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


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


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# AProVE Commit ID: 794c25de1cacf0d048858bcd21c9a779e1221865 marcel 20200619 unpublished dirty


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

(0) DCpxTrs
(1) DerivationalComplexityToRuntimeComplexityProof [BOTH BOUNDS(ID, ID), 0 ms]
(2) CpxRelTRS
(3) SInnermostTerminationProof [BOTH CONCRETE BOUNDS(ID, ID), 80 ms]
(4) CpxRelTRS
(5) RelTrsToDecreasingLoopProblemProof [LOWER BOUND(ID), 0 ms]
(6) TRS for Loop Detection
(7) RenamingProof [BOTH BOUNDS(ID, ID), 0 ms]
(8) CpxRelTRS
    (9) TypeInferenceProof [BOTH BOUNDS(ID, ID), 0 ms]
    (10) typed CpxTrs
    (11) OrderProof [LOWER BOUND(ID), 15 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), 2403 ms]
    (18) CpxRelTRS
    (19) RelTrsToWeightedTrsProof [BOTH BOUNDS(ID, ID), 1 ms]
    (20) CpxWeightedTrs
        (21) CpxWeightedTrsRenamingProof [BOTH BOUNDS(ID, ID), 43 ms]
        (22) CpxWeightedTrs
        (23) TypeInferenceProof [BOTH BOUNDS(ID, ID), 0 ms]
        (24) CpxTypedWeightedTrs
        (25) CompletionProof [UPPER BOUND(ID), 0 ms]
        (26) CpxTypedWeightedCompleteTrs
            (27) CpxTypedWeightedTrsToRntsProof [UPPER BOUND(ID), 22 ms]
            (28) CpxRNTS
        (29) CompletionProof [UPPER BOUND(ID), 20 ms]
        (30) CpxTypedWeightedCompleteTrs
            (31) NarrowingProof [BOTH BOUNDS(ID, ID), 4322 ms]
            (32) CpxTypedWeightedCompleteTrs
            (33) CpxTypedWeightedTrsToRntsProof [UPPER BOUND(ID), 20 ms]
            (34) CpxRNTS
            (35) SimplificationProof [BOTH BOUNDS(ID, ID), 48 ms]
            (36) CpxRNTS
    (37) CpxTrsToCdtProof [UPPER BOUND(ID), 1608 ms]
    (38) CdtProblem
        (39) CdtLeafRemovalProof [ComplexityIfPolyImplication, 0 ms]
        (40) CdtProblem
        (41) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 455 ms]
        (42) CdtProblem
        (43) CdtGraphSplitRhsProof [BOTH BOUNDS(ID, ID), 13 ms]
        (44) CdtProblem
        (45) CdtLeafRemovalProof [ComplexityIfPolyImplication, 0 ms]
        (46) CdtProblem
        (47) CdtUsableRulesProof [BOTH BOUNDS(ID, ID), 13.7 s]
        (48) CdtProblem
        (49) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 4745 ms]
        (50) CdtProblem
        (51) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 4813 ms]
        (52) CdtProblem
        (53) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 10.2 s]
        (54) CdtProblem
        (55) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 5 ms]
        (56) 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(0(1(2(0(2(0(1(2(2(1(1(1(1(1(0(2(2(x1)))))))))))))))))))) -> 0(2(0(0(1(0(1(0(0(2(0(0(2(0(2(1(1(0(1(2(x1))))))))))))))))))))
   0(0(0(1(0(2(0(2(1(2(0(1(1(2(1(1(2(2(1(1(x1)))))))))))))))))))) -> 0(1(2(0(2(2(1(1(1(0(1(0(2(1(2(1(2(1(2(1(x1))))))))))))))))))))
   0(0(0(1(2(0(2(2(1(1(0(1(0(1(2(0(1(1(1(1(x1)))))))))))))))))))) -> 0(1(2(0(1(2(1(0(1(0(1(0(2(0(1(1(1(1(0(2(x1))))))))))))))))))))
   0(0(0(2(0(0(0(2(1(2(2(1(1(0(0(0(1(1(1(2(x1)))))))))))))))))))) -> 0(2(2(1(0(1(0(2(2(2(1(1(2(0(0(0(0(0(1(2(x1))))))))))))))))))))
   0(0(0(2(1(2(2(0(1(1(0(0(1(1(2(1(0(2(2(1(x1)))))))))))))))))))) -> 0(2(0(1(1(2(0(1(2(1(2(1(0(2(2(0(2(0(1(0(x1))))))))))))))))))))
   0(0(0(2(2(1(1(2(2(0(0(2(1(2(0(1(1(0(2(2(x1)))))))))))))))))))) -> 0(2(2(2(1(0(0(2(1(2(1(2(1(2(1(1(1(2(0(2(x1))))))))))))))))))))
   0(0(1(0(0(1(1(2(1(1(2(2(1(1(2(2(1(1(0(2(x1)))))))))))))))))))) -> 0(1(1(0(0(2(0(0(2(0(2(1(1(1(1(1(0(2(0(2(x1))))))))))))))))))))
   0(0(1(0(1(0(2(0(0(1(2(1(1(2(2(2(1(0(2(1(x1)))))))))))))))))))) -> 0(2(1(0(1(0(0(0(2(0(0(1(2(0(2(1(0(0(2(0(x1))))))))))))))))))))
   0(0(1(0(1(2(2(2(1(1(2(1(2(1(0(2(0(1(2(0(x1)))))))))))))))))))) -> 0(2(0(1(1(2(2(2(1(0(0(2(1(0(0(0(0(2(0(2(x1))))))))))))))))))))
   0(0(1(0(2(0(2(1(1(1(0(0(0(2(2(1(2(1(1(2(x1)))))))))))))))))))) -> 0(2(0(0(2(2(0(2(1(1(2(1(2(1(0(2(2(0(2(0(x1))))))))))))))))))))
   0(0(1(0(2(1(2(2(2(2(0(1(2(0(1(1(2(2(0(2(x1)))))))))))))))))))) -> 0(0(2(1(1(0(0(2(2(2(0(1(2(2(0(1(2(2(0(2(x1))))))))))))))))))))
   0(0(1(0(2(2(1(2(0(0(1(1(2(2(2(1(1(2(1(1(x1)))))))))))))))))))) -> 0(2(0(2(2(0(0(1(2(0(2(0(0(1(1(0(0(2(1(1(x1))))))))))))))))))))
   0(0(1(0(2(2(2(2(1(0(2(1(0(2(2(0(1(1(2(1(x1)))))))))))))))))))) -> 0(0(1(0(0(0(0(2(2(2(2(0(0(0(1(0(0(2(1(1(x1))))))))))))))))))))
   0(0(1(1(0(2(2(1(1(1(1(1(2(0(2(1(0(2(2(1(x1)))))))))))))))))))) -> 0(2(0(1(1(0(1(2(2(2(0(0(2(2(2(0(2(0(0(0(x1))))))))))))))))))))
   0(0(1(1(1(1(0(2(2(2(2(1(1(2(2(2(1(1(2(1(x1)))))))))))))))))))) -> 0(1(0(0(1(1(2(2(0(2(2(0(2(0(0(0(2(2(1(1(x1))))))))))))))))))))
   0(0(1(2(0(1(2(0(1(1(1(0(2(2(1(0(2(1(1(2(x1)))))))))))))))))))) -> 0(1(2(2(0(2(2(2(1(0(1(2(2(1(0(0(1(1(1(2(x1))))))))))))))))))))
   0(0(1(2(2(0(1(1(2(0(0(2(2(1(0(2(1(2(1(0(x1)))))))))))))))))))) -> 0(2(2(0(2(0(2(1(0(2(0(0(2(2(1(0(0(0(2(0(x1))))))))))))))))))))
   0(0(1(2(2(1(0(1(1(1(0(0(1(2(1(2(2(2(0(2(x1)))))))))))))))))))) -> 0(1(1(2(2(0(0(2(0(2(2(0(0(1(0(0(0(0(0(0(x1))))))))))))))))))))
   0(0(1(2(2(1(1(0(2(2(2(0(1(1(1(1(0(1(2(1(x1)))))))))))))))))))) -> 0(1(2(2(0(1(1(1(2(0(2(0(0(1(2(0(2(1(2(0(x1))))))))))))))))))))
   0(0(2(0(0(0(2(1(2(2(2(1(1(1(0(2(1(1(0(0(x1)))))))))))))))))))) -> 0(2(0(1(2(0(1(2(0(1(0(1(2(2(1(2(1(0(0(0(x1))))))))))))))))))))
   0(0(2(0(1(1(2(0(2(1(0(2(2(1(1(0(1(2(0(1(x1)))))))))))))))))))) -> 0(1(2(0(2(0(1(0(1(2(1(0(0(2(2(1(0(1(0(1(x1))))))))))))))))))))
   0(0(2(0(1(2(2(0(0(1(2(2(0(0(2(2(1(1(0(1(x1)))))))))))))))))))) -> 0(0(1(2(0(0(1(1(0(2(0(2(0(0(0(0(0(2(0(1(x1))))))))))))))))))))
   0(0(2(0(2(1(1(2(1(1(1(1(1(0(1(1(1(2(2(1(x1)))))))))))))))))))) -> 0(2(0(0(2(1(1(2(2(0(2(0(1(2(2(2(1(1(1(2(x1))))))))))))))))))))
   0(0(2(1(0(1(0(0(2(0(1(1(0(2(0(2(2(2(2(0(x1)))))))))))))))))))) -> 0(2(2(0(0(0(2(1(0(0(0(1(1(2(0(1(1(0(0(0(x1))))))))))))))))))))
   0(0(2(1(1(0(2(2(1(1(1(1(2(2(0(0(2(1(0(0(x1)))))))))))))))))))) -> 0(2(2(1(1(1(2(1(0(1(2(1(2(1(1(2(1(0(0(0(x1))))))))))))))))))))
   0(0(2(2(0(0(1(0(2(2(1(1(2(2(1(0(2(2(0(1(x1)))))))))))))))))))) -> 0(2(0(2(2(1(0(0(2(2(1(2(1(1(0(0(2(0(2(1(x1))))))))))))))))))))
   0(0(2(2(0(1(0(2(1(2(1(1(2(2(2(1(1(2(0(2(x1)))))))))))))))))))) -> 0(0(1(2(1(2(1(2(1(2(0(1(2(1(0(0(0(1(2(0(x1))))))))))))))))))))
   0(0(2(2(1(1(1(0(1(0(1(0(1(2(2(2(1(2(0(0(x1)))))))))))))))))))) -> 0(1(0(2(0(2(2(1(0(1(0(2(1(2(1(0(1(1(1(2(x1))))))))))))))))))))
   0(0(2(2(1(2(0(1(2(2(0(1(0(0(0(2(2(0(0(0(x1)))))))))))))))))))) -> 0(0(0(0(2(0(0(0(2(2(2(0(2(0(1(0(1(0(0(0(x1))))))))))))))))))))
   0(0(2(2(2(0(1(0(1(1(1(0(1(0(0(0(1(1(2(0(x1)))))))))))))))))))) -> 0(2(0(2(2(2(2(0(2(2(1(0(0(0(0(0(0(2(0(0(x1))))))))))))))))))))
   0(1(0(0(1(0(2(1(2(2(1(2(2(1(1(1(1(2(2(1(x1)))))))))))))))))))) -> 0(0(1(1(1(0(1(0(0(0(2(2(1(1(2(0(0(2(1(2(x1))))))))))))))))))))
   0(1(0(0(1(1(1(0(1(1(2(1(1(1(2(2(1(2(2(1(x1)))))))))))))))))))) -> 0(0(1(1(1(2(1(0(2(0(0(0(1(2(2(0(0(1(1(1(x1))))))))))))))))))))
   0(1(0(0(2(2(0(1(2(2(1(2(1(0(1(2(2(2(1(0(x1)))))))))))))))))))) -> 0(0(2(2(0(2(2(2(1(0(2(1(2(0(2(2(0(0(2(2(x1))))))))))))))))))))
   0(1(0(0(2(2(0(2(2(1(2(1(2(1(1(0(0(2(2(2(x1)))))))))))))))))))) -> 0(2(0(1(2(1(0(1(0(0(0(0(0(0(2(0(1(0(2(1(x1))))))))))))))))))))
   0(1(0(1(0(1(1(0(0(0(1(0(2(1(1(2(0(1(0(1(x1)))))))))))))))))))) -> 0(0(2(1(1(0(0(2(0(2(1(0(1(1(0(2(2(0(1(2(x1))))))))))))))))))))
   0(1(0(1(1(1(1(2(0(2(2(2(2(2(2(1(0(2(0(1(x1)))))))))))))))))))) -> 0(0(0(2(2(1(0(0(1(2(1(0(2(2(1(0(0(2(2(1(x1))))))))))))))))))))
   0(1(0(1(1(2(1(0(0(0(2(2(2(1(2(1(2(1(0(2(x1)))))))))))))))))))) -> 0(1(0(0(2(2(1(2(1(0(1(0(0(0(2(0(0(2(1(2(x1))))))))))))))))))))
   0(1(0(1(1(2(2(0(0(0(2(2(2(1(1(0(1(1(1(1(x1)))))))))))))))))))) -> 0(0(2(2(2(2(2(2(1(1(0(1(2(2(0(1(2(0(2(1(x1))))))))))))))))))))
   0(1(0(1(1(2(2(1(0(1(2(1(1(0(1(2(0(2(0(2(x1)))))))))))))))))))) -> 0(2(0(1(0(1(1(0(0(1(0(2(0(0(0(2(2(0(2(0(x1))))))))))))))))))))
   0(1(0(1(2(1(1(1(0(0(1(1(2(2(2(0(2(0(1(2(x1)))))))))))))))))))) -> 0(2(1(1(2(1(0(2(0(1(1(0(2(0(1(0(2(2(0(2(x1))))))))))))))))))))
   0(1(0(1(2(1(1(1(2(2(0(2(1(1(2(1(2(0(2(1(x1)))))))))))))))))))) -> 0(2(1(2(0(0(2(1(2(2(1(2(1(2(0(2(0(0(2(1(x1))))))))))))))))))))
   0(1(0(2(0(0(1(2(2(2(1(2(2(2(0(0(0(1(2(2(x1)))))))))))))))))))) -> 0(1(0(1(1(2(1(0(0(1(0(0(2(2(2(1(0(2(0(0(x1))))))))))))))))))))
   0(1(0(2(0(2(1(1(1(0(1(2(2(0(2(0(1(1(2(0(x1)))))))))))))))))))) -> 0(0(1(2(0(0(0(0(0(0(1(1(0(2(0(2(1(2(1(0(x1))))))))))))))))))))
   0(1(0(2(1(1(1(0(2(2(1(1(1(1(2(0(2(1(0(0(x1)))))))))))))))))))) -> 0(2(1(0(2(0(0(1(2(2(0(0(0(1(1(1(1(0(2(2(x1))))))))))))))))))))
   0(1(0(2(2(1(1(0(1(0(2(2(1(0(2(0(1(0(1(1(x1)))))))))))))))))))) -> 0(1(2(0(0(2(2(0(0(0(0(2(1(2(1(0(1(2(0(2(x1))))))))))))))))))))
   0(1(0(2(2(2(1(2(1(1(1(2(1(0(2(1(1(1(0(1(x1)))))))))))))))))))) -> 0(0(1(2(2(2(1(0(0(1(1(2(1(1(2(0(0(1(2(0(x1))))))))))))))))))))
   0(1(1(0(0(2(0(2(1(1(1(2(1(2(1(0(0(1(1(1(x1)))))))))))))))))))) -> 0(1(0(0(2(2(0(0(2(2(0(2(0(0(1(2(1(0(1(2(x1))))))))))))))))))))
   0(1(1(0(1(0(2(1(1(2(2(0(2(0(2(0(2(2(0(1(x1)))))))))))))))))))) -> 0(2(0(2(1(0(0(1(2(2(1(2(2(1(2(2(1(2(2(0(x1))))))))))))))))))))
   0(1(1(0(1(1(1(1(2(0(2(0(2(2(2(0(0(0(2(1(x1)))))))))))))))))))) -> 0(1(0(1(2(2(2(0(2(2(1(1(2(2(2(0(0(0(1(0(x1))))))))))))))))))))
   0(1(1(0(1(2(1(2(0(2(2(1(0(0(2(0(1(0(1(1(x1)))))))))))))))))))) -> 0(0(0(1(2(0(2(2(2(0(1(0(1(2(1(1(1(0(2(0(x1))))))))))))))))))))
   0(1(1(0(2(0(2(1(2(1(2(2(0(2(1(2(2(1(1(0(x1)))))))))))))))))))) -> 0(2(0(1(1(1(0(1(0(1(2(0(2(2(1(0(2(0(0(2(x1))))))))))))))))))))
   0(1(1(0(2(1(1(0(0(1(1(1(2(2(2(0(2(0(0(2(x1)))))))))))))))))))) -> 0(1(2(1(0(2(1(0(1(2(2(2(0(0(2(0(2(2(1(2(x1))))))))))))))))))))
   0(1(1(0(2(1(2(1(1(0(1(1(2(1(0(1(0(1(1(1(x1)))))))))))))))))))) -> 0(1(1(1(2(1(2(2(0(1(1(0(2(2(0(0(2(1(0(2(x1))))))))))))))))))))
   0(1(1(0(2(2(0(1(2(2(2(0(2(2(1(2(1(2(1(0(x1)))))))))))))))))))) -> 0(0(2(0(0(2(0(2(1(0(2(2(2(0(0(0(2(1(1(2(x1))))))))))))))))))))
   0(1(1(1(1(1(1(2(2(0(2(0(2(2(0(2(1(0(1(0(x1)))))))))))))))))))) -> 0(2(0(1(1(0(2(0(0(1(1(2(0(1(0(0(1(0(2(0(x1))))))))))))))))))))
   0(1(1(1(1(2(0(0(0(2(2(2(2(1(0(2(2(2(0(1(x1)))))))))))))))))))) -> 0(2(0(0(0(1(2(0(1(2(2(2(1(2(1(1(1(2(1(2(x1))))))))))))))))))))
   0(1(1(1(2(2(1(2(1(1(1(0(0(1(1(1(2(1(1(0(x1)))))))))))))))))))) -> 0(0(1(0(2(0(1(1(1(2(0(2(1(2(2(0(2(1(2(1(x1))))))))))))))))))))
   0(1(1(2(0(1(0(0(1(2(0(2(1(0(0(0(0(2(0(1(x1)))))))))))))))))))) -> 0(0(2(1(2(2(2(1(2(1(0(0(0(2(2(1(0(1(2(0(x1))))))))))))))))))))
   0(1(1(2(0(2(0(2(2(1(1(2(0(1(2(2(0(1(0(0(x1)))))))))))))))))))) -> 0(1(2(0(0(0(2(1(2(0(1(2(2(2(2(0(1(1(0(1(x1))))))))))))))))))))
   0(1(1(2(1(1(1(1(0(0(0(0(1(1(0(1(0(1(1(0(x1)))))))))))))))))))) -> 0(0(0(1(0(1(0(1(1(1(2(0(1(2(2(0(2(2(0(2(x1))))))))))))))))))))
   0(1(1(2(2(2(2(1(0(2(0(0(1(2(2(1(2(2(2(2(x1)))))))))))))))))))) -> 0(1(0(0(2(0(0(1(2(1(2(0(1(2(2(1(0(2(0(2(x1))))))))))))))))))))
   0(1(2(0(0(1(2(0(2(0(0(1(0(2(0(0(2(1(2(0(x1)))))))))))))))))))) -> 0(2(1(2(0(0(0(2(0(0(2(1(2(2(0(2(2(0(0(0(x1))))))))))))))))))))
   0(1(2(0(0(2(1(1(0(2(1(0(1(1(1(0(1(1(0(0(x1)))))))))))))))))))) -> 0(0(0(2(0(1(1(2(2(0(2(0(0(2(1(0(0(2(1(1(x1))))))))))))))))))))
   0(1(2(0(1(0(2(0(2(1(2(2(1(1(1(2(0(1(2(1(x1)))))))))))))))))))) -> 0(0(2(2(2(0(0(0(1(0(0(0(0(2(1(2(1(1(2(1(x1))))))))))))))))))))
   0(1(2(0(2(0(0(2(1(1(1(2(2(0(0(0(2(0(0(0(x1)))))))))))))))))))) -> 0(1(0(0(2(1(0(1(1(0(1(2(2(0(1(2(1(0(1(0(x1))))))))))))))))))))
   0(1(2(1(0(1(2(2(1(1(0(0(1(1(2(2(1(0(1(1(x1)))))))))))))))))))) -> 0(2(2(2(0(2(0(2(0(1(2(1(2(2(2(1(0(0(1(0(x1))))))))))))))))))))
   0(1(2(2(0(1(1(1(2(1(0(0(2(0(1(2(2(0(1(2(x1)))))))))))))))))))) -> 0(2(0(0(2(0(2(2(1(0(1(1(1(0(2(0(1(2(0(0(x1))))))))))))))))))))
   0(1(2(2(2(0(0(2(0(1(2(1(0(1(0(0(2(0(0(2(x1)))))))))))))))))))) -> 0(0(0(1(2(0(2(1(2(2(0(0(0(1(0(1(0(0(1(2(x1))))))))))))))))))))
   0(1(2(2(2(2(2(2(2(1(0(2(2(1(1(2(1(2(1(1(x1)))))))))))))))))))) -> 0(2(1(0(2(1(0(1(2(0(0(0(1(2(0(0(0(0(0(1(x1))))))))))))))))))))
   0(2(0(0(0(2(1(1(0(2(2(1(1(0(0(0(0(1(0(0(x1)))))))))))))))))))) -> 0(0(2(1(0(0(0(2(2(2(2(0(0(2(0(2(1(2(1(2(x1))))))))))))))))))))
   0(2(0(0(1(0(2(1(0(2(2(0(1(0(2(1(2(1(1(2(x1)))))))))))))))))))) -> 0(2(1(0(2(1(0(2(1(2(1(0(1(2(0(1(0(0(0(0(x1))))))))))))))))))))
   0(2(0(1(1(0(1(1(1(0(1(0(0(2(1(0(2(2(2(0(x1)))))))))))))))))))) -> 0(2(2(2(0(0(2(0(0(2(0(1(2(1(2(2(1(2(1(2(x1))))))))))))))))))))
   0(2(0(1(1(1(0(1(2(2(0(2(0(2(0(2(1(2(0(1(x1)))))))))))))))))))) -> 0(2(2(0(1(2(2(2(2(1(0(2(1(2(0(0(2(2(2(1(x1))))))))))))))))))))
   0(2(0(1(2(1(1(1(1(2(0(2(1(2(0(1(2(2(0(1(x1)))))))))))))))))))) -> 0(1(1(1(1(2(1(0(0(1(1(0(2(1(0(0(2(0(0(1(x1))))))))))))))))))))
   0(2(0(2(0(2(0(2(1(1(0(2(1(1(1(1(2(0(2(0(x1)))))))))))))))))))) -> 0(1(0(2(1(2(1(1(0(0(2(2(2(0(0(1(2(2(0(0(x1))))))))))))))))))))
   0(2(0(2(0(2(1(2(2(0(1(1(1(2(1(1(0(2(0(1(x1)))))))))))))))))))) -> 0(2(0(0(1(1(1(0(2(1(1(2(0(0(0(2(2(1(1(0(x1))))))))))))))))))))
   0(2(0(2(1(0(0(1(2(0(2(0(1(0(1(1(1(2(2(1(x1)))))))))))))))))))) -> 0(0(1(0(1(0(1(1(2(1(0(0(0(1(2(2(2(0(1(0(x1))))))))))))))))))))
   0(2(0(2(1(1(2(0(0(0(2(1(2(1(2(0(0(1(2(0(x1)))))))))))))))))))) -> 0(2(2(0(1(2(0(1(0(0(0(0(2(1(0(0(0(0(1(2(x1))))))))))))))))))))
   0(2(0(2(1(2(1(2(2(0(2(1(1(1(2(1(1(1(1(1(x1)))))))))))))))))))) -> 0(1(1(1(0(2(1(0(1(2(1(0(0(0(2(1(1(2(0(1(x1))))))))))))))))))))
   0(2(1(0(1(2(2(0(0(1(2(0(2(2(2(2(2(2(1(1(x1)))))))))))))))))))) -> 0(0(0(1(2(2(0(0(0(1(2(0(0(0(2(2(0(1(0(2(x1))))))))))))))))))))
   0(2(1(1(0(2(1(1(1(1(2(2(0(1(1(1(2(2(1(1(x1)))))))))))))))))))) -> 0(0(2(0(0(1(0(2(2(1(0(1(1(0(0(2(0(2(2(1(x1))))))))))))))))))))
   0(2(1(1(1(0(0(1(2(1(2(1(1(2(0(2(1(0(1(2(x1)))))))))))))))))))) -> 0(1(0(1(0(2(0(0(0(1(1(1(2(0(0(0(1(2(2(2(x1))))))))))))))))))))
   0(2(1(1(1(0(2(1(1(0(1(0(2(2(0(0(2(0(2(1(x1)))))))))))))))))))) -> 0(1(0(1(2(2(2(1(1(0(2(2(1(2(0(0(0(0(2(1(x1))))))))))))))))))))
   0(2(1(1(1(1(0(0(0(0(2(1(2(0(0(2(1(0(2(1(x1)))))))))))))))))))) -> 0(0(0(1(0(1(1(2(0(2(0(0(2(2(2(2(1(0(2(1(x1))))))))))))))))))))
   0(2(1(1(1(2(2(0(0(0(2(1(0(1(2(2(1(0(2(0(x1)))))))))))))))))))) -> 0(1(0(1(0(0(0(1(0(2(1(1(0(0(2(1(2(0(2(1(x1))))))))))))))))))))
   0(2(1(1(2(0(2(2(2(0(1(2(0(2(0(2(2(0(0(1(x1)))))))))))))))))))) -> 0(0(2(1(2(0(0(0(2(0(1(2(2(2(1(0(1(1(1(0(x1))))))))))))))))))))
   0(2(1(1(2(1(2(2(2(0(0(1(0(2(1(1(1(2(2(0(x1)))))))))))))))))))) -> 0(0(0(2(1(0(1(2(1(2(1(1(1(2(0(0(0(1(1(0(x1))))))))))))))))))))
   0(2(1(2(0(1(1(1(2(0(1(1(2(1(2(0(2(0(2(0(x1)))))))))))))))))))) -> 0(1(2(1(1(0(1(1(2(1(2(0(1(0(1(2(2(0(2(2(x1))))))))))))))))))))
   0(2(1(2(0(1(1(2(2(0(1(1(0(1(2(1(0(0(0(1(x1)))))))))))))))))))) -> 0(0(1(0(0(2(0(2(0(1(2(1(0(0(0(1(0(0(2(1(x1))))))))))))))))))))
   0(2(2(0(0(2(1(0(2(0(2(0(2(0(1(1(2(2(1(0(x1)))))))))))))))))))) -> 0(2(0(0(0(0(0(0(1(2(0(1(2(2(0(1(0(1(0(1(x1))))))))))))))))))))
   0(2(2(0(1(2(2(0(1(1(2(1(1(2(2(2(1(0(1(2(x1)))))))))))))))))))) -> 0(2(1(0(0(0(2(0(1(1(1(0(1(0(2(2(1(1(2(2(x1))))))))))))))))))))
   0(2(2(0(2(0(1(1(2(2(2(0(2(2(0(2(0(1(2(0(x1)))))))))))))))))))) -> 0(1(1(0(0(0(2(0(0(1(1(1(0(1(1(0(0(0(0(2(x1))))))))))))))))))))
   0(2(2(1(0(0(1(1(2(0(2(2(0(1(1(2(2(1(0(0(x1)))))))))))))))))))) -> 0(2(1(0(2(2(0(0(0(0(0(1(2(1(0(1(1(2(1(1(x1))))))))))))))))))))
   0(2(2(1(1(1(1(0(0(1(0(1(0(2(2(1(1(2(2(1(x1)))))))))))))))))))) -> 0(2(2(2(0(2(2(1(1(2(2(2(2(0(2(0(0(2(0(2(x1))))))))))))))))))))
   0(2(2(1(1(2(0(1(0(1(0(2(0(1(0(1(0(2(1(1(x1)))))))))))))))))))) -> 0(1(1(0(0(1(1(0(0(2(2(1(1(2(2(0(0(0(2(0(x1))))))))))))))))))))
   0(2(2(1(1(2(2(1(0(2(1(2(1(1(2(2(2(0(2(0(x1)))))))))))))))))))) -> 0(2(1(2(2(2(1(0(0(1(0(0(0(1(2(1(1(2(2(1(x1))))))))))))))))))))
   0(2(2(1(2(0(1(1(0(0(1(1(2(0(1(1(0(2(2(2(x1)))))))))))))))))))) -> 0(2(2(2(0(2(0(0(2(2(0(0(2(1(1(0(0(2(1(1(x1))))))))))))))))))))
   0(2(2(2(2(1(0(0(0(2(2(1(0(1(1(1(0(1(2(2(x1)))))))))))))))))))) -> 0(0(2(2(0(2(0(2(0(1(1(2(0(0(0(0(2(1(1(2(x1))))))))))))))))))))
   1(2(2(0(2(0(2(1(2(1(2(1(0(0(1(0(0(2(0(1(x1)))))))))))))))))))) -> 1(0(1(2(0(1(0(0(1(0(0(0(2(1(0(0(1(0(0(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(2(x_1)) -> 2(encArg(x_1))
   encArg(cons_0(x_1)) -> 0(encArg(x_1))
   encArg(cons_1(x_1)) -> 1(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(0(1(2(0(2(0(1(2(2(1(1(1(1(1(0(2(2(x1)))))))))))))))))))) -> 0(2(0(0(1(0(1(0(0(2(0(0(2(0(2(1(1(0(1(2(x1))))))))))))))))))))
   0(0(0(1(0(2(0(2(1(2(0(1(1(2(1(1(2(2(1(1(x1)))))))))))))))))))) -> 0(1(2(0(2(2(1(1(1(0(1(0(2(1(2(1(2(1(2(1(x1))))))))))))))))))))
   0(0(0(1(2(0(2(2(1(1(0(1(0(1(2(0(1(1(1(1(x1)))))))))))))))))))) -> 0(1(2(0(1(2(1(0(1(0(1(0(2(0(1(1(1(1(0(2(x1))))))))))))))))))))
   0(0(0(2(0(0(0(2(1(2(2(1(1(0(0(0(1(1(1(2(x1)))))))))))))))))))) -> 0(2(2(1(0(1(0(2(2(2(1(1(2(0(0(0(0(0(1(2(x1))))))))))))))))))))
   0(0(0(2(1(2(2(0(1(1(0(0(1(1(2(1(0(2(2(1(x1)))))))))))))))))))) -> 0(2(0(1(1(2(0(1(2(1(2(1(0(2(2(0(2(0(1(0(x1))))))))))))))))))))
   0(0(0(2(2(1(1(2(2(0(0(2(1(2(0(1(1(0(2(2(x1)))))))))))))))))))) -> 0(2(2(2(1(0(0(2(1(2(1(2(1(2(1(1(1(2(0(2(x1))))))))))))))))))))
   0(0(1(0(0(1(1(2(1(1(2(2(1(1(2(2(1(1(0(2(x1)))))))))))))))))))) -> 0(1(1(0(0(2(0(0(2(0(2(1(1(1(1(1(0(2(0(2(x1))))))))))))))))))))
   0(0(1(0(1(0(2(0(0(1(2(1(1(2(2(2(1(0(2(1(x1)))))))))))))))))))) -> 0(2(1(0(1(0(0(0(2(0(0(1(2(0(2(1(0(0(2(0(x1))))))))))))))))))))
   0(0(1(0(1(2(2(2(1(1(2(1(2(1(0(2(0(1(2(0(x1)))))))))))))))))))) -> 0(2(0(1(1(2(2(2(1(0(0(2(1(0(0(0(0(2(0(2(x1))))))))))))))))))))
   0(0(1(0(2(0(2(1(1(1(0(0(0(2(2(1(2(1(1(2(x1)))))))))))))))))))) -> 0(2(0(0(2(2(0(2(1(1(2(1(2(1(0(2(2(0(2(0(x1))))))))))))))))))))
   0(0(1(0(2(1(2(2(2(2(0(1(2(0(1(1(2(2(0(2(x1)))))))))))))))))))) -> 0(0(2(1(1(0(0(2(2(2(0(1(2(2(0(1(2(2(0(2(x1))))))))))))))))))))
   0(0(1(0(2(2(1(2(0(0(1(1(2(2(2(1(1(2(1(1(x1)))))))))))))))))))) -> 0(2(0(2(2(0(0(1(2(0(2(0(0(1(1(0(0(2(1(1(x1))))))))))))))))))))
   0(0(1(0(2(2(2(2(1(0(2(1(0(2(2(0(1(1(2(1(x1)))))))))))))))))))) -> 0(0(1(0(0(0(0(2(2(2(2(0(0(0(1(0(0(2(1(1(x1))))))))))))))))))))
   0(0(1(1(0(2(2(1(1(1(1(1(2(0(2(1(0(2(2(1(x1)))))))))))))))))))) -> 0(2(0(1(1(0(1(2(2(2(0(0(2(2(2(0(2(0(0(0(x1))))))))))))))))))))
   0(0(1(1(1(1(0(2(2(2(2(1(1(2(2(2(1(1(2(1(x1)))))))))))))))))))) -> 0(1(0(0(1(1(2(2(0(2(2(0(2(0(0(0(2(2(1(1(x1))))))))))))))))))))
   0(0(1(2(0(1(2(0(1(1(1(0(2(2(1(0(2(1(1(2(x1)))))))))))))))))))) -> 0(1(2(2(0(2(2(2(1(0(1(2(2(1(0(0(1(1(1(2(x1))))))))))))))))))))
   0(0(1(2(2(0(1(1(2(0(0(2(2(1(0(2(1(2(1(0(x1)))))))))))))))))))) -> 0(2(2(0(2(0(2(1(0(2(0(0(2(2(1(0(0(0(2(0(x1))))))))))))))))))))
   0(0(1(2(2(1(0(1(1(1(0(0(1(2(1(2(2(2(0(2(x1)))))))))))))))))))) -> 0(1(1(2(2(0(0(2(0(2(2(0(0(1(0(0(0(0(0(0(x1))))))))))))))))))))
   0(0(1(2(2(1(1(0(2(2(2(0(1(1(1(1(0(1(2(1(x1)))))))))))))))))))) -> 0(1(2(2(0(1(1(1(2(0(2(0(0(1(2(0(2(1(2(0(x1))))))))))))))))))))
   0(0(2(0(0(0(2(1(2(2(2(1(1(1(0(2(1(1(0(0(x1)))))))))))))))))))) -> 0(2(0(1(2(0(1(2(0(1(0(1(2(2(1(2(1(0(0(0(x1))))))))))))))))))))
   0(0(2(0(1(1(2(0(2(1(0(2(2(1(1(0(1(2(0(1(x1)))))))))))))))))))) -> 0(1(2(0(2(0(1(0(1(2(1(0(0(2(2(1(0(1(0(1(x1))))))))))))))))))))
   0(0(2(0(1(2(2(0(0(1(2(2(0(0(2(2(1(1(0(1(x1)))))))))))))))))))) -> 0(0(1(2(0(0(1(1(0(2(0(2(0(0(0(0(0(2(0(1(x1))))))))))))))))))))
   0(0(2(0(2(1(1(2(1(1(1(1(1(0(1(1(1(2(2(1(x1)))))))))))))))))))) -> 0(2(0(0(2(1(1(2(2(0(2(0(1(2(2(2(1(1(1(2(x1))))))))))))))))))))
   0(0(2(1(0(1(0(0(2(0(1(1(0(2(0(2(2(2(2(0(x1)))))))))))))))))))) -> 0(2(2(0(0(0(2(1(0(0(0(1(1(2(0(1(1(0(0(0(x1))))))))))))))))))))
   0(0(2(1(1(0(2(2(1(1(1(1(2(2(0(0(2(1(0(0(x1)))))))))))))))))))) -> 0(2(2(1(1(1(2(1(0(1(2(1(2(1(1(2(1(0(0(0(x1))))))))))))))))))))
   0(0(2(2(0(0(1(0(2(2(1(1(2(2(1(0(2(2(0(1(x1)))))))))))))))))))) -> 0(2(0(2(2(1(0(0(2(2(1(2(1(1(0(0(2(0(2(1(x1))))))))))))))))))))
   0(0(2(2(0(1(0(2(1(2(1(1(2(2(2(1(1(2(0(2(x1)))))))))))))))))))) -> 0(0(1(2(1(2(1(2(1(2(0(1(2(1(0(0(0(1(2(0(x1))))))))))))))))))))
   0(0(2(2(1(1(1(0(1(0(1(0(1(2(2(2(1(2(0(0(x1)))))))))))))))))))) -> 0(1(0(2(0(2(2(1(0(1(0(2(1(2(1(0(1(1(1(2(x1))))))))))))))))))))
   0(0(2(2(1(2(0(1(2(2(0(1(0(0(0(2(2(0(0(0(x1)))))))))))))))))))) -> 0(0(0(0(2(0(0(0(2(2(2(0(2(0(1(0(1(0(0(0(x1))))))))))))))))))))
   0(0(2(2(2(0(1(0(1(1(1(0(1(0(0(0(1(1(2(0(x1)))))))))))))))))))) -> 0(2(0(2(2(2(2(0(2(2(1(0(0(0(0(0(0(2(0(0(x1))))))))))))))))))))
   0(1(0(0(1(0(2(1(2(2(1(2(2(1(1(1(1(2(2(1(x1)))))))))))))))))))) -> 0(0(1(1(1(0(1(0(0(0(2(2(1(1(2(0(0(2(1(2(x1))))))))))))))))))))
   0(1(0(0(1(1(1(0(1(1(2(1(1(1(2(2(1(2(2(1(x1)))))))))))))))))))) -> 0(0(1(1(1(2(1(0(2(0(0(0(1(2(2(0(0(1(1(1(x1))))))))))))))))))))
   0(1(0(0(2(2(0(1(2(2(1(2(1(0(1(2(2(2(1(0(x1)))))))))))))))))))) -> 0(0(2(2(0(2(2(2(1(0(2(1(2(0(2(2(0(0(2(2(x1))))))))))))))))))))
   0(1(0(0(2(2(0(2(2(1(2(1(2(1(1(0(0(2(2(2(x1)))))))))))))))))))) -> 0(2(0(1(2(1(0(1(0(0(0(0(0(0(2(0(1(0(2(1(x1))))))))))))))))))))
   0(1(0(1(0(1(1(0(0(0(1(0(2(1(1(2(0(1(0(1(x1)))))))))))))))))))) -> 0(0(2(1(1(0(0(2(0(2(1(0(1(1(0(2(2(0(1(2(x1))))))))))))))))))))
   0(1(0(1(1(1(1(2(0(2(2(2(2(2(2(1(0(2(0(1(x1)))))))))))))))))))) -> 0(0(0(2(2(1(0(0(1(2(1(0(2(2(1(0(0(2(2(1(x1))))))))))))))))))))
   0(1(0(1(1(2(1(0(0(0(2(2(2(1(2(1(2(1(0(2(x1)))))))))))))))))))) -> 0(1(0(0(2(2(1(2(1(0(1(0(0(0(2(0(0(2(1(2(x1))))))))))))))))))))
   0(1(0(1(1(2(2(0(0(0(2(2(2(1(1(0(1(1(1(1(x1)))))))))))))))))))) -> 0(0(2(2(2(2(2(2(1(1(0(1(2(2(0(1(2(0(2(1(x1))))))))))))))))))))
   0(1(0(1(1(2(2(1(0(1(2(1(1(0(1(2(0(2(0(2(x1)))))))))))))))))))) -> 0(2(0(1(0(1(1(0(0(1(0(2(0(0(0(2(2(0(2(0(x1))))))))))))))))))))
   0(1(0(1(2(1(1(1(0(0(1(1(2(2(2(0(2(0(1(2(x1)))))))))))))))))))) -> 0(2(1(1(2(1(0(2(0(1(1(0(2(0(1(0(2(2(0(2(x1))))))))))))))))))))
   0(1(0(1(2(1(1(1(2(2(0(2(1(1(2(1(2(0(2(1(x1)))))))))))))))))))) -> 0(2(1(2(0(0(2(1(2(2(1(2(1(2(0(2(0(0(2(1(x1))))))))))))))))))))
   0(1(0(2(0(0(1(2(2(2(1(2(2(2(0(0(0(1(2(2(x1)))))))))))))))))))) -> 0(1(0(1(1(2(1(0(0(1(0(0(2(2(2(1(0(2(0(0(x1))))))))))))))))))))
   0(1(0(2(0(2(1(1(1(0(1(2(2(0(2(0(1(1(2(0(x1)))))))))))))))))))) -> 0(0(1(2(0(0(0(0(0(0(1(1(0(2(0(2(1(2(1(0(x1))))))))))))))))))))
   0(1(0(2(1(1(1(0(2(2(1(1(1(1(2(0(2(1(0(0(x1)))))))))))))))))))) -> 0(2(1(0(2(0(0(1(2(2(0(0(0(1(1(1(1(0(2(2(x1))))))))))))))))))))
   0(1(0(2(2(1(1(0(1(0(2(2(1(0(2(0(1(0(1(1(x1)))))))))))))))))))) -> 0(1(2(0(0(2(2(0(0(0(0(2(1(2(1(0(1(2(0(2(x1))))))))))))))))))))
   0(1(0(2(2(2(1(2(1(1(1(2(1(0(2(1(1(1(0(1(x1)))))))))))))))))))) -> 0(0(1(2(2(2(1(0(0(1(1(2(1(1(2(0(0(1(2(0(x1))))))))))))))))))))
   0(1(1(0(0(2(0(2(1(1(1(2(1(2(1(0(0(1(1(1(x1)))))))))))))))))))) -> 0(1(0(0(2(2(0(0(2(2(0(2(0(0(1(2(1(0(1(2(x1))))))))))))))))))))
   0(1(1(0(1(0(2(1(1(2(2(0(2(0(2(0(2(2(0(1(x1)))))))))))))))))))) -> 0(2(0(2(1(0(0(1(2(2(1(2(2(1(2(2(1(2(2(0(x1))))))))))))))))))))
   0(1(1(0(1(1(1(1(2(0(2(0(2(2(2(0(0(0(2(1(x1)))))))))))))))))))) -> 0(1(0(1(2(2(2(0(2(2(1(1(2(2(2(0(0(0(1(0(x1))))))))))))))))))))
   0(1(1(0(1(2(1(2(0(2(2(1(0(0(2(0(1(0(1(1(x1)))))))))))))))))))) -> 0(0(0(1(2(0(2(2(2(0(1(0(1(2(1(1(1(0(2(0(x1))))))))))))))))))))
   0(1(1(0(2(0(2(1(2(1(2(2(0(2(1(2(2(1(1(0(x1)))))))))))))))))))) -> 0(2(0(1(1(1(0(1(0(1(2(0(2(2(1(0(2(0(0(2(x1))))))))))))))))))))
   0(1(1(0(2(1(1(0(0(1(1(1(2(2(2(0(2(0(0(2(x1)))))))))))))))))))) -> 0(1(2(1(0(2(1(0(1(2(2(2(0(0(2(0(2(2(1(2(x1))))))))))))))))))))
   0(1(1(0(2(1(2(1(1(0(1(1(2(1(0(1(0(1(1(1(x1)))))))))))))))))))) -> 0(1(1(1(2(1(2(2(0(1(1(0(2(2(0(0(2(1(0(2(x1))))))))))))))))))))
   0(1(1(0(2(2(0(1(2(2(2(0(2(2(1(2(1(2(1(0(x1)))))))))))))))))))) -> 0(0(2(0(0(2(0(2(1(0(2(2(2(0(0(0(2(1(1(2(x1))))))))))))))))))))
   0(1(1(1(1(1(1(2(2(0(2(0(2(2(0(2(1(0(1(0(x1)))))))))))))))))))) -> 0(2(0(1(1(0(2(0(0(1(1(2(0(1(0(0(1(0(2(0(x1))))))))))))))))))))
   0(1(1(1(1(2(0(0(0(2(2(2(2(1(0(2(2(2(0(1(x1)))))))))))))))))))) -> 0(2(0(0(0(1(2(0(1(2(2(2(1(2(1(1(1(2(1(2(x1))))))))))))))))))))
   0(1(1(1(2(2(1(2(1(1(1(0(0(1(1(1(2(1(1(0(x1)))))))))))))))))))) -> 0(0(1(0(2(0(1(1(1(2(0(2(1(2(2(0(2(1(2(1(x1))))))))))))))))))))
   0(1(1(2(0(1(0(0(1(2(0(2(1(0(0(0(0(2(0(1(x1)))))))))))))))))))) -> 0(0(2(1(2(2(2(1(2(1(0(0(0(2(2(1(0(1(2(0(x1))))))))))))))))))))
   0(1(1(2(0(2(0(2(2(1(1(2(0(1(2(2(0(1(0(0(x1)))))))))))))))))))) -> 0(1(2(0(0(0(2(1(2(0(1(2(2(2(2(0(1(1(0(1(x1))))))))))))))))))))
   0(1(1(2(1(1(1(1(0(0(0(0(1(1(0(1(0(1(1(0(x1)))))))))))))))))))) -> 0(0(0(1(0(1(0(1(1(1(2(0(1(2(2(0(2(2(0(2(x1))))))))))))))))))))
   0(1(1(2(2(2(2(1(0(2(0(0(1(2(2(1(2(2(2(2(x1)))))))))))))))))))) -> 0(1(0(0(2(0(0(1(2(1(2(0(1(2(2(1(0(2(0(2(x1))))))))))))))))))))
   0(1(2(0(0(1(2(0(2(0(0(1(0(2(0(0(2(1(2(0(x1)))))))))))))))))))) -> 0(2(1(2(0(0(0(2(0(0(2(1(2(2(0(2(2(0(0(0(x1))))))))))))))))))))
   0(1(2(0(0(2(1(1(0(2(1(0(1(1(1(0(1(1(0(0(x1)))))))))))))))))))) -> 0(0(0(2(0(1(1(2(2(0(2(0(0(2(1(0(0(2(1(1(x1))))))))))))))))))))
   0(1(2(0(1(0(2(0(2(1(2(2(1(1(1(2(0(1(2(1(x1)))))))))))))))))))) -> 0(0(2(2(2(0(0(0(1(0(0(0(0(2(1(2(1(1(2(1(x1))))))))))))))))))))
   0(1(2(0(2(0(0(2(1(1(1(2(2(0(0(0(2(0(0(0(x1)))))))))))))))))))) -> 0(1(0(0(2(1(0(1(1(0(1(2(2(0(1(2(1(0(1(0(x1))))))))))))))))))))
   0(1(2(1(0(1(2(2(1(1(0(0(1(1(2(2(1(0(1(1(x1)))))))))))))))))))) -> 0(2(2(2(0(2(0(2(0(1(2(1(2(2(2(1(0(0(1(0(x1))))))))))))))))))))
   0(1(2(2(0(1(1(1(2(1(0(0(2(0(1(2(2(0(1(2(x1)))))))))))))))))))) -> 0(2(0(0(2(0(2(2(1(0(1(1(1(0(2(0(1(2(0(0(x1))))))))))))))))))))
   0(1(2(2(2(0(0(2(0(1(2(1(0(1(0(0(2(0(0(2(x1)))))))))))))))))))) -> 0(0(0(1(2(0(2(1(2(2(0(0(0(1(0(1(0(0(1(2(x1))))))))))))))))))))
   0(1(2(2(2(2(2(2(2(1(0(2(2(1(1(2(1(2(1(1(x1)))))))))))))))))))) -> 0(2(1(0(2(1(0(1(2(0(0(0(1(2(0(0(0(0(0(1(x1))))))))))))))))))))
   0(2(0(0(0(2(1(1(0(2(2(1(1(0(0(0(0(1(0(0(x1)))))))))))))))))))) -> 0(0(2(1(0(0(0(2(2(2(2(0(0(2(0(2(1(2(1(2(x1))))))))))))))))))))
   0(2(0(0(1(0(2(1(0(2(2(0(1(0(2(1(2(1(1(2(x1)))))))))))))))))))) -> 0(2(1(0(2(1(0(2(1(2(1(0(1(2(0(1(0(0(0(0(x1))))))))))))))))))))
   0(2(0(1(1(0(1(1(1(0(1(0(0(2(1(0(2(2(2(0(x1)))))))))))))))))))) -> 0(2(2(2(0(0(2(0(0(2(0(1(2(1(2(2(1(2(1(2(x1))))))))))))))))))))
   0(2(0(1(1(1(0(1(2(2(0(2(0(2(0(2(1(2(0(1(x1)))))))))))))))))))) -> 0(2(2(0(1(2(2(2(2(1(0(2(1(2(0(0(2(2(2(1(x1))))))))))))))))))))
   0(2(0(1(2(1(1(1(1(2(0(2(1(2(0(1(2(2(0(1(x1)))))))))))))))))))) -> 0(1(1(1(1(2(1(0(0(1(1(0(2(1(0(0(2(0(0(1(x1))))))))))))))))))))
   0(2(0(2(0(2(0(2(1(1(0(2(1(1(1(1(2(0(2(0(x1)))))))))))))))))))) -> 0(1(0(2(1(2(1(1(0(0(2(2(2(0(0(1(2(2(0(0(x1))))))))))))))))))))
   0(2(0(2(0(2(1(2(2(0(1(1(1(2(1(1(0(2(0(1(x1)))))))))))))))))))) -> 0(2(0(0(1(1(1(0(2(1(1(2(0(0(0(2(2(1(1(0(x1))))))))))))))))))))
   0(2(0(2(1(0(0(1(2(0(2(0(1(0(1(1(1(2(2(1(x1)))))))))))))))))))) -> 0(0(1(0(1(0(1(1(2(1(0(0(0(1(2(2(2(0(1(0(x1))))))))))))))))))))
   0(2(0(2(1(1(2(0(0(0(2(1(2(1(2(0(0(1(2(0(x1)))))))))))))))))))) -> 0(2(2(0(1(2(0(1(0(0(0(0(2(1(0(0(0(0(1(2(x1))))))))))))))))))))
   0(2(0(2(1(2(1(2(2(0(2(1(1(1(2(1(1(1(1(1(x1)))))))))))))))))))) -> 0(1(1(1(0(2(1(0(1(2(1(0(0(0(2(1(1(2(0(1(x1))))))))))))))))))))
   0(2(1(0(1(2(2(0(0(1(2(0(2(2(2(2(2(2(1(1(x1)))))))))))))))))))) -> 0(0(0(1(2(2(0(0(0(1(2(0(0(0(2(2(0(1(0(2(x1))))))))))))))))))))
   0(2(1(1(0(2(1(1(1(1(2(2(0(1(1(1(2(2(1(1(x1)))))))))))))))))))) -> 0(0(2(0(0(1(0(2(2(1(0(1(1(0(0(2(0(2(2(1(x1))))))))))))))))))))
   0(2(1(1(1(0(0(1(2(1(2(1(1(2(0(2(1(0(1(2(x1)))))))))))))))))))) -> 0(1(0(1(0(2(0(0(0(1(1(1(2(0(0(0(1(2(2(2(x1))))))))))))))))))))
   0(2(1(1(1(0(2(1(1(0(1(0(2(2(0(0(2(0(2(1(x1)))))))))))))))))))) -> 0(1(0(1(2(2(2(1(1(0(2(2(1(2(0(0(0(0(2(1(x1))))))))))))))))))))
   0(2(1(1(1(1(0(0(0(0(2(1(2(0(0(2(1(0(2(1(x1)))))))))))))))))))) -> 0(0(0(1(0(1(1(2(0(2(0(0(2(2(2(2(1(0(2(1(x1))))))))))))))))))))
   0(2(1(1(1(2(2(0(0(0(2(1(0(1(2(2(1(0(2(0(x1)))))))))))))))))))) -> 0(1(0(1(0(0(0(1(0(2(1(1(0(0(2(1(2(0(2(1(x1))))))))))))))))))))
   0(2(1(1(2(0(2(2(2(0(1(2(0(2(0(2(2(0(0(1(x1)))))))))))))))))))) -> 0(0(2(1(2(0(0(0(2(0(1(2(2(2(1(0(1(1(1(0(x1))))))))))))))))))))
   0(2(1(1(2(1(2(2(2(0(0(1(0(2(1(1(1(2(2(0(x1)))))))))))))))))))) -> 0(0(0(2(1(0(1(2(1(2(1(1(1(2(0(0(0(1(1(0(x1))))))))))))))))))))
   0(2(1(2(0(1(1(1(2(0(1(1(2(1(2(0(2(0(2(0(x1)))))))))))))))))))) -> 0(1(2(1(1(0(1(1(2(1(2(0(1(0(1(2(2(0(2(2(x1))))))))))))))))))))
   0(2(1(2(0(1(1(2(2(0(1(1(0(1(2(1(0(0(0(1(x1)))))))))))))))))))) -> 0(0(1(0(0(2(0(2(0(1(2(1(0(0(0(1(0(0(2(1(x1))))))))))))))))))))
   0(2(2(0(0(2(1(0(2(0(2(0(2(0(1(1(2(2(1(0(x1)))))))))))))))))))) -> 0(2(0(0(0(0(0(0(1(2(0(1(2(2(0(1(0(1(0(1(x1))))))))))))))))))))
   0(2(2(0(1(2(2(0(1(1(2(1(1(2(2(2(1(0(1(2(x1)))))))))))))))))))) -> 0(2(1(0(0(0(2(0(1(1(1(0(1(0(2(2(1(1(2(2(x1))))))))))))))))))))
   0(2(2(0(2(0(1(1(2(2(2(0(2(2(0(2(0(1(2(0(x1)))))))))))))))))))) -> 0(1(1(0(0(0(2(0(0(1(1(1(0(1(1(0(0(0(0(2(x1))))))))))))))))))))
   0(2(2(1(0(0(1(1(2(0(2(2(0(1(1(2(2(1(0(0(x1)))))))))))))))))))) -> 0(2(1(0(2(2(0(0(0(0(0(1(2(1(0(1(1(2(1(1(x1))))))))))))))))))))
   0(2(2(1(1(1(1(0(0(1(0(1(0(2(2(1(1(2(2(1(x1)))))))))))))))))))) -> 0(2(2(2(0(2(2(1(1(2(2(2(2(0(2(0(0(2(0(2(x1))))))))))))))))))))
   0(2(2(1(1(2(0(1(0(1(0(2(0(1(0(1(0(2(1(1(x1)))))))))))))))))))) -> 0(1(1(0(0(1(1(0(0(2(2(1(1(2(2(0(0(0(2(0(x1))))))))))))))))))))
   0(2(2(1(1(2(2(1(0(2(1(2(1(1(2(2(2(0(2(0(x1)))))))))))))))))))) -> 0(2(1(2(2(2(1(0(0(1(0(0(0(1(2(1(1(2(2(1(x1))))))))))))))))))))
   0(2(2(1(2(0(1(1(0(0(1(1(2(0(1(1(0(2(2(2(x1)))))))))))))))))))) -> 0(2(2(2(0(2(0(0(2(2(0(0(2(1(1(0(0(2(1(1(x1))))))))))))))))))))
   0(2(2(2(2(1(0(0(0(2(2(1(0(1(1(1(0(1(2(2(x1)))))))))))))))))))) -> 0(0(2(2(0(2(0(2(0(1(1(2(0(0(0(0(2(1(1(2(x1))))))))))))))))))))
   1(2(2(0(2(0(2(1(2(1(2(1(0(0(1(0(0(2(0(1(x1)))))))))))))))))))) -> 1(0(1(2(0(1(0(0(1(0(0(0(2(1(0(0(1(0(0(2(x1))))))))))))))))))))

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

   encArg(2(x_1)) -> 2(encArg(x_1))
   encArg(cons_0(x_1)) -> 0(encArg(x_1))
   encArg(cons_1(x_1)) -> 1(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(0(1(2(0(2(0(1(2(2(1(1(1(1(1(0(2(2(x1)))))))))))))))))))) -> 0(2(0(0(1(0(1(0(0(2(0(0(2(0(2(1(1(0(1(2(x1))))))))))))))))))))
   0(0(0(1(0(2(0(2(1(2(0(1(1(2(1(1(2(2(1(1(x1)))))))))))))))))))) -> 0(1(2(0(2(2(1(1(1(0(1(0(2(1(2(1(2(1(2(1(x1))))))))))))))))))))
   0(0(0(1(2(0(2(2(1(1(0(1(0(1(2(0(1(1(1(1(x1)))))))))))))))))))) -> 0(1(2(0(1(2(1(0(1(0(1(0(2(0(1(1(1(1(0(2(x1))))))))))))))))))))
   0(0(0(2(0(0(0(2(1(2(2(1(1(0(0(0(1(1(1(2(x1)))))))))))))))))))) -> 0(2(2(1(0(1(0(2(2(2(1(1(2(0(0(0(0(0(1(2(x1))))))))))))))))))))
   0(0(0(2(1(2(2(0(1(1(0(0(1(1(2(1(0(2(2(1(x1)))))))))))))))))))) -> 0(2(0(1(1(2(0(1(2(1(2(1(0(2(2(0(2(0(1(0(x1))))))))))))))))))))
   0(0(0(2(2(1(1(2(2(0(0(2(1(2(0(1(1(0(2(2(x1)))))))))))))))))))) -> 0(2(2(2(1(0(0(2(1(2(1(2(1(2(1(1(1(2(0(2(x1))))))))))))))))))))
   0(0(1(0(0(1(1(2(1(1(2(2(1(1(2(2(1(1(0(2(x1)))))))))))))))))))) -> 0(1(1(0(0(2(0(0(2(0(2(1(1(1(1(1(0(2(0(2(x1))))))))))))))))))))
   0(0(1(0(1(0(2(0(0(1(2(1(1(2(2(2(1(0(2(1(x1)))))))))))))))))))) -> 0(2(1(0(1(0(0(0(2(0(0(1(2(0(2(1(0(0(2(0(x1))))))))))))))))))))
   0(0(1(0(1(2(2(2(1(1(2(1(2(1(0(2(0(1(2(0(x1)))))))))))))))))))) -> 0(2(0(1(1(2(2(2(1(0(0(2(1(0(0(0(0(2(0(2(x1))))))))))))))))))))
   0(0(1(0(2(0(2(1(1(1(0(0(0(2(2(1(2(1(1(2(x1)))))))))))))))))))) -> 0(2(0(0(2(2(0(2(1(1(2(1(2(1(0(2(2(0(2(0(x1))))))))))))))))))))
   0(0(1(0(2(1(2(2(2(2(0(1(2(0(1(1(2(2(0(2(x1)))))))))))))))))))) -> 0(0(2(1(1(0(0(2(2(2(0(1(2(2(0(1(2(2(0(2(x1))))))))))))))))))))
   0(0(1(0(2(2(1(2(0(0(1(1(2(2(2(1(1(2(1(1(x1)))))))))))))))))))) -> 0(2(0(2(2(0(0(1(2(0(2(0(0(1(1(0(0(2(1(1(x1))))))))))))))))))))
   0(0(1(0(2(2(2(2(1(0(2(1(0(2(2(0(1(1(2(1(x1)))))))))))))))))))) -> 0(0(1(0(0(0(0(2(2(2(2(0(0(0(1(0(0(2(1(1(x1))))))))))))))))))))
   0(0(1(1(0(2(2(1(1(1(1(1(2(0(2(1(0(2(2(1(x1)))))))))))))))))))) -> 0(2(0(1(1(0(1(2(2(2(0(0(2(2(2(0(2(0(0(0(x1))))))))))))))))))))
   0(0(1(1(1(1(0(2(2(2(2(1(1(2(2(2(1(1(2(1(x1)))))))))))))))))))) -> 0(1(0(0(1(1(2(2(0(2(2(0(2(0(0(0(2(2(1(1(x1))))))))))))))))))))
   0(0(1(2(0(1(2(0(1(1(1(0(2(2(1(0(2(1(1(2(x1)))))))))))))))))))) -> 0(1(2(2(0(2(2(2(1(0(1(2(2(1(0(0(1(1(1(2(x1))))))))))))))))))))
   0(0(1(2(2(0(1(1(2(0(0(2(2(1(0(2(1(2(1(0(x1)))))))))))))))))))) -> 0(2(2(0(2(0(2(1(0(2(0(0(2(2(1(0(0(0(2(0(x1))))))))))))))))))))
   0(0(1(2(2(1(0(1(1(1(0(0(1(2(1(2(2(2(0(2(x1)))))))))))))))))))) -> 0(1(1(2(2(0(0(2(0(2(2(0(0(1(0(0(0(0(0(0(x1))))))))))))))))))))
   0(0(1(2(2(1(1(0(2(2(2(0(1(1(1(1(0(1(2(1(x1)))))))))))))))))))) -> 0(1(2(2(0(1(1(1(2(0(2(0(0(1(2(0(2(1(2(0(x1))))))))))))))))))))
   0(0(2(0(0(0(2(1(2(2(2(1(1(1(0(2(1(1(0(0(x1)))))))))))))))))))) -> 0(2(0(1(2(0(1(2(0(1(0(1(2(2(1(2(1(0(0(0(x1))))))))))))))))))))
   0(0(2(0(1(1(2(0(2(1(0(2(2(1(1(0(1(2(0(1(x1)))))))))))))))))))) -> 0(1(2(0(2(0(1(0(1(2(1(0(0(2(2(1(0(1(0(1(x1))))))))))))))))))))
   0(0(2(0(1(2(2(0(0(1(2(2(0(0(2(2(1(1(0(1(x1)))))))))))))))))))) -> 0(0(1(2(0(0(1(1(0(2(0(2(0(0(0(0(0(2(0(1(x1))))))))))))))))))))
   0(0(2(0(2(1(1(2(1(1(1(1(1(0(1(1(1(2(2(1(x1)))))))))))))))))))) -> 0(2(0(0(2(1(1(2(2(0(2(0(1(2(2(2(1(1(1(2(x1))))))))))))))))))))
   0(0(2(1(0(1(0(0(2(0(1(1(0(2(0(2(2(2(2(0(x1)))))))))))))))))))) -> 0(2(2(0(0(0(2(1(0(0(0(1(1(2(0(1(1(0(0(0(x1))))))))))))))))))))
   0(0(2(1(1(0(2(2(1(1(1(1(2(2(0(0(2(1(0(0(x1)))))))))))))))))))) -> 0(2(2(1(1(1(2(1(0(1(2(1(2(1(1(2(1(0(0(0(x1))))))))))))))))))))
   0(0(2(2(0(0(1(0(2(2(1(1(2(2(1(0(2(2(0(1(x1)))))))))))))))))))) -> 0(2(0(2(2(1(0(0(2(2(1(2(1(1(0(0(2(0(2(1(x1))))))))))))))))))))
   0(0(2(2(0(1(0(2(1(2(1(1(2(2(2(1(1(2(0(2(x1)))))))))))))))))))) -> 0(0(1(2(1(2(1(2(1(2(0(1(2(1(0(0(0(1(2(0(x1))))))))))))))))))))
   0(0(2(2(1(1(1(0(1(0(1(0(1(2(2(2(1(2(0(0(x1)))))))))))))))))))) -> 0(1(0(2(0(2(2(1(0(1(0(2(1(2(1(0(1(1(1(2(x1))))))))))))))))))))
   0(0(2(2(1(2(0(1(2(2(0(1(0(0(0(2(2(0(0(0(x1)))))))))))))))))))) -> 0(0(0(0(2(0(0(0(2(2(2(0(2(0(1(0(1(0(0(0(x1))))))))))))))))))))
   0(0(2(2(2(0(1(0(1(1(1(0(1(0(0(0(1(1(2(0(x1)))))))))))))))))))) -> 0(2(0(2(2(2(2(0(2(2(1(0(0(0(0(0(0(2(0(0(x1))))))))))))))))))))
   0(1(0(0(1(0(2(1(2(2(1(2(2(1(1(1(1(2(2(1(x1)))))))))))))))))))) -> 0(0(1(1(1(0(1(0(0(0(2(2(1(1(2(0(0(2(1(2(x1))))))))))))))))))))
   0(1(0(0(1(1(1(0(1(1(2(1(1(1(2(2(1(2(2(1(x1)))))))))))))))))))) -> 0(0(1(1(1(2(1(0(2(0(0(0(1(2(2(0(0(1(1(1(x1))))))))))))))))))))
   0(1(0(0(2(2(0(1(2(2(1(2(1(0(1(2(2(2(1(0(x1)))))))))))))))))))) -> 0(0(2(2(0(2(2(2(1(0(2(1(2(0(2(2(0(0(2(2(x1))))))))))))))))))))
   0(1(0(0(2(2(0(2(2(1(2(1(2(1(1(0(0(2(2(2(x1)))))))))))))))))))) -> 0(2(0(1(2(1(0(1(0(0(0(0(0(0(2(0(1(0(2(1(x1))))))))))))))))))))
   0(1(0(1(0(1(1(0(0(0(1(0(2(1(1(2(0(1(0(1(x1)))))))))))))))))))) -> 0(0(2(1(1(0(0(2(0(2(1(0(1(1(0(2(2(0(1(2(x1))))))))))))))))))))
   0(1(0(1(1(1(1(2(0(2(2(2(2(2(2(1(0(2(0(1(x1)))))))))))))))))))) -> 0(0(0(2(2(1(0(0(1(2(1(0(2(2(1(0(0(2(2(1(x1))))))))))))))))))))
   0(1(0(1(1(2(1(0(0(0(2(2(2(1(2(1(2(1(0(2(x1)))))))))))))))))))) -> 0(1(0(0(2(2(1(2(1(0(1(0(0(0(2(0(0(2(1(2(x1))))))))))))))))))))
   0(1(0(1(1(2(2(0(0(0(2(2(2(1(1(0(1(1(1(1(x1)))))))))))))))))))) -> 0(0(2(2(2(2(2(2(1(1(0(1(2(2(0(1(2(0(2(1(x1))))))))))))))))))))
   0(1(0(1(1(2(2(1(0(1(2(1(1(0(1(2(0(2(0(2(x1)))))))))))))))))))) -> 0(2(0(1(0(1(1(0(0(1(0(2(0(0(0(2(2(0(2(0(x1))))))))))))))))))))
   0(1(0(1(2(1(1(1(0(0(1(1(2(2(2(0(2(0(1(2(x1)))))))))))))))))))) -> 0(2(1(1(2(1(0(2(0(1(1(0(2(0(1(0(2(2(0(2(x1))))))))))))))))))))
   0(1(0(1(2(1(1(1(2(2(0(2(1(1(2(1(2(0(2(1(x1)))))))))))))))))))) -> 0(2(1(2(0(0(2(1(2(2(1(2(1(2(0(2(0(0(2(1(x1))))))))))))))))))))
   0(1(0(2(0(0(1(2(2(2(1(2(2(2(0(0(0(1(2(2(x1)))))))))))))))))))) -> 0(1(0(1(1(2(1(0(0(1(0(0(2(2(2(1(0(2(0(0(x1))))))))))))))))))))
   0(1(0(2(0(2(1(1(1(0(1(2(2(0(2(0(1(1(2(0(x1)))))))))))))))))))) -> 0(0(1(2(0(0(0(0(0(0(1(1(0(2(0(2(1(2(1(0(x1))))))))))))))))))))
   0(1(0(2(1(1(1(0(2(2(1(1(1(1(2(0(2(1(0(0(x1)))))))))))))))))))) -> 0(2(1(0(2(0(0(1(2(2(0(0(0(1(1(1(1(0(2(2(x1))))))))))))))))))))
   0(1(0(2(2(1(1(0(1(0(2(2(1(0(2(0(1(0(1(1(x1)))))))))))))))))))) -> 0(1(2(0(0(2(2(0(0(0(0(2(1(2(1(0(1(2(0(2(x1))))))))))))))))))))
   0(1(0(2(2(2(1(2(1(1(1(2(1(0(2(1(1(1(0(1(x1)))))))))))))))))))) -> 0(0(1(2(2(2(1(0(0(1(1(2(1(1(2(0(0(1(2(0(x1))))))))))))))))))))
   0(1(1(0(0(2(0(2(1(1(1(2(1(2(1(0(0(1(1(1(x1)))))))))))))))))))) -> 0(1(0(0(2(2(0(0(2(2(0(2(0(0(1(2(1(0(1(2(x1))))))))))))))))))))
   0(1(1(0(1(0(2(1(1(2(2(0(2(0(2(0(2(2(0(1(x1)))))))))))))))))))) -> 0(2(0(2(1(0(0(1(2(2(1(2(2(1(2(2(1(2(2(0(x1))))))))))))))))))))
   0(1(1(0(1(1(1(1(2(0(2(0(2(2(2(0(0(0(2(1(x1)))))))))))))))))))) -> 0(1(0(1(2(2(2(0(2(2(1(1(2(2(2(0(0(0(1(0(x1))))))))))))))))))))
   0(1(1(0(1(2(1(2(0(2(2(1(0(0(2(0(1(0(1(1(x1)))))))))))))))))))) -> 0(0(0(1(2(0(2(2(2(0(1(0(1(2(1(1(1(0(2(0(x1))))))))))))))))))))
   0(1(1(0(2(0(2(1(2(1(2(2(0(2(1(2(2(1(1(0(x1)))))))))))))))))))) -> 0(2(0(1(1(1(0(1(0(1(2(0(2(2(1(0(2(0(0(2(x1))))))))))))))))))))
   0(1(1(0(2(1(1(0(0(1(1(1(2(2(2(0(2(0(0(2(x1)))))))))))))))))))) -> 0(1(2(1(0(2(1(0(1(2(2(2(0(0(2(0(2(2(1(2(x1))))))))))))))))))))
   0(1(1(0(2(1(2(1(1(0(1(1(2(1(0(1(0(1(1(1(x1)))))))))))))))))))) -> 0(1(1(1(2(1(2(2(0(1(1(0(2(2(0(0(2(1(0(2(x1))))))))))))))))))))
   0(1(1(0(2(2(0(1(2(2(2(0(2(2(1(2(1(2(1(0(x1)))))))))))))))))))) -> 0(0(2(0(0(2(0(2(1(0(2(2(2(0(0(0(2(1(1(2(x1))))))))))))))))))))
   0(1(1(1(1(1(1(2(2(0(2(0(2(2(0(2(1(0(1(0(x1)))))))))))))))))))) -> 0(2(0(1(1(0(2(0(0(1(1(2(0(1(0(0(1(0(2(0(x1))))))))))))))))))))
   0(1(1(1(1(2(0(0(0(2(2(2(2(1(0(2(2(2(0(1(x1)))))))))))))))))))) -> 0(2(0(0(0(1(2(0(1(2(2(2(1(2(1(1(1(2(1(2(x1))))))))))))))))))))
   0(1(1(1(2(2(1(2(1(1(1(0(0(1(1(1(2(1(1(0(x1)))))))))))))))))))) -> 0(0(1(0(2(0(1(1(1(2(0(2(1(2(2(0(2(1(2(1(x1))))))))))))))))))))
   0(1(1(2(0(1(0(0(1(2(0(2(1(0(0(0(0(2(0(1(x1)))))))))))))))))))) -> 0(0(2(1(2(2(2(1(2(1(0(0(0(2(2(1(0(1(2(0(x1))))))))))))))))))))
   0(1(1(2(0(2(0(2(2(1(1(2(0(1(2(2(0(1(0(0(x1)))))))))))))))))))) -> 0(1(2(0(0(0(2(1(2(0(1(2(2(2(2(0(1(1(0(1(x1))))))))))))))))))))
   0(1(1(2(1(1(1(1(0(0(0(0(1(1(0(1(0(1(1(0(x1)))))))))))))))))))) -> 0(0(0(1(0(1(0(1(1(1(2(0(1(2(2(0(2(2(0(2(x1))))))))))))))))))))
   0(1(1(2(2(2(2(1(0(2(0(0(1(2(2(1(2(2(2(2(x1)))))))))))))))))))) -> 0(1(0(0(2(0(0(1(2(1(2(0(1(2(2(1(0(2(0(2(x1))))))))))))))))))))
   0(1(2(0(0(1(2(0(2(0(0(1(0(2(0(0(2(1(2(0(x1)))))))))))))))))))) -> 0(2(1(2(0(0(0(2(0(0(2(1(2(2(0(2(2(0(0(0(x1))))))))))))))))))))
   0(1(2(0(0(2(1(1(0(2(1(0(1(1(1(0(1(1(0(0(x1)))))))))))))))))))) -> 0(0(0(2(0(1(1(2(2(0(2(0(0(2(1(0(0(2(1(1(x1))))))))))))))))))))
   0(1(2(0(1(0(2(0(2(1(2(2(1(1(1(2(0(1(2(1(x1)))))))))))))))))))) -> 0(0(2(2(2(0(0(0(1(0(0(0(0(2(1(2(1(1(2(1(x1))))))))))))))))))))
   0(1(2(0(2(0(0(2(1(1(1(2(2(0(0(0(2(0(0(0(x1)))))))))))))))))))) -> 0(1(0(0(2(1(0(1(1(0(1(2(2(0(1(2(1(0(1(0(x1))))))))))))))))))))
   0(1(2(1(0(1(2(2(1(1(0(0(1(1(2(2(1(0(1(1(x1)))))))))))))))))))) -> 0(2(2(2(0(2(0(2(0(1(2(1(2(2(2(1(0(0(1(0(x1))))))))))))))))))))
   0(1(2(2(0(1(1(1(2(1(0(0(2(0(1(2(2(0(1(2(x1)))))))))))))))))))) -> 0(2(0(0(2(0(2(2(1(0(1(1(1(0(2(0(1(2(0(0(x1))))))))))))))))))))
   0(1(2(2(2(0(0(2(0(1(2(1(0(1(0(0(2(0(0(2(x1)))))))))))))))))))) -> 0(0(0(1(2(0(2(1(2(2(0(0(0(1(0(1(0(0(1(2(x1))))))))))))))))))))
   0(1(2(2(2(2(2(2(2(1(0(2(2(1(1(2(1(2(1(1(x1)))))))))))))))))))) -> 0(2(1(0(2(1(0(1(2(0(0(0(1(2(0(0(0(0(0(1(x1))))))))))))))))))))
   0(2(0(0(0(2(1(1(0(2(2(1(1(0(0(0(0(1(0(0(x1)))))))))))))))))))) -> 0(0(2(1(0(0(0(2(2(2(2(0(0(2(0(2(1(2(1(2(x1))))))))))))))))))))
   0(2(0(0(1(0(2(1(0(2(2(0(1(0(2(1(2(1(1(2(x1)))))))))))))))))))) -> 0(2(1(0(2(1(0(2(1(2(1(0(1(2(0(1(0(0(0(0(x1))))))))))))))))))))
   0(2(0(1(1(0(1(1(1(0(1(0(0(2(1(0(2(2(2(0(x1)))))))))))))))))))) -> 0(2(2(2(0(0(2(0(0(2(0(1(2(1(2(2(1(2(1(2(x1))))))))))))))))))))
   0(2(0(1(1(1(0(1(2(2(0(2(0(2(0(2(1(2(0(1(x1)))))))))))))))))))) -> 0(2(2(0(1(2(2(2(2(1(0(2(1(2(0(0(2(2(2(1(x1))))))))))))))))))))
   0(2(0(1(2(1(1(1(1(2(0(2(1(2(0(1(2(2(0(1(x1)))))))))))))))))))) -> 0(1(1(1(1(2(1(0(0(1(1(0(2(1(0(0(2(0(0(1(x1))))))))))))))))))))
   0(2(0(2(0(2(0(2(1(1(0(2(1(1(1(1(2(0(2(0(x1)))))))))))))))))))) -> 0(1(0(2(1(2(1(1(0(0(2(2(2(0(0(1(2(2(0(0(x1))))))))))))))))))))
   0(2(0(2(0(2(1(2(2(0(1(1(1(2(1(1(0(2(0(1(x1)))))))))))))))))))) -> 0(2(0(0(1(1(1(0(2(1(1(2(0(0(0(2(2(1(1(0(x1))))))))))))))))))))
   0(2(0(2(1(0(0(1(2(0(2(0(1(0(1(1(1(2(2(1(x1)))))))))))))))))))) -> 0(0(1(0(1(0(1(1(2(1(0(0(0(1(2(2(2(0(1(0(x1))))))))))))))))))))
   0(2(0(2(1(1(2(0(0(0(2(1(2(1(2(0(0(1(2(0(x1)))))))))))))))))))) -> 0(2(2(0(1(2(0(1(0(0(0(0(2(1(0(0(0(0(1(2(x1))))))))))))))))))))
   0(2(0(2(1(2(1(2(2(0(2(1(1(1(2(1(1(1(1(1(x1)))))))))))))))))))) -> 0(1(1(1(0(2(1(0(1(2(1(0(0(0(2(1(1(2(0(1(x1))))))))))))))))))))
   0(2(1(0(1(2(2(0(0(1(2(0(2(2(2(2(2(2(1(1(x1)))))))))))))))))))) -> 0(0(0(1(2(2(0(0(0(1(2(0(0(0(2(2(0(1(0(2(x1))))))))))))))))))))
   0(2(1(1(0(2(1(1(1(1(2(2(0(1(1(1(2(2(1(1(x1)))))))))))))))))))) -> 0(0(2(0(0(1(0(2(2(1(0(1(1(0(0(2(0(2(2(1(x1))))))))))))))))))))
   0(2(1(1(1(0(0(1(2(1(2(1(1(2(0(2(1(0(1(2(x1)))))))))))))))))))) -> 0(1(0(1(0(2(0(0(0(1(1(1(2(0(0(0(1(2(2(2(x1))))))))))))))))))))
   0(2(1(1(1(0(2(1(1(0(1(0(2(2(0(0(2(0(2(1(x1)))))))))))))))))))) -> 0(1(0(1(2(2(2(1(1(0(2(2(1(2(0(0(0(0(2(1(x1))))))))))))))))))))
   0(2(1(1(1(1(0(0(0(0(2(1(2(0(0(2(1(0(2(1(x1)))))))))))))))))))) -> 0(0(0(1(0(1(1(2(0(2(0(0(2(2(2(2(1(0(2(1(x1))))))))))))))))))))
   0(2(1(1(1(2(2(0(0(0(2(1(0(1(2(2(1(0(2(0(x1)))))))))))))))))))) -> 0(1(0(1(0(0(0(1(0(2(1(1(0(0(2(1(2(0(2(1(x1))))))))))))))))))))
   0(2(1(1(2(0(2(2(2(0(1(2(0(2(0(2(2(0(0(1(x1)))))))))))))))))))) -> 0(0(2(1(2(0(0(0(2(0(1(2(2(2(1(0(1(1(1(0(x1))))))))))))))))))))
   0(2(1(1(2(1(2(2(2(0(0(1(0(2(1(1(1(2(2(0(x1)))))))))))))))))))) -> 0(0(0(2(1(0(1(2(1(2(1(1(1(2(0(0(0(1(1(0(x1))))))))))))))))))))
   0(2(1(2(0(1(1(1(2(0(1(1(2(1(2(0(2(0(2(0(x1)))))))))))))))))))) -> 0(1(2(1(1(0(1(1(2(1(2(0(1(0(1(2(2(0(2(2(x1))))))))))))))))))))
   0(2(1(2(0(1(1(2(2(0(1(1(0(1(2(1(0(0(0(1(x1)))))))))))))))))))) -> 0(0(1(0(0(2(0(2(0(1(2(1(0(0(0(1(0(0(2(1(x1))))))))))))))))))))
   0(2(2(0(0(2(1(0(2(0(2(0(2(0(1(1(2(2(1(0(x1)))))))))))))))))))) -> 0(2(0(0(0(0(0(0(1(2(0(1(2(2(0(1(0(1(0(1(x1))))))))))))))))))))
   0(2(2(0(1(2(2(0(1(1(2(1(1(2(2(2(1(0(1(2(x1)))))))))))))))))))) -> 0(2(1(0(0(0(2(0(1(1(1(0(1(0(2(2(1(1(2(2(x1))))))))))))))))))))
   0(2(2(0(2(0(1(1(2(2(2(0(2(2(0(2(0(1(2(0(x1)))))))))))))))))))) -> 0(1(1(0(0(0(2(0(0(1(1(1(0(1(1(0(0(0(0(2(x1))))))))))))))))))))
   0(2(2(1(0(0(1(1(2(0(2(2(0(1(1(2(2(1(0(0(x1)))))))))))))))))))) -> 0(2(1(0(2(2(0(0(0(0(0(1(2(1(0(1(1(2(1(1(x1))))))))))))))))))))
   0(2(2(1(1(1(1(0(0(1(0(1(0(2(2(1(1(2(2(1(x1)))))))))))))))))))) -> 0(2(2(2(0(2(2(1(1(2(2(2(2(0(2(0(0(2(0(2(x1))))))))))))))))))))
   0(2(2(1(1(2(0(1(0(1(0(2(0(1(0(1(0(2(1(1(x1)))))))))))))))))))) -> 0(1(1(0(0(1(1(0(0(2(2(1(1(2(2(0(0(0(2(0(x1))))))))))))))))))))
   0(2(2(1(1(2(2(1(0(2(1(2(1(1(2(2(2(0(2(0(x1)))))))))))))))))))) -> 0(2(1(2(2(2(1(0(0(1(0(0(0(1(2(1(1(2(2(1(x1))))))))))))))))))))
   0(2(2(1(2(0(1(1(0(0(1(1(2(0(1(1(0(2(2(2(x1)))))))))))))))))))) -> 0(2(2(2(0(2(0(0(2(2(0(0(2(1(1(0(0(2(1(1(x1))))))))))))))))))))
   0(2(2(2(2(1(0(0(0(2(2(1(0(1(1(1(0(1(2(2(x1)))))))))))))))))))) -> 0(0(2(2(0(2(0(2(0(1(1(2(0(0(0(0(2(1(1(2(x1))))))))))))))))))))
   1(2(2(0(2(0(2(1(2(1(2(1(0(0(1(0(0(2(0(1(x1)))))))))))))))))))) -> 1(0(1(2(0(1(0(0(1(0(0(0(2(1(0(0(1(0(0(2(x1))))))))))))))))))))

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

   encArg(2(x_1)) -> 2(encArg(x_1))
   encArg(cons_0(x_1)) -> 0(encArg(x_1))
   encArg(cons_1(x_1)) -> 1(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(0(1(2(0(2(0(1(2(2(1(1(1(1(1(0(2(2(x1)))))))))))))))))))) -> 0(2(0(0(1(0(1(0(0(2(0(0(2(0(2(1(1(0(1(2(x1))))))))))))))))))))
   0(0(0(1(0(2(0(2(1(2(0(1(1(2(1(1(2(2(1(1(x1)))))))))))))))))))) -> 0(1(2(0(2(2(1(1(1(0(1(0(2(1(2(1(2(1(2(1(x1))))))))))))))))))))
   0(0(0(1(2(0(2(2(1(1(0(1(0(1(2(0(1(1(1(1(x1)))))))))))))))))))) -> 0(1(2(0(1(2(1(0(1(0(1(0(2(0(1(1(1(1(0(2(x1))))))))))))))))))))
   0(0(0(2(0(0(0(2(1(2(2(1(1(0(0(0(1(1(1(2(x1)))))))))))))))))))) -> 0(2(2(1(0(1(0(2(2(2(1(1(2(0(0(0(0(0(1(2(x1))))))))))))))))))))
   0(0(0(2(1(2(2(0(1(1(0(0(1(1(2(1(0(2(2(1(x1)))))))))))))))))))) -> 0(2(0(1(1(2(0(1(2(1(2(1(0(2(2(0(2(0(1(0(x1))))))))))))))))))))
   0(0(0(2(2(1(1(2(2(0(0(2(1(2(0(1(1(0(2(2(x1)))))))))))))))))))) -> 0(2(2(2(1(0(0(2(1(2(1(2(1(2(1(1(1(2(0(2(x1))))))))))))))))))))
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   0(2(2(0(0(2(1(0(2(0(2(0(2(0(1(1(2(2(1(0(x1)))))))))))))))))))) -> 0(2(0(0(0(0(0(0(1(2(0(1(2(2(0(1(0(1(0(1(x1))))))))))))))))))))
   0(2(2(0(1(2(2(0(1(1(2(1(1(2(2(2(1(0(1(2(x1)))))))))))))))))))) -> 0(2(1(0(0(0(2(0(1(1(1(0(1(0(2(2(1(1(2(2(x1))))))))))))))))))))
   0(2(2(0(2(0(1(1(2(2(2(0(2(2(0(2(0(1(2(0(x1)))))))))))))))))))) -> 0(1(1(0(0(0(2(0(0(1(1(1(0(1(1(0(0(0(0(2(x1))))))))))))))))))))
   0(2(2(1(0(0(1(1(2(0(2(2(0(1(1(2(2(1(0(0(x1)))))))))))))))))))) -> 0(2(1(0(2(2(0(0(0(0(0(1(2(1(0(1(1(2(1(1(x1))))))))))))))))))))
   0(2(2(1(1(1(1(0(0(1(0(1(0(2(2(1(1(2(2(1(x1)))))))))))))))))))) -> 0(2(2(2(0(2(2(1(1(2(2(2(2(0(2(0(0(2(0(2(x1))))))))))))))))))))
   0(2(2(1(1(2(0(1(0(1(0(2(0(1(0(1(0(2(1(1(x1)))))))))))))))))))) -> 0(1(1(0(0(1(1(0(0(2(2(1(1(2(2(0(0(0(2(0(x1))))))))))))))))))))
   0(2(2(1(1(2(2(1(0(2(1(2(1(1(2(2(2(0(2(0(x1)))))))))))))))))))) -> 0(2(1(2(2(2(1(0(0(1(0(0(0(1(2(1(1(2(2(1(x1))))))))))))))))))))
   0(2(2(1(2(0(1(1(0(0(1(1(2(0(1(1(0(2(2(2(x1)))))))))))))))))))) -> 0(2(2(2(0(2(0(0(2(2(0(0(2(1(1(0(0(2(1(1(x1))))))))))))))))))))
   0(2(2(2(2(1(0(0(0(2(2(1(0(1(1(1(0(1(2(2(x1)))))))))))))))))))) -> 0(0(2(2(0(2(0(2(0(1(1(2(0(0(0(0(2(1(1(2(x1))))))))))))))))))))
   1(2(2(0(2(0(2(1(2(1(2(1(0(0(1(0(0(2(0(1(x1)))))))))))))))))))) -> 1(0(1(2(0(1(0(0(1(0(0(0(2(1(0(0(1(0(0(2(x1))))))))))))))))))))

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

   encArg(2(x_1)) -> 2(encArg(x_1))
   encArg(cons_0(x_1)) -> 0(encArg(x_1))
   encArg(cons_1(x_1)) -> 1(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(0(1(2(0(2(0(1(2(2(1(1(1(1(1(0(2(2(x1)))))))))))))))))))) -> 0(2(0(0(1(0(1(0(0(2(0(0(2(0(2(1(1(0(1(2(x1))))))))))))))))))))
   0(0(0(1(0(2(0(2(1(2(0(1(1(2(1(1(2(2(1(1(x1)))))))))))))))))))) -> 0(1(2(0(2(2(1(1(1(0(1(0(2(1(2(1(2(1(2(1(x1))))))))))))))))))))
   0(0(0(1(2(0(2(2(1(1(0(1(0(1(2(0(1(1(1(1(x1)))))))))))))))))))) -> 0(1(2(0(1(2(1(0(1(0(1(0(2(0(1(1(1(1(0(2(x1))))))))))))))))))))
   0(0(0(2(0(0(0(2(1(2(2(1(1(0(0(0(1(1(1(2(x1)))))))))))))))))))) -> 0(2(2(1(0(1(0(2(2(2(1(1(2(0(0(0(0(0(1(2(x1))))))))))))))))))))
   0(0(0(2(1(2(2(0(1(1(0(0(1(1(2(1(0(2(2(1(x1)))))))))))))))))))) -> 0(2(0(1(1(2(0(1(2(1(2(1(0(2(2(0(2(0(1(0(x1))))))))))))))))))))
   0(0(0(2(2(1(1(2(2(0(0(2(1(2(0(1(1(0(2(2(x1)))))))))))))))))))) -> 0(2(2(2(1(0(0(2(1(2(1(2(1(2(1(1(1(2(0(2(x1))))))))))))))))))))
   0(0(1(0(0(1(1(2(1(1(2(2(1(1(2(2(1(1(0(2(x1)))))))))))))))))))) -> 0(1(1(0(0(2(0(0(2(0(2(1(1(1(1(1(0(2(0(2(x1))))))))))))))))))))
   0(0(1(0(1(0(2(0(0(1(2(1(1(2(2(2(1(0(2(1(x1)))))))))))))))))))) -> 0(2(1(0(1(0(0(0(2(0(0(1(2(0(2(1(0(0(2(0(x1))))))))))))))))))))
   0(0(1(0(1(2(2(2(1(1(2(1(2(1(0(2(0(1(2(0(x1)))))))))))))))))))) -> 0(2(0(1(1(2(2(2(1(0(0(2(1(0(0(0(0(2(0(2(x1))))))))))))))))))))
   0(0(1(0(2(0(2(1(1(1(0(0(0(2(2(1(2(1(1(2(x1)))))))))))))))))))) -> 0(2(0(0(2(2(0(2(1(1(2(1(2(1(0(2(2(0(2(0(x1))))))))))))))))))))
   0(0(1(0(2(1(2(2(2(2(0(1(2(0(1(1(2(2(0(2(x1)))))))))))))))))))) -> 0(0(2(1(1(0(0(2(2(2(0(1(2(2(0(1(2(2(0(2(x1))))))))))))))))))))
   0(0(1(0(2(2(1(2(0(0(1(1(2(2(2(1(1(2(1(1(x1)))))))))))))))))))) -> 0(2(0(2(2(0(0(1(2(0(2(0(0(1(1(0(0(2(1(1(x1))))))))))))))))))))
   0(0(1(0(2(2(2(2(1(0(2(1(0(2(2(0(1(1(2(1(x1)))))))))))))))))))) -> 0(0(1(0(0(0(0(2(2(2(2(0(0(0(1(0(0(2(1(1(x1))))))))))))))))))))
   0(0(1(1(0(2(2(1(1(1(1(1(2(0(2(1(0(2(2(1(x1)))))))))))))))))))) -> 0(2(0(1(1(0(1(2(2(2(0(0(2(2(2(0(2(0(0(0(x1))))))))))))))))))))
   0(0(1(1(1(1(0(2(2(2(2(1(1(2(2(2(1(1(2(1(x1)))))))))))))))))))) -> 0(1(0(0(1(1(2(2(0(2(2(0(2(0(0(0(2(2(1(1(x1))))))))))))))))))))
   0(0(1(2(0(1(2(0(1(1(1(0(2(2(1(0(2(1(1(2(x1)))))))))))))))))))) -> 0(1(2(2(0(2(2(2(1(0(1(2(2(1(0(0(1(1(1(2(x1))))))))))))))))))))
   0(0(1(2(2(0(1(1(2(0(0(2(2(1(0(2(1(2(1(0(x1)))))))))))))))))))) -> 0(2(2(0(2(0(2(1(0(2(0(0(2(2(1(0(0(0(2(0(x1))))))))))))))))))))
   0(0(1(2(2(1(0(1(1(1(0(0(1(2(1(2(2(2(0(2(x1)))))))))))))))))))) -> 0(1(1(2(2(0(0(2(0(2(2(0(0(1(0(0(0(0(0(0(x1))))))))))))))))))))
   0(0(1(2(2(1(1(0(2(2(2(0(1(1(1(1(0(1(2(1(x1)))))))))))))))))))) -> 0(1(2(2(0(1(1(1(2(0(2(0(0(1(2(0(2(1(2(0(x1))))))))))))))))))))
   0(0(2(0(0(0(2(1(2(2(2(1(1(1(0(2(1(1(0(0(x1)))))))))))))))))))) -> 0(2(0(1(2(0(1(2(0(1(0(1(2(2(1(2(1(0(0(0(x1))))))))))))))))))))
   0(0(2(0(1(1(2(0(2(1(0(2(2(1(1(0(1(2(0(1(x1)))))))))))))))))))) -> 0(1(2(0(2(0(1(0(1(2(1(0(0(2(2(1(0(1(0(1(x1))))))))))))))))))))
   0(0(2(0(1(2(2(0(0(1(2(2(0(0(2(2(1(1(0(1(x1)))))))))))))))))))) -> 0(0(1(2(0(0(1(1(0(2(0(2(0(0(0(0(0(2(0(1(x1))))))))))))))))))))
   0(0(2(0(2(1(1(2(1(1(1(1(1(0(1(1(1(2(2(1(x1)))))))))))))))))))) -> 0(2(0(0(2(1(1(2(2(0(2(0(1(2(2(2(1(1(1(2(x1))))))))))))))))))))
   0(0(2(1(0(1(0(0(2(0(1(1(0(2(0(2(2(2(2(0(x1)))))))))))))))))))) -> 0(2(2(0(0(0(2(1(0(0(0(1(1(2(0(1(1(0(0(0(x1))))))))))))))))))))
   0(0(2(1(1(0(2(2(1(1(1(1(2(2(0(0(2(1(0(0(x1)))))))))))))))))))) -> 0(2(2(1(1(1(2(1(0(1(2(1(2(1(1(2(1(0(0(0(x1))))))))))))))))))))
   0(0(2(2(0(0(1(0(2(2(1(1(2(2(1(0(2(2(0(1(x1)))))))))))))))))))) -> 0(2(0(2(2(1(0(0(2(2(1(2(1(1(0(0(2(0(2(1(x1))))))))))))))))))))
   0(0(2(2(0(1(0(2(1(2(1(1(2(2(2(1(1(2(0(2(x1)))))))))))))))))))) -> 0(0(1(2(1(2(1(2(1(2(0(1(2(1(0(0(0(1(2(0(x1))))))))))))))))))))
   0(0(2(2(1(1(1(0(1(0(1(0(1(2(2(2(1(2(0(0(x1)))))))))))))))))))) -> 0(1(0(2(0(2(2(1(0(1(0(2(1(2(1(0(1(1(1(2(x1))))))))))))))))))))
   0(0(2(2(1(2(0(1(2(2(0(1(0(0(0(2(2(0(0(0(x1)))))))))))))))))))) -> 0(0(0(0(2(0(0(0(2(2(2(0(2(0(1(0(1(0(0(0(x1))))))))))))))))))))
   0(0(2(2(2(0(1(0(1(1(1(0(1(0(0(0(1(1(2(0(x1)))))))))))))))))))) -> 0(2(0(2(2(2(2(0(2(2(1(0(0(0(0(0(0(2(0(0(x1))))))))))))))))))))
   0(1(0(0(1(0(2(1(2(2(1(2(2(1(1(1(1(2(2(1(x1)))))))))))))))))))) -> 0(0(1(1(1(0(1(0(0(0(2(2(1(1(2(0(0(2(1(2(x1))))))))))))))))))))
   0(1(0(0(1(1(1(0(1(1(2(1(1(1(2(2(1(2(2(1(x1)))))))))))))))))))) -> 0(0(1(1(1(2(1(0(2(0(0(0(1(2(2(0(0(1(1(1(x1))))))))))))))))))))
   0(1(0(0(2(2(0(1(2(2(1(2(1(0(1(2(2(2(1(0(x1)))))))))))))))))))) -> 0(0(2(2(0(2(2(2(1(0(2(1(2(0(2(2(0(0(2(2(x1))))))))))))))))))))
   0(1(0(0(2(2(0(2(2(1(2(1(2(1(1(0(0(2(2(2(x1)))))))))))))))))))) -> 0(2(0(1(2(1(0(1(0(0(0(0(0(0(2(0(1(0(2(1(x1))))))))))))))))))))
   0(1(0(1(0(1(1(0(0(0(1(0(2(1(1(2(0(1(0(1(x1)))))))))))))))))))) -> 0(0(2(1(1(0(0(2(0(2(1(0(1(1(0(2(2(0(1(2(x1))))))))))))))))))))
   0(1(0(1(1(1(1(2(0(2(2(2(2(2(2(1(0(2(0(1(x1)))))))))))))))))))) -> 0(0(0(2(2(1(0(0(1(2(1(0(2(2(1(0(0(2(2(1(x1))))))))))))))))))))
   0(1(0(1(1(2(1(0(0(0(2(2(2(1(2(1(2(1(0(2(x1)))))))))))))))))))) -> 0(1(0(0(2(2(1(2(1(0(1(0(0(0(2(0(0(2(1(2(x1))))))))))))))))))))
   0(1(0(1(1(2(2(0(0(0(2(2(2(1(1(0(1(1(1(1(x1)))))))))))))))))))) -> 0(0(2(2(2(2(2(2(1(1(0(1(2(2(0(1(2(0(2(1(x1))))))))))))))))))))
   0(1(0(1(1(2(2(1(0(1(2(1(1(0(1(2(0(2(0(2(x1)))))))))))))))))))) -> 0(2(0(1(0(1(1(0(0(1(0(2(0(0(0(2(2(0(2(0(x1))))))))))))))))))))
   0(1(0(1(2(1(1(1(0(0(1(1(2(2(2(0(2(0(1(2(x1)))))))))))))))))))) -> 0(2(1(1(2(1(0(2(0(1(1(0(2(0(1(0(2(2(0(2(x1))))))))))))))))))))
   0(1(0(1(2(1(1(1(2(2(0(2(1(1(2(1(2(0(2(1(x1)))))))))))))))))))) -> 0(2(1(2(0(0(2(1(2(2(1(2(1(2(0(2(0(0(2(1(x1))))))))))))))))))))
   0(1(0(2(0(0(1(2(2(2(1(2(2(2(0(0(0(1(2(2(x1)))))))))))))))))))) -> 0(1(0(1(1(2(1(0(0(1(0(0(2(2(2(1(0(2(0(0(x1))))))))))))))))))))
   0(1(0(2(0(2(1(1(1(0(1(2(2(0(2(0(1(1(2(0(x1)))))))))))))))))))) -> 0(0(1(2(0(0(0(0(0(0(1(1(0(2(0(2(1(2(1(0(x1))))))))))))))))))))
   0(1(0(2(1(1(1(0(2(2(1(1(1(1(2(0(2(1(0(0(x1)))))))))))))))))))) -> 0(2(1(0(2(0(0(1(2(2(0(0(0(1(1(1(1(0(2(2(x1))))))))))))))))))))
   0(1(0(2(2(1(1(0(1(0(2(2(1(0(2(0(1(0(1(1(x1)))))))))))))))))))) -> 0(1(2(0(0(2(2(0(0(0(0(2(1(2(1(0(1(2(0(2(x1))))))))))))))))))))
   0(1(0(2(2(2(1(2(1(1(1(2(1(0(2(1(1(1(0(1(x1)))))))))))))))))))) -> 0(0(1(2(2(2(1(0(0(1(1(2(1(1(2(0(0(1(2(0(x1))))))))))))))))))))
   0(1(1(0(0(2(0(2(1(1(1(2(1(2(1(0(0(1(1(1(x1)))))))))))))))))))) -> 0(1(0(0(2(2(0(0(2(2(0(2(0(0(1(2(1(0(1(2(x1))))))))))))))))))))
   0(1(1(0(1(0(2(1(1(2(2(0(2(0(2(0(2(2(0(1(x1)))))))))))))))))))) -> 0(2(0(2(1(0(0(1(2(2(1(2(2(1(2(2(1(2(2(0(x1))))))))))))))))))))
   0(1(1(0(1(1(1(1(2(0(2(0(2(2(2(0(0(0(2(1(x1)))))))))))))))))))) -> 0(1(0(1(2(2(2(0(2(2(1(1(2(2(2(0(0(0(1(0(x1))))))))))))))))))))
   0(1(1(0(1(2(1(2(0(2(2(1(0(0(2(0(1(0(1(1(x1)))))))))))))))))))) -> 0(0(0(1(2(0(2(2(2(0(1(0(1(2(1(1(1(0(2(0(x1))))))))))))))))))))
   0(1(1(0(2(0(2(1(2(1(2(2(0(2(1(2(2(1(1(0(x1)))))))))))))))))))) -> 0(2(0(1(1(1(0(1(0(1(2(0(2(2(1(0(2(0(0(2(x1))))))))))))))))))))
   0(1(1(0(2(1(1(0(0(1(1(1(2(2(2(0(2(0(0(2(x1)))))))))))))))))))) -> 0(1(2(1(0(2(1(0(1(2(2(2(0(0(2(0(2(2(1(2(x1))))))))))))))))))))
   0(1(1(0(2(1(2(1(1(0(1(1(2(1(0(1(0(1(1(1(x1)))))))))))))))))))) -> 0(1(1(1(2(1(2(2(0(1(1(0(2(2(0(0(2(1(0(2(x1))))))))))))))))))))
   0(1(1(0(2(2(0(1(2(2(2(0(2(2(1(2(1(2(1(0(x1)))))))))))))))))))) -> 0(0(2(0(0(2(0(2(1(0(2(2(2(0(0(0(2(1(1(2(x1))))))))))))))))))))
   0(1(1(1(1(1(1(2(2(0(2(0(2(2(0(2(1(0(1(0(x1)))))))))))))))))))) -> 0(2(0(1(1(0(2(0(0(1(1(2(0(1(0(0(1(0(2(0(x1))))))))))))))))))))
   0(1(1(1(1(2(0(0(0(2(2(2(2(1(0(2(2(2(0(1(x1)))))))))))))))))))) -> 0(2(0(0(0(1(2(0(1(2(2(2(1(2(1(1(1(2(1(2(x1))))))))))))))))))))
   0(1(1(1(2(2(1(2(1(1(1(0(0(1(1(1(2(1(1(0(x1)))))))))))))))))))) -> 0(0(1(0(2(0(1(1(1(2(0(2(1(2(2(0(2(1(2(1(x1))))))))))))))))))))
   0(1(1(2(0(1(0(0(1(2(0(2(1(0(0(0(0(2(0(1(x1)))))))))))))))))))) -> 0(0(2(1(2(2(2(1(2(1(0(0(0(2(2(1(0(1(2(0(x1))))))))))))))))))))
   0(1(1(2(0(2(0(2(2(1(1(2(0(1(2(2(0(1(0(0(x1)))))))))))))))))))) -> 0(1(2(0(0(0(2(1(2(0(1(2(2(2(2(0(1(1(0(1(x1))))))))))))))))))))
   0(1(1(2(1(1(1(1(0(0(0(0(1(1(0(1(0(1(1(0(x1)))))))))))))))))))) -> 0(0(0(1(0(1(0(1(1(1(2(0(1(2(2(0(2(2(0(2(x1))))))))))))))))))))
   0(1(1(2(2(2(2(1(0(2(0(0(1(2(2(1(2(2(2(2(x1)))))))))))))))))))) -> 0(1(0(0(2(0(0(1(2(1(2(0(1(2(2(1(0(2(0(2(x1))))))))))))))))))))
   0(1(2(0(0(1(2(0(2(0(0(1(0(2(0(0(2(1(2(0(x1)))))))))))))))))))) -> 0(2(1(2(0(0(0(2(0(0(2(1(2(2(0(2(2(0(0(0(x1))))))))))))))))))))
   0(1(2(0(0(2(1(1(0(2(1(0(1(1(1(0(1(1(0(0(x1)))))))))))))))))))) -> 0(0(0(2(0(1(1(2(2(0(2(0(0(2(1(0(0(2(1(1(x1))))))))))))))))))))
   0(1(2(0(1(0(2(0(2(1(2(2(1(1(1(2(0(1(2(1(x1)))))))))))))))))))) -> 0(0(2(2(2(0(0(0(1(0(0(0(0(2(1(2(1(1(2(1(x1))))))))))))))))))))
   0(1(2(0(2(0(0(2(1(1(1(2(2(0(0(0(2(0(0(0(x1)))))))))))))))))))) -> 0(1(0(0(2(1(0(1(1(0(1(2(2(0(1(2(1(0(1(0(x1))))))))))))))))))))
   0(1(2(1(0(1(2(2(1(1(0(0(1(1(2(2(1(0(1(1(x1)))))))))))))))))))) -> 0(2(2(2(0(2(0(2(0(1(2(1(2(2(2(1(0(0(1(0(x1))))))))))))))))))))
   0(1(2(2(0(1(1(1(2(1(0(0(2(0(1(2(2(0(1(2(x1)))))))))))))))))))) -> 0(2(0(0(2(0(2(2(1(0(1(1(1(0(2(0(1(2(0(0(x1))))))))))))))))))))
   0(1(2(2(2(0(0(2(0(1(2(1(0(1(0(0(2(0(0(2(x1)))))))))))))))))))) -> 0(0(0(1(2(0(2(1(2(2(0(0(0(1(0(1(0(0(1(2(x1))))))))))))))))))))
   0(1(2(2(2(2(2(2(2(1(0(2(2(1(1(2(1(2(1(1(x1)))))))))))))))))))) -> 0(2(1(0(2(1(0(1(2(0(0(0(1(2(0(0(0(0(0(1(x1))))))))))))))))))))
   0(2(0(0(0(2(1(1(0(2(2(1(1(0(0(0(0(1(0(0(x1)))))))))))))))))))) -> 0(0(2(1(0(0(0(2(2(2(2(0(0(2(0(2(1(2(1(2(x1))))))))))))))))))))
   0(2(0(0(1(0(2(1(0(2(2(0(1(0(2(1(2(1(1(2(x1)))))))))))))))))))) -> 0(2(1(0(2(1(0(2(1(2(1(0(1(2(0(1(0(0(0(0(x1))))))))))))))))))))
   0(2(0(1(1(0(1(1(1(0(1(0(0(2(1(0(2(2(2(0(x1)))))))))))))))))))) -> 0(2(2(2(0(0(2(0(0(2(0(1(2(1(2(2(1(2(1(2(x1))))))))))))))))))))
   0(2(0(1(1(1(0(1(2(2(0(2(0(2(0(2(1(2(0(1(x1)))))))))))))))))))) -> 0(2(2(0(1(2(2(2(2(1(0(2(1(2(0(0(2(2(2(1(x1))))))))))))))))))))
   0(2(0(1(2(1(1(1(1(2(0(2(1(2(0(1(2(2(0(1(x1)))))))))))))))))))) -> 0(1(1(1(1(2(1(0(0(1(1(0(2(1(0(0(2(0(0(1(x1))))))))))))))))))))
   0(2(0(2(0(2(0(2(1(1(0(2(1(1(1(1(2(0(2(0(x1)))))))))))))))))))) -> 0(1(0(2(1(2(1(1(0(0(2(2(2(0(0(1(2(2(0(0(x1))))))))))))))))))))
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   0(2(0(2(1(0(0(1(2(0(2(0(1(0(1(1(1(2(2(1(x1)))))))))))))))))))) -> 0(0(1(0(1(0(1(1(2(1(0(0(0(1(2(2(2(0(1(0(x1))))))))))))))))))))
   0(2(0(2(1(1(2(0(0(0(2(1(2(1(2(0(0(1(2(0(x1)))))))))))))))))))) -> 0(2(2(0(1(2(0(1(0(0(0(0(2(1(0(0(0(0(1(2(x1))))))))))))))))))))
   0(2(0(2(1(2(1(2(2(0(2(1(1(1(2(1(1(1(1(1(x1)))))))))))))))))))) -> 0(1(1(1(0(2(1(0(1(2(1(0(0(0(2(1(1(2(0(1(x1))))))))))))))))))))
   0(2(1(0(1(2(2(0(0(1(2(0(2(2(2(2(2(2(1(1(x1)))))))))))))))))))) -> 0(0(0(1(2(2(0(0(0(1(2(0(0(0(2(2(0(1(0(2(x1))))))))))))))))))))
   0(2(1(1(0(2(1(1(1(1(2(2(0(1(1(1(2(2(1(1(x1)))))))))))))))))))) -> 0(0(2(0(0(1(0(2(2(1(0(1(1(0(0(2(0(2(2(1(x1))))))))))))))))))))
   0(2(1(1(1(0(0(1(2(1(2(1(1(2(0(2(1(0(1(2(x1)))))))))))))))))))) -> 0(1(0(1(0(2(0(0(0(1(1(1(2(0(0(0(1(2(2(2(x1))))))))))))))))))))
   0(2(1(1(1(0(2(1(1(0(1(0(2(2(0(0(2(0(2(1(x1)))))))))))))))))))) -> 0(1(0(1(2(2(2(1(1(0(2(2(1(2(0(0(0(0(2(1(x1))))))))))))))))))))
   0(2(1(1(1(1(0(0(0(0(2(1(2(0(0(2(1(0(2(1(x1)))))))))))))))))))) -> 0(0(0(1(0(1(1(2(0(2(0(0(2(2(2(2(1(0(2(1(x1))))))))))))))))))))
   0(2(1(1(1(2(2(0(0(0(2(1(0(1(2(2(1(0(2(0(x1)))))))))))))))))))) -> 0(1(0(1(0(0(0(1(0(2(1(1(0(0(2(1(2(0(2(1(x1))))))))))))))))))))
   0(2(1(1(2(0(2(2(2(0(1(2(0(2(0(2(2(0(0(1(x1)))))))))))))))))))) -> 0(0(2(1(2(0(0(0(2(0(1(2(2(2(1(0(1(1(1(0(x1))))))))))))))))))))
   0(2(1(1(2(1(2(2(2(0(0(1(0(2(1(1(1(2(2(0(x1)))))))))))))))))))) -> 0(0(0(2(1(0(1(2(1(2(1(1(1(2(0(0(0(1(1(0(x1))))))))))))))))))))
   0(2(1(2(0(1(1(1(2(0(1(1(2(1(2(0(2(0(2(0(x1)))))))))))))))))))) -> 0(1(2(1(1(0(1(1(2(1(2(0(1(0(1(2(2(0(2(2(x1))))))))))))))))))))
   0(2(1(2(0(1(1(2(2(0(1(1(0(1(2(1(0(0(0(1(x1)))))))))))))))))))) -> 0(0(1(0(0(2(0(2(0(1(2(1(0(0(0(1(0(0(2(1(x1))))))))))))))))))))
   0(2(2(0(0(2(1(0(2(0(2(0(2(0(1(1(2(2(1(0(x1)))))))))))))))))))) -> 0(2(0(0(0(0(0(0(1(2(0(1(2(2(0(1(0(1(0(1(x1))))))))))))))))))))
   0(2(2(0(1(2(2(0(1(1(2(1(1(2(2(2(1(0(1(2(x1)))))))))))))))))))) -> 0(2(1(0(0(0(2(0(1(1(1(0(1(0(2(2(1(1(2(2(x1))))))))))))))))))))
   0(2(2(0(2(0(1(1(2(2(2(0(2(2(0(2(0(1(2(0(x1)))))))))))))))))))) -> 0(1(1(0(0(0(2(0(0(1(1(1(0(1(1(0(0(0(0(2(x1))))))))))))))))))))
   0(2(2(1(0(0(1(1(2(0(2(2(0(1(1(2(2(1(0(0(x1)))))))))))))))))))) -> 0(2(1(0(2(2(0(0(0(0(0(1(2(1(0(1(1(2(1(1(x1))))))))))))))))))))
   0(2(2(1(1(1(1(0(0(1(0(1(0(2(2(1(1(2(2(1(x1)))))))))))))))))))) -> 0(2(2(2(0(2(2(1(1(2(2(2(2(0(2(0(0(2(0(2(x1))))))))))))))))))))
   0(2(2(1(1(2(0(1(0(1(0(2(0(1(0(1(0(2(1(1(x1)))))))))))))))))))) -> 0(1(1(0(0(1(1(0(0(2(2(1(1(2(2(0(0(0(2(0(x1))))))))))))))))))))
   0(2(2(1(1(2(2(1(0(2(1(2(1(1(2(2(2(0(2(0(x1)))))))))))))))))))) -> 0(2(1(2(2(2(1(0(0(1(0(0(0(1(2(1(1(2(2(1(x1))))))))))))))))))))
   0(2(2(1(2(0(1(1(0(0(1(1(2(0(1(1(0(2(2(2(x1)))))))))))))))))))) -> 0(2(2(2(0(2(0(0(2(2(0(0(2(1(1(0(0(2(1(1(x1))))))))))))))))))))
   0(2(2(2(2(1(0(0(0(2(2(1(0(1(1(1(0(1(2(2(x1)))))))))))))))))))) -> 0(0(2(2(0(2(0(2(0(1(1(2(0(0(0(0(2(1(1(2(x1))))))))))))))))))))
   1(2(2(0(2(0(2(1(2(1(2(1(0(0(1(0(0(2(0(1(x1)))))))))))))))))))) -> 1(0(1(2(0(1(0(0(1(0(0(0(2(1(0(0(1(0(0(2(x1))))))))))))))))))))

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

   encArg(2(x_1)) -> 2(encArg(x_1))
   encArg(cons_0(x_1)) -> 0(encArg(x_1))
   encArg(cons_1(x_1)) -> 1(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(0(1(2(0(2(0(1(2(2(1(1(1(1(1(0(2(2(x1)))))))))))))))))))) -> 0(2(0(0(1(0(1(0(0(2(0(0(2(0(2(1(1(0(1(2(x1))))))))))))))))))))
0(0(0(1(0(2(0(2(1(2(0(1(1(2(1(1(2(2(1(1(x1)))))))))))))))))))) -> 0(1(2(0(2(2(1(1(1(0(1(0(2(1(2(1(2(1(2(1(x1))))))))))))))))))))
0(0(0(1(2(0(2(2(1(1(0(1(0(1(2(0(1(1(1(1(x1)))))))))))))))))))) -> 0(1(2(0(1(2(1(0(1(0(1(0(2(0(1(1(1(1(0(2(x1))))))))))))))))))))
0(0(0(2(0(0(0(2(1(2(2(1(1(0(0(0(1(1(1(2(x1)))))))))))))))))))) -> 0(2(2(1(0(1(0(2(2(2(1(1(2(0(0(0(0(0(1(2(x1))))))))))))))))))))
0(0(0(2(1(2(2(0(1(1(0(0(1(1(2(1(0(2(2(1(x1)))))))))))))))))))) -> 0(2(0(1(1(2(0(1(2(1(2(1(0(2(2(0(2(0(1(0(x1))))))))))))))))))))
0(0(0(2(2(1(1(2(2(0(0(2(1(2(0(1(1(0(2(2(x1)))))))))))))))))))) -> 0(2(2(2(1(0(0(2(1(2(1(2(1(2(1(1(1(2(0(2(x1))))))))))))))))))))
0(0(1(0(0(1(1(2(1(1(2(2(1(1(2(2(1(1(0(2(x1)))))))))))))))))))) -> 0(1(1(0(0(2(0(0(2(0(2(1(1(1(1(1(0(2(0(2(x1))))))))))))))))))))
0(0(1(0(1(0(2(0(0(1(2(1(1(2(2(2(1(0(2(1(x1)))))))))))))))))))) -> 0(2(1(0(1(0(0(0(2(0(0(1(2(0(2(1(0(0(2(0(x1))))))))))))))))))))
0(0(1(0(1(2(2(2(1(1(2(1(2(1(0(2(0(1(2(0(x1)))))))))))))))))))) -> 0(2(0(1(1(2(2(2(1(0(0(2(1(0(0(0(0(2(0(2(x1))))))))))))))))))))
0(0(1(0(2(0(2(1(1(1(0(0(0(2(2(1(2(1(1(2(x1)))))))))))))))))))) -> 0(2(0(0(2(2(0(2(1(1(2(1(2(1(0(2(2(0(2(0(x1))))))))))))))))))))
0(0(1(0(2(1(2(2(2(2(0(1(2(0(1(1(2(2(0(2(x1)))))))))))))))))))) -> 0(0(2(1(1(0(0(2(2(2(0(1(2(2(0(1(2(2(0(2(x1))))))))))))))))))))
0(0(1(0(2(2(1(2(0(0(1(1(2(2(2(1(1(2(1(1(x1)))))))))))))))))))) -> 0(2(0(2(2(0(0(1(2(0(2(0(0(1(1(0(0(2(1(1(x1))))))))))))))))))))
0(0(1(0(2(2(2(2(1(0(2(1(0(2(2(0(1(1(2(1(x1)))))))))))))))))))) -> 0(0(1(0(0(0(0(2(2(2(2(0(0(0(1(0(0(2(1(1(x1))))))))))))))))))))
0(0(1(1(0(2(2(1(1(1(1(1(2(0(2(1(0(2(2(1(x1)))))))))))))))))))) -> 0(2(0(1(1(0(1(2(2(2(0(0(2(2(2(0(2(0(0(0(x1))))))))))))))))))))
0(0(1(1(1(1(0(2(2(2(2(1(1(2(2(2(1(1(2(1(x1)))))))))))))))))))) -> 0(1(0(0(1(1(2(2(0(2(2(0(2(0(0(0(2(2(1(1(x1))))))))))))))))))))
0(0(1(2(0(1(2(0(1(1(1(0(2(2(1(0(2(1(1(2(x1)))))))))))))))))))) -> 0(1(2(2(0(2(2(2(1(0(1(2(2(1(0(0(1(1(1(2(x1))))))))))))))))))))
0(0(1(2(2(0(1(1(2(0(0(2(2(1(0(2(1(2(1(0(x1)))))))))))))))))))) -> 0(2(2(0(2(0(2(1(0(2(0(0(2(2(1(0(0(0(2(0(x1))))))))))))))))))))
0(0(1(2(2(1(0(1(1(1(0(0(1(2(1(2(2(2(0(2(x1)))))))))))))))))))) -> 0(1(1(2(2(0(0(2(0(2(2(0(0(1(0(0(0(0(0(0(x1))))))))))))))))))))
0(0(1(2(2(1(1(0(2(2(2(0(1(1(1(1(0(1(2(1(x1)))))))))))))))))))) -> 0(1(2(2(0(1(1(1(2(0(2(0(0(1(2(0(2(1(2(0(x1))))))))))))))))))))
0(0(2(0(0(0(2(1(2(2(2(1(1(1(0(2(1(1(0(0(x1)))))))))))))))))))) -> 0(2(0(1(2(0(1(2(0(1(0(1(2(2(1(2(1(0(0(0(x1))))))))))))))))))))
0(0(2(0(1(1(2(0(2(1(0(2(2(1(1(0(1(2(0(1(x1)))))))))))))))))))) -> 0(1(2(0(2(0(1(0(1(2(1(0(0(2(2(1(0(1(0(1(x1))))))))))))))))))))
0(0(2(0(1(2(2(0(0(1(2(2(0(0(2(2(1(1(0(1(x1)))))))))))))))))))) -> 0(0(1(2(0(0(1(1(0(2(0(2(0(0(0(0(0(2(0(1(x1))))))))))))))))))))
0(0(2(0(2(1(1(2(1(1(1(1(1(0(1(1(1(2(2(1(x1)))))))))))))))))))) -> 0(2(0(0(2(1(1(2(2(0(2(0(1(2(2(2(1(1(1(2(x1))))))))))))))))))))
0(0(2(1(0(1(0(0(2(0(1(1(0(2(0(2(2(2(2(0(x1)))))))))))))))))))) -> 0(2(2(0(0(0(2(1(0(0(0(1(1(2(0(1(1(0(0(0(x1))))))))))))))))))))
0(0(2(1(1(0(2(2(1(1(1(1(2(2(0(0(2(1(0(0(x1)))))))))))))))))))) -> 0(2(2(1(1(1(2(1(0(1(2(1(2(1(1(2(1(0(0(0(x1))))))))))))))))))))
0(0(2(2(0(0(1(0(2(2(1(1(2(2(1(0(2(2(0(1(x1)))))))))))))))))))) -> 0(2(0(2(2(1(0(0(2(2(1(2(1(1(0(0(2(0(2(1(x1))))))))))))))))))))
0(0(2(2(0(1(0(2(1(2(1(1(2(2(2(1(1(2(0(2(x1)))))))))))))))))))) -> 0(0(1(2(1(2(1(2(1(2(0(1(2(1(0(0(0(1(2(0(x1))))))))))))))))))))
0(0(2(2(1(1(1(0(1(0(1(0(1(2(2(2(1(2(0(0(x1)))))))))))))))))))) -> 0(1(0(2(0(2(2(1(0(1(0(2(1(2(1(0(1(1(1(2(x1))))))))))))))))))))
0(0(2(2(1(2(0(1(2(2(0(1(0(0(0(2(2(0(0(0(x1)))))))))))))))))))) -> 0(0(0(0(2(0(0(0(2(2(2(0(2(0(1(0(1(0(0(0(x1))))))))))))))))))))
0(0(2(2(2(0(1(0(1(1(1(0(1(0(0(0(1(1(2(0(x1)))))))))))))))))))) -> 0(2(0(2(2(2(2(0(2(2(1(0(0(0(0(0(0(2(0(0(x1))))))))))))))))))))
0(1(0(0(1(0(2(1(2(2(1(2(2(1(1(1(1(2(2(1(x1)))))))))))))))))))) -> 0(0(1(1(1(0(1(0(0(0(2(2(1(1(2(0(0(2(1(2(x1))))))))))))))))))))
0(1(0(0(1(1(1(0(1(1(2(1(1(1(2(2(1(2(2(1(x1)))))))))))))))))))) -> 0(0(1(1(1(2(1(0(2(0(0(0(1(2(2(0(0(1(1(1(x1))))))))))))))))))))
0(1(0(0(2(2(0(1(2(2(1(2(1(0(1(2(2(2(1(0(x1)))))))))))))))))))) -> 0(0(2(2(0(2(2(2(1(0(2(1(2(0(2(2(0(0(2(2(x1))))))))))))))))))))
0(1(0(0(2(2(0(2(2(1(2(1(2(1(1(0(0(2(2(2(x1)))))))))))))))))))) -> 0(2(0(1(2(1(0(1(0(0(0(0(0(0(2(0(1(0(2(1(x1))))))))))))))))))))
0(1(0(1(0(1(1(0(0(0(1(0(2(1(1(2(0(1(0(1(x1)))))))))))))))))))) -> 0(0(2(1(1(0(0(2(0(2(1(0(1(1(0(2(2(0(1(2(x1))))))))))))))))))))
0(1(0(1(1(1(1(2(0(2(2(2(2(2(2(1(0(2(0(1(x1)))))))))))))))))))) -> 0(0(0(2(2(1(0(0(1(2(1(0(2(2(1(0(0(2(2(1(x1))))))))))))))))))))
0(1(0(1(1(2(1(0(0(0(2(2(2(1(2(1(2(1(0(2(x1)))))))))))))))))))) -> 0(1(0(0(2(2(1(2(1(0(1(0(0(0(2(0(0(2(1(2(x1))))))))))))))))))))
0(1(0(1(1(2(2(0(0(0(2(2(2(1(1(0(1(1(1(1(x1)))))))))))))))))))) -> 0(0(2(2(2(2(2(2(1(1(0(1(2(2(0(1(2(0(2(1(x1))))))))))))))))))))
0(1(0(1(1(2(2(1(0(1(2(1(1(0(1(2(0(2(0(2(x1)))))))))))))))))))) -> 0(2(0(1(0(1(1(0(0(1(0(2(0(0(0(2(2(0(2(0(x1))))))))))))))))))))
0(1(0(1(2(1(1(1(0(0(1(1(2(2(2(0(2(0(1(2(x1)))))))))))))))))))) -> 0(2(1(1(2(1(0(2(0(1(1(0(2(0(1(0(2(2(0(2(x1))))))))))))))))))))
0(1(0(1(2(1(1(1(2(2(0(2(1(1(2(1(2(0(2(1(x1)))))))))))))))))))) -> 0(2(1(2(0(0(2(1(2(2(1(2(1(2(0(2(0(0(2(1(x1))))))))))))))))))))
0(1(0(2(0(0(1(2(2(2(1(2(2(2(0(0(0(1(2(2(x1)))))))))))))))))))) -> 0(1(0(1(1(2(1(0(0(1(0(0(2(2(2(1(0(2(0(0(x1))))))))))))))))))))
0(1(0(2(0(2(1(1(1(0(1(2(2(0(2(0(1(1(2(0(x1)))))))))))))))))))) -> 0(0(1(2(0(0(0(0(0(0(1(1(0(2(0(2(1(2(1(0(x1))))))))))))))))))))
0(1(0(2(1(1(1(0(2(2(1(1(1(1(2(0(2(1(0(0(x1)))))))))))))))))))) -> 0(2(1(0(2(0(0(1(2(2(0(0(0(1(1(1(1(0(2(2(x1))))))))))))))))))))
0(1(0(2(2(1(1(0(1(0(2(2(1(0(2(0(1(0(1(1(x1)))))))))))))))))))) -> 0(1(2(0(0(2(2(0(0(0(0(2(1(2(1(0(1(2(0(2(x1))))))))))))))))))))
0(1(0(2(2(2(1(2(1(1(1(2(1(0(2(1(1(1(0(1(x1)))))))))))))))))))) -> 0(0(1(2(2(2(1(0(0(1(1(2(1(1(2(0(0(1(2(0(x1))))))))))))))))))))
0(1(1(0(0(2(0(2(1(1(1(2(1(2(1(0(0(1(1(1(x1)))))))))))))))))))) -> 0(1(0(0(2(2(0(0(2(2(0(2(0(0(1(2(1(0(1(2(x1))))))))))))))))))))
0(1(1(0(1(0(2(1(1(2(2(0(2(0(2(0(2(2(0(1(x1)))))))))))))))))))) -> 0(2(0(2(1(0(0(1(2(2(1(2(2(1(2(2(1(2(2(0(x1))))))))))))))))))))
0(1(1(0(1(1(1(1(2(0(2(0(2(2(2(0(0(0(2(1(x1)))))))))))))))))))) -> 0(1(0(1(2(2(2(0(2(2(1(1(2(2(2(0(0(0(1(0(x1))))))))))))))))))))
0(1(1(0(1(2(1(2(0(2(2(1(0(0(2(0(1(0(1(1(x1)))))))))))))))))))) -> 0(0(0(1(2(0(2(2(2(0(1(0(1(2(1(1(1(0(2(0(x1))))))))))))))))))))
0(1(1(0(2(0(2(1(2(1(2(2(0(2(1(2(2(1(1(0(x1)))))))))))))))))))) -> 0(2(0(1(1(1(0(1(0(1(2(0(2(2(1(0(2(0(0(2(x1))))))))))))))))))))
0(1(1(0(2(1(1(0(0(1(1(1(2(2(2(0(2(0(0(2(x1)))))))))))))))))))) -> 0(1(2(1(0(2(1(0(1(2(2(2(0(0(2(0(2(2(1(2(x1))))))))))))))))))))
0(1(1(0(2(1(2(1(1(0(1(1(2(1(0(1(0(1(1(1(x1)))))))))))))))))))) -> 0(1(1(1(2(1(2(2(0(1(1(0(2(2(0(0(2(1(0(2(x1))))))))))))))))))))
0(1(1(0(2(2(0(1(2(2(2(0(2(2(1(2(1(2(1(0(x1)))))))))))))))))))) -> 0(0(2(0(0(2(0(2(1(0(2(2(2(0(0(0(2(1(1(2(x1))))))))))))))))))))
0(1(1(1(1(1(1(2(2(0(2(0(2(2(0(2(1(0(1(0(x1)))))))))))))))))))) -> 0(2(0(1(1(0(2(0(0(1(1(2(0(1(0(0(1(0(2(0(x1))))))))))))))))))))
0(1(1(1(1(2(0(0(0(2(2(2(2(1(0(2(2(2(0(1(x1)))))))))))))))))))) -> 0(2(0(0(0(1(2(0(1(2(2(2(1(2(1(1(1(2(1(2(x1))))))))))))))))))))
0(1(1(1(2(2(1(2(1(1(1(0(0(1(1(1(2(1(1(0(x1)))))))))))))))))))) -> 0(0(1(0(2(0(1(1(1(2(0(2(1(2(2(0(2(1(2(1(x1))))))))))))))))))))
0(1(1(2(0(1(0(0(1(2(0(2(1(0(0(0(0(2(0(1(x1)))))))))))))))))))) -> 0(0(2(1(2(2(2(1(2(1(0(0(0(2(2(1(0(1(2(0(x1))))))))))))))))))))
0(1(1(2(0(2(0(2(2(1(1(2(0(1(2(2(0(1(0(0(x1)))))))))))))))))))) -> 0(1(2(0(0(0(2(1(2(0(1(2(2(2(2(0(1(1(0(1(x1))))))))))))))))))))
0(1(1(2(1(1(1(1(0(0(0(0(1(1(0(1(0(1(1(0(x1)))))))))))))))))))) -> 0(0(0(1(0(1(0(1(1(1(2(0(1(2(2(0(2(2(0(2(x1))))))))))))))))))))
0(1(1(2(2(2(2(1(0(2(0(0(1(2(2(1(2(2(2(2(x1)))))))))))))))))))) -> 0(1(0(0(2(0(0(1(2(1(2(0(1(2(2(1(0(2(0(2(x1))))))))))))))))))))
0(1(2(0(0(1(2(0(2(0(0(1(0(2(0(0(2(1(2(0(x1)))))))))))))))))))) -> 0(2(1(2(0(0(0(2(0(0(2(1(2(2(0(2(2(0(0(0(x1))))))))))))))))))))
0(1(2(0(0(2(1(1(0(2(1(0(1(1(1(0(1(1(0(0(x1)))))))))))))))))))) -> 0(0(0(2(0(1(1(2(2(0(2(0(0(2(1(0(0(2(1(1(x1))))))))))))))))))))
0(1(2(0(1(0(2(0(2(1(2(2(1(1(1(2(0(1(2(1(x1)))))))))))))))))))) -> 0(0(2(2(2(0(0(0(1(0(0(0(0(2(1(2(1(1(2(1(x1))))))))))))))))))))
0(1(2(0(2(0(0(2(1(1(1(2(2(0(0(0(2(0(0(0(x1)))))))))))))))))))) -> 0(1(0(0(2(1(0(1(1(0(1(2(2(0(1(2(1(0(1(0(x1))))))))))))))))))))
0(1(2(1(0(1(2(2(1(1(0(0(1(1(2(2(1(0(1(1(x1)))))))))))))))))))) -> 0(2(2(2(0(2(0(2(0(1(2(1(2(2(2(1(0(0(1(0(x1))))))))))))))))))))
0(1(2(2(0(1(1(1(2(1(0(0(2(0(1(2(2(0(1(2(x1)))))))))))))))))))) -> 0(2(0(0(2(0(2(2(1(0(1(1(1(0(2(0(1(2(0(0(x1))))))))))))))))))))
0(1(2(2(2(0(0(2(0(1(2(1(0(1(0(0(2(0(0(2(x1)))))))))))))))))))) -> 0(0(0(1(2(0(2(1(2(2(0(0(0(1(0(1(0(0(1(2(x1))))))))))))))))))))
0(1(2(2(2(2(2(2(2(1(0(2(2(1(1(2(1(2(1(1(x1)))))))))))))))))))) -> 0(2(1(0(2(1(0(1(2(0(0(0(1(2(0(0(0(0(0(1(x1))))))))))))))))))))
0(2(0(0(0(2(1(1(0(2(2(1(1(0(0(0(0(1(0(0(x1)))))))))))))))))))) -> 0(0(2(1(0(0(0(2(2(2(2(0(0(2(0(2(1(2(1(2(x1))))))))))))))))))))
0(2(0(0(1(0(2(1(0(2(2(0(1(0(2(1(2(1(1(2(x1)))))))))))))))))))) -> 0(2(1(0(2(1(0(2(1(2(1(0(1(2(0(1(0(0(0(0(x1))))))))))))))))))))
0(2(0(1(1(0(1(1(1(0(1(0(0(2(1(0(2(2(2(0(x1)))))))))))))))))))) -> 0(2(2(2(0(0(2(0(0(2(0(1(2(1(2(2(1(2(1(2(x1))))))))))))))))))))
0(2(0(1(1(1(0(1(2(2(0(2(0(2(0(2(1(2(0(1(x1)))))))))))))))))))) -> 0(2(2(0(1(2(2(2(2(1(0(2(1(2(0(0(2(2(2(1(x1))))))))))))))))))))
0(2(0(1(2(1(1(1(1(2(0(2(1(2(0(1(2(2(0(1(x1)))))))))))))))))))) -> 0(1(1(1(1(2(1(0(0(1(1(0(2(1(0(0(2(0(0(1(x1))))))))))))))))))))
0(2(0(2(0(2(0(2(1(1(0(2(1(1(1(1(2(0(2(0(x1)))))))))))))))))))) -> 0(1(0(2(1(2(1(1(0(0(2(2(2(0(0(1(2(2(0(0(x1))))))))))))))))))))
0(2(0(2(0(2(1(2(2(0(1(1(1(2(1(1(0(2(0(1(x1)))))))))))))))))))) -> 0(2(0(0(1(1(1(0(2(1(1(2(0(0(0(2(2(1(1(0(x1))))))))))))))))))))
0(2(0(2(1(0(0(1(2(0(2(0(1(0(1(1(1(2(2(1(x1)))))))))))))))))))) -> 0(0(1(0(1(0(1(1(2(1(0(0(0(1(2(2(2(0(1(0(x1))))))))))))))))))))
0(2(0(2(1(1(2(0(0(0(2(1(2(1(2(0(0(1(2(0(x1)))))))))))))))))))) -> 0(2(2(0(1(2(0(1(0(0(0(0(2(1(0(0(0(0(1(2(x1))))))))))))))))))))
0(2(0(2(1(2(1(2(2(0(2(1(1(1(2(1(1(1(1(1(x1)))))))))))))))))))) -> 0(1(1(1(0(2(1(0(1(2(1(0(0(0(2(1(1(2(0(1(x1))))))))))))))))))))
0(2(1(0(1(2(2(0(0(1(2(0(2(2(2(2(2(2(1(1(x1)))))))))))))))))))) -> 0(0(0(1(2(2(0(0(0(1(2(0(0(0(2(2(0(1(0(2(x1))))))))))))))))))))
0(2(1(1(0(2(1(1(1(1(2(2(0(1(1(1(2(2(1(1(x1)))))))))))))))))))) -> 0(0(2(0(0(1(0(2(2(1(0(1(1(0(0(2(0(2(2(1(x1))))))))))))))))))))
0(2(1(1(1(0(0(1(2(1(2(1(1(2(0(2(1(0(1(2(x1)))))))))))))))))))) -> 0(1(0(1(0(2(0(0(0(1(1(1(2(0(0(0(1(2(2(2(x1))))))))))))))))))))
0(2(1(1(1(0(2(1(1(0(1(0(2(2(0(0(2(0(2(1(x1)))))))))))))))))))) -> 0(1(0(1(2(2(2(1(1(0(2(2(1(2(0(0(0(0(2(1(x1))))))))))))))))))))
0(2(1(1(1(1(0(0(0(0(2(1(2(0(0(2(1(0(2(1(x1)))))))))))))))))))) -> 0(0(0(1(0(1(1(2(0(2(0(0(2(2(2(2(1(0(2(1(x1))))))))))))))))))))
0(2(1(1(1(2(2(0(0(0(2(1(0(1(2(2(1(0(2(0(x1)))))))))))))))))))) -> 0(1(0(1(0(0(0(1(0(2(1(1(0(0(2(1(2(0(2(1(x1))))))))))))))))))))
0(2(1(1(2(0(2(2(2(0(1(2(0(2(0(2(2(0(0(1(x1)))))))))))))))))))) -> 0(0(2(1(2(0(0(0(2(0(1(2(2(2(1(0(1(1(1(0(x1))))))))))))))))))))
0(2(1(1(2(1(2(2(2(0(0(1(0(2(1(1(1(2(2(0(x1)))))))))))))))))))) -> 0(0(0(2(1(0(1(2(1(2(1(1(1(2(0(0(0(1(1(0(x1))))))))))))))))))))
0(2(1(2(0(1(1(1(2(0(1(1(2(1(2(0(2(0(2(0(x1)))))))))))))))))))) -> 0(1(2(1(1(0(1(1(2(1(2(0(1(0(1(2(2(0(2(2(x1))))))))))))))))))))
0(2(1(2(0(1(1(2(2(0(1(1(0(1(2(1(0(0(0(1(x1)))))))))))))))))))) -> 0(0(1(0(0(2(0(2(0(1(2(1(0(0(0(1(0(0(2(1(x1))))))))))))))))))))
0(2(2(0(0(2(1(0(2(0(2(0(2(0(1(1(2(2(1(0(x1)))))))))))))))))))) -> 0(2(0(0(0(0(0(0(1(2(0(1(2(2(0(1(0(1(0(1(x1))))))))))))))))))))
0(2(2(0(1(2(2(0(1(1(2(1(1(2(2(2(1(0(1(2(x1)))))))))))))))))))) -> 0(2(1(0(0(0(2(0(1(1(1(0(1(0(2(2(1(1(2(2(x1))))))))))))))))))))
0(2(2(0(2(0(1(1(2(2(2(0(2(2(0(2(0(1(2(0(x1)))))))))))))))))))) -> 0(1(1(0(0(0(2(0(0(1(1(1(0(1(1(0(0(0(0(2(x1))))))))))))))))))))
0(2(2(1(0(0(1(1(2(0(2(2(0(1(1(2(2(1(0(0(x1)))))))))))))))))))) -> 0(2(1(0(2(2(0(0(0(0(0(1(2(1(0(1(1(2(1(1(x1))))))))))))))))))))
0(2(2(1(1(1(1(0(0(1(0(1(0(2(2(1(1(2(2(1(x1)))))))))))))))))))) -> 0(2(2(2(0(2(2(1(1(2(2(2(2(0(2(0(0(2(0(2(x1))))))))))))))))))))
0(2(2(1(1(2(0(1(0(1(0(2(0(1(0(1(0(2(1(1(x1)))))))))))))))))))) -> 0(1(1(0(0(1(1(0(0(2(2(1(1(2(2(0(0(0(2(0(x1))))))))))))))))))))
0(2(2(1(1(2(2(1(0(2(1(2(1(1(2(2(2(0(2(0(x1)))))))))))))))))))) -> 0(2(1(2(2(2(1(0(0(1(0(0(0(1(2(1(1(2(2(1(x1))))))))))))))))))))
0(2(2(1(2(0(1(1(0(0(1(1(2(0(1(1(0(2(2(2(x1)))))))))))))))))))) -> 0(2(2(2(0(2(0(0(2(2(0(0(2(1(1(0(0(2(1(1(x1))))))))))))))))))))
0(2(2(2(2(1(0(0(0(2(2(1(0(1(1(1(0(1(2(2(x1)))))))))))))))))))) -> 0(0(2(2(0(2(0(2(0(1(1(2(0(0(0(0(2(1(1(2(x1))))))))))))))))))))
1(2(2(0(2(0(2(1(2(1(2(1(0(0(1(0(0(2(0(1(x1)))))))))))))))))))) -> 1(0(1(2(0(1(0(0(1(0(0(0(2(1(0(0(1(0(0(2(x1))))))))))))))))))))
encArg(2(x_1)) -> 2(encArg(x_1))
encArg(cons_0(x_1)) -> 0(encArg(x_1))
encArg(cons_1(x_1)) -> 1(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 :: 2:cons_0:cons_1 -> 2:cons_0:cons_1
1 :: 2:cons_0:cons_1 -> 2:cons_0:cons_1
2 :: 2:cons_0:cons_1 -> 2:cons_0:cons_1
encArg :: 2:cons_0:cons_1 -> 2:cons_0:cons_1
cons_0 :: 2:cons_0:cons_1 -> 2:cons_0:cons_1
cons_1 :: 2:cons_0:cons_1 -> 2:cons_0:cons_1
encode_0 :: 2:cons_0:cons_1 -> 2:cons_0:cons_1
encode_1 :: 2:cons_0:cons_1 -> 2:cons_0:cons_1
encode_2 :: 2:cons_0:cons_1 -> 2:cons_0:cons_1
hole_2:cons_0:cons_11_3 :: 2:cons_0:cons_1
gen_2:cons_0:cons_12_3 :: Nat -> 2:cons_0:cons_1

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

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

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

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

(12)
Obligation:
TRS:
Rules:
0(0(0(0(1(2(0(2(0(1(2(2(1(1(1(1(1(0(2(2(x1)))))))))))))))))))) -> 0(2(0(0(1(0(1(0(0(2(0(0(2(0(2(1(1(0(1(2(x1))))))))))))))))))))
0(0(0(1(0(2(0(2(1(2(0(1(1(2(1(1(2(2(1(1(x1)))))))))))))))))))) -> 0(1(2(0(2(2(1(1(1(0(1(0(2(1(2(1(2(1(2(1(x1))))))))))))))))))))
0(0(0(1(2(0(2(2(1(1(0(1(0(1(2(0(1(1(1(1(x1)))))))))))))))))))) -> 0(1(2(0(1(2(1(0(1(0(1(0(2(0(1(1(1(1(0(2(x1))))))))))))))))))))
0(0(0(2(0(0(0(2(1(2(2(1(1(0(0(0(1(1(1(2(x1)))))))))))))))))))) -> 0(2(2(1(0(1(0(2(2(2(1(1(2(0(0(0(0(0(1(2(x1))))))))))))))))))))
0(0(0(2(1(2(2(0(1(1(0(0(1(1(2(1(0(2(2(1(x1)))))))))))))))))))) -> 0(2(0(1(1(2(0(1(2(1(2(1(0(2(2(0(2(0(1(0(x1))))))))))))))))))))
0(0(0(2(2(1(1(2(2(0(0(2(1(2(0(1(1(0(2(2(x1)))))))))))))))))))) -> 0(2(2(2(1(0(0(2(1(2(1(2(1(2(1(1(1(2(0(2(x1))))))))))))))))))))
0(0(1(0(0(1(1(2(1(1(2(2(1(1(2(2(1(1(0(2(x1)))))))))))))))))))) -> 0(1(1(0(0(2(0(0(2(0(2(1(1(1(1(1(0(2(0(2(x1))))))))))))))))))))
0(0(1(0(1(0(2(0(0(1(2(1(1(2(2(2(1(0(2(1(x1)))))))))))))))))))) -> 0(2(1(0(1(0(0(0(2(0(0(1(2(0(2(1(0(0(2(0(x1))))))))))))))))))))
0(0(1(0(1(2(2(2(1(1(2(1(2(1(0(2(0(1(2(0(x1)))))))))))))))))))) -> 0(2(0(1(1(2(2(2(1(0(0(2(1(0(0(0(0(2(0(2(x1))))))))))))))))))))
0(0(1(0(2(0(2(1(1(1(0(0(0(2(2(1(2(1(1(2(x1)))))))))))))))))))) -> 0(2(0(0(2(2(0(2(1(1(2(1(2(1(0(2(2(0(2(0(x1))))))))))))))))))))
0(0(1(0(2(1(2(2(2(2(0(1(2(0(1(1(2(2(0(2(x1)))))))))))))))))))) -> 0(0(2(1(1(0(0(2(2(2(0(1(2(2(0(1(2(2(0(2(x1))))))))))))))))))))
0(0(1(0(2(2(1(2(0(0(1(1(2(2(2(1(1(2(1(1(x1)))))))))))))))))))) -> 0(2(0(2(2(0(0(1(2(0(2(0(0(1(1(0(0(2(1(1(x1))))))))))))))))))))
0(0(1(0(2(2(2(2(1(0(2(1(0(2(2(0(1(1(2(1(x1)))))))))))))))))))) -> 0(0(1(0(0(0(0(2(2(2(2(0(0(0(1(0(0(2(1(1(x1))))))))))))))))))))
0(0(1(1(0(2(2(1(1(1(1(1(2(0(2(1(0(2(2(1(x1)))))))))))))))))))) -> 0(2(0(1(1(0(1(2(2(2(0(0(2(2(2(0(2(0(0(0(x1))))))))))))))))))))
0(0(1(1(1(1(0(2(2(2(2(1(1(2(2(2(1(1(2(1(x1)))))))))))))))))))) -> 0(1(0(0(1(1(2(2(0(2(2(0(2(0(0(0(2(2(1(1(x1))))))))))))))))))))
0(0(1(2(0(1(2(0(1(1(1(0(2(2(1(0(2(1(1(2(x1)))))))))))))))))))) -> 0(1(2(2(0(2(2(2(1(0(1(2(2(1(0(0(1(1(1(2(x1))))))))))))))))))))
0(0(1(2(2(0(1(1(2(0(0(2(2(1(0(2(1(2(1(0(x1)))))))))))))))))))) -> 0(2(2(0(2(0(2(1(0(2(0(0(2(2(1(0(0(0(2(0(x1))))))))))))))))))))
0(0(1(2(2(1(0(1(1(1(0(0(1(2(1(2(2(2(0(2(x1)))))))))))))))))))) -> 0(1(1(2(2(0(0(2(0(2(2(0(0(1(0(0(0(0(0(0(x1))))))))))))))))))))
0(0(1(2(2(1(1(0(2(2(2(0(1(1(1(1(0(1(2(1(x1)))))))))))))))))))) -> 0(1(2(2(0(1(1(1(2(0(2(0(0(1(2(0(2(1(2(0(x1))))))))))))))))))))
0(0(2(0(0(0(2(1(2(2(2(1(1(1(0(2(1(1(0(0(x1)))))))))))))))))))) -> 0(2(0(1(2(0(1(2(0(1(0(1(2(2(1(2(1(0(0(0(x1))))))))))))))))))))
0(0(2(0(1(1(2(0(2(1(0(2(2(1(1(0(1(2(0(1(x1)))))))))))))))))))) -> 0(1(2(0(2(0(1(0(1(2(1(0(0(2(2(1(0(1(0(1(x1))))))))))))))))))))
0(0(2(0(1(2(2(0(0(1(2(2(0(0(2(2(1(1(0(1(x1)))))))))))))))))))) -> 0(0(1(2(0(0(1(1(0(2(0(2(0(0(0(0(0(2(0(1(x1))))))))))))))))))))
0(0(2(0(2(1(1(2(1(1(1(1(1(0(1(1(1(2(2(1(x1)))))))))))))))))))) -> 0(2(0(0(2(1(1(2(2(0(2(0(1(2(2(2(1(1(1(2(x1))))))))))))))))))))
0(0(2(1(0(1(0(0(2(0(1(1(0(2(0(2(2(2(2(0(x1)))))))))))))))))))) -> 0(2(2(0(0(0(2(1(0(0(0(1(1(2(0(1(1(0(0(0(x1))))))))))))))))))))
0(0(2(1(1(0(2(2(1(1(1(1(2(2(0(0(2(1(0(0(x1)))))))))))))))))))) -> 0(2(2(1(1(1(2(1(0(1(2(1(2(1(1(2(1(0(0(0(x1))))))))))))))))))))
0(0(2(2(0(0(1(0(2(2(1(1(2(2(1(0(2(2(0(1(x1)))))))))))))))))))) -> 0(2(0(2(2(1(0(0(2(2(1(2(1(1(0(0(2(0(2(1(x1))))))))))))))))))))
0(0(2(2(0(1(0(2(1(2(1(1(2(2(2(1(1(2(0(2(x1)))))))))))))))))))) -> 0(0(1(2(1(2(1(2(1(2(0(1(2(1(0(0(0(1(2(0(x1))))))))))))))))))))
0(0(2(2(1(1(1(0(1(0(1(0(1(2(2(2(1(2(0(0(x1)))))))))))))))))))) -> 0(1(0(2(0(2(2(1(0(1(0(2(1(2(1(0(1(1(1(2(x1))))))))))))))))))))
0(0(2(2(1(2(0(1(2(2(0(1(0(0(0(2(2(0(0(0(x1)))))))))))))))))))) -> 0(0(0(0(2(0(0(0(2(2(2(0(2(0(1(0(1(0(0(0(x1))))))))))))))))))))
0(0(2(2(2(0(1(0(1(1(1(0(1(0(0(0(1(1(2(0(x1)))))))))))))))))))) -> 0(2(0(2(2(2(2(0(2(2(1(0(0(0(0(0(0(2(0(0(x1))))))))))))))))))))
0(1(0(0(1(0(2(1(2(2(1(2(2(1(1(1(1(2(2(1(x1)))))))))))))))))))) -> 0(0(1(1(1(0(1(0(0(0(2(2(1(1(2(0(0(2(1(2(x1))))))))))))))))))))
0(1(0(0(1(1(1(0(1(1(2(1(1(1(2(2(1(2(2(1(x1)))))))))))))))))))) -> 0(0(1(1(1(2(1(0(2(0(0(0(1(2(2(0(0(1(1(1(x1))))))))))))))))))))
0(1(0(0(2(2(0(1(2(2(1(2(1(0(1(2(2(2(1(0(x1)))))))))))))))))))) -> 0(0(2(2(0(2(2(2(1(0(2(1(2(0(2(2(0(0(2(2(x1))))))))))))))))))))
0(1(0(0(2(2(0(2(2(1(2(1(2(1(1(0(0(2(2(2(x1)))))))))))))))))))) -> 0(2(0(1(2(1(0(1(0(0(0(0(0(0(2(0(1(0(2(1(x1))))))))))))))))))))
0(1(0(1(0(1(1(0(0(0(1(0(2(1(1(2(0(1(0(1(x1)))))))))))))))))))) -> 0(0(2(1(1(0(0(2(0(2(1(0(1(1(0(2(2(0(1(2(x1))))))))))))))))))))
0(1(0(1(1(1(1(2(0(2(2(2(2(2(2(1(0(2(0(1(x1)))))))))))))))))))) -> 0(0(0(2(2(1(0(0(1(2(1(0(2(2(1(0(0(2(2(1(x1))))))))))))))))))))
0(1(0(1(1(2(1(0(0(0(2(2(2(1(2(1(2(1(0(2(x1)))))))))))))))))))) -> 0(1(0(0(2(2(1(2(1(0(1(0(0(0(2(0(0(2(1(2(x1))))))))))))))))))))
0(1(0(1(1(2(2(0(0(0(2(2(2(1(1(0(1(1(1(1(x1)))))))))))))))))))) -> 0(0(2(2(2(2(2(2(1(1(0(1(2(2(0(1(2(0(2(1(x1))))))))))))))))))))
0(1(0(1(1(2(2(1(0(1(2(1(1(0(1(2(0(2(0(2(x1)))))))))))))))))))) -> 0(2(0(1(0(1(1(0(0(1(0(2(0(0(0(2(2(0(2(0(x1))))))))))))))))))))
0(1(0(1(2(1(1(1(0(0(1(1(2(2(2(0(2(0(1(2(x1)))))))))))))))))))) -> 0(2(1(1(2(1(0(2(0(1(1(0(2(0(1(0(2(2(0(2(x1))))))))))))))))))))
0(1(0(1(2(1(1(1(2(2(0(2(1(1(2(1(2(0(2(1(x1)))))))))))))))))))) -> 0(2(1(2(0(0(2(1(2(2(1(2(1(2(0(2(0(0(2(1(x1))))))))))))))))))))
0(1(0(2(0(0(1(2(2(2(1(2(2(2(0(0(0(1(2(2(x1)))))))))))))))))))) -> 0(1(0(1(1(2(1(0(0(1(0(0(2(2(2(1(0(2(0(0(x1))))))))))))))))))))
0(1(0(2(0(2(1(1(1(0(1(2(2(0(2(0(1(1(2(0(x1)))))))))))))))))))) -> 0(0(1(2(0(0(0(0(0(0(1(1(0(2(0(2(1(2(1(0(x1))))))))))))))))))))
0(1(0(2(1(1(1(0(2(2(1(1(1(1(2(0(2(1(0(0(x1)))))))))))))))))))) -> 0(2(1(0(2(0(0(1(2(2(0(0(0(1(1(1(1(0(2(2(x1))))))))))))))))))))
0(1(0(2(2(1(1(0(1(0(2(2(1(0(2(0(1(0(1(1(x1)))))))))))))))))))) -> 0(1(2(0(0(2(2(0(0(0(0(2(1(2(1(0(1(2(0(2(x1))))))))))))))))))))
0(1(0(2(2(2(1(2(1(1(1(2(1(0(2(1(1(1(0(1(x1)))))))))))))))))))) -> 0(0(1(2(2(2(1(0(0(1(1(2(1(1(2(0(0(1(2(0(x1))))))))))))))))))))
0(1(1(0(0(2(0(2(1(1(1(2(1(2(1(0(0(1(1(1(x1)))))))))))))))))))) -> 0(1(0(0(2(2(0(0(2(2(0(2(0(0(1(2(1(0(1(2(x1))))))))))))))))))))
0(1(1(0(1(0(2(1(1(2(2(0(2(0(2(0(2(2(0(1(x1)))))))))))))))))))) -> 0(2(0(2(1(0(0(1(2(2(1(2(2(1(2(2(1(2(2(0(x1))))))))))))))))))))
0(1(1(0(1(1(1(1(2(0(2(0(2(2(2(0(0(0(2(1(x1)))))))))))))))))))) -> 0(1(0(1(2(2(2(0(2(2(1(1(2(2(2(0(0(0(1(0(x1))))))))))))))))))))
0(1(1(0(1(2(1(2(0(2(2(1(0(0(2(0(1(0(1(1(x1)))))))))))))))))))) -> 0(0(0(1(2(0(2(2(2(0(1(0(1(2(1(1(1(0(2(0(x1))))))))))))))))))))
0(1(1(0(2(0(2(1(2(1(2(2(0(2(1(2(2(1(1(0(x1)))))))))))))))))))) -> 0(2(0(1(1(1(0(1(0(1(2(0(2(2(1(0(2(0(0(2(x1))))))))))))))))))))
0(1(1(0(2(1(1(0(0(1(1(1(2(2(2(0(2(0(0(2(x1)))))))))))))))))))) -> 0(1(2(1(0(2(1(0(1(2(2(2(0(0(2(0(2(2(1(2(x1))))))))))))))))))))
0(1(1(0(2(1(2(1(1(0(1(1(2(1(0(1(0(1(1(1(x1)))))))))))))))))))) -> 0(1(1(1(2(1(2(2(0(1(1(0(2(2(0(0(2(1(0(2(x1))))))))))))))))))))
0(1(1(0(2(2(0(1(2(2(2(0(2(2(1(2(1(2(1(0(x1)))))))))))))))))))) -> 0(0(2(0(0(2(0(2(1(0(2(2(2(0(0(0(2(1(1(2(x1))))))))))))))))))))
0(1(1(1(1(1(1(2(2(0(2(0(2(2(0(2(1(0(1(0(x1)))))))))))))))))))) -> 0(2(0(1(1(0(2(0(0(1(1(2(0(1(0(0(1(0(2(0(x1))))))))))))))))))))
0(1(1(1(1(2(0(0(0(2(2(2(2(1(0(2(2(2(0(1(x1)))))))))))))))))))) -> 0(2(0(0(0(1(2(0(1(2(2(2(1(2(1(1(1(2(1(2(x1))))))))))))))))))))
0(1(1(1(2(2(1(2(1(1(1(0(0(1(1(1(2(1(1(0(x1)))))))))))))))))))) -> 0(0(1(0(2(0(1(1(1(2(0(2(1(2(2(0(2(1(2(1(x1))))))))))))))))))))
0(1(1(2(0(1(0(0(1(2(0(2(1(0(0(0(0(2(0(1(x1)))))))))))))))))))) -> 0(0(2(1(2(2(2(1(2(1(0(0(0(2(2(1(0(1(2(0(x1))))))))))))))))))))
0(1(1(2(0(2(0(2(2(1(1(2(0(1(2(2(0(1(0(0(x1)))))))))))))))))))) -> 0(1(2(0(0(0(2(1(2(0(1(2(2(2(2(0(1(1(0(1(x1))))))))))))))))))))
0(1(1(2(1(1(1(1(0(0(0(0(1(1(0(1(0(1(1(0(x1)))))))))))))))))))) -> 0(0(0(1(0(1(0(1(1(1(2(0(1(2(2(0(2(2(0(2(x1))))))))))))))))))))
0(1(1(2(2(2(2(1(0(2(0(0(1(2(2(1(2(2(2(2(x1)))))))))))))))))))) -> 0(1(0(0(2(0(0(1(2(1(2(0(1(2(2(1(0(2(0(2(x1))))))))))))))))))))
0(1(2(0(0(1(2(0(2(0(0(1(0(2(0(0(2(1(2(0(x1)))))))))))))))))))) -> 0(2(1(2(0(0(0(2(0(0(2(1(2(2(0(2(2(0(0(0(x1))))))))))))))))))))
0(1(2(0(0(2(1(1(0(2(1(0(1(1(1(0(1(1(0(0(x1)))))))))))))))))))) -> 0(0(0(2(0(1(1(2(2(0(2(0(0(2(1(0(0(2(1(1(x1))))))))))))))))))))
0(1(2(0(1(0(2(0(2(1(2(2(1(1(1(2(0(1(2(1(x1)))))))))))))))))))) -> 0(0(2(2(2(0(0(0(1(0(0(0(0(2(1(2(1(1(2(1(x1))))))))))))))))))))
0(1(2(0(2(0(0(2(1(1(1(2(2(0(0(0(2(0(0(0(x1)))))))))))))))))))) -> 0(1(0(0(2(1(0(1(1(0(1(2(2(0(1(2(1(0(1(0(x1))))))))))))))))))))
0(1(2(1(0(1(2(2(1(1(0(0(1(1(2(2(1(0(1(1(x1)))))))))))))))))))) -> 0(2(2(2(0(2(0(2(0(1(2(1(2(2(2(1(0(0(1(0(x1))))))))))))))))))))
0(1(2(2(0(1(1(1(2(1(0(0(2(0(1(2(2(0(1(2(x1)))))))))))))))))))) -> 0(2(0(0(2(0(2(2(1(0(1(1(1(0(2(0(1(2(0(0(x1))))))))))))))))))))
0(1(2(2(2(0(0(2(0(1(2(1(0(1(0(0(2(0(0(2(x1)))))))))))))))))))) -> 0(0(0(1(2(0(2(1(2(2(0(0(0(1(0(1(0(0(1(2(x1))))))))))))))))))))
0(1(2(2(2(2(2(2(2(1(0(2(2(1(1(2(1(2(1(1(x1)))))))))))))))))))) -> 0(2(1(0(2(1(0(1(2(0(0(0(1(2(0(0(0(0(0(1(x1))))))))))))))))))))
0(2(0(0(0(2(1(1(0(2(2(1(1(0(0(0(0(1(0(0(x1)))))))))))))))))))) -> 0(0(2(1(0(0(0(2(2(2(2(0(0(2(0(2(1(2(1(2(x1))))))))))))))))))))
0(2(0(0(1(0(2(1(0(2(2(0(1(0(2(1(2(1(1(2(x1)))))))))))))))))))) -> 0(2(1(0(2(1(0(2(1(2(1(0(1(2(0(1(0(0(0(0(x1))))))))))))))))))))
0(2(0(1(1(0(1(1(1(0(1(0(0(2(1(0(2(2(2(0(x1)))))))))))))))))))) -> 0(2(2(2(0(0(2(0(0(2(0(1(2(1(2(2(1(2(1(2(x1))))))))))))))))))))
0(2(0(1(1(1(0(1(2(2(0(2(0(2(0(2(1(2(0(1(x1)))))))))))))))))))) -> 0(2(2(0(1(2(2(2(2(1(0(2(1(2(0(0(2(2(2(1(x1))))))))))))))))))))
0(2(0(1(2(1(1(1(1(2(0(2(1(2(0(1(2(2(0(1(x1)))))))))))))))))))) -> 0(1(1(1(1(2(1(0(0(1(1(0(2(1(0(0(2(0(0(1(x1))))))))))))))))))))
0(2(0(2(0(2(0(2(1(1(0(2(1(1(1(1(2(0(2(0(x1)))))))))))))))))))) -> 0(1(0(2(1(2(1(1(0(0(2(2(2(0(0(1(2(2(0(0(x1))))))))))))))))))))
0(2(0(2(0(2(1(2(2(0(1(1(1(2(1(1(0(2(0(1(x1)))))))))))))))))))) -> 0(2(0(0(1(1(1(0(2(1(1(2(0(0(0(2(2(1(1(0(x1))))))))))))))))))))
0(2(0(2(1(0(0(1(2(0(2(0(1(0(1(1(1(2(2(1(x1)))))))))))))))))))) -> 0(0(1(0(1(0(1(1(2(1(0(0(0(1(2(2(2(0(1(0(x1))))))))))))))))))))
0(2(0(2(1(1(2(0(0(0(2(1(2(1(2(0(0(1(2(0(x1)))))))))))))))))))) -> 0(2(2(0(1(2(0(1(0(0(0(0(2(1(0(0(0(0(1(2(x1))))))))))))))))))))
0(2(0(2(1(2(1(2(2(0(2(1(1(1(2(1(1(1(1(1(x1)))))))))))))))))))) -> 0(1(1(1(0(2(1(0(1(2(1(0(0(0(2(1(1(2(0(1(x1))))))))))))))))))))
0(2(1(0(1(2(2(0(0(1(2(0(2(2(2(2(2(2(1(1(x1)))))))))))))))))))) -> 0(0(0(1(2(2(0(0(0(1(2(0(0(0(2(2(0(1(0(2(x1))))))))))))))))))))
0(2(1(1(0(2(1(1(1(1(2(2(0(1(1(1(2(2(1(1(x1)))))))))))))))))))) -> 0(0(2(0(0(1(0(2(2(1(0(1(1(0(0(2(0(2(2(1(x1))))))))))))))))))))
0(2(1(1(1(0(0(1(2(1(2(1(1(2(0(2(1(0(1(2(x1)))))))))))))))))))) -> 0(1(0(1(0(2(0(0(0(1(1(1(2(0(0(0(1(2(2(2(x1))))))))))))))))))))
0(2(1(1(1(0(2(1(1(0(1(0(2(2(0(0(2(0(2(1(x1)))))))))))))))))))) -> 0(1(0(1(2(2(2(1(1(0(2(2(1(2(0(0(0(0(2(1(x1))))))))))))))))))))
0(2(1(1(1(1(0(0(0(0(2(1(2(0(0(2(1(0(2(1(x1)))))))))))))))))))) -> 0(0(0(1(0(1(1(2(0(2(0(0(2(2(2(2(1(0(2(1(x1))))))))))))))))))))
0(2(1(1(1(2(2(0(0(0(2(1(0(1(2(2(1(0(2(0(x1)))))))))))))))))))) -> 0(1(0(1(0(0(0(1(0(2(1(1(0(0(2(1(2(0(2(1(x1))))))))))))))))))))
0(2(1(1(2(0(2(2(2(0(1(2(0(2(0(2(2(0(0(1(x1)))))))))))))))))))) -> 0(0(2(1(2(0(0(0(2(0(1(2(2(2(1(0(1(1(1(0(x1))))))))))))))))))))
0(2(1(1(2(1(2(2(2(0(0(1(0(2(1(1(1(2(2(0(x1)))))))))))))))))))) -> 0(0(0(2(1(0(1(2(1(2(1(1(1(2(0(0(0(1(1(0(x1))))))))))))))))))))
0(2(1(2(0(1(1(1(2(0(1(1(2(1(2(0(2(0(2(0(x1)))))))))))))))))))) -> 0(1(2(1(1(0(1(1(2(1(2(0(1(0(1(2(2(0(2(2(x1))))))))))))))))))))
0(2(1(2(0(1(1(2(2(0(1(1(0(1(2(1(0(0(0(1(x1)))))))))))))))))))) -> 0(0(1(0(0(2(0(2(0(1(2(1(0(0(0(1(0(0(2(1(x1))))))))))))))))))))
0(2(2(0(0(2(1(0(2(0(2(0(2(0(1(1(2(2(1(0(x1)))))))))))))))))))) -> 0(2(0(0(0(0(0(0(1(2(0(1(2(2(0(1(0(1(0(1(x1))))))))))))))))))))
0(2(2(0(1(2(2(0(1(1(2(1(1(2(2(2(1(0(1(2(x1)))))))))))))))))))) -> 0(2(1(0(0(0(2(0(1(1(1(0(1(0(2(2(1(1(2(2(x1))))))))))))))))))))
0(2(2(0(2(0(1(1(2(2(2(0(2(2(0(2(0(1(2(0(x1)))))))))))))))))))) -> 0(1(1(0(0(0(2(0(0(1(1(1(0(1(1(0(0(0(0(2(x1))))))))))))))))))))
0(2(2(1(0(0(1(1(2(0(2(2(0(1(1(2(2(1(0(0(x1)))))))))))))))))))) -> 0(2(1(0(2(2(0(0(0(0(0(1(2(1(0(1(1(2(1(1(x1))))))))))))))))))))
0(2(2(1(1(1(1(0(0(1(0(1(0(2(2(1(1(2(2(1(x1)))))))))))))))))))) -> 0(2(2(2(0(2(2(1(1(2(2(2(2(0(2(0(0(2(0(2(x1))))))))))))))))))))
0(2(2(1(1(2(0(1(0(1(0(2(0(1(0(1(0(2(1(1(x1)))))))))))))))))))) -> 0(1(1(0(0(1(1(0(0(2(2(1(1(2(2(0(0(0(2(0(x1))))))))))))))))))))
0(2(2(1(1(2(2(1(0(2(1(2(1(1(2(2(2(0(2(0(x1)))))))))))))))))))) -> 0(2(1(2(2(2(1(0(0(1(0(0(0(1(2(1(1(2(2(1(x1))))))))))))))))))))
0(2(2(1(2(0(1(1(0(0(1(1(2(0(1(1(0(2(2(2(x1)))))))))))))))))))) -> 0(2(2(2(0(2(0(0(2(2(0(0(2(1(1(0(0(2(1(1(x1))))))))))))))))))))
0(2(2(2(2(1(0(0(0(2(2(1(0(1(1(1(0(1(2(2(x1)))))))))))))))))))) -> 0(0(2(2(0(2(0(2(0(1(1(2(0(0(0(0(2(1(1(2(x1))))))))))))))))))))
1(2(2(0(2(0(2(1(2(1(2(1(0(0(1(0(0(2(0(1(x1)))))))))))))))))))) -> 1(0(1(2(0(1(0(0(1(0(0(0(2(1(0(0(1(0(0(2(x1))))))))))))))))))))
encArg(2(x_1)) -> 2(encArg(x_1))
encArg(cons_0(x_1)) -> 0(encArg(x_1))
encArg(cons_1(x_1)) -> 1(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 :: 2:cons_0:cons_1 -> 2:cons_0:cons_1
1 :: 2:cons_0:cons_1 -> 2:cons_0:cons_1
2 :: 2:cons_0:cons_1 -> 2:cons_0:cons_1
encArg :: 2:cons_0:cons_1 -> 2:cons_0:cons_1
cons_0 :: 2:cons_0:cons_1 -> 2:cons_0:cons_1
cons_1 :: 2:cons_0:cons_1 -> 2:cons_0:cons_1
encode_0 :: 2:cons_0:cons_1 -> 2:cons_0:cons_1
encode_1 :: 2:cons_0:cons_1 -> 2:cons_0:cons_1
encode_2 :: 2:cons_0:cons_1 -> 2:cons_0:cons_1
hole_2:cons_0:cons_11_3 :: 2:cons_0:cons_1
gen_2:cons_0:cons_12_3 :: Nat -> 2:cons_0:cons_1


Generator Equations:
gen_2:cons_0:cons_12_3(0) <=> hole_2:cons_0:cons_11_3
gen_2:cons_0:cons_12_3(+(x, 1)) <=> 2(gen_2:cons_0:cons_12_3(x))


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

They will be analysed ascendingly in the following order:
0 = 1
0 < encArg
1 < 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(0(1(2(0(2(0(1(2(2(1(1(1(1(1(0(2(2(x1)))))))))))))))))))) -> 0(2(0(0(1(0(1(0(0(2(0(0(2(0(2(1(1(0(1(2(x1))))))))))))))))))))
   0(0(0(1(0(2(0(2(1(2(0(1(1(2(1(1(2(2(1(1(x1)))))))))))))))))))) -> 0(1(2(0(2(2(1(1(1(0(1(0(2(1(2(1(2(1(2(1(x1))))))))))))))))))))
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   0(0(0(2(0(0(0(2(1(2(2(1(1(0(0(0(1(1(1(2(x1)))))))))))))))))))) -> 0(2(2(1(0(1(0(2(2(2(1(1(2(0(0(0(0(0(1(2(x1))))))))))))))))))))
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   0(2(1(1(2(0(2(2(2(0(1(2(0(2(0(2(2(0(0(1(x1)))))))))))))))))))) -> 0(0(2(1(2(0(0(0(2(0(1(2(2(2(1(0(1(1(1(0(x1))))))))))))))))))))
   0(2(1(1(2(1(2(2(2(0(0(1(0(2(1(1(1(2(2(0(x1)))))))))))))))))))) -> 0(0(0(2(1(0(1(2(1(2(1(1(1(2(0(0(0(1(1(0(x1))))))))))))))))))))
   0(2(1(2(0(1(1(1(2(0(1(1(2(1(2(0(2(0(2(0(x1)))))))))))))))))))) -> 0(1(2(1(1(0(1(1(2(1(2(0(1(0(1(2(2(0(2(2(x1))))))))))))))))))))
   0(2(1(2(0(1(1(2(2(0(1(1(0(1(2(1(0(0(0(1(x1)))))))))))))))))))) -> 0(0(1(0(0(2(0(2(0(1(2(1(0(0(0(1(0(0(2(1(x1))))))))))))))))))))
   0(2(2(0(0(2(1(0(2(0(2(0(2(0(1(1(2(2(1(0(x1)))))))))))))))))))) -> 0(2(0(0(0(0(0(0(1(2(0(1(2(2(0(1(0(1(0(1(x1))))))))))))))))))))
   0(2(2(0(1(2(2(0(1(1(2(1(1(2(2(2(1(0(1(2(x1)))))))))))))))))))) -> 0(2(1(0(0(0(2(0(1(1(1(0(1(0(2(2(1(1(2(2(x1))))))))))))))))))))
   0(2(2(0(2(0(1(1(2(2(2(0(2(2(0(2(0(1(2(0(x1)))))))))))))))))))) -> 0(1(1(0(0(0(2(0(0(1(1(1(0(1(1(0(0(0(0(2(x1))))))))))))))))))))
   0(2(2(1(0(0(1(1(2(0(2(2(0(1(1(2(2(1(0(0(x1)))))))))))))))))))) -> 0(2(1(0(2(2(0(0(0(0(0(1(2(1(0(1(1(2(1(1(x1))))))))))))))))))))
   0(2(2(1(1(1(1(0(0(1(0(1(0(2(2(1(1(2(2(1(x1)))))))))))))))))))) -> 0(2(2(2(0(2(2(1(1(2(2(2(2(0(2(0(0(2(0(2(x1))))))))))))))))))))
   0(2(2(1(1(2(0(1(0(1(0(2(0(1(0(1(0(2(1(1(x1)))))))))))))))))))) -> 0(1(1(0(0(1(1(0(0(2(2(1(1(2(2(0(0(0(2(0(x1))))))))))))))))))))
   0(2(2(1(1(2(2(1(0(2(1(2(1(1(2(2(2(0(2(0(x1)))))))))))))))))))) -> 0(2(1(2(2(2(1(0(0(1(0(0(0(1(2(1(1(2(2(1(x1))))))))))))))))))))
   0(2(2(1(2(0(1(1(0(0(1(1(2(0(1(1(0(2(2(2(x1)))))))))))))))))))) -> 0(2(2(2(0(2(0(0(2(2(0(0(2(1(1(0(0(2(1(1(x1))))))))))))))))))))
   0(2(2(2(2(1(0(0(0(2(2(1(0(1(1(1(0(1(2(2(x1)))))))))))))))))))) -> 0(0(2(2(0(2(0(2(0(1(1(2(0(0(0(0(2(1(1(2(x1))))))))))))))))))))
   1(2(2(0(2(0(2(1(2(1(2(1(0(0(1(0(0(2(0(1(x1)))))))))))))))))))) -> 1(0(1(2(0(1(0(0(1(0(0(0(2(1(0(0(1(0(0(2(x1))))))))))))))))))))
   encArg(2(x_1)) -> 2(encArg(x_1))
   encArg(cons_0(x_1)) -> 0(encArg(x_1))
   encArg(cons_1(x_1)) -> 1(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_0(c_1(c_0(2(2(c_1(2(c_0(c_0(c_1(c_1(2(2(2(c_1(c_1(2(c_1(c_1(x1)))))))))))))))))))) -> 0(2(0(2(2(0(0(1(2(0(2(0(0(1(1(0(0(2(1(1(x1))))))))))))))))))))
   0(c_1(c_0(c_1(2(c_1(c_1(c_1(c_0(c_0(c_1(c_1(2(2(2(c_0(2(c_0(c_1(2(x1)))))))))))))))))))) -> 0(2(1(1(2(1(0(2(0(1(1(0(2(0(1(0(2(2(0(2(x1))))))))))))))))))))
   0(2(c_1(c_1(c_1(c_0(2(c_1(c_1(c_0(c_1(c_0(2(2(c_0(c_0(2(c_0(2(c_1(x1)))))))))))))))))))) -> 0(1(0(1(2(2(2(1(1(0(2(2(1(2(0(0(0(0(2(1(x1))))))))))))))))))))
   0(c_1(c_0(2(2(c_1(c_1(c_0(c_1(c_0(2(2(c_1(c_0(2(c_0(c_1(c_0(c_1(c_1(x1)))))))))))))))))))) -> 0(1(2(0(0(2(2(0(0(0(0(2(1(2(1(0(1(2(0(2(x1))))))))))))))))))))
   0(2(c_1(2(c_0(c_1(c_1(c_1(2(c_0(c_1(c_1(2(c_1(2(c_0(2(c_0(2(c_0(x1)))))))))))))))))))) -> 0(1(2(1(1(0(1(1(2(1(2(0(1(0(1(2(2(0(2(2(x1))))))))))))))))))))
   0(c_0(c_1(c_0(c_0(c_1(c_1(2(c_1(c_1(2(2(c_1(c_1(2(2(c_1(c_1(c_0(2(x1)))))))))))))))))))) -> 0(1(1(0(0(2(0(0(2(0(2(1(1(1(1(1(0(2(0(2(x1))))))))))))))))))))
   0(c_1(c_1(c_0(c_1(c_0(2(c_1(c_1(2(2(c_0(2(c_0(2(c_0(2(2(c_0(c_1(x1)))))))))))))))))))) -> 0(2(0(2(1(0(0(1(2(2(1(2(2(1(2(2(1(2(2(0(x1))))))))))))))))))))
   0(c_1(c_0(c_1(c_1(c_1(c_1(2(c_0(2(2(2(2(2(2(c_1(c_0(2(c_0(c_1(x1)))))))))))))))))))) -> 0(0(0(2(2(1(0(0(1(2(1(0(2(2(1(0(0(2(2(1(x1))))))))))))))))))))
   0(c_0(2(2(c_0(c_0(c_1(c_0(2(2(c_1(c_1(2(2(c_1(c_0(2(2(c_0(c_1(x1)))))))))))))))))))) -> 0(2(0(2(2(1(0(0(2(2(1(2(1(1(0(0(2(0(2(1(x1))))))))))))))))))))
   0(c_0(2(2(c_1(c_1(c_1(c_0(c_1(c_0(c_1(c_0(c_1(2(2(2(c_1(2(c_0(c_0(x1)))))))))))))))))))) -> 0(1(0(2(0(2(2(1(0(1(0(2(1(2(1(0(1(1(1(2(x1))))))))))))))))))))
   0(c_1(c_1(c_0(c_0(2(c_0(2(c_1(c_1(c_1(2(c_1(2(c_1(c_0(c_0(c_1(c_1(c_1(x1)))))))))))))))))))) -> 0(1(0(0(2(2(0(0(2(2(0(2(0(0(1(2(1(0(1(2(x1))))))))))))))))))))
   0(c_1(c_1(c_0(2(c_1(2(c_1(c_1(c_0(c_1(c_1(2(c_1(c_0(c_1(c_0(c_1(c_1(c_1(x1)))))))))))))))))))) -> 0(1(1(1(2(1(2(2(0(1(1(0(2(2(0(0(2(1(0(2(x1))))))))))))))))))))
   0(2(c_1(c_1(c_1(2(2(c_0(c_0(c_0(2(c_1(c_0(c_1(2(2(c_1(c_0(2(c_0(x1)))))))))))))))))))) -> 0(1(0(1(0(0(0(1(0(2(1(1(0(0(2(1(2(0(2(1(x1))))))))))))))))))))
   0(c_0(c_0(2(c_1(2(2(c_0(c_1(c_1(c_0(c_0(c_1(c_1(2(c_1(c_0(2(2(c_1(x1)))))))))))))))))))) -> 0(2(0(1(1(2(0(1(2(1(2(1(0(2(2(0(2(0(1(0(x1))))))))))))))))))))
   0(c_0(2(c_0(2(c_1(c_1(2(c_1(c_1(c_1(c_1(c_1(c_0(c_1(c_1(c_1(2(2(c_1(x1)))))))))))))))))))) -> 0(2(0(0(2(1(1(2(2(0(2(0(1(2(2(2(1(1(1(2(x1))))))))))))))))))))
   0(2(c_0(c_1(c_1(c_1(c_0(c_1(2(2(c_0(2(c_0(2(c_0(2(c_1(2(c_0(c_1(x1)))))))))))))))))))) -> 0(2(2(0(1(2(2(2(2(1(0(2(1(2(0(0(2(2(2(1(x1))))))))))))))))))))
   0(c_0(2(c_1(c_0(c_1(c_0(c_0(2(c_0(c_1(c_1(c_0(2(c_0(2(2(2(2(c_0(x1)))))))))))))))))))) -> 0(2(2(0(0(0(2(1(0(0(0(1(1(2(0(1(1(0(0(0(x1))))))))))))))))))))
   0(c_1(c_1(c_0(2(2(c_0(c_1(2(2(2(c_0(2(2(c_1(2(c_1(2(c_1(c_0(x1)))))))))))))))))))) -> 0(0(2(0(0(2(0(2(1(0(2(2(2(0(0(0(2(1(1(2(x1))))))))))))))))))))
   0(c_1(c_0(2(c_0(c_0(c_1(2(2(2(c_1(2(2(2(c_0(c_0(c_0(c_1(2(2(x1)))))))))))))))))))) -> 0(1(0(1(1(2(1(0(0(1(0(0(2(2(2(1(0(2(0(0(x1))))))))))))))))))))
   0(c_1(c_1(2(c_1(c_1(c_1(c_1(c_0(c_0(c_0(c_0(c_1(c_1(c_0(c_1(c_0(c_1(c_1(c_0(x1)))))))))))))))))))) -> 0(0(0(1(0(1(0(1(1(1(2(0(1(2(2(0(2(2(0(2(x1))))))))))))))))))))
   0(c_0(2(c_0(c_0(c_0(2(c_1(2(2(2(c_1(c_1(c_1(c_0(2(c_1(c_1(c_0(c_0(x1)))))))))))))))))))) -> 0(2(0(1(2(0(1(2(0(1(0(1(2(2(1(2(1(0(0(0(x1))))))))))))))))))))
   0(c_1(c_0(2(c_1(c_1(c_1(c_0(2(2(c_1(c_1(c_1(c_1(2(c_0(2(c_1(c_0(c_0(x1)))))))))))))))))))) -> 0(2(1(0(2(0(0(1(2(2(0(0(0(1(1(1(1(0(2(2(x1))))))))))))))))))))
   0(2(c_1(c_1(c_0(2(c_1(c_1(c_1(c_1(2(2(c_0(c_1(c_1(c_1(2(2(c_1(c_1(x1)))))))))))))))))))) -> 0(0(2(0(0(1(0(2(2(1(0(1(1(0(0(2(0(2(2(1(x1))))))))))))))))))))
   0(c_0(2(2(2(c_0(c_1(c_0(c_1(c_1(c_1(c_0(c_1(c_0(c_0(c_0(c_1(c_1(2(c_0(x1)))))))))))))))))))) -> 0(2(0(2(2(2(2(0(2(2(1(0(0(0(0(0(0(2(0(0(x1))))))))))))))))))))
   0(2(c_0(2(c_1(c_0(c_0(c_1(2(c_0(2(c_0(c_1(c_0(c_1(c_1(c_1(2(2(c_1(x1)))))))))))))))))))) -> 0(0(1(0(1(0(1(1(2(1(0(0(0(1(2(2(2(0(1(0(x1))))))))))))))))))))
   0(2(c_0(2(c_1(2(c_1(2(2(c_0(2(c_1(c_1(c_1(2(c_1(c_1(c_1(c_1(c_1(x1)))))))))))))))))))) -> 0(1(1(1(0(2(1(0(1(2(1(0(0(0(2(1(1(2(0(1(x1))))))))))))))))))))
   0(2(c_1(c_0(c_1(2(2(c_0(c_0(c_1(2(c_0(2(2(2(2(2(2(c_1(c_1(x1)))))))))))))))))))) -> 0(0(0(1(2(2(0(0(0(1(2(0(0(0(2(2(0(1(0(2(x1))))))))))))))))))))
   0(2(2(c_1(c_1(2(c_0(c_1(c_0(c_1(c_0(2(c_0(c_1(c_0(c_1(c_0(2(c_1(c_1(x1)))))))))))))))))))) -> 0(1(1(0(0(1(1(0(0(2(2(1(1(2(2(0(0(0(2(0(x1))))))))))))))))))))
   0(2(c_0(c_0(c_0(2(c_1(c_1(c_0(2(2(c_1(c_1(c_0(c_0(c_0(c_0(c_1(c_0(c_0(x1)))))))))))))))))))) -> 0(0(2(1(0(0(0(2(2(2(2(0(0(2(0(2(1(2(1(2(x1))))))))))))))))))))
   0(c_1(c_0(c_0(c_1(c_1(c_1(c_0(c_1(c_1(2(c_1(c_1(c_1(2(2(c_1(2(2(c_1(x1)))))))))))))))))))) -> 0(0(1(1(1(2(1(0(2(0(0(0(1(2(2(0(0(1(1(1(x1))))))))))))))))))))
   0(c_1(c_1(c_1(c_1(c_1(c_1(2(2(c_0(2(c_0(2(2(c_0(2(c_1(c_0(c_1(c_0(x1)))))))))))))))))))) -> 0(2(0(1(1(0(2(0(0(1(1(2(0(1(0(0(1(0(2(0(x1))))))))))))))))))))
   0(c_0(c_1(c_1(c_1(c_1(c_0(2(2(2(2(c_1(c_1(2(2(2(c_1(c_1(2(c_1(x1)))))))))))))))))))) -> 0(1(0(0(1(1(2(2(0(2(2(0(2(0(0(0(2(2(1(1(x1))))))))))))))))))))
   0(c_1(c_0(c_1(c_1(2(2(c_1(c_0(c_1(2(c_1(c_1(c_0(c_1(2(c_0(2(c_0(2(x1)))))))))))))))))))) -> 0(2(0(1(0(1(1(0(0(1(0(2(0(0(0(2(2(0(2(0(x1))))))))))))))))))))
   0(c_1(c_1(2(c_0(c_1(c_0(c_0(c_1(2(c_0(2(c_1(c_0(c_0(c_0(c_0(2(c_0(c_1(x1)))))))))))))))))))) -> 0(0(2(1(2(2(2(1(2(1(0(0(0(2(2(1(0(1(2(0(x1))))))))))))))))))))
   1(2(2(c_0(2(c_0(2(c_1(2(c_1(2(c_1(c_0(c_0(c_1(c_0(c_0(2(c_0(c_1(x1)))))))))))))))))))) -> 1(0(1(2(0(1(0(0(1(0(0(0(2(1(0(0(1(0(0(2(x1))))))))))))))))))))
   0(c_0(2(c_0(c_1(2(2(c_0(c_0(c_1(2(2(c_0(c_0(2(2(c_1(c_1(c_0(c_1(x1)))))))))))))))))))) -> 0(0(1(2(0(0(1(1(0(2(0(2(0(0(0(0(0(2(0(1(x1))))))))))))))))))))
   0(c_1(c_0(c_1(2(c_1(c_1(c_1(2(2(c_0(2(c_1(c_1(2(c_1(2(c_0(2(c_1(x1)))))))))))))))))))) -> 0(2(1(2(0(0(2(1(2(2(1(2(1(2(0(2(0(0(2(1(x1))))))))))))))))))))
   0(c_1(c_0(2(c_0(2(c_1(c_1(c_1(c_0(c_1(2(2(c_0(2(c_0(c_1(c_1(2(c_0(x1)))))))))))))))))))) -> 0(0(1(2(0(0(0(0(0(0(1(1(0(2(0(2(1(2(1(0(x1))))))))))))))))))))
   0(c_1(2(c_0(c_0(c_1(2(c_0(2(c_0(c_0(c_1(c_0(2(c_0(c_0(2(c_1(2(c_0(x1)))))))))))))))))))) -> 0(2(1(2(0(0(0(2(0(0(2(1(2(2(0(2(2(0(0(0(x1))))))))))))))))))))
   0(c_1(2(c_0(2(c_0(c_0(2(c_1(c_1(c_1(2(2(c_0(c_0(c_0(2(c_0(c_0(c_0(x1)))))))))))))))))))) -> 0(1(0(0(2(1(0(1(1(0(1(2(2(0(1(2(1(0(1(0(x1))))))))))))))))))))
   0(c_0(2(2(c_1(2(c_0(c_1(2(2(c_0(c_1(c_0(c_0(c_0(2(2(c_0(c_0(c_0(x1)))))))))))))))))))) -> 0(0(0(0(2(0(0(0(2(2(2(0(2(0(1(0(1(0(0(0(x1))))))))))))))))))))
   0(2(2(c_0(2(c_0(c_1(c_1(2(2(2(c_0(2(2(c_0(2(c_0(c_1(2(c_0(x1)))))))))))))))))))) -> 0(1(1(0(0(0(2(0(0(1(1(1(0(1(1(0(0(0(0(2(x1))))))))))))))))))))
   0(2(c_0(c_1(c_1(c_0(c_1(c_1(c_1(c_0(c_1(c_0(c_0(2(c_1(c_0(2(2(2(c_0(x1)))))))))))))))))))) -> 0(2(2(2(0(0(2(0(0(2(0(1(2(1(2(2(1(2(1(2(x1))))))))))))))))))))
   0(c_1(2(c_0(c_1(c_0(2(c_0(2(c_1(2(2(c_1(c_1(c_1(2(c_0(c_1(2(c_1(x1)))))))))))))))))))) -> 0(0(2(2(2(0(0(0(1(0(0(0(0(2(1(2(1(1(2(1(x1))))))))))))))))))))
   0(c_0(c_0(2(c_0(c_0(c_0(2(c_1(2(2(c_1(c_1(c_0(c_0(c_0(c_1(c_1(c_1(2(x1)))))))))))))))))))) -> 0(2(2(1(0(1(0(2(2(2(1(1(2(0(0(0(0(0(1(2(x1))))))))))))))))))))
   0(c_0(c_1(2(2(c_1(c_0(c_1(c_1(c_1(c_0(c_0(c_1(2(c_1(2(2(2(c_0(2(x1)))))))))))))))))))) -> 0(1(1(2(2(0(0(2(0(2(2(0(0(1(0(0(0(0(0(0(x1))))))))))))))))))))
   0(c_0(c_0(c_0(c_1(2(c_0(2(c_0(c_1(2(2(c_1(c_1(c_1(c_1(c_1(c_0(2(2(x1)))))))))))))))))))) -> 0(2(0(0(1(0(1(0(0(2(0(0(2(0(2(1(1(0(1(2(x1))))))))))))))))))))
   0(c_1(2(2(c_0(c_1(c_1(c_1(2(c_1(c_0(c_0(2(c_0(c_1(2(2(c_0(c_1(2(x1)))))))))))))))))))) -> 0(2(0(0(2(0(2(2(1(0(1(1(1(0(2(0(1(2(0(0(x1))))))))))))))))))))
   0(c_1(c_0(c_0(c_1(c_0(2(c_1(2(2(c_1(2(2(c_1(c_1(c_1(c_1(2(2(c_1(x1)))))))))))))))))))) -> 0(0(1(1(1(0(1(0(0(0(2(2(1(1(2(0(0(2(1(2(x1))))))))))))))))))))
   0(2(c_0(2(c_1(c_1(2(c_0(c_0(c_0(2(c_1(2(c_1(2(c_0(c_0(c_1(2(c_0(x1)))))))))))))))))))) -> 0(2(2(0(1(2(0(1(0(0(0(0(2(1(0(0(0(0(1(2(x1))))))))))))))))))))
   0(2(c_1(c_1(c_1(c_1(c_0(c_0(c_0(c_0(2(c_1(2(c_0(c_0(2(c_1(c_0(2(c_1(x1)))))))))))))))))))) -> 0(0(0(1(0(1(1(2(0(2(0(0(2(2(2(2(1(0(2(1(x1))))))))))))))))))))
   0(c_1(c_0(c_0(2(2(c_0(c_1(2(2(c_1(2(c_1(c_0(c_1(2(2(2(c_1(c_0(x1)))))))))))))))))))) -> 0(0(2(2(0(2(2(2(1(0(2(1(2(0(2(2(0(0(2(2(x1))))))))))))))))))))
   0(c_0(c_1(c_0(2(c_0(2(c_1(c_1(c_1(c_0(c_0(c_0(2(2(c_1(2(c_1(c_1(2(x1)))))))))))))))))))) -> 0(2(0(0(2(2(0(2(1(1(2(1(2(1(0(2(2(0(2(0(x1))))))))))))))))))))
   0(c_0(2(c_1(c_1(c_0(2(2(c_1(c_1(c_1(c_1(2(2(c_0(c_0(2(c_1(c_0(c_0(x1)))))))))))))))))))) -> 0(2(2(1(1(1(2(1(0(1(2(1(2(1(1(2(1(0(0(0(x1))))))))))))))))))))
   0(2(c_0(2(c_0(2(c_0(2(c_1(c_1(c_0(2(c_1(c_1(c_1(c_1(2(c_0(2(c_0(x1)))))))))))))))))))) -> 0(1(0(2(1(2(1(1(0(0(2(2(2(0(0(1(2(2(0(0(x1))))))))))))))))))))
   0(c_1(c_0(2(2(2(c_1(2(c_1(c_1(c_1(2(c_1(c_0(2(c_1(c_1(c_1(c_0(c_1(x1)))))))))))))))))))) -> 0(0(1(2(2(2(1(0(0(1(1(2(1(1(2(0(0(1(2(0(x1))))))))))))))))))))
   0(2(2(c_0(c_0(2(c_1(c_0(2(c_0(2(c_0(2(c_0(c_1(c_1(2(2(c_1(c_0(x1)))))))))))))))))))) -> 0(2(0(0(0(0(0(0(1(2(0(1(2(2(0(1(0(1(0(1(x1))))))))))))))))))))
   0(c_1(c_1(c_0(2(c_1(c_1(c_0(c_0(c_1(c_1(c_1(2(2(2(c_0(2(c_0(c_0(2(x1)))))))))))))))))))) -> 0(1(2(1(0(2(1(0(1(2(2(2(0(0(2(0(2(2(1(2(x1))))))))))))))))))))
   0(c_0(c_1(c_0(c_1(c_0(2(c_0(c_0(c_1(2(c_1(c_1(2(2(2(c_1(c_0(2(c_1(x1)))))))))))))))))))) -> 0(2(1(0(1(0(0(0(2(0(0(1(2(0(2(1(0(0(2(0(x1))))))))))))))))))))
   0(c_1(c_1(c_1(c_1(2(c_0(c_0(c_0(2(2(2(2(c_1(c_0(2(2(2(c_0(c_1(x1)))))))))))))))))))) -> 0(2(0(0(0(1(2(0(1(2(2(2(1(2(1(1(1(2(1(2(x1))))))))))))))))))))
   0(2(c_1(2(c_0(c_1(c_1(2(2(c_0(c_1(c_1(c_0(c_1(2(c_1(c_0(c_0(c_0(c_1(x1)))))))))))))))))))) -> 0(0(1(0(0(2(0(2(0(1(2(1(0(0(0(1(0(0(2(1(x1))))))))))))))))))))
   0(c_0(2(2(c_0(c_1(c_0(2(c_1(2(c_1(c_1(2(2(2(c_1(c_1(2(c_0(2(x1)))))))))))))))))))) -> 0(0(1(2(1(2(1(2(1(2(0(1(2(1(0(0(0(1(2(0(x1))))))))))))))))))))
   0(2(c_0(2(c_0(2(c_1(2(2(c_0(c_1(c_1(c_1(2(c_1(c_1(c_0(2(c_0(c_1(x1)))))))))))))))))))) -> 0(2(0(0(1(1(1(0(2(1(1(2(0(0(0(2(2(1(1(0(x1))))))))))))))))))))
   0(2(2(c_0(c_1(2(2(c_0(c_1(c_1(2(c_1(c_1(2(2(2(c_1(c_0(c_1(2(x1)))))))))))))))))))) -> 0(2(1(0(0(0(2(0(1(1(1(0(1(0(2(2(1(1(2(2(x1))))))))))))))))))))
   0(2(2(2(2(c_1(c_0(c_0(c_0(2(2(c_1(c_0(c_1(c_1(c_1(c_0(c_1(2(2(x1)))))))))))))))))))) -> 0(0(2(2(0(2(0(2(0(1(1(2(0(0(0(0(2(1(1(2(x1))))))))))))))))))))
   0(c_0(c_0(c_1(c_0(2(c_0(2(c_1(2(c_0(c_1(c_1(2(c_1(c_1(2(2(c_1(c_1(x1)))))))))))))))))))) -> 0(1(2(0(2(2(1(1(1(0(1(0(2(1(2(1(2(1(2(1(x1))))))))))))))))))))
   0(c_1(c_0(c_0(2(2(c_0(2(2(c_1(2(c_1(2(c_1(c_1(c_0(c_0(2(2(2(x1)))))))))))))))))))) -> 0(2(0(1(2(1(0(1(0(0(0(0(0(0(2(0(1(0(2(1(x1))))))))))))))))))))
   0(c_1(2(2(2(c_0(c_0(2(c_0(c_1(2(c_1(c_0(c_1(c_0(c_0(2(c_0(c_0(2(x1)))))))))))))))))))) -> 0(0(0(1(2(0(2(1(2(2(0(0(0(1(0(1(0(0(1(2(x1))))))))))))))))))))
   0(2(c_1(c_1(c_1(c_0(c_0(c_1(2(c_1(2(c_1(c_1(2(c_0(2(c_1(c_0(c_1(2(x1)))))))))))))))))))) -> 0(1(0(1(0(2(0(0(0(1(1(1(2(0(0(0(1(2(2(2(x1))))))))))))))))))))
   0(2(2(c_1(c_1(c_1(c_1(c_0(c_0(c_1(c_0(c_1(c_0(2(2(c_1(c_1(2(2(c_1(x1)))))))))))))))))))) -> 0(2(2(2(0(2(2(1(1(2(2(2(2(0(2(0(0(2(0(2(x1))))))))))))))))))))
   0(2(2(c_1(2(c_0(c_1(c_1(c_0(c_0(c_1(c_1(2(c_0(c_1(c_1(c_0(2(2(2(x1)))))))))))))))))))) -> 0(2(2(2(0(2(0(0(2(2(0(0(2(1(1(0(0(2(1(1(x1))))))))))))))))))))
   0(2(c_0(c_0(c_1(c_0(2(c_1(c_0(2(2(c_0(c_1(c_0(2(c_1(2(c_1(c_1(2(x1)))))))))))))))))))) -> 0(2(1(0(2(1(0(2(1(2(1(0(1(2(0(1(0(0(0(0(x1))))))))))))))))))))
   0(2(2(c_1(c_0(c_0(c_1(c_1(2(c_0(2(2(c_0(c_1(c_1(2(2(c_1(c_0(c_0(x1)))))))))))))))))))) -> 0(2(1(0(2(2(0(0(0(0(0(1(2(1(0(1(1(2(1(1(x1))))))))))))))))))))
   0(c_1(2(2(2(2(2(2(2(c_1(c_0(2(2(c_1(c_1(2(c_1(2(c_1(c_1(x1)))))))))))))))))))) -> 0(2(1(0(2(1(0(1(2(0(0(0(1(2(0(0(0(0(0(1(x1))))))))))))))))))))
   0(c_1(c_1(c_0(2(c_0(2(c_1(2(c_1(2(2(c_0(2(c_1(2(2(c_1(c_1(c_0(x1)))))))))))))))))))) -> 0(2(0(1(1(1(0(1(0(1(2(0(2(2(1(0(2(0(0(2(x1))))))))))))))))))))
   0(c_1(c_0(c_1(c_1(2(2(c_0(c_0(c_0(2(2(2(c_1(c_1(c_0(c_1(c_1(c_1(c_1(x1)))))))))))))))))))) -> 0(0(2(2(2(2(2(2(1(1(0(1(2(2(0(1(2(0(2(1(x1))))))))))))))))))))
   0(c_0(c_1(c_1(c_0(2(2(c_1(c_1(c_1(c_1(c_1(2(c_0(2(c_1(c_0(2(2(c_1(x1)))))))))))))))))))) -> 0(2(0(1(1(0(1(2(2(2(0(0(2(2(2(0(2(0(0(0(x1))))))))))))))))))))
   0(2(c_1(c_1(2(c_1(2(2(2(c_0(c_0(c_1(c_0(2(c_1(c_1(c_1(2(2(c_0(x1)))))))))))))))))))) -> 0(0(0(2(1(0(1(2(1(2(1(1(1(2(0(0(0(1(1(0(x1))))))))))))))))))))
   0(c_1(2(c_0(c_0(2(c_1(c_1(c_0(2(c_1(c_0(c_1(c_1(c_1(c_0(c_1(c_1(c_0(c_0(x1)))))))))))))))))))) -> 0(0(0(2(0(1(1(2(2(0(2(0(0(2(1(0(0(2(1(1(x1))))))))))))))))))))
   0(c_0(c_1(c_0(2(2(2(2(c_1(c_0(2(c_1(c_0(2(2(c_0(c_1(c_1(2(c_1(x1)))))))))))))))))))) -> 0(0(1(0(0(0(0(2(2(2(2(0(0(0(1(0(0(2(1(1(x1))))))))))))))))))))
   0(c_1(c_1(c_0(c_1(c_1(c_1(c_1(2(c_0(2(c_0(2(2(2(c_0(c_0(c_0(2(c_1(x1)))))))))))))))))))) -> 0(1(0(1(2(2(2(0(2(2(1(1(2(2(2(0(0(0(1(0(x1))))))))))))))))))))
   0(c_0(c_1(c_0(c_1(2(2(2(c_1(c_1(2(c_1(2(c_1(c_0(2(c_0(c_1(2(c_0(x1)))))))))))))))))))) -> 0(2(0(1(1(2(2(2(1(0(0(2(1(0(0(0(0(2(0(2(x1))))))))))))))))))))
   0(c_0(c_0(c_1(2(c_0(2(2(c_1(c_1(c_0(c_1(c_0(c_1(2(c_0(c_1(c_1(c_1(c_1(x1)))))))))))))))))))) -> 0(1(2(0(1(2(1(0(1(0(1(0(2(0(1(1(1(1(0(2(x1))))))))))))))))))))
   0(c_0(c_1(2(c_0(c_1(2(c_0(c_1(c_1(c_1(c_0(2(2(c_1(c_0(2(c_1(c_1(2(x1)))))))))))))))))))) -> 0(1(2(2(0(2(2(2(1(0(1(2(2(1(0(0(1(1(1(2(x1))))))))))))))))))))
   0(c_0(c_1(2(2(c_1(c_1(c_0(2(2(2(c_0(c_1(c_1(c_1(c_1(c_0(c_1(2(c_1(x1)))))))))))))))))))) -> 0(1(2(2(0(1(1(1(2(0(2(0(0(1(2(0(2(1(2(0(x1))))))))))))))))))))
   0(c_1(c_1(2(c_0(2(c_0(2(2(c_1(c_1(2(c_0(c_1(2(2(c_0(c_1(c_0(c_0(x1)))))))))))))))))))) -> 0(1(2(0(0(0(2(1(2(0(1(2(2(2(2(0(1(1(0(1(x1))))))))))))))))))))
   0(2(c_1(c_1(2(c_0(2(2(2(c_0(c_1(2(c_0(2(c_0(2(2(c_0(c_0(c_1(x1)))))))))))))))))))) -> 0(0(2(1(2(0(0(0(2(0(1(2(2(2(1(0(1(1(1(0(x1))))))))))))))))))))
   0(c_1(c_0(c_1(c_0(c_1(c_1(c_0(c_0(c_0(c_1(c_0(2(c_1(c_1(2(c_0(c_1(c_0(c_1(x1)))))))))))))))))))) -> 0(0(2(1(1(0(0(2(0(2(1(0(1(1(0(2(2(0(1(2(x1))))))))))))))))))))
   0(c_0(c_1(2(2(c_0(c_1(c_1(2(c_0(c_0(2(2(c_1(c_0(2(c_1(2(c_1(c_0(x1)))))))))))))))))))) -> 0(2(2(0(2(0(2(1(0(2(0(0(2(2(1(0(0(0(2(0(x1))))))))))))))))))))
   0(c_0(c_0(2(2(c_1(c_1(2(2(c_0(c_0(2(c_1(2(c_0(c_1(c_1(c_0(2(2(x1)))))))))))))))))))) -> 0(2(2(2(1(0(0(2(1(2(1(2(1(2(1(1(1(2(0(2(x1))))))))))))))))))))
   0(c_1(2(c_1(c_0(c_1(2(2(c_1(c_1(c_0(c_0(c_1(c_1(2(2(c_1(c_0(c_1(c_1(x1)))))))))))))))))))) -> 0(2(2(2(0(2(0(2(0(1(2(1(2(2(2(1(0(0(1(0(x1))))))))))))))))))))
   0(2(2(c_1(c_1(2(2(c_1(c_0(2(c_1(2(c_1(c_1(2(2(2(c_0(2(c_0(x1)))))))))))))))))))) -> 0(2(1(2(2(2(1(0(0(1(0(0(0(1(2(1(1(2(2(1(x1))))))))))))))))))))
   0(c_1(c_1(c_1(2(2(c_1(2(c_1(c_1(c_1(c_0(c_0(c_1(c_1(c_1(2(c_1(c_1(c_0(x1)))))))))))))))))))) -> 0(0(1(0(2(0(1(1(1(2(0(2(1(2(2(0(2(1(2(1(x1))))))))))))))))))))
   0(c_0(2(c_0(c_1(c_1(2(c_0(2(c_1(c_0(2(2(c_1(c_1(c_0(c_1(2(c_0(c_1(x1)))))))))))))))))))) -> 0(1(2(0(2(0(1(0(1(2(1(0(0(2(2(1(0(1(0(1(x1))))))))))))))))))))
   0(c_1(c_1(2(2(2(2(c_1(c_0(2(c_0(c_0(c_1(2(2(c_1(2(2(2(2(x1)))))))))))))))))))) -> 0(1(0(0(2(0(0(1(2(1(2(0(1(2(2(1(0(2(0(2(x1))))))))))))))))))))
   0(2(c_0(c_1(2(c_1(c_1(c_1(c_1(2(c_0(2(c_1(2(c_0(c_1(2(2(c_0(c_1(x1)))))))))))))))))))) -> 0(1(1(1(1(2(1(0(0(1(1(0(2(1(0(0(2(0(0(1(x1))))))))))))))))))))
   0(c_1(c_0(c_1(c_1(2(c_1(c_0(c_0(c_0(2(2(2(c_1(2(c_1(2(c_1(c_0(2(x1)))))))))))))))))))) -> 0(1(0(0(2(2(1(2(1(0(1(0(0(0(2(0(0(2(1(2(x1))))))))))))))))))))
   0(c_0(c_1(c_0(2(c_1(2(2(2(2(c_0(c_1(2(c_0(c_1(c_1(2(2(c_0(2(x1)))))))))))))))))))) -> 0(0(2(1(1(0(0(2(2(2(0(1(2(2(0(1(2(2(0(2(x1))))))))))))))))))))
   0(c_1(c_1(c_0(c_1(2(c_1(2(c_0(2(2(c_1(c_0(c_0(2(c_0(c_1(c_0(c_1(c_1(x1)))))))))))))))))))) -> 0(0(0(1(2(0(2(2(2(0(1(0(1(2(1(1(1(0(2(0(x1))))))))))))))))))))

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

   encArg(2(x_1)) -> 2(encArg(x_1))
   encArg(cons_0(x_1)) -> 0(encArg(x_1))
   encArg(cons_1(x_1)) -> 1(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)

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_0(c_1(c_0(2(2(c_1(2(c_0(c_0(c_1(c_1(2(2(2(c_1(c_1(2(c_1(c_1(x1)))))))))))))))))))) -> 0(2(0(2(2(0(0(1(2(0(2(0(0(1(1(0(0(2(1(1(x1))))))))))))))))))))
   0(c_1(c_0(c_1(2(c_1(c_1(c_1(c_0(c_0(c_1(c_1(2(2(2(c_0(2(c_0(c_1(2(x1)))))))))))))))))))) -> 0(2(1(1(2(1(0(2(0(1(1(0(2(0(1(0(2(2(0(2(x1))))))))))))))))))))
   0(2(c_1(c_1(c_1(c_0(2(c_1(c_1(c_0(c_1(c_0(2(2(c_0(c_0(2(c_0(2(c_1(x1)))))))))))))))))))) -> 0(1(0(1(2(2(2(1(1(0(2(2(1(2(0(0(0(0(2(1(x1))))))))))))))))))))
   0(c_1(c_0(2(2(c_1(c_1(c_0(c_1(c_0(2(2(c_1(c_0(2(c_0(c_1(c_0(c_1(c_1(x1)))))))))))))))))))) -> 0(1(2(0(0(2(2(0(0(0(0(2(1(2(1(0(1(2(0(2(x1))))))))))))))))))))
   0(2(c_1(2(c_0(c_1(c_1(c_1(2(c_0(c_1(c_1(2(c_1(2(c_0(2(c_0(2(c_0(x1)))))))))))))))))))) -> 0(1(2(1(1(0(1(1(2(1(2(0(1(0(1(2(2(0(2(2(x1))))))))))))))))))))
   0(c_0(c_1(c_0(c_0(c_1(c_1(2(c_1(c_1(2(2(c_1(c_1(2(2(c_1(c_1(c_0(2(x1)))))))))))))))))))) -> 0(1(1(0(0(2(0(0(2(0(2(1(1(1(1(1(0(2(0(2(x1))))))))))))))))))))
   0(c_1(c_1(c_0(c_1(c_0(2(c_1(c_1(2(2(c_0(2(c_0(2(c_0(2(2(c_0(c_1(x1)))))))))))))))))))) -> 0(2(0(2(1(0(0(1(2(2(1(2(2(1(2(2(1(2(2(0(x1))))))))))))))))))))
   0(c_1(c_0(c_1(c_1(c_1(c_1(2(c_0(2(2(2(2(2(2(c_1(c_0(2(c_0(c_1(x1)))))))))))))))))))) -> 0(0(0(2(2(1(0(0(1(2(1(0(2(2(1(0(0(2(2(1(x1))))))))))))))))))))
   0(c_0(2(2(c_0(c_0(c_1(c_0(2(2(c_1(c_1(2(2(c_1(c_0(2(2(c_0(c_1(x1)))))))))))))))))))) -> 0(2(0(2(2(1(0(0(2(2(1(2(1(1(0(0(2(0(2(1(x1))))))))))))))))))))
   0(c_0(2(2(c_1(c_1(c_1(c_0(c_1(c_0(c_1(c_0(c_1(2(2(2(c_1(2(c_0(c_0(x1)))))))))))))))))))) -> 0(1(0(2(0(2(2(1(0(1(0(2(1(2(1(0(1(1(1(2(x1))))))))))))))))))))
   0(c_1(c_1(c_0(c_0(2(c_0(2(c_1(c_1(c_1(2(c_1(2(c_1(c_0(c_0(c_1(c_1(c_1(x1)))))))))))))))))))) -> 0(1(0(0(2(2(0(0(2(2(0(2(0(0(1(2(1(0(1(2(x1))))))))))))))))))))
   0(c_1(c_1(c_0(2(c_1(2(c_1(c_1(c_0(c_1(c_1(2(c_1(c_0(c_1(c_0(c_1(c_1(c_1(x1)))))))))))))))))))) -> 0(1(1(1(2(1(2(2(0(1(1(0(2(2(0(0(2(1(0(2(x1))))))))))))))))))))
   0(2(c_1(c_1(c_1(2(2(c_0(c_0(c_0(2(c_1(c_0(c_1(2(2(c_1(c_0(2(c_0(x1)))))))))))))))))))) -> 0(1(0(1(0(0(0(1(0(2(1(1(0(0(2(1(2(0(2(1(x1))))))))))))))))))))
   0(c_0(c_0(2(c_1(2(2(c_0(c_1(c_1(c_0(c_0(c_1(c_1(2(c_1(c_0(2(2(c_1(x1)))))))))))))))))))) -> 0(2(0(1(1(2(0(1(2(1(2(1(0(2(2(0(2(0(1(0(x1))))))))))))))))))))
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   0(c_0(c_1(c_1(c_0(2(2(c_1(c_1(c_1(c_1(c_1(2(c_0(2(c_1(c_0(2(2(c_1(x1)))))))))))))))))))) -> 0(2(0(1(1(0(1(2(2(2(0(0(2(2(2(0(2(0(0(0(x1))))))))))))))))))))
   0(2(c_1(c_1(2(c_1(2(2(2(c_0(c_0(c_1(c_0(2(c_1(c_1(c_1(2(2(c_0(x1)))))))))))))))))))) -> 0(0(0(2(1(0(1(2(1(2(1(1(1(2(0(0(0(1(1(0(x1))))))))))))))))))))
   0(c_1(2(c_0(c_0(2(c_1(c_1(c_0(2(c_1(c_0(c_1(c_1(c_1(c_0(c_1(c_1(c_0(c_0(x1)))))))))))))))))))) -> 0(0(0(2(0(1(1(2(2(0(2(0(0(2(1(0(0(2(1(1(x1))))))))))))))))))))
   0(c_0(c_1(c_0(2(2(2(2(c_1(c_0(2(c_1(c_0(2(2(c_0(c_1(c_1(2(c_1(x1)))))))))))))))))))) -> 0(0(1(0(0(0(0(2(2(2(2(0(0(0(1(0(0(2(1(1(x1))))))))))))))))))))
   0(c_1(c_1(c_0(c_1(c_1(c_1(c_1(2(c_0(2(c_0(2(2(2(c_0(c_0(c_0(2(c_1(x1)))))))))))))))))))) -> 0(1(0(1(2(2(2(0(2(2(1(1(2(2(2(0(0(0(1(0(x1))))))))))))))))))))
   0(c_0(c_1(c_0(c_1(2(2(2(c_1(c_1(2(c_1(2(c_1(c_0(2(c_0(c_1(2(c_0(x1)))))))))))))))))))) -> 0(2(0(1(1(2(2(2(1(0(0(2(1(0(0(0(0(2(0(2(x1))))))))))))))))))))
   0(c_0(c_0(c_1(2(c_0(2(2(c_1(c_1(c_0(c_1(c_0(c_1(2(c_0(c_1(c_1(c_1(c_1(x1)))))))))))))))))))) -> 0(1(2(0(1(2(1(0(1(0(1(0(2(0(1(1(1(1(0(2(x1))))))))))))))))))))
   0(c_0(c_1(2(c_0(c_1(2(c_0(c_1(c_1(c_1(c_0(2(2(c_1(c_0(2(c_1(c_1(2(x1)))))))))))))))))))) -> 0(1(2(2(0(2(2(2(1(0(1(2(2(1(0(0(1(1(1(2(x1))))))))))))))))))))
   0(c_0(c_1(2(2(c_1(c_1(c_0(2(2(2(c_0(c_1(c_1(c_1(c_1(c_0(c_1(2(c_1(x1)))))))))))))))))))) -> 0(1(2(2(0(1(1(1(2(0(2(0(0(1(2(0(2(1(2(0(x1))))))))))))))))))))
   0(c_1(c_1(2(c_0(2(c_0(2(2(c_1(c_1(2(c_0(c_1(2(2(c_0(c_1(c_0(c_0(x1)))))))))))))))))))) -> 0(1(2(0(0(0(2(1(2(0(1(2(2(2(2(0(1(1(0(1(x1))))))))))))))))))))
   0(2(c_1(c_1(2(c_0(2(2(2(c_0(c_1(2(c_0(2(c_0(2(2(c_0(c_0(c_1(x1)))))))))))))))))))) -> 0(0(2(1(2(0(0(0(2(0(1(2(2(2(1(0(1(1(1(0(x1))))))))))))))))))))
   0(c_1(c_0(c_1(c_0(c_1(c_1(c_0(c_0(c_0(c_1(c_0(2(c_1(c_1(2(c_0(c_1(c_0(c_1(x1)))))))))))))))))))) -> 0(0(2(1(1(0(0(2(0(2(1(0(1(1(0(2(2(0(1(2(x1))))))))))))))))))))
   0(c_0(c_1(2(2(c_0(c_1(c_1(2(c_0(c_0(2(2(c_1(c_0(2(c_1(2(c_1(c_0(x1)))))))))))))))))))) -> 0(2(2(0(2(0(2(1(0(2(0(0(2(2(1(0(0(0(2(0(x1))))))))))))))))))))
   0(c_0(c_0(2(2(c_1(c_1(2(2(c_0(c_0(2(c_1(2(c_0(c_1(c_1(c_0(2(2(x1)))))))))))))))))))) -> 0(2(2(2(1(0(0(2(1(2(1(2(1(2(1(1(1(2(0(2(x1))))))))))))))))))))
   0(c_1(2(c_1(c_0(c_1(2(2(c_1(c_1(c_0(c_0(c_1(c_1(2(2(c_1(c_0(c_1(c_1(x1)))))))))))))))))))) -> 0(2(2(2(0(2(0(2(0(1(2(1(2(2(2(1(0(0(1(0(x1))))))))))))))))))))
   0(2(2(c_1(c_1(2(2(c_1(c_0(2(c_1(2(c_1(c_1(2(2(2(c_0(2(c_0(x1)))))))))))))))))))) -> 0(2(1(2(2(2(1(0(0(1(0(0(0(1(2(1(1(2(2(1(x1))))))))))))))))))))
   0(c_1(c_1(c_1(2(2(c_1(2(c_1(c_1(c_1(c_0(c_0(c_1(c_1(c_1(2(c_1(c_1(c_0(x1)))))))))))))))))))) -> 0(0(1(0(2(0(1(1(1(2(0(2(1(2(2(0(2(1(2(1(x1))))))))))))))))))))
   0(c_0(2(c_0(c_1(c_1(2(c_0(2(c_1(c_0(2(2(c_1(c_1(c_0(c_1(2(c_0(c_1(x1)))))))))))))))))))) -> 0(1(2(0(2(0(1(0(1(2(1(0(0(2(2(1(0(1(0(1(x1))))))))))))))))))))
   0(c_1(c_1(2(2(2(2(c_1(c_0(2(c_0(c_0(c_1(2(2(c_1(2(2(2(2(x1)))))))))))))))))))) -> 0(1(0(0(2(0(0(1(2(1(2(0(1(2(2(1(0(2(0(2(x1))))))))))))))))))))
   0(2(c_0(c_1(2(c_1(c_1(c_1(c_1(2(c_0(2(c_1(2(c_0(c_1(2(2(c_0(c_1(x1)))))))))))))))))))) -> 0(1(1(1(1(2(1(0(0(1(1(0(2(1(0(0(2(0(0(1(x1))))))))))))))))))))
   0(c_1(c_0(c_1(c_1(2(c_1(c_0(c_0(c_0(2(2(2(c_1(2(c_1(2(c_1(c_0(2(x1)))))))))))))))))))) -> 0(1(0(0(2(2(1(2(1(0(1(0(0(0(2(0(0(2(1(2(x1))))))))))))))))))))
   0(c_0(c_1(c_0(2(c_1(2(2(2(2(c_0(c_1(2(c_0(c_1(c_1(2(2(c_0(2(x1)))))))))))))))))))) -> 0(0(2(1(1(0(0(2(2(2(0(1(2(2(0(1(2(2(0(2(x1))))))))))))))))))))
   0(c_1(c_1(c_0(c_1(2(c_1(2(c_0(2(2(c_1(c_0(c_0(2(c_0(c_1(c_0(c_1(c_1(x1)))))))))))))))))))) -> 0(0(0(1(2(0(2(2(2(0(1(0(1(2(1(1(1(0(2(0(x1))))))))))))))))))))

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

   encArg(2(x_1)) -> 2(encArg(x_1))
   encArg(cons_0(x_1)) -> 0(encArg(x_1))
   encArg(cons_1(x_1)) -> 1(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)

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_0(c_1(c_0(2(2(c_1(2(c_0(c_0(c_1(c_1(2(2(2(c_1(c_1(2(c_1(c_1(x1)))))))))))))))))))) -> 0(2(0(2(2(0(0(1(2(0(2(0(0(1(1(0(0(2(1(1(x1)))))))))))))))))))) [1]
   0(c_1(c_0(c_1(2(c_1(c_1(c_1(c_0(c_0(c_1(c_1(2(2(2(c_0(2(c_0(c_1(2(x1)))))))))))))))))))) -> 0(2(1(1(2(1(0(2(0(1(1(0(2(0(1(0(2(2(0(2(x1)))))))))))))))))))) [1]
   0(2(c_1(c_1(c_1(c_0(2(c_1(c_1(c_0(c_1(c_0(2(2(c_0(c_0(2(c_0(2(c_1(x1)))))))))))))))))))) -> 0(1(0(1(2(2(2(1(1(0(2(2(1(2(0(0(0(0(2(1(x1)))))))))))))))))))) [1]
   0(c_1(c_0(2(2(c_1(c_1(c_0(c_1(c_0(2(2(c_1(c_0(2(c_0(c_1(c_0(c_1(c_1(x1)))))))))))))))))))) -> 0(1(2(0(0(2(2(0(0(0(0(2(1(2(1(0(1(2(0(2(x1)))))))))))))))))))) [1]
   0(2(c_1(2(c_0(c_1(c_1(c_1(2(c_0(c_1(c_1(2(c_1(2(c_0(2(c_0(2(c_0(x1)))))))))))))))))))) -> 0(1(2(1(1(0(1(1(2(1(2(0(1(0(1(2(2(0(2(2(x1)))))))))))))))))))) [1]
   0(c_0(c_1(c_0(c_0(c_1(c_1(2(c_1(c_1(2(2(c_1(c_1(2(2(c_1(c_1(c_0(2(x1)))))))))))))))))))) -> 0(1(1(0(0(2(0(0(2(0(2(1(1(1(1(1(0(2(0(2(x1)))))))))))))))))))) [1]
   0(c_1(c_1(c_0(c_1(c_0(2(c_1(c_1(2(2(c_0(2(c_0(2(c_0(2(2(c_0(c_1(x1)))))))))))))))))))) -> 0(2(0(2(1(0(0(1(2(2(1(2(2(1(2(2(1(2(2(0(x1)))))))))))))))))))) [1]
   0(c_1(c_0(c_1(c_1(c_1(c_1(2(c_0(2(2(2(2(2(2(c_1(c_0(2(c_0(c_1(x1)))))))))))))))))))) -> 0(0(0(2(2(1(0(0(1(2(1(0(2(2(1(0(0(2(2(1(x1)))))))))))))))))))) [1]
   0(c_0(2(2(c_0(c_0(c_1(c_0(2(2(c_1(c_1(2(2(c_1(c_0(2(2(c_0(c_1(x1)))))))))))))))))))) -> 0(2(0(2(2(1(0(0(2(2(1(2(1(1(0(0(2(0(2(1(x1)))))))))))))))))))) [1]
   0(c_0(2(2(c_1(c_1(c_1(c_0(c_1(c_0(c_1(c_0(c_1(2(2(2(c_1(2(c_0(c_0(x1)))))))))))))))))))) -> 0(1(0(2(0(2(2(1(0(1(0(2(1(2(1(0(1(1(1(2(x1)))))))))))))))))))) [1]
   0(c_1(c_1(c_0(c_0(2(c_0(2(c_1(c_1(c_1(2(c_1(2(c_1(c_0(c_0(c_1(c_1(c_1(x1)))))))))))))))))))) -> 0(1(0(0(2(2(0(0(2(2(0(2(0(0(1(2(1(0(1(2(x1)))))))))))))))))))) [1]
   0(c_1(c_1(c_0(2(c_1(2(c_1(c_1(c_0(c_1(c_1(2(c_1(c_0(c_1(c_0(c_1(c_1(c_1(x1)))))))))))))))))))) -> 0(1(1(1(2(1(2(2(0(1(1(0(2(2(0(0(2(1(0(2(x1)))))))))))))))))))) [1]
   0(2(c_1(c_1(c_1(2(2(c_0(c_0(c_0(2(c_1(c_0(c_1(2(2(c_1(c_0(2(c_0(x1)))))))))))))))))))) -> 0(1(0(1(0(0(0(1(0(2(1(1(0(0(2(1(2(0(2(1(x1)))))))))))))))))))) [1]
   0(c_0(c_0(2(c_1(2(2(c_0(c_1(c_1(c_0(c_0(c_1(c_1(2(c_1(c_0(2(2(c_1(x1)))))))))))))))))))) -> 0(2(0(1(1(2(0(1(2(1(2(1(0(2(2(0(2(0(1(0(x1)))))))))))))))))))) [1]
   0(c_0(2(c_0(2(c_1(c_1(2(c_1(c_1(c_1(c_1(c_1(c_0(c_1(c_1(c_1(2(2(c_1(x1)))))))))))))))))))) -> 0(2(0(0(2(1(1(2(2(0(2(0(1(2(2(2(1(1(1(2(x1)))))))))))))))))))) [1]
   0(2(c_0(c_1(c_1(c_1(c_0(c_1(2(2(c_0(2(c_0(2(c_0(2(c_1(2(c_0(c_1(x1)))))))))))))))))))) -> 0(2(2(0(1(2(2(2(2(1(0(2(1(2(0(0(2(2(2(1(x1)))))))))))))))))))) [1]
   0(c_0(2(c_1(c_0(c_1(c_0(c_0(2(c_0(c_1(c_1(c_0(2(c_0(2(2(2(2(c_0(x1)))))))))))))))))))) -> 0(2(2(0(0(0(2(1(0(0(0(1(1(2(0(1(1(0(0(0(x1)))))))))))))))))))) [1]
   0(c_1(c_1(c_0(2(2(c_0(c_1(2(2(2(c_0(2(2(c_1(2(c_1(2(c_1(c_0(x1)))))))))))))))))))) -> 0(0(2(0(0(2(0(2(1(0(2(2(2(0(0(0(2(1(1(2(x1)))))))))))))))))))) [1]
   0(c_1(c_0(2(c_0(c_0(c_1(2(2(2(c_1(2(2(2(c_0(c_0(c_0(c_1(2(2(x1)))))))))))))))))))) -> 0(1(0(1(1(2(1(0(0(1(0(0(2(2(2(1(0(2(0(0(x1)))))))))))))))))))) [1]
   0(c_1(c_1(2(c_1(c_1(c_1(c_1(c_0(c_0(c_0(c_0(c_1(c_1(c_0(c_1(c_0(c_1(c_1(c_0(x1)))))))))))))))))))) -> 0(0(0(1(0(1(0(1(1(1(2(0(1(2(2(0(2(2(0(2(x1)))))))))))))))))))) [1]
   0(c_0(2(c_0(c_0(c_0(2(c_1(2(2(2(c_1(c_1(c_1(c_0(2(c_1(c_1(c_0(c_0(x1)))))))))))))))))))) -> 0(2(0(1(2(0(1(2(0(1(0(1(2(2(1(2(1(0(0(0(x1)))))))))))))))))))) [1]
   0(c_1(c_0(2(c_1(c_1(c_1(c_0(2(2(c_1(c_1(c_1(c_1(2(c_0(2(c_1(c_0(c_0(x1)))))))))))))))))))) -> 0(2(1(0(2(0(0(1(2(2(0(0(0(1(1(1(1(0(2(2(x1)))))))))))))))))))) [1]
   0(2(c_1(c_1(c_0(2(c_1(c_1(c_1(c_1(2(2(c_0(c_1(c_1(c_1(2(2(c_1(c_1(x1)))))))))))))))))))) -> 0(0(2(0(0(1(0(2(2(1(0(1(1(0(0(2(0(2(2(1(x1)))))))))))))))))))) [1]
   0(c_0(2(2(2(c_0(c_1(c_0(c_1(c_1(c_1(c_0(c_1(c_0(c_0(c_0(c_1(c_1(2(c_0(x1)))))))))))))))))))) -> 0(2(0(2(2(2(2(0(2(2(1(0(0(0(0(0(0(2(0(0(x1)))))))))))))))))))) [1]
   0(2(c_0(2(c_1(c_0(c_0(c_1(2(c_0(2(c_0(c_1(c_0(c_1(c_1(c_1(2(2(c_1(x1)))))))))))))))))))) -> 0(0(1(0(1(0(1(1(2(1(0(0(0(1(2(2(2(0(1(0(x1)))))))))))))))))))) [1]
   0(2(c_0(2(c_1(2(c_1(2(2(c_0(2(c_1(c_1(c_1(2(c_1(c_1(c_1(c_1(c_1(x1)))))))))))))))))))) -> 0(1(1(1(0(2(1(0(1(2(1(0(0(0(2(1(1(2(0(1(x1)))))))))))))))))))) [1]
   0(2(c_1(c_0(c_1(2(2(c_0(c_0(c_1(2(c_0(2(2(2(2(2(2(c_1(c_1(x1)))))))))))))))))))) -> 0(0(0(1(2(2(0(0(0(1(2(0(0(0(2(2(0(1(0(2(x1)))))))))))))))))))) [1]
   0(2(2(c_1(c_1(2(c_0(c_1(c_0(c_1(c_0(2(c_0(c_1(c_0(c_1(c_0(2(c_1(c_1(x1)))))))))))))))))))) -> 0(1(1(0(0(1(1(0(0(2(2(1(1(2(2(0(0(0(2(0(x1)))))))))))))))))))) [1]
   0(2(c_0(c_0(c_0(2(c_1(c_1(c_0(2(2(c_1(c_1(c_0(c_0(c_0(c_0(c_1(c_0(c_0(x1)))))))))))))))))))) -> 0(0(2(1(0(0(0(2(2(2(2(0(0(2(0(2(1(2(1(2(x1)))))))))))))))))))) [1]
   0(c_1(c_0(c_0(c_1(c_1(c_1(c_0(c_1(c_1(2(c_1(c_1(c_1(2(2(c_1(2(2(c_1(x1)))))))))))))))))))) -> 0(0(1(1(1(2(1(0(2(0(0(0(1(2(2(0(0(1(1(1(x1)))))))))))))))))))) [1]
   0(c_1(c_1(c_1(c_1(c_1(c_1(2(2(c_0(2(c_0(2(2(c_0(2(c_1(c_0(c_1(c_0(x1)))))))))))))))))))) -> 0(2(0(1(1(0(2(0(0(1(1(2(0(1(0(0(1(0(2(0(x1)))))))))))))))))))) [1]
   0(c_0(c_1(c_1(c_1(c_1(c_0(2(2(2(2(c_1(c_1(2(2(2(c_1(c_1(2(c_1(x1)))))))))))))))))))) -> 0(1(0(0(1(1(2(2(0(2(2(0(2(0(0(0(2(2(1(1(x1)))))))))))))))))))) [1]
   0(c_1(c_0(c_1(c_1(2(2(c_1(c_0(c_1(2(c_1(c_1(c_0(c_1(2(c_0(2(c_0(2(x1)))))))))))))))))))) -> 0(2(0(1(0(1(1(0(0(1(0(2(0(0(0(2(2(0(2(0(x1)))))))))))))))))))) [1]
   0(c_1(c_1(2(c_0(c_1(c_0(c_0(c_1(2(c_0(2(c_1(c_0(c_0(c_0(c_0(2(c_0(c_1(x1)))))))))))))))))))) -> 0(0(2(1(2(2(2(1(2(1(0(0(0(2(2(1(0(1(2(0(x1)))))))))))))))))))) [1]
   1(2(2(c_0(2(c_0(2(c_1(2(c_1(2(c_1(c_0(c_0(c_1(c_0(c_0(2(c_0(c_1(x1)))))))))))))))))))) -> 1(0(1(2(0(1(0(0(1(0(0(0(2(1(0(0(1(0(0(2(x1)))))))))))))))))))) [1]
   0(c_0(2(c_0(c_1(2(2(c_0(c_0(c_1(2(2(c_0(c_0(2(2(c_1(c_1(c_0(c_1(x1)))))))))))))))))))) -> 0(0(1(2(0(0(1(1(0(2(0(2(0(0(0(0(0(2(0(1(x1)))))))))))))))))))) [1]
   0(c_1(c_0(c_1(2(c_1(c_1(c_1(2(2(c_0(2(c_1(c_1(2(c_1(2(c_0(2(c_1(x1)))))))))))))))))))) -> 0(2(1(2(0(0(2(1(2(2(1(2(1(2(0(2(0(0(2(1(x1)))))))))))))))))))) [1]
   0(c_1(c_0(2(c_0(2(c_1(c_1(c_1(c_0(c_1(2(2(c_0(2(c_0(c_1(c_1(2(c_0(x1)))))))))))))))))))) -> 0(0(1(2(0(0(0(0(0(0(1(1(0(2(0(2(1(2(1(0(x1)))))))))))))))))))) [1]
   0(c_1(2(c_0(c_0(c_1(2(c_0(2(c_0(c_0(c_1(c_0(2(c_0(c_0(2(c_1(2(c_0(x1)))))))))))))))))))) -> 0(2(1(2(0(0(0(2(0(0(2(1(2(2(0(2(2(0(0(0(x1)))))))))))))))))))) [1]
   0(c_1(2(c_0(2(c_0(c_0(2(c_1(c_1(c_1(2(2(c_0(c_0(c_0(2(c_0(c_0(c_0(x1)))))))))))))))))))) -> 0(1(0(0(2(1(0(1(1(0(1(2(2(0(1(2(1(0(1(0(x1)))))))))))))))))))) [1]
   0(c_0(2(2(c_1(2(c_0(c_1(2(2(c_0(c_1(c_0(c_0(c_0(2(2(c_0(c_0(c_0(x1)))))))))))))))))))) -> 0(0(0(0(2(0(0(0(2(2(2(0(2(0(1(0(1(0(0(0(x1)))))))))))))))))))) [1]
   0(2(2(c_0(2(c_0(c_1(c_1(2(2(2(c_0(2(2(c_0(2(c_0(c_1(2(c_0(x1)))))))))))))))))))) -> 0(1(1(0(0(0(2(0(0(1(1(1(0(1(1(0(0(0(0(2(x1)))))))))))))))))))) [1]
   0(2(c_0(c_1(c_1(c_0(c_1(c_1(c_1(c_0(c_1(c_0(c_0(2(c_1(c_0(2(2(2(c_0(x1)))))))))))))))))))) -> 0(2(2(2(0(0(2(0(0(2(0(1(2(1(2(2(1(2(1(2(x1)))))))))))))))))))) [1]
   0(c_1(2(c_0(c_1(c_0(2(c_0(2(c_1(2(2(c_1(c_1(c_1(2(c_0(c_1(2(c_1(x1)))))))))))))))))))) -> 0(0(2(2(2(0(0(0(1(0(0(0(0(2(1(2(1(1(2(1(x1)))))))))))))))))))) [1]
   0(c_0(c_0(2(c_0(c_0(c_0(2(c_1(2(2(c_1(c_1(c_0(c_0(c_0(c_1(c_1(c_1(2(x1)))))))))))))))))))) -> 0(2(2(1(0(1(0(2(2(2(1(1(2(0(0(0(0(0(1(2(x1)))))))))))))))))))) [1]
   0(c_0(c_1(2(2(c_1(c_0(c_1(c_1(c_1(c_0(c_0(c_1(2(c_1(2(2(2(c_0(2(x1)))))))))))))))))))) -> 0(1(1(2(2(0(0(2(0(2(2(0(0(1(0(0(0(0(0(0(x1)))))))))))))))))))) [1]
   0(c_0(c_0(c_0(c_1(2(c_0(2(c_0(c_1(2(2(c_1(c_1(c_1(c_1(c_1(c_0(2(2(x1)))))))))))))))))))) -> 0(2(0(0(1(0(1(0(0(2(0(0(2(0(2(1(1(0(1(2(x1)))))))))))))))))))) [1]
   0(c_1(2(2(c_0(c_1(c_1(c_1(2(c_1(c_0(c_0(2(c_0(c_1(2(2(c_0(c_1(2(x1)))))))))))))))))))) -> 0(2(0(0(2(0(2(2(1(0(1(1(1(0(2(0(1(2(0(0(x1)))))))))))))))))))) [1]
   0(c_1(c_0(c_0(c_1(c_0(2(c_1(2(2(c_1(2(2(c_1(c_1(c_1(c_1(2(2(c_1(x1)))))))))))))))))))) -> 0(0(1(1(1(0(1(0(0(0(2(2(1(1(2(0(0(2(1(2(x1)))))))))))))))))))) [1]
   0(2(c_0(2(c_1(c_1(2(c_0(c_0(c_0(2(c_1(2(c_1(2(c_0(c_0(c_1(2(c_0(x1)))))))))))))))))))) -> 0(2(2(0(1(2(0(1(0(0(0(0(2(1(0(0(0(0(1(2(x1)))))))))))))))))))) [1]
   0(2(c_1(c_1(c_1(c_1(c_0(c_0(c_0(c_0(2(c_1(2(c_0(c_0(2(c_1(c_0(2(c_1(x1)))))))))))))))))))) -> 0(0(0(1(0(1(1(2(0(2(0(0(2(2(2(2(1(0(2(1(x1)))))))))))))))))))) [1]
   0(c_1(c_0(c_0(2(2(c_0(c_1(2(2(c_1(2(c_1(c_0(c_1(2(2(2(c_1(c_0(x1)))))))))))))))))))) -> 0(0(2(2(0(2(2(2(1(0(2(1(2(0(2(2(0(0(2(2(x1)))))))))))))))))))) [1]
   0(c_0(c_1(c_0(2(c_0(2(c_1(c_1(c_1(c_0(c_0(c_0(2(2(c_1(2(c_1(c_1(2(x1)))))))))))))))))))) -> 0(2(0(0(2(2(0(2(1(1(2(1(2(1(0(2(2(0(2(0(x1)))))))))))))))))))) [1]
   0(c_0(2(c_1(c_1(c_0(2(2(c_1(c_1(c_1(c_1(2(2(c_0(c_0(2(c_1(c_0(c_0(x1)))))))))))))))))))) -> 0(2(2(1(1(1(2(1(0(1(2(1(2(1(1(2(1(0(0(0(x1)))))))))))))))))))) [1]
   0(2(c_0(2(c_0(2(c_0(2(c_1(c_1(c_0(2(c_1(c_1(c_1(c_1(2(c_0(2(c_0(x1)))))))))))))))))))) -> 0(1(0(2(1(2(1(1(0(0(2(2(2(0(0(1(2(2(0(0(x1)))))))))))))))))))) [1]
   0(c_1(c_0(2(2(2(c_1(2(c_1(c_1(c_1(2(c_1(c_0(2(c_1(c_1(c_1(c_0(c_1(x1)))))))))))))))))))) -> 0(0(1(2(2(2(1(0(0(1(1(2(1(1(2(0(0(1(2(0(x1)))))))))))))))))))) [1]
   0(2(2(c_0(c_0(2(c_1(c_0(2(c_0(2(c_0(2(c_0(c_1(c_1(2(2(c_1(c_0(x1)))))))))))))))))))) -> 0(2(0(0(0(0(0(0(1(2(0(1(2(2(0(1(0(1(0(1(x1)))))))))))))))))))) [1]
   0(c_1(c_1(c_0(2(c_1(c_1(c_0(c_0(c_1(c_1(c_1(2(2(2(c_0(2(c_0(c_0(2(x1)))))))))))))))))))) -> 0(1(2(1(0(2(1(0(1(2(2(2(0(0(2(0(2(2(1(2(x1)))))))))))))))))))) [1]
   0(c_0(c_1(c_0(c_1(c_0(2(c_0(c_0(c_1(2(c_1(c_1(2(2(2(c_1(c_0(2(c_1(x1)))))))))))))))))))) -> 0(2(1(0(1(0(0(0(2(0(0(1(2(0(2(1(0(0(2(0(x1)))))))))))))))))))) [1]
   0(c_1(c_1(c_1(c_1(2(c_0(c_0(c_0(2(2(2(2(c_1(c_0(2(2(2(c_0(c_1(x1)))))))))))))))))))) -> 0(2(0(0(0(1(2(0(1(2(2(2(1(2(1(1(1(2(1(2(x1)))))))))))))))))))) [1]
   0(2(c_1(2(c_0(c_1(c_1(2(2(c_0(c_1(c_1(c_0(c_1(2(c_1(c_0(c_0(c_0(c_1(x1)))))))))))))))))))) -> 0(0(1(0(0(2(0(2(0(1(2(1(0(0(0(1(0(0(2(1(x1)))))))))))))))))))) [1]
   0(c_0(2(2(c_0(c_1(c_0(2(c_1(2(c_1(c_1(2(2(2(c_1(c_1(2(c_0(2(x1)))))))))))))))))))) -> 0(0(1(2(1(2(1(2(1(2(0(1(2(1(0(0(0(1(2(0(x1)))))))))))))))))))) [1]
   0(2(c_0(2(c_0(2(c_1(2(2(c_0(c_1(c_1(c_1(2(c_1(c_1(c_0(2(c_0(c_1(x1)))))))))))))))))))) -> 0(2(0(0(1(1(1(0(2(1(1(2(0(0(0(2(2(1(1(0(x1)))))))))))))))))))) [1]
   0(2(2(c_0(c_1(2(2(c_0(c_1(c_1(2(c_1(c_1(2(2(2(c_1(c_0(c_1(2(x1)))))))))))))))))))) -> 0(2(1(0(0(0(2(0(1(1(1(0(1(0(2(2(1(1(2(2(x1)))))))))))))))))))) [1]
   0(2(2(2(2(c_1(c_0(c_0(c_0(2(2(c_1(c_0(c_1(c_1(c_1(c_0(c_1(2(2(x1)))))))))))))))))))) -> 0(0(2(2(0(2(0(2(0(1(1(2(0(0(0(0(2(1(1(2(x1)))))))))))))))))))) [1]
   0(c_0(c_0(c_1(c_0(2(c_0(2(c_1(2(c_0(c_1(c_1(2(c_1(c_1(2(2(c_1(c_1(x1)))))))))))))))))))) -> 0(1(2(0(2(2(1(1(1(0(1(0(2(1(2(1(2(1(2(1(x1)))))))))))))))))))) [1]
   0(c_1(c_0(c_0(2(2(c_0(2(2(c_1(2(c_1(2(c_1(c_1(c_0(c_0(2(2(2(x1)))))))))))))))))))) -> 0(2(0(1(2(1(0(1(0(0(0(0(0(0(2(0(1(0(2(1(x1)))))))))))))))))))) [1]
   0(c_1(2(2(2(c_0(c_0(2(c_0(c_1(2(c_1(c_0(c_1(c_0(c_0(2(c_0(c_0(2(x1)))))))))))))))))))) -> 0(0(0(1(2(0(2(1(2(2(0(0(0(1(0(1(0(0(1(2(x1)))))))))))))))))))) [1]
   0(2(c_1(c_1(c_1(c_0(c_0(c_1(2(c_1(2(c_1(c_1(2(c_0(2(c_1(c_0(c_1(2(x1)))))))))))))))))))) -> 0(1(0(1(0(2(0(0(0(1(1(1(2(0(0(0(1(2(2(2(x1)))))))))))))))))))) [1]
   0(2(2(c_1(c_1(c_1(c_1(c_0(c_0(c_1(c_0(c_1(c_0(2(2(c_1(c_1(2(2(c_1(x1)))))))))))))))))))) -> 0(2(2(2(0(2(2(1(1(2(2(2(2(0(2(0(0(2(0(2(x1)))))))))))))))))))) [1]
   0(2(2(c_1(2(c_0(c_1(c_1(c_0(c_0(c_1(c_1(2(c_0(c_1(c_1(c_0(2(2(2(x1)))))))))))))))))))) -> 0(2(2(2(0(2(0(0(2(2(0(0(2(1(1(0(0(2(1(1(x1)))))))))))))))))))) [1]
   0(2(c_0(c_0(c_1(c_0(2(c_1(c_0(2(2(c_0(c_1(c_0(2(c_1(2(c_1(c_1(2(x1)))))))))))))))))))) -> 0(2(1(0(2(1(0(2(1(2(1(0(1(2(0(1(0(0(0(0(x1)))))))))))))))))))) [1]
   0(2(2(c_1(c_0(c_0(c_1(c_1(2(c_0(2(2(c_0(c_1(c_1(2(2(c_1(c_0(c_0(x1)))))))))))))))))))) -> 0(2(1(0(2(2(0(0(0(0(0(1(2(1(0(1(1(2(1(1(x1)))))))))))))))))))) [1]
   0(c_1(2(2(2(2(2(2(2(c_1(c_0(2(2(c_1(c_1(2(c_1(2(c_1(c_1(x1)))))))))))))))))))) -> 0(2(1(0(2(1(0(1(2(0(0(0(1(2(0(0(0(0(0(1(x1)))))))))))))))))))) [1]
   0(c_1(c_1(c_0(2(c_0(2(c_1(2(c_1(2(2(c_0(2(c_1(2(2(c_1(c_1(c_0(x1)))))))))))))))))))) -> 0(2(0(1(1(1(0(1(0(1(2(0(2(2(1(0(2(0(0(2(x1)))))))))))))))))))) [1]
   0(c_1(c_0(c_1(c_1(2(2(c_0(c_0(c_0(2(2(2(c_1(c_1(c_0(c_1(c_1(c_1(c_1(x1)))))))))))))))))))) -> 0(0(2(2(2(2(2(2(1(1(0(1(2(2(0(1(2(0(2(1(x1)))))))))))))))))))) [1]
   0(c_0(c_1(c_1(c_0(2(2(c_1(c_1(c_1(c_1(c_1(2(c_0(2(c_1(c_0(2(2(c_1(x1)))))))))))))))))))) -> 0(2(0(1(1(0(1(2(2(2(0(0(2(2(2(0(2(0(0(0(x1)))))))))))))))))))) [1]
   0(2(c_1(c_1(2(c_1(2(2(2(c_0(c_0(c_1(c_0(2(c_1(c_1(c_1(2(2(c_0(x1)))))))))))))))))))) -> 0(0(0(2(1(0(1(2(1(2(1(1(1(2(0(0(0(1(1(0(x1)))))))))))))))))))) [1]
   0(c_1(2(c_0(c_0(2(c_1(c_1(c_0(2(c_1(c_0(c_1(c_1(c_1(c_0(c_1(c_1(c_0(c_0(x1)))))))))))))))))))) -> 0(0(0(2(0(1(1(2(2(0(2(0(0(2(1(0(0(2(1(1(x1)))))))))))))))))))) [1]
   0(c_0(c_1(c_0(2(2(2(2(c_1(c_0(2(c_1(c_0(2(2(c_0(c_1(c_1(2(c_1(x1)))))))))))))))))))) -> 0(0(1(0(0(0(0(2(2(2(2(0(0(0(1(0(0(2(1(1(x1)))))))))))))))))))) [1]
   0(c_1(c_1(c_0(c_1(c_1(c_1(c_1(2(c_0(2(c_0(2(2(2(c_0(c_0(c_0(2(c_1(x1)))))))))))))))))))) -> 0(1(0(1(2(2(2(0(2(2(1(1(2(2(2(0(0(0(1(0(x1)))))))))))))))))))) [1]
   0(c_0(c_1(c_0(c_1(2(2(2(c_1(c_1(2(c_1(2(c_1(c_0(2(c_0(c_1(2(c_0(x1)))))))))))))))))))) -> 0(2(0(1(1(2(2(2(1(0(0(2(1(0(0(0(0(2(0(2(x1)))))))))))))))))))) [1]
   0(c_0(c_0(c_1(2(c_0(2(2(c_1(c_1(c_0(c_1(c_0(c_1(2(c_0(c_1(c_1(c_1(c_1(x1)))))))))))))))))))) -> 0(1(2(0(1(2(1(0(1(0(1(0(2(0(1(1(1(1(0(2(x1)))))))))))))))))))) [1]
   0(c_0(c_1(2(c_0(c_1(2(c_0(c_1(c_1(c_1(c_0(2(2(c_1(c_0(2(c_1(c_1(2(x1)))))))))))))))))))) -> 0(1(2(2(0(2(2(2(1(0(1(2(2(1(0(0(1(1(1(2(x1)))))))))))))))))))) [1]
   0(c_0(c_1(2(2(c_1(c_1(c_0(2(2(2(c_0(c_1(c_1(c_1(c_1(c_0(c_1(2(c_1(x1)))))))))))))))))))) -> 0(1(2(2(0(1(1(1(2(0(2(0(0(1(2(0(2(1(2(0(x1)))))))))))))))))))) [1]
   0(c_1(c_1(2(c_0(2(c_0(2(2(c_1(c_1(2(c_0(c_1(2(2(c_0(c_1(c_0(c_0(x1)))))))))))))))))))) -> 0(1(2(0(0(0(2(1(2(0(1(2(2(2(2(0(1(1(0(1(x1)))))))))))))))))))) [1]
   0(2(c_1(c_1(2(c_0(2(2(2(c_0(c_1(2(c_0(2(c_0(2(2(c_0(c_0(c_1(x1)))))))))))))))))))) -> 0(0(2(1(2(0(0(0(2(0(1(2(2(2(1(0(1(1(1(0(x1)))))))))))))))))))) [1]
   0(c_1(c_0(c_1(c_0(c_1(c_1(c_0(c_0(c_0(c_1(c_0(2(c_1(c_1(2(c_0(c_1(c_0(c_1(x1)))))))))))))))))))) -> 0(0(2(1(1(0(0(2(0(2(1(0(1(1(0(2(2(0(1(2(x1)))))))))))))))))))) [1]
   0(c_0(c_1(2(2(c_0(c_1(c_1(2(c_0(c_0(2(2(c_1(c_0(2(c_1(2(c_1(c_0(x1)))))))))))))))))))) -> 0(2(2(0(2(0(2(1(0(2(0(0(2(2(1(0(0(0(2(0(x1)))))))))))))))))))) [1]
   0(c_0(c_0(2(2(c_1(c_1(2(2(c_0(c_0(2(c_1(2(c_0(c_1(c_1(c_0(2(2(x1)))))))))))))))))))) -> 0(2(2(2(1(0(0(2(1(2(1(2(1(2(1(1(1(2(0(2(x1)))))))))))))))))))) [1]
   0(c_1(2(c_1(c_0(c_1(2(2(c_1(c_1(c_0(c_0(c_1(c_1(2(2(c_1(c_0(c_1(c_1(x1)))))))))))))))))))) -> 0(2(2(2(0(2(0(2(0(1(2(1(2(2(2(1(0(0(1(0(x1)))))))))))))))))))) [1]
   0(2(2(c_1(c_1(2(2(c_1(c_0(2(c_1(2(c_1(c_1(2(2(2(c_0(2(c_0(x1)))))))))))))))))))) -> 0(2(1(2(2(2(1(0(0(1(0(0(0(1(2(1(1(2(2(1(x1)))))))))))))))))))) [1]
   0(c_1(c_1(c_1(2(2(c_1(2(c_1(c_1(c_1(c_0(c_0(c_1(c_1(c_1(2(c_1(c_1(c_0(x1)))))))))))))))))))) -> 0(0(1(0(2(0(1(1(1(2(0(2(1(2(2(0(2(1(2(1(x1)))))))))))))))))))) [1]
   0(c_0(2(c_0(c_1(c_1(2(c_0(2(c_1(c_0(2(2(c_1(c_1(c_0(c_1(2(c_0(c_1(x1)))))))))))))))))))) -> 0(1(2(0(2(0(1(0(1(2(1(0(0(2(2(1(0(1(0(1(x1)))))))))))))))))))) [1]
   0(c_1(c_1(2(2(2(2(c_1(c_0(2(c_0(c_0(c_1(2(2(c_1(2(2(2(2(x1)))))))))))))))))))) -> 0(1(0(0(2(0(0(1(2(1(2(0(1(2(2(1(0(2(0(2(x1)))))))))))))))))))) [1]
   0(2(c_0(c_1(2(c_1(c_1(c_1(c_1(2(c_0(2(c_1(2(c_0(c_1(2(2(c_0(c_1(x1)))))))))))))))))))) -> 0(1(1(1(1(2(1(0(0(1(1(0(2(1(0(0(2(0(0(1(x1)))))))))))))))))))) [1]
   0(c_1(c_0(c_1(c_1(2(c_1(c_0(c_0(c_0(2(2(2(c_1(2(c_1(2(c_1(c_0(2(x1)))))))))))))))))))) -> 0(1(0(0(2(2(1(2(1(0(1(0(0(0(2(0(0(2(1(2(x1)))))))))))))))))))) [1]
   0(c_0(c_1(c_0(2(c_1(2(2(2(2(c_0(c_1(2(c_0(c_1(c_1(2(2(c_0(2(x1)))))))))))))))))))) -> 0(0(2(1(1(0(0(2(2(2(0(1(2(2(0(1(2(2(0(2(x1)))))))))))))))))))) [1]
   0(c_1(c_1(c_0(c_1(2(c_1(2(c_0(2(2(c_1(c_0(c_0(2(c_0(c_1(c_0(c_1(c_1(x1)))))))))))))))))))) -> 0(0(0(1(2(0(2(2(2(0(1(0(1(2(1(1(1(0(2(0(x1)))))))))))))))))))) [1]
   encArg(2(x_1)) -> 2(encArg(x_1)) [0]
   encArg(cons_0(x_1)) -> 0(encArg(x_1)) [0]
   encArg(cons_1(x_1)) -> 1(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]

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

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

0 => 0'
1 => 1'

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

(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_0(c_1(c_0(2(2(c_1(2(c_0(c_0(c_1(c_1(2(2(2(c_1(c_1(2(c_1(c_1(x1)))))))))))))))))))) -> 0'(2(0'(2(2(0'(0'(1'(2(0'(2(0'(0'(1'(1'(0'(0'(2(1'(1'(x1)))))))))))))))))))) [1]
   0'(c_1(c_0(c_1(2(c_1(c_1(c_1(c_0(c_0(c_1(c_1(2(2(2(c_0(2(c_0(c_1(2(x1)))))))))))))))))))) -> 0'(2(1'(1'(2(1'(0'(2(0'(1'(1'(0'(2(0'(1'(0'(2(2(0'(2(x1)))))))))))))))))))) [1]
   0'(2(c_1(c_1(c_1(c_0(2(c_1(c_1(c_0(c_1(c_0(2(2(c_0(c_0(2(c_0(2(c_1(x1)))))))))))))))))))) -> 0'(1'(0'(1'(2(2(2(1'(1'(0'(2(2(1'(2(0'(0'(0'(0'(2(1'(x1)))))))))))))))))))) [1]
   0'(c_1(c_0(2(2(c_1(c_1(c_0(c_1(c_0(2(2(c_1(c_0(2(c_0(c_1(c_0(c_1(c_1(x1)))))))))))))))))))) -> 0'(1'(2(0'(0'(2(2(0'(0'(0'(0'(2(1'(2(1'(0'(1'(2(0'(2(x1)))))))))))))))))))) [1]
   0'(2(c_1(2(c_0(c_1(c_1(c_1(2(c_0(c_1(c_1(2(c_1(2(c_0(2(c_0(2(c_0(x1)))))))))))))))))))) -> 0'(1'(2(1'(1'(0'(1'(1'(2(1'(2(0'(1'(0'(1'(2(2(0'(2(2(x1)))))))))))))))))))) [1]
   0'(c_0(c_1(c_0(c_0(c_1(c_1(2(c_1(c_1(2(2(c_1(c_1(2(2(c_1(c_1(c_0(2(x1)))))))))))))))))))) -> 0'(1'(1'(0'(0'(2(0'(0'(2(0'(2(1'(1'(1'(1'(1'(0'(2(0'(2(x1)))))))))))))))))))) [1]
   0'(c_1(c_1(c_0(c_1(c_0(2(c_1(c_1(2(2(c_0(2(c_0(2(c_0(2(2(c_0(c_1(x1)))))))))))))))))))) -> 0'(2(0'(2(1'(0'(0'(1'(2(2(1'(2(2(1'(2(2(1'(2(2(0'(x1)))))))))))))))))))) [1]
   0'(c_1(c_0(c_1(c_1(c_1(c_1(2(c_0(2(2(2(2(2(2(c_1(c_0(2(c_0(c_1(x1)))))))))))))))))))) -> 0'(0'(0'(2(2(1'(0'(0'(1'(2(1'(0'(2(2(1'(0'(0'(2(2(1'(x1)))))))))))))))))))) [1]
   0'(c_0(2(2(c_0(c_0(c_1(c_0(2(2(c_1(c_1(2(2(c_1(c_0(2(2(c_0(c_1(x1)))))))))))))))))))) -> 0'(2(0'(2(2(1'(0'(0'(2(2(1'(2(1'(1'(0'(0'(2(0'(2(1'(x1)))))))))))))))))))) [1]
   0'(c_0(2(2(c_1(c_1(c_1(c_0(c_1(c_0(c_1(c_0(c_1(2(2(2(c_1(2(c_0(c_0(x1)))))))))))))))))))) -> 0'(1'(0'(2(0'(2(2(1'(0'(1'(0'(2(1'(2(1'(0'(1'(1'(1'(2(x1)))))))))))))))))))) [1]
   0'(c_1(c_1(c_0(c_0(2(c_0(2(c_1(c_1(c_1(2(c_1(2(c_1(c_0(c_0(c_1(c_1(c_1(x1)))))))))))))))))))) -> 0'(1'(0'(0'(2(2(0'(0'(2(2(0'(2(0'(0'(1'(2(1'(0'(1'(2(x1)))))))))))))))))))) [1]
   0'(c_1(c_1(c_0(2(c_1(2(c_1(c_1(c_0(c_1(c_1(2(c_1(c_0(c_1(c_0(c_1(c_1(c_1(x1)))))))))))))))))))) -> 0'(1'(1'(1'(2(1'(2(2(0'(1'(1'(0'(2(2(0'(0'(2(1'(0'(2(x1)))))))))))))))))))) [1]
   0'(2(c_1(c_1(c_1(2(2(c_0(c_0(c_0(2(c_1(c_0(c_1(2(2(c_1(c_0(2(c_0(x1)))))))))))))))))))) -> 0'(1'(0'(1'(0'(0'(0'(1'(0'(2(1'(1'(0'(0'(2(1'(2(0'(2(1'(x1)))))))))))))))))))) [1]
   0'(c_0(c_0(2(c_1(2(2(c_0(c_1(c_1(c_0(c_0(c_1(c_1(2(c_1(c_0(2(2(c_1(x1)))))))))))))))))))) -> 0'(2(0'(1'(1'(2(0'(1'(2(1'(2(1'(0'(2(2(0'(2(0'(1'(0'(x1)))))))))))))))))))) [1]
   0'(c_0(2(c_0(2(c_1(c_1(2(c_1(c_1(c_1(c_1(c_1(c_0(c_1(c_1(c_1(2(2(c_1(x1)))))))))))))))))))) -> 0'(2(0'(0'(2(1'(1'(2(2(0'(2(0'(1'(2(2(2(1'(1'(1'(2(x1)))))))))))))))))))) [1]
   0'(2(c_0(c_1(c_1(c_1(c_0(c_1(2(2(c_0(2(c_0(2(c_0(2(c_1(2(c_0(c_1(x1)))))))))))))))))))) -> 0'(2(2(0'(1'(2(2(2(2(1'(0'(2(1'(2(0'(0'(2(2(2(1'(x1)))))))))))))))))))) [1]
   0'(c_0(2(c_1(c_0(c_1(c_0(c_0(2(c_0(c_1(c_1(c_0(2(c_0(2(2(2(2(c_0(x1)))))))))))))))))))) -> 0'(2(2(0'(0'(0'(2(1'(0'(0'(0'(1'(1'(2(0'(1'(1'(0'(0'(0'(x1)))))))))))))))))))) [1]
   0'(c_1(c_1(c_0(2(2(c_0(c_1(2(2(2(c_0(2(2(c_1(2(c_1(2(c_1(c_0(x1)))))))))))))))))))) -> 0'(0'(2(0'(0'(2(0'(2(1'(0'(2(2(2(0'(0'(0'(2(1'(1'(2(x1)))))))))))))))))))) [1]
   0'(c_1(c_0(2(c_0(c_0(c_1(2(2(2(c_1(2(2(2(c_0(c_0(c_0(c_1(2(2(x1)))))))))))))))))))) -> 0'(1'(0'(1'(1'(2(1'(0'(0'(1'(0'(0'(2(2(2(1'(0'(2(0'(0'(x1)))))))))))))))))))) [1]
   0'(c_1(c_1(2(c_1(c_1(c_1(c_1(c_0(c_0(c_0(c_0(c_1(c_1(c_0(c_1(c_0(c_1(c_1(c_0(x1)))))))))))))))))))) -> 0'(0'(0'(1'(0'(1'(0'(1'(1'(1'(2(0'(1'(2(2(0'(2(2(0'(2(x1)))))))))))))))))))) [1]
   0'(c_0(2(c_0(c_0(c_0(2(c_1(2(2(2(c_1(c_1(c_1(c_0(2(c_1(c_1(c_0(c_0(x1)))))))))))))))))))) -> 0'(2(0'(1'(2(0'(1'(2(0'(1'(0'(1'(2(2(1'(2(1'(0'(0'(0'(x1)))))))))))))))))))) [1]
   0'(c_1(c_0(2(c_1(c_1(c_1(c_0(2(2(c_1(c_1(c_1(c_1(2(c_0(2(c_1(c_0(c_0(x1)))))))))))))))))))) -> 0'(2(1'(0'(2(0'(0'(1'(2(2(0'(0'(0'(1'(1'(1'(1'(0'(2(2(x1)))))))))))))))))))) [1]
   0'(2(c_1(c_1(c_0(2(c_1(c_1(c_1(c_1(2(2(c_0(c_1(c_1(c_1(2(2(c_1(c_1(x1)))))))))))))))))))) -> 0'(0'(2(0'(0'(1'(0'(2(2(1'(0'(1'(1'(0'(0'(2(0'(2(2(1'(x1)))))))))))))))))))) [1]
   0'(c_0(2(2(2(c_0(c_1(c_0(c_1(c_1(c_1(c_0(c_1(c_0(c_0(c_0(c_1(c_1(2(c_0(x1)))))))))))))))))))) -> 0'(2(0'(2(2(2(2(0'(2(2(1'(0'(0'(0'(0'(0'(0'(2(0'(0'(x1)))))))))))))))))))) [1]
   0'(2(c_0(2(c_1(c_0(c_0(c_1(2(c_0(2(c_0(c_1(c_0(c_1(c_1(c_1(2(2(c_1(x1)))))))))))))))))))) -> 0'(0'(1'(0'(1'(0'(1'(1'(2(1'(0'(0'(0'(1'(2(2(2(0'(1'(0'(x1)))))))))))))))))))) [1]
   0'(2(c_0(2(c_1(2(c_1(2(2(c_0(2(c_1(c_1(c_1(2(c_1(c_1(c_1(c_1(c_1(x1)))))))))))))))))))) -> 0'(1'(1'(1'(0'(2(1'(0'(1'(2(1'(0'(0'(0'(2(1'(1'(2(0'(1'(x1)))))))))))))))))))) [1]
   0'(2(c_1(c_0(c_1(2(2(c_0(c_0(c_1(2(c_0(2(2(2(2(2(2(c_1(c_1(x1)))))))))))))))))))) -> 0'(0'(0'(1'(2(2(0'(0'(0'(1'(2(0'(0'(0'(2(2(0'(1'(0'(2(x1)))))))))))))))))))) [1]
   0'(2(2(c_1(c_1(2(c_0(c_1(c_0(c_1(c_0(2(c_0(c_1(c_0(c_1(c_0(2(c_1(c_1(x1)))))))))))))))))))) -> 0'(1'(1'(0'(0'(1'(1'(0'(0'(2(2(1'(1'(2(2(0'(0'(0'(2(0'(x1)))))))))))))))))))) [1]
   0'(2(c_0(c_0(c_0(2(c_1(c_1(c_0(2(2(c_1(c_1(c_0(c_0(c_0(c_0(c_1(c_0(c_0(x1)))))))))))))))))))) -> 0'(0'(2(1'(0'(0'(0'(2(2(2(2(0'(0'(2(0'(2(1'(2(1'(2(x1)))))))))))))))))))) [1]
   0'(c_1(c_0(c_0(c_1(c_1(c_1(c_0(c_1(c_1(2(c_1(c_1(c_1(2(2(c_1(2(2(c_1(x1)))))))))))))))))))) -> 0'(0'(1'(1'(1'(2(1'(0'(2(0'(0'(0'(1'(2(2(0'(0'(1'(1'(1'(x1)))))))))))))))))))) [1]
   0'(c_1(c_1(c_1(c_1(c_1(c_1(2(2(c_0(2(c_0(2(2(c_0(2(c_1(c_0(c_1(c_0(x1)))))))))))))))))))) -> 0'(2(0'(1'(1'(0'(2(0'(0'(1'(1'(2(0'(1'(0'(0'(1'(0'(2(0'(x1)))))))))))))))))))) [1]
   0'(c_0(c_1(c_1(c_1(c_1(c_0(2(2(2(2(c_1(c_1(2(2(2(c_1(c_1(2(c_1(x1)))))))))))))))))))) -> 0'(1'(0'(0'(1'(1'(2(2(0'(2(2(0'(2(0'(0'(0'(2(2(1'(1'(x1)))))))))))))))))))) [1]
   0'(c_1(c_0(c_1(c_1(2(2(c_1(c_0(c_1(2(c_1(c_1(c_0(c_1(2(c_0(2(c_0(2(x1)))))))))))))))))))) -> 0'(2(0'(1'(0'(1'(1'(0'(0'(1'(0'(2(0'(0'(0'(2(2(0'(2(0'(x1)))))))))))))))))))) [1]
   0'(c_1(c_1(2(c_0(c_1(c_0(c_0(c_1(2(c_0(2(c_1(c_0(c_0(c_0(c_0(2(c_0(c_1(x1)))))))))))))))))))) -> 0'(0'(2(1'(2(2(2(1'(2(1'(0'(0'(0'(2(2(1'(0'(1'(2(0'(x1)))))))))))))))))))) [1]
   1'(2(2(c_0(2(c_0(2(c_1(2(c_1(2(c_1(c_0(c_0(c_1(c_0(c_0(2(c_0(c_1(x1)))))))))))))))))))) -> 1'(0'(1'(2(0'(1'(0'(0'(1'(0'(0'(0'(2(1'(0'(0'(1'(0'(0'(2(x1)))))))))))))))))))) [1]
   0'(c_0(2(c_0(c_1(2(2(c_0(c_0(c_1(2(2(c_0(c_0(2(2(c_1(c_1(c_0(c_1(x1)))))))))))))))))))) -> 0'(0'(1'(2(0'(0'(1'(1'(0'(2(0'(2(0'(0'(0'(0'(0'(2(0'(1'(x1)))))))))))))))))))) [1]
   0'(c_1(c_0(c_1(2(c_1(c_1(c_1(2(2(c_0(2(c_1(c_1(2(c_1(2(c_0(2(c_1(x1)))))))))))))))))))) -> 0'(2(1'(2(0'(0'(2(1'(2(2(1'(2(1'(2(0'(2(0'(0'(2(1'(x1)))))))))))))))))))) [1]
   0'(c_1(c_0(2(c_0(2(c_1(c_1(c_1(c_0(c_1(2(2(c_0(2(c_0(c_1(c_1(2(c_0(x1)))))))))))))))))))) -> 0'(0'(1'(2(0'(0'(0'(0'(0'(0'(1'(1'(0'(2(0'(2(1'(2(1'(0'(x1)))))))))))))))))))) [1]
   0'(c_1(2(c_0(c_0(c_1(2(c_0(2(c_0(c_0(c_1(c_0(2(c_0(c_0(2(c_1(2(c_0(x1)))))))))))))))))))) -> 0'(2(1'(2(0'(0'(0'(2(0'(0'(2(1'(2(2(0'(2(2(0'(0'(0'(x1)))))))))))))))))))) [1]
   0'(c_1(2(c_0(2(c_0(c_0(2(c_1(c_1(c_1(2(2(c_0(c_0(c_0(2(c_0(c_0(c_0(x1)))))))))))))))))))) -> 0'(1'(0'(0'(2(1'(0'(1'(1'(0'(1'(2(2(0'(1'(2(1'(0'(1'(0'(x1)))))))))))))))))))) [1]
   0'(c_0(2(2(c_1(2(c_0(c_1(2(2(c_0(c_1(c_0(c_0(c_0(2(2(c_0(c_0(c_0(x1)))))))))))))))))))) -> 0'(0'(0'(0'(2(0'(0'(0'(2(2(2(0'(2(0'(1'(0'(1'(0'(0'(0'(x1)))))))))))))))))))) [1]
   0'(2(2(c_0(2(c_0(c_1(c_1(2(2(2(c_0(2(2(c_0(2(c_0(c_1(2(c_0(x1)))))))))))))))))))) -> 0'(1'(1'(0'(0'(0'(2(0'(0'(1'(1'(1'(0'(1'(1'(0'(0'(0'(0'(2(x1)))))))))))))))))))) [1]
   0'(2(c_0(c_1(c_1(c_0(c_1(c_1(c_1(c_0(c_1(c_0(c_0(2(c_1(c_0(2(2(2(c_0(x1)))))))))))))))))))) -> 0'(2(2(2(0'(0'(2(0'(0'(2(0'(1'(2(1'(2(2(1'(2(1'(2(x1)))))))))))))))))))) [1]
   0'(c_1(2(c_0(c_1(c_0(2(c_0(2(c_1(2(2(c_1(c_1(c_1(2(c_0(c_1(2(c_1(x1)))))))))))))))))))) -> 0'(0'(2(2(2(0'(0'(0'(1'(0'(0'(0'(0'(2(1'(2(1'(1'(2(1'(x1)))))))))))))))))))) [1]
   0'(c_0(c_0(2(c_0(c_0(c_0(2(c_1(2(2(c_1(c_1(c_0(c_0(c_0(c_1(c_1(c_1(2(x1)))))))))))))))))))) -> 0'(2(2(1'(0'(1'(0'(2(2(2(1'(1'(2(0'(0'(0'(0'(0'(1'(2(x1)))))))))))))))))))) [1]
   0'(c_0(c_1(2(2(c_1(c_0(c_1(c_1(c_1(c_0(c_0(c_1(2(c_1(2(2(2(c_0(2(x1)))))))))))))))))))) -> 0'(1'(1'(2(2(0'(0'(2(0'(2(2(0'(0'(1'(0'(0'(0'(0'(0'(0'(x1)))))))))))))))))))) [1]
   0'(c_0(c_0(c_0(c_1(2(c_0(2(c_0(c_1(2(2(c_1(c_1(c_1(c_1(c_1(c_0(2(2(x1)))))))))))))))))))) -> 0'(2(0'(0'(1'(0'(1'(0'(0'(2(0'(0'(2(0'(2(1'(1'(0'(1'(2(x1)))))))))))))))))))) [1]
   0'(c_1(2(2(c_0(c_1(c_1(c_1(2(c_1(c_0(c_0(2(c_0(c_1(2(2(c_0(c_1(2(x1)))))))))))))))))))) -> 0'(2(0'(0'(2(0'(2(2(1'(0'(1'(1'(1'(0'(2(0'(1'(2(0'(0'(x1)))))))))))))))))))) [1]
   0'(c_1(c_0(c_0(c_1(c_0(2(c_1(2(2(c_1(2(2(c_1(c_1(c_1(c_1(2(2(c_1(x1)))))))))))))))))))) -> 0'(0'(1'(1'(1'(0'(1'(0'(0'(0'(2(2(1'(1'(2(0'(0'(2(1'(2(x1)))))))))))))))))))) [1]
   0'(2(c_0(2(c_1(c_1(2(c_0(c_0(c_0(2(c_1(2(c_1(2(c_0(c_0(c_1(2(c_0(x1)))))))))))))))))))) -> 0'(2(2(0'(1'(2(0'(1'(0'(0'(0'(0'(2(1'(0'(0'(0'(0'(1'(2(x1)))))))))))))))))))) [1]
   0'(2(c_1(c_1(c_1(c_1(c_0(c_0(c_0(c_0(2(c_1(2(c_0(c_0(2(c_1(c_0(2(c_1(x1)))))))))))))))))))) -> 0'(0'(0'(1'(0'(1'(1'(2(0'(2(0'(0'(2(2(2(2(1'(0'(2(1'(x1)))))))))))))))))))) [1]
   0'(c_1(c_0(c_0(2(2(c_0(c_1(2(2(c_1(2(c_1(c_0(c_1(2(2(2(c_1(c_0(x1)))))))))))))))))))) -> 0'(0'(2(2(0'(2(2(2(1'(0'(2(1'(2(0'(2(2(0'(0'(2(2(x1)))))))))))))))))))) [1]
   0'(c_0(c_1(c_0(2(c_0(2(c_1(c_1(c_1(c_0(c_0(c_0(2(2(c_1(2(c_1(c_1(2(x1)))))))))))))))))))) -> 0'(2(0'(0'(2(2(0'(2(1'(1'(2(1'(2(1'(0'(2(2(0'(2(0'(x1)))))))))))))))))))) [1]
   0'(c_0(2(c_1(c_1(c_0(2(2(c_1(c_1(c_1(c_1(2(2(c_0(c_0(2(c_1(c_0(c_0(x1)))))))))))))))))))) -> 0'(2(2(1'(1'(1'(2(1'(0'(1'(2(1'(2(1'(1'(2(1'(0'(0'(0'(x1)))))))))))))))))))) [1]
   0'(2(c_0(2(c_0(2(c_0(2(c_1(c_1(c_0(2(c_1(c_1(c_1(c_1(2(c_0(2(c_0(x1)))))))))))))))))))) -> 0'(1'(0'(2(1'(2(1'(1'(0'(0'(2(2(2(0'(0'(1'(2(2(0'(0'(x1)))))))))))))))))))) [1]
   0'(c_1(c_0(2(2(2(c_1(2(c_1(c_1(c_1(2(c_1(c_0(2(c_1(c_1(c_1(c_0(c_1(x1)))))))))))))))))))) -> 0'(0'(1'(2(2(2(1'(0'(0'(1'(1'(2(1'(1'(2(0'(0'(1'(2(0'(x1)))))))))))))))))))) [1]
   0'(2(2(c_0(c_0(2(c_1(c_0(2(c_0(2(c_0(2(c_0(c_1(c_1(2(2(c_1(c_0(x1)))))))))))))))))))) -> 0'(2(0'(0'(0'(0'(0'(0'(1'(2(0'(1'(2(2(0'(1'(0'(1'(0'(1'(x1)))))))))))))))))))) [1]
   0'(c_1(c_1(c_0(2(c_1(c_1(c_0(c_0(c_1(c_1(c_1(2(2(2(c_0(2(c_0(c_0(2(x1)))))))))))))))))))) -> 0'(1'(2(1'(0'(2(1'(0'(1'(2(2(2(0'(0'(2(0'(2(2(1'(2(x1)))))))))))))))))))) [1]
   0'(c_0(c_1(c_0(c_1(c_0(2(c_0(c_0(c_1(2(c_1(c_1(2(2(2(c_1(c_0(2(c_1(x1)))))))))))))))))))) -> 0'(2(1'(0'(1'(0'(0'(0'(2(0'(0'(1'(2(0'(2(1'(0'(0'(2(0'(x1)))))))))))))))))))) [1]
   0'(c_1(c_1(c_1(c_1(2(c_0(c_0(c_0(2(2(2(2(c_1(c_0(2(2(2(c_0(c_1(x1)))))))))))))))))))) -> 0'(2(0'(0'(0'(1'(2(0'(1'(2(2(2(1'(2(1'(1'(1'(2(1'(2(x1)))))))))))))))))))) [1]
   0'(2(c_1(2(c_0(c_1(c_1(2(2(c_0(c_1(c_1(c_0(c_1(2(c_1(c_0(c_0(c_0(c_1(x1)))))))))))))))))))) -> 0'(0'(1'(0'(0'(2(0'(2(0'(1'(2(1'(0'(0'(0'(1'(0'(0'(2(1'(x1)))))))))))))))))))) [1]
   0'(c_0(2(2(c_0(c_1(c_0(2(c_1(2(c_1(c_1(2(2(2(c_1(c_1(2(c_0(2(x1)))))))))))))))))))) -> 0'(0'(1'(2(1'(2(1'(2(1'(2(0'(1'(2(1'(0'(0'(0'(1'(2(0'(x1)))))))))))))))))))) [1]
   0'(2(c_0(2(c_0(2(c_1(2(2(c_0(c_1(c_1(c_1(2(c_1(c_1(c_0(2(c_0(c_1(x1)))))))))))))))))))) -> 0'(2(0'(0'(1'(1'(1'(0'(2(1'(1'(2(0'(0'(0'(2(2(1'(1'(0'(x1)))))))))))))))))))) [1]
   0'(2(2(c_0(c_1(2(2(c_0(c_1(c_1(2(c_1(c_1(2(2(2(c_1(c_0(c_1(2(x1)))))))))))))))))))) -> 0'(2(1'(0'(0'(0'(2(0'(1'(1'(1'(0'(1'(0'(2(2(1'(1'(2(2(x1)))))))))))))))))))) [1]
   0'(2(2(2(2(c_1(c_0(c_0(c_0(2(2(c_1(c_0(c_1(c_1(c_1(c_0(c_1(2(2(x1)))))))))))))))))))) -> 0'(0'(2(2(0'(2(0'(2(0'(1'(1'(2(0'(0'(0'(0'(2(1'(1'(2(x1)))))))))))))))))))) [1]
   0'(c_0(c_0(c_1(c_0(2(c_0(2(c_1(2(c_0(c_1(c_1(2(c_1(c_1(2(2(c_1(c_1(x1)))))))))))))))))))) -> 0'(1'(2(0'(2(2(1'(1'(1'(0'(1'(0'(2(1'(2(1'(2(1'(2(1'(x1)))))))))))))))))))) [1]
   0'(c_1(c_0(c_0(2(2(c_0(2(2(c_1(2(c_1(2(c_1(c_1(c_0(c_0(2(2(2(x1)))))))))))))))))))) -> 0'(2(0'(1'(2(1'(0'(1'(0'(0'(0'(0'(0'(0'(2(0'(1'(0'(2(1'(x1)))))))))))))))))))) [1]
   0'(c_1(2(2(2(c_0(c_0(2(c_0(c_1(2(c_1(c_0(c_1(c_0(c_0(2(c_0(c_0(2(x1)))))))))))))))))))) -> 0'(0'(0'(1'(2(0'(2(1'(2(2(0'(0'(0'(1'(0'(1'(0'(0'(1'(2(x1)))))))))))))))))))) [1]
   0'(2(c_1(c_1(c_1(c_0(c_0(c_1(2(c_1(2(c_1(c_1(2(c_0(2(c_1(c_0(c_1(2(x1)))))))))))))))))))) -> 0'(1'(0'(1'(0'(2(0'(0'(0'(1'(1'(1'(2(0'(0'(0'(1'(2(2(2(x1)))))))))))))))))))) [1]
   0'(2(2(c_1(c_1(c_1(c_1(c_0(c_0(c_1(c_0(c_1(c_0(2(2(c_1(c_1(2(2(c_1(x1)))))))))))))))))))) -> 0'(2(2(2(0'(2(2(1'(1'(2(2(2(2(0'(2(0'(0'(2(0'(2(x1)))))))))))))))))))) [1]
   0'(2(2(c_1(2(c_0(c_1(c_1(c_0(c_0(c_1(c_1(2(c_0(c_1(c_1(c_0(2(2(2(x1)))))))))))))))))))) -> 0'(2(2(2(0'(2(0'(0'(2(2(0'(0'(2(1'(1'(0'(0'(2(1'(1'(x1)))))))))))))))))))) [1]
   0'(2(c_0(c_0(c_1(c_0(2(c_1(c_0(2(2(c_0(c_1(c_0(2(c_1(2(c_1(c_1(2(x1)))))))))))))))))))) -> 0'(2(1'(0'(2(1'(0'(2(1'(2(1'(0'(1'(2(0'(1'(0'(0'(0'(0'(x1)))))))))))))))))))) [1]
   0'(2(2(c_1(c_0(c_0(c_1(c_1(2(c_0(2(2(c_0(c_1(c_1(2(2(c_1(c_0(c_0(x1)))))))))))))))))))) -> 0'(2(1'(0'(2(2(0'(0'(0'(0'(0'(1'(2(1'(0'(1'(1'(2(1'(1'(x1)))))))))))))))))))) [1]
   0'(c_1(2(2(2(2(2(2(2(c_1(c_0(2(2(c_1(c_1(2(c_1(2(c_1(c_1(x1)))))))))))))))))))) -> 0'(2(1'(0'(2(1'(0'(1'(2(0'(0'(0'(1'(2(0'(0'(0'(0'(0'(1'(x1)))))))))))))))))))) [1]
   0'(c_1(c_1(c_0(2(c_0(2(c_1(2(c_1(2(2(c_0(2(c_1(2(2(c_1(c_1(c_0(x1)))))))))))))))))))) -> 0'(2(0'(1'(1'(1'(0'(1'(0'(1'(2(0'(2(2(1'(0'(2(0'(0'(2(x1)))))))))))))))))))) [1]
   0'(c_1(c_0(c_1(c_1(2(2(c_0(c_0(c_0(2(2(2(c_1(c_1(c_0(c_1(c_1(c_1(c_1(x1)))))))))))))))))))) -> 0'(0'(2(2(2(2(2(2(1'(1'(0'(1'(2(2(0'(1'(2(0'(2(1'(x1)))))))))))))))))))) [1]
   0'(c_0(c_1(c_1(c_0(2(2(c_1(c_1(c_1(c_1(c_1(2(c_0(2(c_1(c_0(2(2(c_1(x1)))))))))))))))))))) -> 0'(2(0'(1'(1'(0'(1'(2(2(2(0'(0'(2(2(2(0'(2(0'(0'(0'(x1)))))))))))))))))))) [1]
   0'(2(c_1(c_1(2(c_1(2(2(2(c_0(c_0(c_1(c_0(2(c_1(c_1(c_1(2(2(c_0(x1)))))))))))))))))))) -> 0'(0'(0'(2(1'(0'(1'(2(1'(2(1'(1'(1'(2(0'(0'(0'(1'(1'(0'(x1)))))))))))))))))))) [1]
   0'(c_1(2(c_0(c_0(2(c_1(c_1(c_0(2(c_1(c_0(c_1(c_1(c_1(c_0(c_1(c_1(c_0(c_0(x1)))))))))))))))))))) -> 0'(0'(0'(2(0'(1'(1'(2(2(0'(2(0'(0'(2(1'(0'(0'(2(1'(1'(x1)))))))))))))))))))) [1]
   0'(c_0(c_1(c_0(2(2(2(2(c_1(c_0(2(c_1(c_0(2(2(c_0(c_1(c_1(2(c_1(x1)))))))))))))))))))) -> 0'(0'(1'(0'(0'(0'(0'(2(2(2(2(0'(0'(0'(1'(0'(0'(2(1'(1'(x1)))))))))))))))))))) [1]
   0'(c_1(c_1(c_0(c_1(c_1(c_1(c_1(2(c_0(2(c_0(2(2(2(c_0(c_0(c_0(2(c_1(x1)))))))))))))))))))) -> 0'(1'(0'(1'(2(2(2(0'(2(2(1'(1'(2(2(2(0'(0'(0'(1'(0'(x1)))))))))))))))))))) [1]
   0'(c_0(c_1(c_0(c_1(2(2(2(c_1(c_1(2(c_1(2(c_1(c_0(2(c_0(c_1(2(c_0(x1)))))))))))))))))))) -> 0'(2(0'(1'(1'(2(2(2(1'(0'(0'(2(1'(0'(0'(0'(0'(2(0'(2(x1)))))))))))))))))))) [1]
   0'(c_0(c_0(c_1(2(c_0(2(2(c_1(c_1(c_0(c_1(c_0(c_1(2(c_0(c_1(c_1(c_1(c_1(x1)))))))))))))))))))) -> 0'(1'(2(0'(1'(2(1'(0'(1'(0'(1'(0'(2(0'(1'(1'(1'(1'(0'(2(x1)))))))))))))))))))) [1]
   0'(c_0(c_1(2(c_0(c_1(2(c_0(c_1(c_1(c_1(c_0(2(2(c_1(c_0(2(c_1(c_1(2(x1)))))))))))))))))))) -> 0'(1'(2(2(0'(2(2(2(1'(0'(1'(2(2(1'(0'(0'(1'(1'(1'(2(x1)))))))))))))))))))) [1]
   0'(c_0(c_1(2(2(c_1(c_1(c_0(2(2(2(c_0(c_1(c_1(c_1(c_1(c_0(c_1(2(c_1(x1)))))))))))))))))))) -> 0'(1'(2(2(0'(1'(1'(1'(2(0'(2(0'(0'(1'(2(0'(2(1'(2(0'(x1)))))))))))))))))))) [1]
   0'(c_1(c_1(2(c_0(2(c_0(2(2(c_1(c_1(2(c_0(c_1(2(2(c_0(c_1(c_0(c_0(x1)))))))))))))))))))) -> 0'(1'(2(0'(0'(0'(2(1'(2(0'(1'(2(2(2(2(0'(1'(1'(0'(1'(x1)))))))))))))))))))) [1]
   0'(2(c_1(c_1(2(c_0(2(2(2(c_0(c_1(2(c_0(2(c_0(2(2(c_0(c_0(c_1(x1)))))))))))))))))))) -> 0'(0'(2(1'(2(0'(0'(0'(2(0'(1'(2(2(2(1'(0'(1'(1'(1'(0'(x1)))))))))))))))))))) [1]
   0'(c_1(c_0(c_1(c_0(c_1(c_1(c_0(c_0(c_0(c_1(c_0(2(c_1(c_1(2(c_0(c_1(c_0(c_1(x1)))))))))))))))))))) -> 0'(0'(2(1'(1'(0'(0'(2(0'(2(1'(0'(1'(1'(0'(2(2(0'(1'(2(x1)))))))))))))))))))) [1]
   0'(c_0(c_1(2(2(c_0(c_1(c_1(2(c_0(c_0(2(2(c_1(c_0(2(c_1(2(c_1(c_0(x1)))))))))))))))))))) -> 0'(2(2(0'(2(0'(2(1'(0'(2(0'(0'(2(2(1'(0'(0'(0'(2(0'(x1)))))))))))))))))))) [1]
   0'(c_0(c_0(2(2(c_1(c_1(2(2(c_0(c_0(2(c_1(2(c_0(c_1(c_1(c_0(2(2(x1)))))))))))))))))))) -> 0'(2(2(2(1'(0'(0'(2(1'(2(1'(2(1'(2(1'(1'(1'(2(0'(2(x1)))))))))))))))))))) [1]
   0'(c_1(2(c_1(c_0(c_1(2(2(c_1(c_1(c_0(c_0(c_1(c_1(2(2(c_1(c_0(c_1(c_1(x1)))))))))))))))))))) -> 0'(2(2(2(0'(2(0'(2(0'(1'(2(1'(2(2(2(1'(0'(0'(1'(0'(x1)))))))))))))))))))) [1]
   0'(2(2(c_1(c_1(2(2(c_1(c_0(2(c_1(2(c_1(c_1(2(2(2(c_0(2(c_0(x1)))))))))))))))))))) -> 0'(2(1'(2(2(2(1'(0'(0'(1'(0'(0'(0'(1'(2(1'(1'(2(2(1'(x1)))))))))))))))))))) [1]
   0'(c_1(c_1(c_1(2(2(c_1(2(c_1(c_1(c_1(c_0(c_0(c_1(c_1(c_1(2(c_1(c_1(c_0(x1)))))))))))))))))))) -> 0'(0'(1'(0'(2(0'(1'(1'(1'(2(0'(2(1'(2(2(0'(2(1'(2(1'(x1)))))))))))))))))))) [1]
   0'(c_0(2(c_0(c_1(c_1(2(c_0(2(c_1(c_0(2(2(c_1(c_1(c_0(c_1(2(c_0(c_1(x1)))))))))))))))))))) -> 0'(1'(2(0'(2(0'(1'(0'(1'(2(1'(0'(0'(2(2(1'(0'(1'(0'(1'(x1)))))))))))))))))))) [1]
   0'(c_1(c_1(2(2(2(2(c_1(c_0(2(c_0(c_0(c_1(2(2(c_1(2(2(2(2(x1)))))))))))))))))))) -> 0'(1'(0'(0'(2(0'(0'(1'(2(1'(2(0'(1'(2(2(1'(0'(2(0'(2(x1)))))))))))))))))))) [1]
   0'(2(c_0(c_1(2(c_1(c_1(c_1(c_1(2(c_0(2(c_1(2(c_0(c_1(2(2(c_0(c_1(x1)))))))))))))))))))) -> 0'(1'(1'(1'(1'(2(1'(0'(0'(1'(1'(0'(2(1'(0'(0'(2(0'(0'(1'(x1)))))))))))))))))))) [1]
   0'(c_1(c_0(c_1(c_1(2(c_1(c_0(c_0(c_0(2(2(2(c_1(2(c_1(2(c_1(c_0(2(x1)))))))))))))))))))) -> 0'(1'(0'(0'(2(2(1'(2(1'(0'(1'(0'(0'(0'(2(0'(0'(2(1'(2(x1)))))))))))))))))))) [1]
   0'(c_0(c_1(c_0(2(c_1(2(2(2(2(c_0(c_1(2(c_0(c_1(c_1(2(2(c_0(2(x1)))))))))))))))))))) -> 0'(0'(2(1'(1'(0'(0'(2(2(2(0'(1'(2(2(0'(1'(2(2(0'(2(x1)))))))))))))))))))) [1]
   0'(c_1(c_1(c_0(c_1(2(c_1(2(c_0(2(2(c_1(c_0(c_0(2(c_0(c_1(c_0(c_1(c_1(x1)))))))))))))))))))) -> 0'(0'(0'(1'(2(0'(2(2(2(0'(1'(0'(1'(2(1'(1'(1'(0'(2(0'(x1)))))))))))))))))))) [1]
   encArg(2(x_1)) -> 2(encArg(x_1)) [0]
   encArg(cons_0(x_1)) -> 0'(encArg(x_1)) [0]
   encArg(cons_1(x_1)) -> 1'(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]

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_0(c_1(c_0(2(2(c_1(2(c_0(c_0(c_1(c_1(2(2(2(c_1(c_1(2(c_1(c_1(x1)))))))))))))))))))) -> 0'(2(0'(2(2(0'(0'(1'(2(0'(2(0'(0'(1'(1'(0'(0'(2(1'(1'(x1)))))))))))))))))))) [1]
   0'(c_1(c_0(c_1(2(c_1(c_1(c_1(c_0(c_0(c_1(c_1(2(2(2(c_0(2(c_0(c_1(2(x1)))))))))))))))))))) -> 0'(2(1'(1'(2(1'(0'(2(0'(1'(1'(0'(2(0'(1'(0'(2(2(0'(2(x1)))))))))))))))))))) [1]
   0'(2(c_1(c_1(c_1(c_0(2(c_1(c_1(c_0(c_1(c_0(2(2(c_0(c_0(2(c_0(2(c_1(x1)))))))))))))))))))) -> 0'(1'(0'(1'(2(2(2(1'(1'(0'(2(2(1'(2(0'(0'(0'(0'(2(1'(x1)))))))))))))))))))) [1]
   0'(c_1(c_0(2(2(c_1(c_1(c_0(c_1(c_0(2(2(c_1(c_0(2(c_0(c_1(c_0(c_1(c_1(x1)))))))))))))))))))) -> 0'(1'(2(0'(0'(2(2(0'(0'(0'(0'(2(1'(2(1'(0'(1'(2(0'(2(x1)))))))))))))))))))) [1]
   0'(2(c_1(2(c_0(c_1(c_1(c_1(2(c_0(c_1(c_1(2(c_1(2(c_0(2(c_0(2(c_0(x1)))))))))))))))))))) -> 0'(1'(2(1'(1'(0'(1'(1'(2(1'(2(0'(1'(0'(1'(2(2(0'(2(2(x1)))))))))))))))))))) [1]
   0'(c_0(c_1(c_0(c_0(c_1(c_1(2(c_1(c_1(2(2(c_1(c_1(2(2(c_1(c_1(c_0(2(x1)))))))))))))))))))) -> 0'(1'(1'(0'(0'(2(0'(0'(2(0'(2(1'(1'(1'(1'(1'(0'(2(0'(2(x1)))))))))))))))))))) [1]
   0'(c_1(c_1(c_0(c_1(c_0(2(c_1(c_1(2(2(c_0(2(c_0(2(c_0(2(2(c_0(c_1(x1)))))))))))))))))))) -> 0'(2(0'(2(1'(0'(0'(1'(2(2(1'(2(2(1'(2(2(1'(2(2(0'(x1)))))))))))))))))))) [1]
   0'(c_1(c_0(c_1(c_1(c_1(c_1(2(c_0(2(2(2(2(2(2(c_1(c_0(2(c_0(c_1(x1)))))))))))))))))))) -> 0'(0'(0'(2(2(1'(0'(0'(1'(2(1'(0'(2(2(1'(0'(0'(2(2(1'(x1)))))))))))))))))))) [1]
   0'(c_0(2(2(c_0(c_0(c_1(c_0(2(2(c_1(c_1(2(2(c_1(c_0(2(2(c_0(c_1(x1)))))))))))))))))))) -> 0'(2(0'(2(2(1'(0'(0'(2(2(1'(2(1'(1'(0'(0'(2(0'(2(1'(x1)))))))))))))))))))) [1]
   0'(c_0(2(2(c_1(c_1(c_1(c_0(c_1(c_0(c_1(c_0(c_1(2(2(2(c_1(2(c_0(c_0(x1)))))))))))))))))))) -> 0'(1'(0'(2(0'(2(2(1'(0'(1'(0'(2(1'(2(1'(0'(1'(1'(1'(2(x1)))))))))))))))))))) [1]
   0'(c_1(c_1(c_0(c_0(2(c_0(2(c_1(c_1(c_1(2(c_1(2(c_1(c_0(c_0(c_1(c_1(c_1(x1)))))))))))))))))))) -> 0'(1'(0'(0'(2(2(0'(0'(2(2(0'(2(0'(0'(1'(2(1'(0'(1'(2(x1)))))))))))))))))))) [1]
   0'(c_1(c_1(c_0(2(c_1(2(c_1(c_1(c_0(c_1(c_1(2(c_1(c_0(c_1(c_0(c_1(c_1(c_1(x1)))))))))))))))))))) -> 0'(1'(1'(1'(2(1'(2(2(0'(1'(1'(0'(2(2(0'(0'(2(1'(0'(2(x1)))))))))))))))))))) [1]
   0'(2(c_1(c_1(c_1(2(2(c_0(c_0(c_0(2(c_1(c_0(c_1(2(2(c_1(c_0(2(c_0(x1)))))))))))))))))))) -> 0'(1'(0'(1'(0'(0'(0'(1'(0'(2(1'(1'(0'(0'(2(1'(2(0'(2(1'(x1)))))))))))))))))))) [1]
   0'(c_0(c_0(2(c_1(2(2(c_0(c_1(c_1(c_0(c_0(c_1(c_1(2(c_1(c_0(2(2(c_1(x1)))))))))))))))))))) -> 0'(2(0'(1'(1'(2(0'(1'(2(1'(2(1'(0'(2(2(0'(2(0'(1'(0'(x1)))))))))))))))))))) [1]
   0'(c_0(2(c_0(2(c_1(c_1(2(c_1(c_1(c_1(c_1(c_1(c_0(c_1(c_1(c_1(2(2(c_1(x1)))))))))))))))))))) -> 0'(2(0'(0'(2(1'(1'(2(2(0'(2(0'(1'(2(2(2(1'(1'(1'(2(x1)))))))))))))))))))) [1]
   0'(2(c_0(c_1(c_1(c_1(c_0(c_1(2(2(c_0(2(c_0(2(c_0(2(c_1(2(c_0(c_1(x1)))))))))))))))))))) -> 0'(2(2(0'(1'(2(2(2(2(1'(0'(2(1'(2(0'(0'(2(2(2(1'(x1)))))))))))))))))))) [1]
   0'(c_0(2(c_1(c_0(c_1(c_0(c_0(2(c_0(c_1(c_1(c_0(2(c_0(2(2(2(2(c_0(x1)))))))))))))))))))) -> 0'(2(2(0'(0'(0'(2(1'(0'(0'(0'(1'(1'(2(0'(1'(1'(0'(0'(0'(x1)))))))))))))))))))) [1]
   0'(c_1(c_1(c_0(2(2(c_0(c_1(2(2(2(c_0(2(2(c_1(2(c_1(2(c_1(c_0(x1)))))))))))))))))))) -> 0'(0'(2(0'(0'(2(0'(2(1'(0'(2(2(2(0'(0'(0'(2(1'(1'(2(x1)))))))))))))))))))) [1]
   0'(c_1(c_0(2(c_0(c_0(c_1(2(2(2(c_1(2(2(2(c_0(c_0(c_0(c_1(2(2(x1)))))))))))))))))))) -> 0'(1'(0'(1'(1'(2(1'(0'(0'(1'(0'(0'(2(2(2(1'(0'(2(0'(0'(x1)))))))))))))))))))) [1]
   0'(c_1(c_1(2(c_1(c_1(c_1(c_1(c_0(c_0(c_0(c_0(c_1(c_1(c_0(c_1(c_0(c_1(c_1(c_0(x1)))))))))))))))))))) -> 0'(0'(0'(1'(0'(1'(0'(1'(1'(1'(2(0'(1'(2(2(0'(2(2(0'(2(x1)))))))))))))))))))) [1]
   0'(c_0(2(c_0(c_0(c_0(2(c_1(2(2(2(c_1(c_1(c_1(c_0(2(c_1(c_1(c_0(c_0(x1)))))))))))))))))))) -> 0'(2(0'(1'(2(0'(1'(2(0'(1'(0'(1'(2(2(1'(2(1'(0'(0'(0'(x1)))))))))))))))))))) [1]
   0'(c_1(c_0(2(c_1(c_1(c_1(c_0(2(2(c_1(c_1(c_1(c_1(2(c_0(2(c_1(c_0(c_0(x1)))))))))))))))))))) -> 0'(2(1'(0'(2(0'(0'(1'(2(2(0'(0'(0'(1'(1'(1'(1'(0'(2(2(x1)))))))))))))))))))) [1]
   0'(2(c_1(c_1(c_0(2(c_1(c_1(c_1(c_1(2(2(c_0(c_1(c_1(c_1(2(2(c_1(c_1(x1)))))))))))))))))))) -> 0'(0'(2(0'(0'(1'(0'(2(2(1'(0'(1'(1'(0'(0'(2(0'(2(2(1'(x1)))))))))))))))))))) [1]
   0'(c_0(2(2(2(c_0(c_1(c_0(c_1(c_1(c_1(c_0(c_1(c_0(c_0(c_0(c_1(c_1(2(c_0(x1)))))))))))))))))))) -> 0'(2(0'(2(2(2(2(0'(2(2(1'(0'(0'(0'(0'(0'(0'(2(0'(0'(x1)))))))))))))))))))) [1]
   0'(2(c_0(2(c_1(c_0(c_0(c_1(2(c_0(2(c_0(c_1(c_0(c_1(c_1(c_1(2(2(c_1(x1)))))))))))))))))))) -> 0'(0'(1'(0'(1'(0'(1'(1'(2(1'(0'(0'(0'(1'(2(2(2(0'(1'(0'(x1)))))))))))))))))))) [1]
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   0'(2(c_1(c_1(2(c_0(2(2(2(c_0(c_1(2(c_0(2(c_0(2(2(c_0(c_0(c_1(x1)))))))))))))))))))) -> 0'(0'(2(1'(2(0'(0'(0'(2(0'(1'(2(2(2(1'(0'(1'(1'(1'(0'(x1)))))))))))))))))))) [1]
   0'(c_1(c_0(c_1(c_0(c_1(c_1(c_0(c_0(c_0(c_1(c_0(2(c_1(c_1(2(c_0(c_1(c_0(c_1(x1)))))))))))))))))))) -> 0'(0'(2(1'(1'(0'(0'(2(0'(2(1'(0'(1'(1'(0'(2(2(0'(1'(2(x1)))))))))))))))))))) [1]
   0'(c_0(c_1(2(2(c_0(c_1(c_1(2(c_0(c_0(2(2(c_1(c_0(2(c_1(2(c_1(c_0(x1)))))))))))))))))))) -> 0'(2(2(0'(2(0'(2(1'(0'(2(0'(0'(2(2(1'(0'(0'(0'(2(0'(x1)))))))))))))))))))) [1]
   0'(c_0(c_0(2(2(c_1(c_1(2(2(c_0(c_0(2(c_1(2(c_0(c_1(c_1(c_0(2(2(x1)))))))))))))))))))) -> 0'(2(2(2(1'(0'(0'(2(1'(2(1'(2(1'(2(1'(1'(1'(2(0'(2(x1)))))))))))))))))))) [1]
   0'(c_1(2(c_1(c_0(c_1(2(2(c_1(c_1(c_0(c_0(c_1(c_1(2(2(c_1(c_0(c_1(c_1(x1)))))))))))))))))))) -> 0'(2(2(2(0'(2(0'(2(0'(1'(2(1'(2(2(2(1'(0'(0'(1'(0'(x1)))))))))))))))))))) [1]
   0'(2(2(c_1(c_1(2(2(c_1(c_0(2(c_1(2(c_1(c_1(2(2(2(c_0(2(c_0(x1)))))))))))))))))))) -> 0'(2(1'(2(2(2(1'(0'(0'(1'(0'(0'(0'(1'(2(1'(1'(2(2(1'(x1)))))))))))))))))))) [1]
   0'(c_1(c_1(c_1(2(2(c_1(2(c_1(c_1(c_1(c_0(c_0(c_1(c_1(c_1(2(c_1(c_1(c_0(x1)))))))))))))))))))) -> 0'(0'(1'(0'(2(0'(1'(1'(1'(2(0'(2(1'(2(2(0'(2(1'(2(1'(x1)))))))))))))))))))) [1]
   0'(c_0(2(c_0(c_1(c_1(2(c_0(2(c_1(c_0(2(2(c_1(c_1(c_0(c_1(2(c_0(c_1(x1)))))))))))))))))))) -> 0'(1'(2(0'(2(0'(1'(0'(1'(2(1'(0'(0'(2(2(1'(0'(1'(0'(1'(x1)))))))))))))))))))) [1]
   0'(c_1(c_1(2(2(2(2(c_1(c_0(2(c_0(c_0(c_1(2(2(c_1(2(2(2(2(x1)))))))))))))))))))) -> 0'(1'(0'(0'(2(0'(0'(1'(2(1'(2(0'(1'(2(2(1'(0'(2(0'(2(x1)))))))))))))))))))) [1]
   0'(2(c_0(c_1(2(c_1(c_1(c_1(c_1(2(c_0(2(c_1(2(c_0(c_1(2(2(c_0(c_1(x1)))))))))))))))))))) -> 0'(1'(1'(1'(1'(2(1'(0'(0'(1'(1'(0'(2(1'(0'(0'(2(0'(0'(1'(x1)))))))))))))))))))) [1]
   0'(c_1(c_0(c_1(c_1(2(c_1(c_0(c_0(c_0(2(2(2(c_1(2(c_1(2(c_1(c_0(2(x1)))))))))))))))))))) -> 0'(1'(0'(0'(2(2(1'(2(1'(0'(1'(0'(0'(0'(2(0'(0'(2(1'(2(x1)))))))))))))))))))) [1]
   0'(c_0(c_1(c_0(2(c_1(2(2(2(2(c_0(c_1(2(c_0(c_1(c_1(2(2(c_0(2(x1)))))))))))))))))))) -> 0'(0'(2(1'(1'(0'(0'(2(2(2(0'(1'(2(2(0'(1'(2(2(0'(2(x1)))))))))))))))))))) [1]
   0'(c_1(c_1(c_0(c_1(2(c_1(2(c_0(2(2(c_1(c_0(c_0(2(c_0(c_1(c_0(c_1(c_1(x1)))))))))))))))))))) -> 0'(0'(0'(1'(2(0'(2(2(2(0'(1'(0'(1'(2(1'(1'(1'(0'(2(0'(x1)))))))))))))))))))) [1]
   encArg(2(x_1)) -> 2(encArg(x_1)) [0]
   encArg(cons_0(x_1)) -> 0'(encArg(x_1)) [0]
   encArg(cons_1(x_1)) -> 1'(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]

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

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

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

   encArg(v0) -> null_encArg [0]
   encode_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]

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

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

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

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

   0'(c_0(c_1(c_0(2(2(c_1(2(c_0(c_0(c_1(c_1(2(2(2(c_1(c_1(2(c_1(c_1(x1)))))))))))))))))))) -> 0'(2(0'(2(2(0'(0'(1'(2(0'(2(0'(0'(1'(1'(0'(0'(2(1'(1'(x1)))))))))))))))))))) [1]
   0'(c_1(c_0(c_1(2(c_1(c_1(c_1(c_0(c_0(c_1(c_1(2(2(2(c_0(2(c_0(c_1(2(x1)))))))))))))))))))) -> 0'(2(1'(1'(2(1'(0'(2(0'(1'(1'(0'(2(0'(1'(0'(2(2(0'(2(x1)))))))))))))))))))) [1]
   0'(2(c_1(c_1(c_1(c_0(2(c_1(c_1(c_0(c_1(c_0(2(2(c_0(c_0(2(c_0(2(c_1(x1)))))))))))))))))))) -> 0'(1'(0'(1'(2(2(2(1'(1'(0'(2(2(1'(2(0'(0'(0'(0'(2(1'(x1)))))))))))))))))))) [1]
   0'(c_1(c_0(2(2(c_1(c_1(c_0(c_1(c_0(2(2(c_1(c_0(2(c_0(c_1(c_0(c_1(c_1(x1)))))))))))))))))))) -> 0'(1'(2(0'(0'(2(2(0'(0'(0'(0'(2(1'(2(1'(0'(1'(2(0'(2(x1)))))))))))))))))))) [1]
   0'(2(c_1(2(c_0(c_1(c_1(c_1(2(c_0(c_1(c_1(2(c_1(2(c_0(2(c_0(2(c_0(x1)))))))))))))))))))) -> 0'(1'(2(1'(1'(0'(1'(1'(2(1'(2(0'(1'(0'(1'(2(2(0'(2(2(x1)))))))))))))))))))) [1]
   0'(c_0(c_1(c_0(c_0(c_1(c_1(2(c_1(c_1(2(2(c_1(c_1(2(2(c_1(c_1(c_0(2(x1)))))))))))))))))))) -> 0'(1'(1'(0'(0'(2(0'(0'(2(0'(2(1'(1'(1'(1'(1'(0'(2(0'(2(x1)))))))))))))))))))) [1]
   0'(c_1(c_1(c_0(c_1(c_0(2(c_1(c_1(2(2(c_0(2(c_0(2(c_0(2(2(c_0(c_1(x1)))))))))))))))))))) -> 0'(2(0'(2(1'(0'(0'(1'(2(2(1'(2(2(1'(2(2(1'(2(2(0'(x1)))))))))))))))))))) [1]
   0'(c_1(c_0(c_1(c_1(c_1(c_1(2(c_0(2(2(2(2(2(2(c_1(c_0(2(c_0(c_1(x1)))))))))))))))))))) -> 0'(0'(0'(2(2(1'(0'(0'(1'(2(1'(0'(2(2(1'(0'(0'(2(2(1'(x1)))))))))))))))))))) [1]
   0'(c_0(2(2(c_0(c_0(c_1(c_0(2(2(c_1(c_1(2(2(c_1(c_0(2(2(c_0(c_1(x1)))))))))))))))))))) -> 0'(2(0'(2(2(1'(0'(0'(2(2(1'(2(1'(1'(0'(0'(2(0'(2(1'(x1)))))))))))))))))))) [1]
   0'(c_0(2(2(c_1(c_1(c_1(c_0(c_1(c_0(c_1(c_0(c_1(2(2(2(c_1(2(c_0(c_0(x1)))))))))))))))))))) -> 0'(1'(0'(2(0'(2(2(1'(0'(1'(0'(2(1'(2(1'(0'(1'(1'(1'(2(x1)))))))))))))))))))) [1]
   0'(c_1(c_1(c_0(c_0(2(c_0(2(c_1(c_1(c_1(2(c_1(2(c_1(c_0(c_0(c_1(c_1(c_1(x1)))))))))))))))))))) -> 0'(1'(0'(0'(2(2(0'(0'(2(2(0'(2(0'(0'(1'(2(1'(0'(1'(2(x1)))))))))))))))))))) [1]
   0'(c_1(c_1(c_0(2(c_1(2(c_1(c_1(c_0(c_1(c_1(2(c_1(c_0(c_1(c_0(c_1(c_1(c_1(x1)))))))))))))))))))) -> 0'(1'(1'(1'(2(1'(2(2(0'(1'(1'(0'(2(2(0'(0'(2(1'(0'(2(x1)))))))))))))))))))) [1]
   0'(2(c_1(c_1(c_1(2(2(c_0(c_0(c_0(2(c_1(c_0(c_1(2(2(c_1(c_0(2(c_0(x1)))))))))))))))))))) -> 0'(1'(0'(1'(0'(0'(0'(1'(0'(2(1'(1'(0'(0'(2(1'(2(0'(2(1'(x1)))))))))))))))))))) [1]
   0'(c_0(c_0(2(c_1(2(2(c_0(c_1(c_1(c_0(c_0(c_1(c_1(2(c_1(c_0(2(2(c_1(x1)))))))))))))))))))) -> 0'(2(0'(1'(1'(2(0'(1'(2(1'(2(1'(0'(2(2(0'(2(0'(1'(0'(x1)))))))))))))))))))) [1]
   0'(c_0(2(c_0(2(c_1(c_1(2(c_1(c_1(c_1(c_1(c_1(c_0(c_1(c_1(c_1(2(2(c_1(x1)))))))))))))))))))) -> 0'(2(0'(0'(2(1'(1'(2(2(0'(2(0'(1'(2(2(2(1'(1'(1'(2(x1)))))))))))))))))))) [1]
   0'(2(c_0(c_1(c_1(c_1(c_0(c_1(2(2(c_0(2(c_0(2(c_0(2(c_1(2(c_0(c_1(x1)))))))))))))))))))) -> 0'(2(2(0'(1'(2(2(2(2(1'(0'(2(1'(2(0'(0'(2(2(2(1'(x1)))))))))))))))))))) [1]
   0'(c_0(2(c_1(c_0(c_1(c_0(c_0(2(c_0(c_1(c_1(c_0(2(c_0(2(2(2(2(c_0(x1)))))))))))))))))))) -> 0'(2(2(0'(0'(0'(2(1'(0'(0'(0'(1'(1'(2(0'(1'(1'(0'(0'(0'(x1)))))))))))))))))))) [1]
   0'(c_1(c_1(c_0(2(2(c_0(c_1(2(2(2(c_0(2(2(c_1(2(c_1(2(c_1(c_0(x1)))))))))))))))))))) -> 0'(0'(2(0'(0'(2(0'(2(1'(0'(2(2(2(0'(0'(0'(2(1'(1'(2(x1)))))))))))))))))))) [1]
   0'(c_1(c_0(2(c_0(c_0(c_1(2(2(2(c_1(2(2(2(c_0(c_0(c_0(c_1(2(2(x1)))))))))))))))))))) -> 0'(1'(0'(1'(1'(2(1'(0'(0'(1'(0'(0'(2(2(2(1'(0'(2(0'(0'(x1)))))))))))))))))))) [1]
   0'(c_1(c_1(2(c_1(c_1(c_1(c_1(c_0(c_0(c_0(c_0(c_1(c_1(c_0(c_1(c_0(c_1(c_1(c_0(x1)))))))))))))))))))) -> 0'(0'(0'(1'(0'(1'(0'(1'(1'(1'(2(0'(1'(2(2(0'(2(2(0'(2(x1)))))))))))))))))))) [1]
   0'(c_0(2(c_0(c_0(c_0(2(c_1(2(2(2(c_1(c_1(c_1(c_0(2(c_1(c_1(c_0(c_0(x1)))))))))))))))))))) -> 0'(2(0'(1'(2(0'(1'(2(0'(1'(0'(1'(2(2(1'(2(1'(0'(0'(0'(x1)))))))))))))))))))) [1]
   0'(c_1(c_0(2(c_1(c_1(c_1(c_0(2(2(c_1(c_1(c_1(c_1(2(c_0(2(c_1(c_0(c_0(x1)))))))))))))))))))) -> 0'(2(1'(0'(2(0'(0'(1'(2(2(0'(0'(0'(1'(1'(1'(1'(0'(2(2(x1)))))))))))))))))))) [1]
   0'(2(c_1(c_1(c_0(2(c_1(c_1(c_1(c_1(2(2(c_0(c_1(c_1(c_1(2(2(c_1(c_1(x1)))))))))))))))))))) -> 0'(0'(2(0'(0'(1'(0'(2(2(1'(0'(1'(1'(0'(0'(2(0'(2(2(1'(x1)))))))))))))))))))) [1]
   0'(c_0(2(2(2(c_0(c_1(c_0(c_1(c_1(c_1(c_0(c_1(c_0(c_0(c_0(c_1(c_1(2(c_0(x1)))))))))))))))))))) -> 0'(2(0'(2(2(2(2(0'(2(2(1'(0'(0'(0'(0'(0'(0'(2(0'(0'(x1)))))))))))))))))))) [1]
   0'(2(c_0(2(c_1(c_0(c_0(c_1(2(c_0(2(c_0(c_1(c_0(c_1(c_1(c_1(2(2(c_1(x1)))))))))))))))))))) -> 0'(0'(1'(0'(1'(0'(1'(1'(2(1'(0'(0'(0'(1'(2(2(2(0'(1'(0'(x1)))))))))))))))))))) [1]
   0'(2(c_0(2(c_1(2(c_1(2(2(c_0(2(c_1(c_1(c_1(2(c_1(c_1(c_1(c_1(c_1(x1)))))))))))))))))))) -> 0'(1'(1'(1'(0'(2(1'(0'(1'(2(1'(0'(0'(0'(2(1'(1'(2(0'(1'(x1)))))))))))))))))))) [1]
   0'(2(c_1(c_0(c_1(2(2(c_0(c_0(c_1(2(c_0(2(2(2(2(2(2(c_1(c_1(x1)))))))))))))))))))) -> 0'(0'(0'(1'(2(2(0'(0'(0'(1'(2(0'(0'(0'(2(2(0'(1'(0'(2(x1)))))))))))))))))))) [1]
   0'(2(2(c_1(c_1(2(c_0(c_1(c_0(c_1(c_0(2(c_0(c_1(c_0(c_1(c_0(2(c_1(c_1(x1)))))))))))))))))))) -> 0'(1'(1'(0'(0'(1'(1'(0'(0'(2(2(1'(1'(2(2(0'(0'(0'(2(0'(x1)))))))))))))))))))) [1]
   0'(2(c_0(c_0(c_0(2(c_1(c_1(c_0(2(2(c_1(c_1(c_0(c_0(c_0(c_0(c_1(c_0(c_0(x1)))))))))))))))))))) -> 0'(0'(2(1'(0'(0'(0'(2(2(2(2(0'(0'(2(0'(2(1'(2(1'(2(x1)))))))))))))))))))) [1]
   0'(c_1(c_0(c_0(c_1(c_1(c_1(c_0(c_1(c_1(2(c_1(c_1(c_1(2(2(c_1(2(2(c_1(x1)))))))))))))))))))) -> 0'(0'(1'(1'(1'(2(1'(0'(2(0'(0'(0'(1'(2(2(0'(0'(1'(1'(1'(x1)))))))))))))))))))) [1]
   0'(c_1(c_1(c_1(c_1(c_1(c_1(2(2(c_0(2(c_0(2(2(c_0(2(c_1(c_0(c_1(c_0(x1)))))))))))))))))))) -> 0'(2(0'(1'(1'(0'(2(0'(0'(1'(1'(2(0'(1'(0'(0'(1'(0'(2(0'(x1)))))))))))))))))))) [1]
   0'(c_0(c_1(c_1(c_1(c_1(c_0(2(2(2(2(c_1(c_1(2(2(2(c_1(c_1(2(c_1(x1)))))))))))))))))))) -> 0'(1'(0'(0'(1'(1'(2(2(0'(2(2(0'(2(0'(0'(0'(2(2(1'(1'(x1)))))))))))))))))))) [1]
   0'(c_1(c_0(c_1(c_1(2(2(c_1(c_0(c_1(2(c_1(c_1(c_0(c_1(2(c_0(2(c_0(2(x1)))))))))))))))))))) -> 0'(2(0'(1'(0'(1'(1'(0'(0'(1'(0'(2(0'(0'(0'(2(2(0'(2(0'(x1)))))))))))))))))))) [1]
   0'(c_1(c_1(2(c_0(c_1(c_0(c_0(c_1(2(c_0(2(c_1(c_0(c_0(c_0(c_0(2(c_0(c_1(x1)))))))))))))))))))) -> 0'(0'(2(1'(2(2(2(1'(2(1'(0'(0'(0'(2(2(1'(0'(1'(2(0'(x1)))))))))))))))))))) [1]
   1'(2(2(c_0(2(c_0(2(c_1(2(c_1(2(c_1(c_0(c_0(c_1(c_0(c_0(2(c_0(c_1(x1)))))))))))))))))))) -> 1'(0'(1'(2(0'(1'(0'(0'(1'(0'(0'(0'(2(1'(0'(0'(1'(0'(0'(2(x1)))))))))))))))))))) [1]
   0'(c_0(2(c_0(c_1(2(2(c_0(c_0(c_1(2(2(c_0(c_0(2(2(c_1(c_1(c_0(c_1(x1)))))))))))))))))))) -> 0'(0'(1'(2(0'(0'(1'(1'(0'(2(0'(2(0'(0'(0'(0'(0'(2(0'(1'(x1)))))))))))))))))))) [1]
   0'(c_1(c_0(c_1(2(c_1(c_1(c_1(2(2(c_0(2(c_1(c_1(2(c_1(2(c_0(2(c_1(x1)))))))))))))))))))) -> 0'(2(1'(2(0'(0'(2(1'(2(2(1'(2(1'(2(0'(2(0'(0'(2(1'(x1)))))))))))))))))))) [1]
   0'(c_1(c_0(2(c_0(2(c_1(c_1(c_1(c_0(c_1(2(2(c_0(2(c_0(c_1(c_1(2(c_0(x1)))))))))))))))))))) -> 0'(0'(1'(2(0'(0'(0'(0'(0'(0'(1'(1'(0'(2(0'(2(1'(2(1'(0'(x1)))))))))))))))))))) [1]
   0'(c_1(2(c_0(c_0(c_1(2(c_0(2(c_0(c_0(c_1(c_0(2(c_0(c_0(2(c_1(2(c_0(x1)))))))))))))))))))) -> 0'(2(1'(2(0'(0'(0'(2(0'(0'(2(1'(2(2(0'(2(2(0'(0'(0'(x1)))))))))))))))))))) [1]
   0'(c_1(2(c_0(2(c_0(c_0(2(c_1(c_1(c_1(2(2(c_0(c_0(c_0(2(c_0(c_0(c_0(x1)))))))))))))))))))) -> 0'(1'(0'(0'(2(1'(0'(1'(1'(0'(1'(2(2(0'(1'(2(1'(0'(1'(0'(x1)))))))))))))))))))) [1]
   0'(c_0(2(2(c_1(2(c_0(c_1(2(2(c_0(c_1(c_0(c_0(c_0(2(2(c_0(c_0(c_0(x1)))))))))))))))))))) -> 0'(0'(0'(0'(2(0'(0'(0'(2(2(2(0'(2(0'(1'(0'(1'(0'(0'(0'(x1)))))))))))))))))))) [1]
   0'(2(2(c_0(2(c_0(c_1(c_1(2(2(2(c_0(2(2(c_0(2(c_0(c_1(2(c_0(x1)))))))))))))))))))) -> 0'(1'(1'(0'(0'(0'(2(0'(0'(1'(1'(1'(0'(1'(1'(0'(0'(0'(0'(2(x1)))))))))))))))))))) [1]
   0'(2(c_0(c_1(c_1(c_0(c_1(c_1(c_1(c_0(c_1(c_0(c_0(2(c_1(c_0(2(2(2(c_0(x1)))))))))))))))))))) -> 0'(2(2(2(0'(0'(2(0'(0'(2(0'(1'(2(1'(2(2(1'(2(1'(2(x1)))))))))))))))))))) [1]
   0'(c_1(2(c_0(c_1(c_0(2(c_0(2(c_1(2(2(c_1(c_1(c_1(2(c_0(c_1(2(c_1(x1)))))))))))))))))))) -> 0'(0'(2(2(2(0'(0'(0'(1'(0'(0'(0'(0'(2(1'(2(1'(1'(2(1'(x1)))))))))))))))))))) [1]
   0'(c_0(c_0(2(c_0(c_0(c_0(2(c_1(2(2(c_1(c_1(c_0(c_0(c_0(c_1(c_1(c_1(2(x1)))))))))))))))))))) -> 0'(2(2(1'(0'(1'(0'(2(2(2(1'(1'(2(0'(0'(0'(0'(0'(1'(2(x1)))))))))))))))))))) [1]
   0'(c_0(c_1(2(2(c_1(c_0(c_1(c_1(c_1(c_0(c_0(c_1(2(c_1(2(2(2(c_0(2(x1)))))))))))))))))))) -> 0'(1'(1'(2(2(0'(0'(2(0'(2(2(0'(0'(1'(0'(0'(0'(0'(0'(0'(x1)))))))))))))))))))) [1]
   0'(c_0(c_0(c_0(c_1(2(c_0(2(c_0(c_1(2(2(c_1(c_1(c_1(c_1(c_1(c_0(2(2(x1)))))))))))))))))))) -> 0'(2(0'(0'(1'(0'(1'(0'(0'(2(0'(0'(2(0'(2(1'(1'(0'(1'(2(x1)))))))))))))))))))) [1]
   0'(c_1(2(2(c_0(c_1(c_1(c_1(2(c_1(c_0(c_0(2(c_0(c_1(2(2(c_0(c_1(2(x1)))))))))))))))))))) -> 0'(2(0'(0'(2(0'(2(2(1'(0'(1'(1'(1'(0'(2(0'(1'(2(0'(0'(x1)))))))))))))))))))) [1]
   0'(c_1(c_0(c_0(c_1(c_0(2(c_1(2(2(c_1(2(2(c_1(c_1(c_1(c_1(2(2(c_1(x1)))))))))))))))))))) -> 0'(0'(1'(1'(1'(0'(1'(0'(0'(0'(2(2(1'(1'(2(0'(0'(2(1'(2(x1)))))))))))))))))))) [1]
   0'(2(c_0(2(c_1(c_1(2(c_0(c_0(c_0(2(c_1(2(c_1(2(c_0(c_0(c_1(2(c_0(x1)))))))))))))))))))) -> 0'(2(2(0'(1'(2(0'(1'(0'(0'(0'(0'(2(1'(0'(0'(0'(0'(1'(2(x1)))))))))))))))))))) [1]
   0'(2(c_1(c_1(c_1(c_1(c_0(c_0(c_0(c_0(2(c_1(2(c_0(c_0(2(c_1(c_0(2(c_1(x1)))))))))))))))))))) -> 0'(0'(0'(1'(0'(1'(1'(2(0'(2(0'(0'(2(2(2(2(1'(0'(2(1'(x1)))))))))))))))))))) [1]
   0'(c_1(c_0(c_0(2(2(c_0(c_1(2(2(c_1(2(c_1(c_0(c_1(2(2(2(c_1(c_0(x1)))))))))))))))))))) -> 0'(0'(2(2(0'(2(2(2(1'(0'(2(1'(2(0'(2(2(0'(0'(2(2(x1)))))))))))))))))))) [1]
   0'(c_0(c_1(c_0(2(c_0(2(c_1(c_1(c_1(c_0(c_0(c_0(2(2(c_1(2(c_1(c_1(2(x1)))))))))))))))))))) -> 0'(2(0'(0'(2(2(0'(2(1'(1'(2(1'(2(1'(0'(2(2(0'(2(0'(x1)))))))))))))))))))) [1]
   0'(c_0(2(c_1(c_1(c_0(2(2(c_1(c_1(c_1(c_1(2(2(c_0(c_0(2(c_1(c_0(c_0(x1)))))))))))))))))))) -> 0'(2(2(1'(1'(1'(2(1'(0'(1'(2(1'(2(1'(1'(2(1'(0'(0'(0'(x1)))))))))))))))))))) [1]
   0'(2(c_0(2(c_0(2(c_0(2(c_1(c_1(c_0(2(c_1(c_1(c_1(c_1(2(c_0(2(c_0(x1)))))))))))))))))))) -> 0'(1'(0'(2(1'(2(1'(1'(0'(0'(2(2(2(0'(0'(1'(2(2(0'(0'(x1)))))))))))))))))))) [1]
   0'(c_1(c_0(2(2(2(c_1(2(c_1(c_1(c_1(2(c_1(c_0(2(c_1(c_1(c_1(c_0(c_1(x1)))))))))))))))))))) -> 0'(0'(1'(2(2(2(1'(0'(0'(1'(1'(2(1'(1'(2(0'(0'(1'(2(0'(x1)))))))))))))))))))) [1]
   0'(2(2(c_0(c_0(2(c_1(c_0(2(c_0(2(c_0(2(c_0(c_1(c_1(2(2(c_1(c_0(x1)))))))))))))))))))) -> 0'(2(0'(0'(0'(0'(0'(0'(1'(2(0'(1'(2(2(0'(1'(0'(1'(0'(1'(x1)))))))))))))))))))) [1]
   0'(c_1(c_1(c_0(2(c_1(c_1(c_0(c_0(c_1(c_1(c_1(2(2(2(c_0(2(c_0(c_0(2(x1)))))))))))))))))))) -> 0'(1'(2(1'(0'(2(1'(0'(1'(2(2(2(0'(0'(2(0'(2(2(1'(2(x1)))))))))))))))))))) [1]
   0'(c_0(c_1(c_0(c_1(c_0(2(c_0(c_0(c_1(2(c_1(c_1(2(2(2(c_1(c_0(2(c_1(x1)))))))))))))))))))) -> 0'(2(1'(0'(1'(0'(0'(0'(2(0'(0'(1'(2(0'(2(1'(0'(0'(2(0'(x1)))))))))))))))))))) [1]
   0'(c_1(c_1(c_1(c_1(2(c_0(c_0(c_0(2(2(2(2(c_1(c_0(2(2(2(c_0(c_1(x1)))))))))))))))))))) -> 0'(2(0'(0'(0'(1'(2(0'(1'(2(2(2(1'(2(1'(1'(1'(2(1'(2(x1)))))))))))))))))))) [1]
   0'(2(c_1(2(c_0(c_1(c_1(2(2(c_0(c_1(c_1(c_0(c_1(2(c_1(c_0(c_0(c_0(c_1(x1)))))))))))))))))))) -> 0'(0'(1'(0'(0'(2(0'(2(0'(1'(2(1'(0'(0'(0'(1'(0'(0'(2(1'(x1)))))))))))))))))))) [1]
   0'(c_0(2(2(c_0(c_1(c_0(2(c_1(2(c_1(c_1(2(2(2(c_1(c_1(2(c_0(2(x1)))))))))))))))))))) -> 0'(0'(1'(2(1'(2(1'(2(1'(2(0'(1'(2(1'(0'(0'(0'(1'(2(0'(x1)))))))))))))))))))) [1]
   0'(2(c_0(2(c_0(2(c_1(2(2(c_0(c_1(c_1(c_1(2(c_1(c_1(c_0(2(c_0(c_1(x1)))))))))))))))))))) -> 0'(2(0'(0'(1'(1'(1'(0'(2(1'(1'(2(0'(0'(0'(2(2(1'(1'(0'(x1)))))))))))))))))))) [1]
   0'(2(2(c_0(c_1(2(2(c_0(c_1(c_1(2(c_1(c_1(2(2(2(c_1(c_0(c_1(2(x1)))))))))))))))))))) -> 0'(2(1'(0'(0'(0'(2(0'(1'(1'(1'(0'(1'(0'(2(2(1'(1'(2(2(x1)))))))))))))))))))) [1]
   0'(2(2(2(2(c_1(c_0(c_0(c_0(2(2(c_1(c_0(c_1(c_1(c_1(c_0(c_1(2(2(x1)))))))))))))))))))) -> 0'(0'(2(2(0'(2(0'(2(0'(1'(1'(2(0'(0'(0'(0'(2(1'(1'(2(x1)))))))))))))))))))) [1]
   0'(c_0(c_0(c_1(c_0(2(c_0(2(c_1(2(c_0(c_1(c_1(2(c_1(c_1(2(2(c_1(c_1(x1)))))))))))))))))))) -> 0'(1'(2(0'(2(2(1'(1'(1'(0'(1'(0'(2(1'(2(1'(2(1'(2(1'(x1)))))))))))))))))))) [1]
   0'(c_1(c_0(c_0(2(2(c_0(2(2(c_1(2(c_1(2(c_1(c_1(c_0(c_0(2(2(2(x1)))))))))))))))))))) -> 0'(2(0'(1'(2(1'(0'(1'(0'(0'(0'(0'(0'(0'(2(0'(1'(0'(2(1'(x1)))))))))))))))))))) [1]
   0'(c_1(2(2(2(c_0(c_0(2(c_0(c_1(2(c_1(c_0(c_1(c_0(c_0(2(c_0(c_0(2(x1)))))))))))))))))))) -> 0'(0'(0'(1'(2(0'(2(1'(2(2(0'(0'(0'(1'(0'(1'(0'(0'(1'(2(x1)))))))))))))))))))) [1]
   0'(2(c_1(c_1(c_1(c_0(c_0(c_1(2(c_1(2(c_1(c_1(2(c_0(2(c_1(c_0(c_1(2(x1)))))))))))))))))))) -> 0'(1'(0'(1'(0'(2(0'(0'(0'(1'(1'(1'(2(0'(0'(0'(1'(2(2(2(x1)))))))))))))))))))) [1]
   0'(2(2(c_1(c_1(c_1(c_1(c_0(c_0(c_1(c_0(c_1(c_0(2(2(c_1(c_1(2(2(c_1(x1)))))))))))))))))))) -> 0'(2(2(2(0'(2(2(1'(1'(2(2(2(2(0'(2(0'(0'(2(0'(2(x1)))))))))))))))))))) [1]
   0'(2(2(c_1(2(c_0(c_1(c_1(c_0(c_0(c_1(c_1(2(c_0(c_1(c_1(c_0(2(2(2(x1)))))))))))))))))))) -> 0'(2(2(2(0'(2(0'(0'(2(2(0'(0'(2(1'(1'(0'(0'(2(1'(1'(x1)))))))))))))))))))) [1]
   0'(2(c_0(c_0(c_1(c_0(2(c_1(c_0(2(2(c_0(c_1(c_0(2(c_1(2(c_1(c_1(2(x1)))))))))))))))))))) -> 0'(2(1'(0'(2(1'(0'(2(1'(2(1'(0'(1'(2(0'(1'(0'(0'(0'(0'(x1)))))))))))))))))))) [1]
   0'(2(2(c_1(c_0(c_0(c_1(c_1(2(c_0(2(2(c_0(c_1(c_1(2(2(c_1(c_0(c_0(x1)))))))))))))))))))) -> 0'(2(1'(0'(2(2(0'(0'(0'(0'(0'(1'(2(1'(0'(1'(1'(2(1'(1'(x1)))))))))))))))))))) [1]
   0'(c_1(2(2(2(2(2(2(2(c_1(c_0(2(2(c_1(c_1(2(c_1(2(c_1(c_1(x1)))))))))))))))))))) -> 0'(2(1'(0'(2(1'(0'(1'(2(0'(0'(0'(1'(2(0'(0'(0'(0'(0'(1'(x1)))))))))))))))))))) [1]
   0'(c_1(c_1(c_0(2(c_0(2(c_1(2(c_1(2(2(c_0(2(c_1(2(2(c_1(c_1(c_0(x1)))))))))))))))))))) -> 0'(2(0'(1'(1'(1'(0'(1'(0'(1'(2(0'(2(2(1'(0'(2(0'(0'(2(x1)))))))))))))))))))) [1]
   0'(c_1(c_0(c_1(c_1(2(2(c_0(c_0(c_0(2(2(2(c_1(c_1(c_0(c_1(c_1(c_1(c_1(x1)))))))))))))))))))) -> 0'(0'(2(2(2(2(2(2(1'(1'(0'(1'(2(2(0'(1'(2(0'(2(1'(x1)))))))))))))))))))) [1]
   0'(c_0(c_1(c_1(c_0(2(2(c_1(c_1(c_1(c_1(c_1(2(c_0(2(c_1(c_0(2(2(c_1(x1)))))))))))))))))))) -> 0'(2(0'(1'(1'(0'(1'(2(2(2(0'(0'(2(2(2(0'(2(0'(0'(0'(x1)))))))))))))))))))) [1]
   0'(2(c_1(c_1(2(c_1(2(2(2(c_0(c_0(c_1(c_0(2(c_1(c_1(c_1(2(2(c_0(x1)))))))))))))))))))) -> 0'(0'(0'(2(1'(0'(1'(2(1'(2(1'(1'(1'(2(0'(0'(0'(1'(1'(0'(x1)))))))))))))))))))) [1]
   0'(c_1(2(c_0(c_0(2(c_1(c_1(c_0(2(c_1(c_0(c_1(c_1(c_1(c_0(c_1(c_1(c_0(c_0(x1)))))))))))))))))))) -> 0'(0'(0'(2(0'(1'(1'(2(2(0'(2(0'(0'(2(1'(0'(0'(2(1'(1'(x1)))))))))))))))))))) [1]
   0'(c_0(c_1(c_0(2(2(2(2(c_1(c_0(2(c_1(c_0(2(2(c_0(c_1(c_1(2(c_1(x1)))))))))))))))))))) -> 0'(0'(1'(0'(0'(0'(0'(2(2(2(2(0'(0'(0'(1'(0'(0'(2(1'(1'(x1)))))))))))))))))))) [1]
   0'(c_1(c_1(c_0(c_1(c_1(c_1(c_1(2(c_0(2(c_0(2(2(2(c_0(c_0(c_0(2(c_1(x1)))))))))))))))))))) -> 0'(1'(0'(1'(2(2(2(0'(2(2(1'(1'(2(2(2(0'(0'(0'(1'(0'(x1)))))))))))))))))))) [1]
   0'(c_0(c_1(c_0(c_1(2(2(2(c_1(c_1(2(c_1(2(c_1(c_0(2(c_0(c_1(2(c_0(x1)))))))))))))))))))) -> 0'(2(0'(1'(1'(2(2(2(1'(0'(0'(2(1'(0'(0'(0'(0'(2(0'(2(x1)))))))))))))))))))) [1]
   0'(c_0(c_0(c_1(2(c_0(2(2(c_1(c_1(c_0(c_1(c_0(c_1(2(c_0(c_1(c_1(c_1(c_1(x1)))))))))))))))))))) -> 0'(1'(2(0'(1'(2(1'(0'(1'(0'(1'(0'(2(0'(1'(1'(1'(1'(0'(2(x1)))))))))))))))))))) [1]
   0'(c_0(c_1(2(c_0(c_1(2(c_0(c_1(c_1(c_1(c_0(2(2(c_1(c_0(2(c_1(c_1(2(x1)))))))))))))))))))) -> 0'(1'(2(2(0'(2(2(2(1'(0'(1'(2(2(1'(0'(0'(1'(1'(1'(2(x1)))))))))))))))))))) [1]
   0'(c_0(c_1(2(2(c_1(c_1(c_0(2(2(2(c_0(c_1(c_1(c_1(c_1(c_0(c_1(2(c_1(x1)))))))))))))))))))) -> 0'(1'(2(2(0'(1'(1'(1'(2(0'(2(0'(0'(1'(2(0'(2(1'(2(0'(x1)))))))))))))))))))) [1]
   0'(c_1(c_1(2(c_0(2(c_0(2(2(c_1(c_1(2(c_0(c_1(2(2(c_0(c_1(c_0(c_0(x1)))))))))))))))))))) -> 0'(1'(2(0'(0'(0'(2(1'(2(0'(1'(2(2(2(2(0'(1'(1'(0'(1'(x1)))))))))))))))))))) [1]
   0'(2(c_1(c_1(2(c_0(2(2(2(c_0(c_1(2(c_0(2(c_0(2(2(c_0(c_0(c_1(x1)))))))))))))))))))) -> 0'(0'(2(1'(2(0'(0'(0'(2(0'(1'(2(2(2(1'(0'(1'(1'(1'(0'(x1)))))))))))))))))))) [1]
   0'(c_1(c_0(c_1(c_0(c_1(c_1(c_0(c_0(c_0(c_1(c_0(2(c_1(c_1(2(c_0(c_1(c_0(c_1(x1)))))))))))))))))))) -> 0'(0'(2(1'(1'(0'(0'(2(0'(2(1'(0'(1'(1'(0'(2(2(0'(1'(2(x1)))))))))))))))))))) [1]
   0'(c_0(c_1(2(2(c_0(c_1(c_1(2(c_0(c_0(2(2(c_1(c_0(2(c_1(2(c_1(c_0(x1)))))))))))))))))))) -> 0'(2(2(0'(2(0'(2(1'(0'(2(0'(0'(2(2(1'(0'(0'(0'(2(0'(x1)))))))))))))))))))) [1]
   0'(c_0(c_0(2(2(c_1(c_1(2(2(c_0(c_0(2(c_1(2(c_0(c_1(c_1(c_0(2(2(x1)))))))))))))))))))) -> 0'(2(2(2(1'(0'(0'(2(1'(2(1'(2(1'(2(1'(1'(1'(2(0'(2(x1)))))))))))))))))))) [1]
   0'(c_1(2(c_1(c_0(c_1(2(2(c_1(c_1(c_0(c_0(c_1(c_1(2(2(c_1(c_0(c_1(c_1(x1)))))))))))))))))))) -> 0'(2(2(2(0'(2(0'(2(0'(1'(2(1'(2(2(2(1'(0'(0'(1'(0'(x1)))))))))))))))))))) [1]
   0'(2(2(c_1(c_1(2(2(c_1(c_0(2(c_1(2(c_1(c_1(2(2(2(c_0(2(c_0(x1)))))))))))))))))))) -> 0'(2(1'(2(2(2(1'(0'(0'(1'(0'(0'(0'(1'(2(1'(1'(2(2(1'(x1)))))))))))))))))))) [1]
   0'(c_1(c_1(c_1(2(2(c_1(2(c_1(c_1(c_1(c_0(c_0(c_1(c_1(c_1(2(c_1(c_1(c_0(x1)))))))))))))))))))) -> 0'(0'(1'(0'(2(0'(1'(1'(1'(2(0'(2(1'(2(2(0'(2(1'(2(1'(x1)))))))))))))))))))) [1]
   0'(c_0(2(c_0(c_1(c_1(2(c_0(2(c_1(c_0(2(2(c_1(c_1(c_0(c_1(2(c_0(c_1(x1)))))))))))))))))))) -> 0'(1'(2(0'(2(0'(1'(0'(1'(2(1'(0'(0'(2(2(1'(0'(1'(0'(1'(x1)))))))))))))))))))) [1]
   0'(c_1(c_1(2(2(2(2(c_1(c_0(2(c_0(c_0(c_1(2(2(c_1(2(2(2(2(x1)))))))))))))))))))) -> 0'(1'(0'(0'(2(0'(0'(1'(2(1'(2(0'(1'(2(2(1'(0'(2(0'(2(x1)))))))))))))))))))) [1]
   0'(2(c_0(c_1(2(c_1(c_1(c_1(c_1(2(c_0(2(c_1(2(c_0(c_1(2(2(c_0(c_1(x1)))))))))))))))))))) -> 0'(1'(1'(1'(1'(2(1'(0'(0'(1'(1'(0'(2(1'(0'(0'(2(0'(0'(1'(x1)))))))))))))))))))) [1]
   0'(c_1(c_0(c_1(c_1(2(c_1(c_0(c_0(c_0(2(2(2(c_1(2(c_1(2(c_1(c_0(2(x1)))))))))))))))))))) -> 0'(1'(0'(0'(2(2(1'(2(1'(0'(1'(0'(0'(0'(2(0'(0'(2(1'(2(x1)))))))))))))))))))) [1]
   0'(c_0(c_1(c_0(2(c_1(2(2(2(2(c_0(c_1(2(c_0(c_1(c_1(2(2(c_0(2(x1)))))))))))))))))))) -> 0'(0'(2(1'(1'(0'(0'(2(2(2(0'(1'(2(2(0'(1'(2(2(0'(2(x1)))))))))))))))))))) [1]
   0'(c_1(c_1(c_0(c_1(2(c_1(2(c_0(2(2(c_1(c_0(c_0(2(c_0(c_1(c_0(c_1(c_1(x1)))))))))))))))))))) -> 0'(0'(0'(1'(2(0'(2(2(2(0'(1'(0'(1'(2(1'(1'(1'(0'(2(0'(x1)))))))))))))))))))) [1]
   encArg(2(x_1)) -> 2(encArg(x_1)) [0]
   encArg(cons_0(x_1)) -> 0'(encArg(x_1)) [0]
   encArg(cons_1(x_1)) -> 1'(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]
   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]

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

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

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

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

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

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

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

Only complete derivations are relevant for the runtime complexity.

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

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

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

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

(c) The following functions are completely defined:

   encArg_1
   encode_0_1
   encode_1_1
   encode_2_1
   0'_1
   1'_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]

And the following fresh constants:    const

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

(30)
Obligation:
Runtime Complexity Weighted TRS where critical functions are completely defined. The underlying TRS is:

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

   0'(c_0(c_1(c_0(2(2(c_1(2(c_0(c_0(c_1(c_1(2(2(2(c_1(c_1(2(c_1(c_1(x1)))))))))))))))))))) -> 0'(2(0'(2(2(0'(0'(1'(2(0'(2(0'(0'(1'(1'(0'(0'(2(1'(1'(x1)))))))))))))))))))) [1]
   0'(c_1(c_0(c_1(2(c_1(c_1(c_1(c_0(c_0(c_1(c_1(2(2(2(c_0(2(c_0(c_1(2(x1)))))))))))))))))))) -> 0'(2(1'(1'(2(1'(0'(2(0'(1'(1'(0'(2(0'(1'(0'(2(2(0'(2(x1)))))))))))))))))))) [1]
   0'(2(c_1(c_1(c_1(c_0(2(c_1(c_1(c_0(c_1(c_0(2(2(c_0(c_0(2(c_0(2(c_1(x1)))))))))))))))))))) -> 0'(1'(0'(1'(2(2(2(1'(1'(0'(2(2(1'(2(0'(0'(0'(0'(2(1'(x1)))))))))))))))))))) [1]
   0'(c_1(c_0(2(2(c_1(c_1(c_0(c_1(c_0(2(2(c_1(c_0(2(c_0(c_1(c_0(c_1(c_1(x1)))))))))))))))))))) -> 0'(1'(2(0'(0'(2(2(0'(0'(0'(0'(2(1'(2(1'(0'(1'(2(0'(2(x1)))))))))))))))))))) [1]
   0'(2(c_1(2(c_0(c_1(c_1(c_1(2(c_0(c_1(c_1(2(c_1(2(c_0(2(c_0(2(c_0(x1)))))))))))))))))))) -> 0'(1'(2(1'(1'(0'(1'(1'(2(1'(2(0'(1'(0'(1'(2(2(0'(2(2(x1)))))))))))))))))))) [1]
   0'(c_0(c_1(c_0(c_0(c_1(c_1(2(c_1(c_1(2(2(c_1(c_1(2(2(c_1(c_1(c_0(2(x1)))))))))))))))))))) -> 0'(1'(1'(0'(0'(2(0'(0'(2(0'(2(1'(1'(1'(1'(1'(0'(2(0'(2(x1)))))))))))))))))))) [1]
   0'(c_1(c_1(c_0(c_1(c_0(2(c_1(c_1(2(2(c_0(2(c_0(2(c_0(2(2(c_0(c_1(x1)))))))))))))))))))) -> 0'(2(0'(2(1'(0'(0'(1'(2(2(1'(2(2(1'(2(2(1'(2(2(0'(x1)))))))))))))))))))) [1]
   0'(c_1(c_0(c_1(c_1(c_1(c_1(2(c_0(2(2(2(2(2(2(c_1(c_0(2(c_0(c_1(x1)))))))))))))))))))) -> 0'(0'(0'(2(2(1'(0'(0'(1'(2(1'(0'(2(2(1'(0'(0'(2(2(1'(x1)))))))))))))))))))) [1]
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   0'(2(c_1(c_1(c_1(c_0(c_0(c_1(2(c_1(2(c_1(c_1(2(c_0(2(c_1(c_0(c_1(2(x1)))))))))))))))))))) -> 0'(1'(0'(1'(0'(2(0'(0'(0'(1'(1'(1'(2(0'(0'(0'(1'(2(2(2(x1)))))))))))))))))))) [1]
   0'(2(2(c_1(c_1(c_1(c_1(c_0(c_0(c_1(c_0(c_1(c_0(2(2(c_1(c_1(2(2(c_1(x1)))))))))))))))))))) -> 0'(2(2(2(0'(2(2(1'(1'(2(2(2(2(0'(2(0'(0'(2(0'(2(x1)))))))))))))))))))) [1]
   0'(2(2(c_1(2(c_0(c_1(c_1(c_0(c_0(c_1(c_1(2(c_0(c_1(c_1(c_0(2(2(2(x1)))))))))))))))))))) -> 0'(2(2(2(0'(2(0'(0'(2(2(0'(0'(2(1'(1'(0'(0'(2(1'(1'(x1)))))))))))))))))))) [1]
   0'(2(c_0(c_0(c_1(c_0(2(c_1(c_0(2(2(c_0(c_1(c_0(2(c_1(2(c_1(c_1(2(x1)))))))))))))))))))) -> 0'(2(1'(0'(2(1'(0'(2(1'(2(1'(0'(1'(2(0'(1'(0'(0'(0'(0'(x1)))))))))))))))))))) [1]
   0'(2(2(c_1(c_0(c_0(c_1(c_1(2(c_0(2(2(c_0(c_1(c_1(2(2(c_1(c_0(c_0(x1)))))))))))))))))))) -> 0'(2(1'(0'(2(2(0'(0'(0'(0'(0'(1'(2(1'(0'(1'(1'(2(1'(1'(x1)))))))))))))))))))) [1]
   0'(c_1(2(2(2(2(2(2(2(c_1(c_0(2(2(c_1(c_1(2(c_1(2(c_1(c_1(x1)))))))))))))))))))) -> 0'(2(1'(0'(2(1'(0'(1'(2(0'(0'(0'(1'(2(0'(0'(0'(0'(0'(1'(x1)))))))))))))))))))) [1]
   0'(c_1(c_1(c_0(2(c_0(2(c_1(2(c_1(2(2(c_0(2(c_1(2(2(c_1(c_1(c_0(x1)))))))))))))))))))) -> 0'(2(0'(1'(1'(1'(0'(1'(0'(1'(2(0'(2(2(1'(0'(2(0'(0'(2(x1)))))))))))))))))))) [1]
   0'(c_1(c_0(c_1(c_1(2(2(c_0(c_0(c_0(2(2(2(c_1(c_1(c_0(c_1(c_1(c_1(c_1(x1)))))))))))))))))))) -> 0'(0'(2(2(2(2(2(2(1'(1'(0'(1'(2(2(0'(1'(2(0'(2(1'(x1)))))))))))))))))))) [1]
   0'(c_0(c_1(c_1(c_0(2(2(c_1(c_1(c_1(c_1(c_1(2(c_0(2(c_1(c_0(2(2(c_1(x1)))))))))))))))))))) -> 0'(2(0'(1'(1'(0'(1'(2(2(2(0'(0'(2(2(2(0'(2(0'(0'(0'(x1)))))))))))))))))))) [1]
   0'(2(c_1(c_1(2(c_1(2(2(2(c_0(c_0(c_1(c_0(2(c_1(c_1(c_1(2(2(c_0(x1)))))))))))))))))))) -> 0'(0'(0'(2(1'(0'(1'(2(1'(2(1'(1'(1'(2(0'(0'(0'(1'(1'(0'(x1)))))))))))))))))))) [1]
   0'(c_1(2(c_0(c_0(2(c_1(c_1(c_0(2(c_1(c_0(c_1(c_1(c_1(c_0(c_1(c_1(c_0(c_0(x1)))))))))))))))))))) -> 0'(0'(0'(2(0'(1'(1'(2(2(0'(2(0'(0'(2(1'(0'(0'(2(1'(1'(x1)))))))))))))))))))) [1]
   0'(c_0(c_1(c_0(2(2(2(2(c_1(c_0(2(c_1(c_0(2(2(c_0(c_1(c_1(2(c_1(x1)))))))))))))))))))) -> 0'(0'(1'(0'(0'(0'(0'(2(2(2(2(0'(0'(0'(1'(0'(0'(2(1'(1'(x1)))))))))))))))))))) [1]
   0'(c_1(c_1(c_0(c_1(c_1(c_1(c_1(2(c_0(2(c_0(2(2(2(c_0(c_0(c_0(2(c_1(x1)))))))))))))))))))) -> 0'(1'(0'(1'(2(2(2(0'(2(2(1'(1'(2(2(2(0'(0'(0'(1'(0'(x1)))))))))))))))))))) [1]
   0'(c_0(c_1(c_0(c_1(2(2(2(c_1(c_1(2(c_1(2(c_1(c_0(2(c_0(c_1(2(c_0(x1)))))))))))))))))))) -> 0'(2(0'(1'(1'(2(2(2(1'(0'(0'(2(1'(0'(0'(0'(0'(2(0'(2(x1)))))))))))))))))))) [1]
   0'(c_0(c_0(c_1(2(c_0(2(2(c_1(c_1(c_0(c_1(c_0(c_1(2(c_0(c_1(c_1(c_1(c_1(x1)))))))))))))))))))) -> 0'(1'(2(0'(1'(2(1'(0'(1'(0'(1'(0'(2(0'(1'(1'(1'(1'(0'(2(x1)))))))))))))))))))) [1]
   0'(c_0(c_1(2(c_0(c_1(2(c_0(c_1(c_1(c_1(c_0(2(2(c_1(c_0(2(c_1(c_1(2(x1)))))))))))))))))))) -> 0'(1'(2(2(0'(2(2(2(1'(0'(1'(2(2(1'(0'(0'(1'(1'(1'(2(x1)))))))))))))))))))) [1]
   0'(c_0(c_1(2(2(c_1(c_1(c_0(2(2(2(c_0(c_1(c_1(c_1(c_1(c_0(c_1(2(c_1(x1)))))))))))))))))))) -> 0'(1'(2(2(0'(1'(1'(1'(2(0'(2(0'(0'(1'(2(0'(2(1'(2(0'(x1)))))))))))))))))))) [1]
   0'(c_1(c_1(2(c_0(2(c_0(2(2(c_1(c_1(2(c_0(c_1(2(2(c_0(c_1(c_0(c_0(x1)))))))))))))))))))) -> 0'(1'(2(0'(0'(0'(2(1'(2(0'(1'(2(2(2(2(0'(1'(1'(0'(1'(x1)))))))))))))))))))) [1]
   0'(2(c_1(c_1(2(c_0(2(2(2(c_0(c_1(2(c_0(2(c_0(2(2(c_0(c_0(c_1(x1)))))))))))))))))))) -> 0'(0'(2(1'(2(0'(0'(0'(2(0'(1'(2(2(2(1'(0'(1'(1'(1'(0'(x1)))))))))))))))))))) [1]
   0'(c_1(c_0(c_1(c_0(c_1(c_1(c_0(c_0(c_0(c_1(c_0(2(c_1(c_1(2(c_0(c_1(c_0(c_1(x1)))))))))))))))))))) -> 0'(0'(2(1'(1'(0'(0'(2(0'(2(1'(0'(1'(1'(0'(2(2(0'(1'(2(x1)))))))))))))))))))) [1]
   0'(c_0(c_1(2(2(c_0(c_1(c_1(2(c_0(c_0(2(2(c_1(c_0(2(c_1(2(c_1(c_0(x1)))))))))))))))))))) -> 0'(2(2(0'(2(0'(2(1'(0'(2(0'(0'(2(2(1'(0'(0'(0'(2(0'(x1)))))))))))))))))))) [1]
   0'(c_0(c_0(2(2(c_1(c_1(2(2(c_0(c_0(2(c_1(2(c_0(c_1(c_1(c_0(2(2(x1)))))))))))))))))))) -> 0'(2(2(2(1'(0'(0'(2(1'(2(1'(2(1'(2(1'(1'(1'(2(0'(2(x1)))))))))))))))))))) [1]
   0'(c_1(2(c_1(c_0(c_1(2(2(c_1(c_1(c_0(c_0(c_1(c_1(2(2(c_1(c_0(c_1(c_1(x1)))))))))))))))))))) -> 0'(2(2(2(0'(2(0'(2(0'(1'(2(1'(2(2(2(1'(0'(0'(1'(0'(x1)))))))))))))))))))) [1]
   0'(2(2(c_1(c_1(2(2(c_1(c_0(2(c_1(2(c_1(c_1(2(2(2(c_0(2(c_0(x1)))))))))))))))))))) -> 0'(2(1'(2(2(2(1'(0'(0'(1'(0'(0'(0'(1'(2(1'(1'(2(2(1'(x1)))))))))))))))))))) [1]
   0'(c_1(c_1(c_1(2(2(c_1(2(c_1(c_1(c_1(c_0(c_0(c_1(c_1(c_1(2(c_1(c_1(c_0(x1)))))))))))))))))))) -> 0'(0'(1'(0'(2(0'(1'(1'(1'(2(0'(2(1'(2(2(0'(2(1'(2(1'(x1)))))))))))))))))))) [1]
   0'(c_0(2(c_0(c_1(c_1(2(c_0(2(c_1(c_0(2(2(c_1(c_1(c_0(c_1(2(c_0(c_1(x1)))))))))))))))))))) -> 0'(1'(2(0'(2(0'(1'(0'(1'(2(1'(0'(0'(2(2(1'(0'(1'(0'(1'(x1)))))))))))))))))))) [1]
   0'(c_1(c_1(2(2(2(2(c_1(c_0(2(c_0(c_0(c_1(2(2(c_1(2(2(2(2(x1)))))))))))))))))))) -> 0'(1'(0'(0'(2(0'(0'(1'(2(1'(2(0'(1'(2(2(1'(0'(2(0'(2(x1)))))))))))))))))))) [1]
   0'(2(c_0(c_1(2(c_1(c_1(c_1(c_1(2(c_0(2(c_1(2(c_0(c_1(2(2(c_0(c_1(x1)))))))))))))))))))) -> 0'(1'(1'(1'(1'(2(1'(0'(0'(1'(1'(0'(2(1'(0'(0'(2(0'(0'(1'(x1)))))))))))))))))))) [1]
   0'(c_1(c_0(c_1(c_1(2(c_1(c_0(c_0(c_0(2(2(2(c_1(2(c_1(2(c_1(c_0(2(x1)))))))))))))))))))) -> 0'(1'(0'(0'(2(2(1'(2(1'(0'(1'(0'(0'(0'(2(0'(0'(2(1'(2(x1)))))))))))))))))))) [1]
   0'(c_0(c_1(c_0(2(c_1(2(2(2(2(c_0(c_1(2(c_0(c_1(c_1(2(2(c_0(2(x1)))))))))))))))))))) -> 0'(0'(2(1'(1'(0'(0'(2(2(2(0'(1'(2(2(0'(1'(2(2(0'(2(x1)))))))))))))))))))) [1]
   0'(c_1(c_1(c_0(c_1(2(c_1(2(c_0(2(2(c_1(c_0(c_0(2(c_0(c_1(c_0(c_1(c_1(x1)))))))))))))))))))) -> 0'(0'(0'(1'(2(0'(2(2(2(0'(1'(0'(1'(2(1'(1'(1'(0'(2(0'(x1)))))))))))))))))))) [1]
   encArg(2(x_1)) -> 2(encArg(x_1)) [0]
   encArg(cons_0(x_1)) -> 0'(encArg(x_1)) [0]
   encArg(cons_1(x_1)) -> 1'(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]
   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]

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

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

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

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

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

   0'(c_0(c_1(c_0(2(2(c_1(2(c_0(c_0(c_1(c_1(2(2(2(c_1(c_1(2(c_1(c_1(2(2(c_0(2(c_0(2(c_1(2(c_1(2(c_1(c_0(c_0(c_1(c_0(c_0(2(c_0(c_1(x1'))))))))))))))))))))))))))))))))))))))) -> 0'(2(0'(2(2(0'(0'(1'(2(0'(2(0'(0'(1'(1'(0'(0'(2(1'(1'(0'(1'(2(0'(1'(0'(0'(1'(0'(0'(0'(2(1'(0'(0'(1'(0'(0'(2(x1'))))))))))))))))))))))))))))))))))))))) [2]
   0'(c_0(c_1(c_0(2(2(c_1(2(c_0(c_0(c_1(c_1(2(2(2(c_1(c_1(2(c_1(c_1(x1)))))))))))))))))))) -> 0'(2(0'(2(2(0'(0'(1'(2(0'(2(0'(0'(1'(1'(0'(0'(2(1'(c_1(x1)))))))))))))))))))) [1]
   0'(c_0(c_1(c_0(2(2(c_1(2(c_0(c_0(c_1(c_1(2(2(2(c_1(c_1(2(c_1(c_1(x1)))))))))))))))))))) -> 0'(2(0'(2(2(0'(0'(1'(2(0'(2(0'(0'(1'(1'(0'(0'(2(1'(const))))))))))))))))))) [1]
   0'(c_1(c_0(c_1(2(c_1(c_1(c_1(c_0(c_0(c_1(c_1(2(2(2(c_0(2(c_0(c_1(2(x1)))))))))))))))))))) -> 0'(2(1'(1'(2(1'(0'(2(0'(1'(1'(0'(2(0'(1'(0'(2(2(0'(2(x1)))))))))))))))))))) [1]
   0'(2(c_1(c_1(c_1(c_0(2(c_1(c_1(c_0(c_1(c_0(2(2(c_0(c_0(2(c_0(2(c_1(2(2(c_0(2(c_0(2(c_1(2(c_1(2(c_1(c_0(c_0(c_1(c_0(c_0(2(c_0(c_1(x129))))))))))))))))))))))))))))))))))))))) -> 0'(1'(0'(1'(2(2(2(1'(1'(0'(2(2(1'(2(0'(0'(0'(0'(2(1'(0'(1'(2(0'(1'(0'(0'(1'(0'(0'(0'(2(1'(0'(0'(1'(0'(0'(2(x129))))))))))))))))))))))))))))))))))))))) [2]
   0'(2(c_1(c_1(c_1(c_0(2(c_1(c_1(c_0(c_1(c_0(2(2(c_0(c_0(2(c_0(2(c_1(x1)))))))))))))))))))) -> 0'(1'(0'(1'(2(2(2(1'(1'(0'(2(2(1'(2(0'(0'(0'(0'(2(c_1(x1)))))))))))))))))))) [1]
   0'(2(c_1(c_1(c_1(c_0(2(c_1(c_1(c_0(c_1(c_0(2(2(c_0(c_0(2(c_0(2(c_1(x1)))))))))))))))))))) -> 0'(1'(0'(1'(2(2(2(1'(1'(0'(2(2(1'(2(0'(0'(0'(0'(2(const))))))))))))))))))) [1]
   0'(c_1(c_0(2(2(c_1(c_1(c_0(c_1(c_0(2(2(c_1(c_0(2(c_0(c_1(c_0(c_1(c_1(x1)))))))))))))))))))) -> 0'(1'(2(0'(0'(2(2(0'(0'(0'(0'(2(1'(2(1'(0'(1'(2(0'(2(x1)))))))))))))))))))) [1]
   0'(2(c_1(2(c_0(c_1(c_1(c_1(2(c_0(c_1(c_1(2(c_1(2(c_0(2(c_0(2(c_0(c_1(c_1(2(c_0(c_1(c_0(c_1(c_0(2(c_0(c_1(c_0(c_1(c_0(2(c_1(c_1(x159))))))))))))))))))))))))))))))))))))) -> 0'(1'(2(1'(1'(0'(1'(1'(2(1'(2(0'(1'(0'(1'(2(2(0'(1'(1'(0'(0'(1'(1'(0'(0'(2(2(1'(1'(2(2(0'(0'(0'(2(0'(x159))))))))))))))))))))))))))))))))))))) [2]
   0'(2(c_1(2(c_0(c_1(c_1(c_1(2(c_0(c_1(c_1(2(c_1(2(c_0(2(c_0(2(c_0(c_0(2(c_0(c_1(c_1(2(2(2(c_0(2(2(c_0(2(c_0(c_1(2(c_0(x160))))))))))))))))))))))))))))))))))))) -> 0'(1'(2(1'(1'(0'(1'(1'(2(1'(2(0'(1'(0'(1'(2(2(0'(1'(1'(0'(0'(0'(2(0'(0'(1'(1'(1'(0'(1'(1'(0'(0'(0'(0'(2(x160))))))))))))))))))))))))))))))))))))) [2]
   0'(2(c_1(2(c_0(c_1(c_1(c_1(2(c_0(c_1(c_1(2(c_1(2(c_0(2(c_0(2(c_0(c_0(c_0(2(c_1(c_0(2(c_0(2(c_0(2(c_0(c_1(c_1(2(2(c_1(c_0(x161))))))))))))))))))))))))))))))))))))) -> 0'(1'(2(1'(1'(0'(1'(1'(2(1'(2(0'(1'(0'(1'(2(2(0'(2(0'(0'(0'(0'(0'(0'(1'(2(0'(1'(2(2(0'(1'(0'(1'(0'(1'(x161))))))))))))))))))))))))))))))))))))) [2]
   0'(2(c_1(2(c_0(c_1(c_1(c_1(2(c_0(c_1(c_1(2(c_1(2(c_0(2(c_0(2(c_0(c_0(c_1(2(2(c_0(c_1(c_1(2(c_1(c_1(2(2(2(c_1(c_0(c_1(2(x162))))))))))))))))))))))))))))))))))))) -> 0'(1'(2(1'(1'(0'(1'(1'(2(1'(2(0'(1'(0'(1'(2(2(0'(2(1'(0'(0'(0'(2(0'(1'(1'(1'(0'(1'(0'(2(2(1'(1'(2(2(x162))))))))))))))))))))))))))))))))))))) [2]
   0'(2(c_1(2(c_0(c_1(c_1(c_1(2(c_0(c_1(c_1(2(c_1(2(c_0(2(c_0(2(c_0(2(2(c_1(c_0(c_0(c_0(2(2(c_1(c_0(c_1(c_1(c_1(c_0(c_1(2(2(x163))))))))))))))))))))))))))))))))))))) -> 0'(1'(2(1'(1'(0'(1'(1'(2(1'(2(0'(1'(0'(1'(2(2(0'(0'(2(2(0'(2(0'(2(0'(1'(1'(2(0'(0'(0'(0'(2(1'(1'(2(x163))))))))))))))))))))))))))))))))))))) [2]
   0'(2(c_1(2(c_0(c_1(c_1(c_1(2(c_0(c_1(c_1(2(c_1(2(c_0(2(c_0(2(c_0(c_1(c_1(c_1(c_1(c_0(c_0(c_1(c_0(c_1(c_0(2(2(c_1(c_1(2(2(c_1(x164))))))))))))))))))))))))))))))))))))) -> 0'(1'(2(1'(1'(0'(1'(1'(2(1'(2(0'(1'(0'(1'(2(2(0'(2(2(2(0'(2(2(1'(1'(2(2(2(2(0'(2(0'(0'(2(0'(2(x164))))))))))))))))))))))))))))))))))))) [2]
   0'(2(c_1(2(c_0(c_1(c_1(c_1(2(c_0(c_1(c_1(2(c_1(2(c_0(2(c_0(2(c_0(c_1(2(c_0(c_1(c_1(c_0(c_0(c_1(c_1(2(c_0(c_1(c_1(c_0(2(2(2(x165))))))))))))))))))))))))))))))))))))) -> 0'(1'(2(1'(1'(0'(1'(1'(2(1'(2(0'(1'(0'(1'(2(2(0'(2(2(2(0'(2(0'(0'(2(2(0'(0'(2(1'(1'(0'(0'(2(1'(1'(x165))))))))))))))))))))))))))))))))))))) [2]
   0'(2(c_1(2(c_0(c_1(c_1(c_1(2(c_0(c_1(c_1(2(c_1(2(c_0(2(c_0(2(c_0(c_1(c_0(c_0(c_1(c_1(2(c_0(2(2(c_0(c_1(c_1(2(2(c_1(c_0(c_0(x166))))))))))))))))))))))))))))))))))))) -> 0'(1'(2(1'(1'(0'(1'(1'(2(1'(2(0'(1'(0'(1'(2(2(0'(2(1'(0'(2(2(0'(0'(0'(0'(0'(1'(2(1'(0'(1'(1'(2(1'(1'(x166))))))))))))))))))))))))))))))))))))) [2]
   0'(2(c_1(2(c_0(c_1(c_1(c_1(2(c_0(c_1(c_1(2(c_1(2(c_0(2(c_0(2(c_0(c_1(c_1(2(2(c_1(c_0(2(c_1(2(c_1(c_1(2(2(2(c_0(2(c_0(x167))))))))))))))))))))))))))))))))))))) -> 0'(1'(2(1'(1'(0'(1'(1'(2(1'(2(0'(1'(0'(1'(2(2(0'(2(1'(2(2(2(1'(0'(0'(1'(0'(0'(0'(1'(2(1'(1'(2(2(1'(x167))))))))))))))))))))))))))))))))))))) [2]
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   0'(c_1(c_1(c_1(2(2(c_1(2(c_1(c_1(c_1(c_0(c_0(c_1(c_1(c_1(2(c_1(c_1(c_0(x1)))))))))))))))))))) -> 0'(0'(1'(0'(2(0'(1'(1'(1'(2(0'(2(1'(2(2(0'(2(1'(2(c_1(x1)))))))))))))))))))) [1]
   0'(c_1(c_1(c_1(2(2(c_1(2(c_1(c_1(c_1(c_0(c_0(c_1(c_1(c_1(2(c_1(c_1(c_0(x1)))))))))))))))))))) -> 0'(0'(1'(0'(2(0'(1'(1'(1'(2(0'(2(1'(2(2(0'(2(1'(2(const))))))))))))))))))) [1]
   0'(c_0(2(c_0(c_1(c_1(2(c_0(2(c_1(c_0(2(2(c_1(c_1(c_0(c_1(2(c_0(c_1(2(2(c_0(2(c_0(2(c_1(2(c_1(2(c_1(c_0(c_0(c_1(c_0(c_0(2(c_0(c_1(x13583))))))))))))))))))))))))))))))))))))))) -> 0'(1'(2(0'(2(0'(1'(0'(1'(2(1'(0'(0'(2(2(1'(0'(1'(0'(1'(0'(1'(2(0'(1'(0'(0'(1'(0'(0'(0'(2(1'(0'(0'(1'(0'(0'(2(x13583))))))))))))))))))))))))))))))))))))))) [2]
   0'(c_0(2(c_0(c_1(c_1(2(c_0(2(c_1(c_0(2(2(c_1(c_1(c_0(c_1(2(c_0(c_1(x1)))))))))))))))))))) -> 0'(1'(2(0'(2(0'(1'(0'(1'(2(1'(0'(0'(2(2(1'(0'(1'(0'(c_1(x1)))))))))))))))))))) [1]
   0'(c_0(2(c_0(c_1(c_1(2(c_0(2(c_1(c_0(2(2(c_1(c_1(c_0(c_1(2(c_0(c_1(x1)))))))))))))))))))) -> 0'(1'(2(0'(2(0'(1'(0'(1'(2(1'(0'(0'(2(2(1'(0'(1'(0'(const))))))))))))))))))) [1]
   0'(c_1(c_1(2(2(2(2(c_1(c_0(2(c_0(c_0(c_1(2(2(c_1(2(2(2(2(x1)))))))))))))))))))) -> 0'(1'(0'(0'(2(0'(0'(1'(2(1'(2(0'(1'(2(2(1'(0'(2(0'(2(x1)))))))))))))))))))) [1]
   0'(2(c_0(c_1(2(c_1(c_1(c_1(c_1(2(c_0(2(c_1(2(c_0(c_1(2(2(c_0(c_1(2(2(c_0(2(c_0(2(c_1(2(c_1(2(c_1(c_0(c_0(c_1(c_0(c_0(2(c_0(c_1(x13613))))))))))))))))))))))))))))))))))))))) -> 0'(1'(1'(1'(1'(2(1'(0'(0'(1'(1'(0'(2(1'(0'(0'(2(0'(0'(1'(0'(1'(2(0'(1'(0'(0'(1'(0'(0'(0'(2(1'(0'(0'(1'(0'(0'(2(x13613))))))))))))))))))))))))))))))))))))))) [2]
   0'(2(c_0(c_1(2(c_1(c_1(c_1(c_1(2(c_0(2(c_1(2(c_0(c_1(2(2(c_0(c_1(x1)))))))))))))))))))) -> 0'(1'(1'(1'(1'(2(1'(0'(0'(1'(1'(0'(2(1'(0'(0'(2(0'(0'(c_1(x1)))))))))))))))))))) [1]
   0'(2(c_0(c_1(2(c_1(c_1(c_1(c_1(2(c_0(2(c_1(2(c_0(c_1(2(2(c_0(c_1(x1)))))))))))))))))))) -> 0'(1'(1'(1'(1'(2(1'(0'(0'(1'(1'(0'(2(1'(0'(0'(2(0'(0'(const))))))))))))))))))) [1]
   0'(c_1(c_0(c_1(c_1(2(c_1(c_0(c_0(c_0(2(2(2(c_1(2(c_1(2(c_1(c_0(2(2(c_0(2(c_0(2(c_1(2(c_1(2(c_1(c_0(c_0(c_1(c_0(c_0(2(c_0(c_1(x13614)))))))))))))))))))))))))))))))))))))) -> 0'(1'(0'(0'(2(2(1'(2(1'(0'(1'(0'(0'(0'(2(0'(0'(2(1'(0'(1'(2(0'(1'(0'(0'(1'(0'(0'(0'(2(1'(0'(0'(1'(0'(0'(2(x13614)))))))))))))))))))))))))))))))))))))) [2]
   0'(c_1(c_0(c_1(c_1(2(c_1(c_0(c_0(c_0(2(2(2(c_1(2(c_1(2(c_1(c_0(2(x1)))))))))))))))))))) -> 0'(1'(0'(0'(2(2(1'(2(1'(0'(1'(0'(0'(0'(2(0'(0'(2(c_1(2(x1)))))))))))))))))))) [1]
   0'(c_1(c_0(c_1(c_1(2(c_1(c_0(c_0(c_0(2(2(2(c_1(2(c_1(2(c_1(c_0(2(x1)))))))))))))))))))) -> 0'(1'(0'(0'(2(2(1'(2(1'(0'(1'(0'(0'(0'(2(0'(0'(2(const)))))))))))))))))) [1]
   0'(c_0(c_1(c_0(2(c_1(2(2(2(2(c_0(c_1(2(c_0(c_1(c_1(2(2(c_0(2(x1)))))))))))))))))))) -> 0'(0'(2(1'(1'(0'(0'(2(2(2(0'(1'(2(2(0'(1'(2(2(0'(2(x1)))))))))))))))))))) [1]
   0'(c_1(c_1(c_0(c_1(2(c_1(2(c_0(2(2(c_1(c_0(c_0(2(c_0(c_1(c_0(c_1(c_1(x1)))))))))))))))))))) -> 0'(0'(0'(1'(2(0'(2(2(2(0'(1'(0'(1'(2(1'(1'(1'(0'(2(0'(x1)))))))))))))))))))) [1]
   encArg(2(x_1)) -> 2(encArg(x_1)) [0]
   encArg(cons_0(2(x_1'))) -> 0'(2(encArg(x_1'))) [0]
   encArg(cons_0(cons_0(x_1''))) -> 0'(0'(encArg(x_1''))) [0]
   encArg(cons_0(cons_1(x_11))) -> 0'(1'(encArg(x_11))) [0]
   encArg(cons_0(x_1)) -> 0'(const) [0]
   encArg(cons_1(2(x_12))) -> 1'(2(encArg(x_12))) [0]
   encArg(cons_1(cons_0(x_13))) -> 1'(0'(encArg(x_13))) [0]
   encArg(cons_1(cons_1(x_14))) -> 1'(1'(encArg(x_14))) [0]
   encArg(cons_1(x_1)) -> 1'(const) [0]
   encode_0(2(x_15)) -> 0'(2(encArg(x_15))) [0]
   encode_0(cons_0(x_16)) -> 0'(0'(encArg(x_16))) [0]
   encode_0(cons_1(x_17)) -> 0'(1'(encArg(x_17))) [0]
   encode_0(x_1) -> 0'(const) [0]
   encode_1(2(x_18)) -> 1'(2(encArg(x_18))) [0]
   encode_1(cons_0(x_19)) -> 1'(0'(encArg(x_19))) [0]
   encode_1(cons_1(x_110)) -> 1'(1'(encArg(x_110))) [0]
   encode_1(x_1) -> 1'(const) [0]
   encode_2(x_1) -> 2(encArg(x_1)) [0]
   0'(x0) -> c_0(x0) [0]
   1'(x0) -> c_1(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]

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

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

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

   const => 0

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

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

   0'(z) -{ 2 }-> 0'(1'(1'(1'(1'(1 + 1'(0'(0'(1'(1'(0'(1 + 1'(0'(0'(1 + 0'(0'(1'(0'(1'(1 + 0'(1'(0'(0'(1'(0'(0'(0'(1 + 1'(0'(0'(1'(0'(0'(1 + x13613))))))))))))))))))))))))))))))))) :|: x13613 >= 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 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x13613)))))))))))))))))))))))))))))))))))))
   0'(z) -{ 1 }-> 0'(1'(1'(1'(1'(1 + 1'(0'(0'(1'(1'(0'(1 + 1'(0'(0'(1 + 0'(0'(0)))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   0'(z) -{ 1 }-> 0'(1'(1'(1'(1'(1 + 1'(0'(0'(1'(1'(0'(1 + 1'(0'(0'(1 + 0'(0'(1 + x1)))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   0'(z) -{ 2 }-> 0'(1'(1'(1'(0'(1 + 1'(0'(1'(1 + 1'(0'(0'(0'(1 + 1'(1'(1 + 0'(1'(0'(1'(1 + 0'(1'(0'(0'(1'(0'(0'(0'(1 + 1'(0'(0'(1'(0'(0'(1 + x1859)))))))))))))))))))))))))))))))) :|: x1859 >= 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 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1859)))))))))))))))))))))))))))))))))))))
   0'(z) -{ 1 }-> 0'(1'(1'(1'(0'(1 + 1'(0'(1'(1 + 1'(0'(0'(0'(1 + 1'(1'(1 + 0'(0))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   0'(z) -{ 1 }-> 0'(1'(1'(1'(0'(1 + 1'(0'(1'(1 + 1'(0'(0'(0'(1 + 1'(1'(1 + 0'(1 + x1))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   0'(z) -{ 1 }-> 0'(1'(1'(1'(1 + 1'(1 + (1 + 0'(1'(1'(0'(1 + (1 + 0'(0'(1 + 1'(0'(1 + x1))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   0'(z) -{ 1 }-> 0'(1'(1'(0'(0'(1'(1'(0'(0'(1 + (1 + 1'(1'(1 + (1 + 0'(0'(0'(1 + 0'(x1))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   0'(z) -{ 1 }-> 0'(1'(1'(0'(0'(0'(1 + 0'(0'(1'(1'(1'(0'(1'(1'(0'(0'(0'(0'(1 + x1)))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   0'(z) -{ 1 }-> 0'(1'(1'(0'(0'(1 + 0'(0'(1 + 0'(1 + 1'(1'(1'(1'(1'(0'(1 + 0'(1 + x1))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   0'(z) -{ 1 }-> 0'(1'(1'(1 + (1 + 0'(0'(1 + 0'(1 + (1 + 0'(0'(1'(0'(0'(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 + x1))))))))))))))))))
   0'(z) -{ 1 }-> 0'(1'(0'(1'(1'(1 + 1'(0'(0'(1'(0'(0'(1 + (1 + (1 + 1'(0'(1 + 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 + x1))))))))))))))))))
   0'(z) -{ 2 }-> 0'(1'(0'(1'(0'(0'(0'(1'(0'(1 + 1'(1'(0'(0'(1 + 1'(1 + 0'(1 + 1'(0'(1'(1 + 0'(1'(0'(0'(1'(0'(0'(0'(1 + 1'(0'(0'(1'(0'(0'(1 + x1228)))))))))))))))))))))))))))))))) :|: 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 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1228))))))))))))))))))))))))))))))))))))), x1228 >= 0
   0'(z) -{ 1 }-> 0'(1'(0'(1'(0'(0'(0'(1'(0'(1 + 1'(1'(0'(0'(1 + 1'(1 + 0'(1 + 0))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   0'(z) -{ 1 }-> 0'(1'(0'(1'(0'(0'(0'(1'(0'(1 + 1'(1'(0'(0'(1 + 1'(1 + 0'(1 + (1 + x1)))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   0'(z) -{ 1 }-> 0'(1'(0'(1'(0'(1 + 0'(0'(0'(1'(1'(1'(1 + 0'(0'(0'(0)))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   0'(z) -{ 1 }-> 0'(1'(0'(1'(0'(1 + 0'(0'(0'(1'(1'(1'(1 + 0'(0'(0'(1 + (1 + (1 + (1 + x1))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   0'(z) -{ 2 }-> 0'(1'(0'(1'(1 + (1 + (1 + 1'(1'(0'(1 + (1 + 1'(1 + 0'(0'(0'(0'(1 + 1'(0'(1'(1 + 0'(1'(0'(0'(1'(0'(0'(0'(1 + 1'(0'(0'(1'(0'(0'(1 + x129)))))))))))))))))))))))))))))))) :|: 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 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x129))))))))))))))))))))))))))))))))))))), x129 >= 0
   0'(z) -{ 1 }-> 0'(1'(0'(1'(1 + (1 + (1 + 1'(1'(0'(1 + (1 + 1'(1 + 0'(0'(0'(0'(1 + 0))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   0'(z) -{ 1 }-> 0'(1'(0'(1'(1 + (1 + (1 + 1'(1'(0'(1 + (1 + 1'(1 + 0'(0'(0'(0'(1 + (1 + x1)))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   0'(z) -{ 1 }-> 0'(1'(0'(1'(1 + (1 + (1 + 0'(1 + (1 + 1'(1'(1 + (1 + (1 + 0'(0'(0'(1'(0'(x1))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   0'(z) -{ 2 }-> 0'(1'(0'(0'(1'(1'(1 + (1 + 0'(1 + (1 + 0'(1 + 0'(0'(0'(1 + (1 + 1'(1'(0'(1'(1 + 0'(1'(0'(0'(1'(0'(0'(0'(1 + 1'(0'(0'(1'(0'(0'(1 + x11087)))))))))))))))))))))))))))))))) :|: x11087 >= 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 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11087)))))))))))))))))))))))))))))))))))))
   0'(z) -{ 1 }-> 0'(1'(0'(0'(1'(1'(1 + (1 + 0'(1 + (1 + 0'(1 + 0'(0'(0'(1 + (1 + 1'(0))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   0'(z) -{ 1 }-> 0'(1'(0'(0'(1'(1'(1 + (1 + 0'(1 + (1 + 0'(1 + 0'(0'(0'(1 + (1 + 1'(1 + x1))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   0'(z) -{ 1 }-> 0'(1'(0'(0'(1 + 1'(0'(1'(1'(0'(1'(1 + (1 + 0'(1'(1 + 1'(0'(1'(0'(x1))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   0'(z) -{ 1 }-> 0'(1'(0'(0'(1 + 0'(0'(1'(1 + 1'(1 + 0'(1'(1 + (1 + 1'(0'(1 + 0'(1 + x1)))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   0'(z) -{ 2 }-> 0'(1'(0'(0'(1 + (1 + 1'(1 + 1'(0'(1'(0'(0'(0'(1 + 0'(0'(1 + 1'(0'(1'(1 + 0'(1'(0'(0'(1'(0'(0'(0'(1 + 1'(0'(0'(1'(0'(0'(1 + x13614))))))))))))))))))))))))))))))) :|: x13614 >= 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 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x13614))))))))))))))))))))))))))))))))))))
   0'(z) -{ 1 }-> 0'(1'(0'(0'(1 + (1 + 1'(1 + 1'(0'(1'(0'(0'(0'(1 + 0'(0'(1 + 0)))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   0'(z) -{ 1 }-> 0'(1'(0'(0'(1 + (1 + 1'(1 + 1'(0'(1'(0'(0'(0'(1 + 0'(0'(1 + (1 + (1 + x1)))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   0'(z) -{ 2 }-> 0'(1'(0'(0'(1 + (1 + 0'(0'(1 + (1 + 0'(1 + 0'(0'(1'(1 + 1'(0'(1'(0'(1'(1 + 0'(1'(0'(0'(1'(0'(0'(0'(1 + 1'(0'(0'(1'(0'(0'(1 + x1198))))))))))))))))))))))))))))))) :|: 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 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1198)))))))))))))))))))))))))))))))))))), x1198 >= 0
   0'(z) -{ 1 }-> 0'(1'(0'(0'(1 + (1 + 0'(0'(1 + (1 + 0'(1 + 0'(0'(1'(1 + 1'(0'(0)))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   0'(z) -{ 1 }-> 0'(1'(0'(0'(1 + (1 + 0'(0'(1 + (1 + 0'(1 + 0'(0'(1'(1 + 1'(0'(1 + (1 + x1))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   0'(z) -{ 1 }-> 0'(1'(0'(1 + 1'(1 + 1'(1'(0'(0'(1 + (1 + (1 + 0'(0'(1'(1 + (1 + 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 + x1))))))))))))))))))
   0'(z) -{ 2 }-> 0'(1'(0'(1 + 0'(1 + (1 + 1'(0'(1'(0'(1 + 1'(1 + 1'(0'(1'(1'(1'(0'(1'(1 + 0'(1'(0'(0'(1'(0'(0'(0'(1 + 1'(0'(0'(1'(0'(0'(1 + x1197))))))))))))))))))))))))))))))) :|: 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 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1197)))))))))))))))))))))))))))))))))))), x1197 >= 0
   0'(z) -{ 1 }-> 0'(1'(0'(1 + 0'(1 + (1 + 1'(0'(1'(0'(1 + 1'(1 + 1'(0'(1'(1'(0)))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   0'(z) -{ 1 }-> 0'(1'(0'(1 + 0'(1 + (1 + 1'(0'(1'(0'(1 + 1'(1 + 1'(0'(1'(1'(1 + (1 + x1))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   0'(z) -{ 2 }-> 0'(1'(1 + 1'(1'(0'(1'(1'(1 + 1'(1 + 0'(1'(0'(1'(1 + (1 + 0'(1'(1'(0'(0'(1'(1'(0'(0'(1 + (1 + 1'(1'(1 + (1 + 0'(0'(0'(1 + 0'(x159)))))))))))))))))))))))))))))) :|: x159 >= 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 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x159)))))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 0'(1'(1 + 1'(1'(0'(1'(1'(1 + 1'(1 + 0'(1'(0'(1'(1 + (1 + 0'(1'(1'(0'(0'(0'(1 + 0'(0'(1'(1'(1'(0'(1'(1'(0'(0'(0'(0'(1 + x160))))))))))))))))))))))))))))))) :|: 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 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x160))))))))))))))))))))))))))))))))))), x160 >= 0
   0'(z) -{ 2 }-> 0'(1'(1 + 1'(1'(0'(1'(1'(1 + 1'(1 + 0'(1'(0'(1'(1 + (1 + 0'(0'(1 + (1 + 0'(1 + 0'(1 + 0'(1'(1'(1 + 0'(0'(0'(0'(1 + 1'(1'(1 + x163))))))))))))))))))))))))))) :|: x163 >= 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 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x163)))))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 0'(1'(1 + 1'(1'(0'(1'(1'(1 + 1'(1 + 0'(1'(0'(1'(1 + (1 + 0'(1 + 1'(0'(0'(0'(1 + 0'(1'(1'(1'(0'(1'(0'(1 + (1 + 1'(1'(1 + (1 + x162))))))))))))))))))))))))))))) :|: 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 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x162))))))))))))))))))))))))))))))))))), x162 >= 0
   0'(z) -{ 2 }-> 0'(1'(1 + 1'(1'(0'(1'(1'(1 + 1'(1 + 0'(1'(0'(1'(1 + (1 + 0'(1 + 1'(0'(1 + (1 + 0'(0'(0'(0'(0'(1'(1 + 1'(0'(1'(1'(1 + 1'(1'(x166))))))))))))))))))))))))))))) :|: x166 >= 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 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x166)))))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 0'(1'(1 + 1'(1'(0'(1'(1'(1 + 1'(1 + 0'(1'(0'(1'(1 + (1 + 0'(1 + 1'(1 + (1 + (1 + 1'(0'(0'(1'(0'(0'(0'(1'(1 + 1'(1'(1 + (1 + 1'(x167))))))))))))))))))))))))))))) :|: 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 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x167))))))))))))))))))))))))))))))))))), x167 >= 0
   0'(z) -{ 2 }-> 0'(1'(1 + 1'(1'(0'(1'(1'(1 + 1'(1 + 0'(1'(0'(1'(1 + (1 + 0'(1 + 0'(0'(0'(0'(0'(0'(1'(1 + 0'(1'(1 + (1 + 0'(1'(0'(1'(0'(1'(x161)))))))))))))))))))))))))))))) :|: 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 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x161))))))))))))))))))))))))))))))))))), x161 >= 0
   0'(z) -{ 2 }-> 0'(1'(1 + 1'(1'(0'(1'(1'(1 + 1'(1 + 0'(1'(0'(1'(1 + (1 + 0'(1 + (1 + (1 + 0'(1 + 0'(0'(1 + (1 + 0'(0'(1 + 1'(1'(0'(0'(1 + 1'(1'(x165)))))))))))))))))))))))))))) :|: 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 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x165))))))))))))))))))))))))))))))))))), x165 >= 0
   0'(z) -{ 2 }-> 0'(1'(1 + 1'(1'(0'(1'(1'(1 + 1'(1 + 0'(1'(0'(1'(1 + (1 + 0'(1 + (1 + (1 + 0'(1 + (1 + 1'(1'(1 + (1 + (1 + (1 + 0'(1 + 0'(0'(1 + 0'(1 + x164))))))))))))))))))))))))))) :|: x164 >= 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 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x164)))))))))))))))))))))))))))))))))))
   0'(z) -{ 1 }-> 0'(1'(1 + 1'(1'(0'(1'(1'(1 + 1'(1 + 0'(1'(0'(1'(1 + (1 + 0))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   0'(z) -{ 1 }-> 0'(1'(1 + 1'(1'(0'(1'(1'(1 + 1'(1 + 0'(1'(0'(1'(1 + (1 + (1 + (1 + (1 + x1)))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   0'(z) -{ 2 }-> 0'(1'(1 + 1'(0'(1 + 1'(0'(1'(1 + (1 + (1 + 0'(0'(1 + 0'(1 + (1 + 1'(0'(1'(1 + 0'(1'(0'(0'(1'(0'(0'(0'(1 + 1'(0'(0'(1'(0'(0'(1 + x12341)))))))))))))))))))))))))))))) :|: 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 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x12341)))))))))))))))))))))))))))))))))))), x12341 >= 0
   0'(z) -{ 1 }-> 0'(1'(1 + 1'(0'(1 + 1'(0'(1'(1 + (1 + (1 + 0'(0'(1 + 0'(1 + (1 + 0))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   0'(z) -{ 1 }-> 0'(1'(1 + 1'(0'(1 + 1'(0'(1'(1 + (1 + (1 + 0'(0'(1 + 0'(1 + (1 + (1 + (1 + x1))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   0'(z) -{ 1 }-> 0'(1'(1 + 0'(1'(1 + 1'(0'(1'(0'(1'(0'(1 + 0'(1'(1'(1'(1'(0'(1 + x1)))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   0'(z) -{ 2 }-> 0'(1'(1 + 0'(0'(0'(1 + 1'(1 + 0'(1'(1 + (1 + (1 + (1 + 0'(1'(1'(0'(1'(0'(1'(1 + 0'(1'(0'(0'(1'(0'(0'(0'(1 + 1'(0'(0'(1'(0'(0'(1 + x13256)))))))))))))))))))))))))))))))) :|: x13256 >= 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 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x13256)))))))))))))))))))))))))))))))))))))
   0'(z) -{ 1 }-> 0'(1'(1 + 0'(0'(0'(1 + 1'(1 + 0'(1'(1 + (1 + (1 + (1 + 0'(1'(1'(0'(0))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   0'(z) -{ 1 }-> 0'(1'(1 + 0'(0'(0'(1 + 1'(1 + 0'(1'(1 + (1 + (1 + (1 + 0'(1'(1'(0'(1 + x1))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   0'(z) -{ 1 }-> 0'(1'(1 + 0'(0'(1 + (1 + 0'(0'(0'(0'(1 + 1'(1 + 1'(0'(1'(1 + 0'(1 + x1)))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   0'(z) -{ 2 }-> 0'(1'(1 + 0'(1 + 0'(1'(0'(1'(1 + 1'(0'(0'(1 + (1 + 1'(0'(1'(0'(1'(0'(1'(1 + 0'(1'(0'(0'(1'(0'(0'(0'(1 + 1'(0'(0'(1'(0'(0'(1 + x13583)))))))))))))))))))))))))))))))) :|: x13583 >= 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 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x13583)))))))))))))))))))))))))))))))))))))
   0'(z) -{ 1 }-> 0'(1'(1 + 0'(1 + 0'(1'(0'(1'(1 + 1'(0'(0'(1 + (1 + 1'(0'(1'(0'(0))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   0'(z) -{ 1 }-> 0'(1'(1 + 0'(1 + 0'(1'(0'(1'(1 + 1'(0'(0'(1 + (1 + 1'(0'(1'(0'(1 + x1))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   0'(z) -{ 2 }-> 0'(1'(1 + 0'(1 + (1 + 1'(1'(1'(0'(1'(0'(1 + 1'(1 + 1'(1 + 1'(1 + 1'(0'(1'(1 + 0'(1'(0'(0'(1'(0'(0'(0'(1 + 1'(0'(0'(1'(0'(0'(1 + x12640)))))))))))))))))))))))))))))) :|: x12640 >= 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 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x12640)))))))))))))))))))))))))))))))))))))
   0'(z) -{ 1 }-> 0'(1'(1 + 0'(1 + (1 + 1'(1'(1'(0'(1'(0'(1 + 1'(1 + 1'(1 + 1'(1 + 0))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   0'(z) -{ 1 }-> 0'(1'(1 + 0'(1 + (1 + 1'(1'(1'(0'(1'(0'(1 + 1'(1 + 1'(1 + 1'(1 + (1 + x1)))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   0'(z) -{ 1 }-> 0'(1'(1 + (1 + 0'(1'(1'(1'(1 + 0'(1 + 0'(0'(1'(1 + 0'(1 + 1'(1 + 0'(x1)))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   0'(z) -{ 2 }-> 0'(1'(1 + (1 + 0'(1 + (1 + (1 + 1'(0'(1'(1 + (1 + 1'(0'(0'(1'(1'(1'(0'(1'(1 + 0'(1'(0'(0'(1'(0'(0'(0'(1 + 1'(0'(0'(1'(0'(0'(1 + x13157)))))))))))))))))))))))))))))))) :|: 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 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x13157)))))))))))))))))))))))))))))))))))), x13157 >= 0
   0'(z) -{ 1 }-> 0'(1'(1 + (1 + 0'(1 + (1 + (1 + 1'(0'(1'(1 + (1 + 1'(0'(0'(1'(1'(0))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   0'(z) -{ 1 }-> 0'(1'(1 + (1 + 0'(1 + (1 + (1 + 1'(0'(1'(1 + (1 + 1'(0'(0'(1'(1'(1 + (1 + x1)))))))))))))))) :|: x1 >= 0, z = 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'(1'(1'(1'(0'(1'(0'(0'(0'(1 + (1 + 1'(1'(1 + 0'(0'(1 + 1'(0'(1'(1 + 0'(1'(0'(0'(1'(0'(0'(0'(1 + 1'(0'(0'(1'(0'(0'(1 + x11936)))))))))))))))))))))))))))))))) :|: 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 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11936)))))))))))))))))))))))))))))))))))), x11936 >= 0
   0'(z) -{ 1 }-> 0'(0'(1'(1'(1'(0'(1'(0'(0'(0'(1 + (1 + 1'(1'(1 + 0'(0'(1 + 0))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   0'(z) -{ 1 }-> 0'(0'(1'(1'(1'(0'(1'(0'(0'(0'(1 + (1 + 1'(1'(1 + 0'(0'(1 + (1 + (1 + x1))))))))))))))))) :|: x1 >= 0, z = 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'(1'(1'(1'(1 + 1'(0'(1 + 0'(0'(0'(1'(1 + (1 + 0'(0'(1'(1'(1'(0'(1'(1 + 0'(1'(0'(0'(1'(0'(0'(0'(1 + 1'(0'(0'(1'(0'(0'(1 + x1988))))))))))))))))))))))))))))))))) :|: 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 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1988))))))))))))))))))))))))))))))))))))), x1988 >= 0
   0'(z) -{ 1 }-> 0'(0'(1'(1'(1'(1 + 1'(0'(1 + 0'(0'(0'(1'(1 + (1 + 0'(0'(1'(1'(0)))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   0'(z) -{ 1 }-> 0'(0'(1'(1'(1'(1 + 1'(0'(1 + 0'(0'(0'(1'(1 + (1 + 0'(0'(1'(1'(1 + x1)))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   0'(z) -{ 1 }-> 0'(0'(1'(0'(1'(0'(1'(1'(1 + 1'(0'(0'(0'(1'(1 + (1 + (1 + 0'(1'(0'(x1)))))))))))))))))) :|: x1 >= 0, z = 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'(1'(0'(0'(0'(0'(1 + (1 + (1 + (1 + 0'(0'(0'(1'(0'(0'(1 + 1'(1'(0'(1'(1 + 0'(1'(0'(0'(1'(0'(0'(0'(1 + 1'(0'(0'(1'(0'(0'(1 + x13000)))))))))))))))))))))))))))))))))) :|: x13000 >= 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 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x13000)))))))))))))))))))))))))))))))))))))
   0'(z) -{ 1 }-> 0'(0'(1'(0'(0'(0'(0'(1 + (1 + (1 + (1 + 0'(0'(0'(1'(0'(0'(1 + 1'(0))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   0'(z) -{ 1 }-> 0'(0'(1'(0'(0'(0'(0'(1 + (1 + (1 + (1 + 0'(0'(0'(1'(0'(0'(1 + 1'(1 + x1))))))))))))))))) :|: x1 >= 0, z = 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'(1'(0'(0'(1 + 0'(1 + 0'(1'(1 + 1'(0'(0'(0'(1'(0'(0'(1 + 1'(0'(1'(1 + 0'(1'(0'(0'(1'(0'(0'(0'(1 + 1'(0'(0'(1'(0'(0'(1 + x12441)))))))))))))))))))))))))))))))) :|: x12441 >= 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 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x12441)))))))))))))))))))))))))))))))))))))
   0'(z) -{ 1 }-> 0'(0'(1'(0'(0'(1 + 0'(1 + 0'(1'(1 + 1'(0'(0'(0'(1'(0'(0'(1 + 0))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (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'(1'(1 + 1'(0'(0'(0'(1'(0'(0'(1 + (1 + x1)))))))))))))))) :|: x1 >= 0, z = 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'(1'(0'(1 + 0'(1'(1'(1'(1 + 0'(1 + 1'(1 + (1 + 0'(1 + 1'(1 + 1'(0'(1'(1 + 0'(1'(0'(0'(1'(0'(0'(0'(1 + 1'(0'(0'(1'(0'(0'(1 + x13582)))))))))))))))))))))))))))))) :|: x13582 >= 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 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x13582)))))))))))))))))))))))))))))))))))))
   0'(z) -{ 1 }-> 0'(0'(1'(0'(1 + 0'(1'(1'(1'(1 + 0'(1 + 1'(1 + (1 + 0'(1 + 1'(1 + 0))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   0'(z) -{ 1 }-> 0'(0'(1'(0'(1 + 0'(1'(1'(1'(1 + 0'(1 + 1'(1 + (1 + 0'(1 + 1'(1 + (1 + x1)))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   0'(z) -{ 1 }-> 0'(0'(1'(1 + 1'(1 + 1'(1 + 1'(1 + 0'(1'(1 + 1'(0'(0'(0'(1'(1 + 0'(x1)))))))))))))) :|: x1 >= 0, z = 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'(1'(1 + 0'(0'(1'(1'(0'(1 + 0'(1 + 0'(0'(0'(0'(0'(1 + 0'(1'(0'(1'(1 + 0'(1'(0'(0'(1'(0'(0'(0'(1 + 1'(0'(0'(1'(0'(0'(1 + x11313)))))))))))))))))))))))))))))))) :|: 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 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11313))))))))))))))))))))))))))))))))))))), x11313 >= 0
   0'(z) -{ 1 }-> 0'(0'(1'(1 + 0'(0'(1'(1'(0'(1 + 0'(1 + 0'(0'(0'(0'(0'(1 + 0'(0))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   0'(z) -{ 1 }-> 0'(0'(1'(1 + 0'(0'(1'(1'(0'(1 + 0'(1 + 0'(0'(0'(0'(0'(1 + 0'(1 + x1))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   0'(z) -{ 1 }-> 0'(0'(1'(1 + 0'(0'(0'(0'(0'(0'(1'(1'(0'(1 + 0'(1 + 1'(1 + 1'(0'(x1)))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   0'(z) -{ 1 }-> 0'(0'(1'(1 + (1 + (1 + 1'(0'(0'(1'(1'(1 + 1'(1'(1 + 0'(0'(1'(1 + 0'(x1)))))))))))))))) :|: x1 >= 0, z = 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'(1'(0'(1'(1'(1 + 0'(1 + 0'(0'(1 + (1 + (1 + (1 + 1'(0'(1 + 1'(0'(1'(1 + 0'(1'(0'(0'(1'(0'(0'(0'(1 + 1'(0'(0'(1'(0'(0'(1 + x11938)))))))))))))))))))))))))))))))) :|: x11938 >= 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 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11938)))))))))))))))))))))))))))))))))))))
   0'(z) -{ 1 }-> 0'(0'(0'(1'(0'(1'(1'(1 + 0'(1 + 0'(0'(1 + (1 + (1 + (1 + 1'(0'(1 + 0))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   0'(z) -{ 1 }-> 0'(0'(0'(1'(0'(1'(1'(1 + 0'(1 + 0'(0'(1 + (1 + (1 + (1 + 1'(0'(1 + (1 + x1)))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   0'(z) -{ 1 }-> 0'(0'(0'(1'(0'(1'(0'(1'(1'(1'(1 + 0'(1'(1 + (1 + 0'(1 + (1 + 0'(1 + x1)))))))))))))))) :|: x1 >= 0, z = 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'(1'(1 + 0'(1 + 1'(1 + (1 + 0'(0'(0'(1'(0'(1'(0'(0'(1'(0'(1'(1 + 0'(1'(0'(0'(1'(0'(0'(0'(1 + 1'(0'(0'(1'(0'(0'(1 + x12642)))))))))))))))))))))))))))))))) :|: x12642 >= 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 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x12642))))))))))))))))))))))))))))))))))))
   0'(z) -{ 1 }-> 0'(0'(0'(1'(1 + 0'(1 + 1'(1 + (1 + 0'(0'(0'(1'(0'(1'(0'(0'(0))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   0'(z) -{ 1 }-> 0'(0'(0'(1'(1 + 0'(1 + 1'(1 + (1 + 0'(0'(0'(1'(0'(1'(0'(0'(1 + (1 + x1)))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   0'(z) -{ 1 }-> 0'(0'(0'(1'(1 + 0'(1 + (1 + (1 + 0'(1'(0'(1'(1 + 1'(1'(1'(0'(1 + 0'(x1)))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   0'(z) -{ 1 }-> 0'(0'(0'(1'(1 + (1 + 0'(0'(0'(1'(1 + 0'(0'(0'(1 + (1 + 0'(1'(0'(1 + x1)))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   0'(z) -{ 1 }-> 0'(0'(0'(0'(1 + 0'(0'(0'(1 + (1 + (1 + 0'(1 + 0'(1'(0'(1'(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 + x1))))))))))))))))))
   0'(z) -{ 1 }-> 0'(0'(0'(1 + 1'(0'(1'(1 + 1'(1 + 1'(1'(1'(1 + 0'(0'(0'(1'(1'(0'(x1)))))))))))))))) :|: x1 >= 0, z = 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'(1 + 0'(1'(1'(1 + (1 + 0'(1 + 0'(0'(1 + 1'(0'(0'(1 + 1'(1'(0'(1'(1 + 0'(1'(0'(0'(1'(0'(0'(0'(1 + 1'(0'(0'(1'(0'(0'(1 + x12999))))))))))))))))))))))))))))))) :|: 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 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x12999))))))))))))))))))))))))))))))))))))), x12999 >= 0
   0'(z) -{ 1 }-> 0'(0'(0'(1 + 0'(1'(1'(1 + (1 + 0'(1 + 0'(0'(1 + 1'(0'(0'(1 + 1'(0)))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   0'(z) -{ 1 }-> 0'(0'(0'(1 + 0'(1'(1'(1 + (1 + 0'(1 + 0'(0'(1 + 1'(0'(0'(1 + 1'(1 + x1)))))))))))))) :|: x1 >= 0, z = 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'(1 + (1 + 1'(0'(0'(1'(1 + 1'(0'(1 + (1 + 1'(0'(0'(1 + (1 + 1'(0'(1'(1 + 0'(1'(0'(0'(1'(0'(0'(0'(1 + 1'(0'(0'(1'(0'(0'(1 + x1195)))))))))))))))))))))))))))))))) :|: 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 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1195))))))))))))))))))))))))))))))))))))), x1195 >= 0
   0'(z) -{ 1 }-> 0'(0'(0'(1 + (1 + 1'(0'(0'(1'(1 + 1'(0'(1 + (1 + 1'(0'(0'(1 + (1 + 0))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   0'(z) -{ 1 }-> 0'(0'(0'(1 + (1 + 1'(0'(0'(1'(1 + 1'(0'(1 + (1 + 1'(0'(0'(1 + (1 + (1 + x1)))))))))))))))) :|: x1 >= 0, z = 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'(1 + 1'(1'(0'(0'(1 + 0'(1 + 1'(0'(1'(1'(0'(1 + (1 + 0'(1'(0'(1'(1 + 0'(1'(0'(0'(1'(0'(0'(0'(1 + 1'(0'(0'(1'(0'(0'(1 + x13355))))))))))))))))))))))))))))))) :|: x13355 >= 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 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x13355))))))))))))))))))))))))))))))))))))
   0'(z) -{ 1 }-> 0'(0'(1 + 1'(1'(0'(0'(1 + 0'(1 + 1'(0'(1'(1'(0'(1 + (1 + 0'(0)))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   0'(z) -{ 1 }-> 0'(0'(1 + 1'(1'(0'(0'(1 + 0'(1 + 1'(0'(1'(1'(0'(1 + (1 + 0'(1 + (1 + x1))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   0'(z) -{ 1 }-> 0'(0'(1 + 1'(1'(0'(0'(1 + (1 + (1 + 0'(1'(1 + (1 + 0'(1'(1 + (1 + 0'(1 + x1))))))))))))))) :|: x1 >= 0, z = 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'(1 + 1'(0'(0'(0'(1 + (1 + (1 + (1 + 0'(0'(1 + 0'(1 + 1'(1 + 1'(0'(1'(1 + 0'(1'(0'(0'(1'(0'(0'(0'(1 + 1'(0'(0'(1'(0'(0'(1 + x1987)))))))))))))))))))))))))))))) :|: 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 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1987)))))))))))))))))))))))))))))))))))), x1987 >= 0
   0'(z) -{ 1 }-> 0'(0'(1 + 1'(0'(0'(0'(1 + (1 + (1 + (1 + 0'(0'(1 + 0'(1 + 1'(1 + 0))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   0'(z) -{ 1 }-> 0'(0'(1 + 1'(0'(0'(0'(1 + (1 + (1 + (1 + 0'(0'(1 + 0'(1 + 1'(1 + (1 + (1 + x1))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   0'(z) -{ 1 }-> 0'(0'(1 + 1'(1 + 0'(0'(0'(1 + 0'(1'(1 + (1 + (1 + 1'(0'(1'(1'(1'(0'(x1)))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   0'(z) -{ 1 }-> 0'(0'(1 + 1'(1 + (1 + (1 + 1'(1 + 1'(0'(0'(0'(1 + (1 + 1'(0'(1'(1 + 0'(x1))))))))))))))) :|: x1 >= 0, z = 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'(1 + 0'(0'(1'(0'(1 + (1 + 1'(0'(1'(1'(0'(0'(1 + 0'(1 + (1 + 1'(0'(1'(1 + 0'(1'(0'(0'(1'(0'(0'(0'(1 + 1'(0'(0'(1'(0'(0'(1 + x1662)))))))))))))))))))))))))))))))) :|: 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 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1662))))))))))))))))))))))))))))))))))))), x1662 >= 0
   0'(z) -{ 1 }-> 0'(0'(1 + 0'(0'(1'(0'(1 + (1 + 1'(0'(1'(1'(0'(0'(1 + 0'(1 + (1 + 0))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   0'(z) -{ 1 }-> 0'(0'(1 + 0'(0'(1'(0'(1 + (1 + 1'(0'(1'(1'(0'(0'(1 + 0'(1 + (1 + (1 + x1)))))))))))))))) :|: x1 >= 0, z = 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'(1 + 0'(0'(1 + 0'(1 + 1'(0'(1 + (1 + (1 + 0'(0'(0'(1 + 1'(1'(0'(1'(1 + 0'(1'(0'(0'(1'(0'(0'(0'(1 + 1'(0'(0'(1'(0'(0'(1 + x1427)))))))))))))))))))))))))))))) :|: x1427 >= 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 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1427))))))))))))))))))))))))))))))))))))
   0'(z) -{ 1 }-> 0'(0'(1 + 0'(0'(1 + 0'(1 + 1'(0'(1 + (1 + (1 + 0'(0'(0'(1 + 1'(0))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   0'(z) -{ 1 }-> 0'(0'(1 + 0'(0'(1 + 0'(1 + 1'(0'(1 + (1 + (1 + 0'(0'(0'(1 + 1'(1 + (1 + x1)))))))))))))) :|: x1 >= 0, z = 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'(1 + (1 + 0'(1 + 0'(1 + 0'(1'(1'(1 + 0'(0'(0'(0'(1 + 1'(1'(0'(1'(1 + 0'(1'(0'(0'(1'(0'(0'(0'(1 + 1'(0'(0'(1'(0'(0'(1 + x12639)))))))))))))))))))))))))))))) :|: x12639 >= 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 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x12639))))))))))))))))))))))))))))))))))))
   0'(z) -{ 1 }-> 0'(0'(1 + (1 + 0'(1 + 0'(1 + 0'(1'(1'(1 + 0'(0'(0'(0'(1 + 1'(0))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   0'(z) -{ 1 }-> 0'(0'(1 + (1 + 0'(1 + 0'(1 + 0'(1'(1'(1 + 0'(0'(0'(0'(1 + 1'(1 + (1 + x1)))))))))))))) :|: x1 >= 0, z = 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'(1 + (1 + 0'(1 + (1 + (1 + 1'(0'(1 + 1'(1 + 0'(1 + (1 + 0'(0'(1'(1'(0'(0'(1'(1'(0'(0'(1 + (1 + 1'(1'(1 + (1 + 0'(0'(0'(1 + 0'(x11939))))))))))))))))))))))))))))) :|: x11939 >= 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 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11939)))))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 0'(0'(1 + (1 + 0'(1 + (1 + (1 + 1'(0'(1 + 1'(1 + 0'(1 + (1 + 0'(0'(1'(1'(0'(0'(0'(1 + 0'(0'(1'(1'(1'(0'(1'(1'(0'(0'(0'(0'(1 + x11940)))))))))))))))))))))))))))))) :|: x11940 >= 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 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11940)))))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 0'(0'(1 + (1 + 0'(1 + (1 + (1 + 1'(0'(1 + 1'(1 + 0'(1 + (1 + 0'(0'(0'(1 + (1 + 0'(1 + 0'(1 + 0'(1'(1'(1 + 0'(0'(0'(0'(1 + 1'(1'(1 + x11943)))))))))))))))))))))))))) :|: x11943 >= 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 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11943)))))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 0'(0'(1 + (1 + 0'(1 + (1 + (1 + 1'(0'(1 + 1'(1 + 0'(1 + (1 + 0'(0'(1 + 1'(0'(0'(0'(1 + 0'(1'(1'(1'(0'(1'(0'(1 + (1 + 1'(1'(1 + (1 + x11942)))))))))))))))))))))))))))) :|: 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 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11942))))))))))))))))))))))))))))))))))), x11942 >= 0
   0'(z) -{ 2 }-> 0'(0'(1 + (1 + 0'(1 + (1 + (1 + 1'(0'(1 + 1'(1 + 0'(1 + (1 + 0'(0'(1 + 1'(0'(1 + (1 + 0'(0'(0'(0'(0'(1'(1 + 1'(0'(1'(1'(1 + 1'(1'(x11946)))))))))))))))))))))))))))) :|: 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 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11946))))))))))))))))))))))))))))))))))), x11946 >= 0
   0'(z) -{ 2 }-> 0'(0'(1 + (1 + 0'(1 + (1 + (1 + 1'(0'(1 + 1'(1 + 0'(1 + (1 + 0'(0'(1 + 1'(1 + (1 + (1 + 1'(0'(0'(1'(0'(0'(0'(1'(1 + 1'(1'(1 + (1 + 1'(x11947)))))))))))))))))))))))))))) :|: 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 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11947))))))))))))))))))))))))))))))))))), x11947 >= 0
   0'(z) -{ 2 }-> 0'(0'(1 + (1 + 0'(1 + (1 + (1 + 1'(0'(1 + 1'(1 + 0'(1 + (1 + 0'(0'(1 + 0'(0'(0'(0'(0'(0'(1'(1 + 0'(1'(1 + (1 + 0'(1'(0'(1'(0'(1'(x11941))))))))))))))))))))))))))))) :|: x11941 >= 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 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11941)))))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 0'(0'(1 + (1 + 0'(1 + (1 + (1 + 1'(0'(1 + 1'(1 + 0'(1 + (1 + 0'(0'(1 + (1 + (1 + 0'(1 + 0'(0'(1 + (1 + 0'(0'(1 + 1'(1'(0'(0'(1 + 1'(1'(x11945))))))))))))))))))))))))))) :|: 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 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11945))))))))))))))))))))))))))))))))))), x11945 >= 0
   0'(z) -{ 2 }-> 0'(0'(1 + (1 + 0'(1 + (1 + (1 + 1'(0'(1 + 1'(1 + 0'(1 + (1 + 0'(0'(1 + (1 + (1 + 0'(1 + (1 + 1'(1'(1 + (1 + (1 + (1 + 0'(1 + 0'(0'(1 + 0'(1 + x11944)))))))))))))))))))))))))) :|: x11944 >= 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 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11944)))))))))))))))))))))))))))))))))))
   0'(z) -{ 1 }-> 0'(0'(1 + (1 + 0'(1 + (1 + (1 + 1'(0'(1 + 1'(1 + 0'(1 + (1 + 0'(0)))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   0'(z) -{ 1 }-> 0'(0'(1 + (1 + 0'(1 + (1 + (1 + 1'(0'(1 + 1'(1 + 0'(1 + (1 + 0'(1 + (1 + (1 + x1)))))))))))))) :|: x1 >= 0, z = 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'(1 + (1 + (1 + 0'(0'(0'(1'(0'(0'(0'(0'(1 + 1'(1 + 1'(1'(1 + 1'(0'(1'(1 + 0'(1'(0'(0'(1'(0'(0'(0'(1 + 1'(0'(0'(1'(0'(0'(1 + x11737)))))))))))))))))))))))))))))))) :|: x11737 >= 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 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11737)))))))))))))))))))))))))))))))))))))
   0'(z) -{ 1 }-> 0'(0'(1 + (1 + (1 + 0'(0'(0'(1'(0'(0'(0'(0'(1 + 1'(1 + 1'(1'(1 + 0))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   0'(z) -{ 1 }-> 0'(0'(1 + (1 + (1 + 0'(0'(0'(1'(0'(0'(0'(0'(1 + 1'(1 + 1'(1'(1 + (1 + x1)))))))))))))))) :|: x1 >= 0, z = 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'(1 + (1 + (1 + (1 + (1 + (1 + 1'(1'(0'(1'(1 + (1 + 0'(1'(1 + 0'(1 + 1'(0'(1'(1 + 0'(1'(0'(0'(1'(0'(0'(0'(1 + 1'(0'(0'(1'(0'(0'(1 + x12802)))))))))))))))))))))))))))))))) :|: 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 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x12802))))))))))))))))))))))))))))))))))))), x12802 >= 0
   0'(z) -{ 1 }-> 0'(0'(1 + (1 + (1 + (1 + (1 + (1 + 1'(1'(0'(1'(1 + (1 + 0'(1'(1 + 0'(1 + 0))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   0'(z) -{ 1 }-> 0'(0'(1 + (1 + (1 + (1 + (1 + (1 + 1'(1'(0'(1'(1 + (1 + 0'(1'(1 + 0'(1 + (1 + x1)))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   0'(z) -{ 1 }-> 0'(1 + 1'(1'(1 + 1'(0'(1 + 0'(1'(1'(0'(1 + 0'(1'(0'(1 + (1 + 0'(1 + x1)))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   0'(z) -{ 1 }-> 0'(1 + 1'(0'(1'(0'(0'(0'(1 + 0'(0'(1'(1 + 0'(1 + 1'(0'(0'(1 + 0'(x1))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   0'(z) -{ 2 }-> 0'(1 + 1'(0'(0'(0'(1 + 0'(1'(1'(1'(0'(1'(0'(1 + (1 + 1'(1'(0'(1'(1 + 0'(1'(0'(0'(1'(0'(0'(0'(1 + 1'(0'(0'(1'(0'(0'(1 + x12638))))))))))))))))))))))))))))))) :|: x12638 >= 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 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x12638)))))))))))))))))))))))))))))))))))
   0'(z) -{ 1 }-> 0'(1 + 1'(0'(0'(0'(1 + 0'(1'(1'(1'(0'(1'(0'(1 + (1 + 1'(0)))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   0'(z) -{ 1 }-> 0'(1 + 1'(0'(0'(0'(1 + 0'(1'(1'(1'(0'(1'(0'(1 + (1 + 1'(1 + (1 + (1 + x1)))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   0'(z) -{ 2 }-> 0'(1 + 1'(0'(1 + 1'(0'(1'(1 + 0'(0'(0'(1'(1 + 0'(0'(0'(0'(0'(1'(0'(1'(1 + 0'(1'(0'(0'(1'(0'(0'(0'(1 + 1'(0'(0'(1'(0'(0'(1 + x12772)))))))))))))))))))))))))))))))) :|: x12772 >= 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 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x12772)))))))))))))))))))))))))))))))))))))
   0'(z) -{ 1 }-> 0'(1 + 1'(0'(1 + 1'(0'(1'(1 + 0'(0'(0'(1'(1 + 0'(0'(0'(0'(0'(0))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   0'(z) -{ 1 }-> 0'(1 + 1'(0'(1 + 1'(0'(1'(1 + 0'(0'(0'(1'(1 + 0'(0'(0'(0'(0'(1 + x1))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   0'(z) -{ 1 }-> 0'(1 + 1'(0'(1 + 1'(0'(1 + 1'(1 + 1'(0'(1'(1 + 0'(1'(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 + x1))))))))))))))))))
   0'(z) -{ 2 }-> 0'(1 + 1'(0'(1 + 0'(0'(1'(1 + (1 + 0'(0'(0'(1'(1'(1'(1'(0'(1'(1'(0'(0'(1'(1'(0'(0'(1 + (1 + 1'(1'(1 + (1 + 0'(0'(0'(1 + 0'(x1653))))))))))))))))))))))))))))))) :|: 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 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1653))))))))))))))))))))))))))))))))))), x1653 >= 0
   0'(z) -{ 2 }-> 0'(1 + 1'(0'(1 + 0'(0'(1'(1 + (1 + 0'(0'(0'(1'(1'(1'(1'(0'(1'(1'(0'(0'(0'(1 + 0'(0'(1'(1'(1'(0'(1'(1'(0'(0'(0'(0'(1 + x1654)))))))))))))))))))))))))))))))) :|: x1654 >= 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 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1654)))))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 0'(1 + 1'(0'(1 + 0'(0'(1'(1 + (1 + 0'(0'(0'(1'(1'(1'(1'(0'(0'(1 + (1 + 0'(1 + 0'(1 + 0'(1'(1'(1 + 0'(0'(0'(0'(1 + 1'(1'(1 + x1657)))))))))))))))))))))))))))) :|: 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 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1657))))))))))))))))))))))))))))))))))), x1657 >= 0
   0'(z) -{ 2 }-> 0'(1 + 1'(0'(1 + 0'(0'(1'(1 + (1 + 0'(0'(0'(1'(1'(1'(1'(0'(1 + 1'(0'(0'(0'(1 + 0'(1'(1'(1'(0'(1'(0'(1 + (1 + 1'(1'(1 + (1 + x1656)))))))))))))))))))))))))))))) :|: 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 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1656))))))))))))))))))))))))))))))))))), x1656 >= 0
   0'(z) -{ 2 }-> 0'(1 + 1'(0'(1 + 0'(0'(1'(1 + (1 + 0'(0'(0'(1'(1'(1'(1'(0'(1 + 1'(0'(1 + (1 + 0'(0'(0'(0'(0'(1'(1 + 1'(0'(1'(1'(1 + 1'(1'(x1660)))))))))))))))))))))))))))))) :|: x1660 >= 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 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1660)))))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 0'(1 + 1'(0'(1 + 0'(0'(1'(1 + (1 + 0'(0'(0'(1'(1'(1'(1'(0'(1 + 1'(1 + (1 + (1 + 1'(0'(0'(1'(0'(0'(0'(1'(1 + 1'(1'(1 + (1 + 1'(x1661)))))))))))))))))))))))))))))) :|: 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 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1661))))))))))))))))))))))))))))))))))), x1661 >= 0
   0'(z) -{ 2 }-> 0'(1 + 1'(0'(1 + 0'(0'(1'(1 + (1 + 0'(0'(0'(1'(1'(1'(1'(0'(1 + 0'(0'(0'(0'(0'(0'(1'(1 + 0'(1'(1 + (1 + 0'(1'(0'(1'(0'(1'(x1655))))))))))))))))))))))))))))))) :|: x1655 >= 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 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1655)))))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 0'(1 + 1'(0'(1 + 0'(0'(1'(1 + (1 + 0'(0'(0'(1'(1'(1'(1'(0'(1 + (1 + (1 + 0'(1 + 0'(0'(1 + (1 + 0'(0'(1 + 1'(1'(0'(0'(1 + 1'(1'(x1659))))))))))))))))))))))))))))) :|: 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 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1659))))))))))))))))))))))))))))))))))), x1659 >= 0
   0'(z) -{ 2 }-> 0'(1 + 1'(0'(1 + 0'(0'(1'(1 + (1 + 0'(0'(0'(1'(1'(1'(1'(0'(1 + (1 + (1 + 0'(1 + (1 + 1'(1'(1 + (1 + (1 + (1 + 0'(1 + 0'(0'(1 + 0'(1 + x1658)))))))))))))))))))))))))))) :|: x1658 >= 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 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1658)))))))))))))))))))))))))))))))))))
   0'(z) -{ 1 }-> 0'(1 + 1'(0'(1 + 0'(0'(1'(1 + (1 + 0'(0'(0'(1'(1'(1'(1'(0)))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   0'(z) -{ 1 }-> 0'(1 + 1'(0'(1 + 0'(0'(1'(1 + (1 + 0'(0'(0'(1'(1'(1'(1'(1 + (1 + (1 + x1)))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   0'(z) -{ 2 }-> 0'(1 + 1'(0'(1 + (1 + 0'(0'(0'(0'(0'(1'(1 + 1'(0'(1'(1'(1 + 1'(1'(0'(1'(1 + 0'(1'(0'(0'(1'(0'(0'(0'(1 + 1'(0'(0'(1'(0'(0'(1 + x12771)))))))))))))))))))))))))))))))) :|: x12771 >= 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 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x12771)))))))))))))))))))))))))))))))))))))
   0'(z) -{ 1 }-> 0'(1 + 1'(0'(1 + (1 + 0'(0'(0'(0'(0'(1'(1 + 1'(0'(1'(1'(1 + 1'(0))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   0'(z) -{ 1 }-> 0'(1 + 1'(0'(1 + (1 + 0'(0'(0'(0'(0'(1'(1 + 1'(0'(1'(1'(1 + 1'(1 + x1))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   0'(z) -{ 1 }-> 0'(1 + 1'(1 + 0'(0'(0'(1 + 0'(0'(1 + 1'(1 + (1 + 0'(1 + (1 + 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 + x1))))))))))))))))))
   0'(z) -{ 2 }-> 0'(1 + 1'(1 + 0'(0'(1 + 1'(1 + (1 + 1'(1 + 1'(1 + 0'(1 + 0'(0'(1 + 1'(0'(1'(1 + 0'(1'(0'(0'(1'(0'(0'(0'(1 + 1'(0'(0'(1'(0'(0'(1 + x11314)))))))))))))))))))))))))))) :|: 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 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11314))))))))))))))))))))))))))))))))))))), x11314 >= 0
   0'(z) -{ 1 }-> 0'(1 + 1'(1 + 0'(0'(1 + 1'(1 + (1 + 1'(1 + 1'(1 + 0'(1 + 0'(0'(1 + 0))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   0'(z) -{ 1 }-> 0'(1 + 1'(1 + 0'(0'(1 + 1'(1 + (1 + 1'(1 + 1'(1 + 0'(1 + 0'(0'(1 + (1 + x1)))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   0'(z) -{ 2 }-> 0'(1 + 1'(1 + (1 + (1 + 1'(0'(0'(1'(0'(0'(0'(1'(1 + 1'(1'(1 + (1 + 1'(0'(1'(1 + 0'(1'(0'(0'(1'(0'(0'(0'(1 + 1'(0'(0'(1'(0'(0'(1 + x13581)))))))))))))))))))))))))))))))) :|: 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 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x13581))))))))))))))))))))))))))))))))))))), x13581 >= 0
   0'(z) -{ 1 }-> 0'(1 + 1'(1 + (1 + (1 + 1'(0'(0'(1'(0'(0'(0'(1'(1 + 1'(1'(1 + (1 + 0))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   0'(z) -{ 1 }-> 0'(1 + 1'(1 + (1 + (1 + 1'(0'(0'(1'(0'(0'(0'(1'(1 + 1'(1'(1 + (1 + (1 + x1)))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   0'(z) -{ 1 }-> 0'(1 + 0'(1'(1'(1'(0'(1'(0'(1'(1 + 0'(1 + (1 + 1'(0'(1 + 0'(0'(1 + x1))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   0'(z) -{ 1 }-> 0'(1 + 0'(1'(1'(0'(1'(1 + (1 + (1 + 0'(0'(1 + (1 + (1 + 0'(1 + 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 + x1))))))))))))))))))
   0'(z) -{ 1 }-> 0'(1 + 0'(1'(1'(0'(1 + 0'(0'(1'(1'(1 + 0'(1'(0'(0'(1'(0'(1 + 0'(x1)))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   0'(z) -{ 1 }-> 0'(1 + 0'(1'(1'(1 + 0'(1'(1 + 1'(1 + 1'(0'(1 + (1 + 0'(1 + 0'(1'(0'(x1)))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   0'(z) -{ 1 }-> 0'(1 + 0'(1'(1'(1 + (1 + (1 + 1'(0'(0'(1 + 1'(0'(0'(0'(0'(1 + 0'(1 + x1))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   0'(z) -{ 1 }-> 0'(1 + 0'(1'(0'(1'(1'(0'(0'(1'(0'(1 + 0'(0'(0'(1 + (1 + 0'(1 + 0'(x1)))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   0'(z) -{ 2 }-> 0'(1 + 0'(1'(1 + 1'(0'(1'(0'(0'(0'(0'(0'(0'(1 + 0'(1'(0'(1 + 1'(0'(1'(1 + 0'(1'(0'(0'(1'(0'(0'(0'(1 + 1'(0'(0'(1'(0'(0'(1 + x12641)))))))))))))))))))))))))))))))) :|: 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 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x12641))))))))))))))))))))))))))))))))))))), x12641 >= 0
   0'(z) -{ 1 }-> 0'(1 + 0'(1'(1 + 1'(0'(1'(0'(0'(0'(0'(0'(0'(1 + 0'(1'(0'(1 + 0))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   0'(z) -{ 1 }-> 0'(1 + 0'(1'(1 + 1'(0'(1'(0'(0'(0'(0'(0'(0'(1 + 0'(1'(0'(1 + (1 + x1)))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   0'(z) -{ 1 }-> 0'(1 + 0'(1'(1 + 0'(1'(1 + 0'(1'(0'(1'(1 + (1 + 1'(1 + 1'(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 + x1))))))))))))))))))
   0'(z) -{ 1 }-> 0'(1 + 0'(0'(1'(1'(1'(0'(1 + 1'(1'(1 + 0'(0'(0'(1 + (1 + 1'(1'(0'(x1)))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   0'(z) -{ 2 }-> 0'(1 + 0'(0'(1'(0'(1'(0'(0'(1 + 0'(0'(1 + 0'(1 + 1'(1'(0'(1'(0'(1'(1 + 0'(1'(0'(0'(1'(0'(0'(0'(1 + 1'(0'(0'(1'(0'(0'(1 + x11837))))))))))))))))))))))))))))))) :|: 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 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11837)))))))))))))))))))))))))))))))))))), x11837 >= 0
   0'(z) -{ 1 }-> 0'(1 + 0'(0'(1'(0'(1'(0'(0'(1 + 0'(0'(1 + 0'(1 + 1'(1'(0'(0)))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   0'(z) -{ 1 }-> 0'(1 + 0'(0'(1'(0'(1'(0'(0'(1 + 0'(0'(1 + 0'(1 + 1'(1'(0'(1 + (1 + x1))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   0'(z) -{ 2 }-> 0'(1 + 0'(0'(0'(1'(1 + 0'(1'(1 + (1 + (1 + 1'(1 + 1'(1'(1'(1 + 1'(0'(1'(1 + 0'(1'(0'(0'(1'(0'(0'(0'(1 + 1'(0'(0'(1'(0'(0'(1 + x12440)))))))))))))))))))))))))))))) :|: 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 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x12440)))))))))))))))))))))))))))))))))))), x12440 >= 0
   0'(z) -{ 1 }-> 0'(1 + 0'(0'(0'(1'(1 + 0'(1'(1 + (1 + (1 + 1'(1 + 1'(1'(1'(1 + 0))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   0'(z) -{ 1 }-> 0'(1 + 0'(0'(0'(1'(1 + 0'(1'(1 + (1 + (1 + 1'(1 + 1'(1'(1'(1 + (1 + (1 + x1))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   0'(z) -{ 2 }-> 0'(1 + 0'(0'(0'(0'(0'(0'(1'(1 + 0'(1'(1 + (1 + 0'(1'(0'(1'(0'(1'(0'(1'(1 + 0'(1'(0'(0'(1'(0'(0'(0'(1 + 1'(0'(0'(1'(0'(0'(1 + x12340))))))))))))))))))))))))))))))))) :|: 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 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x12340))))))))))))))))))))))))))))))))))))), x12340 >= 0
   0'(z) -{ 1 }-> 0'(1 + 0'(0'(0'(0'(0'(0'(1'(1 + 0'(1'(1 + (1 + 0'(1'(0'(1'(0'(0)))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   0'(z) -{ 1 }-> 0'(1 + 0'(0'(0'(0'(0'(0'(1'(1 + 0'(1'(1 + (1 + 0'(1'(0'(1'(0'(1 + x1)))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   0'(z) -{ 2 }-> 0'(1 + 0'(0'(1 + 1'(1'(1 + (1 + 0'(1 + 0'(1'(1 + (1 + (1 + 1'(1'(1'(0'(1'(1 + 0'(1'(0'(0'(1'(0'(0'(0'(1 + 1'(0'(0'(1'(0'(0'(1 + x1327)))))))))))))))))))))))))))))) :|: 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 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1327)))))))))))))))))))))))))))))))))))), x1327 >= 0
   0'(z) -{ 1 }-> 0'(1 + 0'(0'(1 + 1'(1'(1 + (1 + 0'(1 + 0'(1'(1 + (1 + (1 + 1'(1'(0))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   0'(z) -{ 1 }-> 0'(1 + 0'(0'(1 + 1'(1'(1 + (1 + 0'(1 + 0'(1'(1 + (1 + (1 + 1'(1'(1 + (1 + x1)))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   0'(z) -{ 1 }-> 0'(1 + 0'(0'(1 + 0'(1 + (1 + 1'(0'(1'(1'(1'(0'(1 + 0'(1'(1 + 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 + x1))))))))))))))))))
   0'(z) -{ 1 }-> 0'(1 + 0'(0'(1 + (1 + 0'(1 + 1'(1'(1 + 1'(1 + 1'(0'(1 + (1 + 0'(1 + 0'(x1))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   0'(z) -{ 1 }-> 0'(1 + 0'(1 + 1'(0'(0'(1'(1 + (1 + 1'(1 + (1 + 1'(1 + (1 + 1'(1 + (1 + 0'(x1)))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (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 + (1 + 1'(1 + 1'(1'(0'(0'(1 + 0'(1 + 1'(0'(1'(1 + 0'(1'(0'(0'(1'(0'(0'(0'(1 + 1'(0'(0'(1'(0'(0'(1 + x1196)))))))))))))))))))))))))))))) :|: x1196 >= 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 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1196)))))))))))))))))))))))))))))))))))))
   0'(z) -{ 1 }-> 0'(1 + 0'(1 + (1 + 1'(0'(0'(1 + (1 + 1'(1 + 1'(1'(0'(0'(1 + 0'(1 + 0))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (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 + (1 + 1'(1 + 1'(1'(0'(0'(1 + 0'(1 + (1 + x1)))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   0'(z) -{ 2 }-> 0'(1 + 0'(1 + (1 + 0'(0'(1'(1 + 0'(1 + 0'(0'(1'(1'(0'(0'(1 + 1'(1'(0'(1'(1 + 0'(1'(0'(0'(1'(0'(0'(0'(1 + 1'(0'(0'(1'(0'(0'(1 + 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 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1')))))))))))))))))))))))))))))))))))))
   0'(z) -{ 1 }-> 0'(1 + 0'(1 + (1 + 0'(0'(1'(1 + 0'(1 + 0'(0'(1'(1'(0'(0'(1 + 1'(0)))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   0'(z) -{ 1 }-> 0'(1 + 0'(1 + (1 + 0'(0'(1'(1 + 0'(1 + 0'(0'(1'(1'(0'(0'(1 + 1'(1 + x1)))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   0'(z) -{ 1 }-> 0'(1 + 0'(1 + (1 + (1 + (1 + 0'(1 + (1 + 1'(0'(0'(0'(0'(0'(0'(1 + 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 + x1))))))))))))))))))
   0'(z) -{ 1 }-> 0'(1 + (1 + 1'(1'(1'(1 + 1'(0'(1'(1 + 1'(1 + 1'(1'(1 + 1'(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 + x1))))))))))))))))))
   0'(z) -{ 2 }-> 0'(1 + (1 + 1'(0'(1'(0'(1 + (1 + (1 + 1'(1'(1 + 0'(0'(0'(0'(0'(1'(0'(1'(1 + 0'(1'(0'(0'(1'(0'(0'(0'(1 + 1'(0'(0'(1'(0'(0'(1 + x11738)))))))))))))))))))))))))))))))) :|: x11738 >= 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 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11738))))))))))))))))))))))))))))))))))))
   0'(z) -{ 1 }-> 0'(1 + (1 + 1'(0'(1'(0'(1 + (1 + (1 + 1'(1'(1 + 0'(0'(0'(0'(0'(0))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   0'(z) -{ 1 }-> 0'(1 + (1 + 1'(0'(1'(0'(1 + (1 + (1 + 1'(1'(1 + 0'(0'(0'(0'(0'(1 + (1 + x1)))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   0'(z) -{ 2 }-> 0'(1 + (1 + 0'(1'(1 + 0'(1'(0'(0'(0'(0'(1 + 1'(0'(0'(0'(0'(1'(0'(1'(1 + 0'(1'(0'(0'(1'(0'(0'(0'(1 + 1'(0'(0'(1'(0'(0'(1 + x11937)))))))))))))))))))))))))))))))) :|: x11937 >= 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 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11937))))))))))))))))))))))))))))))))))))
   0'(z) -{ 1 }-> 0'(1 + (1 + 0'(1'(1 + 0'(1'(0'(0'(0'(0'(1 + 1'(0'(0'(0'(0'(0))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   0'(z) -{ 1 }-> 0'(1 + (1 + 0'(1'(1 + 0'(1'(0'(0'(0'(0'(1 + 1'(0'(0'(0'(0'(1 + (1 + x1)))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   0'(z) -{ 2 }-> 0'(1 + (1 + 0'(1'(1 + (1 + (1 + (1 + 1'(0'(1 + 1'(1 + 0'(0'(1 + (1 + (1 + 1'(0'(1'(1 + 0'(1'(0'(0'(1'(0'(0'(0'(1 + 1'(0'(0'(1'(0'(0'(1 + x1328))))))))))))))))))))))))))))))) :|: 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 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1328))))))))))))))))))))))))))))))))))))), x1328 >= 0
   0'(z) -{ 1 }-> 0'(1 + (1 + 0'(1'(1 + (1 + (1 + (1 + 1'(0'(1 + 1'(1 + 0'(0'(1 + (1 + (1 + 0)))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   0'(z) -{ 1 }-> 0'(1 + (1 + 0'(1'(1 + (1 + (1 + (1 + 1'(0'(1 + 1'(1 + 0'(0'(1 + (1 + (1 + (1 + x1))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   0'(z) -{ 1 }-> 0'(1 + (1 + 0'(0'(0'(1 + 1'(0'(0'(0'(1'(1'(1 + 0'(1'(1'(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 + x1))))))))))))))))))
   0'(z) -{ 1 }-> 0'(1 + (1 + 0'(1 + 0'(1 + 1'(0'(1 + 0'(0'(1 + (1 + 1'(0'(0'(0'(1 + 0'(x1)))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   0'(z) -{ 1 }-> 0'(1 + (1 + (1 + 1'(0'(0'(1 + 1'(1 + 1'(1 + 1'(1 + 1'(1'(1'(1 + 0'(1 + x1))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   0'(z) -{ 2 }-> 0'(1 + (1 + (1 + 0'(0'(1 + 0'(0'(1 + 0'(1'(1 + 1'(1 + (1 + 1'(1 + 1'(0'(1'(1 + 0'(1'(0'(0'(1'(0'(0'(0'(1 + 1'(0'(0'(1'(0'(0'(1 + x11736))))))))))))))))))))))))))))) :|: 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 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11736)))))))))))))))))))))))))))))))))))), x11736 >= 0
   0'(z) -{ 1 }-> 0'(1 + (1 + (1 + 0'(0'(1 + 0'(0'(1 + 0'(1'(1 + 1'(1 + (1 + 1'(1 + 0)))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   0'(z) -{ 1 }-> 0'(1 + (1 + (1 + 0'(0'(1 + 0'(0'(1 + 0'(1'(1 + 1'(1 + (1 + 1'(1 + (1 + (1 + x1)))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   0'(z) -{ 2 }-> 0'(1 + (1 + (1 + 0'(1 + 0'(0'(1 + (1 + 0'(0'(1 + 1'(1'(0'(0'(1 + 1'(1'(0'(1'(1 + 0'(1'(0'(0'(1'(0'(0'(0'(1 + 1'(0'(0'(1'(0'(0'(1 + x12672))))))))))))))))))))))))))))))) :|: x12672 >= 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 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x12672)))))))))))))))))))))))))))))))))))))
   0'(z) -{ 1 }-> 0'(1 + (1 + (1 + 0'(1 + 0'(0'(1 + (1 + 0'(0'(1 + 1'(1'(0'(0'(1 + 1'(0)))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   0'(z) -{ 1 }-> 0'(1 + (1 + (1 + 0'(1 + 0'(0'(1 + (1 + 0'(0'(1 + 1'(1'(0'(0'(1 + 1'(1 + x1)))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   0'(z) -{ 1 }-> 0'(1 + (1 + (1 + 0'(1 + 0'(1 + 0'(1'(1 + 1'(1 + (1 + (1 + 1'(0'(0'(1'(0'(x1))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   0'(z) -{ 1 }-> 0'(1 + (1 + (1 + 0'(1 + (1 + 1'(1'(1 + (1 + (1 + (1 + 0'(1 + 0'(0'(1 + 0'(1 + x1)))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (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 }-> 1'(0'(1'(1 + 0'(1'(0'(0'(1'(0'(0'(0'(1 + 1'(0'(0'(1'(0'(0'(1 + x1))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (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
   encArg(z) -{ 0 }-> 1'(1'(encArg(x_14))) :|: x_14 >= 0, z = 1 + (1 + x_14)
   encArg(z) -{ 0 }-> 1'(0'(encArg(x_13))) :|: z = 1 + (1 + x_13), x_13 >= 0
   encArg(z) -{ 0 }-> 1'(0) :|: z = 1 + x_1, x_1 >= 0
   encArg(z) -{ 0 }-> 1'(1 + encArg(x_12)) :|: z = 1 + (1 + x_12), x_12 >= 0
   encArg(z) -{ 0 }-> 0'(1'(encArg(x_11))) :|: x_11 >= 0, z = 1 + (1 + x_11)
   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'(1 + encArg(x_1')) :|: z = 1 + (1 + x_1'), x_1' >= 0
   encArg(z) -{ 0 }-> 0 :|: v0 >= 0, z = v0
   encArg(z) -{ 0 }-> 1 + encArg(x_1) :|: z = 1 + x_1, x_1 >= 0
   encode_0(z) -{ 0 }-> 0'(1'(encArg(x_17))) :|: x_17 >= 0, z = 1 + x_17
   encode_0(z) -{ 0 }-> 0'(0'(encArg(x_16))) :|: z = 1 + x_16, x_16 >= 0
   encode_0(z) -{ 0 }-> 0'(0) :|: x_1 >= 0, z = x_1
   encode_0(z) -{ 0 }-> 0'(1 + encArg(x_15)) :|: x_15 >= 0, z = 1 + x_15
   encode_0(z) -{ 0 }-> 0 :|: v0 >= 0, z = v0
   encode_1(z) -{ 0 }-> 1'(1'(encArg(x_110))) :|: z = 1 + x_110, x_110 >= 0
   encode_1(z) -{ 0 }-> 1'(0'(encArg(x_19))) :|: z = 1 + x_19, x_19 >= 0
   encode_1(z) -{ 0 }-> 1'(0) :|: x_1 >= 0, z = x_1
   encode_1(z) -{ 0 }-> 1'(1 + encArg(x_18)) :|: z = 1 + x_18, x_18 >= 0
   encode_1(z) -{ 0 }-> 0 :|: v0 >= 0, z = v0
   encode_2(z) -{ 0 }-> 0 :|: v0 >= 0, z = v0
   encode_2(z) -{ 0 }-> 1 + encArg(x_1) :|: x_1 >= 0, z = x_1


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

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

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

   0'(z) -{ 2 }-> 0'(1'(1'(1'(1'(1 + 1'(0'(0'(1'(1'(0'(1 + 1'(0'(0'(1 + 0'(0'(1'(0'(1'(1 + 0'(1'(0'(0'(1'(0'(0'(0'(1 + 1'(0'(0'(1'(0'(0'(1 + (z - 38)))))))))))))))))))))))))))))))))) :|: z - 38 >= 0
   0'(z) -{ 1 }-> 0'(1'(1'(1'(1'(1 + 1'(0'(0'(1'(1'(0'(1 + 1'(0'(0'(1 + 0'(0'(0)))))))))))))))) :|: z - 19 >= 0
   0'(z) -{ 1 }-> 0'(1'(1'(1'(1'(1 + 1'(0'(0'(1'(1'(0'(1 + 1'(0'(0'(1 + 0'(0'(1 + (z - 19))))))))))))))))) :|: z - 19 >= 0
   0'(z) -{ 2 }-> 0'(1'(1'(1'(0'(1 + 1'(0'(1'(1 + 1'(0'(0'(0'(1 + 1'(1'(1 + 0'(1'(0'(1'(1 + 0'(1'(0'(0'(1'(0'(0'(0'(1 + 1'(0'(0'(1'(0'(0'(1 + (z - 38))))))))))))))))))))))))))))))))) :|: z - 38 >= 0
   0'(z) -{ 1 }-> 0'(1'(1'(1'(0'(1 + 1'(0'(1'(1 + 1'(0'(0'(0'(1 + 1'(1'(1 + 0'(0))))))))))))))) :|: z - 19 >= 0
   0'(z) -{ 1 }-> 0'(1'(1'(1'(0'(1 + 1'(0'(1'(1 + 1'(0'(0'(0'(1 + 1'(1'(1 + 0'(1 + (z - 19)))))))))))))))) :|: z - 19 >= 0
   0'(z) -{ 1 }-> 0'(1'(1'(1'(1 + 1'(1 + (1 + 0'(1'(1'(0'(1 + (1 + 0'(0'(1 + 1'(0'(1 + (z - 19)))))))))))))))) :|: z - 19 >= 0
   0'(z) -{ 1 }-> 0'(1'(1'(0'(0'(1'(1'(0'(0'(1 + (1 + 1'(1'(1 + (1 + 0'(0'(0'(1 + 0'(z - 19))))))))))))))))) :|: z - 19 >= 0
   0'(z) -{ 1 }-> 0'(1'(1'(0'(0'(0'(1 + 0'(0'(1'(1'(1'(0'(1'(1'(0'(0'(0'(0'(1 + (z - 19))))))))))))))))))) :|: z - 19 >= 0
   0'(z) -{ 1 }-> 0'(1'(1'(0'(0'(1 + 0'(0'(1 + 0'(1 + 1'(1'(1'(1'(1'(0'(1 + 0'(1 + (z - 19)))))))))))))))) :|: z - 19 >= 0
   0'(z) -{ 1 }-> 0'(1'(1'(1 + (1 + 0'(0'(1 + 0'(1 + (1 + 0'(0'(1'(0'(0'(0'(0'(0'(0'(z - 19))))))))))))))))) :|: z - 19 >= 0
   0'(z) -{ 1 }-> 0'(1'(0'(1'(1'(1 + 1'(0'(0'(1'(0'(0'(1 + (1 + (1 + 1'(0'(1 + 0'(0'(z - 19))))))))))))))))) :|: z - 19 >= 0
   0'(z) -{ 2 }-> 0'(1'(0'(1'(0'(0'(0'(1'(0'(1 + 1'(1'(0'(0'(1 + 1'(1 + 0'(1 + 1'(0'(1'(1 + 0'(1'(0'(0'(1'(0'(0'(0'(1 + 1'(0'(0'(1'(0'(0'(1 + (z - 38))))))))))))))))))))))))))))))))) :|: z - 38 >= 0
   0'(z) -{ 1 }-> 0'(1'(0'(1'(0'(0'(0'(1'(0'(1 + 1'(1'(0'(0'(1 + 1'(1 + 0'(1 + 0))))))))))))))) :|: z - 19 >= 0
   0'(z) -{ 1 }-> 0'(1'(0'(1'(0'(0'(0'(1'(0'(1 + 1'(1'(0'(0'(1 + 1'(1 + 0'(1 + (1 + (z - 19))))))))))))))))) :|: z - 19 >= 0
   0'(z) -{ 1 }-> 0'(1'(0'(1'(0'(1 + 0'(0'(0'(1'(1'(1'(1 + 0'(0'(0'(0)))))))))))))) :|: z - 19 >= 0
   0'(z) -{ 1 }-> 0'(1'(0'(1'(0'(1 + 0'(0'(0'(1'(1'(1'(1 + 0'(0'(0'(1 + (1 + (1 + (1 + (z - 19)))))))))))))))))) :|: z - 19 >= 0
   0'(z) -{ 2 }-> 0'(1'(0'(1'(1 + (1 + (1 + 1'(1'(0'(1 + (1 + 1'(1 + 0'(0'(0'(0'(1 + 1'(0'(1'(1 + 0'(1'(0'(0'(1'(0'(0'(0'(1 + 1'(0'(0'(1'(0'(0'(1 + (z - 38))))))))))))))))))))))))))))))))) :|: z - 38 >= 0
   0'(z) -{ 1 }-> 0'(1'(0'(1'(1 + (1 + (1 + 1'(1'(0'(1 + (1 + 1'(1 + 0'(0'(0'(0'(1 + 0))))))))))))))) :|: z - 19 >= 0
   0'(z) -{ 1 }-> 0'(1'(0'(1'(1 + (1 + (1 + 1'(1'(0'(1 + (1 + 1'(1 + 0'(0'(0'(0'(1 + (1 + (z - 19))))))))))))))))) :|: z - 19 >= 0
   0'(z) -{ 1 }-> 0'(1'(0'(1'(1 + (1 + (1 + 0'(1 + (1 + 1'(1'(1 + (1 + (1 + 0'(0'(0'(1'(0'(z - 19))))))))))))))))) :|: z - 19 >= 0
   0'(z) -{ 2 }-> 0'(1'(0'(0'(1'(1'(1 + (1 + 0'(1 + (1 + 0'(1 + 0'(0'(0'(1 + (1 + 1'(1'(0'(1'(1 + 0'(1'(0'(0'(1'(0'(0'(0'(1 + 1'(0'(0'(1'(0'(0'(1 + (z - 38))))))))))))))))))))))))))))))))) :|: z - 38 >= 0
   0'(z) -{ 1 }-> 0'(1'(0'(0'(1'(1'(1 + (1 + 0'(1 + (1 + 0'(1 + 0'(0'(0'(1 + (1 + 1'(0))))))))))))))) :|: z - 19 >= 0
   0'(z) -{ 1 }-> 0'(1'(0'(0'(1'(1'(1 + (1 + 0'(1 + (1 + 0'(1 + 0'(0'(0'(1 + (1 + 1'(1 + (z - 19)))))))))))))))) :|: z - 19 >= 0
   0'(z) -{ 1 }-> 0'(1'(0'(0'(1 + 1'(0'(1'(1'(0'(1'(1 + (1 + 0'(1'(1 + 1'(0'(1'(0'(z - 19))))))))))))))))) :|: z - 19 >= 0
   0'(z) -{ 1 }-> 0'(1'(0'(0'(1 + 0'(0'(1'(1 + 1'(1 + 0'(1'(1 + (1 + 1'(0'(1 + 0'(1 + (z - 19))))))))))))))) :|: z - 19 >= 0
   0'(z) -{ 2 }-> 0'(1'(0'(0'(1 + (1 + 1'(1 + 1'(0'(1'(0'(0'(0'(1 + 0'(0'(1 + 1'(0'(1'(1 + 0'(1'(0'(0'(1'(0'(0'(0'(1 + 1'(0'(0'(1'(0'(0'(1 + (z - 37)))))))))))))))))))))))))))))))) :|: z - 37 >= 0
   0'(z) -{ 1 }-> 0'(1'(0'(0'(1 + (1 + 1'(1 + 1'(0'(1'(0'(0'(0'(1 + 0'(0'(1 + 0)))))))))))))) :|: z - 19 >= 0
   0'(z) -{ 1 }-> 0'(1'(0'(0'(1 + (1 + 1'(1 + 1'(0'(1'(0'(0'(0'(1 + 0'(0'(1 + (1 + (1 + (z - 19))))))))))))))))) :|: z - 19 >= 0
   0'(z) -{ 2 }-> 0'(1'(0'(0'(1 + (1 + 0'(0'(1 + (1 + 0'(1 + 0'(0'(1'(1 + 1'(0'(1'(0'(1'(1 + 0'(1'(0'(0'(1'(0'(0'(0'(1 + 1'(0'(0'(1'(0'(0'(1 + (z - 37)))))))))))))))))))))))))))))))) :|: z - 37 >= 0
   0'(z) -{ 1 }-> 0'(1'(0'(0'(1 + (1 + 0'(0'(1 + (1 + 0'(1 + 0'(0'(1'(1 + 1'(0'(0)))))))))))))) :|: z - 19 >= 0
   0'(z) -{ 1 }-> 0'(1'(0'(0'(1 + (1 + 0'(0'(1 + (1 + 0'(1 + 0'(0'(1'(1 + 1'(0'(1 + (1 + (z - 19)))))))))))))))) :|: z - 19 >= 0
   0'(z) -{ 1 }-> 0'(1'(0'(1 + 1'(1 + 1'(1'(0'(0'(1 + (1 + (1 + 0'(0'(1'(1 + (1 + 0'(0'(z - 19)))))))))))))))) :|: z - 19 >= 0
   0'(z) -{ 2 }-> 0'(1'(0'(1 + 0'(1 + (1 + 1'(0'(1'(0'(1 + 1'(1 + 1'(0'(1'(1'(1'(0'(1'(1 + 0'(1'(0'(0'(1'(0'(0'(0'(1 + 1'(0'(0'(1'(0'(0'(1 + (z - 37)))))))))))))))))))))))))))))))) :|: z - 37 >= 0
   0'(z) -{ 1 }-> 0'(1'(0'(1 + 0'(1 + (1 + 1'(0'(1'(0'(1 + 1'(1 + 1'(0'(1'(1'(0)))))))))))))) :|: z - 19 >= 0
   0'(z) -{ 1 }-> 0'(1'(0'(1 + 0'(1 + (1 + 1'(0'(1'(0'(1 + 1'(1 + 1'(0'(1'(1'(1 + (1 + (z - 19)))))))))))))))) :|: z - 19 >= 0
   0'(z) -{ 2 }-> 0'(1'(1 + 1'(1'(0'(1'(1'(1 + 1'(1 + 0'(1'(0'(1'(1 + (1 + 0'(1'(1'(0'(0'(1'(1'(0'(0'(1 + (1 + 1'(1'(1 + (1 + 0'(0'(0'(1 + 0'(z - 36)))))))))))))))))))))))))))))) :|: z - 36 >= 0
   0'(z) -{ 2 }-> 0'(1'(1 + 1'(1'(0'(1'(1'(1 + 1'(1 + 0'(1'(0'(1'(1 + (1 + 0'(1'(1'(0'(0'(0'(1 + 0'(0'(1'(1'(1'(0'(1'(1'(0'(0'(0'(0'(1 + (z - 36)))))))))))))))))))))))))))))))) :|: z - 36 >= 0
   0'(z) -{ 2 }-> 0'(1'(1 + 1'(1'(0'(1'(1'(1 + 1'(1 + 0'(1'(0'(1'(1 + (1 + 0'(0'(1 + (1 + 0'(1 + 0'(1 + 0'(1'(1'(1 + 0'(0'(0'(0'(1 + 1'(1'(1 + (z - 36)))))))))))))))))))))))))))) :|: z - 36 >= 0
   0'(z) -{ 2 }-> 0'(1'(1 + 1'(1'(0'(1'(1'(1 + 1'(1 + 0'(1'(0'(1'(1 + (1 + 0'(1 + 1'(0'(0'(0'(1 + 0'(1'(1'(1'(0'(1'(0'(1 + (1 + 1'(1'(1 + (1 + (z - 36)))))))))))))))))))))))))))))) :|: z - 36 >= 0
   0'(z) -{ 2 }-> 0'(1'(1 + 1'(1'(0'(1'(1'(1 + 1'(1 + 0'(1'(0'(1'(1 + (1 + 0'(1 + 1'(0'(1 + (1 + 0'(0'(0'(0'(0'(1'(1 + 1'(0'(1'(1'(1 + 1'(1'(z - 36))))))))))))))))))))))))))))) :|: z - 36 >= 0
   0'(z) -{ 2 }-> 0'(1'(1 + 1'(1'(0'(1'(1'(1 + 1'(1 + 0'(1'(0'(1'(1 + (1 + 0'(1 + 1'(1 + (1 + (1 + 1'(0'(0'(1'(0'(0'(0'(1'(1 + 1'(1'(1 + (1 + 1'(z - 36))))))))))))))))))))))))))))) :|: z - 36 >= 0
   0'(z) -{ 2 }-> 0'(1'(1 + 1'(1'(0'(1'(1'(1 + 1'(1 + 0'(1'(0'(1'(1 + (1 + 0'(1 + 0'(0'(0'(0'(0'(0'(1'(1 + 0'(1'(1 + (1 + 0'(1'(0'(1'(0'(1'(z - 36)))))))))))))))))))))))))))))) :|: z - 36 >= 0
   0'(z) -{ 2 }-> 0'(1'(1 + 1'(1'(0'(1'(1'(1 + 1'(1 + 0'(1'(0'(1'(1 + (1 + 0'(1 + (1 + (1 + 0'(1 + 0'(0'(1 + (1 + 0'(0'(1 + 1'(1'(0'(0'(1 + 1'(1'(z - 36)))))))))))))))))))))))))))) :|: z - 36 >= 0
   0'(z) -{ 2 }-> 0'(1'(1 + 1'(1'(0'(1'(1'(1 + 1'(1 + 0'(1'(0'(1'(1 + (1 + 0'(1 + (1 + (1 + 0'(1 + (1 + 1'(1'(1 + (1 + (1 + (1 + 0'(1 + 0'(0'(1 + 0'(1 + (z - 36)))))))))))))))))))))))))))) :|: z - 36 >= 0
   0'(z) -{ 1 }-> 0'(1'(1 + 1'(1'(0'(1'(1'(1 + 1'(1 + 0'(1'(0'(1'(1 + (1 + 0))))))))))))) :|: z - 19 >= 0
   0'(z) -{ 1 }-> 0'(1'(1 + 1'(1'(0'(1'(1'(1 + 1'(1 + 0'(1'(0'(1'(1 + (1 + (1 + (1 + (1 + (z - 19))))))))))))))))) :|: z - 19 >= 0
   0'(z) -{ 2 }-> 0'(1'(1 + 1'(0'(1 + 1'(0'(1'(1 + (1 + (1 + 0'(0'(1 + 0'(1 + (1 + 1'(0'(1'(1 + 0'(1'(0'(0'(1'(0'(0'(0'(1 + 1'(0'(0'(1'(0'(0'(1 + (z - 37))))))))))))))))))))))))))))))) :|: z - 37 >= 0
   0'(z) -{ 1 }-> 0'(1'(1 + 1'(0'(1 + 1'(0'(1'(1 + (1 + (1 + 0'(0'(1 + 0'(1 + (1 + 0))))))))))))) :|: z - 19 >= 0
   0'(z) -{ 1 }-> 0'(1'(1 + 1'(0'(1 + 1'(0'(1'(1 + (1 + (1 + 0'(0'(1 + 0'(1 + (1 + (1 + (1 + (z - 19)))))))))))))))) :|: z - 19 >= 0
   0'(z) -{ 1 }-> 0'(1'(1 + 0'(1'(1 + 1'(0'(1'(0'(1'(0'(1 + 0'(1'(1'(1'(1'(0'(1 + (z - 19))))))))))))))))) :|: z - 19 >= 0
   0'(z) -{ 2 }-> 0'(1'(1 + 0'(0'(0'(1 + 1'(1 + 0'(1'(1 + (1 + (1 + (1 + 0'(1'(1'(0'(1'(0'(1'(1 + 0'(1'(0'(0'(1'(0'(0'(0'(1 + 1'(0'(0'(1'(0'(0'(1 + (z - 38))))))))))))))))))))))))))))))))) :|: z - 38 >= 0
   0'(z) -{ 1 }-> 0'(1'(1 + 0'(0'(0'(1 + 1'(1 + 0'(1'(1 + (1 + (1 + (1 + 0'(1'(1'(0'(0))))))))))))))) :|: z - 19 >= 0
   0'(z) -{ 1 }-> 0'(1'(1 + 0'(0'(0'(1 + 1'(1 + 0'(1'(1 + (1 + (1 + (1 + 0'(1'(1'(0'(1 + (z - 19)))))))))))))))) :|: z - 19 >= 0
   0'(z) -{ 1 }-> 0'(1'(1 + 0'(0'(1 + (1 + 0'(0'(0'(0'(1 + 1'(1 + 1'(0'(1'(1 + 0'(1 + (z - 19))))))))))))))) :|: z - 19 >= 0
   0'(z) -{ 2 }-> 0'(1'(1 + 0'(1 + 0'(1'(0'(1'(1 + 1'(0'(0'(1 + (1 + 1'(0'(1'(0'(1'(0'(1'(1 + 0'(1'(0'(0'(1'(0'(0'(0'(1 + 1'(0'(0'(1'(0'(0'(1 + (z - 38))))))))))))))))))))))))))))))))) :|: z - 38 >= 0
   0'(z) -{ 1 }-> 0'(1'(1 + 0'(1 + 0'(1'(0'(1'(1 + 1'(0'(0'(1 + (1 + 1'(0'(1'(0'(0))))))))))))))) :|: z - 19 >= 0
   0'(z) -{ 1 }-> 0'(1'(1 + 0'(1 + 0'(1'(0'(1'(1 + 1'(0'(0'(1 + (1 + 1'(0'(1'(0'(1 + (z - 19)))))))))))))))) :|: z - 19 >= 0
   0'(z) -{ 2 }-> 0'(1'(1 + 0'(1 + (1 + 1'(1'(1'(0'(1'(0'(1 + 1'(1 + 1'(1 + 1'(1 + 1'(0'(1'(1 + 0'(1'(0'(0'(1'(0'(0'(0'(1 + 1'(0'(0'(1'(0'(0'(1 + (z - 38))))))))))))))))))))))))))))))) :|: z - 38 >= 0
   0'(z) -{ 1 }-> 0'(1'(1 + 0'(1 + (1 + 1'(1'(1'(0'(1'(0'(1 + 1'(1 + 1'(1 + 1'(1 + 0))))))))))))) :|: z - 19 >= 0
   0'(z) -{ 1 }-> 0'(1'(1 + 0'(1 + (1 + 1'(1'(1'(0'(1'(0'(1 + 1'(1 + 1'(1 + 1'(1 + (1 + (z - 19))))))))))))))) :|: z - 19 >= 0
   0'(z) -{ 1 }-> 0'(1'(1 + (1 + 0'(1'(1'(1'(1 + 0'(1 + 0'(0'(1'(1 + 0'(1 + 1'(1 + 0'(z - 19)))))))))))))) :|: z - 19 >= 0
   0'(z) -{ 2 }-> 0'(1'(1 + (1 + 0'(1 + (1 + (1 + 1'(0'(1'(1 + (1 + 1'(0'(0'(1'(1'(1'(0'(1'(1 + 0'(1'(0'(0'(1'(0'(0'(0'(1 + 1'(0'(0'(1'(0'(0'(1 + (z - 37))))))))))))))))))))))))))))))))) :|: z - 37 >= 0
   0'(z) -{ 1 }-> 0'(1'(1 + (1 + 0'(1 + (1 + (1 + 1'(0'(1'(1 + (1 + 1'(0'(0'(1'(1'(0))))))))))))))) :|: z - 19 >= 0
   0'(z) -{ 1 }-> 0'(1'(1 + (1 + 0'(1 + (1 + (1 + 1'(0'(1'(1 + (1 + 1'(0'(0'(1'(1'(1 + (1 + (z - 19))))))))))))))))) :|: z - 19 >= 0
   0'(z) -{ 2 }-> 0'(0'(1'(1'(1'(0'(1'(0'(0'(0'(1 + (1 + 1'(1'(1 + 0'(0'(1 + 1'(0'(1'(1 + 0'(1'(0'(0'(1'(0'(0'(0'(1 + 1'(0'(0'(1'(0'(0'(1 + (z - 37))))))))))))))))))))))))))))))))) :|: z - 37 >= 0
   0'(z) -{ 1 }-> 0'(0'(1'(1'(1'(0'(1'(0'(0'(0'(1 + (1 + 1'(1'(1 + 0'(0'(1 + 0))))))))))))))) :|: z - 19 >= 0
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   0'(z) -{ 2 }-> 0'(1 + 1'(0'(1 + (1 + 0'(0'(0'(0'(0'(1'(1 + 1'(0'(1'(1'(1 + 1'(1'(0'(1'(1 + 0'(1'(0'(0'(1'(0'(0'(0'(1 + 1'(0'(0'(1'(0'(0'(1 + (z - 38))))))))))))))))))))))))))))))))) :|: z - 38 >= 0
   0'(z) -{ 1 }-> 0'(1 + 1'(0'(1 + (1 + 0'(0'(0'(0'(0'(1'(1 + 1'(0'(1'(1'(1 + 1'(0))))))))))))))) :|: z - 19 >= 0
   0'(z) -{ 1 }-> 0'(1 + 1'(0'(1 + (1 + 0'(0'(0'(0'(0'(1'(1 + 1'(0'(1'(1'(1 + 1'(1 + (z - 19)))))))))))))))) :|: z - 19 >= 0
   0'(z) -{ 1 }-> 0'(1 + 1'(1 + 0'(0'(0'(1 + 0'(0'(1 + 1'(1 + (1 + 0'(1 + (1 + 0'(0'(0'(z - 19)))))))))))))) :|: z - 19 >= 0
   0'(z) -{ 2 }-> 0'(1 + 1'(1 + 0'(0'(1 + 1'(1 + (1 + 1'(1 + 1'(1 + 0'(1 + 0'(0'(1 + 1'(0'(1'(1 + 0'(1'(0'(0'(1'(0'(0'(0'(1 + 1'(0'(0'(1'(0'(0'(1 + (z - 38))))))))))))))))))))))))))))) :|: z - 38 >= 0
   0'(z) -{ 1 }-> 0'(1 + 1'(1 + 0'(0'(1 + 1'(1 + (1 + 1'(1 + 1'(1 + 0'(1 + 0'(0'(1 + 0))))))))))) :|: z - 19 >= 0
   0'(z) -{ 1 }-> 0'(1 + 1'(1 + 0'(0'(1 + 1'(1 + (1 + 1'(1 + 1'(1 + 0'(1 + 0'(0'(1 + (1 + (z - 19))))))))))))) :|: z - 19 >= 0
   0'(z) -{ 2 }-> 0'(1 + 1'(1 + (1 + (1 + 1'(0'(0'(1'(0'(0'(0'(1'(1 + 1'(1'(1 + (1 + 1'(0'(1'(1 + 0'(1'(0'(0'(1'(0'(0'(0'(1 + 1'(0'(0'(1'(0'(0'(1 + (z - 38))))))))))))))))))))))))))))))))) :|: z - 38 >= 0
   0'(z) -{ 1 }-> 0'(1 + 1'(1 + (1 + (1 + 1'(0'(0'(1'(0'(0'(0'(1'(1 + 1'(1'(1 + (1 + 0))))))))))))))) :|: z - 19 >= 0
   0'(z) -{ 1 }-> 0'(1 + 1'(1 + (1 + (1 + 1'(0'(0'(1'(0'(0'(0'(1'(1 + 1'(1'(1 + (1 + (1 + (z - 19))))))))))))))))) :|: z - 19 >= 0
   0'(z) -{ 1 }-> 0'(1 + 0'(1'(1'(1'(0'(1'(0'(1'(1 + 0'(1 + (1 + 1'(0'(1 + 0'(0'(1 + (z - 19)))))))))))))))) :|: z - 19 >= 0
   0'(z) -{ 1 }-> 0'(1 + 0'(1'(1'(0'(1'(1 + (1 + (1 + 0'(0'(1 + (1 + (1 + 0'(1 + 0'(0'(0'(z - 19)))))))))))))))) :|: z - 19 >= 0
   0'(z) -{ 1 }-> 0'(1 + 0'(1'(1'(0'(1 + 0'(0'(1'(1'(1 + 0'(1'(0'(0'(1'(0'(1 + 0'(z - 19)))))))))))))))) :|: z - 19 >= 0
   0'(z) -{ 1 }-> 0'(1 + 0'(1'(1'(1 + 0'(1'(1 + 1'(1 + 1'(0'(1 + (1 + 0'(1 + 0'(1'(0'(z - 19)))))))))))))) :|: z - 19 >= 0
   0'(z) -{ 1 }-> 0'(1 + 0'(1'(1'(1 + (1 + (1 + 1'(0'(0'(1 + 1'(0'(0'(0'(0'(1 + 0'(1 + (z - 19)))))))))))))))) :|: z - 19 >= 0
   0'(z) -{ 1 }-> 0'(1 + 0'(1'(0'(1'(1'(0'(0'(1'(0'(1 + 0'(0'(0'(1 + (1 + 0'(1 + 0'(z - 19)))))))))))))))) :|: z - 19 >= 0
   0'(z) -{ 2 }-> 0'(1 + 0'(1'(1 + 1'(0'(1'(0'(0'(0'(0'(0'(0'(1 + 0'(1'(0'(1 + 1'(0'(1'(1 + 0'(1'(0'(0'(1'(0'(0'(0'(1 + 1'(0'(0'(1'(0'(0'(1 + (z - 38))))))))))))))))))))))))))))))))) :|: z - 38 >= 0
   0'(z) -{ 1 }-> 0'(1 + 0'(1'(1 + 1'(0'(1'(0'(0'(0'(0'(0'(0'(1 + 0'(1'(0'(1 + 0))))))))))))))) :|: z - 19 >= 0
   0'(z) -{ 1 }-> 0'(1 + 0'(1'(1 + 1'(0'(1'(0'(0'(0'(0'(0'(0'(1 + 0'(1'(0'(1 + (1 + (z - 19))))))))))))))))) :|: z - 19 >= 0
   0'(z) -{ 1 }-> 0'(1 + 0'(1'(1 + 0'(1'(1 + 0'(1'(0'(1'(1 + (1 + 1'(1 + 1'(0'(0'(0'(z - 19))))))))))))))) :|: z - 19 >= 0
   0'(z) -{ 1 }-> 0'(1 + 0'(0'(1'(1'(1'(0'(1 + 1'(1'(1 + 0'(0'(0'(1 + (1 + 1'(1'(0'(z - 19)))))))))))))))) :|: z - 19 >= 0
   0'(z) -{ 2 }-> 0'(1 + 0'(0'(1'(0'(1'(0'(0'(1 + 0'(0'(1 + 0'(1 + 1'(1'(0'(1'(0'(1'(1 + 0'(1'(0'(0'(1'(0'(0'(0'(1 + 1'(0'(0'(1'(0'(0'(1 + (z - 37)))))))))))))))))))))))))))))))) :|: z - 37 >= 0
   0'(z) -{ 1 }-> 0'(1 + 0'(0'(1'(0'(1'(0'(0'(1 + 0'(0'(1 + 0'(1 + 1'(1'(0'(0)))))))))))))) :|: z - 19 >= 0
   0'(z) -{ 1 }-> 0'(1 + 0'(0'(1'(0'(1'(0'(0'(1 + 0'(0'(1 + 0'(1 + 1'(1'(0'(1 + (1 + (z - 19)))))))))))))))) :|: z - 19 >= 0
   0'(z) -{ 2 }-> 0'(1 + 0'(0'(0'(1'(1 + 0'(1'(1 + (1 + (1 + 1'(1 + 1'(1'(1'(1 + 1'(0'(1'(1 + 0'(1'(0'(0'(1'(0'(0'(0'(1 + 1'(0'(0'(1'(0'(0'(1 + (z - 37))))))))))))))))))))))))))))))) :|: z - 37 >= 0
   0'(z) -{ 1 }-> 0'(1 + 0'(0'(0'(1'(1 + 0'(1'(1 + (1 + (1 + 1'(1 + 1'(1'(1'(1 + 0))))))))))))) :|: z - 19 >= 0
   0'(z) -{ 1 }-> 0'(1 + 0'(0'(0'(1'(1 + 0'(1'(1 + (1 + (1 + 1'(1 + 1'(1'(1'(1 + (1 + (1 + (z - 19)))))))))))))))) :|: z - 19 >= 0
   0'(z) -{ 2 }-> 0'(1 + 0'(0'(0'(0'(0'(0'(1'(1 + 0'(1'(1 + (1 + 0'(1'(0'(1'(0'(1'(0'(1'(1 + 0'(1'(0'(0'(1'(0'(0'(0'(1 + 1'(0'(0'(1'(0'(0'(1 + (z - 38)))))))))))))))))))))))))))))))))) :|: z - 38 >= 0
   0'(z) -{ 1 }-> 0'(1 + 0'(0'(0'(0'(0'(0'(1'(1 + 0'(1'(1 + (1 + 0'(1'(0'(1'(0'(0)))))))))))))))) :|: z - 19 >= 0
   0'(z) -{ 1 }-> 0'(1 + 0'(0'(0'(0'(0'(0'(1'(1 + 0'(1'(1 + (1 + 0'(1'(0'(1'(0'(1 + (z - 19))))))))))))))))) :|: z - 19 >= 0
   0'(z) -{ 2 }-> 0'(1 + 0'(0'(1 + 1'(1'(1 + (1 + 0'(1 + 0'(1'(1 + (1 + (1 + 1'(1'(1'(0'(1'(1 + 0'(1'(0'(0'(1'(0'(0'(0'(1 + 1'(0'(0'(1'(0'(0'(1 + (z - 37))))))))))))))))))))))))))))))) :|: z - 37 >= 0
   0'(z) -{ 1 }-> 0'(1 + 0'(0'(1 + 1'(1'(1 + (1 + 0'(1 + 0'(1'(1 + (1 + (1 + 1'(1'(0))))))))))))) :|: z - 19 >= 0
   0'(z) -{ 1 }-> 0'(1 + 0'(0'(1 + 1'(1'(1 + (1 + 0'(1 + 0'(1'(1 + (1 + (1 + 1'(1'(1 + (1 + (z - 19))))))))))))))) :|: z - 19 >= 0
   0'(z) -{ 1 }-> 0'(1 + 0'(0'(1 + 0'(1 + (1 + 1'(0'(1'(1'(1'(0'(1 + 0'(1'(1 + 0'(0'(z - 19))))))))))))))) :|: z - 19 >= 0
   0'(z) -{ 1 }-> 0'(1 + 0'(0'(1 + (1 + 0'(1 + 1'(1'(1 + 1'(1 + 1'(0'(1 + (1 + 0'(1 + 0'(z - 19))))))))))))) :|: z - 19 >= 0
   0'(z) -{ 1 }-> 0'(1 + 0'(1 + 1'(0'(0'(1'(1 + (1 + 1'(1 + (1 + 1'(1 + (1 + 1'(1 + (1 + 0'(z - 19)))))))))))))) :|: z - 19 >= 0
   0'(z) -{ 2 }-> 0'(1 + 0'(1 + (1 + 1'(0'(0'(1 + (1 + 1'(1 + 1'(1'(0'(0'(1 + 0'(1 + 1'(0'(1'(1 + 0'(1'(0'(0'(1'(0'(0'(0'(1 + 1'(0'(0'(1'(0'(0'(1 + (z - 38))))))))))))))))))))))))))))))) :|: z - 38 >= 0
   0'(z) -{ 1 }-> 0'(1 + 0'(1 + (1 + 1'(0'(0'(1 + (1 + 1'(1 + 1'(1'(0'(0'(1 + 0'(1 + 0))))))))))))) :|: z - 19 >= 0
   0'(z) -{ 1 }-> 0'(1 + 0'(1 + (1 + 1'(0'(0'(1 + (1 + 1'(1 + 1'(1'(0'(0'(1 + 0'(1 + (1 + (z - 19))))))))))))))) :|: z - 19 >= 0
   0'(z) -{ 2 }-> 0'(1 + 0'(1 + (1 + 0'(0'(1'(1 + 0'(1 + 0'(0'(1'(1'(0'(0'(1 + 1'(1'(0'(1'(1 + 0'(1'(0'(0'(1'(0'(0'(0'(1 + 1'(0'(0'(1'(0'(0'(1 + (z - 38)))))))))))))))))))))))))))))))) :|: z - 38 >= 0
   0'(z) -{ 1 }-> 0'(1 + 0'(1 + (1 + 0'(0'(1'(1 + 0'(1 + 0'(0'(1'(1'(0'(0'(1 + 1'(0)))))))))))))) :|: z - 19 >= 0
   0'(z) -{ 1 }-> 0'(1 + 0'(1 + (1 + 0'(0'(1'(1 + 0'(1 + 0'(0'(1'(1'(0'(0'(1 + 1'(1 + (z - 19))))))))))))))) :|: z - 19 >= 0
   0'(z) -{ 1 }-> 0'(1 + 0'(1 + (1 + (1 + (1 + 0'(1 + (1 + 1'(0'(0'(0'(0'(0'(0'(1 + 0'(0'(z - 19)))))))))))))))) :|: z - 19 >= 0
   0'(z) -{ 1 }-> 0'(1 + (1 + 1'(1'(1'(1 + 1'(0'(1'(1 + 1'(1 + 1'(1'(1 + 1'(0'(0'(0'(z - 19))))))))))))))) :|: z - 19 >= 0
   0'(z) -{ 2 }-> 0'(1 + (1 + 1'(0'(1'(0'(1 + (1 + (1 + 1'(1'(1 + 0'(0'(0'(0'(0'(1'(0'(1'(1 + 0'(1'(0'(0'(1'(0'(0'(0'(1 + 1'(0'(0'(1'(0'(0'(1 + (z - 37))))))))))))))))))))))))))))))))) :|: z - 37 >= 0
   0'(z) -{ 1 }-> 0'(1 + (1 + 1'(0'(1'(0'(1 + (1 + (1 + 1'(1'(1 + 0'(0'(0'(0'(0'(0))))))))))))))) :|: z - 19 >= 0
   0'(z) -{ 1 }-> 0'(1 + (1 + 1'(0'(1'(0'(1 + (1 + (1 + 1'(1'(1 + 0'(0'(0'(0'(0'(1 + (1 + (z - 19))))))))))))))))) :|: z - 19 >= 0
   0'(z) -{ 2 }-> 0'(1 + (1 + 0'(1'(1 + 0'(1'(0'(0'(0'(0'(1 + 1'(0'(0'(0'(0'(1'(0'(1'(1 + 0'(1'(0'(0'(1'(0'(0'(0'(1 + 1'(0'(0'(1'(0'(0'(1 + (z - 37))))))))))))))))))))))))))))))))) :|: z - 37 >= 0
   0'(z) -{ 1 }-> 0'(1 + (1 + 0'(1'(1 + 0'(1'(0'(0'(0'(0'(1 + 1'(0'(0'(0'(0'(0))))))))))))))) :|: z - 19 >= 0
   0'(z) -{ 1 }-> 0'(1 + (1 + 0'(1'(1 + 0'(1'(0'(0'(0'(0'(1 + 1'(0'(0'(0'(0'(1 + (1 + (z - 19))))))))))))))))) :|: z - 19 >= 0
   0'(z) -{ 2 }-> 0'(1 + (1 + 0'(1'(1 + (1 + (1 + (1 + 1'(0'(1 + 1'(1 + 0'(0'(1 + (1 + (1 + 1'(0'(1'(1 + 0'(1'(0'(0'(1'(0'(0'(0'(1 + 1'(0'(0'(1'(0'(0'(1 + (z - 38)))))))))))))))))))))))))))))))) :|: z - 38 >= 0
   0'(z) -{ 1 }-> 0'(1 + (1 + 0'(1'(1 + (1 + (1 + (1 + 1'(0'(1 + 1'(1 + 0'(0'(1 + (1 + (1 + 0)))))))))))))) :|: z - 19 >= 0
   0'(z) -{ 1 }-> 0'(1 + (1 + 0'(1'(1 + (1 + (1 + (1 + 1'(0'(1 + 1'(1 + 0'(0'(1 + (1 + (1 + (1 + (z - 19)))))))))))))))) :|: z - 19 >= 0
   0'(z) -{ 1 }-> 0'(1 + (1 + 0'(0'(0'(1 + 1'(0'(0'(0'(1'(1'(1 + 0'(1'(1'(0'(0'(0'(z - 19))))))))))))))))) :|: z - 19 >= 0
   0'(z) -{ 1 }-> 0'(1 + (1 + 0'(1 + 0'(1 + 1'(0'(1 + 0'(0'(1 + (1 + 1'(0'(0'(0'(1 + 0'(z - 19)))))))))))))) :|: z - 19 >= 0
   0'(z) -{ 1 }-> 0'(1 + (1 + (1 + 1'(0'(0'(1 + 1'(1 + 1'(1 + 1'(1 + 1'(1'(1'(1 + 0'(1 + (z - 19)))))))))))))) :|: z - 19 >= 0
   0'(z) -{ 2 }-> 0'(1 + (1 + (1 + 0'(0'(1 + 0'(0'(1 + 0'(1'(1 + 1'(1 + (1 + 1'(1 + 1'(0'(1'(1 + 0'(1'(0'(0'(1'(0'(0'(0'(1 + 1'(0'(0'(1'(0'(0'(1 + (z - 37)))))))))))))))))))))))))))))) :|: z - 37 >= 0
   0'(z) -{ 1 }-> 0'(1 + (1 + (1 + 0'(0'(1 + 0'(0'(1 + 0'(1'(1 + 1'(1 + (1 + 1'(1 + 0)))))))))))) :|: z - 19 >= 0
   0'(z) -{ 1 }-> 0'(1 + (1 + (1 + 0'(0'(1 + 0'(0'(1 + 0'(1'(1 + 1'(1 + (1 + 1'(1 + (1 + (1 + (z - 19))))))))))))))) :|: z - 19 >= 0
   0'(z) -{ 2 }-> 0'(1 + (1 + (1 + 0'(1 + 0'(0'(1 + (1 + 0'(0'(1 + 1'(1'(0'(0'(1 + 1'(1'(0'(1'(1 + 0'(1'(0'(0'(1'(0'(0'(0'(1 + 1'(0'(0'(1'(0'(0'(1 + (z - 38)))))))))))))))))))))))))))))))) :|: z - 38 >= 0
   0'(z) -{ 1 }-> 0'(1 + (1 + (1 + 0'(1 + 0'(0'(1 + (1 + 0'(0'(1 + 1'(1'(0'(0'(1 + 1'(0)))))))))))))) :|: z - 19 >= 0
   0'(z) -{ 1 }-> 0'(1 + (1 + (1 + 0'(1 + 0'(0'(1 + (1 + 0'(0'(1 + 1'(1'(0'(0'(1 + 1'(1 + (z - 19))))))))))))))) :|: z - 19 >= 0
   0'(z) -{ 1 }-> 0'(1 + (1 + (1 + 0'(1 + 0'(1 + 0'(1'(1 + 1'(1 + (1 + (1 + 1'(0'(0'(1'(0'(z - 19))))))))))))))) :|: z - 19 >= 0
   0'(z) -{ 1 }-> 0'(1 + (1 + (1 + 0'(1 + (1 + 1'(1'(1 + (1 + (1 + (1 + 0'(1 + 0'(0'(1 + 0'(1 + (z - 19))))))))))))))) :|: z - 19 >= 0
   0'(z) -{ 0 }-> 0 :|: z >= 0
   0'(z) -{ 0 }-> 1 + z :|: z >= 0
   1'(z) -{ 1 }-> 1'(0'(1'(1 + 0'(1'(0'(0'(1'(0'(0'(0'(1 + 1'(0'(0'(1'(0'(0'(1 + (z - 19)))))))))))))))))) :|: z - 19 >= 0
   1'(z) -{ 0 }-> 0 :|: z >= 0
   1'(z) -{ 0 }-> 1 + z :|: z >= 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 }-> 1'(1 + 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'(1 + encArg(z - 2)) :|: z - 2 >= 0
   encArg(z) -{ 0 }-> 0 :|: z >= 0
   encArg(z) -{ 0 }-> 1 + 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'(1 + encArg(z - 1)) :|: z - 1 >= 0
   encode_0(z) -{ 0 }-> 0 :|: z >= 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 }-> 1'(1 + encArg(z - 1)) :|: z - 1 >= 0
   encode_1(z) -{ 0 }-> 0 :|: z >= 0
   encode_2(z) -{ 0 }-> 0 :|: z >= 0
   encode_2(z) -{ 0 }-> 1 + encArg(z) :|: z >= 0


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

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

(38)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(2(z0)) -> 2(encArg(z0))
   encArg(cons_0(z0)) -> 0(encArg(z0))
   encArg(cons_1(z0)) -> 1(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_0(c_1(c_0(2(2(c_1(2(c_0(c_0(c_1(c_1(2(2(2(c_1(c_1(2(c_1(c_1(z0)))))))))))))))))))) -> 0(2(0(2(2(0(0(1(2(0(2(0(0(1(1(0(0(2(1(1(z0))))))))))))))))))))
   0(c_1(c_0(c_1(2(c_1(c_1(c_1(c_0(c_0(c_1(c_1(2(2(2(c_0(2(c_0(c_1(2(z0)))))))))))))))))))) -> 0(2(1(1(2(1(0(2(0(1(1(0(2(0(1(0(2(2(0(2(z0))))))))))))))))))))
   0(2(c_1(c_1(c_1(c_0(2(c_1(c_1(c_0(c_1(c_0(2(2(c_0(c_0(2(c_0(2(c_1(z0)))))))))))))))))))) -> 0(1(0(1(2(2(2(1(1(0(2(2(1(2(0(0(0(0(2(1(z0))))))))))))))))))))
   0(c_1(c_0(2(2(c_1(c_1(c_0(c_1(c_0(2(2(c_1(c_0(2(c_0(c_1(c_0(c_1(c_1(z0)))))))))))))))))))) -> 0(1(2(0(0(2(2(0(0(0(0(2(1(2(1(0(1(2(0(2(z0))))))))))))))))))))
   0(2(c_1(2(c_0(c_1(c_1(c_1(2(c_0(c_1(c_1(2(c_1(2(c_0(2(c_0(2(c_0(z0)))))))))))))))))))) -> 0(1(2(1(1(0(1(1(2(1(2(0(1(0(1(2(2(0(2(2(z0))))))))))))))))))))
   0(c_0(c_1(c_0(c_0(c_1(c_1(2(c_1(c_1(2(2(c_1(c_1(2(2(c_1(c_1(c_0(2(z0)))))))))))))))))))) -> 0(1(1(0(0(2(0(0(2(0(2(1(1(1(1(1(0(2(0(2(z0))))))))))))))))))))
   0(c_1(c_1(c_0(c_1(c_0(2(c_1(c_1(2(2(c_0(2(c_0(2(c_0(2(2(c_0(c_1(z0)))))))))))))))))))) -> 0(2(0(2(1(0(0(1(2(2(1(2(2(1(2(2(1(2(2(0(z0))))))))))))))))))))
   0(c_1(c_0(c_1(c_1(c_1(c_1(2(c_0(2(2(2(2(2(2(c_1(c_0(2(c_0(c_1(z0)))))))))))))))))))) -> 0(0(0(2(2(1(0(0(1(2(1(0(2(2(1(0(0(2(2(1(z0))))))))))))))))))))
   0(c_0(2(2(c_0(c_0(c_1(c_0(2(2(c_1(c_1(2(2(c_1(c_0(2(2(c_0(c_1(z0)))))))))))))))))))) -> 0(2(0(2(2(1(0(0(2(2(1(2(1(1(0(0(2(0(2(1(z0))))))))))))))))))))
   0(c_0(2(2(c_1(c_1(c_1(c_0(c_1(c_0(c_1(c_0(c_1(2(2(2(c_1(2(c_0(c_0(z0)))))))))))))))))))) -> 0(1(0(2(0(2(2(1(0(1(0(2(1(2(1(0(1(1(1(2(z0))))))))))))))))))))
   0(c_1(c_1(c_0(c_0(2(c_0(2(c_1(c_1(c_1(2(c_1(2(c_1(c_0(c_0(c_1(c_1(c_1(z0)))))))))))))))))))) -> 0(1(0(0(2(2(0(0(2(2(0(2(0(0(1(2(1(0(1(2(z0))))))))))))))))))))
   0(c_1(c_1(c_0(2(c_1(2(c_1(c_1(c_0(c_1(c_1(2(c_1(c_0(c_1(c_0(c_1(c_1(c_1(z0)))))))))))))))))))) -> 0(1(1(1(2(1(2(2(0(1(1(0(2(2(0(0(2(1(0(2(z0))))))))))))))))))))
   0(2(c_1(c_1(c_1(2(2(c_0(c_0(c_0(2(c_1(c_0(c_1(2(2(c_1(c_0(2(c_0(z0)))))))))))))))))))) -> 0(1(0(1(0(0(0(1(0(2(1(1(0(0(2(1(2(0(2(1(z0))))))))))))))))))))
   0(c_0(c_0(2(c_1(2(2(c_0(c_1(c_1(c_0(c_0(c_1(c_1(2(c_1(c_0(2(2(c_1(z0)))))))))))))))))))) -> 0(2(0(1(1(2(0(1(2(1(2(1(0(2(2(0(2(0(1(0(z0))))))))))))))))))))
   0(c_0(2(c_0(2(c_1(c_1(2(c_1(c_1(c_1(c_1(c_1(c_0(c_1(c_1(c_1(2(2(c_1(z0)))))))))))))))))))) -> 0(2(0(0(2(1(1(2(2(0(2(0(1(2(2(2(1(1(1(2(z0))))))))))))))))))))
   0(2(c_0(c_1(c_1(c_1(c_0(c_1(2(2(c_0(2(c_0(2(c_0(2(c_1(2(c_0(c_1(z0)))))))))))))))))))) -> 0(2(2(0(1(2(2(2(2(1(0(2(1(2(0(0(2(2(2(1(z0))))))))))))))))))))
   0(c_0(2(c_1(c_0(c_1(c_0(c_0(2(c_0(c_1(c_1(c_0(2(c_0(2(2(2(2(c_0(z0)))))))))))))))))))) -> 0(2(2(0(0(0(2(1(0(0(0(1(1(2(0(1(1(0(0(0(z0))))))))))))))))))))
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   0(c_0(c_0(c_1(2(c_0(2(2(c_1(c_1(c_0(c_1(c_0(c_1(2(c_0(c_1(c_1(c_1(c_1(z0)))))))))))))))))))) -> 0(1(2(0(1(2(1(0(1(0(1(0(2(0(1(1(1(1(0(2(z0))))))))))))))))))))
   0(c_0(c_1(2(c_0(c_1(2(c_0(c_1(c_1(c_1(c_0(2(2(c_1(c_0(2(c_1(c_1(2(z0)))))))))))))))))))) -> 0(1(2(2(0(2(2(2(1(0(1(2(2(1(0(0(1(1(1(2(z0))))))))))))))))))))
   0(c_0(c_1(2(2(c_1(c_1(c_0(2(2(2(c_0(c_1(c_1(c_1(c_1(c_0(c_1(2(c_1(z0)))))))))))))))))))) -> 0(1(2(2(0(1(1(1(2(0(2(0(0(1(2(0(2(1(2(0(z0))))))))))))))))))))
   0(c_1(c_1(2(c_0(2(c_0(2(2(c_1(c_1(2(c_0(c_1(2(2(c_0(c_1(c_0(c_0(z0)))))))))))))))))))) -> 0(1(2(0(0(0(2(1(2(0(1(2(2(2(2(0(1(1(0(1(z0))))))))))))))))))))
   0(2(c_1(c_1(2(c_0(2(2(2(c_0(c_1(2(c_0(2(c_0(2(2(c_0(c_0(c_1(z0)))))))))))))))))))) -> 0(0(2(1(2(0(0(0(2(0(1(2(2(2(1(0(1(1(1(0(z0))))))))))))))))))))
   0(c_1(c_0(c_1(c_0(c_1(c_1(c_0(c_0(c_0(c_1(c_0(2(c_1(c_1(2(c_0(c_1(c_0(c_1(z0)))))))))))))))))))) -> 0(0(2(1(1(0(0(2(0(2(1(0(1(1(0(2(2(0(1(2(z0))))))))))))))))))))
   0(c_0(c_1(2(2(c_0(c_1(c_1(2(c_0(c_0(2(2(c_1(c_0(2(c_1(2(c_1(c_0(z0)))))))))))))))))))) -> 0(2(2(0(2(0(2(1(0(2(0(0(2(2(1(0(0(0(2(0(z0))))))))))))))))))))
   0(c_0(c_0(2(2(c_1(c_1(2(2(c_0(c_0(2(c_1(2(c_0(c_1(c_1(c_0(2(2(z0)))))))))))))))))))) -> 0(2(2(2(1(0(0(2(1(2(1(2(1(2(1(1(1(2(0(2(z0))))))))))))))))))))
   0(c_1(2(c_1(c_0(c_1(2(2(c_1(c_1(c_0(c_0(c_1(c_1(2(2(c_1(c_0(c_1(c_1(z0)))))))))))))))))))) -> 0(2(2(2(0(2(0(2(0(1(2(1(2(2(2(1(0(0(1(0(z0))))))))))))))))))))
   0(2(2(c_1(c_1(2(2(c_1(c_0(2(c_1(2(c_1(c_1(2(2(2(c_0(2(c_0(z0)))))))))))))))))))) -> 0(2(1(2(2(2(1(0(0(1(0(0(0(1(2(1(1(2(2(1(z0))))))))))))))))))))
   0(c_1(c_1(c_1(2(2(c_1(2(c_1(c_1(c_1(c_0(c_0(c_1(c_1(c_1(2(c_1(c_1(c_0(z0)))))))))))))))))))) -> 0(0(1(0(2(0(1(1(1(2(0(2(1(2(2(0(2(1(2(1(z0))))))))))))))))))))
   0(c_0(2(c_0(c_1(c_1(2(c_0(2(c_1(c_0(2(2(c_1(c_1(c_0(c_1(2(c_0(c_1(z0)))))))))))))))))))) -> 0(1(2(0(2(0(1(0(1(2(1(0(0(2(2(1(0(1(0(1(z0))))))))))))))))))))
   0(c_1(c_1(2(2(2(2(c_1(c_0(2(c_0(c_0(c_1(2(2(c_1(2(2(2(2(z0)))))))))))))))))))) -> 0(1(0(0(2(0(0(1(2(1(2(0(1(2(2(1(0(2(0(2(z0))))))))))))))))))))
   0(2(c_0(c_1(2(c_1(c_1(c_1(c_1(2(c_0(2(c_1(2(c_0(c_1(2(2(c_0(c_1(z0)))))))))))))))))))) -> 0(1(1(1(1(2(1(0(0(1(1(0(2(1(0(0(2(0(0(1(z0))))))))))))))))))))
   0(c_1(c_0(c_1(c_1(2(c_1(c_0(c_0(c_0(2(2(2(c_1(2(c_1(2(c_1(c_0(2(z0)))))))))))))))))))) -> 0(1(0(0(2(2(1(2(1(0(1(0(0(0(2(0(0(2(1(2(z0))))))))))))))))))))
   0(c_0(c_1(c_0(2(c_1(2(2(2(2(c_0(c_1(2(c_0(c_1(c_1(2(2(c_0(2(z0)))))))))))))))))))) -> 0(0(2(1(1(0(0(2(2(2(0(1(2(2(0(1(2(2(0(2(z0))))))))))))))))))))
   0(c_1(c_1(c_0(c_1(2(c_1(2(c_0(2(2(c_1(c_0(c_0(2(c_0(c_1(c_0(c_1(c_1(z0)))))))))))))))))))) -> 0(0(0(1(2(0(2(2(2(0(1(0(1(2(1(1(1(0(2(0(z0))))))))))))))))))))
   1(z0) -> c_1(z0)
   1(2(2(c_0(2(c_0(2(c_1(2(c_1(2(c_1(c_0(c_0(c_1(c_0(c_0(2(c_0(c_1(z0)))))))))))))))))))) -> 1(0(1(2(0(1(0(0(1(0(0(0(2(1(0(0(1(0(0(2(z0))))))))))))))))))))
Tuples:
   ENCARG(2(z0)) -> c(ENCARG(z0))
   ENCARG(cons_0(z0)) -> c1(0'(encArg(z0)), ENCARG(z0))
   ENCARG(cons_1(z0)) -> c2(1'(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(ENCARG(z0))
   0'(z0) -> c6
   0'(c_0(c_1(c_0(2(2(c_1(2(c_0(c_0(c_1(c_1(2(2(2(c_1(c_1(2(c_1(c_1(z0)))))))))))))))))))) -> c7(0'(2(0(2(2(0(0(1(2(0(2(0(0(1(1(0(0(2(1(1(z0)))))))))))))))))))), 0'(2(2(0(0(1(2(0(2(0(0(1(1(0(0(2(1(1(z0)))))))))))))))))), 0'(0(1(2(0(2(0(0(1(1(0(0(2(1(1(z0))))))))))))))), 0'(1(2(0(2(0(0(1(1(0(0(2(1(1(z0)))))))))))))), 1'(2(0(2(0(0(1(1(0(0(2(1(1(z0))))))))))))), 0'(2(0(0(1(1(0(0(2(1(1(z0))))))))))), 0'(0(1(1(0(0(2(1(1(z0))))))))), 0'(1(1(0(0(2(1(1(z0)))))))), 1'(1(0(0(2(1(1(z0))))))), 1'(0(0(2(1(1(z0)))))), 0'(0(2(1(1(z0))))), 0'(2(1(1(z0)))), 1'(1(z0)), 1'(z0))
   0'(c_1(c_0(c_1(2(c_1(c_1(c_1(c_0(c_0(c_1(c_1(2(2(2(c_0(2(c_0(c_1(2(z0)))))))))))))))))))) -> c8(0'(2(1(1(2(1(0(2(0(1(1(0(2(0(1(0(2(2(0(2(z0)))))))))))))))))))), 1'(1(2(1(0(2(0(1(1(0(2(0(1(0(2(2(0(2(z0)))))))))))))))))), 1'(2(1(0(2(0(1(1(0(2(0(1(0(2(2(0(2(z0))))))))))))))))), 1'(0(2(0(1(1(0(2(0(1(0(2(2(0(2(z0))))))))))))))), 0'(2(0(1(1(0(2(0(1(0(2(2(0(2(z0)))))))))))))), 0'(1(1(0(2(0(1(0(2(2(0(2(z0)))))))))))), 1'(1(0(2(0(1(0(2(2(0(2(z0))))))))))), 1'(0(2(0(1(0(2(2(0(2(z0)))))))))), 0'(2(0(1(0(2(2(0(2(z0))))))))), 0'(1(0(2(2(0(2(z0))))))), 1'(0(2(2(0(2(z0)))))), 0'(2(2(0(2(z0))))), 0'(2(z0)))
   0'(2(c_1(c_1(c_1(c_0(2(c_1(c_1(c_0(c_1(c_0(2(2(c_0(c_0(2(c_0(2(c_1(z0)))))))))))))))))))) -> c9(0'(1(0(1(2(2(2(1(1(0(2(2(1(2(0(0(0(0(2(1(z0)))))))))))))))))))), 1'(0(1(2(2(2(1(1(0(2(2(1(2(0(0(0(0(2(1(z0))))))))))))))))))), 0'(1(2(2(2(1(1(0(2(2(1(2(0(0(0(0(2(1(z0)))))))))))))))))), 1'(2(2(2(1(1(0(2(2(1(2(0(0(0(0(2(1(z0))))))))))))))))), 1'(1(0(2(2(1(2(0(0(0(0(2(1(z0))))))))))))), 1'(0(2(2(1(2(0(0(0(0(2(1(z0)))))))))))), 0'(2(2(1(2(0(0(0(0(2(1(z0))))))))))), 1'(2(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))), 1'(z0))
   0'(c_1(c_0(2(2(c_1(c_1(c_0(c_1(c_0(2(2(c_1(c_0(2(c_0(c_1(c_0(c_1(c_1(z0)))))))))))))))))))) -> c10(0'(1(2(0(0(2(2(0(0(0(0(2(1(2(1(0(1(2(0(2(z0)))))))))))))))))))), 1'(2(0(0(2(2(0(0(0(0(2(1(2(1(0(1(2(0(2(z0))))))))))))))))))), 0'(0(2(2(0(0(0(0(2(1(2(1(0(1(2(0(2(z0))))))))))))))))), 0'(2(2(0(0(0(0(2(1(2(1(0(1(2(0(2(z0)))))))))))))))), 0'(0(0(0(2(1(2(1(0(1(2(0(2(z0))))))))))))), 0'(0(0(2(1(2(1(0(1(2(0(2(z0)))))))))))), 0'(0(2(1(2(1(0(1(2(0(2(z0))))))))))), 0'(2(1(2(1(0(1(2(0(2(z0)))))))))), 1'(2(1(0(1(2(0(2(z0)))))))), 1'(0(1(2(0(2(z0)))))), 0'(1(2(0(2(z0))))), 1'(2(0(2(z0)))), 0'(2(z0)))
   0'(2(c_1(2(c_0(c_1(c_1(c_1(2(c_0(c_1(c_1(2(c_1(2(c_0(2(c_0(2(c_0(z0)))))))))))))))))))) -> c11(0'(1(2(1(1(0(1(1(2(1(2(0(1(0(1(2(2(0(2(2(z0)))))))))))))))))))), 1'(2(1(1(0(1(1(2(1(2(0(1(0(1(2(2(0(2(2(z0))))))))))))))))))), 1'(1(0(1(1(2(1(2(0(1(0(1(2(2(0(2(2(z0))))))))))))))))), 1'(0(1(1(2(1(2(0(1(0(1(2(2(0(2(2(z0)))))))))))))))), 0'(1(1(2(1(2(0(1(0(1(2(2(0(2(2(z0))))))))))))))), 1'(1(2(1(2(0(1(0(1(2(2(0(2(2(z0)))))))))))))), 1'(2(1(2(0(1(0(1(2(2(0(2(2(z0))))))))))))), 1'(2(0(1(0(1(2(2(0(2(2(z0))))))))))), 0'(1(0(1(2(2(0(2(2(z0))))))))), 1'(0(1(2(2(0(2(2(z0)))))))), 0'(1(2(2(0(2(2(z0))))))), 1'(2(2(0(2(2(z0)))))), 0'(2(2(z0))))
   0'(c_0(c_1(c_0(c_0(c_1(c_1(2(c_1(c_1(2(2(c_1(c_1(2(2(c_1(c_1(c_0(2(z0)))))))))))))))))))) -> c12(0'(1(1(0(0(2(0(0(2(0(2(1(1(1(1(1(0(2(0(2(z0)))))))))))))))))))), 1'(1(0(0(2(0(0(2(0(2(1(1(1(1(1(0(2(0(2(z0))))))))))))))))))), 1'(0(0(2(0(0(2(0(2(1(1(1(1(1(0(2(0(2(z0)))))))))))))))))), 0'(0(2(0(0(2(0(2(1(1(1(1(1(0(2(0(2(z0))))))))))))))))), 0'(2(0(0(2(0(2(1(1(1(1(1(0(2(0(2(z0)))))))))))))))), 0'(0(2(0(2(1(1(1(1(1(0(2(0(2(z0)))))))))))))), 0'(2(0(2(1(1(1(1(1(0(2(0(2(z0))))))))))))), 0'(2(1(1(1(1(1(0(2(0(2(z0))))))))))), 1'(1(1(1(1(0(2(0(2(z0))))))))), 1'(1(1(1(0(2(0(2(z0)))))))), 1'(1(1(0(2(0(2(z0))))))), 1'(1(0(2(0(2(z0)))))), 1'(0(2(0(2(z0))))), 0'(2(0(2(z0)))), 0'(2(z0)))
   0'(c_1(c_1(c_0(c_1(c_0(2(c_1(c_1(2(2(c_0(2(c_0(2(c_0(2(2(c_0(c_1(z0)))))))))))))))))))) -> c13(0'(2(0(2(1(0(0(1(2(2(1(2(2(1(2(2(1(2(2(0(z0)))))))))))))))))))), 0'(2(1(0(0(1(2(2(1(2(2(1(2(2(1(2(2(0(z0)))))))))))))))))), 1'(0(0(1(2(2(1(2(2(1(2(2(1(2(2(0(z0)))))))))))))))), 0'(0(1(2(2(1(2(2(1(2(2(1(2(2(0(z0))))))))))))))), 0'(1(2(2(1(2(2(1(2(2(1(2(2(0(z0)))))))))))))), 1'(2(2(1(2(2(1(2(2(1(2(2(0(z0))))))))))))), 1'(2(2(1(2(2(1(2(2(0(z0)))))))))), 1'(2(2(1(2(2(0(z0))))))), 1'(2(2(0(z0)))), 0'(z0))
   0'(c_1(c_0(c_1(c_1(c_1(c_1(2(c_0(2(2(2(2(2(2(c_1(c_0(2(c_0(c_1(z0)))))))))))))))))))) -> c14(0'(0(0(2(2(1(0(0(1(2(1(0(2(2(1(0(0(2(2(1(z0)))))))))))))))))))), 0'(0(2(2(1(0(0(1(2(1(0(2(2(1(0(0(2(2(1(z0))))))))))))))))))), 0'(2(2(1(0(0(1(2(1(0(2(2(1(0(0(2(2(1(z0)))))))))))))))))), 1'(0(0(1(2(1(0(2(2(1(0(0(2(2(1(z0))))))))))))))), 0'(0(1(2(1(0(2(2(1(0(0(2(2(1(z0)))))))))))))), 0'(1(2(1(0(2(2(1(0(0(2(2(1(z0))))))))))))), 1'(2(1(0(2(2(1(0(0(2(2(1(z0)))))))))))), 1'(0(2(2(1(0(0(2(2(1(z0)))))))))), 0'(2(2(1(0(0(2(2(1(z0))))))))), 1'(0(0(2(2(1(z0)))))), 0'(0(2(2(1(z0))))), 0'(2(2(1(z0)))), 1'(z0))
   0'(c_0(2(2(c_0(c_0(c_1(c_0(2(2(c_1(c_1(2(2(c_1(c_0(2(2(c_0(c_1(z0)))))))))))))))))))) -> c15(0'(2(0(2(2(1(0(0(2(2(1(2(1(1(0(0(2(0(2(1(z0)))))))))))))))))))), 0'(2(2(1(0(0(2(2(1(2(1(1(0(0(2(0(2(1(z0)))))))))))))))))), 1'(0(0(2(2(1(2(1(1(0(0(2(0(2(1(z0))))))))))))))), 0'(0(2(2(1(2(1(1(0(0(2(0(2(1(z0)))))))))))))), 0'(2(2(1(2(1(1(0(0(2(0(2(1(z0))))))))))))), 1'(2(1(1(0(0(2(0(2(1(z0)))))))))), 1'(1(0(0(2(0(2(1(z0)))))))), 1'(0(0(2(0(2(1(z0))))))), 0'(0(2(0(2(1(z0)))))), 0'(2(0(2(1(z0))))), 0'(2(1(z0))), 1'(z0))
   0'(c_0(2(2(c_1(c_1(c_1(c_0(c_1(c_0(c_1(c_0(c_1(2(2(2(c_1(2(c_0(c_0(z0)))))))))))))))))))) -> c16(0'(1(0(2(0(2(2(1(0(1(0(2(1(2(1(0(1(1(1(2(z0)))))))))))))))))))), 1'(0(2(0(2(2(1(0(1(0(2(1(2(1(0(1(1(1(2(z0))))))))))))))))))), 0'(2(0(2(2(1(0(1(0(2(1(2(1(0(1(1(1(2(z0)))))))))))))))))), 0'(2(2(1(0(1(0(2(1(2(1(0(1(1(1(2(z0)))))))))))))))), 1'(0(1(0(2(1(2(1(0(1(1(1(2(z0))))))))))))), 0'(1(0(2(1(2(1(0(1(1(1(2(z0)))))))))))), 1'(0(2(1(2(1(0(1(1(1(2(z0))))))))))), 0'(2(1(2(1(0(1(1(1(2(z0)))))))))), 1'(2(1(0(1(1(1(2(z0)))))))), 1'(0(1(1(1(2(z0)))))), 0'(1(1(1(2(z0))))), 1'(1(1(2(z0)))), 1'(1(2(z0))), 1'(2(z0)))
   0'(c_1(c_1(c_0(c_0(2(c_0(2(c_1(c_1(c_1(2(c_1(2(c_1(c_0(c_0(c_1(c_1(c_1(z0)))))))))))))))))))) -> c17(0'(1(0(0(2(2(0(0(2(2(0(2(0(0(1(2(1(0(1(2(z0)))))))))))))))))))), 1'(0(0(2(2(0(0(2(2(0(2(0(0(1(2(1(0(1(2(z0))))))))))))))))))), 0'(0(2(2(0(0(2(2(0(2(0(0(1(2(1(0(1(2(z0)))))))))))))))))), 0'(2(2(0(0(2(2(0(2(0(0(1(2(1(0(1(2(z0))))))))))))))))), 0'(0(2(2(0(2(0(0(1(2(1(0(1(2(z0)))))))))))))), 0'(2(2(0(2(0(0(1(2(1(0(1(2(z0))))))))))))), 0'(2(0(0(1(2(1(0(1(2(z0)))))))))), 0'(0(1(2(1(0(1(2(z0)))))))), 0'(1(2(1(0(1(2(z0))))))), 1'(2(1(0(1(2(z0)))))), 1'(0(1(2(z0)))), 0'(1(2(z0))), 1'(2(z0)))
   0'(c_1(c_1(c_0(2(c_1(2(c_1(c_1(c_0(c_1(c_1(2(c_1(c_0(c_1(c_0(c_1(c_1(c_1(z0)))))))))))))))))))) -> c18(0'(1(1(1(2(1(2(2(0(1(1(0(2(2(0(0(2(1(0(2(z0)))))))))))))))))))), 1'(1(1(2(1(2(2(0(1(1(0(2(2(0(0(2(1(0(2(z0))))))))))))))))))), 1'(1(2(1(2(2(0(1(1(0(2(2(0(0(2(1(0(2(z0)))))))))))))))))), 1'(2(1(2(2(0(1(1(0(2(2(0(0(2(1(0(2(z0))))))))))))))))), 1'(2(2(0(1(1(0(2(2(0(0(2(1(0(2(z0))))))))))))))), 0'(1(1(0(2(2(0(0(2(1(0(2(z0)))))))))))), 1'(1(0(2(2(0(0(2(1(0(2(z0))))))))))), 1'(0(2(2(0(0(2(1(0(2(z0)))))))))), 0'(2(2(0(0(2(1(0(2(z0))))))))), 0'(0(2(1(0(2(z0)))))), 0'(2(1(0(2(z0))))), 1'(0(2(z0))), 0'(2(z0)))
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   0'(c_1(c_1(c_0(2(2(c_0(c_1(2(2(2(c_0(2(2(c_1(2(c_1(2(c_1(c_0(z0)))))))))))))))))))) -> c24(0'(0(2(0(0(2(0(2(1(0(2(2(2(0(0(0(2(1(1(2(z0)))))))))))))))))))), 0'(2(0(0(2(0(2(1(0(2(2(2(0(0(0(2(1(1(2(z0))))))))))))))))))), 0'(0(2(0(2(1(0(2(2(2(0(0(0(2(1(1(2(z0))))))))))))))))), 0'(2(0(2(1(0(2(2(2(0(0(0(2(1(1(2(z0)))))))))))))))), 0'(2(1(0(2(2(2(0(0(0(2(1(1(2(z0)))))))))))))), 1'(0(2(2(2(0(0(0(2(1(1(2(z0)))))))))))), 0'(2(2(2(0(0(0(2(1(1(2(z0))))))))))), 0'(0(0(2(1(1(2(z0))))))), 0'(0(2(1(1(2(z0)))))), 0'(2(1(1(2(z0))))), 1'(1(2(z0))), 1'(2(z0)))
   0'(c_1(c_0(2(c_0(c_0(c_1(2(2(2(c_1(2(2(2(c_0(c_0(c_0(c_1(2(2(z0)))))))))))))))))))) -> c25(0'(1(0(1(1(2(1(0(0(1(0(0(2(2(2(1(0(2(0(0(z0)))))))))))))))))))), 1'(0(1(1(2(1(0(0(1(0(0(2(2(2(1(0(2(0(0(z0))))))))))))))))))), 0'(1(1(2(1(0(0(1(0(0(2(2(2(1(0(2(0(0(z0)))))))))))))))))), 1'(1(2(1(0(0(1(0(0(2(2(2(1(0(2(0(0(z0))))))))))))))))), 1'(2(1(0(0(1(0(0(2(2(2(1(0(2(0(0(z0)))))))))))))))), 1'(0(0(1(0(0(2(2(2(1(0(2(0(0(z0)))))))))))))), 0'(0(1(0(0(2(2(2(1(0(2(0(0(z0))))))))))))), 0'(1(0(0(2(2(2(1(0(2(0(0(z0)))))))))))), 1'(0(0(2(2(2(1(0(2(0(0(z0))))))))))), 0'(0(2(2(2(1(0(2(0(0(z0)))))))))), 0'(2(2(2(1(0(2(0(0(z0))))))))), 1'(0(2(0(0(z0))))), 0'(2(0(0(z0)))), 0'(0(z0)), 0'(z0))
   0'(c_1(c_1(2(c_1(c_1(c_1(c_1(c_0(c_0(c_0(c_0(c_1(c_1(c_0(c_1(c_0(c_1(c_1(c_0(z0)))))))))))))))))))) -> c26(0'(0(0(1(0(1(0(1(1(1(2(0(1(2(2(0(2(2(0(2(z0)))))))))))))))))))), 0'(0(1(0(1(0(1(1(1(2(0(1(2(2(0(2(2(0(2(z0))))))))))))))))))), 0'(1(0(1(0(1(1(1(2(0(1(2(2(0(2(2(0(2(z0)))))))))))))))))), 1'(0(1(0(1(1(1(2(0(1(2(2(0(2(2(0(2(z0))))))))))))))))), 0'(1(0(1(1(1(2(0(1(2(2(0(2(2(0(2(z0)))))))))))))))), 1'(0(1(1(1(2(0(1(2(2(0(2(2(0(2(z0))))))))))))))), 0'(1(1(1(2(0(1(2(2(0(2(2(0(2(z0)))))))))))))), 1'(1(1(2(0(1(2(2(0(2(2(0(2(z0))))))))))))), 1'(1(2(0(1(2(2(0(2(2(0(2(z0)))))))))))), 1'(2(0(1(2(2(0(2(2(0(2(z0))))))))))), 0'(1(2(2(0(2(2(0(2(z0))))))))), 1'(2(2(0(2(2(0(2(z0)))))))), 0'(2(2(0(2(z0))))), 0'(2(z0)))
   0'(c_0(2(c_0(c_0(c_0(2(c_1(2(2(2(c_1(c_1(c_1(c_0(2(c_1(c_1(c_0(c_0(z0)))))))))))))))))))) -> c27(0'(2(0(1(2(0(1(2(0(1(0(1(2(2(1(2(1(0(0(0(z0)))))))))))))))))))), 0'(1(2(0(1(2(0(1(0(1(2(2(1(2(1(0(0(0(z0)))))))))))))))))), 1'(2(0(1(2(0(1(0(1(2(2(1(2(1(0(0(0(z0))))))))))))))))), 0'(1(2(0(1(0(1(2(2(1(2(1(0(0(0(z0))))))))))))))), 1'(2(0(1(0(1(2(2(1(2(1(0(0(0(z0)))))))))))))), 0'(1(0(1(2(2(1(2(1(0(0(0(z0)))))))))))), 1'(0(1(2(2(1(2(1(0(0(0(z0))))))))))), 0'(1(2(2(1(2(1(0(0(0(z0)))))))))), 1'(2(2(1(2(1(0(0(0(z0))))))))), 1'(2(1(0(0(0(z0)))))), 1'(0(0(0(z0)))), 0'(0(0(z0))), 0'(0(z0)), 0'(z0))
   0'(c_1(c_0(2(c_1(c_1(c_1(c_0(2(2(c_1(c_1(c_1(c_1(2(c_0(2(c_1(c_0(c_0(z0)))))))))))))))))))) -> c28(0'(2(1(0(2(0(0(1(2(2(0(0(0(1(1(1(1(0(2(2(z0)))))))))))))))))))), 1'(0(2(0(0(1(2(2(0(0(0(1(1(1(1(0(2(2(z0)))))))))))))))))), 0'(2(0(0(1(2(2(0(0(0(1(1(1(1(0(2(2(z0))))))))))))))))), 0'(0(1(2(2(0(0(0(1(1(1(1(0(2(2(z0))))))))))))))), 0'(1(2(2(0(0(0(1(1(1(1(0(2(2(z0)))))))))))))), 1'(2(2(0(0(0(1(1(1(1(0(2(2(z0))))))))))))), 0'(0(0(1(1(1(1(0(2(2(z0)))))))))), 0'(0(1(1(1(1(0(2(2(z0))))))))), 0'(1(1(1(1(0(2(2(z0)))))))), 1'(1(1(1(0(2(2(z0))))))), 1'(1(1(0(2(2(z0)))))), 1'(1(0(2(2(z0))))), 1'(0(2(2(z0)))), 0'(2(2(z0))))
   0'(2(c_1(c_1(c_0(2(c_1(c_1(c_1(c_1(2(2(c_0(c_1(c_1(c_1(2(2(c_1(c_1(z0)))))))))))))))))))) -> c29(0'(0(2(0(0(1(0(2(2(1(0(1(1(0(0(2(0(2(2(1(z0)))))))))))))))))))), 0'(2(0(0(1(0(2(2(1(0(1(1(0(0(2(0(2(2(1(z0))))))))))))))))))), 0'(0(1(0(2(2(1(0(1(1(0(0(2(0(2(2(1(z0))))))))))))))))), 0'(1(0(2(2(1(0(1(1(0(0(2(0(2(2(1(z0)))))))))))))))), 1'(0(2(2(1(0(1(1(0(0(2(0(2(2(1(z0))))))))))))))), 0'(2(2(1(0(1(1(0(0(2(0(2(2(1(z0)))))))))))))), 1'(0(1(1(0(0(2(0(2(2(1(z0))))))))))), 0'(1(1(0(0(2(0(2(2(1(z0)))))))))), 1'(1(0(0(2(0(2(2(1(z0))))))))), 1'(0(0(2(0(2(2(1(z0)))))))), 0'(0(2(0(2(2(1(z0))))))), 0'(2(0(2(2(1(z0)))))), 0'(2(2(1(z0)))), 1'(z0))
   0'(c_0(2(2(2(c_0(c_1(c_0(c_1(c_1(c_1(c_0(c_1(c_0(c_0(c_0(c_1(c_1(2(c_0(z0)))))))))))))))))))) -> c30(0'(2(0(2(2(2(2(0(2(2(1(0(0(0(0(0(0(2(0(0(z0)))))))))))))))))))), 0'(2(2(2(2(0(2(2(1(0(0(0(0(0(0(2(0(0(z0)))))))))))))))))), 0'(2(2(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)))), 0'(0(z0)), 0'(z0))
   0'(2(c_0(2(c_1(c_0(c_0(c_1(2(c_0(2(c_0(c_1(c_0(c_1(c_1(c_1(2(2(c_1(z0)))))))))))))))))))) -> c31(0'(0(1(0(1(0(1(1(2(1(0(0(0(1(2(2(2(0(1(0(z0)))))))))))))))))))), 0'(1(0(1(0(1(1(2(1(0(0(0(1(2(2(2(0(1(0(z0))))))))))))))))))), 1'(0(1(0(1(1(2(1(0(0(0(1(2(2(2(0(1(0(z0)))))))))))))))))), 0'(1(0(1(1(2(1(0(0(0(1(2(2(2(0(1(0(z0))))))))))))))))), 1'(0(1(1(2(1(0(0(0(1(2(2(2(0(1(0(z0)))))))))))))))), 0'(1(1(2(1(0(0(0(1(2(2(2(0(1(0(z0))))))))))))))), 1'(1(2(1(0(0(0(1(2(2(2(0(1(0(z0)))))))))))))), 1'(2(1(0(0(0(1(2(2(2(0(1(0(z0))))))))))))), 1'(0(0(0(1(2(2(2(0(1(0(z0))))))))))), 0'(0(0(1(2(2(2(0(1(0(z0)))))))))), 0'(0(1(2(2(2(0(1(0(z0))))))))), 0'(1(2(2(2(0(1(0(z0)))))))), 1'(2(2(2(0(1(0(z0))))))), 0'(1(0(z0))), 1'(0(z0)), 0'(z0))
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   0'(c_1(c_0(c_1(2(c_1(c_1(c_1(2(2(c_0(2(c_1(c_1(2(c_1(2(c_0(2(c_1(z0)))))))))))))))))))) -> c42(0'(2(1(2(0(0(2(1(2(2(1(2(1(2(0(2(0(0(2(1(z0)))))))))))))))))))), 1'(2(0(0(2(1(2(2(1(2(1(2(0(2(0(0(2(1(z0)))))))))))))))))), 0'(0(2(1(2(2(1(2(1(2(0(2(0(0(2(1(z0)))))))))))))))), 0'(2(1(2(2(1(2(1(2(0(2(0(0(2(1(z0))))))))))))))), 1'(2(2(1(2(1(2(0(2(0(0(2(1(z0))))))))))))), 1'(2(1(2(0(2(0(0(2(1(z0)))))))))), 1'(2(0(2(0(0(2(1(z0)))))))), 0'(2(0(0(2(1(z0)))))), 0'(0(2(1(z0)))), 0'(2(1(z0))), 1'(z0))
   0'(c_1(c_0(2(c_0(2(c_1(c_1(c_1(c_0(c_1(2(2(c_0(2(c_0(c_1(c_1(2(c_0(z0)))))))))))))))))))) -> c43(0'(0(1(2(0(0(0(0(0(0(1(1(0(2(0(2(1(2(1(0(z0)))))))))))))))))))), 0'(1(2(0(0(0(0(0(0(1(1(0(2(0(2(1(2(1(0(z0))))))))))))))))))), 1'(2(0(0(0(0(0(0(1(1(0(2(0(2(1(2(1(0(z0)))))))))))))))))), 0'(0(0(0(0(0(1(1(0(2(0(2(1(2(1(0(z0)))))))))))))))), 0'(0(0(0(0(1(1(0(2(0(2(1(2(1(0(z0))))))))))))))), 0'(0(0(0(1(1(0(2(0(2(1(2(1(0(z0)))))))))))))), 0'(0(0(1(1(0(2(0(2(1(2(1(0(z0))))))))))))), 0'(0(1(1(0(2(0(2(1(2(1(0(z0)))))))))))), 0'(1(1(0(2(0(2(1(2(1(0(z0))))))))))), 1'(1(0(2(0(2(1(2(1(0(z0)))))))))), 1'(0(2(0(2(1(2(1(0(z0))))))))), 0'(2(0(2(1(2(1(0(z0)))))))), 0'(2(1(2(1(0(z0)))))), 1'(2(1(0(z0)))), 1'(0(z0)), 0'(z0))
   0'(c_1(2(c_0(c_0(c_1(2(c_0(2(c_0(c_0(c_1(c_0(2(c_0(c_0(2(c_1(2(c_0(z0)))))))))))))))))))) -> c44(0'(2(1(2(0(0(0(2(0(0(2(1(2(2(0(2(2(0(0(0(z0)))))))))))))))))))), 1'(2(0(0(0(2(0(0(2(1(2(2(0(2(2(0(0(0(z0)))))))))))))))))), 0'(0(0(2(0(0(2(1(2(2(0(2(2(0(0(0(z0)))))))))))))))), 0'(0(2(0(0(2(1(2(2(0(2(2(0(0(0(z0))))))))))))))), 0'(2(0(0(2(1(2(2(0(2(2(0(0(0(z0)))))))))))))), 0'(0(2(1(2(2(0(2(2(0(0(0(z0)))))))))))), 0'(2(1(2(2(0(2(2(0(0(0(z0))))))))))), 1'(2(2(0(2(2(0(0(0(z0))))))))), 0'(2(2(0(0(0(z0)))))), 0'(0(0(z0))), 0'(0(z0)), 0'(z0))
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   0'(c_0(2(2(c_1(2(c_0(c_1(2(2(c_0(c_1(c_0(c_0(c_0(2(2(c_0(c_0(c_0(z0)))))))))))))))))))) -> c46(0'(0(0(0(2(0(0(0(2(2(2(0(2(0(1(0(1(0(0(0(z0)))))))))))))))))))), 0'(0(0(2(0(0(0(2(2(2(0(2(0(1(0(1(0(0(0(z0))))))))))))))))))), 0'(0(2(0(0(0(2(2(2(0(2(0(1(0(1(0(0(0(z0)))))))))))))))))), 0'(2(0(0(0(2(2(2(0(2(0(1(0(1(0(0(0(z0))))))))))))))))), 0'(0(0(2(2(2(0(2(0(1(0(1(0(0(0(z0))))))))))))))), 0'(0(2(2(2(0(2(0(1(0(1(0(0(0(z0)))))))))))))), 0'(2(2(2(0(2(0(1(0(1(0(0(0(z0))))))))))))), 0'(2(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))
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   0'(c_1(c_0(c_0(2(2(c_0(c_1(2(2(c_1(2(c_1(c_0(c_1(2(2(2(c_1(c_0(z0)))))))))))))))))))) -> c57(0'(0(2(2(0(2(2(2(1(0(2(1(2(0(2(2(0(0(2(2(z0)))))))))))))))))))), 0'(2(2(0(2(2(2(1(0(2(1(2(0(2(2(0(0(2(2(z0))))))))))))))))))), 0'(2(2(2(1(0(2(1(2(0(2(2(0(0(2(2(z0)))))))))))))))), 1'(0(2(1(2(0(2(2(0(0(2(2(z0)))))))))))), 0'(2(1(2(0(2(2(0(0(2(2(z0))))))))))), 1'(2(0(2(2(0(0(2(2(z0))))))))), 0'(2(2(0(0(2(2(z0))))))), 0'(0(2(2(z0)))), 0'(2(2(z0))))
   0'(c_0(c_1(c_0(2(c_0(2(c_1(c_1(c_1(c_0(c_0(c_0(2(2(c_1(2(c_1(c_1(2(z0)))))))))))))))))))) -> c58(0'(2(0(0(2(2(0(2(1(1(2(1(2(1(0(2(2(0(2(0(z0)))))))))))))))))))), 0'(0(2(2(0(2(1(1(2(1(2(1(0(2(2(0(2(0(z0)))))))))))))))))), 0'(2(2(0(2(1(1(2(1(2(1(0(2(2(0(2(0(z0))))))))))))))))), 0'(2(1(1(2(1(2(1(0(2(2(0(2(0(z0)))))))))))))), 1'(1(2(1(2(1(0(2(2(0(2(0(z0)))))))))))), 1'(2(1(2(1(0(2(2(0(2(0(z0))))))))))), 1'(2(1(0(2(2(0(2(0(z0))))))))), 1'(0(2(2(0(2(0(z0))))))), 0'(2(2(0(2(0(z0)))))), 0'(2(0(z0))), 0'(z0))
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   0'(2(c_0(2(c_0(2(c_0(2(c_1(c_1(c_0(2(c_1(c_1(c_1(c_1(2(c_0(2(c_0(z0)))))))))))))))))))) -> c60(0'(1(0(2(1(2(1(1(0(0(2(2(2(0(0(1(2(2(0(0(z0)))))))))))))))))))), 1'(0(2(1(2(1(1(0(0(2(2(2(0(0(1(2(2(0(0(z0))))))))))))))))))), 0'(2(1(2(1(1(0(0(2(2(2(0(0(1(2(2(0(0(z0)))))))))))))))))), 1'(2(1(1(0(0(2(2(2(0(0(1(2(2(0(0(z0)))))))))))))))), 1'(1(0(0(2(2(2(0(0(1(2(2(0(0(z0)))))))))))))), 1'(0(0(2(2(2(0(0(1(2(2(0(0(z0))))))))))))), 0'(0(2(2(2(0(0(1(2(2(0(0(z0)))))))))))), 0'(2(2(2(0(0(1(2(2(0(0(z0))))))))))), 0'(0(1(2(2(0(0(z0))))))), 0'(1(2(2(0(0(z0)))))), 1'(2(2(0(0(z0))))), 0'(0(z0)), 0'(z0))
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   0'(c_1(c_1(c_0(c_1(c_1(c_1(c_1(2(c_0(2(c_0(2(2(2(c_0(c_0(c_0(2(c_1(z0)))))))))))))))))))) -> c86(0'(1(0(1(2(2(2(0(2(2(1(1(2(2(2(0(0(0(1(0(z0)))))))))))))))))))), 1'(0(1(2(2(2(0(2(2(1(1(2(2(2(0(0(0(1(0(z0))))))))))))))))))), 0'(1(2(2(2(0(2(2(1(1(2(2(2(0(0(0(1(0(z0)))))))))))))))))), 1'(2(2(2(0(2(2(1(1(2(2(2(0(0(0(1(0(z0))))))))))))))))), 0'(2(2(1(1(2(2(2(0(0(0(1(0(z0))))))))))))), 1'(1(2(2(2(0(0(0(1(0(z0)))))))))), 1'(2(2(2(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_1(c_0(c_1(2(2(2(c_1(c_1(2(c_1(2(c_1(c_0(2(c_0(c_1(2(c_0(z0)))))))))))))))))))) -> c87(0'(2(0(1(1(2(2(2(1(0(0(2(1(0(0(0(0(2(0(2(z0)))))))))))))))))))), 0'(1(1(2(2(2(1(0(0(2(1(0(0(0(0(2(0(2(z0)))))))))))))))))), 1'(1(2(2(2(1(0(0(2(1(0(0(0(0(2(0(2(z0))))))))))))))))), 1'(2(2(2(1(0(0(2(1(0(0(0(0(2(0(2(z0)))))))))))))))), 1'(0(0(2(1(0(0(0(0(2(0(2(z0)))))))))))), 0'(0(2(1(0(0(0(0(2(0(2(z0))))))))))), 0'(2(1(0(0(0(0(2(0(2(z0)))))))))), 1'(0(0(0(0(2(0(2(z0)))))))), 0'(0(0(0(2(0(2(z0))))))), 0'(0(0(2(0(2(z0)))))), 0'(0(2(0(2(z0))))), 0'(2(0(2(z0)))), 0'(2(z0)))
   0'(c_0(c_0(c_1(2(c_0(2(2(c_1(c_1(c_0(c_1(c_0(c_1(2(c_0(c_1(c_1(c_1(c_1(z0)))))))))))))))))))) -> c88(0'(1(2(0(1(2(1(0(1(0(1(0(2(0(1(1(1(1(0(2(z0)))))))))))))))))))), 1'(2(0(1(2(1(0(1(0(1(0(2(0(1(1(1(1(0(2(z0))))))))))))))))))), 0'(1(2(1(0(1(0(1(0(2(0(1(1(1(1(0(2(z0))))))))))))))))), 1'(2(1(0(1(0(1(0(2(0(1(1(1(1(0(2(z0)))))))))))))))), 1'(0(1(0(1(0(2(0(1(1(1(1(0(2(z0)))))))))))))), 0'(1(0(1(0(2(0(1(1(1(1(0(2(z0))))))))))))), 1'(0(1(0(2(0(1(1(1(1(0(2(z0)))))))))))), 0'(1(0(2(0(1(1(1(1(0(2(z0))))))))))), 1'(0(2(0(1(1(1(1(0(2(z0)))))))))), 0'(2(0(1(1(1(1(0(2(z0))))))))), 0'(1(1(1(1(0(2(z0))))))), 1'(1(1(1(0(2(z0)))))), 1'(1(1(0(2(z0))))), 1'(1(0(2(z0)))), 1'(0(2(z0))), 0'(2(z0)))
   0'(c_0(c_1(2(c_0(c_1(2(c_0(c_1(c_1(c_1(c_0(2(2(c_1(c_0(2(c_1(c_1(2(z0)))))))))))))))))))) -> c89(0'(1(2(2(0(2(2(2(1(0(1(2(2(1(0(0(1(1(1(2(z0)))))))))))))))))))), 1'(2(2(0(2(2(2(1(0(1(2(2(1(0(0(1(1(1(2(z0))))))))))))))))))), 0'(2(2(2(1(0(1(2(2(1(0(0(1(1(1(2(z0)))))))))))))))), 1'(0(1(2(2(1(0(0(1(1(1(2(z0)))))))))))), 0'(1(2(2(1(0(0(1(1(1(2(z0))))))))))), 1'(2(2(1(0(0(1(1(1(2(z0)))))))))), 1'(0(0(1(1(1(2(z0))))))), 0'(0(1(1(1(2(z0)))))), 0'(1(1(1(2(z0))))), 1'(1(1(2(z0)))), 1'(1(2(z0))), 1'(2(z0)))
   0'(c_0(c_1(2(2(c_1(c_1(c_0(2(2(2(c_0(c_1(c_1(c_1(c_1(c_0(c_1(2(c_1(z0)))))))))))))))))))) -> c90(0'(1(2(2(0(1(1(1(2(0(2(0(0(1(2(0(2(1(2(0(z0)))))))))))))))))))), 1'(2(2(0(1(1(1(2(0(2(0(0(1(2(0(2(1(2(0(z0))))))))))))))))))), 0'(1(1(1(2(0(2(0(0(1(2(0(2(1(2(0(z0)))))))))))))))), 1'(1(1(2(0(2(0(0(1(2(0(2(1(2(0(z0))))))))))))))), 1'(1(2(0(2(0(0(1(2(0(2(1(2(0(z0)))))))))))))), 1'(2(0(2(0(0(1(2(0(2(1(2(0(z0))))))))))))), 0'(2(0(0(1(2(0(2(1(2(0(z0))))))))))), 0'(0(1(2(0(2(1(2(0(z0))))))))), 0'(1(2(0(2(1(2(0(z0)))))))), 1'(2(0(2(1(2(0(z0))))))), 0'(2(1(2(0(z0))))), 1'(2(0(z0))), 0'(z0))
   0'(c_1(c_1(2(c_0(2(c_0(2(2(c_1(c_1(2(c_0(c_1(2(2(c_0(c_1(c_0(c_0(z0)))))))))))))))))))) -> c91(0'(1(2(0(0(0(2(1(2(0(1(2(2(2(2(0(1(1(0(1(z0)))))))))))))))))))), 1'(2(0(0(0(2(1(2(0(1(2(2(2(2(0(1(1(0(1(z0))))))))))))))))))), 0'(0(0(2(1(2(0(1(2(2(2(2(0(1(1(0(1(z0))))))))))))))))), 0'(0(2(1(2(0(1(2(2(2(2(0(1(1(0(1(z0)))))))))))))))), 0'(2(1(2(0(1(2(2(2(2(0(1(1(0(1(z0))))))))))))))), 1'(2(0(1(2(2(2(2(0(1(1(0(1(z0))))))))))))), 0'(1(2(2(2(2(0(1(1(0(1(z0))))))))))), 1'(2(2(2(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))
   0'(2(c_1(c_1(2(c_0(2(2(2(c_0(c_1(2(c_0(2(c_0(2(2(c_0(c_0(c_1(z0)))))))))))))))))))) -> c92(0'(0(2(1(2(0(0(0(2(0(1(2(2(2(1(0(1(1(1(0(z0)))))))))))))))))))), 0'(2(1(2(0(0(0(2(0(1(2(2(2(1(0(1(1(1(0(z0))))))))))))))))))), 1'(2(0(0(0(2(0(1(2(2(2(1(0(1(1(1(0(z0))))))))))))))))), 0'(0(0(2(0(1(2(2(2(1(0(1(1(1(0(z0))))))))))))))), 0'(0(2(0(1(2(2(2(1(0(1(1(1(0(z0)))))))))))))), 0'(2(0(1(2(2(2(1(0(1(1(1(0(z0))))))))))))), 0'(1(2(2(2(1(0(1(1(1(0(z0))))))))))), 1'(2(2(2(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))
   0'(c_1(c_0(c_1(c_0(c_1(c_1(c_0(c_0(c_0(c_1(c_0(2(c_1(c_1(2(c_0(c_1(c_0(c_1(z0)))))))))))))))))))) -> c93(0'(0(2(1(1(0(0(2(0(2(1(0(1(1(0(2(2(0(1(2(z0)))))))))))))))))))), 0'(2(1(1(0(0(2(0(2(1(0(1(1(0(2(2(0(1(2(z0))))))))))))))))))), 1'(1(0(0(2(0(2(1(0(1(1(0(2(2(0(1(2(z0))))))))))))))))), 1'(0(0(2(0(2(1(0(1(1(0(2(2(0(1(2(z0)))))))))))))))), 0'(0(2(0(2(1(0(1(1(0(2(2(0(1(2(z0))))))))))))))), 0'(2(0(2(1(0(1(1(0(2(2(0(1(2(z0)))))))))))))), 0'(2(1(0(1(1(0(2(2(0(1(2(z0)))))))))))), 1'(0(1(1(0(2(2(0(1(2(z0)))))))))), 0'(1(1(0(2(2(0(1(2(z0))))))))), 1'(1(0(2(2(0(1(2(z0)))))))), 1'(0(2(2(0(1(2(z0))))))), 0'(2(2(0(1(2(z0)))))), 0'(1(2(z0))), 1'(2(z0)))
   0'(c_0(c_1(2(2(c_0(c_1(c_1(2(c_0(c_0(2(2(c_1(c_0(2(c_1(2(c_1(c_0(z0)))))))))))))))))))) -> c94(0'(2(2(0(2(0(2(1(0(2(0(0(2(2(1(0(0(0(2(0(z0)))))))))))))))))))), 0'(2(0(2(1(0(2(0(0(2(2(1(0(0(0(2(0(z0))))))))))))))))), 0'(2(1(0(2(0(0(2(2(1(0(0(0(2(0(z0))))))))))))))), 1'(0(2(0(0(2(2(1(0(0(0(2(0(z0))))))))))))), 0'(2(0(0(2(2(1(0(0(0(2(0(z0)))))))))))), 0'(0(2(2(1(0(0(0(2(0(z0)))))))))), 0'(2(2(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))), 0'(z0))
   0'(c_0(c_0(2(2(c_1(c_1(2(2(c_0(c_0(2(c_1(2(c_0(c_1(c_1(c_0(2(2(z0)))))))))))))))))))) -> c95(0'(2(2(2(1(0(0(2(1(2(1(2(1(2(1(1(1(2(0(2(z0)))))))))))))))))))), 1'(0(0(2(1(2(1(2(1(2(1(1(1(2(0(2(z0)))))))))))))))), 0'(0(2(1(2(1(2(1(2(1(1(1(2(0(2(z0))))))))))))))), 0'(2(1(2(1(2(1(2(1(1(1(2(0(2(z0)))))))))))))), 1'(2(1(2(1(2(1(1(1(2(0(2(z0)))))))))))), 1'(2(1(2(1(1(1(2(0(2(z0)))))))))), 1'(2(1(1(1(2(0(2(z0)))))))), 1'(1(1(2(0(2(z0)))))), 1'(1(2(0(2(z0))))), 1'(2(0(2(z0)))), 0'(2(z0)))
   0'(c_1(2(c_1(c_0(c_1(2(2(c_1(c_1(c_0(c_0(c_1(c_1(2(2(c_1(c_0(c_1(c_1(z0)))))))))))))))))))) -> c96(0'(2(2(2(0(2(0(2(0(1(2(1(2(2(2(1(0(0(1(0(z0)))))))))))))))))))), 0'(2(0(2(0(1(2(1(2(2(2(1(0(0(1(0(z0)))))))))))))))), 0'(2(0(1(2(1(2(2(2(1(0(0(1(0(z0)))))))))))))), 0'(1(2(1(2(2(2(1(0(0(1(0(z0)))))))))))), 1'(2(1(2(2(2(1(0(0(1(0(z0))))))))))), 1'(2(2(2(1(0(0(1(0(z0))))))))), 1'(0(0(1(0(z0))))), 0'(0(1(0(z0)))), 0'(1(0(z0))), 1'(0(z0)), 0'(z0))
   0'(2(2(c_1(c_1(2(2(c_1(c_0(2(c_1(2(c_1(c_1(2(2(2(c_0(2(c_0(z0)))))))))))))))))))) -> c97(0'(2(1(2(2(2(1(0(0(1(0(0(0(1(2(1(1(2(2(1(z0)))))))))))))))))))), 1'(2(2(2(1(0(0(1(0(0(0(1(2(1(1(2(2(1(z0)))))))))))))))))), 1'(0(0(1(0(0(0(1(2(1(1(2(2(1(z0)))))))))))))), 0'(0(1(0(0(0(1(2(1(1(2(2(1(z0))))))))))))), 0'(1(0(0(0(1(2(1(1(2(2(1(z0)))))))))))), 1'(0(0(0(1(2(1(1(2(2(1(z0))))))))))), 0'(0(0(1(2(1(1(2(2(1(z0)))))))))), 0'(0(1(2(1(1(2(2(1(z0))))))))), 0'(1(2(1(1(2(2(1(z0)))))))), 1'(2(1(1(2(2(1(z0))))))), 1'(1(2(2(1(z0))))), 1'(2(2(1(z0)))), 1'(z0))
   0'(c_1(c_1(c_1(2(2(c_1(2(c_1(c_1(c_1(c_0(c_0(c_1(c_1(c_1(2(c_1(c_1(c_0(z0)))))))))))))))))))) -> c98(0'(0(1(0(2(0(1(1(1(2(0(2(1(2(2(0(2(1(2(1(z0)))))))))))))))))))), 0'(1(0(2(0(1(1(1(2(0(2(1(2(2(0(2(1(2(1(z0))))))))))))))))))), 1'(0(2(0(1(1(1(2(0(2(1(2(2(0(2(1(2(1(z0)))))))))))))))))), 0'(2(0(1(1(1(2(0(2(1(2(2(0(2(1(2(1(z0))))))))))))))))), 0'(1(1(1(2(0(2(1(2(2(0(2(1(2(1(z0))))))))))))))), 1'(1(1(2(0(2(1(2(2(0(2(1(2(1(z0)))))))))))))), 1'(1(2(0(2(1(2(2(0(2(1(2(1(z0))))))))))))), 1'(2(0(2(1(2(2(0(2(1(2(1(z0)))))))))))), 0'(2(1(2(2(0(2(1(2(1(z0)))))))))), 1'(2(2(0(2(1(2(1(z0)))))))), 0'(2(1(2(1(z0))))), 1'(2(1(z0))), 1'(z0))
   0'(c_0(2(c_0(c_1(c_1(2(c_0(2(c_1(c_0(2(2(c_1(c_1(c_0(c_1(2(c_0(c_1(z0)))))))))))))))))))) -> c99(0'(1(2(0(2(0(1(0(1(2(1(0(0(2(2(1(0(1(0(1(z0)))))))))))))))))))), 1'(2(0(2(0(1(0(1(2(1(0(0(2(2(1(0(1(0(1(z0))))))))))))))))))), 0'(2(0(1(0(1(2(1(0(0(2(2(1(0(1(0(1(z0))))))))))))))))), 0'(1(0(1(2(1(0(0(2(2(1(0(1(0(1(z0))))))))))))))), 1'(0(1(2(1(0(0(2(2(1(0(1(0(1(z0)))))))))))))), 0'(1(2(1(0(0(2(2(1(0(1(0(1(z0))))))))))))), 1'(2(1(0(0(2(2(1(0(1(0(1(z0)))))))))))), 1'(0(0(2(2(1(0(1(0(1(z0)))))))))), 0'(0(2(2(1(0(1(0(1(z0))))))))), 0'(2(2(1(0(1(0(1(z0)))))))), 1'(0(1(0(1(z0))))), 0'(1(0(1(z0)))), 1'(0(1(z0))), 0'(1(z0)), 1'(z0))
   0'(c_1(c_1(2(2(2(2(c_1(c_0(2(c_0(c_0(c_1(2(2(c_1(2(2(2(2(z0)))))))))))))))))))) -> c100(0'(1(0(0(2(0(0(1(2(1(2(0(1(2(2(1(0(2(0(2(z0)))))))))))))))))))), 1'(0(0(2(0(0(1(2(1(2(0(1(2(2(1(0(2(0(2(z0))))))))))))))))))), 0'(0(2(0(0(1(2(1(2(0(1(2(2(1(0(2(0(2(z0)))))))))))))))))), 0'(2(0(0(1(2(1(2(0(1(2(2(1(0(2(0(2(z0))))))))))))))))), 0'(0(1(2(1(2(0(1(2(2(1(0(2(0(2(z0))))))))))))))), 0'(1(2(1(2(0(1(2(2(1(0(2(0(2(z0)))))))))))))), 1'(2(1(2(0(1(2(2(1(0(2(0(2(z0))))))))))))), 1'(2(0(1(2(2(1(0(2(0(2(z0))))))))))), 0'(1(2(2(1(0(2(0(2(z0))))))))), 1'(2(2(1(0(2(0(2(z0)))))))), 1'(0(2(0(2(z0))))), 0'(2(0(2(z0)))), 0'(2(z0)))
   0'(2(c_0(c_1(2(c_1(c_1(c_1(c_1(2(c_0(2(c_1(2(c_0(c_1(2(2(c_0(c_1(z0)))))))))))))))))))) -> c101(0'(1(1(1(1(2(1(0(0(1(1(0(2(1(0(0(2(0(0(1(z0)))))))))))))))))))), 1'(1(1(1(2(1(0(0(1(1(0(2(1(0(0(2(0(0(1(z0))))))))))))))))))), 1'(1(1(2(1(0(0(1(1(0(2(1(0(0(2(0(0(1(z0)))))))))))))))))), 1'(1(2(1(0(0(1(1(0(2(1(0(0(2(0(0(1(z0))))))))))))))))), 1'(2(1(0(0(1(1(0(2(1(0(0(2(0(0(1(z0)))))))))))))))), 1'(0(0(1(1(0(2(1(0(0(2(0(0(1(z0)))))))))))))), 0'(0(1(1(0(2(1(0(0(2(0(0(1(z0))))))))))))), 0'(1(1(0(2(1(0(0(2(0(0(1(z0)))))))))))), 1'(1(0(2(1(0(0(2(0(0(1(z0))))))))))), 1'(0(2(1(0(0(2(0(0(1(z0)))))))))), 0'(2(1(0(0(2(0(0(1(z0))))))))), 1'(0(0(2(0(0(1(z0))))))), 0'(0(2(0(0(1(z0)))))), 0'(2(0(0(1(z0))))), 0'(0(1(z0))), 0'(1(z0)), 1'(z0))
   0'(c_1(c_0(c_1(c_1(2(c_1(c_0(c_0(c_0(2(2(2(c_1(2(c_1(2(c_1(c_0(2(z0)))))))))))))))))))) -> c102(0'(1(0(0(2(2(1(2(1(0(1(0(0(0(2(0(0(2(1(2(z0)))))))))))))))))))), 1'(0(0(2(2(1(2(1(0(1(0(0(0(2(0(0(2(1(2(z0))))))))))))))))))), 0'(0(2(2(1(2(1(0(1(0(0(0(2(0(0(2(1(2(z0)))))))))))))))))), 0'(2(2(1(2(1(0(1(0(0(0(2(0(0(2(1(2(z0))))))))))))))))), 1'(2(1(0(1(0(0(0(2(0(0(2(1(2(z0)))))))))))))), 1'(0(1(0(0(0(2(0(0(2(1(2(z0)))))))))))), 0'(1(0(0(0(2(0(0(2(1(2(z0))))))))))), 1'(0(0(0(2(0(0(2(1(2(z0)))))))))), 0'(0(0(2(0(0(2(1(2(z0))))))))), 0'(0(2(0(0(2(1(2(z0)))))))), 0'(2(0(0(2(1(2(z0))))))), 0'(0(2(1(2(z0))))), 0'(2(1(2(z0)))), 1'(2(z0)))
   0'(c_0(c_1(c_0(2(c_1(2(2(2(2(c_0(c_1(2(c_0(c_1(c_1(2(2(c_0(2(z0)))))))))))))))))))) -> c103(0'(0(2(1(1(0(0(2(2(2(0(1(2(2(0(1(2(2(0(2(z0)))))))))))))))))))), 0'(2(1(1(0(0(2(2(2(0(1(2(2(0(1(2(2(0(2(z0))))))))))))))))))), 1'(1(0(0(2(2(2(0(1(2(2(0(1(2(2(0(2(z0))))))))))))))))), 1'(0(0(2(2(2(0(1(2(2(0(1(2(2(0(2(z0)))))))))))))))), 0'(0(2(2(2(0(1(2(2(0(1(2(2(0(2(z0))))))))))))))), 0'(2(2(2(0(1(2(2(0(1(2(2(0(2(z0)))))))))))))), 0'(1(2(2(0(1(2(2(0(2(z0)))))))))), 1'(2(2(0(1(2(2(0(2(z0))))))))), 0'(1(2(2(0(2(z0)))))), 1'(2(2(0(2(z0))))), 0'(2(z0)))
   0'(c_1(c_1(c_0(c_1(2(c_1(2(c_0(2(2(c_1(c_0(c_0(2(c_0(c_1(c_0(c_1(c_1(z0)))))))))))))))))))) -> c104(0'(0(0(1(2(0(2(2(2(0(1(0(1(2(1(1(1(0(2(0(z0)))))))))))))))))))), 0'(0(1(2(0(2(2(2(0(1(0(1(2(1(1(1(0(2(0(z0))))))))))))))))))), 0'(1(2(0(2(2(2(0(1(0(1(2(1(1(1(0(2(0(z0)))))))))))))))))), 1'(2(0(2(2(2(0(1(0(1(2(1(1(1(0(2(0(z0))))))))))))))))), 0'(2(2(2(0(1(0(1(2(1(1(1(0(2(0(z0))))))))))))))), 0'(1(0(1(2(1(1(1(0(2(0(z0))))))))))), 1'(0(1(2(1(1(1(0(2(0(z0)))))))))), 0'(1(2(1(1(1(0(2(0(z0))))))))), 1'(2(1(1(1(0(2(0(z0)))))))), 1'(1(1(0(2(0(z0)))))), 1'(1(0(2(0(z0))))), 1'(0(2(0(z0)))), 0'(2(0(z0))), 0'(z0))
   1'(z0) -> c105
   1'(2(2(c_0(2(c_0(2(c_1(2(c_1(2(c_1(c_0(c_0(c_1(c_0(c_0(2(c_0(c_1(z0)))))))))))))))))))) -> c106(1'(0(1(2(0(1(0(0(1(0(0(0(2(1(0(0(1(0(0(2(z0)))))))))))))))))))), 0'(1(2(0(1(0(0(1(0(0(0(2(1(0(0(1(0(0(2(z0))))))))))))))))))), 1'(2(0(1(0(0(1(0(0(0(2(1(0(0(1(0(0(2(z0)))))))))))))))))), 0'(1(0(0(1(0(0(0(2(1(0(0(1(0(0(2(z0)))))))))))))))), 1'(0(0(1(0(0(0(2(1(0(0(1(0(0(2(z0))))))))))))))), 0'(0(1(0(0(0(2(1(0(0(1(0(0(2(z0)))))))))))))), 0'(1(0(0(0(2(1(0(0(1(0(0(2(z0))))))))))))), 1'(0(0(0(2(1(0(0(1(0(0(2(z0)))))))))))), 0'(0(0(2(1(0(0(1(0(0(2(z0))))))))))), 0'(0(2(1(0(0(1(0(0(2(z0)))))))))), 0'(2(1(0(0(1(0(0(2(z0))))))))), 1'(0(0(1(0(0(2(z0))))))), 0'(0(1(0(0(2(z0)))))), 0'(1(0(0(2(z0))))), 1'(0(0(2(z0)))), 0'(0(2(z0))), 0'(2(z0)))
S tuples:
   0'(c_0(c_1(c_0(2(2(c_1(2(c_0(c_0(c_1(c_1(2(2(2(c_1(c_1(2(c_1(c_1(z0)))))))))))))))))))) -> c7(0'(2(0(2(2(0(0(1(2(0(2(0(0(1(1(0(0(2(1(1(z0)))))))))))))))))))), 0'(2(2(0(0(1(2(0(2(0(0(1(1(0(0(2(1(1(z0)))))))))))))))))), 0'(0(1(2(0(2(0(0(1(1(0(0(2(1(1(z0))))))))))))))), 0'(1(2(0(2(0(0(1(1(0(0(2(1(1(z0)))))))))))))), 1'(2(0(2(0(0(1(1(0(0(2(1(1(z0))))))))))))), 0'(2(0(0(1(1(0(0(2(1(1(z0))))))))))), 0'(0(1(1(0(0(2(1(1(z0))))))))), 0'(1(1(0(0(2(1(1(z0)))))))), 1'(1(0(0(2(1(1(z0))))))), 1'(0(0(2(1(1(z0)))))), 0'(0(2(1(1(z0))))), 0'(2(1(1(z0)))), 1'(1(z0)), 1'(z0))
   0'(c_1(c_0(c_1(2(c_1(c_1(c_1(c_0(c_0(c_1(c_1(2(2(2(c_0(2(c_0(c_1(2(z0)))))))))))))))))))) -> c8(0'(2(1(1(2(1(0(2(0(1(1(0(2(0(1(0(2(2(0(2(z0)))))))))))))))))))), 1'(1(2(1(0(2(0(1(1(0(2(0(1(0(2(2(0(2(z0)))))))))))))))))), 1'(2(1(0(2(0(1(1(0(2(0(1(0(2(2(0(2(z0))))))))))))))))), 1'(0(2(0(1(1(0(2(0(1(0(2(2(0(2(z0))))))))))))))), 0'(2(0(1(1(0(2(0(1(0(2(2(0(2(z0)))))))))))))), 0'(1(1(0(2(0(1(0(2(2(0(2(z0)))))))))))), 1'(1(0(2(0(1(0(2(2(0(2(z0))))))))))), 1'(0(2(0(1(0(2(2(0(2(z0)))))))))), 0'(2(0(1(0(2(2(0(2(z0))))))))), 0'(1(0(2(2(0(2(z0))))))), 1'(0(2(2(0(2(z0)))))), 0'(2(2(0(2(z0))))), 0'(2(z0)))
   0'(2(c_1(c_1(c_1(c_0(2(c_1(c_1(c_0(c_1(c_0(2(2(c_0(c_0(2(c_0(2(c_1(z0)))))))))))))))))))) -> c9(0'(1(0(1(2(2(2(1(1(0(2(2(1(2(0(0(0(0(2(1(z0)))))))))))))))))))), 1'(0(1(2(2(2(1(1(0(2(2(1(2(0(0(0(0(2(1(z0))))))))))))))))))), 0'(1(2(2(2(1(1(0(2(2(1(2(0(0(0(0(2(1(z0)))))))))))))))))), 1'(2(2(2(1(1(0(2(2(1(2(0(0(0(0(2(1(z0))))))))))))))))), 1'(1(0(2(2(1(2(0(0(0(0(2(1(z0))))))))))))), 1'(0(2(2(1(2(0(0(0(0(2(1(z0)))))))))))), 0'(2(2(1(2(0(0(0(0(2(1(z0))))))))))), 1'(2(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))), 1'(z0))
   0'(c_1(c_0(2(2(c_1(c_1(c_0(c_1(c_0(2(2(c_1(c_0(2(c_0(c_1(c_0(c_1(c_1(z0)))))))))))))))))))) -> c10(0'(1(2(0(0(2(2(0(0(0(0(2(1(2(1(0(1(2(0(2(z0)))))))))))))))))))), 1'(2(0(0(2(2(0(0(0(0(2(1(2(1(0(1(2(0(2(z0))))))))))))))))))), 0'(0(2(2(0(0(0(0(2(1(2(1(0(1(2(0(2(z0))))))))))))))))), 0'(2(2(0(0(0(0(2(1(2(1(0(1(2(0(2(z0)))))))))))))))), 0'(0(0(0(2(1(2(1(0(1(2(0(2(z0))))))))))))), 0'(0(0(2(1(2(1(0(1(2(0(2(z0)))))))))))), 0'(0(2(1(2(1(0(1(2(0(2(z0))))))))))), 0'(2(1(2(1(0(1(2(0(2(z0)))))))))), 1'(2(1(0(1(2(0(2(z0)))))))), 1'(0(1(2(0(2(z0)))))), 0'(1(2(0(2(z0))))), 1'(2(0(2(z0)))), 0'(2(z0)))
   0'(2(c_1(2(c_0(c_1(c_1(c_1(2(c_0(c_1(c_1(2(c_1(2(c_0(2(c_0(2(c_0(z0)))))))))))))))))))) -> c11(0'(1(2(1(1(0(1(1(2(1(2(0(1(0(1(2(2(0(2(2(z0)))))))))))))))))))), 1'(2(1(1(0(1(1(2(1(2(0(1(0(1(2(2(0(2(2(z0))))))))))))))))))), 1'(1(0(1(1(2(1(2(0(1(0(1(2(2(0(2(2(z0))))))))))))))))), 1'(0(1(1(2(1(2(0(1(0(1(2(2(0(2(2(z0)))))))))))))))), 0'(1(1(2(1(2(0(1(0(1(2(2(0(2(2(z0))))))))))))))), 1'(1(2(1(2(0(1(0(1(2(2(0(2(2(z0)))))))))))))), 1'(2(1(2(0(1(0(1(2(2(0(2(2(z0))))))))))))), 1'(2(0(1(0(1(2(2(0(2(2(z0))))))))))), 0'(1(0(1(2(2(0(2(2(z0))))))))), 1'(0(1(2(2(0(2(2(z0)))))))), 0'(1(2(2(0(2(2(z0))))))), 1'(2(2(0(2(2(z0)))))), 0'(2(2(z0))))
   0'(c_0(c_1(c_0(c_0(c_1(c_1(2(c_1(c_1(2(2(c_1(c_1(2(2(c_1(c_1(c_0(2(z0)))))))))))))))))))) -> c12(0'(1(1(0(0(2(0(0(2(0(2(1(1(1(1(1(0(2(0(2(z0)))))))))))))))))))), 1'(1(0(0(2(0(0(2(0(2(1(1(1(1(1(0(2(0(2(z0))))))))))))))))))), 1'(0(0(2(0(0(2(0(2(1(1(1(1(1(0(2(0(2(z0)))))))))))))))))), 0'(0(2(0(0(2(0(2(1(1(1(1(1(0(2(0(2(z0))))))))))))))))), 0'(2(0(0(2(0(2(1(1(1(1(1(0(2(0(2(z0)))))))))))))))), 0'(0(2(0(2(1(1(1(1(1(0(2(0(2(z0)))))))))))))), 0'(2(0(2(1(1(1(1(1(0(2(0(2(z0))))))))))))), 0'(2(1(1(1(1(1(0(2(0(2(z0))))))))))), 1'(1(1(1(1(0(2(0(2(z0))))))))), 1'(1(1(1(0(2(0(2(z0)))))))), 1'(1(1(0(2(0(2(z0))))))), 1'(1(0(2(0(2(z0)))))), 1'(0(2(0(2(z0))))), 0'(2(0(2(z0)))), 0'(2(z0)))
   0'(c_1(c_1(c_0(c_1(c_0(2(c_1(c_1(2(2(c_0(2(c_0(2(c_0(2(2(c_0(c_1(z0)))))))))))))))))))) -> c13(0'(2(0(2(1(0(0(1(2(2(1(2(2(1(2(2(1(2(2(0(z0)))))))))))))))))))), 0'(2(1(0(0(1(2(2(1(2(2(1(2(2(1(2(2(0(z0)))))))))))))))))), 1'(0(0(1(2(2(1(2(2(1(2(2(1(2(2(0(z0)))))))))))))))), 0'(0(1(2(2(1(2(2(1(2(2(1(2(2(0(z0))))))))))))))), 0'(1(2(2(1(2(2(1(2(2(1(2(2(0(z0)))))))))))))), 1'(2(2(1(2(2(1(2(2(1(2(2(0(z0))))))))))))), 1'(2(2(1(2(2(1(2(2(0(z0)))))))))), 1'(2(2(1(2(2(0(z0))))))), 1'(2(2(0(z0)))), 0'(z0))
   0'(c_1(c_0(c_1(c_1(c_1(c_1(2(c_0(2(2(2(2(2(2(c_1(c_0(2(c_0(c_1(z0)))))))))))))))))))) -> c14(0'(0(0(2(2(1(0(0(1(2(1(0(2(2(1(0(0(2(2(1(z0)))))))))))))))))))), 0'(0(2(2(1(0(0(1(2(1(0(2(2(1(0(0(2(2(1(z0))))))))))))))))))), 0'(2(2(1(0(0(1(2(1(0(2(2(1(0(0(2(2(1(z0)))))))))))))))))), 1'(0(0(1(2(1(0(2(2(1(0(0(2(2(1(z0))))))))))))))), 0'(0(1(2(1(0(2(2(1(0(0(2(2(1(z0)))))))))))))), 0'(1(2(1(0(2(2(1(0(0(2(2(1(z0))))))))))))), 1'(2(1(0(2(2(1(0(0(2(2(1(z0)))))))))))), 1'(0(2(2(1(0(0(2(2(1(z0)))))))))), 0'(2(2(1(0(0(2(2(1(z0))))))))), 1'(0(0(2(2(1(z0)))))), 0'(0(2(2(1(z0))))), 0'(2(2(1(z0)))), 1'(z0))
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   0'(2(c_0(c_1(c_1(c_1(c_0(c_1(2(2(c_0(2(c_0(2(c_0(2(c_1(2(c_0(c_1(z0)))))))))))))))))))) -> c22(0'(2(2(0(1(2(2(2(2(1(0(2(1(2(0(0(2(2(2(1(z0)))))))))))))))))))), 0'(1(2(2(2(2(1(0(2(1(2(0(0(2(2(2(1(z0))))))))))))))))), 1'(2(2(2(2(1(0(2(1(2(0(0(2(2(2(1(z0)))))))))))))))), 1'(0(2(1(2(0(0(2(2(2(1(z0))))))))))), 0'(2(1(2(0(0(2(2(2(1(z0)))))))))), 1'(2(0(0(2(2(2(1(z0)))))))), 0'(0(2(2(2(1(z0)))))), 0'(2(2(2(1(z0))))), 1'(z0))
   0'(c_0(2(c_1(c_0(c_1(c_0(c_0(2(c_0(c_1(c_1(c_0(2(c_0(2(2(2(2(c_0(z0)))))))))))))))))))) -> c23(0'(2(2(0(0(0(2(1(0(0(0(1(1(2(0(1(1(0(0(0(z0)))))))))))))))))))), 0'(0(0(2(1(0(0(0(1(1(2(0(1(1(0(0(0(z0))))))))))))))))), 0'(0(2(1(0(0(0(1(1(2(0(1(1(0(0(0(z0)))))))))))))))), 0'(2(1(0(0(0(1(1(2(0(1(1(0(0(0(z0))))))))))))))), 1'(0(0(0(1(1(2(0(1(1(0(0(0(z0))))))))))))), 0'(0(0(1(1(2(0(1(1(0(0(0(z0)))))))))))), 0'(0(1(1(2(0(1(1(0(0(0(z0))))))))))), 0'(1(1(2(0(1(1(0(0(0(z0)))))))))), 1'(1(2(0(1(1(0(0(0(z0))))))))), 1'(2(0(1(1(0(0(0(z0)))))))), 0'(1(1(0(0(0(z0)))))), 1'(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(2(2(c_0(c_1(2(2(2(c_0(2(2(c_1(2(c_1(2(c_1(c_0(z0)))))))))))))))))))) -> c24(0'(0(2(0(0(2(0(2(1(0(2(2(2(0(0(0(2(1(1(2(z0)))))))))))))))))))), 0'(2(0(0(2(0(2(1(0(2(2(2(0(0(0(2(1(1(2(z0))))))))))))))))))), 0'(0(2(0(2(1(0(2(2(2(0(0(0(2(1(1(2(z0))))))))))))))))), 0'(2(0(2(1(0(2(2(2(0(0(0(2(1(1(2(z0)))))))))))))))), 0'(2(1(0(2(2(2(0(0(0(2(1(1(2(z0)))))))))))))), 1'(0(2(2(2(0(0(0(2(1(1(2(z0)))))))))))), 0'(2(2(2(0(0(0(2(1(1(2(z0))))))))))), 0'(0(0(2(1(1(2(z0))))))), 0'(0(2(1(1(2(z0)))))), 0'(2(1(1(2(z0))))), 1'(1(2(z0))), 1'(2(z0)))
   0'(c_1(c_0(2(c_0(c_0(c_1(2(2(2(c_1(2(2(2(c_0(c_0(c_0(c_1(2(2(z0)))))))))))))))))))) -> c25(0'(1(0(1(1(2(1(0(0(1(0(0(2(2(2(1(0(2(0(0(z0)))))))))))))))))))), 1'(0(1(1(2(1(0(0(1(0(0(2(2(2(1(0(2(0(0(z0))))))))))))))))))), 0'(1(1(2(1(0(0(1(0(0(2(2(2(1(0(2(0(0(z0)))))))))))))))))), 1'(1(2(1(0(0(1(0(0(2(2(2(1(0(2(0(0(z0))))))))))))))))), 1'(2(1(0(0(1(0(0(2(2(2(1(0(2(0(0(z0)))))))))))))))), 1'(0(0(1(0(0(2(2(2(1(0(2(0(0(z0)))))))))))))), 0'(0(1(0(0(2(2(2(1(0(2(0(0(z0))))))))))))), 0'(1(0(0(2(2(2(1(0(2(0(0(z0)))))))))))), 1'(0(0(2(2(2(1(0(2(0(0(z0))))))))))), 0'(0(2(2(2(1(0(2(0(0(z0)))))))))), 0'(2(2(2(1(0(2(0(0(z0))))))))), 1'(0(2(0(0(z0))))), 0'(2(0(0(z0)))), 0'(0(z0)), 0'(z0))
   0'(c_1(c_1(2(c_1(c_1(c_1(c_1(c_0(c_0(c_0(c_0(c_1(c_1(c_0(c_1(c_0(c_1(c_1(c_0(z0)))))))))))))))))))) -> c26(0'(0(0(1(0(1(0(1(1(1(2(0(1(2(2(0(2(2(0(2(z0)))))))))))))))))))), 0'(0(1(0(1(0(1(1(1(2(0(1(2(2(0(2(2(0(2(z0))))))))))))))))))), 0'(1(0(1(0(1(1(1(2(0(1(2(2(0(2(2(0(2(z0)))))))))))))))))), 1'(0(1(0(1(1(1(2(0(1(2(2(0(2(2(0(2(z0))))))))))))))))), 0'(1(0(1(1(1(2(0(1(2(2(0(2(2(0(2(z0)))))))))))))))), 1'(0(1(1(1(2(0(1(2(2(0(2(2(0(2(z0))))))))))))))), 0'(1(1(1(2(0(1(2(2(0(2(2(0(2(z0)))))))))))))), 1'(1(1(2(0(1(2(2(0(2(2(0(2(z0))))))))))))), 1'(1(2(0(1(2(2(0(2(2(0(2(z0)))))))))))), 1'(2(0(1(2(2(0(2(2(0(2(z0))))))))))), 0'(1(2(2(0(2(2(0(2(z0))))))))), 1'(2(2(0(2(2(0(2(z0)))))))), 0'(2(2(0(2(z0))))), 0'(2(z0)))
   0'(c_0(2(c_0(c_0(c_0(2(c_1(2(2(2(c_1(c_1(c_1(c_0(2(c_1(c_1(c_0(c_0(z0)))))))))))))))))))) -> c27(0'(2(0(1(2(0(1(2(0(1(0(1(2(2(1(2(1(0(0(0(z0)))))))))))))))))))), 0'(1(2(0(1(2(0(1(0(1(2(2(1(2(1(0(0(0(z0)))))))))))))))))), 1'(2(0(1(2(0(1(0(1(2(2(1(2(1(0(0(0(z0))))))))))))))))), 0'(1(2(0(1(0(1(2(2(1(2(1(0(0(0(z0))))))))))))))), 1'(2(0(1(0(1(2(2(1(2(1(0(0(0(z0)))))))))))))), 0'(1(0(1(2(2(1(2(1(0(0(0(z0)))))))))))), 1'(0(1(2(2(1(2(1(0(0(0(z0))))))))))), 0'(1(2(2(1(2(1(0(0(0(z0)))))))))), 1'(2(2(1(2(1(0(0(0(z0))))))))), 1'(2(1(0(0(0(z0)))))), 1'(0(0(0(z0)))), 0'(0(0(z0))), 0'(0(z0)), 0'(z0))
   0'(c_1(c_0(2(c_1(c_1(c_1(c_0(2(2(c_1(c_1(c_1(c_1(2(c_0(2(c_1(c_0(c_0(z0)))))))))))))))))))) -> c28(0'(2(1(0(2(0(0(1(2(2(0(0(0(1(1(1(1(0(2(2(z0)))))))))))))))))))), 1'(0(2(0(0(1(2(2(0(0(0(1(1(1(1(0(2(2(z0)))))))))))))))))), 0'(2(0(0(1(2(2(0(0(0(1(1(1(1(0(2(2(z0))))))))))))))))), 0'(0(1(2(2(0(0(0(1(1(1(1(0(2(2(z0))))))))))))))), 0'(1(2(2(0(0(0(1(1(1(1(0(2(2(z0)))))))))))))), 1'(2(2(0(0(0(1(1(1(1(0(2(2(z0))))))))))))), 0'(0(0(1(1(1(1(0(2(2(z0)))))))))), 0'(0(1(1(1(1(0(2(2(z0))))))))), 0'(1(1(1(1(0(2(2(z0)))))))), 1'(1(1(1(0(2(2(z0))))))), 1'(1(1(0(2(2(z0)))))), 1'(1(0(2(2(z0))))), 1'(0(2(2(z0)))), 0'(2(2(z0))))
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   0'(2(c_1(c_1(c_1(c_1(c_0(c_0(c_0(c_0(2(c_1(2(c_0(c_0(2(c_1(c_0(2(c_1(z0)))))))))))))))))))) -> c56(0'(0(0(1(0(1(1(2(0(2(0(0(2(2(2(2(1(0(2(1(z0)))))))))))))))))))), 0'(0(1(0(1(1(2(0(2(0(0(2(2(2(2(1(0(2(1(z0))))))))))))))))))), 0'(1(0(1(1(2(0(2(0(0(2(2(2(2(1(0(2(1(z0)))))))))))))))))), 1'(0(1(1(2(0(2(0(0(2(2(2(2(1(0(2(1(z0))))))))))))))))), 0'(1(1(2(0(2(0(0(2(2(2(2(1(0(2(1(z0)))))))))))))))), 1'(1(2(0(2(0(0(2(2(2(2(1(0(2(1(z0))))))))))))))), 1'(2(0(2(0(0(2(2(2(2(1(0(2(1(z0)))))))))))))), 0'(2(0(0(2(2(2(2(1(0(2(1(z0)))))))))))), 0'(0(2(2(2(2(1(0(2(1(z0)))))))))), 0'(2(2(2(2(1(0(2(1(z0))))))))), 1'(0(2(1(z0)))), 0'(2(1(z0))), 1'(z0))
   0'(c_1(c_0(c_0(2(2(c_0(c_1(2(2(c_1(2(c_1(c_0(c_1(2(2(2(c_1(c_0(z0)))))))))))))))))))) -> c57(0'(0(2(2(0(2(2(2(1(0(2(1(2(0(2(2(0(0(2(2(z0)))))))))))))))))))), 0'(2(2(0(2(2(2(1(0(2(1(2(0(2(2(0(0(2(2(z0))))))))))))))))))), 0'(2(2(2(1(0(2(1(2(0(2(2(0(0(2(2(z0)))))))))))))))), 1'(0(2(1(2(0(2(2(0(0(2(2(z0)))))))))))), 0'(2(1(2(0(2(2(0(0(2(2(z0))))))))))), 1'(2(0(2(2(0(0(2(2(z0))))))))), 0'(2(2(0(0(2(2(z0))))))), 0'(0(2(2(z0)))), 0'(2(2(z0))))
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   0'(c_0(2(2(c_0(c_1(c_0(2(c_1(2(c_1(c_1(2(2(2(c_1(c_1(2(c_0(2(z0)))))))))))))))))))) -> c67(0'(0(1(2(1(2(1(2(1(2(0(1(2(1(0(0(0(1(2(0(z0)))))))))))))))))))), 0'(1(2(1(2(1(2(1(2(0(1(2(1(0(0(0(1(2(0(z0))))))))))))))))))), 1'(2(1(2(1(2(1(2(0(1(2(1(0(0(0(1(2(0(z0)))))))))))))))))), 1'(2(1(2(1(2(0(1(2(1(0(0(0(1(2(0(z0)))))))))))))))), 1'(2(1(2(0(1(2(1(0(0(0(1(2(0(z0)))))))))))))), 1'(2(0(1(2(1(0(0(0(1(2(0(z0)))))))))))), 0'(1(2(1(0(0(0(1(2(0(z0)))))))))), 1'(2(1(0(0(0(1(2(0(z0))))))))), 1'(0(0(0(1(2(0(z0))))))), 0'(0(0(1(2(0(z0)))))), 0'(0(1(2(0(z0))))), 0'(1(2(0(z0)))), 1'(2(0(z0))), 0'(z0))
   0'(2(c_0(2(c_0(2(c_1(2(2(c_0(c_1(c_1(c_1(2(c_1(c_1(c_0(2(c_0(c_1(z0)))))))))))))))))))) -> c68(0'(2(0(0(1(1(1(0(2(1(1(2(0(0(0(2(2(1(1(0(z0)))))))))))))))))))), 0'(0(1(1(1(0(2(1(1(2(0(0(0(2(2(1(1(0(z0)))))))))))))))))), 0'(1(1(1(0(2(1(1(2(0(0(0(2(2(1(1(0(z0))))))))))))))))), 1'(1(1(0(2(1(1(2(0(0(0(2(2(1(1(0(z0)))))))))))))))), 1'(1(0(2(1(1(2(0(0(0(2(2(1(1(0(z0))))))))))))))), 1'(0(2(1(1(2(0(0(0(2(2(1(1(0(z0)))))))))))))), 0'(2(1(1(2(0(0(0(2(2(1(1(0(z0))))))))))))), 1'(1(2(0(0(0(2(2(1(1(0(z0))))))))))), 1'(2(0(0(0(2(2(1(1(0(z0)))))))))), 0'(0(0(2(2(1(1(0(z0)))))))), 0'(0(2(2(1(1(0(z0))))))), 0'(2(2(1(1(0(z0)))))), 1'(1(0(z0))), 1'(0(z0)), 0'(z0))
   0'(2(2(c_0(c_1(2(2(c_0(c_1(c_1(2(c_1(c_1(2(2(2(c_1(c_0(c_1(2(z0)))))))))))))))))))) -> c69(0'(2(1(0(0(0(2(0(1(1(1(0(1(0(2(2(1(1(2(2(z0)))))))))))))))))))), 1'(0(0(0(2(0(1(1(1(0(1(0(2(2(1(1(2(2(z0)))))))))))))))))), 0'(0(0(2(0(1(1(1(0(1(0(2(2(1(1(2(2(z0))))))))))))))))), 0'(0(2(0(1(1(1(0(1(0(2(2(1(1(2(2(z0)))))))))))))))), 0'(2(0(1(1(1(0(1(0(2(2(1(1(2(2(z0))))))))))))))), 0'(1(1(1(0(1(0(2(2(1(1(2(2(z0))))))))))))), 1'(1(1(0(1(0(2(2(1(1(2(2(z0)))))))))))), 1'(1(0(1(0(2(2(1(1(2(2(z0))))))))))), 1'(0(1(0(2(2(1(1(2(2(z0)))))))))), 0'(1(0(2(2(1(1(2(2(z0))))))))), 1'(0(2(2(1(1(2(2(z0)))))))), 0'(2(2(1(1(2(2(z0))))))), 1'(1(2(2(z0)))), 1'(2(2(z0))))
   0'(2(2(2(2(c_1(c_0(c_0(c_0(2(2(c_1(c_0(c_1(c_1(c_1(c_0(c_1(2(2(z0)))))))))))))))))))) -> c70(0'(0(2(2(0(2(0(2(0(1(1(2(0(0(0(0(2(1(1(2(z0)))))))))))))))))))), 0'(2(2(0(2(0(2(0(1(1(2(0(0(0(0(2(1(1(2(z0))))))))))))))))))), 0'(2(0(2(0(1(1(2(0(0(0(0(2(1(1(2(z0)))))))))))))))), 0'(2(0(1(1(2(0(0(0(0(2(1(1(2(z0)))))))))))))), 0'(1(1(2(0(0(0(0(2(1(1(2(z0)))))))))))), 1'(1(2(0(0(0(0(2(1(1(2(z0))))))))))), 1'(2(0(0(0(0(2(1(1(2(z0)))))))))), 0'(0(0(0(2(1(1(2(z0)))))))), 0'(0(0(2(1(1(2(z0))))))), 0'(0(2(1(1(2(z0)))))), 0'(2(1(1(2(z0))))), 1'(1(2(z0))), 1'(2(z0)))
   0'(c_0(c_0(c_1(c_0(2(c_0(2(c_1(2(c_0(c_1(c_1(2(c_1(c_1(2(2(c_1(c_1(z0)))))))))))))))))))) -> c71(0'(1(2(0(2(2(1(1(1(0(1(0(2(1(2(1(2(1(2(1(z0)))))))))))))))))))), 1'(2(0(2(2(1(1(1(0(1(0(2(1(2(1(2(1(2(1(z0))))))))))))))))))), 0'(2(2(1(1(1(0(1(0(2(1(2(1(2(1(2(1(z0))))))))))))))))), 1'(1(1(0(1(0(2(1(2(1(2(1(2(1(z0)))))))))))))), 1'(1(0(1(0(2(1(2(1(2(1(2(1(z0))))))))))))), 1'(0(1(0(2(1(2(1(2(1(2(1(z0)))))))))))), 0'(1(0(2(1(2(1(2(1(2(1(z0))))))))))), 1'(0(2(1(2(1(2(1(2(1(z0)))))))))), 0'(2(1(2(1(2(1(2(1(z0))))))))), 1'(2(1(2(1(2(1(z0))))))), 1'(2(1(2(1(z0))))), 1'(2(1(z0))), 1'(z0))
   0'(c_1(c_0(c_0(2(2(c_0(2(2(c_1(2(c_1(2(c_1(c_1(c_0(c_0(2(2(2(z0)))))))))))))))))))) -> c72(0'(2(0(1(2(1(0(1(0(0(0(0(0(0(2(0(1(0(2(1(z0)))))))))))))))))))), 0'(1(2(1(0(1(0(0(0(0(0(0(2(0(1(0(2(1(z0)))))))))))))))))), 1'(2(1(0(1(0(0(0(0(0(0(2(0(1(0(2(1(z0))))))))))))))))), 1'(0(1(0(0(0(0(0(0(2(0(1(0(2(1(z0))))))))))))))), 0'(1(0(0(0(0(0(0(2(0(1(0(2(1(z0)))))))))))))), 1'(0(0(0(0(0(0(2(0(1(0(2(1(z0))))))))))))), 0'(0(0(0(0(0(2(0(1(0(2(1(z0)))))))))))), 0'(0(0(0(0(2(0(1(0(2(1(z0))))))))))), 0'(0(0(0(2(0(1(0(2(1(z0)))))))))), 0'(0(0(2(0(1(0(2(1(z0))))))))), 0'(0(2(0(1(0(2(1(z0)))))))), 0'(2(0(1(0(2(1(z0))))))), 0'(1(0(2(1(z0))))), 1'(0(2(1(z0)))), 0'(2(1(z0))), 1'(z0))
   0'(c_1(2(2(2(c_0(c_0(2(c_0(c_1(2(c_1(c_0(c_1(c_0(c_0(2(c_0(c_0(2(z0)))))))))))))))))))) -> c73(0'(0(0(1(2(0(2(1(2(2(0(0(0(1(0(1(0(0(1(2(z0)))))))))))))))))))), 0'(0(1(2(0(2(1(2(2(0(0(0(1(0(1(0(0(1(2(z0))))))))))))))))))), 0'(1(2(0(2(1(2(2(0(0(0(1(0(1(0(0(1(2(z0)))))))))))))))))), 1'(2(0(2(1(2(2(0(0(0(1(0(1(0(0(1(2(z0))))))))))))))))), 0'(2(1(2(2(0(0(0(1(0(1(0(0(1(2(z0))))))))))))))), 1'(2(2(0(0(0(1(0(1(0(0(1(2(z0))))))))))))), 0'(0(0(1(0(1(0(0(1(2(z0)))))))))), 0'(0(1(0(1(0(0(1(2(z0))))))))), 0'(1(0(1(0(0(1(2(z0)))))))), 1'(0(1(0(0(1(2(z0))))))), 0'(1(0(0(1(2(z0)))))), 1'(0(0(1(2(z0))))), 0'(0(1(2(z0)))), 0'(1(2(z0))), 1'(2(z0)))
   0'(2(c_1(c_1(c_1(c_0(c_0(c_1(2(c_1(2(c_1(c_1(2(c_0(2(c_1(c_0(c_1(2(z0)))))))))))))))))))) -> c74(0'(1(0(1(0(2(0(0(0(1(1(1(2(0(0(0(1(2(2(2(z0)))))))))))))))))))), 1'(0(1(0(2(0(0(0(1(1(1(2(0(0(0(1(2(2(2(z0))))))))))))))))))), 0'(1(0(2(0(0(0(1(1(1(2(0(0(0(1(2(2(2(z0)))))))))))))))))), 1'(0(2(0(0(0(1(1(1(2(0(0(0(1(2(2(2(z0))))))))))))))))), 0'(2(0(0(0(1(1(1(2(0(0(0(1(2(2(2(z0)))))))))))))))), 0'(0(0(1(1(1(2(0(0(0(1(2(2(2(z0)))))))))))))), 0'(0(1(1(1(2(0(0(0(1(2(2(2(z0))))))))))))), 0'(1(1(1(2(0(0(0(1(2(2(2(z0)))))))))))), 1'(1(1(2(0(0(0(1(2(2(2(z0))))))))))), 1'(1(2(0(0(0(1(2(2(2(z0)))))))))), 1'(2(0(0(0(1(2(2(2(z0))))))))), 0'(0(0(1(2(2(2(z0))))))), 0'(0(1(2(2(2(z0)))))), 0'(1(2(2(2(z0))))), 1'(2(2(2(z0)))))
   0'(2(2(c_1(c_1(c_1(c_1(c_0(c_0(c_1(c_0(c_1(c_0(2(2(c_1(c_1(2(2(c_1(z0)))))))))))))))))))) -> c75(0'(2(2(2(0(2(2(1(1(2(2(2(2(0(2(0(0(2(0(2(z0)))))))))))))))))))), 0'(2(2(1(1(2(2(2(2(0(2(0(0(2(0(2(z0)))))))))))))))), 1'(1(2(2(2(2(0(2(0(0(2(0(2(z0))))))))))))), 1'(2(2(2(2(0(2(0(0(2(0(2(z0)))))))))))), 0'(2(0(0(2(0(2(z0))))))), 0'(0(2(0(2(z0))))), 0'(2(0(2(z0)))), 0'(2(z0)))
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   0'(c_1(c_1(2(c_0(2(c_0(2(2(c_1(c_1(2(c_0(c_1(2(2(c_0(c_1(c_0(c_0(z0)))))))))))))))))))) -> c91(0'(1(2(0(0(0(2(1(2(0(1(2(2(2(2(0(1(1(0(1(z0)))))))))))))))))))), 1'(2(0(0(0(2(1(2(0(1(2(2(2(2(0(1(1(0(1(z0))))))))))))))))))), 0'(0(0(2(1(2(0(1(2(2(2(2(0(1(1(0(1(z0))))))))))))))))), 0'(0(2(1(2(0(1(2(2(2(2(0(1(1(0(1(z0)))))))))))))))), 0'(2(1(2(0(1(2(2(2(2(0(1(1(0(1(z0))))))))))))))), 1'(2(0(1(2(2(2(2(0(1(1(0(1(z0))))))))))))), 0'(1(2(2(2(2(0(1(1(0(1(z0))))))))))), 1'(2(2(2(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))
   0'(2(c_1(c_1(2(c_0(2(2(2(c_0(c_1(2(c_0(2(c_0(2(2(c_0(c_0(c_1(z0)))))))))))))))))))) -> c92(0'(0(2(1(2(0(0(0(2(0(1(2(2(2(1(0(1(1(1(0(z0)))))))))))))))))))), 0'(2(1(2(0(0(0(2(0(1(2(2(2(1(0(1(1(1(0(z0))))))))))))))))))), 1'(2(0(0(0(2(0(1(2(2(2(1(0(1(1(1(0(z0))))))))))))))))), 0'(0(0(2(0(1(2(2(2(1(0(1(1(1(0(z0))))))))))))))), 0'(0(2(0(1(2(2(2(1(0(1(1(1(0(z0)))))))))))))), 0'(2(0(1(2(2(2(1(0(1(1(1(0(z0))))))))))))), 0'(1(2(2(2(1(0(1(1(1(0(z0))))))))))), 1'(2(2(2(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))
   0'(c_1(c_0(c_1(c_0(c_1(c_1(c_0(c_0(c_0(c_1(c_0(2(c_1(c_1(2(c_0(c_1(c_0(c_1(z0)))))))))))))))))))) -> c93(0'(0(2(1(1(0(0(2(0(2(1(0(1(1(0(2(2(0(1(2(z0)))))))))))))))))))), 0'(2(1(1(0(0(2(0(2(1(0(1(1(0(2(2(0(1(2(z0))))))))))))))))))), 1'(1(0(0(2(0(2(1(0(1(1(0(2(2(0(1(2(z0))))))))))))))))), 1'(0(0(2(0(2(1(0(1(1(0(2(2(0(1(2(z0)))))))))))))))), 0'(0(2(0(2(1(0(1(1(0(2(2(0(1(2(z0))))))))))))))), 0'(2(0(2(1(0(1(1(0(2(2(0(1(2(z0)))))))))))))), 0'(2(1(0(1(1(0(2(2(0(1(2(z0)))))))))))), 1'(0(1(1(0(2(2(0(1(2(z0)))))))))), 0'(1(1(0(2(2(0(1(2(z0))))))))), 1'(1(0(2(2(0(1(2(z0)))))))), 1'(0(2(2(0(1(2(z0))))))), 0'(2(2(0(1(2(z0)))))), 0'(1(2(z0))), 1'(2(z0)))
   0'(c_0(c_1(2(2(c_0(c_1(c_1(2(c_0(c_0(2(2(c_1(c_0(2(c_1(2(c_1(c_0(z0)))))))))))))))))))) -> c94(0'(2(2(0(2(0(2(1(0(2(0(0(2(2(1(0(0(0(2(0(z0)))))))))))))))))))), 0'(2(0(2(1(0(2(0(0(2(2(1(0(0(0(2(0(z0))))))))))))))))), 0'(2(1(0(2(0(0(2(2(1(0(0(0(2(0(z0))))))))))))))), 1'(0(2(0(0(2(2(1(0(0(0(2(0(z0))))))))))))), 0'(2(0(0(2(2(1(0(0(0(2(0(z0)))))))))))), 0'(0(2(2(1(0(0(0(2(0(z0)))))))))), 0'(2(2(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))), 0'(z0))
   0'(c_0(c_0(2(2(c_1(c_1(2(2(c_0(c_0(2(c_1(2(c_0(c_1(c_1(c_0(2(2(z0)))))))))))))))))))) -> c95(0'(2(2(2(1(0(0(2(1(2(1(2(1(2(1(1(1(2(0(2(z0)))))))))))))))))))), 1'(0(0(2(1(2(1(2(1(2(1(1(1(2(0(2(z0)))))))))))))))), 0'(0(2(1(2(1(2(1(2(1(1(1(2(0(2(z0))))))))))))))), 0'(2(1(2(1(2(1(2(1(1(1(2(0(2(z0)))))))))))))), 1'(2(1(2(1(2(1(1(1(2(0(2(z0)))))))))))), 1'(2(1(2(1(1(1(2(0(2(z0)))))))))), 1'(2(1(1(1(2(0(2(z0)))))))), 1'(1(1(2(0(2(z0)))))), 1'(1(2(0(2(z0))))), 1'(2(0(2(z0)))), 0'(2(z0)))
   0'(c_1(2(c_1(c_0(c_1(2(2(c_1(c_1(c_0(c_0(c_1(c_1(2(2(c_1(c_0(c_1(c_1(z0)))))))))))))))))))) -> c96(0'(2(2(2(0(2(0(2(0(1(2(1(2(2(2(1(0(0(1(0(z0)))))))))))))))))))), 0'(2(0(2(0(1(2(1(2(2(2(1(0(0(1(0(z0)))))))))))))))), 0'(2(0(1(2(1(2(2(2(1(0(0(1(0(z0)))))))))))))), 0'(1(2(1(2(2(2(1(0(0(1(0(z0)))))))))))), 1'(2(1(2(2(2(1(0(0(1(0(z0))))))))))), 1'(2(2(2(1(0(0(1(0(z0))))))))), 1'(0(0(1(0(z0))))), 0'(0(1(0(z0)))), 0'(1(0(z0))), 1'(0(z0)), 0'(z0))
   0'(2(2(c_1(c_1(2(2(c_1(c_0(2(c_1(2(c_1(c_1(2(2(2(c_0(2(c_0(z0)))))))))))))))))))) -> c97(0'(2(1(2(2(2(1(0(0(1(0(0(0(1(2(1(1(2(2(1(z0)))))))))))))))))))), 1'(2(2(2(1(0(0(1(0(0(0(1(2(1(1(2(2(1(z0)))))))))))))))))), 1'(0(0(1(0(0(0(1(2(1(1(2(2(1(z0)))))))))))))), 0'(0(1(0(0(0(1(2(1(1(2(2(1(z0))))))))))))), 0'(1(0(0(0(1(2(1(1(2(2(1(z0)))))))))))), 1'(0(0(0(1(2(1(1(2(2(1(z0))))))))))), 0'(0(0(1(2(1(1(2(2(1(z0)))))))))), 0'(0(1(2(1(1(2(2(1(z0))))))))), 0'(1(2(1(1(2(2(1(z0)))))))), 1'(2(1(1(2(2(1(z0))))))), 1'(1(2(2(1(z0))))), 1'(2(2(1(z0)))), 1'(z0))
   0'(c_1(c_1(c_1(2(2(c_1(2(c_1(c_1(c_1(c_0(c_0(c_1(c_1(c_1(2(c_1(c_1(c_0(z0)))))))))))))))))))) -> c98(0'(0(1(0(2(0(1(1(1(2(0(2(1(2(2(0(2(1(2(1(z0)))))))))))))))))))), 0'(1(0(2(0(1(1(1(2(0(2(1(2(2(0(2(1(2(1(z0))))))))))))))))))), 1'(0(2(0(1(1(1(2(0(2(1(2(2(0(2(1(2(1(z0)))))))))))))))))), 0'(2(0(1(1(1(2(0(2(1(2(2(0(2(1(2(1(z0))))))))))))))))), 0'(1(1(1(2(0(2(1(2(2(0(2(1(2(1(z0))))))))))))))), 1'(1(1(2(0(2(1(2(2(0(2(1(2(1(z0)))))))))))))), 1'(1(2(0(2(1(2(2(0(2(1(2(1(z0))))))))))))), 1'(2(0(2(1(2(2(0(2(1(2(1(z0)))))))))))), 0'(2(1(2(2(0(2(1(2(1(z0)))))))))), 1'(2(2(0(2(1(2(1(z0)))))))), 0'(2(1(2(1(z0))))), 1'(2(1(z0))), 1'(z0))
   0'(c_0(2(c_0(c_1(c_1(2(c_0(2(c_1(c_0(2(2(c_1(c_1(c_0(c_1(2(c_0(c_1(z0)))))))))))))))))))) -> c99(0'(1(2(0(2(0(1(0(1(2(1(0(0(2(2(1(0(1(0(1(z0)))))))))))))))))))), 1'(2(0(2(0(1(0(1(2(1(0(0(2(2(1(0(1(0(1(z0))))))))))))))))))), 0'(2(0(1(0(1(2(1(0(0(2(2(1(0(1(0(1(z0))))))))))))))))), 0'(1(0(1(2(1(0(0(2(2(1(0(1(0(1(z0))))))))))))))), 1'(0(1(2(1(0(0(2(2(1(0(1(0(1(z0)))))))))))))), 0'(1(2(1(0(0(2(2(1(0(1(0(1(z0))))))))))))), 1'(2(1(0(0(2(2(1(0(1(0(1(z0)))))))))))), 1'(0(0(2(2(1(0(1(0(1(z0)))))))))), 0'(0(2(2(1(0(1(0(1(z0))))))))), 0'(2(2(1(0(1(0(1(z0)))))))), 1'(0(1(0(1(z0))))), 0'(1(0(1(z0)))), 1'(0(1(z0))), 0'(1(z0)), 1'(z0))
   0'(c_1(c_1(2(2(2(2(c_1(c_0(2(c_0(c_0(c_1(2(2(c_1(2(2(2(2(z0)))))))))))))))))))) -> c100(0'(1(0(0(2(0(0(1(2(1(2(0(1(2(2(1(0(2(0(2(z0)))))))))))))))))))), 1'(0(0(2(0(0(1(2(1(2(0(1(2(2(1(0(2(0(2(z0))))))))))))))))))), 0'(0(2(0(0(1(2(1(2(0(1(2(2(1(0(2(0(2(z0)))))))))))))))))), 0'(2(0(0(1(2(1(2(0(1(2(2(1(0(2(0(2(z0))))))))))))))))), 0'(0(1(2(1(2(0(1(2(2(1(0(2(0(2(z0))))))))))))))), 0'(1(2(1(2(0(1(2(2(1(0(2(0(2(z0)))))))))))))), 1'(2(1(2(0(1(2(2(1(0(2(0(2(z0))))))))))))), 1'(2(0(1(2(2(1(0(2(0(2(z0))))))))))), 0'(1(2(2(1(0(2(0(2(z0))))))))), 1'(2(2(1(0(2(0(2(z0)))))))), 1'(0(2(0(2(z0))))), 0'(2(0(2(z0)))), 0'(2(z0)))
   0'(2(c_0(c_1(2(c_1(c_1(c_1(c_1(2(c_0(2(c_1(2(c_0(c_1(2(2(c_0(c_1(z0)))))))))))))))))))) -> c101(0'(1(1(1(1(2(1(0(0(1(1(0(2(1(0(0(2(0(0(1(z0)))))))))))))))))))), 1'(1(1(1(2(1(0(0(1(1(0(2(1(0(0(2(0(0(1(z0))))))))))))))))))), 1'(1(1(2(1(0(0(1(1(0(2(1(0(0(2(0(0(1(z0)))))))))))))))))), 1'(1(2(1(0(0(1(1(0(2(1(0(0(2(0(0(1(z0))))))))))))))))), 1'(2(1(0(0(1(1(0(2(1(0(0(2(0(0(1(z0)))))))))))))))), 1'(0(0(1(1(0(2(1(0(0(2(0(0(1(z0)))))))))))))), 0'(0(1(1(0(2(1(0(0(2(0(0(1(z0))))))))))))), 0'(1(1(0(2(1(0(0(2(0(0(1(z0)))))))))))), 1'(1(0(2(1(0(0(2(0(0(1(z0))))))))))), 1'(0(2(1(0(0(2(0(0(1(z0)))))))))), 0'(2(1(0(0(2(0(0(1(z0))))))))), 1'(0(0(2(0(0(1(z0))))))), 0'(0(2(0(0(1(z0)))))), 0'(2(0(0(1(z0))))), 0'(0(1(z0))), 0'(1(z0)), 1'(z0))
   0'(c_1(c_0(c_1(c_1(2(c_1(c_0(c_0(c_0(2(2(2(c_1(2(c_1(2(c_1(c_0(2(z0)))))))))))))))))))) -> c102(0'(1(0(0(2(2(1(2(1(0(1(0(0(0(2(0(0(2(1(2(z0)))))))))))))))))))), 1'(0(0(2(2(1(2(1(0(1(0(0(0(2(0(0(2(1(2(z0))))))))))))))))))), 0'(0(2(2(1(2(1(0(1(0(0(0(2(0(0(2(1(2(z0)))))))))))))))))), 0'(2(2(1(2(1(0(1(0(0(0(2(0(0(2(1(2(z0))))))))))))))))), 1'(2(1(0(1(0(0(0(2(0(0(2(1(2(z0)))))))))))))), 1'(0(1(0(0(0(2(0(0(2(1(2(z0)))))))))))), 0'(1(0(0(0(2(0(0(2(1(2(z0))))))))))), 1'(0(0(0(2(0(0(2(1(2(z0)))))))))), 0'(0(0(2(0(0(2(1(2(z0))))))))), 0'(0(2(0(0(2(1(2(z0)))))))), 0'(2(0(0(2(1(2(z0))))))), 0'(0(2(1(2(z0))))), 0'(2(1(2(z0)))), 1'(2(z0)))
   0'(c_0(c_1(c_0(2(c_1(2(2(2(2(c_0(c_1(2(c_0(c_1(c_1(2(2(c_0(2(z0)))))))))))))))))))) -> c103(0'(0(2(1(1(0(0(2(2(2(0(1(2(2(0(1(2(2(0(2(z0)))))))))))))))))))), 0'(2(1(1(0(0(2(2(2(0(1(2(2(0(1(2(2(0(2(z0))))))))))))))))))), 1'(1(0(0(2(2(2(0(1(2(2(0(1(2(2(0(2(z0))))))))))))))))), 1'(0(0(2(2(2(0(1(2(2(0(1(2(2(0(2(z0)))))))))))))))), 0'(0(2(2(2(0(1(2(2(0(1(2(2(0(2(z0))))))))))))))), 0'(2(2(2(0(1(2(2(0(1(2(2(0(2(z0)))))))))))))), 0'(1(2(2(0(1(2(2(0(2(z0)))))))))), 1'(2(2(0(1(2(2(0(2(z0))))))))), 0'(1(2(2(0(2(z0)))))), 1'(2(2(0(2(z0))))), 0'(2(z0)))
   0'(c_1(c_1(c_0(c_1(2(c_1(2(c_0(2(2(c_1(c_0(c_0(2(c_0(c_1(c_0(c_1(c_1(z0)))))))))))))))))))) -> c104(0'(0(0(1(2(0(2(2(2(0(1(0(1(2(1(1(1(0(2(0(z0)))))))))))))))))))), 0'(0(1(2(0(2(2(2(0(1(0(1(2(1(1(1(0(2(0(z0))))))))))))))))))), 0'(1(2(0(2(2(2(0(1(0(1(2(1(1(1(0(2(0(z0)))))))))))))))))), 1'(2(0(2(2(2(0(1(0(1(2(1(1(1(0(2(0(z0))))))))))))))))), 0'(2(2(2(0(1(0(1(2(1(1(1(0(2(0(z0))))))))))))))), 0'(1(0(1(2(1(1(1(0(2(0(z0))))))))))), 1'(0(1(2(1(1(1(0(2(0(z0)))))))))), 0'(1(2(1(1(1(0(2(0(z0))))))))), 1'(2(1(1(1(0(2(0(z0)))))))), 1'(1(1(0(2(0(z0)))))), 1'(1(0(2(0(z0))))), 1'(0(2(0(z0)))), 0'(2(0(z0))), 0'(z0))
   1'(2(2(c_0(2(c_0(2(c_1(2(c_1(2(c_1(c_0(c_0(c_1(c_0(c_0(2(c_0(c_1(z0)))))))))))))))))))) -> c106(1'(0(1(2(0(1(0(0(1(0(0(0(2(1(0(0(1(0(0(2(z0)))))))))))))))))))), 0'(1(2(0(1(0(0(1(0(0(0(2(1(0(0(1(0(0(2(z0))))))))))))))))))), 1'(2(0(1(0(0(1(0(0(0(2(1(0(0(1(0(0(2(z0)))))))))))))))))), 0'(1(0(0(1(0(0(0(2(1(0(0(1(0(0(2(z0)))))))))))))))), 1'(0(0(1(0(0(0(2(1(0(0(1(0(0(2(z0))))))))))))))), 0'(0(1(0(0(0(2(1(0(0(1(0(0(2(z0)))))))))))))), 0'(1(0(0(0(2(1(0(0(1(0(0(2(z0))))))))))))), 1'(0(0(0(2(1(0(0(1(0(0(2(z0)))))))))))), 0'(0(0(2(1(0(0(1(0(0(2(z0))))))))))), 0'(0(2(1(0(0(1(0(0(2(z0)))))))))), 0'(2(1(0(0(1(0(0(2(z0))))))))), 1'(0(0(1(0(0(2(z0))))))), 0'(0(1(0(0(2(z0)))))), 0'(1(0(0(2(z0))))), 1'(0(0(2(z0)))), 0'(0(2(z0))), 0'(2(z0)))
K tuples:none
Defined Rule Symbols:   0_1, 1_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

Compound Symbols:   c_1, c1_2, c2_2, c3_2, c4_2, c5_1, c6, c7_14, c8_13, c9_13, c10_13, c11_13, c12_15, c13_10, c14_13, c15_12, c16_14, c17_13, c18_13, c19_16, c20_13, c21_11, c22_9, c23_16, c24_12, c25_15, c26_14, c27_14, c28_14, c29_14, c30_12, c31_16, c32_16, c33_14, c34_15, c35_11, c36_16, c37_16, c38_13, c39_15, c40_12, c41_16, c42_11, c43_16, c44_12, c45_16, c46_15, c47_18, c48_10, c49_14, c50_13, c51_15, c52_15, c53_14, c54_15, c55_15, c56_13, c57_9, c58_11, c59_14, c60_13, c61_14, c62_16, c63_11, c64_15, c65_12, c66_16, c67_14, c68_15, c69_14, c70_13, c71_13, c72_16, c73_15, c74_15, c75_8, c76_12, c77_15, c78_15, c79_16, c80_14, c81_10, c82_12, c83_16, c84_14, c85_15, c86_12, c87_13, c88_16, c89_12, c90_13, c91_13, c92_14, c93_14, c94_12, c95_11, c96_11, c97_13, c98_13, c99_15, c100_13, c101_17, c102_14, c103_11, c104_14, c105, c106_17


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

(39) CdtLeafRemovalProof (ComplexityIfPolyImplication)
Removed 1 leading nodes:
   ENCODE_2(z0) -> c5(ENCARG(z0))
Removed 2 trailing nodes:
   1'(z0) -> c105
   0'(z0) -> c6

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

(40)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(2(z0)) -> 2(encArg(z0))
   encArg(cons_0(z0)) -> 0(encArg(z0))
   encArg(cons_1(z0)) -> 1(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_0(c_1(c_0(2(2(c_1(2(c_0(c_0(c_1(c_1(2(2(2(c_1(c_1(2(c_1(c_1(z0)))))))))))))))))))) -> 0(2(0(2(2(0(0(1(2(0(2(0(0(1(1(0(0(2(1(1(z0))))))))))))))))))))
   0(c_1(c_0(c_1(2(c_1(c_1(c_1(c_0(c_0(c_1(c_1(2(2(2(c_0(2(c_0(c_1(2(z0)))))))))))))))))))) -> 0(2(1(1(2(1(0(2(0(1(1(0(2(0(1(0(2(2(0(2(z0))))))))))))))))))))
   0(2(c_1(c_1(c_1(c_0(2(c_1(c_1(c_0(c_1(c_0(2(2(c_0(c_0(2(c_0(2(c_1(z0)))))))))))))))))))) -> 0(1(0(1(2(2(2(1(1(0(2(2(1(2(0(0(0(0(2(1(z0))))))))))))))))))))
   0(c_1(c_0(2(2(c_1(c_1(c_0(c_1(c_0(2(2(c_1(c_0(2(c_0(c_1(c_0(c_1(c_1(z0)))))))))))))))))))) -> 0(1(2(0(0(2(2(0(0(0(0(2(1(2(1(0(1(2(0(2(z0))))))))))))))))))))
   0(2(c_1(2(c_0(c_1(c_1(c_1(2(c_0(c_1(c_1(2(c_1(2(c_0(2(c_0(2(c_0(z0)))))))))))))))))))) -> 0(1(2(1(1(0(1(1(2(1(2(0(1(0(1(2(2(0(2(2(z0))))))))))))))))))))
   0(c_0(c_1(c_0(c_0(c_1(c_1(2(c_1(c_1(2(2(c_1(c_1(2(2(c_1(c_1(c_0(2(z0)))))))))))))))))))) -> 0(1(1(0(0(2(0(0(2(0(2(1(1(1(1(1(0(2(0(2(z0))))))))))))))))))))
   0(c_1(c_1(c_0(c_1(c_0(2(c_1(c_1(2(2(c_0(2(c_0(2(c_0(2(2(c_0(c_1(z0)))))))))))))))))))) -> 0(2(0(2(1(0(0(1(2(2(1(2(2(1(2(2(1(2(2(0(z0))))))))))))))))))))
   0(c_1(c_0(c_1(c_1(c_1(c_1(2(c_0(2(2(2(2(2(2(c_1(c_0(2(c_0(c_1(z0)))))))))))))))))))) -> 0(0(0(2(2(1(0(0(1(2(1(0(2(2(1(0(0(2(2(1(z0))))))))))))))))))))
   0(c_0(2(2(c_0(c_0(c_1(c_0(2(2(c_1(c_1(2(2(c_1(c_0(2(2(c_0(c_1(z0)))))))))))))))))))) -> 0(2(0(2(2(1(0(0(2(2(1(2(1(1(0(0(2(0(2(1(z0))))))))))))))))))))
   0(c_0(2(2(c_1(c_1(c_1(c_0(c_1(c_0(c_1(c_0(c_1(2(2(2(c_1(2(c_0(c_0(z0)))))))))))))))))))) -> 0(1(0(2(0(2(2(1(0(1(0(2(1(2(1(0(1(1(1(2(z0))))))))))))))))))))
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   0(2(c_1(c_1(2(c_1(2(2(2(c_0(c_0(c_1(c_0(2(c_1(c_1(c_1(2(2(c_0(z0)))))))))))))))))))) -> 0(0(0(2(1(0(1(2(1(2(1(1(1(2(0(0(0(1(1(0(z0))))))))))))))))))))
   0(c_1(2(c_0(c_0(2(c_1(c_1(c_0(2(c_1(c_0(c_1(c_1(c_1(c_0(c_1(c_1(c_0(c_0(z0)))))))))))))))))))) -> 0(0(0(2(0(1(1(2(2(0(2(0(0(2(1(0(0(2(1(1(z0))))))))))))))))))))
   0(c_0(c_1(c_0(2(2(2(2(c_1(c_0(2(c_1(c_0(2(2(c_0(c_1(c_1(2(c_1(z0)))))))))))))))))))) -> 0(0(1(0(0(0(0(2(2(2(2(0(0(0(1(0(0(2(1(1(z0))))))))))))))))))))
   0(c_1(c_1(c_0(c_1(c_1(c_1(c_1(2(c_0(2(c_0(2(2(2(c_0(c_0(c_0(2(c_1(z0)))))))))))))))))))) -> 0(1(0(1(2(2(2(0(2(2(1(1(2(2(2(0(0(0(1(0(z0))))))))))))))))))))
   0(c_0(c_1(c_0(c_1(2(2(2(c_1(c_1(2(c_1(2(c_1(c_0(2(c_0(c_1(2(c_0(z0)))))))))))))))))))) -> 0(2(0(1(1(2(2(2(1(0(0(2(1(0(0(0(0(2(0(2(z0))))))))))))))))))))
   0(c_0(c_0(c_1(2(c_0(2(2(c_1(c_1(c_0(c_1(c_0(c_1(2(c_0(c_1(c_1(c_1(c_1(z0)))))))))))))))))))) -> 0(1(2(0(1(2(1(0(1(0(1(0(2(0(1(1(1(1(0(2(z0))))))))))))))))))))
   0(c_0(c_1(2(c_0(c_1(2(c_0(c_1(c_1(c_1(c_0(2(2(c_1(c_0(2(c_1(c_1(2(z0)))))))))))))))))))) -> 0(1(2(2(0(2(2(2(1(0(1(2(2(1(0(0(1(1(1(2(z0))))))))))))))))))))
   0(c_0(c_1(2(2(c_1(c_1(c_0(2(2(2(c_0(c_1(c_1(c_1(c_1(c_0(c_1(2(c_1(z0)))))))))))))))))))) -> 0(1(2(2(0(1(1(1(2(0(2(0(0(1(2(0(2(1(2(0(z0))))))))))))))))))))
   0(c_1(c_1(2(c_0(2(c_0(2(2(c_1(c_1(2(c_0(c_1(2(2(c_0(c_1(c_0(c_0(z0)))))))))))))))))))) -> 0(1(2(0(0(0(2(1(2(0(1(2(2(2(2(0(1(1(0(1(z0))))))))))))))))))))
   0(2(c_1(c_1(2(c_0(2(2(2(c_0(c_1(2(c_0(2(c_0(2(2(c_0(c_0(c_1(z0)))))))))))))))))))) -> 0(0(2(1(2(0(0(0(2(0(1(2(2(2(1(0(1(1(1(0(z0))))))))))))))))))))
   0(c_1(c_0(c_1(c_0(c_1(c_1(c_0(c_0(c_0(c_1(c_0(2(c_1(c_1(2(c_0(c_1(c_0(c_1(z0)))))))))))))))))))) -> 0(0(2(1(1(0(0(2(0(2(1(0(1(1(0(2(2(0(1(2(z0))))))))))))))))))))
   0(c_0(c_1(2(2(c_0(c_1(c_1(2(c_0(c_0(2(2(c_1(c_0(2(c_1(2(c_1(c_0(z0)))))))))))))))))))) -> 0(2(2(0(2(0(2(1(0(2(0(0(2(2(1(0(0(0(2(0(z0))))))))))))))))))))
   0(c_0(c_0(2(2(c_1(c_1(2(2(c_0(c_0(2(c_1(2(c_0(c_1(c_1(c_0(2(2(z0)))))))))))))))))))) -> 0(2(2(2(1(0(0(2(1(2(1(2(1(2(1(1(1(2(0(2(z0))))))))))))))))))))
   0(c_1(2(c_1(c_0(c_1(2(2(c_1(c_1(c_0(c_0(c_1(c_1(2(2(c_1(c_0(c_1(c_1(z0)))))))))))))))))))) -> 0(2(2(2(0(2(0(2(0(1(2(1(2(2(2(1(0(0(1(0(z0))))))))))))))))))))
   0(2(2(c_1(c_1(2(2(c_1(c_0(2(c_1(2(c_1(c_1(2(2(2(c_0(2(c_0(z0)))))))))))))))))))) -> 0(2(1(2(2(2(1(0(0(1(0(0(0(1(2(1(1(2(2(1(z0))))))))))))))))))))
   0(c_1(c_1(c_1(2(2(c_1(2(c_1(c_1(c_1(c_0(c_0(c_1(c_1(c_1(2(c_1(c_1(c_0(z0)))))))))))))))))))) -> 0(0(1(0(2(0(1(1(1(2(0(2(1(2(2(0(2(1(2(1(z0))))))))))))))))))))
   0(c_0(2(c_0(c_1(c_1(2(c_0(2(c_1(c_0(2(2(c_1(c_1(c_0(c_1(2(c_0(c_1(z0)))))))))))))))))))) -> 0(1(2(0(2(0(1(0(1(2(1(0(0(2(2(1(0(1(0(1(z0))))))))))))))))))))
   0(c_1(c_1(2(2(2(2(c_1(c_0(2(c_0(c_0(c_1(2(2(c_1(2(2(2(2(z0)))))))))))))))))))) -> 0(1(0(0(2(0(0(1(2(1(2(0(1(2(2(1(0(2(0(2(z0))))))))))))))))))))
   0(2(c_0(c_1(2(c_1(c_1(c_1(c_1(2(c_0(2(c_1(2(c_0(c_1(2(2(c_0(c_1(z0)))))))))))))))))))) -> 0(1(1(1(1(2(1(0(0(1(1(0(2(1(0(0(2(0(0(1(z0))))))))))))))))))))
   0(c_1(c_0(c_1(c_1(2(c_1(c_0(c_0(c_0(2(2(2(c_1(2(c_1(2(c_1(c_0(2(z0)))))))))))))))))))) -> 0(1(0(0(2(2(1(2(1(0(1(0(0(0(2(0(0(2(1(2(z0))))))))))))))))))))
   0(c_0(c_1(c_0(2(c_1(2(2(2(2(c_0(c_1(2(c_0(c_1(c_1(2(2(c_0(2(z0)))))))))))))))))))) -> 0(0(2(1(1(0(0(2(2(2(0(1(2(2(0(1(2(2(0(2(z0))))))))))))))))))))
   0(c_1(c_1(c_0(c_1(2(c_1(2(c_0(2(2(c_1(c_0(c_0(2(c_0(c_1(c_0(c_1(c_1(z0)))))))))))))))))))) -> 0(0(0(1(2(0(2(2(2(0(1(0(1(2(1(1(1(0(2(0(z0))))))))))))))))))))
   1(z0) -> c_1(z0)
   1(2(2(c_0(2(c_0(2(c_1(2(c_1(2(c_1(c_0(c_0(c_1(c_0(c_0(2(c_0(c_1(z0)))))))))))))))))))) -> 1(0(1(2(0(1(0(0(1(0(0(0(2(1(0(0(1(0(0(2(z0))))))))))))))))))))
Tuples:
   ENCARG(2(z0)) -> c(ENCARG(z0))
   ENCARG(cons_0(z0)) -> c1(0'(encArg(z0)), ENCARG(z0))
   ENCARG(cons_1(z0)) -> c2(1'(encArg(z0)), ENCARG(z0))
   ENCODE_0(z0) -> c3(0'(encArg(z0)), ENCARG(z0))
   ENCODE_1(z0) -> c4(1'(encArg(z0)), ENCARG(z0))
   0'(c_0(c_1(c_0(2(2(c_1(2(c_0(c_0(c_1(c_1(2(2(2(c_1(c_1(2(c_1(c_1(z0)))))))))))))))))))) -> c7(0'(2(0(2(2(0(0(1(2(0(2(0(0(1(1(0(0(2(1(1(z0)))))))))))))))))))), 0'(2(2(0(0(1(2(0(2(0(0(1(1(0(0(2(1(1(z0)))))))))))))))))), 0'(0(1(2(0(2(0(0(1(1(0(0(2(1(1(z0))))))))))))))), 0'(1(2(0(2(0(0(1(1(0(0(2(1(1(z0)))))))))))))), 1'(2(0(2(0(0(1(1(0(0(2(1(1(z0))))))))))))), 0'(2(0(0(1(1(0(0(2(1(1(z0))))))))))), 0'(0(1(1(0(0(2(1(1(z0))))))))), 0'(1(1(0(0(2(1(1(z0)))))))), 1'(1(0(0(2(1(1(z0))))))), 1'(0(0(2(1(1(z0)))))), 0'(0(2(1(1(z0))))), 0'(2(1(1(z0)))), 1'(1(z0)), 1'(z0))
   0'(c_1(c_0(c_1(2(c_1(c_1(c_1(c_0(c_0(c_1(c_1(2(2(2(c_0(2(c_0(c_1(2(z0)))))))))))))))))))) -> c8(0'(2(1(1(2(1(0(2(0(1(1(0(2(0(1(0(2(2(0(2(z0)))))))))))))))))))), 1'(1(2(1(0(2(0(1(1(0(2(0(1(0(2(2(0(2(z0)))))))))))))))))), 1'(2(1(0(2(0(1(1(0(2(0(1(0(2(2(0(2(z0))))))))))))))))), 1'(0(2(0(1(1(0(2(0(1(0(2(2(0(2(z0))))))))))))))), 0'(2(0(1(1(0(2(0(1(0(2(2(0(2(z0)))))))))))))), 0'(1(1(0(2(0(1(0(2(2(0(2(z0)))))))))))), 1'(1(0(2(0(1(0(2(2(0(2(z0))))))))))), 1'(0(2(0(1(0(2(2(0(2(z0)))))))))), 0'(2(0(1(0(2(2(0(2(z0))))))))), 0'(1(0(2(2(0(2(z0))))))), 1'(0(2(2(0(2(z0)))))), 0'(2(2(0(2(z0))))), 0'(2(z0)))
   0'(2(c_1(c_1(c_1(c_0(2(c_1(c_1(c_0(c_1(c_0(2(2(c_0(c_0(2(c_0(2(c_1(z0)))))))))))))))))))) -> c9(0'(1(0(1(2(2(2(1(1(0(2(2(1(2(0(0(0(0(2(1(z0)))))))))))))))))))), 1'(0(1(2(2(2(1(1(0(2(2(1(2(0(0(0(0(2(1(z0))))))))))))))))))), 0'(1(2(2(2(1(1(0(2(2(1(2(0(0(0(0(2(1(z0)))))))))))))))))), 1'(2(2(2(1(1(0(2(2(1(2(0(0(0(0(2(1(z0))))))))))))))))), 1'(1(0(2(2(1(2(0(0(0(0(2(1(z0))))))))))))), 1'(0(2(2(1(2(0(0(0(0(2(1(z0)))))))))))), 0'(2(2(1(2(0(0(0(0(2(1(z0))))))))))), 1'(2(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))), 1'(z0))
   0'(c_1(c_0(2(2(c_1(c_1(c_0(c_1(c_0(2(2(c_1(c_0(2(c_0(c_1(c_0(c_1(c_1(z0)))))))))))))))))))) -> c10(0'(1(2(0(0(2(2(0(0(0(0(2(1(2(1(0(1(2(0(2(z0)))))))))))))))))))), 1'(2(0(0(2(2(0(0(0(0(2(1(2(1(0(1(2(0(2(z0))))))))))))))))))), 0'(0(2(2(0(0(0(0(2(1(2(1(0(1(2(0(2(z0))))))))))))))))), 0'(2(2(0(0(0(0(2(1(2(1(0(1(2(0(2(z0)))))))))))))))), 0'(0(0(0(2(1(2(1(0(1(2(0(2(z0))))))))))))), 0'(0(0(2(1(2(1(0(1(2(0(2(z0)))))))))))), 0'(0(2(1(2(1(0(1(2(0(2(z0))))))))))), 0'(2(1(2(1(0(1(2(0(2(z0)))))))))), 1'(2(1(0(1(2(0(2(z0)))))))), 1'(0(1(2(0(2(z0)))))), 0'(1(2(0(2(z0))))), 1'(2(0(2(z0)))), 0'(2(z0)))
   0'(2(c_1(2(c_0(c_1(c_1(c_1(2(c_0(c_1(c_1(2(c_1(2(c_0(2(c_0(2(c_0(z0)))))))))))))))))))) -> c11(0'(1(2(1(1(0(1(1(2(1(2(0(1(0(1(2(2(0(2(2(z0)))))))))))))))))))), 1'(2(1(1(0(1(1(2(1(2(0(1(0(1(2(2(0(2(2(z0))))))))))))))))))), 1'(1(0(1(1(2(1(2(0(1(0(1(2(2(0(2(2(z0))))))))))))))))), 1'(0(1(1(2(1(2(0(1(0(1(2(2(0(2(2(z0)))))))))))))))), 0'(1(1(2(1(2(0(1(0(1(2(2(0(2(2(z0))))))))))))))), 1'(1(2(1(2(0(1(0(1(2(2(0(2(2(z0)))))))))))))), 1'(2(1(2(0(1(0(1(2(2(0(2(2(z0))))))))))))), 1'(2(0(1(0(1(2(2(0(2(2(z0))))))))))), 0'(1(0(1(2(2(0(2(2(z0))))))))), 1'(0(1(2(2(0(2(2(z0)))))))), 0'(1(2(2(0(2(2(z0))))))), 1'(2(2(0(2(2(z0)))))), 0'(2(2(z0))))
   0'(c_0(c_1(c_0(c_0(c_1(c_1(2(c_1(c_1(2(2(c_1(c_1(2(2(c_1(c_1(c_0(2(z0)))))))))))))))))))) -> c12(0'(1(1(0(0(2(0(0(2(0(2(1(1(1(1(1(0(2(0(2(z0)))))))))))))))))))), 1'(1(0(0(2(0(0(2(0(2(1(1(1(1(1(0(2(0(2(z0))))))))))))))))))), 1'(0(0(2(0(0(2(0(2(1(1(1(1(1(0(2(0(2(z0)))))))))))))))))), 0'(0(2(0(0(2(0(2(1(1(1(1(1(0(2(0(2(z0))))))))))))))))), 0'(2(0(0(2(0(2(1(1(1(1(1(0(2(0(2(z0)))))))))))))))), 0'(0(2(0(2(1(1(1(1(1(0(2(0(2(z0)))))))))))))), 0'(2(0(2(1(1(1(1(1(0(2(0(2(z0))))))))))))), 0'(2(1(1(1(1(1(0(2(0(2(z0))))))))))), 1'(1(1(1(1(0(2(0(2(z0))))))))), 1'(1(1(1(0(2(0(2(z0)))))))), 1'(1(1(0(2(0(2(z0))))))), 1'(1(0(2(0(2(z0)))))), 1'(0(2(0(2(z0))))), 0'(2(0(2(z0)))), 0'(2(z0)))
   0'(c_1(c_1(c_0(c_1(c_0(2(c_1(c_1(2(2(c_0(2(c_0(2(c_0(2(2(c_0(c_1(z0)))))))))))))))))))) -> c13(0'(2(0(2(1(0(0(1(2(2(1(2(2(1(2(2(1(2(2(0(z0)))))))))))))))))))), 0'(2(1(0(0(1(2(2(1(2(2(1(2(2(1(2(2(0(z0)))))))))))))))))), 1'(0(0(1(2(2(1(2(2(1(2(2(1(2(2(0(z0)))))))))))))))), 0'(0(1(2(2(1(2(2(1(2(2(1(2(2(0(z0))))))))))))))), 0'(1(2(2(1(2(2(1(2(2(1(2(2(0(z0)))))))))))))), 1'(2(2(1(2(2(1(2(2(1(2(2(0(z0))))))))))))), 1'(2(2(1(2(2(1(2(2(0(z0)))))))))), 1'(2(2(1(2(2(0(z0))))))), 1'(2(2(0(z0)))), 0'(z0))
   0'(c_1(c_0(c_1(c_1(c_1(c_1(2(c_0(2(2(2(2(2(2(c_1(c_0(2(c_0(c_1(z0)))))))))))))))))))) -> c14(0'(0(0(2(2(1(0(0(1(2(1(0(2(2(1(0(0(2(2(1(z0)))))))))))))))))))), 0'(0(2(2(1(0(0(1(2(1(0(2(2(1(0(0(2(2(1(z0))))))))))))))))))), 0'(2(2(1(0(0(1(2(1(0(2(2(1(0(0(2(2(1(z0)))))))))))))))))), 1'(0(0(1(2(1(0(2(2(1(0(0(2(2(1(z0))))))))))))))), 0'(0(1(2(1(0(2(2(1(0(0(2(2(1(z0)))))))))))))), 0'(1(2(1(0(2(2(1(0(0(2(2(1(z0))))))))))))), 1'(2(1(0(2(2(1(0(0(2(2(1(z0)))))))))))), 1'(0(2(2(1(0(0(2(2(1(z0)))))))))), 0'(2(2(1(0(0(2(2(1(z0))))))))), 1'(0(0(2(2(1(z0)))))), 0'(0(2(2(1(z0))))), 0'(2(2(1(z0)))), 1'(z0))
   0'(c_0(2(2(c_0(c_0(c_1(c_0(2(2(c_1(c_1(2(2(c_1(c_0(2(2(c_0(c_1(z0)))))))))))))))))))) -> c15(0'(2(0(2(2(1(0(0(2(2(1(2(1(1(0(0(2(0(2(1(z0)))))))))))))))))))), 0'(2(2(1(0(0(2(2(1(2(1(1(0(0(2(0(2(1(z0)))))))))))))))))), 1'(0(0(2(2(1(2(1(1(0(0(2(0(2(1(z0))))))))))))))), 0'(0(2(2(1(2(1(1(0(0(2(0(2(1(z0)))))))))))))), 0'(2(2(1(2(1(1(0(0(2(0(2(1(z0))))))))))))), 1'(2(1(1(0(0(2(0(2(1(z0)))))))))), 1'(1(0(0(2(0(2(1(z0)))))))), 1'(0(0(2(0(2(1(z0))))))), 0'(0(2(0(2(1(z0)))))), 0'(2(0(2(1(z0))))), 0'(2(1(z0))), 1'(z0))
   0'(c_0(2(2(c_1(c_1(c_1(c_0(c_1(c_0(c_1(c_0(c_1(2(2(2(c_1(2(c_0(c_0(z0)))))))))))))))))))) -> c16(0'(1(0(2(0(2(2(1(0(1(0(2(1(2(1(0(1(1(1(2(z0)))))))))))))))))))), 1'(0(2(0(2(2(1(0(1(0(2(1(2(1(0(1(1(1(2(z0))))))))))))))))))), 0'(2(0(2(2(1(0(1(0(2(1(2(1(0(1(1(1(2(z0)))))))))))))))))), 0'(2(2(1(0(1(0(2(1(2(1(0(1(1(1(2(z0)))))))))))))))), 1'(0(1(0(2(1(2(1(0(1(1(1(2(z0))))))))))))), 0'(1(0(2(1(2(1(0(1(1(1(2(z0)))))))))))), 1'(0(2(1(2(1(0(1(1(1(2(z0))))))))))), 0'(2(1(2(1(0(1(1(1(2(z0)))))))))), 1'(2(1(0(1(1(1(2(z0)))))))), 1'(0(1(1(1(2(z0)))))), 0'(1(1(1(2(z0))))), 1'(1(1(2(z0)))), 1'(1(2(z0))), 1'(2(z0)))
   0'(c_1(c_1(c_0(c_0(2(c_0(2(c_1(c_1(c_1(2(c_1(2(c_1(c_0(c_0(c_1(c_1(c_1(z0)))))))))))))))))))) -> c17(0'(1(0(0(2(2(0(0(2(2(0(2(0(0(1(2(1(0(1(2(z0)))))))))))))))))))), 1'(0(0(2(2(0(0(2(2(0(2(0(0(1(2(1(0(1(2(z0))))))))))))))))))), 0'(0(2(2(0(0(2(2(0(2(0(0(1(2(1(0(1(2(z0)))))))))))))))))), 0'(2(2(0(0(2(2(0(2(0(0(1(2(1(0(1(2(z0))))))))))))))))), 0'(0(2(2(0(2(0(0(1(2(1(0(1(2(z0)))))))))))))), 0'(2(2(0(2(0(0(1(2(1(0(1(2(z0))))))))))))), 0'(2(0(0(1(2(1(0(1(2(z0)))))))))), 0'(0(1(2(1(0(1(2(z0)))))))), 0'(1(2(1(0(1(2(z0))))))), 1'(2(1(0(1(2(z0)))))), 1'(0(1(2(z0)))), 0'(1(2(z0))), 1'(2(z0)))
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   0'(c_1(c_1(c_0(2(2(c_0(c_1(2(2(2(c_0(2(2(c_1(2(c_1(2(c_1(c_0(z0)))))))))))))))))))) -> c24(0'(0(2(0(0(2(0(2(1(0(2(2(2(0(0(0(2(1(1(2(z0)))))))))))))))))))), 0'(2(0(0(2(0(2(1(0(2(2(2(0(0(0(2(1(1(2(z0))))))))))))))))))), 0'(0(2(0(2(1(0(2(2(2(0(0(0(2(1(1(2(z0))))))))))))))))), 0'(2(0(2(1(0(2(2(2(0(0(0(2(1(1(2(z0)))))))))))))))), 0'(2(1(0(2(2(2(0(0(0(2(1(1(2(z0)))))))))))))), 1'(0(2(2(2(0(0(0(2(1(1(2(z0)))))))))))), 0'(2(2(2(0(0(0(2(1(1(2(z0))))))))))), 0'(0(0(2(1(1(2(z0))))))), 0'(0(2(1(1(2(z0)))))), 0'(2(1(1(2(z0))))), 1'(1(2(z0))), 1'(2(z0)))
   0'(c_1(c_0(2(c_0(c_0(c_1(2(2(2(c_1(2(2(2(c_0(c_0(c_0(c_1(2(2(z0)))))))))))))))))))) -> c25(0'(1(0(1(1(2(1(0(0(1(0(0(2(2(2(1(0(2(0(0(z0)))))))))))))))))))), 1'(0(1(1(2(1(0(0(1(0(0(2(2(2(1(0(2(0(0(z0))))))))))))))))))), 0'(1(1(2(1(0(0(1(0(0(2(2(2(1(0(2(0(0(z0)))))))))))))))))), 1'(1(2(1(0(0(1(0(0(2(2(2(1(0(2(0(0(z0))))))))))))))))), 1'(2(1(0(0(1(0(0(2(2(2(1(0(2(0(0(z0)))))))))))))))), 1'(0(0(1(0(0(2(2(2(1(0(2(0(0(z0)))))))))))))), 0'(0(1(0(0(2(2(2(1(0(2(0(0(z0))))))))))))), 0'(1(0(0(2(2(2(1(0(2(0(0(z0)))))))))))), 1'(0(0(2(2(2(1(0(2(0(0(z0))))))))))), 0'(0(2(2(2(1(0(2(0(0(z0)))))))))), 0'(2(2(2(1(0(2(0(0(z0))))))))), 1'(0(2(0(0(z0))))), 0'(2(0(0(z0)))), 0'(0(z0)), 0'(z0))
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   0'(c_0(2(c_0(c_0(c_0(2(c_1(2(2(2(c_1(c_1(c_1(c_0(2(c_1(c_1(c_0(c_0(z0)))))))))))))))))))) -> c27(0'(2(0(1(2(0(1(2(0(1(0(1(2(2(1(2(1(0(0(0(z0)))))))))))))))))))), 0'(1(2(0(1(2(0(1(0(1(2(2(1(2(1(0(0(0(z0)))))))))))))))))), 1'(2(0(1(2(0(1(0(1(2(2(1(2(1(0(0(0(z0))))))))))))))))), 0'(1(2(0(1(0(1(2(2(1(2(1(0(0(0(z0))))))))))))))), 1'(2(0(1(0(1(2(2(1(2(1(0(0(0(z0)))))))))))))), 0'(1(0(1(2(2(1(2(1(0(0(0(z0)))))))))))), 1'(0(1(2(2(1(2(1(0(0(0(z0))))))))))), 0'(1(2(2(1(2(1(0(0(0(z0)))))))))), 1'(2(2(1(2(1(0(0(0(z0))))))))), 1'(2(1(0(0(0(z0)))))), 1'(0(0(0(z0)))), 0'(0(0(z0))), 0'(0(z0)), 0'(z0))
   0'(c_1(c_0(2(c_1(c_1(c_1(c_0(2(2(c_1(c_1(c_1(c_1(2(c_0(2(c_1(c_0(c_0(z0)))))))))))))))))))) -> c28(0'(2(1(0(2(0(0(1(2(2(0(0(0(1(1(1(1(0(2(2(z0)))))))))))))))))))), 1'(0(2(0(0(1(2(2(0(0(0(1(1(1(1(0(2(2(z0)))))))))))))))))), 0'(2(0(0(1(2(2(0(0(0(1(1(1(1(0(2(2(z0))))))))))))))))), 0'(0(1(2(2(0(0(0(1(1(1(1(0(2(2(z0))))))))))))))), 0'(1(2(2(0(0(0(1(1(1(1(0(2(2(z0)))))))))))))), 1'(2(2(0(0(0(1(1(1(1(0(2(2(z0))))))))))))), 0'(0(0(1(1(1(1(0(2(2(z0)))))))))), 0'(0(1(1(1(1(0(2(2(z0))))))))), 0'(1(1(1(1(0(2(2(z0)))))))), 1'(1(1(1(0(2(2(z0))))))), 1'(1(1(0(2(2(z0)))))), 1'(1(0(2(2(z0))))), 1'(0(2(2(z0)))), 0'(2(2(z0))))
   0'(2(c_1(c_1(c_0(2(c_1(c_1(c_1(c_1(2(2(c_0(c_1(c_1(c_1(2(2(c_1(c_1(z0)))))))))))))))))))) -> c29(0'(0(2(0(0(1(0(2(2(1(0(1(1(0(0(2(0(2(2(1(z0)))))))))))))))))))), 0'(2(0(0(1(0(2(2(1(0(1(1(0(0(2(0(2(2(1(z0))))))))))))))))))), 0'(0(1(0(2(2(1(0(1(1(0(0(2(0(2(2(1(z0))))))))))))))))), 0'(1(0(2(2(1(0(1(1(0(0(2(0(2(2(1(z0)))))))))))))))), 1'(0(2(2(1(0(1(1(0(0(2(0(2(2(1(z0))))))))))))))), 0'(2(2(1(0(1(1(0(0(2(0(2(2(1(z0)))))))))))))), 1'(0(1(1(0(0(2(0(2(2(1(z0))))))))))), 0'(1(1(0(0(2(0(2(2(1(z0)))))))))), 1'(1(0(0(2(0(2(2(1(z0))))))))), 1'(0(0(2(0(2(2(1(z0)))))))), 0'(0(2(0(2(2(1(z0))))))), 0'(2(0(2(2(1(z0)))))), 0'(2(2(1(z0)))), 1'(z0))
   0'(c_0(2(2(2(c_0(c_1(c_0(c_1(c_1(c_1(c_0(c_1(c_0(c_0(c_0(c_1(c_1(2(c_0(z0)))))))))))))))))))) -> c30(0'(2(0(2(2(2(2(0(2(2(1(0(0(0(0(0(0(2(0(0(z0)))))))))))))))))))), 0'(2(2(2(2(0(2(2(1(0(0(0(0(0(0(2(0(0(z0)))))))))))))))))), 0'(2(2(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)))), 0'(0(z0)), 0'(z0))
   0'(2(c_0(2(c_1(c_0(c_0(c_1(2(c_0(2(c_0(c_1(c_0(c_1(c_1(c_1(2(2(c_1(z0)))))))))))))))))))) -> c31(0'(0(1(0(1(0(1(1(2(1(0(0(0(1(2(2(2(0(1(0(z0)))))))))))))))))))), 0'(1(0(1(0(1(1(2(1(0(0(0(1(2(2(2(0(1(0(z0))))))))))))))))))), 1'(0(1(0(1(1(2(1(0(0(0(1(2(2(2(0(1(0(z0)))))))))))))))))), 0'(1(0(1(1(2(1(0(0(0(1(2(2(2(0(1(0(z0))))))))))))))))), 1'(0(1(1(2(1(0(0(0(1(2(2(2(0(1(0(z0)))))))))))))))), 0'(1(1(2(1(0(0(0(1(2(2(2(0(1(0(z0))))))))))))))), 1'(1(2(1(0(0(0(1(2(2(2(0(1(0(z0)))))))))))))), 1'(2(1(0(0(0(1(2(2(2(0(1(0(z0))))))))))))), 1'(0(0(0(1(2(2(2(0(1(0(z0))))))))))), 0'(0(0(1(2(2(2(0(1(0(z0)))))))))), 0'(0(1(2(2(2(0(1(0(z0))))))))), 0'(1(2(2(2(0(1(0(z0)))))))), 1'(2(2(2(0(1(0(z0))))))), 0'(1(0(z0))), 1'(0(z0)), 0'(z0))
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   0'(c_1(c_0(c_1(2(c_1(c_1(c_1(2(2(c_0(2(c_1(c_1(2(c_1(2(c_0(2(c_1(z0)))))))))))))))))))) -> c42(0'(2(1(2(0(0(2(1(2(2(1(2(1(2(0(2(0(0(2(1(z0)))))))))))))))))))), 1'(2(0(0(2(1(2(2(1(2(1(2(0(2(0(0(2(1(z0)))))))))))))))))), 0'(0(2(1(2(2(1(2(1(2(0(2(0(0(2(1(z0)))))))))))))))), 0'(2(1(2(2(1(2(1(2(0(2(0(0(2(1(z0))))))))))))))), 1'(2(2(1(2(1(2(0(2(0(0(2(1(z0))))))))))))), 1'(2(1(2(0(2(0(0(2(1(z0)))))))))), 1'(2(0(2(0(0(2(1(z0)))))))), 0'(2(0(0(2(1(z0)))))), 0'(0(2(1(z0)))), 0'(2(1(z0))), 1'(z0))
   0'(c_1(c_0(2(c_0(2(c_1(c_1(c_1(c_0(c_1(2(2(c_0(2(c_0(c_1(c_1(2(c_0(z0)))))))))))))))))))) -> c43(0'(0(1(2(0(0(0(0(0(0(1(1(0(2(0(2(1(2(1(0(z0)))))))))))))))))))), 0'(1(2(0(0(0(0(0(0(1(1(0(2(0(2(1(2(1(0(z0))))))))))))))))))), 1'(2(0(0(0(0(0(0(1(1(0(2(0(2(1(2(1(0(z0)))))))))))))))))), 0'(0(0(0(0(0(1(1(0(2(0(2(1(2(1(0(z0)))))))))))))))), 0'(0(0(0(0(1(1(0(2(0(2(1(2(1(0(z0))))))))))))))), 0'(0(0(0(1(1(0(2(0(2(1(2(1(0(z0)))))))))))))), 0'(0(0(1(1(0(2(0(2(1(2(1(0(z0))))))))))))), 0'(0(1(1(0(2(0(2(1(2(1(0(z0)))))))))))), 0'(1(1(0(2(0(2(1(2(1(0(z0))))))))))), 1'(1(0(2(0(2(1(2(1(0(z0)))))))))), 1'(0(2(0(2(1(2(1(0(z0))))))))), 0'(2(0(2(1(2(1(0(z0)))))))), 0'(2(1(2(1(0(z0)))))), 1'(2(1(0(z0)))), 1'(0(z0)), 0'(z0))
   0'(c_1(2(c_0(c_0(c_1(2(c_0(2(c_0(c_0(c_1(c_0(2(c_0(c_0(2(c_1(2(c_0(z0)))))))))))))))))))) -> c44(0'(2(1(2(0(0(0(2(0(0(2(1(2(2(0(2(2(0(0(0(z0)))))))))))))))))))), 1'(2(0(0(0(2(0(0(2(1(2(2(0(2(2(0(0(0(z0)))))))))))))))))), 0'(0(0(2(0(0(2(1(2(2(0(2(2(0(0(0(z0)))))))))))))))), 0'(0(2(0(0(2(1(2(2(0(2(2(0(0(0(z0))))))))))))))), 0'(2(0(0(2(1(2(2(0(2(2(0(0(0(z0)))))))))))))), 0'(0(2(1(2(2(0(2(2(0(0(0(z0)))))))))))), 0'(2(1(2(2(0(2(2(0(0(0(z0))))))))))), 1'(2(2(0(2(2(0(0(0(z0))))))))), 0'(2(2(0(0(0(z0)))))), 0'(0(0(z0))), 0'(0(z0)), 0'(z0))
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   0'(c_0(2(2(c_1(2(c_0(c_1(2(2(c_0(c_1(c_0(c_0(c_0(2(2(c_0(c_0(c_0(z0)))))))))))))))))))) -> c46(0'(0(0(0(2(0(0(0(2(2(2(0(2(0(1(0(1(0(0(0(z0)))))))))))))))))))), 0'(0(0(2(0(0(0(2(2(2(0(2(0(1(0(1(0(0(0(z0))))))))))))))))))), 0'(0(2(0(0(0(2(2(2(0(2(0(1(0(1(0(0(0(z0)))))))))))))))))), 0'(2(0(0(0(2(2(2(0(2(0(1(0(1(0(0(0(z0))))))))))))))))), 0'(0(0(2(2(2(0(2(0(1(0(1(0(0(0(z0))))))))))))))), 0'(0(2(2(2(0(2(0(1(0(1(0(0(0(z0)))))))))))))), 0'(2(2(2(0(2(0(1(0(1(0(0(0(z0))))))))))))), 0'(2(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))
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   0'(c_1(c_0(c_0(2(2(c_0(c_1(2(2(c_1(2(c_1(c_0(c_1(2(2(2(c_1(c_0(z0)))))))))))))))))))) -> c57(0'(0(2(2(0(2(2(2(1(0(2(1(2(0(2(2(0(0(2(2(z0)))))))))))))))))))), 0'(2(2(0(2(2(2(1(0(2(1(2(0(2(2(0(0(2(2(z0))))))))))))))))))), 0'(2(2(2(1(0(2(1(2(0(2(2(0(0(2(2(z0)))))))))))))))), 1'(0(2(1(2(0(2(2(0(0(2(2(z0)))))))))))), 0'(2(1(2(0(2(2(0(0(2(2(z0))))))))))), 1'(2(0(2(2(0(0(2(2(z0))))))))), 0'(2(2(0(0(2(2(z0))))))), 0'(0(2(2(z0)))), 0'(2(2(z0))))
   0'(c_0(c_1(c_0(2(c_0(2(c_1(c_1(c_1(c_0(c_0(c_0(2(2(c_1(2(c_1(c_1(2(z0)))))))))))))))))))) -> c58(0'(2(0(0(2(2(0(2(1(1(2(1(2(1(0(2(2(0(2(0(z0)))))))))))))))))))), 0'(0(2(2(0(2(1(1(2(1(2(1(0(2(2(0(2(0(z0)))))))))))))))))), 0'(2(2(0(2(1(1(2(1(2(1(0(2(2(0(2(0(z0))))))))))))))))), 0'(2(1(1(2(1(2(1(0(2(2(0(2(0(z0)))))))))))))), 1'(1(2(1(2(1(0(2(2(0(2(0(z0)))))))))))), 1'(2(1(2(1(0(2(2(0(2(0(z0))))))))))), 1'(2(1(0(2(2(0(2(0(z0))))))))), 1'(0(2(2(0(2(0(z0))))))), 0'(2(2(0(2(0(z0)))))), 0'(2(0(z0))), 0'(z0))
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   0'(2(c_0(2(c_0(2(c_0(2(c_1(c_1(c_0(2(c_1(c_1(c_1(c_1(2(c_0(2(c_0(z0)))))))))))))))))))) -> c60(0'(1(0(2(1(2(1(1(0(0(2(2(2(0(0(1(2(2(0(0(z0)))))))))))))))))))), 1'(0(2(1(2(1(1(0(0(2(2(2(0(0(1(2(2(0(0(z0))))))))))))))))))), 0'(2(1(2(1(1(0(0(2(2(2(0(0(1(2(2(0(0(z0)))))))))))))))))), 1'(2(1(1(0(0(2(2(2(0(0(1(2(2(0(0(z0)))))))))))))))), 1'(1(0(0(2(2(2(0(0(1(2(2(0(0(z0)))))))))))))), 1'(0(0(2(2(2(0(0(1(2(2(0(0(z0))))))))))))), 0'(0(2(2(2(0(0(1(2(2(0(0(z0)))))))))))), 0'(2(2(2(0(0(1(2(2(0(0(z0))))))))))), 0'(0(1(2(2(0(0(z0))))))), 0'(1(2(2(0(0(z0)))))), 1'(2(2(0(0(z0))))), 0'(0(z0)), 0'(z0))
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   0'(c_1(c_1(c_0(c_1(c_1(c_1(c_1(2(c_0(2(c_0(2(2(2(c_0(c_0(c_0(2(c_1(z0)))))))))))))))))))) -> c86(0'(1(0(1(2(2(2(0(2(2(1(1(2(2(2(0(0(0(1(0(z0)))))))))))))))))))), 1'(0(1(2(2(2(0(2(2(1(1(2(2(2(0(0(0(1(0(z0))))))))))))))))))), 0'(1(2(2(2(0(2(2(1(1(2(2(2(0(0(0(1(0(z0)))))))))))))))))), 1'(2(2(2(0(2(2(1(1(2(2(2(0(0(0(1(0(z0))))))))))))))))), 0'(2(2(1(1(2(2(2(0(0(0(1(0(z0))))))))))))), 1'(1(2(2(2(0(0(0(1(0(z0)))))))))), 1'(2(2(2(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_1(c_0(c_1(2(2(2(c_1(c_1(2(c_1(2(c_1(c_0(2(c_0(c_1(2(c_0(z0)))))))))))))))))))) -> c87(0'(2(0(1(1(2(2(2(1(0(0(2(1(0(0(0(0(2(0(2(z0)))))))))))))))))))), 0'(1(1(2(2(2(1(0(0(2(1(0(0(0(0(2(0(2(z0)))))))))))))))))), 1'(1(2(2(2(1(0(0(2(1(0(0(0(0(2(0(2(z0))))))))))))))))), 1'(2(2(2(1(0(0(2(1(0(0(0(0(2(0(2(z0)))))))))))))))), 1'(0(0(2(1(0(0(0(0(2(0(2(z0)))))))))))), 0'(0(2(1(0(0(0(0(2(0(2(z0))))))))))), 0'(2(1(0(0(0(0(2(0(2(z0)))))))))), 1'(0(0(0(0(2(0(2(z0)))))))), 0'(0(0(0(2(0(2(z0))))))), 0'(0(0(2(0(2(z0)))))), 0'(0(2(0(2(z0))))), 0'(2(0(2(z0)))), 0'(2(z0)))
   0'(c_0(c_0(c_1(2(c_0(2(2(c_1(c_1(c_0(c_1(c_0(c_1(2(c_0(c_1(c_1(c_1(c_1(z0)))))))))))))))))))) -> c88(0'(1(2(0(1(2(1(0(1(0(1(0(2(0(1(1(1(1(0(2(z0)))))))))))))))))))), 1'(2(0(1(2(1(0(1(0(1(0(2(0(1(1(1(1(0(2(z0))))))))))))))))))), 0'(1(2(1(0(1(0(1(0(2(0(1(1(1(1(0(2(z0))))))))))))))))), 1'(2(1(0(1(0(1(0(2(0(1(1(1(1(0(2(z0)))))))))))))))), 1'(0(1(0(1(0(2(0(1(1(1(1(0(2(z0)))))))))))))), 0'(1(0(1(0(2(0(1(1(1(1(0(2(z0))))))))))))), 1'(0(1(0(2(0(1(1(1(1(0(2(z0)))))))))))), 0'(1(0(2(0(1(1(1(1(0(2(z0))))))))))), 1'(0(2(0(1(1(1(1(0(2(z0)))))))))), 0'(2(0(1(1(1(1(0(2(z0))))))))), 0'(1(1(1(1(0(2(z0))))))), 1'(1(1(1(0(2(z0)))))), 1'(1(1(0(2(z0))))), 1'(1(0(2(z0)))), 1'(0(2(z0))), 0'(2(z0)))
   0'(c_0(c_1(2(c_0(c_1(2(c_0(c_1(c_1(c_1(c_0(2(2(c_1(c_0(2(c_1(c_1(2(z0)))))))))))))))))))) -> c89(0'(1(2(2(0(2(2(2(1(0(1(2(2(1(0(0(1(1(1(2(z0)))))))))))))))))))), 1'(2(2(0(2(2(2(1(0(1(2(2(1(0(0(1(1(1(2(z0))))))))))))))))))), 0'(2(2(2(1(0(1(2(2(1(0(0(1(1(1(2(z0)))))))))))))))), 1'(0(1(2(2(1(0(0(1(1(1(2(z0)))))))))))), 0'(1(2(2(1(0(0(1(1(1(2(z0))))))))))), 1'(2(2(1(0(0(1(1(1(2(z0)))))))))), 1'(0(0(1(1(1(2(z0))))))), 0'(0(1(1(1(2(z0)))))), 0'(1(1(1(2(z0))))), 1'(1(1(2(z0)))), 1'(1(2(z0))), 1'(2(z0)))
   0'(c_0(c_1(2(2(c_1(c_1(c_0(2(2(2(c_0(c_1(c_1(c_1(c_1(c_0(c_1(2(c_1(z0)))))))))))))))))))) -> c90(0'(1(2(2(0(1(1(1(2(0(2(0(0(1(2(0(2(1(2(0(z0)))))))))))))))))))), 1'(2(2(0(1(1(1(2(0(2(0(0(1(2(0(2(1(2(0(z0))))))))))))))))))), 0'(1(1(1(2(0(2(0(0(1(2(0(2(1(2(0(z0)))))))))))))))), 1'(1(1(2(0(2(0(0(1(2(0(2(1(2(0(z0))))))))))))))), 1'(1(2(0(2(0(0(1(2(0(2(1(2(0(z0)))))))))))))), 1'(2(0(2(0(0(1(2(0(2(1(2(0(z0))))))))))))), 0'(2(0(0(1(2(0(2(1(2(0(z0))))))))))), 0'(0(1(2(0(2(1(2(0(z0))))))))), 0'(1(2(0(2(1(2(0(z0)))))))), 1'(2(0(2(1(2(0(z0))))))), 0'(2(1(2(0(z0))))), 1'(2(0(z0))), 0'(z0))
   0'(c_1(c_1(2(c_0(2(c_0(2(2(c_1(c_1(2(c_0(c_1(2(2(c_0(c_1(c_0(c_0(z0)))))))))))))))))))) -> c91(0'(1(2(0(0(0(2(1(2(0(1(2(2(2(2(0(1(1(0(1(z0)))))))))))))))))))), 1'(2(0(0(0(2(1(2(0(1(2(2(2(2(0(1(1(0(1(z0))))))))))))))))))), 0'(0(0(2(1(2(0(1(2(2(2(2(0(1(1(0(1(z0))))))))))))))))), 0'(0(2(1(2(0(1(2(2(2(2(0(1(1(0(1(z0)))))))))))))))), 0'(2(1(2(0(1(2(2(2(2(0(1(1(0(1(z0))))))))))))))), 1'(2(0(1(2(2(2(2(0(1(1(0(1(z0))))))))))))), 0'(1(2(2(2(2(0(1(1(0(1(z0))))))))))), 1'(2(2(2(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))
   0'(2(c_1(c_1(2(c_0(2(2(2(c_0(c_1(2(c_0(2(c_0(2(2(c_0(c_0(c_1(z0)))))))))))))))))))) -> c92(0'(0(2(1(2(0(0(0(2(0(1(2(2(2(1(0(1(1(1(0(z0)))))))))))))))))))), 0'(2(1(2(0(0(0(2(0(1(2(2(2(1(0(1(1(1(0(z0))))))))))))))))))), 1'(2(0(0(0(2(0(1(2(2(2(1(0(1(1(1(0(z0))))))))))))))))), 0'(0(0(2(0(1(2(2(2(1(0(1(1(1(0(z0))))))))))))))), 0'(0(2(0(1(2(2(2(1(0(1(1(1(0(z0)))))))))))))), 0'(2(0(1(2(2(2(1(0(1(1(1(0(z0))))))))))))), 0'(1(2(2(2(1(0(1(1(1(0(z0))))))))))), 1'(2(2(2(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))
   0'(c_1(c_0(c_1(c_0(c_1(c_1(c_0(c_0(c_0(c_1(c_0(2(c_1(c_1(2(c_0(c_1(c_0(c_1(z0)))))))))))))))))))) -> c93(0'(0(2(1(1(0(0(2(0(2(1(0(1(1(0(2(2(0(1(2(z0)))))))))))))))))))), 0'(2(1(1(0(0(2(0(2(1(0(1(1(0(2(2(0(1(2(z0))))))))))))))))))), 1'(1(0(0(2(0(2(1(0(1(1(0(2(2(0(1(2(z0))))))))))))))))), 1'(0(0(2(0(2(1(0(1(1(0(2(2(0(1(2(z0)))))))))))))))), 0'(0(2(0(2(1(0(1(1(0(2(2(0(1(2(z0))))))))))))))), 0'(2(0(2(1(0(1(1(0(2(2(0(1(2(z0)))))))))))))), 0'(2(1(0(1(1(0(2(2(0(1(2(z0)))))))))))), 1'(0(1(1(0(2(2(0(1(2(z0)))))))))), 0'(1(1(0(2(2(0(1(2(z0))))))))), 1'(1(0(2(2(0(1(2(z0)))))))), 1'(0(2(2(0(1(2(z0))))))), 0'(2(2(0(1(2(z0)))))), 0'(1(2(z0))), 1'(2(z0)))
   0'(c_0(c_1(2(2(c_0(c_1(c_1(2(c_0(c_0(2(2(c_1(c_0(2(c_1(2(c_1(c_0(z0)))))))))))))))))))) -> c94(0'(2(2(0(2(0(2(1(0(2(0(0(2(2(1(0(0(0(2(0(z0)))))))))))))))))))), 0'(2(0(2(1(0(2(0(0(2(2(1(0(0(0(2(0(z0))))))))))))))))), 0'(2(1(0(2(0(0(2(2(1(0(0(0(2(0(z0))))))))))))))), 1'(0(2(0(0(2(2(1(0(0(0(2(0(z0))))))))))))), 0'(2(0(0(2(2(1(0(0(0(2(0(z0)))))))))))), 0'(0(2(2(1(0(0(0(2(0(z0)))))))))), 0'(2(2(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))), 0'(z0))
   0'(c_0(c_0(2(2(c_1(c_1(2(2(c_0(c_0(2(c_1(2(c_0(c_1(c_1(c_0(2(2(z0)))))))))))))))))))) -> c95(0'(2(2(2(1(0(0(2(1(2(1(2(1(2(1(1(1(2(0(2(z0)))))))))))))))))))), 1'(0(0(2(1(2(1(2(1(2(1(1(1(2(0(2(z0)))))))))))))))), 0'(0(2(1(2(1(2(1(2(1(1(1(2(0(2(z0))))))))))))))), 0'(2(1(2(1(2(1(2(1(1(1(2(0(2(z0)))))))))))))), 1'(2(1(2(1(2(1(1(1(2(0(2(z0)))))))))))), 1'(2(1(2(1(1(1(2(0(2(z0)))))))))), 1'(2(1(1(1(2(0(2(z0)))))))), 1'(1(1(2(0(2(z0)))))), 1'(1(2(0(2(z0))))), 1'(2(0(2(z0)))), 0'(2(z0)))
   0'(c_1(2(c_1(c_0(c_1(2(2(c_1(c_1(c_0(c_0(c_1(c_1(2(2(c_1(c_0(c_1(c_1(z0)))))))))))))))))))) -> c96(0'(2(2(2(0(2(0(2(0(1(2(1(2(2(2(1(0(0(1(0(z0)))))))))))))))))))), 0'(2(0(2(0(1(2(1(2(2(2(1(0(0(1(0(z0)))))))))))))))), 0'(2(0(1(2(1(2(2(2(1(0(0(1(0(z0)))))))))))))), 0'(1(2(1(2(2(2(1(0(0(1(0(z0)))))))))))), 1'(2(1(2(2(2(1(0(0(1(0(z0))))))))))), 1'(2(2(2(1(0(0(1(0(z0))))))))), 1'(0(0(1(0(z0))))), 0'(0(1(0(z0)))), 0'(1(0(z0))), 1'(0(z0)), 0'(z0))
   0'(2(2(c_1(c_1(2(2(c_1(c_0(2(c_1(2(c_1(c_1(2(2(2(c_0(2(c_0(z0)))))))))))))))))))) -> c97(0'(2(1(2(2(2(1(0(0(1(0(0(0(1(2(1(1(2(2(1(z0)))))))))))))))))))), 1'(2(2(2(1(0(0(1(0(0(0(1(2(1(1(2(2(1(z0)))))))))))))))))), 1'(0(0(1(0(0(0(1(2(1(1(2(2(1(z0)))))))))))))), 0'(0(1(0(0(0(1(2(1(1(2(2(1(z0))))))))))))), 0'(1(0(0(0(1(2(1(1(2(2(1(z0)))))))))))), 1'(0(0(0(1(2(1(1(2(2(1(z0))))))))))), 0'(0(0(1(2(1(1(2(2(1(z0)))))))))), 0'(0(1(2(1(1(2(2(1(z0))))))))), 0'(1(2(1(1(2(2(1(z0)))))))), 1'(2(1(1(2(2(1(z0))))))), 1'(1(2(2(1(z0))))), 1'(2(2(1(z0)))), 1'(z0))
   0'(c_1(c_1(c_1(2(2(c_1(2(c_1(c_1(c_1(c_0(c_0(c_1(c_1(c_1(2(c_1(c_1(c_0(z0)))))))))))))))))))) -> c98(0'(0(1(0(2(0(1(1(1(2(0(2(1(2(2(0(2(1(2(1(z0)))))))))))))))))))), 0'(1(0(2(0(1(1(1(2(0(2(1(2(2(0(2(1(2(1(z0))))))))))))))))))), 1'(0(2(0(1(1(1(2(0(2(1(2(2(0(2(1(2(1(z0)))))))))))))))))), 0'(2(0(1(1(1(2(0(2(1(2(2(0(2(1(2(1(z0))))))))))))))))), 0'(1(1(1(2(0(2(1(2(2(0(2(1(2(1(z0))))))))))))))), 1'(1(1(2(0(2(1(2(2(0(2(1(2(1(z0)))))))))))))), 1'(1(2(0(2(1(2(2(0(2(1(2(1(z0))))))))))))), 1'(2(0(2(1(2(2(0(2(1(2(1(z0)))))))))))), 0'(2(1(2(2(0(2(1(2(1(z0)))))))))), 1'(2(2(0(2(1(2(1(z0)))))))), 0'(2(1(2(1(z0))))), 1'(2(1(z0))), 1'(z0))
   0'(c_0(2(c_0(c_1(c_1(2(c_0(2(c_1(c_0(2(2(c_1(c_1(c_0(c_1(2(c_0(c_1(z0)))))))))))))))))))) -> c99(0'(1(2(0(2(0(1(0(1(2(1(0(0(2(2(1(0(1(0(1(z0)))))))))))))))))))), 1'(2(0(2(0(1(0(1(2(1(0(0(2(2(1(0(1(0(1(z0))))))))))))))))))), 0'(2(0(1(0(1(2(1(0(0(2(2(1(0(1(0(1(z0))))))))))))))))), 0'(1(0(1(2(1(0(0(2(2(1(0(1(0(1(z0))))))))))))))), 1'(0(1(2(1(0(0(2(2(1(0(1(0(1(z0)))))))))))))), 0'(1(2(1(0(0(2(2(1(0(1(0(1(z0))))))))))))), 1'(2(1(0(0(2(2(1(0(1(0(1(z0)))))))))))), 1'(0(0(2(2(1(0(1(0(1(z0)))))))))), 0'(0(2(2(1(0(1(0(1(z0))))))))), 0'(2(2(1(0(1(0(1(z0)))))))), 1'(0(1(0(1(z0))))), 0'(1(0(1(z0)))), 1'(0(1(z0))), 0'(1(z0)), 1'(z0))
   0'(c_1(c_1(2(2(2(2(c_1(c_0(2(c_0(c_0(c_1(2(2(c_1(2(2(2(2(z0)))))))))))))))))))) -> c100(0'(1(0(0(2(0(0(1(2(1(2(0(1(2(2(1(0(2(0(2(z0)))))))))))))))))))), 1'(0(0(2(0(0(1(2(1(2(0(1(2(2(1(0(2(0(2(z0))))))))))))))))))), 0'(0(2(0(0(1(2(1(2(0(1(2(2(1(0(2(0(2(z0)))))))))))))))))), 0'(2(0(0(1(2(1(2(0(1(2(2(1(0(2(0(2(z0))))))))))))))))), 0'(0(1(2(1(2(0(1(2(2(1(0(2(0(2(z0))))))))))))))), 0'(1(2(1(2(0(1(2(2(1(0(2(0(2(z0)))))))))))))), 1'(2(1(2(0(1(2(2(1(0(2(0(2(z0))))))))))))), 1'(2(0(1(2(2(1(0(2(0(2(z0))))))))))), 0'(1(2(2(1(0(2(0(2(z0))))))))), 1'(2(2(1(0(2(0(2(z0)))))))), 1'(0(2(0(2(z0))))), 0'(2(0(2(z0)))), 0'(2(z0)))
   0'(2(c_0(c_1(2(c_1(c_1(c_1(c_1(2(c_0(2(c_1(2(c_0(c_1(2(2(c_0(c_1(z0)))))))))))))))))))) -> c101(0'(1(1(1(1(2(1(0(0(1(1(0(2(1(0(0(2(0(0(1(z0)))))))))))))))))))), 1'(1(1(1(2(1(0(0(1(1(0(2(1(0(0(2(0(0(1(z0))))))))))))))))))), 1'(1(1(2(1(0(0(1(1(0(2(1(0(0(2(0(0(1(z0)))))))))))))))))), 1'(1(2(1(0(0(1(1(0(2(1(0(0(2(0(0(1(z0))))))))))))))))), 1'(2(1(0(0(1(1(0(2(1(0(0(2(0(0(1(z0)))))))))))))))), 1'(0(0(1(1(0(2(1(0(0(2(0(0(1(z0)))))))))))))), 0'(0(1(1(0(2(1(0(0(2(0(0(1(z0))))))))))))), 0'(1(1(0(2(1(0(0(2(0(0(1(z0)))))))))))), 1'(1(0(2(1(0(0(2(0(0(1(z0))))))))))), 1'(0(2(1(0(0(2(0(0(1(z0)))))))))), 0'(2(1(0(0(2(0(0(1(z0))))))))), 1'(0(0(2(0(0(1(z0))))))), 0'(0(2(0(0(1(z0)))))), 0'(2(0(0(1(z0))))), 0'(0(1(z0))), 0'(1(z0)), 1'(z0))
   0'(c_1(c_0(c_1(c_1(2(c_1(c_0(c_0(c_0(2(2(2(c_1(2(c_1(2(c_1(c_0(2(z0)))))))))))))))))))) -> c102(0'(1(0(0(2(2(1(2(1(0(1(0(0(0(2(0(0(2(1(2(z0)))))))))))))))))))), 1'(0(0(2(2(1(2(1(0(1(0(0(0(2(0(0(2(1(2(z0))))))))))))))))))), 0'(0(2(2(1(2(1(0(1(0(0(0(2(0(0(2(1(2(z0)))))))))))))))))), 0'(2(2(1(2(1(0(1(0(0(0(2(0(0(2(1(2(z0))))))))))))))))), 1'(2(1(0(1(0(0(0(2(0(0(2(1(2(z0)))))))))))))), 1'(0(1(0(0(0(2(0(0(2(1(2(z0)))))))))))), 0'(1(0(0(0(2(0(0(2(1(2(z0))))))))))), 1'(0(0(0(2(0(0(2(1(2(z0)))))))))), 0'(0(0(2(0(0(2(1(2(z0))))))))), 0'(0(2(0(0(2(1(2(z0)))))))), 0'(2(0(0(2(1(2(z0))))))), 0'(0(2(1(2(z0))))), 0'(2(1(2(z0)))), 1'(2(z0)))
   0'(c_0(c_1(c_0(2(c_1(2(2(2(2(c_0(c_1(2(c_0(c_1(c_1(2(2(c_0(2(z0)))))))))))))))))))) -> c103(0'(0(2(1(1(0(0(2(2(2(0(1(2(2(0(1(2(2(0(2(z0)))))))))))))))))))), 0'(2(1(1(0(0(2(2(2(0(1(2(2(0(1(2(2(0(2(z0))))))))))))))))))), 1'(1(0(0(2(2(2(0(1(2(2(0(1(2(2(0(2(z0))))))))))))))))), 1'(0(0(2(2(2(0(1(2(2(0(1(2(2(0(2(z0)))))))))))))))), 0'(0(2(2(2(0(1(2(2(0(1(2(2(0(2(z0))))))))))))))), 0'(2(2(2(0(1(2(2(0(1(2(2(0(2(z0)))))))))))))), 0'(1(2(2(0(1(2(2(0(2(z0)))))))))), 1'(2(2(0(1(2(2(0(2(z0))))))))), 0'(1(2(2(0(2(z0)))))), 1'(2(2(0(2(z0))))), 0'(2(z0)))
   0'(c_1(c_1(c_0(c_1(2(c_1(2(c_0(2(2(c_1(c_0(c_0(2(c_0(c_1(c_0(c_1(c_1(z0)))))))))))))))))))) -> c104(0'(0(0(1(2(0(2(2(2(0(1(0(1(2(1(1(1(0(2(0(z0)))))))))))))))))))), 0'(0(1(2(0(2(2(2(0(1(0(1(2(1(1(1(0(2(0(z0))))))))))))))))))), 0'(1(2(0(2(2(2(0(1(0(1(2(1(1(1(0(2(0(z0)))))))))))))))))), 1'(2(0(2(2(2(0(1(0(1(2(1(1(1(0(2(0(z0))))))))))))))))), 0'(2(2(2(0(1(0(1(2(1(1(1(0(2(0(z0))))))))))))))), 0'(1(0(1(2(1(1(1(0(2(0(z0))))))))))), 1'(0(1(2(1(1(1(0(2(0(z0)))))))))), 0'(1(2(1(1(1(0(2(0(z0))))))))), 1'(2(1(1(1(0(2(0(z0)))))))), 1'(1(1(0(2(0(z0)))))), 1'(1(0(2(0(z0))))), 1'(0(2(0(z0)))), 0'(2(0(z0))), 0'(z0))
   1'(2(2(c_0(2(c_0(2(c_1(2(c_1(2(c_1(c_0(c_0(c_1(c_0(c_0(2(c_0(c_1(z0)))))))))))))))))))) -> c106(1'(0(1(2(0(1(0(0(1(0(0(0(2(1(0(0(1(0(0(2(z0)))))))))))))))))))), 0'(1(2(0(1(0(0(1(0(0(0(2(1(0(0(1(0(0(2(z0))))))))))))))))))), 1'(2(0(1(0(0(1(0(0(0(2(1(0(0(1(0(0(2(z0)))))))))))))))))), 0'(1(0(0(1(0(0(0(2(1(0(0(1(0(0(2(z0)))))))))))))))), 1'(0(0(1(0(0(0(2(1(0(0(1(0(0(2(z0))))))))))))))), 0'(0(1(0(0(0(2(1(0(0(1(0(0(2(z0)))))))))))))), 0'(1(0(0(0(2(1(0(0(1(0(0(2(z0))))))))))))), 1'(0(0(0(2(1(0(0(1(0(0(2(z0)))))))))))), 0'(0(0(2(1(0(0(1(0(0(2(z0))))))))))), 0'(0(2(1(0(0(1(0(0(2(z0)))))))))), 0'(2(1(0(0(1(0(0(2(z0))))))))), 1'(0(0(1(0(0(2(z0))))))), 0'(0(1(0(0(2(z0)))))), 0'(1(0(0(2(z0))))), 1'(0(0(2(z0)))), 0'(0(2(z0))), 0'(2(z0)))
S tuples:
   0'(c_0(c_1(c_0(2(2(c_1(2(c_0(c_0(c_1(c_1(2(2(2(c_1(c_1(2(c_1(c_1(z0)))))))))))))))))))) -> c7(0'(2(0(2(2(0(0(1(2(0(2(0(0(1(1(0(0(2(1(1(z0)))))))))))))))))))), 0'(2(2(0(0(1(2(0(2(0(0(1(1(0(0(2(1(1(z0)))))))))))))))))), 0'(0(1(2(0(2(0(0(1(1(0(0(2(1(1(z0))))))))))))))), 0'(1(2(0(2(0(0(1(1(0(0(2(1(1(z0)))))))))))))), 1'(2(0(2(0(0(1(1(0(0(2(1(1(z0))))))))))))), 0'(2(0(0(1(1(0(0(2(1(1(z0))))))))))), 0'(0(1(1(0(0(2(1(1(z0))))))))), 0'(1(1(0(0(2(1(1(z0)))))))), 1'(1(0(0(2(1(1(z0))))))), 1'(0(0(2(1(1(z0)))))), 0'(0(2(1(1(z0))))), 0'(2(1(1(z0)))), 1'(1(z0)), 1'(z0))
   0'(c_1(c_0(c_1(2(c_1(c_1(c_1(c_0(c_0(c_1(c_1(2(2(2(c_0(2(c_0(c_1(2(z0)))))))))))))))))))) -> c8(0'(2(1(1(2(1(0(2(0(1(1(0(2(0(1(0(2(2(0(2(z0)))))))))))))))))))), 1'(1(2(1(0(2(0(1(1(0(2(0(1(0(2(2(0(2(z0)))))))))))))))))), 1'(2(1(0(2(0(1(1(0(2(0(1(0(2(2(0(2(z0))))))))))))))))), 1'(0(2(0(1(1(0(2(0(1(0(2(2(0(2(z0))))))))))))))), 0'(2(0(1(1(0(2(0(1(0(2(2(0(2(z0)))))))))))))), 0'(1(1(0(2(0(1(0(2(2(0(2(z0)))))))))))), 1'(1(0(2(0(1(0(2(2(0(2(z0))))))))))), 1'(0(2(0(1(0(2(2(0(2(z0)))))))))), 0'(2(0(1(0(2(2(0(2(z0))))))))), 0'(1(0(2(2(0(2(z0))))))), 1'(0(2(2(0(2(z0)))))), 0'(2(2(0(2(z0))))), 0'(2(z0)))
   0'(2(c_1(c_1(c_1(c_0(2(c_1(c_1(c_0(c_1(c_0(2(2(c_0(c_0(2(c_0(2(c_1(z0)))))))))))))))))))) -> c9(0'(1(0(1(2(2(2(1(1(0(2(2(1(2(0(0(0(0(2(1(z0)))))))))))))))))))), 1'(0(1(2(2(2(1(1(0(2(2(1(2(0(0(0(0(2(1(z0))))))))))))))))))), 0'(1(2(2(2(1(1(0(2(2(1(2(0(0(0(0(2(1(z0)))))))))))))))))), 1'(2(2(2(1(1(0(2(2(1(2(0(0(0(0(2(1(z0))))))))))))))))), 1'(1(0(2(2(1(2(0(0(0(0(2(1(z0))))))))))))), 1'(0(2(2(1(2(0(0(0(0(2(1(z0)))))))))))), 0'(2(2(1(2(0(0(0(0(2(1(z0))))))))))), 1'(2(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))), 1'(z0))
   0'(c_1(c_0(2(2(c_1(c_1(c_0(c_1(c_0(2(2(c_1(c_0(2(c_0(c_1(c_0(c_1(c_1(z0)))))))))))))))))))) -> c10(0'(1(2(0(0(2(2(0(0(0(0(2(1(2(1(0(1(2(0(2(z0)))))))))))))))))))), 1'(2(0(0(2(2(0(0(0(0(2(1(2(1(0(1(2(0(2(z0))))))))))))))))))), 0'(0(2(2(0(0(0(0(2(1(2(1(0(1(2(0(2(z0))))))))))))))))), 0'(2(2(0(0(0(0(2(1(2(1(0(1(2(0(2(z0)))))))))))))))), 0'(0(0(0(2(1(2(1(0(1(2(0(2(z0))))))))))))), 0'(0(0(2(1(2(1(0(1(2(0(2(z0)))))))))))), 0'(0(2(1(2(1(0(1(2(0(2(z0))))))))))), 0'(2(1(2(1(0(1(2(0(2(z0)))))))))), 1'(2(1(0(1(2(0(2(z0)))))))), 1'(0(1(2(0(2(z0)))))), 0'(1(2(0(2(z0))))), 1'(2(0(2(z0)))), 0'(2(z0)))
   0'(2(c_1(2(c_0(c_1(c_1(c_1(2(c_0(c_1(c_1(2(c_1(2(c_0(2(c_0(2(c_0(z0)))))))))))))))))))) -> c11(0'(1(2(1(1(0(1(1(2(1(2(0(1(0(1(2(2(0(2(2(z0)))))))))))))))))))), 1'(2(1(1(0(1(1(2(1(2(0(1(0(1(2(2(0(2(2(z0))))))))))))))))))), 1'(1(0(1(1(2(1(2(0(1(0(1(2(2(0(2(2(z0))))))))))))))))), 1'(0(1(1(2(1(2(0(1(0(1(2(2(0(2(2(z0)))))))))))))))), 0'(1(1(2(1(2(0(1(0(1(2(2(0(2(2(z0))))))))))))))), 1'(1(2(1(2(0(1(0(1(2(2(0(2(2(z0)))))))))))))), 1'(2(1(2(0(1(0(1(2(2(0(2(2(z0))))))))))))), 1'(2(0(1(0(1(2(2(0(2(2(z0))))))))))), 0'(1(0(1(2(2(0(2(2(z0))))))))), 1'(0(1(2(2(0(2(2(z0)))))))), 0'(1(2(2(0(2(2(z0))))))), 1'(2(2(0(2(2(z0)))))), 0'(2(2(z0))))
   0'(c_0(c_1(c_0(c_0(c_1(c_1(2(c_1(c_1(2(2(c_1(c_1(2(2(c_1(c_1(c_0(2(z0)))))))))))))))))))) -> c12(0'(1(1(0(0(2(0(0(2(0(2(1(1(1(1(1(0(2(0(2(z0)))))))))))))))))))), 1'(1(0(0(2(0(0(2(0(2(1(1(1(1(1(0(2(0(2(z0))))))))))))))))))), 1'(0(0(2(0(0(2(0(2(1(1(1(1(1(0(2(0(2(z0)))))))))))))))))), 0'(0(2(0(0(2(0(2(1(1(1(1(1(0(2(0(2(z0))))))))))))))))), 0'(2(0(0(2(0(2(1(1(1(1(1(0(2(0(2(z0)))))))))))))))), 0'(0(2(0(2(1(1(1(1(1(0(2(0(2(z0)))))))))))))), 0'(2(0(2(1(1(1(1(1(0(2(0(2(z0))))))))))))), 0'(2(1(1(1(1(1(0(2(0(2(z0))))))))))), 1'(1(1(1(1(0(2(0(2(z0))))))))), 1'(1(1(1(0(2(0(2(z0)))))))), 1'(1(1(0(2(0(2(z0))))))), 1'(1(0(2(0(2(z0)))))), 1'(0(2(0(2(z0))))), 0'(2(0(2(z0)))), 0'(2(z0)))
   0'(c_1(c_1(c_0(c_1(c_0(2(c_1(c_1(2(2(c_0(2(c_0(2(c_0(2(2(c_0(c_1(z0)))))))))))))))))))) -> c13(0'(2(0(2(1(0(0(1(2(2(1(2(2(1(2(2(1(2(2(0(z0)))))))))))))))))))), 0'(2(1(0(0(1(2(2(1(2(2(1(2(2(1(2(2(0(z0)))))))))))))))))), 1'(0(0(1(2(2(1(2(2(1(2(2(1(2(2(0(z0)))))))))))))))), 0'(0(1(2(2(1(2(2(1(2(2(1(2(2(0(z0))))))))))))))), 0'(1(2(2(1(2(2(1(2(2(1(2(2(0(z0)))))))))))))), 1'(2(2(1(2(2(1(2(2(1(2(2(0(z0))))))))))))), 1'(2(2(1(2(2(1(2(2(0(z0)))))))))), 1'(2(2(1(2(2(0(z0))))))), 1'(2(2(0(z0)))), 0'(z0))
   0'(c_1(c_0(c_1(c_1(c_1(c_1(2(c_0(2(2(2(2(2(2(c_1(c_0(2(c_0(c_1(z0)))))))))))))))))))) -> c14(0'(0(0(2(2(1(0(0(1(2(1(0(2(2(1(0(0(2(2(1(z0)))))))))))))))))))), 0'(0(2(2(1(0(0(1(2(1(0(2(2(1(0(0(2(2(1(z0))))))))))))))))))), 0'(2(2(1(0(0(1(2(1(0(2(2(1(0(0(2(2(1(z0)))))))))))))))))), 1'(0(0(1(2(1(0(2(2(1(0(0(2(2(1(z0))))))))))))))), 0'(0(1(2(1(0(2(2(1(0(0(2(2(1(z0)))))))))))))), 0'(1(2(1(0(2(2(1(0(0(2(2(1(z0))))))))))))), 1'(2(1(0(2(2(1(0(0(2(2(1(z0)))))))))))), 1'(0(2(2(1(0(0(2(2(1(z0)))))))))), 0'(2(2(1(0(0(2(2(1(z0))))))))), 1'(0(0(2(2(1(z0)))))), 0'(0(2(2(1(z0))))), 0'(2(2(1(z0)))), 1'(z0))
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   0'(2(c_0(c_1(c_1(c_1(c_0(c_1(2(2(c_0(2(c_0(2(c_0(2(c_1(2(c_0(c_1(z0)))))))))))))))))))) -> c22(0'(2(2(0(1(2(2(2(2(1(0(2(1(2(0(0(2(2(2(1(z0)))))))))))))))))))), 0'(1(2(2(2(2(1(0(2(1(2(0(0(2(2(2(1(z0))))))))))))))))), 1'(2(2(2(2(1(0(2(1(2(0(0(2(2(2(1(z0)))))))))))))))), 1'(0(2(1(2(0(0(2(2(2(1(z0))))))))))), 0'(2(1(2(0(0(2(2(2(1(z0)))))))))), 1'(2(0(0(2(2(2(1(z0)))))))), 0'(0(2(2(2(1(z0)))))), 0'(2(2(2(1(z0))))), 1'(z0))
   0'(c_0(2(c_1(c_0(c_1(c_0(c_0(2(c_0(c_1(c_1(c_0(2(c_0(2(2(2(2(c_0(z0)))))))))))))))))))) -> c23(0'(2(2(0(0(0(2(1(0(0(0(1(1(2(0(1(1(0(0(0(z0)))))))))))))))))))), 0'(0(0(2(1(0(0(0(1(1(2(0(1(1(0(0(0(z0))))))))))))))))), 0'(0(2(1(0(0(0(1(1(2(0(1(1(0(0(0(z0)))))))))))))))), 0'(2(1(0(0(0(1(1(2(0(1(1(0(0(0(z0))))))))))))))), 1'(0(0(0(1(1(2(0(1(1(0(0(0(z0))))))))))))), 0'(0(0(1(1(2(0(1(1(0(0(0(z0)))))))))))), 0'(0(1(1(2(0(1(1(0(0(0(z0))))))))))), 0'(1(1(2(0(1(1(0(0(0(z0)))))))))), 1'(1(2(0(1(1(0(0(0(z0))))))))), 1'(2(0(1(1(0(0(0(z0)))))))), 0'(1(1(0(0(0(z0)))))), 1'(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(2(2(c_0(c_1(2(2(2(c_0(2(2(c_1(2(c_1(2(c_1(c_0(z0)))))))))))))))))))) -> c24(0'(0(2(0(0(2(0(2(1(0(2(2(2(0(0(0(2(1(1(2(z0)))))))))))))))))))), 0'(2(0(0(2(0(2(1(0(2(2(2(0(0(0(2(1(1(2(z0))))))))))))))))))), 0'(0(2(0(2(1(0(2(2(2(0(0(0(2(1(1(2(z0))))))))))))))))), 0'(2(0(2(1(0(2(2(2(0(0(0(2(1(1(2(z0)))))))))))))))), 0'(2(1(0(2(2(2(0(0(0(2(1(1(2(z0)))))))))))))), 1'(0(2(2(2(0(0(0(2(1(1(2(z0)))))))))))), 0'(2(2(2(0(0(0(2(1(1(2(z0))))))))))), 0'(0(0(2(1(1(2(z0))))))), 0'(0(2(1(1(2(z0)))))), 0'(2(1(1(2(z0))))), 1'(1(2(z0))), 1'(2(z0)))
   0'(c_1(c_0(2(c_0(c_0(c_1(2(2(2(c_1(2(2(2(c_0(c_0(c_0(c_1(2(2(z0)))))))))))))))))))) -> c25(0'(1(0(1(1(2(1(0(0(1(0(0(2(2(2(1(0(2(0(0(z0)))))))))))))))))))), 1'(0(1(1(2(1(0(0(1(0(0(2(2(2(1(0(2(0(0(z0))))))))))))))))))), 0'(1(1(2(1(0(0(1(0(0(2(2(2(1(0(2(0(0(z0)))))))))))))))))), 1'(1(2(1(0(0(1(0(0(2(2(2(1(0(2(0(0(z0))))))))))))))))), 1'(2(1(0(0(1(0(0(2(2(2(1(0(2(0(0(z0)))))))))))))))), 1'(0(0(1(0(0(2(2(2(1(0(2(0(0(z0)))))))))))))), 0'(0(1(0(0(2(2(2(1(0(2(0(0(z0))))))))))))), 0'(1(0(0(2(2(2(1(0(2(0(0(z0)))))))))))), 1'(0(0(2(2(2(1(0(2(0(0(z0))))))))))), 0'(0(2(2(2(1(0(2(0(0(z0)))))))))), 0'(2(2(2(1(0(2(0(0(z0))))))))), 1'(0(2(0(0(z0))))), 0'(2(0(0(z0)))), 0'(0(z0)), 0'(z0))
   0'(c_1(c_1(2(c_1(c_1(c_1(c_1(c_0(c_0(c_0(c_0(c_1(c_1(c_0(c_1(c_0(c_1(c_1(c_0(z0)))))))))))))))))))) -> c26(0'(0(0(1(0(1(0(1(1(1(2(0(1(2(2(0(2(2(0(2(z0)))))))))))))))))))), 0'(0(1(0(1(0(1(1(1(2(0(1(2(2(0(2(2(0(2(z0))))))))))))))))))), 0'(1(0(1(0(1(1(1(2(0(1(2(2(0(2(2(0(2(z0)))))))))))))))))), 1'(0(1(0(1(1(1(2(0(1(2(2(0(2(2(0(2(z0))))))))))))))))), 0'(1(0(1(1(1(2(0(1(2(2(0(2(2(0(2(z0)))))))))))))))), 1'(0(1(1(1(2(0(1(2(2(0(2(2(0(2(z0))))))))))))))), 0'(1(1(1(2(0(1(2(2(0(2(2(0(2(z0)))))))))))))), 1'(1(1(2(0(1(2(2(0(2(2(0(2(z0))))))))))))), 1'(1(2(0(1(2(2(0(2(2(0(2(z0)))))))))))), 1'(2(0(1(2(2(0(2(2(0(2(z0))))))))))), 0'(1(2(2(0(2(2(0(2(z0))))))))), 1'(2(2(0(2(2(0(2(z0)))))))), 0'(2(2(0(2(z0))))), 0'(2(z0)))
   0'(c_0(2(c_0(c_0(c_0(2(c_1(2(2(2(c_1(c_1(c_1(c_0(2(c_1(c_1(c_0(c_0(z0)))))))))))))))))))) -> c27(0'(2(0(1(2(0(1(2(0(1(0(1(2(2(1(2(1(0(0(0(z0)))))))))))))))))))), 0'(1(2(0(1(2(0(1(0(1(2(2(1(2(1(0(0(0(z0)))))))))))))))))), 1'(2(0(1(2(0(1(0(1(2(2(1(2(1(0(0(0(z0))))))))))))))))), 0'(1(2(0(1(0(1(2(2(1(2(1(0(0(0(z0))))))))))))))), 1'(2(0(1(0(1(2(2(1(2(1(0(0(0(z0)))))))))))))), 0'(1(0(1(2(2(1(2(1(0(0(0(z0)))))))))))), 1'(0(1(2(2(1(2(1(0(0(0(z0))))))))))), 0'(1(2(2(1(2(1(0(0(0(z0)))))))))), 1'(2(2(1(2(1(0(0(0(z0))))))))), 1'(2(1(0(0(0(z0)))))), 1'(0(0(0(z0)))), 0'(0(0(z0))), 0'(0(z0)), 0'(z0))
   0'(c_1(c_0(2(c_1(c_1(c_1(c_0(2(2(c_1(c_1(c_1(c_1(2(c_0(2(c_1(c_0(c_0(z0)))))))))))))))))))) -> c28(0'(2(1(0(2(0(0(1(2(2(0(0(0(1(1(1(1(0(2(2(z0)))))))))))))))))))), 1'(0(2(0(0(1(2(2(0(0(0(1(1(1(1(0(2(2(z0)))))))))))))))))), 0'(2(0(0(1(2(2(0(0(0(1(1(1(1(0(2(2(z0))))))))))))))))), 0'(0(1(2(2(0(0(0(1(1(1(1(0(2(2(z0))))))))))))))), 0'(1(2(2(0(0(0(1(1(1(1(0(2(2(z0)))))))))))))), 1'(2(2(0(0(0(1(1(1(1(0(2(2(z0))))))))))))), 0'(0(0(1(1(1(1(0(2(2(z0)))))))))), 0'(0(1(1(1(1(0(2(2(z0))))))))), 0'(1(1(1(1(0(2(2(z0)))))))), 1'(1(1(1(0(2(2(z0))))))), 1'(1(1(0(2(2(z0)))))), 1'(1(0(2(2(z0))))), 1'(0(2(2(z0)))), 0'(2(2(z0))))
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   0'(2(c_1(c_1(c_1(c_1(c_0(c_0(c_0(c_0(2(c_1(2(c_0(c_0(2(c_1(c_0(2(c_1(z0)))))))))))))))))))) -> c56(0'(0(0(1(0(1(1(2(0(2(0(0(2(2(2(2(1(0(2(1(z0)))))))))))))))))))), 0'(0(1(0(1(1(2(0(2(0(0(2(2(2(2(1(0(2(1(z0))))))))))))))))))), 0'(1(0(1(1(2(0(2(0(0(2(2(2(2(1(0(2(1(z0)))))))))))))))))), 1'(0(1(1(2(0(2(0(0(2(2(2(2(1(0(2(1(z0))))))))))))))))), 0'(1(1(2(0(2(0(0(2(2(2(2(1(0(2(1(z0)))))))))))))))), 1'(1(2(0(2(0(0(2(2(2(2(1(0(2(1(z0))))))))))))))), 1'(2(0(2(0(0(2(2(2(2(1(0(2(1(z0)))))))))))))), 0'(2(0(0(2(2(2(2(1(0(2(1(z0)))))))))))), 0'(0(2(2(2(2(1(0(2(1(z0)))))))))), 0'(2(2(2(2(1(0(2(1(z0))))))))), 1'(0(2(1(z0)))), 0'(2(1(z0))), 1'(z0))
   0'(c_1(c_0(c_0(2(2(c_0(c_1(2(2(c_1(2(c_1(c_0(c_1(2(2(2(c_1(c_0(z0)))))))))))))))))))) -> c57(0'(0(2(2(0(2(2(2(1(0(2(1(2(0(2(2(0(0(2(2(z0)))))))))))))))))))), 0'(2(2(0(2(2(2(1(0(2(1(2(0(2(2(0(0(2(2(z0))))))))))))))))))), 0'(2(2(2(1(0(2(1(2(0(2(2(0(0(2(2(z0)))))))))))))))), 1'(0(2(1(2(0(2(2(0(0(2(2(z0)))))))))))), 0'(2(1(2(0(2(2(0(0(2(2(z0))))))))))), 1'(2(0(2(2(0(0(2(2(z0))))))))), 0'(2(2(0(0(2(2(z0))))))), 0'(0(2(2(z0)))), 0'(2(2(z0))))
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   0'(c_0(2(2(c_0(c_1(c_0(2(c_1(2(c_1(c_1(2(2(2(c_1(c_1(2(c_0(2(z0)))))))))))))))))))) -> c67(0'(0(1(2(1(2(1(2(1(2(0(1(2(1(0(0(0(1(2(0(z0)))))))))))))))))))), 0'(1(2(1(2(1(2(1(2(0(1(2(1(0(0(0(1(2(0(z0))))))))))))))))))), 1'(2(1(2(1(2(1(2(0(1(2(1(0(0(0(1(2(0(z0)))))))))))))))))), 1'(2(1(2(1(2(0(1(2(1(0(0(0(1(2(0(z0)))))))))))))))), 1'(2(1(2(0(1(2(1(0(0(0(1(2(0(z0)))))))))))))), 1'(2(0(1(2(1(0(0(0(1(2(0(z0)))))))))))), 0'(1(2(1(0(0(0(1(2(0(z0)))))))))), 1'(2(1(0(0(0(1(2(0(z0))))))))), 1'(0(0(0(1(2(0(z0))))))), 0'(0(0(1(2(0(z0)))))), 0'(0(1(2(0(z0))))), 0'(1(2(0(z0)))), 1'(2(0(z0))), 0'(z0))
   0'(2(c_0(2(c_0(2(c_1(2(2(c_0(c_1(c_1(c_1(2(c_1(c_1(c_0(2(c_0(c_1(z0)))))))))))))))))))) -> c68(0'(2(0(0(1(1(1(0(2(1(1(2(0(0(0(2(2(1(1(0(z0)))))))))))))))))))), 0'(0(1(1(1(0(2(1(1(2(0(0(0(2(2(1(1(0(z0)))))))))))))))))), 0'(1(1(1(0(2(1(1(2(0(0(0(2(2(1(1(0(z0))))))))))))))))), 1'(1(1(0(2(1(1(2(0(0(0(2(2(1(1(0(z0)))))))))))))))), 1'(1(0(2(1(1(2(0(0(0(2(2(1(1(0(z0))))))))))))))), 1'(0(2(1(1(2(0(0(0(2(2(1(1(0(z0)))))))))))))), 0'(2(1(1(2(0(0(0(2(2(1(1(0(z0))))))))))))), 1'(1(2(0(0(0(2(2(1(1(0(z0))))))))))), 1'(2(0(0(0(2(2(1(1(0(z0)))))))))), 0'(0(0(2(2(1(1(0(z0)))))))), 0'(0(2(2(1(1(0(z0))))))), 0'(2(2(1(1(0(z0)))))), 1'(1(0(z0))), 1'(0(z0)), 0'(z0))
   0'(2(2(c_0(c_1(2(2(c_0(c_1(c_1(2(c_1(c_1(2(2(2(c_1(c_0(c_1(2(z0)))))))))))))))))))) -> c69(0'(2(1(0(0(0(2(0(1(1(1(0(1(0(2(2(1(1(2(2(z0)))))))))))))))))))), 1'(0(0(0(2(0(1(1(1(0(1(0(2(2(1(1(2(2(z0)))))))))))))))))), 0'(0(0(2(0(1(1(1(0(1(0(2(2(1(1(2(2(z0))))))))))))))))), 0'(0(2(0(1(1(1(0(1(0(2(2(1(1(2(2(z0)))))))))))))))), 0'(2(0(1(1(1(0(1(0(2(2(1(1(2(2(z0))))))))))))))), 0'(1(1(1(0(1(0(2(2(1(1(2(2(z0))))))))))))), 1'(1(1(0(1(0(2(2(1(1(2(2(z0)))))))))))), 1'(1(0(1(0(2(2(1(1(2(2(z0))))))))))), 1'(0(1(0(2(2(1(1(2(2(z0)))))))))), 0'(1(0(2(2(1(1(2(2(z0))))))))), 1'(0(2(2(1(1(2(2(z0)))))))), 0'(2(2(1(1(2(2(z0))))))), 1'(1(2(2(z0)))), 1'(2(2(z0))))
   0'(2(2(2(2(c_1(c_0(c_0(c_0(2(2(c_1(c_0(c_1(c_1(c_1(c_0(c_1(2(2(z0)))))))))))))))))))) -> c70(0'(0(2(2(0(2(0(2(0(1(1(2(0(0(0(0(2(1(1(2(z0)))))))))))))))))))), 0'(2(2(0(2(0(2(0(1(1(2(0(0(0(0(2(1(1(2(z0))))))))))))))))))), 0'(2(0(2(0(1(1(2(0(0(0(0(2(1(1(2(z0)))))))))))))))), 0'(2(0(1(1(2(0(0(0(0(2(1(1(2(z0)))))))))))))), 0'(1(1(2(0(0(0(0(2(1(1(2(z0)))))))))))), 1'(1(2(0(0(0(0(2(1(1(2(z0))))))))))), 1'(2(0(0(0(0(2(1(1(2(z0)))))))))), 0'(0(0(0(2(1(1(2(z0)))))))), 0'(0(0(2(1(1(2(z0))))))), 0'(0(2(1(1(2(z0)))))), 0'(2(1(1(2(z0))))), 1'(1(2(z0))), 1'(2(z0)))
   0'(c_0(c_0(c_1(c_0(2(c_0(2(c_1(2(c_0(c_1(c_1(2(c_1(c_1(2(2(c_1(c_1(z0)))))))))))))))))))) -> c71(0'(1(2(0(2(2(1(1(1(0(1(0(2(1(2(1(2(1(2(1(z0)))))))))))))))))))), 1'(2(0(2(2(1(1(1(0(1(0(2(1(2(1(2(1(2(1(z0))))))))))))))))))), 0'(2(2(1(1(1(0(1(0(2(1(2(1(2(1(2(1(z0))))))))))))))))), 1'(1(1(0(1(0(2(1(2(1(2(1(2(1(z0)))))))))))))), 1'(1(0(1(0(2(1(2(1(2(1(2(1(z0))))))))))))), 1'(0(1(0(2(1(2(1(2(1(2(1(z0)))))))))))), 0'(1(0(2(1(2(1(2(1(2(1(z0))))))))))), 1'(0(2(1(2(1(2(1(2(1(z0)))))))))), 0'(2(1(2(1(2(1(2(1(z0))))))))), 1'(2(1(2(1(2(1(z0))))))), 1'(2(1(2(1(z0))))), 1'(2(1(z0))), 1'(z0))
   0'(c_1(c_0(c_0(2(2(c_0(2(2(c_1(2(c_1(2(c_1(c_1(c_0(c_0(2(2(2(z0)))))))))))))))))))) -> c72(0'(2(0(1(2(1(0(1(0(0(0(0(0(0(2(0(1(0(2(1(z0)))))))))))))))))))), 0'(1(2(1(0(1(0(0(0(0(0(0(2(0(1(0(2(1(z0)))))))))))))))))), 1'(2(1(0(1(0(0(0(0(0(0(2(0(1(0(2(1(z0))))))))))))))))), 1'(0(1(0(0(0(0(0(0(2(0(1(0(2(1(z0))))))))))))))), 0'(1(0(0(0(0(0(0(2(0(1(0(2(1(z0)))))))))))))), 1'(0(0(0(0(0(0(2(0(1(0(2(1(z0))))))))))))), 0'(0(0(0(0(0(2(0(1(0(2(1(z0)))))))))))), 0'(0(0(0(0(2(0(1(0(2(1(z0))))))))))), 0'(0(0(0(2(0(1(0(2(1(z0)))))))))), 0'(0(0(2(0(1(0(2(1(z0))))))))), 0'(0(2(0(1(0(2(1(z0)))))))), 0'(2(0(1(0(2(1(z0))))))), 0'(1(0(2(1(z0))))), 1'(0(2(1(z0)))), 0'(2(1(z0))), 1'(z0))
   0'(c_1(2(2(2(c_0(c_0(2(c_0(c_1(2(c_1(c_0(c_1(c_0(c_0(2(c_0(c_0(2(z0)))))))))))))))))))) -> c73(0'(0(0(1(2(0(2(1(2(2(0(0(0(1(0(1(0(0(1(2(z0)))))))))))))))))))), 0'(0(1(2(0(2(1(2(2(0(0(0(1(0(1(0(0(1(2(z0))))))))))))))))))), 0'(1(2(0(2(1(2(2(0(0(0(1(0(1(0(0(1(2(z0)))))))))))))))))), 1'(2(0(2(1(2(2(0(0(0(1(0(1(0(0(1(2(z0))))))))))))))))), 0'(2(1(2(2(0(0(0(1(0(1(0(0(1(2(z0))))))))))))))), 1'(2(2(0(0(0(1(0(1(0(0(1(2(z0))))))))))))), 0'(0(0(1(0(1(0(0(1(2(z0)))))))))), 0'(0(1(0(1(0(0(1(2(z0))))))))), 0'(1(0(1(0(0(1(2(z0)))))))), 1'(0(1(0(0(1(2(z0))))))), 0'(1(0(0(1(2(z0)))))), 1'(0(0(1(2(z0))))), 0'(0(1(2(z0)))), 0'(1(2(z0))), 1'(2(z0)))
   0'(2(c_1(c_1(c_1(c_0(c_0(c_1(2(c_1(2(c_1(c_1(2(c_0(2(c_1(c_0(c_1(2(z0)))))))))))))))))))) -> c74(0'(1(0(1(0(2(0(0(0(1(1(1(2(0(0(0(1(2(2(2(z0)))))))))))))))))))), 1'(0(1(0(2(0(0(0(1(1(1(2(0(0(0(1(2(2(2(z0))))))))))))))))))), 0'(1(0(2(0(0(0(1(1(1(2(0(0(0(1(2(2(2(z0)))))))))))))))))), 1'(0(2(0(0(0(1(1(1(2(0(0(0(1(2(2(2(z0))))))))))))))))), 0'(2(0(0(0(1(1(1(2(0(0(0(1(2(2(2(z0)))))))))))))))), 0'(0(0(1(1(1(2(0(0(0(1(2(2(2(z0)))))))))))))), 0'(0(1(1(1(2(0(0(0(1(2(2(2(z0))))))))))))), 0'(1(1(1(2(0(0(0(1(2(2(2(z0)))))))))))), 1'(1(1(2(0(0(0(1(2(2(2(z0))))))))))), 1'(1(2(0(0(0(1(2(2(2(z0)))))))))), 1'(2(0(0(0(1(2(2(2(z0))))))))), 0'(0(0(1(2(2(2(z0))))))), 0'(0(1(2(2(2(z0)))))), 0'(1(2(2(2(z0))))), 1'(2(2(2(z0)))))
   0'(2(2(c_1(c_1(c_1(c_1(c_0(c_0(c_1(c_0(c_1(c_0(2(2(c_1(c_1(2(2(c_1(z0)))))))))))))))))))) -> c75(0'(2(2(2(0(2(2(1(1(2(2(2(2(0(2(0(0(2(0(2(z0)))))))))))))))))))), 0'(2(2(1(1(2(2(2(2(0(2(0(0(2(0(2(z0)))))))))))))))), 1'(1(2(2(2(2(0(2(0(0(2(0(2(z0))))))))))))), 1'(2(2(2(2(0(2(0(0(2(0(2(z0)))))))))))), 0'(2(0(0(2(0(2(z0))))))), 0'(0(2(0(2(z0))))), 0'(2(0(2(z0)))), 0'(2(z0)))
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   0'(c_1(c_1(2(c_0(2(c_0(2(2(c_1(c_1(2(c_0(c_1(2(2(c_0(c_1(c_0(c_0(z0)))))))))))))))))))) -> c91(0'(1(2(0(0(0(2(1(2(0(1(2(2(2(2(0(1(1(0(1(z0)))))))))))))))))))), 1'(2(0(0(0(2(1(2(0(1(2(2(2(2(0(1(1(0(1(z0))))))))))))))))))), 0'(0(0(2(1(2(0(1(2(2(2(2(0(1(1(0(1(z0))))))))))))))))), 0'(0(2(1(2(0(1(2(2(2(2(0(1(1(0(1(z0)))))))))))))))), 0'(2(1(2(0(1(2(2(2(2(0(1(1(0(1(z0))))))))))))))), 1'(2(0(1(2(2(2(2(0(1(1(0(1(z0))))))))))))), 0'(1(2(2(2(2(0(1(1(0(1(z0))))))))))), 1'(2(2(2(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))
   0'(2(c_1(c_1(2(c_0(2(2(2(c_0(c_1(2(c_0(2(c_0(2(2(c_0(c_0(c_1(z0)))))))))))))))))))) -> c92(0'(0(2(1(2(0(0(0(2(0(1(2(2(2(1(0(1(1(1(0(z0)))))))))))))))))))), 0'(2(1(2(0(0(0(2(0(1(2(2(2(1(0(1(1(1(0(z0))))))))))))))))))), 1'(2(0(0(0(2(0(1(2(2(2(1(0(1(1(1(0(z0))))))))))))))))), 0'(0(0(2(0(1(2(2(2(1(0(1(1(1(0(z0))))))))))))))), 0'(0(2(0(1(2(2(2(1(0(1(1(1(0(z0)))))))))))))), 0'(2(0(1(2(2(2(1(0(1(1(1(0(z0))))))))))))), 0'(1(2(2(2(1(0(1(1(1(0(z0))))))))))), 1'(2(2(2(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))
   0'(c_1(c_0(c_1(c_0(c_1(c_1(c_0(c_0(c_0(c_1(c_0(2(c_1(c_1(2(c_0(c_1(c_0(c_1(z0)))))))))))))))))))) -> c93(0'(0(2(1(1(0(0(2(0(2(1(0(1(1(0(2(2(0(1(2(z0)))))))))))))))))))), 0'(2(1(1(0(0(2(0(2(1(0(1(1(0(2(2(0(1(2(z0))))))))))))))))))), 1'(1(0(0(2(0(2(1(0(1(1(0(2(2(0(1(2(z0))))))))))))))))), 1'(0(0(2(0(2(1(0(1(1(0(2(2(0(1(2(z0)))))))))))))))), 0'(0(2(0(2(1(0(1(1(0(2(2(0(1(2(z0))))))))))))))), 0'(2(0(2(1(0(1(1(0(2(2(0(1(2(z0)))))))))))))), 0'(2(1(0(1(1(0(2(2(0(1(2(z0)))))))))))), 1'(0(1(1(0(2(2(0(1(2(z0)))))))))), 0'(1(1(0(2(2(0(1(2(z0))))))))), 1'(1(0(2(2(0(1(2(z0)))))))), 1'(0(2(2(0(1(2(z0))))))), 0'(2(2(0(1(2(z0)))))), 0'(1(2(z0))), 1'(2(z0)))
   0'(c_0(c_1(2(2(c_0(c_1(c_1(2(c_0(c_0(2(2(c_1(c_0(2(c_1(2(c_1(c_0(z0)))))))))))))))))))) -> c94(0'(2(2(0(2(0(2(1(0(2(0(0(2(2(1(0(0(0(2(0(z0)))))))))))))))))))), 0'(2(0(2(1(0(2(0(0(2(2(1(0(0(0(2(0(z0))))))))))))))))), 0'(2(1(0(2(0(0(2(2(1(0(0(0(2(0(z0))))))))))))))), 1'(0(2(0(0(2(2(1(0(0(0(2(0(z0))))))))))))), 0'(2(0(0(2(2(1(0(0(0(2(0(z0)))))))))))), 0'(0(2(2(1(0(0(0(2(0(z0)))))))))), 0'(2(2(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))), 0'(z0))
   0'(c_0(c_0(2(2(c_1(c_1(2(2(c_0(c_0(2(c_1(2(c_0(c_1(c_1(c_0(2(2(z0)))))))))))))))))))) -> c95(0'(2(2(2(1(0(0(2(1(2(1(2(1(2(1(1(1(2(0(2(z0)))))))))))))))))))), 1'(0(0(2(1(2(1(2(1(2(1(1(1(2(0(2(z0)))))))))))))))), 0'(0(2(1(2(1(2(1(2(1(1(1(2(0(2(z0))))))))))))))), 0'(2(1(2(1(2(1(2(1(1(1(2(0(2(z0)))))))))))))), 1'(2(1(2(1(2(1(1(1(2(0(2(z0)))))))))))), 1'(2(1(2(1(1(1(2(0(2(z0)))))))))), 1'(2(1(1(1(2(0(2(z0)))))))), 1'(1(1(2(0(2(z0)))))), 1'(1(2(0(2(z0))))), 1'(2(0(2(z0)))), 0'(2(z0)))
   0'(c_1(2(c_1(c_0(c_1(2(2(c_1(c_1(c_0(c_0(c_1(c_1(2(2(c_1(c_0(c_1(c_1(z0)))))))))))))))))))) -> c96(0'(2(2(2(0(2(0(2(0(1(2(1(2(2(2(1(0(0(1(0(z0)))))))))))))))))))), 0'(2(0(2(0(1(2(1(2(2(2(1(0(0(1(0(z0)))))))))))))))), 0'(2(0(1(2(1(2(2(2(1(0(0(1(0(z0)))))))))))))), 0'(1(2(1(2(2(2(1(0(0(1(0(z0)))))))))))), 1'(2(1(2(2(2(1(0(0(1(0(z0))))))))))), 1'(2(2(2(1(0(0(1(0(z0))))))))), 1'(0(0(1(0(z0))))), 0'(0(1(0(z0)))), 0'(1(0(z0))), 1'(0(z0)), 0'(z0))
   0'(2(2(c_1(c_1(2(2(c_1(c_0(2(c_1(2(c_1(c_1(2(2(2(c_0(2(c_0(z0)))))))))))))))))))) -> c97(0'(2(1(2(2(2(1(0(0(1(0(0(0(1(2(1(1(2(2(1(z0)))))))))))))))))))), 1'(2(2(2(1(0(0(1(0(0(0(1(2(1(1(2(2(1(z0)))))))))))))))))), 1'(0(0(1(0(0(0(1(2(1(1(2(2(1(z0)))))))))))))), 0'(0(1(0(0(0(1(2(1(1(2(2(1(z0))))))))))))), 0'(1(0(0(0(1(2(1(1(2(2(1(z0)))))))))))), 1'(0(0(0(1(2(1(1(2(2(1(z0))))))))))), 0'(0(0(1(2(1(1(2(2(1(z0)))))))))), 0'(0(1(2(1(1(2(2(1(z0))))))))), 0'(1(2(1(1(2(2(1(z0)))))))), 1'(2(1(1(2(2(1(z0))))))), 1'(1(2(2(1(z0))))), 1'(2(2(1(z0)))), 1'(z0))
   0'(c_1(c_1(c_1(2(2(c_1(2(c_1(c_1(c_1(c_0(c_0(c_1(c_1(c_1(2(c_1(c_1(c_0(z0)))))))))))))))))))) -> c98(0'(0(1(0(2(0(1(1(1(2(0(2(1(2(2(0(2(1(2(1(z0)))))))))))))))))))), 0'(1(0(2(0(1(1(1(2(0(2(1(2(2(0(2(1(2(1(z0))))))))))))))))))), 1'(0(2(0(1(1(1(2(0(2(1(2(2(0(2(1(2(1(z0)))))))))))))))))), 0'(2(0(1(1(1(2(0(2(1(2(2(0(2(1(2(1(z0))))))))))))))))), 0'(1(1(1(2(0(2(1(2(2(0(2(1(2(1(z0))))))))))))))), 1'(1(1(2(0(2(1(2(2(0(2(1(2(1(z0)))))))))))))), 1'(1(2(0(2(1(2(2(0(2(1(2(1(z0))))))))))))), 1'(2(0(2(1(2(2(0(2(1(2(1(z0)))))))))))), 0'(2(1(2(2(0(2(1(2(1(z0)))))))))), 1'(2(2(0(2(1(2(1(z0)))))))), 0'(2(1(2(1(z0))))), 1'(2(1(z0))), 1'(z0))
   0'(c_0(2(c_0(c_1(c_1(2(c_0(2(c_1(c_0(2(2(c_1(c_1(c_0(c_1(2(c_0(c_1(z0)))))))))))))))))))) -> c99(0'(1(2(0(2(0(1(0(1(2(1(0(0(2(2(1(0(1(0(1(z0)))))))))))))))))))), 1'(2(0(2(0(1(0(1(2(1(0(0(2(2(1(0(1(0(1(z0))))))))))))))))))), 0'(2(0(1(0(1(2(1(0(0(2(2(1(0(1(0(1(z0))))))))))))))))), 0'(1(0(1(2(1(0(0(2(2(1(0(1(0(1(z0))))))))))))))), 1'(0(1(2(1(0(0(2(2(1(0(1(0(1(z0)))))))))))))), 0'(1(2(1(0(0(2(2(1(0(1(0(1(z0))))))))))))), 1'(2(1(0(0(2(2(1(0(1(0(1(z0)))))))))))), 1'(0(0(2(2(1(0(1(0(1(z0)))))))))), 0'(0(2(2(1(0(1(0(1(z0))))))))), 0'(2(2(1(0(1(0(1(z0)))))))), 1'(0(1(0(1(z0))))), 0'(1(0(1(z0)))), 1'(0(1(z0))), 0'(1(z0)), 1'(z0))
   0'(c_1(c_1(2(2(2(2(c_1(c_0(2(c_0(c_0(c_1(2(2(c_1(2(2(2(2(z0)))))))))))))))))))) -> c100(0'(1(0(0(2(0(0(1(2(1(2(0(1(2(2(1(0(2(0(2(z0)))))))))))))))))))), 1'(0(0(2(0(0(1(2(1(2(0(1(2(2(1(0(2(0(2(z0))))))))))))))))))), 0'(0(2(0(0(1(2(1(2(0(1(2(2(1(0(2(0(2(z0)))))))))))))))))), 0'(2(0(0(1(2(1(2(0(1(2(2(1(0(2(0(2(z0))))))))))))))))), 0'(0(1(2(1(2(0(1(2(2(1(0(2(0(2(z0))))))))))))))), 0'(1(2(1(2(0(1(2(2(1(0(2(0(2(z0)))))))))))))), 1'(2(1(2(0(1(2(2(1(0(2(0(2(z0))))))))))))), 1'(2(0(1(2(2(1(0(2(0(2(z0))))))))))), 0'(1(2(2(1(0(2(0(2(z0))))))))), 1'(2(2(1(0(2(0(2(z0)))))))), 1'(0(2(0(2(z0))))), 0'(2(0(2(z0)))), 0'(2(z0)))
   0'(2(c_0(c_1(2(c_1(c_1(c_1(c_1(2(c_0(2(c_1(2(c_0(c_1(2(2(c_0(c_1(z0)))))))))))))))))))) -> c101(0'(1(1(1(1(2(1(0(0(1(1(0(2(1(0(0(2(0(0(1(z0)))))))))))))))))))), 1'(1(1(1(2(1(0(0(1(1(0(2(1(0(0(2(0(0(1(z0))))))))))))))))))), 1'(1(1(2(1(0(0(1(1(0(2(1(0(0(2(0(0(1(z0)))))))))))))))))), 1'(1(2(1(0(0(1(1(0(2(1(0(0(2(0(0(1(z0))))))))))))))))), 1'(2(1(0(0(1(1(0(2(1(0(0(2(0(0(1(z0)))))))))))))))), 1'(0(0(1(1(0(2(1(0(0(2(0(0(1(z0)))))))))))))), 0'(0(1(1(0(2(1(0(0(2(0(0(1(z0))))))))))))), 0'(1(1(0(2(1(0(0(2(0(0(1(z0)))))))))))), 1'(1(0(2(1(0(0(2(0(0(1(z0))))))))))), 1'(0(2(1(0(0(2(0(0(1(z0)))))))))), 0'(2(1(0(0(2(0(0(1(z0))))))))), 1'(0(0(2(0(0(1(z0))))))), 0'(0(2(0(0(1(z0)))))), 0'(2(0(0(1(z0))))), 0'(0(1(z0))), 0'(1(z0)), 1'(z0))
   0'(c_1(c_0(c_1(c_1(2(c_1(c_0(c_0(c_0(2(2(2(c_1(2(c_1(2(c_1(c_0(2(z0)))))))))))))))))))) -> c102(0'(1(0(0(2(2(1(2(1(0(1(0(0(0(2(0(0(2(1(2(z0)))))))))))))))))))), 1'(0(0(2(2(1(2(1(0(1(0(0(0(2(0(0(2(1(2(z0))))))))))))))))))), 0'(0(2(2(1(2(1(0(1(0(0(0(2(0(0(2(1(2(z0)))))))))))))))))), 0'(2(2(1(2(1(0(1(0(0(0(2(0(0(2(1(2(z0))))))))))))))))), 1'(2(1(0(1(0(0(0(2(0(0(2(1(2(z0)))))))))))))), 1'(0(1(0(0(0(2(0(0(2(1(2(z0)))))))))))), 0'(1(0(0(0(2(0(0(2(1(2(z0))))))))))), 1'(0(0(0(2(0(0(2(1(2(z0)))))))))), 0'(0(0(2(0(0(2(1(2(z0))))))))), 0'(0(2(0(0(2(1(2(z0)))))))), 0'(2(0(0(2(1(2(z0))))))), 0'(0(2(1(2(z0))))), 0'(2(1(2(z0)))), 1'(2(z0)))
   0'(c_0(c_1(c_0(2(c_1(2(2(2(2(c_0(c_1(2(c_0(c_1(c_1(2(2(c_0(2(z0)))))))))))))))))))) -> c103(0'(0(2(1(1(0(0(2(2(2(0(1(2(2(0(1(2(2(0(2(z0)))))))))))))))))))), 0'(2(1(1(0(0(2(2(2(0(1(2(2(0(1(2(2(0(2(z0))))))))))))))))))), 1'(1(0(0(2(2(2(0(1(2(2(0(1(2(2(0(2(z0))))))))))))))))), 1'(0(0(2(2(2(0(1(2(2(0(1(2(2(0(2(z0)))))))))))))))), 0'(0(2(2(2(0(1(2(2(0(1(2(2(0(2(z0))))))))))))))), 0'(2(2(2(0(1(2(2(0(1(2(2(0(2(z0)))))))))))))), 0'(1(2(2(0(1(2(2(0(2(z0)))))))))), 1'(2(2(0(1(2(2(0(2(z0))))))))), 0'(1(2(2(0(2(z0)))))), 1'(2(2(0(2(z0))))), 0'(2(z0)))
   0'(c_1(c_1(c_0(c_1(2(c_1(2(c_0(2(2(c_1(c_0(c_0(2(c_0(c_1(c_0(c_1(c_1(z0)))))))))))))))))))) -> c104(0'(0(0(1(2(0(2(2(2(0(1(0(1(2(1(1(1(0(2(0(z0)))))))))))))))))))), 0'(0(1(2(0(2(2(2(0(1(0(1(2(1(1(1(0(2(0(z0))))))))))))))))))), 0'(1(2(0(2(2(2(0(1(0(1(2(1(1(1(0(2(0(z0)))))))))))))))))), 1'(2(0(2(2(2(0(1(0(1(2(1(1(1(0(2(0(z0))))))))))))))))), 0'(2(2(2(0(1(0(1(2(1(1(1(0(2(0(z0))))))))))))))), 0'(1(0(1(2(1(1(1(0(2(0(z0))))))))))), 1'(0(1(2(1(1(1(0(2(0(z0)))))))))), 0'(1(2(1(1(1(0(2(0(z0))))))))), 1'(2(1(1(1(0(2(0(z0)))))))), 1'(1(1(0(2(0(z0)))))), 1'(1(0(2(0(z0))))), 1'(0(2(0(z0)))), 0'(2(0(z0))), 0'(z0))
   1'(2(2(c_0(2(c_0(2(c_1(2(c_1(2(c_1(c_0(c_0(c_1(c_0(c_0(2(c_0(c_1(z0)))))))))))))))))))) -> c106(1'(0(1(2(0(1(0(0(1(0(0(0(2(1(0(0(1(0(0(2(z0)))))))))))))))))))), 0'(1(2(0(1(0(0(1(0(0(0(2(1(0(0(1(0(0(2(z0))))))))))))))))))), 1'(2(0(1(0(0(1(0(0(0(2(1(0(0(1(0(0(2(z0)))))))))))))))))), 0'(1(0(0(1(0(0(0(2(1(0(0(1(0(0(2(z0)))))))))))))))), 1'(0(0(1(0(0(0(2(1(0(0(1(0(0(2(z0))))))))))))))), 0'(0(1(0(0(0(2(1(0(0(1(0(0(2(z0)))))))))))))), 0'(1(0(0(0(2(1(0(0(1(0(0(2(z0))))))))))))), 1'(0(0(0(2(1(0(0(1(0(0(2(z0)))))))))))), 0'(0(0(2(1(0(0(1(0(0(2(z0))))))))))), 0'(0(2(1(0(0(1(0(0(2(z0)))))))))), 0'(2(1(0(0(1(0(0(2(z0))))))))), 1'(0(0(1(0(0(2(z0))))))), 0'(0(1(0(0(2(z0)))))), 0'(1(0(0(2(z0))))), 1'(0(0(2(z0)))), 0'(0(2(z0))), 0'(2(z0)))
K tuples:none
Defined Rule Symbols:   0_1, 1_1, encArg_1, encode_0_1, encode_1_1, encode_2_1

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

Compound Symbols:   c_1, c1_2, c2_2, c3_2, c4_2, c7_14, c8_13, c9_13, c10_13, c11_13, c12_15, c13_10, c14_13, c15_12, c16_14, c17_13, c18_13, c19_16, c20_13, c21_11, c22_9, c23_16, c24_12, c25_15, c26_14, c27_14, c28_14, c29_14, c30_12, c31_16, c32_16, c33_14, c34_15, c35_11, c36_16, c37_16, c38_13, c39_15, c40_12, c41_16, c42_11, c43_16, c44_12, c45_16, c46_15, c47_18, c48_10, c49_14, c50_13, c51_15, c52_15, c53_14, c54_15, c55_15, c56_13, c57_9, c58_11, c59_14, c60_13, c61_14, c62_16, c63_11, c64_15, c65_12, c66_16, c67_14, c68_15, c69_14, c70_13, c71_13, c72_16, c73_15, c74_15, c75_8, c76_12, c77_15, c78_15, c79_16, c80_14, c81_10, c82_12, c83_16, c84_14, c85_15, c86_12, c87_13, c88_16, c89_12, c90_13, c91_13, c92_14, c93_14, c94_12, c95_11, c96_11, c97_13, c98_13, c99_15, c100_13, c101_17, c102_14, c103_11, c104_14, c106_17


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

(41) CdtRhsSimplificationProcessorProof (BOTH BOUNDS(ID, ID))
Removed 19 trailing tuple parts
----------------------------------------

(42)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(2(z0)) -> 2(encArg(z0))
   encArg(cons_0(z0)) -> 0(encArg(z0))
   encArg(cons_1(z0)) -> 1(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_0(c_1(c_0(2(2(c_1(2(c_0(c_0(c_1(c_1(2(2(2(c_1(c_1(2(c_1(c_1(z0)))))))))))))))))))) -> 0(2(0(2(2(0(0(1(2(0(2(0(0(1(1(0(0(2(1(1(z0))))))))))))))))))))
   0(c_1(c_0(c_1(2(c_1(c_1(c_1(c_0(c_0(c_1(c_1(2(2(2(c_0(2(c_0(c_1(2(z0)))))))))))))))))))) -> 0(2(1(1(2(1(0(2(0(1(1(0(2(0(1(0(2(2(0(2(z0))))))))))))))))))))
   0(2(c_1(c_1(c_1(c_0(2(c_1(c_1(c_0(c_1(c_0(2(2(c_0(c_0(2(c_0(2(c_1(z0)))))))))))))))))))) -> 0(1(0(1(2(2(2(1(1(0(2(2(1(2(0(0(0(0(2(1(z0))))))))))))))))))))
   0(c_1(c_0(2(2(c_1(c_1(c_0(c_1(c_0(2(2(c_1(c_0(2(c_0(c_1(c_0(c_1(c_1(z0)))))))))))))))))))) -> 0(1(2(0(0(2(2(0(0(0(0(2(1(2(1(0(1(2(0(2(z0))))))))))))))))))))
   0(2(c_1(2(c_0(c_1(c_1(c_1(2(c_0(c_1(c_1(2(c_1(2(c_0(2(c_0(2(c_0(z0)))))))))))))))))))) -> 0(1(2(1(1(0(1(1(2(1(2(0(1(0(1(2(2(0(2(2(z0))))))))))))))))))))
   0(c_0(c_1(c_0(c_0(c_1(c_1(2(c_1(c_1(2(2(c_1(c_1(2(2(c_1(c_1(c_0(2(z0)))))))))))))))))))) -> 0(1(1(0(0(2(0(0(2(0(2(1(1(1(1(1(0(2(0(2(z0))))))))))))))))))))
   0(c_1(c_1(c_0(c_1(c_0(2(c_1(c_1(2(2(c_0(2(c_0(2(c_0(2(2(c_0(c_1(z0)))))))))))))))))))) -> 0(2(0(2(1(0(0(1(2(2(1(2(2(1(2(2(1(2(2(0(z0))))))))))))))))))))
   0(c_1(c_0(c_1(c_1(c_1(c_1(2(c_0(2(2(2(2(2(2(c_1(c_0(2(c_0(c_1(z0)))))))))))))))))))) -> 0(0(0(2(2(1(0(0(1(2(1(0(2(2(1(0(0(2(2(1(z0))))))))))))))))))))
   0(c_0(2(2(c_0(c_0(c_1(c_0(2(2(c_1(c_1(2(2(c_1(c_0(2(2(c_0(c_1(z0)))))))))))))))))))) -> 0(2(0(2(2(1(0(0(2(2(1(2(1(1(0(0(2(0(2(1(z0))))))))))))))))))))
   0(c_0(2(2(c_1(c_1(c_1(c_0(c_1(c_0(c_1(c_0(c_1(2(2(2(c_1(2(c_0(c_0(z0)))))))))))))))))))) -> 0(1(0(2(0(2(2(1(0(1(0(2(1(2(1(0(1(1(1(2(z0))))))))))))))))))))
   0(c_1(c_1(c_0(c_0(2(c_0(2(c_1(c_1(c_1(2(c_1(2(c_1(c_0(c_0(c_1(c_1(c_1(z0)))))))))))))))))))) -> 0(1(0(0(2(2(0(0(2(2(0(2(0(0(1(2(1(0(1(2(z0))))))))))))))))))))
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   0(c_1(2(c_0(c_0(2(c_1(c_1(c_0(2(c_1(c_0(c_1(c_1(c_1(c_0(c_1(c_1(c_0(c_0(z0)))))))))))))))))))) -> 0(0(0(2(0(1(1(2(2(0(2(0(0(2(1(0(0(2(1(1(z0))))))))))))))))))))
   0(c_0(c_1(c_0(2(2(2(2(c_1(c_0(2(c_1(c_0(2(2(c_0(c_1(c_1(2(c_1(z0)))))))))))))))))))) -> 0(0(1(0(0(0(0(2(2(2(2(0(0(0(1(0(0(2(1(1(z0))))))))))))))))))))
   0(c_1(c_1(c_0(c_1(c_1(c_1(c_1(2(c_0(2(c_0(2(2(2(c_0(c_0(c_0(2(c_1(z0)))))))))))))))))))) -> 0(1(0(1(2(2(2(0(2(2(1(1(2(2(2(0(0(0(1(0(z0))))))))))))))))))))
   0(c_0(c_1(c_0(c_1(2(2(2(c_1(c_1(2(c_1(2(c_1(c_0(2(c_0(c_1(2(c_0(z0)))))))))))))))))))) -> 0(2(0(1(1(2(2(2(1(0(0(2(1(0(0(0(0(2(0(2(z0))))))))))))))))))))
   0(c_0(c_0(c_1(2(c_0(2(2(c_1(c_1(c_0(c_1(c_0(c_1(2(c_0(c_1(c_1(c_1(c_1(z0)))))))))))))))))))) -> 0(1(2(0(1(2(1(0(1(0(1(0(2(0(1(1(1(1(0(2(z0))))))))))))))))))))
   0(c_0(c_1(2(c_0(c_1(2(c_0(c_1(c_1(c_1(c_0(2(2(c_1(c_0(2(c_1(c_1(2(z0)))))))))))))))))))) -> 0(1(2(2(0(2(2(2(1(0(1(2(2(1(0(0(1(1(1(2(z0))))))))))))))))))))
   0(c_0(c_1(2(2(c_1(c_1(c_0(2(2(2(c_0(c_1(c_1(c_1(c_1(c_0(c_1(2(c_1(z0)))))))))))))))))))) -> 0(1(2(2(0(1(1(1(2(0(2(0(0(1(2(0(2(1(2(0(z0))))))))))))))))))))
   0(c_1(c_1(2(c_0(2(c_0(2(2(c_1(c_1(2(c_0(c_1(2(2(c_0(c_1(c_0(c_0(z0)))))))))))))))))))) -> 0(1(2(0(0(0(2(1(2(0(1(2(2(2(2(0(1(1(0(1(z0))))))))))))))))))))
   0(2(c_1(c_1(2(c_0(2(2(2(c_0(c_1(2(c_0(2(c_0(2(2(c_0(c_0(c_1(z0)))))))))))))))))))) -> 0(0(2(1(2(0(0(0(2(0(1(2(2(2(1(0(1(1(1(0(z0))))))))))))))))))))
   0(c_1(c_0(c_1(c_0(c_1(c_1(c_0(c_0(c_0(c_1(c_0(2(c_1(c_1(2(c_0(c_1(c_0(c_1(z0)))))))))))))))))))) -> 0(0(2(1(1(0(0(2(0(2(1(0(1(1(0(2(2(0(1(2(z0))))))))))))))))))))
   0(c_0(c_1(2(2(c_0(c_1(c_1(2(c_0(c_0(2(2(c_1(c_0(2(c_1(2(c_1(c_0(z0)))))))))))))))))))) -> 0(2(2(0(2(0(2(1(0(2(0(0(2(2(1(0(0(0(2(0(z0))))))))))))))))))))
   0(c_0(c_0(2(2(c_1(c_1(2(2(c_0(c_0(2(c_1(2(c_0(c_1(c_1(c_0(2(2(z0)))))))))))))))))))) -> 0(2(2(2(1(0(0(2(1(2(1(2(1(2(1(1(1(2(0(2(z0))))))))))))))))))))
   0(c_1(2(c_1(c_0(c_1(2(2(c_1(c_1(c_0(c_0(c_1(c_1(2(2(c_1(c_0(c_1(c_1(z0)))))))))))))))))))) -> 0(2(2(2(0(2(0(2(0(1(2(1(2(2(2(1(0(0(1(0(z0))))))))))))))))))))
   0(2(2(c_1(c_1(2(2(c_1(c_0(2(c_1(2(c_1(c_1(2(2(2(c_0(2(c_0(z0)))))))))))))))))))) -> 0(2(1(2(2(2(1(0(0(1(0(0(0(1(2(1(1(2(2(1(z0))))))))))))))))))))
   0(c_1(c_1(c_1(2(2(c_1(2(c_1(c_1(c_1(c_0(c_0(c_1(c_1(c_1(2(c_1(c_1(c_0(z0)))))))))))))))))))) -> 0(0(1(0(2(0(1(1(1(2(0(2(1(2(2(0(2(1(2(1(z0))))))))))))))))))))
   0(c_0(2(c_0(c_1(c_1(2(c_0(2(c_1(c_0(2(2(c_1(c_1(c_0(c_1(2(c_0(c_1(z0)))))))))))))))))))) -> 0(1(2(0(2(0(1(0(1(2(1(0(0(2(2(1(0(1(0(1(z0))))))))))))))))))))
   0(c_1(c_1(2(2(2(2(c_1(c_0(2(c_0(c_0(c_1(2(2(c_1(2(2(2(2(z0)))))))))))))))))))) -> 0(1(0(0(2(0(0(1(2(1(2(0(1(2(2(1(0(2(0(2(z0))))))))))))))))))))
   0(2(c_0(c_1(2(c_1(c_1(c_1(c_1(2(c_0(2(c_1(2(c_0(c_1(2(2(c_0(c_1(z0)))))))))))))))))))) -> 0(1(1(1(1(2(1(0(0(1(1(0(2(1(0(0(2(0(0(1(z0))))))))))))))))))))
   0(c_1(c_0(c_1(c_1(2(c_1(c_0(c_0(c_0(2(2(2(c_1(2(c_1(2(c_1(c_0(2(z0)))))))))))))))))))) -> 0(1(0(0(2(2(1(2(1(0(1(0(0(0(2(0(0(2(1(2(z0))))))))))))))))))))
   0(c_0(c_1(c_0(2(c_1(2(2(2(2(c_0(c_1(2(c_0(c_1(c_1(2(2(c_0(2(z0)))))))))))))))))))) -> 0(0(2(1(1(0(0(2(2(2(0(1(2(2(0(1(2(2(0(2(z0))))))))))))))))))))
   0(c_1(c_1(c_0(c_1(2(c_1(2(c_0(2(2(c_1(c_0(c_0(2(c_0(c_1(c_0(c_1(c_1(z0)))))))))))))))))))) -> 0(0(0(1(2(0(2(2(2(0(1(0(1(2(1(1(1(0(2(0(z0))))))))))))))))))))
   1(z0) -> c_1(z0)
   1(2(2(c_0(2(c_0(2(c_1(2(c_1(2(c_1(c_0(c_0(c_1(c_0(c_0(2(c_0(c_1(z0)))))))))))))))))))) -> 1(0(1(2(0(1(0(0(1(0(0(0(2(1(0(0(1(0(0(2(z0))))))))))))))))))))
Tuples:
   ENCARG(2(z0)) -> c(ENCARG(z0))
   ENCARG(cons_0(z0)) -> c1(0'(encArg(z0)), ENCARG(z0))
   ENCARG(cons_1(z0)) -> c2(1'(encArg(z0)), ENCARG(z0))
   ENCODE_0(z0) -> c3(0'(encArg(z0)), ENCARG(z0))
   ENCODE_1(z0) -> c4(1'(encArg(z0)), ENCARG(z0))
   0'(c_0(c_1(c_0(2(2(c_1(2(c_0(c_0(c_1(c_1(2(2(2(c_1(c_1(2(c_1(c_1(z0)))))))))))))))))))) -> c7(0'(2(0(2(2(0(0(1(2(0(2(0(0(1(1(0(0(2(1(1(z0)))))))))))))))))))), 0'(2(2(0(0(1(2(0(2(0(0(1(1(0(0(2(1(1(z0)))))))))))))))))), 0'(0(1(2(0(2(0(0(1(1(0(0(2(1(1(z0))))))))))))))), 0'(1(2(0(2(0(0(1(1(0(0(2(1(1(z0)))))))))))))), 1'(2(0(2(0(0(1(1(0(0(2(1(1(z0))))))))))))), 0'(2(0(0(1(1(0(0(2(1(1(z0))))))))))), 0'(0(1(1(0(0(2(1(1(z0))))))))), 0'(1(1(0(0(2(1(1(z0)))))))), 1'(1(0(0(2(1(1(z0))))))), 1'(0(0(2(1(1(z0)))))), 0'(0(2(1(1(z0))))), 0'(2(1(1(z0)))), 1'(1(z0)), 1'(z0))
   0'(c_1(c_0(c_1(2(c_1(c_1(c_1(c_0(c_0(c_1(c_1(2(2(2(c_0(2(c_0(c_1(2(z0)))))))))))))))))))) -> c8(0'(2(1(1(2(1(0(2(0(1(1(0(2(0(1(0(2(2(0(2(z0)))))))))))))))))))), 1'(1(2(1(0(2(0(1(1(0(2(0(1(0(2(2(0(2(z0)))))))))))))))))), 1'(2(1(0(2(0(1(1(0(2(0(1(0(2(2(0(2(z0))))))))))))))))), 1'(0(2(0(1(1(0(2(0(1(0(2(2(0(2(z0))))))))))))))), 0'(2(0(1(1(0(2(0(1(0(2(2(0(2(z0)))))))))))))), 0'(1(1(0(2(0(1(0(2(2(0(2(z0)))))))))))), 1'(1(0(2(0(1(0(2(2(0(2(z0))))))))))), 1'(0(2(0(1(0(2(2(0(2(z0)))))))))), 0'(2(0(1(0(2(2(0(2(z0))))))))), 0'(1(0(2(2(0(2(z0))))))), 1'(0(2(2(0(2(z0)))))), 0'(2(2(0(2(z0))))), 0'(2(z0)))
   0'(c_1(c_0(2(2(c_1(c_1(c_0(c_1(c_0(2(2(c_1(c_0(2(c_0(c_1(c_0(c_1(c_1(z0)))))))))))))))))))) -> c10(0'(1(2(0(0(2(2(0(0(0(0(2(1(2(1(0(1(2(0(2(z0)))))))))))))))))))), 1'(2(0(0(2(2(0(0(0(0(2(1(2(1(0(1(2(0(2(z0))))))))))))))))))), 0'(0(2(2(0(0(0(0(2(1(2(1(0(1(2(0(2(z0))))))))))))))))), 0'(2(2(0(0(0(0(2(1(2(1(0(1(2(0(2(z0)))))))))))))))), 0'(0(0(0(2(1(2(1(0(1(2(0(2(z0))))))))))))), 0'(0(0(2(1(2(1(0(1(2(0(2(z0)))))))))))), 0'(0(2(1(2(1(0(1(2(0(2(z0))))))))))), 0'(2(1(2(1(0(1(2(0(2(z0)))))))))), 1'(2(1(0(1(2(0(2(z0)))))))), 1'(0(1(2(0(2(z0)))))), 0'(1(2(0(2(z0))))), 1'(2(0(2(z0)))), 0'(2(z0)))
   0'(2(c_1(2(c_0(c_1(c_1(c_1(2(c_0(c_1(c_1(2(c_1(2(c_0(2(c_0(2(c_0(z0)))))))))))))))))))) -> c11(0'(1(2(1(1(0(1(1(2(1(2(0(1(0(1(2(2(0(2(2(z0)))))))))))))))))))), 1'(2(1(1(0(1(1(2(1(2(0(1(0(1(2(2(0(2(2(z0))))))))))))))))))), 1'(1(0(1(1(2(1(2(0(1(0(1(2(2(0(2(2(z0))))))))))))))))), 1'(0(1(1(2(1(2(0(1(0(1(2(2(0(2(2(z0)))))))))))))))), 0'(1(1(2(1(2(0(1(0(1(2(2(0(2(2(z0))))))))))))))), 1'(1(2(1(2(0(1(0(1(2(2(0(2(2(z0)))))))))))))), 1'(2(1(2(0(1(0(1(2(2(0(2(2(z0))))))))))))), 1'(2(0(1(0(1(2(2(0(2(2(z0))))))))))), 0'(1(0(1(2(2(0(2(2(z0))))))))), 1'(0(1(2(2(0(2(2(z0)))))))), 0'(1(2(2(0(2(2(z0))))))), 1'(2(2(0(2(2(z0)))))), 0'(2(2(z0))))
   0'(c_0(c_1(c_0(c_0(c_1(c_1(2(c_1(c_1(2(2(c_1(c_1(2(2(c_1(c_1(c_0(2(z0)))))))))))))))))))) -> c12(0'(1(1(0(0(2(0(0(2(0(2(1(1(1(1(1(0(2(0(2(z0)))))))))))))))))))), 1'(1(0(0(2(0(0(2(0(2(1(1(1(1(1(0(2(0(2(z0))))))))))))))))))), 1'(0(0(2(0(0(2(0(2(1(1(1(1(1(0(2(0(2(z0)))))))))))))))))), 0'(0(2(0(0(2(0(2(1(1(1(1(1(0(2(0(2(z0))))))))))))))))), 0'(2(0(0(2(0(2(1(1(1(1(1(0(2(0(2(z0)))))))))))))))), 0'(0(2(0(2(1(1(1(1(1(0(2(0(2(z0)))))))))))))), 0'(2(0(2(1(1(1(1(1(0(2(0(2(z0))))))))))))), 0'(2(1(1(1(1(1(0(2(0(2(z0))))))))))), 1'(1(1(1(1(0(2(0(2(z0))))))))), 1'(1(1(1(0(2(0(2(z0)))))))), 1'(1(1(0(2(0(2(z0))))))), 1'(1(0(2(0(2(z0)))))), 1'(0(2(0(2(z0))))), 0'(2(0(2(z0)))), 0'(2(z0)))
   0'(c_1(c_1(c_0(c_1(c_0(2(c_1(c_1(2(2(c_0(2(c_0(2(c_0(2(2(c_0(c_1(z0)))))))))))))))))))) -> c13(0'(2(0(2(1(0(0(1(2(2(1(2(2(1(2(2(1(2(2(0(z0)))))))))))))))))))), 0'(2(1(0(0(1(2(2(1(2(2(1(2(2(1(2(2(0(z0)))))))))))))))))), 1'(0(0(1(2(2(1(2(2(1(2(2(1(2(2(0(z0)))))))))))))))), 0'(0(1(2(2(1(2(2(1(2(2(1(2(2(0(z0))))))))))))))), 0'(1(2(2(1(2(2(1(2(2(1(2(2(0(z0)))))))))))))), 1'(2(2(1(2(2(1(2(2(1(2(2(0(z0))))))))))))), 1'(2(2(1(2(2(1(2(2(0(z0)))))))))), 1'(2(2(1(2(2(0(z0))))))), 1'(2(2(0(z0)))), 0'(z0))
   0'(c_1(c_0(c_1(c_1(c_1(c_1(2(c_0(2(2(2(2(2(2(c_1(c_0(2(c_0(c_1(z0)))))))))))))))))))) -> c14(0'(0(0(2(2(1(0(0(1(2(1(0(2(2(1(0(0(2(2(1(z0)))))))))))))))))))), 0'(0(2(2(1(0(0(1(2(1(0(2(2(1(0(0(2(2(1(z0))))))))))))))))))), 0'(2(2(1(0(0(1(2(1(0(2(2(1(0(0(2(2(1(z0)))))))))))))))))), 1'(0(0(1(2(1(0(2(2(1(0(0(2(2(1(z0))))))))))))))), 0'(0(1(2(1(0(2(2(1(0(0(2(2(1(z0)))))))))))))), 0'(1(2(1(0(2(2(1(0(0(2(2(1(z0))))))))))))), 1'(2(1(0(2(2(1(0(0(2(2(1(z0)))))))))))), 1'(0(2(2(1(0(0(2(2(1(z0)))))))))), 0'(2(2(1(0(0(2(2(1(z0))))))))), 1'(0(0(2(2(1(z0)))))), 0'(0(2(2(1(z0))))), 0'(2(2(1(z0)))), 1'(z0))
   0'(c_0(2(2(c_0(c_0(c_1(c_0(2(2(c_1(c_1(2(2(c_1(c_0(2(2(c_0(c_1(z0)))))))))))))))))))) -> c15(0'(2(0(2(2(1(0(0(2(2(1(2(1(1(0(0(2(0(2(1(z0)))))))))))))))))))), 0'(2(2(1(0(0(2(2(1(2(1(1(0(0(2(0(2(1(z0)))))))))))))))))), 1'(0(0(2(2(1(2(1(1(0(0(2(0(2(1(z0))))))))))))))), 0'(0(2(2(1(2(1(1(0(0(2(0(2(1(z0)))))))))))))), 0'(2(2(1(2(1(1(0(0(2(0(2(1(z0))))))))))))), 1'(2(1(1(0(0(2(0(2(1(z0)))))))))), 1'(1(0(0(2(0(2(1(z0)))))))), 1'(0(0(2(0(2(1(z0))))))), 0'(0(2(0(2(1(z0)))))), 0'(2(0(2(1(z0))))), 0'(2(1(z0))), 1'(z0))
   0'(c_0(2(2(c_1(c_1(c_1(c_0(c_1(c_0(c_1(c_0(c_1(2(2(2(c_1(2(c_0(c_0(z0)))))))))))))))))))) -> c16(0'(1(0(2(0(2(2(1(0(1(0(2(1(2(1(0(1(1(1(2(z0)))))))))))))))))))), 1'(0(2(0(2(2(1(0(1(0(2(1(2(1(0(1(1(1(2(z0))))))))))))))))))), 0'(2(0(2(2(1(0(1(0(2(1(2(1(0(1(1(1(2(z0)))))))))))))))))), 0'(2(2(1(0(1(0(2(1(2(1(0(1(1(1(2(z0)))))))))))))))), 1'(0(1(0(2(1(2(1(0(1(1(1(2(z0))))))))))))), 0'(1(0(2(1(2(1(0(1(1(1(2(z0)))))))))))), 1'(0(2(1(2(1(0(1(1(1(2(z0))))))))))), 0'(2(1(2(1(0(1(1(1(2(z0)))))))))), 1'(2(1(0(1(1(1(2(z0)))))))), 1'(0(1(1(1(2(z0)))))), 0'(1(1(1(2(z0))))), 1'(1(1(2(z0)))), 1'(1(2(z0))), 1'(2(z0)))
   0'(c_1(c_1(c_0(c_0(2(c_0(2(c_1(c_1(c_1(2(c_1(2(c_1(c_0(c_0(c_1(c_1(c_1(z0)))))))))))))))))))) -> c17(0'(1(0(0(2(2(0(0(2(2(0(2(0(0(1(2(1(0(1(2(z0)))))))))))))))))))), 1'(0(0(2(2(0(0(2(2(0(2(0(0(1(2(1(0(1(2(z0))))))))))))))))))), 0'(0(2(2(0(0(2(2(0(2(0(0(1(2(1(0(1(2(z0)))))))))))))))))), 0'(2(2(0(0(2(2(0(2(0(0(1(2(1(0(1(2(z0))))))))))))))))), 0'(0(2(2(0(2(0(0(1(2(1(0(1(2(z0)))))))))))))), 0'(2(2(0(2(0(0(1(2(1(0(1(2(z0))))))))))))), 0'(2(0(0(1(2(1(0(1(2(z0)))))))))), 0'(0(1(2(1(0(1(2(z0)))))))), 0'(1(2(1(0(1(2(z0))))))), 1'(2(1(0(1(2(z0)))))), 1'(0(1(2(z0)))), 0'(1(2(z0))), 1'(2(z0)))
   0'(c_1(c_1(c_0(2(c_1(2(c_1(c_1(c_0(c_1(c_1(2(c_1(c_0(c_1(c_0(c_1(c_1(c_1(z0)))))))))))))))))))) -> c18(0'(1(1(1(2(1(2(2(0(1(1(0(2(2(0(0(2(1(0(2(z0)))))))))))))))))))), 1'(1(1(2(1(2(2(0(1(1(0(2(2(0(0(2(1(0(2(z0))))))))))))))))))), 1'(1(2(1(2(2(0(1(1(0(2(2(0(0(2(1(0(2(z0)))))))))))))))))), 1'(2(1(2(2(0(1(1(0(2(2(0(0(2(1(0(2(z0))))))))))))))))), 1'(2(2(0(1(1(0(2(2(0(0(2(1(0(2(z0))))))))))))))), 0'(1(1(0(2(2(0(0(2(1(0(2(z0)))))))))))), 1'(1(0(2(2(0(0(2(1(0(2(z0))))))))))), 1'(0(2(2(0(0(2(1(0(2(z0)))))))))), 0'(2(2(0(0(2(1(0(2(z0))))))))), 0'(0(2(1(0(2(z0)))))), 0'(2(1(0(2(z0))))), 1'(0(2(z0))), 0'(2(z0)))
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   0'(c_0(2(c_0(c_0(c_0(2(c_1(2(2(2(c_1(c_1(c_1(c_0(2(c_1(c_1(c_0(c_0(z0)))))))))))))))))))) -> c27(0'(2(0(1(2(0(1(2(0(1(0(1(2(2(1(2(1(0(0(0(z0)))))))))))))))))))), 0'(1(2(0(1(2(0(1(0(1(2(2(1(2(1(0(0(0(z0)))))))))))))))))), 1'(2(0(1(2(0(1(0(1(2(2(1(2(1(0(0(0(z0))))))))))))))))), 0'(1(2(0(1(0(1(2(2(1(2(1(0(0(0(z0))))))))))))))), 1'(2(0(1(0(1(2(2(1(2(1(0(0(0(z0)))))))))))))), 0'(1(0(1(2(2(1(2(1(0(0(0(z0)))))))))))), 1'(0(1(2(2(1(2(1(0(0(0(z0))))))))))), 0'(1(2(2(1(2(1(0(0(0(z0)))))))))), 1'(2(2(1(2(1(0(0(0(z0))))))))), 1'(2(1(0(0(0(z0)))))), 1'(0(0(0(z0)))), 0'(0(0(z0))), 0'(0(z0)), 0'(z0))
   0'(c_1(c_0(2(c_1(c_1(c_1(c_0(2(2(c_1(c_1(c_1(c_1(2(c_0(2(c_1(c_0(c_0(z0)))))))))))))))))))) -> c28(0'(2(1(0(2(0(0(1(2(2(0(0(0(1(1(1(1(0(2(2(z0)))))))))))))))))))), 1'(0(2(0(0(1(2(2(0(0(0(1(1(1(1(0(2(2(z0)))))))))))))))))), 0'(2(0(0(1(2(2(0(0(0(1(1(1(1(0(2(2(z0))))))))))))))))), 0'(0(1(2(2(0(0(0(1(1(1(1(0(2(2(z0))))))))))))))), 0'(1(2(2(0(0(0(1(1(1(1(0(2(2(z0)))))))))))))), 1'(2(2(0(0(0(1(1(1(1(0(2(2(z0))))))))))))), 0'(0(0(1(1(1(1(0(2(2(z0)))))))))), 0'(0(1(1(1(1(0(2(2(z0))))))))), 0'(1(1(1(1(0(2(2(z0)))))))), 1'(1(1(1(0(2(2(z0))))))), 1'(1(1(0(2(2(z0)))))), 1'(1(0(2(2(z0))))), 1'(0(2(2(z0)))), 0'(2(2(z0))))
   0'(2(c_1(c_1(c_0(2(c_1(c_1(c_1(c_1(2(2(c_0(c_1(c_1(c_1(2(2(c_1(c_1(z0)))))))))))))))))))) -> c29(0'(0(2(0(0(1(0(2(2(1(0(1(1(0(0(2(0(2(2(1(z0)))))))))))))))))))), 0'(2(0(0(1(0(2(2(1(0(1(1(0(0(2(0(2(2(1(z0))))))))))))))))))), 0'(0(1(0(2(2(1(0(1(1(0(0(2(0(2(2(1(z0))))))))))))))))), 0'(1(0(2(2(1(0(1(1(0(0(2(0(2(2(1(z0)))))))))))))))), 1'(0(2(2(1(0(1(1(0(0(2(0(2(2(1(z0))))))))))))))), 0'(2(2(1(0(1(1(0(0(2(0(2(2(1(z0)))))))))))))), 1'(0(1(1(0(0(2(0(2(2(1(z0))))))))))), 0'(1(1(0(0(2(0(2(2(1(z0)))))))))), 1'(1(0(0(2(0(2(2(1(z0))))))))), 1'(0(0(2(0(2(2(1(z0)))))))), 0'(0(2(0(2(2(1(z0))))))), 0'(2(0(2(2(1(z0)))))), 0'(2(2(1(z0)))), 1'(z0))
   0'(c_0(2(2(2(c_0(c_1(c_0(c_1(c_1(c_1(c_0(c_1(c_0(c_0(c_0(c_1(c_1(2(c_0(z0)))))))))))))))))))) -> c30(0'(2(0(2(2(2(2(0(2(2(1(0(0(0(0(0(0(2(0(0(z0)))))))))))))))))))), 0'(2(2(2(2(0(2(2(1(0(0(0(0(0(0(2(0(0(z0)))))))))))))))))), 0'(2(2(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)))), 0'(0(z0)), 0'(z0))
   0'(2(c_0(2(c_1(2(c_1(2(2(c_0(2(c_1(c_1(c_1(2(c_1(c_1(c_1(c_1(c_1(z0)))))))))))))))))))) -> c32(0'(1(1(1(0(2(1(0(1(2(1(0(0(0(2(1(1(2(0(1(z0)))))))))))))))))))), 1'(1(1(0(2(1(0(1(2(1(0(0(0(2(1(1(2(0(1(z0))))))))))))))))))), 1'(1(0(2(1(0(1(2(1(0(0(0(2(1(1(2(0(1(z0)))))))))))))))))), 1'(0(2(1(0(1(2(1(0(0(0(2(1(1(2(0(1(z0))))))))))))))))), 0'(2(1(0(1(2(1(0(0(0(2(1(1(2(0(1(z0)))))))))))))))), 1'(0(1(2(1(0(0(0(2(1(1(2(0(1(z0)))))))))))))), 0'(1(2(1(0(0(0(2(1(1(2(0(1(z0))))))))))))), 1'(2(1(0(0(0(2(1(1(2(0(1(z0)))))))))))), 1'(0(0(0(2(1(1(2(0(1(z0)))))))))), 0'(0(0(2(1(1(2(0(1(z0))))))))), 0'(0(2(1(1(2(0(1(z0)))))))), 0'(2(1(1(2(0(1(z0))))))), 1'(1(2(0(1(z0))))), 1'(2(0(1(z0)))), 0'(1(z0)), 1'(z0))
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   0'(2(2(c_1(c_1(2(c_0(c_1(c_0(c_1(c_0(2(c_0(c_1(c_0(c_1(c_0(2(c_1(c_1(z0)))))))))))))))))))) -> c34(0'(1(1(0(0(1(1(0(0(2(2(1(1(2(2(0(0(0(2(0(z0)))))))))))))))))))), 1'(1(0(0(1(1(0(0(2(2(1(1(2(2(0(0(0(2(0(z0))))))))))))))))))), 1'(0(0(1(1(0(0(2(2(1(1(2(2(0(0(0(2(0(z0)))))))))))))))))), 0'(0(1(1(0(0(2(2(1(1(2(2(0(0(0(2(0(z0))))))))))))))))), 0'(1(1(0(0(2(2(1(1(2(2(0(0(0(2(0(z0)))))))))))))))), 1'(1(0(0(2(2(1(1(2(2(0(0(0(2(0(z0))))))))))))))), 1'(0(0(2(2(1(1(2(2(0(0(0(2(0(z0)))))))))))))), 0'(0(2(2(1(1(2(2(0(0(0(2(0(z0))))))))))))), 0'(2(2(1(1(2(2(0(0(0(2(0(z0)))))))))))), 1'(1(2(2(0(0(0(2(0(z0))))))))), 1'(2(2(0(0(0(2(0(z0)))))))), 0'(0(0(2(0(z0))))), 0'(0(2(0(z0)))), 0'(2(0(z0))), 0'(z0))
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   0'(c_1(2(c_0(c_0(2(c_1(c_1(c_0(2(c_1(c_0(c_1(c_1(c_1(c_0(c_1(c_1(c_0(c_0(z0)))))))))))))))))))) -> c84(0'(0(0(2(0(1(1(2(2(0(2(0(0(2(1(0(0(2(1(1(z0)))))))))))))))))))), 0'(0(2(0(1(1(2(2(0(2(0(0(2(1(0(0(2(1(1(z0))))))))))))))))))), 0'(2(0(1(1(2(2(0(2(0(0(2(1(0(0(2(1(1(z0)))))))))))))))))), 0'(1(1(2(2(0(2(0(0(2(1(0(0(2(1(1(z0)))))))))))))))), 1'(1(2(2(0(2(0(0(2(1(0(0(2(1(1(z0))))))))))))))), 1'(2(2(0(2(0(0(2(1(0(0(2(1(1(z0)))))))))))))), 0'(2(0(0(2(1(0(0(2(1(1(z0))))))))))), 0'(0(2(1(0(0(2(1(1(z0))))))))), 0'(2(1(0(0(2(1(1(z0)))))))), 1'(0(0(2(1(1(z0)))))), 0'(0(2(1(1(z0))))), 0'(2(1(1(z0)))), 1'(1(z0)), 1'(z0))
   0'(c_0(c_1(c_0(2(2(2(2(c_1(c_0(2(c_1(c_0(2(2(c_0(c_1(c_1(2(c_1(z0)))))))))))))))))))) -> c85(0'(0(1(0(0(0(0(2(2(2(2(0(0(0(1(0(0(2(1(1(z0)))))))))))))))))))), 0'(1(0(0(0(0(2(2(2(2(0(0(0(1(0(0(2(1(1(z0))))))))))))))))))), 1'(0(0(0(0(2(2(2(2(0(0(0(1(0(0(2(1(1(z0)))))))))))))))))), 0'(0(0(0(2(2(2(2(0(0(0(1(0(0(2(1(1(z0))))))))))))))))), 0'(0(0(2(2(2(2(0(0(0(1(0(0(2(1(1(z0)))))))))))))))), 0'(0(2(2(2(2(0(0(0(1(0(0(2(1(1(z0))))))))))))))), 0'(2(2(2(2(0(0(0(1(0(0(2(1(1(z0)))))))))))))), 0'(0(0(1(0(0(2(1(1(z0))))))))), 0'(0(1(0(0(2(1(1(z0)))))))), 0'(1(0(0(2(1(1(z0))))))), 1'(0(0(2(1(1(z0)))))), 0'(0(2(1(1(z0))))), 0'(2(1(1(z0)))), 1'(1(z0)), 1'(z0))
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   0'(c_0(c_1(2(c_0(c_1(2(c_0(c_1(c_1(c_1(c_0(2(2(c_1(c_0(2(c_1(c_1(2(z0)))))))))))))))))))) -> c89(0'(1(2(2(0(2(2(2(1(0(1(2(2(1(0(0(1(1(1(2(z0)))))))))))))))))))), 1'(2(2(0(2(2(2(1(0(1(2(2(1(0(0(1(1(1(2(z0))))))))))))))))))), 0'(2(2(2(1(0(1(2(2(1(0(0(1(1(1(2(z0)))))))))))))))), 1'(0(1(2(2(1(0(0(1(1(1(2(z0)))))))))))), 0'(1(2(2(1(0(0(1(1(1(2(z0))))))))))), 1'(2(2(1(0(0(1(1(1(2(z0)))))))))), 1'(0(0(1(1(1(2(z0))))))), 0'(0(1(1(1(2(z0)))))), 0'(1(1(1(2(z0))))), 1'(1(1(2(z0)))), 1'(1(2(z0))), 1'(2(z0)))
   0'(c_0(c_1(2(2(c_1(c_1(c_0(2(2(2(c_0(c_1(c_1(c_1(c_1(c_0(c_1(2(c_1(z0)))))))))))))))))))) -> c90(0'(1(2(2(0(1(1(1(2(0(2(0(0(1(2(0(2(1(2(0(z0)))))))))))))))))))), 1'(2(2(0(1(1(1(2(0(2(0(0(1(2(0(2(1(2(0(z0))))))))))))))))))), 0'(1(1(1(2(0(2(0(0(1(2(0(2(1(2(0(z0)))))))))))))))), 1'(1(1(2(0(2(0(0(1(2(0(2(1(2(0(z0))))))))))))))), 1'(1(2(0(2(0(0(1(2(0(2(1(2(0(z0)))))))))))))), 1'(2(0(2(0(0(1(2(0(2(1(2(0(z0))))))))))))), 0'(2(0(0(1(2(0(2(1(2(0(z0))))))))))), 0'(0(1(2(0(2(1(2(0(z0))))))))), 0'(1(2(0(2(1(2(0(z0)))))))), 1'(2(0(2(1(2(0(z0))))))), 0'(2(1(2(0(z0))))), 1'(2(0(z0))), 0'(z0))
   0'(c_1(c_0(c_1(c_0(c_1(c_1(c_0(c_0(c_0(c_1(c_0(2(c_1(c_1(2(c_0(c_1(c_0(c_1(z0)))))))))))))))))))) -> c93(0'(0(2(1(1(0(0(2(0(2(1(0(1(1(0(2(2(0(1(2(z0)))))))))))))))))))), 0'(2(1(1(0(0(2(0(2(1(0(1(1(0(2(2(0(1(2(z0))))))))))))))))))), 1'(1(0(0(2(0(2(1(0(1(1(0(2(2(0(1(2(z0))))))))))))))))), 1'(0(0(2(0(2(1(0(1(1(0(2(2(0(1(2(z0)))))))))))))))), 0'(0(2(0(2(1(0(1(1(0(2(2(0(1(2(z0))))))))))))))), 0'(2(0(2(1(0(1(1(0(2(2(0(1(2(z0)))))))))))))), 0'(2(1(0(1(1(0(2(2(0(1(2(z0)))))))))))), 1'(0(1(1(0(2(2(0(1(2(z0)))))))))), 0'(1(1(0(2(2(0(1(2(z0))))))))), 1'(1(0(2(2(0(1(2(z0)))))))), 1'(0(2(2(0(1(2(z0))))))), 0'(2(2(0(1(2(z0)))))), 0'(1(2(z0))), 1'(2(z0)))
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   0'(c_0(c_1(c_0(2(c_1(2(2(2(2(c_0(c_1(2(c_0(c_1(c_1(2(2(c_0(2(z0)))))))))))))))))))) -> c103(0'(0(2(1(1(0(0(2(2(2(0(1(2(2(0(1(2(2(0(2(z0)))))))))))))))))))), 0'(2(1(1(0(0(2(2(2(0(1(2(2(0(1(2(2(0(2(z0))))))))))))))))))), 1'(1(0(0(2(2(2(0(1(2(2(0(1(2(2(0(2(z0))))))))))))))))), 1'(0(0(2(2(2(0(1(2(2(0(1(2(2(0(2(z0)))))))))))))))), 0'(0(2(2(2(0(1(2(2(0(1(2(2(0(2(z0))))))))))))))), 0'(2(2(2(0(1(2(2(0(1(2(2(0(2(z0)))))))))))))), 0'(1(2(2(0(1(2(2(0(2(z0)))))))))), 1'(2(2(0(1(2(2(0(2(z0))))))))), 0'(1(2(2(0(2(z0)))))), 1'(2(2(0(2(z0))))), 0'(2(z0)))
   0'(c_1(c_1(c_0(c_1(2(c_1(2(c_0(2(2(c_1(c_0(c_0(2(c_0(c_1(c_0(c_1(c_1(z0)))))))))))))))))))) -> c104(0'(0(0(1(2(0(2(2(2(0(1(0(1(2(1(1(1(0(2(0(z0)))))))))))))))))))), 0'(0(1(2(0(2(2(2(0(1(0(1(2(1(1(1(0(2(0(z0))))))))))))))))))), 0'(1(2(0(2(2(2(0(1(0(1(2(1(1(1(0(2(0(z0)))))))))))))))))), 1'(2(0(2(2(2(0(1(0(1(2(1(1(1(0(2(0(z0))))))))))))))))), 0'(2(2(2(0(1(0(1(2(1(1(1(0(2(0(z0))))))))))))))), 0'(1(0(1(2(1(1(1(0(2(0(z0))))))))))), 1'(0(1(2(1(1(1(0(2(0(z0)))))))))), 0'(1(2(1(1(1(0(2(0(z0))))))))), 1'(2(1(1(1(0(2(0(z0)))))))), 1'(1(1(0(2(0(z0)))))), 1'(1(0(2(0(z0))))), 1'(0(2(0(z0)))), 0'(2(0(z0))), 0'(z0))
   1'(2(2(c_0(2(c_0(2(c_1(2(c_1(2(c_1(c_0(c_0(c_1(c_0(c_0(2(c_0(c_1(z0)))))))))))))))))))) -> c106(1'(0(1(2(0(1(0(0(1(0(0(0(2(1(0(0(1(0(0(2(z0)))))))))))))))))))), 0'(1(2(0(1(0(0(1(0(0(0(2(1(0(0(1(0(0(2(z0))))))))))))))))))), 1'(2(0(1(0(0(1(0(0(0(2(1(0(0(1(0(0(2(z0)))))))))))))))))), 0'(1(0(0(1(0(0(0(2(1(0(0(1(0(0(2(z0)))))))))))))))), 1'(0(0(1(0(0(0(2(1(0(0(1(0(0(2(z0))))))))))))))), 0'(0(1(0(0(0(2(1(0(0(1(0(0(2(z0)))))))))))))), 0'(1(0(0(0(2(1(0(0(1(0(0(2(z0))))))))))))), 1'(0(0(0(2(1(0(0(1(0(0(2(z0)))))))))))), 0'(0(0(2(1(0(0(1(0(0(2(z0))))))))))), 0'(0(2(1(0(0(1(0(0(2(z0)))))))))), 0'(2(1(0(0(1(0(0(2(z0))))))))), 1'(0(0(1(0(0(2(z0))))))), 0'(0(1(0(0(2(z0)))))), 0'(1(0(0(2(z0))))), 1'(0(0(2(z0)))), 0'(0(2(z0))), 0'(2(z0)))
   0'(2(c_1(c_1(c_1(c_0(2(c_1(c_1(c_0(c_1(c_0(2(2(c_0(c_0(2(c_0(2(c_1(z0)))))))))))))))))))) -> c9(0'(1(0(1(2(2(2(1(1(0(2(2(1(2(0(0(0(0(2(1(z0)))))))))))))))))))), 1'(0(1(2(2(2(1(1(0(2(2(1(2(0(0(0(0(2(1(z0))))))))))))))))))), 0'(1(2(2(2(1(1(0(2(2(1(2(0(0(0(0(2(1(z0)))))))))))))))))), 1'(1(0(2(2(1(2(0(0(0(0(2(1(z0))))))))))))), 1'(0(2(2(1(2(0(0(0(0(2(1(z0)))))))))))), 0'(2(2(1(2(0(0(0(0(2(1(z0))))))))))), 1'(2(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))), 1'(z0))
   0'(c_0(2(c_0(2(c_1(c_1(2(c_1(c_1(c_1(c_1(c_1(c_0(c_1(c_1(c_1(2(2(c_1(z0)))))))))))))))))))) -> c21(0'(2(0(0(2(1(1(2(2(0(2(0(1(2(2(2(1(1(1(2(z0)))))))))))))))))))), 0'(0(2(1(1(2(2(0(2(0(1(2(2(2(1(1(1(2(z0)))))))))))))))))), 0'(2(1(1(2(2(0(2(0(1(2(2(2(1(1(1(2(z0))))))))))))))))), 1'(1(2(2(0(2(0(1(2(2(2(1(1(1(2(z0))))))))))))))), 1'(2(2(0(2(0(1(2(2(2(1(1(1(2(z0)))))))))))))), 0'(2(0(1(2(2(2(1(1(1(2(z0))))))))))), 0'(1(2(2(2(1(1(1(2(z0))))))))), 1'(1(1(2(z0)))), 1'(1(2(z0))), 1'(2(z0)))
   0'(2(c_0(c_1(c_1(c_1(c_0(c_1(2(2(c_0(2(c_0(2(c_0(2(c_1(2(c_0(c_1(z0)))))))))))))))))))) -> c22(0'(2(2(0(1(2(2(2(2(1(0(2(1(2(0(0(2(2(2(1(z0)))))))))))))))))))), 0'(1(2(2(2(2(1(0(2(1(2(0(0(2(2(2(1(z0))))))))))))))))), 1'(0(2(1(2(0(0(2(2(2(1(z0))))))))))), 0'(2(1(2(0(0(2(2(2(1(z0)))))))))), 1'(2(0(0(2(2(2(1(z0)))))))), 0'(0(2(2(2(1(z0)))))), 0'(2(2(2(1(z0))))), 1'(z0))
   0'(2(c_0(2(c_1(c_0(c_0(c_1(2(c_0(2(c_0(c_1(c_0(c_1(c_1(c_1(2(2(c_1(z0)))))))))))))))))))) -> c31(0'(0(1(0(1(0(1(1(2(1(0(0(0(1(2(2(2(0(1(0(z0)))))))))))))))))))), 0'(1(0(1(0(1(1(2(1(0(0(0(1(2(2(2(0(1(0(z0))))))))))))))))))), 1'(0(1(0(1(1(2(1(0(0(0(1(2(2(2(0(1(0(z0)))))))))))))))))), 0'(1(0(1(1(2(1(0(0(0(1(2(2(2(0(1(0(z0))))))))))))))))), 1'(0(1(1(2(1(0(0(0(1(2(2(2(0(1(0(z0)))))))))))))))), 0'(1(1(2(1(0(0(0(1(2(2(2(0(1(0(z0))))))))))))))), 1'(1(2(1(0(0(0(1(2(2(2(0(1(0(z0)))))))))))))), 1'(2(1(0(0(0(1(2(2(2(0(1(0(z0))))))))))))), 1'(0(0(0(1(2(2(2(0(1(0(z0))))))))))), 0'(0(0(1(2(2(2(0(1(0(z0)))))))))), 0'(0(1(2(2(2(0(1(0(z0))))))))), 0'(1(2(2(2(0(1(0(z0)))))))), 0'(1(0(z0))), 1'(0(z0)), 0'(z0))
   0'(c_1(c_1(2(c_0(c_1(c_0(c_0(c_1(2(c_0(2(c_1(c_0(c_0(c_0(c_0(2(c_0(c_1(z0)))))))))))))))))))) -> c40(0'(0(2(1(2(2(2(1(2(1(0(0(0(2(2(1(0(1(2(0(z0)))))))))))))))))))), 0'(2(1(2(2(2(1(2(1(0(0(0(2(2(1(0(1(2(0(z0))))))))))))))))))), 1'(2(1(0(0(0(2(2(1(0(1(2(0(z0))))))))))))), 1'(0(0(0(2(2(1(0(1(2(0(z0))))))))))), 0'(0(0(2(2(1(0(1(2(0(z0)))))))))), 0'(0(2(2(1(0(1(2(0(z0))))))))), 0'(2(2(1(0(1(2(0(z0)))))))), 1'(0(1(2(0(z0))))), 0'(1(2(0(z0)))), 1'(2(0(z0))), 0'(z0))
   0'(c_1(c_0(2(2(2(c_1(2(c_1(c_1(c_1(2(c_1(c_0(2(c_1(c_1(c_1(c_0(c_1(z0)))))))))))))))))))) -> c61(0'(0(1(2(2(2(1(0(0(1(1(2(1(1(2(0(0(1(2(0(z0)))))))))))))))))))), 0'(1(2(2(2(1(0(0(1(1(2(1(1(2(0(0(1(2(0(z0))))))))))))))))))), 1'(0(0(1(1(2(1(1(2(0(0(1(2(0(z0)))))))))))))), 0'(0(1(1(2(1(1(2(0(0(1(2(0(z0))))))))))))), 0'(1(1(2(1(1(2(0(0(1(2(0(z0)))))))))))), 1'(1(2(1(1(2(0(0(1(2(0(z0))))))))))), 1'(2(1(1(2(0(0(1(2(0(z0)))))))))), 1'(1(2(0(0(1(2(0(z0)))))))), 1'(2(0(0(1(2(0(z0))))))), 0'(0(1(2(0(z0))))), 0'(1(2(0(z0)))), 1'(2(0(z0))), 0'(z0))
   0'(c_1(c_1(c_0(2(c_1(c_1(c_0(c_0(c_1(c_1(c_1(2(2(2(c_0(2(c_0(c_0(2(z0)))))))))))))))))))) -> c63(0'(1(2(1(0(2(1(0(1(2(2(2(0(0(2(0(2(2(1(2(z0)))))))))))))))))))), 1'(2(1(0(2(1(0(1(2(2(2(0(0(2(0(2(2(1(2(z0))))))))))))))))))), 1'(0(2(1(0(1(2(2(2(0(0(2(0(2(2(1(2(z0))))))))))))))))), 0'(2(1(0(1(2(2(2(0(0(2(0(2(2(1(2(z0)))))))))))))))), 1'(0(1(2(2(2(0(0(2(0(2(2(1(2(z0)))))))))))))), 0'(1(2(2(2(0(0(2(0(2(2(1(2(z0))))))))))))), 0'(0(2(0(2(2(1(2(z0)))))))), 0'(2(0(2(2(1(2(z0))))))), 0'(2(2(1(2(z0))))), 1'(2(z0)))
   0'(c_1(c_1(c_1(c_1(2(c_0(c_0(c_0(2(2(2(2(c_1(c_0(2(2(2(c_0(c_1(z0)))))))))))))))))))) -> c65(0'(2(0(0(0(1(2(0(1(2(2(2(1(2(1(1(1(2(1(2(z0)))))))))))))))))))), 0'(0(0(1(2(0(1(2(2(2(1(2(1(1(1(2(1(2(z0)))))))))))))))))), 0'(0(1(2(0(1(2(2(2(1(2(1(1(1(2(1(2(z0))))))))))))))))), 0'(1(2(0(1(2(2(2(1(2(1(1(1(2(1(2(z0)))))))))))))))), 1'(2(0(1(2(2(2(1(2(1(1(1(2(1(2(z0))))))))))))))), 0'(1(2(2(2(1(2(1(1(1(2(1(2(z0))))))))))))), 1'(2(1(1(1(2(1(2(z0)))))))), 1'(1(1(2(1(2(z0)))))), 1'(1(2(1(2(z0))))), 1'(2(1(2(z0)))), 1'(2(z0)))
   0'(2(c_1(c_1(c_1(c_0(c_0(c_1(2(c_1(2(c_1(c_1(2(c_0(2(c_1(c_0(c_1(2(z0)))))))))))))))))))) -> c74(0'(1(0(1(0(2(0(0(0(1(1(1(2(0(0(0(1(2(2(2(z0)))))))))))))))))))), 1'(0(1(0(2(0(0(0(1(1(1(2(0(0(0(1(2(2(2(z0))))))))))))))))))), 0'(1(0(2(0(0(0(1(1(1(2(0(0(0(1(2(2(2(z0)))))))))))))))))), 1'(0(2(0(0(0(1(1(1(2(0(0(0(1(2(2(2(z0))))))))))))))))), 0'(2(0(0(0(1(1(1(2(0(0(0(1(2(2(2(z0)))))))))))))))), 0'(0(0(1(1(1(2(0(0(0(1(2(2(2(z0)))))))))))))), 0'(0(1(1(1(2(0(0(0(1(2(2(2(z0))))))))))))), 0'(1(1(1(2(0(0(0(1(2(2(2(z0)))))))))))), 1'(1(1(2(0(0(0(1(2(2(2(z0))))))))))), 1'(1(2(0(0(0(1(2(2(2(z0)))))))))), 1'(2(0(0(0(1(2(2(2(z0))))))))), 0'(0(0(1(2(2(2(z0))))))), 0'(0(1(2(2(2(z0)))))), 0'(1(2(2(2(z0))))))
   0'(2(2(c_1(c_1(c_1(c_1(c_0(c_0(c_1(c_0(c_1(c_0(2(2(c_1(c_1(2(2(c_1(z0)))))))))))))))))))) -> c75(0'(2(2(2(0(2(2(1(1(2(2(2(2(0(2(0(0(2(0(2(z0)))))))))))))))))))), 0'(2(2(1(1(2(2(2(2(0(2(0(0(2(0(2(z0)))))))))))))))), 1'(1(2(2(2(2(0(2(0(0(2(0(2(z0))))))))))))), 0'(2(0(0(2(0(2(z0))))))), 0'(0(2(0(2(z0))))), 0'(2(0(2(z0)))), 0'(2(z0)))
   0'(c_1(c_0(c_1(c_1(2(2(c_0(c_0(c_0(2(2(2(c_1(c_1(c_0(c_1(c_1(c_1(c_1(z0)))))))))))))))))))) -> c81(0'(0(2(2(2(2(2(2(1(1(0(1(2(2(0(1(2(0(2(1(z0)))))))))))))))))))), 1'(1(0(1(2(2(0(1(2(0(2(1(z0)))))))))))), 1'(0(1(2(2(0(1(2(0(2(1(z0))))))))))), 0'(1(2(2(0(1(2(0(2(1(z0)))))))))), 1'(2(2(0(1(2(0(2(1(z0))))))))), 0'(1(2(0(2(1(z0)))))), 1'(2(0(2(1(z0))))), 0'(2(1(z0))), 1'(z0))
   0'(c_0(c_1(c_1(c_0(2(2(c_1(c_1(c_1(c_1(c_1(2(c_0(2(c_1(c_0(2(2(c_1(z0)))))))))))))))))))) -> c82(0'(2(0(1(1(0(1(2(2(2(0(0(2(2(2(0(2(0(0(0(z0)))))))))))))))))))), 0'(1(1(0(1(2(2(2(0(0(2(2(2(0(2(0(0(0(z0)))))))))))))))))), 1'(1(0(1(2(2(2(0(0(2(2(2(0(2(0(0(0(z0))))))))))))))))), 1'(0(1(2(2(2(0(0(2(2(2(0(2(0(0(0(z0)))))))))))))))), 0'(1(2(2(2(0(0(2(2(2(0(2(0(0(0(z0))))))))))))))), 0'(0(2(2(2(0(2(0(0(0(z0)))))))))), 0'(2(2(2(0(2(0(0(0(z0))))))))), 0'(2(0(0(0(z0))))), 0'(0(0(z0))), 0'(0(z0)), 0'(z0))
   0'(c_1(c_1(c_0(c_1(c_1(c_1(c_1(2(c_0(2(c_0(2(2(2(c_0(c_0(c_0(2(c_1(z0)))))))))))))))))))) -> c86(0'(1(0(1(2(2(2(0(2(2(1(1(2(2(2(0(0(0(1(0(z0)))))))))))))))))))), 1'(0(1(2(2(2(0(2(2(1(1(2(2(2(0(0(0(1(0(z0))))))))))))))))))), 0'(1(2(2(2(0(2(2(1(1(2(2(2(0(0(0(1(0(z0)))))))))))))))))), 0'(2(2(1(1(2(2(2(0(0(0(1(0(z0))))))))))))), 1'(1(2(2(2(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_1(c_0(c_1(2(2(2(c_1(c_1(2(c_1(2(c_1(c_0(2(c_0(c_1(2(c_0(z0)))))))))))))))))))) -> c87(0'(2(0(1(1(2(2(2(1(0(0(2(1(0(0(0(0(2(0(2(z0)))))))))))))))))))), 0'(1(1(2(2(2(1(0(0(2(1(0(0(0(0(2(0(2(z0)))))))))))))))))), 1'(1(2(2(2(1(0(0(2(1(0(0(0(0(2(0(2(z0))))))))))))))))), 1'(0(0(2(1(0(0(0(0(2(0(2(z0)))))))))))), 0'(0(2(1(0(0(0(0(2(0(2(z0))))))))))), 0'(2(1(0(0(0(0(2(0(2(z0)))))))))), 1'(0(0(0(0(2(0(2(z0)))))))), 0'(0(0(0(2(0(2(z0))))))), 0'(0(0(2(0(2(z0)))))), 0'(0(2(0(2(z0))))), 0'(2(0(2(z0)))), 0'(2(z0)))
   0'(c_1(c_1(2(c_0(2(c_0(2(2(c_1(c_1(2(c_0(c_1(2(2(c_0(c_1(c_0(c_0(z0)))))))))))))))))))) -> c91(0'(1(2(0(0(0(2(1(2(0(1(2(2(2(2(0(1(1(0(1(z0)))))))))))))))))))), 1'(2(0(0(0(2(1(2(0(1(2(2(2(2(0(1(1(0(1(z0))))))))))))))))))), 0'(0(0(2(1(2(0(1(2(2(2(2(0(1(1(0(1(z0))))))))))))))))), 0'(0(2(1(2(0(1(2(2(2(2(0(1(1(0(1(z0)))))))))))))))), 0'(2(1(2(0(1(2(2(2(2(0(1(1(0(1(z0))))))))))))))), 1'(2(0(1(2(2(2(2(0(1(1(0(1(z0))))))))))))), 0'(1(2(2(2(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))
   0'(2(c_1(c_1(2(c_0(2(2(2(c_0(c_1(2(c_0(2(c_0(2(2(c_0(c_0(c_1(z0)))))))))))))))))))) -> c92(0'(0(2(1(2(0(0(0(2(0(1(2(2(2(1(0(1(1(1(0(z0)))))))))))))))))))), 0'(2(1(2(0(0(0(2(0(1(2(2(2(1(0(1(1(1(0(z0))))))))))))))))))), 1'(2(0(0(0(2(0(1(2(2(2(1(0(1(1(1(0(z0))))))))))))))))), 0'(0(0(2(0(1(2(2(2(1(0(1(1(1(0(z0))))))))))))))), 0'(0(2(0(1(2(2(2(1(0(1(1(1(0(z0)))))))))))))), 0'(2(0(1(2(2(2(1(0(1(1(1(0(z0))))))))))))), 0'(1(2(2(2(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))
   0'(c_1(2(c_1(c_0(c_1(2(2(c_1(c_1(c_0(c_0(c_1(c_1(2(2(c_1(c_0(c_1(c_1(z0)))))))))))))))))))) -> c96(0'(2(2(2(0(2(0(2(0(1(2(1(2(2(2(1(0(0(1(0(z0)))))))))))))))))))), 0'(2(0(2(0(1(2(1(2(2(2(1(0(0(1(0(z0)))))))))))))))), 0'(2(0(1(2(1(2(2(2(1(0(0(1(0(z0)))))))))))))), 0'(1(2(1(2(2(2(1(0(0(1(0(z0)))))))))))), 1'(2(1(2(2(2(1(0(0(1(0(z0))))))))))), 1'(0(0(1(0(z0))))), 0'(0(1(0(z0)))), 0'(1(0(z0))), 1'(0(z0)), 0'(z0))
   0'(2(2(c_1(c_1(2(2(c_1(c_0(2(c_1(2(c_1(c_1(2(2(2(c_0(2(c_0(z0)))))))))))))))))))) -> c97(0'(2(1(2(2(2(1(0(0(1(0(0(0(1(2(1(1(2(2(1(z0)))))))))))))))))))), 1'(0(0(1(0(0(0(1(2(1(1(2(2(1(z0)))))))))))))), 0'(0(1(0(0(0(1(2(1(1(2(2(1(z0))))))))))))), 0'(1(0(0(0(1(2(1(1(2(2(1(z0)))))))))))), 1'(0(0(0(1(2(1(1(2(2(1(z0))))))))))), 0'(0(0(1(2(1(1(2(2(1(z0)))))))))), 0'(0(1(2(1(1(2(2(1(z0))))))))), 0'(1(2(1(1(2(2(1(z0)))))))), 1'(2(1(1(2(2(1(z0))))))), 1'(1(2(2(1(z0))))), 1'(2(2(1(z0)))), 1'(z0))
S tuples:
   0'(c_0(c_1(c_0(2(2(c_1(2(c_0(c_0(c_1(c_1(2(2(2(c_1(c_1(2(c_1(c_1(z0)))))))))))))))))))) -> c7(0'(2(0(2(2(0(0(1(2(0(2(0(0(1(1(0(0(2(1(1(z0)))))))))))))))))))), 0'(2(2(0(0(1(2(0(2(0(0(1(1(0(0(2(1(1(z0)))))))))))))))))), 0'(0(1(2(0(2(0(0(1(1(0(0(2(1(1(z0))))))))))))))), 0'(1(2(0(2(0(0(1(1(0(0(2(1(1(z0)))))))))))))), 1'(2(0(2(0(0(1(1(0(0(2(1(1(z0))))))))))))), 0'(2(0(0(1(1(0(0(2(1(1(z0))))))))))), 0'(0(1(1(0(0(2(1(1(z0))))))))), 0'(1(1(0(0(2(1(1(z0)))))))), 1'(1(0(0(2(1(1(z0))))))), 1'(0(0(2(1(1(z0)))))), 0'(0(2(1(1(z0))))), 0'(2(1(1(z0)))), 1'(1(z0)), 1'(z0))
   0'(c_1(c_0(c_1(2(c_1(c_1(c_1(c_0(c_0(c_1(c_1(2(2(2(c_0(2(c_0(c_1(2(z0)))))))))))))))))))) -> c8(0'(2(1(1(2(1(0(2(0(1(1(0(2(0(1(0(2(2(0(2(z0)))))))))))))))))))), 1'(1(2(1(0(2(0(1(1(0(2(0(1(0(2(2(0(2(z0)))))))))))))))))), 1'(2(1(0(2(0(1(1(0(2(0(1(0(2(2(0(2(z0))))))))))))))))), 1'(0(2(0(1(1(0(2(0(1(0(2(2(0(2(z0))))))))))))))), 0'(2(0(1(1(0(2(0(1(0(2(2(0(2(z0)))))))))))))), 0'(1(1(0(2(0(1(0(2(2(0(2(z0)))))))))))), 1'(1(0(2(0(1(0(2(2(0(2(z0))))))))))), 1'(0(2(0(1(0(2(2(0(2(z0)))))))))), 0'(2(0(1(0(2(2(0(2(z0))))))))), 0'(1(0(2(2(0(2(z0))))))), 1'(0(2(2(0(2(z0)))))), 0'(2(2(0(2(z0))))), 0'(2(z0)))
   0'(c_1(c_0(2(2(c_1(c_1(c_0(c_1(c_0(2(2(c_1(c_0(2(c_0(c_1(c_0(c_1(c_1(z0)))))))))))))))))))) -> c10(0'(1(2(0(0(2(2(0(0(0(0(2(1(2(1(0(1(2(0(2(z0)))))))))))))))))))), 1'(2(0(0(2(2(0(0(0(0(2(1(2(1(0(1(2(0(2(z0))))))))))))))))))), 0'(0(2(2(0(0(0(0(2(1(2(1(0(1(2(0(2(z0))))))))))))))))), 0'(2(2(0(0(0(0(2(1(2(1(0(1(2(0(2(z0)))))))))))))))), 0'(0(0(0(2(1(2(1(0(1(2(0(2(z0))))))))))))), 0'(0(0(2(1(2(1(0(1(2(0(2(z0)))))))))))), 0'(0(2(1(2(1(0(1(2(0(2(z0))))))))))), 0'(2(1(2(1(0(1(2(0(2(z0)))))))))), 1'(2(1(0(1(2(0(2(z0)))))))), 1'(0(1(2(0(2(z0)))))), 0'(1(2(0(2(z0))))), 1'(2(0(2(z0)))), 0'(2(z0)))
   0'(2(c_1(2(c_0(c_1(c_1(c_1(2(c_0(c_1(c_1(2(c_1(2(c_0(2(c_0(2(c_0(z0)))))))))))))))))))) -> c11(0'(1(2(1(1(0(1(1(2(1(2(0(1(0(1(2(2(0(2(2(z0)))))))))))))))))))), 1'(2(1(1(0(1(1(2(1(2(0(1(0(1(2(2(0(2(2(z0))))))))))))))))))), 1'(1(0(1(1(2(1(2(0(1(0(1(2(2(0(2(2(z0))))))))))))))))), 1'(0(1(1(2(1(2(0(1(0(1(2(2(0(2(2(z0)))))))))))))))), 0'(1(1(2(1(2(0(1(0(1(2(2(0(2(2(z0))))))))))))))), 1'(1(2(1(2(0(1(0(1(2(2(0(2(2(z0)))))))))))))), 1'(2(1(2(0(1(0(1(2(2(0(2(2(z0))))))))))))), 1'(2(0(1(0(1(2(2(0(2(2(z0))))))))))), 0'(1(0(1(2(2(0(2(2(z0))))))))), 1'(0(1(2(2(0(2(2(z0)))))))), 0'(1(2(2(0(2(2(z0))))))), 1'(2(2(0(2(2(z0)))))), 0'(2(2(z0))))
   0'(c_0(c_1(c_0(c_0(c_1(c_1(2(c_1(c_1(2(2(c_1(c_1(2(2(c_1(c_1(c_0(2(z0)))))))))))))))))))) -> c12(0'(1(1(0(0(2(0(0(2(0(2(1(1(1(1(1(0(2(0(2(z0)))))))))))))))))))), 1'(1(0(0(2(0(0(2(0(2(1(1(1(1(1(0(2(0(2(z0))))))))))))))))))), 1'(0(0(2(0(0(2(0(2(1(1(1(1(1(0(2(0(2(z0)))))))))))))))))), 0'(0(2(0(0(2(0(2(1(1(1(1(1(0(2(0(2(z0))))))))))))))))), 0'(2(0(0(2(0(2(1(1(1(1(1(0(2(0(2(z0)))))))))))))))), 0'(0(2(0(2(1(1(1(1(1(0(2(0(2(z0)))))))))))))), 0'(2(0(2(1(1(1(1(1(0(2(0(2(z0))))))))))))), 0'(2(1(1(1(1(1(0(2(0(2(z0))))))))))), 1'(1(1(1(1(0(2(0(2(z0))))))))), 1'(1(1(1(0(2(0(2(z0)))))))), 1'(1(1(0(2(0(2(z0))))))), 1'(1(0(2(0(2(z0)))))), 1'(0(2(0(2(z0))))), 0'(2(0(2(z0)))), 0'(2(z0)))
   0'(c_1(c_1(c_0(c_1(c_0(2(c_1(c_1(2(2(c_0(2(c_0(2(c_0(2(2(c_0(c_1(z0)))))))))))))))))))) -> c13(0'(2(0(2(1(0(0(1(2(2(1(2(2(1(2(2(1(2(2(0(z0)))))))))))))))))))), 0'(2(1(0(0(1(2(2(1(2(2(1(2(2(1(2(2(0(z0)))))))))))))))))), 1'(0(0(1(2(2(1(2(2(1(2(2(1(2(2(0(z0)))))))))))))))), 0'(0(1(2(2(1(2(2(1(2(2(1(2(2(0(z0))))))))))))))), 0'(1(2(2(1(2(2(1(2(2(1(2(2(0(z0)))))))))))))), 1'(2(2(1(2(2(1(2(2(1(2(2(0(z0))))))))))))), 1'(2(2(1(2(2(1(2(2(0(z0)))))))))), 1'(2(2(1(2(2(0(z0))))))), 1'(2(2(0(z0)))), 0'(z0))
   0'(c_1(c_0(c_1(c_1(c_1(c_1(2(c_0(2(2(2(2(2(2(c_1(c_0(2(c_0(c_1(z0)))))))))))))))))))) -> c14(0'(0(0(2(2(1(0(0(1(2(1(0(2(2(1(0(0(2(2(1(z0)))))))))))))))))))), 0'(0(2(2(1(0(0(1(2(1(0(2(2(1(0(0(2(2(1(z0))))))))))))))))))), 0'(2(2(1(0(0(1(2(1(0(2(2(1(0(0(2(2(1(z0)))))))))))))))))), 1'(0(0(1(2(1(0(2(2(1(0(0(2(2(1(z0))))))))))))))), 0'(0(1(2(1(0(2(2(1(0(0(2(2(1(z0)))))))))))))), 0'(1(2(1(0(2(2(1(0(0(2(2(1(z0))))))))))))), 1'(2(1(0(2(2(1(0(0(2(2(1(z0)))))))))))), 1'(0(2(2(1(0(0(2(2(1(z0)))))))))), 0'(2(2(1(0(0(2(2(1(z0))))))))), 1'(0(0(2(2(1(z0)))))), 0'(0(2(2(1(z0))))), 0'(2(2(1(z0)))), 1'(z0))
   0'(c_0(2(2(c_0(c_0(c_1(c_0(2(2(c_1(c_1(2(2(c_1(c_0(2(2(c_0(c_1(z0)))))))))))))))))))) -> c15(0'(2(0(2(2(1(0(0(2(2(1(2(1(1(0(0(2(0(2(1(z0)))))))))))))))))))), 0'(2(2(1(0(0(2(2(1(2(1(1(0(0(2(0(2(1(z0)))))))))))))))))), 1'(0(0(2(2(1(2(1(1(0(0(2(0(2(1(z0))))))))))))))), 0'(0(2(2(1(2(1(1(0(0(2(0(2(1(z0)))))))))))))), 0'(2(2(1(2(1(1(0(0(2(0(2(1(z0))))))))))))), 1'(2(1(1(0(0(2(0(2(1(z0)))))))))), 1'(1(0(0(2(0(2(1(z0)))))))), 1'(0(0(2(0(2(1(z0))))))), 0'(0(2(0(2(1(z0)))))), 0'(2(0(2(1(z0))))), 0'(2(1(z0))), 1'(z0))
   0'(c_0(2(2(c_1(c_1(c_1(c_0(c_1(c_0(c_1(c_0(c_1(2(2(2(c_1(2(c_0(c_0(z0)))))))))))))))))))) -> c16(0'(1(0(2(0(2(2(1(0(1(0(2(1(2(1(0(1(1(1(2(z0)))))))))))))))))))), 1'(0(2(0(2(2(1(0(1(0(2(1(2(1(0(1(1(1(2(z0))))))))))))))))))), 0'(2(0(2(2(1(0(1(0(2(1(2(1(0(1(1(1(2(z0)))))))))))))))))), 0'(2(2(1(0(1(0(2(1(2(1(0(1(1(1(2(z0)))))))))))))))), 1'(0(1(0(2(1(2(1(0(1(1(1(2(z0))))))))))))), 0'(1(0(2(1(2(1(0(1(1(1(2(z0)))))))))))), 1'(0(2(1(2(1(0(1(1(1(2(z0))))))))))), 0'(2(1(2(1(0(1(1(1(2(z0)))))))))), 1'(2(1(0(1(1(1(2(z0)))))))), 1'(0(1(1(1(2(z0)))))), 0'(1(1(1(2(z0))))), 1'(1(1(2(z0)))), 1'(1(2(z0))), 1'(2(z0)))
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   0'(c_1(c_1(c_0(2(2(c_0(c_1(2(2(2(c_0(2(2(c_1(2(c_1(2(c_1(c_0(z0)))))))))))))))))))) -> c24(0'(0(2(0(0(2(0(2(1(0(2(2(2(0(0(0(2(1(1(2(z0)))))))))))))))))))), 0'(2(0(0(2(0(2(1(0(2(2(2(0(0(0(2(1(1(2(z0))))))))))))))))))), 0'(0(2(0(2(1(0(2(2(2(0(0(0(2(1(1(2(z0))))))))))))))))), 0'(2(0(2(1(0(2(2(2(0(0(0(2(1(1(2(z0)))))))))))))))), 0'(2(1(0(2(2(2(0(0(0(2(1(1(2(z0)))))))))))))), 1'(0(2(2(2(0(0(0(2(1(1(2(z0)))))))))))), 0'(2(2(2(0(0(0(2(1(1(2(z0))))))))))), 0'(0(0(2(1(1(2(z0))))))), 0'(0(2(1(1(2(z0)))))), 0'(2(1(1(2(z0))))), 1'(1(2(z0))), 1'(2(z0)))
   0'(c_1(c_0(2(c_0(c_0(c_1(2(2(2(c_1(2(2(2(c_0(c_0(c_0(c_1(2(2(z0)))))))))))))))))))) -> c25(0'(1(0(1(1(2(1(0(0(1(0(0(2(2(2(1(0(2(0(0(z0)))))))))))))))))))), 1'(0(1(1(2(1(0(0(1(0(0(2(2(2(1(0(2(0(0(z0))))))))))))))))))), 0'(1(1(2(1(0(0(1(0(0(2(2(2(1(0(2(0(0(z0)))))))))))))))))), 1'(1(2(1(0(0(1(0(0(2(2(2(1(0(2(0(0(z0))))))))))))))))), 1'(2(1(0(0(1(0(0(2(2(2(1(0(2(0(0(z0)))))))))))))))), 1'(0(0(1(0(0(2(2(2(1(0(2(0(0(z0)))))))))))))), 0'(0(1(0(0(2(2(2(1(0(2(0(0(z0))))))))))))), 0'(1(0(0(2(2(2(1(0(2(0(0(z0)))))))))))), 1'(0(0(2(2(2(1(0(2(0(0(z0))))))))))), 0'(0(2(2(2(1(0(2(0(0(z0)))))))))), 0'(2(2(2(1(0(2(0(0(z0))))))))), 1'(0(2(0(0(z0))))), 0'(2(0(0(z0)))), 0'(0(z0)), 0'(z0))
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   0'(c_0(2(c_0(c_0(c_0(2(c_1(2(2(2(c_1(c_1(c_1(c_0(2(c_1(c_1(c_0(c_0(z0)))))))))))))))))))) -> c27(0'(2(0(1(2(0(1(2(0(1(0(1(2(2(1(2(1(0(0(0(z0)))))))))))))))))))), 0'(1(2(0(1(2(0(1(0(1(2(2(1(2(1(0(0(0(z0)))))))))))))))))), 1'(2(0(1(2(0(1(0(1(2(2(1(2(1(0(0(0(z0))))))))))))))))), 0'(1(2(0(1(0(1(2(2(1(2(1(0(0(0(z0))))))))))))))), 1'(2(0(1(0(1(2(2(1(2(1(0(0(0(z0)))))))))))))), 0'(1(0(1(2(2(1(2(1(0(0(0(z0)))))))))))), 1'(0(1(2(2(1(2(1(0(0(0(z0))))))))))), 0'(1(2(2(1(2(1(0(0(0(z0)))))))))), 1'(2(2(1(2(1(0(0(0(z0))))))))), 1'(2(1(0(0(0(z0)))))), 1'(0(0(0(z0)))), 0'(0(0(z0))), 0'(0(z0)), 0'(z0))
   0'(c_1(c_0(2(c_1(c_1(c_1(c_0(2(2(c_1(c_1(c_1(c_1(2(c_0(2(c_1(c_0(c_0(z0)))))))))))))))))))) -> c28(0'(2(1(0(2(0(0(1(2(2(0(0(0(1(1(1(1(0(2(2(z0)))))))))))))))))))), 1'(0(2(0(0(1(2(2(0(0(0(1(1(1(1(0(2(2(z0)))))))))))))))))), 0'(2(0(0(1(2(2(0(0(0(1(1(1(1(0(2(2(z0))))))))))))))))), 0'(0(1(2(2(0(0(0(1(1(1(1(0(2(2(z0))))))))))))))), 0'(1(2(2(0(0(0(1(1(1(1(0(2(2(z0)))))))))))))), 1'(2(2(0(0(0(1(1(1(1(0(2(2(z0))))))))))))), 0'(0(0(1(1(1(1(0(2(2(z0)))))))))), 0'(0(1(1(1(1(0(2(2(z0))))))))), 0'(1(1(1(1(0(2(2(z0)))))))), 1'(1(1(1(0(2(2(z0))))))), 1'(1(1(0(2(2(z0)))))), 1'(1(0(2(2(z0))))), 1'(0(2(2(z0)))), 0'(2(2(z0))))
   0'(2(c_1(c_1(c_0(2(c_1(c_1(c_1(c_1(2(2(c_0(c_1(c_1(c_1(2(2(c_1(c_1(z0)))))))))))))))))))) -> c29(0'(0(2(0(0(1(0(2(2(1(0(1(1(0(0(2(0(2(2(1(z0)))))))))))))))))))), 0'(2(0(0(1(0(2(2(1(0(1(1(0(0(2(0(2(2(1(z0))))))))))))))))))), 0'(0(1(0(2(2(1(0(1(1(0(0(2(0(2(2(1(z0))))))))))))))))), 0'(1(0(2(2(1(0(1(1(0(0(2(0(2(2(1(z0)))))))))))))))), 1'(0(2(2(1(0(1(1(0(0(2(0(2(2(1(z0))))))))))))))), 0'(2(2(1(0(1(1(0(0(2(0(2(2(1(z0)))))))))))))), 1'(0(1(1(0(0(2(0(2(2(1(z0))))))))))), 0'(1(1(0(0(2(0(2(2(1(z0)))))))))), 1'(1(0(0(2(0(2(2(1(z0))))))))), 1'(0(0(2(0(2(2(1(z0)))))))), 0'(0(2(0(2(2(1(z0))))))), 0'(2(0(2(2(1(z0)))))), 0'(2(2(1(z0)))), 1'(z0))
   0'(c_0(2(2(2(c_0(c_1(c_0(c_1(c_1(c_1(c_0(c_1(c_0(c_0(c_0(c_1(c_1(2(c_0(z0)))))))))))))))))))) -> c30(0'(2(0(2(2(2(2(0(2(2(1(0(0(0(0(0(0(2(0(0(z0)))))))))))))))))))), 0'(2(2(2(2(0(2(2(1(0(0(0(0(0(0(2(0(0(z0)))))))))))))))))), 0'(2(2(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)))), 0'(0(z0)), 0'(z0))
   0'(2(c_0(2(c_1(2(c_1(2(2(c_0(2(c_1(c_1(c_1(2(c_1(c_1(c_1(c_1(c_1(z0)))))))))))))))))))) -> c32(0'(1(1(1(0(2(1(0(1(2(1(0(0(0(2(1(1(2(0(1(z0)))))))))))))))))))), 1'(1(1(0(2(1(0(1(2(1(0(0(0(2(1(1(2(0(1(z0))))))))))))))))))), 1'(1(0(2(1(0(1(2(1(0(0(0(2(1(1(2(0(1(z0)))))))))))))))))), 1'(0(2(1(0(1(2(1(0(0(0(2(1(1(2(0(1(z0))))))))))))))))), 0'(2(1(0(1(2(1(0(0(0(2(1(1(2(0(1(z0)))))))))))))))), 1'(0(1(2(1(0(0(0(2(1(1(2(0(1(z0)))))))))))))), 0'(1(2(1(0(0(0(2(1(1(2(0(1(z0))))))))))))), 1'(2(1(0(0(0(2(1(1(2(0(1(z0)))))))))))), 1'(0(0(0(2(1(1(2(0(1(z0)))))))))), 0'(0(0(2(1(1(2(0(1(z0))))))))), 0'(0(2(1(1(2(0(1(z0)))))))), 0'(2(1(1(2(0(1(z0))))))), 1'(1(2(0(1(z0))))), 1'(2(0(1(z0)))), 0'(1(z0)), 1'(z0))
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   0'(c_1(2(c_0(c_0(c_1(2(c_0(2(c_0(c_0(c_1(c_0(2(c_0(c_0(2(c_1(2(c_0(z0)))))))))))))))))))) -> c44(0'(2(1(2(0(0(0(2(0(0(2(1(2(2(0(2(2(0(0(0(z0)))))))))))))))))))), 1'(2(0(0(0(2(0(0(2(1(2(2(0(2(2(0(0(0(z0)))))))))))))))))), 0'(0(0(2(0(0(2(1(2(2(0(2(2(0(0(0(z0)))))))))))))))), 0'(0(2(0(0(2(1(2(2(0(2(2(0(0(0(z0))))))))))))))), 0'(2(0(0(2(1(2(2(0(2(2(0(0(0(z0)))))))))))))), 0'(0(2(1(2(2(0(2(2(0(0(0(z0)))))))))))), 0'(2(1(2(2(0(2(2(0(0(0(z0))))))))))), 1'(2(2(0(2(2(0(0(0(z0))))))))), 0'(2(2(0(0(0(z0)))))), 0'(0(0(z0))), 0'(0(z0)), 0'(z0))
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   0'(2(2(c_1(2(c_0(c_1(c_1(c_0(c_0(c_1(c_1(2(c_0(c_1(c_1(c_0(2(2(2(z0)))))))))))))))))))) -> c76(0'(2(2(2(0(2(0(0(2(2(0(0(2(1(1(0(0(2(1(1(z0)))))))))))))))))))), 0'(2(0(0(2(2(0(0(2(1(1(0(0(2(1(1(z0)))))))))))))))), 0'(0(2(2(0(0(2(1(1(0(0(2(1(1(z0)))))))))))))), 0'(2(2(0(0(2(1(1(0(0(2(1(1(z0))))))))))))), 0'(0(2(1(1(0(0(2(1(1(z0)))))))))), 0'(2(1(1(0(0(2(1(1(z0))))))))), 1'(1(0(0(2(1(1(z0))))))), 1'(0(0(2(1(1(z0)))))), 0'(0(2(1(1(z0))))), 0'(2(1(1(z0)))), 1'(1(z0)), 1'(z0))
   0'(2(c_0(c_0(c_1(c_0(2(c_1(c_0(2(2(c_0(c_1(c_0(2(c_1(2(c_1(c_1(2(z0)))))))))))))))))))) -> c77(0'(2(1(0(2(1(0(2(1(2(1(0(1(2(0(1(0(0(0(0(z0)))))))))))))))))))), 1'(0(2(1(0(2(1(2(1(0(1(2(0(1(0(0(0(0(z0)))))))))))))))))), 0'(2(1(0(2(1(2(1(0(1(2(0(1(0(0(0(0(z0))))))))))))))))), 1'(0(2(1(2(1(0(1(2(0(1(0(0(0(0(z0))))))))))))))), 0'(2(1(2(1(0(1(2(0(1(0(0(0(0(z0)))))))))))))), 1'(2(1(0(1(2(0(1(0(0(0(0(z0)))))))))))), 1'(0(1(2(0(1(0(0(0(0(z0)))))))))), 0'(1(2(0(1(0(0(0(0(z0))))))))), 1'(2(0(1(0(0(0(0(z0)))))))), 0'(1(0(0(0(0(z0)))))), 1'(0(0(0(0(z0))))), 0'(0(0(0(z0)))), 0'(0(0(z0))), 0'(0(z0)), 0'(z0))
   0'(2(2(c_1(c_0(c_0(c_1(c_1(2(c_0(2(2(c_0(c_1(c_1(2(2(c_1(c_0(c_0(z0)))))))))))))))))))) -> c78(0'(2(1(0(2(2(0(0(0(0(0(1(2(1(0(1(1(2(1(1(z0)))))))))))))))))))), 1'(0(2(2(0(0(0(0(0(1(2(1(0(1(1(2(1(1(z0)))))))))))))))))), 0'(2(2(0(0(0(0(0(1(2(1(0(1(1(2(1(1(z0))))))))))))))))), 0'(0(0(0(0(1(2(1(0(1(1(2(1(1(z0)))))))))))))), 0'(0(0(0(1(2(1(0(1(1(2(1(1(z0))))))))))))), 0'(0(0(1(2(1(0(1(1(2(1(1(z0)))))))))))), 0'(0(1(2(1(0(1(1(2(1(1(z0))))))))))), 0'(1(2(1(0(1(1(2(1(1(z0)))))))))), 1'(2(1(0(1(1(2(1(1(z0))))))))), 1'(0(1(1(2(1(1(z0))))))), 0'(1(1(2(1(1(z0)))))), 1'(1(2(1(1(z0))))), 1'(2(1(1(z0)))), 1'(1(z0)), 1'(z0))
   0'(c_1(2(2(2(2(2(2(2(c_1(c_0(2(2(c_1(c_1(2(c_1(2(c_1(c_1(z0)))))))))))))))))))) -> c79(0'(2(1(0(2(1(0(1(2(0(0(0(1(2(0(0(0(0(0(1(z0)))))))))))))))))))), 1'(0(2(1(0(1(2(0(0(0(1(2(0(0(0(0(0(1(z0)))))))))))))))))), 0'(2(1(0(1(2(0(0(0(1(2(0(0(0(0(0(1(z0))))))))))))))))), 1'(0(1(2(0(0(0(1(2(0(0(0(0(0(1(z0))))))))))))))), 0'(1(2(0(0(0(1(2(0(0(0(0(0(1(z0)))))))))))))), 1'(2(0(0(0(1(2(0(0(0(0(0(1(z0))))))))))))), 0'(0(0(1(2(0(0(0(0(0(1(z0))))))))))), 0'(0(1(2(0(0(0(0(0(1(z0)))))))))), 0'(1(2(0(0(0(0(0(1(z0))))))))), 1'(2(0(0(0(0(0(1(z0)))))))), 0'(0(0(0(0(1(z0)))))), 0'(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(2(c_0(2(c_1(2(c_1(2(2(c_0(2(c_1(2(2(c_1(c_1(c_0(z0)))))))))))))))))))) -> c80(0'(2(0(1(1(1(0(1(0(1(2(0(2(2(1(0(2(0(0(2(z0)))))))))))))))))))), 0'(1(1(1(0(1(0(1(2(0(2(2(1(0(2(0(0(2(z0)))))))))))))))))), 1'(1(1(0(1(0(1(2(0(2(2(1(0(2(0(0(2(z0))))))))))))))))), 1'(1(0(1(0(1(2(0(2(2(1(0(2(0(0(2(z0)))))))))))))))), 1'(0(1(0(1(2(0(2(2(1(0(2(0(0(2(z0))))))))))))))), 0'(1(0(1(2(0(2(2(1(0(2(0(0(2(z0)))))))))))))), 1'(0(1(2(0(2(2(1(0(2(0(0(2(z0))))))))))))), 0'(1(2(0(2(2(1(0(2(0(0(2(z0)))))))))))), 1'(2(0(2(2(1(0(2(0(0(2(z0))))))))))), 0'(2(2(1(0(2(0(0(2(z0))))))))), 1'(0(2(0(0(2(z0)))))), 0'(2(0(0(2(z0))))), 0'(0(2(z0))), 0'(2(z0)))
   0'(2(c_1(c_1(2(c_1(2(2(2(c_0(c_0(c_1(c_0(2(c_1(c_1(c_1(2(2(c_0(z0)))))))))))))))))))) -> c83(0'(0(0(2(1(0(1(2(1(2(1(1(1(2(0(0(0(1(1(0(z0)))))))))))))))))))), 0'(0(2(1(0(1(2(1(2(1(1(1(2(0(0(0(1(1(0(z0))))))))))))))))))), 0'(2(1(0(1(2(1(2(1(1(1(2(0(0(0(1(1(0(z0)))))))))))))))))), 1'(0(1(2(1(2(1(1(1(2(0(0(0(1(1(0(z0)))))))))))))))), 0'(1(2(1(2(1(1(1(2(0(0(0(1(1(0(z0))))))))))))))), 1'(2(1(2(1(1(1(2(0(0(0(1(1(0(z0)))))))))))))), 1'(2(1(1(1(2(0(0(0(1(1(0(z0)))))))))))), 1'(1(1(2(0(0(0(1(1(0(z0)))))))))), 1'(1(2(0(0(0(1(1(0(z0))))))))), 1'(2(0(0(0(1(1(0(z0)))))))), 0'(0(0(1(1(0(z0)))))), 0'(0(1(1(0(z0))))), 0'(1(1(0(z0)))), 1'(1(0(z0))), 1'(0(z0)), 0'(z0))
   0'(c_1(2(c_0(c_0(2(c_1(c_1(c_0(2(c_1(c_0(c_1(c_1(c_1(c_0(c_1(c_1(c_0(c_0(z0)))))))))))))))))))) -> c84(0'(0(0(2(0(1(1(2(2(0(2(0(0(2(1(0(0(2(1(1(z0)))))))))))))))))))), 0'(0(2(0(1(1(2(2(0(2(0(0(2(1(0(0(2(1(1(z0))))))))))))))))))), 0'(2(0(1(1(2(2(0(2(0(0(2(1(0(0(2(1(1(z0)))))))))))))))))), 0'(1(1(2(2(0(2(0(0(2(1(0(0(2(1(1(z0)))))))))))))))), 1'(1(2(2(0(2(0(0(2(1(0(0(2(1(1(z0))))))))))))))), 1'(2(2(0(2(0(0(2(1(0(0(2(1(1(z0)))))))))))))), 0'(2(0(0(2(1(0(0(2(1(1(z0))))))))))), 0'(0(2(1(0(0(2(1(1(z0))))))))), 0'(2(1(0(0(2(1(1(z0)))))))), 1'(0(0(2(1(1(z0)))))), 0'(0(2(1(1(z0))))), 0'(2(1(1(z0)))), 1'(1(z0)), 1'(z0))
   0'(c_0(c_1(c_0(2(2(2(2(c_1(c_0(2(c_1(c_0(2(2(c_0(c_1(c_1(2(c_1(z0)))))))))))))))))))) -> c85(0'(0(1(0(0(0(0(2(2(2(2(0(0(0(1(0(0(2(1(1(z0)))))))))))))))))))), 0'(1(0(0(0(0(2(2(2(2(0(0(0(1(0(0(2(1(1(z0))))))))))))))))))), 1'(0(0(0(0(2(2(2(2(0(0(0(1(0(0(2(1(1(z0)))))))))))))))))), 0'(0(0(0(2(2(2(2(0(0(0(1(0(0(2(1(1(z0))))))))))))))))), 0'(0(0(2(2(2(2(0(0(0(1(0(0(2(1(1(z0)))))))))))))))), 0'(0(2(2(2(2(0(0(0(1(0(0(2(1(1(z0))))))))))))))), 0'(2(2(2(2(0(0(0(1(0(0(2(1(1(z0)))))))))))))), 0'(0(0(1(0(0(2(1(1(z0))))))))), 0'(0(1(0(0(2(1(1(z0)))))))), 0'(1(0(0(2(1(1(z0))))))), 1'(0(0(2(1(1(z0)))))), 0'(0(2(1(1(z0))))), 0'(2(1(1(z0)))), 1'(1(z0)), 1'(z0))
   0'(c_0(c_0(c_1(2(c_0(2(2(c_1(c_1(c_0(c_1(c_0(c_1(2(c_0(c_1(c_1(c_1(c_1(z0)))))))))))))))))))) -> c88(0'(1(2(0(1(2(1(0(1(0(1(0(2(0(1(1(1(1(0(2(z0)))))))))))))))))))), 1'(2(0(1(2(1(0(1(0(1(0(2(0(1(1(1(1(0(2(z0))))))))))))))))))), 0'(1(2(1(0(1(0(1(0(2(0(1(1(1(1(0(2(z0))))))))))))))))), 1'(2(1(0(1(0(1(0(2(0(1(1(1(1(0(2(z0)))))))))))))))), 1'(0(1(0(1(0(2(0(1(1(1(1(0(2(z0)))))))))))))), 0'(1(0(1(0(2(0(1(1(1(1(0(2(z0))))))))))))), 1'(0(1(0(2(0(1(1(1(1(0(2(z0)))))))))))), 0'(1(0(2(0(1(1(1(1(0(2(z0))))))))))), 1'(0(2(0(1(1(1(1(0(2(z0)))))))))), 0'(2(0(1(1(1(1(0(2(z0))))))))), 0'(1(1(1(1(0(2(z0))))))), 1'(1(1(1(0(2(z0)))))), 1'(1(1(0(2(z0))))), 1'(1(0(2(z0)))), 1'(0(2(z0))), 0'(2(z0)))
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   0'(c_1(c_0(c_1(c_1(2(c_1(c_0(c_0(c_0(2(2(2(c_1(2(c_1(2(c_1(c_0(2(z0)))))))))))))))))))) -> c102(0'(1(0(0(2(2(1(2(1(0(1(0(0(0(2(0(0(2(1(2(z0)))))))))))))))))))), 1'(0(0(2(2(1(2(1(0(1(0(0(0(2(0(0(2(1(2(z0))))))))))))))))))), 0'(0(2(2(1(2(1(0(1(0(0(0(2(0(0(2(1(2(z0)))))))))))))))))), 0'(2(2(1(2(1(0(1(0(0(0(2(0(0(2(1(2(z0))))))))))))))))), 1'(2(1(0(1(0(0(0(2(0(0(2(1(2(z0)))))))))))))), 1'(0(1(0(0(0(2(0(0(2(1(2(z0)))))))))))), 0'(1(0(0(0(2(0(0(2(1(2(z0))))))))))), 1'(0(0(0(2(0(0(2(1(2(z0)))))))))), 0'(0(0(2(0(0(2(1(2(z0))))))))), 0'(0(2(0(0(2(1(2(z0)))))))), 0'(2(0(0(2(1(2(z0))))))), 0'(0(2(1(2(z0))))), 0'(2(1(2(z0)))), 1'(2(z0)))
   0'(c_0(c_1(c_0(2(c_1(2(2(2(2(c_0(c_1(2(c_0(c_1(c_1(2(2(c_0(2(z0)))))))))))))))))))) -> c103(0'(0(2(1(1(0(0(2(2(2(0(1(2(2(0(1(2(2(0(2(z0)))))))))))))))))))), 0'(2(1(1(0(0(2(2(2(0(1(2(2(0(1(2(2(0(2(z0))))))))))))))))))), 1'(1(0(0(2(2(2(0(1(2(2(0(1(2(2(0(2(z0))))))))))))))))), 1'(0(0(2(2(2(0(1(2(2(0(1(2(2(0(2(z0)))))))))))))))), 0'(0(2(2(2(0(1(2(2(0(1(2(2(0(2(z0))))))))))))))), 0'(2(2(2(0(1(2(2(0(1(2(2(0(2(z0)))))))))))))), 0'(1(2(2(0(1(2(2(0(2(z0)))))))))), 1'(2(2(0(1(2(2(0(2(z0))))))))), 0'(1(2(2(0(2(z0)))))), 1'(2(2(0(2(z0))))), 0'(2(z0)))
   0'(c_1(c_1(c_0(c_1(2(c_1(2(c_0(2(2(c_1(c_0(c_0(2(c_0(c_1(c_0(c_1(c_1(z0)))))))))))))))))))) -> c104(0'(0(0(1(2(0(2(2(2(0(1(0(1(2(1(1(1(0(2(0(z0)))))))))))))))))))), 0'(0(1(2(0(2(2(2(0(1(0(1(2(1(1(1(0(2(0(z0))))))))))))))))))), 0'(1(2(0(2(2(2(0(1(0(1(2(1(1(1(0(2(0(z0)))))))))))))))))), 1'(2(0(2(2(2(0(1(0(1(2(1(1(1(0(2(0(z0))))))))))))))))), 0'(2(2(2(0(1(0(1(2(1(1(1(0(2(0(z0))))))))))))))), 0'(1(0(1(2(1(1(1(0(2(0(z0))))))))))), 1'(0(1(2(1(1(1(0(2(0(z0)))))))))), 0'(1(2(1(1(1(0(2(0(z0))))))))), 1'(2(1(1(1(0(2(0(z0)))))))), 1'(1(1(0(2(0(z0)))))), 1'(1(0(2(0(z0))))), 1'(0(2(0(z0)))), 0'(2(0(z0))), 0'(z0))
   1'(2(2(c_0(2(c_0(2(c_1(2(c_1(2(c_1(c_0(c_0(c_1(c_0(c_0(2(c_0(c_1(z0)))))))))))))))))))) -> c106(1'(0(1(2(0(1(0(0(1(0(0(0(2(1(0(0(1(0(0(2(z0)))))))))))))))))))), 0'(1(2(0(1(0(0(1(0(0(0(2(1(0(0(1(0(0(2(z0))))))))))))))))))), 1'(2(0(1(0(0(1(0(0(0(2(1(0(0(1(0(0(2(z0)))))))))))))))))), 0'(1(0(0(1(0(0(0(2(1(0(0(1(0(0(2(z0)))))))))))))))), 1'(0(0(1(0(0(0(2(1(0(0(1(0(0(2(z0))))))))))))))), 0'(0(1(0(0(0(2(1(0(0(1(0(0(2(z0)))))))))))))), 0'(1(0(0(0(2(1(0(0(1(0(0(2(z0))))))))))))), 1'(0(0(0(2(1(0(0(1(0(0(2(z0)))))))))))), 0'(0(0(2(1(0(0(1(0(0(2(z0))))))))))), 0'(0(2(1(0(0(1(0(0(2(z0)))))))))), 0'(2(1(0(0(1(0(0(2(z0))))))))), 1'(0(0(1(0(0(2(z0))))))), 0'(0(1(0(0(2(z0)))))), 0'(1(0(0(2(z0))))), 1'(0(0(2(z0)))), 0'(0(2(z0))), 0'(2(z0)))
   0'(2(c_1(c_1(c_1(c_0(2(c_1(c_1(c_0(c_1(c_0(2(2(c_0(c_0(2(c_0(2(c_1(z0)))))))))))))))))))) -> c9(0'(1(0(1(2(2(2(1(1(0(2(2(1(2(0(0(0(0(2(1(z0)))))))))))))))))))), 1'(0(1(2(2(2(1(1(0(2(2(1(2(0(0(0(0(2(1(z0))))))))))))))))))), 0'(1(2(2(2(1(1(0(2(2(1(2(0(0(0(0(2(1(z0)))))))))))))))))), 1'(1(0(2(2(1(2(0(0(0(0(2(1(z0))))))))))))), 1'(0(2(2(1(2(0(0(0(0(2(1(z0)))))))))))), 0'(2(2(1(2(0(0(0(0(2(1(z0))))))))))), 1'(2(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))), 1'(z0))
   0'(c_0(2(c_0(2(c_1(c_1(2(c_1(c_1(c_1(c_1(c_1(c_0(c_1(c_1(c_1(2(2(c_1(z0)))))))))))))))))))) -> c21(0'(2(0(0(2(1(1(2(2(0(2(0(1(2(2(2(1(1(1(2(z0)))))))))))))))))))), 0'(0(2(1(1(2(2(0(2(0(1(2(2(2(1(1(1(2(z0)))))))))))))))))), 0'(2(1(1(2(2(0(2(0(1(2(2(2(1(1(1(2(z0))))))))))))))))), 1'(1(2(2(0(2(0(1(2(2(2(1(1(1(2(z0))))))))))))))), 1'(2(2(0(2(0(1(2(2(2(1(1(1(2(z0)))))))))))))), 0'(2(0(1(2(2(2(1(1(1(2(z0))))))))))), 0'(1(2(2(2(1(1(1(2(z0))))))))), 1'(1(1(2(z0)))), 1'(1(2(z0))), 1'(2(z0)))
   0'(2(c_0(c_1(c_1(c_1(c_0(c_1(2(2(c_0(2(c_0(2(c_0(2(c_1(2(c_0(c_1(z0)))))))))))))))))))) -> c22(0'(2(2(0(1(2(2(2(2(1(0(2(1(2(0(0(2(2(2(1(z0)))))))))))))))))))), 0'(1(2(2(2(2(1(0(2(1(2(0(0(2(2(2(1(z0))))))))))))))))), 1'(0(2(1(2(0(0(2(2(2(1(z0))))))))))), 0'(2(1(2(0(0(2(2(2(1(z0)))))))))), 1'(2(0(0(2(2(2(1(z0)))))))), 0'(0(2(2(2(1(z0)))))), 0'(2(2(2(1(z0))))), 1'(z0))
   0'(2(c_0(2(c_1(c_0(c_0(c_1(2(c_0(2(c_0(c_1(c_0(c_1(c_1(c_1(2(2(c_1(z0)))))))))))))))))))) -> c31(0'(0(1(0(1(0(1(1(2(1(0(0(0(1(2(2(2(0(1(0(z0)))))))))))))))))))), 0'(1(0(1(0(1(1(2(1(0(0(0(1(2(2(2(0(1(0(z0))))))))))))))))))), 1'(0(1(0(1(1(2(1(0(0(0(1(2(2(2(0(1(0(z0)))))))))))))))))), 0'(1(0(1(1(2(1(0(0(0(1(2(2(2(0(1(0(z0))))))))))))))))), 1'(0(1(1(2(1(0(0(0(1(2(2(2(0(1(0(z0)))))))))))))))), 0'(1(1(2(1(0(0(0(1(2(2(2(0(1(0(z0))))))))))))))), 1'(1(2(1(0(0(0(1(2(2(2(0(1(0(z0)))))))))))))), 1'(2(1(0(0(0(1(2(2(2(0(1(0(z0))))))))))))), 1'(0(0(0(1(2(2(2(0(1(0(z0))))))))))), 0'(0(0(1(2(2(2(0(1(0(z0)))))))))), 0'(0(1(2(2(2(0(1(0(z0))))))))), 0'(1(2(2(2(0(1(0(z0)))))))), 0'(1(0(z0))), 1'(0(z0)), 0'(z0))
   0'(c_1(c_1(2(c_0(c_1(c_0(c_0(c_1(2(c_0(2(c_1(c_0(c_0(c_0(c_0(2(c_0(c_1(z0)))))))))))))))))))) -> c40(0'(0(2(1(2(2(2(1(2(1(0(0(0(2(2(1(0(1(2(0(z0)))))))))))))))))))), 0'(2(1(2(2(2(1(2(1(0(0(0(2(2(1(0(1(2(0(z0))))))))))))))))))), 1'(2(1(0(0(0(2(2(1(0(1(2(0(z0))))))))))))), 1'(0(0(0(2(2(1(0(1(2(0(z0))))))))))), 0'(0(0(2(2(1(0(1(2(0(z0)))))))))), 0'(0(2(2(1(0(1(2(0(z0))))))))), 0'(2(2(1(0(1(2(0(z0)))))))), 1'(0(1(2(0(z0))))), 0'(1(2(0(z0)))), 1'(2(0(z0))), 0'(z0))
   0'(c_1(c_0(2(2(2(c_1(2(c_1(c_1(c_1(2(c_1(c_0(2(c_1(c_1(c_1(c_0(c_1(z0)))))))))))))))))))) -> c61(0'(0(1(2(2(2(1(0(0(1(1(2(1(1(2(0(0(1(2(0(z0)))))))))))))))))))), 0'(1(2(2(2(1(0(0(1(1(2(1(1(2(0(0(1(2(0(z0))))))))))))))))))), 1'(0(0(1(1(2(1(1(2(0(0(1(2(0(z0)))))))))))))), 0'(0(1(1(2(1(1(2(0(0(1(2(0(z0))))))))))))), 0'(1(1(2(1(1(2(0(0(1(2(0(z0)))))))))))), 1'(1(2(1(1(2(0(0(1(2(0(z0))))))))))), 1'(2(1(1(2(0(0(1(2(0(z0)))))))))), 1'(1(2(0(0(1(2(0(z0)))))))), 1'(2(0(0(1(2(0(z0))))))), 0'(0(1(2(0(z0))))), 0'(1(2(0(z0)))), 1'(2(0(z0))), 0'(z0))
   0'(c_1(c_1(c_0(2(c_1(c_1(c_0(c_0(c_1(c_1(c_1(2(2(2(c_0(2(c_0(c_0(2(z0)))))))))))))))))))) -> c63(0'(1(2(1(0(2(1(0(1(2(2(2(0(0(2(0(2(2(1(2(z0)))))))))))))))))))), 1'(2(1(0(2(1(0(1(2(2(2(0(0(2(0(2(2(1(2(z0))))))))))))))))))), 1'(0(2(1(0(1(2(2(2(0(0(2(0(2(2(1(2(z0))))))))))))))))), 0'(2(1(0(1(2(2(2(0(0(2(0(2(2(1(2(z0)))))))))))))))), 1'(0(1(2(2(2(0(0(2(0(2(2(1(2(z0)))))))))))))), 0'(1(2(2(2(0(0(2(0(2(2(1(2(z0))))))))))))), 0'(0(2(0(2(2(1(2(z0)))))))), 0'(2(0(2(2(1(2(z0))))))), 0'(2(2(1(2(z0))))), 1'(2(z0)))
   0'(c_1(c_1(c_1(c_1(2(c_0(c_0(c_0(2(2(2(2(c_1(c_0(2(2(2(c_0(c_1(z0)))))))))))))))))))) -> c65(0'(2(0(0(0(1(2(0(1(2(2(2(1(2(1(1(1(2(1(2(z0)))))))))))))))))))), 0'(0(0(1(2(0(1(2(2(2(1(2(1(1(1(2(1(2(z0)))))))))))))))))), 0'(0(1(2(0(1(2(2(2(1(2(1(1(1(2(1(2(z0))))))))))))))))), 0'(1(2(0(1(2(2(2(1(2(1(1(1(2(1(2(z0)))))))))))))))), 1'(2(0(1(2(2(2(1(2(1(1(1(2(1(2(z0))))))))))))))), 0'(1(2(2(2(1(2(1(1(1(2(1(2(z0))))))))))))), 1'(2(1(1(1(2(1(2(z0)))))))), 1'(1(1(2(1(2(z0)))))), 1'(1(2(1(2(z0))))), 1'(2(1(2(z0)))), 1'(2(z0)))
   0'(2(c_1(c_1(c_1(c_0(c_0(c_1(2(c_1(2(c_1(c_1(2(c_0(2(c_1(c_0(c_1(2(z0)))))))))))))))))))) -> c74(0'(1(0(1(0(2(0(0(0(1(1(1(2(0(0(0(1(2(2(2(z0)))))))))))))))))))), 1'(0(1(0(2(0(0(0(1(1(1(2(0(0(0(1(2(2(2(z0))))))))))))))))))), 0'(1(0(2(0(0(0(1(1(1(2(0(0(0(1(2(2(2(z0)))))))))))))))))), 1'(0(2(0(0(0(1(1(1(2(0(0(0(1(2(2(2(z0))))))))))))))))), 0'(2(0(0(0(1(1(1(2(0(0(0(1(2(2(2(z0)))))))))))))))), 0'(0(0(1(1(1(2(0(0(0(1(2(2(2(z0)))))))))))))), 0'(0(1(1(1(2(0(0(0(1(2(2(2(z0))))))))))))), 0'(1(1(1(2(0(0(0(1(2(2(2(z0)))))))))))), 1'(1(1(2(0(0(0(1(2(2(2(z0))))))))))), 1'(1(2(0(0(0(1(2(2(2(z0)))))))))), 1'(2(0(0(0(1(2(2(2(z0))))))))), 0'(0(0(1(2(2(2(z0))))))), 0'(0(1(2(2(2(z0)))))), 0'(1(2(2(2(z0))))))
   0'(2(2(c_1(c_1(c_1(c_1(c_0(c_0(c_1(c_0(c_1(c_0(2(2(c_1(c_1(2(2(c_1(z0)))))))))))))))))))) -> c75(0'(2(2(2(0(2(2(1(1(2(2(2(2(0(2(0(0(2(0(2(z0)))))))))))))))))))), 0'(2(2(1(1(2(2(2(2(0(2(0(0(2(0(2(z0)))))))))))))))), 1'(1(2(2(2(2(0(2(0(0(2(0(2(z0))))))))))))), 0'(2(0(0(2(0(2(z0))))))), 0'(0(2(0(2(z0))))), 0'(2(0(2(z0)))), 0'(2(z0)))
   0'(c_1(c_0(c_1(c_1(2(2(c_0(c_0(c_0(2(2(2(c_1(c_1(c_0(c_1(c_1(c_1(c_1(z0)))))))))))))))))))) -> c81(0'(0(2(2(2(2(2(2(1(1(0(1(2(2(0(1(2(0(2(1(z0)))))))))))))))))))), 1'(1(0(1(2(2(0(1(2(0(2(1(z0)))))))))))), 1'(0(1(2(2(0(1(2(0(2(1(z0))))))))))), 0'(1(2(2(0(1(2(0(2(1(z0)))))))))), 1'(2(2(0(1(2(0(2(1(z0))))))))), 0'(1(2(0(2(1(z0)))))), 1'(2(0(2(1(z0))))), 0'(2(1(z0))), 1'(z0))
   0'(c_0(c_1(c_1(c_0(2(2(c_1(c_1(c_1(c_1(c_1(2(c_0(2(c_1(c_0(2(2(c_1(z0)))))))))))))))))))) -> c82(0'(2(0(1(1(0(1(2(2(2(0(0(2(2(2(0(2(0(0(0(z0)))))))))))))))))))), 0'(1(1(0(1(2(2(2(0(0(2(2(2(0(2(0(0(0(z0)))))))))))))))))), 1'(1(0(1(2(2(2(0(0(2(2(2(0(2(0(0(0(z0))))))))))))))))), 1'(0(1(2(2(2(0(0(2(2(2(0(2(0(0(0(z0)))))))))))))))), 0'(1(2(2(2(0(0(2(2(2(0(2(0(0(0(z0))))))))))))))), 0'(0(2(2(2(0(2(0(0(0(z0)))))))))), 0'(2(2(2(0(2(0(0(0(z0))))))))), 0'(2(0(0(0(z0))))), 0'(0(0(z0))), 0'(0(z0)), 0'(z0))
   0'(c_1(c_1(c_0(c_1(c_1(c_1(c_1(2(c_0(2(c_0(2(2(2(c_0(c_0(c_0(2(c_1(z0)))))))))))))))))))) -> c86(0'(1(0(1(2(2(2(0(2(2(1(1(2(2(2(0(0(0(1(0(z0)))))))))))))))))))), 1'(0(1(2(2(2(0(2(2(1(1(2(2(2(0(0(0(1(0(z0))))))))))))))))))), 0'(1(2(2(2(0(2(2(1(1(2(2(2(0(0(0(1(0(z0)))))))))))))))))), 0'(2(2(1(1(2(2(2(0(0(0(1(0(z0))))))))))))), 1'(1(2(2(2(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_1(c_0(c_1(2(2(2(c_1(c_1(2(c_1(2(c_1(c_0(2(c_0(c_1(2(c_0(z0)))))))))))))))))))) -> c87(0'(2(0(1(1(2(2(2(1(0(0(2(1(0(0(0(0(2(0(2(z0)))))))))))))))))))), 0'(1(1(2(2(2(1(0(0(2(1(0(0(0(0(2(0(2(z0)))))))))))))))))), 1'(1(2(2(2(1(0(0(2(1(0(0(0(0(2(0(2(z0))))))))))))))))), 1'(0(0(2(1(0(0(0(0(2(0(2(z0)))))))))))), 0'(0(2(1(0(0(0(0(2(0(2(z0))))))))))), 0'(2(1(0(0(0(0(2(0(2(z0)))))))))), 1'(0(0(0(0(2(0(2(z0)))))))), 0'(0(0(0(2(0(2(z0))))))), 0'(0(0(2(0(2(z0)))))), 0'(0(2(0(2(z0))))), 0'(2(0(2(z0)))), 0'(2(z0)))
   0'(c_1(c_1(2(c_0(2(c_0(2(2(c_1(c_1(2(c_0(c_1(2(2(c_0(c_1(c_0(c_0(z0)))))))))))))))))))) -> c91(0'(1(2(0(0(0(2(1(2(0(1(2(2(2(2(0(1(1(0(1(z0)))))))))))))))))))), 1'(2(0(0(0(2(1(2(0(1(2(2(2(2(0(1(1(0(1(z0))))))))))))))))))), 0'(0(0(2(1(2(0(1(2(2(2(2(0(1(1(0(1(z0))))))))))))))))), 0'(0(2(1(2(0(1(2(2(2(2(0(1(1(0(1(z0)))))))))))))))), 0'(2(1(2(0(1(2(2(2(2(0(1(1(0(1(z0))))))))))))))), 1'(2(0(1(2(2(2(2(0(1(1(0(1(z0))))))))))))), 0'(1(2(2(2(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))
   0'(2(c_1(c_1(2(c_0(2(2(2(c_0(c_1(2(c_0(2(c_0(2(2(c_0(c_0(c_1(z0)))))))))))))))))))) -> c92(0'(0(2(1(2(0(0(0(2(0(1(2(2(2(1(0(1(1(1(0(z0)))))))))))))))))))), 0'(2(1(2(0(0(0(2(0(1(2(2(2(1(0(1(1(1(0(z0))))))))))))))))))), 1'(2(0(0(0(2(0(1(2(2(2(1(0(1(1(1(0(z0))))))))))))))))), 0'(0(0(2(0(1(2(2(2(1(0(1(1(1(0(z0))))))))))))))), 0'(0(2(0(1(2(2(2(1(0(1(1(1(0(z0)))))))))))))), 0'(2(0(1(2(2(2(1(0(1(1(1(0(z0))))))))))))), 0'(1(2(2(2(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))
   0'(c_1(2(c_1(c_0(c_1(2(2(c_1(c_1(c_0(c_0(c_1(c_1(2(2(c_1(c_0(c_1(c_1(z0)))))))))))))))))))) -> c96(0'(2(2(2(0(2(0(2(0(1(2(1(2(2(2(1(0(0(1(0(z0)))))))))))))))))))), 0'(2(0(2(0(1(2(1(2(2(2(1(0(0(1(0(z0)))))))))))))))), 0'(2(0(1(2(1(2(2(2(1(0(0(1(0(z0)))))))))))))), 0'(1(2(1(2(2(2(1(0(0(1(0(z0)))))))))))), 1'(2(1(2(2(2(1(0(0(1(0(z0))))))))))), 1'(0(0(1(0(z0))))), 0'(0(1(0(z0)))), 0'(1(0(z0))), 1'(0(z0)), 0'(z0))
   0'(2(2(c_1(c_1(2(2(c_1(c_0(2(c_1(2(c_1(c_1(2(2(2(c_0(2(c_0(z0)))))))))))))))))))) -> c97(0'(2(1(2(2(2(1(0(0(1(0(0(0(1(2(1(1(2(2(1(z0)))))))))))))))))))), 1'(0(0(1(0(0(0(1(2(1(1(2(2(1(z0)))))))))))))), 0'(0(1(0(0(0(1(2(1(1(2(2(1(z0))))))))))))), 0'(1(0(0(0(1(2(1(1(2(2(1(z0)))))))))))), 1'(0(0(0(1(2(1(1(2(2(1(z0))))))))))), 0'(0(0(1(2(1(1(2(2(1(z0)))))))))), 0'(0(1(2(1(1(2(2(1(z0))))))))), 0'(1(2(1(1(2(2(1(z0)))))))), 1'(2(1(1(2(2(1(z0))))))), 1'(1(2(2(1(z0))))), 1'(2(2(1(z0)))), 1'(z0))
K tuples:none
Defined Rule Symbols:   0_1, 1_1, encArg_1, encode_0_1, encode_1_1, encode_2_1

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

Compound Symbols:   c_1, c1_2, c2_2, c3_2, c4_2, c7_14, c8_13, c10_13, c11_13, c12_15, c13_10, c14_13, c15_12, c16_14, c17_13, c18_13, c19_16, c20_13, c23_16, c24_12, c25_15, c26_14, c27_14, c28_14, c29_14, c30_12, c32_16, c33_14, c34_15, c35_11, c36_16, c37_16, c38_13, c39_15, c41_16, c42_11, c43_16, c44_12, c45_16, c46_15, c47_18, c48_10, c49_14, c50_13, c51_15, c52_15, c53_14, c54_15, c55_15, c56_13, c57_9, c58_11, c59_14, c60_13, c62_16, c64_15, c66_16, c67_14, c68_15, c69_14, c70_13, c71_13, c72_16, c73_15, c76_12, c77_15, c78_15, c79_16, c80_14, c83_16, c84_14, c85_15, c88_16, c89_12, c90_13, c93_14, c94_12, c95_11, c98_13, c99_15, c100_13, c101_17, c102_14, c103_11, c104_14, c106_17, c9_12, c21_10, c22_8, c31_15, c40_11, c61_13, c63_10, c65_11, c74_14, c75_7, c81_9, c82_11, c86_10, c87_12, c91_12, c92_13, c96_10, c97_12


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

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

(44)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(2(z0)) -> 2(encArg(z0))
   encArg(cons_0(z0)) -> 0(encArg(z0))
   encArg(cons_1(z0)) -> 1(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_0(c_1(c_0(2(2(c_1(2(c_0(c_0(c_1(c_1(2(2(2(c_1(c_1(2(c_1(c_1(z0)))))))))))))))))))) -> 0(2(0(2(2(0(0(1(2(0(2(0(0(1(1(0(0(2(1(1(z0))))))))))))))))))))
   0(c_1(c_0(c_1(2(c_1(c_1(c_1(c_0(c_0(c_1(c_1(2(2(2(c_0(2(c_0(c_1(2(z0)))))))))))))))))))) -> 0(2(1(1(2(1(0(2(0(1(1(0(2(0(1(0(2(2(0(2(z0))))))))))))))))))))
   0(2(c_1(c_1(c_1(c_0(2(c_1(c_1(c_0(c_1(c_0(2(2(c_0(c_0(2(c_0(2(c_1(z0)))))))))))))))))))) -> 0(1(0(1(2(2(2(1(1(0(2(2(1(2(0(0(0(0(2(1(z0))))))))))))))))))))
   0(c_1(c_0(2(2(c_1(c_1(c_0(c_1(c_0(2(2(c_1(c_0(2(c_0(c_1(c_0(c_1(c_1(z0)))))))))))))))))))) -> 0(1(2(0(0(2(2(0(0(0(0(2(1(2(1(0(1(2(0(2(z0))))))))))))))))))))
   0(2(c_1(2(c_0(c_1(c_1(c_1(2(c_0(c_1(c_1(2(c_1(2(c_0(2(c_0(2(c_0(z0)))))))))))))))))))) -> 0(1(2(1(1(0(1(1(2(1(2(0(1(0(1(2(2(0(2(2(z0))))))))))))))))))))
   0(c_0(c_1(c_0(c_0(c_1(c_1(2(c_1(c_1(2(2(c_1(c_1(2(2(c_1(c_1(c_0(2(z0)))))))))))))))))))) -> 0(1(1(0(0(2(0(0(2(0(2(1(1(1(1(1(0(2(0(2(z0))))))))))))))))))))
   0(c_1(c_1(c_0(c_1(c_0(2(c_1(c_1(2(2(c_0(2(c_0(2(c_0(2(2(c_0(c_1(z0)))))))))))))))))))) -> 0(2(0(2(1(0(0(1(2(2(1(2(2(1(2(2(1(2(2(0(z0))))))))))))))))))))
   0(c_1(c_0(c_1(c_1(c_1(c_1(2(c_0(2(2(2(2(2(2(c_1(c_0(2(c_0(c_1(z0)))))))))))))))))))) -> 0(0(0(2(2(1(0(0(1(2(1(0(2(2(1(0(0(2(2(1(z0))))))))))))))))))))
   0(c_0(2(2(c_0(c_0(c_1(c_0(2(2(c_1(c_1(2(2(c_1(c_0(2(2(c_0(c_1(z0)))))))))))))))))))) -> 0(2(0(2(2(1(0(0(2(2(1(2(1(1(0(0(2(0(2(1(z0))))))))))))))))))))
   0(c_0(2(2(c_1(c_1(c_1(c_0(c_1(c_0(c_1(c_0(c_1(2(2(2(c_1(2(c_0(c_0(z0)))))))))))))))))))) -> 0(1(0(2(0(2(2(1(0(1(0(2(1(2(1(0(1(1(1(2(z0))))))))))))))))))))
   0(c_1(c_1(c_0(c_0(2(c_0(2(c_1(c_1(c_1(2(c_1(2(c_1(c_0(c_0(c_1(c_1(c_1(z0)))))))))))))))))))) -> 0(1(0(0(2(2(0(0(2(2(0(2(0(0(1(2(1(0(1(2(z0))))))))))))))))))))
   0(c_1(c_1(c_0(2(c_1(2(c_1(c_1(c_0(c_1(c_1(2(c_1(c_0(c_1(c_0(c_1(c_1(c_1(z0)))))))))))))))))))) -> 0(1(1(1(2(1(2(2(0(1(1(0(2(2(0(0(2(1(0(2(z0))))))))))))))))))))
   0(2(c_1(c_1(c_1(2(2(c_0(c_0(c_0(2(c_1(c_0(c_1(2(2(c_1(c_0(2(c_0(z0)))))))))))))))))))) -> 0(1(0(1(0(0(0(1(0(2(1(1(0(0(2(1(2(0(2(1(z0))))))))))))))))))))
   0(c_0(c_0(2(c_1(2(2(c_0(c_1(c_1(c_0(c_0(c_1(c_1(2(c_1(c_0(2(2(c_1(z0)))))))))))))))))))) -> 0(2(0(1(1(2(0(1(2(1(2(1(0(2(2(0(2(0(1(0(z0))))))))))))))))))))
   0(c_0(2(c_0(2(c_1(c_1(2(c_1(c_1(c_1(c_1(c_1(c_0(c_1(c_1(c_1(2(2(c_1(z0)))))))))))))))))))) -> 0(2(0(0(2(1(1(2(2(0(2(0(1(2(2(2(1(1(1(2(z0))))))))))))))))))))
   0(2(c_0(c_1(c_1(c_1(c_0(c_1(2(2(c_0(2(c_0(2(c_0(2(c_1(2(c_0(c_1(z0)))))))))))))))))))) -> 0(2(2(0(1(2(2(2(2(1(0(2(1(2(0(0(2(2(2(1(z0))))))))))))))))))))
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   0(c_1(c_1(c_0(2(2(c_0(c_1(2(2(2(c_0(2(2(c_1(2(c_1(2(c_1(c_0(z0)))))))))))))))))))) -> 0(0(2(0(0(2(0(2(1(0(2(2(2(0(0(0(2(1(1(2(z0))))))))))))))))))))
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   0(c_0(c_1(2(c_0(c_1(2(c_0(c_1(c_1(c_1(c_0(2(2(c_1(c_0(2(c_1(c_1(2(z0)))))))))))))))))))) -> 0(1(2(2(0(2(2(2(1(0(1(2(2(1(0(0(1(1(1(2(z0))))))))))))))))))))
   0(c_0(c_1(2(2(c_1(c_1(c_0(2(2(2(c_0(c_1(c_1(c_1(c_1(c_0(c_1(2(c_1(z0)))))))))))))))))))) -> 0(1(2(2(0(1(1(1(2(0(2(0(0(1(2(0(2(1(2(0(z0))))))))))))))))))))
   0(c_1(c_1(2(c_0(2(c_0(2(2(c_1(c_1(2(c_0(c_1(2(2(c_0(c_1(c_0(c_0(z0)))))))))))))))))))) -> 0(1(2(0(0(0(2(1(2(0(1(2(2(2(2(0(1(1(0(1(z0))))))))))))))))))))
   0(2(c_1(c_1(2(c_0(2(2(2(c_0(c_1(2(c_0(2(c_0(2(2(c_0(c_0(c_1(z0)))))))))))))))))))) -> 0(0(2(1(2(0(0(0(2(0(1(2(2(2(1(0(1(1(1(0(z0))))))))))))))))))))
   0(c_1(c_0(c_1(c_0(c_1(c_1(c_0(c_0(c_0(c_1(c_0(2(c_1(c_1(2(c_0(c_1(c_0(c_1(z0)))))))))))))))))))) -> 0(0(2(1(1(0(0(2(0(2(1(0(1(1(0(2(2(0(1(2(z0))))))))))))))))))))
   0(c_0(c_1(2(2(c_0(c_1(c_1(2(c_0(c_0(2(2(c_1(c_0(2(c_1(2(c_1(c_0(z0)))))))))))))))))))) -> 0(2(2(0(2(0(2(1(0(2(0(0(2(2(1(0(0(0(2(0(z0))))))))))))))))))))
   0(c_0(c_0(2(2(c_1(c_1(2(2(c_0(c_0(2(c_1(2(c_0(c_1(c_1(c_0(2(2(z0)))))))))))))))))))) -> 0(2(2(2(1(0(0(2(1(2(1(2(1(2(1(1(1(2(0(2(z0))))))))))))))))))))
   0(c_1(2(c_1(c_0(c_1(2(2(c_1(c_1(c_0(c_0(c_1(c_1(2(2(c_1(c_0(c_1(c_1(z0)))))))))))))))))))) -> 0(2(2(2(0(2(0(2(0(1(2(1(2(2(2(1(0(0(1(0(z0))))))))))))))))))))
   0(2(2(c_1(c_1(2(2(c_1(c_0(2(c_1(2(c_1(c_1(2(2(2(c_0(2(c_0(z0)))))))))))))))))))) -> 0(2(1(2(2(2(1(0(0(1(0(0(0(1(2(1(1(2(2(1(z0))))))))))))))))))))
   0(c_1(c_1(c_1(2(2(c_1(2(c_1(c_1(c_1(c_0(c_0(c_1(c_1(c_1(2(c_1(c_1(c_0(z0)))))))))))))))))))) -> 0(0(1(0(2(0(1(1(1(2(0(2(1(2(2(0(2(1(2(1(z0))))))))))))))))))))
   0(c_0(2(c_0(c_1(c_1(2(c_0(2(c_1(c_0(2(2(c_1(c_1(c_0(c_1(2(c_0(c_1(z0)))))))))))))))))))) -> 0(1(2(0(2(0(1(0(1(2(1(0(0(2(2(1(0(1(0(1(z0))))))))))))))))))))
   0(c_1(c_1(2(2(2(2(c_1(c_0(2(c_0(c_0(c_1(2(2(c_1(2(2(2(2(z0)))))))))))))))))))) -> 0(1(0(0(2(0(0(1(2(1(2(0(1(2(2(1(0(2(0(2(z0))))))))))))))))))))
   0(2(c_0(c_1(2(c_1(c_1(c_1(c_1(2(c_0(2(c_1(2(c_0(c_1(2(2(c_0(c_1(z0)))))))))))))))))))) -> 0(1(1(1(1(2(1(0(0(1(1(0(2(1(0(0(2(0(0(1(z0))))))))))))))))))))
   0(c_1(c_0(c_1(c_1(2(c_1(c_0(c_0(c_0(2(2(2(c_1(2(c_1(2(c_1(c_0(2(z0)))))))))))))))))))) -> 0(1(0(0(2(2(1(2(1(0(1(0(0(0(2(0(0(2(1(2(z0))))))))))))))))))))
   0(c_0(c_1(c_0(2(c_1(2(2(2(2(c_0(c_1(2(c_0(c_1(c_1(2(2(c_0(2(z0)))))))))))))))))))) -> 0(0(2(1(1(0(0(2(2(2(0(1(2(2(0(1(2(2(0(2(z0))))))))))))))))))))
   0(c_1(c_1(c_0(c_1(2(c_1(2(c_0(2(2(c_1(c_0(c_0(2(c_0(c_1(c_0(c_1(c_1(z0)))))))))))))))))))) -> 0(0(0(1(2(0(2(2(2(0(1(0(1(2(1(1(1(0(2(0(z0))))))))))))))))))))
   1(z0) -> c_1(z0)
   1(2(2(c_0(2(c_0(2(c_1(2(c_1(2(c_1(c_0(c_0(c_1(c_0(c_0(2(c_0(c_1(z0)))))))))))))))))))) -> 1(0(1(2(0(1(0(0(1(0(0(0(2(1(0(0(1(0(0(2(z0))))))))))))))))))))
Tuples:
   ENCARG(2(z0)) -> c(ENCARG(z0))
   ENCARG(cons_0(z0)) -> c1(0'(encArg(z0)), ENCARG(z0))
   ENCARG(cons_1(z0)) -> c2(1'(encArg(z0)), ENCARG(z0))
   0'(c_0(c_1(c_0(2(2(c_1(2(c_0(c_0(c_1(c_1(2(2(2(c_1(c_1(2(c_1(c_1(z0)))))))))))))))))))) -> c7(0'(2(0(2(2(0(0(1(2(0(2(0(0(1(1(0(0(2(1(1(z0)))))))))))))))))))), 0'(2(2(0(0(1(2(0(2(0(0(1(1(0(0(2(1(1(z0)))))))))))))))))), 0'(0(1(2(0(2(0(0(1(1(0(0(2(1(1(z0))))))))))))))), 0'(1(2(0(2(0(0(1(1(0(0(2(1(1(z0)))))))))))))), 1'(2(0(2(0(0(1(1(0(0(2(1(1(z0))))))))))))), 0'(2(0(0(1(1(0(0(2(1(1(z0))))))))))), 0'(0(1(1(0(0(2(1(1(z0))))))))), 0'(1(1(0(0(2(1(1(z0)))))))), 1'(1(0(0(2(1(1(z0))))))), 1'(0(0(2(1(1(z0)))))), 0'(0(2(1(1(z0))))), 0'(2(1(1(z0)))), 1'(1(z0)), 1'(z0))
   0'(c_1(c_0(c_1(2(c_1(c_1(c_1(c_0(c_0(c_1(c_1(2(2(2(c_0(2(c_0(c_1(2(z0)))))))))))))))))))) -> c8(0'(2(1(1(2(1(0(2(0(1(1(0(2(0(1(0(2(2(0(2(z0)))))))))))))))))))), 1'(1(2(1(0(2(0(1(1(0(2(0(1(0(2(2(0(2(z0)))))))))))))))))), 1'(2(1(0(2(0(1(1(0(2(0(1(0(2(2(0(2(z0))))))))))))))))), 1'(0(2(0(1(1(0(2(0(1(0(2(2(0(2(z0))))))))))))))), 0'(2(0(1(1(0(2(0(1(0(2(2(0(2(z0)))))))))))))), 0'(1(1(0(2(0(1(0(2(2(0(2(z0)))))))))))), 1'(1(0(2(0(1(0(2(2(0(2(z0))))))))))), 1'(0(2(0(1(0(2(2(0(2(z0)))))))))), 0'(2(0(1(0(2(2(0(2(z0))))))))), 0'(1(0(2(2(0(2(z0))))))), 1'(0(2(2(0(2(z0)))))), 0'(2(2(0(2(z0))))), 0'(2(z0)))
   0'(c_1(c_0(2(2(c_1(c_1(c_0(c_1(c_0(2(2(c_1(c_0(2(c_0(c_1(c_0(c_1(c_1(z0)))))))))))))))))))) -> c10(0'(1(2(0(0(2(2(0(0(0(0(2(1(2(1(0(1(2(0(2(z0)))))))))))))))))))), 1'(2(0(0(2(2(0(0(0(0(2(1(2(1(0(1(2(0(2(z0))))))))))))))))))), 0'(0(2(2(0(0(0(0(2(1(2(1(0(1(2(0(2(z0))))))))))))))))), 0'(2(2(0(0(0(0(2(1(2(1(0(1(2(0(2(z0)))))))))))))))), 0'(0(0(0(2(1(2(1(0(1(2(0(2(z0))))))))))))), 0'(0(0(2(1(2(1(0(1(2(0(2(z0)))))))))))), 0'(0(2(1(2(1(0(1(2(0(2(z0))))))))))), 0'(2(1(2(1(0(1(2(0(2(z0)))))))))), 1'(2(1(0(1(2(0(2(z0)))))))), 1'(0(1(2(0(2(z0)))))), 0'(1(2(0(2(z0))))), 1'(2(0(2(z0)))), 0'(2(z0)))
   0'(2(c_1(2(c_0(c_1(c_1(c_1(2(c_0(c_1(c_1(2(c_1(2(c_0(2(c_0(2(c_0(z0)))))))))))))))))))) -> c11(0'(1(2(1(1(0(1(1(2(1(2(0(1(0(1(2(2(0(2(2(z0)))))))))))))))))))), 1'(2(1(1(0(1(1(2(1(2(0(1(0(1(2(2(0(2(2(z0))))))))))))))))))), 1'(1(0(1(1(2(1(2(0(1(0(1(2(2(0(2(2(z0))))))))))))))))), 1'(0(1(1(2(1(2(0(1(0(1(2(2(0(2(2(z0)))))))))))))))), 0'(1(1(2(1(2(0(1(0(1(2(2(0(2(2(z0))))))))))))))), 1'(1(2(1(2(0(1(0(1(2(2(0(2(2(z0)))))))))))))), 1'(2(1(2(0(1(0(1(2(2(0(2(2(z0))))))))))))), 1'(2(0(1(0(1(2(2(0(2(2(z0))))))))))), 0'(1(0(1(2(2(0(2(2(z0))))))))), 1'(0(1(2(2(0(2(2(z0)))))))), 0'(1(2(2(0(2(2(z0))))))), 1'(2(2(0(2(2(z0)))))), 0'(2(2(z0))))
   0'(c_0(c_1(c_0(c_0(c_1(c_1(2(c_1(c_1(2(2(c_1(c_1(2(2(c_1(c_1(c_0(2(z0)))))))))))))))))))) -> c12(0'(1(1(0(0(2(0(0(2(0(2(1(1(1(1(1(0(2(0(2(z0)))))))))))))))))))), 1'(1(0(0(2(0(0(2(0(2(1(1(1(1(1(0(2(0(2(z0))))))))))))))))))), 1'(0(0(2(0(0(2(0(2(1(1(1(1(1(0(2(0(2(z0)))))))))))))))))), 0'(0(2(0(0(2(0(2(1(1(1(1(1(0(2(0(2(z0))))))))))))))))), 0'(2(0(0(2(0(2(1(1(1(1(1(0(2(0(2(z0)))))))))))))))), 0'(0(2(0(2(1(1(1(1(1(0(2(0(2(z0)))))))))))))), 0'(2(0(2(1(1(1(1(1(0(2(0(2(z0))))))))))))), 0'(2(1(1(1(1(1(0(2(0(2(z0))))))))))), 1'(1(1(1(1(0(2(0(2(z0))))))))), 1'(1(1(1(0(2(0(2(z0)))))))), 1'(1(1(0(2(0(2(z0))))))), 1'(1(0(2(0(2(z0)))))), 1'(0(2(0(2(z0))))), 0'(2(0(2(z0)))), 0'(2(z0)))
   0'(c_1(c_1(c_0(c_1(c_0(2(c_1(c_1(2(2(c_0(2(c_0(2(c_0(2(2(c_0(c_1(z0)))))))))))))))))))) -> c13(0'(2(0(2(1(0(0(1(2(2(1(2(2(1(2(2(1(2(2(0(z0)))))))))))))))))))), 0'(2(1(0(0(1(2(2(1(2(2(1(2(2(1(2(2(0(z0)))))))))))))))))), 1'(0(0(1(2(2(1(2(2(1(2(2(1(2(2(0(z0)))))))))))))))), 0'(0(1(2(2(1(2(2(1(2(2(1(2(2(0(z0))))))))))))))), 0'(1(2(2(1(2(2(1(2(2(1(2(2(0(z0)))))))))))))), 1'(2(2(1(2(2(1(2(2(1(2(2(0(z0))))))))))))), 1'(2(2(1(2(2(1(2(2(0(z0)))))))))), 1'(2(2(1(2(2(0(z0))))))), 1'(2(2(0(z0)))), 0'(z0))
   0'(c_1(c_0(c_1(c_1(c_1(c_1(2(c_0(2(2(2(2(2(2(c_1(c_0(2(c_0(c_1(z0)))))))))))))))))))) -> c14(0'(0(0(2(2(1(0(0(1(2(1(0(2(2(1(0(0(2(2(1(z0)))))))))))))))))))), 0'(0(2(2(1(0(0(1(2(1(0(2(2(1(0(0(2(2(1(z0))))))))))))))))))), 0'(2(2(1(0(0(1(2(1(0(2(2(1(0(0(2(2(1(z0)))))))))))))))))), 1'(0(0(1(2(1(0(2(2(1(0(0(2(2(1(z0))))))))))))))), 0'(0(1(2(1(0(2(2(1(0(0(2(2(1(z0)))))))))))))), 0'(1(2(1(0(2(2(1(0(0(2(2(1(z0))))))))))))), 1'(2(1(0(2(2(1(0(0(2(2(1(z0)))))))))))), 1'(0(2(2(1(0(0(2(2(1(z0)))))))))), 0'(2(2(1(0(0(2(2(1(z0))))))))), 1'(0(0(2(2(1(z0)))))), 0'(0(2(2(1(z0))))), 0'(2(2(1(z0)))), 1'(z0))
   0'(c_0(2(2(c_0(c_0(c_1(c_0(2(2(c_1(c_1(2(2(c_1(c_0(2(2(c_0(c_1(z0)))))))))))))))))))) -> c15(0'(2(0(2(2(1(0(0(2(2(1(2(1(1(0(0(2(0(2(1(z0)))))))))))))))))))), 0'(2(2(1(0(0(2(2(1(2(1(1(0(0(2(0(2(1(z0)))))))))))))))))), 1'(0(0(2(2(1(2(1(1(0(0(2(0(2(1(z0))))))))))))))), 0'(0(2(2(1(2(1(1(0(0(2(0(2(1(z0)))))))))))))), 0'(2(2(1(2(1(1(0(0(2(0(2(1(z0))))))))))))), 1'(2(1(1(0(0(2(0(2(1(z0)))))))))), 1'(1(0(0(2(0(2(1(z0)))))))), 1'(0(0(2(0(2(1(z0))))))), 0'(0(2(0(2(1(z0)))))), 0'(2(0(2(1(z0))))), 0'(2(1(z0))), 1'(z0))
   0'(c_0(2(2(c_1(c_1(c_1(c_0(c_1(c_0(c_1(c_0(c_1(2(2(2(c_1(2(c_0(c_0(z0)))))))))))))))))))) -> c16(0'(1(0(2(0(2(2(1(0(1(0(2(1(2(1(0(1(1(1(2(z0)))))))))))))))))))), 1'(0(2(0(2(2(1(0(1(0(2(1(2(1(0(1(1(1(2(z0))))))))))))))))))), 0'(2(0(2(2(1(0(1(0(2(1(2(1(0(1(1(1(2(z0)))))))))))))))))), 0'(2(2(1(0(1(0(2(1(2(1(0(1(1(1(2(z0)))))))))))))))), 1'(0(1(0(2(1(2(1(0(1(1(1(2(z0))))))))))))), 0'(1(0(2(1(2(1(0(1(1(1(2(z0)))))))))))), 1'(0(2(1(2(1(0(1(1(1(2(z0))))))))))), 0'(2(1(2(1(0(1(1(1(2(z0)))))))))), 1'(2(1(0(1(1(1(2(z0)))))))), 1'(0(1(1(1(2(z0)))))), 0'(1(1(1(2(z0))))), 1'(1(1(2(z0)))), 1'(1(2(z0))), 1'(2(z0)))
   0'(c_1(c_1(c_0(c_0(2(c_0(2(c_1(c_1(c_1(2(c_1(2(c_1(c_0(c_0(c_1(c_1(c_1(z0)))))))))))))))))))) -> c17(0'(1(0(0(2(2(0(0(2(2(0(2(0(0(1(2(1(0(1(2(z0)))))))))))))))))))), 1'(0(0(2(2(0(0(2(2(0(2(0(0(1(2(1(0(1(2(z0))))))))))))))))))), 0'(0(2(2(0(0(2(2(0(2(0(0(1(2(1(0(1(2(z0)))))))))))))))))), 0'(2(2(0(0(2(2(0(2(0(0(1(2(1(0(1(2(z0))))))))))))))))), 0'(0(2(2(0(2(0(0(1(2(1(0(1(2(z0)))))))))))))), 0'(2(2(0(2(0(0(1(2(1(0(1(2(z0))))))))))))), 0'(2(0(0(1(2(1(0(1(2(z0)))))))))), 0'(0(1(2(1(0(1(2(z0)))))))), 0'(1(2(1(0(1(2(z0))))))), 1'(2(1(0(1(2(z0)))))), 1'(0(1(2(z0)))), 0'(1(2(z0))), 1'(2(z0)))
   0'(c_1(c_1(c_0(2(c_1(2(c_1(c_1(c_0(c_1(c_1(2(c_1(c_0(c_1(c_0(c_1(c_1(c_1(z0)))))))))))))))))))) -> c18(0'(1(1(1(2(1(2(2(0(1(1(0(2(2(0(0(2(1(0(2(z0)))))))))))))))))))), 1'(1(1(2(1(2(2(0(1(1(0(2(2(0(0(2(1(0(2(z0))))))))))))))))))), 1'(1(2(1(2(2(0(1(1(0(2(2(0(0(2(1(0(2(z0)))))))))))))))))), 1'(2(1(2(2(0(1(1(0(2(2(0(0(2(1(0(2(z0))))))))))))))))), 1'(2(2(0(1(1(0(2(2(0(0(2(1(0(2(z0))))))))))))))), 0'(1(1(0(2(2(0(0(2(1(0(2(z0)))))))))))), 1'(1(0(2(2(0(0(2(1(0(2(z0))))))))))), 1'(0(2(2(0(0(2(1(0(2(z0)))))))))), 0'(2(2(0(0(2(1(0(2(z0))))))))), 0'(0(2(1(0(2(z0)))))), 0'(2(1(0(2(z0))))), 1'(0(2(z0))), 0'(2(z0)))
   0'(2(c_1(c_1(c_1(2(2(c_0(c_0(c_0(2(c_1(c_0(c_1(2(2(c_1(c_0(2(c_0(z0)))))))))))))))))))) -> c19(0'(1(0(1(0(0(0(1(0(2(1(1(0(0(2(1(2(0(2(1(z0)))))))))))))))))))), 1'(0(1(0(0(0(1(0(2(1(1(0(0(2(1(2(0(2(1(z0))))))))))))))))))), 0'(1(0(0(0(1(0(2(1(1(0(0(2(1(2(0(2(1(z0)))))))))))))))))), 1'(0(0(0(1(0(2(1(1(0(0(2(1(2(0(2(1(z0))))))))))))))))), 0'(0(0(1(0(2(1(1(0(0(2(1(2(0(2(1(z0)))))))))))))))), 0'(0(1(0(2(1(1(0(0(2(1(2(0(2(1(z0))))))))))))))), 0'(1(0(2(1(1(0(0(2(1(2(0(2(1(z0)))))))))))))), 1'(0(2(1(1(0(0(2(1(2(0(2(1(z0))))))))))))), 0'(2(1(1(0(0(2(1(2(0(2(1(z0)))))))))))), 1'(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))))))), 1'(2(0(2(1(z0))))), 0'(2(1(z0))), 1'(z0))
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   0'(2(c_1(c_1(c_0(2(c_1(c_1(c_1(c_1(2(2(c_0(c_1(c_1(c_1(2(2(c_1(c_1(z0)))))))))))))))))))) -> c29(0'(0(2(0(0(1(0(2(2(1(0(1(1(0(0(2(0(2(2(1(z0)))))))))))))))))))), 0'(2(0(0(1(0(2(2(1(0(1(1(0(0(2(0(2(2(1(z0))))))))))))))))))), 0'(0(1(0(2(2(1(0(1(1(0(0(2(0(2(2(1(z0))))))))))))))))), 0'(1(0(2(2(1(0(1(1(0(0(2(0(2(2(1(z0)))))))))))))))), 1'(0(2(2(1(0(1(1(0(0(2(0(2(2(1(z0))))))))))))))), 0'(2(2(1(0(1(1(0(0(2(0(2(2(1(z0)))))))))))))), 1'(0(1(1(0(0(2(0(2(2(1(z0))))))))))), 0'(1(1(0(0(2(0(2(2(1(z0)))))))))), 1'(1(0(0(2(0(2(2(1(z0))))))))), 1'(0(0(2(0(2(2(1(z0)))))))), 0'(0(2(0(2(2(1(z0))))))), 0'(2(0(2(2(1(z0)))))), 0'(2(2(1(z0)))), 1'(z0))
   0'(c_0(2(2(2(c_0(c_1(c_0(c_1(c_1(c_1(c_0(c_1(c_0(c_0(c_0(c_1(c_1(2(c_0(z0)))))))))))))))))))) -> c30(0'(2(0(2(2(2(2(0(2(2(1(0(0(0(0(0(0(2(0(0(z0)))))))))))))))))))), 0'(2(2(2(2(0(2(2(1(0(0(0(0(0(0(2(0(0(z0)))))))))))))))))), 0'(2(2(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)))), 0'(0(z0)), 0'(z0))
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   0'(2(2(c_1(c_1(2(c_0(c_1(c_0(c_1(c_0(2(c_0(c_1(c_0(c_1(c_0(2(c_1(c_1(z0)))))))))))))))))))) -> c34(0'(1(1(0(0(1(1(0(0(2(2(1(1(2(2(0(0(0(2(0(z0)))))))))))))))))))), 1'(1(0(0(1(1(0(0(2(2(1(1(2(2(0(0(0(2(0(z0))))))))))))))))))), 1'(0(0(1(1(0(0(2(2(1(1(2(2(0(0(0(2(0(z0)))))))))))))))))), 0'(0(1(1(0(0(2(2(1(1(2(2(0(0(0(2(0(z0))))))))))))))))), 0'(1(1(0(0(2(2(1(1(2(2(0(0(0(2(0(z0)))))))))))))))), 1'(1(0(0(2(2(1(1(2(2(0(0(0(2(0(z0))))))))))))))), 1'(0(0(2(2(1(1(2(2(0(0(0(2(0(z0)))))))))))))), 0'(0(2(2(1(1(2(2(0(0(0(2(0(z0))))))))))))), 0'(2(2(1(1(2(2(0(0(0(2(0(z0)))))))))))), 1'(1(2(2(0(0(0(2(0(z0))))))))), 1'(2(2(0(0(0(2(0(z0)))))))), 0'(0(0(2(0(z0))))), 0'(0(2(0(z0)))), 0'(2(0(z0))), 0'(z0))
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   0'(c_1(2(c_0(c_0(2(c_1(c_1(c_0(2(c_1(c_0(c_1(c_1(c_1(c_0(c_1(c_1(c_0(c_0(z0)))))))))))))))))))) -> c84(0'(0(0(2(0(1(1(2(2(0(2(0(0(2(1(0(0(2(1(1(z0)))))))))))))))))))), 0'(0(2(0(1(1(2(2(0(2(0(0(2(1(0(0(2(1(1(z0))))))))))))))))))), 0'(2(0(1(1(2(2(0(2(0(0(2(1(0(0(2(1(1(z0)))))))))))))))))), 0'(1(1(2(2(0(2(0(0(2(1(0(0(2(1(1(z0)))))))))))))))), 1'(1(2(2(0(2(0(0(2(1(0(0(2(1(1(z0))))))))))))))), 1'(2(2(0(2(0(0(2(1(0(0(2(1(1(z0)))))))))))))), 0'(2(0(0(2(1(0(0(2(1(1(z0))))))))))), 0'(0(2(1(0(0(2(1(1(z0))))))))), 0'(2(1(0(0(2(1(1(z0)))))))), 1'(0(0(2(1(1(z0)))))), 0'(0(2(1(1(z0))))), 0'(2(1(1(z0)))), 1'(1(z0)), 1'(z0))
   0'(c_0(c_1(c_0(2(2(2(2(c_1(c_0(2(c_1(c_0(2(2(c_0(c_1(c_1(2(c_1(z0)))))))))))))))))))) -> c85(0'(0(1(0(0(0(0(2(2(2(2(0(0(0(1(0(0(2(1(1(z0)))))))))))))))))))), 0'(1(0(0(0(0(2(2(2(2(0(0(0(1(0(0(2(1(1(z0))))))))))))))))))), 1'(0(0(0(0(2(2(2(2(0(0(0(1(0(0(2(1(1(z0)))))))))))))))))), 0'(0(0(0(2(2(2(2(0(0(0(1(0(0(2(1(1(z0))))))))))))))))), 0'(0(0(2(2(2(2(0(0(0(1(0(0(2(1(1(z0)))))))))))))))), 0'(0(2(2(2(2(0(0(0(1(0(0(2(1(1(z0))))))))))))))), 0'(2(2(2(2(0(0(0(1(0(0(2(1(1(z0)))))))))))))), 0'(0(0(1(0(0(2(1(1(z0))))))))), 0'(0(1(0(0(2(1(1(z0)))))))), 0'(1(0(0(2(1(1(z0))))))), 1'(0(0(2(1(1(z0)))))), 0'(0(2(1(1(z0))))), 0'(2(1(1(z0)))), 1'(1(z0)), 1'(z0))
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   0'(c_0(c_1(2(c_0(c_1(2(c_0(c_1(c_1(c_1(c_0(2(2(c_1(c_0(2(c_1(c_1(2(z0)))))))))))))))))))) -> c89(0'(1(2(2(0(2(2(2(1(0(1(2(2(1(0(0(1(1(1(2(z0)))))))))))))))))))), 1'(2(2(0(2(2(2(1(0(1(2(2(1(0(0(1(1(1(2(z0))))))))))))))))))), 0'(2(2(2(1(0(1(2(2(1(0(0(1(1(1(2(z0)))))))))))))))), 1'(0(1(2(2(1(0(0(1(1(1(2(z0)))))))))))), 0'(1(2(2(1(0(0(1(1(1(2(z0))))))))))), 1'(2(2(1(0(0(1(1(1(2(z0)))))))))), 1'(0(0(1(1(1(2(z0))))))), 0'(0(1(1(1(2(z0)))))), 0'(1(1(1(2(z0))))), 1'(1(1(2(z0)))), 1'(1(2(z0))), 1'(2(z0)))
   0'(c_0(c_1(2(2(c_1(c_1(c_0(2(2(2(c_0(c_1(c_1(c_1(c_1(c_0(c_1(2(c_1(z0)))))))))))))))))))) -> c90(0'(1(2(2(0(1(1(1(2(0(2(0(0(1(2(0(2(1(2(0(z0)))))))))))))))))))), 1'(2(2(0(1(1(1(2(0(2(0(0(1(2(0(2(1(2(0(z0))))))))))))))))))), 0'(1(1(1(2(0(2(0(0(1(2(0(2(1(2(0(z0)))))))))))))))), 1'(1(1(2(0(2(0(0(1(2(0(2(1(2(0(z0))))))))))))))), 1'(1(2(0(2(0(0(1(2(0(2(1(2(0(z0)))))))))))))), 1'(2(0(2(0(0(1(2(0(2(1(2(0(z0))))))))))))), 0'(2(0(0(1(2(0(2(1(2(0(z0))))))))))), 0'(0(1(2(0(2(1(2(0(z0))))))))), 0'(1(2(0(2(1(2(0(z0)))))))), 1'(2(0(2(1(2(0(z0))))))), 0'(2(1(2(0(z0))))), 1'(2(0(z0))), 0'(z0))
   0'(c_1(c_0(c_1(c_0(c_1(c_1(c_0(c_0(c_0(c_1(c_0(2(c_1(c_1(2(c_0(c_1(c_0(c_1(z0)))))))))))))))))))) -> c93(0'(0(2(1(1(0(0(2(0(2(1(0(1(1(0(2(2(0(1(2(z0)))))))))))))))))))), 0'(2(1(1(0(0(2(0(2(1(0(1(1(0(2(2(0(1(2(z0))))))))))))))))))), 1'(1(0(0(2(0(2(1(0(1(1(0(2(2(0(1(2(z0))))))))))))))))), 1'(0(0(2(0(2(1(0(1(1(0(2(2(0(1(2(z0)))))))))))))))), 0'(0(2(0(2(1(0(1(1(0(2(2(0(1(2(z0))))))))))))))), 0'(2(0(2(1(0(1(1(0(2(2(0(1(2(z0)))))))))))))), 0'(2(1(0(1(1(0(2(2(0(1(2(z0)))))))))))), 1'(0(1(1(0(2(2(0(1(2(z0)))))))))), 0'(1(1(0(2(2(0(1(2(z0))))))))), 1'(1(0(2(2(0(1(2(z0)))))))), 1'(0(2(2(0(1(2(z0))))))), 0'(2(2(0(1(2(z0)))))), 0'(1(2(z0))), 1'(2(z0)))
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   0'(c_0(c_1(c_0(2(c_1(2(2(2(2(c_0(c_1(2(c_0(c_1(c_1(2(2(c_0(2(z0)))))))))))))))))))) -> c103(0'(0(2(1(1(0(0(2(2(2(0(1(2(2(0(1(2(2(0(2(z0)))))))))))))))))))), 0'(2(1(1(0(0(2(2(2(0(1(2(2(0(1(2(2(0(2(z0))))))))))))))))))), 1'(1(0(0(2(2(2(0(1(2(2(0(1(2(2(0(2(z0))))))))))))))))), 1'(0(0(2(2(2(0(1(2(2(0(1(2(2(0(2(z0)))))))))))))))), 0'(0(2(2(2(0(1(2(2(0(1(2(2(0(2(z0))))))))))))))), 0'(2(2(2(0(1(2(2(0(1(2(2(0(2(z0)))))))))))))), 0'(1(2(2(0(1(2(2(0(2(z0)))))))))), 1'(2(2(0(1(2(2(0(2(z0))))))))), 0'(1(2(2(0(2(z0)))))), 1'(2(2(0(2(z0))))), 0'(2(z0)))
   0'(c_1(c_1(c_0(c_1(2(c_1(2(c_0(2(2(c_1(c_0(c_0(2(c_0(c_1(c_0(c_1(c_1(z0)))))))))))))))))))) -> c104(0'(0(0(1(2(0(2(2(2(0(1(0(1(2(1(1(1(0(2(0(z0)))))))))))))))))))), 0'(0(1(2(0(2(2(2(0(1(0(1(2(1(1(1(0(2(0(z0))))))))))))))))))), 0'(1(2(0(2(2(2(0(1(0(1(2(1(1(1(0(2(0(z0)))))))))))))))))), 1'(2(0(2(2(2(0(1(0(1(2(1(1(1(0(2(0(z0))))))))))))))))), 0'(2(2(2(0(1(0(1(2(1(1(1(0(2(0(z0))))))))))))))), 0'(1(0(1(2(1(1(1(0(2(0(z0))))))))))), 1'(0(1(2(1(1(1(0(2(0(z0)))))))))), 0'(1(2(1(1(1(0(2(0(z0))))))))), 1'(2(1(1(1(0(2(0(z0)))))))), 1'(1(1(0(2(0(z0)))))), 1'(1(0(2(0(z0))))), 1'(0(2(0(z0)))), 0'(2(0(z0))), 0'(z0))
   1'(2(2(c_0(2(c_0(2(c_1(2(c_1(2(c_1(c_0(c_0(c_1(c_0(c_0(2(c_0(c_1(z0)))))))))))))))))))) -> c106(1'(0(1(2(0(1(0(0(1(0(0(0(2(1(0(0(1(0(0(2(z0)))))))))))))))))))), 0'(1(2(0(1(0(0(1(0(0(0(2(1(0(0(1(0(0(2(z0))))))))))))))))))), 1'(2(0(1(0(0(1(0(0(0(2(1(0(0(1(0(0(2(z0)))))))))))))))))), 0'(1(0(0(1(0(0(0(2(1(0(0(1(0(0(2(z0)))))))))))))))), 1'(0(0(1(0(0(0(2(1(0(0(1(0(0(2(z0))))))))))))))), 0'(0(1(0(0(0(2(1(0(0(1(0(0(2(z0)))))))))))))), 0'(1(0(0(0(2(1(0(0(1(0(0(2(z0))))))))))))), 1'(0(0(0(2(1(0(0(1(0(0(2(z0)))))))))))), 0'(0(0(2(1(0(0(1(0(0(2(z0))))))))))), 0'(0(2(1(0(0(1(0(0(2(z0)))))))))), 0'(2(1(0(0(1(0(0(2(z0))))))))), 1'(0(0(1(0(0(2(z0))))))), 0'(0(1(0(0(2(z0)))))), 0'(1(0(0(2(z0))))), 1'(0(0(2(z0)))), 0'(0(2(z0))), 0'(2(z0)))
   0'(2(c_1(c_1(c_1(c_0(2(c_1(c_1(c_0(c_1(c_0(2(2(c_0(c_0(2(c_0(2(c_1(z0)))))))))))))))))))) -> c9(0'(1(0(1(2(2(2(1(1(0(2(2(1(2(0(0(0(0(2(1(z0)))))))))))))))))))), 1'(0(1(2(2(2(1(1(0(2(2(1(2(0(0(0(0(2(1(z0))))))))))))))))))), 0'(1(2(2(2(1(1(0(2(2(1(2(0(0(0(0(2(1(z0)))))))))))))))))), 1'(1(0(2(2(1(2(0(0(0(0(2(1(z0))))))))))))), 1'(0(2(2(1(2(0(0(0(0(2(1(z0)))))))))))), 0'(2(2(1(2(0(0(0(0(2(1(z0))))))))))), 1'(2(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))), 1'(z0))
   0'(c_0(2(c_0(2(c_1(c_1(2(c_1(c_1(c_1(c_1(c_1(c_0(c_1(c_1(c_1(2(2(c_1(z0)))))))))))))))))))) -> c21(0'(2(0(0(2(1(1(2(2(0(2(0(1(2(2(2(1(1(1(2(z0)))))))))))))))))))), 0'(0(2(1(1(2(2(0(2(0(1(2(2(2(1(1(1(2(z0)))))))))))))))))), 0'(2(1(1(2(2(0(2(0(1(2(2(2(1(1(1(2(z0))))))))))))))))), 1'(1(2(2(0(2(0(1(2(2(2(1(1(1(2(z0))))))))))))))), 1'(2(2(0(2(0(1(2(2(2(1(1(1(2(z0)))))))))))))), 0'(2(0(1(2(2(2(1(1(1(2(z0))))))))))), 0'(1(2(2(2(1(1(1(2(z0))))))))), 1'(1(1(2(z0)))), 1'(1(2(z0))), 1'(2(z0)))
   0'(2(c_0(c_1(c_1(c_1(c_0(c_1(2(2(c_0(2(c_0(2(c_0(2(c_1(2(c_0(c_1(z0)))))))))))))))))))) -> c22(0'(2(2(0(1(2(2(2(2(1(0(2(1(2(0(0(2(2(2(1(z0)))))))))))))))))))), 0'(1(2(2(2(2(1(0(2(1(2(0(0(2(2(2(1(z0))))))))))))))))), 1'(0(2(1(2(0(0(2(2(2(1(z0))))))))))), 0'(2(1(2(0(0(2(2(2(1(z0)))))))))), 1'(2(0(0(2(2(2(1(z0)))))))), 0'(0(2(2(2(1(z0)))))), 0'(2(2(2(1(z0))))), 1'(z0))
   0'(2(c_0(2(c_1(c_0(c_0(c_1(2(c_0(2(c_0(c_1(c_0(c_1(c_1(c_1(2(2(c_1(z0)))))))))))))))))))) -> c31(0'(0(1(0(1(0(1(1(2(1(0(0(0(1(2(2(2(0(1(0(z0)))))))))))))))))))), 0'(1(0(1(0(1(1(2(1(0(0(0(1(2(2(2(0(1(0(z0))))))))))))))))))), 1'(0(1(0(1(1(2(1(0(0(0(1(2(2(2(0(1(0(z0)))))))))))))))))), 0'(1(0(1(1(2(1(0(0(0(1(2(2(2(0(1(0(z0))))))))))))))))), 1'(0(1(1(2(1(0(0(0(1(2(2(2(0(1(0(z0)))))))))))))))), 0'(1(1(2(1(0(0(0(1(2(2(2(0(1(0(z0))))))))))))))), 1'(1(2(1(0(0(0(1(2(2(2(0(1(0(z0)))))))))))))), 1'(2(1(0(0(0(1(2(2(2(0(1(0(z0))))))))))))), 1'(0(0(0(1(2(2(2(0(1(0(z0))))))))))), 0'(0(0(1(2(2(2(0(1(0(z0)))))))))), 0'(0(1(2(2(2(0(1(0(z0))))))))), 0'(1(2(2(2(0(1(0(z0)))))))), 0'(1(0(z0))), 1'(0(z0)), 0'(z0))
   0'(c_1(c_1(2(c_0(c_1(c_0(c_0(c_1(2(c_0(2(c_1(c_0(c_0(c_0(c_0(2(c_0(c_1(z0)))))))))))))))))))) -> c40(0'(0(2(1(2(2(2(1(2(1(0(0(0(2(2(1(0(1(2(0(z0)))))))))))))))))))), 0'(2(1(2(2(2(1(2(1(0(0(0(2(2(1(0(1(2(0(z0))))))))))))))))))), 1'(2(1(0(0(0(2(2(1(0(1(2(0(z0))))))))))))), 1'(0(0(0(2(2(1(0(1(2(0(z0))))))))))), 0'(0(0(2(2(1(0(1(2(0(z0)))))))))), 0'(0(2(2(1(0(1(2(0(z0))))))))), 0'(2(2(1(0(1(2(0(z0)))))))), 1'(0(1(2(0(z0))))), 0'(1(2(0(z0)))), 1'(2(0(z0))), 0'(z0))
   0'(c_1(c_0(2(2(2(c_1(2(c_1(c_1(c_1(2(c_1(c_0(2(c_1(c_1(c_1(c_0(c_1(z0)))))))))))))))))))) -> c61(0'(0(1(2(2(2(1(0(0(1(1(2(1(1(2(0(0(1(2(0(z0)))))))))))))))))))), 0'(1(2(2(2(1(0(0(1(1(2(1(1(2(0(0(1(2(0(z0))))))))))))))))))), 1'(0(0(1(1(2(1(1(2(0(0(1(2(0(z0)))))))))))))), 0'(0(1(1(2(1(1(2(0(0(1(2(0(z0))))))))))))), 0'(1(1(2(1(1(2(0(0(1(2(0(z0)))))))))))), 1'(1(2(1(1(2(0(0(1(2(0(z0))))))))))), 1'(2(1(1(2(0(0(1(2(0(z0)))))))))), 1'(1(2(0(0(1(2(0(z0)))))))), 1'(2(0(0(1(2(0(z0))))))), 0'(0(1(2(0(z0))))), 0'(1(2(0(z0)))), 1'(2(0(z0))), 0'(z0))
   0'(c_1(c_1(c_0(2(c_1(c_1(c_0(c_0(c_1(c_1(c_1(2(2(2(c_0(2(c_0(c_0(2(z0)))))))))))))))))))) -> c63(0'(1(2(1(0(2(1(0(1(2(2(2(0(0(2(0(2(2(1(2(z0)))))))))))))))))))), 1'(2(1(0(2(1(0(1(2(2(2(0(0(2(0(2(2(1(2(z0))))))))))))))))))), 1'(0(2(1(0(1(2(2(2(0(0(2(0(2(2(1(2(z0))))))))))))))))), 0'(2(1(0(1(2(2(2(0(0(2(0(2(2(1(2(z0)))))))))))))))), 1'(0(1(2(2(2(0(0(2(0(2(2(1(2(z0)))))))))))))), 0'(1(2(2(2(0(0(2(0(2(2(1(2(z0))))))))))))), 0'(0(2(0(2(2(1(2(z0)))))))), 0'(2(0(2(2(1(2(z0))))))), 0'(2(2(1(2(z0))))), 1'(2(z0)))
   0'(c_1(c_1(c_1(c_1(2(c_0(c_0(c_0(2(2(2(2(c_1(c_0(2(2(2(c_0(c_1(z0)))))))))))))))))))) -> c65(0'(2(0(0(0(1(2(0(1(2(2(2(1(2(1(1(1(2(1(2(z0)))))))))))))))))))), 0'(0(0(1(2(0(1(2(2(2(1(2(1(1(1(2(1(2(z0)))))))))))))))))), 0'(0(1(2(0(1(2(2(2(1(2(1(1(1(2(1(2(z0))))))))))))))))), 0'(1(2(0(1(2(2(2(1(2(1(1(1(2(1(2(z0)))))))))))))))), 1'(2(0(1(2(2(2(1(2(1(1(1(2(1(2(z0))))))))))))))), 0'(1(2(2(2(1(2(1(1(1(2(1(2(z0))))))))))))), 1'(2(1(1(1(2(1(2(z0)))))))), 1'(1(1(2(1(2(z0)))))), 1'(1(2(1(2(z0))))), 1'(2(1(2(z0)))), 1'(2(z0)))
   0'(2(c_1(c_1(c_1(c_0(c_0(c_1(2(c_1(2(c_1(c_1(2(c_0(2(c_1(c_0(c_1(2(z0)))))))))))))))))))) -> c74(0'(1(0(1(0(2(0(0(0(1(1(1(2(0(0(0(1(2(2(2(z0)))))))))))))))))))), 1'(0(1(0(2(0(0(0(1(1(1(2(0(0(0(1(2(2(2(z0))))))))))))))))))), 0'(1(0(2(0(0(0(1(1(1(2(0(0(0(1(2(2(2(z0)))))))))))))))))), 1'(0(2(0(0(0(1(1(1(2(0(0(0(1(2(2(2(z0))))))))))))))))), 0'(2(0(0(0(1(1(1(2(0(0(0(1(2(2(2(z0)))))))))))))))), 0'(0(0(1(1(1(2(0(0(0(1(2(2(2(z0)))))))))))))), 0'(0(1(1(1(2(0(0(0(1(2(2(2(z0))))))))))))), 0'(1(1(1(2(0(0(0(1(2(2(2(z0)))))))))))), 1'(1(1(2(0(0(0(1(2(2(2(z0))))))))))), 1'(1(2(0(0(0(1(2(2(2(z0)))))))))), 1'(2(0(0(0(1(2(2(2(z0))))))))), 0'(0(0(1(2(2(2(z0))))))), 0'(0(1(2(2(2(z0)))))), 0'(1(2(2(2(z0))))))
   0'(2(2(c_1(c_1(c_1(c_1(c_0(c_0(c_1(c_0(c_1(c_0(2(2(c_1(c_1(2(2(c_1(z0)))))))))))))))))))) -> c75(0'(2(2(2(0(2(2(1(1(2(2(2(2(0(2(0(0(2(0(2(z0)))))))))))))))))))), 0'(2(2(1(1(2(2(2(2(0(2(0(0(2(0(2(z0)))))))))))))))), 1'(1(2(2(2(2(0(2(0(0(2(0(2(z0))))))))))))), 0'(2(0(0(2(0(2(z0))))))), 0'(0(2(0(2(z0))))), 0'(2(0(2(z0)))), 0'(2(z0)))
   0'(c_1(c_0(c_1(c_1(2(2(c_0(c_0(c_0(2(2(2(c_1(c_1(c_0(c_1(c_1(c_1(c_1(z0)))))))))))))))))))) -> c81(0'(0(2(2(2(2(2(2(1(1(0(1(2(2(0(1(2(0(2(1(z0)))))))))))))))))))), 1'(1(0(1(2(2(0(1(2(0(2(1(z0)))))))))))), 1'(0(1(2(2(0(1(2(0(2(1(z0))))))))))), 0'(1(2(2(0(1(2(0(2(1(z0)))))))))), 1'(2(2(0(1(2(0(2(1(z0))))))))), 0'(1(2(0(2(1(z0)))))), 1'(2(0(2(1(z0))))), 0'(2(1(z0))), 1'(z0))
   0'(c_0(c_1(c_1(c_0(2(2(c_1(c_1(c_1(c_1(c_1(2(c_0(2(c_1(c_0(2(2(c_1(z0)))))))))))))))))))) -> c82(0'(2(0(1(1(0(1(2(2(2(0(0(2(2(2(0(2(0(0(0(z0)))))))))))))))))))), 0'(1(1(0(1(2(2(2(0(0(2(2(2(0(2(0(0(0(z0)))))))))))))))))), 1'(1(0(1(2(2(2(0(0(2(2(2(0(2(0(0(0(z0))))))))))))))))), 1'(0(1(2(2(2(0(0(2(2(2(0(2(0(0(0(z0)))))))))))))))), 0'(1(2(2(2(0(0(2(2(2(0(2(0(0(0(z0))))))))))))))), 0'(0(2(2(2(0(2(0(0(0(z0)))))))))), 0'(2(2(2(0(2(0(0(0(z0))))))))), 0'(2(0(0(0(z0))))), 0'(0(0(z0))), 0'(0(z0)), 0'(z0))
   0'(c_1(c_1(c_0(c_1(c_1(c_1(c_1(2(c_0(2(c_0(2(2(2(c_0(c_0(c_0(2(c_1(z0)))))))))))))))))))) -> c86(0'(1(0(1(2(2(2(0(2(2(1(1(2(2(2(0(0(0(1(0(z0)))))))))))))))))))), 1'(0(1(2(2(2(0(2(2(1(1(2(2(2(0(0(0(1(0(z0))))))))))))))))))), 0'(1(2(2(2(0(2(2(1(1(2(2(2(0(0(0(1(0(z0)))))))))))))))))), 0'(2(2(1(1(2(2(2(0(0(0(1(0(z0))))))))))))), 1'(1(2(2(2(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_1(c_0(c_1(2(2(2(c_1(c_1(2(c_1(2(c_1(c_0(2(c_0(c_1(2(c_0(z0)))))))))))))))))))) -> c87(0'(2(0(1(1(2(2(2(1(0(0(2(1(0(0(0(0(2(0(2(z0)))))))))))))))))))), 0'(1(1(2(2(2(1(0(0(2(1(0(0(0(0(2(0(2(z0)))))))))))))))))), 1'(1(2(2(2(1(0(0(2(1(0(0(0(0(2(0(2(z0))))))))))))))))), 1'(0(0(2(1(0(0(0(0(2(0(2(z0)))))))))))), 0'(0(2(1(0(0(0(0(2(0(2(z0))))))))))), 0'(2(1(0(0(0(0(2(0(2(z0)))))))))), 1'(0(0(0(0(2(0(2(z0)))))))), 0'(0(0(0(2(0(2(z0))))))), 0'(0(0(2(0(2(z0)))))), 0'(0(2(0(2(z0))))), 0'(2(0(2(z0)))), 0'(2(z0)))
   0'(c_1(c_1(2(c_0(2(c_0(2(2(c_1(c_1(2(c_0(c_1(2(2(c_0(c_1(c_0(c_0(z0)))))))))))))))))))) -> c91(0'(1(2(0(0(0(2(1(2(0(1(2(2(2(2(0(1(1(0(1(z0)))))))))))))))))))), 1'(2(0(0(0(2(1(2(0(1(2(2(2(2(0(1(1(0(1(z0))))))))))))))))))), 0'(0(0(2(1(2(0(1(2(2(2(2(0(1(1(0(1(z0))))))))))))))))), 0'(0(2(1(2(0(1(2(2(2(2(0(1(1(0(1(z0)))))))))))))))), 0'(2(1(2(0(1(2(2(2(2(0(1(1(0(1(z0))))))))))))))), 1'(2(0(1(2(2(2(2(0(1(1(0(1(z0))))))))))))), 0'(1(2(2(2(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))
   0'(2(c_1(c_1(2(c_0(2(2(2(c_0(c_1(2(c_0(2(c_0(2(2(c_0(c_0(c_1(z0)))))))))))))))))))) -> c92(0'(0(2(1(2(0(0(0(2(0(1(2(2(2(1(0(1(1(1(0(z0)))))))))))))))))))), 0'(2(1(2(0(0(0(2(0(1(2(2(2(1(0(1(1(1(0(z0))))))))))))))))))), 1'(2(0(0(0(2(0(1(2(2(2(1(0(1(1(1(0(z0))))))))))))))))), 0'(0(0(2(0(1(2(2(2(1(0(1(1(1(0(z0))))))))))))))), 0'(0(2(0(1(2(2(2(1(0(1(1(1(0(z0)))))))))))))), 0'(2(0(1(2(2(2(1(0(1(1(1(0(z0))))))))))))), 0'(1(2(2(2(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))
   0'(c_1(2(c_1(c_0(c_1(2(2(c_1(c_1(c_0(c_0(c_1(c_1(2(2(c_1(c_0(c_1(c_1(z0)))))))))))))))))))) -> c96(0'(2(2(2(0(2(0(2(0(1(2(1(2(2(2(1(0(0(1(0(z0)))))))))))))))))))), 0'(2(0(2(0(1(2(1(2(2(2(1(0(0(1(0(z0)))))))))))))))), 0'(2(0(1(2(1(2(2(2(1(0(0(1(0(z0)))))))))))))), 0'(1(2(1(2(2(2(1(0(0(1(0(z0)))))))))))), 1'(2(1(2(2(2(1(0(0(1(0(z0))))))))))), 1'(0(0(1(0(z0))))), 0'(0(1(0(z0)))), 0'(1(0(z0))), 1'(0(z0)), 0'(z0))
   0'(2(2(c_1(c_1(2(2(c_1(c_0(2(c_1(2(c_1(c_1(2(2(2(c_0(2(c_0(z0)))))))))))))))))))) -> c97(0'(2(1(2(2(2(1(0(0(1(0(0(0(1(2(1(1(2(2(1(z0)))))))))))))))))))), 1'(0(0(1(0(0(0(1(2(1(1(2(2(1(z0)))))))))))))), 0'(0(1(0(0(0(1(2(1(1(2(2(1(z0))))))))))))), 0'(1(0(0(0(1(2(1(1(2(2(1(z0)))))))))))), 1'(0(0(0(1(2(1(1(2(2(1(z0))))))))))), 0'(0(0(1(2(1(1(2(2(1(z0)))))))))), 0'(0(1(2(1(1(2(2(1(z0))))))))), 0'(1(2(1(1(2(2(1(z0)))))))), 1'(2(1(1(2(2(1(z0))))))), 1'(1(2(2(1(z0))))), 1'(2(2(1(z0)))), 1'(z0))
   ENCODE_0(z0) -> c5(0'(encArg(z0)))
   ENCODE_0(z0) -> c5(ENCARG(z0))
   ENCODE_1(z0) -> c5(1'(encArg(z0)))
   ENCODE_1(z0) -> c5(ENCARG(z0))
S tuples:
   0'(c_0(c_1(c_0(2(2(c_1(2(c_0(c_0(c_1(c_1(2(2(2(c_1(c_1(2(c_1(c_1(z0)))))))))))))))))))) -> c7(0'(2(0(2(2(0(0(1(2(0(2(0(0(1(1(0(0(2(1(1(z0)))))))))))))))))))), 0'(2(2(0(0(1(2(0(2(0(0(1(1(0(0(2(1(1(z0)))))))))))))))))), 0'(0(1(2(0(2(0(0(1(1(0(0(2(1(1(z0))))))))))))))), 0'(1(2(0(2(0(0(1(1(0(0(2(1(1(z0)))))))))))))), 1'(2(0(2(0(0(1(1(0(0(2(1(1(z0))))))))))))), 0'(2(0(0(1(1(0(0(2(1(1(z0))))))))))), 0'(0(1(1(0(0(2(1(1(z0))))))))), 0'(1(1(0(0(2(1(1(z0)))))))), 1'(1(0(0(2(1(1(z0))))))), 1'(0(0(2(1(1(z0)))))), 0'(0(2(1(1(z0))))), 0'(2(1(1(z0)))), 1'(1(z0)), 1'(z0))
   0'(c_1(c_0(c_1(2(c_1(c_1(c_1(c_0(c_0(c_1(c_1(2(2(2(c_0(2(c_0(c_1(2(z0)))))))))))))))))))) -> c8(0'(2(1(1(2(1(0(2(0(1(1(0(2(0(1(0(2(2(0(2(z0)))))))))))))))))))), 1'(1(2(1(0(2(0(1(1(0(2(0(1(0(2(2(0(2(z0)))))))))))))))))), 1'(2(1(0(2(0(1(1(0(2(0(1(0(2(2(0(2(z0))))))))))))))))), 1'(0(2(0(1(1(0(2(0(1(0(2(2(0(2(z0))))))))))))))), 0'(2(0(1(1(0(2(0(1(0(2(2(0(2(z0)))))))))))))), 0'(1(1(0(2(0(1(0(2(2(0(2(z0)))))))))))), 1'(1(0(2(0(1(0(2(2(0(2(z0))))))))))), 1'(0(2(0(1(0(2(2(0(2(z0)))))))))), 0'(2(0(1(0(2(2(0(2(z0))))))))), 0'(1(0(2(2(0(2(z0))))))), 1'(0(2(2(0(2(z0)))))), 0'(2(2(0(2(z0))))), 0'(2(z0)))
   0'(c_1(c_0(2(2(c_1(c_1(c_0(c_1(c_0(2(2(c_1(c_0(2(c_0(c_1(c_0(c_1(c_1(z0)))))))))))))))))))) -> c10(0'(1(2(0(0(2(2(0(0(0(0(2(1(2(1(0(1(2(0(2(z0)))))))))))))))))))), 1'(2(0(0(2(2(0(0(0(0(2(1(2(1(0(1(2(0(2(z0))))))))))))))))))), 0'(0(2(2(0(0(0(0(2(1(2(1(0(1(2(0(2(z0))))))))))))))))), 0'(2(2(0(0(0(0(2(1(2(1(0(1(2(0(2(z0)))))))))))))))), 0'(0(0(0(2(1(2(1(0(1(2(0(2(z0))))))))))))), 0'(0(0(2(1(2(1(0(1(2(0(2(z0)))))))))))), 0'(0(2(1(2(1(0(1(2(0(2(z0))))))))))), 0'(2(1(2(1(0(1(2(0(2(z0)))))))))), 1'(2(1(0(1(2(0(2(z0)))))))), 1'(0(1(2(0(2(z0)))))), 0'(1(2(0(2(z0))))), 1'(2(0(2(z0)))), 0'(2(z0)))
   0'(2(c_1(2(c_0(c_1(c_1(c_1(2(c_0(c_1(c_1(2(c_1(2(c_0(2(c_0(2(c_0(z0)))))))))))))))))))) -> c11(0'(1(2(1(1(0(1(1(2(1(2(0(1(0(1(2(2(0(2(2(z0)))))))))))))))))))), 1'(2(1(1(0(1(1(2(1(2(0(1(0(1(2(2(0(2(2(z0))))))))))))))))))), 1'(1(0(1(1(2(1(2(0(1(0(1(2(2(0(2(2(z0))))))))))))))))), 1'(0(1(1(2(1(2(0(1(0(1(2(2(0(2(2(z0)))))))))))))))), 0'(1(1(2(1(2(0(1(0(1(2(2(0(2(2(z0))))))))))))))), 1'(1(2(1(2(0(1(0(1(2(2(0(2(2(z0)))))))))))))), 1'(2(1(2(0(1(0(1(2(2(0(2(2(z0))))))))))))), 1'(2(0(1(0(1(2(2(0(2(2(z0))))))))))), 0'(1(0(1(2(2(0(2(2(z0))))))))), 1'(0(1(2(2(0(2(2(z0)))))))), 0'(1(2(2(0(2(2(z0))))))), 1'(2(2(0(2(2(z0)))))), 0'(2(2(z0))))
   0'(c_0(c_1(c_0(c_0(c_1(c_1(2(c_1(c_1(2(2(c_1(c_1(2(2(c_1(c_1(c_0(2(z0)))))))))))))))))))) -> c12(0'(1(1(0(0(2(0(0(2(0(2(1(1(1(1(1(0(2(0(2(z0)))))))))))))))))))), 1'(1(0(0(2(0(0(2(0(2(1(1(1(1(1(0(2(0(2(z0))))))))))))))))))), 1'(0(0(2(0(0(2(0(2(1(1(1(1(1(0(2(0(2(z0)))))))))))))))))), 0'(0(2(0(0(2(0(2(1(1(1(1(1(0(2(0(2(z0))))))))))))))))), 0'(2(0(0(2(0(2(1(1(1(1(1(0(2(0(2(z0)))))))))))))))), 0'(0(2(0(2(1(1(1(1(1(0(2(0(2(z0)))))))))))))), 0'(2(0(2(1(1(1(1(1(0(2(0(2(z0))))))))))))), 0'(2(1(1(1(1(1(0(2(0(2(z0))))))))))), 1'(1(1(1(1(0(2(0(2(z0))))))))), 1'(1(1(1(0(2(0(2(z0)))))))), 1'(1(1(0(2(0(2(z0))))))), 1'(1(0(2(0(2(z0)))))), 1'(0(2(0(2(z0))))), 0'(2(0(2(z0)))), 0'(2(z0)))
   0'(c_1(c_1(c_0(c_1(c_0(2(c_1(c_1(2(2(c_0(2(c_0(2(c_0(2(2(c_0(c_1(z0)))))))))))))))))))) -> c13(0'(2(0(2(1(0(0(1(2(2(1(2(2(1(2(2(1(2(2(0(z0)))))))))))))))))))), 0'(2(1(0(0(1(2(2(1(2(2(1(2(2(1(2(2(0(z0)))))))))))))))))), 1'(0(0(1(2(2(1(2(2(1(2(2(1(2(2(0(z0)))))))))))))))), 0'(0(1(2(2(1(2(2(1(2(2(1(2(2(0(z0))))))))))))))), 0'(1(2(2(1(2(2(1(2(2(1(2(2(0(z0)))))))))))))), 1'(2(2(1(2(2(1(2(2(1(2(2(0(z0))))))))))))), 1'(2(2(1(2(2(1(2(2(0(z0)))))))))), 1'(2(2(1(2(2(0(z0))))))), 1'(2(2(0(z0)))), 0'(z0))
   0'(c_1(c_0(c_1(c_1(c_1(c_1(2(c_0(2(2(2(2(2(2(c_1(c_0(2(c_0(c_1(z0)))))))))))))))))))) -> c14(0'(0(0(2(2(1(0(0(1(2(1(0(2(2(1(0(0(2(2(1(z0)))))))))))))))))))), 0'(0(2(2(1(0(0(1(2(1(0(2(2(1(0(0(2(2(1(z0))))))))))))))))))), 0'(2(2(1(0(0(1(2(1(0(2(2(1(0(0(2(2(1(z0)))))))))))))))))), 1'(0(0(1(2(1(0(2(2(1(0(0(2(2(1(z0))))))))))))))), 0'(0(1(2(1(0(2(2(1(0(0(2(2(1(z0)))))))))))))), 0'(1(2(1(0(2(2(1(0(0(2(2(1(z0))))))))))))), 1'(2(1(0(2(2(1(0(0(2(2(1(z0)))))))))))), 1'(0(2(2(1(0(0(2(2(1(z0)))))))))), 0'(2(2(1(0(0(2(2(1(z0))))))))), 1'(0(0(2(2(1(z0)))))), 0'(0(2(2(1(z0))))), 0'(2(2(1(z0)))), 1'(z0))
   0'(c_0(2(2(c_0(c_0(c_1(c_0(2(2(c_1(c_1(2(2(c_1(c_0(2(2(c_0(c_1(z0)))))))))))))))))))) -> c15(0'(2(0(2(2(1(0(0(2(2(1(2(1(1(0(0(2(0(2(1(z0)))))))))))))))))))), 0'(2(2(1(0(0(2(2(1(2(1(1(0(0(2(0(2(1(z0)))))))))))))))))), 1'(0(0(2(2(1(2(1(1(0(0(2(0(2(1(z0))))))))))))))), 0'(0(2(2(1(2(1(1(0(0(2(0(2(1(z0)))))))))))))), 0'(2(2(1(2(1(1(0(0(2(0(2(1(z0))))))))))))), 1'(2(1(1(0(0(2(0(2(1(z0)))))))))), 1'(1(0(0(2(0(2(1(z0)))))))), 1'(0(0(2(0(2(1(z0))))))), 0'(0(2(0(2(1(z0)))))), 0'(2(0(2(1(z0))))), 0'(2(1(z0))), 1'(z0))
   0'(c_0(2(2(c_1(c_1(c_1(c_0(c_1(c_0(c_1(c_0(c_1(2(2(2(c_1(2(c_0(c_0(z0)))))))))))))))))))) -> c16(0'(1(0(2(0(2(2(1(0(1(0(2(1(2(1(0(1(1(1(2(z0)))))))))))))))))))), 1'(0(2(0(2(2(1(0(1(0(2(1(2(1(0(1(1(1(2(z0))))))))))))))))))), 0'(2(0(2(2(1(0(1(0(2(1(2(1(0(1(1(1(2(z0)))))))))))))))))), 0'(2(2(1(0(1(0(2(1(2(1(0(1(1(1(2(z0)))))))))))))))), 1'(0(1(0(2(1(2(1(0(1(1(1(2(z0))))))))))))), 0'(1(0(2(1(2(1(0(1(1(1(2(z0)))))))))))), 1'(0(2(1(2(1(0(1(1(1(2(z0))))))))))), 0'(2(1(2(1(0(1(1(1(2(z0)))))))))), 1'(2(1(0(1(1(1(2(z0)))))))), 1'(0(1(1(1(2(z0)))))), 0'(1(1(1(2(z0))))), 1'(1(1(2(z0)))), 1'(1(2(z0))), 1'(2(z0)))
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   0'(c_1(c_1(c_0(2(2(c_0(c_1(2(2(2(c_0(2(2(c_1(2(c_1(2(c_1(c_0(z0)))))))))))))))))))) -> c24(0'(0(2(0(0(2(0(2(1(0(2(2(2(0(0(0(2(1(1(2(z0)))))))))))))))))))), 0'(2(0(0(2(0(2(1(0(2(2(2(0(0(0(2(1(1(2(z0))))))))))))))))))), 0'(0(2(0(2(1(0(2(2(2(0(0(0(2(1(1(2(z0))))))))))))))))), 0'(2(0(2(1(0(2(2(2(0(0(0(2(1(1(2(z0)))))))))))))))), 0'(2(1(0(2(2(2(0(0(0(2(1(1(2(z0)))))))))))))), 1'(0(2(2(2(0(0(0(2(1(1(2(z0)))))))))))), 0'(2(2(2(0(0(0(2(1(1(2(z0))))))))))), 0'(0(0(2(1(1(2(z0))))))), 0'(0(2(1(1(2(z0)))))), 0'(2(1(1(2(z0))))), 1'(1(2(z0))), 1'(2(z0)))
   0'(c_1(c_0(2(c_0(c_0(c_1(2(2(2(c_1(2(2(2(c_0(c_0(c_0(c_1(2(2(z0)))))))))))))))))))) -> c25(0'(1(0(1(1(2(1(0(0(1(0(0(2(2(2(1(0(2(0(0(z0)))))))))))))))))))), 1'(0(1(1(2(1(0(0(1(0(0(2(2(2(1(0(2(0(0(z0))))))))))))))))))), 0'(1(1(2(1(0(0(1(0(0(2(2(2(1(0(2(0(0(z0)))))))))))))))))), 1'(1(2(1(0(0(1(0(0(2(2(2(1(0(2(0(0(z0))))))))))))))))), 1'(2(1(0(0(1(0(0(2(2(2(1(0(2(0(0(z0)))))))))))))))), 1'(0(0(1(0(0(2(2(2(1(0(2(0(0(z0)))))))))))))), 0'(0(1(0(0(2(2(2(1(0(2(0(0(z0))))))))))))), 0'(1(0(0(2(2(2(1(0(2(0(0(z0)))))))))))), 1'(0(0(2(2(2(1(0(2(0(0(z0))))))))))), 0'(0(2(2(2(1(0(2(0(0(z0)))))))))), 0'(2(2(2(1(0(2(0(0(z0))))))))), 1'(0(2(0(0(z0))))), 0'(2(0(0(z0)))), 0'(0(z0)), 0'(z0))
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   0'(c_0(2(c_0(c_0(c_0(2(c_1(2(2(2(c_1(c_1(c_1(c_0(2(c_1(c_1(c_0(c_0(z0)))))))))))))))))))) -> c27(0'(2(0(1(2(0(1(2(0(1(0(1(2(2(1(2(1(0(0(0(z0)))))))))))))))))))), 0'(1(2(0(1(2(0(1(0(1(2(2(1(2(1(0(0(0(z0)))))))))))))))))), 1'(2(0(1(2(0(1(0(1(2(2(1(2(1(0(0(0(z0))))))))))))))))), 0'(1(2(0(1(0(1(2(2(1(2(1(0(0(0(z0))))))))))))))), 1'(2(0(1(0(1(2(2(1(2(1(0(0(0(z0)))))))))))))), 0'(1(0(1(2(2(1(2(1(0(0(0(z0)))))))))))), 1'(0(1(2(2(1(2(1(0(0(0(z0))))))))))), 0'(1(2(2(1(2(1(0(0(0(z0)))))))))), 1'(2(2(1(2(1(0(0(0(z0))))))))), 1'(2(1(0(0(0(z0)))))), 1'(0(0(0(z0)))), 0'(0(0(z0))), 0'(0(z0)), 0'(z0))
   0'(c_1(c_0(2(c_1(c_1(c_1(c_0(2(2(c_1(c_1(c_1(c_1(2(c_0(2(c_1(c_0(c_0(z0)))))))))))))))))))) -> c28(0'(2(1(0(2(0(0(1(2(2(0(0(0(1(1(1(1(0(2(2(z0)))))))))))))))))))), 1'(0(2(0(0(1(2(2(0(0(0(1(1(1(1(0(2(2(z0)))))))))))))))))), 0'(2(0(0(1(2(2(0(0(0(1(1(1(1(0(2(2(z0))))))))))))))))), 0'(0(1(2(2(0(0(0(1(1(1(1(0(2(2(z0))))))))))))))), 0'(1(2(2(0(0(0(1(1(1(1(0(2(2(z0)))))))))))))), 1'(2(2(0(0(0(1(1(1(1(0(2(2(z0))))))))))))), 0'(0(0(1(1(1(1(0(2(2(z0)))))))))), 0'(0(1(1(1(1(0(2(2(z0))))))))), 0'(1(1(1(1(0(2(2(z0)))))))), 1'(1(1(1(0(2(2(z0))))))), 1'(1(1(0(2(2(z0)))))), 1'(1(0(2(2(z0))))), 1'(0(2(2(z0)))), 0'(2(2(z0))))
   0'(2(c_1(c_1(c_0(2(c_1(c_1(c_1(c_1(2(2(c_0(c_1(c_1(c_1(2(2(c_1(c_1(z0)))))))))))))))))))) -> c29(0'(0(2(0(0(1(0(2(2(1(0(1(1(0(0(2(0(2(2(1(z0)))))))))))))))))))), 0'(2(0(0(1(0(2(2(1(0(1(1(0(0(2(0(2(2(1(z0))))))))))))))))))), 0'(0(1(0(2(2(1(0(1(1(0(0(2(0(2(2(1(z0))))))))))))))))), 0'(1(0(2(2(1(0(1(1(0(0(2(0(2(2(1(z0)))))))))))))))), 1'(0(2(2(1(0(1(1(0(0(2(0(2(2(1(z0))))))))))))))), 0'(2(2(1(0(1(1(0(0(2(0(2(2(1(z0)))))))))))))), 1'(0(1(1(0(0(2(0(2(2(1(z0))))))))))), 0'(1(1(0(0(2(0(2(2(1(z0)))))))))), 1'(1(0(0(2(0(2(2(1(z0))))))))), 1'(0(0(2(0(2(2(1(z0)))))))), 0'(0(2(0(2(2(1(z0))))))), 0'(2(0(2(2(1(z0)))))), 0'(2(2(1(z0)))), 1'(z0))
   0'(c_0(2(2(2(c_0(c_1(c_0(c_1(c_1(c_1(c_0(c_1(c_0(c_0(c_0(c_1(c_1(2(c_0(z0)))))))))))))))))))) -> c30(0'(2(0(2(2(2(2(0(2(2(1(0(0(0(0(0(0(2(0(0(z0)))))))))))))))))))), 0'(2(2(2(2(0(2(2(1(0(0(0(0(0(0(2(0(0(z0)))))))))))))))))), 0'(2(2(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)))), 0'(0(z0)), 0'(z0))
   0'(2(c_0(2(c_1(2(c_1(2(2(c_0(2(c_1(c_1(c_1(2(c_1(c_1(c_1(c_1(c_1(z0)))))))))))))))))))) -> c32(0'(1(1(1(0(2(1(0(1(2(1(0(0(0(2(1(1(2(0(1(z0)))))))))))))))))))), 1'(1(1(0(2(1(0(1(2(1(0(0(0(2(1(1(2(0(1(z0))))))))))))))))))), 1'(1(0(2(1(0(1(2(1(0(0(0(2(1(1(2(0(1(z0)))))))))))))))))), 1'(0(2(1(0(1(2(1(0(0(0(2(1(1(2(0(1(z0))))))))))))))))), 0'(2(1(0(1(2(1(0(0(0(2(1(1(2(0(1(z0)))))))))))))))), 1'(0(1(2(1(0(0(0(2(1(1(2(0(1(z0)))))))))))))), 0'(1(2(1(0(0(0(2(1(1(2(0(1(z0))))))))))))), 1'(2(1(0(0(0(2(1(1(2(0(1(z0)))))))))))), 1'(0(0(0(2(1(1(2(0(1(z0)))))))))), 0'(0(0(2(1(1(2(0(1(z0))))))))), 0'(0(2(1(1(2(0(1(z0)))))))), 0'(2(1(1(2(0(1(z0))))))), 1'(1(2(0(1(z0))))), 1'(2(0(1(z0)))), 0'(1(z0)), 1'(z0))
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   0'(c_1(2(c_0(c_0(c_1(2(c_0(2(c_0(c_0(c_1(c_0(2(c_0(c_0(2(c_1(2(c_0(z0)))))))))))))))))))) -> c44(0'(2(1(2(0(0(0(2(0(0(2(1(2(2(0(2(2(0(0(0(z0)))))))))))))))))))), 1'(2(0(0(0(2(0(0(2(1(2(2(0(2(2(0(0(0(z0)))))))))))))))))), 0'(0(0(2(0(0(2(1(2(2(0(2(2(0(0(0(z0)))))))))))))))), 0'(0(2(0(0(2(1(2(2(0(2(2(0(0(0(z0))))))))))))))), 0'(2(0(0(2(1(2(2(0(2(2(0(0(0(z0)))))))))))))), 0'(0(2(1(2(2(0(2(2(0(0(0(z0)))))))))))), 0'(2(1(2(2(0(2(2(0(0(0(z0))))))))))), 1'(2(2(0(2(2(0(0(0(z0))))))))), 0'(2(2(0(0(0(z0)))))), 0'(0(0(z0))), 0'(0(z0)), 0'(z0))
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   0'(2(2(c_1(2(c_0(c_1(c_1(c_0(c_0(c_1(c_1(2(c_0(c_1(c_1(c_0(2(2(2(z0)))))))))))))))))))) -> c76(0'(2(2(2(0(2(0(0(2(2(0(0(2(1(1(0(0(2(1(1(z0)))))))))))))))))))), 0'(2(0(0(2(2(0(0(2(1(1(0(0(2(1(1(z0)))))))))))))))), 0'(0(2(2(0(0(2(1(1(0(0(2(1(1(z0)))))))))))))), 0'(2(2(0(0(2(1(1(0(0(2(1(1(z0))))))))))))), 0'(0(2(1(1(0(0(2(1(1(z0)))))))))), 0'(2(1(1(0(0(2(1(1(z0))))))))), 1'(1(0(0(2(1(1(z0))))))), 1'(0(0(2(1(1(z0)))))), 0'(0(2(1(1(z0))))), 0'(2(1(1(z0)))), 1'(1(z0)), 1'(z0))
   0'(2(c_0(c_0(c_1(c_0(2(c_1(c_0(2(2(c_0(c_1(c_0(2(c_1(2(c_1(c_1(2(z0)))))))))))))))))))) -> c77(0'(2(1(0(2(1(0(2(1(2(1(0(1(2(0(1(0(0(0(0(z0)))))))))))))))))))), 1'(0(2(1(0(2(1(2(1(0(1(2(0(1(0(0(0(0(z0)))))))))))))))))), 0'(2(1(0(2(1(2(1(0(1(2(0(1(0(0(0(0(z0))))))))))))))))), 1'(0(2(1(2(1(0(1(2(0(1(0(0(0(0(z0))))))))))))))), 0'(2(1(2(1(0(1(2(0(1(0(0(0(0(z0)))))))))))))), 1'(2(1(0(1(2(0(1(0(0(0(0(z0)))))))))))), 1'(0(1(2(0(1(0(0(0(0(z0)))))))))), 0'(1(2(0(1(0(0(0(0(z0))))))))), 1'(2(0(1(0(0(0(0(z0)))))))), 0'(1(0(0(0(0(z0)))))), 1'(0(0(0(0(z0))))), 0'(0(0(0(z0)))), 0'(0(0(z0))), 0'(0(z0)), 0'(z0))
   0'(2(2(c_1(c_0(c_0(c_1(c_1(2(c_0(2(2(c_0(c_1(c_1(2(2(c_1(c_0(c_0(z0)))))))))))))))))))) -> c78(0'(2(1(0(2(2(0(0(0(0(0(1(2(1(0(1(1(2(1(1(z0)))))))))))))))))))), 1'(0(2(2(0(0(0(0(0(1(2(1(0(1(1(2(1(1(z0)))))))))))))))))), 0'(2(2(0(0(0(0(0(1(2(1(0(1(1(2(1(1(z0))))))))))))))))), 0'(0(0(0(0(1(2(1(0(1(1(2(1(1(z0)))))))))))))), 0'(0(0(0(1(2(1(0(1(1(2(1(1(z0))))))))))))), 0'(0(0(1(2(1(0(1(1(2(1(1(z0)))))))))))), 0'(0(1(2(1(0(1(1(2(1(1(z0))))))))))), 0'(1(2(1(0(1(1(2(1(1(z0)))))))))), 1'(2(1(0(1(1(2(1(1(z0))))))))), 1'(0(1(1(2(1(1(z0))))))), 0'(1(1(2(1(1(z0)))))), 1'(1(2(1(1(z0))))), 1'(2(1(1(z0)))), 1'(1(z0)), 1'(z0))
   0'(c_1(2(2(2(2(2(2(2(c_1(c_0(2(2(c_1(c_1(2(c_1(2(c_1(c_1(z0)))))))))))))))))))) -> c79(0'(2(1(0(2(1(0(1(2(0(0(0(1(2(0(0(0(0(0(1(z0)))))))))))))))))))), 1'(0(2(1(0(1(2(0(0(0(1(2(0(0(0(0(0(1(z0)))))))))))))))))), 0'(2(1(0(1(2(0(0(0(1(2(0(0(0(0(0(1(z0))))))))))))))))), 1'(0(1(2(0(0(0(1(2(0(0(0(0(0(1(z0))))))))))))))), 0'(1(2(0(0(0(1(2(0(0(0(0(0(1(z0)))))))))))))), 1'(2(0(0(0(1(2(0(0(0(0(0(1(z0))))))))))))), 0'(0(0(1(2(0(0(0(0(0(1(z0))))))))))), 0'(0(1(2(0(0(0(0(0(1(z0)))))))))), 0'(1(2(0(0(0(0(0(1(z0))))))))), 1'(2(0(0(0(0(0(1(z0)))))))), 0'(0(0(0(0(1(z0)))))), 0'(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(2(c_0(2(c_1(2(c_1(2(2(c_0(2(c_1(2(2(c_1(c_1(c_0(z0)))))))))))))))))))) -> c80(0'(2(0(1(1(1(0(1(0(1(2(0(2(2(1(0(2(0(0(2(z0)))))))))))))))))))), 0'(1(1(1(0(1(0(1(2(0(2(2(1(0(2(0(0(2(z0)))))))))))))))))), 1'(1(1(0(1(0(1(2(0(2(2(1(0(2(0(0(2(z0))))))))))))))))), 1'(1(0(1(0(1(2(0(2(2(1(0(2(0(0(2(z0)))))))))))))))), 1'(0(1(0(1(2(0(2(2(1(0(2(0(0(2(z0))))))))))))))), 0'(1(0(1(2(0(2(2(1(0(2(0(0(2(z0)))))))))))))), 1'(0(1(2(0(2(2(1(0(2(0(0(2(z0))))))))))))), 0'(1(2(0(2(2(1(0(2(0(0(2(z0)))))))))))), 1'(2(0(2(2(1(0(2(0(0(2(z0))))))))))), 0'(2(2(1(0(2(0(0(2(z0))))))))), 1'(0(2(0(0(2(z0)))))), 0'(2(0(0(2(z0))))), 0'(0(2(z0))), 0'(2(z0)))
   0'(2(c_1(c_1(2(c_1(2(2(2(c_0(c_0(c_1(c_0(2(c_1(c_1(c_1(2(2(c_0(z0)))))))))))))))))))) -> c83(0'(0(0(2(1(0(1(2(1(2(1(1(1(2(0(0(0(1(1(0(z0)))))))))))))))))))), 0'(0(2(1(0(1(2(1(2(1(1(1(2(0(0(0(1(1(0(z0))))))))))))))))))), 0'(2(1(0(1(2(1(2(1(1(1(2(0(0(0(1(1(0(z0)))))))))))))))))), 1'(0(1(2(1(2(1(1(1(2(0(0(0(1(1(0(z0)))))))))))))))), 0'(1(2(1(2(1(1(1(2(0(0(0(1(1(0(z0))))))))))))))), 1'(2(1(2(1(1(1(2(0(0(0(1(1(0(z0)))))))))))))), 1'(2(1(1(1(2(0(0(0(1(1(0(z0)))))))))))), 1'(1(1(2(0(0(0(1(1(0(z0)))))))))), 1'(1(2(0(0(0(1(1(0(z0))))))))), 1'(2(0(0(0(1(1(0(z0)))))))), 0'(0(0(1(1(0(z0)))))), 0'(0(1(1(0(z0))))), 0'(1(1(0(z0)))), 1'(1(0(z0))), 1'(0(z0)), 0'(z0))
   0'(c_1(2(c_0(c_0(2(c_1(c_1(c_0(2(c_1(c_0(c_1(c_1(c_1(c_0(c_1(c_1(c_0(c_0(z0)))))))))))))))))))) -> c84(0'(0(0(2(0(1(1(2(2(0(2(0(0(2(1(0(0(2(1(1(z0)))))))))))))))))))), 0'(0(2(0(1(1(2(2(0(2(0(0(2(1(0(0(2(1(1(z0))))))))))))))))))), 0'(2(0(1(1(2(2(0(2(0(0(2(1(0(0(2(1(1(z0)))))))))))))))))), 0'(1(1(2(2(0(2(0(0(2(1(0(0(2(1(1(z0)))))))))))))))), 1'(1(2(2(0(2(0(0(2(1(0(0(2(1(1(z0))))))))))))))), 1'(2(2(0(2(0(0(2(1(0(0(2(1(1(z0)))))))))))))), 0'(2(0(0(2(1(0(0(2(1(1(z0))))))))))), 0'(0(2(1(0(0(2(1(1(z0))))))))), 0'(2(1(0(0(2(1(1(z0)))))))), 1'(0(0(2(1(1(z0)))))), 0'(0(2(1(1(z0))))), 0'(2(1(1(z0)))), 1'(1(z0)), 1'(z0))
   0'(c_0(c_1(c_0(2(2(2(2(c_1(c_0(2(c_1(c_0(2(2(c_0(c_1(c_1(2(c_1(z0)))))))))))))))))))) -> c85(0'(0(1(0(0(0(0(2(2(2(2(0(0(0(1(0(0(2(1(1(z0)))))))))))))))))))), 0'(1(0(0(0(0(2(2(2(2(0(0(0(1(0(0(2(1(1(z0))))))))))))))))))), 1'(0(0(0(0(2(2(2(2(0(0(0(1(0(0(2(1(1(z0)))))))))))))))))), 0'(0(0(0(2(2(2(2(0(0(0(1(0(0(2(1(1(z0))))))))))))))))), 0'(0(0(2(2(2(2(0(0(0(1(0(0(2(1(1(z0)))))))))))))))), 0'(0(2(2(2(2(0(0(0(1(0(0(2(1(1(z0))))))))))))))), 0'(2(2(2(2(0(0(0(1(0(0(2(1(1(z0)))))))))))))), 0'(0(0(1(0(0(2(1(1(z0))))))))), 0'(0(1(0(0(2(1(1(z0)))))))), 0'(1(0(0(2(1(1(z0))))))), 1'(0(0(2(1(1(z0)))))), 0'(0(2(1(1(z0))))), 0'(2(1(1(z0)))), 1'(1(z0)), 1'(z0))
   0'(c_0(c_0(c_1(2(c_0(2(2(c_1(c_1(c_0(c_1(c_0(c_1(2(c_0(c_1(c_1(c_1(c_1(z0)))))))))))))))))))) -> c88(0'(1(2(0(1(2(1(0(1(0(1(0(2(0(1(1(1(1(0(2(z0)))))))))))))))))))), 1'(2(0(1(2(1(0(1(0(1(0(2(0(1(1(1(1(0(2(z0))))))))))))))))))), 0'(1(2(1(0(1(0(1(0(2(0(1(1(1(1(0(2(z0))))))))))))))))), 1'(2(1(0(1(0(1(0(2(0(1(1(1(1(0(2(z0)))))))))))))))), 1'(0(1(0(1(0(2(0(1(1(1(1(0(2(z0)))))))))))))), 0'(1(0(1(0(2(0(1(1(1(1(0(2(z0))))))))))))), 1'(0(1(0(2(0(1(1(1(1(0(2(z0)))))))))))), 0'(1(0(2(0(1(1(1(1(0(2(z0))))))))))), 1'(0(2(0(1(1(1(1(0(2(z0)))))))))), 0'(2(0(1(1(1(1(0(2(z0))))))))), 0'(1(1(1(1(0(2(z0))))))), 1'(1(1(1(0(2(z0)))))), 1'(1(1(0(2(z0))))), 1'(1(0(2(z0)))), 1'(0(2(z0))), 0'(2(z0)))
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   0'(c_1(c_0(c_1(c_1(2(c_1(c_0(c_0(c_0(2(2(2(c_1(2(c_1(2(c_1(c_0(2(z0)))))))))))))))))))) -> c102(0'(1(0(0(2(2(1(2(1(0(1(0(0(0(2(0(0(2(1(2(z0)))))))))))))))))))), 1'(0(0(2(2(1(2(1(0(1(0(0(0(2(0(0(2(1(2(z0))))))))))))))))))), 0'(0(2(2(1(2(1(0(1(0(0(0(2(0(0(2(1(2(z0)))))))))))))))))), 0'(2(2(1(2(1(0(1(0(0(0(2(0(0(2(1(2(z0))))))))))))))))), 1'(2(1(0(1(0(0(0(2(0(0(2(1(2(z0)))))))))))))), 1'(0(1(0(0(0(2(0(0(2(1(2(z0)))))))))))), 0'(1(0(0(0(2(0(0(2(1(2(z0))))))))))), 1'(0(0(0(2(0(0(2(1(2(z0)))))))))), 0'(0(0(2(0(0(2(1(2(z0))))))))), 0'(0(2(0(0(2(1(2(z0)))))))), 0'(2(0(0(2(1(2(z0))))))), 0'(0(2(1(2(z0))))), 0'(2(1(2(z0)))), 1'(2(z0)))
   0'(c_0(c_1(c_0(2(c_1(2(2(2(2(c_0(c_1(2(c_0(c_1(c_1(2(2(c_0(2(z0)))))))))))))))))))) -> c103(0'(0(2(1(1(0(0(2(2(2(0(1(2(2(0(1(2(2(0(2(z0)))))))))))))))))))), 0'(2(1(1(0(0(2(2(2(0(1(2(2(0(1(2(2(0(2(z0))))))))))))))))))), 1'(1(0(0(2(2(2(0(1(2(2(0(1(2(2(0(2(z0))))))))))))))))), 1'(0(0(2(2(2(0(1(2(2(0(1(2(2(0(2(z0)))))))))))))))), 0'(0(2(2(2(0(1(2(2(0(1(2(2(0(2(z0))))))))))))))), 0'(2(2(2(0(1(2(2(0(1(2(2(0(2(z0)))))))))))))), 0'(1(2(2(0(1(2(2(0(2(z0)))))))))), 1'(2(2(0(1(2(2(0(2(z0))))))))), 0'(1(2(2(0(2(z0)))))), 1'(2(2(0(2(z0))))), 0'(2(z0)))
   0'(c_1(c_1(c_0(c_1(2(c_1(2(c_0(2(2(c_1(c_0(c_0(2(c_0(c_1(c_0(c_1(c_1(z0)))))))))))))))))))) -> c104(0'(0(0(1(2(0(2(2(2(0(1(0(1(2(1(1(1(0(2(0(z0)))))))))))))))))))), 0'(0(1(2(0(2(2(2(0(1(0(1(2(1(1(1(0(2(0(z0))))))))))))))))))), 0'(1(2(0(2(2(2(0(1(0(1(2(1(1(1(0(2(0(z0)))))))))))))))))), 1'(2(0(2(2(2(0(1(0(1(2(1(1(1(0(2(0(z0))))))))))))))))), 0'(2(2(2(0(1(0(1(2(1(1(1(0(2(0(z0))))))))))))))), 0'(1(0(1(2(1(1(1(0(2(0(z0))))))))))), 1'(0(1(2(1(1(1(0(2(0(z0)))))))))), 0'(1(2(1(1(1(0(2(0(z0))))))))), 1'(2(1(1(1(0(2(0(z0)))))))), 1'(1(1(0(2(0(z0)))))), 1'(1(0(2(0(z0))))), 1'(0(2(0(z0)))), 0'(2(0(z0))), 0'(z0))
   1'(2(2(c_0(2(c_0(2(c_1(2(c_1(2(c_1(c_0(c_0(c_1(c_0(c_0(2(c_0(c_1(z0)))))))))))))))))))) -> c106(1'(0(1(2(0(1(0(0(1(0(0(0(2(1(0(0(1(0(0(2(z0)))))))))))))))))))), 0'(1(2(0(1(0(0(1(0(0(0(2(1(0(0(1(0(0(2(z0))))))))))))))))))), 1'(2(0(1(0(0(1(0(0(0(2(1(0(0(1(0(0(2(z0)))))))))))))))))), 0'(1(0(0(1(0(0(0(2(1(0(0(1(0(0(2(z0)))))))))))))))), 1'(0(0(1(0(0(0(2(1(0(0(1(0(0(2(z0))))))))))))))), 0'(0(1(0(0(0(2(1(0(0(1(0(0(2(z0)))))))))))))), 0'(1(0(0(0(2(1(0(0(1(0(0(2(z0))))))))))))), 1'(0(0(0(2(1(0(0(1(0(0(2(z0)))))))))))), 0'(0(0(2(1(0(0(1(0(0(2(z0))))))))))), 0'(0(2(1(0(0(1(0(0(2(z0)))))))))), 0'(2(1(0(0(1(0(0(2(z0))))))))), 1'(0(0(1(0(0(2(z0))))))), 0'(0(1(0(0(2(z0)))))), 0'(1(0(0(2(z0))))), 1'(0(0(2(z0)))), 0'(0(2(z0))), 0'(2(z0)))
   0'(2(c_1(c_1(c_1(c_0(2(c_1(c_1(c_0(c_1(c_0(2(2(c_0(c_0(2(c_0(2(c_1(z0)))))))))))))))))))) -> c9(0'(1(0(1(2(2(2(1(1(0(2(2(1(2(0(0(0(0(2(1(z0)))))))))))))))))))), 1'(0(1(2(2(2(1(1(0(2(2(1(2(0(0(0(0(2(1(z0))))))))))))))))))), 0'(1(2(2(2(1(1(0(2(2(1(2(0(0(0(0(2(1(z0)))))))))))))))))), 1'(1(0(2(2(1(2(0(0(0(0(2(1(z0))))))))))))), 1'(0(2(2(1(2(0(0(0(0(2(1(z0)))))))))))), 0'(2(2(1(2(0(0(0(0(2(1(z0))))))))))), 1'(2(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))), 1'(z0))
   0'(c_0(2(c_0(2(c_1(c_1(2(c_1(c_1(c_1(c_1(c_1(c_0(c_1(c_1(c_1(2(2(c_1(z0)))))))))))))))))))) -> c21(0'(2(0(0(2(1(1(2(2(0(2(0(1(2(2(2(1(1(1(2(z0)))))))))))))))))))), 0'(0(2(1(1(2(2(0(2(0(1(2(2(2(1(1(1(2(z0)))))))))))))))))), 0'(2(1(1(2(2(0(2(0(1(2(2(2(1(1(1(2(z0))))))))))))))))), 1'(1(2(2(0(2(0(1(2(2(2(1(1(1(2(z0))))))))))))))), 1'(2(2(0(2(0(1(2(2(2(1(1(1(2(z0)))))))))))))), 0'(2(0(1(2(2(2(1(1(1(2(z0))))))))))), 0'(1(2(2(2(1(1(1(2(z0))))))))), 1'(1(1(2(z0)))), 1'(1(2(z0))), 1'(2(z0)))
   0'(2(c_0(c_1(c_1(c_1(c_0(c_1(2(2(c_0(2(c_0(2(c_0(2(c_1(2(c_0(c_1(z0)))))))))))))))))))) -> c22(0'(2(2(0(1(2(2(2(2(1(0(2(1(2(0(0(2(2(2(1(z0)))))))))))))))))))), 0'(1(2(2(2(2(1(0(2(1(2(0(0(2(2(2(1(z0))))))))))))))))), 1'(0(2(1(2(0(0(2(2(2(1(z0))))))))))), 0'(2(1(2(0(0(2(2(2(1(z0)))))))))), 1'(2(0(0(2(2(2(1(z0)))))))), 0'(0(2(2(2(1(z0)))))), 0'(2(2(2(1(z0))))), 1'(z0))
   0'(2(c_0(2(c_1(c_0(c_0(c_1(2(c_0(2(c_0(c_1(c_0(c_1(c_1(c_1(2(2(c_1(z0)))))))))))))))))))) -> c31(0'(0(1(0(1(0(1(1(2(1(0(0(0(1(2(2(2(0(1(0(z0)))))))))))))))))))), 0'(1(0(1(0(1(1(2(1(0(0(0(1(2(2(2(0(1(0(z0))))))))))))))))))), 1'(0(1(0(1(1(2(1(0(0(0(1(2(2(2(0(1(0(z0)))))))))))))))))), 0'(1(0(1(1(2(1(0(0(0(1(2(2(2(0(1(0(z0))))))))))))))))), 1'(0(1(1(2(1(0(0(0(1(2(2(2(0(1(0(z0)))))))))))))))), 0'(1(1(2(1(0(0(0(1(2(2(2(0(1(0(z0))))))))))))))), 1'(1(2(1(0(0(0(1(2(2(2(0(1(0(z0)))))))))))))), 1'(2(1(0(0(0(1(2(2(2(0(1(0(z0))))))))))))), 1'(0(0(0(1(2(2(2(0(1(0(z0))))))))))), 0'(0(0(1(2(2(2(0(1(0(z0)))))))))), 0'(0(1(2(2(2(0(1(0(z0))))))))), 0'(1(2(2(2(0(1(0(z0)))))))), 0'(1(0(z0))), 1'(0(z0)), 0'(z0))
   0'(c_1(c_1(2(c_0(c_1(c_0(c_0(c_1(2(c_0(2(c_1(c_0(c_0(c_0(c_0(2(c_0(c_1(z0)))))))))))))))))))) -> c40(0'(0(2(1(2(2(2(1(2(1(0(0(0(2(2(1(0(1(2(0(z0)))))))))))))))))))), 0'(2(1(2(2(2(1(2(1(0(0(0(2(2(1(0(1(2(0(z0))))))))))))))))))), 1'(2(1(0(0(0(2(2(1(0(1(2(0(z0))))))))))))), 1'(0(0(0(2(2(1(0(1(2(0(z0))))))))))), 0'(0(0(2(2(1(0(1(2(0(z0)))))))))), 0'(0(2(2(1(0(1(2(0(z0))))))))), 0'(2(2(1(0(1(2(0(z0)))))))), 1'(0(1(2(0(z0))))), 0'(1(2(0(z0)))), 1'(2(0(z0))), 0'(z0))
   0'(c_1(c_0(2(2(2(c_1(2(c_1(c_1(c_1(2(c_1(c_0(2(c_1(c_1(c_1(c_0(c_1(z0)))))))))))))))))))) -> c61(0'(0(1(2(2(2(1(0(0(1(1(2(1(1(2(0(0(1(2(0(z0)))))))))))))))))))), 0'(1(2(2(2(1(0(0(1(1(2(1(1(2(0(0(1(2(0(z0))))))))))))))))))), 1'(0(0(1(1(2(1(1(2(0(0(1(2(0(z0)))))))))))))), 0'(0(1(1(2(1(1(2(0(0(1(2(0(z0))))))))))))), 0'(1(1(2(1(1(2(0(0(1(2(0(z0)))))))))))), 1'(1(2(1(1(2(0(0(1(2(0(z0))))))))))), 1'(2(1(1(2(0(0(1(2(0(z0)))))))))), 1'(1(2(0(0(1(2(0(z0)))))))), 1'(2(0(0(1(2(0(z0))))))), 0'(0(1(2(0(z0))))), 0'(1(2(0(z0)))), 1'(2(0(z0))), 0'(z0))
   0'(c_1(c_1(c_0(2(c_1(c_1(c_0(c_0(c_1(c_1(c_1(2(2(2(c_0(2(c_0(c_0(2(z0)))))))))))))))))))) -> c63(0'(1(2(1(0(2(1(0(1(2(2(2(0(0(2(0(2(2(1(2(z0)))))))))))))))))))), 1'(2(1(0(2(1(0(1(2(2(2(0(0(2(0(2(2(1(2(z0))))))))))))))))))), 1'(0(2(1(0(1(2(2(2(0(0(2(0(2(2(1(2(z0))))))))))))))))), 0'(2(1(0(1(2(2(2(0(0(2(0(2(2(1(2(z0)))))))))))))))), 1'(0(1(2(2(2(0(0(2(0(2(2(1(2(z0)))))))))))))), 0'(1(2(2(2(0(0(2(0(2(2(1(2(z0))))))))))))), 0'(0(2(0(2(2(1(2(z0)))))))), 0'(2(0(2(2(1(2(z0))))))), 0'(2(2(1(2(z0))))), 1'(2(z0)))
   0'(c_1(c_1(c_1(c_1(2(c_0(c_0(c_0(2(2(2(2(c_1(c_0(2(2(2(c_0(c_1(z0)))))))))))))))))))) -> c65(0'(2(0(0(0(1(2(0(1(2(2(2(1(2(1(1(1(2(1(2(z0)))))))))))))))))))), 0'(0(0(1(2(0(1(2(2(2(1(2(1(1(1(2(1(2(z0)))))))))))))))))), 0'(0(1(2(0(1(2(2(2(1(2(1(1(1(2(1(2(z0))))))))))))))))), 0'(1(2(0(1(2(2(2(1(2(1(1(1(2(1(2(z0)))))))))))))))), 1'(2(0(1(2(2(2(1(2(1(1(1(2(1(2(z0))))))))))))))), 0'(1(2(2(2(1(2(1(1(1(2(1(2(z0))))))))))))), 1'(2(1(1(1(2(1(2(z0)))))))), 1'(1(1(2(1(2(z0)))))), 1'(1(2(1(2(z0))))), 1'(2(1(2(z0)))), 1'(2(z0)))
   0'(2(c_1(c_1(c_1(c_0(c_0(c_1(2(c_1(2(c_1(c_1(2(c_0(2(c_1(c_0(c_1(2(z0)))))))))))))))))))) -> c74(0'(1(0(1(0(2(0(0(0(1(1(1(2(0(0(0(1(2(2(2(z0)))))))))))))))))))), 1'(0(1(0(2(0(0(0(1(1(1(2(0(0(0(1(2(2(2(z0))))))))))))))))))), 0'(1(0(2(0(0(0(1(1(1(2(0(0(0(1(2(2(2(z0)))))))))))))))))), 1'(0(2(0(0(0(1(1(1(2(0(0(0(1(2(2(2(z0))))))))))))))))), 0'(2(0(0(0(1(1(1(2(0(0(0(1(2(2(2(z0)))))))))))))))), 0'(0(0(1(1(1(2(0(0(0(1(2(2(2(z0)))))))))))))), 0'(0(1(1(1(2(0(0(0(1(2(2(2(z0))))))))))))), 0'(1(1(1(2(0(0(0(1(2(2(2(z0)))))))))))), 1'(1(1(2(0(0(0(1(2(2(2(z0))))))))))), 1'(1(2(0(0(0(1(2(2(2(z0)))))))))), 1'(2(0(0(0(1(2(2(2(z0))))))))), 0'(0(0(1(2(2(2(z0))))))), 0'(0(1(2(2(2(z0)))))), 0'(1(2(2(2(z0))))))
   0'(2(2(c_1(c_1(c_1(c_1(c_0(c_0(c_1(c_0(c_1(c_0(2(2(c_1(c_1(2(2(c_1(z0)))))))))))))))))))) -> c75(0'(2(2(2(0(2(2(1(1(2(2(2(2(0(2(0(0(2(0(2(z0)))))))))))))))))))), 0'(2(2(1(1(2(2(2(2(0(2(0(0(2(0(2(z0)))))))))))))))), 1'(1(2(2(2(2(0(2(0(0(2(0(2(z0))))))))))))), 0'(2(0(0(2(0(2(z0))))))), 0'(0(2(0(2(z0))))), 0'(2(0(2(z0)))), 0'(2(z0)))
   0'(c_1(c_0(c_1(c_1(2(2(c_0(c_0(c_0(2(2(2(c_1(c_1(c_0(c_1(c_1(c_1(c_1(z0)))))))))))))))))))) -> c81(0'(0(2(2(2(2(2(2(1(1(0(1(2(2(0(1(2(0(2(1(z0)))))))))))))))))))), 1'(1(0(1(2(2(0(1(2(0(2(1(z0)))))))))))), 1'(0(1(2(2(0(1(2(0(2(1(z0))))))))))), 0'(1(2(2(0(1(2(0(2(1(z0)))))))))), 1'(2(2(0(1(2(0(2(1(z0))))))))), 0'(1(2(0(2(1(z0)))))), 1'(2(0(2(1(z0))))), 0'(2(1(z0))), 1'(z0))
   0'(c_0(c_1(c_1(c_0(2(2(c_1(c_1(c_1(c_1(c_1(2(c_0(2(c_1(c_0(2(2(c_1(z0)))))))))))))))))))) -> c82(0'(2(0(1(1(0(1(2(2(2(0(0(2(2(2(0(2(0(0(0(z0)))))))))))))))))))), 0'(1(1(0(1(2(2(2(0(0(2(2(2(0(2(0(0(0(z0)))))))))))))))))), 1'(1(0(1(2(2(2(0(0(2(2(2(0(2(0(0(0(z0))))))))))))))))), 1'(0(1(2(2(2(0(0(2(2(2(0(2(0(0(0(z0)))))))))))))))), 0'(1(2(2(2(0(0(2(2(2(0(2(0(0(0(z0))))))))))))))), 0'(0(2(2(2(0(2(0(0(0(z0)))))))))), 0'(2(2(2(0(2(0(0(0(z0))))))))), 0'(2(0(0(0(z0))))), 0'(0(0(z0))), 0'(0(z0)), 0'(z0))
   0'(c_1(c_1(c_0(c_1(c_1(c_1(c_1(2(c_0(2(c_0(2(2(2(c_0(c_0(c_0(2(c_1(z0)))))))))))))))))))) -> c86(0'(1(0(1(2(2(2(0(2(2(1(1(2(2(2(0(0(0(1(0(z0)))))))))))))))))))), 1'(0(1(2(2(2(0(2(2(1(1(2(2(2(0(0(0(1(0(z0))))))))))))))))))), 0'(1(2(2(2(0(2(2(1(1(2(2(2(0(0(0(1(0(z0)))))))))))))))))), 0'(2(2(1(1(2(2(2(0(0(0(1(0(z0))))))))))))), 1'(1(2(2(2(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_1(c_0(c_1(2(2(2(c_1(c_1(2(c_1(2(c_1(c_0(2(c_0(c_1(2(c_0(z0)))))))))))))))))))) -> c87(0'(2(0(1(1(2(2(2(1(0(0(2(1(0(0(0(0(2(0(2(z0)))))))))))))))))))), 0'(1(1(2(2(2(1(0(0(2(1(0(0(0(0(2(0(2(z0)))))))))))))))))), 1'(1(2(2(2(1(0(0(2(1(0(0(0(0(2(0(2(z0))))))))))))))))), 1'(0(0(2(1(0(0(0(0(2(0(2(z0)))))))))))), 0'(0(2(1(0(0(0(0(2(0(2(z0))))))))))), 0'(2(1(0(0(0(0(2(0(2(z0)))))))))), 1'(0(0(0(0(2(0(2(z0)))))))), 0'(0(0(0(2(0(2(z0))))))), 0'(0(0(2(0(2(z0)))))), 0'(0(2(0(2(z0))))), 0'(2(0(2(z0)))), 0'(2(z0)))
   0'(c_1(c_1(2(c_0(2(c_0(2(2(c_1(c_1(2(c_0(c_1(2(2(c_0(c_1(c_0(c_0(z0)))))))))))))))))))) -> c91(0'(1(2(0(0(0(2(1(2(0(1(2(2(2(2(0(1(1(0(1(z0)))))))))))))))))))), 1'(2(0(0(0(2(1(2(0(1(2(2(2(2(0(1(1(0(1(z0))))))))))))))))))), 0'(0(0(2(1(2(0(1(2(2(2(2(0(1(1(0(1(z0))))))))))))))))), 0'(0(2(1(2(0(1(2(2(2(2(0(1(1(0(1(z0)))))))))))))))), 0'(2(1(2(0(1(2(2(2(2(0(1(1(0(1(z0))))))))))))))), 1'(2(0(1(2(2(2(2(0(1(1(0(1(z0))))))))))))), 0'(1(2(2(2(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))
   0'(2(c_1(c_1(2(c_0(2(2(2(c_0(c_1(2(c_0(2(c_0(2(2(c_0(c_0(c_1(z0)))))))))))))))))))) -> c92(0'(0(2(1(2(0(0(0(2(0(1(2(2(2(1(0(1(1(1(0(z0)))))))))))))))))))), 0'(2(1(2(0(0(0(2(0(1(2(2(2(1(0(1(1(1(0(z0))))))))))))))))))), 1'(2(0(0(0(2(0(1(2(2(2(1(0(1(1(1(0(z0))))))))))))))))), 0'(0(0(2(0(1(2(2(2(1(0(1(1(1(0(z0))))))))))))))), 0'(0(2(0(1(2(2(2(1(0(1(1(1(0(z0)))))))))))))), 0'(2(0(1(2(2(2(1(0(1(1(1(0(z0))))))))))))), 0'(1(2(2(2(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))
   0'(c_1(2(c_1(c_0(c_1(2(2(c_1(c_1(c_0(c_0(c_1(c_1(2(2(c_1(c_0(c_1(c_1(z0)))))))))))))))))))) -> c96(0'(2(2(2(0(2(0(2(0(1(2(1(2(2(2(1(0(0(1(0(z0)))))))))))))))))))), 0'(2(0(2(0(1(2(1(2(2(2(1(0(0(1(0(z0)))))))))))))))), 0'(2(0(1(2(1(2(2(2(1(0(0(1(0(z0)))))))))))))), 0'(1(2(1(2(2(2(1(0(0(1(0(z0)))))))))))), 1'(2(1(2(2(2(1(0(0(1(0(z0))))))))))), 1'(0(0(1(0(z0))))), 0'(0(1(0(z0)))), 0'(1(0(z0))), 1'(0(z0)), 0'(z0))
   0'(2(2(c_1(c_1(2(2(c_1(c_0(2(c_1(2(c_1(c_1(2(2(2(c_0(2(c_0(z0)))))))))))))))))))) -> c97(0'(2(1(2(2(2(1(0(0(1(0(0(0(1(2(1(1(2(2(1(z0)))))))))))))))))))), 1'(0(0(1(0(0(0(1(2(1(1(2(2(1(z0)))))))))))))), 0'(0(1(0(0(0(1(2(1(1(2(2(1(z0))))))))))))), 0'(1(0(0(0(1(2(1(1(2(2(1(z0)))))))))))), 1'(0(0(0(1(2(1(1(2(2(1(z0))))))))))), 0'(0(0(1(2(1(1(2(2(1(z0)))))))))), 0'(0(1(2(1(1(2(2(1(z0))))))))), 0'(1(2(1(1(2(2(1(z0)))))))), 1'(2(1(1(2(2(1(z0))))))), 1'(1(2(2(1(z0))))), 1'(2(2(1(z0)))), 1'(z0))
K tuples:none
Defined Rule Symbols:   0_1, 1_1, encArg_1, encode_0_1, encode_1_1, encode_2_1

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

Compound Symbols:   c_1, c1_2, c2_2, c7_14, c8_13, c10_13, c11_13, c12_15, c13_10, c14_13, c15_12, c16_14, c17_13, c18_13, c19_16, c20_13, c23_16, c24_12, c25_15, c26_14, c27_14, c28_14, c29_14, c30_12, c32_16, c33_14, c34_15, c35_11, c36_16, c37_16, c38_13, c39_15, c41_16, c42_11, c43_16, c44_12, c45_16, c46_15, c47_18, c48_10, c49_14, c50_13, c51_15, c52_15, c53_14, c54_15, c55_15, c56_13, c57_9, c58_11, c59_14, c60_13, c62_16, c64_15, c66_16, c67_14, c68_15, c69_14, c70_13, c71_13, c72_16, c73_15, c76_12, c77_15, c78_15, c79_16, c80_14, c83_16, c84_14, c85_15, c88_16, c89_12, c90_13, c93_14, c94_12, c95_11, c98_13, c99_15, c100_13, c101_17, c102_14, c103_11, c104_14, c106_17, c9_12, c21_10, c22_8, c31_15, c40_11, c61_13, c63_10, c65_11, c74_14, c75_7, c81_9, c82_11, c86_10, c87_12, c91_12, c92_13, c96_10, c97_12, c5_1


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

(45) CdtLeafRemovalProof (ComplexityIfPolyImplication)
Removed 2 leading nodes:
   ENCODE_0(z0) -> c5(ENCARG(z0))
   ENCODE_1(z0) -> c5(ENCARG(z0))

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

(46)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(2(z0)) -> 2(encArg(z0))
   encArg(cons_0(z0)) -> 0(encArg(z0))
   encArg(cons_1(z0)) -> 1(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_0(c_1(c_0(2(2(c_1(2(c_0(c_0(c_1(c_1(2(2(2(c_1(c_1(2(c_1(c_1(z0)))))))))))))))))))) -> 0(2(0(2(2(0(0(1(2(0(2(0(0(1(1(0(0(2(1(1(z0))))))))))))))))))))
   0(c_1(c_0(c_1(2(c_1(c_1(c_1(c_0(c_0(c_1(c_1(2(2(2(c_0(2(c_0(c_1(2(z0)))))))))))))))))))) -> 0(2(1(1(2(1(0(2(0(1(1(0(2(0(1(0(2(2(0(2(z0))))))))))))))))))))
   0(2(c_1(c_1(c_1(c_0(2(c_1(c_1(c_0(c_1(c_0(2(2(c_0(c_0(2(c_0(2(c_1(z0)))))))))))))))))))) -> 0(1(0(1(2(2(2(1(1(0(2(2(1(2(0(0(0(0(2(1(z0))))))))))))))))))))
   0(c_1(c_0(2(2(c_1(c_1(c_0(c_1(c_0(2(2(c_1(c_0(2(c_0(c_1(c_0(c_1(c_1(z0)))))))))))))))))))) -> 0(1(2(0(0(2(2(0(0(0(0(2(1(2(1(0(1(2(0(2(z0))))))))))))))))))))
   0(2(c_1(2(c_0(c_1(c_1(c_1(2(c_0(c_1(c_1(2(c_1(2(c_0(2(c_0(2(c_0(z0)))))))))))))))))))) -> 0(1(2(1(1(0(1(1(2(1(2(0(1(0(1(2(2(0(2(2(z0))))))))))))))))))))
   0(c_0(c_1(c_0(c_0(c_1(c_1(2(c_1(c_1(2(2(c_1(c_1(2(2(c_1(c_1(c_0(2(z0)))))))))))))))))))) -> 0(1(1(0(0(2(0(0(2(0(2(1(1(1(1(1(0(2(0(2(z0))))))))))))))))))))
   0(c_1(c_1(c_0(c_1(c_0(2(c_1(c_1(2(2(c_0(2(c_0(2(c_0(2(2(c_0(c_1(z0)))))))))))))))))))) -> 0(2(0(2(1(0(0(1(2(2(1(2(2(1(2(2(1(2(2(0(z0))))))))))))))))))))
   0(c_1(c_0(c_1(c_1(c_1(c_1(2(c_0(2(2(2(2(2(2(c_1(c_0(2(c_0(c_1(z0)))))))))))))))))))) -> 0(0(0(2(2(1(0(0(1(2(1(0(2(2(1(0(0(2(2(1(z0))))))))))))))))))))
   0(c_0(2(2(c_0(c_0(c_1(c_0(2(2(c_1(c_1(2(2(c_1(c_0(2(2(c_0(c_1(z0)))))))))))))))))))) -> 0(2(0(2(2(1(0(0(2(2(1(2(1(1(0(0(2(0(2(1(z0))))))))))))))))))))
   0(c_0(2(2(c_1(c_1(c_1(c_0(c_1(c_0(c_1(c_0(c_1(2(2(2(c_1(2(c_0(c_0(z0)))))))))))))))))))) -> 0(1(0(2(0(2(2(1(0(1(0(2(1(2(1(0(1(1(1(2(z0))))))))))))))))))))
   0(c_1(c_1(c_0(c_0(2(c_0(2(c_1(c_1(c_1(2(c_1(2(c_1(c_0(c_0(c_1(c_1(c_1(z0)))))))))))))))))))) -> 0(1(0(0(2(2(0(0(2(2(0(2(0(0(1(2(1(0(1(2(z0))))))))))))))))))))
   0(c_1(c_1(c_0(2(c_1(2(c_1(c_1(c_0(c_1(c_1(2(c_1(c_0(c_1(c_0(c_1(c_1(c_1(z0)))))))))))))))))))) -> 0(1(1(1(2(1(2(2(0(1(1(0(2(2(0(0(2(1(0(2(z0))))))))))))))))))))
   0(2(c_1(c_1(c_1(2(2(c_0(c_0(c_0(2(c_1(c_0(c_1(2(2(c_1(c_0(2(c_0(z0)))))))))))))))))))) -> 0(1(0(1(0(0(0(1(0(2(1(1(0(0(2(1(2(0(2(1(z0))))))))))))))))))))
   0(c_0(c_0(2(c_1(2(2(c_0(c_1(c_1(c_0(c_0(c_1(c_1(2(c_1(c_0(2(2(c_1(z0)))))))))))))))))))) -> 0(2(0(1(1(2(0(1(2(1(2(1(0(2(2(0(2(0(1(0(z0))))))))))))))))))))
   0(c_0(2(c_0(2(c_1(c_1(2(c_1(c_1(c_1(c_1(c_1(c_0(c_1(c_1(c_1(2(2(c_1(z0)))))))))))))))))))) -> 0(2(0(0(2(1(1(2(2(0(2(0(1(2(2(2(1(1(1(2(z0))))))))))))))))))))
   0(2(c_0(c_1(c_1(c_1(c_0(c_1(2(2(c_0(2(c_0(2(c_0(2(c_1(2(c_0(c_1(z0)))))))))))))))))))) -> 0(2(2(0(1(2(2(2(2(1(0(2(1(2(0(0(2(2(2(1(z0))))))))))))))))))))
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   0(c_0(c_1(2(c_0(c_1(2(c_0(c_1(c_1(c_1(c_0(2(2(c_1(c_0(2(c_1(c_1(2(z0)))))))))))))))))))) -> 0(1(2(2(0(2(2(2(1(0(1(2(2(1(0(0(1(1(1(2(z0))))))))))))))))))))
   0(c_0(c_1(2(2(c_1(c_1(c_0(2(2(2(c_0(c_1(c_1(c_1(c_1(c_0(c_1(2(c_1(z0)))))))))))))))))))) -> 0(1(2(2(0(1(1(1(2(0(2(0(0(1(2(0(2(1(2(0(z0))))))))))))))))))))
   0(c_1(c_1(2(c_0(2(c_0(2(2(c_1(c_1(2(c_0(c_1(2(2(c_0(c_1(c_0(c_0(z0)))))))))))))))))))) -> 0(1(2(0(0(0(2(1(2(0(1(2(2(2(2(0(1(1(0(1(z0))))))))))))))))))))
   0(2(c_1(c_1(2(c_0(2(2(2(c_0(c_1(2(c_0(2(c_0(2(2(c_0(c_0(c_1(z0)))))))))))))))))))) -> 0(0(2(1(2(0(0(0(2(0(1(2(2(2(1(0(1(1(1(0(z0))))))))))))))))))))
   0(c_1(c_0(c_1(c_0(c_1(c_1(c_0(c_0(c_0(c_1(c_0(2(c_1(c_1(2(c_0(c_1(c_0(c_1(z0)))))))))))))))))))) -> 0(0(2(1(1(0(0(2(0(2(1(0(1(1(0(2(2(0(1(2(z0))))))))))))))))))))
   0(c_0(c_1(2(2(c_0(c_1(c_1(2(c_0(c_0(2(2(c_1(c_0(2(c_1(2(c_1(c_0(z0)))))))))))))))))))) -> 0(2(2(0(2(0(2(1(0(2(0(0(2(2(1(0(0(0(2(0(z0))))))))))))))))))))
   0(c_0(c_0(2(2(c_1(c_1(2(2(c_0(c_0(2(c_1(2(c_0(c_1(c_1(c_0(2(2(z0)))))))))))))))))))) -> 0(2(2(2(1(0(0(2(1(2(1(2(1(2(1(1(1(2(0(2(z0))))))))))))))))))))
   0(c_1(2(c_1(c_0(c_1(2(2(c_1(c_1(c_0(c_0(c_1(c_1(2(2(c_1(c_0(c_1(c_1(z0)))))))))))))))))))) -> 0(2(2(2(0(2(0(2(0(1(2(1(2(2(2(1(0(0(1(0(z0))))))))))))))))))))
   0(2(2(c_1(c_1(2(2(c_1(c_0(2(c_1(2(c_1(c_1(2(2(2(c_0(2(c_0(z0)))))))))))))))))))) -> 0(2(1(2(2(2(1(0(0(1(0(0(0(1(2(1(1(2(2(1(z0))))))))))))))))))))
   0(c_1(c_1(c_1(2(2(c_1(2(c_1(c_1(c_1(c_0(c_0(c_1(c_1(c_1(2(c_1(c_1(c_0(z0)))))))))))))))))))) -> 0(0(1(0(2(0(1(1(1(2(0(2(1(2(2(0(2(1(2(1(z0))))))))))))))))))))
   0(c_0(2(c_0(c_1(c_1(2(c_0(2(c_1(c_0(2(2(c_1(c_1(c_0(c_1(2(c_0(c_1(z0)))))))))))))))))))) -> 0(1(2(0(2(0(1(0(1(2(1(0(0(2(2(1(0(1(0(1(z0))))))))))))))))))))
   0(c_1(c_1(2(2(2(2(c_1(c_0(2(c_0(c_0(c_1(2(2(c_1(2(2(2(2(z0)))))))))))))))))))) -> 0(1(0(0(2(0(0(1(2(1(2(0(1(2(2(1(0(2(0(2(z0))))))))))))))))))))
   0(2(c_0(c_1(2(c_1(c_1(c_1(c_1(2(c_0(2(c_1(2(c_0(c_1(2(2(c_0(c_1(z0)))))))))))))))))))) -> 0(1(1(1(1(2(1(0(0(1(1(0(2(1(0(0(2(0(0(1(z0))))))))))))))))))))
   0(c_1(c_0(c_1(c_1(2(c_1(c_0(c_0(c_0(2(2(2(c_1(2(c_1(2(c_1(c_0(2(z0)))))))))))))))))))) -> 0(1(0(0(2(2(1(2(1(0(1(0(0(0(2(0(0(2(1(2(z0))))))))))))))))))))
   0(c_0(c_1(c_0(2(c_1(2(2(2(2(c_0(c_1(2(c_0(c_1(c_1(2(2(c_0(2(z0)))))))))))))))))))) -> 0(0(2(1(1(0(0(2(2(2(0(1(2(2(0(1(2(2(0(2(z0))))))))))))))))))))
   0(c_1(c_1(c_0(c_1(2(c_1(2(c_0(2(2(c_1(c_0(c_0(2(c_0(c_1(c_0(c_1(c_1(z0)))))))))))))))))))) -> 0(0(0(1(2(0(2(2(2(0(1(0(1(2(1(1(1(0(2(0(z0))))))))))))))))))))
   1(z0) -> c_1(z0)
   1(2(2(c_0(2(c_0(2(c_1(2(c_1(2(c_1(c_0(c_0(c_1(c_0(c_0(2(c_0(c_1(z0)))))))))))))))))))) -> 1(0(1(2(0(1(0(0(1(0(0(0(2(1(0(0(1(0(0(2(z0))))))))))))))))))))
Tuples:
   ENCARG(2(z0)) -> c(ENCARG(z0))
   ENCARG(cons_0(z0)) -> c1(0'(encArg(z0)), ENCARG(z0))
   ENCARG(cons_1(z0)) -> c2(1'(encArg(z0)), ENCARG(z0))
   0'(c_0(c_1(c_0(2(2(c_1(2(c_0(c_0(c_1(c_1(2(2(2(c_1(c_1(2(c_1(c_1(z0)))))))))))))))))))) -> c7(0'(2(0(2(2(0(0(1(2(0(2(0(0(1(1(0(0(2(1(1(z0)))))))))))))))))))), 0'(2(2(0(0(1(2(0(2(0(0(1(1(0(0(2(1(1(z0)))))))))))))))))), 0'(0(1(2(0(2(0(0(1(1(0(0(2(1(1(z0))))))))))))))), 0'(1(2(0(2(0(0(1(1(0(0(2(1(1(z0)))))))))))))), 1'(2(0(2(0(0(1(1(0(0(2(1(1(z0))))))))))))), 0'(2(0(0(1(1(0(0(2(1(1(z0))))))))))), 0'(0(1(1(0(0(2(1(1(z0))))))))), 0'(1(1(0(0(2(1(1(z0)))))))), 1'(1(0(0(2(1(1(z0))))))), 1'(0(0(2(1(1(z0)))))), 0'(0(2(1(1(z0))))), 0'(2(1(1(z0)))), 1'(1(z0)), 1'(z0))
   0'(c_1(c_0(c_1(2(c_1(c_1(c_1(c_0(c_0(c_1(c_1(2(2(2(c_0(2(c_0(c_1(2(z0)))))))))))))))))))) -> c8(0'(2(1(1(2(1(0(2(0(1(1(0(2(0(1(0(2(2(0(2(z0)))))))))))))))))))), 1'(1(2(1(0(2(0(1(1(0(2(0(1(0(2(2(0(2(z0)))))))))))))))))), 1'(2(1(0(2(0(1(1(0(2(0(1(0(2(2(0(2(z0))))))))))))))))), 1'(0(2(0(1(1(0(2(0(1(0(2(2(0(2(z0))))))))))))))), 0'(2(0(1(1(0(2(0(1(0(2(2(0(2(z0)))))))))))))), 0'(1(1(0(2(0(1(0(2(2(0(2(z0)))))))))))), 1'(1(0(2(0(1(0(2(2(0(2(z0))))))))))), 1'(0(2(0(1(0(2(2(0(2(z0)))))))))), 0'(2(0(1(0(2(2(0(2(z0))))))))), 0'(1(0(2(2(0(2(z0))))))), 1'(0(2(2(0(2(z0)))))), 0'(2(2(0(2(z0))))), 0'(2(z0)))
   0'(c_1(c_0(2(2(c_1(c_1(c_0(c_1(c_0(2(2(c_1(c_0(2(c_0(c_1(c_0(c_1(c_1(z0)))))))))))))))))))) -> c10(0'(1(2(0(0(2(2(0(0(0(0(2(1(2(1(0(1(2(0(2(z0)))))))))))))))))))), 1'(2(0(0(2(2(0(0(0(0(2(1(2(1(0(1(2(0(2(z0))))))))))))))))))), 0'(0(2(2(0(0(0(0(2(1(2(1(0(1(2(0(2(z0))))))))))))))))), 0'(2(2(0(0(0(0(2(1(2(1(0(1(2(0(2(z0)))))))))))))))), 0'(0(0(0(2(1(2(1(0(1(2(0(2(z0))))))))))))), 0'(0(0(2(1(2(1(0(1(2(0(2(z0)))))))))))), 0'(0(2(1(2(1(0(1(2(0(2(z0))))))))))), 0'(2(1(2(1(0(1(2(0(2(z0)))))))))), 1'(2(1(0(1(2(0(2(z0)))))))), 1'(0(1(2(0(2(z0)))))), 0'(1(2(0(2(z0))))), 1'(2(0(2(z0)))), 0'(2(z0)))
   0'(2(c_1(2(c_0(c_1(c_1(c_1(2(c_0(c_1(c_1(2(c_1(2(c_0(2(c_0(2(c_0(z0)))))))))))))))))))) -> c11(0'(1(2(1(1(0(1(1(2(1(2(0(1(0(1(2(2(0(2(2(z0)))))))))))))))))))), 1'(2(1(1(0(1(1(2(1(2(0(1(0(1(2(2(0(2(2(z0))))))))))))))))))), 1'(1(0(1(1(2(1(2(0(1(0(1(2(2(0(2(2(z0))))))))))))))))), 1'(0(1(1(2(1(2(0(1(0(1(2(2(0(2(2(z0)))))))))))))))), 0'(1(1(2(1(2(0(1(0(1(2(2(0(2(2(z0))))))))))))))), 1'(1(2(1(2(0(1(0(1(2(2(0(2(2(z0)))))))))))))), 1'(2(1(2(0(1(0(1(2(2(0(2(2(z0))))))))))))), 1'(2(0(1(0(1(2(2(0(2(2(z0))))))))))), 0'(1(0(1(2(2(0(2(2(z0))))))))), 1'(0(1(2(2(0(2(2(z0)))))))), 0'(1(2(2(0(2(2(z0))))))), 1'(2(2(0(2(2(z0)))))), 0'(2(2(z0))))
   0'(c_0(c_1(c_0(c_0(c_1(c_1(2(c_1(c_1(2(2(c_1(c_1(2(2(c_1(c_1(c_0(2(z0)))))))))))))))))))) -> c12(0'(1(1(0(0(2(0(0(2(0(2(1(1(1(1(1(0(2(0(2(z0)))))))))))))))))))), 1'(1(0(0(2(0(0(2(0(2(1(1(1(1(1(0(2(0(2(z0))))))))))))))))))), 1'(0(0(2(0(0(2(0(2(1(1(1(1(1(0(2(0(2(z0)))))))))))))))))), 0'(0(2(0(0(2(0(2(1(1(1(1(1(0(2(0(2(z0))))))))))))))))), 0'(2(0(0(2(0(2(1(1(1(1(1(0(2(0(2(z0)))))))))))))))), 0'(0(2(0(2(1(1(1(1(1(0(2(0(2(z0)))))))))))))), 0'(2(0(2(1(1(1(1(1(0(2(0(2(z0))))))))))))), 0'(2(1(1(1(1(1(0(2(0(2(z0))))))))))), 1'(1(1(1(1(0(2(0(2(z0))))))))), 1'(1(1(1(0(2(0(2(z0)))))))), 1'(1(1(0(2(0(2(z0))))))), 1'(1(0(2(0(2(z0)))))), 1'(0(2(0(2(z0))))), 0'(2(0(2(z0)))), 0'(2(z0)))
   0'(c_1(c_1(c_0(c_1(c_0(2(c_1(c_1(2(2(c_0(2(c_0(2(c_0(2(2(c_0(c_1(z0)))))))))))))))))))) -> c13(0'(2(0(2(1(0(0(1(2(2(1(2(2(1(2(2(1(2(2(0(z0)))))))))))))))))))), 0'(2(1(0(0(1(2(2(1(2(2(1(2(2(1(2(2(0(z0)))))))))))))))))), 1'(0(0(1(2(2(1(2(2(1(2(2(1(2(2(0(z0)))))))))))))))), 0'(0(1(2(2(1(2(2(1(2(2(1(2(2(0(z0))))))))))))))), 0'(1(2(2(1(2(2(1(2(2(1(2(2(0(z0)))))))))))))), 1'(2(2(1(2(2(1(2(2(1(2(2(0(z0))))))))))))), 1'(2(2(1(2(2(1(2(2(0(z0)))))))))), 1'(2(2(1(2(2(0(z0))))))), 1'(2(2(0(z0)))), 0'(z0))
   0'(c_1(c_0(c_1(c_1(c_1(c_1(2(c_0(2(2(2(2(2(2(c_1(c_0(2(c_0(c_1(z0)))))))))))))))))))) -> c14(0'(0(0(2(2(1(0(0(1(2(1(0(2(2(1(0(0(2(2(1(z0)))))))))))))))))))), 0'(0(2(2(1(0(0(1(2(1(0(2(2(1(0(0(2(2(1(z0))))))))))))))))))), 0'(2(2(1(0(0(1(2(1(0(2(2(1(0(0(2(2(1(z0)))))))))))))))))), 1'(0(0(1(2(1(0(2(2(1(0(0(2(2(1(z0))))))))))))))), 0'(0(1(2(1(0(2(2(1(0(0(2(2(1(z0)))))))))))))), 0'(1(2(1(0(2(2(1(0(0(2(2(1(z0))))))))))))), 1'(2(1(0(2(2(1(0(0(2(2(1(z0)))))))))))), 1'(0(2(2(1(0(0(2(2(1(z0)))))))))), 0'(2(2(1(0(0(2(2(1(z0))))))))), 1'(0(0(2(2(1(z0)))))), 0'(0(2(2(1(z0))))), 0'(2(2(1(z0)))), 1'(z0))
   0'(c_0(2(2(c_0(c_0(c_1(c_0(2(2(c_1(c_1(2(2(c_1(c_0(2(2(c_0(c_1(z0)))))))))))))))))))) -> c15(0'(2(0(2(2(1(0(0(2(2(1(2(1(1(0(0(2(0(2(1(z0)))))))))))))))))))), 0'(2(2(1(0(0(2(2(1(2(1(1(0(0(2(0(2(1(z0)))))))))))))))))), 1'(0(0(2(2(1(2(1(1(0(0(2(0(2(1(z0))))))))))))))), 0'(0(2(2(1(2(1(1(0(0(2(0(2(1(z0)))))))))))))), 0'(2(2(1(2(1(1(0(0(2(0(2(1(z0))))))))))))), 1'(2(1(1(0(0(2(0(2(1(z0)))))))))), 1'(1(0(0(2(0(2(1(z0)))))))), 1'(0(0(2(0(2(1(z0))))))), 0'(0(2(0(2(1(z0)))))), 0'(2(0(2(1(z0))))), 0'(2(1(z0))), 1'(z0))
   0'(c_0(2(2(c_1(c_1(c_1(c_0(c_1(c_0(c_1(c_0(c_1(2(2(2(c_1(2(c_0(c_0(z0)))))))))))))))))))) -> c16(0'(1(0(2(0(2(2(1(0(1(0(2(1(2(1(0(1(1(1(2(z0)))))))))))))))))))), 1'(0(2(0(2(2(1(0(1(0(2(1(2(1(0(1(1(1(2(z0))))))))))))))))))), 0'(2(0(2(2(1(0(1(0(2(1(2(1(0(1(1(1(2(z0)))))))))))))))))), 0'(2(2(1(0(1(0(2(1(2(1(0(1(1(1(2(z0)))))))))))))))), 1'(0(1(0(2(1(2(1(0(1(1(1(2(z0))))))))))))), 0'(1(0(2(1(2(1(0(1(1(1(2(z0)))))))))))), 1'(0(2(1(2(1(0(1(1(1(2(z0))))))))))), 0'(2(1(2(1(0(1(1(1(2(z0)))))))))), 1'(2(1(0(1(1(1(2(z0)))))))), 1'(0(1(1(1(2(z0)))))), 0'(1(1(1(2(z0))))), 1'(1(1(2(z0)))), 1'(1(2(z0))), 1'(2(z0)))
   0'(c_1(c_1(c_0(c_0(2(c_0(2(c_1(c_1(c_1(2(c_1(2(c_1(c_0(c_0(c_1(c_1(c_1(z0)))))))))))))))))))) -> c17(0'(1(0(0(2(2(0(0(2(2(0(2(0(0(1(2(1(0(1(2(z0)))))))))))))))))))), 1'(0(0(2(2(0(0(2(2(0(2(0(0(1(2(1(0(1(2(z0))))))))))))))))))), 0'(0(2(2(0(0(2(2(0(2(0(0(1(2(1(0(1(2(z0)))))))))))))))))), 0'(2(2(0(0(2(2(0(2(0(0(1(2(1(0(1(2(z0))))))))))))))))), 0'(0(2(2(0(2(0(0(1(2(1(0(1(2(z0)))))))))))))), 0'(2(2(0(2(0(0(1(2(1(0(1(2(z0))))))))))))), 0'(2(0(0(1(2(1(0(1(2(z0)))))))))), 0'(0(1(2(1(0(1(2(z0)))))))), 0'(1(2(1(0(1(2(z0))))))), 1'(2(1(0(1(2(z0)))))), 1'(0(1(2(z0)))), 0'(1(2(z0))), 1'(2(z0)))
   0'(c_1(c_1(c_0(2(c_1(2(c_1(c_1(c_0(c_1(c_1(2(c_1(c_0(c_1(c_0(c_1(c_1(c_1(z0)))))))))))))))))))) -> c18(0'(1(1(1(2(1(2(2(0(1(1(0(2(2(0(0(2(1(0(2(z0)))))))))))))))))))), 1'(1(1(2(1(2(2(0(1(1(0(2(2(0(0(2(1(0(2(z0))))))))))))))))))), 1'(1(2(1(2(2(0(1(1(0(2(2(0(0(2(1(0(2(z0)))))))))))))))))), 1'(2(1(2(2(0(1(1(0(2(2(0(0(2(1(0(2(z0))))))))))))))))), 1'(2(2(0(1(1(0(2(2(0(0(2(1(0(2(z0))))))))))))))), 0'(1(1(0(2(2(0(0(2(1(0(2(z0)))))))))))), 1'(1(0(2(2(0(0(2(1(0(2(z0))))))))))), 1'(0(2(2(0(0(2(1(0(2(z0)))))))))), 0'(2(2(0(0(2(1(0(2(z0))))))))), 0'(0(2(1(0(2(z0)))))), 0'(2(1(0(2(z0))))), 1'(0(2(z0))), 0'(2(z0)))
   0'(2(c_1(c_1(c_1(2(2(c_0(c_0(c_0(2(c_1(c_0(c_1(2(2(c_1(c_0(2(c_0(z0)))))))))))))))))))) -> c19(0'(1(0(1(0(0(0(1(0(2(1(1(0(0(2(1(2(0(2(1(z0)))))))))))))))))))), 1'(0(1(0(0(0(1(0(2(1(1(0(0(2(1(2(0(2(1(z0))))))))))))))))))), 0'(1(0(0(0(1(0(2(1(1(0(0(2(1(2(0(2(1(z0)))))))))))))))))), 1'(0(0(0(1(0(2(1(1(0(0(2(1(2(0(2(1(z0))))))))))))))))), 0'(0(0(1(0(2(1(1(0(0(2(1(2(0(2(1(z0)))))))))))))))), 0'(0(1(0(2(1(1(0(0(2(1(2(0(2(1(z0))))))))))))))), 0'(1(0(2(1(1(0(0(2(1(2(0(2(1(z0)))))))))))))), 1'(0(2(1(1(0(0(2(1(2(0(2(1(z0))))))))))))), 0'(2(1(1(0(0(2(1(2(0(2(1(z0)))))))))))), 1'(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))))))), 1'(2(0(2(1(z0))))), 0'(2(1(z0))), 1'(z0))
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   0'(2(c_1(c_1(c_0(2(c_1(c_1(c_1(c_1(2(2(c_0(c_1(c_1(c_1(2(2(c_1(c_1(z0)))))))))))))))))))) -> c29(0'(0(2(0(0(1(0(2(2(1(0(1(1(0(0(2(0(2(2(1(z0)))))))))))))))))))), 0'(2(0(0(1(0(2(2(1(0(1(1(0(0(2(0(2(2(1(z0))))))))))))))))))), 0'(0(1(0(2(2(1(0(1(1(0(0(2(0(2(2(1(z0))))))))))))))))), 0'(1(0(2(2(1(0(1(1(0(0(2(0(2(2(1(z0)))))))))))))))), 1'(0(2(2(1(0(1(1(0(0(2(0(2(2(1(z0))))))))))))))), 0'(2(2(1(0(1(1(0(0(2(0(2(2(1(z0)))))))))))))), 1'(0(1(1(0(0(2(0(2(2(1(z0))))))))))), 0'(1(1(0(0(2(0(2(2(1(z0)))))))))), 1'(1(0(0(2(0(2(2(1(z0))))))))), 1'(0(0(2(0(2(2(1(z0)))))))), 0'(0(2(0(2(2(1(z0))))))), 0'(2(0(2(2(1(z0)))))), 0'(2(2(1(z0)))), 1'(z0))
   0'(c_0(2(2(2(c_0(c_1(c_0(c_1(c_1(c_1(c_0(c_1(c_0(c_0(c_0(c_1(c_1(2(c_0(z0)))))))))))))))))))) -> c30(0'(2(0(2(2(2(2(0(2(2(1(0(0(0(0(0(0(2(0(0(z0)))))))))))))))))))), 0'(2(2(2(2(0(2(2(1(0(0(0(0(0(0(2(0(0(z0)))))))))))))))))), 0'(2(2(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)))), 0'(0(z0)), 0'(z0))
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   0'(2(2(c_1(c_1(2(c_0(c_1(c_0(c_1(c_0(2(c_0(c_1(c_0(c_1(c_0(2(c_1(c_1(z0)))))))))))))))))))) -> c34(0'(1(1(0(0(1(1(0(0(2(2(1(1(2(2(0(0(0(2(0(z0)))))))))))))))))))), 1'(1(0(0(1(1(0(0(2(2(1(1(2(2(0(0(0(2(0(z0))))))))))))))))))), 1'(0(0(1(1(0(0(2(2(1(1(2(2(0(0(0(2(0(z0)))))))))))))))))), 0'(0(1(1(0(0(2(2(1(1(2(2(0(0(0(2(0(z0))))))))))))))))), 0'(1(1(0(0(2(2(1(1(2(2(0(0(0(2(0(z0)))))))))))))))), 1'(1(0(0(2(2(1(1(2(2(0(0(0(2(0(z0))))))))))))))), 1'(0(0(2(2(1(1(2(2(0(0(0(2(0(z0)))))))))))))), 0'(0(2(2(1(1(2(2(0(0(0(2(0(z0))))))))))))), 0'(2(2(1(1(2(2(0(0(0(2(0(z0)))))))))))), 1'(1(2(2(0(0(0(2(0(z0))))))))), 1'(2(2(0(0(0(2(0(z0)))))))), 0'(0(0(2(0(z0))))), 0'(0(2(0(z0)))), 0'(2(0(z0))), 0'(z0))
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   0'(c_1(2(c_0(c_0(2(c_1(c_1(c_0(2(c_1(c_0(c_1(c_1(c_1(c_0(c_1(c_1(c_0(c_0(z0)))))))))))))))))))) -> c84(0'(0(0(2(0(1(1(2(2(0(2(0(0(2(1(0(0(2(1(1(z0)))))))))))))))))))), 0'(0(2(0(1(1(2(2(0(2(0(0(2(1(0(0(2(1(1(z0))))))))))))))))))), 0'(2(0(1(1(2(2(0(2(0(0(2(1(0(0(2(1(1(z0)))))))))))))))))), 0'(1(1(2(2(0(2(0(0(2(1(0(0(2(1(1(z0)))))))))))))))), 1'(1(2(2(0(2(0(0(2(1(0(0(2(1(1(z0))))))))))))))), 1'(2(2(0(2(0(0(2(1(0(0(2(1(1(z0)))))))))))))), 0'(2(0(0(2(1(0(0(2(1(1(z0))))))))))), 0'(0(2(1(0(0(2(1(1(z0))))))))), 0'(2(1(0(0(2(1(1(z0)))))))), 1'(0(0(2(1(1(z0)))))), 0'(0(2(1(1(z0))))), 0'(2(1(1(z0)))), 1'(1(z0)), 1'(z0))
   0'(c_0(c_1(c_0(2(2(2(2(c_1(c_0(2(c_1(c_0(2(2(c_0(c_1(c_1(2(c_1(z0)))))))))))))))))))) -> c85(0'(0(1(0(0(0(0(2(2(2(2(0(0(0(1(0(0(2(1(1(z0)))))))))))))))))))), 0'(1(0(0(0(0(2(2(2(2(0(0(0(1(0(0(2(1(1(z0))))))))))))))))))), 1'(0(0(0(0(2(2(2(2(0(0(0(1(0(0(2(1(1(z0)))))))))))))))))), 0'(0(0(0(2(2(2(2(0(0(0(1(0(0(2(1(1(z0))))))))))))))))), 0'(0(0(2(2(2(2(0(0(0(1(0(0(2(1(1(z0)))))))))))))))), 0'(0(2(2(2(2(0(0(0(1(0(0(2(1(1(z0))))))))))))))), 0'(2(2(2(2(0(0(0(1(0(0(2(1(1(z0)))))))))))))), 0'(0(0(1(0(0(2(1(1(z0))))))))), 0'(0(1(0(0(2(1(1(z0)))))))), 0'(1(0(0(2(1(1(z0))))))), 1'(0(0(2(1(1(z0)))))), 0'(0(2(1(1(z0))))), 0'(2(1(1(z0)))), 1'(1(z0)), 1'(z0))
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   0'(c_0(c_1(2(c_0(c_1(2(c_0(c_1(c_1(c_1(c_0(2(2(c_1(c_0(2(c_1(c_1(2(z0)))))))))))))))))))) -> c89(0'(1(2(2(0(2(2(2(1(0(1(2(2(1(0(0(1(1(1(2(z0)))))))))))))))))))), 1'(2(2(0(2(2(2(1(0(1(2(2(1(0(0(1(1(1(2(z0))))))))))))))))))), 0'(2(2(2(1(0(1(2(2(1(0(0(1(1(1(2(z0)))))))))))))))), 1'(0(1(2(2(1(0(0(1(1(1(2(z0)))))))))))), 0'(1(2(2(1(0(0(1(1(1(2(z0))))))))))), 1'(2(2(1(0(0(1(1(1(2(z0)))))))))), 1'(0(0(1(1(1(2(z0))))))), 0'(0(1(1(1(2(z0)))))), 0'(1(1(1(2(z0))))), 1'(1(1(2(z0)))), 1'(1(2(z0))), 1'(2(z0)))
   0'(c_0(c_1(2(2(c_1(c_1(c_0(2(2(2(c_0(c_1(c_1(c_1(c_1(c_0(c_1(2(c_1(z0)))))))))))))))))))) -> c90(0'(1(2(2(0(1(1(1(2(0(2(0(0(1(2(0(2(1(2(0(z0)))))))))))))))))))), 1'(2(2(0(1(1(1(2(0(2(0(0(1(2(0(2(1(2(0(z0))))))))))))))))))), 0'(1(1(1(2(0(2(0(0(1(2(0(2(1(2(0(z0)))))))))))))))), 1'(1(1(2(0(2(0(0(1(2(0(2(1(2(0(z0))))))))))))))), 1'(1(2(0(2(0(0(1(2(0(2(1(2(0(z0)))))))))))))), 1'(2(0(2(0(0(1(2(0(2(1(2(0(z0))))))))))))), 0'(2(0(0(1(2(0(2(1(2(0(z0))))))))))), 0'(0(1(2(0(2(1(2(0(z0))))))))), 0'(1(2(0(2(1(2(0(z0)))))))), 1'(2(0(2(1(2(0(z0))))))), 0'(2(1(2(0(z0))))), 1'(2(0(z0))), 0'(z0))
   0'(c_1(c_0(c_1(c_0(c_1(c_1(c_0(c_0(c_0(c_1(c_0(2(c_1(c_1(2(c_0(c_1(c_0(c_1(z0)))))))))))))))))))) -> c93(0'(0(2(1(1(0(0(2(0(2(1(0(1(1(0(2(2(0(1(2(z0)))))))))))))))))))), 0'(2(1(1(0(0(2(0(2(1(0(1(1(0(2(2(0(1(2(z0))))))))))))))))))), 1'(1(0(0(2(0(2(1(0(1(1(0(2(2(0(1(2(z0))))))))))))))))), 1'(0(0(2(0(2(1(0(1(1(0(2(2(0(1(2(z0)))))))))))))))), 0'(0(2(0(2(1(0(1(1(0(2(2(0(1(2(z0))))))))))))))), 0'(2(0(2(1(0(1(1(0(2(2(0(1(2(z0)))))))))))))), 0'(2(1(0(1(1(0(2(2(0(1(2(z0)))))))))))), 1'(0(1(1(0(2(2(0(1(2(z0)))))))))), 0'(1(1(0(2(2(0(1(2(z0))))))))), 1'(1(0(2(2(0(1(2(z0)))))))), 1'(0(2(2(0(1(2(z0))))))), 0'(2(2(0(1(2(z0)))))), 0'(1(2(z0))), 1'(2(z0)))
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   0'(c_0(c_1(c_0(2(c_1(2(2(2(2(c_0(c_1(2(c_0(c_1(c_1(2(2(c_0(2(z0)))))))))))))))))))) -> c103(0'(0(2(1(1(0(0(2(2(2(0(1(2(2(0(1(2(2(0(2(z0)))))))))))))))))))), 0'(2(1(1(0(0(2(2(2(0(1(2(2(0(1(2(2(0(2(z0))))))))))))))))))), 1'(1(0(0(2(2(2(0(1(2(2(0(1(2(2(0(2(z0))))))))))))))))), 1'(0(0(2(2(2(0(1(2(2(0(1(2(2(0(2(z0)))))))))))))))), 0'(0(2(2(2(0(1(2(2(0(1(2(2(0(2(z0))))))))))))))), 0'(2(2(2(0(1(2(2(0(1(2(2(0(2(z0)))))))))))))), 0'(1(2(2(0(1(2(2(0(2(z0)))))))))), 1'(2(2(0(1(2(2(0(2(z0))))))))), 0'(1(2(2(0(2(z0)))))), 1'(2(2(0(2(z0))))), 0'(2(z0)))
   0'(c_1(c_1(c_0(c_1(2(c_1(2(c_0(2(2(c_1(c_0(c_0(2(c_0(c_1(c_0(c_1(c_1(z0)))))))))))))))))))) -> c104(0'(0(0(1(2(0(2(2(2(0(1(0(1(2(1(1(1(0(2(0(z0)))))))))))))))))))), 0'(0(1(2(0(2(2(2(0(1(0(1(2(1(1(1(0(2(0(z0))))))))))))))))))), 0'(1(2(0(2(2(2(0(1(0(1(2(1(1(1(0(2(0(z0)))))))))))))))))), 1'(2(0(2(2(2(0(1(0(1(2(1(1(1(0(2(0(z0))))))))))))))))), 0'(2(2(2(0(1(0(1(2(1(1(1(0(2(0(z0))))))))))))))), 0'(1(0(1(2(1(1(1(0(2(0(z0))))))))))), 1'(0(1(2(1(1(1(0(2(0(z0)))))))))), 0'(1(2(1(1(1(0(2(0(z0))))))))), 1'(2(1(1(1(0(2(0(z0)))))))), 1'(1(1(0(2(0(z0)))))), 1'(1(0(2(0(z0))))), 1'(0(2(0(z0)))), 0'(2(0(z0))), 0'(z0))
   1'(2(2(c_0(2(c_0(2(c_1(2(c_1(2(c_1(c_0(c_0(c_1(c_0(c_0(2(c_0(c_1(z0)))))))))))))))))))) -> c106(1'(0(1(2(0(1(0(0(1(0(0(0(2(1(0(0(1(0(0(2(z0)))))))))))))))))))), 0'(1(2(0(1(0(0(1(0(0(0(2(1(0(0(1(0(0(2(z0))))))))))))))))))), 1'(2(0(1(0(0(1(0(0(0(2(1(0(0(1(0(0(2(z0)))))))))))))))))), 0'(1(0(0(1(0(0(0(2(1(0(0(1(0(0(2(z0)))))))))))))))), 1'(0(0(1(0(0(0(2(1(0(0(1(0(0(2(z0))))))))))))))), 0'(0(1(0(0(0(2(1(0(0(1(0(0(2(z0)))))))))))))), 0'(1(0(0(0(2(1(0(0(1(0(0(2(z0))))))))))))), 1'(0(0(0(2(1(0(0(1(0(0(2(z0)))))))))))), 0'(0(0(2(1(0(0(1(0(0(2(z0))))))))))), 0'(0(2(1(0(0(1(0(0(2(z0)))))))))), 0'(2(1(0(0(1(0(0(2(z0))))))))), 1'(0(0(1(0(0(2(z0))))))), 0'(0(1(0(0(2(z0)))))), 0'(1(0(0(2(z0))))), 1'(0(0(2(z0)))), 0'(0(2(z0))), 0'(2(z0)))
   0'(2(c_1(c_1(c_1(c_0(2(c_1(c_1(c_0(c_1(c_0(2(2(c_0(c_0(2(c_0(2(c_1(z0)))))))))))))))))))) -> c9(0'(1(0(1(2(2(2(1(1(0(2(2(1(2(0(0(0(0(2(1(z0)))))))))))))))))))), 1'(0(1(2(2(2(1(1(0(2(2(1(2(0(0(0(0(2(1(z0))))))))))))))))))), 0'(1(2(2(2(1(1(0(2(2(1(2(0(0(0(0(2(1(z0)))))))))))))))))), 1'(1(0(2(2(1(2(0(0(0(0(2(1(z0))))))))))))), 1'(0(2(2(1(2(0(0(0(0(2(1(z0)))))))))))), 0'(2(2(1(2(0(0(0(0(2(1(z0))))))))))), 1'(2(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))), 1'(z0))
   0'(c_0(2(c_0(2(c_1(c_1(2(c_1(c_1(c_1(c_1(c_1(c_0(c_1(c_1(c_1(2(2(c_1(z0)))))))))))))))))))) -> c21(0'(2(0(0(2(1(1(2(2(0(2(0(1(2(2(2(1(1(1(2(z0)))))))))))))))))))), 0'(0(2(1(1(2(2(0(2(0(1(2(2(2(1(1(1(2(z0)))))))))))))))))), 0'(2(1(1(2(2(0(2(0(1(2(2(2(1(1(1(2(z0))))))))))))))))), 1'(1(2(2(0(2(0(1(2(2(2(1(1(1(2(z0))))))))))))))), 1'(2(2(0(2(0(1(2(2(2(1(1(1(2(z0)))))))))))))), 0'(2(0(1(2(2(2(1(1(1(2(z0))))))))))), 0'(1(2(2(2(1(1(1(2(z0))))))))), 1'(1(1(2(z0)))), 1'(1(2(z0))), 1'(2(z0)))
   0'(2(c_0(c_1(c_1(c_1(c_0(c_1(2(2(c_0(2(c_0(2(c_0(2(c_1(2(c_0(c_1(z0)))))))))))))))))))) -> c22(0'(2(2(0(1(2(2(2(2(1(0(2(1(2(0(0(2(2(2(1(z0)))))))))))))))))))), 0'(1(2(2(2(2(1(0(2(1(2(0(0(2(2(2(1(z0))))))))))))))))), 1'(0(2(1(2(0(0(2(2(2(1(z0))))))))))), 0'(2(1(2(0(0(2(2(2(1(z0)))))))))), 1'(2(0(0(2(2(2(1(z0)))))))), 0'(0(2(2(2(1(z0)))))), 0'(2(2(2(1(z0))))), 1'(z0))
   0'(2(c_0(2(c_1(c_0(c_0(c_1(2(c_0(2(c_0(c_1(c_0(c_1(c_1(c_1(2(2(c_1(z0)))))))))))))))))))) -> c31(0'(0(1(0(1(0(1(1(2(1(0(0(0(1(2(2(2(0(1(0(z0)))))))))))))))))))), 0'(1(0(1(0(1(1(2(1(0(0(0(1(2(2(2(0(1(0(z0))))))))))))))))))), 1'(0(1(0(1(1(2(1(0(0(0(1(2(2(2(0(1(0(z0)))))))))))))))))), 0'(1(0(1(1(2(1(0(0(0(1(2(2(2(0(1(0(z0))))))))))))))))), 1'(0(1(1(2(1(0(0(0(1(2(2(2(0(1(0(z0)))))))))))))))), 0'(1(1(2(1(0(0(0(1(2(2(2(0(1(0(z0))))))))))))))), 1'(1(2(1(0(0(0(1(2(2(2(0(1(0(z0)))))))))))))), 1'(2(1(0(0(0(1(2(2(2(0(1(0(z0))))))))))))), 1'(0(0(0(1(2(2(2(0(1(0(z0))))))))))), 0'(0(0(1(2(2(2(0(1(0(z0)))))))))), 0'(0(1(2(2(2(0(1(0(z0))))))))), 0'(1(2(2(2(0(1(0(z0)))))))), 0'(1(0(z0))), 1'(0(z0)), 0'(z0))
   0'(c_1(c_1(2(c_0(c_1(c_0(c_0(c_1(2(c_0(2(c_1(c_0(c_0(c_0(c_0(2(c_0(c_1(z0)))))))))))))))))))) -> c40(0'(0(2(1(2(2(2(1(2(1(0(0(0(2(2(1(0(1(2(0(z0)))))))))))))))))))), 0'(2(1(2(2(2(1(2(1(0(0(0(2(2(1(0(1(2(0(z0))))))))))))))))))), 1'(2(1(0(0(0(2(2(1(0(1(2(0(z0))))))))))))), 1'(0(0(0(2(2(1(0(1(2(0(z0))))))))))), 0'(0(0(2(2(1(0(1(2(0(z0)))))))))), 0'(0(2(2(1(0(1(2(0(z0))))))))), 0'(2(2(1(0(1(2(0(z0)))))))), 1'(0(1(2(0(z0))))), 0'(1(2(0(z0)))), 1'(2(0(z0))), 0'(z0))
   0'(c_1(c_0(2(2(2(c_1(2(c_1(c_1(c_1(2(c_1(c_0(2(c_1(c_1(c_1(c_0(c_1(z0)))))))))))))))))))) -> c61(0'(0(1(2(2(2(1(0(0(1(1(2(1(1(2(0(0(1(2(0(z0)))))))))))))))))))), 0'(1(2(2(2(1(0(0(1(1(2(1(1(2(0(0(1(2(0(z0))))))))))))))))))), 1'(0(0(1(1(2(1(1(2(0(0(1(2(0(z0)))))))))))))), 0'(0(1(1(2(1(1(2(0(0(1(2(0(z0))))))))))))), 0'(1(1(2(1(1(2(0(0(1(2(0(z0)))))))))))), 1'(1(2(1(1(2(0(0(1(2(0(z0))))))))))), 1'(2(1(1(2(0(0(1(2(0(z0)))))))))), 1'(1(2(0(0(1(2(0(z0)))))))), 1'(2(0(0(1(2(0(z0))))))), 0'(0(1(2(0(z0))))), 0'(1(2(0(z0)))), 1'(2(0(z0))), 0'(z0))
   0'(c_1(c_1(c_0(2(c_1(c_1(c_0(c_0(c_1(c_1(c_1(2(2(2(c_0(2(c_0(c_0(2(z0)))))))))))))))))))) -> c63(0'(1(2(1(0(2(1(0(1(2(2(2(0(0(2(0(2(2(1(2(z0)))))))))))))))))))), 1'(2(1(0(2(1(0(1(2(2(2(0(0(2(0(2(2(1(2(z0))))))))))))))))))), 1'(0(2(1(0(1(2(2(2(0(0(2(0(2(2(1(2(z0))))))))))))))))), 0'(2(1(0(1(2(2(2(0(0(2(0(2(2(1(2(z0)))))))))))))))), 1'(0(1(2(2(2(0(0(2(0(2(2(1(2(z0)))))))))))))), 0'(1(2(2(2(0(0(2(0(2(2(1(2(z0))))))))))))), 0'(0(2(0(2(2(1(2(z0)))))))), 0'(2(0(2(2(1(2(z0))))))), 0'(2(2(1(2(z0))))), 1'(2(z0)))
   0'(c_1(c_1(c_1(c_1(2(c_0(c_0(c_0(2(2(2(2(c_1(c_0(2(2(2(c_0(c_1(z0)))))))))))))))))))) -> c65(0'(2(0(0(0(1(2(0(1(2(2(2(1(2(1(1(1(2(1(2(z0)))))))))))))))))))), 0'(0(0(1(2(0(1(2(2(2(1(2(1(1(1(2(1(2(z0)))))))))))))))))), 0'(0(1(2(0(1(2(2(2(1(2(1(1(1(2(1(2(z0))))))))))))))))), 0'(1(2(0(1(2(2(2(1(2(1(1(1(2(1(2(z0)))))))))))))))), 1'(2(0(1(2(2(2(1(2(1(1(1(2(1(2(z0))))))))))))))), 0'(1(2(2(2(1(2(1(1(1(2(1(2(z0))))))))))))), 1'(2(1(1(1(2(1(2(z0)))))))), 1'(1(1(2(1(2(z0)))))), 1'(1(2(1(2(z0))))), 1'(2(1(2(z0)))), 1'(2(z0)))
   0'(2(c_1(c_1(c_1(c_0(c_0(c_1(2(c_1(2(c_1(c_1(2(c_0(2(c_1(c_0(c_1(2(z0)))))))))))))))))))) -> c74(0'(1(0(1(0(2(0(0(0(1(1(1(2(0(0(0(1(2(2(2(z0)))))))))))))))))))), 1'(0(1(0(2(0(0(0(1(1(1(2(0(0(0(1(2(2(2(z0))))))))))))))))))), 0'(1(0(2(0(0(0(1(1(1(2(0(0(0(1(2(2(2(z0)))))))))))))))))), 1'(0(2(0(0(0(1(1(1(2(0(0(0(1(2(2(2(z0))))))))))))))))), 0'(2(0(0(0(1(1(1(2(0(0(0(1(2(2(2(z0)))))))))))))))), 0'(0(0(1(1(1(2(0(0(0(1(2(2(2(z0)))))))))))))), 0'(0(1(1(1(2(0(0(0(1(2(2(2(z0))))))))))))), 0'(1(1(1(2(0(0(0(1(2(2(2(z0)))))))))))), 1'(1(1(2(0(0(0(1(2(2(2(z0))))))))))), 1'(1(2(0(0(0(1(2(2(2(z0)))))))))), 1'(2(0(0(0(1(2(2(2(z0))))))))), 0'(0(0(1(2(2(2(z0))))))), 0'(0(1(2(2(2(z0)))))), 0'(1(2(2(2(z0))))))
   0'(2(2(c_1(c_1(c_1(c_1(c_0(c_0(c_1(c_0(c_1(c_0(2(2(c_1(c_1(2(2(c_1(z0)))))))))))))))))))) -> c75(0'(2(2(2(0(2(2(1(1(2(2(2(2(0(2(0(0(2(0(2(z0)))))))))))))))))))), 0'(2(2(1(1(2(2(2(2(0(2(0(0(2(0(2(z0)))))))))))))))), 1'(1(2(2(2(2(0(2(0(0(2(0(2(z0))))))))))))), 0'(2(0(0(2(0(2(z0))))))), 0'(0(2(0(2(z0))))), 0'(2(0(2(z0)))), 0'(2(z0)))
   0'(c_1(c_0(c_1(c_1(2(2(c_0(c_0(c_0(2(2(2(c_1(c_1(c_0(c_1(c_1(c_1(c_1(z0)))))))))))))))))))) -> c81(0'(0(2(2(2(2(2(2(1(1(0(1(2(2(0(1(2(0(2(1(z0)))))))))))))))))))), 1'(1(0(1(2(2(0(1(2(0(2(1(z0)))))))))))), 1'(0(1(2(2(0(1(2(0(2(1(z0))))))))))), 0'(1(2(2(0(1(2(0(2(1(z0)))))))))), 1'(2(2(0(1(2(0(2(1(z0))))))))), 0'(1(2(0(2(1(z0)))))), 1'(2(0(2(1(z0))))), 0'(2(1(z0))), 1'(z0))
   0'(c_0(c_1(c_1(c_0(2(2(c_1(c_1(c_1(c_1(c_1(2(c_0(2(c_1(c_0(2(2(c_1(z0)))))))))))))))))))) -> c82(0'(2(0(1(1(0(1(2(2(2(0(0(2(2(2(0(2(0(0(0(z0)))))))))))))))))))), 0'(1(1(0(1(2(2(2(0(0(2(2(2(0(2(0(0(0(z0)))))))))))))))))), 1'(1(0(1(2(2(2(0(0(2(2(2(0(2(0(0(0(z0))))))))))))))))), 1'(0(1(2(2(2(0(0(2(2(2(0(2(0(0(0(z0)))))))))))))))), 0'(1(2(2(2(0(0(2(2(2(0(2(0(0(0(z0))))))))))))))), 0'(0(2(2(2(0(2(0(0(0(z0)))))))))), 0'(2(2(2(0(2(0(0(0(z0))))))))), 0'(2(0(0(0(z0))))), 0'(0(0(z0))), 0'(0(z0)), 0'(z0))
   0'(c_1(c_1(c_0(c_1(c_1(c_1(c_1(2(c_0(2(c_0(2(2(2(c_0(c_0(c_0(2(c_1(z0)))))))))))))))))))) -> c86(0'(1(0(1(2(2(2(0(2(2(1(1(2(2(2(0(0(0(1(0(z0)))))))))))))))))))), 1'(0(1(2(2(2(0(2(2(1(1(2(2(2(0(0(0(1(0(z0))))))))))))))))))), 0'(1(2(2(2(0(2(2(1(1(2(2(2(0(0(0(1(0(z0)))))))))))))))))), 0'(2(2(1(1(2(2(2(0(0(0(1(0(z0))))))))))))), 1'(1(2(2(2(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_1(c_0(c_1(2(2(2(c_1(c_1(2(c_1(2(c_1(c_0(2(c_0(c_1(2(c_0(z0)))))))))))))))))))) -> c87(0'(2(0(1(1(2(2(2(1(0(0(2(1(0(0(0(0(2(0(2(z0)))))))))))))))))))), 0'(1(1(2(2(2(1(0(0(2(1(0(0(0(0(2(0(2(z0)))))))))))))))))), 1'(1(2(2(2(1(0(0(2(1(0(0(0(0(2(0(2(z0))))))))))))))))), 1'(0(0(2(1(0(0(0(0(2(0(2(z0)))))))))))), 0'(0(2(1(0(0(0(0(2(0(2(z0))))))))))), 0'(2(1(0(0(0(0(2(0(2(z0)))))))))), 1'(0(0(0(0(2(0(2(z0)))))))), 0'(0(0(0(2(0(2(z0))))))), 0'(0(0(2(0(2(z0)))))), 0'(0(2(0(2(z0))))), 0'(2(0(2(z0)))), 0'(2(z0)))
   0'(c_1(c_1(2(c_0(2(c_0(2(2(c_1(c_1(2(c_0(c_1(2(2(c_0(c_1(c_0(c_0(z0)))))))))))))))))))) -> c91(0'(1(2(0(0(0(2(1(2(0(1(2(2(2(2(0(1(1(0(1(z0)))))))))))))))))))), 1'(2(0(0(0(2(1(2(0(1(2(2(2(2(0(1(1(0(1(z0))))))))))))))))))), 0'(0(0(2(1(2(0(1(2(2(2(2(0(1(1(0(1(z0))))))))))))))))), 0'(0(2(1(2(0(1(2(2(2(2(0(1(1(0(1(z0)))))))))))))))), 0'(2(1(2(0(1(2(2(2(2(0(1(1(0(1(z0))))))))))))))), 1'(2(0(1(2(2(2(2(0(1(1(0(1(z0))))))))))))), 0'(1(2(2(2(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))
   0'(2(c_1(c_1(2(c_0(2(2(2(c_0(c_1(2(c_0(2(c_0(2(2(c_0(c_0(c_1(z0)))))))))))))))))))) -> c92(0'(0(2(1(2(0(0(0(2(0(1(2(2(2(1(0(1(1(1(0(z0)))))))))))))))))))), 0'(2(1(2(0(0(0(2(0(1(2(2(2(1(0(1(1(1(0(z0))))))))))))))))))), 1'(2(0(0(0(2(0(1(2(2(2(1(0(1(1(1(0(z0))))))))))))))))), 0'(0(0(2(0(1(2(2(2(1(0(1(1(1(0(z0))))))))))))))), 0'(0(2(0(1(2(2(2(1(0(1(1(1(0(z0)))))))))))))), 0'(2(0(1(2(2(2(1(0(1(1(1(0(z0))))))))))))), 0'(1(2(2(2(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))
   0'(c_1(2(c_1(c_0(c_1(2(2(c_1(c_1(c_0(c_0(c_1(c_1(2(2(c_1(c_0(c_1(c_1(z0)))))))))))))))))))) -> c96(0'(2(2(2(0(2(0(2(0(1(2(1(2(2(2(1(0(0(1(0(z0)))))))))))))))))))), 0'(2(0(2(0(1(2(1(2(2(2(1(0(0(1(0(z0)))))))))))))))), 0'(2(0(1(2(1(2(2(2(1(0(0(1(0(z0)))))))))))))), 0'(1(2(1(2(2(2(1(0(0(1(0(z0)))))))))))), 1'(2(1(2(2(2(1(0(0(1(0(z0))))))))))), 1'(0(0(1(0(z0))))), 0'(0(1(0(z0)))), 0'(1(0(z0))), 1'(0(z0)), 0'(z0))
   0'(2(2(c_1(c_1(2(2(c_1(c_0(2(c_1(2(c_1(c_1(2(2(2(c_0(2(c_0(z0)))))))))))))))))))) -> c97(0'(2(1(2(2(2(1(0(0(1(0(0(0(1(2(1(1(2(2(1(z0)))))))))))))))))))), 1'(0(0(1(0(0(0(1(2(1(1(2(2(1(z0)))))))))))))), 0'(0(1(0(0(0(1(2(1(1(2(2(1(z0))))))))))))), 0'(1(0(0(0(1(2(1(1(2(2(1(z0)))))))))))), 1'(0(0(0(1(2(1(1(2(2(1(z0))))))))))), 0'(0(0(1(2(1(1(2(2(1(z0)))))))))), 0'(0(1(2(1(1(2(2(1(z0))))))))), 0'(1(2(1(1(2(2(1(z0)))))))), 1'(2(1(1(2(2(1(z0))))))), 1'(1(2(2(1(z0))))), 1'(2(2(1(z0)))), 1'(z0))
   ENCODE_0(z0) -> c5(0'(encArg(z0)))
   ENCODE_1(z0) -> c5(1'(encArg(z0)))
S tuples:
   0'(c_0(c_1(c_0(2(2(c_1(2(c_0(c_0(c_1(c_1(2(2(2(c_1(c_1(2(c_1(c_1(z0)))))))))))))))))))) -> c7(0'(2(0(2(2(0(0(1(2(0(2(0(0(1(1(0(0(2(1(1(z0)))))))))))))))))))), 0'(2(2(0(0(1(2(0(2(0(0(1(1(0(0(2(1(1(z0)))))))))))))))))), 0'(0(1(2(0(2(0(0(1(1(0(0(2(1(1(z0))))))))))))))), 0'(1(2(0(2(0(0(1(1(0(0(2(1(1(z0)))))))))))))), 1'(2(0(2(0(0(1(1(0(0(2(1(1(z0))))))))))))), 0'(2(0(0(1(1(0(0(2(1(1(z0))))))))))), 0'(0(1(1(0(0(2(1(1(z0))))))))), 0'(1(1(0(0(2(1(1(z0)))))))), 1'(1(0(0(2(1(1(z0))))))), 1'(0(0(2(1(1(z0)))))), 0'(0(2(1(1(z0))))), 0'(2(1(1(z0)))), 1'(1(z0)), 1'(z0))
   0'(c_1(c_0(c_1(2(c_1(c_1(c_1(c_0(c_0(c_1(c_1(2(2(2(c_0(2(c_0(c_1(2(z0)))))))))))))))))))) -> c8(0'(2(1(1(2(1(0(2(0(1(1(0(2(0(1(0(2(2(0(2(z0)))))))))))))))))))), 1'(1(2(1(0(2(0(1(1(0(2(0(1(0(2(2(0(2(z0)))))))))))))))))), 1'(2(1(0(2(0(1(1(0(2(0(1(0(2(2(0(2(z0))))))))))))))))), 1'(0(2(0(1(1(0(2(0(1(0(2(2(0(2(z0))))))))))))))), 0'(2(0(1(1(0(2(0(1(0(2(2(0(2(z0)))))))))))))), 0'(1(1(0(2(0(1(0(2(2(0(2(z0)))))))))))), 1'(1(0(2(0(1(0(2(2(0(2(z0))))))))))), 1'(0(2(0(1(0(2(2(0(2(z0)))))))))), 0'(2(0(1(0(2(2(0(2(z0))))))))), 0'(1(0(2(2(0(2(z0))))))), 1'(0(2(2(0(2(z0)))))), 0'(2(2(0(2(z0))))), 0'(2(z0)))
   0'(c_1(c_0(2(2(c_1(c_1(c_0(c_1(c_0(2(2(c_1(c_0(2(c_0(c_1(c_0(c_1(c_1(z0)))))))))))))))))))) -> c10(0'(1(2(0(0(2(2(0(0(0(0(2(1(2(1(0(1(2(0(2(z0)))))))))))))))))))), 1'(2(0(0(2(2(0(0(0(0(2(1(2(1(0(1(2(0(2(z0))))))))))))))))))), 0'(0(2(2(0(0(0(0(2(1(2(1(0(1(2(0(2(z0))))))))))))))))), 0'(2(2(0(0(0(0(2(1(2(1(0(1(2(0(2(z0)))))))))))))))), 0'(0(0(0(2(1(2(1(0(1(2(0(2(z0))))))))))))), 0'(0(0(2(1(2(1(0(1(2(0(2(z0)))))))))))), 0'(0(2(1(2(1(0(1(2(0(2(z0))))))))))), 0'(2(1(2(1(0(1(2(0(2(z0)))))))))), 1'(2(1(0(1(2(0(2(z0)))))))), 1'(0(1(2(0(2(z0)))))), 0'(1(2(0(2(z0))))), 1'(2(0(2(z0)))), 0'(2(z0)))
   0'(2(c_1(2(c_0(c_1(c_1(c_1(2(c_0(c_1(c_1(2(c_1(2(c_0(2(c_0(2(c_0(z0)))))))))))))))))))) -> c11(0'(1(2(1(1(0(1(1(2(1(2(0(1(0(1(2(2(0(2(2(z0)))))))))))))))))))), 1'(2(1(1(0(1(1(2(1(2(0(1(0(1(2(2(0(2(2(z0))))))))))))))))))), 1'(1(0(1(1(2(1(2(0(1(0(1(2(2(0(2(2(z0))))))))))))))))), 1'(0(1(1(2(1(2(0(1(0(1(2(2(0(2(2(z0)))))))))))))))), 0'(1(1(2(1(2(0(1(0(1(2(2(0(2(2(z0))))))))))))))), 1'(1(2(1(2(0(1(0(1(2(2(0(2(2(z0)))))))))))))), 1'(2(1(2(0(1(0(1(2(2(0(2(2(z0))))))))))))), 1'(2(0(1(0(1(2(2(0(2(2(z0))))))))))), 0'(1(0(1(2(2(0(2(2(z0))))))))), 1'(0(1(2(2(0(2(2(z0)))))))), 0'(1(2(2(0(2(2(z0))))))), 1'(2(2(0(2(2(z0)))))), 0'(2(2(z0))))
   0'(c_0(c_1(c_0(c_0(c_1(c_1(2(c_1(c_1(2(2(c_1(c_1(2(2(c_1(c_1(c_0(2(z0)))))))))))))))))))) -> c12(0'(1(1(0(0(2(0(0(2(0(2(1(1(1(1(1(0(2(0(2(z0)))))))))))))))))))), 1'(1(0(0(2(0(0(2(0(2(1(1(1(1(1(0(2(0(2(z0))))))))))))))))))), 1'(0(0(2(0(0(2(0(2(1(1(1(1(1(0(2(0(2(z0)))))))))))))))))), 0'(0(2(0(0(2(0(2(1(1(1(1(1(0(2(0(2(z0))))))))))))))))), 0'(2(0(0(2(0(2(1(1(1(1(1(0(2(0(2(z0)))))))))))))))), 0'(0(2(0(2(1(1(1(1(1(0(2(0(2(z0)))))))))))))), 0'(2(0(2(1(1(1(1(1(0(2(0(2(z0))))))))))))), 0'(2(1(1(1(1(1(0(2(0(2(z0))))))))))), 1'(1(1(1(1(0(2(0(2(z0))))))))), 1'(1(1(1(0(2(0(2(z0)))))))), 1'(1(1(0(2(0(2(z0))))))), 1'(1(0(2(0(2(z0)))))), 1'(0(2(0(2(z0))))), 0'(2(0(2(z0)))), 0'(2(z0)))
   0'(c_1(c_1(c_0(c_1(c_0(2(c_1(c_1(2(2(c_0(2(c_0(2(c_0(2(2(c_0(c_1(z0)))))))))))))))))))) -> c13(0'(2(0(2(1(0(0(1(2(2(1(2(2(1(2(2(1(2(2(0(z0)))))))))))))))))))), 0'(2(1(0(0(1(2(2(1(2(2(1(2(2(1(2(2(0(z0)))))))))))))))))), 1'(0(0(1(2(2(1(2(2(1(2(2(1(2(2(0(z0)))))))))))))))), 0'(0(1(2(2(1(2(2(1(2(2(1(2(2(0(z0))))))))))))))), 0'(1(2(2(1(2(2(1(2(2(1(2(2(0(z0)))))))))))))), 1'(2(2(1(2(2(1(2(2(1(2(2(0(z0))))))))))))), 1'(2(2(1(2(2(1(2(2(0(z0)))))))))), 1'(2(2(1(2(2(0(z0))))))), 1'(2(2(0(z0)))), 0'(z0))
   0'(c_1(c_0(c_1(c_1(c_1(c_1(2(c_0(2(2(2(2(2(2(c_1(c_0(2(c_0(c_1(z0)))))))))))))))))))) -> c14(0'(0(0(2(2(1(0(0(1(2(1(0(2(2(1(0(0(2(2(1(z0)))))))))))))))))))), 0'(0(2(2(1(0(0(1(2(1(0(2(2(1(0(0(2(2(1(z0))))))))))))))))))), 0'(2(2(1(0(0(1(2(1(0(2(2(1(0(0(2(2(1(z0)))))))))))))))))), 1'(0(0(1(2(1(0(2(2(1(0(0(2(2(1(z0))))))))))))))), 0'(0(1(2(1(0(2(2(1(0(0(2(2(1(z0)))))))))))))), 0'(1(2(1(0(2(2(1(0(0(2(2(1(z0))))))))))))), 1'(2(1(0(2(2(1(0(0(2(2(1(z0)))))))))))), 1'(0(2(2(1(0(0(2(2(1(z0)))))))))), 0'(2(2(1(0(0(2(2(1(z0))))))))), 1'(0(0(2(2(1(z0)))))), 0'(0(2(2(1(z0))))), 0'(2(2(1(z0)))), 1'(z0))
   0'(c_0(2(2(c_0(c_0(c_1(c_0(2(2(c_1(c_1(2(2(c_1(c_0(2(2(c_0(c_1(z0)))))))))))))))))))) -> c15(0'(2(0(2(2(1(0(0(2(2(1(2(1(1(0(0(2(0(2(1(z0)))))))))))))))))))), 0'(2(2(1(0(0(2(2(1(2(1(1(0(0(2(0(2(1(z0)))))))))))))))))), 1'(0(0(2(2(1(2(1(1(0(0(2(0(2(1(z0))))))))))))))), 0'(0(2(2(1(2(1(1(0(0(2(0(2(1(z0)))))))))))))), 0'(2(2(1(2(1(1(0(0(2(0(2(1(z0))))))))))))), 1'(2(1(1(0(0(2(0(2(1(z0)))))))))), 1'(1(0(0(2(0(2(1(z0)))))))), 1'(0(0(2(0(2(1(z0))))))), 0'(0(2(0(2(1(z0)))))), 0'(2(0(2(1(z0))))), 0'(2(1(z0))), 1'(z0))
   0'(c_0(2(2(c_1(c_1(c_1(c_0(c_1(c_0(c_1(c_0(c_1(2(2(2(c_1(2(c_0(c_0(z0)))))))))))))))))))) -> c16(0'(1(0(2(0(2(2(1(0(1(0(2(1(2(1(0(1(1(1(2(z0)))))))))))))))))))), 1'(0(2(0(2(2(1(0(1(0(2(1(2(1(0(1(1(1(2(z0))))))))))))))))))), 0'(2(0(2(2(1(0(1(0(2(1(2(1(0(1(1(1(2(z0)))))))))))))))))), 0'(2(2(1(0(1(0(2(1(2(1(0(1(1(1(2(z0)))))))))))))))), 1'(0(1(0(2(1(2(1(0(1(1(1(2(z0))))))))))))), 0'(1(0(2(1(2(1(0(1(1(1(2(z0)))))))))))), 1'(0(2(1(2(1(0(1(1(1(2(z0))))))))))), 0'(2(1(2(1(0(1(1(1(2(z0)))))))))), 1'(2(1(0(1(1(1(2(z0)))))))), 1'(0(1(1(1(2(z0)))))), 0'(1(1(1(2(z0))))), 1'(1(1(2(z0)))), 1'(1(2(z0))), 1'(2(z0)))
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   0'(c_1(c_1(c_0(2(2(c_0(c_1(2(2(2(c_0(2(2(c_1(2(c_1(2(c_1(c_0(z0)))))))))))))))))))) -> c24(0'(0(2(0(0(2(0(2(1(0(2(2(2(0(0(0(2(1(1(2(z0)))))))))))))))))))), 0'(2(0(0(2(0(2(1(0(2(2(2(0(0(0(2(1(1(2(z0))))))))))))))))))), 0'(0(2(0(2(1(0(2(2(2(0(0(0(2(1(1(2(z0))))))))))))))))), 0'(2(0(2(1(0(2(2(2(0(0(0(2(1(1(2(z0)))))))))))))))), 0'(2(1(0(2(2(2(0(0(0(2(1(1(2(z0)))))))))))))), 1'(0(2(2(2(0(0(0(2(1(1(2(z0)))))))))))), 0'(2(2(2(0(0(0(2(1(1(2(z0))))))))))), 0'(0(0(2(1(1(2(z0))))))), 0'(0(2(1(1(2(z0)))))), 0'(2(1(1(2(z0))))), 1'(1(2(z0))), 1'(2(z0)))
   0'(c_1(c_0(2(c_0(c_0(c_1(2(2(2(c_1(2(2(2(c_0(c_0(c_0(c_1(2(2(z0)))))))))))))))))))) -> c25(0'(1(0(1(1(2(1(0(0(1(0(0(2(2(2(1(0(2(0(0(z0)))))))))))))))))))), 1'(0(1(1(2(1(0(0(1(0(0(2(2(2(1(0(2(0(0(z0))))))))))))))))))), 0'(1(1(2(1(0(0(1(0(0(2(2(2(1(0(2(0(0(z0)))))))))))))))))), 1'(1(2(1(0(0(1(0(0(2(2(2(1(0(2(0(0(z0))))))))))))))))), 1'(2(1(0(0(1(0(0(2(2(2(1(0(2(0(0(z0)))))))))))))))), 1'(0(0(1(0(0(2(2(2(1(0(2(0(0(z0)))))))))))))), 0'(0(1(0(0(2(2(2(1(0(2(0(0(z0))))))))))))), 0'(1(0(0(2(2(2(1(0(2(0(0(z0)))))))))))), 1'(0(0(2(2(2(1(0(2(0(0(z0))))))))))), 0'(0(2(2(2(1(0(2(0(0(z0)))))))))), 0'(2(2(2(1(0(2(0(0(z0))))))))), 1'(0(2(0(0(z0))))), 0'(2(0(0(z0)))), 0'(0(z0)), 0'(z0))
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   0'(c_0(2(c_0(c_0(c_0(2(c_1(2(2(2(c_1(c_1(c_1(c_0(2(c_1(c_1(c_0(c_0(z0)))))))))))))))))))) -> c27(0'(2(0(1(2(0(1(2(0(1(0(1(2(2(1(2(1(0(0(0(z0)))))))))))))))))))), 0'(1(2(0(1(2(0(1(0(1(2(2(1(2(1(0(0(0(z0)))))))))))))))))), 1'(2(0(1(2(0(1(0(1(2(2(1(2(1(0(0(0(z0))))))))))))))))), 0'(1(2(0(1(0(1(2(2(1(2(1(0(0(0(z0))))))))))))))), 1'(2(0(1(0(1(2(2(1(2(1(0(0(0(z0)))))))))))))), 0'(1(0(1(2(2(1(2(1(0(0(0(z0)))))))))))), 1'(0(1(2(2(1(2(1(0(0(0(z0))))))))))), 0'(1(2(2(1(2(1(0(0(0(z0)))))))))), 1'(2(2(1(2(1(0(0(0(z0))))))))), 1'(2(1(0(0(0(z0)))))), 1'(0(0(0(z0)))), 0'(0(0(z0))), 0'(0(z0)), 0'(z0))
   0'(c_1(c_0(2(c_1(c_1(c_1(c_0(2(2(c_1(c_1(c_1(c_1(2(c_0(2(c_1(c_0(c_0(z0)))))))))))))))))))) -> c28(0'(2(1(0(2(0(0(1(2(2(0(0(0(1(1(1(1(0(2(2(z0)))))))))))))))))))), 1'(0(2(0(0(1(2(2(0(0(0(1(1(1(1(0(2(2(z0)))))))))))))))))), 0'(2(0(0(1(2(2(0(0(0(1(1(1(1(0(2(2(z0))))))))))))))))), 0'(0(1(2(2(0(0(0(1(1(1(1(0(2(2(z0))))))))))))))), 0'(1(2(2(0(0(0(1(1(1(1(0(2(2(z0)))))))))))))), 1'(2(2(0(0(0(1(1(1(1(0(2(2(z0))))))))))))), 0'(0(0(1(1(1(1(0(2(2(z0)))))))))), 0'(0(1(1(1(1(0(2(2(z0))))))))), 0'(1(1(1(1(0(2(2(z0)))))))), 1'(1(1(1(0(2(2(z0))))))), 1'(1(1(0(2(2(z0)))))), 1'(1(0(2(2(z0))))), 1'(0(2(2(z0)))), 0'(2(2(z0))))
   0'(2(c_1(c_1(c_0(2(c_1(c_1(c_1(c_1(2(2(c_0(c_1(c_1(c_1(2(2(c_1(c_1(z0)))))))))))))))))))) -> c29(0'(0(2(0(0(1(0(2(2(1(0(1(1(0(0(2(0(2(2(1(z0)))))))))))))))))))), 0'(2(0(0(1(0(2(2(1(0(1(1(0(0(2(0(2(2(1(z0))))))))))))))))))), 0'(0(1(0(2(2(1(0(1(1(0(0(2(0(2(2(1(z0))))))))))))))))), 0'(1(0(2(2(1(0(1(1(0(0(2(0(2(2(1(z0)))))))))))))))), 1'(0(2(2(1(0(1(1(0(0(2(0(2(2(1(z0))))))))))))))), 0'(2(2(1(0(1(1(0(0(2(0(2(2(1(z0)))))))))))))), 1'(0(1(1(0(0(2(0(2(2(1(z0))))))))))), 0'(1(1(0(0(2(0(2(2(1(z0)))))))))), 1'(1(0(0(2(0(2(2(1(z0))))))))), 1'(0(0(2(0(2(2(1(z0)))))))), 0'(0(2(0(2(2(1(z0))))))), 0'(2(0(2(2(1(z0)))))), 0'(2(2(1(z0)))), 1'(z0))
   0'(c_0(2(2(2(c_0(c_1(c_0(c_1(c_1(c_1(c_0(c_1(c_0(c_0(c_0(c_1(c_1(2(c_0(z0)))))))))))))))))))) -> c30(0'(2(0(2(2(2(2(0(2(2(1(0(0(0(0(0(0(2(0(0(z0)))))))))))))))))))), 0'(2(2(2(2(0(2(2(1(0(0(0(0(0(0(2(0(0(z0)))))))))))))))))), 0'(2(2(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)))), 0'(0(z0)), 0'(z0))
   0'(2(c_0(2(c_1(2(c_1(2(2(c_0(2(c_1(c_1(c_1(2(c_1(c_1(c_1(c_1(c_1(z0)))))))))))))))))))) -> c32(0'(1(1(1(0(2(1(0(1(2(1(0(0(0(2(1(1(2(0(1(z0)))))))))))))))))))), 1'(1(1(0(2(1(0(1(2(1(0(0(0(2(1(1(2(0(1(z0))))))))))))))))))), 1'(1(0(2(1(0(1(2(1(0(0(0(2(1(1(2(0(1(z0)))))))))))))))))), 1'(0(2(1(0(1(2(1(0(0(0(2(1(1(2(0(1(z0))))))))))))))))), 0'(2(1(0(1(2(1(0(0(0(2(1(1(2(0(1(z0)))))))))))))))), 1'(0(1(2(1(0(0(0(2(1(1(2(0(1(z0)))))))))))))), 0'(1(2(1(0(0(0(2(1(1(2(0(1(z0))))))))))))), 1'(2(1(0(0(0(2(1(1(2(0(1(z0)))))))))))), 1'(0(0(0(2(1(1(2(0(1(z0)))))))))), 0'(0(0(2(1(1(2(0(1(z0))))))))), 0'(0(2(1(1(2(0(1(z0)))))))), 0'(2(1(1(2(0(1(z0))))))), 1'(1(2(0(1(z0))))), 1'(2(0(1(z0)))), 0'(1(z0)), 1'(z0))
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   0'(c_1(2(c_0(c_0(c_1(2(c_0(2(c_0(c_0(c_1(c_0(2(c_0(c_0(2(c_1(2(c_0(z0)))))))))))))))))))) -> c44(0'(2(1(2(0(0(0(2(0(0(2(1(2(2(0(2(2(0(0(0(z0)))))))))))))))))))), 1'(2(0(0(0(2(0(0(2(1(2(2(0(2(2(0(0(0(z0)))))))))))))))))), 0'(0(0(2(0(0(2(1(2(2(0(2(2(0(0(0(z0)))))))))))))))), 0'(0(2(0(0(2(1(2(2(0(2(2(0(0(0(z0))))))))))))))), 0'(2(0(0(2(1(2(2(0(2(2(0(0(0(z0)))))))))))))), 0'(0(2(1(2(2(0(2(2(0(0(0(z0)))))))))))), 0'(2(1(2(2(0(2(2(0(0(0(z0))))))))))), 1'(2(2(0(2(2(0(0(0(z0))))))))), 0'(2(2(0(0(0(z0)))))), 0'(0(0(z0))), 0'(0(z0)), 0'(z0))
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   0'(2(2(c_1(2(c_0(c_1(c_1(c_0(c_0(c_1(c_1(2(c_0(c_1(c_1(c_0(2(2(2(z0)))))))))))))))))))) -> c76(0'(2(2(2(0(2(0(0(2(2(0(0(2(1(1(0(0(2(1(1(z0)))))))))))))))))))), 0'(2(0(0(2(2(0(0(2(1(1(0(0(2(1(1(z0)))))))))))))))), 0'(0(2(2(0(0(2(1(1(0(0(2(1(1(z0)))))))))))))), 0'(2(2(0(0(2(1(1(0(0(2(1(1(z0))))))))))))), 0'(0(2(1(1(0(0(2(1(1(z0)))))))))), 0'(2(1(1(0(0(2(1(1(z0))))))))), 1'(1(0(0(2(1(1(z0))))))), 1'(0(0(2(1(1(z0)))))), 0'(0(2(1(1(z0))))), 0'(2(1(1(z0)))), 1'(1(z0)), 1'(z0))
   0'(2(c_0(c_0(c_1(c_0(2(c_1(c_0(2(2(c_0(c_1(c_0(2(c_1(2(c_1(c_1(2(z0)))))))))))))))))))) -> c77(0'(2(1(0(2(1(0(2(1(2(1(0(1(2(0(1(0(0(0(0(z0)))))))))))))))))))), 1'(0(2(1(0(2(1(2(1(0(1(2(0(1(0(0(0(0(z0)))))))))))))))))), 0'(2(1(0(2(1(2(1(0(1(2(0(1(0(0(0(0(z0))))))))))))))))), 1'(0(2(1(2(1(0(1(2(0(1(0(0(0(0(z0))))))))))))))), 0'(2(1(2(1(0(1(2(0(1(0(0(0(0(z0)))))))))))))), 1'(2(1(0(1(2(0(1(0(0(0(0(z0)))))))))))), 1'(0(1(2(0(1(0(0(0(0(z0)))))))))), 0'(1(2(0(1(0(0(0(0(z0))))))))), 1'(2(0(1(0(0(0(0(z0)))))))), 0'(1(0(0(0(0(z0)))))), 1'(0(0(0(0(z0))))), 0'(0(0(0(z0)))), 0'(0(0(z0))), 0'(0(z0)), 0'(z0))
   0'(2(2(c_1(c_0(c_0(c_1(c_1(2(c_0(2(2(c_0(c_1(c_1(2(2(c_1(c_0(c_0(z0)))))))))))))))))))) -> c78(0'(2(1(0(2(2(0(0(0(0(0(1(2(1(0(1(1(2(1(1(z0)))))))))))))))))))), 1'(0(2(2(0(0(0(0(0(1(2(1(0(1(1(2(1(1(z0)))))))))))))))))), 0'(2(2(0(0(0(0(0(1(2(1(0(1(1(2(1(1(z0))))))))))))))))), 0'(0(0(0(0(1(2(1(0(1(1(2(1(1(z0)))))))))))))), 0'(0(0(0(1(2(1(0(1(1(2(1(1(z0))))))))))))), 0'(0(0(1(2(1(0(1(1(2(1(1(z0)))))))))))), 0'(0(1(2(1(0(1(1(2(1(1(z0))))))))))), 0'(1(2(1(0(1(1(2(1(1(z0)))))))))), 1'(2(1(0(1(1(2(1(1(z0))))))))), 1'(0(1(1(2(1(1(z0))))))), 0'(1(1(2(1(1(z0)))))), 1'(1(2(1(1(z0))))), 1'(2(1(1(z0)))), 1'(1(z0)), 1'(z0))
   0'(c_1(2(2(2(2(2(2(2(c_1(c_0(2(2(c_1(c_1(2(c_1(2(c_1(c_1(z0)))))))))))))))))))) -> c79(0'(2(1(0(2(1(0(1(2(0(0(0(1(2(0(0(0(0(0(1(z0)))))))))))))))))))), 1'(0(2(1(0(1(2(0(0(0(1(2(0(0(0(0(0(1(z0)))))))))))))))))), 0'(2(1(0(1(2(0(0(0(1(2(0(0(0(0(0(1(z0))))))))))))))))), 1'(0(1(2(0(0(0(1(2(0(0(0(0(0(1(z0))))))))))))))), 0'(1(2(0(0(0(1(2(0(0(0(0(0(1(z0)))))))))))))), 1'(2(0(0(0(1(2(0(0(0(0(0(1(z0))))))))))))), 0'(0(0(1(2(0(0(0(0(0(1(z0))))))))))), 0'(0(1(2(0(0(0(0(0(1(z0)))))))))), 0'(1(2(0(0(0(0(0(1(z0))))))))), 1'(2(0(0(0(0(0(1(z0)))))))), 0'(0(0(0(0(1(z0)))))), 0'(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(2(c_0(2(c_1(2(c_1(2(2(c_0(2(c_1(2(2(c_1(c_1(c_0(z0)))))))))))))))))))) -> c80(0'(2(0(1(1(1(0(1(0(1(2(0(2(2(1(0(2(0(0(2(z0)))))))))))))))))))), 0'(1(1(1(0(1(0(1(2(0(2(2(1(0(2(0(0(2(z0)))))))))))))))))), 1'(1(1(0(1(0(1(2(0(2(2(1(0(2(0(0(2(z0))))))))))))))))), 1'(1(0(1(0(1(2(0(2(2(1(0(2(0(0(2(z0)))))))))))))))), 1'(0(1(0(1(2(0(2(2(1(0(2(0(0(2(z0))))))))))))))), 0'(1(0(1(2(0(2(2(1(0(2(0(0(2(z0)))))))))))))), 1'(0(1(2(0(2(2(1(0(2(0(0(2(z0))))))))))))), 0'(1(2(0(2(2(1(0(2(0(0(2(z0)))))))))))), 1'(2(0(2(2(1(0(2(0(0(2(z0))))))))))), 0'(2(2(1(0(2(0(0(2(z0))))))))), 1'(0(2(0(0(2(z0)))))), 0'(2(0(0(2(z0))))), 0'(0(2(z0))), 0'(2(z0)))
   0'(2(c_1(c_1(2(c_1(2(2(2(c_0(c_0(c_1(c_0(2(c_1(c_1(c_1(2(2(c_0(z0)))))))))))))))))))) -> c83(0'(0(0(2(1(0(1(2(1(2(1(1(1(2(0(0(0(1(1(0(z0)))))))))))))))))))), 0'(0(2(1(0(1(2(1(2(1(1(1(2(0(0(0(1(1(0(z0))))))))))))))))))), 0'(2(1(0(1(2(1(2(1(1(1(2(0(0(0(1(1(0(z0)))))))))))))))))), 1'(0(1(2(1(2(1(1(1(2(0(0(0(1(1(0(z0)))))))))))))))), 0'(1(2(1(2(1(1(1(2(0(0(0(1(1(0(z0))))))))))))))), 1'(2(1(2(1(1(1(2(0(0(0(1(1(0(z0)))))))))))))), 1'(2(1(1(1(2(0(0(0(1(1(0(z0)))))))))))), 1'(1(1(2(0(0(0(1(1(0(z0)))))))))), 1'(1(2(0(0(0(1(1(0(z0))))))))), 1'(2(0(0(0(1(1(0(z0)))))))), 0'(0(0(1(1(0(z0)))))), 0'(0(1(1(0(z0))))), 0'(1(1(0(z0)))), 1'(1(0(z0))), 1'(0(z0)), 0'(z0))
   0'(c_1(2(c_0(c_0(2(c_1(c_1(c_0(2(c_1(c_0(c_1(c_1(c_1(c_0(c_1(c_1(c_0(c_0(z0)))))))))))))))))))) -> c84(0'(0(0(2(0(1(1(2(2(0(2(0(0(2(1(0(0(2(1(1(z0)))))))))))))))))))), 0'(0(2(0(1(1(2(2(0(2(0(0(2(1(0(0(2(1(1(z0))))))))))))))))))), 0'(2(0(1(1(2(2(0(2(0(0(2(1(0(0(2(1(1(z0)))))))))))))))))), 0'(1(1(2(2(0(2(0(0(2(1(0(0(2(1(1(z0)))))))))))))))), 1'(1(2(2(0(2(0(0(2(1(0(0(2(1(1(z0))))))))))))))), 1'(2(2(0(2(0(0(2(1(0(0(2(1(1(z0)))))))))))))), 0'(2(0(0(2(1(0(0(2(1(1(z0))))))))))), 0'(0(2(1(0(0(2(1(1(z0))))))))), 0'(2(1(0(0(2(1(1(z0)))))))), 1'(0(0(2(1(1(z0)))))), 0'(0(2(1(1(z0))))), 0'(2(1(1(z0)))), 1'(1(z0)), 1'(z0))
   0'(c_0(c_1(c_0(2(2(2(2(c_1(c_0(2(c_1(c_0(2(2(c_0(c_1(c_1(2(c_1(z0)))))))))))))))))))) -> c85(0'(0(1(0(0(0(0(2(2(2(2(0(0(0(1(0(0(2(1(1(z0)))))))))))))))))))), 0'(1(0(0(0(0(2(2(2(2(0(0(0(1(0(0(2(1(1(z0))))))))))))))))))), 1'(0(0(0(0(2(2(2(2(0(0(0(1(0(0(2(1(1(z0)))))))))))))))))), 0'(0(0(0(2(2(2(2(0(0(0(1(0(0(2(1(1(z0))))))))))))))))), 0'(0(0(2(2(2(2(0(0(0(1(0(0(2(1(1(z0)))))))))))))))), 0'(0(2(2(2(2(0(0(0(1(0(0(2(1(1(z0))))))))))))))), 0'(2(2(2(2(0(0(0(1(0(0(2(1(1(z0)))))))))))))), 0'(0(0(1(0(0(2(1(1(z0))))))))), 0'(0(1(0(0(2(1(1(z0)))))))), 0'(1(0(0(2(1(1(z0))))))), 1'(0(0(2(1(1(z0)))))), 0'(0(2(1(1(z0))))), 0'(2(1(1(z0)))), 1'(1(z0)), 1'(z0))
   0'(c_0(c_0(c_1(2(c_0(2(2(c_1(c_1(c_0(c_1(c_0(c_1(2(c_0(c_1(c_1(c_1(c_1(z0)))))))))))))))))))) -> c88(0'(1(2(0(1(2(1(0(1(0(1(0(2(0(1(1(1(1(0(2(z0)))))))))))))))))))), 1'(2(0(1(2(1(0(1(0(1(0(2(0(1(1(1(1(0(2(z0))))))))))))))))))), 0'(1(2(1(0(1(0(1(0(2(0(1(1(1(1(0(2(z0))))))))))))))))), 1'(2(1(0(1(0(1(0(2(0(1(1(1(1(0(2(z0)))))))))))))))), 1'(0(1(0(1(0(2(0(1(1(1(1(0(2(z0)))))))))))))), 0'(1(0(1(0(2(0(1(1(1(1(0(2(z0))))))))))))), 1'(0(1(0(2(0(1(1(1(1(0(2(z0)))))))))))), 0'(1(0(2(0(1(1(1(1(0(2(z0))))))))))), 1'(0(2(0(1(1(1(1(0(2(z0)))))))))), 0'(2(0(1(1(1(1(0(2(z0))))))))), 0'(1(1(1(1(0(2(z0))))))), 1'(1(1(1(0(2(z0)))))), 1'(1(1(0(2(z0))))), 1'(1(0(2(z0)))), 1'(0(2(z0))), 0'(2(z0)))
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   0'(c_1(c_0(c_1(c_1(2(c_1(c_0(c_0(c_0(2(2(2(c_1(2(c_1(2(c_1(c_0(2(z0)))))))))))))))))))) -> c102(0'(1(0(0(2(2(1(2(1(0(1(0(0(0(2(0(0(2(1(2(z0)))))))))))))))))))), 1'(0(0(2(2(1(2(1(0(1(0(0(0(2(0(0(2(1(2(z0))))))))))))))))))), 0'(0(2(2(1(2(1(0(1(0(0(0(2(0(0(2(1(2(z0)))))))))))))))))), 0'(2(2(1(2(1(0(1(0(0(0(2(0(0(2(1(2(z0))))))))))))))))), 1'(2(1(0(1(0(0(0(2(0(0(2(1(2(z0)))))))))))))), 1'(0(1(0(0(0(2(0(0(2(1(2(z0)))))))))))), 0'(1(0(0(0(2(0(0(2(1(2(z0))))))))))), 1'(0(0(0(2(0(0(2(1(2(z0)))))))))), 0'(0(0(2(0(0(2(1(2(z0))))))))), 0'(0(2(0(0(2(1(2(z0)))))))), 0'(2(0(0(2(1(2(z0))))))), 0'(0(2(1(2(z0))))), 0'(2(1(2(z0)))), 1'(2(z0)))
   0'(c_0(c_1(c_0(2(c_1(2(2(2(2(c_0(c_1(2(c_0(c_1(c_1(2(2(c_0(2(z0)))))))))))))))))))) -> c103(0'(0(2(1(1(0(0(2(2(2(0(1(2(2(0(1(2(2(0(2(z0)))))))))))))))))))), 0'(2(1(1(0(0(2(2(2(0(1(2(2(0(1(2(2(0(2(z0))))))))))))))))))), 1'(1(0(0(2(2(2(0(1(2(2(0(1(2(2(0(2(z0))))))))))))))))), 1'(0(0(2(2(2(0(1(2(2(0(1(2(2(0(2(z0)))))))))))))))), 0'(0(2(2(2(0(1(2(2(0(1(2(2(0(2(z0))))))))))))))), 0'(2(2(2(0(1(2(2(0(1(2(2(0(2(z0)))))))))))))), 0'(1(2(2(0(1(2(2(0(2(z0)))))))))), 1'(2(2(0(1(2(2(0(2(z0))))))))), 0'(1(2(2(0(2(z0)))))), 1'(2(2(0(2(z0))))), 0'(2(z0)))
   0'(c_1(c_1(c_0(c_1(2(c_1(2(c_0(2(2(c_1(c_0(c_0(2(c_0(c_1(c_0(c_1(c_1(z0)))))))))))))))))))) -> c104(0'(0(0(1(2(0(2(2(2(0(1(0(1(2(1(1(1(0(2(0(z0)))))))))))))))))))), 0'(0(1(2(0(2(2(2(0(1(0(1(2(1(1(1(0(2(0(z0))))))))))))))))))), 0'(1(2(0(2(2(2(0(1(0(1(2(1(1(1(0(2(0(z0)))))))))))))))))), 1'(2(0(2(2(2(0(1(0(1(2(1(1(1(0(2(0(z0))))))))))))))))), 0'(2(2(2(0(1(0(1(2(1(1(1(0(2(0(z0))))))))))))))), 0'(1(0(1(2(1(1(1(0(2(0(z0))))))))))), 1'(0(1(2(1(1(1(0(2(0(z0)))))))))), 0'(1(2(1(1(1(0(2(0(z0))))))))), 1'(2(1(1(1(0(2(0(z0)))))))), 1'(1(1(0(2(0(z0)))))), 1'(1(0(2(0(z0))))), 1'(0(2(0(z0)))), 0'(2(0(z0))), 0'(z0))
   1'(2(2(c_0(2(c_0(2(c_1(2(c_1(2(c_1(c_0(c_0(c_1(c_0(c_0(2(c_0(c_1(z0)))))))))))))))))))) -> c106(1'(0(1(2(0(1(0(0(1(0(0(0(2(1(0(0(1(0(0(2(z0)))))))))))))))))))), 0'(1(2(0(1(0(0(1(0(0(0(2(1(0(0(1(0(0(2(z0))))))))))))))))))), 1'(2(0(1(0(0(1(0(0(0(2(1(0(0(1(0(0(2(z0)))))))))))))))))), 0'(1(0(0(1(0(0(0(2(1(0(0(1(0(0(2(z0)))))))))))))))), 1'(0(0(1(0(0(0(2(1(0(0(1(0(0(2(z0))))))))))))))), 0'(0(1(0(0(0(2(1(0(0(1(0(0(2(z0)))))))))))))), 0'(1(0(0(0(2(1(0(0(1(0(0(2(z0))))))))))))), 1'(0(0(0(2(1(0(0(1(0(0(2(z0)))))))))))), 0'(0(0(2(1(0(0(1(0(0(2(z0))))))))))), 0'(0(2(1(0(0(1(0(0(2(z0)))))))))), 0'(2(1(0(0(1(0(0(2(z0))))))))), 1'(0(0(1(0(0(2(z0))))))), 0'(0(1(0(0(2(z0)))))), 0'(1(0(0(2(z0))))), 1'(0(0(2(z0)))), 0'(0(2(z0))), 0'(2(z0)))
   0'(2(c_1(c_1(c_1(c_0(2(c_1(c_1(c_0(c_1(c_0(2(2(c_0(c_0(2(c_0(2(c_1(z0)))))))))))))))))))) -> c9(0'(1(0(1(2(2(2(1(1(0(2(2(1(2(0(0(0(0(2(1(z0)))))))))))))))))))), 1'(0(1(2(2(2(1(1(0(2(2(1(2(0(0(0(0(2(1(z0))))))))))))))))))), 0'(1(2(2(2(1(1(0(2(2(1(2(0(0(0(0(2(1(z0)))))))))))))))))), 1'(1(0(2(2(1(2(0(0(0(0(2(1(z0))))))))))))), 1'(0(2(2(1(2(0(0(0(0(2(1(z0)))))))))))), 0'(2(2(1(2(0(0(0(0(2(1(z0))))))))))), 1'(2(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))), 1'(z0))
   0'(c_0(2(c_0(2(c_1(c_1(2(c_1(c_1(c_1(c_1(c_1(c_0(c_1(c_1(c_1(2(2(c_1(z0)))))))))))))))))))) -> c21(0'(2(0(0(2(1(1(2(2(0(2(0(1(2(2(2(1(1(1(2(z0)))))))))))))))))))), 0'(0(2(1(1(2(2(0(2(0(1(2(2(2(1(1(1(2(z0)))))))))))))))))), 0'(2(1(1(2(2(0(2(0(1(2(2(2(1(1(1(2(z0))))))))))))))))), 1'(1(2(2(0(2(0(1(2(2(2(1(1(1(2(z0))))))))))))))), 1'(2(2(0(2(0(1(2(2(2(1(1(1(2(z0)))))))))))))), 0'(2(0(1(2(2(2(1(1(1(2(z0))))))))))), 0'(1(2(2(2(1(1(1(2(z0))))))))), 1'(1(1(2(z0)))), 1'(1(2(z0))), 1'(2(z0)))
   0'(2(c_0(c_1(c_1(c_1(c_0(c_1(2(2(c_0(2(c_0(2(c_0(2(c_1(2(c_0(c_1(z0)))))))))))))))))))) -> c22(0'(2(2(0(1(2(2(2(2(1(0(2(1(2(0(0(2(2(2(1(z0)))))))))))))))))))), 0'(1(2(2(2(2(1(0(2(1(2(0(0(2(2(2(1(z0))))))))))))))))), 1'(0(2(1(2(0(0(2(2(2(1(z0))))))))))), 0'(2(1(2(0(0(2(2(2(1(z0)))))))))), 1'(2(0(0(2(2(2(1(z0)))))))), 0'(0(2(2(2(1(z0)))))), 0'(2(2(2(1(z0))))), 1'(z0))
   0'(2(c_0(2(c_1(c_0(c_0(c_1(2(c_0(2(c_0(c_1(c_0(c_1(c_1(c_1(2(2(c_1(z0)))))))))))))))))))) -> c31(0'(0(1(0(1(0(1(1(2(1(0(0(0(1(2(2(2(0(1(0(z0)))))))))))))))))))), 0'(1(0(1(0(1(1(2(1(0(0(0(1(2(2(2(0(1(0(z0))))))))))))))))))), 1'(0(1(0(1(1(2(1(0(0(0(1(2(2(2(0(1(0(z0)))))))))))))))))), 0'(1(0(1(1(2(1(0(0(0(1(2(2(2(0(1(0(z0))))))))))))))))), 1'(0(1(1(2(1(0(0(0(1(2(2(2(0(1(0(z0)))))))))))))))), 0'(1(1(2(1(0(0(0(1(2(2(2(0(1(0(z0))))))))))))))), 1'(1(2(1(0(0(0(1(2(2(2(0(1(0(z0)))))))))))))), 1'(2(1(0(0(0(1(2(2(2(0(1(0(z0))))))))))))), 1'(0(0(0(1(2(2(2(0(1(0(z0))))))))))), 0'(0(0(1(2(2(2(0(1(0(z0)))))))))), 0'(0(1(2(2(2(0(1(0(z0))))))))), 0'(1(2(2(2(0(1(0(z0)))))))), 0'(1(0(z0))), 1'(0(z0)), 0'(z0))
   0'(c_1(c_1(2(c_0(c_1(c_0(c_0(c_1(2(c_0(2(c_1(c_0(c_0(c_0(c_0(2(c_0(c_1(z0)))))))))))))))))))) -> c40(0'(0(2(1(2(2(2(1(2(1(0(0(0(2(2(1(0(1(2(0(z0)))))))))))))))))))), 0'(2(1(2(2(2(1(2(1(0(0(0(2(2(1(0(1(2(0(z0))))))))))))))))))), 1'(2(1(0(0(0(2(2(1(0(1(2(0(z0))))))))))))), 1'(0(0(0(2(2(1(0(1(2(0(z0))))))))))), 0'(0(0(2(2(1(0(1(2(0(z0)))))))))), 0'(0(2(2(1(0(1(2(0(z0))))))))), 0'(2(2(1(0(1(2(0(z0)))))))), 1'(0(1(2(0(z0))))), 0'(1(2(0(z0)))), 1'(2(0(z0))), 0'(z0))
   0'(c_1(c_0(2(2(2(c_1(2(c_1(c_1(c_1(2(c_1(c_0(2(c_1(c_1(c_1(c_0(c_1(z0)))))))))))))))))))) -> c61(0'(0(1(2(2(2(1(0(0(1(1(2(1(1(2(0(0(1(2(0(z0)))))))))))))))))))), 0'(1(2(2(2(1(0(0(1(1(2(1(1(2(0(0(1(2(0(z0))))))))))))))))))), 1'(0(0(1(1(2(1(1(2(0(0(1(2(0(z0)))))))))))))), 0'(0(1(1(2(1(1(2(0(0(1(2(0(z0))))))))))))), 0'(1(1(2(1(1(2(0(0(1(2(0(z0)))))))))))), 1'(1(2(1(1(2(0(0(1(2(0(z0))))))))))), 1'(2(1(1(2(0(0(1(2(0(z0)))))))))), 1'(1(2(0(0(1(2(0(z0)))))))), 1'(2(0(0(1(2(0(z0))))))), 0'(0(1(2(0(z0))))), 0'(1(2(0(z0)))), 1'(2(0(z0))), 0'(z0))
   0'(c_1(c_1(c_0(2(c_1(c_1(c_0(c_0(c_1(c_1(c_1(2(2(2(c_0(2(c_0(c_0(2(z0)))))))))))))))))))) -> c63(0'(1(2(1(0(2(1(0(1(2(2(2(0(0(2(0(2(2(1(2(z0)))))))))))))))))))), 1'(2(1(0(2(1(0(1(2(2(2(0(0(2(0(2(2(1(2(z0))))))))))))))))))), 1'(0(2(1(0(1(2(2(2(0(0(2(0(2(2(1(2(z0))))))))))))))))), 0'(2(1(0(1(2(2(2(0(0(2(0(2(2(1(2(z0)))))))))))))))), 1'(0(1(2(2(2(0(0(2(0(2(2(1(2(z0)))))))))))))), 0'(1(2(2(2(0(0(2(0(2(2(1(2(z0))))))))))))), 0'(0(2(0(2(2(1(2(z0)))))))), 0'(2(0(2(2(1(2(z0))))))), 0'(2(2(1(2(z0))))), 1'(2(z0)))
   0'(c_1(c_1(c_1(c_1(2(c_0(c_0(c_0(2(2(2(2(c_1(c_0(2(2(2(c_0(c_1(z0)))))))))))))))))))) -> c65(0'(2(0(0(0(1(2(0(1(2(2(2(1(2(1(1(1(2(1(2(z0)))))))))))))))))))), 0'(0(0(1(2(0(1(2(2(2(1(2(1(1(1(2(1(2(z0)))))))))))))))))), 0'(0(1(2(0(1(2(2(2(1(2(1(1(1(2(1(2(z0))))))))))))))))), 0'(1(2(0(1(2(2(2(1(2(1(1(1(2(1(2(z0)))))))))))))))), 1'(2(0(1(2(2(2(1(2(1(1(1(2(1(2(z0))))))))))))))), 0'(1(2(2(2(1(2(1(1(1(2(1(2(z0))))))))))))), 1'(2(1(1(1(2(1(2(z0)))))))), 1'(1(1(2(1(2(z0)))))), 1'(1(2(1(2(z0))))), 1'(2(1(2(z0)))), 1'(2(z0)))
   0'(2(c_1(c_1(c_1(c_0(c_0(c_1(2(c_1(2(c_1(c_1(2(c_0(2(c_1(c_0(c_1(2(z0)))))))))))))))))))) -> c74(0'(1(0(1(0(2(0(0(0(1(1(1(2(0(0(0(1(2(2(2(z0)))))))))))))))))))), 1'(0(1(0(2(0(0(0(1(1(1(2(0(0(0(1(2(2(2(z0))))))))))))))))))), 0'(1(0(2(0(0(0(1(1(1(2(0(0(0(1(2(2(2(z0)))))))))))))))))), 1'(0(2(0(0(0(1(1(1(2(0(0(0(1(2(2(2(z0))))))))))))))))), 0'(2(0(0(0(1(1(1(2(0(0(0(1(2(2(2(z0)))))))))))))))), 0'(0(0(1(1(1(2(0(0(0(1(2(2(2(z0)))))))))))))), 0'(0(1(1(1(2(0(0(0(1(2(2(2(z0))))))))))))), 0'(1(1(1(2(0(0(0(1(2(2(2(z0)))))))))))), 1'(1(1(2(0(0(0(1(2(2(2(z0))))))))))), 1'(1(2(0(0(0(1(2(2(2(z0)))))))))), 1'(2(0(0(0(1(2(2(2(z0))))))))), 0'(0(0(1(2(2(2(z0))))))), 0'(0(1(2(2(2(z0)))))), 0'(1(2(2(2(z0))))))
   0'(2(2(c_1(c_1(c_1(c_1(c_0(c_0(c_1(c_0(c_1(c_0(2(2(c_1(c_1(2(2(c_1(z0)))))))))))))))))))) -> c75(0'(2(2(2(0(2(2(1(1(2(2(2(2(0(2(0(0(2(0(2(z0)))))))))))))))))))), 0'(2(2(1(1(2(2(2(2(0(2(0(0(2(0(2(z0)))))))))))))))), 1'(1(2(2(2(2(0(2(0(0(2(0(2(z0))))))))))))), 0'(2(0(0(2(0(2(z0))))))), 0'(0(2(0(2(z0))))), 0'(2(0(2(z0)))), 0'(2(z0)))
   0'(c_1(c_0(c_1(c_1(2(2(c_0(c_0(c_0(2(2(2(c_1(c_1(c_0(c_1(c_1(c_1(c_1(z0)))))))))))))))))))) -> c81(0'(0(2(2(2(2(2(2(1(1(0(1(2(2(0(1(2(0(2(1(z0)))))))))))))))))))), 1'(1(0(1(2(2(0(1(2(0(2(1(z0)))))))))))), 1'(0(1(2(2(0(1(2(0(2(1(z0))))))))))), 0'(1(2(2(0(1(2(0(2(1(z0)))))))))), 1'(2(2(0(1(2(0(2(1(z0))))))))), 0'(1(2(0(2(1(z0)))))), 1'(2(0(2(1(z0))))), 0'(2(1(z0))), 1'(z0))
   0'(c_0(c_1(c_1(c_0(2(2(c_1(c_1(c_1(c_1(c_1(2(c_0(2(c_1(c_0(2(2(c_1(z0)))))))))))))))))))) -> c82(0'(2(0(1(1(0(1(2(2(2(0(0(2(2(2(0(2(0(0(0(z0)))))))))))))))))))), 0'(1(1(0(1(2(2(2(0(0(2(2(2(0(2(0(0(0(z0)))))))))))))))))), 1'(1(0(1(2(2(2(0(0(2(2(2(0(2(0(0(0(z0))))))))))))))))), 1'(0(1(2(2(2(0(0(2(2(2(0(2(0(0(0(z0)))))))))))))))), 0'(1(2(2(2(0(0(2(2(2(0(2(0(0(0(z0))))))))))))))), 0'(0(2(2(2(0(2(0(0(0(z0)))))))))), 0'(2(2(2(0(2(0(0(0(z0))))))))), 0'(2(0(0(0(z0))))), 0'(0(0(z0))), 0'(0(z0)), 0'(z0))
   0'(c_1(c_1(c_0(c_1(c_1(c_1(c_1(2(c_0(2(c_0(2(2(2(c_0(c_0(c_0(2(c_1(z0)))))))))))))))))))) -> c86(0'(1(0(1(2(2(2(0(2(2(1(1(2(2(2(0(0(0(1(0(z0)))))))))))))))))))), 1'(0(1(2(2(2(0(2(2(1(1(2(2(2(0(0(0(1(0(z0))))))))))))))))))), 0'(1(2(2(2(0(2(2(1(1(2(2(2(0(0(0(1(0(z0)))))))))))))))))), 0'(2(2(1(1(2(2(2(0(0(0(1(0(z0))))))))))))), 1'(1(2(2(2(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_1(c_0(c_1(2(2(2(c_1(c_1(2(c_1(2(c_1(c_0(2(c_0(c_1(2(c_0(z0)))))))))))))))))))) -> c87(0'(2(0(1(1(2(2(2(1(0(0(2(1(0(0(0(0(2(0(2(z0)))))))))))))))))))), 0'(1(1(2(2(2(1(0(0(2(1(0(0(0(0(2(0(2(z0)))))))))))))))))), 1'(1(2(2(2(1(0(0(2(1(0(0(0(0(2(0(2(z0))))))))))))))))), 1'(0(0(2(1(0(0(0(0(2(0(2(z0)))))))))))), 0'(0(2(1(0(0(0(0(2(0(2(z0))))))))))), 0'(2(1(0(0(0(0(2(0(2(z0)))))))))), 1'(0(0(0(0(2(0(2(z0)))))))), 0'(0(0(0(2(0(2(z0))))))), 0'(0(0(2(0(2(z0)))))), 0'(0(2(0(2(z0))))), 0'(2(0(2(z0)))), 0'(2(z0)))
   0'(c_1(c_1(2(c_0(2(c_0(2(2(c_1(c_1(2(c_0(c_1(2(2(c_0(c_1(c_0(c_0(z0)))))))))))))))))))) -> c91(0'(1(2(0(0(0(2(1(2(0(1(2(2(2(2(0(1(1(0(1(z0)))))))))))))))))))), 1'(2(0(0(0(2(1(2(0(1(2(2(2(2(0(1(1(0(1(z0))))))))))))))))))), 0'(0(0(2(1(2(0(1(2(2(2(2(0(1(1(0(1(z0))))))))))))))))), 0'(0(2(1(2(0(1(2(2(2(2(0(1(1(0(1(z0)))))))))))))))), 0'(2(1(2(0(1(2(2(2(2(0(1(1(0(1(z0))))))))))))))), 1'(2(0(1(2(2(2(2(0(1(1(0(1(z0))))))))))))), 0'(1(2(2(2(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))
   0'(2(c_1(c_1(2(c_0(2(2(2(c_0(c_1(2(c_0(2(c_0(2(2(c_0(c_0(c_1(z0)))))))))))))))))))) -> c92(0'(0(2(1(2(0(0(0(2(0(1(2(2(2(1(0(1(1(1(0(z0)))))))))))))))))))), 0'(2(1(2(0(0(0(2(0(1(2(2(2(1(0(1(1(1(0(z0))))))))))))))))))), 1'(2(0(0(0(2(0(1(2(2(2(1(0(1(1(1(0(z0))))))))))))))))), 0'(0(0(2(0(1(2(2(2(1(0(1(1(1(0(z0))))))))))))))), 0'(0(2(0(1(2(2(2(1(0(1(1(1(0(z0)))))))))))))), 0'(2(0(1(2(2(2(1(0(1(1(1(0(z0))))))))))))), 0'(1(2(2(2(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))
   0'(c_1(2(c_1(c_0(c_1(2(2(c_1(c_1(c_0(c_0(c_1(c_1(2(2(c_1(c_0(c_1(c_1(z0)))))))))))))))))))) -> c96(0'(2(2(2(0(2(0(2(0(1(2(1(2(2(2(1(0(0(1(0(z0)))))))))))))))))))), 0'(2(0(2(0(1(2(1(2(2(2(1(0(0(1(0(z0)))))))))))))))), 0'(2(0(1(2(1(2(2(2(1(0(0(1(0(z0)))))))))))))), 0'(1(2(1(2(2(2(1(0(0(1(0(z0)))))))))))), 1'(2(1(2(2(2(1(0(0(1(0(z0))))))))))), 1'(0(0(1(0(z0))))), 0'(0(1(0(z0)))), 0'(1(0(z0))), 1'(0(z0)), 0'(z0))
   0'(2(2(c_1(c_1(2(2(c_1(c_0(2(c_1(2(c_1(c_1(2(2(2(c_0(2(c_0(z0)))))))))))))))))))) -> c97(0'(2(1(2(2(2(1(0(0(1(0(0(0(1(2(1(1(2(2(1(z0)))))))))))))))))))), 1'(0(0(1(0(0(0(1(2(1(1(2(2(1(z0)))))))))))))), 0'(0(1(0(0(0(1(2(1(1(2(2(1(z0))))))))))))), 0'(1(0(0(0(1(2(1(1(2(2(1(z0)))))))))))), 1'(0(0(0(1(2(1(1(2(2(1(z0))))))))))), 0'(0(0(1(2(1(1(2(2(1(z0)))))))))), 0'(0(1(2(1(1(2(2(1(z0))))))))), 0'(1(2(1(1(2(2(1(z0)))))))), 1'(2(1(1(2(2(1(z0))))))), 1'(1(2(2(1(z0))))), 1'(2(2(1(z0)))), 1'(z0))
K tuples:none
Defined Rule Symbols:   0_1, 1_1, encArg_1, encode_0_1, encode_1_1, encode_2_1

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

Compound Symbols:   c_1, c1_2, c2_2, c7_14, c8_13, c10_13, c11_13, c12_15, c13_10, c14_13, c15_12, c16_14, c17_13, c18_13, c19_16, c20_13, c23_16, c24_12, c25_15, c26_14, c27_14, c28_14, c29_14, c30_12, c32_16, c33_14, c34_15, c35_11, c36_16, c37_16, c38_13, c39_15, c41_16, c42_11, c43_16, c44_12, c45_16, c46_15, c47_18, c48_10, c49_14, c50_13, c51_15, c52_15, c53_14, c54_15, c55_15, c56_13, c57_9, c58_11, c59_14, c60_13, c62_16, c64_15, c66_16, c67_14, c68_15, c69_14, c70_13, c71_13, c72_16, c73_15, c76_12, c77_15, c78_15, c79_16, c80_14, c83_16, c84_14, c85_15, c88_16, c89_12, c90_13, c93_14, c94_12, c95_11, c98_13, c99_15, c100_13, c101_17, c102_14, c103_11, c104_14, c106_17, c9_12, c21_10, c22_8, c31_15, c40_11, c61_13, c63_10, c65_11, c74_14, c75_7, c81_9, c82_11, c86_10, c87_12, c91_12, c92_13, c96_10, c97_12, c5_1


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

(47) 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))

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

(48)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(2(z0)) -> 2(encArg(z0))
   encArg(cons_0(z0)) -> 0(encArg(z0))
   encArg(cons_1(z0)) -> 1(encArg(z0))
   0(z0) -> c_0(z0)
   0(c_0(c_1(c_0(2(2(c_1(2(c_0(c_0(c_1(c_1(2(2(2(c_1(c_1(2(c_1(c_1(z0)))))))))))))))))))) -> 0(2(0(2(2(0(0(1(2(0(2(0(0(1(1(0(0(2(1(1(z0))))))))))))))))))))
   0(c_1(c_0(c_1(2(c_1(c_1(c_1(c_0(c_0(c_1(c_1(2(2(2(c_0(2(c_0(c_1(2(z0)))))))))))))))))))) -> 0(2(1(1(2(1(0(2(0(1(1(0(2(0(1(0(2(2(0(2(z0))))))))))))))))))))
   0(2(c_1(c_1(c_1(c_0(2(c_1(c_1(c_0(c_1(c_0(2(2(c_0(c_0(2(c_0(2(c_1(z0)))))))))))))))))))) -> 0(1(0(1(2(2(2(1(1(0(2(2(1(2(0(0(0(0(2(1(z0))))))))))))))))))))
   0(c_1(c_0(2(2(c_1(c_1(c_0(c_1(c_0(2(2(c_1(c_0(2(c_0(c_1(c_0(c_1(c_1(z0)))))))))))))))))))) -> 0(1(2(0(0(2(2(0(0(0(0(2(1(2(1(0(1(2(0(2(z0))))))))))))))))))))
   0(2(c_1(2(c_0(c_1(c_1(c_1(2(c_0(c_1(c_1(2(c_1(2(c_0(2(c_0(2(c_0(z0)))))))))))))))))))) -> 0(1(2(1(1(0(1(1(2(1(2(0(1(0(1(2(2(0(2(2(z0))))))))))))))))))))
   0(c_0(c_1(c_0(c_0(c_1(c_1(2(c_1(c_1(2(2(c_1(c_1(2(2(c_1(c_1(c_0(2(z0)))))))))))))))))))) -> 0(1(1(0(0(2(0(0(2(0(2(1(1(1(1(1(0(2(0(2(z0))))))))))))))))))))
   0(c_1(c_1(c_0(c_1(c_0(2(c_1(c_1(2(2(c_0(2(c_0(2(c_0(2(2(c_0(c_1(z0)))))))))))))))))))) -> 0(2(0(2(1(0(0(1(2(2(1(2(2(1(2(2(1(2(2(0(z0))))))))))))))))))))
   0(c_1(c_0(c_1(c_1(c_1(c_1(2(c_0(2(2(2(2(2(2(c_1(c_0(2(c_0(c_1(z0)))))))))))))))))))) -> 0(0(0(2(2(1(0(0(1(2(1(0(2(2(1(0(0(2(2(1(z0))))))))))))))))))))
   0(c_0(2(2(c_0(c_0(c_1(c_0(2(2(c_1(c_1(2(2(c_1(c_0(2(2(c_0(c_1(z0)))))))))))))))))))) -> 0(2(0(2(2(1(0(0(2(2(1(2(1(1(0(0(2(0(2(1(z0))))))))))))))))))))
   0(c_0(2(2(c_1(c_1(c_1(c_0(c_1(c_0(c_1(c_0(c_1(2(2(2(c_1(2(c_0(c_0(z0)))))))))))))))))))) -> 0(1(0(2(0(2(2(1(0(1(0(2(1(2(1(0(1(1(1(2(z0))))))))))))))))))))
   0(c_1(c_1(c_0(c_0(2(c_0(2(c_1(c_1(c_1(2(c_1(2(c_1(c_0(c_0(c_1(c_1(c_1(z0)))))))))))))))))))) -> 0(1(0(0(2(2(0(0(2(2(0(2(0(0(1(2(1(0(1(2(z0))))))))))))))))))))
   0(c_1(c_1(c_0(2(c_1(2(c_1(c_1(c_0(c_1(c_1(2(c_1(c_0(c_1(c_0(c_1(c_1(c_1(z0)))))))))))))))))))) -> 0(1(1(1(2(1(2(2(0(1(1(0(2(2(0(0(2(1(0(2(z0))))))))))))))))))))
   0(2(c_1(c_1(c_1(2(2(c_0(c_0(c_0(2(c_1(c_0(c_1(2(2(c_1(c_0(2(c_0(z0)))))))))))))))))))) -> 0(1(0(1(0(0(0(1(0(2(1(1(0(0(2(1(2(0(2(1(z0))))))))))))))))))))
   0(c_0(c_0(2(c_1(2(2(c_0(c_1(c_1(c_0(c_0(c_1(c_1(2(c_1(c_0(2(2(c_1(z0)))))))))))))))))))) -> 0(2(0(1(1(2(0(1(2(1(2(1(0(2(2(0(2(0(1(0(z0))))))))))))))))))))
   0(c_0(2(c_0(2(c_1(c_1(2(c_1(c_1(c_1(c_1(c_1(c_0(c_1(c_1(c_1(2(2(c_1(z0)))))))))))))))))))) -> 0(2(0(0(2(1(1(2(2(0(2(0(1(2(2(2(1(1(1(2(z0))))))))))))))))))))
   0(2(c_0(c_1(c_1(c_1(c_0(c_1(2(2(c_0(2(c_0(2(c_0(2(c_1(2(c_0(c_1(z0)))))))))))))))))))) -> 0(2(2(0(1(2(2(2(2(1(0(2(1(2(0(0(2(2(2(1(z0))))))))))))))))))))
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   0(c_0(c_1(2(c_0(c_1(2(c_0(c_1(c_1(c_1(c_0(2(2(c_1(c_0(2(c_1(c_1(2(z0)))))))))))))))))))) -> 0(1(2(2(0(2(2(2(1(0(1(2(2(1(0(0(1(1(1(2(z0))))))))))))))))))))
   0(c_0(c_1(2(2(c_1(c_1(c_0(2(2(2(c_0(c_1(c_1(c_1(c_1(c_0(c_1(2(c_1(z0)))))))))))))))))))) -> 0(1(2(2(0(1(1(1(2(0(2(0(0(1(2(0(2(1(2(0(z0))))))))))))))))))))
   0(c_1(c_1(2(c_0(2(c_0(2(2(c_1(c_1(2(c_0(c_1(2(2(c_0(c_1(c_0(c_0(z0)))))))))))))))))))) -> 0(1(2(0(0(0(2(1(2(0(1(2(2(2(2(0(1(1(0(1(z0))))))))))))))))))))
   0(2(c_1(c_1(2(c_0(2(2(2(c_0(c_1(2(c_0(2(c_0(2(2(c_0(c_0(c_1(z0)))))))))))))))))))) -> 0(0(2(1(2(0(0(0(2(0(1(2(2(2(1(0(1(1(1(0(z0))))))))))))))))))))
   0(c_1(c_0(c_1(c_0(c_1(c_1(c_0(c_0(c_0(c_1(c_0(2(c_1(c_1(2(c_0(c_1(c_0(c_1(z0)))))))))))))))))))) -> 0(0(2(1(1(0(0(2(0(2(1(0(1(1(0(2(2(0(1(2(z0))))))))))))))))))))
   0(c_0(c_1(2(2(c_0(c_1(c_1(2(c_0(c_0(2(2(c_1(c_0(2(c_1(2(c_1(c_0(z0)))))))))))))))))))) -> 0(2(2(0(2(0(2(1(0(2(0(0(2(2(1(0(0(0(2(0(z0))))))))))))))))))))
   0(c_0(c_0(2(2(c_1(c_1(2(2(c_0(c_0(2(c_1(2(c_0(c_1(c_1(c_0(2(2(z0)))))))))))))))))))) -> 0(2(2(2(1(0(0(2(1(2(1(2(1(2(1(1(1(2(0(2(z0))))))))))))))))))))
   0(c_1(2(c_1(c_0(c_1(2(2(c_1(c_1(c_0(c_0(c_1(c_1(2(2(c_1(c_0(c_1(c_1(z0)))))))))))))))))))) -> 0(2(2(2(0(2(0(2(0(1(2(1(2(2(2(1(0(0(1(0(z0))))))))))))))))))))
   0(2(2(c_1(c_1(2(2(c_1(c_0(2(c_1(2(c_1(c_1(2(2(2(c_0(2(c_0(z0)))))))))))))))))))) -> 0(2(1(2(2(2(1(0(0(1(0(0(0(1(2(1(1(2(2(1(z0))))))))))))))))))))
   0(c_1(c_1(c_1(2(2(c_1(2(c_1(c_1(c_1(c_0(c_0(c_1(c_1(c_1(2(c_1(c_1(c_0(z0)))))))))))))))))))) -> 0(0(1(0(2(0(1(1(1(2(0(2(1(2(2(0(2(1(2(1(z0))))))))))))))))))))
   0(c_0(2(c_0(c_1(c_1(2(c_0(2(c_1(c_0(2(2(c_1(c_1(c_0(c_1(2(c_0(c_1(z0)))))))))))))))))))) -> 0(1(2(0(2(0(1(0(1(2(1(0(0(2(2(1(0(1(0(1(z0))))))))))))))))))))
   0(c_1(c_1(2(2(2(2(c_1(c_0(2(c_0(c_0(c_1(2(2(c_1(2(2(2(2(z0)))))))))))))))))))) -> 0(1(0(0(2(0(0(1(2(1(2(0(1(2(2(1(0(2(0(2(z0))))))))))))))))))))
   0(2(c_0(c_1(2(c_1(c_1(c_1(c_1(2(c_0(2(c_1(2(c_0(c_1(2(2(c_0(c_1(z0)))))))))))))))))))) -> 0(1(1(1(1(2(1(0(0(1(1(0(2(1(0(0(2(0(0(1(z0))))))))))))))))))))
   0(c_1(c_0(c_1(c_1(2(c_1(c_0(c_0(c_0(2(2(2(c_1(2(c_1(2(c_1(c_0(2(z0)))))))))))))))))))) -> 0(1(0(0(2(2(1(2(1(0(1(0(0(0(2(0(0(2(1(2(z0))))))))))))))))))))
   0(c_0(c_1(c_0(2(c_1(2(2(2(2(c_0(c_1(2(c_0(c_1(c_1(2(2(c_0(2(z0)))))))))))))))))))) -> 0(0(2(1(1(0(0(2(2(2(0(1(2(2(0(1(2(2(0(2(z0))))))))))))))))))))
   0(c_1(c_1(c_0(c_1(2(c_1(2(c_0(2(2(c_1(c_0(c_0(2(c_0(c_1(c_0(c_1(c_1(z0)))))))))))))))))))) -> 0(0(0(1(2(0(2(2(2(0(1(0(1(2(1(1(1(0(2(0(z0))))))))))))))))))))
   1(z0) -> c_1(z0)
   1(2(2(c_0(2(c_0(2(c_1(2(c_1(2(c_1(c_0(c_0(c_1(c_0(c_0(2(c_0(c_1(z0)))))))))))))))))))) -> 1(0(1(2(0(1(0(0(1(0(0(0(2(1(0(0(1(0(0(2(z0))))))))))))))))))))
Tuples:
   ENCARG(2(z0)) -> c(ENCARG(z0))
   ENCARG(cons_0(z0)) -> c1(0'(encArg(z0)), ENCARG(z0))
   ENCARG(cons_1(z0)) -> c2(1'(encArg(z0)), ENCARG(z0))
   0'(c_0(c_1(c_0(2(2(c_1(2(c_0(c_0(c_1(c_1(2(2(2(c_1(c_1(2(c_1(c_1(z0)))))))))))))))))))) -> c7(0'(2(0(2(2(0(0(1(2(0(2(0(0(1(1(0(0(2(1(1(z0)))))))))))))))))))), 0'(2(2(0(0(1(2(0(2(0(0(1(1(0(0(2(1(1(z0)))))))))))))))))), 0'(0(1(2(0(2(0(0(1(1(0(0(2(1(1(z0))))))))))))))), 0'(1(2(0(2(0(0(1(1(0(0(2(1(1(z0)))))))))))))), 1'(2(0(2(0(0(1(1(0(0(2(1(1(z0))))))))))))), 0'(2(0(0(1(1(0(0(2(1(1(z0))))))))))), 0'(0(1(1(0(0(2(1(1(z0))))))))), 0'(1(1(0(0(2(1(1(z0)))))))), 1'(1(0(0(2(1(1(z0))))))), 1'(0(0(2(1(1(z0)))))), 0'(0(2(1(1(z0))))), 0'(2(1(1(z0)))), 1'(1(z0)), 1'(z0))
   0'(c_1(c_0(c_1(2(c_1(c_1(c_1(c_0(c_0(c_1(c_1(2(2(2(c_0(2(c_0(c_1(2(z0)))))))))))))))))))) -> c8(0'(2(1(1(2(1(0(2(0(1(1(0(2(0(1(0(2(2(0(2(z0)))))))))))))))))))), 1'(1(2(1(0(2(0(1(1(0(2(0(1(0(2(2(0(2(z0)))))))))))))))))), 1'(2(1(0(2(0(1(1(0(2(0(1(0(2(2(0(2(z0))))))))))))))))), 1'(0(2(0(1(1(0(2(0(1(0(2(2(0(2(z0))))))))))))))), 0'(2(0(1(1(0(2(0(1(0(2(2(0(2(z0)))))))))))))), 0'(1(1(0(2(0(1(0(2(2(0(2(z0)))))))))))), 1'(1(0(2(0(1(0(2(2(0(2(z0))))))))))), 1'(0(2(0(1(0(2(2(0(2(z0)))))))))), 0'(2(0(1(0(2(2(0(2(z0))))))))), 0'(1(0(2(2(0(2(z0))))))), 1'(0(2(2(0(2(z0)))))), 0'(2(2(0(2(z0))))), 0'(2(z0)))
   0'(c_1(c_0(2(2(c_1(c_1(c_0(c_1(c_0(2(2(c_1(c_0(2(c_0(c_1(c_0(c_1(c_1(z0)))))))))))))))))))) -> c10(0'(1(2(0(0(2(2(0(0(0(0(2(1(2(1(0(1(2(0(2(z0)))))))))))))))))))), 1'(2(0(0(2(2(0(0(0(0(2(1(2(1(0(1(2(0(2(z0))))))))))))))))))), 0'(0(2(2(0(0(0(0(2(1(2(1(0(1(2(0(2(z0))))))))))))))))), 0'(2(2(0(0(0(0(2(1(2(1(0(1(2(0(2(z0)))))))))))))))), 0'(0(0(0(2(1(2(1(0(1(2(0(2(z0))))))))))))), 0'(0(0(2(1(2(1(0(1(2(0(2(z0)))))))))))), 0'(0(2(1(2(1(0(1(2(0(2(z0))))))))))), 0'(2(1(2(1(0(1(2(0(2(z0)))))))))), 1'(2(1(0(1(2(0(2(z0)))))))), 1'(0(1(2(0(2(z0)))))), 0'(1(2(0(2(z0))))), 1'(2(0(2(z0)))), 0'(2(z0)))
   0'(2(c_1(2(c_0(c_1(c_1(c_1(2(c_0(c_1(c_1(2(c_1(2(c_0(2(c_0(2(c_0(z0)))))))))))))))))))) -> c11(0'(1(2(1(1(0(1(1(2(1(2(0(1(0(1(2(2(0(2(2(z0)))))))))))))))))))), 1'(2(1(1(0(1(1(2(1(2(0(1(0(1(2(2(0(2(2(z0))))))))))))))))))), 1'(1(0(1(1(2(1(2(0(1(0(1(2(2(0(2(2(z0))))))))))))))))), 1'(0(1(1(2(1(2(0(1(0(1(2(2(0(2(2(z0)))))))))))))))), 0'(1(1(2(1(2(0(1(0(1(2(2(0(2(2(z0))))))))))))))), 1'(1(2(1(2(0(1(0(1(2(2(0(2(2(z0)))))))))))))), 1'(2(1(2(0(1(0(1(2(2(0(2(2(z0))))))))))))), 1'(2(0(1(0(1(2(2(0(2(2(z0))))))))))), 0'(1(0(1(2(2(0(2(2(z0))))))))), 1'(0(1(2(2(0(2(2(z0)))))))), 0'(1(2(2(0(2(2(z0))))))), 1'(2(2(0(2(2(z0)))))), 0'(2(2(z0))))
   0'(c_0(c_1(c_0(c_0(c_1(c_1(2(c_1(c_1(2(2(c_1(c_1(2(2(c_1(c_1(c_0(2(z0)))))))))))))))))))) -> c12(0'(1(1(0(0(2(0(0(2(0(2(1(1(1(1(1(0(2(0(2(z0)))))))))))))))))))), 1'(1(0(0(2(0(0(2(0(2(1(1(1(1(1(0(2(0(2(z0))))))))))))))))))), 1'(0(0(2(0(0(2(0(2(1(1(1(1(1(0(2(0(2(z0)))))))))))))))))), 0'(0(2(0(0(2(0(2(1(1(1(1(1(0(2(0(2(z0))))))))))))))))), 0'(2(0(0(2(0(2(1(1(1(1(1(0(2(0(2(z0)))))))))))))))), 0'(0(2(0(2(1(1(1(1(1(0(2(0(2(z0)))))))))))))), 0'(2(0(2(1(1(1(1(1(0(2(0(2(z0))))))))))))), 0'(2(1(1(1(1(1(0(2(0(2(z0))))))))))), 1'(1(1(1(1(0(2(0(2(z0))))))))), 1'(1(1(1(0(2(0(2(z0)))))))), 1'(1(1(0(2(0(2(z0))))))), 1'(1(0(2(0(2(z0)))))), 1'(0(2(0(2(z0))))), 0'(2(0(2(z0)))), 0'(2(z0)))
   0'(c_1(c_1(c_0(c_1(c_0(2(c_1(c_1(2(2(c_0(2(c_0(2(c_0(2(2(c_0(c_1(z0)))))))))))))))))))) -> c13(0'(2(0(2(1(0(0(1(2(2(1(2(2(1(2(2(1(2(2(0(z0)))))))))))))))))))), 0'(2(1(0(0(1(2(2(1(2(2(1(2(2(1(2(2(0(z0)))))))))))))))))), 1'(0(0(1(2(2(1(2(2(1(2(2(1(2(2(0(z0)))))))))))))))), 0'(0(1(2(2(1(2(2(1(2(2(1(2(2(0(z0))))))))))))))), 0'(1(2(2(1(2(2(1(2(2(1(2(2(0(z0)))))))))))))), 1'(2(2(1(2(2(1(2(2(1(2(2(0(z0))))))))))))), 1'(2(2(1(2(2(1(2(2(0(z0)))))))))), 1'(2(2(1(2(2(0(z0))))))), 1'(2(2(0(z0)))), 0'(z0))
   0'(c_1(c_0(c_1(c_1(c_1(c_1(2(c_0(2(2(2(2(2(2(c_1(c_0(2(c_0(c_1(z0)))))))))))))))))))) -> c14(0'(0(0(2(2(1(0(0(1(2(1(0(2(2(1(0(0(2(2(1(z0)))))))))))))))))))), 0'(0(2(2(1(0(0(1(2(1(0(2(2(1(0(0(2(2(1(z0))))))))))))))))))), 0'(2(2(1(0(0(1(2(1(0(2(2(1(0(0(2(2(1(z0)))))))))))))))))), 1'(0(0(1(2(1(0(2(2(1(0(0(2(2(1(z0))))))))))))))), 0'(0(1(2(1(0(2(2(1(0(0(2(2(1(z0)))))))))))))), 0'(1(2(1(0(2(2(1(0(0(2(2(1(z0))))))))))))), 1'(2(1(0(2(2(1(0(0(2(2(1(z0)))))))))))), 1'(0(2(2(1(0(0(2(2(1(z0)))))))))), 0'(2(2(1(0(0(2(2(1(z0))))))))), 1'(0(0(2(2(1(z0)))))), 0'(0(2(2(1(z0))))), 0'(2(2(1(z0)))), 1'(z0))
   0'(c_0(2(2(c_0(c_0(c_1(c_0(2(2(c_1(c_1(2(2(c_1(c_0(2(2(c_0(c_1(z0)))))))))))))))))))) -> c15(0'(2(0(2(2(1(0(0(2(2(1(2(1(1(0(0(2(0(2(1(z0)))))))))))))))))))), 0'(2(2(1(0(0(2(2(1(2(1(1(0(0(2(0(2(1(z0)))))))))))))))))), 1'(0(0(2(2(1(2(1(1(0(0(2(0(2(1(z0))))))))))))))), 0'(0(2(2(1(2(1(1(0(0(2(0(2(1(z0)))))))))))))), 0'(2(2(1(2(1(1(0(0(2(0(2(1(z0))))))))))))), 1'(2(1(1(0(0(2(0(2(1(z0)))))))))), 1'(1(0(0(2(0(2(1(z0)))))))), 1'(0(0(2(0(2(1(z0))))))), 0'(0(2(0(2(1(z0)))))), 0'(2(0(2(1(z0))))), 0'(2(1(z0))), 1'(z0))
   0'(c_0(2(2(c_1(c_1(c_1(c_0(c_1(c_0(c_1(c_0(c_1(2(2(2(c_1(2(c_0(c_0(z0)))))))))))))))))))) -> c16(0'(1(0(2(0(2(2(1(0(1(0(2(1(2(1(0(1(1(1(2(z0)))))))))))))))))))), 1'(0(2(0(2(2(1(0(1(0(2(1(2(1(0(1(1(1(2(z0))))))))))))))))))), 0'(2(0(2(2(1(0(1(0(2(1(2(1(0(1(1(1(2(z0)))))))))))))))))), 0'(2(2(1(0(1(0(2(1(2(1(0(1(1(1(2(z0)))))))))))))))), 1'(0(1(0(2(1(2(1(0(1(1(1(2(z0))))))))))))), 0'(1(0(2(1(2(1(0(1(1(1(2(z0)))))))))))), 1'(0(2(1(2(1(0(1(1(1(2(z0))))))))))), 0'(2(1(2(1(0(1(1(1(2(z0)))))))))), 1'(2(1(0(1(1(1(2(z0)))))))), 1'(0(1(1(1(2(z0)))))), 0'(1(1(1(2(z0))))), 1'(1(1(2(z0)))), 1'(1(2(z0))), 1'(2(z0)))
   0'(c_1(c_1(c_0(c_0(2(c_0(2(c_1(c_1(c_1(2(c_1(2(c_1(c_0(c_0(c_1(c_1(c_1(z0)))))))))))))))))))) -> c17(0'(1(0(0(2(2(0(0(2(2(0(2(0(0(1(2(1(0(1(2(z0)))))))))))))))))))), 1'(0(0(2(2(0(0(2(2(0(2(0(0(1(2(1(0(1(2(z0))))))))))))))))))), 0'(0(2(2(0(0(2(2(0(2(0(0(1(2(1(0(1(2(z0)))))))))))))))))), 0'(2(2(0(0(2(2(0(2(0(0(1(2(1(0(1(2(z0))))))))))))))))), 0'(0(2(2(0(2(0(0(1(2(1(0(1(2(z0)))))))))))))), 0'(2(2(0(2(0(0(1(2(1(0(1(2(z0))))))))))))), 0'(2(0(0(1(2(1(0(1(2(z0)))))))))), 0'(0(1(2(1(0(1(2(z0)))))))), 0'(1(2(1(0(1(2(z0))))))), 1'(2(1(0(1(2(z0)))))), 1'(0(1(2(z0)))), 0'(1(2(z0))), 1'(2(z0)))
   0'(c_1(c_1(c_0(2(c_1(2(c_1(c_1(c_0(c_1(c_1(2(c_1(c_0(c_1(c_0(c_1(c_1(c_1(z0)))))))))))))))))))) -> c18(0'(1(1(1(2(1(2(2(0(1(1(0(2(2(0(0(2(1(0(2(z0)))))))))))))))))))), 1'(1(1(2(1(2(2(0(1(1(0(2(2(0(0(2(1(0(2(z0))))))))))))))))))), 1'(1(2(1(2(2(0(1(1(0(2(2(0(0(2(1(0(2(z0)))))))))))))))))), 1'(2(1(2(2(0(1(1(0(2(2(0(0(2(1(0(2(z0))))))))))))))))), 1'(2(2(0(1(1(0(2(2(0(0(2(1(0(2(z0))))))))))))))), 0'(1(1(0(2(2(0(0(2(1(0(2(z0)))))))))))), 1'(1(0(2(2(0(0(2(1(0(2(z0))))))))))), 1'(0(2(2(0(0(2(1(0(2(z0)))))))))), 0'(2(2(0(0(2(1(0(2(z0))))))))), 0'(0(2(1(0(2(z0)))))), 0'(2(1(0(2(z0))))), 1'(0(2(z0))), 0'(2(z0)))
   0'(2(c_1(c_1(c_1(2(2(c_0(c_0(c_0(2(c_1(c_0(c_1(2(2(c_1(c_0(2(c_0(z0)))))))))))))))))))) -> c19(0'(1(0(1(0(0(0(1(0(2(1(1(0(0(2(1(2(0(2(1(z0)))))))))))))))))))), 1'(0(1(0(0(0(1(0(2(1(1(0(0(2(1(2(0(2(1(z0))))))))))))))))))), 0'(1(0(0(0(1(0(2(1(1(0(0(2(1(2(0(2(1(z0)))))))))))))))))), 1'(0(0(0(1(0(2(1(1(0(0(2(1(2(0(2(1(z0))))))))))))))))), 0'(0(0(1(0(2(1(1(0(0(2(1(2(0(2(1(z0)))))))))))))))), 0'(0(1(0(2(1(1(0(0(2(1(2(0(2(1(z0))))))))))))))), 0'(1(0(2(1(1(0(0(2(1(2(0(2(1(z0)))))))))))))), 1'(0(2(1(1(0(0(2(1(2(0(2(1(z0))))))))))))), 0'(2(1(1(0(0(2(1(2(0(2(1(z0)))))))))))), 1'(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))))))), 1'(2(0(2(1(z0))))), 0'(2(1(z0))), 1'(z0))
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   0'(2(c_1(c_1(c_0(2(c_1(c_1(c_1(c_1(2(2(c_0(c_1(c_1(c_1(2(2(c_1(c_1(z0)))))))))))))))))))) -> c29(0'(0(2(0(0(1(0(2(2(1(0(1(1(0(0(2(0(2(2(1(z0)))))))))))))))))))), 0'(2(0(0(1(0(2(2(1(0(1(1(0(0(2(0(2(2(1(z0))))))))))))))))))), 0'(0(1(0(2(2(1(0(1(1(0(0(2(0(2(2(1(z0))))))))))))))))), 0'(1(0(2(2(1(0(1(1(0(0(2(0(2(2(1(z0)))))))))))))))), 1'(0(2(2(1(0(1(1(0(0(2(0(2(2(1(z0))))))))))))))), 0'(2(2(1(0(1(1(0(0(2(0(2(2(1(z0)))))))))))))), 1'(0(1(1(0(0(2(0(2(2(1(z0))))))))))), 0'(1(1(0(0(2(0(2(2(1(z0)))))))))), 1'(1(0(0(2(0(2(2(1(z0))))))))), 1'(0(0(2(0(2(2(1(z0)))))))), 0'(0(2(0(2(2(1(z0))))))), 0'(2(0(2(2(1(z0)))))), 0'(2(2(1(z0)))), 1'(z0))
   0'(c_0(2(2(2(c_0(c_1(c_0(c_1(c_1(c_1(c_0(c_1(c_0(c_0(c_0(c_1(c_1(2(c_0(z0)))))))))))))))))))) -> c30(0'(2(0(2(2(2(2(0(2(2(1(0(0(0(0(0(0(2(0(0(z0)))))))))))))))))))), 0'(2(2(2(2(0(2(2(1(0(0(0(0(0(0(2(0(0(z0)))))))))))))))))), 0'(2(2(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)))), 0'(0(z0)), 0'(z0))
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   0'(2(2(c_1(c_1(2(c_0(c_1(c_0(c_1(c_0(2(c_0(c_1(c_0(c_1(c_0(2(c_1(c_1(z0)))))))))))))))))))) -> c34(0'(1(1(0(0(1(1(0(0(2(2(1(1(2(2(0(0(0(2(0(z0)))))))))))))))))))), 1'(1(0(0(1(1(0(0(2(2(1(1(2(2(0(0(0(2(0(z0))))))))))))))))))), 1'(0(0(1(1(0(0(2(2(1(1(2(2(0(0(0(2(0(z0)))))))))))))))))), 0'(0(1(1(0(0(2(2(1(1(2(2(0(0(0(2(0(z0))))))))))))))))), 0'(1(1(0(0(2(2(1(1(2(2(0(0(0(2(0(z0)))))))))))))))), 1'(1(0(0(2(2(1(1(2(2(0(0(0(2(0(z0))))))))))))))), 1'(0(0(2(2(1(1(2(2(0(0(0(2(0(z0)))))))))))))), 0'(0(2(2(1(1(2(2(0(0(0(2(0(z0))))))))))))), 0'(2(2(1(1(2(2(0(0(0(2(0(z0)))))))))))), 1'(1(2(2(0(0(0(2(0(z0))))))))), 1'(2(2(0(0(0(2(0(z0)))))))), 0'(0(0(2(0(z0))))), 0'(0(2(0(z0)))), 0'(2(0(z0))), 0'(z0))
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   0'(c_1(2(c_0(c_0(2(c_1(c_1(c_0(2(c_1(c_0(c_1(c_1(c_1(c_0(c_1(c_1(c_0(c_0(z0)))))))))))))))))))) -> c84(0'(0(0(2(0(1(1(2(2(0(2(0(0(2(1(0(0(2(1(1(z0)))))))))))))))))))), 0'(0(2(0(1(1(2(2(0(2(0(0(2(1(0(0(2(1(1(z0))))))))))))))))))), 0'(2(0(1(1(2(2(0(2(0(0(2(1(0(0(2(1(1(z0)))))))))))))))))), 0'(1(1(2(2(0(2(0(0(2(1(0(0(2(1(1(z0)))))))))))))))), 1'(1(2(2(0(2(0(0(2(1(0(0(2(1(1(z0))))))))))))))), 1'(2(2(0(2(0(0(2(1(0(0(2(1(1(z0)))))))))))))), 0'(2(0(0(2(1(0(0(2(1(1(z0))))))))))), 0'(0(2(1(0(0(2(1(1(z0))))))))), 0'(2(1(0(0(2(1(1(z0)))))))), 1'(0(0(2(1(1(z0)))))), 0'(0(2(1(1(z0))))), 0'(2(1(1(z0)))), 1'(1(z0)), 1'(z0))
   0'(c_0(c_1(c_0(2(2(2(2(c_1(c_0(2(c_1(c_0(2(2(c_0(c_1(c_1(2(c_1(z0)))))))))))))))))))) -> c85(0'(0(1(0(0(0(0(2(2(2(2(0(0(0(1(0(0(2(1(1(z0)))))))))))))))))))), 0'(1(0(0(0(0(2(2(2(2(0(0(0(1(0(0(2(1(1(z0))))))))))))))))))), 1'(0(0(0(0(2(2(2(2(0(0(0(1(0(0(2(1(1(z0)))))))))))))))))), 0'(0(0(0(2(2(2(2(0(0(0(1(0(0(2(1(1(z0))))))))))))))))), 0'(0(0(2(2(2(2(0(0(0(1(0(0(2(1(1(z0)))))))))))))))), 0'(0(2(2(2(2(0(0(0(1(0(0(2(1(1(z0))))))))))))))), 0'(2(2(2(2(0(0(0(1(0(0(2(1(1(z0)))))))))))))), 0'(0(0(1(0(0(2(1(1(z0))))))))), 0'(0(1(0(0(2(1(1(z0)))))))), 0'(1(0(0(2(1(1(z0))))))), 1'(0(0(2(1(1(z0)))))), 0'(0(2(1(1(z0))))), 0'(2(1(1(z0)))), 1'(1(z0)), 1'(z0))
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   0'(c_0(c_1(2(c_0(c_1(2(c_0(c_1(c_1(c_1(c_0(2(2(c_1(c_0(2(c_1(c_1(2(z0)))))))))))))))))))) -> c89(0'(1(2(2(0(2(2(2(1(0(1(2(2(1(0(0(1(1(1(2(z0)))))))))))))))))))), 1'(2(2(0(2(2(2(1(0(1(2(2(1(0(0(1(1(1(2(z0))))))))))))))))))), 0'(2(2(2(1(0(1(2(2(1(0(0(1(1(1(2(z0)))))))))))))))), 1'(0(1(2(2(1(0(0(1(1(1(2(z0)))))))))))), 0'(1(2(2(1(0(0(1(1(1(2(z0))))))))))), 1'(2(2(1(0(0(1(1(1(2(z0)))))))))), 1'(0(0(1(1(1(2(z0))))))), 0'(0(1(1(1(2(z0)))))), 0'(1(1(1(2(z0))))), 1'(1(1(2(z0)))), 1'(1(2(z0))), 1'(2(z0)))
   0'(c_0(c_1(2(2(c_1(c_1(c_0(2(2(2(c_0(c_1(c_1(c_1(c_1(c_0(c_1(2(c_1(z0)))))))))))))))))))) -> c90(0'(1(2(2(0(1(1(1(2(0(2(0(0(1(2(0(2(1(2(0(z0)))))))))))))))))))), 1'(2(2(0(1(1(1(2(0(2(0(0(1(2(0(2(1(2(0(z0))))))))))))))))))), 0'(1(1(1(2(0(2(0(0(1(2(0(2(1(2(0(z0)))))))))))))))), 1'(1(1(2(0(2(0(0(1(2(0(2(1(2(0(z0))))))))))))))), 1'(1(2(0(2(0(0(1(2(0(2(1(2(0(z0)))))))))))))), 1'(2(0(2(0(0(1(2(0(2(1(2(0(z0))))))))))))), 0'(2(0(0(1(2(0(2(1(2(0(z0))))))))))), 0'(0(1(2(0(2(1(2(0(z0))))))))), 0'(1(2(0(2(1(2(0(z0)))))))), 1'(2(0(2(1(2(0(z0))))))), 0'(2(1(2(0(z0))))), 1'(2(0(z0))), 0'(z0))
   0'(c_1(c_0(c_1(c_0(c_1(c_1(c_0(c_0(c_0(c_1(c_0(2(c_1(c_1(2(c_0(c_1(c_0(c_1(z0)))))))))))))))))))) -> c93(0'(0(2(1(1(0(0(2(0(2(1(0(1(1(0(2(2(0(1(2(z0)))))))))))))))))))), 0'(2(1(1(0(0(2(0(2(1(0(1(1(0(2(2(0(1(2(z0))))))))))))))))))), 1'(1(0(0(2(0(2(1(0(1(1(0(2(2(0(1(2(z0))))))))))))))))), 1'(0(0(2(0(2(1(0(1(1(0(2(2(0(1(2(z0)))))))))))))))), 0'(0(2(0(2(1(0(1(1(0(2(2(0(1(2(z0))))))))))))))), 0'(2(0(2(1(0(1(1(0(2(2(0(1(2(z0)))))))))))))), 0'(2(1(0(1(1(0(2(2(0(1(2(z0)))))))))))), 1'(0(1(1(0(2(2(0(1(2(z0)))))))))), 0'(1(1(0(2(2(0(1(2(z0))))))))), 1'(1(0(2(2(0(1(2(z0)))))))), 1'(0(2(2(0(1(2(z0))))))), 0'(2(2(0(1(2(z0)))))), 0'(1(2(z0))), 1'(2(z0)))
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   0'(c_0(c_1(c_0(2(c_1(2(2(2(2(c_0(c_1(2(c_0(c_1(c_1(2(2(c_0(2(z0)))))))))))))))))))) -> c103(0'(0(2(1(1(0(0(2(2(2(0(1(2(2(0(1(2(2(0(2(z0)))))))))))))))))))), 0'(2(1(1(0(0(2(2(2(0(1(2(2(0(1(2(2(0(2(z0))))))))))))))))))), 1'(1(0(0(2(2(2(0(1(2(2(0(1(2(2(0(2(z0))))))))))))))))), 1'(0(0(2(2(2(0(1(2(2(0(1(2(2(0(2(z0)))))))))))))))), 0'(0(2(2(2(0(1(2(2(0(1(2(2(0(2(z0))))))))))))))), 0'(2(2(2(0(1(2(2(0(1(2(2(0(2(z0)))))))))))))), 0'(1(2(2(0(1(2(2(0(2(z0)))))))))), 1'(2(2(0(1(2(2(0(2(z0))))))))), 0'(1(2(2(0(2(z0)))))), 1'(2(2(0(2(z0))))), 0'(2(z0)))
   0'(c_1(c_1(c_0(c_1(2(c_1(2(c_0(2(2(c_1(c_0(c_0(2(c_0(c_1(c_0(c_1(c_1(z0)))))))))))))))))))) -> c104(0'(0(0(1(2(0(2(2(2(0(1(0(1(2(1(1(1(0(2(0(z0)))))))))))))))))))), 0'(0(1(2(0(2(2(2(0(1(0(1(2(1(1(1(0(2(0(z0))))))))))))))))))), 0'(1(2(0(2(2(2(0(1(0(1(2(1(1(1(0(2(0(z0)))))))))))))))))), 1'(2(0(2(2(2(0(1(0(1(2(1(1(1(0(2(0(z0))))))))))))))))), 0'(2(2(2(0(1(0(1(2(1(1(1(0(2(0(z0))))))))))))))), 0'(1(0(1(2(1(1(1(0(2(0(z0))))))))))), 1'(0(1(2(1(1(1(0(2(0(z0)))))))))), 0'(1(2(1(1(1(0(2(0(z0))))))))), 1'(2(1(1(1(0(2(0(z0)))))))), 1'(1(1(0(2(0(z0)))))), 1'(1(0(2(0(z0))))), 1'(0(2(0(z0)))), 0'(2(0(z0))), 0'(z0))
   1'(2(2(c_0(2(c_0(2(c_1(2(c_1(2(c_1(c_0(c_0(c_1(c_0(c_0(2(c_0(c_1(z0)))))))))))))))))))) -> c106(1'(0(1(2(0(1(0(0(1(0(0(0(2(1(0(0(1(0(0(2(z0)))))))))))))))))))), 0'(1(2(0(1(0(0(1(0(0(0(2(1(0(0(1(0(0(2(z0))))))))))))))))))), 1'(2(0(1(0(0(1(0(0(0(2(1(0(0(1(0(0(2(z0)))))))))))))))))), 0'(1(0(0(1(0(0(0(2(1(0(0(1(0(0(2(z0)))))))))))))))), 1'(0(0(1(0(0(0(2(1(0(0(1(0(0(2(z0))))))))))))))), 0'(0(1(0(0(0(2(1(0(0(1(0(0(2(z0)))))))))))))), 0'(1(0(0(0(2(1(0(0(1(0(0(2(z0))))))))))))), 1'(0(0(0(2(1(0(0(1(0(0(2(z0)))))))))))), 0'(0(0(2(1(0(0(1(0(0(2(z0))))))))))), 0'(0(2(1(0(0(1(0(0(2(z0)))))))))), 0'(2(1(0(0(1(0(0(2(z0))))))))), 1'(0(0(1(0(0(2(z0))))))), 0'(0(1(0(0(2(z0)))))), 0'(1(0(0(2(z0))))), 1'(0(0(2(z0)))), 0'(0(2(z0))), 0'(2(z0)))
   0'(2(c_1(c_1(c_1(c_0(2(c_1(c_1(c_0(c_1(c_0(2(2(c_0(c_0(2(c_0(2(c_1(z0)))))))))))))))))))) -> c9(0'(1(0(1(2(2(2(1(1(0(2(2(1(2(0(0(0(0(2(1(z0)))))))))))))))))))), 1'(0(1(2(2(2(1(1(0(2(2(1(2(0(0(0(0(2(1(z0))))))))))))))))))), 0'(1(2(2(2(1(1(0(2(2(1(2(0(0(0(0(2(1(z0)))))))))))))))))), 1'(1(0(2(2(1(2(0(0(0(0(2(1(z0))))))))))))), 1'(0(2(2(1(2(0(0(0(0(2(1(z0)))))))))))), 0'(2(2(1(2(0(0(0(0(2(1(z0))))))))))), 1'(2(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))), 1'(z0))
   0'(c_0(2(c_0(2(c_1(c_1(2(c_1(c_1(c_1(c_1(c_1(c_0(c_1(c_1(c_1(2(2(c_1(z0)))))))))))))))))))) -> c21(0'(2(0(0(2(1(1(2(2(0(2(0(1(2(2(2(1(1(1(2(z0)))))))))))))))))))), 0'(0(2(1(1(2(2(0(2(0(1(2(2(2(1(1(1(2(z0)))))))))))))))))), 0'(2(1(1(2(2(0(2(0(1(2(2(2(1(1(1(2(z0))))))))))))))))), 1'(1(2(2(0(2(0(1(2(2(2(1(1(1(2(z0))))))))))))))), 1'(2(2(0(2(0(1(2(2(2(1(1(1(2(z0)))))))))))))), 0'(2(0(1(2(2(2(1(1(1(2(z0))))))))))), 0'(1(2(2(2(1(1(1(2(z0))))))))), 1'(1(1(2(z0)))), 1'(1(2(z0))), 1'(2(z0)))
   0'(2(c_0(c_1(c_1(c_1(c_0(c_1(2(2(c_0(2(c_0(2(c_0(2(c_1(2(c_0(c_1(z0)))))))))))))))))))) -> c22(0'(2(2(0(1(2(2(2(2(1(0(2(1(2(0(0(2(2(2(1(z0)))))))))))))))))))), 0'(1(2(2(2(2(1(0(2(1(2(0(0(2(2(2(1(z0))))))))))))))))), 1'(0(2(1(2(0(0(2(2(2(1(z0))))))))))), 0'(2(1(2(0(0(2(2(2(1(z0)))))))))), 1'(2(0(0(2(2(2(1(z0)))))))), 0'(0(2(2(2(1(z0)))))), 0'(2(2(2(1(z0))))), 1'(z0))
   0'(2(c_0(2(c_1(c_0(c_0(c_1(2(c_0(2(c_0(c_1(c_0(c_1(c_1(c_1(2(2(c_1(z0)))))))))))))))))))) -> c31(0'(0(1(0(1(0(1(1(2(1(0(0(0(1(2(2(2(0(1(0(z0)))))))))))))))))))), 0'(1(0(1(0(1(1(2(1(0(0(0(1(2(2(2(0(1(0(z0))))))))))))))))))), 1'(0(1(0(1(1(2(1(0(0(0(1(2(2(2(0(1(0(z0)))))))))))))))))), 0'(1(0(1(1(2(1(0(0(0(1(2(2(2(0(1(0(z0))))))))))))))))), 1'(0(1(1(2(1(0(0(0(1(2(2(2(0(1(0(z0)))))))))))))))), 0'(1(1(2(1(0(0(0(1(2(2(2(0(1(0(z0))))))))))))))), 1'(1(2(1(0(0(0(1(2(2(2(0(1(0(z0)))))))))))))), 1'(2(1(0(0(0(1(2(2(2(0(1(0(z0))))))))))))), 1'(0(0(0(1(2(2(2(0(1(0(z0))))))))))), 0'(0(0(1(2(2(2(0(1(0(z0)))))))))), 0'(0(1(2(2(2(0(1(0(z0))))))))), 0'(1(2(2(2(0(1(0(z0)))))))), 0'(1(0(z0))), 1'(0(z0)), 0'(z0))
   0'(c_1(c_1(2(c_0(c_1(c_0(c_0(c_1(2(c_0(2(c_1(c_0(c_0(c_0(c_0(2(c_0(c_1(z0)))))))))))))))))))) -> c40(0'(0(2(1(2(2(2(1(2(1(0(0(0(2(2(1(0(1(2(0(z0)))))))))))))))))))), 0'(2(1(2(2(2(1(2(1(0(0(0(2(2(1(0(1(2(0(z0))))))))))))))))))), 1'(2(1(0(0(0(2(2(1(0(1(2(0(z0))))))))))))), 1'(0(0(0(2(2(1(0(1(2(0(z0))))))))))), 0'(0(0(2(2(1(0(1(2(0(z0)))))))))), 0'(0(2(2(1(0(1(2(0(z0))))))))), 0'(2(2(1(0(1(2(0(z0)))))))), 1'(0(1(2(0(z0))))), 0'(1(2(0(z0)))), 1'(2(0(z0))), 0'(z0))
   0'(c_1(c_0(2(2(2(c_1(2(c_1(c_1(c_1(2(c_1(c_0(2(c_1(c_1(c_1(c_0(c_1(z0)))))))))))))))))))) -> c61(0'(0(1(2(2(2(1(0(0(1(1(2(1(1(2(0(0(1(2(0(z0)))))))))))))))))))), 0'(1(2(2(2(1(0(0(1(1(2(1(1(2(0(0(1(2(0(z0))))))))))))))))))), 1'(0(0(1(1(2(1(1(2(0(0(1(2(0(z0)))))))))))))), 0'(0(1(1(2(1(1(2(0(0(1(2(0(z0))))))))))))), 0'(1(1(2(1(1(2(0(0(1(2(0(z0)))))))))))), 1'(1(2(1(1(2(0(0(1(2(0(z0))))))))))), 1'(2(1(1(2(0(0(1(2(0(z0)))))))))), 1'(1(2(0(0(1(2(0(z0)))))))), 1'(2(0(0(1(2(0(z0))))))), 0'(0(1(2(0(z0))))), 0'(1(2(0(z0)))), 1'(2(0(z0))), 0'(z0))
   0'(c_1(c_1(c_0(2(c_1(c_1(c_0(c_0(c_1(c_1(c_1(2(2(2(c_0(2(c_0(c_0(2(z0)))))))))))))))))))) -> c63(0'(1(2(1(0(2(1(0(1(2(2(2(0(0(2(0(2(2(1(2(z0)))))))))))))))))))), 1'(2(1(0(2(1(0(1(2(2(2(0(0(2(0(2(2(1(2(z0))))))))))))))))))), 1'(0(2(1(0(1(2(2(2(0(0(2(0(2(2(1(2(z0))))))))))))))))), 0'(2(1(0(1(2(2(2(0(0(2(0(2(2(1(2(z0)))))))))))))))), 1'(0(1(2(2(2(0(0(2(0(2(2(1(2(z0)))))))))))))), 0'(1(2(2(2(0(0(2(0(2(2(1(2(z0))))))))))))), 0'(0(2(0(2(2(1(2(z0)))))))), 0'(2(0(2(2(1(2(z0))))))), 0'(2(2(1(2(z0))))), 1'(2(z0)))
   0'(c_1(c_1(c_1(c_1(2(c_0(c_0(c_0(2(2(2(2(c_1(c_0(2(2(2(c_0(c_1(z0)))))))))))))))))))) -> c65(0'(2(0(0(0(1(2(0(1(2(2(2(1(2(1(1(1(2(1(2(z0)))))))))))))))))))), 0'(0(0(1(2(0(1(2(2(2(1(2(1(1(1(2(1(2(z0)))))))))))))))))), 0'(0(1(2(0(1(2(2(2(1(2(1(1(1(2(1(2(z0))))))))))))))))), 0'(1(2(0(1(2(2(2(1(2(1(1(1(2(1(2(z0)))))))))))))))), 1'(2(0(1(2(2(2(1(2(1(1(1(2(1(2(z0))))))))))))))), 0'(1(2(2(2(1(2(1(1(1(2(1(2(z0))))))))))))), 1'(2(1(1(1(2(1(2(z0)))))))), 1'(1(1(2(1(2(z0)))))), 1'(1(2(1(2(z0))))), 1'(2(1(2(z0)))), 1'(2(z0)))
   0'(2(c_1(c_1(c_1(c_0(c_0(c_1(2(c_1(2(c_1(c_1(2(c_0(2(c_1(c_0(c_1(2(z0)))))))))))))))))))) -> c74(0'(1(0(1(0(2(0(0(0(1(1(1(2(0(0(0(1(2(2(2(z0)))))))))))))))))))), 1'(0(1(0(2(0(0(0(1(1(1(2(0(0(0(1(2(2(2(z0))))))))))))))))))), 0'(1(0(2(0(0(0(1(1(1(2(0(0(0(1(2(2(2(z0)))))))))))))))))), 1'(0(2(0(0(0(1(1(1(2(0(0(0(1(2(2(2(z0))))))))))))))))), 0'(2(0(0(0(1(1(1(2(0(0(0(1(2(2(2(z0)))))))))))))))), 0'(0(0(1(1(1(2(0(0(0(1(2(2(2(z0)))))))))))))), 0'(0(1(1(1(2(0(0(0(1(2(2(2(z0))))))))))))), 0'(1(1(1(2(0(0(0(1(2(2(2(z0)))))))))))), 1'(1(1(2(0(0(0(1(2(2(2(z0))))))))))), 1'(1(2(0(0(0(1(2(2(2(z0)))))))))), 1'(2(0(0(0(1(2(2(2(z0))))))))), 0'(0(0(1(2(2(2(z0))))))), 0'(0(1(2(2(2(z0)))))), 0'(1(2(2(2(z0))))))
   0'(2(2(c_1(c_1(c_1(c_1(c_0(c_0(c_1(c_0(c_1(c_0(2(2(c_1(c_1(2(2(c_1(z0)))))))))))))))))))) -> c75(0'(2(2(2(0(2(2(1(1(2(2(2(2(0(2(0(0(2(0(2(z0)))))))))))))))))))), 0'(2(2(1(1(2(2(2(2(0(2(0(0(2(0(2(z0)))))))))))))))), 1'(1(2(2(2(2(0(2(0(0(2(0(2(z0))))))))))))), 0'(2(0(0(2(0(2(z0))))))), 0'(0(2(0(2(z0))))), 0'(2(0(2(z0)))), 0'(2(z0)))
   0'(c_1(c_0(c_1(c_1(2(2(c_0(c_0(c_0(2(2(2(c_1(c_1(c_0(c_1(c_1(c_1(c_1(z0)))))))))))))))))))) -> c81(0'(0(2(2(2(2(2(2(1(1(0(1(2(2(0(1(2(0(2(1(z0)))))))))))))))))))), 1'(1(0(1(2(2(0(1(2(0(2(1(z0)))))))))))), 1'(0(1(2(2(0(1(2(0(2(1(z0))))))))))), 0'(1(2(2(0(1(2(0(2(1(z0)))))))))), 1'(2(2(0(1(2(0(2(1(z0))))))))), 0'(1(2(0(2(1(z0)))))), 1'(2(0(2(1(z0))))), 0'(2(1(z0))), 1'(z0))
   0'(c_0(c_1(c_1(c_0(2(2(c_1(c_1(c_1(c_1(c_1(2(c_0(2(c_1(c_0(2(2(c_1(z0)))))))))))))))))))) -> c82(0'(2(0(1(1(0(1(2(2(2(0(0(2(2(2(0(2(0(0(0(z0)))))))))))))))))))), 0'(1(1(0(1(2(2(2(0(0(2(2(2(0(2(0(0(0(z0)))))))))))))))))), 1'(1(0(1(2(2(2(0(0(2(2(2(0(2(0(0(0(z0))))))))))))))))), 1'(0(1(2(2(2(0(0(2(2(2(0(2(0(0(0(z0)))))))))))))))), 0'(1(2(2(2(0(0(2(2(2(0(2(0(0(0(z0))))))))))))))), 0'(0(2(2(2(0(2(0(0(0(z0)))))))))), 0'(2(2(2(0(2(0(0(0(z0))))))))), 0'(2(0(0(0(z0))))), 0'(0(0(z0))), 0'(0(z0)), 0'(z0))
   0'(c_1(c_1(c_0(c_1(c_1(c_1(c_1(2(c_0(2(c_0(2(2(2(c_0(c_0(c_0(2(c_1(z0)))))))))))))))))))) -> c86(0'(1(0(1(2(2(2(0(2(2(1(1(2(2(2(0(0(0(1(0(z0)))))))))))))))))))), 1'(0(1(2(2(2(0(2(2(1(1(2(2(2(0(0(0(1(0(z0))))))))))))))))))), 0'(1(2(2(2(0(2(2(1(1(2(2(2(0(0(0(1(0(z0)))))))))))))))))), 0'(2(2(1(1(2(2(2(0(0(0(1(0(z0))))))))))))), 1'(1(2(2(2(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_1(c_0(c_1(2(2(2(c_1(c_1(2(c_1(2(c_1(c_0(2(c_0(c_1(2(c_0(z0)))))))))))))))))))) -> c87(0'(2(0(1(1(2(2(2(1(0(0(2(1(0(0(0(0(2(0(2(z0)))))))))))))))))))), 0'(1(1(2(2(2(1(0(0(2(1(0(0(0(0(2(0(2(z0)))))))))))))))))), 1'(1(2(2(2(1(0(0(2(1(0(0(0(0(2(0(2(z0))))))))))))))))), 1'(0(0(2(1(0(0(0(0(2(0(2(z0)))))))))))), 0'(0(2(1(0(0(0(0(2(0(2(z0))))))))))), 0'(2(1(0(0(0(0(2(0(2(z0)))))))))), 1'(0(0(0(0(2(0(2(z0)))))))), 0'(0(0(0(2(0(2(z0))))))), 0'(0(0(2(0(2(z0)))))), 0'(0(2(0(2(z0))))), 0'(2(0(2(z0)))), 0'(2(z0)))
   0'(c_1(c_1(2(c_0(2(c_0(2(2(c_1(c_1(2(c_0(c_1(2(2(c_0(c_1(c_0(c_0(z0)))))))))))))))))))) -> c91(0'(1(2(0(0(0(2(1(2(0(1(2(2(2(2(0(1(1(0(1(z0)))))))))))))))))))), 1'(2(0(0(0(2(1(2(0(1(2(2(2(2(0(1(1(0(1(z0))))))))))))))))))), 0'(0(0(2(1(2(0(1(2(2(2(2(0(1(1(0(1(z0))))))))))))))))), 0'(0(2(1(2(0(1(2(2(2(2(0(1(1(0(1(z0)))))))))))))))), 0'(2(1(2(0(1(2(2(2(2(0(1(1(0(1(z0))))))))))))))), 1'(2(0(1(2(2(2(2(0(1(1(0(1(z0))))))))))))), 0'(1(2(2(2(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))
   0'(2(c_1(c_1(2(c_0(2(2(2(c_0(c_1(2(c_0(2(c_0(2(2(c_0(c_0(c_1(z0)))))))))))))))))))) -> c92(0'(0(2(1(2(0(0(0(2(0(1(2(2(2(1(0(1(1(1(0(z0)))))))))))))))))))), 0'(2(1(2(0(0(0(2(0(1(2(2(2(1(0(1(1(1(0(z0))))))))))))))))))), 1'(2(0(0(0(2(0(1(2(2(2(1(0(1(1(1(0(z0))))))))))))))))), 0'(0(0(2(0(1(2(2(2(1(0(1(1(1(0(z0))))))))))))))), 0'(0(2(0(1(2(2(2(1(0(1(1(1(0(z0)))))))))))))), 0'(2(0(1(2(2(2(1(0(1(1(1(0(z0))))))))))))), 0'(1(2(2(2(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))
   0'(c_1(2(c_1(c_0(c_1(2(2(c_1(c_1(c_0(c_0(c_1(c_1(2(2(c_1(c_0(c_1(c_1(z0)))))))))))))))))))) -> c96(0'(2(2(2(0(2(0(2(0(1(2(1(2(2(2(1(0(0(1(0(z0)))))))))))))))))))), 0'(2(0(2(0(1(2(1(2(2(2(1(0(0(1(0(z0)))))))))))))))), 0'(2(0(1(2(1(2(2(2(1(0(0(1(0(z0)))))))))))))), 0'(1(2(1(2(2(2(1(0(0(1(0(z0)))))))))))), 1'(2(1(2(2(2(1(0(0(1(0(z0))))))))))), 1'(0(0(1(0(z0))))), 0'(0(1(0(z0)))), 0'(1(0(z0))), 1'(0(z0)), 0'(z0))
   0'(2(2(c_1(c_1(2(2(c_1(c_0(2(c_1(2(c_1(c_1(2(2(2(c_0(2(c_0(z0)))))))))))))))))))) -> c97(0'(2(1(2(2(2(1(0(0(1(0(0(0(1(2(1(1(2(2(1(z0)))))))))))))))))))), 1'(0(0(1(0(0(0(1(2(1(1(2(2(1(z0)))))))))))))), 0'(0(1(0(0(0(1(2(1(1(2(2(1(z0))))))))))))), 0'(1(0(0(0(1(2(1(1(2(2(1(z0)))))))))))), 1'(0(0(0(1(2(1(1(2(2(1(z0))))))))))), 0'(0(0(1(2(1(1(2(2(1(z0)))))))))), 0'(0(1(2(1(1(2(2(1(z0))))))))), 0'(1(2(1(1(2(2(1(z0)))))))), 1'(2(1(1(2(2(1(z0))))))), 1'(1(2(2(1(z0))))), 1'(2(2(1(z0)))), 1'(z0))
   ENCODE_0(z0) -> c5(0'(encArg(z0)))
   ENCODE_1(z0) -> c5(1'(encArg(z0)))
S tuples:
   0'(c_0(c_1(c_0(2(2(c_1(2(c_0(c_0(c_1(c_1(2(2(2(c_1(c_1(2(c_1(c_1(z0)))))))))))))))))))) -> c7(0'(2(0(2(2(0(0(1(2(0(2(0(0(1(1(0(0(2(1(1(z0)))))))))))))))))))), 0'(2(2(0(0(1(2(0(2(0(0(1(1(0(0(2(1(1(z0)))))))))))))))))), 0'(0(1(2(0(2(0(0(1(1(0(0(2(1(1(z0))))))))))))))), 0'(1(2(0(2(0(0(1(1(0(0(2(1(1(z0)))))))))))))), 1'(2(0(2(0(0(1(1(0(0(2(1(1(z0))))))))))))), 0'(2(0(0(1(1(0(0(2(1(1(z0))))))))))), 0'(0(1(1(0(0(2(1(1(z0))))))))), 0'(1(1(0(0(2(1(1(z0)))))))), 1'(1(0(0(2(1(1(z0))))))), 1'(0(0(2(1(1(z0)))))), 0'(0(2(1(1(z0))))), 0'(2(1(1(z0)))), 1'(1(z0)), 1'(z0))
   0'(c_1(c_0(c_1(2(c_1(c_1(c_1(c_0(c_0(c_1(c_1(2(2(2(c_0(2(c_0(c_1(2(z0)))))))))))))))))))) -> c8(0'(2(1(1(2(1(0(2(0(1(1(0(2(0(1(0(2(2(0(2(z0)))))))))))))))))))), 1'(1(2(1(0(2(0(1(1(0(2(0(1(0(2(2(0(2(z0)))))))))))))))))), 1'(2(1(0(2(0(1(1(0(2(0(1(0(2(2(0(2(z0))))))))))))))))), 1'(0(2(0(1(1(0(2(0(1(0(2(2(0(2(z0))))))))))))))), 0'(2(0(1(1(0(2(0(1(0(2(2(0(2(z0)))))))))))))), 0'(1(1(0(2(0(1(0(2(2(0(2(z0)))))))))))), 1'(1(0(2(0(1(0(2(2(0(2(z0))))))))))), 1'(0(2(0(1(0(2(2(0(2(z0)))))))))), 0'(2(0(1(0(2(2(0(2(z0))))))))), 0'(1(0(2(2(0(2(z0))))))), 1'(0(2(2(0(2(z0)))))), 0'(2(2(0(2(z0))))), 0'(2(z0)))
   0'(c_1(c_0(2(2(c_1(c_1(c_0(c_1(c_0(2(2(c_1(c_0(2(c_0(c_1(c_0(c_1(c_1(z0)))))))))))))))))))) -> c10(0'(1(2(0(0(2(2(0(0(0(0(2(1(2(1(0(1(2(0(2(z0)))))))))))))))))))), 1'(2(0(0(2(2(0(0(0(0(2(1(2(1(0(1(2(0(2(z0))))))))))))))))))), 0'(0(2(2(0(0(0(0(2(1(2(1(0(1(2(0(2(z0))))))))))))))))), 0'(2(2(0(0(0(0(2(1(2(1(0(1(2(0(2(z0)))))))))))))))), 0'(0(0(0(2(1(2(1(0(1(2(0(2(z0))))))))))))), 0'(0(0(2(1(2(1(0(1(2(0(2(z0)))))))))))), 0'(0(2(1(2(1(0(1(2(0(2(z0))))))))))), 0'(2(1(2(1(0(1(2(0(2(z0)))))))))), 1'(2(1(0(1(2(0(2(z0)))))))), 1'(0(1(2(0(2(z0)))))), 0'(1(2(0(2(z0))))), 1'(2(0(2(z0)))), 0'(2(z0)))
   0'(2(c_1(2(c_0(c_1(c_1(c_1(2(c_0(c_1(c_1(2(c_1(2(c_0(2(c_0(2(c_0(z0)))))))))))))))))))) -> c11(0'(1(2(1(1(0(1(1(2(1(2(0(1(0(1(2(2(0(2(2(z0)))))))))))))))))))), 1'(2(1(1(0(1(1(2(1(2(0(1(0(1(2(2(0(2(2(z0))))))))))))))))))), 1'(1(0(1(1(2(1(2(0(1(0(1(2(2(0(2(2(z0))))))))))))))))), 1'(0(1(1(2(1(2(0(1(0(1(2(2(0(2(2(z0)))))))))))))))), 0'(1(1(2(1(2(0(1(0(1(2(2(0(2(2(z0))))))))))))))), 1'(1(2(1(2(0(1(0(1(2(2(0(2(2(z0)))))))))))))), 1'(2(1(2(0(1(0(1(2(2(0(2(2(z0))))))))))))), 1'(2(0(1(0(1(2(2(0(2(2(z0))))))))))), 0'(1(0(1(2(2(0(2(2(z0))))))))), 1'(0(1(2(2(0(2(2(z0)))))))), 0'(1(2(2(0(2(2(z0))))))), 1'(2(2(0(2(2(z0)))))), 0'(2(2(z0))))
   0'(c_0(c_1(c_0(c_0(c_1(c_1(2(c_1(c_1(2(2(c_1(c_1(2(2(c_1(c_1(c_0(2(z0)))))))))))))))))))) -> c12(0'(1(1(0(0(2(0(0(2(0(2(1(1(1(1(1(0(2(0(2(z0)))))))))))))))))))), 1'(1(0(0(2(0(0(2(0(2(1(1(1(1(1(0(2(0(2(z0))))))))))))))))))), 1'(0(0(2(0(0(2(0(2(1(1(1(1(1(0(2(0(2(z0)))))))))))))))))), 0'(0(2(0(0(2(0(2(1(1(1(1(1(0(2(0(2(z0))))))))))))))))), 0'(2(0(0(2(0(2(1(1(1(1(1(0(2(0(2(z0)))))))))))))))), 0'(0(2(0(2(1(1(1(1(1(0(2(0(2(z0)))))))))))))), 0'(2(0(2(1(1(1(1(1(0(2(0(2(z0))))))))))))), 0'(2(1(1(1(1(1(0(2(0(2(z0))))))))))), 1'(1(1(1(1(0(2(0(2(z0))))))))), 1'(1(1(1(0(2(0(2(z0)))))))), 1'(1(1(0(2(0(2(z0))))))), 1'(1(0(2(0(2(z0)))))), 1'(0(2(0(2(z0))))), 0'(2(0(2(z0)))), 0'(2(z0)))
   0'(c_1(c_1(c_0(c_1(c_0(2(c_1(c_1(2(2(c_0(2(c_0(2(c_0(2(2(c_0(c_1(z0)))))))))))))))))))) -> c13(0'(2(0(2(1(0(0(1(2(2(1(2(2(1(2(2(1(2(2(0(z0)))))))))))))))))))), 0'(2(1(0(0(1(2(2(1(2(2(1(2(2(1(2(2(0(z0)))))))))))))))))), 1'(0(0(1(2(2(1(2(2(1(2(2(1(2(2(0(z0)))))))))))))))), 0'(0(1(2(2(1(2(2(1(2(2(1(2(2(0(z0))))))))))))))), 0'(1(2(2(1(2(2(1(2(2(1(2(2(0(z0)))))))))))))), 1'(2(2(1(2(2(1(2(2(1(2(2(0(z0))))))))))))), 1'(2(2(1(2(2(1(2(2(0(z0)))))))))), 1'(2(2(1(2(2(0(z0))))))), 1'(2(2(0(z0)))), 0'(z0))
   0'(c_1(c_0(c_1(c_1(c_1(c_1(2(c_0(2(2(2(2(2(2(c_1(c_0(2(c_0(c_1(z0)))))))))))))))))))) -> c14(0'(0(0(2(2(1(0(0(1(2(1(0(2(2(1(0(0(2(2(1(z0)))))))))))))))))))), 0'(0(2(2(1(0(0(1(2(1(0(2(2(1(0(0(2(2(1(z0))))))))))))))))))), 0'(2(2(1(0(0(1(2(1(0(2(2(1(0(0(2(2(1(z0)))))))))))))))))), 1'(0(0(1(2(1(0(2(2(1(0(0(2(2(1(z0))))))))))))))), 0'(0(1(2(1(0(2(2(1(0(0(2(2(1(z0)))))))))))))), 0'(1(2(1(0(2(2(1(0(0(2(2(1(z0))))))))))))), 1'(2(1(0(2(2(1(0(0(2(2(1(z0)))))))))))), 1'(0(2(2(1(0(0(2(2(1(z0)))))))))), 0'(2(2(1(0(0(2(2(1(z0))))))))), 1'(0(0(2(2(1(z0)))))), 0'(0(2(2(1(z0))))), 0'(2(2(1(z0)))), 1'(z0))
   0'(c_0(2(2(c_0(c_0(c_1(c_0(2(2(c_1(c_1(2(2(c_1(c_0(2(2(c_0(c_1(z0)))))))))))))))))))) -> c15(0'(2(0(2(2(1(0(0(2(2(1(2(1(1(0(0(2(0(2(1(z0)))))))))))))))))))), 0'(2(2(1(0(0(2(2(1(2(1(1(0(0(2(0(2(1(z0)))))))))))))))))), 1'(0(0(2(2(1(2(1(1(0(0(2(0(2(1(z0))))))))))))))), 0'(0(2(2(1(2(1(1(0(0(2(0(2(1(z0)))))))))))))), 0'(2(2(1(2(1(1(0(0(2(0(2(1(z0))))))))))))), 1'(2(1(1(0(0(2(0(2(1(z0)))))))))), 1'(1(0(0(2(0(2(1(z0)))))))), 1'(0(0(2(0(2(1(z0))))))), 0'(0(2(0(2(1(z0)))))), 0'(2(0(2(1(z0))))), 0'(2(1(z0))), 1'(z0))
   0'(c_0(2(2(c_1(c_1(c_1(c_0(c_1(c_0(c_1(c_0(c_1(2(2(2(c_1(2(c_0(c_0(z0)))))))))))))))))))) -> c16(0'(1(0(2(0(2(2(1(0(1(0(2(1(2(1(0(1(1(1(2(z0)))))))))))))))))))), 1'(0(2(0(2(2(1(0(1(0(2(1(2(1(0(1(1(1(2(z0))))))))))))))))))), 0'(2(0(2(2(1(0(1(0(2(1(2(1(0(1(1(1(2(z0)))))))))))))))))), 0'(2(2(1(0(1(0(2(1(2(1(0(1(1(1(2(z0)))))))))))))))), 1'(0(1(0(2(1(2(1(0(1(1(1(2(z0))))))))))))), 0'(1(0(2(1(2(1(0(1(1(1(2(z0)))))))))))), 1'(0(2(1(2(1(0(1(1(1(2(z0))))))))))), 0'(2(1(2(1(0(1(1(1(2(z0)))))))))), 1'(2(1(0(1(1(1(2(z0)))))))), 1'(0(1(1(1(2(z0)))))), 0'(1(1(1(2(z0))))), 1'(1(1(2(z0)))), 1'(1(2(z0))), 1'(2(z0)))
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   0'(c_1(c_1(c_0(2(2(c_0(c_1(2(2(2(c_0(2(2(c_1(2(c_1(2(c_1(c_0(z0)))))))))))))))))))) -> c24(0'(0(2(0(0(2(0(2(1(0(2(2(2(0(0(0(2(1(1(2(z0)))))))))))))))))))), 0'(2(0(0(2(0(2(1(0(2(2(2(0(0(0(2(1(1(2(z0))))))))))))))))))), 0'(0(2(0(2(1(0(2(2(2(0(0(0(2(1(1(2(z0))))))))))))))))), 0'(2(0(2(1(0(2(2(2(0(0(0(2(1(1(2(z0)))))))))))))))), 0'(2(1(0(2(2(2(0(0(0(2(1(1(2(z0)))))))))))))), 1'(0(2(2(2(0(0(0(2(1(1(2(z0)))))))))))), 0'(2(2(2(0(0(0(2(1(1(2(z0))))))))))), 0'(0(0(2(1(1(2(z0))))))), 0'(0(2(1(1(2(z0)))))), 0'(2(1(1(2(z0))))), 1'(1(2(z0))), 1'(2(z0)))
   0'(c_1(c_0(2(c_0(c_0(c_1(2(2(2(c_1(2(2(2(c_0(c_0(c_0(c_1(2(2(z0)))))))))))))))))))) -> c25(0'(1(0(1(1(2(1(0(0(1(0(0(2(2(2(1(0(2(0(0(z0)))))))))))))))))))), 1'(0(1(1(2(1(0(0(1(0(0(2(2(2(1(0(2(0(0(z0))))))))))))))))))), 0'(1(1(2(1(0(0(1(0(0(2(2(2(1(0(2(0(0(z0)))))))))))))))))), 1'(1(2(1(0(0(1(0(0(2(2(2(1(0(2(0(0(z0))))))))))))))))), 1'(2(1(0(0(1(0(0(2(2(2(1(0(2(0(0(z0)))))))))))))))), 1'(0(0(1(0(0(2(2(2(1(0(2(0(0(z0)))))))))))))), 0'(0(1(0(0(2(2(2(1(0(2(0(0(z0))))))))))))), 0'(1(0(0(2(2(2(1(0(2(0(0(z0)))))))))))), 1'(0(0(2(2(2(1(0(2(0(0(z0))))))))))), 0'(0(2(2(2(1(0(2(0(0(z0)))))))))), 0'(2(2(2(1(0(2(0(0(z0))))))))), 1'(0(2(0(0(z0))))), 0'(2(0(0(z0)))), 0'(0(z0)), 0'(z0))
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   0'(c_0(2(c_0(c_0(c_0(2(c_1(2(2(2(c_1(c_1(c_1(c_0(2(c_1(c_1(c_0(c_0(z0)))))))))))))))))))) -> c27(0'(2(0(1(2(0(1(2(0(1(0(1(2(2(1(2(1(0(0(0(z0)))))))))))))))))))), 0'(1(2(0(1(2(0(1(0(1(2(2(1(2(1(0(0(0(z0)))))))))))))))))), 1'(2(0(1(2(0(1(0(1(2(2(1(2(1(0(0(0(z0))))))))))))))))), 0'(1(2(0(1(0(1(2(2(1(2(1(0(0(0(z0))))))))))))))), 1'(2(0(1(0(1(2(2(1(2(1(0(0(0(z0)))))))))))))), 0'(1(0(1(2(2(1(2(1(0(0(0(z0)))))))))))), 1'(0(1(2(2(1(2(1(0(0(0(z0))))))))))), 0'(1(2(2(1(2(1(0(0(0(z0)))))))))), 1'(2(2(1(2(1(0(0(0(z0))))))))), 1'(2(1(0(0(0(z0)))))), 1'(0(0(0(z0)))), 0'(0(0(z0))), 0'(0(z0)), 0'(z0))
   0'(c_1(c_0(2(c_1(c_1(c_1(c_0(2(2(c_1(c_1(c_1(c_1(2(c_0(2(c_1(c_0(c_0(z0)))))))))))))))))))) -> c28(0'(2(1(0(2(0(0(1(2(2(0(0(0(1(1(1(1(0(2(2(z0)))))))))))))))))))), 1'(0(2(0(0(1(2(2(0(0(0(1(1(1(1(0(2(2(z0)))))))))))))))))), 0'(2(0(0(1(2(2(0(0(0(1(1(1(1(0(2(2(z0))))))))))))))))), 0'(0(1(2(2(0(0(0(1(1(1(1(0(2(2(z0))))))))))))))), 0'(1(2(2(0(0(0(1(1(1(1(0(2(2(z0)))))))))))))), 1'(2(2(0(0(0(1(1(1(1(0(2(2(z0))))))))))))), 0'(0(0(1(1(1(1(0(2(2(z0)))))))))), 0'(0(1(1(1(1(0(2(2(z0))))))))), 0'(1(1(1(1(0(2(2(z0)))))))), 1'(1(1(1(0(2(2(z0))))))), 1'(1(1(0(2(2(z0)))))), 1'(1(0(2(2(z0))))), 1'(0(2(2(z0)))), 0'(2(2(z0))))
   0'(2(c_1(c_1(c_0(2(c_1(c_1(c_1(c_1(2(2(c_0(c_1(c_1(c_1(2(2(c_1(c_1(z0)))))))))))))))))))) -> c29(0'(0(2(0(0(1(0(2(2(1(0(1(1(0(0(2(0(2(2(1(z0)))))))))))))))))))), 0'(2(0(0(1(0(2(2(1(0(1(1(0(0(2(0(2(2(1(z0))))))))))))))))))), 0'(0(1(0(2(2(1(0(1(1(0(0(2(0(2(2(1(z0))))))))))))))))), 0'(1(0(2(2(1(0(1(1(0(0(2(0(2(2(1(z0)))))))))))))))), 1'(0(2(2(1(0(1(1(0(0(2(0(2(2(1(z0))))))))))))))), 0'(2(2(1(0(1(1(0(0(2(0(2(2(1(z0)))))))))))))), 1'(0(1(1(0(0(2(0(2(2(1(z0))))))))))), 0'(1(1(0(0(2(0(2(2(1(z0)))))))))), 1'(1(0(0(2(0(2(2(1(z0))))))))), 1'(0(0(2(0(2(2(1(z0)))))))), 0'(0(2(0(2(2(1(z0))))))), 0'(2(0(2(2(1(z0)))))), 0'(2(2(1(z0)))), 1'(z0))
   0'(c_0(2(2(2(c_0(c_1(c_0(c_1(c_1(c_1(c_0(c_1(c_0(c_0(c_0(c_1(c_1(2(c_0(z0)))))))))))))))))))) -> c30(0'(2(0(2(2(2(2(0(2(2(1(0(0(0(0(0(0(2(0(0(z0)))))))))))))))))))), 0'(2(2(2(2(0(2(2(1(0(0(0(0(0(0(2(0(0(z0)))))))))))))))))), 0'(2(2(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)))), 0'(0(z0)), 0'(z0))
   0'(2(c_0(2(c_1(2(c_1(2(2(c_0(2(c_1(c_1(c_1(2(c_1(c_1(c_1(c_1(c_1(z0)))))))))))))))))))) -> c32(0'(1(1(1(0(2(1(0(1(2(1(0(0(0(2(1(1(2(0(1(z0)))))))))))))))))))), 1'(1(1(0(2(1(0(1(2(1(0(0(0(2(1(1(2(0(1(z0))))))))))))))))))), 1'(1(0(2(1(0(1(2(1(0(0(0(2(1(1(2(0(1(z0)))))))))))))))))), 1'(0(2(1(0(1(2(1(0(0(0(2(1(1(2(0(1(z0))))))))))))))))), 0'(2(1(0(1(2(1(0(0(0(2(1(1(2(0(1(z0)))))))))))))))), 1'(0(1(2(1(0(0(0(2(1(1(2(0(1(z0)))))))))))))), 0'(1(2(1(0(0(0(2(1(1(2(0(1(z0))))))))))))), 1'(2(1(0(0(0(2(1(1(2(0(1(z0)))))))))))), 1'(0(0(0(2(1(1(2(0(1(z0)))))))))), 0'(0(0(2(1(1(2(0(1(z0))))))))), 0'(0(2(1(1(2(0(1(z0)))))))), 0'(2(1(1(2(0(1(z0))))))), 1'(1(2(0(1(z0))))), 1'(2(0(1(z0)))), 0'(1(z0)), 1'(z0))
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   0'(c_1(2(c_0(c_0(c_1(2(c_0(2(c_0(c_0(c_1(c_0(2(c_0(c_0(2(c_1(2(c_0(z0)))))))))))))))))))) -> c44(0'(2(1(2(0(0(0(2(0(0(2(1(2(2(0(2(2(0(0(0(z0)))))))))))))))))))), 1'(2(0(0(0(2(0(0(2(1(2(2(0(2(2(0(0(0(z0)))))))))))))))))), 0'(0(0(2(0(0(2(1(2(2(0(2(2(0(0(0(z0)))))))))))))))), 0'(0(2(0(0(2(1(2(2(0(2(2(0(0(0(z0))))))))))))))), 0'(2(0(0(2(1(2(2(0(2(2(0(0(0(z0)))))))))))))), 0'(0(2(1(2(2(0(2(2(0(0(0(z0)))))))))))), 0'(2(1(2(2(0(2(2(0(0(0(z0))))))))))), 1'(2(2(0(2(2(0(0(0(z0))))))))), 0'(2(2(0(0(0(z0)))))), 0'(0(0(z0))), 0'(0(z0)), 0'(z0))
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   0'(2(2(c_1(2(c_0(c_1(c_1(c_0(c_0(c_1(c_1(2(c_0(c_1(c_1(c_0(2(2(2(z0)))))))))))))))))))) -> c76(0'(2(2(2(0(2(0(0(2(2(0(0(2(1(1(0(0(2(1(1(z0)))))))))))))))))))), 0'(2(0(0(2(2(0(0(2(1(1(0(0(2(1(1(z0)))))))))))))))), 0'(0(2(2(0(0(2(1(1(0(0(2(1(1(z0)))))))))))))), 0'(2(2(0(0(2(1(1(0(0(2(1(1(z0))))))))))))), 0'(0(2(1(1(0(0(2(1(1(z0)))))))))), 0'(2(1(1(0(0(2(1(1(z0))))))))), 1'(1(0(0(2(1(1(z0))))))), 1'(0(0(2(1(1(z0)))))), 0'(0(2(1(1(z0))))), 0'(2(1(1(z0)))), 1'(1(z0)), 1'(z0))
   0'(2(c_0(c_0(c_1(c_0(2(c_1(c_0(2(2(c_0(c_1(c_0(2(c_1(2(c_1(c_1(2(z0)))))))))))))))))))) -> c77(0'(2(1(0(2(1(0(2(1(2(1(0(1(2(0(1(0(0(0(0(z0)))))))))))))))))))), 1'(0(2(1(0(2(1(2(1(0(1(2(0(1(0(0(0(0(z0)))))))))))))))))), 0'(2(1(0(2(1(2(1(0(1(2(0(1(0(0(0(0(z0))))))))))))))))), 1'(0(2(1(2(1(0(1(2(0(1(0(0(0(0(z0))))))))))))))), 0'(2(1(2(1(0(1(2(0(1(0(0(0(0(z0)))))))))))))), 1'(2(1(0(1(2(0(1(0(0(0(0(z0)))))))))))), 1'(0(1(2(0(1(0(0(0(0(z0)))))))))), 0'(1(2(0(1(0(0(0(0(z0))))))))), 1'(2(0(1(0(0(0(0(z0)))))))), 0'(1(0(0(0(0(z0)))))), 1'(0(0(0(0(z0))))), 0'(0(0(0(z0)))), 0'(0(0(z0))), 0'(0(z0)), 0'(z0))
   0'(2(2(c_1(c_0(c_0(c_1(c_1(2(c_0(2(2(c_0(c_1(c_1(2(2(c_1(c_0(c_0(z0)))))))))))))))))))) -> c78(0'(2(1(0(2(2(0(0(0(0(0(1(2(1(0(1(1(2(1(1(z0)))))))))))))))))))), 1'(0(2(2(0(0(0(0(0(1(2(1(0(1(1(2(1(1(z0)))))))))))))))))), 0'(2(2(0(0(0(0(0(1(2(1(0(1(1(2(1(1(z0))))))))))))))))), 0'(0(0(0(0(1(2(1(0(1(1(2(1(1(z0)))))))))))))), 0'(0(0(0(1(2(1(0(1(1(2(1(1(z0))))))))))))), 0'(0(0(1(2(1(0(1(1(2(1(1(z0)))))))))))), 0'(0(1(2(1(0(1(1(2(1(1(z0))))))))))), 0'(1(2(1(0(1(1(2(1(1(z0)))))))))), 1'(2(1(0(1(1(2(1(1(z0))))))))), 1'(0(1(1(2(1(1(z0))))))), 0'(1(1(2(1(1(z0)))))), 1'(1(2(1(1(z0))))), 1'(2(1(1(z0)))), 1'(1(z0)), 1'(z0))
   0'(c_1(2(2(2(2(2(2(2(c_1(c_0(2(2(c_1(c_1(2(c_1(2(c_1(c_1(z0)))))))))))))))))))) -> c79(0'(2(1(0(2(1(0(1(2(0(0(0(1(2(0(0(0(0(0(1(z0)))))))))))))))))))), 1'(0(2(1(0(1(2(0(0(0(1(2(0(0(0(0(0(1(z0)))))))))))))))))), 0'(2(1(0(1(2(0(0(0(1(2(0(0(0(0(0(1(z0))))))))))))))))), 1'(0(1(2(0(0(0(1(2(0(0(0(0(0(1(z0))))))))))))))), 0'(1(2(0(0(0(1(2(0(0(0(0(0(1(z0)))))))))))))), 1'(2(0(0(0(1(2(0(0(0(0(0(1(z0))))))))))))), 0'(0(0(1(2(0(0(0(0(0(1(z0))))))))))), 0'(0(1(2(0(0(0(0(0(1(z0)))))))))), 0'(1(2(0(0(0(0(0(1(z0))))))))), 1'(2(0(0(0(0(0(1(z0)))))))), 0'(0(0(0(0(1(z0)))))), 0'(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(2(c_0(2(c_1(2(c_1(2(2(c_0(2(c_1(2(2(c_1(c_1(c_0(z0)))))))))))))))))))) -> c80(0'(2(0(1(1(1(0(1(0(1(2(0(2(2(1(0(2(0(0(2(z0)))))))))))))))))))), 0'(1(1(1(0(1(0(1(2(0(2(2(1(0(2(0(0(2(z0)))))))))))))))))), 1'(1(1(0(1(0(1(2(0(2(2(1(0(2(0(0(2(z0))))))))))))))))), 1'(1(0(1(0(1(2(0(2(2(1(0(2(0(0(2(z0)))))))))))))))), 1'(0(1(0(1(2(0(2(2(1(0(2(0(0(2(z0))))))))))))))), 0'(1(0(1(2(0(2(2(1(0(2(0(0(2(z0)))))))))))))), 1'(0(1(2(0(2(2(1(0(2(0(0(2(z0))))))))))))), 0'(1(2(0(2(2(1(0(2(0(0(2(z0)))))))))))), 1'(2(0(2(2(1(0(2(0(0(2(z0))))))))))), 0'(2(2(1(0(2(0(0(2(z0))))))))), 1'(0(2(0(0(2(z0)))))), 0'(2(0(0(2(z0))))), 0'(0(2(z0))), 0'(2(z0)))
   0'(2(c_1(c_1(2(c_1(2(2(2(c_0(c_0(c_1(c_0(2(c_1(c_1(c_1(2(2(c_0(z0)))))))))))))))))))) -> c83(0'(0(0(2(1(0(1(2(1(2(1(1(1(2(0(0(0(1(1(0(z0)))))))))))))))))))), 0'(0(2(1(0(1(2(1(2(1(1(1(2(0(0(0(1(1(0(z0))))))))))))))))))), 0'(2(1(0(1(2(1(2(1(1(1(2(0(0(0(1(1(0(z0)))))))))))))))))), 1'(0(1(2(1(2(1(1(1(2(0(0(0(1(1(0(z0)))))))))))))))), 0'(1(2(1(2(1(1(1(2(0(0(0(1(1(0(z0))))))))))))))), 1'(2(1(2(1(1(1(2(0(0(0(1(1(0(z0)))))))))))))), 1'(2(1(1(1(2(0(0(0(1(1(0(z0)))))))))))), 1'(1(1(2(0(0(0(1(1(0(z0)))))))))), 1'(1(2(0(0(0(1(1(0(z0))))))))), 1'(2(0(0(0(1(1(0(z0)))))))), 0'(0(0(1(1(0(z0)))))), 0'(0(1(1(0(z0))))), 0'(1(1(0(z0)))), 1'(1(0(z0))), 1'(0(z0)), 0'(z0))
   0'(c_1(2(c_0(c_0(2(c_1(c_1(c_0(2(c_1(c_0(c_1(c_1(c_1(c_0(c_1(c_1(c_0(c_0(z0)))))))))))))))))))) -> c84(0'(0(0(2(0(1(1(2(2(0(2(0(0(2(1(0(0(2(1(1(z0)))))))))))))))))))), 0'(0(2(0(1(1(2(2(0(2(0(0(2(1(0(0(2(1(1(z0))))))))))))))))))), 0'(2(0(1(1(2(2(0(2(0(0(2(1(0(0(2(1(1(z0)))))))))))))))))), 0'(1(1(2(2(0(2(0(0(2(1(0(0(2(1(1(z0)))))))))))))))), 1'(1(2(2(0(2(0(0(2(1(0(0(2(1(1(z0))))))))))))))), 1'(2(2(0(2(0(0(2(1(0(0(2(1(1(z0)))))))))))))), 0'(2(0(0(2(1(0(0(2(1(1(z0))))))))))), 0'(0(2(1(0(0(2(1(1(z0))))))))), 0'(2(1(0(0(2(1(1(z0)))))))), 1'(0(0(2(1(1(z0)))))), 0'(0(2(1(1(z0))))), 0'(2(1(1(z0)))), 1'(1(z0)), 1'(z0))
   0'(c_0(c_1(c_0(2(2(2(2(c_1(c_0(2(c_1(c_0(2(2(c_0(c_1(c_1(2(c_1(z0)))))))))))))))))))) -> c85(0'(0(1(0(0(0(0(2(2(2(2(0(0(0(1(0(0(2(1(1(z0)))))))))))))))))))), 0'(1(0(0(0(0(2(2(2(2(0(0(0(1(0(0(2(1(1(z0))))))))))))))))))), 1'(0(0(0(0(2(2(2(2(0(0(0(1(0(0(2(1(1(z0)))))))))))))))))), 0'(0(0(0(2(2(2(2(0(0(0(1(0(0(2(1(1(z0))))))))))))))))), 0'(0(0(2(2(2(2(0(0(0(1(0(0(2(1(1(z0)))))))))))))))), 0'(0(2(2(2(2(0(0(0(1(0(0(2(1(1(z0))))))))))))))), 0'(2(2(2(2(0(0(0(1(0(0(2(1(1(z0)))))))))))))), 0'(0(0(1(0(0(2(1(1(z0))))))))), 0'(0(1(0(0(2(1(1(z0)))))))), 0'(1(0(0(2(1(1(z0))))))), 1'(0(0(2(1(1(z0)))))), 0'(0(2(1(1(z0))))), 0'(2(1(1(z0)))), 1'(1(z0)), 1'(z0))
   0'(c_0(c_0(c_1(2(c_0(2(2(c_1(c_1(c_0(c_1(c_0(c_1(2(c_0(c_1(c_1(c_1(c_1(z0)))))))))))))))))))) -> c88(0'(1(2(0(1(2(1(0(1(0(1(0(2(0(1(1(1(1(0(2(z0)))))))))))))))))))), 1'(2(0(1(2(1(0(1(0(1(0(2(0(1(1(1(1(0(2(z0))))))))))))))))))), 0'(1(2(1(0(1(0(1(0(2(0(1(1(1(1(0(2(z0))))))))))))))))), 1'(2(1(0(1(0(1(0(2(0(1(1(1(1(0(2(z0)))))))))))))))), 1'(0(1(0(1(0(2(0(1(1(1(1(0(2(z0)))))))))))))), 0'(1(0(1(0(2(0(1(1(1(1(0(2(z0))))))))))))), 1'(0(1(0(2(0(1(1(1(1(0(2(z0)))))))))))), 0'(1(0(2(0(1(1(1(1(0(2(z0))))))))))), 1'(0(2(0(1(1(1(1(0(2(z0)))))))))), 0'(2(0(1(1(1(1(0(2(z0))))))))), 0'(1(1(1(1(0(2(z0))))))), 1'(1(1(1(0(2(z0)))))), 1'(1(1(0(2(z0))))), 1'(1(0(2(z0)))), 1'(0(2(z0))), 0'(2(z0)))
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   0'(c_1(c_0(c_1(c_1(2(c_1(c_0(c_0(c_0(2(2(2(c_1(2(c_1(2(c_1(c_0(2(z0)))))))))))))))))))) -> c102(0'(1(0(0(2(2(1(2(1(0(1(0(0(0(2(0(0(2(1(2(z0)))))))))))))))))))), 1'(0(0(2(2(1(2(1(0(1(0(0(0(2(0(0(2(1(2(z0))))))))))))))))))), 0'(0(2(2(1(2(1(0(1(0(0(0(2(0(0(2(1(2(z0)))))))))))))))))), 0'(2(2(1(2(1(0(1(0(0(0(2(0(0(2(1(2(z0))))))))))))))))), 1'(2(1(0(1(0(0(0(2(0(0(2(1(2(z0)))))))))))))), 1'(0(1(0(0(0(2(0(0(2(1(2(z0)))))))))))), 0'(1(0(0(0(2(0(0(2(1(2(z0))))))))))), 1'(0(0(0(2(0(0(2(1(2(z0)))))))))), 0'(0(0(2(0(0(2(1(2(z0))))))))), 0'(0(2(0(0(2(1(2(z0)))))))), 0'(2(0(0(2(1(2(z0))))))), 0'(0(2(1(2(z0))))), 0'(2(1(2(z0)))), 1'(2(z0)))
   0'(c_0(c_1(c_0(2(c_1(2(2(2(2(c_0(c_1(2(c_0(c_1(c_1(2(2(c_0(2(z0)))))))))))))))))))) -> c103(0'(0(2(1(1(0(0(2(2(2(0(1(2(2(0(1(2(2(0(2(z0)))))))))))))))))))), 0'(2(1(1(0(0(2(2(2(0(1(2(2(0(1(2(2(0(2(z0))))))))))))))))))), 1'(1(0(0(2(2(2(0(1(2(2(0(1(2(2(0(2(z0))))))))))))))))), 1'(0(0(2(2(2(0(1(2(2(0(1(2(2(0(2(z0)))))))))))))))), 0'(0(2(2(2(0(1(2(2(0(1(2(2(0(2(z0))))))))))))))), 0'(2(2(2(0(1(2(2(0(1(2(2(0(2(z0)))))))))))))), 0'(1(2(2(0(1(2(2(0(2(z0)))))))))), 1'(2(2(0(1(2(2(0(2(z0))))))))), 0'(1(2(2(0(2(z0)))))), 1'(2(2(0(2(z0))))), 0'(2(z0)))
   0'(c_1(c_1(c_0(c_1(2(c_1(2(c_0(2(2(c_1(c_0(c_0(2(c_0(c_1(c_0(c_1(c_1(z0)))))))))))))))))))) -> c104(0'(0(0(1(2(0(2(2(2(0(1(0(1(2(1(1(1(0(2(0(z0)))))))))))))))))))), 0'(0(1(2(0(2(2(2(0(1(0(1(2(1(1(1(0(2(0(z0))))))))))))))))))), 0'(1(2(0(2(2(2(0(1(0(1(2(1(1(1(0(2(0(z0)))))))))))))))))), 1'(2(0(2(2(2(0(1(0(1(2(1(1(1(0(2(0(z0))))))))))))))))), 0'(2(2(2(0(1(0(1(2(1(1(1(0(2(0(z0))))))))))))))), 0'(1(0(1(2(1(1(1(0(2(0(z0))))))))))), 1'(0(1(2(1(1(1(0(2(0(z0)))))))))), 0'(1(2(1(1(1(0(2(0(z0))))))))), 1'(2(1(1(1(0(2(0(z0)))))))), 1'(1(1(0(2(0(z0)))))), 1'(1(0(2(0(z0))))), 1'(0(2(0(z0)))), 0'(2(0(z0))), 0'(z0))
   1'(2(2(c_0(2(c_0(2(c_1(2(c_1(2(c_1(c_0(c_0(c_1(c_0(c_0(2(c_0(c_1(z0)))))))))))))))))))) -> c106(1'(0(1(2(0(1(0(0(1(0(0(0(2(1(0(0(1(0(0(2(z0)))))))))))))))))))), 0'(1(2(0(1(0(0(1(0(0(0(2(1(0(0(1(0(0(2(z0))))))))))))))))))), 1'(2(0(1(0(0(1(0(0(0(2(1(0(0(1(0(0(2(z0)))))))))))))))))), 0'(1(0(0(1(0(0(0(2(1(0(0(1(0(0(2(z0)))))))))))))))), 1'(0(0(1(0(0(0(2(1(0(0(1(0(0(2(z0))))))))))))))), 0'(0(1(0(0(0(2(1(0(0(1(0(0(2(z0)))))))))))))), 0'(1(0(0(0(2(1(0(0(1(0(0(2(z0))))))))))))), 1'(0(0(0(2(1(0(0(1(0(0(2(z0)))))))))))), 0'(0(0(2(1(0(0(1(0(0(2(z0))))))))))), 0'(0(2(1(0(0(1(0(0(2(z0)))))))))), 0'(2(1(0(0(1(0(0(2(z0))))))))), 1'(0(0(1(0(0(2(z0))))))), 0'(0(1(0(0(2(z0)))))), 0'(1(0(0(2(z0))))), 1'(0(0(2(z0)))), 0'(0(2(z0))), 0'(2(z0)))
   0'(2(c_1(c_1(c_1(c_0(2(c_1(c_1(c_0(c_1(c_0(2(2(c_0(c_0(2(c_0(2(c_1(z0)))))))))))))))))))) -> c9(0'(1(0(1(2(2(2(1(1(0(2(2(1(2(0(0(0(0(2(1(z0)))))))))))))))))))), 1'(0(1(2(2(2(1(1(0(2(2(1(2(0(0(0(0(2(1(z0))))))))))))))))))), 0'(1(2(2(2(1(1(0(2(2(1(2(0(0(0(0(2(1(z0)))))))))))))))))), 1'(1(0(2(2(1(2(0(0(0(0(2(1(z0))))))))))))), 1'(0(2(2(1(2(0(0(0(0(2(1(z0)))))))))))), 0'(2(2(1(2(0(0(0(0(2(1(z0))))))))))), 1'(2(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))), 1'(z0))
   0'(c_0(2(c_0(2(c_1(c_1(2(c_1(c_1(c_1(c_1(c_1(c_0(c_1(c_1(c_1(2(2(c_1(z0)))))))))))))))))))) -> c21(0'(2(0(0(2(1(1(2(2(0(2(0(1(2(2(2(1(1(1(2(z0)))))))))))))))))))), 0'(0(2(1(1(2(2(0(2(0(1(2(2(2(1(1(1(2(z0)))))))))))))))))), 0'(2(1(1(2(2(0(2(0(1(2(2(2(1(1(1(2(z0))))))))))))))))), 1'(1(2(2(0(2(0(1(2(2(2(1(1(1(2(z0))))))))))))))), 1'(2(2(0(2(0(1(2(2(2(1(1(1(2(z0)))))))))))))), 0'(2(0(1(2(2(2(1(1(1(2(z0))))))))))), 0'(1(2(2(2(1(1(1(2(z0))))))))), 1'(1(1(2(z0)))), 1'(1(2(z0))), 1'(2(z0)))
   0'(2(c_0(c_1(c_1(c_1(c_0(c_1(2(2(c_0(2(c_0(2(c_0(2(c_1(2(c_0(c_1(z0)))))))))))))))))))) -> c22(0'(2(2(0(1(2(2(2(2(1(0(2(1(2(0(0(2(2(2(1(z0)))))))))))))))))))), 0'(1(2(2(2(2(1(0(2(1(2(0(0(2(2(2(1(z0))))))))))))))))), 1'(0(2(1(2(0(0(2(2(2(1(z0))))))))))), 0'(2(1(2(0(0(2(2(2(1(z0)))))))))), 1'(2(0(0(2(2(2(1(z0)))))))), 0'(0(2(2(2(1(z0)))))), 0'(2(2(2(1(z0))))), 1'(z0))
   0'(2(c_0(2(c_1(c_0(c_0(c_1(2(c_0(2(c_0(c_1(c_0(c_1(c_1(c_1(2(2(c_1(z0)))))))))))))))))))) -> c31(0'(0(1(0(1(0(1(1(2(1(0(0(0(1(2(2(2(0(1(0(z0)))))))))))))))))))), 0'(1(0(1(0(1(1(2(1(0(0(0(1(2(2(2(0(1(0(z0))))))))))))))))))), 1'(0(1(0(1(1(2(1(0(0(0(1(2(2(2(0(1(0(z0)))))))))))))))))), 0'(1(0(1(1(2(1(0(0(0(1(2(2(2(0(1(0(z0))))))))))))))))), 1'(0(1(1(2(1(0(0(0(1(2(2(2(0(1(0(z0)))))))))))))))), 0'(1(1(2(1(0(0(0(1(2(2(2(0(1(0(z0))))))))))))))), 1'(1(2(1(0(0(0(1(2(2(2(0(1(0(z0)))))))))))))), 1'(2(1(0(0(0(1(2(2(2(0(1(0(z0))))))))))))), 1'(0(0(0(1(2(2(2(0(1(0(z0))))))))))), 0'(0(0(1(2(2(2(0(1(0(z0)))))))))), 0'(0(1(2(2(2(0(1(0(z0))))))))), 0'(1(2(2(2(0(1(0(z0)))))))), 0'(1(0(z0))), 1'(0(z0)), 0'(z0))
   0'(c_1(c_1(2(c_0(c_1(c_0(c_0(c_1(2(c_0(2(c_1(c_0(c_0(c_0(c_0(2(c_0(c_1(z0)))))))))))))))))))) -> c40(0'(0(2(1(2(2(2(1(2(1(0(0(0(2(2(1(0(1(2(0(z0)))))))))))))))))))), 0'(2(1(2(2(2(1(2(1(0(0(0(2(2(1(0(1(2(0(z0))))))))))))))))))), 1'(2(1(0(0(0(2(2(1(0(1(2(0(z0))))))))))))), 1'(0(0(0(2(2(1(0(1(2(0(z0))))))))))), 0'(0(0(2(2(1(0(1(2(0(z0)))))))))), 0'(0(2(2(1(0(1(2(0(z0))))))))), 0'(2(2(1(0(1(2(0(z0)))))))), 1'(0(1(2(0(z0))))), 0'(1(2(0(z0)))), 1'(2(0(z0))), 0'(z0))
   0'(c_1(c_0(2(2(2(c_1(2(c_1(c_1(c_1(2(c_1(c_0(2(c_1(c_1(c_1(c_0(c_1(z0)))))))))))))))))))) -> c61(0'(0(1(2(2(2(1(0(0(1(1(2(1(1(2(0(0(1(2(0(z0)))))))))))))))))))), 0'(1(2(2(2(1(0(0(1(1(2(1(1(2(0(0(1(2(0(z0))))))))))))))))))), 1'(0(0(1(1(2(1(1(2(0(0(1(2(0(z0)))))))))))))), 0'(0(1(1(2(1(1(2(0(0(1(2(0(z0))))))))))))), 0'(1(1(2(1(1(2(0(0(1(2(0(z0)))))))))))), 1'(1(2(1(1(2(0(0(1(2(0(z0))))))))))), 1'(2(1(1(2(0(0(1(2(0(z0)))))))))), 1'(1(2(0(0(1(2(0(z0)))))))), 1'(2(0(0(1(2(0(z0))))))), 0'(0(1(2(0(z0))))), 0'(1(2(0(z0)))), 1'(2(0(z0))), 0'(z0))
   0'(c_1(c_1(c_0(2(c_1(c_1(c_0(c_0(c_1(c_1(c_1(2(2(2(c_0(2(c_0(c_0(2(z0)))))))))))))))))))) -> c63(0'(1(2(1(0(2(1(0(1(2(2(2(0(0(2(0(2(2(1(2(z0)))))))))))))))))))), 1'(2(1(0(2(1(0(1(2(2(2(0(0(2(0(2(2(1(2(z0))))))))))))))))))), 1'(0(2(1(0(1(2(2(2(0(0(2(0(2(2(1(2(z0))))))))))))))))), 0'(2(1(0(1(2(2(2(0(0(2(0(2(2(1(2(z0)))))))))))))))), 1'(0(1(2(2(2(0(0(2(0(2(2(1(2(z0)))))))))))))), 0'(1(2(2(2(0(0(2(0(2(2(1(2(z0))))))))))))), 0'(0(2(0(2(2(1(2(z0)))))))), 0'(2(0(2(2(1(2(z0))))))), 0'(2(2(1(2(z0))))), 1'(2(z0)))
   0'(c_1(c_1(c_1(c_1(2(c_0(c_0(c_0(2(2(2(2(c_1(c_0(2(2(2(c_0(c_1(z0)))))))))))))))))))) -> c65(0'(2(0(0(0(1(2(0(1(2(2(2(1(2(1(1(1(2(1(2(z0)))))))))))))))))))), 0'(0(0(1(2(0(1(2(2(2(1(2(1(1(1(2(1(2(z0)))))))))))))))))), 0'(0(1(2(0(1(2(2(2(1(2(1(1(1(2(1(2(z0))))))))))))))))), 0'(1(2(0(1(2(2(2(1(2(1(1(1(2(1(2(z0)))))))))))))))), 1'(2(0(1(2(2(2(1(2(1(1(1(2(1(2(z0))))))))))))))), 0'(1(2(2(2(1(2(1(1(1(2(1(2(z0))))))))))))), 1'(2(1(1(1(2(1(2(z0)))))))), 1'(1(1(2(1(2(z0)))))), 1'(1(2(1(2(z0))))), 1'(2(1(2(z0)))), 1'(2(z0)))
   0'(2(c_1(c_1(c_1(c_0(c_0(c_1(2(c_1(2(c_1(c_1(2(c_0(2(c_1(c_0(c_1(2(z0)))))))))))))))))))) -> c74(0'(1(0(1(0(2(0(0(0(1(1(1(2(0(0(0(1(2(2(2(z0)))))))))))))))))))), 1'(0(1(0(2(0(0(0(1(1(1(2(0(0(0(1(2(2(2(z0))))))))))))))))))), 0'(1(0(2(0(0(0(1(1(1(2(0(0(0(1(2(2(2(z0)))))))))))))))))), 1'(0(2(0(0(0(1(1(1(2(0(0(0(1(2(2(2(z0))))))))))))))))), 0'(2(0(0(0(1(1(1(2(0(0(0(1(2(2(2(z0)))))))))))))))), 0'(0(0(1(1(1(2(0(0(0(1(2(2(2(z0)))))))))))))), 0'(0(1(1(1(2(0(0(0(1(2(2(2(z0))))))))))))), 0'(1(1(1(2(0(0(0(1(2(2(2(z0)))))))))))), 1'(1(1(2(0(0(0(1(2(2(2(z0))))))))))), 1'(1(2(0(0(0(1(2(2(2(z0)))))))))), 1'(2(0(0(0(1(2(2(2(z0))))))))), 0'(0(0(1(2(2(2(z0))))))), 0'(0(1(2(2(2(z0)))))), 0'(1(2(2(2(z0))))))
   0'(2(2(c_1(c_1(c_1(c_1(c_0(c_0(c_1(c_0(c_1(c_0(2(2(c_1(c_1(2(2(c_1(z0)))))))))))))))))))) -> c75(0'(2(2(2(0(2(2(1(1(2(2(2(2(0(2(0(0(2(0(2(z0)))))))))))))))))))), 0'(2(2(1(1(2(2(2(2(0(2(0(0(2(0(2(z0)))))))))))))))), 1'(1(2(2(2(2(0(2(0(0(2(0(2(z0))))))))))))), 0'(2(0(0(2(0(2(z0))))))), 0'(0(2(0(2(z0))))), 0'(2(0(2(z0)))), 0'(2(z0)))
   0'(c_1(c_0(c_1(c_1(2(2(c_0(c_0(c_0(2(2(2(c_1(c_1(c_0(c_1(c_1(c_1(c_1(z0)))))))))))))))))))) -> c81(0'(0(2(2(2(2(2(2(1(1(0(1(2(2(0(1(2(0(2(1(z0)))))))))))))))))))), 1'(1(0(1(2(2(0(1(2(0(2(1(z0)))))))))))), 1'(0(1(2(2(0(1(2(0(2(1(z0))))))))))), 0'(1(2(2(0(1(2(0(2(1(z0)))))))))), 1'(2(2(0(1(2(0(2(1(z0))))))))), 0'(1(2(0(2(1(z0)))))), 1'(2(0(2(1(z0))))), 0'(2(1(z0))), 1'(z0))
   0'(c_0(c_1(c_1(c_0(2(2(c_1(c_1(c_1(c_1(c_1(2(c_0(2(c_1(c_0(2(2(c_1(z0)))))))))))))))))))) -> c82(0'(2(0(1(1(0(1(2(2(2(0(0(2(2(2(0(2(0(0(0(z0)))))))))))))))))))), 0'(1(1(0(1(2(2(2(0(0(2(2(2(0(2(0(0(0(z0)))))))))))))))))), 1'(1(0(1(2(2(2(0(0(2(2(2(0(2(0(0(0(z0))))))))))))))))), 1'(0(1(2(2(2(0(0(2(2(2(0(2(0(0(0(z0)))))))))))))))), 0'(1(2(2(2(0(0(2(2(2(0(2(0(0(0(z0))))))))))))))), 0'(0(2(2(2(0(2(0(0(0(z0)))))))))), 0'(2(2(2(0(2(0(0(0(z0))))))))), 0'(2(0(0(0(z0))))), 0'(0(0(z0))), 0'(0(z0)), 0'(z0))
   0'(c_1(c_1(c_0(c_1(c_1(c_1(c_1(2(c_0(2(c_0(2(2(2(c_0(c_0(c_0(2(c_1(z0)))))))))))))))))))) -> c86(0'(1(0(1(2(2(2(0(2(2(1(1(2(2(2(0(0(0(1(0(z0)))))))))))))))))))), 1'(0(1(2(2(2(0(2(2(1(1(2(2(2(0(0(0(1(0(z0))))))))))))))))))), 0'(1(2(2(2(0(2(2(1(1(2(2(2(0(0(0(1(0(z0)))))))))))))))))), 0'(2(2(1(1(2(2(2(0(0(0(1(0(z0))))))))))))), 1'(1(2(2(2(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_1(c_0(c_1(2(2(2(c_1(c_1(2(c_1(2(c_1(c_0(2(c_0(c_1(2(c_0(z0)))))))))))))))))))) -> c87(0'(2(0(1(1(2(2(2(1(0(0(2(1(0(0(0(0(2(0(2(z0)))))))))))))))))))), 0'(1(1(2(2(2(1(0(0(2(1(0(0(0(0(2(0(2(z0)))))))))))))))))), 1'(1(2(2(2(1(0(0(2(1(0(0(0(0(2(0(2(z0))))))))))))))))), 1'(0(0(2(1(0(0(0(0(2(0(2(z0)))))))))))), 0'(0(2(1(0(0(0(0(2(0(2(z0))))))))))), 0'(2(1(0(0(0(0(2(0(2(z0)))))))))), 1'(0(0(0(0(2(0(2(z0)))))))), 0'(0(0(0(2(0(2(z0))))))), 0'(0(0(2(0(2(z0)))))), 0'(0(2(0(2(z0))))), 0'(2(0(2(z0)))), 0'(2(z0)))
   0'(c_1(c_1(2(c_0(2(c_0(2(2(c_1(c_1(2(c_0(c_1(2(2(c_0(c_1(c_0(c_0(z0)))))))))))))))))))) -> c91(0'(1(2(0(0(0(2(1(2(0(1(2(2(2(2(0(1(1(0(1(z0)))))))))))))))))))), 1'(2(0(0(0(2(1(2(0(1(2(2(2(2(0(1(1(0(1(z0))))))))))))))))))), 0'(0(0(2(1(2(0(1(2(2(2(2(0(1(1(0(1(z0))))))))))))))))), 0'(0(2(1(2(0(1(2(2(2(2(0(1(1(0(1(z0)))))))))))))))), 0'(2(1(2(0(1(2(2(2(2(0(1(1(0(1(z0))))))))))))))), 1'(2(0(1(2(2(2(2(0(1(1(0(1(z0))))))))))))), 0'(1(2(2(2(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))
   0'(2(c_1(c_1(2(c_0(2(2(2(c_0(c_1(2(c_0(2(c_0(2(2(c_0(c_0(c_1(z0)))))))))))))))))))) -> c92(0'(0(2(1(2(0(0(0(2(0(1(2(2(2(1(0(1(1(1(0(z0)))))))))))))))))))), 0'(2(1(2(0(0(0(2(0(1(2(2(2(1(0(1(1(1(0(z0))))))))))))))))))), 1'(2(0(0(0(2(0(1(2(2(2(1(0(1(1(1(0(z0))))))))))))))))), 0'(0(0(2(0(1(2(2(2(1(0(1(1(1(0(z0))))))))))))))), 0'(0(2(0(1(2(2(2(1(0(1(1(1(0(z0)))))))))))))), 0'(2(0(1(2(2(2(1(0(1(1(1(0(z0))))))))))))), 0'(1(2(2(2(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))
   0'(c_1(2(c_1(c_0(c_1(2(2(c_1(c_1(c_0(c_0(c_1(c_1(2(2(c_1(c_0(c_1(c_1(z0)))))))))))))))))))) -> c96(0'(2(2(2(0(2(0(2(0(1(2(1(2(2(2(1(0(0(1(0(z0)))))))))))))))))))), 0'(2(0(2(0(1(2(1(2(2(2(1(0(0(1(0(z0)))))))))))))))), 0'(2(0(1(2(1(2(2(2(1(0(0(1(0(z0)))))))))))))), 0'(1(2(1(2(2(2(1(0(0(1(0(z0)))))))))))), 1'(2(1(2(2(2(1(0(0(1(0(z0))))))))))), 1'(0(0(1(0(z0))))), 0'(0(1(0(z0)))), 0'(1(0(z0))), 1'(0(z0)), 0'(z0))
   0'(2(2(c_1(c_1(2(2(c_1(c_0(2(c_1(2(c_1(c_1(2(2(2(c_0(2(c_0(z0)))))))))))))))))))) -> c97(0'(2(1(2(2(2(1(0(0(1(0(0(0(1(2(1(1(2(2(1(z0)))))))))))))))))))), 1'(0(0(1(0(0(0(1(2(1(1(2(2(1(z0)))))))))))))), 0'(0(1(0(0(0(1(2(1(1(2(2(1(z0))))))))))))), 0'(1(0(0(0(1(2(1(1(2(2(1(z0)))))))))))), 1'(0(0(0(1(2(1(1(2(2(1(z0))))))))))), 0'(0(0(1(2(1(1(2(2(1(z0)))))))))), 0'(0(1(2(1(1(2(2(1(z0))))))))), 0'(1(2(1(1(2(2(1(z0)))))))), 1'(2(1(1(2(2(1(z0))))))), 1'(1(2(2(1(z0))))), 1'(2(2(1(z0)))), 1'(z0))
K tuples:none
Defined Rule Symbols:   encArg_1, 0_1, 1_1

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

Compound Symbols:   c_1, c1_2, c2_2, c7_14, c8_13, c10_13, c11_13, c12_15, c13_10, c14_13, c15_12, c16_14, c17_13, c18_13, c19_16, c20_13, c23_16, c24_12, c25_15, c26_14, c27_14, c28_14, c29_14, c30_12, c32_16, c33_14, c34_15, c35_11, c36_16, c37_16, c38_13, c39_15, c41_16, c42_11, c43_16, c44_12, c45_16, c46_15, c47_18, c48_10, c49_14, c50_13, c51_15, c52_15, c53_14, c54_15, c55_15, c56_13, c57_9, c58_11, c59_14, c60_13, c62_16, c64_15, c66_16, c67_14, c68_15, c69_14, c70_13, c71_13, c72_16, c73_15, c76_12, c77_15, c78_15, c79_16, c80_14, c83_16, c84_14, c85_15, c88_16, c89_12, c90_13, c93_14, c94_12, c95_11, c98_13, c99_15, c100_13, c101_17, c102_14, c103_11, c104_14, c106_17, c9_12, c21_10, c22_8, c31_15, c40_11, c61_13, c63_10, c65_11, c74_14, c75_7, c81_9, c82_11, c86_10, c87_12, c91_12, c92_13, c96_10, c97_12, c5_1


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

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

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

(50)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(2(z0)) -> 2(encArg(z0))
   encArg(cons_0(z0)) -> 0(encArg(z0))
   encArg(cons_1(z0)) -> 1(encArg(z0))
   0(z0) -> c_0(z0)
   0(c_0(c_1(c_0(2(2(c_1(2(c_0(c_0(c_1(c_1(2(2(2(c_1(c_1(2(c_1(c_1(z0)))))))))))))))))))) -> 0(2(0(2(2(0(0(1(2(0(2(0(0(1(1(0(0(2(1(1(z0))))))))))))))))))))
   0(c_1(c_0(c_1(2(c_1(c_1(c_1(c_0(c_0(c_1(c_1(2(2(2(c_0(2(c_0(c_1(2(z0)))))))))))))))))))) -> 0(2(1(1(2(1(0(2(0(1(1(0(2(0(1(0(2(2(0(2(z0))))))))))))))))))))
   0(2(c_1(c_1(c_1(c_0(2(c_1(c_1(c_0(c_1(c_0(2(2(c_0(c_0(2(c_0(2(c_1(z0)))))))))))))))))))) -> 0(1(0(1(2(2(2(1(1(0(2(2(1(2(0(0(0(0(2(1(z0))))))))))))))))))))
   0(c_1(c_0(2(2(c_1(c_1(c_0(c_1(c_0(2(2(c_1(c_0(2(c_0(c_1(c_0(c_1(c_1(z0)))))))))))))))))))) -> 0(1(2(0(0(2(2(0(0(0(0(2(1(2(1(0(1(2(0(2(z0))))))))))))))))))))
   0(2(c_1(2(c_0(c_1(c_1(c_1(2(c_0(c_1(c_1(2(c_1(2(c_0(2(c_0(2(c_0(z0)))))))))))))))))))) -> 0(1(2(1(1(0(1(1(2(1(2(0(1(0(1(2(2(0(2(2(z0))))))))))))))))))))
   0(c_0(c_1(c_0(c_0(c_1(c_1(2(c_1(c_1(2(2(c_1(c_1(2(2(c_1(c_1(c_0(2(z0)))))))))))))))))))) -> 0(1(1(0(0(2(0(0(2(0(2(1(1(1(1(1(0(2(0(2(z0))))))))))))))))))))
   0(c_1(c_1(c_0(c_1(c_0(2(c_1(c_1(2(2(c_0(2(c_0(2(c_0(2(2(c_0(c_1(z0)))))))))))))))))))) -> 0(2(0(2(1(0(0(1(2(2(1(2(2(1(2(2(1(2(2(0(z0))))))))))))))))))))
   0(c_1(c_0(c_1(c_1(c_1(c_1(2(c_0(2(2(2(2(2(2(c_1(c_0(2(c_0(c_1(z0)))))))))))))))))))) -> 0(0(0(2(2(1(0(0(1(2(1(0(2(2(1(0(0(2(2(1(z0))))))))))))))))))))
   0(c_0(2(2(c_0(c_0(c_1(c_0(2(2(c_1(c_1(2(2(c_1(c_0(2(2(c_0(c_1(z0)))))))))))))))))))) -> 0(2(0(2(2(1(0(0(2(2(1(2(1(1(0(0(2(0(2(1(z0))))))))))))))))))))
   0(c_0(2(2(c_1(c_1(c_1(c_0(c_1(c_0(c_1(c_0(c_1(2(2(2(c_1(2(c_0(c_0(z0)))))))))))))))))))) -> 0(1(0(2(0(2(2(1(0(1(0(2(1(2(1(0(1(1(1(2(z0))))))))))))))))))))
   0(c_1(c_1(c_0(c_0(2(c_0(2(c_1(c_1(c_1(2(c_1(2(c_1(c_0(c_0(c_1(c_1(c_1(z0)))))))))))))))))))) -> 0(1(0(0(2(2(0(0(2(2(0(2(0(0(1(2(1(0(1(2(z0))))))))))))))))))))
   0(c_1(c_1(c_0(2(c_1(2(c_1(c_1(c_0(c_1(c_1(2(c_1(c_0(c_1(c_0(c_1(c_1(c_1(z0)))))))))))))))))))) -> 0(1(1(1(2(1(2(2(0(1(1(0(2(2(0(0(2(1(0(2(z0))))))))))))))))))))
   0(2(c_1(c_1(c_1(2(2(c_0(c_0(c_0(2(c_1(c_0(c_1(2(2(c_1(c_0(2(c_0(z0)))))))))))))))))))) -> 0(1(0(1(0(0(0(1(0(2(1(1(0(0(2(1(2(0(2(1(z0))))))))))))))))))))
   0(c_0(c_0(2(c_1(2(2(c_0(c_1(c_1(c_0(c_0(c_1(c_1(2(c_1(c_0(2(2(c_1(z0)))))))))))))))))))) -> 0(2(0(1(1(2(0(1(2(1(2(1(0(2(2(0(2(0(1(0(z0))))))))))))))))))))
   0(c_0(2(c_0(2(c_1(c_1(2(c_1(c_1(c_1(c_1(c_1(c_0(c_1(c_1(c_1(2(2(c_1(z0)))))))))))))))))))) -> 0(2(0(0(2(1(1(2(2(0(2(0(1(2(2(2(1(1(1(2(z0))))))))))))))))))))
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   0(c_0(2(c_1(c_0(c_1(c_0(c_0(2(c_0(c_1(c_1(c_0(2(c_0(2(2(2(2(c_0(z0)))))))))))))))))))) -> 0(2(2(0(0(0(2(1(0(0(0(1(1(2(0(1(1(0(0(0(z0))))))))))))))))))))
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   0(c_0(c_0(c_1(2(c_0(2(2(c_1(c_1(c_0(c_1(c_0(c_1(2(c_0(c_1(c_1(c_1(c_1(z0)))))))))))))))))))) -> 0(1(2(0(1(2(1(0(1(0(1(0(2(0(1(1(1(1(0(2(z0))))))))))))))))))))
   0(c_0(c_1(2(c_0(c_1(2(c_0(c_1(c_1(c_1(c_0(2(2(c_1(c_0(2(c_1(c_1(2(z0)))))))))))))))))))) -> 0(1(2(2(0(2(2(2(1(0(1(2(2(1(0(0(1(1(1(2(z0))))))))))))))))))))
   0(c_0(c_1(2(2(c_1(c_1(c_0(2(2(2(c_0(c_1(c_1(c_1(c_1(c_0(c_1(2(c_1(z0)))))))))))))))))))) -> 0(1(2(2(0(1(1(1(2(0(2(0(0(1(2(0(2(1(2(0(z0))))))))))))))))))))
   0(c_1(c_1(2(c_0(2(c_0(2(2(c_1(c_1(2(c_0(c_1(2(2(c_0(c_1(c_0(c_0(z0)))))))))))))))))))) -> 0(1(2(0(0(0(2(1(2(0(1(2(2(2(2(0(1(1(0(1(z0))))))))))))))))))))
   0(2(c_1(c_1(2(c_0(2(2(2(c_0(c_1(2(c_0(2(c_0(2(2(c_0(c_0(c_1(z0)))))))))))))))))))) -> 0(0(2(1(2(0(0(0(2(0(1(2(2(2(1(0(1(1(1(0(z0))))))))))))))))))))
   0(c_1(c_0(c_1(c_0(c_1(c_1(c_0(c_0(c_0(c_1(c_0(2(c_1(c_1(2(c_0(c_1(c_0(c_1(z0)))))))))))))))))))) -> 0(0(2(1(1(0(0(2(0(2(1(0(1(1(0(2(2(0(1(2(z0))))))))))))))))))))
   0(c_0(c_1(2(2(c_0(c_1(c_1(2(c_0(c_0(2(2(c_1(c_0(2(c_1(2(c_1(c_0(z0)))))))))))))))))))) -> 0(2(2(0(2(0(2(1(0(2(0(0(2(2(1(0(0(0(2(0(z0))))))))))))))))))))
   0(c_0(c_0(2(2(c_1(c_1(2(2(c_0(c_0(2(c_1(2(c_0(c_1(c_1(c_0(2(2(z0)))))))))))))))))))) -> 0(2(2(2(1(0(0(2(1(2(1(2(1(2(1(1(1(2(0(2(z0))))))))))))))))))))
   0(c_1(2(c_1(c_0(c_1(2(2(c_1(c_1(c_0(c_0(c_1(c_1(2(2(c_1(c_0(c_1(c_1(z0)))))))))))))))))))) -> 0(2(2(2(0(2(0(2(0(1(2(1(2(2(2(1(0(0(1(0(z0))))))))))))))))))))
   0(2(2(c_1(c_1(2(2(c_1(c_0(2(c_1(2(c_1(c_1(2(2(2(c_0(2(c_0(z0)))))))))))))))))))) -> 0(2(1(2(2(2(1(0(0(1(0(0(0(1(2(1(1(2(2(1(z0))))))))))))))))))))
   0(c_1(c_1(c_1(2(2(c_1(2(c_1(c_1(c_1(c_0(c_0(c_1(c_1(c_1(2(c_1(c_1(c_0(z0)))))))))))))))))))) -> 0(0(1(0(2(0(1(1(1(2(0(2(1(2(2(0(2(1(2(1(z0))))))))))))))))))))
   0(c_0(2(c_0(c_1(c_1(2(c_0(2(c_1(c_0(2(2(c_1(c_1(c_0(c_1(2(c_0(c_1(z0)))))))))))))))))))) -> 0(1(2(0(2(0(1(0(1(2(1(0(0(2(2(1(0(1(0(1(z0))))))))))))))))))))
   0(c_1(c_1(2(2(2(2(c_1(c_0(2(c_0(c_0(c_1(2(2(c_1(2(2(2(2(z0)))))))))))))))))))) -> 0(1(0(0(2(0(0(1(2(1(2(0(1(2(2(1(0(2(0(2(z0))))))))))))))))))))
   0(2(c_0(c_1(2(c_1(c_1(c_1(c_1(2(c_0(2(c_1(2(c_0(c_1(2(2(c_0(c_1(z0)))))))))))))))))))) -> 0(1(1(1(1(2(1(0(0(1(1(0(2(1(0(0(2(0(0(1(z0))))))))))))))))))))
   0(c_1(c_0(c_1(c_1(2(c_1(c_0(c_0(c_0(2(2(2(c_1(2(c_1(2(c_1(c_0(2(z0)))))))))))))))))))) -> 0(1(0(0(2(2(1(2(1(0(1(0(0(0(2(0(0(2(1(2(z0))))))))))))))))))))
   0(c_0(c_1(c_0(2(c_1(2(2(2(2(c_0(c_1(2(c_0(c_1(c_1(2(2(c_0(2(z0)))))))))))))))))))) -> 0(0(2(1(1(0(0(2(2(2(0(1(2(2(0(1(2(2(0(2(z0))))))))))))))))))))
   0(c_1(c_1(c_0(c_1(2(c_1(2(c_0(2(2(c_1(c_0(c_0(2(c_0(c_1(c_0(c_1(c_1(z0)))))))))))))))))))) -> 0(0(0(1(2(0(2(2(2(0(1(0(1(2(1(1(1(0(2(0(z0))))))))))))))))))))
   1(z0) -> c_1(z0)
   1(2(2(c_0(2(c_0(2(c_1(2(c_1(2(c_1(c_0(c_0(c_1(c_0(c_0(2(c_0(c_1(z0)))))))))))))))))))) -> 1(0(1(2(0(1(0(0(1(0(0(0(2(1(0(0(1(0(0(2(z0))))))))))))))))))))
Tuples:
   ENCARG(2(z0)) -> c(ENCARG(z0))
   ENCARG(cons_1(z0)) -> c2(1'(encArg(z0)), ENCARG(z0))
   0'(c_0(c_1(c_0(2(2(c_1(2(c_0(c_0(c_1(c_1(2(2(2(c_1(c_1(2(c_1(c_1(z0)))))))))))))))))))) -> c7(0'(2(0(2(2(0(0(1(2(0(2(0(0(1(1(0(0(2(1(1(z0)))))))))))))))))))), 0'(2(2(0(0(1(2(0(2(0(0(1(1(0(0(2(1(1(z0)))))))))))))))))), 0'(0(1(2(0(2(0(0(1(1(0(0(2(1(1(z0))))))))))))))), 0'(1(2(0(2(0(0(1(1(0(0(2(1(1(z0)))))))))))))), 1'(2(0(2(0(0(1(1(0(0(2(1(1(z0))))))))))))), 0'(2(0(0(1(1(0(0(2(1(1(z0))))))))))), 0'(0(1(1(0(0(2(1(1(z0))))))))), 0'(1(1(0(0(2(1(1(z0)))))))), 1'(1(0(0(2(1(1(z0))))))), 1'(0(0(2(1(1(z0)))))), 0'(0(2(1(1(z0))))), 0'(2(1(1(z0)))), 1'(1(z0)), 1'(z0))
   0'(c_1(c_0(c_1(2(c_1(c_1(c_1(c_0(c_0(c_1(c_1(2(2(2(c_0(2(c_0(c_1(2(z0)))))))))))))))))))) -> c8(0'(2(1(1(2(1(0(2(0(1(1(0(2(0(1(0(2(2(0(2(z0)))))))))))))))))))), 1'(1(2(1(0(2(0(1(1(0(2(0(1(0(2(2(0(2(z0)))))))))))))))))), 1'(2(1(0(2(0(1(1(0(2(0(1(0(2(2(0(2(z0))))))))))))))))), 1'(0(2(0(1(1(0(2(0(1(0(2(2(0(2(z0))))))))))))))), 0'(2(0(1(1(0(2(0(1(0(2(2(0(2(z0)))))))))))))), 0'(1(1(0(2(0(1(0(2(2(0(2(z0)))))))))))), 1'(1(0(2(0(1(0(2(2(0(2(z0))))))))))), 1'(0(2(0(1(0(2(2(0(2(z0)))))))))), 0'(2(0(1(0(2(2(0(2(z0))))))))), 0'(1(0(2(2(0(2(z0))))))), 1'(0(2(2(0(2(z0)))))), 0'(2(2(0(2(z0))))), 0'(2(z0)))
   0'(c_1(c_0(2(2(c_1(c_1(c_0(c_1(c_0(2(2(c_1(c_0(2(c_0(c_1(c_0(c_1(c_1(z0)))))))))))))))))))) -> c10(0'(1(2(0(0(2(2(0(0(0(0(2(1(2(1(0(1(2(0(2(z0)))))))))))))))))))), 1'(2(0(0(2(2(0(0(0(0(2(1(2(1(0(1(2(0(2(z0))))))))))))))))))), 0'(0(2(2(0(0(0(0(2(1(2(1(0(1(2(0(2(z0))))))))))))))))), 0'(2(2(0(0(0(0(2(1(2(1(0(1(2(0(2(z0)))))))))))))))), 0'(0(0(0(2(1(2(1(0(1(2(0(2(z0))))))))))))), 0'(0(0(2(1(2(1(0(1(2(0(2(z0)))))))))))), 0'(0(2(1(2(1(0(1(2(0(2(z0))))))))))), 0'(2(1(2(1(0(1(2(0(2(z0)))))))))), 1'(2(1(0(1(2(0(2(z0)))))))), 1'(0(1(2(0(2(z0)))))), 0'(1(2(0(2(z0))))), 1'(2(0(2(z0)))), 0'(2(z0)))
   0'(2(c_1(2(c_0(c_1(c_1(c_1(2(c_0(c_1(c_1(2(c_1(2(c_0(2(c_0(2(c_0(z0)))))))))))))))))))) -> c11(0'(1(2(1(1(0(1(1(2(1(2(0(1(0(1(2(2(0(2(2(z0)))))))))))))))))))), 1'(2(1(1(0(1(1(2(1(2(0(1(0(1(2(2(0(2(2(z0))))))))))))))))))), 1'(1(0(1(1(2(1(2(0(1(0(1(2(2(0(2(2(z0))))))))))))))))), 1'(0(1(1(2(1(2(0(1(0(1(2(2(0(2(2(z0)))))))))))))))), 0'(1(1(2(1(2(0(1(0(1(2(2(0(2(2(z0))))))))))))))), 1'(1(2(1(2(0(1(0(1(2(2(0(2(2(z0)))))))))))))), 1'(2(1(2(0(1(0(1(2(2(0(2(2(z0))))))))))))), 1'(2(0(1(0(1(2(2(0(2(2(z0))))))))))), 0'(1(0(1(2(2(0(2(2(z0))))))))), 1'(0(1(2(2(0(2(2(z0)))))))), 0'(1(2(2(0(2(2(z0))))))), 1'(2(2(0(2(2(z0)))))), 0'(2(2(z0))))
   0'(c_0(c_1(c_0(c_0(c_1(c_1(2(c_1(c_1(2(2(c_1(c_1(2(2(c_1(c_1(c_0(2(z0)))))))))))))))))))) -> c12(0'(1(1(0(0(2(0(0(2(0(2(1(1(1(1(1(0(2(0(2(z0)))))))))))))))))))), 1'(1(0(0(2(0(0(2(0(2(1(1(1(1(1(0(2(0(2(z0))))))))))))))))))), 1'(0(0(2(0(0(2(0(2(1(1(1(1(1(0(2(0(2(z0)))))))))))))))))), 0'(0(2(0(0(2(0(2(1(1(1(1(1(0(2(0(2(z0))))))))))))))))), 0'(2(0(0(2(0(2(1(1(1(1(1(0(2(0(2(z0)))))))))))))))), 0'(0(2(0(2(1(1(1(1(1(0(2(0(2(z0)))))))))))))), 0'(2(0(2(1(1(1(1(1(0(2(0(2(z0))))))))))))), 0'(2(1(1(1(1(1(0(2(0(2(z0))))))))))), 1'(1(1(1(1(0(2(0(2(z0))))))))), 1'(1(1(1(0(2(0(2(z0)))))))), 1'(1(1(0(2(0(2(z0))))))), 1'(1(0(2(0(2(z0)))))), 1'(0(2(0(2(z0))))), 0'(2(0(2(z0)))), 0'(2(z0)))
   0'(c_1(c_1(c_0(c_1(c_0(2(c_1(c_1(2(2(c_0(2(c_0(2(c_0(2(2(c_0(c_1(z0)))))))))))))))))))) -> c13(0'(2(0(2(1(0(0(1(2(2(1(2(2(1(2(2(1(2(2(0(z0)))))))))))))))))))), 0'(2(1(0(0(1(2(2(1(2(2(1(2(2(1(2(2(0(z0)))))))))))))))))), 1'(0(0(1(2(2(1(2(2(1(2(2(1(2(2(0(z0)))))))))))))))), 0'(0(1(2(2(1(2(2(1(2(2(1(2(2(0(z0))))))))))))))), 0'(1(2(2(1(2(2(1(2(2(1(2(2(0(z0)))))))))))))), 1'(2(2(1(2(2(1(2(2(1(2(2(0(z0))))))))))))), 1'(2(2(1(2(2(1(2(2(0(z0)))))))))), 1'(2(2(1(2(2(0(z0))))))), 1'(2(2(0(z0)))), 0'(z0))
   0'(c_1(c_0(c_1(c_1(c_1(c_1(2(c_0(2(2(2(2(2(2(c_1(c_0(2(c_0(c_1(z0)))))))))))))))))))) -> c14(0'(0(0(2(2(1(0(0(1(2(1(0(2(2(1(0(0(2(2(1(z0)))))))))))))))))))), 0'(0(2(2(1(0(0(1(2(1(0(2(2(1(0(0(2(2(1(z0))))))))))))))))))), 0'(2(2(1(0(0(1(2(1(0(2(2(1(0(0(2(2(1(z0)))))))))))))))))), 1'(0(0(1(2(1(0(2(2(1(0(0(2(2(1(z0))))))))))))))), 0'(0(1(2(1(0(2(2(1(0(0(2(2(1(z0)))))))))))))), 0'(1(2(1(0(2(2(1(0(0(2(2(1(z0))))))))))))), 1'(2(1(0(2(2(1(0(0(2(2(1(z0)))))))))))), 1'(0(2(2(1(0(0(2(2(1(z0)))))))))), 0'(2(2(1(0(0(2(2(1(z0))))))))), 1'(0(0(2(2(1(z0)))))), 0'(0(2(2(1(z0))))), 0'(2(2(1(z0)))), 1'(z0))
   0'(c_0(2(2(c_0(c_0(c_1(c_0(2(2(c_1(c_1(2(2(c_1(c_0(2(2(c_0(c_1(z0)))))))))))))))))))) -> c15(0'(2(0(2(2(1(0(0(2(2(1(2(1(1(0(0(2(0(2(1(z0)))))))))))))))))))), 0'(2(2(1(0(0(2(2(1(2(1(1(0(0(2(0(2(1(z0)))))))))))))))))), 1'(0(0(2(2(1(2(1(1(0(0(2(0(2(1(z0))))))))))))))), 0'(0(2(2(1(2(1(1(0(0(2(0(2(1(z0)))))))))))))), 0'(2(2(1(2(1(1(0(0(2(0(2(1(z0))))))))))))), 1'(2(1(1(0(0(2(0(2(1(z0)))))))))), 1'(1(0(0(2(0(2(1(z0)))))))), 1'(0(0(2(0(2(1(z0))))))), 0'(0(2(0(2(1(z0)))))), 0'(2(0(2(1(z0))))), 0'(2(1(z0))), 1'(z0))
   0'(c_0(2(2(c_1(c_1(c_1(c_0(c_1(c_0(c_1(c_0(c_1(2(2(2(c_1(2(c_0(c_0(z0)))))))))))))))))))) -> c16(0'(1(0(2(0(2(2(1(0(1(0(2(1(2(1(0(1(1(1(2(z0)))))))))))))))))))), 1'(0(2(0(2(2(1(0(1(0(2(1(2(1(0(1(1(1(2(z0))))))))))))))))))), 0'(2(0(2(2(1(0(1(0(2(1(2(1(0(1(1(1(2(z0)))))))))))))))))), 0'(2(2(1(0(1(0(2(1(2(1(0(1(1(1(2(z0)))))))))))))))), 1'(0(1(0(2(1(2(1(0(1(1(1(2(z0))))))))))))), 0'(1(0(2(1(2(1(0(1(1(1(2(z0)))))))))))), 1'(0(2(1(2(1(0(1(1(1(2(z0))))))))))), 0'(2(1(2(1(0(1(1(1(2(z0)))))))))), 1'(2(1(0(1(1(1(2(z0)))))))), 1'(0(1(1(1(2(z0)))))), 0'(1(1(1(2(z0))))), 1'(1(1(2(z0)))), 1'(1(2(z0))), 1'(2(z0)))
   0'(c_1(c_1(c_0(c_0(2(c_0(2(c_1(c_1(c_1(2(c_1(2(c_1(c_0(c_0(c_1(c_1(c_1(z0)))))))))))))))))))) -> c17(0'(1(0(0(2(2(0(0(2(2(0(2(0(0(1(2(1(0(1(2(z0)))))))))))))))))))), 1'(0(0(2(2(0(0(2(2(0(2(0(0(1(2(1(0(1(2(z0))))))))))))))))))), 0'(0(2(2(0(0(2(2(0(2(0(0(1(2(1(0(1(2(z0)))))))))))))))))), 0'(2(2(0(0(2(2(0(2(0(0(1(2(1(0(1(2(z0))))))))))))))))), 0'(0(2(2(0(2(0(0(1(2(1(0(1(2(z0)))))))))))))), 0'(2(2(0(2(0(0(1(2(1(0(1(2(z0))))))))))))), 0'(2(0(0(1(2(1(0(1(2(z0)))))))))), 0'(0(1(2(1(0(1(2(z0)))))))), 0'(1(2(1(0(1(2(z0))))))), 1'(2(1(0(1(2(z0)))))), 1'(0(1(2(z0)))), 0'(1(2(z0))), 1'(2(z0)))
   0'(c_1(c_1(c_0(2(c_1(2(c_1(c_1(c_0(c_1(c_1(2(c_1(c_0(c_1(c_0(c_1(c_1(c_1(z0)))))))))))))))))))) -> c18(0'(1(1(1(2(1(2(2(0(1(1(0(2(2(0(0(2(1(0(2(z0)))))))))))))))))))), 1'(1(1(2(1(2(2(0(1(1(0(2(2(0(0(2(1(0(2(z0))))))))))))))))))), 1'(1(2(1(2(2(0(1(1(0(2(2(0(0(2(1(0(2(z0)))))))))))))))))), 1'(2(1(2(2(0(1(1(0(2(2(0(0(2(1(0(2(z0))))))))))))))))), 1'(2(2(0(1(1(0(2(2(0(0(2(1(0(2(z0))))))))))))))), 0'(1(1(0(2(2(0(0(2(1(0(2(z0)))))))))))), 1'(1(0(2(2(0(0(2(1(0(2(z0))))))))))), 1'(0(2(2(0(0(2(1(0(2(z0)))))))))), 0'(2(2(0(0(2(1(0(2(z0))))))))), 0'(0(2(1(0(2(z0)))))), 0'(2(1(0(2(z0))))), 1'(0(2(z0))), 0'(2(z0)))
   0'(2(c_1(c_1(c_1(2(2(c_0(c_0(c_0(2(c_1(c_0(c_1(2(2(c_1(c_0(2(c_0(z0)))))))))))))))))))) -> c19(0'(1(0(1(0(0(0(1(0(2(1(1(0(0(2(1(2(0(2(1(z0)))))))))))))))))))), 1'(0(1(0(0(0(1(0(2(1(1(0(0(2(1(2(0(2(1(z0))))))))))))))))))), 0'(1(0(0(0(1(0(2(1(1(0(0(2(1(2(0(2(1(z0)))))))))))))))))), 1'(0(0(0(1(0(2(1(1(0(0(2(1(2(0(2(1(z0))))))))))))))))), 0'(0(0(1(0(2(1(1(0(0(2(1(2(0(2(1(z0)))))))))))))))), 0'(0(1(0(2(1(1(0(0(2(1(2(0(2(1(z0))))))))))))))), 0'(1(0(2(1(1(0(0(2(1(2(0(2(1(z0)))))))))))))), 1'(0(2(1(1(0(0(2(1(2(0(2(1(z0))))))))))))), 0'(2(1(1(0(0(2(1(2(0(2(1(z0)))))))))))), 1'(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))))))), 1'(2(0(2(1(z0))))), 0'(2(1(z0))), 1'(z0))
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   0'(2(c_1(c_1(c_0(2(c_1(c_1(c_1(c_1(2(2(c_0(c_1(c_1(c_1(2(2(c_1(c_1(z0)))))))))))))))))))) -> c29(0'(0(2(0(0(1(0(2(2(1(0(1(1(0(0(2(0(2(2(1(z0)))))))))))))))))))), 0'(2(0(0(1(0(2(2(1(0(1(1(0(0(2(0(2(2(1(z0))))))))))))))))))), 0'(0(1(0(2(2(1(0(1(1(0(0(2(0(2(2(1(z0))))))))))))))))), 0'(1(0(2(2(1(0(1(1(0(0(2(0(2(2(1(z0)))))))))))))))), 1'(0(2(2(1(0(1(1(0(0(2(0(2(2(1(z0))))))))))))))), 0'(2(2(1(0(1(1(0(0(2(0(2(2(1(z0)))))))))))))), 1'(0(1(1(0(0(2(0(2(2(1(z0))))))))))), 0'(1(1(0(0(2(0(2(2(1(z0)))))))))), 1'(1(0(0(2(0(2(2(1(z0))))))))), 1'(0(0(2(0(2(2(1(z0)))))))), 0'(0(2(0(2(2(1(z0))))))), 0'(2(0(2(2(1(z0)))))), 0'(2(2(1(z0)))), 1'(z0))
   0'(c_0(2(2(2(c_0(c_1(c_0(c_1(c_1(c_1(c_0(c_1(c_0(c_0(c_0(c_1(c_1(2(c_0(z0)))))))))))))))))))) -> c30(0'(2(0(2(2(2(2(0(2(2(1(0(0(0(0(0(0(2(0(0(z0)))))))))))))))))))), 0'(2(2(2(2(0(2(2(1(0(0(0(0(0(0(2(0(0(z0)))))))))))))))))), 0'(2(2(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)))), 0'(0(z0)), 0'(z0))
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   0'(2(2(c_1(c_1(2(c_0(c_1(c_0(c_1(c_0(2(c_0(c_1(c_0(c_1(c_0(2(c_1(c_1(z0)))))))))))))))))))) -> c34(0'(1(1(0(0(1(1(0(0(2(2(1(1(2(2(0(0(0(2(0(z0)))))))))))))))))))), 1'(1(0(0(1(1(0(0(2(2(1(1(2(2(0(0(0(2(0(z0))))))))))))))))))), 1'(0(0(1(1(0(0(2(2(1(1(2(2(0(0(0(2(0(z0)))))))))))))))))), 0'(0(1(1(0(0(2(2(1(1(2(2(0(0(0(2(0(z0))))))))))))))))), 0'(1(1(0(0(2(2(1(1(2(2(0(0(0(2(0(z0)))))))))))))))), 1'(1(0(0(2(2(1(1(2(2(0(0(0(2(0(z0))))))))))))))), 1'(0(0(2(2(1(1(2(2(0(0(0(2(0(z0)))))))))))))), 0'(0(2(2(1(1(2(2(0(0(0(2(0(z0))))))))))))), 0'(2(2(1(1(2(2(0(0(0(2(0(z0)))))))))))), 1'(1(2(2(0(0(0(2(0(z0))))))))), 1'(2(2(0(0(0(2(0(z0)))))))), 0'(0(0(2(0(z0))))), 0'(0(2(0(z0)))), 0'(2(0(z0))), 0'(z0))
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   0'(c_1(2(c_0(c_0(2(c_1(c_1(c_0(2(c_1(c_0(c_1(c_1(c_1(c_0(c_1(c_1(c_0(c_0(z0)))))))))))))))))))) -> c84(0'(0(0(2(0(1(1(2(2(0(2(0(0(2(1(0(0(2(1(1(z0)))))))))))))))))))), 0'(0(2(0(1(1(2(2(0(2(0(0(2(1(0(0(2(1(1(z0))))))))))))))))))), 0'(2(0(1(1(2(2(0(2(0(0(2(1(0(0(2(1(1(z0)))))))))))))))))), 0'(1(1(2(2(0(2(0(0(2(1(0(0(2(1(1(z0)))))))))))))))), 1'(1(2(2(0(2(0(0(2(1(0(0(2(1(1(z0))))))))))))))), 1'(2(2(0(2(0(0(2(1(0(0(2(1(1(z0)))))))))))))), 0'(2(0(0(2(1(0(0(2(1(1(z0))))))))))), 0'(0(2(1(0(0(2(1(1(z0))))))))), 0'(2(1(0(0(2(1(1(z0)))))))), 1'(0(0(2(1(1(z0)))))), 0'(0(2(1(1(z0))))), 0'(2(1(1(z0)))), 1'(1(z0)), 1'(z0))
   0'(c_0(c_1(c_0(2(2(2(2(c_1(c_0(2(c_1(c_0(2(2(c_0(c_1(c_1(2(c_1(z0)))))))))))))))))))) -> c85(0'(0(1(0(0(0(0(2(2(2(2(0(0(0(1(0(0(2(1(1(z0)))))))))))))))))))), 0'(1(0(0(0(0(2(2(2(2(0(0(0(1(0(0(2(1(1(z0))))))))))))))))))), 1'(0(0(0(0(2(2(2(2(0(0(0(1(0(0(2(1(1(z0)))))))))))))))))), 0'(0(0(0(2(2(2(2(0(0(0(1(0(0(2(1(1(z0))))))))))))))))), 0'(0(0(2(2(2(2(0(0(0(1(0(0(2(1(1(z0)))))))))))))))), 0'(0(2(2(2(2(0(0(0(1(0(0(2(1(1(z0))))))))))))))), 0'(2(2(2(2(0(0(0(1(0(0(2(1(1(z0)))))))))))))), 0'(0(0(1(0(0(2(1(1(z0))))))))), 0'(0(1(0(0(2(1(1(z0)))))))), 0'(1(0(0(2(1(1(z0))))))), 1'(0(0(2(1(1(z0)))))), 0'(0(2(1(1(z0))))), 0'(2(1(1(z0)))), 1'(1(z0)), 1'(z0))
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   0'(c_0(c_1(2(c_0(c_1(2(c_0(c_1(c_1(c_1(c_0(2(2(c_1(c_0(2(c_1(c_1(2(z0)))))))))))))))))))) -> c89(0'(1(2(2(0(2(2(2(1(0(1(2(2(1(0(0(1(1(1(2(z0)))))))))))))))))))), 1'(2(2(0(2(2(2(1(0(1(2(2(1(0(0(1(1(1(2(z0))))))))))))))))))), 0'(2(2(2(1(0(1(2(2(1(0(0(1(1(1(2(z0)))))))))))))))), 1'(0(1(2(2(1(0(0(1(1(1(2(z0)))))))))))), 0'(1(2(2(1(0(0(1(1(1(2(z0))))))))))), 1'(2(2(1(0(0(1(1(1(2(z0)))))))))), 1'(0(0(1(1(1(2(z0))))))), 0'(0(1(1(1(2(z0)))))), 0'(1(1(1(2(z0))))), 1'(1(1(2(z0)))), 1'(1(2(z0))), 1'(2(z0)))
   0'(c_0(c_1(2(2(c_1(c_1(c_0(2(2(2(c_0(c_1(c_1(c_1(c_1(c_0(c_1(2(c_1(z0)))))))))))))))))))) -> c90(0'(1(2(2(0(1(1(1(2(0(2(0(0(1(2(0(2(1(2(0(z0)))))))))))))))))))), 1'(2(2(0(1(1(1(2(0(2(0(0(1(2(0(2(1(2(0(z0))))))))))))))))))), 0'(1(1(1(2(0(2(0(0(1(2(0(2(1(2(0(z0)))))))))))))))), 1'(1(1(2(0(2(0(0(1(2(0(2(1(2(0(z0))))))))))))))), 1'(1(2(0(2(0(0(1(2(0(2(1(2(0(z0)))))))))))))), 1'(2(0(2(0(0(1(2(0(2(1(2(0(z0))))))))))))), 0'(2(0(0(1(2(0(2(1(2(0(z0))))))))))), 0'(0(1(2(0(2(1(2(0(z0))))))))), 0'(1(2(0(2(1(2(0(z0)))))))), 1'(2(0(2(1(2(0(z0))))))), 0'(2(1(2(0(z0))))), 1'(2(0(z0))), 0'(z0))
   0'(c_1(c_0(c_1(c_0(c_1(c_1(c_0(c_0(c_0(c_1(c_0(2(c_1(c_1(2(c_0(c_1(c_0(c_1(z0)))))))))))))))))))) -> c93(0'(0(2(1(1(0(0(2(0(2(1(0(1(1(0(2(2(0(1(2(z0)))))))))))))))))))), 0'(2(1(1(0(0(2(0(2(1(0(1(1(0(2(2(0(1(2(z0))))))))))))))))))), 1'(1(0(0(2(0(2(1(0(1(1(0(2(2(0(1(2(z0))))))))))))))))), 1'(0(0(2(0(2(1(0(1(1(0(2(2(0(1(2(z0)))))))))))))))), 0'(0(2(0(2(1(0(1(1(0(2(2(0(1(2(z0))))))))))))))), 0'(2(0(2(1(0(1(1(0(2(2(0(1(2(z0)))))))))))))), 0'(2(1(0(1(1(0(2(2(0(1(2(z0)))))))))))), 1'(0(1(1(0(2(2(0(1(2(z0)))))))))), 0'(1(1(0(2(2(0(1(2(z0))))))))), 1'(1(0(2(2(0(1(2(z0)))))))), 1'(0(2(2(0(1(2(z0))))))), 0'(2(2(0(1(2(z0)))))), 0'(1(2(z0))), 1'(2(z0)))
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   0'(c_0(c_1(c_0(2(c_1(2(2(2(2(c_0(c_1(2(c_0(c_1(c_1(2(2(c_0(2(z0)))))))))))))))))))) -> c103(0'(0(2(1(1(0(0(2(2(2(0(1(2(2(0(1(2(2(0(2(z0)))))))))))))))))))), 0'(2(1(1(0(0(2(2(2(0(1(2(2(0(1(2(2(0(2(z0))))))))))))))))))), 1'(1(0(0(2(2(2(0(1(2(2(0(1(2(2(0(2(z0))))))))))))))))), 1'(0(0(2(2(2(0(1(2(2(0(1(2(2(0(2(z0)))))))))))))))), 0'(0(2(2(2(0(1(2(2(0(1(2(2(0(2(z0))))))))))))))), 0'(2(2(2(0(1(2(2(0(1(2(2(0(2(z0)))))))))))))), 0'(1(2(2(0(1(2(2(0(2(z0)))))))))), 1'(2(2(0(1(2(2(0(2(z0))))))))), 0'(1(2(2(0(2(z0)))))), 1'(2(2(0(2(z0))))), 0'(2(z0)))
   0'(c_1(c_1(c_0(c_1(2(c_1(2(c_0(2(2(c_1(c_0(c_0(2(c_0(c_1(c_0(c_1(c_1(z0)))))))))))))))))))) -> c104(0'(0(0(1(2(0(2(2(2(0(1(0(1(2(1(1(1(0(2(0(z0)))))))))))))))))))), 0'(0(1(2(0(2(2(2(0(1(0(1(2(1(1(1(0(2(0(z0))))))))))))))))))), 0'(1(2(0(2(2(2(0(1(0(1(2(1(1(1(0(2(0(z0)))))))))))))))))), 1'(2(0(2(2(2(0(1(0(1(2(1(1(1(0(2(0(z0))))))))))))))))), 0'(2(2(2(0(1(0(1(2(1(1(1(0(2(0(z0))))))))))))))), 0'(1(0(1(2(1(1(1(0(2(0(z0))))))))))), 1'(0(1(2(1(1(1(0(2(0(z0)))))))))), 0'(1(2(1(1(1(0(2(0(z0))))))))), 1'(2(1(1(1(0(2(0(z0)))))))), 1'(1(1(0(2(0(z0)))))), 1'(1(0(2(0(z0))))), 1'(0(2(0(z0)))), 0'(2(0(z0))), 0'(z0))
   1'(2(2(c_0(2(c_0(2(c_1(2(c_1(2(c_1(c_0(c_0(c_1(c_0(c_0(2(c_0(c_1(z0)))))))))))))))))))) -> c106(1'(0(1(2(0(1(0(0(1(0(0(0(2(1(0(0(1(0(0(2(z0)))))))))))))))))))), 0'(1(2(0(1(0(0(1(0(0(0(2(1(0(0(1(0(0(2(z0))))))))))))))))))), 1'(2(0(1(0(0(1(0(0(0(2(1(0(0(1(0(0(2(z0)))))))))))))))))), 0'(1(0(0(1(0(0(0(2(1(0(0(1(0(0(2(z0)))))))))))))))), 1'(0(0(1(0(0(0(2(1(0(0(1(0(0(2(z0))))))))))))))), 0'(0(1(0(0(0(2(1(0(0(1(0(0(2(z0)))))))))))))), 0'(1(0(0(0(2(1(0(0(1(0(0(2(z0))))))))))))), 1'(0(0(0(2(1(0(0(1(0(0(2(z0)))))))))))), 0'(0(0(2(1(0(0(1(0(0(2(z0))))))))))), 0'(0(2(1(0(0(1(0(0(2(z0)))))))))), 0'(2(1(0(0(1(0(0(2(z0))))))))), 1'(0(0(1(0(0(2(z0))))))), 0'(0(1(0(0(2(z0)))))), 0'(1(0(0(2(z0))))), 1'(0(0(2(z0)))), 0'(0(2(z0))), 0'(2(z0)))
   0'(2(c_1(c_1(c_1(c_0(2(c_1(c_1(c_0(c_1(c_0(2(2(c_0(c_0(2(c_0(2(c_1(z0)))))))))))))))))))) -> c9(0'(1(0(1(2(2(2(1(1(0(2(2(1(2(0(0(0(0(2(1(z0)))))))))))))))))))), 1'(0(1(2(2(2(1(1(0(2(2(1(2(0(0(0(0(2(1(z0))))))))))))))))))), 0'(1(2(2(2(1(1(0(2(2(1(2(0(0(0(0(2(1(z0)))))))))))))))))), 1'(1(0(2(2(1(2(0(0(0(0(2(1(z0))))))))))))), 1'(0(2(2(1(2(0(0(0(0(2(1(z0)))))))))))), 0'(2(2(1(2(0(0(0(0(2(1(z0))))))))))), 1'(2(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))), 1'(z0))
   0'(c_0(2(c_0(2(c_1(c_1(2(c_1(c_1(c_1(c_1(c_1(c_0(c_1(c_1(c_1(2(2(c_1(z0)))))))))))))))))))) -> c21(0'(2(0(0(2(1(1(2(2(0(2(0(1(2(2(2(1(1(1(2(z0)))))))))))))))))))), 0'(0(2(1(1(2(2(0(2(0(1(2(2(2(1(1(1(2(z0)))))))))))))))))), 0'(2(1(1(2(2(0(2(0(1(2(2(2(1(1(1(2(z0))))))))))))))))), 1'(1(2(2(0(2(0(1(2(2(2(1(1(1(2(z0))))))))))))))), 1'(2(2(0(2(0(1(2(2(2(1(1(1(2(z0)))))))))))))), 0'(2(0(1(2(2(2(1(1(1(2(z0))))))))))), 0'(1(2(2(2(1(1(1(2(z0))))))))), 1'(1(1(2(z0)))), 1'(1(2(z0))), 1'(2(z0)))
   0'(2(c_0(c_1(c_1(c_1(c_0(c_1(2(2(c_0(2(c_0(2(c_0(2(c_1(2(c_0(c_1(z0)))))))))))))))))))) -> c22(0'(2(2(0(1(2(2(2(2(1(0(2(1(2(0(0(2(2(2(1(z0)))))))))))))))))))), 0'(1(2(2(2(2(1(0(2(1(2(0(0(2(2(2(1(z0))))))))))))))))), 1'(0(2(1(2(0(0(2(2(2(1(z0))))))))))), 0'(2(1(2(0(0(2(2(2(1(z0)))))))))), 1'(2(0(0(2(2(2(1(z0)))))))), 0'(0(2(2(2(1(z0)))))), 0'(2(2(2(1(z0))))), 1'(z0))
   0'(2(c_0(2(c_1(c_0(c_0(c_1(2(c_0(2(c_0(c_1(c_0(c_1(c_1(c_1(2(2(c_1(z0)))))))))))))))))))) -> c31(0'(0(1(0(1(0(1(1(2(1(0(0(0(1(2(2(2(0(1(0(z0)))))))))))))))))))), 0'(1(0(1(0(1(1(2(1(0(0(0(1(2(2(2(0(1(0(z0))))))))))))))))))), 1'(0(1(0(1(1(2(1(0(0(0(1(2(2(2(0(1(0(z0)))))))))))))))))), 0'(1(0(1(1(2(1(0(0(0(1(2(2(2(0(1(0(z0))))))))))))))))), 1'(0(1(1(2(1(0(0(0(1(2(2(2(0(1(0(z0)))))))))))))))), 0'(1(1(2(1(0(0(0(1(2(2(2(0(1(0(z0))))))))))))))), 1'(1(2(1(0(0(0(1(2(2(2(0(1(0(z0)))))))))))))), 1'(2(1(0(0(0(1(2(2(2(0(1(0(z0))))))))))))), 1'(0(0(0(1(2(2(2(0(1(0(z0))))))))))), 0'(0(0(1(2(2(2(0(1(0(z0)))))))))), 0'(0(1(2(2(2(0(1(0(z0))))))))), 0'(1(2(2(2(0(1(0(z0)))))))), 0'(1(0(z0))), 1'(0(z0)), 0'(z0))
   0'(c_1(c_1(2(c_0(c_1(c_0(c_0(c_1(2(c_0(2(c_1(c_0(c_0(c_0(c_0(2(c_0(c_1(z0)))))))))))))))))))) -> c40(0'(0(2(1(2(2(2(1(2(1(0(0(0(2(2(1(0(1(2(0(z0)))))))))))))))))))), 0'(2(1(2(2(2(1(2(1(0(0(0(2(2(1(0(1(2(0(z0))))))))))))))))))), 1'(2(1(0(0(0(2(2(1(0(1(2(0(z0))))))))))))), 1'(0(0(0(2(2(1(0(1(2(0(z0))))))))))), 0'(0(0(2(2(1(0(1(2(0(z0)))))))))), 0'(0(2(2(1(0(1(2(0(z0))))))))), 0'(2(2(1(0(1(2(0(z0)))))))), 1'(0(1(2(0(z0))))), 0'(1(2(0(z0)))), 1'(2(0(z0))), 0'(z0))
   0'(c_1(c_0(2(2(2(c_1(2(c_1(c_1(c_1(2(c_1(c_0(2(c_1(c_1(c_1(c_0(c_1(z0)))))))))))))))))))) -> c61(0'(0(1(2(2(2(1(0(0(1(1(2(1(1(2(0(0(1(2(0(z0)))))))))))))))))))), 0'(1(2(2(2(1(0(0(1(1(2(1(1(2(0(0(1(2(0(z0))))))))))))))))))), 1'(0(0(1(1(2(1(1(2(0(0(1(2(0(z0)))))))))))))), 0'(0(1(1(2(1(1(2(0(0(1(2(0(z0))))))))))))), 0'(1(1(2(1(1(2(0(0(1(2(0(z0)))))))))))), 1'(1(2(1(1(2(0(0(1(2(0(z0))))))))))), 1'(2(1(1(2(0(0(1(2(0(z0)))))))))), 1'(1(2(0(0(1(2(0(z0)))))))), 1'(2(0(0(1(2(0(z0))))))), 0'(0(1(2(0(z0))))), 0'(1(2(0(z0)))), 1'(2(0(z0))), 0'(z0))
   0'(c_1(c_1(c_0(2(c_1(c_1(c_0(c_0(c_1(c_1(c_1(2(2(2(c_0(2(c_0(c_0(2(z0)))))))))))))))))))) -> c63(0'(1(2(1(0(2(1(0(1(2(2(2(0(0(2(0(2(2(1(2(z0)))))))))))))))))))), 1'(2(1(0(2(1(0(1(2(2(2(0(0(2(0(2(2(1(2(z0))))))))))))))))))), 1'(0(2(1(0(1(2(2(2(0(0(2(0(2(2(1(2(z0))))))))))))))))), 0'(2(1(0(1(2(2(2(0(0(2(0(2(2(1(2(z0)))))))))))))))), 1'(0(1(2(2(2(0(0(2(0(2(2(1(2(z0)))))))))))))), 0'(1(2(2(2(0(0(2(0(2(2(1(2(z0))))))))))))), 0'(0(2(0(2(2(1(2(z0)))))))), 0'(2(0(2(2(1(2(z0))))))), 0'(2(2(1(2(z0))))), 1'(2(z0)))
   0'(c_1(c_1(c_1(c_1(2(c_0(c_0(c_0(2(2(2(2(c_1(c_0(2(2(2(c_0(c_1(z0)))))))))))))))))))) -> c65(0'(2(0(0(0(1(2(0(1(2(2(2(1(2(1(1(1(2(1(2(z0)))))))))))))))))))), 0'(0(0(1(2(0(1(2(2(2(1(2(1(1(1(2(1(2(z0)))))))))))))))))), 0'(0(1(2(0(1(2(2(2(1(2(1(1(1(2(1(2(z0))))))))))))))))), 0'(1(2(0(1(2(2(2(1(2(1(1(1(2(1(2(z0)))))))))))))))), 1'(2(0(1(2(2(2(1(2(1(1(1(2(1(2(z0))))))))))))))), 0'(1(2(2(2(1(2(1(1(1(2(1(2(z0))))))))))))), 1'(2(1(1(1(2(1(2(z0)))))))), 1'(1(1(2(1(2(z0)))))), 1'(1(2(1(2(z0))))), 1'(2(1(2(z0)))), 1'(2(z0)))
   0'(2(c_1(c_1(c_1(c_0(c_0(c_1(2(c_1(2(c_1(c_1(2(c_0(2(c_1(c_0(c_1(2(z0)))))))))))))))))))) -> c74(0'(1(0(1(0(2(0(0(0(1(1(1(2(0(0(0(1(2(2(2(z0)))))))))))))))))))), 1'(0(1(0(2(0(0(0(1(1(1(2(0(0(0(1(2(2(2(z0))))))))))))))))))), 0'(1(0(2(0(0(0(1(1(1(2(0(0(0(1(2(2(2(z0)))))))))))))))))), 1'(0(2(0(0(0(1(1(1(2(0(0(0(1(2(2(2(z0))))))))))))))))), 0'(2(0(0(0(1(1(1(2(0(0(0(1(2(2(2(z0)))))))))))))))), 0'(0(0(1(1(1(2(0(0(0(1(2(2(2(z0)))))))))))))), 0'(0(1(1(1(2(0(0(0(1(2(2(2(z0))))))))))))), 0'(1(1(1(2(0(0(0(1(2(2(2(z0)))))))))))), 1'(1(1(2(0(0(0(1(2(2(2(z0))))))))))), 1'(1(2(0(0(0(1(2(2(2(z0)))))))))), 1'(2(0(0(0(1(2(2(2(z0))))))))), 0'(0(0(1(2(2(2(z0))))))), 0'(0(1(2(2(2(z0)))))), 0'(1(2(2(2(z0))))))
   0'(2(2(c_1(c_1(c_1(c_1(c_0(c_0(c_1(c_0(c_1(c_0(2(2(c_1(c_1(2(2(c_1(z0)))))))))))))))))))) -> c75(0'(2(2(2(0(2(2(1(1(2(2(2(2(0(2(0(0(2(0(2(z0)))))))))))))))))))), 0'(2(2(1(1(2(2(2(2(0(2(0(0(2(0(2(z0)))))))))))))))), 1'(1(2(2(2(2(0(2(0(0(2(0(2(z0))))))))))))), 0'(2(0(0(2(0(2(z0))))))), 0'(0(2(0(2(z0))))), 0'(2(0(2(z0)))), 0'(2(z0)))
   0'(c_1(c_0(c_1(c_1(2(2(c_0(c_0(c_0(2(2(2(c_1(c_1(c_0(c_1(c_1(c_1(c_1(z0)))))))))))))))))))) -> c81(0'(0(2(2(2(2(2(2(1(1(0(1(2(2(0(1(2(0(2(1(z0)))))))))))))))))))), 1'(1(0(1(2(2(0(1(2(0(2(1(z0)))))))))))), 1'(0(1(2(2(0(1(2(0(2(1(z0))))))))))), 0'(1(2(2(0(1(2(0(2(1(z0)))))))))), 1'(2(2(0(1(2(0(2(1(z0))))))))), 0'(1(2(0(2(1(z0)))))), 1'(2(0(2(1(z0))))), 0'(2(1(z0))), 1'(z0))
   0'(c_0(c_1(c_1(c_0(2(2(c_1(c_1(c_1(c_1(c_1(2(c_0(2(c_1(c_0(2(2(c_1(z0)))))))))))))))))))) -> c82(0'(2(0(1(1(0(1(2(2(2(0(0(2(2(2(0(2(0(0(0(z0)))))))))))))))))))), 0'(1(1(0(1(2(2(2(0(0(2(2(2(0(2(0(0(0(z0)))))))))))))))))), 1'(1(0(1(2(2(2(0(0(2(2(2(0(2(0(0(0(z0))))))))))))))))), 1'(0(1(2(2(2(0(0(2(2(2(0(2(0(0(0(z0)))))))))))))))), 0'(1(2(2(2(0(0(2(2(2(0(2(0(0(0(z0))))))))))))))), 0'(0(2(2(2(0(2(0(0(0(z0)))))))))), 0'(2(2(2(0(2(0(0(0(z0))))))))), 0'(2(0(0(0(z0))))), 0'(0(0(z0))), 0'(0(z0)), 0'(z0))
   0'(c_1(c_1(c_0(c_1(c_1(c_1(c_1(2(c_0(2(c_0(2(2(2(c_0(c_0(c_0(2(c_1(z0)))))))))))))))))))) -> c86(0'(1(0(1(2(2(2(0(2(2(1(1(2(2(2(0(0(0(1(0(z0)))))))))))))))))))), 1'(0(1(2(2(2(0(2(2(1(1(2(2(2(0(0(0(1(0(z0))))))))))))))))))), 0'(1(2(2(2(0(2(2(1(1(2(2(2(0(0(0(1(0(z0)))))))))))))))))), 0'(2(2(1(1(2(2(2(0(0(0(1(0(z0))))))))))))), 1'(1(2(2(2(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_1(c_0(c_1(2(2(2(c_1(c_1(2(c_1(2(c_1(c_0(2(c_0(c_1(2(c_0(z0)))))))))))))))))))) -> c87(0'(2(0(1(1(2(2(2(1(0(0(2(1(0(0(0(0(2(0(2(z0)))))))))))))))))))), 0'(1(1(2(2(2(1(0(0(2(1(0(0(0(0(2(0(2(z0)))))))))))))))))), 1'(1(2(2(2(1(0(0(2(1(0(0(0(0(2(0(2(z0))))))))))))))))), 1'(0(0(2(1(0(0(0(0(2(0(2(z0)))))))))))), 0'(0(2(1(0(0(0(0(2(0(2(z0))))))))))), 0'(2(1(0(0(0(0(2(0(2(z0)))))))))), 1'(0(0(0(0(2(0(2(z0)))))))), 0'(0(0(0(2(0(2(z0))))))), 0'(0(0(2(0(2(z0)))))), 0'(0(2(0(2(z0))))), 0'(2(0(2(z0)))), 0'(2(z0)))
   0'(c_1(c_1(2(c_0(2(c_0(2(2(c_1(c_1(2(c_0(c_1(2(2(c_0(c_1(c_0(c_0(z0)))))))))))))))))))) -> c91(0'(1(2(0(0(0(2(1(2(0(1(2(2(2(2(0(1(1(0(1(z0)))))))))))))))))))), 1'(2(0(0(0(2(1(2(0(1(2(2(2(2(0(1(1(0(1(z0))))))))))))))))))), 0'(0(0(2(1(2(0(1(2(2(2(2(0(1(1(0(1(z0))))))))))))))))), 0'(0(2(1(2(0(1(2(2(2(2(0(1(1(0(1(z0)))))))))))))))), 0'(2(1(2(0(1(2(2(2(2(0(1(1(0(1(z0))))))))))))))), 1'(2(0(1(2(2(2(2(0(1(1(0(1(z0))))))))))))), 0'(1(2(2(2(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))
   0'(2(c_1(c_1(2(c_0(2(2(2(c_0(c_1(2(c_0(2(c_0(2(2(c_0(c_0(c_1(z0)))))))))))))))))))) -> c92(0'(0(2(1(2(0(0(0(2(0(1(2(2(2(1(0(1(1(1(0(z0)))))))))))))))))))), 0'(2(1(2(0(0(0(2(0(1(2(2(2(1(0(1(1(1(0(z0))))))))))))))))))), 1'(2(0(0(0(2(0(1(2(2(2(1(0(1(1(1(0(z0))))))))))))))))), 0'(0(0(2(0(1(2(2(2(1(0(1(1(1(0(z0))))))))))))))), 0'(0(2(0(1(2(2(2(1(0(1(1(1(0(z0)))))))))))))), 0'(2(0(1(2(2(2(1(0(1(1(1(0(z0))))))))))))), 0'(1(2(2(2(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))
   0'(c_1(2(c_1(c_0(c_1(2(2(c_1(c_1(c_0(c_0(c_1(c_1(2(2(c_1(c_0(c_1(c_1(z0)))))))))))))))))))) -> c96(0'(2(2(2(0(2(0(2(0(1(2(1(2(2(2(1(0(0(1(0(z0)))))))))))))))))))), 0'(2(0(2(0(1(2(1(2(2(2(1(0(0(1(0(z0)))))))))))))))), 0'(2(0(1(2(1(2(2(2(1(0(0(1(0(z0)))))))))))))), 0'(1(2(1(2(2(2(1(0(0(1(0(z0)))))))))))), 1'(2(1(2(2(2(1(0(0(1(0(z0))))))))))), 1'(0(0(1(0(z0))))), 0'(0(1(0(z0)))), 0'(1(0(z0))), 1'(0(z0)), 0'(z0))
   0'(2(2(c_1(c_1(2(2(c_1(c_0(2(c_1(2(c_1(c_1(2(2(2(c_0(2(c_0(z0)))))))))))))))))))) -> c97(0'(2(1(2(2(2(1(0(0(1(0(0(0(1(2(1(1(2(2(1(z0)))))))))))))))))))), 1'(0(0(1(0(0(0(1(2(1(1(2(2(1(z0)))))))))))))), 0'(0(1(0(0(0(1(2(1(1(2(2(1(z0))))))))))))), 0'(1(0(0(0(1(2(1(1(2(2(1(z0)))))))))))), 1'(0(0(0(1(2(1(1(2(2(1(z0))))))))))), 0'(0(0(1(2(1(1(2(2(1(z0)))))))))), 0'(0(1(2(1(1(2(2(1(z0))))))))), 0'(1(2(1(1(2(2(1(z0)))))))), 1'(2(1(1(2(2(1(z0))))))), 1'(1(2(2(1(z0))))), 1'(2(2(1(z0)))), 1'(z0))
   ENCODE_0(z0) -> c5(0'(encArg(z0)))
   ENCODE_1(z0) -> c5(1'(encArg(z0)))
   ENCARG(cons_0(2(z0))) -> c1(0'(2(encArg(z0))), ENCARG(2(z0)))
   ENCARG(cons_0(cons_0(z0))) -> c1(0'(0(encArg(z0))), ENCARG(cons_0(z0)))
   ENCARG(cons_0(cons_1(z0))) -> c1(0'(1(encArg(z0))), ENCARG(cons_1(z0)))
S tuples:
   0'(c_0(c_1(c_0(2(2(c_1(2(c_0(c_0(c_1(c_1(2(2(2(c_1(c_1(2(c_1(c_1(z0)))))))))))))))))))) -> c7(0'(2(0(2(2(0(0(1(2(0(2(0(0(1(1(0(0(2(1(1(z0)))))))))))))))))))), 0'(2(2(0(0(1(2(0(2(0(0(1(1(0(0(2(1(1(z0)))))))))))))))))), 0'(0(1(2(0(2(0(0(1(1(0(0(2(1(1(z0))))))))))))))), 0'(1(2(0(2(0(0(1(1(0(0(2(1(1(z0)))))))))))))), 1'(2(0(2(0(0(1(1(0(0(2(1(1(z0))))))))))))), 0'(2(0(0(1(1(0(0(2(1(1(z0))))))))))), 0'(0(1(1(0(0(2(1(1(z0))))))))), 0'(1(1(0(0(2(1(1(z0)))))))), 1'(1(0(0(2(1(1(z0))))))), 1'(0(0(2(1(1(z0)))))), 0'(0(2(1(1(z0))))), 0'(2(1(1(z0)))), 1'(1(z0)), 1'(z0))
   0'(c_1(c_0(c_1(2(c_1(c_1(c_1(c_0(c_0(c_1(c_1(2(2(2(c_0(2(c_0(c_1(2(z0)))))))))))))))))))) -> c8(0'(2(1(1(2(1(0(2(0(1(1(0(2(0(1(0(2(2(0(2(z0)))))))))))))))))))), 1'(1(2(1(0(2(0(1(1(0(2(0(1(0(2(2(0(2(z0)))))))))))))))))), 1'(2(1(0(2(0(1(1(0(2(0(1(0(2(2(0(2(z0))))))))))))))))), 1'(0(2(0(1(1(0(2(0(1(0(2(2(0(2(z0))))))))))))))), 0'(2(0(1(1(0(2(0(1(0(2(2(0(2(z0)))))))))))))), 0'(1(1(0(2(0(1(0(2(2(0(2(z0)))))))))))), 1'(1(0(2(0(1(0(2(2(0(2(z0))))))))))), 1'(0(2(0(1(0(2(2(0(2(z0)))))))))), 0'(2(0(1(0(2(2(0(2(z0))))))))), 0'(1(0(2(2(0(2(z0))))))), 1'(0(2(2(0(2(z0)))))), 0'(2(2(0(2(z0))))), 0'(2(z0)))
   0'(c_1(c_0(2(2(c_1(c_1(c_0(c_1(c_0(2(2(c_1(c_0(2(c_0(c_1(c_0(c_1(c_1(z0)))))))))))))))))))) -> c10(0'(1(2(0(0(2(2(0(0(0(0(2(1(2(1(0(1(2(0(2(z0)))))))))))))))))))), 1'(2(0(0(2(2(0(0(0(0(2(1(2(1(0(1(2(0(2(z0))))))))))))))))))), 0'(0(2(2(0(0(0(0(2(1(2(1(0(1(2(0(2(z0))))))))))))))))), 0'(2(2(0(0(0(0(2(1(2(1(0(1(2(0(2(z0)))))))))))))))), 0'(0(0(0(2(1(2(1(0(1(2(0(2(z0))))))))))))), 0'(0(0(2(1(2(1(0(1(2(0(2(z0)))))))))))), 0'(0(2(1(2(1(0(1(2(0(2(z0))))))))))), 0'(2(1(2(1(0(1(2(0(2(z0)))))))))), 1'(2(1(0(1(2(0(2(z0)))))))), 1'(0(1(2(0(2(z0)))))), 0'(1(2(0(2(z0))))), 1'(2(0(2(z0)))), 0'(2(z0)))
   0'(2(c_1(2(c_0(c_1(c_1(c_1(2(c_0(c_1(c_1(2(c_1(2(c_0(2(c_0(2(c_0(z0)))))))))))))))))))) -> c11(0'(1(2(1(1(0(1(1(2(1(2(0(1(0(1(2(2(0(2(2(z0)))))))))))))))))))), 1'(2(1(1(0(1(1(2(1(2(0(1(0(1(2(2(0(2(2(z0))))))))))))))))))), 1'(1(0(1(1(2(1(2(0(1(0(1(2(2(0(2(2(z0))))))))))))))))), 1'(0(1(1(2(1(2(0(1(0(1(2(2(0(2(2(z0)))))))))))))))), 0'(1(1(2(1(2(0(1(0(1(2(2(0(2(2(z0))))))))))))))), 1'(1(2(1(2(0(1(0(1(2(2(0(2(2(z0)))))))))))))), 1'(2(1(2(0(1(0(1(2(2(0(2(2(z0))))))))))))), 1'(2(0(1(0(1(2(2(0(2(2(z0))))))))))), 0'(1(0(1(2(2(0(2(2(z0))))))))), 1'(0(1(2(2(0(2(2(z0)))))))), 0'(1(2(2(0(2(2(z0))))))), 1'(2(2(0(2(2(z0)))))), 0'(2(2(z0))))
   0'(c_0(c_1(c_0(c_0(c_1(c_1(2(c_1(c_1(2(2(c_1(c_1(2(2(c_1(c_1(c_0(2(z0)))))))))))))))))))) -> c12(0'(1(1(0(0(2(0(0(2(0(2(1(1(1(1(1(0(2(0(2(z0)))))))))))))))))))), 1'(1(0(0(2(0(0(2(0(2(1(1(1(1(1(0(2(0(2(z0))))))))))))))))))), 1'(0(0(2(0(0(2(0(2(1(1(1(1(1(0(2(0(2(z0)))))))))))))))))), 0'(0(2(0(0(2(0(2(1(1(1(1(1(0(2(0(2(z0))))))))))))))))), 0'(2(0(0(2(0(2(1(1(1(1(1(0(2(0(2(z0)))))))))))))))), 0'(0(2(0(2(1(1(1(1(1(0(2(0(2(z0)))))))))))))), 0'(2(0(2(1(1(1(1(1(0(2(0(2(z0))))))))))))), 0'(2(1(1(1(1(1(0(2(0(2(z0))))))))))), 1'(1(1(1(1(0(2(0(2(z0))))))))), 1'(1(1(1(0(2(0(2(z0)))))))), 1'(1(1(0(2(0(2(z0))))))), 1'(1(0(2(0(2(z0)))))), 1'(0(2(0(2(z0))))), 0'(2(0(2(z0)))), 0'(2(z0)))
   0'(c_1(c_1(c_0(c_1(c_0(2(c_1(c_1(2(2(c_0(2(c_0(2(c_0(2(2(c_0(c_1(z0)))))))))))))))))))) -> c13(0'(2(0(2(1(0(0(1(2(2(1(2(2(1(2(2(1(2(2(0(z0)))))))))))))))))))), 0'(2(1(0(0(1(2(2(1(2(2(1(2(2(1(2(2(0(z0)))))))))))))))))), 1'(0(0(1(2(2(1(2(2(1(2(2(1(2(2(0(z0)))))))))))))))), 0'(0(1(2(2(1(2(2(1(2(2(1(2(2(0(z0))))))))))))))), 0'(1(2(2(1(2(2(1(2(2(1(2(2(0(z0)))))))))))))), 1'(2(2(1(2(2(1(2(2(1(2(2(0(z0))))))))))))), 1'(2(2(1(2(2(1(2(2(0(z0)))))))))), 1'(2(2(1(2(2(0(z0))))))), 1'(2(2(0(z0)))), 0'(z0))
   0'(c_1(c_0(c_1(c_1(c_1(c_1(2(c_0(2(2(2(2(2(2(c_1(c_0(2(c_0(c_1(z0)))))))))))))))))))) -> c14(0'(0(0(2(2(1(0(0(1(2(1(0(2(2(1(0(0(2(2(1(z0)))))))))))))))))))), 0'(0(2(2(1(0(0(1(2(1(0(2(2(1(0(0(2(2(1(z0))))))))))))))))))), 0'(2(2(1(0(0(1(2(1(0(2(2(1(0(0(2(2(1(z0)))))))))))))))))), 1'(0(0(1(2(1(0(2(2(1(0(0(2(2(1(z0))))))))))))))), 0'(0(1(2(1(0(2(2(1(0(0(2(2(1(z0)))))))))))))), 0'(1(2(1(0(2(2(1(0(0(2(2(1(z0))))))))))))), 1'(2(1(0(2(2(1(0(0(2(2(1(z0)))))))))))), 1'(0(2(2(1(0(0(2(2(1(z0)))))))))), 0'(2(2(1(0(0(2(2(1(z0))))))))), 1'(0(0(2(2(1(z0)))))), 0'(0(2(2(1(z0))))), 0'(2(2(1(z0)))), 1'(z0))
   0'(c_0(2(2(c_0(c_0(c_1(c_0(2(2(c_1(c_1(2(2(c_1(c_0(2(2(c_0(c_1(z0)))))))))))))))))))) -> c15(0'(2(0(2(2(1(0(0(2(2(1(2(1(1(0(0(2(0(2(1(z0)))))))))))))))))))), 0'(2(2(1(0(0(2(2(1(2(1(1(0(0(2(0(2(1(z0)))))))))))))))))), 1'(0(0(2(2(1(2(1(1(0(0(2(0(2(1(z0))))))))))))))), 0'(0(2(2(1(2(1(1(0(0(2(0(2(1(z0)))))))))))))), 0'(2(2(1(2(1(1(0(0(2(0(2(1(z0))))))))))))), 1'(2(1(1(0(0(2(0(2(1(z0)))))))))), 1'(1(0(0(2(0(2(1(z0)))))))), 1'(0(0(2(0(2(1(z0))))))), 0'(0(2(0(2(1(z0)))))), 0'(2(0(2(1(z0))))), 0'(2(1(z0))), 1'(z0))
   0'(c_0(2(2(c_1(c_1(c_1(c_0(c_1(c_0(c_1(c_0(c_1(2(2(2(c_1(2(c_0(c_0(z0)))))))))))))))))))) -> c16(0'(1(0(2(0(2(2(1(0(1(0(2(1(2(1(0(1(1(1(2(z0)))))))))))))))))))), 1'(0(2(0(2(2(1(0(1(0(2(1(2(1(0(1(1(1(2(z0))))))))))))))))))), 0'(2(0(2(2(1(0(1(0(2(1(2(1(0(1(1(1(2(z0)))))))))))))))))), 0'(2(2(1(0(1(0(2(1(2(1(0(1(1(1(2(z0)))))))))))))))), 1'(0(1(0(2(1(2(1(0(1(1(1(2(z0))))))))))))), 0'(1(0(2(1(2(1(0(1(1(1(2(z0)))))))))))), 1'(0(2(1(2(1(0(1(1(1(2(z0))))))))))), 0'(2(1(2(1(0(1(1(1(2(z0)))))))))), 1'(2(1(0(1(1(1(2(z0)))))))), 1'(0(1(1(1(2(z0)))))), 0'(1(1(1(2(z0))))), 1'(1(1(2(z0)))), 1'(1(2(z0))), 1'(2(z0)))
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   0'(c_1(c_1(c_0(2(2(c_0(c_1(2(2(2(c_0(2(2(c_1(2(c_1(2(c_1(c_0(z0)))))))))))))))))))) -> c24(0'(0(2(0(0(2(0(2(1(0(2(2(2(0(0(0(2(1(1(2(z0)))))))))))))))))))), 0'(2(0(0(2(0(2(1(0(2(2(2(0(0(0(2(1(1(2(z0))))))))))))))))))), 0'(0(2(0(2(1(0(2(2(2(0(0(0(2(1(1(2(z0))))))))))))))))), 0'(2(0(2(1(0(2(2(2(0(0(0(2(1(1(2(z0)))))))))))))))), 0'(2(1(0(2(2(2(0(0(0(2(1(1(2(z0)))))))))))))), 1'(0(2(2(2(0(0(0(2(1(1(2(z0)))))))))))), 0'(2(2(2(0(0(0(2(1(1(2(z0))))))))))), 0'(0(0(2(1(1(2(z0))))))), 0'(0(2(1(1(2(z0)))))), 0'(2(1(1(2(z0))))), 1'(1(2(z0))), 1'(2(z0)))
   0'(c_1(c_0(2(c_0(c_0(c_1(2(2(2(c_1(2(2(2(c_0(c_0(c_0(c_1(2(2(z0)))))))))))))))))))) -> c25(0'(1(0(1(1(2(1(0(0(1(0(0(2(2(2(1(0(2(0(0(z0)))))))))))))))))))), 1'(0(1(1(2(1(0(0(1(0(0(2(2(2(1(0(2(0(0(z0))))))))))))))))))), 0'(1(1(2(1(0(0(1(0(0(2(2(2(1(0(2(0(0(z0)))))))))))))))))), 1'(1(2(1(0(0(1(0(0(2(2(2(1(0(2(0(0(z0))))))))))))))))), 1'(2(1(0(0(1(0(0(2(2(2(1(0(2(0(0(z0)))))))))))))))), 1'(0(0(1(0(0(2(2(2(1(0(2(0(0(z0)))))))))))))), 0'(0(1(0(0(2(2(2(1(0(2(0(0(z0))))))))))))), 0'(1(0(0(2(2(2(1(0(2(0(0(z0)))))))))))), 1'(0(0(2(2(2(1(0(2(0(0(z0))))))))))), 0'(0(2(2(2(1(0(2(0(0(z0)))))))))), 0'(2(2(2(1(0(2(0(0(z0))))))))), 1'(0(2(0(0(z0))))), 0'(2(0(0(z0)))), 0'(0(z0)), 0'(z0))
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   0'(c_0(2(c_0(c_0(c_0(2(c_1(2(2(2(c_1(c_1(c_1(c_0(2(c_1(c_1(c_0(c_0(z0)))))))))))))))))))) -> c27(0'(2(0(1(2(0(1(2(0(1(0(1(2(2(1(2(1(0(0(0(z0)))))))))))))))))))), 0'(1(2(0(1(2(0(1(0(1(2(2(1(2(1(0(0(0(z0)))))))))))))))))), 1'(2(0(1(2(0(1(0(1(2(2(1(2(1(0(0(0(z0))))))))))))))))), 0'(1(2(0(1(0(1(2(2(1(2(1(0(0(0(z0))))))))))))))), 1'(2(0(1(0(1(2(2(1(2(1(0(0(0(z0)))))))))))))), 0'(1(0(1(2(2(1(2(1(0(0(0(z0)))))))))))), 1'(0(1(2(2(1(2(1(0(0(0(z0))))))))))), 0'(1(2(2(1(2(1(0(0(0(z0)))))))))), 1'(2(2(1(2(1(0(0(0(z0))))))))), 1'(2(1(0(0(0(z0)))))), 1'(0(0(0(z0)))), 0'(0(0(z0))), 0'(0(z0)), 0'(z0))
   0'(c_1(c_0(2(c_1(c_1(c_1(c_0(2(2(c_1(c_1(c_1(c_1(2(c_0(2(c_1(c_0(c_0(z0)))))))))))))))))))) -> c28(0'(2(1(0(2(0(0(1(2(2(0(0(0(1(1(1(1(0(2(2(z0)))))))))))))))))))), 1'(0(2(0(0(1(2(2(0(0(0(1(1(1(1(0(2(2(z0)))))))))))))))))), 0'(2(0(0(1(2(2(0(0(0(1(1(1(1(0(2(2(z0))))))))))))))))), 0'(0(1(2(2(0(0(0(1(1(1(1(0(2(2(z0))))))))))))))), 0'(1(2(2(0(0(0(1(1(1(1(0(2(2(z0)))))))))))))), 1'(2(2(0(0(0(1(1(1(1(0(2(2(z0))))))))))))), 0'(0(0(1(1(1(1(0(2(2(z0)))))))))), 0'(0(1(1(1(1(0(2(2(z0))))))))), 0'(1(1(1(1(0(2(2(z0)))))))), 1'(1(1(1(0(2(2(z0))))))), 1'(1(1(0(2(2(z0)))))), 1'(1(0(2(2(z0))))), 1'(0(2(2(z0)))), 0'(2(2(z0))))
   0'(2(c_1(c_1(c_0(2(c_1(c_1(c_1(c_1(2(2(c_0(c_1(c_1(c_1(2(2(c_1(c_1(z0)))))))))))))))))))) -> c29(0'(0(2(0(0(1(0(2(2(1(0(1(1(0(0(2(0(2(2(1(z0)))))))))))))))))))), 0'(2(0(0(1(0(2(2(1(0(1(1(0(0(2(0(2(2(1(z0))))))))))))))))))), 0'(0(1(0(2(2(1(0(1(1(0(0(2(0(2(2(1(z0))))))))))))))))), 0'(1(0(2(2(1(0(1(1(0(0(2(0(2(2(1(z0)))))))))))))))), 1'(0(2(2(1(0(1(1(0(0(2(0(2(2(1(z0))))))))))))))), 0'(2(2(1(0(1(1(0(0(2(0(2(2(1(z0)))))))))))))), 1'(0(1(1(0(0(2(0(2(2(1(z0))))))))))), 0'(1(1(0(0(2(0(2(2(1(z0)))))))))), 1'(1(0(0(2(0(2(2(1(z0))))))))), 1'(0(0(2(0(2(2(1(z0)))))))), 0'(0(2(0(2(2(1(z0))))))), 0'(2(0(2(2(1(z0)))))), 0'(2(2(1(z0)))), 1'(z0))
   0'(c_0(2(2(2(c_0(c_1(c_0(c_1(c_1(c_1(c_0(c_1(c_0(c_0(c_0(c_1(c_1(2(c_0(z0)))))))))))))))))))) -> c30(0'(2(0(2(2(2(2(0(2(2(1(0(0(0(0(0(0(2(0(0(z0)))))))))))))))))))), 0'(2(2(2(2(0(2(2(1(0(0(0(0(0(0(2(0(0(z0)))))))))))))))))), 0'(2(2(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)))), 0'(0(z0)), 0'(z0))
   0'(2(c_0(2(c_1(2(c_1(2(2(c_0(2(c_1(c_1(c_1(2(c_1(c_1(c_1(c_1(c_1(z0)))))))))))))))))))) -> c32(0'(1(1(1(0(2(1(0(1(2(1(0(0(0(2(1(1(2(0(1(z0)))))))))))))))))))), 1'(1(1(0(2(1(0(1(2(1(0(0(0(2(1(1(2(0(1(z0))))))))))))))))))), 1'(1(0(2(1(0(1(2(1(0(0(0(2(1(1(2(0(1(z0)))))))))))))))))), 1'(0(2(1(0(1(2(1(0(0(0(2(1(1(2(0(1(z0))))))))))))))))), 0'(2(1(0(1(2(1(0(0(0(2(1(1(2(0(1(z0)))))))))))))))), 1'(0(1(2(1(0(0(0(2(1(1(2(0(1(z0)))))))))))))), 0'(1(2(1(0(0(0(2(1(1(2(0(1(z0))))))))))))), 1'(2(1(0(0(0(2(1(1(2(0(1(z0)))))))))))), 1'(0(0(0(2(1(1(2(0(1(z0)))))))))), 0'(0(0(2(1(1(2(0(1(z0))))))))), 0'(0(2(1(1(2(0(1(z0)))))))), 0'(2(1(1(2(0(1(z0))))))), 1'(1(2(0(1(z0))))), 1'(2(0(1(z0)))), 0'(1(z0)), 1'(z0))
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   0'(c_1(2(c_0(c_0(c_1(2(c_0(2(c_0(c_0(c_1(c_0(2(c_0(c_0(2(c_1(2(c_0(z0)))))))))))))))))))) -> c44(0'(2(1(2(0(0(0(2(0(0(2(1(2(2(0(2(2(0(0(0(z0)))))))))))))))))))), 1'(2(0(0(0(2(0(0(2(1(2(2(0(2(2(0(0(0(z0)))))))))))))))))), 0'(0(0(2(0(0(2(1(2(2(0(2(2(0(0(0(z0)))))))))))))))), 0'(0(2(0(0(2(1(2(2(0(2(2(0(0(0(z0))))))))))))))), 0'(2(0(0(2(1(2(2(0(2(2(0(0(0(z0)))))))))))))), 0'(0(2(1(2(2(0(2(2(0(0(0(z0)))))))))))), 0'(2(1(2(2(0(2(2(0(0(0(z0))))))))))), 1'(2(2(0(2(2(0(0(0(z0))))))))), 0'(2(2(0(0(0(z0)))))), 0'(0(0(z0))), 0'(0(z0)), 0'(z0))
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   0'(2(2(c_1(2(c_0(c_1(c_1(c_0(c_0(c_1(c_1(2(c_0(c_1(c_1(c_0(2(2(2(z0)))))))))))))))))))) -> c76(0'(2(2(2(0(2(0(0(2(2(0(0(2(1(1(0(0(2(1(1(z0)))))))))))))))))))), 0'(2(0(0(2(2(0(0(2(1(1(0(0(2(1(1(z0)))))))))))))))), 0'(0(2(2(0(0(2(1(1(0(0(2(1(1(z0)))))))))))))), 0'(2(2(0(0(2(1(1(0(0(2(1(1(z0))))))))))))), 0'(0(2(1(1(0(0(2(1(1(z0)))))))))), 0'(2(1(1(0(0(2(1(1(z0))))))))), 1'(1(0(0(2(1(1(z0))))))), 1'(0(0(2(1(1(z0)))))), 0'(0(2(1(1(z0))))), 0'(2(1(1(z0)))), 1'(1(z0)), 1'(z0))
   0'(2(c_0(c_0(c_1(c_0(2(c_1(c_0(2(2(c_0(c_1(c_0(2(c_1(2(c_1(c_1(2(z0)))))))))))))))))))) -> c77(0'(2(1(0(2(1(0(2(1(2(1(0(1(2(0(1(0(0(0(0(z0)))))))))))))))))))), 1'(0(2(1(0(2(1(2(1(0(1(2(0(1(0(0(0(0(z0)))))))))))))))))), 0'(2(1(0(2(1(2(1(0(1(2(0(1(0(0(0(0(z0))))))))))))))))), 1'(0(2(1(2(1(0(1(2(0(1(0(0(0(0(z0))))))))))))))), 0'(2(1(2(1(0(1(2(0(1(0(0(0(0(z0)))))))))))))), 1'(2(1(0(1(2(0(1(0(0(0(0(z0)))))))))))), 1'(0(1(2(0(1(0(0(0(0(z0)))))))))), 0'(1(2(0(1(0(0(0(0(z0))))))))), 1'(2(0(1(0(0(0(0(z0)))))))), 0'(1(0(0(0(0(z0)))))), 1'(0(0(0(0(z0))))), 0'(0(0(0(z0)))), 0'(0(0(z0))), 0'(0(z0)), 0'(z0))
   0'(2(2(c_1(c_0(c_0(c_1(c_1(2(c_0(2(2(c_0(c_1(c_1(2(2(c_1(c_0(c_0(z0)))))))))))))))))))) -> c78(0'(2(1(0(2(2(0(0(0(0(0(1(2(1(0(1(1(2(1(1(z0)))))))))))))))))))), 1'(0(2(2(0(0(0(0(0(1(2(1(0(1(1(2(1(1(z0)))))))))))))))))), 0'(2(2(0(0(0(0(0(1(2(1(0(1(1(2(1(1(z0))))))))))))))))), 0'(0(0(0(0(1(2(1(0(1(1(2(1(1(z0)))))))))))))), 0'(0(0(0(1(2(1(0(1(1(2(1(1(z0))))))))))))), 0'(0(0(1(2(1(0(1(1(2(1(1(z0)))))))))))), 0'(0(1(2(1(0(1(1(2(1(1(z0))))))))))), 0'(1(2(1(0(1(1(2(1(1(z0)))))))))), 1'(2(1(0(1(1(2(1(1(z0))))))))), 1'(0(1(1(2(1(1(z0))))))), 0'(1(1(2(1(1(z0)))))), 1'(1(2(1(1(z0))))), 1'(2(1(1(z0)))), 1'(1(z0)), 1'(z0))
   0'(c_1(2(2(2(2(2(2(2(c_1(c_0(2(2(c_1(c_1(2(c_1(2(c_1(c_1(z0)))))))))))))))))))) -> c79(0'(2(1(0(2(1(0(1(2(0(0(0(1(2(0(0(0(0(0(1(z0)))))))))))))))))))), 1'(0(2(1(0(1(2(0(0(0(1(2(0(0(0(0(0(1(z0)))))))))))))))))), 0'(2(1(0(1(2(0(0(0(1(2(0(0(0(0(0(1(z0))))))))))))))))), 1'(0(1(2(0(0(0(1(2(0(0(0(0(0(1(z0))))))))))))))), 0'(1(2(0(0(0(1(2(0(0(0(0(0(1(z0)))))))))))))), 1'(2(0(0(0(1(2(0(0(0(0(0(1(z0))))))))))))), 0'(0(0(1(2(0(0(0(0(0(1(z0))))))))))), 0'(0(1(2(0(0(0(0(0(1(z0)))))))))), 0'(1(2(0(0(0(0(0(1(z0))))))))), 1'(2(0(0(0(0(0(1(z0)))))))), 0'(0(0(0(0(1(z0)))))), 0'(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(2(c_0(2(c_1(2(c_1(2(2(c_0(2(c_1(2(2(c_1(c_1(c_0(z0)))))))))))))))))))) -> c80(0'(2(0(1(1(1(0(1(0(1(2(0(2(2(1(0(2(0(0(2(z0)))))))))))))))))))), 0'(1(1(1(0(1(0(1(2(0(2(2(1(0(2(0(0(2(z0)))))))))))))))))), 1'(1(1(0(1(0(1(2(0(2(2(1(0(2(0(0(2(z0))))))))))))))))), 1'(1(0(1(0(1(2(0(2(2(1(0(2(0(0(2(z0)))))))))))))))), 1'(0(1(0(1(2(0(2(2(1(0(2(0(0(2(z0))))))))))))))), 0'(1(0(1(2(0(2(2(1(0(2(0(0(2(z0)))))))))))))), 1'(0(1(2(0(2(2(1(0(2(0(0(2(z0))))))))))))), 0'(1(2(0(2(2(1(0(2(0(0(2(z0)))))))))))), 1'(2(0(2(2(1(0(2(0(0(2(z0))))))))))), 0'(2(2(1(0(2(0(0(2(z0))))))))), 1'(0(2(0(0(2(z0)))))), 0'(2(0(0(2(z0))))), 0'(0(2(z0))), 0'(2(z0)))
   0'(2(c_1(c_1(2(c_1(2(2(2(c_0(c_0(c_1(c_0(2(c_1(c_1(c_1(2(2(c_0(z0)))))))))))))))))))) -> c83(0'(0(0(2(1(0(1(2(1(2(1(1(1(2(0(0(0(1(1(0(z0)))))))))))))))))))), 0'(0(2(1(0(1(2(1(2(1(1(1(2(0(0(0(1(1(0(z0))))))))))))))))))), 0'(2(1(0(1(2(1(2(1(1(1(2(0(0(0(1(1(0(z0)))))))))))))))))), 1'(0(1(2(1(2(1(1(1(2(0(0(0(1(1(0(z0)))))))))))))))), 0'(1(2(1(2(1(1(1(2(0(0(0(1(1(0(z0))))))))))))))), 1'(2(1(2(1(1(1(2(0(0(0(1(1(0(z0)))))))))))))), 1'(2(1(1(1(2(0(0(0(1(1(0(z0)))))))))))), 1'(1(1(2(0(0(0(1(1(0(z0)))))))))), 1'(1(2(0(0(0(1(1(0(z0))))))))), 1'(2(0(0(0(1(1(0(z0)))))))), 0'(0(0(1(1(0(z0)))))), 0'(0(1(1(0(z0))))), 0'(1(1(0(z0)))), 1'(1(0(z0))), 1'(0(z0)), 0'(z0))
   0'(c_1(2(c_0(c_0(2(c_1(c_1(c_0(2(c_1(c_0(c_1(c_1(c_1(c_0(c_1(c_1(c_0(c_0(z0)))))))))))))))))))) -> c84(0'(0(0(2(0(1(1(2(2(0(2(0(0(2(1(0(0(2(1(1(z0)))))))))))))))))))), 0'(0(2(0(1(1(2(2(0(2(0(0(2(1(0(0(2(1(1(z0))))))))))))))))))), 0'(2(0(1(1(2(2(0(2(0(0(2(1(0(0(2(1(1(z0)))))))))))))))))), 0'(1(1(2(2(0(2(0(0(2(1(0(0(2(1(1(z0)))))))))))))))), 1'(1(2(2(0(2(0(0(2(1(0(0(2(1(1(z0))))))))))))))), 1'(2(2(0(2(0(0(2(1(0(0(2(1(1(z0)))))))))))))), 0'(2(0(0(2(1(0(0(2(1(1(z0))))))))))), 0'(0(2(1(0(0(2(1(1(z0))))))))), 0'(2(1(0(0(2(1(1(z0)))))))), 1'(0(0(2(1(1(z0)))))), 0'(0(2(1(1(z0))))), 0'(2(1(1(z0)))), 1'(1(z0)), 1'(z0))
   0'(c_0(c_1(c_0(2(2(2(2(c_1(c_0(2(c_1(c_0(2(2(c_0(c_1(c_1(2(c_1(z0)))))))))))))))))))) -> c85(0'(0(1(0(0(0(0(2(2(2(2(0(0(0(1(0(0(2(1(1(z0)))))))))))))))))))), 0'(1(0(0(0(0(2(2(2(2(0(0(0(1(0(0(2(1(1(z0))))))))))))))))))), 1'(0(0(0(0(2(2(2(2(0(0(0(1(0(0(2(1(1(z0)))))))))))))))))), 0'(0(0(0(2(2(2(2(0(0(0(1(0(0(2(1(1(z0))))))))))))))))), 0'(0(0(2(2(2(2(0(0(0(1(0(0(2(1(1(z0)))))))))))))))), 0'(0(2(2(2(2(0(0(0(1(0(0(2(1(1(z0))))))))))))))), 0'(2(2(2(2(0(0(0(1(0(0(2(1(1(z0)))))))))))))), 0'(0(0(1(0(0(2(1(1(z0))))))))), 0'(0(1(0(0(2(1(1(z0)))))))), 0'(1(0(0(2(1(1(z0))))))), 1'(0(0(2(1(1(z0)))))), 0'(0(2(1(1(z0))))), 0'(2(1(1(z0)))), 1'(1(z0)), 1'(z0))
   0'(c_0(c_0(c_1(2(c_0(2(2(c_1(c_1(c_0(c_1(c_0(c_1(2(c_0(c_1(c_1(c_1(c_1(z0)))))))))))))))))))) -> c88(0'(1(2(0(1(2(1(0(1(0(1(0(2(0(1(1(1(1(0(2(z0)))))))))))))))))))), 1'(2(0(1(2(1(0(1(0(1(0(2(0(1(1(1(1(0(2(z0))))))))))))))))))), 0'(1(2(1(0(1(0(1(0(2(0(1(1(1(1(0(2(z0))))))))))))))))), 1'(2(1(0(1(0(1(0(2(0(1(1(1(1(0(2(z0)))))))))))))))), 1'(0(1(0(1(0(2(0(1(1(1(1(0(2(z0)))))))))))))), 0'(1(0(1(0(2(0(1(1(1(1(0(2(z0))))))))))))), 1'(0(1(0(2(0(1(1(1(1(0(2(z0)))))))))))), 0'(1(0(2(0(1(1(1(1(0(2(z0))))))))))), 1'(0(2(0(1(1(1(1(0(2(z0)))))))))), 0'(2(0(1(1(1(1(0(2(z0))))))))), 0'(1(1(1(1(0(2(z0))))))), 1'(1(1(1(0(2(z0)))))), 1'(1(1(0(2(z0))))), 1'(1(0(2(z0)))), 1'(0(2(z0))), 0'(2(z0)))
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   0'(c_1(c_0(c_1(c_1(2(c_1(c_0(c_0(c_0(2(2(2(c_1(2(c_1(2(c_1(c_0(2(z0)))))))))))))))))))) -> c102(0'(1(0(0(2(2(1(2(1(0(1(0(0(0(2(0(0(2(1(2(z0)))))))))))))))))))), 1'(0(0(2(2(1(2(1(0(1(0(0(0(2(0(0(2(1(2(z0))))))))))))))))))), 0'(0(2(2(1(2(1(0(1(0(0(0(2(0(0(2(1(2(z0)))))))))))))))))), 0'(2(2(1(2(1(0(1(0(0(0(2(0(0(2(1(2(z0))))))))))))))))), 1'(2(1(0(1(0(0(0(2(0(0(2(1(2(z0)))))))))))))), 1'(0(1(0(0(0(2(0(0(2(1(2(z0)))))))))))), 0'(1(0(0(0(2(0(0(2(1(2(z0))))))))))), 1'(0(0(0(2(0(0(2(1(2(z0)))))))))), 0'(0(0(2(0(0(2(1(2(z0))))))))), 0'(0(2(0(0(2(1(2(z0)))))))), 0'(2(0(0(2(1(2(z0))))))), 0'(0(2(1(2(z0))))), 0'(2(1(2(z0)))), 1'(2(z0)))
   0'(c_0(c_1(c_0(2(c_1(2(2(2(2(c_0(c_1(2(c_0(c_1(c_1(2(2(c_0(2(z0)))))))))))))))))))) -> c103(0'(0(2(1(1(0(0(2(2(2(0(1(2(2(0(1(2(2(0(2(z0)))))))))))))))))))), 0'(2(1(1(0(0(2(2(2(0(1(2(2(0(1(2(2(0(2(z0))))))))))))))))))), 1'(1(0(0(2(2(2(0(1(2(2(0(1(2(2(0(2(z0))))))))))))))))), 1'(0(0(2(2(2(0(1(2(2(0(1(2(2(0(2(z0)))))))))))))))), 0'(0(2(2(2(0(1(2(2(0(1(2(2(0(2(z0))))))))))))))), 0'(2(2(2(0(1(2(2(0(1(2(2(0(2(z0)))))))))))))), 0'(1(2(2(0(1(2(2(0(2(z0)))))))))), 1'(2(2(0(1(2(2(0(2(z0))))))))), 0'(1(2(2(0(2(z0)))))), 1'(2(2(0(2(z0))))), 0'(2(z0)))
   0'(c_1(c_1(c_0(c_1(2(c_1(2(c_0(2(2(c_1(c_0(c_0(2(c_0(c_1(c_0(c_1(c_1(z0)))))))))))))))))))) -> c104(0'(0(0(1(2(0(2(2(2(0(1(0(1(2(1(1(1(0(2(0(z0)))))))))))))))))))), 0'(0(1(2(0(2(2(2(0(1(0(1(2(1(1(1(0(2(0(z0))))))))))))))))))), 0'(1(2(0(2(2(2(0(1(0(1(2(1(1(1(0(2(0(z0)))))))))))))))))), 1'(2(0(2(2(2(0(1(0(1(2(1(1(1(0(2(0(z0))))))))))))))))), 0'(2(2(2(0(1(0(1(2(1(1(1(0(2(0(z0))))))))))))))), 0'(1(0(1(2(1(1(1(0(2(0(z0))))))))))), 1'(0(1(2(1(1(1(0(2(0(z0)))))))))), 0'(1(2(1(1(1(0(2(0(z0))))))))), 1'(2(1(1(1(0(2(0(z0)))))))), 1'(1(1(0(2(0(z0)))))), 1'(1(0(2(0(z0))))), 1'(0(2(0(z0)))), 0'(2(0(z0))), 0'(z0))
   1'(2(2(c_0(2(c_0(2(c_1(2(c_1(2(c_1(c_0(c_0(c_1(c_0(c_0(2(c_0(c_1(z0)))))))))))))))))))) -> c106(1'(0(1(2(0(1(0(0(1(0(0(0(2(1(0(0(1(0(0(2(z0)))))))))))))))))))), 0'(1(2(0(1(0(0(1(0(0(0(2(1(0(0(1(0(0(2(z0))))))))))))))))))), 1'(2(0(1(0(0(1(0(0(0(2(1(0(0(1(0(0(2(z0)))))))))))))))))), 0'(1(0(0(1(0(0(0(2(1(0(0(1(0(0(2(z0)))))))))))))))), 1'(0(0(1(0(0(0(2(1(0(0(1(0(0(2(z0))))))))))))))), 0'(0(1(0(0(0(2(1(0(0(1(0(0(2(z0)))))))))))))), 0'(1(0(0(0(2(1(0(0(1(0(0(2(z0))))))))))))), 1'(0(0(0(2(1(0(0(1(0(0(2(z0)))))))))))), 0'(0(0(2(1(0(0(1(0(0(2(z0))))))))))), 0'(0(2(1(0(0(1(0(0(2(z0)))))))))), 0'(2(1(0(0(1(0(0(2(z0))))))))), 1'(0(0(1(0(0(2(z0))))))), 0'(0(1(0(0(2(z0)))))), 0'(1(0(0(2(z0))))), 1'(0(0(2(z0)))), 0'(0(2(z0))), 0'(2(z0)))
   0'(2(c_1(c_1(c_1(c_0(2(c_1(c_1(c_0(c_1(c_0(2(2(c_0(c_0(2(c_0(2(c_1(z0)))))))))))))))))))) -> c9(0'(1(0(1(2(2(2(1(1(0(2(2(1(2(0(0(0(0(2(1(z0)))))))))))))))))))), 1'(0(1(2(2(2(1(1(0(2(2(1(2(0(0(0(0(2(1(z0))))))))))))))))))), 0'(1(2(2(2(1(1(0(2(2(1(2(0(0(0(0(2(1(z0)))))))))))))))))), 1'(1(0(2(2(1(2(0(0(0(0(2(1(z0))))))))))))), 1'(0(2(2(1(2(0(0(0(0(2(1(z0)))))))))))), 0'(2(2(1(2(0(0(0(0(2(1(z0))))))))))), 1'(2(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))), 1'(z0))
   0'(c_0(2(c_0(2(c_1(c_1(2(c_1(c_1(c_1(c_1(c_1(c_0(c_1(c_1(c_1(2(2(c_1(z0)))))))))))))))))))) -> c21(0'(2(0(0(2(1(1(2(2(0(2(0(1(2(2(2(1(1(1(2(z0)))))))))))))))))))), 0'(0(2(1(1(2(2(0(2(0(1(2(2(2(1(1(1(2(z0)))))))))))))))))), 0'(2(1(1(2(2(0(2(0(1(2(2(2(1(1(1(2(z0))))))))))))))))), 1'(1(2(2(0(2(0(1(2(2(2(1(1(1(2(z0))))))))))))))), 1'(2(2(0(2(0(1(2(2(2(1(1(1(2(z0)))))))))))))), 0'(2(0(1(2(2(2(1(1(1(2(z0))))))))))), 0'(1(2(2(2(1(1(1(2(z0))))))))), 1'(1(1(2(z0)))), 1'(1(2(z0))), 1'(2(z0)))
   0'(2(c_0(c_1(c_1(c_1(c_0(c_1(2(2(c_0(2(c_0(2(c_0(2(c_1(2(c_0(c_1(z0)))))))))))))))))))) -> c22(0'(2(2(0(1(2(2(2(2(1(0(2(1(2(0(0(2(2(2(1(z0)))))))))))))))))))), 0'(1(2(2(2(2(1(0(2(1(2(0(0(2(2(2(1(z0))))))))))))))))), 1'(0(2(1(2(0(0(2(2(2(1(z0))))))))))), 0'(2(1(2(0(0(2(2(2(1(z0)))))))))), 1'(2(0(0(2(2(2(1(z0)))))))), 0'(0(2(2(2(1(z0)))))), 0'(2(2(2(1(z0))))), 1'(z0))
   0'(2(c_0(2(c_1(c_0(c_0(c_1(2(c_0(2(c_0(c_1(c_0(c_1(c_1(c_1(2(2(c_1(z0)))))))))))))))))))) -> c31(0'(0(1(0(1(0(1(1(2(1(0(0(0(1(2(2(2(0(1(0(z0)))))))))))))))))))), 0'(1(0(1(0(1(1(2(1(0(0(0(1(2(2(2(0(1(0(z0))))))))))))))))))), 1'(0(1(0(1(1(2(1(0(0(0(1(2(2(2(0(1(0(z0)))))))))))))))))), 0'(1(0(1(1(2(1(0(0(0(1(2(2(2(0(1(0(z0))))))))))))))))), 1'(0(1(1(2(1(0(0(0(1(2(2(2(0(1(0(z0)))))))))))))))), 0'(1(1(2(1(0(0(0(1(2(2(2(0(1(0(z0))))))))))))))), 1'(1(2(1(0(0(0(1(2(2(2(0(1(0(z0)))))))))))))), 1'(2(1(0(0(0(1(2(2(2(0(1(0(z0))))))))))))), 1'(0(0(0(1(2(2(2(0(1(0(z0))))))))))), 0'(0(0(1(2(2(2(0(1(0(z0)))))))))), 0'(0(1(2(2(2(0(1(0(z0))))))))), 0'(1(2(2(2(0(1(0(z0)))))))), 0'(1(0(z0))), 1'(0(z0)), 0'(z0))
   0'(c_1(c_1(2(c_0(c_1(c_0(c_0(c_1(2(c_0(2(c_1(c_0(c_0(c_0(c_0(2(c_0(c_1(z0)))))))))))))))))))) -> c40(0'(0(2(1(2(2(2(1(2(1(0(0(0(2(2(1(0(1(2(0(z0)))))))))))))))))))), 0'(2(1(2(2(2(1(2(1(0(0(0(2(2(1(0(1(2(0(z0))))))))))))))))))), 1'(2(1(0(0(0(2(2(1(0(1(2(0(z0))))))))))))), 1'(0(0(0(2(2(1(0(1(2(0(z0))))))))))), 0'(0(0(2(2(1(0(1(2(0(z0)))))))))), 0'(0(2(2(1(0(1(2(0(z0))))))))), 0'(2(2(1(0(1(2(0(z0)))))))), 1'(0(1(2(0(z0))))), 0'(1(2(0(z0)))), 1'(2(0(z0))), 0'(z0))
   0'(c_1(c_0(2(2(2(c_1(2(c_1(c_1(c_1(2(c_1(c_0(2(c_1(c_1(c_1(c_0(c_1(z0)))))))))))))))))))) -> c61(0'(0(1(2(2(2(1(0(0(1(1(2(1(1(2(0(0(1(2(0(z0)))))))))))))))))))), 0'(1(2(2(2(1(0(0(1(1(2(1(1(2(0(0(1(2(0(z0))))))))))))))))))), 1'(0(0(1(1(2(1(1(2(0(0(1(2(0(z0)))))))))))))), 0'(0(1(1(2(1(1(2(0(0(1(2(0(z0))))))))))))), 0'(1(1(2(1(1(2(0(0(1(2(0(z0)))))))))))), 1'(1(2(1(1(2(0(0(1(2(0(z0))))))))))), 1'(2(1(1(2(0(0(1(2(0(z0)))))))))), 1'(1(2(0(0(1(2(0(z0)))))))), 1'(2(0(0(1(2(0(z0))))))), 0'(0(1(2(0(z0))))), 0'(1(2(0(z0)))), 1'(2(0(z0))), 0'(z0))
   0'(c_1(c_1(c_0(2(c_1(c_1(c_0(c_0(c_1(c_1(c_1(2(2(2(c_0(2(c_0(c_0(2(z0)))))))))))))))))))) -> c63(0'(1(2(1(0(2(1(0(1(2(2(2(0(0(2(0(2(2(1(2(z0)))))))))))))))))))), 1'(2(1(0(2(1(0(1(2(2(2(0(0(2(0(2(2(1(2(z0))))))))))))))))))), 1'(0(2(1(0(1(2(2(2(0(0(2(0(2(2(1(2(z0))))))))))))))))), 0'(2(1(0(1(2(2(2(0(0(2(0(2(2(1(2(z0)))))))))))))))), 1'(0(1(2(2(2(0(0(2(0(2(2(1(2(z0)))))))))))))), 0'(1(2(2(2(0(0(2(0(2(2(1(2(z0))))))))))))), 0'(0(2(0(2(2(1(2(z0)))))))), 0'(2(0(2(2(1(2(z0))))))), 0'(2(2(1(2(z0))))), 1'(2(z0)))
   0'(c_1(c_1(c_1(c_1(2(c_0(c_0(c_0(2(2(2(2(c_1(c_0(2(2(2(c_0(c_1(z0)))))))))))))))))))) -> c65(0'(2(0(0(0(1(2(0(1(2(2(2(1(2(1(1(1(2(1(2(z0)))))))))))))))))))), 0'(0(0(1(2(0(1(2(2(2(1(2(1(1(1(2(1(2(z0)))))))))))))))))), 0'(0(1(2(0(1(2(2(2(1(2(1(1(1(2(1(2(z0))))))))))))))))), 0'(1(2(0(1(2(2(2(1(2(1(1(1(2(1(2(z0)))))))))))))))), 1'(2(0(1(2(2(2(1(2(1(1(1(2(1(2(z0))))))))))))))), 0'(1(2(2(2(1(2(1(1(1(2(1(2(z0))))))))))))), 1'(2(1(1(1(2(1(2(z0)))))))), 1'(1(1(2(1(2(z0)))))), 1'(1(2(1(2(z0))))), 1'(2(1(2(z0)))), 1'(2(z0)))
   0'(2(c_1(c_1(c_1(c_0(c_0(c_1(2(c_1(2(c_1(c_1(2(c_0(2(c_1(c_0(c_1(2(z0)))))))))))))))))))) -> c74(0'(1(0(1(0(2(0(0(0(1(1(1(2(0(0(0(1(2(2(2(z0)))))))))))))))))))), 1'(0(1(0(2(0(0(0(1(1(1(2(0(0(0(1(2(2(2(z0))))))))))))))))))), 0'(1(0(2(0(0(0(1(1(1(2(0(0(0(1(2(2(2(z0)))))))))))))))))), 1'(0(2(0(0(0(1(1(1(2(0(0(0(1(2(2(2(z0))))))))))))))))), 0'(2(0(0(0(1(1(1(2(0(0(0(1(2(2(2(z0)))))))))))))))), 0'(0(0(1(1(1(2(0(0(0(1(2(2(2(z0)))))))))))))), 0'(0(1(1(1(2(0(0(0(1(2(2(2(z0))))))))))))), 0'(1(1(1(2(0(0(0(1(2(2(2(z0)))))))))))), 1'(1(1(2(0(0(0(1(2(2(2(z0))))))))))), 1'(1(2(0(0(0(1(2(2(2(z0)))))))))), 1'(2(0(0(0(1(2(2(2(z0))))))))), 0'(0(0(1(2(2(2(z0))))))), 0'(0(1(2(2(2(z0)))))), 0'(1(2(2(2(z0))))))
   0'(2(2(c_1(c_1(c_1(c_1(c_0(c_0(c_1(c_0(c_1(c_0(2(2(c_1(c_1(2(2(c_1(z0)))))))))))))))))))) -> c75(0'(2(2(2(0(2(2(1(1(2(2(2(2(0(2(0(0(2(0(2(z0)))))))))))))))))))), 0'(2(2(1(1(2(2(2(2(0(2(0(0(2(0(2(z0)))))))))))))))), 1'(1(2(2(2(2(0(2(0(0(2(0(2(z0))))))))))))), 0'(2(0(0(2(0(2(z0))))))), 0'(0(2(0(2(z0))))), 0'(2(0(2(z0)))), 0'(2(z0)))
   0'(c_1(c_0(c_1(c_1(2(2(c_0(c_0(c_0(2(2(2(c_1(c_1(c_0(c_1(c_1(c_1(c_1(z0)))))))))))))))))))) -> c81(0'(0(2(2(2(2(2(2(1(1(0(1(2(2(0(1(2(0(2(1(z0)))))))))))))))))))), 1'(1(0(1(2(2(0(1(2(0(2(1(z0)))))))))))), 1'(0(1(2(2(0(1(2(0(2(1(z0))))))))))), 0'(1(2(2(0(1(2(0(2(1(z0)))))))))), 1'(2(2(0(1(2(0(2(1(z0))))))))), 0'(1(2(0(2(1(z0)))))), 1'(2(0(2(1(z0))))), 0'(2(1(z0))), 1'(z0))
   0'(c_0(c_1(c_1(c_0(2(2(c_1(c_1(c_1(c_1(c_1(2(c_0(2(c_1(c_0(2(2(c_1(z0)))))))))))))))))))) -> c82(0'(2(0(1(1(0(1(2(2(2(0(0(2(2(2(0(2(0(0(0(z0)))))))))))))))))))), 0'(1(1(0(1(2(2(2(0(0(2(2(2(0(2(0(0(0(z0)))))))))))))))))), 1'(1(0(1(2(2(2(0(0(2(2(2(0(2(0(0(0(z0))))))))))))))))), 1'(0(1(2(2(2(0(0(2(2(2(0(2(0(0(0(z0)))))))))))))))), 0'(1(2(2(2(0(0(2(2(2(0(2(0(0(0(z0))))))))))))))), 0'(0(2(2(2(0(2(0(0(0(z0)))))))))), 0'(2(2(2(0(2(0(0(0(z0))))))))), 0'(2(0(0(0(z0))))), 0'(0(0(z0))), 0'(0(z0)), 0'(z0))
   0'(c_1(c_1(c_0(c_1(c_1(c_1(c_1(2(c_0(2(c_0(2(2(2(c_0(c_0(c_0(2(c_1(z0)))))))))))))))))))) -> c86(0'(1(0(1(2(2(2(0(2(2(1(1(2(2(2(0(0(0(1(0(z0)))))))))))))))))))), 1'(0(1(2(2(2(0(2(2(1(1(2(2(2(0(0(0(1(0(z0))))))))))))))))))), 0'(1(2(2(2(0(2(2(1(1(2(2(2(0(0(0(1(0(z0)))))))))))))))))), 0'(2(2(1(1(2(2(2(0(0(0(1(0(z0))))))))))))), 1'(1(2(2(2(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_1(c_0(c_1(2(2(2(c_1(c_1(2(c_1(2(c_1(c_0(2(c_0(c_1(2(c_0(z0)))))))))))))))))))) -> c87(0'(2(0(1(1(2(2(2(1(0(0(2(1(0(0(0(0(2(0(2(z0)))))))))))))))))))), 0'(1(1(2(2(2(1(0(0(2(1(0(0(0(0(2(0(2(z0)))))))))))))))))), 1'(1(2(2(2(1(0(0(2(1(0(0(0(0(2(0(2(z0))))))))))))))))), 1'(0(0(2(1(0(0(0(0(2(0(2(z0)))))))))))), 0'(0(2(1(0(0(0(0(2(0(2(z0))))))))))), 0'(2(1(0(0(0(0(2(0(2(z0)))))))))), 1'(0(0(0(0(2(0(2(z0)))))))), 0'(0(0(0(2(0(2(z0))))))), 0'(0(0(2(0(2(z0)))))), 0'(0(2(0(2(z0))))), 0'(2(0(2(z0)))), 0'(2(z0)))
   0'(c_1(c_1(2(c_0(2(c_0(2(2(c_1(c_1(2(c_0(c_1(2(2(c_0(c_1(c_0(c_0(z0)))))))))))))))))))) -> c91(0'(1(2(0(0(0(2(1(2(0(1(2(2(2(2(0(1(1(0(1(z0)))))))))))))))))))), 1'(2(0(0(0(2(1(2(0(1(2(2(2(2(0(1(1(0(1(z0))))))))))))))))))), 0'(0(0(2(1(2(0(1(2(2(2(2(0(1(1(0(1(z0))))))))))))))))), 0'(0(2(1(2(0(1(2(2(2(2(0(1(1(0(1(z0)))))))))))))))), 0'(2(1(2(0(1(2(2(2(2(0(1(1(0(1(z0))))))))))))))), 1'(2(0(1(2(2(2(2(0(1(1(0(1(z0))))))))))))), 0'(1(2(2(2(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))
   0'(2(c_1(c_1(2(c_0(2(2(2(c_0(c_1(2(c_0(2(c_0(2(2(c_0(c_0(c_1(z0)))))))))))))))))))) -> c92(0'(0(2(1(2(0(0(0(2(0(1(2(2(2(1(0(1(1(1(0(z0)))))))))))))))))))), 0'(2(1(2(0(0(0(2(0(1(2(2(2(1(0(1(1(1(0(z0))))))))))))))))))), 1'(2(0(0(0(2(0(1(2(2(2(1(0(1(1(1(0(z0))))))))))))))))), 0'(0(0(2(0(1(2(2(2(1(0(1(1(1(0(z0))))))))))))))), 0'(0(2(0(1(2(2(2(1(0(1(1(1(0(z0)))))))))))))), 0'(2(0(1(2(2(2(1(0(1(1(1(0(z0))))))))))))), 0'(1(2(2(2(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))
   0'(c_1(2(c_1(c_0(c_1(2(2(c_1(c_1(c_0(c_0(c_1(c_1(2(2(c_1(c_0(c_1(c_1(z0)))))))))))))))))))) -> c96(0'(2(2(2(0(2(0(2(0(1(2(1(2(2(2(1(0(0(1(0(z0)))))))))))))))))))), 0'(2(0(2(0(1(2(1(2(2(2(1(0(0(1(0(z0)))))))))))))))), 0'(2(0(1(2(1(2(2(2(1(0(0(1(0(z0)))))))))))))), 0'(1(2(1(2(2(2(1(0(0(1(0(z0)))))))))))), 1'(2(1(2(2(2(1(0(0(1(0(z0))))))))))), 1'(0(0(1(0(z0))))), 0'(0(1(0(z0)))), 0'(1(0(z0))), 1'(0(z0)), 0'(z0))
   0'(2(2(c_1(c_1(2(2(c_1(c_0(2(c_1(2(c_1(c_1(2(2(2(c_0(2(c_0(z0)))))))))))))))))))) -> c97(0'(2(1(2(2(2(1(0(0(1(0(0(0(1(2(1(1(2(2(1(z0)))))))))))))))))))), 1'(0(0(1(0(0(0(1(2(1(1(2(2(1(z0)))))))))))))), 0'(0(1(0(0(0(1(2(1(1(2(2(1(z0))))))))))))), 0'(1(0(0(0(1(2(1(1(2(2(1(z0)))))))))))), 1'(0(0(0(1(2(1(1(2(2(1(z0))))))))))), 0'(0(0(1(2(1(1(2(2(1(z0)))))))))), 0'(0(1(2(1(1(2(2(1(z0))))))))), 0'(1(2(1(1(2(2(1(z0)))))))), 1'(2(1(1(2(2(1(z0))))))), 1'(1(2(2(1(z0))))), 1'(2(2(1(z0)))), 1'(z0))
K tuples:none
Defined Rule Symbols:   encArg_1, 0_1, 1_1

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

Compound Symbols:   c_1, c2_2, c7_14, c8_13, c10_13, c11_13, c12_15, c13_10, c14_13, c15_12, c16_14, c17_13, c18_13, c19_16, c20_13, c23_16, c24_12, c25_15, c26_14, c27_14, c28_14, c29_14, c30_12, c32_16, c33_14, c34_15, c35_11, c36_16, c37_16, c38_13, c39_15, c41_16, c42_11, c43_16, c44_12, c45_16, c46_15, c47_18, c48_10, c49_14, c50_13, c51_15, c52_15, c53_14, c54_15, c55_15, c56_13, c57_9, c58_11, c59_14, c60_13, c62_16, c64_15, c66_16, c67_14, c68_15, c69_14, c70_13, c71_13, c72_16, c73_15, c76_12, c77_15, c78_15, c79_16, c80_14, c83_16, c84_14, c85_15, c88_16, c89_12, c90_13, c93_14, c94_12, c95_11, c98_13, c99_15, c100_13, c101_17, c102_14, c103_11, c104_14, c106_17, c9_12, c21_10, c22_8, c31_15, c40_11, c61_13, c63_10, c65_11, c74_14, c75_7, c81_9, c82_11, c86_10, c87_12, c91_12, c92_13, c96_10, c97_12, c5_1, c1_2


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

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

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

(52)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(2(z0)) -> 2(encArg(z0))
   encArg(cons_0(z0)) -> 0(encArg(z0))
   encArg(cons_1(z0)) -> 1(encArg(z0))
   0(z0) -> c_0(z0)
   0(c_0(c_1(c_0(2(2(c_1(2(c_0(c_0(c_1(c_1(2(2(2(c_1(c_1(2(c_1(c_1(z0)))))))))))))))))))) -> 0(2(0(2(2(0(0(1(2(0(2(0(0(1(1(0(0(2(1(1(z0))))))))))))))))))))
   0(c_1(c_0(c_1(2(c_1(c_1(c_1(c_0(c_0(c_1(c_1(2(2(2(c_0(2(c_0(c_1(2(z0)))))))))))))))))))) -> 0(2(1(1(2(1(0(2(0(1(1(0(2(0(1(0(2(2(0(2(z0))))))))))))))))))))
   0(2(c_1(c_1(c_1(c_0(2(c_1(c_1(c_0(c_1(c_0(2(2(c_0(c_0(2(c_0(2(c_1(z0)))))))))))))))))))) -> 0(1(0(1(2(2(2(1(1(0(2(2(1(2(0(0(0(0(2(1(z0))))))))))))))))))))
   0(c_1(c_0(2(2(c_1(c_1(c_0(c_1(c_0(2(2(c_1(c_0(2(c_0(c_1(c_0(c_1(c_1(z0)))))))))))))))))))) -> 0(1(2(0(0(2(2(0(0(0(0(2(1(2(1(0(1(2(0(2(z0))))))))))))))))))))
   0(2(c_1(2(c_0(c_1(c_1(c_1(2(c_0(c_1(c_1(2(c_1(2(c_0(2(c_0(2(c_0(z0)))))))))))))))))))) -> 0(1(2(1(1(0(1(1(2(1(2(0(1(0(1(2(2(0(2(2(z0))))))))))))))))))))
   0(c_0(c_1(c_0(c_0(c_1(c_1(2(c_1(c_1(2(2(c_1(c_1(2(2(c_1(c_1(c_0(2(z0)))))))))))))))))))) -> 0(1(1(0(0(2(0(0(2(0(2(1(1(1(1(1(0(2(0(2(z0))))))))))))))))))))
   0(c_1(c_1(c_0(c_1(c_0(2(c_1(c_1(2(2(c_0(2(c_0(2(c_0(2(2(c_0(c_1(z0)))))))))))))))))))) -> 0(2(0(2(1(0(0(1(2(2(1(2(2(1(2(2(1(2(2(0(z0))))))))))))))))))))
   0(c_1(c_0(c_1(c_1(c_1(c_1(2(c_0(2(2(2(2(2(2(c_1(c_0(2(c_0(c_1(z0)))))))))))))))))))) -> 0(0(0(2(2(1(0(0(1(2(1(0(2(2(1(0(0(2(2(1(z0))))))))))))))))))))
   0(c_0(2(2(c_0(c_0(c_1(c_0(2(2(c_1(c_1(2(2(c_1(c_0(2(2(c_0(c_1(z0)))))))))))))))))))) -> 0(2(0(2(2(1(0(0(2(2(1(2(1(1(0(0(2(0(2(1(z0))))))))))))))))))))
   0(c_0(2(2(c_1(c_1(c_1(c_0(c_1(c_0(c_1(c_0(c_1(2(2(2(c_1(2(c_0(c_0(z0)))))))))))))))))))) -> 0(1(0(2(0(2(2(1(0(1(0(2(1(2(1(0(1(1(1(2(z0))))))))))))))))))))
   0(c_1(c_1(c_0(c_0(2(c_0(2(c_1(c_1(c_1(2(c_1(2(c_1(c_0(c_0(c_1(c_1(c_1(z0)))))))))))))))))))) -> 0(1(0(0(2(2(0(0(2(2(0(2(0(0(1(2(1(0(1(2(z0))))))))))))))))))))
   0(c_1(c_1(c_0(2(c_1(2(c_1(c_1(c_0(c_1(c_1(2(c_1(c_0(c_1(c_0(c_1(c_1(c_1(z0)))))))))))))))))))) -> 0(1(1(1(2(1(2(2(0(1(1(0(2(2(0(0(2(1(0(2(z0))))))))))))))))))))
   0(2(c_1(c_1(c_1(2(2(c_0(c_0(c_0(2(c_1(c_0(c_1(2(2(c_1(c_0(2(c_0(z0)))))))))))))))))))) -> 0(1(0(1(0(0(0(1(0(2(1(1(0(0(2(1(2(0(2(1(z0))))))))))))))))))))
   0(c_0(c_0(2(c_1(2(2(c_0(c_1(c_1(c_0(c_0(c_1(c_1(2(c_1(c_0(2(2(c_1(z0)))))))))))))))))))) -> 0(2(0(1(1(2(0(1(2(1(2(1(0(2(2(0(2(0(1(0(z0))))))))))))))))))))
   0(c_0(2(c_0(2(c_1(c_1(2(c_1(c_1(c_1(c_1(c_1(c_0(c_1(c_1(c_1(2(2(c_1(z0)))))))))))))))))))) -> 0(2(0(0(2(1(1(2(2(0(2(0(1(2(2(2(1(1(1(2(z0))))))))))))))))))))
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   0(c_0(2(c_1(c_0(c_1(c_0(c_0(2(c_0(c_1(c_1(c_0(2(c_0(2(2(2(2(c_0(z0)))))))))))))))))))) -> 0(2(2(0(0(0(2(1(0(0(0(1(1(2(0(1(1(0(0(0(z0))))))))))))))))))))
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   0(c_0(c_0(c_1(2(c_0(2(2(c_1(c_1(c_0(c_1(c_0(c_1(2(c_0(c_1(c_1(c_1(c_1(z0)))))))))))))))))))) -> 0(1(2(0(1(2(1(0(1(0(1(0(2(0(1(1(1(1(0(2(z0))))))))))))))))))))
   0(c_0(c_1(2(c_0(c_1(2(c_0(c_1(c_1(c_1(c_0(2(2(c_1(c_0(2(c_1(c_1(2(z0)))))))))))))))))))) -> 0(1(2(2(0(2(2(2(1(0(1(2(2(1(0(0(1(1(1(2(z0))))))))))))))))))))
   0(c_0(c_1(2(2(c_1(c_1(c_0(2(2(2(c_0(c_1(c_1(c_1(c_1(c_0(c_1(2(c_1(z0)))))))))))))))))))) -> 0(1(2(2(0(1(1(1(2(0(2(0(0(1(2(0(2(1(2(0(z0))))))))))))))))))))
   0(c_1(c_1(2(c_0(2(c_0(2(2(c_1(c_1(2(c_0(c_1(2(2(c_0(c_1(c_0(c_0(z0)))))))))))))))))))) -> 0(1(2(0(0(0(2(1(2(0(1(2(2(2(2(0(1(1(0(1(z0))))))))))))))))))))
   0(2(c_1(c_1(2(c_0(2(2(2(c_0(c_1(2(c_0(2(c_0(2(2(c_0(c_0(c_1(z0)))))))))))))))))))) -> 0(0(2(1(2(0(0(0(2(0(1(2(2(2(1(0(1(1(1(0(z0))))))))))))))))))))
   0(c_1(c_0(c_1(c_0(c_1(c_1(c_0(c_0(c_0(c_1(c_0(2(c_1(c_1(2(c_0(c_1(c_0(c_1(z0)))))))))))))))))))) -> 0(0(2(1(1(0(0(2(0(2(1(0(1(1(0(2(2(0(1(2(z0))))))))))))))))))))
   0(c_0(c_1(2(2(c_0(c_1(c_1(2(c_0(c_0(2(2(c_1(c_0(2(c_1(2(c_1(c_0(z0)))))))))))))))))))) -> 0(2(2(0(2(0(2(1(0(2(0(0(2(2(1(0(0(0(2(0(z0))))))))))))))))))))
   0(c_0(c_0(2(2(c_1(c_1(2(2(c_0(c_0(2(c_1(2(c_0(c_1(c_1(c_0(2(2(z0)))))))))))))))))))) -> 0(2(2(2(1(0(0(2(1(2(1(2(1(2(1(1(1(2(0(2(z0))))))))))))))))))))
   0(c_1(2(c_1(c_0(c_1(2(2(c_1(c_1(c_0(c_0(c_1(c_1(2(2(c_1(c_0(c_1(c_1(z0)))))))))))))))))))) -> 0(2(2(2(0(2(0(2(0(1(2(1(2(2(2(1(0(0(1(0(z0))))))))))))))))))))
   0(2(2(c_1(c_1(2(2(c_1(c_0(2(c_1(2(c_1(c_1(2(2(2(c_0(2(c_0(z0)))))))))))))))))))) -> 0(2(1(2(2(2(1(0(0(1(0(0(0(1(2(1(1(2(2(1(z0))))))))))))))))))))
   0(c_1(c_1(c_1(2(2(c_1(2(c_1(c_1(c_1(c_0(c_0(c_1(c_1(c_1(2(c_1(c_1(c_0(z0)))))))))))))))))))) -> 0(0(1(0(2(0(1(1(1(2(0(2(1(2(2(0(2(1(2(1(z0))))))))))))))))))))
   0(c_0(2(c_0(c_1(c_1(2(c_0(2(c_1(c_0(2(2(c_1(c_1(c_0(c_1(2(c_0(c_1(z0)))))))))))))))))))) -> 0(1(2(0(2(0(1(0(1(2(1(0(0(2(2(1(0(1(0(1(z0))))))))))))))))))))
   0(c_1(c_1(2(2(2(2(c_1(c_0(2(c_0(c_0(c_1(2(2(c_1(2(2(2(2(z0)))))))))))))))))))) -> 0(1(0(0(2(0(0(1(2(1(2(0(1(2(2(1(0(2(0(2(z0))))))))))))))))))))
   0(2(c_0(c_1(2(c_1(c_1(c_1(c_1(2(c_0(2(c_1(2(c_0(c_1(2(2(c_0(c_1(z0)))))))))))))))))))) -> 0(1(1(1(1(2(1(0(0(1(1(0(2(1(0(0(2(0(0(1(z0))))))))))))))))))))
   0(c_1(c_0(c_1(c_1(2(c_1(c_0(c_0(c_0(2(2(2(c_1(2(c_1(2(c_1(c_0(2(z0)))))))))))))))))))) -> 0(1(0(0(2(2(1(2(1(0(1(0(0(0(2(0(0(2(1(2(z0))))))))))))))))))))
   0(c_0(c_1(c_0(2(c_1(2(2(2(2(c_0(c_1(2(c_0(c_1(c_1(2(2(c_0(2(z0)))))))))))))))))))) -> 0(0(2(1(1(0(0(2(2(2(0(1(2(2(0(1(2(2(0(2(z0))))))))))))))))))))
   0(c_1(c_1(c_0(c_1(2(c_1(2(c_0(2(2(c_1(c_0(c_0(2(c_0(c_1(c_0(c_1(c_1(z0)))))))))))))))))))) -> 0(0(0(1(2(0(2(2(2(0(1(0(1(2(1(1(1(0(2(0(z0))))))))))))))))))))
   1(z0) -> c_1(z0)
   1(2(2(c_0(2(c_0(2(c_1(2(c_1(2(c_1(c_0(c_0(c_1(c_0(c_0(2(c_0(c_1(z0)))))))))))))))))))) -> 1(0(1(2(0(1(0(0(1(0(0(0(2(1(0(0(1(0(0(2(z0))))))))))))))))))))
Tuples:
   ENCARG(2(z0)) -> c(ENCARG(z0))
   0'(c_0(c_1(c_0(2(2(c_1(2(c_0(c_0(c_1(c_1(2(2(2(c_1(c_1(2(c_1(c_1(z0)))))))))))))))))))) -> c7(0'(2(0(2(2(0(0(1(2(0(2(0(0(1(1(0(0(2(1(1(z0)))))))))))))))))))), 0'(2(2(0(0(1(2(0(2(0(0(1(1(0(0(2(1(1(z0)))))))))))))))))), 0'(0(1(2(0(2(0(0(1(1(0(0(2(1(1(z0))))))))))))))), 0'(1(2(0(2(0(0(1(1(0(0(2(1(1(z0)))))))))))))), 1'(2(0(2(0(0(1(1(0(0(2(1(1(z0))))))))))))), 0'(2(0(0(1(1(0(0(2(1(1(z0))))))))))), 0'(0(1(1(0(0(2(1(1(z0))))))))), 0'(1(1(0(0(2(1(1(z0)))))))), 1'(1(0(0(2(1(1(z0))))))), 1'(0(0(2(1(1(z0)))))), 0'(0(2(1(1(z0))))), 0'(2(1(1(z0)))), 1'(1(z0)), 1'(z0))
   0'(c_1(c_0(c_1(2(c_1(c_1(c_1(c_0(c_0(c_1(c_1(2(2(2(c_0(2(c_0(c_1(2(z0)))))))))))))))))))) -> c8(0'(2(1(1(2(1(0(2(0(1(1(0(2(0(1(0(2(2(0(2(z0)))))))))))))))))))), 1'(1(2(1(0(2(0(1(1(0(2(0(1(0(2(2(0(2(z0)))))))))))))))))), 1'(2(1(0(2(0(1(1(0(2(0(1(0(2(2(0(2(z0))))))))))))))))), 1'(0(2(0(1(1(0(2(0(1(0(2(2(0(2(z0))))))))))))))), 0'(2(0(1(1(0(2(0(1(0(2(2(0(2(z0)))))))))))))), 0'(1(1(0(2(0(1(0(2(2(0(2(z0)))))))))))), 1'(1(0(2(0(1(0(2(2(0(2(z0))))))))))), 1'(0(2(0(1(0(2(2(0(2(z0)))))))))), 0'(2(0(1(0(2(2(0(2(z0))))))))), 0'(1(0(2(2(0(2(z0))))))), 1'(0(2(2(0(2(z0)))))), 0'(2(2(0(2(z0))))), 0'(2(z0)))
   0'(c_1(c_0(2(2(c_1(c_1(c_0(c_1(c_0(2(2(c_1(c_0(2(c_0(c_1(c_0(c_1(c_1(z0)))))))))))))))))))) -> c10(0'(1(2(0(0(2(2(0(0(0(0(2(1(2(1(0(1(2(0(2(z0)))))))))))))))))))), 1'(2(0(0(2(2(0(0(0(0(2(1(2(1(0(1(2(0(2(z0))))))))))))))))))), 0'(0(2(2(0(0(0(0(2(1(2(1(0(1(2(0(2(z0))))))))))))))))), 0'(2(2(0(0(0(0(2(1(2(1(0(1(2(0(2(z0)))))))))))))))), 0'(0(0(0(2(1(2(1(0(1(2(0(2(z0))))))))))))), 0'(0(0(2(1(2(1(0(1(2(0(2(z0)))))))))))), 0'(0(2(1(2(1(0(1(2(0(2(z0))))))))))), 0'(2(1(2(1(0(1(2(0(2(z0)))))))))), 1'(2(1(0(1(2(0(2(z0)))))))), 1'(0(1(2(0(2(z0)))))), 0'(1(2(0(2(z0))))), 1'(2(0(2(z0)))), 0'(2(z0)))
   0'(2(c_1(2(c_0(c_1(c_1(c_1(2(c_0(c_1(c_1(2(c_1(2(c_0(2(c_0(2(c_0(z0)))))))))))))))))))) -> c11(0'(1(2(1(1(0(1(1(2(1(2(0(1(0(1(2(2(0(2(2(z0)))))))))))))))))))), 1'(2(1(1(0(1(1(2(1(2(0(1(0(1(2(2(0(2(2(z0))))))))))))))))))), 1'(1(0(1(1(2(1(2(0(1(0(1(2(2(0(2(2(z0))))))))))))))))), 1'(0(1(1(2(1(2(0(1(0(1(2(2(0(2(2(z0)))))))))))))))), 0'(1(1(2(1(2(0(1(0(1(2(2(0(2(2(z0))))))))))))))), 1'(1(2(1(2(0(1(0(1(2(2(0(2(2(z0)))))))))))))), 1'(2(1(2(0(1(0(1(2(2(0(2(2(z0))))))))))))), 1'(2(0(1(0(1(2(2(0(2(2(z0))))))))))), 0'(1(0(1(2(2(0(2(2(z0))))))))), 1'(0(1(2(2(0(2(2(z0)))))))), 0'(1(2(2(0(2(2(z0))))))), 1'(2(2(0(2(2(z0)))))), 0'(2(2(z0))))
   0'(c_0(c_1(c_0(c_0(c_1(c_1(2(c_1(c_1(2(2(c_1(c_1(2(2(c_1(c_1(c_0(2(z0)))))))))))))))))))) -> c12(0'(1(1(0(0(2(0(0(2(0(2(1(1(1(1(1(0(2(0(2(z0)))))))))))))))))))), 1'(1(0(0(2(0(0(2(0(2(1(1(1(1(1(0(2(0(2(z0))))))))))))))))))), 1'(0(0(2(0(0(2(0(2(1(1(1(1(1(0(2(0(2(z0)))))))))))))))))), 0'(0(2(0(0(2(0(2(1(1(1(1(1(0(2(0(2(z0))))))))))))))))), 0'(2(0(0(2(0(2(1(1(1(1(1(0(2(0(2(z0)))))))))))))))), 0'(0(2(0(2(1(1(1(1(1(0(2(0(2(z0)))))))))))))), 0'(2(0(2(1(1(1(1(1(0(2(0(2(z0))))))))))))), 0'(2(1(1(1(1(1(0(2(0(2(z0))))))))))), 1'(1(1(1(1(0(2(0(2(z0))))))))), 1'(1(1(1(0(2(0(2(z0)))))))), 1'(1(1(0(2(0(2(z0))))))), 1'(1(0(2(0(2(z0)))))), 1'(0(2(0(2(z0))))), 0'(2(0(2(z0)))), 0'(2(z0)))
   0'(c_1(c_1(c_0(c_1(c_0(2(c_1(c_1(2(2(c_0(2(c_0(2(c_0(2(2(c_0(c_1(z0)))))))))))))))))))) -> c13(0'(2(0(2(1(0(0(1(2(2(1(2(2(1(2(2(1(2(2(0(z0)))))))))))))))))))), 0'(2(1(0(0(1(2(2(1(2(2(1(2(2(1(2(2(0(z0)))))))))))))))))), 1'(0(0(1(2(2(1(2(2(1(2(2(1(2(2(0(z0)))))))))))))))), 0'(0(1(2(2(1(2(2(1(2(2(1(2(2(0(z0))))))))))))))), 0'(1(2(2(1(2(2(1(2(2(1(2(2(0(z0)))))))))))))), 1'(2(2(1(2(2(1(2(2(1(2(2(0(z0))))))))))))), 1'(2(2(1(2(2(1(2(2(0(z0)))))))))), 1'(2(2(1(2(2(0(z0))))))), 1'(2(2(0(z0)))), 0'(z0))
   0'(c_1(c_0(c_1(c_1(c_1(c_1(2(c_0(2(2(2(2(2(2(c_1(c_0(2(c_0(c_1(z0)))))))))))))))))))) -> c14(0'(0(0(2(2(1(0(0(1(2(1(0(2(2(1(0(0(2(2(1(z0)))))))))))))))))))), 0'(0(2(2(1(0(0(1(2(1(0(2(2(1(0(0(2(2(1(z0))))))))))))))))))), 0'(2(2(1(0(0(1(2(1(0(2(2(1(0(0(2(2(1(z0)))))))))))))))))), 1'(0(0(1(2(1(0(2(2(1(0(0(2(2(1(z0))))))))))))))), 0'(0(1(2(1(0(2(2(1(0(0(2(2(1(z0)))))))))))))), 0'(1(2(1(0(2(2(1(0(0(2(2(1(z0))))))))))))), 1'(2(1(0(2(2(1(0(0(2(2(1(z0)))))))))))), 1'(0(2(2(1(0(0(2(2(1(z0)))))))))), 0'(2(2(1(0(0(2(2(1(z0))))))))), 1'(0(0(2(2(1(z0)))))), 0'(0(2(2(1(z0))))), 0'(2(2(1(z0)))), 1'(z0))
   0'(c_0(2(2(c_0(c_0(c_1(c_0(2(2(c_1(c_1(2(2(c_1(c_0(2(2(c_0(c_1(z0)))))))))))))))))))) -> c15(0'(2(0(2(2(1(0(0(2(2(1(2(1(1(0(0(2(0(2(1(z0)))))))))))))))))))), 0'(2(2(1(0(0(2(2(1(2(1(1(0(0(2(0(2(1(z0)))))))))))))))))), 1'(0(0(2(2(1(2(1(1(0(0(2(0(2(1(z0))))))))))))))), 0'(0(2(2(1(2(1(1(0(0(2(0(2(1(z0)))))))))))))), 0'(2(2(1(2(1(1(0(0(2(0(2(1(z0))))))))))))), 1'(2(1(1(0(0(2(0(2(1(z0)))))))))), 1'(1(0(0(2(0(2(1(z0)))))))), 1'(0(0(2(0(2(1(z0))))))), 0'(0(2(0(2(1(z0)))))), 0'(2(0(2(1(z0))))), 0'(2(1(z0))), 1'(z0))
   0'(c_0(2(2(c_1(c_1(c_1(c_0(c_1(c_0(c_1(c_0(c_1(2(2(2(c_1(2(c_0(c_0(z0)))))))))))))))))))) -> c16(0'(1(0(2(0(2(2(1(0(1(0(2(1(2(1(0(1(1(1(2(z0)))))))))))))))))))), 1'(0(2(0(2(2(1(0(1(0(2(1(2(1(0(1(1(1(2(z0))))))))))))))))))), 0'(2(0(2(2(1(0(1(0(2(1(2(1(0(1(1(1(2(z0)))))))))))))))))), 0'(2(2(1(0(1(0(2(1(2(1(0(1(1(1(2(z0)))))))))))))))), 1'(0(1(0(2(1(2(1(0(1(1(1(2(z0))))))))))))), 0'(1(0(2(1(2(1(0(1(1(1(2(z0)))))))))))), 1'(0(2(1(2(1(0(1(1(1(2(z0))))))))))), 0'(2(1(2(1(0(1(1(1(2(z0)))))))))), 1'(2(1(0(1(1(1(2(z0)))))))), 1'(0(1(1(1(2(z0)))))), 0'(1(1(1(2(z0))))), 1'(1(1(2(z0)))), 1'(1(2(z0))), 1'(2(z0)))
   0'(c_1(c_1(c_0(c_0(2(c_0(2(c_1(c_1(c_1(2(c_1(2(c_1(c_0(c_0(c_1(c_1(c_1(z0)))))))))))))))))))) -> c17(0'(1(0(0(2(2(0(0(2(2(0(2(0(0(1(2(1(0(1(2(z0)))))))))))))))))))), 1'(0(0(2(2(0(0(2(2(0(2(0(0(1(2(1(0(1(2(z0))))))))))))))))))), 0'(0(2(2(0(0(2(2(0(2(0(0(1(2(1(0(1(2(z0)))))))))))))))))), 0'(2(2(0(0(2(2(0(2(0(0(1(2(1(0(1(2(z0))))))))))))))))), 0'(0(2(2(0(2(0(0(1(2(1(0(1(2(z0)))))))))))))), 0'(2(2(0(2(0(0(1(2(1(0(1(2(z0))))))))))))), 0'(2(0(0(1(2(1(0(1(2(z0)))))))))), 0'(0(1(2(1(0(1(2(z0)))))))), 0'(1(2(1(0(1(2(z0))))))), 1'(2(1(0(1(2(z0)))))), 1'(0(1(2(z0)))), 0'(1(2(z0))), 1'(2(z0)))
   0'(c_1(c_1(c_0(2(c_1(2(c_1(c_1(c_0(c_1(c_1(2(c_1(c_0(c_1(c_0(c_1(c_1(c_1(z0)))))))))))))))))))) -> c18(0'(1(1(1(2(1(2(2(0(1(1(0(2(2(0(0(2(1(0(2(z0)))))))))))))))))))), 1'(1(1(2(1(2(2(0(1(1(0(2(2(0(0(2(1(0(2(z0))))))))))))))))))), 1'(1(2(1(2(2(0(1(1(0(2(2(0(0(2(1(0(2(z0)))))))))))))))))), 1'(2(1(2(2(0(1(1(0(2(2(0(0(2(1(0(2(z0))))))))))))))))), 1'(2(2(0(1(1(0(2(2(0(0(2(1(0(2(z0))))))))))))))), 0'(1(1(0(2(2(0(0(2(1(0(2(z0)))))))))))), 1'(1(0(2(2(0(0(2(1(0(2(z0))))))))))), 1'(0(2(2(0(0(2(1(0(2(z0)))))))))), 0'(2(2(0(0(2(1(0(2(z0))))))))), 0'(0(2(1(0(2(z0)))))), 0'(2(1(0(2(z0))))), 1'(0(2(z0))), 0'(2(z0)))
   0'(2(c_1(c_1(c_1(2(2(c_0(c_0(c_0(2(c_1(c_0(c_1(2(2(c_1(c_0(2(c_0(z0)))))))))))))))))))) -> c19(0'(1(0(1(0(0(0(1(0(2(1(1(0(0(2(1(2(0(2(1(z0)))))))))))))))))))), 1'(0(1(0(0(0(1(0(2(1(1(0(0(2(1(2(0(2(1(z0))))))))))))))))))), 0'(1(0(0(0(1(0(2(1(1(0(0(2(1(2(0(2(1(z0)))))))))))))))))), 1'(0(0(0(1(0(2(1(1(0(0(2(1(2(0(2(1(z0))))))))))))))))), 0'(0(0(1(0(2(1(1(0(0(2(1(2(0(2(1(z0)))))))))))))))), 0'(0(1(0(2(1(1(0(0(2(1(2(0(2(1(z0))))))))))))))), 0'(1(0(2(1(1(0(0(2(1(2(0(2(1(z0)))))))))))))), 1'(0(2(1(1(0(0(2(1(2(0(2(1(z0))))))))))))), 0'(2(1(1(0(0(2(1(2(0(2(1(z0)))))))))))), 1'(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))))))), 1'(2(0(2(1(z0))))), 0'(2(1(z0))), 1'(z0))
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   0'(2(c_1(c_1(c_0(2(c_1(c_1(c_1(c_1(2(2(c_0(c_1(c_1(c_1(2(2(c_1(c_1(z0)))))))))))))))))))) -> c29(0'(0(2(0(0(1(0(2(2(1(0(1(1(0(0(2(0(2(2(1(z0)))))))))))))))))))), 0'(2(0(0(1(0(2(2(1(0(1(1(0(0(2(0(2(2(1(z0))))))))))))))))))), 0'(0(1(0(2(2(1(0(1(1(0(0(2(0(2(2(1(z0))))))))))))))))), 0'(1(0(2(2(1(0(1(1(0(0(2(0(2(2(1(z0)))))))))))))))), 1'(0(2(2(1(0(1(1(0(0(2(0(2(2(1(z0))))))))))))))), 0'(2(2(1(0(1(1(0(0(2(0(2(2(1(z0)))))))))))))), 1'(0(1(1(0(0(2(0(2(2(1(z0))))))))))), 0'(1(1(0(0(2(0(2(2(1(z0)))))))))), 1'(1(0(0(2(0(2(2(1(z0))))))))), 1'(0(0(2(0(2(2(1(z0)))))))), 0'(0(2(0(2(2(1(z0))))))), 0'(2(0(2(2(1(z0)))))), 0'(2(2(1(z0)))), 1'(z0))
   0'(c_0(2(2(2(c_0(c_1(c_0(c_1(c_1(c_1(c_0(c_1(c_0(c_0(c_0(c_1(c_1(2(c_0(z0)))))))))))))))))))) -> c30(0'(2(0(2(2(2(2(0(2(2(1(0(0(0(0(0(0(2(0(0(z0)))))))))))))))))))), 0'(2(2(2(2(0(2(2(1(0(0(0(0(0(0(2(0(0(z0)))))))))))))))))), 0'(2(2(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)))), 0'(0(z0)), 0'(z0))
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   0'(2(2(c_1(c_1(2(c_0(c_1(c_0(c_1(c_0(2(c_0(c_1(c_0(c_1(c_0(2(c_1(c_1(z0)))))))))))))))))))) -> c34(0'(1(1(0(0(1(1(0(0(2(2(1(1(2(2(0(0(0(2(0(z0)))))))))))))))))))), 1'(1(0(0(1(1(0(0(2(2(1(1(2(2(0(0(0(2(0(z0))))))))))))))))))), 1'(0(0(1(1(0(0(2(2(1(1(2(2(0(0(0(2(0(z0)))))))))))))))))), 0'(0(1(1(0(0(2(2(1(1(2(2(0(0(0(2(0(z0))))))))))))))))), 0'(1(1(0(0(2(2(1(1(2(2(0(0(0(2(0(z0)))))))))))))))), 1'(1(0(0(2(2(1(1(2(2(0(0(0(2(0(z0))))))))))))))), 1'(0(0(2(2(1(1(2(2(0(0(0(2(0(z0)))))))))))))), 0'(0(2(2(1(1(2(2(0(0(0(2(0(z0))))))))))))), 0'(2(2(1(1(2(2(0(0(0(2(0(z0)))))))))))), 1'(1(2(2(0(0(0(2(0(z0))))))))), 1'(2(2(0(0(0(2(0(z0)))))))), 0'(0(0(2(0(z0))))), 0'(0(2(0(z0)))), 0'(2(0(z0))), 0'(z0))
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   0'(c_1(2(c_0(c_0(2(c_1(c_1(c_0(2(c_1(c_0(c_1(c_1(c_1(c_0(c_1(c_1(c_0(c_0(z0)))))))))))))))))))) -> c84(0'(0(0(2(0(1(1(2(2(0(2(0(0(2(1(0(0(2(1(1(z0)))))))))))))))))))), 0'(0(2(0(1(1(2(2(0(2(0(0(2(1(0(0(2(1(1(z0))))))))))))))))))), 0'(2(0(1(1(2(2(0(2(0(0(2(1(0(0(2(1(1(z0)))))))))))))))))), 0'(1(1(2(2(0(2(0(0(2(1(0(0(2(1(1(z0)))))))))))))))), 1'(1(2(2(0(2(0(0(2(1(0(0(2(1(1(z0))))))))))))))), 1'(2(2(0(2(0(0(2(1(0(0(2(1(1(z0)))))))))))))), 0'(2(0(0(2(1(0(0(2(1(1(z0))))))))))), 0'(0(2(1(0(0(2(1(1(z0))))))))), 0'(2(1(0(0(2(1(1(z0)))))))), 1'(0(0(2(1(1(z0)))))), 0'(0(2(1(1(z0))))), 0'(2(1(1(z0)))), 1'(1(z0)), 1'(z0))
   0'(c_0(c_1(c_0(2(2(2(2(c_1(c_0(2(c_1(c_0(2(2(c_0(c_1(c_1(2(c_1(z0)))))))))))))))))))) -> c85(0'(0(1(0(0(0(0(2(2(2(2(0(0(0(1(0(0(2(1(1(z0)))))))))))))))))))), 0'(1(0(0(0(0(2(2(2(2(0(0(0(1(0(0(2(1(1(z0))))))))))))))))))), 1'(0(0(0(0(2(2(2(2(0(0(0(1(0(0(2(1(1(z0)))))))))))))))))), 0'(0(0(0(2(2(2(2(0(0(0(1(0(0(2(1(1(z0))))))))))))))))), 0'(0(0(2(2(2(2(0(0(0(1(0(0(2(1(1(z0)))))))))))))))), 0'(0(2(2(2(2(0(0(0(1(0(0(2(1(1(z0))))))))))))))), 0'(2(2(2(2(0(0(0(1(0(0(2(1(1(z0)))))))))))))), 0'(0(0(1(0(0(2(1(1(z0))))))))), 0'(0(1(0(0(2(1(1(z0)))))))), 0'(1(0(0(2(1(1(z0))))))), 1'(0(0(2(1(1(z0)))))), 0'(0(2(1(1(z0))))), 0'(2(1(1(z0)))), 1'(1(z0)), 1'(z0))
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   0'(c_0(c_1(2(c_0(c_1(2(c_0(c_1(c_1(c_1(c_0(2(2(c_1(c_0(2(c_1(c_1(2(z0)))))))))))))))))))) -> c89(0'(1(2(2(0(2(2(2(1(0(1(2(2(1(0(0(1(1(1(2(z0)))))))))))))))))))), 1'(2(2(0(2(2(2(1(0(1(2(2(1(0(0(1(1(1(2(z0))))))))))))))))))), 0'(2(2(2(1(0(1(2(2(1(0(0(1(1(1(2(z0)))))))))))))))), 1'(0(1(2(2(1(0(0(1(1(1(2(z0)))))))))))), 0'(1(2(2(1(0(0(1(1(1(2(z0))))))))))), 1'(2(2(1(0(0(1(1(1(2(z0)))))))))), 1'(0(0(1(1(1(2(z0))))))), 0'(0(1(1(1(2(z0)))))), 0'(1(1(1(2(z0))))), 1'(1(1(2(z0)))), 1'(1(2(z0))), 1'(2(z0)))
   0'(c_0(c_1(2(2(c_1(c_1(c_0(2(2(2(c_0(c_1(c_1(c_1(c_1(c_0(c_1(2(c_1(z0)))))))))))))))))))) -> c90(0'(1(2(2(0(1(1(1(2(0(2(0(0(1(2(0(2(1(2(0(z0)))))))))))))))))))), 1'(2(2(0(1(1(1(2(0(2(0(0(1(2(0(2(1(2(0(z0))))))))))))))))))), 0'(1(1(1(2(0(2(0(0(1(2(0(2(1(2(0(z0)))))))))))))))), 1'(1(1(2(0(2(0(0(1(2(0(2(1(2(0(z0))))))))))))))), 1'(1(2(0(2(0(0(1(2(0(2(1(2(0(z0)))))))))))))), 1'(2(0(2(0(0(1(2(0(2(1(2(0(z0))))))))))))), 0'(2(0(0(1(2(0(2(1(2(0(z0))))))))))), 0'(0(1(2(0(2(1(2(0(z0))))))))), 0'(1(2(0(2(1(2(0(z0)))))))), 1'(2(0(2(1(2(0(z0))))))), 0'(2(1(2(0(z0))))), 1'(2(0(z0))), 0'(z0))
   0'(c_1(c_0(c_1(c_0(c_1(c_1(c_0(c_0(c_0(c_1(c_0(2(c_1(c_1(2(c_0(c_1(c_0(c_1(z0)))))))))))))))))))) -> c93(0'(0(2(1(1(0(0(2(0(2(1(0(1(1(0(2(2(0(1(2(z0)))))))))))))))))))), 0'(2(1(1(0(0(2(0(2(1(0(1(1(0(2(2(0(1(2(z0))))))))))))))))))), 1'(1(0(0(2(0(2(1(0(1(1(0(2(2(0(1(2(z0))))))))))))))))), 1'(0(0(2(0(2(1(0(1(1(0(2(2(0(1(2(z0)))))))))))))))), 0'(0(2(0(2(1(0(1(1(0(2(2(0(1(2(z0))))))))))))))), 0'(2(0(2(1(0(1(1(0(2(2(0(1(2(z0)))))))))))))), 0'(2(1(0(1(1(0(2(2(0(1(2(z0)))))))))))), 1'(0(1(1(0(2(2(0(1(2(z0)))))))))), 0'(1(1(0(2(2(0(1(2(z0))))))))), 1'(1(0(2(2(0(1(2(z0)))))))), 1'(0(2(2(0(1(2(z0))))))), 0'(2(2(0(1(2(z0)))))), 0'(1(2(z0))), 1'(2(z0)))
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   0'(c_0(c_1(c_0(2(c_1(2(2(2(2(c_0(c_1(2(c_0(c_1(c_1(2(2(c_0(2(z0)))))))))))))))))))) -> c103(0'(0(2(1(1(0(0(2(2(2(0(1(2(2(0(1(2(2(0(2(z0)))))))))))))))))))), 0'(2(1(1(0(0(2(2(2(0(1(2(2(0(1(2(2(0(2(z0))))))))))))))))))), 1'(1(0(0(2(2(2(0(1(2(2(0(1(2(2(0(2(z0))))))))))))))))), 1'(0(0(2(2(2(0(1(2(2(0(1(2(2(0(2(z0)))))))))))))))), 0'(0(2(2(2(0(1(2(2(0(1(2(2(0(2(z0))))))))))))))), 0'(2(2(2(0(1(2(2(0(1(2(2(0(2(z0)))))))))))))), 0'(1(2(2(0(1(2(2(0(2(z0)))))))))), 1'(2(2(0(1(2(2(0(2(z0))))))))), 0'(1(2(2(0(2(z0)))))), 1'(2(2(0(2(z0))))), 0'(2(z0)))
   0'(c_1(c_1(c_0(c_1(2(c_1(2(c_0(2(2(c_1(c_0(c_0(2(c_0(c_1(c_0(c_1(c_1(z0)))))))))))))))))))) -> c104(0'(0(0(1(2(0(2(2(2(0(1(0(1(2(1(1(1(0(2(0(z0)))))))))))))))))))), 0'(0(1(2(0(2(2(2(0(1(0(1(2(1(1(1(0(2(0(z0))))))))))))))))))), 0'(1(2(0(2(2(2(0(1(0(1(2(1(1(1(0(2(0(z0)))))))))))))))))), 1'(2(0(2(2(2(0(1(0(1(2(1(1(1(0(2(0(z0))))))))))))))))), 0'(2(2(2(0(1(0(1(2(1(1(1(0(2(0(z0))))))))))))))), 0'(1(0(1(2(1(1(1(0(2(0(z0))))))))))), 1'(0(1(2(1(1(1(0(2(0(z0)))))))))), 0'(1(2(1(1(1(0(2(0(z0))))))))), 1'(2(1(1(1(0(2(0(z0)))))))), 1'(1(1(0(2(0(z0)))))), 1'(1(0(2(0(z0))))), 1'(0(2(0(z0)))), 0'(2(0(z0))), 0'(z0))
   1'(2(2(c_0(2(c_0(2(c_1(2(c_1(2(c_1(c_0(c_0(c_1(c_0(c_0(2(c_0(c_1(z0)))))))))))))))))))) -> c106(1'(0(1(2(0(1(0(0(1(0(0(0(2(1(0(0(1(0(0(2(z0)))))))))))))))))))), 0'(1(2(0(1(0(0(1(0(0(0(2(1(0(0(1(0(0(2(z0))))))))))))))))))), 1'(2(0(1(0(0(1(0(0(0(2(1(0(0(1(0(0(2(z0)))))))))))))))))), 0'(1(0(0(1(0(0(0(2(1(0(0(1(0(0(2(z0)))))))))))))))), 1'(0(0(1(0(0(0(2(1(0(0(1(0(0(2(z0))))))))))))))), 0'(0(1(0(0(0(2(1(0(0(1(0(0(2(z0)))))))))))))), 0'(1(0(0(0(2(1(0(0(1(0(0(2(z0))))))))))))), 1'(0(0(0(2(1(0(0(1(0(0(2(z0)))))))))))), 0'(0(0(2(1(0(0(1(0(0(2(z0))))))))))), 0'(0(2(1(0(0(1(0(0(2(z0)))))))))), 0'(2(1(0(0(1(0(0(2(z0))))))))), 1'(0(0(1(0(0(2(z0))))))), 0'(0(1(0(0(2(z0)))))), 0'(1(0(0(2(z0))))), 1'(0(0(2(z0)))), 0'(0(2(z0))), 0'(2(z0)))
   0'(2(c_1(c_1(c_1(c_0(2(c_1(c_1(c_0(c_1(c_0(2(2(c_0(c_0(2(c_0(2(c_1(z0)))))))))))))))))))) -> c9(0'(1(0(1(2(2(2(1(1(0(2(2(1(2(0(0(0(0(2(1(z0)))))))))))))))))))), 1'(0(1(2(2(2(1(1(0(2(2(1(2(0(0(0(0(2(1(z0))))))))))))))))))), 0'(1(2(2(2(1(1(0(2(2(1(2(0(0(0(0(2(1(z0)))))))))))))))))), 1'(1(0(2(2(1(2(0(0(0(0(2(1(z0))))))))))))), 1'(0(2(2(1(2(0(0(0(0(2(1(z0)))))))))))), 0'(2(2(1(2(0(0(0(0(2(1(z0))))))))))), 1'(2(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))), 1'(z0))
   0'(c_0(2(c_0(2(c_1(c_1(2(c_1(c_1(c_1(c_1(c_1(c_0(c_1(c_1(c_1(2(2(c_1(z0)))))))))))))))))))) -> c21(0'(2(0(0(2(1(1(2(2(0(2(0(1(2(2(2(1(1(1(2(z0)))))))))))))))))))), 0'(0(2(1(1(2(2(0(2(0(1(2(2(2(1(1(1(2(z0)))))))))))))))))), 0'(2(1(1(2(2(0(2(0(1(2(2(2(1(1(1(2(z0))))))))))))))))), 1'(1(2(2(0(2(0(1(2(2(2(1(1(1(2(z0))))))))))))))), 1'(2(2(0(2(0(1(2(2(2(1(1(1(2(z0)))))))))))))), 0'(2(0(1(2(2(2(1(1(1(2(z0))))))))))), 0'(1(2(2(2(1(1(1(2(z0))))))))), 1'(1(1(2(z0)))), 1'(1(2(z0))), 1'(2(z0)))
   0'(2(c_0(c_1(c_1(c_1(c_0(c_1(2(2(c_0(2(c_0(2(c_0(2(c_1(2(c_0(c_1(z0)))))))))))))))))))) -> c22(0'(2(2(0(1(2(2(2(2(1(0(2(1(2(0(0(2(2(2(1(z0)))))))))))))))))))), 0'(1(2(2(2(2(1(0(2(1(2(0(0(2(2(2(1(z0))))))))))))))))), 1'(0(2(1(2(0(0(2(2(2(1(z0))))))))))), 0'(2(1(2(0(0(2(2(2(1(z0)))))))))), 1'(2(0(0(2(2(2(1(z0)))))))), 0'(0(2(2(2(1(z0)))))), 0'(2(2(2(1(z0))))), 1'(z0))
   0'(2(c_0(2(c_1(c_0(c_0(c_1(2(c_0(2(c_0(c_1(c_0(c_1(c_1(c_1(2(2(c_1(z0)))))))))))))))))))) -> c31(0'(0(1(0(1(0(1(1(2(1(0(0(0(1(2(2(2(0(1(0(z0)))))))))))))))))))), 0'(1(0(1(0(1(1(2(1(0(0(0(1(2(2(2(0(1(0(z0))))))))))))))))))), 1'(0(1(0(1(1(2(1(0(0(0(1(2(2(2(0(1(0(z0)))))))))))))))))), 0'(1(0(1(1(2(1(0(0(0(1(2(2(2(0(1(0(z0))))))))))))))))), 1'(0(1(1(2(1(0(0(0(1(2(2(2(0(1(0(z0)))))))))))))))), 0'(1(1(2(1(0(0(0(1(2(2(2(0(1(0(z0))))))))))))))), 1'(1(2(1(0(0(0(1(2(2(2(0(1(0(z0)))))))))))))), 1'(2(1(0(0(0(1(2(2(2(0(1(0(z0))))))))))))), 1'(0(0(0(1(2(2(2(0(1(0(z0))))))))))), 0'(0(0(1(2(2(2(0(1(0(z0)))))))))), 0'(0(1(2(2(2(0(1(0(z0))))))))), 0'(1(2(2(2(0(1(0(z0)))))))), 0'(1(0(z0))), 1'(0(z0)), 0'(z0))
   0'(c_1(c_1(2(c_0(c_1(c_0(c_0(c_1(2(c_0(2(c_1(c_0(c_0(c_0(c_0(2(c_0(c_1(z0)))))))))))))))))))) -> c40(0'(0(2(1(2(2(2(1(2(1(0(0(0(2(2(1(0(1(2(0(z0)))))))))))))))))))), 0'(2(1(2(2(2(1(2(1(0(0(0(2(2(1(0(1(2(0(z0))))))))))))))))))), 1'(2(1(0(0(0(2(2(1(0(1(2(0(z0))))))))))))), 1'(0(0(0(2(2(1(0(1(2(0(z0))))))))))), 0'(0(0(2(2(1(0(1(2(0(z0)))))))))), 0'(0(2(2(1(0(1(2(0(z0))))))))), 0'(2(2(1(0(1(2(0(z0)))))))), 1'(0(1(2(0(z0))))), 0'(1(2(0(z0)))), 1'(2(0(z0))), 0'(z0))
   0'(c_1(c_0(2(2(2(c_1(2(c_1(c_1(c_1(2(c_1(c_0(2(c_1(c_1(c_1(c_0(c_1(z0)))))))))))))))))))) -> c61(0'(0(1(2(2(2(1(0(0(1(1(2(1(1(2(0(0(1(2(0(z0)))))))))))))))))))), 0'(1(2(2(2(1(0(0(1(1(2(1(1(2(0(0(1(2(0(z0))))))))))))))))))), 1'(0(0(1(1(2(1(1(2(0(0(1(2(0(z0)))))))))))))), 0'(0(1(1(2(1(1(2(0(0(1(2(0(z0))))))))))))), 0'(1(1(2(1(1(2(0(0(1(2(0(z0)))))))))))), 1'(1(2(1(1(2(0(0(1(2(0(z0))))))))))), 1'(2(1(1(2(0(0(1(2(0(z0)))))))))), 1'(1(2(0(0(1(2(0(z0)))))))), 1'(2(0(0(1(2(0(z0))))))), 0'(0(1(2(0(z0))))), 0'(1(2(0(z0)))), 1'(2(0(z0))), 0'(z0))
   0'(c_1(c_1(c_0(2(c_1(c_1(c_0(c_0(c_1(c_1(c_1(2(2(2(c_0(2(c_0(c_0(2(z0)))))))))))))))))))) -> c63(0'(1(2(1(0(2(1(0(1(2(2(2(0(0(2(0(2(2(1(2(z0)))))))))))))))))))), 1'(2(1(0(2(1(0(1(2(2(2(0(0(2(0(2(2(1(2(z0))))))))))))))))))), 1'(0(2(1(0(1(2(2(2(0(0(2(0(2(2(1(2(z0))))))))))))))))), 0'(2(1(0(1(2(2(2(0(0(2(0(2(2(1(2(z0)))))))))))))))), 1'(0(1(2(2(2(0(0(2(0(2(2(1(2(z0)))))))))))))), 0'(1(2(2(2(0(0(2(0(2(2(1(2(z0))))))))))))), 0'(0(2(0(2(2(1(2(z0)))))))), 0'(2(0(2(2(1(2(z0))))))), 0'(2(2(1(2(z0))))), 1'(2(z0)))
   0'(c_1(c_1(c_1(c_1(2(c_0(c_0(c_0(2(2(2(2(c_1(c_0(2(2(2(c_0(c_1(z0)))))))))))))))))))) -> c65(0'(2(0(0(0(1(2(0(1(2(2(2(1(2(1(1(1(2(1(2(z0)))))))))))))))))))), 0'(0(0(1(2(0(1(2(2(2(1(2(1(1(1(2(1(2(z0)))))))))))))))))), 0'(0(1(2(0(1(2(2(2(1(2(1(1(1(2(1(2(z0))))))))))))))))), 0'(1(2(0(1(2(2(2(1(2(1(1(1(2(1(2(z0)))))))))))))))), 1'(2(0(1(2(2(2(1(2(1(1(1(2(1(2(z0))))))))))))))), 0'(1(2(2(2(1(2(1(1(1(2(1(2(z0))))))))))))), 1'(2(1(1(1(2(1(2(z0)))))))), 1'(1(1(2(1(2(z0)))))), 1'(1(2(1(2(z0))))), 1'(2(1(2(z0)))), 1'(2(z0)))
   0'(2(c_1(c_1(c_1(c_0(c_0(c_1(2(c_1(2(c_1(c_1(2(c_0(2(c_1(c_0(c_1(2(z0)))))))))))))))))))) -> c74(0'(1(0(1(0(2(0(0(0(1(1(1(2(0(0(0(1(2(2(2(z0)))))))))))))))))))), 1'(0(1(0(2(0(0(0(1(1(1(2(0(0(0(1(2(2(2(z0))))))))))))))))))), 0'(1(0(2(0(0(0(1(1(1(2(0(0(0(1(2(2(2(z0)))))))))))))))))), 1'(0(2(0(0(0(1(1(1(2(0(0(0(1(2(2(2(z0))))))))))))))))), 0'(2(0(0(0(1(1(1(2(0(0(0(1(2(2(2(z0)))))))))))))))), 0'(0(0(1(1(1(2(0(0(0(1(2(2(2(z0)))))))))))))), 0'(0(1(1(1(2(0(0(0(1(2(2(2(z0))))))))))))), 0'(1(1(1(2(0(0(0(1(2(2(2(z0)))))))))))), 1'(1(1(2(0(0(0(1(2(2(2(z0))))))))))), 1'(1(2(0(0(0(1(2(2(2(z0)))))))))), 1'(2(0(0(0(1(2(2(2(z0))))))))), 0'(0(0(1(2(2(2(z0))))))), 0'(0(1(2(2(2(z0)))))), 0'(1(2(2(2(z0))))))
   0'(2(2(c_1(c_1(c_1(c_1(c_0(c_0(c_1(c_0(c_1(c_0(2(2(c_1(c_1(2(2(c_1(z0)))))))))))))))))))) -> c75(0'(2(2(2(0(2(2(1(1(2(2(2(2(0(2(0(0(2(0(2(z0)))))))))))))))))))), 0'(2(2(1(1(2(2(2(2(0(2(0(0(2(0(2(z0)))))))))))))))), 1'(1(2(2(2(2(0(2(0(0(2(0(2(z0))))))))))))), 0'(2(0(0(2(0(2(z0))))))), 0'(0(2(0(2(z0))))), 0'(2(0(2(z0)))), 0'(2(z0)))
   0'(c_1(c_0(c_1(c_1(2(2(c_0(c_0(c_0(2(2(2(c_1(c_1(c_0(c_1(c_1(c_1(c_1(z0)))))))))))))))))))) -> c81(0'(0(2(2(2(2(2(2(1(1(0(1(2(2(0(1(2(0(2(1(z0)))))))))))))))))))), 1'(1(0(1(2(2(0(1(2(0(2(1(z0)))))))))))), 1'(0(1(2(2(0(1(2(0(2(1(z0))))))))))), 0'(1(2(2(0(1(2(0(2(1(z0)))))))))), 1'(2(2(0(1(2(0(2(1(z0))))))))), 0'(1(2(0(2(1(z0)))))), 1'(2(0(2(1(z0))))), 0'(2(1(z0))), 1'(z0))
   0'(c_0(c_1(c_1(c_0(2(2(c_1(c_1(c_1(c_1(c_1(2(c_0(2(c_1(c_0(2(2(c_1(z0)))))))))))))))))))) -> c82(0'(2(0(1(1(0(1(2(2(2(0(0(2(2(2(0(2(0(0(0(z0)))))))))))))))))))), 0'(1(1(0(1(2(2(2(0(0(2(2(2(0(2(0(0(0(z0)))))))))))))))))), 1'(1(0(1(2(2(2(0(0(2(2(2(0(2(0(0(0(z0))))))))))))))))), 1'(0(1(2(2(2(0(0(2(2(2(0(2(0(0(0(z0)))))))))))))))), 0'(1(2(2(2(0(0(2(2(2(0(2(0(0(0(z0))))))))))))))), 0'(0(2(2(2(0(2(0(0(0(z0)))))))))), 0'(2(2(2(0(2(0(0(0(z0))))))))), 0'(2(0(0(0(z0))))), 0'(0(0(z0))), 0'(0(z0)), 0'(z0))
   0'(c_1(c_1(c_0(c_1(c_1(c_1(c_1(2(c_0(2(c_0(2(2(2(c_0(c_0(c_0(2(c_1(z0)))))))))))))))))))) -> c86(0'(1(0(1(2(2(2(0(2(2(1(1(2(2(2(0(0(0(1(0(z0)))))))))))))))))))), 1'(0(1(2(2(2(0(2(2(1(1(2(2(2(0(0(0(1(0(z0))))))))))))))))))), 0'(1(2(2(2(0(2(2(1(1(2(2(2(0(0(0(1(0(z0)))))))))))))))))), 0'(2(2(1(1(2(2(2(0(0(0(1(0(z0))))))))))))), 1'(1(2(2(2(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_1(c_0(c_1(2(2(2(c_1(c_1(2(c_1(2(c_1(c_0(2(c_0(c_1(2(c_0(z0)))))))))))))))))))) -> c87(0'(2(0(1(1(2(2(2(1(0(0(2(1(0(0(0(0(2(0(2(z0)))))))))))))))))))), 0'(1(1(2(2(2(1(0(0(2(1(0(0(0(0(2(0(2(z0)))))))))))))))))), 1'(1(2(2(2(1(0(0(2(1(0(0(0(0(2(0(2(z0))))))))))))))))), 1'(0(0(2(1(0(0(0(0(2(0(2(z0)))))))))))), 0'(0(2(1(0(0(0(0(2(0(2(z0))))))))))), 0'(2(1(0(0(0(0(2(0(2(z0)))))))))), 1'(0(0(0(0(2(0(2(z0)))))))), 0'(0(0(0(2(0(2(z0))))))), 0'(0(0(2(0(2(z0)))))), 0'(0(2(0(2(z0))))), 0'(2(0(2(z0)))), 0'(2(z0)))
   0'(c_1(c_1(2(c_0(2(c_0(2(2(c_1(c_1(2(c_0(c_1(2(2(c_0(c_1(c_0(c_0(z0)))))))))))))))))))) -> c91(0'(1(2(0(0(0(2(1(2(0(1(2(2(2(2(0(1(1(0(1(z0)))))))))))))))))))), 1'(2(0(0(0(2(1(2(0(1(2(2(2(2(0(1(1(0(1(z0))))))))))))))))))), 0'(0(0(2(1(2(0(1(2(2(2(2(0(1(1(0(1(z0))))))))))))))))), 0'(0(2(1(2(0(1(2(2(2(2(0(1(1(0(1(z0)))))))))))))))), 0'(2(1(2(0(1(2(2(2(2(0(1(1(0(1(z0))))))))))))))), 1'(2(0(1(2(2(2(2(0(1(1(0(1(z0))))))))))))), 0'(1(2(2(2(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))
   0'(2(c_1(c_1(2(c_0(2(2(2(c_0(c_1(2(c_0(2(c_0(2(2(c_0(c_0(c_1(z0)))))))))))))))))))) -> c92(0'(0(2(1(2(0(0(0(2(0(1(2(2(2(1(0(1(1(1(0(z0)))))))))))))))))))), 0'(2(1(2(0(0(0(2(0(1(2(2(2(1(0(1(1(1(0(z0))))))))))))))))))), 1'(2(0(0(0(2(0(1(2(2(2(1(0(1(1(1(0(z0))))))))))))))))), 0'(0(0(2(0(1(2(2(2(1(0(1(1(1(0(z0))))))))))))))), 0'(0(2(0(1(2(2(2(1(0(1(1(1(0(z0)))))))))))))), 0'(2(0(1(2(2(2(1(0(1(1(1(0(z0))))))))))))), 0'(1(2(2(2(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))
   0'(c_1(2(c_1(c_0(c_1(2(2(c_1(c_1(c_0(c_0(c_1(c_1(2(2(c_1(c_0(c_1(c_1(z0)))))))))))))))))))) -> c96(0'(2(2(2(0(2(0(2(0(1(2(1(2(2(2(1(0(0(1(0(z0)))))))))))))))))))), 0'(2(0(2(0(1(2(1(2(2(2(1(0(0(1(0(z0)))))))))))))))), 0'(2(0(1(2(1(2(2(2(1(0(0(1(0(z0)))))))))))))), 0'(1(2(1(2(2(2(1(0(0(1(0(z0)))))))))))), 1'(2(1(2(2(2(1(0(0(1(0(z0))))))))))), 1'(0(0(1(0(z0))))), 0'(0(1(0(z0)))), 0'(1(0(z0))), 1'(0(z0)), 0'(z0))
   0'(2(2(c_1(c_1(2(2(c_1(c_0(2(c_1(2(c_1(c_1(2(2(2(c_0(2(c_0(z0)))))))))))))))))))) -> c97(0'(2(1(2(2(2(1(0(0(1(0(0(0(1(2(1(1(2(2(1(z0)))))))))))))))))))), 1'(0(0(1(0(0(0(1(2(1(1(2(2(1(z0)))))))))))))), 0'(0(1(0(0(0(1(2(1(1(2(2(1(z0))))))))))))), 0'(1(0(0(0(1(2(1(1(2(2(1(z0)))))))))))), 1'(0(0(0(1(2(1(1(2(2(1(z0))))))))))), 0'(0(0(1(2(1(1(2(2(1(z0)))))))))), 0'(0(1(2(1(1(2(2(1(z0))))))))), 0'(1(2(1(1(2(2(1(z0)))))))), 1'(2(1(1(2(2(1(z0))))))), 1'(1(2(2(1(z0))))), 1'(2(2(1(z0)))), 1'(z0))
   ENCODE_0(z0) -> c5(0'(encArg(z0)))
   ENCODE_1(z0) -> c5(1'(encArg(z0)))
   ENCARG(cons_0(2(z0))) -> c1(0'(2(encArg(z0))), ENCARG(2(z0)))
   ENCARG(cons_0(cons_0(z0))) -> c1(0'(0(encArg(z0))), ENCARG(cons_0(z0)))
   ENCARG(cons_0(cons_1(z0))) -> c1(0'(1(encArg(z0))), ENCARG(cons_1(z0)))
   ENCARG(cons_1(2(z0))) -> c2(1'(2(encArg(z0))), ENCARG(2(z0)))
   ENCARG(cons_1(cons_0(z0))) -> c2(1'(0(encArg(z0))), ENCARG(cons_0(z0)))
   ENCARG(cons_1(cons_1(z0))) -> c2(1'(1(encArg(z0))), ENCARG(cons_1(z0)))
S tuples:
   0'(c_0(c_1(c_0(2(2(c_1(2(c_0(c_0(c_1(c_1(2(2(2(c_1(c_1(2(c_1(c_1(z0)))))))))))))))))))) -> c7(0'(2(0(2(2(0(0(1(2(0(2(0(0(1(1(0(0(2(1(1(z0)))))))))))))))))))), 0'(2(2(0(0(1(2(0(2(0(0(1(1(0(0(2(1(1(z0)))))))))))))))))), 0'(0(1(2(0(2(0(0(1(1(0(0(2(1(1(z0))))))))))))))), 0'(1(2(0(2(0(0(1(1(0(0(2(1(1(z0)))))))))))))), 1'(2(0(2(0(0(1(1(0(0(2(1(1(z0))))))))))))), 0'(2(0(0(1(1(0(0(2(1(1(z0))))))))))), 0'(0(1(1(0(0(2(1(1(z0))))))))), 0'(1(1(0(0(2(1(1(z0)))))))), 1'(1(0(0(2(1(1(z0))))))), 1'(0(0(2(1(1(z0)))))), 0'(0(2(1(1(z0))))), 0'(2(1(1(z0)))), 1'(1(z0)), 1'(z0))
   0'(c_1(c_0(c_1(2(c_1(c_1(c_1(c_0(c_0(c_1(c_1(2(2(2(c_0(2(c_0(c_1(2(z0)))))))))))))))))))) -> c8(0'(2(1(1(2(1(0(2(0(1(1(0(2(0(1(0(2(2(0(2(z0)))))))))))))))))))), 1'(1(2(1(0(2(0(1(1(0(2(0(1(0(2(2(0(2(z0)))))))))))))))))), 1'(2(1(0(2(0(1(1(0(2(0(1(0(2(2(0(2(z0))))))))))))))))), 1'(0(2(0(1(1(0(2(0(1(0(2(2(0(2(z0))))))))))))))), 0'(2(0(1(1(0(2(0(1(0(2(2(0(2(z0)))))))))))))), 0'(1(1(0(2(0(1(0(2(2(0(2(z0)))))))))))), 1'(1(0(2(0(1(0(2(2(0(2(z0))))))))))), 1'(0(2(0(1(0(2(2(0(2(z0)))))))))), 0'(2(0(1(0(2(2(0(2(z0))))))))), 0'(1(0(2(2(0(2(z0))))))), 1'(0(2(2(0(2(z0)))))), 0'(2(2(0(2(z0))))), 0'(2(z0)))
   0'(c_1(c_0(2(2(c_1(c_1(c_0(c_1(c_0(2(2(c_1(c_0(2(c_0(c_1(c_0(c_1(c_1(z0)))))))))))))))))))) -> c10(0'(1(2(0(0(2(2(0(0(0(0(2(1(2(1(0(1(2(0(2(z0)))))))))))))))))))), 1'(2(0(0(2(2(0(0(0(0(2(1(2(1(0(1(2(0(2(z0))))))))))))))))))), 0'(0(2(2(0(0(0(0(2(1(2(1(0(1(2(0(2(z0))))))))))))))))), 0'(2(2(0(0(0(0(2(1(2(1(0(1(2(0(2(z0)))))))))))))))), 0'(0(0(0(2(1(2(1(0(1(2(0(2(z0))))))))))))), 0'(0(0(2(1(2(1(0(1(2(0(2(z0)))))))))))), 0'(0(2(1(2(1(0(1(2(0(2(z0))))))))))), 0'(2(1(2(1(0(1(2(0(2(z0)))))))))), 1'(2(1(0(1(2(0(2(z0)))))))), 1'(0(1(2(0(2(z0)))))), 0'(1(2(0(2(z0))))), 1'(2(0(2(z0)))), 0'(2(z0)))
   0'(2(c_1(2(c_0(c_1(c_1(c_1(2(c_0(c_1(c_1(2(c_1(2(c_0(2(c_0(2(c_0(z0)))))))))))))))))))) -> c11(0'(1(2(1(1(0(1(1(2(1(2(0(1(0(1(2(2(0(2(2(z0)))))))))))))))))))), 1'(2(1(1(0(1(1(2(1(2(0(1(0(1(2(2(0(2(2(z0))))))))))))))))))), 1'(1(0(1(1(2(1(2(0(1(0(1(2(2(0(2(2(z0))))))))))))))))), 1'(0(1(1(2(1(2(0(1(0(1(2(2(0(2(2(z0)))))))))))))))), 0'(1(1(2(1(2(0(1(0(1(2(2(0(2(2(z0))))))))))))))), 1'(1(2(1(2(0(1(0(1(2(2(0(2(2(z0)))))))))))))), 1'(2(1(2(0(1(0(1(2(2(0(2(2(z0))))))))))))), 1'(2(0(1(0(1(2(2(0(2(2(z0))))))))))), 0'(1(0(1(2(2(0(2(2(z0))))))))), 1'(0(1(2(2(0(2(2(z0)))))))), 0'(1(2(2(0(2(2(z0))))))), 1'(2(2(0(2(2(z0)))))), 0'(2(2(z0))))
   0'(c_0(c_1(c_0(c_0(c_1(c_1(2(c_1(c_1(2(2(c_1(c_1(2(2(c_1(c_1(c_0(2(z0)))))))))))))))))))) -> c12(0'(1(1(0(0(2(0(0(2(0(2(1(1(1(1(1(0(2(0(2(z0)))))))))))))))))))), 1'(1(0(0(2(0(0(2(0(2(1(1(1(1(1(0(2(0(2(z0))))))))))))))))))), 1'(0(0(2(0(0(2(0(2(1(1(1(1(1(0(2(0(2(z0)))))))))))))))))), 0'(0(2(0(0(2(0(2(1(1(1(1(1(0(2(0(2(z0))))))))))))))))), 0'(2(0(0(2(0(2(1(1(1(1(1(0(2(0(2(z0)))))))))))))))), 0'(0(2(0(2(1(1(1(1(1(0(2(0(2(z0)))))))))))))), 0'(2(0(2(1(1(1(1(1(0(2(0(2(z0))))))))))))), 0'(2(1(1(1(1(1(0(2(0(2(z0))))))))))), 1'(1(1(1(1(0(2(0(2(z0))))))))), 1'(1(1(1(0(2(0(2(z0)))))))), 1'(1(1(0(2(0(2(z0))))))), 1'(1(0(2(0(2(z0)))))), 1'(0(2(0(2(z0))))), 0'(2(0(2(z0)))), 0'(2(z0)))
   0'(c_1(c_1(c_0(c_1(c_0(2(c_1(c_1(2(2(c_0(2(c_0(2(c_0(2(2(c_0(c_1(z0)))))))))))))))))))) -> c13(0'(2(0(2(1(0(0(1(2(2(1(2(2(1(2(2(1(2(2(0(z0)))))))))))))))))))), 0'(2(1(0(0(1(2(2(1(2(2(1(2(2(1(2(2(0(z0)))))))))))))))))), 1'(0(0(1(2(2(1(2(2(1(2(2(1(2(2(0(z0)))))))))))))))), 0'(0(1(2(2(1(2(2(1(2(2(1(2(2(0(z0))))))))))))))), 0'(1(2(2(1(2(2(1(2(2(1(2(2(0(z0)))))))))))))), 1'(2(2(1(2(2(1(2(2(1(2(2(0(z0))))))))))))), 1'(2(2(1(2(2(1(2(2(0(z0)))))))))), 1'(2(2(1(2(2(0(z0))))))), 1'(2(2(0(z0)))), 0'(z0))
   0'(c_1(c_0(c_1(c_1(c_1(c_1(2(c_0(2(2(2(2(2(2(c_1(c_0(2(c_0(c_1(z0)))))))))))))))))))) -> c14(0'(0(0(2(2(1(0(0(1(2(1(0(2(2(1(0(0(2(2(1(z0)))))))))))))))))))), 0'(0(2(2(1(0(0(1(2(1(0(2(2(1(0(0(2(2(1(z0))))))))))))))))))), 0'(2(2(1(0(0(1(2(1(0(2(2(1(0(0(2(2(1(z0)))))))))))))))))), 1'(0(0(1(2(1(0(2(2(1(0(0(2(2(1(z0))))))))))))))), 0'(0(1(2(1(0(2(2(1(0(0(2(2(1(z0)))))))))))))), 0'(1(2(1(0(2(2(1(0(0(2(2(1(z0))))))))))))), 1'(2(1(0(2(2(1(0(0(2(2(1(z0)))))))))))), 1'(0(2(2(1(0(0(2(2(1(z0)))))))))), 0'(2(2(1(0(0(2(2(1(z0))))))))), 1'(0(0(2(2(1(z0)))))), 0'(0(2(2(1(z0))))), 0'(2(2(1(z0)))), 1'(z0))
   0'(c_0(2(2(c_0(c_0(c_1(c_0(2(2(c_1(c_1(2(2(c_1(c_0(2(2(c_0(c_1(z0)))))))))))))))))))) -> c15(0'(2(0(2(2(1(0(0(2(2(1(2(1(1(0(0(2(0(2(1(z0)))))))))))))))))))), 0'(2(2(1(0(0(2(2(1(2(1(1(0(0(2(0(2(1(z0)))))))))))))))))), 1'(0(0(2(2(1(2(1(1(0(0(2(0(2(1(z0))))))))))))))), 0'(0(2(2(1(2(1(1(0(0(2(0(2(1(z0)))))))))))))), 0'(2(2(1(2(1(1(0(0(2(0(2(1(z0))))))))))))), 1'(2(1(1(0(0(2(0(2(1(z0)))))))))), 1'(1(0(0(2(0(2(1(z0)))))))), 1'(0(0(2(0(2(1(z0))))))), 0'(0(2(0(2(1(z0)))))), 0'(2(0(2(1(z0))))), 0'(2(1(z0))), 1'(z0))
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   0'(c_1(c_1(c_0(2(2(c_0(c_1(2(2(2(c_0(2(2(c_1(2(c_1(2(c_1(c_0(z0)))))))))))))))))))) -> c24(0'(0(2(0(0(2(0(2(1(0(2(2(2(0(0(0(2(1(1(2(z0)))))))))))))))))))), 0'(2(0(0(2(0(2(1(0(2(2(2(0(0(0(2(1(1(2(z0))))))))))))))))))), 0'(0(2(0(2(1(0(2(2(2(0(0(0(2(1(1(2(z0))))))))))))))))), 0'(2(0(2(1(0(2(2(2(0(0(0(2(1(1(2(z0)))))))))))))))), 0'(2(1(0(2(2(2(0(0(0(2(1(1(2(z0)))))))))))))), 1'(0(2(2(2(0(0(0(2(1(1(2(z0)))))))))))), 0'(2(2(2(0(0(0(2(1(1(2(z0))))))))))), 0'(0(0(2(1(1(2(z0))))))), 0'(0(2(1(1(2(z0)))))), 0'(2(1(1(2(z0))))), 1'(1(2(z0))), 1'(2(z0)))
   0'(c_1(c_0(2(c_0(c_0(c_1(2(2(2(c_1(2(2(2(c_0(c_0(c_0(c_1(2(2(z0)))))))))))))))))))) -> c25(0'(1(0(1(1(2(1(0(0(1(0(0(2(2(2(1(0(2(0(0(z0)))))))))))))))))))), 1'(0(1(1(2(1(0(0(1(0(0(2(2(2(1(0(2(0(0(z0))))))))))))))))))), 0'(1(1(2(1(0(0(1(0(0(2(2(2(1(0(2(0(0(z0)))))))))))))))))), 1'(1(2(1(0(0(1(0(0(2(2(2(1(0(2(0(0(z0))))))))))))))))), 1'(2(1(0(0(1(0(0(2(2(2(1(0(2(0(0(z0)))))))))))))))), 1'(0(0(1(0(0(2(2(2(1(0(2(0(0(z0)))))))))))))), 0'(0(1(0(0(2(2(2(1(0(2(0(0(z0))))))))))))), 0'(1(0(0(2(2(2(1(0(2(0(0(z0)))))))))))), 1'(0(0(2(2(2(1(0(2(0(0(z0))))))))))), 0'(0(2(2(2(1(0(2(0(0(z0)))))))))), 0'(2(2(2(1(0(2(0(0(z0))))))))), 1'(0(2(0(0(z0))))), 0'(2(0(0(z0)))), 0'(0(z0)), 0'(z0))
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   0'(c_0(2(c_0(c_0(c_0(2(c_1(2(2(2(c_1(c_1(c_1(c_0(2(c_1(c_1(c_0(c_0(z0)))))))))))))))))))) -> c27(0'(2(0(1(2(0(1(2(0(1(0(1(2(2(1(2(1(0(0(0(z0)))))))))))))))))))), 0'(1(2(0(1(2(0(1(0(1(2(2(1(2(1(0(0(0(z0)))))))))))))))))), 1'(2(0(1(2(0(1(0(1(2(2(1(2(1(0(0(0(z0))))))))))))))))), 0'(1(2(0(1(0(1(2(2(1(2(1(0(0(0(z0))))))))))))))), 1'(2(0(1(0(1(2(2(1(2(1(0(0(0(z0)))))))))))))), 0'(1(0(1(2(2(1(2(1(0(0(0(z0)))))))))))), 1'(0(1(2(2(1(2(1(0(0(0(z0))))))))))), 0'(1(2(2(1(2(1(0(0(0(z0)))))))))), 1'(2(2(1(2(1(0(0(0(z0))))))))), 1'(2(1(0(0(0(z0)))))), 1'(0(0(0(z0)))), 0'(0(0(z0))), 0'(0(z0)), 0'(z0))
   0'(c_1(c_0(2(c_1(c_1(c_1(c_0(2(2(c_1(c_1(c_1(c_1(2(c_0(2(c_1(c_0(c_0(z0)))))))))))))))))))) -> c28(0'(2(1(0(2(0(0(1(2(2(0(0(0(1(1(1(1(0(2(2(z0)))))))))))))))))))), 1'(0(2(0(0(1(2(2(0(0(0(1(1(1(1(0(2(2(z0)))))))))))))))))), 0'(2(0(0(1(2(2(0(0(0(1(1(1(1(0(2(2(z0))))))))))))))))), 0'(0(1(2(2(0(0(0(1(1(1(1(0(2(2(z0))))))))))))))), 0'(1(2(2(0(0(0(1(1(1(1(0(2(2(z0)))))))))))))), 1'(2(2(0(0(0(1(1(1(1(0(2(2(z0))))))))))))), 0'(0(0(1(1(1(1(0(2(2(z0)))))))))), 0'(0(1(1(1(1(0(2(2(z0))))))))), 0'(1(1(1(1(0(2(2(z0)))))))), 1'(1(1(1(0(2(2(z0))))))), 1'(1(1(0(2(2(z0)))))), 1'(1(0(2(2(z0))))), 1'(0(2(2(z0)))), 0'(2(2(z0))))
   0'(2(c_1(c_1(c_0(2(c_1(c_1(c_1(c_1(2(2(c_0(c_1(c_1(c_1(2(2(c_1(c_1(z0)))))))))))))))))))) -> c29(0'(0(2(0(0(1(0(2(2(1(0(1(1(0(0(2(0(2(2(1(z0)))))))))))))))))))), 0'(2(0(0(1(0(2(2(1(0(1(1(0(0(2(0(2(2(1(z0))))))))))))))))))), 0'(0(1(0(2(2(1(0(1(1(0(0(2(0(2(2(1(z0))))))))))))))))), 0'(1(0(2(2(1(0(1(1(0(0(2(0(2(2(1(z0)))))))))))))))), 1'(0(2(2(1(0(1(1(0(0(2(0(2(2(1(z0))))))))))))))), 0'(2(2(1(0(1(1(0(0(2(0(2(2(1(z0)))))))))))))), 1'(0(1(1(0(0(2(0(2(2(1(z0))))))))))), 0'(1(1(0(0(2(0(2(2(1(z0)))))))))), 1'(1(0(0(2(0(2(2(1(z0))))))))), 1'(0(0(2(0(2(2(1(z0)))))))), 0'(0(2(0(2(2(1(z0))))))), 0'(2(0(2(2(1(z0)))))), 0'(2(2(1(z0)))), 1'(z0))
   0'(c_0(2(2(2(c_0(c_1(c_0(c_1(c_1(c_1(c_0(c_1(c_0(c_0(c_0(c_1(c_1(2(c_0(z0)))))))))))))))))))) -> c30(0'(2(0(2(2(2(2(0(2(2(1(0(0(0(0(0(0(2(0(0(z0)))))))))))))))))))), 0'(2(2(2(2(0(2(2(1(0(0(0(0(0(0(2(0(0(z0)))))))))))))))))), 0'(2(2(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)))), 0'(0(z0)), 0'(z0))
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   0'(c_1(c_0(c_1(2(c_1(c_1(c_1(2(2(c_0(2(c_1(c_1(2(c_1(2(c_0(2(c_1(z0)))))))))))))))))))) -> c42(0'(2(1(2(0(0(2(1(2(2(1(2(1(2(0(2(0(0(2(1(z0)))))))))))))))))))), 1'(2(0(0(2(1(2(2(1(2(1(2(0(2(0(0(2(1(z0)))))))))))))))))), 0'(0(2(1(2(2(1(2(1(2(0(2(0(0(2(1(z0)))))))))))))))), 0'(2(1(2(2(1(2(1(2(0(2(0(0(2(1(z0))))))))))))))), 1'(2(2(1(2(1(2(0(2(0(0(2(1(z0))))))))))))), 1'(2(1(2(0(2(0(0(2(1(z0)))))))))), 1'(2(0(2(0(0(2(1(z0)))))))), 0'(2(0(0(2(1(z0)))))), 0'(0(2(1(z0)))), 0'(2(1(z0))), 1'(z0))
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   0'(c_1(2(c_0(c_0(c_1(2(c_0(2(c_0(c_0(c_1(c_0(2(c_0(c_0(2(c_1(2(c_0(z0)))))))))))))))))))) -> c44(0'(2(1(2(0(0(0(2(0(0(2(1(2(2(0(2(2(0(0(0(z0)))))))))))))))))))), 1'(2(0(0(0(2(0(0(2(1(2(2(0(2(2(0(0(0(z0)))))))))))))))))), 0'(0(0(2(0(0(2(1(2(2(0(2(2(0(0(0(z0)))))))))))))))), 0'(0(2(0(0(2(1(2(2(0(2(2(0(0(0(z0))))))))))))))), 0'(2(0(0(2(1(2(2(0(2(2(0(0(0(z0)))))))))))))), 0'(0(2(1(2(2(0(2(2(0(0(0(z0)))))))))))), 0'(2(1(2(2(0(2(2(0(0(0(z0))))))))))), 1'(2(2(0(2(2(0(0(0(z0))))))))), 0'(2(2(0(0(0(z0)))))), 0'(0(0(z0))), 0'(0(z0)), 0'(z0))
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   0'(2(2(c_0(2(c_0(c_1(c_1(2(2(2(c_0(2(2(c_0(2(c_0(c_1(2(c_0(z0)))))))))))))))))))) -> c47(0'(1(1(0(0(0(2(0(0(1(1(1(0(1(1(0(0(0(0(2(z0)))))))))))))))))))), 1'(1(0(0(0(2(0(0(1(1(1(0(1(1(0(0(0(0(2(z0))))))))))))))))))), 1'(0(0(0(2(0(0(1(1(1(0(1(1(0(0(0(0(2(z0)))))))))))))))))), 0'(0(0(2(0(0(1(1(1(0(1(1(0(0(0(0(2(z0))))))))))))))))), 0'(0(2(0(0(1(1(1(0(1(1(0(0(0(0(2(z0)))))))))))))))), 0'(2(0(0(1(1(1(0(1(1(0(0(0(0(2(z0))))))))))))))), 0'(0(1(1(1(0(1(1(0(0(0(0(2(z0))))))))))))), 0'(1(1(1(0(1(1(0(0(0(0(2(z0)))))))))))), 1'(1(1(0(1(1(0(0(0(0(2(z0))))))))))), 1'(1(0(1(1(0(0(0(0(2(z0)))))))))), 1'(0(1(1(0(0(0(0(2(z0))))))))), 0'(1(1(0(0(0(0(2(z0)))))))), 1'(1(0(0(0(0(2(z0))))))), 1'(0(0(0(0(2(z0)))))), 0'(0(0(0(2(z0))))), 0'(0(0(2(z0)))), 0'(0(2(z0))), 0'(2(z0)))
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   0'(c_0(c_1(c_0(2(c_0(2(c_1(c_1(c_1(c_0(c_0(c_0(2(2(c_1(2(c_1(c_1(2(z0)))))))))))))))))))) -> c58(0'(2(0(0(2(2(0(2(1(1(2(1(2(1(0(2(2(0(2(0(z0)))))))))))))))))))), 0'(0(2(2(0(2(1(1(2(1(2(1(0(2(2(0(2(0(z0)))))))))))))))))), 0'(2(2(0(2(1(1(2(1(2(1(0(2(2(0(2(0(z0))))))))))))))))), 0'(2(1(1(2(1(2(1(0(2(2(0(2(0(z0)))))))))))))), 1'(1(2(1(2(1(0(2(2(0(2(0(z0)))))))))))), 1'(2(1(2(1(0(2(2(0(2(0(z0))))))))))), 1'(2(1(0(2(2(0(2(0(z0))))))))), 1'(0(2(2(0(2(0(z0))))))), 0'(2(2(0(2(0(z0)))))), 0'(2(0(z0))), 0'(z0))
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   0'(2(c_0(2(c_0(2(c_0(2(c_1(c_1(c_0(2(c_1(c_1(c_1(c_1(2(c_0(2(c_0(z0)))))))))))))))))))) -> c60(0'(1(0(2(1(2(1(1(0(0(2(2(2(0(0(1(2(2(0(0(z0)))))))))))))))))))), 1'(0(2(1(2(1(1(0(0(2(2(2(0(0(1(2(2(0(0(z0))))))))))))))))))), 0'(2(1(2(1(1(0(0(2(2(2(0(0(1(2(2(0(0(z0)))))))))))))))))), 1'(2(1(1(0(0(2(2(2(0(0(1(2(2(0(0(z0)))))))))))))))), 1'(1(0(0(2(2(2(0(0(1(2(2(0(0(z0)))))))))))))), 1'(0(0(2(2(2(0(0(1(2(2(0(0(z0))))))))))))), 0'(0(2(2(2(0(0(1(2(2(0(0(z0)))))))))))), 0'(2(2(2(0(0(1(2(2(0(0(z0))))))))))), 0'(0(1(2(2(0(0(z0))))))), 0'(1(2(2(0(0(z0)))))), 1'(2(2(0(0(z0))))), 0'(0(z0)), 0'(z0))
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   0'(c_1(2(2(2(2(2(2(2(c_1(c_0(2(2(c_1(c_1(2(c_1(2(c_1(c_1(z0)))))))))))))))))))) -> c79(0'(2(1(0(2(1(0(1(2(0(0(0(1(2(0(0(0(0(0(1(z0)))))))))))))))))))), 1'(0(2(1(0(1(2(0(0(0(1(2(0(0(0(0(0(1(z0)))))))))))))))))), 0'(2(1(0(1(2(0(0(0(1(2(0(0(0(0(0(1(z0))))))))))))))))), 1'(0(1(2(0(0(0(1(2(0(0(0(0(0(1(z0))))))))))))))), 0'(1(2(0(0(0(1(2(0(0(0(0(0(1(z0)))))))))))))), 1'(2(0(0(0(1(2(0(0(0(0(0(1(z0))))))))))))), 0'(0(0(1(2(0(0(0(0(0(1(z0))))))))))), 0'(0(1(2(0(0(0(0(0(1(z0)))))))))), 0'(1(2(0(0(0(0(0(1(z0))))))))), 1'(2(0(0(0(0(0(1(z0)))))))), 0'(0(0(0(0(1(z0)))))), 0'(0(0(0(1(z0))))), 0'(0(0(1(z0)))), 0'(0(1(z0))), 0'(1(z0)), 1'(z0))
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   0'(2(c_1(c_1(2(c_1(2(2(2(c_0(c_0(c_1(c_0(2(c_1(c_1(c_1(2(2(c_0(z0)))))))))))))))))))) -> c83(0'(0(0(2(1(0(1(2(1(2(1(1(1(2(0(0(0(1(1(0(z0)))))))))))))))))))), 0'(0(2(1(0(1(2(1(2(1(1(1(2(0(0(0(1(1(0(z0))))))))))))))))))), 0'(2(1(0(1(2(1(2(1(1(1(2(0(0(0(1(1(0(z0)))))))))))))))))), 1'(0(1(2(1(2(1(1(1(2(0(0(0(1(1(0(z0)))))))))))))))), 0'(1(2(1(2(1(1(1(2(0(0(0(1(1(0(z0))))))))))))))), 1'(2(1(2(1(1(1(2(0(0(0(1(1(0(z0)))))))))))))), 1'(2(1(1(1(2(0(0(0(1(1(0(z0)))))))))))), 1'(1(1(2(0(0(0(1(1(0(z0)))))))))), 1'(1(2(0(0(0(1(1(0(z0))))))))), 1'(2(0(0(0(1(1(0(z0)))))))), 0'(0(0(1(1(0(z0)))))), 0'(0(1(1(0(z0))))), 0'(1(1(0(z0)))), 1'(1(0(z0))), 1'(0(z0)), 0'(z0))
   0'(c_1(2(c_0(c_0(2(c_1(c_1(c_0(2(c_1(c_0(c_1(c_1(c_1(c_0(c_1(c_1(c_0(c_0(z0)))))))))))))))))))) -> c84(0'(0(0(2(0(1(1(2(2(0(2(0(0(2(1(0(0(2(1(1(z0)))))))))))))))))))), 0'(0(2(0(1(1(2(2(0(2(0(0(2(1(0(0(2(1(1(z0))))))))))))))))))), 0'(2(0(1(1(2(2(0(2(0(0(2(1(0(0(2(1(1(z0)))))))))))))))))), 0'(1(1(2(2(0(2(0(0(2(1(0(0(2(1(1(z0)))))))))))))))), 1'(1(2(2(0(2(0(0(2(1(0(0(2(1(1(z0))))))))))))))), 1'(2(2(0(2(0(0(2(1(0(0(2(1(1(z0)))))))))))))), 0'(2(0(0(2(1(0(0(2(1(1(z0))))))))))), 0'(0(2(1(0(0(2(1(1(z0))))))))), 0'(2(1(0(0(2(1(1(z0)))))))), 1'(0(0(2(1(1(z0)))))), 0'(0(2(1(1(z0))))), 0'(2(1(1(z0)))), 1'(1(z0)), 1'(z0))
   0'(c_0(c_1(c_0(2(2(2(2(c_1(c_0(2(c_1(c_0(2(2(c_0(c_1(c_1(2(c_1(z0)))))))))))))))))))) -> c85(0'(0(1(0(0(0(0(2(2(2(2(0(0(0(1(0(0(2(1(1(z0)))))))))))))))))))), 0'(1(0(0(0(0(2(2(2(2(0(0(0(1(0(0(2(1(1(z0))))))))))))))))))), 1'(0(0(0(0(2(2(2(2(0(0(0(1(0(0(2(1(1(z0)))))))))))))))))), 0'(0(0(0(2(2(2(2(0(0(0(1(0(0(2(1(1(z0))))))))))))))))), 0'(0(0(2(2(2(2(0(0(0(1(0(0(2(1(1(z0)))))))))))))))), 0'(0(2(2(2(2(0(0(0(1(0(0(2(1(1(z0))))))))))))))), 0'(2(2(2(2(0(0(0(1(0(0(2(1(1(z0)))))))))))))), 0'(0(0(1(0(0(2(1(1(z0))))))))), 0'(0(1(0(0(2(1(1(z0)))))))), 0'(1(0(0(2(1(1(z0))))))), 1'(0(0(2(1(1(z0)))))), 0'(0(2(1(1(z0))))), 0'(2(1(1(z0)))), 1'(1(z0)), 1'(z0))
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   0'(c_1(c_0(c_1(c_1(2(c_1(c_0(c_0(c_0(2(2(2(c_1(2(c_1(2(c_1(c_0(2(z0)))))))))))))))))))) -> c102(0'(1(0(0(2(2(1(2(1(0(1(0(0(0(2(0(0(2(1(2(z0)))))))))))))))))))), 1'(0(0(2(2(1(2(1(0(1(0(0(0(2(0(0(2(1(2(z0))))))))))))))))))), 0'(0(2(2(1(2(1(0(1(0(0(0(2(0(0(2(1(2(z0)))))))))))))))))), 0'(2(2(1(2(1(0(1(0(0(0(2(0(0(2(1(2(z0))))))))))))))))), 1'(2(1(0(1(0(0(0(2(0(0(2(1(2(z0)))))))))))))), 1'(0(1(0(0(0(2(0(0(2(1(2(z0)))))))))))), 0'(1(0(0(0(2(0(0(2(1(2(z0))))))))))), 1'(0(0(0(2(0(0(2(1(2(z0)))))))))), 0'(0(0(2(0(0(2(1(2(z0))))))))), 0'(0(2(0(0(2(1(2(z0)))))))), 0'(2(0(0(2(1(2(z0))))))), 0'(0(2(1(2(z0))))), 0'(2(1(2(z0)))), 1'(2(z0)))
   0'(c_0(c_1(c_0(2(c_1(2(2(2(2(c_0(c_1(2(c_0(c_1(c_1(2(2(c_0(2(z0)))))))))))))))))))) -> c103(0'(0(2(1(1(0(0(2(2(2(0(1(2(2(0(1(2(2(0(2(z0)))))))))))))))))))), 0'(2(1(1(0(0(2(2(2(0(1(2(2(0(1(2(2(0(2(z0))))))))))))))))))), 1'(1(0(0(2(2(2(0(1(2(2(0(1(2(2(0(2(z0))))))))))))))))), 1'(0(0(2(2(2(0(1(2(2(0(1(2(2(0(2(z0)))))))))))))))), 0'(0(2(2(2(0(1(2(2(0(1(2(2(0(2(z0))))))))))))))), 0'(2(2(2(0(1(2(2(0(1(2(2(0(2(z0)))))))))))))), 0'(1(2(2(0(1(2(2(0(2(z0)))))))))), 1'(2(2(0(1(2(2(0(2(z0))))))))), 0'(1(2(2(0(2(z0)))))), 1'(2(2(0(2(z0))))), 0'(2(z0)))
   0'(c_1(c_1(c_0(c_1(2(c_1(2(c_0(2(2(c_1(c_0(c_0(2(c_0(c_1(c_0(c_1(c_1(z0)))))))))))))))))))) -> c104(0'(0(0(1(2(0(2(2(2(0(1(0(1(2(1(1(1(0(2(0(z0)))))))))))))))))))), 0'(0(1(2(0(2(2(2(0(1(0(1(2(1(1(1(0(2(0(z0))))))))))))))))))), 0'(1(2(0(2(2(2(0(1(0(1(2(1(1(1(0(2(0(z0)))))))))))))))))), 1'(2(0(2(2(2(0(1(0(1(2(1(1(1(0(2(0(z0))))))))))))))))), 0'(2(2(2(0(1(0(1(2(1(1(1(0(2(0(z0))))))))))))))), 0'(1(0(1(2(1(1(1(0(2(0(z0))))))))))), 1'(0(1(2(1(1(1(0(2(0(z0)))))))))), 0'(1(2(1(1(1(0(2(0(z0))))))))), 1'(2(1(1(1(0(2(0(z0)))))))), 1'(1(1(0(2(0(z0)))))), 1'(1(0(2(0(z0))))), 1'(0(2(0(z0)))), 0'(2(0(z0))), 0'(z0))
   1'(2(2(c_0(2(c_0(2(c_1(2(c_1(2(c_1(c_0(c_0(c_1(c_0(c_0(2(c_0(c_1(z0)))))))))))))))))))) -> c106(1'(0(1(2(0(1(0(0(1(0(0(0(2(1(0(0(1(0(0(2(z0)))))))))))))))))))), 0'(1(2(0(1(0(0(1(0(0(0(2(1(0(0(1(0(0(2(z0))))))))))))))))))), 1'(2(0(1(0(0(1(0(0(0(2(1(0(0(1(0(0(2(z0)))))))))))))))))), 0'(1(0(0(1(0(0(0(2(1(0(0(1(0(0(2(z0)))))))))))))))), 1'(0(0(1(0(0(0(2(1(0(0(1(0(0(2(z0))))))))))))))), 0'(0(1(0(0(0(2(1(0(0(1(0(0(2(z0)))))))))))))), 0'(1(0(0(0(2(1(0(0(1(0(0(2(z0))))))))))))), 1'(0(0(0(2(1(0(0(1(0(0(2(z0)))))))))))), 0'(0(0(2(1(0(0(1(0(0(2(z0))))))))))), 0'(0(2(1(0(0(1(0(0(2(z0)))))))))), 0'(2(1(0(0(1(0(0(2(z0))))))))), 1'(0(0(1(0(0(2(z0))))))), 0'(0(1(0(0(2(z0)))))), 0'(1(0(0(2(z0))))), 1'(0(0(2(z0)))), 0'(0(2(z0))), 0'(2(z0)))
   0'(2(c_1(c_1(c_1(c_0(2(c_1(c_1(c_0(c_1(c_0(2(2(c_0(c_0(2(c_0(2(c_1(z0)))))))))))))))))))) -> c9(0'(1(0(1(2(2(2(1(1(0(2(2(1(2(0(0(0(0(2(1(z0)))))))))))))))))))), 1'(0(1(2(2(2(1(1(0(2(2(1(2(0(0(0(0(2(1(z0))))))))))))))))))), 0'(1(2(2(2(1(1(0(2(2(1(2(0(0(0(0(2(1(z0)))))))))))))))))), 1'(1(0(2(2(1(2(0(0(0(0(2(1(z0))))))))))))), 1'(0(2(2(1(2(0(0(0(0(2(1(z0)))))))))))), 0'(2(2(1(2(0(0(0(0(2(1(z0))))))))))), 1'(2(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))), 1'(z0))
   0'(c_0(2(c_0(2(c_1(c_1(2(c_1(c_1(c_1(c_1(c_1(c_0(c_1(c_1(c_1(2(2(c_1(z0)))))))))))))))))))) -> c21(0'(2(0(0(2(1(1(2(2(0(2(0(1(2(2(2(1(1(1(2(z0)))))))))))))))))))), 0'(0(2(1(1(2(2(0(2(0(1(2(2(2(1(1(1(2(z0)))))))))))))))))), 0'(2(1(1(2(2(0(2(0(1(2(2(2(1(1(1(2(z0))))))))))))))))), 1'(1(2(2(0(2(0(1(2(2(2(1(1(1(2(z0))))))))))))))), 1'(2(2(0(2(0(1(2(2(2(1(1(1(2(z0)))))))))))))), 0'(2(0(1(2(2(2(1(1(1(2(z0))))))))))), 0'(1(2(2(2(1(1(1(2(z0))))))))), 1'(1(1(2(z0)))), 1'(1(2(z0))), 1'(2(z0)))
   0'(2(c_0(c_1(c_1(c_1(c_0(c_1(2(2(c_0(2(c_0(2(c_0(2(c_1(2(c_0(c_1(z0)))))))))))))))))))) -> c22(0'(2(2(0(1(2(2(2(2(1(0(2(1(2(0(0(2(2(2(1(z0)))))))))))))))))))), 0'(1(2(2(2(2(1(0(2(1(2(0(0(2(2(2(1(z0))))))))))))))))), 1'(0(2(1(2(0(0(2(2(2(1(z0))))))))))), 0'(2(1(2(0(0(2(2(2(1(z0)))))))))), 1'(2(0(0(2(2(2(1(z0)))))))), 0'(0(2(2(2(1(z0)))))), 0'(2(2(2(1(z0))))), 1'(z0))
   0'(2(c_0(2(c_1(c_0(c_0(c_1(2(c_0(2(c_0(c_1(c_0(c_1(c_1(c_1(2(2(c_1(z0)))))))))))))))))))) -> c31(0'(0(1(0(1(0(1(1(2(1(0(0(0(1(2(2(2(0(1(0(z0)))))))))))))))))))), 0'(1(0(1(0(1(1(2(1(0(0(0(1(2(2(2(0(1(0(z0))))))))))))))))))), 1'(0(1(0(1(1(2(1(0(0(0(1(2(2(2(0(1(0(z0)))))))))))))))))), 0'(1(0(1(1(2(1(0(0(0(1(2(2(2(0(1(0(z0))))))))))))))))), 1'(0(1(1(2(1(0(0(0(1(2(2(2(0(1(0(z0)))))))))))))))), 0'(1(1(2(1(0(0(0(1(2(2(2(0(1(0(z0))))))))))))))), 1'(1(2(1(0(0(0(1(2(2(2(0(1(0(z0)))))))))))))), 1'(2(1(0(0(0(1(2(2(2(0(1(0(z0))))))))))))), 1'(0(0(0(1(2(2(2(0(1(0(z0))))))))))), 0'(0(0(1(2(2(2(0(1(0(z0)))))))))), 0'(0(1(2(2(2(0(1(0(z0))))))))), 0'(1(2(2(2(0(1(0(z0)))))))), 0'(1(0(z0))), 1'(0(z0)), 0'(z0))
   0'(c_1(c_1(2(c_0(c_1(c_0(c_0(c_1(2(c_0(2(c_1(c_0(c_0(c_0(c_0(2(c_0(c_1(z0)))))))))))))))))))) -> c40(0'(0(2(1(2(2(2(1(2(1(0(0(0(2(2(1(0(1(2(0(z0)))))))))))))))))))), 0'(2(1(2(2(2(1(2(1(0(0(0(2(2(1(0(1(2(0(z0))))))))))))))))))), 1'(2(1(0(0(0(2(2(1(0(1(2(0(z0))))))))))))), 1'(0(0(0(2(2(1(0(1(2(0(z0))))))))))), 0'(0(0(2(2(1(0(1(2(0(z0)))))))))), 0'(0(2(2(1(0(1(2(0(z0))))))))), 0'(2(2(1(0(1(2(0(z0)))))))), 1'(0(1(2(0(z0))))), 0'(1(2(0(z0)))), 1'(2(0(z0))), 0'(z0))
   0'(c_1(c_0(2(2(2(c_1(2(c_1(c_1(c_1(2(c_1(c_0(2(c_1(c_1(c_1(c_0(c_1(z0)))))))))))))))))))) -> c61(0'(0(1(2(2(2(1(0(0(1(1(2(1(1(2(0(0(1(2(0(z0)))))))))))))))))))), 0'(1(2(2(2(1(0(0(1(1(2(1(1(2(0(0(1(2(0(z0))))))))))))))))))), 1'(0(0(1(1(2(1(1(2(0(0(1(2(0(z0)))))))))))))), 0'(0(1(1(2(1(1(2(0(0(1(2(0(z0))))))))))))), 0'(1(1(2(1(1(2(0(0(1(2(0(z0)))))))))))), 1'(1(2(1(1(2(0(0(1(2(0(z0))))))))))), 1'(2(1(1(2(0(0(1(2(0(z0)))))))))), 1'(1(2(0(0(1(2(0(z0)))))))), 1'(2(0(0(1(2(0(z0))))))), 0'(0(1(2(0(z0))))), 0'(1(2(0(z0)))), 1'(2(0(z0))), 0'(z0))
   0'(c_1(c_1(c_0(2(c_1(c_1(c_0(c_0(c_1(c_1(c_1(2(2(2(c_0(2(c_0(c_0(2(z0)))))))))))))))))))) -> c63(0'(1(2(1(0(2(1(0(1(2(2(2(0(0(2(0(2(2(1(2(z0)))))))))))))))))))), 1'(2(1(0(2(1(0(1(2(2(2(0(0(2(0(2(2(1(2(z0))))))))))))))))))), 1'(0(2(1(0(1(2(2(2(0(0(2(0(2(2(1(2(z0))))))))))))))))), 0'(2(1(0(1(2(2(2(0(0(2(0(2(2(1(2(z0)))))))))))))))), 1'(0(1(2(2(2(0(0(2(0(2(2(1(2(z0)))))))))))))), 0'(1(2(2(2(0(0(2(0(2(2(1(2(z0))))))))))))), 0'(0(2(0(2(2(1(2(z0)))))))), 0'(2(0(2(2(1(2(z0))))))), 0'(2(2(1(2(z0))))), 1'(2(z0)))
   0'(c_1(c_1(c_1(c_1(2(c_0(c_0(c_0(2(2(2(2(c_1(c_0(2(2(2(c_0(c_1(z0)))))))))))))))))))) -> c65(0'(2(0(0(0(1(2(0(1(2(2(2(1(2(1(1(1(2(1(2(z0)))))))))))))))))))), 0'(0(0(1(2(0(1(2(2(2(1(2(1(1(1(2(1(2(z0)))))))))))))))))), 0'(0(1(2(0(1(2(2(2(1(2(1(1(1(2(1(2(z0))))))))))))))))), 0'(1(2(0(1(2(2(2(1(2(1(1(1(2(1(2(z0)))))))))))))))), 1'(2(0(1(2(2(2(1(2(1(1(1(2(1(2(z0))))))))))))))), 0'(1(2(2(2(1(2(1(1(1(2(1(2(z0))))))))))))), 1'(2(1(1(1(2(1(2(z0)))))))), 1'(1(1(2(1(2(z0)))))), 1'(1(2(1(2(z0))))), 1'(2(1(2(z0)))), 1'(2(z0)))
   0'(2(c_1(c_1(c_1(c_0(c_0(c_1(2(c_1(2(c_1(c_1(2(c_0(2(c_1(c_0(c_1(2(z0)))))))))))))))))))) -> c74(0'(1(0(1(0(2(0(0(0(1(1(1(2(0(0(0(1(2(2(2(z0)))))))))))))))))))), 1'(0(1(0(2(0(0(0(1(1(1(2(0(0(0(1(2(2(2(z0))))))))))))))))))), 0'(1(0(2(0(0(0(1(1(1(2(0(0(0(1(2(2(2(z0)))))))))))))))))), 1'(0(2(0(0(0(1(1(1(2(0(0(0(1(2(2(2(z0))))))))))))))))), 0'(2(0(0(0(1(1(1(2(0(0(0(1(2(2(2(z0)))))))))))))))), 0'(0(0(1(1(1(2(0(0(0(1(2(2(2(z0)))))))))))))), 0'(0(1(1(1(2(0(0(0(1(2(2(2(z0))))))))))))), 0'(1(1(1(2(0(0(0(1(2(2(2(z0)))))))))))), 1'(1(1(2(0(0(0(1(2(2(2(z0))))))))))), 1'(1(2(0(0(0(1(2(2(2(z0)))))))))), 1'(2(0(0(0(1(2(2(2(z0))))))))), 0'(0(0(1(2(2(2(z0))))))), 0'(0(1(2(2(2(z0)))))), 0'(1(2(2(2(z0))))))
   0'(2(2(c_1(c_1(c_1(c_1(c_0(c_0(c_1(c_0(c_1(c_0(2(2(c_1(c_1(2(2(c_1(z0)))))))))))))))))))) -> c75(0'(2(2(2(0(2(2(1(1(2(2(2(2(0(2(0(0(2(0(2(z0)))))))))))))))))))), 0'(2(2(1(1(2(2(2(2(0(2(0(0(2(0(2(z0)))))))))))))))), 1'(1(2(2(2(2(0(2(0(0(2(0(2(z0))))))))))))), 0'(2(0(0(2(0(2(z0))))))), 0'(0(2(0(2(z0))))), 0'(2(0(2(z0)))), 0'(2(z0)))
   0'(c_1(c_0(c_1(c_1(2(2(c_0(c_0(c_0(2(2(2(c_1(c_1(c_0(c_1(c_1(c_1(c_1(z0)))))))))))))))))))) -> c81(0'(0(2(2(2(2(2(2(1(1(0(1(2(2(0(1(2(0(2(1(z0)))))))))))))))))))), 1'(1(0(1(2(2(0(1(2(0(2(1(z0)))))))))))), 1'(0(1(2(2(0(1(2(0(2(1(z0))))))))))), 0'(1(2(2(0(1(2(0(2(1(z0)))))))))), 1'(2(2(0(1(2(0(2(1(z0))))))))), 0'(1(2(0(2(1(z0)))))), 1'(2(0(2(1(z0))))), 0'(2(1(z0))), 1'(z0))
   0'(c_0(c_1(c_1(c_0(2(2(c_1(c_1(c_1(c_1(c_1(2(c_0(2(c_1(c_0(2(2(c_1(z0)))))))))))))))))))) -> c82(0'(2(0(1(1(0(1(2(2(2(0(0(2(2(2(0(2(0(0(0(z0)))))))))))))))))))), 0'(1(1(0(1(2(2(2(0(0(2(2(2(0(2(0(0(0(z0)))))))))))))))))), 1'(1(0(1(2(2(2(0(0(2(2(2(0(2(0(0(0(z0))))))))))))))))), 1'(0(1(2(2(2(0(0(2(2(2(0(2(0(0(0(z0)))))))))))))))), 0'(1(2(2(2(0(0(2(2(2(0(2(0(0(0(z0))))))))))))))), 0'(0(2(2(2(0(2(0(0(0(z0)))))))))), 0'(2(2(2(0(2(0(0(0(z0))))))))), 0'(2(0(0(0(z0))))), 0'(0(0(z0))), 0'(0(z0)), 0'(z0))
   0'(c_1(c_1(c_0(c_1(c_1(c_1(c_1(2(c_0(2(c_0(2(2(2(c_0(c_0(c_0(2(c_1(z0)))))))))))))))))))) -> c86(0'(1(0(1(2(2(2(0(2(2(1(1(2(2(2(0(0(0(1(0(z0)))))))))))))))))))), 1'(0(1(2(2(2(0(2(2(1(1(2(2(2(0(0(0(1(0(z0))))))))))))))))))), 0'(1(2(2(2(0(2(2(1(1(2(2(2(0(0(0(1(0(z0)))))))))))))))))), 0'(2(2(1(1(2(2(2(0(0(0(1(0(z0))))))))))))), 1'(1(2(2(2(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_1(c_0(c_1(2(2(2(c_1(c_1(2(c_1(2(c_1(c_0(2(c_0(c_1(2(c_0(z0)))))))))))))))))))) -> c87(0'(2(0(1(1(2(2(2(1(0(0(2(1(0(0(0(0(2(0(2(z0)))))))))))))))))))), 0'(1(1(2(2(2(1(0(0(2(1(0(0(0(0(2(0(2(z0)))))))))))))))))), 1'(1(2(2(2(1(0(0(2(1(0(0(0(0(2(0(2(z0))))))))))))))))), 1'(0(0(2(1(0(0(0(0(2(0(2(z0)))))))))))), 0'(0(2(1(0(0(0(0(2(0(2(z0))))))))))), 0'(2(1(0(0(0(0(2(0(2(z0)))))))))), 1'(0(0(0(0(2(0(2(z0)))))))), 0'(0(0(0(2(0(2(z0))))))), 0'(0(0(2(0(2(z0)))))), 0'(0(2(0(2(z0))))), 0'(2(0(2(z0)))), 0'(2(z0)))
   0'(c_1(c_1(2(c_0(2(c_0(2(2(c_1(c_1(2(c_0(c_1(2(2(c_0(c_1(c_0(c_0(z0)))))))))))))))))))) -> c91(0'(1(2(0(0(0(2(1(2(0(1(2(2(2(2(0(1(1(0(1(z0)))))))))))))))))))), 1'(2(0(0(0(2(1(2(0(1(2(2(2(2(0(1(1(0(1(z0))))))))))))))))))), 0'(0(0(2(1(2(0(1(2(2(2(2(0(1(1(0(1(z0))))))))))))))))), 0'(0(2(1(2(0(1(2(2(2(2(0(1(1(0(1(z0)))))))))))))))), 0'(2(1(2(0(1(2(2(2(2(0(1(1(0(1(z0))))))))))))))), 1'(2(0(1(2(2(2(2(0(1(1(0(1(z0))))))))))))), 0'(1(2(2(2(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))
   0'(2(c_1(c_1(2(c_0(2(2(2(c_0(c_1(2(c_0(2(c_0(2(2(c_0(c_0(c_1(z0)))))))))))))))))))) -> c92(0'(0(2(1(2(0(0(0(2(0(1(2(2(2(1(0(1(1(1(0(z0)))))))))))))))))))), 0'(2(1(2(0(0(0(2(0(1(2(2(2(1(0(1(1(1(0(z0))))))))))))))))))), 1'(2(0(0(0(2(0(1(2(2(2(1(0(1(1(1(0(z0))))))))))))))))), 0'(0(0(2(0(1(2(2(2(1(0(1(1(1(0(z0))))))))))))))), 0'(0(2(0(1(2(2(2(1(0(1(1(1(0(z0)))))))))))))), 0'(2(0(1(2(2(2(1(0(1(1(1(0(z0))))))))))))), 0'(1(2(2(2(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))
   0'(c_1(2(c_1(c_0(c_1(2(2(c_1(c_1(c_0(c_0(c_1(c_1(2(2(c_1(c_0(c_1(c_1(z0)))))))))))))))))))) -> c96(0'(2(2(2(0(2(0(2(0(1(2(1(2(2(2(1(0(0(1(0(z0)))))))))))))))))))), 0'(2(0(2(0(1(2(1(2(2(2(1(0(0(1(0(z0)))))))))))))))), 0'(2(0(1(2(1(2(2(2(1(0(0(1(0(z0)))))))))))))), 0'(1(2(1(2(2(2(1(0(0(1(0(z0)))))))))))), 1'(2(1(2(2(2(1(0(0(1(0(z0))))))))))), 1'(0(0(1(0(z0))))), 0'(0(1(0(z0)))), 0'(1(0(z0))), 1'(0(z0)), 0'(z0))
   0'(2(2(c_1(c_1(2(2(c_1(c_0(2(c_1(2(c_1(c_1(2(2(2(c_0(2(c_0(z0)))))))))))))))))))) -> c97(0'(2(1(2(2(2(1(0(0(1(0(0(0(1(2(1(1(2(2(1(z0)))))))))))))))))))), 1'(0(0(1(0(0(0(1(2(1(1(2(2(1(z0)))))))))))))), 0'(0(1(0(0(0(1(2(1(1(2(2(1(z0))))))))))))), 0'(1(0(0(0(1(2(1(1(2(2(1(z0)))))))))))), 1'(0(0(0(1(2(1(1(2(2(1(z0))))))))))), 0'(0(0(1(2(1(1(2(2(1(z0)))))))))), 0'(0(1(2(1(1(2(2(1(z0))))))))), 0'(1(2(1(1(2(2(1(z0)))))))), 1'(2(1(1(2(2(1(z0))))))), 1'(1(2(2(1(z0))))), 1'(2(2(1(z0)))), 1'(z0))
K tuples:none
Defined Rule Symbols:   encArg_1, 0_1, 1_1

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

Compound Symbols:   c_1, c7_14, c8_13, c10_13, c11_13, c12_15, c13_10, c14_13, c15_12, c16_14, c17_13, c18_13, c19_16, c20_13, c23_16, c24_12, c25_15, c26_14, c27_14, c28_14, c29_14, c30_12, c32_16, c33_14, c34_15, c35_11, c36_16, c37_16, c38_13, c39_15, c41_16, c42_11, c43_16, c44_12, c45_16, c46_15, c47_18, c48_10, c49_14, c50_13, c51_15, c52_15, c53_14, c54_15, c55_15, c56_13, c57_9, c58_11, c59_14, c60_13, c62_16, c64_15, c66_16, c67_14, c68_15, c69_14, c70_13, c71_13, c72_16, c73_15, c76_12, c77_15, c78_15, c79_16, c80_14, c83_16, c84_14, c85_15, c88_16, c89_12, c90_13, c93_14, c94_12, c95_11, c98_13, c99_15, c100_13, c101_17, c102_14, c103_11, c104_14, c106_17, c9_12, c21_10, c22_8, c31_15, c40_11, c61_13, c63_10, c65_11, c74_14, c75_7, c81_9, c82_11, c86_10, c87_12, c91_12, c92_13, c96_10, c97_12, c5_1, c1_2, c2_2


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

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

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

(54)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(2(z0)) -> 2(encArg(z0))
   encArg(cons_0(z0)) -> 0(encArg(z0))
   encArg(cons_1(z0)) -> 1(encArg(z0))
   0(z0) -> c_0(z0)
   0(c_0(c_1(c_0(2(2(c_1(2(c_0(c_0(c_1(c_1(2(2(2(c_1(c_1(2(c_1(c_1(z0)))))))))))))))))))) -> 0(2(0(2(2(0(0(1(2(0(2(0(0(1(1(0(0(2(1(1(z0))))))))))))))))))))
   0(c_1(c_0(c_1(2(c_1(c_1(c_1(c_0(c_0(c_1(c_1(2(2(2(c_0(2(c_0(c_1(2(z0)))))))))))))))))))) -> 0(2(1(1(2(1(0(2(0(1(1(0(2(0(1(0(2(2(0(2(z0))))))))))))))))))))
   0(2(c_1(c_1(c_1(c_0(2(c_1(c_1(c_0(c_1(c_0(2(2(c_0(c_0(2(c_0(2(c_1(z0)))))))))))))))))))) -> 0(1(0(1(2(2(2(1(1(0(2(2(1(2(0(0(0(0(2(1(z0))))))))))))))))))))
   0(c_1(c_0(2(2(c_1(c_1(c_0(c_1(c_0(2(2(c_1(c_0(2(c_0(c_1(c_0(c_1(c_1(z0)))))))))))))))))))) -> 0(1(2(0(0(2(2(0(0(0(0(2(1(2(1(0(1(2(0(2(z0))))))))))))))))))))
   0(2(c_1(2(c_0(c_1(c_1(c_1(2(c_0(c_1(c_1(2(c_1(2(c_0(2(c_0(2(c_0(z0)))))))))))))))))))) -> 0(1(2(1(1(0(1(1(2(1(2(0(1(0(1(2(2(0(2(2(z0))))))))))))))))))))
   0(c_0(c_1(c_0(c_0(c_1(c_1(2(c_1(c_1(2(2(c_1(c_1(2(2(c_1(c_1(c_0(2(z0)))))))))))))))))))) -> 0(1(1(0(0(2(0(0(2(0(2(1(1(1(1(1(0(2(0(2(z0))))))))))))))))))))
   0(c_1(c_1(c_0(c_1(c_0(2(c_1(c_1(2(2(c_0(2(c_0(2(c_0(2(2(c_0(c_1(z0)))))))))))))))))))) -> 0(2(0(2(1(0(0(1(2(2(1(2(2(1(2(2(1(2(2(0(z0))))))))))))))))))))
   0(c_1(c_0(c_1(c_1(c_1(c_1(2(c_0(2(2(2(2(2(2(c_1(c_0(2(c_0(c_1(z0)))))))))))))))))))) -> 0(0(0(2(2(1(0(0(1(2(1(0(2(2(1(0(0(2(2(1(z0))))))))))))))))))))
   0(c_0(2(2(c_0(c_0(c_1(c_0(2(2(c_1(c_1(2(2(c_1(c_0(2(2(c_0(c_1(z0)))))))))))))))))))) -> 0(2(0(2(2(1(0(0(2(2(1(2(1(1(0(0(2(0(2(1(z0))))))))))))))))))))
   0(c_0(2(2(c_1(c_1(c_1(c_0(c_1(c_0(c_1(c_0(c_1(2(2(2(c_1(2(c_0(c_0(z0)))))))))))))))))))) -> 0(1(0(2(0(2(2(1(0(1(0(2(1(2(1(0(1(1(1(2(z0))))))))))))))))))))
   0(c_1(c_1(c_0(c_0(2(c_0(2(c_1(c_1(c_1(2(c_1(2(c_1(c_0(c_0(c_1(c_1(c_1(z0)))))))))))))))))))) -> 0(1(0(0(2(2(0(0(2(2(0(2(0(0(1(2(1(0(1(2(z0))))))))))))))))))))
   0(c_1(c_1(c_0(2(c_1(2(c_1(c_1(c_0(c_1(c_1(2(c_1(c_0(c_1(c_0(c_1(c_1(c_1(z0)))))))))))))))))))) -> 0(1(1(1(2(1(2(2(0(1(1(0(2(2(0(0(2(1(0(2(z0))))))))))))))))))))
   0(2(c_1(c_1(c_1(2(2(c_0(c_0(c_0(2(c_1(c_0(c_1(2(2(c_1(c_0(2(c_0(z0)))))))))))))))))))) -> 0(1(0(1(0(0(0(1(0(2(1(1(0(0(2(1(2(0(2(1(z0))))))))))))))))))))
   0(c_0(c_0(2(c_1(2(2(c_0(c_1(c_1(c_0(c_0(c_1(c_1(2(c_1(c_0(2(2(c_1(z0)))))))))))))))))))) -> 0(2(0(1(1(2(0(1(2(1(2(1(0(2(2(0(2(0(1(0(z0))))))))))))))))))))
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   0(c_0(c_1(c_0(c_1(2(2(2(c_1(c_1(2(c_1(2(c_1(c_0(2(c_0(c_1(2(c_0(z0)))))))))))))))))))) -> 0(2(0(1(1(2(2(2(1(0(0(2(1(0(0(0(0(2(0(2(z0))))))))))))))))))))
   0(c_0(c_0(c_1(2(c_0(2(2(c_1(c_1(c_0(c_1(c_0(c_1(2(c_0(c_1(c_1(c_1(c_1(z0)))))))))))))))))))) -> 0(1(2(0(1(2(1(0(1(0(1(0(2(0(1(1(1(1(0(2(z0))))))))))))))))))))
   0(c_0(c_1(2(c_0(c_1(2(c_0(c_1(c_1(c_1(c_0(2(2(c_1(c_0(2(c_1(c_1(2(z0)))))))))))))))))))) -> 0(1(2(2(0(2(2(2(1(0(1(2(2(1(0(0(1(1(1(2(z0))))))))))))))))))))
   0(c_0(c_1(2(2(c_1(c_1(c_0(2(2(2(c_0(c_1(c_1(c_1(c_1(c_0(c_1(2(c_1(z0)))))))))))))))))))) -> 0(1(2(2(0(1(1(1(2(0(2(0(0(1(2(0(2(1(2(0(z0))))))))))))))))))))
   0(c_1(c_1(2(c_0(2(c_0(2(2(c_1(c_1(2(c_0(c_1(2(2(c_0(c_1(c_0(c_0(z0)))))))))))))))))))) -> 0(1(2(0(0(0(2(1(2(0(1(2(2(2(2(0(1(1(0(1(z0))))))))))))))))))))
   0(2(c_1(c_1(2(c_0(2(2(2(c_0(c_1(2(c_0(2(c_0(2(2(c_0(c_0(c_1(z0)))))))))))))))))))) -> 0(0(2(1(2(0(0(0(2(0(1(2(2(2(1(0(1(1(1(0(z0))))))))))))))))))))
   0(c_1(c_0(c_1(c_0(c_1(c_1(c_0(c_0(c_0(c_1(c_0(2(c_1(c_1(2(c_0(c_1(c_0(c_1(z0)))))))))))))))))))) -> 0(0(2(1(1(0(0(2(0(2(1(0(1(1(0(2(2(0(1(2(z0))))))))))))))))))))
   0(c_0(c_1(2(2(c_0(c_1(c_1(2(c_0(c_0(2(2(c_1(c_0(2(c_1(2(c_1(c_0(z0)))))))))))))))))))) -> 0(2(2(0(2(0(2(1(0(2(0(0(2(2(1(0(0(0(2(0(z0))))))))))))))))))))
   0(c_0(c_0(2(2(c_1(c_1(2(2(c_0(c_0(2(c_1(2(c_0(c_1(c_1(c_0(2(2(z0)))))))))))))))))))) -> 0(2(2(2(1(0(0(2(1(2(1(2(1(2(1(1(1(2(0(2(z0))))))))))))))))))))
   0(c_1(2(c_1(c_0(c_1(2(2(c_1(c_1(c_0(c_0(c_1(c_1(2(2(c_1(c_0(c_1(c_1(z0)))))))))))))))))))) -> 0(2(2(2(0(2(0(2(0(1(2(1(2(2(2(1(0(0(1(0(z0))))))))))))))))))))
   0(2(2(c_1(c_1(2(2(c_1(c_0(2(c_1(2(c_1(c_1(2(2(2(c_0(2(c_0(z0)))))))))))))))))))) -> 0(2(1(2(2(2(1(0(0(1(0(0(0(1(2(1(1(2(2(1(z0))))))))))))))))))))
   0(c_1(c_1(c_1(2(2(c_1(2(c_1(c_1(c_1(c_0(c_0(c_1(c_1(c_1(2(c_1(c_1(c_0(z0)))))))))))))))))))) -> 0(0(1(0(2(0(1(1(1(2(0(2(1(2(2(0(2(1(2(1(z0))))))))))))))))))))
   0(c_0(2(c_0(c_1(c_1(2(c_0(2(c_1(c_0(2(2(c_1(c_1(c_0(c_1(2(c_0(c_1(z0)))))))))))))))))))) -> 0(1(2(0(2(0(1(0(1(2(1(0(0(2(2(1(0(1(0(1(z0))))))))))))))))))))
   0(c_1(c_1(2(2(2(2(c_1(c_0(2(c_0(c_0(c_1(2(2(c_1(2(2(2(2(z0)))))))))))))))))))) -> 0(1(0(0(2(0(0(1(2(1(2(0(1(2(2(1(0(2(0(2(z0))))))))))))))))))))
   0(2(c_0(c_1(2(c_1(c_1(c_1(c_1(2(c_0(2(c_1(2(c_0(c_1(2(2(c_0(c_1(z0)))))))))))))))))))) -> 0(1(1(1(1(2(1(0(0(1(1(0(2(1(0(0(2(0(0(1(z0))))))))))))))))))))
   0(c_1(c_0(c_1(c_1(2(c_1(c_0(c_0(c_0(2(2(2(c_1(2(c_1(2(c_1(c_0(2(z0)))))))))))))))))))) -> 0(1(0(0(2(2(1(2(1(0(1(0(0(0(2(0(0(2(1(2(z0))))))))))))))))))))
   0(c_0(c_1(c_0(2(c_1(2(2(2(2(c_0(c_1(2(c_0(c_1(c_1(2(2(c_0(2(z0)))))))))))))))))))) -> 0(0(2(1(1(0(0(2(2(2(0(1(2(2(0(1(2(2(0(2(z0))))))))))))))))))))
   0(c_1(c_1(c_0(c_1(2(c_1(2(c_0(2(2(c_1(c_0(c_0(2(c_0(c_1(c_0(c_1(c_1(z0)))))))))))))))))))) -> 0(0(0(1(2(0(2(2(2(0(1(0(1(2(1(1(1(0(2(0(z0))))))))))))))))))))
   1(z0) -> c_1(z0)
   1(2(2(c_0(2(c_0(2(c_1(2(c_1(2(c_1(c_0(c_0(c_1(c_0(c_0(2(c_0(c_1(z0)))))))))))))))))))) -> 1(0(1(2(0(1(0(0(1(0(0(0(2(1(0(0(1(0(0(2(z0))))))))))))))))))))
Tuples:
   ENCARG(2(z0)) -> c(ENCARG(z0))
   0'(c_1(c_0(c_1(2(c_1(c_1(c_1(c_0(c_0(c_1(c_1(2(2(2(c_0(2(c_0(c_1(2(z0)))))))))))))))))))) -> c8(0'(2(1(1(2(1(0(2(0(1(1(0(2(0(1(0(2(2(0(2(z0)))))))))))))))))))), 1'(1(2(1(0(2(0(1(1(0(2(0(1(0(2(2(0(2(z0)))))))))))))))))), 1'(2(1(0(2(0(1(1(0(2(0(1(0(2(2(0(2(z0))))))))))))))))), 1'(0(2(0(1(1(0(2(0(1(0(2(2(0(2(z0))))))))))))))), 0'(2(0(1(1(0(2(0(1(0(2(2(0(2(z0)))))))))))))), 0'(1(1(0(2(0(1(0(2(2(0(2(z0)))))))))))), 1'(1(0(2(0(1(0(2(2(0(2(z0))))))))))), 1'(0(2(0(1(0(2(2(0(2(z0)))))))))), 0'(2(0(1(0(2(2(0(2(z0))))))))), 0'(1(0(2(2(0(2(z0))))))), 1'(0(2(2(0(2(z0)))))), 0'(2(2(0(2(z0))))), 0'(2(z0)))
   0'(c_1(c_0(2(2(c_1(c_1(c_0(c_1(c_0(2(2(c_1(c_0(2(c_0(c_1(c_0(c_1(c_1(z0)))))))))))))))))))) -> c10(0'(1(2(0(0(2(2(0(0(0(0(2(1(2(1(0(1(2(0(2(z0)))))))))))))))))))), 1'(2(0(0(2(2(0(0(0(0(2(1(2(1(0(1(2(0(2(z0))))))))))))))))))), 0'(0(2(2(0(0(0(0(2(1(2(1(0(1(2(0(2(z0))))))))))))))))), 0'(2(2(0(0(0(0(2(1(2(1(0(1(2(0(2(z0)))))))))))))))), 0'(0(0(0(2(1(2(1(0(1(2(0(2(z0))))))))))))), 0'(0(0(2(1(2(1(0(1(2(0(2(z0)))))))))))), 0'(0(2(1(2(1(0(1(2(0(2(z0))))))))))), 0'(2(1(2(1(0(1(2(0(2(z0)))))))))), 1'(2(1(0(1(2(0(2(z0)))))))), 1'(0(1(2(0(2(z0)))))), 0'(1(2(0(2(z0))))), 1'(2(0(2(z0)))), 0'(2(z0)))
   0'(2(c_1(2(c_0(c_1(c_1(c_1(2(c_0(c_1(c_1(2(c_1(2(c_0(2(c_0(2(c_0(z0)))))))))))))))))))) -> c11(0'(1(2(1(1(0(1(1(2(1(2(0(1(0(1(2(2(0(2(2(z0)))))))))))))))))))), 1'(2(1(1(0(1(1(2(1(2(0(1(0(1(2(2(0(2(2(z0))))))))))))))))))), 1'(1(0(1(1(2(1(2(0(1(0(1(2(2(0(2(2(z0))))))))))))))))), 1'(0(1(1(2(1(2(0(1(0(1(2(2(0(2(2(z0)))))))))))))))), 0'(1(1(2(1(2(0(1(0(1(2(2(0(2(2(z0))))))))))))))), 1'(1(2(1(2(0(1(0(1(2(2(0(2(2(z0)))))))))))))), 1'(2(1(2(0(1(0(1(2(2(0(2(2(z0))))))))))))), 1'(2(0(1(0(1(2(2(0(2(2(z0))))))))))), 0'(1(0(1(2(2(0(2(2(z0))))))))), 1'(0(1(2(2(0(2(2(z0)))))))), 0'(1(2(2(0(2(2(z0))))))), 1'(2(2(0(2(2(z0)))))), 0'(2(2(z0))))
   0'(c_0(c_1(c_0(c_0(c_1(c_1(2(c_1(c_1(2(2(c_1(c_1(2(2(c_1(c_1(c_0(2(z0)))))))))))))))))))) -> c12(0'(1(1(0(0(2(0(0(2(0(2(1(1(1(1(1(0(2(0(2(z0)))))))))))))))))))), 1'(1(0(0(2(0(0(2(0(2(1(1(1(1(1(0(2(0(2(z0))))))))))))))))))), 1'(0(0(2(0(0(2(0(2(1(1(1(1(1(0(2(0(2(z0)))))))))))))))))), 0'(0(2(0(0(2(0(2(1(1(1(1(1(0(2(0(2(z0))))))))))))))))), 0'(2(0(0(2(0(2(1(1(1(1(1(0(2(0(2(z0)))))))))))))))), 0'(0(2(0(2(1(1(1(1(1(0(2(0(2(z0)))))))))))))), 0'(2(0(2(1(1(1(1(1(0(2(0(2(z0))))))))))))), 0'(2(1(1(1(1(1(0(2(0(2(z0))))))))))), 1'(1(1(1(1(0(2(0(2(z0))))))))), 1'(1(1(1(0(2(0(2(z0)))))))), 1'(1(1(0(2(0(2(z0))))))), 1'(1(0(2(0(2(z0)))))), 1'(0(2(0(2(z0))))), 0'(2(0(2(z0)))), 0'(2(z0)))
   0'(c_1(c_1(c_0(c_1(c_0(2(c_1(c_1(2(2(c_0(2(c_0(2(c_0(2(2(c_0(c_1(z0)))))))))))))))))))) -> c13(0'(2(0(2(1(0(0(1(2(2(1(2(2(1(2(2(1(2(2(0(z0)))))))))))))))))))), 0'(2(1(0(0(1(2(2(1(2(2(1(2(2(1(2(2(0(z0)))))))))))))))))), 1'(0(0(1(2(2(1(2(2(1(2(2(1(2(2(0(z0)))))))))))))))), 0'(0(1(2(2(1(2(2(1(2(2(1(2(2(0(z0))))))))))))))), 0'(1(2(2(1(2(2(1(2(2(1(2(2(0(z0)))))))))))))), 1'(2(2(1(2(2(1(2(2(1(2(2(0(z0))))))))))))), 1'(2(2(1(2(2(1(2(2(0(z0)))))))))), 1'(2(2(1(2(2(0(z0))))))), 1'(2(2(0(z0)))), 0'(z0))
   0'(c_1(c_0(c_1(c_1(c_1(c_1(2(c_0(2(2(2(2(2(2(c_1(c_0(2(c_0(c_1(z0)))))))))))))))))))) -> c14(0'(0(0(2(2(1(0(0(1(2(1(0(2(2(1(0(0(2(2(1(z0)))))))))))))))))))), 0'(0(2(2(1(0(0(1(2(1(0(2(2(1(0(0(2(2(1(z0))))))))))))))))))), 0'(2(2(1(0(0(1(2(1(0(2(2(1(0(0(2(2(1(z0)))))))))))))))))), 1'(0(0(1(2(1(0(2(2(1(0(0(2(2(1(z0))))))))))))))), 0'(0(1(2(1(0(2(2(1(0(0(2(2(1(z0)))))))))))))), 0'(1(2(1(0(2(2(1(0(0(2(2(1(z0))))))))))))), 1'(2(1(0(2(2(1(0(0(2(2(1(z0)))))))))))), 1'(0(2(2(1(0(0(2(2(1(z0)))))))))), 0'(2(2(1(0(0(2(2(1(z0))))))))), 1'(0(0(2(2(1(z0)))))), 0'(0(2(2(1(z0))))), 0'(2(2(1(z0)))), 1'(z0))
   0'(c_0(2(2(c_0(c_0(c_1(c_0(2(2(c_1(c_1(2(2(c_1(c_0(2(2(c_0(c_1(z0)))))))))))))))))))) -> c15(0'(2(0(2(2(1(0(0(2(2(1(2(1(1(0(0(2(0(2(1(z0)))))))))))))))))))), 0'(2(2(1(0(0(2(2(1(2(1(1(0(0(2(0(2(1(z0)))))))))))))))))), 1'(0(0(2(2(1(2(1(1(0(0(2(0(2(1(z0))))))))))))))), 0'(0(2(2(1(2(1(1(0(0(2(0(2(1(z0)))))))))))))), 0'(2(2(1(2(1(1(0(0(2(0(2(1(z0))))))))))))), 1'(2(1(1(0(0(2(0(2(1(z0)))))))))), 1'(1(0(0(2(0(2(1(z0)))))))), 1'(0(0(2(0(2(1(z0))))))), 0'(0(2(0(2(1(z0)))))), 0'(2(0(2(1(z0))))), 0'(2(1(z0))), 1'(z0))
   0'(c_0(2(2(c_1(c_1(c_1(c_0(c_1(c_0(c_1(c_0(c_1(2(2(2(c_1(2(c_0(c_0(z0)))))))))))))))))))) -> c16(0'(1(0(2(0(2(2(1(0(1(0(2(1(2(1(0(1(1(1(2(z0)))))))))))))))))))), 1'(0(2(0(2(2(1(0(1(0(2(1(2(1(0(1(1(1(2(z0))))))))))))))))))), 0'(2(0(2(2(1(0(1(0(2(1(2(1(0(1(1(1(2(z0)))))))))))))))))), 0'(2(2(1(0(1(0(2(1(2(1(0(1(1(1(2(z0)))))))))))))))), 1'(0(1(0(2(1(2(1(0(1(1(1(2(z0))))))))))))), 0'(1(0(2(1(2(1(0(1(1(1(2(z0)))))))))))), 1'(0(2(1(2(1(0(1(1(1(2(z0))))))))))), 0'(2(1(2(1(0(1(1(1(2(z0)))))))))), 1'(2(1(0(1(1(1(2(z0)))))))), 1'(0(1(1(1(2(z0)))))), 0'(1(1(1(2(z0))))), 1'(1(1(2(z0)))), 1'(1(2(z0))), 1'(2(z0)))
   0'(c_1(c_1(c_0(c_0(2(c_0(2(c_1(c_1(c_1(2(c_1(2(c_1(c_0(c_0(c_1(c_1(c_1(z0)))))))))))))))))))) -> c17(0'(1(0(0(2(2(0(0(2(2(0(2(0(0(1(2(1(0(1(2(z0)))))))))))))))))))), 1'(0(0(2(2(0(0(2(2(0(2(0(0(1(2(1(0(1(2(z0))))))))))))))))))), 0'(0(2(2(0(0(2(2(0(2(0(0(1(2(1(0(1(2(z0)))))))))))))))))), 0'(2(2(0(0(2(2(0(2(0(0(1(2(1(0(1(2(z0))))))))))))))))), 0'(0(2(2(0(2(0(0(1(2(1(0(1(2(z0)))))))))))))), 0'(2(2(0(2(0(0(1(2(1(0(1(2(z0))))))))))))), 0'(2(0(0(1(2(1(0(1(2(z0)))))))))), 0'(0(1(2(1(0(1(2(z0)))))))), 0'(1(2(1(0(1(2(z0))))))), 1'(2(1(0(1(2(z0)))))), 1'(0(1(2(z0)))), 0'(1(2(z0))), 1'(2(z0)))
   0'(c_1(c_1(c_0(2(c_1(2(c_1(c_1(c_0(c_1(c_1(2(c_1(c_0(c_1(c_0(c_1(c_1(c_1(z0)))))))))))))))))))) -> c18(0'(1(1(1(2(1(2(2(0(1(1(0(2(2(0(0(2(1(0(2(z0)))))))))))))))))))), 1'(1(1(2(1(2(2(0(1(1(0(2(2(0(0(2(1(0(2(z0))))))))))))))))))), 1'(1(2(1(2(2(0(1(1(0(2(2(0(0(2(1(0(2(z0)))))))))))))))))), 1'(2(1(2(2(0(1(1(0(2(2(0(0(2(1(0(2(z0))))))))))))))))), 1'(2(2(0(1(1(0(2(2(0(0(2(1(0(2(z0))))))))))))))), 0'(1(1(0(2(2(0(0(2(1(0(2(z0)))))))))))), 1'(1(0(2(2(0(0(2(1(0(2(z0))))))))))), 1'(0(2(2(0(0(2(1(0(2(z0)))))))))), 0'(2(2(0(0(2(1(0(2(z0))))))))), 0'(0(2(1(0(2(z0)))))), 0'(2(1(0(2(z0))))), 1'(0(2(z0))), 0'(2(z0)))
   0'(2(c_1(c_1(c_1(2(2(c_0(c_0(c_0(2(c_1(c_0(c_1(2(2(c_1(c_0(2(c_0(z0)))))))))))))))))))) -> c19(0'(1(0(1(0(0(0(1(0(2(1(1(0(0(2(1(2(0(2(1(z0)))))))))))))))))))), 1'(0(1(0(0(0(1(0(2(1(1(0(0(2(1(2(0(2(1(z0))))))))))))))))))), 0'(1(0(0(0(1(0(2(1(1(0(0(2(1(2(0(2(1(z0)))))))))))))))))), 1'(0(0(0(1(0(2(1(1(0(0(2(1(2(0(2(1(z0))))))))))))))))), 0'(0(0(1(0(2(1(1(0(0(2(1(2(0(2(1(z0)))))))))))))))), 0'(0(1(0(2(1(1(0(0(2(1(2(0(2(1(z0))))))))))))))), 0'(1(0(2(1(1(0(0(2(1(2(0(2(1(z0)))))))))))))), 1'(0(2(1(1(0(0(2(1(2(0(2(1(z0))))))))))))), 0'(2(1(1(0(0(2(1(2(0(2(1(z0)))))))))))), 1'(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))))))), 1'(2(0(2(1(z0))))), 0'(2(1(z0))), 1'(z0))
   0'(c_0(c_0(2(c_1(2(2(c_0(c_1(c_1(c_0(c_0(c_1(c_1(2(c_1(c_0(2(2(c_1(z0)))))))))))))))))))) -> c20(0'(2(0(1(1(2(0(1(2(1(2(1(0(2(2(0(2(0(1(0(z0)))))))))))))))))))), 0'(1(1(2(0(1(2(1(2(1(0(2(2(0(2(0(1(0(z0)))))))))))))))))), 1'(1(2(0(1(2(1(2(1(0(2(2(0(2(0(1(0(z0))))))))))))))))), 1'(2(0(1(2(1(2(1(0(2(2(0(2(0(1(0(z0)))))))))))))))), 0'(1(2(1(2(1(0(2(2(0(2(0(1(0(z0)))))))))))))), 1'(2(1(2(1(0(2(2(0(2(0(1(0(z0))))))))))))), 1'(2(1(0(2(2(0(2(0(1(0(z0))))))))))), 1'(0(2(2(0(2(0(1(0(z0))))))))), 0'(2(2(0(2(0(1(0(z0)))))))), 0'(2(0(1(0(z0))))), 0'(1(0(z0))), 1'(0(z0)), 0'(z0))
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   0'(2(c_1(c_1(c_0(2(c_1(c_1(c_1(c_1(2(2(c_0(c_1(c_1(c_1(2(2(c_1(c_1(z0)))))))))))))))))))) -> c29(0'(0(2(0(0(1(0(2(2(1(0(1(1(0(0(2(0(2(2(1(z0)))))))))))))))))))), 0'(2(0(0(1(0(2(2(1(0(1(1(0(0(2(0(2(2(1(z0))))))))))))))))))), 0'(0(1(0(2(2(1(0(1(1(0(0(2(0(2(2(1(z0))))))))))))))))), 0'(1(0(2(2(1(0(1(1(0(0(2(0(2(2(1(z0)))))))))))))))), 1'(0(2(2(1(0(1(1(0(0(2(0(2(2(1(z0))))))))))))))), 0'(2(2(1(0(1(1(0(0(2(0(2(2(1(z0)))))))))))))), 1'(0(1(1(0(0(2(0(2(2(1(z0))))))))))), 0'(1(1(0(0(2(0(2(2(1(z0)))))))))), 1'(1(0(0(2(0(2(2(1(z0))))))))), 1'(0(0(2(0(2(2(1(z0)))))))), 0'(0(2(0(2(2(1(z0))))))), 0'(2(0(2(2(1(z0)))))), 0'(2(2(1(z0)))), 1'(z0))
   0'(c_0(2(2(2(c_0(c_1(c_0(c_1(c_1(c_1(c_0(c_1(c_0(c_0(c_0(c_1(c_1(2(c_0(z0)))))))))))))))))))) -> c30(0'(2(0(2(2(2(2(0(2(2(1(0(0(0(0(0(0(2(0(0(z0)))))))))))))))))))), 0'(2(2(2(2(0(2(2(1(0(0(0(0(0(0(2(0(0(z0)))))))))))))))))), 0'(2(2(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)))), 0'(0(z0)), 0'(z0))
   0'(2(c_0(2(c_1(2(c_1(2(2(c_0(2(c_1(c_1(c_1(2(c_1(c_1(c_1(c_1(c_1(z0)))))))))))))))))))) -> c32(0'(1(1(1(0(2(1(0(1(2(1(0(0(0(2(1(1(2(0(1(z0)))))))))))))))))))), 1'(1(1(0(2(1(0(1(2(1(0(0(0(2(1(1(2(0(1(z0))))))))))))))))))), 1'(1(0(2(1(0(1(2(1(0(0(0(2(1(1(2(0(1(z0)))))))))))))))))), 1'(0(2(1(0(1(2(1(0(0(0(2(1(1(2(0(1(z0))))))))))))))))), 0'(2(1(0(1(2(1(0(0(0(2(1(1(2(0(1(z0)))))))))))))))), 1'(0(1(2(1(0(0(0(2(1(1(2(0(1(z0)))))))))))))), 0'(1(2(1(0(0(0(2(1(1(2(0(1(z0))))))))))))), 1'(2(1(0(0(0(2(1(1(2(0(1(z0)))))))))))), 1'(0(0(0(2(1(1(2(0(1(z0)))))))))), 0'(0(0(2(1(1(2(0(1(z0))))))))), 0'(0(2(1(1(2(0(1(z0)))))))), 0'(2(1(1(2(0(1(z0))))))), 1'(1(2(0(1(z0))))), 1'(2(0(1(z0)))), 0'(1(z0)), 1'(z0))
   0'(2(c_1(c_0(c_1(2(2(c_0(c_0(c_1(2(c_0(2(2(2(2(2(2(c_1(c_1(z0)))))))))))))))))))) -> c33(0'(0(0(1(2(2(0(0(0(1(2(0(0(0(2(2(0(1(0(2(z0)))))))))))))))))))), 0'(0(1(2(2(0(0(0(1(2(0(0(0(2(2(0(1(0(2(z0))))))))))))))))))), 0'(1(2(2(0(0(0(1(2(0(0(0(2(2(0(1(0(2(z0)))))))))))))))))), 1'(2(2(0(0(0(1(2(0(0(0(2(2(0(1(0(2(z0))))))))))))))))), 0'(0(0(1(2(0(0(0(2(2(0(1(0(2(z0)))))))))))))), 0'(0(1(2(0(0(0(2(2(0(1(0(2(z0))))))))))))), 0'(1(2(0(0(0(2(2(0(1(0(2(z0)))))))))))), 1'(2(0(0(0(2(2(0(1(0(2(z0))))))))))), 0'(0(0(2(2(0(1(0(2(z0))))))))), 0'(0(2(2(0(1(0(2(z0)))))))), 0'(2(2(0(1(0(2(z0))))))), 0'(1(0(2(z0)))), 1'(0(2(z0))), 0'(2(z0)))
   0'(2(2(c_1(c_1(2(c_0(c_1(c_0(c_1(c_0(2(c_0(c_1(c_0(c_1(c_0(2(c_1(c_1(z0)))))))))))))))))))) -> c34(0'(1(1(0(0(1(1(0(0(2(2(1(1(2(2(0(0(0(2(0(z0)))))))))))))))))))), 1'(1(0(0(1(1(0(0(2(2(1(1(2(2(0(0(0(2(0(z0))))))))))))))))))), 1'(0(0(1(1(0(0(2(2(1(1(2(2(0(0(0(2(0(z0)))))))))))))))))), 0'(0(1(1(0(0(2(2(1(1(2(2(0(0(0(2(0(z0))))))))))))))))), 0'(1(1(0(0(2(2(1(1(2(2(0(0(0(2(0(z0)))))))))))))))), 1'(1(0(0(2(2(1(1(2(2(0(0(0(2(0(z0))))))))))))))), 1'(0(0(2(2(1(1(2(2(0(0(0(2(0(z0)))))))))))))), 0'(0(2(2(1(1(2(2(0(0(0(2(0(z0))))))))))))), 0'(2(2(1(1(2(2(0(0(0(2(0(z0)))))))))))), 1'(1(2(2(0(0(0(2(0(z0))))))))), 1'(2(2(0(0(0(2(0(z0)))))))), 0'(0(0(2(0(z0))))), 0'(0(2(0(z0)))), 0'(2(0(z0))), 0'(z0))
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   0'(c_1(2(c_0(c_0(2(c_1(c_1(c_0(2(c_1(c_0(c_1(c_1(c_1(c_0(c_1(c_1(c_0(c_0(z0)))))))))))))))))))) -> c84(0'(0(0(2(0(1(1(2(2(0(2(0(0(2(1(0(0(2(1(1(z0)))))))))))))))))))), 0'(0(2(0(1(1(2(2(0(2(0(0(2(1(0(0(2(1(1(z0))))))))))))))))))), 0'(2(0(1(1(2(2(0(2(0(0(2(1(0(0(2(1(1(z0)))))))))))))))))), 0'(1(1(2(2(0(2(0(0(2(1(0(0(2(1(1(z0)))))))))))))))), 1'(1(2(2(0(2(0(0(2(1(0(0(2(1(1(z0))))))))))))))), 1'(2(2(0(2(0(0(2(1(0(0(2(1(1(z0)))))))))))))), 0'(2(0(0(2(1(0(0(2(1(1(z0))))))))))), 0'(0(2(1(0(0(2(1(1(z0))))))))), 0'(2(1(0(0(2(1(1(z0)))))))), 1'(0(0(2(1(1(z0)))))), 0'(0(2(1(1(z0))))), 0'(2(1(1(z0)))), 1'(1(z0)), 1'(z0))
   0'(c_0(c_1(c_0(2(2(2(2(c_1(c_0(2(c_1(c_0(2(2(c_0(c_1(c_1(2(c_1(z0)))))))))))))))))))) -> c85(0'(0(1(0(0(0(0(2(2(2(2(0(0(0(1(0(0(2(1(1(z0)))))))))))))))))))), 0'(1(0(0(0(0(2(2(2(2(0(0(0(1(0(0(2(1(1(z0))))))))))))))))))), 1'(0(0(0(0(2(2(2(2(0(0(0(1(0(0(2(1(1(z0)))))))))))))))))), 0'(0(0(0(2(2(2(2(0(0(0(1(0(0(2(1(1(z0))))))))))))))))), 0'(0(0(2(2(2(2(0(0(0(1(0(0(2(1(1(z0)))))))))))))))), 0'(0(2(2(2(2(0(0(0(1(0(0(2(1(1(z0))))))))))))))), 0'(2(2(2(2(0(0(0(1(0(0(2(1(1(z0)))))))))))))), 0'(0(0(1(0(0(2(1(1(z0))))))))), 0'(0(1(0(0(2(1(1(z0)))))))), 0'(1(0(0(2(1(1(z0))))))), 1'(0(0(2(1(1(z0)))))), 0'(0(2(1(1(z0))))), 0'(2(1(1(z0)))), 1'(1(z0)), 1'(z0))
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   0'(c_0(c_1(2(c_0(c_1(2(c_0(c_1(c_1(c_1(c_0(2(2(c_1(c_0(2(c_1(c_1(2(z0)))))))))))))))))))) -> c89(0'(1(2(2(0(2(2(2(1(0(1(2(2(1(0(0(1(1(1(2(z0)))))))))))))))))))), 1'(2(2(0(2(2(2(1(0(1(2(2(1(0(0(1(1(1(2(z0))))))))))))))))))), 0'(2(2(2(1(0(1(2(2(1(0(0(1(1(1(2(z0)))))))))))))))), 1'(0(1(2(2(1(0(0(1(1(1(2(z0)))))))))))), 0'(1(2(2(1(0(0(1(1(1(2(z0))))))))))), 1'(2(2(1(0(0(1(1(1(2(z0)))))))))), 1'(0(0(1(1(1(2(z0))))))), 0'(0(1(1(1(2(z0)))))), 0'(1(1(1(2(z0))))), 1'(1(1(2(z0)))), 1'(1(2(z0))), 1'(2(z0)))
   0'(c_0(c_1(2(2(c_1(c_1(c_0(2(2(2(c_0(c_1(c_1(c_1(c_1(c_0(c_1(2(c_1(z0)))))))))))))))))))) -> c90(0'(1(2(2(0(1(1(1(2(0(2(0(0(1(2(0(2(1(2(0(z0)))))))))))))))))))), 1'(2(2(0(1(1(1(2(0(2(0(0(1(2(0(2(1(2(0(z0))))))))))))))))))), 0'(1(1(1(2(0(2(0(0(1(2(0(2(1(2(0(z0)))))))))))))))), 1'(1(1(2(0(2(0(0(1(2(0(2(1(2(0(z0))))))))))))))), 1'(1(2(0(2(0(0(1(2(0(2(1(2(0(z0)))))))))))))), 1'(2(0(2(0(0(1(2(0(2(1(2(0(z0))))))))))))), 0'(2(0(0(1(2(0(2(1(2(0(z0))))))))))), 0'(0(1(2(0(2(1(2(0(z0))))))))), 0'(1(2(0(2(1(2(0(z0)))))))), 1'(2(0(2(1(2(0(z0))))))), 0'(2(1(2(0(z0))))), 1'(2(0(z0))), 0'(z0))
   0'(c_1(c_0(c_1(c_0(c_1(c_1(c_0(c_0(c_0(c_1(c_0(2(c_1(c_1(2(c_0(c_1(c_0(c_1(z0)))))))))))))))))))) -> c93(0'(0(2(1(1(0(0(2(0(2(1(0(1(1(0(2(2(0(1(2(z0)))))))))))))))))))), 0'(2(1(1(0(0(2(0(2(1(0(1(1(0(2(2(0(1(2(z0))))))))))))))))))), 1'(1(0(0(2(0(2(1(0(1(1(0(2(2(0(1(2(z0))))))))))))))))), 1'(0(0(2(0(2(1(0(1(1(0(2(2(0(1(2(z0)))))))))))))))), 0'(0(2(0(2(1(0(1(1(0(2(2(0(1(2(z0))))))))))))))), 0'(2(0(2(1(0(1(1(0(2(2(0(1(2(z0)))))))))))))), 0'(2(1(0(1(1(0(2(2(0(1(2(z0)))))))))))), 1'(0(1(1(0(2(2(0(1(2(z0)))))))))), 0'(1(1(0(2(2(0(1(2(z0))))))))), 1'(1(0(2(2(0(1(2(z0)))))))), 1'(0(2(2(0(1(2(z0))))))), 0'(2(2(0(1(2(z0)))))), 0'(1(2(z0))), 1'(2(z0)))
   0'(c_0(c_1(2(2(c_0(c_1(c_1(2(c_0(c_0(2(2(c_1(c_0(2(c_1(2(c_1(c_0(z0)))))))))))))))))))) -> c94(0'(2(2(0(2(0(2(1(0(2(0(0(2(2(1(0(0(0(2(0(z0)))))))))))))))))))), 0'(2(0(2(1(0(2(0(0(2(2(1(0(0(0(2(0(z0))))))))))))))))), 0'(2(1(0(2(0(0(2(2(1(0(0(0(2(0(z0))))))))))))))), 1'(0(2(0(0(2(2(1(0(0(0(2(0(z0))))))))))))), 0'(2(0(0(2(2(1(0(0(0(2(0(z0)))))))))))), 0'(0(2(2(1(0(0(0(2(0(z0)))))))))), 0'(2(2(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))), 0'(z0))
   0'(c_0(c_0(2(2(c_1(c_1(2(2(c_0(c_0(2(c_1(2(c_0(c_1(c_1(c_0(2(2(z0)))))))))))))))))))) -> c95(0'(2(2(2(1(0(0(2(1(2(1(2(1(2(1(1(1(2(0(2(z0)))))))))))))))))))), 1'(0(0(2(1(2(1(2(1(2(1(1(1(2(0(2(z0)))))))))))))))), 0'(0(2(1(2(1(2(1(2(1(1(1(2(0(2(z0))))))))))))))), 0'(2(1(2(1(2(1(2(1(1(1(2(0(2(z0)))))))))))))), 1'(2(1(2(1(2(1(1(1(2(0(2(z0)))))))))))), 1'(2(1(2(1(1(1(2(0(2(z0)))))))))), 1'(2(1(1(1(2(0(2(z0)))))))), 1'(1(1(2(0(2(z0)))))), 1'(1(2(0(2(z0))))), 1'(2(0(2(z0)))), 0'(2(z0)))
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   0'(c_0(c_1(c_0(2(c_1(2(2(2(2(c_0(c_1(2(c_0(c_1(c_1(2(2(c_0(2(z0)))))))))))))))))))) -> c103(0'(0(2(1(1(0(0(2(2(2(0(1(2(2(0(1(2(2(0(2(z0)))))))))))))))))))), 0'(2(1(1(0(0(2(2(2(0(1(2(2(0(1(2(2(0(2(z0))))))))))))))))))), 1'(1(0(0(2(2(2(0(1(2(2(0(1(2(2(0(2(z0))))))))))))))))), 1'(0(0(2(2(2(0(1(2(2(0(1(2(2(0(2(z0)))))))))))))))), 0'(0(2(2(2(0(1(2(2(0(1(2(2(0(2(z0))))))))))))))), 0'(2(2(2(0(1(2(2(0(1(2(2(0(2(z0)))))))))))))), 0'(1(2(2(0(1(2(2(0(2(z0)))))))))), 1'(2(2(0(1(2(2(0(2(z0))))))))), 0'(1(2(2(0(2(z0)))))), 1'(2(2(0(2(z0))))), 0'(2(z0)))
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   1'(2(2(c_0(2(c_0(2(c_1(2(c_1(2(c_1(c_0(c_0(c_1(c_0(c_0(2(c_0(c_1(z0)))))))))))))))))))) -> c106(1'(0(1(2(0(1(0(0(1(0(0(0(2(1(0(0(1(0(0(2(z0)))))))))))))))))))), 0'(1(2(0(1(0(0(1(0(0(0(2(1(0(0(1(0(0(2(z0))))))))))))))))))), 1'(2(0(1(0(0(1(0(0(0(2(1(0(0(1(0(0(2(z0)))))))))))))))))), 0'(1(0(0(1(0(0(0(2(1(0(0(1(0(0(2(z0)))))))))))))))), 1'(0(0(1(0(0(0(2(1(0(0(1(0(0(2(z0))))))))))))))), 0'(0(1(0(0(0(2(1(0(0(1(0(0(2(z0)))))))))))))), 0'(1(0(0(0(2(1(0(0(1(0(0(2(z0))))))))))))), 1'(0(0(0(2(1(0(0(1(0(0(2(z0)))))))))))), 0'(0(0(2(1(0(0(1(0(0(2(z0))))))))))), 0'(0(2(1(0(0(1(0(0(2(z0)))))))))), 0'(2(1(0(0(1(0(0(2(z0))))))))), 1'(0(0(1(0(0(2(z0))))))), 0'(0(1(0(0(2(z0)))))), 0'(1(0(0(2(z0))))), 1'(0(0(2(z0)))), 0'(0(2(z0))), 0'(2(z0)))
   0'(2(c_1(c_1(c_1(c_0(2(c_1(c_1(c_0(c_1(c_0(2(2(c_0(c_0(2(c_0(2(c_1(z0)))))))))))))))))))) -> c9(0'(1(0(1(2(2(2(1(1(0(2(2(1(2(0(0(0(0(2(1(z0)))))))))))))))))))), 1'(0(1(2(2(2(1(1(0(2(2(1(2(0(0(0(0(2(1(z0))))))))))))))))))), 0'(1(2(2(2(1(1(0(2(2(1(2(0(0(0(0(2(1(z0)))))))))))))))))), 1'(1(0(2(2(1(2(0(0(0(0(2(1(z0))))))))))))), 1'(0(2(2(1(2(0(0(0(0(2(1(z0)))))))))))), 0'(2(2(1(2(0(0(0(0(2(1(z0))))))))))), 1'(2(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))), 1'(z0))
   0'(c_0(2(c_0(2(c_1(c_1(2(c_1(c_1(c_1(c_1(c_1(c_0(c_1(c_1(c_1(2(2(c_1(z0)))))))))))))))))))) -> c21(0'(2(0(0(2(1(1(2(2(0(2(0(1(2(2(2(1(1(1(2(z0)))))))))))))))))))), 0'(0(2(1(1(2(2(0(2(0(1(2(2(2(1(1(1(2(z0)))))))))))))))))), 0'(2(1(1(2(2(0(2(0(1(2(2(2(1(1(1(2(z0))))))))))))))))), 1'(1(2(2(0(2(0(1(2(2(2(1(1(1(2(z0))))))))))))))), 1'(2(2(0(2(0(1(2(2(2(1(1(1(2(z0)))))))))))))), 0'(2(0(1(2(2(2(1(1(1(2(z0))))))))))), 0'(1(2(2(2(1(1(1(2(z0))))))))), 1'(1(1(2(z0)))), 1'(1(2(z0))), 1'(2(z0)))
   0'(2(c_0(c_1(c_1(c_1(c_0(c_1(2(2(c_0(2(c_0(2(c_0(2(c_1(2(c_0(c_1(z0)))))))))))))))))))) -> c22(0'(2(2(0(1(2(2(2(2(1(0(2(1(2(0(0(2(2(2(1(z0)))))))))))))))))))), 0'(1(2(2(2(2(1(0(2(1(2(0(0(2(2(2(1(z0))))))))))))))))), 1'(0(2(1(2(0(0(2(2(2(1(z0))))))))))), 0'(2(1(2(0(0(2(2(2(1(z0)))))))))), 1'(2(0(0(2(2(2(1(z0)))))))), 0'(0(2(2(2(1(z0)))))), 0'(2(2(2(1(z0))))), 1'(z0))
   0'(2(c_0(2(c_1(c_0(c_0(c_1(2(c_0(2(c_0(c_1(c_0(c_1(c_1(c_1(2(2(c_1(z0)))))))))))))))))))) -> c31(0'(0(1(0(1(0(1(1(2(1(0(0(0(1(2(2(2(0(1(0(z0)))))))))))))))))))), 0'(1(0(1(0(1(1(2(1(0(0(0(1(2(2(2(0(1(0(z0))))))))))))))))))), 1'(0(1(0(1(1(2(1(0(0(0(1(2(2(2(0(1(0(z0)))))))))))))))))), 0'(1(0(1(1(2(1(0(0(0(1(2(2(2(0(1(0(z0))))))))))))))))), 1'(0(1(1(2(1(0(0(0(1(2(2(2(0(1(0(z0)))))))))))))))), 0'(1(1(2(1(0(0(0(1(2(2(2(0(1(0(z0))))))))))))))), 1'(1(2(1(0(0(0(1(2(2(2(0(1(0(z0)))))))))))))), 1'(2(1(0(0(0(1(2(2(2(0(1(0(z0))))))))))))), 1'(0(0(0(1(2(2(2(0(1(0(z0))))))))))), 0'(0(0(1(2(2(2(0(1(0(z0)))))))))), 0'(0(1(2(2(2(0(1(0(z0))))))))), 0'(1(2(2(2(0(1(0(z0)))))))), 0'(1(0(z0))), 1'(0(z0)), 0'(z0))
   0'(c_1(c_1(2(c_0(c_1(c_0(c_0(c_1(2(c_0(2(c_1(c_0(c_0(c_0(c_0(2(c_0(c_1(z0)))))))))))))))))))) -> c40(0'(0(2(1(2(2(2(1(2(1(0(0(0(2(2(1(0(1(2(0(z0)))))))))))))))))))), 0'(2(1(2(2(2(1(2(1(0(0(0(2(2(1(0(1(2(0(z0))))))))))))))))))), 1'(2(1(0(0(0(2(2(1(0(1(2(0(z0))))))))))))), 1'(0(0(0(2(2(1(0(1(2(0(z0))))))))))), 0'(0(0(2(2(1(0(1(2(0(z0)))))))))), 0'(0(2(2(1(0(1(2(0(z0))))))))), 0'(2(2(1(0(1(2(0(z0)))))))), 1'(0(1(2(0(z0))))), 0'(1(2(0(z0)))), 1'(2(0(z0))), 0'(z0))
   0'(c_1(c_0(2(2(2(c_1(2(c_1(c_1(c_1(2(c_1(c_0(2(c_1(c_1(c_1(c_0(c_1(z0)))))))))))))))))))) -> c61(0'(0(1(2(2(2(1(0(0(1(1(2(1(1(2(0(0(1(2(0(z0)))))))))))))))))))), 0'(1(2(2(2(1(0(0(1(1(2(1(1(2(0(0(1(2(0(z0))))))))))))))))))), 1'(0(0(1(1(2(1(1(2(0(0(1(2(0(z0)))))))))))))), 0'(0(1(1(2(1(1(2(0(0(1(2(0(z0))))))))))))), 0'(1(1(2(1(1(2(0(0(1(2(0(z0)))))))))))), 1'(1(2(1(1(2(0(0(1(2(0(z0))))))))))), 1'(2(1(1(2(0(0(1(2(0(z0)))))))))), 1'(1(2(0(0(1(2(0(z0)))))))), 1'(2(0(0(1(2(0(z0))))))), 0'(0(1(2(0(z0))))), 0'(1(2(0(z0)))), 1'(2(0(z0))), 0'(z0))
   0'(c_1(c_1(c_0(2(c_1(c_1(c_0(c_0(c_1(c_1(c_1(2(2(2(c_0(2(c_0(c_0(2(z0)))))))))))))))))))) -> c63(0'(1(2(1(0(2(1(0(1(2(2(2(0(0(2(0(2(2(1(2(z0)))))))))))))))))))), 1'(2(1(0(2(1(0(1(2(2(2(0(0(2(0(2(2(1(2(z0))))))))))))))))))), 1'(0(2(1(0(1(2(2(2(0(0(2(0(2(2(1(2(z0))))))))))))))))), 0'(2(1(0(1(2(2(2(0(0(2(0(2(2(1(2(z0)))))))))))))))), 1'(0(1(2(2(2(0(0(2(0(2(2(1(2(z0)))))))))))))), 0'(1(2(2(2(0(0(2(0(2(2(1(2(z0))))))))))))), 0'(0(2(0(2(2(1(2(z0)))))))), 0'(2(0(2(2(1(2(z0))))))), 0'(2(2(1(2(z0))))), 1'(2(z0)))
   0'(c_1(c_1(c_1(c_1(2(c_0(c_0(c_0(2(2(2(2(c_1(c_0(2(2(2(c_0(c_1(z0)))))))))))))))))))) -> c65(0'(2(0(0(0(1(2(0(1(2(2(2(1(2(1(1(1(2(1(2(z0)))))))))))))))))))), 0'(0(0(1(2(0(1(2(2(2(1(2(1(1(1(2(1(2(z0)))))))))))))))))), 0'(0(1(2(0(1(2(2(2(1(2(1(1(1(2(1(2(z0))))))))))))))))), 0'(1(2(0(1(2(2(2(1(2(1(1(1(2(1(2(z0)))))))))))))))), 1'(2(0(1(2(2(2(1(2(1(1(1(2(1(2(z0))))))))))))))), 0'(1(2(2(2(1(2(1(1(1(2(1(2(z0))))))))))))), 1'(2(1(1(1(2(1(2(z0)))))))), 1'(1(1(2(1(2(z0)))))), 1'(1(2(1(2(z0))))), 1'(2(1(2(z0)))), 1'(2(z0)))
   0'(2(c_1(c_1(c_1(c_0(c_0(c_1(2(c_1(2(c_1(c_1(2(c_0(2(c_1(c_0(c_1(2(z0)))))))))))))))))))) -> c74(0'(1(0(1(0(2(0(0(0(1(1(1(2(0(0(0(1(2(2(2(z0)))))))))))))))))))), 1'(0(1(0(2(0(0(0(1(1(1(2(0(0(0(1(2(2(2(z0))))))))))))))))))), 0'(1(0(2(0(0(0(1(1(1(2(0(0(0(1(2(2(2(z0)))))))))))))))))), 1'(0(2(0(0(0(1(1(1(2(0(0(0(1(2(2(2(z0))))))))))))))))), 0'(2(0(0(0(1(1(1(2(0(0(0(1(2(2(2(z0)))))))))))))))), 0'(0(0(1(1(1(2(0(0(0(1(2(2(2(z0)))))))))))))), 0'(0(1(1(1(2(0(0(0(1(2(2(2(z0))))))))))))), 0'(1(1(1(2(0(0(0(1(2(2(2(z0)))))))))))), 1'(1(1(2(0(0(0(1(2(2(2(z0))))))))))), 1'(1(2(0(0(0(1(2(2(2(z0)))))))))), 1'(2(0(0(0(1(2(2(2(z0))))))))), 0'(0(0(1(2(2(2(z0))))))), 0'(0(1(2(2(2(z0)))))), 0'(1(2(2(2(z0))))))
   0'(2(2(c_1(c_1(c_1(c_1(c_0(c_0(c_1(c_0(c_1(c_0(2(2(c_1(c_1(2(2(c_1(z0)))))))))))))))))))) -> c75(0'(2(2(2(0(2(2(1(1(2(2(2(2(0(2(0(0(2(0(2(z0)))))))))))))))))))), 0'(2(2(1(1(2(2(2(2(0(2(0(0(2(0(2(z0)))))))))))))))), 1'(1(2(2(2(2(0(2(0(0(2(0(2(z0))))))))))))), 0'(2(0(0(2(0(2(z0))))))), 0'(0(2(0(2(z0))))), 0'(2(0(2(z0)))), 0'(2(z0)))
   0'(c_1(c_0(c_1(c_1(2(2(c_0(c_0(c_0(2(2(2(c_1(c_1(c_0(c_1(c_1(c_1(c_1(z0)))))))))))))))))))) -> c81(0'(0(2(2(2(2(2(2(1(1(0(1(2(2(0(1(2(0(2(1(z0)))))))))))))))))))), 1'(1(0(1(2(2(0(1(2(0(2(1(z0)))))))))))), 1'(0(1(2(2(0(1(2(0(2(1(z0))))))))))), 0'(1(2(2(0(1(2(0(2(1(z0)))))))))), 1'(2(2(0(1(2(0(2(1(z0))))))))), 0'(1(2(0(2(1(z0)))))), 1'(2(0(2(1(z0))))), 0'(2(1(z0))), 1'(z0))
   0'(c_0(c_1(c_1(c_0(2(2(c_1(c_1(c_1(c_1(c_1(2(c_0(2(c_1(c_0(2(2(c_1(z0)))))))))))))))))))) -> c82(0'(2(0(1(1(0(1(2(2(2(0(0(2(2(2(0(2(0(0(0(z0)))))))))))))))))))), 0'(1(1(0(1(2(2(2(0(0(2(2(2(0(2(0(0(0(z0)))))))))))))))))), 1'(1(0(1(2(2(2(0(0(2(2(2(0(2(0(0(0(z0))))))))))))))))), 1'(0(1(2(2(2(0(0(2(2(2(0(2(0(0(0(z0)))))))))))))))), 0'(1(2(2(2(0(0(2(2(2(0(2(0(0(0(z0))))))))))))))), 0'(0(2(2(2(0(2(0(0(0(z0)))))))))), 0'(2(2(2(0(2(0(0(0(z0))))))))), 0'(2(0(0(0(z0))))), 0'(0(0(z0))), 0'(0(z0)), 0'(z0))
   0'(c_1(c_1(c_0(c_1(c_1(c_1(c_1(2(c_0(2(c_0(2(2(2(c_0(c_0(c_0(2(c_1(z0)))))))))))))))))))) -> c86(0'(1(0(1(2(2(2(0(2(2(1(1(2(2(2(0(0(0(1(0(z0)))))))))))))))))))), 1'(0(1(2(2(2(0(2(2(1(1(2(2(2(0(0(0(1(0(z0))))))))))))))))))), 0'(1(2(2(2(0(2(2(1(1(2(2(2(0(0(0(1(0(z0)))))))))))))))))), 0'(2(2(1(1(2(2(2(0(0(0(1(0(z0))))))))))))), 1'(1(2(2(2(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_1(c_0(c_1(2(2(2(c_1(c_1(2(c_1(2(c_1(c_0(2(c_0(c_1(2(c_0(z0)))))))))))))))))))) -> c87(0'(2(0(1(1(2(2(2(1(0(0(2(1(0(0(0(0(2(0(2(z0)))))))))))))))))))), 0'(1(1(2(2(2(1(0(0(2(1(0(0(0(0(2(0(2(z0)))))))))))))))))), 1'(1(2(2(2(1(0(0(2(1(0(0(0(0(2(0(2(z0))))))))))))))))), 1'(0(0(2(1(0(0(0(0(2(0(2(z0)))))))))))), 0'(0(2(1(0(0(0(0(2(0(2(z0))))))))))), 0'(2(1(0(0(0(0(2(0(2(z0)))))))))), 1'(0(0(0(0(2(0(2(z0)))))))), 0'(0(0(0(2(0(2(z0))))))), 0'(0(0(2(0(2(z0)))))), 0'(0(2(0(2(z0))))), 0'(2(0(2(z0)))), 0'(2(z0)))
   0'(c_1(c_1(2(c_0(2(c_0(2(2(c_1(c_1(2(c_0(c_1(2(2(c_0(c_1(c_0(c_0(z0)))))))))))))))))))) -> c91(0'(1(2(0(0(0(2(1(2(0(1(2(2(2(2(0(1(1(0(1(z0)))))))))))))))))))), 1'(2(0(0(0(2(1(2(0(1(2(2(2(2(0(1(1(0(1(z0))))))))))))))))))), 0'(0(0(2(1(2(0(1(2(2(2(2(0(1(1(0(1(z0))))))))))))))))), 0'(0(2(1(2(0(1(2(2(2(2(0(1(1(0(1(z0)))))))))))))))), 0'(2(1(2(0(1(2(2(2(2(0(1(1(0(1(z0))))))))))))))), 1'(2(0(1(2(2(2(2(0(1(1(0(1(z0))))))))))))), 0'(1(2(2(2(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))
   0'(2(c_1(c_1(2(c_0(2(2(2(c_0(c_1(2(c_0(2(c_0(2(2(c_0(c_0(c_1(z0)))))))))))))))))))) -> c92(0'(0(2(1(2(0(0(0(2(0(1(2(2(2(1(0(1(1(1(0(z0)))))))))))))))))))), 0'(2(1(2(0(0(0(2(0(1(2(2(2(1(0(1(1(1(0(z0))))))))))))))))))), 1'(2(0(0(0(2(0(1(2(2(2(1(0(1(1(1(0(z0))))))))))))))))), 0'(0(0(2(0(1(2(2(2(1(0(1(1(1(0(z0))))))))))))))), 0'(0(2(0(1(2(2(2(1(0(1(1(1(0(z0)))))))))))))), 0'(2(0(1(2(2(2(1(0(1(1(1(0(z0))))))))))))), 0'(1(2(2(2(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))
   0'(c_1(2(c_1(c_0(c_1(2(2(c_1(c_1(c_0(c_0(c_1(c_1(2(2(c_1(c_0(c_1(c_1(z0)))))))))))))))))))) -> c96(0'(2(2(2(0(2(0(2(0(1(2(1(2(2(2(1(0(0(1(0(z0)))))))))))))))))))), 0'(2(0(2(0(1(2(1(2(2(2(1(0(0(1(0(z0)))))))))))))))), 0'(2(0(1(2(1(2(2(2(1(0(0(1(0(z0)))))))))))))), 0'(1(2(1(2(2(2(1(0(0(1(0(z0)))))))))))), 1'(2(1(2(2(2(1(0(0(1(0(z0))))))))))), 1'(0(0(1(0(z0))))), 0'(0(1(0(z0)))), 0'(1(0(z0))), 1'(0(z0)), 0'(z0))
   0'(2(2(c_1(c_1(2(2(c_1(c_0(2(c_1(2(c_1(c_1(2(2(2(c_0(2(c_0(z0)))))))))))))))))))) -> c97(0'(2(1(2(2(2(1(0(0(1(0(0(0(1(2(1(1(2(2(1(z0)))))))))))))))))))), 1'(0(0(1(0(0(0(1(2(1(1(2(2(1(z0)))))))))))))), 0'(0(1(0(0(0(1(2(1(1(2(2(1(z0))))))))))))), 0'(1(0(0(0(1(2(1(1(2(2(1(z0)))))))))))), 1'(0(0(0(1(2(1(1(2(2(1(z0))))))))))), 0'(0(0(1(2(1(1(2(2(1(z0)))))))))), 0'(0(1(2(1(1(2(2(1(z0))))))))), 0'(1(2(1(1(2(2(1(z0)))))))), 1'(2(1(1(2(2(1(z0))))))), 1'(1(2(2(1(z0))))), 1'(2(2(1(z0)))), 1'(z0))
   ENCODE_0(z0) -> c5(0'(encArg(z0)))
   ENCODE_1(z0) -> c5(1'(encArg(z0)))
   ENCARG(cons_0(2(z0))) -> c1(0'(2(encArg(z0))), ENCARG(2(z0)))
   ENCARG(cons_0(cons_0(z0))) -> c1(0'(0(encArg(z0))), ENCARG(cons_0(z0)))
   ENCARG(cons_0(cons_1(z0))) -> c1(0'(1(encArg(z0))), ENCARG(cons_1(z0)))
   ENCARG(cons_1(2(z0))) -> c2(1'(2(encArg(z0))), ENCARG(2(z0)))
   ENCARG(cons_1(cons_0(z0))) -> c2(1'(0(encArg(z0))), ENCARG(cons_0(z0)))
   ENCARG(cons_1(cons_1(z0))) -> c2(1'(1(encArg(z0))), ENCARG(cons_1(z0)))
   0'(c_0(c_1(c_0(2(2(c_1(2(c_0(c_0(c_1(c_1(2(2(2(c_1(c_1(2(c_1(c_1(x0)))))))))))))))))))) -> c7(0'(2(c_0(2(2(0(0(1(2(0(2(0(0(1(1(0(0(2(1(1(x0)))))))))))))))))))), 0'(2(2(0(0(1(2(0(2(0(0(1(1(0(0(2(1(1(x0)))))))))))))))))), 0'(0(1(2(0(2(0(0(1(1(0(0(2(1(1(x0))))))))))))))), 0'(1(2(0(2(0(0(1(1(0(0(2(1(1(x0)))))))))))))), 1'(2(0(2(0(0(1(1(0(0(2(1(1(x0))))))))))))), 0'(2(0(0(1(1(0(0(2(1(1(x0))))))))))), 0'(0(1(1(0(0(2(1(1(x0))))))))), 0'(1(1(0(0(2(1(1(x0)))))))), 1'(1(0(0(2(1(1(x0))))))), 1'(0(0(2(1(1(x0)))))), 0'(0(2(1(1(x0))))), 0'(2(1(1(x0)))), 1'(1(x0)), 1'(x0))
   0'(c_0(c_1(c_0(2(2(c_1(2(c_0(c_0(c_1(c_1(2(2(2(c_1(c_1(2(c_1(c_1(x0)))))))))))))))))))) -> c7(0'(2(0(2(2(c_0(0(1(2(0(2(0(0(1(1(0(0(2(1(1(x0)))))))))))))))))))), 0'(2(2(0(0(1(2(0(2(0(0(1(1(0(0(2(1(1(x0)))))))))))))))))), 0'(0(1(2(0(2(0(0(1(1(0(0(2(1(1(x0))))))))))))))), 0'(1(2(0(2(0(0(1(1(0(0(2(1(1(x0)))))))))))))), 1'(2(0(2(0(0(1(1(0(0(2(1(1(x0))))))))))))), 0'(2(0(0(1(1(0(0(2(1(1(x0))))))))))), 0'(0(1(1(0(0(2(1(1(x0))))))))), 0'(1(1(0(0(2(1(1(x0)))))))), 1'(1(0(0(2(1(1(x0))))))), 1'(0(0(2(1(1(x0)))))), 0'(0(2(1(1(x0))))), 0'(2(1(1(x0)))), 1'(1(x0)), 1'(x0))
   0'(c_0(c_1(c_0(2(2(c_1(2(c_0(c_0(c_1(c_1(2(2(2(c_1(c_1(2(c_1(c_1(x0)))))))))))))))))))) -> c7(0'(2(0(2(2(0(c_0(1(2(0(2(0(0(1(1(0(0(2(1(1(x0)))))))))))))))))))), 0'(2(2(0(0(1(2(0(2(0(0(1(1(0(0(2(1(1(x0)))))))))))))))))), 0'(0(1(2(0(2(0(0(1(1(0(0(2(1(1(x0))))))))))))))), 0'(1(2(0(2(0(0(1(1(0(0(2(1(1(x0)))))))))))))), 1'(2(0(2(0(0(1(1(0(0(2(1(1(x0))))))))))))), 0'(2(0(0(1(1(0(0(2(1(1(x0))))))))))), 0'(0(1(1(0(0(2(1(1(x0))))))))), 0'(1(1(0(0(2(1(1(x0)))))))), 1'(1(0(0(2(1(1(x0))))))), 1'(0(0(2(1(1(x0)))))), 0'(0(2(1(1(x0))))), 0'(2(1(1(x0)))), 1'(1(x0)), 1'(x0))
   0'(c_0(c_1(c_0(2(2(c_1(2(c_0(c_0(c_1(c_1(2(2(2(c_1(c_1(2(c_1(c_1(x0)))))))))))))))))))) -> c7(0'(2(0(2(2(0(0(c_1(2(0(2(0(0(1(1(0(0(2(1(1(x0)))))))))))))))))))), 0'(2(2(0(0(1(2(0(2(0(0(1(1(0(0(2(1(1(x0)))))))))))))))))), 0'(0(1(2(0(2(0(0(1(1(0(0(2(1(1(x0))))))))))))))), 0'(1(2(0(2(0(0(1(1(0(0(2(1(1(x0)))))))))))))), 1'(2(0(2(0(0(1(1(0(0(2(1(1(x0))))))))))))), 0'(2(0(0(1(1(0(0(2(1(1(x0))))))))))), 0'(0(1(1(0(0(2(1(1(x0))))))))), 0'(1(1(0(0(2(1(1(x0)))))))), 1'(1(0(0(2(1(1(x0))))))), 1'(0(0(2(1(1(x0)))))), 0'(0(2(1(1(x0))))), 0'(2(1(1(x0)))), 1'(1(x0)), 1'(x0))
   0'(c_0(c_1(c_0(2(2(c_1(2(c_0(c_0(c_1(c_1(2(2(2(c_1(c_1(2(c_1(c_1(x0)))))))))))))))))))) -> c7(0'(2(0(2(2(0(0(1(2(c_0(2(0(0(1(1(0(0(2(1(1(x0)))))))))))))))))))), 0'(2(2(0(0(1(2(0(2(0(0(1(1(0(0(2(1(1(x0)))))))))))))))))), 0'(0(1(2(0(2(0(0(1(1(0(0(2(1(1(x0))))))))))))))), 0'(1(2(0(2(0(0(1(1(0(0(2(1(1(x0)))))))))))))), 1'(2(0(2(0(0(1(1(0(0(2(1(1(x0))))))))))))), 0'(2(0(0(1(1(0(0(2(1(1(x0))))))))))), 0'(0(1(1(0(0(2(1(1(x0))))))))), 0'(1(1(0(0(2(1(1(x0)))))))), 1'(1(0(0(2(1(1(x0))))))), 1'(0(0(2(1(1(x0)))))), 0'(0(2(1(1(x0))))), 0'(2(1(1(x0)))), 1'(1(x0)), 1'(x0))
   0'(c_0(c_1(c_0(2(2(c_1(2(c_0(c_0(c_1(c_1(2(2(2(c_1(c_1(2(c_1(c_1(x0)))))))))))))))))))) -> c7(0'(2(0(2(2(0(0(1(2(0(2(c_0(0(1(1(0(0(2(1(1(x0)))))))))))))))))))), 0'(2(2(0(0(1(2(0(2(0(0(1(1(0(0(2(1(1(x0)))))))))))))))))), 0'(0(1(2(0(2(0(0(1(1(0(0(2(1(1(x0))))))))))))))), 0'(1(2(0(2(0(0(1(1(0(0(2(1(1(x0)))))))))))))), 1'(2(0(2(0(0(1(1(0(0(2(1(1(x0))))))))))))), 0'(2(0(0(1(1(0(0(2(1(1(x0))))))))))), 0'(0(1(1(0(0(2(1(1(x0))))))))), 0'(1(1(0(0(2(1(1(x0)))))))), 1'(1(0(0(2(1(1(x0))))))), 1'(0(0(2(1(1(x0)))))), 0'(0(2(1(1(x0))))), 0'(2(1(1(x0)))), 1'(1(x0)), 1'(x0))
   0'(c_0(c_1(c_0(2(2(c_1(2(c_0(c_0(c_1(c_1(2(2(2(c_1(c_1(2(c_1(c_1(x0)))))))))))))))))))) -> c7(0'(2(0(2(2(0(0(1(2(0(2(0(c_0(1(1(0(0(2(1(1(x0)))))))))))))))))))), 0'(2(2(0(0(1(2(0(2(0(0(1(1(0(0(2(1(1(x0)))))))))))))))))), 0'(0(1(2(0(2(0(0(1(1(0(0(2(1(1(x0))))))))))))))), 0'(1(2(0(2(0(0(1(1(0(0(2(1(1(x0)))))))))))))), 1'(2(0(2(0(0(1(1(0(0(2(1(1(x0))))))))))))), 0'(2(0(0(1(1(0(0(2(1(1(x0))))))))))), 0'(0(1(1(0(0(2(1(1(x0))))))))), 0'(1(1(0(0(2(1(1(x0)))))))), 1'(1(0(0(2(1(1(x0))))))), 1'(0(0(2(1(1(x0)))))), 0'(0(2(1(1(x0))))), 0'(2(1(1(x0)))), 1'(1(x0)), 1'(x0))
   0'(c_0(c_1(c_0(2(2(c_1(2(c_0(c_0(c_1(c_1(2(2(2(c_1(c_1(2(c_1(c_1(x0)))))))))))))))))))) -> c7(0'(2(0(2(2(0(0(1(2(0(2(0(0(c_1(1(0(0(2(1(1(x0)))))))))))))))))))), 0'(2(2(0(0(1(2(0(2(0(0(1(1(0(0(2(1(1(x0)))))))))))))))))), 0'(0(1(2(0(2(0(0(1(1(0(0(2(1(1(x0))))))))))))))), 0'(1(2(0(2(0(0(1(1(0(0(2(1(1(x0)))))))))))))), 1'(2(0(2(0(0(1(1(0(0(2(1(1(x0))))))))))))), 0'(2(0(0(1(1(0(0(2(1(1(x0))))))))))), 0'(0(1(1(0(0(2(1(1(x0))))))))), 0'(1(1(0(0(2(1(1(x0)))))))), 1'(1(0(0(2(1(1(x0))))))), 1'(0(0(2(1(1(x0)))))), 0'(0(2(1(1(x0))))), 0'(2(1(1(x0)))), 1'(1(x0)), 1'(x0))
   0'(c_0(c_1(c_0(2(2(c_1(2(c_0(c_0(c_1(c_1(2(2(2(c_1(c_1(2(c_1(c_1(x0)))))))))))))))))))) -> c7(0'(2(0(2(2(0(0(1(2(0(2(0(0(1(c_1(0(0(2(1(1(x0)))))))))))))))))))), 0'(2(2(0(0(1(2(0(2(0(0(1(1(0(0(2(1(1(x0)))))))))))))))))), 0'(0(1(2(0(2(0(0(1(1(0(0(2(1(1(x0))))))))))))))), 0'(1(2(0(2(0(0(1(1(0(0(2(1(1(x0)))))))))))))), 1'(2(0(2(0(0(1(1(0(0(2(1(1(x0))))))))))))), 0'(2(0(0(1(1(0(0(2(1(1(x0))))))))))), 0'(0(1(1(0(0(2(1(1(x0))))))))), 0'(1(1(0(0(2(1(1(x0)))))))), 1'(1(0(0(2(1(1(x0))))))), 1'(0(0(2(1(1(x0)))))), 0'(0(2(1(1(x0))))), 0'(2(1(1(x0)))), 1'(1(x0)), 1'(x0))
   0'(c_0(c_1(c_0(2(2(c_1(2(c_0(c_0(c_1(c_1(2(2(2(c_1(c_1(2(c_1(c_1(x0)))))))))))))))))))) -> c7(0'(2(0(2(2(0(0(1(2(0(2(0(0(1(1(c_0(0(2(1(1(x0)))))))))))))))))))), 0'(2(2(0(0(1(2(0(2(0(0(1(1(0(0(2(1(1(x0)))))))))))))))))), 0'(0(1(2(0(2(0(0(1(1(0(0(2(1(1(x0))))))))))))))), 0'(1(2(0(2(0(0(1(1(0(0(2(1(1(x0)))))))))))))), 1'(2(0(2(0(0(1(1(0(0(2(1(1(x0))))))))))))), 0'(2(0(0(1(1(0(0(2(1(1(x0))))))))))), 0'(0(1(1(0(0(2(1(1(x0))))))))), 0'(1(1(0(0(2(1(1(x0)))))))), 1'(1(0(0(2(1(1(x0))))))), 1'(0(0(2(1(1(x0)))))), 0'(0(2(1(1(x0))))), 0'(2(1(1(x0)))), 1'(1(x0)), 1'(x0))
   0'(c_0(c_1(c_0(2(2(c_1(2(c_0(c_0(c_1(c_1(2(2(2(c_1(c_1(2(c_1(c_1(x0)))))))))))))))))))) -> c7(0'(2(0(2(2(0(0(1(2(0(2(0(0(1(1(0(c_0(2(1(1(x0)))))))))))))))))))), 0'(2(2(0(0(1(2(0(2(0(0(1(1(0(0(2(1(1(x0)))))))))))))))))), 0'(0(1(2(0(2(0(0(1(1(0(0(2(1(1(x0))))))))))))))), 0'(1(2(0(2(0(0(1(1(0(0(2(1(1(x0)))))))))))))), 1'(2(0(2(0(0(1(1(0(0(2(1(1(x0))))))))))))), 0'(2(0(0(1(1(0(0(2(1(1(x0))))))))))), 0'(0(1(1(0(0(2(1(1(x0))))))))), 0'(1(1(0(0(2(1(1(x0)))))))), 1'(1(0(0(2(1(1(x0))))))), 1'(0(0(2(1(1(x0)))))), 0'(0(2(1(1(x0))))), 0'(2(1(1(x0)))), 1'(1(x0)), 1'(x0))
   0'(c_0(c_1(c_0(2(2(c_1(2(c_0(c_0(c_1(c_1(2(2(2(c_1(c_1(2(c_1(c_1(x0)))))))))))))))))))) -> c7(0'(2(0(2(2(0(0(1(2(0(2(0(0(1(1(0(0(2(c_1(1(x0)))))))))))))))))))), 0'(2(2(0(0(1(2(0(2(0(0(1(1(0(0(2(1(1(x0)))))))))))))))))), 0'(0(1(2(0(2(0(0(1(1(0(0(2(1(1(x0))))))))))))))), 0'(1(2(0(2(0(0(1(1(0(0(2(1(1(x0)))))))))))))), 1'(2(0(2(0(0(1(1(0(0(2(1(1(x0))))))))))))), 0'(2(0(0(1(1(0(0(2(1(1(x0))))))))))), 0'(0(1(1(0(0(2(1(1(x0))))))))), 0'(1(1(0(0(2(1(1(x0)))))))), 1'(1(0(0(2(1(1(x0))))))), 1'(0(0(2(1(1(x0)))))), 0'(0(2(1(1(x0))))), 0'(2(1(1(x0)))), 1'(1(x0)), 1'(x0))
   0'(c_0(c_1(c_0(2(2(c_1(2(c_0(c_0(c_1(c_1(2(2(2(c_1(c_1(2(c_1(c_1(z0)))))))))))))))))))) -> c7(0'(2(0(2(2(0(0(1(2(0(2(0(0(1(1(0(0(2(1(c_1(z0)))))))))))))))))))), 0'(2(2(0(0(1(2(0(2(0(0(1(1(0(0(2(1(1(z0)))))))))))))))))), 0'(0(1(2(0(2(0(0(1(1(0(0(2(1(1(z0))))))))))))))), 0'(1(2(0(2(0(0(1(1(0(0(2(1(1(z0)))))))))))))), 1'(2(0(2(0(0(1(1(0(0(2(1(1(z0))))))))))))), 0'(2(0(0(1(1(0(0(2(1(1(z0))))))))))), 0'(0(1(1(0(0(2(1(1(z0))))))))), 0'(1(1(0(0(2(1(1(z0)))))))), 1'(1(0(0(2(1(1(z0))))))), 1'(0(0(2(1(1(z0)))))), 0'(0(2(1(1(z0))))), 0'(2(1(1(z0)))), 1'(1(z0)), 1'(z0))
   0'(c_0(c_1(c_0(2(2(c_1(2(c_0(c_0(c_1(c_1(2(2(2(c_1(c_1(2(c_1(c_1(2(2(c_0(2(c_0(2(c_1(2(c_1(2(c_1(c_0(c_0(c_1(c_0(c_0(2(c_0(c_1(z0))))))))))))))))))))))))))))))))))))))) -> c7(0'(2(0(2(2(0(0(1(2(0(2(0(0(1(1(0(0(2(1(1(0(1(2(0(1(0(0(1(0(0(0(2(1(0(0(1(0(0(2(z0))))))))))))))))))))))))))))))))))))))), 0'(2(2(0(0(1(2(0(2(0(0(1(1(0(0(2(1(1(2(2(c_0(2(c_0(2(c_1(2(c_1(2(c_1(c_0(c_0(c_1(c_0(c_0(2(c_0(c_1(z0))))))))))))))))))))))))))))))))))))), 0'(0(1(2(0(2(0(0(1(1(0(0(2(1(1(2(2(c_0(2(c_0(2(c_1(2(c_1(2(c_1(c_0(c_0(c_1(c_0(c_0(2(c_0(c_1(z0)))))))))))))))))))))))))))))))))), 0'(1(2(0(2(0(0(1(1(0(0(2(1(1(2(2(c_0(2(c_0(2(c_1(2(c_1(2(c_1(c_0(c_0(c_1(c_0(c_0(2(c_0(c_1(z0))))))))))))))))))))))))))))))))), 1'(2(0(2(0(0(1(1(0(0(2(1(1(2(2(c_0(2(c_0(2(c_1(2(c_1(2(c_1(c_0(c_0(c_1(c_0(c_0(2(c_0(c_1(z0)))))))))))))))))))))))))))))))), 0'(2(0(0(1(1(0(0(2(1(1(2(2(c_0(2(c_0(2(c_1(2(c_1(2(c_1(c_0(c_0(c_1(c_0(c_0(2(c_0(c_1(z0)))))))))))))))))))))))))))))), 0'(0(1(1(0(0(2(1(1(2(2(c_0(2(c_0(2(c_1(2(c_1(2(c_1(c_0(c_0(c_1(c_0(c_0(2(c_0(c_1(z0)))))))))))))))))))))))))))), 0'(1(1(0(0(2(1(1(2(2(c_0(2(c_0(2(c_1(2(c_1(2(c_1(c_0(c_0(c_1(c_0(c_0(2(c_0(c_1(z0))))))))))))))))))))))))))), 1'(1(0(0(2(1(1(2(2(c_0(2(c_0(2(c_1(2(c_1(2(c_1(c_0(c_0(c_1(c_0(c_0(2(c_0(c_1(z0)))))))))))))))))))))))))), 1'(0(0(2(1(1(2(2(c_0(2(c_0(2(c_1(2(c_1(2(c_1(c_0(c_0(c_1(c_0(c_0(2(c_0(c_1(z0))))))))))))))))))))))))), 0'(0(2(1(1(2(2(c_0(2(c_0(2(c_1(2(c_1(2(c_1(c_0(c_0(c_1(c_0(c_0(2(c_0(c_1(z0)))))))))))))))))))))))), 0'(2(1(1(2(2(c_0(2(c_0(2(c_1(2(c_1(2(c_1(c_0(c_0(c_1(c_0(c_0(2(c_0(c_1(z0))))))))))))))))))))))), 1'(1(2(2(c_0(2(c_0(2(c_1(2(c_1(2(c_1(c_0(c_0(c_1(c_0(c_0(2(c_0(c_1(z0))))))))))))))))))))), 1'(2(2(c_0(2(c_0(2(c_1(2(c_1(2(c_1(c_0(c_0(c_1(c_0(c_0(2(c_0(c_1(z0)))))))))))))))))))))
S tuples:
   0'(c_1(c_0(c_1(2(c_1(c_1(c_1(c_0(c_0(c_1(c_1(2(2(2(c_0(2(c_0(c_1(2(z0)))))))))))))))))))) -> c8(0'(2(1(1(2(1(0(2(0(1(1(0(2(0(1(0(2(2(0(2(z0)))))))))))))))))))), 1'(1(2(1(0(2(0(1(1(0(2(0(1(0(2(2(0(2(z0)))))))))))))))))), 1'(2(1(0(2(0(1(1(0(2(0(1(0(2(2(0(2(z0))))))))))))))))), 1'(0(2(0(1(1(0(2(0(1(0(2(2(0(2(z0))))))))))))))), 0'(2(0(1(1(0(2(0(1(0(2(2(0(2(z0)))))))))))))), 0'(1(1(0(2(0(1(0(2(2(0(2(z0)))))))))))), 1'(1(0(2(0(1(0(2(2(0(2(z0))))))))))), 1'(0(2(0(1(0(2(2(0(2(z0)))))))))), 0'(2(0(1(0(2(2(0(2(z0))))))))), 0'(1(0(2(2(0(2(z0))))))), 1'(0(2(2(0(2(z0)))))), 0'(2(2(0(2(z0))))), 0'(2(z0)))
   0'(c_1(c_0(2(2(c_1(c_1(c_0(c_1(c_0(2(2(c_1(c_0(2(c_0(c_1(c_0(c_1(c_1(z0)))))))))))))))))))) -> c10(0'(1(2(0(0(2(2(0(0(0(0(2(1(2(1(0(1(2(0(2(z0)))))))))))))))))))), 1'(2(0(0(2(2(0(0(0(0(2(1(2(1(0(1(2(0(2(z0))))))))))))))))))), 0'(0(2(2(0(0(0(0(2(1(2(1(0(1(2(0(2(z0))))))))))))))))), 0'(2(2(0(0(0(0(2(1(2(1(0(1(2(0(2(z0)))))))))))))))), 0'(0(0(0(2(1(2(1(0(1(2(0(2(z0))))))))))))), 0'(0(0(2(1(2(1(0(1(2(0(2(z0)))))))))))), 0'(0(2(1(2(1(0(1(2(0(2(z0))))))))))), 0'(2(1(2(1(0(1(2(0(2(z0)))))))))), 1'(2(1(0(1(2(0(2(z0)))))))), 1'(0(1(2(0(2(z0)))))), 0'(1(2(0(2(z0))))), 1'(2(0(2(z0)))), 0'(2(z0)))
   0'(2(c_1(2(c_0(c_1(c_1(c_1(2(c_0(c_1(c_1(2(c_1(2(c_0(2(c_0(2(c_0(z0)))))))))))))))))))) -> c11(0'(1(2(1(1(0(1(1(2(1(2(0(1(0(1(2(2(0(2(2(z0)))))))))))))))))))), 1'(2(1(1(0(1(1(2(1(2(0(1(0(1(2(2(0(2(2(z0))))))))))))))))))), 1'(1(0(1(1(2(1(2(0(1(0(1(2(2(0(2(2(z0))))))))))))))))), 1'(0(1(1(2(1(2(0(1(0(1(2(2(0(2(2(z0)))))))))))))))), 0'(1(1(2(1(2(0(1(0(1(2(2(0(2(2(z0))))))))))))))), 1'(1(2(1(2(0(1(0(1(2(2(0(2(2(z0)))))))))))))), 1'(2(1(2(0(1(0(1(2(2(0(2(2(z0))))))))))))), 1'(2(0(1(0(1(2(2(0(2(2(z0))))))))))), 0'(1(0(1(2(2(0(2(2(z0))))))))), 1'(0(1(2(2(0(2(2(z0)))))))), 0'(1(2(2(0(2(2(z0))))))), 1'(2(2(0(2(2(z0)))))), 0'(2(2(z0))))
   0'(c_0(c_1(c_0(c_0(c_1(c_1(2(c_1(c_1(2(2(c_1(c_1(2(2(c_1(c_1(c_0(2(z0)))))))))))))))))))) -> c12(0'(1(1(0(0(2(0(0(2(0(2(1(1(1(1(1(0(2(0(2(z0)))))))))))))))))))), 1'(1(0(0(2(0(0(2(0(2(1(1(1(1(1(0(2(0(2(z0))))))))))))))))))), 1'(0(0(2(0(0(2(0(2(1(1(1(1(1(0(2(0(2(z0)))))))))))))))))), 0'(0(2(0(0(2(0(2(1(1(1(1(1(0(2(0(2(z0))))))))))))))))), 0'(2(0(0(2(0(2(1(1(1(1(1(0(2(0(2(z0)))))))))))))))), 0'(0(2(0(2(1(1(1(1(1(0(2(0(2(z0)))))))))))))), 0'(2(0(2(1(1(1(1(1(0(2(0(2(z0))))))))))))), 0'(2(1(1(1(1(1(0(2(0(2(z0))))))))))), 1'(1(1(1(1(0(2(0(2(z0))))))))), 1'(1(1(1(0(2(0(2(z0)))))))), 1'(1(1(0(2(0(2(z0))))))), 1'(1(0(2(0(2(z0)))))), 1'(0(2(0(2(z0))))), 0'(2(0(2(z0)))), 0'(2(z0)))
   0'(c_1(c_1(c_0(c_1(c_0(2(c_1(c_1(2(2(c_0(2(c_0(2(c_0(2(2(c_0(c_1(z0)))))))))))))))))))) -> c13(0'(2(0(2(1(0(0(1(2(2(1(2(2(1(2(2(1(2(2(0(z0)))))))))))))))))))), 0'(2(1(0(0(1(2(2(1(2(2(1(2(2(1(2(2(0(z0)))))))))))))))))), 1'(0(0(1(2(2(1(2(2(1(2(2(1(2(2(0(z0)))))))))))))))), 0'(0(1(2(2(1(2(2(1(2(2(1(2(2(0(z0))))))))))))))), 0'(1(2(2(1(2(2(1(2(2(1(2(2(0(z0)))))))))))))), 1'(2(2(1(2(2(1(2(2(1(2(2(0(z0))))))))))))), 1'(2(2(1(2(2(1(2(2(0(z0)))))))))), 1'(2(2(1(2(2(0(z0))))))), 1'(2(2(0(z0)))), 0'(z0))
   0'(c_1(c_0(c_1(c_1(c_1(c_1(2(c_0(2(2(2(2(2(2(c_1(c_0(2(c_0(c_1(z0)))))))))))))))))))) -> c14(0'(0(0(2(2(1(0(0(1(2(1(0(2(2(1(0(0(2(2(1(z0)))))))))))))))))))), 0'(0(2(2(1(0(0(1(2(1(0(2(2(1(0(0(2(2(1(z0))))))))))))))))))), 0'(2(2(1(0(0(1(2(1(0(2(2(1(0(0(2(2(1(z0)))))))))))))))))), 1'(0(0(1(2(1(0(2(2(1(0(0(2(2(1(z0))))))))))))))), 0'(0(1(2(1(0(2(2(1(0(0(2(2(1(z0)))))))))))))), 0'(1(2(1(0(2(2(1(0(0(2(2(1(z0))))))))))))), 1'(2(1(0(2(2(1(0(0(2(2(1(z0)))))))))))), 1'(0(2(2(1(0(0(2(2(1(z0)))))))))), 0'(2(2(1(0(0(2(2(1(z0))))))))), 1'(0(0(2(2(1(z0)))))), 0'(0(2(2(1(z0))))), 0'(2(2(1(z0)))), 1'(z0))
   0'(c_0(2(2(c_0(c_0(c_1(c_0(2(2(c_1(c_1(2(2(c_1(c_0(2(2(c_0(c_1(z0)))))))))))))))))))) -> c15(0'(2(0(2(2(1(0(0(2(2(1(2(1(1(0(0(2(0(2(1(z0)))))))))))))))))))), 0'(2(2(1(0(0(2(2(1(2(1(1(0(0(2(0(2(1(z0)))))))))))))))))), 1'(0(0(2(2(1(2(1(1(0(0(2(0(2(1(z0))))))))))))))), 0'(0(2(2(1(2(1(1(0(0(2(0(2(1(z0)))))))))))))), 0'(2(2(1(2(1(1(0(0(2(0(2(1(z0))))))))))))), 1'(2(1(1(0(0(2(0(2(1(z0)))))))))), 1'(1(0(0(2(0(2(1(z0)))))))), 1'(0(0(2(0(2(1(z0))))))), 0'(0(2(0(2(1(z0)))))), 0'(2(0(2(1(z0))))), 0'(2(1(z0))), 1'(z0))
   0'(c_0(2(2(c_1(c_1(c_1(c_0(c_1(c_0(c_1(c_0(c_1(2(2(2(c_1(2(c_0(c_0(z0)))))))))))))))))))) -> c16(0'(1(0(2(0(2(2(1(0(1(0(2(1(2(1(0(1(1(1(2(z0)))))))))))))))))))), 1'(0(2(0(2(2(1(0(1(0(2(1(2(1(0(1(1(1(2(z0))))))))))))))))))), 0'(2(0(2(2(1(0(1(0(2(1(2(1(0(1(1(1(2(z0)))))))))))))))))), 0'(2(2(1(0(1(0(2(1(2(1(0(1(1(1(2(z0)))))))))))))))), 1'(0(1(0(2(1(2(1(0(1(1(1(2(z0))))))))))))), 0'(1(0(2(1(2(1(0(1(1(1(2(z0)))))))))))), 1'(0(2(1(2(1(0(1(1(1(2(z0))))))))))), 0'(2(1(2(1(0(1(1(1(2(z0)))))))))), 1'(2(1(0(1(1(1(2(z0)))))))), 1'(0(1(1(1(2(z0)))))), 0'(1(1(1(2(z0))))), 1'(1(1(2(z0)))), 1'(1(2(z0))), 1'(2(z0)))
   0'(c_1(c_1(c_0(c_0(2(c_0(2(c_1(c_1(c_1(2(c_1(2(c_1(c_0(c_0(c_1(c_1(c_1(z0)))))))))))))))))))) -> c17(0'(1(0(0(2(2(0(0(2(2(0(2(0(0(1(2(1(0(1(2(z0)))))))))))))))))))), 1'(0(0(2(2(0(0(2(2(0(2(0(0(1(2(1(0(1(2(z0))))))))))))))))))), 0'(0(2(2(0(0(2(2(0(2(0(0(1(2(1(0(1(2(z0)))))))))))))))))), 0'(2(2(0(0(2(2(0(2(0(0(1(2(1(0(1(2(z0))))))))))))))))), 0'(0(2(2(0(2(0(0(1(2(1(0(1(2(z0)))))))))))))), 0'(2(2(0(2(0(0(1(2(1(0(1(2(z0))))))))))))), 0'(2(0(0(1(2(1(0(1(2(z0)))))))))), 0'(0(1(2(1(0(1(2(z0)))))))), 0'(1(2(1(0(1(2(z0))))))), 1'(2(1(0(1(2(z0)))))), 1'(0(1(2(z0)))), 0'(1(2(z0))), 1'(2(z0)))
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   0'(2(c_1(c_1(c_1(2(2(c_0(c_0(c_0(2(c_1(c_0(c_1(2(2(c_1(c_0(2(c_0(z0)))))))))))))))))))) -> c19(0'(1(0(1(0(0(0(1(0(2(1(1(0(0(2(1(2(0(2(1(z0)))))))))))))))))))), 1'(0(1(0(0(0(1(0(2(1(1(0(0(2(1(2(0(2(1(z0))))))))))))))))))), 0'(1(0(0(0(1(0(2(1(1(0(0(2(1(2(0(2(1(z0)))))))))))))))))), 1'(0(0(0(1(0(2(1(1(0(0(2(1(2(0(2(1(z0))))))))))))))))), 0'(0(0(1(0(2(1(1(0(0(2(1(2(0(2(1(z0)))))))))))))))), 0'(0(1(0(2(1(1(0(0(2(1(2(0(2(1(z0))))))))))))))), 0'(1(0(2(1(1(0(0(2(1(2(0(2(1(z0)))))))))))))), 1'(0(2(1(1(0(0(2(1(2(0(2(1(z0))))))))))))), 0'(2(1(1(0(0(2(1(2(0(2(1(z0)))))))))))), 1'(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))))))), 1'(2(0(2(1(z0))))), 0'(2(1(z0))), 1'(z0))
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   0'(2(c_1(c_1(c_0(2(c_1(c_1(c_1(c_1(2(2(c_0(c_1(c_1(c_1(2(2(c_1(c_1(z0)))))))))))))))))))) -> c29(0'(0(2(0(0(1(0(2(2(1(0(1(1(0(0(2(0(2(2(1(z0)))))))))))))))))))), 0'(2(0(0(1(0(2(2(1(0(1(1(0(0(2(0(2(2(1(z0))))))))))))))))))), 0'(0(1(0(2(2(1(0(1(1(0(0(2(0(2(2(1(z0))))))))))))))))), 0'(1(0(2(2(1(0(1(1(0(0(2(0(2(2(1(z0)))))))))))))))), 1'(0(2(2(1(0(1(1(0(0(2(0(2(2(1(z0))))))))))))))), 0'(2(2(1(0(1(1(0(0(2(0(2(2(1(z0)))))))))))))), 1'(0(1(1(0(0(2(0(2(2(1(z0))))))))))), 0'(1(1(0(0(2(0(2(2(1(z0)))))))))), 1'(1(0(0(2(0(2(2(1(z0))))))))), 1'(0(0(2(0(2(2(1(z0)))))))), 0'(0(2(0(2(2(1(z0))))))), 0'(2(0(2(2(1(z0)))))), 0'(2(2(1(z0)))), 1'(z0))
   0'(c_0(2(2(2(c_0(c_1(c_0(c_1(c_1(c_1(c_0(c_1(c_0(c_0(c_0(c_1(c_1(2(c_0(z0)))))))))))))))))))) -> c30(0'(2(0(2(2(2(2(0(2(2(1(0(0(0(0(0(0(2(0(0(z0)))))))))))))))))))), 0'(2(2(2(2(0(2(2(1(0(0(0(0(0(0(2(0(0(z0)))))))))))))))))), 0'(2(2(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)))), 0'(0(z0)), 0'(z0))
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   0'(2(2(c_1(c_1(2(c_0(c_1(c_0(c_1(c_0(2(c_0(c_1(c_0(c_1(c_0(2(c_1(c_1(z0)))))))))))))))))))) -> c34(0'(1(1(0(0(1(1(0(0(2(2(1(1(2(2(0(0(0(2(0(z0)))))))))))))))))))), 1'(1(0(0(1(1(0(0(2(2(1(1(2(2(0(0(0(2(0(z0))))))))))))))))))), 1'(0(0(1(1(0(0(2(2(1(1(2(2(0(0(0(2(0(z0)))))))))))))))))), 0'(0(1(1(0(0(2(2(1(1(2(2(0(0(0(2(0(z0))))))))))))))))), 0'(1(1(0(0(2(2(1(1(2(2(0(0(0(2(0(z0)))))))))))))))), 1'(1(0(0(2(2(1(1(2(2(0(0(0(2(0(z0))))))))))))))), 1'(0(0(2(2(1(1(2(2(0(0(0(2(0(z0)))))))))))))), 0'(0(2(2(1(1(2(2(0(0(0(2(0(z0))))))))))))), 0'(2(2(1(1(2(2(0(0(0(2(0(z0)))))))))))), 1'(1(2(2(0(0(0(2(0(z0))))))))), 1'(2(2(0(0(0(2(0(z0)))))))), 0'(0(0(2(0(z0))))), 0'(0(2(0(z0)))), 0'(2(0(z0))), 0'(z0))
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   0'(c_1(2(c_0(c_0(2(c_1(c_1(c_0(2(c_1(c_0(c_1(c_1(c_1(c_0(c_1(c_1(c_0(c_0(z0)))))))))))))))))))) -> c84(0'(0(0(2(0(1(1(2(2(0(2(0(0(2(1(0(0(2(1(1(z0)))))))))))))))))))), 0'(0(2(0(1(1(2(2(0(2(0(0(2(1(0(0(2(1(1(z0))))))))))))))))))), 0'(2(0(1(1(2(2(0(2(0(0(2(1(0(0(2(1(1(z0)))))))))))))))))), 0'(1(1(2(2(0(2(0(0(2(1(0(0(2(1(1(z0)))))))))))))))), 1'(1(2(2(0(2(0(0(2(1(0(0(2(1(1(z0))))))))))))))), 1'(2(2(0(2(0(0(2(1(0(0(2(1(1(z0)))))))))))))), 0'(2(0(0(2(1(0(0(2(1(1(z0))))))))))), 0'(0(2(1(0(0(2(1(1(z0))))))))), 0'(2(1(0(0(2(1(1(z0)))))))), 1'(0(0(2(1(1(z0)))))), 0'(0(2(1(1(z0))))), 0'(2(1(1(z0)))), 1'(1(z0)), 1'(z0))
   0'(c_0(c_1(c_0(2(2(2(2(c_1(c_0(2(c_1(c_0(2(2(c_0(c_1(c_1(2(c_1(z0)))))))))))))))))))) -> c85(0'(0(1(0(0(0(0(2(2(2(2(0(0(0(1(0(0(2(1(1(z0)))))))))))))))))))), 0'(1(0(0(0(0(2(2(2(2(0(0(0(1(0(0(2(1(1(z0))))))))))))))))))), 1'(0(0(0(0(2(2(2(2(0(0(0(1(0(0(2(1(1(z0)))))))))))))))))), 0'(0(0(0(2(2(2(2(0(0(0(1(0(0(2(1(1(z0))))))))))))))))), 0'(0(0(2(2(2(2(0(0(0(1(0(0(2(1(1(z0)))))))))))))))), 0'(0(2(2(2(2(0(0(0(1(0(0(2(1(1(z0))))))))))))))), 0'(2(2(2(2(0(0(0(1(0(0(2(1(1(z0)))))))))))))), 0'(0(0(1(0(0(2(1(1(z0))))))))), 0'(0(1(0(0(2(1(1(z0)))))))), 0'(1(0(0(2(1(1(z0))))))), 1'(0(0(2(1(1(z0)))))), 0'(0(2(1(1(z0))))), 0'(2(1(1(z0)))), 1'(1(z0)), 1'(z0))
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   0'(c_0(c_1(2(c_0(c_1(2(c_0(c_1(c_1(c_1(c_0(2(2(c_1(c_0(2(c_1(c_1(2(z0)))))))))))))))))))) -> c89(0'(1(2(2(0(2(2(2(1(0(1(2(2(1(0(0(1(1(1(2(z0)))))))))))))))))))), 1'(2(2(0(2(2(2(1(0(1(2(2(1(0(0(1(1(1(2(z0))))))))))))))))))), 0'(2(2(2(1(0(1(2(2(1(0(0(1(1(1(2(z0)))))))))))))))), 1'(0(1(2(2(1(0(0(1(1(1(2(z0)))))))))))), 0'(1(2(2(1(0(0(1(1(1(2(z0))))))))))), 1'(2(2(1(0(0(1(1(1(2(z0)))))))))), 1'(0(0(1(1(1(2(z0))))))), 0'(0(1(1(1(2(z0)))))), 0'(1(1(1(2(z0))))), 1'(1(1(2(z0)))), 1'(1(2(z0))), 1'(2(z0)))
   0'(c_0(c_1(2(2(c_1(c_1(c_0(2(2(2(c_0(c_1(c_1(c_1(c_1(c_0(c_1(2(c_1(z0)))))))))))))))))))) -> c90(0'(1(2(2(0(1(1(1(2(0(2(0(0(1(2(0(2(1(2(0(z0)))))))))))))))))))), 1'(2(2(0(1(1(1(2(0(2(0(0(1(2(0(2(1(2(0(z0))))))))))))))))))), 0'(1(1(1(2(0(2(0(0(1(2(0(2(1(2(0(z0)))))))))))))))), 1'(1(1(2(0(2(0(0(1(2(0(2(1(2(0(z0))))))))))))))), 1'(1(2(0(2(0(0(1(2(0(2(1(2(0(z0)))))))))))))), 1'(2(0(2(0(0(1(2(0(2(1(2(0(z0))))))))))))), 0'(2(0(0(1(2(0(2(1(2(0(z0))))))))))), 0'(0(1(2(0(2(1(2(0(z0))))))))), 0'(1(2(0(2(1(2(0(z0)))))))), 1'(2(0(2(1(2(0(z0))))))), 0'(2(1(2(0(z0))))), 1'(2(0(z0))), 0'(z0))
   0'(c_1(c_0(c_1(c_0(c_1(c_1(c_0(c_0(c_0(c_1(c_0(2(c_1(c_1(2(c_0(c_1(c_0(c_1(z0)))))))))))))))))))) -> c93(0'(0(2(1(1(0(0(2(0(2(1(0(1(1(0(2(2(0(1(2(z0)))))))))))))))))))), 0'(2(1(1(0(0(2(0(2(1(0(1(1(0(2(2(0(1(2(z0))))))))))))))))))), 1'(1(0(0(2(0(2(1(0(1(1(0(2(2(0(1(2(z0))))))))))))))))), 1'(0(0(2(0(2(1(0(1(1(0(2(2(0(1(2(z0)))))))))))))))), 0'(0(2(0(2(1(0(1(1(0(2(2(0(1(2(z0))))))))))))))), 0'(2(0(2(1(0(1(1(0(2(2(0(1(2(z0)))))))))))))), 0'(2(1(0(1(1(0(2(2(0(1(2(z0)))))))))))), 1'(0(1(1(0(2(2(0(1(2(z0)))))))))), 0'(1(1(0(2(2(0(1(2(z0))))))))), 1'(1(0(2(2(0(1(2(z0)))))))), 1'(0(2(2(0(1(2(z0))))))), 0'(2(2(0(1(2(z0)))))), 0'(1(2(z0))), 1'(2(z0)))
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   0'(c_0(c_1(c_0(2(c_1(2(2(2(2(c_0(c_1(2(c_0(c_1(c_1(2(2(c_0(2(z0)))))))))))))))))))) -> c103(0'(0(2(1(1(0(0(2(2(2(0(1(2(2(0(1(2(2(0(2(z0)))))))))))))))))))), 0'(2(1(1(0(0(2(2(2(0(1(2(2(0(1(2(2(0(2(z0))))))))))))))))))), 1'(1(0(0(2(2(2(0(1(2(2(0(1(2(2(0(2(z0))))))))))))))))), 1'(0(0(2(2(2(0(1(2(2(0(1(2(2(0(2(z0)))))))))))))))), 0'(0(2(2(2(0(1(2(2(0(1(2(2(0(2(z0))))))))))))))), 0'(2(2(2(0(1(2(2(0(1(2(2(0(2(z0)))))))))))))), 0'(1(2(2(0(1(2(2(0(2(z0)))))))))), 1'(2(2(0(1(2(2(0(2(z0))))))))), 0'(1(2(2(0(2(z0)))))), 1'(2(2(0(2(z0))))), 0'(2(z0)))
   0'(c_1(c_1(c_0(c_1(2(c_1(2(c_0(2(2(c_1(c_0(c_0(2(c_0(c_1(c_0(c_1(c_1(z0)))))))))))))))))))) -> c104(0'(0(0(1(2(0(2(2(2(0(1(0(1(2(1(1(1(0(2(0(z0)))))))))))))))))))), 0'(0(1(2(0(2(2(2(0(1(0(1(2(1(1(1(0(2(0(z0))))))))))))))))))), 0'(1(2(0(2(2(2(0(1(0(1(2(1(1(1(0(2(0(z0)))))))))))))))))), 1'(2(0(2(2(2(0(1(0(1(2(1(1(1(0(2(0(z0))))))))))))))))), 0'(2(2(2(0(1(0(1(2(1(1(1(0(2(0(z0))))))))))))))), 0'(1(0(1(2(1(1(1(0(2(0(z0))))))))))), 1'(0(1(2(1(1(1(0(2(0(z0)))))))))), 0'(1(2(1(1(1(0(2(0(z0))))))))), 1'(2(1(1(1(0(2(0(z0)))))))), 1'(1(1(0(2(0(z0)))))), 1'(1(0(2(0(z0))))), 1'(0(2(0(z0)))), 0'(2(0(z0))), 0'(z0))
   1'(2(2(c_0(2(c_0(2(c_1(2(c_1(2(c_1(c_0(c_0(c_1(c_0(c_0(2(c_0(c_1(z0)))))))))))))))))))) -> c106(1'(0(1(2(0(1(0(0(1(0(0(0(2(1(0(0(1(0(0(2(z0)))))))))))))))))))), 0'(1(2(0(1(0(0(1(0(0(0(2(1(0(0(1(0(0(2(z0))))))))))))))))))), 1'(2(0(1(0(0(1(0(0(0(2(1(0(0(1(0(0(2(z0)))))))))))))))))), 0'(1(0(0(1(0(0(0(2(1(0(0(1(0(0(2(z0)))))))))))))))), 1'(0(0(1(0(0(0(2(1(0(0(1(0(0(2(z0))))))))))))))), 0'(0(1(0(0(0(2(1(0(0(1(0(0(2(z0)))))))))))))), 0'(1(0(0(0(2(1(0(0(1(0(0(2(z0))))))))))))), 1'(0(0(0(2(1(0(0(1(0(0(2(z0)))))))))))), 0'(0(0(2(1(0(0(1(0(0(2(z0))))))))))), 0'(0(2(1(0(0(1(0(0(2(z0)))))))))), 0'(2(1(0(0(1(0(0(2(z0))))))))), 1'(0(0(1(0(0(2(z0))))))), 0'(0(1(0(0(2(z0)))))), 0'(1(0(0(2(z0))))), 1'(0(0(2(z0)))), 0'(0(2(z0))), 0'(2(z0)))
   0'(2(c_1(c_1(c_1(c_0(2(c_1(c_1(c_0(c_1(c_0(2(2(c_0(c_0(2(c_0(2(c_1(z0)))))))))))))))))))) -> c9(0'(1(0(1(2(2(2(1(1(0(2(2(1(2(0(0(0(0(2(1(z0)))))))))))))))))))), 1'(0(1(2(2(2(1(1(0(2(2(1(2(0(0(0(0(2(1(z0))))))))))))))))))), 0'(1(2(2(2(1(1(0(2(2(1(2(0(0(0(0(2(1(z0)))))))))))))))))), 1'(1(0(2(2(1(2(0(0(0(0(2(1(z0))))))))))))), 1'(0(2(2(1(2(0(0(0(0(2(1(z0)))))))))))), 0'(2(2(1(2(0(0(0(0(2(1(z0))))))))))), 1'(2(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))), 1'(z0))
   0'(c_0(2(c_0(2(c_1(c_1(2(c_1(c_1(c_1(c_1(c_1(c_0(c_1(c_1(c_1(2(2(c_1(z0)))))))))))))))))))) -> c21(0'(2(0(0(2(1(1(2(2(0(2(0(1(2(2(2(1(1(1(2(z0)))))))))))))))))))), 0'(0(2(1(1(2(2(0(2(0(1(2(2(2(1(1(1(2(z0)))))))))))))))))), 0'(2(1(1(2(2(0(2(0(1(2(2(2(1(1(1(2(z0))))))))))))))))), 1'(1(2(2(0(2(0(1(2(2(2(1(1(1(2(z0))))))))))))))), 1'(2(2(0(2(0(1(2(2(2(1(1(1(2(z0)))))))))))))), 0'(2(0(1(2(2(2(1(1(1(2(z0))))))))))), 0'(1(2(2(2(1(1(1(2(z0))))))))), 1'(1(1(2(z0)))), 1'(1(2(z0))), 1'(2(z0)))
   0'(2(c_0(c_1(c_1(c_1(c_0(c_1(2(2(c_0(2(c_0(2(c_0(2(c_1(2(c_0(c_1(z0)))))))))))))))))))) -> c22(0'(2(2(0(1(2(2(2(2(1(0(2(1(2(0(0(2(2(2(1(z0)))))))))))))))))))), 0'(1(2(2(2(2(1(0(2(1(2(0(0(2(2(2(1(z0))))))))))))))))), 1'(0(2(1(2(0(0(2(2(2(1(z0))))))))))), 0'(2(1(2(0(0(2(2(2(1(z0)))))))))), 1'(2(0(0(2(2(2(1(z0)))))))), 0'(0(2(2(2(1(z0)))))), 0'(2(2(2(1(z0))))), 1'(z0))
   0'(2(c_0(2(c_1(c_0(c_0(c_1(2(c_0(2(c_0(c_1(c_0(c_1(c_1(c_1(2(2(c_1(z0)))))))))))))))))))) -> c31(0'(0(1(0(1(0(1(1(2(1(0(0(0(1(2(2(2(0(1(0(z0)))))))))))))))))))), 0'(1(0(1(0(1(1(2(1(0(0(0(1(2(2(2(0(1(0(z0))))))))))))))))))), 1'(0(1(0(1(1(2(1(0(0(0(1(2(2(2(0(1(0(z0)))))))))))))))))), 0'(1(0(1(1(2(1(0(0(0(1(2(2(2(0(1(0(z0))))))))))))))))), 1'(0(1(1(2(1(0(0(0(1(2(2(2(0(1(0(z0)))))))))))))))), 0'(1(1(2(1(0(0(0(1(2(2(2(0(1(0(z0))))))))))))))), 1'(1(2(1(0(0(0(1(2(2(2(0(1(0(z0)))))))))))))), 1'(2(1(0(0(0(1(2(2(2(0(1(0(z0))))))))))))), 1'(0(0(0(1(2(2(2(0(1(0(z0))))))))))), 0'(0(0(1(2(2(2(0(1(0(z0)))))))))), 0'(0(1(2(2(2(0(1(0(z0))))))))), 0'(1(2(2(2(0(1(0(z0)))))))), 0'(1(0(z0))), 1'(0(z0)), 0'(z0))
   0'(c_1(c_1(2(c_0(c_1(c_0(c_0(c_1(2(c_0(2(c_1(c_0(c_0(c_0(c_0(2(c_0(c_1(z0)))))))))))))))))))) -> c40(0'(0(2(1(2(2(2(1(2(1(0(0(0(2(2(1(0(1(2(0(z0)))))))))))))))))))), 0'(2(1(2(2(2(1(2(1(0(0(0(2(2(1(0(1(2(0(z0))))))))))))))))))), 1'(2(1(0(0(0(2(2(1(0(1(2(0(z0))))))))))))), 1'(0(0(0(2(2(1(0(1(2(0(z0))))))))))), 0'(0(0(2(2(1(0(1(2(0(z0)))))))))), 0'(0(2(2(1(0(1(2(0(z0))))))))), 0'(2(2(1(0(1(2(0(z0)))))))), 1'(0(1(2(0(z0))))), 0'(1(2(0(z0)))), 1'(2(0(z0))), 0'(z0))
   0'(c_1(c_0(2(2(2(c_1(2(c_1(c_1(c_1(2(c_1(c_0(2(c_1(c_1(c_1(c_0(c_1(z0)))))))))))))))))))) -> c61(0'(0(1(2(2(2(1(0(0(1(1(2(1(1(2(0(0(1(2(0(z0)))))))))))))))))))), 0'(1(2(2(2(1(0(0(1(1(2(1(1(2(0(0(1(2(0(z0))))))))))))))))))), 1'(0(0(1(1(2(1(1(2(0(0(1(2(0(z0)))))))))))))), 0'(0(1(1(2(1(1(2(0(0(1(2(0(z0))))))))))))), 0'(1(1(2(1(1(2(0(0(1(2(0(z0)))))))))))), 1'(1(2(1(1(2(0(0(1(2(0(z0))))))))))), 1'(2(1(1(2(0(0(1(2(0(z0)))))))))), 1'(1(2(0(0(1(2(0(z0)))))))), 1'(2(0(0(1(2(0(z0))))))), 0'(0(1(2(0(z0))))), 0'(1(2(0(z0)))), 1'(2(0(z0))), 0'(z0))
   0'(c_1(c_1(c_0(2(c_1(c_1(c_0(c_0(c_1(c_1(c_1(2(2(2(c_0(2(c_0(c_0(2(z0)))))))))))))))))))) -> c63(0'(1(2(1(0(2(1(0(1(2(2(2(0(0(2(0(2(2(1(2(z0)))))))))))))))))))), 1'(2(1(0(2(1(0(1(2(2(2(0(0(2(0(2(2(1(2(z0))))))))))))))))))), 1'(0(2(1(0(1(2(2(2(0(0(2(0(2(2(1(2(z0))))))))))))))))), 0'(2(1(0(1(2(2(2(0(0(2(0(2(2(1(2(z0)))))))))))))))), 1'(0(1(2(2(2(0(0(2(0(2(2(1(2(z0)))))))))))))), 0'(1(2(2(2(0(0(2(0(2(2(1(2(z0))))))))))))), 0'(0(2(0(2(2(1(2(z0)))))))), 0'(2(0(2(2(1(2(z0))))))), 0'(2(2(1(2(z0))))), 1'(2(z0)))
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   0'(c_0(c_1(c_0(2(2(c_1(2(c_0(c_0(c_1(c_1(2(2(2(c_1(c_1(2(c_1(c_1(x0)))))))))))))))))))) -> c7(0'(2(0(2(2(0(c_0(1(2(0(2(0(0(1(1(0(0(2(1(1(x0)))))))))))))))))))), 0'(2(2(0(0(1(2(0(2(0(0(1(1(0(0(2(1(1(x0)))))))))))))))))), 0'(0(1(2(0(2(0(0(1(1(0(0(2(1(1(x0))))))))))))))), 0'(1(2(0(2(0(0(1(1(0(0(2(1(1(x0)))))))))))))), 1'(2(0(2(0(0(1(1(0(0(2(1(1(x0))))))))))))), 0'(2(0(0(1(1(0(0(2(1(1(x0))))))))))), 0'(0(1(1(0(0(2(1(1(x0))))))))), 0'(1(1(0(0(2(1(1(x0)))))))), 1'(1(0(0(2(1(1(x0))))))), 1'(0(0(2(1(1(x0)))))), 0'(0(2(1(1(x0))))), 0'(2(1(1(x0)))), 1'(1(x0)), 1'(x0))
   0'(c_0(c_1(c_0(2(2(c_1(2(c_0(c_0(c_1(c_1(2(2(2(c_1(c_1(2(c_1(c_1(x0)))))))))))))))))))) -> c7(0'(2(0(2(2(0(0(c_1(2(0(2(0(0(1(1(0(0(2(1(1(x0)))))))))))))))))))), 0'(2(2(0(0(1(2(0(2(0(0(1(1(0(0(2(1(1(x0)))))))))))))))))), 0'(0(1(2(0(2(0(0(1(1(0(0(2(1(1(x0))))))))))))))), 0'(1(2(0(2(0(0(1(1(0(0(2(1(1(x0)))))))))))))), 1'(2(0(2(0(0(1(1(0(0(2(1(1(x0))))))))))))), 0'(2(0(0(1(1(0(0(2(1(1(x0))))))))))), 0'(0(1(1(0(0(2(1(1(x0))))))))), 0'(1(1(0(0(2(1(1(x0)))))))), 1'(1(0(0(2(1(1(x0))))))), 1'(0(0(2(1(1(x0)))))), 0'(0(2(1(1(x0))))), 0'(2(1(1(x0)))), 1'(1(x0)), 1'(x0))
   0'(c_0(c_1(c_0(2(2(c_1(2(c_0(c_0(c_1(c_1(2(2(2(c_1(c_1(2(c_1(c_1(x0)))))))))))))))))))) -> c7(0'(2(0(2(2(0(0(1(2(c_0(2(0(0(1(1(0(0(2(1(1(x0)))))))))))))))))))), 0'(2(2(0(0(1(2(0(2(0(0(1(1(0(0(2(1(1(x0)))))))))))))))))), 0'(0(1(2(0(2(0(0(1(1(0(0(2(1(1(x0))))))))))))))), 0'(1(2(0(2(0(0(1(1(0(0(2(1(1(x0)))))))))))))), 1'(2(0(2(0(0(1(1(0(0(2(1(1(x0))))))))))))), 0'(2(0(0(1(1(0(0(2(1(1(x0))))))))))), 0'(0(1(1(0(0(2(1(1(x0))))))))), 0'(1(1(0(0(2(1(1(x0)))))))), 1'(1(0(0(2(1(1(x0))))))), 1'(0(0(2(1(1(x0)))))), 0'(0(2(1(1(x0))))), 0'(2(1(1(x0)))), 1'(1(x0)), 1'(x0))
   0'(c_0(c_1(c_0(2(2(c_1(2(c_0(c_0(c_1(c_1(2(2(2(c_1(c_1(2(c_1(c_1(x0)))))))))))))))))))) -> c7(0'(2(0(2(2(0(0(1(2(0(2(c_0(0(1(1(0(0(2(1(1(x0)))))))))))))))))))), 0'(2(2(0(0(1(2(0(2(0(0(1(1(0(0(2(1(1(x0)))))))))))))))))), 0'(0(1(2(0(2(0(0(1(1(0(0(2(1(1(x0))))))))))))))), 0'(1(2(0(2(0(0(1(1(0(0(2(1(1(x0)))))))))))))), 1'(2(0(2(0(0(1(1(0(0(2(1(1(x0))))))))))))), 0'(2(0(0(1(1(0(0(2(1(1(x0))))))))))), 0'(0(1(1(0(0(2(1(1(x0))))))))), 0'(1(1(0(0(2(1(1(x0)))))))), 1'(1(0(0(2(1(1(x0))))))), 1'(0(0(2(1(1(x0)))))), 0'(0(2(1(1(x0))))), 0'(2(1(1(x0)))), 1'(1(x0)), 1'(x0))
   0'(c_0(c_1(c_0(2(2(c_1(2(c_0(c_0(c_1(c_1(2(2(2(c_1(c_1(2(c_1(c_1(x0)))))))))))))))))))) -> c7(0'(2(0(2(2(0(0(1(2(0(2(0(c_0(1(1(0(0(2(1(1(x0)))))))))))))))))))), 0'(2(2(0(0(1(2(0(2(0(0(1(1(0(0(2(1(1(x0)))))))))))))))))), 0'(0(1(2(0(2(0(0(1(1(0(0(2(1(1(x0))))))))))))))), 0'(1(2(0(2(0(0(1(1(0(0(2(1(1(x0)))))))))))))), 1'(2(0(2(0(0(1(1(0(0(2(1(1(x0))))))))))))), 0'(2(0(0(1(1(0(0(2(1(1(x0))))))))))), 0'(0(1(1(0(0(2(1(1(x0))))))))), 0'(1(1(0(0(2(1(1(x0)))))))), 1'(1(0(0(2(1(1(x0))))))), 1'(0(0(2(1(1(x0)))))), 0'(0(2(1(1(x0))))), 0'(2(1(1(x0)))), 1'(1(x0)), 1'(x0))
   0'(c_0(c_1(c_0(2(2(c_1(2(c_0(c_0(c_1(c_1(2(2(2(c_1(c_1(2(c_1(c_1(x0)))))))))))))))))))) -> c7(0'(2(0(2(2(0(0(1(2(0(2(0(0(c_1(1(0(0(2(1(1(x0)))))))))))))))))))), 0'(2(2(0(0(1(2(0(2(0(0(1(1(0(0(2(1(1(x0)))))))))))))))))), 0'(0(1(2(0(2(0(0(1(1(0(0(2(1(1(x0))))))))))))))), 0'(1(2(0(2(0(0(1(1(0(0(2(1(1(x0)))))))))))))), 1'(2(0(2(0(0(1(1(0(0(2(1(1(x0))))))))))))), 0'(2(0(0(1(1(0(0(2(1(1(x0))))))))))), 0'(0(1(1(0(0(2(1(1(x0))))))))), 0'(1(1(0(0(2(1(1(x0)))))))), 1'(1(0(0(2(1(1(x0))))))), 1'(0(0(2(1(1(x0)))))), 0'(0(2(1(1(x0))))), 0'(2(1(1(x0)))), 1'(1(x0)), 1'(x0))
   0'(c_0(c_1(c_0(2(2(c_1(2(c_0(c_0(c_1(c_1(2(2(2(c_1(c_1(2(c_1(c_1(x0)))))))))))))))))))) -> c7(0'(2(0(2(2(0(0(1(2(0(2(0(0(1(c_1(0(0(2(1(1(x0)))))))))))))))))))), 0'(2(2(0(0(1(2(0(2(0(0(1(1(0(0(2(1(1(x0)))))))))))))))))), 0'(0(1(2(0(2(0(0(1(1(0(0(2(1(1(x0))))))))))))))), 0'(1(2(0(2(0(0(1(1(0(0(2(1(1(x0)))))))))))))), 1'(2(0(2(0(0(1(1(0(0(2(1(1(x0))))))))))))), 0'(2(0(0(1(1(0(0(2(1(1(x0))))))))))), 0'(0(1(1(0(0(2(1(1(x0))))))))), 0'(1(1(0(0(2(1(1(x0)))))))), 1'(1(0(0(2(1(1(x0))))))), 1'(0(0(2(1(1(x0)))))), 0'(0(2(1(1(x0))))), 0'(2(1(1(x0)))), 1'(1(x0)), 1'(x0))
   0'(c_0(c_1(c_0(2(2(c_1(2(c_0(c_0(c_1(c_1(2(2(2(c_1(c_1(2(c_1(c_1(x0)))))))))))))))))))) -> c7(0'(2(0(2(2(0(0(1(2(0(2(0(0(1(1(c_0(0(2(1(1(x0)))))))))))))))))))), 0'(2(2(0(0(1(2(0(2(0(0(1(1(0(0(2(1(1(x0)))))))))))))))))), 0'(0(1(2(0(2(0(0(1(1(0(0(2(1(1(x0))))))))))))))), 0'(1(2(0(2(0(0(1(1(0(0(2(1(1(x0)))))))))))))), 1'(2(0(2(0(0(1(1(0(0(2(1(1(x0))))))))))))), 0'(2(0(0(1(1(0(0(2(1(1(x0))))))))))), 0'(0(1(1(0(0(2(1(1(x0))))))))), 0'(1(1(0(0(2(1(1(x0)))))))), 1'(1(0(0(2(1(1(x0))))))), 1'(0(0(2(1(1(x0)))))), 0'(0(2(1(1(x0))))), 0'(2(1(1(x0)))), 1'(1(x0)), 1'(x0))
   0'(c_0(c_1(c_0(2(2(c_1(2(c_0(c_0(c_1(c_1(2(2(2(c_1(c_1(2(c_1(c_1(x0)))))))))))))))))))) -> c7(0'(2(0(2(2(0(0(1(2(0(2(0(0(1(1(0(c_0(2(1(1(x0)))))))))))))))))))), 0'(2(2(0(0(1(2(0(2(0(0(1(1(0(0(2(1(1(x0)))))))))))))))))), 0'(0(1(2(0(2(0(0(1(1(0(0(2(1(1(x0))))))))))))))), 0'(1(2(0(2(0(0(1(1(0(0(2(1(1(x0)))))))))))))), 1'(2(0(2(0(0(1(1(0(0(2(1(1(x0))))))))))))), 0'(2(0(0(1(1(0(0(2(1(1(x0))))))))))), 0'(0(1(1(0(0(2(1(1(x0))))))))), 0'(1(1(0(0(2(1(1(x0)))))))), 1'(1(0(0(2(1(1(x0))))))), 1'(0(0(2(1(1(x0)))))), 0'(0(2(1(1(x0))))), 0'(2(1(1(x0)))), 1'(1(x0)), 1'(x0))
   0'(c_0(c_1(c_0(2(2(c_1(2(c_0(c_0(c_1(c_1(2(2(2(c_1(c_1(2(c_1(c_1(x0)))))))))))))))))))) -> c7(0'(2(0(2(2(0(0(1(2(0(2(0(0(1(1(0(0(2(c_1(1(x0)))))))))))))))))))), 0'(2(2(0(0(1(2(0(2(0(0(1(1(0(0(2(1(1(x0)))))))))))))))))), 0'(0(1(2(0(2(0(0(1(1(0(0(2(1(1(x0))))))))))))))), 0'(1(2(0(2(0(0(1(1(0(0(2(1(1(x0)))))))))))))), 1'(2(0(2(0(0(1(1(0(0(2(1(1(x0))))))))))))), 0'(2(0(0(1(1(0(0(2(1(1(x0))))))))))), 0'(0(1(1(0(0(2(1(1(x0))))))))), 0'(1(1(0(0(2(1(1(x0)))))))), 1'(1(0(0(2(1(1(x0))))))), 1'(0(0(2(1(1(x0)))))), 0'(0(2(1(1(x0))))), 0'(2(1(1(x0)))), 1'(1(x0)), 1'(x0))
   0'(c_0(c_1(c_0(2(2(c_1(2(c_0(c_0(c_1(c_1(2(2(2(c_1(c_1(2(c_1(c_1(z0)))))))))))))))))))) -> c7(0'(2(0(2(2(0(0(1(2(0(2(0(0(1(1(0(0(2(1(c_1(z0)))))))))))))))))))), 0'(2(2(0(0(1(2(0(2(0(0(1(1(0(0(2(1(1(z0)))))))))))))))))), 0'(0(1(2(0(2(0(0(1(1(0(0(2(1(1(z0))))))))))))))), 0'(1(2(0(2(0(0(1(1(0(0(2(1(1(z0)))))))))))))), 1'(2(0(2(0(0(1(1(0(0(2(1(1(z0))))))))))))), 0'(2(0(0(1(1(0(0(2(1(1(z0))))))))))), 0'(0(1(1(0(0(2(1(1(z0))))))))), 0'(1(1(0(0(2(1(1(z0)))))))), 1'(1(0(0(2(1(1(z0))))))), 1'(0(0(2(1(1(z0)))))), 0'(0(2(1(1(z0))))), 0'(2(1(1(z0)))), 1'(1(z0)), 1'(z0))
   0'(c_0(c_1(c_0(2(2(c_1(2(c_0(c_0(c_1(c_1(2(2(2(c_1(c_1(2(c_1(c_1(2(2(c_0(2(c_0(2(c_1(2(c_1(2(c_1(c_0(c_0(c_1(c_0(c_0(2(c_0(c_1(z0))))))))))))))))))))))))))))))))))))))) -> c7(0'(2(0(2(2(0(0(1(2(0(2(0(0(1(1(0(0(2(1(1(0(1(2(0(1(0(0(1(0(0(0(2(1(0(0(1(0(0(2(z0))))))))))))))))))))))))))))))))))))))), 0'(2(2(0(0(1(2(0(2(0(0(1(1(0(0(2(1(1(2(2(c_0(2(c_0(2(c_1(2(c_1(2(c_1(c_0(c_0(c_1(c_0(c_0(2(c_0(c_1(z0))))))))))))))))))))))))))))))))))))), 0'(0(1(2(0(2(0(0(1(1(0(0(2(1(1(2(2(c_0(2(c_0(2(c_1(2(c_1(2(c_1(c_0(c_0(c_1(c_0(c_0(2(c_0(c_1(z0)))))))))))))))))))))))))))))))))), 0'(1(2(0(2(0(0(1(1(0(0(2(1(1(2(2(c_0(2(c_0(2(c_1(2(c_1(2(c_1(c_0(c_0(c_1(c_0(c_0(2(c_0(c_1(z0))))))))))))))))))))))))))))))))), 1'(2(0(2(0(0(1(1(0(0(2(1(1(2(2(c_0(2(c_0(2(c_1(2(c_1(2(c_1(c_0(c_0(c_1(c_0(c_0(2(c_0(c_1(z0)))))))))))))))))))))))))))))))), 0'(2(0(0(1(1(0(0(2(1(1(2(2(c_0(2(c_0(2(c_1(2(c_1(2(c_1(c_0(c_0(c_1(c_0(c_0(2(c_0(c_1(z0)))))))))))))))))))))))))))))), 0'(0(1(1(0(0(2(1(1(2(2(c_0(2(c_0(2(c_1(2(c_1(2(c_1(c_0(c_0(c_1(c_0(c_0(2(c_0(c_1(z0)))))))))))))))))))))))))))), 0'(1(1(0(0(2(1(1(2(2(c_0(2(c_0(2(c_1(2(c_1(2(c_1(c_0(c_0(c_1(c_0(c_0(2(c_0(c_1(z0))))))))))))))))))))))))))), 1'(1(0(0(2(1(1(2(2(c_0(2(c_0(2(c_1(2(c_1(2(c_1(c_0(c_0(c_1(c_0(c_0(2(c_0(c_1(z0)))))))))))))))))))))))))), 1'(0(0(2(1(1(2(2(c_0(2(c_0(2(c_1(2(c_1(2(c_1(c_0(c_0(c_1(c_0(c_0(2(c_0(c_1(z0))))))))))))))))))))))))), 0'(0(2(1(1(2(2(c_0(2(c_0(2(c_1(2(c_1(2(c_1(c_0(c_0(c_1(c_0(c_0(2(c_0(c_1(z0)))))))))))))))))))))))), 0'(2(1(1(2(2(c_0(2(c_0(2(c_1(2(c_1(2(c_1(c_0(c_0(c_1(c_0(c_0(2(c_0(c_1(z0))))))))))))))))))))))), 1'(1(2(2(c_0(2(c_0(2(c_1(2(c_1(2(c_1(c_0(c_0(c_1(c_0(c_0(2(c_0(c_1(z0))))))))))))))))))))), 1'(2(2(c_0(2(c_0(2(c_1(2(c_1(2(c_1(c_0(c_0(c_1(c_0(c_0(2(c_0(c_1(z0)))))))))))))))))))))
K tuples:none
Defined Rule Symbols:   encArg_1, 0_1, 1_1

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

Compound Symbols:   c_1, c8_13, c10_13, c11_13, c12_15, c13_10, c14_13, c15_12, c16_14, c17_13, c18_13, c19_16, c20_13, c23_16, c24_12, c25_15, c26_14, c27_14, c28_14, c29_14, c30_12, c32_16, c33_14, c34_15, c35_11, c36_16, c37_16, c38_13, c39_15, c41_16, c42_11, c43_16, c44_12, c45_16, c46_15, c47_18, c48_10, c49_14, c50_13, c51_15, c52_15, c53_14, c54_15, c55_15, c56_13, c57_9, c58_11, c59_14, c60_13, c62_16, c64_15, c66_16, c67_14, c68_15, c69_14, c70_13, c71_13, c72_16, c73_15, c76_12, c77_15, c78_15, c79_16, c80_14, c83_16, c84_14, c85_15, c88_16, c89_12, c90_13, c93_14, c94_12, c95_11, c98_13, c99_15, c100_13, c101_17, c102_14, c103_11, c104_14, c106_17, c9_12, c21_10, c22_8, c31_15, c40_11, c61_13, c63_10, c65_11, c74_14, c75_7, c81_9, c82_11, c86_10, c87_12, c91_12, c92_13, c96_10, c97_12, c5_1, c1_2, c2_2, c7_14


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

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

(56)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(2(z0)) -> 2(encArg(z0))
   encArg(cons_0(z0)) -> 0(encArg(z0))
   encArg(cons_1(z0)) -> 1(encArg(z0))
   0(z0) -> c_0(z0)
   0(c_0(c_1(c_0(2(2(c_1(2(c_0(c_0(c_1(c_1(2(2(2(c_1(c_1(2(c_1(c_1(z0)))))))))))))))))))) -> 0(2(0(2(2(0(0(1(2(0(2(0(0(1(1(0(0(2(1(1(z0))))))))))))))))))))
   0(c_1(c_0(c_1(2(c_1(c_1(c_1(c_0(c_0(c_1(c_1(2(2(2(c_0(2(c_0(c_1(2(z0)))))))))))))))))))) -> 0(2(1(1(2(1(0(2(0(1(1(0(2(0(1(0(2(2(0(2(z0))))))))))))))))))))
   0(2(c_1(c_1(c_1(c_0(2(c_1(c_1(c_0(c_1(c_0(2(2(c_0(c_0(2(c_0(2(c_1(z0)))))))))))))))))))) -> 0(1(0(1(2(2(2(1(1(0(2(2(1(2(0(0(0(0(2(1(z0))))))))))))))))))))
   0(c_1(c_0(2(2(c_1(c_1(c_0(c_1(c_0(2(2(c_1(c_0(2(c_0(c_1(c_0(c_1(c_1(z0)))))))))))))))))))) -> 0(1(2(0(0(2(2(0(0(0(0(2(1(2(1(0(1(2(0(2(z0))))))))))))))))))))
   0(2(c_1(2(c_0(c_1(c_1(c_1(2(c_0(c_1(c_1(2(c_1(2(c_0(2(c_0(2(c_0(z0)))))))))))))))))))) -> 0(1(2(1(1(0(1(1(2(1(2(0(1(0(1(2(2(0(2(2(z0))))))))))))))))))))
   0(c_0(c_1(c_0(c_0(c_1(c_1(2(c_1(c_1(2(2(c_1(c_1(2(2(c_1(c_1(c_0(2(z0)))))))))))))))))))) -> 0(1(1(0(0(2(0(0(2(0(2(1(1(1(1(1(0(2(0(2(z0))))))))))))))))))))
   0(c_1(c_1(c_0(c_1(c_0(2(c_1(c_1(2(2(c_0(2(c_0(2(c_0(2(2(c_0(c_1(z0)))))))))))))))))))) -> 0(2(0(2(1(0(0(1(2(2(1(2(2(1(2(2(1(2(2(0(z0))))))))))))))))))))
   0(c_1(c_0(c_1(c_1(c_1(c_1(2(c_0(2(2(2(2(2(2(c_1(c_0(2(c_0(c_1(z0)))))))))))))))))))) -> 0(0(0(2(2(1(0(0(1(2(1(0(2(2(1(0(0(2(2(1(z0))))))))))))))))))))
   0(c_0(2(2(c_0(c_0(c_1(c_0(2(2(c_1(c_1(2(2(c_1(c_0(2(2(c_0(c_1(z0)))))))))))))))))))) -> 0(2(0(2(2(1(0(0(2(2(1(2(1(1(0(0(2(0(2(1(z0))))))))))))))))))))
   0(c_0(2(2(c_1(c_1(c_1(c_0(c_1(c_0(c_1(c_0(c_1(2(2(2(c_1(2(c_0(c_0(z0)))))))))))))))))))) -> 0(1(0(2(0(2(2(1(0(1(0(2(1(2(1(0(1(1(1(2(z0))))))))))))))))))))
   0(c_1(c_1(c_0(c_0(2(c_0(2(c_1(c_1(c_1(2(c_1(2(c_1(c_0(c_0(c_1(c_1(c_1(z0)))))))))))))))))))) -> 0(1(0(0(2(2(0(0(2(2(0(2(0(0(1(2(1(0(1(2(z0))))))))))))))))))))
   0(c_1(c_1(c_0(2(c_1(2(c_1(c_1(c_0(c_1(c_1(2(c_1(c_0(c_1(c_0(c_1(c_1(c_1(z0)))))))))))))))))))) -> 0(1(1(1(2(1(2(2(0(1(1(0(2(2(0(0(2(1(0(2(z0))))))))))))))))))))
   0(2(c_1(c_1(c_1(2(2(c_0(c_0(c_0(2(c_1(c_0(c_1(2(2(c_1(c_0(2(c_0(z0)))))))))))))))))))) -> 0(1(0(1(0(0(0(1(0(2(1(1(0(0(2(1(2(0(2(1(z0))))))))))))))))))))
   0(c_0(c_0(2(c_1(2(2(c_0(c_1(c_1(c_0(c_0(c_1(c_1(2(c_1(c_0(2(2(c_1(z0)))))))))))))))))))) -> 0(2(0(1(1(2(0(1(2(1(2(1(0(2(2(0(2(0(1(0(z0))))))))))))))))))))
   0(c_0(2(c_0(2(c_1(c_1(2(c_1(c_1(c_1(c_1(c_1(c_0(c_1(c_1(c_1(2(2(c_1(z0)))))))))))))))))))) -> 0(2(0(0(2(1(1(2(2(0(2(0(1(2(2(2(1(1(1(2(z0))))))))))))))))))))
   0(2(c_0(c_1(c_1(c_1(c_0(c_1(2(2(c_0(2(c_0(2(c_0(2(c_1(2(c_0(c_1(z0)))))))))))))))))))) -> 0(2(2(0(1(2(2(2(2(1(0(2(1(2(0(0(2(2(2(1(z0))))))))))))))))))))
   0(c_0(2(c_1(c_0(c_1(c_0(c_0(2(c_0(c_1(c_1(c_0(2(c_0(2(2(2(2(c_0(z0)))))))))))))))))))) -> 0(2(2(0(0(0(2(1(0(0(0(1(1(2(0(1(1(0(0(0(z0))))))))))))))))))))
   0(c_1(c_1(c_0(2(2(c_0(c_1(2(2(2(c_0(2(2(c_1(2(c_1(2(c_1(c_0(z0)))))))))))))))))))) -> 0(0(2(0(0(2(0(2(1(0(2(2(2(0(0(0(2(1(1(2(z0))))))))))))))))))))
   0(c_1(c_0(2(c_0(c_0(c_1(2(2(2(c_1(2(2(2(c_0(c_0(c_0(c_1(2(2(z0)))))))))))))))))))) -> 0(1(0(1(1(2(1(0(0(1(0(0(2(2(2(1(0(2(0(0(z0))))))))))))))))))))
   0(c_1(c_1(2(c_1(c_1(c_1(c_1(c_0(c_0(c_0(c_0(c_1(c_1(c_0(c_1(c_0(c_1(c_1(c_0(z0)))))))))))))))))))) -> 0(0(0(1(0(1(0(1(1(1(2(0(1(2(2(0(2(2(0(2(z0))))))))))))))))))))
   0(c_0(2(c_0(c_0(c_0(2(c_1(2(2(2(c_1(c_1(c_1(c_0(2(c_1(c_1(c_0(c_0(z0)))))))))))))))))))) -> 0(2(0(1(2(0(1(2(0(1(0(1(2(2(1(2(1(0(0(0(z0))))))))))))))))))))
   0(c_1(c_0(2(c_1(c_1(c_1(c_0(2(2(c_1(c_1(c_1(c_1(2(c_0(2(c_1(c_0(c_0(z0)))))))))))))))))))) -> 0(2(1(0(2(0(0(1(2(2(0(0(0(1(1(1(1(0(2(2(z0))))))))))))))))))))
   0(2(c_1(c_1(c_0(2(c_1(c_1(c_1(c_1(2(2(c_0(c_1(c_1(c_1(2(2(c_1(c_1(z0)))))))))))))))))))) -> 0(0(2(0(0(1(0(2(2(1(0(1(1(0(0(2(0(2(2(1(z0))))))))))))))))))))
   0(c_0(2(2(2(c_0(c_1(c_0(c_1(c_1(c_1(c_0(c_1(c_0(c_0(c_0(c_1(c_1(2(c_0(z0)))))))))))))))))))) -> 0(2(0(2(2(2(2(0(2(2(1(0(0(0(0(0(0(2(0(0(z0))))))))))))))))))))
   0(2(c_0(2(c_1(c_0(c_0(c_1(2(c_0(2(c_0(c_1(c_0(c_1(c_1(c_1(2(2(c_1(z0)))))))))))))))))))) -> 0(0(1(0(1(0(1(1(2(1(0(0(0(1(2(2(2(0(1(0(z0))))))))))))))))))))
   0(2(c_0(2(c_1(2(c_1(2(2(c_0(2(c_1(c_1(c_1(2(c_1(c_1(c_1(c_1(c_1(z0)))))))))))))))))))) -> 0(1(1(1(0(2(1(0(1(2(1(0(0(0(2(1(1(2(0(1(z0))))))))))))))))))))
   0(2(c_1(c_0(c_1(2(2(c_0(c_0(c_1(2(c_0(2(2(2(2(2(2(c_1(c_1(z0)))))))))))))))))))) -> 0(0(0(1(2(2(0(0(0(1(2(0(0(0(2(2(0(1(0(2(z0))))))))))))))))))))
   0(2(2(c_1(c_1(2(c_0(c_1(c_0(c_1(c_0(2(c_0(c_1(c_0(c_1(c_0(2(c_1(c_1(z0)))))))))))))))))))) -> 0(1(1(0(0(1(1(0(0(2(2(1(1(2(2(0(0(0(2(0(z0))))))))))))))))))))
   0(2(c_0(c_0(c_0(2(c_1(c_1(c_0(2(2(c_1(c_1(c_0(c_0(c_0(c_0(c_1(c_0(c_0(z0)))))))))))))))))))) -> 0(0(2(1(0(0(0(2(2(2(2(0(0(2(0(2(1(2(1(2(z0))))))))))))))))))))
   0(c_1(c_0(c_0(c_1(c_1(c_1(c_0(c_1(c_1(2(c_1(c_1(c_1(2(2(c_1(2(2(c_1(z0)))))))))))))))))))) -> 0(0(1(1(1(2(1(0(2(0(0(0(1(2(2(0(0(1(1(1(z0))))))))))))))))))))
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   0(c_0(c_1(c_0(2(c_1(2(2(2(2(c_0(c_1(2(c_0(c_1(c_1(2(2(c_0(2(z0)))))))))))))))))))) -> 0(0(2(1(1(0(0(2(2(2(0(1(2(2(0(1(2(2(0(2(z0))))))))))))))))))))
   0(c_1(c_1(c_0(c_1(2(c_1(2(c_0(2(2(c_1(c_0(c_0(2(c_0(c_1(c_0(c_1(c_1(z0)))))))))))))))))))) -> 0(0(0(1(2(0(2(2(2(0(1(0(1(2(1(1(1(0(2(0(z0))))))))))))))))))))
   1(z0) -> c_1(z0)
   1(2(2(c_0(2(c_0(2(c_1(2(c_1(2(c_1(c_0(c_0(c_1(c_0(c_0(2(c_0(c_1(z0)))))))))))))))))))) -> 1(0(1(2(0(1(0(0(1(0(0(0(2(1(0(0(1(0(0(2(z0))))))))))))))))))))
Tuples:
   ENCARG(2(z0)) -> c(ENCARG(z0))
   0'(c_1(c_0(c_1(2(c_1(c_1(c_1(c_0(c_0(c_1(c_1(2(2(2(c_0(2(c_0(c_1(2(z0)))))))))))))))))))) -> c8(0'(2(1(1(2(1(0(2(0(1(1(0(2(0(1(0(2(2(0(2(z0)))))))))))))))))))), 1'(1(2(1(0(2(0(1(1(0(2(0(1(0(2(2(0(2(z0)))))))))))))))))), 1'(2(1(0(2(0(1(1(0(2(0(1(0(2(2(0(2(z0))))))))))))))))), 1'(0(2(0(1(1(0(2(0(1(0(2(2(0(2(z0))))))))))))))), 0'(2(0(1(1(0(2(0(1(0(2(2(0(2(z0)))))))))))))), 0'(1(1(0(2(0(1(0(2(2(0(2(z0)))))))))))), 1'(1(0(2(0(1(0(2(2(0(2(z0))))))))))), 1'(0(2(0(1(0(2(2(0(2(z0)))))))))), 0'(2(0(1(0(2(2(0(2(z0))))))))), 0'(1(0(2(2(0(2(z0))))))), 1'(0(2(2(0(2(z0)))))), 0'(2(2(0(2(z0))))), 0'(2(z0)))
   0'(c_1(c_0(2(2(c_1(c_1(c_0(c_1(c_0(2(2(c_1(c_0(2(c_0(c_1(c_0(c_1(c_1(z0)))))))))))))))))))) -> c10(0'(1(2(0(0(2(2(0(0(0(0(2(1(2(1(0(1(2(0(2(z0)))))))))))))))))))), 1'(2(0(0(2(2(0(0(0(0(2(1(2(1(0(1(2(0(2(z0))))))))))))))))))), 0'(0(2(2(0(0(0(0(2(1(2(1(0(1(2(0(2(z0))))))))))))))))), 0'(2(2(0(0(0(0(2(1(2(1(0(1(2(0(2(z0)))))))))))))))), 0'(0(0(0(2(1(2(1(0(1(2(0(2(z0))))))))))))), 0'(0(0(2(1(2(1(0(1(2(0(2(z0)))))))))))), 0'(0(2(1(2(1(0(1(2(0(2(z0))))))))))), 0'(2(1(2(1(0(1(2(0(2(z0)))))))))), 1'(2(1(0(1(2(0(2(z0)))))))), 1'(0(1(2(0(2(z0)))))), 0'(1(2(0(2(z0))))), 1'(2(0(2(z0)))), 0'(2(z0)))
   0'(2(c_1(2(c_0(c_1(c_1(c_1(2(c_0(c_1(c_1(2(c_1(2(c_0(2(c_0(2(c_0(z0)))))))))))))))))))) -> c11(0'(1(2(1(1(0(1(1(2(1(2(0(1(0(1(2(2(0(2(2(z0)))))))))))))))))))), 1'(2(1(1(0(1(1(2(1(2(0(1(0(1(2(2(0(2(2(z0))))))))))))))))))), 1'(1(0(1(1(2(1(2(0(1(0(1(2(2(0(2(2(z0))))))))))))))))), 1'(0(1(1(2(1(2(0(1(0(1(2(2(0(2(2(z0)))))))))))))))), 0'(1(1(2(1(2(0(1(0(1(2(2(0(2(2(z0))))))))))))))), 1'(1(2(1(2(0(1(0(1(2(2(0(2(2(z0)))))))))))))), 1'(2(1(2(0(1(0(1(2(2(0(2(2(z0))))))))))))), 1'(2(0(1(0(1(2(2(0(2(2(z0))))))))))), 0'(1(0(1(2(2(0(2(2(z0))))))))), 1'(0(1(2(2(0(2(2(z0)))))))), 0'(1(2(2(0(2(2(z0))))))), 1'(2(2(0(2(2(z0)))))), 0'(2(2(z0))))
   0'(c_0(c_1(c_0(c_0(c_1(c_1(2(c_1(c_1(2(2(c_1(c_1(2(2(c_1(c_1(c_0(2(z0)))))))))))))))))))) -> c12(0'(1(1(0(0(2(0(0(2(0(2(1(1(1(1(1(0(2(0(2(z0)))))))))))))))))))), 1'(1(0(0(2(0(0(2(0(2(1(1(1(1(1(0(2(0(2(z0))))))))))))))))))), 1'(0(0(2(0(0(2(0(2(1(1(1(1(1(0(2(0(2(z0)))))))))))))))))), 0'(0(2(0(0(2(0(2(1(1(1(1(1(0(2(0(2(z0))))))))))))))))), 0'(2(0(0(2(0(2(1(1(1(1(1(0(2(0(2(z0)))))))))))))))), 0'(0(2(0(2(1(1(1(1(1(0(2(0(2(z0)))))))))))))), 0'(2(0(2(1(1(1(1(1(0(2(0(2(z0))))))))))))), 0'(2(1(1(1(1(1(0(2(0(2(z0))))))))))), 1'(1(1(1(1(0(2(0(2(z0))))))))), 1'(1(1(1(0(2(0(2(z0)))))))), 1'(1(1(0(2(0(2(z0))))))), 1'(1(0(2(0(2(z0)))))), 1'(0(2(0(2(z0))))), 0'(2(0(2(z0)))), 0'(2(z0)))
   0'(c_1(c_1(c_0(c_1(c_0(2(c_1(c_1(2(2(c_0(2(c_0(2(c_0(2(2(c_0(c_1(z0)))))))))))))))))))) -> c13(0'(2(0(2(1(0(0(1(2(2(1(2(2(1(2(2(1(2(2(0(z0)))))))))))))))))))), 0'(2(1(0(0(1(2(2(1(2(2(1(2(2(1(2(2(0(z0)))))))))))))))))), 1'(0(0(1(2(2(1(2(2(1(2(2(1(2(2(0(z0)))))))))))))))), 0'(0(1(2(2(1(2(2(1(2(2(1(2(2(0(z0))))))))))))))), 0'(1(2(2(1(2(2(1(2(2(1(2(2(0(z0)))))))))))))), 1'(2(2(1(2(2(1(2(2(1(2(2(0(z0))))))))))))), 1'(2(2(1(2(2(1(2(2(0(z0)))))))))), 1'(2(2(1(2(2(0(z0))))))), 1'(2(2(0(z0)))), 0'(z0))
   0'(c_1(c_0(c_1(c_1(c_1(c_1(2(c_0(2(2(2(2(2(2(c_1(c_0(2(c_0(c_1(z0)))))))))))))))))))) -> c14(0'(0(0(2(2(1(0(0(1(2(1(0(2(2(1(0(0(2(2(1(z0)))))))))))))))))))), 0'(0(2(2(1(0(0(1(2(1(0(2(2(1(0(0(2(2(1(z0))))))))))))))))))), 0'(2(2(1(0(0(1(2(1(0(2(2(1(0(0(2(2(1(z0)))))))))))))))))), 1'(0(0(1(2(1(0(2(2(1(0(0(2(2(1(z0))))))))))))))), 0'(0(1(2(1(0(2(2(1(0(0(2(2(1(z0)))))))))))))), 0'(1(2(1(0(2(2(1(0(0(2(2(1(z0))))))))))))), 1'(2(1(0(2(2(1(0(0(2(2(1(z0)))))))))))), 1'(0(2(2(1(0(0(2(2(1(z0)))))))))), 0'(2(2(1(0(0(2(2(1(z0))))))))), 1'(0(0(2(2(1(z0)))))), 0'(0(2(2(1(z0))))), 0'(2(2(1(z0)))), 1'(z0))
   0'(c_0(2(2(c_0(c_0(c_1(c_0(2(2(c_1(c_1(2(2(c_1(c_0(2(2(c_0(c_1(z0)))))))))))))))))))) -> c15(0'(2(0(2(2(1(0(0(2(2(1(2(1(1(0(0(2(0(2(1(z0)))))))))))))))))))), 0'(2(2(1(0(0(2(2(1(2(1(1(0(0(2(0(2(1(z0)))))))))))))))))), 1'(0(0(2(2(1(2(1(1(0(0(2(0(2(1(z0))))))))))))))), 0'(0(2(2(1(2(1(1(0(0(2(0(2(1(z0)))))))))))))), 0'(2(2(1(2(1(1(0(0(2(0(2(1(z0))))))))))))), 1'(2(1(1(0(0(2(0(2(1(z0)))))))))), 1'(1(0(0(2(0(2(1(z0)))))))), 1'(0(0(2(0(2(1(z0))))))), 0'(0(2(0(2(1(z0)))))), 0'(2(0(2(1(z0))))), 0'(2(1(z0))), 1'(z0))
   0'(c_0(2(2(c_1(c_1(c_1(c_0(c_1(c_0(c_1(c_0(c_1(2(2(2(c_1(2(c_0(c_0(z0)))))))))))))))))))) -> c16(0'(1(0(2(0(2(2(1(0(1(0(2(1(2(1(0(1(1(1(2(z0)))))))))))))))))))), 1'(0(2(0(2(2(1(0(1(0(2(1(2(1(0(1(1(1(2(z0))))))))))))))))))), 0'(2(0(2(2(1(0(1(0(2(1(2(1(0(1(1(1(2(z0)))))))))))))))))), 0'(2(2(1(0(1(0(2(1(2(1(0(1(1(1(2(z0)))))))))))))))), 1'(0(1(0(2(1(2(1(0(1(1(1(2(z0))))))))))))), 0'(1(0(2(1(2(1(0(1(1(1(2(z0)))))))))))), 1'(0(2(1(2(1(0(1(1(1(2(z0))))))))))), 0'(2(1(2(1(0(1(1(1(2(z0)))))))))), 1'(2(1(0(1(1(1(2(z0)))))))), 1'(0(1(1(1(2(z0)))))), 0'(1(1(1(2(z0))))), 1'(1(1(2(z0)))), 1'(1(2(z0))), 1'(2(z0)))
   0'(c_1(c_1(c_0(c_0(2(c_0(2(c_1(c_1(c_1(2(c_1(2(c_1(c_0(c_0(c_1(c_1(c_1(z0)))))))))))))))))))) -> c17(0'(1(0(0(2(2(0(0(2(2(0(2(0(0(1(2(1(0(1(2(z0)))))))))))))))))))), 1'(0(0(2(2(0(0(2(2(0(2(0(0(1(2(1(0(1(2(z0))))))))))))))))))), 0'(0(2(2(0(0(2(2(0(2(0(0(1(2(1(0(1(2(z0)))))))))))))))))), 0'(2(2(0(0(2(2(0(2(0(0(1(2(1(0(1(2(z0))))))))))))))))), 0'(0(2(2(0(2(0(0(1(2(1(0(1(2(z0)))))))))))))), 0'(2(2(0(2(0(0(1(2(1(0(1(2(z0))))))))))))), 0'(2(0(0(1(2(1(0(1(2(z0)))))))))), 0'(0(1(2(1(0(1(2(z0)))))))), 0'(1(2(1(0(1(2(z0))))))), 1'(2(1(0(1(2(z0)))))), 1'(0(1(2(z0)))), 0'(1(2(z0))), 1'(2(z0)))
   0'(c_1(c_1(c_0(2(c_1(2(c_1(c_1(c_0(c_1(c_1(2(c_1(c_0(c_1(c_0(c_1(c_1(c_1(z0)))))))))))))))))))) -> c18(0'(1(1(1(2(1(2(2(0(1(1(0(2(2(0(0(2(1(0(2(z0)))))))))))))))))))), 1'(1(1(2(1(2(2(0(1(1(0(2(2(0(0(2(1(0(2(z0))))))))))))))))))), 1'(1(2(1(2(2(0(1(1(0(2(2(0(0(2(1(0(2(z0)))))))))))))))))), 1'(2(1(2(2(0(1(1(0(2(2(0(0(2(1(0(2(z0))))))))))))))))), 1'(2(2(0(1(1(0(2(2(0(0(2(1(0(2(z0))))))))))))))), 0'(1(1(0(2(2(0(0(2(1(0(2(z0)))))))))))), 1'(1(0(2(2(0(0(2(1(0(2(z0))))))))))), 1'(0(2(2(0(0(2(1(0(2(z0)))))))))), 0'(2(2(0(0(2(1(0(2(z0))))))))), 0'(0(2(1(0(2(z0)))))), 0'(2(1(0(2(z0))))), 1'(0(2(z0))), 0'(2(z0)))
   0'(2(c_1(c_1(c_1(2(2(c_0(c_0(c_0(2(c_1(c_0(c_1(2(2(c_1(c_0(2(c_0(z0)))))))))))))))))))) -> c19(0'(1(0(1(0(0(0(1(0(2(1(1(0(0(2(1(2(0(2(1(z0)))))))))))))))))))), 1'(0(1(0(0(0(1(0(2(1(1(0(0(2(1(2(0(2(1(z0))))))))))))))))))), 0'(1(0(0(0(1(0(2(1(1(0(0(2(1(2(0(2(1(z0)))))))))))))))))), 1'(0(0(0(1(0(2(1(1(0(0(2(1(2(0(2(1(z0))))))))))))))))), 0'(0(0(1(0(2(1(1(0(0(2(1(2(0(2(1(z0)))))))))))))))), 0'(0(1(0(2(1(1(0(0(2(1(2(0(2(1(z0))))))))))))))), 0'(1(0(2(1(1(0(0(2(1(2(0(2(1(z0)))))))))))))), 1'(0(2(1(1(0(0(2(1(2(0(2(1(z0))))))))))))), 0'(2(1(1(0(0(2(1(2(0(2(1(z0)))))))))))), 1'(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))))))), 1'(2(0(2(1(z0))))), 0'(2(1(z0))), 1'(z0))
   0'(c_0(c_0(2(c_1(2(2(c_0(c_1(c_1(c_0(c_0(c_1(c_1(2(c_1(c_0(2(2(c_1(z0)))))))))))))))))))) -> c20(0'(2(0(1(1(2(0(1(2(1(2(1(0(2(2(0(2(0(1(0(z0)))))))))))))))))))), 0'(1(1(2(0(1(2(1(2(1(0(2(2(0(2(0(1(0(z0)))))))))))))))))), 1'(1(2(0(1(2(1(2(1(0(2(2(0(2(0(1(0(z0))))))))))))))))), 1'(2(0(1(2(1(2(1(0(2(2(0(2(0(1(0(z0)))))))))))))))), 0'(1(2(1(2(1(0(2(2(0(2(0(1(0(z0)))))))))))))), 1'(2(1(2(1(0(2(2(0(2(0(1(0(z0))))))))))))), 1'(2(1(0(2(2(0(2(0(1(0(z0))))))))))), 1'(0(2(2(0(2(0(1(0(z0))))))))), 0'(2(2(0(2(0(1(0(z0)))))))), 0'(2(0(1(0(z0))))), 0'(1(0(z0))), 1'(0(z0)), 0'(z0))
   0'(c_0(2(c_1(c_0(c_1(c_0(c_0(2(c_0(c_1(c_1(c_0(2(c_0(2(2(2(2(c_0(z0)))))))))))))))))))) -> c23(0'(2(2(0(0(0(2(1(0(0(0(1(1(2(0(1(1(0(0(0(z0)))))))))))))))))))), 0'(0(0(2(1(0(0(0(1(1(2(0(1(1(0(0(0(z0))))))))))))))))), 0'(0(2(1(0(0(0(1(1(2(0(1(1(0(0(0(z0)))))))))))))))), 0'(2(1(0(0(0(1(1(2(0(1(1(0(0(0(z0))))))))))))))), 1'(0(0(0(1(1(2(0(1(1(0(0(0(z0))))))))))))), 0'(0(0(1(1(2(0(1(1(0(0(0(z0)))))))))))), 0'(0(1(1(2(0(1(1(0(0(0(z0))))))))))), 0'(1(1(2(0(1(1(0(0(0(z0)))))))))), 1'(1(2(0(1(1(0(0(0(z0))))))))), 1'(2(0(1(1(0(0(0(z0)))))))), 0'(1(1(0(0(0(z0)))))), 1'(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(2(2(c_0(c_1(2(2(2(c_0(2(2(c_1(2(c_1(2(c_1(c_0(z0)))))))))))))))))))) -> c24(0'(0(2(0(0(2(0(2(1(0(2(2(2(0(0(0(2(1(1(2(z0)))))))))))))))))))), 0'(2(0(0(2(0(2(1(0(2(2(2(0(0(0(2(1(1(2(z0))))))))))))))))))), 0'(0(2(0(2(1(0(2(2(2(0(0(0(2(1(1(2(z0))))))))))))))))), 0'(2(0(2(1(0(2(2(2(0(0(0(2(1(1(2(z0)))))))))))))))), 0'(2(1(0(2(2(2(0(0(0(2(1(1(2(z0)))))))))))))), 1'(0(2(2(2(0(0(0(2(1(1(2(z0)))))))))))), 0'(2(2(2(0(0(0(2(1(1(2(z0))))))))))), 0'(0(0(2(1(1(2(z0))))))), 0'(0(2(1(1(2(z0)))))), 0'(2(1(1(2(z0))))), 1'(1(2(z0))), 1'(2(z0)))
   0'(c_1(c_0(2(c_0(c_0(c_1(2(2(2(c_1(2(2(2(c_0(c_0(c_0(c_1(2(2(z0)))))))))))))))))))) -> c25(0'(1(0(1(1(2(1(0(0(1(0(0(2(2(2(1(0(2(0(0(z0)))))))))))))))))))), 1'(0(1(1(2(1(0(0(1(0(0(2(2(2(1(0(2(0(0(z0))))))))))))))))))), 0'(1(1(2(1(0(0(1(0(0(2(2(2(1(0(2(0(0(z0)))))))))))))))))), 1'(1(2(1(0(0(1(0(0(2(2(2(1(0(2(0(0(z0))))))))))))))))), 1'(2(1(0(0(1(0(0(2(2(2(1(0(2(0(0(z0)))))))))))))))), 1'(0(0(1(0(0(2(2(2(1(0(2(0(0(z0)))))))))))))), 0'(0(1(0(0(2(2(2(1(0(2(0(0(z0))))))))))))), 0'(1(0(0(2(2(2(1(0(2(0(0(z0)))))))))))), 1'(0(0(2(2(2(1(0(2(0(0(z0))))))))))), 0'(0(2(2(2(1(0(2(0(0(z0)))))))))), 0'(2(2(2(1(0(2(0(0(z0))))))))), 1'(0(2(0(0(z0))))), 0'(2(0(0(z0)))), 0'(0(z0)), 0'(z0))
   0'(c_1(c_1(2(c_1(c_1(c_1(c_1(c_0(c_0(c_0(c_0(c_1(c_1(c_0(c_1(c_0(c_1(c_1(c_0(z0)))))))))))))))))))) -> c26(0'(0(0(1(0(1(0(1(1(1(2(0(1(2(2(0(2(2(0(2(z0)))))))))))))))))))), 0'(0(1(0(1(0(1(1(1(2(0(1(2(2(0(2(2(0(2(z0))))))))))))))))))), 0'(1(0(1(0(1(1(1(2(0(1(2(2(0(2(2(0(2(z0)))))))))))))))))), 1'(0(1(0(1(1(1(2(0(1(2(2(0(2(2(0(2(z0))))))))))))))))), 0'(1(0(1(1(1(2(0(1(2(2(0(2(2(0(2(z0)))))))))))))))), 1'(0(1(1(1(2(0(1(2(2(0(2(2(0(2(z0))))))))))))))), 0'(1(1(1(2(0(1(2(2(0(2(2(0(2(z0)))))))))))))), 1'(1(1(2(0(1(2(2(0(2(2(0(2(z0))))))))))))), 1'(1(2(0(1(2(2(0(2(2(0(2(z0)))))))))))), 1'(2(0(1(2(2(0(2(2(0(2(z0))))))))))), 0'(1(2(2(0(2(2(0(2(z0))))))))), 1'(2(2(0(2(2(0(2(z0)))))))), 0'(2(2(0(2(z0))))), 0'(2(z0)))
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   0'(c_0(c_1(c_1(c_1(c_1(c_0(2(2(2(2(c_1(c_1(2(2(2(c_1(c_1(2(c_1(z0)))))))))))))))))))) -> c38(0'(1(0(0(1(1(2(2(0(2(2(0(2(0(0(0(2(2(1(1(z0)))))))))))))))))))), 1'(0(0(1(1(2(2(0(2(2(0(2(0(0(0(2(2(1(1(z0))))))))))))))))))), 0'(0(1(1(2(2(0(2(2(0(2(0(0(0(2(2(1(1(z0)))))))))))))))))), 0'(1(1(2(2(0(2(2(0(2(0(0(0(2(2(1(1(z0))))))))))))))))), 1'(1(2(2(0(2(2(0(2(0(0(0(2(2(1(1(z0)))))))))))))))), 1'(2(2(0(2(2(0(2(0(0(0(2(2(1(1(z0))))))))))))))), 0'(2(2(0(2(0(0(0(2(2(1(1(z0)))))))))))), 0'(2(0(0(0(2(2(1(1(z0))))))))), 0'(0(0(2(2(1(1(z0))))))), 0'(0(2(2(1(1(z0)))))), 0'(2(2(1(1(z0))))), 1'(1(z0)), 1'(z0))
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   0'(c_0(c_0(c_0(c_1(2(c_0(2(c_0(c_1(2(2(c_1(c_1(c_1(c_1(c_1(c_0(2(2(z0)))))))))))))))))))) -> c52(0'(2(0(0(1(0(1(0(0(2(0(0(2(0(2(1(1(0(1(2(z0)))))))))))))))))))), 0'(0(1(0(1(0(0(2(0(0(2(0(2(1(1(0(1(2(z0)))))))))))))))))), 0'(1(0(1(0(0(2(0(0(2(0(2(1(1(0(1(2(z0))))))))))))))))), 1'(0(1(0(0(2(0(0(2(0(2(1(1(0(1(2(z0)))))))))))))))), 0'(1(0(0(2(0(0(2(0(2(1(1(0(1(2(z0))))))))))))))), 1'(0(0(2(0(0(2(0(2(1(1(0(1(2(z0)))))))))))))), 0'(0(2(0(0(2(0(2(1(1(0(1(2(z0))))))))))))), 0'(2(0(0(2(0(2(1(1(0(1(2(z0)))))))))))), 0'(0(2(0(2(1(1(0(1(2(z0)))))))))), 0'(2(0(2(1(1(0(1(2(z0))))))))), 0'(2(1(1(0(1(2(z0))))))), 1'(1(0(1(2(z0))))), 1'(0(1(2(z0)))), 0'(1(2(z0))), 1'(2(z0)))
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   0'(2(c_1(c_1(c_1(c_1(c_0(c_0(c_0(c_0(2(c_1(2(c_0(c_0(2(c_1(c_0(2(c_1(z0)))))))))))))))))))) -> c56(0'(0(0(1(0(1(1(2(0(2(0(0(2(2(2(2(1(0(2(1(z0)))))))))))))))))))), 0'(0(1(0(1(1(2(0(2(0(0(2(2(2(2(1(0(2(1(z0))))))))))))))))))), 0'(1(0(1(1(2(0(2(0(0(2(2(2(2(1(0(2(1(z0)))))))))))))))))), 1'(0(1(1(2(0(2(0(0(2(2(2(2(1(0(2(1(z0))))))))))))))))), 0'(1(1(2(0(2(0(0(2(2(2(2(1(0(2(1(z0)))))))))))))))), 1'(1(2(0(2(0(0(2(2(2(2(1(0(2(1(z0))))))))))))))), 1'(2(0(2(0(0(2(2(2(2(1(0(2(1(z0)))))))))))))), 0'(2(0(0(2(2(2(2(1(0(2(1(z0)))))))))))), 0'(0(2(2(2(2(1(0(2(1(z0)))))))))), 0'(2(2(2(2(1(0(2(1(z0))))))))), 1'(0(2(1(z0)))), 0'(2(1(z0))), 1'(z0))
   0'(c_1(c_0(c_0(2(2(c_0(c_1(2(2(c_1(2(c_1(c_0(c_1(2(2(2(c_1(c_0(z0)))))))))))))))))))) -> c57(0'(0(2(2(0(2(2(2(1(0(2(1(2(0(2(2(0(0(2(2(z0)))))))))))))))))))), 0'(2(2(0(2(2(2(1(0(2(1(2(0(2(2(0(0(2(2(z0))))))))))))))))))), 0'(2(2(2(1(0(2(1(2(0(2(2(0(0(2(2(z0)))))))))))))))), 1'(0(2(1(2(0(2(2(0(0(2(2(z0)))))))))))), 0'(2(1(2(0(2(2(0(0(2(2(z0))))))))))), 1'(2(0(2(2(0(0(2(2(z0))))))))), 0'(2(2(0(0(2(2(z0))))))), 0'(0(2(2(z0)))), 0'(2(2(z0))))
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   0'(c_1(c_0(c_1(c_0(c_1(c_1(c_0(c_0(c_0(c_1(c_0(2(c_1(c_1(2(c_0(c_1(c_0(c_1(z0)))))))))))))))))))) -> c93(0'(0(2(1(1(0(0(2(0(2(1(0(1(1(0(2(2(0(1(2(z0)))))))))))))))))))), 0'(2(1(1(0(0(2(0(2(1(0(1(1(0(2(2(0(1(2(z0))))))))))))))))))), 1'(1(0(0(2(0(2(1(0(1(1(0(2(2(0(1(2(z0))))))))))))))))), 1'(0(0(2(0(2(1(0(1(1(0(2(2(0(1(2(z0)))))))))))))))), 0'(0(2(0(2(1(0(1(1(0(2(2(0(1(2(z0))))))))))))))), 0'(2(0(2(1(0(1(1(0(2(2(0(1(2(z0)))))))))))))), 0'(2(1(0(1(1(0(2(2(0(1(2(z0)))))))))))), 1'(0(1(1(0(2(2(0(1(2(z0)))))))))), 0'(1(1(0(2(2(0(1(2(z0))))))))), 1'(1(0(2(2(0(1(2(z0)))))))), 1'(0(2(2(0(1(2(z0))))))), 0'(2(2(0(1(2(z0)))))), 0'(1(2(z0))), 1'(2(z0)))
   0'(c_0(c_1(2(2(c_0(c_1(c_1(2(c_0(c_0(2(2(c_1(c_0(2(c_1(2(c_1(c_0(z0)))))))))))))))))))) -> c94(0'(2(2(0(2(0(2(1(0(2(0(0(2(2(1(0(0(0(2(0(z0)))))))))))))))))))), 0'(2(0(2(1(0(2(0(0(2(2(1(0(0(0(2(0(z0))))))))))))))))), 0'(2(1(0(2(0(0(2(2(1(0(0(0(2(0(z0))))))))))))))), 1'(0(2(0(0(2(2(1(0(0(0(2(0(z0))))))))))))), 0'(2(0(0(2(2(1(0(0(0(2(0(z0)))))))))))), 0'(0(2(2(1(0(0(0(2(0(z0)))))))))), 0'(2(2(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))), 0'(z0))
   0'(c_0(c_0(2(2(c_1(c_1(2(2(c_0(c_0(2(c_1(2(c_0(c_1(c_1(c_0(2(2(z0)))))))))))))))))))) -> c95(0'(2(2(2(1(0(0(2(1(2(1(2(1(2(1(1(1(2(0(2(z0)))))))))))))))))))), 1'(0(0(2(1(2(1(2(1(2(1(1(1(2(0(2(z0)))))))))))))))), 0'(0(2(1(2(1(2(1(2(1(1(1(2(0(2(z0))))))))))))))), 0'(2(1(2(1(2(1(2(1(1(1(2(0(2(z0)))))))))))))), 1'(2(1(2(1(2(1(1(1(2(0(2(z0)))))))))))), 1'(2(1(2(1(1(1(2(0(2(z0)))))))))), 1'(2(1(1(1(2(0(2(z0)))))))), 1'(1(1(2(0(2(z0)))))), 1'(1(2(0(2(z0))))), 1'(2(0(2(z0)))), 0'(2(z0)))
   0'(c_1(c_1(c_1(2(2(c_1(2(c_1(c_1(c_1(c_0(c_0(c_1(c_1(c_1(2(c_1(c_1(c_0(z0)))))))))))))))))))) -> c98(0'(0(1(0(2(0(1(1(1(2(0(2(1(2(2(0(2(1(2(1(z0)))))))))))))))))))), 0'(1(0(2(0(1(1(1(2(0(2(1(2(2(0(2(1(2(1(z0))))))))))))))))))), 1'(0(2(0(1(1(1(2(0(2(1(2(2(0(2(1(2(1(z0)))))))))))))))))), 0'(2(0(1(1(1(2(0(2(1(2(2(0(2(1(2(1(z0))))))))))))))))), 0'(1(1(1(2(0(2(1(2(2(0(2(1(2(1(z0))))))))))))))), 1'(1(1(2(0(2(1(2(2(0(2(1(2(1(z0)))))))))))))), 1'(1(2(0(2(1(2(2(0(2(1(2(1(z0))))))))))))), 1'(2(0(2(1(2(2(0(2(1(2(1(z0)))))))))))), 0'(2(1(2(2(0(2(1(2(1(z0)))))))))), 1'(2(2(0(2(1(2(1(z0)))))))), 0'(2(1(2(1(z0))))), 1'(2(1(z0))), 1'(z0))
   0'(c_0(2(c_0(c_1(c_1(2(c_0(2(c_1(c_0(2(2(c_1(c_1(c_0(c_1(2(c_0(c_1(z0)))))))))))))))))))) -> c99(0'(1(2(0(2(0(1(0(1(2(1(0(0(2(2(1(0(1(0(1(z0)))))))))))))))))))), 1'(2(0(2(0(1(0(1(2(1(0(0(2(2(1(0(1(0(1(z0))))))))))))))))))), 0'(2(0(1(0(1(2(1(0(0(2(2(1(0(1(0(1(z0))))))))))))))))), 0'(1(0(1(2(1(0(0(2(2(1(0(1(0(1(z0))))))))))))))), 1'(0(1(2(1(0(0(2(2(1(0(1(0(1(z0)))))))))))))), 0'(1(2(1(0(0(2(2(1(0(1(0(1(z0))))))))))))), 1'(2(1(0(0(2(2(1(0(1(0(1(z0)))))))))))), 1'(0(0(2(2(1(0(1(0(1(z0)))))))))), 0'(0(2(2(1(0(1(0(1(z0))))))))), 0'(2(2(1(0(1(0(1(z0)))))))), 1'(0(1(0(1(z0))))), 0'(1(0(1(z0)))), 1'(0(1(z0))), 0'(1(z0)), 1'(z0))
   0'(c_1(c_1(2(2(2(2(c_1(c_0(2(c_0(c_0(c_1(2(2(c_1(2(2(2(2(z0)))))))))))))))))))) -> c100(0'(1(0(0(2(0(0(1(2(1(2(0(1(2(2(1(0(2(0(2(z0)))))))))))))))))))), 1'(0(0(2(0(0(1(2(1(2(0(1(2(2(1(0(2(0(2(z0))))))))))))))))))), 0'(0(2(0(0(1(2(1(2(0(1(2(2(1(0(2(0(2(z0)))))))))))))))))), 0'(2(0(0(1(2(1(2(0(1(2(2(1(0(2(0(2(z0))))))))))))))))), 0'(0(1(2(1(2(0(1(2(2(1(0(2(0(2(z0))))))))))))))), 0'(1(2(1(2(0(1(2(2(1(0(2(0(2(z0)))))))))))))), 1'(2(1(2(0(1(2(2(1(0(2(0(2(z0))))))))))))), 1'(2(0(1(2(2(1(0(2(0(2(z0))))))))))), 0'(1(2(2(1(0(2(0(2(z0))))))))), 1'(2(2(1(0(2(0(2(z0)))))))), 1'(0(2(0(2(z0))))), 0'(2(0(2(z0)))), 0'(2(z0)))
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   0'(c_1(c_0(c_1(c_1(2(c_1(c_0(c_0(c_0(2(2(2(c_1(2(c_1(2(c_1(c_0(2(z0)))))))))))))))))))) -> c102(0'(1(0(0(2(2(1(2(1(0(1(0(0(0(2(0(0(2(1(2(z0)))))))))))))))))))), 1'(0(0(2(2(1(2(1(0(1(0(0(0(2(0(0(2(1(2(z0))))))))))))))))))), 0'(0(2(2(1(2(1(0(1(0(0(0(2(0(0(2(1(2(z0)))))))))))))))))), 0'(2(2(1(2(1(0(1(0(0(0(2(0(0(2(1(2(z0))))))))))))))))), 1'(2(1(0(1(0(0(0(2(0(0(2(1(2(z0)))))))))))))), 1'(0(1(0(0(0(2(0(0(2(1(2(z0)))))))))))), 0'(1(0(0(0(2(0(0(2(1(2(z0))))))))))), 1'(0(0(0(2(0(0(2(1(2(z0)))))))))), 0'(0(0(2(0(0(2(1(2(z0))))))))), 0'(0(2(0(0(2(1(2(z0)))))))), 0'(2(0(0(2(1(2(z0))))))), 0'(0(2(1(2(z0))))), 0'(2(1(2(z0)))), 1'(2(z0)))
   0'(c_0(c_1(c_0(2(c_1(2(2(2(2(c_0(c_1(2(c_0(c_1(c_1(2(2(c_0(2(z0)))))))))))))))))))) -> c103(0'(0(2(1(1(0(0(2(2(2(0(1(2(2(0(1(2(2(0(2(z0)))))))))))))))))))), 0'(2(1(1(0(0(2(2(2(0(1(2(2(0(1(2(2(0(2(z0))))))))))))))))))), 1'(1(0(0(2(2(2(0(1(2(2(0(1(2(2(0(2(z0))))))))))))))))), 1'(0(0(2(2(2(0(1(2(2(0(1(2(2(0(2(z0)))))))))))))))), 0'(0(2(2(2(0(1(2(2(0(1(2(2(0(2(z0))))))))))))))), 0'(2(2(2(0(1(2(2(0(1(2(2(0(2(z0)))))))))))))), 0'(1(2(2(0(1(2(2(0(2(z0)))))))))), 1'(2(2(0(1(2(2(0(2(z0))))))))), 0'(1(2(2(0(2(z0)))))), 1'(2(2(0(2(z0))))), 0'(2(z0)))
   0'(c_1(c_1(c_0(c_1(2(c_1(2(c_0(2(2(c_1(c_0(c_0(2(c_0(c_1(c_0(c_1(c_1(z0)))))))))))))))))))) -> c104(0'(0(0(1(2(0(2(2(2(0(1(0(1(2(1(1(1(0(2(0(z0)))))))))))))))))))), 0'(0(1(2(0(2(2(2(0(1(0(1(2(1(1(1(0(2(0(z0))))))))))))))))))), 0'(1(2(0(2(2(2(0(1(0(1(2(1(1(1(0(2(0(z0)))))))))))))))))), 1'(2(0(2(2(2(0(1(0(1(2(1(1(1(0(2(0(z0))))))))))))))))), 0'(2(2(2(0(1(0(1(2(1(1(1(0(2(0(z0))))))))))))))), 0'(1(0(1(2(1(1(1(0(2(0(z0))))))))))), 1'(0(1(2(1(1(1(0(2(0(z0)))))))))), 0'(1(2(1(1(1(0(2(0(z0))))))))), 1'(2(1(1(1(0(2(0(z0)))))))), 1'(1(1(0(2(0(z0)))))), 1'(1(0(2(0(z0))))), 1'(0(2(0(z0)))), 0'(2(0(z0))), 0'(z0))
   1'(2(2(c_0(2(c_0(2(c_1(2(c_1(2(c_1(c_0(c_0(c_1(c_0(c_0(2(c_0(c_1(z0)))))))))))))))))))) -> c106(1'(0(1(2(0(1(0(0(1(0(0(0(2(1(0(0(1(0(0(2(z0)))))))))))))))))))), 0'(1(2(0(1(0(0(1(0(0(0(2(1(0(0(1(0(0(2(z0))))))))))))))))))), 1'(2(0(1(0(0(1(0(0(0(2(1(0(0(1(0(0(2(z0)))))))))))))))))), 0'(1(0(0(1(0(0(0(2(1(0(0(1(0(0(2(z0)))))))))))))))), 1'(0(0(1(0(0(0(2(1(0(0(1(0(0(2(z0))))))))))))))), 0'(0(1(0(0(0(2(1(0(0(1(0(0(2(z0)))))))))))))), 0'(1(0(0(0(2(1(0(0(1(0(0(2(z0))))))))))))), 1'(0(0(0(2(1(0(0(1(0(0(2(z0)))))))))))), 0'(0(0(2(1(0(0(1(0(0(2(z0))))))))))), 0'(0(2(1(0(0(1(0(0(2(z0)))))))))), 0'(2(1(0(0(1(0(0(2(z0))))))))), 1'(0(0(1(0(0(2(z0))))))), 0'(0(1(0(0(2(z0)))))), 0'(1(0(0(2(z0))))), 1'(0(0(2(z0)))), 0'(0(2(z0))), 0'(2(z0)))
   0'(2(c_1(c_1(c_1(c_0(2(c_1(c_1(c_0(c_1(c_0(2(2(c_0(c_0(2(c_0(2(c_1(z0)))))))))))))))))))) -> c9(0'(1(0(1(2(2(2(1(1(0(2(2(1(2(0(0(0(0(2(1(z0)))))))))))))))))))), 1'(0(1(2(2(2(1(1(0(2(2(1(2(0(0(0(0(2(1(z0))))))))))))))))))), 0'(1(2(2(2(1(1(0(2(2(1(2(0(0(0(0(2(1(z0)))))))))))))))))), 1'(1(0(2(2(1(2(0(0(0(0(2(1(z0))))))))))))), 1'(0(2(2(1(2(0(0(0(0(2(1(z0)))))))))))), 0'(2(2(1(2(0(0(0(0(2(1(z0))))))))))), 1'(2(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))), 1'(z0))
   0'(c_0(2(c_0(2(c_1(c_1(2(c_1(c_1(c_1(c_1(c_1(c_0(c_1(c_1(c_1(2(2(c_1(z0)))))))))))))))))))) -> c21(0'(2(0(0(2(1(1(2(2(0(2(0(1(2(2(2(1(1(1(2(z0)))))))))))))))))))), 0'(0(2(1(1(2(2(0(2(0(1(2(2(2(1(1(1(2(z0)))))))))))))))))), 0'(2(1(1(2(2(0(2(0(1(2(2(2(1(1(1(2(z0))))))))))))))))), 1'(1(2(2(0(2(0(1(2(2(2(1(1(1(2(z0))))))))))))))), 1'(2(2(0(2(0(1(2(2(2(1(1(1(2(z0)))))))))))))), 0'(2(0(1(2(2(2(1(1(1(2(z0))))))))))), 0'(1(2(2(2(1(1(1(2(z0))))))))), 1'(1(1(2(z0)))), 1'(1(2(z0))), 1'(2(z0)))
   0'(2(c_0(c_1(c_1(c_1(c_0(c_1(2(2(c_0(2(c_0(2(c_0(2(c_1(2(c_0(c_1(z0)))))))))))))))))))) -> c22(0'(2(2(0(1(2(2(2(2(1(0(2(1(2(0(0(2(2(2(1(z0)))))))))))))))))))), 0'(1(2(2(2(2(1(0(2(1(2(0(0(2(2(2(1(z0))))))))))))))))), 1'(0(2(1(2(0(0(2(2(2(1(z0))))))))))), 0'(2(1(2(0(0(2(2(2(1(z0)))))))))), 1'(2(0(0(2(2(2(1(z0)))))))), 0'(0(2(2(2(1(z0)))))), 0'(2(2(2(1(z0))))), 1'(z0))
   0'(2(c_0(2(c_1(c_0(c_0(c_1(2(c_0(2(c_0(c_1(c_0(c_1(c_1(c_1(2(2(c_1(z0)))))))))))))))))))) -> c31(0'(0(1(0(1(0(1(1(2(1(0(0(0(1(2(2(2(0(1(0(z0)))))))))))))))))))), 0'(1(0(1(0(1(1(2(1(0(0(0(1(2(2(2(0(1(0(z0))))))))))))))))))), 1'(0(1(0(1(1(2(1(0(0(0(1(2(2(2(0(1(0(z0)))))))))))))))))), 0'(1(0(1(1(2(1(0(0(0(1(2(2(2(0(1(0(z0))))))))))))))))), 1'(0(1(1(2(1(0(0(0(1(2(2(2(0(1(0(z0)))))))))))))))), 0'(1(1(2(1(0(0(0(1(2(2(2(0(1(0(z0))))))))))))))), 1'(1(2(1(0(0(0(1(2(2(2(0(1(0(z0)))))))))))))), 1'(2(1(0(0(0(1(2(2(2(0(1(0(z0))))))))))))), 1'(0(0(0(1(2(2(2(0(1(0(z0))))))))))), 0'(0(0(1(2(2(2(0(1(0(z0)))))))))), 0'(0(1(2(2(2(0(1(0(z0))))))))), 0'(1(2(2(2(0(1(0(z0)))))))), 0'(1(0(z0))), 1'(0(z0)), 0'(z0))
   0'(c_1(c_1(2(c_0(c_1(c_0(c_0(c_1(2(c_0(2(c_1(c_0(c_0(c_0(c_0(2(c_0(c_1(z0)))))))))))))))))))) -> c40(0'(0(2(1(2(2(2(1(2(1(0(0(0(2(2(1(0(1(2(0(z0)))))))))))))))))))), 0'(2(1(2(2(2(1(2(1(0(0(0(2(2(1(0(1(2(0(z0))))))))))))))))))), 1'(2(1(0(0(0(2(2(1(0(1(2(0(z0))))))))))))), 1'(0(0(0(2(2(1(0(1(2(0(z0))))))))))), 0'(0(0(2(2(1(0(1(2(0(z0)))))))))), 0'(0(2(2(1(0(1(2(0(z0))))))))), 0'(2(2(1(0(1(2(0(z0)))))))), 1'(0(1(2(0(z0))))), 0'(1(2(0(z0)))), 1'(2(0(z0))), 0'(z0))
   0'(c_1(c_0(2(2(2(c_1(2(c_1(c_1(c_1(2(c_1(c_0(2(c_1(c_1(c_1(c_0(c_1(z0)))))))))))))))))))) -> c61(0'(0(1(2(2(2(1(0(0(1(1(2(1(1(2(0(0(1(2(0(z0)))))))))))))))))))), 0'(1(2(2(2(1(0(0(1(1(2(1(1(2(0(0(1(2(0(z0))))))))))))))))))), 1'(0(0(1(1(2(1(1(2(0(0(1(2(0(z0)))))))))))))), 0'(0(1(1(2(1(1(2(0(0(1(2(0(z0))))))))))))), 0'(1(1(2(1(1(2(0(0(1(2(0(z0)))))))))))), 1'(1(2(1(1(2(0(0(1(2(0(z0))))))))))), 1'(2(1(1(2(0(0(1(2(0(z0)))))))))), 1'(1(2(0(0(1(2(0(z0)))))))), 1'(2(0(0(1(2(0(z0))))))), 0'(0(1(2(0(z0))))), 0'(1(2(0(z0)))), 1'(2(0(z0))), 0'(z0))
   0'(c_1(c_1(c_0(2(c_1(c_1(c_0(c_0(c_1(c_1(c_1(2(2(2(c_0(2(c_0(c_0(2(z0)))))))))))))))))))) -> c63(0'(1(2(1(0(2(1(0(1(2(2(2(0(0(2(0(2(2(1(2(z0)))))))))))))))))))), 1'(2(1(0(2(1(0(1(2(2(2(0(0(2(0(2(2(1(2(z0))))))))))))))))))), 1'(0(2(1(0(1(2(2(2(0(0(2(0(2(2(1(2(z0))))))))))))))))), 0'(2(1(0(1(2(2(2(0(0(2(0(2(2(1(2(z0)))))))))))))))), 1'(0(1(2(2(2(0(0(2(0(2(2(1(2(z0)))))))))))))), 0'(1(2(2(2(0(0(2(0(2(2(1(2(z0))))))))))))), 0'(0(2(0(2(2(1(2(z0)))))))), 0'(2(0(2(2(1(2(z0))))))), 0'(2(2(1(2(z0))))), 1'(2(z0)))
   0'(c_1(c_1(c_1(c_1(2(c_0(c_0(c_0(2(2(2(2(c_1(c_0(2(2(2(c_0(c_1(z0)))))))))))))))))))) -> c65(0'(2(0(0(0(1(2(0(1(2(2(2(1(2(1(1(1(2(1(2(z0)))))))))))))))))))), 0'(0(0(1(2(0(1(2(2(2(1(2(1(1(1(2(1(2(z0)))))))))))))))))), 0'(0(1(2(0(1(2(2(2(1(2(1(1(1(2(1(2(z0))))))))))))))))), 0'(1(2(0(1(2(2(2(1(2(1(1(1(2(1(2(z0)))))))))))))))), 1'(2(0(1(2(2(2(1(2(1(1(1(2(1(2(z0))))))))))))))), 0'(1(2(2(2(1(2(1(1(1(2(1(2(z0))))))))))))), 1'(2(1(1(1(2(1(2(z0)))))))), 1'(1(1(2(1(2(z0)))))), 1'(1(2(1(2(z0))))), 1'(2(1(2(z0)))), 1'(2(z0)))
   0'(2(c_1(c_1(c_1(c_0(c_0(c_1(2(c_1(2(c_1(c_1(2(c_0(2(c_1(c_0(c_1(2(z0)))))))))))))))))))) -> c74(0'(1(0(1(0(2(0(0(0(1(1(1(2(0(0(0(1(2(2(2(z0)))))))))))))))))))), 1'(0(1(0(2(0(0(0(1(1(1(2(0(0(0(1(2(2(2(z0))))))))))))))))))), 0'(1(0(2(0(0(0(1(1(1(2(0(0(0(1(2(2(2(z0)))))))))))))))))), 1'(0(2(0(0(0(1(1(1(2(0(0(0(1(2(2(2(z0))))))))))))))))), 0'(2(0(0(0(1(1(1(2(0(0(0(1(2(2(2(z0)))))))))))))))), 0'(0(0(1(1(1(2(0(0(0(1(2(2(2(z0)))))))))))))), 0'(0(1(1(1(2(0(0(0(1(2(2(2(z0))))))))))))), 0'(1(1(1(2(0(0(0(1(2(2(2(z0)))))))))))), 1'(1(1(2(0(0(0(1(2(2(2(z0))))))))))), 1'(1(2(0(0(0(1(2(2(2(z0)))))))))), 1'(2(0(0(0(1(2(2(2(z0))))))))), 0'(0(0(1(2(2(2(z0))))))), 0'(0(1(2(2(2(z0)))))), 0'(1(2(2(2(z0))))))
   0'(2(2(c_1(c_1(c_1(c_1(c_0(c_0(c_1(c_0(c_1(c_0(2(2(c_1(c_1(2(2(c_1(z0)))))))))))))))))))) -> c75(0'(2(2(2(0(2(2(1(1(2(2(2(2(0(2(0(0(2(0(2(z0)))))))))))))))))))), 0'(2(2(1(1(2(2(2(2(0(2(0(0(2(0(2(z0)))))))))))))))), 1'(1(2(2(2(2(0(2(0(0(2(0(2(z0))))))))))))), 0'(2(0(0(2(0(2(z0))))))), 0'(0(2(0(2(z0))))), 0'(2(0(2(z0)))), 0'(2(z0)))
   0'(c_1(c_0(c_1(c_1(2(2(c_0(c_0(c_0(2(2(2(c_1(c_1(c_0(c_1(c_1(c_1(c_1(z0)))))))))))))))))))) -> c81(0'(0(2(2(2(2(2(2(1(1(0(1(2(2(0(1(2(0(2(1(z0)))))))))))))))))))), 1'(1(0(1(2(2(0(1(2(0(2(1(z0)))))))))))), 1'(0(1(2(2(0(1(2(0(2(1(z0))))))))))), 0'(1(2(2(0(1(2(0(2(1(z0)))))))))), 1'(2(2(0(1(2(0(2(1(z0))))))))), 0'(1(2(0(2(1(z0)))))), 1'(2(0(2(1(z0))))), 0'(2(1(z0))), 1'(z0))
   0'(c_0(c_1(c_1(c_0(2(2(c_1(c_1(c_1(c_1(c_1(2(c_0(2(c_1(c_0(2(2(c_1(z0)))))))))))))))))))) -> c82(0'(2(0(1(1(0(1(2(2(2(0(0(2(2(2(0(2(0(0(0(z0)))))))))))))))))))), 0'(1(1(0(1(2(2(2(0(0(2(2(2(0(2(0(0(0(z0)))))))))))))))))), 1'(1(0(1(2(2(2(0(0(2(2(2(0(2(0(0(0(z0))))))))))))))))), 1'(0(1(2(2(2(0(0(2(2(2(0(2(0(0(0(z0)))))))))))))))), 0'(1(2(2(2(0(0(2(2(2(0(2(0(0(0(z0))))))))))))))), 0'(0(2(2(2(0(2(0(0(0(z0)))))))))), 0'(2(2(2(0(2(0(0(0(z0))))))))), 0'(2(0(0(0(z0))))), 0'(0(0(z0))), 0'(0(z0)), 0'(z0))
   0'(c_1(c_1(c_0(c_1(c_1(c_1(c_1(2(c_0(2(c_0(2(2(2(c_0(c_0(c_0(2(c_1(z0)))))))))))))))))))) -> c86(0'(1(0(1(2(2(2(0(2(2(1(1(2(2(2(0(0(0(1(0(z0)))))))))))))))))))), 1'(0(1(2(2(2(0(2(2(1(1(2(2(2(0(0(0(1(0(z0))))))))))))))))))), 0'(1(2(2(2(0(2(2(1(1(2(2(2(0(0(0(1(0(z0)))))))))))))))))), 0'(2(2(1(1(2(2(2(0(0(0(1(0(z0))))))))))))), 1'(1(2(2(2(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_1(c_0(c_1(2(2(2(c_1(c_1(2(c_1(2(c_1(c_0(2(c_0(c_1(2(c_0(z0)))))))))))))))))))) -> c87(0'(2(0(1(1(2(2(2(1(0(0(2(1(0(0(0(0(2(0(2(z0)))))))))))))))))))), 0'(1(1(2(2(2(1(0(0(2(1(0(0(0(0(2(0(2(z0)))))))))))))))))), 1'(1(2(2(2(1(0(0(2(1(0(0(0(0(2(0(2(z0))))))))))))))))), 1'(0(0(2(1(0(0(0(0(2(0(2(z0)))))))))))), 0'(0(2(1(0(0(0(0(2(0(2(z0))))))))))), 0'(2(1(0(0(0(0(2(0(2(z0)))))))))), 1'(0(0(0(0(2(0(2(z0)))))))), 0'(0(0(0(2(0(2(z0))))))), 0'(0(0(2(0(2(z0)))))), 0'(0(2(0(2(z0))))), 0'(2(0(2(z0)))), 0'(2(z0)))
   0'(c_1(c_1(2(c_0(2(c_0(2(2(c_1(c_1(2(c_0(c_1(2(2(c_0(c_1(c_0(c_0(z0)))))))))))))))))))) -> c91(0'(1(2(0(0(0(2(1(2(0(1(2(2(2(2(0(1(1(0(1(z0)))))))))))))))))))), 1'(2(0(0(0(2(1(2(0(1(2(2(2(2(0(1(1(0(1(z0))))))))))))))))))), 0'(0(0(2(1(2(0(1(2(2(2(2(0(1(1(0(1(z0))))))))))))))))), 0'(0(2(1(2(0(1(2(2(2(2(0(1(1(0(1(z0)))))))))))))))), 0'(2(1(2(0(1(2(2(2(2(0(1(1(0(1(z0))))))))))))))), 1'(2(0(1(2(2(2(2(0(1(1(0(1(z0))))))))))))), 0'(1(2(2(2(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))
   0'(2(c_1(c_1(2(c_0(2(2(2(c_0(c_1(2(c_0(2(c_0(2(2(c_0(c_0(c_1(z0)))))))))))))))))))) -> c92(0'(0(2(1(2(0(0(0(2(0(1(2(2(2(1(0(1(1(1(0(z0)))))))))))))))))))), 0'(2(1(2(0(0(0(2(0(1(2(2(2(1(0(1(1(1(0(z0))))))))))))))))))), 1'(2(0(0(0(2(0(1(2(2(2(1(0(1(1(1(0(z0))))))))))))))))), 0'(0(0(2(0(1(2(2(2(1(0(1(1(1(0(z0))))))))))))))), 0'(0(2(0(1(2(2(2(1(0(1(1(1(0(z0)))))))))))))), 0'(2(0(1(2(2(2(1(0(1(1(1(0(z0))))))))))))), 0'(1(2(2(2(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))
   0'(c_1(2(c_1(c_0(c_1(2(2(c_1(c_1(c_0(c_0(c_1(c_1(2(2(c_1(c_0(c_1(c_1(z0)))))))))))))))))))) -> c96(0'(2(2(2(0(2(0(2(0(1(2(1(2(2(2(1(0(0(1(0(z0)))))))))))))))))))), 0'(2(0(2(0(1(2(1(2(2(2(1(0(0(1(0(z0)))))))))))))))), 0'(2(0(1(2(1(2(2(2(1(0(0(1(0(z0)))))))))))))), 0'(1(2(1(2(2(2(1(0(0(1(0(z0)))))))))))), 1'(2(1(2(2(2(1(0(0(1(0(z0))))))))))), 1'(0(0(1(0(z0))))), 0'(0(1(0(z0)))), 0'(1(0(z0))), 1'(0(z0)), 0'(z0))
   0'(2(2(c_1(c_1(2(2(c_1(c_0(2(c_1(2(c_1(c_1(2(2(2(c_0(2(c_0(z0)))))))))))))))))))) -> c97(0'(2(1(2(2(2(1(0(0(1(0(0(0(1(2(1(1(2(2(1(z0)))))))))))))))))))), 1'(0(0(1(0(0(0(1(2(1(1(2(2(1(z0)))))))))))))), 0'(0(1(0(0(0(1(2(1(1(2(2(1(z0))))))))))))), 0'(1(0(0(0(1(2(1(1(2(2(1(z0)))))))))))), 1'(0(0(0(1(2(1(1(2(2(1(z0))))))))))), 0'(0(0(1(2(1(1(2(2(1(z0)))))))))), 0'(0(1(2(1(1(2(2(1(z0))))))))), 0'(1(2(1(1(2(2(1(z0)))))))), 1'(2(1(1(2(2(1(z0))))))), 1'(1(2(2(1(z0))))), 1'(2(2(1(z0)))), 1'(z0))
   ENCODE_0(z0) -> c5(0'(encArg(z0)))
   ENCODE_1(z0) -> c5(1'(encArg(z0)))
   ENCARG(cons_0(2(z0))) -> c1(0'(2(encArg(z0))), ENCARG(2(z0)))
   ENCARG(cons_0(cons_0(z0))) -> c1(0'(0(encArg(z0))), ENCARG(cons_0(z0)))
   ENCARG(cons_0(cons_1(z0))) -> c1(0'(1(encArg(z0))), ENCARG(cons_1(z0)))
   ENCARG(cons_1(2(z0))) -> c2(1'(2(encArg(z0))), ENCARG(2(z0)))
   ENCARG(cons_1(cons_0(z0))) -> c2(1'(0(encArg(z0))), ENCARG(cons_0(z0)))
   ENCARG(cons_1(cons_1(z0))) -> c2(1'(1(encArg(z0))), ENCARG(cons_1(z0)))
   0'(c_0(c_1(c_0(2(2(c_1(2(c_0(c_0(c_1(c_1(2(2(2(c_1(c_1(2(c_1(c_1(x0)))))))))))))))))))) -> c7(0'(2(0(2(2(c_0(0(1(2(0(2(0(0(1(1(0(0(2(1(1(x0)))))))))))))))))))), 0'(2(2(0(0(1(2(0(2(0(0(1(1(0(0(2(1(1(x0)))))))))))))))))), 0'(0(1(2(0(2(0(0(1(1(0(0(2(1(1(x0))))))))))))))), 0'(1(2(0(2(0(0(1(1(0(0(2(1(1(x0)))))))))))))), 1'(2(0(2(0(0(1(1(0(0(2(1(1(x0))))))))))))), 0'(2(0(0(1(1(0(0(2(1(1(x0))))))))))), 0'(0(1(1(0(0(2(1(1(x0))))))))), 0'(1(1(0(0(2(1(1(x0)))))))), 1'(1(0(0(2(1(1(x0))))))), 1'(0(0(2(1(1(x0)))))), 0'(0(2(1(1(x0))))), 0'(2(1(1(x0)))), 1'(1(x0)), 1'(x0))
   0'(c_0(c_1(c_0(2(2(c_1(2(c_0(c_0(c_1(c_1(2(2(2(c_1(c_1(2(c_1(c_1(x0)))))))))))))))))))) -> c7(0'(2(0(2(2(0(c_0(1(2(0(2(0(0(1(1(0(0(2(1(1(x0)))))))))))))))))))), 0'(2(2(0(0(1(2(0(2(0(0(1(1(0(0(2(1(1(x0)))))))))))))))))), 0'(0(1(2(0(2(0(0(1(1(0(0(2(1(1(x0))))))))))))))), 0'(1(2(0(2(0(0(1(1(0(0(2(1(1(x0)))))))))))))), 1'(2(0(2(0(0(1(1(0(0(2(1(1(x0))))))))))))), 0'(2(0(0(1(1(0(0(2(1(1(x0))))))))))), 0'(0(1(1(0(0(2(1(1(x0))))))))), 0'(1(1(0(0(2(1(1(x0)))))))), 1'(1(0(0(2(1(1(x0))))))), 1'(0(0(2(1(1(x0)))))), 0'(0(2(1(1(x0))))), 0'(2(1(1(x0)))), 1'(1(x0)), 1'(x0))
   0'(c_0(c_1(c_0(2(2(c_1(2(c_0(c_0(c_1(c_1(2(2(2(c_1(c_1(2(c_1(c_1(x0)))))))))))))))))))) -> c7(0'(2(0(2(2(0(0(c_1(2(0(2(0(0(1(1(0(0(2(1(1(x0)))))))))))))))))))), 0'(2(2(0(0(1(2(0(2(0(0(1(1(0(0(2(1(1(x0)))))))))))))))))), 0'(0(1(2(0(2(0(0(1(1(0(0(2(1(1(x0))))))))))))))), 0'(1(2(0(2(0(0(1(1(0(0(2(1(1(x0)))))))))))))), 1'(2(0(2(0(0(1(1(0(0(2(1(1(x0))))))))))))), 0'(2(0(0(1(1(0(0(2(1(1(x0))))))))))), 0'(0(1(1(0(0(2(1(1(x0))))))))), 0'(1(1(0(0(2(1(1(x0)))))))), 1'(1(0(0(2(1(1(x0))))))), 1'(0(0(2(1(1(x0)))))), 0'(0(2(1(1(x0))))), 0'(2(1(1(x0)))), 1'(1(x0)), 1'(x0))
   0'(c_0(c_1(c_0(2(2(c_1(2(c_0(c_0(c_1(c_1(2(2(2(c_1(c_1(2(c_1(c_1(x0)))))))))))))))))))) -> c7(0'(2(0(2(2(0(0(1(2(c_0(2(0(0(1(1(0(0(2(1(1(x0)))))))))))))))))))), 0'(2(2(0(0(1(2(0(2(0(0(1(1(0(0(2(1(1(x0)))))))))))))))))), 0'(0(1(2(0(2(0(0(1(1(0(0(2(1(1(x0))))))))))))))), 0'(1(2(0(2(0(0(1(1(0(0(2(1(1(x0)))))))))))))), 1'(2(0(2(0(0(1(1(0(0(2(1(1(x0))))))))))))), 0'(2(0(0(1(1(0(0(2(1(1(x0))))))))))), 0'(0(1(1(0(0(2(1(1(x0))))))))), 0'(1(1(0(0(2(1(1(x0)))))))), 1'(1(0(0(2(1(1(x0))))))), 1'(0(0(2(1(1(x0)))))), 0'(0(2(1(1(x0))))), 0'(2(1(1(x0)))), 1'(1(x0)), 1'(x0))
   0'(c_0(c_1(c_0(2(2(c_1(2(c_0(c_0(c_1(c_1(2(2(2(c_1(c_1(2(c_1(c_1(x0)))))))))))))))))))) -> c7(0'(2(0(2(2(0(0(1(2(0(2(c_0(0(1(1(0(0(2(1(1(x0)))))))))))))))))))), 0'(2(2(0(0(1(2(0(2(0(0(1(1(0(0(2(1(1(x0)))))))))))))))))), 0'(0(1(2(0(2(0(0(1(1(0(0(2(1(1(x0))))))))))))))), 0'(1(2(0(2(0(0(1(1(0(0(2(1(1(x0)))))))))))))), 1'(2(0(2(0(0(1(1(0(0(2(1(1(x0))))))))))))), 0'(2(0(0(1(1(0(0(2(1(1(x0))))))))))), 0'(0(1(1(0(0(2(1(1(x0))))))))), 0'(1(1(0(0(2(1(1(x0)))))))), 1'(1(0(0(2(1(1(x0))))))), 1'(0(0(2(1(1(x0)))))), 0'(0(2(1(1(x0))))), 0'(2(1(1(x0)))), 1'(1(x0)), 1'(x0))
   0'(c_0(c_1(c_0(2(2(c_1(2(c_0(c_0(c_1(c_1(2(2(2(c_1(c_1(2(c_1(c_1(x0)))))))))))))))))))) -> c7(0'(2(0(2(2(0(0(1(2(0(2(0(c_0(1(1(0(0(2(1(1(x0)))))))))))))))))))), 0'(2(2(0(0(1(2(0(2(0(0(1(1(0(0(2(1(1(x0)))))))))))))))))), 0'(0(1(2(0(2(0(0(1(1(0(0(2(1(1(x0))))))))))))))), 0'(1(2(0(2(0(0(1(1(0(0(2(1(1(x0)))))))))))))), 1'(2(0(2(0(0(1(1(0(0(2(1(1(x0))))))))))))), 0'(2(0(0(1(1(0(0(2(1(1(x0))))))))))), 0'(0(1(1(0(0(2(1(1(x0))))))))), 0'(1(1(0(0(2(1(1(x0)))))))), 1'(1(0(0(2(1(1(x0))))))), 1'(0(0(2(1(1(x0)))))), 0'(0(2(1(1(x0))))), 0'(2(1(1(x0)))), 1'(1(x0)), 1'(x0))
   0'(c_0(c_1(c_0(2(2(c_1(2(c_0(c_0(c_1(c_1(2(2(2(c_1(c_1(2(c_1(c_1(x0)))))))))))))))))))) -> c7(0'(2(0(2(2(0(0(1(2(0(2(0(0(c_1(1(0(0(2(1(1(x0)))))))))))))))))))), 0'(2(2(0(0(1(2(0(2(0(0(1(1(0(0(2(1(1(x0)))))))))))))))))), 0'(0(1(2(0(2(0(0(1(1(0(0(2(1(1(x0))))))))))))))), 0'(1(2(0(2(0(0(1(1(0(0(2(1(1(x0)))))))))))))), 1'(2(0(2(0(0(1(1(0(0(2(1(1(x0))))))))))))), 0'(2(0(0(1(1(0(0(2(1(1(x0))))))))))), 0'(0(1(1(0(0(2(1(1(x0))))))))), 0'(1(1(0(0(2(1(1(x0)))))))), 1'(1(0(0(2(1(1(x0))))))), 1'(0(0(2(1(1(x0)))))), 0'(0(2(1(1(x0))))), 0'(2(1(1(x0)))), 1'(1(x0)), 1'(x0))
   0'(c_0(c_1(c_0(2(2(c_1(2(c_0(c_0(c_1(c_1(2(2(2(c_1(c_1(2(c_1(c_1(x0)))))))))))))))))))) -> c7(0'(2(0(2(2(0(0(1(2(0(2(0(0(1(c_1(0(0(2(1(1(x0)))))))))))))))))))), 0'(2(2(0(0(1(2(0(2(0(0(1(1(0(0(2(1(1(x0)))))))))))))))))), 0'(0(1(2(0(2(0(0(1(1(0(0(2(1(1(x0))))))))))))))), 0'(1(2(0(2(0(0(1(1(0(0(2(1(1(x0)))))))))))))), 1'(2(0(2(0(0(1(1(0(0(2(1(1(x0))))))))))))), 0'(2(0(0(1(1(0(0(2(1(1(x0))))))))))), 0'(0(1(1(0(0(2(1(1(x0))))))))), 0'(1(1(0(0(2(1(1(x0)))))))), 1'(1(0(0(2(1(1(x0))))))), 1'(0(0(2(1(1(x0)))))), 0'(0(2(1(1(x0))))), 0'(2(1(1(x0)))), 1'(1(x0)), 1'(x0))
   0'(c_0(c_1(c_0(2(2(c_1(2(c_0(c_0(c_1(c_1(2(2(2(c_1(c_1(2(c_1(c_1(x0)))))))))))))))))))) -> c7(0'(2(0(2(2(0(0(1(2(0(2(0(0(1(1(c_0(0(2(1(1(x0)))))))))))))))))))), 0'(2(2(0(0(1(2(0(2(0(0(1(1(0(0(2(1(1(x0)))))))))))))))))), 0'(0(1(2(0(2(0(0(1(1(0(0(2(1(1(x0))))))))))))))), 0'(1(2(0(2(0(0(1(1(0(0(2(1(1(x0)))))))))))))), 1'(2(0(2(0(0(1(1(0(0(2(1(1(x0))))))))))))), 0'(2(0(0(1(1(0(0(2(1(1(x0))))))))))), 0'(0(1(1(0(0(2(1(1(x0))))))))), 0'(1(1(0(0(2(1(1(x0)))))))), 1'(1(0(0(2(1(1(x0))))))), 1'(0(0(2(1(1(x0)))))), 0'(0(2(1(1(x0))))), 0'(2(1(1(x0)))), 1'(1(x0)), 1'(x0))
   0'(c_0(c_1(c_0(2(2(c_1(2(c_0(c_0(c_1(c_1(2(2(2(c_1(c_1(2(c_1(c_1(x0)))))))))))))))))))) -> c7(0'(2(0(2(2(0(0(1(2(0(2(0(0(1(1(0(c_0(2(1(1(x0)))))))))))))))))))), 0'(2(2(0(0(1(2(0(2(0(0(1(1(0(0(2(1(1(x0)))))))))))))))))), 0'(0(1(2(0(2(0(0(1(1(0(0(2(1(1(x0))))))))))))))), 0'(1(2(0(2(0(0(1(1(0(0(2(1(1(x0)))))))))))))), 1'(2(0(2(0(0(1(1(0(0(2(1(1(x0))))))))))))), 0'(2(0(0(1(1(0(0(2(1(1(x0))))))))))), 0'(0(1(1(0(0(2(1(1(x0))))))))), 0'(1(1(0(0(2(1(1(x0)))))))), 1'(1(0(0(2(1(1(x0))))))), 1'(0(0(2(1(1(x0)))))), 0'(0(2(1(1(x0))))), 0'(2(1(1(x0)))), 1'(1(x0)), 1'(x0))
   0'(c_0(c_1(c_0(2(2(c_1(2(c_0(c_0(c_1(c_1(2(2(2(c_1(c_1(2(c_1(c_1(x0)))))))))))))))))))) -> c7(0'(2(0(2(2(0(0(1(2(0(2(0(0(1(1(0(0(2(c_1(1(x0)))))))))))))))))))), 0'(2(2(0(0(1(2(0(2(0(0(1(1(0(0(2(1(1(x0)))))))))))))))))), 0'(0(1(2(0(2(0(0(1(1(0(0(2(1(1(x0))))))))))))))), 0'(1(2(0(2(0(0(1(1(0(0(2(1(1(x0)))))))))))))), 1'(2(0(2(0(0(1(1(0(0(2(1(1(x0))))))))))))), 0'(2(0(0(1(1(0(0(2(1(1(x0))))))))))), 0'(0(1(1(0(0(2(1(1(x0))))))))), 0'(1(1(0(0(2(1(1(x0)))))))), 1'(1(0(0(2(1(1(x0))))))), 1'(0(0(2(1(1(x0)))))), 0'(0(2(1(1(x0))))), 0'(2(1(1(x0)))), 1'(1(x0)), 1'(x0))
   0'(c_0(c_1(c_0(2(2(c_1(2(c_0(c_0(c_1(c_1(2(2(2(c_1(c_1(2(c_1(c_1(z0)))))))))))))))))))) -> c7(0'(2(0(2(2(0(0(1(2(0(2(0(0(1(1(0(0(2(1(c_1(z0)))))))))))))))))))), 0'(2(2(0(0(1(2(0(2(0(0(1(1(0(0(2(1(1(z0)))))))))))))))))), 0'(0(1(2(0(2(0(0(1(1(0(0(2(1(1(z0))))))))))))))), 0'(1(2(0(2(0(0(1(1(0(0(2(1(1(z0)))))))))))))), 1'(2(0(2(0(0(1(1(0(0(2(1(1(z0))))))))))))), 0'(2(0(0(1(1(0(0(2(1(1(z0))))))))))), 0'(0(1(1(0(0(2(1(1(z0))))))))), 0'(1(1(0(0(2(1(1(z0)))))))), 1'(1(0(0(2(1(1(z0))))))), 1'(0(0(2(1(1(z0)))))), 0'(0(2(1(1(z0))))), 0'(2(1(1(z0)))), 1'(1(z0)), 1'(z0))
   0'(c_0(c_1(c_0(2(2(c_1(2(c_0(c_0(c_1(c_1(2(2(2(c_1(c_1(2(c_1(c_1(2(2(c_0(2(c_0(2(c_1(2(c_1(2(c_1(c_0(c_0(c_1(c_0(c_0(2(c_0(c_1(z0))))))))))))))))))))))))))))))))))))))) -> c7(0'(2(0(2(2(0(0(1(2(0(2(0(0(1(1(0(0(2(1(1(0(1(2(0(1(0(0(1(0(0(0(2(1(0(0(1(0(0(2(z0))))))))))))))))))))))))))))))))))))))), 0'(2(2(0(0(1(2(0(2(0(0(1(1(0(0(2(1(1(2(2(c_0(2(c_0(2(c_1(2(c_1(2(c_1(c_0(c_0(c_1(c_0(c_0(2(c_0(c_1(z0))))))))))))))))))))))))))))))))))))), 0'(0(1(2(0(2(0(0(1(1(0(0(2(1(1(2(2(c_0(2(c_0(2(c_1(2(c_1(2(c_1(c_0(c_0(c_1(c_0(c_0(2(c_0(c_1(z0)))))))))))))))))))))))))))))))))), 0'(1(2(0(2(0(0(1(1(0(0(2(1(1(2(2(c_0(2(c_0(2(c_1(2(c_1(2(c_1(c_0(c_0(c_1(c_0(c_0(2(c_0(c_1(z0))))))))))))))))))))))))))))))))), 1'(2(0(2(0(0(1(1(0(0(2(1(1(2(2(c_0(2(c_0(2(c_1(2(c_1(2(c_1(c_0(c_0(c_1(c_0(c_0(2(c_0(c_1(z0)))))))))))))))))))))))))))))))), 0'(2(0(0(1(1(0(0(2(1(1(2(2(c_0(2(c_0(2(c_1(2(c_1(2(c_1(c_0(c_0(c_1(c_0(c_0(2(c_0(c_1(z0)))))))))))))))))))))))))))))), 0'(0(1(1(0(0(2(1(1(2(2(c_0(2(c_0(2(c_1(2(c_1(2(c_1(c_0(c_0(c_1(c_0(c_0(2(c_0(c_1(z0)))))))))))))))))))))))))))), 0'(1(1(0(0(2(1(1(2(2(c_0(2(c_0(2(c_1(2(c_1(2(c_1(c_0(c_0(c_1(c_0(c_0(2(c_0(c_1(z0))))))))))))))))))))))))))), 1'(1(0(0(2(1(1(2(2(c_0(2(c_0(2(c_1(2(c_1(2(c_1(c_0(c_0(c_1(c_0(c_0(2(c_0(c_1(z0)))))))))))))))))))))))))), 1'(0(0(2(1(1(2(2(c_0(2(c_0(2(c_1(2(c_1(2(c_1(c_0(c_0(c_1(c_0(c_0(2(c_0(c_1(z0))))))))))))))))))))))))), 0'(0(2(1(1(2(2(c_0(2(c_0(2(c_1(2(c_1(2(c_1(c_0(c_0(c_1(c_0(c_0(2(c_0(c_1(z0)))))))))))))))))))))))), 0'(2(1(1(2(2(c_0(2(c_0(2(c_1(2(c_1(2(c_1(c_0(c_0(c_1(c_0(c_0(2(c_0(c_1(z0))))))))))))))))))))))), 1'(1(2(2(c_0(2(c_0(2(c_1(2(c_1(2(c_1(c_0(c_0(c_1(c_0(c_0(2(c_0(c_1(z0))))))))))))))))))))), 1'(2(2(c_0(2(c_0(2(c_1(2(c_1(2(c_1(c_0(c_0(c_1(c_0(c_0(2(c_0(c_1(z0)))))))))))))))))))))
   0'(c_0(c_1(c_0(2(2(c_1(2(c_0(c_0(c_1(c_1(2(2(2(c_1(c_1(2(c_1(c_1(x0)))))))))))))))))))) -> c7(0'(2(2(0(0(1(2(0(2(0(0(1(1(0(0(2(1(1(x0)))))))))))))))))), 0'(0(1(2(0(2(0(0(1(1(0(0(2(1(1(x0))))))))))))))), 0'(1(2(0(2(0(0(1(1(0(0(2(1(1(x0)))))))))))))), 1'(2(0(2(0(0(1(1(0(0(2(1(1(x0))))))))))))), 0'(2(0(0(1(1(0(0(2(1(1(x0))))))))))), 0'(0(1(1(0(0(2(1(1(x0))))))))), 0'(1(1(0(0(2(1(1(x0)))))))), 1'(1(0(0(2(1(1(x0))))))), 1'(0(0(2(1(1(x0)))))), 0'(0(2(1(1(x0))))), 0'(2(1(1(x0)))), 1'(1(x0)), 1'(x0))
S tuples:
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   0'(c_1(c_0(2(2(c_1(c_1(c_0(c_1(c_0(2(2(c_1(c_0(2(c_0(c_1(c_0(c_1(c_1(z0)))))))))))))))))))) -> c10(0'(1(2(0(0(2(2(0(0(0(0(2(1(2(1(0(1(2(0(2(z0)))))))))))))))))))), 1'(2(0(0(2(2(0(0(0(0(2(1(2(1(0(1(2(0(2(z0))))))))))))))))))), 0'(0(2(2(0(0(0(0(2(1(2(1(0(1(2(0(2(z0))))))))))))))))), 0'(2(2(0(0(0(0(2(1(2(1(0(1(2(0(2(z0)))))))))))))))), 0'(0(0(0(2(1(2(1(0(1(2(0(2(z0))))))))))))), 0'(0(0(2(1(2(1(0(1(2(0(2(z0)))))))))))), 0'(0(2(1(2(1(0(1(2(0(2(z0))))))))))), 0'(2(1(2(1(0(1(2(0(2(z0)))))))))), 1'(2(1(0(1(2(0(2(z0)))))))), 1'(0(1(2(0(2(z0)))))), 0'(1(2(0(2(z0))))), 1'(2(0(2(z0)))), 0'(2(z0)))
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   0'(c_1(c_1(c_0(2(2(c_0(c_1(2(2(2(c_0(2(2(c_1(2(c_1(2(c_1(c_0(z0)))))))))))))))))))) -> c24(0'(0(2(0(0(2(0(2(1(0(2(2(2(0(0(0(2(1(1(2(z0)))))))))))))))))))), 0'(2(0(0(2(0(2(1(0(2(2(2(0(0(0(2(1(1(2(z0))))))))))))))))))), 0'(0(2(0(2(1(0(2(2(2(0(0(0(2(1(1(2(z0))))))))))))))))), 0'(2(0(2(1(0(2(2(2(0(0(0(2(1(1(2(z0)))))))))))))))), 0'(2(1(0(2(2(2(0(0(0(2(1(1(2(z0)))))))))))))), 1'(0(2(2(2(0(0(0(2(1(1(2(z0)))))))))))), 0'(2(2(2(0(0(0(2(1(1(2(z0))))))))))), 0'(0(0(2(1(1(2(z0))))))), 0'(0(2(1(1(2(z0)))))), 0'(2(1(1(2(z0))))), 1'(1(2(z0))), 1'(2(z0)))
   0'(c_1(c_0(2(c_0(c_0(c_1(2(2(2(c_1(2(2(2(c_0(c_0(c_0(c_1(2(2(z0)))))))))))))))))))) -> c25(0'(1(0(1(1(2(1(0(0(1(0(0(2(2(2(1(0(2(0(0(z0)))))))))))))))))))), 1'(0(1(1(2(1(0(0(1(0(0(2(2(2(1(0(2(0(0(z0))))))))))))))))))), 0'(1(1(2(1(0(0(1(0(0(2(2(2(1(0(2(0(0(z0)))))))))))))))))), 1'(1(2(1(0(0(1(0(0(2(2(2(1(0(2(0(0(z0))))))))))))))))), 1'(2(1(0(0(1(0(0(2(2(2(1(0(2(0(0(z0)))))))))))))))), 1'(0(0(1(0(0(2(2(2(1(0(2(0(0(z0)))))))))))))), 0'(0(1(0(0(2(2(2(1(0(2(0(0(z0))))))))))))), 0'(1(0(0(2(2(2(1(0(2(0(0(z0)))))))))))), 1'(0(0(2(2(2(1(0(2(0(0(z0))))))))))), 0'(0(2(2(2(1(0(2(0(0(z0)))))))))), 0'(2(2(2(1(0(2(0(0(z0))))))))), 1'(0(2(0(0(z0))))), 0'(2(0(0(z0)))), 0'(0(z0)), 0'(z0))
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   0'(c_0(c_0(c_1(c_0(2(c_0(2(c_1(2(c_0(c_1(c_1(2(c_1(c_1(2(2(c_1(c_1(z0)))))))))))))))))))) -> c71(0'(1(2(0(2(2(1(1(1(0(1(0(2(1(2(1(2(1(2(1(z0)))))))))))))))))))), 1'(2(0(2(2(1(1(1(0(1(0(2(1(2(1(2(1(2(1(z0))))))))))))))))))), 0'(2(2(1(1(1(0(1(0(2(1(2(1(2(1(2(1(z0))))))))))))))))), 1'(1(1(0(1(0(2(1(2(1(2(1(2(1(z0)))))))))))))), 1'(1(0(1(0(2(1(2(1(2(1(2(1(z0))))))))))))), 1'(0(1(0(2(1(2(1(2(1(2(1(z0)))))))))))), 0'(1(0(2(1(2(1(2(1(2(1(z0))))))))))), 1'(0(2(1(2(1(2(1(2(1(z0)))))))))), 0'(2(1(2(1(2(1(2(1(z0))))))))), 1'(2(1(2(1(2(1(z0))))))), 1'(2(1(2(1(z0))))), 1'(2(1(z0))), 1'(z0))
   0'(c_1(c_0(c_0(2(2(c_0(2(2(c_1(2(c_1(2(c_1(c_1(c_0(c_0(2(2(2(z0)))))))))))))))))))) -> c72(0'(2(0(1(2(1(0(1(0(0(0(0(0(0(2(0(1(0(2(1(z0)))))))))))))))))))), 0'(1(2(1(0(1(0(0(0(0(0(0(2(0(1(0(2(1(z0)))))))))))))))))), 1'(2(1(0(1(0(0(0(0(0(0(2(0(1(0(2(1(z0))))))))))))))))), 1'(0(1(0(0(0(0(0(0(2(0(1(0(2(1(z0))))))))))))))), 0'(1(0(0(0(0(0(0(2(0(1(0(2(1(z0)))))))))))))), 1'(0(0(0(0(0(0(2(0(1(0(2(1(z0))))))))))))), 0'(0(0(0(0(0(2(0(1(0(2(1(z0)))))))))))), 0'(0(0(0(0(2(0(1(0(2(1(z0))))))))))), 0'(0(0(0(2(0(1(0(2(1(z0)))))))))), 0'(0(0(2(0(1(0(2(1(z0))))))))), 0'(0(2(0(1(0(2(1(z0)))))))), 0'(2(0(1(0(2(1(z0))))))), 0'(1(0(2(1(z0))))), 1'(0(2(1(z0)))), 0'(2(1(z0))), 1'(z0))
   0'(c_1(2(2(2(c_0(c_0(2(c_0(c_1(2(c_1(c_0(c_1(c_0(c_0(2(c_0(c_0(2(z0)))))))))))))))))))) -> c73(0'(0(0(1(2(0(2(1(2(2(0(0(0(1(0(1(0(0(1(2(z0)))))))))))))))))))), 0'(0(1(2(0(2(1(2(2(0(0(0(1(0(1(0(0(1(2(z0))))))))))))))))))), 0'(1(2(0(2(1(2(2(0(0(0(1(0(1(0(0(1(2(z0)))))))))))))))))), 1'(2(0(2(1(2(2(0(0(0(1(0(1(0(0(1(2(z0))))))))))))))))), 0'(2(1(2(2(0(0(0(1(0(1(0(0(1(2(z0))))))))))))))), 1'(2(2(0(0(0(1(0(1(0(0(1(2(z0))))))))))))), 0'(0(0(1(0(1(0(0(1(2(z0)))))))))), 0'(0(1(0(1(0(0(1(2(z0))))))))), 0'(1(0(1(0(0(1(2(z0)))))))), 1'(0(1(0(0(1(2(z0))))))), 0'(1(0(0(1(2(z0)))))), 1'(0(0(1(2(z0))))), 0'(0(1(2(z0)))), 0'(1(2(z0))), 1'(2(z0)))
   0'(2(2(c_1(2(c_0(c_1(c_1(c_0(c_0(c_1(c_1(2(c_0(c_1(c_1(c_0(2(2(2(z0)))))))))))))))))))) -> c76(0'(2(2(2(0(2(0(0(2(2(0(0(2(1(1(0(0(2(1(1(z0)))))))))))))))))))), 0'(2(0(0(2(2(0(0(2(1(1(0(0(2(1(1(z0)))))))))))))))), 0'(0(2(2(0(0(2(1(1(0(0(2(1(1(z0)))))))))))))), 0'(2(2(0(0(2(1(1(0(0(2(1(1(z0))))))))))))), 0'(0(2(1(1(0(0(2(1(1(z0)))))))))), 0'(2(1(1(0(0(2(1(1(z0))))))))), 1'(1(0(0(2(1(1(z0))))))), 1'(0(0(2(1(1(z0)))))), 0'(0(2(1(1(z0))))), 0'(2(1(1(z0)))), 1'(1(z0)), 1'(z0))
   0'(2(c_0(c_0(c_1(c_0(2(c_1(c_0(2(2(c_0(c_1(c_0(2(c_1(2(c_1(c_1(2(z0)))))))))))))))))))) -> c77(0'(2(1(0(2(1(0(2(1(2(1(0(1(2(0(1(0(0(0(0(z0)))))))))))))))))))), 1'(0(2(1(0(2(1(2(1(0(1(2(0(1(0(0(0(0(z0)))))))))))))))))), 0'(2(1(0(2(1(2(1(0(1(2(0(1(0(0(0(0(z0))))))))))))))))), 1'(0(2(1(2(1(0(1(2(0(1(0(0(0(0(z0))))))))))))))), 0'(2(1(2(1(0(1(2(0(1(0(0(0(0(z0)))))))))))))), 1'(2(1(0(1(2(0(1(0(0(0(0(z0)))))))))))), 1'(0(1(2(0(1(0(0(0(0(z0)))))))))), 0'(1(2(0(1(0(0(0(0(z0))))))))), 1'(2(0(1(0(0(0(0(z0)))))))), 0'(1(0(0(0(0(z0)))))), 1'(0(0(0(0(z0))))), 0'(0(0(0(z0)))), 0'(0(0(z0))), 0'(0(z0)), 0'(z0))
   0'(2(2(c_1(c_0(c_0(c_1(c_1(2(c_0(2(2(c_0(c_1(c_1(2(2(c_1(c_0(c_0(z0)))))))))))))))))))) -> c78(0'(2(1(0(2(2(0(0(0(0(0(1(2(1(0(1(1(2(1(1(z0)))))))))))))))))))), 1'(0(2(2(0(0(0(0(0(1(2(1(0(1(1(2(1(1(z0)))))))))))))))))), 0'(2(2(0(0(0(0(0(1(2(1(0(1(1(2(1(1(z0))))))))))))))))), 0'(0(0(0(0(1(2(1(0(1(1(2(1(1(z0)))))))))))))), 0'(0(0(0(1(2(1(0(1(1(2(1(1(z0))))))))))))), 0'(0(0(1(2(1(0(1(1(2(1(1(z0)))))))))))), 0'(0(1(2(1(0(1(1(2(1(1(z0))))))))))), 0'(1(2(1(0(1(1(2(1(1(z0)))))))))), 1'(2(1(0(1(1(2(1(1(z0))))))))), 1'(0(1(1(2(1(1(z0))))))), 0'(1(1(2(1(1(z0)))))), 1'(1(2(1(1(z0))))), 1'(2(1(1(z0)))), 1'(1(z0)), 1'(z0))
   0'(c_1(2(2(2(2(2(2(2(c_1(c_0(2(2(c_1(c_1(2(c_1(2(c_1(c_1(z0)))))))))))))))))))) -> c79(0'(2(1(0(2(1(0(1(2(0(0(0(1(2(0(0(0(0(0(1(z0)))))))))))))))))))), 1'(0(2(1(0(1(2(0(0(0(1(2(0(0(0(0(0(1(z0)))))))))))))))))), 0'(2(1(0(1(2(0(0(0(1(2(0(0(0(0(0(1(z0))))))))))))))))), 1'(0(1(2(0(0(0(1(2(0(0(0(0(0(1(z0))))))))))))))), 0'(1(2(0(0(0(1(2(0(0(0(0(0(1(z0)))))))))))))), 1'(2(0(0(0(1(2(0(0(0(0(0(1(z0))))))))))))), 0'(0(0(1(2(0(0(0(0(0(1(z0))))))))))), 0'(0(1(2(0(0(0(0(0(1(z0)))))))))), 0'(1(2(0(0(0(0(0(1(z0))))))))), 1'(2(0(0(0(0(0(1(z0)))))))), 0'(0(0(0(0(1(z0)))))), 0'(0(0(0(1(z0))))), 0'(0(0(1(z0)))), 0'(0(1(z0))), 0'(1(z0)), 1'(z0))
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   0'(c_1(c_0(c_1(c_0(c_1(c_1(c_0(c_0(c_0(c_1(c_0(2(c_1(c_1(2(c_0(c_1(c_0(c_1(z0)))))))))))))))))))) -> c93(0'(0(2(1(1(0(0(2(0(2(1(0(1(1(0(2(2(0(1(2(z0)))))))))))))))))))), 0'(2(1(1(0(0(2(0(2(1(0(1(1(0(2(2(0(1(2(z0))))))))))))))))))), 1'(1(0(0(2(0(2(1(0(1(1(0(2(2(0(1(2(z0))))))))))))))))), 1'(0(0(2(0(2(1(0(1(1(0(2(2(0(1(2(z0)))))))))))))))), 0'(0(2(0(2(1(0(1(1(0(2(2(0(1(2(z0))))))))))))))), 0'(2(0(2(1(0(1(1(0(2(2(0(1(2(z0)))))))))))))), 0'(2(1(0(1(1(0(2(2(0(1(2(z0)))))))))))), 1'(0(1(1(0(2(2(0(1(2(z0)))))))))), 0'(1(1(0(2(2(0(1(2(z0))))))))), 1'(1(0(2(2(0(1(2(z0)))))))), 1'(0(2(2(0(1(2(z0))))))), 0'(2(2(0(1(2(z0)))))), 0'(1(2(z0))), 1'(2(z0)))
   0'(c_0(c_1(2(2(c_0(c_1(c_1(2(c_0(c_0(2(2(c_1(c_0(2(c_1(2(c_1(c_0(z0)))))))))))))))))))) -> c94(0'(2(2(0(2(0(2(1(0(2(0(0(2(2(1(0(0(0(2(0(z0)))))))))))))))))))), 0'(2(0(2(1(0(2(0(0(2(2(1(0(0(0(2(0(z0))))))))))))))))), 0'(2(1(0(2(0(0(2(2(1(0(0(0(2(0(z0))))))))))))))), 1'(0(2(0(0(2(2(1(0(0(0(2(0(z0))))))))))))), 0'(2(0(0(2(2(1(0(0(0(2(0(z0)))))))))))), 0'(0(2(2(1(0(0(0(2(0(z0)))))))))), 0'(2(2(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))), 0'(z0))
   0'(c_0(c_0(2(2(c_1(c_1(2(2(c_0(c_0(2(c_1(2(c_0(c_1(c_1(c_0(2(2(z0)))))))))))))))))))) -> c95(0'(2(2(2(1(0(0(2(1(2(1(2(1(2(1(1(1(2(0(2(z0)))))))))))))))))))), 1'(0(0(2(1(2(1(2(1(2(1(1(1(2(0(2(z0)))))))))))))))), 0'(0(2(1(2(1(2(1(2(1(1(1(2(0(2(z0))))))))))))))), 0'(2(1(2(1(2(1(2(1(1(1(2(0(2(z0)))))))))))))), 1'(2(1(2(1(2(1(1(1(2(0(2(z0)))))))))))), 1'(2(1(2(1(1(1(2(0(2(z0)))))))))), 1'(2(1(1(1(2(0(2(z0)))))))), 1'(1(1(2(0(2(z0)))))), 1'(1(2(0(2(z0))))), 1'(2(0(2(z0)))), 0'(2(z0)))
   0'(c_1(c_1(c_1(2(2(c_1(2(c_1(c_1(c_1(c_0(c_0(c_1(c_1(c_1(2(c_1(c_1(c_0(z0)))))))))))))))))))) -> c98(0'(0(1(0(2(0(1(1(1(2(0(2(1(2(2(0(2(1(2(1(z0)))))))))))))))))))), 0'(1(0(2(0(1(1(1(2(0(2(1(2(2(0(2(1(2(1(z0))))))))))))))))))), 1'(0(2(0(1(1(1(2(0(2(1(2(2(0(2(1(2(1(z0)))))))))))))))))), 0'(2(0(1(1(1(2(0(2(1(2(2(0(2(1(2(1(z0))))))))))))))))), 0'(1(1(1(2(0(2(1(2(2(0(2(1(2(1(z0))))))))))))))), 1'(1(1(2(0(2(1(2(2(0(2(1(2(1(z0)))))))))))))), 1'(1(2(0(2(1(2(2(0(2(1(2(1(z0))))))))))))), 1'(2(0(2(1(2(2(0(2(1(2(1(z0)))))))))))), 0'(2(1(2(2(0(2(1(2(1(z0)))))))))), 1'(2(2(0(2(1(2(1(z0)))))))), 0'(2(1(2(1(z0))))), 1'(2(1(z0))), 1'(z0))
   0'(c_0(2(c_0(c_1(c_1(2(c_0(2(c_1(c_0(2(2(c_1(c_1(c_0(c_1(2(c_0(c_1(z0)))))))))))))))))))) -> c99(0'(1(2(0(2(0(1(0(1(2(1(0(0(2(2(1(0(1(0(1(z0)))))))))))))))))))), 1'(2(0(2(0(1(0(1(2(1(0(0(2(2(1(0(1(0(1(z0))))))))))))))))))), 0'(2(0(1(0(1(2(1(0(0(2(2(1(0(1(0(1(z0))))))))))))))))), 0'(1(0(1(2(1(0(0(2(2(1(0(1(0(1(z0))))))))))))))), 1'(0(1(2(1(0(0(2(2(1(0(1(0(1(z0)))))))))))))), 0'(1(2(1(0(0(2(2(1(0(1(0(1(z0))))))))))))), 1'(2(1(0(0(2(2(1(0(1(0(1(z0)))))))))))), 1'(0(0(2(2(1(0(1(0(1(z0)))))))))), 0'(0(2(2(1(0(1(0(1(z0))))))))), 0'(2(2(1(0(1(0(1(z0)))))))), 1'(0(1(0(1(z0))))), 0'(1(0(1(z0)))), 1'(0(1(z0))), 0'(1(z0)), 1'(z0))
   0'(c_1(c_1(2(2(2(2(c_1(c_0(2(c_0(c_0(c_1(2(2(c_1(2(2(2(2(z0)))))))))))))))))))) -> c100(0'(1(0(0(2(0(0(1(2(1(2(0(1(2(2(1(0(2(0(2(z0)))))))))))))))))))), 1'(0(0(2(0(0(1(2(1(2(0(1(2(2(1(0(2(0(2(z0))))))))))))))))))), 0'(0(2(0(0(1(2(1(2(0(1(2(2(1(0(2(0(2(z0)))))))))))))))))), 0'(2(0(0(1(2(1(2(0(1(2(2(1(0(2(0(2(z0))))))))))))))))), 0'(0(1(2(1(2(0(1(2(2(1(0(2(0(2(z0))))))))))))))), 0'(1(2(1(2(0(1(2(2(1(0(2(0(2(z0)))))))))))))), 1'(2(1(2(0(1(2(2(1(0(2(0(2(z0))))))))))))), 1'(2(0(1(2(2(1(0(2(0(2(z0))))))))))), 0'(1(2(2(1(0(2(0(2(z0))))))))), 1'(2(2(1(0(2(0(2(z0)))))))), 1'(0(2(0(2(z0))))), 0'(2(0(2(z0)))), 0'(2(z0)))
   0'(2(c_0(c_1(2(c_1(c_1(c_1(c_1(2(c_0(2(c_1(2(c_0(c_1(2(2(c_0(c_1(z0)))))))))))))))))))) -> c101(0'(1(1(1(1(2(1(0(0(1(1(0(2(1(0(0(2(0(0(1(z0)))))))))))))))))))), 1'(1(1(1(2(1(0(0(1(1(0(2(1(0(0(2(0(0(1(z0))))))))))))))))))), 1'(1(1(2(1(0(0(1(1(0(2(1(0(0(2(0(0(1(z0)))))))))))))))))), 1'(1(2(1(0(0(1(1(0(2(1(0(0(2(0(0(1(z0))))))))))))))))), 1'(2(1(0(0(1(1(0(2(1(0(0(2(0(0(1(z0)))))))))))))))), 1'(0(0(1(1(0(2(1(0(0(2(0(0(1(z0)))))))))))))), 0'(0(1(1(0(2(1(0(0(2(0(0(1(z0))))))))))))), 0'(1(1(0(2(1(0(0(2(0(0(1(z0)))))))))))), 1'(1(0(2(1(0(0(2(0(0(1(z0))))))))))), 1'(0(2(1(0(0(2(0(0(1(z0)))))))))), 0'(2(1(0(0(2(0(0(1(z0))))))))), 1'(0(0(2(0(0(1(z0))))))), 0'(0(2(0(0(1(z0)))))), 0'(2(0(0(1(z0))))), 0'(0(1(z0))), 0'(1(z0)), 1'(z0))
   0'(c_1(c_0(c_1(c_1(2(c_1(c_0(c_0(c_0(2(2(2(c_1(2(c_1(2(c_1(c_0(2(z0)))))))))))))))))))) -> c102(0'(1(0(0(2(2(1(2(1(0(1(0(0(0(2(0(0(2(1(2(z0)))))))))))))))))))), 1'(0(0(2(2(1(2(1(0(1(0(0(0(2(0(0(2(1(2(z0))))))))))))))))))), 0'(0(2(2(1(2(1(0(1(0(0(0(2(0(0(2(1(2(z0)))))))))))))))))), 0'(2(2(1(2(1(0(1(0(0(0(2(0(0(2(1(2(z0))))))))))))))))), 1'(2(1(0(1(0(0(0(2(0(0(2(1(2(z0)))))))))))))), 1'(0(1(0(0(0(2(0(0(2(1(2(z0)))))))))))), 0'(1(0(0(0(2(0(0(2(1(2(z0))))))))))), 1'(0(0(0(2(0(0(2(1(2(z0)))))))))), 0'(0(0(2(0(0(2(1(2(z0))))))))), 0'(0(2(0(0(2(1(2(z0)))))))), 0'(2(0(0(2(1(2(z0))))))), 0'(0(2(1(2(z0))))), 0'(2(1(2(z0)))), 1'(2(z0)))
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   0'(c_1(c_0(2(2(2(c_1(2(c_1(c_1(c_1(2(c_1(c_0(2(c_1(c_1(c_1(c_0(c_1(z0)))))))))))))))))))) -> c61(0'(0(1(2(2(2(1(0(0(1(1(2(1(1(2(0(0(1(2(0(z0)))))))))))))))))))), 0'(1(2(2(2(1(0(0(1(1(2(1(1(2(0(0(1(2(0(z0))))))))))))))))))), 1'(0(0(1(1(2(1(1(2(0(0(1(2(0(z0)))))))))))))), 0'(0(1(1(2(1(1(2(0(0(1(2(0(z0))))))))))))), 0'(1(1(2(1(1(2(0(0(1(2(0(z0)))))))))))), 1'(1(2(1(1(2(0(0(1(2(0(z0))))))))))), 1'(2(1(1(2(0(0(1(2(0(z0)))))))))), 1'(1(2(0(0(1(2(0(z0)))))))), 1'(2(0(0(1(2(0(z0))))))), 0'(0(1(2(0(z0))))), 0'(1(2(0(z0)))), 1'(2(0(z0))), 0'(z0))
   0'(c_1(c_1(c_0(2(c_1(c_1(c_0(c_0(c_1(c_1(c_1(2(2(2(c_0(2(c_0(c_0(2(z0)))))))))))))))))))) -> c63(0'(1(2(1(0(2(1(0(1(2(2(2(0(0(2(0(2(2(1(2(z0)))))))))))))))))))), 1'(2(1(0(2(1(0(1(2(2(2(0(0(2(0(2(2(1(2(z0))))))))))))))))))), 1'(0(2(1(0(1(2(2(2(0(0(2(0(2(2(1(2(z0))))))))))))))))), 0'(2(1(0(1(2(2(2(0(0(2(0(2(2(1(2(z0)))))))))))))))), 1'(0(1(2(2(2(0(0(2(0(2(2(1(2(z0)))))))))))))), 0'(1(2(2(2(0(0(2(0(2(2(1(2(z0))))))))))))), 0'(0(2(0(2(2(1(2(z0)))))))), 0'(2(0(2(2(1(2(z0))))))), 0'(2(2(1(2(z0))))), 1'(2(z0)))
   0'(c_1(c_1(c_1(c_1(2(c_0(c_0(c_0(2(2(2(2(c_1(c_0(2(2(2(c_0(c_1(z0)))))))))))))))))))) -> c65(0'(2(0(0(0(1(2(0(1(2(2(2(1(2(1(1(1(2(1(2(z0)))))))))))))))))))), 0'(0(0(1(2(0(1(2(2(2(1(2(1(1(1(2(1(2(z0)))))))))))))))))), 0'(0(1(2(0(1(2(2(2(1(2(1(1(1(2(1(2(z0))))))))))))))))), 0'(1(2(0(1(2(2(2(1(2(1(1(1(2(1(2(z0)))))))))))))))), 1'(2(0(1(2(2(2(1(2(1(1(1(2(1(2(z0))))))))))))))), 0'(1(2(2(2(1(2(1(1(1(2(1(2(z0))))))))))))), 1'(2(1(1(1(2(1(2(z0)))))))), 1'(1(1(2(1(2(z0)))))), 1'(1(2(1(2(z0))))), 1'(2(1(2(z0)))), 1'(2(z0)))
   0'(2(c_1(c_1(c_1(c_0(c_0(c_1(2(c_1(2(c_1(c_1(2(c_0(2(c_1(c_0(c_1(2(z0)))))))))))))))))))) -> c74(0'(1(0(1(0(2(0(0(0(1(1(1(2(0(0(0(1(2(2(2(z0)))))))))))))))))))), 1'(0(1(0(2(0(0(0(1(1(1(2(0(0(0(1(2(2(2(z0))))))))))))))))))), 0'(1(0(2(0(0(0(1(1(1(2(0(0(0(1(2(2(2(z0)))))))))))))))))), 1'(0(2(0(0(0(1(1(1(2(0(0(0(1(2(2(2(z0))))))))))))))))), 0'(2(0(0(0(1(1(1(2(0(0(0(1(2(2(2(z0)))))))))))))))), 0'(0(0(1(1(1(2(0(0(0(1(2(2(2(z0)))))))))))))), 0'(0(1(1(1(2(0(0(0(1(2(2(2(z0))))))))))))), 0'(1(1(1(2(0(0(0(1(2(2(2(z0)))))))))))), 1'(1(1(2(0(0(0(1(2(2(2(z0))))))))))), 1'(1(2(0(0(0(1(2(2(2(z0)))))))))), 1'(2(0(0(0(1(2(2(2(z0))))))))), 0'(0(0(1(2(2(2(z0))))))), 0'(0(1(2(2(2(z0)))))), 0'(1(2(2(2(z0))))))
   0'(2(2(c_1(c_1(c_1(c_1(c_0(c_0(c_1(c_0(c_1(c_0(2(2(c_1(c_1(2(2(c_1(z0)))))))))))))))))))) -> c75(0'(2(2(2(0(2(2(1(1(2(2(2(2(0(2(0(0(2(0(2(z0)))))))))))))))))))), 0'(2(2(1(1(2(2(2(2(0(2(0(0(2(0(2(z0)))))))))))))))), 1'(1(2(2(2(2(0(2(0(0(2(0(2(z0))))))))))))), 0'(2(0(0(2(0(2(z0))))))), 0'(0(2(0(2(z0))))), 0'(2(0(2(z0)))), 0'(2(z0)))
   0'(c_1(c_0(c_1(c_1(2(2(c_0(c_0(c_0(2(2(2(c_1(c_1(c_0(c_1(c_1(c_1(c_1(z0)))))))))))))))))))) -> c81(0'(0(2(2(2(2(2(2(1(1(0(1(2(2(0(1(2(0(2(1(z0)))))))))))))))))))), 1'(1(0(1(2(2(0(1(2(0(2(1(z0)))))))))))), 1'(0(1(2(2(0(1(2(0(2(1(z0))))))))))), 0'(1(2(2(0(1(2(0(2(1(z0)))))))))), 1'(2(2(0(1(2(0(2(1(z0))))))))), 0'(1(2(0(2(1(z0)))))), 1'(2(0(2(1(z0))))), 0'(2(1(z0))), 1'(z0))
   0'(c_0(c_1(c_1(c_0(2(2(c_1(c_1(c_1(c_1(c_1(2(c_0(2(c_1(c_0(2(2(c_1(z0)))))))))))))))))))) -> c82(0'(2(0(1(1(0(1(2(2(2(0(0(2(2(2(0(2(0(0(0(z0)))))))))))))))))))), 0'(1(1(0(1(2(2(2(0(0(2(2(2(0(2(0(0(0(z0)))))))))))))))))), 1'(1(0(1(2(2(2(0(0(2(2(2(0(2(0(0(0(z0))))))))))))))))), 1'(0(1(2(2(2(0(0(2(2(2(0(2(0(0(0(z0)))))))))))))))), 0'(1(2(2(2(0(0(2(2(2(0(2(0(0(0(z0))))))))))))))), 0'(0(2(2(2(0(2(0(0(0(z0)))))))))), 0'(2(2(2(0(2(0(0(0(z0))))))))), 0'(2(0(0(0(z0))))), 0'(0(0(z0))), 0'(0(z0)), 0'(z0))
   0'(c_1(c_1(c_0(c_1(c_1(c_1(c_1(2(c_0(2(c_0(2(2(2(c_0(c_0(c_0(2(c_1(z0)))))))))))))))))))) -> c86(0'(1(0(1(2(2(2(0(2(2(1(1(2(2(2(0(0(0(1(0(z0)))))))))))))))))))), 1'(0(1(2(2(2(0(2(2(1(1(2(2(2(0(0(0(1(0(z0))))))))))))))))))), 0'(1(2(2(2(0(2(2(1(1(2(2(2(0(0(0(1(0(z0)))))))))))))))))), 0'(2(2(1(1(2(2(2(0(0(0(1(0(z0))))))))))))), 1'(1(2(2(2(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_1(c_0(c_1(2(2(2(c_1(c_1(2(c_1(2(c_1(c_0(2(c_0(c_1(2(c_0(z0)))))))))))))))))))) -> c87(0'(2(0(1(1(2(2(2(1(0(0(2(1(0(0(0(0(2(0(2(z0)))))))))))))))))))), 0'(1(1(2(2(2(1(0(0(2(1(0(0(0(0(2(0(2(z0)))))))))))))))))), 1'(1(2(2(2(1(0(0(2(1(0(0(0(0(2(0(2(z0))))))))))))))))), 1'(0(0(2(1(0(0(0(0(2(0(2(z0)))))))))))), 0'(0(2(1(0(0(0(0(2(0(2(z0))))))))))), 0'(2(1(0(0(0(0(2(0(2(z0)))))))))), 1'(0(0(0(0(2(0(2(z0)))))))), 0'(0(0(0(2(0(2(z0))))))), 0'(0(0(2(0(2(z0)))))), 0'(0(2(0(2(z0))))), 0'(2(0(2(z0)))), 0'(2(z0)))
   0'(c_1(c_1(2(c_0(2(c_0(2(2(c_1(c_1(2(c_0(c_1(2(2(c_0(c_1(c_0(c_0(z0)))))))))))))))))))) -> c91(0'(1(2(0(0(0(2(1(2(0(1(2(2(2(2(0(1(1(0(1(z0)))))))))))))))))))), 1'(2(0(0(0(2(1(2(0(1(2(2(2(2(0(1(1(0(1(z0))))))))))))))))))), 0'(0(0(2(1(2(0(1(2(2(2(2(0(1(1(0(1(z0))))))))))))))))), 0'(0(2(1(2(0(1(2(2(2(2(0(1(1(0(1(z0)))))))))))))))), 0'(2(1(2(0(1(2(2(2(2(0(1(1(0(1(z0))))))))))))))), 1'(2(0(1(2(2(2(2(0(1(1(0(1(z0))))))))))))), 0'(1(2(2(2(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))
   0'(2(c_1(c_1(2(c_0(2(2(2(c_0(c_1(2(c_0(2(c_0(2(2(c_0(c_0(c_1(z0)))))))))))))))))))) -> c92(0'(0(2(1(2(0(0(0(2(0(1(2(2(2(1(0(1(1(1(0(z0)))))))))))))))))))), 0'(2(1(2(0(0(0(2(0(1(2(2(2(1(0(1(1(1(0(z0))))))))))))))))))), 1'(2(0(0(0(2(0(1(2(2(2(1(0(1(1(1(0(z0))))))))))))))))), 0'(0(0(2(0(1(2(2(2(1(0(1(1(1(0(z0))))))))))))))), 0'(0(2(0(1(2(2(2(1(0(1(1(1(0(z0)))))))))))))), 0'(2(0(1(2(2(2(1(0(1(1(1(0(z0))))))))))))), 0'(1(2(2(2(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))
   0'(c_1(2(c_1(c_0(c_1(2(2(c_1(c_1(c_0(c_0(c_1(c_1(2(2(c_1(c_0(c_1(c_1(z0)))))))))))))))))))) -> c96(0'(2(2(2(0(2(0(2(0(1(2(1(2(2(2(1(0(0(1(0(z0)))))))))))))))))))), 0'(2(0(2(0(1(2(1(2(2(2(1(0(0(1(0(z0)))))))))))))))), 0'(2(0(1(2(1(2(2(2(1(0(0(1(0(z0)))))))))))))), 0'(1(2(1(2(2(2(1(0(0(1(0(z0)))))))))))), 1'(2(1(2(2(2(1(0(0(1(0(z0))))))))))), 1'(0(0(1(0(z0))))), 0'(0(1(0(z0)))), 0'(1(0(z0))), 1'(0(z0)), 0'(z0))
   0'(2(2(c_1(c_1(2(2(c_1(c_0(2(c_1(2(c_1(c_1(2(2(2(c_0(2(c_0(z0)))))))))))))))))))) -> c97(0'(2(1(2(2(2(1(0(0(1(0(0(0(1(2(1(1(2(2(1(z0)))))))))))))))))))), 1'(0(0(1(0(0(0(1(2(1(1(2(2(1(z0)))))))))))))), 0'(0(1(0(0(0(1(2(1(1(2(2(1(z0))))))))))))), 0'(1(0(0(0(1(2(1(1(2(2(1(z0)))))))))))), 1'(0(0(0(1(2(1(1(2(2(1(z0))))))))))), 0'(0(0(1(2(1(1(2(2(1(z0)))))))))), 0'(0(1(2(1(1(2(2(1(z0))))))))), 0'(1(2(1(1(2(2(1(z0)))))))), 1'(2(1(1(2(2(1(z0))))))), 1'(1(2(2(1(z0))))), 1'(2(2(1(z0)))), 1'(z0))
   0'(c_0(c_1(c_0(2(2(c_1(2(c_0(c_0(c_1(c_1(2(2(2(c_1(c_1(2(c_1(c_1(x0)))))))))))))))))))) -> c7(0'(2(0(2(2(c_0(0(1(2(0(2(0(0(1(1(0(0(2(1(1(x0)))))))))))))))))))), 0'(2(2(0(0(1(2(0(2(0(0(1(1(0(0(2(1(1(x0)))))))))))))))))), 0'(0(1(2(0(2(0(0(1(1(0(0(2(1(1(x0))))))))))))))), 0'(1(2(0(2(0(0(1(1(0(0(2(1(1(x0)))))))))))))), 1'(2(0(2(0(0(1(1(0(0(2(1(1(x0))))))))))))), 0'(2(0(0(1(1(0(0(2(1(1(x0))))))))))), 0'(0(1(1(0(0(2(1(1(x0))))))))), 0'(1(1(0(0(2(1(1(x0)))))))), 1'(1(0(0(2(1(1(x0))))))), 1'(0(0(2(1(1(x0)))))), 0'(0(2(1(1(x0))))), 0'(2(1(1(x0)))), 1'(1(x0)), 1'(x0))
   0'(c_0(c_1(c_0(2(2(c_1(2(c_0(c_0(c_1(c_1(2(2(2(c_1(c_1(2(c_1(c_1(x0)))))))))))))))))))) -> c7(0'(2(0(2(2(0(c_0(1(2(0(2(0(0(1(1(0(0(2(1(1(x0)))))))))))))))))))), 0'(2(2(0(0(1(2(0(2(0(0(1(1(0(0(2(1(1(x0)))))))))))))))))), 0'(0(1(2(0(2(0(0(1(1(0(0(2(1(1(x0))))))))))))))), 0'(1(2(0(2(0(0(1(1(0(0(2(1(1(x0)))))))))))))), 1'(2(0(2(0(0(1(1(0(0(2(1(1(x0))))))))))))), 0'(2(0(0(1(1(0(0(2(1(1(x0))))))))))), 0'(0(1(1(0(0(2(1(1(x0))))))))), 0'(1(1(0(0(2(1(1(x0)))))))), 1'(1(0(0(2(1(1(x0))))))), 1'(0(0(2(1(1(x0)))))), 0'(0(2(1(1(x0))))), 0'(2(1(1(x0)))), 1'(1(x0)), 1'(x0))
   0'(c_0(c_1(c_0(2(2(c_1(2(c_0(c_0(c_1(c_1(2(2(2(c_1(c_1(2(c_1(c_1(x0)))))))))))))))))))) -> c7(0'(2(0(2(2(0(0(c_1(2(0(2(0(0(1(1(0(0(2(1(1(x0)))))))))))))))))))), 0'(2(2(0(0(1(2(0(2(0(0(1(1(0(0(2(1(1(x0)))))))))))))))))), 0'(0(1(2(0(2(0(0(1(1(0(0(2(1(1(x0))))))))))))))), 0'(1(2(0(2(0(0(1(1(0(0(2(1(1(x0)))))))))))))), 1'(2(0(2(0(0(1(1(0(0(2(1(1(x0))))))))))))), 0'(2(0(0(1(1(0(0(2(1(1(x0))))))))))), 0'(0(1(1(0(0(2(1(1(x0))))))))), 0'(1(1(0(0(2(1(1(x0)))))))), 1'(1(0(0(2(1(1(x0))))))), 1'(0(0(2(1(1(x0)))))), 0'(0(2(1(1(x0))))), 0'(2(1(1(x0)))), 1'(1(x0)), 1'(x0))
   0'(c_0(c_1(c_0(2(2(c_1(2(c_0(c_0(c_1(c_1(2(2(2(c_1(c_1(2(c_1(c_1(x0)))))))))))))))))))) -> c7(0'(2(0(2(2(0(0(1(2(c_0(2(0(0(1(1(0(0(2(1(1(x0)))))))))))))))))))), 0'(2(2(0(0(1(2(0(2(0(0(1(1(0(0(2(1(1(x0)))))))))))))))))), 0'(0(1(2(0(2(0(0(1(1(0(0(2(1(1(x0))))))))))))))), 0'(1(2(0(2(0(0(1(1(0(0(2(1(1(x0)))))))))))))), 1'(2(0(2(0(0(1(1(0(0(2(1(1(x0))))))))))))), 0'(2(0(0(1(1(0(0(2(1(1(x0))))))))))), 0'(0(1(1(0(0(2(1(1(x0))))))))), 0'(1(1(0(0(2(1(1(x0)))))))), 1'(1(0(0(2(1(1(x0))))))), 1'(0(0(2(1(1(x0)))))), 0'(0(2(1(1(x0))))), 0'(2(1(1(x0)))), 1'(1(x0)), 1'(x0))
   0'(c_0(c_1(c_0(2(2(c_1(2(c_0(c_0(c_1(c_1(2(2(2(c_1(c_1(2(c_1(c_1(x0)))))))))))))))))))) -> c7(0'(2(0(2(2(0(0(1(2(0(2(c_0(0(1(1(0(0(2(1(1(x0)))))))))))))))))))), 0'(2(2(0(0(1(2(0(2(0(0(1(1(0(0(2(1(1(x0)))))))))))))))))), 0'(0(1(2(0(2(0(0(1(1(0(0(2(1(1(x0))))))))))))))), 0'(1(2(0(2(0(0(1(1(0(0(2(1(1(x0)))))))))))))), 1'(2(0(2(0(0(1(1(0(0(2(1(1(x0))))))))))))), 0'(2(0(0(1(1(0(0(2(1(1(x0))))))))))), 0'(0(1(1(0(0(2(1(1(x0))))))))), 0'(1(1(0(0(2(1(1(x0)))))))), 1'(1(0(0(2(1(1(x0))))))), 1'(0(0(2(1(1(x0)))))), 0'(0(2(1(1(x0))))), 0'(2(1(1(x0)))), 1'(1(x0)), 1'(x0))
   0'(c_0(c_1(c_0(2(2(c_1(2(c_0(c_0(c_1(c_1(2(2(2(c_1(c_1(2(c_1(c_1(x0)))))))))))))))))))) -> c7(0'(2(0(2(2(0(0(1(2(0(2(0(c_0(1(1(0(0(2(1(1(x0)))))))))))))))))))), 0'(2(2(0(0(1(2(0(2(0(0(1(1(0(0(2(1(1(x0)))))))))))))))))), 0'(0(1(2(0(2(0(0(1(1(0(0(2(1(1(x0))))))))))))))), 0'(1(2(0(2(0(0(1(1(0(0(2(1(1(x0)))))))))))))), 1'(2(0(2(0(0(1(1(0(0(2(1(1(x0))))))))))))), 0'(2(0(0(1(1(0(0(2(1(1(x0))))))))))), 0'(0(1(1(0(0(2(1(1(x0))))))))), 0'(1(1(0(0(2(1(1(x0)))))))), 1'(1(0(0(2(1(1(x0))))))), 1'(0(0(2(1(1(x0)))))), 0'(0(2(1(1(x0))))), 0'(2(1(1(x0)))), 1'(1(x0)), 1'(x0))
   0'(c_0(c_1(c_0(2(2(c_1(2(c_0(c_0(c_1(c_1(2(2(2(c_1(c_1(2(c_1(c_1(x0)))))))))))))))))))) -> c7(0'(2(0(2(2(0(0(1(2(0(2(0(0(c_1(1(0(0(2(1(1(x0)))))))))))))))))))), 0'(2(2(0(0(1(2(0(2(0(0(1(1(0(0(2(1(1(x0)))))))))))))))))), 0'(0(1(2(0(2(0(0(1(1(0(0(2(1(1(x0))))))))))))))), 0'(1(2(0(2(0(0(1(1(0(0(2(1(1(x0)))))))))))))), 1'(2(0(2(0(0(1(1(0(0(2(1(1(x0))))))))))))), 0'(2(0(0(1(1(0(0(2(1(1(x0))))))))))), 0'(0(1(1(0(0(2(1(1(x0))))))))), 0'(1(1(0(0(2(1(1(x0)))))))), 1'(1(0(0(2(1(1(x0))))))), 1'(0(0(2(1(1(x0)))))), 0'(0(2(1(1(x0))))), 0'(2(1(1(x0)))), 1'(1(x0)), 1'(x0))
   0'(c_0(c_1(c_0(2(2(c_1(2(c_0(c_0(c_1(c_1(2(2(2(c_1(c_1(2(c_1(c_1(x0)))))))))))))))))))) -> c7(0'(2(0(2(2(0(0(1(2(0(2(0(0(1(c_1(0(0(2(1(1(x0)))))))))))))))))))), 0'(2(2(0(0(1(2(0(2(0(0(1(1(0(0(2(1(1(x0)))))))))))))))))), 0'(0(1(2(0(2(0(0(1(1(0(0(2(1(1(x0))))))))))))))), 0'(1(2(0(2(0(0(1(1(0(0(2(1(1(x0)))))))))))))), 1'(2(0(2(0(0(1(1(0(0(2(1(1(x0))))))))))))), 0'(2(0(0(1(1(0(0(2(1(1(x0))))))))))), 0'(0(1(1(0(0(2(1(1(x0))))))))), 0'(1(1(0(0(2(1(1(x0)))))))), 1'(1(0(0(2(1(1(x0))))))), 1'(0(0(2(1(1(x0)))))), 0'(0(2(1(1(x0))))), 0'(2(1(1(x0)))), 1'(1(x0)), 1'(x0))
   0'(c_0(c_1(c_0(2(2(c_1(2(c_0(c_0(c_1(c_1(2(2(2(c_1(c_1(2(c_1(c_1(x0)))))))))))))))))))) -> c7(0'(2(0(2(2(0(0(1(2(0(2(0(0(1(1(c_0(0(2(1(1(x0)))))))))))))))))))), 0'(2(2(0(0(1(2(0(2(0(0(1(1(0(0(2(1(1(x0)))))))))))))))))), 0'(0(1(2(0(2(0(0(1(1(0(0(2(1(1(x0))))))))))))))), 0'(1(2(0(2(0(0(1(1(0(0(2(1(1(x0)))))))))))))), 1'(2(0(2(0(0(1(1(0(0(2(1(1(x0))))))))))))), 0'(2(0(0(1(1(0(0(2(1(1(x0))))))))))), 0'(0(1(1(0(0(2(1(1(x0))))))))), 0'(1(1(0(0(2(1(1(x0)))))))), 1'(1(0(0(2(1(1(x0))))))), 1'(0(0(2(1(1(x0)))))), 0'(0(2(1(1(x0))))), 0'(2(1(1(x0)))), 1'(1(x0)), 1'(x0))
   0'(c_0(c_1(c_0(2(2(c_1(2(c_0(c_0(c_1(c_1(2(2(2(c_1(c_1(2(c_1(c_1(x0)))))))))))))))))))) -> c7(0'(2(0(2(2(0(0(1(2(0(2(0(0(1(1(0(c_0(2(1(1(x0)))))))))))))))))))), 0'(2(2(0(0(1(2(0(2(0(0(1(1(0(0(2(1(1(x0)))))))))))))))))), 0'(0(1(2(0(2(0(0(1(1(0(0(2(1(1(x0))))))))))))))), 0'(1(2(0(2(0(0(1(1(0(0(2(1(1(x0)))))))))))))), 1'(2(0(2(0(0(1(1(0(0(2(1(1(x0))))))))))))), 0'(2(0(0(1(1(0(0(2(1(1(x0))))))))))), 0'(0(1(1(0(0(2(1(1(x0))))))))), 0'(1(1(0(0(2(1(1(x0)))))))), 1'(1(0(0(2(1(1(x0))))))), 1'(0(0(2(1(1(x0)))))), 0'(0(2(1(1(x0))))), 0'(2(1(1(x0)))), 1'(1(x0)), 1'(x0))
   0'(c_0(c_1(c_0(2(2(c_1(2(c_0(c_0(c_1(c_1(2(2(2(c_1(c_1(2(c_1(c_1(x0)))))))))))))))))))) -> c7(0'(2(0(2(2(0(0(1(2(0(2(0(0(1(1(0(0(2(c_1(1(x0)))))))))))))))))))), 0'(2(2(0(0(1(2(0(2(0(0(1(1(0(0(2(1(1(x0)))))))))))))))))), 0'(0(1(2(0(2(0(0(1(1(0(0(2(1(1(x0))))))))))))))), 0'(1(2(0(2(0(0(1(1(0(0(2(1(1(x0)))))))))))))), 1'(2(0(2(0(0(1(1(0(0(2(1(1(x0))))))))))))), 0'(2(0(0(1(1(0(0(2(1(1(x0))))))))))), 0'(0(1(1(0(0(2(1(1(x0))))))))), 0'(1(1(0(0(2(1(1(x0)))))))), 1'(1(0(0(2(1(1(x0))))))), 1'(0(0(2(1(1(x0)))))), 0'(0(2(1(1(x0))))), 0'(2(1(1(x0)))), 1'(1(x0)), 1'(x0))
   0'(c_0(c_1(c_0(2(2(c_1(2(c_0(c_0(c_1(c_1(2(2(2(c_1(c_1(2(c_1(c_1(z0)))))))))))))))))))) -> c7(0'(2(0(2(2(0(0(1(2(0(2(0(0(1(1(0(0(2(1(c_1(z0)))))))))))))))))))), 0'(2(2(0(0(1(2(0(2(0(0(1(1(0(0(2(1(1(z0)))))))))))))))))), 0'(0(1(2(0(2(0(0(1(1(0(0(2(1(1(z0))))))))))))))), 0'(1(2(0(2(0(0(1(1(0(0(2(1(1(z0)))))))))))))), 1'(2(0(2(0(0(1(1(0(0(2(1(1(z0))))))))))))), 0'(2(0(0(1(1(0(0(2(1(1(z0))))))))))), 0'(0(1(1(0(0(2(1(1(z0))))))))), 0'(1(1(0(0(2(1(1(z0)))))))), 1'(1(0(0(2(1(1(z0))))))), 1'(0(0(2(1(1(z0)))))), 0'(0(2(1(1(z0))))), 0'(2(1(1(z0)))), 1'(1(z0)), 1'(z0))
   0'(c_0(c_1(c_0(2(2(c_1(2(c_0(c_0(c_1(c_1(2(2(2(c_1(c_1(2(c_1(c_1(2(2(c_0(2(c_0(2(c_1(2(c_1(2(c_1(c_0(c_0(c_1(c_0(c_0(2(c_0(c_1(z0))))))))))))))))))))))))))))))))))))))) -> c7(0'(2(0(2(2(0(0(1(2(0(2(0(0(1(1(0(0(2(1(1(0(1(2(0(1(0(0(1(0(0(0(2(1(0(0(1(0(0(2(z0))))))))))))))))))))))))))))))))))))))), 0'(2(2(0(0(1(2(0(2(0(0(1(1(0(0(2(1(1(2(2(c_0(2(c_0(2(c_1(2(c_1(2(c_1(c_0(c_0(c_1(c_0(c_0(2(c_0(c_1(z0))))))))))))))))))))))))))))))))))))), 0'(0(1(2(0(2(0(0(1(1(0(0(2(1(1(2(2(c_0(2(c_0(2(c_1(2(c_1(2(c_1(c_0(c_0(c_1(c_0(c_0(2(c_0(c_1(z0)))))))))))))))))))))))))))))))))), 0'(1(2(0(2(0(0(1(1(0(0(2(1(1(2(2(c_0(2(c_0(2(c_1(2(c_1(2(c_1(c_0(c_0(c_1(c_0(c_0(2(c_0(c_1(z0))))))))))))))))))))))))))))))))), 1'(2(0(2(0(0(1(1(0(0(2(1(1(2(2(c_0(2(c_0(2(c_1(2(c_1(2(c_1(c_0(c_0(c_1(c_0(c_0(2(c_0(c_1(z0)))))))))))))))))))))))))))))))), 0'(2(0(0(1(1(0(0(2(1(1(2(2(c_0(2(c_0(2(c_1(2(c_1(2(c_1(c_0(c_0(c_1(c_0(c_0(2(c_0(c_1(z0)))))))))))))))))))))))))))))), 0'(0(1(1(0(0(2(1(1(2(2(c_0(2(c_0(2(c_1(2(c_1(2(c_1(c_0(c_0(c_1(c_0(c_0(2(c_0(c_1(z0)))))))))))))))))))))))))))), 0'(1(1(0(0(2(1(1(2(2(c_0(2(c_0(2(c_1(2(c_1(2(c_1(c_0(c_0(c_1(c_0(c_0(2(c_0(c_1(z0))))))))))))))))))))))))))), 1'(1(0(0(2(1(1(2(2(c_0(2(c_0(2(c_1(2(c_1(2(c_1(c_0(c_0(c_1(c_0(c_0(2(c_0(c_1(z0)))))))))))))))))))))))))), 1'(0(0(2(1(1(2(2(c_0(2(c_0(2(c_1(2(c_1(2(c_1(c_0(c_0(c_1(c_0(c_0(2(c_0(c_1(z0))))))))))))))))))))))))), 0'(0(2(1(1(2(2(c_0(2(c_0(2(c_1(2(c_1(2(c_1(c_0(c_0(c_1(c_0(c_0(2(c_0(c_1(z0)))))))))))))))))))))))), 0'(2(1(1(2(2(c_0(2(c_0(2(c_1(2(c_1(2(c_1(c_0(c_0(c_1(c_0(c_0(2(c_0(c_1(z0))))))))))))))))))))))), 1'(1(2(2(c_0(2(c_0(2(c_1(2(c_1(2(c_1(c_0(c_0(c_1(c_0(c_0(2(c_0(c_1(z0))))))))))))))))))))), 1'(2(2(c_0(2(c_0(2(c_1(2(c_1(2(c_1(c_0(c_0(c_1(c_0(c_0(2(c_0(c_1(z0)))))))))))))))))))))
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K tuples:none
Defined Rule Symbols:   encArg_1, 0_1, 1_1

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

Compound Symbols:   c_1, c8_13, c10_13, c11_13, c12_15, c13_10, c14_13, c15_12, c16_14, c17_13, c18_13, c19_16, c20_13, c23_16, c24_12, c25_15, c26_14, c27_14, c28_14, c29_14, c30_12, c32_16, c33_14, c34_15, c35_11, c36_16, c37_16, c38_13, c39_15, c41_16, c42_11, c43_16, c44_12, c45_16, c46_15, c47_18, c48_10, c49_14, c50_13, c51_15, c52_15, c53_14, c54_15, c55_15, c56_13, c57_9, c58_11, c59_14, c60_13, c62_16, c64_15, c66_16, c67_14, c68_15, c69_14, c70_13, c71_13, c72_16, c73_15, c76_12, c77_15, c78_15, c79_16, c80_14, c83_16, c84_14, c85_15, c88_16, c89_12, c90_13, c93_14, c94_12, c95_11, c98_13, c99_15, c100_13, c101_17, c102_14, c103_11, c104_14, c106_17, c9_12, c21_10, c22_8, c31_15, c40_11, c61_13, c63_10, c65_11, c74_14, c75_7, c81_9, c82_11, c86_10, c87_12, c91_12, c92_13, c96_10, c97_12, c5_1, c1_2, c2_2, c7_14, c7_13