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


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


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# AProVE Commit ID: 794c25de1cacf0d048858bcd21c9a779e1221865 marcel 20200619 unpublished dirty


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

(0) DCpxTrs
(1) DerivationalComplexityToRuntimeComplexityProof [BOTH BOUNDS(ID, ID), 0 ms]
(2) CpxRelTRS
(3) SInnermostTerminationProof [BOTH CONCRETE BOUNDS(ID, ID), 59 ms]
(4) CpxRelTRS
(5) RelTrsToDecreasingLoopProblemProof [LOWER BOUND(ID), 0 ms]
(6) TRS for Loop Detection
(7) RenamingProof [BOTH BOUNDS(ID, ID), 10 ms]
(8) CpxRelTRS
    (9) TypeInferenceProof [BOTH BOUNDS(ID, ID), 0 ms]
    (10) typed CpxTrs
    (11) OrderProof [LOWER BOUND(ID), 9 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), 2969 ms]
    (18) CpxRelTRS
    (19) RelTrsToWeightedTrsProof [BOTH BOUNDS(ID, ID), 0 ms]
    (20) CpxWeightedTrs
        (21) CpxWeightedTrsRenamingProof [BOTH BOUNDS(ID, ID), 0 ms]
        (22) CpxWeightedTrs
        (23) TypeInferenceProof [BOTH BOUNDS(ID, ID), 0 ms]
        (24) CpxTypedWeightedTrs
        (25) CompletionProof [UPPER BOUND(ID), 4 ms]
        (26) CpxTypedWeightedCompleteTrs
            (27) NarrowingProof [BOTH BOUNDS(ID, ID), 2773 ms]
            (28) CpxTypedWeightedCompleteTrs
            (29) CpxTypedWeightedTrsToRntsProof [UPPER BOUND(ID), 102 ms]
            (30) CpxRNTS
            (31) SimplificationProof [BOTH BOUNDS(ID, ID), 55 ms]
            (32) CpxRNTS
        (33) CompletionProof [UPPER BOUND(ID), 0 ms]
        (34) CpxTypedWeightedCompleteTrs
            (35) CpxTypedWeightedTrsToRntsProof [UPPER BOUND(ID), 30 ms]
            (36) CpxRNTS
    (37) CpxTrsToCdtProof [UPPER BOUND(ID), 1739 ms]
    (38) CdtProblem
        (39) CdtLeafRemovalProof [BOTH BOUNDS(ID, ID), 17 ms]
        (40) CdtProblem
        (41) CdtGraphSplitRhsProof [BOTH BOUNDS(ID, ID), 22 ms]
        (42) CdtProblem
        (43) CdtLeafRemovalProof [ComplexityIfPolyImplication, 0 ms]
        (44) CdtProblem
        (45) CdtUsableRulesProof [BOTH BOUNDS(ID, ID), 13.8 s]
        (46) CdtProblem
        (47) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 4314 ms]
        (48) CdtProblem
        (49) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 4333 ms]
        (50) CdtProblem
        (51) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 4279 ms]
        (52) CdtProblem
        (53) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 4269 ms]
        (54) 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(0(2(2(3(2(1(1(0(3(2(1(1(1(2(4(x1)))))))))))))))))))) -> 0(3(2(3(3(2(1(4(2(2(2(1(0(0(2(0(1(2(2(4(x1))))))))))))))))))))
   0(0(2(2(2(1(2(3(0(2(0(4(4(0(3(3(3(0(0(3(x1)))))))))))))))))))) -> 0(0(0(3(3(1(1(1(4(4(1(4(3(3(0(3(3(2(4(3(x1))))))))))))))))))))
   0(0(4(0(2(1(4(1(4(0(1(2(0(0(4(1(0(3(2(1(x1)))))))))))))))))))) -> 2(3(3(3(1(3(2(4(2(1(1(3(0(2(1(2(3(4(2(1(x1))))))))))))))))))))
   0(1(3(0(2(4(3(0(3(1(0(2(4(2(2(0(3(4(1(1(x1)))))))))))))))))))) -> 4(0(2(4(3(1(3(1(0(2(3(3(2(1(0(4(4(1(2(1(x1))))))))))))))))))))
   0(1(4(0(3(1(3(3(0(3(1(4(4(1(1(1(4(0(4(0(x1)))))))))))))))))))) -> 3(2(0(3(2(4(3(4(4(2(1(0(1(4(1(3(1(4(4(4(x1))))))))))))))))))))
   0(1(4(1(3(1(0(2(4(1(3(0(4(3(1(3(1(1(1(0(x1)))))))))))))))))))) -> 3(2(1(1(4(1(2(1(4(0(2(1(1(4(4(0(1(2(2(1(x1))))))))))))))))))))
   0(1(4(2(3(1(1(2(3(2(3(1(0(1(0(2(0(2(3(2(x1)))))))))))))))))))) -> 3(1(3(2(0(4(1(3(2(1(0(4(0(4(4(3(2(1(4(3(x1))))))))))))))))))))
   0(1(4(3(4(0(1(0(2(3(4(0(3(4(2(0(1(4(0(3(x1)))))))))))))))))))) -> 0(3(3(4(2(1(0(1(3(3(0(3(2(4(1(3(2(3(1(4(x1))))))))))))))))))))
   0(2(0(1(2(0(3(1(2(1(3(3(1(3(2(0(0(4(2(1(x1)))))))))))))))))))) -> 1(2(2(0(4(4(0(3(1(4(1(3(4(3(3(4(4(4(2(1(x1))))))))))))))))))))
   0(2(1(2(1(0(2(3(0(0(4(2(3(1(4(0(3(1(3(1(x1)))))))))))))))))))) -> 3(1(2(3(4(3(0(2(2(2(1(2(2(3(4(2(1(4(3(1(x1))))))))))))))))))))
   0(2(1(4(2(4(3(4(0(0(3(0(2(4(1(4(4(0(1(1(x1)))))))))))))))))))) -> 4(4(3(3(1(4(0(3(2(3(3(1(4(0(1(2(1(4(1(0(x1))))))))))))))))))))
   0(2(1(4(4(4(3(4(2(1(1(0(0(1(4(4(2(0(3(4(x1)))))))))))))))))))) -> 1(0(1(4(2(1(0(2(4(4(4(0(1(1(3(1(3(4(3(1(x1))))))))))))))))))))
   0(2(3(4(2(2(4(4(1(0(3(2(2(4(2(2(3(1(1(4(x1)))))))))))))))))))) -> 1(3(1(4(0(3(1(1(4(3(3(2(2(1(2(0(2(0(3(4(x1))))))))))))))))))))
   0(2(4(3(1(4(0(3(3(4(4(2(2(4(4(0(4(1(0(0(x1)))))))))))))))))))) -> 4(2(1(0(1(3(3(4(0(0(2(3(3(4(3(1(4(1(0(4(x1))))))))))))))))))))
   0(3(0(0(1(1(4(3(4(3(0(4(2(1(4(3(4(2(1(2(x1)))))))))))))))))))) -> 1(4(0(1(2(2(2(3(4(4(2(4(2(2(1(3(1(4(2(4(x1))))))))))))))))))))
   0(3(2(0(1(4(3(0(2(4(0(2(0(0(1(4(4(2(4(4(x1)))))))))))))))))))) -> 4(0(0(0(4(4(2(1(3(1(0(1(2(2(2(4(4(4(2(3(x1))))))))))))))))))))
   0(4(1(1(1(2(1(4(3(2(4(4(2(2(4(2(0(4(1(1(x1)))))))))))))))))))) -> 2(1(1(4(2(2(3(1(3(1(2(2(2(4(1(3(3(4(3(0(x1))))))))))))))))))))
   0(4(4(1(1(0(1(4(1(1(1(4(0(1(0(0(4(1(4(3(x1)))))))))))))))))))) -> 2(2(1(0(2(2(3(4(2(1(2(0(3(0(3(3(1(1(4(2(x1))))))))))))))))))))
   0(4(4(3(2(0(4(1(0(4(3(1(1(0(2(1(1(3(2(1(x1)))))))))))))))))))) -> 2(1(2(2(1(2(3(2(1(2(4(2(4(2(3(2(3(4(4(1(x1))))))))))))))))))))
   0(4(4(4(0(2(2(1(3(2(1(0(4(1(3(0(1(3(4(4(x1)))))))))))))))))))) -> 3(2(3(0(1(2(2(3(1(4(0(4(1(1(1(4(2(2(1(1(x1))))))))))))))))))))
   1(0(0(0(3(2(4(3(1(2(3(0(2(4(1(0(1(2(4(2(x1)))))))))))))))))))) -> 2(0(0(4(4(1(4(3(2(1(3(1(3(0(4(1(1(4(0(2(x1))))))))))))))))))))
   1(0(0(4(0(0(1(2(3(0(1(4(1(3(0(2(1(4(0(0(x1)))))))))))))))))))) -> 4(1(2(4(1(3(3(4(3(3(3(1(2(2(4(1(0(3(3(1(x1))))))))))))))))))))
   1(0(1(1(3(3(0(2(0(2(2(1(0(4(1(0(4(3(1(4(x1)))))))))))))))))))) -> 1(2(4(1(0(0(0(1(4(2(0(0(4(4(4(1(4(3(1(4(x1))))))))))))))))))))
   1(1(0(2(4(4(4(1(2(4(4(1(0(4(2(2(1(3(0(3(x1)))))))))))))))))))) -> 2(1(1(1(1(3(3(4(3(1(1(4(4(2(1(3(1(0(0(3(x1))))))))))))))))))))
   1(2(0(3(1(0(2(0(4(1(4(4(2(4(0(4(3(4(4(3(x1)))))))))))))))))))) -> 2(1(4(4(4(1(4(1(1(2(4(1(1(2(2(1(1(0(0(0(x1))))))))))))))))))))
   1(2(4(4(0(0(4(3(0(2(2(3(0(0(4(4(3(3(3(2(x1)))))))))))))))))))) -> 4(2(3(2(1(0(4(3(3(1(3(3(1(4(2(0(0(1(4(3(x1))))))))))))))))))))
   1(3(4(3(0(3(1(4(3(2(4(0(1(0(0(1(3(3(1(1(x1)))))))))))))))))))) -> 1(2(2(4(3(1(4(4(3(1(1(0(3(3(0(3(0(1(0(4(x1))))))))))))))))))))
   1(4(1(2(3(0(0(2(3(4(1(4(0(2(0(4(1(1(2(0(x1)))))))))))))))))))) -> 4(3(1(2(1(4(4(3(4(3(2(2(1(3(2(1(3(4(1(4(x1))))))))))))))))))))
   1(4(1(3(0(1(1(1(1(0(4(0(0(3(0(3(2(4(3(4(x1)))))))))))))))))))) -> 1(4(4(0(4(0(0(2(4(0(4(3(2(1(2(4(2(4(3(1(x1))))))))))))))))))))
   1(4(2(3(1(4(2(2(0(4(2(3(0(1(3(2(1(3(3(4(x1)))))))))))))))))))) -> 1(4(1(3(4(3(0(1(4(0(2(1(0(1(1(0(3(1(2(2(x1))))))))))))))))))))
   1(4(2(4(4(3(3(4(3(3(4(1(4(1(2(3(4(1(1(2(x1)))))))))))))))))))) -> 3(2(2(0(3(0(2(2(1(2(1(0(3(4(1(3(1(2(1(2(x1))))))))))))))))))))
   2(0(0(0(0(1(4(4(3(1(3(3(2(2(1(4(4(2(3(1(x1)))))))))))))))))))) -> 2(4(1(0(1(4(3(1(2(2(2(1(1(1(3(4(4(0(1(2(x1))))))))))))))))))))
   2(0(0(3(3(1(0(4(2(3(1(2(3(0(4(1(3(0(4(4(x1)))))))))))))))))))) -> 4(0(3(4(3(3(1(2(1(4(1(4(4(3(0(3(0(1(0(0(x1))))))))))))))))))))
   2(0(1(4(4(3(3(4(2(3(1(3(1(1(3(0(4(1(3(2(x1)))))))))))))))))))) -> 2(1(4(3(1(0(3(1(4(4(4(2(2(0(0(4(2(0(2(2(x1))))))))))))))))))))
   2(0(2(2(1(3(3(2(4(0(1(0(3(1(4(0(0(0(1(3(x1)))))))))))))))))))) -> 1(3(4(2(0(1(1(3(1(3(4(4(2(3(1(0(1(3(1(3(x1))))))))))))))))))))
   2(0(4(3(4(4(2(1(0(0(2(4(4(2(1(1(1(1(1(4(x1)))))))))))))))))))) -> 0(4(0(1(2(2(1(4(2(1(4(3(0(4(3(4(1(1(3(1(x1))))))))))))))))))))
   2(1(1(3(2(4(3(0(1(4(2(0(3(1(2(0(4(0(3(2(x1)))))))))))))))))))) -> 2(2(1(0(4(2(0(1(3(0(4(1(2(4(4(3(2(2(1(2(x1))))))))))))))))))))
   2(1(3(3(4(1(4(0(4(0(3(0(0(2(4(1(4(0(0(3(x1)))))))))))))))))))) -> 1(0(0(4(3(3(0(3(2(2(4(3(2(2(1(1(3(1(4(1(x1))))))))))))))))))))
   2(2(2(0(0(0(3(4(4(0(2(1(2(0(0(2(0(3(0(0(x1)))))))))))))))))))) -> 4(2(3(4(0(4(2(1(0(3(1(1(1(3(0(0(3(1(2(0(x1))))))))))))))))))))
   2(2(3(3(0(2(0(3(0(1(4(3(2(2(1(0(2(2(4(4(x1)))))))))))))))))))) -> 4(1(2(4(2(1(4(2(2(0(3(0(1(4(1(2(4(3(4(0(x1))))))))))))))))))))
   2(2(3(3(1(3(1(2(0(0(4(3(4(2(2(0(2(2(4(0(x1)))))))))))))))))))) -> 2(1(2(0(4(4(1(0(2(4(1(3(2(1(3(1(0(2(3(3(x1))))))))))))))))))))
   2(2(4(1(0(3(0(4(2(4(3(3(4(3(3(1(0(1(0(0(x1)))))))))))))))))))) -> 0(4(3(4(1(0(3(4(4(4(3(0(4(0(1(2(1(3(1(4(x1))))))))))))))))))))
   2(3(0(2(4(0(1(0(3(4(3(3(1(4(1(0(4(3(2(2(x1)))))))))))))))))))) -> 3(1(3(1(2(2(0(4(1(3(1(1(4(2(3(4(4(4(4(4(x1))))))))))))))))))))
   2(3(0(4(0(2(4(4(4(2(1(2(0(3(2(2(1(1(3(0(x1)))))))))))))))))))) -> 2(1(1(1(4(4(1(1(4(0(2(3(2(4(1(0(2(4(2(1(x1))))))))))))))))))))
   2(3(0(4(1(3(1(3(0(0(1(1(1(1(2(3(1(4(2(1(x1)))))))))))))))))))) -> 1(0(2(2(2(3(3(1(0(4(3(1(4(2(2(1(1(0(3(1(x1))))))))))))))))))))
   2(3(1(3(2(1(4(1(0(2(4(2(0(0(2(3(4(4(3(2(x1)))))))))))))))))))) -> 4(1(1(4(3(2(3(1(4(1(4(4(1(3(1(2(3(4(4(1(x1))))))))))))))))))))
   2(3(2(4(2(1(0(0(2(4(3(4(1(1(3(2(4(2(1(2(x1)))))))))))))))))))) -> 2(3(2(1(1(0(2(0(1(1(3(2(1(4(3(1(1(0(3(1(x1))))))))))))))))))))
   2(3(3(3(4(0(4(1(0(2(2(4(2(4(1(1(3(3(4(1(x1)))))))))))))))))))) -> 4(2(1(4(1(0(3(1(4(4(3(3(0(1(3(1(2(4(3(0(x1))))))))))))))))))))
   2(3(4(4(0(0(4(4(4(3(3(0(4(2(2(3(0(0(1(3(x1)))))))))))))))))))) -> 0(2(0(4(3(3(2(1(4(4(1(2(0(1(2(4(3(3(4(1(x1))))))))))))))))))))
   2(4(2(3(0(2(3(2(2(3(2(1(0(3(4(1(3(1(0(1(x1)))))))))))))))))))) -> 1(3(0(4(4(1(3(2(1(0(2(4(1(0(2(2(0(4(4(1(x1))))))))))))))))))))
   2(4(3(4(4(4(4(3(2(4(4(2(3(3(1(1(0(4(2(2(x1)))))))))))))))))))) -> 4(1(4(3(4(2(2(1(2(1(4(4(3(1(0(4(3(4(0(0(x1))))))))))))))))))))
   3(0(1(4(2(2(1(1(2(4(4(1(1(1(3(1(1(3(3(3(x1)))))))))))))))))))) -> 3(3(4(2(1(1(3(1(2(1(2(2(1(3(4(1(4(2(4(2(x1))))))))))))))))))))
   3(0(2(2(1(0(0(0(0(0(3(1(0(0(4(3(4(2(2(0(x1)))))))))))))))))))) -> 3(2(2(0(0(2(2(4(0(4(3(4(3(0(2(2(3(2(1(0(x1))))))))))))))))))))
   3(0(3(0(0(1(3(2(4(4(4(0(3(0(1(4(1(2(4(3(x1)))))))))))))))))))) -> 2(2(3(2(1(0(2(0(0(2(0(4(0(4(0(4(3(2(2(3(x1))))))))))))))))))))
   3(0(3(0(4(1(3(1(1(0(4(1(2(3(4(1(1(0(1(4(x1)))))))))))))))))))) -> 2(0(1(2(4(3(2(1(4(2(4(0(3(2(4(2(3(1(4(1(x1))))))))))))))))))))
   3(0(3(3(3(4(2(1(4(2(2(3(2(0(4(4(4(1(1(1(x1)))))))))))))))))))) -> 1(4(3(4(2(2(4(3(2(0(1(4(1(1(3(1(2(1(1(3(x1))))))))))))))))))))
   3(1(0(0(0(4(0(4(3(0(2(4(3(3(3(1(1(3(0(1(x1)))))))))))))))))))) -> 4(2(4(2(0(1(2(3(4(1(0(3(1(2(2(0(4(4(2(4(x1))))))))))))))))))))
   3(1(0(0(1(0(4(4(1(0(1(2(4(0(2(1(3(0(2(0(x1)))))))))))))))))))) -> 4(4(3(2(4(2(1(2(0(0(1(4(2(3(0(0(1(0(1(4(x1))))))))))))))))))))
   3(1(4(4(1(4(3(4(0(3(0(2(0(3(2(1(2(3(2(4(x1)))))))))))))))))))) -> 2(0(3(1(2(3(1(2(1(2(1(3(3(4(2(0(0(2(2(1(x1))))))))))))))))))))
   3(2(0(0(1(4(1(0(3(3(0(3(0(1(4(1(3(3(2(1(x1)))))))))))))))))))) -> 1(2(2(2(1(1(4(3(0(3(2(2(4(2(1(4(4(3(1(4(x1))))))))))))))))))))
   3(2(1(0(2(3(1(2(3(2(0(1(0(3(0(0(1(4(2(1(x1)))))))))))))))))))) -> 1(3(1(4(1(1(1(4(0(0(2(1(0(4(1(2(2(3(1(1(x1))))))))))))))))))))
   3(2(2(3(3(0(0(4(4(0(4(4(4(2(3(3(1(1(2(1(x1)))))))))))))))))))) -> 3(0(3(4(4(4(4(1(4(3(3(0(0(2(3(2(1(2(2(1(x1))))))))))))))))))))
   3(2(4(0(0(2(4(0(4(3(4(2(1(1(2(4(3(3(2(1(x1)))))))))))))))))))) -> 0(3(3(4(3(1(4(2(4(3(2(1(4(1(4(0(3(1(4(2(x1))))))))))))))))))))
   3(2(4(4(2(0(2(4(4(3(3(1(1(2(4(2(3(4(4(2(x1)))))))))))))))))))) -> 1(4(1(3(3(2(1(2(3(4(2(4(1(3(0(4(2(1(3(1(x1))))))))))))))))))))
   3(3(0(3(0(4(2(0(1(3(3(4(1(0(3(2(2(1(1(1(x1)))))))))))))))))))) -> 4(0(1(3(1(2(1(0(1(1(2(3(0(4(3(3(1(3(0(1(x1))))))))))))))))))))
   3(3(1(1(2(2(4(2(1(4(3(3(4(3(1(0(0(2(1(1(x1)))))))))))))))))))) -> 2(2(2(0(3(1(1(1(4(1(0(3(1(2(1(4(1(3(1(1(x1))))))))))))))))))))
   3(3(3(4(2(3(3(0(1(3(4(4(4(0(4(2(2(4(0(2(x1)))))))))))))))))))) -> 3(4(3(4(1(3(4(2(2(2(2(0(4(1(3(3(1(1(4(4(x1))))))))))))))))))))
   3(3(4(1(1(4(4(3(1(0(1(3(0(0(3(1(3(3(2(0(x1)))))))))))))))))))) -> 2(1(4(1(1(1(4(2(4(2(4(1(3(4(2(3(3(2(2(4(x1))))))))))))))))))))
   3(4(0(0(1(2(0(4(4(4(4(4(1(2(2(4(4(0(3(0(x1)))))))))))))))))))) -> 3(2(3(4(1(1(4(3(4(4(1(1(2(2(4(4(0(0(4(0(x1))))))))))))))))))))
   3(4(0(0(4(1(4(1(1(0(1(0(1(2(1(3(2(2(3(4(x1)))))))))))))))))))) -> 1(3(4(2(1(3(0(1(4(3(1(3(4(0(4(1(2(4(0(2(x1))))))))))))))))))))
   3(4(0(3(1(3(3(3(0(1(3(2(2(3(4(2(2(4(4(2(x1)))))))))))))))))))) -> 0(3(2(1(1(1(3(2(4(0(3(0(3(3(0(2(1(2(1(2(x1))))))))))))))))))))
   3(4(1(4(3(2(2(4(1(1(4(4(2(3(0(1(1(3(0(1(x1)))))))))))))))))))) -> 4(1(4(0(1(4(1(2(2(4(2(2(1(2(2(1(1(1(3(2(x1))))))))))))))))))))
   3(4(2(1(4(1(3(4(3(4(2(0(2(2(4(3(0(1(0(1(x1)))))))))))))))))))) -> 4(2(1(4(1(2(2(2(2(2(3(1(0(1(2(4(3(1(2(4(x1))))))))))))))))))))
   3(4(2(4(2(0(3(4(2(4(3(1(4(3(4(0(4(4(3(1(x1)))))))))))))))))))) -> 3(4(1(3(2(3(3(4(4(1(1(3(1(3(3(1(1(4(1(0(x1))))))))))))))))))))
   3(4(4(0(0(0(0(3(2(2(2(1(4(4(4(1(2(4(0(3(x1)))))))))))))))))))) -> 1(1(4(0(0(2(0(1(2(2(2(2(0(1(3(1(0(2(0(0(x1))))))))))))))))))))
   4(0(0(3(3(1(0(2(2(0(4(0(4(3(0(0(2(2(1(3(x1)))))))))))))))))))) -> 0(0(3(2(1(2(3(2(4(3(1(2(0(2(2(1(1(0(3(1(x1))))))))))))))))))))
   4(0(2(1(3(3(4(4(0(0(0(3(2(3(4(4(4(3(2(3(x1)))))))))))))))))))) -> 4(0(2(1(4(0(2(0(0(4(0(4(1(0(2(3(4(4(1(2(x1))))))))))))))))))))
   4(0(2(4(2(1(4(2(4(2(4(1(2(0(1(0(3(0(3(0(x1)))))))))))))))))))) -> 0(3(1(0(4(1(4(2(3(1(4(4(1(2(0(1(0(0(0(4(x1))))))))))))))))))))
   4(0(3(0(3(1(1(2(0(4(3(0(4(3(1(0(0(4(2(4(x1)))))))))))))))))))) -> 2(4(4(4(4(2(2(2(2(4(3(2(2(3(4(1(2(0(1(3(x1))))))))))))))))))))
   4(0(4(3(0(0(2(1(2(2(0(3(0(3(1(1(1(3(3(3(x1)))))))))))))))))))) -> 4(1(2(1(1(2(2(1(1(2(0(1(0(2(4(4(1(1(1(0(x1))))))))))))))))))))
   4(1(0(2(0(3(2(1(1(3(1(1(0(1(1(2(0(0(4(4(x1)))))))))))))))))))) -> 2(1(4(2(2(2(2(2(2(2(0(1(0(3(1(0(1(1(4(0(x1))))))))))))))))))))
   4(1(1(0(3(0(1(3(0(4(4(2(1(2(4(2(0(0(3(0(x1)))))))))))))))))))) -> 2(3(2(0(1(4(4(4(3(2(3(3(1(4(3(4(2(0(1(3(x1))))))))))))))))))))
   4(1(1(1(2(2(3(3(3(4(4(0(2(0(2(1(0(1(0(0(x1)))))))))))))))))))) -> 1(1(0(3(4(0(2(3(1(4(2(4(1(0(4(0(3(1(1(4(x1))))))))))))))))))))
   4(1(2(1(0(4(3(1(3(0(2(3(3(4(3(1(0(0(0(4(x1)))))))))))))))))))) -> 3(2(0(2(2(1(2(1(1(2(3(0(1(3(3(3(2(4(1(0(x1))))))))))))))))))))
   4(1(3(2(2(4(4(2(0(0(3(2(3(1(1(3(2(3(3(1(x1)))))))))))))))))))) -> 3(2(1(2(1(3(2(1(3(2(3(2(1(1(2(1(2(3(4(3(x1))))))))))))))))))))
   4(1(3(4(1(3(0(2(4(3(4(3(3(1(0(2(0(1(2(4(x1)))))))))))))))))))) -> 2(0(4(4(1(0(2(2(1(1(4(0(4(0(1(4(0(4(4(3(x1))))))))))))))))))))
   4(1(3(4(2(3(0(4(4(3(3(1(1(3(4(1(1(3(3(0(x1)))))))))))))))))))) -> 2(4(4(4(4(2(2(4(1(0(2(2(4(0(3(2(2(2(2(2(x1))))))))))))))))))))
   4(2(1(2(1(1(2(3(4(2(3(2(1(4(2(2(4(0(3(0(x1)))))))))))))))))))) -> 3(1(0(2(1(3(1(2(1(0(2(1(1(3(1(0(4(0(3(4(x1))))))))))))))))))))
   4(3(1(3(2(2(4(0(1(0(4(0(0(2(1(0(1(4(3(0(x1)))))))))))))))))))) -> 1(3(1(1(1(1(3(4(4(1(4(4(1(4(0(4(2(4(1(3(x1))))))))))))))))))))
   4(3(2(0(1(0(2(2(3(1(4(0(0(3(4(0(0(1(1(2(x1)))))))))))))))))))) -> 3(2(0(3(0(0(4(1(1(4(2(4(1(4(3(1(3(1(4(3(x1))))))))))))))))))))
   4(3(2(3(2(2(1(2(0(3(0(0(0(1(1(3(2(4(3(4(x1)))))))))))))))))))) -> 1(3(1(4(0(2(1(0(0(1(3(4(0(3(3(4(2(1(2(1(x1))))))))))))))))))))
   4(3(3(2(2(1(3(4(4(2(4(2(3(0(0(2(2(3(2(4(x1)))))))))))))))))))) -> 3(2(2(1(1(0(2(2(4(0(0(0(2(1(3(1(0(4(3(4(x1))))))))))))))))))))
   4(3(4(3(4(4(2(0(4(4(2(0(2(0(4(4(2(2(3(3(x1)))))))))))))))))))) -> 3(4(0(1(3(0(0(4(3(1(2(2(3(1(3(4(2(2(0(3(x1))))))))))))))))))))
   4(3(4(3(4(4(3(0(3(3(2(2(3(1(3(2(2(3(4(1(x1)))))))))))))))))))) -> 4(1(0(0(4(3(4(1(2(4(3(3(2(1(3(4(1(0(3(1(x1))))))))))))))))))))
   4(3(4(4(2(2(3(2(0(4(2(4(2(2(1(4(2(3(3(0(x1)))))))))))))))))))) -> 1(2(1(2(1(1(0(4(0(1(1(4(2(1(0(4(1(0(4(3(x1))))))))))))))))))))
   4(4(0(4(4(1(0(3(3(2(0(3(0(1(3(0(3(1(3(3(x1)))))))))))))))))))) -> 2(1(0(3(1(3(1(4(3(3(0(0(1(4(4(1(2(2(3(0(x1))))))))))))))))))))
   4(4(1(1(2(0(1(0(2(2(1(0(0(1(0(0(1(1(3(2(x1)))))))))))))))))))) -> 3(1(4(1(4(4(3(1(2(3(3(2(1(3(3(1(1(3(2(4(x1))))))))))))))))))))
   4(4(3(2(1(2(0(3(0(4(0(2(1(4(4(0(2(1(3(0(x1)))))))))))))))))))) -> 4(2(4(1(4(2(2(0(1(0(3(1(3(0(1(3(3(2(1(0(x1))))))))))))))))))))
   4(4(3(4(4(2(4(1(1(0(2(3(1(0(3(1(2(2(4(0(x1)))))))))))))))))))) -> 1(2(1(1(1(2(4(1(4(3(1(4(1(4(3(2(0(4(2(2(x1))))))))))))))))))))

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

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

   encArg(cons_0(x_1)) -> 0(encArg(x_1))
   encArg(cons_1(x_1)) -> 1(encArg(x_1))
   encArg(cons_2(x_1)) -> 2(encArg(x_1))
   encArg(cons_3(x_1)) -> 3(encArg(x_1))
   encArg(cons_4(x_1)) -> 4(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))
   encode_3(x_1) -> 3(encArg(x_1))
   encode_4(x_1) -> 4(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(0(2(2(3(2(1(1(0(3(2(1(1(1(2(4(x1)))))))))))))))))))) -> 0(3(2(3(3(2(1(4(2(2(2(1(0(0(2(0(1(2(2(4(x1))))))))))))))))))))
   0(0(2(2(2(1(2(3(0(2(0(4(4(0(3(3(3(0(0(3(x1)))))))))))))))))))) -> 0(0(0(3(3(1(1(1(4(4(1(4(3(3(0(3(3(2(4(3(x1))))))))))))))))))))
   0(0(4(0(2(1(4(1(4(0(1(2(0(0(4(1(0(3(2(1(x1)))))))))))))))))))) -> 2(3(3(3(1(3(2(4(2(1(1(3(0(2(1(2(3(4(2(1(x1))))))))))))))))))))
   0(1(3(0(2(4(3(0(3(1(0(2(4(2(2(0(3(4(1(1(x1)))))))))))))))))))) -> 4(0(2(4(3(1(3(1(0(2(3(3(2(1(0(4(4(1(2(1(x1))))))))))))))))))))
   0(1(4(0(3(1(3(3(0(3(1(4(4(1(1(1(4(0(4(0(x1)))))))))))))))))))) -> 3(2(0(3(2(4(3(4(4(2(1(0(1(4(1(3(1(4(4(4(x1))))))))))))))))))))
   0(1(4(1(3(1(0(2(4(1(3(0(4(3(1(3(1(1(1(0(x1)))))))))))))))))))) -> 3(2(1(1(4(1(2(1(4(0(2(1(1(4(4(0(1(2(2(1(x1))))))))))))))))))))
   0(1(4(2(3(1(1(2(3(2(3(1(0(1(0(2(0(2(3(2(x1)))))))))))))))))))) -> 3(1(3(2(0(4(1(3(2(1(0(4(0(4(4(3(2(1(4(3(x1))))))))))))))))))))
   0(1(4(3(4(0(1(0(2(3(4(0(3(4(2(0(1(4(0(3(x1)))))))))))))))))))) -> 0(3(3(4(2(1(0(1(3(3(0(3(2(4(1(3(2(3(1(4(x1))))))))))))))))))))
   0(2(0(1(2(0(3(1(2(1(3(3(1(3(2(0(0(4(2(1(x1)))))))))))))))))))) -> 1(2(2(0(4(4(0(3(1(4(1(3(4(3(3(4(4(4(2(1(x1))))))))))))))))))))
   0(2(1(2(1(0(2(3(0(0(4(2(3(1(4(0(3(1(3(1(x1)))))))))))))))))))) -> 3(1(2(3(4(3(0(2(2(2(1(2(2(3(4(2(1(4(3(1(x1))))))))))))))))))))
   0(2(1(4(2(4(3(4(0(0(3(0(2(4(1(4(4(0(1(1(x1)))))))))))))))))))) -> 4(4(3(3(1(4(0(3(2(3(3(1(4(0(1(2(1(4(1(0(x1))))))))))))))))))))
   0(2(1(4(4(4(3(4(2(1(1(0(0(1(4(4(2(0(3(4(x1)))))))))))))))))))) -> 1(0(1(4(2(1(0(2(4(4(4(0(1(1(3(1(3(4(3(1(x1))))))))))))))))))))
   0(2(3(4(2(2(4(4(1(0(3(2(2(4(2(2(3(1(1(4(x1)))))))))))))))))))) -> 1(3(1(4(0(3(1(1(4(3(3(2(2(1(2(0(2(0(3(4(x1))))))))))))))))))))
   0(2(4(3(1(4(0(3(3(4(4(2(2(4(4(0(4(1(0(0(x1)))))))))))))))))))) -> 4(2(1(0(1(3(3(4(0(0(2(3(3(4(3(1(4(1(0(4(x1))))))))))))))))))))
   0(3(0(0(1(1(4(3(4(3(0(4(2(1(4(3(4(2(1(2(x1)))))))))))))))))))) -> 1(4(0(1(2(2(2(3(4(4(2(4(2(2(1(3(1(4(2(4(x1))))))))))))))))))))
   0(3(2(0(1(4(3(0(2(4(0(2(0(0(1(4(4(2(4(4(x1)))))))))))))))))))) -> 4(0(0(0(4(4(2(1(3(1(0(1(2(2(2(4(4(4(2(3(x1))))))))))))))))))))
   0(4(1(1(1(2(1(4(3(2(4(4(2(2(4(2(0(4(1(1(x1)))))))))))))))))))) -> 2(1(1(4(2(2(3(1(3(1(2(2(2(4(1(3(3(4(3(0(x1))))))))))))))))))))
   0(4(4(1(1(0(1(4(1(1(1(4(0(1(0(0(4(1(4(3(x1)))))))))))))))))))) -> 2(2(1(0(2(2(3(4(2(1(2(0(3(0(3(3(1(1(4(2(x1))))))))))))))))))))
   0(4(4(3(2(0(4(1(0(4(3(1(1(0(2(1(1(3(2(1(x1)))))))))))))))))))) -> 2(1(2(2(1(2(3(2(1(2(4(2(4(2(3(2(3(4(4(1(x1))))))))))))))))))))
   0(4(4(4(0(2(2(1(3(2(1(0(4(1(3(0(1(3(4(4(x1)))))))))))))))))))) -> 3(2(3(0(1(2(2(3(1(4(0(4(1(1(1(4(2(2(1(1(x1))))))))))))))))))))
   1(0(0(0(3(2(4(3(1(2(3(0(2(4(1(0(1(2(4(2(x1)))))))))))))))))))) -> 2(0(0(4(4(1(4(3(2(1(3(1(3(0(4(1(1(4(0(2(x1))))))))))))))))))))
   1(0(0(4(0(0(1(2(3(0(1(4(1(3(0(2(1(4(0(0(x1)))))))))))))))))))) -> 4(1(2(4(1(3(3(4(3(3(3(1(2(2(4(1(0(3(3(1(x1))))))))))))))))))))
   1(0(1(1(3(3(0(2(0(2(2(1(0(4(1(0(4(3(1(4(x1)))))))))))))))))))) -> 1(2(4(1(0(0(0(1(4(2(0(0(4(4(4(1(4(3(1(4(x1))))))))))))))))))))
   1(1(0(2(4(4(4(1(2(4(4(1(0(4(2(2(1(3(0(3(x1)))))))))))))))))))) -> 2(1(1(1(1(3(3(4(3(1(1(4(4(2(1(3(1(0(0(3(x1))))))))))))))))))))
   1(2(0(3(1(0(2(0(4(1(4(4(2(4(0(4(3(4(4(3(x1)))))))))))))))))))) -> 2(1(4(4(4(1(4(1(1(2(4(1(1(2(2(1(1(0(0(0(x1))))))))))))))))))))
   1(2(4(4(0(0(4(3(0(2(2(3(0(0(4(4(3(3(3(2(x1)))))))))))))))))))) -> 4(2(3(2(1(0(4(3(3(1(3(3(1(4(2(0(0(1(4(3(x1))))))))))))))))))))
   1(3(4(3(0(3(1(4(3(2(4(0(1(0(0(1(3(3(1(1(x1)))))))))))))))))))) -> 1(2(2(4(3(1(4(4(3(1(1(0(3(3(0(3(0(1(0(4(x1))))))))))))))))))))
   1(4(1(2(3(0(0(2(3(4(1(4(0(2(0(4(1(1(2(0(x1)))))))))))))))))))) -> 4(3(1(2(1(4(4(3(4(3(2(2(1(3(2(1(3(4(1(4(x1))))))))))))))))))))
   1(4(1(3(0(1(1(1(1(0(4(0(0(3(0(3(2(4(3(4(x1)))))))))))))))))))) -> 1(4(4(0(4(0(0(2(4(0(4(3(2(1(2(4(2(4(3(1(x1))))))))))))))))))))
   1(4(2(3(1(4(2(2(0(4(2(3(0(1(3(2(1(3(3(4(x1)))))))))))))))))))) -> 1(4(1(3(4(3(0(1(4(0(2(1(0(1(1(0(3(1(2(2(x1))))))))))))))))))))
   1(4(2(4(4(3(3(4(3(3(4(1(4(1(2(3(4(1(1(2(x1)))))))))))))))))))) -> 3(2(2(0(3(0(2(2(1(2(1(0(3(4(1(3(1(2(1(2(x1))))))))))))))))))))
   2(0(0(0(0(1(4(4(3(1(3(3(2(2(1(4(4(2(3(1(x1)))))))))))))))))))) -> 2(4(1(0(1(4(3(1(2(2(2(1(1(1(3(4(4(0(1(2(x1))))))))))))))))))))
   2(0(0(3(3(1(0(4(2(3(1(2(3(0(4(1(3(0(4(4(x1)))))))))))))))))))) -> 4(0(3(4(3(3(1(2(1(4(1(4(4(3(0(3(0(1(0(0(x1))))))))))))))))))))
   2(0(1(4(4(3(3(4(2(3(1(3(1(1(3(0(4(1(3(2(x1)))))))))))))))))))) -> 2(1(4(3(1(0(3(1(4(4(4(2(2(0(0(4(2(0(2(2(x1))))))))))))))))))))
   2(0(2(2(1(3(3(2(4(0(1(0(3(1(4(0(0(0(1(3(x1)))))))))))))))))))) -> 1(3(4(2(0(1(1(3(1(3(4(4(2(3(1(0(1(3(1(3(x1))))))))))))))))))))
   2(0(4(3(4(4(2(1(0(0(2(4(4(2(1(1(1(1(1(4(x1)))))))))))))))))))) -> 0(4(0(1(2(2(1(4(2(1(4(3(0(4(3(4(1(1(3(1(x1))))))))))))))))))))
   2(1(1(3(2(4(3(0(1(4(2(0(3(1(2(0(4(0(3(2(x1)))))))))))))))))))) -> 2(2(1(0(4(2(0(1(3(0(4(1(2(4(4(3(2(2(1(2(x1))))))))))))))))))))
   2(1(3(3(4(1(4(0(4(0(3(0(0(2(4(1(4(0(0(3(x1)))))))))))))))))))) -> 1(0(0(4(3(3(0(3(2(2(4(3(2(2(1(1(3(1(4(1(x1))))))))))))))))))))
   2(2(2(0(0(0(3(4(4(0(2(1(2(0(0(2(0(3(0(0(x1)))))))))))))))))))) -> 4(2(3(4(0(4(2(1(0(3(1(1(1(3(0(0(3(1(2(0(x1))))))))))))))))))))
   2(2(3(3(0(2(0(3(0(1(4(3(2(2(1(0(2(2(4(4(x1)))))))))))))))))))) -> 4(1(2(4(2(1(4(2(2(0(3(0(1(4(1(2(4(3(4(0(x1))))))))))))))))))))
   2(2(3(3(1(3(1(2(0(0(4(3(4(2(2(0(2(2(4(0(x1)))))))))))))))))))) -> 2(1(2(0(4(4(1(0(2(4(1(3(2(1(3(1(0(2(3(3(x1))))))))))))))))))))
   2(2(4(1(0(3(0(4(2(4(3(3(4(3(3(1(0(1(0(0(x1)))))))))))))))))))) -> 0(4(3(4(1(0(3(4(4(4(3(0(4(0(1(2(1(3(1(4(x1))))))))))))))))))))
   2(3(0(2(4(0(1(0(3(4(3(3(1(4(1(0(4(3(2(2(x1)))))))))))))))))))) -> 3(1(3(1(2(2(0(4(1(3(1(1(4(2(3(4(4(4(4(4(x1))))))))))))))))))))
   2(3(0(4(0(2(4(4(4(2(1(2(0(3(2(2(1(1(3(0(x1)))))))))))))))))))) -> 2(1(1(1(4(4(1(1(4(0(2(3(2(4(1(0(2(4(2(1(x1))))))))))))))))))))
   2(3(0(4(1(3(1(3(0(0(1(1(1(1(2(3(1(4(2(1(x1)))))))))))))))))))) -> 1(0(2(2(2(3(3(1(0(4(3(1(4(2(2(1(1(0(3(1(x1))))))))))))))))))))
   2(3(1(3(2(1(4(1(0(2(4(2(0(0(2(3(4(4(3(2(x1)))))))))))))))))))) -> 4(1(1(4(3(2(3(1(4(1(4(4(1(3(1(2(3(4(4(1(x1))))))))))))))))))))
   2(3(2(4(2(1(0(0(2(4(3(4(1(1(3(2(4(2(1(2(x1)))))))))))))))))))) -> 2(3(2(1(1(0(2(0(1(1(3(2(1(4(3(1(1(0(3(1(x1))))))))))))))))))))
   2(3(3(3(4(0(4(1(0(2(2(4(2(4(1(1(3(3(4(1(x1)))))))))))))))))))) -> 4(2(1(4(1(0(3(1(4(4(3(3(0(1(3(1(2(4(3(0(x1))))))))))))))))))))
   2(3(4(4(0(0(4(4(4(3(3(0(4(2(2(3(0(0(1(3(x1)))))))))))))))))))) -> 0(2(0(4(3(3(2(1(4(4(1(2(0(1(2(4(3(3(4(1(x1))))))))))))))))))))
   2(4(2(3(0(2(3(2(2(3(2(1(0(3(4(1(3(1(0(1(x1)))))))))))))))))))) -> 1(3(0(4(4(1(3(2(1(0(2(4(1(0(2(2(0(4(4(1(x1))))))))))))))))))))
   2(4(3(4(4(4(4(3(2(4(4(2(3(3(1(1(0(4(2(2(x1)))))))))))))))))))) -> 4(1(4(3(4(2(2(1(2(1(4(4(3(1(0(4(3(4(0(0(x1))))))))))))))))))))
   3(0(1(4(2(2(1(1(2(4(4(1(1(1(3(1(1(3(3(3(x1)))))))))))))))))))) -> 3(3(4(2(1(1(3(1(2(1(2(2(1(3(4(1(4(2(4(2(x1))))))))))))))))))))
   3(0(2(2(1(0(0(0(0(0(3(1(0(0(4(3(4(2(2(0(x1)))))))))))))))))))) -> 3(2(2(0(0(2(2(4(0(4(3(4(3(0(2(2(3(2(1(0(x1))))))))))))))))))))
   3(0(3(0(0(1(3(2(4(4(4(0(3(0(1(4(1(2(4(3(x1)))))))))))))))))))) -> 2(2(3(2(1(0(2(0(0(2(0(4(0(4(0(4(3(2(2(3(x1))))))))))))))))))))
   3(0(3(0(4(1(3(1(1(0(4(1(2(3(4(1(1(0(1(4(x1)))))))))))))))))))) -> 2(0(1(2(4(3(2(1(4(2(4(0(3(2(4(2(3(1(4(1(x1))))))))))))))))))))
   3(0(3(3(3(4(2(1(4(2(2(3(2(0(4(4(4(1(1(1(x1)))))))))))))))))))) -> 1(4(3(4(2(2(4(3(2(0(1(4(1(1(3(1(2(1(1(3(x1))))))))))))))))))))
   3(1(0(0(0(4(0(4(3(0(2(4(3(3(3(1(1(3(0(1(x1)))))))))))))))))))) -> 4(2(4(2(0(1(2(3(4(1(0(3(1(2(2(0(4(4(2(4(x1))))))))))))))))))))
   3(1(0(0(1(0(4(4(1(0(1(2(4(0(2(1(3(0(2(0(x1)))))))))))))))))))) -> 4(4(3(2(4(2(1(2(0(0(1(4(2(3(0(0(1(0(1(4(x1))))))))))))))))))))
   3(1(4(4(1(4(3(4(0(3(0(2(0(3(2(1(2(3(2(4(x1)))))))))))))))))))) -> 2(0(3(1(2(3(1(2(1(2(1(3(3(4(2(0(0(2(2(1(x1))))))))))))))))))))
   3(2(0(0(1(4(1(0(3(3(0(3(0(1(4(1(3(3(2(1(x1)))))))))))))))))))) -> 1(2(2(2(1(1(4(3(0(3(2(2(4(2(1(4(4(3(1(4(x1))))))))))))))))))))
   3(2(1(0(2(3(1(2(3(2(0(1(0(3(0(0(1(4(2(1(x1)))))))))))))))))))) -> 1(3(1(4(1(1(1(4(0(0(2(1(0(4(1(2(2(3(1(1(x1))))))))))))))))))))
   3(2(2(3(3(0(0(4(4(0(4(4(4(2(3(3(1(1(2(1(x1)))))))))))))))))))) -> 3(0(3(4(4(4(4(1(4(3(3(0(0(2(3(2(1(2(2(1(x1))))))))))))))))))))
   3(2(4(0(0(2(4(0(4(3(4(2(1(1(2(4(3(3(2(1(x1)))))))))))))))))))) -> 0(3(3(4(3(1(4(2(4(3(2(1(4(1(4(0(3(1(4(2(x1))))))))))))))))))))
   3(2(4(4(2(0(2(4(4(3(3(1(1(2(4(2(3(4(4(2(x1)))))))))))))))))))) -> 1(4(1(3(3(2(1(2(3(4(2(4(1(3(0(4(2(1(3(1(x1))))))))))))))))))))
   3(3(0(3(0(4(2(0(1(3(3(4(1(0(3(2(2(1(1(1(x1)))))))))))))))))))) -> 4(0(1(3(1(2(1(0(1(1(2(3(0(4(3(3(1(3(0(1(x1))))))))))))))))))))
   3(3(1(1(2(2(4(2(1(4(3(3(4(3(1(0(0(2(1(1(x1)))))))))))))))))))) -> 2(2(2(0(3(1(1(1(4(1(0(3(1(2(1(4(1(3(1(1(x1))))))))))))))))))))
   3(3(3(4(2(3(3(0(1(3(4(4(4(0(4(2(2(4(0(2(x1)))))))))))))))))))) -> 3(4(3(4(1(3(4(2(2(2(2(0(4(1(3(3(1(1(4(4(x1))))))))))))))))))))
   3(3(4(1(1(4(4(3(1(0(1(3(0(0(3(1(3(3(2(0(x1)))))))))))))))))))) -> 2(1(4(1(1(1(4(2(4(2(4(1(3(4(2(3(3(2(2(4(x1))))))))))))))))))))
   3(4(0(0(1(2(0(4(4(4(4(4(1(2(2(4(4(0(3(0(x1)))))))))))))))))))) -> 3(2(3(4(1(1(4(3(4(4(1(1(2(2(4(4(0(0(4(0(x1))))))))))))))))))))
   3(4(0(0(4(1(4(1(1(0(1(0(1(2(1(3(2(2(3(4(x1)))))))))))))))))))) -> 1(3(4(2(1(3(0(1(4(3(1(3(4(0(4(1(2(4(0(2(x1))))))))))))))))))))
   3(4(0(3(1(3(3(3(0(1(3(2(2(3(4(2(2(4(4(2(x1)))))))))))))))))))) -> 0(3(2(1(1(1(3(2(4(0(3(0(3(3(0(2(1(2(1(2(x1))))))))))))))))))))
   3(4(1(4(3(2(2(4(1(1(4(4(2(3(0(1(1(3(0(1(x1)))))))))))))))))))) -> 4(1(4(0(1(4(1(2(2(4(2(2(1(2(2(1(1(1(3(2(x1))))))))))))))))))))
   3(4(2(1(4(1(3(4(3(4(2(0(2(2(4(3(0(1(0(1(x1)))))))))))))))))))) -> 4(2(1(4(1(2(2(2(2(2(3(1(0(1(2(4(3(1(2(4(x1))))))))))))))))))))
   3(4(2(4(2(0(3(4(2(4(3(1(4(3(4(0(4(4(3(1(x1)))))))))))))))))))) -> 3(4(1(3(2(3(3(4(4(1(1(3(1(3(3(1(1(4(1(0(x1))))))))))))))))))))
   3(4(4(0(0(0(0(3(2(2(2(1(4(4(4(1(2(4(0(3(x1)))))))))))))))))))) -> 1(1(4(0(0(2(0(1(2(2(2(2(0(1(3(1(0(2(0(0(x1))))))))))))))))))))
   4(0(0(3(3(1(0(2(2(0(4(0(4(3(0(0(2(2(1(3(x1)))))))))))))))))))) -> 0(0(3(2(1(2(3(2(4(3(1(2(0(2(2(1(1(0(3(1(x1))))))))))))))))))))
   4(0(2(1(3(3(4(4(0(0(0(3(2(3(4(4(4(3(2(3(x1)))))))))))))))))))) -> 4(0(2(1(4(0(2(0(0(4(0(4(1(0(2(3(4(4(1(2(x1))))))))))))))))))))
   4(0(2(4(2(1(4(2(4(2(4(1(2(0(1(0(3(0(3(0(x1)))))))))))))))))))) -> 0(3(1(0(4(1(4(2(3(1(4(4(1(2(0(1(0(0(0(4(x1))))))))))))))))))))
   4(0(3(0(3(1(1(2(0(4(3(0(4(3(1(0(0(4(2(4(x1)))))))))))))))))))) -> 2(4(4(4(4(2(2(2(2(4(3(2(2(3(4(1(2(0(1(3(x1))))))))))))))))))))
   4(0(4(3(0(0(2(1(2(2(0(3(0(3(1(1(1(3(3(3(x1)))))))))))))))))))) -> 4(1(2(1(1(2(2(1(1(2(0(1(0(2(4(4(1(1(1(0(x1))))))))))))))))))))
   4(1(0(2(0(3(2(1(1(3(1(1(0(1(1(2(0(0(4(4(x1)))))))))))))))))))) -> 2(1(4(2(2(2(2(2(2(2(0(1(0(3(1(0(1(1(4(0(x1))))))))))))))))))))
   4(1(1(0(3(0(1(3(0(4(4(2(1(2(4(2(0(0(3(0(x1)))))))))))))))))))) -> 2(3(2(0(1(4(4(4(3(2(3(3(1(4(3(4(2(0(1(3(x1))))))))))))))))))))
   4(1(1(1(2(2(3(3(3(4(4(0(2(0(2(1(0(1(0(0(x1)))))))))))))))))))) -> 1(1(0(3(4(0(2(3(1(4(2(4(1(0(4(0(3(1(1(4(x1))))))))))))))))))))
   4(1(2(1(0(4(3(1(3(0(2(3(3(4(3(1(0(0(0(4(x1)))))))))))))))))))) -> 3(2(0(2(2(1(2(1(1(2(3(0(1(3(3(3(2(4(1(0(x1))))))))))))))))))))
   4(1(3(2(2(4(4(2(0(0(3(2(3(1(1(3(2(3(3(1(x1)))))))))))))))))))) -> 3(2(1(2(1(3(2(1(3(2(3(2(1(1(2(1(2(3(4(3(x1))))))))))))))))))))
   4(1(3(4(1(3(0(2(4(3(4(3(3(1(0(2(0(1(2(4(x1)))))))))))))))))))) -> 2(0(4(4(1(0(2(2(1(1(4(0(4(0(1(4(0(4(4(3(x1))))))))))))))))))))
   4(1(3(4(2(3(0(4(4(3(3(1(1(3(4(1(1(3(3(0(x1)))))))))))))))))))) -> 2(4(4(4(4(2(2(4(1(0(2(2(4(0(3(2(2(2(2(2(x1))))))))))))))))))))
   4(2(1(2(1(1(2(3(4(2(3(2(1(4(2(2(4(0(3(0(x1)))))))))))))))))))) -> 3(1(0(2(1(3(1(2(1(0(2(1(1(3(1(0(4(0(3(4(x1))))))))))))))))))))
   4(3(1(3(2(2(4(0(1(0(4(0(0(2(1(0(1(4(3(0(x1)))))))))))))))))))) -> 1(3(1(1(1(1(3(4(4(1(4(4(1(4(0(4(2(4(1(3(x1))))))))))))))))))))
   4(3(2(0(1(0(2(2(3(1(4(0(0(3(4(0(0(1(1(2(x1)))))))))))))))))))) -> 3(2(0(3(0(0(4(1(1(4(2(4(1(4(3(1(3(1(4(3(x1))))))))))))))))))))
   4(3(2(3(2(2(1(2(0(3(0(0(0(1(1(3(2(4(3(4(x1)))))))))))))))))))) -> 1(3(1(4(0(2(1(0(0(1(3(4(0(3(3(4(2(1(2(1(x1))))))))))))))))))))
   4(3(3(2(2(1(3(4(4(2(4(2(3(0(0(2(2(3(2(4(x1)))))))))))))))))))) -> 3(2(2(1(1(0(2(2(4(0(0(0(2(1(3(1(0(4(3(4(x1))))))))))))))))))))
   4(3(4(3(4(4(2(0(4(4(2(0(2(0(4(4(2(2(3(3(x1)))))))))))))))))))) -> 3(4(0(1(3(0(0(4(3(1(2(2(3(1(3(4(2(2(0(3(x1))))))))))))))))))))
   4(3(4(3(4(4(3(0(3(3(2(2(3(1(3(2(2(3(4(1(x1)))))))))))))))))))) -> 4(1(0(0(4(3(4(1(2(4(3(3(2(1(3(4(1(0(3(1(x1))))))))))))))))))))
   4(3(4(4(2(2(3(2(0(4(2(4(2(2(1(4(2(3(3(0(x1)))))))))))))))))))) -> 1(2(1(2(1(1(0(4(0(1(1(4(2(1(0(4(1(0(4(3(x1))))))))))))))))))))
   4(4(0(4(4(1(0(3(3(2(0(3(0(1(3(0(3(1(3(3(x1)))))))))))))))))))) -> 2(1(0(3(1(3(1(4(3(3(0(0(1(4(4(1(2(2(3(0(x1))))))))))))))))))))
   4(4(1(1(2(0(1(0(2(2(1(0(0(1(0(0(1(1(3(2(x1)))))))))))))))))))) -> 3(1(4(1(4(4(3(1(2(3(3(2(1(3(3(1(1(3(2(4(x1))))))))))))))))))))
   4(4(3(2(1(2(0(3(0(4(0(2(1(4(4(0(2(1(3(0(x1)))))))))))))))))))) -> 4(2(4(1(4(2(2(0(1(0(3(1(3(0(1(3(3(2(1(0(x1))))))))))))))))))))
   4(4(3(4(4(2(4(1(1(0(2(3(1(0(3(1(2(2(4(0(x1)))))))))))))))))))) -> 1(2(1(1(1(2(4(1(4(3(1(4(1(4(3(2(0(4(2(2(x1))))))))))))))))))))

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

   encArg(cons_0(x_1)) -> 0(encArg(x_1))
   encArg(cons_1(x_1)) -> 1(encArg(x_1))
   encArg(cons_2(x_1)) -> 2(encArg(x_1))
   encArg(cons_3(x_1)) -> 3(encArg(x_1))
   encArg(cons_4(x_1)) -> 4(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))
   encode_3(x_1) -> 3(encArg(x_1))
   encode_4(x_1) -> 4(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(0(2(2(3(2(1(1(0(3(2(1(1(1(2(4(x1)))))))))))))))))))) -> 0(3(2(3(3(2(1(4(2(2(2(1(0(0(2(0(1(2(2(4(x1))))))))))))))))))))
   0(0(2(2(2(1(2(3(0(2(0(4(4(0(3(3(3(0(0(3(x1)))))))))))))))))))) -> 0(0(0(3(3(1(1(1(4(4(1(4(3(3(0(3(3(2(4(3(x1))))))))))))))))))))
   0(0(4(0(2(1(4(1(4(0(1(2(0(0(4(1(0(3(2(1(x1)))))))))))))))))))) -> 2(3(3(3(1(3(2(4(2(1(1(3(0(2(1(2(3(4(2(1(x1))))))))))))))))))))
   0(1(3(0(2(4(3(0(3(1(0(2(4(2(2(0(3(4(1(1(x1)))))))))))))))))))) -> 4(0(2(4(3(1(3(1(0(2(3(3(2(1(0(4(4(1(2(1(x1))))))))))))))))))))
   0(1(4(0(3(1(3(3(0(3(1(4(4(1(1(1(4(0(4(0(x1)))))))))))))))))))) -> 3(2(0(3(2(4(3(4(4(2(1(0(1(4(1(3(1(4(4(4(x1))))))))))))))))))))
   0(1(4(1(3(1(0(2(4(1(3(0(4(3(1(3(1(1(1(0(x1)))))))))))))))))))) -> 3(2(1(1(4(1(2(1(4(0(2(1(1(4(4(0(1(2(2(1(x1))))))))))))))))))))
   0(1(4(2(3(1(1(2(3(2(3(1(0(1(0(2(0(2(3(2(x1)))))))))))))))))))) -> 3(1(3(2(0(4(1(3(2(1(0(4(0(4(4(3(2(1(4(3(x1))))))))))))))))))))
   0(1(4(3(4(0(1(0(2(3(4(0(3(4(2(0(1(4(0(3(x1)))))))))))))))))))) -> 0(3(3(4(2(1(0(1(3(3(0(3(2(4(1(3(2(3(1(4(x1))))))))))))))))))))
   0(2(0(1(2(0(3(1(2(1(3(3(1(3(2(0(0(4(2(1(x1)))))))))))))))))))) -> 1(2(2(0(4(4(0(3(1(4(1(3(4(3(3(4(4(4(2(1(x1))))))))))))))))))))
   0(2(1(2(1(0(2(3(0(0(4(2(3(1(4(0(3(1(3(1(x1)))))))))))))))))))) -> 3(1(2(3(4(3(0(2(2(2(1(2(2(3(4(2(1(4(3(1(x1))))))))))))))))))))
   0(2(1(4(2(4(3(4(0(0(3(0(2(4(1(4(4(0(1(1(x1)))))))))))))))))))) -> 4(4(3(3(1(4(0(3(2(3(3(1(4(0(1(2(1(4(1(0(x1))))))))))))))))))))
   0(2(1(4(4(4(3(4(2(1(1(0(0(1(4(4(2(0(3(4(x1)))))))))))))))))))) -> 1(0(1(4(2(1(0(2(4(4(4(0(1(1(3(1(3(4(3(1(x1))))))))))))))))))))
   0(2(3(4(2(2(4(4(1(0(3(2(2(4(2(2(3(1(1(4(x1)))))))))))))))))))) -> 1(3(1(4(0(3(1(1(4(3(3(2(2(1(2(0(2(0(3(4(x1))))))))))))))))))))
   0(2(4(3(1(4(0(3(3(4(4(2(2(4(4(0(4(1(0(0(x1)))))))))))))))))))) -> 4(2(1(0(1(3(3(4(0(0(2(3(3(4(3(1(4(1(0(4(x1))))))))))))))))))))
   0(3(0(0(1(1(4(3(4(3(0(4(2(1(4(3(4(2(1(2(x1)))))))))))))))))))) -> 1(4(0(1(2(2(2(3(4(4(2(4(2(2(1(3(1(4(2(4(x1))))))))))))))))))))
   0(3(2(0(1(4(3(0(2(4(0(2(0(0(1(4(4(2(4(4(x1)))))))))))))))))))) -> 4(0(0(0(4(4(2(1(3(1(0(1(2(2(2(4(4(4(2(3(x1))))))))))))))))))))
   0(4(1(1(1(2(1(4(3(2(4(4(2(2(4(2(0(4(1(1(x1)))))))))))))))))))) -> 2(1(1(4(2(2(3(1(3(1(2(2(2(4(1(3(3(4(3(0(x1))))))))))))))))))))
   0(4(4(1(1(0(1(4(1(1(1(4(0(1(0(0(4(1(4(3(x1)))))))))))))))))))) -> 2(2(1(0(2(2(3(4(2(1(2(0(3(0(3(3(1(1(4(2(x1))))))))))))))))))))
   0(4(4(3(2(0(4(1(0(4(3(1(1(0(2(1(1(3(2(1(x1)))))))))))))))))))) -> 2(1(2(2(1(2(3(2(1(2(4(2(4(2(3(2(3(4(4(1(x1))))))))))))))))))))
   0(4(4(4(0(2(2(1(3(2(1(0(4(1(3(0(1(3(4(4(x1)))))))))))))))))))) -> 3(2(3(0(1(2(2(3(1(4(0(4(1(1(1(4(2(2(1(1(x1))))))))))))))))))))
   1(0(0(0(3(2(4(3(1(2(3(0(2(4(1(0(1(2(4(2(x1)))))))))))))))))))) -> 2(0(0(4(4(1(4(3(2(1(3(1(3(0(4(1(1(4(0(2(x1))))))))))))))))))))
   1(0(0(4(0(0(1(2(3(0(1(4(1(3(0(2(1(4(0(0(x1)))))))))))))))))))) -> 4(1(2(4(1(3(3(4(3(3(3(1(2(2(4(1(0(3(3(1(x1))))))))))))))))))))
   1(0(1(1(3(3(0(2(0(2(2(1(0(4(1(0(4(3(1(4(x1)))))))))))))))))))) -> 1(2(4(1(0(0(0(1(4(2(0(0(4(4(4(1(4(3(1(4(x1))))))))))))))))))))
   1(1(0(2(4(4(4(1(2(4(4(1(0(4(2(2(1(3(0(3(x1)))))))))))))))))))) -> 2(1(1(1(1(3(3(4(3(1(1(4(4(2(1(3(1(0(0(3(x1))))))))))))))))))))
   1(2(0(3(1(0(2(0(4(1(4(4(2(4(0(4(3(4(4(3(x1)))))))))))))))))))) -> 2(1(4(4(4(1(4(1(1(2(4(1(1(2(2(1(1(0(0(0(x1))))))))))))))))))))
   1(2(4(4(0(0(4(3(0(2(2(3(0(0(4(4(3(3(3(2(x1)))))))))))))))))))) -> 4(2(3(2(1(0(4(3(3(1(3(3(1(4(2(0(0(1(4(3(x1))))))))))))))))))))
   1(3(4(3(0(3(1(4(3(2(4(0(1(0(0(1(3(3(1(1(x1)))))))))))))))))))) -> 1(2(2(4(3(1(4(4(3(1(1(0(3(3(0(3(0(1(0(4(x1))))))))))))))))))))
   1(4(1(2(3(0(0(2(3(4(1(4(0(2(0(4(1(1(2(0(x1)))))))))))))))))))) -> 4(3(1(2(1(4(4(3(4(3(2(2(1(3(2(1(3(4(1(4(x1))))))))))))))))))))
   1(4(1(3(0(1(1(1(1(0(4(0(0(3(0(3(2(4(3(4(x1)))))))))))))))))))) -> 1(4(4(0(4(0(0(2(4(0(4(3(2(1(2(4(2(4(3(1(x1))))))))))))))))))))
   1(4(2(3(1(4(2(2(0(4(2(3(0(1(3(2(1(3(3(4(x1)))))))))))))))))))) -> 1(4(1(3(4(3(0(1(4(0(2(1(0(1(1(0(3(1(2(2(x1))))))))))))))))))))
   1(4(2(4(4(3(3(4(3(3(4(1(4(1(2(3(4(1(1(2(x1)))))))))))))))))))) -> 3(2(2(0(3(0(2(2(1(2(1(0(3(4(1(3(1(2(1(2(x1))))))))))))))))))))
   2(0(0(0(0(1(4(4(3(1(3(3(2(2(1(4(4(2(3(1(x1)))))))))))))))))))) -> 2(4(1(0(1(4(3(1(2(2(2(1(1(1(3(4(4(0(1(2(x1))))))))))))))))))))
   2(0(0(3(3(1(0(4(2(3(1(2(3(0(4(1(3(0(4(4(x1)))))))))))))))))))) -> 4(0(3(4(3(3(1(2(1(4(1(4(4(3(0(3(0(1(0(0(x1))))))))))))))))))))
   2(0(1(4(4(3(3(4(2(3(1(3(1(1(3(0(4(1(3(2(x1)))))))))))))))))))) -> 2(1(4(3(1(0(3(1(4(4(4(2(2(0(0(4(2(0(2(2(x1))))))))))))))))))))
   2(0(2(2(1(3(3(2(4(0(1(0(3(1(4(0(0(0(1(3(x1)))))))))))))))))))) -> 1(3(4(2(0(1(1(3(1(3(4(4(2(3(1(0(1(3(1(3(x1))))))))))))))))))))
   2(0(4(3(4(4(2(1(0(0(2(4(4(2(1(1(1(1(1(4(x1)))))))))))))))))))) -> 0(4(0(1(2(2(1(4(2(1(4(3(0(4(3(4(1(1(3(1(x1))))))))))))))))))))
   2(1(1(3(2(4(3(0(1(4(2(0(3(1(2(0(4(0(3(2(x1)))))))))))))))))))) -> 2(2(1(0(4(2(0(1(3(0(4(1(2(4(4(3(2(2(1(2(x1))))))))))))))))))))
   2(1(3(3(4(1(4(0(4(0(3(0(0(2(4(1(4(0(0(3(x1)))))))))))))))))))) -> 1(0(0(4(3(3(0(3(2(2(4(3(2(2(1(1(3(1(4(1(x1))))))))))))))))))))
   2(2(2(0(0(0(3(4(4(0(2(1(2(0(0(2(0(3(0(0(x1)))))))))))))))))))) -> 4(2(3(4(0(4(2(1(0(3(1(1(1(3(0(0(3(1(2(0(x1))))))))))))))))))))
   2(2(3(3(0(2(0(3(0(1(4(3(2(2(1(0(2(2(4(4(x1)))))))))))))))))))) -> 4(1(2(4(2(1(4(2(2(0(3(0(1(4(1(2(4(3(4(0(x1))))))))))))))))))))
   2(2(3(3(1(3(1(2(0(0(4(3(4(2(2(0(2(2(4(0(x1)))))))))))))))))))) -> 2(1(2(0(4(4(1(0(2(4(1(3(2(1(3(1(0(2(3(3(x1))))))))))))))))))))
   2(2(4(1(0(3(0(4(2(4(3(3(4(3(3(1(0(1(0(0(x1)))))))))))))))))))) -> 0(4(3(4(1(0(3(4(4(4(3(0(4(0(1(2(1(3(1(4(x1))))))))))))))))))))
   2(3(0(2(4(0(1(0(3(4(3(3(1(4(1(0(4(3(2(2(x1)))))))))))))))))))) -> 3(1(3(1(2(2(0(4(1(3(1(1(4(2(3(4(4(4(4(4(x1))))))))))))))))))))
   2(3(0(4(0(2(4(4(4(2(1(2(0(3(2(2(1(1(3(0(x1)))))))))))))))))))) -> 2(1(1(1(4(4(1(1(4(0(2(3(2(4(1(0(2(4(2(1(x1))))))))))))))))))))
   2(3(0(4(1(3(1(3(0(0(1(1(1(1(2(3(1(4(2(1(x1)))))))))))))))))))) -> 1(0(2(2(2(3(3(1(0(4(3(1(4(2(2(1(1(0(3(1(x1))))))))))))))))))))
   2(3(1(3(2(1(4(1(0(2(4(2(0(0(2(3(4(4(3(2(x1)))))))))))))))))))) -> 4(1(1(4(3(2(3(1(4(1(4(4(1(3(1(2(3(4(4(1(x1))))))))))))))))))))
   2(3(2(4(2(1(0(0(2(4(3(4(1(1(3(2(4(2(1(2(x1)))))))))))))))))))) -> 2(3(2(1(1(0(2(0(1(1(3(2(1(4(3(1(1(0(3(1(x1))))))))))))))))))))
   2(3(3(3(4(0(4(1(0(2(2(4(2(4(1(1(3(3(4(1(x1)))))))))))))))))))) -> 4(2(1(4(1(0(3(1(4(4(3(3(0(1(3(1(2(4(3(0(x1))))))))))))))))))))
   2(3(4(4(0(0(4(4(4(3(3(0(4(2(2(3(0(0(1(3(x1)))))))))))))))))))) -> 0(2(0(4(3(3(2(1(4(4(1(2(0(1(2(4(3(3(4(1(x1))))))))))))))))))))
   2(4(2(3(0(2(3(2(2(3(2(1(0(3(4(1(3(1(0(1(x1)))))))))))))))))))) -> 1(3(0(4(4(1(3(2(1(0(2(4(1(0(2(2(0(4(4(1(x1))))))))))))))))))))
   2(4(3(4(4(4(4(3(2(4(4(2(3(3(1(1(0(4(2(2(x1)))))))))))))))))))) -> 4(1(4(3(4(2(2(1(2(1(4(4(3(1(0(4(3(4(0(0(x1))))))))))))))))))))
   3(0(1(4(2(2(1(1(2(4(4(1(1(1(3(1(1(3(3(3(x1)))))))))))))))))))) -> 3(3(4(2(1(1(3(1(2(1(2(2(1(3(4(1(4(2(4(2(x1))))))))))))))))))))
   3(0(2(2(1(0(0(0(0(0(3(1(0(0(4(3(4(2(2(0(x1)))))))))))))))))))) -> 3(2(2(0(0(2(2(4(0(4(3(4(3(0(2(2(3(2(1(0(x1))))))))))))))))))))
   3(0(3(0(0(1(3(2(4(4(4(0(3(0(1(4(1(2(4(3(x1)))))))))))))))))))) -> 2(2(3(2(1(0(2(0(0(2(0(4(0(4(0(4(3(2(2(3(x1))))))))))))))))))))
   3(0(3(0(4(1(3(1(1(0(4(1(2(3(4(1(1(0(1(4(x1)))))))))))))))))))) -> 2(0(1(2(4(3(2(1(4(2(4(0(3(2(4(2(3(1(4(1(x1))))))))))))))))))))
   3(0(3(3(3(4(2(1(4(2(2(3(2(0(4(4(4(1(1(1(x1)))))))))))))))))))) -> 1(4(3(4(2(2(4(3(2(0(1(4(1(1(3(1(2(1(1(3(x1))))))))))))))))))))
   3(1(0(0(0(4(0(4(3(0(2(4(3(3(3(1(1(3(0(1(x1)))))))))))))))))))) -> 4(2(4(2(0(1(2(3(4(1(0(3(1(2(2(0(4(4(2(4(x1))))))))))))))))))))
   3(1(0(0(1(0(4(4(1(0(1(2(4(0(2(1(3(0(2(0(x1)))))))))))))))))))) -> 4(4(3(2(4(2(1(2(0(0(1(4(2(3(0(0(1(0(1(4(x1))))))))))))))))))))
   3(1(4(4(1(4(3(4(0(3(0(2(0(3(2(1(2(3(2(4(x1)))))))))))))))))))) -> 2(0(3(1(2(3(1(2(1(2(1(3(3(4(2(0(0(2(2(1(x1))))))))))))))))))))
   3(2(0(0(1(4(1(0(3(3(0(3(0(1(4(1(3(3(2(1(x1)))))))))))))))))))) -> 1(2(2(2(1(1(4(3(0(3(2(2(4(2(1(4(4(3(1(4(x1))))))))))))))))))))
   3(2(1(0(2(3(1(2(3(2(0(1(0(3(0(0(1(4(2(1(x1)))))))))))))))))))) -> 1(3(1(4(1(1(1(4(0(0(2(1(0(4(1(2(2(3(1(1(x1))))))))))))))))))))
   3(2(2(3(3(0(0(4(4(0(4(4(4(2(3(3(1(1(2(1(x1)))))))))))))))))))) -> 3(0(3(4(4(4(4(1(4(3(3(0(0(2(3(2(1(2(2(1(x1))))))))))))))))))))
   3(2(4(0(0(2(4(0(4(3(4(2(1(1(2(4(3(3(2(1(x1)))))))))))))))))))) -> 0(3(3(4(3(1(4(2(4(3(2(1(4(1(4(0(3(1(4(2(x1))))))))))))))))))))
   3(2(4(4(2(0(2(4(4(3(3(1(1(2(4(2(3(4(4(2(x1)))))))))))))))))))) -> 1(4(1(3(3(2(1(2(3(4(2(4(1(3(0(4(2(1(3(1(x1))))))))))))))))))))
   3(3(0(3(0(4(2(0(1(3(3(4(1(0(3(2(2(1(1(1(x1)))))))))))))))))))) -> 4(0(1(3(1(2(1(0(1(1(2(3(0(4(3(3(1(3(0(1(x1))))))))))))))))))))
   3(3(1(1(2(2(4(2(1(4(3(3(4(3(1(0(0(2(1(1(x1)))))))))))))))))))) -> 2(2(2(0(3(1(1(1(4(1(0(3(1(2(1(4(1(3(1(1(x1))))))))))))))))))))
   3(3(3(4(2(3(3(0(1(3(4(4(4(0(4(2(2(4(0(2(x1)))))))))))))))))))) -> 3(4(3(4(1(3(4(2(2(2(2(0(4(1(3(3(1(1(4(4(x1))))))))))))))))))))
   3(3(4(1(1(4(4(3(1(0(1(3(0(0(3(1(3(3(2(0(x1)))))))))))))))))))) -> 2(1(4(1(1(1(4(2(4(2(4(1(3(4(2(3(3(2(2(4(x1))))))))))))))))))))
   3(4(0(0(1(2(0(4(4(4(4(4(1(2(2(4(4(0(3(0(x1)))))))))))))))))))) -> 3(2(3(4(1(1(4(3(4(4(1(1(2(2(4(4(0(0(4(0(x1))))))))))))))))))))
   3(4(0(0(4(1(4(1(1(0(1(0(1(2(1(3(2(2(3(4(x1)))))))))))))))))))) -> 1(3(4(2(1(3(0(1(4(3(1(3(4(0(4(1(2(4(0(2(x1))))))))))))))))))))
   3(4(0(3(1(3(3(3(0(1(3(2(2(3(4(2(2(4(4(2(x1)))))))))))))))))))) -> 0(3(2(1(1(1(3(2(4(0(3(0(3(3(0(2(1(2(1(2(x1))))))))))))))))))))
   3(4(1(4(3(2(2(4(1(1(4(4(2(3(0(1(1(3(0(1(x1)))))))))))))))))))) -> 4(1(4(0(1(4(1(2(2(4(2(2(1(2(2(1(1(1(3(2(x1))))))))))))))))))))
   3(4(2(1(4(1(3(4(3(4(2(0(2(2(4(3(0(1(0(1(x1)))))))))))))))))))) -> 4(2(1(4(1(2(2(2(2(2(3(1(0(1(2(4(3(1(2(4(x1))))))))))))))))))))
   3(4(2(4(2(0(3(4(2(4(3(1(4(3(4(0(4(4(3(1(x1)))))))))))))))))))) -> 3(4(1(3(2(3(3(4(4(1(1(3(1(3(3(1(1(4(1(0(x1))))))))))))))))))))
   3(4(4(0(0(0(0(3(2(2(2(1(4(4(4(1(2(4(0(3(x1)))))))))))))))))))) -> 1(1(4(0(0(2(0(1(2(2(2(2(0(1(3(1(0(2(0(0(x1))))))))))))))))))))
   4(0(0(3(3(1(0(2(2(0(4(0(4(3(0(0(2(2(1(3(x1)))))))))))))))))))) -> 0(0(3(2(1(2(3(2(4(3(1(2(0(2(2(1(1(0(3(1(x1))))))))))))))))))))
   4(0(2(1(3(3(4(4(0(0(0(3(2(3(4(4(4(3(2(3(x1)))))))))))))))))))) -> 4(0(2(1(4(0(2(0(0(4(0(4(1(0(2(3(4(4(1(2(x1))))))))))))))))))))
   4(0(2(4(2(1(4(2(4(2(4(1(2(0(1(0(3(0(3(0(x1)))))))))))))))))))) -> 0(3(1(0(4(1(4(2(3(1(4(4(1(2(0(1(0(0(0(4(x1))))))))))))))))))))
   4(0(3(0(3(1(1(2(0(4(3(0(4(3(1(0(0(4(2(4(x1)))))))))))))))))))) -> 2(4(4(4(4(2(2(2(2(4(3(2(2(3(4(1(2(0(1(3(x1))))))))))))))))))))
   4(0(4(3(0(0(2(1(2(2(0(3(0(3(1(1(1(3(3(3(x1)))))))))))))))))))) -> 4(1(2(1(1(2(2(1(1(2(0(1(0(2(4(4(1(1(1(0(x1))))))))))))))))))))
   4(1(0(2(0(3(2(1(1(3(1(1(0(1(1(2(0(0(4(4(x1)))))))))))))))))))) -> 2(1(4(2(2(2(2(2(2(2(0(1(0(3(1(0(1(1(4(0(x1))))))))))))))))))))
   4(1(1(0(3(0(1(3(0(4(4(2(1(2(4(2(0(0(3(0(x1)))))))))))))))))))) -> 2(3(2(0(1(4(4(4(3(2(3(3(1(4(3(4(2(0(1(3(x1))))))))))))))))))))
   4(1(1(1(2(2(3(3(3(4(4(0(2(0(2(1(0(1(0(0(x1)))))))))))))))))))) -> 1(1(0(3(4(0(2(3(1(4(2(4(1(0(4(0(3(1(1(4(x1))))))))))))))))))))
   4(1(2(1(0(4(3(1(3(0(2(3(3(4(3(1(0(0(0(4(x1)))))))))))))))))))) -> 3(2(0(2(2(1(2(1(1(2(3(0(1(3(3(3(2(4(1(0(x1))))))))))))))))))))
   4(1(3(2(2(4(4(2(0(0(3(2(3(1(1(3(2(3(3(1(x1)))))))))))))))))))) -> 3(2(1(2(1(3(2(1(3(2(3(2(1(1(2(1(2(3(4(3(x1))))))))))))))))))))
   4(1(3(4(1(3(0(2(4(3(4(3(3(1(0(2(0(1(2(4(x1)))))))))))))))))))) -> 2(0(4(4(1(0(2(2(1(1(4(0(4(0(1(4(0(4(4(3(x1))))))))))))))))))))
   4(1(3(4(2(3(0(4(4(3(3(1(1(3(4(1(1(3(3(0(x1)))))))))))))))))))) -> 2(4(4(4(4(2(2(4(1(0(2(2(4(0(3(2(2(2(2(2(x1))))))))))))))))))))
   4(2(1(2(1(1(2(3(4(2(3(2(1(4(2(2(4(0(3(0(x1)))))))))))))))))))) -> 3(1(0(2(1(3(1(2(1(0(2(1(1(3(1(0(4(0(3(4(x1))))))))))))))))))))
   4(3(1(3(2(2(4(0(1(0(4(0(0(2(1(0(1(4(3(0(x1)))))))))))))))))))) -> 1(3(1(1(1(1(3(4(4(1(4(4(1(4(0(4(2(4(1(3(x1))))))))))))))))))))
   4(3(2(0(1(0(2(2(3(1(4(0(0(3(4(0(0(1(1(2(x1)))))))))))))))))))) -> 3(2(0(3(0(0(4(1(1(4(2(4(1(4(3(1(3(1(4(3(x1))))))))))))))))))))
   4(3(2(3(2(2(1(2(0(3(0(0(0(1(1(3(2(4(3(4(x1)))))))))))))))))))) -> 1(3(1(4(0(2(1(0(0(1(3(4(0(3(3(4(2(1(2(1(x1))))))))))))))))))))
   4(3(3(2(2(1(3(4(4(2(4(2(3(0(0(2(2(3(2(4(x1)))))))))))))))))))) -> 3(2(2(1(1(0(2(2(4(0(0(0(2(1(3(1(0(4(3(4(x1))))))))))))))))))))
   4(3(4(3(4(4(2(0(4(4(2(0(2(0(4(4(2(2(3(3(x1)))))))))))))))))))) -> 3(4(0(1(3(0(0(4(3(1(2(2(3(1(3(4(2(2(0(3(x1))))))))))))))))))))
   4(3(4(3(4(4(3(0(3(3(2(2(3(1(3(2(2(3(4(1(x1)))))))))))))))))))) -> 4(1(0(0(4(3(4(1(2(4(3(3(2(1(3(4(1(0(3(1(x1))))))))))))))))))))
   4(3(4(4(2(2(3(2(0(4(2(4(2(2(1(4(2(3(3(0(x1)))))))))))))))))))) -> 1(2(1(2(1(1(0(4(0(1(1(4(2(1(0(4(1(0(4(3(x1))))))))))))))))))))
   4(4(0(4(4(1(0(3(3(2(0(3(0(1(3(0(3(1(3(3(x1)))))))))))))))))))) -> 2(1(0(3(1(3(1(4(3(3(0(0(1(4(4(1(2(2(3(0(x1))))))))))))))))))))
   4(4(1(1(2(0(1(0(2(2(1(0(0(1(0(0(1(1(3(2(x1)))))))))))))))))))) -> 3(1(4(1(4(4(3(1(2(3(3(2(1(3(3(1(1(3(2(4(x1))))))))))))))))))))
   4(4(3(2(1(2(0(3(0(4(0(2(1(4(4(0(2(1(3(0(x1)))))))))))))))))))) -> 4(2(4(1(4(2(2(0(1(0(3(1(3(0(1(3(3(2(1(0(x1))))))))))))))))))))
   4(4(3(4(4(2(4(1(1(0(2(3(1(0(3(1(2(2(4(0(x1)))))))))))))))))))) -> 1(2(1(1(1(2(4(1(4(3(1(4(1(4(3(2(0(4(2(2(x1))))))))))))))))))))

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

   encArg(cons_0(x_1)) -> 0(encArg(x_1))
   encArg(cons_1(x_1)) -> 1(encArg(x_1))
   encArg(cons_2(x_1)) -> 2(encArg(x_1))
   encArg(cons_3(x_1)) -> 3(encArg(x_1))
   encArg(cons_4(x_1)) -> 4(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))
   encode_3(x_1) -> 3(encArg(x_1))
   encode_4(x_1) -> 4(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(0(2(2(3(2(1(1(0(3(2(1(1(1(2(4(x1)))))))))))))))))))) -> 0(3(2(3(3(2(1(4(2(2(2(1(0(0(2(0(1(2(2(4(x1))))))))))))))))))))
   0(0(2(2(2(1(2(3(0(2(0(4(4(0(3(3(3(0(0(3(x1)))))))))))))))))))) -> 0(0(0(3(3(1(1(1(4(4(1(4(3(3(0(3(3(2(4(3(x1))))))))))))))))))))
   0(0(4(0(2(1(4(1(4(0(1(2(0(0(4(1(0(3(2(1(x1)))))))))))))))))))) -> 2(3(3(3(1(3(2(4(2(1(1(3(0(2(1(2(3(4(2(1(x1))))))))))))))))))))
   0(1(3(0(2(4(3(0(3(1(0(2(4(2(2(0(3(4(1(1(x1)))))))))))))))))))) -> 4(0(2(4(3(1(3(1(0(2(3(3(2(1(0(4(4(1(2(1(x1))))))))))))))))))))
   0(1(4(0(3(1(3(3(0(3(1(4(4(1(1(1(4(0(4(0(x1)))))))))))))))))))) -> 3(2(0(3(2(4(3(4(4(2(1(0(1(4(1(3(1(4(4(4(x1))))))))))))))))))))
   0(1(4(1(3(1(0(2(4(1(3(0(4(3(1(3(1(1(1(0(x1)))))))))))))))))))) -> 3(2(1(1(4(1(2(1(4(0(2(1(1(4(4(0(1(2(2(1(x1))))))))))))))))))))
   0(1(4(2(3(1(1(2(3(2(3(1(0(1(0(2(0(2(3(2(x1)))))))))))))))))))) -> 3(1(3(2(0(4(1(3(2(1(0(4(0(4(4(3(2(1(4(3(x1))))))))))))))))))))
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   4(3(1(3(2(2(4(0(1(0(4(0(0(2(1(0(1(4(3(0(x1)))))))))))))))))))) -> 1(3(1(1(1(1(3(4(4(1(4(4(1(4(0(4(2(4(1(3(x1))))))))))))))))))))
   4(3(2(0(1(0(2(2(3(1(4(0(0(3(4(0(0(1(1(2(x1)))))))))))))))))))) -> 3(2(0(3(0(0(4(1(1(4(2(4(1(4(3(1(3(1(4(3(x1))))))))))))))))))))
   4(3(2(3(2(2(1(2(0(3(0(0(0(1(1(3(2(4(3(4(x1)))))))))))))))))))) -> 1(3(1(4(0(2(1(0(0(1(3(4(0(3(3(4(2(1(2(1(x1))))))))))))))))))))
   4(3(3(2(2(1(3(4(4(2(4(2(3(0(0(2(2(3(2(4(x1)))))))))))))))))))) -> 3(2(2(1(1(0(2(2(4(0(0(0(2(1(3(1(0(4(3(4(x1))))))))))))))))))))
   4(3(4(3(4(4(2(0(4(4(2(0(2(0(4(4(2(2(3(3(x1)))))))))))))))))))) -> 3(4(0(1(3(0(0(4(3(1(2(2(3(1(3(4(2(2(0(3(x1))))))))))))))))))))
   4(3(4(3(4(4(3(0(3(3(2(2(3(1(3(2(2(3(4(1(x1)))))))))))))))))))) -> 4(1(0(0(4(3(4(1(2(4(3(3(2(1(3(4(1(0(3(1(x1))))))))))))))))))))
   4(3(4(4(2(2(3(2(0(4(2(4(2(2(1(4(2(3(3(0(x1)))))))))))))))))))) -> 1(2(1(2(1(1(0(4(0(1(1(4(2(1(0(4(1(0(4(3(x1))))))))))))))))))))
   4(4(0(4(4(1(0(3(3(2(0(3(0(1(3(0(3(1(3(3(x1)))))))))))))))))))) -> 2(1(0(3(1(3(1(4(3(3(0(0(1(4(4(1(2(2(3(0(x1))))))))))))))))))))
   4(4(1(1(2(0(1(0(2(2(1(0(0(1(0(0(1(1(3(2(x1)))))))))))))))))))) -> 3(1(4(1(4(4(3(1(2(3(3(2(1(3(3(1(1(3(2(4(x1))))))))))))))))))))
   4(4(3(2(1(2(0(3(0(4(0(2(1(4(4(0(2(1(3(0(x1)))))))))))))))))))) -> 4(2(4(1(4(2(2(0(1(0(3(1(3(0(1(3(3(2(1(0(x1))))))))))))))))))))
   4(4(3(4(4(2(4(1(1(0(2(3(1(0(3(1(2(2(4(0(x1)))))))))))))))))))) -> 1(2(1(1(1(2(4(1(4(3(1(4(1(4(3(2(0(4(2(2(x1))))))))))))))))))))

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

   encArg(cons_0(x_1)) -> 0(encArg(x_1))
   encArg(cons_1(x_1)) -> 1(encArg(x_1))
   encArg(cons_2(x_1)) -> 2(encArg(x_1))
   encArg(cons_3(x_1)) -> 3(encArg(x_1))
   encArg(cons_4(x_1)) -> 4(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))
   encode_3(x_1) -> 3(encArg(x_1))
   encode_4(x_1) -> 4(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(0(2(2(3(2(1(1(0(3(2(1(1(1(2(4(x1)))))))))))))))))))) -> 0(3(2(3(3(2(1(4(2(2(2(1(0(0(2(0(1(2(2(4(x1))))))))))))))))))))
   0(0(2(2(2(1(2(3(0(2(0(4(4(0(3(3(3(0(0(3(x1)))))))))))))))))))) -> 0(0(0(3(3(1(1(1(4(4(1(4(3(3(0(3(3(2(4(3(x1))))))))))))))))))))
   0(0(4(0(2(1(4(1(4(0(1(2(0(0(4(1(0(3(2(1(x1)))))))))))))))))))) -> 2(3(3(3(1(3(2(4(2(1(1(3(0(2(1(2(3(4(2(1(x1))))))))))))))))))))
   0(1(3(0(2(4(3(0(3(1(0(2(4(2(2(0(3(4(1(1(x1)))))))))))))))))))) -> 4(0(2(4(3(1(3(1(0(2(3(3(2(1(0(4(4(1(2(1(x1))))))))))))))))))))
   0(1(4(0(3(1(3(3(0(3(1(4(4(1(1(1(4(0(4(0(x1)))))))))))))))))))) -> 3(2(0(3(2(4(3(4(4(2(1(0(1(4(1(3(1(4(4(4(x1))))))))))))))))))))
   0(1(4(1(3(1(0(2(4(1(3(0(4(3(1(3(1(1(1(0(x1)))))))))))))))))))) -> 3(2(1(1(4(1(2(1(4(0(2(1(1(4(4(0(1(2(2(1(x1))))))))))))))))))))
   0(1(4(2(3(1(1(2(3(2(3(1(0(1(0(2(0(2(3(2(x1)))))))))))))))))))) -> 3(1(3(2(0(4(1(3(2(1(0(4(0(4(4(3(2(1(4(3(x1))))))))))))))))))))
   0(1(4(3(4(0(1(0(2(3(4(0(3(4(2(0(1(4(0(3(x1)))))))))))))))))))) -> 0(3(3(4(2(1(0(1(3(3(0(3(2(4(1(3(2(3(1(4(x1))))))))))))))))))))
   0(2(0(1(2(0(3(1(2(1(3(3(1(3(2(0(0(4(2(1(x1)))))))))))))))))))) -> 1(2(2(0(4(4(0(3(1(4(1(3(4(3(3(4(4(4(2(1(x1))))))))))))))))))))
   0(2(1(2(1(0(2(3(0(0(4(2(3(1(4(0(3(1(3(1(x1)))))))))))))))))))) -> 3(1(2(3(4(3(0(2(2(2(1(2(2(3(4(2(1(4(3(1(x1))))))))))))))))))))
   0(2(1(4(2(4(3(4(0(0(3(0(2(4(1(4(4(0(1(1(x1)))))))))))))))))))) -> 4(4(3(3(1(4(0(3(2(3(3(1(4(0(1(2(1(4(1(0(x1))))))))))))))))))))
   0(2(1(4(4(4(3(4(2(1(1(0(0(1(4(4(2(0(3(4(x1)))))))))))))))))))) -> 1(0(1(4(2(1(0(2(4(4(4(0(1(1(3(1(3(4(3(1(x1))))))))))))))))))))
   0(2(3(4(2(2(4(4(1(0(3(2(2(4(2(2(3(1(1(4(x1)))))))))))))))))))) -> 1(3(1(4(0(3(1(1(4(3(3(2(2(1(2(0(2(0(3(4(x1))))))))))))))))))))
   0(2(4(3(1(4(0(3(3(4(4(2(2(4(4(0(4(1(0(0(x1)))))))))))))))))))) -> 4(2(1(0(1(3(3(4(0(0(2(3(3(4(3(1(4(1(0(4(x1))))))))))))))))))))
   0(3(0(0(1(1(4(3(4(3(0(4(2(1(4(3(4(2(1(2(x1)))))))))))))))))))) -> 1(4(0(1(2(2(2(3(4(4(2(4(2(2(1(3(1(4(2(4(x1))))))))))))))))))))
   0(3(2(0(1(4(3(0(2(4(0(2(0(0(1(4(4(2(4(4(x1)))))))))))))))))))) -> 4(0(0(0(4(4(2(1(3(1(0(1(2(2(2(4(4(4(2(3(x1))))))))))))))))))))
   0(4(1(1(1(2(1(4(3(2(4(4(2(2(4(2(0(4(1(1(x1)))))))))))))))))))) -> 2(1(1(4(2(2(3(1(3(1(2(2(2(4(1(3(3(4(3(0(x1))))))))))))))))))))
   0(4(4(1(1(0(1(4(1(1(1(4(0(1(0(0(4(1(4(3(x1)))))))))))))))))))) -> 2(2(1(0(2(2(3(4(2(1(2(0(3(0(3(3(1(1(4(2(x1))))))))))))))))))))
   0(4(4(3(2(0(4(1(0(4(3(1(1(0(2(1(1(3(2(1(x1)))))))))))))))))))) -> 2(1(2(2(1(2(3(2(1(2(4(2(4(2(3(2(3(4(4(1(x1))))))))))))))))))))
   0(4(4(4(0(2(2(1(3(2(1(0(4(1(3(0(1(3(4(4(x1)))))))))))))))))))) -> 3(2(3(0(1(2(2(3(1(4(0(4(1(1(1(4(2(2(1(1(x1))))))))))))))))))))
   1(0(0(0(3(2(4(3(1(2(3(0(2(4(1(0(1(2(4(2(x1)))))))))))))))))))) -> 2(0(0(4(4(1(4(3(2(1(3(1(3(0(4(1(1(4(0(2(x1))))))))))))))))))))
   1(0(0(4(0(0(1(2(3(0(1(4(1(3(0(2(1(4(0(0(x1)))))))))))))))))))) -> 4(1(2(4(1(3(3(4(3(3(3(1(2(2(4(1(0(3(3(1(x1))))))))))))))))))))
   1(0(1(1(3(3(0(2(0(2(2(1(0(4(1(0(4(3(1(4(x1)))))))))))))))))))) -> 1(2(4(1(0(0(0(1(4(2(0(0(4(4(4(1(4(3(1(4(x1))))))))))))))))))))
   1(1(0(2(4(4(4(1(2(4(4(1(0(4(2(2(1(3(0(3(x1)))))))))))))))))))) -> 2(1(1(1(1(3(3(4(3(1(1(4(4(2(1(3(1(0(0(3(x1))))))))))))))))))))
   1(2(0(3(1(0(2(0(4(1(4(4(2(4(0(4(3(4(4(3(x1)))))))))))))))))))) -> 2(1(4(4(4(1(4(1(1(2(4(1(1(2(2(1(1(0(0(0(x1))))))))))))))))))))
   1(2(4(4(0(0(4(3(0(2(2(3(0(0(4(4(3(3(3(2(x1)))))))))))))))))))) -> 4(2(3(2(1(0(4(3(3(1(3(3(1(4(2(0(0(1(4(3(x1))))))))))))))))))))
   1(3(4(3(0(3(1(4(3(2(4(0(1(0(0(1(3(3(1(1(x1)))))))))))))))))))) -> 1(2(2(4(3(1(4(4(3(1(1(0(3(3(0(3(0(1(0(4(x1))))))))))))))))))))
   1(4(1(2(3(0(0(2(3(4(1(4(0(2(0(4(1(1(2(0(x1)))))))))))))))))))) -> 4(3(1(2(1(4(4(3(4(3(2(2(1(3(2(1(3(4(1(4(x1))))))))))))))))))))
   1(4(1(3(0(1(1(1(1(0(4(0(0(3(0(3(2(4(3(4(x1)))))))))))))))))))) -> 1(4(4(0(4(0(0(2(4(0(4(3(2(1(2(4(2(4(3(1(x1))))))))))))))))))))
   1(4(2(3(1(4(2(2(0(4(2(3(0(1(3(2(1(3(3(4(x1)))))))))))))))))))) -> 1(4(1(3(4(3(0(1(4(0(2(1(0(1(1(0(3(1(2(2(x1))))))))))))))))))))
   1(4(2(4(4(3(3(4(3(3(4(1(4(1(2(3(4(1(1(2(x1)))))))))))))))))))) -> 3(2(2(0(3(0(2(2(1(2(1(0(3(4(1(3(1(2(1(2(x1))))))))))))))))))))
   2(0(0(0(0(1(4(4(3(1(3(3(2(2(1(4(4(2(3(1(x1)))))))))))))))))))) -> 2(4(1(0(1(4(3(1(2(2(2(1(1(1(3(4(4(0(1(2(x1))))))))))))))))))))
   2(0(0(3(3(1(0(4(2(3(1(2(3(0(4(1(3(0(4(4(x1)))))))))))))))))))) -> 4(0(3(4(3(3(1(2(1(4(1(4(4(3(0(3(0(1(0(0(x1))))))))))))))))))))
   2(0(1(4(4(3(3(4(2(3(1(3(1(1(3(0(4(1(3(2(x1)))))))))))))))))))) -> 2(1(4(3(1(0(3(1(4(4(4(2(2(0(0(4(2(0(2(2(x1))))))))))))))))))))
   2(0(2(2(1(3(3(2(4(0(1(0(3(1(4(0(0(0(1(3(x1)))))))))))))))))))) -> 1(3(4(2(0(1(1(3(1(3(4(4(2(3(1(0(1(3(1(3(x1))))))))))))))))))))
   2(0(4(3(4(4(2(1(0(0(2(4(4(2(1(1(1(1(1(4(x1)))))))))))))))))))) -> 0(4(0(1(2(2(1(4(2(1(4(3(0(4(3(4(1(1(3(1(x1))))))))))))))))))))
   2(1(1(3(2(4(3(0(1(4(2(0(3(1(2(0(4(0(3(2(x1)))))))))))))))))))) -> 2(2(1(0(4(2(0(1(3(0(4(1(2(4(4(3(2(2(1(2(x1))))))))))))))))))))
   2(1(3(3(4(1(4(0(4(0(3(0(0(2(4(1(4(0(0(3(x1)))))))))))))))))))) -> 1(0(0(4(3(3(0(3(2(2(4(3(2(2(1(1(3(1(4(1(x1))))))))))))))))))))
   2(2(2(0(0(0(3(4(4(0(2(1(2(0(0(2(0(3(0(0(x1)))))))))))))))))))) -> 4(2(3(4(0(4(2(1(0(3(1(1(1(3(0(0(3(1(2(0(x1))))))))))))))))))))
   2(2(3(3(0(2(0(3(0(1(4(3(2(2(1(0(2(2(4(4(x1)))))))))))))))))))) -> 4(1(2(4(2(1(4(2(2(0(3(0(1(4(1(2(4(3(4(0(x1))))))))))))))))))))
   2(2(3(3(1(3(1(2(0(0(4(3(4(2(2(0(2(2(4(0(x1)))))))))))))))))))) -> 2(1(2(0(4(4(1(0(2(4(1(3(2(1(3(1(0(2(3(3(x1))))))))))))))))))))
   2(2(4(1(0(3(0(4(2(4(3(3(4(3(3(1(0(1(0(0(x1)))))))))))))))))))) -> 0(4(3(4(1(0(3(4(4(4(3(0(4(0(1(2(1(3(1(4(x1))))))))))))))))))))
   2(3(0(2(4(0(1(0(3(4(3(3(1(4(1(0(4(3(2(2(x1)))))))))))))))))))) -> 3(1(3(1(2(2(0(4(1(3(1(1(4(2(3(4(4(4(4(4(x1))))))))))))))))))))
   2(3(0(4(0(2(4(4(4(2(1(2(0(3(2(2(1(1(3(0(x1)))))))))))))))))))) -> 2(1(1(1(4(4(1(1(4(0(2(3(2(4(1(0(2(4(2(1(x1))))))))))))))))))))
   2(3(0(4(1(3(1(3(0(0(1(1(1(1(2(3(1(4(2(1(x1)))))))))))))))))))) -> 1(0(2(2(2(3(3(1(0(4(3(1(4(2(2(1(1(0(3(1(x1))))))))))))))))))))
   2(3(1(3(2(1(4(1(0(2(4(2(0(0(2(3(4(4(3(2(x1)))))))))))))))))))) -> 4(1(1(4(3(2(3(1(4(1(4(4(1(3(1(2(3(4(4(1(x1))))))))))))))))))))
   2(3(2(4(2(1(0(0(2(4(3(4(1(1(3(2(4(2(1(2(x1)))))))))))))))))))) -> 2(3(2(1(1(0(2(0(1(1(3(2(1(4(3(1(1(0(3(1(x1))))))))))))))))))))
   2(3(3(3(4(0(4(1(0(2(2(4(2(4(1(1(3(3(4(1(x1)))))))))))))))))))) -> 4(2(1(4(1(0(3(1(4(4(3(3(0(1(3(1(2(4(3(0(x1))))))))))))))))))))
   2(3(4(4(0(0(4(4(4(3(3(0(4(2(2(3(0(0(1(3(x1)))))))))))))))))))) -> 0(2(0(4(3(3(2(1(4(4(1(2(0(1(2(4(3(3(4(1(x1))))))))))))))))))))
   2(4(2(3(0(2(3(2(2(3(2(1(0(3(4(1(3(1(0(1(x1)))))))))))))))))))) -> 1(3(0(4(4(1(3(2(1(0(2(4(1(0(2(2(0(4(4(1(x1))))))))))))))))))))
   2(4(3(4(4(4(4(3(2(4(4(2(3(3(1(1(0(4(2(2(x1)))))))))))))))))))) -> 4(1(4(3(4(2(2(1(2(1(4(4(3(1(0(4(3(4(0(0(x1))))))))))))))))))))
   3(0(1(4(2(2(1(1(2(4(4(1(1(1(3(1(1(3(3(3(x1)))))))))))))))))))) -> 3(3(4(2(1(1(3(1(2(1(2(2(1(3(4(1(4(2(4(2(x1))))))))))))))))))))
   3(0(2(2(1(0(0(0(0(0(3(1(0(0(4(3(4(2(2(0(x1)))))))))))))))))))) -> 3(2(2(0(0(2(2(4(0(4(3(4(3(0(2(2(3(2(1(0(x1))))))))))))))))))))
   3(0(3(0(0(1(3(2(4(4(4(0(3(0(1(4(1(2(4(3(x1)))))))))))))))))))) -> 2(2(3(2(1(0(2(0(0(2(0(4(0(4(0(4(3(2(2(3(x1))))))))))))))))))))
   3(0(3(0(4(1(3(1(1(0(4(1(2(3(4(1(1(0(1(4(x1)))))))))))))))))))) -> 2(0(1(2(4(3(2(1(4(2(4(0(3(2(4(2(3(1(4(1(x1))))))))))))))))))))
   3(0(3(3(3(4(2(1(4(2(2(3(2(0(4(4(4(1(1(1(x1)))))))))))))))))))) -> 1(4(3(4(2(2(4(3(2(0(1(4(1(1(3(1(2(1(1(3(x1))))))))))))))))))))
   3(1(0(0(0(4(0(4(3(0(2(4(3(3(3(1(1(3(0(1(x1)))))))))))))))))))) -> 4(2(4(2(0(1(2(3(4(1(0(3(1(2(2(0(4(4(2(4(x1))))))))))))))))))))
   3(1(0(0(1(0(4(4(1(0(1(2(4(0(2(1(3(0(2(0(x1)))))))))))))))))))) -> 4(4(3(2(4(2(1(2(0(0(1(4(2(3(0(0(1(0(1(4(x1))))))))))))))))))))
   3(1(4(4(1(4(3(4(0(3(0(2(0(3(2(1(2(3(2(4(x1)))))))))))))))))))) -> 2(0(3(1(2(3(1(2(1(2(1(3(3(4(2(0(0(2(2(1(x1))))))))))))))))))))
   3(2(0(0(1(4(1(0(3(3(0(3(0(1(4(1(3(3(2(1(x1)))))))))))))))))))) -> 1(2(2(2(1(1(4(3(0(3(2(2(4(2(1(4(4(3(1(4(x1))))))))))))))))))))
   3(2(1(0(2(3(1(2(3(2(0(1(0(3(0(0(1(4(2(1(x1)))))))))))))))))))) -> 1(3(1(4(1(1(1(4(0(0(2(1(0(4(1(2(2(3(1(1(x1))))))))))))))))))))
   3(2(2(3(3(0(0(4(4(0(4(4(4(2(3(3(1(1(2(1(x1)))))))))))))))))))) -> 3(0(3(4(4(4(4(1(4(3(3(0(0(2(3(2(1(2(2(1(x1))))))))))))))))))))
   3(2(4(0(0(2(4(0(4(3(4(2(1(1(2(4(3(3(2(1(x1)))))))))))))))))))) -> 0(3(3(4(3(1(4(2(4(3(2(1(4(1(4(0(3(1(4(2(x1))))))))))))))))))))
   3(2(4(4(2(0(2(4(4(3(3(1(1(2(4(2(3(4(4(2(x1)))))))))))))))))))) -> 1(4(1(3(3(2(1(2(3(4(2(4(1(3(0(4(2(1(3(1(x1))))))))))))))))))))
   3(3(0(3(0(4(2(0(1(3(3(4(1(0(3(2(2(1(1(1(x1)))))))))))))))))))) -> 4(0(1(3(1(2(1(0(1(1(2(3(0(4(3(3(1(3(0(1(x1))))))))))))))))))))
   3(3(1(1(2(2(4(2(1(4(3(3(4(3(1(0(0(2(1(1(x1)))))))))))))))))))) -> 2(2(2(0(3(1(1(1(4(1(0(3(1(2(1(4(1(3(1(1(x1))))))))))))))))))))
   3(3(3(4(2(3(3(0(1(3(4(4(4(0(4(2(2(4(0(2(x1)))))))))))))))))))) -> 3(4(3(4(1(3(4(2(2(2(2(0(4(1(3(3(1(1(4(4(x1))))))))))))))))))))
   3(3(4(1(1(4(4(3(1(0(1(3(0(0(3(1(3(3(2(0(x1)))))))))))))))))))) -> 2(1(4(1(1(1(4(2(4(2(4(1(3(4(2(3(3(2(2(4(x1))))))))))))))))))))
   3(4(0(0(1(2(0(4(4(4(4(4(1(2(2(4(4(0(3(0(x1)))))))))))))))))))) -> 3(2(3(4(1(1(4(3(4(4(1(1(2(2(4(4(0(0(4(0(x1))))))))))))))))))))
   3(4(0(0(4(1(4(1(1(0(1(0(1(2(1(3(2(2(3(4(x1)))))))))))))))))))) -> 1(3(4(2(1(3(0(1(4(3(1(3(4(0(4(1(2(4(0(2(x1))))))))))))))))))))
   3(4(0(3(1(3(3(3(0(1(3(2(2(3(4(2(2(4(4(2(x1)))))))))))))))))))) -> 0(3(2(1(1(1(3(2(4(0(3(0(3(3(0(2(1(2(1(2(x1))))))))))))))))))))
   3(4(1(4(3(2(2(4(1(1(4(4(2(3(0(1(1(3(0(1(x1)))))))))))))))))))) -> 4(1(4(0(1(4(1(2(2(4(2(2(1(2(2(1(1(1(3(2(x1))))))))))))))))))))
   3(4(2(1(4(1(3(4(3(4(2(0(2(2(4(3(0(1(0(1(x1)))))))))))))))))))) -> 4(2(1(4(1(2(2(2(2(2(3(1(0(1(2(4(3(1(2(4(x1))))))))))))))))))))
   3(4(2(4(2(0(3(4(2(4(3(1(4(3(4(0(4(4(3(1(x1)))))))))))))))))))) -> 3(4(1(3(2(3(3(4(4(1(1(3(1(3(3(1(1(4(1(0(x1))))))))))))))))))))
   3(4(4(0(0(0(0(3(2(2(2(1(4(4(4(1(2(4(0(3(x1)))))))))))))))))))) -> 1(1(4(0(0(2(0(1(2(2(2(2(0(1(3(1(0(2(0(0(x1))))))))))))))))))))
   4(0(0(3(3(1(0(2(2(0(4(0(4(3(0(0(2(2(1(3(x1)))))))))))))))))))) -> 0(0(3(2(1(2(3(2(4(3(1(2(0(2(2(1(1(0(3(1(x1))))))))))))))))))))
   4(0(2(1(3(3(4(4(0(0(0(3(2(3(4(4(4(3(2(3(x1)))))))))))))))))))) -> 4(0(2(1(4(0(2(0(0(4(0(4(1(0(2(3(4(4(1(2(x1))))))))))))))))))))
   4(0(2(4(2(1(4(2(4(2(4(1(2(0(1(0(3(0(3(0(x1)))))))))))))))))))) -> 0(3(1(0(4(1(4(2(3(1(4(4(1(2(0(1(0(0(0(4(x1))))))))))))))))))))
   4(0(3(0(3(1(1(2(0(4(3(0(4(3(1(0(0(4(2(4(x1)))))))))))))))))))) -> 2(4(4(4(4(2(2(2(2(4(3(2(2(3(4(1(2(0(1(3(x1))))))))))))))))))))
   4(0(4(3(0(0(2(1(2(2(0(3(0(3(1(1(1(3(3(3(x1)))))))))))))))))))) -> 4(1(2(1(1(2(2(1(1(2(0(1(0(2(4(4(1(1(1(0(x1))))))))))))))))))))
   4(1(0(2(0(3(2(1(1(3(1(1(0(1(1(2(0(0(4(4(x1)))))))))))))))))))) -> 2(1(4(2(2(2(2(2(2(2(0(1(0(3(1(0(1(1(4(0(x1))))))))))))))))))))
   4(1(1(0(3(0(1(3(0(4(4(2(1(2(4(2(0(0(3(0(x1)))))))))))))))))))) -> 2(3(2(0(1(4(4(4(3(2(3(3(1(4(3(4(2(0(1(3(x1))))))))))))))))))))
   4(1(1(1(2(2(3(3(3(4(4(0(2(0(2(1(0(1(0(0(x1)))))))))))))))))))) -> 1(1(0(3(4(0(2(3(1(4(2(4(1(0(4(0(3(1(1(4(x1))))))))))))))))))))
   4(1(2(1(0(4(3(1(3(0(2(3(3(4(3(1(0(0(0(4(x1)))))))))))))))))))) -> 3(2(0(2(2(1(2(1(1(2(3(0(1(3(3(3(2(4(1(0(x1))))))))))))))))))))
   4(1(3(2(2(4(4(2(0(0(3(2(3(1(1(3(2(3(3(1(x1)))))))))))))))))))) -> 3(2(1(2(1(3(2(1(3(2(3(2(1(1(2(1(2(3(4(3(x1))))))))))))))))))))
   4(1(3(4(1(3(0(2(4(3(4(3(3(1(0(2(0(1(2(4(x1)))))))))))))))))))) -> 2(0(4(4(1(0(2(2(1(1(4(0(4(0(1(4(0(4(4(3(x1))))))))))))))))))))
   4(1(3(4(2(3(0(4(4(3(3(1(1(3(4(1(1(3(3(0(x1)))))))))))))))))))) -> 2(4(4(4(4(2(2(4(1(0(2(2(4(0(3(2(2(2(2(2(x1))))))))))))))))))))
   4(2(1(2(1(1(2(3(4(2(3(2(1(4(2(2(4(0(3(0(x1)))))))))))))))))))) -> 3(1(0(2(1(3(1(2(1(0(2(1(1(3(1(0(4(0(3(4(x1))))))))))))))))))))
   4(3(1(3(2(2(4(0(1(0(4(0(0(2(1(0(1(4(3(0(x1)))))))))))))))))))) -> 1(3(1(1(1(1(3(4(4(1(4(4(1(4(0(4(2(4(1(3(x1))))))))))))))))))))
   4(3(2(0(1(0(2(2(3(1(4(0(0(3(4(0(0(1(1(2(x1)))))))))))))))))))) -> 3(2(0(3(0(0(4(1(1(4(2(4(1(4(3(1(3(1(4(3(x1))))))))))))))))))))
   4(3(2(3(2(2(1(2(0(3(0(0(0(1(1(3(2(4(3(4(x1)))))))))))))))))))) -> 1(3(1(4(0(2(1(0(0(1(3(4(0(3(3(4(2(1(2(1(x1))))))))))))))))))))
   4(3(3(2(2(1(3(4(4(2(4(2(3(0(0(2(2(3(2(4(x1)))))))))))))))))))) -> 3(2(2(1(1(0(2(2(4(0(0(0(2(1(3(1(0(4(3(4(x1))))))))))))))))))))
   4(3(4(3(4(4(2(0(4(4(2(0(2(0(4(4(2(2(3(3(x1)))))))))))))))))))) -> 3(4(0(1(3(0(0(4(3(1(2(2(3(1(3(4(2(2(0(3(x1))))))))))))))))))))
   4(3(4(3(4(4(3(0(3(3(2(2(3(1(3(2(2(3(4(1(x1)))))))))))))))))))) -> 4(1(0(0(4(3(4(1(2(4(3(3(2(1(3(4(1(0(3(1(x1))))))))))))))))))))
   4(3(4(4(2(2(3(2(0(4(2(4(2(2(1(4(2(3(3(0(x1)))))))))))))))))))) -> 1(2(1(2(1(1(0(4(0(1(1(4(2(1(0(4(1(0(4(3(x1))))))))))))))))))))
   4(4(0(4(4(1(0(3(3(2(0(3(0(1(3(0(3(1(3(3(x1)))))))))))))))))))) -> 2(1(0(3(1(3(1(4(3(3(0(0(1(4(4(1(2(2(3(0(x1))))))))))))))))))))
   4(4(1(1(2(0(1(0(2(2(1(0(0(1(0(0(1(1(3(2(x1)))))))))))))))))))) -> 3(1(4(1(4(4(3(1(2(3(3(2(1(3(3(1(1(3(2(4(x1))))))))))))))))))))
   4(4(3(2(1(2(0(3(0(4(0(2(1(4(4(0(2(1(3(0(x1)))))))))))))))))))) -> 4(2(4(1(4(2(2(0(1(0(3(1(3(0(1(3(3(2(1(0(x1))))))))))))))))))))
   4(4(3(4(4(2(4(1(1(0(2(3(1(0(3(1(2(2(4(0(x1)))))))))))))))))))) -> 1(2(1(1(1(2(4(1(4(3(1(4(1(4(3(2(0(4(2(2(x1))))))))))))))))))))

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

   encArg(cons_0(x_1)) -> 0(encArg(x_1))
   encArg(cons_1(x_1)) -> 1(encArg(x_1))
   encArg(cons_2(x_1)) -> 2(encArg(x_1))
   encArg(cons_3(x_1)) -> 3(encArg(x_1))
   encArg(cons_4(x_1)) -> 4(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))
   encode_3(x_1) -> 3(encArg(x_1))
   encode_4(x_1) -> 4(encArg(x_1))

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

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

(10)
Obligation:
TRS:
Rules:
0(0(0(0(1(0(2(2(3(2(1(1(0(3(2(1(1(1(2(4(x1)))))))))))))))))))) -> 0(3(2(3(3(2(1(4(2(2(2(1(0(0(2(0(1(2(2(4(x1))))))))))))))))))))
0(0(2(2(2(1(2(3(0(2(0(4(4(0(3(3(3(0(0(3(x1)))))))))))))))))))) -> 0(0(0(3(3(1(1(1(4(4(1(4(3(3(0(3(3(2(4(3(x1))))))))))))))))))))
0(0(4(0(2(1(4(1(4(0(1(2(0(0(4(1(0(3(2(1(x1)))))))))))))))))))) -> 2(3(3(3(1(3(2(4(2(1(1(3(0(2(1(2(3(4(2(1(x1))))))))))))))))))))
0(1(3(0(2(4(3(0(3(1(0(2(4(2(2(0(3(4(1(1(x1)))))))))))))))))))) -> 4(0(2(4(3(1(3(1(0(2(3(3(2(1(0(4(4(1(2(1(x1))))))))))))))))))))
0(1(4(0(3(1(3(3(0(3(1(4(4(1(1(1(4(0(4(0(x1)))))))))))))))))))) -> 3(2(0(3(2(4(3(4(4(2(1(0(1(4(1(3(1(4(4(4(x1))))))))))))))))))))
0(1(4(1(3(1(0(2(4(1(3(0(4(3(1(3(1(1(1(0(x1)))))))))))))))))))) -> 3(2(1(1(4(1(2(1(4(0(2(1(1(4(4(0(1(2(2(1(x1))))))))))))))))))))
0(1(4(2(3(1(1(2(3(2(3(1(0(1(0(2(0(2(3(2(x1)))))))))))))))))))) -> 3(1(3(2(0(4(1(3(2(1(0(4(0(4(4(3(2(1(4(3(x1))))))))))))))))))))
0(1(4(3(4(0(1(0(2(3(4(0(3(4(2(0(1(4(0(3(x1)))))))))))))))))))) -> 0(3(3(4(2(1(0(1(3(3(0(3(2(4(1(3(2(3(1(4(x1))))))))))))))))))))
0(2(0(1(2(0(3(1(2(1(3(3(1(3(2(0(0(4(2(1(x1)))))))))))))))))))) -> 1(2(2(0(4(4(0(3(1(4(1(3(4(3(3(4(4(4(2(1(x1))))))))))))))))))))
0(2(1(2(1(0(2(3(0(0(4(2(3(1(4(0(3(1(3(1(x1)))))))))))))))))))) -> 3(1(2(3(4(3(0(2(2(2(1(2(2(3(4(2(1(4(3(1(x1))))))))))))))))))))
0(2(1(4(2(4(3(4(0(0(3(0(2(4(1(4(4(0(1(1(x1)))))))))))))))))))) -> 4(4(3(3(1(4(0(3(2(3(3(1(4(0(1(2(1(4(1(0(x1))))))))))))))))))))
0(2(1(4(4(4(3(4(2(1(1(0(0(1(4(4(2(0(3(4(x1)))))))))))))))))))) -> 1(0(1(4(2(1(0(2(4(4(4(0(1(1(3(1(3(4(3(1(x1))))))))))))))))))))
0(2(3(4(2(2(4(4(1(0(3(2(2(4(2(2(3(1(1(4(x1)))))))))))))))))))) -> 1(3(1(4(0(3(1(1(4(3(3(2(2(1(2(0(2(0(3(4(x1))))))))))))))))))))
0(2(4(3(1(4(0(3(3(4(4(2(2(4(4(0(4(1(0(0(x1)))))))))))))))))))) -> 4(2(1(0(1(3(3(4(0(0(2(3(3(4(3(1(4(1(0(4(x1))))))))))))))))))))
0(3(0(0(1(1(4(3(4(3(0(4(2(1(4(3(4(2(1(2(x1)))))))))))))))))))) -> 1(4(0(1(2(2(2(3(4(4(2(4(2(2(1(3(1(4(2(4(x1))))))))))))))))))))
0(3(2(0(1(4(3(0(2(4(0(2(0(0(1(4(4(2(4(4(x1)))))))))))))))))))) -> 4(0(0(0(4(4(2(1(3(1(0(1(2(2(2(4(4(4(2(3(x1))))))))))))))))))))
0(4(1(1(1(2(1(4(3(2(4(4(2(2(4(2(0(4(1(1(x1)))))))))))))))))))) -> 2(1(1(4(2(2(3(1(3(1(2(2(2(4(1(3(3(4(3(0(x1))))))))))))))))))))
0(4(4(1(1(0(1(4(1(1(1(4(0(1(0(0(4(1(4(3(x1)))))))))))))))))))) -> 2(2(1(0(2(2(3(4(2(1(2(0(3(0(3(3(1(1(4(2(x1))))))))))))))))))))
0(4(4(3(2(0(4(1(0(4(3(1(1(0(2(1(1(3(2(1(x1)))))))))))))))))))) -> 2(1(2(2(1(2(3(2(1(2(4(2(4(2(3(2(3(4(4(1(x1))))))))))))))))))))
0(4(4(4(0(2(2(1(3(2(1(0(4(1(3(0(1(3(4(4(x1)))))))))))))))))))) -> 3(2(3(0(1(2(2(3(1(4(0(4(1(1(1(4(2(2(1(1(x1))))))))))))))))))))
1(0(0(0(3(2(4(3(1(2(3(0(2(4(1(0(1(2(4(2(x1)))))))))))))))))))) -> 2(0(0(4(4(1(4(3(2(1(3(1(3(0(4(1(1(4(0(2(x1))))))))))))))))))))
1(0(0(4(0(0(1(2(3(0(1(4(1(3(0(2(1(4(0(0(x1)))))))))))))))))))) -> 4(1(2(4(1(3(3(4(3(3(3(1(2(2(4(1(0(3(3(1(x1))))))))))))))))))))
1(0(1(1(3(3(0(2(0(2(2(1(0(4(1(0(4(3(1(4(x1)))))))))))))))))))) -> 1(2(4(1(0(0(0(1(4(2(0(0(4(4(4(1(4(3(1(4(x1))))))))))))))))))))
1(1(0(2(4(4(4(1(2(4(4(1(0(4(2(2(1(3(0(3(x1)))))))))))))))))))) -> 2(1(1(1(1(3(3(4(3(1(1(4(4(2(1(3(1(0(0(3(x1))))))))))))))))))))
1(2(0(3(1(0(2(0(4(1(4(4(2(4(0(4(3(4(4(3(x1)))))))))))))))))))) -> 2(1(4(4(4(1(4(1(1(2(4(1(1(2(2(1(1(0(0(0(x1))))))))))))))))))))
1(2(4(4(0(0(4(3(0(2(2(3(0(0(4(4(3(3(3(2(x1)))))))))))))))))))) -> 4(2(3(2(1(0(4(3(3(1(3(3(1(4(2(0(0(1(4(3(x1))))))))))))))))))))
1(3(4(3(0(3(1(4(3(2(4(0(1(0(0(1(3(3(1(1(x1)))))))))))))))))))) -> 1(2(2(4(3(1(4(4(3(1(1(0(3(3(0(3(0(1(0(4(x1))))))))))))))))))))
1(4(1(2(3(0(0(2(3(4(1(4(0(2(0(4(1(1(2(0(x1)))))))))))))))))))) -> 4(3(1(2(1(4(4(3(4(3(2(2(1(3(2(1(3(4(1(4(x1))))))))))))))))))))
1(4(1(3(0(1(1(1(1(0(4(0(0(3(0(3(2(4(3(4(x1)))))))))))))))))))) -> 1(4(4(0(4(0(0(2(4(0(4(3(2(1(2(4(2(4(3(1(x1))))))))))))))))))))
1(4(2(3(1(4(2(2(0(4(2(3(0(1(3(2(1(3(3(4(x1)))))))))))))))))))) -> 1(4(1(3(4(3(0(1(4(0(2(1(0(1(1(0(3(1(2(2(x1))))))))))))))))))))
1(4(2(4(4(3(3(4(3(3(4(1(4(1(2(3(4(1(1(2(x1)))))))))))))))))))) -> 3(2(2(0(3(0(2(2(1(2(1(0(3(4(1(3(1(2(1(2(x1))))))))))))))))))))
2(0(0(0(0(1(4(4(3(1(3(3(2(2(1(4(4(2(3(1(x1)))))))))))))))))))) -> 2(4(1(0(1(4(3(1(2(2(2(1(1(1(3(4(4(0(1(2(x1))))))))))))))))))))
2(0(0(3(3(1(0(4(2(3(1(2(3(0(4(1(3(0(4(4(x1)))))))))))))))))))) -> 4(0(3(4(3(3(1(2(1(4(1(4(4(3(0(3(0(1(0(0(x1))))))))))))))))))))
2(0(1(4(4(3(3(4(2(3(1(3(1(1(3(0(4(1(3(2(x1)))))))))))))))))))) -> 2(1(4(3(1(0(3(1(4(4(4(2(2(0(0(4(2(0(2(2(x1))))))))))))))))))))
2(0(2(2(1(3(3(2(4(0(1(0(3(1(4(0(0(0(1(3(x1)))))))))))))))))))) -> 1(3(4(2(0(1(1(3(1(3(4(4(2(3(1(0(1(3(1(3(x1))))))))))))))))))))
2(0(4(3(4(4(2(1(0(0(2(4(4(2(1(1(1(1(1(4(x1)))))))))))))))))))) -> 0(4(0(1(2(2(1(4(2(1(4(3(0(4(3(4(1(1(3(1(x1))))))))))))))))))))
2(1(1(3(2(4(3(0(1(4(2(0(3(1(2(0(4(0(3(2(x1)))))))))))))))))))) -> 2(2(1(0(4(2(0(1(3(0(4(1(2(4(4(3(2(2(1(2(x1))))))))))))))))))))
2(1(3(3(4(1(4(0(4(0(3(0(0(2(4(1(4(0(0(3(x1)))))))))))))))))))) -> 1(0(0(4(3(3(0(3(2(2(4(3(2(2(1(1(3(1(4(1(x1))))))))))))))))))))
2(2(2(0(0(0(3(4(4(0(2(1(2(0(0(2(0(3(0(0(x1)))))))))))))))))))) -> 4(2(3(4(0(4(2(1(0(3(1(1(1(3(0(0(3(1(2(0(x1))))))))))))))))))))
2(2(3(3(0(2(0(3(0(1(4(3(2(2(1(0(2(2(4(4(x1)))))))))))))))))))) -> 4(1(2(4(2(1(4(2(2(0(3(0(1(4(1(2(4(3(4(0(x1))))))))))))))))))))
2(2(3(3(1(3(1(2(0(0(4(3(4(2(2(0(2(2(4(0(x1)))))))))))))))))))) -> 2(1(2(0(4(4(1(0(2(4(1(3(2(1(3(1(0(2(3(3(x1))))))))))))))))))))
2(2(4(1(0(3(0(4(2(4(3(3(4(3(3(1(0(1(0(0(x1)))))))))))))))))))) -> 0(4(3(4(1(0(3(4(4(4(3(0(4(0(1(2(1(3(1(4(x1))))))))))))))))))))
2(3(0(2(4(0(1(0(3(4(3(3(1(4(1(0(4(3(2(2(x1)))))))))))))))))))) -> 3(1(3(1(2(2(0(4(1(3(1(1(4(2(3(4(4(4(4(4(x1))))))))))))))))))))
2(3(0(4(0(2(4(4(4(2(1(2(0(3(2(2(1(1(3(0(x1)))))))))))))))))))) -> 2(1(1(1(4(4(1(1(4(0(2(3(2(4(1(0(2(4(2(1(x1))))))))))))))))))))
2(3(0(4(1(3(1(3(0(0(1(1(1(1(2(3(1(4(2(1(x1)))))))))))))))))))) -> 1(0(2(2(2(3(3(1(0(4(3(1(4(2(2(1(1(0(3(1(x1))))))))))))))))))))
2(3(1(3(2(1(4(1(0(2(4(2(0(0(2(3(4(4(3(2(x1)))))))))))))))))))) -> 4(1(1(4(3(2(3(1(4(1(4(4(1(3(1(2(3(4(4(1(x1))))))))))))))))))))
2(3(2(4(2(1(0(0(2(4(3(4(1(1(3(2(4(2(1(2(x1)))))))))))))))))))) -> 2(3(2(1(1(0(2(0(1(1(3(2(1(4(3(1(1(0(3(1(x1))))))))))))))))))))
2(3(3(3(4(0(4(1(0(2(2(4(2(4(1(1(3(3(4(1(x1)))))))))))))))))))) -> 4(2(1(4(1(0(3(1(4(4(3(3(0(1(3(1(2(4(3(0(x1))))))))))))))))))))
2(3(4(4(0(0(4(4(4(3(3(0(4(2(2(3(0(0(1(3(x1)))))))))))))))))))) -> 0(2(0(4(3(3(2(1(4(4(1(2(0(1(2(4(3(3(4(1(x1))))))))))))))))))))
2(4(2(3(0(2(3(2(2(3(2(1(0(3(4(1(3(1(0(1(x1)))))))))))))))))))) -> 1(3(0(4(4(1(3(2(1(0(2(4(1(0(2(2(0(4(4(1(x1))))))))))))))))))))
2(4(3(4(4(4(4(3(2(4(4(2(3(3(1(1(0(4(2(2(x1)))))))))))))))))))) -> 4(1(4(3(4(2(2(1(2(1(4(4(3(1(0(4(3(4(0(0(x1))))))))))))))))))))
3(0(1(4(2(2(1(1(2(4(4(1(1(1(3(1(1(3(3(3(x1)))))))))))))))))))) -> 3(3(4(2(1(1(3(1(2(1(2(2(1(3(4(1(4(2(4(2(x1))))))))))))))))))))
3(0(2(2(1(0(0(0(0(0(3(1(0(0(4(3(4(2(2(0(x1)))))))))))))))))))) -> 3(2(2(0(0(2(2(4(0(4(3(4(3(0(2(2(3(2(1(0(x1))))))))))))))))))))
3(0(3(0(0(1(3(2(4(4(4(0(3(0(1(4(1(2(4(3(x1)))))))))))))))))))) -> 2(2(3(2(1(0(2(0(0(2(0(4(0(4(0(4(3(2(2(3(x1))))))))))))))))))))
3(0(3(0(4(1(3(1(1(0(4(1(2(3(4(1(1(0(1(4(x1)))))))))))))))))))) -> 2(0(1(2(4(3(2(1(4(2(4(0(3(2(4(2(3(1(4(1(x1))))))))))))))))))))
3(0(3(3(3(4(2(1(4(2(2(3(2(0(4(4(4(1(1(1(x1)))))))))))))))))))) -> 1(4(3(4(2(2(4(3(2(0(1(4(1(1(3(1(2(1(1(3(x1))))))))))))))))))))
3(1(0(0(0(4(0(4(3(0(2(4(3(3(3(1(1(3(0(1(x1)))))))))))))))))))) -> 4(2(4(2(0(1(2(3(4(1(0(3(1(2(2(0(4(4(2(4(x1))))))))))))))))))))
3(1(0(0(1(0(4(4(1(0(1(2(4(0(2(1(3(0(2(0(x1)))))))))))))))))))) -> 4(4(3(2(4(2(1(2(0(0(1(4(2(3(0(0(1(0(1(4(x1))))))))))))))))))))
3(1(4(4(1(4(3(4(0(3(0(2(0(3(2(1(2(3(2(4(x1)))))))))))))))))))) -> 2(0(3(1(2(3(1(2(1(2(1(3(3(4(2(0(0(2(2(1(x1))))))))))))))))))))
3(2(0(0(1(4(1(0(3(3(0(3(0(1(4(1(3(3(2(1(x1)))))))))))))))))))) -> 1(2(2(2(1(1(4(3(0(3(2(2(4(2(1(4(4(3(1(4(x1))))))))))))))))))))
3(2(1(0(2(3(1(2(3(2(0(1(0(3(0(0(1(4(2(1(x1)))))))))))))))))))) -> 1(3(1(4(1(1(1(4(0(0(2(1(0(4(1(2(2(3(1(1(x1))))))))))))))))))))
3(2(2(3(3(0(0(4(4(0(4(4(4(2(3(3(1(1(2(1(x1)))))))))))))))))))) -> 3(0(3(4(4(4(4(1(4(3(3(0(0(2(3(2(1(2(2(1(x1))))))))))))))))))))
3(2(4(0(0(2(4(0(4(3(4(2(1(1(2(4(3(3(2(1(x1)))))))))))))))))))) -> 0(3(3(4(3(1(4(2(4(3(2(1(4(1(4(0(3(1(4(2(x1))))))))))))))))))))
3(2(4(4(2(0(2(4(4(3(3(1(1(2(4(2(3(4(4(2(x1)))))))))))))))))))) -> 1(4(1(3(3(2(1(2(3(4(2(4(1(3(0(4(2(1(3(1(x1))))))))))))))))))))
3(3(0(3(0(4(2(0(1(3(3(4(1(0(3(2(2(1(1(1(x1)))))))))))))))))))) -> 4(0(1(3(1(2(1(0(1(1(2(3(0(4(3(3(1(3(0(1(x1))))))))))))))))))))
3(3(1(1(2(2(4(2(1(4(3(3(4(3(1(0(0(2(1(1(x1)))))))))))))))))))) -> 2(2(2(0(3(1(1(1(4(1(0(3(1(2(1(4(1(3(1(1(x1))))))))))))))))))))
3(3(3(4(2(3(3(0(1(3(4(4(4(0(4(2(2(4(0(2(x1)))))))))))))))))))) -> 3(4(3(4(1(3(4(2(2(2(2(0(4(1(3(3(1(1(4(4(x1))))))))))))))))))))
3(3(4(1(1(4(4(3(1(0(1(3(0(0(3(1(3(3(2(0(x1)))))))))))))))))))) -> 2(1(4(1(1(1(4(2(4(2(4(1(3(4(2(3(3(2(2(4(x1))))))))))))))))))))
3(4(0(0(1(2(0(4(4(4(4(4(1(2(2(4(4(0(3(0(x1)))))))))))))))))))) -> 3(2(3(4(1(1(4(3(4(4(1(1(2(2(4(4(0(0(4(0(x1))))))))))))))))))))
3(4(0(0(4(1(4(1(1(0(1(0(1(2(1(3(2(2(3(4(x1)))))))))))))))))))) -> 1(3(4(2(1(3(0(1(4(3(1(3(4(0(4(1(2(4(0(2(x1))))))))))))))))))))
3(4(0(3(1(3(3(3(0(1(3(2(2(3(4(2(2(4(4(2(x1)))))))))))))))))))) -> 0(3(2(1(1(1(3(2(4(0(3(0(3(3(0(2(1(2(1(2(x1))))))))))))))))))))
3(4(1(4(3(2(2(4(1(1(4(4(2(3(0(1(1(3(0(1(x1)))))))))))))))))))) -> 4(1(4(0(1(4(1(2(2(4(2(2(1(2(2(1(1(1(3(2(x1))))))))))))))))))))
3(4(2(1(4(1(3(4(3(4(2(0(2(2(4(3(0(1(0(1(x1)))))))))))))))))))) -> 4(2(1(4(1(2(2(2(2(2(3(1(0(1(2(4(3(1(2(4(x1))))))))))))))))))))
3(4(2(4(2(0(3(4(2(4(3(1(4(3(4(0(4(4(3(1(x1)))))))))))))))))))) -> 3(4(1(3(2(3(3(4(4(1(1(3(1(3(3(1(1(4(1(0(x1))))))))))))))))))))
3(4(4(0(0(0(0(3(2(2(2(1(4(4(4(1(2(4(0(3(x1)))))))))))))))))))) -> 1(1(4(0(0(2(0(1(2(2(2(2(0(1(3(1(0(2(0(0(x1))))))))))))))))))))
4(0(0(3(3(1(0(2(2(0(4(0(4(3(0(0(2(2(1(3(x1)))))))))))))))))))) -> 0(0(3(2(1(2(3(2(4(3(1(2(0(2(2(1(1(0(3(1(x1))))))))))))))))))))
4(0(2(1(3(3(4(4(0(0(0(3(2(3(4(4(4(3(2(3(x1)))))))))))))))))))) -> 4(0(2(1(4(0(2(0(0(4(0(4(1(0(2(3(4(4(1(2(x1))))))))))))))))))))
4(0(2(4(2(1(4(2(4(2(4(1(2(0(1(0(3(0(3(0(x1)))))))))))))))))))) -> 0(3(1(0(4(1(4(2(3(1(4(4(1(2(0(1(0(0(0(4(x1))))))))))))))))))))
4(0(3(0(3(1(1(2(0(4(3(0(4(3(1(0(0(4(2(4(x1)))))))))))))))))))) -> 2(4(4(4(4(2(2(2(2(4(3(2(2(3(4(1(2(0(1(3(x1))))))))))))))))))))
4(0(4(3(0(0(2(1(2(2(0(3(0(3(1(1(1(3(3(3(x1)))))))))))))))))))) -> 4(1(2(1(1(2(2(1(1(2(0(1(0(2(4(4(1(1(1(0(x1))))))))))))))))))))
4(1(0(2(0(3(2(1(1(3(1(1(0(1(1(2(0(0(4(4(x1)))))))))))))))))))) -> 2(1(4(2(2(2(2(2(2(2(0(1(0(3(1(0(1(1(4(0(x1))))))))))))))))))))
4(1(1(0(3(0(1(3(0(4(4(2(1(2(4(2(0(0(3(0(x1)))))))))))))))))))) -> 2(3(2(0(1(4(4(4(3(2(3(3(1(4(3(4(2(0(1(3(x1))))))))))))))))))))
4(1(1(1(2(2(3(3(3(4(4(0(2(0(2(1(0(1(0(0(x1)))))))))))))))))))) -> 1(1(0(3(4(0(2(3(1(4(2(4(1(0(4(0(3(1(1(4(x1))))))))))))))))))))
4(1(2(1(0(4(3(1(3(0(2(3(3(4(3(1(0(0(0(4(x1)))))))))))))))))))) -> 3(2(0(2(2(1(2(1(1(2(3(0(1(3(3(3(2(4(1(0(x1))))))))))))))))))))
4(1(3(2(2(4(4(2(0(0(3(2(3(1(1(3(2(3(3(1(x1)))))))))))))))))))) -> 3(2(1(2(1(3(2(1(3(2(3(2(1(1(2(1(2(3(4(3(x1))))))))))))))))))))
4(1(3(4(1(3(0(2(4(3(4(3(3(1(0(2(0(1(2(4(x1)))))))))))))))))))) -> 2(0(4(4(1(0(2(2(1(1(4(0(4(0(1(4(0(4(4(3(x1))))))))))))))))))))
4(1(3(4(2(3(0(4(4(3(3(1(1(3(4(1(1(3(3(0(x1)))))))))))))))))))) -> 2(4(4(4(4(2(2(4(1(0(2(2(4(0(3(2(2(2(2(2(x1))))))))))))))))))))
4(2(1(2(1(1(2(3(4(2(3(2(1(4(2(2(4(0(3(0(x1)))))))))))))))))))) -> 3(1(0(2(1(3(1(2(1(0(2(1(1(3(1(0(4(0(3(4(x1))))))))))))))))))))
4(3(1(3(2(2(4(0(1(0(4(0(0(2(1(0(1(4(3(0(x1)))))))))))))))))))) -> 1(3(1(1(1(1(3(4(4(1(4(4(1(4(0(4(2(4(1(3(x1))))))))))))))))))))
4(3(2(0(1(0(2(2(3(1(4(0(0(3(4(0(0(1(1(2(x1)))))))))))))))))))) -> 3(2(0(3(0(0(4(1(1(4(2(4(1(4(3(1(3(1(4(3(x1))))))))))))))))))))
4(3(2(3(2(2(1(2(0(3(0(0(0(1(1(3(2(4(3(4(x1)))))))))))))))))))) -> 1(3(1(4(0(2(1(0(0(1(3(4(0(3(3(4(2(1(2(1(x1))))))))))))))))))))
4(3(3(2(2(1(3(4(4(2(4(2(3(0(0(2(2(3(2(4(x1)))))))))))))))))))) -> 3(2(2(1(1(0(2(2(4(0(0(0(2(1(3(1(0(4(3(4(x1))))))))))))))))))))
4(3(4(3(4(4(2(0(4(4(2(0(2(0(4(4(2(2(3(3(x1)))))))))))))))))))) -> 3(4(0(1(3(0(0(4(3(1(2(2(3(1(3(4(2(2(0(3(x1))))))))))))))))))))
4(3(4(3(4(4(3(0(3(3(2(2(3(1(3(2(2(3(4(1(x1)))))))))))))))))))) -> 4(1(0(0(4(3(4(1(2(4(3(3(2(1(3(4(1(0(3(1(x1))))))))))))))))))))
4(3(4(4(2(2(3(2(0(4(2(4(2(2(1(4(2(3(3(0(x1)))))))))))))))))))) -> 1(2(1(2(1(1(0(4(0(1(1(4(2(1(0(4(1(0(4(3(x1))))))))))))))))))))
4(4(0(4(4(1(0(3(3(2(0(3(0(1(3(0(3(1(3(3(x1)))))))))))))))))))) -> 2(1(0(3(1(3(1(4(3(3(0(0(1(4(4(1(2(2(3(0(x1))))))))))))))))))))
4(4(1(1(2(0(1(0(2(2(1(0(0(1(0(0(1(1(3(2(x1)))))))))))))))))))) -> 3(1(4(1(4(4(3(1(2(3(3(2(1(3(3(1(1(3(2(4(x1))))))))))))))))))))
4(4(3(2(1(2(0(3(0(4(0(2(1(4(4(0(2(1(3(0(x1)))))))))))))))))))) -> 4(2(4(1(4(2(2(0(1(0(3(1(3(0(1(3(3(2(1(0(x1))))))))))))))))))))
4(4(3(4(4(2(4(1(1(0(2(3(1(0(3(1(2(2(4(0(x1)))))))))))))))))))) -> 1(2(1(1(1(2(4(1(4(3(1(4(1(4(3(2(0(4(2(2(x1))))))))))))))))))))
encArg(cons_0(x_1)) -> 0(encArg(x_1))
encArg(cons_1(x_1)) -> 1(encArg(x_1))
encArg(cons_2(x_1)) -> 2(encArg(x_1))
encArg(cons_3(x_1)) -> 3(encArg(x_1))
encArg(cons_4(x_1)) -> 4(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))
encode_3(x_1) -> 3(encArg(x_1))
encode_4(x_1) -> 4(encArg(x_1))

Types:
0 :: 4:2:1:3:0:encArg:encode_0:encode_1:encode_2:encode_3:encode_4 -> 4:2:1:3:0:encArg:encode_0:encode_1:encode_2:encode_3:encode_4
1 :: 4:2:1:3:0:encArg:encode_0:encode_1:encode_2:encode_3:encode_4 -> 4:2:1:3:0:encArg:encode_0:encode_1:encode_2:encode_3:encode_4
2 :: 4:2:1:3:0:encArg:encode_0:encode_1:encode_2:encode_3:encode_4 -> 4:2:1:3:0:encArg:encode_0:encode_1:encode_2:encode_3:encode_4
3 :: 4:2:1:3:0:encArg:encode_0:encode_1:encode_2:encode_3:encode_4 -> 4:2:1:3:0:encArg:encode_0:encode_1:encode_2:encode_3:encode_4
4 :: 4:2:1:3:0:encArg:encode_0:encode_1:encode_2:encode_3:encode_4 -> 4:2:1:3:0:encArg:encode_0:encode_1:encode_2:encode_3:encode_4
encArg :: cons_0:cons_1:cons_2:cons_3:cons_4 -> 4:2:1:3:0:encArg:encode_0:encode_1:encode_2:encode_3:encode_4
cons_0 :: cons_0:cons_1:cons_2:cons_3:cons_4 -> cons_0:cons_1:cons_2:cons_3:cons_4
cons_1 :: cons_0:cons_1:cons_2:cons_3:cons_4 -> cons_0:cons_1:cons_2:cons_3:cons_4
cons_2 :: cons_0:cons_1:cons_2:cons_3:cons_4 -> cons_0:cons_1:cons_2:cons_3:cons_4
cons_3 :: cons_0:cons_1:cons_2:cons_3:cons_4 -> cons_0:cons_1:cons_2:cons_3:cons_4
cons_4 :: cons_0:cons_1:cons_2:cons_3:cons_4 -> cons_0:cons_1:cons_2:cons_3:cons_4
encode_0 :: cons_0:cons_1:cons_2:cons_3:cons_4 -> 4:2:1:3:0:encArg:encode_0:encode_1:encode_2:encode_3:encode_4
encode_1 :: cons_0:cons_1:cons_2:cons_3:cons_4 -> 4:2:1:3:0:encArg:encode_0:encode_1:encode_2:encode_3:encode_4
encode_2 :: cons_0:cons_1:cons_2:cons_3:cons_4 -> 4:2:1:3:0:encArg:encode_0:encode_1:encode_2:encode_3:encode_4
encode_3 :: cons_0:cons_1:cons_2:cons_3:cons_4 -> 4:2:1:3:0:encArg:encode_0:encode_1:encode_2:encode_3:encode_4
encode_4 :: cons_0:cons_1:cons_2:cons_3:cons_4 -> 4:2:1:3:0:encArg:encode_0:encode_1:encode_2:encode_3:encode_4
hole_4:2:1:3:0:encArg:encode_0:encode_1:encode_2:encode_3:encode_41_5 :: 4:2:1:3:0:encArg:encode_0:encode_1:encode_2:encode_3:encode_4
hole_cons_0:cons_1:cons_2:cons_3:cons_42_5 :: cons_0:cons_1:cons_2:cons_3:cons_4
gen_cons_0:cons_1:cons_2:cons_3:cons_43_5 :: Nat -> cons_0:cons_1:cons_2:cons_3:cons_4

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

(11) OrderProof (LOWER BOUND(ID))
Heuristically decided to analyse the following defined symbols:
0, 3, 2, 1, 4, encArg

They will be analysed ascendingly in the following order:
0 = 3
0 = 2
0 = 1
0 = 4
0 < encArg
3 = 2
3 = 1
3 = 4
3 < encArg
2 = 1
2 = 4
2 < encArg
1 = 4
1 < encArg
4 < encArg

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

(12)
Obligation:
TRS:
Rules:
0(0(0(0(1(0(2(2(3(2(1(1(0(3(2(1(1(1(2(4(x1)))))))))))))))))))) -> 0(3(2(3(3(2(1(4(2(2(2(1(0(0(2(0(1(2(2(4(x1))))))))))))))))))))
0(0(2(2(2(1(2(3(0(2(0(4(4(0(3(3(3(0(0(3(x1)))))))))))))))))))) -> 0(0(0(3(3(1(1(1(4(4(1(4(3(3(0(3(3(2(4(3(x1))))))))))))))))))))
0(0(4(0(2(1(4(1(4(0(1(2(0(0(4(1(0(3(2(1(x1)))))))))))))))))))) -> 2(3(3(3(1(3(2(4(2(1(1(3(0(2(1(2(3(4(2(1(x1))))))))))))))))))))
0(1(3(0(2(4(3(0(3(1(0(2(4(2(2(0(3(4(1(1(x1)))))))))))))))))))) -> 4(0(2(4(3(1(3(1(0(2(3(3(2(1(0(4(4(1(2(1(x1))))))))))))))))))))
0(1(4(0(3(1(3(3(0(3(1(4(4(1(1(1(4(0(4(0(x1)))))))))))))))))))) -> 3(2(0(3(2(4(3(4(4(2(1(0(1(4(1(3(1(4(4(4(x1))))))))))))))))))))
0(1(4(1(3(1(0(2(4(1(3(0(4(3(1(3(1(1(1(0(x1)))))))))))))))))))) -> 3(2(1(1(4(1(2(1(4(0(2(1(1(4(4(0(1(2(2(1(x1))))))))))))))))))))
0(1(4(2(3(1(1(2(3(2(3(1(0(1(0(2(0(2(3(2(x1)))))))))))))))))))) -> 3(1(3(2(0(4(1(3(2(1(0(4(0(4(4(3(2(1(4(3(x1))))))))))))))))))))
0(1(4(3(4(0(1(0(2(3(4(0(3(4(2(0(1(4(0(3(x1)))))))))))))))))))) -> 0(3(3(4(2(1(0(1(3(3(0(3(2(4(1(3(2(3(1(4(x1))))))))))))))))))))
0(2(0(1(2(0(3(1(2(1(3(3(1(3(2(0(0(4(2(1(x1)))))))))))))))))))) -> 1(2(2(0(4(4(0(3(1(4(1(3(4(3(3(4(4(4(2(1(x1))))))))))))))))))))
0(2(1(2(1(0(2(3(0(0(4(2(3(1(4(0(3(1(3(1(x1)))))))))))))))))))) -> 3(1(2(3(4(3(0(2(2(2(1(2(2(3(4(2(1(4(3(1(x1))))))))))))))))))))
0(2(1(4(2(4(3(4(0(0(3(0(2(4(1(4(4(0(1(1(x1)))))))))))))))))))) -> 4(4(3(3(1(4(0(3(2(3(3(1(4(0(1(2(1(4(1(0(x1))))))))))))))))))))
0(2(1(4(4(4(3(4(2(1(1(0(0(1(4(4(2(0(3(4(x1)))))))))))))))))))) -> 1(0(1(4(2(1(0(2(4(4(4(0(1(1(3(1(3(4(3(1(x1))))))))))))))))))))
0(2(3(4(2(2(4(4(1(0(3(2(2(4(2(2(3(1(1(4(x1)))))))))))))))))))) -> 1(3(1(4(0(3(1(1(4(3(3(2(2(1(2(0(2(0(3(4(x1))))))))))))))))))))
0(2(4(3(1(4(0(3(3(4(4(2(2(4(4(0(4(1(0(0(x1)))))))))))))))))))) -> 4(2(1(0(1(3(3(4(0(0(2(3(3(4(3(1(4(1(0(4(x1))))))))))))))))))))
0(3(0(0(1(1(4(3(4(3(0(4(2(1(4(3(4(2(1(2(x1)))))))))))))))))))) -> 1(4(0(1(2(2(2(3(4(4(2(4(2(2(1(3(1(4(2(4(x1))))))))))))))))))))
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4(4(0(4(4(1(0(3(3(2(0(3(0(1(3(0(3(1(3(3(x1)))))))))))))))))))) -> 2(1(0(3(1(3(1(4(3(3(0(0(1(4(4(1(2(2(3(0(x1))))))))))))))))))))
4(4(1(1(2(0(1(0(2(2(1(0(0(1(0(0(1(1(3(2(x1)))))))))))))))))))) -> 3(1(4(1(4(4(3(1(2(3(3(2(1(3(3(1(1(3(2(4(x1))))))))))))))))))))
4(4(3(2(1(2(0(3(0(4(0(2(1(4(4(0(2(1(3(0(x1)))))))))))))))))))) -> 4(2(4(1(4(2(2(0(1(0(3(1(3(0(1(3(3(2(1(0(x1))))))))))))))))))))
4(4(3(4(4(2(4(1(1(0(2(3(1(0(3(1(2(2(4(0(x1)))))))))))))))))))) -> 1(2(1(1(1(2(4(1(4(3(1(4(1(4(3(2(0(4(2(2(x1))))))))))))))))))))
encArg(cons_0(x_1)) -> 0(encArg(x_1))
encArg(cons_1(x_1)) -> 1(encArg(x_1))
encArg(cons_2(x_1)) -> 2(encArg(x_1))
encArg(cons_3(x_1)) -> 3(encArg(x_1))
encArg(cons_4(x_1)) -> 4(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))
encode_3(x_1) -> 3(encArg(x_1))
encode_4(x_1) -> 4(encArg(x_1))

Types:
0 :: 4:2:1:3:0:encArg:encode_0:encode_1:encode_2:encode_3:encode_4 -> 4:2:1:3:0:encArg:encode_0:encode_1:encode_2:encode_3:encode_4
1 :: 4:2:1:3:0:encArg:encode_0:encode_1:encode_2:encode_3:encode_4 -> 4:2:1:3:0:encArg:encode_0:encode_1:encode_2:encode_3:encode_4
2 :: 4:2:1:3:0:encArg:encode_0:encode_1:encode_2:encode_3:encode_4 -> 4:2:1:3:0:encArg:encode_0:encode_1:encode_2:encode_3:encode_4
3 :: 4:2:1:3:0:encArg:encode_0:encode_1:encode_2:encode_3:encode_4 -> 4:2:1:3:0:encArg:encode_0:encode_1:encode_2:encode_3:encode_4
4 :: 4:2:1:3:0:encArg:encode_0:encode_1:encode_2:encode_3:encode_4 -> 4:2:1:3:0:encArg:encode_0:encode_1:encode_2:encode_3:encode_4
encArg :: cons_0:cons_1:cons_2:cons_3:cons_4 -> 4:2:1:3:0:encArg:encode_0:encode_1:encode_2:encode_3:encode_4
cons_0 :: cons_0:cons_1:cons_2:cons_3:cons_4 -> cons_0:cons_1:cons_2:cons_3:cons_4
cons_1 :: cons_0:cons_1:cons_2:cons_3:cons_4 -> cons_0:cons_1:cons_2:cons_3:cons_4
cons_2 :: cons_0:cons_1:cons_2:cons_3:cons_4 -> cons_0:cons_1:cons_2:cons_3:cons_4
cons_3 :: cons_0:cons_1:cons_2:cons_3:cons_4 -> cons_0:cons_1:cons_2:cons_3:cons_4
cons_4 :: cons_0:cons_1:cons_2:cons_3:cons_4 -> cons_0:cons_1:cons_2:cons_3:cons_4
encode_0 :: cons_0:cons_1:cons_2:cons_3:cons_4 -> 4:2:1:3:0:encArg:encode_0:encode_1:encode_2:encode_3:encode_4
encode_1 :: cons_0:cons_1:cons_2:cons_3:cons_4 -> 4:2:1:3:0:encArg:encode_0:encode_1:encode_2:encode_3:encode_4
encode_2 :: cons_0:cons_1:cons_2:cons_3:cons_4 -> 4:2:1:3:0:encArg:encode_0:encode_1:encode_2:encode_3:encode_4
encode_3 :: cons_0:cons_1:cons_2:cons_3:cons_4 -> 4:2:1:3:0:encArg:encode_0:encode_1:encode_2:encode_3:encode_4
encode_4 :: cons_0:cons_1:cons_2:cons_3:cons_4 -> 4:2:1:3:0:encArg:encode_0:encode_1:encode_2:encode_3:encode_4
hole_4:2:1:3:0:encArg:encode_0:encode_1:encode_2:encode_3:encode_41_5 :: 4:2:1:3:0:encArg:encode_0:encode_1:encode_2:encode_3:encode_4
hole_cons_0:cons_1:cons_2:cons_3:cons_42_5 :: cons_0:cons_1:cons_2:cons_3:cons_4
gen_cons_0:cons_1:cons_2:cons_3:cons_43_5 :: Nat -> cons_0:cons_1:cons_2:cons_3:cons_4


Generator Equations:
gen_cons_0:cons_1:cons_2:cons_3:cons_43_5(0) <=> hole_cons_0:cons_1:cons_2:cons_3:cons_42_5
gen_cons_0:cons_1:cons_2:cons_3:cons_43_5(+(x, 1)) <=> cons_0(gen_cons_0:cons_1:cons_2:cons_3:cons_43_5(x))


The following defined symbols remain to be analysed:
3, 0, 2, 1, 4, encArg

They will be analysed ascendingly in the following order:
0 = 3
0 = 2
0 = 1
0 = 4
0 < encArg
3 = 2
3 = 1
3 = 4
3 < encArg
2 = 1
2 = 4
2 < encArg
1 = 4
1 < encArg
4 < 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(0(2(2(3(2(1(1(0(3(2(1(1(1(2(4(x1)))))))))))))))))))) -> 0(3(2(3(3(2(1(4(2(2(2(1(0(0(2(0(1(2(2(4(x1))))))))))))))))))))
   0(0(2(2(2(1(2(3(0(2(0(4(4(0(3(3(3(0(0(3(x1)))))))))))))))))))) -> 0(0(0(3(3(1(1(1(4(4(1(4(3(3(0(3(3(2(4(3(x1))))))))))))))))))))
   0(0(4(0(2(1(4(1(4(0(1(2(0(0(4(1(0(3(2(1(x1)))))))))))))))))))) -> 2(3(3(3(1(3(2(4(2(1(1(3(0(2(1(2(3(4(2(1(x1))))))))))))))))))))
   0(1(3(0(2(4(3(0(3(1(0(2(4(2(2(0(3(4(1(1(x1)))))))))))))))))))) -> 4(0(2(4(3(1(3(1(0(2(3(3(2(1(0(4(4(1(2(1(x1))))))))))))))))))))
   0(1(4(0(3(1(3(3(0(3(1(4(4(1(1(1(4(0(4(0(x1)))))))))))))))))))) -> 3(2(0(3(2(4(3(4(4(2(1(0(1(4(1(3(1(4(4(4(x1))))))))))))))))))))
   0(1(4(1(3(1(0(2(4(1(3(0(4(3(1(3(1(1(1(0(x1)))))))))))))))))))) -> 3(2(1(1(4(1(2(1(4(0(2(1(1(4(4(0(1(2(2(1(x1))))))))))))))))))))
   0(1(4(2(3(1(1(2(3(2(3(1(0(1(0(2(0(2(3(2(x1)))))))))))))))))))) -> 3(1(3(2(0(4(1(3(2(1(0(4(0(4(4(3(2(1(4(3(x1))))))))))))))))))))
   0(1(4(3(4(0(1(0(2(3(4(0(3(4(2(0(1(4(0(3(x1)))))))))))))))))))) -> 0(3(3(4(2(1(0(1(3(3(0(3(2(4(1(3(2(3(1(4(x1))))))))))))))))))))
   0(2(0(1(2(0(3(1(2(1(3(3(1(3(2(0(0(4(2(1(x1)))))))))))))))))))) -> 1(2(2(0(4(4(0(3(1(4(1(3(4(3(3(4(4(4(2(1(x1))))))))))))))))))))
   0(2(1(2(1(0(2(3(0(0(4(2(3(1(4(0(3(1(3(1(x1)))))))))))))))))))) -> 3(1(2(3(4(3(0(2(2(2(1(2(2(3(4(2(1(4(3(1(x1))))))))))))))))))))
   0(2(1(4(2(4(3(4(0(0(3(0(2(4(1(4(4(0(1(1(x1)))))))))))))))))))) -> 4(4(3(3(1(4(0(3(2(3(3(1(4(0(1(2(1(4(1(0(x1))))))))))))))))))))
   0(2(1(4(4(4(3(4(2(1(1(0(0(1(4(4(2(0(3(4(x1)))))))))))))))))))) -> 1(0(1(4(2(1(0(2(4(4(4(0(1(1(3(1(3(4(3(1(x1))))))))))))))))))))
   0(2(3(4(2(2(4(4(1(0(3(2(2(4(2(2(3(1(1(4(x1)))))))))))))))))))) -> 1(3(1(4(0(3(1(1(4(3(3(2(2(1(2(0(2(0(3(4(x1))))))))))))))))))))
   0(2(4(3(1(4(0(3(3(4(4(2(2(4(4(0(4(1(0(0(x1)))))))))))))))))))) -> 4(2(1(0(1(3(3(4(0(0(2(3(3(4(3(1(4(1(0(4(x1))))))))))))))))))))
   0(3(0(0(1(1(4(3(4(3(0(4(2(1(4(3(4(2(1(2(x1)))))))))))))))))))) -> 1(4(0(1(2(2(2(3(4(4(2(4(2(2(1(3(1(4(2(4(x1))))))))))))))))))))
   0(3(2(0(1(4(3(0(2(4(0(2(0(0(1(4(4(2(4(4(x1)))))))))))))))))))) -> 4(0(0(0(4(4(2(1(3(1(0(1(2(2(2(4(4(4(2(3(x1))))))))))))))))))))
   0(4(1(1(1(2(1(4(3(2(4(4(2(2(4(2(0(4(1(1(x1)))))))))))))))))))) -> 2(1(1(4(2(2(3(1(3(1(2(2(2(4(1(3(3(4(3(0(x1))))))))))))))))))))
   0(4(4(1(1(0(1(4(1(1(1(4(0(1(0(0(4(1(4(3(x1)))))))))))))))))))) -> 2(2(1(0(2(2(3(4(2(1(2(0(3(0(3(3(1(1(4(2(x1))))))))))))))))))))
   0(4(4(3(2(0(4(1(0(4(3(1(1(0(2(1(1(3(2(1(x1)))))))))))))))))))) -> 2(1(2(2(1(2(3(2(1(2(4(2(4(2(3(2(3(4(4(1(x1))))))))))))))))))))
   0(4(4(4(0(2(2(1(3(2(1(0(4(1(3(0(1(3(4(4(x1)))))))))))))))))))) -> 3(2(3(0(1(2(2(3(1(4(0(4(1(1(1(4(2(2(1(1(x1))))))))))))))))))))
   1(0(0(0(3(2(4(3(1(2(3(0(2(4(1(0(1(2(4(2(x1)))))))))))))))))))) -> 2(0(0(4(4(1(4(3(2(1(3(1(3(0(4(1(1(4(0(2(x1))))))))))))))))))))
   1(0(0(4(0(0(1(2(3(0(1(4(1(3(0(2(1(4(0(0(x1)))))))))))))))))))) -> 4(1(2(4(1(3(3(4(3(3(3(1(2(2(4(1(0(3(3(1(x1))))))))))))))))))))
   1(0(1(1(3(3(0(2(0(2(2(1(0(4(1(0(4(3(1(4(x1)))))))))))))))))))) -> 1(2(4(1(0(0(0(1(4(2(0(0(4(4(4(1(4(3(1(4(x1))))))))))))))))))))
   1(1(0(2(4(4(4(1(2(4(4(1(0(4(2(2(1(3(0(3(x1)))))))))))))))))))) -> 2(1(1(1(1(3(3(4(3(1(1(4(4(2(1(3(1(0(0(3(x1))))))))))))))))))))
   1(2(0(3(1(0(2(0(4(1(4(4(2(4(0(4(3(4(4(3(x1)))))))))))))))))))) -> 2(1(4(4(4(1(4(1(1(2(4(1(1(2(2(1(1(0(0(0(x1))))))))))))))))))))
   1(2(4(4(0(0(4(3(0(2(2(3(0(0(4(4(3(3(3(2(x1)))))))))))))))))))) -> 4(2(3(2(1(0(4(3(3(1(3(3(1(4(2(0(0(1(4(3(x1))))))))))))))))))))
   1(3(4(3(0(3(1(4(3(2(4(0(1(0(0(1(3(3(1(1(x1)))))))))))))))))))) -> 1(2(2(4(3(1(4(4(3(1(1(0(3(3(0(3(0(1(0(4(x1))))))))))))))))))))
   1(4(1(2(3(0(0(2(3(4(1(4(0(2(0(4(1(1(2(0(x1)))))))))))))))))))) -> 4(3(1(2(1(4(4(3(4(3(2(2(1(3(2(1(3(4(1(4(x1))))))))))))))))))))
   1(4(1(3(0(1(1(1(1(0(4(0(0(3(0(3(2(4(3(4(x1)))))))))))))))))))) -> 1(4(4(0(4(0(0(2(4(0(4(3(2(1(2(4(2(4(3(1(x1))))))))))))))))))))
   1(4(2(3(1(4(2(2(0(4(2(3(0(1(3(2(1(3(3(4(x1)))))))))))))))))))) -> 1(4(1(3(4(3(0(1(4(0(2(1(0(1(1(0(3(1(2(2(x1))))))))))))))))))))
   1(4(2(4(4(3(3(4(3(3(4(1(4(1(2(3(4(1(1(2(x1)))))))))))))))))))) -> 3(2(2(0(3(0(2(2(1(2(1(0(3(4(1(3(1(2(1(2(x1))))))))))))))))))))
   2(0(0(0(0(1(4(4(3(1(3(3(2(2(1(4(4(2(3(1(x1)))))))))))))))))))) -> 2(4(1(0(1(4(3(1(2(2(2(1(1(1(3(4(4(0(1(2(x1))))))))))))))))))))
   2(0(0(3(3(1(0(4(2(3(1(2(3(0(4(1(3(0(4(4(x1)))))))))))))))))))) -> 4(0(3(4(3(3(1(2(1(4(1(4(4(3(0(3(0(1(0(0(x1))))))))))))))))))))
   2(0(1(4(4(3(3(4(2(3(1(3(1(1(3(0(4(1(3(2(x1)))))))))))))))))))) -> 2(1(4(3(1(0(3(1(4(4(4(2(2(0(0(4(2(0(2(2(x1))))))))))))))))))))
   2(0(2(2(1(3(3(2(4(0(1(0(3(1(4(0(0(0(1(3(x1)))))))))))))))))))) -> 1(3(4(2(0(1(1(3(1(3(4(4(2(3(1(0(1(3(1(3(x1))))))))))))))))))))
   2(0(4(3(4(4(2(1(0(0(2(4(4(2(1(1(1(1(1(4(x1)))))))))))))))))))) -> 0(4(0(1(2(2(1(4(2(1(4(3(0(4(3(4(1(1(3(1(x1))))))))))))))))))))
   2(1(1(3(2(4(3(0(1(4(2(0(3(1(2(0(4(0(3(2(x1)))))))))))))))))))) -> 2(2(1(0(4(2(0(1(3(0(4(1(2(4(4(3(2(2(1(2(x1))))))))))))))))))))
   2(1(3(3(4(1(4(0(4(0(3(0(0(2(4(1(4(0(0(3(x1)))))))))))))))))))) -> 1(0(0(4(3(3(0(3(2(2(4(3(2(2(1(1(3(1(4(1(x1))))))))))))))))))))
   2(2(2(0(0(0(3(4(4(0(2(1(2(0(0(2(0(3(0(0(x1)))))))))))))))))))) -> 4(2(3(4(0(4(2(1(0(3(1(1(1(3(0(0(3(1(2(0(x1))))))))))))))))))))
   2(2(3(3(0(2(0(3(0(1(4(3(2(2(1(0(2(2(4(4(x1)))))))))))))))))))) -> 4(1(2(4(2(1(4(2(2(0(3(0(1(4(1(2(4(3(4(0(x1))))))))))))))))))))
   2(2(3(3(1(3(1(2(0(0(4(3(4(2(2(0(2(2(4(0(x1)))))))))))))))))))) -> 2(1(2(0(4(4(1(0(2(4(1(3(2(1(3(1(0(2(3(3(x1))))))))))))))))))))
   2(2(4(1(0(3(0(4(2(4(3(3(4(3(3(1(0(1(0(0(x1)))))))))))))))))))) -> 0(4(3(4(1(0(3(4(4(4(3(0(4(0(1(2(1(3(1(4(x1))))))))))))))))))))
   2(3(0(2(4(0(1(0(3(4(3(3(1(4(1(0(4(3(2(2(x1)))))))))))))))))))) -> 3(1(3(1(2(2(0(4(1(3(1(1(4(2(3(4(4(4(4(4(x1))))))))))))))))))))
   2(3(0(4(0(2(4(4(4(2(1(2(0(3(2(2(1(1(3(0(x1)))))))))))))))))))) -> 2(1(1(1(4(4(1(1(4(0(2(3(2(4(1(0(2(4(2(1(x1))))))))))))))))))))
   2(3(0(4(1(3(1(3(0(0(1(1(1(1(2(3(1(4(2(1(x1)))))))))))))))))))) -> 1(0(2(2(2(3(3(1(0(4(3(1(4(2(2(1(1(0(3(1(x1))))))))))))))))))))
   2(3(1(3(2(1(4(1(0(2(4(2(0(0(2(3(4(4(3(2(x1)))))))))))))))))))) -> 4(1(1(4(3(2(3(1(4(1(4(4(1(3(1(2(3(4(4(1(x1))))))))))))))))))))
   2(3(2(4(2(1(0(0(2(4(3(4(1(1(3(2(4(2(1(2(x1)))))))))))))))))))) -> 2(3(2(1(1(0(2(0(1(1(3(2(1(4(3(1(1(0(3(1(x1))))))))))))))))))))
   2(3(3(3(4(0(4(1(0(2(2(4(2(4(1(1(3(3(4(1(x1)))))))))))))))))))) -> 4(2(1(4(1(0(3(1(4(4(3(3(0(1(3(1(2(4(3(0(x1))))))))))))))))))))
   2(3(4(4(0(0(4(4(4(3(3(0(4(2(2(3(0(0(1(3(x1)))))))))))))))))))) -> 0(2(0(4(3(3(2(1(4(4(1(2(0(1(2(4(3(3(4(1(x1))))))))))))))))))))
   2(4(2(3(0(2(3(2(2(3(2(1(0(3(4(1(3(1(0(1(x1)))))))))))))))))))) -> 1(3(0(4(4(1(3(2(1(0(2(4(1(0(2(2(0(4(4(1(x1))))))))))))))))))))
   2(4(3(4(4(4(4(3(2(4(4(2(3(3(1(1(0(4(2(2(x1)))))))))))))))))))) -> 4(1(4(3(4(2(2(1(2(1(4(4(3(1(0(4(3(4(0(0(x1))))))))))))))))))))
   3(0(1(4(2(2(1(1(2(4(4(1(1(1(3(1(1(3(3(3(x1)))))))))))))))))))) -> 3(3(4(2(1(1(3(1(2(1(2(2(1(3(4(1(4(2(4(2(x1))))))))))))))))))))
   3(0(2(2(1(0(0(0(0(0(3(1(0(0(4(3(4(2(2(0(x1)))))))))))))))))))) -> 3(2(2(0(0(2(2(4(0(4(3(4(3(0(2(2(3(2(1(0(x1))))))))))))))))))))
   3(0(3(0(0(1(3(2(4(4(4(0(3(0(1(4(1(2(4(3(x1)))))))))))))))))))) -> 2(2(3(2(1(0(2(0(0(2(0(4(0(4(0(4(3(2(2(3(x1))))))))))))))))))))
   3(0(3(0(4(1(3(1(1(0(4(1(2(3(4(1(1(0(1(4(x1)))))))))))))))))))) -> 2(0(1(2(4(3(2(1(4(2(4(0(3(2(4(2(3(1(4(1(x1))))))))))))))))))))
   3(0(3(3(3(4(2(1(4(2(2(3(2(0(4(4(4(1(1(1(x1)))))))))))))))))))) -> 1(4(3(4(2(2(4(3(2(0(1(4(1(1(3(1(2(1(1(3(x1))))))))))))))))))))
   3(1(0(0(0(4(0(4(3(0(2(4(3(3(3(1(1(3(0(1(x1)))))))))))))))))))) -> 4(2(4(2(0(1(2(3(4(1(0(3(1(2(2(0(4(4(2(4(x1))))))))))))))))))))
   3(1(0(0(1(0(4(4(1(0(1(2(4(0(2(1(3(0(2(0(x1)))))))))))))))))))) -> 4(4(3(2(4(2(1(2(0(0(1(4(2(3(0(0(1(0(1(4(x1))))))))))))))))))))
   3(1(4(4(1(4(3(4(0(3(0(2(0(3(2(1(2(3(2(4(x1)))))))))))))))))))) -> 2(0(3(1(2(3(1(2(1(2(1(3(3(4(2(0(0(2(2(1(x1))))))))))))))))))))
   3(2(0(0(1(4(1(0(3(3(0(3(0(1(4(1(3(3(2(1(x1)))))))))))))))))))) -> 1(2(2(2(1(1(4(3(0(3(2(2(4(2(1(4(4(3(1(4(x1))))))))))))))))))))
   3(2(1(0(2(3(1(2(3(2(0(1(0(3(0(0(1(4(2(1(x1)))))))))))))))))))) -> 1(3(1(4(1(1(1(4(0(0(2(1(0(4(1(2(2(3(1(1(x1))))))))))))))))))))
   3(2(2(3(3(0(0(4(4(0(4(4(4(2(3(3(1(1(2(1(x1)))))))))))))))))))) -> 3(0(3(4(4(4(4(1(4(3(3(0(0(2(3(2(1(2(2(1(x1))))))))))))))))))))
   3(2(4(0(0(2(4(0(4(3(4(2(1(1(2(4(3(3(2(1(x1)))))))))))))))))))) -> 0(3(3(4(3(1(4(2(4(3(2(1(4(1(4(0(3(1(4(2(x1))))))))))))))))))))
   3(2(4(4(2(0(2(4(4(3(3(1(1(2(4(2(3(4(4(2(x1)))))))))))))))))))) -> 1(4(1(3(3(2(1(2(3(4(2(4(1(3(0(4(2(1(3(1(x1))))))))))))))))))))
   3(3(0(3(0(4(2(0(1(3(3(4(1(0(3(2(2(1(1(1(x1)))))))))))))))))))) -> 4(0(1(3(1(2(1(0(1(1(2(3(0(4(3(3(1(3(0(1(x1))))))))))))))))))))
   3(3(1(1(2(2(4(2(1(4(3(3(4(3(1(0(0(2(1(1(x1)))))))))))))))))))) -> 2(2(2(0(3(1(1(1(4(1(0(3(1(2(1(4(1(3(1(1(x1))))))))))))))))))))
   3(3(3(4(2(3(3(0(1(3(4(4(4(0(4(2(2(4(0(2(x1)))))))))))))))))))) -> 3(4(3(4(1(3(4(2(2(2(2(0(4(1(3(3(1(1(4(4(x1))))))))))))))))))))
   3(3(4(1(1(4(4(3(1(0(1(3(0(0(3(1(3(3(2(0(x1)))))))))))))))))))) -> 2(1(4(1(1(1(4(2(4(2(4(1(3(4(2(3(3(2(2(4(x1))))))))))))))))))))
   3(4(0(0(1(2(0(4(4(4(4(4(1(2(2(4(4(0(3(0(x1)))))))))))))))))))) -> 3(2(3(4(1(1(4(3(4(4(1(1(2(2(4(4(0(0(4(0(x1))))))))))))))))))))
   3(4(0(0(4(1(4(1(1(0(1(0(1(2(1(3(2(2(3(4(x1)))))))))))))))))))) -> 1(3(4(2(1(3(0(1(4(3(1(3(4(0(4(1(2(4(0(2(x1))))))))))))))))))))
   3(4(0(3(1(3(3(3(0(1(3(2(2(3(4(2(2(4(4(2(x1)))))))))))))))))))) -> 0(3(2(1(1(1(3(2(4(0(3(0(3(3(0(2(1(2(1(2(x1))))))))))))))))))))
   3(4(1(4(3(2(2(4(1(1(4(4(2(3(0(1(1(3(0(1(x1)))))))))))))))))))) -> 4(1(4(0(1(4(1(2(2(4(2(2(1(2(2(1(1(1(3(2(x1))))))))))))))))))))
   3(4(2(1(4(1(3(4(3(4(2(0(2(2(4(3(0(1(0(1(x1)))))))))))))))))))) -> 4(2(1(4(1(2(2(2(2(2(3(1(0(1(2(4(3(1(2(4(x1))))))))))))))))))))
   3(4(2(4(2(0(3(4(2(4(3(1(4(3(4(0(4(4(3(1(x1)))))))))))))))))))) -> 3(4(1(3(2(3(3(4(4(1(1(3(1(3(3(1(1(4(1(0(x1))))))))))))))))))))
   3(4(4(0(0(0(0(3(2(2(2(1(4(4(4(1(2(4(0(3(x1)))))))))))))))))))) -> 1(1(4(0(0(2(0(1(2(2(2(2(0(1(3(1(0(2(0(0(x1))))))))))))))))))))
   4(0(0(3(3(1(0(2(2(0(4(0(4(3(0(0(2(2(1(3(x1)))))))))))))))))))) -> 0(0(3(2(1(2(3(2(4(3(1(2(0(2(2(1(1(0(3(1(x1))))))))))))))))))))
   4(0(2(1(3(3(4(4(0(0(0(3(2(3(4(4(4(3(2(3(x1)))))))))))))))))))) -> 4(0(2(1(4(0(2(0(0(4(0(4(1(0(2(3(4(4(1(2(x1))))))))))))))))))))
   4(0(2(4(2(1(4(2(4(2(4(1(2(0(1(0(3(0(3(0(x1)))))))))))))))))))) -> 0(3(1(0(4(1(4(2(3(1(4(4(1(2(0(1(0(0(0(4(x1))))))))))))))))))))
   4(0(3(0(3(1(1(2(0(4(3(0(4(3(1(0(0(4(2(4(x1)))))))))))))))))))) -> 2(4(4(4(4(2(2(2(2(4(3(2(2(3(4(1(2(0(1(3(x1))))))))))))))))))))
   4(0(4(3(0(0(2(1(2(2(0(3(0(3(1(1(1(3(3(3(x1)))))))))))))))))))) -> 4(1(2(1(1(2(2(1(1(2(0(1(0(2(4(4(1(1(1(0(x1))))))))))))))))))))
   4(1(0(2(0(3(2(1(1(3(1(1(0(1(1(2(0(0(4(4(x1)))))))))))))))))))) -> 2(1(4(2(2(2(2(2(2(2(0(1(0(3(1(0(1(1(4(0(x1))))))))))))))))))))
   4(1(1(0(3(0(1(3(0(4(4(2(1(2(4(2(0(0(3(0(x1)))))))))))))))))))) -> 2(3(2(0(1(4(4(4(3(2(3(3(1(4(3(4(2(0(1(3(x1))))))))))))))))))))
   4(1(1(1(2(2(3(3(3(4(4(0(2(0(2(1(0(1(0(0(x1)))))))))))))))))))) -> 1(1(0(3(4(0(2(3(1(4(2(4(1(0(4(0(3(1(1(4(x1))))))))))))))))))))
   4(1(2(1(0(4(3(1(3(0(2(3(3(4(3(1(0(0(0(4(x1)))))))))))))))))))) -> 3(2(0(2(2(1(2(1(1(2(3(0(1(3(3(3(2(4(1(0(x1))))))))))))))))))))
   4(1(3(2(2(4(4(2(0(0(3(2(3(1(1(3(2(3(3(1(x1)))))))))))))))))))) -> 3(2(1(2(1(3(2(1(3(2(3(2(1(1(2(1(2(3(4(3(x1))))))))))))))))))))
   4(1(3(4(1(3(0(2(4(3(4(3(3(1(0(2(0(1(2(4(x1)))))))))))))))))))) -> 2(0(4(4(1(0(2(2(1(1(4(0(4(0(1(4(0(4(4(3(x1))))))))))))))))))))
   4(1(3(4(2(3(0(4(4(3(3(1(1(3(4(1(1(3(3(0(x1)))))))))))))))))))) -> 2(4(4(4(4(2(2(4(1(0(2(2(4(0(3(2(2(2(2(2(x1))))))))))))))))))))
   4(2(1(2(1(1(2(3(4(2(3(2(1(4(2(2(4(0(3(0(x1)))))))))))))))))))) -> 3(1(0(2(1(3(1(2(1(0(2(1(1(3(1(0(4(0(3(4(x1))))))))))))))))))))
   4(3(1(3(2(2(4(0(1(0(4(0(0(2(1(0(1(4(3(0(x1)))))))))))))))))))) -> 1(3(1(1(1(1(3(4(4(1(4(4(1(4(0(4(2(4(1(3(x1))))))))))))))))))))
   4(3(2(0(1(0(2(2(3(1(4(0(0(3(4(0(0(1(1(2(x1)))))))))))))))))))) -> 3(2(0(3(0(0(4(1(1(4(2(4(1(4(3(1(3(1(4(3(x1))))))))))))))))))))
   4(3(2(3(2(2(1(2(0(3(0(0(0(1(1(3(2(4(3(4(x1)))))))))))))))))))) -> 1(3(1(4(0(2(1(0(0(1(3(4(0(3(3(4(2(1(2(1(x1))))))))))))))))))))
   4(3(3(2(2(1(3(4(4(2(4(2(3(0(0(2(2(3(2(4(x1)))))))))))))))))))) -> 3(2(2(1(1(0(2(2(4(0(0(0(2(1(3(1(0(4(3(4(x1))))))))))))))))))))
   4(3(4(3(4(4(2(0(4(4(2(0(2(0(4(4(2(2(3(3(x1)))))))))))))))))))) -> 3(4(0(1(3(0(0(4(3(1(2(2(3(1(3(4(2(2(0(3(x1))))))))))))))))))))
   4(3(4(3(4(4(3(0(3(3(2(2(3(1(3(2(2(3(4(1(x1)))))))))))))))))))) -> 4(1(0(0(4(3(4(1(2(4(3(3(2(1(3(4(1(0(3(1(x1))))))))))))))))))))
   4(3(4(4(2(2(3(2(0(4(2(4(2(2(1(4(2(3(3(0(x1)))))))))))))))))))) -> 1(2(1(2(1(1(0(4(0(1(1(4(2(1(0(4(1(0(4(3(x1))))))))))))))))))))
   4(4(0(4(4(1(0(3(3(2(0(3(0(1(3(0(3(1(3(3(x1)))))))))))))))))))) -> 2(1(0(3(1(3(1(4(3(3(0(0(1(4(4(1(2(2(3(0(x1))))))))))))))))))))
   4(4(1(1(2(0(1(0(2(2(1(0(0(1(0(0(1(1(3(2(x1)))))))))))))))))))) -> 3(1(4(1(4(4(3(1(2(3(3(2(1(3(3(1(1(3(2(4(x1))))))))))))))))))))
   4(4(3(2(1(2(0(3(0(4(0(2(1(4(4(0(2(1(3(0(x1)))))))))))))))))))) -> 4(2(4(1(4(2(2(0(1(0(3(1(3(0(1(3(3(2(1(0(x1))))))))))))))))))))
   4(4(3(4(4(2(4(1(1(0(2(3(1(0(3(1(2(2(4(0(x1)))))))))))))))))))) -> 1(2(1(1(1(2(4(1(4(3(1(4(1(4(3(2(0(4(2(2(x1))))))))))))))))))))
   encArg(cons_0(x_1)) -> 0(encArg(x_1))
   encArg(cons_1(x_1)) -> 1(encArg(x_1))
   encArg(cons_2(x_1)) -> 2(encArg(x_1))
   encArg(cons_3(x_1)) -> 3(encArg(x_1))
   encArg(cons_4(x_1)) -> 4(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))
   encode_3(x_1) -> 3(encArg(x_1))
   encode_4(x_1) -> 4(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:

   1(c_0(c_0(c_4(c_0(c_0(c_1(c_2(c_3(c_0(c_1(c_4(c_1(c_3(c_0(c_2(c_1(c_4(c_0(c_0(x1)))))))))))))))))))) -> 4(1(2(4(1(3(3(4(3(3(3(1(2(2(4(1(0(3(3(1(x1))))))))))))))))))))
   1(c_1(c_0(c_2(c_4(c_4(c_4(c_1(c_2(c_4(c_4(c_1(c_0(c_4(c_2(c_2(c_1(c_3(c_0(c_3(x1)))))))))))))))))))) -> 2(1(1(1(1(3(3(4(3(1(1(4(4(2(1(3(1(0(0(3(x1))))))))))))))))))))
   3(c_0(c_3(c_3(c_3(c_4(c_2(c_1(c_4(c_2(c_2(c_3(c_2(c_0(c_4(c_4(c_4(c_1(c_1(c_1(x1)))))))))))))))))))) -> 1(4(3(4(2(2(4(3(2(0(1(4(1(1(3(1(2(1(1(3(x1))))))))))))))))))))
   1(c_4(c_1(c_3(c_0(c_1(c_1(c_1(c_1(c_0(c_4(c_0(c_0(c_3(c_0(c_3(c_2(c_4(c_3(c_4(x1)))))))))))))))))))) -> 1(4(4(0(4(0(0(2(4(0(4(3(2(1(2(4(2(4(3(1(x1))))))))))))))))))))
   3(c_1(c_0(c_0(c_1(c_0(c_4(c_4(c_1(c_0(c_1(c_2(c_4(c_0(c_2(c_1(c_3(c_0(c_2(c_0(x1)))))))))))))))))))) -> 4(4(3(2(4(2(1(2(0(0(1(4(2(3(0(0(1(0(1(4(x1))))))))))))))))))))
   0(c_4(c_4(c_4(c_0(c_2(c_2(c_1(c_3(c_2(c_1(c_0(c_4(c_1(c_3(c_0(c_1(c_3(c_4(c_4(x1)))))))))))))))))))) -> 3(2(3(0(1(2(2(3(1(4(0(4(1(1(1(4(2(2(1(1(x1))))))))))))))))))))
   0(c_1(c_4(c_2(c_3(c_1(c_1(c_2(c_3(c_2(c_3(c_1(c_0(c_1(c_0(c_2(c_0(c_2(c_3(c_2(x1)))))))))))))))))))) -> 3(1(3(2(0(4(1(3(2(1(0(4(0(4(4(3(2(1(4(3(x1))))))))))))))))))))
   3(c_0(c_3(c_0(c_4(c_1(c_3(c_1(c_1(c_0(c_4(c_1(c_2(c_3(c_4(c_1(c_1(c_0(c_1(c_4(x1)))))))))))))))))))) -> 2(0(1(2(4(3(2(1(4(2(4(0(3(2(4(2(3(1(4(1(x1))))))))))))))))))))
   0(c_3(c_0(c_0(c_1(c_1(c_4(c_3(c_4(c_3(c_0(c_4(c_2(c_1(c_4(c_3(c_4(c_2(c_1(c_2(x1)))))))))))))))))))) -> 1(4(0(1(2(2(2(3(4(4(2(4(2(2(1(3(1(4(2(4(x1))))))))))))))))))))
   4(c_1(c_3(c_2(c_2(c_4(c_4(c_2(c_0(c_0(c_3(c_2(c_3(c_1(c_1(c_3(c_2(c_3(c_3(c_1(x1)))))))))))))))))))) -> 3(2(1(2(1(3(2(1(3(2(3(2(1(1(2(1(2(3(4(3(x1))))))))))))))))))))
   4(c_0(c_3(c_0(c_3(c_1(c_1(c_2(c_0(c_4(c_3(c_0(c_4(c_3(c_1(c_0(c_0(c_4(c_2(c_4(x1)))))))))))))))))))) -> 2(4(4(4(4(2(2(2(2(4(3(2(2(3(4(1(2(0(1(3(x1))))))))))))))))))))
   0(c_0(c_0(c_0(c_1(c_0(c_2(c_2(c_3(c_2(c_1(c_1(c_0(c_3(c_2(c_1(c_1(c_1(c_2(c_4(x1)))))))))))))))))))) -> 0(3(2(3(3(2(1(4(2(2(2(1(0(0(2(0(1(2(2(4(x1))))))))))))))))))))
   4(c_3(c_4(c_3(c_4(c_4(c_3(c_0(c_3(c_3(c_2(c_2(c_3(c_1(c_3(c_2(c_2(c_3(c_4(c_1(x1)))))))))))))))))))) -> 4(1(0(0(4(3(4(1(2(4(3(3(2(1(3(4(1(0(3(1(x1))))))))))))))))))))
   0(c_2(c_1(c_4(c_2(c_4(c_3(c_4(c_0(c_0(c_3(c_0(c_2(c_4(c_1(c_4(c_4(c_0(c_1(c_1(x1)))))))))))))))))))) -> 4(4(3(3(1(4(0(3(2(3(3(1(4(0(1(2(1(4(1(0(x1))))))))))))))))))))
   2(c_1(c_3(c_3(c_4(c_1(c_4(c_0(c_4(c_0(c_3(c_0(c_0(c_2(c_4(c_1(c_4(c_0(c_0(c_3(x1)))))))))))))))))))) -> 1(0(0(4(3(3(0(3(2(2(4(3(2(2(1(1(3(1(4(1(x1))))))))))))))))))))
   4(c_4(c_0(c_4(c_4(c_1(c_0(c_3(c_3(c_2(c_0(c_3(c_0(c_1(c_3(c_0(c_3(c_1(c_3(c_3(x1)))))))))))))))))))) -> 2(1(0(3(1(3(1(4(3(3(0(0(1(4(4(1(2(2(3(0(x1))))))))))))))))))))
   2(c_4(c_2(c_3(c_0(c_2(c_3(c_2(c_2(c_3(c_2(c_1(c_0(c_3(c_4(c_1(c_3(c_1(c_0(c_1(x1)))))))))))))))))))) -> 1(3(0(4(4(1(3(2(1(0(2(4(1(0(2(2(0(4(4(1(x1))))))))))))))))))))
   2(c_2(c_2(c_0(c_0(c_0(c_3(c_4(c_4(c_0(c_2(c_1(c_2(c_0(c_0(c_2(c_0(c_3(c_0(c_0(x1)))))))))))))))))))) -> 4(2(3(4(0(4(2(1(0(3(1(1(1(3(0(0(3(1(2(0(x1))))))))))))))))))))
   3(c_3(c_0(c_3(c_0(c_4(c_2(c_0(c_1(c_3(c_3(c_4(c_1(c_0(c_3(c_2(c_2(c_1(c_1(c_1(x1)))))))))))))))))))) -> 4(0(1(3(1(2(1(0(1(1(2(3(0(4(3(3(1(3(0(1(x1))))))))))))))))))))
   4(c_2(c_1(c_2(c_1(c_1(c_2(c_3(c_4(c_2(c_3(c_2(c_1(c_4(c_2(c_2(c_4(c_0(c_3(c_0(x1)))))))))))))))))))) -> 3(1(0(2(1(3(1(2(1(0(2(1(1(3(1(0(4(0(3(4(x1))))))))))))))))))))
   1(c_4(c_2(c_4(c_4(c_3(c_3(c_4(c_3(c_3(c_4(c_1(c_4(c_1(c_2(c_3(c_4(c_1(c_1(c_2(x1)))))))))))))))))))) -> 3(2(2(0(3(0(2(2(1(2(1(0(3(4(1(3(1(2(1(2(x1))))))))))))))))))))
   4(c_0(c_2(c_4(c_2(c_1(c_4(c_2(c_4(c_2(c_4(c_1(c_2(c_0(c_1(c_0(c_3(c_0(c_3(c_0(x1)))))))))))))))))))) -> 0(3(1(0(4(1(4(2(3(1(4(4(1(2(0(1(0(0(0(4(x1))))))))))))))))))))
   2(c_0(c_0(c_3(c_3(c_1(c_0(c_4(c_2(c_3(c_1(c_2(c_3(c_0(c_4(c_1(c_3(c_0(c_4(c_4(x1)))))))))))))))))))) -> 4(0(3(4(3(3(1(2(1(4(1(4(4(3(0(3(0(1(0(0(x1))))))))))))))))))))
   4(c_3(c_2(c_0(c_1(c_0(c_2(c_2(c_3(c_1(c_4(c_0(c_0(c_3(c_4(c_0(c_0(c_1(c_1(c_2(x1)))))))))))))))))))) -> 3(2(0(3(0(0(4(1(1(4(2(4(1(4(3(1(3(1(4(3(x1))))))))))))))))))))
   1(c_0(c_0(c_0(c_3(c_2(c_4(c_3(c_1(c_2(c_3(c_0(c_2(c_4(c_1(c_0(c_1(c_2(c_4(c_2(x1)))))))))))))))))))) -> 2(0(0(4(4(1(4(3(2(1(3(1(3(0(4(1(1(4(0(2(x1))))))))))))))))))))
   4(c_1(c_3(c_4(c_1(c_3(c_0(c_2(c_4(c_3(c_4(c_3(c_3(c_1(c_0(c_2(c_0(c_1(c_2(c_4(x1)))))))))))))))))))) -> 2(0(4(4(1(0(2(2(1(1(4(0(4(0(1(4(0(4(4(3(x1))))))))))))))))))))
   4(c_3(c_1(c_3(c_2(c_2(c_4(c_0(c_1(c_0(c_4(c_0(c_0(c_2(c_1(c_0(c_1(c_4(c_3(c_0(x1)))))))))))))))))))) -> 1(3(1(1(1(1(3(4(4(1(4(4(1(4(0(4(2(4(1(3(x1))))))))))))))))))))
   2(c_3(c_0(c_4(c_0(c_2(c_4(c_4(c_4(c_2(c_1(c_2(c_0(c_3(c_2(c_2(c_1(c_1(c_3(c_0(x1)))))))))))))))))))) -> 2(1(1(1(4(4(1(1(4(0(2(3(2(4(1(0(2(4(2(1(x1))))))))))))))))))))
   2(c_4(c_3(c_4(c_4(c_4(c_4(c_3(c_2(c_4(c_4(c_2(c_3(c_3(c_1(c_1(c_0(c_4(c_2(c_2(x1)))))))))))))))))))) -> 4(1(4(3(4(2(2(1(2(1(4(4(3(1(0(4(3(4(0(0(x1))))))))))))))))))))
   3(c_3(c_1(c_1(c_2(c_2(c_4(c_2(c_1(c_4(c_3(c_3(c_4(c_3(c_1(c_0(c_0(c_2(c_1(c_1(x1)))))))))))))))))))) -> 2(2(2(0(3(1(1(1(4(1(0(3(1(2(1(4(1(3(1(1(x1))))))))))))))))))))
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   3(c_0(c_1(c_4(c_2(c_2(c_1(c_1(c_2(c_4(c_4(c_1(c_1(c_1(c_3(c_1(c_1(c_3(c_3(c_3(x1)))))))))))))))))))) -> 3(3(4(2(1(1(3(1(2(1(2(2(1(3(4(1(4(2(4(2(x1))))))))))))))))))))
   3(c_1(c_4(c_4(c_1(c_4(c_3(c_4(c_0(c_3(c_0(c_2(c_0(c_3(c_2(c_1(c_2(c_3(c_2(c_4(x1)))))))))))))))))))) -> 2(0(3(1(2(3(1(2(1(2(1(3(3(4(2(0(0(2(2(1(x1))))))))))))))))))))
   2(c_3(c_4(c_4(c_0(c_0(c_4(c_4(c_4(c_3(c_3(c_0(c_4(c_2(c_2(c_3(c_0(c_0(c_1(c_3(x1)))))))))))))))))))) -> 0(2(0(4(3(3(2(1(4(4(1(2(0(1(2(4(3(3(4(1(x1))))))))))))))))))))
   4(c_1(c_1(c_1(c_2(c_2(c_3(c_3(c_3(c_4(c_4(c_0(c_2(c_0(c_2(c_1(c_0(c_1(c_0(c_0(x1)))))))))))))))))))) -> 1(1(0(3(4(0(2(3(1(4(2(4(1(0(4(0(3(1(1(4(x1))))))))))))))))))))
   0(c_2(c_1(c_2(c_1(c_0(c_2(c_3(c_0(c_0(c_4(c_2(c_3(c_1(c_4(c_0(c_3(c_1(c_3(c_1(x1)))))))))))))))))))) -> 3(1(2(3(4(3(0(2(2(2(1(2(2(3(4(2(1(4(3(1(x1))))))))))))))))))))
   1(c_4(c_2(c_3(c_1(c_4(c_2(c_2(c_0(c_4(c_2(c_3(c_0(c_1(c_3(c_2(c_1(c_3(c_3(c_4(x1)))))))))))))))))))) -> 1(4(1(3(4(3(0(1(4(0(2(1(0(1(1(0(3(1(2(2(x1))))))))))))))))))))
   4(c_4(c_1(c_1(c_2(c_0(c_1(c_0(c_2(c_2(c_1(c_0(c_0(c_1(c_0(c_0(c_1(c_1(c_3(c_2(x1)))))))))))))))))))) -> 3(1(4(1(4(4(3(1(2(3(3(2(1(3(3(1(1(3(2(4(x1))))))))))))))))))))
   2(c_3(c_1(c_3(c_2(c_1(c_4(c_1(c_0(c_2(c_4(c_2(c_0(c_0(c_2(c_3(c_4(c_4(c_3(c_2(x1)))))))))))))))))))) -> 4(1(1(4(3(2(3(1(4(1(4(4(1(3(1(2(3(4(4(1(x1))))))))))))))))))))
   2(c_3(c_2(c_4(c_2(c_1(c_0(c_0(c_2(c_4(c_3(c_4(c_1(c_1(c_3(c_2(c_4(c_2(c_1(c_2(x1)))))))))))))))))))) -> 2(3(2(1(1(0(2(0(1(1(3(2(1(4(3(1(1(0(3(1(x1))))))))))))))))))))
   4(c_4(c_3(c_4(c_4(c_2(c_4(c_1(c_1(c_0(c_2(c_3(c_1(c_0(c_3(c_1(c_2(c_2(c_4(c_0(x1)))))))))))))))))))) -> 1(2(1(1(1(2(4(1(4(3(1(4(1(4(3(2(0(4(2(2(x1))))))))))))))))))))
   2(c_0(c_2(c_2(c_1(c_3(c_3(c_2(c_4(c_0(c_1(c_0(c_3(c_1(c_4(c_0(c_0(c_0(c_1(c_3(x1)))))))))))))))))))) -> 1(3(4(2(0(1(1(3(1(3(4(4(2(3(1(0(1(3(1(3(x1))))))))))))))))))))
   3(c_3(c_3(c_4(c_2(c_3(c_3(c_0(c_1(c_3(c_4(c_4(c_4(c_0(c_4(c_2(c_2(c_4(c_0(c_2(x1)))))))))))))))))))) -> 3(4(3(4(1(3(4(2(2(2(2(0(4(1(3(3(1(1(4(4(x1))))))))))))))))))))
   4(c_0(c_4(c_3(c_0(c_0(c_2(c_1(c_2(c_2(c_0(c_3(c_0(c_3(c_1(c_1(c_1(c_3(c_3(c_3(x1)))))))))))))))))))) -> 4(1(2(1(1(2(2(1(1(2(0(1(0(2(4(4(1(1(1(0(x1))))))))))))))))))))

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

   encArg(cons_0(x_1)) -> 0(encArg(x_1))
   encArg(cons_1(x_1)) -> 1(encArg(x_1))
   encArg(cons_2(x_1)) -> 2(encArg(x_1))
   encArg(cons_3(x_1)) -> 3(encArg(x_1))
   encArg(cons_4(x_1)) -> 4(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))
   encode_3(x_1) -> 3(encArg(x_1))
   encode_4(x_1) -> 4(encArg(x_1))
   0(x0) -> c_0(x0)
   1(x0) -> c_1(x0)
   2(x0) -> c_2(x0)
   3(x0) -> c_3(x0)
   4(x0) -> c_4(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:

   1(c_0(c_0(c_4(c_0(c_0(c_1(c_2(c_3(c_0(c_1(c_4(c_1(c_3(c_0(c_2(c_1(c_4(c_0(c_0(x1)))))))))))))))))))) -> 4(1(2(4(1(3(3(4(3(3(3(1(2(2(4(1(0(3(3(1(x1))))))))))))))))))))
   1(c_1(c_0(c_2(c_4(c_4(c_4(c_1(c_2(c_4(c_4(c_1(c_0(c_4(c_2(c_2(c_1(c_3(c_0(c_3(x1)))))))))))))))))))) -> 2(1(1(1(1(3(3(4(3(1(1(4(4(2(1(3(1(0(0(3(x1))))))))))))))))))))
   3(c_0(c_3(c_3(c_3(c_4(c_2(c_1(c_4(c_2(c_2(c_3(c_2(c_0(c_4(c_4(c_4(c_1(c_1(c_1(x1)))))))))))))))))))) -> 1(4(3(4(2(2(4(3(2(0(1(4(1(1(3(1(2(1(1(3(x1))))))))))))))))))))
   1(c_4(c_1(c_3(c_0(c_1(c_1(c_1(c_1(c_0(c_4(c_0(c_0(c_3(c_0(c_3(c_2(c_4(c_3(c_4(x1)))))))))))))))))))) -> 1(4(4(0(4(0(0(2(4(0(4(3(2(1(2(4(2(4(3(1(x1))))))))))))))))))))
   3(c_1(c_0(c_0(c_1(c_0(c_4(c_4(c_1(c_0(c_1(c_2(c_4(c_0(c_2(c_1(c_3(c_0(c_2(c_0(x1)))))))))))))))))))) -> 4(4(3(2(4(2(1(2(0(0(1(4(2(3(0(0(1(0(1(4(x1))))))))))))))))))))
   0(c_4(c_4(c_4(c_0(c_2(c_2(c_1(c_3(c_2(c_1(c_0(c_4(c_1(c_3(c_0(c_1(c_3(c_4(c_4(x1)))))))))))))))))))) -> 3(2(3(0(1(2(2(3(1(4(0(4(1(1(1(4(2(2(1(1(x1))))))))))))))))))))
   0(c_1(c_4(c_2(c_3(c_1(c_1(c_2(c_3(c_2(c_3(c_1(c_0(c_1(c_0(c_2(c_0(c_2(c_3(c_2(x1)))))))))))))))))))) -> 3(1(3(2(0(4(1(3(2(1(0(4(0(4(4(3(2(1(4(3(x1))))))))))))))))))))
   3(c_0(c_3(c_0(c_4(c_1(c_3(c_1(c_1(c_0(c_4(c_1(c_2(c_3(c_4(c_1(c_1(c_0(c_1(c_4(x1)))))))))))))))))))) -> 2(0(1(2(4(3(2(1(4(2(4(0(3(2(4(2(3(1(4(1(x1))))))))))))))))))))
   0(c_3(c_0(c_0(c_1(c_1(c_4(c_3(c_4(c_3(c_0(c_4(c_2(c_1(c_4(c_3(c_4(c_2(c_1(c_2(x1)))))))))))))))))))) -> 1(4(0(1(2(2(2(3(4(4(2(4(2(2(1(3(1(4(2(4(x1))))))))))))))))))))
   4(c_1(c_3(c_2(c_2(c_4(c_4(c_2(c_0(c_0(c_3(c_2(c_3(c_1(c_1(c_3(c_2(c_3(c_3(c_1(x1)))))))))))))))))))) -> 3(2(1(2(1(3(2(1(3(2(3(2(1(1(2(1(2(3(4(3(x1))))))))))))))))))))
   4(c_0(c_3(c_0(c_3(c_1(c_1(c_2(c_0(c_4(c_3(c_0(c_4(c_3(c_1(c_0(c_0(c_4(c_2(c_4(x1)))))))))))))))))))) -> 2(4(4(4(4(2(2(2(2(4(3(2(2(3(4(1(2(0(1(3(x1))))))))))))))))))))
   0(c_0(c_0(c_0(c_1(c_0(c_2(c_2(c_3(c_2(c_1(c_1(c_0(c_3(c_2(c_1(c_1(c_1(c_2(c_4(x1)))))))))))))))))))) -> 0(3(2(3(3(2(1(4(2(2(2(1(0(0(2(0(1(2(2(4(x1))))))))))))))))))))
   4(c_3(c_4(c_3(c_4(c_4(c_3(c_0(c_3(c_3(c_2(c_2(c_3(c_1(c_3(c_2(c_2(c_3(c_4(c_1(x1)))))))))))))))))))) -> 4(1(0(0(4(3(4(1(2(4(3(3(2(1(3(4(1(0(3(1(x1))))))))))))))))))))
   0(c_2(c_1(c_4(c_2(c_4(c_3(c_4(c_0(c_0(c_3(c_0(c_2(c_4(c_1(c_4(c_4(c_0(c_1(c_1(x1)))))))))))))))))))) -> 4(4(3(3(1(4(0(3(2(3(3(1(4(0(1(2(1(4(1(0(x1))))))))))))))))))))
   2(c_1(c_3(c_3(c_4(c_1(c_4(c_0(c_4(c_0(c_3(c_0(c_0(c_2(c_4(c_1(c_4(c_0(c_0(c_3(x1)))))))))))))))))))) -> 1(0(0(4(3(3(0(3(2(2(4(3(2(2(1(1(3(1(4(1(x1))))))))))))))))))))
   4(c_4(c_0(c_4(c_4(c_1(c_0(c_3(c_3(c_2(c_0(c_3(c_0(c_1(c_3(c_0(c_3(c_1(c_3(c_3(x1)))))))))))))))))))) -> 2(1(0(3(1(3(1(4(3(3(0(0(1(4(4(1(2(2(3(0(x1))))))))))))))))))))
   2(c_4(c_2(c_3(c_0(c_2(c_3(c_2(c_2(c_3(c_2(c_1(c_0(c_3(c_4(c_1(c_3(c_1(c_0(c_1(x1)))))))))))))))))))) -> 1(3(0(4(4(1(3(2(1(0(2(4(1(0(2(2(0(4(4(1(x1))))))))))))))))))))
   2(c_2(c_2(c_0(c_0(c_0(c_3(c_4(c_4(c_0(c_2(c_1(c_2(c_0(c_0(c_2(c_0(c_3(c_0(c_0(x1)))))))))))))))))))) -> 4(2(3(4(0(4(2(1(0(3(1(1(1(3(0(0(3(1(2(0(x1))))))))))))))))))))
   3(c_3(c_0(c_3(c_0(c_4(c_2(c_0(c_1(c_3(c_3(c_4(c_1(c_0(c_3(c_2(c_2(c_1(c_1(c_1(x1)))))))))))))))))))) -> 4(0(1(3(1(2(1(0(1(1(2(3(0(4(3(3(1(3(0(1(x1))))))))))))))))))))
   4(c_2(c_1(c_2(c_1(c_1(c_2(c_3(c_4(c_2(c_3(c_2(c_1(c_4(c_2(c_2(c_4(c_0(c_3(c_0(x1)))))))))))))))))))) -> 3(1(0(2(1(3(1(2(1(0(2(1(1(3(1(0(4(0(3(4(x1))))))))))))))))))))
   1(c_4(c_2(c_4(c_4(c_3(c_3(c_4(c_3(c_3(c_4(c_1(c_4(c_1(c_2(c_3(c_4(c_1(c_1(c_2(x1)))))))))))))))))))) -> 3(2(2(0(3(0(2(2(1(2(1(0(3(4(1(3(1(2(1(2(x1))))))))))))))))))))
   4(c_0(c_2(c_4(c_2(c_1(c_4(c_2(c_4(c_2(c_4(c_1(c_2(c_0(c_1(c_0(c_3(c_0(c_3(c_0(x1)))))))))))))))))))) -> 0(3(1(0(4(1(4(2(3(1(4(4(1(2(0(1(0(0(0(4(x1))))))))))))))))))))
   2(c_0(c_0(c_3(c_3(c_1(c_0(c_4(c_2(c_3(c_1(c_2(c_3(c_0(c_4(c_1(c_3(c_0(c_4(c_4(x1)))))))))))))))))))) -> 4(0(3(4(3(3(1(2(1(4(1(4(4(3(0(3(0(1(0(0(x1))))))))))))))))))))
   4(c_3(c_2(c_0(c_1(c_0(c_2(c_2(c_3(c_1(c_4(c_0(c_0(c_3(c_4(c_0(c_0(c_1(c_1(c_2(x1)))))))))))))))))))) -> 3(2(0(3(0(0(4(1(1(4(2(4(1(4(3(1(3(1(4(3(x1))))))))))))))))))))
   1(c_0(c_0(c_0(c_3(c_2(c_4(c_3(c_1(c_2(c_3(c_0(c_2(c_4(c_1(c_0(c_1(c_2(c_4(c_2(x1)))))))))))))))))))) -> 2(0(0(4(4(1(4(3(2(1(3(1(3(0(4(1(1(4(0(2(x1))))))))))))))))))))
   4(c_1(c_3(c_4(c_1(c_3(c_0(c_2(c_4(c_3(c_4(c_3(c_3(c_1(c_0(c_2(c_0(c_1(c_2(c_4(x1)))))))))))))))))))) -> 2(0(4(4(1(0(2(2(1(1(4(0(4(0(1(4(0(4(4(3(x1))))))))))))))))))))
   4(c_3(c_1(c_3(c_2(c_2(c_4(c_0(c_1(c_0(c_4(c_0(c_0(c_2(c_1(c_0(c_1(c_4(c_3(c_0(x1)))))))))))))))))))) -> 1(3(1(1(1(1(3(4(4(1(4(4(1(4(0(4(2(4(1(3(x1))))))))))))))))))))
   2(c_3(c_0(c_4(c_0(c_2(c_4(c_4(c_4(c_2(c_1(c_2(c_0(c_3(c_2(c_2(c_1(c_1(c_3(c_0(x1)))))))))))))))))))) -> 2(1(1(1(4(4(1(1(4(0(2(3(2(4(1(0(2(4(2(1(x1))))))))))))))))))))
   2(c_4(c_3(c_4(c_4(c_4(c_4(c_3(c_2(c_4(c_4(c_2(c_3(c_3(c_1(c_1(c_0(c_4(c_2(c_2(x1)))))))))))))))))))) -> 4(1(4(3(4(2(2(1(2(1(4(4(3(1(0(4(3(4(0(0(x1))))))))))))))))))))
   3(c_3(c_1(c_1(c_2(c_2(c_4(c_2(c_1(c_4(c_3(c_3(c_4(c_3(c_1(c_0(c_0(c_2(c_1(c_1(x1)))))))))))))))))))) -> 2(2(2(0(3(1(1(1(4(1(0(3(1(2(1(4(1(3(1(1(x1))))))))))))))))))))
   3(c_2(c_0(c_0(c_1(c_4(c_1(c_0(c_3(c_3(c_0(c_3(c_0(c_1(c_4(c_1(c_3(c_3(c_2(c_1(x1)))))))))))))))))))) -> 1(2(2(2(1(1(4(3(0(3(2(2(4(2(1(4(4(3(1(4(x1))))))))))))))))))))
   0(c_0(c_4(c_0(c_2(c_1(c_4(c_1(c_4(c_0(c_1(c_2(c_0(c_0(c_4(c_1(c_0(c_3(c_2(c_1(x1)))))))))))))))))))) -> 2(3(3(3(1(3(2(4(2(1(1(3(0(2(1(2(3(4(2(1(x1))))))))))))))))))))
   3(c_3(c_4(c_1(c_1(c_4(c_4(c_3(c_1(c_0(c_1(c_3(c_0(c_0(c_3(c_1(c_3(c_3(c_2(c_0(x1)))))))))))))))))))) -> 2(1(4(1(1(1(4(2(4(2(4(1(3(4(2(3(3(2(2(4(x1))))))))))))))))))))
   0(c_1(c_4(c_3(c_4(c_0(c_1(c_0(c_2(c_3(c_4(c_0(c_3(c_4(c_2(c_0(c_1(c_4(c_0(c_3(x1)))))))))))))))))))) -> 0(3(3(4(2(1(0(1(3(3(0(3(2(4(1(3(2(3(1(4(x1))))))))))))))))))))
   2(c_2(c_3(c_3(c_0(c_2(c_0(c_3(c_0(c_1(c_4(c_3(c_2(c_2(c_1(c_0(c_2(c_2(c_4(c_4(x1)))))))))))))))))))) -> 4(1(2(4(2(1(4(2(2(0(3(0(1(4(1(2(4(3(4(0(x1))))))))))))))))))))
   4(c_1(c_3(c_4(c_2(c_3(c_0(c_4(c_4(c_3(c_3(c_1(c_1(c_3(c_4(c_1(c_1(c_3(c_3(c_0(x1)))))))))))))))))))) -> 2(4(4(4(4(2(2(4(1(0(2(2(4(0(3(2(2(2(2(2(x1))))))))))))))))))))
   1(c_4(c_1(c_2(c_3(c_0(c_0(c_2(c_3(c_4(c_1(c_4(c_0(c_2(c_0(c_4(c_1(c_1(c_2(c_0(x1)))))))))))))))))))) -> 4(3(1(2(1(4(4(3(4(3(2(2(1(3(2(1(3(4(1(4(x1))))))))))))))))))))
   2(c_3(c_0(c_4(c_1(c_3(c_1(c_3(c_0(c_0(c_1(c_1(c_1(c_1(c_2(c_3(c_1(c_4(c_2(c_1(x1)))))))))))))))))))) -> 1(0(2(2(2(3(3(1(0(4(3(1(4(2(2(1(1(0(3(1(x1))))))))))))))))))))
   0(c_0(c_2(c_2(c_2(c_1(c_2(c_3(c_0(c_2(c_0(c_4(c_4(c_0(c_3(c_3(c_3(c_0(c_0(c_3(x1)))))))))))))))))))) -> 0(0(0(3(3(1(1(1(4(4(1(4(3(3(0(3(3(2(4(3(x1))))))))))))))))))))
   4(c_3(c_4(c_4(c_2(c_2(c_3(c_2(c_0(c_4(c_2(c_4(c_2(c_2(c_1(c_4(c_2(c_3(c_3(c_0(x1)))))))))))))))))))) -> 1(2(1(2(1(1(0(4(0(1(1(4(2(1(0(4(1(0(4(3(x1))))))))))))))))))))
   4(c_4(c_3(c_2(c_1(c_2(c_0(c_3(c_0(c_4(c_0(c_2(c_1(c_4(c_4(c_0(c_2(c_1(c_3(c_0(x1)))))))))))))))))))) -> 4(2(4(1(4(2(2(0(1(0(3(1(3(0(1(3(3(2(1(0(x1))))))))))))))))))))
   3(c_4(c_1(c_4(c_3(c_2(c_2(c_4(c_1(c_1(c_4(c_4(c_2(c_3(c_0(c_1(c_1(c_3(c_0(c_1(x1)))))))))))))))))))) -> 4(1(4(0(1(4(1(2(2(4(2(2(1(2(2(1(1(1(3(2(x1))))))))))))))))))))
   3(c_4(c_2(c_4(c_2(c_0(c_3(c_4(c_2(c_4(c_3(c_1(c_4(c_3(c_4(c_0(c_4(c_4(c_3(c_1(x1)))))))))))))))))))) -> 3(4(1(3(2(3(3(4(4(1(1(3(1(3(3(1(1(4(1(0(x1))))))))))))))))))))
   3(c_2(c_1(c_0(c_2(c_3(c_1(c_2(c_3(c_2(c_0(c_1(c_0(c_3(c_0(c_0(c_1(c_4(c_2(c_1(x1)))))))))))))))))))) -> 1(3(1(4(1(1(1(4(0(0(2(1(0(4(1(2(2(3(1(1(x1))))))))))))))))))))
   4(c_1(c_2(c_1(c_0(c_4(c_3(c_1(c_3(c_0(c_2(c_3(c_3(c_4(c_3(c_1(c_0(c_0(c_0(c_4(x1)))))))))))))))))))) -> 3(2(0(2(2(1(2(1(1(2(3(0(1(3(3(3(2(4(1(0(x1))))))))))))))))))))
   0(c_4(c_4(c_1(c_1(c_0(c_1(c_4(c_1(c_1(c_1(c_4(c_0(c_1(c_0(c_0(c_4(c_1(c_4(c_3(x1)))))))))))))))))))) -> 2(2(1(0(2(2(3(4(2(1(2(0(3(0(3(3(1(1(4(2(x1))))))))))))))))))))
   0(c_2(c_0(c_1(c_2(c_0(c_3(c_1(c_2(c_1(c_3(c_3(c_1(c_3(c_2(c_0(c_0(c_4(c_2(c_1(x1)))))))))))))))))))) -> 1(2(2(0(4(4(0(3(1(4(1(3(4(3(3(4(4(4(2(1(x1))))))))))))))))))))
   3(c_1(c_0(c_0(c_0(c_4(c_0(c_4(c_3(c_0(c_2(c_4(c_3(c_3(c_3(c_1(c_1(c_3(c_0(c_1(x1)))))))))))))))))))) -> 4(2(4(2(0(1(2(3(4(1(0(3(1(2(2(0(4(4(2(4(x1))))))))))))))))))))
   2(c_0(c_0(c_0(c_0(c_1(c_4(c_4(c_3(c_1(c_3(c_3(c_2(c_2(c_1(c_4(c_4(c_2(c_3(c_1(x1)))))))))))))))))))) -> 2(4(1(0(1(4(3(1(2(2(2(1(1(1(3(4(4(0(1(2(x1))))))))))))))))))))
   0(c_3(c_2(c_0(c_1(c_4(c_3(c_0(c_2(c_4(c_0(c_2(c_0(c_0(c_1(c_4(c_4(c_2(c_4(c_4(x1)))))))))))))))))))) -> 4(0(0(0(4(4(2(1(3(1(0(1(2(2(2(4(4(4(2(3(x1))))))))))))))))))))
   2(c_3(c_0(c_2(c_4(c_0(c_1(c_0(c_3(c_4(c_3(c_3(c_1(c_4(c_1(c_0(c_4(c_3(c_2(c_2(x1)))))))))))))))))))) -> 3(1(3(1(2(2(0(4(1(3(1(1(4(2(3(4(4(4(4(4(x1))))))))))))))))))))
   0(c_2(c_1(c_4(c_4(c_4(c_3(c_4(c_2(c_1(c_1(c_0(c_0(c_1(c_4(c_4(c_2(c_0(c_3(c_4(x1)))))))))))))))))))) -> 1(0(1(4(2(1(0(2(4(4(4(0(1(1(3(1(3(4(3(1(x1))))))))))))))))))))
   3(c_4(c_2(c_1(c_4(c_1(c_3(c_4(c_3(c_4(c_2(c_0(c_2(c_2(c_4(c_3(c_0(c_1(c_0(c_1(x1)))))))))))))))))))) -> 4(2(1(4(1(2(2(2(2(2(3(1(0(1(2(4(3(1(2(4(x1))))))))))))))))))))
   4(c_0(c_0(c_3(c_3(c_1(c_0(c_2(c_2(c_0(c_4(c_0(c_4(c_3(c_0(c_0(c_2(c_2(c_1(c_3(x1)))))))))))))))))))) -> 0(0(3(2(1(2(3(2(4(3(1(2(0(2(2(1(1(0(3(1(x1))))))))))))))))))))
   1(c_3(c_4(c_3(c_0(c_3(c_1(c_4(c_3(c_2(c_4(c_0(c_1(c_0(c_0(c_1(c_3(c_3(c_1(c_1(x1)))))))))))))))))))) -> 1(2(2(4(3(1(4(4(3(1(1(0(3(3(0(3(0(1(0(4(x1))))))))))))))))))))
   3(c_4(c_0(c_0(c_1(c_2(c_0(c_4(c_4(c_4(c_4(c_4(c_1(c_2(c_2(c_4(c_4(c_0(c_3(c_0(x1)))))))))))))))))))) -> 3(2(3(4(1(1(4(3(4(4(1(1(2(2(4(4(0(0(4(0(x1))))))))))))))))))))
   4(c_3(c_4(c_3(c_4(c_4(c_2(c_0(c_4(c_4(c_2(c_0(c_2(c_0(c_4(c_4(c_2(c_2(c_3(c_3(x1)))))))))))))))))))) -> 3(4(0(1(3(0(0(4(3(1(2(2(3(1(3(4(2(2(0(3(x1))))))))))))))))))))
   3(c_2(c_4(c_4(c_2(c_0(c_2(c_4(c_4(c_3(c_3(c_1(c_1(c_2(c_4(c_2(c_3(c_4(c_4(c_2(x1)))))))))))))))))))) -> 1(4(1(3(3(2(1(2(3(4(2(4(1(3(0(4(2(1(3(1(x1))))))))))))))))))))
   4(c_3(c_2(c_3(c_2(c_2(c_1(c_2(c_0(c_3(c_0(c_0(c_0(c_1(c_1(c_3(c_2(c_4(c_3(c_4(x1)))))))))))))))))))) -> 1(3(1(4(0(2(1(0(0(1(3(4(0(3(3(4(2(1(2(1(x1))))))))))))))))))))
   2(c_2(c_3(c_3(c_1(c_3(c_1(c_2(c_0(c_0(c_4(c_3(c_4(c_2(c_2(c_0(c_2(c_2(c_4(c_0(x1)))))))))))))))))))) -> 2(1(2(0(4(4(1(0(2(4(1(3(2(1(3(1(0(2(3(3(x1))))))))))))))))))))
   1(c_2(c_4(c_4(c_0(c_0(c_4(c_3(c_0(c_2(c_2(c_3(c_0(c_0(c_4(c_4(c_3(c_3(c_3(c_2(x1)))))))))))))))))))) -> 4(2(3(2(1(0(4(3(3(1(3(3(1(4(2(0(0(1(4(3(x1))))))))))))))))))))
   2(c_1(c_1(c_3(c_2(c_4(c_3(c_0(c_1(c_4(c_2(c_0(c_3(c_1(c_2(c_0(c_4(c_0(c_3(c_2(x1)))))))))))))))))))) -> 2(2(1(0(4(2(0(1(3(0(4(1(2(4(4(3(2(2(1(2(x1))))))))))))))))))))
   2(c_0(c_4(c_3(c_4(c_4(c_2(c_1(c_0(c_0(c_2(c_4(c_4(c_2(c_1(c_1(c_1(c_1(c_1(c_4(x1)))))))))))))))))))) -> 0(4(0(1(2(2(1(4(2(1(4(3(0(4(3(4(1(1(3(1(x1))))))))))))))))))))
   3(c_4(c_0(c_3(c_1(c_3(c_3(c_3(c_0(c_1(c_3(c_2(c_2(c_3(c_4(c_2(c_2(c_4(c_4(c_2(x1)))))))))))))))))))) -> 0(3(2(1(1(1(3(2(4(0(3(0(3(3(0(2(1(2(1(2(x1))))))))))))))))))))
   0(c_4(c_1(c_1(c_1(c_2(c_1(c_4(c_3(c_2(c_4(c_4(c_2(c_2(c_4(c_2(c_0(c_4(c_1(c_1(x1)))))))))))))))))))) -> 2(1(1(4(2(2(3(1(3(1(2(2(2(4(1(3(3(4(3(0(x1))))))))))))))))))))
   0(c_4(c_4(c_3(c_2(c_0(c_4(c_1(c_0(c_4(c_3(c_1(c_1(c_0(c_2(c_1(c_1(c_3(c_2(c_1(x1)))))))))))))))))))) -> 2(1(2(2(1(2(3(2(1(2(4(2(4(2(3(2(3(4(4(1(x1))))))))))))))))))))
   2(c_3(c_3(c_3(c_4(c_0(c_4(c_1(c_0(c_2(c_2(c_4(c_2(c_4(c_1(c_1(c_3(c_3(c_4(c_1(x1)))))))))))))))))))) -> 4(2(1(4(1(0(3(1(4(4(3(3(0(1(3(1(2(4(3(0(x1))))))))))))))))))))
   4(c_0(c_2(c_1(c_3(c_3(c_4(c_4(c_0(c_0(c_0(c_3(c_2(c_3(c_4(c_4(c_4(c_3(c_2(c_3(x1)))))))))))))))))))) -> 4(0(2(1(4(0(2(0(0(4(0(4(1(0(2(3(4(4(1(2(x1))))))))))))))))))))
   3(c_4(c_0(c_0(c_4(c_1(c_4(c_1(c_1(c_0(c_1(c_0(c_1(c_2(c_1(c_3(c_2(c_2(c_3(c_4(x1)))))))))))))))))))) -> 1(3(4(2(1(3(0(1(4(3(1(3(4(0(4(1(2(4(0(2(x1))))))))))))))))))))
   0(c_2(c_4(c_3(c_1(c_4(c_0(c_3(c_3(c_4(c_4(c_2(c_2(c_4(c_4(c_0(c_4(c_1(c_0(c_0(x1)))))))))))))))))))) -> 4(2(1(0(1(3(3(4(0(0(2(3(3(4(3(1(4(1(0(4(x1))))))))))))))))))))
   4(c_1(c_1(c_0(c_3(c_0(c_1(c_3(c_0(c_4(c_4(c_2(c_1(c_2(c_4(c_2(c_0(c_0(c_3(c_0(x1)))))))))))))))))))) -> 2(3(2(0(1(4(4(4(3(2(3(3(1(4(3(4(2(0(1(3(x1))))))))))))))))))))
   1(c_0(c_1(c_1(c_3(c_3(c_0(c_2(c_0(c_2(c_2(c_1(c_0(c_4(c_1(c_0(c_4(c_3(c_1(c_4(x1)))))))))))))))))))) -> 1(2(4(1(0(0(0(1(4(2(0(0(4(4(4(1(4(3(1(4(x1))))))))))))))))))))
   3(c_2(c_2(c_3(c_3(c_0(c_0(c_4(c_4(c_0(c_4(c_4(c_4(c_2(c_3(c_3(c_1(c_1(c_2(c_1(x1)))))))))))))))))))) -> 3(0(3(4(4(4(4(1(4(3(3(0(0(2(3(2(1(2(2(1(x1))))))))))))))))))))
   0(c_1(c_4(c_0(c_3(c_1(c_3(c_3(c_0(c_3(c_1(c_4(c_4(c_1(c_1(c_1(c_4(c_0(c_4(c_0(x1)))))))))))))))))))) -> 3(2(0(3(2(4(3(4(4(2(1(0(1(4(1(3(1(4(4(4(x1))))))))))))))))))))
   3(c_2(c_4(c_0(c_0(c_2(c_4(c_0(c_4(c_3(c_4(c_2(c_1(c_1(c_2(c_4(c_3(c_3(c_2(c_1(x1)))))))))))))))))))) -> 0(3(3(4(3(1(4(2(4(3(2(1(4(1(4(0(3(1(4(2(x1))))))))))))))))))))
   0(c_2(c_3(c_4(c_2(c_2(c_4(c_4(c_1(c_0(c_3(c_2(c_2(c_4(c_2(c_2(c_3(c_1(c_1(c_4(x1)))))))))))))))))))) -> 1(3(1(4(0(3(1(1(4(3(3(2(2(1(2(0(2(0(3(4(x1))))))))))))))))))))
   4(c_3(c_3(c_2(c_2(c_1(c_3(c_4(c_4(c_2(c_4(c_2(c_3(c_0(c_0(c_2(c_2(c_3(c_2(c_4(x1)))))))))))))))))))) -> 3(2(2(1(1(0(2(2(4(0(0(0(2(1(3(1(0(4(3(4(x1))))))))))))))))))))
   2(c_0(c_1(c_4(c_4(c_3(c_3(c_4(c_2(c_3(c_1(c_3(c_1(c_1(c_3(c_0(c_4(c_1(c_3(c_2(x1)))))))))))))))))))) -> 2(1(4(3(1(0(3(1(4(4(4(2(2(0(0(4(2(0(2(2(x1))))))))))))))))))))
   0(c_1(c_4(c_1(c_3(c_1(c_0(c_2(c_4(c_1(c_3(c_0(c_4(c_3(c_1(c_3(c_1(c_1(c_1(c_0(x1)))))))))))))))))))) -> 3(2(1(1(4(1(2(1(4(0(2(1(1(4(4(0(1(2(2(1(x1))))))))))))))))))))
   1(c_2(c_0(c_3(c_1(c_0(c_2(c_0(c_4(c_1(c_4(c_4(c_2(c_4(c_0(c_4(c_3(c_4(c_4(c_3(x1)))))))))))))))))))) -> 2(1(4(4(4(1(4(1(1(2(4(1(1(2(2(1(1(0(0(0(x1))))))))))))))))))))
   2(c_2(c_4(c_1(c_0(c_3(c_0(c_4(c_2(c_4(c_3(c_3(c_4(c_3(c_3(c_1(c_0(c_1(c_0(c_0(x1)))))))))))))))))))) -> 0(4(3(4(1(0(3(4(4(4(3(0(4(0(1(2(1(3(1(4(x1))))))))))))))))))))
   3(c_0(c_2(c_2(c_1(c_0(c_0(c_0(c_0(c_0(c_3(c_1(c_0(c_0(c_4(c_3(c_4(c_2(c_2(c_0(x1)))))))))))))))))))) -> 3(2(2(0(0(2(2(4(0(4(3(4(3(0(2(2(3(2(1(0(x1))))))))))))))))))))
   3(c_0(c_3(c_0(c_0(c_1(c_3(c_2(c_4(c_4(c_4(c_0(c_3(c_0(c_1(c_4(c_1(c_2(c_4(c_3(x1)))))))))))))))))))) -> 2(2(3(2(1(0(2(0(0(2(0(4(0(4(0(4(3(2(2(3(x1))))))))))))))))))))
   3(c_4(c_4(c_0(c_0(c_0(c_0(c_3(c_2(c_2(c_2(c_1(c_4(c_4(c_4(c_1(c_2(c_4(c_0(c_3(x1)))))))))))))))))))) -> 1(1(4(0(0(2(0(1(2(2(2(2(0(1(3(1(0(2(0(0(x1))))))))))))))))))))
   0(c_1(c_3(c_0(c_2(c_4(c_3(c_0(c_3(c_1(c_0(c_2(c_4(c_2(c_2(c_0(c_3(c_4(c_1(c_1(x1)))))))))))))))))))) -> 4(0(2(4(3(1(3(1(0(2(3(3(2(1(0(4(4(1(2(1(x1))))))))))))))))))))
   4(c_1(c_0(c_2(c_0(c_3(c_2(c_1(c_1(c_3(c_1(c_1(c_0(c_1(c_1(c_2(c_0(c_0(c_4(c_4(x1)))))))))))))))))))) -> 2(1(4(2(2(2(2(2(2(2(0(1(0(3(1(0(1(1(4(0(x1))))))))))))))))))))
   3(c_0(c_1(c_4(c_2(c_2(c_1(c_1(c_2(c_4(c_4(c_1(c_1(c_1(c_3(c_1(c_1(c_3(c_3(c_3(x1)))))))))))))))))))) -> 3(3(4(2(1(1(3(1(2(1(2(2(1(3(4(1(4(2(4(2(x1))))))))))))))))))))
   3(c_1(c_4(c_4(c_1(c_4(c_3(c_4(c_0(c_3(c_0(c_2(c_0(c_3(c_2(c_1(c_2(c_3(c_2(c_4(x1)))))))))))))))))))) -> 2(0(3(1(2(3(1(2(1(2(1(3(3(4(2(0(0(2(2(1(x1))))))))))))))))))))
   2(c_3(c_4(c_4(c_0(c_0(c_4(c_4(c_4(c_3(c_3(c_0(c_4(c_2(c_2(c_3(c_0(c_0(c_1(c_3(x1)))))))))))))))))))) -> 0(2(0(4(3(3(2(1(4(4(1(2(0(1(2(4(3(3(4(1(x1))))))))))))))))))))
   4(c_1(c_1(c_1(c_2(c_2(c_3(c_3(c_3(c_4(c_4(c_0(c_2(c_0(c_2(c_1(c_0(c_1(c_0(c_0(x1)))))))))))))))))))) -> 1(1(0(3(4(0(2(3(1(4(2(4(1(0(4(0(3(1(1(4(x1))))))))))))))))))))
   0(c_2(c_1(c_2(c_1(c_0(c_2(c_3(c_0(c_0(c_4(c_2(c_3(c_1(c_4(c_0(c_3(c_1(c_3(c_1(x1)))))))))))))))))))) -> 3(1(2(3(4(3(0(2(2(2(1(2(2(3(4(2(1(4(3(1(x1))))))))))))))))))))
   1(c_4(c_2(c_3(c_1(c_4(c_2(c_2(c_0(c_4(c_2(c_3(c_0(c_1(c_3(c_2(c_1(c_3(c_3(c_4(x1)))))))))))))))))))) -> 1(4(1(3(4(3(0(1(4(0(2(1(0(1(1(0(3(1(2(2(x1))))))))))))))))))))
   4(c_4(c_1(c_1(c_2(c_0(c_1(c_0(c_2(c_2(c_1(c_0(c_0(c_1(c_0(c_0(c_1(c_1(c_3(c_2(x1)))))))))))))))))))) -> 3(1(4(1(4(4(3(1(2(3(3(2(1(3(3(1(1(3(2(4(x1))))))))))))))))))))
   2(c_3(c_1(c_3(c_2(c_1(c_4(c_1(c_0(c_2(c_4(c_2(c_0(c_0(c_2(c_3(c_4(c_4(c_3(c_2(x1)))))))))))))))))))) -> 4(1(1(4(3(2(3(1(4(1(4(4(1(3(1(2(3(4(4(1(x1))))))))))))))))))))
   2(c_3(c_2(c_4(c_2(c_1(c_0(c_0(c_2(c_4(c_3(c_4(c_1(c_1(c_3(c_2(c_4(c_2(c_1(c_2(x1)))))))))))))))))))) -> 2(3(2(1(1(0(2(0(1(1(3(2(1(4(3(1(1(0(3(1(x1))))))))))))))))))))
   4(c_4(c_3(c_4(c_4(c_2(c_4(c_1(c_1(c_0(c_2(c_3(c_1(c_0(c_3(c_1(c_2(c_2(c_4(c_0(x1)))))))))))))))))))) -> 1(2(1(1(1(2(4(1(4(3(1(4(1(4(3(2(0(4(2(2(x1))))))))))))))))))))
   2(c_0(c_2(c_2(c_1(c_3(c_3(c_2(c_4(c_0(c_1(c_0(c_3(c_1(c_4(c_0(c_0(c_0(c_1(c_3(x1)))))))))))))))))))) -> 1(3(4(2(0(1(1(3(1(3(4(4(2(3(1(0(1(3(1(3(x1))))))))))))))))))))
   3(c_3(c_3(c_4(c_2(c_3(c_3(c_0(c_1(c_3(c_4(c_4(c_4(c_0(c_4(c_2(c_2(c_4(c_0(c_2(x1)))))))))))))))))))) -> 3(4(3(4(1(3(4(2(2(2(2(0(4(1(3(3(1(1(4(4(x1))))))))))))))))))))
   4(c_0(c_4(c_3(c_0(c_0(c_2(c_1(c_2(c_2(c_0(c_3(c_0(c_3(c_1(c_1(c_1(c_3(c_3(c_3(x1)))))))))))))))))))) -> 4(1(2(1(1(2(2(1(1(2(0(1(0(2(4(4(1(1(1(0(x1))))))))))))))))))))

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

   encArg(cons_0(x_1)) -> 0(encArg(x_1))
   encArg(cons_1(x_1)) -> 1(encArg(x_1))
   encArg(cons_2(x_1)) -> 2(encArg(x_1))
   encArg(cons_3(x_1)) -> 3(encArg(x_1))
   encArg(cons_4(x_1)) -> 4(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))
   encode_3(x_1) -> 3(encArg(x_1))
   encode_4(x_1) -> 4(encArg(x_1))
   0(x0) -> c_0(x0)
   1(x0) -> c_1(x0)
   2(x0) -> c_2(x0)
   3(x0) -> c_3(x0)
   4(x0) -> c_4(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:

   1(c_0(c_0(c_4(c_0(c_0(c_1(c_2(c_3(c_0(c_1(c_4(c_1(c_3(c_0(c_2(c_1(c_4(c_0(c_0(x1)))))))))))))))))))) -> 4(1(2(4(1(3(3(4(3(3(3(1(2(2(4(1(0(3(3(1(x1)))))))))))))))))))) [1]
   1(c_1(c_0(c_2(c_4(c_4(c_4(c_1(c_2(c_4(c_4(c_1(c_0(c_4(c_2(c_2(c_1(c_3(c_0(c_3(x1)))))))))))))))))))) -> 2(1(1(1(1(3(3(4(3(1(1(4(4(2(1(3(1(0(0(3(x1)))))))))))))))))))) [1]
   3(c_0(c_3(c_3(c_3(c_4(c_2(c_1(c_4(c_2(c_2(c_3(c_2(c_0(c_4(c_4(c_4(c_1(c_1(c_1(x1)))))))))))))))))))) -> 1(4(3(4(2(2(4(3(2(0(1(4(1(1(3(1(2(1(1(3(x1)))))))))))))))))))) [1]
   1(c_4(c_1(c_3(c_0(c_1(c_1(c_1(c_1(c_0(c_4(c_0(c_0(c_3(c_0(c_3(c_2(c_4(c_3(c_4(x1)))))))))))))))))))) -> 1(4(4(0(4(0(0(2(4(0(4(3(2(1(2(4(2(4(3(1(x1)))))))))))))))))))) [1]
   3(c_1(c_0(c_0(c_1(c_0(c_4(c_4(c_1(c_0(c_1(c_2(c_4(c_0(c_2(c_1(c_3(c_0(c_2(c_0(x1)))))))))))))))))))) -> 4(4(3(2(4(2(1(2(0(0(1(4(2(3(0(0(1(0(1(4(x1)))))))))))))))))))) [1]
   0(c_4(c_4(c_4(c_0(c_2(c_2(c_1(c_3(c_2(c_1(c_0(c_4(c_1(c_3(c_0(c_1(c_3(c_4(c_4(x1)))))))))))))))))))) -> 3(2(3(0(1(2(2(3(1(4(0(4(1(1(1(4(2(2(1(1(x1)))))))))))))))))))) [1]
   0(c_1(c_4(c_2(c_3(c_1(c_1(c_2(c_3(c_2(c_3(c_1(c_0(c_1(c_0(c_2(c_0(c_2(c_3(c_2(x1)))))))))))))))))))) -> 3(1(3(2(0(4(1(3(2(1(0(4(0(4(4(3(2(1(4(3(x1)))))))))))))))))))) [1]
   3(c_0(c_3(c_0(c_4(c_1(c_3(c_1(c_1(c_0(c_4(c_1(c_2(c_3(c_4(c_1(c_1(c_0(c_1(c_4(x1)))))))))))))))))))) -> 2(0(1(2(4(3(2(1(4(2(4(0(3(2(4(2(3(1(4(1(x1)))))))))))))))))))) [1]
   0(c_3(c_0(c_0(c_1(c_1(c_4(c_3(c_4(c_3(c_0(c_4(c_2(c_1(c_4(c_3(c_4(c_2(c_1(c_2(x1)))))))))))))))))))) -> 1(4(0(1(2(2(2(3(4(4(2(4(2(2(1(3(1(4(2(4(x1)))))))))))))))))))) [1]
   4(c_1(c_3(c_2(c_2(c_4(c_4(c_2(c_0(c_0(c_3(c_2(c_3(c_1(c_1(c_3(c_2(c_3(c_3(c_1(x1)))))))))))))))))))) -> 3(2(1(2(1(3(2(1(3(2(3(2(1(1(2(1(2(3(4(3(x1)))))))))))))))))))) [1]
   4(c_0(c_3(c_0(c_3(c_1(c_1(c_2(c_0(c_4(c_3(c_0(c_4(c_3(c_1(c_0(c_0(c_4(c_2(c_4(x1)))))))))))))))))))) -> 2(4(4(4(4(2(2(2(2(4(3(2(2(3(4(1(2(0(1(3(x1)))))))))))))))))))) [1]
   0(c_0(c_0(c_0(c_1(c_0(c_2(c_2(c_3(c_2(c_1(c_1(c_0(c_3(c_2(c_1(c_1(c_1(c_2(c_4(x1)))))))))))))))))))) -> 0(3(2(3(3(2(1(4(2(2(2(1(0(0(2(0(1(2(2(4(x1)))))))))))))))))))) [1]
   4(c_3(c_4(c_3(c_4(c_4(c_3(c_0(c_3(c_3(c_2(c_2(c_3(c_1(c_3(c_2(c_2(c_3(c_4(c_1(x1)))))))))))))))))))) -> 4(1(0(0(4(3(4(1(2(4(3(3(2(1(3(4(1(0(3(1(x1)))))))))))))))))))) [1]
   0(c_2(c_1(c_4(c_2(c_4(c_3(c_4(c_0(c_0(c_3(c_0(c_2(c_4(c_1(c_4(c_4(c_0(c_1(c_1(x1)))))))))))))))))))) -> 4(4(3(3(1(4(0(3(2(3(3(1(4(0(1(2(1(4(1(0(x1)))))))))))))))))))) [1]
   2(c_1(c_3(c_3(c_4(c_1(c_4(c_0(c_4(c_0(c_3(c_0(c_0(c_2(c_4(c_1(c_4(c_0(c_0(c_3(x1)))))))))))))))))))) -> 1(0(0(4(3(3(0(3(2(2(4(3(2(2(1(1(3(1(4(1(x1)))))))))))))))))))) [1]
   4(c_4(c_0(c_4(c_4(c_1(c_0(c_3(c_3(c_2(c_0(c_3(c_0(c_1(c_3(c_0(c_3(c_1(c_3(c_3(x1)))))))))))))))))))) -> 2(1(0(3(1(3(1(4(3(3(0(0(1(4(4(1(2(2(3(0(x1)))))))))))))))))))) [1]
   2(c_4(c_2(c_3(c_0(c_2(c_3(c_2(c_2(c_3(c_2(c_1(c_0(c_3(c_4(c_1(c_3(c_1(c_0(c_1(x1)))))))))))))))))))) -> 1(3(0(4(4(1(3(2(1(0(2(4(1(0(2(2(0(4(4(1(x1)))))))))))))))))))) [1]
   2(c_2(c_2(c_0(c_0(c_0(c_3(c_4(c_4(c_0(c_2(c_1(c_2(c_0(c_0(c_2(c_0(c_3(c_0(c_0(x1)))))))))))))))))))) -> 4(2(3(4(0(4(2(1(0(3(1(1(1(3(0(0(3(1(2(0(x1)))))))))))))))))))) [1]
   3(c_3(c_0(c_3(c_0(c_4(c_2(c_0(c_1(c_3(c_3(c_4(c_1(c_0(c_3(c_2(c_2(c_1(c_1(c_1(x1)))))))))))))))))))) -> 4(0(1(3(1(2(1(0(1(1(2(3(0(4(3(3(1(3(0(1(x1)))))))))))))))))))) [1]
   4(c_2(c_1(c_2(c_1(c_1(c_2(c_3(c_4(c_2(c_3(c_2(c_1(c_4(c_2(c_2(c_4(c_0(c_3(c_0(x1)))))))))))))))))))) -> 3(1(0(2(1(3(1(2(1(0(2(1(1(3(1(0(4(0(3(4(x1)))))))))))))))))))) [1]
   1(c_4(c_2(c_4(c_4(c_3(c_3(c_4(c_3(c_3(c_4(c_1(c_4(c_1(c_2(c_3(c_4(c_1(c_1(c_2(x1)))))))))))))))))))) -> 3(2(2(0(3(0(2(2(1(2(1(0(3(4(1(3(1(2(1(2(x1)))))))))))))))))))) [1]
   4(c_0(c_2(c_4(c_2(c_1(c_4(c_2(c_4(c_2(c_4(c_1(c_2(c_0(c_1(c_0(c_3(c_0(c_3(c_0(x1)))))))))))))))))))) -> 0(3(1(0(4(1(4(2(3(1(4(4(1(2(0(1(0(0(0(4(x1)))))))))))))))))))) [1]
   2(c_0(c_0(c_3(c_3(c_1(c_0(c_4(c_2(c_3(c_1(c_2(c_3(c_0(c_4(c_1(c_3(c_0(c_4(c_4(x1)))))))))))))))))))) -> 4(0(3(4(3(3(1(2(1(4(1(4(4(3(0(3(0(1(0(0(x1)))))))))))))))))))) [1]
   4(c_3(c_2(c_0(c_1(c_0(c_2(c_2(c_3(c_1(c_4(c_0(c_0(c_3(c_4(c_0(c_0(c_1(c_1(c_2(x1)))))))))))))))))))) -> 3(2(0(3(0(0(4(1(1(4(2(4(1(4(3(1(3(1(4(3(x1)))))))))))))))))))) [1]
   1(c_0(c_0(c_0(c_3(c_2(c_4(c_3(c_1(c_2(c_3(c_0(c_2(c_4(c_1(c_0(c_1(c_2(c_4(c_2(x1)))))))))))))))))))) -> 2(0(0(4(4(1(4(3(2(1(3(1(3(0(4(1(1(4(0(2(x1)))))))))))))))))))) [1]
   4(c_1(c_3(c_4(c_1(c_3(c_0(c_2(c_4(c_3(c_4(c_3(c_3(c_1(c_0(c_2(c_0(c_1(c_2(c_4(x1)))))))))))))))))))) -> 2(0(4(4(1(0(2(2(1(1(4(0(4(0(1(4(0(4(4(3(x1)))))))))))))))))))) [1]
   4(c_3(c_1(c_3(c_2(c_2(c_4(c_0(c_1(c_0(c_4(c_0(c_0(c_2(c_1(c_0(c_1(c_4(c_3(c_0(x1)))))))))))))))))))) -> 1(3(1(1(1(1(3(4(4(1(4(4(1(4(0(4(2(4(1(3(x1)))))))))))))))))))) [1]
   2(c_3(c_0(c_4(c_0(c_2(c_4(c_4(c_4(c_2(c_1(c_2(c_0(c_3(c_2(c_2(c_1(c_1(c_3(c_0(x1)))))))))))))))))))) -> 2(1(1(1(4(4(1(1(4(0(2(3(2(4(1(0(2(4(2(1(x1)))))))))))))))))))) [1]
   2(c_4(c_3(c_4(c_4(c_4(c_4(c_3(c_2(c_4(c_4(c_2(c_3(c_3(c_1(c_1(c_0(c_4(c_2(c_2(x1)))))))))))))))))))) -> 4(1(4(3(4(2(2(1(2(1(4(4(3(1(0(4(3(4(0(0(x1)))))))))))))))))))) [1]
   3(c_3(c_1(c_1(c_2(c_2(c_4(c_2(c_1(c_4(c_3(c_3(c_4(c_3(c_1(c_0(c_0(c_2(c_1(c_1(x1)))))))))))))))))))) -> 2(2(2(0(3(1(1(1(4(1(0(3(1(2(1(4(1(3(1(1(x1)))))))))))))))))))) [1]
   3(c_2(c_0(c_0(c_1(c_4(c_1(c_0(c_3(c_3(c_0(c_3(c_0(c_1(c_4(c_1(c_3(c_3(c_2(c_1(x1)))))))))))))))))))) -> 1(2(2(2(1(1(4(3(0(3(2(2(4(2(1(4(4(3(1(4(x1)))))))))))))))))))) [1]
   0(c_0(c_4(c_0(c_2(c_1(c_4(c_1(c_4(c_0(c_1(c_2(c_0(c_0(c_4(c_1(c_0(c_3(c_2(c_1(x1)))))))))))))))))))) -> 2(3(3(3(1(3(2(4(2(1(1(3(0(2(1(2(3(4(2(1(x1)))))))))))))))))))) [1]
   3(c_3(c_4(c_1(c_1(c_4(c_4(c_3(c_1(c_0(c_1(c_3(c_0(c_0(c_3(c_1(c_3(c_3(c_2(c_0(x1)))))))))))))))))))) -> 2(1(4(1(1(1(4(2(4(2(4(1(3(4(2(3(3(2(2(4(x1)))))))))))))))))))) [1]
   0(c_1(c_4(c_3(c_4(c_0(c_1(c_0(c_2(c_3(c_4(c_0(c_3(c_4(c_2(c_0(c_1(c_4(c_0(c_3(x1)))))))))))))))))))) -> 0(3(3(4(2(1(0(1(3(3(0(3(2(4(1(3(2(3(1(4(x1)))))))))))))))))))) [1]
   2(c_2(c_3(c_3(c_0(c_2(c_0(c_3(c_0(c_1(c_4(c_3(c_2(c_2(c_1(c_0(c_2(c_2(c_4(c_4(x1)))))))))))))))))))) -> 4(1(2(4(2(1(4(2(2(0(3(0(1(4(1(2(4(3(4(0(x1)))))))))))))))))))) [1]
   4(c_1(c_3(c_4(c_2(c_3(c_0(c_4(c_4(c_3(c_3(c_1(c_1(c_3(c_4(c_1(c_1(c_3(c_3(c_0(x1)))))))))))))))))))) -> 2(4(4(4(4(2(2(4(1(0(2(2(4(0(3(2(2(2(2(2(x1)))))))))))))))))))) [1]
   1(c_4(c_1(c_2(c_3(c_0(c_0(c_2(c_3(c_4(c_1(c_4(c_0(c_2(c_0(c_4(c_1(c_1(c_2(c_0(x1)))))))))))))))))))) -> 4(3(1(2(1(4(4(3(4(3(2(2(1(3(2(1(3(4(1(4(x1)))))))))))))))))))) [1]
   2(c_3(c_0(c_4(c_1(c_3(c_1(c_3(c_0(c_0(c_1(c_1(c_1(c_1(c_2(c_3(c_1(c_4(c_2(c_1(x1)))))))))))))))))))) -> 1(0(2(2(2(3(3(1(0(4(3(1(4(2(2(1(1(0(3(1(x1)))))))))))))))))))) [1]
   0(c_0(c_2(c_2(c_2(c_1(c_2(c_3(c_0(c_2(c_0(c_4(c_4(c_0(c_3(c_3(c_3(c_0(c_0(c_3(x1)))))))))))))))))))) -> 0(0(0(3(3(1(1(1(4(4(1(4(3(3(0(3(3(2(4(3(x1)))))))))))))))))))) [1]
   4(c_3(c_4(c_4(c_2(c_2(c_3(c_2(c_0(c_4(c_2(c_4(c_2(c_2(c_1(c_4(c_2(c_3(c_3(c_0(x1)))))))))))))))))))) -> 1(2(1(2(1(1(0(4(0(1(1(4(2(1(0(4(1(0(4(3(x1)))))))))))))))))))) [1]
   4(c_4(c_3(c_2(c_1(c_2(c_0(c_3(c_0(c_4(c_0(c_2(c_1(c_4(c_4(c_0(c_2(c_1(c_3(c_0(x1)))))))))))))))))))) -> 4(2(4(1(4(2(2(0(1(0(3(1(3(0(1(3(3(2(1(0(x1)))))))))))))))))))) [1]
   3(c_4(c_1(c_4(c_3(c_2(c_2(c_4(c_1(c_1(c_4(c_4(c_2(c_3(c_0(c_1(c_1(c_3(c_0(c_1(x1)))))))))))))))))))) -> 4(1(4(0(1(4(1(2(2(4(2(2(1(2(2(1(1(1(3(2(x1)))))))))))))))))))) [1]
   3(c_4(c_2(c_4(c_2(c_0(c_3(c_4(c_2(c_4(c_3(c_1(c_4(c_3(c_4(c_0(c_4(c_4(c_3(c_1(x1)))))))))))))))))))) -> 3(4(1(3(2(3(3(4(4(1(1(3(1(3(3(1(1(4(1(0(x1)))))))))))))))))))) [1]
   3(c_2(c_1(c_0(c_2(c_3(c_1(c_2(c_3(c_2(c_0(c_1(c_0(c_3(c_0(c_0(c_1(c_4(c_2(c_1(x1)))))))))))))))))))) -> 1(3(1(4(1(1(1(4(0(0(2(1(0(4(1(2(2(3(1(1(x1)))))))))))))))))))) [1]
   4(c_1(c_2(c_1(c_0(c_4(c_3(c_1(c_3(c_0(c_2(c_3(c_3(c_4(c_3(c_1(c_0(c_0(c_0(c_4(x1)))))))))))))))))))) -> 3(2(0(2(2(1(2(1(1(2(3(0(1(3(3(3(2(4(1(0(x1)))))))))))))))))))) [1]
   0(c_4(c_4(c_1(c_1(c_0(c_1(c_4(c_1(c_1(c_1(c_4(c_0(c_1(c_0(c_0(c_4(c_1(c_4(c_3(x1)))))))))))))))))))) -> 2(2(1(0(2(2(3(4(2(1(2(0(3(0(3(3(1(1(4(2(x1)))))))))))))))))))) [1]
   0(c_2(c_0(c_1(c_2(c_0(c_3(c_1(c_2(c_1(c_3(c_3(c_1(c_3(c_2(c_0(c_0(c_4(c_2(c_1(x1)))))))))))))))))))) -> 1(2(2(0(4(4(0(3(1(4(1(3(4(3(3(4(4(4(2(1(x1)))))))))))))))))))) [1]
   3(c_1(c_0(c_0(c_0(c_4(c_0(c_4(c_3(c_0(c_2(c_4(c_3(c_3(c_3(c_1(c_1(c_3(c_0(c_1(x1)))))))))))))))))))) -> 4(2(4(2(0(1(2(3(4(1(0(3(1(2(2(0(4(4(2(4(x1)))))))))))))))))))) [1]
   2(c_0(c_0(c_0(c_0(c_1(c_4(c_4(c_3(c_1(c_3(c_3(c_2(c_2(c_1(c_4(c_4(c_2(c_3(c_1(x1)))))))))))))))))))) -> 2(4(1(0(1(4(3(1(2(2(2(1(1(1(3(4(4(0(1(2(x1)))))))))))))))))))) [1]
   0(c_3(c_2(c_0(c_1(c_4(c_3(c_0(c_2(c_4(c_0(c_2(c_0(c_0(c_1(c_4(c_4(c_2(c_4(c_4(x1)))))))))))))))))))) -> 4(0(0(0(4(4(2(1(3(1(0(1(2(2(2(4(4(4(2(3(x1)))))))))))))))))))) [1]
   2(c_3(c_0(c_2(c_4(c_0(c_1(c_0(c_3(c_4(c_3(c_3(c_1(c_4(c_1(c_0(c_4(c_3(c_2(c_2(x1)))))))))))))))))))) -> 3(1(3(1(2(2(0(4(1(3(1(1(4(2(3(4(4(4(4(4(x1)))))))))))))))))))) [1]
   0(c_2(c_1(c_4(c_4(c_4(c_3(c_4(c_2(c_1(c_1(c_0(c_0(c_1(c_4(c_4(c_2(c_0(c_3(c_4(x1)))))))))))))))))))) -> 1(0(1(4(2(1(0(2(4(4(4(0(1(1(3(1(3(4(3(1(x1)))))))))))))))))))) [1]
   3(c_4(c_2(c_1(c_4(c_1(c_3(c_4(c_3(c_4(c_2(c_0(c_2(c_2(c_4(c_3(c_0(c_1(c_0(c_1(x1)))))))))))))))))))) -> 4(2(1(4(1(2(2(2(2(2(3(1(0(1(2(4(3(1(2(4(x1)))))))))))))))))))) [1]
   4(c_0(c_0(c_3(c_3(c_1(c_0(c_2(c_2(c_0(c_4(c_0(c_4(c_3(c_0(c_0(c_2(c_2(c_1(c_3(x1)))))))))))))))))))) -> 0(0(3(2(1(2(3(2(4(3(1(2(0(2(2(1(1(0(3(1(x1)))))))))))))))))))) [1]
   1(c_3(c_4(c_3(c_0(c_3(c_1(c_4(c_3(c_2(c_4(c_0(c_1(c_0(c_0(c_1(c_3(c_3(c_1(c_1(x1)))))))))))))))))))) -> 1(2(2(4(3(1(4(4(3(1(1(0(3(3(0(3(0(1(0(4(x1)))))))))))))))))))) [1]
   3(c_4(c_0(c_0(c_1(c_2(c_0(c_4(c_4(c_4(c_4(c_4(c_1(c_2(c_2(c_4(c_4(c_0(c_3(c_0(x1)))))))))))))))))))) -> 3(2(3(4(1(1(4(3(4(4(1(1(2(2(4(4(0(0(4(0(x1)))))))))))))))))))) [1]
   4(c_3(c_4(c_3(c_4(c_4(c_2(c_0(c_4(c_4(c_2(c_0(c_2(c_0(c_4(c_4(c_2(c_2(c_3(c_3(x1)))))))))))))))))))) -> 3(4(0(1(3(0(0(4(3(1(2(2(3(1(3(4(2(2(0(3(x1)))))))))))))))))))) [1]
   3(c_2(c_4(c_4(c_2(c_0(c_2(c_4(c_4(c_3(c_3(c_1(c_1(c_2(c_4(c_2(c_3(c_4(c_4(c_2(x1)))))))))))))))))))) -> 1(4(1(3(3(2(1(2(3(4(2(4(1(3(0(4(2(1(3(1(x1)))))))))))))))))))) [1]
   4(c_3(c_2(c_3(c_2(c_2(c_1(c_2(c_0(c_3(c_0(c_0(c_0(c_1(c_1(c_3(c_2(c_4(c_3(c_4(x1)))))))))))))))))))) -> 1(3(1(4(0(2(1(0(0(1(3(4(0(3(3(4(2(1(2(1(x1)))))))))))))))))))) [1]
   2(c_2(c_3(c_3(c_1(c_3(c_1(c_2(c_0(c_0(c_4(c_3(c_4(c_2(c_2(c_0(c_2(c_2(c_4(c_0(x1)))))))))))))))))))) -> 2(1(2(0(4(4(1(0(2(4(1(3(2(1(3(1(0(2(3(3(x1)))))))))))))))))))) [1]
   1(c_2(c_4(c_4(c_0(c_0(c_4(c_3(c_0(c_2(c_2(c_3(c_0(c_0(c_4(c_4(c_3(c_3(c_3(c_2(x1)))))))))))))))))))) -> 4(2(3(2(1(0(4(3(3(1(3(3(1(4(2(0(0(1(4(3(x1)))))))))))))))))))) [1]
   2(c_1(c_1(c_3(c_2(c_4(c_3(c_0(c_1(c_4(c_2(c_0(c_3(c_1(c_2(c_0(c_4(c_0(c_3(c_2(x1)))))))))))))))))))) -> 2(2(1(0(4(2(0(1(3(0(4(1(2(4(4(3(2(2(1(2(x1)))))))))))))))))))) [1]
   2(c_0(c_4(c_3(c_4(c_4(c_2(c_1(c_0(c_0(c_2(c_4(c_4(c_2(c_1(c_1(c_1(c_1(c_1(c_4(x1)))))))))))))))))))) -> 0(4(0(1(2(2(1(4(2(1(4(3(0(4(3(4(1(1(3(1(x1)))))))))))))))))))) [1]
   3(c_4(c_0(c_3(c_1(c_3(c_3(c_3(c_0(c_1(c_3(c_2(c_2(c_3(c_4(c_2(c_2(c_4(c_4(c_2(x1)))))))))))))))))))) -> 0(3(2(1(1(1(3(2(4(0(3(0(3(3(0(2(1(2(1(2(x1)))))))))))))))))))) [1]
   0(c_4(c_1(c_1(c_1(c_2(c_1(c_4(c_3(c_2(c_4(c_4(c_2(c_2(c_4(c_2(c_0(c_4(c_1(c_1(x1)))))))))))))))))))) -> 2(1(1(4(2(2(3(1(3(1(2(2(2(4(1(3(3(4(3(0(x1)))))))))))))))))))) [1]
   0(c_4(c_4(c_3(c_2(c_0(c_4(c_1(c_0(c_4(c_3(c_1(c_1(c_0(c_2(c_1(c_1(c_3(c_2(c_1(x1)))))))))))))))))))) -> 2(1(2(2(1(2(3(2(1(2(4(2(4(2(3(2(3(4(4(1(x1)))))))))))))))))))) [1]
   2(c_3(c_3(c_3(c_4(c_0(c_4(c_1(c_0(c_2(c_2(c_4(c_2(c_4(c_1(c_1(c_3(c_3(c_4(c_1(x1)))))))))))))))))))) -> 4(2(1(4(1(0(3(1(4(4(3(3(0(1(3(1(2(4(3(0(x1)))))))))))))))))))) [1]
   4(c_0(c_2(c_1(c_3(c_3(c_4(c_4(c_0(c_0(c_0(c_3(c_2(c_3(c_4(c_4(c_4(c_3(c_2(c_3(x1)))))))))))))))))))) -> 4(0(2(1(4(0(2(0(0(4(0(4(1(0(2(3(4(4(1(2(x1)))))))))))))))))))) [1]
   3(c_4(c_0(c_0(c_4(c_1(c_4(c_1(c_1(c_0(c_1(c_0(c_1(c_2(c_1(c_3(c_2(c_2(c_3(c_4(x1)))))))))))))))))))) -> 1(3(4(2(1(3(0(1(4(3(1(3(4(0(4(1(2(4(0(2(x1)))))))))))))))))))) [1]
   0(c_2(c_4(c_3(c_1(c_4(c_0(c_3(c_3(c_4(c_4(c_2(c_2(c_4(c_4(c_0(c_4(c_1(c_0(c_0(x1)))))))))))))))))))) -> 4(2(1(0(1(3(3(4(0(0(2(3(3(4(3(1(4(1(0(4(x1)))))))))))))))))))) [1]
   4(c_1(c_1(c_0(c_3(c_0(c_1(c_3(c_0(c_4(c_4(c_2(c_1(c_2(c_4(c_2(c_0(c_0(c_3(c_0(x1)))))))))))))))))))) -> 2(3(2(0(1(4(4(4(3(2(3(3(1(4(3(4(2(0(1(3(x1)))))))))))))))))))) [1]
   1(c_0(c_1(c_1(c_3(c_3(c_0(c_2(c_0(c_2(c_2(c_1(c_0(c_4(c_1(c_0(c_4(c_3(c_1(c_4(x1)))))))))))))))))))) -> 1(2(4(1(0(0(0(1(4(2(0(0(4(4(4(1(4(3(1(4(x1)))))))))))))))))))) [1]
   3(c_2(c_2(c_3(c_3(c_0(c_0(c_4(c_4(c_0(c_4(c_4(c_4(c_2(c_3(c_3(c_1(c_1(c_2(c_1(x1)))))))))))))))))))) -> 3(0(3(4(4(4(4(1(4(3(3(0(0(2(3(2(1(2(2(1(x1)))))))))))))))))))) [1]
   0(c_1(c_4(c_0(c_3(c_1(c_3(c_3(c_0(c_3(c_1(c_4(c_4(c_1(c_1(c_1(c_4(c_0(c_4(c_0(x1)))))))))))))))))))) -> 3(2(0(3(2(4(3(4(4(2(1(0(1(4(1(3(1(4(4(4(x1)))))))))))))))))))) [1]
   3(c_2(c_4(c_0(c_0(c_2(c_4(c_0(c_4(c_3(c_4(c_2(c_1(c_1(c_2(c_4(c_3(c_3(c_2(c_1(x1)))))))))))))))))))) -> 0(3(3(4(3(1(4(2(4(3(2(1(4(1(4(0(3(1(4(2(x1)))))))))))))))))))) [1]
   0(c_2(c_3(c_4(c_2(c_2(c_4(c_4(c_1(c_0(c_3(c_2(c_2(c_4(c_2(c_2(c_3(c_1(c_1(c_4(x1)))))))))))))))))))) -> 1(3(1(4(0(3(1(1(4(3(3(2(2(1(2(0(2(0(3(4(x1)))))))))))))))))))) [1]
   4(c_3(c_3(c_2(c_2(c_1(c_3(c_4(c_4(c_2(c_4(c_2(c_3(c_0(c_0(c_2(c_2(c_3(c_2(c_4(x1)))))))))))))))))))) -> 3(2(2(1(1(0(2(2(4(0(0(0(2(1(3(1(0(4(3(4(x1)))))))))))))))))))) [1]
   2(c_0(c_1(c_4(c_4(c_3(c_3(c_4(c_2(c_3(c_1(c_3(c_1(c_1(c_3(c_0(c_4(c_1(c_3(c_2(x1)))))))))))))))))))) -> 2(1(4(3(1(0(3(1(4(4(4(2(2(0(0(4(2(0(2(2(x1)))))))))))))))))))) [1]
   0(c_1(c_4(c_1(c_3(c_1(c_0(c_2(c_4(c_1(c_3(c_0(c_4(c_3(c_1(c_3(c_1(c_1(c_1(c_0(x1)))))))))))))))))))) -> 3(2(1(1(4(1(2(1(4(0(2(1(1(4(4(0(1(2(2(1(x1)))))))))))))))))))) [1]
   1(c_2(c_0(c_3(c_1(c_0(c_2(c_0(c_4(c_1(c_4(c_4(c_2(c_4(c_0(c_4(c_3(c_4(c_4(c_3(x1)))))))))))))))))))) -> 2(1(4(4(4(1(4(1(1(2(4(1(1(2(2(1(1(0(0(0(x1)))))))))))))))))))) [1]
   2(c_2(c_4(c_1(c_0(c_3(c_0(c_4(c_2(c_4(c_3(c_3(c_4(c_3(c_3(c_1(c_0(c_1(c_0(c_0(x1)))))))))))))))))))) -> 0(4(3(4(1(0(3(4(4(4(3(0(4(0(1(2(1(3(1(4(x1)))))))))))))))))))) [1]
   3(c_0(c_2(c_2(c_1(c_0(c_0(c_0(c_0(c_0(c_3(c_1(c_0(c_0(c_4(c_3(c_4(c_2(c_2(c_0(x1)))))))))))))))))))) -> 3(2(2(0(0(2(2(4(0(4(3(4(3(0(2(2(3(2(1(0(x1)))))))))))))))))))) [1]
   3(c_0(c_3(c_0(c_0(c_1(c_3(c_2(c_4(c_4(c_4(c_0(c_3(c_0(c_1(c_4(c_1(c_2(c_4(c_3(x1)))))))))))))))))))) -> 2(2(3(2(1(0(2(0(0(2(0(4(0(4(0(4(3(2(2(3(x1)))))))))))))))))))) [1]
   3(c_4(c_4(c_0(c_0(c_0(c_0(c_3(c_2(c_2(c_2(c_1(c_4(c_4(c_4(c_1(c_2(c_4(c_0(c_3(x1)))))))))))))))))))) -> 1(1(4(0(0(2(0(1(2(2(2(2(0(1(3(1(0(2(0(0(x1)))))))))))))))))))) [1]
   0(c_1(c_3(c_0(c_2(c_4(c_3(c_0(c_3(c_1(c_0(c_2(c_4(c_2(c_2(c_0(c_3(c_4(c_1(c_1(x1)))))))))))))))))))) -> 4(0(2(4(3(1(3(1(0(2(3(3(2(1(0(4(4(1(2(1(x1)))))))))))))))))))) [1]
   4(c_1(c_0(c_2(c_0(c_3(c_2(c_1(c_1(c_3(c_1(c_1(c_0(c_1(c_1(c_2(c_0(c_0(c_4(c_4(x1)))))))))))))))))))) -> 2(1(4(2(2(2(2(2(2(2(0(1(0(3(1(0(1(1(4(0(x1)))))))))))))))))))) [1]
   3(c_0(c_1(c_4(c_2(c_2(c_1(c_1(c_2(c_4(c_4(c_1(c_1(c_1(c_3(c_1(c_1(c_3(c_3(c_3(x1)))))))))))))))))))) -> 3(3(4(2(1(1(3(1(2(1(2(2(1(3(4(1(4(2(4(2(x1)))))))))))))))))))) [1]
   3(c_1(c_4(c_4(c_1(c_4(c_3(c_4(c_0(c_3(c_0(c_2(c_0(c_3(c_2(c_1(c_2(c_3(c_2(c_4(x1)))))))))))))))))))) -> 2(0(3(1(2(3(1(2(1(2(1(3(3(4(2(0(0(2(2(1(x1)))))))))))))))))))) [1]
   2(c_3(c_4(c_4(c_0(c_0(c_4(c_4(c_4(c_3(c_3(c_0(c_4(c_2(c_2(c_3(c_0(c_0(c_1(c_3(x1)))))))))))))))))))) -> 0(2(0(4(3(3(2(1(4(4(1(2(0(1(2(4(3(3(4(1(x1)))))))))))))))))))) [1]
   4(c_1(c_1(c_1(c_2(c_2(c_3(c_3(c_3(c_4(c_4(c_0(c_2(c_0(c_2(c_1(c_0(c_1(c_0(c_0(x1)))))))))))))))))))) -> 1(1(0(3(4(0(2(3(1(4(2(4(1(0(4(0(3(1(1(4(x1)))))))))))))))))))) [1]
   0(c_2(c_1(c_2(c_1(c_0(c_2(c_3(c_0(c_0(c_4(c_2(c_3(c_1(c_4(c_0(c_3(c_1(c_3(c_1(x1)))))))))))))))))))) -> 3(1(2(3(4(3(0(2(2(2(1(2(2(3(4(2(1(4(3(1(x1)))))))))))))))))))) [1]
   1(c_4(c_2(c_3(c_1(c_4(c_2(c_2(c_0(c_4(c_2(c_3(c_0(c_1(c_3(c_2(c_1(c_3(c_3(c_4(x1)))))))))))))))))))) -> 1(4(1(3(4(3(0(1(4(0(2(1(0(1(1(0(3(1(2(2(x1)))))))))))))))))))) [1]
   4(c_4(c_1(c_1(c_2(c_0(c_1(c_0(c_2(c_2(c_1(c_0(c_0(c_1(c_0(c_0(c_1(c_1(c_3(c_2(x1)))))))))))))))))))) -> 3(1(4(1(4(4(3(1(2(3(3(2(1(3(3(1(1(3(2(4(x1)))))))))))))))))))) [1]
   2(c_3(c_1(c_3(c_2(c_1(c_4(c_1(c_0(c_2(c_4(c_2(c_0(c_0(c_2(c_3(c_4(c_4(c_3(c_2(x1)))))))))))))))))))) -> 4(1(1(4(3(2(3(1(4(1(4(4(1(3(1(2(3(4(4(1(x1)))))))))))))))))))) [1]
   2(c_3(c_2(c_4(c_2(c_1(c_0(c_0(c_2(c_4(c_3(c_4(c_1(c_1(c_3(c_2(c_4(c_2(c_1(c_2(x1)))))))))))))))))))) -> 2(3(2(1(1(0(2(0(1(1(3(2(1(4(3(1(1(0(3(1(x1)))))))))))))))))))) [1]
   4(c_4(c_3(c_4(c_4(c_2(c_4(c_1(c_1(c_0(c_2(c_3(c_1(c_0(c_3(c_1(c_2(c_2(c_4(c_0(x1)))))))))))))))))))) -> 1(2(1(1(1(2(4(1(4(3(1(4(1(4(3(2(0(4(2(2(x1)))))))))))))))))))) [1]
   2(c_0(c_2(c_2(c_1(c_3(c_3(c_2(c_4(c_0(c_1(c_0(c_3(c_1(c_4(c_0(c_0(c_0(c_1(c_3(x1)))))))))))))))))))) -> 1(3(4(2(0(1(1(3(1(3(4(4(2(3(1(0(1(3(1(3(x1)))))))))))))))))))) [1]
   3(c_3(c_3(c_4(c_2(c_3(c_3(c_0(c_1(c_3(c_4(c_4(c_4(c_0(c_4(c_2(c_2(c_4(c_0(c_2(x1)))))))))))))))))))) -> 3(4(3(4(1(3(4(2(2(2(2(0(4(1(3(3(1(1(4(4(x1)))))))))))))))))))) [1]
   4(c_0(c_4(c_3(c_0(c_0(c_2(c_1(c_2(c_2(c_0(c_3(c_0(c_3(c_1(c_1(c_1(c_3(c_3(c_3(x1)))))))))))))))))))) -> 4(1(2(1(1(2(2(1(1(2(0(1(0(2(4(4(1(1(1(0(x1)))))))))))))))))))) [1]
   encArg(cons_0(x_1)) -> 0(encArg(x_1)) [0]
   encArg(cons_1(x_1)) -> 1(encArg(x_1)) [0]
   encArg(cons_2(x_1)) -> 2(encArg(x_1)) [0]
   encArg(cons_3(x_1)) -> 3(encArg(x_1)) [0]
   encArg(cons_4(x_1)) -> 4(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]
   encode_3(x_1) -> 3(encArg(x_1)) [0]
   encode_4(x_1) -> 4(encArg(x_1)) [0]
   0(x0) -> c_0(x0) [0]
   1(x0) -> c_1(x0) [0]
   2(x0) -> c_2(x0) [0]
   3(x0) -> c_3(x0) [0]
   4(x0) -> c_4(x0) [0]

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

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

1 => 1'
3 => 3'
0 => 0'
4 => 4'
2 => 2'

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

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


The TRS R consists of the following rules:

   1'(c_0(c_0(c_4(c_0(c_0(c_1(c_2(c_3(c_0(c_1(c_4(c_1(c_3(c_0(c_2(c_1(c_4(c_0(c_0(x1)))))))))))))))))))) -> 4'(1'(2'(4'(1'(3'(3'(4'(3'(3'(3'(1'(2'(2'(4'(1'(0'(3'(3'(1'(x1)))))))))))))))))))) [1]
   1'(c_1(c_0(c_2(c_4(c_4(c_4(c_1(c_2(c_4(c_4(c_1(c_0(c_4(c_2(c_2(c_1(c_3(c_0(c_3(x1)))))))))))))))))))) -> 2'(1'(1'(1'(1'(3'(3'(4'(3'(1'(1'(4'(4'(2'(1'(3'(1'(0'(0'(3'(x1)))))))))))))))))))) [1]
   3'(c_0(c_3(c_3(c_3(c_4(c_2(c_1(c_4(c_2(c_2(c_3(c_2(c_0(c_4(c_4(c_4(c_1(c_1(c_1(x1)))))))))))))))))))) -> 1'(4'(3'(4'(2'(2'(4'(3'(2'(0'(1'(4'(1'(1'(3'(1'(2'(1'(1'(3'(x1)))))))))))))))))))) [1]
   1'(c_4(c_1(c_3(c_0(c_1(c_1(c_1(c_1(c_0(c_4(c_0(c_0(c_3(c_0(c_3(c_2(c_4(c_3(c_4(x1)))))))))))))))))))) -> 1'(4'(4'(0'(4'(0'(0'(2'(4'(0'(4'(3'(2'(1'(2'(4'(2'(4'(3'(1'(x1)))))))))))))))))))) [1]
   3'(c_1(c_0(c_0(c_1(c_0(c_4(c_4(c_1(c_0(c_1(c_2(c_4(c_0(c_2(c_1(c_3(c_0(c_2(c_0(x1)))))))))))))))))))) -> 4'(4'(3'(2'(4'(2'(1'(2'(0'(0'(1'(4'(2'(3'(0'(0'(1'(0'(1'(4'(x1)))))))))))))))))))) [1]
   0'(c_4(c_4(c_4(c_0(c_2(c_2(c_1(c_3(c_2(c_1(c_0(c_4(c_1(c_3(c_0(c_1(c_3(c_4(c_4(x1)))))))))))))))))))) -> 3'(2'(3'(0'(1'(2'(2'(3'(1'(4'(0'(4'(1'(1'(1'(4'(2'(2'(1'(1'(x1)))))))))))))))))))) [1]
   0'(c_1(c_4(c_2(c_3(c_1(c_1(c_2(c_3(c_2(c_3(c_1(c_0(c_1(c_0(c_2(c_0(c_2(c_3(c_2(x1)))))))))))))))))))) -> 3'(1'(3'(2'(0'(4'(1'(3'(2'(1'(0'(4'(0'(4'(4'(3'(2'(1'(4'(3'(x1)))))))))))))))))))) [1]
   3'(c_0(c_3(c_0(c_4(c_1(c_3(c_1(c_1(c_0(c_4(c_1(c_2(c_3(c_4(c_1(c_1(c_0(c_1(c_4(x1)))))))))))))))))))) -> 2'(0'(1'(2'(4'(3'(2'(1'(4'(2'(4'(0'(3'(2'(4'(2'(3'(1'(4'(1'(x1)))))))))))))))))))) [1]
   0'(c_3(c_0(c_0(c_1(c_1(c_4(c_3(c_4(c_3(c_0(c_4(c_2(c_1(c_4(c_3(c_4(c_2(c_1(c_2(x1)))))))))))))))))))) -> 1'(4'(0'(1'(2'(2'(2'(3'(4'(4'(2'(4'(2'(2'(1'(3'(1'(4'(2'(4'(x1)))))))))))))))))))) [1]
   4'(c_1(c_3(c_2(c_2(c_4(c_4(c_2(c_0(c_0(c_3(c_2(c_3(c_1(c_1(c_3(c_2(c_3(c_3(c_1(x1)))))))))))))))))))) -> 3'(2'(1'(2'(1'(3'(2'(1'(3'(2'(3'(2'(1'(1'(2'(1'(2'(3'(4'(3'(x1)))))))))))))))))))) [1]
   4'(c_0(c_3(c_0(c_3(c_1(c_1(c_2(c_0(c_4(c_3(c_0(c_4(c_3(c_1(c_0(c_0(c_4(c_2(c_4(x1)))))))))))))))))))) -> 2'(4'(4'(4'(4'(2'(2'(2'(2'(4'(3'(2'(2'(3'(4'(1'(2'(0'(1'(3'(x1)))))))))))))))))))) [1]
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   0'(c_4(c_4(c_3(c_2(c_0(c_4(c_1(c_0(c_4(c_3(c_1(c_1(c_0(c_2(c_1(c_1(c_3(c_2(c_1(x1)))))))))))))))))))) -> 2'(1'(2'(2'(1'(2'(3'(2'(1'(2'(4'(2'(4'(2'(3'(2'(3'(4'(4'(1'(x1)))))))))))))))))))) [1]
   2'(c_3(c_3(c_3(c_4(c_0(c_4(c_1(c_0(c_2(c_2(c_4(c_2(c_4(c_1(c_1(c_3(c_3(c_4(c_1(x1)))))))))))))))))))) -> 4'(2'(1'(4'(1'(0'(3'(1'(4'(4'(3'(3'(0'(1'(3'(1'(2'(4'(3'(0'(x1)))))))))))))))))))) [1]
   4'(c_0(c_2(c_1(c_3(c_3(c_4(c_4(c_0(c_0(c_0(c_3(c_2(c_3(c_4(c_4(c_4(c_3(c_2(c_3(x1)))))))))))))))))))) -> 4'(0'(2'(1'(4'(0'(2'(0'(0'(4'(0'(4'(1'(0'(2'(3'(4'(4'(1'(2'(x1)))))))))))))))))))) [1]
   3'(c_4(c_0(c_0(c_4(c_1(c_4(c_1(c_1(c_0(c_1(c_0(c_1(c_2(c_1(c_3(c_2(c_2(c_3(c_4(x1)))))))))))))))))))) -> 1'(3'(4'(2'(1'(3'(0'(1'(4'(3'(1'(3'(4'(0'(4'(1'(2'(4'(0'(2'(x1)))))))))))))))))))) [1]
   0'(c_2(c_4(c_3(c_1(c_4(c_0(c_3(c_3(c_4(c_4(c_2(c_2(c_4(c_4(c_0(c_4(c_1(c_0(c_0(x1)))))))))))))))))))) -> 4'(2'(1'(0'(1'(3'(3'(4'(0'(0'(2'(3'(3'(4'(3'(1'(4'(1'(0'(4'(x1)))))))))))))))))))) [1]
   4'(c_1(c_1(c_0(c_3(c_0(c_1(c_3(c_0(c_4(c_4(c_2(c_1(c_2(c_4(c_2(c_0(c_0(c_3(c_0(x1)))))))))))))))))))) -> 2'(3'(2'(0'(1'(4'(4'(4'(3'(2'(3'(3'(1'(4'(3'(4'(2'(0'(1'(3'(x1)))))))))))))))))))) [1]
   1'(c_0(c_1(c_1(c_3(c_3(c_0(c_2(c_0(c_2(c_2(c_1(c_0(c_4(c_1(c_0(c_4(c_3(c_1(c_4(x1)))))))))))))))))))) -> 1'(2'(4'(1'(0'(0'(0'(1'(4'(2'(0'(0'(4'(4'(4'(1'(4'(3'(1'(4'(x1)))))))))))))))))))) [1]
   3'(c_2(c_2(c_3(c_3(c_0(c_0(c_4(c_4(c_0(c_4(c_4(c_4(c_2(c_3(c_3(c_1(c_1(c_2(c_1(x1)))))))))))))))))))) -> 3'(0'(3'(4'(4'(4'(4'(1'(4'(3'(3'(0'(0'(2'(3'(2'(1'(2'(2'(1'(x1)))))))))))))))))))) [1]
   0'(c_1(c_4(c_0(c_3(c_1(c_3(c_3(c_0(c_3(c_1(c_4(c_4(c_1(c_1(c_1(c_4(c_0(c_4(c_0(x1)))))))))))))))))))) -> 3'(2'(0'(3'(2'(4'(3'(4'(4'(2'(1'(0'(1'(4'(1'(3'(1'(4'(4'(4'(x1)))))))))))))))))))) [1]
   3'(c_2(c_4(c_0(c_0(c_2(c_4(c_0(c_4(c_3(c_4(c_2(c_1(c_1(c_2(c_4(c_3(c_3(c_2(c_1(x1)))))))))))))))))))) -> 0'(3'(3'(4'(3'(1'(4'(2'(4'(3'(2'(1'(4'(1'(4'(0'(3'(1'(4'(2'(x1)))))))))))))))))))) [1]
   0'(c_2(c_3(c_4(c_2(c_2(c_4(c_4(c_1(c_0(c_3(c_2(c_2(c_4(c_2(c_2(c_3(c_1(c_1(c_4(x1)))))))))))))))))))) -> 1'(3'(1'(4'(0'(3'(1'(1'(4'(3'(3'(2'(2'(1'(2'(0'(2'(0'(3'(4'(x1)))))))))))))))))))) [1]
   4'(c_3(c_3(c_2(c_2(c_1(c_3(c_4(c_4(c_2(c_4(c_2(c_3(c_0(c_0(c_2(c_2(c_3(c_2(c_4(x1)))))))))))))))))))) -> 3'(2'(2'(1'(1'(0'(2'(2'(4'(0'(0'(0'(2'(1'(3'(1'(0'(4'(3'(4'(x1)))))))))))))))))))) [1]
   2'(c_0(c_1(c_4(c_4(c_3(c_3(c_4(c_2(c_3(c_1(c_3(c_1(c_1(c_3(c_0(c_4(c_1(c_3(c_2(x1)))))))))))))))))))) -> 2'(1'(4'(3'(1'(0'(3'(1'(4'(4'(4'(2'(2'(0'(0'(4'(2'(0'(2'(2'(x1)))))))))))))))))))) [1]
   0'(c_1(c_4(c_1(c_3(c_1(c_0(c_2(c_4(c_1(c_3(c_0(c_4(c_3(c_1(c_3(c_1(c_1(c_1(c_0(x1)))))))))))))))))))) -> 3'(2'(1'(1'(4'(1'(2'(1'(4'(0'(2'(1'(1'(4'(4'(0'(1'(2'(2'(1'(x1)))))))))))))))))))) [1]
   1'(c_2(c_0(c_3(c_1(c_0(c_2(c_0(c_4(c_1(c_4(c_4(c_2(c_4(c_0(c_4(c_3(c_4(c_4(c_3(x1)))))))))))))))))))) -> 2'(1'(4'(4'(4'(1'(4'(1'(1'(2'(4'(1'(1'(2'(2'(1'(1'(0'(0'(0'(x1)))))))))))))))))))) [1]
   2'(c_2(c_4(c_1(c_0(c_3(c_0(c_4(c_2(c_4(c_3(c_3(c_4(c_3(c_3(c_1(c_0(c_1(c_0(c_0(x1)))))))))))))))))))) -> 0'(4'(3'(4'(1'(0'(3'(4'(4'(4'(3'(0'(4'(0'(1'(2'(1'(3'(1'(4'(x1)))))))))))))))))))) [1]
   3'(c_0(c_2(c_2(c_1(c_0(c_0(c_0(c_0(c_0(c_3(c_1(c_0(c_0(c_4(c_3(c_4(c_2(c_2(c_0(x1)))))))))))))))))))) -> 3'(2'(2'(0'(0'(2'(2'(4'(0'(4'(3'(4'(3'(0'(2'(2'(3'(2'(1'(0'(x1)))))))))))))))))))) [1]
   3'(c_0(c_3(c_0(c_0(c_1(c_3(c_2(c_4(c_4(c_4(c_0(c_3(c_0(c_1(c_4(c_1(c_2(c_4(c_3(x1)))))))))))))))))))) -> 2'(2'(3'(2'(1'(0'(2'(0'(0'(2'(0'(4'(0'(4'(0'(4'(3'(2'(2'(3'(x1)))))))))))))))))))) [1]
   3'(c_4(c_4(c_0(c_0(c_0(c_0(c_3(c_2(c_2(c_2(c_1(c_4(c_4(c_4(c_1(c_2(c_4(c_0(c_3(x1)))))))))))))))))))) -> 1'(1'(4'(0'(0'(2'(0'(1'(2'(2'(2'(2'(0'(1'(3'(1'(0'(2'(0'(0'(x1)))))))))))))))))))) [1]
   0'(c_1(c_3(c_0(c_2(c_4(c_3(c_0(c_3(c_1(c_0(c_2(c_4(c_2(c_2(c_0(c_3(c_4(c_1(c_1(x1)))))))))))))))))))) -> 4'(0'(2'(4'(3'(1'(3'(1'(0'(2'(3'(3'(2'(1'(0'(4'(4'(1'(2'(1'(x1)))))))))))))))))))) [1]
   4'(c_1(c_0(c_2(c_0(c_3(c_2(c_1(c_1(c_3(c_1(c_1(c_0(c_1(c_1(c_2(c_0(c_0(c_4(c_4(x1)))))))))))))))))))) -> 2'(1'(4'(2'(2'(2'(2'(2'(2'(2'(0'(1'(0'(3'(1'(0'(1'(1'(4'(0'(x1)))))))))))))))))))) [1]
   3'(c_0(c_1(c_4(c_2(c_2(c_1(c_1(c_2(c_4(c_4(c_1(c_1(c_1(c_3(c_1(c_1(c_3(c_3(c_3(x1)))))))))))))))))))) -> 3'(3'(4'(2'(1'(1'(3'(1'(2'(1'(2'(2'(1'(3'(4'(1'(4'(2'(4'(2'(x1)))))))))))))))))))) [1]
   3'(c_1(c_4(c_4(c_1(c_4(c_3(c_4(c_0(c_3(c_0(c_2(c_0(c_3(c_2(c_1(c_2(c_3(c_2(c_4(x1)))))))))))))))))))) -> 2'(0'(3'(1'(2'(3'(1'(2'(1'(2'(1'(3'(3'(4'(2'(0'(0'(2'(2'(1'(x1)))))))))))))))))))) [1]
   2'(c_3(c_4(c_4(c_0(c_0(c_4(c_4(c_4(c_3(c_3(c_0(c_4(c_2(c_2(c_3(c_0(c_0(c_1(c_3(x1)))))))))))))))))))) -> 0'(2'(0'(4'(3'(3'(2'(1'(4'(4'(1'(2'(0'(1'(2'(4'(3'(3'(4'(1'(x1)))))))))))))))))))) [1]
   4'(c_1(c_1(c_1(c_2(c_2(c_3(c_3(c_3(c_4(c_4(c_0(c_2(c_0(c_2(c_1(c_0(c_1(c_0(c_0(x1)))))))))))))))))))) -> 1'(1'(0'(3'(4'(0'(2'(3'(1'(4'(2'(4'(1'(0'(4'(0'(3'(1'(1'(4'(x1)))))))))))))))))))) [1]
   0'(c_2(c_1(c_2(c_1(c_0(c_2(c_3(c_0(c_0(c_4(c_2(c_3(c_1(c_4(c_0(c_3(c_1(c_3(c_1(x1)))))))))))))))))))) -> 3'(1'(2'(3'(4'(3'(0'(2'(2'(2'(1'(2'(2'(3'(4'(2'(1'(4'(3'(1'(x1)))))))))))))))))))) [1]
   1'(c_4(c_2(c_3(c_1(c_4(c_2(c_2(c_0(c_4(c_2(c_3(c_0(c_1(c_3(c_2(c_1(c_3(c_3(c_4(x1)))))))))))))))))))) -> 1'(4'(1'(3'(4'(3'(0'(1'(4'(0'(2'(1'(0'(1'(1'(0'(3'(1'(2'(2'(x1)))))))))))))))))))) [1]
   4'(c_4(c_1(c_1(c_2(c_0(c_1(c_0(c_2(c_2(c_1(c_0(c_0(c_1(c_0(c_0(c_1(c_1(c_3(c_2(x1)))))))))))))))))))) -> 3'(1'(4'(1'(4'(4'(3'(1'(2'(3'(3'(2'(1'(3'(3'(1'(1'(3'(2'(4'(x1)))))))))))))))))))) [1]
   2'(c_3(c_1(c_3(c_2(c_1(c_4(c_1(c_0(c_2(c_4(c_2(c_0(c_0(c_2(c_3(c_4(c_4(c_3(c_2(x1)))))))))))))))))))) -> 4'(1'(1'(4'(3'(2'(3'(1'(4'(1'(4'(4'(1'(3'(1'(2'(3'(4'(4'(1'(x1)))))))))))))))))))) [1]
   2'(c_3(c_2(c_4(c_2(c_1(c_0(c_0(c_2(c_4(c_3(c_4(c_1(c_1(c_3(c_2(c_4(c_2(c_1(c_2(x1)))))))))))))))))))) -> 2'(3'(2'(1'(1'(0'(2'(0'(1'(1'(3'(2'(1'(4'(3'(1'(1'(0'(3'(1'(x1)))))))))))))))))))) [1]
   4'(c_4(c_3(c_4(c_4(c_2(c_4(c_1(c_1(c_0(c_2(c_3(c_1(c_0(c_3(c_1(c_2(c_2(c_4(c_0(x1)))))))))))))))))))) -> 1'(2'(1'(1'(1'(2'(4'(1'(4'(3'(1'(4'(1'(4'(3'(2'(0'(4'(2'(2'(x1)))))))))))))))))))) [1]
   2'(c_0(c_2(c_2(c_1(c_3(c_3(c_2(c_4(c_0(c_1(c_0(c_3(c_1(c_4(c_0(c_0(c_0(c_1(c_3(x1)))))))))))))))))))) -> 1'(3'(4'(2'(0'(1'(1'(3'(1'(3'(4'(4'(2'(3'(1'(0'(1'(3'(1'(3'(x1)))))))))))))))))))) [1]
   3'(c_3(c_3(c_4(c_2(c_3(c_3(c_0(c_1(c_3(c_4(c_4(c_4(c_0(c_4(c_2(c_2(c_4(c_0(c_2(x1)))))))))))))))))))) -> 3'(4'(3'(4'(1'(3'(4'(2'(2'(2'(2'(0'(4'(1'(3'(3'(1'(1'(4'(4'(x1)))))))))))))))))))) [1]
   4'(c_0(c_4(c_3(c_0(c_0(c_2(c_1(c_2(c_2(c_0(c_3(c_0(c_3(c_1(c_1(c_1(c_3(c_3(c_3(x1)))))))))))))))))))) -> 4'(1'(2'(1'(1'(2'(2'(1'(1'(2'(0'(1'(0'(2'(4'(4'(1'(1'(1'(0'(x1)))))))))))))))))))) [1]
   encArg(cons_0(x_1)) -> 0'(encArg(x_1)) [0]
   encArg(cons_1(x_1)) -> 1'(encArg(x_1)) [0]
   encArg(cons_2(x_1)) -> 2'(encArg(x_1)) [0]
   encArg(cons_3(x_1)) -> 3'(encArg(x_1)) [0]
   encArg(cons_4(x_1)) -> 4'(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]
   encode_3(x_1) -> 3'(encArg(x_1)) [0]
   encode_4(x_1) -> 4'(encArg(x_1)) [0]
   0'(x0) -> c_0(x0) [0]
   1'(x0) -> c_1(x0) [0]
   2'(x0) -> c_2(x0) [0]
   3'(x0) -> c_3(x0) [0]
   4'(x0) -> c_4(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:

   1'(c_0(c_0(c_4(c_0(c_0(c_1(c_2(c_3(c_0(c_1(c_4(c_1(c_3(c_0(c_2(c_1(c_4(c_0(c_0(x1)))))))))))))))))))) -> 4'(1'(2'(4'(1'(3'(3'(4'(3'(3'(3'(1'(2'(2'(4'(1'(0'(3'(3'(1'(x1)))))))))))))))))))) [1]
   1'(c_1(c_0(c_2(c_4(c_4(c_4(c_1(c_2(c_4(c_4(c_1(c_0(c_4(c_2(c_2(c_1(c_3(c_0(c_3(x1)))))))))))))))))))) -> 2'(1'(1'(1'(1'(3'(3'(4'(3'(1'(1'(4'(4'(2'(1'(3'(1'(0'(0'(3'(x1)))))))))))))))))))) [1]
   3'(c_0(c_3(c_3(c_3(c_4(c_2(c_1(c_4(c_2(c_2(c_3(c_2(c_0(c_4(c_4(c_4(c_1(c_1(c_1(x1)))))))))))))))))))) -> 1'(4'(3'(4'(2'(2'(4'(3'(2'(0'(1'(4'(1'(1'(3'(1'(2'(1'(1'(3'(x1)))))))))))))))))))) [1]
   1'(c_4(c_1(c_3(c_0(c_1(c_1(c_1(c_1(c_0(c_4(c_0(c_0(c_3(c_0(c_3(c_2(c_4(c_3(c_4(x1)))))))))))))))))))) -> 1'(4'(4'(0'(4'(0'(0'(2'(4'(0'(4'(3'(2'(1'(2'(4'(2'(4'(3'(1'(x1)))))))))))))))))))) [1]
   3'(c_1(c_0(c_0(c_1(c_0(c_4(c_4(c_1(c_0(c_1(c_2(c_4(c_0(c_2(c_1(c_3(c_0(c_2(c_0(x1)))))))))))))))))))) -> 4'(4'(3'(2'(4'(2'(1'(2'(0'(0'(1'(4'(2'(3'(0'(0'(1'(0'(1'(4'(x1)))))))))))))))))))) [1]
   0'(c_4(c_4(c_4(c_0(c_2(c_2(c_1(c_3(c_2(c_1(c_0(c_4(c_1(c_3(c_0(c_1(c_3(c_4(c_4(x1)))))))))))))))))))) -> 3'(2'(3'(0'(1'(2'(2'(3'(1'(4'(0'(4'(1'(1'(1'(4'(2'(2'(1'(1'(x1)))))))))))))))))))) [1]
   0'(c_1(c_4(c_2(c_3(c_1(c_1(c_2(c_3(c_2(c_3(c_1(c_0(c_1(c_0(c_2(c_0(c_2(c_3(c_2(x1)))))))))))))))))))) -> 3'(1'(3'(2'(0'(4'(1'(3'(2'(1'(0'(4'(0'(4'(4'(3'(2'(1'(4'(3'(x1)))))))))))))))))))) [1]
   3'(c_0(c_3(c_0(c_4(c_1(c_3(c_1(c_1(c_0(c_4(c_1(c_2(c_3(c_4(c_1(c_1(c_0(c_1(c_4(x1)))))))))))))))))))) -> 2'(0'(1'(2'(4'(3'(2'(1'(4'(2'(4'(0'(3'(2'(4'(2'(3'(1'(4'(1'(x1)))))))))))))))))))) [1]
   0'(c_3(c_0(c_0(c_1(c_1(c_4(c_3(c_4(c_3(c_0(c_4(c_2(c_1(c_4(c_3(c_4(c_2(c_1(c_2(x1)))))))))))))))))))) -> 1'(4'(0'(1'(2'(2'(2'(3'(4'(4'(2'(4'(2'(2'(1'(3'(1'(4'(2'(4'(x1)))))))))))))))))))) [1]
   4'(c_1(c_3(c_2(c_2(c_4(c_4(c_2(c_0(c_0(c_3(c_2(c_3(c_1(c_1(c_3(c_2(c_3(c_3(c_1(x1)))))))))))))))))))) -> 3'(2'(1'(2'(1'(3'(2'(1'(3'(2'(3'(2'(1'(1'(2'(1'(2'(3'(4'(3'(x1)))))))))))))))))))) [1]
   4'(c_0(c_3(c_0(c_3(c_1(c_1(c_2(c_0(c_4(c_3(c_0(c_4(c_3(c_1(c_0(c_0(c_4(c_2(c_4(x1)))))))))))))))))))) -> 2'(4'(4'(4'(4'(2'(2'(2'(2'(4'(3'(2'(2'(3'(4'(1'(2'(0'(1'(3'(x1)))))))))))))))))))) [1]
   0'(c_0(c_0(c_0(c_1(c_0(c_2(c_2(c_3(c_2(c_1(c_1(c_0(c_3(c_2(c_1(c_1(c_1(c_2(c_4(x1)))))))))))))))))))) -> 0'(3'(2'(3'(3'(2'(1'(4'(2'(2'(2'(1'(0'(0'(2'(0'(1'(2'(2'(4'(x1)))))))))))))))))))) [1]
   4'(c_3(c_4(c_3(c_4(c_4(c_3(c_0(c_3(c_3(c_2(c_2(c_3(c_1(c_3(c_2(c_2(c_3(c_4(c_1(x1)))))))))))))))))))) -> 4'(1'(0'(0'(4'(3'(4'(1'(2'(4'(3'(3'(2'(1'(3'(4'(1'(0'(3'(1'(x1)))))))))))))))))))) [1]
   0'(c_2(c_1(c_4(c_2(c_4(c_3(c_4(c_0(c_0(c_3(c_0(c_2(c_4(c_1(c_4(c_4(c_0(c_1(c_1(x1)))))))))))))))))))) -> 4'(4'(3'(3'(1'(4'(0'(3'(2'(3'(3'(1'(4'(0'(1'(2'(1'(4'(1'(0'(x1)))))))))))))))))))) [1]
   2'(c_1(c_3(c_3(c_4(c_1(c_4(c_0(c_4(c_0(c_3(c_0(c_0(c_2(c_4(c_1(c_4(c_0(c_0(c_3(x1)))))))))))))))))))) -> 1'(0'(0'(4'(3'(3'(0'(3'(2'(2'(4'(3'(2'(2'(1'(1'(3'(1'(4'(1'(x1)))))))))))))))))))) [1]
   4'(c_4(c_0(c_4(c_4(c_1(c_0(c_3(c_3(c_2(c_0(c_3(c_0(c_1(c_3(c_0(c_3(c_1(c_3(c_3(x1)))))))))))))))))))) -> 2'(1'(0'(3'(1'(3'(1'(4'(3'(3'(0'(0'(1'(4'(4'(1'(2'(2'(3'(0'(x1)))))))))))))))))))) [1]
   2'(c_4(c_2(c_3(c_0(c_2(c_3(c_2(c_2(c_3(c_2(c_1(c_0(c_3(c_4(c_1(c_3(c_1(c_0(c_1(x1)))))))))))))))))))) -> 1'(3'(0'(4'(4'(1'(3'(2'(1'(0'(2'(4'(1'(0'(2'(2'(0'(4'(4'(1'(x1)))))))))))))))))))) [1]
   2'(c_2(c_2(c_0(c_0(c_0(c_3(c_4(c_4(c_0(c_2(c_1(c_2(c_0(c_0(c_2(c_0(c_3(c_0(c_0(x1)))))))))))))))))))) -> 4'(2'(3'(4'(0'(4'(2'(1'(0'(3'(1'(1'(1'(3'(0'(0'(3'(1'(2'(0'(x1)))))))))))))))))))) [1]
   3'(c_3(c_0(c_3(c_0(c_4(c_2(c_0(c_1(c_3(c_3(c_4(c_1(c_0(c_3(c_2(c_2(c_1(c_1(c_1(x1)))))))))))))))))))) -> 4'(0'(1'(3'(1'(2'(1'(0'(1'(1'(2'(3'(0'(4'(3'(3'(1'(3'(0'(1'(x1)))))))))))))))))))) [1]
   4'(c_2(c_1(c_2(c_1(c_1(c_2(c_3(c_4(c_2(c_3(c_2(c_1(c_4(c_2(c_2(c_4(c_0(c_3(c_0(x1)))))))))))))))))))) -> 3'(1'(0'(2'(1'(3'(1'(2'(1'(0'(2'(1'(1'(3'(1'(0'(4'(0'(3'(4'(x1)))))))))))))))))))) [1]
   1'(c_4(c_2(c_4(c_4(c_3(c_3(c_4(c_3(c_3(c_4(c_1(c_4(c_1(c_2(c_3(c_4(c_1(c_1(c_2(x1)))))))))))))))))))) -> 3'(2'(2'(0'(3'(0'(2'(2'(1'(2'(1'(0'(3'(4'(1'(3'(1'(2'(1'(2'(x1)))))))))))))))))))) [1]
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   0'(c_2(c_3(c_4(c_2(c_2(c_4(c_4(c_1(c_0(c_3(c_2(c_2(c_4(c_2(c_2(c_3(c_1(c_1(c_4(x1)))))))))))))))))))) -> 1'(3'(1'(4'(0'(3'(1'(1'(4'(3'(3'(2'(2'(1'(2'(0'(2'(0'(3'(4'(x1)))))))))))))))))))) [1]
   4'(c_3(c_3(c_2(c_2(c_1(c_3(c_4(c_4(c_2(c_4(c_2(c_3(c_0(c_0(c_2(c_2(c_3(c_2(c_4(x1)))))))))))))))))))) -> 3'(2'(2'(1'(1'(0'(2'(2'(4'(0'(0'(0'(2'(1'(3'(1'(0'(4'(3'(4'(x1)))))))))))))))))))) [1]
   2'(c_0(c_1(c_4(c_4(c_3(c_3(c_4(c_2(c_3(c_1(c_3(c_1(c_1(c_3(c_0(c_4(c_1(c_3(c_2(x1)))))))))))))))))))) -> 2'(1'(4'(3'(1'(0'(3'(1'(4'(4'(4'(2'(2'(0'(0'(4'(2'(0'(2'(2'(x1)))))))))))))))))))) [1]
   0'(c_1(c_4(c_1(c_3(c_1(c_0(c_2(c_4(c_1(c_3(c_0(c_4(c_3(c_1(c_3(c_1(c_1(c_1(c_0(x1)))))))))))))))))))) -> 3'(2'(1'(1'(4'(1'(2'(1'(4'(0'(2'(1'(1'(4'(4'(0'(1'(2'(2'(1'(x1)))))))))))))))))))) [1]
   1'(c_2(c_0(c_3(c_1(c_0(c_2(c_0(c_4(c_1(c_4(c_4(c_2(c_4(c_0(c_4(c_3(c_4(c_4(c_3(x1)))))))))))))))))))) -> 2'(1'(4'(4'(4'(1'(4'(1'(1'(2'(4'(1'(1'(2'(2'(1'(1'(0'(0'(0'(x1)))))))))))))))))))) [1]
   2'(c_2(c_4(c_1(c_0(c_3(c_0(c_4(c_2(c_4(c_3(c_3(c_4(c_3(c_3(c_1(c_0(c_1(c_0(c_0(x1)))))))))))))))))))) -> 0'(4'(3'(4'(1'(0'(3'(4'(4'(4'(3'(0'(4'(0'(1'(2'(1'(3'(1'(4'(x1)))))))))))))))))))) [1]
   3'(c_0(c_2(c_2(c_1(c_0(c_0(c_0(c_0(c_0(c_3(c_1(c_0(c_0(c_4(c_3(c_4(c_2(c_2(c_0(x1)))))))))))))))))))) -> 3'(2'(2'(0'(0'(2'(2'(4'(0'(4'(3'(4'(3'(0'(2'(2'(3'(2'(1'(0'(x1)))))))))))))))))))) [1]
   3'(c_0(c_3(c_0(c_0(c_1(c_3(c_2(c_4(c_4(c_4(c_0(c_3(c_0(c_1(c_4(c_1(c_2(c_4(c_3(x1)))))))))))))))))))) -> 2'(2'(3'(2'(1'(0'(2'(0'(0'(2'(0'(4'(0'(4'(0'(4'(3'(2'(2'(3'(x1)))))))))))))))))))) [1]
   3'(c_4(c_4(c_0(c_0(c_0(c_0(c_3(c_2(c_2(c_2(c_1(c_4(c_4(c_4(c_1(c_2(c_4(c_0(c_3(x1)))))))))))))))))))) -> 1'(1'(4'(0'(0'(2'(0'(1'(2'(2'(2'(2'(0'(1'(3'(1'(0'(2'(0'(0'(x1)))))))))))))))))))) [1]
   0'(c_1(c_3(c_0(c_2(c_4(c_3(c_0(c_3(c_1(c_0(c_2(c_4(c_2(c_2(c_0(c_3(c_4(c_1(c_1(x1)))))))))))))))))))) -> 4'(0'(2'(4'(3'(1'(3'(1'(0'(2'(3'(3'(2'(1'(0'(4'(4'(1'(2'(1'(x1)))))))))))))))))))) [1]
   4'(c_1(c_0(c_2(c_0(c_3(c_2(c_1(c_1(c_3(c_1(c_1(c_0(c_1(c_1(c_2(c_0(c_0(c_4(c_4(x1)))))))))))))))))))) -> 2'(1'(4'(2'(2'(2'(2'(2'(2'(2'(0'(1'(0'(3'(1'(0'(1'(1'(4'(0'(x1)))))))))))))))))))) [1]
   3'(c_0(c_1(c_4(c_2(c_2(c_1(c_1(c_2(c_4(c_4(c_1(c_1(c_1(c_3(c_1(c_1(c_3(c_3(c_3(x1)))))))))))))))))))) -> 3'(3'(4'(2'(1'(1'(3'(1'(2'(1'(2'(2'(1'(3'(4'(1'(4'(2'(4'(2'(x1)))))))))))))))))))) [1]
   3'(c_1(c_4(c_4(c_1(c_4(c_3(c_4(c_0(c_3(c_0(c_2(c_0(c_3(c_2(c_1(c_2(c_3(c_2(c_4(x1)))))))))))))))))))) -> 2'(0'(3'(1'(2'(3'(1'(2'(1'(2'(1'(3'(3'(4'(2'(0'(0'(2'(2'(1'(x1)))))))))))))))))))) [1]
   2'(c_3(c_4(c_4(c_0(c_0(c_4(c_4(c_4(c_3(c_3(c_0(c_4(c_2(c_2(c_3(c_0(c_0(c_1(c_3(x1)))))))))))))))))))) -> 0'(2'(0'(4'(3'(3'(2'(1'(4'(4'(1'(2'(0'(1'(2'(4'(3'(3'(4'(1'(x1)))))))))))))))))))) [1]
   4'(c_1(c_1(c_1(c_2(c_2(c_3(c_3(c_3(c_4(c_4(c_0(c_2(c_0(c_2(c_1(c_0(c_1(c_0(c_0(x1)))))))))))))))))))) -> 1'(1'(0'(3'(4'(0'(2'(3'(1'(4'(2'(4'(1'(0'(4'(0'(3'(1'(1'(4'(x1)))))))))))))))))))) [1]
   0'(c_2(c_1(c_2(c_1(c_0(c_2(c_3(c_0(c_0(c_4(c_2(c_3(c_1(c_4(c_0(c_3(c_1(c_3(c_1(x1)))))))))))))))))))) -> 3'(1'(2'(3'(4'(3'(0'(2'(2'(2'(1'(2'(2'(3'(4'(2'(1'(4'(3'(1'(x1)))))))))))))))))))) [1]
   1'(c_4(c_2(c_3(c_1(c_4(c_2(c_2(c_0(c_4(c_2(c_3(c_0(c_1(c_3(c_2(c_1(c_3(c_3(c_4(x1)))))))))))))))))))) -> 1'(4'(1'(3'(4'(3'(0'(1'(4'(0'(2'(1'(0'(1'(1'(0'(3'(1'(2'(2'(x1)))))))))))))))))))) [1]
   4'(c_4(c_1(c_1(c_2(c_0(c_1(c_0(c_2(c_2(c_1(c_0(c_0(c_1(c_0(c_0(c_1(c_1(c_3(c_2(x1)))))))))))))))))))) -> 3'(1'(4'(1'(4'(4'(3'(1'(2'(3'(3'(2'(1'(3'(3'(1'(1'(3'(2'(4'(x1)))))))))))))))))))) [1]
   2'(c_3(c_1(c_3(c_2(c_1(c_4(c_1(c_0(c_2(c_4(c_2(c_0(c_0(c_2(c_3(c_4(c_4(c_3(c_2(x1)))))))))))))))))))) -> 4'(1'(1'(4'(3'(2'(3'(1'(4'(1'(4'(4'(1'(3'(1'(2'(3'(4'(4'(1'(x1)))))))))))))))))))) [1]
   2'(c_3(c_2(c_4(c_2(c_1(c_0(c_0(c_2(c_4(c_3(c_4(c_1(c_1(c_3(c_2(c_4(c_2(c_1(c_2(x1)))))))))))))))))))) -> 2'(3'(2'(1'(1'(0'(2'(0'(1'(1'(3'(2'(1'(4'(3'(1'(1'(0'(3'(1'(x1)))))))))))))))))))) [1]
   4'(c_4(c_3(c_4(c_4(c_2(c_4(c_1(c_1(c_0(c_2(c_3(c_1(c_0(c_3(c_1(c_2(c_2(c_4(c_0(x1)))))))))))))))))))) -> 1'(2'(1'(1'(1'(2'(4'(1'(4'(3'(1'(4'(1'(4'(3'(2'(0'(4'(2'(2'(x1)))))))))))))))))))) [1]
   2'(c_0(c_2(c_2(c_1(c_3(c_3(c_2(c_4(c_0(c_1(c_0(c_3(c_1(c_4(c_0(c_0(c_0(c_1(c_3(x1)))))))))))))))))))) -> 1'(3'(4'(2'(0'(1'(1'(3'(1'(3'(4'(4'(2'(3'(1'(0'(1'(3'(1'(3'(x1)))))))))))))))))))) [1]
   3'(c_3(c_3(c_4(c_2(c_3(c_3(c_0(c_1(c_3(c_4(c_4(c_4(c_0(c_4(c_2(c_2(c_4(c_0(c_2(x1)))))))))))))))))))) -> 3'(4'(3'(4'(1'(3'(4'(2'(2'(2'(2'(0'(4'(1'(3'(3'(1'(1'(4'(4'(x1)))))))))))))))))))) [1]
   4'(c_0(c_4(c_3(c_0(c_0(c_2(c_1(c_2(c_2(c_0(c_3(c_0(c_3(c_1(c_1(c_1(c_3(c_3(c_3(x1)))))))))))))))))))) -> 4'(1'(2'(1'(1'(2'(2'(1'(1'(2'(0'(1'(0'(2'(4'(4'(1'(1'(1'(0'(x1)))))))))))))))))))) [1]
   encArg(cons_0(x_1)) -> 0'(encArg(x_1)) [0]
   encArg(cons_1(x_1)) -> 1'(encArg(x_1)) [0]
   encArg(cons_2(x_1)) -> 2'(encArg(x_1)) [0]
   encArg(cons_3(x_1)) -> 3'(encArg(x_1)) [0]
   encArg(cons_4(x_1)) -> 4'(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]
   encode_3(x_1) -> 3'(encArg(x_1)) [0]
   encode_4(x_1) -> 4'(encArg(x_1)) [0]
   0'(x0) -> c_0(x0) [0]
   1'(x0) -> c_1(x0) [0]
   2'(x0) -> c_2(x0) [0]
   3'(x0) -> c_3(x0) [0]
   4'(x0) -> c_4(x0) [0]

The TRS has the following type information:
1' :: c_0:c_4:c_1:c_2:c_3 -> c_0:c_4:c_1:c_2:c_3
c_0 :: c_0:c_4:c_1:c_2:c_3 -> c_0:c_4:c_1:c_2:c_3
c_4 :: c_0:c_4:c_1:c_2:c_3 -> c_0:c_4:c_1:c_2:c_3
c_1 :: c_0:c_4:c_1:c_2:c_3 -> c_0:c_4:c_1:c_2:c_3
c_2 :: c_0:c_4:c_1:c_2:c_3 -> c_0:c_4:c_1:c_2:c_3
c_3 :: c_0:c_4:c_1:c_2:c_3 -> c_0:c_4:c_1:c_2:c_3
4' :: c_0:c_4:c_1:c_2:c_3 -> c_0:c_4:c_1:c_2:c_3
2' :: c_0:c_4:c_1:c_2:c_3 -> c_0:c_4:c_1:c_2:c_3
3' :: c_0:c_4:c_1:c_2:c_3 -> c_0:c_4:c_1:c_2:c_3
0' :: c_0:c_4:c_1:c_2:c_3 -> c_0:c_4:c_1:c_2:c_3
encArg :: cons_0:cons_1:cons_2:cons_3:cons_4 -> c_0:c_4:c_1:c_2:c_3
cons_0 :: cons_0:cons_1:cons_2:cons_3:cons_4 -> cons_0:cons_1:cons_2:cons_3:cons_4
cons_1 :: cons_0:cons_1:cons_2:cons_3:cons_4 -> cons_0:cons_1:cons_2:cons_3:cons_4
cons_2 :: cons_0:cons_1:cons_2:cons_3:cons_4 -> cons_0:cons_1:cons_2:cons_3:cons_4
cons_3 :: cons_0:cons_1:cons_2:cons_3:cons_4 -> cons_0:cons_1:cons_2:cons_3:cons_4
cons_4 :: cons_0:cons_1:cons_2:cons_3:cons_4 -> cons_0:cons_1:cons_2:cons_3:cons_4
encode_0 :: cons_0:cons_1:cons_2:cons_3:cons_4 -> c_0:c_4:c_1:c_2:c_3
encode_1 :: cons_0:cons_1:cons_2:cons_3:cons_4 -> c_0:c_4:c_1:c_2:c_3
encode_2 :: cons_0:cons_1:cons_2:cons_3:cons_4 -> c_0:c_4:c_1:c_2:c_3
encode_3 :: cons_0:cons_1:cons_2:cons_3:cons_4 -> c_0:c_4:c_1:c_2:c_3
encode_4 :: cons_0:cons_1:cons_2:cons_3:cons_4 -> c_0:c_4:c_1:c_2:c_3

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

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

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

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

(c) The following functions are completely defined:

   encArg_1
   encode_0_1
   encode_1_1
   encode_2_1
   encode_3_1
   encode_4_1
   0'_1
   1'_1
   2'_1
   3'_1
   4'_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]
   encode_3(v0) -> const [0]
   encode_4(v0) -> const [0]
   0'(v0) -> const [0]
   1'(v0) -> const [0]
   2'(v0) -> const [0]
   3'(v0) -> const [0]
   4'(v0) -> const [0]

And the following fresh constants:    const, const1

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

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

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

   1'(c_0(c_0(c_4(c_0(c_0(c_1(c_2(c_3(c_0(c_1(c_4(c_1(c_3(c_0(c_2(c_1(c_4(c_0(c_0(x1)))))))))))))))))))) -> 4'(1'(2'(4'(1'(3'(3'(4'(3'(3'(3'(1'(2'(2'(4'(1'(0'(3'(3'(1'(x1)))))))))))))))))))) [1]
   1'(c_1(c_0(c_2(c_4(c_4(c_4(c_1(c_2(c_4(c_4(c_1(c_0(c_4(c_2(c_2(c_1(c_3(c_0(c_3(x1)))))))))))))))))))) -> 2'(1'(1'(1'(1'(3'(3'(4'(3'(1'(1'(4'(4'(2'(1'(3'(1'(0'(0'(3'(x1)))))))))))))))))))) [1]
   3'(c_0(c_3(c_3(c_3(c_4(c_2(c_1(c_4(c_2(c_2(c_3(c_2(c_0(c_4(c_4(c_4(c_1(c_1(c_1(x1)))))))))))))))))))) -> 1'(4'(3'(4'(2'(2'(4'(3'(2'(0'(1'(4'(1'(1'(3'(1'(2'(1'(1'(3'(x1)))))))))))))))))))) [1]
   1'(c_4(c_1(c_3(c_0(c_1(c_1(c_1(c_1(c_0(c_4(c_0(c_0(c_3(c_0(c_3(c_2(c_4(c_3(c_4(x1)))))))))))))))))))) -> 1'(4'(4'(0'(4'(0'(0'(2'(4'(0'(4'(3'(2'(1'(2'(4'(2'(4'(3'(1'(x1)))))))))))))))))))) [1]
   3'(c_1(c_0(c_0(c_1(c_0(c_4(c_4(c_1(c_0(c_1(c_2(c_4(c_0(c_2(c_1(c_3(c_0(c_2(c_0(x1)))))))))))))))))))) -> 4'(4'(3'(2'(4'(2'(1'(2'(0'(0'(1'(4'(2'(3'(0'(0'(1'(0'(1'(4'(x1)))))))))))))))))))) [1]
   0'(c_4(c_4(c_4(c_0(c_2(c_2(c_1(c_3(c_2(c_1(c_0(c_4(c_1(c_3(c_0(c_1(c_3(c_4(c_4(x1)))))))))))))))))))) -> 3'(2'(3'(0'(1'(2'(2'(3'(1'(4'(0'(4'(1'(1'(1'(4'(2'(2'(1'(1'(x1)))))))))))))))))))) [1]
   0'(c_1(c_4(c_2(c_3(c_1(c_1(c_2(c_3(c_2(c_3(c_1(c_0(c_1(c_0(c_2(c_0(c_2(c_3(c_2(x1)))))))))))))))))))) -> 3'(1'(3'(2'(0'(4'(1'(3'(2'(1'(0'(4'(0'(4'(4'(3'(2'(1'(4'(3'(x1)))))))))))))))))))) [1]
   3'(c_0(c_3(c_0(c_4(c_1(c_3(c_1(c_1(c_0(c_4(c_1(c_2(c_3(c_4(c_1(c_1(c_0(c_1(c_4(x1)))))))))))))))))))) -> 2'(0'(1'(2'(4'(3'(2'(1'(4'(2'(4'(0'(3'(2'(4'(2'(3'(1'(4'(1'(x1)))))))))))))))))))) [1]
   0'(c_3(c_0(c_0(c_1(c_1(c_4(c_3(c_4(c_3(c_0(c_4(c_2(c_1(c_4(c_3(c_4(c_2(c_1(c_2(x1)))))))))))))))))))) -> 1'(4'(0'(1'(2'(2'(2'(3'(4'(4'(2'(4'(2'(2'(1'(3'(1'(4'(2'(4'(x1)))))))))))))))))))) [1]
   4'(c_1(c_3(c_2(c_2(c_4(c_4(c_2(c_0(c_0(c_3(c_2(c_3(c_1(c_1(c_3(c_2(c_3(c_3(c_1(x1)))))))))))))))))))) -> 3'(2'(1'(2'(1'(3'(2'(1'(3'(2'(3'(2'(1'(1'(2'(1'(2'(3'(4'(3'(x1)))))))))))))))))))) [1]
   4'(c_0(c_3(c_0(c_3(c_1(c_1(c_2(c_0(c_4(c_3(c_0(c_4(c_3(c_1(c_0(c_0(c_4(c_2(c_4(x1)))))))))))))))))))) -> 2'(4'(4'(4'(4'(2'(2'(2'(2'(4'(3'(2'(2'(3'(4'(1'(2'(0'(1'(3'(x1)))))))))))))))))))) [1]
   0'(c_0(c_0(c_0(c_1(c_0(c_2(c_2(c_3(c_2(c_1(c_1(c_0(c_3(c_2(c_1(c_1(c_1(c_2(c_4(x1)))))))))))))))))))) -> 0'(3'(2'(3'(3'(2'(1'(4'(2'(2'(2'(1'(0'(0'(2'(0'(1'(2'(2'(4'(x1)))))))))))))))))))) [1]
   4'(c_3(c_4(c_3(c_4(c_4(c_3(c_0(c_3(c_3(c_2(c_2(c_3(c_1(c_3(c_2(c_2(c_3(c_4(c_1(x1)))))))))))))))))))) -> 4'(1'(0'(0'(4'(3'(4'(1'(2'(4'(3'(3'(2'(1'(3'(4'(1'(0'(3'(1'(x1)))))))))))))))))))) [1]
   0'(c_2(c_1(c_4(c_2(c_4(c_3(c_4(c_0(c_0(c_3(c_0(c_2(c_4(c_1(c_4(c_4(c_0(c_1(c_1(x1)))))))))))))))))))) -> 4'(4'(3'(3'(1'(4'(0'(3'(2'(3'(3'(1'(4'(0'(1'(2'(1'(4'(1'(0'(x1)))))))))))))))))))) [1]
   2'(c_1(c_3(c_3(c_4(c_1(c_4(c_0(c_4(c_0(c_3(c_0(c_0(c_2(c_4(c_1(c_4(c_0(c_0(c_3(x1)))))))))))))))))))) -> 1'(0'(0'(4'(3'(3'(0'(3'(2'(2'(4'(3'(2'(2'(1'(1'(3'(1'(4'(1'(x1)))))))))))))))))))) [1]
   4'(c_4(c_0(c_4(c_4(c_1(c_0(c_3(c_3(c_2(c_0(c_3(c_0(c_1(c_3(c_0(c_3(c_1(c_3(c_3(x1)))))))))))))))))))) -> 2'(1'(0'(3'(1'(3'(1'(4'(3'(3'(0'(0'(1'(4'(4'(1'(2'(2'(3'(0'(x1)))))))))))))))))))) [1]
   2'(c_4(c_2(c_3(c_0(c_2(c_3(c_2(c_2(c_3(c_2(c_1(c_0(c_3(c_4(c_1(c_3(c_1(c_0(c_1(x1)))))))))))))))))))) -> 1'(3'(0'(4'(4'(1'(3'(2'(1'(0'(2'(4'(1'(0'(2'(2'(0'(4'(4'(1'(x1)))))))))))))))))))) [1]
   2'(c_2(c_2(c_0(c_0(c_0(c_3(c_4(c_4(c_0(c_2(c_1(c_2(c_0(c_0(c_2(c_0(c_3(c_0(c_0(x1)))))))))))))))))))) -> 4'(2'(3'(4'(0'(4'(2'(1'(0'(3'(1'(1'(1'(3'(0'(0'(3'(1'(2'(0'(x1)))))))))))))))))))) [1]
   3'(c_3(c_0(c_3(c_0(c_4(c_2(c_0(c_1(c_3(c_3(c_4(c_1(c_0(c_3(c_2(c_2(c_1(c_1(c_1(x1)))))))))))))))))))) -> 4'(0'(1'(3'(1'(2'(1'(0'(1'(1'(2'(3'(0'(4'(3'(3'(1'(3'(0'(1'(x1)))))))))))))))))))) [1]
   4'(c_2(c_1(c_2(c_1(c_1(c_2(c_3(c_4(c_2(c_3(c_2(c_1(c_4(c_2(c_2(c_4(c_0(c_3(c_0(x1)))))))))))))))))))) -> 3'(1'(0'(2'(1'(3'(1'(2'(1'(0'(2'(1'(1'(3'(1'(0'(4'(0'(3'(4'(x1)))))))))))))))))))) [1]
   1'(c_4(c_2(c_4(c_4(c_3(c_3(c_4(c_3(c_3(c_4(c_1(c_4(c_1(c_2(c_3(c_4(c_1(c_1(c_2(x1)))))))))))))))))))) -> 3'(2'(2'(0'(3'(0'(2'(2'(1'(2'(1'(0'(3'(4'(1'(3'(1'(2'(1'(2'(x1)))))))))))))))))))) [1]
   4'(c_0(c_2(c_4(c_2(c_1(c_4(c_2(c_4(c_2(c_4(c_1(c_2(c_0(c_1(c_0(c_3(c_0(c_3(c_0(x1)))))))))))))))))))) -> 0'(3'(1'(0'(4'(1'(4'(2'(3'(1'(4'(4'(1'(2'(0'(1'(0'(0'(0'(4'(x1)))))))))))))))))))) [1]
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   4'(c_3(c_3(c_2(c_2(c_1(c_3(c_4(c_4(c_2(c_4(c_2(c_3(c_0(c_0(c_2(c_2(c_3(c_2(c_4(x1)))))))))))))))))))) -> 3'(2'(2'(1'(1'(0'(2'(2'(4'(0'(0'(0'(2'(1'(3'(1'(0'(4'(3'(4'(x1)))))))))))))))))))) [1]
   2'(c_0(c_1(c_4(c_4(c_3(c_3(c_4(c_2(c_3(c_1(c_3(c_1(c_1(c_3(c_0(c_4(c_1(c_3(c_2(x1)))))))))))))))))))) -> 2'(1'(4'(3'(1'(0'(3'(1'(4'(4'(4'(2'(2'(0'(0'(4'(2'(0'(2'(2'(x1)))))))))))))))))))) [1]
   0'(c_1(c_4(c_1(c_3(c_1(c_0(c_2(c_4(c_1(c_3(c_0(c_4(c_3(c_1(c_3(c_1(c_1(c_1(c_0(x1)))))))))))))))))))) -> 3'(2'(1'(1'(4'(1'(2'(1'(4'(0'(2'(1'(1'(4'(4'(0'(1'(2'(2'(1'(x1)))))))))))))))))))) [1]
   1'(c_2(c_0(c_3(c_1(c_0(c_2(c_0(c_4(c_1(c_4(c_4(c_2(c_4(c_0(c_4(c_3(c_4(c_4(c_3(x1)))))))))))))))))))) -> 2'(1'(4'(4'(4'(1'(4'(1'(1'(2'(4'(1'(1'(2'(2'(1'(1'(0'(0'(0'(x1)))))))))))))))))))) [1]
   2'(c_2(c_4(c_1(c_0(c_3(c_0(c_4(c_2(c_4(c_3(c_3(c_4(c_3(c_3(c_1(c_0(c_1(c_0(c_0(x1)))))))))))))))))))) -> 0'(4'(3'(4'(1'(0'(3'(4'(4'(4'(3'(0'(4'(0'(1'(2'(1'(3'(1'(4'(x1)))))))))))))))))))) [1]
   3'(c_0(c_2(c_2(c_1(c_0(c_0(c_0(c_0(c_0(c_3(c_1(c_0(c_0(c_4(c_3(c_4(c_2(c_2(c_0(x1)))))))))))))))))))) -> 3'(2'(2'(0'(0'(2'(2'(4'(0'(4'(3'(4'(3'(0'(2'(2'(3'(2'(1'(0'(x1)))))))))))))))))))) [1]
   3'(c_0(c_3(c_0(c_0(c_1(c_3(c_2(c_4(c_4(c_4(c_0(c_3(c_0(c_1(c_4(c_1(c_2(c_4(c_3(x1)))))))))))))))))))) -> 2'(2'(3'(2'(1'(0'(2'(0'(0'(2'(0'(4'(0'(4'(0'(4'(3'(2'(2'(3'(x1)))))))))))))))))))) [1]
   3'(c_4(c_4(c_0(c_0(c_0(c_0(c_3(c_2(c_2(c_2(c_1(c_4(c_4(c_4(c_1(c_2(c_4(c_0(c_3(x1)))))))))))))))))))) -> 1'(1'(4'(0'(0'(2'(0'(1'(2'(2'(2'(2'(0'(1'(3'(1'(0'(2'(0'(0'(x1)))))))))))))))))))) [1]
   0'(c_1(c_3(c_0(c_2(c_4(c_3(c_0(c_3(c_1(c_0(c_2(c_4(c_2(c_2(c_0(c_3(c_4(c_1(c_1(x1)))))))))))))))))))) -> 4'(0'(2'(4'(3'(1'(3'(1'(0'(2'(3'(3'(2'(1'(0'(4'(4'(1'(2'(1'(x1)))))))))))))))))))) [1]
   4'(c_1(c_0(c_2(c_0(c_3(c_2(c_1(c_1(c_3(c_1(c_1(c_0(c_1(c_1(c_2(c_0(c_0(c_4(c_4(x1)))))))))))))))))))) -> 2'(1'(4'(2'(2'(2'(2'(2'(2'(2'(0'(1'(0'(3'(1'(0'(1'(1'(4'(0'(x1)))))))))))))))))))) [1]
   3'(c_0(c_1(c_4(c_2(c_2(c_1(c_1(c_2(c_4(c_4(c_1(c_1(c_1(c_3(c_1(c_1(c_3(c_3(c_3(x1)))))))))))))))))))) -> 3'(3'(4'(2'(1'(1'(3'(1'(2'(1'(2'(2'(1'(3'(4'(1'(4'(2'(4'(2'(x1)))))))))))))))))))) [1]
   3'(c_1(c_4(c_4(c_1(c_4(c_3(c_4(c_0(c_3(c_0(c_2(c_0(c_3(c_2(c_1(c_2(c_3(c_2(c_4(x1)))))))))))))))))))) -> 2'(0'(3'(1'(2'(3'(1'(2'(1'(2'(1'(3'(3'(4'(2'(0'(0'(2'(2'(1'(x1)))))))))))))))))))) [1]
   2'(c_3(c_4(c_4(c_0(c_0(c_4(c_4(c_4(c_3(c_3(c_0(c_4(c_2(c_2(c_3(c_0(c_0(c_1(c_3(x1)))))))))))))))))))) -> 0'(2'(0'(4'(3'(3'(2'(1'(4'(4'(1'(2'(0'(1'(2'(4'(3'(3'(4'(1'(x1)))))))))))))))))))) [1]
   4'(c_1(c_1(c_1(c_2(c_2(c_3(c_3(c_3(c_4(c_4(c_0(c_2(c_0(c_2(c_1(c_0(c_1(c_0(c_0(x1)))))))))))))))))))) -> 1'(1'(0'(3'(4'(0'(2'(3'(1'(4'(2'(4'(1'(0'(4'(0'(3'(1'(1'(4'(x1)))))))))))))))))))) [1]
   0'(c_2(c_1(c_2(c_1(c_0(c_2(c_3(c_0(c_0(c_4(c_2(c_3(c_1(c_4(c_0(c_3(c_1(c_3(c_1(x1)))))))))))))))))))) -> 3'(1'(2'(3'(4'(3'(0'(2'(2'(2'(1'(2'(2'(3'(4'(2'(1'(4'(3'(1'(x1)))))))))))))))))))) [1]
   1'(c_4(c_2(c_3(c_1(c_4(c_2(c_2(c_0(c_4(c_2(c_3(c_0(c_1(c_3(c_2(c_1(c_3(c_3(c_4(x1)))))))))))))))))))) -> 1'(4'(1'(3'(4'(3'(0'(1'(4'(0'(2'(1'(0'(1'(1'(0'(3'(1'(2'(2'(x1)))))))))))))))))))) [1]
   4'(c_4(c_1(c_1(c_2(c_0(c_1(c_0(c_2(c_2(c_1(c_0(c_0(c_1(c_0(c_0(c_1(c_1(c_3(c_2(x1)))))))))))))))))))) -> 3'(1'(4'(1'(4'(4'(3'(1'(2'(3'(3'(2'(1'(3'(3'(1'(1'(3'(2'(4'(x1)))))))))))))))))))) [1]
   2'(c_3(c_1(c_3(c_2(c_1(c_4(c_1(c_0(c_2(c_4(c_2(c_0(c_0(c_2(c_3(c_4(c_4(c_3(c_2(x1)))))))))))))))))))) -> 4'(1'(1'(4'(3'(2'(3'(1'(4'(1'(4'(4'(1'(3'(1'(2'(3'(4'(4'(1'(x1)))))))))))))))))))) [1]
   2'(c_3(c_2(c_4(c_2(c_1(c_0(c_0(c_2(c_4(c_3(c_4(c_1(c_1(c_3(c_2(c_4(c_2(c_1(c_2(x1)))))))))))))))))))) -> 2'(3'(2'(1'(1'(0'(2'(0'(1'(1'(3'(2'(1'(4'(3'(1'(1'(0'(3'(1'(x1)))))))))))))))))))) [1]
   4'(c_4(c_3(c_4(c_4(c_2(c_4(c_1(c_1(c_0(c_2(c_3(c_1(c_0(c_3(c_1(c_2(c_2(c_4(c_0(x1)))))))))))))))))))) -> 1'(2'(1'(1'(1'(2'(4'(1'(4'(3'(1'(4'(1'(4'(3'(2'(0'(4'(2'(2'(x1)))))))))))))))))))) [1]
   2'(c_0(c_2(c_2(c_1(c_3(c_3(c_2(c_4(c_0(c_1(c_0(c_3(c_1(c_4(c_0(c_0(c_0(c_1(c_3(x1)))))))))))))))))))) -> 1'(3'(4'(2'(0'(1'(1'(3'(1'(3'(4'(4'(2'(3'(1'(0'(1'(3'(1'(3'(x1)))))))))))))))))))) [1]
   3'(c_3(c_3(c_4(c_2(c_3(c_3(c_0(c_1(c_3(c_4(c_4(c_4(c_0(c_4(c_2(c_2(c_4(c_0(c_2(x1)))))))))))))))))))) -> 3'(4'(3'(4'(1'(3'(4'(2'(2'(2'(2'(0'(4'(1'(3'(3'(1'(1'(4'(4'(x1)))))))))))))))))))) [1]
   4'(c_0(c_4(c_3(c_0(c_0(c_2(c_1(c_2(c_2(c_0(c_3(c_0(c_3(c_1(c_1(c_1(c_3(c_3(c_3(x1)))))))))))))))))))) -> 4'(1'(2'(1'(1'(2'(2'(1'(1'(2'(0'(1'(0'(2'(4'(4'(1'(1'(1'(0'(x1)))))))))))))))))))) [1]
   encArg(cons_0(x_1)) -> 0'(encArg(x_1)) [0]
   encArg(cons_1(x_1)) -> 1'(encArg(x_1)) [0]
   encArg(cons_2(x_1)) -> 2'(encArg(x_1)) [0]
   encArg(cons_3(x_1)) -> 3'(encArg(x_1)) [0]
   encArg(cons_4(x_1)) -> 4'(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]
   encode_3(x_1) -> 3'(encArg(x_1)) [0]
   encode_4(x_1) -> 4'(encArg(x_1)) [0]
   0'(x0) -> c_0(x0) [0]
   1'(x0) -> c_1(x0) [0]
   2'(x0) -> c_2(x0) [0]
   3'(x0) -> c_3(x0) [0]
   4'(x0) -> c_4(x0) [0]
   encArg(v0) -> const [0]
   encode_0(v0) -> const [0]
   encode_1(v0) -> const [0]
   encode_2(v0) -> const [0]
   encode_3(v0) -> const [0]
   encode_4(v0) -> const [0]
   0'(v0) -> const [0]
   1'(v0) -> const [0]
   2'(v0) -> const [0]
   3'(v0) -> const [0]
   4'(v0) -> const [0]

The TRS has the following type information:
1' :: c_0:c_4:c_1:c_2:c_3:const -> c_0:c_4:c_1:c_2:c_3:const
c_0 :: c_0:c_4:c_1:c_2:c_3:const -> c_0:c_4:c_1:c_2:c_3:const
c_4 :: c_0:c_4:c_1:c_2:c_3:const -> c_0:c_4:c_1:c_2:c_3:const
c_1 :: c_0:c_4:c_1:c_2:c_3:const -> c_0:c_4:c_1:c_2:c_3:const
c_2 :: c_0:c_4:c_1:c_2:c_3:const -> c_0:c_4:c_1:c_2:c_3:const
c_3 :: c_0:c_4:c_1:c_2:c_3:const -> c_0:c_4:c_1:c_2:c_3:const
4' :: c_0:c_4:c_1:c_2:c_3:const -> c_0:c_4:c_1:c_2:c_3:const
2' :: c_0:c_4:c_1:c_2:c_3:const -> c_0:c_4:c_1:c_2:c_3:const
3' :: c_0:c_4:c_1:c_2:c_3:const -> c_0:c_4:c_1:c_2:c_3:const
0' :: c_0:c_4:c_1:c_2:c_3:const -> c_0:c_4:c_1:c_2:c_3:const
encArg :: cons_0:cons_1:cons_2:cons_3:cons_4 -> c_0:c_4:c_1:c_2:c_3:const
cons_0 :: cons_0:cons_1:cons_2:cons_3:cons_4 -> cons_0:cons_1:cons_2:cons_3:cons_4
cons_1 :: cons_0:cons_1:cons_2:cons_3:cons_4 -> cons_0:cons_1:cons_2:cons_3:cons_4
cons_2 :: cons_0:cons_1:cons_2:cons_3:cons_4 -> cons_0:cons_1:cons_2:cons_3:cons_4
cons_3 :: cons_0:cons_1:cons_2:cons_3:cons_4 -> cons_0:cons_1:cons_2:cons_3:cons_4
cons_4 :: cons_0:cons_1:cons_2:cons_3:cons_4 -> cons_0:cons_1:cons_2:cons_3:cons_4
encode_0 :: cons_0:cons_1:cons_2:cons_3:cons_4 -> c_0:c_4:c_1:c_2:c_3:const
encode_1 :: cons_0:cons_1:cons_2:cons_3:cons_4 -> c_0:c_4:c_1:c_2:c_3:const
encode_2 :: cons_0:cons_1:cons_2:cons_3:cons_4 -> c_0:c_4:c_1:c_2:c_3:const
encode_3 :: cons_0:cons_1:cons_2:cons_3:cons_4 -> c_0:c_4:c_1:c_2:c_3:const
encode_4 :: cons_0:cons_1:cons_2:cons_3:cons_4 -> c_0:c_4:c_1:c_2:c_3:const
const :: c_0:c_4:c_1:c_2:c_3:const
const1 :: cons_0:cons_1:cons_2:cons_3:cons_4

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

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

(28)
Obligation:
Runtime Complexity Weighted TRS where critical functions are completely defined. The underlying TRS is:

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

   1'(c_0(c_0(c_4(c_0(c_0(c_1(c_2(c_3(c_0(c_1(c_4(c_1(c_3(c_0(c_2(c_1(c_4(c_0(c_0(c_0(c_0(c_4(c_0(c_0(c_1(c_2(c_3(c_0(c_1(c_4(c_1(c_3(c_0(c_2(c_1(c_4(c_0(c_0(x1'))))))))))))))))))))))))))))))))))))))) -> 4'(1'(2'(4'(1'(3'(3'(4'(3'(3'(3'(1'(2'(2'(4'(1'(0'(3'(3'(4'(1'(2'(4'(1'(3'(3'(4'(3'(3'(3'(1'(2'(2'(4'(1'(0'(3'(3'(1'(x1'))))))))))))))))))))))))))))))))))))))) [2]
   1'(c_0(c_0(c_4(c_0(c_0(c_1(c_2(c_3(c_0(c_1(c_4(c_1(c_3(c_0(c_2(c_1(c_4(c_0(c_0(c_1(c_0(c_2(c_4(c_4(c_4(c_1(c_2(c_4(c_4(c_1(c_0(c_4(c_2(c_2(c_1(c_3(c_0(c_3(x1''))))))))))))))))))))))))))))))))))))))) -> 4'(1'(2'(4'(1'(3'(3'(4'(3'(3'(3'(1'(2'(2'(4'(1'(0'(3'(3'(2'(1'(1'(1'(1'(3'(3'(4'(3'(1'(1'(4'(4'(2'(1'(3'(1'(0'(0'(3'(x1''))))))))))))))))))))))))))))))))))))))) [2]
   1'(c_0(c_0(c_4(c_0(c_0(c_1(c_2(c_3(c_0(c_1(c_4(c_1(c_3(c_0(c_2(c_1(c_4(c_0(c_0(c_4(c_1(c_3(c_0(c_1(c_1(c_1(c_1(c_0(c_4(c_0(c_0(c_3(c_0(c_3(c_2(c_4(c_3(c_4(x11))))))))))))))))))))))))))))))))))))))) -> 4'(1'(2'(4'(1'(3'(3'(4'(3'(3'(3'(1'(2'(2'(4'(1'(0'(3'(3'(1'(4'(4'(0'(4'(0'(0'(2'(4'(0'(4'(3'(2'(1'(2'(4'(2'(4'(3'(1'(x11))))))))))))))))))))))))))))))))))))))) [2]
   1'(c_0(c_0(c_4(c_0(c_0(c_1(c_2(c_3(c_0(c_1(c_4(c_1(c_3(c_0(c_2(c_1(c_4(c_0(c_0(c_4(c_2(c_4(c_4(c_3(c_3(c_4(c_3(c_3(c_4(c_1(c_4(c_1(c_2(c_3(c_4(c_1(c_1(c_2(x12))))))))))))))))))))))))))))))))))))))) -> 4'(1'(2'(4'(1'(3'(3'(4'(3'(3'(3'(1'(2'(2'(4'(1'(0'(3'(3'(3'(2'(2'(0'(3'(0'(2'(2'(1'(2'(1'(0'(3'(4'(1'(3'(1'(2'(1'(2'(x12))))))))))))))))))))))))))))))))))))))) [2]
   1'(c_0(c_0(c_4(c_0(c_0(c_1(c_2(c_3(c_0(c_1(c_4(c_1(c_3(c_0(c_2(c_1(c_4(c_0(c_0(c_0(c_0(c_0(c_3(c_2(c_4(c_3(c_1(c_2(c_3(c_0(c_2(c_4(c_1(c_0(c_1(c_2(c_4(c_2(x13))))))))))))))))))))))))))))))))))))))) -> 4'(1'(2'(4'(1'(3'(3'(4'(3'(3'(3'(1'(2'(2'(4'(1'(0'(3'(3'(2'(0'(0'(4'(4'(1'(4'(3'(2'(1'(3'(1'(3'(0'(4'(1'(1'(4'(0'(2'(x13))))))))))))))))))))))))))))))))))))))) [2]
   1'(c_0(c_0(c_4(c_0(c_0(c_1(c_2(c_3(c_0(c_1(c_4(c_1(c_3(c_0(c_2(c_1(c_4(c_0(c_0(c_4(c_1(c_2(c_3(c_0(c_0(c_2(c_3(c_4(c_1(c_4(c_0(c_2(c_0(c_4(c_1(c_1(c_2(c_0(x14))))))))))))))))))))))))))))))))))))))) -> 4'(1'(2'(4'(1'(3'(3'(4'(3'(3'(3'(1'(2'(2'(4'(1'(0'(3'(3'(4'(3'(1'(2'(1'(4'(4'(3'(4'(3'(2'(2'(1'(3'(2'(1'(3'(4'(1'(4'(x14))))))))))))))))))))))))))))))))))))))) [2]
   1'(c_0(c_0(c_4(c_0(c_0(c_1(c_2(c_3(c_0(c_1(c_4(c_1(c_3(c_0(c_2(c_1(c_4(c_0(c_0(c_3(c_4(c_3(c_0(c_3(c_1(c_4(c_3(c_2(c_4(c_0(c_1(c_0(c_0(c_1(c_3(c_3(c_1(c_1(x15))))))))))))))))))))))))))))))))))))))) -> 4'(1'(2'(4'(1'(3'(3'(4'(3'(3'(3'(1'(2'(2'(4'(1'(0'(3'(3'(1'(2'(2'(4'(3'(1'(4'(4'(3'(1'(1'(0'(3'(3'(0'(3'(0'(1'(0'(4'(x15))))))))))))))))))))))))))))))))))))))) [2]
   1'(c_0(c_0(c_4(c_0(c_0(c_1(c_2(c_3(c_0(c_1(c_4(c_1(c_3(c_0(c_2(c_1(c_4(c_0(c_0(c_2(c_4(c_4(c_0(c_0(c_4(c_3(c_0(c_2(c_2(c_3(c_0(c_0(c_4(c_4(c_3(c_3(c_3(c_2(x16))))))))))))))))))))))))))))))))))))))) -> 4'(1'(2'(4'(1'(3'(3'(4'(3'(3'(3'(1'(2'(2'(4'(1'(0'(3'(3'(4'(2'(3'(2'(1'(0'(4'(3'(3'(1'(3'(3'(1'(4'(2'(0'(0'(1'(4'(3'(x16))))))))))))))))))))))))))))))))))))))) [2]
   1'(c_0(c_0(c_4(c_0(c_0(c_1(c_2(c_3(c_0(c_1(c_4(c_1(c_3(c_0(c_2(c_1(c_4(c_0(c_0(c_0(c_1(c_1(c_3(c_3(c_0(c_2(c_0(c_2(c_2(c_1(c_0(c_4(c_1(c_0(c_4(c_3(c_1(c_4(x17))))))))))))))))))))))))))))))))))))))) -> 4'(1'(2'(4'(1'(3'(3'(4'(3'(3'(3'(1'(2'(2'(4'(1'(0'(3'(3'(1'(2'(4'(1'(0'(0'(0'(1'(4'(2'(0'(0'(4'(4'(4'(1'(4'(3'(1'(4'(x17))))))))))))))))))))))))))))))))))))))) [2]
   1'(c_0(c_0(c_4(c_0(c_0(c_1(c_2(c_3(c_0(c_1(c_4(c_1(c_3(c_0(c_2(c_1(c_4(c_0(c_0(c_2(c_0(c_3(c_1(c_0(c_2(c_0(c_4(c_1(c_4(c_4(c_2(c_4(c_0(c_4(c_3(c_4(c_4(c_3(x18))))))))))))))))))))))))))))))))))))))) -> 4'(1'(2'(4'(1'(3'(3'(4'(3'(3'(3'(1'(2'(2'(4'(1'(0'(3'(3'(2'(1'(4'(4'(4'(1'(4'(1'(1'(2'(4'(1'(1'(2'(2'(1'(1'(0'(0'(0'(x18))))))))))))))))))))))))))))))))))))))) [2]
   1'(c_0(c_0(c_4(c_0(c_0(c_1(c_2(c_3(c_0(c_1(c_4(c_1(c_3(c_0(c_2(c_1(c_4(c_0(c_0(c_4(c_2(c_3(c_1(c_4(c_2(c_2(c_0(c_4(c_2(c_3(c_0(c_1(c_3(c_2(c_1(c_3(c_3(c_4(x19))))))))))))))))))))))))))))))))))))))) -> 4'(1'(2'(4'(1'(3'(3'(4'(3'(3'(3'(1'(2'(2'(4'(1'(0'(3'(3'(1'(4'(1'(3'(4'(3'(0'(1'(4'(0'(2'(1'(0'(1'(1'(0'(3'(1'(2'(2'(x19))))))))))))))))))))))))))))))))))))))) [2]
   1'(c_0(c_0(c_4(c_0(c_0(c_1(c_2(c_3(c_0(c_1(c_4(c_1(c_3(c_0(c_2(c_1(c_4(c_0(c_0(x1)))))))))))))))))))) -> 4'(1'(2'(4'(1'(3'(3'(4'(3'(3'(3'(1'(2'(2'(4'(1'(0'(3'(3'(c_1(x1)))))))))))))))))))) [1]
   1'(c_0(c_0(c_4(c_0(c_0(c_1(c_2(c_3(c_0(c_1(c_4(c_1(c_3(c_0(c_2(c_1(c_4(c_0(c_0(x1)))))))))))))))))))) -> 4'(1'(2'(4'(1'(3'(3'(4'(3'(3'(3'(1'(2'(2'(4'(1'(0'(3'(3'(const))))))))))))))))))) [1]
   1'(c_1(c_0(c_2(c_4(c_4(c_4(c_1(c_2(c_4(c_4(c_1(c_0(c_4(c_2(c_2(c_1(c_3(c_0(c_3(x1)))))))))))))))))))) -> 2'(1'(1'(1'(1'(3'(3'(4'(3'(1'(1'(4'(4'(2'(1'(3'(1'(0'(0'(3'(x1)))))))))))))))))))) [1]
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   2'(c_3(c_1(c_3(c_2(c_1(c_4(c_1(c_0(c_2(c_4(c_2(c_0(c_0(c_2(c_3(c_4(c_4(c_3(c_2(c_3(c_4(c_3(c_0(c_3(c_1(c_4(c_3(c_2(c_4(c_0(c_1(c_0(c_0(c_1(c_3(c_3(c_1(c_1(x11779))))))))))))))))))))))))))))))))))))))) -> 4'(1'(1'(4'(3'(2'(3'(1'(4'(1'(4'(4'(1'(3'(1'(2'(3'(4'(4'(1'(2'(2'(4'(3'(1'(4'(4'(3'(1'(1'(0'(3'(3'(0'(3'(0'(1'(0'(4'(x11779))))))))))))))))))))))))))))))))))))))) [2]
   2'(c_3(c_1(c_3(c_2(c_1(c_4(c_1(c_0(c_2(c_4(c_2(c_0(c_0(c_2(c_3(c_4(c_4(c_3(c_2(c_2(c_4(c_4(c_0(c_0(c_4(c_3(c_0(c_2(c_2(c_3(c_0(c_0(c_4(c_4(c_3(c_3(c_3(c_2(x11780))))))))))))))))))))))))))))))))))))))) -> 4'(1'(1'(4'(3'(2'(3'(1'(4'(1'(4'(4'(1'(3'(1'(2'(3'(4'(4'(4'(2'(3'(2'(1'(0'(4'(3'(3'(1'(3'(3'(1'(4'(2'(0'(0'(1'(4'(3'(x11780))))))))))))))))))))))))))))))))))))))) [2]
   2'(c_3(c_1(c_3(c_2(c_1(c_4(c_1(c_0(c_2(c_4(c_2(c_0(c_0(c_2(c_3(c_4(c_4(c_3(c_2(c_0(c_1(c_1(c_3(c_3(c_0(c_2(c_0(c_2(c_2(c_1(c_0(c_4(c_1(c_0(c_4(c_3(c_1(c_4(x11781))))))))))))))))))))))))))))))))))))))) -> 4'(1'(1'(4'(3'(2'(3'(1'(4'(1'(4'(4'(1'(3'(1'(2'(3'(4'(4'(1'(2'(4'(1'(0'(0'(0'(1'(4'(2'(0'(0'(4'(4'(4'(1'(4'(3'(1'(4'(x11781))))))))))))))))))))))))))))))))))))))) [2]
   2'(c_3(c_1(c_3(c_2(c_1(c_4(c_1(c_0(c_2(c_4(c_2(c_0(c_0(c_2(c_3(c_4(c_4(c_3(c_2(c_2(c_0(c_3(c_1(c_0(c_2(c_0(c_4(c_1(c_4(c_4(c_2(c_4(c_0(c_4(c_3(c_4(c_4(c_3(x11782))))))))))))))))))))))))))))))))))))))) -> 4'(1'(1'(4'(3'(2'(3'(1'(4'(1'(4'(4'(1'(3'(1'(2'(3'(4'(4'(2'(1'(4'(4'(4'(1'(4'(1'(1'(2'(4'(1'(1'(2'(2'(1'(1'(0'(0'(0'(x11782))))))))))))))))))))))))))))))))))))))) [2]
   2'(c_3(c_1(c_3(c_2(c_1(c_4(c_1(c_0(c_2(c_4(c_2(c_0(c_0(c_2(c_3(c_4(c_4(c_3(c_2(c_4(c_2(c_3(c_1(c_4(c_2(c_2(c_0(c_4(c_2(c_3(c_0(c_1(c_3(c_2(c_1(c_3(c_3(c_4(x11783))))))))))))))))))))))))))))))))))))))) -> 4'(1'(1'(4'(3'(2'(3'(1'(4'(1'(4'(4'(1'(3'(1'(2'(3'(4'(4'(1'(4'(1'(3'(4'(3'(0'(1'(4'(0'(2'(1'(0'(1'(1'(0'(3'(1'(2'(2'(x11783))))))))))))))))))))))))))))))))))))))) [2]
   2'(c_3(c_1(c_3(c_2(c_1(c_4(c_1(c_0(c_2(c_4(c_2(c_0(c_0(c_2(c_3(c_4(c_4(c_3(c_2(x1)))))))))))))))))))) -> 4'(1'(1'(4'(3'(2'(3'(1'(4'(1'(4'(4'(1'(3'(1'(2'(3'(4'(4'(c_1(x1)))))))))))))))))))) [1]
   2'(c_3(c_1(c_3(c_2(c_1(c_4(c_1(c_0(c_2(c_4(c_2(c_0(c_0(c_2(c_3(c_4(c_4(c_3(c_2(x1)))))))))))))))))))) -> 4'(1'(1'(4'(3'(2'(3'(1'(4'(1'(4'(4'(1'(3'(1'(2'(3'(4'(4'(const))))))))))))))))))) [1]
   2'(c_3(c_2(c_4(c_2(c_1(c_0(c_0(c_2(c_4(c_3(c_4(c_1(c_1(c_3(c_2(c_4(c_2(c_1(c_2(c_0(c_0(c_4(c_0(c_0(c_1(c_2(c_3(c_0(c_1(c_4(c_1(c_3(c_0(c_2(c_1(c_4(c_0(c_0(x11784))))))))))))))))))))))))))))))))))))))) -> 2'(3'(2'(1'(1'(0'(2'(0'(1'(1'(3'(2'(1'(4'(3'(1'(1'(0'(3'(4'(1'(2'(4'(1'(3'(3'(4'(3'(3'(3'(1'(2'(2'(4'(1'(0'(3'(3'(1'(x11784))))))))))))))))))))))))))))))))))))))) [2]
   2'(c_3(c_2(c_4(c_2(c_1(c_0(c_0(c_2(c_4(c_3(c_4(c_1(c_1(c_3(c_2(c_4(c_2(c_1(c_2(c_1(c_0(c_2(c_4(c_4(c_4(c_1(c_2(c_4(c_4(c_1(c_0(c_4(c_2(c_2(c_1(c_3(c_0(c_3(x11785))))))))))))))))))))))))))))))))))))))) -> 2'(3'(2'(1'(1'(0'(2'(0'(1'(1'(3'(2'(1'(4'(3'(1'(1'(0'(3'(2'(1'(1'(1'(1'(3'(3'(4'(3'(1'(1'(4'(4'(2'(1'(3'(1'(0'(0'(3'(x11785))))))))))))))))))))))))))))))))))))))) [2]
   2'(c_3(c_2(c_4(c_2(c_1(c_0(c_0(c_2(c_4(c_3(c_4(c_1(c_1(c_3(c_2(c_4(c_2(c_1(c_2(c_4(c_1(c_3(c_0(c_1(c_1(c_1(c_1(c_0(c_4(c_0(c_0(c_3(c_0(c_3(c_2(c_4(c_3(c_4(x11786))))))))))))))))))))))))))))))))))))))) -> 2'(3'(2'(1'(1'(0'(2'(0'(1'(1'(3'(2'(1'(4'(3'(1'(1'(0'(3'(1'(4'(4'(0'(4'(0'(0'(2'(4'(0'(4'(3'(2'(1'(2'(4'(2'(4'(3'(1'(x11786))))))))))))))))))))))))))))))))))))))) [2]
   2'(c_3(c_2(c_4(c_2(c_1(c_0(c_0(c_2(c_4(c_3(c_4(c_1(c_1(c_3(c_2(c_4(c_2(c_1(c_2(c_4(c_2(c_4(c_4(c_3(c_3(c_4(c_3(c_3(c_4(c_1(c_4(c_1(c_2(c_3(c_4(c_1(c_1(c_2(x11787))))))))))))))))))))))))))))))))))))))) -> 2'(3'(2'(1'(1'(0'(2'(0'(1'(1'(3'(2'(1'(4'(3'(1'(1'(0'(3'(3'(2'(2'(0'(3'(0'(2'(2'(1'(2'(1'(0'(3'(4'(1'(3'(1'(2'(1'(2'(x11787))))))))))))))))))))))))))))))))))))))) [2]
   2'(c_3(c_2(c_4(c_2(c_1(c_0(c_0(c_2(c_4(c_3(c_4(c_1(c_1(c_3(c_2(c_4(c_2(c_1(c_2(c_0(c_0(c_0(c_3(c_2(c_4(c_3(c_1(c_2(c_3(c_0(c_2(c_4(c_1(c_0(c_1(c_2(c_4(c_2(x11788))))))))))))))))))))))))))))))))))))))) -> 2'(3'(2'(1'(1'(0'(2'(0'(1'(1'(3'(2'(1'(4'(3'(1'(1'(0'(3'(2'(0'(0'(4'(4'(1'(4'(3'(2'(1'(3'(1'(3'(0'(4'(1'(1'(4'(0'(2'(x11788))))))))))))))))))))))))))))))))))))))) [2]
   2'(c_3(c_2(c_4(c_2(c_1(c_0(c_0(c_2(c_4(c_3(c_4(c_1(c_1(c_3(c_2(c_4(c_2(c_1(c_2(c_4(c_1(c_2(c_3(c_0(c_0(c_2(c_3(c_4(c_1(c_4(c_0(c_2(c_0(c_4(c_1(c_1(c_2(c_0(x11789))))))))))))))))))))))))))))))))))))))) -> 2'(3'(2'(1'(1'(0'(2'(0'(1'(1'(3'(2'(1'(4'(3'(1'(1'(0'(3'(4'(3'(1'(2'(1'(4'(4'(3'(4'(3'(2'(2'(1'(3'(2'(1'(3'(4'(1'(4'(x11789))))))))))))))))))))))))))))))))))))))) [2]
   2'(c_3(c_2(c_4(c_2(c_1(c_0(c_0(c_2(c_4(c_3(c_4(c_1(c_1(c_3(c_2(c_4(c_2(c_1(c_2(c_3(c_4(c_3(c_0(c_3(c_1(c_4(c_3(c_2(c_4(c_0(c_1(c_0(c_0(c_1(c_3(c_3(c_1(c_1(x11790))))))))))))))))))))))))))))))))))))))) -> 2'(3'(2'(1'(1'(0'(2'(0'(1'(1'(3'(2'(1'(4'(3'(1'(1'(0'(3'(1'(2'(2'(4'(3'(1'(4'(4'(3'(1'(1'(0'(3'(3'(0'(3'(0'(1'(0'(4'(x11790))))))))))))))))))))))))))))))))))))))) [2]
   2'(c_3(c_2(c_4(c_2(c_1(c_0(c_0(c_2(c_4(c_3(c_4(c_1(c_1(c_3(c_2(c_4(c_2(c_1(c_2(c_2(c_4(c_4(c_0(c_0(c_4(c_3(c_0(c_2(c_2(c_3(c_0(c_0(c_4(c_4(c_3(c_3(c_3(c_2(x11791))))))))))))))))))))))))))))))))))))))) -> 2'(3'(2'(1'(1'(0'(2'(0'(1'(1'(3'(2'(1'(4'(3'(1'(1'(0'(3'(4'(2'(3'(2'(1'(0'(4'(3'(3'(1'(3'(3'(1'(4'(2'(0'(0'(1'(4'(3'(x11791))))))))))))))))))))))))))))))))))))))) [2]
   2'(c_3(c_2(c_4(c_2(c_1(c_0(c_0(c_2(c_4(c_3(c_4(c_1(c_1(c_3(c_2(c_4(c_2(c_1(c_2(c_0(c_1(c_1(c_3(c_3(c_0(c_2(c_0(c_2(c_2(c_1(c_0(c_4(c_1(c_0(c_4(c_3(c_1(c_4(x11792))))))))))))))))))))))))))))))))))))))) -> 2'(3'(2'(1'(1'(0'(2'(0'(1'(1'(3'(2'(1'(4'(3'(1'(1'(0'(3'(1'(2'(4'(1'(0'(0'(0'(1'(4'(2'(0'(0'(4'(4'(4'(1'(4'(3'(1'(4'(x11792))))))))))))))))))))))))))))))))))))))) [2]
   2'(c_3(c_2(c_4(c_2(c_1(c_0(c_0(c_2(c_4(c_3(c_4(c_1(c_1(c_3(c_2(c_4(c_2(c_1(c_2(c_2(c_0(c_3(c_1(c_0(c_2(c_0(c_4(c_1(c_4(c_4(c_2(c_4(c_0(c_4(c_3(c_4(c_4(c_3(x11793))))))))))))))))))))))))))))))))))))))) -> 2'(3'(2'(1'(1'(0'(2'(0'(1'(1'(3'(2'(1'(4'(3'(1'(1'(0'(3'(2'(1'(4'(4'(4'(1'(4'(1'(1'(2'(4'(1'(1'(2'(2'(1'(1'(0'(0'(0'(x11793))))))))))))))))))))))))))))))))))))))) [2]
   2'(c_3(c_2(c_4(c_2(c_1(c_0(c_0(c_2(c_4(c_3(c_4(c_1(c_1(c_3(c_2(c_4(c_2(c_1(c_2(c_4(c_2(c_3(c_1(c_4(c_2(c_2(c_0(c_4(c_2(c_3(c_0(c_1(c_3(c_2(c_1(c_3(c_3(c_4(x11794))))))))))))))))))))))))))))))))))))))) -> 2'(3'(2'(1'(1'(0'(2'(0'(1'(1'(3'(2'(1'(4'(3'(1'(1'(0'(3'(1'(4'(1'(3'(4'(3'(0'(1'(4'(0'(2'(1'(0'(1'(1'(0'(3'(1'(2'(2'(x11794))))))))))))))))))))))))))))))))))))))) [2]
   2'(c_3(c_2(c_4(c_2(c_1(c_0(c_0(c_2(c_4(c_3(c_4(c_1(c_1(c_3(c_2(c_4(c_2(c_1(c_2(x1)))))))))))))))))))) -> 2'(3'(2'(1'(1'(0'(2'(0'(1'(1'(3'(2'(1'(4'(3'(1'(1'(0'(3'(c_1(x1)))))))))))))))))))) [1]
   2'(c_3(c_2(c_4(c_2(c_1(c_0(c_0(c_2(c_4(c_3(c_4(c_1(c_1(c_3(c_2(c_4(c_2(c_1(c_2(x1)))))))))))))))))))) -> 2'(3'(2'(1'(1'(0'(2'(0'(1'(1'(3'(2'(1'(4'(3'(1'(1'(0'(3'(const))))))))))))))))))) [1]
   4'(c_4(c_3(c_4(c_4(c_2(c_4(c_1(c_1(c_0(c_2(c_3(c_1(c_0(c_3(c_1(c_2(c_2(c_4(c_0(x1)))))))))))))))))))) -> 1'(2'(1'(1'(1'(2'(4'(1'(4'(3'(1'(4'(1'(4'(3'(2'(0'(4'(2'(2'(x1)))))))))))))))))))) [1]
   2'(c_0(c_2(c_2(c_1(c_3(c_3(c_2(c_4(c_0(c_1(c_0(c_3(c_1(c_4(c_0(c_0(c_0(c_1(c_3(x1)))))))))))))))))))) -> 1'(3'(4'(2'(0'(1'(1'(3'(1'(3'(4'(4'(2'(3'(1'(0'(1'(3'(1'(3'(x1)))))))))))))))))))) [1]
   3'(c_3(c_3(c_4(c_2(c_3(c_3(c_0(c_1(c_3(c_4(c_4(c_4(c_0(c_4(c_2(c_2(c_4(c_0(c_2(x1)))))))))))))))))))) -> 3'(4'(3'(4'(1'(3'(4'(2'(2'(2'(2'(0'(4'(1'(3'(3'(1'(1'(4'(4'(x1)))))))))))))))))))) [1]
   4'(c_0(c_4(c_3(c_0(c_0(c_2(c_1(c_2(c_2(c_0(c_3(c_0(c_3(c_1(c_1(c_1(c_3(c_3(c_3(x1)))))))))))))))))))) -> 4'(1'(2'(1'(1'(2'(2'(1'(1'(2'(0'(1'(0'(2'(4'(4'(1'(1'(1'(0'(x1)))))))))))))))))))) [1]
   encArg(cons_0(cons_0(x_1'))) -> 0'(0'(encArg(x_1'))) [0]
   encArg(cons_0(cons_1(x_1''))) -> 0'(1'(encArg(x_1''))) [0]
   encArg(cons_0(cons_2(x_11))) -> 0'(2'(encArg(x_11))) [0]
   encArg(cons_0(cons_3(x_12))) -> 0'(3'(encArg(x_12))) [0]
   encArg(cons_0(cons_4(x_13))) -> 0'(4'(encArg(x_13))) [0]
   encArg(cons_0(x_1)) -> 0'(const) [0]
   encArg(cons_1(cons_0(x_14))) -> 1'(0'(encArg(x_14))) [0]
   encArg(cons_1(cons_1(x_15))) -> 1'(1'(encArg(x_15))) [0]
   encArg(cons_1(cons_2(x_16))) -> 1'(2'(encArg(x_16))) [0]
   encArg(cons_1(cons_3(x_17))) -> 1'(3'(encArg(x_17))) [0]
   encArg(cons_1(cons_4(x_18))) -> 1'(4'(encArg(x_18))) [0]
   encArg(cons_1(x_1)) -> 1'(const) [0]
   encArg(cons_2(cons_0(x_19))) -> 2'(0'(encArg(x_19))) [0]
   encArg(cons_2(cons_1(x_110))) -> 2'(1'(encArg(x_110))) [0]
   encArg(cons_2(cons_2(x_111))) -> 2'(2'(encArg(x_111))) [0]
   encArg(cons_2(cons_3(x_112))) -> 2'(3'(encArg(x_112))) [0]
   encArg(cons_2(cons_4(x_113))) -> 2'(4'(encArg(x_113))) [0]
   encArg(cons_2(x_1)) -> 2'(const) [0]
   encArg(cons_3(cons_0(x_114))) -> 3'(0'(encArg(x_114))) [0]
   encArg(cons_3(cons_1(x_115))) -> 3'(1'(encArg(x_115))) [0]
   encArg(cons_3(cons_2(x_116))) -> 3'(2'(encArg(x_116))) [0]
   encArg(cons_3(cons_3(x_117))) -> 3'(3'(encArg(x_117))) [0]
   encArg(cons_3(cons_4(x_118))) -> 3'(4'(encArg(x_118))) [0]
   encArg(cons_3(x_1)) -> 3'(const) [0]
   encArg(cons_4(cons_0(x_119))) -> 4'(0'(encArg(x_119))) [0]
   encArg(cons_4(cons_1(x_120))) -> 4'(1'(encArg(x_120))) [0]
   encArg(cons_4(cons_2(x_121))) -> 4'(2'(encArg(x_121))) [0]
   encArg(cons_4(cons_3(x_122))) -> 4'(3'(encArg(x_122))) [0]
   encArg(cons_4(cons_4(x_123))) -> 4'(4'(encArg(x_123))) [0]
   encArg(cons_4(x_1)) -> 4'(const) [0]
   encode_0(cons_0(x_124)) -> 0'(0'(encArg(x_124))) [0]
   encode_0(cons_1(x_125)) -> 0'(1'(encArg(x_125))) [0]
   encode_0(cons_2(x_126)) -> 0'(2'(encArg(x_126))) [0]
   encode_0(cons_3(x_127)) -> 0'(3'(encArg(x_127))) [0]
   encode_0(cons_4(x_128)) -> 0'(4'(encArg(x_128))) [0]
   encode_0(x_1) -> 0'(const) [0]
   encode_1(cons_0(x_129)) -> 1'(0'(encArg(x_129))) [0]
   encode_1(cons_1(x_130)) -> 1'(1'(encArg(x_130))) [0]
   encode_1(cons_2(x_131)) -> 1'(2'(encArg(x_131))) [0]
   encode_1(cons_3(x_132)) -> 1'(3'(encArg(x_132))) [0]
   encode_1(cons_4(x_133)) -> 1'(4'(encArg(x_133))) [0]
   encode_1(x_1) -> 1'(const) [0]
   encode_2(cons_0(x_134)) -> 2'(0'(encArg(x_134))) [0]
   encode_2(cons_1(x_135)) -> 2'(1'(encArg(x_135))) [0]
   encode_2(cons_2(x_136)) -> 2'(2'(encArg(x_136))) [0]
   encode_2(cons_3(x_137)) -> 2'(3'(encArg(x_137))) [0]
   encode_2(cons_4(x_138)) -> 2'(4'(encArg(x_138))) [0]
   encode_2(x_1) -> 2'(const) [0]
   encode_3(cons_0(x_139)) -> 3'(0'(encArg(x_139))) [0]
   encode_3(cons_1(x_140)) -> 3'(1'(encArg(x_140))) [0]
   encode_3(cons_2(x_141)) -> 3'(2'(encArg(x_141))) [0]
   encode_3(cons_3(x_142)) -> 3'(3'(encArg(x_142))) [0]
   encode_3(cons_4(x_143)) -> 3'(4'(encArg(x_143))) [0]
   encode_3(x_1) -> 3'(const) [0]
   encode_4(cons_0(x_144)) -> 4'(0'(encArg(x_144))) [0]
   encode_4(cons_1(x_145)) -> 4'(1'(encArg(x_145))) [0]
   encode_4(cons_2(x_146)) -> 4'(2'(encArg(x_146))) [0]
   encode_4(cons_3(x_147)) -> 4'(3'(encArg(x_147))) [0]
   encode_4(cons_4(x_148)) -> 4'(4'(encArg(x_148))) [0]
   encode_4(x_1) -> 4'(const) [0]
   0'(x0) -> c_0(x0) [0]
   1'(x0) -> c_1(x0) [0]
   2'(x0) -> c_2(x0) [0]
   3'(x0) -> c_3(x0) [0]
   4'(x0) -> c_4(x0) [0]
   encArg(v0) -> const [0]
   encode_0(v0) -> const [0]
   encode_1(v0) -> const [0]
   encode_2(v0) -> const [0]
   encode_3(v0) -> const [0]
   encode_4(v0) -> const [0]
   0'(v0) -> const [0]
   1'(v0) -> const [0]
   2'(v0) -> const [0]
   3'(v0) -> const [0]
   4'(v0) -> const [0]

The TRS has the following type information:
1' :: c_0:c_4:c_1:c_2:c_3:const -> c_0:c_4:c_1:c_2:c_3:const
c_0 :: c_0:c_4:c_1:c_2:c_3:const -> c_0:c_4:c_1:c_2:c_3:const
c_4 :: c_0:c_4:c_1:c_2:c_3:const -> c_0:c_4:c_1:c_2:c_3:const
c_1 :: c_0:c_4:c_1:c_2:c_3:const -> c_0:c_4:c_1:c_2:c_3:const
c_2 :: c_0:c_4:c_1:c_2:c_3:const -> c_0:c_4:c_1:c_2:c_3:const
c_3 :: c_0:c_4:c_1:c_2:c_3:const -> c_0:c_4:c_1:c_2:c_3:const
4' :: c_0:c_4:c_1:c_2:c_3:const -> c_0:c_4:c_1:c_2:c_3:const
2' :: c_0:c_4:c_1:c_2:c_3:const -> c_0:c_4:c_1:c_2:c_3:const
3' :: c_0:c_4:c_1:c_2:c_3:const -> c_0:c_4:c_1:c_2:c_3:const
0' :: c_0:c_4:c_1:c_2:c_3:const -> c_0:c_4:c_1:c_2:c_3:const
encArg :: cons_0:cons_1:cons_2:cons_3:cons_4 -> c_0:c_4:c_1:c_2:c_3:const
cons_0 :: cons_0:cons_1:cons_2:cons_3:cons_4 -> cons_0:cons_1:cons_2:cons_3:cons_4
cons_1 :: cons_0:cons_1:cons_2:cons_3:cons_4 -> cons_0:cons_1:cons_2:cons_3:cons_4
cons_2 :: cons_0:cons_1:cons_2:cons_3:cons_4 -> cons_0:cons_1:cons_2:cons_3:cons_4
cons_3 :: cons_0:cons_1:cons_2:cons_3:cons_4 -> cons_0:cons_1:cons_2:cons_3:cons_4
cons_4 :: cons_0:cons_1:cons_2:cons_3:cons_4 -> cons_0:cons_1:cons_2:cons_3:cons_4
encode_0 :: cons_0:cons_1:cons_2:cons_3:cons_4 -> c_0:c_4:c_1:c_2:c_3:const
encode_1 :: cons_0:cons_1:cons_2:cons_3:cons_4 -> c_0:c_4:c_1:c_2:c_3:const
encode_2 :: cons_0:cons_1:cons_2:cons_3:cons_4 -> c_0:c_4:c_1:c_2:c_3:const
encode_3 :: cons_0:cons_1:cons_2:cons_3:cons_4 -> c_0:c_4:c_1:c_2:c_3:const
encode_4 :: cons_0:cons_1:cons_2:cons_3:cons_4 -> c_0:c_4:c_1:c_2:c_3:const
const :: c_0:c_4:c_1:c_2:c_3:const
const1 :: cons_0:cons_1:cons_2:cons_3:cons_4

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

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

   const => 0
   const1 => 0

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

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

   0'(z) -{ 1 }-> 4'(4'(3'(3'(1'(4'(0'(3'(2'(3'(3'(1'(4'(0'(1'(2'(1'(4'(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 }-> 4'(2'(1'(0'(1'(3'(3'(4'(0'(0'(2'(3'(3'(4'(3'(1'(4'(1'(0'(4'(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 }-> 4'(0'(2'(4'(3'(1'(3'(1'(0'(2'(3'(3'(2'(1'(0'(4'(4'(1'(2'(4'(3'(1'(2'(1'(4'(4'(3'(4'(3'(2'(2'(1'(3'(2'(1'(3'(4'(1'(4'(x11626))))))))))))))))))))))))))))))))))))))) :|: x11626 >= 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 + x11626)))))))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 4'(0'(2'(4'(3'(1'(3'(1'(0'(2'(3'(3'(2'(1'(0'(4'(4'(1'(2'(4'(2'(3'(2'(1'(0'(4'(3'(3'(1'(3'(3'(1'(4'(2'(0'(0'(1'(4'(3'(x11628))))))))))))))))))))))))))))))))))))))) :|: x11628 >= 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 + x11628)))))))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 4'(0'(2'(4'(3'(1'(3'(1'(0'(2'(3'(3'(2'(1'(0'(4'(4'(1'(2'(4'(1'(2'(4'(1'(3'(3'(4'(3'(3'(3'(1'(2'(2'(4'(1'(0'(3'(3'(1'(x11621))))))))))))))))))))))))))))))))))))))) :|: x11621 >= 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 + x11621)))))))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 4'(0'(2'(4'(3'(1'(3'(1'(0'(2'(3'(3'(2'(1'(0'(4'(4'(1'(2'(3'(2'(2'(0'(3'(0'(2'(2'(1'(2'(1'(0'(3'(4'(1'(3'(1'(2'(1'(2'(x11624))))))))))))))))))))))))))))))))))))))) :|: 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 + x11624))))))))))))))))))))))))))))))))))))), x11624 >= 0
   0'(z) -{ 2 }-> 4'(0'(2'(4'(3'(1'(3'(1'(0'(2'(3'(3'(2'(1'(0'(4'(4'(1'(2'(2'(1'(4'(4'(4'(1'(4'(1'(1'(2'(4'(1'(1'(2'(2'(1'(1'(0'(0'(0'(x11630))))))))))))))))))))))))))))))))))))))) :|: 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 + x11630))))))))))))))))))))))))))))))))))))), x11630 >= 0
   0'(z) -{ 2 }-> 4'(0'(2'(4'(3'(1'(3'(1'(0'(2'(3'(3'(2'(1'(0'(4'(4'(1'(2'(2'(1'(1'(1'(1'(3'(3'(4'(3'(1'(1'(4'(4'(2'(1'(3'(1'(0'(0'(3'(x11622))))))))))))))))))))))))))))))))))))))) :|: 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 + x11622))))))))))))))))))))))))))))))))))))), x11622 >= 0
   0'(z) -{ 2 }-> 4'(0'(2'(4'(3'(1'(3'(1'(0'(2'(3'(3'(2'(1'(0'(4'(4'(1'(2'(2'(0'(0'(4'(4'(1'(4'(3'(2'(1'(3'(1'(3'(0'(4'(1'(1'(4'(0'(2'(x11625))))))))))))))))))))))))))))))))))))))) :|: 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 + x11625))))))))))))))))))))))))))))))))))))), x11625 >= 0
   0'(z) -{ 2 }-> 4'(0'(2'(4'(3'(1'(3'(1'(0'(2'(3'(3'(2'(1'(0'(4'(4'(1'(2'(1'(4'(4'(0'(4'(0'(0'(2'(4'(0'(4'(3'(2'(1'(2'(4'(2'(4'(3'(1'(x11623))))))))))))))))))))))))))))))))))))))) :|: 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 + x11623))))))))))))))))))))))))))))))))))))), x11623 >= 0
   0'(z) -{ 2 }-> 4'(0'(2'(4'(3'(1'(3'(1'(0'(2'(3'(3'(2'(1'(0'(4'(4'(1'(2'(1'(4'(1'(3'(4'(3'(0'(1'(4'(0'(2'(1'(0'(1'(1'(0'(3'(1'(2'(2'(x11631))))))))))))))))))))))))))))))))))))))) :|: x11631 >= 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 + x11631)))))))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 4'(0'(2'(4'(3'(1'(3'(1'(0'(2'(3'(3'(2'(1'(0'(4'(4'(1'(2'(1'(2'(4'(1'(0'(0'(0'(1'(4'(2'(0'(0'(4'(4'(4'(1'(4'(3'(1'(4'(x11629))))))))))))))))))))))))))))))))))))))) :|: 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 + x11629))))))))))))))))))))))))))))))))))))), x11629 >= 0
   0'(z) -{ 2 }-> 4'(0'(2'(4'(3'(1'(3'(1'(0'(2'(3'(3'(2'(1'(0'(4'(4'(1'(2'(1'(2'(2'(4'(3'(1'(4'(4'(3'(1'(1'(0'(3'(3'(0'(3'(0'(1'(0'(4'(x11627))))))))))))))))))))))))))))))))))))))) :|: 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 + x11627))))))))))))))))))))))))))))))))))))), x11627 >= 0
   0'(z) -{ 1 }-> 4'(0'(2'(4'(3'(1'(3'(1'(0'(2'(3'(3'(2'(1'(0'(4'(4'(1'(2'(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 }-> 4'(0'(2'(4'(3'(1'(3'(1'(0'(2'(3'(3'(2'(1'(0'(4'(4'(1'(2'(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 }-> 4'(0'(0'(0'(4'(4'(2'(1'(3'(1'(0'(1'(2'(2'(2'(4'(4'(4'(2'(3'(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 }-> 3'(2'(3'(0'(1'(2'(2'(3'(1'(4'(0'(4'(1'(1'(1'(4'(2'(2'(1'(4'(3'(1'(2'(1'(4'(4'(3'(4'(3'(2'(2'(1'(3'(2'(1'(3'(4'(1'(4'(x198))))))))))))))))))))))))))))))))))))))) :|: 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 + x198))))))))))))))))))))))))))))))))))))), x198 >= 0
   0'(z) -{ 2 }-> 3'(2'(3'(0'(1'(2'(2'(3'(1'(4'(0'(4'(1'(1'(1'(4'(2'(2'(1'(4'(2'(3'(2'(1'(0'(4'(3'(3'(1'(3'(3'(1'(4'(2'(0'(0'(1'(4'(3'(x1100))))))))))))))))))))))))))))))))))))))) :|: 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 + x1100))))))))))))))))))))))))))))))))))))), x1100 >= 0
   0'(z) -{ 2 }-> 3'(2'(3'(0'(1'(2'(2'(3'(1'(4'(0'(4'(1'(1'(1'(4'(2'(2'(1'(4'(1'(2'(4'(1'(3'(3'(4'(3'(3'(3'(1'(2'(2'(4'(1'(0'(3'(3'(1'(x193))))))))))))))))))))))))))))))))))))))) :|: 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 + x193))))))))))))))))))))))))))))))))))))), x193 >= 0
   0'(z) -{ 2 }-> 3'(2'(3'(0'(1'(2'(2'(3'(1'(4'(0'(4'(1'(1'(1'(4'(2'(2'(1'(3'(2'(2'(0'(3'(0'(2'(2'(1'(2'(1'(0'(3'(4'(1'(3'(1'(2'(1'(2'(x196))))))))))))))))))))))))))))))))))))))) :|: x196 >= 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 + x196)))))))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 3'(2'(3'(0'(1'(2'(2'(3'(1'(4'(0'(4'(1'(1'(1'(4'(2'(2'(1'(2'(1'(4'(4'(4'(1'(4'(1'(1'(2'(4'(1'(1'(2'(2'(1'(1'(0'(0'(0'(x1102))))))))))))))))))))))))))))))))))))))) :|: 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 + x1102))))))))))))))))))))))))))))))))))))), x1102 >= 0
   0'(z) -{ 2 }-> 3'(2'(3'(0'(1'(2'(2'(3'(1'(4'(0'(4'(1'(1'(1'(4'(2'(2'(1'(2'(1'(1'(1'(1'(3'(3'(4'(3'(1'(1'(4'(4'(2'(1'(3'(1'(0'(0'(3'(x194))))))))))))))))))))))))))))))))))))))) :|: x194 >= 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 + x194)))))))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 3'(2'(3'(0'(1'(2'(2'(3'(1'(4'(0'(4'(1'(1'(1'(4'(2'(2'(1'(2'(0'(0'(4'(4'(1'(4'(3'(2'(1'(3'(1'(3'(0'(4'(1'(1'(4'(0'(2'(x197))))))))))))))))))))))))))))))))))))))) :|: x197 >= 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 + x197)))))))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 3'(2'(3'(0'(1'(2'(2'(3'(1'(4'(0'(4'(1'(1'(1'(4'(2'(2'(1'(1'(4'(4'(0'(4'(0'(0'(2'(4'(0'(4'(3'(2'(1'(2'(4'(2'(4'(3'(1'(x195))))))))))))))))))))))))))))))))))))))) :|: 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 + x195))))))))))))))))))))))))))))))))))))), x195 >= 0
   0'(z) -{ 2 }-> 3'(2'(3'(0'(1'(2'(2'(3'(1'(4'(0'(4'(1'(1'(1'(4'(2'(2'(1'(1'(4'(1'(3'(4'(3'(0'(1'(4'(0'(2'(1'(0'(1'(1'(0'(3'(1'(2'(2'(x1103))))))))))))))))))))))))))))))))))))))) :|: x1103 >= 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 + x1103)))))))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 3'(2'(3'(0'(1'(2'(2'(3'(1'(4'(0'(4'(1'(1'(1'(4'(2'(2'(1'(1'(2'(4'(1'(0'(0'(0'(1'(4'(2'(0'(0'(4'(4'(4'(1'(4'(3'(1'(4'(x1101))))))))))))))))))))))))))))))))))))))) :|: 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 + x1101))))))))))))))))))))))))))))))))))))), x1101 >= 0
   0'(z) -{ 2 }-> 3'(2'(3'(0'(1'(2'(2'(3'(1'(4'(0'(4'(1'(1'(1'(4'(2'(2'(1'(1'(2'(2'(4'(3'(1'(4'(4'(3'(1'(1'(0'(3'(3'(0'(3'(0'(1'(0'(4'(x199))))))))))))))))))))))))))))))))))))))) :|: x199 >= 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 + x199)))))))))))))))))))))))))))))))))))))
   0'(z) -{ 1 }-> 3'(2'(3'(0'(1'(2'(2'(3'(1'(4'(0'(4'(1'(1'(1'(4'(2'(2'(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 }-> 3'(2'(3'(0'(1'(2'(2'(3'(1'(4'(0'(4'(1'(1'(1'(4'(2'(2'(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 }-> 3'(2'(1'(1'(4'(1'(2'(1'(4'(0'(2'(1'(1'(4'(4'(0'(1'(2'(2'(4'(3'(1'(2'(1'(4'(4'(3'(4'(3'(2'(2'(1'(3'(2'(1'(3'(4'(1'(4'(x11507))))))))))))))))))))))))))))))))))))))) :|: x11507 >= 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 + x11507)))))))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 3'(2'(1'(1'(4'(1'(2'(1'(4'(0'(2'(1'(1'(4'(4'(0'(1'(2'(2'(4'(2'(3'(2'(1'(0'(4'(3'(3'(1'(3'(3'(1'(4'(2'(0'(0'(1'(4'(3'(x11509))))))))))))))))))))))))))))))))))))))) :|: x11509 >= 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 + x11509)))))))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 3'(2'(1'(1'(4'(1'(2'(1'(4'(0'(2'(1'(1'(4'(4'(0'(1'(2'(2'(4'(1'(2'(4'(1'(3'(3'(4'(3'(3'(3'(1'(2'(2'(4'(1'(0'(3'(3'(1'(x11502))))))))))))))))))))))))))))))))))))))) :|: x11502 >= 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 + x11502)))))))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 3'(2'(1'(1'(4'(1'(2'(1'(4'(0'(2'(1'(1'(4'(4'(0'(1'(2'(2'(3'(2'(2'(0'(3'(0'(2'(2'(1'(2'(1'(0'(3'(4'(1'(3'(1'(2'(1'(2'(x11505))))))))))))))))))))))))))))))))))))))) :|: 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 + x11505))))))))))))))))))))))))))))))))))))), x11505 >= 0
   0'(z) -{ 2 }-> 3'(2'(1'(1'(4'(1'(2'(1'(4'(0'(2'(1'(1'(4'(4'(0'(1'(2'(2'(2'(1'(4'(4'(4'(1'(4'(1'(1'(2'(4'(1'(1'(2'(2'(1'(1'(0'(0'(0'(x11511))))))))))))))))))))))))))))))))))))))) :|: x11511 >= 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 + x11511)))))))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 3'(2'(1'(1'(4'(1'(2'(1'(4'(0'(2'(1'(1'(4'(4'(0'(1'(2'(2'(2'(1'(1'(1'(1'(3'(3'(4'(3'(1'(1'(4'(4'(2'(1'(3'(1'(0'(0'(3'(x11503))))))))))))))))))))))))))))))))))))))) :|: 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 + x11503))))))))))))))))))))))))))))))))))))), x11503 >= 0
   0'(z) -{ 2 }-> 3'(2'(1'(1'(4'(1'(2'(1'(4'(0'(2'(1'(1'(4'(4'(0'(1'(2'(2'(2'(0'(0'(4'(4'(1'(4'(3'(2'(1'(3'(1'(3'(0'(4'(1'(1'(4'(0'(2'(x11506))))))))))))))))))))))))))))))))))))))) :|: 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 + x11506))))))))))))))))))))))))))))))))))))), x11506 >= 0
   0'(z) -{ 2 }-> 3'(2'(1'(1'(4'(1'(2'(1'(4'(0'(2'(1'(1'(4'(4'(0'(1'(2'(2'(1'(4'(4'(0'(4'(0'(0'(2'(4'(0'(4'(3'(2'(1'(2'(4'(2'(4'(3'(1'(x11504))))))))))))))))))))))))))))))))))))))) :|: 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 + x11504))))))))))))))))))))))))))))))))))))), x11504 >= 0
   0'(z) -{ 2 }-> 3'(2'(1'(1'(4'(1'(2'(1'(4'(0'(2'(1'(1'(4'(4'(0'(1'(2'(2'(1'(4'(1'(3'(4'(3'(0'(1'(4'(0'(2'(1'(0'(1'(1'(0'(3'(1'(2'(2'(x11512))))))))))))))))))))))))))))))))))))))) :|: 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 + x11512))))))))))))))))))))))))))))))))))))), x11512 >= 0
   0'(z) -{ 2 }-> 3'(2'(1'(1'(4'(1'(2'(1'(4'(0'(2'(1'(1'(4'(4'(0'(1'(2'(2'(1'(2'(4'(1'(0'(0'(0'(1'(4'(2'(0'(0'(4'(4'(4'(1'(4'(3'(1'(4'(x11510))))))))))))))))))))))))))))))))))))))) :|: 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 + x11510))))))))))))))))))))))))))))))))))))), x11510 >= 0
   0'(z) -{ 2 }-> 3'(2'(1'(1'(4'(1'(2'(1'(4'(0'(2'(1'(1'(4'(4'(0'(1'(2'(2'(1'(2'(2'(4'(3'(1'(4'(4'(3'(1'(1'(0'(3'(3'(0'(3'(0'(1'(0'(4'(x11508))))))))))))))))))))))))))))))))))))))) :|: 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 + x11508))))))))))))))))))))))))))))))))))))), x11508 >= 0
   0'(z) -{ 1 }-> 3'(2'(1'(1'(4'(1'(2'(1'(4'(0'(2'(1'(1'(4'(4'(0'(1'(2'(2'(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 }-> 3'(2'(1'(1'(4'(1'(2'(1'(4'(0'(2'(1'(1'(4'(4'(0'(1'(2'(2'(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 }-> 3'(2'(0'(3'(2'(4'(3'(4'(4'(2'(1'(0'(1'(4'(1'(3'(1'(4'(4'(4'(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 }-> 3'(1'(3'(2'(0'(4'(1'(3'(2'(1'(0'(4'(0'(4'(4'(3'(2'(1'(4'(3'(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 }-> 3'(1'(2'(3'(4'(3'(0'(2'(2'(2'(1'(2'(2'(3'(4'(2'(1'(4'(3'(4'(3'(1'(2'(1'(4'(4'(3'(4'(3'(2'(2'(1'(3'(2'(1'(3'(4'(1'(4'(x11723))))))))))))))))))))))))))))))))))))))) :|: x11723 >= 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 + x11723)))))))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 3'(1'(2'(3'(4'(3'(0'(2'(2'(2'(1'(2'(2'(3'(4'(2'(1'(4'(3'(4'(2'(3'(2'(1'(0'(4'(3'(3'(1'(3'(3'(1'(4'(2'(0'(0'(1'(4'(3'(x11725))))))))))))))))))))))))))))))))))))))) :|: 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 + x11725))))))))))))))))))))))))))))))))))))), x11725 >= 0
   0'(z) -{ 2 }-> 3'(1'(2'(3'(4'(3'(0'(2'(2'(2'(1'(2'(2'(3'(4'(2'(1'(4'(3'(4'(1'(2'(4'(1'(3'(3'(4'(3'(3'(3'(1'(2'(2'(4'(1'(0'(3'(3'(1'(x11718))))))))))))))))))))))))))))))))))))))) :|: 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 + x11718))))))))))))))))))))))))))))))))))))), x11718 >= 0
   0'(z) -{ 2 }-> 3'(1'(2'(3'(4'(3'(0'(2'(2'(2'(1'(2'(2'(3'(4'(2'(1'(4'(3'(3'(2'(2'(0'(3'(0'(2'(2'(1'(2'(1'(0'(3'(4'(1'(3'(1'(2'(1'(2'(x11721))))))))))))))))))))))))))))))))))))))) :|: 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 + x11721))))))))))))))))))))))))))))))))))))), x11721 >= 0
   0'(z) -{ 2 }-> 3'(1'(2'(3'(4'(3'(0'(2'(2'(2'(1'(2'(2'(3'(4'(2'(1'(4'(3'(2'(1'(4'(4'(4'(1'(4'(1'(1'(2'(4'(1'(1'(2'(2'(1'(1'(0'(0'(0'(x11727))))))))))))))))))))))))))))))))))))))) :|: 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 + x11727))))))))))))))))))))))))))))))))))))), x11727 >= 0
   0'(z) -{ 2 }-> 3'(1'(2'(3'(4'(3'(0'(2'(2'(2'(1'(2'(2'(3'(4'(2'(1'(4'(3'(2'(1'(1'(1'(1'(3'(3'(4'(3'(1'(1'(4'(4'(2'(1'(3'(1'(0'(0'(3'(x11719))))))))))))))))))))))))))))))))))))))) :|: 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 + x11719))))))))))))))))))))))))))))))))))))), x11719 >= 0
   0'(z) -{ 2 }-> 3'(1'(2'(3'(4'(3'(0'(2'(2'(2'(1'(2'(2'(3'(4'(2'(1'(4'(3'(2'(0'(0'(4'(4'(1'(4'(3'(2'(1'(3'(1'(3'(0'(4'(1'(1'(4'(0'(2'(x11722))))))))))))))))))))))))))))))))))))))) :|: 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 + x11722))))))))))))))))))))))))))))))))))))), x11722 >= 0
   0'(z) -{ 2 }-> 3'(1'(2'(3'(4'(3'(0'(2'(2'(2'(1'(2'(2'(3'(4'(2'(1'(4'(3'(1'(4'(4'(0'(4'(0'(0'(2'(4'(0'(4'(3'(2'(1'(2'(4'(2'(4'(3'(1'(x11720))))))))))))))))))))))))))))))))))))))) :|: 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 + x11720))))))))))))))))))))))))))))))))))))), x11720 >= 0
   0'(z) -{ 2 }-> 3'(1'(2'(3'(4'(3'(0'(2'(2'(2'(1'(2'(2'(3'(4'(2'(1'(4'(3'(1'(4'(1'(3'(4'(3'(0'(1'(4'(0'(2'(1'(0'(1'(1'(0'(3'(1'(2'(2'(x11728))))))))))))))))))))))))))))))))))))))) :|: x11728 >= 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 + x11728)))))))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 3'(1'(2'(3'(4'(3'(0'(2'(2'(2'(1'(2'(2'(3'(4'(2'(1'(4'(3'(1'(2'(4'(1'(0'(0'(0'(1'(4'(2'(0'(0'(4'(4'(4'(1'(4'(3'(1'(4'(x11726))))))))))))))))))))))))))))))))))))))) :|: x11726 >= 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 + x11726)))))))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 3'(1'(2'(3'(4'(3'(0'(2'(2'(2'(1'(2'(2'(3'(4'(2'(1'(4'(3'(1'(2'(2'(4'(3'(1'(4'(4'(3'(1'(1'(0'(3'(3'(0'(3'(0'(1'(0'(4'(x11724))))))))))))))))))))))))))))))))))))))) :|: x11724 >= 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 + x11724)))))))))))))))))))))))))))))))))))))
   0'(z) -{ 1 }-> 3'(1'(2'(3'(4'(3'(0'(2'(2'(2'(1'(2'(2'(3'(4'(2'(1'(4'(3'(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 }-> 3'(1'(2'(3'(4'(3'(0'(2'(2'(2'(1'(2'(2'(3'(4'(2'(1'(4'(3'(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 }-> 2'(3'(3'(3'(1'(3'(2'(4'(2'(1'(1'(3'(0'(2'(1'(2'(3'(4'(2'(4'(3'(1'(2'(1'(4'(4'(3'(4'(3'(2'(2'(1'(3'(2'(1'(3'(4'(1'(4'(x1590))))))))))))))))))))))))))))))))))))))) :|: x1590 >= 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 + x1590)))))))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 2'(3'(3'(3'(1'(3'(2'(4'(2'(1'(1'(3'(0'(2'(1'(2'(3'(4'(2'(4'(2'(3'(2'(1'(0'(4'(3'(3'(1'(3'(3'(1'(4'(2'(0'(0'(1'(4'(3'(x1592))))))))))))))))))))))))))))))))))))))) :|: 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 + x1592))))))))))))))))))))))))))))))))))))), x1592 >= 0
   0'(z) -{ 2 }-> 2'(3'(3'(3'(1'(3'(2'(4'(2'(1'(1'(3'(0'(2'(1'(2'(3'(4'(2'(4'(1'(2'(4'(1'(3'(3'(4'(3'(3'(3'(1'(2'(2'(4'(1'(0'(3'(3'(1'(x1585))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1585))))))))))))))))))))))))))))))))))))), x1585 >= 0
   0'(z) -{ 2 }-> 2'(3'(3'(3'(1'(3'(2'(4'(2'(1'(1'(3'(0'(2'(1'(2'(3'(4'(2'(3'(2'(2'(0'(3'(0'(2'(2'(1'(2'(1'(0'(3'(4'(1'(3'(1'(2'(1'(2'(x1588))))))))))))))))))))))))))))))))))))))) :|: 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 + x1588))))))))))))))))))))))))))))))))))))), x1588 >= 0
   0'(z) -{ 2 }-> 2'(3'(3'(3'(1'(3'(2'(4'(2'(1'(1'(3'(0'(2'(1'(2'(3'(4'(2'(2'(1'(4'(4'(4'(1'(4'(1'(1'(2'(4'(1'(1'(2'(2'(1'(1'(0'(0'(0'(x1594))))))))))))))))))))))))))))))))))))))) :|: 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 + x1594))))))))))))))))))))))))))))))))))))), x1594 >= 0
   0'(z) -{ 2 }-> 2'(3'(3'(3'(1'(3'(2'(4'(2'(1'(1'(3'(0'(2'(1'(2'(3'(4'(2'(2'(1'(1'(1'(1'(3'(3'(4'(3'(1'(1'(4'(4'(2'(1'(3'(1'(0'(0'(3'(x1586))))))))))))))))))))))))))))))))))))))) :|: x1586 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1586)))))))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 2'(3'(3'(3'(1'(3'(2'(4'(2'(1'(1'(3'(0'(2'(1'(2'(3'(4'(2'(2'(0'(0'(4'(4'(1'(4'(3'(2'(1'(3'(1'(3'(0'(4'(1'(1'(4'(0'(2'(x1589))))))))))))))))))))))))))))))))))))))) :|: 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 + x1589))))))))))))))))))))))))))))))))))))), x1589 >= 0
   0'(z) -{ 2 }-> 2'(3'(3'(3'(1'(3'(2'(4'(2'(1'(1'(3'(0'(2'(1'(2'(3'(4'(2'(1'(4'(4'(0'(4'(0'(0'(2'(4'(0'(4'(3'(2'(1'(2'(4'(2'(4'(3'(1'(x1587))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1587))))))))))))))))))))))))))))))))))))), x1587 >= 0
   0'(z) -{ 2 }-> 2'(3'(3'(3'(1'(3'(2'(4'(2'(1'(1'(3'(0'(2'(1'(2'(3'(4'(2'(1'(4'(1'(3'(4'(3'(0'(1'(4'(0'(2'(1'(0'(1'(1'(0'(3'(1'(2'(2'(x1595))))))))))))))))))))))))))))))))))))))) :|: x1595 >= 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 + x1595)))))))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 2'(3'(3'(3'(1'(3'(2'(4'(2'(1'(1'(3'(0'(2'(1'(2'(3'(4'(2'(1'(2'(4'(1'(0'(0'(0'(1'(4'(2'(0'(0'(4'(4'(4'(1'(4'(3'(1'(4'(x1593))))))))))))))))))))))))))))))))))))))) :|: x1593 >= 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 + x1593)))))))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 2'(3'(3'(3'(1'(3'(2'(4'(2'(1'(1'(3'(0'(2'(1'(2'(3'(4'(2'(1'(2'(2'(4'(3'(1'(4'(4'(3'(1'(1'(0'(3'(3'(0'(3'(0'(1'(0'(4'(x1591))))))))))))))))))))))))))))))))))))))) :|: 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 + x1591))))))))))))))))))))))))))))))))))))), x1591 >= 0
   0'(z) -{ 1 }-> 2'(3'(3'(3'(1'(3'(2'(4'(2'(1'(1'(3'(0'(2'(1'(2'(3'(4'(2'(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 }-> 2'(3'(3'(3'(1'(3'(2'(4'(2'(1'(1'(3'(0'(2'(1'(2'(3'(4'(2'(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 }-> 2'(2'(1'(0'(2'(2'(3'(4'(2'(1'(2'(0'(3'(0'(3'(3'(1'(1'(4'(2'(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 }-> 2'(1'(2'(2'(1'(2'(3'(2'(1'(2'(4'(2'(4'(2'(3'(2'(3'(4'(4'(4'(3'(1'(2'(1'(4'(4'(3'(4'(3'(2'(2'(1'(3'(2'(1'(3'(4'(1'(4'(x11241))))))))))))))))))))))))))))))))))))))) :|: 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 + x11241))))))))))))))))))))))))))))))))))))), x11241 >= 0
   0'(z) -{ 2 }-> 2'(1'(2'(2'(1'(2'(3'(2'(1'(2'(4'(2'(4'(2'(3'(2'(3'(4'(4'(4'(2'(3'(2'(1'(0'(4'(3'(3'(1'(3'(3'(1'(4'(2'(0'(0'(1'(4'(3'(x11243))))))))))))))))))))))))))))))))))))))) :|: x11243 >= 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 + x11243)))))))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 2'(1'(2'(2'(1'(2'(3'(2'(1'(2'(4'(2'(4'(2'(3'(2'(3'(4'(4'(4'(1'(2'(4'(1'(3'(3'(4'(3'(3'(3'(1'(2'(2'(4'(1'(0'(3'(3'(1'(x11236))))))))))))))))))))))))))))))))))))))) :|: x11236 >= 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 + x11236)))))))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 2'(1'(2'(2'(1'(2'(3'(2'(1'(2'(4'(2'(4'(2'(3'(2'(3'(4'(4'(3'(2'(2'(0'(3'(0'(2'(2'(1'(2'(1'(0'(3'(4'(1'(3'(1'(2'(1'(2'(x11239))))))))))))))))))))))))))))))))))))))) :|: 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 + x11239))))))))))))))))))))))))))))))))))))), x11239 >= 0
   0'(z) -{ 2 }-> 2'(1'(2'(2'(1'(2'(3'(2'(1'(2'(4'(2'(4'(2'(3'(2'(3'(4'(4'(2'(1'(4'(4'(4'(1'(4'(1'(1'(2'(4'(1'(1'(2'(2'(1'(1'(0'(0'(0'(x11245))))))))))))))))))))))))))))))))))))))) :|: x11245 >= 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 + x11245)))))))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 2'(1'(2'(2'(1'(2'(3'(2'(1'(2'(4'(2'(4'(2'(3'(2'(3'(4'(4'(2'(1'(1'(1'(1'(3'(3'(4'(3'(1'(1'(4'(4'(2'(1'(3'(1'(0'(0'(3'(x11237))))))))))))))))))))))))))))))))))))))) :|: x11237 >= 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 + x11237)))))))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 2'(1'(2'(2'(1'(2'(3'(2'(1'(2'(4'(2'(4'(2'(3'(2'(3'(4'(4'(2'(0'(0'(4'(4'(1'(4'(3'(2'(1'(3'(1'(3'(0'(4'(1'(1'(4'(0'(2'(x11240))))))))))))))))))))))))))))))))))))))) :|: x11240 >= 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 + x11240)))))))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 2'(1'(2'(2'(1'(2'(3'(2'(1'(2'(4'(2'(4'(2'(3'(2'(3'(4'(4'(1'(4'(4'(0'(4'(0'(0'(2'(4'(0'(4'(3'(2'(1'(2'(4'(2'(4'(3'(1'(x11238))))))))))))))))))))))))))))))))))))))) :|: 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 + x11238))))))))))))))))))))))))))))))))))))), x11238 >= 0
   0'(z) -{ 2 }-> 2'(1'(2'(2'(1'(2'(3'(2'(1'(2'(4'(2'(4'(2'(3'(2'(3'(4'(4'(1'(4'(1'(3'(4'(3'(0'(1'(4'(0'(2'(1'(0'(1'(1'(0'(3'(1'(2'(2'(x11246))))))))))))))))))))))))))))))))))))))) :|: 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 + x11246))))))))))))))))))))))))))))))))))))), x11246 >= 0
   0'(z) -{ 2 }-> 2'(1'(2'(2'(1'(2'(3'(2'(1'(2'(4'(2'(4'(2'(3'(2'(3'(4'(4'(1'(2'(4'(1'(0'(0'(0'(1'(4'(2'(0'(0'(4'(4'(4'(1'(4'(3'(1'(4'(x11244))))))))))))))))))))))))))))))))))))))) :|: x11244 >= 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 + x11244)))))))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 2'(1'(2'(2'(1'(2'(3'(2'(1'(2'(4'(2'(4'(2'(3'(2'(3'(4'(4'(1'(2'(2'(4'(3'(1'(4'(4'(3'(1'(1'(0'(3'(3'(0'(3'(0'(1'(0'(4'(x11242))))))))))))))))))))))))))))))))))))))) :|: x11242 >= 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 + x11242)))))))))))))))))))))))))))))))))))))
   0'(z) -{ 1 }-> 2'(1'(2'(2'(1'(2'(3'(2'(1'(2'(4'(2'(4'(2'(3'(2'(3'(4'(4'(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 }-> 2'(1'(2'(2'(1'(2'(3'(2'(1'(2'(4'(2'(4'(2'(3'(2'(3'(4'(4'(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 }-> 2'(1'(1'(4'(2'(2'(3'(1'(3'(1'(2'(2'(2'(4'(1'(3'(3'(4'(3'(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 }-> 1'(4'(0'(1'(2'(2'(2'(3'(4'(4'(2'(4'(2'(2'(1'(3'(1'(4'(2'(4'(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 }-> 1'(3'(1'(4'(0'(3'(1'(1'(4'(3'(3'(2'(2'(1'(2'(0'(2'(0'(3'(4'(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 }-> 1'(2'(2'(0'(4'(4'(0'(3'(1'(4'(1'(3'(4'(3'(3'(4'(4'(4'(2'(4'(3'(1'(2'(1'(4'(4'(3'(4'(3'(2'(2'(1'(3'(2'(1'(3'(4'(1'(4'(x1883))))))))))))))))))))))))))))))))))))))) :|: x1883 >= 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 + x1883)))))))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 1'(2'(2'(0'(4'(4'(0'(3'(1'(4'(1'(3'(4'(3'(3'(4'(4'(4'(2'(4'(2'(3'(2'(1'(0'(4'(3'(3'(1'(3'(3'(1'(4'(2'(0'(0'(1'(4'(3'(x1885))))))))))))))))))))))))))))))))))))))) :|: x1885 >= 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 + x1885)))))))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 1'(2'(2'(0'(4'(4'(0'(3'(1'(4'(1'(3'(4'(3'(3'(4'(4'(4'(2'(4'(1'(2'(4'(1'(3'(3'(4'(3'(3'(3'(1'(2'(2'(4'(1'(0'(3'(3'(1'(x1878))))))))))))))))))))))))))))))))))))))) :|: 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 + x1878))))))))))))))))))))))))))))))))))))), x1878 >= 0
   0'(z) -{ 2 }-> 1'(2'(2'(0'(4'(4'(0'(3'(1'(4'(1'(3'(4'(3'(3'(4'(4'(4'(2'(3'(2'(2'(0'(3'(0'(2'(2'(1'(2'(1'(0'(3'(4'(1'(3'(1'(2'(1'(2'(x1881))))))))))))))))))))))))))))))))))))))) :|: 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 + x1881))))))))))))))))))))))))))))))))))))), x1881 >= 0
   0'(z) -{ 2 }-> 1'(2'(2'(0'(4'(4'(0'(3'(1'(4'(1'(3'(4'(3'(3'(4'(4'(4'(2'(2'(1'(4'(4'(4'(1'(4'(1'(1'(2'(4'(1'(1'(2'(2'(1'(1'(0'(0'(0'(x1887))))))))))))))))))))))))))))))))))))))) :|: 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 + x1887))))))))))))))))))))))))))))))))))))), x1887 >= 0
   0'(z) -{ 2 }-> 1'(2'(2'(0'(4'(4'(0'(3'(1'(4'(1'(3'(4'(3'(3'(4'(4'(4'(2'(2'(1'(1'(1'(1'(3'(3'(4'(3'(1'(1'(4'(4'(2'(1'(3'(1'(0'(0'(3'(x1879))))))))))))))))))))))))))))))))))))))) :|: 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 + x1879))))))))))))))))))))))))))))))))))))), x1879 >= 0
   0'(z) -{ 2 }-> 1'(2'(2'(0'(4'(4'(0'(3'(1'(4'(1'(3'(4'(3'(3'(4'(4'(4'(2'(2'(0'(0'(4'(4'(1'(4'(3'(2'(1'(3'(1'(3'(0'(4'(1'(1'(4'(0'(2'(x1882))))))))))))))))))))))))))))))))))))))) :|: 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 + x1882))))))))))))))))))))))))))))))))))))), x1882 >= 0
   0'(z) -{ 2 }-> 1'(2'(2'(0'(4'(4'(0'(3'(1'(4'(1'(3'(4'(3'(3'(4'(4'(4'(2'(1'(4'(4'(0'(4'(0'(0'(2'(4'(0'(4'(3'(2'(1'(2'(4'(2'(4'(3'(1'(x1880))))))))))))))))))))))))))))))))))))))) :|: 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 + x1880))))))))))))))))))))))))))))))))))))), x1880 >= 0
   0'(z) -{ 2 }-> 1'(2'(2'(0'(4'(4'(0'(3'(1'(4'(1'(3'(4'(3'(3'(4'(4'(4'(2'(1'(4'(1'(3'(4'(3'(0'(1'(4'(0'(2'(1'(0'(1'(1'(0'(3'(1'(2'(2'(x1888))))))))))))))))))))))))))))))))))))))) :|: 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 + x1888))))))))))))))))))))))))))))))))))))), x1888 >= 0
   0'(z) -{ 2 }-> 1'(2'(2'(0'(4'(4'(0'(3'(1'(4'(1'(3'(4'(3'(3'(4'(4'(4'(2'(1'(2'(4'(1'(0'(0'(0'(1'(4'(2'(0'(0'(4'(4'(4'(1'(4'(3'(1'(4'(x1886))))))))))))))))))))))))))))))))))))))) :|: 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 + x1886))))))))))))))))))))))))))))))))))))), x1886 >= 0
   0'(z) -{ 2 }-> 1'(2'(2'(0'(4'(4'(0'(3'(1'(4'(1'(3'(4'(3'(3'(4'(4'(4'(2'(1'(2'(2'(4'(3'(1'(4'(4'(3'(1'(1'(0'(3'(3'(0'(3'(0'(1'(0'(4'(x1884))))))))))))))))))))))))))))))))))))))) :|: 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 + x1884))))))))))))))))))))))))))))))))))))), x1884 >= 0
   0'(z) -{ 1 }-> 1'(2'(2'(0'(4'(4'(0'(3'(1'(4'(1'(3'(4'(3'(3'(4'(4'(4'(2'(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 }-> 1'(2'(2'(0'(4'(4'(0'(3'(1'(4'(1'(3'(4'(3'(3'(4'(4'(4'(2'(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 }-> 1'(0'(1'(4'(2'(1'(0'(2'(4'(4'(4'(0'(1'(1'(3'(1'(3'(4'(3'(4'(3'(1'(2'(1'(4'(4'(3'(4'(3'(2'(2'(1'(3'(2'(1'(3'(4'(1'(4'(x1986))))))))))))))))))))))))))))))))))))))) :|: 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 + x1986))))))))))))))))))))))))))))))))))))), x1986 >= 0
   0'(z) -{ 2 }-> 1'(0'(1'(4'(2'(1'(0'(2'(4'(4'(4'(0'(1'(1'(3'(1'(3'(4'(3'(4'(2'(3'(2'(1'(0'(4'(3'(3'(1'(3'(3'(1'(4'(2'(0'(0'(1'(4'(3'(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) -{ 2 }-> 1'(0'(1'(4'(2'(1'(0'(2'(4'(4'(4'(0'(1'(1'(3'(1'(3'(4'(3'(4'(1'(2'(4'(1'(3'(3'(4'(3'(3'(3'(1'(2'(2'(4'(1'(0'(3'(3'(1'(x1981))))))))))))))))))))))))))))))))))))))) :|: x1981 >= 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 + x1981)))))))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 1'(0'(1'(4'(2'(1'(0'(2'(4'(4'(4'(0'(1'(1'(3'(1'(3'(4'(3'(3'(2'(2'(0'(3'(0'(2'(2'(1'(2'(1'(0'(3'(4'(1'(3'(1'(2'(1'(2'(x1984))))))))))))))))))))))))))))))))))))))) :|: 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 + x1984))))))))))))))))))))))))))))))))))))), x1984 >= 0
   0'(z) -{ 2 }-> 1'(0'(1'(4'(2'(1'(0'(2'(4'(4'(4'(0'(1'(1'(3'(1'(3'(4'(3'(2'(1'(4'(4'(4'(1'(4'(1'(1'(2'(4'(1'(1'(2'(2'(1'(1'(0'(0'(0'(x1990))))))))))))))))))))))))))))))))))))))) :|: 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 + x1990))))))))))))))))))))))))))))))))))))), x1990 >= 0
   0'(z) -{ 2 }-> 1'(0'(1'(4'(2'(1'(0'(2'(4'(4'(4'(0'(1'(1'(3'(1'(3'(4'(3'(2'(1'(1'(1'(1'(3'(3'(4'(3'(1'(1'(4'(4'(2'(1'(3'(1'(0'(0'(3'(x1982))))))))))))))))))))))))))))))))))))))) :|: 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 + x1982))))))))))))))))))))))))))))))))))))), x1982 >= 0
   0'(z) -{ 2 }-> 1'(0'(1'(4'(2'(1'(0'(2'(4'(4'(4'(0'(1'(1'(3'(1'(3'(4'(3'(2'(0'(0'(4'(4'(1'(4'(3'(2'(1'(3'(1'(3'(0'(4'(1'(1'(4'(0'(2'(x1985))))))))))))))))))))))))))))))))))))))) :|: 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 + x1985))))))))))))))))))))))))))))))))))))), x1985 >= 0
   0'(z) -{ 2 }-> 1'(0'(1'(4'(2'(1'(0'(2'(4'(4'(4'(0'(1'(1'(3'(1'(3'(4'(3'(1'(4'(4'(0'(4'(0'(0'(2'(4'(0'(4'(3'(2'(1'(2'(4'(2'(4'(3'(1'(x1983))))))))))))))))))))))))))))))))))))))) :|: x1983 >= 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 + x1983)))))))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 1'(0'(1'(4'(2'(1'(0'(2'(4'(4'(4'(0'(1'(1'(3'(1'(3'(4'(3'(1'(4'(1'(3'(4'(3'(0'(1'(4'(0'(2'(1'(0'(1'(1'(0'(3'(1'(2'(2'(x1991))))))))))))))))))))))))))))))))))))))) :|: 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 + x1991))))))))))))))))))))))))))))))))))))), x1991 >= 0
   0'(z) -{ 2 }-> 1'(0'(1'(4'(2'(1'(0'(2'(4'(4'(4'(0'(1'(1'(3'(1'(3'(4'(3'(1'(2'(4'(1'(0'(0'(0'(1'(4'(2'(0'(0'(4'(4'(4'(1'(4'(3'(1'(4'(x1989))))))))))))))))))))))))))))))))))))))) :|: 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 + x1989))))))))))))))))))))))))))))))))))))), x1989 >= 0
   0'(z) -{ 2 }-> 1'(0'(1'(4'(2'(1'(0'(2'(4'(4'(4'(0'(1'(1'(3'(1'(3'(4'(3'(1'(2'(2'(4'(3'(1'(4'(4'(3'(1'(1'(0'(3'(3'(0'(3'(0'(1'(0'(4'(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 + (1 + x1987))))))))))))))))))))))))))))))))))))), x1987 >= 0
   0'(z) -{ 1 }-> 1'(0'(1'(4'(2'(1'(0'(2'(4'(4'(4'(0'(1'(1'(3'(1'(3'(4'(3'(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 }-> 1'(0'(1'(4'(2'(1'(0'(2'(4'(4'(4'(0'(1'(1'(3'(1'(3'(4'(3'(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'(3'(3'(4'(2'(1'(0'(1'(3'(3'(0'(3'(2'(4'(1'(3'(2'(3'(1'(4'(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'(3'(2'(3'(3'(2'(1'(4'(2'(2'(2'(1'(0'(0'(2'(0'(1'(2'(2'(4'(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'(3'(3'(1'(1'(1'(4'(4'(1'(4'(3'(3'(0'(3'(3'(2'(4'(3'(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 }-> 4'(3'(1'(2'(1'(4'(4'(3'(4'(3'(2'(2'(1'(3'(2'(1'(3'(4'(1'(4'(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) -{ 1 }-> 4'(2'(3'(2'(1'(0'(4'(3'(3'(1'(3'(3'(1'(4'(2'(0'(0'(1'(4'(3'(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) -{ 2 }-> 4'(1'(2'(4'(1'(3'(3'(4'(3'(3'(3'(1'(2'(2'(4'(1'(0'(3'(3'(4'(3'(1'(2'(1'(4'(4'(3'(4'(3'(2'(2'(1'(3'(2'(1'(3'(4'(1'(4'(x14))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x14))))))))))))))))))))))))))))))))))))), x14 >= 0
   1'(z) -{ 2 }-> 4'(1'(2'(4'(1'(3'(3'(4'(3'(3'(3'(1'(2'(2'(4'(1'(0'(3'(3'(4'(2'(3'(2'(1'(0'(4'(3'(3'(1'(3'(3'(1'(4'(2'(0'(0'(1'(4'(3'(x16))))))))))))))))))))))))))))))))))))))) :|: 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 + x16))))))))))))))))))))))))))))))))))))), x16 >= 0
   1'(z) -{ 2 }-> 4'(1'(2'(4'(1'(3'(3'(4'(3'(3'(3'(1'(2'(2'(4'(1'(0'(3'(3'(4'(1'(2'(4'(1'(3'(3'(4'(3'(3'(3'(1'(2'(2'(4'(1'(0'(3'(3'(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')))))))))))))))))))))))))))))))))))))
   1'(z) -{ 2 }-> 4'(1'(2'(4'(1'(3'(3'(4'(3'(3'(3'(1'(2'(2'(4'(1'(0'(3'(3'(3'(2'(2'(0'(3'(0'(2'(2'(1'(2'(1'(0'(3'(4'(1'(3'(1'(2'(1'(2'(x12))))))))))))))))))))))))))))))))))))))) :|: 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 + x12))))))))))))))))))))))))))))))))))))), x12 >= 0
   1'(z) -{ 2 }-> 4'(1'(2'(4'(1'(3'(3'(4'(3'(3'(3'(1'(2'(2'(4'(1'(0'(3'(3'(2'(1'(4'(4'(4'(1'(4'(1'(1'(2'(4'(1'(1'(2'(2'(1'(1'(0'(0'(0'(x18))))))))))))))))))))))))))))))))))))))) :|: 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 + x18))))))))))))))))))))))))))))))))))))), x18 >= 0
   1'(z) -{ 2 }-> 4'(1'(2'(4'(1'(3'(3'(4'(3'(3'(3'(1'(2'(2'(4'(1'(0'(3'(3'(2'(1'(1'(1'(1'(3'(3'(4'(3'(1'(1'(4'(4'(2'(1'(3'(1'(0'(0'(3'(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'')))))))))))))))))))))))))))))))))))))
   1'(z) -{ 2 }-> 4'(1'(2'(4'(1'(3'(3'(4'(3'(3'(3'(1'(2'(2'(4'(1'(0'(3'(3'(2'(0'(0'(4'(4'(1'(4'(3'(2'(1'(3'(1'(3'(0'(4'(1'(1'(4'(0'(2'(x13))))))))))))))))))))))))))))))))))))))) :|: x13 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x13)))))))))))))))))))))))))))))))))))))
   1'(z) -{ 2 }-> 4'(1'(2'(4'(1'(3'(3'(4'(3'(3'(3'(1'(2'(2'(4'(1'(0'(3'(3'(1'(4'(4'(0'(4'(0'(0'(2'(4'(0'(4'(3'(2'(1'(2'(4'(2'(4'(3'(1'(x11))))))))))))))))))))))))))))))))))))))) :|: 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 + x11))))))))))))))))))))))))))))))))))))), x11 >= 0
   1'(z) -{ 2 }-> 4'(1'(2'(4'(1'(3'(3'(4'(3'(3'(3'(1'(2'(2'(4'(1'(0'(3'(3'(1'(4'(1'(3'(4'(3'(0'(1'(4'(0'(2'(1'(0'(1'(1'(0'(3'(1'(2'(2'(x19))))))))))))))))))))))))))))))))))))))) :|: x19 >= 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 + x19)))))))))))))))))))))))))))))))))))))
   1'(z) -{ 2 }-> 4'(1'(2'(4'(1'(3'(3'(4'(3'(3'(3'(1'(2'(2'(4'(1'(0'(3'(3'(1'(2'(4'(1'(0'(0'(0'(1'(4'(2'(0'(0'(4'(4'(4'(1'(4'(3'(1'(4'(x17))))))))))))))))))))))))))))))))))))))) :|: x17 >= 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 + x17)))))))))))))))))))))))))))))))))))))
   1'(z) -{ 2 }-> 4'(1'(2'(4'(1'(3'(3'(4'(3'(3'(3'(1'(2'(2'(4'(1'(0'(3'(3'(1'(2'(2'(4'(3'(1'(4'(4'(3'(1'(1'(0'(3'(3'(0'(3'(0'(1'(0'(4'(x15))))))))))))))))))))))))))))))))))))))) :|: 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 + x15))))))))))))))))))))))))))))))))))))), x15 >= 0
   1'(z) -{ 1 }-> 4'(1'(2'(4'(1'(3'(3'(4'(3'(3'(3'(1'(2'(2'(4'(1'(0'(3'(3'(0))))))))))))))))))) :|: 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) -{ 1 }-> 4'(1'(2'(4'(1'(3'(3'(4'(3'(3'(3'(1'(2'(2'(4'(1'(0'(3'(3'(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) -{ 1 }-> 3'(2'(2'(0'(3'(0'(2'(2'(1'(2'(1'(0'(3'(4'(1'(3'(1'(2'(1'(2'(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) -{ 1 }-> 2'(1'(4'(4'(4'(1'(4'(1'(1'(2'(4'(1'(1'(2'(2'(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))))))))))))))))))
   1'(z) -{ 1 }-> 2'(1'(1'(1'(1'(3'(3'(4'(3'(1'(1'(4'(4'(2'(1'(3'(1'(0'(0'(3'(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) -{ 1 }-> 2'(0'(0'(4'(4'(1'(4'(3'(2'(1'(3'(1'(3'(0'(4'(1'(1'(4'(0'(2'(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) -{ 2 }-> 1'(4'(4'(0'(4'(0'(0'(2'(4'(0'(4'(3'(2'(1'(2'(4'(2'(4'(3'(4'(3'(1'(2'(1'(4'(4'(3'(4'(3'(2'(2'(1'(3'(2'(1'(3'(4'(1'(4'(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 + (1 + (1 + x163)))))))))))))))))))))))))))))))))))))
   1'(z) -{ 2 }-> 1'(4'(4'(0'(4'(0'(0'(2'(4'(0'(4'(3'(2'(1'(2'(4'(2'(4'(3'(4'(2'(3'(2'(1'(0'(4'(3'(3'(1'(3'(3'(1'(4'(2'(0'(0'(1'(4'(3'(x165))))))))))))))))))))))))))))))))))))))) :|: x165 >= 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 + x165)))))))))))))))))))))))))))))))))))))
   1'(z) -{ 2 }-> 1'(4'(4'(0'(4'(0'(0'(2'(4'(0'(4'(3'(2'(1'(2'(4'(2'(4'(3'(4'(1'(2'(4'(1'(3'(3'(4'(3'(3'(3'(1'(2'(2'(4'(1'(0'(3'(3'(1'(x158))))))))))))))))))))))))))))))))))))))) :|: 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 + x158))))))))))))))))))))))))))))))))))))), x158 >= 0
   1'(z) -{ 2 }-> 1'(4'(4'(0'(4'(0'(0'(2'(4'(0'(4'(3'(2'(1'(2'(4'(2'(4'(3'(3'(2'(2'(0'(3'(0'(2'(2'(1'(2'(1'(0'(3'(4'(1'(3'(1'(2'(1'(2'(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 + (1 + (1 + x161))))))))))))))))))))))))))))))))))))), x161 >= 0
   1'(z) -{ 2 }-> 1'(4'(4'(0'(4'(0'(0'(2'(4'(0'(4'(3'(2'(1'(2'(4'(2'(4'(3'(2'(1'(4'(4'(4'(1'(4'(1'(1'(2'(4'(1'(1'(2'(2'(1'(1'(0'(0'(0'(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 + (1 + (1 + x167))))))))))))))))))))))))))))))))))))), x167 >= 0
   1'(z) -{ 2 }-> 1'(4'(4'(0'(4'(0'(0'(2'(4'(0'(4'(3'(2'(1'(2'(4'(2'(4'(3'(2'(1'(1'(1'(1'(3'(3'(4'(3'(1'(1'(4'(4'(2'(1'(3'(1'(0'(0'(3'(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 + (1 + (1 + x159)))))))))))))))))))))))))))))))))))))
   1'(z) -{ 2 }-> 1'(4'(4'(0'(4'(0'(0'(2'(4'(0'(4'(3'(2'(1'(2'(4'(2'(4'(3'(2'(0'(0'(4'(4'(1'(4'(3'(2'(1'(3'(1'(3'(0'(4'(1'(1'(4'(0'(2'(x162))))))))))))))))))))))))))))))))))))))) :|: x162 >= 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 + x162)))))))))))))))))))))))))))))))))))))
   1'(z) -{ 2 }-> 1'(4'(4'(0'(4'(0'(0'(2'(4'(0'(4'(3'(2'(1'(2'(4'(2'(4'(3'(1'(4'(4'(0'(4'(0'(0'(2'(4'(0'(4'(3'(2'(1'(2'(4'(2'(4'(3'(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 + (1 + (1 + x160))))))))))))))))))))))))))))))))))))), x160 >= 0
   1'(z) -{ 2 }-> 1'(4'(4'(0'(4'(0'(0'(2'(4'(0'(4'(3'(2'(1'(2'(4'(2'(4'(3'(1'(4'(1'(3'(4'(3'(0'(1'(4'(0'(2'(1'(0'(1'(1'(0'(3'(1'(2'(2'(x168))))))))))))))))))))))))))))))))))))))) :|: 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 + x168))))))))))))))))))))))))))))))))))))), x168 >= 0
   1'(z) -{ 2 }-> 1'(4'(4'(0'(4'(0'(0'(2'(4'(0'(4'(3'(2'(1'(2'(4'(2'(4'(3'(1'(2'(4'(1'(0'(0'(0'(1'(4'(2'(0'(0'(4'(4'(4'(1'(4'(3'(1'(4'(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 + (1 + (1 + x166)))))))))))))))))))))))))))))))))))))
   1'(z) -{ 2 }-> 1'(4'(4'(0'(4'(0'(0'(2'(4'(0'(4'(3'(2'(1'(2'(4'(2'(4'(3'(1'(2'(2'(4'(3'(1'(4'(4'(3'(1'(1'(0'(3'(3'(0'(3'(0'(1'(0'(4'(x164))))))))))))))))))))))))))))))))))))))) :|: 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 + x164))))))))))))))))))))))))))))))))))))), x164 >= 0
   1'(z) -{ 1 }-> 1'(4'(4'(0'(4'(0'(0'(2'(4'(0'(4'(3'(2'(1'(2'(4'(2'(4'(3'(0))))))))))))))))))) :|: 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) -{ 1 }-> 1'(4'(4'(0'(4'(0'(0'(2'(4'(0'(4'(3'(2'(1'(2'(4'(2'(4'(3'(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) -{ 1 }-> 1'(4'(1'(3'(4'(3'(0'(1'(4'(0'(2'(1'(0'(1'(1'(0'(3'(1'(2'(2'(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) -{ 1 }-> 1'(2'(4'(1'(0'(0'(0'(1'(4'(2'(0'(0'(4'(4'(4'(1'(4'(3'(1'(4'(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) -{ 1 }-> 1'(2'(2'(4'(3'(1'(4'(4'(3'(1'(1'(0'(3'(3'(0'(3'(0'(1'(0'(4'(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
   2'(z) -{ 1 }-> 4'(2'(3'(4'(0'(4'(2'(1'(0'(3'(1'(1'(1'(3'(0'(0'(3'(1'(2'(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))))))))))))))))))
   2'(z) -{ 1 }-> 4'(2'(1'(4'(1'(0'(3'(1'(4'(4'(3'(3'(0'(1'(3'(1'(2'(4'(3'(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))))))))))))))))))
   2'(z) -{ 1 }-> 4'(1'(4'(3'(4'(2'(2'(1'(2'(1'(4'(4'(3'(1'(0'(4'(3'(4'(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))))))))))))))))))
   2'(z) -{ 1 }-> 4'(1'(2'(4'(2'(1'(4'(2'(2'(0'(3'(0'(1'(4'(1'(2'(4'(3'(4'(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))))))))))))))))))
   2'(z) -{ 2 }-> 4'(1'(1'(4'(3'(2'(3'(1'(4'(1'(4'(4'(1'(3'(1'(2'(3'(4'(4'(4'(3'(1'(2'(1'(4'(4'(3'(4'(3'(2'(2'(1'(3'(2'(1'(3'(4'(1'(4'(x11778))))))))))))))))))))))))))))))))))))))) :|: 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 + x11778))))))))))))))))))))))))))))))))))))), x11778 >= 0
   2'(z) -{ 2 }-> 4'(1'(1'(4'(3'(2'(3'(1'(4'(1'(4'(4'(1'(3'(1'(2'(3'(4'(4'(4'(2'(3'(2'(1'(0'(4'(3'(3'(1'(3'(3'(1'(4'(2'(0'(0'(1'(4'(3'(x11780))))))))))))))))))))))))))))))))))))))) :|: x11780 >= 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 + x11780)))))))))))))))))))))))))))))))))))))
   2'(z) -{ 2 }-> 4'(1'(1'(4'(3'(2'(3'(1'(4'(1'(4'(4'(1'(3'(1'(2'(3'(4'(4'(4'(1'(2'(4'(1'(3'(3'(4'(3'(3'(3'(1'(2'(2'(4'(1'(0'(3'(3'(1'(x11773))))))))))))))))))))))))))))))))))))))) :|: x11773 >= 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 + x11773)))))))))))))))))))))))))))))))))))))
   2'(z) -{ 2 }-> 4'(1'(1'(4'(3'(2'(3'(1'(4'(1'(4'(4'(1'(3'(1'(2'(3'(4'(4'(3'(2'(2'(0'(3'(0'(2'(2'(1'(2'(1'(0'(3'(4'(1'(3'(1'(2'(1'(2'(x11776))))))))))))))))))))))))))))))))))))))) :|: 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 + x11776))))))))))))))))))))))))))))))))))))), x11776 >= 0
   2'(z) -{ 2 }-> 4'(1'(1'(4'(3'(2'(3'(1'(4'(1'(4'(4'(1'(3'(1'(2'(3'(4'(4'(2'(1'(4'(4'(4'(1'(4'(1'(1'(2'(4'(1'(1'(2'(2'(1'(1'(0'(0'(0'(x11782))))))))))))))))))))))))))))))))))))))) :|: 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 + x11782))))))))))))))))))))))))))))))))))))), x11782 >= 0
   2'(z) -{ 2 }-> 4'(1'(1'(4'(3'(2'(3'(1'(4'(1'(4'(4'(1'(3'(1'(2'(3'(4'(4'(2'(1'(1'(1'(1'(3'(3'(4'(3'(1'(1'(4'(4'(2'(1'(3'(1'(0'(0'(3'(x11774))))))))))))))))))))))))))))))))))))))) :|: 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 + x11774))))))))))))))))))))))))))))))))))))), x11774 >= 0
   2'(z) -{ 2 }-> 4'(1'(1'(4'(3'(2'(3'(1'(4'(1'(4'(4'(1'(3'(1'(2'(3'(4'(4'(2'(0'(0'(4'(4'(1'(4'(3'(2'(1'(3'(1'(3'(0'(4'(1'(1'(4'(0'(2'(x11777))))))))))))))))))))))))))))))))))))))) :|: x11777 >= 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 + x11777)))))))))))))))))))))))))))))))))))))
   2'(z) -{ 2 }-> 4'(1'(1'(4'(3'(2'(3'(1'(4'(1'(4'(4'(1'(3'(1'(2'(3'(4'(4'(1'(4'(4'(0'(4'(0'(0'(2'(4'(0'(4'(3'(2'(1'(2'(4'(2'(4'(3'(1'(x11775))))))))))))))))))))))))))))))))))))))) :|: x11775 >= 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 + x11775)))))))))))))))))))))))))))))))))))))
   2'(z) -{ 2 }-> 4'(1'(1'(4'(3'(2'(3'(1'(4'(1'(4'(4'(1'(3'(1'(2'(3'(4'(4'(1'(4'(1'(3'(4'(3'(0'(1'(4'(0'(2'(1'(0'(1'(1'(0'(3'(1'(2'(2'(x11783))))))))))))))))))))))))))))))))))))))) :|: x11783 >= 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 + x11783)))))))))))))))))))))))))))))))))))))
   2'(z) -{ 2 }-> 4'(1'(1'(4'(3'(2'(3'(1'(4'(1'(4'(4'(1'(3'(1'(2'(3'(4'(4'(1'(2'(4'(1'(0'(0'(0'(1'(4'(2'(0'(0'(4'(4'(4'(1'(4'(3'(1'(4'(x11781))))))))))))))))))))))))))))))))))))))) :|: 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 + x11781))))))))))))))))))))))))))))))))))))), x11781 >= 0
   2'(z) -{ 2 }-> 4'(1'(1'(4'(3'(2'(3'(1'(4'(1'(4'(4'(1'(3'(1'(2'(3'(4'(4'(1'(2'(2'(4'(3'(1'(4'(4'(3'(1'(1'(0'(3'(3'(0'(3'(0'(1'(0'(4'(x11779))))))))))))))))))))))))))))))))))))))) :|: 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 + x11779))))))))))))))))))))))))))))))))))))), x11779 >= 0
   2'(z) -{ 1 }-> 4'(1'(1'(4'(3'(2'(3'(1'(4'(1'(4'(4'(1'(3'(1'(2'(3'(4'(4'(0))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   2'(z) -{ 1 }-> 4'(1'(1'(4'(3'(2'(3'(1'(4'(1'(4'(4'(1'(3'(1'(2'(3'(4'(4'(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))))))))))))))))))
   2'(z) -{ 1 }-> 4'(0'(3'(4'(3'(3'(1'(2'(1'(4'(1'(4'(4'(3'(0'(3'(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))))))))))))))))))
   2'(z) -{ 1 }-> 3'(1'(3'(1'(2'(2'(0'(4'(1'(3'(1'(1'(4'(2'(3'(4'(4'(4'(4'(4'(x1)))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   2'(z) -{ 1 }-> 2'(4'(1'(0'(1'(4'(3'(1'(2'(2'(2'(1'(1'(1'(3'(4'(4'(0'(1'(2'(x1)))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   2'(z) -{ 2 }-> 2'(3'(2'(1'(1'(0'(2'(0'(1'(1'(3'(2'(1'(4'(3'(1'(1'(0'(3'(4'(3'(1'(2'(1'(4'(4'(3'(4'(3'(2'(2'(1'(3'(2'(1'(3'(4'(1'(4'(x11789))))))))))))))))))))))))))))))))))))))) :|: x11789 >= 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 + x11789)))))))))))))))))))))))))))))))))))))
   2'(z) -{ 2 }-> 2'(3'(2'(1'(1'(0'(2'(0'(1'(1'(3'(2'(1'(4'(3'(1'(1'(0'(3'(4'(2'(3'(2'(1'(0'(4'(3'(3'(1'(3'(3'(1'(4'(2'(0'(0'(1'(4'(3'(x11791))))))))))))))))))))))))))))))))))))))) :|: 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 + x11791))))))))))))))))))))))))))))))))))))), x11791 >= 0
   2'(z) -{ 2 }-> 2'(3'(2'(1'(1'(0'(2'(0'(1'(1'(3'(2'(1'(4'(3'(1'(1'(0'(3'(4'(1'(2'(4'(1'(3'(3'(4'(3'(3'(3'(1'(2'(2'(4'(1'(0'(3'(3'(1'(x11784))))))))))))))))))))))))))))))))))))))) :|: x11784 >= 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 + x11784)))))))))))))))))))))))))))))))))))))
   2'(z) -{ 2 }-> 2'(3'(2'(1'(1'(0'(2'(0'(1'(1'(3'(2'(1'(4'(3'(1'(1'(0'(3'(3'(2'(2'(0'(3'(0'(2'(2'(1'(2'(1'(0'(3'(4'(1'(3'(1'(2'(1'(2'(x11787))))))))))))))))))))))))))))))))))))))) :|: 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 + x11787))))))))))))))))))))))))))))))))))))), x11787 >= 0
   2'(z) -{ 2 }-> 2'(3'(2'(1'(1'(0'(2'(0'(1'(1'(3'(2'(1'(4'(3'(1'(1'(0'(3'(2'(1'(4'(4'(4'(1'(4'(1'(1'(2'(4'(1'(1'(2'(2'(1'(1'(0'(0'(0'(x11793))))))))))))))))))))))))))))))))))))))) :|: 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 + x11793))))))))))))))))))))))))))))))))))))), x11793 >= 0
   2'(z) -{ 2 }-> 2'(3'(2'(1'(1'(0'(2'(0'(1'(1'(3'(2'(1'(4'(3'(1'(1'(0'(3'(2'(1'(1'(1'(1'(3'(3'(4'(3'(1'(1'(4'(4'(2'(1'(3'(1'(0'(0'(3'(x11785))))))))))))))))))))))))))))))))))))))) :|: x11785 >= 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 + x11785)))))))))))))))))))))))))))))))))))))
   2'(z) -{ 2 }-> 2'(3'(2'(1'(1'(0'(2'(0'(1'(1'(3'(2'(1'(4'(3'(1'(1'(0'(3'(2'(0'(0'(4'(4'(1'(4'(3'(2'(1'(3'(1'(3'(0'(4'(1'(1'(4'(0'(2'(x11788))))))))))))))))))))))))))))))))))))))) :|: x11788 >= 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 + x11788)))))))))))))))))))))))))))))))))))))
   2'(z) -{ 2 }-> 2'(3'(2'(1'(1'(0'(2'(0'(1'(1'(3'(2'(1'(4'(3'(1'(1'(0'(3'(1'(4'(4'(0'(4'(0'(0'(2'(4'(0'(4'(3'(2'(1'(2'(4'(2'(4'(3'(1'(x11786))))))))))))))))))))))))))))))))))))))) :|: 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 + x11786))))))))))))))))))))))))))))))))))))), x11786 >= 0
   2'(z) -{ 2 }-> 2'(3'(2'(1'(1'(0'(2'(0'(1'(1'(3'(2'(1'(4'(3'(1'(1'(0'(3'(1'(4'(1'(3'(4'(3'(0'(1'(4'(0'(2'(1'(0'(1'(1'(0'(3'(1'(2'(2'(x11794))))))))))))))))))))))))))))))))))))))) :|: x11794 >= 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 + x11794)))))))))))))))))))))))))))))))))))))
   2'(z) -{ 2 }-> 2'(3'(2'(1'(1'(0'(2'(0'(1'(1'(3'(2'(1'(4'(3'(1'(1'(0'(3'(1'(2'(4'(1'(0'(0'(0'(1'(4'(2'(0'(0'(4'(4'(4'(1'(4'(3'(1'(4'(x11792))))))))))))))))))))))))))))))))))))))) :|: 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 + x11792))))))))))))))))))))))))))))))))))))), x11792 >= 0
   2'(z) -{ 2 }-> 2'(3'(2'(1'(1'(0'(2'(0'(1'(1'(3'(2'(1'(4'(3'(1'(1'(0'(3'(1'(2'(2'(4'(3'(1'(4'(4'(3'(1'(1'(0'(3'(3'(0'(3'(0'(1'(0'(4'(x11790))))))))))))))))))))))))))))))))))))))) :|: 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 + x11790))))))))))))))))))))))))))))))))))))), x11790 >= 0
   2'(z) -{ 1 }-> 2'(3'(2'(1'(1'(0'(2'(0'(1'(1'(3'(2'(1'(4'(3'(1'(1'(0'(3'(0))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   2'(z) -{ 1 }-> 2'(3'(2'(1'(1'(0'(2'(0'(1'(1'(3'(2'(1'(4'(3'(1'(1'(0'(3'(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))))))))))))))))))
   2'(z) -{ 1 }-> 2'(2'(1'(0'(4'(2'(0'(1'(3'(0'(4'(1'(2'(4'(4'(3'(2'(2'(1'(2'(x1)))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   2'(z) -{ 1 }-> 2'(1'(4'(3'(1'(0'(3'(1'(4'(4'(4'(2'(2'(0'(0'(4'(2'(0'(2'(2'(x1)))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   2'(z) -{ 1 }-> 2'(1'(2'(0'(4'(4'(1'(0'(2'(4'(1'(3'(2'(1'(3'(1'(0'(2'(3'(3'(x1)))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   2'(z) -{ 2 }-> 2'(1'(1'(1'(4'(4'(1'(1'(4'(0'(2'(3'(2'(4'(1'(0'(2'(4'(2'(4'(3'(1'(2'(1'(4'(4'(3'(4'(3'(2'(2'(1'(3'(2'(1'(3'(4'(1'(4'(x1524))))))))))))))))))))))))))))))))))))))) :|: x1524 >= 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 + x1524)))))))))))))))))))))))))))))))))))))
   2'(z) -{ 2 }-> 2'(1'(1'(1'(4'(4'(1'(1'(4'(0'(2'(3'(2'(4'(1'(0'(2'(4'(2'(4'(2'(3'(2'(1'(0'(4'(3'(3'(1'(3'(3'(1'(4'(2'(0'(0'(1'(4'(3'(x1526))))))))))))))))))))))))))))))))))))))) :|: x1526 >= 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 + x1526)))))))))))))))))))))))))))))))))))))
   2'(z) -{ 2 }-> 2'(1'(1'(1'(4'(4'(1'(1'(4'(0'(2'(3'(2'(4'(1'(0'(2'(4'(2'(4'(1'(2'(4'(1'(3'(3'(4'(3'(3'(3'(1'(2'(2'(4'(1'(0'(3'(3'(1'(x1519))))))))))))))))))))))))))))))))))))))) :|: x1519 >= 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 + x1519)))))))))))))))))))))))))))))))))))))
   2'(z) -{ 2 }-> 2'(1'(1'(1'(4'(4'(1'(1'(4'(0'(2'(3'(2'(4'(1'(0'(2'(4'(2'(3'(2'(2'(0'(3'(0'(2'(2'(1'(2'(1'(0'(3'(4'(1'(3'(1'(2'(1'(2'(x1522))))))))))))))))))))))))))))))))))))))) :|: 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 + x1522))))))))))))))))))))))))))))))))))))), x1522 >= 0
   2'(z) -{ 2 }-> 2'(1'(1'(1'(4'(4'(1'(1'(4'(0'(2'(3'(2'(4'(1'(0'(2'(4'(2'(2'(1'(4'(4'(4'(1'(4'(1'(1'(2'(4'(1'(1'(2'(2'(1'(1'(0'(0'(0'(x1528))))))))))))))))))))))))))))))))))))))) :|: x1528 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1528)))))))))))))))))))))))))))))))))))))
   2'(z) -{ 2 }-> 2'(1'(1'(1'(4'(4'(1'(1'(4'(0'(2'(3'(2'(4'(1'(0'(2'(4'(2'(2'(1'(1'(1'(1'(3'(3'(4'(3'(1'(1'(4'(4'(2'(1'(3'(1'(0'(0'(3'(x1520))))))))))))))))))))))))))))))))))))))) :|: x1520 >= 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 + x1520)))))))))))))))))))))))))))))))))))))
   2'(z) -{ 2 }-> 2'(1'(1'(1'(4'(4'(1'(1'(4'(0'(2'(3'(2'(4'(1'(0'(2'(4'(2'(2'(0'(0'(4'(4'(1'(4'(3'(2'(1'(3'(1'(3'(0'(4'(1'(1'(4'(0'(2'(x1523))))))))))))))))))))))))))))))))))))))) :|: 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 + x1523))))))))))))))))))))))))))))))))))))), x1523 >= 0
   2'(z) -{ 2 }-> 2'(1'(1'(1'(4'(4'(1'(1'(4'(0'(2'(3'(2'(4'(1'(0'(2'(4'(2'(1'(4'(4'(0'(4'(0'(0'(2'(4'(0'(4'(3'(2'(1'(2'(4'(2'(4'(3'(1'(x1521))))))))))))))))))))))))))))))))))))))) :|: 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 + x1521))))))))))))))))))))))))))))))))))))), x1521 >= 0
   2'(z) -{ 2 }-> 2'(1'(1'(1'(4'(4'(1'(1'(4'(0'(2'(3'(2'(4'(1'(0'(2'(4'(2'(1'(4'(1'(3'(4'(3'(0'(1'(4'(0'(2'(1'(0'(1'(1'(0'(3'(1'(2'(2'(x1529))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1529))))))))))))))))))))))))))))))))))))), x1529 >= 0
   2'(z) -{ 2 }-> 2'(1'(1'(1'(4'(4'(1'(1'(4'(0'(2'(3'(2'(4'(1'(0'(2'(4'(2'(1'(2'(4'(1'(0'(0'(0'(1'(4'(2'(0'(0'(4'(4'(4'(1'(4'(3'(1'(4'(x1527))))))))))))))))))))))))))))))))))))))) :|: x1527 >= 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 + x1527)))))))))))))))))))))))))))))))))))))
   2'(z) -{ 2 }-> 2'(1'(1'(1'(4'(4'(1'(1'(4'(0'(2'(3'(2'(4'(1'(0'(2'(4'(2'(1'(2'(2'(4'(3'(1'(4'(4'(3'(1'(1'(0'(3'(3'(0'(3'(0'(1'(0'(4'(x1525))))))))))))))))))))))))))))))))))))))) :|: 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 + x1525))))))))))))))))))))))))))))))))))))), x1525 >= 0
   2'(z) -{ 1 }-> 2'(1'(1'(1'(4'(4'(1'(1'(4'(0'(2'(3'(2'(4'(1'(0'(2'(4'(2'(0))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   2'(z) -{ 1 }-> 2'(1'(1'(1'(4'(4'(1'(1'(4'(0'(2'(3'(2'(4'(1'(0'(2'(4'(2'(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))))))))))))))))))
   2'(z) -{ 1 }-> 1'(3'(4'(2'(0'(1'(1'(3'(1'(3'(4'(4'(2'(3'(1'(0'(1'(3'(1'(3'(x1)))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   2'(z) -{ 2 }-> 1'(3'(0'(4'(4'(1'(3'(2'(1'(0'(2'(4'(1'(0'(2'(2'(0'(4'(4'(4'(3'(1'(2'(1'(4'(4'(3'(4'(3'(2'(2'(1'(3'(2'(1'(3'(4'(1'(4'(x1302))))))))))))))))))))))))))))))))))))))) :|: 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 + x1302))))))))))))))))))))))))))))))))))))), x1302 >= 0
   2'(z) -{ 2 }-> 1'(3'(0'(4'(4'(1'(3'(2'(1'(0'(2'(4'(1'(0'(2'(2'(0'(4'(4'(4'(2'(3'(2'(1'(0'(4'(3'(3'(1'(3'(3'(1'(4'(2'(0'(0'(1'(4'(3'(x1304))))))))))))))))))))))))))))))))))))))) :|: 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 + x1304))))))))))))))))))))))))))))))))))))), x1304 >= 0
   2'(z) -{ 2 }-> 1'(3'(0'(4'(4'(1'(3'(2'(1'(0'(2'(4'(1'(0'(2'(2'(0'(4'(4'(4'(1'(2'(4'(1'(3'(3'(4'(3'(3'(3'(1'(2'(2'(4'(1'(0'(3'(3'(1'(x1297))))))))))))))))))))))))))))))))))))))) :|: 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 + x1297))))))))))))))))))))))))))))))))))))), x1297 >= 0
   2'(z) -{ 2 }-> 1'(3'(0'(4'(4'(1'(3'(2'(1'(0'(2'(4'(1'(0'(2'(2'(0'(4'(4'(3'(2'(2'(0'(3'(0'(2'(2'(1'(2'(1'(0'(3'(4'(1'(3'(1'(2'(1'(2'(x1300))))))))))))))))))))))))))))))))))))))) :|: 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 + x1300))))))))))))))))))))))))))))))))))))), x1300 >= 0
   2'(z) -{ 2 }-> 1'(3'(0'(4'(4'(1'(3'(2'(1'(0'(2'(4'(1'(0'(2'(2'(0'(4'(4'(2'(1'(4'(4'(4'(1'(4'(1'(1'(2'(4'(1'(1'(2'(2'(1'(1'(0'(0'(0'(x1306))))))))))))))))))))))))))))))))))))))) :|: 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 + x1306))))))))))))))))))))))))))))))))))))), x1306 >= 0
   2'(z) -{ 2 }-> 1'(3'(0'(4'(4'(1'(3'(2'(1'(0'(2'(4'(1'(0'(2'(2'(0'(4'(4'(2'(1'(1'(1'(1'(3'(3'(4'(3'(1'(1'(4'(4'(2'(1'(3'(1'(0'(0'(3'(x1298))))))))))))))))))))))))))))))))))))))) :|: 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 + x1298))))))))))))))))))))))))))))))))))))), x1298 >= 0
   2'(z) -{ 2 }-> 1'(3'(0'(4'(4'(1'(3'(2'(1'(0'(2'(4'(1'(0'(2'(2'(0'(4'(4'(2'(0'(0'(4'(4'(1'(4'(3'(2'(1'(3'(1'(3'(0'(4'(1'(1'(4'(0'(2'(x1301))))))))))))))))))))))))))))))))))))))) :|: x1301 >= 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 + x1301)))))))))))))))))))))))))))))))))))))
   2'(z) -{ 2 }-> 1'(3'(0'(4'(4'(1'(3'(2'(1'(0'(2'(4'(1'(0'(2'(2'(0'(4'(4'(1'(4'(4'(0'(4'(0'(0'(2'(4'(0'(4'(3'(2'(1'(2'(4'(2'(4'(3'(1'(x1299))))))))))))))))))))))))))))))))))))))) :|: x1299 >= 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 + x1299)))))))))))))))))))))))))))))))))))))
   2'(z) -{ 2 }-> 1'(3'(0'(4'(4'(1'(3'(2'(1'(0'(2'(4'(1'(0'(2'(2'(0'(4'(4'(1'(4'(1'(3'(4'(3'(0'(1'(4'(0'(2'(1'(0'(1'(1'(0'(3'(1'(2'(2'(x1307))))))))))))))))))))))))))))))))))))))) :|: 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 + x1307))))))))))))))))))))))))))))))))))))), x1307 >= 0
   2'(z) -{ 2 }-> 1'(3'(0'(4'(4'(1'(3'(2'(1'(0'(2'(4'(1'(0'(2'(2'(0'(4'(4'(1'(2'(4'(1'(0'(0'(0'(1'(4'(2'(0'(0'(4'(4'(4'(1'(4'(3'(1'(4'(x1305))))))))))))))))))))))))))))))))))))))) :|: x1305 >= 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 + x1305)))))))))))))))))))))))))))))))))))))
   2'(z) -{ 2 }-> 1'(3'(0'(4'(4'(1'(3'(2'(1'(0'(2'(4'(1'(0'(2'(2'(0'(4'(4'(1'(2'(2'(4'(3'(1'(4'(4'(3'(1'(1'(0'(3'(3'(0'(3'(0'(1'(0'(4'(x1303))))))))))))))))))))))))))))))))))))))) :|: 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 + x1303))))))))))))))))))))))))))))))))))))), x1303 >= 0
   2'(z) -{ 1 }-> 1'(3'(0'(4'(4'(1'(3'(2'(1'(0'(2'(4'(1'(0'(2'(2'(0'(4'(4'(0))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   2'(z) -{ 1 }-> 1'(3'(0'(4'(4'(1'(3'(2'(1'(0'(2'(4'(1'(0'(2'(2'(0'(4'(4'(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))))))))))))))))))
   2'(z) -{ 2 }-> 1'(0'(2'(2'(2'(3'(3'(1'(0'(4'(3'(1'(4'(2'(2'(1'(1'(0'(3'(4'(3'(1'(2'(1'(4'(4'(3'(4'(3'(2'(2'(1'(3'(2'(1'(3'(4'(1'(4'(x1713))))))))))))))))))))))))))))))))))))))) :|: 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 + x1713))))))))))))))))))))))))))))))))))))), x1713 >= 0
   2'(z) -{ 2 }-> 1'(0'(2'(2'(2'(3'(3'(1'(0'(4'(3'(1'(4'(2'(2'(1'(1'(0'(3'(4'(2'(3'(2'(1'(0'(4'(3'(3'(1'(3'(3'(1'(4'(2'(0'(0'(1'(4'(3'(x1715))))))))))))))))))))))))))))))))))))))) :|: x1715 >= 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 + x1715)))))))))))))))))))))))))))))))))))))
   2'(z) -{ 2 }-> 1'(0'(2'(2'(2'(3'(3'(1'(0'(4'(3'(1'(4'(2'(2'(1'(1'(0'(3'(4'(1'(2'(4'(1'(3'(3'(4'(3'(3'(3'(1'(2'(2'(4'(1'(0'(3'(3'(1'(x1708))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1708))))))))))))))))))))))))))))))))))))), x1708 >= 0
   2'(z) -{ 2 }-> 1'(0'(2'(2'(2'(3'(3'(1'(0'(4'(3'(1'(4'(2'(2'(1'(1'(0'(3'(3'(2'(2'(0'(3'(0'(2'(2'(1'(2'(1'(0'(3'(4'(1'(3'(1'(2'(1'(2'(x1711))))))))))))))))))))))))))))))))))))))) :|: x1711 >= 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 + x1711)))))))))))))))))))))))))))))))))))))
   2'(z) -{ 2 }-> 1'(0'(2'(2'(2'(3'(3'(1'(0'(4'(3'(1'(4'(2'(2'(1'(1'(0'(3'(2'(1'(4'(4'(4'(1'(4'(1'(1'(2'(4'(1'(1'(2'(2'(1'(1'(0'(0'(0'(x1717))))))))))))))))))))))))))))))))))))))) :|: x1717 >= 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 + x1717)))))))))))))))))))))))))))))))))))))
   2'(z) -{ 2 }-> 1'(0'(2'(2'(2'(3'(3'(1'(0'(4'(3'(1'(4'(2'(2'(1'(1'(0'(3'(2'(1'(1'(1'(1'(3'(3'(4'(3'(1'(1'(4'(4'(2'(1'(3'(1'(0'(0'(3'(x1709))))))))))))))))))))))))))))))))))))))) :|: 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 + x1709))))))))))))))))))))))))))))))))))))), x1709 >= 0
   2'(z) -{ 2 }-> 1'(0'(2'(2'(2'(3'(3'(1'(0'(4'(3'(1'(4'(2'(2'(1'(1'(0'(3'(2'(0'(0'(4'(4'(1'(4'(3'(2'(1'(3'(1'(3'(0'(4'(1'(1'(4'(0'(2'(x1712))))))))))))))))))))))))))))))))))))))) :|: x1712 >= 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 + x1712)))))))))))))))))))))))))))))))))))))
   2'(z) -{ 2 }-> 1'(0'(2'(2'(2'(3'(3'(1'(0'(4'(3'(1'(4'(2'(2'(1'(1'(0'(3'(1'(4'(4'(0'(4'(0'(0'(2'(4'(0'(4'(3'(2'(1'(2'(4'(2'(4'(3'(1'(x1710))))))))))))))))))))))))))))))))))))))) :|: 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 + x1710))))))))))))))))))))))))))))))))))))), x1710 >= 0
   2'(z) -{ 2 }-> 1'(0'(2'(2'(2'(3'(3'(1'(0'(4'(3'(1'(4'(2'(2'(1'(1'(0'(3'(1'(4'(1'(3'(4'(3'(0'(1'(4'(0'(2'(1'(0'(1'(1'(0'(3'(1'(2'(2'(x1718))))))))))))))))))))))))))))))))))))))) :|: 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 + x1718))))))))))))))))))))))))))))))))))))), x1718 >= 0
   2'(z) -{ 2 }-> 1'(0'(2'(2'(2'(3'(3'(1'(0'(4'(3'(1'(4'(2'(2'(1'(1'(0'(3'(1'(2'(4'(1'(0'(0'(0'(1'(4'(2'(0'(0'(4'(4'(4'(1'(4'(3'(1'(4'(x1716))))))))))))))))))))))))))))))))))))))) :|: 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 + x1716))))))))))))))))))))))))))))))))))))), x1716 >= 0
   2'(z) -{ 2 }-> 1'(0'(2'(2'(2'(3'(3'(1'(0'(4'(3'(1'(4'(2'(2'(1'(1'(0'(3'(1'(2'(2'(4'(3'(1'(4'(4'(3'(1'(1'(0'(3'(3'(0'(3'(0'(1'(0'(4'(x1714))))))))))))))))))))))))))))))))))))))) :|: 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 + x1714))))))))))))))))))))))))))))))))))))), x1714 >= 0
   2'(z) -{ 1 }-> 1'(0'(2'(2'(2'(3'(3'(1'(0'(4'(3'(1'(4'(2'(2'(1'(1'(0'(3'(0))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   2'(z) -{ 1 }-> 1'(0'(2'(2'(2'(3'(3'(1'(0'(4'(3'(1'(4'(2'(2'(1'(1'(0'(3'(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))))))))))))))))))
   2'(z) -{ 2 }-> 1'(0'(0'(4'(3'(3'(0'(3'(2'(2'(4'(3'(2'(2'(1'(1'(3'(1'(4'(4'(3'(1'(2'(1'(4'(4'(3'(4'(3'(2'(2'(1'(3'(2'(1'(3'(4'(1'(4'(x1271))))))))))))))))))))))))))))))))))))))) :|: 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 + x1271))))))))))))))))))))))))))))))))))))), x1271 >= 0
   2'(z) -{ 2 }-> 1'(0'(0'(4'(3'(3'(0'(3'(2'(2'(4'(3'(2'(2'(1'(1'(3'(1'(4'(4'(2'(3'(2'(1'(0'(4'(3'(3'(1'(3'(3'(1'(4'(2'(0'(0'(1'(4'(3'(x1273))))))))))))))))))))))))))))))))))))))) :|: x1273 >= 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 + x1273)))))))))))))))))))))))))))))))))))))
   2'(z) -{ 2 }-> 1'(0'(0'(4'(3'(3'(0'(3'(2'(2'(4'(3'(2'(2'(1'(1'(3'(1'(4'(4'(1'(2'(4'(1'(3'(3'(4'(3'(3'(3'(1'(2'(2'(4'(1'(0'(3'(3'(1'(x1266))))))))))))))))))))))))))))))))))))))) :|: 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 + x1266))))))))))))))))))))))))))))))))))))), x1266 >= 0
   2'(z) -{ 2 }-> 1'(0'(0'(4'(3'(3'(0'(3'(2'(2'(4'(3'(2'(2'(1'(1'(3'(1'(4'(3'(2'(2'(0'(3'(0'(2'(2'(1'(2'(1'(0'(3'(4'(1'(3'(1'(2'(1'(2'(x1269))))))))))))))))))))))))))))))))))))))) :|: x1269 >= 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 + x1269)))))))))))))))))))))))))))))))))))))
   2'(z) -{ 2 }-> 1'(0'(0'(4'(3'(3'(0'(3'(2'(2'(4'(3'(2'(2'(1'(1'(3'(1'(4'(2'(1'(4'(4'(4'(1'(4'(1'(1'(2'(4'(1'(1'(2'(2'(1'(1'(0'(0'(0'(x1275))))))))))))))))))))))))))))))))))))))) :|: 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 + x1275))))))))))))))))))))))))))))))))))))), x1275 >= 0
   2'(z) -{ 2 }-> 1'(0'(0'(4'(3'(3'(0'(3'(2'(2'(4'(3'(2'(2'(1'(1'(3'(1'(4'(2'(1'(1'(1'(1'(3'(3'(4'(3'(1'(1'(4'(4'(2'(1'(3'(1'(0'(0'(3'(x1267))))))))))))))))))))))))))))))))))))))) :|: x1267 >= 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 + x1267)))))))))))))))))))))))))))))))))))))
   2'(z) -{ 2 }-> 1'(0'(0'(4'(3'(3'(0'(3'(2'(2'(4'(3'(2'(2'(1'(1'(3'(1'(4'(2'(0'(0'(4'(4'(1'(4'(3'(2'(1'(3'(1'(3'(0'(4'(1'(1'(4'(0'(2'(x1270))))))))))))))))))))))))))))))))))))))) :|: 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 + x1270))))))))))))))))))))))))))))))))))))), x1270 >= 0
   2'(z) -{ 2 }-> 1'(0'(0'(4'(3'(3'(0'(3'(2'(2'(4'(3'(2'(2'(1'(1'(3'(1'(4'(1'(4'(4'(0'(4'(0'(0'(2'(4'(0'(4'(3'(2'(1'(2'(4'(2'(4'(3'(1'(x1268))))))))))))))))))))))))))))))))))))))) :|: 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 + x1268))))))))))))))))))))))))))))))))))))), x1268 >= 0
   2'(z) -{ 2 }-> 1'(0'(0'(4'(3'(3'(0'(3'(2'(2'(4'(3'(2'(2'(1'(1'(3'(1'(4'(1'(4'(1'(3'(4'(3'(0'(1'(4'(0'(2'(1'(0'(1'(1'(0'(3'(1'(2'(2'(x1276))))))))))))))))))))))))))))))))))))))) :|: 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 + x1276))))))))))))))))))))))))))))))))))))), x1276 >= 0
   2'(z) -{ 2 }-> 1'(0'(0'(4'(3'(3'(0'(3'(2'(2'(4'(3'(2'(2'(1'(1'(3'(1'(4'(1'(2'(4'(1'(0'(0'(0'(1'(4'(2'(0'(0'(4'(4'(4'(1'(4'(3'(1'(4'(x1274))))))))))))))))))))))))))))))))))))))) :|: x1274 >= 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 + x1274)))))))))))))))))))))))))))))))))))))
   2'(z) -{ 2 }-> 1'(0'(0'(4'(3'(3'(0'(3'(2'(2'(4'(3'(2'(2'(1'(1'(3'(1'(4'(1'(2'(2'(4'(3'(1'(4'(4'(3'(1'(1'(0'(3'(3'(0'(3'(0'(1'(0'(4'(x1272))))))))))))))))))))))))))))))))))))))) :|: x1272 >= 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 + x1272)))))))))))))))))))))))))))))))))))))
   2'(z) -{ 1 }-> 1'(0'(0'(4'(3'(3'(0'(3'(2'(2'(4'(3'(2'(2'(1'(1'(3'(1'(4'(0))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   2'(z) -{ 1 }-> 1'(0'(0'(4'(3'(3'(0'(3'(2'(2'(4'(3'(2'(2'(1'(1'(3'(1'(4'(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))))))))))))))))))
   2'(z) -{ 1 }-> 0'(4'(3'(4'(1'(0'(3'(4'(4'(4'(3'(0'(4'(0'(1'(2'(1'(3'(1'(4'(x1)))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   2'(z) -{ 2 }-> 0'(4'(0'(1'(2'(2'(1'(4'(2'(1'(4'(3'(0'(4'(3'(4'(1'(1'(3'(4'(3'(1'(2'(1'(4'(4'(3'(4'(3'(2'(2'(1'(3'(2'(1'(3'(4'(1'(4'(x11190))))))))))))))))))))))))))))))))))))))) :|: 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 + x11190))))))))))))))))))))))))))))))))))))), x11190 >= 0
   2'(z) -{ 2 }-> 0'(4'(0'(1'(2'(2'(1'(4'(2'(1'(4'(3'(0'(4'(3'(4'(1'(1'(3'(4'(2'(3'(2'(1'(0'(4'(3'(3'(1'(3'(3'(1'(4'(2'(0'(0'(1'(4'(3'(x11192))))))))))))))))))))))))))))))))))))))) :|: 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 + x11192))))))))))))))))))))))))))))))))))))), x11192 >= 0
   2'(z) -{ 2 }-> 0'(4'(0'(1'(2'(2'(1'(4'(2'(1'(4'(3'(0'(4'(3'(4'(1'(1'(3'(4'(1'(2'(4'(1'(3'(3'(4'(3'(3'(3'(1'(2'(2'(4'(1'(0'(3'(3'(1'(x11185))))))))))))))))))))))))))))))))))))))) :|: x11185 >= 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 + x11185)))))))))))))))))))))))))))))))))))))
   2'(z) -{ 2 }-> 0'(4'(0'(1'(2'(2'(1'(4'(2'(1'(4'(3'(0'(4'(3'(4'(1'(1'(3'(3'(2'(2'(0'(3'(0'(2'(2'(1'(2'(1'(0'(3'(4'(1'(3'(1'(2'(1'(2'(x11188))))))))))))))))))))))))))))))))))))))) :|: x11188 >= 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 + x11188)))))))))))))))))))))))))))))))))))))
   2'(z) -{ 2 }-> 0'(4'(0'(1'(2'(2'(1'(4'(2'(1'(4'(3'(0'(4'(3'(4'(1'(1'(3'(2'(1'(4'(4'(4'(1'(4'(1'(1'(2'(4'(1'(1'(2'(2'(1'(1'(0'(0'(0'(x11194))))))))))))))))))))))))))))))))))))))) :|: 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 + x11194))))))))))))))))))))))))))))))))))))), x11194 >= 0
   2'(z) -{ 2 }-> 0'(4'(0'(1'(2'(2'(1'(4'(2'(1'(4'(3'(0'(4'(3'(4'(1'(1'(3'(2'(1'(1'(1'(1'(3'(3'(4'(3'(1'(1'(4'(4'(2'(1'(3'(1'(0'(0'(3'(x11186))))))))))))))))))))))))))))))))))))))) :|: 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 + x11186))))))))))))))))))))))))))))))))))))), x11186 >= 0
   2'(z) -{ 2 }-> 0'(4'(0'(1'(2'(2'(1'(4'(2'(1'(4'(3'(0'(4'(3'(4'(1'(1'(3'(2'(0'(0'(4'(4'(1'(4'(3'(2'(1'(3'(1'(3'(0'(4'(1'(1'(4'(0'(2'(x11189))))))))))))))))))))))))))))))))))))))) :|: 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 + x11189))))))))))))))))))))))))))))))))))))), x11189 >= 0
   2'(z) -{ 2 }-> 0'(4'(0'(1'(2'(2'(1'(4'(2'(1'(4'(3'(0'(4'(3'(4'(1'(1'(3'(1'(4'(4'(0'(4'(0'(0'(2'(4'(0'(4'(3'(2'(1'(2'(4'(2'(4'(3'(1'(x11187))))))))))))))))))))))))))))))))))))))) :|: 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 + x11187))))))))))))))))))))))))))))))))))))), x11187 >= 0
   2'(z) -{ 2 }-> 0'(4'(0'(1'(2'(2'(1'(4'(2'(1'(4'(3'(0'(4'(3'(4'(1'(1'(3'(1'(4'(1'(3'(4'(3'(0'(1'(4'(0'(2'(1'(0'(1'(1'(0'(3'(1'(2'(2'(x11195))))))))))))))))))))))))))))))))))))))) :|: 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 + x11195))))))))))))))))))))))))))))))))))))), x11195 >= 0
   2'(z) -{ 2 }-> 0'(4'(0'(1'(2'(2'(1'(4'(2'(1'(4'(3'(0'(4'(3'(4'(1'(1'(3'(1'(2'(4'(1'(0'(0'(0'(1'(4'(2'(0'(0'(4'(4'(4'(1'(4'(3'(1'(4'(x11193))))))))))))))))))))))))))))))))))))))) :|: x11193 >= 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 + x11193)))))))))))))))))))))))))))))))))))))
   2'(z) -{ 2 }-> 0'(4'(0'(1'(2'(2'(1'(4'(2'(1'(4'(3'(0'(4'(3'(4'(1'(1'(3'(1'(2'(2'(4'(3'(1'(4'(4'(3'(1'(1'(0'(3'(3'(0'(3'(0'(1'(0'(4'(x11191))))))))))))))))))))))))))))))))))))))) :|: x11191 >= 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 + x11191)))))))))))))))))))))))))))))))))))))
   2'(z) -{ 1 }-> 0'(4'(0'(1'(2'(2'(1'(4'(2'(1'(4'(3'(0'(4'(3'(4'(1'(1'(3'(0))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   2'(z) -{ 1 }-> 0'(4'(0'(1'(2'(2'(1'(4'(2'(1'(4'(3'(0'(4'(3'(4'(1'(1'(3'(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))))))))))))))))))
   2'(z) -{ 2 }-> 0'(2'(0'(4'(3'(3'(2'(1'(4'(4'(1'(2'(0'(1'(2'(4'(3'(3'(4'(4'(3'(1'(2'(1'(4'(4'(3'(4'(3'(2'(2'(1'(3'(2'(1'(3'(4'(1'(4'(x11688))))))))))))))))))))))))))))))))))))))) :|: 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 + x11688))))))))))))))))))))))))))))))))))))), x11688 >= 0
   2'(z) -{ 2 }-> 0'(2'(0'(4'(3'(3'(2'(1'(4'(4'(1'(2'(0'(1'(2'(4'(3'(3'(4'(4'(2'(3'(2'(1'(0'(4'(3'(3'(1'(3'(3'(1'(4'(2'(0'(0'(1'(4'(3'(x11690))))))))))))))))))))))))))))))))))))))) :|: x11690 >= 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 + x11690)))))))))))))))))))))))))))))))))))))
   2'(z) -{ 2 }-> 0'(2'(0'(4'(3'(3'(2'(1'(4'(4'(1'(2'(0'(1'(2'(4'(3'(3'(4'(4'(1'(2'(4'(1'(3'(3'(4'(3'(3'(3'(1'(2'(2'(4'(1'(0'(3'(3'(1'(x11683))))))))))))))))))))))))))))))))))))))) :|: x11683 >= 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 + x11683)))))))))))))))))))))))))))))))))))))
   2'(z) -{ 2 }-> 0'(2'(0'(4'(3'(3'(2'(1'(4'(4'(1'(2'(0'(1'(2'(4'(3'(3'(4'(3'(2'(2'(0'(3'(0'(2'(2'(1'(2'(1'(0'(3'(4'(1'(3'(1'(2'(1'(2'(x11686))))))))))))))))))))))))))))))))))))))) :|: 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 + x11686))))))))))))))))))))))))))))))))))))), x11686 >= 0
   2'(z) -{ 2 }-> 0'(2'(0'(4'(3'(3'(2'(1'(4'(4'(1'(2'(0'(1'(2'(4'(3'(3'(4'(2'(1'(4'(4'(4'(1'(4'(1'(1'(2'(4'(1'(1'(2'(2'(1'(1'(0'(0'(0'(x11692))))))))))))))))))))))))))))))))))))))) :|: 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 + x11692))))))))))))))))))))))))))))))))))))), x11692 >= 0
   2'(z) -{ 2 }-> 0'(2'(0'(4'(3'(3'(2'(1'(4'(4'(1'(2'(0'(1'(2'(4'(3'(3'(4'(2'(1'(1'(1'(1'(3'(3'(4'(3'(1'(1'(4'(4'(2'(1'(3'(1'(0'(0'(3'(x11684))))))))))))))))))))))))))))))))))))))) :|: 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 + x11684))))))))))))))))))))))))))))))))))))), x11684 >= 0
   2'(z) -{ 2 }-> 0'(2'(0'(4'(3'(3'(2'(1'(4'(4'(1'(2'(0'(1'(2'(4'(3'(3'(4'(2'(0'(0'(4'(4'(1'(4'(3'(2'(1'(3'(1'(3'(0'(4'(1'(1'(4'(0'(2'(x11687))))))))))))))))))))))))))))))))))))))) :|: x11687 >= 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 + x11687)))))))))))))))))))))))))))))))))))))
   2'(z) -{ 2 }-> 0'(2'(0'(4'(3'(3'(2'(1'(4'(4'(1'(2'(0'(1'(2'(4'(3'(3'(4'(1'(4'(4'(0'(4'(0'(0'(2'(4'(0'(4'(3'(2'(1'(2'(4'(2'(4'(3'(1'(x11685))))))))))))))))))))))))))))))))))))))) :|: x11685 >= 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 + x11685)))))))))))))))))))))))))))))))))))))
   2'(z) -{ 2 }-> 0'(2'(0'(4'(3'(3'(2'(1'(4'(4'(1'(2'(0'(1'(2'(4'(3'(3'(4'(1'(4'(1'(3'(4'(3'(0'(1'(4'(0'(2'(1'(0'(1'(1'(0'(3'(1'(2'(2'(x11693))))))))))))))))))))))))))))))))))))))) :|: 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 + x11693))))))))))))))))))))))))))))))))))))), x11693 >= 0
   2'(z) -{ 2 }-> 0'(2'(0'(4'(3'(3'(2'(1'(4'(4'(1'(2'(0'(1'(2'(4'(3'(3'(4'(1'(2'(4'(1'(0'(0'(0'(1'(4'(2'(0'(0'(4'(4'(4'(1'(4'(3'(1'(4'(x11691))))))))))))))))))))))))))))))))))))))) :|: 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 + x11691))))))))))))))))))))))))))))))))))))), x11691 >= 0
   2'(z) -{ 2 }-> 0'(2'(0'(4'(3'(3'(2'(1'(4'(4'(1'(2'(0'(1'(2'(4'(3'(3'(4'(1'(2'(2'(4'(3'(1'(4'(4'(3'(1'(1'(0'(3'(3'(0'(3'(0'(1'(0'(4'(x11689))))))))))))))))))))))))))))))))))))))) :|: x11689 >= 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 + x11689)))))))))))))))))))))))))))))))))))))
   2'(z) -{ 1 }-> 0'(2'(0'(4'(3'(3'(2'(1'(4'(4'(1'(2'(0'(1'(2'(4'(3'(3'(4'(0))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   2'(z) -{ 1 }-> 0'(2'(0'(4'(3'(3'(2'(1'(4'(4'(1'(2'(0'(1'(2'(4'(3'(3'(4'(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))))))))))))))))))
   2'(z) -{ 0 }-> 0 :|: v0 >= 0, z = v0
   2'(z) -{ 0 }-> 1 + x0 :|: z = x0, x0 >= 0
   3'(z) -{ 1 }-> 4'(4'(3'(2'(4'(2'(1'(2'(0'(0'(1'(4'(2'(3'(0'(0'(1'(0'(1'(4'(x1)))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   3'(z) -{ 1 }-> 4'(2'(4'(2'(0'(1'(2'(3'(4'(1'(0'(3'(1'(2'(2'(0'(4'(4'(2'(4'(x1)))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   3'(z) -{ 1 }-> 4'(2'(1'(4'(1'(2'(2'(2'(2'(2'(3'(1'(0'(1'(2'(4'(3'(1'(2'(4'(x1)))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   3'(z) -{ 1 }-> 4'(1'(4'(0'(1'(4'(1'(2'(2'(4'(2'(2'(1'(2'(2'(1'(1'(1'(3'(2'(x1)))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   3'(z) -{ 2 }-> 4'(0'(1'(3'(1'(2'(1'(0'(1'(1'(2'(3'(0'(4'(3'(3'(1'(3'(0'(4'(3'(1'(2'(1'(4'(4'(3'(4'(3'(2'(2'(1'(3'(2'(1'(3'(4'(1'(4'(x1333))))))))))))))))))))))))))))))))))))))) :|: x1333 >= 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 + x1333)))))))))))))))))))))))))))))))))))))
   3'(z) -{ 2 }-> 4'(0'(1'(3'(1'(2'(1'(0'(1'(1'(2'(3'(0'(4'(3'(3'(1'(3'(0'(4'(2'(3'(2'(1'(0'(4'(3'(3'(1'(3'(3'(1'(4'(2'(0'(0'(1'(4'(3'(x1335))))))))))))))))))))))))))))))))))))))) :|: 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 + x1335))))))))))))))))))))))))))))))))))))), x1335 >= 0
   3'(z) -{ 2 }-> 4'(0'(1'(3'(1'(2'(1'(0'(1'(1'(2'(3'(0'(4'(3'(3'(1'(3'(0'(4'(1'(2'(4'(1'(3'(3'(4'(3'(3'(3'(1'(2'(2'(4'(1'(0'(3'(3'(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
   3'(z) -{ 2 }-> 4'(0'(1'(3'(1'(2'(1'(0'(1'(1'(2'(3'(0'(4'(3'(3'(1'(3'(0'(3'(2'(2'(0'(3'(0'(2'(2'(1'(2'(1'(0'(3'(4'(1'(3'(1'(2'(1'(2'(x1331))))))))))))))))))))))))))))))))))))))) :|: x1331 >= 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 + x1331)))))))))))))))))))))))))))))))))))))
   3'(z) -{ 2 }-> 4'(0'(1'(3'(1'(2'(1'(0'(1'(1'(2'(3'(0'(4'(3'(3'(1'(3'(0'(2'(1'(4'(4'(4'(1'(4'(1'(1'(2'(4'(1'(1'(2'(2'(1'(1'(0'(0'(0'(x1337))))))))))))))))))))))))))))))))))))))) :|: 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 + x1337))))))))))))))))))))))))))))))))))))), x1337 >= 0
   3'(z) -{ 2 }-> 4'(0'(1'(3'(1'(2'(1'(0'(1'(1'(2'(3'(0'(4'(3'(3'(1'(3'(0'(2'(1'(1'(1'(1'(3'(3'(4'(3'(1'(1'(4'(4'(2'(1'(3'(1'(0'(0'(3'(x1329))))))))))))))))))))))))))))))))))))))) :|: x1329 >= 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 + x1329)))))))))))))))))))))))))))))))))))))
   3'(z) -{ 2 }-> 4'(0'(1'(3'(1'(2'(1'(0'(1'(1'(2'(3'(0'(4'(3'(3'(1'(3'(0'(2'(0'(0'(4'(4'(1'(4'(3'(2'(1'(3'(1'(3'(0'(4'(1'(1'(4'(0'(2'(x1332))))))))))))))))))))))))))))))))))))))) :|: x1332 >= 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 + x1332)))))))))))))))))))))))))))))))))))))
   3'(z) -{ 2 }-> 4'(0'(1'(3'(1'(2'(1'(0'(1'(1'(2'(3'(0'(4'(3'(3'(1'(3'(0'(1'(4'(4'(0'(4'(0'(0'(2'(4'(0'(4'(3'(2'(1'(2'(4'(2'(4'(3'(1'(x1330))))))))))))))))))))))))))))))))))))))) :|: 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 + x1330))))))))))))))))))))))))))))))))))))), x1330 >= 0
   3'(z) -{ 2 }-> 4'(0'(1'(3'(1'(2'(1'(0'(1'(1'(2'(3'(0'(4'(3'(3'(1'(3'(0'(1'(4'(1'(3'(4'(3'(0'(1'(4'(0'(2'(1'(0'(1'(1'(0'(3'(1'(2'(2'(x1338))))))))))))))))))))))))))))))))))))))) :|: x1338 >= 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 + x1338)))))))))))))))))))))))))))))))))))))
   3'(z) -{ 2 }-> 4'(0'(1'(3'(1'(2'(1'(0'(1'(1'(2'(3'(0'(4'(3'(3'(1'(3'(0'(1'(2'(4'(1'(0'(0'(0'(1'(4'(2'(0'(0'(4'(4'(4'(1'(4'(3'(1'(4'(x1336))))))))))))))))))))))))))))))))))))))) :|: 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 + x1336))))))))))))))))))))))))))))))))))))), x1336 >= 0
   3'(z) -{ 2 }-> 4'(0'(1'(3'(1'(2'(1'(0'(1'(1'(2'(3'(0'(4'(3'(3'(1'(3'(0'(1'(2'(2'(4'(3'(1'(4'(4'(3'(1'(1'(0'(3'(3'(0'(3'(0'(1'(0'(4'(x1334))))))))))))))))))))))))))))))))))))))) :|: x1334 >= 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 + x1334)))))))))))))))))))))))))))))))))))))
   3'(z) -{ 1 }-> 4'(0'(1'(3'(1'(2'(1'(0'(1'(1'(2'(3'(0'(4'(3'(3'(1'(3'(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))))))))))))))))))
   3'(z) -{ 1 }-> 4'(0'(1'(3'(1'(2'(1'(0'(1'(1'(2'(3'(0'(4'(3'(3'(1'(3'(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))))))))))))))))))
   3'(z) -{ 1 }-> 3'(4'(3'(4'(1'(3'(4'(2'(2'(2'(2'(0'(4'(1'(3'(3'(1'(1'(4'(4'(x1)))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   3'(z) -{ 1 }-> 3'(4'(1'(3'(2'(3'(3'(4'(4'(1'(1'(3'(1'(3'(3'(1'(1'(4'(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))))))))))))))))))
   3'(z) -{ 1 }-> 3'(3'(4'(2'(1'(1'(3'(1'(2'(1'(2'(2'(1'(3'(4'(1'(4'(2'(4'(2'(x1)))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   3'(z) -{ 1 }-> 3'(2'(3'(4'(1'(1'(4'(3'(4'(4'(1'(1'(2'(2'(4'(4'(0'(0'(4'(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))))))))))))))))))
   3'(z) -{ 1 }-> 3'(2'(2'(0'(0'(2'(2'(4'(0'(4'(3'(4'(3'(0'(2'(2'(3'(2'(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))))))))))))))))))
   3'(z) -{ 2 }-> 3'(0'(3'(4'(4'(4'(4'(1'(4'(3'(3'(0'(0'(2'(3'(2'(1'(2'(2'(4'(3'(1'(2'(1'(4'(4'(3'(4'(3'(2'(2'(1'(3'(2'(1'(3'(4'(1'(4'(x11384))))))))))))))))))))))))))))))))))))))) :|: x11384 >= 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 + x11384)))))))))))))))))))))))))))))))))))))
   3'(z) -{ 2 }-> 3'(0'(3'(4'(4'(4'(4'(1'(4'(3'(3'(0'(0'(2'(3'(2'(1'(2'(2'(4'(2'(3'(2'(1'(0'(4'(3'(3'(1'(3'(3'(1'(4'(2'(0'(0'(1'(4'(3'(x11386))))))))))))))))))))))))))))))))))))))) :|: x11386 >= 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 + x11386)))))))))))))))))))))))))))))))))))))
   3'(z) -{ 2 }-> 3'(0'(3'(4'(4'(4'(4'(1'(4'(3'(3'(0'(0'(2'(3'(2'(1'(2'(2'(4'(1'(2'(4'(1'(3'(3'(4'(3'(3'(3'(1'(2'(2'(4'(1'(0'(3'(3'(1'(x11379))))))))))))))))))))))))))))))))))))))) :|: 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 + x11379))))))))))))))))))))))))))))))))))))), x11379 >= 0
   3'(z) -{ 2 }-> 3'(0'(3'(4'(4'(4'(4'(1'(4'(3'(3'(0'(0'(2'(3'(2'(1'(2'(2'(3'(2'(2'(0'(3'(0'(2'(2'(1'(2'(1'(0'(3'(4'(1'(3'(1'(2'(1'(2'(x11382))))))))))))))))))))))))))))))))))))))) :|: 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 + x11382))))))))))))))))))))))))))))))))))))), x11382 >= 0
   3'(z) -{ 2 }-> 3'(0'(3'(4'(4'(4'(4'(1'(4'(3'(3'(0'(0'(2'(3'(2'(1'(2'(2'(2'(1'(4'(4'(4'(1'(4'(1'(1'(2'(4'(1'(1'(2'(2'(1'(1'(0'(0'(0'(x11388))))))))))))))))))))))))))))))))))))))) :|: x11388 >= 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 + x11388)))))))))))))))))))))))))))))))))))))
   3'(z) -{ 2 }-> 3'(0'(3'(4'(4'(4'(4'(1'(4'(3'(3'(0'(0'(2'(3'(2'(1'(2'(2'(2'(1'(1'(1'(1'(3'(3'(4'(3'(1'(1'(4'(4'(2'(1'(3'(1'(0'(0'(3'(x11380))))))))))))))))))))))))))))))))))))))) :|: x11380 >= 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 + x11380)))))))))))))))))))))))))))))))))))))
   3'(z) -{ 2 }-> 3'(0'(3'(4'(4'(4'(4'(1'(4'(3'(3'(0'(0'(2'(3'(2'(1'(2'(2'(2'(0'(0'(4'(4'(1'(4'(3'(2'(1'(3'(1'(3'(0'(4'(1'(1'(4'(0'(2'(x11383))))))))))))))))))))))))))))))))))))))) :|: x11383 >= 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 + x11383)))))))))))))))))))))))))))))))))))))
   3'(z) -{ 2 }-> 3'(0'(3'(4'(4'(4'(4'(1'(4'(3'(3'(0'(0'(2'(3'(2'(1'(2'(2'(1'(4'(4'(0'(4'(0'(0'(2'(4'(0'(4'(3'(2'(1'(2'(4'(2'(4'(3'(1'(x11381))))))))))))))))))))))))))))))))))))))) :|: x11381 >= 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 + x11381)))))))))))))))))))))))))))))))))))))
   3'(z) -{ 2 }-> 3'(0'(3'(4'(4'(4'(4'(1'(4'(3'(3'(0'(0'(2'(3'(2'(1'(2'(2'(1'(4'(1'(3'(4'(3'(0'(1'(4'(0'(2'(1'(0'(1'(1'(0'(3'(1'(2'(2'(x11389))))))))))))))))))))))))))))))))))))))) :|: 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 + x11389))))))))))))))))))))))))))))))))))))), x11389 >= 0
   3'(z) -{ 2 }-> 3'(0'(3'(4'(4'(4'(4'(1'(4'(3'(3'(0'(0'(2'(3'(2'(1'(2'(2'(1'(2'(4'(1'(0'(0'(0'(1'(4'(2'(0'(0'(4'(4'(4'(1'(4'(3'(1'(4'(x11387))))))))))))))))))))))))))))))))))))))) :|: 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 + x11387))))))))))))))))))))))))))))))))))))), x11387 >= 0
   3'(z) -{ 2 }-> 3'(0'(3'(4'(4'(4'(4'(1'(4'(3'(3'(0'(0'(2'(3'(2'(1'(2'(2'(1'(2'(2'(4'(3'(1'(4'(4'(3'(1'(1'(0'(3'(3'(0'(3'(0'(1'(0'(4'(x11385))))))))))))))))))))))))))))))))))))))) :|: 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 + x11385))))))))))))))))))))))))))))))))))))), x11385 >= 0
   3'(z) -{ 1 }-> 3'(0'(3'(4'(4'(4'(4'(1'(4'(3'(3'(0'(0'(2'(3'(2'(1'(2'(2'(0))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   3'(z) -{ 1 }-> 3'(0'(3'(4'(4'(4'(4'(1'(4'(3'(3'(0'(0'(2'(3'(2'(1'(2'(2'(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))))))))))))))))))
   3'(z) -{ 1 }-> 2'(2'(3'(2'(1'(0'(2'(0'(0'(2'(0'(4'(0'(4'(0'(4'(3'(2'(2'(3'(x1)))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   3'(z) -{ 2 }-> 2'(2'(2'(0'(3'(1'(1'(1'(4'(1'(0'(3'(1'(2'(1'(4'(1'(3'(1'(4'(3'(1'(2'(1'(4'(4'(3'(4'(3'(2'(2'(1'(3'(2'(1'(3'(4'(1'(4'(x1555))))))))))))))))))))))))))))))))))))))) :|: x1555 >= 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 + x1555)))))))))))))))))))))))))))))))))))))
   3'(z) -{ 2 }-> 2'(2'(2'(0'(3'(1'(1'(1'(4'(1'(0'(3'(1'(2'(1'(4'(1'(3'(1'(4'(2'(3'(2'(1'(0'(4'(3'(3'(1'(3'(3'(1'(4'(2'(0'(0'(1'(4'(3'(x1557))))))))))))))))))))))))))))))))))))))) :|: x1557 >= 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 + x1557)))))))))))))))))))))))))))))))))))))
   3'(z) -{ 2 }-> 2'(2'(2'(0'(3'(1'(1'(1'(4'(1'(0'(3'(1'(2'(1'(4'(1'(3'(1'(4'(1'(2'(4'(1'(3'(3'(4'(3'(3'(3'(1'(2'(2'(4'(1'(0'(3'(3'(1'(x1550))))))))))))))))))))))))))))))))))))))) :|: x1550 >= 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 + x1550)))))))))))))))))))))))))))))))))))))
   3'(z) -{ 2 }-> 2'(2'(2'(0'(3'(1'(1'(1'(4'(1'(0'(3'(1'(2'(1'(4'(1'(3'(1'(3'(2'(2'(0'(3'(0'(2'(2'(1'(2'(1'(0'(3'(4'(1'(3'(1'(2'(1'(2'(x1553))))))))))))))))))))))))))))))))))))))) :|: 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 + x1553))))))))))))))))))))))))))))))))))))), x1553 >= 0
   3'(z) -{ 2 }-> 2'(2'(2'(0'(3'(1'(1'(1'(4'(1'(0'(3'(1'(2'(1'(4'(1'(3'(1'(2'(1'(4'(4'(4'(1'(4'(1'(1'(2'(4'(1'(1'(2'(2'(1'(1'(0'(0'(0'(x1559))))))))))))))))))))))))))))))))))))))) :|: x1559 >= 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 + x1559)))))))))))))))))))))))))))))))))))))
   3'(z) -{ 2 }-> 2'(2'(2'(0'(3'(1'(1'(1'(4'(1'(0'(3'(1'(2'(1'(4'(1'(3'(1'(2'(1'(1'(1'(1'(3'(3'(4'(3'(1'(1'(4'(4'(2'(1'(3'(1'(0'(0'(3'(x1551))))))))))))))))))))))))))))))))))))))) :|: x1551 >= 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 + x1551)))))))))))))))))))))))))))))))))))))
   3'(z) -{ 2 }-> 2'(2'(2'(0'(3'(1'(1'(1'(4'(1'(0'(3'(1'(2'(1'(4'(1'(3'(1'(2'(0'(0'(4'(4'(1'(4'(3'(2'(1'(3'(1'(3'(0'(4'(1'(1'(4'(0'(2'(x1554))))))))))))))))))))))))))))))))))))))) :|: 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 + x1554))))))))))))))))))))))))))))))))))))), x1554 >= 0
   3'(z) -{ 2 }-> 2'(2'(2'(0'(3'(1'(1'(1'(4'(1'(0'(3'(1'(2'(1'(4'(1'(3'(1'(1'(4'(4'(0'(4'(0'(0'(2'(4'(0'(4'(3'(2'(1'(2'(4'(2'(4'(3'(1'(x1552))))))))))))))))))))))))))))))))))))))) :|: 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 + x1552))))))))))))))))))))))))))))))))))))), x1552 >= 0
   3'(z) -{ 2 }-> 2'(2'(2'(0'(3'(1'(1'(1'(4'(1'(0'(3'(1'(2'(1'(4'(1'(3'(1'(1'(4'(1'(3'(4'(3'(0'(1'(4'(0'(2'(1'(0'(1'(1'(0'(3'(1'(2'(2'(x1560))))))))))))))))))))))))))))))))))))))) :|: 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 + x1560))))))))))))))))))))))))))))))))))))), x1560 >= 0
   3'(z) -{ 2 }-> 2'(2'(2'(0'(3'(1'(1'(1'(4'(1'(0'(3'(1'(2'(1'(4'(1'(3'(1'(1'(2'(4'(1'(0'(0'(0'(1'(4'(2'(0'(0'(4'(4'(4'(1'(4'(3'(1'(4'(x1558))))))))))))))))))))))))))))))))))))))) :|: x1558 >= 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 + x1558)))))))))))))))))))))))))))))))))))))
   3'(z) -{ 2 }-> 2'(2'(2'(0'(3'(1'(1'(1'(4'(1'(0'(3'(1'(2'(1'(4'(1'(3'(1'(1'(2'(2'(4'(3'(1'(4'(4'(3'(1'(1'(0'(3'(3'(0'(3'(0'(1'(0'(4'(x1556))))))))))))))))))))))))))))))))))))))) :|: x1556 >= 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 + x1556)))))))))))))))))))))))))))))))))))))
   3'(z) -{ 1 }-> 2'(2'(2'(0'(3'(1'(1'(1'(4'(1'(0'(3'(1'(2'(1'(4'(1'(3'(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))))))))))))))))))
   3'(z) -{ 1 }-> 2'(2'(2'(0'(3'(1'(1'(1'(4'(1'(0'(3'(1'(2'(1'(4'(1'(3'(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))))))))))))))))))
   3'(z) -{ 1 }-> 2'(1'(4'(1'(1'(1'(4'(2'(4'(2'(4'(1'(3'(4'(2'(3'(3'(2'(2'(4'(x1)))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   3'(z) -{ 2 }-> 2'(0'(3'(1'(2'(3'(1'(2'(1'(2'(1'(3'(3'(4'(2'(0'(0'(2'(2'(4'(3'(1'(2'(1'(4'(4'(3'(4'(3'(2'(2'(1'(3'(2'(1'(3'(4'(1'(4'(x11677))))))))))))))))))))))))))))))))))))))) :|: x11677 >= 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 + x11677)))))))))))))))))))))))))))))))))))))
   3'(z) -{ 2 }-> 2'(0'(3'(1'(2'(3'(1'(2'(1'(2'(1'(3'(3'(4'(2'(0'(0'(2'(2'(4'(2'(3'(2'(1'(0'(4'(3'(3'(1'(3'(3'(1'(4'(2'(0'(0'(1'(4'(3'(x11679))))))))))))))))))))))))))))))))))))))) :|: 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 + x11679))))))))))))))))))))))))))))))))))))), x11679 >= 0
   3'(z) -{ 2 }-> 2'(0'(3'(1'(2'(3'(1'(2'(1'(2'(1'(3'(3'(4'(2'(0'(0'(2'(2'(4'(1'(2'(4'(1'(3'(3'(4'(3'(3'(3'(1'(2'(2'(4'(1'(0'(3'(3'(1'(x11672))))))))))))))))))))))))))))))))))))))) :|: 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 + x11672))))))))))))))))))))))))))))))))))))), x11672 >= 0
   3'(z) -{ 2 }-> 2'(0'(3'(1'(2'(3'(1'(2'(1'(2'(1'(3'(3'(4'(2'(0'(0'(2'(2'(3'(2'(2'(0'(3'(0'(2'(2'(1'(2'(1'(0'(3'(4'(1'(3'(1'(2'(1'(2'(x11675))))))))))))))))))))))))))))))))))))))) :|: x11675 >= 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 + x11675)))))))))))))))))))))))))))))))))))))
   3'(z) -{ 2 }-> 2'(0'(3'(1'(2'(3'(1'(2'(1'(2'(1'(3'(3'(4'(2'(0'(0'(2'(2'(2'(1'(4'(4'(4'(1'(4'(1'(1'(2'(4'(1'(1'(2'(2'(1'(1'(0'(0'(0'(x11681))))))))))))))))))))))))))))))))))))))) :|: x11681 >= 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 + x11681)))))))))))))))))))))))))))))))))))))
   3'(z) -{ 2 }-> 2'(0'(3'(1'(2'(3'(1'(2'(1'(2'(1'(3'(3'(4'(2'(0'(0'(2'(2'(2'(1'(1'(1'(1'(3'(3'(4'(3'(1'(1'(4'(4'(2'(1'(3'(1'(0'(0'(3'(x11673))))))))))))))))))))))))))))))))))))))) :|: x11673 >= 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 + x11673)))))))))))))))))))))))))))))))))))))
   3'(z) -{ 2 }-> 2'(0'(3'(1'(2'(3'(1'(2'(1'(2'(1'(3'(3'(4'(2'(0'(0'(2'(2'(2'(0'(0'(4'(4'(1'(4'(3'(2'(1'(3'(1'(3'(0'(4'(1'(1'(4'(0'(2'(x11676))))))))))))))))))))))))))))))))))))))) :|: 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 + x11676))))))))))))))))))))))))))))))))))))), x11676 >= 0
   3'(z) -{ 2 }-> 2'(0'(3'(1'(2'(3'(1'(2'(1'(2'(1'(3'(3'(4'(2'(0'(0'(2'(2'(1'(4'(4'(0'(4'(0'(0'(2'(4'(0'(4'(3'(2'(1'(2'(4'(2'(4'(3'(1'(x11674))))))))))))))))))))))))))))))))))))))) :|: x11674 >= 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 + x11674)))))))))))))))))))))))))))))))))))))
   3'(z) -{ 2 }-> 2'(0'(3'(1'(2'(3'(1'(2'(1'(2'(1'(3'(3'(4'(2'(0'(0'(2'(2'(1'(4'(1'(3'(4'(3'(0'(1'(4'(0'(2'(1'(0'(1'(1'(0'(3'(1'(2'(2'(x11682))))))))))))))))))))))))))))))))))))))) :|: 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 + x11682))))))))))))))))))))))))))))))))))))), x11682 >= 0
   3'(z) -{ 2 }-> 2'(0'(3'(1'(2'(3'(1'(2'(1'(2'(1'(3'(3'(4'(2'(0'(0'(2'(2'(1'(2'(4'(1'(0'(0'(0'(1'(4'(2'(0'(0'(4'(4'(4'(1'(4'(3'(1'(4'(x11680))))))))))))))))))))))))))))))))))))))) :|: x11680 >= 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 + x11680)))))))))))))))))))))))))))))))))))))
   3'(z) -{ 2 }-> 2'(0'(3'(1'(2'(3'(1'(2'(1'(2'(1'(3'(3'(4'(2'(0'(0'(2'(2'(1'(2'(2'(4'(3'(1'(4'(4'(3'(1'(1'(0'(3'(3'(0'(3'(0'(1'(0'(4'(x11678))))))))))))))))))))))))))))))))))))))) :|: 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 + x11678))))))))))))))))))))))))))))))))))))), x11678 >= 0
   3'(z) -{ 1 }-> 2'(0'(3'(1'(2'(3'(1'(2'(1'(2'(1'(3'(3'(4'(2'(0'(0'(2'(2'(0))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   3'(z) -{ 1 }-> 2'(0'(3'(1'(2'(3'(1'(2'(1'(2'(1'(3'(3'(4'(2'(0'(0'(2'(2'(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))))))))))))))))))
   3'(z) -{ 2 }-> 2'(0'(1'(2'(4'(3'(2'(1'(4'(2'(4'(0'(3'(2'(4'(2'(3'(1'(4'(4'(3'(1'(2'(1'(4'(4'(3'(4'(3'(2'(2'(1'(3'(2'(1'(3'(4'(1'(4'(x1133))))))))))))))))))))))))))))))))))))))) :|: 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 + x1133))))))))))))))))))))))))))))))))))))), x1133 >= 0
   3'(z) -{ 2 }-> 2'(0'(1'(2'(4'(3'(2'(1'(4'(2'(4'(0'(3'(2'(4'(2'(3'(1'(4'(4'(2'(3'(2'(1'(0'(4'(3'(3'(1'(3'(3'(1'(4'(2'(0'(0'(1'(4'(3'(x1135))))))))))))))))))))))))))))))))))))))) :|: x1135 >= 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 + x1135)))))))))))))))))))))))))))))))))))))
   3'(z) -{ 2 }-> 2'(0'(1'(2'(4'(3'(2'(1'(4'(2'(4'(0'(3'(2'(4'(2'(3'(1'(4'(4'(1'(2'(4'(1'(3'(3'(4'(3'(3'(3'(1'(2'(2'(4'(1'(0'(3'(3'(1'(x1128))))))))))))))))))))))))))))))))))))))) :|: x1128 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1128)))))))))))))))))))))))))))))))))))))
   3'(z) -{ 2 }-> 2'(0'(1'(2'(4'(3'(2'(1'(4'(2'(4'(0'(3'(2'(4'(2'(3'(1'(4'(3'(2'(2'(0'(3'(0'(2'(2'(1'(2'(1'(0'(3'(4'(1'(3'(1'(2'(1'(2'(x1131))))))))))))))))))))))))))))))))))))))) :|: x1131 >= 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 + x1131)))))))))))))))))))))))))))))))))))))
   3'(z) -{ 2 }-> 2'(0'(1'(2'(4'(3'(2'(1'(4'(2'(4'(0'(3'(2'(4'(2'(3'(1'(4'(2'(1'(4'(4'(4'(1'(4'(1'(1'(2'(4'(1'(1'(2'(2'(1'(1'(0'(0'(0'(x1137))))))))))))))))))))))))))))))))))))))) :|: 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 + x1137))))))))))))))))))))))))))))))))))))), x1137 >= 0
   3'(z) -{ 2 }-> 2'(0'(1'(2'(4'(3'(2'(1'(4'(2'(4'(0'(3'(2'(4'(2'(3'(1'(4'(2'(1'(1'(1'(1'(3'(3'(4'(3'(1'(1'(4'(4'(2'(1'(3'(1'(0'(0'(3'(x1129))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1129))))))))))))))))))))))))))))))))))))), x1129 >= 0
   3'(z) -{ 2 }-> 2'(0'(1'(2'(4'(3'(2'(1'(4'(2'(4'(0'(3'(2'(4'(2'(3'(1'(4'(2'(0'(0'(4'(4'(1'(4'(3'(2'(1'(3'(1'(3'(0'(4'(1'(1'(4'(0'(2'(x1132))))))))))))))))))))))))))))))))))))))) :|: x1132 >= 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 + x1132)))))))))))))))))))))))))))))))))))))
   3'(z) -{ 2 }-> 2'(0'(1'(2'(4'(3'(2'(1'(4'(2'(4'(0'(3'(2'(4'(2'(3'(1'(4'(1'(4'(4'(0'(4'(0'(0'(2'(4'(0'(4'(3'(2'(1'(2'(4'(2'(4'(3'(1'(x1130))))))))))))))))))))))))))))))))))))))) :|: 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 + x1130))))))))))))))))))))))))))))))))))))), x1130 >= 0
   3'(z) -{ 2 }-> 2'(0'(1'(2'(4'(3'(2'(1'(4'(2'(4'(0'(3'(2'(4'(2'(3'(1'(4'(1'(4'(1'(3'(4'(3'(0'(1'(4'(0'(2'(1'(0'(1'(1'(0'(3'(1'(2'(2'(x1138))))))))))))))))))))))))))))))))))))))) :|: 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 + x1138))))))))))))))))))))))))))))))))))))), x1138 >= 0
   3'(z) -{ 2 }-> 2'(0'(1'(2'(4'(3'(2'(1'(4'(2'(4'(0'(3'(2'(4'(2'(3'(1'(4'(1'(2'(4'(1'(0'(0'(0'(1'(4'(2'(0'(0'(4'(4'(4'(1'(4'(3'(1'(4'(x1136))))))))))))))))))))))))))))))))))))))) :|: 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 + x1136))))))))))))))))))))))))))))))))))))), x1136 >= 0
   3'(z) -{ 2 }-> 2'(0'(1'(2'(4'(3'(2'(1'(4'(2'(4'(0'(3'(2'(4'(2'(3'(1'(4'(1'(2'(2'(4'(3'(1'(4'(4'(3'(1'(1'(0'(3'(3'(0'(3'(0'(1'(0'(4'(x1134))))))))))))))))))))))))))))))))))))))) :|: 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 + x1134))))))))))))))))))))))))))))))))))))), x1134 >= 0
   3'(z) -{ 1 }-> 2'(0'(1'(2'(4'(3'(2'(1'(4'(2'(4'(0'(3'(2'(4'(2'(3'(1'(4'(0))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   3'(z) -{ 1 }-> 2'(0'(1'(2'(4'(3'(2'(1'(4'(2'(4'(0'(3'(2'(4'(2'(3'(1'(4'(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))))))))))))))))))
   3'(z) -{ 1 }-> 1'(4'(3'(4'(2'(2'(4'(3'(2'(0'(1'(4'(1'(1'(3'(1'(2'(1'(1'(3'(x1)))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   3'(z) -{ 2 }-> 1'(4'(1'(3'(3'(2'(1'(2'(3'(4'(2'(4'(1'(3'(0'(4'(2'(1'(3'(4'(3'(1'(2'(1'(4'(4'(3'(4'(3'(2'(2'(1'(3'(2'(1'(3'(4'(1'(4'(x11100))))))))))))))))))))))))))))))))))))))) :|: 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 + x11100))))))))))))))))))))))))))))))))))))), x11100 >= 0
   3'(z) -{ 2 }-> 1'(4'(1'(3'(3'(2'(1'(2'(3'(4'(2'(4'(1'(3'(0'(4'(2'(1'(3'(4'(2'(3'(2'(1'(0'(4'(3'(3'(1'(3'(3'(1'(4'(2'(0'(0'(1'(4'(3'(x11102))))))))))))))))))))))))))))))))))))))) :|: 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 + x11102))))))))))))))))))))))))))))))))))))), x11102 >= 0
   3'(z) -{ 2 }-> 1'(4'(1'(3'(3'(2'(1'(2'(3'(4'(2'(4'(1'(3'(0'(4'(2'(1'(3'(4'(1'(2'(4'(1'(3'(3'(4'(3'(3'(3'(1'(2'(2'(4'(1'(0'(3'(3'(1'(x11095))))))))))))))))))))))))))))))))))))))) :|: x11095 >= 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 + x11095)))))))))))))))))))))))))))))))))))))
   3'(z) -{ 2 }-> 1'(4'(1'(3'(3'(2'(1'(2'(3'(4'(2'(4'(1'(3'(0'(4'(2'(1'(3'(3'(2'(2'(0'(3'(0'(2'(2'(1'(2'(1'(0'(3'(4'(1'(3'(1'(2'(1'(2'(x11098))))))))))))))))))))))))))))))))))))))) :|: 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 + x11098))))))))))))))))))))))))))))))))))))), x11098 >= 0
   3'(z) -{ 2 }-> 1'(4'(1'(3'(3'(2'(1'(2'(3'(4'(2'(4'(1'(3'(0'(4'(2'(1'(3'(2'(1'(4'(4'(4'(1'(4'(1'(1'(2'(4'(1'(1'(2'(2'(1'(1'(0'(0'(0'(x11104))))))))))))))))))))))))))))))))))))))) :|: 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 + x11104))))))))))))))))))))))))))))))))))))), x11104 >= 0
   3'(z) -{ 2 }-> 1'(4'(1'(3'(3'(2'(1'(2'(3'(4'(2'(4'(1'(3'(0'(4'(2'(1'(3'(2'(1'(1'(1'(1'(3'(3'(4'(3'(1'(1'(4'(4'(2'(1'(3'(1'(0'(0'(3'(x11096))))))))))))))))))))))))))))))))))))))) :|: 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 + x11096))))))))))))))))))))))))))))))))))))), x11096 >= 0
   3'(z) -{ 2 }-> 1'(4'(1'(3'(3'(2'(1'(2'(3'(4'(2'(4'(1'(3'(0'(4'(2'(1'(3'(2'(0'(0'(4'(4'(1'(4'(3'(2'(1'(3'(1'(3'(0'(4'(1'(1'(4'(0'(2'(x11099))))))))))))))))))))))))))))))))))))))) :|: 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 + x11099))))))))))))))))))))))))))))))))))))), x11099 >= 0
   3'(z) -{ 2 }-> 1'(4'(1'(3'(3'(2'(1'(2'(3'(4'(2'(4'(1'(3'(0'(4'(2'(1'(3'(1'(4'(4'(0'(4'(0'(0'(2'(4'(0'(4'(3'(2'(1'(2'(4'(2'(4'(3'(1'(x11097))))))))))))))))))))))))))))))))))))))) :|: 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 + x11097))))))))))))))))))))))))))))))))))))), x11097 >= 0
   3'(z) -{ 2 }-> 1'(4'(1'(3'(3'(2'(1'(2'(3'(4'(2'(4'(1'(3'(0'(4'(2'(1'(3'(1'(4'(1'(3'(4'(3'(0'(1'(4'(0'(2'(1'(0'(1'(1'(0'(3'(1'(2'(2'(x11105))))))))))))))))))))))))))))))))))))))) :|: x11105 >= 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 + x11105)))))))))))))))))))))))))))))))))))))
   3'(z) -{ 2 }-> 1'(4'(1'(3'(3'(2'(1'(2'(3'(4'(2'(4'(1'(3'(0'(4'(2'(1'(3'(1'(2'(4'(1'(0'(0'(0'(1'(4'(2'(0'(0'(4'(4'(4'(1'(4'(3'(1'(4'(x11103))))))))))))))))))))))))))))))))))))))) :|: x11103 >= 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 + x11103)))))))))))))))))))))))))))))))))))))
   3'(z) -{ 2 }-> 1'(4'(1'(3'(3'(2'(1'(2'(3'(4'(2'(4'(1'(3'(0'(4'(2'(1'(3'(1'(2'(2'(4'(3'(1'(4'(4'(3'(1'(1'(0'(3'(3'(0'(3'(0'(1'(0'(4'(x11101))))))))))))))))))))))))))))))))))))))) :|: x11101 >= 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 + x11101)))))))))))))))))))))))))))))))))))))
   3'(z) -{ 1 }-> 1'(4'(1'(3'(3'(2'(1'(2'(3'(4'(2'(4'(1'(3'(0'(4'(2'(1'(3'(0))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   3'(z) -{ 1 }-> 1'(4'(1'(3'(3'(2'(1'(2'(3'(4'(2'(4'(1'(3'(0'(4'(2'(1'(3'(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))))))))))))))))))
   3'(z) -{ 1 }-> 1'(3'(4'(2'(1'(3'(0'(1'(4'(3'(1'(3'(4'(0'(4'(1'(2'(4'(0'(2'(x1)))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   3'(z) -{ 2 }-> 1'(3'(1'(4'(1'(1'(1'(4'(0'(0'(2'(1'(0'(4'(1'(2'(2'(3'(1'(4'(3'(1'(2'(1'(4'(4'(3'(4'(3'(2'(2'(1'(3'(2'(1'(3'(4'(1'(4'(x1832))))))))))))))))))))))))))))))))))))))) :|: x1832 >= 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 + x1832)))))))))))))))))))))))))))))))))))))
   3'(z) -{ 2 }-> 1'(3'(1'(4'(1'(1'(1'(4'(0'(0'(2'(1'(0'(4'(1'(2'(2'(3'(1'(4'(2'(3'(2'(1'(0'(4'(3'(3'(1'(3'(3'(1'(4'(2'(0'(0'(1'(4'(3'(x1834))))))))))))))))))))))))))))))))))))))) :|: x1834 >= 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 + x1834)))))))))))))))))))))))))))))))))))))
   3'(z) -{ 2 }-> 1'(3'(1'(4'(1'(1'(1'(4'(0'(0'(2'(1'(0'(4'(1'(2'(2'(3'(1'(4'(1'(2'(4'(1'(3'(3'(4'(3'(3'(3'(1'(2'(2'(4'(1'(0'(3'(3'(1'(x1827))))))))))))))))))))))))))))))))))))))) :|: 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 + x1827))))))))))))))))))))))))))))))))))))), x1827 >= 0
   3'(z) -{ 2 }-> 1'(3'(1'(4'(1'(1'(1'(4'(0'(0'(2'(1'(0'(4'(1'(2'(2'(3'(1'(3'(2'(2'(0'(3'(0'(2'(2'(1'(2'(1'(0'(3'(4'(1'(3'(1'(2'(1'(2'(x1830))))))))))))))))))))))))))))))))))))))) :|: 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 + x1830))))))))))))))))))))))))))))))))))))), x1830 >= 0
   3'(z) -{ 2 }-> 1'(3'(1'(4'(1'(1'(1'(4'(0'(0'(2'(1'(0'(4'(1'(2'(2'(3'(1'(2'(1'(4'(4'(4'(1'(4'(1'(1'(2'(4'(1'(1'(2'(2'(1'(1'(0'(0'(0'(x1836))))))))))))))))))))))))))))))))))))))) :|: 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 + x1836))))))))))))))))))))))))))))))))))))), x1836 >= 0
   3'(z) -{ 2 }-> 1'(3'(1'(4'(1'(1'(1'(4'(0'(0'(2'(1'(0'(4'(1'(2'(2'(3'(1'(2'(1'(1'(1'(1'(3'(3'(4'(3'(1'(1'(4'(4'(2'(1'(3'(1'(0'(0'(3'(x1828))))))))))))))))))))))))))))))))))))))) :|: 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 + x1828))))))))))))))))))))))))))))))))))))), x1828 >= 0
   3'(z) -{ 2 }-> 1'(3'(1'(4'(1'(1'(1'(4'(0'(0'(2'(1'(0'(4'(1'(2'(2'(3'(1'(2'(0'(0'(4'(4'(1'(4'(3'(2'(1'(3'(1'(3'(0'(4'(1'(1'(4'(0'(2'(x1831))))))))))))))))))))))))))))))))))))))) :|: x1831 >= 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 + x1831)))))))))))))))))))))))))))))))))))))
   3'(z) -{ 2 }-> 1'(3'(1'(4'(1'(1'(1'(4'(0'(0'(2'(1'(0'(4'(1'(2'(2'(3'(1'(1'(4'(4'(0'(4'(0'(0'(2'(4'(0'(4'(3'(2'(1'(2'(4'(2'(4'(3'(1'(x1829))))))))))))))))))))))))))))))))))))))) :|: 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 + x1829))))))))))))))))))))))))))))))))))))), x1829 >= 0
   3'(z) -{ 2 }-> 1'(3'(1'(4'(1'(1'(1'(4'(0'(0'(2'(1'(0'(4'(1'(2'(2'(3'(1'(1'(4'(1'(3'(4'(3'(0'(1'(4'(0'(2'(1'(0'(1'(1'(0'(3'(1'(2'(2'(x1837))))))))))))))))))))))))))))))))))))))) :|: 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 + x1837))))))))))))))))))))))))))))))))))))), x1837 >= 0
   3'(z) -{ 2 }-> 1'(3'(1'(4'(1'(1'(1'(4'(0'(0'(2'(1'(0'(4'(1'(2'(2'(3'(1'(1'(2'(4'(1'(0'(0'(0'(1'(4'(2'(0'(0'(4'(4'(4'(1'(4'(3'(1'(4'(x1835))))))))))))))))))))))))))))))))))))))) :|: x1835 >= 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 + x1835)))))))))))))))))))))))))))))))))))))
   3'(z) -{ 2 }-> 1'(3'(1'(4'(1'(1'(1'(4'(0'(0'(2'(1'(0'(4'(1'(2'(2'(3'(1'(1'(2'(2'(4'(3'(1'(4'(4'(3'(1'(1'(0'(3'(3'(0'(3'(0'(1'(0'(4'(x1833))))))))))))))))))))))))))))))))))))))) :|: x1833 >= 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 + x1833)))))))))))))))))))))))))))))))))))))
   3'(z) -{ 1 }-> 1'(3'(1'(4'(1'(1'(1'(4'(0'(0'(2'(1'(0'(4'(1'(2'(2'(3'(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))))))))))))))))))
   3'(z) -{ 1 }-> 1'(3'(1'(4'(1'(1'(1'(4'(0'(0'(2'(1'(0'(4'(1'(2'(2'(3'(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))))))))))))))))))
   3'(z) -{ 1 }-> 1'(2'(2'(2'(1'(1'(4'(3'(0'(3'(2'(2'(4'(2'(1'(4'(4'(3'(1'(4'(x1)))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   3'(z) -{ 1 }-> 1'(1'(4'(0'(0'(2'(0'(1'(2'(2'(2'(2'(0'(1'(3'(1'(0'(2'(0'(0'(x1)))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   3'(z) -{ 1 }-> 0'(3'(3'(4'(3'(1'(4'(2'(4'(3'(2'(1'(4'(1'(4'(0'(3'(1'(4'(2'(x1)))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   3'(z) -{ 1 }-> 0'(3'(2'(1'(1'(1'(3'(2'(4'(0'(3'(0'(3'(3'(0'(2'(1'(2'(1'(2'(x1)))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   3'(z) -{ 0 }-> 0 :|: v0 >= 0, z = v0
   3'(z) -{ 0 }-> 1 + x0 :|: z = x0, x0 >= 0
   4'(z) -{ 1 }-> 4'(2'(4'(1'(4'(2'(2'(0'(1'(0'(3'(1'(3'(0'(1'(3'(3'(2'(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))))))))))))))))))
   4'(z) -{ 1 }-> 4'(1'(2'(1'(1'(2'(2'(1'(1'(2'(0'(1'(0'(2'(4'(4'(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))))))))))))))))))
   4'(z) -{ 2 }-> 4'(1'(0'(0'(4'(3'(4'(1'(2'(4'(3'(3'(2'(1'(3'(4'(1'(0'(3'(4'(3'(1'(2'(1'(4'(4'(3'(4'(3'(2'(2'(1'(3'(2'(1'(3'(4'(1'(4'(x1240))))))))))))))))))))))))))))))))))))))) :|: x1240 >= 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 + x1240)))))))))))))))))))))))))))))))))))))
   4'(z) -{ 2 }-> 4'(1'(0'(0'(4'(3'(4'(1'(2'(4'(3'(3'(2'(1'(3'(4'(1'(0'(3'(4'(2'(3'(2'(1'(0'(4'(3'(3'(1'(3'(3'(1'(4'(2'(0'(0'(1'(4'(3'(x1242))))))))))))))))))))))))))))))))))))))) :|: 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 + x1242))))))))))))))))))))))))))))))))))))), x1242 >= 0
   4'(z) -{ 2 }-> 4'(1'(0'(0'(4'(3'(4'(1'(2'(4'(3'(3'(2'(1'(3'(4'(1'(0'(3'(4'(1'(2'(4'(1'(3'(3'(4'(3'(3'(3'(1'(2'(2'(4'(1'(0'(3'(3'(1'(x1235))))))))))))))))))))))))))))))))))))))) :|: 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 + x1235))))))))))))))))))))))))))))))))))))), x1235 >= 0
   4'(z) -{ 2 }-> 4'(1'(0'(0'(4'(3'(4'(1'(2'(4'(3'(3'(2'(1'(3'(4'(1'(0'(3'(3'(2'(2'(0'(3'(0'(2'(2'(1'(2'(1'(0'(3'(4'(1'(3'(1'(2'(1'(2'(x1238))))))))))))))))))))))))))))))))))))))) :|: x1238 >= 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 + x1238)))))))))))))))))))))))))))))))))))))
   4'(z) -{ 2 }-> 4'(1'(0'(0'(4'(3'(4'(1'(2'(4'(3'(3'(2'(1'(3'(4'(1'(0'(3'(2'(1'(4'(4'(4'(1'(4'(1'(1'(2'(4'(1'(1'(2'(2'(1'(1'(0'(0'(0'(x1244))))))))))))))))))))))))))))))))))))))) :|: x1244 >= 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 + x1244)))))))))))))))))))))))))))))))))))))
   4'(z) -{ 2 }-> 4'(1'(0'(0'(4'(3'(4'(1'(2'(4'(3'(3'(2'(1'(3'(4'(1'(0'(3'(2'(1'(1'(1'(1'(3'(3'(4'(3'(1'(1'(4'(4'(2'(1'(3'(1'(0'(0'(3'(x1236))))))))))))))))))))))))))))))))))))))) :|: 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 + x1236))))))))))))))))))))))))))))))))))))), x1236 >= 0
   4'(z) -{ 2 }-> 4'(1'(0'(0'(4'(3'(4'(1'(2'(4'(3'(3'(2'(1'(3'(4'(1'(0'(3'(2'(0'(0'(4'(4'(1'(4'(3'(2'(1'(3'(1'(3'(0'(4'(1'(1'(4'(0'(2'(x1239))))))))))))))))))))))))))))))))))))))) :|: 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 + x1239))))))))))))))))))))))))))))))))))))), x1239 >= 0
   4'(z) -{ 2 }-> 4'(1'(0'(0'(4'(3'(4'(1'(2'(4'(3'(3'(2'(1'(3'(4'(1'(0'(3'(1'(4'(4'(0'(4'(0'(0'(2'(4'(0'(4'(3'(2'(1'(2'(4'(2'(4'(3'(1'(x1237))))))))))))))))))))))))))))))))))))))) :|: 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 + x1237))))))))))))))))))))))))))))))))))))), x1237 >= 0
   4'(z) -{ 2 }-> 4'(1'(0'(0'(4'(3'(4'(1'(2'(4'(3'(3'(2'(1'(3'(4'(1'(0'(3'(1'(4'(1'(3'(4'(3'(0'(1'(4'(0'(2'(1'(0'(1'(1'(0'(3'(1'(2'(2'(x1245))))))))))))))))))))))))))))))))))))))) :|: 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 + x1245))))))))))))))))))))))))))))))))))))), x1245 >= 0
   4'(z) -{ 2 }-> 4'(1'(0'(0'(4'(3'(4'(1'(2'(4'(3'(3'(2'(1'(3'(4'(1'(0'(3'(1'(2'(4'(1'(0'(0'(0'(1'(4'(2'(0'(0'(4'(4'(4'(1'(4'(3'(1'(4'(x1243))))))))))))))))))))))))))))))))))))))) :|: x1243 >= 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 + x1243)))))))))))))))))))))))))))))))))))))
   4'(z) -{ 2 }-> 4'(1'(0'(0'(4'(3'(4'(1'(2'(4'(3'(3'(2'(1'(3'(4'(1'(0'(3'(1'(2'(2'(4'(3'(1'(4'(4'(3'(1'(1'(0'(3'(3'(0'(3'(0'(1'(0'(4'(x1241))))))))))))))))))))))))))))))))))))))) :|: x1241 >= 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 + x1241)))))))))))))))))))))))))))))))))))))
   4'(z) -{ 1 }-> 4'(1'(0'(0'(4'(3'(4'(1'(2'(4'(3'(3'(2'(1'(3'(4'(1'(0'(3'(0))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   4'(z) -{ 1 }-> 4'(1'(0'(0'(4'(3'(4'(1'(2'(4'(3'(3'(2'(1'(3'(4'(1'(0'(3'(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))))))))))))))))))
   4'(z) -{ 1 }-> 4'(0'(2'(1'(4'(0'(2'(0'(0'(4'(0'(4'(1'(0'(2'(3'(4'(4'(1'(2'(x1)))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   4'(z) -{ 1 }-> 3'(4'(0'(1'(3'(0'(0'(4'(3'(1'(2'(2'(3'(1'(3'(4'(2'(2'(0'(3'(x1)))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   4'(z) -{ 1 }-> 3'(2'(2'(1'(1'(0'(2'(2'(4'(0'(0'(0'(2'(1'(3'(1'(0'(4'(3'(4'(x1)))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   4'(z) -{ 1 }-> 3'(2'(1'(2'(1'(3'(2'(1'(3'(2'(3'(2'(1'(1'(2'(1'(2'(3'(4'(3'(x1)))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   4'(z) -{ 1 }-> 3'(2'(0'(3'(0'(0'(4'(1'(1'(4'(2'(4'(1'(4'(3'(1'(3'(1'(4'(3'(x1)))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   4'(z) -{ 1 }-> 3'(2'(0'(2'(2'(1'(2'(1'(1'(2'(3'(0'(1'(3'(3'(3'(2'(4'(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))))))))))))))))))
   4'(z) -{ 1 }-> 3'(1'(4'(1'(4'(4'(3'(1'(2'(3'(3'(2'(1'(3'(3'(1'(1'(3'(2'(4'(x1)))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   4'(z) -{ 1 }-> 3'(1'(0'(2'(1'(3'(1'(2'(1'(0'(2'(1'(1'(3'(1'(0'(4'(0'(3'(4'(x1)))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   4'(z) -{ 1 }-> 2'(4'(4'(4'(4'(2'(2'(4'(1'(0'(2'(2'(4'(0'(3'(2'(2'(2'(2'(2'(x1)))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   4'(z) -{ 1 }-> 2'(4'(4'(4'(4'(2'(2'(2'(2'(4'(3'(2'(2'(3'(4'(1'(2'(0'(1'(3'(x1)))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   4'(z) -{ 1 }-> 2'(3'(2'(0'(1'(4'(4'(4'(3'(2'(3'(3'(1'(4'(3'(4'(2'(0'(1'(3'(x1)))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   4'(z) -{ 1 }-> 2'(1'(4'(2'(2'(2'(2'(2'(2'(2'(0'(1'(0'(3'(1'(0'(1'(1'(4'(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))))))))))))))))))
   4'(z) -{ 1 }-> 2'(1'(0'(3'(1'(3'(1'(4'(3'(3'(0'(0'(1'(4'(4'(1'(2'(2'(3'(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))))))))))))))))))
   4'(z) -{ 1 }-> 2'(0'(4'(4'(1'(0'(2'(2'(1'(1'(4'(0'(4'(0'(1'(4'(0'(4'(4'(3'(x1)))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   4'(z) -{ 2 }-> 1'(3'(1'(4'(0'(2'(1'(0'(0'(1'(3'(4'(0'(3'(3'(4'(2'(1'(2'(4'(3'(1'(2'(1'(4'(4'(3'(4'(3'(2'(2'(1'(3'(2'(1'(3'(4'(1'(4'(x11111))))))))))))))))))))))))))))))))))))))) :|: 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 + x11111))))))))))))))))))))))))))))))))))))), x11111 >= 0
   4'(z) -{ 2 }-> 1'(3'(1'(4'(0'(2'(1'(0'(0'(1'(3'(4'(0'(3'(3'(4'(2'(1'(2'(4'(2'(3'(2'(1'(0'(4'(3'(3'(1'(3'(3'(1'(4'(2'(0'(0'(1'(4'(3'(x11113))))))))))))))))))))))))))))))))))))))) :|: x11113 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11113)))))))))))))))))))))))))))))))))))))
   4'(z) -{ 2 }-> 1'(3'(1'(4'(0'(2'(1'(0'(0'(1'(3'(4'(0'(3'(3'(4'(2'(1'(2'(4'(1'(2'(4'(1'(3'(3'(4'(3'(3'(3'(1'(2'(2'(4'(1'(0'(3'(3'(1'(x11106))))))))))))))))))))))))))))))))))))))) :|: 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 + x11106))))))))))))))))))))))))))))))))))))), x11106 >= 0
   4'(z) -{ 2 }-> 1'(3'(1'(4'(0'(2'(1'(0'(0'(1'(3'(4'(0'(3'(3'(4'(2'(1'(2'(3'(2'(2'(0'(3'(0'(2'(2'(1'(2'(1'(0'(3'(4'(1'(3'(1'(2'(1'(2'(x11109))))))))))))))))))))))))))))))))))))))) :|: 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 + x11109))))))))))))))))))))))))))))))))))))), x11109 >= 0
   4'(z) -{ 2 }-> 1'(3'(1'(4'(0'(2'(1'(0'(0'(1'(3'(4'(0'(3'(3'(4'(2'(1'(2'(2'(1'(4'(4'(4'(1'(4'(1'(1'(2'(4'(1'(1'(2'(2'(1'(1'(0'(0'(0'(x11115))))))))))))))))))))))))))))))))))))))) :|: x11115 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11115)))))))))))))))))))))))))))))))))))))
   4'(z) -{ 2 }-> 1'(3'(1'(4'(0'(2'(1'(0'(0'(1'(3'(4'(0'(3'(3'(4'(2'(1'(2'(2'(1'(1'(1'(1'(3'(3'(4'(3'(1'(1'(4'(4'(2'(1'(3'(1'(0'(0'(3'(x11107))))))))))))))))))))))))))))))))))))))) :|: x11107 >= 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 + x11107)))))))))))))))))))))))))))))))))))))
   4'(z) -{ 2 }-> 1'(3'(1'(4'(0'(2'(1'(0'(0'(1'(3'(4'(0'(3'(3'(4'(2'(1'(2'(2'(0'(0'(4'(4'(1'(4'(3'(2'(1'(3'(1'(3'(0'(4'(1'(1'(4'(0'(2'(x11110))))))))))))))))))))))))))))))))))))))) :|: 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 + x11110))))))))))))))))))))))))))))))))))))), x11110 >= 0
   4'(z) -{ 2 }-> 1'(3'(1'(4'(0'(2'(1'(0'(0'(1'(3'(4'(0'(3'(3'(4'(2'(1'(2'(1'(4'(4'(0'(4'(0'(0'(2'(4'(0'(4'(3'(2'(1'(2'(4'(2'(4'(3'(1'(x11108))))))))))))))))))))))))))))))))))))))) :|: 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 + x11108))))))))))))))))))))))))))))))))))))), x11108 >= 0
   4'(z) -{ 2 }-> 1'(3'(1'(4'(0'(2'(1'(0'(0'(1'(3'(4'(0'(3'(3'(4'(2'(1'(2'(1'(4'(1'(3'(4'(3'(0'(1'(4'(0'(2'(1'(0'(1'(1'(0'(3'(1'(2'(2'(x11116))))))))))))))))))))))))))))))))))))))) :|: 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 + x11116))))))))))))))))))))))))))))))))))))), x11116 >= 0
   4'(z) -{ 2 }-> 1'(3'(1'(4'(0'(2'(1'(0'(0'(1'(3'(4'(0'(3'(3'(4'(2'(1'(2'(1'(2'(4'(1'(0'(0'(0'(1'(4'(2'(0'(0'(4'(4'(4'(1'(4'(3'(1'(4'(x11114))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11114))))))))))))))))))))))))))))))))))))), x11114 >= 0
   4'(z) -{ 2 }-> 1'(3'(1'(4'(0'(2'(1'(0'(0'(1'(3'(4'(0'(3'(3'(4'(2'(1'(2'(1'(2'(2'(4'(3'(1'(4'(4'(3'(1'(1'(0'(3'(3'(0'(3'(0'(1'(0'(4'(x11112))))))))))))))))))))))))))))))))))))))) :|: 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 + x11112))))))))))))))))))))))))))))))))))))), x11112 >= 0
   4'(z) -{ 1 }-> 1'(3'(1'(4'(0'(2'(1'(0'(0'(1'(3'(4'(0'(3'(3'(4'(2'(1'(2'(0))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   4'(z) -{ 1 }-> 1'(3'(1'(4'(0'(2'(1'(0'(0'(1'(3'(4'(0'(3'(3'(4'(2'(1'(2'(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))))))))))))))))))
   4'(z) -{ 1 }-> 1'(3'(1'(1'(1'(1'(3'(4'(4'(1'(4'(4'(1'(4'(0'(4'(2'(4'(1'(3'(x1)))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   4'(z) -{ 1 }-> 1'(2'(1'(2'(1'(1'(0'(4'(0'(1'(1'(4'(2'(1'(0'(4'(1'(0'(4'(3'(x1)))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   4'(z) -{ 1 }-> 1'(2'(1'(1'(1'(2'(4'(1'(4'(3'(1'(4'(1'(4'(3'(2'(0'(4'(2'(2'(x1)))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   4'(z) -{ 1 }-> 1'(1'(0'(3'(4'(0'(2'(3'(1'(4'(2'(4'(1'(0'(4'(0'(3'(1'(1'(4'(x1)))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   4'(z) -{ 1 }-> 0'(3'(1'(0'(4'(1'(4'(2'(3'(1'(4'(4'(1'(2'(0'(1'(0'(0'(0'(4'(x1)))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   4'(z) -{ 2 }-> 0'(0'(3'(2'(1'(2'(3'(2'(4'(3'(1'(2'(0'(2'(2'(1'(1'(0'(3'(4'(3'(1'(2'(1'(4'(4'(3'(4'(3'(2'(2'(1'(3'(2'(1'(3'(4'(1'(4'(x11021))))))))))))))))))))))))))))))))))))))) :|: 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 + x11021))))))))))))))))))))))))))))))))))))), x11021 >= 0
   4'(z) -{ 2 }-> 0'(0'(3'(2'(1'(2'(3'(2'(4'(3'(1'(2'(0'(2'(2'(1'(1'(0'(3'(4'(2'(3'(2'(1'(0'(4'(3'(3'(1'(3'(3'(1'(4'(2'(0'(0'(1'(4'(3'(x11023))))))))))))))))))))))))))))))))))))))) :|: 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 + x11023))))))))))))))))))))))))))))))))))))), x11023 >= 0
   4'(z) -{ 2 }-> 0'(0'(3'(2'(1'(2'(3'(2'(4'(3'(1'(2'(0'(2'(2'(1'(1'(0'(3'(4'(1'(2'(4'(1'(3'(3'(4'(3'(3'(3'(1'(2'(2'(4'(1'(0'(3'(3'(1'(x11016))))))))))))))))))))))))))))))))))))))) :|: 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 + x11016))))))))))))))))))))))))))))))))))))), x11016 >= 0
   4'(z) -{ 2 }-> 0'(0'(3'(2'(1'(2'(3'(2'(4'(3'(1'(2'(0'(2'(2'(1'(1'(0'(3'(3'(2'(2'(0'(3'(0'(2'(2'(1'(2'(1'(0'(3'(4'(1'(3'(1'(2'(1'(2'(x11019))))))))))))))))))))))))))))))))))))))) :|: 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 + x11019))))))))))))))))))))))))))))))))))))), x11019 >= 0
   4'(z) -{ 2 }-> 0'(0'(3'(2'(1'(2'(3'(2'(4'(3'(1'(2'(0'(2'(2'(1'(1'(0'(3'(2'(1'(4'(4'(4'(1'(4'(1'(1'(2'(4'(1'(1'(2'(2'(1'(1'(0'(0'(0'(x11025))))))))))))))))))))))))))))))))))))))) :|: x11025 >= 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 + x11025)))))))))))))))))))))))))))))))))))))
   4'(z) -{ 2 }-> 0'(0'(3'(2'(1'(2'(3'(2'(4'(3'(1'(2'(0'(2'(2'(1'(1'(0'(3'(2'(1'(1'(1'(1'(3'(3'(4'(3'(1'(1'(4'(4'(2'(1'(3'(1'(0'(0'(3'(x11017))))))))))))))))))))))))))))))))))))))) :|: x11017 >= 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 + x11017)))))))))))))))))))))))))))))))))))))
   4'(z) -{ 2 }-> 0'(0'(3'(2'(1'(2'(3'(2'(4'(3'(1'(2'(0'(2'(2'(1'(1'(0'(3'(2'(0'(0'(4'(4'(1'(4'(3'(2'(1'(3'(1'(3'(0'(4'(1'(1'(4'(0'(2'(x11020))))))))))))))))))))))))))))))))))))))) :|: 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 + x11020))))))))))))))))))))))))))))))))))))), x11020 >= 0
   4'(z) -{ 2 }-> 0'(0'(3'(2'(1'(2'(3'(2'(4'(3'(1'(2'(0'(2'(2'(1'(1'(0'(3'(1'(4'(4'(0'(4'(0'(0'(2'(4'(0'(4'(3'(2'(1'(2'(4'(2'(4'(3'(1'(x11018))))))))))))))))))))))))))))))))))))))) :|: x11018 >= 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 + x11018)))))))))))))))))))))))))))))))))))))
   4'(z) -{ 2 }-> 0'(0'(3'(2'(1'(2'(3'(2'(4'(3'(1'(2'(0'(2'(2'(1'(1'(0'(3'(1'(4'(1'(3'(4'(3'(0'(1'(4'(0'(2'(1'(0'(1'(1'(0'(3'(1'(2'(2'(x11026))))))))))))))))))))))))))))))))))))))) :|: 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 + x11026))))))))))))))))))))))))))))))))))))), x11026 >= 0
   4'(z) -{ 2 }-> 0'(0'(3'(2'(1'(2'(3'(2'(4'(3'(1'(2'(0'(2'(2'(1'(1'(0'(3'(1'(2'(4'(1'(0'(0'(0'(1'(4'(2'(0'(0'(4'(4'(4'(1'(4'(3'(1'(4'(x11024))))))))))))))))))))))))))))))))))))))) :|: 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 + x11024))))))))))))))))))))))))))))))))))))), x11024 >= 0
   4'(z) -{ 2 }-> 0'(0'(3'(2'(1'(2'(3'(2'(4'(3'(1'(2'(0'(2'(2'(1'(1'(0'(3'(1'(2'(2'(4'(3'(1'(4'(4'(3'(1'(1'(0'(3'(3'(0'(3'(0'(1'(0'(4'(x11022))))))))))))))))))))))))))))))))))))))) :|: x11022 >= 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 + x11022)))))))))))))))))))))))))))))))))))))
   4'(z) -{ 1 }-> 0'(0'(3'(2'(1'(2'(3'(2'(4'(3'(1'(2'(0'(2'(2'(1'(1'(0'(3'(0))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   4'(z) -{ 1 }-> 0'(0'(3'(2'(1'(2'(3'(2'(4'(3'(1'(2'(0'(2'(2'(1'(1'(0'(3'(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))))))))))))))))))
   4'(z) -{ 0 }-> 0 :|: v0 >= 0, z = v0
   4'(z) -{ 0 }-> 1 + x0 :|: z = x0, x0 >= 0
   encArg(z) -{ 0 }-> 4'(4'(encArg(x_123))) :|: x_123 >= 0, z = 1 + (1 + x_123)
   encArg(z) -{ 0 }-> 4'(3'(encArg(x_122))) :|: x_122 >= 0, z = 1 + (1 + x_122)
   encArg(z) -{ 0 }-> 4'(2'(encArg(x_121))) :|: z = 1 + (1 + x_121), x_121 >= 0
   encArg(z) -{ 0 }-> 4'(1'(encArg(x_120))) :|: x_120 >= 0, z = 1 + (1 + x_120)
   encArg(z) -{ 0 }-> 4'(0'(encArg(x_119))) :|: z = 1 + (1 + x_119), x_119 >= 0
   encArg(z) -{ 0 }-> 4'(0) :|: z = 1 + x_1, x_1 >= 0
   encArg(z) -{ 0 }-> 3'(4'(encArg(x_118))) :|: z = 1 + (1 + x_118), x_118 >= 0
   encArg(z) -{ 0 }-> 3'(3'(encArg(x_117))) :|: z = 1 + (1 + x_117), x_117 >= 0
   encArg(z) -{ 0 }-> 3'(2'(encArg(x_116))) :|: z = 1 + (1 + x_116), x_116 >= 0
   encArg(z) -{ 0 }-> 3'(1'(encArg(x_115))) :|: z = 1 + (1 + x_115), x_115 >= 0
   encArg(z) -{ 0 }-> 3'(0'(encArg(x_114))) :|: z = 1 + (1 + x_114), x_114 >= 0
   encArg(z) -{ 0 }-> 3'(0) :|: z = 1 + x_1, x_1 >= 0
   encArg(z) -{ 0 }-> 2'(4'(encArg(x_113))) :|: x_113 >= 0, z = 1 + (1 + x_113)
   encArg(z) -{ 0 }-> 2'(3'(encArg(x_112))) :|: x_112 >= 0, z = 1 + (1 + x_112)
   encArg(z) -{ 0 }-> 2'(2'(encArg(x_111))) :|: z = 1 + (1 + x_111), x_111 >= 0
   encArg(z) -{ 0 }-> 2'(1'(encArg(x_110))) :|: z = 1 + (1 + x_110), x_110 >= 0
   encArg(z) -{ 0 }-> 2'(0'(encArg(x_19))) :|: z = 1 + (1 + x_19), x_19 >= 0
   encArg(z) -{ 0 }-> 2'(0) :|: z = 1 + x_1, x_1 >= 0
   encArg(z) -{ 0 }-> 1'(4'(encArg(x_18))) :|: z = 1 + (1 + x_18), x_18 >= 0
   encArg(z) -{ 0 }-> 1'(3'(encArg(x_17))) :|: x_17 >= 0, z = 1 + (1 + x_17)
   encArg(z) -{ 0 }-> 1'(2'(encArg(x_16))) :|: x_16 >= 0, z = 1 + (1 + x_16)
   encArg(z) -{ 0 }-> 1'(1'(encArg(x_15))) :|: x_15 >= 0, z = 1 + (1 + x_15)
   encArg(z) -{ 0 }-> 1'(0'(encArg(x_14))) :|: x_14 >= 0, z = 1 + (1 + x_14)
   encArg(z) -{ 0 }-> 1'(0) :|: z = 1 + x_1, x_1 >= 0
   encArg(z) -{ 0 }-> 0'(4'(encArg(x_13))) :|: z = 1 + (1 + x_13), x_13 >= 0
   encArg(z) -{ 0 }-> 0'(3'(encArg(x_12))) :|: z = 1 + (1 + x_12), x_12 >= 0
   encArg(z) -{ 0 }-> 0'(2'(encArg(x_11))) :|: x_11 >= 0, z = 1 + (1 + x_11)
   encArg(z) -{ 0 }-> 0'(1'(encArg(x_1''))) :|: z = 1 + (1 + x_1''), x_1'' >= 0
   encArg(z) -{ 0 }-> 0'(0'(encArg(x_1'))) :|: z = 1 + (1 + x_1'), x_1' >= 0
   encArg(z) -{ 0 }-> 0'(0) :|: z = 1 + x_1, x_1 >= 0
   encArg(z) -{ 0 }-> 0 :|: v0 >= 0, z = v0
   encode_0(z) -{ 0 }-> 0'(4'(encArg(x_128))) :|: x_128 >= 0, z = 1 + x_128
   encode_0(z) -{ 0 }-> 0'(3'(encArg(x_127))) :|: x_127 >= 0, z = 1 + x_127
   encode_0(z) -{ 0 }-> 0'(2'(encArg(x_126))) :|: z = 1 + x_126, x_126 >= 0
   encode_0(z) -{ 0 }-> 0'(1'(encArg(x_125))) :|: z = 1 + x_125, x_125 >= 0
   encode_0(z) -{ 0 }-> 0'(0'(encArg(x_124))) :|: x_124 >= 0, z = 1 + x_124
   encode_0(z) -{ 0 }-> 0'(0) :|: x_1 >= 0, z = x_1
   encode_0(z) -{ 0 }-> 0 :|: v0 >= 0, z = v0
   encode_1(z) -{ 0 }-> 1'(4'(encArg(x_133))) :|: z = 1 + x_133, x_133 >= 0
   encode_1(z) -{ 0 }-> 1'(3'(encArg(x_132))) :|: z = 1 + x_132, x_132 >= 0
   encode_1(z) -{ 0 }-> 1'(2'(encArg(x_131))) :|: z = 1 + x_131, x_131 >= 0
   encode_1(z) -{ 0 }-> 1'(1'(encArg(x_130))) :|: x_130 >= 0, z = 1 + x_130
   encode_1(z) -{ 0 }-> 1'(0'(encArg(x_129))) :|: z = 1 + x_129, x_129 >= 0
   encode_1(z) -{ 0 }-> 1'(0) :|: x_1 >= 0, z = x_1
   encode_1(z) -{ 0 }-> 0 :|: v0 >= 0, z = v0
   encode_2(z) -{ 0 }-> 2'(4'(encArg(x_138))) :|: x_138 >= 0, z = 1 + x_138
   encode_2(z) -{ 0 }-> 2'(3'(encArg(x_137))) :|: z = 1 + x_137, x_137 >= 0
   encode_2(z) -{ 0 }-> 2'(2'(encArg(x_136))) :|: x_136 >= 0, z = 1 + x_136
   encode_2(z) -{ 0 }-> 2'(1'(encArg(x_135))) :|: z = 1 + x_135, x_135 >= 0
   encode_2(z) -{ 0 }-> 2'(0'(encArg(x_134))) :|: x_134 >= 0, z = 1 + x_134
   encode_2(z) -{ 0 }-> 2'(0) :|: x_1 >= 0, z = x_1
   encode_2(z) -{ 0 }-> 0 :|: v0 >= 0, z = v0
   encode_3(z) -{ 0 }-> 3'(4'(encArg(x_143))) :|: x_143 >= 0, z = 1 + x_143
   encode_3(z) -{ 0 }-> 3'(3'(encArg(x_142))) :|: z = 1 + x_142, x_142 >= 0
   encode_3(z) -{ 0 }-> 3'(2'(encArg(x_141))) :|: z = 1 + x_141, x_141 >= 0
   encode_3(z) -{ 0 }-> 3'(1'(encArg(x_140))) :|: z = 1 + x_140, x_140 >= 0
   encode_3(z) -{ 0 }-> 3'(0'(encArg(x_139))) :|: z = 1 + x_139, x_139 >= 0
   encode_3(z) -{ 0 }-> 3'(0) :|: x_1 >= 0, z = x_1
   encode_3(z) -{ 0 }-> 0 :|: v0 >= 0, z = v0
   encode_4(z) -{ 0 }-> 4'(4'(encArg(x_148))) :|: z = 1 + x_148, x_148 >= 0
   encode_4(z) -{ 0 }-> 4'(3'(encArg(x_147))) :|: z = 1 + x_147, x_147 >= 0
   encode_4(z) -{ 0 }-> 4'(2'(encArg(x_146))) :|: x_146 >= 0, z = 1 + x_146
   encode_4(z) -{ 0 }-> 4'(1'(encArg(x_145))) :|: x_145 >= 0, z = 1 + x_145
   encode_4(z) -{ 0 }-> 4'(0'(encArg(x_144))) :|: x_144 >= 0, z = 1 + x_144
   encode_4(z) -{ 0 }-> 4'(0) :|: x_1 >= 0, z = x_1
   encode_4(z) -{ 0 }-> 0 :|: v0 >= 0, z = v0


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

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

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

   0'(z) -{ 1 }-> 4'(4'(3'(3'(1'(4'(0'(3'(2'(3'(3'(1'(4'(0'(1'(2'(1'(4'(1'(0'(z - 19)))))))))))))))))))) :|: z - 19 >= 0
   0'(z) -{ 1 }-> 4'(2'(1'(0'(1'(3'(3'(4'(0'(0'(2'(3'(3'(4'(3'(1'(4'(1'(0'(4'(z - 19)))))))))))))))))))) :|: z - 19 >= 0
   0'(z) -{ 2 }-> 4'(0'(2'(4'(3'(1'(3'(1'(0'(2'(3'(3'(2'(1'(0'(4'(4'(1'(2'(4'(3'(1'(2'(1'(4'(4'(3'(4'(3'(2'(2'(1'(3'(2'(1'(3'(4'(1'(4'(z - 38))))))))))))))))))))))))))))))))))))))) :|: z - 38 >= 0
   0'(z) -{ 2 }-> 4'(0'(2'(4'(3'(1'(3'(1'(0'(2'(3'(3'(2'(1'(0'(4'(4'(1'(2'(4'(2'(3'(2'(1'(0'(4'(3'(3'(1'(3'(3'(1'(4'(2'(0'(0'(1'(4'(3'(z - 38))))))))))))))))))))))))))))))))))))))) :|: z - 38 >= 0
   0'(z) -{ 2 }-> 4'(0'(2'(4'(3'(1'(3'(1'(0'(2'(3'(3'(2'(1'(0'(4'(4'(1'(2'(4'(1'(2'(4'(1'(3'(3'(4'(3'(3'(3'(1'(2'(2'(4'(1'(0'(3'(3'(1'(z - 38))))))))))))))))))))))))))))))))))))))) :|: z - 38 >= 0
   0'(z) -{ 2 }-> 4'(0'(2'(4'(3'(1'(3'(1'(0'(2'(3'(3'(2'(1'(0'(4'(4'(1'(2'(3'(2'(2'(0'(3'(0'(2'(2'(1'(2'(1'(0'(3'(4'(1'(3'(1'(2'(1'(2'(z - 38))))))))))))))))))))))))))))))))))))))) :|: z - 38 >= 0
   0'(z) -{ 2 }-> 4'(0'(2'(4'(3'(1'(3'(1'(0'(2'(3'(3'(2'(1'(0'(4'(4'(1'(2'(2'(1'(4'(4'(4'(1'(4'(1'(1'(2'(4'(1'(1'(2'(2'(1'(1'(0'(0'(0'(z - 38))))))))))))))))))))))))))))))))))))))) :|: z - 38 >= 0
   0'(z) -{ 2 }-> 4'(0'(2'(4'(3'(1'(3'(1'(0'(2'(3'(3'(2'(1'(0'(4'(4'(1'(2'(2'(1'(1'(1'(1'(3'(3'(4'(3'(1'(1'(4'(4'(2'(1'(3'(1'(0'(0'(3'(z - 38))))))))))))))))))))))))))))))))))))))) :|: z - 38 >= 0
   0'(z) -{ 2 }-> 4'(0'(2'(4'(3'(1'(3'(1'(0'(2'(3'(3'(2'(1'(0'(4'(4'(1'(2'(2'(0'(0'(4'(4'(1'(4'(3'(2'(1'(3'(1'(3'(0'(4'(1'(1'(4'(0'(2'(z - 38))))))))))))))))))))))))))))))))))))))) :|: z - 38 >= 0
   0'(z) -{ 2 }-> 4'(0'(2'(4'(3'(1'(3'(1'(0'(2'(3'(3'(2'(1'(0'(4'(4'(1'(2'(1'(4'(4'(0'(4'(0'(0'(2'(4'(0'(4'(3'(2'(1'(2'(4'(2'(4'(3'(1'(z - 38))))))))))))))))))))))))))))))))))))))) :|: z - 38 >= 0
   0'(z) -{ 2 }-> 4'(0'(2'(4'(3'(1'(3'(1'(0'(2'(3'(3'(2'(1'(0'(4'(4'(1'(2'(1'(4'(1'(3'(4'(3'(0'(1'(4'(0'(2'(1'(0'(1'(1'(0'(3'(1'(2'(2'(z - 38))))))))))))))))))))))))))))))))))))))) :|: z - 38 >= 0
   0'(z) -{ 2 }-> 4'(0'(2'(4'(3'(1'(3'(1'(0'(2'(3'(3'(2'(1'(0'(4'(4'(1'(2'(1'(2'(4'(1'(0'(0'(0'(1'(4'(2'(0'(0'(4'(4'(4'(1'(4'(3'(1'(4'(z - 38))))))))))))))))))))))))))))))))))))))) :|: z - 38 >= 0
   0'(z) -{ 2 }-> 4'(0'(2'(4'(3'(1'(3'(1'(0'(2'(3'(3'(2'(1'(0'(4'(4'(1'(2'(1'(2'(2'(4'(3'(1'(4'(4'(3'(1'(1'(0'(3'(3'(0'(3'(0'(1'(0'(4'(z - 38))))))))))))))))))))))))))))))))))))))) :|: z - 38 >= 0
   0'(z) -{ 1 }-> 4'(0'(2'(4'(3'(1'(3'(1'(0'(2'(3'(3'(2'(1'(0'(4'(4'(1'(2'(0))))))))))))))))))) :|: z - 19 >= 0
   0'(z) -{ 1 }-> 4'(0'(2'(4'(3'(1'(3'(1'(0'(2'(3'(3'(2'(1'(0'(4'(4'(1'(2'(1 + (z - 19)))))))))))))))))))) :|: z - 19 >= 0
   0'(z) -{ 1 }-> 4'(0'(0'(0'(4'(4'(2'(1'(3'(1'(0'(1'(2'(2'(2'(4'(4'(4'(2'(3'(z - 19)))))))))))))))))))) :|: z - 19 >= 0
   0'(z) -{ 2 }-> 3'(2'(3'(0'(1'(2'(2'(3'(1'(4'(0'(4'(1'(1'(1'(4'(2'(2'(1'(4'(3'(1'(2'(1'(4'(4'(3'(4'(3'(2'(2'(1'(3'(2'(1'(3'(4'(1'(4'(z - 38))))))))))))))))))))))))))))))))))))))) :|: z - 38 >= 0
   0'(z) -{ 2 }-> 3'(2'(3'(0'(1'(2'(2'(3'(1'(4'(0'(4'(1'(1'(1'(4'(2'(2'(1'(4'(2'(3'(2'(1'(0'(4'(3'(3'(1'(3'(3'(1'(4'(2'(0'(0'(1'(4'(3'(z - 38))))))))))))))))))))))))))))))))))))))) :|: z - 38 >= 0
   0'(z) -{ 2 }-> 3'(2'(3'(0'(1'(2'(2'(3'(1'(4'(0'(4'(1'(1'(1'(4'(2'(2'(1'(4'(1'(2'(4'(1'(3'(3'(4'(3'(3'(3'(1'(2'(2'(4'(1'(0'(3'(3'(1'(z - 38))))))))))))))))))))))))))))))))))))))) :|: z - 38 >= 0
   0'(z) -{ 2 }-> 3'(2'(3'(0'(1'(2'(2'(3'(1'(4'(0'(4'(1'(1'(1'(4'(2'(2'(1'(3'(2'(2'(0'(3'(0'(2'(2'(1'(2'(1'(0'(3'(4'(1'(3'(1'(2'(1'(2'(z - 38))))))))))))))))))))))))))))))))))))))) :|: z - 38 >= 0
   0'(z) -{ 2 }-> 3'(2'(3'(0'(1'(2'(2'(3'(1'(4'(0'(4'(1'(1'(1'(4'(2'(2'(1'(2'(1'(4'(4'(4'(1'(4'(1'(1'(2'(4'(1'(1'(2'(2'(1'(1'(0'(0'(0'(z - 38))))))))))))))))))))))))))))))))))))))) :|: z - 38 >= 0
   0'(z) -{ 2 }-> 3'(2'(3'(0'(1'(2'(2'(3'(1'(4'(0'(4'(1'(1'(1'(4'(2'(2'(1'(2'(1'(1'(1'(1'(3'(3'(4'(3'(1'(1'(4'(4'(2'(1'(3'(1'(0'(0'(3'(z - 38))))))))))))))))))))))))))))))))))))))) :|: z - 38 >= 0
   0'(z) -{ 2 }-> 3'(2'(3'(0'(1'(2'(2'(3'(1'(4'(0'(4'(1'(1'(1'(4'(2'(2'(1'(2'(0'(0'(4'(4'(1'(4'(3'(2'(1'(3'(1'(3'(0'(4'(1'(1'(4'(0'(2'(z - 38))))))))))))))))))))))))))))))))))))))) :|: z - 38 >= 0
   0'(z) -{ 2 }-> 3'(2'(3'(0'(1'(2'(2'(3'(1'(4'(0'(4'(1'(1'(1'(4'(2'(2'(1'(1'(4'(4'(0'(4'(0'(0'(2'(4'(0'(4'(3'(2'(1'(2'(4'(2'(4'(3'(1'(z - 38))))))))))))))))))))))))))))))))))))))) :|: z - 38 >= 0
   0'(z) -{ 2 }-> 3'(2'(3'(0'(1'(2'(2'(3'(1'(4'(0'(4'(1'(1'(1'(4'(2'(2'(1'(1'(4'(1'(3'(4'(3'(0'(1'(4'(0'(2'(1'(0'(1'(1'(0'(3'(1'(2'(2'(z - 38))))))))))))))))))))))))))))))))))))))) :|: z - 38 >= 0
   0'(z) -{ 2 }-> 3'(2'(3'(0'(1'(2'(2'(3'(1'(4'(0'(4'(1'(1'(1'(4'(2'(2'(1'(1'(2'(4'(1'(0'(0'(0'(1'(4'(2'(0'(0'(4'(4'(4'(1'(4'(3'(1'(4'(z - 38))))))))))))))))))))))))))))))))))))))) :|: z - 38 >= 0
   0'(z) -{ 2 }-> 3'(2'(3'(0'(1'(2'(2'(3'(1'(4'(0'(4'(1'(1'(1'(4'(2'(2'(1'(1'(2'(2'(4'(3'(1'(4'(4'(3'(1'(1'(0'(3'(3'(0'(3'(0'(1'(0'(4'(z - 38))))))))))))))))))))))))))))))))))))))) :|: z - 38 >= 0
   0'(z) -{ 1 }-> 3'(2'(3'(0'(1'(2'(2'(3'(1'(4'(0'(4'(1'(1'(1'(4'(2'(2'(1'(0))))))))))))))))))) :|: z - 19 >= 0
   0'(z) -{ 1 }-> 3'(2'(3'(0'(1'(2'(2'(3'(1'(4'(0'(4'(1'(1'(1'(4'(2'(2'(1'(1 + (z - 19)))))))))))))))))))) :|: z - 19 >= 0
   0'(z) -{ 2 }-> 3'(2'(1'(1'(4'(1'(2'(1'(4'(0'(2'(1'(1'(4'(4'(0'(1'(2'(2'(4'(3'(1'(2'(1'(4'(4'(3'(4'(3'(2'(2'(1'(3'(2'(1'(3'(4'(1'(4'(z - 38))))))))))))))))))))))))))))))))))))))) :|: z - 38 >= 0
   0'(z) -{ 2 }-> 3'(2'(1'(1'(4'(1'(2'(1'(4'(0'(2'(1'(1'(4'(4'(0'(1'(2'(2'(4'(2'(3'(2'(1'(0'(4'(3'(3'(1'(3'(3'(1'(4'(2'(0'(0'(1'(4'(3'(z - 38))))))))))))))))))))))))))))))))))))))) :|: z - 38 >= 0
   0'(z) -{ 2 }-> 3'(2'(1'(1'(4'(1'(2'(1'(4'(0'(2'(1'(1'(4'(4'(0'(1'(2'(2'(4'(1'(2'(4'(1'(3'(3'(4'(3'(3'(3'(1'(2'(2'(4'(1'(0'(3'(3'(1'(z - 38))))))))))))))))))))))))))))))))))))))) :|: z - 38 >= 0
   0'(z) -{ 2 }-> 3'(2'(1'(1'(4'(1'(2'(1'(4'(0'(2'(1'(1'(4'(4'(0'(1'(2'(2'(3'(2'(2'(0'(3'(0'(2'(2'(1'(2'(1'(0'(3'(4'(1'(3'(1'(2'(1'(2'(z - 38))))))))))))))))))))))))))))))))))))))) :|: z - 38 >= 0
   0'(z) -{ 2 }-> 3'(2'(1'(1'(4'(1'(2'(1'(4'(0'(2'(1'(1'(4'(4'(0'(1'(2'(2'(2'(1'(4'(4'(4'(1'(4'(1'(1'(2'(4'(1'(1'(2'(2'(1'(1'(0'(0'(0'(z - 38))))))))))))))))))))))))))))))))))))))) :|: z - 38 >= 0
   0'(z) -{ 2 }-> 3'(2'(1'(1'(4'(1'(2'(1'(4'(0'(2'(1'(1'(4'(4'(0'(1'(2'(2'(2'(1'(1'(1'(1'(3'(3'(4'(3'(1'(1'(4'(4'(2'(1'(3'(1'(0'(0'(3'(z - 38))))))))))))))))))))))))))))))))))))))) :|: z - 38 >= 0
   0'(z) -{ 2 }-> 3'(2'(1'(1'(4'(1'(2'(1'(4'(0'(2'(1'(1'(4'(4'(0'(1'(2'(2'(2'(0'(0'(4'(4'(1'(4'(3'(2'(1'(3'(1'(3'(0'(4'(1'(1'(4'(0'(2'(z - 38))))))))))))))))))))))))))))))))))))))) :|: z - 38 >= 0
   0'(z) -{ 2 }-> 3'(2'(1'(1'(4'(1'(2'(1'(4'(0'(2'(1'(1'(4'(4'(0'(1'(2'(2'(1'(4'(4'(0'(4'(0'(0'(2'(4'(0'(4'(3'(2'(1'(2'(4'(2'(4'(3'(1'(z - 38))))))))))))))))))))))))))))))))))))))) :|: z - 38 >= 0
   0'(z) -{ 2 }-> 3'(2'(1'(1'(4'(1'(2'(1'(4'(0'(2'(1'(1'(4'(4'(0'(1'(2'(2'(1'(4'(1'(3'(4'(3'(0'(1'(4'(0'(2'(1'(0'(1'(1'(0'(3'(1'(2'(2'(z - 38))))))))))))))))))))))))))))))))))))))) :|: z - 38 >= 0
   0'(z) -{ 2 }-> 3'(2'(1'(1'(4'(1'(2'(1'(4'(0'(2'(1'(1'(4'(4'(0'(1'(2'(2'(1'(2'(4'(1'(0'(0'(0'(1'(4'(2'(0'(0'(4'(4'(4'(1'(4'(3'(1'(4'(z - 38))))))))))))))))))))))))))))))))))))))) :|: z - 38 >= 0
   0'(z) -{ 2 }-> 3'(2'(1'(1'(4'(1'(2'(1'(4'(0'(2'(1'(1'(4'(4'(0'(1'(2'(2'(1'(2'(2'(4'(3'(1'(4'(4'(3'(1'(1'(0'(3'(3'(0'(3'(0'(1'(0'(4'(z - 38))))))))))))))))))))))))))))))))))))))) :|: z - 38 >= 0
   0'(z) -{ 1 }-> 3'(2'(1'(1'(4'(1'(2'(1'(4'(0'(2'(1'(1'(4'(4'(0'(1'(2'(2'(0))))))))))))))))))) :|: z - 19 >= 0
   0'(z) -{ 1 }-> 3'(2'(1'(1'(4'(1'(2'(1'(4'(0'(2'(1'(1'(4'(4'(0'(1'(2'(2'(1 + (z - 19)))))))))))))))))))) :|: z - 19 >= 0
   0'(z) -{ 1 }-> 3'(2'(0'(3'(2'(4'(3'(4'(4'(2'(1'(0'(1'(4'(1'(3'(1'(4'(4'(4'(z - 19)))))))))))))))))))) :|: z - 19 >= 0
   0'(z) -{ 1 }-> 3'(1'(3'(2'(0'(4'(1'(3'(2'(1'(0'(4'(0'(4'(4'(3'(2'(1'(4'(3'(z - 19)))))))))))))))))))) :|: z - 19 >= 0
   0'(z) -{ 2 }-> 3'(1'(2'(3'(4'(3'(0'(2'(2'(2'(1'(2'(2'(3'(4'(2'(1'(4'(3'(4'(3'(1'(2'(1'(4'(4'(3'(4'(3'(2'(2'(1'(3'(2'(1'(3'(4'(1'(4'(z - 38))))))))))))))))))))))))))))))))))))))) :|: z - 38 >= 0
   0'(z) -{ 2 }-> 3'(1'(2'(3'(4'(3'(0'(2'(2'(2'(1'(2'(2'(3'(4'(2'(1'(4'(3'(4'(2'(3'(2'(1'(0'(4'(3'(3'(1'(3'(3'(1'(4'(2'(0'(0'(1'(4'(3'(z - 38))))))))))))))))))))))))))))))))))))))) :|: z - 38 >= 0
   0'(z) -{ 2 }-> 3'(1'(2'(3'(4'(3'(0'(2'(2'(2'(1'(2'(2'(3'(4'(2'(1'(4'(3'(4'(1'(2'(4'(1'(3'(3'(4'(3'(3'(3'(1'(2'(2'(4'(1'(0'(3'(3'(1'(z - 38))))))))))))))))))))))))))))))))))))))) :|: z - 38 >= 0
   0'(z) -{ 2 }-> 3'(1'(2'(3'(4'(3'(0'(2'(2'(2'(1'(2'(2'(3'(4'(2'(1'(4'(3'(3'(2'(2'(0'(3'(0'(2'(2'(1'(2'(1'(0'(3'(4'(1'(3'(1'(2'(1'(2'(z - 38))))))))))))))))))))))))))))))))))))))) :|: z - 38 >= 0
   0'(z) -{ 2 }-> 3'(1'(2'(3'(4'(3'(0'(2'(2'(2'(1'(2'(2'(3'(4'(2'(1'(4'(3'(2'(1'(4'(4'(4'(1'(4'(1'(1'(2'(4'(1'(1'(2'(2'(1'(1'(0'(0'(0'(z - 38))))))))))))))))))))))))))))))))))))))) :|: z - 38 >= 0
   0'(z) -{ 2 }-> 3'(1'(2'(3'(4'(3'(0'(2'(2'(2'(1'(2'(2'(3'(4'(2'(1'(4'(3'(2'(1'(1'(1'(1'(3'(3'(4'(3'(1'(1'(4'(4'(2'(1'(3'(1'(0'(0'(3'(z - 38))))))))))))))))))))))))))))))))))))))) :|: z - 38 >= 0
   0'(z) -{ 2 }-> 3'(1'(2'(3'(4'(3'(0'(2'(2'(2'(1'(2'(2'(3'(4'(2'(1'(4'(3'(2'(0'(0'(4'(4'(1'(4'(3'(2'(1'(3'(1'(3'(0'(4'(1'(1'(4'(0'(2'(z - 38))))))))))))))))))))))))))))))))))))))) :|: z - 38 >= 0
   0'(z) -{ 2 }-> 3'(1'(2'(3'(4'(3'(0'(2'(2'(2'(1'(2'(2'(3'(4'(2'(1'(4'(3'(1'(4'(4'(0'(4'(0'(0'(2'(4'(0'(4'(3'(2'(1'(2'(4'(2'(4'(3'(1'(z - 38))))))))))))))))))))))))))))))))))))))) :|: z - 38 >= 0
   0'(z) -{ 2 }-> 3'(1'(2'(3'(4'(3'(0'(2'(2'(2'(1'(2'(2'(3'(4'(2'(1'(4'(3'(1'(4'(1'(3'(4'(3'(0'(1'(4'(0'(2'(1'(0'(1'(1'(0'(3'(1'(2'(2'(z - 38))))))))))))))))))))))))))))))))))))))) :|: z - 38 >= 0
   0'(z) -{ 2 }-> 3'(1'(2'(3'(4'(3'(0'(2'(2'(2'(1'(2'(2'(3'(4'(2'(1'(4'(3'(1'(2'(4'(1'(0'(0'(0'(1'(4'(2'(0'(0'(4'(4'(4'(1'(4'(3'(1'(4'(z - 38))))))))))))))))))))))))))))))))))))))) :|: z - 38 >= 0
   0'(z) -{ 2 }-> 3'(1'(2'(3'(4'(3'(0'(2'(2'(2'(1'(2'(2'(3'(4'(2'(1'(4'(3'(1'(2'(2'(4'(3'(1'(4'(4'(3'(1'(1'(0'(3'(3'(0'(3'(0'(1'(0'(4'(z - 38))))))))))))))))))))))))))))))))))))))) :|: z - 38 >= 0
   0'(z) -{ 1 }-> 3'(1'(2'(3'(4'(3'(0'(2'(2'(2'(1'(2'(2'(3'(4'(2'(1'(4'(3'(0))))))))))))))))))) :|: z - 19 >= 0
   0'(z) -{ 1 }-> 3'(1'(2'(3'(4'(3'(0'(2'(2'(2'(1'(2'(2'(3'(4'(2'(1'(4'(3'(1 + (z - 19)))))))))))))))))))) :|: z - 19 >= 0
   0'(z) -{ 2 }-> 2'(3'(3'(3'(1'(3'(2'(4'(2'(1'(1'(3'(0'(2'(1'(2'(3'(4'(2'(4'(3'(1'(2'(1'(4'(4'(3'(4'(3'(2'(2'(1'(3'(2'(1'(3'(4'(1'(4'(z - 38))))))))))))))))))))))))))))))))))))))) :|: z - 38 >= 0
   0'(z) -{ 2 }-> 2'(3'(3'(3'(1'(3'(2'(4'(2'(1'(1'(3'(0'(2'(1'(2'(3'(4'(2'(4'(2'(3'(2'(1'(0'(4'(3'(3'(1'(3'(3'(1'(4'(2'(0'(0'(1'(4'(3'(z - 38))))))))))))))))))))))))))))))))))))))) :|: z - 38 >= 0
   0'(z) -{ 2 }-> 2'(3'(3'(3'(1'(3'(2'(4'(2'(1'(1'(3'(0'(2'(1'(2'(3'(4'(2'(4'(1'(2'(4'(1'(3'(3'(4'(3'(3'(3'(1'(2'(2'(4'(1'(0'(3'(3'(1'(z - 38))))))))))))))))))))))))))))))))))))))) :|: z - 38 >= 0
   0'(z) -{ 2 }-> 2'(3'(3'(3'(1'(3'(2'(4'(2'(1'(1'(3'(0'(2'(1'(2'(3'(4'(2'(3'(2'(2'(0'(3'(0'(2'(2'(1'(2'(1'(0'(3'(4'(1'(3'(1'(2'(1'(2'(z - 38))))))))))))))))))))))))))))))))))))))) :|: z - 38 >= 0
   0'(z) -{ 2 }-> 2'(3'(3'(3'(1'(3'(2'(4'(2'(1'(1'(3'(0'(2'(1'(2'(3'(4'(2'(2'(1'(4'(4'(4'(1'(4'(1'(1'(2'(4'(1'(1'(2'(2'(1'(1'(0'(0'(0'(z - 38))))))))))))))))))))))))))))))))))))))) :|: z - 38 >= 0
   0'(z) -{ 2 }-> 2'(3'(3'(3'(1'(3'(2'(4'(2'(1'(1'(3'(0'(2'(1'(2'(3'(4'(2'(2'(1'(1'(1'(1'(3'(3'(4'(3'(1'(1'(4'(4'(2'(1'(3'(1'(0'(0'(3'(z - 38))))))))))))))))))))))))))))))))))))))) :|: z - 38 >= 0
   0'(z) -{ 2 }-> 2'(3'(3'(3'(1'(3'(2'(4'(2'(1'(1'(3'(0'(2'(1'(2'(3'(4'(2'(2'(0'(0'(4'(4'(1'(4'(3'(2'(1'(3'(1'(3'(0'(4'(1'(1'(4'(0'(2'(z - 38))))))))))))))))))))))))))))))))))))))) :|: z - 38 >= 0
   0'(z) -{ 2 }-> 2'(3'(3'(3'(1'(3'(2'(4'(2'(1'(1'(3'(0'(2'(1'(2'(3'(4'(2'(1'(4'(4'(0'(4'(0'(0'(2'(4'(0'(4'(3'(2'(1'(2'(4'(2'(4'(3'(1'(z - 38))))))))))))))))))))))))))))))))))))))) :|: z - 38 >= 0
   0'(z) -{ 2 }-> 2'(3'(3'(3'(1'(3'(2'(4'(2'(1'(1'(3'(0'(2'(1'(2'(3'(4'(2'(1'(4'(1'(3'(4'(3'(0'(1'(4'(0'(2'(1'(0'(1'(1'(0'(3'(1'(2'(2'(z - 38))))))))))))))))))))))))))))))))))))))) :|: z - 38 >= 0
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   4'(z) -{ 2 }-> 4'(1'(0'(0'(4'(3'(4'(1'(2'(4'(3'(3'(2'(1'(3'(4'(1'(0'(3'(2'(0'(0'(4'(4'(1'(4'(3'(2'(1'(3'(1'(3'(0'(4'(1'(1'(4'(0'(2'(z - 38))))))))))))))))))))))))))))))))))))))) :|: z - 38 >= 0
   4'(z) -{ 2 }-> 4'(1'(0'(0'(4'(3'(4'(1'(2'(4'(3'(3'(2'(1'(3'(4'(1'(0'(3'(1'(4'(4'(0'(4'(0'(0'(2'(4'(0'(4'(3'(2'(1'(2'(4'(2'(4'(3'(1'(z - 38))))))))))))))))))))))))))))))))))))))) :|: z - 38 >= 0
   4'(z) -{ 2 }-> 4'(1'(0'(0'(4'(3'(4'(1'(2'(4'(3'(3'(2'(1'(3'(4'(1'(0'(3'(1'(4'(1'(3'(4'(3'(0'(1'(4'(0'(2'(1'(0'(1'(1'(0'(3'(1'(2'(2'(z - 38))))))))))))))))))))))))))))))))))))))) :|: z - 38 >= 0
   4'(z) -{ 2 }-> 4'(1'(0'(0'(4'(3'(4'(1'(2'(4'(3'(3'(2'(1'(3'(4'(1'(0'(3'(1'(2'(4'(1'(0'(0'(0'(1'(4'(2'(0'(0'(4'(4'(4'(1'(4'(3'(1'(4'(z - 38))))))))))))))))))))))))))))))))))))))) :|: z - 38 >= 0
   4'(z) -{ 2 }-> 4'(1'(0'(0'(4'(3'(4'(1'(2'(4'(3'(3'(2'(1'(3'(4'(1'(0'(3'(1'(2'(2'(4'(3'(1'(4'(4'(3'(1'(1'(0'(3'(3'(0'(3'(0'(1'(0'(4'(z - 38))))))))))))))))))))))))))))))))))))))) :|: z - 38 >= 0
   4'(z) -{ 1 }-> 4'(1'(0'(0'(4'(3'(4'(1'(2'(4'(3'(3'(2'(1'(3'(4'(1'(0'(3'(0))))))))))))))))))) :|: z - 19 >= 0
   4'(z) -{ 1 }-> 4'(1'(0'(0'(4'(3'(4'(1'(2'(4'(3'(3'(2'(1'(3'(4'(1'(0'(3'(1 + (z - 19)))))))))))))))))))) :|: z - 19 >= 0
   4'(z) -{ 1 }-> 4'(0'(2'(1'(4'(0'(2'(0'(0'(4'(0'(4'(1'(0'(2'(3'(4'(4'(1'(2'(z - 19)))))))))))))))))))) :|: z - 19 >= 0
   4'(z) -{ 1 }-> 3'(4'(0'(1'(3'(0'(0'(4'(3'(1'(2'(2'(3'(1'(3'(4'(2'(2'(0'(3'(z - 19)))))))))))))))))))) :|: z - 19 >= 0
   4'(z) -{ 1 }-> 3'(2'(2'(1'(1'(0'(2'(2'(4'(0'(0'(0'(2'(1'(3'(1'(0'(4'(3'(4'(z - 19)))))))))))))))))))) :|: z - 19 >= 0
   4'(z) -{ 1 }-> 3'(2'(1'(2'(1'(3'(2'(1'(3'(2'(3'(2'(1'(1'(2'(1'(2'(3'(4'(3'(z - 19)))))))))))))))))))) :|: z - 19 >= 0
   4'(z) -{ 1 }-> 3'(2'(0'(3'(0'(0'(4'(1'(1'(4'(2'(4'(1'(4'(3'(1'(3'(1'(4'(3'(z - 19)))))))))))))))))))) :|: z - 19 >= 0
   4'(z) -{ 1 }-> 3'(2'(0'(2'(2'(1'(2'(1'(1'(2'(3'(0'(1'(3'(3'(3'(2'(4'(1'(0'(z - 19)))))))))))))))))))) :|: z - 19 >= 0
   4'(z) -{ 1 }-> 3'(1'(4'(1'(4'(4'(3'(1'(2'(3'(3'(2'(1'(3'(3'(1'(1'(3'(2'(4'(z - 19)))))))))))))))))))) :|: z - 19 >= 0
   4'(z) -{ 1 }-> 3'(1'(0'(2'(1'(3'(1'(2'(1'(0'(2'(1'(1'(3'(1'(0'(4'(0'(3'(4'(z - 19)))))))))))))))))))) :|: z - 19 >= 0
   4'(z) -{ 1 }-> 2'(4'(4'(4'(4'(2'(2'(4'(1'(0'(2'(2'(4'(0'(3'(2'(2'(2'(2'(2'(z - 19)))))))))))))))))))) :|: z - 19 >= 0
   4'(z) -{ 1 }-> 2'(4'(4'(4'(4'(2'(2'(2'(2'(4'(3'(2'(2'(3'(4'(1'(2'(0'(1'(3'(z - 19)))))))))))))))))))) :|: z - 19 >= 0
   4'(z) -{ 1 }-> 2'(3'(2'(0'(1'(4'(4'(4'(3'(2'(3'(3'(1'(4'(3'(4'(2'(0'(1'(3'(z - 19)))))))))))))))))))) :|: z - 19 >= 0
   4'(z) -{ 1 }-> 2'(1'(4'(2'(2'(2'(2'(2'(2'(2'(0'(1'(0'(3'(1'(0'(1'(1'(4'(0'(z - 19)))))))))))))))))))) :|: z - 19 >= 0
   4'(z) -{ 1 }-> 2'(1'(0'(3'(1'(3'(1'(4'(3'(3'(0'(0'(1'(4'(4'(1'(2'(2'(3'(0'(z - 19)))))))))))))))))))) :|: z - 19 >= 0
   4'(z) -{ 1 }-> 2'(0'(4'(4'(1'(0'(2'(2'(1'(1'(4'(0'(4'(0'(1'(4'(0'(4'(4'(3'(z - 19)))))))))))))))))))) :|: z - 19 >= 0
   4'(z) -{ 2 }-> 1'(3'(1'(4'(0'(2'(1'(0'(0'(1'(3'(4'(0'(3'(3'(4'(2'(1'(2'(4'(3'(1'(2'(1'(4'(4'(3'(4'(3'(2'(2'(1'(3'(2'(1'(3'(4'(1'(4'(z - 38))))))))))))))))))))))))))))))))))))))) :|: z - 38 >= 0
   4'(z) -{ 2 }-> 1'(3'(1'(4'(0'(2'(1'(0'(0'(1'(3'(4'(0'(3'(3'(4'(2'(1'(2'(4'(2'(3'(2'(1'(0'(4'(3'(3'(1'(3'(3'(1'(4'(2'(0'(0'(1'(4'(3'(z - 38))))))))))))))))))))))))))))))))))))))) :|: z - 38 >= 0
   4'(z) -{ 2 }-> 1'(3'(1'(4'(0'(2'(1'(0'(0'(1'(3'(4'(0'(3'(3'(4'(2'(1'(2'(4'(1'(2'(4'(1'(3'(3'(4'(3'(3'(3'(1'(2'(2'(4'(1'(0'(3'(3'(1'(z - 38))))))))))))))))))))))))))))))))))))))) :|: z - 38 >= 0
   4'(z) -{ 2 }-> 1'(3'(1'(4'(0'(2'(1'(0'(0'(1'(3'(4'(0'(3'(3'(4'(2'(1'(2'(3'(2'(2'(0'(3'(0'(2'(2'(1'(2'(1'(0'(3'(4'(1'(3'(1'(2'(1'(2'(z - 38))))))))))))))))))))))))))))))))))))))) :|: z - 38 >= 0
   4'(z) -{ 2 }-> 1'(3'(1'(4'(0'(2'(1'(0'(0'(1'(3'(4'(0'(3'(3'(4'(2'(1'(2'(2'(1'(4'(4'(4'(1'(4'(1'(1'(2'(4'(1'(1'(2'(2'(1'(1'(0'(0'(0'(z - 38))))))))))))))))))))))))))))))))))))))) :|: z - 38 >= 0
   4'(z) -{ 2 }-> 1'(3'(1'(4'(0'(2'(1'(0'(0'(1'(3'(4'(0'(3'(3'(4'(2'(1'(2'(2'(1'(1'(1'(1'(3'(3'(4'(3'(1'(1'(4'(4'(2'(1'(3'(1'(0'(0'(3'(z - 38))))))))))))))))))))))))))))))))))))))) :|: z - 38 >= 0
   4'(z) -{ 2 }-> 1'(3'(1'(4'(0'(2'(1'(0'(0'(1'(3'(4'(0'(3'(3'(4'(2'(1'(2'(2'(0'(0'(4'(4'(1'(4'(3'(2'(1'(3'(1'(3'(0'(4'(1'(1'(4'(0'(2'(z - 38))))))))))))))))))))))))))))))))))))))) :|: z - 38 >= 0
   4'(z) -{ 2 }-> 1'(3'(1'(4'(0'(2'(1'(0'(0'(1'(3'(4'(0'(3'(3'(4'(2'(1'(2'(1'(4'(4'(0'(4'(0'(0'(2'(4'(0'(4'(3'(2'(1'(2'(4'(2'(4'(3'(1'(z - 38))))))))))))))))))))))))))))))))))))))) :|: z - 38 >= 0
   4'(z) -{ 2 }-> 1'(3'(1'(4'(0'(2'(1'(0'(0'(1'(3'(4'(0'(3'(3'(4'(2'(1'(2'(1'(4'(1'(3'(4'(3'(0'(1'(4'(0'(2'(1'(0'(1'(1'(0'(3'(1'(2'(2'(z - 38))))))))))))))))))))))))))))))))))))))) :|: z - 38 >= 0
   4'(z) -{ 2 }-> 1'(3'(1'(4'(0'(2'(1'(0'(0'(1'(3'(4'(0'(3'(3'(4'(2'(1'(2'(1'(2'(4'(1'(0'(0'(0'(1'(4'(2'(0'(0'(4'(4'(4'(1'(4'(3'(1'(4'(z - 38))))))))))))))))))))))))))))))))))))))) :|: z - 38 >= 0
   4'(z) -{ 2 }-> 1'(3'(1'(4'(0'(2'(1'(0'(0'(1'(3'(4'(0'(3'(3'(4'(2'(1'(2'(1'(2'(2'(4'(3'(1'(4'(4'(3'(1'(1'(0'(3'(3'(0'(3'(0'(1'(0'(4'(z - 38))))))))))))))))))))))))))))))))))))))) :|: z - 38 >= 0
   4'(z) -{ 1 }-> 1'(3'(1'(4'(0'(2'(1'(0'(0'(1'(3'(4'(0'(3'(3'(4'(2'(1'(2'(0))))))))))))))))))) :|: z - 19 >= 0
   4'(z) -{ 1 }-> 1'(3'(1'(4'(0'(2'(1'(0'(0'(1'(3'(4'(0'(3'(3'(4'(2'(1'(2'(1 + (z - 19)))))))))))))))))))) :|: z - 19 >= 0
   4'(z) -{ 1 }-> 1'(3'(1'(1'(1'(1'(3'(4'(4'(1'(4'(4'(1'(4'(0'(4'(2'(4'(1'(3'(z - 19)))))))))))))))))))) :|: z - 19 >= 0
   4'(z) -{ 1 }-> 1'(2'(1'(2'(1'(1'(0'(4'(0'(1'(1'(4'(2'(1'(0'(4'(1'(0'(4'(3'(z - 19)))))))))))))))))))) :|: z - 19 >= 0
   4'(z) -{ 1 }-> 1'(2'(1'(1'(1'(2'(4'(1'(4'(3'(1'(4'(1'(4'(3'(2'(0'(4'(2'(2'(z - 19)))))))))))))))))))) :|: z - 19 >= 0
   4'(z) -{ 1 }-> 1'(1'(0'(3'(4'(0'(2'(3'(1'(4'(2'(4'(1'(0'(4'(0'(3'(1'(1'(4'(z - 19)))))))))))))))))))) :|: z - 19 >= 0
   4'(z) -{ 1 }-> 0'(3'(1'(0'(4'(1'(4'(2'(3'(1'(4'(4'(1'(2'(0'(1'(0'(0'(0'(4'(z - 19)))))))))))))))))))) :|: z - 19 >= 0
   4'(z) -{ 2 }-> 0'(0'(3'(2'(1'(2'(3'(2'(4'(3'(1'(2'(0'(2'(2'(1'(1'(0'(3'(4'(3'(1'(2'(1'(4'(4'(3'(4'(3'(2'(2'(1'(3'(2'(1'(3'(4'(1'(4'(z - 38))))))))))))))))))))))))))))))))))))))) :|: z - 38 >= 0
   4'(z) -{ 2 }-> 0'(0'(3'(2'(1'(2'(3'(2'(4'(3'(1'(2'(0'(2'(2'(1'(1'(0'(3'(4'(2'(3'(2'(1'(0'(4'(3'(3'(1'(3'(3'(1'(4'(2'(0'(0'(1'(4'(3'(z - 38))))))))))))))))))))))))))))))))))))))) :|: z - 38 >= 0
   4'(z) -{ 2 }-> 0'(0'(3'(2'(1'(2'(3'(2'(4'(3'(1'(2'(0'(2'(2'(1'(1'(0'(3'(4'(1'(2'(4'(1'(3'(3'(4'(3'(3'(3'(1'(2'(2'(4'(1'(0'(3'(3'(1'(z - 38))))))))))))))))))))))))))))))))))))))) :|: z - 38 >= 0
   4'(z) -{ 2 }-> 0'(0'(3'(2'(1'(2'(3'(2'(4'(3'(1'(2'(0'(2'(2'(1'(1'(0'(3'(3'(2'(2'(0'(3'(0'(2'(2'(1'(2'(1'(0'(3'(4'(1'(3'(1'(2'(1'(2'(z - 38))))))))))))))))))))))))))))))))))))))) :|: z - 38 >= 0
   4'(z) -{ 2 }-> 0'(0'(3'(2'(1'(2'(3'(2'(4'(3'(1'(2'(0'(2'(2'(1'(1'(0'(3'(2'(1'(4'(4'(4'(1'(4'(1'(1'(2'(4'(1'(1'(2'(2'(1'(1'(0'(0'(0'(z - 38))))))))))))))))))))))))))))))))))))))) :|: z - 38 >= 0
   4'(z) -{ 2 }-> 0'(0'(3'(2'(1'(2'(3'(2'(4'(3'(1'(2'(0'(2'(2'(1'(1'(0'(3'(2'(1'(1'(1'(1'(3'(3'(4'(3'(1'(1'(4'(4'(2'(1'(3'(1'(0'(0'(3'(z - 38))))))))))))))))))))))))))))))))))))))) :|: z - 38 >= 0
   4'(z) -{ 2 }-> 0'(0'(3'(2'(1'(2'(3'(2'(4'(3'(1'(2'(0'(2'(2'(1'(1'(0'(3'(2'(0'(0'(4'(4'(1'(4'(3'(2'(1'(3'(1'(3'(0'(4'(1'(1'(4'(0'(2'(z - 38))))))))))))))))))))))))))))))))))))))) :|: z - 38 >= 0
   4'(z) -{ 2 }-> 0'(0'(3'(2'(1'(2'(3'(2'(4'(3'(1'(2'(0'(2'(2'(1'(1'(0'(3'(1'(4'(4'(0'(4'(0'(0'(2'(4'(0'(4'(3'(2'(1'(2'(4'(2'(4'(3'(1'(z - 38))))))))))))))))))))))))))))))))))))))) :|: z - 38 >= 0
   4'(z) -{ 2 }-> 0'(0'(3'(2'(1'(2'(3'(2'(4'(3'(1'(2'(0'(2'(2'(1'(1'(0'(3'(1'(4'(1'(3'(4'(3'(0'(1'(4'(0'(2'(1'(0'(1'(1'(0'(3'(1'(2'(2'(z - 38))))))))))))))))))))))))))))))))))))))) :|: z - 38 >= 0
   4'(z) -{ 2 }-> 0'(0'(3'(2'(1'(2'(3'(2'(4'(3'(1'(2'(0'(2'(2'(1'(1'(0'(3'(1'(2'(4'(1'(0'(0'(0'(1'(4'(2'(0'(0'(4'(4'(4'(1'(4'(3'(1'(4'(z - 38))))))))))))))))))))))))))))))))))))))) :|: z - 38 >= 0
   4'(z) -{ 2 }-> 0'(0'(3'(2'(1'(2'(3'(2'(4'(3'(1'(2'(0'(2'(2'(1'(1'(0'(3'(1'(2'(2'(4'(3'(1'(4'(4'(3'(1'(1'(0'(3'(3'(0'(3'(0'(1'(0'(4'(z - 38))))))))))))))))))))))))))))))))))))))) :|: z - 38 >= 0
   4'(z) -{ 1 }-> 0'(0'(3'(2'(1'(2'(3'(2'(4'(3'(1'(2'(0'(2'(2'(1'(1'(0'(3'(0))))))))))))))))))) :|: z - 19 >= 0
   4'(z) -{ 1 }-> 0'(0'(3'(2'(1'(2'(3'(2'(4'(3'(1'(2'(0'(2'(2'(1'(1'(0'(3'(1 + (z - 19)))))))))))))))))))) :|: z - 19 >= 0
   4'(z) -{ 0 }-> 0 :|: z >= 0
   4'(z) -{ 0 }-> 1 + z :|: z >= 0
   encArg(z) -{ 0 }-> 4'(4'(encArg(z - 2))) :|: z - 2 >= 0
   encArg(z) -{ 0 }-> 4'(3'(encArg(z - 2))) :|: z - 2 >= 0
   encArg(z) -{ 0 }-> 4'(2'(encArg(z - 2))) :|: z - 2 >= 0
   encArg(z) -{ 0 }-> 4'(1'(encArg(z - 2))) :|: z - 2 >= 0
   encArg(z) -{ 0 }-> 4'(0'(encArg(z - 2))) :|: z - 2 >= 0
   encArg(z) -{ 0 }-> 4'(0) :|: z - 1 >= 0
   encArg(z) -{ 0 }-> 3'(4'(encArg(z - 2))) :|: z - 2 >= 0
   encArg(z) -{ 0 }-> 3'(3'(encArg(z - 2))) :|: z - 2 >= 0
   encArg(z) -{ 0 }-> 3'(2'(encArg(z - 2))) :|: z - 2 >= 0
   encArg(z) -{ 0 }-> 3'(1'(encArg(z - 2))) :|: z - 2 >= 0
   encArg(z) -{ 0 }-> 3'(0'(encArg(z - 2))) :|: z - 2 >= 0
   encArg(z) -{ 0 }-> 3'(0) :|: z - 1 >= 0
   encArg(z) -{ 0 }-> 2'(4'(encArg(z - 2))) :|: z - 2 >= 0
   encArg(z) -{ 0 }-> 2'(3'(encArg(z - 2))) :|: z - 2 >= 0
   encArg(z) -{ 0 }-> 2'(2'(encArg(z - 2))) :|: z - 2 >= 0
   encArg(z) -{ 0 }-> 2'(1'(encArg(z - 2))) :|: z - 2 >= 0
   encArg(z) -{ 0 }-> 2'(0'(encArg(z - 2))) :|: z - 2 >= 0
   encArg(z) -{ 0 }-> 2'(0) :|: z - 1 >= 0
   encArg(z) -{ 0 }-> 1'(4'(encArg(z - 2))) :|: z - 2 >= 0
   encArg(z) -{ 0 }-> 1'(3'(encArg(z - 2))) :|: z - 2 >= 0
   encArg(z) -{ 0 }-> 1'(2'(encArg(z - 2))) :|: z - 2 >= 0
   encArg(z) -{ 0 }-> 1'(1'(encArg(z - 2))) :|: z - 2 >= 0
   encArg(z) -{ 0 }-> 1'(0'(encArg(z - 2))) :|: z - 2 >= 0
   encArg(z) -{ 0 }-> 1'(0) :|: z - 1 >= 0
   encArg(z) -{ 0 }-> 0'(4'(encArg(z - 2))) :|: z - 2 >= 0
   encArg(z) -{ 0 }-> 0'(3'(encArg(z - 2))) :|: z - 2 >= 0
   encArg(z) -{ 0 }-> 0'(2'(encArg(z - 2))) :|: z - 2 >= 0
   encArg(z) -{ 0 }-> 0'(1'(encArg(z - 2))) :|: z - 2 >= 0
   encArg(z) -{ 0 }-> 0'(0'(encArg(z - 2))) :|: z - 2 >= 0
   encArg(z) -{ 0 }-> 0'(0) :|: z - 1 >= 0
   encArg(z) -{ 0 }-> 0 :|: z >= 0
   encode_0(z) -{ 0 }-> 0'(4'(encArg(z - 1))) :|: z - 1 >= 0
   encode_0(z) -{ 0 }-> 0'(3'(encArg(z - 1))) :|: z - 1 >= 0
   encode_0(z) -{ 0 }-> 0'(2'(encArg(z - 1))) :|: z - 1 >= 0
   encode_0(z) -{ 0 }-> 0'(1'(encArg(z - 1))) :|: z - 1 >= 0
   encode_0(z) -{ 0 }-> 0'(0'(encArg(z - 1))) :|: z - 1 >= 0
   encode_0(z) -{ 0 }-> 0'(0) :|: z >= 0
   encode_0(z) -{ 0 }-> 0 :|: z >= 0
   encode_1(z) -{ 0 }-> 1'(4'(encArg(z - 1))) :|: z - 1 >= 0
   encode_1(z) -{ 0 }-> 1'(3'(encArg(z - 1))) :|: z - 1 >= 0
   encode_1(z) -{ 0 }-> 1'(2'(encArg(z - 1))) :|: z - 1 >= 0
   encode_1(z) -{ 0 }-> 1'(1'(encArg(z - 1))) :|: z - 1 >= 0
   encode_1(z) -{ 0 }-> 1'(0'(encArg(z - 1))) :|: z - 1 >= 0
   encode_1(z) -{ 0 }-> 1'(0) :|: z >= 0
   encode_1(z) -{ 0 }-> 0 :|: z >= 0
   encode_2(z) -{ 0 }-> 2'(4'(encArg(z - 1))) :|: z - 1 >= 0
   encode_2(z) -{ 0 }-> 2'(3'(encArg(z - 1))) :|: z - 1 >= 0
   encode_2(z) -{ 0 }-> 2'(2'(encArg(z - 1))) :|: z - 1 >= 0
   encode_2(z) -{ 0 }-> 2'(1'(encArg(z - 1))) :|: z - 1 >= 0
   encode_2(z) -{ 0 }-> 2'(0'(encArg(z - 1))) :|: z - 1 >= 0
   encode_2(z) -{ 0 }-> 2'(0) :|: z >= 0
   encode_2(z) -{ 0 }-> 0 :|: z >= 0
   encode_3(z) -{ 0 }-> 3'(4'(encArg(z - 1))) :|: z - 1 >= 0
   encode_3(z) -{ 0 }-> 3'(3'(encArg(z - 1))) :|: z - 1 >= 0
   encode_3(z) -{ 0 }-> 3'(2'(encArg(z - 1))) :|: z - 1 >= 0
   encode_3(z) -{ 0 }-> 3'(1'(encArg(z - 1))) :|: z - 1 >= 0
   encode_3(z) -{ 0 }-> 3'(0'(encArg(z - 1))) :|: z - 1 >= 0
   encode_3(z) -{ 0 }-> 3'(0) :|: z >= 0
   encode_3(z) -{ 0 }-> 0 :|: z >= 0
   encode_4(z) -{ 0 }-> 4'(4'(encArg(z - 1))) :|: z - 1 >= 0
   encode_4(z) -{ 0 }-> 4'(3'(encArg(z - 1))) :|: z - 1 >= 0
   encode_4(z) -{ 0 }-> 4'(2'(encArg(z - 1))) :|: z - 1 >= 0
   encode_4(z) -{ 0 }-> 4'(1'(encArg(z - 1))) :|: z - 1 >= 0
   encode_4(z) -{ 0 }-> 4'(0'(encArg(z - 1))) :|: z - 1 >= 0
   encode_4(z) -{ 0 }-> 4'(0) :|: z >= 0
   encode_4(z) -{ 0 }-> 0 :|: z >= 0


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

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

   encArg(v0) -> null_encArg [0]
   encode_0(v0) -> null_encode_0 [0]
   encode_1(v0) -> null_encode_1 [0]
   encode_2(v0) -> null_encode_2 [0]
   encode_3(v0) -> null_encode_3 [0]
   encode_4(v0) -> null_encode_4 [0]
   0'(v0) -> null_0' [0]
   1'(v0) -> null_1' [0]
   2'(v0) -> null_2' [0]
   3'(v0) -> null_3' [0]
   4'(v0) -> null_4' [0]

And the following fresh constants:    null_encArg, null_encode_0, null_encode_1, null_encode_2, null_encode_3, null_encode_4, null_0', null_1', null_2', null_3', null_4', const

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

(34)
Obligation:
Runtime Complexity Weighted TRS where all functions are completely defined. The underlying TRS is:

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

   1'(c_0(c_0(c_4(c_0(c_0(c_1(c_2(c_3(c_0(c_1(c_4(c_1(c_3(c_0(c_2(c_1(c_4(c_0(c_0(x1)))))))))))))))))))) -> 4'(1'(2'(4'(1'(3'(3'(4'(3'(3'(3'(1'(2'(2'(4'(1'(0'(3'(3'(1'(x1)))))))))))))))))))) [1]
   1'(c_1(c_0(c_2(c_4(c_4(c_4(c_1(c_2(c_4(c_4(c_1(c_0(c_4(c_2(c_2(c_1(c_3(c_0(c_3(x1)))))))))))))))))))) -> 2'(1'(1'(1'(1'(3'(3'(4'(3'(1'(1'(4'(4'(2'(1'(3'(1'(0'(0'(3'(x1)))))))))))))))))))) [1]
   3'(c_0(c_3(c_3(c_3(c_4(c_2(c_1(c_4(c_2(c_2(c_3(c_2(c_0(c_4(c_4(c_4(c_1(c_1(c_1(x1)))))))))))))))))))) -> 1'(4'(3'(4'(2'(2'(4'(3'(2'(0'(1'(4'(1'(1'(3'(1'(2'(1'(1'(3'(x1)))))))))))))))))))) [1]
   1'(c_4(c_1(c_3(c_0(c_1(c_1(c_1(c_1(c_0(c_4(c_0(c_0(c_3(c_0(c_3(c_2(c_4(c_3(c_4(x1)))))))))))))))))))) -> 1'(4'(4'(0'(4'(0'(0'(2'(4'(0'(4'(3'(2'(1'(2'(4'(2'(4'(3'(1'(x1)))))))))))))))))))) [1]
   3'(c_1(c_0(c_0(c_1(c_0(c_4(c_4(c_1(c_0(c_1(c_2(c_4(c_0(c_2(c_1(c_3(c_0(c_2(c_0(x1)))))))))))))))))))) -> 4'(4'(3'(2'(4'(2'(1'(2'(0'(0'(1'(4'(2'(3'(0'(0'(1'(0'(1'(4'(x1)))))))))))))))))))) [1]
   0'(c_4(c_4(c_4(c_0(c_2(c_2(c_1(c_3(c_2(c_1(c_0(c_4(c_1(c_3(c_0(c_1(c_3(c_4(c_4(x1)))))))))))))))))))) -> 3'(2'(3'(0'(1'(2'(2'(3'(1'(4'(0'(4'(1'(1'(1'(4'(2'(2'(1'(1'(x1)))))))))))))))))))) [1]
   0'(c_1(c_4(c_2(c_3(c_1(c_1(c_2(c_3(c_2(c_3(c_1(c_0(c_1(c_0(c_2(c_0(c_2(c_3(c_2(x1)))))))))))))))))))) -> 3'(1'(3'(2'(0'(4'(1'(3'(2'(1'(0'(4'(0'(4'(4'(3'(2'(1'(4'(3'(x1)))))))))))))))))))) [1]
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   3'(c_4(c_0(c_3(c_1(c_3(c_3(c_3(c_0(c_1(c_3(c_2(c_2(c_3(c_4(c_2(c_2(c_4(c_4(c_2(x1)))))))))))))))))))) -> 0'(3'(2'(1'(1'(1'(3'(2'(4'(0'(3'(0'(3'(3'(0'(2'(1'(2'(1'(2'(x1)))))))))))))))))))) [1]
   0'(c_4(c_1(c_1(c_1(c_2(c_1(c_4(c_3(c_2(c_4(c_4(c_2(c_2(c_4(c_2(c_0(c_4(c_1(c_1(x1)))))))))))))))))))) -> 2'(1'(1'(4'(2'(2'(3'(1'(3'(1'(2'(2'(2'(4'(1'(3'(3'(4'(3'(0'(x1)))))))))))))))))))) [1]
   0'(c_4(c_4(c_3(c_2(c_0(c_4(c_1(c_0(c_4(c_3(c_1(c_1(c_0(c_2(c_1(c_1(c_3(c_2(c_1(x1)))))))))))))))))))) -> 2'(1'(2'(2'(1'(2'(3'(2'(1'(2'(4'(2'(4'(2'(3'(2'(3'(4'(4'(1'(x1)))))))))))))))))))) [1]
   2'(c_3(c_3(c_3(c_4(c_0(c_4(c_1(c_0(c_2(c_2(c_4(c_2(c_4(c_1(c_1(c_3(c_3(c_4(c_1(x1)))))))))))))))))))) -> 4'(2'(1'(4'(1'(0'(3'(1'(4'(4'(3'(3'(0'(1'(3'(1'(2'(4'(3'(0'(x1)))))))))))))))))))) [1]
   4'(c_0(c_2(c_1(c_3(c_3(c_4(c_4(c_0(c_0(c_0(c_3(c_2(c_3(c_4(c_4(c_4(c_3(c_2(c_3(x1)))))))))))))))))))) -> 4'(0'(2'(1'(4'(0'(2'(0'(0'(4'(0'(4'(1'(0'(2'(3'(4'(4'(1'(2'(x1)))))))))))))))))))) [1]
   3'(c_4(c_0(c_0(c_4(c_1(c_4(c_1(c_1(c_0(c_1(c_0(c_1(c_2(c_1(c_3(c_2(c_2(c_3(c_4(x1)))))))))))))))))))) -> 1'(3'(4'(2'(1'(3'(0'(1'(4'(3'(1'(3'(4'(0'(4'(1'(2'(4'(0'(2'(x1)))))))))))))))))))) [1]
   0'(c_2(c_4(c_3(c_1(c_4(c_0(c_3(c_3(c_4(c_4(c_2(c_2(c_4(c_4(c_0(c_4(c_1(c_0(c_0(x1)))))))))))))))))))) -> 4'(2'(1'(0'(1'(3'(3'(4'(0'(0'(2'(3'(3'(4'(3'(1'(4'(1'(0'(4'(x1)))))))))))))))))))) [1]
   4'(c_1(c_1(c_0(c_3(c_0(c_1(c_3(c_0(c_4(c_4(c_2(c_1(c_2(c_4(c_2(c_0(c_0(c_3(c_0(x1)))))))))))))))))))) -> 2'(3'(2'(0'(1'(4'(4'(4'(3'(2'(3'(3'(1'(4'(3'(4'(2'(0'(1'(3'(x1)))))))))))))))))))) [1]
   1'(c_0(c_1(c_1(c_3(c_3(c_0(c_2(c_0(c_2(c_2(c_1(c_0(c_4(c_1(c_0(c_4(c_3(c_1(c_4(x1)))))))))))))))))))) -> 1'(2'(4'(1'(0'(0'(0'(1'(4'(2'(0'(0'(4'(4'(4'(1'(4'(3'(1'(4'(x1)))))))))))))))))))) [1]
   3'(c_2(c_2(c_3(c_3(c_0(c_0(c_4(c_4(c_0(c_4(c_4(c_4(c_2(c_3(c_3(c_1(c_1(c_2(c_1(x1)))))))))))))))))))) -> 3'(0'(3'(4'(4'(4'(4'(1'(4'(3'(3'(0'(0'(2'(3'(2'(1'(2'(2'(1'(x1)))))))))))))))))))) [1]
   0'(c_1(c_4(c_0(c_3(c_1(c_3(c_3(c_0(c_3(c_1(c_4(c_4(c_1(c_1(c_1(c_4(c_0(c_4(c_0(x1)))))))))))))))))))) -> 3'(2'(0'(3'(2'(4'(3'(4'(4'(2'(1'(0'(1'(4'(1'(3'(1'(4'(4'(4'(x1)))))))))))))))))))) [1]
   3'(c_2(c_4(c_0(c_0(c_2(c_4(c_0(c_4(c_3(c_4(c_2(c_1(c_1(c_2(c_4(c_3(c_3(c_2(c_1(x1)))))))))))))))))))) -> 0'(3'(3'(4'(3'(1'(4'(2'(4'(3'(2'(1'(4'(1'(4'(0'(3'(1'(4'(2'(x1)))))))))))))))))))) [1]
   0'(c_2(c_3(c_4(c_2(c_2(c_4(c_4(c_1(c_0(c_3(c_2(c_2(c_4(c_2(c_2(c_3(c_1(c_1(c_4(x1)))))))))))))))))))) -> 1'(3'(1'(4'(0'(3'(1'(1'(4'(3'(3'(2'(2'(1'(2'(0'(2'(0'(3'(4'(x1)))))))))))))))))))) [1]
   4'(c_3(c_3(c_2(c_2(c_1(c_3(c_4(c_4(c_2(c_4(c_2(c_3(c_0(c_0(c_2(c_2(c_3(c_2(c_4(x1)))))))))))))))))))) -> 3'(2'(2'(1'(1'(0'(2'(2'(4'(0'(0'(0'(2'(1'(3'(1'(0'(4'(3'(4'(x1)))))))))))))))))))) [1]
   2'(c_0(c_1(c_4(c_4(c_3(c_3(c_4(c_2(c_3(c_1(c_3(c_1(c_1(c_3(c_0(c_4(c_1(c_3(c_2(x1)))))))))))))))))))) -> 2'(1'(4'(3'(1'(0'(3'(1'(4'(4'(4'(2'(2'(0'(0'(4'(2'(0'(2'(2'(x1)))))))))))))))))))) [1]
   0'(c_1(c_4(c_1(c_3(c_1(c_0(c_2(c_4(c_1(c_3(c_0(c_4(c_3(c_1(c_3(c_1(c_1(c_1(c_0(x1)))))))))))))))))))) -> 3'(2'(1'(1'(4'(1'(2'(1'(4'(0'(2'(1'(1'(4'(4'(0'(1'(2'(2'(1'(x1)))))))))))))))))))) [1]
   1'(c_2(c_0(c_3(c_1(c_0(c_2(c_0(c_4(c_1(c_4(c_4(c_2(c_4(c_0(c_4(c_3(c_4(c_4(c_3(x1)))))))))))))))))))) -> 2'(1'(4'(4'(4'(1'(4'(1'(1'(2'(4'(1'(1'(2'(2'(1'(1'(0'(0'(0'(x1)))))))))))))))))))) [1]
   2'(c_2(c_4(c_1(c_0(c_3(c_0(c_4(c_2(c_4(c_3(c_3(c_4(c_3(c_3(c_1(c_0(c_1(c_0(c_0(x1)))))))))))))))))))) -> 0'(4'(3'(4'(1'(0'(3'(4'(4'(4'(3'(0'(4'(0'(1'(2'(1'(3'(1'(4'(x1)))))))))))))))))))) [1]
   3'(c_0(c_2(c_2(c_1(c_0(c_0(c_0(c_0(c_0(c_3(c_1(c_0(c_0(c_4(c_3(c_4(c_2(c_2(c_0(x1)))))))))))))))))))) -> 3'(2'(2'(0'(0'(2'(2'(4'(0'(4'(3'(4'(3'(0'(2'(2'(3'(2'(1'(0'(x1)))))))))))))))))))) [1]
   3'(c_0(c_3(c_0(c_0(c_1(c_3(c_2(c_4(c_4(c_4(c_0(c_3(c_0(c_1(c_4(c_1(c_2(c_4(c_3(x1)))))))))))))))))))) -> 2'(2'(3'(2'(1'(0'(2'(0'(0'(2'(0'(4'(0'(4'(0'(4'(3'(2'(2'(3'(x1)))))))))))))))))))) [1]
   3'(c_4(c_4(c_0(c_0(c_0(c_0(c_3(c_2(c_2(c_2(c_1(c_4(c_4(c_4(c_1(c_2(c_4(c_0(c_3(x1)))))))))))))))))))) -> 1'(1'(4'(0'(0'(2'(0'(1'(2'(2'(2'(2'(0'(1'(3'(1'(0'(2'(0'(0'(x1)))))))))))))))))))) [1]
   0'(c_1(c_3(c_0(c_2(c_4(c_3(c_0(c_3(c_1(c_0(c_2(c_4(c_2(c_2(c_0(c_3(c_4(c_1(c_1(x1)))))))))))))))))))) -> 4'(0'(2'(4'(3'(1'(3'(1'(0'(2'(3'(3'(2'(1'(0'(4'(4'(1'(2'(1'(x1)))))))))))))))))))) [1]
   4'(c_1(c_0(c_2(c_0(c_3(c_2(c_1(c_1(c_3(c_1(c_1(c_0(c_1(c_1(c_2(c_0(c_0(c_4(c_4(x1)))))))))))))))))))) -> 2'(1'(4'(2'(2'(2'(2'(2'(2'(2'(0'(1'(0'(3'(1'(0'(1'(1'(4'(0'(x1)))))))))))))))))))) [1]
   3'(c_0(c_1(c_4(c_2(c_2(c_1(c_1(c_2(c_4(c_4(c_1(c_1(c_1(c_3(c_1(c_1(c_3(c_3(c_3(x1)))))))))))))))))))) -> 3'(3'(4'(2'(1'(1'(3'(1'(2'(1'(2'(2'(1'(3'(4'(1'(4'(2'(4'(2'(x1)))))))))))))))))))) [1]
   3'(c_1(c_4(c_4(c_1(c_4(c_3(c_4(c_0(c_3(c_0(c_2(c_0(c_3(c_2(c_1(c_2(c_3(c_2(c_4(x1)))))))))))))))))))) -> 2'(0'(3'(1'(2'(3'(1'(2'(1'(2'(1'(3'(3'(4'(2'(0'(0'(2'(2'(1'(x1)))))))))))))))))))) [1]
   2'(c_3(c_4(c_4(c_0(c_0(c_4(c_4(c_4(c_3(c_3(c_0(c_4(c_2(c_2(c_3(c_0(c_0(c_1(c_3(x1)))))))))))))))))))) -> 0'(2'(0'(4'(3'(3'(2'(1'(4'(4'(1'(2'(0'(1'(2'(4'(3'(3'(4'(1'(x1)))))))))))))))))))) [1]
   4'(c_1(c_1(c_1(c_2(c_2(c_3(c_3(c_3(c_4(c_4(c_0(c_2(c_0(c_2(c_1(c_0(c_1(c_0(c_0(x1)))))))))))))))))))) -> 1'(1'(0'(3'(4'(0'(2'(3'(1'(4'(2'(4'(1'(0'(4'(0'(3'(1'(1'(4'(x1)))))))))))))))))))) [1]
   0'(c_2(c_1(c_2(c_1(c_0(c_2(c_3(c_0(c_0(c_4(c_2(c_3(c_1(c_4(c_0(c_3(c_1(c_3(c_1(x1)))))))))))))))))))) -> 3'(1'(2'(3'(4'(3'(0'(2'(2'(2'(1'(2'(2'(3'(4'(2'(1'(4'(3'(1'(x1)))))))))))))))))))) [1]
   1'(c_4(c_2(c_3(c_1(c_4(c_2(c_2(c_0(c_4(c_2(c_3(c_0(c_1(c_3(c_2(c_1(c_3(c_3(c_4(x1)))))))))))))))))))) -> 1'(4'(1'(3'(4'(3'(0'(1'(4'(0'(2'(1'(0'(1'(1'(0'(3'(1'(2'(2'(x1)))))))))))))))))))) [1]
   4'(c_4(c_1(c_1(c_2(c_0(c_1(c_0(c_2(c_2(c_1(c_0(c_0(c_1(c_0(c_0(c_1(c_1(c_3(c_2(x1)))))))))))))))))))) -> 3'(1'(4'(1'(4'(4'(3'(1'(2'(3'(3'(2'(1'(3'(3'(1'(1'(3'(2'(4'(x1)))))))))))))))))))) [1]
   2'(c_3(c_1(c_3(c_2(c_1(c_4(c_1(c_0(c_2(c_4(c_2(c_0(c_0(c_2(c_3(c_4(c_4(c_3(c_2(x1)))))))))))))))))))) -> 4'(1'(1'(4'(3'(2'(3'(1'(4'(1'(4'(4'(1'(3'(1'(2'(3'(4'(4'(1'(x1)))))))))))))))))))) [1]
   2'(c_3(c_2(c_4(c_2(c_1(c_0(c_0(c_2(c_4(c_3(c_4(c_1(c_1(c_3(c_2(c_4(c_2(c_1(c_2(x1)))))))))))))))))))) -> 2'(3'(2'(1'(1'(0'(2'(0'(1'(1'(3'(2'(1'(4'(3'(1'(1'(0'(3'(1'(x1)))))))))))))))))))) [1]
   4'(c_4(c_3(c_4(c_4(c_2(c_4(c_1(c_1(c_0(c_2(c_3(c_1(c_0(c_3(c_1(c_2(c_2(c_4(c_0(x1)))))))))))))))))))) -> 1'(2'(1'(1'(1'(2'(4'(1'(4'(3'(1'(4'(1'(4'(3'(2'(0'(4'(2'(2'(x1)))))))))))))))))))) [1]
   2'(c_0(c_2(c_2(c_1(c_3(c_3(c_2(c_4(c_0(c_1(c_0(c_3(c_1(c_4(c_0(c_0(c_0(c_1(c_3(x1)))))))))))))))))))) -> 1'(3'(4'(2'(0'(1'(1'(3'(1'(3'(4'(4'(2'(3'(1'(0'(1'(3'(1'(3'(x1)))))))))))))))))))) [1]
   3'(c_3(c_3(c_4(c_2(c_3(c_3(c_0(c_1(c_3(c_4(c_4(c_4(c_0(c_4(c_2(c_2(c_4(c_0(c_2(x1)))))))))))))))))))) -> 3'(4'(3'(4'(1'(3'(4'(2'(2'(2'(2'(0'(4'(1'(3'(3'(1'(1'(4'(4'(x1)))))))))))))))))))) [1]
   4'(c_0(c_4(c_3(c_0(c_0(c_2(c_1(c_2(c_2(c_0(c_3(c_0(c_3(c_1(c_1(c_1(c_3(c_3(c_3(x1)))))))))))))))))))) -> 4'(1'(2'(1'(1'(2'(2'(1'(1'(2'(0'(1'(0'(2'(4'(4'(1'(1'(1'(0'(x1)))))))))))))))))))) [1]
   encArg(cons_0(x_1)) -> 0'(encArg(x_1)) [0]
   encArg(cons_1(x_1)) -> 1'(encArg(x_1)) [0]
   encArg(cons_2(x_1)) -> 2'(encArg(x_1)) [0]
   encArg(cons_3(x_1)) -> 3'(encArg(x_1)) [0]
   encArg(cons_4(x_1)) -> 4'(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]
   encode_3(x_1) -> 3'(encArg(x_1)) [0]
   encode_4(x_1) -> 4'(encArg(x_1)) [0]
   0'(x0) -> c_0(x0) [0]
   1'(x0) -> c_1(x0) [0]
   2'(x0) -> c_2(x0) [0]
   3'(x0) -> c_3(x0) [0]
   4'(x0) -> c_4(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]
   encode_3(v0) -> null_encode_3 [0]
   encode_4(v0) -> null_encode_4 [0]
   0'(v0) -> null_0' [0]
   1'(v0) -> null_1' [0]
   2'(v0) -> null_2' [0]
   3'(v0) -> null_3' [0]
   4'(v0) -> null_4' [0]

The TRS has the following type information:
1' :: c_0:c_4:c_1:c_2:c_3:null_encArg:null_encode_0:null_encode_1:null_encode_2:null_encode_3:null_encode_4:null_0':null_1':null_2':null_3':null_4' -> c_0:c_4:c_1:c_2:c_3:null_encArg:null_encode_0:null_encode_1:null_encode_2:null_encode_3:null_encode_4:null_0':null_1':null_2':null_3':null_4'
c_0 :: c_0:c_4:c_1:c_2:c_3:null_encArg:null_encode_0:null_encode_1:null_encode_2:null_encode_3:null_encode_4:null_0':null_1':null_2':null_3':null_4' -> c_0:c_4:c_1:c_2:c_3:null_encArg:null_encode_0:null_encode_1:null_encode_2:null_encode_3:null_encode_4:null_0':null_1':null_2':null_3':null_4'
c_4 :: c_0:c_4:c_1:c_2:c_3:null_encArg:null_encode_0:null_encode_1:null_encode_2:null_encode_3:null_encode_4:null_0':null_1':null_2':null_3':null_4' -> c_0:c_4:c_1:c_2:c_3:null_encArg:null_encode_0:null_encode_1:null_encode_2:null_encode_3:null_encode_4:null_0':null_1':null_2':null_3':null_4'
c_1 :: c_0:c_4:c_1:c_2:c_3:null_encArg:null_encode_0:null_encode_1:null_encode_2:null_encode_3:null_encode_4:null_0':null_1':null_2':null_3':null_4' -> c_0:c_4:c_1:c_2:c_3:null_encArg:null_encode_0:null_encode_1:null_encode_2:null_encode_3:null_encode_4:null_0':null_1':null_2':null_3':null_4'
c_2 :: c_0:c_4:c_1:c_2:c_3:null_encArg:null_encode_0:null_encode_1:null_encode_2:null_encode_3:null_encode_4:null_0':null_1':null_2':null_3':null_4' -> c_0:c_4:c_1:c_2:c_3:null_encArg:null_encode_0:null_encode_1:null_encode_2:null_encode_3:null_encode_4:null_0':null_1':null_2':null_3':null_4'
c_3 :: c_0:c_4:c_1:c_2:c_3:null_encArg:null_encode_0:null_encode_1:null_encode_2:null_encode_3:null_encode_4:null_0':null_1':null_2':null_3':null_4' -> c_0:c_4:c_1:c_2:c_3:null_encArg:null_encode_0:null_encode_1:null_encode_2:null_encode_3:null_encode_4:null_0':null_1':null_2':null_3':null_4'
4' :: c_0:c_4:c_1:c_2:c_3:null_encArg:null_encode_0:null_encode_1:null_encode_2:null_encode_3:null_encode_4:null_0':null_1':null_2':null_3':null_4' -> c_0:c_4:c_1:c_2:c_3:null_encArg:null_encode_0:null_encode_1:null_encode_2:null_encode_3:null_encode_4:null_0':null_1':null_2':null_3':null_4'
2' :: c_0:c_4:c_1:c_2:c_3:null_encArg:null_encode_0:null_encode_1:null_encode_2:null_encode_3:null_encode_4:null_0':null_1':null_2':null_3':null_4' -> c_0:c_4:c_1:c_2:c_3:null_encArg:null_encode_0:null_encode_1:null_encode_2:null_encode_3:null_encode_4:null_0':null_1':null_2':null_3':null_4'
3' :: c_0:c_4:c_1:c_2:c_3:null_encArg:null_encode_0:null_encode_1:null_encode_2:null_encode_3:null_encode_4:null_0':null_1':null_2':null_3':null_4' -> c_0:c_4:c_1:c_2:c_3:null_encArg:null_encode_0:null_encode_1:null_encode_2:null_encode_3:null_encode_4:null_0':null_1':null_2':null_3':null_4'
0' :: c_0:c_4:c_1:c_2:c_3:null_encArg:null_encode_0:null_encode_1:null_encode_2:null_encode_3:null_encode_4:null_0':null_1':null_2':null_3':null_4' -> c_0:c_4:c_1:c_2:c_3:null_encArg:null_encode_0:null_encode_1:null_encode_2:null_encode_3:null_encode_4:null_0':null_1':null_2':null_3':null_4'
encArg :: cons_0:cons_1:cons_2:cons_3:cons_4 -> c_0:c_4:c_1:c_2:c_3:null_encArg:null_encode_0:null_encode_1:null_encode_2:null_encode_3:null_encode_4:null_0':null_1':null_2':null_3':null_4'
cons_0 :: cons_0:cons_1:cons_2:cons_3:cons_4 -> cons_0:cons_1:cons_2:cons_3:cons_4
cons_1 :: cons_0:cons_1:cons_2:cons_3:cons_4 -> cons_0:cons_1:cons_2:cons_3:cons_4
cons_2 :: cons_0:cons_1:cons_2:cons_3:cons_4 -> cons_0:cons_1:cons_2:cons_3:cons_4
cons_3 :: cons_0:cons_1:cons_2:cons_3:cons_4 -> cons_0:cons_1:cons_2:cons_3:cons_4
cons_4 :: cons_0:cons_1:cons_2:cons_3:cons_4 -> cons_0:cons_1:cons_2:cons_3:cons_4
encode_0 :: cons_0:cons_1:cons_2:cons_3:cons_4 -> c_0:c_4:c_1:c_2:c_3:null_encArg:null_encode_0:null_encode_1:null_encode_2:null_encode_3:null_encode_4:null_0':null_1':null_2':null_3':null_4'
encode_1 :: cons_0:cons_1:cons_2:cons_3:cons_4 -> c_0:c_4:c_1:c_2:c_3:null_encArg:null_encode_0:null_encode_1:null_encode_2:null_encode_3:null_encode_4:null_0':null_1':null_2':null_3':null_4'
encode_2 :: cons_0:cons_1:cons_2:cons_3:cons_4 -> c_0:c_4:c_1:c_2:c_3:null_encArg:null_encode_0:null_encode_1:null_encode_2:null_encode_3:null_encode_4:null_0':null_1':null_2':null_3':null_4'
encode_3 :: cons_0:cons_1:cons_2:cons_3:cons_4 -> c_0:c_4:c_1:c_2:c_3:null_encArg:null_encode_0:null_encode_1:null_encode_2:null_encode_3:null_encode_4:null_0':null_1':null_2':null_3':null_4'
encode_4 :: cons_0:cons_1:cons_2:cons_3:cons_4 -> c_0:c_4:c_1:c_2:c_3:null_encArg:null_encode_0:null_encode_1:null_encode_2:null_encode_3:null_encode_4:null_0':null_1':null_2':null_3':null_4'
null_encArg :: c_0:c_4:c_1:c_2:c_3:null_encArg:null_encode_0:null_encode_1:null_encode_2:null_encode_3:null_encode_4:null_0':null_1':null_2':null_3':null_4'
null_encode_0 :: c_0:c_4:c_1:c_2:c_3:null_encArg:null_encode_0:null_encode_1:null_encode_2:null_encode_3:null_encode_4:null_0':null_1':null_2':null_3':null_4'
null_encode_1 :: c_0:c_4:c_1:c_2:c_3:null_encArg:null_encode_0:null_encode_1:null_encode_2:null_encode_3:null_encode_4:null_0':null_1':null_2':null_3':null_4'
null_encode_2 :: c_0:c_4:c_1:c_2:c_3:null_encArg:null_encode_0:null_encode_1:null_encode_2:null_encode_3:null_encode_4:null_0':null_1':null_2':null_3':null_4'
null_encode_3 :: c_0:c_4:c_1:c_2:c_3:null_encArg:null_encode_0:null_encode_1:null_encode_2:null_encode_3:null_encode_4:null_0':null_1':null_2':null_3':null_4'
null_encode_4 :: c_0:c_4:c_1:c_2:c_3:null_encArg:null_encode_0:null_encode_1:null_encode_2:null_encode_3:null_encode_4:null_0':null_1':null_2':null_3':null_4'
null_0' :: c_0:c_4:c_1:c_2:c_3:null_encArg:null_encode_0:null_encode_1:null_encode_2:null_encode_3:null_encode_4:null_0':null_1':null_2':null_3':null_4'
null_1' :: c_0:c_4:c_1:c_2:c_3:null_encArg:null_encode_0:null_encode_1:null_encode_2:null_encode_3:null_encode_4:null_0':null_1':null_2':null_3':null_4'
null_2' :: c_0:c_4:c_1:c_2:c_3:null_encArg:null_encode_0:null_encode_1:null_encode_2:null_encode_3:null_encode_4:null_0':null_1':null_2':null_3':null_4'
null_3' :: c_0:c_4:c_1:c_2:c_3:null_encArg:null_encode_0:null_encode_1:null_encode_2:null_encode_3:null_encode_4:null_0':null_1':null_2':null_3':null_4'
null_4' :: c_0:c_4:c_1:c_2:c_3:null_encArg:null_encode_0:null_encode_1:null_encode_2:null_encode_3:null_encode_4:null_0':null_1':null_2':null_3':null_4'
const :: cons_0:cons_1:cons_2:cons_3:cons_4

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

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

   null_encArg => 0
   null_encode_0 => 0
   null_encode_1 => 0
   null_encode_2 => 0
   null_encode_3 => 0
   null_encode_4 => 0
   null_0' => 0
   null_1' => 0
   null_2' => 0
   null_3' => 0
   null_4' => 0
   const => 0

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

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

   0'(z) -{ 1 }-> 4'(4'(3'(3'(1'(4'(0'(3'(2'(3'(3'(1'(4'(0'(1'(2'(1'(4'(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 }-> 4'(2'(1'(0'(1'(3'(3'(4'(0'(0'(2'(3'(3'(4'(3'(1'(4'(1'(0'(4'(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 }-> 4'(0'(2'(4'(3'(1'(3'(1'(0'(2'(3'(3'(2'(1'(0'(4'(4'(1'(2'(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 }-> 4'(0'(0'(0'(4'(4'(2'(1'(3'(1'(0'(1'(2'(2'(2'(4'(4'(4'(2'(3'(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 }-> 3'(2'(3'(0'(1'(2'(2'(3'(1'(4'(0'(4'(1'(1'(1'(4'(2'(2'(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 }-> 3'(2'(1'(1'(4'(1'(2'(1'(4'(0'(2'(1'(1'(4'(4'(0'(1'(2'(2'(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 }-> 3'(2'(0'(3'(2'(4'(3'(4'(4'(2'(1'(0'(1'(4'(1'(3'(1'(4'(4'(4'(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 }-> 3'(1'(3'(2'(0'(4'(1'(3'(2'(1'(0'(4'(0'(4'(4'(3'(2'(1'(4'(3'(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 }-> 3'(1'(2'(3'(4'(3'(0'(2'(2'(2'(1'(2'(2'(3'(4'(2'(1'(4'(3'(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 }-> 2'(3'(3'(3'(1'(3'(2'(4'(2'(1'(1'(3'(0'(2'(1'(2'(3'(4'(2'(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 }-> 2'(2'(1'(0'(2'(2'(3'(4'(2'(1'(2'(0'(3'(0'(3'(3'(1'(1'(4'(2'(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 }-> 2'(1'(2'(2'(1'(2'(3'(2'(1'(2'(4'(2'(4'(2'(3'(2'(3'(4'(4'(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 }-> 2'(1'(1'(4'(2'(2'(3'(1'(3'(1'(2'(2'(2'(4'(1'(3'(3'(4'(3'(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 }-> 1'(4'(0'(1'(2'(2'(2'(3'(4'(4'(2'(4'(2'(2'(1'(3'(1'(4'(2'(4'(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 }-> 1'(3'(1'(4'(0'(3'(1'(1'(4'(3'(3'(2'(2'(1'(2'(0'(2'(0'(3'(4'(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 }-> 1'(2'(2'(0'(4'(4'(0'(3'(1'(4'(1'(3'(4'(3'(3'(4'(4'(4'(2'(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 }-> 1'(0'(1'(4'(2'(1'(0'(2'(4'(4'(4'(0'(1'(1'(3'(1'(3'(4'(3'(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'(3'(3'(4'(2'(1'(0'(1'(3'(3'(0'(3'(2'(4'(1'(3'(2'(3'(1'(4'(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'(3'(2'(3'(3'(2'(1'(4'(2'(2'(2'(1'(0'(0'(2'(0'(1'(2'(2'(4'(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'(3'(3'(1'(1'(1'(4'(4'(1'(4'(3'(3'(0'(3'(3'(2'(4'(3'(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 }-> 4'(3'(1'(2'(1'(4'(4'(3'(4'(3'(2'(2'(1'(3'(2'(1'(3'(4'(1'(4'(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) -{ 1 }-> 4'(2'(3'(2'(1'(0'(4'(3'(3'(1'(3'(3'(1'(4'(2'(0'(0'(1'(4'(3'(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) -{ 1 }-> 4'(1'(2'(4'(1'(3'(3'(4'(3'(3'(3'(1'(2'(2'(4'(1'(0'(3'(3'(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) -{ 1 }-> 3'(2'(2'(0'(3'(0'(2'(2'(1'(2'(1'(0'(3'(4'(1'(3'(1'(2'(1'(2'(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) -{ 1 }-> 2'(1'(4'(4'(4'(1'(4'(1'(1'(2'(4'(1'(1'(2'(2'(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))))))))))))))))))
   1'(z) -{ 1 }-> 2'(1'(1'(1'(1'(3'(3'(4'(3'(1'(1'(4'(4'(2'(1'(3'(1'(0'(0'(3'(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) -{ 1 }-> 2'(0'(0'(4'(4'(1'(4'(3'(2'(1'(3'(1'(3'(0'(4'(1'(1'(4'(0'(2'(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) -{ 1 }-> 1'(4'(4'(0'(4'(0'(0'(2'(4'(0'(4'(3'(2'(1'(2'(4'(2'(4'(3'(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) -{ 1 }-> 1'(4'(1'(3'(4'(3'(0'(1'(4'(0'(2'(1'(0'(1'(1'(0'(3'(1'(2'(2'(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) -{ 1 }-> 1'(2'(4'(1'(0'(0'(0'(1'(4'(2'(0'(0'(4'(4'(4'(1'(4'(3'(1'(4'(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) -{ 1 }-> 1'(2'(2'(4'(3'(1'(4'(4'(3'(1'(1'(0'(3'(3'(0'(3'(0'(1'(0'(4'(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
   2'(z) -{ 1 }-> 4'(2'(3'(4'(0'(4'(2'(1'(0'(3'(1'(1'(1'(3'(0'(0'(3'(1'(2'(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))))))))))))))))))
   2'(z) -{ 1 }-> 4'(2'(1'(4'(1'(0'(3'(1'(4'(4'(3'(3'(0'(1'(3'(1'(2'(4'(3'(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))))))))))))))))))
   2'(z) -{ 1 }-> 4'(1'(4'(3'(4'(2'(2'(1'(2'(1'(4'(4'(3'(1'(0'(4'(3'(4'(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))))))))))))))))))
   2'(z) -{ 1 }-> 4'(1'(2'(4'(2'(1'(4'(2'(2'(0'(3'(0'(1'(4'(1'(2'(4'(3'(4'(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))))))))))))))))))
   2'(z) -{ 1 }-> 4'(1'(1'(4'(3'(2'(3'(1'(4'(1'(4'(4'(1'(3'(1'(2'(3'(4'(4'(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))))))))))))))))))
   2'(z) -{ 1 }-> 4'(0'(3'(4'(3'(3'(1'(2'(1'(4'(1'(4'(4'(3'(0'(3'(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))))))))))))))))))
   2'(z) -{ 1 }-> 3'(1'(3'(1'(2'(2'(0'(4'(1'(3'(1'(1'(4'(2'(3'(4'(4'(4'(4'(4'(x1)))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   2'(z) -{ 1 }-> 2'(4'(1'(0'(1'(4'(3'(1'(2'(2'(2'(1'(1'(1'(3'(4'(4'(0'(1'(2'(x1)))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   2'(z) -{ 1 }-> 2'(3'(2'(1'(1'(0'(2'(0'(1'(1'(3'(2'(1'(4'(3'(1'(1'(0'(3'(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))))))))))))))))))
   2'(z) -{ 1 }-> 2'(2'(1'(0'(4'(2'(0'(1'(3'(0'(4'(1'(2'(4'(4'(3'(2'(2'(1'(2'(x1)))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   2'(z) -{ 1 }-> 2'(1'(4'(3'(1'(0'(3'(1'(4'(4'(4'(2'(2'(0'(0'(4'(2'(0'(2'(2'(x1)))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   2'(z) -{ 1 }-> 2'(1'(2'(0'(4'(4'(1'(0'(2'(4'(1'(3'(2'(1'(3'(1'(0'(2'(3'(3'(x1)))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   2'(z) -{ 1 }-> 2'(1'(1'(1'(4'(4'(1'(1'(4'(0'(2'(3'(2'(4'(1'(0'(2'(4'(2'(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))))))))))))))))))
   2'(z) -{ 1 }-> 1'(3'(4'(2'(0'(1'(1'(3'(1'(3'(4'(4'(2'(3'(1'(0'(1'(3'(1'(3'(x1)))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   2'(z) -{ 1 }-> 1'(3'(0'(4'(4'(1'(3'(2'(1'(0'(2'(4'(1'(0'(2'(2'(0'(4'(4'(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))))))))))))))))))
   2'(z) -{ 1 }-> 1'(0'(2'(2'(2'(3'(3'(1'(0'(4'(3'(1'(4'(2'(2'(1'(1'(0'(3'(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))))))))))))))))))
   2'(z) -{ 1 }-> 1'(0'(0'(4'(3'(3'(0'(3'(2'(2'(4'(3'(2'(2'(1'(1'(3'(1'(4'(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))))))))))))))))))
   2'(z) -{ 1 }-> 0'(4'(3'(4'(1'(0'(3'(4'(4'(4'(3'(0'(4'(0'(1'(2'(1'(3'(1'(4'(x1)))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   2'(z) -{ 1 }-> 0'(4'(0'(1'(2'(2'(1'(4'(2'(1'(4'(3'(0'(4'(3'(4'(1'(1'(3'(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))))))))))))))))))
   2'(z) -{ 1 }-> 0'(2'(0'(4'(3'(3'(2'(1'(4'(4'(1'(2'(0'(1'(2'(4'(3'(3'(4'(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))))))))))))))))))
   2'(z) -{ 0 }-> 0 :|: v0 >= 0, z = v0
   2'(z) -{ 0 }-> 1 + x0 :|: z = x0, x0 >= 0
   3'(z) -{ 1 }-> 4'(4'(3'(2'(4'(2'(1'(2'(0'(0'(1'(4'(2'(3'(0'(0'(1'(0'(1'(4'(x1)))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   3'(z) -{ 1 }-> 4'(2'(4'(2'(0'(1'(2'(3'(4'(1'(0'(3'(1'(2'(2'(0'(4'(4'(2'(4'(x1)))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   3'(z) -{ 1 }-> 4'(2'(1'(4'(1'(2'(2'(2'(2'(2'(3'(1'(0'(1'(2'(4'(3'(1'(2'(4'(x1)))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   3'(z) -{ 1 }-> 4'(1'(4'(0'(1'(4'(1'(2'(2'(4'(2'(2'(1'(2'(2'(1'(1'(1'(3'(2'(x1)))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   3'(z) -{ 1 }-> 4'(0'(1'(3'(1'(2'(1'(0'(1'(1'(2'(3'(0'(4'(3'(3'(1'(3'(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))))))))))))))))))
   3'(z) -{ 1 }-> 3'(4'(3'(4'(1'(3'(4'(2'(2'(2'(2'(0'(4'(1'(3'(3'(1'(1'(4'(4'(x1)))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   3'(z) -{ 1 }-> 3'(4'(1'(3'(2'(3'(3'(4'(4'(1'(1'(3'(1'(3'(3'(1'(1'(4'(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))))))))))))))))))
   3'(z) -{ 1 }-> 3'(3'(4'(2'(1'(1'(3'(1'(2'(1'(2'(2'(1'(3'(4'(1'(4'(2'(4'(2'(x1)))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   3'(z) -{ 1 }-> 3'(2'(3'(4'(1'(1'(4'(3'(4'(4'(1'(1'(2'(2'(4'(4'(0'(0'(4'(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))))))))))))))))))
   3'(z) -{ 1 }-> 3'(2'(2'(0'(0'(2'(2'(4'(0'(4'(3'(4'(3'(0'(2'(2'(3'(2'(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))))))))))))))))))
   3'(z) -{ 1 }-> 3'(0'(3'(4'(4'(4'(4'(1'(4'(3'(3'(0'(0'(2'(3'(2'(1'(2'(2'(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))))))))))))))))))
   3'(z) -{ 1 }-> 2'(2'(3'(2'(1'(0'(2'(0'(0'(2'(0'(4'(0'(4'(0'(4'(3'(2'(2'(3'(x1)))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   3'(z) -{ 1 }-> 2'(2'(2'(0'(3'(1'(1'(1'(4'(1'(0'(3'(1'(2'(1'(4'(1'(3'(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))))))))))))))))))
   3'(z) -{ 1 }-> 2'(1'(4'(1'(1'(1'(4'(2'(4'(2'(4'(1'(3'(4'(2'(3'(3'(2'(2'(4'(x1)))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   3'(z) -{ 1 }-> 2'(0'(3'(1'(2'(3'(1'(2'(1'(2'(1'(3'(3'(4'(2'(0'(0'(2'(2'(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))))))))))))))))))
   3'(z) -{ 1 }-> 2'(0'(1'(2'(4'(3'(2'(1'(4'(2'(4'(0'(3'(2'(4'(2'(3'(1'(4'(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))))))))))))))))))
   3'(z) -{ 1 }-> 1'(4'(3'(4'(2'(2'(4'(3'(2'(0'(1'(4'(1'(1'(3'(1'(2'(1'(1'(3'(x1)))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   3'(z) -{ 1 }-> 1'(4'(1'(3'(3'(2'(1'(2'(3'(4'(2'(4'(1'(3'(0'(4'(2'(1'(3'(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))))))))))))))))))
   3'(z) -{ 1 }-> 1'(3'(4'(2'(1'(3'(0'(1'(4'(3'(1'(3'(4'(0'(4'(1'(2'(4'(0'(2'(x1)))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   3'(z) -{ 1 }-> 1'(3'(1'(4'(1'(1'(1'(4'(0'(0'(2'(1'(0'(4'(1'(2'(2'(3'(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))))))))))))))))))
   3'(z) -{ 1 }-> 1'(2'(2'(2'(1'(1'(4'(3'(0'(3'(2'(2'(4'(2'(1'(4'(4'(3'(1'(4'(x1)))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   3'(z) -{ 1 }-> 1'(1'(4'(0'(0'(2'(0'(1'(2'(2'(2'(2'(0'(1'(3'(1'(0'(2'(0'(0'(x1)))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   3'(z) -{ 1 }-> 0'(3'(3'(4'(3'(1'(4'(2'(4'(3'(2'(1'(4'(1'(4'(0'(3'(1'(4'(2'(x1)))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   3'(z) -{ 1 }-> 0'(3'(2'(1'(1'(1'(3'(2'(4'(0'(3'(0'(3'(3'(0'(2'(1'(2'(1'(2'(x1)))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   3'(z) -{ 0 }-> 0 :|: v0 >= 0, z = v0
   3'(z) -{ 0 }-> 1 + x0 :|: z = x0, x0 >= 0
   4'(z) -{ 1 }-> 4'(2'(4'(1'(4'(2'(2'(0'(1'(0'(3'(1'(3'(0'(1'(3'(3'(2'(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))))))))))))))))))
   4'(z) -{ 1 }-> 4'(1'(2'(1'(1'(2'(2'(1'(1'(2'(0'(1'(0'(2'(4'(4'(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))))))))))))))))))
   4'(z) -{ 1 }-> 4'(1'(0'(0'(4'(3'(4'(1'(2'(4'(3'(3'(2'(1'(3'(4'(1'(0'(3'(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))))))))))))))))))
   4'(z) -{ 1 }-> 4'(0'(2'(1'(4'(0'(2'(0'(0'(4'(0'(4'(1'(0'(2'(3'(4'(4'(1'(2'(x1)))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   4'(z) -{ 1 }-> 3'(4'(0'(1'(3'(0'(0'(4'(3'(1'(2'(2'(3'(1'(3'(4'(2'(2'(0'(3'(x1)))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   4'(z) -{ 1 }-> 3'(2'(2'(1'(1'(0'(2'(2'(4'(0'(0'(0'(2'(1'(3'(1'(0'(4'(3'(4'(x1)))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   4'(z) -{ 1 }-> 3'(2'(1'(2'(1'(3'(2'(1'(3'(2'(3'(2'(1'(1'(2'(1'(2'(3'(4'(3'(x1)))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   4'(z) -{ 1 }-> 3'(2'(0'(3'(0'(0'(4'(1'(1'(4'(2'(4'(1'(4'(3'(1'(3'(1'(4'(3'(x1)))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   4'(z) -{ 1 }-> 3'(2'(0'(2'(2'(1'(2'(1'(1'(2'(3'(0'(1'(3'(3'(3'(2'(4'(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))))))))))))))))))
   4'(z) -{ 1 }-> 3'(1'(4'(1'(4'(4'(3'(1'(2'(3'(3'(2'(1'(3'(3'(1'(1'(3'(2'(4'(x1)))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   4'(z) -{ 1 }-> 3'(1'(0'(2'(1'(3'(1'(2'(1'(0'(2'(1'(1'(3'(1'(0'(4'(0'(3'(4'(x1)))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   4'(z) -{ 1 }-> 2'(4'(4'(4'(4'(2'(2'(4'(1'(0'(2'(2'(4'(0'(3'(2'(2'(2'(2'(2'(x1)))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   4'(z) -{ 1 }-> 2'(4'(4'(4'(4'(2'(2'(2'(2'(4'(3'(2'(2'(3'(4'(1'(2'(0'(1'(3'(x1)))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   4'(z) -{ 1 }-> 2'(3'(2'(0'(1'(4'(4'(4'(3'(2'(3'(3'(1'(4'(3'(4'(2'(0'(1'(3'(x1)))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   4'(z) -{ 1 }-> 2'(1'(4'(2'(2'(2'(2'(2'(2'(2'(0'(1'(0'(3'(1'(0'(1'(1'(4'(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))))))))))))))))))
   4'(z) -{ 1 }-> 2'(1'(0'(3'(1'(3'(1'(4'(3'(3'(0'(0'(1'(4'(4'(1'(2'(2'(3'(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))))))))))))))))))
   4'(z) -{ 1 }-> 2'(0'(4'(4'(1'(0'(2'(2'(1'(1'(4'(0'(4'(0'(1'(4'(0'(4'(4'(3'(x1)))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   4'(z) -{ 1 }-> 1'(3'(1'(4'(0'(2'(1'(0'(0'(1'(3'(4'(0'(3'(3'(4'(2'(1'(2'(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))))))))))))))))))
   4'(z) -{ 1 }-> 1'(3'(1'(1'(1'(1'(3'(4'(4'(1'(4'(4'(1'(4'(0'(4'(2'(4'(1'(3'(x1)))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   4'(z) -{ 1 }-> 1'(2'(1'(2'(1'(1'(0'(4'(0'(1'(1'(4'(2'(1'(0'(4'(1'(0'(4'(3'(x1)))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   4'(z) -{ 1 }-> 1'(2'(1'(1'(1'(2'(4'(1'(4'(3'(1'(4'(1'(4'(3'(2'(0'(4'(2'(2'(x1)))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   4'(z) -{ 1 }-> 1'(1'(0'(3'(4'(0'(2'(3'(1'(4'(2'(4'(1'(0'(4'(0'(3'(1'(1'(4'(x1)))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   4'(z) -{ 1 }-> 0'(3'(1'(0'(4'(1'(4'(2'(3'(1'(4'(4'(1'(2'(0'(1'(0'(0'(0'(4'(x1)))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   4'(z) -{ 1 }-> 0'(0'(3'(2'(1'(2'(3'(2'(4'(3'(1'(2'(0'(2'(2'(1'(1'(0'(3'(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))))))))))))))))))
   4'(z) -{ 0 }-> 0 :|: v0 >= 0, z = v0
   4'(z) -{ 0 }-> 1 + x0 :|: z = x0, x0 >= 0
   encArg(z) -{ 0 }-> 4'(encArg(x_1)) :|: z = 1 + x_1, x_1 >= 0
   encArg(z) -{ 0 }-> 3'(encArg(x_1)) :|: z = 1 + x_1, x_1 >= 0
   encArg(z) -{ 0 }-> 2'(encArg(x_1)) :|: z = 1 + x_1, x_1 >= 0
   encArg(z) -{ 0 }-> 1'(encArg(x_1)) :|: z = 1 + x_1, x_1 >= 0
   encArg(z) -{ 0 }-> 0'(encArg(x_1)) :|: z = 1 + x_1, x_1 >= 0
   encArg(z) -{ 0 }-> 0 :|: v0 >= 0, z = v0
   encode_0(z) -{ 0 }-> 0'(encArg(x_1)) :|: x_1 >= 0, z = x_1
   encode_0(z) -{ 0 }-> 0 :|: v0 >= 0, z = v0
   encode_1(z) -{ 0 }-> 1'(encArg(x_1)) :|: x_1 >= 0, z = x_1
   encode_1(z) -{ 0 }-> 0 :|: v0 >= 0, z = v0
   encode_2(z) -{ 0 }-> 2'(encArg(x_1)) :|: x_1 >= 0, z = x_1
   encode_2(z) -{ 0 }-> 0 :|: v0 >= 0, z = v0
   encode_3(z) -{ 0 }-> 3'(encArg(x_1)) :|: x_1 >= 0, z = x_1
   encode_3(z) -{ 0 }-> 0 :|: v0 >= 0, z = v0
   encode_4(z) -{ 0 }-> 4'(encArg(x_1)) :|: x_1 >= 0, z = x_1
   encode_4(z) -{ 0 }-> 0 :|: v0 >= 0, z = v0

Only complete derivations are relevant for the runtime complexity.

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

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

(38)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(cons_0(z0)) -> 0(encArg(z0))
   encArg(cons_1(z0)) -> 1(encArg(z0))
   encArg(cons_2(z0)) -> 2(encArg(z0))
   encArg(cons_3(z0)) -> 3(encArg(z0))
   encArg(cons_4(z0)) -> 4(encArg(z0))
   encode_0(z0) -> 0(encArg(z0))
   encode_1(z0) -> 1(encArg(z0))
   encode_2(z0) -> 2(encArg(z0))
   encode_3(z0) -> 3(encArg(z0))
   encode_4(z0) -> 4(encArg(z0))
   0(z0) -> c_0(z0)
   0(c_4(c_4(c_4(c_0(c_2(c_2(c_1(c_3(c_2(c_1(c_0(c_4(c_1(c_3(c_0(c_1(c_3(c_4(c_4(z0)))))))))))))))))))) -> 3(2(3(0(1(2(2(3(1(4(0(4(1(1(1(4(2(2(1(1(z0))))))))))))))))))))
   0(c_1(c_4(c_2(c_3(c_1(c_1(c_2(c_3(c_2(c_3(c_1(c_0(c_1(c_0(c_2(c_0(c_2(c_3(c_2(z0)))))))))))))))))))) -> 3(1(3(2(0(4(1(3(2(1(0(4(0(4(4(3(2(1(4(3(z0))))))))))))))))))))
   0(c_3(c_0(c_0(c_1(c_1(c_4(c_3(c_4(c_3(c_0(c_4(c_2(c_1(c_4(c_3(c_4(c_2(c_1(c_2(z0)))))))))))))))))))) -> 1(4(0(1(2(2(2(3(4(4(2(4(2(2(1(3(1(4(2(4(z0))))))))))))))))))))
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   0(c_4(c_4(c_3(c_2(c_0(c_4(c_1(c_0(c_4(c_3(c_1(c_1(c_0(c_2(c_1(c_1(c_3(c_2(c_1(z0)))))))))))))))))))) -> 2(1(2(2(1(2(3(2(1(2(4(2(4(2(3(2(3(4(4(1(z0))))))))))))))))))))
   0(c_2(c_4(c_3(c_1(c_4(c_0(c_3(c_3(c_4(c_4(c_2(c_2(c_4(c_4(c_0(c_4(c_1(c_0(c_0(z0)))))))))))))))))))) -> 4(2(1(0(1(3(3(4(0(0(2(3(3(4(3(1(4(1(0(4(z0))))))))))))))))))))
   0(c_1(c_4(c_0(c_3(c_1(c_3(c_3(c_0(c_3(c_1(c_4(c_4(c_1(c_1(c_1(c_4(c_0(c_4(c_0(z0)))))))))))))))))))) -> 3(2(0(3(2(4(3(4(4(2(1(0(1(4(1(3(1(4(4(4(z0))))))))))))))))))))
   0(c_2(c_3(c_4(c_2(c_2(c_4(c_4(c_1(c_0(c_3(c_2(c_2(c_4(c_2(c_2(c_3(c_1(c_1(c_4(z0)))))))))))))))))))) -> 1(3(1(4(0(3(1(1(4(3(3(2(2(1(2(0(2(0(3(4(z0))))))))))))))))))))
   0(c_1(c_4(c_1(c_3(c_1(c_0(c_2(c_4(c_1(c_3(c_0(c_4(c_3(c_1(c_3(c_1(c_1(c_1(c_0(z0)))))))))))))))))))) -> 3(2(1(1(4(1(2(1(4(0(2(1(1(4(4(0(1(2(2(1(z0))))))))))))))))))))
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   1(z0) -> c_1(z0)
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   1(c_1(c_0(c_2(c_4(c_4(c_4(c_1(c_2(c_4(c_4(c_1(c_0(c_4(c_2(c_2(c_1(c_3(c_0(c_3(z0)))))))))))))))))))) -> 2(1(1(1(1(3(3(4(3(1(1(4(4(2(1(3(1(0(0(3(z0))))))))))))))))))))
   1(c_4(c_1(c_3(c_0(c_1(c_1(c_1(c_1(c_0(c_4(c_0(c_0(c_3(c_0(c_3(c_2(c_4(c_3(c_4(z0)))))))))))))))))))) -> 1(4(4(0(4(0(0(2(4(0(4(3(2(1(2(4(2(4(3(1(z0))))))))))))))))))))
   1(c_4(c_2(c_4(c_4(c_3(c_3(c_4(c_3(c_3(c_4(c_1(c_4(c_1(c_2(c_3(c_4(c_1(c_1(c_2(z0)))))))))))))))))))) -> 3(2(2(0(3(0(2(2(1(2(1(0(3(4(1(3(1(2(1(2(z0))))))))))))))))))))
   1(c_0(c_0(c_0(c_3(c_2(c_4(c_3(c_1(c_2(c_3(c_0(c_2(c_4(c_1(c_0(c_1(c_2(c_4(c_2(z0)))))))))))))))))))) -> 2(0(0(4(4(1(4(3(2(1(3(1(3(0(4(1(1(4(0(2(z0))))))))))))))))))))
   1(c_4(c_1(c_2(c_3(c_0(c_0(c_2(c_3(c_4(c_1(c_4(c_0(c_2(c_0(c_4(c_1(c_1(c_2(c_0(z0)))))))))))))))))))) -> 4(3(1(2(1(4(4(3(4(3(2(2(1(3(2(1(3(4(1(4(z0))))))))))))))))))))
   1(c_3(c_4(c_3(c_0(c_3(c_1(c_4(c_3(c_2(c_4(c_0(c_1(c_0(c_0(c_1(c_3(c_3(c_1(c_1(z0)))))))))))))))))))) -> 1(2(2(4(3(1(4(4(3(1(1(0(3(3(0(3(0(1(0(4(z0))))))))))))))))))))
   1(c_2(c_4(c_4(c_0(c_0(c_4(c_3(c_0(c_2(c_2(c_3(c_0(c_0(c_4(c_4(c_3(c_3(c_3(c_2(z0)))))))))))))))))))) -> 4(2(3(2(1(0(4(3(3(1(3(3(1(4(2(0(0(1(4(3(z0))))))))))))))))))))
   1(c_0(c_1(c_1(c_3(c_3(c_0(c_2(c_0(c_2(c_2(c_1(c_0(c_4(c_1(c_0(c_4(c_3(c_1(c_4(z0)))))))))))))))))))) -> 1(2(4(1(0(0(0(1(4(2(0(0(4(4(4(1(4(3(1(4(z0))))))))))))))))))))
   1(c_2(c_0(c_3(c_1(c_0(c_2(c_0(c_4(c_1(c_4(c_4(c_2(c_4(c_0(c_4(c_3(c_4(c_4(c_3(z0)))))))))))))))))))) -> 2(1(4(4(4(1(4(1(1(2(4(1(1(2(2(1(1(0(0(0(z0))))))))))))))))))))
   1(c_4(c_2(c_3(c_1(c_4(c_2(c_2(c_0(c_4(c_2(c_3(c_0(c_1(c_3(c_2(c_1(c_3(c_3(c_4(z0)))))))))))))))))))) -> 1(4(1(3(4(3(0(1(4(0(2(1(0(1(1(0(3(1(2(2(z0))))))))))))))))))))
   2(z0) -> c_2(z0)
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   2(c_2(c_2(c_0(c_0(c_0(c_3(c_4(c_4(c_0(c_2(c_1(c_2(c_0(c_0(c_2(c_0(c_3(c_0(c_0(z0)))))))))))))))))))) -> 4(2(3(4(0(4(2(1(0(3(1(1(1(3(0(0(3(1(2(0(z0))))))))))))))))))))
   2(c_0(c_0(c_3(c_3(c_1(c_0(c_4(c_2(c_3(c_1(c_2(c_3(c_0(c_4(c_1(c_3(c_0(c_4(c_4(z0)))))))))))))))))))) -> 4(0(3(4(3(3(1(2(1(4(1(4(4(3(0(3(0(1(0(0(z0))))))))))))))))))))
   2(c_3(c_0(c_4(c_0(c_2(c_4(c_4(c_4(c_2(c_1(c_2(c_0(c_3(c_2(c_2(c_1(c_1(c_3(c_0(z0)))))))))))))))))))) -> 2(1(1(1(4(4(1(1(4(0(2(3(2(4(1(0(2(4(2(1(z0))))))))))))))))))))
   2(c_4(c_3(c_4(c_4(c_4(c_4(c_3(c_2(c_4(c_4(c_2(c_3(c_3(c_1(c_1(c_0(c_4(c_2(c_2(z0)))))))))))))))))))) -> 4(1(4(3(4(2(2(1(2(1(4(4(3(1(0(4(3(4(0(0(z0))))))))))))))))))))
   2(c_2(c_3(c_3(c_0(c_2(c_0(c_3(c_0(c_1(c_4(c_3(c_2(c_2(c_1(c_0(c_2(c_2(c_4(c_4(z0)))))))))))))))))))) -> 4(1(2(4(2(1(4(2(2(0(3(0(1(4(1(2(4(3(4(0(z0))))))))))))))))))))
   2(c_3(c_0(c_4(c_1(c_3(c_1(c_3(c_0(c_0(c_1(c_1(c_1(c_1(c_2(c_3(c_1(c_4(c_2(c_1(z0)))))))))))))))))))) -> 1(0(2(2(2(3(3(1(0(4(3(1(4(2(2(1(1(0(3(1(z0))))))))))))))))))))
   2(c_0(c_0(c_0(c_0(c_1(c_4(c_4(c_3(c_1(c_3(c_3(c_2(c_2(c_1(c_4(c_4(c_2(c_3(c_1(z0)))))))))))))))))))) -> 2(4(1(0(1(4(3(1(2(2(2(1(1(1(3(4(4(0(1(2(z0))))))))))))))))))))
   2(c_3(c_0(c_2(c_4(c_0(c_1(c_0(c_3(c_4(c_3(c_3(c_1(c_4(c_1(c_0(c_4(c_3(c_2(c_2(z0)))))))))))))))))))) -> 3(1(3(1(2(2(0(4(1(3(1(1(4(2(3(4(4(4(4(4(z0))))))))))))))))))))
   2(c_2(c_3(c_3(c_1(c_3(c_1(c_2(c_0(c_0(c_4(c_3(c_4(c_2(c_2(c_0(c_2(c_2(c_4(c_0(z0)))))))))))))))))))) -> 2(1(2(0(4(4(1(0(2(4(1(3(2(1(3(1(0(2(3(3(z0))))))))))))))))))))
   2(c_1(c_1(c_3(c_2(c_4(c_3(c_0(c_1(c_4(c_2(c_0(c_3(c_1(c_2(c_0(c_4(c_0(c_3(c_2(z0)))))))))))))))))))) -> 2(2(1(0(4(2(0(1(3(0(4(1(2(4(4(3(2(2(1(2(z0))))))))))))))))))))
   2(c_0(c_4(c_3(c_4(c_4(c_2(c_1(c_0(c_0(c_2(c_4(c_4(c_2(c_1(c_1(c_1(c_1(c_1(c_4(z0)))))))))))))))))))) -> 0(4(0(1(2(2(1(4(2(1(4(3(0(4(3(4(1(1(3(1(z0))))))))))))))))))))
   2(c_3(c_3(c_3(c_4(c_0(c_4(c_1(c_0(c_2(c_2(c_4(c_2(c_4(c_1(c_1(c_3(c_3(c_4(c_1(z0)))))))))))))))))))) -> 4(2(1(4(1(0(3(1(4(4(3(3(0(1(3(1(2(4(3(0(z0))))))))))))))))))))
   2(c_0(c_1(c_4(c_4(c_3(c_3(c_4(c_2(c_3(c_1(c_3(c_1(c_1(c_3(c_0(c_4(c_1(c_3(c_2(z0)))))))))))))))))))) -> 2(1(4(3(1(0(3(1(4(4(4(2(2(0(0(4(2(0(2(2(z0))))))))))))))))))))
   2(c_2(c_4(c_1(c_0(c_3(c_0(c_4(c_2(c_4(c_3(c_3(c_4(c_3(c_3(c_1(c_0(c_1(c_0(c_0(z0)))))))))))))))))))) -> 0(4(3(4(1(0(3(4(4(4(3(0(4(0(1(2(1(3(1(4(z0))))))))))))))))))))
   2(c_3(c_4(c_4(c_0(c_0(c_4(c_4(c_4(c_3(c_3(c_0(c_4(c_2(c_2(c_3(c_0(c_0(c_1(c_3(z0)))))))))))))))))))) -> 0(2(0(4(3(3(2(1(4(4(1(2(0(1(2(4(3(3(4(1(z0))))))))))))))))))))
   2(c_3(c_1(c_3(c_2(c_1(c_4(c_1(c_0(c_2(c_4(c_2(c_0(c_0(c_2(c_3(c_4(c_4(c_3(c_2(z0)))))))))))))))))))) -> 4(1(1(4(3(2(3(1(4(1(4(4(1(3(1(2(3(4(4(1(z0))))))))))))))))))))
   2(c_3(c_2(c_4(c_2(c_1(c_0(c_0(c_2(c_4(c_3(c_4(c_1(c_1(c_3(c_2(c_4(c_2(c_1(c_2(z0)))))))))))))))))))) -> 2(3(2(1(1(0(2(0(1(1(3(2(1(4(3(1(1(0(3(1(z0))))))))))))))))))))
   2(c_0(c_2(c_2(c_1(c_3(c_3(c_2(c_4(c_0(c_1(c_0(c_3(c_1(c_4(c_0(c_0(c_0(c_1(c_3(z0)))))))))))))))))))) -> 1(3(4(2(0(1(1(3(1(3(4(4(2(3(1(0(1(3(1(3(z0))))))))))))))))))))
   3(z0) -> c_3(z0)
   3(c_0(c_3(c_3(c_3(c_4(c_2(c_1(c_4(c_2(c_2(c_3(c_2(c_0(c_4(c_4(c_4(c_1(c_1(c_1(z0)))))))))))))))))))) -> 1(4(3(4(2(2(4(3(2(0(1(4(1(1(3(1(2(1(1(3(z0))))))))))))))))))))
   3(c_1(c_0(c_0(c_1(c_0(c_4(c_4(c_1(c_0(c_1(c_2(c_4(c_0(c_2(c_1(c_3(c_0(c_2(c_0(z0)))))))))))))))))))) -> 4(4(3(2(4(2(1(2(0(0(1(4(2(3(0(0(1(0(1(4(z0))))))))))))))))))))
   3(c_0(c_3(c_0(c_4(c_1(c_3(c_1(c_1(c_0(c_4(c_1(c_2(c_3(c_4(c_1(c_1(c_0(c_1(c_4(z0)))))))))))))))))))) -> 2(0(1(2(4(3(2(1(4(2(4(0(3(2(4(2(3(1(4(1(z0))))))))))))))))))))
   3(c_3(c_0(c_3(c_0(c_4(c_2(c_0(c_1(c_3(c_3(c_4(c_1(c_0(c_3(c_2(c_2(c_1(c_1(c_1(z0)))))))))))))))))))) -> 4(0(1(3(1(2(1(0(1(1(2(3(0(4(3(3(1(3(0(1(z0))))))))))))))))))))
   3(c_3(c_1(c_1(c_2(c_2(c_4(c_2(c_1(c_4(c_3(c_3(c_4(c_3(c_1(c_0(c_0(c_2(c_1(c_1(z0)))))))))))))))))))) -> 2(2(2(0(3(1(1(1(4(1(0(3(1(2(1(4(1(3(1(1(z0))))))))))))))))))))
   3(c_2(c_0(c_0(c_1(c_4(c_1(c_0(c_3(c_3(c_0(c_3(c_0(c_1(c_4(c_1(c_3(c_3(c_2(c_1(z0)))))))))))))))))))) -> 1(2(2(2(1(1(4(3(0(3(2(2(4(2(1(4(4(3(1(4(z0))))))))))))))))))))
   3(c_3(c_4(c_1(c_1(c_4(c_4(c_3(c_1(c_0(c_1(c_3(c_0(c_0(c_3(c_1(c_3(c_3(c_2(c_0(z0)))))))))))))))))))) -> 2(1(4(1(1(1(4(2(4(2(4(1(3(4(2(3(3(2(2(4(z0))))))))))))))))))))
   3(c_4(c_1(c_4(c_3(c_2(c_2(c_4(c_1(c_1(c_4(c_4(c_2(c_3(c_0(c_1(c_1(c_3(c_0(c_1(z0)))))))))))))))))))) -> 4(1(4(0(1(4(1(2(2(4(2(2(1(2(2(1(1(1(3(2(z0))))))))))))))))))))
   3(c_4(c_2(c_4(c_2(c_0(c_3(c_4(c_2(c_4(c_3(c_1(c_4(c_3(c_4(c_0(c_4(c_4(c_3(c_1(z0)))))))))))))))))))) -> 3(4(1(3(2(3(3(4(4(1(1(3(1(3(3(1(1(4(1(0(z0))))))))))))))))))))
   3(c_2(c_1(c_0(c_2(c_3(c_1(c_2(c_3(c_2(c_0(c_1(c_0(c_3(c_0(c_0(c_1(c_4(c_2(c_1(z0)))))))))))))))))))) -> 1(3(1(4(1(1(1(4(0(0(2(1(0(4(1(2(2(3(1(1(z0))))))))))))))))))))
   3(c_1(c_0(c_0(c_0(c_4(c_0(c_4(c_3(c_0(c_2(c_4(c_3(c_3(c_3(c_1(c_1(c_3(c_0(c_1(z0)))))))))))))))))))) -> 4(2(4(2(0(1(2(3(4(1(0(3(1(2(2(0(4(4(2(4(z0))))))))))))))))))))
   3(c_4(c_2(c_1(c_4(c_1(c_3(c_4(c_3(c_4(c_2(c_0(c_2(c_2(c_4(c_3(c_0(c_1(c_0(c_1(z0)))))))))))))))))))) -> 4(2(1(4(1(2(2(2(2(2(3(1(0(1(2(4(3(1(2(4(z0))))))))))))))))))))
   3(c_4(c_0(c_0(c_1(c_2(c_0(c_4(c_4(c_4(c_4(c_4(c_1(c_2(c_2(c_4(c_4(c_0(c_3(c_0(z0)))))))))))))))))))) -> 3(2(3(4(1(1(4(3(4(4(1(1(2(2(4(4(0(0(4(0(z0))))))))))))))))))))
   3(c_2(c_4(c_4(c_2(c_0(c_2(c_4(c_4(c_3(c_3(c_1(c_1(c_2(c_4(c_2(c_3(c_4(c_4(c_2(z0)))))))))))))))))))) -> 1(4(1(3(3(2(1(2(3(4(2(4(1(3(0(4(2(1(3(1(z0))))))))))))))))))))
   3(c_4(c_0(c_3(c_1(c_3(c_3(c_3(c_0(c_1(c_3(c_2(c_2(c_3(c_4(c_2(c_2(c_4(c_4(c_2(z0)))))))))))))))))))) -> 0(3(2(1(1(1(3(2(4(0(3(0(3(3(0(2(1(2(1(2(z0))))))))))))))))))))
   3(c_4(c_0(c_0(c_4(c_1(c_4(c_1(c_1(c_0(c_1(c_0(c_1(c_2(c_1(c_3(c_2(c_2(c_3(c_4(z0)))))))))))))))))))) -> 1(3(4(2(1(3(0(1(4(3(1(3(4(0(4(1(2(4(0(2(z0))))))))))))))))))))
   3(c_2(c_2(c_3(c_3(c_0(c_0(c_4(c_4(c_0(c_4(c_4(c_4(c_2(c_3(c_3(c_1(c_1(c_2(c_1(z0)))))))))))))))))))) -> 3(0(3(4(4(4(4(1(4(3(3(0(0(2(3(2(1(2(2(1(z0))))))))))))))))))))
   3(c_2(c_4(c_0(c_0(c_2(c_4(c_0(c_4(c_3(c_4(c_2(c_1(c_1(c_2(c_4(c_3(c_3(c_2(c_1(z0)))))))))))))))))))) -> 0(3(3(4(3(1(4(2(4(3(2(1(4(1(4(0(3(1(4(2(z0))))))))))))))))))))
   3(c_0(c_2(c_2(c_1(c_0(c_0(c_0(c_0(c_0(c_3(c_1(c_0(c_0(c_4(c_3(c_4(c_2(c_2(c_0(z0)))))))))))))))))))) -> 3(2(2(0(0(2(2(4(0(4(3(4(3(0(2(2(3(2(1(0(z0))))))))))))))))))))
   3(c_0(c_3(c_0(c_0(c_1(c_3(c_2(c_4(c_4(c_4(c_0(c_3(c_0(c_1(c_4(c_1(c_2(c_4(c_3(z0)))))))))))))))))))) -> 2(2(3(2(1(0(2(0(0(2(0(4(0(4(0(4(3(2(2(3(z0))))))))))))))))))))
   3(c_4(c_4(c_0(c_0(c_0(c_0(c_3(c_2(c_2(c_2(c_1(c_4(c_4(c_4(c_1(c_2(c_4(c_0(c_3(z0)))))))))))))))))))) -> 1(1(4(0(0(2(0(1(2(2(2(2(0(1(3(1(0(2(0(0(z0))))))))))))))))))))
   3(c_0(c_1(c_4(c_2(c_2(c_1(c_1(c_2(c_4(c_4(c_1(c_1(c_1(c_3(c_1(c_1(c_3(c_3(c_3(z0)))))))))))))))))))) -> 3(3(4(2(1(1(3(1(2(1(2(2(1(3(4(1(4(2(4(2(z0))))))))))))))))))))
   3(c_1(c_4(c_4(c_1(c_4(c_3(c_4(c_0(c_3(c_0(c_2(c_0(c_3(c_2(c_1(c_2(c_3(c_2(c_4(z0)))))))))))))))))))) -> 2(0(3(1(2(3(1(2(1(2(1(3(3(4(2(0(0(2(2(1(z0))))))))))))))))))))
   3(c_3(c_3(c_4(c_2(c_3(c_3(c_0(c_1(c_3(c_4(c_4(c_4(c_0(c_4(c_2(c_2(c_4(c_0(c_2(z0)))))))))))))))))))) -> 3(4(3(4(1(3(4(2(2(2(2(0(4(1(3(3(1(1(4(4(z0))))))))))))))))))))
   4(z0) -> c_4(z0)
   4(c_1(c_3(c_2(c_2(c_4(c_4(c_2(c_0(c_0(c_3(c_2(c_3(c_1(c_1(c_3(c_2(c_3(c_3(c_1(z0)))))))))))))))))))) -> 3(2(1(2(1(3(2(1(3(2(3(2(1(1(2(1(2(3(4(3(z0))))))))))))))))))))
   4(c_0(c_3(c_0(c_3(c_1(c_1(c_2(c_0(c_4(c_3(c_0(c_4(c_3(c_1(c_0(c_0(c_4(c_2(c_4(z0)))))))))))))))))))) -> 2(4(4(4(4(2(2(2(2(4(3(2(2(3(4(1(2(0(1(3(z0))))))))))))))))))))
   4(c_3(c_4(c_3(c_4(c_4(c_3(c_0(c_3(c_3(c_2(c_2(c_3(c_1(c_3(c_2(c_2(c_3(c_4(c_1(z0)))))))))))))))))))) -> 4(1(0(0(4(3(4(1(2(4(3(3(2(1(3(4(1(0(3(1(z0))))))))))))))))))))
   4(c_4(c_0(c_4(c_4(c_1(c_0(c_3(c_3(c_2(c_0(c_3(c_0(c_1(c_3(c_0(c_3(c_1(c_3(c_3(z0)))))))))))))))))))) -> 2(1(0(3(1(3(1(4(3(3(0(0(1(4(4(1(2(2(3(0(z0))))))))))))))))))))
   4(c_2(c_1(c_2(c_1(c_1(c_2(c_3(c_4(c_2(c_3(c_2(c_1(c_4(c_2(c_2(c_4(c_0(c_3(c_0(z0)))))))))))))))))))) -> 3(1(0(2(1(3(1(2(1(0(2(1(1(3(1(0(4(0(3(4(z0))))))))))))))))))))
   4(c_0(c_2(c_4(c_2(c_1(c_4(c_2(c_4(c_2(c_4(c_1(c_2(c_0(c_1(c_0(c_3(c_0(c_3(c_0(z0)))))))))))))))))))) -> 0(3(1(0(4(1(4(2(3(1(4(4(1(2(0(1(0(0(0(4(z0))))))))))))))))))))
   4(c_3(c_2(c_0(c_1(c_0(c_2(c_2(c_3(c_1(c_4(c_0(c_0(c_3(c_4(c_0(c_0(c_1(c_1(c_2(z0)))))))))))))))))))) -> 3(2(0(3(0(0(4(1(1(4(2(4(1(4(3(1(3(1(4(3(z0))))))))))))))))))))
   4(c_1(c_3(c_4(c_1(c_3(c_0(c_2(c_4(c_3(c_4(c_3(c_3(c_1(c_0(c_2(c_0(c_1(c_2(c_4(z0)))))))))))))))))))) -> 2(0(4(4(1(0(2(2(1(1(4(0(4(0(1(4(0(4(4(3(z0))))))))))))))))))))
   4(c_3(c_1(c_3(c_2(c_2(c_4(c_0(c_1(c_0(c_4(c_0(c_0(c_2(c_1(c_0(c_1(c_4(c_3(c_0(z0)))))))))))))))))))) -> 1(3(1(1(1(1(3(4(4(1(4(4(1(4(0(4(2(4(1(3(z0))))))))))))))))))))
   4(c_1(c_3(c_4(c_2(c_3(c_0(c_4(c_4(c_3(c_3(c_1(c_1(c_3(c_4(c_1(c_1(c_3(c_3(c_0(z0)))))))))))))))))))) -> 2(4(4(4(4(2(2(4(1(0(2(2(4(0(3(2(2(2(2(2(z0))))))))))))))))))))
   4(c_3(c_4(c_4(c_2(c_2(c_3(c_2(c_0(c_4(c_2(c_4(c_2(c_2(c_1(c_4(c_2(c_3(c_3(c_0(z0)))))))))))))))))))) -> 1(2(1(2(1(1(0(4(0(1(1(4(2(1(0(4(1(0(4(3(z0))))))))))))))))))))
   4(c_4(c_3(c_2(c_1(c_2(c_0(c_3(c_0(c_4(c_0(c_2(c_1(c_4(c_4(c_0(c_2(c_1(c_3(c_0(z0)))))))))))))))))))) -> 4(2(4(1(4(2(2(0(1(0(3(1(3(0(1(3(3(2(1(0(z0))))))))))))))))))))
   4(c_1(c_2(c_1(c_0(c_4(c_3(c_1(c_3(c_0(c_2(c_3(c_3(c_4(c_3(c_1(c_0(c_0(c_0(c_4(z0)))))))))))))))))))) -> 3(2(0(2(2(1(2(1(1(2(3(0(1(3(3(3(2(4(1(0(z0))))))))))))))))))))
   4(c_0(c_0(c_3(c_3(c_1(c_0(c_2(c_2(c_0(c_4(c_0(c_4(c_3(c_0(c_0(c_2(c_2(c_1(c_3(z0)))))))))))))))))))) -> 0(0(3(2(1(2(3(2(4(3(1(2(0(2(2(1(1(0(3(1(z0))))))))))))))))))))
   4(c_3(c_4(c_3(c_4(c_4(c_2(c_0(c_4(c_4(c_2(c_0(c_2(c_0(c_4(c_4(c_2(c_2(c_3(c_3(z0)))))))))))))))))))) -> 3(4(0(1(3(0(0(4(3(1(2(2(3(1(3(4(2(2(0(3(z0))))))))))))))))))))
   4(c_3(c_2(c_3(c_2(c_2(c_1(c_2(c_0(c_3(c_0(c_0(c_0(c_1(c_1(c_3(c_2(c_4(c_3(c_4(z0)))))))))))))))))))) -> 1(3(1(4(0(2(1(0(0(1(3(4(0(3(3(4(2(1(2(1(z0))))))))))))))))))))
   4(c_0(c_2(c_1(c_3(c_3(c_4(c_4(c_0(c_0(c_0(c_3(c_2(c_3(c_4(c_4(c_4(c_3(c_2(c_3(z0)))))))))))))))))))) -> 4(0(2(1(4(0(2(0(0(4(0(4(1(0(2(3(4(4(1(2(z0))))))))))))))))))))
   4(c_1(c_1(c_0(c_3(c_0(c_1(c_3(c_0(c_4(c_4(c_2(c_1(c_2(c_4(c_2(c_0(c_0(c_3(c_0(z0)))))))))))))))))))) -> 2(3(2(0(1(4(4(4(3(2(3(3(1(4(3(4(2(0(1(3(z0))))))))))))))))))))
   4(c_3(c_3(c_2(c_2(c_1(c_3(c_4(c_4(c_2(c_4(c_2(c_3(c_0(c_0(c_2(c_2(c_3(c_2(c_4(z0)))))))))))))))))))) -> 3(2(2(1(1(0(2(2(4(0(0(0(2(1(3(1(0(4(3(4(z0))))))))))))))))))))
   4(c_1(c_0(c_2(c_0(c_3(c_2(c_1(c_1(c_3(c_1(c_1(c_0(c_1(c_1(c_2(c_0(c_0(c_4(c_4(z0)))))))))))))))))))) -> 2(1(4(2(2(2(2(2(2(2(0(1(0(3(1(0(1(1(4(0(z0))))))))))))))))))))
   4(c_1(c_1(c_1(c_2(c_2(c_3(c_3(c_3(c_4(c_4(c_0(c_2(c_0(c_2(c_1(c_0(c_1(c_0(c_0(z0)))))))))))))))))))) -> 1(1(0(3(4(0(2(3(1(4(2(4(1(0(4(0(3(1(1(4(z0))))))))))))))))))))
   4(c_4(c_1(c_1(c_2(c_0(c_1(c_0(c_2(c_2(c_1(c_0(c_0(c_1(c_0(c_0(c_1(c_1(c_3(c_2(z0)))))))))))))))))))) -> 3(1(4(1(4(4(3(1(2(3(3(2(1(3(3(1(1(3(2(4(z0))))))))))))))))))))
   4(c_4(c_3(c_4(c_4(c_2(c_4(c_1(c_1(c_0(c_2(c_3(c_1(c_0(c_3(c_1(c_2(c_2(c_4(c_0(z0)))))))))))))))))))) -> 1(2(1(1(1(2(4(1(4(3(1(4(1(4(3(2(0(4(2(2(z0))))))))))))))))))))
   4(c_0(c_4(c_3(c_0(c_0(c_2(c_1(c_2(c_2(c_0(c_3(c_0(c_3(c_1(c_1(c_1(c_3(c_3(c_3(z0)))))))))))))))))))) -> 4(1(2(1(1(2(2(1(1(2(0(1(0(2(4(4(1(1(1(0(z0))))))))))))))))))))
Tuples:
   ENCARG(cons_0(z0)) -> c(0'(encArg(z0)), ENCARG(z0))
   ENCARG(cons_1(z0)) -> c1(1'(encArg(z0)), ENCARG(z0))
   ENCARG(cons_2(z0)) -> c2(2'(encArg(z0)), ENCARG(z0))
   ENCARG(cons_3(z0)) -> c3(3'(encArg(z0)), ENCARG(z0))
   ENCARG(cons_4(z0)) -> c4(4'(encArg(z0)), ENCARG(z0))
   ENCODE_0(z0) -> c5(0'(encArg(z0)), ENCARG(z0))
   ENCODE_1(z0) -> c6(1'(encArg(z0)), ENCARG(z0))
   ENCODE_2(z0) -> c7(2'(encArg(z0)), ENCARG(z0))
   ENCODE_3(z0) -> c8(3'(encArg(z0)), ENCARG(z0))
   ENCODE_4(z0) -> c9(4'(encArg(z0)), ENCARG(z0))
   0'(z0) -> c10
   0'(c_4(c_4(c_4(c_0(c_2(c_2(c_1(c_3(c_2(c_1(c_0(c_4(c_1(c_3(c_0(c_1(c_3(c_4(c_4(z0)))))))))))))))))))) -> c11(3'(2(3(0(1(2(2(3(1(4(0(4(1(1(1(4(2(2(1(1(z0)))))))))))))))))))), 2'(3(0(1(2(2(3(1(4(0(4(1(1(1(4(2(2(1(1(z0))))))))))))))))))), 3'(0(1(2(2(3(1(4(0(4(1(1(1(4(2(2(1(1(z0)))))))))))))))))), 0'(1(2(2(3(1(4(0(4(1(1(1(4(2(2(1(1(z0))))))))))))))))), 1'(2(2(3(1(4(0(4(1(1(1(4(2(2(1(1(z0)))))))))))))))), 2'(2(3(1(4(0(4(1(1(1(4(2(2(1(1(z0))))))))))))))), 2'(3(1(4(0(4(1(1(1(4(2(2(1(1(z0)))))))))))))), 3'(1(4(0(4(1(1(1(4(2(2(1(1(z0))))))))))))), 1'(4(0(4(1(1(1(4(2(2(1(1(z0)))))))))))), 4'(0(4(1(1(1(4(2(2(1(1(z0))))))))))), 0'(4(1(1(1(4(2(2(1(1(z0)))))))))), 4'(1(1(1(4(2(2(1(1(z0))))))))), 1'(1(1(4(2(2(1(1(z0)))))))), 1'(1(4(2(2(1(1(z0))))))), 1'(4(2(2(1(1(z0)))))), 4'(2(2(1(1(z0))))), 2'(2(1(1(z0)))), 2'(1(1(z0))), 1'(1(z0)), 1'(z0))
   0'(c_1(c_4(c_2(c_3(c_1(c_1(c_2(c_3(c_2(c_3(c_1(c_0(c_1(c_0(c_2(c_0(c_2(c_3(c_2(z0)))))))))))))))))))) -> c12(3'(1(3(2(0(4(1(3(2(1(0(4(0(4(4(3(2(1(4(3(z0)))))))))))))))))))), 1'(3(2(0(4(1(3(2(1(0(4(0(4(4(3(2(1(4(3(z0))))))))))))))))))), 3'(2(0(4(1(3(2(1(0(4(0(4(4(3(2(1(4(3(z0)))))))))))))))))), 2'(0(4(1(3(2(1(0(4(0(4(4(3(2(1(4(3(z0))))))))))))))))), 0'(4(1(3(2(1(0(4(0(4(4(3(2(1(4(3(z0)))))))))))))))), 4'(1(3(2(1(0(4(0(4(4(3(2(1(4(3(z0))))))))))))))), 1'(3(2(1(0(4(0(4(4(3(2(1(4(3(z0)))))))))))))), 3'(2(1(0(4(0(4(4(3(2(1(4(3(z0))))))))))))), 2'(1(0(4(0(4(4(3(2(1(4(3(z0)))))))))))), 1'(0(4(0(4(4(3(2(1(4(3(z0))))))))))), 0'(4(0(4(4(3(2(1(4(3(z0)))))))))), 4'(0(4(4(3(2(1(4(3(z0))))))))), 0'(4(4(3(2(1(4(3(z0)))))))), 4'(4(3(2(1(4(3(z0))))))), 4'(3(2(1(4(3(z0)))))), 3'(2(1(4(3(z0))))), 2'(1(4(3(z0)))), 1'(4(3(z0))), 4'(3(z0)), 3'(z0))
   0'(c_3(c_0(c_0(c_1(c_1(c_4(c_3(c_4(c_3(c_0(c_4(c_2(c_1(c_4(c_3(c_4(c_2(c_1(c_2(z0)))))))))))))))))))) -> c13(1'(4(0(1(2(2(2(3(4(4(2(4(2(2(1(3(1(4(2(4(z0)))))))))))))))))))), 4'(0(1(2(2(2(3(4(4(2(4(2(2(1(3(1(4(2(4(z0))))))))))))))))))), 0'(1(2(2(2(3(4(4(2(4(2(2(1(3(1(4(2(4(z0)))))))))))))))))), 1'(2(2(2(3(4(4(2(4(2(2(1(3(1(4(2(4(z0))))))))))))))))), 2'(2(2(3(4(4(2(4(2(2(1(3(1(4(2(4(z0)))))))))))))))), 2'(2(3(4(4(2(4(2(2(1(3(1(4(2(4(z0))))))))))))))), 2'(3(4(4(2(4(2(2(1(3(1(4(2(4(z0)))))))))))))), 3'(4(4(2(4(2(2(1(3(1(4(2(4(z0))))))))))))), 4'(4(2(4(2(2(1(3(1(4(2(4(z0)))))))))))), 4'(2(4(2(2(1(3(1(4(2(4(z0))))))))))), 2'(4(2(2(1(3(1(4(2(4(z0)))))))))), 4'(2(2(1(3(1(4(2(4(z0))))))))), 2'(2(1(3(1(4(2(4(z0)))))))), 2'(1(3(1(4(2(4(z0))))))), 1'(3(1(4(2(4(z0)))))), 3'(1(4(2(4(z0))))), 1'(4(2(4(z0)))), 4'(2(4(z0))), 2'(4(z0)), 4'(z0))
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   0'(c_1(c_4(c_0(c_3(c_1(c_3(c_3(c_0(c_3(c_1(c_4(c_4(c_1(c_1(c_1(c_4(c_0(c_4(c_0(z0)))))))))))))))))))) -> c26(3'(2(0(3(2(4(3(4(4(2(1(0(1(4(1(3(1(4(4(4(z0)))))))))))))))))))), 2'(0(3(2(4(3(4(4(2(1(0(1(4(1(3(1(4(4(4(z0))))))))))))))))))), 0'(3(2(4(3(4(4(2(1(0(1(4(1(3(1(4(4(4(z0)))))))))))))))))), 3'(2(4(3(4(4(2(1(0(1(4(1(3(1(4(4(4(z0))))))))))))))))), 2'(4(3(4(4(2(1(0(1(4(1(3(1(4(4(4(z0)))))))))))))))), 4'(3(4(4(2(1(0(1(4(1(3(1(4(4(4(z0))))))))))))))), 3'(4(4(2(1(0(1(4(1(3(1(4(4(4(z0)))))))))))))), 4'(4(2(1(0(1(4(1(3(1(4(4(4(z0))))))))))))), 4'(2(1(0(1(4(1(3(1(4(4(4(z0)))))))))))), 2'(1(0(1(4(1(3(1(4(4(4(z0))))))))))), 1'(0(1(4(1(3(1(4(4(4(z0)))))))))), 0'(1(4(1(3(1(4(4(4(z0))))))))), 1'(4(1(3(1(4(4(4(z0)))))))), 4'(1(3(1(4(4(4(z0))))))), 1'(3(1(4(4(4(z0)))))), 3'(1(4(4(4(z0))))), 1'(4(4(4(z0)))), 4'(4(4(z0))), 4'(4(z0)), 4'(z0))
   0'(c_2(c_3(c_4(c_2(c_2(c_4(c_4(c_1(c_0(c_3(c_2(c_2(c_4(c_2(c_2(c_3(c_1(c_1(c_4(z0)))))))))))))))))))) -> c27(1'(3(1(4(0(3(1(1(4(3(3(2(2(1(2(0(2(0(3(4(z0)))))))))))))))))))), 3'(1(4(0(3(1(1(4(3(3(2(2(1(2(0(2(0(3(4(z0))))))))))))))))))), 1'(4(0(3(1(1(4(3(3(2(2(1(2(0(2(0(3(4(z0)))))))))))))))))), 4'(0(3(1(1(4(3(3(2(2(1(2(0(2(0(3(4(z0))))))))))))))))), 0'(3(1(1(4(3(3(2(2(1(2(0(2(0(3(4(z0)))))))))))))))), 3'(1(1(4(3(3(2(2(1(2(0(2(0(3(4(z0))))))))))))))), 1'(1(4(3(3(2(2(1(2(0(2(0(3(4(z0)))))))))))))), 1'(4(3(3(2(2(1(2(0(2(0(3(4(z0))))))))))))), 4'(3(3(2(2(1(2(0(2(0(3(4(z0)))))))))))), 3'(3(2(2(1(2(0(2(0(3(4(z0))))))))))), 3'(2(2(1(2(0(2(0(3(4(z0)))))))))), 2'(2(1(2(0(2(0(3(4(z0))))))))), 2'(1(2(0(2(0(3(4(z0)))))))), 1'(2(0(2(0(3(4(z0))))))), 2'(0(2(0(3(4(z0)))))), 0'(2(0(3(4(z0))))), 2'(0(3(4(z0)))), 0'(3(4(z0))), 3'(4(z0)), 4'(z0))
   0'(c_1(c_4(c_1(c_3(c_1(c_0(c_2(c_4(c_1(c_3(c_0(c_4(c_3(c_1(c_3(c_1(c_1(c_1(c_0(z0)))))))))))))))))))) -> c28(3'(2(1(1(4(1(2(1(4(0(2(1(1(4(4(0(1(2(2(1(z0)))))))))))))))))))), 2'(1(1(4(1(2(1(4(0(2(1(1(4(4(0(1(2(2(1(z0))))))))))))))))))), 1'(1(4(1(2(1(4(0(2(1(1(4(4(0(1(2(2(1(z0)))))))))))))))))), 1'(4(1(2(1(4(0(2(1(1(4(4(0(1(2(2(1(z0))))))))))))))))), 4'(1(2(1(4(0(2(1(1(4(4(0(1(2(2(1(z0)))))))))))))))), 1'(2(1(4(0(2(1(1(4(4(0(1(2(2(1(z0))))))))))))))), 2'(1(4(0(2(1(1(4(4(0(1(2(2(1(z0)))))))))))))), 1'(4(0(2(1(1(4(4(0(1(2(2(1(z0))))))))))))), 4'(0(2(1(1(4(4(0(1(2(2(1(z0)))))))))))), 0'(2(1(1(4(4(0(1(2(2(1(z0))))))))))), 2'(1(1(4(4(0(1(2(2(1(z0)))))))))), 1'(1(4(4(0(1(2(2(1(z0))))))))), 1'(4(4(0(1(2(2(1(z0)))))))), 4'(4(0(1(2(2(1(z0))))))), 4'(0(1(2(2(1(z0)))))), 0'(1(2(2(1(z0))))), 1'(2(2(1(z0)))), 2'(2(1(z0))), 2'(1(z0)), 1'(z0))
   0'(c_1(c_3(c_0(c_2(c_4(c_3(c_0(c_3(c_1(c_0(c_2(c_4(c_2(c_2(c_0(c_3(c_4(c_1(c_1(z0)))))))))))))))))))) -> c29(4'(0(2(4(3(1(3(1(0(2(3(3(2(1(0(4(4(1(2(1(z0)))))))))))))))))))), 0'(2(4(3(1(3(1(0(2(3(3(2(1(0(4(4(1(2(1(z0))))))))))))))))))), 2'(4(3(1(3(1(0(2(3(3(2(1(0(4(4(1(2(1(z0)))))))))))))))))), 4'(3(1(3(1(0(2(3(3(2(1(0(4(4(1(2(1(z0))))))))))))))))), 3'(1(3(1(0(2(3(3(2(1(0(4(4(1(2(1(z0)))))))))))))))), 1'(3(1(0(2(3(3(2(1(0(4(4(1(2(1(z0))))))))))))))), 3'(1(0(2(3(3(2(1(0(4(4(1(2(1(z0)))))))))))))), 1'(0(2(3(3(2(1(0(4(4(1(2(1(z0))))))))))))), 0'(2(3(3(2(1(0(4(4(1(2(1(z0)))))))))))), 2'(3(3(2(1(0(4(4(1(2(1(z0))))))))))), 3'(3(2(1(0(4(4(1(2(1(z0)))))))))), 3'(2(1(0(4(4(1(2(1(z0))))))))), 2'(1(0(4(4(1(2(1(z0)))))))), 1'(0(4(4(1(2(1(z0))))))), 0'(4(4(1(2(1(z0)))))), 4'(4(1(2(1(z0))))), 4'(1(2(1(z0)))), 1'(2(1(z0))), 2'(1(z0)), 1'(z0))
   0'(c_2(c_1(c_2(c_1(c_0(c_2(c_3(c_0(c_0(c_4(c_2(c_3(c_1(c_4(c_0(c_3(c_1(c_3(c_1(z0)))))))))))))))))))) -> c30(3'(1(2(3(4(3(0(2(2(2(1(2(2(3(4(2(1(4(3(1(z0)))))))))))))))))))), 1'(2(3(4(3(0(2(2(2(1(2(2(3(4(2(1(4(3(1(z0))))))))))))))))))), 2'(3(4(3(0(2(2(2(1(2(2(3(4(2(1(4(3(1(z0)))))))))))))))))), 3'(4(3(0(2(2(2(1(2(2(3(4(2(1(4(3(1(z0))))))))))))))))), 4'(3(0(2(2(2(1(2(2(3(4(2(1(4(3(1(z0)))))))))))))))), 3'(0(2(2(2(1(2(2(3(4(2(1(4(3(1(z0))))))))))))))), 0'(2(2(2(1(2(2(3(4(2(1(4(3(1(z0)))))))))))))), 2'(2(2(1(2(2(3(4(2(1(4(3(1(z0))))))))))))), 2'(2(1(2(2(3(4(2(1(4(3(1(z0)))))))))))), 2'(1(2(2(3(4(2(1(4(3(1(z0))))))))))), 1'(2(2(3(4(2(1(4(3(1(z0)))))))))), 2'(2(3(4(2(1(4(3(1(z0))))))))), 2'(3(4(2(1(4(3(1(z0)))))))), 3'(4(2(1(4(3(1(z0))))))), 4'(2(1(4(3(1(z0)))))), 2'(1(4(3(1(z0))))), 1'(4(3(1(z0)))), 4'(3(1(z0))), 3'(1(z0)), 1'(z0))
   1'(z0) -> c31
   1'(c_0(c_0(c_4(c_0(c_0(c_1(c_2(c_3(c_0(c_1(c_4(c_1(c_3(c_0(c_2(c_1(c_4(c_0(c_0(z0)))))))))))))))))))) -> c32(4'(1(2(4(1(3(3(4(3(3(3(1(2(2(4(1(0(3(3(1(z0)))))))))))))))))))), 1'(2(4(1(3(3(4(3(3(3(1(2(2(4(1(0(3(3(1(z0))))))))))))))))))), 2'(4(1(3(3(4(3(3(3(1(2(2(4(1(0(3(3(1(z0)))))))))))))))))), 4'(1(3(3(4(3(3(3(1(2(2(4(1(0(3(3(1(z0))))))))))))))))), 1'(3(3(4(3(3(3(1(2(2(4(1(0(3(3(1(z0)))))))))))))))), 3'(3(4(3(3(3(1(2(2(4(1(0(3(3(1(z0))))))))))))))), 3'(4(3(3(3(1(2(2(4(1(0(3(3(1(z0)))))))))))))), 4'(3(3(3(1(2(2(4(1(0(3(3(1(z0))))))))))))), 3'(3(3(1(2(2(4(1(0(3(3(1(z0)))))))))))), 3'(3(1(2(2(4(1(0(3(3(1(z0))))))))))), 3'(1(2(2(4(1(0(3(3(1(z0)))))))))), 1'(2(2(4(1(0(3(3(1(z0))))))))), 2'(2(4(1(0(3(3(1(z0)))))))), 2'(4(1(0(3(3(1(z0))))))), 4'(1(0(3(3(1(z0)))))), 1'(0(3(3(1(z0))))), 0'(3(3(1(z0)))), 3'(3(1(z0))), 3'(1(z0)), 1'(z0))
   1'(c_1(c_0(c_2(c_4(c_4(c_4(c_1(c_2(c_4(c_4(c_1(c_0(c_4(c_2(c_2(c_1(c_3(c_0(c_3(z0)))))))))))))))))))) -> c33(2'(1(1(1(1(3(3(4(3(1(1(4(4(2(1(3(1(0(0(3(z0)))))))))))))))))))), 1'(1(1(1(3(3(4(3(1(1(4(4(2(1(3(1(0(0(3(z0))))))))))))))))))), 1'(1(1(3(3(4(3(1(1(4(4(2(1(3(1(0(0(3(z0)))))))))))))))))), 1'(1(3(3(4(3(1(1(4(4(2(1(3(1(0(0(3(z0))))))))))))))))), 1'(3(3(4(3(1(1(4(4(2(1(3(1(0(0(3(z0)))))))))))))))), 3'(3(4(3(1(1(4(4(2(1(3(1(0(0(3(z0))))))))))))))), 3'(4(3(1(1(4(4(2(1(3(1(0(0(3(z0)))))))))))))), 4'(3(1(1(4(4(2(1(3(1(0(0(3(z0))))))))))))), 3'(1(1(4(4(2(1(3(1(0(0(3(z0)))))))))))), 1'(1(4(4(2(1(3(1(0(0(3(z0))))))))))), 1'(4(4(2(1(3(1(0(0(3(z0)))))))))), 4'(4(2(1(3(1(0(0(3(z0))))))))), 4'(2(1(3(1(0(0(3(z0)))))))), 2'(1(3(1(0(0(3(z0))))))), 1'(3(1(0(0(3(z0)))))), 3'(1(0(0(3(z0))))), 1'(0(0(3(z0)))), 0'(0(3(z0))), 0'(3(z0)), 3'(z0))
   1'(c_4(c_1(c_3(c_0(c_1(c_1(c_1(c_1(c_0(c_4(c_0(c_0(c_3(c_0(c_3(c_2(c_4(c_3(c_4(z0)))))))))))))))))))) -> c34(1'(4(4(0(4(0(0(2(4(0(4(3(2(1(2(4(2(4(3(1(z0)))))))))))))))))))), 4'(4(0(4(0(0(2(4(0(4(3(2(1(2(4(2(4(3(1(z0))))))))))))))))))), 4'(0(4(0(0(2(4(0(4(3(2(1(2(4(2(4(3(1(z0)))))))))))))))))), 0'(4(0(0(2(4(0(4(3(2(1(2(4(2(4(3(1(z0))))))))))))))))), 4'(0(0(2(4(0(4(3(2(1(2(4(2(4(3(1(z0)))))))))))))))), 0'(0(2(4(0(4(3(2(1(2(4(2(4(3(1(z0))))))))))))))), 0'(2(4(0(4(3(2(1(2(4(2(4(3(1(z0)))))))))))))), 2'(4(0(4(3(2(1(2(4(2(4(3(1(z0))))))))))))), 4'(0(4(3(2(1(2(4(2(4(3(1(z0)))))))))))), 0'(4(3(2(1(2(4(2(4(3(1(z0))))))))))), 4'(3(2(1(2(4(2(4(3(1(z0)))))))))), 3'(2(1(2(4(2(4(3(1(z0))))))))), 2'(1(2(4(2(4(3(1(z0)))))))), 1'(2(4(2(4(3(1(z0))))))), 2'(4(2(4(3(1(z0)))))), 4'(2(4(3(1(z0))))), 2'(4(3(1(z0)))), 4'(3(1(z0))), 3'(1(z0)), 1'(z0))
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   1'(c_3(c_4(c_3(c_0(c_3(c_1(c_4(c_3(c_2(c_4(c_0(c_1(c_0(c_0(c_1(c_3(c_3(c_1(c_1(z0)))))))))))))))))))) -> c38(1'(2(2(4(3(1(4(4(3(1(1(0(3(3(0(3(0(1(0(4(z0)))))))))))))))))))), 2'(2(4(3(1(4(4(3(1(1(0(3(3(0(3(0(1(0(4(z0))))))))))))))))))), 2'(4(3(1(4(4(3(1(1(0(3(3(0(3(0(1(0(4(z0)))))))))))))))))), 4'(3(1(4(4(3(1(1(0(3(3(0(3(0(1(0(4(z0))))))))))))))))), 3'(1(4(4(3(1(1(0(3(3(0(3(0(1(0(4(z0)))))))))))))))), 1'(4(4(3(1(1(0(3(3(0(3(0(1(0(4(z0))))))))))))))), 4'(4(3(1(1(0(3(3(0(3(0(1(0(4(z0)))))))))))))), 4'(3(1(1(0(3(3(0(3(0(1(0(4(z0))))))))))))), 3'(1(1(0(3(3(0(3(0(1(0(4(z0)))))))))))), 1'(1(0(3(3(0(3(0(1(0(4(z0))))))))))), 1'(0(3(3(0(3(0(1(0(4(z0)))))))))), 0'(3(3(0(3(0(1(0(4(z0))))))))), 3'(3(0(3(0(1(0(4(z0)))))))), 3'(0(3(0(1(0(4(z0))))))), 0'(3(0(1(0(4(z0)))))), 3'(0(1(0(4(z0))))), 0'(1(0(4(z0)))), 1'(0(4(z0))), 0'(4(z0)), 4'(z0))
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   1'(c_2(c_0(c_3(c_1(c_0(c_2(c_0(c_4(c_1(c_4(c_4(c_2(c_4(c_0(c_4(c_3(c_4(c_4(c_3(z0)))))))))))))))))))) -> c41(2'(1(4(4(4(1(4(1(1(2(4(1(1(2(2(1(1(0(0(0(z0)))))))))))))))))))), 1'(4(4(4(1(4(1(1(2(4(1(1(2(2(1(1(0(0(0(z0))))))))))))))))))), 4'(4(4(1(4(1(1(2(4(1(1(2(2(1(1(0(0(0(z0)))))))))))))))))), 4'(4(1(4(1(1(2(4(1(1(2(2(1(1(0(0(0(z0))))))))))))))))), 4'(1(4(1(1(2(4(1(1(2(2(1(1(0(0(0(z0)))))))))))))))), 1'(4(1(1(2(4(1(1(2(2(1(1(0(0(0(z0))))))))))))))), 4'(1(1(2(4(1(1(2(2(1(1(0(0(0(z0)))))))))))))), 1'(1(2(4(1(1(2(2(1(1(0(0(0(z0))))))))))))), 1'(2(4(1(1(2(2(1(1(0(0(0(z0)))))))))))), 2'(4(1(1(2(2(1(1(0(0(0(z0))))))))))), 4'(1(1(2(2(1(1(0(0(0(z0)))))))))), 1'(1(2(2(1(1(0(0(0(z0))))))))), 1'(2(2(1(1(0(0(0(z0)))))))), 2'(2(1(1(0(0(0(z0))))))), 2'(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))
   1'(c_4(c_2(c_3(c_1(c_4(c_2(c_2(c_0(c_4(c_2(c_3(c_0(c_1(c_3(c_2(c_1(c_3(c_3(c_4(z0)))))))))))))))))))) -> c42(1'(4(1(3(4(3(0(1(4(0(2(1(0(1(1(0(3(1(2(2(z0)))))))))))))))))))), 4'(1(3(4(3(0(1(4(0(2(1(0(1(1(0(3(1(2(2(z0))))))))))))))))))), 1'(3(4(3(0(1(4(0(2(1(0(1(1(0(3(1(2(2(z0)))))))))))))))))), 3'(4(3(0(1(4(0(2(1(0(1(1(0(3(1(2(2(z0))))))))))))))))), 4'(3(0(1(4(0(2(1(0(1(1(0(3(1(2(2(z0)))))))))))))))), 3'(0(1(4(0(2(1(0(1(1(0(3(1(2(2(z0))))))))))))))), 0'(1(4(0(2(1(0(1(1(0(3(1(2(2(z0)))))))))))))), 1'(4(0(2(1(0(1(1(0(3(1(2(2(z0))))))))))))), 4'(0(2(1(0(1(1(0(3(1(2(2(z0)))))))))))), 0'(2(1(0(1(1(0(3(1(2(2(z0))))))))))), 2'(1(0(1(1(0(3(1(2(2(z0)))))))))), 1'(0(1(1(0(3(1(2(2(z0))))))))), 0'(1(1(0(3(1(2(2(z0)))))))), 1'(1(0(3(1(2(2(z0))))))), 1'(0(3(1(2(2(z0)))))), 0'(3(1(2(2(z0))))), 3'(1(2(2(z0)))), 1'(2(2(z0))), 2'(2(z0)), 2'(z0))
   2'(z0) -> c43
   2'(c_1(c_3(c_3(c_4(c_1(c_4(c_0(c_4(c_0(c_3(c_0(c_0(c_2(c_4(c_1(c_4(c_0(c_0(c_3(z0)))))))))))))))))))) -> c44(1'(0(0(4(3(3(0(3(2(2(4(3(2(2(1(1(3(1(4(1(z0)))))))))))))))))))), 0'(0(4(3(3(0(3(2(2(4(3(2(2(1(1(3(1(4(1(z0))))))))))))))))))), 0'(4(3(3(0(3(2(2(4(3(2(2(1(1(3(1(4(1(z0)))))))))))))))))), 4'(3(3(0(3(2(2(4(3(2(2(1(1(3(1(4(1(z0))))))))))))))))), 3'(3(0(3(2(2(4(3(2(2(1(1(3(1(4(1(z0)))))))))))))))), 3'(0(3(2(2(4(3(2(2(1(1(3(1(4(1(z0))))))))))))))), 0'(3(2(2(4(3(2(2(1(1(3(1(4(1(z0)))))))))))))), 3'(2(2(4(3(2(2(1(1(3(1(4(1(z0))))))))))))), 2'(2(4(3(2(2(1(1(3(1(4(1(z0)))))))))))), 2'(4(3(2(2(1(1(3(1(4(1(z0))))))))))), 4'(3(2(2(1(1(3(1(4(1(z0)))))))))), 3'(2(2(1(1(3(1(4(1(z0))))))))), 2'(2(1(1(3(1(4(1(z0)))))))), 2'(1(1(3(1(4(1(z0))))))), 1'(1(3(1(4(1(z0)))))), 1'(3(1(4(1(z0))))), 3'(1(4(1(z0)))), 1'(4(1(z0))), 4'(1(z0)), 1'(z0))
   2'(c_4(c_2(c_3(c_0(c_2(c_3(c_2(c_2(c_3(c_2(c_1(c_0(c_3(c_4(c_1(c_3(c_1(c_0(c_1(z0)))))))))))))))))))) -> c45(1'(3(0(4(4(1(3(2(1(0(2(4(1(0(2(2(0(4(4(1(z0)))))))))))))))))))), 3'(0(4(4(1(3(2(1(0(2(4(1(0(2(2(0(4(4(1(z0))))))))))))))))))), 0'(4(4(1(3(2(1(0(2(4(1(0(2(2(0(4(4(1(z0)))))))))))))))))), 4'(4(1(3(2(1(0(2(4(1(0(2(2(0(4(4(1(z0))))))))))))))))), 4'(1(3(2(1(0(2(4(1(0(2(2(0(4(4(1(z0)))))))))))))))), 1'(3(2(1(0(2(4(1(0(2(2(0(4(4(1(z0))))))))))))))), 3'(2(1(0(2(4(1(0(2(2(0(4(4(1(z0)))))))))))))), 2'(1(0(2(4(1(0(2(2(0(4(4(1(z0))))))))))))), 1'(0(2(4(1(0(2(2(0(4(4(1(z0)))))))))))), 0'(2(4(1(0(2(2(0(4(4(1(z0))))))))))), 2'(4(1(0(2(2(0(4(4(1(z0)))))))))), 4'(1(0(2(2(0(4(4(1(z0))))))))), 1'(0(2(2(0(4(4(1(z0)))))))), 0'(2(2(0(4(4(1(z0))))))), 2'(2(0(4(4(1(z0)))))), 2'(0(4(4(1(z0))))), 0'(4(4(1(z0)))), 4'(4(1(z0))), 4'(1(z0)), 1'(z0))
   2'(c_2(c_2(c_0(c_0(c_0(c_3(c_4(c_4(c_0(c_2(c_1(c_2(c_0(c_0(c_2(c_0(c_3(c_0(c_0(z0)))))))))))))))))))) -> c46(4'(2(3(4(0(4(2(1(0(3(1(1(1(3(0(0(3(1(2(0(z0)))))))))))))))))))), 2'(3(4(0(4(2(1(0(3(1(1(1(3(0(0(3(1(2(0(z0))))))))))))))))))), 3'(4(0(4(2(1(0(3(1(1(1(3(0(0(3(1(2(0(z0)))))))))))))))))), 4'(0(4(2(1(0(3(1(1(1(3(0(0(3(1(2(0(z0))))))))))))))))), 0'(4(2(1(0(3(1(1(1(3(0(0(3(1(2(0(z0)))))))))))))))), 4'(2(1(0(3(1(1(1(3(0(0(3(1(2(0(z0))))))))))))))), 2'(1(0(3(1(1(1(3(0(0(3(1(2(0(z0)))))))))))))), 1'(0(3(1(1(1(3(0(0(3(1(2(0(z0))))))))))))), 0'(3(1(1(1(3(0(0(3(1(2(0(z0)))))))))))), 3'(1(1(1(3(0(0(3(1(2(0(z0))))))))))), 1'(1(1(3(0(0(3(1(2(0(z0)))))))))), 1'(1(3(0(0(3(1(2(0(z0))))))))), 1'(3(0(0(3(1(2(0(z0)))))))), 3'(0(0(3(1(2(0(z0))))))), 0'(0(3(1(2(0(z0)))))), 0'(3(1(2(0(z0))))), 3'(1(2(0(z0)))), 1'(2(0(z0))), 2'(0(z0)), 0'(z0))
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   3'(z0) -> c64
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   3'(c_1(c_0(c_0(c_1(c_0(c_4(c_4(c_1(c_0(c_1(c_2(c_4(c_0(c_2(c_1(c_3(c_0(c_2(c_0(z0)))))))))))))))))))) -> c66(4'(4(3(2(4(2(1(2(0(0(1(4(2(3(0(0(1(0(1(4(z0)))))))))))))))))))), 4'(3(2(4(2(1(2(0(0(1(4(2(3(0(0(1(0(1(4(z0))))))))))))))))))), 3'(2(4(2(1(2(0(0(1(4(2(3(0(0(1(0(1(4(z0)))))))))))))))))), 2'(4(2(1(2(0(0(1(4(2(3(0(0(1(0(1(4(z0))))))))))))))))), 4'(2(1(2(0(0(1(4(2(3(0(0(1(0(1(4(z0)))))))))))))))), 2'(1(2(0(0(1(4(2(3(0(0(1(0(1(4(z0))))))))))))))), 1'(2(0(0(1(4(2(3(0(0(1(0(1(4(z0)))))))))))))), 2'(0(0(1(4(2(3(0(0(1(0(1(4(z0))))))))))))), 0'(0(1(4(2(3(0(0(1(0(1(4(z0)))))))))))), 0'(1(4(2(3(0(0(1(0(1(4(z0))))))))))), 1'(4(2(3(0(0(1(0(1(4(z0)))))))))), 4'(2(3(0(0(1(0(1(4(z0))))))))), 2'(3(0(0(1(0(1(4(z0)))))))), 3'(0(0(1(0(1(4(z0))))))), 0'(0(1(0(1(4(z0)))))), 0'(1(0(1(4(z0))))), 1'(0(1(4(z0)))), 0'(1(4(z0))), 1'(4(z0)), 4'(z0))
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   3'(c_3(c_0(c_3(c_0(c_4(c_2(c_0(c_1(c_3(c_3(c_4(c_1(c_0(c_3(c_2(c_2(c_1(c_1(c_1(z0)))))))))))))))))))) -> c68(4'(0(1(3(1(2(1(0(1(1(2(3(0(4(3(3(1(3(0(1(z0)))))))))))))))))))), 0'(1(3(1(2(1(0(1(1(2(3(0(4(3(3(1(3(0(1(z0))))))))))))))))))), 1'(3(1(2(1(0(1(1(2(3(0(4(3(3(1(3(0(1(z0)))))))))))))))))), 3'(1(2(1(0(1(1(2(3(0(4(3(3(1(3(0(1(z0))))))))))))))))), 1'(2(1(0(1(1(2(3(0(4(3(3(1(3(0(1(z0)))))))))))))))), 2'(1(0(1(1(2(3(0(4(3(3(1(3(0(1(z0))))))))))))))), 1'(0(1(1(2(3(0(4(3(3(1(3(0(1(z0)))))))))))))), 0'(1(1(2(3(0(4(3(3(1(3(0(1(z0))))))))))))), 1'(1(2(3(0(4(3(3(1(3(0(1(z0)))))))))))), 1'(2(3(0(4(3(3(1(3(0(1(z0))))))))))), 2'(3(0(4(3(3(1(3(0(1(z0)))))))))), 3'(0(4(3(3(1(3(0(1(z0))))))))), 0'(4(3(3(1(3(0(1(z0)))))))), 4'(3(3(1(3(0(1(z0))))))), 3'(3(1(3(0(1(z0)))))), 3'(1(3(0(1(z0))))), 1'(3(0(1(z0)))), 3'(0(1(z0))), 0'(1(z0)), 1'(z0))
   3'(c_3(c_1(c_1(c_2(c_2(c_4(c_2(c_1(c_4(c_3(c_3(c_4(c_3(c_1(c_0(c_0(c_2(c_1(c_1(z0)))))))))))))))))))) -> c69(2'(2(2(0(3(1(1(1(4(1(0(3(1(2(1(4(1(3(1(1(z0)))))))))))))))))))), 2'(2(0(3(1(1(1(4(1(0(3(1(2(1(4(1(3(1(1(z0))))))))))))))))))), 2'(0(3(1(1(1(4(1(0(3(1(2(1(4(1(3(1(1(z0)))))))))))))))))), 0'(3(1(1(1(4(1(0(3(1(2(1(4(1(3(1(1(z0))))))))))))))))), 3'(1(1(1(4(1(0(3(1(2(1(4(1(3(1(1(z0)))))))))))))))), 1'(1(1(4(1(0(3(1(2(1(4(1(3(1(1(z0))))))))))))))), 1'(1(4(1(0(3(1(2(1(4(1(3(1(1(z0)))))))))))))), 1'(4(1(0(3(1(2(1(4(1(3(1(1(z0))))))))))))), 4'(1(0(3(1(2(1(4(1(3(1(1(z0)))))))))))), 1'(0(3(1(2(1(4(1(3(1(1(z0))))))))))), 0'(3(1(2(1(4(1(3(1(1(z0)))))))))), 3'(1(2(1(4(1(3(1(1(z0))))))))), 1'(2(1(4(1(3(1(1(z0)))))))), 2'(1(4(1(3(1(1(z0))))))), 1'(4(1(3(1(1(z0)))))), 4'(1(3(1(1(z0))))), 1'(3(1(1(z0)))), 3'(1(1(z0))), 1'(1(z0)), 1'(z0))
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   3'(c_0(c_3(c_0(c_0(c_1(c_3(c_2(c_4(c_4(c_4(c_0(c_3(c_0(c_1(c_4(c_1(c_2(c_4(c_3(z0)))))))))))))))))))) -> c84(2'(2(3(2(1(0(2(0(0(2(0(4(0(4(0(4(3(2(2(3(z0)))))))))))))))))))), 2'(3(2(1(0(2(0(0(2(0(4(0(4(0(4(3(2(2(3(z0))))))))))))))))))), 3'(2(1(0(2(0(0(2(0(4(0(4(0(4(3(2(2(3(z0)))))))))))))))))), 2'(1(0(2(0(0(2(0(4(0(4(0(4(3(2(2(3(z0))))))))))))))))), 1'(0(2(0(0(2(0(4(0(4(0(4(3(2(2(3(z0)))))))))))))))), 0'(2(0(0(2(0(4(0(4(0(4(3(2(2(3(z0))))))))))))))), 2'(0(0(2(0(4(0(4(0(4(3(2(2(3(z0)))))))))))))), 0'(0(2(0(4(0(4(0(4(3(2(2(3(z0))))))))))))), 0'(2(0(4(0(4(0(4(3(2(2(3(z0)))))))))))), 2'(0(4(0(4(0(4(3(2(2(3(z0))))))))))), 0'(4(0(4(0(4(3(2(2(3(z0)))))))))), 4'(0(4(0(4(3(2(2(3(z0))))))))), 0'(4(0(4(3(2(2(3(z0)))))))), 4'(0(4(3(2(2(3(z0))))))), 0'(4(3(2(2(3(z0)))))), 4'(3(2(2(3(z0))))), 3'(2(2(3(z0)))), 2'(2(3(z0))), 2'(3(z0)), 3'(z0))
   3'(c_4(c_4(c_0(c_0(c_0(c_0(c_3(c_2(c_2(c_2(c_1(c_4(c_4(c_4(c_1(c_2(c_4(c_0(c_3(z0)))))))))))))))))))) -> c85(1'(1(4(0(0(2(0(1(2(2(2(2(0(1(3(1(0(2(0(0(z0)))))))))))))))))))), 1'(4(0(0(2(0(1(2(2(2(2(0(1(3(1(0(2(0(0(z0))))))))))))))))))), 4'(0(0(2(0(1(2(2(2(2(0(1(3(1(0(2(0(0(z0)))))))))))))))))), 0'(0(2(0(1(2(2(2(2(0(1(3(1(0(2(0(0(z0))))))))))))))))), 0'(2(0(1(2(2(2(2(0(1(3(1(0(2(0(0(z0)))))))))))))))), 2'(0(1(2(2(2(2(0(1(3(1(0(2(0(0(z0))))))))))))))), 0'(1(2(2(2(2(0(1(3(1(0(2(0(0(z0)))))))))))))), 1'(2(2(2(2(0(1(3(1(0(2(0(0(z0))))))))))))), 2'(2(2(2(0(1(3(1(0(2(0(0(z0)))))))))))), 2'(2(2(0(1(3(1(0(2(0(0(z0))))))))))), 2'(2(0(1(3(1(0(2(0(0(z0)))))))))), 2'(0(1(3(1(0(2(0(0(z0))))))))), 0'(1(3(1(0(2(0(0(z0)))))))), 1'(3(1(0(2(0(0(z0))))))), 3'(1(0(2(0(0(z0)))))), 1'(0(2(0(0(z0))))), 0'(2(0(0(z0)))), 2'(0(0(z0))), 0'(0(z0)), 0'(z0))
   3'(c_0(c_1(c_4(c_2(c_2(c_1(c_1(c_2(c_4(c_4(c_1(c_1(c_1(c_3(c_1(c_1(c_3(c_3(c_3(z0)))))))))))))))))))) -> c86(3'(3(4(2(1(1(3(1(2(1(2(2(1(3(4(1(4(2(4(2(z0)))))))))))))))))))), 3'(4(2(1(1(3(1(2(1(2(2(1(3(4(1(4(2(4(2(z0))))))))))))))))))), 4'(2(1(1(3(1(2(1(2(2(1(3(4(1(4(2(4(2(z0)))))))))))))))))), 2'(1(1(3(1(2(1(2(2(1(3(4(1(4(2(4(2(z0))))))))))))))))), 1'(1(3(1(2(1(2(2(1(3(4(1(4(2(4(2(z0)))))))))))))))), 1'(3(1(2(1(2(2(1(3(4(1(4(2(4(2(z0))))))))))))))), 3'(1(2(1(2(2(1(3(4(1(4(2(4(2(z0)))))))))))))), 1'(2(1(2(2(1(3(4(1(4(2(4(2(z0))))))))))))), 2'(1(2(2(1(3(4(1(4(2(4(2(z0)))))))))))), 1'(2(2(1(3(4(1(4(2(4(2(z0))))))))))), 2'(2(1(3(4(1(4(2(4(2(z0)))))))))), 2'(1(3(4(1(4(2(4(2(z0))))))))), 1'(3(4(1(4(2(4(2(z0)))))))), 3'(4(1(4(2(4(2(z0))))))), 4'(1(4(2(4(2(z0)))))), 1'(4(2(4(2(z0))))), 4'(2(4(2(z0)))), 2'(4(2(z0))), 4'(2(z0)), 2'(z0))
   3'(c_1(c_4(c_4(c_1(c_4(c_3(c_4(c_0(c_3(c_0(c_2(c_0(c_3(c_2(c_1(c_2(c_3(c_2(c_4(z0)))))))))))))))))))) -> c87(2'(0(3(1(2(3(1(2(1(2(1(3(3(4(2(0(0(2(2(1(z0)))))))))))))))))))), 0'(3(1(2(3(1(2(1(2(1(3(3(4(2(0(0(2(2(1(z0))))))))))))))))))), 3'(1(2(3(1(2(1(2(1(3(3(4(2(0(0(2(2(1(z0)))))))))))))))))), 1'(2(3(1(2(1(2(1(3(3(4(2(0(0(2(2(1(z0))))))))))))))))), 2'(3(1(2(1(2(1(3(3(4(2(0(0(2(2(1(z0)))))))))))))))), 3'(1(2(1(2(1(3(3(4(2(0(0(2(2(1(z0))))))))))))))), 1'(2(1(2(1(3(3(4(2(0(0(2(2(1(z0)))))))))))))), 2'(1(2(1(3(3(4(2(0(0(2(2(1(z0))))))))))))), 1'(2(1(3(3(4(2(0(0(2(2(1(z0)))))))))))), 2'(1(3(3(4(2(0(0(2(2(1(z0))))))))))), 1'(3(3(4(2(0(0(2(2(1(z0)))))))))), 3'(3(4(2(0(0(2(2(1(z0))))))))), 3'(4(2(0(0(2(2(1(z0)))))))), 4'(2(0(0(2(2(1(z0))))))), 2'(0(0(2(2(1(z0)))))), 0'(0(2(2(1(z0))))), 0'(2(2(1(z0)))), 2'(2(1(z0))), 2'(1(z0)), 1'(z0))
   3'(c_3(c_3(c_4(c_2(c_3(c_3(c_0(c_1(c_3(c_4(c_4(c_4(c_0(c_4(c_2(c_2(c_4(c_0(c_2(z0)))))))))))))))))))) -> c88(3'(4(3(4(1(3(4(2(2(2(2(0(4(1(3(3(1(1(4(4(z0)))))))))))))))))))), 4'(3(4(1(3(4(2(2(2(2(0(4(1(3(3(1(1(4(4(z0))))))))))))))))))), 3'(4(1(3(4(2(2(2(2(0(4(1(3(3(1(1(4(4(z0)))))))))))))))))), 4'(1(3(4(2(2(2(2(0(4(1(3(3(1(1(4(4(z0))))))))))))))))), 1'(3(4(2(2(2(2(0(4(1(3(3(1(1(4(4(z0)))))))))))))))), 3'(4(2(2(2(2(0(4(1(3(3(1(1(4(4(z0))))))))))))))), 4'(2(2(2(2(0(4(1(3(3(1(1(4(4(z0)))))))))))))), 2'(2(2(2(0(4(1(3(3(1(1(4(4(z0))))))))))))), 2'(2(2(0(4(1(3(3(1(1(4(4(z0)))))))))))), 2'(2(0(4(1(3(3(1(1(4(4(z0))))))))))), 2'(0(4(1(3(3(1(1(4(4(z0)))))))))), 0'(4(1(3(3(1(1(4(4(z0))))))))), 4'(1(3(3(1(1(4(4(z0)))))))), 1'(3(3(1(1(4(4(z0))))))), 3'(3(1(1(4(4(z0)))))), 3'(1(1(4(4(z0))))), 1'(1(4(4(z0)))), 1'(4(4(z0))), 4'(4(z0)), 4'(z0))
   4'(z0) -> c89
   4'(c_1(c_3(c_2(c_2(c_4(c_4(c_2(c_0(c_0(c_3(c_2(c_3(c_1(c_1(c_3(c_2(c_3(c_3(c_1(z0)))))))))))))))))))) -> c90(3'(2(1(2(1(3(2(1(3(2(3(2(1(1(2(1(2(3(4(3(z0)))))))))))))))))))), 2'(1(2(1(3(2(1(3(2(3(2(1(1(2(1(2(3(4(3(z0))))))))))))))))))), 1'(2(1(3(2(1(3(2(3(2(1(1(2(1(2(3(4(3(z0)))))))))))))))))), 2'(1(3(2(1(3(2(3(2(1(1(2(1(2(3(4(3(z0))))))))))))))))), 1'(3(2(1(3(2(3(2(1(1(2(1(2(3(4(3(z0)))))))))))))))), 3'(2(1(3(2(3(2(1(1(2(1(2(3(4(3(z0))))))))))))))), 2'(1(3(2(3(2(1(1(2(1(2(3(4(3(z0)))))))))))))), 1'(3(2(3(2(1(1(2(1(2(3(4(3(z0))))))))))))), 3'(2(3(2(1(1(2(1(2(3(4(3(z0)))))))))))), 2'(3(2(1(1(2(1(2(3(4(3(z0))))))))))), 3'(2(1(1(2(1(2(3(4(3(z0)))))))))), 2'(1(1(2(1(2(3(4(3(z0))))))))), 1'(1(2(1(2(3(4(3(z0)))))))), 1'(2(1(2(3(4(3(z0))))))), 2'(1(2(3(4(3(z0)))))), 1'(2(3(4(3(z0))))), 2'(3(4(3(z0)))), 3'(4(3(z0))), 4'(3(z0)), 3'(z0))
   4'(c_0(c_3(c_0(c_3(c_1(c_1(c_2(c_0(c_4(c_3(c_0(c_4(c_3(c_1(c_0(c_0(c_4(c_2(c_4(z0)))))))))))))))))))) -> c91(2'(4(4(4(4(2(2(2(2(4(3(2(2(3(4(1(2(0(1(3(z0)))))))))))))))))))), 4'(4(4(4(2(2(2(2(4(3(2(2(3(4(1(2(0(1(3(z0))))))))))))))))))), 4'(4(4(2(2(2(2(4(3(2(2(3(4(1(2(0(1(3(z0)))))))))))))))))), 4'(4(2(2(2(2(4(3(2(2(3(4(1(2(0(1(3(z0))))))))))))))))), 4'(2(2(2(2(4(3(2(2(3(4(1(2(0(1(3(z0)))))))))))))))), 2'(2(2(2(4(3(2(2(3(4(1(2(0(1(3(z0))))))))))))))), 2'(2(2(4(3(2(2(3(4(1(2(0(1(3(z0)))))))))))))), 2'(2(4(3(2(2(3(4(1(2(0(1(3(z0))))))))))))), 2'(4(3(2(2(3(4(1(2(0(1(3(z0)))))))))))), 4'(3(2(2(3(4(1(2(0(1(3(z0))))))))))), 3'(2(2(3(4(1(2(0(1(3(z0)))))))))), 2'(2(3(4(1(2(0(1(3(z0))))))))), 2'(3(4(1(2(0(1(3(z0)))))))), 3'(4(1(2(0(1(3(z0))))))), 4'(1(2(0(1(3(z0)))))), 1'(2(0(1(3(z0))))), 2'(0(1(3(z0)))), 0'(1(3(z0))), 1'(3(z0)), 3'(z0))
   4'(c_3(c_4(c_3(c_4(c_4(c_3(c_0(c_3(c_3(c_2(c_2(c_3(c_1(c_3(c_2(c_2(c_3(c_4(c_1(z0)))))))))))))))))))) -> c92(4'(1(0(0(4(3(4(1(2(4(3(3(2(1(3(4(1(0(3(1(z0)))))))))))))))))))), 1'(0(0(4(3(4(1(2(4(3(3(2(1(3(4(1(0(3(1(z0))))))))))))))))))), 0'(0(4(3(4(1(2(4(3(3(2(1(3(4(1(0(3(1(z0)))))))))))))))))), 0'(4(3(4(1(2(4(3(3(2(1(3(4(1(0(3(1(z0))))))))))))))))), 4'(3(4(1(2(4(3(3(2(1(3(4(1(0(3(1(z0)))))))))))))))), 3'(4(1(2(4(3(3(2(1(3(4(1(0(3(1(z0))))))))))))))), 4'(1(2(4(3(3(2(1(3(4(1(0(3(1(z0)))))))))))))), 1'(2(4(3(3(2(1(3(4(1(0(3(1(z0))))))))))))), 2'(4(3(3(2(1(3(4(1(0(3(1(z0)))))))))))), 4'(3(3(2(1(3(4(1(0(3(1(z0))))))))))), 3'(3(2(1(3(4(1(0(3(1(z0)))))))))), 3'(2(1(3(4(1(0(3(1(z0))))))))), 2'(1(3(4(1(0(3(1(z0)))))))), 1'(3(4(1(0(3(1(z0))))))), 3'(4(1(0(3(1(z0)))))), 4'(1(0(3(1(z0))))), 1'(0(3(1(z0)))), 0'(3(1(z0))), 3'(1(z0)), 1'(z0))
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   4'(c_0(c_2(c_1(c_3(c_3(c_4(c_4(c_0(c_0(c_0(c_3(c_2(c_3(c_4(c_4(c_4(c_3(c_2(c_3(z0)))))))))))))))))))) -> c106(4'(0(2(1(4(0(2(0(0(4(0(4(1(0(2(3(4(4(1(2(z0)))))))))))))))))))), 0'(2(1(4(0(2(0(0(4(0(4(1(0(2(3(4(4(1(2(z0))))))))))))))))))), 2'(1(4(0(2(0(0(4(0(4(1(0(2(3(4(4(1(2(z0)))))))))))))))))), 1'(4(0(2(0(0(4(0(4(1(0(2(3(4(4(1(2(z0))))))))))))))))), 4'(0(2(0(0(4(0(4(1(0(2(3(4(4(1(2(z0)))))))))))))))), 0'(2(0(0(4(0(4(1(0(2(3(4(4(1(2(z0))))))))))))))), 2'(0(0(4(0(4(1(0(2(3(4(4(1(2(z0)))))))))))))), 0'(0(4(0(4(1(0(2(3(4(4(1(2(z0))))))))))))), 0'(4(0(4(1(0(2(3(4(4(1(2(z0)))))))))))), 4'(0(4(1(0(2(3(4(4(1(2(z0))))))))))), 0'(4(1(0(2(3(4(4(1(2(z0)))))))))), 4'(1(0(2(3(4(4(1(2(z0))))))))), 1'(0(2(3(4(4(1(2(z0)))))))), 0'(2(3(4(4(1(2(z0))))))), 2'(3(4(4(1(2(z0)))))), 3'(4(4(1(2(z0))))), 4'(4(1(2(z0)))), 4'(1(2(z0))), 1'(2(z0)), 2'(z0))
   4'(c_1(c_1(c_0(c_3(c_0(c_1(c_3(c_0(c_4(c_4(c_2(c_1(c_2(c_4(c_2(c_0(c_0(c_3(c_0(z0)))))))))))))))))))) -> c107(2'(3(2(0(1(4(4(4(3(2(3(3(1(4(3(4(2(0(1(3(z0)))))))))))))))))))), 3'(2(0(1(4(4(4(3(2(3(3(1(4(3(4(2(0(1(3(z0))))))))))))))))))), 2'(0(1(4(4(4(3(2(3(3(1(4(3(4(2(0(1(3(z0)))))))))))))))))), 0'(1(4(4(4(3(2(3(3(1(4(3(4(2(0(1(3(z0))))))))))))))))), 1'(4(4(4(3(2(3(3(1(4(3(4(2(0(1(3(z0)))))))))))))))), 4'(4(4(3(2(3(3(1(4(3(4(2(0(1(3(z0))))))))))))))), 4'(4(3(2(3(3(1(4(3(4(2(0(1(3(z0)))))))))))))), 4'(3(2(3(3(1(4(3(4(2(0(1(3(z0))))))))))))), 3'(2(3(3(1(4(3(4(2(0(1(3(z0)))))))))))), 2'(3(3(1(4(3(4(2(0(1(3(z0))))))))))), 3'(3(1(4(3(4(2(0(1(3(z0)))))))))), 3'(1(4(3(4(2(0(1(3(z0))))))))), 1'(4(3(4(2(0(1(3(z0)))))))), 4'(3(4(2(0(1(3(z0))))))), 3'(4(2(0(1(3(z0)))))), 4'(2(0(1(3(z0))))), 2'(0(1(3(z0)))), 0'(1(3(z0))), 1'(3(z0)), 3'(z0))
   4'(c_3(c_3(c_2(c_2(c_1(c_3(c_4(c_4(c_2(c_4(c_2(c_3(c_0(c_0(c_2(c_2(c_3(c_2(c_4(z0)))))))))))))))))))) -> c108(3'(2(2(1(1(0(2(2(4(0(0(0(2(1(3(1(0(4(3(4(z0)))))))))))))))))))), 2'(2(1(1(0(2(2(4(0(0(0(2(1(3(1(0(4(3(4(z0))))))))))))))))))), 2'(1(1(0(2(2(4(0(0(0(2(1(3(1(0(4(3(4(z0)))))))))))))))))), 1'(1(0(2(2(4(0(0(0(2(1(3(1(0(4(3(4(z0))))))))))))))))), 1'(0(2(2(4(0(0(0(2(1(3(1(0(4(3(4(z0)))))))))))))))), 0'(2(2(4(0(0(0(2(1(3(1(0(4(3(4(z0))))))))))))))), 2'(2(4(0(0(0(2(1(3(1(0(4(3(4(z0)))))))))))))), 2'(4(0(0(0(2(1(3(1(0(4(3(4(z0))))))))))))), 4'(0(0(0(2(1(3(1(0(4(3(4(z0)))))))))))), 0'(0(0(2(1(3(1(0(4(3(4(z0))))))))))), 0'(0(2(1(3(1(0(4(3(4(z0)))))))))), 0'(2(1(3(1(0(4(3(4(z0))))))))), 2'(1(3(1(0(4(3(4(z0)))))))), 1'(3(1(0(4(3(4(z0))))))), 3'(1(0(4(3(4(z0)))))), 1'(0(4(3(4(z0))))), 0'(4(3(4(z0)))), 4'(3(4(z0))), 3'(4(z0)), 4'(z0))
   4'(c_1(c_0(c_2(c_0(c_3(c_2(c_1(c_1(c_3(c_1(c_1(c_0(c_1(c_1(c_2(c_0(c_0(c_4(c_4(z0)))))))))))))))))))) -> c109(2'(1(4(2(2(2(2(2(2(2(0(1(0(3(1(0(1(1(4(0(z0)))))))))))))))))))), 1'(4(2(2(2(2(2(2(2(0(1(0(3(1(0(1(1(4(0(z0))))))))))))))))))), 4'(2(2(2(2(2(2(2(0(1(0(3(1(0(1(1(4(0(z0)))))))))))))))))), 2'(2(2(2(2(2(2(0(1(0(3(1(0(1(1(4(0(z0))))))))))))))))), 2'(2(2(2(2(2(0(1(0(3(1(0(1(1(4(0(z0)))))))))))))))), 2'(2(2(2(2(0(1(0(3(1(0(1(1(4(0(z0))))))))))))))), 2'(2(2(2(0(1(0(3(1(0(1(1(4(0(z0)))))))))))))), 2'(2(2(0(1(0(3(1(0(1(1(4(0(z0))))))))))))), 2'(2(0(1(0(3(1(0(1(1(4(0(z0)))))))))))), 2'(0(1(0(3(1(0(1(1(4(0(z0))))))))))), 0'(1(0(3(1(0(1(1(4(0(z0)))))))))), 1'(0(3(1(0(1(1(4(0(z0))))))))), 0'(3(1(0(1(1(4(0(z0)))))))), 3'(1(0(1(1(4(0(z0))))))), 1'(0(1(1(4(0(z0)))))), 0'(1(1(4(0(z0))))), 1'(1(4(0(z0)))), 1'(4(0(z0))), 4'(0(z0)), 0'(z0))
   4'(c_1(c_1(c_1(c_2(c_2(c_3(c_3(c_3(c_4(c_4(c_0(c_2(c_0(c_2(c_1(c_0(c_1(c_0(c_0(z0)))))))))))))))))))) -> c110(1'(1(0(3(4(0(2(3(1(4(2(4(1(0(4(0(3(1(1(4(z0)))))))))))))))))))), 1'(0(3(4(0(2(3(1(4(2(4(1(0(4(0(3(1(1(4(z0))))))))))))))))))), 0'(3(4(0(2(3(1(4(2(4(1(0(4(0(3(1(1(4(z0)))))))))))))))))), 3'(4(0(2(3(1(4(2(4(1(0(4(0(3(1(1(4(z0))))))))))))))))), 4'(0(2(3(1(4(2(4(1(0(4(0(3(1(1(4(z0)))))))))))))))), 0'(2(3(1(4(2(4(1(0(4(0(3(1(1(4(z0))))))))))))))), 2'(3(1(4(2(4(1(0(4(0(3(1(1(4(z0)))))))))))))), 3'(1(4(2(4(1(0(4(0(3(1(1(4(z0))))))))))))), 1'(4(2(4(1(0(4(0(3(1(1(4(z0)))))))))))), 4'(2(4(1(0(4(0(3(1(1(4(z0))))))))))), 2'(4(1(0(4(0(3(1(1(4(z0)))))))))), 4'(1(0(4(0(3(1(1(4(z0))))))))), 1'(0(4(0(3(1(1(4(z0)))))))), 0'(4(0(3(1(1(4(z0))))))), 4'(0(3(1(1(4(z0)))))), 0'(3(1(1(4(z0))))), 3'(1(1(4(z0)))), 1'(1(4(z0))), 1'(4(z0)), 4'(z0))
   4'(c_4(c_1(c_1(c_2(c_0(c_1(c_0(c_2(c_2(c_1(c_0(c_0(c_1(c_0(c_0(c_1(c_1(c_3(c_2(z0)))))))))))))))))))) -> c111(3'(1(4(1(4(4(3(1(2(3(3(2(1(3(3(1(1(3(2(4(z0)))))))))))))))))))), 1'(4(1(4(4(3(1(2(3(3(2(1(3(3(1(1(3(2(4(z0))))))))))))))))))), 4'(1(4(4(3(1(2(3(3(2(1(3(3(1(1(3(2(4(z0)))))))))))))))))), 1'(4(4(3(1(2(3(3(2(1(3(3(1(1(3(2(4(z0))))))))))))))))), 4'(4(3(1(2(3(3(2(1(3(3(1(1(3(2(4(z0)))))))))))))))), 4'(3(1(2(3(3(2(1(3(3(1(1(3(2(4(z0))))))))))))))), 3'(1(2(3(3(2(1(3(3(1(1(3(2(4(z0)))))))))))))), 1'(2(3(3(2(1(3(3(1(1(3(2(4(z0))))))))))))), 2'(3(3(2(1(3(3(1(1(3(2(4(z0)))))))))))), 3'(3(2(1(3(3(1(1(3(2(4(z0))))))))))), 3'(2(1(3(3(1(1(3(2(4(z0)))))))))), 2'(1(3(3(1(1(3(2(4(z0))))))))), 1'(3(3(1(1(3(2(4(z0)))))))), 3'(3(1(1(3(2(4(z0))))))), 3'(1(1(3(2(4(z0)))))), 1'(1(3(2(4(z0))))), 1'(3(2(4(z0)))), 3'(2(4(z0))), 2'(4(z0)), 4'(z0))
   4'(c_4(c_3(c_4(c_4(c_2(c_4(c_1(c_1(c_0(c_2(c_3(c_1(c_0(c_3(c_1(c_2(c_2(c_4(c_0(z0)))))))))))))))))))) -> c112(1'(2(1(1(1(2(4(1(4(3(1(4(1(4(3(2(0(4(2(2(z0)))))))))))))))))))), 2'(1(1(1(2(4(1(4(3(1(4(1(4(3(2(0(4(2(2(z0))))))))))))))))))), 1'(1(1(2(4(1(4(3(1(4(1(4(3(2(0(4(2(2(z0)))))))))))))))))), 1'(1(2(4(1(4(3(1(4(1(4(3(2(0(4(2(2(z0))))))))))))))))), 1'(2(4(1(4(3(1(4(1(4(3(2(0(4(2(2(z0)))))))))))))))), 2'(4(1(4(3(1(4(1(4(3(2(0(4(2(2(z0))))))))))))))), 4'(1(4(3(1(4(1(4(3(2(0(4(2(2(z0)))))))))))))), 1'(4(3(1(4(1(4(3(2(0(4(2(2(z0))))))))))))), 4'(3(1(4(1(4(3(2(0(4(2(2(z0)))))))))))), 3'(1(4(1(4(3(2(0(4(2(2(z0))))))))))), 1'(4(1(4(3(2(0(4(2(2(z0)))))))))), 4'(1(4(3(2(0(4(2(2(z0))))))))), 1'(4(3(2(0(4(2(2(z0)))))))), 4'(3(2(0(4(2(2(z0))))))), 3'(2(0(4(2(2(z0)))))), 2'(0(4(2(2(z0))))), 0'(4(2(2(z0)))), 4'(2(2(z0))), 2'(2(z0)), 2'(z0))
   4'(c_0(c_4(c_3(c_0(c_0(c_2(c_1(c_2(c_2(c_0(c_3(c_0(c_3(c_1(c_1(c_1(c_3(c_3(c_3(z0)))))))))))))))))))) -> c113(4'(1(2(1(1(2(2(1(1(2(0(1(0(2(4(4(1(1(1(0(z0)))))))))))))))))))), 1'(2(1(1(2(2(1(1(2(0(1(0(2(4(4(1(1(1(0(z0))))))))))))))))))), 2'(1(1(2(2(1(1(2(0(1(0(2(4(4(1(1(1(0(z0)))))))))))))))))), 1'(1(2(2(1(1(2(0(1(0(2(4(4(1(1(1(0(z0))))))))))))))))), 1'(2(2(1(1(2(0(1(0(2(4(4(1(1(1(0(z0)))))))))))))))), 2'(2(1(1(2(0(1(0(2(4(4(1(1(1(0(z0))))))))))))))), 2'(1(1(2(0(1(0(2(4(4(1(1(1(0(z0)))))))))))))), 1'(1(2(0(1(0(2(4(4(1(1(1(0(z0))))))))))))), 1'(2(0(1(0(2(4(4(1(1(1(0(z0)))))))))))), 2'(0(1(0(2(4(4(1(1(1(0(z0))))))))))), 0'(1(0(2(4(4(1(1(1(0(z0)))))))))), 1'(0(2(4(4(1(1(1(0(z0))))))))), 0'(2(4(4(1(1(1(0(z0)))))))), 2'(4(4(1(1(1(0(z0))))))), 4'(4(1(1(1(0(z0)))))), 4'(1(1(1(0(z0))))), 1'(1(1(0(z0)))), 1'(1(0(z0))), 1'(0(z0)), 0'(z0))
S tuples:
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   4'(c_3(c_4(c_3(c_4(c_4(c_2(c_0(c_4(c_4(c_2(c_0(c_2(c_0(c_4(c_4(c_2(c_2(c_3(c_3(z0)))))))))))))))))))) -> c104(3'(4(0(1(3(0(0(4(3(1(2(2(3(1(3(4(2(2(0(3(z0)))))))))))))))))))), 4'(0(1(3(0(0(4(3(1(2(2(3(1(3(4(2(2(0(3(z0))))))))))))))))))), 0'(1(3(0(0(4(3(1(2(2(3(1(3(4(2(2(0(3(z0)))))))))))))))))), 1'(3(0(0(4(3(1(2(2(3(1(3(4(2(2(0(3(z0))))))))))))))))), 3'(0(0(4(3(1(2(2(3(1(3(4(2(2(0(3(z0)))))))))))))))), 0'(0(4(3(1(2(2(3(1(3(4(2(2(0(3(z0))))))))))))))), 0'(4(3(1(2(2(3(1(3(4(2(2(0(3(z0)))))))))))))), 4'(3(1(2(2(3(1(3(4(2(2(0(3(z0))))))))))))), 3'(1(2(2(3(1(3(4(2(2(0(3(z0)))))))))))), 1'(2(2(3(1(3(4(2(2(0(3(z0))))))))))), 2'(2(3(1(3(4(2(2(0(3(z0)))))))))), 2'(3(1(3(4(2(2(0(3(z0))))))))), 3'(1(3(4(2(2(0(3(z0)))))))), 1'(3(4(2(2(0(3(z0))))))), 3'(4(2(2(0(3(z0)))))), 4'(2(2(0(3(z0))))), 2'(2(0(3(z0)))), 2'(0(3(z0))), 0'(3(z0)), 3'(z0))
   4'(c_3(c_2(c_3(c_2(c_2(c_1(c_2(c_0(c_3(c_0(c_0(c_0(c_1(c_1(c_3(c_2(c_4(c_3(c_4(z0)))))))))))))))))))) -> c105(1'(3(1(4(0(2(1(0(0(1(3(4(0(3(3(4(2(1(2(1(z0)))))))))))))))))))), 3'(1(4(0(2(1(0(0(1(3(4(0(3(3(4(2(1(2(1(z0))))))))))))))))))), 1'(4(0(2(1(0(0(1(3(4(0(3(3(4(2(1(2(1(z0)))))))))))))))))), 4'(0(2(1(0(0(1(3(4(0(3(3(4(2(1(2(1(z0))))))))))))))))), 0'(2(1(0(0(1(3(4(0(3(3(4(2(1(2(1(z0)))))))))))))))), 2'(1(0(0(1(3(4(0(3(3(4(2(1(2(1(z0))))))))))))))), 1'(0(0(1(3(4(0(3(3(4(2(1(2(1(z0)))))))))))))), 0'(0(1(3(4(0(3(3(4(2(1(2(1(z0))))))))))))), 0'(1(3(4(0(3(3(4(2(1(2(1(z0)))))))))))), 1'(3(4(0(3(3(4(2(1(2(1(z0))))))))))), 3'(4(0(3(3(4(2(1(2(1(z0)))))))))), 4'(0(3(3(4(2(1(2(1(z0))))))))), 0'(3(3(4(2(1(2(1(z0)))))))), 3'(3(4(2(1(2(1(z0))))))), 3'(4(2(1(2(1(z0)))))), 4'(2(1(2(1(z0))))), 2'(1(2(1(z0)))), 1'(2(1(z0))), 2'(1(z0)), 1'(z0))
   4'(c_0(c_2(c_1(c_3(c_3(c_4(c_4(c_0(c_0(c_0(c_3(c_2(c_3(c_4(c_4(c_4(c_3(c_2(c_3(z0)))))))))))))))))))) -> c106(4'(0(2(1(4(0(2(0(0(4(0(4(1(0(2(3(4(4(1(2(z0)))))))))))))))))))), 0'(2(1(4(0(2(0(0(4(0(4(1(0(2(3(4(4(1(2(z0))))))))))))))))))), 2'(1(4(0(2(0(0(4(0(4(1(0(2(3(4(4(1(2(z0)))))))))))))))))), 1'(4(0(2(0(0(4(0(4(1(0(2(3(4(4(1(2(z0))))))))))))))))), 4'(0(2(0(0(4(0(4(1(0(2(3(4(4(1(2(z0)))))))))))))))), 0'(2(0(0(4(0(4(1(0(2(3(4(4(1(2(z0))))))))))))))), 2'(0(0(4(0(4(1(0(2(3(4(4(1(2(z0)))))))))))))), 0'(0(4(0(4(1(0(2(3(4(4(1(2(z0))))))))))))), 0'(4(0(4(1(0(2(3(4(4(1(2(z0)))))))))))), 4'(0(4(1(0(2(3(4(4(1(2(z0))))))))))), 0'(4(1(0(2(3(4(4(1(2(z0)))))))))), 4'(1(0(2(3(4(4(1(2(z0))))))))), 1'(0(2(3(4(4(1(2(z0)))))))), 0'(2(3(4(4(1(2(z0))))))), 2'(3(4(4(1(2(z0)))))), 3'(4(4(1(2(z0))))), 4'(4(1(2(z0)))), 4'(1(2(z0))), 1'(2(z0)), 2'(z0))
   4'(c_1(c_1(c_0(c_3(c_0(c_1(c_3(c_0(c_4(c_4(c_2(c_1(c_2(c_4(c_2(c_0(c_0(c_3(c_0(z0)))))))))))))))))))) -> c107(2'(3(2(0(1(4(4(4(3(2(3(3(1(4(3(4(2(0(1(3(z0)))))))))))))))))))), 3'(2(0(1(4(4(4(3(2(3(3(1(4(3(4(2(0(1(3(z0))))))))))))))))))), 2'(0(1(4(4(4(3(2(3(3(1(4(3(4(2(0(1(3(z0)))))))))))))))))), 0'(1(4(4(4(3(2(3(3(1(4(3(4(2(0(1(3(z0))))))))))))))))), 1'(4(4(4(3(2(3(3(1(4(3(4(2(0(1(3(z0)))))))))))))))), 4'(4(4(3(2(3(3(1(4(3(4(2(0(1(3(z0))))))))))))))), 4'(4(3(2(3(3(1(4(3(4(2(0(1(3(z0)))))))))))))), 4'(3(2(3(3(1(4(3(4(2(0(1(3(z0))))))))))))), 3'(2(3(3(1(4(3(4(2(0(1(3(z0)))))))))))), 2'(3(3(1(4(3(4(2(0(1(3(z0))))))))))), 3'(3(1(4(3(4(2(0(1(3(z0)))))))))), 3'(1(4(3(4(2(0(1(3(z0))))))))), 1'(4(3(4(2(0(1(3(z0)))))))), 4'(3(4(2(0(1(3(z0))))))), 3'(4(2(0(1(3(z0)))))), 4'(2(0(1(3(z0))))), 2'(0(1(3(z0)))), 0'(1(3(z0))), 1'(3(z0)), 3'(z0))
   4'(c_3(c_3(c_2(c_2(c_1(c_3(c_4(c_4(c_2(c_4(c_2(c_3(c_0(c_0(c_2(c_2(c_3(c_2(c_4(z0)))))))))))))))))))) -> c108(3'(2(2(1(1(0(2(2(4(0(0(0(2(1(3(1(0(4(3(4(z0)))))))))))))))))))), 2'(2(1(1(0(2(2(4(0(0(0(2(1(3(1(0(4(3(4(z0))))))))))))))))))), 2'(1(1(0(2(2(4(0(0(0(2(1(3(1(0(4(3(4(z0)))))))))))))))))), 1'(1(0(2(2(4(0(0(0(2(1(3(1(0(4(3(4(z0))))))))))))))))), 1'(0(2(2(4(0(0(0(2(1(3(1(0(4(3(4(z0)))))))))))))))), 0'(2(2(4(0(0(0(2(1(3(1(0(4(3(4(z0))))))))))))))), 2'(2(4(0(0(0(2(1(3(1(0(4(3(4(z0)))))))))))))), 2'(4(0(0(0(2(1(3(1(0(4(3(4(z0))))))))))))), 4'(0(0(0(2(1(3(1(0(4(3(4(z0)))))))))))), 0'(0(0(2(1(3(1(0(4(3(4(z0))))))))))), 0'(0(2(1(3(1(0(4(3(4(z0)))))))))), 0'(2(1(3(1(0(4(3(4(z0))))))))), 2'(1(3(1(0(4(3(4(z0)))))))), 1'(3(1(0(4(3(4(z0))))))), 3'(1(0(4(3(4(z0)))))), 1'(0(4(3(4(z0))))), 0'(4(3(4(z0)))), 4'(3(4(z0))), 3'(4(z0)), 4'(z0))
   4'(c_1(c_0(c_2(c_0(c_3(c_2(c_1(c_1(c_3(c_1(c_1(c_0(c_1(c_1(c_2(c_0(c_0(c_4(c_4(z0)))))))))))))))))))) -> c109(2'(1(4(2(2(2(2(2(2(2(0(1(0(3(1(0(1(1(4(0(z0)))))))))))))))))))), 1'(4(2(2(2(2(2(2(2(0(1(0(3(1(0(1(1(4(0(z0))))))))))))))))))), 4'(2(2(2(2(2(2(2(0(1(0(3(1(0(1(1(4(0(z0)))))))))))))))))), 2'(2(2(2(2(2(2(0(1(0(3(1(0(1(1(4(0(z0))))))))))))))))), 2'(2(2(2(2(2(0(1(0(3(1(0(1(1(4(0(z0)))))))))))))))), 2'(2(2(2(2(0(1(0(3(1(0(1(1(4(0(z0))))))))))))))), 2'(2(2(2(0(1(0(3(1(0(1(1(4(0(z0)))))))))))))), 2'(2(2(0(1(0(3(1(0(1(1(4(0(z0))))))))))))), 2'(2(0(1(0(3(1(0(1(1(4(0(z0)))))))))))), 2'(0(1(0(3(1(0(1(1(4(0(z0))))))))))), 0'(1(0(3(1(0(1(1(4(0(z0)))))))))), 1'(0(3(1(0(1(1(4(0(z0))))))))), 0'(3(1(0(1(1(4(0(z0)))))))), 3'(1(0(1(1(4(0(z0))))))), 1'(0(1(1(4(0(z0)))))), 0'(1(1(4(0(z0))))), 1'(1(4(0(z0)))), 1'(4(0(z0))), 4'(0(z0)), 0'(z0))
   4'(c_1(c_1(c_1(c_2(c_2(c_3(c_3(c_3(c_4(c_4(c_0(c_2(c_0(c_2(c_1(c_0(c_1(c_0(c_0(z0)))))))))))))))))))) -> c110(1'(1(0(3(4(0(2(3(1(4(2(4(1(0(4(0(3(1(1(4(z0)))))))))))))))))))), 1'(0(3(4(0(2(3(1(4(2(4(1(0(4(0(3(1(1(4(z0))))))))))))))))))), 0'(3(4(0(2(3(1(4(2(4(1(0(4(0(3(1(1(4(z0)))))))))))))))))), 3'(4(0(2(3(1(4(2(4(1(0(4(0(3(1(1(4(z0))))))))))))))))), 4'(0(2(3(1(4(2(4(1(0(4(0(3(1(1(4(z0)))))))))))))))), 0'(2(3(1(4(2(4(1(0(4(0(3(1(1(4(z0))))))))))))))), 2'(3(1(4(2(4(1(0(4(0(3(1(1(4(z0)))))))))))))), 3'(1(4(2(4(1(0(4(0(3(1(1(4(z0))))))))))))), 1'(4(2(4(1(0(4(0(3(1(1(4(z0)))))))))))), 4'(2(4(1(0(4(0(3(1(1(4(z0))))))))))), 2'(4(1(0(4(0(3(1(1(4(z0)))))))))), 4'(1(0(4(0(3(1(1(4(z0))))))))), 1'(0(4(0(3(1(1(4(z0)))))))), 0'(4(0(3(1(1(4(z0))))))), 4'(0(3(1(1(4(z0)))))), 0'(3(1(1(4(z0))))), 3'(1(1(4(z0)))), 1'(1(4(z0))), 1'(4(z0)), 4'(z0))
   4'(c_4(c_1(c_1(c_2(c_0(c_1(c_0(c_2(c_2(c_1(c_0(c_0(c_1(c_0(c_0(c_1(c_1(c_3(c_2(z0)))))))))))))))))))) -> c111(3'(1(4(1(4(4(3(1(2(3(3(2(1(3(3(1(1(3(2(4(z0)))))))))))))))))))), 1'(4(1(4(4(3(1(2(3(3(2(1(3(3(1(1(3(2(4(z0))))))))))))))))))), 4'(1(4(4(3(1(2(3(3(2(1(3(3(1(1(3(2(4(z0)))))))))))))))))), 1'(4(4(3(1(2(3(3(2(1(3(3(1(1(3(2(4(z0))))))))))))))))), 4'(4(3(1(2(3(3(2(1(3(3(1(1(3(2(4(z0)))))))))))))))), 4'(3(1(2(3(3(2(1(3(3(1(1(3(2(4(z0))))))))))))))), 3'(1(2(3(3(2(1(3(3(1(1(3(2(4(z0)))))))))))))), 1'(2(3(3(2(1(3(3(1(1(3(2(4(z0))))))))))))), 2'(3(3(2(1(3(3(1(1(3(2(4(z0)))))))))))), 3'(3(2(1(3(3(1(1(3(2(4(z0))))))))))), 3'(2(1(3(3(1(1(3(2(4(z0)))))))))), 2'(1(3(3(1(1(3(2(4(z0))))))))), 1'(3(3(1(1(3(2(4(z0)))))))), 3'(3(1(1(3(2(4(z0))))))), 3'(1(1(3(2(4(z0)))))), 1'(1(3(2(4(z0))))), 1'(3(2(4(z0)))), 3'(2(4(z0))), 2'(4(z0)), 4'(z0))
   4'(c_4(c_3(c_4(c_4(c_2(c_4(c_1(c_1(c_0(c_2(c_3(c_1(c_0(c_3(c_1(c_2(c_2(c_4(c_0(z0)))))))))))))))))))) -> c112(1'(2(1(1(1(2(4(1(4(3(1(4(1(4(3(2(0(4(2(2(z0)))))))))))))))))))), 2'(1(1(1(2(4(1(4(3(1(4(1(4(3(2(0(4(2(2(z0))))))))))))))))))), 1'(1(1(2(4(1(4(3(1(4(1(4(3(2(0(4(2(2(z0)))))))))))))))))), 1'(1(2(4(1(4(3(1(4(1(4(3(2(0(4(2(2(z0))))))))))))))))), 1'(2(4(1(4(3(1(4(1(4(3(2(0(4(2(2(z0)))))))))))))))), 2'(4(1(4(3(1(4(1(4(3(2(0(4(2(2(z0))))))))))))))), 4'(1(4(3(1(4(1(4(3(2(0(4(2(2(z0)))))))))))))), 1'(4(3(1(4(1(4(3(2(0(4(2(2(z0))))))))))))), 4'(3(1(4(1(4(3(2(0(4(2(2(z0)))))))))))), 3'(1(4(1(4(3(2(0(4(2(2(z0))))))))))), 1'(4(1(4(3(2(0(4(2(2(z0)))))))))), 4'(1(4(3(2(0(4(2(2(z0))))))))), 1'(4(3(2(0(4(2(2(z0)))))))), 4'(3(2(0(4(2(2(z0))))))), 3'(2(0(4(2(2(z0)))))), 2'(0(4(2(2(z0))))), 0'(4(2(2(z0)))), 4'(2(2(z0))), 2'(2(z0)), 2'(z0))
   4'(c_0(c_4(c_3(c_0(c_0(c_2(c_1(c_2(c_2(c_0(c_3(c_0(c_3(c_1(c_1(c_1(c_3(c_3(c_3(z0)))))))))))))))))))) -> c113(4'(1(2(1(1(2(2(1(1(2(0(1(0(2(4(4(1(1(1(0(z0)))))))))))))))))))), 1'(2(1(1(2(2(1(1(2(0(1(0(2(4(4(1(1(1(0(z0))))))))))))))))))), 2'(1(1(2(2(1(1(2(0(1(0(2(4(4(1(1(1(0(z0)))))))))))))))))), 1'(1(2(2(1(1(2(0(1(0(2(4(4(1(1(1(0(z0))))))))))))))))), 1'(2(2(1(1(2(0(1(0(2(4(4(1(1(1(0(z0)))))))))))))))), 2'(2(1(1(2(0(1(0(2(4(4(1(1(1(0(z0))))))))))))))), 2'(1(1(2(0(1(0(2(4(4(1(1(1(0(z0)))))))))))))), 1'(1(2(0(1(0(2(4(4(1(1(1(0(z0))))))))))))), 1'(2(0(1(0(2(4(4(1(1(1(0(z0)))))))))))), 2'(0(1(0(2(4(4(1(1(1(0(z0))))))))))), 0'(1(0(2(4(4(1(1(1(0(z0)))))))))), 1'(0(2(4(4(1(1(1(0(z0))))))))), 0'(2(4(4(1(1(1(0(z0)))))))), 2'(4(4(1(1(1(0(z0))))))), 4'(4(1(1(1(0(z0)))))), 4'(1(1(1(0(z0))))), 1'(1(1(0(z0)))), 1'(1(0(z0))), 1'(0(z0)), 0'(z0))
K tuples:none
Defined Rule Symbols:   1_1, 3_1, 0_1, 4_1, 2_1, encArg_1, encode_0_1, encode_1_1, encode_2_1, encode_3_1, encode_4_1

Defined Pair Symbols:   ENCARG_1, ENCODE_0_1, ENCODE_1_1, ENCODE_2_1, ENCODE_3_1, ENCODE_4_1, 0'_1, 1'_1, 2'_1, 3'_1, 4'_1

Compound Symbols:   c_2, c1_2, c2_2, c3_2, c4_2, c5_2, c6_2, c7_2, c8_2, c9_2, c10, c11_20, c12_20, c13_20, c14_20, c15_20, c16_20, c17_20, c18_20, c19_20, c20_20, c21_20, c22_20, c23_20, c24_20, c25_20, c26_20, c27_20, c28_20, c29_20, c30_20, c31, c32_20, c33_20, c34_20, c35_20, c36_20, c37_20, c38_20, c39_20, c40_20, c41_20, c42_20, c43, c44_20, c45_20, c46_20, c47_20, c48_20, c49_20, c50_20, c51_20, c52_20, c53_20, c54_20, c55_20, c56_20, c57_20, c58_20, c59_20, c60_20, c61_20, c62_20, c63_20, c64, c65_20, c66_20, c67_20, c68_20, c69_20, c70_20, c71_20, c72_20, c73_20, c74_20, c75_20, c76_20, c77_20, c78_20, c79_20, c80_20, c81_20, c82_20, c83_20, c84_20, c85_20, c86_20, c87_20, c88_20, c89, c90_20, c91_20, c92_20, c93_20, c94_20, c95_20, c96_20, c97_20, c98_20, c99_20, c100_20, c101_20, c102_20, c103_20, c104_20, c105_20, c106_20, c107_20, c108_20, c109_20, c110_20, c111_20, c112_20, c113_20


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

(39) CdtLeafRemovalProof (BOTH BOUNDS(ID, ID))
Removed 5 trailing nodes:
   4'(z0) -> c89
   3'(z0) -> c64
   0'(z0) -> c10
   2'(z0) -> c43
   1'(z0) -> c31

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

(40)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(cons_0(z0)) -> 0(encArg(z0))
   encArg(cons_1(z0)) -> 1(encArg(z0))
   encArg(cons_2(z0)) -> 2(encArg(z0))
   encArg(cons_3(z0)) -> 3(encArg(z0))
   encArg(cons_4(z0)) -> 4(encArg(z0))
   encode_0(z0) -> 0(encArg(z0))
   encode_1(z0) -> 1(encArg(z0))
   encode_2(z0) -> 2(encArg(z0))
   encode_3(z0) -> 3(encArg(z0))
   encode_4(z0) -> 4(encArg(z0))
   0(z0) -> c_0(z0)
   0(c_4(c_4(c_4(c_0(c_2(c_2(c_1(c_3(c_2(c_1(c_0(c_4(c_1(c_3(c_0(c_1(c_3(c_4(c_4(z0)))))))))))))))))))) -> 3(2(3(0(1(2(2(3(1(4(0(4(1(1(1(4(2(2(1(1(z0))))))))))))))))))))
   0(c_1(c_4(c_2(c_3(c_1(c_1(c_2(c_3(c_2(c_3(c_1(c_0(c_1(c_0(c_2(c_0(c_2(c_3(c_2(z0)))))))))))))))))))) -> 3(1(3(2(0(4(1(3(2(1(0(4(0(4(4(3(2(1(4(3(z0))))))))))))))))))))
   0(c_3(c_0(c_0(c_1(c_1(c_4(c_3(c_4(c_3(c_0(c_4(c_2(c_1(c_4(c_3(c_4(c_2(c_1(c_2(z0)))))))))))))))))))) -> 1(4(0(1(2(2(2(3(4(4(2(4(2(2(1(3(1(4(2(4(z0))))))))))))))))))))
   0(c_0(c_0(c_0(c_1(c_0(c_2(c_2(c_3(c_2(c_1(c_1(c_0(c_3(c_2(c_1(c_1(c_1(c_2(c_4(z0)))))))))))))))))))) -> 0(3(2(3(3(2(1(4(2(2(2(1(0(0(2(0(1(2(2(4(z0))))))))))))))))))))
   0(c_2(c_1(c_4(c_2(c_4(c_3(c_4(c_0(c_0(c_3(c_0(c_2(c_4(c_1(c_4(c_4(c_0(c_1(c_1(z0)))))))))))))))))))) -> 4(4(3(3(1(4(0(3(2(3(3(1(4(0(1(2(1(4(1(0(z0))))))))))))))))))))
   0(c_0(c_4(c_0(c_2(c_1(c_4(c_1(c_4(c_0(c_1(c_2(c_0(c_0(c_4(c_1(c_0(c_3(c_2(c_1(z0)))))))))))))))))))) -> 2(3(3(3(1(3(2(4(2(1(1(3(0(2(1(2(3(4(2(1(z0))))))))))))))))))))
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   0(c_3(c_2(c_0(c_1(c_4(c_3(c_0(c_2(c_4(c_0(c_2(c_0(c_0(c_1(c_4(c_4(c_2(c_4(c_4(z0)))))))))))))))))))) -> 4(0(0(0(4(4(2(1(3(1(0(1(2(2(2(4(4(4(2(3(z0))))))))))))))))))))
   0(c_2(c_1(c_4(c_4(c_4(c_3(c_4(c_2(c_1(c_1(c_0(c_0(c_1(c_4(c_4(c_2(c_0(c_3(c_4(z0)))))))))))))))))))) -> 1(0(1(4(2(1(0(2(4(4(4(0(1(1(3(1(3(4(3(1(z0))))))))))))))))))))
   0(c_4(c_1(c_1(c_1(c_2(c_1(c_4(c_3(c_2(c_4(c_4(c_2(c_2(c_4(c_2(c_0(c_4(c_1(c_1(z0)))))))))))))))))))) -> 2(1(1(4(2(2(3(1(3(1(2(2(2(4(1(3(3(4(3(0(z0))))))))))))))))))))
   0(c_4(c_4(c_3(c_2(c_0(c_4(c_1(c_0(c_4(c_3(c_1(c_1(c_0(c_2(c_1(c_1(c_3(c_2(c_1(z0)))))))))))))))))))) -> 2(1(2(2(1(2(3(2(1(2(4(2(4(2(3(2(3(4(4(1(z0))))))))))))))))))))
   0(c_2(c_4(c_3(c_1(c_4(c_0(c_3(c_3(c_4(c_4(c_2(c_2(c_4(c_4(c_0(c_4(c_1(c_0(c_0(z0)))))))))))))))))))) -> 4(2(1(0(1(3(3(4(0(0(2(3(3(4(3(1(4(1(0(4(z0))))))))))))))))))))
   0(c_1(c_4(c_0(c_3(c_1(c_3(c_3(c_0(c_3(c_1(c_4(c_4(c_1(c_1(c_1(c_4(c_0(c_4(c_0(z0)))))))))))))))))))) -> 3(2(0(3(2(4(3(4(4(2(1(0(1(4(1(3(1(4(4(4(z0))))))))))))))))))))
   0(c_2(c_3(c_4(c_2(c_2(c_4(c_4(c_1(c_0(c_3(c_2(c_2(c_4(c_2(c_2(c_3(c_1(c_1(c_4(z0)))))))))))))))))))) -> 1(3(1(4(0(3(1(1(4(3(3(2(2(1(2(0(2(0(3(4(z0))))))))))))))))))))
   0(c_1(c_4(c_1(c_3(c_1(c_0(c_2(c_4(c_1(c_3(c_0(c_4(c_3(c_1(c_3(c_1(c_1(c_1(c_0(z0)))))))))))))))))))) -> 3(2(1(1(4(1(2(1(4(0(2(1(1(4(4(0(1(2(2(1(z0))))))))))))))))))))
   0(c_1(c_3(c_0(c_2(c_4(c_3(c_0(c_3(c_1(c_0(c_2(c_4(c_2(c_2(c_0(c_3(c_4(c_1(c_1(z0)))))))))))))))))))) -> 4(0(2(4(3(1(3(1(0(2(3(3(2(1(0(4(4(1(2(1(z0))))))))))))))))))))
   0(c_2(c_1(c_2(c_1(c_0(c_2(c_3(c_0(c_0(c_4(c_2(c_3(c_1(c_4(c_0(c_3(c_1(c_3(c_1(z0)))))))))))))))))))) -> 3(1(2(3(4(3(0(2(2(2(1(2(2(3(4(2(1(4(3(1(z0))))))))))))))))))))
   1(z0) -> c_1(z0)
   1(c_0(c_0(c_4(c_0(c_0(c_1(c_2(c_3(c_0(c_1(c_4(c_1(c_3(c_0(c_2(c_1(c_4(c_0(c_0(z0)))))))))))))))))))) -> 4(1(2(4(1(3(3(4(3(3(3(1(2(2(4(1(0(3(3(1(z0))))))))))))))))))))
   1(c_1(c_0(c_2(c_4(c_4(c_4(c_1(c_2(c_4(c_4(c_1(c_0(c_4(c_2(c_2(c_1(c_3(c_0(c_3(z0)))))))))))))))))))) -> 2(1(1(1(1(3(3(4(3(1(1(4(4(2(1(3(1(0(0(3(z0))))))))))))))))))))
   1(c_4(c_1(c_3(c_0(c_1(c_1(c_1(c_1(c_0(c_4(c_0(c_0(c_3(c_0(c_3(c_2(c_4(c_3(c_4(z0)))))))))))))))))))) -> 1(4(4(0(4(0(0(2(4(0(4(3(2(1(2(4(2(4(3(1(z0))))))))))))))))))))
   1(c_4(c_2(c_4(c_4(c_3(c_3(c_4(c_3(c_3(c_4(c_1(c_4(c_1(c_2(c_3(c_4(c_1(c_1(c_2(z0)))))))))))))))))))) -> 3(2(2(0(3(0(2(2(1(2(1(0(3(4(1(3(1(2(1(2(z0))))))))))))))))))))
   1(c_0(c_0(c_0(c_3(c_2(c_4(c_3(c_1(c_2(c_3(c_0(c_2(c_4(c_1(c_0(c_1(c_2(c_4(c_2(z0)))))))))))))))))))) -> 2(0(0(4(4(1(4(3(2(1(3(1(3(0(4(1(1(4(0(2(z0))))))))))))))))))))
   1(c_4(c_1(c_2(c_3(c_0(c_0(c_2(c_3(c_4(c_1(c_4(c_0(c_2(c_0(c_4(c_1(c_1(c_2(c_0(z0)))))))))))))))))))) -> 4(3(1(2(1(4(4(3(4(3(2(2(1(3(2(1(3(4(1(4(z0))))))))))))))))))))
   1(c_3(c_4(c_3(c_0(c_3(c_1(c_4(c_3(c_2(c_4(c_0(c_1(c_0(c_0(c_1(c_3(c_3(c_1(c_1(z0)))))))))))))))))))) -> 1(2(2(4(3(1(4(4(3(1(1(0(3(3(0(3(0(1(0(4(z0))))))))))))))))))))
   1(c_2(c_4(c_4(c_0(c_0(c_4(c_3(c_0(c_2(c_2(c_3(c_0(c_0(c_4(c_4(c_3(c_3(c_3(c_2(z0)))))))))))))))))))) -> 4(2(3(2(1(0(4(3(3(1(3(3(1(4(2(0(0(1(4(3(z0))))))))))))))))))))
   1(c_0(c_1(c_1(c_3(c_3(c_0(c_2(c_0(c_2(c_2(c_1(c_0(c_4(c_1(c_0(c_4(c_3(c_1(c_4(z0)))))))))))))))))))) -> 1(2(4(1(0(0(0(1(4(2(0(0(4(4(4(1(4(3(1(4(z0))))))))))))))))))))
   1(c_2(c_0(c_3(c_1(c_0(c_2(c_0(c_4(c_1(c_4(c_4(c_2(c_4(c_0(c_4(c_3(c_4(c_4(c_3(z0)))))))))))))))))))) -> 2(1(4(4(4(1(4(1(1(2(4(1(1(2(2(1(1(0(0(0(z0))))))))))))))))))))
   1(c_4(c_2(c_3(c_1(c_4(c_2(c_2(c_0(c_4(c_2(c_3(c_0(c_1(c_3(c_2(c_1(c_3(c_3(c_4(z0)))))))))))))))))))) -> 1(4(1(3(4(3(0(1(4(0(2(1(0(1(1(0(3(1(2(2(z0))))))))))))))))))))
   2(z0) -> c_2(z0)
   2(c_1(c_3(c_3(c_4(c_1(c_4(c_0(c_4(c_0(c_3(c_0(c_0(c_2(c_4(c_1(c_4(c_0(c_0(c_3(z0)))))))))))))))))))) -> 1(0(0(4(3(3(0(3(2(2(4(3(2(2(1(1(3(1(4(1(z0))))))))))))))))))))
   2(c_4(c_2(c_3(c_0(c_2(c_3(c_2(c_2(c_3(c_2(c_1(c_0(c_3(c_4(c_1(c_3(c_1(c_0(c_1(z0)))))))))))))))))))) -> 1(3(0(4(4(1(3(2(1(0(2(4(1(0(2(2(0(4(4(1(z0))))))))))))))))))))
   2(c_2(c_2(c_0(c_0(c_0(c_3(c_4(c_4(c_0(c_2(c_1(c_2(c_0(c_0(c_2(c_0(c_3(c_0(c_0(z0)))))))))))))))))))) -> 4(2(3(4(0(4(2(1(0(3(1(1(1(3(0(0(3(1(2(0(z0))))))))))))))))))))
   2(c_0(c_0(c_3(c_3(c_1(c_0(c_4(c_2(c_3(c_1(c_2(c_3(c_0(c_4(c_1(c_3(c_0(c_4(c_4(z0)))))))))))))))))))) -> 4(0(3(4(3(3(1(2(1(4(1(4(4(3(0(3(0(1(0(0(z0))))))))))))))))))))
   2(c_3(c_0(c_4(c_0(c_2(c_4(c_4(c_4(c_2(c_1(c_2(c_0(c_3(c_2(c_2(c_1(c_1(c_3(c_0(z0)))))))))))))))))))) -> 2(1(1(1(4(4(1(1(4(0(2(3(2(4(1(0(2(4(2(1(z0))))))))))))))))))))
   2(c_4(c_3(c_4(c_4(c_4(c_4(c_3(c_2(c_4(c_4(c_2(c_3(c_3(c_1(c_1(c_0(c_4(c_2(c_2(z0)))))))))))))))))))) -> 4(1(4(3(4(2(2(1(2(1(4(4(3(1(0(4(3(4(0(0(z0))))))))))))))))))))
   2(c_2(c_3(c_3(c_0(c_2(c_0(c_3(c_0(c_1(c_4(c_3(c_2(c_2(c_1(c_0(c_2(c_2(c_4(c_4(z0)))))))))))))))))))) -> 4(1(2(4(2(1(4(2(2(0(3(0(1(4(1(2(4(3(4(0(z0))))))))))))))))))))
   2(c_3(c_0(c_4(c_1(c_3(c_1(c_3(c_0(c_0(c_1(c_1(c_1(c_1(c_2(c_3(c_1(c_4(c_2(c_1(z0)))))))))))))))))))) -> 1(0(2(2(2(3(3(1(0(4(3(1(4(2(2(1(1(0(3(1(z0))))))))))))))))))))
   2(c_0(c_0(c_0(c_0(c_1(c_4(c_4(c_3(c_1(c_3(c_3(c_2(c_2(c_1(c_4(c_4(c_2(c_3(c_1(z0)))))))))))))))))))) -> 2(4(1(0(1(4(3(1(2(2(2(1(1(1(3(4(4(0(1(2(z0))))))))))))))))))))
   2(c_3(c_0(c_2(c_4(c_0(c_1(c_0(c_3(c_4(c_3(c_3(c_1(c_4(c_1(c_0(c_4(c_3(c_2(c_2(z0)))))))))))))))))))) -> 3(1(3(1(2(2(0(4(1(3(1(1(4(2(3(4(4(4(4(4(z0))))))))))))))))))))
   2(c_2(c_3(c_3(c_1(c_3(c_1(c_2(c_0(c_0(c_4(c_3(c_4(c_2(c_2(c_0(c_2(c_2(c_4(c_0(z0)))))))))))))))))))) -> 2(1(2(0(4(4(1(0(2(4(1(3(2(1(3(1(0(2(3(3(z0))))))))))))))))))))
   2(c_1(c_1(c_3(c_2(c_4(c_3(c_0(c_1(c_4(c_2(c_0(c_3(c_1(c_2(c_0(c_4(c_0(c_3(c_2(z0)))))))))))))))))))) -> 2(2(1(0(4(2(0(1(3(0(4(1(2(4(4(3(2(2(1(2(z0))))))))))))))))))))
   2(c_0(c_4(c_3(c_4(c_4(c_2(c_1(c_0(c_0(c_2(c_4(c_4(c_2(c_1(c_1(c_1(c_1(c_1(c_4(z0)))))))))))))))))))) -> 0(4(0(1(2(2(1(4(2(1(4(3(0(4(3(4(1(1(3(1(z0))))))))))))))))))))
   2(c_3(c_3(c_3(c_4(c_0(c_4(c_1(c_0(c_2(c_2(c_4(c_2(c_4(c_1(c_1(c_3(c_3(c_4(c_1(z0)))))))))))))))))))) -> 4(2(1(4(1(0(3(1(4(4(3(3(0(1(3(1(2(4(3(0(z0))))))))))))))))))))
   2(c_0(c_1(c_4(c_4(c_3(c_3(c_4(c_2(c_3(c_1(c_3(c_1(c_1(c_3(c_0(c_4(c_1(c_3(c_2(z0)))))))))))))))))))) -> 2(1(4(3(1(0(3(1(4(4(4(2(2(0(0(4(2(0(2(2(z0))))))))))))))))))))
   2(c_2(c_4(c_1(c_0(c_3(c_0(c_4(c_2(c_4(c_3(c_3(c_4(c_3(c_3(c_1(c_0(c_1(c_0(c_0(z0)))))))))))))))))))) -> 0(4(3(4(1(0(3(4(4(4(3(0(4(0(1(2(1(3(1(4(z0))))))))))))))))))))
   2(c_3(c_4(c_4(c_0(c_0(c_4(c_4(c_4(c_3(c_3(c_0(c_4(c_2(c_2(c_3(c_0(c_0(c_1(c_3(z0)))))))))))))))))))) -> 0(2(0(4(3(3(2(1(4(4(1(2(0(1(2(4(3(3(4(1(z0))))))))))))))))))))
   2(c_3(c_1(c_3(c_2(c_1(c_4(c_1(c_0(c_2(c_4(c_2(c_0(c_0(c_2(c_3(c_4(c_4(c_3(c_2(z0)))))))))))))))))))) -> 4(1(1(4(3(2(3(1(4(1(4(4(1(3(1(2(3(4(4(1(z0))))))))))))))))))))
   2(c_3(c_2(c_4(c_2(c_1(c_0(c_0(c_2(c_4(c_3(c_4(c_1(c_1(c_3(c_2(c_4(c_2(c_1(c_2(z0)))))))))))))))))))) -> 2(3(2(1(1(0(2(0(1(1(3(2(1(4(3(1(1(0(3(1(z0))))))))))))))))))))
   2(c_0(c_2(c_2(c_1(c_3(c_3(c_2(c_4(c_0(c_1(c_0(c_3(c_1(c_4(c_0(c_0(c_0(c_1(c_3(z0)))))))))))))))))))) -> 1(3(4(2(0(1(1(3(1(3(4(4(2(3(1(0(1(3(1(3(z0))))))))))))))))))))
   3(z0) -> c_3(z0)
   3(c_0(c_3(c_3(c_3(c_4(c_2(c_1(c_4(c_2(c_2(c_3(c_2(c_0(c_4(c_4(c_4(c_1(c_1(c_1(z0)))))))))))))))))))) -> 1(4(3(4(2(2(4(3(2(0(1(4(1(1(3(1(2(1(1(3(z0))))))))))))))))))))
   3(c_1(c_0(c_0(c_1(c_0(c_4(c_4(c_1(c_0(c_1(c_2(c_4(c_0(c_2(c_1(c_3(c_0(c_2(c_0(z0)))))))))))))))))))) -> 4(4(3(2(4(2(1(2(0(0(1(4(2(3(0(0(1(0(1(4(z0))))))))))))))))))))
   3(c_0(c_3(c_0(c_4(c_1(c_3(c_1(c_1(c_0(c_4(c_1(c_2(c_3(c_4(c_1(c_1(c_0(c_1(c_4(z0)))))))))))))))))))) -> 2(0(1(2(4(3(2(1(4(2(4(0(3(2(4(2(3(1(4(1(z0))))))))))))))))))))
   3(c_3(c_0(c_3(c_0(c_4(c_2(c_0(c_1(c_3(c_3(c_4(c_1(c_0(c_3(c_2(c_2(c_1(c_1(c_1(z0)))))))))))))))))))) -> 4(0(1(3(1(2(1(0(1(1(2(3(0(4(3(3(1(3(0(1(z0))))))))))))))))))))
   3(c_3(c_1(c_1(c_2(c_2(c_4(c_2(c_1(c_4(c_3(c_3(c_4(c_3(c_1(c_0(c_0(c_2(c_1(c_1(z0)))))))))))))))))))) -> 2(2(2(0(3(1(1(1(4(1(0(3(1(2(1(4(1(3(1(1(z0))))))))))))))))))))
   3(c_2(c_0(c_0(c_1(c_4(c_1(c_0(c_3(c_3(c_0(c_3(c_0(c_1(c_4(c_1(c_3(c_3(c_2(c_1(z0)))))))))))))))))))) -> 1(2(2(2(1(1(4(3(0(3(2(2(4(2(1(4(4(3(1(4(z0))))))))))))))))))))
   3(c_3(c_4(c_1(c_1(c_4(c_4(c_3(c_1(c_0(c_1(c_3(c_0(c_0(c_3(c_1(c_3(c_3(c_2(c_0(z0)))))))))))))))))))) -> 2(1(4(1(1(1(4(2(4(2(4(1(3(4(2(3(3(2(2(4(z0))))))))))))))))))))
   3(c_4(c_1(c_4(c_3(c_2(c_2(c_4(c_1(c_1(c_4(c_4(c_2(c_3(c_0(c_1(c_1(c_3(c_0(c_1(z0)))))))))))))))))))) -> 4(1(4(0(1(4(1(2(2(4(2(2(1(2(2(1(1(1(3(2(z0))))))))))))))))))))
   3(c_4(c_2(c_4(c_2(c_0(c_3(c_4(c_2(c_4(c_3(c_1(c_4(c_3(c_4(c_0(c_4(c_4(c_3(c_1(z0)))))))))))))))))))) -> 3(4(1(3(2(3(3(4(4(1(1(3(1(3(3(1(1(4(1(0(z0))))))))))))))))))))
   3(c_2(c_1(c_0(c_2(c_3(c_1(c_2(c_3(c_2(c_0(c_1(c_0(c_3(c_0(c_0(c_1(c_4(c_2(c_1(z0)))))))))))))))))))) -> 1(3(1(4(1(1(1(4(0(0(2(1(0(4(1(2(2(3(1(1(z0))))))))))))))))))))
   3(c_1(c_0(c_0(c_0(c_4(c_0(c_4(c_3(c_0(c_2(c_4(c_3(c_3(c_3(c_1(c_1(c_3(c_0(c_1(z0)))))))))))))))))))) -> 4(2(4(2(0(1(2(3(4(1(0(3(1(2(2(0(4(4(2(4(z0))))))))))))))))))))
   3(c_4(c_2(c_1(c_4(c_1(c_3(c_4(c_3(c_4(c_2(c_0(c_2(c_2(c_4(c_3(c_0(c_1(c_0(c_1(z0)))))))))))))))))))) -> 4(2(1(4(1(2(2(2(2(2(3(1(0(1(2(4(3(1(2(4(z0))))))))))))))))))))
   3(c_4(c_0(c_0(c_1(c_2(c_0(c_4(c_4(c_4(c_4(c_4(c_1(c_2(c_2(c_4(c_4(c_0(c_3(c_0(z0)))))))))))))))))))) -> 3(2(3(4(1(1(4(3(4(4(1(1(2(2(4(4(0(0(4(0(z0))))))))))))))))))))
   3(c_2(c_4(c_4(c_2(c_0(c_2(c_4(c_4(c_3(c_3(c_1(c_1(c_2(c_4(c_2(c_3(c_4(c_4(c_2(z0)))))))))))))))))))) -> 1(4(1(3(3(2(1(2(3(4(2(4(1(3(0(4(2(1(3(1(z0))))))))))))))))))))
   3(c_4(c_0(c_3(c_1(c_3(c_3(c_3(c_0(c_1(c_3(c_2(c_2(c_3(c_4(c_2(c_2(c_4(c_4(c_2(z0)))))))))))))))))))) -> 0(3(2(1(1(1(3(2(4(0(3(0(3(3(0(2(1(2(1(2(z0))))))))))))))))))))
   3(c_4(c_0(c_0(c_4(c_1(c_4(c_1(c_1(c_0(c_1(c_0(c_1(c_2(c_1(c_3(c_2(c_2(c_3(c_4(z0)))))))))))))))))))) -> 1(3(4(2(1(3(0(1(4(3(1(3(4(0(4(1(2(4(0(2(z0))))))))))))))))))))
   3(c_2(c_2(c_3(c_3(c_0(c_0(c_4(c_4(c_0(c_4(c_4(c_4(c_2(c_3(c_3(c_1(c_1(c_2(c_1(z0)))))))))))))))))))) -> 3(0(3(4(4(4(4(1(4(3(3(0(0(2(3(2(1(2(2(1(z0))))))))))))))))))))
   3(c_2(c_4(c_0(c_0(c_2(c_4(c_0(c_4(c_3(c_4(c_2(c_1(c_1(c_2(c_4(c_3(c_3(c_2(c_1(z0)))))))))))))))))))) -> 0(3(3(4(3(1(4(2(4(3(2(1(4(1(4(0(3(1(4(2(z0))))))))))))))))))))
   3(c_0(c_2(c_2(c_1(c_0(c_0(c_0(c_0(c_0(c_3(c_1(c_0(c_0(c_4(c_3(c_4(c_2(c_2(c_0(z0)))))))))))))))))))) -> 3(2(2(0(0(2(2(4(0(4(3(4(3(0(2(2(3(2(1(0(z0))))))))))))))))))))
   3(c_0(c_3(c_0(c_0(c_1(c_3(c_2(c_4(c_4(c_4(c_0(c_3(c_0(c_1(c_4(c_1(c_2(c_4(c_3(z0)))))))))))))))))))) -> 2(2(3(2(1(0(2(0(0(2(0(4(0(4(0(4(3(2(2(3(z0))))))))))))))))))))
   3(c_4(c_4(c_0(c_0(c_0(c_0(c_3(c_2(c_2(c_2(c_1(c_4(c_4(c_4(c_1(c_2(c_4(c_0(c_3(z0)))))))))))))))))))) -> 1(1(4(0(0(2(0(1(2(2(2(2(0(1(3(1(0(2(0(0(z0))))))))))))))))))))
   3(c_0(c_1(c_4(c_2(c_2(c_1(c_1(c_2(c_4(c_4(c_1(c_1(c_1(c_3(c_1(c_1(c_3(c_3(c_3(z0)))))))))))))))))))) -> 3(3(4(2(1(1(3(1(2(1(2(2(1(3(4(1(4(2(4(2(z0))))))))))))))))))))
   3(c_1(c_4(c_4(c_1(c_4(c_3(c_4(c_0(c_3(c_0(c_2(c_0(c_3(c_2(c_1(c_2(c_3(c_2(c_4(z0)))))))))))))))))))) -> 2(0(3(1(2(3(1(2(1(2(1(3(3(4(2(0(0(2(2(1(z0))))))))))))))))))))
   3(c_3(c_3(c_4(c_2(c_3(c_3(c_0(c_1(c_3(c_4(c_4(c_4(c_0(c_4(c_2(c_2(c_4(c_0(c_2(z0)))))))))))))))))))) -> 3(4(3(4(1(3(4(2(2(2(2(0(4(1(3(3(1(1(4(4(z0))))))))))))))))))))
   4(z0) -> c_4(z0)
   4(c_1(c_3(c_2(c_2(c_4(c_4(c_2(c_0(c_0(c_3(c_2(c_3(c_1(c_1(c_3(c_2(c_3(c_3(c_1(z0)))))))))))))))))))) -> 3(2(1(2(1(3(2(1(3(2(3(2(1(1(2(1(2(3(4(3(z0))))))))))))))))))))
   4(c_0(c_3(c_0(c_3(c_1(c_1(c_2(c_0(c_4(c_3(c_0(c_4(c_3(c_1(c_0(c_0(c_4(c_2(c_4(z0)))))))))))))))))))) -> 2(4(4(4(4(2(2(2(2(4(3(2(2(3(4(1(2(0(1(3(z0))))))))))))))))))))
   4(c_3(c_4(c_3(c_4(c_4(c_3(c_0(c_3(c_3(c_2(c_2(c_3(c_1(c_3(c_2(c_2(c_3(c_4(c_1(z0)))))))))))))))))))) -> 4(1(0(0(4(3(4(1(2(4(3(3(2(1(3(4(1(0(3(1(z0))))))))))))))))))))
   4(c_4(c_0(c_4(c_4(c_1(c_0(c_3(c_3(c_2(c_0(c_3(c_0(c_1(c_3(c_0(c_3(c_1(c_3(c_3(z0)))))))))))))))))))) -> 2(1(0(3(1(3(1(4(3(3(0(0(1(4(4(1(2(2(3(0(z0))))))))))))))))))))
   4(c_2(c_1(c_2(c_1(c_1(c_2(c_3(c_4(c_2(c_3(c_2(c_1(c_4(c_2(c_2(c_4(c_0(c_3(c_0(z0)))))))))))))))))))) -> 3(1(0(2(1(3(1(2(1(0(2(1(1(3(1(0(4(0(3(4(z0))))))))))))))))))))
   4(c_0(c_2(c_4(c_2(c_1(c_4(c_2(c_4(c_2(c_4(c_1(c_2(c_0(c_1(c_0(c_3(c_0(c_3(c_0(z0)))))))))))))))))))) -> 0(3(1(0(4(1(4(2(3(1(4(4(1(2(0(1(0(0(0(4(z0))))))))))))))))))))
   4(c_3(c_2(c_0(c_1(c_0(c_2(c_2(c_3(c_1(c_4(c_0(c_0(c_3(c_4(c_0(c_0(c_1(c_1(c_2(z0)))))))))))))))))))) -> 3(2(0(3(0(0(4(1(1(4(2(4(1(4(3(1(3(1(4(3(z0))))))))))))))))))))
   4(c_1(c_3(c_4(c_1(c_3(c_0(c_2(c_4(c_3(c_4(c_3(c_3(c_1(c_0(c_2(c_0(c_1(c_2(c_4(z0)))))))))))))))))))) -> 2(0(4(4(1(0(2(2(1(1(4(0(4(0(1(4(0(4(4(3(z0))))))))))))))))))))
   4(c_3(c_1(c_3(c_2(c_2(c_4(c_0(c_1(c_0(c_4(c_0(c_0(c_2(c_1(c_0(c_1(c_4(c_3(c_0(z0)))))))))))))))))))) -> 1(3(1(1(1(1(3(4(4(1(4(4(1(4(0(4(2(4(1(3(z0))))))))))))))))))))
   4(c_1(c_3(c_4(c_2(c_3(c_0(c_4(c_4(c_3(c_3(c_1(c_1(c_3(c_4(c_1(c_1(c_3(c_3(c_0(z0)))))))))))))))))))) -> 2(4(4(4(4(2(2(4(1(0(2(2(4(0(3(2(2(2(2(2(z0))))))))))))))))))))
   4(c_3(c_4(c_4(c_2(c_2(c_3(c_2(c_0(c_4(c_2(c_4(c_2(c_2(c_1(c_4(c_2(c_3(c_3(c_0(z0)))))))))))))))))))) -> 1(2(1(2(1(1(0(4(0(1(1(4(2(1(0(4(1(0(4(3(z0))))))))))))))))))))
   4(c_4(c_3(c_2(c_1(c_2(c_0(c_3(c_0(c_4(c_0(c_2(c_1(c_4(c_4(c_0(c_2(c_1(c_3(c_0(z0)))))))))))))))))))) -> 4(2(4(1(4(2(2(0(1(0(3(1(3(0(1(3(3(2(1(0(z0))))))))))))))))))))
   4(c_1(c_2(c_1(c_0(c_4(c_3(c_1(c_3(c_0(c_2(c_3(c_3(c_4(c_3(c_1(c_0(c_0(c_0(c_4(z0)))))))))))))))))))) -> 3(2(0(2(2(1(2(1(1(2(3(0(1(3(3(3(2(4(1(0(z0))))))))))))))))))))
   4(c_0(c_0(c_3(c_3(c_1(c_0(c_2(c_2(c_0(c_4(c_0(c_4(c_3(c_0(c_0(c_2(c_2(c_1(c_3(z0)))))))))))))))))))) -> 0(0(3(2(1(2(3(2(4(3(1(2(0(2(2(1(1(0(3(1(z0))))))))))))))))))))
   4(c_3(c_4(c_3(c_4(c_4(c_2(c_0(c_4(c_4(c_2(c_0(c_2(c_0(c_4(c_4(c_2(c_2(c_3(c_3(z0)))))))))))))))))))) -> 3(4(0(1(3(0(0(4(3(1(2(2(3(1(3(4(2(2(0(3(z0))))))))))))))))))))
   4(c_3(c_2(c_3(c_2(c_2(c_1(c_2(c_0(c_3(c_0(c_0(c_0(c_1(c_1(c_3(c_2(c_4(c_3(c_4(z0)))))))))))))))))))) -> 1(3(1(4(0(2(1(0(0(1(3(4(0(3(3(4(2(1(2(1(z0))))))))))))))))))))
   4(c_0(c_2(c_1(c_3(c_3(c_4(c_4(c_0(c_0(c_0(c_3(c_2(c_3(c_4(c_4(c_4(c_3(c_2(c_3(z0)))))))))))))))))))) -> 4(0(2(1(4(0(2(0(0(4(0(4(1(0(2(3(4(4(1(2(z0))))))))))))))))))))
   4(c_1(c_1(c_0(c_3(c_0(c_1(c_3(c_0(c_4(c_4(c_2(c_1(c_2(c_4(c_2(c_0(c_0(c_3(c_0(z0)))))))))))))))))))) -> 2(3(2(0(1(4(4(4(3(2(3(3(1(4(3(4(2(0(1(3(z0))))))))))))))))))))
   4(c_3(c_3(c_2(c_2(c_1(c_3(c_4(c_4(c_2(c_4(c_2(c_3(c_0(c_0(c_2(c_2(c_3(c_2(c_4(z0)))))))))))))))))))) -> 3(2(2(1(1(0(2(2(4(0(0(0(2(1(3(1(0(4(3(4(z0))))))))))))))))))))
   4(c_1(c_0(c_2(c_0(c_3(c_2(c_1(c_1(c_3(c_1(c_1(c_0(c_1(c_1(c_2(c_0(c_0(c_4(c_4(z0)))))))))))))))))))) -> 2(1(4(2(2(2(2(2(2(2(0(1(0(3(1(0(1(1(4(0(z0))))))))))))))))))))
   4(c_1(c_1(c_1(c_2(c_2(c_3(c_3(c_3(c_4(c_4(c_0(c_2(c_0(c_2(c_1(c_0(c_1(c_0(c_0(z0)))))))))))))))))))) -> 1(1(0(3(4(0(2(3(1(4(2(4(1(0(4(0(3(1(1(4(z0))))))))))))))))))))
   4(c_4(c_1(c_1(c_2(c_0(c_1(c_0(c_2(c_2(c_1(c_0(c_0(c_1(c_0(c_0(c_1(c_1(c_3(c_2(z0)))))))))))))))))))) -> 3(1(4(1(4(4(3(1(2(3(3(2(1(3(3(1(1(3(2(4(z0))))))))))))))))))))
   4(c_4(c_3(c_4(c_4(c_2(c_4(c_1(c_1(c_0(c_2(c_3(c_1(c_0(c_3(c_1(c_2(c_2(c_4(c_0(z0)))))))))))))))))))) -> 1(2(1(1(1(2(4(1(4(3(1(4(1(4(3(2(0(4(2(2(z0))))))))))))))))))))
   4(c_0(c_4(c_3(c_0(c_0(c_2(c_1(c_2(c_2(c_0(c_3(c_0(c_3(c_1(c_1(c_1(c_3(c_3(c_3(z0)))))))))))))))))))) -> 4(1(2(1(1(2(2(1(1(2(0(1(0(2(4(4(1(1(1(0(z0))))))))))))))))))))
Tuples:
   ENCARG(cons_0(z0)) -> c(0'(encArg(z0)), ENCARG(z0))
   ENCARG(cons_1(z0)) -> c1(1'(encArg(z0)), ENCARG(z0))
   ENCARG(cons_2(z0)) -> c2(2'(encArg(z0)), ENCARG(z0))
   ENCARG(cons_3(z0)) -> c3(3'(encArg(z0)), ENCARG(z0))
   ENCARG(cons_4(z0)) -> c4(4'(encArg(z0)), ENCARG(z0))
   ENCODE_0(z0) -> c5(0'(encArg(z0)), ENCARG(z0))
   ENCODE_1(z0) -> c6(1'(encArg(z0)), ENCARG(z0))
   ENCODE_2(z0) -> c7(2'(encArg(z0)), ENCARG(z0))
   ENCODE_3(z0) -> c8(3'(encArg(z0)), ENCARG(z0))
   ENCODE_4(z0) -> c9(4'(encArg(z0)), ENCARG(z0))
   0'(c_4(c_4(c_4(c_0(c_2(c_2(c_1(c_3(c_2(c_1(c_0(c_4(c_1(c_3(c_0(c_1(c_3(c_4(c_4(z0)))))))))))))))))))) -> c11(3'(2(3(0(1(2(2(3(1(4(0(4(1(1(1(4(2(2(1(1(z0)))))))))))))))))))), 2'(3(0(1(2(2(3(1(4(0(4(1(1(1(4(2(2(1(1(z0))))))))))))))))))), 3'(0(1(2(2(3(1(4(0(4(1(1(1(4(2(2(1(1(z0)))))))))))))))))), 0'(1(2(2(3(1(4(0(4(1(1(1(4(2(2(1(1(z0))))))))))))))))), 1'(2(2(3(1(4(0(4(1(1(1(4(2(2(1(1(z0)))))))))))))))), 2'(2(3(1(4(0(4(1(1(1(4(2(2(1(1(z0))))))))))))))), 2'(3(1(4(0(4(1(1(1(4(2(2(1(1(z0)))))))))))))), 3'(1(4(0(4(1(1(1(4(2(2(1(1(z0))))))))))))), 1'(4(0(4(1(1(1(4(2(2(1(1(z0)))))))))))), 4'(0(4(1(1(1(4(2(2(1(1(z0))))))))))), 0'(4(1(1(1(4(2(2(1(1(z0)))))))))), 4'(1(1(1(4(2(2(1(1(z0))))))))), 1'(1(1(4(2(2(1(1(z0)))))))), 1'(1(4(2(2(1(1(z0))))))), 1'(4(2(2(1(1(z0)))))), 4'(2(2(1(1(z0))))), 2'(2(1(1(z0)))), 2'(1(1(z0))), 1'(1(z0)), 1'(z0))
   0'(c_1(c_4(c_2(c_3(c_1(c_1(c_2(c_3(c_2(c_3(c_1(c_0(c_1(c_0(c_2(c_0(c_2(c_3(c_2(z0)))))))))))))))))))) -> c12(3'(1(3(2(0(4(1(3(2(1(0(4(0(4(4(3(2(1(4(3(z0)))))))))))))))))))), 1'(3(2(0(4(1(3(2(1(0(4(0(4(4(3(2(1(4(3(z0))))))))))))))))))), 3'(2(0(4(1(3(2(1(0(4(0(4(4(3(2(1(4(3(z0)))))))))))))))))), 2'(0(4(1(3(2(1(0(4(0(4(4(3(2(1(4(3(z0))))))))))))))))), 0'(4(1(3(2(1(0(4(0(4(4(3(2(1(4(3(z0)))))))))))))))), 4'(1(3(2(1(0(4(0(4(4(3(2(1(4(3(z0))))))))))))))), 1'(3(2(1(0(4(0(4(4(3(2(1(4(3(z0)))))))))))))), 3'(2(1(0(4(0(4(4(3(2(1(4(3(z0))))))))))))), 2'(1(0(4(0(4(4(3(2(1(4(3(z0)))))))))))), 1'(0(4(0(4(4(3(2(1(4(3(z0))))))))))), 0'(4(0(4(4(3(2(1(4(3(z0)))))))))), 4'(0(4(4(3(2(1(4(3(z0))))))))), 0'(4(4(3(2(1(4(3(z0)))))))), 4'(4(3(2(1(4(3(z0))))))), 4'(3(2(1(4(3(z0)))))), 3'(2(1(4(3(z0))))), 2'(1(4(3(z0)))), 1'(4(3(z0))), 4'(3(z0)), 3'(z0))
   0'(c_3(c_0(c_0(c_1(c_1(c_4(c_3(c_4(c_3(c_0(c_4(c_2(c_1(c_4(c_3(c_4(c_2(c_1(c_2(z0)))))))))))))))))))) -> c13(1'(4(0(1(2(2(2(3(4(4(2(4(2(2(1(3(1(4(2(4(z0)))))))))))))))))))), 4'(0(1(2(2(2(3(4(4(2(4(2(2(1(3(1(4(2(4(z0))))))))))))))))))), 0'(1(2(2(2(3(4(4(2(4(2(2(1(3(1(4(2(4(z0)))))))))))))))))), 1'(2(2(2(3(4(4(2(4(2(2(1(3(1(4(2(4(z0))))))))))))))))), 2'(2(2(3(4(4(2(4(2(2(1(3(1(4(2(4(z0)))))))))))))))), 2'(2(3(4(4(2(4(2(2(1(3(1(4(2(4(z0))))))))))))))), 2'(3(4(4(2(4(2(2(1(3(1(4(2(4(z0)))))))))))))), 3'(4(4(2(4(2(2(1(3(1(4(2(4(z0))))))))))))), 4'(4(2(4(2(2(1(3(1(4(2(4(z0)))))))))))), 4'(2(4(2(2(1(3(1(4(2(4(z0))))))))))), 2'(4(2(2(1(3(1(4(2(4(z0)))))))))), 4'(2(2(1(3(1(4(2(4(z0))))))))), 2'(2(1(3(1(4(2(4(z0)))))))), 2'(1(3(1(4(2(4(z0))))))), 1'(3(1(4(2(4(z0)))))), 3'(1(4(2(4(z0))))), 1'(4(2(4(z0)))), 4'(2(4(z0))), 2'(4(z0)), 4'(z0))
   0'(c_0(c_0(c_0(c_1(c_0(c_2(c_2(c_3(c_2(c_1(c_1(c_0(c_3(c_2(c_1(c_1(c_1(c_2(c_4(z0)))))))))))))))))))) -> c14(0'(3(2(3(3(2(1(4(2(2(2(1(0(0(2(0(1(2(2(4(z0)))))))))))))))))))), 3'(2(3(3(2(1(4(2(2(2(1(0(0(2(0(1(2(2(4(z0))))))))))))))))))), 2'(3(3(2(1(4(2(2(2(1(0(0(2(0(1(2(2(4(z0)))))))))))))))))), 3'(3(2(1(4(2(2(2(1(0(0(2(0(1(2(2(4(z0))))))))))))))))), 3'(2(1(4(2(2(2(1(0(0(2(0(1(2(2(4(z0)))))))))))))))), 2'(1(4(2(2(2(1(0(0(2(0(1(2(2(4(z0))))))))))))))), 1'(4(2(2(2(1(0(0(2(0(1(2(2(4(z0)))))))))))))), 4'(2(2(2(1(0(0(2(0(1(2(2(4(z0))))))))))))), 2'(2(2(1(0(0(2(0(1(2(2(4(z0)))))))))))), 2'(2(1(0(0(2(0(1(2(2(4(z0))))))))))), 2'(1(0(0(2(0(1(2(2(4(z0)))))))))), 1'(0(0(2(0(1(2(2(4(z0))))))))), 0'(0(2(0(1(2(2(4(z0)))))))), 0'(2(0(1(2(2(4(z0))))))), 2'(0(1(2(2(4(z0)))))), 0'(1(2(2(4(z0))))), 1'(2(2(4(z0)))), 2'(2(4(z0))), 2'(4(z0)), 4'(z0))
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   4'(c_1(c_1(c_0(c_3(c_0(c_1(c_3(c_0(c_4(c_4(c_2(c_1(c_2(c_4(c_2(c_0(c_0(c_3(c_0(z0)))))))))))))))))))) -> c107(2'(3(2(0(1(4(4(4(3(2(3(3(1(4(3(4(2(0(1(3(z0)))))))))))))))))))), 3'(2(0(1(4(4(4(3(2(3(3(1(4(3(4(2(0(1(3(z0))))))))))))))))))), 2'(0(1(4(4(4(3(2(3(3(1(4(3(4(2(0(1(3(z0)))))))))))))))))), 0'(1(4(4(4(3(2(3(3(1(4(3(4(2(0(1(3(z0))))))))))))))))), 1'(4(4(4(3(2(3(3(1(4(3(4(2(0(1(3(z0)))))))))))))))), 4'(4(4(3(2(3(3(1(4(3(4(2(0(1(3(z0))))))))))))))), 4'(4(3(2(3(3(1(4(3(4(2(0(1(3(z0)))))))))))))), 4'(3(2(3(3(1(4(3(4(2(0(1(3(z0))))))))))))), 3'(2(3(3(1(4(3(4(2(0(1(3(z0)))))))))))), 2'(3(3(1(4(3(4(2(0(1(3(z0))))))))))), 3'(3(1(4(3(4(2(0(1(3(z0)))))))))), 3'(1(4(3(4(2(0(1(3(z0))))))))), 1'(4(3(4(2(0(1(3(z0)))))))), 4'(3(4(2(0(1(3(z0))))))), 3'(4(2(0(1(3(z0)))))), 4'(2(0(1(3(z0))))), 2'(0(1(3(z0)))), 0'(1(3(z0))), 1'(3(z0)), 3'(z0))
   4'(c_3(c_3(c_2(c_2(c_1(c_3(c_4(c_4(c_2(c_4(c_2(c_3(c_0(c_0(c_2(c_2(c_3(c_2(c_4(z0)))))))))))))))))))) -> c108(3'(2(2(1(1(0(2(2(4(0(0(0(2(1(3(1(0(4(3(4(z0)))))))))))))))))))), 2'(2(1(1(0(2(2(4(0(0(0(2(1(3(1(0(4(3(4(z0))))))))))))))))))), 2'(1(1(0(2(2(4(0(0(0(2(1(3(1(0(4(3(4(z0)))))))))))))))))), 1'(1(0(2(2(4(0(0(0(2(1(3(1(0(4(3(4(z0))))))))))))))))), 1'(0(2(2(4(0(0(0(2(1(3(1(0(4(3(4(z0)))))))))))))))), 0'(2(2(4(0(0(0(2(1(3(1(0(4(3(4(z0))))))))))))))), 2'(2(4(0(0(0(2(1(3(1(0(4(3(4(z0)))))))))))))), 2'(4(0(0(0(2(1(3(1(0(4(3(4(z0))))))))))))), 4'(0(0(0(2(1(3(1(0(4(3(4(z0)))))))))))), 0'(0(0(2(1(3(1(0(4(3(4(z0))))))))))), 0'(0(2(1(3(1(0(4(3(4(z0)))))))))), 0'(2(1(3(1(0(4(3(4(z0))))))))), 2'(1(3(1(0(4(3(4(z0)))))))), 1'(3(1(0(4(3(4(z0))))))), 3'(1(0(4(3(4(z0)))))), 1'(0(4(3(4(z0))))), 0'(4(3(4(z0)))), 4'(3(4(z0))), 3'(4(z0)), 4'(z0))
   4'(c_1(c_0(c_2(c_0(c_3(c_2(c_1(c_1(c_3(c_1(c_1(c_0(c_1(c_1(c_2(c_0(c_0(c_4(c_4(z0)))))))))))))))))))) -> c109(2'(1(4(2(2(2(2(2(2(2(0(1(0(3(1(0(1(1(4(0(z0)))))))))))))))))))), 1'(4(2(2(2(2(2(2(2(0(1(0(3(1(0(1(1(4(0(z0))))))))))))))))))), 4'(2(2(2(2(2(2(2(0(1(0(3(1(0(1(1(4(0(z0)))))))))))))))))), 2'(2(2(2(2(2(2(0(1(0(3(1(0(1(1(4(0(z0))))))))))))))))), 2'(2(2(2(2(2(0(1(0(3(1(0(1(1(4(0(z0)))))))))))))))), 2'(2(2(2(2(0(1(0(3(1(0(1(1(4(0(z0))))))))))))))), 2'(2(2(2(0(1(0(3(1(0(1(1(4(0(z0)))))))))))))), 2'(2(2(0(1(0(3(1(0(1(1(4(0(z0))))))))))))), 2'(2(0(1(0(3(1(0(1(1(4(0(z0)))))))))))), 2'(0(1(0(3(1(0(1(1(4(0(z0))))))))))), 0'(1(0(3(1(0(1(1(4(0(z0)))))))))), 1'(0(3(1(0(1(1(4(0(z0))))))))), 0'(3(1(0(1(1(4(0(z0)))))))), 3'(1(0(1(1(4(0(z0))))))), 1'(0(1(1(4(0(z0)))))), 0'(1(1(4(0(z0))))), 1'(1(4(0(z0)))), 1'(4(0(z0))), 4'(0(z0)), 0'(z0))
   4'(c_1(c_1(c_1(c_2(c_2(c_3(c_3(c_3(c_4(c_4(c_0(c_2(c_0(c_2(c_1(c_0(c_1(c_0(c_0(z0)))))))))))))))))))) -> c110(1'(1(0(3(4(0(2(3(1(4(2(4(1(0(4(0(3(1(1(4(z0)))))))))))))))))))), 1'(0(3(4(0(2(3(1(4(2(4(1(0(4(0(3(1(1(4(z0))))))))))))))))))), 0'(3(4(0(2(3(1(4(2(4(1(0(4(0(3(1(1(4(z0)))))))))))))))))), 3'(4(0(2(3(1(4(2(4(1(0(4(0(3(1(1(4(z0))))))))))))))))), 4'(0(2(3(1(4(2(4(1(0(4(0(3(1(1(4(z0)))))))))))))))), 0'(2(3(1(4(2(4(1(0(4(0(3(1(1(4(z0))))))))))))))), 2'(3(1(4(2(4(1(0(4(0(3(1(1(4(z0)))))))))))))), 3'(1(4(2(4(1(0(4(0(3(1(1(4(z0))))))))))))), 1'(4(2(4(1(0(4(0(3(1(1(4(z0)))))))))))), 4'(2(4(1(0(4(0(3(1(1(4(z0))))))))))), 2'(4(1(0(4(0(3(1(1(4(z0)))))))))), 4'(1(0(4(0(3(1(1(4(z0))))))))), 1'(0(4(0(3(1(1(4(z0)))))))), 0'(4(0(3(1(1(4(z0))))))), 4'(0(3(1(1(4(z0)))))), 0'(3(1(1(4(z0))))), 3'(1(1(4(z0)))), 1'(1(4(z0))), 1'(4(z0)), 4'(z0))
   4'(c_4(c_1(c_1(c_2(c_0(c_1(c_0(c_2(c_2(c_1(c_0(c_0(c_1(c_0(c_0(c_1(c_1(c_3(c_2(z0)))))))))))))))))))) -> c111(3'(1(4(1(4(4(3(1(2(3(3(2(1(3(3(1(1(3(2(4(z0)))))))))))))))))))), 1'(4(1(4(4(3(1(2(3(3(2(1(3(3(1(1(3(2(4(z0))))))))))))))))))), 4'(1(4(4(3(1(2(3(3(2(1(3(3(1(1(3(2(4(z0)))))))))))))))))), 1'(4(4(3(1(2(3(3(2(1(3(3(1(1(3(2(4(z0))))))))))))))))), 4'(4(3(1(2(3(3(2(1(3(3(1(1(3(2(4(z0)))))))))))))))), 4'(3(1(2(3(3(2(1(3(3(1(1(3(2(4(z0))))))))))))))), 3'(1(2(3(3(2(1(3(3(1(1(3(2(4(z0)))))))))))))), 1'(2(3(3(2(1(3(3(1(1(3(2(4(z0))))))))))))), 2'(3(3(2(1(3(3(1(1(3(2(4(z0)))))))))))), 3'(3(2(1(3(3(1(1(3(2(4(z0))))))))))), 3'(2(1(3(3(1(1(3(2(4(z0)))))))))), 2'(1(3(3(1(1(3(2(4(z0))))))))), 1'(3(3(1(1(3(2(4(z0)))))))), 3'(3(1(1(3(2(4(z0))))))), 3'(1(1(3(2(4(z0)))))), 1'(1(3(2(4(z0))))), 1'(3(2(4(z0)))), 3'(2(4(z0))), 2'(4(z0)), 4'(z0))
   4'(c_4(c_3(c_4(c_4(c_2(c_4(c_1(c_1(c_0(c_2(c_3(c_1(c_0(c_3(c_1(c_2(c_2(c_4(c_0(z0)))))))))))))))))))) -> c112(1'(2(1(1(1(2(4(1(4(3(1(4(1(4(3(2(0(4(2(2(z0)))))))))))))))))))), 2'(1(1(1(2(4(1(4(3(1(4(1(4(3(2(0(4(2(2(z0))))))))))))))))))), 1'(1(1(2(4(1(4(3(1(4(1(4(3(2(0(4(2(2(z0)))))))))))))))))), 1'(1(2(4(1(4(3(1(4(1(4(3(2(0(4(2(2(z0))))))))))))))))), 1'(2(4(1(4(3(1(4(1(4(3(2(0(4(2(2(z0)))))))))))))))), 2'(4(1(4(3(1(4(1(4(3(2(0(4(2(2(z0))))))))))))))), 4'(1(4(3(1(4(1(4(3(2(0(4(2(2(z0)))))))))))))), 1'(4(3(1(4(1(4(3(2(0(4(2(2(z0))))))))))))), 4'(3(1(4(1(4(3(2(0(4(2(2(z0)))))))))))), 3'(1(4(1(4(3(2(0(4(2(2(z0))))))))))), 1'(4(1(4(3(2(0(4(2(2(z0)))))))))), 4'(1(4(3(2(0(4(2(2(z0))))))))), 1'(4(3(2(0(4(2(2(z0)))))))), 4'(3(2(0(4(2(2(z0))))))), 3'(2(0(4(2(2(z0)))))), 2'(0(4(2(2(z0))))), 0'(4(2(2(z0)))), 4'(2(2(z0))), 2'(2(z0)), 2'(z0))
   4'(c_0(c_4(c_3(c_0(c_0(c_2(c_1(c_2(c_2(c_0(c_3(c_0(c_3(c_1(c_1(c_1(c_3(c_3(c_3(z0)))))))))))))))))))) -> c113(4'(1(2(1(1(2(2(1(1(2(0(1(0(2(4(4(1(1(1(0(z0)))))))))))))))))))), 1'(2(1(1(2(2(1(1(2(0(1(0(2(4(4(1(1(1(0(z0))))))))))))))))))), 2'(1(1(2(2(1(1(2(0(1(0(2(4(4(1(1(1(0(z0)))))))))))))))))), 1'(1(2(2(1(1(2(0(1(0(2(4(4(1(1(1(0(z0))))))))))))))))), 1'(2(2(1(1(2(0(1(0(2(4(4(1(1(1(0(z0)))))))))))))))), 2'(2(1(1(2(0(1(0(2(4(4(1(1(1(0(z0))))))))))))))), 2'(1(1(2(0(1(0(2(4(4(1(1(1(0(z0)))))))))))))), 1'(1(2(0(1(0(2(4(4(1(1(1(0(z0))))))))))))), 1'(2(0(1(0(2(4(4(1(1(1(0(z0)))))))))))), 2'(0(1(0(2(4(4(1(1(1(0(z0))))))))))), 0'(1(0(2(4(4(1(1(1(0(z0)))))))))), 1'(0(2(4(4(1(1(1(0(z0))))))))), 0'(2(4(4(1(1(1(0(z0)))))))), 2'(4(4(1(1(1(0(z0))))))), 4'(4(1(1(1(0(z0)))))), 4'(1(1(1(0(z0))))), 1'(1(1(0(z0)))), 1'(1(0(z0))), 1'(0(z0)), 0'(z0))
S tuples:
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   0'(c_1(c_4(c_2(c_3(c_1(c_1(c_2(c_3(c_2(c_3(c_1(c_0(c_1(c_0(c_2(c_0(c_2(c_3(c_2(z0)))))))))))))))))))) -> c12(3'(1(3(2(0(4(1(3(2(1(0(4(0(4(4(3(2(1(4(3(z0)))))))))))))))))))), 1'(3(2(0(4(1(3(2(1(0(4(0(4(4(3(2(1(4(3(z0))))))))))))))))))), 3'(2(0(4(1(3(2(1(0(4(0(4(4(3(2(1(4(3(z0)))))))))))))))))), 2'(0(4(1(3(2(1(0(4(0(4(4(3(2(1(4(3(z0))))))))))))))))), 0'(4(1(3(2(1(0(4(0(4(4(3(2(1(4(3(z0)))))))))))))))), 4'(1(3(2(1(0(4(0(4(4(3(2(1(4(3(z0))))))))))))))), 1'(3(2(1(0(4(0(4(4(3(2(1(4(3(z0)))))))))))))), 3'(2(1(0(4(0(4(4(3(2(1(4(3(z0))))))))))))), 2'(1(0(4(0(4(4(3(2(1(4(3(z0)))))))))))), 1'(0(4(0(4(4(3(2(1(4(3(z0))))))))))), 0'(4(0(4(4(3(2(1(4(3(z0)))))))))), 4'(0(4(4(3(2(1(4(3(z0))))))))), 0'(4(4(3(2(1(4(3(z0)))))))), 4'(4(3(2(1(4(3(z0))))))), 4'(3(2(1(4(3(z0)))))), 3'(2(1(4(3(z0))))), 2'(1(4(3(z0)))), 1'(4(3(z0))), 4'(3(z0)), 3'(z0))
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   4'(c_3(c_2(c_3(c_2(c_2(c_1(c_2(c_0(c_3(c_0(c_0(c_0(c_1(c_1(c_3(c_2(c_4(c_3(c_4(z0)))))))))))))))))))) -> c105(1'(3(1(4(0(2(1(0(0(1(3(4(0(3(3(4(2(1(2(1(z0)))))))))))))))))))), 3'(1(4(0(2(1(0(0(1(3(4(0(3(3(4(2(1(2(1(z0))))))))))))))))))), 1'(4(0(2(1(0(0(1(3(4(0(3(3(4(2(1(2(1(z0)))))))))))))))))), 4'(0(2(1(0(0(1(3(4(0(3(3(4(2(1(2(1(z0))))))))))))))))), 0'(2(1(0(0(1(3(4(0(3(3(4(2(1(2(1(z0)))))))))))))))), 2'(1(0(0(1(3(4(0(3(3(4(2(1(2(1(z0))))))))))))))), 1'(0(0(1(3(4(0(3(3(4(2(1(2(1(z0)))))))))))))), 0'(0(1(3(4(0(3(3(4(2(1(2(1(z0))))))))))))), 0'(1(3(4(0(3(3(4(2(1(2(1(z0)))))))))))), 1'(3(4(0(3(3(4(2(1(2(1(z0))))))))))), 3'(4(0(3(3(4(2(1(2(1(z0)))))))))), 4'(0(3(3(4(2(1(2(1(z0))))))))), 0'(3(3(4(2(1(2(1(z0)))))))), 3'(3(4(2(1(2(1(z0))))))), 3'(4(2(1(2(1(z0)))))), 4'(2(1(2(1(z0))))), 2'(1(2(1(z0)))), 1'(2(1(z0))), 2'(1(z0)), 1'(z0))
   4'(c_0(c_2(c_1(c_3(c_3(c_4(c_4(c_0(c_0(c_0(c_3(c_2(c_3(c_4(c_4(c_4(c_3(c_2(c_3(z0)))))))))))))))))))) -> c106(4'(0(2(1(4(0(2(0(0(4(0(4(1(0(2(3(4(4(1(2(z0)))))))))))))))))))), 0'(2(1(4(0(2(0(0(4(0(4(1(0(2(3(4(4(1(2(z0))))))))))))))))))), 2'(1(4(0(2(0(0(4(0(4(1(0(2(3(4(4(1(2(z0)))))))))))))))))), 1'(4(0(2(0(0(4(0(4(1(0(2(3(4(4(1(2(z0))))))))))))))))), 4'(0(2(0(0(4(0(4(1(0(2(3(4(4(1(2(z0)))))))))))))))), 0'(2(0(0(4(0(4(1(0(2(3(4(4(1(2(z0))))))))))))))), 2'(0(0(4(0(4(1(0(2(3(4(4(1(2(z0)))))))))))))), 0'(0(4(0(4(1(0(2(3(4(4(1(2(z0))))))))))))), 0'(4(0(4(1(0(2(3(4(4(1(2(z0)))))))))))), 4'(0(4(1(0(2(3(4(4(1(2(z0))))))))))), 0'(4(1(0(2(3(4(4(1(2(z0)))))))))), 4'(1(0(2(3(4(4(1(2(z0))))))))), 1'(0(2(3(4(4(1(2(z0)))))))), 0'(2(3(4(4(1(2(z0))))))), 2'(3(4(4(1(2(z0)))))), 3'(4(4(1(2(z0))))), 4'(4(1(2(z0)))), 4'(1(2(z0))), 1'(2(z0)), 2'(z0))
   4'(c_1(c_1(c_0(c_3(c_0(c_1(c_3(c_0(c_4(c_4(c_2(c_1(c_2(c_4(c_2(c_0(c_0(c_3(c_0(z0)))))))))))))))))))) -> c107(2'(3(2(0(1(4(4(4(3(2(3(3(1(4(3(4(2(0(1(3(z0)))))))))))))))))))), 3'(2(0(1(4(4(4(3(2(3(3(1(4(3(4(2(0(1(3(z0))))))))))))))))))), 2'(0(1(4(4(4(3(2(3(3(1(4(3(4(2(0(1(3(z0)))))))))))))))))), 0'(1(4(4(4(3(2(3(3(1(4(3(4(2(0(1(3(z0))))))))))))))))), 1'(4(4(4(3(2(3(3(1(4(3(4(2(0(1(3(z0)))))))))))))))), 4'(4(4(3(2(3(3(1(4(3(4(2(0(1(3(z0))))))))))))))), 4'(4(3(2(3(3(1(4(3(4(2(0(1(3(z0)))))))))))))), 4'(3(2(3(3(1(4(3(4(2(0(1(3(z0))))))))))))), 3'(2(3(3(1(4(3(4(2(0(1(3(z0)))))))))))), 2'(3(3(1(4(3(4(2(0(1(3(z0))))))))))), 3'(3(1(4(3(4(2(0(1(3(z0)))))))))), 3'(1(4(3(4(2(0(1(3(z0))))))))), 1'(4(3(4(2(0(1(3(z0)))))))), 4'(3(4(2(0(1(3(z0))))))), 3'(4(2(0(1(3(z0)))))), 4'(2(0(1(3(z0))))), 2'(0(1(3(z0)))), 0'(1(3(z0))), 1'(3(z0)), 3'(z0))
   4'(c_3(c_3(c_2(c_2(c_1(c_3(c_4(c_4(c_2(c_4(c_2(c_3(c_0(c_0(c_2(c_2(c_3(c_2(c_4(z0)))))))))))))))))))) -> c108(3'(2(2(1(1(0(2(2(4(0(0(0(2(1(3(1(0(4(3(4(z0)))))))))))))))))))), 2'(2(1(1(0(2(2(4(0(0(0(2(1(3(1(0(4(3(4(z0))))))))))))))))))), 2'(1(1(0(2(2(4(0(0(0(2(1(3(1(0(4(3(4(z0)))))))))))))))))), 1'(1(0(2(2(4(0(0(0(2(1(3(1(0(4(3(4(z0))))))))))))))))), 1'(0(2(2(4(0(0(0(2(1(3(1(0(4(3(4(z0)))))))))))))))), 0'(2(2(4(0(0(0(2(1(3(1(0(4(3(4(z0))))))))))))))), 2'(2(4(0(0(0(2(1(3(1(0(4(3(4(z0)))))))))))))), 2'(4(0(0(0(2(1(3(1(0(4(3(4(z0))))))))))))), 4'(0(0(0(2(1(3(1(0(4(3(4(z0)))))))))))), 0'(0(0(2(1(3(1(0(4(3(4(z0))))))))))), 0'(0(2(1(3(1(0(4(3(4(z0)))))))))), 0'(2(1(3(1(0(4(3(4(z0))))))))), 2'(1(3(1(0(4(3(4(z0)))))))), 1'(3(1(0(4(3(4(z0))))))), 3'(1(0(4(3(4(z0)))))), 1'(0(4(3(4(z0))))), 0'(4(3(4(z0)))), 4'(3(4(z0))), 3'(4(z0)), 4'(z0))
   4'(c_1(c_0(c_2(c_0(c_3(c_2(c_1(c_1(c_3(c_1(c_1(c_0(c_1(c_1(c_2(c_0(c_0(c_4(c_4(z0)))))))))))))))))))) -> c109(2'(1(4(2(2(2(2(2(2(2(0(1(0(3(1(0(1(1(4(0(z0)))))))))))))))))))), 1'(4(2(2(2(2(2(2(2(0(1(0(3(1(0(1(1(4(0(z0))))))))))))))))))), 4'(2(2(2(2(2(2(2(0(1(0(3(1(0(1(1(4(0(z0)))))))))))))))))), 2'(2(2(2(2(2(2(0(1(0(3(1(0(1(1(4(0(z0))))))))))))))))), 2'(2(2(2(2(2(0(1(0(3(1(0(1(1(4(0(z0)))))))))))))))), 2'(2(2(2(2(0(1(0(3(1(0(1(1(4(0(z0))))))))))))))), 2'(2(2(2(0(1(0(3(1(0(1(1(4(0(z0)))))))))))))), 2'(2(2(0(1(0(3(1(0(1(1(4(0(z0))))))))))))), 2'(2(0(1(0(3(1(0(1(1(4(0(z0)))))))))))), 2'(0(1(0(3(1(0(1(1(4(0(z0))))))))))), 0'(1(0(3(1(0(1(1(4(0(z0)))))))))), 1'(0(3(1(0(1(1(4(0(z0))))))))), 0'(3(1(0(1(1(4(0(z0)))))))), 3'(1(0(1(1(4(0(z0))))))), 1'(0(1(1(4(0(z0)))))), 0'(1(1(4(0(z0))))), 1'(1(4(0(z0)))), 1'(4(0(z0))), 4'(0(z0)), 0'(z0))
   4'(c_1(c_1(c_1(c_2(c_2(c_3(c_3(c_3(c_4(c_4(c_0(c_2(c_0(c_2(c_1(c_0(c_1(c_0(c_0(z0)))))))))))))))))))) -> c110(1'(1(0(3(4(0(2(3(1(4(2(4(1(0(4(0(3(1(1(4(z0)))))))))))))))))))), 1'(0(3(4(0(2(3(1(4(2(4(1(0(4(0(3(1(1(4(z0))))))))))))))))))), 0'(3(4(0(2(3(1(4(2(4(1(0(4(0(3(1(1(4(z0)))))))))))))))))), 3'(4(0(2(3(1(4(2(4(1(0(4(0(3(1(1(4(z0))))))))))))))))), 4'(0(2(3(1(4(2(4(1(0(4(0(3(1(1(4(z0)))))))))))))))), 0'(2(3(1(4(2(4(1(0(4(0(3(1(1(4(z0))))))))))))))), 2'(3(1(4(2(4(1(0(4(0(3(1(1(4(z0)))))))))))))), 3'(1(4(2(4(1(0(4(0(3(1(1(4(z0))))))))))))), 1'(4(2(4(1(0(4(0(3(1(1(4(z0)))))))))))), 4'(2(4(1(0(4(0(3(1(1(4(z0))))))))))), 2'(4(1(0(4(0(3(1(1(4(z0)))))))))), 4'(1(0(4(0(3(1(1(4(z0))))))))), 1'(0(4(0(3(1(1(4(z0)))))))), 0'(4(0(3(1(1(4(z0))))))), 4'(0(3(1(1(4(z0)))))), 0'(3(1(1(4(z0))))), 3'(1(1(4(z0)))), 1'(1(4(z0))), 1'(4(z0)), 4'(z0))
   4'(c_4(c_1(c_1(c_2(c_0(c_1(c_0(c_2(c_2(c_1(c_0(c_0(c_1(c_0(c_0(c_1(c_1(c_3(c_2(z0)))))))))))))))))))) -> c111(3'(1(4(1(4(4(3(1(2(3(3(2(1(3(3(1(1(3(2(4(z0)))))))))))))))))))), 1'(4(1(4(4(3(1(2(3(3(2(1(3(3(1(1(3(2(4(z0))))))))))))))))))), 4'(1(4(4(3(1(2(3(3(2(1(3(3(1(1(3(2(4(z0)))))))))))))))))), 1'(4(4(3(1(2(3(3(2(1(3(3(1(1(3(2(4(z0))))))))))))))))), 4'(4(3(1(2(3(3(2(1(3(3(1(1(3(2(4(z0)))))))))))))))), 4'(3(1(2(3(3(2(1(3(3(1(1(3(2(4(z0))))))))))))))), 3'(1(2(3(3(2(1(3(3(1(1(3(2(4(z0)))))))))))))), 1'(2(3(3(2(1(3(3(1(1(3(2(4(z0))))))))))))), 2'(3(3(2(1(3(3(1(1(3(2(4(z0)))))))))))), 3'(3(2(1(3(3(1(1(3(2(4(z0))))))))))), 3'(2(1(3(3(1(1(3(2(4(z0)))))))))), 2'(1(3(3(1(1(3(2(4(z0))))))))), 1'(3(3(1(1(3(2(4(z0)))))))), 3'(3(1(1(3(2(4(z0))))))), 3'(1(1(3(2(4(z0)))))), 1'(1(3(2(4(z0))))), 1'(3(2(4(z0)))), 3'(2(4(z0))), 2'(4(z0)), 4'(z0))
   4'(c_4(c_3(c_4(c_4(c_2(c_4(c_1(c_1(c_0(c_2(c_3(c_1(c_0(c_3(c_1(c_2(c_2(c_4(c_0(z0)))))))))))))))))))) -> c112(1'(2(1(1(1(2(4(1(4(3(1(4(1(4(3(2(0(4(2(2(z0)))))))))))))))))))), 2'(1(1(1(2(4(1(4(3(1(4(1(4(3(2(0(4(2(2(z0))))))))))))))))))), 1'(1(1(2(4(1(4(3(1(4(1(4(3(2(0(4(2(2(z0)))))))))))))))))), 1'(1(2(4(1(4(3(1(4(1(4(3(2(0(4(2(2(z0))))))))))))))))), 1'(2(4(1(4(3(1(4(1(4(3(2(0(4(2(2(z0)))))))))))))))), 2'(4(1(4(3(1(4(1(4(3(2(0(4(2(2(z0))))))))))))))), 4'(1(4(3(1(4(1(4(3(2(0(4(2(2(z0)))))))))))))), 1'(4(3(1(4(1(4(3(2(0(4(2(2(z0))))))))))))), 4'(3(1(4(1(4(3(2(0(4(2(2(z0)))))))))))), 3'(1(4(1(4(3(2(0(4(2(2(z0))))))))))), 1'(4(1(4(3(2(0(4(2(2(z0)))))))))), 4'(1(4(3(2(0(4(2(2(z0))))))))), 1'(4(3(2(0(4(2(2(z0)))))))), 4'(3(2(0(4(2(2(z0))))))), 3'(2(0(4(2(2(z0)))))), 2'(0(4(2(2(z0))))), 0'(4(2(2(z0)))), 4'(2(2(z0))), 2'(2(z0)), 2'(z0))
   4'(c_0(c_4(c_3(c_0(c_0(c_2(c_1(c_2(c_2(c_0(c_3(c_0(c_3(c_1(c_1(c_1(c_3(c_3(c_3(z0)))))))))))))))))))) -> c113(4'(1(2(1(1(2(2(1(1(2(0(1(0(2(4(4(1(1(1(0(z0)))))))))))))))))))), 1'(2(1(1(2(2(1(1(2(0(1(0(2(4(4(1(1(1(0(z0))))))))))))))))))), 2'(1(1(2(2(1(1(2(0(1(0(2(4(4(1(1(1(0(z0)))))))))))))))))), 1'(1(2(2(1(1(2(0(1(0(2(4(4(1(1(1(0(z0))))))))))))))))), 1'(2(2(1(1(2(0(1(0(2(4(4(1(1(1(0(z0)))))))))))))))), 2'(2(1(1(2(0(1(0(2(4(4(1(1(1(0(z0))))))))))))))), 2'(1(1(2(0(1(0(2(4(4(1(1(1(0(z0)))))))))))))), 1'(1(2(0(1(0(2(4(4(1(1(1(0(z0))))))))))))), 1'(2(0(1(0(2(4(4(1(1(1(0(z0)))))))))))), 2'(0(1(0(2(4(4(1(1(1(0(z0))))))))))), 0'(1(0(2(4(4(1(1(1(0(z0)))))))))), 1'(0(2(4(4(1(1(1(0(z0))))))))), 0'(2(4(4(1(1(1(0(z0)))))))), 2'(4(4(1(1(1(0(z0))))))), 4'(4(1(1(1(0(z0)))))), 4'(1(1(1(0(z0))))), 1'(1(1(0(z0)))), 1'(1(0(z0))), 1'(0(z0)), 0'(z0))
K tuples:none
Defined Rule Symbols:   1_1, 3_1, 0_1, 4_1, 2_1, encArg_1, encode_0_1, encode_1_1, encode_2_1, encode_3_1, encode_4_1

Defined Pair Symbols:   ENCARG_1, ENCODE_0_1, ENCODE_1_1, ENCODE_2_1, ENCODE_3_1, ENCODE_4_1, 0'_1, 1'_1, 2'_1, 3'_1, 4'_1

Compound Symbols:   c_2, c1_2, c2_2, c3_2, c4_2, c5_2, c6_2, c7_2, c8_2, c9_2, c11_20, c12_20, c13_20, c14_20, c15_20, c16_20, c17_20, c18_20, c19_20, c20_20, c21_20, c22_20, c23_20, c24_20, c25_20, c26_20, c27_20, c28_20, c29_20, c30_20, c32_20, c33_20, c34_20, c35_20, c36_20, c37_20, c38_20, c39_20, c40_20, c41_20, c42_20, c44_20, c45_20, c46_20, c47_20, c48_20, c49_20, c50_20, c51_20, c52_20, c53_20, c54_20, c55_20, c56_20, c57_20, c58_20, c59_20, c60_20, c61_20, c62_20, c63_20, c65_20, c66_20, c67_20, c68_20, c69_20, c70_20, c71_20, c72_20, c73_20, c74_20, c75_20, c76_20, c77_20, c78_20, c79_20, c80_20, c81_20, c82_20, c83_20, c84_20, c85_20, c86_20, c87_20, c88_20, c90_20, c91_20, c92_20, c93_20, c94_20, c95_20, c96_20, c97_20, c98_20, c99_20, c100_20, c101_20, c102_20, c103_20, c104_20, c105_20, c106_20, c107_20, c108_20, c109_20, c110_20, c111_20, c112_20, c113_20


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

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

(42)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(cons_0(z0)) -> 0(encArg(z0))
   encArg(cons_1(z0)) -> 1(encArg(z0))
   encArg(cons_2(z0)) -> 2(encArg(z0))
   encArg(cons_3(z0)) -> 3(encArg(z0))
   encArg(cons_4(z0)) -> 4(encArg(z0))
   encode_0(z0) -> 0(encArg(z0))
   encode_1(z0) -> 1(encArg(z0))
   encode_2(z0) -> 2(encArg(z0))
   encode_3(z0) -> 3(encArg(z0))
   encode_4(z0) -> 4(encArg(z0))
   0(z0) -> c_0(z0)
   0(c_4(c_4(c_4(c_0(c_2(c_2(c_1(c_3(c_2(c_1(c_0(c_4(c_1(c_3(c_0(c_1(c_3(c_4(c_4(z0)))))))))))))))))))) -> 3(2(3(0(1(2(2(3(1(4(0(4(1(1(1(4(2(2(1(1(z0))))))))))))))))))))
   0(c_1(c_4(c_2(c_3(c_1(c_1(c_2(c_3(c_2(c_3(c_1(c_0(c_1(c_0(c_2(c_0(c_2(c_3(c_2(z0)))))))))))))))))))) -> 3(1(3(2(0(4(1(3(2(1(0(4(0(4(4(3(2(1(4(3(z0))))))))))))))))))))
   0(c_3(c_0(c_0(c_1(c_1(c_4(c_3(c_4(c_3(c_0(c_4(c_2(c_1(c_4(c_3(c_4(c_2(c_1(c_2(z0)))))))))))))))))))) -> 1(4(0(1(2(2(2(3(4(4(2(4(2(2(1(3(1(4(2(4(z0))))))))))))))))))))
   0(c_0(c_0(c_0(c_1(c_0(c_2(c_2(c_3(c_2(c_1(c_1(c_0(c_3(c_2(c_1(c_1(c_1(c_2(c_4(z0)))))))))))))))))))) -> 0(3(2(3(3(2(1(4(2(2(2(1(0(0(2(0(1(2(2(4(z0))))))))))))))))))))
   0(c_2(c_1(c_4(c_2(c_4(c_3(c_4(c_0(c_0(c_3(c_0(c_2(c_4(c_1(c_4(c_4(c_0(c_1(c_1(z0)))))))))))))))))))) -> 4(4(3(3(1(4(0(3(2(3(3(1(4(0(1(2(1(4(1(0(z0))))))))))))))))))))
   0(c_0(c_4(c_0(c_2(c_1(c_4(c_1(c_4(c_0(c_1(c_2(c_0(c_0(c_4(c_1(c_0(c_3(c_2(c_1(z0)))))))))))))))))))) -> 2(3(3(3(1(3(2(4(2(1(1(3(0(2(1(2(3(4(2(1(z0))))))))))))))))))))
   0(c_1(c_4(c_3(c_4(c_0(c_1(c_0(c_2(c_3(c_4(c_0(c_3(c_4(c_2(c_0(c_1(c_4(c_0(c_3(z0)))))))))))))))))))) -> 0(3(3(4(2(1(0(1(3(3(0(3(2(4(1(3(2(3(1(4(z0))))))))))))))))))))
   0(c_0(c_2(c_2(c_2(c_1(c_2(c_3(c_0(c_2(c_0(c_4(c_4(c_0(c_3(c_3(c_3(c_0(c_0(c_3(z0)))))))))))))))))))) -> 0(0(0(3(3(1(1(1(4(4(1(4(3(3(0(3(3(2(4(3(z0))))))))))))))))))))
   0(c_4(c_4(c_1(c_1(c_0(c_1(c_4(c_1(c_1(c_1(c_4(c_0(c_1(c_0(c_0(c_4(c_1(c_4(c_3(z0)))))))))))))))))))) -> 2(2(1(0(2(2(3(4(2(1(2(0(3(0(3(3(1(1(4(2(z0))))))))))))))))))))
   0(c_2(c_0(c_1(c_2(c_0(c_3(c_1(c_2(c_1(c_3(c_3(c_1(c_3(c_2(c_0(c_0(c_4(c_2(c_1(z0)))))))))))))))))))) -> 1(2(2(0(4(4(0(3(1(4(1(3(4(3(3(4(4(4(2(1(z0))))))))))))))))))))
   0(c_3(c_2(c_0(c_1(c_4(c_3(c_0(c_2(c_4(c_0(c_2(c_0(c_0(c_1(c_4(c_4(c_2(c_4(c_4(z0)))))))))))))))))))) -> 4(0(0(0(4(4(2(1(3(1(0(1(2(2(2(4(4(4(2(3(z0))))))))))))))))))))
   0(c_2(c_1(c_4(c_4(c_4(c_3(c_4(c_2(c_1(c_1(c_0(c_0(c_1(c_4(c_4(c_2(c_0(c_3(c_4(z0)))))))))))))))))))) -> 1(0(1(4(2(1(0(2(4(4(4(0(1(1(3(1(3(4(3(1(z0))))))))))))))))))))
   0(c_4(c_1(c_1(c_1(c_2(c_1(c_4(c_3(c_2(c_4(c_4(c_2(c_2(c_4(c_2(c_0(c_4(c_1(c_1(z0)))))))))))))))))))) -> 2(1(1(4(2(2(3(1(3(1(2(2(2(4(1(3(3(4(3(0(z0))))))))))))))))))))
   0(c_4(c_4(c_3(c_2(c_0(c_4(c_1(c_0(c_4(c_3(c_1(c_1(c_0(c_2(c_1(c_1(c_3(c_2(c_1(z0)))))))))))))))))))) -> 2(1(2(2(1(2(3(2(1(2(4(2(4(2(3(2(3(4(4(1(z0))))))))))))))))))))
   0(c_2(c_4(c_3(c_1(c_4(c_0(c_3(c_3(c_4(c_4(c_2(c_2(c_4(c_4(c_0(c_4(c_1(c_0(c_0(z0)))))))))))))))))))) -> 4(2(1(0(1(3(3(4(0(0(2(3(3(4(3(1(4(1(0(4(z0))))))))))))))))))))
   0(c_1(c_4(c_0(c_3(c_1(c_3(c_3(c_0(c_3(c_1(c_4(c_4(c_1(c_1(c_1(c_4(c_0(c_4(c_0(z0)))))))))))))))))))) -> 3(2(0(3(2(4(3(4(4(2(1(0(1(4(1(3(1(4(4(4(z0))))))))))))))))))))
   0(c_2(c_3(c_4(c_2(c_2(c_4(c_4(c_1(c_0(c_3(c_2(c_2(c_4(c_2(c_2(c_3(c_1(c_1(c_4(z0)))))))))))))))))))) -> 1(3(1(4(0(3(1(1(4(3(3(2(2(1(2(0(2(0(3(4(z0))))))))))))))))))))
   0(c_1(c_4(c_1(c_3(c_1(c_0(c_2(c_4(c_1(c_3(c_0(c_4(c_3(c_1(c_3(c_1(c_1(c_1(c_0(z0)))))))))))))))))))) -> 3(2(1(1(4(1(2(1(4(0(2(1(1(4(4(0(1(2(2(1(z0))))))))))))))))))))
   0(c_1(c_3(c_0(c_2(c_4(c_3(c_0(c_3(c_1(c_0(c_2(c_4(c_2(c_2(c_0(c_3(c_4(c_1(c_1(z0)))))))))))))))))))) -> 4(0(2(4(3(1(3(1(0(2(3(3(2(1(0(4(4(1(2(1(z0))))))))))))))))))))
   0(c_2(c_1(c_2(c_1(c_0(c_2(c_3(c_0(c_0(c_4(c_2(c_3(c_1(c_4(c_0(c_3(c_1(c_3(c_1(z0)))))))))))))))))))) -> 3(1(2(3(4(3(0(2(2(2(1(2(2(3(4(2(1(4(3(1(z0))))))))))))))))))))
   1(z0) -> c_1(z0)
   1(c_0(c_0(c_4(c_0(c_0(c_1(c_2(c_3(c_0(c_1(c_4(c_1(c_3(c_0(c_2(c_1(c_4(c_0(c_0(z0)))))))))))))))))))) -> 4(1(2(4(1(3(3(4(3(3(3(1(2(2(4(1(0(3(3(1(z0))))))))))))))))))))
   1(c_1(c_0(c_2(c_4(c_4(c_4(c_1(c_2(c_4(c_4(c_1(c_0(c_4(c_2(c_2(c_1(c_3(c_0(c_3(z0)))))))))))))))))))) -> 2(1(1(1(1(3(3(4(3(1(1(4(4(2(1(3(1(0(0(3(z0))))))))))))))))))))
   1(c_4(c_1(c_3(c_0(c_1(c_1(c_1(c_1(c_0(c_4(c_0(c_0(c_3(c_0(c_3(c_2(c_4(c_3(c_4(z0)))))))))))))))))))) -> 1(4(4(0(4(0(0(2(4(0(4(3(2(1(2(4(2(4(3(1(z0))))))))))))))))))))
   1(c_4(c_2(c_4(c_4(c_3(c_3(c_4(c_3(c_3(c_4(c_1(c_4(c_1(c_2(c_3(c_4(c_1(c_1(c_2(z0)))))))))))))))))))) -> 3(2(2(0(3(0(2(2(1(2(1(0(3(4(1(3(1(2(1(2(z0))))))))))))))))))))
   1(c_0(c_0(c_0(c_3(c_2(c_4(c_3(c_1(c_2(c_3(c_0(c_2(c_4(c_1(c_0(c_1(c_2(c_4(c_2(z0)))))))))))))))))))) -> 2(0(0(4(4(1(4(3(2(1(3(1(3(0(4(1(1(4(0(2(z0))))))))))))))))))))
   1(c_4(c_1(c_2(c_3(c_0(c_0(c_2(c_3(c_4(c_1(c_4(c_0(c_2(c_0(c_4(c_1(c_1(c_2(c_0(z0)))))))))))))))))))) -> 4(3(1(2(1(4(4(3(4(3(2(2(1(3(2(1(3(4(1(4(z0))))))))))))))))))))
   1(c_3(c_4(c_3(c_0(c_3(c_1(c_4(c_3(c_2(c_4(c_0(c_1(c_0(c_0(c_1(c_3(c_3(c_1(c_1(z0)))))))))))))))))))) -> 1(2(2(4(3(1(4(4(3(1(1(0(3(3(0(3(0(1(0(4(z0))))))))))))))))))))
   1(c_2(c_4(c_4(c_0(c_0(c_4(c_3(c_0(c_2(c_2(c_3(c_0(c_0(c_4(c_4(c_3(c_3(c_3(c_2(z0)))))))))))))))))))) -> 4(2(3(2(1(0(4(3(3(1(3(3(1(4(2(0(0(1(4(3(z0))))))))))))))))))))
   1(c_0(c_1(c_1(c_3(c_3(c_0(c_2(c_0(c_2(c_2(c_1(c_0(c_4(c_1(c_0(c_4(c_3(c_1(c_4(z0)))))))))))))))))))) -> 1(2(4(1(0(0(0(1(4(2(0(0(4(4(4(1(4(3(1(4(z0))))))))))))))))))))
   1(c_2(c_0(c_3(c_1(c_0(c_2(c_0(c_4(c_1(c_4(c_4(c_2(c_4(c_0(c_4(c_3(c_4(c_4(c_3(z0)))))))))))))))))))) -> 2(1(4(4(4(1(4(1(1(2(4(1(1(2(2(1(1(0(0(0(z0))))))))))))))))))))
   1(c_4(c_2(c_3(c_1(c_4(c_2(c_2(c_0(c_4(c_2(c_3(c_0(c_1(c_3(c_2(c_1(c_3(c_3(c_4(z0)))))))))))))))))))) -> 1(4(1(3(4(3(0(1(4(0(2(1(0(1(1(0(3(1(2(2(z0))))))))))))))))))))
   2(z0) -> c_2(z0)
   2(c_1(c_3(c_3(c_4(c_1(c_4(c_0(c_4(c_0(c_3(c_0(c_0(c_2(c_4(c_1(c_4(c_0(c_0(c_3(z0)))))))))))))))))))) -> 1(0(0(4(3(3(0(3(2(2(4(3(2(2(1(1(3(1(4(1(z0))))))))))))))))))))
   2(c_4(c_2(c_3(c_0(c_2(c_3(c_2(c_2(c_3(c_2(c_1(c_0(c_3(c_4(c_1(c_3(c_1(c_0(c_1(z0)))))))))))))))))))) -> 1(3(0(4(4(1(3(2(1(0(2(4(1(0(2(2(0(4(4(1(z0))))))))))))))))))))
   2(c_2(c_2(c_0(c_0(c_0(c_3(c_4(c_4(c_0(c_2(c_1(c_2(c_0(c_0(c_2(c_0(c_3(c_0(c_0(z0)))))))))))))))))))) -> 4(2(3(4(0(4(2(1(0(3(1(1(1(3(0(0(3(1(2(0(z0))))))))))))))))))))
   2(c_0(c_0(c_3(c_3(c_1(c_0(c_4(c_2(c_3(c_1(c_2(c_3(c_0(c_4(c_1(c_3(c_0(c_4(c_4(z0)))))))))))))))))))) -> 4(0(3(4(3(3(1(2(1(4(1(4(4(3(0(3(0(1(0(0(z0))))))))))))))))))))
   2(c_3(c_0(c_4(c_0(c_2(c_4(c_4(c_4(c_2(c_1(c_2(c_0(c_3(c_2(c_2(c_1(c_1(c_3(c_0(z0)))))))))))))))))))) -> 2(1(1(1(4(4(1(1(4(0(2(3(2(4(1(0(2(4(2(1(z0))))))))))))))))))))
   2(c_4(c_3(c_4(c_4(c_4(c_4(c_3(c_2(c_4(c_4(c_2(c_3(c_3(c_1(c_1(c_0(c_4(c_2(c_2(z0)))))))))))))))))))) -> 4(1(4(3(4(2(2(1(2(1(4(4(3(1(0(4(3(4(0(0(z0))))))))))))))))))))
   2(c_2(c_3(c_3(c_0(c_2(c_0(c_3(c_0(c_1(c_4(c_3(c_2(c_2(c_1(c_0(c_2(c_2(c_4(c_4(z0)))))))))))))))))))) -> 4(1(2(4(2(1(4(2(2(0(3(0(1(4(1(2(4(3(4(0(z0))))))))))))))))))))
   2(c_3(c_0(c_4(c_1(c_3(c_1(c_3(c_0(c_0(c_1(c_1(c_1(c_1(c_2(c_3(c_1(c_4(c_2(c_1(z0)))))))))))))))))))) -> 1(0(2(2(2(3(3(1(0(4(3(1(4(2(2(1(1(0(3(1(z0))))))))))))))))))))
   2(c_0(c_0(c_0(c_0(c_1(c_4(c_4(c_3(c_1(c_3(c_3(c_2(c_2(c_1(c_4(c_4(c_2(c_3(c_1(z0)))))))))))))))))))) -> 2(4(1(0(1(4(3(1(2(2(2(1(1(1(3(4(4(0(1(2(z0))))))))))))))))))))
   2(c_3(c_0(c_2(c_4(c_0(c_1(c_0(c_3(c_4(c_3(c_3(c_1(c_4(c_1(c_0(c_4(c_3(c_2(c_2(z0)))))))))))))))))))) -> 3(1(3(1(2(2(0(4(1(3(1(1(4(2(3(4(4(4(4(4(z0))))))))))))))))))))
   2(c_2(c_3(c_3(c_1(c_3(c_1(c_2(c_0(c_0(c_4(c_3(c_4(c_2(c_2(c_0(c_2(c_2(c_4(c_0(z0)))))))))))))))))))) -> 2(1(2(0(4(4(1(0(2(4(1(3(2(1(3(1(0(2(3(3(z0))))))))))))))))))))
   2(c_1(c_1(c_3(c_2(c_4(c_3(c_0(c_1(c_4(c_2(c_0(c_3(c_1(c_2(c_0(c_4(c_0(c_3(c_2(z0)))))))))))))))))))) -> 2(2(1(0(4(2(0(1(3(0(4(1(2(4(4(3(2(2(1(2(z0))))))))))))))))))))
   2(c_0(c_4(c_3(c_4(c_4(c_2(c_1(c_0(c_0(c_2(c_4(c_4(c_2(c_1(c_1(c_1(c_1(c_1(c_4(z0)))))))))))))))))))) -> 0(4(0(1(2(2(1(4(2(1(4(3(0(4(3(4(1(1(3(1(z0))))))))))))))))))))
   2(c_3(c_3(c_3(c_4(c_0(c_4(c_1(c_0(c_2(c_2(c_4(c_2(c_4(c_1(c_1(c_3(c_3(c_4(c_1(z0)))))))))))))))))))) -> 4(2(1(4(1(0(3(1(4(4(3(3(0(1(3(1(2(4(3(0(z0))))))))))))))))))))
   2(c_0(c_1(c_4(c_4(c_3(c_3(c_4(c_2(c_3(c_1(c_3(c_1(c_1(c_3(c_0(c_4(c_1(c_3(c_2(z0)))))))))))))))))))) -> 2(1(4(3(1(0(3(1(4(4(4(2(2(0(0(4(2(0(2(2(z0))))))))))))))))))))
   2(c_2(c_4(c_1(c_0(c_3(c_0(c_4(c_2(c_4(c_3(c_3(c_4(c_3(c_3(c_1(c_0(c_1(c_0(c_0(z0)))))))))))))))))))) -> 0(4(3(4(1(0(3(4(4(4(3(0(4(0(1(2(1(3(1(4(z0))))))))))))))))))))
   2(c_3(c_4(c_4(c_0(c_0(c_4(c_4(c_4(c_3(c_3(c_0(c_4(c_2(c_2(c_3(c_0(c_0(c_1(c_3(z0)))))))))))))))))))) -> 0(2(0(4(3(3(2(1(4(4(1(2(0(1(2(4(3(3(4(1(z0))))))))))))))))))))
   2(c_3(c_1(c_3(c_2(c_1(c_4(c_1(c_0(c_2(c_4(c_2(c_0(c_0(c_2(c_3(c_4(c_4(c_3(c_2(z0)))))))))))))))))))) -> 4(1(1(4(3(2(3(1(4(1(4(4(1(3(1(2(3(4(4(1(z0))))))))))))))))))))
   2(c_3(c_2(c_4(c_2(c_1(c_0(c_0(c_2(c_4(c_3(c_4(c_1(c_1(c_3(c_2(c_4(c_2(c_1(c_2(z0)))))))))))))))))))) -> 2(3(2(1(1(0(2(0(1(1(3(2(1(4(3(1(1(0(3(1(z0))))))))))))))))))))
   2(c_0(c_2(c_2(c_1(c_3(c_3(c_2(c_4(c_0(c_1(c_0(c_3(c_1(c_4(c_0(c_0(c_0(c_1(c_3(z0)))))))))))))))))))) -> 1(3(4(2(0(1(1(3(1(3(4(4(2(3(1(0(1(3(1(3(z0))))))))))))))))))))
   3(z0) -> c_3(z0)
   3(c_0(c_3(c_3(c_3(c_4(c_2(c_1(c_4(c_2(c_2(c_3(c_2(c_0(c_4(c_4(c_4(c_1(c_1(c_1(z0)))))))))))))))))))) -> 1(4(3(4(2(2(4(3(2(0(1(4(1(1(3(1(2(1(1(3(z0))))))))))))))))))))
   3(c_1(c_0(c_0(c_1(c_0(c_4(c_4(c_1(c_0(c_1(c_2(c_4(c_0(c_2(c_1(c_3(c_0(c_2(c_0(z0)))))))))))))))))))) -> 4(4(3(2(4(2(1(2(0(0(1(4(2(3(0(0(1(0(1(4(z0))))))))))))))))))))
   3(c_0(c_3(c_0(c_4(c_1(c_3(c_1(c_1(c_0(c_4(c_1(c_2(c_3(c_4(c_1(c_1(c_0(c_1(c_4(z0)))))))))))))))))))) -> 2(0(1(2(4(3(2(1(4(2(4(0(3(2(4(2(3(1(4(1(z0))))))))))))))))))))
   3(c_3(c_0(c_3(c_0(c_4(c_2(c_0(c_1(c_3(c_3(c_4(c_1(c_0(c_3(c_2(c_2(c_1(c_1(c_1(z0)))))))))))))))))))) -> 4(0(1(3(1(2(1(0(1(1(2(3(0(4(3(3(1(3(0(1(z0))))))))))))))))))))
   3(c_3(c_1(c_1(c_2(c_2(c_4(c_2(c_1(c_4(c_3(c_3(c_4(c_3(c_1(c_0(c_0(c_2(c_1(c_1(z0)))))))))))))))))))) -> 2(2(2(0(3(1(1(1(4(1(0(3(1(2(1(4(1(3(1(1(z0))))))))))))))))))))
   3(c_2(c_0(c_0(c_1(c_4(c_1(c_0(c_3(c_3(c_0(c_3(c_0(c_1(c_4(c_1(c_3(c_3(c_2(c_1(z0)))))))))))))))))))) -> 1(2(2(2(1(1(4(3(0(3(2(2(4(2(1(4(4(3(1(4(z0))))))))))))))))))))
   3(c_3(c_4(c_1(c_1(c_4(c_4(c_3(c_1(c_0(c_1(c_3(c_0(c_0(c_3(c_1(c_3(c_3(c_2(c_0(z0)))))))))))))))))))) -> 2(1(4(1(1(1(4(2(4(2(4(1(3(4(2(3(3(2(2(4(z0))))))))))))))))))))
   3(c_4(c_1(c_4(c_3(c_2(c_2(c_4(c_1(c_1(c_4(c_4(c_2(c_3(c_0(c_1(c_1(c_3(c_0(c_1(z0)))))))))))))))))))) -> 4(1(4(0(1(4(1(2(2(4(2(2(1(2(2(1(1(1(3(2(z0))))))))))))))))))))
   3(c_4(c_2(c_4(c_2(c_0(c_3(c_4(c_2(c_4(c_3(c_1(c_4(c_3(c_4(c_0(c_4(c_4(c_3(c_1(z0)))))))))))))))))))) -> 3(4(1(3(2(3(3(4(4(1(1(3(1(3(3(1(1(4(1(0(z0))))))))))))))))))))
   3(c_2(c_1(c_0(c_2(c_3(c_1(c_2(c_3(c_2(c_0(c_1(c_0(c_3(c_0(c_0(c_1(c_4(c_2(c_1(z0)))))))))))))))))))) -> 1(3(1(4(1(1(1(4(0(0(2(1(0(4(1(2(2(3(1(1(z0))))))))))))))))))))
   3(c_1(c_0(c_0(c_0(c_4(c_0(c_4(c_3(c_0(c_2(c_4(c_3(c_3(c_3(c_1(c_1(c_3(c_0(c_1(z0)))))))))))))))))))) -> 4(2(4(2(0(1(2(3(4(1(0(3(1(2(2(0(4(4(2(4(z0))))))))))))))))))))
   3(c_4(c_2(c_1(c_4(c_1(c_3(c_4(c_3(c_4(c_2(c_0(c_2(c_2(c_4(c_3(c_0(c_1(c_0(c_1(z0)))))))))))))))))))) -> 4(2(1(4(1(2(2(2(2(2(3(1(0(1(2(4(3(1(2(4(z0))))))))))))))))))))
   3(c_4(c_0(c_0(c_1(c_2(c_0(c_4(c_4(c_4(c_4(c_4(c_1(c_2(c_2(c_4(c_4(c_0(c_3(c_0(z0)))))))))))))))))))) -> 3(2(3(4(1(1(4(3(4(4(1(1(2(2(4(4(0(0(4(0(z0))))))))))))))))))))
   3(c_2(c_4(c_4(c_2(c_0(c_2(c_4(c_4(c_3(c_3(c_1(c_1(c_2(c_4(c_2(c_3(c_4(c_4(c_2(z0)))))))))))))))))))) -> 1(4(1(3(3(2(1(2(3(4(2(4(1(3(0(4(2(1(3(1(z0))))))))))))))))))))
   3(c_4(c_0(c_3(c_1(c_3(c_3(c_3(c_0(c_1(c_3(c_2(c_2(c_3(c_4(c_2(c_2(c_4(c_4(c_2(z0)))))))))))))))))))) -> 0(3(2(1(1(1(3(2(4(0(3(0(3(3(0(2(1(2(1(2(z0))))))))))))))))))))
   3(c_4(c_0(c_0(c_4(c_1(c_4(c_1(c_1(c_0(c_1(c_0(c_1(c_2(c_1(c_3(c_2(c_2(c_3(c_4(z0)))))))))))))))))))) -> 1(3(4(2(1(3(0(1(4(3(1(3(4(0(4(1(2(4(0(2(z0))))))))))))))))))))
   3(c_2(c_2(c_3(c_3(c_0(c_0(c_4(c_4(c_0(c_4(c_4(c_4(c_2(c_3(c_3(c_1(c_1(c_2(c_1(z0)))))))))))))))))))) -> 3(0(3(4(4(4(4(1(4(3(3(0(0(2(3(2(1(2(2(1(z0))))))))))))))))))))
   3(c_2(c_4(c_0(c_0(c_2(c_4(c_0(c_4(c_3(c_4(c_2(c_1(c_1(c_2(c_4(c_3(c_3(c_2(c_1(z0)))))))))))))))))))) -> 0(3(3(4(3(1(4(2(4(3(2(1(4(1(4(0(3(1(4(2(z0))))))))))))))))))))
   3(c_0(c_2(c_2(c_1(c_0(c_0(c_0(c_0(c_0(c_3(c_1(c_0(c_0(c_4(c_3(c_4(c_2(c_2(c_0(z0)))))))))))))))))))) -> 3(2(2(0(0(2(2(4(0(4(3(4(3(0(2(2(3(2(1(0(z0))))))))))))))))))))
   3(c_0(c_3(c_0(c_0(c_1(c_3(c_2(c_4(c_4(c_4(c_0(c_3(c_0(c_1(c_4(c_1(c_2(c_4(c_3(z0)))))))))))))))))))) -> 2(2(3(2(1(0(2(0(0(2(0(4(0(4(0(4(3(2(2(3(z0))))))))))))))))))))
   3(c_4(c_4(c_0(c_0(c_0(c_0(c_3(c_2(c_2(c_2(c_1(c_4(c_4(c_4(c_1(c_2(c_4(c_0(c_3(z0)))))))))))))))))))) -> 1(1(4(0(0(2(0(1(2(2(2(2(0(1(3(1(0(2(0(0(z0))))))))))))))))))))
   3(c_0(c_1(c_4(c_2(c_2(c_1(c_1(c_2(c_4(c_4(c_1(c_1(c_1(c_3(c_1(c_1(c_3(c_3(c_3(z0)))))))))))))))))))) -> 3(3(4(2(1(1(3(1(2(1(2(2(1(3(4(1(4(2(4(2(z0))))))))))))))))))))
   3(c_1(c_4(c_4(c_1(c_4(c_3(c_4(c_0(c_3(c_0(c_2(c_0(c_3(c_2(c_1(c_2(c_3(c_2(c_4(z0)))))))))))))))))))) -> 2(0(3(1(2(3(1(2(1(2(1(3(3(4(2(0(0(2(2(1(z0))))))))))))))))))))
   3(c_3(c_3(c_4(c_2(c_3(c_3(c_0(c_1(c_3(c_4(c_4(c_4(c_0(c_4(c_2(c_2(c_4(c_0(c_2(z0)))))))))))))))))))) -> 3(4(3(4(1(3(4(2(2(2(2(0(4(1(3(3(1(1(4(4(z0))))))))))))))))))))
   4(z0) -> c_4(z0)
   4(c_1(c_3(c_2(c_2(c_4(c_4(c_2(c_0(c_0(c_3(c_2(c_3(c_1(c_1(c_3(c_2(c_3(c_3(c_1(z0)))))))))))))))))))) -> 3(2(1(2(1(3(2(1(3(2(3(2(1(1(2(1(2(3(4(3(z0))))))))))))))))))))
   4(c_0(c_3(c_0(c_3(c_1(c_1(c_2(c_0(c_4(c_3(c_0(c_4(c_3(c_1(c_0(c_0(c_4(c_2(c_4(z0)))))))))))))))))))) -> 2(4(4(4(4(2(2(2(2(4(3(2(2(3(4(1(2(0(1(3(z0))))))))))))))))))))
   4(c_3(c_4(c_3(c_4(c_4(c_3(c_0(c_3(c_3(c_2(c_2(c_3(c_1(c_3(c_2(c_2(c_3(c_4(c_1(z0)))))))))))))))))))) -> 4(1(0(0(4(3(4(1(2(4(3(3(2(1(3(4(1(0(3(1(z0))))))))))))))))))))
   4(c_4(c_0(c_4(c_4(c_1(c_0(c_3(c_3(c_2(c_0(c_3(c_0(c_1(c_3(c_0(c_3(c_1(c_3(c_3(z0)))))))))))))))))))) -> 2(1(0(3(1(3(1(4(3(3(0(0(1(4(4(1(2(2(3(0(z0))))))))))))))))))))
   4(c_2(c_1(c_2(c_1(c_1(c_2(c_3(c_4(c_2(c_3(c_2(c_1(c_4(c_2(c_2(c_4(c_0(c_3(c_0(z0)))))))))))))))))))) -> 3(1(0(2(1(3(1(2(1(0(2(1(1(3(1(0(4(0(3(4(z0))))))))))))))))))))
   4(c_0(c_2(c_4(c_2(c_1(c_4(c_2(c_4(c_2(c_4(c_1(c_2(c_0(c_1(c_0(c_3(c_0(c_3(c_0(z0)))))))))))))))))))) -> 0(3(1(0(4(1(4(2(3(1(4(4(1(2(0(1(0(0(0(4(z0))))))))))))))))))))
   4(c_3(c_2(c_0(c_1(c_0(c_2(c_2(c_3(c_1(c_4(c_0(c_0(c_3(c_4(c_0(c_0(c_1(c_1(c_2(z0)))))))))))))))))))) -> 3(2(0(3(0(0(4(1(1(4(2(4(1(4(3(1(3(1(4(3(z0))))))))))))))))))))
   4(c_1(c_3(c_4(c_1(c_3(c_0(c_2(c_4(c_3(c_4(c_3(c_3(c_1(c_0(c_2(c_0(c_1(c_2(c_4(z0)))))))))))))))))))) -> 2(0(4(4(1(0(2(2(1(1(4(0(4(0(1(4(0(4(4(3(z0))))))))))))))))))))
   4(c_3(c_1(c_3(c_2(c_2(c_4(c_0(c_1(c_0(c_4(c_0(c_0(c_2(c_1(c_0(c_1(c_4(c_3(c_0(z0)))))))))))))))))))) -> 1(3(1(1(1(1(3(4(4(1(4(4(1(4(0(4(2(4(1(3(z0))))))))))))))))))))
   4(c_1(c_3(c_4(c_2(c_3(c_0(c_4(c_4(c_3(c_3(c_1(c_1(c_3(c_4(c_1(c_1(c_3(c_3(c_0(z0)))))))))))))))))))) -> 2(4(4(4(4(2(2(4(1(0(2(2(4(0(3(2(2(2(2(2(z0))))))))))))))))))))
   4(c_3(c_4(c_4(c_2(c_2(c_3(c_2(c_0(c_4(c_2(c_4(c_2(c_2(c_1(c_4(c_2(c_3(c_3(c_0(z0)))))))))))))))))))) -> 1(2(1(2(1(1(0(4(0(1(1(4(2(1(0(4(1(0(4(3(z0))))))))))))))))))))
   4(c_4(c_3(c_2(c_1(c_2(c_0(c_3(c_0(c_4(c_0(c_2(c_1(c_4(c_4(c_0(c_2(c_1(c_3(c_0(z0)))))))))))))))))))) -> 4(2(4(1(4(2(2(0(1(0(3(1(3(0(1(3(3(2(1(0(z0))))))))))))))))))))
   4(c_1(c_2(c_1(c_0(c_4(c_3(c_1(c_3(c_0(c_2(c_3(c_3(c_4(c_3(c_1(c_0(c_0(c_0(c_4(z0)))))))))))))))))))) -> 3(2(0(2(2(1(2(1(1(2(3(0(1(3(3(3(2(4(1(0(z0))))))))))))))))))))
   4(c_0(c_0(c_3(c_3(c_1(c_0(c_2(c_2(c_0(c_4(c_0(c_4(c_3(c_0(c_0(c_2(c_2(c_1(c_3(z0)))))))))))))))))))) -> 0(0(3(2(1(2(3(2(4(3(1(2(0(2(2(1(1(0(3(1(z0))))))))))))))))))))
   4(c_3(c_4(c_3(c_4(c_4(c_2(c_0(c_4(c_4(c_2(c_0(c_2(c_0(c_4(c_4(c_2(c_2(c_3(c_3(z0)))))))))))))))))))) -> 3(4(0(1(3(0(0(4(3(1(2(2(3(1(3(4(2(2(0(3(z0))))))))))))))))))))
   4(c_3(c_2(c_3(c_2(c_2(c_1(c_2(c_0(c_3(c_0(c_0(c_0(c_1(c_1(c_3(c_2(c_4(c_3(c_4(z0)))))))))))))))))))) -> 1(3(1(4(0(2(1(0(0(1(3(4(0(3(3(4(2(1(2(1(z0))))))))))))))))))))
   4(c_0(c_2(c_1(c_3(c_3(c_4(c_4(c_0(c_0(c_0(c_3(c_2(c_3(c_4(c_4(c_4(c_3(c_2(c_3(z0)))))))))))))))))))) -> 4(0(2(1(4(0(2(0(0(4(0(4(1(0(2(3(4(4(1(2(z0))))))))))))))))))))
   4(c_1(c_1(c_0(c_3(c_0(c_1(c_3(c_0(c_4(c_4(c_2(c_1(c_2(c_4(c_2(c_0(c_0(c_3(c_0(z0)))))))))))))))))))) -> 2(3(2(0(1(4(4(4(3(2(3(3(1(4(3(4(2(0(1(3(z0))))))))))))))))))))
   4(c_3(c_3(c_2(c_2(c_1(c_3(c_4(c_4(c_2(c_4(c_2(c_3(c_0(c_0(c_2(c_2(c_3(c_2(c_4(z0)))))))))))))))))))) -> 3(2(2(1(1(0(2(2(4(0(0(0(2(1(3(1(0(4(3(4(z0))))))))))))))))))))
   4(c_1(c_0(c_2(c_0(c_3(c_2(c_1(c_1(c_3(c_1(c_1(c_0(c_1(c_1(c_2(c_0(c_0(c_4(c_4(z0)))))))))))))))))))) -> 2(1(4(2(2(2(2(2(2(2(0(1(0(3(1(0(1(1(4(0(z0))))))))))))))))))))
   4(c_1(c_1(c_1(c_2(c_2(c_3(c_3(c_3(c_4(c_4(c_0(c_2(c_0(c_2(c_1(c_0(c_1(c_0(c_0(z0)))))))))))))))))))) -> 1(1(0(3(4(0(2(3(1(4(2(4(1(0(4(0(3(1(1(4(z0))))))))))))))))))))
   4(c_4(c_1(c_1(c_2(c_0(c_1(c_0(c_2(c_2(c_1(c_0(c_0(c_1(c_0(c_0(c_1(c_1(c_3(c_2(z0)))))))))))))))))))) -> 3(1(4(1(4(4(3(1(2(3(3(2(1(3(3(1(1(3(2(4(z0))))))))))))))))))))
   4(c_4(c_3(c_4(c_4(c_2(c_4(c_1(c_1(c_0(c_2(c_3(c_1(c_0(c_3(c_1(c_2(c_2(c_4(c_0(z0)))))))))))))))))))) -> 1(2(1(1(1(2(4(1(4(3(1(4(1(4(3(2(0(4(2(2(z0))))))))))))))))))))
   4(c_0(c_4(c_3(c_0(c_0(c_2(c_1(c_2(c_2(c_0(c_3(c_0(c_3(c_1(c_1(c_1(c_3(c_3(c_3(z0)))))))))))))))))))) -> 4(1(2(1(1(2(2(1(1(2(0(1(0(2(4(4(1(1(1(0(z0))))))))))))))))))))
Tuples:
   ENCARG(cons_0(z0)) -> c(0'(encArg(z0)), ENCARG(z0))
   ENCARG(cons_1(z0)) -> c1(1'(encArg(z0)), ENCARG(z0))
   ENCARG(cons_2(z0)) -> c2(2'(encArg(z0)), ENCARG(z0))
   ENCARG(cons_3(z0)) -> c3(3'(encArg(z0)), ENCARG(z0))
   ENCARG(cons_4(z0)) -> c4(4'(encArg(z0)), ENCARG(z0))
   0'(c_4(c_4(c_4(c_0(c_2(c_2(c_1(c_3(c_2(c_1(c_0(c_4(c_1(c_3(c_0(c_1(c_3(c_4(c_4(z0)))))))))))))))))))) -> c11(3'(2(3(0(1(2(2(3(1(4(0(4(1(1(1(4(2(2(1(1(z0)))))))))))))))))))), 2'(3(0(1(2(2(3(1(4(0(4(1(1(1(4(2(2(1(1(z0))))))))))))))))))), 3'(0(1(2(2(3(1(4(0(4(1(1(1(4(2(2(1(1(z0)))))))))))))))))), 0'(1(2(2(3(1(4(0(4(1(1(1(4(2(2(1(1(z0))))))))))))))))), 1'(2(2(3(1(4(0(4(1(1(1(4(2(2(1(1(z0)))))))))))))))), 2'(2(3(1(4(0(4(1(1(1(4(2(2(1(1(z0))))))))))))))), 2'(3(1(4(0(4(1(1(1(4(2(2(1(1(z0)))))))))))))), 3'(1(4(0(4(1(1(1(4(2(2(1(1(z0))))))))))))), 1'(4(0(4(1(1(1(4(2(2(1(1(z0)))))))))))), 4'(0(4(1(1(1(4(2(2(1(1(z0))))))))))), 0'(4(1(1(1(4(2(2(1(1(z0)))))))))), 4'(1(1(1(4(2(2(1(1(z0))))))))), 1'(1(1(4(2(2(1(1(z0)))))))), 1'(1(4(2(2(1(1(z0))))))), 1'(4(2(2(1(1(z0)))))), 4'(2(2(1(1(z0))))), 2'(2(1(1(z0)))), 2'(1(1(z0))), 1'(1(z0)), 1'(z0))
   0'(c_1(c_4(c_2(c_3(c_1(c_1(c_2(c_3(c_2(c_3(c_1(c_0(c_1(c_0(c_2(c_0(c_2(c_3(c_2(z0)))))))))))))))))))) -> c12(3'(1(3(2(0(4(1(3(2(1(0(4(0(4(4(3(2(1(4(3(z0)))))))))))))))))))), 1'(3(2(0(4(1(3(2(1(0(4(0(4(4(3(2(1(4(3(z0))))))))))))))))))), 3'(2(0(4(1(3(2(1(0(4(0(4(4(3(2(1(4(3(z0)))))))))))))))))), 2'(0(4(1(3(2(1(0(4(0(4(4(3(2(1(4(3(z0))))))))))))))))), 0'(4(1(3(2(1(0(4(0(4(4(3(2(1(4(3(z0)))))))))))))))), 4'(1(3(2(1(0(4(0(4(4(3(2(1(4(3(z0))))))))))))))), 1'(3(2(1(0(4(0(4(4(3(2(1(4(3(z0)))))))))))))), 3'(2(1(0(4(0(4(4(3(2(1(4(3(z0))))))))))))), 2'(1(0(4(0(4(4(3(2(1(4(3(z0)))))))))))), 1'(0(4(0(4(4(3(2(1(4(3(z0))))))))))), 0'(4(0(4(4(3(2(1(4(3(z0)))))))))), 4'(0(4(4(3(2(1(4(3(z0))))))))), 0'(4(4(3(2(1(4(3(z0)))))))), 4'(4(3(2(1(4(3(z0))))))), 4'(3(2(1(4(3(z0)))))), 3'(2(1(4(3(z0))))), 2'(1(4(3(z0)))), 1'(4(3(z0))), 4'(3(z0)), 3'(z0))
   0'(c_3(c_0(c_0(c_1(c_1(c_4(c_3(c_4(c_3(c_0(c_4(c_2(c_1(c_4(c_3(c_4(c_2(c_1(c_2(z0)))))))))))))))))))) -> c13(1'(4(0(1(2(2(2(3(4(4(2(4(2(2(1(3(1(4(2(4(z0)))))))))))))))))))), 4'(0(1(2(2(2(3(4(4(2(4(2(2(1(3(1(4(2(4(z0))))))))))))))))))), 0'(1(2(2(2(3(4(4(2(4(2(2(1(3(1(4(2(4(z0)))))))))))))))))), 1'(2(2(2(3(4(4(2(4(2(2(1(3(1(4(2(4(z0))))))))))))))))), 2'(2(2(3(4(4(2(4(2(2(1(3(1(4(2(4(z0)))))))))))))))), 2'(2(3(4(4(2(4(2(2(1(3(1(4(2(4(z0))))))))))))))), 2'(3(4(4(2(4(2(2(1(3(1(4(2(4(z0)))))))))))))), 3'(4(4(2(4(2(2(1(3(1(4(2(4(z0))))))))))))), 4'(4(2(4(2(2(1(3(1(4(2(4(z0)))))))))))), 4'(2(4(2(2(1(3(1(4(2(4(z0))))))))))), 2'(4(2(2(1(3(1(4(2(4(z0)))))))))), 4'(2(2(1(3(1(4(2(4(z0))))))))), 2'(2(1(3(1(4(2(4(z0)))))))), 2'(1(3(1(4(2(4(z0))))))), 1'(3(1(4(2(4(z0)))))), 3'(1(4(2(4(z0))))), 1'(4(2(4(z0)))), 4'(2(4(z0))), 2'(4(z0)), 4'(z0))
   0'(c_0(c_0(c_0(c_1(c_0(c_2(c_2(c_3(c_2(c_1(c_1(c_0(c_3(c_2(c_1(c_1(c_1(c_2(c_4(z0)))))))))))))))))))) -> c14(0'(3(2(3(3(2(1(4(2(2(2(1(0(0(2(0(1(2(2(4(z0)))))))))))))))))))), 3'(2(3(3(2(1(4(2(2(2(1(0(0(2(0(1(2(2(4(z0))))))))))))))))))), 2'(3(3(2(1(4(2(2(2(1(0(0(2(0(1(2(2(4(z0)))))))))))))))))), 3'(3(2(1(4(2(2(2(1(0(0(2(0(1(2(2(4(z0))))))))))))))))), 3'(2(1(4(2(2(2(1(0(0(2(0(1(2(2(4(z0)))))))))))))))), 2'(1(4(2(2(2(1(0(0(2(0(1(2(2(4(z0))))))))))))))), 1'(4(2(2(2(1(0(0(2(0(1(2(2(4(z0)))))))))))))), 4'(2(2(2(1(0(0(2(0(1(2(2(4(z0))))))))))))), 2'(2(2(1(0(0(2(0(1(2(2(4(z0)))))))))))), 2'(2(1(0(0(2(0(1(2(2(4(z0))))))))))), 2'(1(0(0(2(0(1(2(2(4(z0)))))))))), 1'(0(0(2(0(1(2(2(4(z0))))))))), 0'(0(2(0(1(2(2(4(z0)))))))), 0'(2(0(1(2(2(4(z0))))))), 2'(0(1(2(2(4(z0)))))), 0'(1(2(2(4(z0))))), 1'(2(2(4(z0)))), 2'(2(4(z0))), 2'(4(z0)), 4'(z0))
   0'(c_2(c_1(c_4(c_2(c_4(c_3(c_4(c_0(c_0(c_3(c_0(c_2(c_4(c_1(c_4(c_4(c_0(c_1(c_1(z0)))))))))))))))))))) -> c15(4'(4(3(3(1(4(0(3(2(3(3(1(4(0(1(2(1(4(1(0(z0)))))))))))))))))))), 4'(3(3(1(4(0(3(2(3(3(1(4(0(1(2(1(4(1(0(z0))))))))))))))))))), 3'(3(1(4(0(3(2(3(3(1(4(0(1(2(1(4(1(0(z0)))))))))))))))))), 3'(1(4(0(3(2(3(3(1(4(0(1(2(1(4(1(0(z0))))))))))))))))), 1'(4(0(3(2(3(3(1(4(0(1(2(1(4(1(0(z0)))))))))))))))), 4'(0(3(2(3(3(1(4(0(1(2(1(4(1(0(z0))))))))))))))), 0'(3(2(3(3(1(4(0(1(2(1(4(1(0(z0)))))))))))))), 3'(2(3(3(1(4(0(1(2(1(4(1(0(z0))))))))))))), 2'(3(3(1(4(0(1(2(1(4(1(0(z0)))))))))))), 3'(3(1(4(0(1(2(1(4(1(0(z0))))))))))), 3'(1(4(0(1(2(1(4(1(0(z0)))))))))), 1'(4(0(1(2(1(4(1(0(z0))))))))), 4'(0(1(2(1(4(1(0(z0)))))))), 0'(1(2(1(4(1(0(z0))))))), 1'(2(1(4(1(0(z0)))))), 2'(1(4(1(0(z0))))), 1'(4(1(0(z0)))), 4'(1(0(z0))), 1'(0(z0)), 0'(z0))
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   4'(c_0(c_2(c_1(c_3(c_3(c_4(c_4(c_0(c_0(c_0(c_3(c_2(c_3(c_4(c_4(c_4(c_3(c_2(c_3(z0)))))))))))))))))))) -> c106(4'(0(2(1(4(0(2(0(0(4(0(4(1(0(2(3(4(4(1(2(z0)))))))))))))))))))), 0'(2(1(4(0(2(0(0(4(0(4(1(0(2(3(4(4(1(2(z0))))))))))))))))))), 2'(1(4(0(2(0(0(4(0(4(1(0(2(3(4(4(1(2(z0)))))))))))))))))), 1'(4(0(2(0(0(4(0(4(1(0(2(3(4(4(1(2(z0))))))))))))))))), 4'(0(2(0(0(4(0(4(1(0(2(3(4(4(1(2(z0)))))))))))))))), 0'(2(0(0(4(0(4(1(0(2(3(4(4(1(2(z0))))))))))))))), 2'(0(0(4(0(4(1(0(2(3(4(4(1(2(z0)))))))))))))), 0'(0(4(0(4(1(0(2(3(4(4(1(2(z0))))))))))))), 0'(4(0(4(1(0(2(3(4(4(1(2(z0)))))))))))), 4'(0(4(1(0(2(3(4(4(1(2(z0))))))))))), 0'(4(1(0(2(3(4(4(1(2(z0)))))))))), 4'(1(0(2(3(4(4(1(2(z0))))))))), 1'(0(2(3(4(4(1(2(z0)))))))), 0'(2(3(4(4(1(2(z0))))))), 2'(3(4(4(1(2(z0)))))), 3'(4(4(1(2(z0))))), 4'(4(1(2(z0)))), 4'(1(2(z0))), 1'(2(z0)), 2'(z0))
   4'(c_1(c_1(c_0(c_3(c_0(c_1(c_3(c_0(c_4(c_4(c_2(c_1(c_2(c_4(c_2(c_0(c_0(c_3(c_0(z0)))))))))))))))))))) -> c107(2'(3(2(0(1(4(4(4(3(2(3(3(1(4(3(4(2(0(1(3(z0)))))))))))))))))))), 3'(2(0(1(4(4(4(3(2(3(3(1(4(3(4(2(0(1(3(z0))))))))))))))))))), 2'(0(1(4(4(4(3(2(3(3(1(4(3(4(2(0(1(3(z0)))))))))))))))))), 0'(1(4(4(4(3(2(3(3(1(4(3(4(2(0(1(3(z0))))))))))))))))), 1'(4(4(4(3(2(3(3(1(4(3(4(2(0(1(3(z0)))))))))))))))), 4'(4(4(3(2(3(3(1(4(3(4(2(0(1(3(z0))))))))))))))), 4'(4(3(2(3(3(1(4(3(4(2(0(1(3(z0)))))))))))))), 4'(3(2(3(3(1(4(3(4(2(0(1(3(z0))))))))))))), 3'(2(3(3(1(4(3(4(2(0(1(3(z0)))))))))))), 2'(3(3(1(4(3(4(2(0(1(3(z0))))))))))), 3'(3(1(4(3(4(2(0(1(3(z0)))))))))), 3'(1(4(3(4(2(0(1(3(z0))))))))), 1'(4(3(4(2(0(1(3(z0)))))))), 4'(3(4(2(0(1(3(z0))))))), 3'(4(2(0(1(3(z0)))))), 4'(2(0(1(3(z0))))), 2'(0(1(3(z0)))), 0'(1(3(z0))), 1'(3(z0)), 3'(z0))
   4'(c_3(c_3(c_2(c_2(c_1(c_3(c_4(c_4(c_2(c_4(c_2(c_3(c_0(c_0(c_2(c_2(c_3(c_2(c_4(z0)))))))))))))))))))) -> c108(3'(2(2(1(1(0(2(2(4(0(0(0(2(1(3(1(0(4(3(4(z0)))))))))))))))))))), 2'(2(1(1(0(2(2(4(0(0(0(2(1(3(1(0(4(3(4(z0))))))))))))))))))), 2'(1(1(0(2(2(4(0(0(0(2(1(3(1(0(4(3(4(z0)))))))))))))))))), 1'(1(0(2(2(4(0(0(0(2(1(3(1(0(4(3(4(z0))))))))))))))))), 1'(0(2(2(4(0(0(0(2(1(3(1(0(4(3(4(z0)))))))))))))))), 0'(2(2(4(0(0(0(2(1(3(1(0(4(3(4(z0))))))))))))))), 2'(2(4(0(0(0(2(1(3(1(0(4(3(4(z0)))))))))))))), 2'(4(0(0(0(2(1(3(1(0(4(3(4(z0))))))))))))), 4'(0(0(0(2(1(3(1(0(4(3(4(z0)))))))))))), 0'(0(0(2(1(3(1(0(4(3(4(z0))))))))))), 0'(0(2(1(3(1(0(4(3(4(z0)))))))))), 0'(2(1(3(1(0(4(3(4(z0))))))))), 2'(1(3(1(0(4(3(4(z0)))))))), 1'(3(1(0(4(3(4(z0))))))), 3'(1(0(4(3(4(z0)))))), 1'(0(4(3(4(z0))))), 0'(4(3(4(z0)))), 4'(3(4(z0))), 3'(4(z0)), 4'(z0))
   4'(c_1(c_0(c_2(c_0(c_3(c_2(c_1(c_1(c_3(c_1(c_1(c_0(c_1(c_1(c_2(c_0(c_0(c_4(c_4(z0)))))))))))))))))))) -> c109(2'(1(4(2(2(2(2(2(2(2(0(1(0(3(1(0(1(1(4(0(z0)))))))))))))))))))), 1'(4(2(2(2(2(2(2(2(0(1(0(3(1(0(1(1(4(0(z0))))))))))))))))))), 4'(2(2(2(2(2(2(2(0(1(0(3(1(0(1(1(4(0(z0)))))))))))))))))), 2'(2(2(2(2(2(2(0(1(0(3(1(0(1(1(4(0(z0))))))))))))))))), 2'(2(2(2(2(2(0(1(0(3(1(0(1(1(4(0(z0)))))))))))))))), 2'(2(2(2(2(0(1(0(3(1(0(1(1(4(0(z0))))))))))))))), 2'(2(2(2(0(1(0(3(1(0(1(1(4(0(z0)))))))))))))), 2'(2(2(0(1(0(3(1(0(1(1(4(0(z0))))))))))))), 2'(2(0(1(0(3(1(0(1(1(4(0(z0)))))))))))), 2'(0(1(0(3(1(0(1(1(4(0(z0))))))))))), 0'(1(0(3(1(0(1(1(4(0(z0)))))))))), 1'(0(3(1(0(1(1(4(0(z0))))))))), 0'(3(1(0(1(1(4(0(z0)))))))), 3'(1(0(1(1(4(0(z0))))))), 1'(0(1(1(4(0(z0)))))), 0'(1(1(4(0(z0))))), 1'(1(4(0(z0)))), 1'(4(0(z0))), 4'(0(z0)), 0'(z0))
   4'(c_1(c_1(c_1(c_2(c_2(c_3(c_3(c_3(c_4(c_4(c_0(c_2(c_0(c_2(c_1(c_0(c_1(c_0(c_0(z0)))))))))))))))))))) -> c110(1'(1(0(3(4(0(2(3(1(4(2(4(1(0(4(0(3(1(1(4(z0)))))))))))))))))))), 1'(0(3(4(0(2(3(1(4(2(4(1(0(4(0(3(1(1(4(z0))))))))))))))))))), 0'(3(4(0(2(3(1(4(2(4(1(0(4(0(3(1(1(4(z0)))))))))))))))))), 3'(4(0(2(3(1(4(2(4(1(0(4(0(3(1(1(4(z0))))))))))))))))), 4'(0(2(3(1(4(2(4(1(0(4(0(3(1(1(4(z0)))))))))))))))), 0'(2(3(1(4(2(4(1(0(4(0(3(1(1(4(z0))))))))))))))), 2'(3(1(4(2(4(1(0(4(0(3(1(1(4(z0)))))))))))))), 3'(1(4(2(4(1(0(4(0(3(1(1(4(z0))))))))))))), 1'(4(2(4(1(0(4(0(3(1(1(4(z0)))))))))))), 4'(2(4(1(0(4(0(3(1(1(4(z0))))))))))), 2'(4(1(0(4(0(3(1(1(4(z0)))))))))), 4'(1(0(4(0(3(1(1(4(z0))))))))), 1'(0(4(0(3(1(1(4(z0)))))))), 0'(4(0(3(1(1(4(z0))))))), 4'(0(3(1(1(4(z0)))))), 0'(3(1(1(4(z0))))), 3'(1(1(4(z0)))), 1'(1(4(z0))), 1'(4(z0)), 4'(z0))
   4'(c_4(c_1(c_1(c_2(c_0(c_1(c_0(c_2(c_2(c_1(c_0(c_0(c_1(c_0(c_0(c_1(c_1(c_3(c_2(z0)))))))))))))))))))) -> c111(3'(1(4(1(4(4(3(1(2(3(3(2(1(3(3(1(1(3(2(4(z0)))))))))))))))))))), 1'(4(1(4(4(3(1(2(3(3(2(1(3(3(1(1(3(2(4(z0))))))))))))))))))), 4'(1(4(4(3(1(2(3(3(2(1(3(3(1(1(3(2(4(z0)))))))))))))))))), 1'(4(4(3(1(2(3(3(2(1(3(3(1(1(3(2(4(z0))))))))))))))))), 4'(4(3(1(2(3(3(2(1(3(3(1(1(3(2(4(z0)))))))))))))))), 4'(3(1(2(3(3(2(1(3(3(1(1(3(2(4(z0))))))))))))))), 3'(1(2(3(3(2(1(3(3(1(1(3(2(4(z0)))))))))))))), 1'(2(3(3(2(1(3(3(1(1(3(2(4(z0))))))))))))), 2'(3(3(2(1(3(3(1(1(3(2(4(z0)))))))))))), 3'(3(2(1(3(3(1(1(3(2(4(z0))))))))))), 3'(2(1(3(3(1(1(3(2(4(z0)))))))))), 2'(1(3(3(1(1(3(2(4(z0))))))))), 1'(3(3(1(1(3(2(4(z0)))))))), 3'(3(1(1(3(2(4(z0))))))), 3'(1(1(3(2(4(z0)))))), 1'(1(3(2(4(z0))))), 1'(3(2(4(z0)))), 3'(2(4(z0))), 2'(4(z0)), 4'(z0))
   4'(c_4(c_3(c_4(c_4(c_2(c_4(c_1(c_1(c_0(c_2(c_3(c_1(c_0(c_3(c_1(c_2(c_2(c_4(c_0(z0)))))))))))))))))))) -> c112(1'(2(1(1(1(2(4(1(4(3(1(4(1(4(3(2(0(4(2(2(z0)))))))))))))))))))), 2'(1(1(1(2(4(1(4(3(1(4(1(4(3(2(0(4(2(2(z0))))))))))))))))))), 1'(1(1(2(4(1(4(3(1(4(1(4(3(2(0(4(2(2(z0)))))))))))))))))), 1'(1(2(4(1(4(3(1(4(1(4(3(2(0(4(2(2(z0))))))))))))))))), 1'(2(4(1(4(3(1(4(1(4(3(2(0(4(2(2(z0)))))))))))))))), 2'(4(1(4(3(1(4(1(4(3(2(0(4(2(2(z0))))))))))))))), 4'(1(4(3(1(4(1(4(3(2(0(4(2(2(z0)))))))))))))), 1'(4(3(1(4(1(4(3(2(0(4(2(2(z0))))))))))))), 4'(3(1(4(1(4(3(2(0(4(2(2(z0)))))))))))), 3'(1(4(1(4(3(2(0(4(2(2(z0))))))))))), 1'(4(1(4(3(2(0(4(2(2(z0)))))))))), 4'(1(4(3(2(0(4(2(2(z0))))))))), 1'(4(3(2(0(4(2(2(z0)))))))), 4'(3(2(0(4(2(2(z0))))))), 3'(2(0(4(2(2(z0)))))), 2'(0(4(2(2(z0))))), 0'(4(2(2(z0)))), 4'(2(2(z0))), 2'(2(z0)), 2'(z0))
   4'(c_0(c_4(c_3(c_0(c_0(c_2(c_1(c_2(c_2(c_0(c_3(c_0(c_3(c_1(c_1(c_1(c_3(c_3(c_3(z0)))))))))))))))))))) -> c113(4'(1(2(1(1(2(2(1(1(2(0(1(0(2(4(4(1(1(1(0(z0)))))))))))))))))))), 1'(2(1(1(2(2(1(1(2(0(1(0(2(4(4(1(1(1(0(z0))))))))))))))))))), 2'(1(1(2(2(1(1(2(0(1(0(2(4(4(1(1(1(0(z0)))))))))))))))))), 1'(1(2(2(1(1(2(0(1(0(2(4(4(1(1(1(0(z0))))))))))))))))), 1'(2(2(1(1(2(0(1(0(2(4(4(1(1(1(0(z0)))))))))))))))), 2'(2(1(1(2(0(1(0(2(4(4(1(1(1(0(z0))))))))))))))), 2'(1(1(2(0(1(0(2(4(4(1(1(1(0(z0)))))))))))))), 1'(1(2(0(1(0(2(4(4(1(1(1(0(z0))))))))))))), 1'(2(0(1(0(2(4(4(1(1(1(0(z0)))))))))))), 2'(0(1(0(2(4(4(1(1(1(0(z0))))))))))), 0'(1(0(2(4(4(1(1(1(0(z0)))))))))), 1'(0(2(4(4(1(1(1(0(z0))))))))), 0'(2(4(4(1(1(1(0(z0)))))))), 2'(4(4(1(1(1(0(z0))))))), 4'(4(1(1(1(0(z0)))))), 4'(1(1(1(0(z0))))), 1'(1(1(0(z0)))), 1'(1(0(z0))), 1'(0(z0)), 0'(z0))
   ENCODE_0(z0) -> c10(0'(encArg(z0)))
   ENCODE_0(z0) -> c10(ENCARG(z0))
   ENCODE_1(z0) -> c10(1'(encArg(z0)))
   ENCODE_1(z0) -> c10(ENCARG(z0))
   ENCODE_2(z0) -> c10(2'(encArg(z0)))
   ENCODE_2(z0) -> c10(ENCARG(z0))
   ENCODE_3(z0) -> c10(3'(encArg(z0)))
   ENCODE_3(z0) -> c10(ENCARG(z0))
   ENCODE_4(z0) -> c10(4'(encArg(z0)))
   ENCODE_4(z0) -> c10(ENCARG(z0))
S tuples:
   0'(c_4(c_4(c_4(c_0(c_2(c_2(c_1(c_3(c_2(c_1(c_0(c_4(c_1(c_3(c_0(c_1(c_3(c_4(c_4(z0)))))))))))))))))))) -> c11(3'(2(3(0(1(2(2(3(1(4(0(4(1(1(1(4(2(2(1(1(z0)))))))))))))))))))), 2'(3(0(1(2(2(3(1(4(0(4(1(1(1(4(2(2(1(1(z0))))))))))))))))))), 3'(0(1(2(2(3(1(4(0(4(1(1(1(4(2(2(1(1(z0)))))))))))))))))), 0'(1(2(2(3(1(4(0(4(1(1(1(4(2(2(1(1(z0))))))))))))))))), 1'(2(2(3(1(4(0(4(1(1(1(4(2(2(1(1(z0)))))))))))))))), 2'(2(3(1(4(0(4(1(1(1(4(2(2(1(1(z0))))))))))))))), 2'(3(1(4(0(4(1(1(1(4(2(2(1(1(z0)))))))))))))), 3'(1(4(0(4(1(1(1(4(2(2(1(1(z0))))))))))))), 1'(4(0(4(1(1(1(4(2(2(1(1(z0)))))))))))), 4'(0(4(1(1(1(4(2(2(1(1(z0))))))))))), 0'(4(1(1(1(4(2(2(1(1(z0)))))))))), 4'(1(1(1(4(2(2(1(1(z0))))))))), 1'(1(1(4(2(2(1(1(z0)))))))), 1'(1(4(2(2(1(1(z0))))))), 1'(4(2(2(1(1(z0)))))), 4'(2(2(1(1(z0))))), 2'(2(1(1(z0)))), 2'(1(1(z0))), 1'(1(z0)), 1'(z0))
   0'(c_1(c_4(c_2(c_3(c_1(c_1(c_2(c_3(c_2(c_3(c_1(c_0(c_1(c_0(c_2(c_0(c_2(c_3(c_2(z0)))))))))))))))))))) -> c12(3'(1(3(2(0(4(1(3(2(1(0(4(0(4(4(3(2(1(4(3(z0)))))))))))))))))))), 1'(3(2(0(4(1(3(2(1(0(4(0(4(4(3(2(1(4(3(z0))))))))))))))))))), 3'(2(0(4(1(3(2(1(0(4(0(4(4(3(2(1(4(3(z0)))))))))))))))))), 2'(0(4(1(3(2(1(0(4(0(4(4(3(2(1(4(3(z0))))))))))))))))), 0'(4(1(3(2(1(0(4(0(4(4(3(2(1(4(3(z0)))))))))))))))), 4'(1(3(2(1(0(4(0(4(4(3(2(1(4(3(z0))))))))))))))), 1'(3(2(1(0(4(0(4(4(3(2(1(4(3(z0)))))))))))))), 3'(2(1(0(4(0(4(4(3(2(1(4(3(z0))))))))))))), 2'(1(0(4(0(4(4(3(2(1(4(3(z0)))))))))))), 1'(0(4(0(4(4(3(2(1(4(3(z0))))))))))), 0'(4(0(4(4(3(2(1(4(3(z0)))))))))), 4'(0(4(4(3(2(1(4(3(z0))))))))), 0'(4(4(3(2(1(4(3(z0)))))))), 4'(4(3(2(1(4(3(z0))))))), 4'(3(2(1(4(3(z0)))))), 3'(2(1(4(3(z0))))), 2'(1(4(3(z0)))), 1'(4(3(z0))), 4'(3(z0)), 3'(z0))
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   4'(c_3(c_2(c_3(c_2(c_2(c_1(c_2(c_0(c_3(c_0(c_0(c_0(c_1(c_1(c_3(c_2(c_4(c_3(c_4(z0)))))))))))))))))))) -> c105(1'(3(1(4(0(2(1(0(0(1(3(4(0(3(3(4(2(1(2(1(z0)))))))))))))))))))), 3'(1(4(0(2(1(0(0(1(3(4(0(3(3(4(2(1(2(1(z0))))))))))))))))))), 1'(4(0(2(1(0(0(1(3(4(0(3(3(4(2(1(2(1(z0)))))))))))))))))), 4'(0(2(1(0(0(1(3(4(0(3(3(4(2(1(2(1(z0))))))))))))))))), 0'(2(1(0(0(1(3(4(0(3(3(4(2(1(2(1(z0)))))))))))))))), 2'(1(0(0(1(3(4(0(3(3(4(2(1(2(1(z0))))))))))))))), 1'(0(0(1(3(4(0(3(3(4(2(1(2(1(z0)))))))))))))), 0'(0(1(3(4(0(3(3(4(2(1(2(1(z0))))))))))))), 0'(1(3(4(0(3(3(4(2(1(2(1(z0)))))))))))), 1'(3(4(0(3(3(4(2(1(2(1(z0))))))))))), 3'(4(0(3(3(4(2(1(2(1(z0)))))))))), 4'(0(3(3(4(2(1(2(1(z0))))))))), 0'(3(3(4(2(1(2(1(z0)))))))), 3'(3(4(2(1(2(1(z0))))))), 3'(4(2(1(2(1(z0)))))), 4'(2(1(2(1(z0))))), 2'(1(2(1(z0)))), 1'(2(1(z0))), 2'(1(z0)), 1'(z0))
   4'(c_0(c_2(c_1(c_3(c_3(c_4(c_4(c_0(c_0(c_0(c_3(c_2(c_3(c_4(c_4(c_4(c_3(c_2(c_3(z0)))))))))))))))))))) -> c106(4'(0(2(1(4(0(2(0(0(4(0(4(1(0(2(3(4(4(1(2(z0)))))))))))))))))))), 0'(2(1(4(0(2(0(0(4(0(4(1(0(2(3(4(4(1(2(z0))))))))))))))))))), 2'(1(4(0(2(0(0(4(0(4(1(0(2(3(4(4(1(2(z0)))))))))))))))))), 1'(4(0(2(0(0(4(0(4(1(0(2(3(4(4(1(2(z0))))))))))))))))), 4'(0(2(0(0(4(0(4(1(0(2(3(4(4(1(2(z0)))))))))))))))), 0'(2(0(0(4(0(4(1(0(2(3(4(4(1(2(z0))))))))))))))), 2'(0(0(4(0(4(1(0(2(3(4(4(1(2(z0)))))))))))))), 0'(0(4(0(4(1(0(2(3(4(4(1(2(z0))))))))))))), 0'(4(0(4(1(0(2(3(4(4(1(2(z0)))))))))))), 4'(0(4(1(0(2(3(4(4(1(2(z0))))))))))), 0'(4(1(0(2(3(4(4(1(2(z0)))))))))), 4'(1(0(2(3(4(4(1(2(z0))))))))), 1'(0(2(3(4(4(1(2(z0)))))))), 0'(2(3(4(4(1(2(z0))))))), 2'(3(4(4(1(2(z0)))))), 3'(4(4(1(2(z0))))), 4'(4(1(2(z0)))), 4'(1(2(z0))), 1'(2(z0)), 2'(z0))
   4'(c_1(c_1(c_0(c_3(c_0(c_1(c_3(c_0(c_4(c_4(c_2(c_1(c_2(c_4(c_2(c_0(c_0(c_3(c_0(z0)))))))))))))))))))) -> c107(2'(3(2(0(1(4(4(4(3(2(3(3(1(4(3(4(2(0(1(3(z0)))))))))))))))))))), 3'(2(0(1(4(4(4(3(2(3(3(1(4(3(4(2(0(1(3(z0))))))))))))))))))), 2'(0(1(4(4(4(3(2(3(3(1(4(3(4(2(0(1(3(z0)))))))))))))))))), 0'(1(4(4(4(3(2(3(3(1(4(3(4(2(0(1(3(z0))))))))))))))))), 1'(4(4(4(3(2(3(3(1(4(3(4(2(0(1(3(z0)))))))))))))))), 4'(4(4(3(2(3(3(1(4(3(4(2(0(1(3(z0))))))))))))))), 4'(4(3(2(3(3(1(4(3(4(2(0(1(3(z0)))))))))))))), 4'(3(2(3(3(1(4(3(4(2(0(1(3(z0))))))))))))), 3'(2(3(3(1(4(3(4(2(0(1(3(z0)))))))))))), 2'(3(3(1(4(3(4(2(0(1(3(z0))))))))))), 3'(3(1(4(3(4(2(0(1(3(z0)))))))))), 3'(1(4(3(4(2(0(1(3(z0))))))))), 1'(4(3(4(2(0(1(3(z0)))))))), 4'(3(4(2(0(1(3(z0))))))), 3'(4(2(0(1(3(z0)))))), 4'(2(0(1(3(z0))))), 2'(0(1(3(z0)))), 0'(1(3(z0))), 1'(3(z0)), 3'(z0))
   4'(c_3(c_3(c_2(c_2(c_1(c_3(c_4(c_4(c_2(c_4(c_2(c_3(c_0(c_0(c_2(c_2(c_3(c_2(c_4(z0)))))))))))))))))))) -> c108(3'(2(2(1(1(0(2(2(4(0(0(0(2(1(3(1(0(4(3(4(z0)))))))))))))))))))), 2'(2(1(1(0(2(2(4(0(0(0(2(1(3(1(0(4(3(4(z0))))))))))))))))))), 2'(1(1(0(2(2(4(0(0(0(2(1(3(1(0(4(3(4(z0)))))))))))))))))), 1'(1(0(2(2(4(0(0(0(2(1(3(1(0(4(3(4(z0))))))))))))))))), 1'(0(2(2(4(0(0(0(2(1(3(1(0(4(3(4(z0)))))))))))))))), 0'(2(2(4(0(0(0(2(1(3(1(0(4(3(4(z0))))))))))))))), 2'(2(4(0(0(0(2(1(3(1(0(4(3(4(z0)))))))))))))), 2'(4(0(0(0(2(1(3(1(0(4(3(4(z0))))))))))))), 4'(0(0(0(2(1(3(1(0(4(3(4(z0)))))))))))), 0'(0(0(2(1(3(1(0(4(3(4(z0))))))))))), 0'(0(2(1(3(1(0(4(3(4(z0)))))))))), 0'(2(1(3(1(0(4(3(4(z0))))))))), 2'(1(3(1(0(4(3(4(z0)))))))), 1'(3(1(0(4(3(4(z0))))))), 3'(1(0(4(3(4(z0)))))), 1'(0(4(3(4(z0))))), 0'(4(3(4(z0)))), 4'(3(4(z0))), 3'(4(z0)), 4'(z0))
   4'(c_1(c_0(c_2(c_0(c_3(c_2(c_1(c_1(c_3(c_1(c_1(c_0(c_1(c_1(c_2(c_0(c_0(c_4(c_4(z0)))))))))))))))))))) -> c109(2'(1(4(2(2(2(2(2(2(2(0(1(0(3(1(0(1(1(4(0(z0)))))))))))))))))))), 1'(4(2(2(2(2(2(2(2(0(1(0(3(1(0(1(1(4(0(z0))))))))))))))))))), 4'(2(2(2(2(2(2(2(0(1(0(3(1(0(1(1(4(0(z0)))))))))))))))))), 2'(2(2(2(2(2(2(0(1(0(3(1(0(1(1(4(0(z0))))))))))))))))), 2'(2(2(2(2(2(0(1(0(3(1(0(1(1(4(0(z0)))))))))))))))), 2'(2(2(2(2(0(1(0(3(1(0(1(1(4(0(z0))))))))))))))), 2'(2(2(2(0(1(0(3(1(0(1(1(4(0(z0)))))))))))))), 2'(2(2(0(1(0(3(1(0(1(1(4(0(z0))))))))))))), 2'(2(0(1(0(3(1(0(1(1(4(0(z0)))))))))))), 2'(0(1(0(3(1(0(1(1(4(0(z0))))))))))), 0'(1(0(3(1(0(1(1(4(0(z0)))))))))), 1'(0(3(1(0(1(1(4(0(z0))))))))), 0'(3(1(0(1(1(4(0(z0)))))))), 3'(1(0(1(1(4(0(z0))))))), 1'(0(1(1(4(0(z0)))))), 0'(1(1(4(0(z0))))), 1'(1(4(0(z0)))), 1'(4(0(z0))), 4'(0(z0)), 0'(z0))
   4'(c_1(c_1(c_1(c_2(c_2(c_3(c_3(c_3(c_4(c_4(c_0(c_2(c_0(c_2(c_1(c_0(c_1(c_0(c_0(z0)))))))))))))))))))) -> c110(1'(1(0(3(4(0(2(3(1(4(2(4(1(0(4(0(3(1(1(4(z0)))))))))))))))))))), 1'(0(3(4(0(2(3(1(4(2(4(1(0(4(0(3(1(1(4(z0))))))))))))))))))), 0'(3(4(0(2(3(1(4(2(4(1(0(4(0(3(1(1(4(z0)))))))))))))))))), 3'(4(0(2(3(1(4(2(4(1(0(4(0(3(1(1(4(z0))))))))))))))))), 4'(0(2(3(1(4(2(4(1(0(4(0(3(1(1(4(z0)))))))))))))))), 0'(2(3(1(4(2(4(1(0(4(0(3(1(1(4(z0))))))))))))))), 2'(3(1(4(2(4(1(0(4(0(3(1(1(4(z0)))))))))))))), 3'(1(4(2(4(1(0(4(0(3(1(1(4(z0))))))))))))), 1'(4(2(4(1(0(4(0(3(1(1(4(z0)))))))))))), 4'(2(4(1(0(4(0(3(1(1(4(z0))))))))))), 2'(4(1(0(4(0(3(1(1(4(z0)))))))))), 4'(1(0(4(0(3(1(1(4(z0))))))))), 1'(0(4(0(3(1(1(4(z0)))))))), 0'(4(0(3(1(1(4(z0))))))), 4'(0(3(1(1(4(z0)))))), 0'(3(1(1(4(z0))))), 3'(1(1(4(z0)))), 1'(1(4(z0))), 1'(4(z0)), 4'(z0))
   4'(c_4(c_1(c_1(c_2(c_0(c_1(c_0(c_2(c_2(c_1(c_0(c_0(c_1(c_0(c_0(c_1(c_1(c_3(c_2(z0)))))))))))))))))))) -> c111(3'(1(4(1(4(4(3(1(2(3(3(2(1(3(3(1(1(3(2(4(z0)))))))))))))))))))), 1'(4(1(4(4(3(1(2(3(3(2(1(3(3(1(1(3(2(4(z0))))))))))))))))))), 4'(1(4(4(3(1(2(3(3(2(1(3(3(1(1(3(2(4(z0)))))))))))))))))), 1'(4(4(3(1(2(3(3(2(1(3(3(1(1(3(2(4(z0))))))))))))))))), 4'(4(3(1(2(3(3(2(1(3(3(1(1(3(2(4(z0)))))))))))))))), 4'(3(1(2(3(3(2(1(3(3(1(1(3(2(4(z0))))))))))))))), 3'(1(2(3(3(2(1(3(3(1(1(3(2(4(z0)))))))))))))), 1'(2(3(3(2(1(3(3(1(1(3(2(4(z0))))))))))))), 2'(3(3(2(1(3(3(1(1(3(2(4(z0)))))))))))), 3'(3(2(1(3(3(1(1(3(2(4(z0))))))))))), 3'(2(1(3(3(1(1(3(2(4(z0)))))))))), 2'(1(3(3(1(1(3(2(4(z0))))))))), 1'(3(3(1(1(3(2(4(z0)))))))), 3'(3(1(1(3(2(4(z0))))))), 3'(1(1(3(2(4(z0)))))), 1'(1(3(2(4(z0))))), 1'(3(2(4(z0)))), 3'(2(4(z0))), 2'(4(z0)), 4'(z0))
   4'(c_4(c_3(c_4(c_4(c_2(c_4(c_1(c_1(c_0(c_2(c_3(c_1(c_0(c_3(c_1(c_2(c_2(c_4(c_0(z0)))))))))))))))))))) -> c112(1'(2(1(1(1(2(4(1(4(3(1(4(1(4(3(2(0(4(2(2(z0)))))))))))))))))))), 2'(1(1(1(2(4(1(4(3(1(4(1(4(3(2(0(4(2(2(z0))))))))))))))))))), 1'(1(1(2(4(1(4(3(1(4(1(4(3(2(0(4(2(2(z0)))))))))))))))))), 1'(1(2(4(1(4(3(1(4(1(4(3(2(0(4(2(2(z0))))))))))))))))), 1'(2(4(1(4(3(1(4(1(4(3(2(0(4(2(2(z0)))))))))))))))), 2'(4(1(4(3(1(4(1(4(3(2(0(4(2(2(z0))))))))))))))), 4'(1(4(3(1(4(1(4(3(2(0(4(2(2(z0)))))))))))))), 1'(4(3(1(4(1(4(3(2(0(4(2(2(z0))))))))))))), 4'(3(1(4(1(4(3(2(0(4(2(2(z0)))))))))))), 3'(1(4(1(4(3(2(0(4(2(2(z0))))))))))), 1'(4(1(4(3(2(0(4(2(2(z0)))))))))), 4'(1(4(3(2(0(4(2(2(z0))))))))), 1'(4(3(2(0(4(2(2(z0)))))))), 4'(3(2(0(4(2(2(z0))))))), 3'(2(0(4(2(2(z0)))))), 2'(0(4(2(2(z0))))), 0'(4(2(2(z0)))), 4'(2(2(z0))), 2'(2(z0)), 2'(z0))
   4'(c_0(c_4(c_3(c_0(c_0(c_2(c_1(c_2(c_2(c_0(c_3(c_0(c_3(c_1(c_1(c_1(c_3(c_3(c_3(z0)))))))))))))))))))) -> c113(4'(1(2(1(1(2(2(1(1(2(0(1(0(2(4(4(1(1(1(0(z0)))))))))))))))))))), 1'(2(1(1(2(2(1(1(2(0(1(0(2(4(4(1(1(1(0(z0))))))))))))))))))), 2'(1(1(2(2(1(1(2(0(1(0(2(4(4(1(1(1(0(z0)))))))))))))))))), 1'(1(2(2(1(1(2(0(1(0(2(4(4(1(1(1(0(z0))))))))))))))))), 1'(2(2(1(1(2(0(1(0(2(4(4(1(1(1(0(z0)))))))))))))))), 2'(2(1(1(2(0(1(0(2(4(4(1(1(1(0(z0))))))))))))))), 2'(1(1(2(0(1(0(2(4(4(1(1(1(0(z0)))))))))))))), 1'(1(2(0(1(0(2(4(4(1(1(1(0(z0))))))))))))), 1'(2(0(1(0(2(4(4(1(1(1(0(z0)))))))))))), 2'(0(1(0(2(4(4(1(1(1(0(z0))))))))))), 0'(1(0(2(4(4(1(1(1(0(z0)))))))))), 1'(0(2(4(4(1(1(1(0(z0))))))))), 0'(2(4(4(1(1(1(0(z0)))))))), 2'(4(4(1(1(1(0(z0))))))), 4'(4(1(1(1(0(z0)))))), 4'(1(1(1(0(z0))))), 1'(1(1(0(z0)))), 1'(1(0(z0))), 1'(0(z0)), 0'(z0))
K tuples:none
Defined Rule Symbols:   1_1, 3_1, 0_1, 4_1, 2_1, encArg_1, encode_0_1, encode_1_1, encode_2_1, encode_3_1, encode_4_1

Defined Pair Symbols:   ENCARG_1, 0'_1, 1'_1, 2'_1, 3'_1, 4'_1, ENCODE_0_1, ENCODE_1_1, ENCODE_2_1, ENCODE_3_1, ENCODE_4_1

Compound Symbols:   c_2, c1_2, c2_2, c3_2, c4_2, c11_20, c12_20, c13_20, c14_20, c15_20, c16_20, c17_20, c18_20, c19_20, c20_20, c21_20, c22_20, c23_20, c24_20, c25_20, c26_20, c27_20, c28_20, c29_20, c30_20, c32_20, c33_20, c34_20, c35_20, c36_20, c37_20, c38_20, c39_20, c40_20, c41_20, c42_20, c44_20, c45_20, c46_20, c47_20, c48_20, c49_20, c50_20, c51_20, c52_20, c53_20, c54_20, c55_20, c56_20, c57_20, c58_20, c59_20, c60_20, c61_20, c62_20, c63_20, c65_20, c66_20, c67_20, c68_20, c69_20, c70_20, c71_20, c72_20, c73_20, c74_20, c75_20, c76_20, c77_20, c78_20, c79_20, c80_20, c81_20, c82_20, c83_20, c84_20, c85_20, c86_20, c87_20, c88_20, c90_20, c91_20, c92_20, c93_20, c94_20, c95_20, c96_20, c97_20, c98_20, c99_20, c100_20, c101_20, c102_20, c103_20, c104_20, c105_20, c106_20, c107_20, c108_20, c109_20, c110_20, c111_20, c112_20, c113_20, c10_1


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

(43) CdtLeafRemovalProof (ComplexityIfPolyImplication)
Removed 5 leading nodes:
   ENCODE_0(z0) -> c10(ENCARG(z0))
   ENCODE_1(z0) -> c10(ENCARG(z0))
   ENCODE_2(z0) -> c10(ENCARG(z0))
   ENCODE_3(z0) -> c10(ENCARG(z0))
   ENCODE_4(z0) -> c10(ENCARG(z0))

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

(44)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(cons_0(z0)) -> 0(encArg(z0))
   encArg(cons_1(z0)) -> 1(encArg(z0))
   encArg(cons_2(z0)) -> 2(encArg(z0))
   encArg(cons_3(z0)) -> 3(encArg(z0))
   encArg(cons_4(z0)) -> 4(encArg(z0))
   encode_0(z0) -> 0(encArg(z0))
   encode_1(z0) -> 1(encArg(z0))
   encode_2(z0) -> 2(encArg(z0))
   encode_3(z0) -> 3(encArg(z0))
   encode_4(z0) -> 4(encArg(z0))
   0(z0) -> c_0(z0)
   0(c_4(c_4(c_4(c_0(c_2(c_2(c_1(c_3(c_2(c_1(c_0(c_4(c_1(c_3(c_0(c_1(c_3(c_4(c_4(z0)))))))))))))))))))) -> 3(2(3(0(1(2(2(3(1(4(0(4(1(1(1(4(2(2(1(1(z0))))))))))))))))))))
   0(c_1(c_4(c_2(c_3(c_1(c_1(c_2(c_3(c_2(c_3(c_1(c_0(c_1(c_0(c_2(c_0(c_2(c_3(c_2(z0)))))))))))))))))))) -> 3(1(3(2(0(4(1(3(2(1(0(4(0(4(4(3(2(1(4(3(z0))))))))))))))))))))
   0(c_3(c_0(c_0(c_1(c_1(c_4(c_3(c_4(c_3(c_0(c_4(c_2(c_1(c_4(c_3(c_4(c_2(c_1(c_2(z0)))))))))))))))))))) -> 1(4(0(1(2(2(2(3(4(4(2(4(2(2(1(3(1(4(2(4(z0))))))))))))))))))))
   0(c_0(c_0(c_0(c_1(c_0(c_2(c_2(c_3(c_2(c_1(c_1(c_0(c_3(c_2(c_1(c_1(c_1(c_2(c_4(z0)))))))))))))))))))) -> 0(3(2(3(3(2(1(4(2(2(2(1(0(0(2(0(1(2(2(4(z0))))))))))))))))))))
   0(c_2(c_1(c_4(c_2(c_4(c_3(c_4(c_0(c_0(c_3(c_0(c_2(c_4(c_1(c_4(c_4(c_0(c_1(c_1(z0)))))))))))))))))))) -> 4(4(3(3(1(4(0(3(2(3(3(1(4(0(1(2(1(4(1(0(z0))))))))))))))))))))
   0(c_0(c_4(c_0(c_2(c_1(c_4(c_1(c_4(c_0(c_1(c_2(c_0(c_0(c_4(c_1(c_0(c_3(c_2(c_1(z0)))))))))))))))))))) -> 2(3(3(3(1(3(2(4(2(1(1(3(0(2(1(2(3(4(2(1(z0))))))))))))))))))))
   0(c_1(c_4(c_3(c_4(c_0(c_1(c_0(c_2(c_3(c_4(c_0(c_3(c_4(c_2(c_0(c_1(c_4(c_0(c_3(z0)))))))))))))))))))) -> 0(3(3(4(2(1(0(1(3(3(0(3(2(4(1(3(2(3(1(4(z0))))))))))))))))))))
   0(c_0(c_2(c_2(c_2(c_1(c_2(c_3(c_0(c_2(c_0(c_4(c_4(c_0(c_3(c_3(c_3(c_0(c_0(c_3(z0)))))))))))))))))))) -> 0(0(0(3(3(1(1(1(4(4(1(4(3(3(0(3(3(2(4(3(z0))))))))))))))))))))
   0(c_4(c_4(c_1(c_1(c_0(c_1(c_4(c_1(c_1(c_1(c_4(c_0(c_1(c_0(c_0(c_4(c_1(c_4(c_3(z0)))))))))))))))))))) -> 2(2(1(0(2(2(3(4(2(1(2(0(3(0(3(3(1(1(4(2(z0))))))))))))))))))))
   0(c_2(c_0(c_1(c_2(c_0(c_3(c_1(c_2(c_1(c_3(c_3(c_1(c_3(c_2(c_0(c_0(c_4(c_2(c_1(z0)))))))))))))))))))) -> 1(2(2(0(4(4(0(3(1(4(1(3(4(3(3(4(4(4(2(1(z0))))))))))))))))))))
   0(c_3(c_2(c_0(c_1(c_4(c_3(c_0(c_2(c_4(c_0(c_2(c_0(c_0(c_1(c_4(c_4(c_2(c_4(c_4(z0)))))))))))))))))))) -> 4(0(0(0(4(4(2(1(3(1(0(1(2(2(2(4(4(4(2(3(z0))))))))))))))))))))
   0(c_2(c_1(c_4(c_4(c_4(c_3(c_4(c_2(c_1(c_1(c_0(c_0(c_1(c_4(c_4(c_2(c_0(c_3(c_4(z0)))))))))))))))))))) -> 1(0(1(4(2(1(0(2(4(4(4(0(1(1(3(1(3(4(3(1(z0))))))))))))))))))))
   0(c_4(c_1(c_1(c_1(c_2(c_1(c_4(c_3(c_2(c_4(c_4(c_2(c_2(c_4(c_2(c_0(c_4(c_1(c_1(z0)))))))))))))))))))) -> 2(1(1(4(2(2(3(1(3(1(2(2(2(4(1(3(3(4(3(0(z0))))))))))))))))))))
   0(c_4(c_4(c_3(c_2(c_0(c_4(c_1(c_0(c_4(c_3(c_1(c_1(c_0(c_2(c_1(c_1(c_3(c_2(c_1(z0)))))))))))))))))))) -> 2(1(2(2(1(2(3(2(1(2(4(2(4(2(3(2(3(4(4(1(z0))))))))))))))))))))
   0(c_2(c_4(c_3(c_1(c_4(c_0(c_3(c_3(c_4(c_4(c_2(c_2(c_4(c_4(c_0(c_4(c_1(c_0(c_0(z0)))))))))))))))))))) -> 4(2(1(0(1(3(3(4(0(0(2(3(3(4(3(1(4(1(0(4(z0))))))))))))))))))))
   0(c_1(c_4(c_0(c_3(c_1(c_3(c_3(c_0(c_3(c_1(c_4(c_4(c_1(c_1(c_1(c_4(c_0(c_4(c_0(z0)))))))))))))))))))) -> 3(2(0(3(2(4(3(4(4(2(1(0(1(4(1(3(1(4(4(4(z0))))))))))))))))))))
   0(c_2(c_3(c_4(c_2(c_2(c_4(c_4(c_1(c_0(c_3(c_2(c_2(c_4(c_2(c_2(c_3(c_1(c_1(c_4(z0)))))))))))))))))))) -> 1(3(1(4(0(3(1(1(4(3(3(2(2(1(2(0(2(0(3(4(z0))))))))))))))))))))
   0(c_1(c_4(c_1(c_3(c_1(c_0(c_2(c_4(c_1(c_3(c_0(c_4(c_3(c_1(c_3(c_1(c_1(c_1(c_0(z0)))))))))))))))))))) -> 3(2(1(1(4(1(2(1(4(0(2(1(1(4(4(0(1(2(2(1(z0))))))))))))))))))))
   0(c_1(c_3(c_0(c_2(c_4(c_3(c_0(c_3(c_1(c_0(c_2(c_4(c_2(c_2(c_0(c_3(c_4(c_1(c_1(z0)))))))))))))))))))) -> 4(0(2(4(3(1(3(1(0(2(3(3(2(1(0(4(4(1(2(1(z0))))))))))))))))))))
   0(c_2(c_1(c_2(c_1(c_0(c_2(c_3(c_0(c_0(c_4(c_2(c_3(c_1(c_4(c_0(c_3(c_1(c_3(c_1(z0)))))))))))))))))))) -> 3(1(2(3(4(3(0(2(2(2(1(2(2(3(4(2(1(4(3(1(z0))))))))))))))))))))
   1(z0) -> c_1(z0)
   1(c_0(c_0(c_4(c_0(c_0(c_1(c_2(c_3(c_0(c_1(c_4(c_1(c_3(c_0(c_2(c_1(c_4(c_0(c_0(z0)))))))))))))))))))) -> 4(1(2(4(1(3(3(4(3(3(3(1(2(2(4(1(0(3(3(1(z0))))))))))))))))))))
   1(c_1(c_0(c_2(c_4(c_4(c_4(c_1(c_2(c_4(c_4(c_1(c_0(c_4(c_2(c_2(c_1(c_3(c_0(c_3(z0)))))))))))))))))))) -> 2(1(1(1(1(3(3(4(3(1(1(4(4(2(1(3(1(0(0(3(z0))))))))))))))))))))
   1(c_4(c_1(c_3(c_0(c_1(c_1(c_1(c_1(c_0(c_4(c_0(c_0(c_3(c_0(c_3(c_2(c_4(c_3(c_4(z0)))))))))))))))))))) -> 1(4(4(0(4(0(0(2(4(0(4(3(2(1(2(4(2(4(3(1(z0))))))))))))))))))))
   1(c_4(c_2(c_4(c_4(c_3(c_3(c_4(c_3(c_3(c_4(c_1(c_4(c_1(c_2(c_3(c_4(c_1(c_1(c_2(z0)))))))))))))))))))) -> 3(2(2(0(3(0(2(2(1(2(1(0(3(4(1(3(1(2(1(2(z0))))))))))))))))))))
   1(c_0(c_0(c_0(c_3(c_2(c_4(c_3(c_1(c_2(c_3(c_0(c_2(c_4(c_1(c_0(c_1(c_2(c_4(c_2(z0)))))))))))))))))))) -> 2(0(0(4(4(1(4(3(2(1(3(1(3(0(4(1(1(4(0(2(z0))))))))))))))))))))
   1(c_4(c_1(c_2(c_3(c_0(c_0(c_2(c_3(c_4(c_1(c_4(c_0(c_2(c_0(c_4(c_1(c_1(c_2(c_0(z0)))))))))))))))))))) -> 4(3(1(2(1(4(4(3(4(3(2(2(1(3(2(1(3(4(1(4(z0))))))))))))))))))))
   1(c_3(c_4(c_3(c_0(c_3(c_1(c_4(c_3(c_2(c_4(c_0(c_1(c_0(c_0(c_1(c_3(c_3(c_1(c_1(z0)))))))))))))))))))) -> 1(2(2(4(3(1(4(4(3(1(1(0(3(3(0(3(0(1(0(4(z0))))))))))))))))))))
   1(c_2(c_4(c_4(c_0(c_0(c_4(c_3(c_0(c_2(c_2(c_3(c_0(c_0(c_4(c_4(c_3(c_3(c_3(c_2(z0)))))))))))))))))))) -> 4(2(3(2(1(0(4(3(3(1(3(3(1(4(2(0(0(1(4(3(z0))))))))))))))))))))
   1(c_0(c_1(c_1(c_3(c_3(c_0(c_2(c_0(c_2(c_2(c_1(c_0(c_4(c_1(c_0(c_4(c_3(c_1(c_4(z0)))))))))))))))))))) -> 1(2(4(1(0(0(0(1(4(2(0(0(4(4(4(1(4(3(1(4(z0))))))))))))))))))))
   1(c_2(c_0(c_3(c_1(c_0(c_2(c_0(c_4(c_1(c_4(c_4(c_2(c_4(c_0(c_4(c_3(c_4(c_4(c_3(z0)))))))))))))))))))) -> 2(1(4(4(4(1(4(1(1(2(4(1(1(2(2(1(1(0(0(0(z0))))))))))))))))))))
   1(c_4(c_2(c_3(c_1(c_4(c_2(c_2(c_0(c_4(c_2(c_3(c_0(c_1(c_3(c_2(c_1(c_3(c_3(c_4(z0)))))))))))))))))))) -> 1(4(1(3(4(3(0(1(4(0(2(1(0(1(1(0(3(1(2(2(z0))))))))))))))))))))
   2(z0) -> c_2(z0)
   2(c_1(c_3(c_3(c_4(c_1(c_4(c_0(c_4(c_0(c_3(c_0(c_0(c_2(c_4(c_1(c_4(c_0(c_0(c_3(z0)))))))))))))))))))) -> 1(0(0(4(3(3(0(3(2(2(4(3(2(2(1(1(3(1(4(1(z0))))))))))))))))))))
   2(c_4(c_2(c_3(c_0(c_2(c_3(c_2(c_2(c_3(c_2(c_1(c_0(c_3(c_4(c_1(c_3(c_1(c_0(c_1(z0)))))))))))))))))))) -> 1(3(0(4(4(1(3(2(1(0(2(4(1(0(2(2(0(4(4(1(z0))))))))))))))))))))
   2(c_2(c_2(c_0(c_0(c_0(c_3(c_4(c_4(c_0(c_2(c_1(c_2(c_0(c_0(c_2(c_0(c_3(c_0(c_0(z0)))))))))))))))))))) -> 4(2(3(4(0(4(2(1(0(3(1(1(1(3(0(0(3(1(2(0(z0))))))))))))))))))))
   2(c_0(c_0(c_3(c_3(c_1(c_0(c_4(c_2(c_3(c_1(c_2(c_3(c_0(c_4(c_1(c_3(c_0(c_4(c_4(z0)))))))))))))))))))) -> 4(0(3(4(3(3(1(2(1(4(1(4(4(3(0(3(0(1(0(0(z0))))))))))))))))))))
   2(c_3(c_0(c_4(c_0(c_2(c_4(c_4(c_4(c_2(c_1(c_2(c_0(c_3(c_2(c_2(c_1(c_1(c_3(c_0(z0)))))))))))))))))))) -> 2(1(1(1(4(4(1(1(4(0(2(3(2(4(1(0(2(4(2(1(z0))))))))))))))))))))
   2(c_4(c_3(c_4(c_4(c_4(c_4(c_3(c_2(c_4(c_4(c_2(c_3(c_3(c_1(c_1(c_0(c_4(c_2(c_2(z0)))))))))))))))))))) -> 4(1(4(3(4(2(2(1(2(1(4(4(3(1(0(4(3(4(0(0(z0))))))))))))))))))))
   2(c_2(c_3(c_3(c_0(c_2(c_0(c_3(c_0(c_1(c_4(c_3(c_2(c_2(c_1(c_0(c_2(c_2(c_4(c_4(z0)))))))))))))))))))) -> 4(1(2(4(2(1(4(2(2(0(3(0(1(4(1(2(4(3(4(0(z0))))))))))))))))))))
   2(c_3(c_0(c_4(c_1(c_3(c_1(c_3(c_0(c_0(c_1(c_1(c_1(c_1(c_2(c_3(c_1(c_4(c_2(c_1(z0)))))))))))))))))))) -> 1(0(2(2(2(3(3(1(0(4(3(1(4(2(2(1(1(0(3(1(z0))))))))))))))))))))
   2(c_0(c_0(c_0(c_0(c_1(c_4(c_4(c_3(c_1(c_3(c_3(c_2(c_2(c_1(c_4(c_4(c_2(c_3(c_1(z0)))))))))))))))))))) -> 2(4(1(0(1(4(3(1(2(2(2(1(1(1(3(4(4(0(1(2(z0))))))))))))))))))))
   2(c_3(c_0(c_2(c_4(c_0(c_1(c_0(c_3(c_4(c_3(c_3(c_1(c_4(c_1(c_0(c_4(c_3(c_2(c_2(z0)))))))))))))))))))) -> 3(1(3(1(2(2(0(4(1(3(1(1(4(2(3(4(4(4(4(4(z0))))))))))))))))))))
   2(c_2(c_3(c_3(c_1(c_3(c_1(c_2(c_0(c_0(c_4(c_3(c_4(c_2(c_2(c_0(c_2(c_2(c_4(c_0(z0)))))))))))))))))))) -> 2(1(2(0(4(4(1(0(2(4(1(3(2(1(3(1(0(2(3(3(z0))))))))))))))))))))
   2(c_1(c_1(c_3(c_2(c_4(c_3(c_0(c_1(c_4(c_2(c_0(c_3(c_1(c_2(c_0(c_4(c_0(c_3(c_2(z0)))))))))))))))))))) -> 2(2(1(0(4(2(0(1(3(0(4(1(2(4(4(3(2(2(1(2(z0))))))))))))))))))))
   2(c_0(c_4(c_3(c_4(c_4(c_2(c_1(c_0(c_0(c_2(c_4(c_4(c_2(c_1(c_1(c_1(c_1(c_1(c_4(z0)))))))))))))))))))) -> 0(4(0(1(2(2(1(4(2(1(4(3(0(4(3(4(1(1(3(1(z0))))))))))))))))))))
   2(c_3(c_3(c_3(c_4(c_0(c_4(c_1(c_0(c_2(c_2(c_4(c_2(c_4(c_1(c_1(c_3(c_3(c_4(c_1(z0)))))))))))))))))))) -> 4(2(1(4(1(0(3(1(4(4(3(3(0(1(3(1(2(4(3(0(z0))))))))))))))))))))
   2(c_0(c_1(c_4(c_4(c_3(c_3(c_4(c_2(c_3(c_1(c_3(c_1(c_1(c_3(c_0(c_4(c_1(c_3(c_2(z0)))))))))))))))))))) -> 2(1(4(3(1(0(3(1(4(4(4(2(2(0(0(4(2(0(2(2(z0))))))))))))))))))))
   2(c_2(c_4(c_1(c_0(c_3(c_0(c_4(c_2(c_4(c_3(c_3(c_4(c_3(c_3(c_1(c_0(c_1(c_0(c_0(z0)))))))))))))))))))) -> 0(4(3(4(1(0(3(4(4(4(3(0(4(0(1(2(1(3(1(4(z0))))))))))))))))))))
   2(c_3(c_4(c_4(c_0(c_0(c_4(c_4(c_4(c_3(c_3(c_0(c_4(c_2(c_2(c_3(c_0(c_0(c_1(c_3(z0)))))))))))))))))))) -> 0(2(0(4(3(3(2(1(4(4(1(2(0(1(2(4(3(3(4(1(z0))))))))))))))))))))
   2(c_3(c_1(c_3(c_2(c_1(c_4(c_1(c_0(c_2(c_4(c_2(c_0(c_0(c_2(c_3(c_4(c_4(c_3(c_2(z0)))))))))))))))))))) -> 4(1(1(4(3(2(3(1(4(1(4(4(1(3(1(2(3(4(4(1(z0))))))))))))))))))))
   2(c_3(c_2(c_4(c_2(c_1(c_0(c_0(c_2(c_4(c_3(c_4(c_1(c_1(c_3(c_2(c_4(c_2(c_1(c_2(z0)))))))))))))))))))) -> 2(3(2(1(1(0(2(0(1(1(3(2(1(4(3(1(1(0(3(1(z0))))))))))))))))))))
   2(c_0(c_2(c_2(c_1(c_3(c_3(c_2(c_4(c_0(c_1(c_0(c_3(c_1(c_4(c_0(c_0(c_0(c_1(c_3(z0)))))))))))))))))))) -> 1(3(4(2(0(1(1(3(1(3(4(4(2(3(1(0(1(3(1(3(z0))))))))))))))))))))
   3(z0) -> c_3(z0)
   3(c_0(c_3(c_3(c_3(c_4(c_2(c_1(c_4(c_2(c_2(c_3(c_2(c_0(c_4(c_4(c_4(c_1(c_1(c_1(z0)))))))))))))))))))) -> 1(4(3(4(2(2(4(3(2(0(1(4(1(1(3(1(2(1(1(3(z0))))))))))))))))))))
   3(c_1(c_0(c_0(c_1(c_0(c_4(c_4(c_1(c_0(c_1(c_2(c_4(c_0(c_2(c_1(c_3(c_0(c_2(c_0(z0)))))))))))))))))))) -> 4(4(3(2(4(2(1(2(0(0(1(4(2(3(0(0(1(0(1(4(z0))))))))))))))))))))
   3(c_0(c_3(c_0(c_4(c_1(c_3(c_1(c_1(c_0(c_4(c_1(c_2(c_3(c_4(c_1(c_1(c_0(c_1(c_4(z0)))))))))))))))))))) -> 2(0(1(2(4(3(2(1(4(2(4(0(3(2(4(2(3(1(4(1(z0))))))))))))))))))))
   3(c_3(c_0(c_3(c_0(c_4(c_2(c_0(c_1(c_3(c_3(c_4(c_1(c_0(c_3(c_2(c_2(c_1(c_1(c_1(z0)))))))))))))))))))) -> 4(0(1(3(1(2(1(0(1(1(2(3(0(4(3(3(1(3(0(1(z0))))))))))))))))))))
   3(c_3(c_1(c_1(c_2(c_2(c_4(c_2(c_1(c_4(c_3(c_3(c_4(c_3(c_1(c_0(c_0(c_2(c_1(c_1(z0)))))))))))))))))))) -> 2(2(2(0(3(1(1(1(4(1(0(3(1(2(1(4(1(3(1(1(z0))))))))))))))))))))
   3(c_2(c_0(c_0(c_1(c_4(c_1(c_0(c_3(c_3(c_0(c_3(c_0(c_1(c_4(c_1(c_3(c_3(c_2(c_1(z0)))))))))))))))))))) -> 1(2(2(2(1(1(4(3(0(3(2(2(4(2(1(4(4(3(1(4(z0))))))))))))))))))))
   3(c_3(c_4(c_1(c_1(c_4(c_4(c_3(c_1(c_0(c_1(c_3(c_0(c_0(c_3(c_1(c_3(c_3(c_2(c_0(z0)))))))))))))))))))) -> 2(1(4(1(1(1(4(2(4(2(4(1(3(4(2(3(3(2(2(4(z0))))))))))))))))))))
   3(c_4(c_1(c_4(c_3(c_2(c_2(c_4(c_1(c_1(c_4(c_4(c_2(c_3(c_0(c_1(c_1(c_3(c_0(c_1(z0)))))))))))))))))))) -> 4(1(4(0(1(4(1(2(2(4(2(2(1(2(2(1(1(1(3(2(z0))))))))))))))))))))
   3(c_4(c_2(c_4(c_2(c_0(c_3(c_4(c_2(c_4(c_3(c_1(c_4(c_3(c_4(c_0(c_4(c_4(c_3(c_1(z0)))))))))))))))))))) -> 3(4(1(3(2(3(3(4(4(1(1(3(1(3(3(1(1(4(1(0(z0))))))))))))))))))))
   3(c_2(c_1(c_0(c_2(c_3(c_1(c_2(c_3(c_2(c_0(c_1(c_0(c_3(c_0(c_0(c_1(c_4(c_2(c_1(z0)))))))))))))))))))) -> 1(3(1(4(1(1(1(4(0(0(2(1(0(4(1(2(2(3(1(1(z0))))))))))))))))))))
   3(c_1(c_0(c_0(c_0(c_4(c_0(c_4(c_3(c_0(c_2(c_4(c_3(c_3(c_3(c_1(c_1(c_3(c_0(c_1(z0)))))))))))))))))))) -> 4(2(4(2(0(1(2(3(4(1(0(3(1(2(2(0(4(4(2(4(z0))))))))))))))))))))
   3(c_4(c_2(c_1(c_4(c_1(c_3(c_4(c_3(c_4(c_2(c_0(c_2(c_2(c_4(c_3(c_0(c_1(c_0(c_1(z0)))))))))))))))))))) -> 4(2(1(4(1(2(2(2(2(2(3(1(0(1(2(4(3(1(2(4(z0))))))))))))))))))))
   3(c_4(c_0(c_0(c_1(c_2(c_0(c_4(c_4(c_4(c_4(c_4(c_1(c_2(c_2(c_4(c_4(c_0(c_3(c_0(z0)))))))))))))))))))) -> 3(2(3(4(1(1(4(3(4(4(1(1(2(2(4(4(0(0(4(0(z0))))))))))))))))))))
   3(c_2(c_4(c_4(c_2(c_0(c_2(c_4(c_4(c_3(c_3(c_1(c_1(c_2(c_4(c_2(c_3(c_4(c_4(c_2(z0)))))))))))))))))))) -> 1(4(1(3(3(2(1(2(3(4(2(4(1(3(0(4(2(1(3(1(z0))))))))))))))))))))
   3(c_4(c_0(c_3(c_1(c_3(c_3(c_3(c_0(c_1(c_3(c_2(c_2(c_3(c_4(c_2(c_2(c_4(c_4(c_2(z0)))))))))))))))))))) -> 0(3(2(1(1(1(3(2(4(0(3(0(3(3(0(2(1(2(1(2(z0))))))))))))))))))))
   3(c_4(c_0(c_0(c_4(c_1(c_4(c_1(c_1(c_0(c_1(c_0(c_1(c_2(c_1(c_3(c_2(c_2(c_3(c_4(z0)))))))))))))))))))) -> 1(3(4(2(1(3(0(1(4(3(1(3(4(0(4(1(2(4(0(2(z0))))))))))))))))))))
   3(c_2(c_2(c_3(c_3(c_0(c_0(c_4(c_4(c_0(c_4(c_4(c_4(c_2(c_3(c_3(c_1(c_1(c_2(c_1(z0)))))))))))))))))))) -> 3(0(3(4(4(4(4(1(4(3(3(0(0(2(3(2(1(2(2(1(z0))))))))))))))))))))
   3(c_2(c_4(c_0(c_0(c_2(c_4(c_0(c_4(c_3(c_4(c_2(c_1(c_1(c_2(c_4(c_3(c_3(c_2(c_1(z0)))))))))))))))))))) -> 0(3(3(4(3(1(4(2(4(3(2(1(4(1(4(0(3(1(4(2(z0))))))))))))))))))))
   3(c_0(c_2(c_2(c_1(c_0(c_0(c_0(c_0(c_0(c_3(c_1(c_0(c_0(c_4(c_3(c_4(c_2(c_2(c_0(z0)))))))))))))))))))) -> 3(2(2(0(0(2(2(4(0(4(3(4(3(0(2(2(3(2(1(0(z0))))))))))))))))))))
   3(c_0(c_3(c_0(c_0(c_1(c_3(c_2(c_4(c_4(c_4(c_0(c_3(c_0(c_1(c_4(c_1(c_2(c_4(c_3(z0)))))))))))))))))))) -> 2(2(3(2(1(0(2(0(0(2(0(4(0(4(0(4(3(2(2(3(z0))))))))))))))))))))
   3(c_4(c_4(c_0(c_0(c_0(c_0(c_3(c_2(c_2(c_2(c_1(c_4(c_4(c_4(c_1(c_2(c_4(c_0(c_3(z0)))))))))))))))))))) -> 1(1(4(0(0(2(0(1(2(2(2(2(0(1(3(1(0(2(0(0(z0))))))))))))))))))))
   3(c_0(c_1(c_4(c_2(c_2(c_1(c_1(c_2(c_4(c_4(c_1(c_1(c_1(c_3(c_1(c_1(c_3(c_3(c_3(z0)))))))))))))))))))) -> 3(3(4(2(1(1(3(1(2(1(2(2(1(3(4(1(4(2(4(2(z0))))))))))))))))))))
   3(c_1(c_4(c_4(c_1(c_4(c_3(c_4(c_0(c_3(c_0(c_2(c_0(c_3(c_2(c_1(c_2(c_3(c_2(c_4(z0)))))))))))))))))))) -> 2(0(3(1(2(3(1(2(1(2(1(3(3(4(2(0(0(2(2(1(z0))))))))))))))))))))
   3(c_3(c_3(c_4(c_2(c_3(c_3(c_0(c_1(c_3(c_4(c_4(c_4(c_0(c_4(c_2(c_2(c_4(c_0(c_2(z0)))))))))))))))))))) -> 3(4(3(4(1(3(4(2(2(2(2(0(4(1(3(3(1(1(4(4(z0))))))))))))))))))))
   4(z0) -> c_4(z0)
   4(c_1(c_3(c_2(c_2(c_4(c_4(c_2(c_0(c_0(c_3(c_2(c_3(c_1(c_1(c_3(c_2(c_3(c_3(c_1(z0)))))))))))))))))))) -> 3(2(1(2(1(3(2(1(3(2(3(2(1(1(2(1(2(3(4(3(z0))))))))))))))))))))
   4(c_0(c_3(c_0(c_3(c_1(c_1(c_2(c_0(c_4(c_3(c_0(c_4(c_3(c_1(c_0(c_0(c_4(c_2(c_4(z0)))))))))))))))))))) -> 2(4(4(4(4(2(2(2(2(4(3(2(2(3(4(1(2(0(1(3(z0))))))))))))))))))))
   4(c_3(c_4(c_3(c_4(c_4(c_3(c_0(c_3(c_3(c_2(c_2(c_3(c_1(c_3(c_2(c_2(c_3(c_4(c_1(z0)))))))))))))))))))) -> 4(1(0(0(4(3(4(1(2(4(3(3(2(1(3(4(1(0(3(1(z0))))))))))))))))))))
   4(c_4(c_0(c_4(c_4(c_1(c_0(c_3(c_3(c_2(c_0(c_3(c_0(c_1(c_3(c_0(c_3(c_1(c_3(c_3(z0)))))))))))))))))))) -> 2(1(0(3(1(3(1(4(3(3(0(0(1(4(4(1(2(2(3(0(z0))))))))))))))))))))
   4(c_2(c_1(c_2(c_1(c_1(c_2(c_3(c_4(c_2(c_3(c_2(c_1(c_4(c_2(c_2(c_4(c_0(c_3(c_0(z0)))))))))))))))))))) -> 3(1(0(2(1(3(1(2(1(0(2(1(1(3(1(0(4(0(3(4(z0))))))))))))))))))))
   4(c_0(c_2(c_4(c_2(c_1(c_4(c_2(c_4(c_2(c_4(c_1(c_2(c_0(c_1(c_0(c_3(c_0(c_3(c_0(z0)))))))))))))))))))) -> 0(3(1(0(4(1(4(2(3(1(4(4(1(2(0(1(0(0(0(4(z0))))))))))))))))))))
   4(c_3(c_2(c_0(c_1(c_0(c_2(c_2(c_3(c_1(c_4(c_0(c_0(c_3(c_4(c_0(c_0(c_1(c_1(c_2(z0)))))))))))))))))))) -> 3(2(0(3(0(0(4(1(1(4(2(4(1(4(3(1(3(1(4(3(z0))))))))))))))))))))
   4(c_1(c_3(c_4(c_1(c_3(c_0(c_2(c_4(c_3(c_4(c_3(c_3(c_1(c_0(c_2(c_0(c_1(c_2(c_4(z0)))))))))))))))))))) -> 2(0(4(4(1(0(2(2(1(1(4(0(4(0(1(4(0(4(4(3(z0))))))))))))))))))))
   4(c_3(c_1(c_3(c_2(c_2(c_4(c_0(c_1(c_0(c_4(c_0(c_0(c_2(c_1(c_0(c_1(c_4(c_3(c_0(z0)))))))))))))))))))) -> 1(3(1(1(1(1(3(4(4(1(4(4(1(4(0(4(2(4(1(3(z0))))))))))))))))))))
   4(c_1(c_3(c_4(c_2(c_3(c_0(c_4(c_4(c_3(c_3(c_1(c_1(c_3(c_4(c_1(c_1(c_3(c_3(c_0(z0)))))))))))))))))))) -> 2(4(4(4(4(2(2(4(1(0(2(2(4(0(3(2(2(2(2(2(z0))))))))))))))))))))
   4(c_3(c_4(c_4(c_2(c_2(c_3(c_2(c_0(c_4(c_2(c_4(c_2(c_2(c_1(c_4(c_2(c_3(c_3(c_0(z0)))))))))))))))))))) -> 1(2(1(2(1(1(0(4(0(1(1(4(2(1(0(4(1(0(4(3(z0))))))))))))))))))))
   4(c_4(c_3(c_2(c_1(c_2(c_0(c_3(c_0(c_4(c_0(c_2(c_1(c_4(c_4(c_0(c_2(c_1(c_3(c_0(z0)))))))))))))))))))) -> 4(2(4(1(4(2(2(0(1(0(3(1(3(0(1(3(3(2(1(0(z0))))))))))))))))))))
   4(c_1(c_2(c_1(c_0(c_4(c_3(c_1(c_3(c_0(c_2(c_3(c_3(c_4(c_3(c_1(c_0(c_0(c_0(c_4(z0)))))))))))))))))))) -> 3(2(0(2(2(1(2(1(1(2(3(0(1(3(3(3(2(4(1(0(z0))))))))))))))))))))
   4(c_0(c_0(c_3(c_3(c_1(c_0(c_2(c_2(c_0(c_4(c_0(c_4(c_3(c_0(c_0(c_2(c_2(c_1(c_3(z0)))))))))))))))))))) -> 0(0(3(2(1(2(3(2(4(3(1(2(0(2(2(1(1(0(3(1(z0))))))))))))))))))))
   4(c_3(c_4(c_3(c_4(c_4(c_2(c_0(c_4(c_4(c_2(c_0(c_2(c_0(c_4(c_4(c_2(c_2(c_3(c_3(z0)))))))))))))))))))) -> 3(4(0(1(3(0(0(4(3(1(2(2(3(1(3(4(2(2(0(3(z0))))))))))))))))))))
   4(c_3(c_2(c_3(c_2(c_2(c_1(c_2(c_0(c_3(c_0(c_0(c_0(c_1(c_1(c_3(c_2(c_4(c_3(c_4(z0)))))))))))))))))))) -> 1(3(1(4(0(2(1(0(0(1(3(4(0(3(3(4(2(1(2(1(z0))))))))))))))))))))
   4(c_0(c_2(c_1(c_3(c_3(c_4(c_4(c_0(c_0(c_0(c_3(c_2(c_3(c_4(c_4(c_4(c_3(c_2(c_3(z0)))))))))))))))))))) -> 4(0(2(1(4(0(2(0(0(4(0(4(1(0(2(3(4(4(1(2(z0))))))))))))))))))))
   4(c_1(c_1(c_0(c_3(c_0(c_1(c_3(c_0(c_4(c_4(c_2(c_1(c_2(c_4(c_2(c_0(c_0(c_3(c_0(z0)))))))))))))))))))) -> 2(3(2(0(1(4(4(4(3(2(3(3(1(4(3(4(2(0(1(3(z0))))))))))))))))))))
   4(c_3(c_3(c_2(c_2(c_1(c_3(c_4(c_4(c_2(c_4(c_2(c_3(c_0(c_0(c_2(c_2(c_3(c_2(c_4(z0)))))))))))))))))))) -> 3(2(2(1(1(0(2(2(4(0(0(0(2(1(3(1(0(4(3(4(z0))))))))))))))))))))
   4(c_1(c_0(c_2(c_0(c_3(c_2(c_1(c_1(c_3(c_1(c_1(c_0(c_1(c_1(c_2(c_0(c_0(c_4(c_4(z0)))))))))))))))))))) -> 2(1(4(2(2(2(2(2(2(2(0(1(0(3(1(0(1(1(4(0(z0))))))))))))))))))))
   4(c_1(c_1(c_1(c_2(c_2(c_3(c_3(c_3(c_4(c_4(c_0(c_2(c_0(c_2(c_1(c_0(c_1(c_0(c_0(z0)))))))))))))))))))) -> 1(1(0(3(4(0(2(3(1(4(2(4(1(0(4(0(3(1(1(4(z0))))))))))))))))))))
   4(c_4(c_1(c_1(c_2(c_0(c_1(c_0(c_2(c_2(c_1(c_0(c_0(c_1(c_0(c_0(c_1(c_1(c_3(c_2(z0)))))))))))))))))))) -> 3(1(4(1(4(4(3(1(2(3(3(2(1(3(3(1(1(3(2(4(z0))))))))))))))))))))
   4(c_4(c_3(c_4(c_4(c_2(c_4(c_1(c_1(c_0(c_2(c_3(c_1(c_0(c_3(c_1(c_2(c_2(c_4(c_0(z0)))))))))))))))))))) -> 1(2(1(1(1(2(4(1(4(3(1(4(1(4(3(2(0(4(2(2(z0))))))))))))))))))))
   4(c_0(c_4(c_3(c_0(c_0(c_2(c_1(c_2(c_2(c_0(c_3(c_0(c_3(c_1(c_1(c_1(c_3(c_3(c_3(z0)))))))))))))))))))) -> 4(1(2(1(1(2(2(1(1(2(0(1(0(2(4(4(1(1(1(0(z0))))))))))))))))))))
Tuples:
   ENCARG(cons_0(z0)) -> c(0'(encArg(z0)), ENCARG(z0))
   ENCARG(cons_1(z0)) -> c1(1'(encArg(z0)), ENCARG(z0))
   ENCARG(cons_2(z0)) -> c2(2'(encArg(z0)), ENCARG(z0))
   ENCARG(cons_3(z0)) -> c3(3'(encArg(z0)), ENCARG(z0))
   ENCARG(cons_4(z0)) -> c4(4'(encArg(z0)), ENCARG(z0))
   0'(c_4(c_4(c_4(c_0(c_2(c_2(c_1(c_3(c_2(c_1(c_0(c_4(c_1(c_3(c_0(c_1(c_3(c_4(c_4(z0)))))))))))))))))))) -> c11(3'(2(3(0(1(2(2(3(1(4(0(4(1(1(1(4(2(2(1(1(z0)))))))))))))))))))), 2'(3(0(1(2(2(3(1(4(0(4(1(1(1(4(2(2(1(1(z0))))))))))))))))))), 3'(0(1(2(2(3(1(4(0(4(1(1(1(4(2(2(1(1(z0)))))))))))))))))), 0'(1(2(2(3(1(4(0(4(1(1(1(4(2(2(1(1(z0))))))))))))))))), 1'(2(2(3(1(4(0(4(1(1(1(4(2(2(1(1(z0)))))))))))))))), 2'(2(3(1(4(0(4(1(1(1(4(2(2(1(1(z0))))))))))))))), 2'(3(1(4(0(4(1(1(1(4(2(2(1(1(z0)))))))))))))), 3'(1(4(0(4(1(1(1(4(2(2(1(1(z0))))))))))))), 1'(4(0(4(1(1(1(4(2(2(1(1(z0)))))))))))), 4'(0(4(1(1(1(4(2(2(1(1(z0))))))))))), 0'(4(1(1(1(4(2(2(1(1(z0)))))))))), 4'(1(1(1(4(2(2(1(1(z0))))))))), 1'(1(1(4(2(2(1(1(z0)))))))), 1'(1(4(2(2(1(1(z0))))))), 1'(4(2(2(1(1(z0)))))), 4'(2(2(1(1(z0))))), 2'(2(1(1(z0)))), 2'(1(1(z0))), 1'(1(z0)), 1'(z0))
   0'(c_1(c_4(c_2(c_3(c_1(c_1(c_2(c_3(c_2(c_3(c_1(c_0(c_1(c_0(c_2(c_0(c_2(c_3(c_2(z0)))))))))))))))))))) -> c12(3'(1(3(2(0(4(1(3(2(1(0(4(0(4(4(3(2(1(4(3(z0)))))))))))))))))))), 1'(3(2(0(4(1(3(2(1(0(4(0(4(4(3(2(1(4(3(z0))))))))))))))))))), 3'(2(0(4(1(3(2(1(0(4(0(4(4(3(2(1(4(3(z0)))))))))))))))))), 2'(0(4(1(3(2(1(0(4(0(4(4(3(2(1(4(3(z0))))))))))))))))), 0'(4(1(3(2(1(0(4(0(4(4(3(2(1(4(3(z0)))))))))))))))), 4'(1(3(2(1(0(4(0(4(4(3(2(1(4(3(z0))))))))))))))), 1'(3(2(1(0(4(0(4(4(3(2(1(4(3(z0)))))))))))))), 3'(2(1(0(4(0(4(4(3(2(1(4(3(z0))))))))))))), 2'(1(0(4(0(4(4(3(2(1(4(3(z0)))))))))))), 1'(0(4(0(4(4(3(2(1(4(3(z0))))))))))), 0'(4(0(4(4(3(2(1(4(3(z0)))))))))), 4'(0(4(4(3(2(1(4(3(z0))))))))), 0'(4(4(3(2(1(4(3(z0)))))))), 4'(4(3(2(1(4(3(z0))))))), 4'(3(2(1(4(3(z0)))))), 3'(2(1(4(3(z0))))), 2'(1(4(3(z0)))), 1'(4(3(z0))), 4'(3(z0)), 3'(z0))
   0'(c_3(c_0(c_0(c_1(c_1(c_4(c_3(c_4(c_3(c_0(c_4(c_2(c_1(c_4(c_3(c_4(c_2(c_1(c_2(z0)))))))))))))))))))) -> c13(1'(4(0(1(2(2(2(3(4(4(2(4(2(2(1(3(1(4(2(4(z0)))))))))))))))))))), 4'(0(1(2(2(2(3(4(4(2(4(2(2(1(3(1(4(2(4(z0))))))))))))))))))), 0'(1(2(2(2(3(4(4(2(4(2(2(1(3(1(4(2(4(z0)))))))))))))))))), 1'(2(2(2(3(4(4(2(4(2(2(1(3(1(4(2(4(z0))))))))))))))))), 2'(2(2(3(4(4(2(4(2(2(1(3(1(4(2(4(z0)))))))))))))))), 2'(2(3(4(4(2(4(2(2(1(3(1(4(2(4(z0))))))))))))))), 2'(3(4(4(2(4(2(2(1(3(1(4(2(4(z0)))))))))))))), 3'(4(4(2(4(2(2(1(3(1(4(2(4(z0))))))))))))), 4'(4(2(4(2(2(1(3(1(4(2(4(z0)))))))))))), 4'(2(4(2(2(1(3(1(4(2(4(z0))))))))))), 2'(4(2(2(1(3(1(4(2(4(z0)))))))))), 4'(2(2(1(3(1(4(2(4(z0))))))))), 2'(2(1(3(1(4(2(4(z0)))))))), 2'(1(3(1(4(2(4(z0))))))), 1'(3(1(4(2(4(z0)))))), 3'(1(4(2(4(z0))))), 1'(4(2(4(z0)))), 4'(2(4(z0))), 2'(4(z0)), 4'(z0))
   0'(c_0(c_0(c_0(c_1(c_0(c_2(c_2(c_3(c_2(c_1(c_1(c_0(c_3(c_2(c_1(c_1(c_1(c_2(c_4(z0)))))))))))))))))))) -> c14(0'(3(2(3(3(2(1(4(2(2(2(1(0(0(2(0(1(2(2(4(z0)))))))))))))))))))), 3'(2(3(3(2(1(4(2(2(2(1(0(0(2(0(1(2(2(4(z0))))))))))))))))))), 2'(3(3(2(1(4(2(2(2(1(0(0(2(0(1(2(2(4(z0)))))))))))))))))), 3'(3(2(1(4(2(2(2(1(0(0(2(0(1(2(2(4(z0))))))))))))))))), 3'(2(1(4(2(2(2(1(0(0(2(0(1(2(2(4(z0)))))))))))))))), 2'(1(4(2(2(2(1(0(0(2(0(1(2(2(4(z0))))))))))))))), 1'(4(2(2(2(1(0(0(2(0(1(2(2(4(z0)))))))))))))), 4'(2(2(2(1(0(0(2(0(1(2(2(4(z0))))))))))))), 2'(2(2(1(0(0(2(0(1(2(2(4(z0)))))))))))), 2'(2(1(0(0(2(0(1(2(2(4(z0))))))))))), 2'(1(0(0(2(0(1(2(2(4(z0)))))))))), 1'(0(0(2(0(1(2(2(4(z0))))))))), 0'(0(2(0(1(2(2(4(z0)))))))), 0'(2(0(1(2(2(4(z0))))))), 2'(0(1(2(2(4(z0)))))), 0'(1(2(2(4(z0))))), 1'(2(2(4(z0)))), 2'(2(4(z0))), 2'(4(z0)), 4'(z0))
   0'(c_2(c_1(c_4(c_2(c_4(c_3(c_4(c_0(c_0(c_3(c_0(c_2(c_4(c_1(c_4(c_4(c_0(c_1(c_1(z0)))))))))))))))))))) -> c15(4'(4(3(3(1(4(0(3(2(3(3(1(4(0(1(2(1(4(1(0(z0)))))))))))))))))))), 4'(3(3(1(4(0(3(2(3(3(1(4(0(1(2(1(4(1(0(z0))))))))))))))))))), 3'(3(1(4(0(3(2(3(3(1(4(0(1(2(1(4(1(0(z0)))))))))))))))))), 3'(1(4(0(3(2(3(3(1(4(0(1(2(1(4(1(0(z0))))))))))))))))), 1'(4(0(3(2(3(3(1(4(0(1(2(1(4(1(0(z0)))))))))))))))), 4'(0(3(2(3(3(1(4(0(1(2(1(4(1(0(z0))))))))))))))), 0'(3(2(3(3(1(4(0(1(2(1(4(1(0(z0)))))))))))))), 3'(2(3(3(1(4(0(1(2(1(4(1(0(z0))))))))))))), 2'(3(3(1(4(0(1(2(1(4(1(0(z0)))))))))))), 3'(3(1(4(0(1(2(1(4(1(0(z0))))))))))), 3'(1(4(0(1(2(1(4(1(0(z0)))))))))), 1'(4(0(1(2(1(4(1(0(z0))))))))), 4'(0(1(2(1(4(1(0(z0)))))))), 0'(1(2(1(4(1(0(z0))))))), 1'(2(1(4(1(0(z0)))))), 2'(1(4(1(0(z0))))), 1'(4(1(0(z0)))), 4'(1(0(z0))), 1'(0(z0)), 0'(z0))
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   4'(c_0(c_2(c_1(c_3(c_3(c_4(c_4(c_0(c_0(c_0(c_3(c_2(c_3(c_4(c_4(c_4(c_3(c_2(c_3(z0)))))))))))))))))))) -> c106(4'(0(2(1(4(0(2(0(0(4(0(4(1(0(2(3(4(4(1(2(z0)))))))))))))))))))), 0'(2(1(4(0(2(0(0(4(0(4(1(0(2(3(4(4(1(2(z0))))))))))))))))))), 2'(1(4(0(2(0(0(4(0(4(1(0(2(3(4(4(1(2(z0)))))))))))))))))), 1'(4(0(2(0(0(4(0(4(1(0(2(3(4(4(1(2(z0))))))))))))))))), 4'(0(2(0(0(4(0(4(1(0(2(3(4(4(1(2(z0)))))))))))))))), 0'(2(0(0(4(0(4(1(0(2(3(4(4(1(2(z0))))))))))))))), 2'(0(0(4(0(4(1(0(2(3(4(4(1(2(z0)))))))))))))), 0'(0(4(0(4(1(0(2(3(4(4(1(2(z0))))))))))))), 0'(4(0(4(1(0(2(3(4(4(1(2(z0)))))))))))), 4'(0(4(1(0(2(3(4(4(1(2(z0))))))))))), 0'(4(1(0(2(3(4(4(1(2(z0)))))))))), 4'(1(0(2(3(4(4(1(2(z0))))))))), 1'(0(2(3(4(4(1(2(z0)))))))), 0'(2(3(4(4(1(2(z0))))))), 2'(3(4(4(1(2(z0)))))), 3'(4(4(1(2(z0))))), 4'(4(1(2(z0)))), 4'(1(2(z0))), 1'(2(z0)), 2'(z0))
   4'(c_1(c_1(c_0(c_3(c_0(c_1(c_3(c_0(c_4(c_4(c_2(c_1(c_2(c_4(c_2(c_0(c_0(c_3(c_0(z0)))))))))))))))))))) -> c107(2'(3(2(0(1(4(4(4(3(2(3(3(1(4(3(4(2(0(1(3(z0)))))))))))))))))))), 3'(2(0(1(4(4(4(3(2(3(3(1(4(3(4(2(0(1(3(z0))))))))))))))))))), 2'(0(1(4(4(4(3(2(3(3(1(4(3(4(2(0(1(3(z0)))))))))))))))))), 0'(1(4(4(4(3(2(3(3(1(4(3(4(2(0(1(3(z0))))))))))))))))), 1'(4(4(4(3(2(3(3(1(4(3(4(2(0(1(3(z0)))))))))))))))), 4'(4(4(3(2(3(3(1(4(3(4(2(0(1(3(z0))))))))))))))), 4'(4(3(2(3(3(1(4(3(4(2(0(1(3(z0)))))))))))))), 4'(3(2(3(3(1(4(3(4(2(0(1(3(z0))))))))))))), 3'(2(3(3(1(4(3(4(2(0(1(3(z0)))))))))))), 2'(3(3(1(4(3(4(2(0(1(3(z0))))))))))), 3'(3(1(4(3(4(2(0(1(3(z0)))))))))), 3'(1(4(3(4(2(0(1(3(z0))))))))), 1'(4(3(4(2(0(1(3(z0)))))))), 4'(3(4(2(0(1(3(z0))))))), 3'(4(2(0(1(3(z0)))))), 4'(2(0(1(3(z0))))), 2'(0(1(3(z0)))), 0'(1(3(z0))), 1'(3(z0)), 3'(z0))
   4'(c_3(c_3(c_2(c_2(c_1(c_3(c_4(c_4(c_2(c_4(c_2(c_3(c_0(c_0(c_2(c_2(c_3(c_2(c_4(z0)))))))))))))))))))) -> c108(3'(2(2(1(1(0(2(2(4(0(0(0(2(1(3(1(0(4(3(4(z0)))))))))))))))))))), 2'(2(1(1(0(2(2(4(0(0(0(2(1(3(1(0(4(3(4(z0))))))))))))))))))), 2'(1(1(0(2(2(4(0(0(0(2(1(3(1(0(4(3(4(z0)))))))))))))))))), 1'(1(0(2(2(4(0(0(0(2(1(3(1(0(4(3(4(z0))))))))))))))))), 1'(0(2(2(4(0(0(0(2(1(3(1(0(4(3(4(z0)))))))))))))))), 0'(2(2(4(0(0(0(2(1(3(1(0(4(3(4(z0))))))))))))))), 2'(2(4(0(0(0(2(1(3(1(0(4(3(4(z0)))))))))))))), 2'(4(0(0(0(2(1(3(1(0(4(3(4(z0))))))))))))), 4'(0(0(0(2(1(3(1(0(4(3(4(z0)))))))))))), 0'(0(0(2(1(3(1(0(4(3(4(z0))))))))))), 0'(0(2(1(3(1(0(4(3(4(z0)))))))))), 0'(2(1(3(1(0(4(3(4(z0))))))))), 2'(1(3(1(0(4(3(4(z0)))))))), 1'(3(1(0(4(3(4(z0))))))), 3'(1(0(4(3(4(z0)))))), 1'(0(4(3(4(z0))))), 0'(4(3(4(z0)))), 4'(3(4(z0))), 3'(4(z0)), 4'(z0))
   4'(c_1(c_0(c_2(c_0(c_3(c_2(c_1(c_1(c_3(c_1(c_1(c_0(c_1(c_1(c_2(c_0(c_0(c_4(c_4(z0)))))))))))))))))))) -> c109(2'(1(4(2(2(2(2(2(2(2(0(1(0(3(1(0(1(1(4(0(z0)))))))))))))))))))), 1'(4(2(2(2(2(2(2(2(0(1(0(3(1(0(1(1(4(0(z0))))))))))))))))))), 4'(2(2(2(2(2(2(2(0(1(0(3(1(0(1(1(4(0(z0)))))))))))))))))), 2'(2(2(2(2(2(2(0(1(0(3(1(0(1(1(4(0(z0))))))))))))))))), 2'(2(2(2(2(2(0(1(0(3(1(0(1(1(4(0(z0)))))))))))))))), 2'(2(2(2(2(0(1(0(3(1(0(1(1(4(0(z0))))))))))))))), 2'(2(2(2(0(1(0(3(1(0(1(1(4(0(z0)))))))))))))), 2'(2(2(0(1(0(3(1(0(1(1(4(0(z0))))))))))))), 2'(2(0(1(0(3(1(0(1(1(4(0(z0)))))))))))), 2'(0(1(0(3(1(0(1(1(4(0(z0))))))))))), 0'(1(0(3(1(0(1(1(4(0(z0)))))))))), 1'(0(3(1(0(1(1(4(0(z0))))))))), 0'(3(1(0(1(1(4(0(z0)))))))), 3'(1(0(1(1(4(0(z0))))))), 1'(0(1(1(4(0(z0)))))), 0'(1(1(4(0(z0))))), 1'(1(4(0(z0)))), 1'(4(0(z0))), 4'(0(z0)), 0'(z0))
   4'(c_1(c_1(c_1(c_2(c_2(c_3(c_3(c_3(c_4(c_4(c_0(c_2(c_0(c_2(c_1(c_0(c_1(c_0(c_0(z0)))))))))))))))))))) -> c110(1'(1(0(3(4(0(2(3(1(4(2(4(1(0(4(0(3(1(1(4(z0)))))))))))))))))))), 1'(0(3(4(0(2(3(1(4(2(4(1(0(4(0(3(1(1(4(z0))))))))))))))))))), 0'(3(4(0(2(3(1(4(2(4(1(0(4(0(3(1(1(4(z0)))))))))))))))))), 3'(4(0(2(3(1(4(2(4(1(0(4(0(3(1(1(4(z0))))))))))))))))), 4'(0(2(3(1(4(2(4(1(0(4(0(3(1(1(4(z0)))))))))))))))), 0'(2(3(1(4(2(4(1(0(4(0(3(1(1(4(z0))))))))))))))), 2'(3(1(4(2(4(1(0(4(0(3(1(1(4(z0)))))))))))))), 3'(1(4(2(4(1(0(4(0(3(1(1(4(z0))))))))))))), 1'(4(2(4(1(0(4(0(3(1(1(4(z0)))))))))))), 4'(2(4(1(0(4(0(3(1(1(4(z0))))))))))), 2'(4(1(0(4(0(3(1(1(4(z0)))))))))), 4'(1(0(4(0(3(1(1(4(z0))))))))), 1'(0(4(0(3(1(1(4(z0)))))))), 0'(4(0(3(1(1(4(z0))))))), 4'(0(3(1(1(4(z0)))))), 0'(3(1(1(4(z0))))), 3'(1(1(4(z0)))), 1'(1(4(z0))), 1'(4(z0)), 4'(z0))
   4'(c_4(c_1(c_1(c_2(c_0(c_1(c_0(c_2(c_2(c_1(c_0(c_0(c_1(c_0(c_0(c_1(c_1(c_3(c_2(z0)))))))))))))))))))) -> c111(3'(1(4(1(4(4(3(1(2(3(3(2(1(3(3(1(1(3(2(4(z0)))))))))))))))))))), 1'(4(1(4(4(3(1(2(3(3(2(1(3(3(1(1(3(2(4(z0))))))))))))))))))), 4'(1(4(4(3(1(2(3(3(2(1(3(3(1(1(3(2(4(z0)))))))))))))))))), 1'(4(4(3(1(2(3(3(2(1(3(3(1(1(3(2(4(z0))))))))))))))))), 4'(4(3(1(2(3(3(2(1(3(3(1(1(3(2(4(z0)))))))))))))))), 4'(3(1(2(3(3(2(1(3(3(1(1(3(2(4(z0))))))))))))))), 3'(1(2(3(3(2(1(3(3(1(1(3(2(4(z0)))))))))))))), 1'(2(3(3(2(1(3(3(1(1(3(2(4(z0))))))))))))), 2'(3(3(2(1(3(3(1(1(3(2(4(z0)))))))))))), 3'(3(2(1(3(3(1(1(3(2(4(z0))))))))))), 3'(2(1(3(3(1(1(3(2(4(z0)))))))))), 2'(1(3(3(1(1(3(2(4(z0))))))))), 1'(3(3(1(1(3(2(4(z0)))))))), 3'(3(1(1(3(2(4(z0))))))), 3'(1(1(3(2(4(z0)))))), 1'(1(3(2(4(z0))))), 1'(3(2(4(z0)))), 3'(2(4(z0))), 2'(4(z0)), 4'(z0))
   4'(c_4(c_3(c_4(c_4(c_2(c_4(c_1(c_1(c_0(c_2(c_3(c_1(c_0(c_3(c_1(c_2(c_2(c_4(c_0(z0)))))))))))))))))))) -> c112(1'(2(1(1(1(2(4(1(4(3(1(4(1(4(3(2(0(4(2(2(z0)))))))))))))))))))), 2'(1(1(1(2(4(1(4(3(1(4(1(4(3(2(0(4(2(2(z0))))))))))))))))))), 1'(1(1(2(4(1(4(3(1(4(1(4(3(2(0(4(2(2(z0)))))))))))))))))), 1'(1(2(4(1(4(3(1(4(1(4(3(2(0(4(2(2(z0))))))))))))))))), 1'(2(4(1(4(3(1(4(1(4(3(2(0(4(2(2(z0)))))))))))))))), 2'(4(1(4(3(1(4(1(4(3(2(0(4(2(2(z0))))))))))))))), 4'(1(4(3(1(4(1(4(3(2(0(4(2(2(z0)))))))))))))), 1'(4(3(1(4(1(4(3(2(0(4(2(2(z0))))))))))))), 4'(3(1(4(1(4(3(2(0(4(2(2(z0)))))))))))), 3'(1(4(1(4(3(2(0(4(2(2(z0))))))))))), 1'(4(1(4(3(2(0(4(2(2(z0)))))))))), 4'(1(4(3(2(0(4(2(2(z0))))))))), 1'(4(3(2(0(4(2(2(z0)))))))), 4'(3(2(0(4(2(2(z0))))))), 3'(2(0(4(2(2(z0)))))), 2'(0(4(2(2(z0))))), 0'(4(2(2(z0)))), 4'(2(2(z0))), 2'(2(z0)), 2'(z0))
   4'(c_0(c_4(c_3(c_0(c_0(c_2(c_1(c_2(c_2(c_0(c_3(c_0(c_3(c_1(c_1(c_1(c_3(c_3(c_3(z0)))))))))))))))))))) -> c113(4'(1(2(1(1(2(2(1(1(2(0(1(0(2(4(4(1(1(1(0(z0)))))))))))))))))))), 1'(2(1(1(2(2(1(1(2(0(1(0(2(4(4(1(1(1(0(z0))))))))))))))))))), 2'(1(1(2(2(1(1(2(0(1(0(2(4(4(1(1(1(0(z0)))))))))))))))))), 1'(1(2(2(1(1(2(0(1(0(2(4(4(1(1(1(0(z0))))))))))))))))), 1'(2(2(1(1(2(0(1(0(2(4(4(1(1(1(0(z0)))))))))))))))), 2'(2(1(1(2(0(1(0(2(4(4(1(1(1(0(z0))))))))))))))), 2'(1(1(2(0(1(0(2(4(4(1(1(1(0(z0)))))))))))))), 1'(1(2(0(1(0(2(4(4(1(1(1(0(z0))))))))))))), 1'(2(0(1(0(2(4(4(1(1(1(0(z0)))))))))))), 2'(0(1(0(2(4(4(1(1(1(0(z0))))))))))), 0'(1(0(2(4(4(1(1(1(0(z0)))))))))), 1'(0(2(4(4(1(1(1(0(z0))))))))), 0'(2(4(4(1(1(1(0(z0)))))))), 2'(4(4(1(1(1(0(z0))))))), 4'(4(1(1(1(0(z0)))))), 4'(1(1(1(0(z0))))), 1'(1(1(0(z0)))), 1'(1(0(z0))), 1'(0(z0)), 0'(z0))
   ENCODE_0(z0) -> c10(0'(encArg(z0)))
   ENCODE_1(z0) -> c10(1'(encArg(z0)))
   ENCODE_2(z0) -> c10(2'(encArg(z0)))
   ENCODE_3(z0) -> c10(3'(encArg(z0)))
   ENCODE_4(z0) -> c10(4'(encArg(z0)))
S tuples:
   0'(c_4(c_4(c_4(c_0(c_2(c_2(c_1(c_3(c_2(c_1(c_0(c_4(c_1(c_3(c_0(c_1(c_3(c_4(c_4(z0)))))))))))))))))))) -> c11(3'(2(3(0(1(2(2(3(1(4(0(4(1(1(1(4(2(2(1(1(z0)))))))))))))))))))), 2'(3(0(1(2(2(3(1(4(0(4(1(1(1(4(2(2(1(1(z0))))))))))))))))))), 3'(0(1(2(2(3(1(4(0(4(1(1(1(4(2(2(1(1(z0)))))))))))))))))), 0'(1(2(2(3(1(4(0(4(1(1(1(4(2(2(1(1(z0))))))))))))))))), 1'(2(2(3(1(4(0(4(1(1(1(4(2(2(1(1(z0)))))))))))))))), 2'(2(3(1(4(0(4(1(1(1(4(2(2(1(1(z0))))))))))))))), 2'(3(1(4(0(4(1(1(1(4(2(2(1(1(z0)))))))))))))), 3'(1(4(0(4(1(1(1(4(2(2(1(1(z0))))))))))))), 1'(4(0(4(1(1(1(4(2(2(1(1(z0)))))))))))), 4'(0(4(1(1(1(4(2(2(1(1(z0))))))))))), 0'(4(1(1(1(4(2(2(1(1(z0)))))))))), 4'(1(1(1(4(2(2(1(1(z0))))))))), 1'(1(1(4(2(2(1(1(z0)))))))), 1'(1(4(2(2(1(1(z0))))))), 1'(4(2(2(1(1(z0)))))), 4'(2(2(1(1(z0))))), 2'(2(1(1(z0)))), 2'(1(1(z0))), 1'(1(z0)), 1'(z0))
   0'(c_1(c_4(c_2(c_3(c_1(c_1(c_2(c_3(c_2(c_3(c_1(c_0(c_1(c_0(c_2(c_0(c_2(c_3(c_2(z0)))))))))))))))))))) -> c12(3'(1(3(2(0(4(1(3(2(1(0(4(0(4(4(3(2(1(4(3(z0)))))))))))))))))))), 1'(3(2(0(4(1(3(2(1(0(4(0(4(4(3(2(1(4(3(z0))))))))))))))))))), 3'(2(0(4(1(3(2(1(0(4(0(4(4(3(2(1(4(3(z0)))))))))))))))))), 2'(0(4(1(3(2(1(0(4(0(4(4(3(2(1(4(3(z0))))))))))))))))), 0'(4(1(3(2(1(0(4(0(4(4(3(2(1(4(3(z0)))))))))))))))), 4'(1(3(2(1(0(4(0(4(4(3(2(1(4(3(z0))))))))))))))), 1'(3(2(1(0(4(0(4(4(3(2(1(4(3(z0)))))))))))))), 3'(2(1(0(4(0(4(4(3(2(1(4(3(z0))))))))))))), 2'(1(0(4(0(4(4(3(2(1(4(3(z0)))))))))))), 1'(0(4(0(4(4(3(2(1(4(3(z0))))))))))), 0'(4(0(4(4(3(2(1(4(3(z0)))))))))), 4'(0(4(4(3(2(1(4(3(z0))))))))), 0'(4(4(3(2(1(4(3(z0)))))))), 4'(4(3(2(1(4(3(z0))))))), 4'(3(2(1(4(3(z0)))))), 3'(2(1(4(3(z0))))), 2'(1(4(3(z0)))), 1'(4(3(z0))), 4'(3(z0)), 3'(z0))
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   4'(c_3(c_2(c_3(c_2(c_2(c_1(c_2(c_0(c_3(c_0(c_0(c_0(c_1(c_1(c_3(c_2(c_4(c_3(c_4(z0)))))))))))))))))))) -> c105(1'(3(1(4(0(2(1(0(0(1(3(4(0(3(3(4(2(1(2(1(z0)))))))))))))))))))), 3'(1(4(0(2(1(0(0(1(3(4(0(3(3(4(2(1(2(1(z0))))))))))))))))))), 1'(4(0(2(1(0(0(1(3(4(0(3(3(4(2(1(2(1(z0)))))))))))))))))), 4'(0(2(1(0(0(1(3(4(0(3(3(4(2(1(2(1(z0))))))))))))))))), 0'(2(1(0(0(1(3(4(0(3(3(4(2(1(2(1(z0)))))))))))))))), 2'(1(0(0(1(3(4(0(3(3(4(2(1(2(1(z0))))))))))))))), 1'(0(0(1(3(4(0(3(3(4(2(1(2(1(z0)))))))))))))), 0'(0(1(3(4(0(3(3(4(2(1(2(1(z0))))))))))))), 0'(1(3(4(0(3(3(4(2(1(2(1(z0)))))))))))), 1'(3(4(0(3(3(4(2(1(2(1(z0))))))))))), 3'(4(0(3(3(4(2(1(2(1(z0)))))))))), 4'(0(3(3(4(2(1(2(1(z0))))))))), 0'(3(3(4(2(1(2(1(z0)))))))), 3'(3(4(2(1(2(1(z0))))))), 3'(4(2(1(2(1(z0)))))), 4'(2(1(2(1(z0))))), 2'(1(2(1(z0)))), 1'(2(1(z0))), 2'(1(z0)), 1'(z0))
   4'(c_0(c_2(c_1(c_3(c_3(c_4(c_4(c_0(c_0(c_0(c_3(c_2(c_3(c_4(c_4(c_4(c_3(c_2(c_3(z0)))))))))))))))))))) -> c106(4'(0(2(1(4(0(2(0(0(4(0(4(1(0(2(3(4(4(1(2(z0)))))))))))))))))))), 0'(2(1(4(0(2(0(0(4(0(4(1(0(2(3(4(4(1(2(z0))))))))))))))))))), 2'(1(4(0(2(0(0(4(0(4(1(0(2(3(4(4(1(2(z0)))))))))))))))))), 1'(4(0(2(0(0(4(0(4(1(0(2(3(4(4(1(2(z0))))))))))))))))), 4'(0(2(0(0(4(0(4(1(0(2(3(4(4(1(2(z0)))))))))))))))), 0'(2(0(0(4(0(4(1(0(2(3(4(4(1(2(z0))))))))))))))), 2'(0(0(4(0(4(1(0(2(3(4(4(1(2(z0)))))))))))))), 0'(0(4(0(4(1(0(2(3(4(4(1(2(z0))))))))))))), 0'(4(0(4(1(0(2(3(4(4(1(2(z0)))))))))))), 4'(0(4(1(0(2(3(4(4(1(2(z0))))))))))), 0'(4(1(0(2(3(4(4(1(2(z0)))))))))), 4'(1(0(2(3(4(4(1(2(z0))))))))), 1'(0(2(3(4(4(1(2(z0)))))))), 0'(2(3(4(4(1(2(z0))))))), 2'(3(4(4(1(2(z0)))))), 3'(4(4(1(2(z0))))), 4'(4(1(2(z0)))), 4'(1(2(z0))), 1'(2(z0)), 2'(z0))
   4'(c_1(c_1(c_0(c_3(c_0(c_1(c_3(c_0(c_4(c_4(c_2(c_1(c_2(c_4(c_2(c_0(c_0(c_3(c_0(z0)))))))))))))))))))) -> c107(2'(3(2(0(1(4(4(4(3(2(3(3(1(4(3(4(2(0(1(3(z0)))))))))))))))))))), 3'(2(0(1(4(4(4(3(2(3(3(1(4(3(4(2(0(1(3(z0))))))))))))))))))), 2'(0(1(4(4(4(3(2(3(3(1(4(3(4(2(0(1(3(z0)))))))))))))))))), 0'(1(4(4(4(3(2(3(3(1(4(3(4(2(0(1(3(z0))))))))))))))))), 1'(4(4(4(3(2(3(3(1(4(3(4(2(0(1(3(z0)))))))))))))))), 4'(4(4(3(2(3(3(1(4(3(4(2(0(1(3(z0))))))))))))))), 4'(4(3(2(3(3(1(4(3(4(2(0(1(3(z0)))))))))))))), 4'(3(2(3(3(1(4(3(4(2(0(1(3(z0))))))))))))), 3'(2(3(3(1(4(3(4(2(0(1(3(z0)))))))))))), 2'(3(3(1(4(3(4(2(0(1(3(z0))))))))))), 3'(3(1(4(3(4(2(0(1(3(z0)))))))))), 3'(1(4(3(4(2(0(1(3(z0))))))))), 1'(4(3(4(2(0(1(3(z0)))))))), 4'(3(4(2(0(1(3(z0))))))), 3'(4(2(0(1(3(z0)))))), 4'(2(0(1(3(z0))))), 2'(0(1(3(z0)))), 0'(1(3(z0))), 1'(3(z0)), 3'(z0))
   4'(c_3(c_3(c_2(c_2(c_1(c_3(c_4(c_4(c_2(c_4(c_2(c_3(c_0(c_0(c_2(c_2(c_3(c_2(c_4(z0)))))))))))))))))))) -> c108(3'(2(2(1(1(0(2(2(4(0(0(0(2(1(3(1(0(4(3(4(z0)))))))))))))))))))), 2'(2(1(1(0(2(2(4(0(0(0(2(1(3(1(0(4(3(4(z0))))))))))))))))))), 2'(1(1(0(2(2(4(0(0(0(2(1(3(1(0(4(3(4(z0)))))))))))))))))), 1'(1(0(2(2(4(0(0(0(2(1(3(1(0(4(3(4(z0))))))))))))))))), 1'(0(2(2(4(0(0(0(2(1(3(1(0(4(3(4(z0)))))))))))))))), 0'(2(2(4(0(0(0(2(1(3(1(0(4(3(4(z0))))))))))))))), 2'(2(4(0(0(0(2(1(3(1(0(4(3(4(z0)))))))))))))), 2'(4(0(0(0(2(1(3(1(0(4(3(4(z0))))))))))))), 4'(0(0(0(2(1(3(1(0(4(3(4(z0)))))))))))), 0'(0(0(2(1(3(1(0(4(3(4(z0))))))))))), 0'(0(2(1(3(1(0(4(3(4(z0)))))))))), 0'(2(1(3(1(0(4(3(4(z0))))))))), 2'(1(3(1(0(4(3(4(z0)))))))), 1'(3(1(0(4(3(4(z0))))))), 3'(1(0(4(3(4(z0)))))), 1'(0(4(3(4(z0))))), 0'(4(3(4(z0)))), 4'(3(4(z0))), 3'(4(z0)), 4'(z0))
   4'(c_1(c_0(c_2(c_0(c_3(c_2(c_1(c_1(c_3(c_1(c_1(c_0(c_1(c_1(c_2(c_0(c_0(c_4(c_4(z0)))))))))))))))))))) -> c109(2'(1(4(2(2(2(2(2(2(2(0(1(0(3(1(0(1(1(4(0(z0)))))))))))))))))))), 1'(4(2(2(2(2(2(2(2(0(1(0(3(1(0(1(1(4(0(z0))))))))))))))))))), 4'(2(2(2(2(2(2(2(0(1(0(3(1(0(1(1(4(0(z0)))))))))))))))))), 2'(2(2(2(2(2(2(0(1(0(3(1(0(1(1(4(0(z0))))))))))))))))), 2'(2(2(2(2(2(0(1(0(3(1(0(1(1(4(0(z0)))))))))))))))), 2'(2(2(2(2(0(1(0(3(1(0(1(1(4(0(z0))))))))))))))), 2'(2(2(2(0(1(0(3(1(0(1(1(4(0(z0)))))))))))))), 2'(2(2(0(1(0(3(1(0(1(1(4(0(z0))))))))))))), 2'(2(0(1(0(3(1(0(1(1(4(0(z0)))))))))))), 2'(0(1(0(3(1(0(1(1(4(0(z0))))))))))), 0'(1(0(3(1(0(1(1(4(0(z0)))))))))), 1'(0(3(1(0(1(1(4(0(z0))))))))), 0'(3(1(0(1(1(4(0(z0)))))))), 3'(1(0(1(1(4(0(z0))))))), 1'(0(1(1(4(0(z0)))))), 0'(1(1(4(0(z0))))), 1'(1(4(0(z0)))), 1'(4(0(z0))), 4'(0(z0)), 0'(z0))
   4'(c_1(c_1(c_1(c_2(c_2(c_3(c_3(c_3(c_4(c_4(c_0(c_2(c_0(c_2(c_1(c_0(c_1(c_0(c_0(z0)))))))))))))))))))) -> c110(1'(1(0(3(4(0(2(3(1(4(2(4(1(0(4(0(3(1(1(4(z0)))))))))))))))))))), 1'(0(3(4(0(2(3(1(4(2(4(1(0(4(0(3(1(1(4(z0))))))))))))))))))), 0'(3(4(0(2(3(1(4(2(4(1(0(4(0(3(1(1(4(z0)))))))))))))))))), 3'(4(0(2(3(1(4(2(4(1(0(4(0(3(1(1(4(z0))))))))))))))))), 4'(0(2(3(1(4(2(4(1(0(4(0(3(1(1(4(z0)))))))))))))))), 0'(2(3(1(4(2(4(1(0(4(0(3(1(1(4(z0))))))))))))))), 2'(3(1(4(2(4(1(0(4(0(3(1(1(4(z0)))))))))))))), 3'(1(4(2(4(1(0(4(0(3(1(1(4(z0))))))))))))), 1'(4(2(4(1(0(4(0(3(1(1(4(z0)))))))))))), 4'(2(4(1(0(4(0(3(1(1(4(z0))))))))))), 2'(4(1(0(4(0(3(1(1(4(z0)))))))))), 4'(1(0(4(0(3(1(1(4(z0))))))))), 1'(0(4(0(3(1(1(4(z0)))))))), 0'(4(0(3(1(1(4(z0))))))), 4'(0(3(1(1(4(z0)))))), 0'(3(1(1(4(z0))))), 3'(1(1(4(z0)))), 1'(1(4(z0))), 1'(4(z0)), 4'(z0))
   4'(c_4(c_1(c_1(c_2(c_0(c_1(c_0(c_2(c_2(c_1(c_0(c_0(c_1(c_0(c_0(c_1(c_1(c_3(c_2(z0)))))))))))))))))))) -> c111(3'(1(4(1(4(4(3(1(2(3(3(2(1(3(3(1(1(3(2(4(z0)))))))))))))))))))), 1'(4(1(4(4(3(1(2(3(3(2(1(3(3(1(1(3(2(4(z0))))))))))))))))))), 4'(1(4(4(3(1(2(3(3(2(1(3(3(1(1(3(2(4(z0)))))))))))))))))), 1'(4(4(3(1(2(3(3(2(1(3(3(1(1(3(2(4(z0))))))))))))))))), 4'(4(3(1(2(3(3(2(1(3(3(1(1(3(2(4(z0)))))))))))))))), 4'(3(1(2(3(3(2(1(3(3(1(1(3(2(4(z0))))))))))))))), 3'(1(2(3(3(2(1(3(3(1(1(3(2(4(z0)))))))))))))), 1'(2(3(3(2(1(3(3(1(1(3(2(4(z0))))))))))))), 2'(3(3(2(1(3(3(1(1(3(2(4(z0)))))))))))), 3'(3(2(1(3(3(1(1(3(2(4(z0))))))))))), 3'(2(1(3(3(1(1(3(2(4(z0)))))))))), 2'(1(3(3(1(1(3(2(4(z0))))))))), 1'(3(3(1(1(3(2(4(z0)))))))), 3'(3(1(1(3(2(4(z0))))))), 3'(1(1(3(2(4(z0)))))), 1'(1(3(2(4(z0))))), 1'(3(2(4(z0)))), 3'(2(4(z0))), 2'(4(z0)), 4'(z0))
   4'(c_4(c_3(c_4(c_4(c_2(c_4(c_1(c_1(c_0(c_2(c_3(c_1(c_0(c_3(c_1(c_2(c_2(c_4(c_0(z0)))))))))))))))))))) -> c112(1'(2(1(1(1(2(4(1(4(3(1(4(1(4(3(2(0(4(2(2(z0)))))))))))))))))))), 2'(1(1(1(2(4(1(4(3(1(4(1(4(3(2(0(4(2(2(z0))))))))))))))))))), 1'(1(1(2(4(1(4(3(1(4(1(4(3(2(0(4(2(2(z0)))))))))))))))))), 1'(1(2(4(1(4(3(1(4(1(4(3(2(0(4(2(2(z0))))))))))))))))), 1'(2(4(1(4(3(1(4(1(4(3(2(0(4(2(2(z0)))))))))))))))), 2'(4(1(4(3(1(4(1(4(3(2(0(4(2(2(z0))))))))))))))), 4'(1(4(3(1(4(1(4(3(2(0(4(2(2(z0)))))))))))))), 1'(4(3(1(4(1(4(3(2(0(4(2(2(z0))))))))))))), 4'(3(1(4(1(4(3(2(0(4(2(2(z0)))))))))))), 3'(1(4(1(4(3(2(0(4(2(2(z0))))))))))), 1'(4(1(4(3(2(0(4(2(2(z0)))))))))), 4'(1(4(3(2(0(4(2(2(z0))))))))), 1'(4(3(2(0(4(2(2(z0)))))))), 4'(3(2(0(4(2(2(z0))))))), 3'(2(0(4(2(2(z0)))))), 2'(0(4(2(2(z0))))), 0'(4(2(2(z0)))), 4'(2(2(z0))), 2'(2(z0)), 2'(z0))
   4'(c_0(c_4(c_3(c_0(c_0(c_2(c_1(c_2(c_2(c_0(c_3(c_0(c_3(c_1(c_1(c_1(c_3(c_3(c_3(z0)))))))))))))))))))) -> c113(4'(1(2(1(1(2(2(1(1(2(0(1(0(2(4(4(1(1(1(0(z0)))))))))))))))))))), 1'(2(1(1(2(2(1(1(2(0(1(0(2(4(4(1(1(1(0(z0))))))))))))))))))), 2'(1(1(2(2(1(1(2(0(1(0(2(4(4(1(1(1(0(z0)))))))))))))))))), 1'(1(2(2(1(1(2(0(1(0(2(4(4(1(1(1(0(z0))))))))))))))))), 1'(2(2(1(1(2(0(1(0(2(4(4(1(1(1(0(z0)))))))))))))))), 2'(2(1(1(2(0(1(0(2(4(4(1(1(1(0(z0))))))))))))))), 2'(1(1(2(0(1(0(2(4(4(1(1(1(0(z0)))))))))))))), 1'(1(2(0(1(0(2(4(4(1(1(1(0(z0))))))))))))), 1'(2(0(1(0(2(4(4(1(1(1(0(z0)))))))))))), 2'(0(1(0(2(4(4(1(1(1(0(z0))))))))))), 0'(1(0(2(4(4(1(1(1(0(z0)))))))))), 1'(0(2(4(4(1(1(1(0(z0))))))))), 0'(2(4(4(1(1(1(0(z0)))))))), 2'(4(4(1(1(1(0(z0))))))), 4'(4(1(1(1(0(z0)))))), 4'(1(1(1(0(z0))))), 1'(1(1(0(z0)))), 1'(1(0(z0))), 1'(0(z0)), 0'(z0))
K tuples:none
Defined Rule Symbols:   1_1, 3_1, 0_1, 4_1, 2_1, encArg_1, encode_0_1, encode_1_1, encode_2_1, encode_3_1, encode_4_1

Defined Pair Symbols:   ENCARG_1, 0'_1, 1'_1, 2'_1, 3'_1, 4'_1, ENCODE_0_1, ENCODE_1_1, ENCODE_2_1, ENCODE_3_1, ENCODE_4_1

Compound Symbols:   c_2, c1_2, c2_2, c3_2, c4_2, c11_20, c12_20, c13_20, c14_20, c15_20, c16_20, c17_20, c18_20, c19_20, c20_20, c21_20, c22_20, c23_20, c24_20, c25_20, c26_20, c27_20, c28_20, c29_20, c30_20, c32_20, c33_20, c34_20, c35_20, c36_20, c37_20, c38_20, c39_20, c40_20, c41_20, c42_20, c44_20, c45_20, c46_20, c47_20, c48_20, c49_20, c50_20, c51_20, c52_20, c53_20, c54_20, c55_20, c56_20, c57_20, c58_20, c59_20, c60_20, c61_20, c62_20, c63_20, c65_20, c66_20, c67_20, c68_20, c69_20, c70_20, c71_20, c72_20, c73_20, c74_20, c75_20, c76_20, c77_20, c78_20, c79_20, c80_20, c81_20, c82_20, c83_20, c84_20, c85_20, c86_20, c87_20, c88_20, c90_20, c91_20, c92_20, c93_20, c94_20, c95_20, c96_20, c97_20, c98_20, c99_20, c100_20, c101_20, c102_20, c103_20, c104_20, c105_20, c106_20, c107_20, c108_20, c109_20, c110_20, c111_20, c112_20, c113_20, c10_1


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

(45) CdtUsableRulesProof (BOTH BOUNDS(ID, ID))
The following rules are not usable and were removed:
   encode_0(z0) -> 0(encArg(z0))
   encode_1(z0) -> 1(encArg(z0))
   encode_2(z0) -> 2(encArg(z0))
   encode_3(z0) -> 3(encArg(z0))
   encode_4(z0) -> 4(encArg(z0))

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

(46)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(cons_0(z0)) -> 0(encArg(z0))
   encArg(cons_1(z0)) -> 1(encArg(z0))
   encArg(cons_2(z0)) -> 2(encArg(z0))
   encArg(cons_3(z0)) -> 3(encArg(z0))
   encArg(cons_4(z0)) -> 4(encArg(z0))
   0(z0) -> c_0(z0)
   0(c_4(c_4(c_4(c_0(c_2(c_2(c_1(c_3(c_2(c_1(c_0(c_4(c_1(c_3(c_0(c_1(c_3(c_4(c_4(z0)))))))))))))))))))) -> 3(2(3(0(1(2(2(3(1(4(0(4(1(1(1(4(2(2(1(1(z0))))))))))))))))))))
   0(c_1(c_4(c_2(c_3(c_1(c_1(c_2(c_3(c_2(c_3(c_1(c_0(c_1(c_0(c_2(c_0(c_2(c_3(c_2(z0)))))))))))))))))))) -> 3(1(3(2(0(4(1(3(2(1(0(4(0(4(4(3(2(1(4(3(z0))))))))))))))))))))
   0(c_3(c_0(c_0(c_1(c_1(c_4(c_3(c_4(c_3(c_0(c_4(c_2(c_1(c_4(c_3(c_4(c_2(c_1(c_2(z0)))))))))))))))))))) -> 1(4(0(1(2(2(2(3(4(4(2(4(2(2(1(3(1(4(2(4(z0))))))))))))))))))))
   0(c_0(c_0(c_0(c_1(c_0(c_2(c_2(c_3(c_2(c_1(c_1(c_0(c_3(c_2(c_1(c_1(c_1(c_2(c_4(z0)))))))))))))))))))) -> 0(3(2(3(3(2(1(4(2(2(2(1(0(0(2(0(1(2(2(4(z0))))))))))))))))))))
   0(c_2(c_1(c_4(c_2(c_4(c_3(c_4(c_0(c_0(c_3(c_0(c_2(c_4(c_1(c_4(c_4(c_0(c_1(c_1(z0)))))))))))))))))))) -> 4(4(3(3(1(4(0(3(2(3(3(1(4(0(1(2(1(4(1(0(z0))))))))))))))))))))
   0(c_0(c_4(c_0(c_2(c_1(c_4(c_1(c_4(c_0(c_1(c_2(c_0(c_0(c_4(c_1(c_0(c_3(c_2(c_1(z0)))))))))))))))))))) -> 2(3(3(3(1(3(2(4(2(1(1(3(0(2(1(2(3(4(2(1(z0))))))))))))))))))))
   0(c_1(c_4(c_3(c_4(c_0(c_1(c_0(c_2(c_3(c_4(c_0(c_3(c_4(c_2(c_0(c_1(c_4(c_0(c_3(z0)))))))))))))))))))) -> 0(3(3(4(2(1(0(1(3(3(0(3(2(4(1(3(2(3(1(4(z0))))))))))))))))))))
   0(c_0(c_2(c_2(c_2(c_1(c_2(c_3(c_0(c_2(c_0(c_4(c_4(c_0(c_3(c_3(c_3(c_0(c_0(c_3(z0)))))))))))))))))))) -> 0(0(0(3(3(1(1(1(4(4(1(4(3(3(0(3(3(2(4(3(z0))))))))))))))))))))
   0(c_4(c_4(c_1(c_1(c_0(c_1(c_4(c_1(c_1(c_1(c_4(c_0(c_1(c_0(c_0(c_4(c_1(c_4(c_3(z0)))))))))))))))))))) -> 2(2(1(0(2(2(3(4(2(1(2(0(3(0(3(3(1(1(4(2(z0))))))))))))))))))))
   0(c_2(c_0(c_1(c_2(c_0(c_3(c_1(c_2(c_1(c_3(c_3(c_1(c_3(c_2(c_0(c_0(c_4(c_2(c_1(z0)))))))))))))))))))) -> 1(2(2(0(4(4(0(3(1(4(1(3(4(3(3(4(4(4(2(1(z0))))))))))))))))))))
   0(c_3(c_2(c_0(c_1(c_4(c_3(c_0(c_2(c_4(c_0(c_2(c_0(c_0(c_1(c_4(c_4(c_2(c_4(c_4(z0)))))))))))))))))))) -> 4(0(0(0(4(4(2(1(3(1(0(1(2(2(2(4(4(4(2(3(z0))))))))))))))))))))
   0(c_2(c_1(c_4(c_4(c_4(c_3(c_4(c_2(c_1(c_1(c_0(c_0(c_1(c_4(c_4(c_2(c_0(c_3(c_4(z0)))))))))))))))))))) -> 1(0(1(4(2(1(0(2(4(4(4(0(1(1(3(1(3(4(3(1(z0))))))))))))))))))))
   0(c_4(c_1(c_1(c_1(c_2(c_1(c_4(c_3(c_2(c_4(c_4(c_2(c_2(c_4(c_2(c_0(c_4(c_1(c_1(z0)))))))))))))))))))) -> 2(1(1(4(2(2(3(1(3(1(2(2(2(4(1(3(3(4(3(0(z0))))))))))))))))))))
   0(c_4(c_4(c_3(c_2(c_0(c_4(c_1(c_0(c_4(c_3(c_1(c_1(c_0(c_2(c_1(c_1(c_3(c_2(c_1(z0)))))))))))))))))))) -> 2(1(2(2(1(2(3(2(1(2(4(2(4(2(3(2(3(4(4(1(z0))))))))))))))))))))
   0(c_2(c_4(c_3(c_1(c_4(c_0(c_3(c_3(c_4(c_4(c_2(c_2(c_4(c_4(c_0(c_4(c_1(c_0(c_0(z0)))))))))))))))))))) -> 4(2(1(0(1(3(3(4(0(0(2(3(3(4(3(1(4(1(0(4(z0))))))))))))))))))))
   0(c_1(c_4(c_0(c_3(c_1(c_3(c_3(c_0(c_3(c_1(c_4(c_4(c_1(c_1(c_1(c_4(c_0(c_4(c_0(z0)))))))))))))))))))) -> 3(2(0(3(2(4(3(4(4(2(1(0(1(4(1(3(1(4(4(4(z0))))))))))))))))))))
   0(c_2(c_3(c_4(c_2(c_2(c_4(c_4(c_1(c_0(c_3(c_2(c_2(c_4(c_2(c_2(c_3(c_1(c_1(c_4(z0)))))))))))))))))))) -> 1(3(1(4(0(3(1(1(4(3(3(2(2(1(2(0(2(0(3(4(z0))))))))))))))))))))
   0(c_1(c_4(c_1(c_3(c_1(c_0(c_2(c_4(c_1(c_3(c_0(c_4(c_3(c_1(c_3(c_1(c_1(c_1(c_0(z0)))))))))))))))))))) -> 3(2(1(1(4(1(2(1(4(0(2(1(1(4(4(0(1(2(2(1(z0))))))))))))))))))))
   0(c_1(c_3(c_0(c_2(c_4(c_3(c_0(c_3(c_1(c_0(c_2(c_4(c_2(c_2(c_0(c_3(c_4(c_1(c_1(z0)))))))))))))))))))) -> 4(0(2(4(3(1(3(1(0(2(3(3(2(1(0(4(4(1(2(1(z0))))))))))))))))))))
   0(c_2(c_1(c_2(c_1(c_0(c_2(c_3(c_0(c_0(c_4(c_2(c_3(c_1(c_4(c_0(c_3(c_1(c_3(c_1(z0)))))))))))))))))))) -> 3(1(2(3(4(3(0(2(2(2(1(2(2(3(4(2(1(4(3(1(z0))))))))))))))))))))
   1(z0) -> c_1(z0)
   1(c_0(c_0(c_4(c_0(c_0(c_1(c_2(c_3(c_0(c_1(c_4(c_1(c_3(c_0(c_2(c_1(c_4(c_0(c_0(z0)))))))))))))))))))) -> 4(1(2(4(1(3(3(4(3(3(3(1(2(2(4(1(0(3(3(1(z0))))))))))))))))))))
   1(c_1(c_0(c_2(c_4(c_4(c_4(c_1(c_2(c_4(c_4(c_1(c_0(c_4(c_2(c_2(c_1(c_3(c_0(c_3(z0)))))))))))))))))))) -> 2(1(1(1(1(3(3(4(3(1(1(4(4(2(1(3(1(0(0(3(z0))))))))))))))))))))
   1(c_4(c_1(c_3(c_0(c_1(c_1(c_1(c_1(c_0(c_4(c_0(c_0(c_3(c_0(c_3(c_2(c_4(c_3(c_4(z0)))))))))))))))))))) -> 1(4(4(0(4(0(0(2(4(0(4(3(2(1(2(4(2(4(3(1(z0))))))))))))))))))))
   1(c_4(c_2(c_4(c_4(c_3(c_3(c_4(c_3(c_3(c_4(c_1(c_4(c_1(c_2(c_3(c_4(c_1(c_1(c_2(z0)))))))))))))))))))) -> 3(2(2(0(3(0(2(2(1(2(1(0(3(4(1(3(1(2(1(2(z0))))))))))))))))))))
   1(c_0(c_0(c_0(c_3(c_2(c_4(c_3(c_1(c_2(c_3(c_0(c_2(c_4(c_1(c_0(c_1(c_2(c_4(c_2(z0)))))))))))))))))))) -> 2(0(0(4(4(1(4(3(2(1(3(1(3(0(4(1(1(4(0(2(z0))))))))))))))))))))
   1(c_4(c_1(c_2(c_3(c_0(c_0(c_2(c_3(c_4(c_1(c_4(c_0(c_2(c_0(c_4(c_1(c_1(c_2(c_0(z0)))))))))))))))))))) -> 4(3(1(2(1(4(4(3(4(3(2(2(1(3(2(1(3(4(1(4(z0))))))))))))))))))))
   1(c_3(c_4(c_3(c_0(c_3(c_1(c_4(c_3(c_2(c_4(c_0(c_1(c_0(c_0(c_1(c_3(c_3(c_1(c_1(z0)))))))))))))))))))) -> 1(2(2(4(3(1(4(4(3(1(1(0(3(3(0(3(0(1(0(4(z0))))))))))))))))))))
   1(c_2(c_4(c_4(c_0(c_0(c_4(c_3(c_0(c_2(c_2(c_3(c_0(c_0(c_4(c_4(c_3(c_3(c_3(c_2(z0)))))))))))))))))))) -> 4(2(3(2(1(0(4(3(3(1(3(3(1(4(2(0(0(1(4(3(z0))))))))))))))))))))
   1(c_0(c_1(c_1(c_3(c_3(c_0(c_2(c_0(c_2(c_2(c_1(c_0(c_4(c_1(c_0(c_4(c_3(c_1(c_4(z0)))))))))))))))))))) -> 1(2(4(1(0(0(0(1(4(2(0(0(4(4(4(1(4(3(1(4(z0))))))))))))))))))))
   1(c_2(c_0(c_3(c_1(c_0(c_2(c_0(c_4(c_1(c_4(c_4(c_2(c_4(c_0(c_4(c_3(c_4(c_4(c_3(z0)))))))))))))))))))) -> 2(1(4(4(4(1(4(1(1(2(4(1(1(2(2(1(1(0(0(0(z0))))))))))))))))))))
   1(c_4(c_2(c_3(c_1(c_4(c_2(c_2(c_0(c_4(c_2(c_3(c_0(c_1(c_3(c_2(c_1(c_3(c_3(c_4(z0)))))))))))))))))))) -> 1(4(1(3(4(3(0(1(4(0(2(1(0(1(1(0(3(1(2(2(z0))))))))))))))))))))
   2(z0) -> c_2(z0)
   2(c_1(c_3(c_3(c_4(c_1(c_4(c_0(c_4(c_0(c_3(c_0(c_0(c_2(c_4(c_1(c_4(c_0(c_0(c_3(z0)))))))))))))))))))) -> 1(0(0(4(3(3(0(3(2(2(4(3(2(2(1(1(3(1(4(1(z0))))))))))))))))))))
   2(c_4(c_2(c_3(c_0(c_2(c_3(c_2(c_2(c_3(c_2(c_1(c_0(c_3(c_4(c_1(c_3(c_1(c_0(c_1(z0)))))))))))))))))))) -> 1(3(0(4(4(1(3(2(1(0(2(4(1(0(2(2(0(4(4(1(z0))))))))))))))))))))
   2(c_2(c_2(c_0(c_0(c_0(c_3(c_4(c_4(c_0(c_2(c_1(c_2(c_0(c_0(c_2(c_0(c_3(c_0(c_0(z0)))))))))))))))))))) -> 4(2(3(4(0(4(2(1(0(3(1(1(1(3(0(0(3(1(2(0(z0))))))))))))))))))))
   2(c_0(c_0(c_3(c_3(c_1(c_0(c_4(c_2(c_3(c_1(c_2(c_3(c_0(c_4(c_1(c_3(c_0(c_4(c_4(z0)))))))))))))))))))) -> 4(0(3(4(3(3(1(2(1(4(1(4(4(3(0(3(0(1(0(0(z0))))))))))))))))))))
   2(c_3(c_0(c_4(c_0(c_2(c_4(c_4(c_4(c_2(c_1(c_2(c_0(c_3(c_2(c_2(c_1(c_1(c_3(c_0(z0)))))))))))))))))))) -> 2(1(1(1(4(4(1(1(4(0(2(3(2(4(1(0(2(4(2(1(z0))))))))))))))))))))
   2(c_4(c_3(c_4(c_4(c_4(c_4(c_3(c_2(c_4(c_4(c_2(c_3(c_3(c_1(c_1(c_0(c_4(c_2(c_2(z0)))))))))))))))))))) -> 4(1(4(3(4(2(2(1(2(1(4(4(3(1(0(4(3(4(0(0(z0))))))))))))))))))))
   2(c_2(c_3(c_3(c_0(c_2(c_0(c_3(c_0(c_1(c_4(c_3(c_2(c_2(c_1(c_0(c_2(c_2(c_4(c_4(z0)))))))))))))))))))) -> 4(1(2(4(2(1(4(2(2(0(3(0(1(4(1(2(4(3(4(0(z0))))))))))))))))))))
   2(c_3(c_0(c_4(c_1(c_3(c_1(c_3(c_0(c_0(c_1(c_1(c_1(c_1(c_2(c_3(c_1(c_4(c_2(c_1(z0)))))))))))))))))))) -> 1(0(2(2(2(3(3(1(0(4(3(1(4(2(2(1(1(0(3(1(z0))))))))))))))))))))
   2(c_0(c_0(c_0(c_0(c_1(c_4(c_4(c_3(c_1(c_3(c_3(c_2(c_2(c_1(c_4(c_4(c_2(c_3(c_1(z0)))))))))))))))))))) -> 2(4(1(0(1(4(3(1(2(2(2(1(1(1(3(4(4(0(1(2(z0))))))))))))))))))))
   2(c_3(c_0(c_2(c_4(c_0(c_1(c_0(c_3(c_4(c_3(c_3(c_1(c_4(c_1(c_0(c_4(c_3(c_2(c_2(z0)))))))))))))))))))) -> 3(1(3(1(2(2(0(4(1(3(1(1(4(2(3(4(4(4(4(4(z0))))))))))))))))))))
   2(c_2(c_3(c_3(c_1(c_3(c_1(c_2(c_0(c_0(c_4(c_3(c_4(c_2(c_2(c_0(c_2(c_2(c_4(c_0(z0)))))))))))))))))))) -> 2(1(2(0(4(4(1(0(2(4(1(3(2(1(3(1(0(2(3(3(z0))))))))))))))))))))
   2(c_1(c_1(c_3(c_2(c_4(c_3(c_0(c_1(c_4(c_2(c_0(c_3(c_1(c_2(c_0(c_4(c_0(c_3(c_2(z0)))))))))))))))))))) -> 2(2(1(0(4(2(0(1(3(0(4(1(2(4(4(3(2(2(1(2(z0))))))))))))))))))))
   2(c_0(c_4(c_3(c_4(c_4(c_2(c_1(c_0(c_0(c_2(c_4(c_4(c_2(c_1(c_1(c_1(c_1(c_1(c_4(z0)))))))))))))))))))) -> 0(4(0(1(2(2(1(4(2(1(4(3(0(4(3(4(1(1(3(1(z0))))))))))))))))))))
   2(c_3(c_3(c_3(c_4(c_0(c_4(c_1(c_0(c_2(c_2(c_4(c_2(c_4(c_1(c_1(c_3(c_3(c_4(c_1(z0)))))))))))))))))))) -> 4(2(1(4(1(0(3(1(4(4(3(3(0(1(3(1(2(4(3(0(z0))))))))))))))))))))
   2(c_0(c_1(c_4(c_4(c_3(c_3(c_4(c_2(c_3(c_1(c_3(c_1(c_1(c_3(c_0(c_4(c_1(c_3(c_2(z0)))))))))))))))))))) -> 2(1(4(3(1(0(3(1(4(4(4(2(2(0(0(4(2(0(2(2(z0))))))))))))))))))))
   2(c_2(c_4(c_1(c_0(c_3(c_0(c_4(c_2(c_4(c_3(c_3(c_4(c_3(c_3(c_1(c_0(c_1(c_0(c_0(z0)))))))))))))))))))) -> 0(4(3(4(1(0(3(4(4(4(3(0(4(0(1(2(1(3(1(4(z0))))))))))))))))))))
   2(c_3(c_4(c_4(c_0(c_0(c_4(c_4(c_4(c_3(c_3(c_0(c_4(c_2(c_2(c_3(c_0(c_0(c_1(c_3(z0)))))))))))))))))))) -> 0(2(0(4(3(3(2(1(4(4(1(2(0(1(2(4(3(3(4(1(z0))))))))))))))))))))
   2(c_3(c_1(c_3(c_2(c_1(c_4(c_1(c_0(c_2(c_4(c_2(c_0(c_0(c_2(c_3(c_4(c_4(c_3(c_2(z0)))))))))))))))))))) -> 4(1(1(4(3(2(3(1(4(1(4(4(1(3(1(2(3(4(4(1(z0))))))))))))))))))))
   2(c_3(c_2(c_4(c_2(c_1(c_0(c_0(c_2(c_4(c_3(c_4(c_1(c_1(c_3(c_2(c_4(c_2(c_1(c_2(z0)))))))))))))))))))) -> 2(3(2(1(1(0(2(0(1(1(3(2(1(4(3(1(1(0(3(1(z0))))))))))))))))))))
   2(c_0(c_2(c_2(c_1(c_3(c_3(c_2(c_4(c_0(c_1(c_0(c_3(c_1(c_4(c_0(c_0(c_0(c_1(c_3(z0)))))))))))))))))))) -> 1(3(4(2(0(1(1(3(1(3(4(4(2(3(1(0(1(3(1(3(z0))))))))))))))))))))
   3(z0) -> c_3(z0)
   3(c_0(c_3(c_3(c_3(c_4(c_2(c_1(c_4(c_2(c_2(c_3(c_2(c_0(c_4(c_4(c_4(c_1(c_1(c_1(z0)))))))))))))))))))) -> 1(4(3(4(2(2(4(3(2(0(1(4(1(1(3(1(2(1(1(3(z0))))))))))))))))))))
   3(c_1(c_0(c_0(c_1(c_0(c_4(c_4(c_1(c_0(c_1(c_2(c_4(c_0(c_2(c_1(c_3(c_0(c_2(c_0(z0)))))))))))))))))))) -> 4(4(3(2(4(2(1(2(0(0(1(4(2(3(0(0(1(0(1(4(z0))))))))))))))))))))
   3(c_0(c_3(c_0(c_4(c_1(c_3(c_1(c_1(c_0(c_4(c_1(c_2(c_3(c_4(c_1(c_1(c_0(c_1(c_4(z0)))))))))))))))))))) -> 2(0(1(2(4(3(2(1(4(2(4(0(3(2(4(2(3(1(4(1(z0))))))))))))))))))))
   3(c_3(c_0(c_3(c_0(c_4(c_2(c_0(c_1(c_3(c_3(c_4(c_1(c_0(c_3(c_2(c_2(c_1(c_1(c_1(z0)))))))))))))))))))) -> 4(0(1(3(1(2(1(0(1(1(2(3(0(4(3(3(1(3(0(1(z0))))))))))))))))))))
   3(c_3(c_1(c_1(c_2(c_2(c_4(c_2(c_1(c_4(c_3(c_3(c_4(c_3(c_1(c_0(c_0(c_2(c_1(c_1(z0)))))))))))))))))))) -> 2(2(2(0(3(1(1(1(4(1(0(3(1(2(1(4(1(3(1(1(z0))))))))))))))))))))
   3(c_2(c_0(c_0(c_1(c_4(c_1(c_0(c_3(c_3(c_0(c_3(c_0(c_1(c_4(c_1(c_3(c_3(c_2(c_1(z0)))))))))))))))))))) -> 1(2(2(2(1(1(4(3(0(3(2(2(4(2(1(4(4(3(1(4(z0))))))))))))))))))))
   3(c_3(c_4(c_1(c_1(c_4(c_4(c_3(c_1(c_0(c_1(c_3(c_0(c_0(c_3(c_1(c_3(c_3(c_2(c_0(z0)))))))))))))))))))) -> 2(1(4(1(1(1(4(2(4(2(4(1(3(4(2(3(3(2(2(4(z0))))))))))))))))))))
   3(c_4(c_1(c_4(c_3(c_2(c_2(c_4(c_1(c_1(c_4(c_4(c_2(c_3(c_0(c_1(c_1(c_3(c_0(c_1(z0)))))))))))))))))))) -> 4(1(4(0(1(4(1(2(2(4(2(2(1(2(2(1(1(1(3(2(z0))))))))))))))))))))
   3(c_4(c_2(c_4(c_2(c_0(c_3(c_4(c_2(c_4(c_3(c_1(c_4(c_3(c_4(c_0(c_4(c_4(c_3(c_1(z0)))))))))))))))))))) -> 3(4(1(3(2(3(3(4(4(1(1(3(1(3(3(1(1(4(1(0(z0))))))))))))))))))))
   3(c_2(c_1(c_0(c_2(c_3(c_1(c_2(c_3(c_2(c_0(c_1(c_0(c_3(c_0(c_0(c_1(c_4(c_2(c_1(z0)))))))))))))))))))) -> 1(3(1(4(1(1(1(4(0(0(2(1(0(4(1(2(2(3(1(1(z0))))))))))))))))))))
   3(c_1(c_0(c_0(c_0(c_4(c_0(c_4(c_3(c_0(c_2(c_4(c_3(c_3(c_3(c_1(c_1(c_3(c_0(c_1(z0)))))))))))))))))))) -> 4(2(4(2(0(1(2(3(4(1(0(3(1(2(2(0(4(4(2(4(z0))))))))))))))))))))
   3(c_4(c_2(c_1(c_4(c_1(c_3(c_4(c_3(c_4(c_2(c_0(c_2(c_2(c_4(c_3(c_0(c_1(c_0(c_1(z0)))))))))))))))))))) -> 4(2(1(4(1(2(2(2(2(2(3(1(0(1(2(4(3(1(2(4(z0))))))))))))))))))))
   3(c_4(c_0(c_0(c_1(c_2(c_0(c_4(c_4(c_4(c_4(c_4(c_1(c_2(c_2(c_4(c_4(c_0(c_3(c_0(z0)))))))))))))))))))) -> 3(2(3(4(1(1(4(3(4(4(1(1(2(2(4(4(0(0(4(0(z0))))))))))))))))))))
   3(c_2(c_4(c_4(c_2(c_0(c_2(c_4(c_4(c_3(c_3(c_1(c_1(c_2(c_4(c_2(c_3(c_4(c_4(c_2(z0)))))))))))))))))))) -> 1(4(1(3(3(2(1(2(3(4(2(4(1(3(0(4(2(1(3(1(z0))))))))))))))))))))
   3(c_4(c_0(c_3(c_1(c_3(c_3(c_3(c_0(c_1(c_3(c_2(c_2(c_3(c_4(c_2(c_2(c_4(c_4(c_2(z0)))))))))))))))))))) -> 0(3(2(1(1(1(3(2(4(0(3(0(3(3(0(2(1(2(1(2(z0))))))))))))))))))))
   3(c_4(c_0(c_0(c_4(c_1(c_4(c_1(c_1(c_0(c_1(c_0(c_1(c_2(c_1(c_3(c_2(c_2(c_3(c_4(z0)))))))))))))))))))) -> 1(3(4(2(1(3(0(1(4(3(1(3(4(0(4(1(2(4(0(2(z0))))))))))))))))))))
   3(c_2(c_2(c_3(c_3(c_0(c_0(c_4(c_4(c_0(c_4(c_4(c_4(c_2(c_3(c_3(c_1(c_1(c_2(c_1(z0)))))))))))))))))))) -> 3(0(3(4(4(4(4(1(4(3(3(0(0(2(3(2(1(2(2(1(z0))))))))))))))))))))
   3(c_2(c_4(c_0(c_0(c_2(c_4(c_0(c_4(c_3(c_4(c_2(c_1(c_1(c_2(c_4(c_3(c_3(c_2(c_1(z0)))))))))))))))))))) -> 0(3(3(4(3(1(4(2(4(3(2(1(4(1(4(0(3(1(4(2(z0))))))))))))))))))))
   3(c_0(c_2(c_2(c_1(c_0(c_0(c_0(c_0(c_0(c_3(c_1(c_0(c_0(c_4(c_3(c_4(c_2(c_2(c_0(z0)))))))))))))))))))) -> 3(2(2(0(0(2(2(4(0(4(3(4(3(0(2(2(3(2(1(0(z0))))))))))))))))))))
   3(c_0(c_3(c_0(c_0(c_1(c_3(c_2(c_4(c_4(c_4(c_0(c_3(c_0(c_1(c_4(c_1(c_2(c_4(c_3(z0)))))))))))))))))))) -> 2(2(3(2(1(0(2(0(0(2(0(4(0(4(0(4(3(2(2(3(z0))))))))))))))))))))
   3(c_4(c_4(c_0(c_0(c_0(c_0(c_3(c_2(c_2(c_2(c_1(c_4(c_4(c_4(c_1(c_2(c_4(c_0(c_3(z0)))))))))))))))))))) -> 1(1(4(0(0(2(0(1(2(2(2(2(0(1(3(1(0(2(0(0(z0))))))))))))))))))))
   3(c_0(c_1(c_4(c_2(c_2(c_1(c_1(c_2(c_4(c_4(c_1(c_1(c_1(c_3(c_1(c_1(c_3(c_3(c_3(z0)))))))))))))))))))) -> 3(3(4(2(1(1(3(1(2(1(2(2(1(3(4(1(4(2(4(2(z0))))))))))))))))))))
   3(c_1(c_4(c_4(c_1(c_4(c_3(c_4(c_0(c_3(c_0(c_2(c_0(c_3(c_2(c_1(c_2(c_3(c_2(c_4(z0)))))))))))))))))))) -> 2(0(3(1(2(3(1(2(1(2(1(3(3(4(2(0(0(2(2(1(z0))))))))))))))))))))
   3(c_3(c_3(c_4(c_2(c_3(c_3(c_0(c_1(c_3(c_4(c_4(c_4(c_0(c_4(c_2(c_2(c_4(c_0(c_2(z0)))))))))))))))))))) -> 3(4(3(4(1(3(4(2(2(2(2(0(4(1(3(3(1(1(4(4(z0))))))))))))))))))))
   4(z0) -> c_4(z0)
   4(c_1(c_3(c_2(c_2(c_4(c_4(c_2(c_0(c_0(c_3(c_2(c_3(c_1(c_1(c_3(c_2(c_3(c_3(c_1(z0)))))))))))))))))))) -> 3(2(1(2(1(3(2(1(3(2(3(2(1(1(2(1(2(3(4(3(z0))))))))))))))))))))
   4(c_0(c_3(c_0(c_3(c_1(c_1(c_2(c_0(c_4(c_3(c_0(c_4(c_3(c_1(c_0(c_0(c_4(c_2(c_4(z0)))))))))))))))))))) -> 2(4(4(4(4(2(2(2(2(4(3(2(2(3(4(1(2(0(1(3(z0))))))))))))))))))))
   4(c_3(c_4(c_3(c_4(c_4(c_3(c_0(c_3(c_3(c_2(c_2(c_3(c_1(c_3(c_2(c_2(c_3(c_4(c_1(z0)))))))))))))))))))) -> 4(1(0(0(4(3(4(1(2(4(3(3(2(1(3(4(1(0(3(1(z0))))))))))))))))))))
   4(c_4(c_0(c_4(c_4(c_1(c_0(c_3(c_3(c_2(c_0(c_3(c_0(c_1(c_3(c_0(c_3(c_1(c_3(c_3(z0)))))))))))))))))))) -> 2(1(0(3(1(3(1(4(3(3(0(0(1(4(4(1(2(2(3(0(z0))))))))))))))))))))
   4(c_2(c_1(c_2(c_1(c_1(c_2(c_3(c_4(c_2(c_3(c_2(c_1(c_4(c_2(c_2(c_4(c_0(c_3(c_0(z0)))))))))))))))))))) -> 3(1(0(2(1(3(1(2(1(0(2(1(1(3(1(0(4(0(3(4(z0))))))))))))))))))))
   4(c_0(c_2(c_4(c_2(c_1(c_4(c_2(c_4(c_2(c_4(c_1(c_2(c_0(c_1(c_0(c_3(c_0(c_3(c_0(z0)))))))))))))))))))) -> 0(3(1(0(4(1(4(2(3(1(4(4(1(2(0(1(0(0(0(4(z0))))))))))))))))))))
   4(c_3(c_2(c_0(c_1(c_0(c_2(c_2(c_3(c_1(c_4(c_0(c_0(c_3(c_4(c_0(c_0(c_1(c_1(c_2(z0)))))))))))))))))))) -> 3(2(0(3(0(0(4(1(1(4(2(4(1(4(3(1(3(1(4(3(z0))))))))))))))))))))
   4(c_1(c_3(c_4(c_1(c_3(c_0(c_2(c_4(c_3(c_4(c_3(c_3(c_1(c_0(c_2(c_0(c_1(c_2(c_4(z0)))))))))))))))))))) -> 2(0(4(4(1(0(2(2(1(1(4(0(4(0(1(4(0(4(4(3(z0))))))))))))))))))))
   4(c_3(c_1(c_3(c_2(c_2(c_4(c_0(c_1(c_0(c_4(c_0(c_0(c_2(c_1(c_0(c_1(c_4(c_3(c_0(z0)))))))))))))))))))) -> 1(3(1(1(1(1(3(4(4(1(4(4(1(4(0(4(2(4(1(3(z0))))))))))))))))))))
   4(c_1(c_3(c_4(c_2(c_3(c_0(c_4(c_4(c_3(c_3(c_1(c_1(c_3(c_4(c_1(c_1(c_3(c_3(c_0(z0)))))))))))))))))))) -> 2(4(4(4(4(2(2(4(1(0(2(2(4(0(3(2(2(2(2(2(z0))))))))))))))))))))
   4(c_3(c_4(c_4(c_2(c_2(c_3(c_2(c_0(c_4(c_2(c_4(c_2(c_2(c_1(c_4(c_2(c_3(c_3(c_0(z0)))))))))))))))))))) -> 1(2(1(2(1(1(0(4(0(1(1(4(2(1(0(4(1(0(4(3(z0))))))))))))))))))))
   4(c_4(c_3(c_2(c_1(c_2(c_0(c_3(c_0(c_4(c_0(c_2(c_1(c_4(c_4(c_0(c_2(c_1(c_3(c_0(z0)))))))))))))))))))) -> 4(2(4(1(4(2(2(0(1(0(3(1(3(0(1(3(3(2(1(0(z0))))))))))))))))))))
   4(c_1(c_2(c_1(c_0(c_4(c_3(c_1(c_3(c_0(c_2(c_3(c_3(c_4(c_3(c_1(c_0(c_0(c_0(c_4(z0)))))))))))))))))))) -> 3(2(0(2(2(1(2(1(1(2(3(0(1(3(3(3(2(4(1(0(z0))))))))))))))))))))
   4(c_0(c_0(c_3(c_3(c_1(c_0(c_2(c_2(c_0(c_4(c_0(c_4(c_3(c_0(c_0(c_2(c_2(c_1(c_3(z0)))))))))))))))))))) -> 0(0(3(2(1(2(3(2(4(3(1(2(0(2(2(1(1(0(3(1(z0))))))))))))))))))))
   4(c_3(c_4(c_3(c_4(c_4(c_2(c_0(c_4(c_4(c_2(c_0(c_2(c_0(c_4(c_4(c_2(c_2(c_3(c_3(z0)))))))))))))))))))) -> 3(4(0(1(3(0(0(4(3(1(2(2(3(1(3(4(2(2(0(3(z0))))))))))))))))))))
   4(c_3(c_2(c_3(c_2(c_2(c_1(c_2(c_0(c_3(c_0(c_0(c_0(c_1(c_1(c_3(c_2(c_4(c_3(c_4(z0)))))))))))))))))))) -> 1(3(1(4(0(2(1(0(0(1(3(4(0(3(3(4(2(1(2(1(z0))))))))))))))))))))
   4(c_0(c_2(c_1(c_3(c_3(c_4(c_4(c_0(c_0(c_0(c_3(c_2(c_3(c_4(c_4(c_4(c_3(c_2(c_3(z0)))))))))))))))))))) -> 4(0(2(1(4(0(2(0(0(4(0(4(1(0(2(3(4(4(1(2(z0))))))))))))))))))))
   4(c_1(c_1(c_0(c_3(c_0(c_1(c_3(c_0(c_4(c_4(c_2(c_1(c_2(c_4(c_2(c_0(c_0(c_3(c_0(z0)))))))))))))))))))) -> 2(3(2(0(1(4(4(4(3(2(3(3(1(4(3(4(2(0(1(3(z0))))))))))))))))))))
   4(c_3(c_3(c_2(c_2(c_1(c_3(c_4(c_4(c_2(c_4(c_2(c_3(c_0(c_0(c_2(c_2(c_3(c_2(c_4(z0)))))))))))))))))))) -> 3(2(2(1(1(0(2(2(4(0(0(0(2(1(3(1(0(4(3(4(z0))))))))))))))))))))
   4(c_1(c_0(c_2(c_0(c_3(c_2(c_1(c_1(c_3(c_1(c_1(c_0(c_1(c_1(c_2(c_0(c_0(c_4(c_4(z0)))))))))))))))))))) -> 2(1(4(2(2(2(2(2(2(2(0(1(0(3(1(0(1(1(4(0(z0))))))))))))))))))))
   4(c_1(c_1(c_1(c_2(c_2(c_3(c_3(c_3(c_4(c_4(c_0(c_2(c_0(c_2(c_1(c_0(c_1(c_0(c_0(z0)))))))))))))))))))) -> 1(1(0(3(4(0(2(3(1(4(2(4(1(0(4(0(3(1(1(4(z0))))))))))))))))))))
   4(c_4(c_1(c_1(c_2(c_0(c_1(c_0(c_2(c_2(c_1(c_0(c_0(c_1(c_0(c_0(c_1(c_1(c_3(c_2(z0)))))))))))))))))))) -> 3(1(4(1(4(4(3(1(2(3(3(2(1(3(3(1(1(3(2(4(z0))))))))))))))))))))
   4(c_4(c_3(c_4(c_4(c_2(c_4(c_1(c_1(c_0(c_2(c_3(c_1(c_0(c_3(c_1(c_2(c_2(c_4(c_0(z0)))))))))))))))))))) -> 1(2(1(1(1(2(4(1(4(3(1(4(1(4(3(2(0(4(2(2(z0))))))))))))))))))))
   4(c_0(c_4(c_3(c_0(c_0(c_2(c_1(c_2(c_2(c_0(c_3(c_0(c_3(c_1(c_1(c_1(c_3(c_3(c_3(z0)))))))))))))))))))) -> 4(1(2(1(1(2(2(1(1(2(0(1(0(2(4(4(1(1(1(0(z0))))))))))))))))))))
Tuples:
   ENCARG(cons_0(z0)) -> c(0'(encArg(z0)), ENCARG(z0))
   ENCARG(cons_1(z0)) -> c1(1'(encArg(z0)), ENCARG(z0))
   ENCARG(cons_2(z0)) -> c2(2'(encArg(z0)), ENCARG(z0))
   ENCARG(cons_3(z0)) -> c3(3'(encArg(z0)), ENCARG(z0))
   ENCARG(cons_4(z0)) -> c4(4'(encArg(z0)), ENCARG(z0))
   0'(c_4(c_4(c_4(c_0(c_2(c_2(c_1(c_3(c_2(c_1(c_0(c_4(c_1(c_3(c_0(c_1(c_3(c_4(c_4(z0)))))))))))))))))))) -> c11(3'(2(3(0(1(2(2(3(1(4(0(4(1(1(1(4(2(2(1(1(z0)))))))))))))))))))), 2'(3(0(1(2(2(3(1(4(0(4(1(1(1(4(2(2(1(1(z0))))))))))))))))))), 3'(0(1(2(2(3(1(4(0(4(1(1(1(4(2(2(1(1(z0)))))))))))))))))), 0'(1(2(2(3(1(4(0(4(1(1(1(4(2(2(1(1(z0))))))))))))))))), 1'(2(2(3(1(4(0(4(1(1(1(4(2(2(1(1(z0)))))))))))))))), 2'(2(3(1(4(0(4(1(1(1(4(2(2(1(1(z0))))))))))))))), 2'(3(1(4(0(4(1(1(1(4(2(2(1(1(z0)))))))))))))), 3'(1(4(0(4(1(1(1(4(2(2(1(1(z0))))))))))))), 1'(4(0(4(1(1(1(4(2(2(1(1(z0)))))))))))), 4'(0(4(1(1(1(4(2(2(1(1(z0))))))))))), 0'(4(1(1(1(4(2(2(1(1(z0)))))))))), 4'(1(1(1(4(2(2(1(1(z0))))))))), 1'(1(1(4(2(2(1(1(z0)))))))), 1'(1(4(2(2(1(1(z0))))))), 1'(4(2(2(1(1(z0)))))), 4'(2(2(1(1(z0))))), 2'(2(1(1(z0)))), 2'(1(1(z0))), 1'(1(z0)), 1'(z0))
   0'(c_1(c_4(c_2(c_3(c_1(c_1(c_2(c_3(c_2(c_3(c_1(c_0(c_1(c_0(c_2(c_0(c_2(c_3(c_2(z0)))))))))))))))))))) -> c12(3'(1(3(2(0(4(1(3(2(1(0(4(0(4(4(3(2(1(4(3(z0)))))))))))))))))))), 1'(3(2(0(4(1(3(2(1(0(4(0(4(4(3(2(1(4(3(z0))))))))))))))))))), 3'(2(0(4(1(3(2(1(0(4(0(4(4(3(2(1(4(3(z0)))))))))))))))))), 2'(0(4(1(3(2(1(0(4(0(4(4(3(2(1(4(3(z0))))))))))))))))), 0'(4(1(3(2(1(0(4(0(4(4(3(2(1(4(3(z0)))))))))))))))), 4'(1(3(2(1(0(4(0(4(4(3(2(1(4(3(z0))))))))))))))), 1'(3(2(1(0(4(0(4(4(3(2(1(4(3(z0)))))))))))))), 3'(2(1(0(4(0(4(4(3(2(1(4(3(z0))))))))))))), 2'(1(0(4(0(4(4(3(2(1(4(3(z0)))))))))))), 1'(0(4(0(4(4(3(2(1(4(3(z0))))))))))), 0'(4(0(4(4(3(2(1(4(3(z0)))))))))), 4'(0(4(4(3(2(1(4(3(z0))))))))), 0'(4(4(3(2(1(4(3(z0)))))))), 4'(4(3(2(1(4(3(z0))))))), 4'(3(2(1(4(3(z0)))))), 3'(2(1(4(3(z0))))), 2'(1(4(3(z0)))), 1'(4(3(z0))), 4'(3(z0)), 3'(z0))
   0'(c_3(c_0(c_0(c_1(c_1(c_4(c_3(c_4(c_3(c_0(c_4(c_2(c_1(c_4(c_3(c_4(c_2(c_1(c_2(z0)))))))))))))))))))) -> c13(1'(4(0(1(2(2(2(3(4(4(2(4(2(2(1(3(1(4(2(4(z0)))))))))))))))))))), 4'(0(1(2(2(2(3(4(4(2(4(2(2(1(3(1(4(2(4(z0))))))))))))))))))), 0'(1(2(2(2(3(4(4(2(4(2(2(1(3(1(4(2(4(z0)))))))))))))))))), 1'(2(2(2(3(4(4(2(4(2(2(1(3(1(4(2(4(z0))))))))))))))))), 2'(2(2(3(4(4(2(4(2(2(1(3(1(4(2(4(z0)))))))))))))))), 2'(2(3(4(4(2(4(2(2(1(3(1(4(2(4(z0))))))))))))))), 2'(3(4(4(2(4(2(2(1(3(1(4(2(4(z0)))))))))))))), 3'(4(4(2(4(2(2(1(3(1(4(2(4(z0))))))))))))), 4'(4(2(4(2(2(1(3(1(4(2(4(z0)))))))))))), 4'(2(4(2(2(1(3(1(4(2(4(z0))))))))))), 2'(4(2(2(1(3(1(4(2(4(z0)))))))))), 4'(2(2(1(3(1(4(2(4(z0))))))))), 2'(2(1(3(1(4(2(4(z0)))))))), 2'(1(3(1(4(2(4(z0))))))), 1'(3(1(4(2(4(z0)))))), 3'(1(4(2(4(z0))))), 1'(4(2(4(z0)))), 4'(2(4(z0))), 2'(4(z0)), 4'(z0))
   0'(c_0(c_0(c_0(c_1(c_0(c_2(c_2(c_3(c_2(c_1(c_1(c_0(c_3(c_2(c_1(c_1(c_1(c_2(c_4(z0)))))))))))))))))))) -> c14(0'(3(2(3(3(2(1(4(2(2(2(1(0(0(2(0(1(2(2(4(z0)))))))))))))))))))), 3'(2(3(3(2(1(4(2(2(2(1(0(0(2(0(1(2(2(4(z0))))))))))))))))))), 2'(3(3(2(1(4(2(2(2(1(0(0(2(0(1(2(2(4(z0)))))))))))))))))), 3'(3(2(1(4(2(2(2(1(0(0(2(0(1(2(2(4(z0))))))))))))))))), 3'(2(1(4(2(2(2(1(0(0(2(0(1(2(2(4(z0)))))))))))))))), 2'(1(4(2(2(2(1(0(0(2(0(1(2(2(4(z0))))))))))))))), 1'(4(2(2(2(1(0(0(2(0(1(2(2(4(z0)))))))))))))), 4'(2(2(2(1(0(0(2(0(1(2(2(4(z0))))))))))))), 2'(2(2(1(0(0(2(0(1(2(2(4(z0)))))))))))), 2'(2(1(0(0(2(0(1(2(2(4(z0))))))))))), 2'(1(0(0(2(0(1(2(2(4(z0)))))))))), 1'(0(0(2(0(1(2(2(4(z0))))))))), 0'(0(2(0(1(2(2(4(z0)))))))), 0'(2(0(1(2(2(4(z0))))))), 2'(0(1(2(2(4(z0)))))), 0'(1(2(2(4(z0))))), 1'(2(2(4(z0)))), 2'(2(4(z0))), 2'(4(z0)), 4'(z0))
   0'(c_2(c_1(c_4(c_2(c_4(c_3(c_4(c_0(c_0(c_3(c_0(c_2(c_4(c_1(c_4(c_4(c_0(c_1(c_1(z0)))))))))))))))))))) -> c15(4'(4(3(3(1(4(0(3(2(3(3(1(4(0(1(2(1(4(1(0(z0)))))))))))))))))))), 4'(3(3(1(4(0(3(2(3(3(1(4(0(1(2(1(4(1(0(z0))))))))))))))))))), 3'(3(1(4(0(3(2(3(3(1(4(0(1(2(1(4(1(0(z0)))))))))))))))))), 3'(1(4(0(3(2(3(3(1(4(0(1(2(1(4(1(0(z0))))))))))))))))), 1'(4(0(3(2(3(3(1(4(0(1(2(1(4(1(0(z0)))))))))))))))), 4'(0(3(2(3(3(1(4(0(1(2(1(4(1(0(z0))))))))))))))), 0'(3(2(3(3(1(4(0(1(2(1(4(1(0(z0)))))))))))))), 3'(2(3(3(1(4(0(1(2(1(4(1(0(z0))))))))))))), 2'(3(3(1(4(0(1(2(1(4(1(0(z0)))))))))))), 3'(3(1(4(0(1(2(1(4(1(0(z0))))))))))), 3'(1(4(0(1(2(1(4(1(0(z0)))))))))), 1'(4(0(1(2(1(4(1(0(z0))))))))), 4'(0(1(2(1(4(1(0(z0)))))))), 0'(1(2(1(4(1(0(z0))))))), 1'(2(1(4(1(0(z0)))))), 2'(1(4(1(0(z0))))), 1'(4(1(0(z0)))), 4'(1(0(z0))), 1'(0(z0)), 0'(z0))
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   4'(c_0(c_2(c_1(c_3(c_3(c_4(c_4(c_0(c_0(c_0(c_3(c_2(c_3(c_4(c_4(c_4(c_3(c_2(c_3(z0)))))))))))))))))))) -> c106(4'(0(2(1(4(0(2(0(0(4(0(4(1(0(2(3(4(4(1(2(z0)))))))))))))))))))), 0'(2(1(4(0(2(0(0(4(0(4(1(0(2(3(4(4(1(2(z0))))))))))))))))))), 2'(1(4(0(2(0(0(4(0(4(1(0(2(3(4(4(1(2(z0)))))))))))))))))), 1'(4(0(2(0(0(4(0(4(1(0(2(3(4(4(1(2(z0))))))))))))))))), 4'(0(2(0(0(4(0(4(1(0(2(3(4(4(1(2(z0)))))))))))))))), 0'(2(0(0(4(0(4(1(0(2(3(4(4(1(2(z0))))))))))))))), 2'(0(0(4(0(4(1(0(2(3(4(4(1(2(z0)))))))))))))), 0'(0(4(0(4(1(0(2(3(4(4(1(2(z0))))))))))))), 0'(4(0(4(1(0(2(3(4(4(1(2(z0)))))))))))), 4'(0(4(1(0(2(3(4(4(1(2(z0))))))))))), 0'(4(1(0(2(3(4(4(1(2(z0)))))))))), 4'(1(0(2(3(4(4(1(2(z0))))))))), 1'(0(2(3(4(4(1(2(z0)))))))), 0'(2(3(4(4(1(2(z0))))))), 2'(3(4(4(1(2(z0)))))), 3'(4(4(1(2(z0))))), 4'(4(1(2(z0)))), 4'(1(2(z0))), 1'(2(z0)), 2'(z0))
   4'(c_1(c_1(c_0(c_3(c_0(c_1(c_3(c_0(c_4(c_4(c_2(c_1(c_2(c_4(c_2(c_0(c_0(c_3(c_0(z0)))))))))))))))))))) -> c107(2'(3(2(0(1(4(4(4(3(2(3(3(1(4(3(4(2(0(1(3(z0)))))))))))))))))))), 3'(2(0(1(4(4(4(3(2(3(3(1(4(3(4(2(0(1(3(z0))))))))))))))))))), 2'(0(1(4(4(4(3(2(3(3(1(4(3(4(2(0(1(3(z0)))))))))))))))))), 0'(1(4(4(4(3(2(3(3(1(4(3(4(2(0(1(3(z0))))))))))))))))), 1'(4(4(4(3(2(3(3(1(4(3(4(2(0(1(3(z0)))))))))))))))), 4'(4(4(3(2(3(3(1(4(3(4(2(0(1(3(z0))))))))))))))), 4'(4(3(2(3(3(1(4(3(4(2(0(1(3(z0)))))))))))))), 4'(3(2(3(3(1(4(3(4(2(0(1(3(z0))))))))))))), 3'(2(3(3(1(4(3(4(2(0(1(3(z0)))))))))))), 2'(3(3(1(4(3(4(2(0(1(3(z0))))))))))), 3'(3(1(4(3(4(2(0(1(3(z0)))))))))), 3'(1(4(3(4(2(0(1(3(z0))))))))), 1'(4(3(4(2(0(1(3(z0)))))))), 4'(3(4(2(0(1(3(z0))))))), 3'(4(2(0(1(3(z0)))))), 4'(2(0(1(3(z0))))), 2'(0(1(3(z0)))), 0'(1(3(z0))), 1'(3(z0)), 3'(z0))
   4'(c_3(c_3(c_2(c_2(c_1(c_3(c_4(c_4(c_2(c_4(c_2(c_3(c_0(c_0(c_2(c_2(c_3(c_2(c_4(z0)))))))))))))))))))) -> c108(3'(2(2(1(1(0(2(2(4(0(0(0(2(1(3(1(0(4(3(4(z0)))))))))))))))))))), 2'(2(1(1(0(2(2(4(0(0(0(2(1(3(1(0(4(3(4(z0))))))))))))))))))), 2'(1(1(0(2(2(4(0(0(0(2(1(3(1(0(4(3(4(z0)))))))))))))))))), 1'(1(0(2(2(4(0(0(0(2(1(3(1(0(4(3(4(z0))))))))))))))))), 1'(0(2(2(4(0(0(0(2(1(3(1(0(4(3(4(z0)))))))))))))))), 0'(2(2(4(0(0(0(2(1(3(1(0(4(3(4(z0))))))))))))))), 2'(2(4(0(0(0(2(1(3(1(0(4(3(4(z0)))))))))))))), 2'(4(0(0(0(2(1(3(1(0(4(3(4(z0))))))))))))), 4'(0(0(0(2(1(3(1(0(4(3(4(z0)))))))))))), 0'(0(0(2(1(3(1(0(4(3(4(z0))))))))))), 0'(0(2(1(3(1(0(4(3(4(z0)))))))))), 0'(2(1(3(1(0(4(3(4(z0))))))))), 2'(1(3(1(0(4(3(4(z0)))))))), 1'(3(1(0(4(3(4(z0))))))), 3'(1(0(4(3(4(z0)))))), 1'(0(4(3(4(z0))))), 0'(4(3(4(z0)))), 4'(3(4(z0))), 3'(4(z0)), 4'(z0))
   4'(c_1(c_0(c_2(c_0(c_3(c_2(c_1(c_1(c_3(c_1(c_1(c_0(c_1(c_1(c_2(c_0(c_0(c_4(c_4(z0)))))))))))))))))))) -> c109(2'(1(4(2(2(2(2(2(2(2(0(1(0(3(1(0(1(1(4(0(z0)))))))))))))))))))), 1'(4(2(2(2(2(2(2(2(0(1(0(3(1(0(1(1(4(0(z0))))))))))))))))))), 4'(2(2(2(2(2(2(2(0(1(0(3(1(0(1(1(4(0(z0)))))))))))))))))), 2'(2(2(2(2(2(2(0(1(0(3(1(0(1(1(4(0(z0))))))))))))))))), 2'(2(2(2(2(2(0(1(0(3(1(0(1(1(4(0(z0)))))))))))))))), 2'(2(2(2(2(0(1(0(3(1(0(1(1(4(0(z0))))))))))))))), 2'(2(2(2(0(1(0(3(1(0(1(1(4(0(z0)))))))))))))), 2'(2(2(0(1(0(3(1(0(1(1(4(0(z0))))))))))))), 2'(2(0(1(0(3(1(0(1(1(4(0(z0)))))))))))), 2'(0(1(0(3(1(0(1(1(4(0(z0))))))))))), 0'(1(0(3(1(0(1(1(4(0(z0)))))))))), 1'(0(3(1(0(1(1(4(0(z0))))))))), 0'(3(1(0(1(1(4(0(z0)))))))), 3'(1(0(1(1(4(0(z0))))))), 1'(0(1(1(4(0(z0)))))), 0'(1(1(4(0(z0))))), 1'(1(4(0(z0)))), 1'(4(0(z0))), 4'(0(z0)), 0'(z0))
   4'(c_1(c_1(c_1(c_2(c_2(c_3(c_3(c_3(c_4(c_4(c_0(c_2(c_0(c_2(c_1(c_0(c_1(c_0(c_0(z0)))))))))))))))))))) -> c110(1'(1(0(3(4(0(2(3(1(4(2(4(1(0(4(0(3(1(1(4(z0)))))))))))))))))))), 1'(0(3(4(0(2(3(1(4(2(4(1(0(4(0(3(1(1(4(z0))))))))))))))))))), 0'(3(4(0(2(3(1(4(2(4(1(0(4(0(3(1(1(4(z0)))))))))))))))))), 3'(4(0(2(3(1(4(2(4(1(0(4(0(3(1(1(4(z0))))))))))))))))), 4'(0(2(3(1(4(2(4(1(0(4(0(3(1(1(4(z0)))))))))))))))), 0'(2(3(1(4(2(4(1(0(4(0(3(1(1(4(z0))))))))))))))), 2'(3(1(4(2(4(1(0(4(0(3(1(1(4(z0)))))))))))))), 3'(1(4(2(4(1(0(4(0(3(1(1(4(z0))))))))))))), 1'(4(2(4(1(0(4(0(3(1(1(4(z0)))))))))))), 4'(2(4(1(0(4(0(3(1(1(4(z0))))))))))), 2'(4(1(0(4(0(3(1(1(4(z0)))))))))), 4'(1(0(4(0(3(1(1(4(z0))))))))), 1'(0(4(0(3(1(1(4(z0)))))))), 0'(4(0(3(1(1(4(z0))))))), 4'(0(3(1(1(4(z0)))))), 0'(3(1(1(4(z0))))), 3'(1(1(4(z0)))), 1'(1(4(z0))), 1'(4(z0)), 4'(z0))
   4'(c_4(c_1(c_1(c_2(c_0(c_1(c_0(c_2(c_2(c_1(c_0(c_0(c_1(c_0(c_0(c_1(c_1(c_3(c_2(z0)))))))))))))))))))) -> c111(3'(1(4(1(4(4(3(1(2(3(3(2(1(3(3(1(1(3(2(4(z0)))))))))))))))))))), 1'(4(1(4(4(3(1(2(3(3(2(1(3(3(1(1(3(2(4(z0))))))))))))))))))), 4'(1(4(4(3(1(2(3(3(2(1(3(3(1(1(3(2(4(z0)))))))))))))))))), 1'(4(4(3(1(2(3(3(2(1(3(3(1(1(3(2(4(z0))))))))))))))))), 4'(4(3(1(2(3(3(2(1(3(3(1(1(3(2(4(z0)))))))))))))))), 4'(3(1(2(3(3(2(1(3(3(1(1(3(2(4(z0))))))))))))))), 3'(1(2(3(3(2(1(3(3(1(1(3(2(4(z0)))))))))))))), 1'(2(3(3(2(1(3(3(1(1(3(2(4(z0))))))))))))), 2'(3(3(2(1(3(3(1(1(3(2(4(z0)))))))))))), 3'(3(2(1(3(3(1(1(3(2(4(z0))))))))))), 3'(2(1(3(3(1(1(3(2(4(z0)))))))))), 2'(1(3(3(1(1(3(2(4(z0))))))))), 1'(3(3(1(1(3(2(4(z0)))))))), 3'(3(1(1(3(2(4(z0))))))), 3'(1(1(3(2(4(z0)))))), 1'(1(3(2(4(z0))))), 1'(3(2(4(z0)))), 3'(2(4(z0))), 2'(4(z0)), 4'(z0))
   4'(c_4(c_3(c_4(c_4(c_2(c_4(c_1(c_1(c_0(c_2(c_3(c_1(c_0(c_3(c_1(c_2(c_2(c_4(c_0(z0)))))))))))))))))))) -> c112(1'(2(1(1(1(2(4(1(4(3(1(4(1(4(3(2(0(4(2(2(z0)))))))))))))))))))), 2'(1(1(1(2(4(1(4(3(1(4(1(4(3(2(0(4(2(2(z0))))))))))))))))))), 1'(1(1(2(4(1(4(3(1(4(1(4(3(2(0(4(2(2(z0)))))))))))))))))), 1'(1(2(4(1(4(3(1(4(1(4(3(2(0(4(2(2(z0))))))))))))))))), 1'(2(4(1(4(3(1(4(1(4(3(2(0(4(2(2(z0)))))))))))))))), 2'(4(1(4(3(1(4(1(4(3(2(0(4(2(2(z0))))))))))))))), 4'(1(4(3(1(4(1(4(3(2(0(4(2(2(z0)))))))))))))), 1'(4(3(1(4(1(4(3(2(0(4(2(2(z0))))))))))))), 4'(3(1(4(1(4(3(2(0(4(2(2(z0)))))))))))), 3'(1(4(1(4(3(2(0(4(2(2(z0))))))))))), 1'(4(1(4(3(2(0(4(2(2(z0)))))))))), 4'(1(4(3(2(0(4(2(2(z0))))))))), 1'(4(3(2(0(4(2(2(z0)))))))), 4'(3(2(0(4(2(2(z0))))))), 3'(2(0(4(2(2(z0)))))), 2'(0(4(2(2(z0))))), 0'(4(2(2(z0)))), 4'(2(2(z0))), 2'(2(z0)), 2'(z0))
   4'(c_0(c_4(c_3(c_0(c_0(c_2(c_1(c_2(c_2(c_0(c_3(c_0(c_3(c_1(c_1(c_1(c_3(c_3(c_3(z0)))))))))))))))))))) -> c113(4'(1(2(1(1(2(2(1(1(2(0(1(0(2(4(4(1(1(1(0(z0)))))))))))))))))))), 1'(2(1(1(2(2(1(1(2(0(1(0(2(4(4(1(1(1(0(z0))))))))))))))))))), 2'(1(1(2(2(1(1(2(0(1(0(2(4(4(1(1(1(0(z0)))))))))))))))))), 1'(1(2(2(1(1(2(0(1(0(2(4(4(1(1(1(0(z0))))))))))))))))), 1'(2(2(1(1(2(0(1(0(2(4(4(1(1(1(0(z0)))))))))))))))), 2'(2(1(1(2(0(1(0(2(4(4(1(1(1(0(z0))))))))))))))), 2'(1(1(2(0(1(0(2(4(4(1(1(1(0(z0)))))))))))))), 1'(1(2(0(1(0(2(4(4(1(1(1(0(z0))))))))))))), 1'(2(0(1(0(2(4(4(1(1(1(0(z0)))))))))))), 2'(0(1(0(2(4(4(1(1(1(0(z0))))))))))), 0'(1(0(2(4(4(1(1(1(0(z0)))))))))), 1'(0(2(4(4(1(1(1(0(z0))))))))), 0'(2(4(4(1(1(1(0(z0)))))))), 2'(4(4(1(1(1(0(z0))))))), 4'(4(1(1(1(0(z0)))))), 4'(1(1(1(0(z0))))), 1'(1(1(0(z0)))), 1'(1(0(z0))), 1'(0(z0)), 0'(z0))
   ENCODE_0(z0) -> c10(0'(encArg(z0)))
   ENCODE_1(z0) -> c10(1'(encArg(z0)))
   ENCODE_2(z0) -> c10(2'(encArg(z0)))
   ENCODE_3(z0) -> c10(3'(encArg(z0)))
   ENCODE_4(z0) -> c10(4'(encArg(z0)))
S tuples:
   0'(c_4(c_4(c_4(c_0(c_2(c_2(c_1(c_3(c_2(c_1(c_0(c_4(c_1(c_3(c_0(c_1(c_3(c_4(c_4(z0)))))))))))))))))))) -> c11(3'(2(3(0(1(2(2(3(1(4(0(4(1(1(1(4(2(2(1(1(z0)))))))))))))))))))), 2'(3(0(1(2(2(3(1(4(0(4(1(1(1(4(2(2(1(1(z0))))))))))))))))))), 3'(0(1(2(2(3(1(4(0(4(1(1(1(4(2(2(1(1(z0)))))))))))))))))), 0'(1(2(2(3(1(4(0(4(1(1(1(4(2(2(1(1(z0))))))))))))))))), 1'(2(2(3(1(4(0(4(1(1(1(4(2(2(1(1(z0)))))))))))))))), 2'(2(3(1(4(0(4(1(1(1(4(2(2(1(1(z0))))))))))))))), 2'(3(1(4(0(4(1(1(1(4(2(2(1(1(z0)))))))))))))), 3'(1(4(0(4(1(1(1(4(2(2(1(1(z0))))))))))))), 1'(4(0(4(1(1(1(4(2(2(1(1(z0)))))))))))), 4'(0(4(1(1(1(4(2(2(1(1(z0))))))))))), 0'(4(1(1(1(4(2(2(1(1(z0)))))))))), 4'(1(1(1(4(2(2(1(1(z0))))))))), 1'(1(1(4(2(2(1(1(z0)))))))), 1'(1(4(2(2(1(1(z0))))))), 1'(4(2(2(1(1(z0)))))), 4'(2(2(1(1(z0))))), 2'(2(1(1(z0)))), 2'(1(1(z0))), 1'(1(z0)), 1'(z0))
   0'(c_1(c_4(c_2(c_3(c_1(c_1(c_2(c_3(c_2(c_3(c_1(c_0(c_1(c_0(c_2(c_0(c_2(c_3(c_2(z0)))))))))))))))))))) -> c12(3'(1(3(2(0(4(1(3(2(1(0(4(0(4(4(3(2(1(4(3(z0)))))))))))))))))))), 1'(3(2(0(4(1(3(2(1(0(4(0(4(4(3(2(1(4(3(z0))))))))))))))))))), 3'(2(0(4(1(3(2(1(0(4(0(4(4(3(2(1(4(3(z0)))))))))))))))))), 2'(0(4(1(3(2(1(0(4(0(4(4(3(2(1(4(3(z0))))))))))))))))), 0'(4(1(3(2(1(0(4(0(4(4(3(2(1(4(3(z0)))))))))))))))), 4'(1(3(2(1(0(4(0(4(4(3(2(1(4(3(z0))))))))))))))), 1'(3(2(1(0(4(0(4(4(3(2(1(4(3(z0)))))))))))))), 3'(2(1(0(4(0(4(4(3(2(1(4(3(z0))))))))))))), 2'(1(0(4(0(4(4(3(2(1(4(3(z0)))))))))))), 1'(0(4(0(4(4(3(2(1(4(3(z0))))))))))), 0'(4(0(4(4(3(2(1(4(3(z0)))))))))), 4'(0(4(4(3(2(1(4(3(z0))))))))), 0'(4(4(3(2(1(4(3(z0)))))))), 4'(4(3(2(1(4(3(z0))))))), 4'(3(2(1(4(3(z0)))))), 3'(2(1(4(3(z0))))), 2'(1(4(3(z0)))), 1'(4(3(z0))), 4'(3(z0)), 3'(z0))
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   4'(c_3(c_2(c_3(c_2(c_2(c_1(c_2(c_0(c_3(c_0(c_0(c_0(c_1(c_1(c_3(c_2(c_4(c_3(c_4(z0)))))))))))))))))))) -> c105(1'(3(1(4(0(2(1(0(0(1(3(4(0(3(3(4(2(1(2(1(z0)))))))))))))))))))), 3'(1(4(0(2(1(0(0(1(3(4(0(3(3(4(2(1(2(1(z0))))))))))))))))))), 1'(4(0(2(1(0(0(1(3(4(0(3(3(4(2(1(2(1(z0)))))))))))))))))), 4'(0(2(1(0(0(1(3(4(0(3(3(4(2(1(2(1(z0))))))))))))))))), 0'(2(1(0(0(1(3(4(0(3(3(4(2(1(2(1(z0)))))))))))))))), 2'(1(0(0(1(3(4(0(3(3(4(2(1(2(1(z0))))))))))))))), 1'(0(0(1(3(4(0(3(3(4(2(1(2(1(z0)))))))))))))), 0'(0(1(3(4(0(3(3(4(2(1(2(1(z0))))))))))))), 0'(1(3(4(0(3(3(4(2(1(2(1(z0)))))))))))), 1'(3(4(0(3(3(4(2(1(2(1(z0))))))))))), 3'(4(0(3(3(4(2(1(2(1(z0)))))))))), 4'(0(3(3(4(2(1(2(1(z0))))))))), 0'(3(3(4(2(1(2(1(z0)))))))), 3'(3(4(2(1(2(1(z0))))))), 3'(4(2(1(2(1(z0)))))), 4'(2(1(2(1(z0))))), 2'(1(2(1(z0)))), 1'(2(1(z0))), 2'(1(z0)), 1'(z0))
   4'(c_0(c_2(c_1(c_3(c_3(c_4(c_4(c_0(c_0(c_0(c_3(c_2(c_3(c_4(c_4(c_4(c_3(c_2(c_3(z0)))))))))))))))))))) -> c106(4'(0(2(1(4(0(2(0(0(4(0(4(1(0(2(3(4(4(1(2(z0)))))))))))))))))))), 0'(2(1(4(0(2(0(0(4(0(4(1(0(2(3(4(4(1(2(z0))))))))))))))))))), 2'(1(4(0(2(0(0(4(0(4(1(0(2(3(4(4(1(2(z0)))))))))))))))))), 1'(4(0(2(0(0(4(0(4(1(0(2(3(4(4(1(2(z0))))))))))))))))), 4'(0(2(0(0(4(0(4(1(0(2(3(4(4(1(2(z0)))))))))))))))), 0'(2(0(0(4(0(4(1(0(2(3(4(4(1(2(z0))))))))))))))), 2'(0(0(4(0(4(1(0(2(3(4(4(1(2(z0)))))))))))))), 0'(0(4(0(4(1(0(2(3(4(4(1(2(z0))))))))))))), 0'(4(0(4(1(0(2(3(4(4(1(2(z0)))))))))))), 4'(0(4(1(0(2(3(4(4(1(2(z0))))))))))), 0'(4(1(0(2(3(4(4(1(2(z0)))))))))), 4'(1(0(2(3(4(4(1(2(z0))))))))), 1'(0(2(3(4(4(1(2(z0)))))))), 0'(2(3(4(4(1(2(z0))))))), 2'(3(4(4(1(2(z0)))))), 3'(4(4(1(2(z0))))), 4'(4(1(2(z0)))), 4'(1(2(z0))), 1'(2(z0)), 2'(z0))
   4'(c_1(c_1(c_0(c_3(c_0(c_1(c_3(c_0(c_4(c_4(c_2(c_1(c_2(c_4(c_2(c_0(c_0(c_3(c_0(z0)))))))))))))))))))) -> c107(2'(3(2(0(1(4(4(4(3(2(3(3(1(4(3(4(2(0(1(3(z0)))))))))))))))))))), 3'(2(0(1(4(4(4(3(2(3(3(1(4(3(4(2(0(1(3(z0))))))))))))))))))), 2'(0(1(4(4(4(3(2(3(3(1(4(3(4(2(0(1(3(z0)))))))))))))))))), 0'(1(4(4(4(3(2(3(3(1(4(3(4(2(0(1(3(z0))))))))))))))))), 1'(4(4(4(3(2(3(3(1(4(3(4(2(0(1(3(z0)))))))))))))))), 4'(4(4(3(2(3(3(1(4(3(4(2(0(1(3(z0))))))))))))))), 4'(4(3(2(3(3(1(4(3(4(2(0(1(3(z0)))))))))))))), 4'(3(2(3(3(1(4(3(4(2(0(1(3(z0))))))))))))), 3'(2(3(3(1(4(3(4(2(0(1(3(z0)))))))))))), 2'(3(3(1(4(3(4(2(0(1(3(z0))))))))))), 3'(3(1(4(3(4(2(0(1(3(z0)))))))))), 3'(1(4(3(4(2(0(1(3(z0))))))))), 1'(4(3(4(2(0(1(3(z0)))))))), 4'(3(4(2(0(1(3(z0))))))), 3'(4(2(0(1(3(z0)))))), 4'(2(0(1(3(z0))))), 2'(0(1(3(z0)))), 0'(1(3(z0))), 1'(3(z0)), 3'(z0))
   4'(c_3(c_3(c_2(c_2(c_1(c_3(c_4(c_4(c_2(c_4(c_2(c_3(c_0(c_0(c_2(c_2(c_3(c_2(c_4(z0)))))))))))))))))))) -> c108(3'(2(2(1(1(0(2(2(4(0(0(0(2(1(3(1(0(4(3(4(z0)))))))))))))))))))), 2'(2(1(1(0(2(2(4(0(0(0(2(1(3(1(0(4(3(4(z0))))))))))))))))))), 2'(1(1(0(2(2(4(0(0(0(2(1(3(1(0(4(3(4(z0)))))))))))))))))), 1'(1(0(2(2(4(0(0(0(2(1(3(1(0(4(3(4(z0))))))))))))))))), 1'(0(2(2(4(0(0(0(2(1(3(1(0(4(3(4(z0)))))))))))))))), 0'(2(2(4(0(0(0(2(1(3(1(0(4(3(4(z0))))))))))))))), 2'(2(4(0(0(0(2(1(3(1(0(4(3(4(z0)))))))))))))), 2'(4(0(0(0(2(1(3(1(0(4(3(4(z0))))))))))))), 4'(0(0(0(2(1(3(1(0(4(3(4(z0)))))))))))), 0'(0(0(2(1(3(1(0(4(3(4(z0))))))))))), 0'(0(2(1(3(1(0(4(3(4(z0)))))))))), 0'(2(1(3(1(0(4(3(4(z0))))))))), 2'(1(3(1(0(4(3(4(z0)))))))), 1'(3(1(0(4(3(4(z0))))))), 3'(1(0(4(3(4(z0)))))), 1'(0(4(3(4(z0))))), 0'(4(3(4(z0)))), 4'(3(4(z0))), 3'(4(z0)), 4'(z0))
   4'(c_1(c_0(c_2(c_0(c_3(c_2(c_1(c_1(c_3(c_1(c_1(c_0(c_1(c_1(c_2(c_0(c_0(c_4(c_4(z0)))))))))))))))))))) -> c109(2'(1(4(2(2(2(2(2(2(2(0(1(0(3(1(0(1(1(4(0(z0)))))))))))))))))))), 1'(4(2(2(2(2(2(2(2(0(1(0(3(1(0(1(1(4(0(z0))))))))))))))))))), 4'(2(2(2(2(2(2(2(0(1(0(3(1(0(1(1(4(0(z0)))))))))))))))))), 2'(2(2(2(2(2(2(0(1(0(3(1(0(1(1(4(0(z0))))))))))))))))), 2'(2(2(2(2(2(0(1(0(3(1(0(1(1(4(0(z0)))))))))))))))), 2'(2(2(2(2(0(1(0(3(1(0(1(1(4(0(z0))))))))))))))), 2'(2(2(2(0(1(0(3(1(0(1(1(4(0(z0)))))))))))))), 2'(2(2(0(1(0(3(1(0(1(1(4(0(z0))))))))))))), 2'(2(0(1(0(3(1(0(1(1(4(0(z0)))))))))))), 2'(0(1(0(3(1(0(1(1(4(0(z0))))))))))), 0'(1(0(3(1(0(1(1(4(0(z0)))))))))), 1'(0(3(1(0(1(1(4(0(z0))))))))), 0'(3(1(0(1(1(4(0(z0)))))))), 3'(1(0(1(1(4(0(z0))))))), 1'(0(1(1(4(0(z0)))))), 0'(1(1(4(0(z0))))), 1'(1(4(0(z0)))), 1'(4(0(z0))), 4'(0(z0)), 0'(z0))
   4'(c_1(c_1(c_1(c_2(c_2(c_3(c_3(c_3(c_4(c_4(c_0(c_2(c_0(c_2(c_1(c_0(c_1(c_0(c_0(z0)))))))))))))))))))) -> c110(1'(1(0(3(4(0(2(3(1(4(2(4(1(0(4(0(3(1(1(4(z0)))))))))))))))))))), 1'(0(3(4(0(2(3(1(4(2(4(1(0(4(0(3(1(1(4(z0))))))))))))))))))), 0'(3(4(0(2(3(1(4(2(4(1(0(4(0(3(1(1(4(z0)))))))))))))))))), 3'(4(0(2(3(1(4(2(4(1(0(4(0(3(1(1(4(z0))))))))))))))))), 4'(0(2(3(1(4(2(4(1(0(4(0(3(1(1(4(z0)))))))))))))))), 0'(2(3(1(4(2(4(1(0(4(0(3(1(1(4(z0))))))))))))))), 2'(3(1(4(2(4(1(0(4(0(3(1(1(4(z0)))))))))))))), 3'(1(4(2(4(1(0(4(0(3(1(1(4(z0))))))))))))), 1'(4(2(4(1(0(4(0(3(1(1(4(z0)))))))))))), 4'(2(4(1(0(4(0(3(1(1(4(z0))))))))))), 2'(4(1(0(4(0(3(1(1(4(z0)))))))))), 4'(1(0(4(0(3(1(1(4(z0))))))))), 1'(0(4(0(3(1(1(4(z0)))))))), 0'(4(0(3(1(1(4(z0))))))), 4'(0(3(1(1(4(z0)))))), 0'(3(1(1(4(z0))))), 3'(1(1(4(z0)))), 1'(1(4(z0))), 1'(4(z0)), 4'(z0))
   4'(c_4(c_1(c_1(c_2(c_0(c_1(c_0(c_2(c_2(c_1(c_0(c_0(c_1(c_0(c_0(c_1(c_1(c_3(c_2(z0)))))))))))))))))))) -> c111(3'(1(4(1(4(4(3(1(2(3(3(2(1(3(3(1(1(3(2(4(z0)))))))))))))))))))), 1'(4(1(4(4(3(1(2(3(3(2(1(3(3(1(1(3(2(4(z0))))))))))))))))))), 4'(1(4(4(3(1(2(3(3(2(1(3(3(1(1(3(2(4(z0)))))))))))))))))), 1'(4(4(3(1(2(3(3(2(1(3(3(1(1(3(2(4(z0))))))))))))))))), 4'(4(3(1(2(3(3(2(1(3(3(1(1(3(2(4(z0)))))))))))))))), 4'(3(1(2(3(3(2(1(3(3(1(1(3(2(4(z0))))))))))))))), 3'(1(2(3(3(2(1(3(3(1(1(3(2(4(z0)))))))))))))), 1'(2(3(3(2(1(3(3(1(1(3(2(4(z0))))))))))))), 2'(3(3(2(1(3(3(1(1(3(2(4(z0)))))))))))), 3'(3(2(1(3(3(1(1(3(2(4(z0))))))))))), 3'(2(1(3(3(1(1(3(2(4(z0)))))))))), 2'(1(3(3(1(1(3(2(4(z0))))))))), 1'(3(3(1(1(3(2(4(z0)))))))), 3'(3(1(1(3(2(4(z0))))))), 3'(1(1(3(2(4(z0)))))), 1'(1(3(2(4(z0))))), 1'(3(2(4(z0)))), 3'(2(4(z0))), 2'(4(z0)), 4'(z0))
   4'(c_4(c_3(c_4(c_4(c_2(c_4(c_1(c_1(c_0(c_2(c_3(c_1(c_0(c_3(c_1(c_2(c_2(c_4(c_0(z0)))))))))))))))))))) -> c112(1'(2(1(1(1(2(4(1(4(3(1(4(1(4(3(2(0(4(2(2(z0)))))))))))))))))))), 2'(1(1(1(2(4(1(4(3(1(4(1(4(3(2(0(4(2(2(z0))))))))))))))))))), 1'(1(1(2(4(1(4(3(1(4(1(4(3(2(0(4(2(2(z0)))))))))))))))))), 1'(1(2(4(1(4(3(1(4(1(4(3(2(0(4(2(2(z0))))))))))))))))), 1'(2(4(1(4(3(1(4(1(4(3(2(0(4(2(2(z0)))))))))))))))), 2'(4(1(4(3(1(4(1(4(3(2(0(4(2(2(z0))))))))))))))), 4'(1(4(3(1(4(1(4(3(2(0(4(2(2(z0)))))))))))))), 1'(4(3(1(4(1(4(3(2(0(4(2(2(z0))))))))))))), 4'(3(1(4(1(4(3(2(0(4(2(2(z0)))))))))))), 3'(1(4(1(4(3(2(0(4(2(2(z0))))))))))), 1'(4(1(4(3(2(0(4(2(2(z0)))))))))), 4'(1(4(3(2(0(4(2(2(z0))))))))), 1'(4(3(2(0(4(2(2(z0)))))))), 4'(3(2(0(4(2(2(z0))))))), 3'(2(0(4(2(2(z0)))))), 2'(0(4(2(2(z0))))), 0'(4(2(2(z0)))), 4'(2(2(z0))), 2'(2(z0)), 2'(z0))
   4'(c_0(c_4(c_3(c_0(c_0(c_2(c_1(c_2(c_2(c_0(c_3(c_0(c_3(c_1(c_1(c_1(c_3(c_3(c_3(z0)))))))))))))))))))) -> c113(4'(1(2(1(1(2(2(1(1(2(0(1(0(2(4(4(1(1(1(0(z0)))))))))))))))))))), 1'(2(1(1(2(2(1(1(2(0(1(0(2(4(4(1(1(1(0(z0))))))))))))))))))), 2'(1(1(2(2(1(1(2(0(1(0(2(4(4(1(1(1(0(z0)))))))))))))))))), 1'(1(2(2(1(1(2(0(1(0(2(4(4(1(1(1(0(z0))))))))))))))))), 1'(2(2(1(1(2(0(1(0(2(4(4(1(1(1(0(z0)))))))))))))))), 2'(2(1(1(2(0(1(0(2(4(4(1(1(1(0(z0))))))))))))))), 2'(1(1(2(0(1(0(2(4(4(1(1(1(0(z0)))))))))))))), 1'(1(2(0(1(0(2(4(4(1(1(1(0(z0))))))))))))), 1'(2(0(1(0(2(4(4(1(1(1(0(z0)))))))))))), 2'(0(1(0(2(4(4(1(1(1(0(z0))))))))))), 0'(1(0(2(4(4(1(1(1(0(z0)))))))))), 1'(0(2(4(4(1(1(1(0(z0))))))))), 0'(2(4(4(1(1(1(0(z0)))))))), 2'(4(4(1(1(1(0(z0))))))), 4'(4(1(1(1(0(z0)))))), 4'(1(1(1(0(z0))))), 1'(1(1(0(z0)))), 1'(1(0(z0))), 1'(0(z0)), 0'(z0))
K tuples:none
Defined Rule Symbols:   encArg_1, 0_1, 1_1, 2_1, 3_1, 4_1

Defined Pair Symbols:   ENCARG_1, 0'_1, 1'_1, 2'_1, 3'_1, 4'_1, ENCODE_0_1, ENCODE_1_1, ENCODE_2_1, ENCODE_3_1, ENCODE_4_1

Compound Symbols:   c_2, c1_2, c2_2, c3_2, c4_2, c11_20, c12_20, c13_20, c14_20, c15_20, c16_20, c17_20, c18_20, c19_20, c20_20, c21_20, c22_20, c23_20, c24_20, c25_20, c26_20, c27_20, c28_20, c29_20, c30_20, c32_20, c33_20, c34_20, c35_20, c36_20, c37_20, c38_20, c39_20, c40_20, c41_20, c42_20, c44_20, c45_20, c46_20, c47_20, c48_20, c49_20, c50_20, c51_20, c52_20, c53_20, c54_20, c55_20, c56_20, c57_20, c58_20, c59_20, c60_20, c61_20, c62_20, c63_20, c65_20, c66_20, c67_20, c68_20, c69_20, c70_20, c71_20, c72_20, c73_20, c74_20, c75_20, c76_20, c77_20, c78_20, c79_20, c80_20, c81_20, c82_20, c83_20, c84_20, c85_20, c86_20, c87_20, c88_20, c90_20, c91_20, c92_20, c93_20, c94_20, c95_20, c96_20, c97_20, c98_20, c99_20, c100_20, c101_20, c102_20, c103_20, c104_20, c105_20, c106_20, c107_20, c108_20, c109_20, c110_20, c111_20, c112_20, c113_20, c10_1


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

(47) CdtNarrowingProof (BOTH BOUNDS(ID, ID))
Use narrowing to replace ENCARG(cons_0(z0)) -> c(0'(encArg(z0)), ENCARG(z0)) by 
   ENCARG(cons_0(cons_0(z0))) -> c(0'(0(encArg(z0))), ENCARG(cons_0(z0)))
   ENCARG(cons_0(cons_1(z0))) -> c(0'(1(encArg(z0))), ENCARG(cons_1(z0)))
   ENCARG(cons_0(cons_2(z0))) -> c(0'(2(encArg(z0))), ENCARG(cons_2(z0)))
   ENCARG(cons_0(cons_3(z0))) -> c(0'(3(encArg(z0))), ENCARG(cons_3(z0)))
   ENCARG(cons_0(cons_4(z0))) -> c(0'(4(encArg(z0))), ENCARG(cons_4(z0)))

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

(48)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(cons_0(z0)) -> 0(encArg(z0))
   encArg(cons_1(z0)) -> 1(encArg(z0))
   encArg(cons_2(z0)) -> 2(encArg(z0))
   encArg(cons_3(z0)) -> 3(encArg(z0))
   encArg(cons_4(z0)) -> 4(encArg(z0))
   0(z0) -> c_0(z0)
   0(c_4(c_4(c_4(c_0(c_2(c_2(c_1(c_3(c_2(c_1(c_0(c_4(c_1(c_3(c_0(c_1(c_3(c_4(c_4(z0)))))))))))))))))))) -> 3(2(3(0(1(2(2(3(1(4(0(4(1(1(1(4(2(2(1(1(z0))))))))))))))))))))
   0(c_1(c_4(c_2(c_3(c_1(c_1(c_2(c_3(c_2(c_3(c_1(c_0(c_1(c_0(c_2(c_0(c_2(c_3(c_2(z0)))))))))))))))))))) -> 3(1(3(2(0(4(1(3(2(1(0(4(0(4(4(3(2(1(4(3(z0))))))))))))))))))))
   0(c_3(c_0(c_0(c_1(c_1(c_4(c_3(c_4(c_3(c_0(c_4(c_2(c_1(c_4(c_3(c_4(c_2(c_1(c_2(z0)))))))))))))))))))) -> 1(4(0(1(2(2(2(3(4(4(2(4(2(2(1(3(1(4(2(4(z0))))))))))))))))))))
   0(c_0(c_0(c_0(c_1(c_0(c_2(c_2(c_3(c_2(c_1(c_1(c_0(c_3(c_2(c_1(c_1(c_1(c_2(c_4(z0)))))))))))))))))))) -> 0(3(2(3(3(2(1(4(2(2(2(1(0(0(2(0(1(2(2(4(z0))))))))))))))))))))
   0(c_2(c_1(c_4(c_2(c_4(c_3(c_4(c_0(c_0(c_3(c_0(c_2(c_4(c_1(c_4(c_4(c_0(c_1(c_1(z0)))))))))))))))))))) -> 4(4(3(3(1(4(0(3(2(3(3(1(4(0(1(2(1(4(1(0(z0))))))))))))))))))))
   0(c_0(c_4(c_0(c_2(c_1(c_4(c_1(c_4(c_0(c_1(c_2(c_0(c_0(c_4(c_1(c_0(c_3(c_2(c_1(z0)))))))))))))))))))) -> 2(3(3(3(1(3(2(4(2(1(1(3(0(2(1(2(3(4(2(1(z0))))))))))))))))))))
   0(c_1(c_4(c_3(c_4(c_0(c_1(c_0(c_2(c_3(c_4(c_0(c_3(c_4(c_2(c_0(c_1(c_4(c_0(c_3(z0)))))))))))))))))))) -> 0(3(3(4(2(1(0(1(3(3(0(3(2(4(1(3(2(3(1(4(z0))))))))))))))))))))
   0(c_0(c_2(c_2(c_2(c_1(c_2(c_3(c_0(c_2(c_0(c_4(c_4(c_0(c_3(c_3(c_3(c_0(c_0(c_3(z0)))))))))))))))))))) -> 0(0(0(3(3(1(1(1(4(4(1(4(3(3(0(3(3(2(4(3(z0))))))))))))))))))))
   0(c_4(c_4(c_1(c_1(c_0(c_1(c_4(c_1(c_1(c_1(c_4(c_0(c_1(c_0(c_0(c_4(c_1(c_4(c_3(z0)))))))))))))))))))) -> 2(2(1(0(2(2(3(4(2(1(2(0(3(0(3(3(1(1(4(2(z0))))))))))))))))))))
   0(c_2(c_0(c_1(c_2(c_0(c_3(c_1(c_2(c_1(c_3(c_3(c_1(c_3(c_2(c_0(c_0(c_4(c_2(c_1(z0)))))))))))))))))))) -> 1(2(2(0(4(4(0(3(1(4(1(3(4(3(3(4(4(4(2(1(z0))))))))))))))))))))
   0(c_3(c_2(c_0(c_1(c_4(c_3(c_0(c_2(c_4(c_0(c_2(c_0(c_0(c_1(c_4(c_4(c_2(c_4(c_4(z0)))))))))))))))))))) -> 4(0(0(0(4(4(2(1(3(1(0(1(2(2(2(4(4(4(2(3(z0))))))))))))))))))))
   0(c_2(c_1(c_4(c_4(c_4(c_3(c_4(c_2(c_1(c_1(c_0(c_0(c_1(c_4(c_4(c_2(c_0(c_3(c_4(z0)))))))))))))))))))) -> 1(0(1(4(2(1(0(2(4(4(4(0(1(1(3(1(3(4(3(1(z0))))))))))))))))))))
   0(c_4(c_1(c_1(c_1(c_2(c_1(c_4(c_3(c_2(c_4(c_4(c_2(c_2(c_4(c_2(c_0(c_4(c_1(c_1(z0)))))))))))))))))))) -> 2(1(1(4(2(2(3(1(3(1(2(2(2(4(1(3(3(4(3(0(z0))))))))))))))))))))
   0(c_4(c_4(c_3(c_2(c_0(c_4(c_1(c_0(c_4(c_3(c_1(c_1(c_0(c_2(c_1(c_1(c_3(c_2(c_1(z0)))))))))))))))))))) -> 2(1(2(2(1(2(3(2(1(2(4(2(4(2(3(2(3(4(4(1(z0))))))))))))))))))))
   0(c_2(c_4(c_3(c_1(c_4(c_0(c_3(c_3(c_4(c_4(c_2(c_2(c_4(c_4(c_0(c_4(c_1(c_0(c_0(z0)))))))))))))))))))) -> 4(2(1(0(1(3(3(4(0(0(2(3(3(4(3(1(4(1(0(4(z0))))))))))))))))))))
   0(c_1(c_4(c_0(c_3(c_1(c_3(c_3(c_0(c_3(c_1(c_4(c_4(c_1(c_1(c_1(c_4(c_0(c_4(c_0(z0)))))))))))))))))))) -> 3(2(0(3(2(4(3(4(4(2(1(0(1(4(1(3(1(4(4(4(z0))))))))))))))))))))
   0(c_2(c_3(c_4(c_2(c_2(c_4(c_4(c_1(c_0(c_3(c_2(c_2(c_4(c_2(c_2(c_3(c_1(c_1(c_4(z0)))))))))))))))))))) -> 1(3(1(4(0(3(1(1(4(3(3(2(2(1(2(0(2(0(3(4(z0))))))))))))))))))))
   0(c_1(c_4(c_1(c_3(c_1(c_0(c_2(c_4(c_1(c_3(c_0(c_4(c_3(c_1(c_3(c_1(c_1(c_1(c_0(z0)))))))))))))))))))) -> 3(2(1(1(4(1(2(1(4(0(2(1(1(4(4(0(1(2(2(1(z0))))))))))))))))))))
   0(c_1(c_3(c_0(c_2(c_4(c_3(c_0(c_3(c_1(c_0(c_2(c_4(c_2(c_2(c_0(c_3(c_4(c_1(c_1(z0)))))))))))))))))))) -> 4(0(2(4(3(1(3(1(0(2(3(3(2(1(0(4(4(1(2(1(z0))))))))))))))))))))
   0(c_2(c_1(c_2(c_1(c_0(c_2(c_3(c_0(c_0(c_4(c_2(c_3(c_1(c_4(c_0(c_3(c_1(c_3(c_1(z0)))))))))))))))))))) -> 3(1(2(3(4(3(0(2(2(2(1(2(2(3(4(2(1(4(3(1(z0))))))))))))))))))))
   1(z0) -> c_1(z0)
   1(c_0(c_0(c_4(c_0(c_0(c_1(c_2(c_3(c_0(c_1(c_4(c_1(c_3(c_0(c_2(c_1(c_4(c_0(c_0(z0)))))))))))))))))))) -> 4(1(2(4(1(3(3(4(3(3(3(1(2(2(4(1(0(3(3(1(z0))))))))))))))))))))
   1(c_1(c_0(c_2(c_4(c_4(c_4(c_1(c_2(c_4(c_4(c_1(c_0(c_4(c_2(c_2(c_1(c_3(c_0(c_3(z0)))))))))))))))))))) -> 2(1(1(1(1(3(3(4(3(1(1(4(4(2(1(3(1(0(0(3(z0))))))))))))))))))))
   1(c_4(c_1(c_3(c_0(c_1(c_1(c_1(c_1(c_0(c_4(c_0(c_0(c_3(c_0(c_3(c_2(c_4(c_3(c_4(z0)))))))))))))))))))) -> 1(4(4(0(4(0(0(2(4(0(4(3(2(1(2(4(2(4(3(1(z0))))))))))))))))))))
   1(c_4(c_2(c_4(c_4(c_3(c_3(c_4(c_3(c_3(c_4(c_1(c_4(c_1(c_2(c_3(c_4(c_1(c_1(c_2(z0)))))))))))))))))))) -> 3(2(2(0(3(0(2(2(1(2(1(0(3(4(1(3(1(2(1(2(z0))))))))))))))))))))
   1(c_0(c_0(c_0(c_3(c_2(c_4(c_3(c_1(c_2(c_3(c_0(c_2(c_4(c_1(c_0(c_1(c_2(c_4(c_2(z0)))))))))))))))))))) -> 2(0(0(4(4(1(4(3(2(1(3(1(3(0(4(1(1(4(0(2(z0))))))))))))))))))))
   1(c_4(c_1(c_2(c_3(c_0(c_0(c_2(c_3(c_4(c_1(c_4(c_0(c_2(c_0(c_4(c_1(c_1(c_2(c_0(z0)))))))))))))))))))) -> 4(3(1(2(1(4(4(3(4(3(2(2(1(3(2(1(3(4(1(4(z0))))))))))))))))))))
   1(c_3(c_4(c_3(c_0(c_3(c_1(c_4(c_3(c_2(c_4(c_0(c_1(c_0(c_0(c_1(c_3(c_3(c_1(c_1(z0)))))))))))))))))))) -> 1(2(2(4(3(1(4(4(3(1(1(0(3(3(0(3(0(1(0(4(z0))))))))))))))))))))
   1(c_2(c_4(c_4(c_0(c_0(c_4(c_3(c_0(c_2(c_2(c_3(c_0(c_0(c_4(c_4(c_3(c_3(c_3(c_2(z0)))))))))))))))))))) -> 4(2(3(2(1(0(4(3(3(1(3(3(1(4(2(0(0(1(4(3(z0))))))))))))))))))))
   1(c_0(c_1(c_1(c_3(c_3(c_0(c_2(c_0(c_2(c_2(c_1(c_0(c_4(c_1(c_0(c_4(c_3(c_1(c_4(z0)))))))))))))))))))) -> 1(2(4(1(0(0(0(1(4(2(0(0(4(4(4(1(4(3(1(4(z0))))))))))))))))))))
   1(c_2(c_0(c_3(c_1(c_0(c_2(c_0(c_4(c_1(c_4(c_4(c_2(c_4(c_0(c_4(c_3(c_4(c_4(c_3(z0)))))))))))))))))))) -> 2(1(4(4(4(1(4(1(1(2(4(1(1(2(2(1(1(0(0(0(z0))))))))))))))))))))
   1(c_4(c_2(c_3(c_1(c_4(c_2(c_2(c_0(c_4(c_2(c_3(c_0(c_1(c_3(c_2(c_1(c_3(c_3(c_4(z0)))))))))))))))))))) -> 1(4(1(3(4(3(0(1(4(0(2(1(0(1(1(0(3(1(2(2(z0))))))))))))))))))))
   2(z0) -> c_2(z0)
   2(c_1(c_3(c_3(c_4(c_1(c_4(c_0(c_4(c_0(c_3(c_0(c_0(c_2(c_4(c_1(c_4(c_0(c_0(c_3(z0)))))))))))))))))))) -> 1(0(0(4(3(3(0(3(2(2(4(3(2(2(1(1(3(1(4(1(z0))))))))))))))))))))
   2(c_4(c_2(c_3(c_0(c_2(c_3(c_2(c_2(c_3(c_2(c_1(c_0(c_3(c_4(c_1(c_3(c_1(c_0(c_1(z0)))))))))))))))))))) -> 1(3(0(4(4(1(3(2(1(0(2(4(1(0(2(2(0(4(4(1(z0))))))))))))))))))))
   2(c_2(c_2(c_0(c_0(c_0(c_3(c_4(c_4(c_0(c_2(c_1(c_2(c_0(c_0(c_2(c_0(c_3(c_0(c_0(z0)))))))))))))))))))) -> 4(2(3(4(0(4(2(1(0(3(1(1(1(3(0(0(3(1(2(0(z0))))))))))))))))))))
   2(c_0(c_0(c_3(c_3(c_1(c_0(c_4(c_2(c_3(c_1(c_2(c_3(c_0(c_4(c_1(c_3(c_0(c_4(c_4(z0)))))))))))))))))))) -> 4(0(3(4(3(3(1(2(1(4(1(4(4(3(0(3(0(1(0(0(z0))))))))))))))))))))
   2(c_3(c_0(c_4(c_0(c_2(c_4(c_4(c_4(c_2(c_1(c_2(c_0(c_3(c_2(c_2(c_1(c_1(c_3(c_0(z0)))))))))))))))))))) -> 2(1(1(1(4(4(1(1(4(0(2(3(2(4(1(0(2(4(2(1(z0))))))))))))))))))))
   2(c_4(c_3(c_4(c_4(c_4(c_4(c_3(c_2(c_4(c_4(c_2(c_3(c_3(c_1(c_1(c_0(c_4(c_2(c_2(z0)))))))))))))))))))) -> 4(1(4(3(4(2(2(1(2(1(4(4(3(1(0(4(3(4(0(0(z0))))))))))))))))))))
   2(c_2(c_3(c_3(c_0(c_2(c_0(c_3(c_0(c_1(c_4(c_3(c_2(c_2(c_1(c_0(c_2(c_2(c_4(c_4(z0)))))))))))))))))))) -> 4(1(2(4(2(1(4(2(2(0(3(0(1(4(1(2(4(3(4(0(z0))))))))))))))))))))
   2(c_3(c_0(c_4(c_1(c_3(c_1(c_3(c_0(c_0(c_1(c_1(c_1(c_1(c_2(c_3(c_1(c_4(c_2(c_1(z0)))))))))))))))))))) -> 1(0(2(2(2(3(3(1(0(4(3(1(4(2(2(1(1(0(3(1(z0))))))))))))))))))))
   2(c_0(c_0(c_0(c_0(c_1(c_4(c_4(c_3(c_1(c_3(c_3(c_2(c_2(c_1(c_4(c_4(c_2(c_3(c_1(z0)))))))))))))))))))) -> 2(4(1(0(1(4(3(1(2(2(2(1(1(1(3(4(4(0(1(2(z0))))))))))))))))))))
   2(c_3(c_0(c_2(c_4(c_0(c_1(c_0(c_3(c_4(c_3(c_3(c_1(c_4(c_1(c_0(c_4(c_3(c_2(c_2(z0)))))))))))))))))))) -> 3(1(3(1(2(2(0(4(1(3(1(1(4(2(3(4(4(4(4(4(z0))))))))))))))))))))
   2(c_2(c_3(c_3(c_1(c_3(c_1(c_2(c_0(c_0(c_4(c_3(c_4(c_2(c_2(c_0(c_2(c_2(c_4(c_0(z0)))))))))))))))))))) -> 2(1(2(0(4(4(1(0(2(4(1(3(2(1(3(1(0(2(3(3(z0))))))))))))))))))))
   2(c_1(c_1(c_3(c_2(c_4(c_3(c_0(c_1(c_4(c_2(c_0(c_3(c_1(c_2(c_0(c_4(c_0(c_3(c_2(z0)))))))))))))))))))) -> 2(2(1(0(4(2(0(1(3(0(4(1(2(4(4(3(2(2(1(2(z0))))))))))))))))))))
   2(c_0(c_4(c_3(c_4(c_4(c_2(c_1(c_0(c_0(c_2(c_4(c_4(c_2(c_1(c_1(c_1(c_1(c_1(c_4(z0)))))))))))))))))))) -> 0(4(0(1(2(2(1(4(2(1(4(3(0(4(3(4(1(1(3(1(z0))))))))))))))))))))
   2(c_3(c_3(c_3(c_4(c_0(c_4(c_1(c_0(c_2(c_2(c_4(c_2(c_4(c_1(c_1(c_3(c_3(c_4(c_1(z0)))))))))))))))))))) -> 4(2(1(4(1(0(3(1(4(4(3(3(0(1(3(1(2(4(3(0(z0))))))))))))))))))))
   2(c_0(c_1(c_4(c_4(c_3(c_3(c_4(c_2(c_3(c_1(c_3(c_1(c_1(c_3(c_0(c_4(c_1(c_3(c_2(z0)))))))))))))))))))) -> 2(1(4(3(1(0(3(1(4(4(4(2(2(0(0(4(2(0(2(2(z0))))))))))))))))))))
   2(c_2(c_4(c_1(c_0(c_3(c_0(c_4(c_2(c_4(c_3(c_3(c_4(c_3(c_3(c_1(c_0(c_1(c_0(c_0(z0)))))))))))))))))))) -> 0(4(3(4(1(0(3(4(4(4(3(0(4(0(1(2(1(3(1(4(z0))))))))))))))))))))
   2(c_3(c_4(c_4(c_0(c_0(c_4(c_4(c_4(c_3(c_3(c_0(c_4(c_2(c_2(c_3(c_0(c_0(c_1(c_3(z0)))))))))))))))))))) -> 0(2(0(4(3(3(2(1(4(4(1(2(0(1(2(4(3(3(4(1(z0))))))))))))))))))))
   2(c_3(c_1(c_3(c_2(c_1(c_4(c_1(c_0(c_2(c_4(c_2(c_0(c_0(c_2(c_3(c_4(c_4(c_3(c_2(z0)))))))))))))))))))) -> 4(1(1(4(3(2(3(1(4(1(4(4(1(3(1(2(3(4(4(1(z0))))))))))))))))))))
   2(c_3(c_2(c_4(c_2(c_1(c_0(c_0(c_2(c_4(c_3(c_4(c_1(c_1(c_3(c_2(c_4(c_2(c_1(c_2(z0)))))))))))))))))))) -> 2(3(2(1(1(0(2(0(1(1(3(2(1(4(3(1(1(0(3(1(z0))))))))))))))))))))
   2(c_0(c_2(c_2(c_1(c_3(c_3(c_2(c_4(c_0(c_1(c_0(c_3(c_1(c_4(c_0(c_0(c_0(c_1(c_3(z0)))))))))))))))))))) -> 1(3(4(2(0(1(1(3(1(3(4(4(2(3(1(0(1(3(1(3(z0))))))))))))))))))))
   3(z0) -> c_3(z0)
   3(c_0(c_3(c_3(c_3(c_4(c_2(c_1(c_4(c_2(c_2(c_3(c_2(c_0(c_4(c_4(c_4(c_1(c_1(c_1(z0)))))))))))))))))))) -> 1(4(3(4(2(2(4(3(2(0(1(4(1(1(3(1(2(1(1(3(z0))))))))))))))))))))
   3(c_1(c_0(c_0(c_1(c_0(c_4(c_4(c_1(c_0(c_1(c_2(c_4(c_0(c_2(c_1(c_3(c_0(c_2(c_0(z0)))))))))))))))))))) -> 4(4(3(2(4(2(1(2(0(0(1(4(2(3(0(0(1(0(1(4(z0))))))))))))))))))))
   3(c_0(c_3(c_0(c_4(c_1(c_3(c_1(c_1(c_0(c_4(c_1(c_2(c_3(c_4(c_1(c_1(c_0(c_1(c_4(z0)))))))))))))))))))) -> 2(0(1(2(4(3(2(1(4(2(4(0(3(2(4(2(3(1(4(1(z0))))))))))))))))))))
   3(c_3(c_0(c_3(c_0(c_4(c_2(c_0(c_1(c_3(c_3(c_4(c_1(c_0(c_3(c_2(c_2(c_1(c_1(c_1(z0)))))))))))))))))))) -> 4(0(1(3(1(2(1(0(1(1(2(3(0(4(3(3(1(3(0(1(z0))))))))))))))))))))
   3(c_3(c_1(c_1(c_2(c_2(c_4(c_2(c_1(c_4(c_3(c_3(c_4(c_3(c_1(c_0(c_0(c_2(c_1(c_1(z0)))))))))))))))))))) -> 2(2(2(0(3(1(1(1(4(1(0(3(1(2(1(4(1(3(1(1(z0))))))))))))))))))))
   3(c_2(c_0(c_0(c_1(c_4(c_1(c_0(c_3(c_3(c_0(c_3(c_0(c_1(c_4(c_1(c_3(c_3(c_2(c_1(z0)))))))))))))))))))) -> 1(2(2(2(1(1(4(3(0(3(2(2(4(2(1(4(4(3(1(4(z0))))))))))))))))))))
   3(c_3(c_4(c_1(c_1(c_4(c_4(c_3(c_1(c_0(c_1(c_3(c_0(c_0(c_3(c_1(c_3(c_3(c_2(c_0(z0)))))))))))))))))))) -> 2(1(4(1(1(1(4(2(4(2(4(1(3(4(2(3(3(2(2(4(z0))))))))))))))))))))
   3(c_4(c_1(c_4(c_3(c_2(c_2(c_4(c_1(c_1(c_4(c_4(c_2(c_3(c_0(c_1(c_1(c_3(c_0(c_1(z0)))))))))))))))))))) -> 4(1(4(0(1(4(1(2(2(4(2(2(1(2(2(1(1(1(3(2(z0))))))))))))))))))))
   3(c_4(c_2(c_4(c_2(c_0(c_3(c_4(c_2(c_4(c_3(c_1(c_4(c_3(c_4(c_0(c_4(c_4(c_3(c_1(z0)))))))))))))))))))) -> 3(4(1(3(2(3(3(4(4(1(1(3(1(3(3(1(1(4(1(0(z0))))))))))))))))))))
   3(c_2(c_1(c_0(c_2(c_3(c_1(c_2(c_3(c_2(c_0(c_1(c_0(c_3(c_0(c_0(c_1(c_4(c_2(c_1(z0)))))))))))))))))))) -> 1(3(1(4(1(1(1(4(0(0(2(1(0(4(1(2(2(3(1(1(z0))))))))))))))))))))
   3(c_1(c_0(c_0(c_0(c_4(c_0(c_4(c_3(c_0(c_2(c_4(c_3(c_3(c_3(c_1(c_1(c_3(c_0(c_1(z0)))))))))))))))))))) -> 4(2(4(2(0(1(2(3(4(1(0(3(1(2(2(0(4(4(2(4(z0))))))))))))))))))))
   3(c_4(c_2(c_1(c_4(c_1(c_3(c_4(c_3(c_4(c_2(c_0(c_2(c_2(c_4(c_3(c_0(c_1(c_0(c_1(z0)))))))))))))))))))) -> 4(2(1(4(1(2(2(2(2(2(3(1(0(1(2(4(3(1(2(4(z0))))))))))))))))))))
   3(c_4(c_0(c_0(c_1(c_2(c_0(c_4(c_4(c_4(c_4(c_4(c_1(c_2(c_2(c_4(c_4(c_0(c_3(c_0(z0)))))))))))))))))))) -> 3(2(3(4(1(1(4(3(4(4(1(1(2(2(4(4(0(0(4(0(z0))))))))))))))))))))
   3(c_2(c_4(c_4(c_2(c_0(c_2(c_4(c_4(c_3(c_3(c_1(c_1(c_2(c_4(c_2(c_3(c_4(c_4(c_2(z0)))))))))))))))))))) -> 1(4(1(3(3(2(1(2(3(4(2(4(1(3(0(4(2(1(3(1(z0))))))))))))))))))))
   3(c_4(c_0(c_3(c_1(c_3(c_3(c_3(c_0(c_1(c_3(c_2(c_2(c_3(c_4(c_2(c_2(c_4(c_4(c_2(z0)))))))))))))))))))) -> 0(3(2(1(1(1(3(2(4(0(3(0(3(3(0(2(1(2(1(2(z0))))))))))))))))))))
   3(c_4(c_0(c_0(c_4(c_1(c_4(c_1(c_1(c_0(c_1(c_0(c_1(c_2(c_1(c_3(c_2(c_2(c_3(c_4(z0)))))))))))))))))))) -> 1(3(4(2(1(3(0(1(4(3(1(3(4(0(4(1(2(4(0(2(z0))))))))))))))))))))
   3(c_2(c_2(c_3(c_3(c_0(c_0(c_4(c_4(c_0(c_4(c_4(c_4(c_2(c_3(c_3(c_1(c_1(c_2(c_1(z0)))))))))))))))))))) -> 3(0(3(4(4(4(4(1(4(3(3(0(0(2(3(2(1(2(2(1(z0))))))))))))))))))))
   3(c_2(c_4(c_0(c_0(c_2(c_4(c_0(c_4(c_3(c_4(c_2(c_1(c_1(c_2(c_4(c_3(c_3(c_2(c_1(z0)))))))))))))))))))) -> 0(3(3(4(3(1(4(2(4(3(2(1(4(1(4(0(3(1(4(2(z0))))))))))))))))))))
   3(c_0(c_2(c_2(c_1(c_0(c_0(c_0(c_0(c_0(c_3(c_1(c_0(c_0(c_4(c_3(c_4(c_2(c_2(c_0(z0)))))))))))))))))))) -> 3(2(2(0(0(2(2(4(0(4(3(4(3(0(2(2(3(2(1(0(z0))))))))))))))))))))
   3(c_0(c_3(c_0(c_0(c_1(c_3(c_2(c_4(c_4(c_4(c_0(c_3(c_0(c_1(c_4(c_1(c_2(c_4(c_3(z0)))))))))))))))))))) -> 2(2(3(2(1(0(2(0(0(2(0(4(0(4(0(4(3(2(2(3(z0))))))))))))))))))))
   3(c_4(c_4(c_0(c_0(c_0(c_0(c_3(c_2(c_2(c_2(c_1(c_4(c_4(c_4(c_1(c_2(c_4(c_0(c_3(z0)))))))))))))))))))) -> 1(1(4(0(0(2(0(1(2(2(2(2(0(1(3(1(0(2(0(0(z0))))))))))))))))))))
   3(c_0(c_1(c_4(c_2(c_2(c_1(c_1(c_2(c_4(c_4(c_1(c_1(c_1(c_3(c_1(c_1(c_3(c_3(c_3(z0)))))))))))))))))))) -> 3(3(4(2(1(1(3(1(2(1(2(2(1(3(4(1(4(2(4(2(z0))))))))))))))))))))
   3(c_1(c_4(c_4(c_1(c_4(c_3(c_4(c_0(c_3(c_0(c_2(c_0(c_3(c_2(c_1(c_2(c_3(c_2(c_4(z0)))))))))))))))))))) -> 2(0(3(1(2(3(1(2(1(2(1(3(3(4(2(0(0(2(2(1(z0))))))))))))))))))))
   3(c_3(c_3(c_4(c_2(c_3(c_3(c_0(c_1(c_3(c_4(c_4(c_4(c_0(c_4(c_2(c_2(c_4(c_0(c_2(z0)))))))))))))))))))) -> 3(4(3(4(1(3(4(2(2(2(2(0(4(1(3(3(1(1(4(4(z0))))))))))))))))))))
   4(z0) -> c_4(z0)
   4(c_1(c_3(c_2(c_2(c_4(c_4(c_2(c_0(c_0(c_3(c_2(c_3(c_1(c_1(c_3(c_2(c_3(c_3(c_1(z0)))))))))))))))))))) -> 3(2(1(2(1(3(2(1(3(2(3(2(1(1(2(1(2(3(4(3(z0))))))))))))))))))))
   4(c_0(c_3(c_0(c_3(c_1(c_1(c_2(c_0(c_4(c_3(c_0(c_4(c_3(c_1(c_0(c_0(c_4(c_2(c_4(z0)))))))))))))))))))) -> 2(4(4(4(4(2(2(2(2(4(3(2(2(3(4(1(2(0(1(3(z0))))))))))))))))))))
   4(c_3(c_4(c_3(c_4(c_4(c_3(c_0(c_3(c_3(c_2(c_2(c_3(c_1(c_3(c_2(c_2(c_3(c_4(c_1(z0)))))))))))))))))))) -> 4(1(0(0(4(3(4(1(2(4(3(3(2(1(3(4(1(0(3(1(z0))))))))))))))))))))
   4(c_4(c_0(c_4(c_4(c_1(c_0(c_3(c_3(c_2(c_0(c_3(c_0(c_1(c_3(c_0(c_3(c_1(c_3(c_3(z0)))))))))))))))))))) -> 2(1(0(3(1(3(1(4(3(3(0(0(1(4(4(1(2(2(3(0(z0))))))))))))))))))))
   4(c_2(c_1(c_2(c_1(c_1(c_2(c_3(c_4(c_2(c_3(c_2(c_1(c_4(c_2(c_2(c_4(c_0(c_3(c_0(z0)))))))))))))))))))) -> 3(1(0(2(1(3(1(2(1(0(2(1(1(3(1(0(4(0(3(4(z0))))))))))))))))))))
   4(c_0(c_2(c_4(c_2(c_1(c_4(c_2(c_4(c_2(c_4(c_1(c_2(c_0(c_1(c_0(c_3(c_0(c_3(c_0(z0)))))))))))))))))))) -> 0(3(1(0(4(1(4(2(3(1(4(4(1(2(0(1(0(0(0(4(z0))))))))))))))))))))
   4(c_3(c_2(c_0(c_1(c_0(c_2(c_2(c_3(c_1(c_4(c_0(c_0(c_3(c_4(c_0(c_0(c_1(c_1(c_2(z0)))))))))))))))))))) -> 3(2(0(3(0(0(4(1(1(4(2(4(1(4(3(1(3(1(4(3(z0))))))))))))))))))))
   4(c_1(c_3(c_4(c_1(c_3(c_0(c_2(c_4(c_3(c_4(c_3(c_3(c_1(c_0(c_2(c_0(c_1(c_2(c_4(z0)))))))))))))))))))) -> 2(0(4(4(1(0(2(2(1(1(4(0(4(0(1(4(0(4(4(3(z0))))))))))))))))))))
   4(c_3(c_1(c_3(c_2(c_2(c_4(c_0(c_1(c_0(c_4(c_0(c_0(c_2(c_1(c_0(c_1(c_4(c_3(c_0(z0)))))))))))))))))))) -> 1(3(1(1(1(1(3(4(4(1(4(4(1(4(0(4(2(4(1(3(z0))))))))))))))))))))
   4(c_1(c_3(c_4(c_2(c_3(c_0(c_4(c_4(c_3(c_3(c_1(c_1(c_3(c_4(c_1(c_1(c_3(c_3(c_0(z0)))))))))))))))))))) -> 2(4(4(4(4(2(2(4(1(0(2(2(4(0(3(2(2(2(2(2(z0))))))))))))))))))))
   4(c_3(c_4(c_4(c_2(c_2(c_3(c_2(c_0(c_4(c_2(c_4(c_2(c_2(c_1(c_4(c_2(c_3(c_3(c_0(z0)))))))))))))))))))) -> 1(2(1(2(1(1(0(4(0(1(1(4(2(1(0(4(1(0(4(3(z0))))))))))))))))))))
   4(c_4(c_3(c_2(c_1(c_2(c_0(c_3(c_0(c_4(c_0(c_2(c_1(c_4(c_4(c_0(c_2(c_1(c_3(c_0(z0)))))))))))))))))))) -> 4(2(4(1(4(2(2(0(1(0(3(1(3(0(1(3(3(2(1(0(z0))))))))))))))))))))
   4(c_1(c_2(c_1(c_0(c_4(c_3(c_1(c_3(c_0(c_2(c_3(c_3(c_4(c_3(c_1(c_0(c_0(c_0(c_4(z0)))))))))))))))))))) -> 3(2(0(2(2(1(2(1(1(2(3(0(1(3(3(3(2(4(1(0(z0))))))))))))))))))))
   4(c_0(c_0(c_3(c_3(c_1(c_0(c_2(c_2(c_0(c_4(c_0(c_4(c_3(c_0(c_0(c_2(c_2(c_1(c_3(z0)))))))))))))))))))) -> 0(0(3(2(1(2(3(2(4(3(1(2(0(2(2(1(1(0(3(1(z0))))))))))))))))))))
   4(c_3(c_4(c_3(c_4(c_4(c_2(c_0(c_4(c_4(c_2(c_0(c_2(c_0(c_4(c_4(c_2(c_2(c_3(c_3(z0)))))))))))))))))))) -> 3(4(0(1(3(0(0(4(3(1(2(2(3(1(3(4(2(2(0(3(z0))))))))))))))))))))
   4(c_3(c_2(c_3(c_2(c_2(c_1(c_2(c_0(c_3(c_0(c_0(c_0(c_1(c_1(c_3(c_2(c_4(c_3(c_4(z0)))))))))))))))))))) -> 1(3(1(4(0(2(1(0(0(1(3(4(0(3(3(4(2(1(2(1(z0))))))))))))))))))))
   4(c_0(c_2(c_1(c_3(c_3(c_4(c_4(c_0(c_0(c_0(c_3(c_2(c_3(c_4(c_4(c_4(c_3(c_2(c_3(z0)))))))))))))))))))) -> 4(0(2(1(4(0(2(0(0(4(0(4(1(0(2(3(4(4(1(2(z0))))))))))))))))))))
   4(c_1(c_1(c_0(c_3(c_0(c_1(c_3(c_0(c_4(c_4(c_2(c_1(c_2(c_4(c_2(c_0(c_0(c_3(c_0(z0)))))))))))))))))))) -> 2(3(2(0(1(4(4(4(3(2(3(3(1(4(3(4(2(0(1(3(z0))))))))))))))))))))
   4(c_3(c_3(c_2(c_2(c_1(c_3(c_4(c_4(c_2(c_4(c_2(c_3(c_0(c_0(c_2(c_2(c_3(c_2(c_4(z0)))))))))))))))))))) -> 3(2(2(1(1(0(2(2(4(0(0(0(2(1(3(1(0(4(3(4(z0))))))))))))))))))))
   4(c_1(c_0(c_2(c_0(c_3(c_2(c_1(c_1(c_3(c_1(c_1(c_0(c_1(c_1(c_2(c_0(c_0(c_4(c_4(z0)))))))))))))))))))) -> 2(1(4(2(2(2(2(2(2(2(0(1(0(3(1(0(1(1(4(0(z0))))))))))))))))))))
   4(c_1(c_1(c_1(c_2(c_2(c_3(c_3(c_3(c_4(c_4(c_0(c_2(c_0(c_2(c_1(c_0(c_1(c_0(c_0(z0)))))))))))))))))))) -> 1(1(0(3(4(0(2(3(1(4(2(4(1(0(4(0(3(1(1(4(z0))))))))))))))))))))
   4(c_4(c_1(c_1(c_2(c_0(c_1(c_0(c_2(c_2(c_1(c_0(c_0(c_1(c_0(c_0(c_1(c_1(c_3(c_2(z0)))))))))))))))))))) -> 3(1(4(1(4(4(3(1(2(3(3(2(1(3(3(1(1(3(2(4(z0))))))))))))))))))))
   4(c_4(c_3(c_4(c_4(c_2(c_4(c_1(c_1(c_0(c_2(c_3(c_1(c_0(c_3(c_1(c_2(c_2(c_4(c_0(z0)))))))))))))))))))) -> 1(2(1(1(1(2(4(1(4(3(1(4(1(4(3(2(0(4(2(2(z0))))))))))))))))))))
   4(c_0(c_4(c_3(c_0(c_0(c_2(c_1(c_2(c_2(c_0(c_3(c_0(c_3(c_1(c_1(c_1(c_3(c_3(c_3(z0)))))))))))))))))))) -> 4(1(2(1(1(2(2(1(1(2(0(1(0(2(4(4(1(1(1(0(z0))))))))))))))))))))
Tuples:
   ENCARG(cons_1(z0)) -> c1(1'(encArg(z0)), ENCARG(z0))
   ENCARG(cons_2(z0)) -> c2(2'(encArg(z0)), ENCARG(z0))
   ENCARG(cons_3(z0)) -> c3(3'(encArg(z0)), ENCARG(z0))
   ENCARG(cons_4(z0)) -> c4(4'(encArg(z0)), ENCARG(z0))
   0'(c_4(c_4(c_4(c_0(c_2(c_2(c_1(c_3(c_2(c_1(c_0(c_4(c_1(c_3(c_0(c_1(c_3(c_4(c_4(z0)))))))))))))))))))) -> c11(3'(2(3(0(1(2(2(3(1(4(0(4(1(1(1(4(2(2(1(1(z0)))))))))))))))))))), 2'(3(0(1(2(2(3(1(4(0(4(1(1(1(4(2(2(1(1(z0))))))))))))))))))), 3'(0(1(2(2(3(1(4(0(4(1(1(1(4(2(2(1(1(z0)))))))))))))))))), 0'(1(2(2(3(1(4(0(4(1(1(1(4(2(2(1(1(z0))))))))))))))))), 1'(2(2(3(1(4(0(4(1(1(1(4(2(2(1(1(z0)))))))))))))))), 2'(2(3(1(4(0(4(1(1(1(4(2(2(1(1(z0))))))))))))))), 2'(3(1(4(0(4(1(1(1(4(2(2(1(1(z0)))))))))))))), 3'(1(4(0(4(1(1(1(4(2(2(1(1(z0))))))))))))), 1'(4(0(4(1(1(1(4(2(2(1(1(z0)))))))))))), 4'(0(4(1(1(1(4(2(2(1(1(z0))))))))))), 0'(4(1(1(1(4(2(2(1(1(z0)))))))))), 4'(1(1(1(4(2(2(1(1(z0))))))))), 1'(1(1(4(2(2(1(1(z0)))))))), 1'(1(4(2(2(1(1(z0))))))), 1'(4(2(2(1(1(z0)))))), 4'(2(2(1(1(z0))))), 2'(2(1(1(z0)))), 2'(1(1(z0))), 1'(1(z0)), 1'(z0))
   0'(c_1(c_4(c_2(c_3(c_1(c_1(c_2(c_3(c_2(c_3(c_1(c_0(c_1(c_0(c_2(c_0(c_2(c_3(c_2(z0)))))))))))))))))))) -> c12(3'(1(3(2(0(4(1(3(2(1(0(4(0(4(4(3(2(1(4(3(z0)))))))))))))))))))), 1'(3(2(0(4(1(3(2(1(0(4(0(4(4(3(2(1(4(3(z0))))))))))))))))))), 3'(2(0(4(1(3(2(1(0(4(0(4(4(3(2(1(4(3(z0)))))))))))))))))), 2'(0(4(1(3(2(1(0(4(0(4(4(3(2(1(4(3(z0))))))))))))))))), 0'(4(1(3(2(1(0(4(0(4(4(3(2(1(4(3(z0)))))))))))))))), 4'(1(3(2(1(0(4(0(4(4(3(2(1(4(3(z0))))))))))))))), 1'(3(2(1(0(4(0(4(4(3(2(1(4(3(z0)))))))))))))), 3'(2(1(0(4(0(4(4(3(2(1(4(3(z0))))))))))))), 2'(1(0(4(0(4(4(3(2(1(4(3(z0)))))))))))), 1'(0(4(0(4(4(3(2(1(4(3(z0))))))))))), 0'(4(0(4(4(3(2(1(4(3(z0)))))))))), 4'(0(4(4(3(2(1(4(3(z0))))))))), 0'(4(4(3(2(1(4(3(z0)))))))), 4'(4(3(2(1(4(3(z0))))))), 4'(3(2(1(4(3(z0)))))), 3'(2(1(4(3(z0))))), 2'(1(4(3(z0)))), 1'(4(3(z0))), 4'(3(z0)), 3'(z0))
   0'(c_3(c_0(c_0(c_1(c_1(c_4(c_3(c_4(c_3(c_0(c_4(c_2(c_1(c_4(c_3(c_4(c_2(c_1(c_2(z0)))))))))))))))))))) -> c13(1'(4(0(1(2(2(2(3(4(4(2(4(2(2(1(3(1(4(2(4(z0)))))))))))))))))))), 4'(0(1(2(2(2(3(4(4(2(4(2(2(1(3(1(4(2(4(z0))))))))))))))))))), 0'(1(2(2(2(3(4(4(2(4(2(2(1(3(1(4(2(4(z0)))))))))))))))))), 1'(2(2(2(3(4(4(2(4(2(2(1(3(1(4(2(4(z0))))))))))))))))), 2'(2(2(3(4(4(2(4(2(2(1(3(1(4(2(4(z0)))))))))))))))), 2'(2(3(4(4(2(4(2(2(1(3(1(4(2(4(z0))))))))))))))), 2'(3(4(4(2(4(2(2(1(3(1(4(2(4(z0)))))))))))))), 3'(4(4(2(4(2(2(1(3(1(4(2(4(z0))))))))))))), 4'(4(2(4(2(2(1(3(1(4(2(4(z0)))))))))))), 4'(2(4(2(2(1(3(1(4(2(4(z0))))))))))), 2'(4(2(2(1(3(1(4(2(4(z0)))))))))), 4'(2(2(1(3(1(4(2(4(z0))))))))), 2'(2(1(3(1(4(2(4(z0)))))))), 2'(1(3(1(4(2(4(z0))))))), 1'(3(1(4(2(4(z0)))))), 3'(1(4(2(4(z0))))), 1'(4(2(4(z0)))), 4'(2(4(z0))), 2'(4(z0)), 4'(z0))
   0'(c_0(c_0(c_0(c_1(c_0(c_2(c_2(c_3(c_2(c_1(c_1(c_0(c_3(c_2(c_1(c_1(c_1(c_2(c_4(z0)))))))))))))))))))) -> c14(0'(3(2(3(3(2(1(4(2(2(2(1(0(0(2(0(1(2(2(4(z0)))))))))))))))))))), 3'(2(3(3(2(1(4(2(2(2(1(0(0(2(0(1(2(2(4(z0))))))))))))))))))), 2'(3(3(2(1(4(2(2(2(1(0(0(2(0(1(2(2(4(z0)))))))))))))))))), 3'(3(2(1(4(2(2(2(1(0(0(2(0(1(2(2(4(z0))))))))))))))))), 3'(2(1(4(2(2(2(1(0(0(2(0(1(2(2(4(z0)))))))))))))))), 2'(1(4(2(2(2(1(0(0(2(0(1(2(2(4(z0))))))))))))))), 1'(4(2(2(2(1(0(0(2(0(1(2(2(4(z0)))))))))))))), 4'(2(2(2(1(0(0(2(0(1(2(2(4(z0))))))))))))), 2'(2(2(1(0(0(2(0(1(2(2(4(z0)))))))))))), 2'(2(1(0(0(2(0(1(2(2(4(z0))))))))))), 2'(1(0(0(2(0(1(2(2(4(z0)))))))))), 1'(0(0(2(0(1(2(2(4(z0))))))))), 0'(0(2(0(1(2(2(4(z0)))))))), 0'(2(0(1(2(2(4(z0))))))), 2'(0(1(2(2(4(z0)))))), 0'(1(2(2(4(z0))))), 1'(2(2(4(z0)))), 2'(2(4(z0))), 2'(4(z0)), 4'(z0))
   0'(c_2(c_1(c_4(c_2(c_4(c_3(c_4(c_0(c_0(c_3(c_0(c_2(c_4(c_1(c_4(c_4(c_0(c_1(c_1(z0)))))))))))))))))))) -> c15(4'(4(3(3(1(4(0(3(2(3(3(1(4(0(1(2(1(4(1(0(z0)))))))))))))))))))), 4'(3(3(1(4(0(3(2(3(3(1(4(0(1(2(1(4(1(0(z0))))))))))))))))))), 3'(3(1(4(0(3(2(3(3(1(4(0(1(2(1(4(1(0(z0)))))))))))))))))), 3'(1(4(0(3(2(3(3(1(4(0(1(2(1(4(1(0(z0))))))))))))))))), 1'(4(0(3(2(3(3(1(4(0(1(2(1(4(1(0(z0)))))))))))))))), 4'(0(3(2(3(3(1(4(0(1(2(1(4(1(0(z0))))))))))))))), 0'(3(2(3(3(1(4(0(1(2(1(4(1(0(z0)))))))))))))), 3'(2(3(3(1(4(0(1(2(1(4(1(0(z0))))))))))))), 2'(3(3(1(4(0(1(2(1(4(1(0(z0)))))))))))), 3'(3(1(4(0(1(2(1(4(1(0(z0))))))))))), 3'(1(4(0(1(2(1(4(1(0(z0)))))))))), 1'(4(0(1(2(1(4(1(0(z0))))))))), 4'(0(1(2(1(4(1(0(z0)))))))), 0'(1(2(1(4(1(0(z0))))))), 1'(2(1(4(1(0(z0)))))), 2'(1(4(1(0(z0))))), 1'(4(1(0(z0)))), 4'(1(0(z0))), 1'(0(z0)), 0'(z0))
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   4'(c_0(c_2(c_1(c_3(c_3(c_4(c_4(c_0(c_0(c_0(c_3(c_2(c_3(c_4(c_4(c_4(c_3(c_2(c_3(z0)))))))))))))))))))) -> c106(4'(0(2(1(4(0(2(0(0(4(0(4(1(0(2(3(4(4(1(2(z0)))))))))))))))))))), 0'(2(1(4(0(2(0(0(4(0(4(1(0(2(3(4(4(1(2(z0))))))))))))))))))), 2'(1(4(0(2(0(0(4(0(4(1(0(2(3(4(4(1(2(z0)))))))))))))))))), 1'(4(0(2(0(0(4(0(4(1(0(2(3(4(4(1(2(z0))))))))))))))))), 4'(0(2(0(0(4(0(4(1(0(2(3(4(4(1(2(z0)))))))))))))))), 0'(2(0(0(4(0(4(1(0(2(3(4(4(1(2(z0))))))))))))))), 2'(0(0(4(0(4(1(0(2(3(4(4(1(2(z0)))))))))))))), 0'(0(4(0(4(1(0(2(3(4(4(1(2(z0))))))))))))), 0'(4(0(4(1(0(2(3(4(4(1(2(z0)))))))))))), 4'(0(4(1(0(2(3(4(4(1(2(z0))))))))))), 0'(4(1(0(2(3(4(4(1(2(z0)))))))))), 4'(1(0(2(3(4(4(1(2(z0))))))))), 1'(0(2(3(4(4(1(2(z0)))))))), 0'(2(3(4(4(1(2(z0))))))), 2'(3(4(4(1(2(z0)))))), 3'(4(4(1(2(z0))))), 4'(4(1(2(z0)))), 4'(1(2(z0))), 1'(2(z0)), 2'(z0))
   4'(c_1(c_1(c_0(c_3(c_0(c_1(c_3(c_0(c_4(c_4(c_2(c_1(c_2(c_4(c_2(c_0(c_0(c_3(c_0(z0)))))))))))))))))))) -> c107(2'(3(2(0(1(4(4(4(3(2(3(3(1(4(3(4(2(0(1(3(z0)))))))))))))))))))), 3'(2(0(1(4(4(4(3(2(3(3(1(4(3(4(2(0(1(3(z0))))))))))))))))))), 2'(0(1(4(4(4(3(2(3(3(1(4(3(4(2(0(1(3(z0)))))))))))))))))), 0'(1(4(4(4(3(2(3(3(1(4(3(4(2(0(1(3(z0))))))))))))))))), 1'(4(4(4(3(2(3(3(1(4(3(4(2(0(1(3(z0)))))))))))))))), 4'(4(4(3(2(3(3(1(4(3(4(2(0(1(3(z0))))))))))))))), 4'(4(3(2(3(3(1(4(3(4(2(0(1(3(z0)))))))))))))), 4'(3(2(3(3(1(4(3(4(2(0(1(3(z0))))))))))))), 3'(2(3(3(1(4(3(4(2(0(1(3(z0)))))))))))), 2'(3(3(1(4(3(4(2(0(1(3(z0))))))))))), 3'(3(1(4(3(4(2(0(1(3(z0)))))))))), 3'(1(4(3(4(2(0(1(3(z0))))))))), 1'(4(3(4(2(0(1(3(z0)))))))), 4'(3(4(2(0(1(3(z0))))))), 3'(4(2(0(1(3(z0)))))), 4'(2(0(1(3(z0))))), 2'(0(1(3(z0)))), 0'(1(3(z0))), 1'(3(z0)), 3'(z0))
   4'(c_3(c_3(c_2(c_2(c_1(c_3(c_4(c_4(c_2(c_4(c_2(c_3(c_0(c_0(c_2(c_2(c_3(c_2(c_4(z0)))))))))))))))))))) -> c108(3'(2(2(1(1(0(2(2(4(0(0(0(2(1(3(1(0(4(3(4(z0)))))))))))))))))))), 2'(2(1(1(0(2(2(4(0(0(0(2(1(3(1(0(4(3(4(z0))))))))))))))))))), 2'(1(1(0(2(2(4(0(0(0(2(1(3(1(0(4(3(4(z0)))))))))))))))))), 1'(1(0(2(2(4(0(0(0(2(1(3(1(0(4(3(4(z0))))))))))))))))), 1'(0(2(2(4(0(0(0(2(1(3(1(0(4(3(4(z0)))))))))))))))), 0'(2(2(4(0(0(0(2(1(3(1(0(4(3(4(z0))))))))))))))), 2'(2(4(0(0(0(2(1(3(1(0(4(3(4(z0)))))))))))))), 2'(4(0(0(0(2(1(3(1(0(4(3(4(z0))))))))))))), 4'(0(0(0(2(1(3(1(0(4(3(4(z0)))))))))))), 0'(0(0(2(1(3(1(0(4(3(4(z0))))))))))), 0'(0(2(1(3(1(0(4(3(4(z0)))))))))), 0'(2(1(3(1(0(4(3(4(z0))))))))), 2'(1(3(1(0(4(3(4(z0)))))))), 1'(3(1(0(4(3(4(z0))))))), 3'(1(0(4(3(4(z0)))))), 1'(0(4(3(4(z0))))), 0'(4(3(4(z0)))), 4'(3(4(z0))), 3'(4(z0)), 4'(z0))
   4'(c_1(c_0(c_2(c_0(c_3(c_2(c_1(c_1(c_3(c_1(c_1(c_0(c_1(c_1(c_2(c_0(c_0(c_4(c_4(z0)))))))))))))))))))) -> c109(2'(1(4(2(2(2(2(2(2(2(0(1(0(3(1(0(1(1(4(0(z0)))))))))))))))))))), 1'(4(2(2(2(2(2(2(2(0(1(0(3(1(0(1(1(4(0(z0))))))))))))))))))), 4'(2(2(2(2(2(2(2(0(1(0(3(1(0(1(1(4(0(z0)))))))))))))))))), 2'(2(2(2(2(2(2(0(1(0(3(1(0(1(1(4(0(z0))))))))))))))))), 2'(2(2(2(2(2(0(1(0(3(1(0(1(1(4(0(z0)))))))))))))))), 2'(2(2(2(2(0(1(0(3(1(0(1(1(4(0(z0))))))))))))))), 2'(2(2(2(0(1(0(3(1(0(1(1(4(0(z0)))))))))))))), 2'(2(2(0(1(0(3(1(0(1(1(4(0(z0))))))))))))), 2'(2(0(1(0(3(1(0(1(1(4(0(z0)))))))))))), 2'(0(1(0(3(1(0(1(1(4(0(z0))))))))))), 0'(1(0(3(1(0(1(1(4(0(z0)))))))))), 1'(0(3(1(0(1(1(4(0(z0))))))))), 0'(3(1(0(1(1(4(0(z0)))))))), 3'(1(0(1(1(4(0(z0))))))), 1'(0(1(1(4(0(z0)))))), 0'(1(1(4(0(z0))))), 1'(1(4(0(z0)))), 1'(4(0(z0))), 4'(0(z0)), 0'(z0))
   4'(c_1(c_1(c_1(c_2(c_2(c_3(c_3(c_3(c_4(c_4(c_0(c_2(c_0(c_2(c_1(c_0(c_1(c_0(c_0(z0)))))))))))))))))))) -> c110(1'(1(0(3(4(0(2(3(1(4(2(4(1(0(4(0(3(1(1(4(z0)))))))))))))))))))), 1'(0(3(4(0(2(3(1(4(2(4(1(0(4(0(3(1(1(4(z0))))))))))))))))))), 0'(3(4(0(2(3(1(4(2(4(1(0(4(0(3(1(1(4(z0)))))))))))))))))), 3'(4(0(2(3(1(4(2(4(1(0(4(0(3(1(1(4(z0))))))))))))))))), 4'(0(2(3(1(4(2(4(1(0(4(0(3(1(1(4(z0)))))))))))))))), 0'(2(3(1(4(2(4(1(0(4(0(3(1(1(4(z0))))))))))))))), 2'(3(1(4(2(4(1(0(4(0(3(1(1(4(z0)))))))))))))), 3'(1(4(2(4(1(0(4(0(3(1(1(4(z0))))))))))))), 1'(4(2(4(1(0(4(0(3(1(1(4(z0)))))))))))), 4'(2(4(1(0(4(0(3(1(1(4(z0))))))))))), 2'(4(1(0(4(0(3(1(1(4(z0)))))))))), 4'(1(0(4(0(3(1(1(4(z0))))))))), 1'(0(4(0(3(1(1(4(z0)))))))), 0'(4(0(3(1(1(4(z0))))))), 4'(0(3(1(1(4(z0)))))), 0'(3(1(1(4(z0))))), 3'(1(1(4(z0)))), 1'(1(4(z0))), 1'(4(z0)), 4'(z0))
   4'(c_4(c_1(c_1(c_2(c_0(c_1(c_0(c_2(c_2(c_1(c_0(c_0(c_1(c_0(c_0(c_1(c_1(c_3(c_2(z0)))))))))))))))))))) -> c111(3'(1(4(1(4(4(3(1(2(3(3(2(1(3(3(1(1(3(2(4(z0)))))))))))))))))))), 1'(4(1(4(4(3(1(2(3(3(2(1(3(3(1(1(3(2(4(z0))))))))))))))))))), 4'(1(4(4(3(1(2(3(3(2(1(3(3(1(1(3(2(4(z0)))))))))))))))))), 1'(4(4(3(1(2(3(3(2(1(3(3(1(1(3(2(4(z0))))))))))))))))), 4'(4(3(1(2(3(3(2(1(3(3(1(1(3(2(4(z0)))))))))))))))), 4'(3(1(2(3(3(2(1(3(3(1(1(3(2(4(z0))))))))))))))), 3'(1(2(3(3(2(1(3(3(1(1(3(2(4(z0)))))))))))))), 1'(2(3(3(2(1(3(3(1(1(3(2(4(z0))))))))))))), 2'(3(3(2(1(3(3(1(1(3(2(4(z0)))))))))))), 3'(3(2(1(3(3(1(1(3(2(4(z0))))))))))), 3'(2(1(3(3(1(1(3(2(4(z0)))))))))), 2'(1(3(3(1(1(3(2(4(z0))))))))), 1'(3(3(1(1(3(2(4(z0)))))))), 3'(3(1(1(3(2(4(z0))))))), 3'(1(1(3(2(4(z0)))))), 1'(1(3(2(4(z0))))), 1'(3(2(4(z0)))), 3'(2(4(z0))), 2'(4(z0)), 4'(z0))
   4'(c_4(c_3(c_4(c_4(c_2(c_4(c_1(c_1(c_0(c_2(c_3(c_1(c_0(c_3(c_1(c_2(c_2(c_4(c_0(z0)))))))))))))))))))) -> c112(1'(2(1(1(1(2(4(1(4(3(1(4(1(4(3(2(0(4(2(2(z0)))))))))))))))))))), 2'(1(1(1(2(4(1(4(3(1(4(1(4(3(2(0(4(2(2(z0))))))))))))))))))), 1'(1(1(2(4(1(4(3(1(4(1(4(3(2(0(4(2(2(z0)))))))))))))))))), 1'(1(2(4(1(4(3(1(4(1(4(3(2(0(4(2(2(z0))))))))))))))))), 1'(2(4(1(4(3(1(4(1(4(3(2(0(4(2(2(z0)))))))))))))))), 2'(4(1(4(3(1(4(1(4(3(2(0(4(2(2(z0))))))))))))))), 4'(1(4(3(1(4(1(4(3(2(0(4(2(2(z0)))))))))))))), 1'(4(3(1(4(1(4(3(2(0(4(2(2(z0))))))))))))), 4'(3(1(4(1(4(3(2(0(4(2(2(z0)))))))))))), 3'(1(4(1(4(3(2(0(4(2(2(z0))))))))))), 1'(4(1(4(3(2(0(4(2(2(z0)))))))))), 4'(1(4(3(2(0(4(2(2(z0))))))))), 1'(4(3(2(0(4(2(2(z0)))))))), 4'(3(2(0(4(2(2(z0))))))), 3'(2(0(4(2(2(z0)))))), 2'(0(4(2(2(z0))))), 0'(4(2(2(z0)))), 4'(2(2(z0))), 2'(2(z0)), 2'(z0))
   4'(c_0(c_4(c_3(c_0(c_0(c_2(c_1(c_2(c_2(c_0(c_3(c_0(c_3(c_1(c_1(c_1(c_3(c_3(c_3(z0)))))))))))))))))))) -> c113(4'(1(2(1(1(2(2(1(1(2(0(1(0(2(4(4(1(1(1(0(z0)))))))))))))))))))), 1'(2(1(1(2(2(1(1(2(0(1(0(2(4(4(1(1(1(0(z0))))))))))))))))))), 2'(1(1(2(2(1(1(2(0(1(0(2(4(4(1(1(1(0(z0)))))))))))))))))), 1'(1(2(2(1(1(2(0(1(0(2(4(4(1(1(1(0(z0))))))))))))))))), 1'(2(2(1(1(2(0(1(0(2(4(4(1(1(1(0(z0)))))))))))))))), 2'(2(1(1(2(0(1(0(2(4(4(1(1(1(0(z0))))))))))))))), 2'(1(1(2(0(1(0(2(4(4(1(1(1(0(z0)))))))))))))), 1'(1(2(0(1(0(2(4(4(1(1(1(0(z0))))))))))))), 1'(2(0(1(0(2(4(4(1(1(1(0(z0)))))))))))), 2'(0(1(0(2(4(4(1(1(1(0(z0))))))))))), 0'(1(0(2(4(4(1(1(1(0(z0)))))))))), 1'(0(2(4(4(1(1(1(0(z0))))))))), 0'(2(4(4(1(1(1(0(z0)))))))), 2'(4(4(1(1(1(0(z0))))))), 4'(4(1(1(1(0(z0)))))), 4'(1(1(1(0(z0))))), 1'(1(1(0(z0)))), 1'(1(0(z0))), 1'(0(z0)), 0'(z0))
   ENCODE_0(z0) -> c10(0'(encArg(z0)))
   ENCODE_1(z0) -> c10(1'(encArg(z0)))
   ENCODE_2(z0) -> c10(2'(encArg(z0)))
   ENCODE_3(z0) -> c10(3'(encArg(z0)))
   ENCODE_4(z0) -> c10(4'(encArg(z0)))
   ENCARG(cons_0(cons_0(z0))) -> c(0'(0(encArg(z0))), ENCARG(cons_0(z0)))
   ENCARG(cons_0(cons_1(z0))) -> c(0'(1(encArg(z0))), ENCARG(cons_1(z0)))
   ENCARG(cons_0(cons_2(z0))) -> c(0'(2(encArg(z0))), ENCARG(cons_2(z0)))
   ENCARG(cons_0(cons_3(z0))) -> c(0'(3(encArg(z0))), ENCARG(cons_3(z0)))
   ENCARG(cons_0(cons_4(z0))) -> c(0'(4(encArg(z0))), ENCARG(cons_4(z0)))
S tuples:
   0'(c_4(c_4(c_4(c_0(c_2(c_2(c_1(c_3(c_2(c_1(c_0(c_4(c_1(c_3(c_0(c_1(c_3(c_4(c_4(z0)))))))))))))))))))) -> c11(3'(2(3(0(1(2(2(3(1(4(0(4(1(1(1(4(2(2(1(1(z0)))))))))))))))))))), 2'(3(0(1(2(2(3(1(4(0(4(1(1(1(4(2(2(1(1(z0))))))))))))))))))), 3'(0(1(2(2(3(1(4(0(4(1(1(1(4(2(2(1(1(z0)))))))))))))))))), 0'(1(2(2(3(1(4(0(4(1(1(1(4(2(2(1(1(z0))))))))))))))))), 1'(2(2(3(1(4(0(4(1(1(1(4(2(2(1(1(z0)))))))))))))))), 2'(2(3(1(4(0(4(1(1(1(4(2(2(1(1(z0))))))))))))))), 2'(3(1(4(0(4(1(1(1(4(2(2(1(1(z0)))))))))))))), 3'(1(4(0(4(1(1(1(4(2(2(1(1(z0))))))))))))), 1'(4(0(4(1(1(1(4(2(2(1(1(z0)))))))))))), 4'(0(4(1(1(1(4(2(2(1(1(z0))))))))))), 0'(4(1(1(1(4(2(2(1(1(z0)))))))))), 4'(1(1(1(4(2(2(1(1(z0))))))))), 1'(1(1(4(2(2(1(1(z0)))))))), 1'(1(4(2(2(1(1(z0))))))), 1'(4(2(2(1(1(z0)))))), 4'(2(2(1(1(z0))))), 2'(2(1(1(z0)))), 2'(1(1(z0))), 1'(1(z0)), 1'(z0))
   0'(c_1(c_4(c_2(c_3(c_1(c_1(c_2(c_3(c_2(c_3(c_1(c_0(c_1(c_0(c_2(c_0(c_2(c_3(c_2(z0)))))))))))))))))))) -> c12(3'(1(3(2(0(4(1(3(2(1(0(4(0(4(4(3(2(1(4(3(z0)))))))))))))))))))), 1'(3(2(0(4(1(3(2(1(0(4(0(4(4(3(2(1(4(3(z0))))))))))))))))))), 3'(2(0(4(1(3(2(1(0(4(0(4(4(3(2(1(4(3(z0)))))))))))))))))), 2'(0(4(1(3(2(1(0(4(0(4(4(3(2(1(4(3(z0))))))))))))))))), 0'(4(1(3(2(1(0(4(0(4(4(3(2(1(4(3(z0)))))))))))))))), 4'(1(3(2(1(0(4(0(4(4(3(2(1(4(3(z0))))))))))))))), 1'(3(2(1(0(4(0(4(4(3(2(1(4(3(z0)))))))))))))), 3'(2(1(0(4(0(4(4(3(2(1(4(3(z0))))))))))))), 2'(1(0(4(0(4(4(3(2(1(4(3(z0)))))))))))), 1'(0(4(0(4(4(3(2(1(4(3(z0))))))))))), 0'(4(0(4(4(3(2(1(4(3(z0)))))))))), 4'(0(4(4(3(2(1(4(3(z0))))))))), 0'(4(4(3(2(1(4(3(z0)))))))), 4'(4(3(2(1(4(3(z0))))))), 4'(3(2(1(4(3(z0)))))), 3'(2(1(4(3(z0))))), 2'(1(4(3(z0)))), 1'(4(3(z0))), 4'(3(z0)), 3'(z0))
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   4'(c_3(c_2(c_3(c_2(c_2(c_1(c_2(c_0(c_3(c_0(c_0(c_0(c_1(c_1(c_3(c_2(c_4(c_3(c_4(z0)))))))))))))))))))) -> c105(1'(3(1(4(0(2(1(0(0(1(3(4(0(3(3(4(2(1(2(1(z0)))))))))))))))))))), 3'(1(4(0(2(1(0(0(1(3(4(0(3(3(4(2(1(2(1(z0))))))))))))))))))), 1'(4(0(2(1(0(0(1(3(4(0(3(3(4(2(1(2(1(z0)))))))))))))))))), 4'(0(2(1(0(0(1(3(4(0(3(3(4(2(1(2(1(z0))))))))))))))))), 0'(2(1(0(0(1(3(4(0(3(3(4(2(1(2(1(z0)))))))))))))))), 2'(1(0(0(1(3(4(0(3(3(4(2(1(2(1(z0))))))))))))))), 1'(0(0(1(3(4(0(3(3(4(2(1(2(1(z0)))))))))))))), 0'(0(1(3(4(0(3(3(4(2(1(2(1(z0))))))))))))), 0'(1(3(4(0(3(3(4(2(1(2(1(z0)))))))))))), 1'(3(4(0(3(3(4(2(1(2(1(z0))))))))))), 3'(4(0(3(3(4(2(1(2(1(z0)))))))))), 4'(0(3(3(4(2(1(2(1(z0))))))))), 0'(3(3(4(2(1(2(1(z0)))))))), 3'(3(4(2(1(2(1(z0))))))), 3'(4(2(1(2(1(z0)))))), 4'(2(1(2(1(z0))))), 2'(1(2(1(z0)))), 1'(2(1(z0))), 2'(1(z0)), 1'(z0))
   4'(c_0(c_2(c_1(c_3(c_3(c_4(c_4(c_0(c_0(c_0(c_3(c_2(c_3(c_4(c_4(c_4(c_3(c_2(c_3(z0)))))))))))))))))))) -> c106(4'(0(2(1(4(0(2(0(0(4(0(4(1(0(2(3(4(4(1(2(z0)))))))))))))))))))), 0'(2(1(4(0(2(0(0(4(0(4(1(0(2(3(4(4(1(2(z0))))))))))))))))))), 2'(1(4(0(2(0(0(4(0(4(1(0(2(3(4(4(1(2(z0)))))))))))))))))), 1'(4(0(2(0(0(4(0(4(1(0(2(3(4(4(1(2(z0))))))))))))))))), 4'(0(2(0(0(4(0(4(1(0(2(3(4(4(1(2(z0)))))))))))))))), 0'(2(0(0(4(0(4(1(0(2(3(4(4(1(2(z0))))))))))))))), 2'(0(0(4(0(4(1(0(2(3(4(4(1(2(z0)))))))))))))), 0'(0(4(0(4(1(0(2(3(4(4(1(2(z0))))))))))))), 0'(4(0(4(1(0(2(3(4(4(1(2(z0)))))))))))), 4'(0(4(1(0(2(3(4(4(1(2(z0))))))))))), 0'(4(1(0(2(3(4(4(1(2(z0)))))))))), 4'(1(0(2(3(4(4(1(2(z0))))))))), 1'(0(2(3(4(4(1(2(z0)))))))), 0'(2(3(4(4(1(2(z0))))))), 2'(3(4(4(1(2(z0)))))), 3'(4(4(1(2(z0))))), 4'(4(1(2(z0)))), 4'(1(2(z0))), 1'(2(z0)), 2'(z0))
   4'(c_1(c_1(c_0(c_3(c_0(c_1(c_3(c_0(c_4(c_4(c_2(c_1(c_2(c_4(c_2(c_0(c_0(c_3(c_0(z0)))))))))))))))))))) -> c107(2'(3(2(0(1(4(4(4(3(2(3(3(1(4(3(4(2(0(1(3(z0)))))))))))))))))))), 3'(2(0(1(4(4(4(3(2(3(3(1(4(3(4(2(0(1(3(z0))))))))))))))))))), 2'(0(1(4(4(4(3(2(3(3(1(4(3(4(2(0(1(3(z0)))))))))))))))))), 0'(1(4(4(4(3(2(3(3(1(4(3(4(2(0(1(3(z0))))))))))))))))), 1'(4(4(4(3(2(3(3(1(4(3(4(2(0(1(3(z0)))))))))))))))), 4'(4(4(3(2(3(3(1(4(3(4(2(0(1(3(z0))))))))))))))), 4'(4(3(2(3(3(1(4(3(4(2(0(1(3(z0)))))))))))))), 4'(3(2(3(3(1(4(3(4(2(0(1(3(z0))))))))))))), 3'(2(3(3(1(4(3(4(2(0(1(3(z0)))))))))))), 2'(3(3(1(4(3(4(2(0(1(3(z0))))))))))), 3'(3(1(4(3(4(2(0(1(3(z0)))))))))), 3'(1(4(3(4(2(0(1(3(z0))))))))), 1'(4(3(4(2(0(1(3(z0)))))))), 4'(3(4(2(0(1(3(z0))))))), 3'(4(2(0(1(3(z0)))))), 4'(2(0(1(3(z0))))), 2'(0(1(3(z0)))), 0'(1(3(z0))), 1'(3(z0)), 3'(z0))
   4'(c_3(c_3(c_2(c_2(c_1(c_3(c_4(c_4(c_2(c_4(c_2(c_3(c_0(c_0(c_2(c_2(c_3(c_2(c_4(z0)))))))))))))))))))) -> c108(3'(2(2(1(1(0(2(2(4(0(0(0(2(1(3(1(0(4(3(4(z0)))))))))))))))))))), 2'(2(1(1(0(2(2(4(0(0(0(2(1(3(1(0(4(3(4(z0))))))))))))))))))), 2'(1(1(0(2(2(4(0(0(0(2(1(3(1(0(4(3(4(z0)))))))))))))))))), 1'(1(0(2(2(4(0(0(0(2(1(3(1(0(4(3(4(z0))))))))))))))))), 1'(0(2(2(4(0(0(0(2(1(3(1(0(4(3(4(z0)))))))))))))))), 0'(2(2(4(0(0(0(2(1(3(1(0(4(3(4(z0))))))))))))))), 2'(2(4(0(0(0(2(1(3(1(0(4(3(4(z0)))))))))))))), 2'(4(0(0(0(2(1(3(1(0(4(3(4(z0))))))))))))), 4'(0(0(0(2(1(3(1(0(4(3(4(z0)))))))))))), 0'(0(0(2(1(3(1(0(4(3(4(z0))))))))))), 0'(0(2(1(3(1(0(4(3(4(z0)))))))))), 0'(2(1(3(1(0(4(3(4(z0))))))))), 2'(1(3(1(0(4(3(4(z0)))))))), 1'(3(1(0(4(3(4(z0))))))), 3'(1(0(4(3(4(z0)))))), 1'(0(4(3(4(z0))))), 0'(4(3(4(z0)))), 4'(3(4(z0))), 3'(4(z0)), 4'(z0))
   4'(c_1(c_0(c_2(c_0(c_3(c_2(c_1(c_1(c_3(c_1(c_1(c_0(c_1(c_1(c_2(c_0(c_0(c_4(c_4(z0)))))))))))))))))))) -> c109(2'(1(4(2(2(2(2(2(2(2(0(1(0(3(1(0(1(1(4(0(z0)))))))))))))))))))), 1'(4(2(2(2(2(2(2(2(0(1(0(3(1(0(1(1(4(0(z0))))))))))))))))))), 4'(2(2(2(2(2(2(2(0(1(0(3(1(0(1(1(4(0(z0)))))))))))))))))), 2'(2(2(2(2(2(2(0(1(0(3(1(0(1(1(4(0(z0))))))))))))))))), 2'(2(2(2(2(2(0(1(0(3(1(0(1(1(4(0(z0)))))))))))))))), 2'(2(2(2(2(0(1(0(3(1(0(1(1(4(0(z0))))))))))))))), 2'(2(2(2(0(1(0(3(1(0(1(1(4(0(z0)))))))))))))), 2'(2(2(0(1(0(3(1(0(1(1(4(0(z0))))))))))))), 2'(2(0(1(0(3(1(0(1(1(4(0(z0)))))))))))), 2'(0(1(0(3(1(0(1(1(4(0(z0))))))))))), 0'(1(0(3(1(0(1(1(4(0(z0)))))))))), 1'(0(3(1(0(1(1(4(0(z0))))))))), 0'(3(1(0(1(1(4(0(z0)))))))), 3'(1(0(1(1(4(0(z0))))))), 1'(0(1(1(4(0(z0)))))), 0'(1(1(4(0(z0))))), 1'(1(4(0(z0)))), 1'(4(0(z0))), 4'(0(z0)), 0'(z0))
   4'(c_1(c_1(c_1(c_2(c_2(c_3(c_3(c_3(c_4(c_4(c_0(c_2(c_0(c_2(c_1(c_0(c_1(c_0(c_0(z0)))))))))))))))))))) -> c110(1'(1(0(3(4(0(2(3(1(4(2(4(1(0(4(0(3(1(1(4(z0)))))))))))))))))))), 1'(0(3(4(0(2(3(1(4(2(4(1(0(4(0(3(1(1(4(z0))))))))))))))))))), 0'(3(4(0(2(3(1(4(2(4(1(0(4(0(3(1(1(4(z0)))))))))))))))))), 3'(4(0(2(3(1(4(2(4(1(0(4(0(3(1(1(4(z0))))))))))))))))), 4'(0(2(3(1(4(2(4(1(0(4(0(3(1(1(4(z0)))))))))))))))), 0'(2(3(1(4(2(4(1(0(4(0(3(1(1(4(z0))))))))))))))), 2'(3(1(4(2(4(1(0(4(0(3(1(1(4(z0)))))))))))))), 3'(1(4(2(4(1(0(4(0(3(1(1(4(z0))))))))))))), 1'(4(2(4(1(0(4(0(3(1(1(4(z0)))))))))))), 4'(2(4(1(0(4(0(3(1(1(4(z0))))))))))), 2'(4(1(0(4(0(3(1(1(4(z0)))))))))), 4'(1(0(4(0(3(1(1(4(z0))))))))), 1'(0(4(0(3(1(1(4(z0)))))))), 0'(4(0(3(1(1(4(z0))))))), 4'(0(3(1(1(4(z0)))))), 0'(3(1(1(4(z0))))), 3'(1(1(4(z0)))), 1'(1(4(z0))), 1'(4(z0)), 4'(z0))
   4'(c_4(c_1(c_1(c_2(c_0(c_1(c_0(c_2(c_2(c_1(c_0(c_0(c_1(c_0(c_0(c_1(c_1(c_3(c_2(z0)))))))))))))))))))) -> c111(3'(1(4(1(4(4(3(1(2(3(3(2(1(3(3(1(1(3(2(4(z0)))))))))))))))))))), 1'(4(1(4(4(3(1(2(3(3(2(1(3(3(1(1(3(2(4(z0))))))))))))))))))), 4'(1(4(4(3(1(2(3(3(2(1(3(3(1(1(3(2(4(z0)))))))))))))))))), 1'(4(4(3(1(2(3(3(2(1(3(3(1(1(3(2(4(z0))))))))))))))))), 4'(4(3(1(2(3(3(2(1(3(3(1(1(3(2(4(z0)))))))))))))))), 4'(3(1(2(3(3(2(1(3(3(1(1(3(2(4(z0))))))))))))))), 3'(1(2(3(3(2(1(3(3(1(1(3(2(4(z0)))))))))))))), 1'(2(3(3(2(1(3(3(1(1(3(2(4(z0))))))))))))), 2'(3(3(2(1(3(3(1(1(3(2(4(z0)))))))))))), 3'(3(2(1(3(3(1(1(3(2(4(z0))))))))))), 3'(2(1(3(3(1(1(3(2(4(z0)))))))))), 2'(1(3(3(1(1(3(2(4(z0))))))))), 1'(3(3(1(1(3(2(4(z0)))))))), 3'(3(1(1(3(2(4(z0))))))), 3'(1(1(3(2(4(z0)))))), 1'(1(3(2(4(z0))))), 1'(3(2(4(z0)))), 3'(2(4(z0))), 2'(4(z0)), 4'(z0))
   4'(c_4(c_3(c_4(c_4(c_2(c_4(c_1(c_1(c_0(c_2(c_3(c_1(c_0(c_3(c_1(c_2(c_2(c_4(c_0(z0)))))))))))))))))))) -> c112(1'(2(1(1(1(2(4(1(4(3(1(4(1(4(3(2(0(4(2(2(z0)))))))))))))))))))), 2'(1(1(1(2(4(1(4(3(1(4(1(4(3(2(0(4(2(2(z0))))))))))))))))))), 1'(1(1(2(4(1(4(3(1(4(1(4(3(2(0(4(2(2(z0)))))))))))))))))), 1'(1(2(4(1(4(3(1(4(1(4(3(2(0(4(2(2(z0))))))))))))))))), 1'(2(4(1(4(3(1(4(1(4(3(2(0(4(2(2(z0)))))))))))))))), 2'(4(1(4(3(1(4(1(4(3(2(0(4(2(2(z0))))))))))))))), 4'(1(4(3(1(4(1(4(3(2(0(4(2(2(z0)))))))))))))), 1'(4(3(1(4(1(4(3(2(0(4(2(2(z0))))))))))))), 4'(3(1(4(1(4(3(2(0(4(2(2(z0)))))))))))), 3'(1(4(1(4(3(2(0(4(2(2(z0))))))))))), 1'(4(1(4(3(2(0(4(2(2(z0)))))))))), 4'(1(4(3(2(0(4(2(2(z0))))))))), 1'(4(3(2(0(4(2(2(z0)))))))), 4'(3(2(0(4(2(2(z0))))))), 3'(2(0(4(2(2(z0)))))), 2'(0(4(2(2(z0))))), 0'(4(2(2(z0)))), 4'(2(2(z0))), 2'(2(z0)), 2'(z0))
   4'(c_0(c_4(c_3(c_0(c_0(c_2(c_1(c_2(c_2(c_0(c_3(c_0(c_3(c_1(c_1(c_1(c_3(c_3(c_3(z0)))))))))))))))))))) -> c113(4'(1(2(1(1(2(2(1(1(2(0(1(0(2(4(4(1(1(1(0(z0)))))))))))))))))))), 1'(2(1(1(2(2(1(1(2(0(1(0(2(4(4(1(1(1(0(z0))))))))))))))))))), 2'(1(1(2(2(1(1(2(0(1(0(2(4(4(1(1(1(0(z0)))))))))))))))))), 1'(1(2(2(1(1(2(0(1(0(2(4(4(1(1(1(0(z0))))))))))))))))), 1'(2(2(1(1(2(0(1(0(2(4(4(1(1(1(0(z0)))))))))))))))), 2'(2(1(1(2(0(1(0(2(4(4(1(1(1(0(z0))))))))))))))), 2'(1(1(2(0(1(0(2(4(4(1(1(1(0(z0)))))))))))))), 1'(1(2(0(1(0(2(4(4(1(1(1(0(z0))))))))))))), 1'(2(0(1(0(2(4(4(1(1(1(0(z0)))))))))))), 2'(0(1(0(2(4(4(1(1(1(0(z0))))))))))), 0'(1(0(2(4(4(1(1(1(0(z0)))))))))), 1'(0(2(4(4(1(1(1(0(z0))))))))), 0'(2(4(4(1(1(1(0(z0)))))))), 2'(4(4(1(1(1(0(z0))))))), 4'(4(1(1(1(0(z0)))))), 4'(1(1(1(0(z0))))), 1'(1(1(0(z0)))), 1'(1(0(z0))), 1'(0(z0)), 0'(z0))
K tuples:none
Defined Rule Symbols:   encArg_1, 0_1, 1_1, 2_1, 3_1, 4_1

Defined Pair Symbols:   ENCARG_1, 0'_1, 1'_1, 2'_1, 3'_1, 4'_1, ENCODE_0_1, ENCODE_1_1, ENCODE_2_1, ENCODE_3_1, ENCODE_4_1

Compound Symbols:   c1_2, c2_2, c3_2, c4_2, c11_20, c12_20, c13_20, c14_20, c15_20, c16_20, c17_20, c18_20, c19_20, c20_20, c21_20, c22_20, c23_20, c24_20, c25_20, c26_20, c27_20, c28_20, c29_20, c30_20, c32_20, c33_20, c34_20, c35_20, c36_20, c37_20, c38_20, c39_20, c40_20, c41_20, c42_20, c44_20, c45_20, c46_20, c47_20, c48_20, c49_20, c50_20, c51_20, c52_20, c53_20, c54_20, c55_20, c56_20, c57_20, c58_20, c59_20, c60_20, c61_20, c62_20, c63_20, c65_20, c66_20, c67_20, c68_20, c69_20, c70_20, c71_20, c72_20, c73_20, c74_20, c75_20, c76_20, c77_20, c78_20, c79_20, c80_20, c81_20, c82_20, c83_20, c84_20, c85_20, c86_20, c87_20, c88_20, c90_20, c91_20, c92_20, c93_20, c94_20, c95_20, c96_20, c97_20, c98_20, c99_20, c100_20, c101_20, c102_20, c103_20, c104_20, c105_20, c106_20, c107_20, c108_20, c109_20, c110_20, c111_20, c112_20, c113_20, c10_1, c_2


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

(49) CdtNarrowingProof (BOTH BOUNDS(ID, ID))
Use narrowing to replace ENCARG(cons_1(z0)) -> c1(1'(encArg(z0)), ENCARG(z0)) by 
   ENCARG(cons_1(cons_0(z0))) -> c1(1'(0(encArg(z0))), ENCARG(cons_0(z0)))
   ENCARG(cons_1(cons_1(z0))) -> c1(1'(1(encArg(z0))), ENCARG(cons_1(z0)))
   ENCARG(cons_1(cons_2(z0))) -> c1(1'(2(encArg(z0))), ENCARG(cons_2(z0)))
   ENCARG(cons_1(cons_3(z0))) -> c1(1'(3(encArg(z0))), ENCARG(cons_3(z0)))
   ENCARG(cons_1(cons_4(z0))) -> c1(1'(4(encArg(z0))), ENCARG(cons_4(z0)))

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

(50)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(cons_0(z0)) -> 0(encArg(z0))
   encArg(cons_1(z0)) -> 1(encArg(z0))
   encArg(cons_2(z0)) -> 2(encArg(z0))
   encArg(cons_3(z0)) -> 3(encArg(z0))
   encArg(cons_4(z0)) -> 4(encArg(z0))
   0(z0) -> c_0(z0)
   0(c_4(c_4(c_4(c_0(c_2(c_2(c_1(c_3(c_2(c_1(c_0(c_4(c_1(c_3(c_0(c_1(c_3(c_4(c_4(z0)))))))))))))))))))) -> 3(2(3(0(1(2(2(3(1(4(0(4(1(1(1(4(2(2(1(1(z0))))))))))))))))))))
   0(c_1(c_4(c_2(c_3(c_1(c_1(c_2(c_3(c_2(c_3(c_1(c_0(c_1(c_0(c_2(c_0(c_2(c_3(c_2(z0)))))))))))))))))))) -> 3(1(3(2(0(4(1(3(2(1(0(4(0(4(4(3(2(1(4(3(z0))))))))))))))))))))
   0(c_3(c_0(c_0(c_1(c_1(c_4(c_3(c_4(c_3(c_0(c_4(c_2(c_1(c_4(c_3(c_4(c_2(c_1(c_2(z0)))))))))))))))))))) -> 1(4(0(1(2(2(2(3(4(4(2(4(2(2(1(3(1(4(2(4(z0))))))))))))))))))))
   0(c_0(c_0(c_0(c_1(c_0(c_2(c_2(c_3(c_2(c_1(c_1(c_0(c_3(c_2(c_1(c_1(c_1(c_2(c_4(z0)))))))))))))))))))) -> 0(3(2(3(3(2(1(4(2(2(2(1(0(0(2(0(1(2(2(4(z0))))))))))))))))))))
   0(c_2(c_1(c_4(c_2(c_4(c_3(c_4(c_0(c_0(c_3(c_0(c_2(c_4(c_1(c_4(c_4(c_0(c_1(c_1(z0)))))))))))))))))))) -> 4(4(3(3(1(4(0(3(2(3(3(1(4(0(1(2(1(4(1(0(z0))))))))))))))))))))
   0(c_0(c_4(c_0(c_2(c_1(c_4(c_1(c_4(c_0(c_1(c_2(c_0(c_0(c_4(c_1(c_0(c_3(c_2(c_1(z0)))))))))))))))))))) -> 2(3(3(3(1(3(2(4(2(1(1(3(0(2(1(2(3(4(2(1(z0))))))))))))))))))))
   0(c_1(c_4(c_3(c_4(c_0(c_1(c_0(c_2(c_3(c_4(c_0(c_3(c_4(c_2(c_0(c_1(c_4(c_0(c_3(z0)))))))))))))))))))) -> 0(3(3(4(2(1(0(1(3(3(0(3(2(4(1(3(2(3(1(4(z0))))))))))))))))))))
   0(c_0(c_2(c_2(c_2(c_1(c_2(c_3(c_0(c_2(c_0(c_4(c_4(c_0(c_3(c_3(c_3(c_0(c_0(c_3(z0)))))))))))))))))))) -> 0(0(0(3(3(1(1(1(4(4(1(4(3(3(0(3(3(2(4(3(z0))))))))))))))))))))
   0(c_4(c_4(c_1(c_1(c_0(c_1(c_4(c_1(c_1(c_1(c_4(c_0(c_1(c_0(c_0(c_4(c_1(c_4(c_3(z0)))))))))))))))))))) -> 2(2(1(0(2(2(3(4(2(1(2(0(3(0(3(3(1(1(4(2(z0))))))))))))))))))))
   0(c_2(c_0(c_1(c_2(c_0(c_3(c_1(c_2(c_1(c_3(c_3(c_1(c_3(c_2(c_0(c_0(c_4(c_2(c_1(z0)))))))))))))))))))) -> 1(2(2(0(4(4(0(3(1(4(1(3(4(3(3(4(4(4(2(1(z0))))))))))))))))))))
   0(c_3(c_2(c_0(c_1(c_4(c_3(c_0(c_2(c_4(c_0(c_2(c_0(c_0(c_1(c_4(c_4(c_2(c_4(c_4(z0)))))))))))))))))))) -> 4(0(0(0(4(4(2(1(3(1(0(1(2(2(2(4(4(4(2(3(z0))))))))))))))))))))
   0(c_2(c_1(c_4(c_4(c_4(c_3(c_4(c_2(c_1(c_1(c_0(c_0(c_1(c_4(c_4(c_2(c_0(c_3(c_4(z0)))))))))))))))))))) -> 1(0(1(4(2(1(0(2(4(4(4(0(1(1(3(1(3(4(3(1(z0))))))))))))))))))))
   0(c_4(c_1(c_1(c_1(c_2(c_1(c_4(c_3(c_2(c_4(c_4(c_2(c_2(c_4(c_2(c_0(c_4(c_1(c_1(z0)))))))))))))))))))) -> 2(1(1(4(2(2(3(1(3(1(2(2(2(4(1(3(3(4(3(0(z0))))))))))))))))))))
   0(c_4(c_4(c_3(c_2(c_0(c_4(c_1(c_0(c_4(c_3(c_1(c_1(c_0(c_2(c_1(c_1(c_3(c_2(c_1(z0)))))))))))))))))))) -> 2(1(2(2(1(2(3(2(1(2(4(2(4(2(3(2(3(4(4(1(z0))))))))))))))))))))
   0(c_2(c_4(c_3(c_1(c_4(c_0(c_3(c_3(c_4(c_4(c_2(c_2(c_4(c_4(c_0(c_4(c_1(c_0(c_0(z0)))))))))))))))))))) -> 4(2(1(0(1(3(3(4(0(0(2(3(3(4(3(1(4(1(0(4(z0))))))))))))))))))))
   0(c_1(c_4(c_0(c_3(c_1(c_3(c_3(c_0(c_3(c_1(c_4(c_4(c_1(c_1(c_1(c_4(c_0(c_4(c_0(z0)))))))))))))))))))) -> 3(2(0(3(2(4(3(4(4(2(1(0(1(4(1(3(1(4(4(4(z0))))))))))))))))))))
   0(c_2(c_3(c_4(c_2(c_2(c_4(c_4(c_1(c_0(c_3(c_2(c_2(c_4(c_2(c_2(c_3(c_1(c_1(c_4(z0)))))))))))))))))))) -> 1(3(1(4(0(3(1(1(4(3(3(2(2(1(2(0(2(0(3(4(z0))))))))))))))))))))
   0(c_1(c_4(c_1(c_3(c_1(c_0(c_2(c_4(c_1(c_3(c_0(c_4(c_3(c_1(c_3(c_1(c_1(c_1(c_0(z0)))))))))))))))))))) -> 3(2(1(1(4(1(2(1(4(0(2(1(1(4(4(0(1(2(2(1(z0))))))))))))))))))))
   0(c_1(c_3(c_0(c_2(c_4(c_3(c_0(c_3(c_1(c_0(c_2(c_4(c_2(c_2(c_0(c_3(c_4(c_1(c_1(z0)))))))))))))))))))) -> 4(0(2(4(3(1(3(1(0(2(3(3(2(1(0(4(4(1(2(1(z0))))))))))))))))))))
   0(c_2(c_1(c_2(c_1(c_0(c_2(c_3(c_0(c_0(c_4(c_2(c_3(c_1(c_4(c_0(c_3(c_1(c_3(c_1(z0)))))))))))))))))))) -> 3(1(2(3(4(3(0(2(2(2(1(2(2(3(4(2(1(4(3(1(z0))))))))))))))))))))
   1(z0) -> c_1(z0)
   1(c_0(c_0(c_4(c_0(c_0(c_1(c_2(c_3(c_0(c_1(c_4(c_1(c_3(c_0(c_2(c_1(c_4(c_0(c_0(z0)))))))))))))))))))) -> 4(1(2(4(1(3(3(4(3(3(3(1(2(2(4(1(0(3(3(1(z0))))))))))))))))))))
   1(c_1(c_0(c_2(c_4(c_4(c_4(c_1(c_2(c_4(c_4(c_1(c_0(c_4(c_2(c_2(c_1(c_3(c_0(c_3(z0)))))))))))))))))))) -> 2(1(1(1(1(3(3(4(3(1(1(4(4(2(1(3(1(0(0(3(z0))))))))))))))))))))
   1(c_4(c_1(c_3(c_0(c_1(c_1(c_1(c_1(c_0(c_4(c_0(c_0(c_3(c_0(c_3(c_2(c_4(c_3(c_4(z0)))))))))))))))))))) -> 1(4(4(0(4(0(0(2(4(0(4(3(2(1(2(4(2(4(3(1(z0))))))))))))))))))))
   1(c_4(c_2(c_4(c_4(c_3(c_3(c_4(c_3(c_3(c_4(c_1(c_4(c_1(c_2(c_3(c_4(c_1(c_1(c_2(z0)))))))))))))))))))) -> 3(2(2(0(3(0(2(2(1(2(1(0(3(4(1(3(1(2(1(2(z0))))))))))))))))))))
   1(c_0(c_0(c_0(c_3(c_2(c_4(c_3(c_1(c_2(c_3(c_0(c_2(c_4(c_1(c_0(c_1(c_2(c_4(c_2(z0)))))))))))))))))))) -> 2(0(0(4(4(1(4(3(2(1(3(1(3(0(4(1(1(4(0(2(z0))))))))))))))))))))
   1(c_4(c_1(c_2(c_3(c_0(c_0(c_2(c_3(c_4(c_1(c_4(c_0(c_2(c_0(c_4(c_1(c_1(c_2(c_0(z0)))))))))))))))))))) -> 4(3(1(2(1(4(4(3(4(3(2(2(1(3(2(1(3(4(1(4(z0))))))))))))))))))))
   1(c_3(c_4(c_3(c_0(c_3(c_1(c_4(c_3(c_2(c_4(c_0(c_1(c_0(c_0(c_1(c_3(c_3(c_1(c_1(z0)))))))))))))))))))) -> 1(2(2(4(3(1(4(4(3(1(1(0(3(3(0(3(0(1(0(4(z0))))))))))))))))))))
   1(c_2(c_4(c_4(c_0(c_0(c_4(c_3(c_0(c_2(c_2(c_3(c_0(c_0(c_4(c_4(c_3(c_3(c_3(c_2(z0)))))))))))))))))))) -> 4(2(3(2(1(0(4(3(3(1(3(3(1(4(2(0(0(1(4(3(z0))))))))))))))))))))
   1(c_0(c_1(c_1(c_3(c_3(c_0(c_2(c_0(c_2(c_2(c_1(c_0(c_4(c_1(c_0(c_4(c_3(c_1(c_4(z0)))))))))))))))))))) -> 1(2(4(1(0(0(0(1(4(2(0(0(4(4(4(1(4(3(1(4(z0))))))))))))))))))))
   1(c_2(c_0(c_3(c_1(c_0(c_2(c_0(c_4(c_1(c_4(c_4(c_2(c_4(c_0(c_4(c_3(c_4(c_4(c_3(z0)))))))))))))))))))) -> 2(1(4(4(4(1(4(1(1(2(4(1(1(2(2(1(1(0(0(0(z0))))))))))))))))))))
   1(c_4(c_2(c_3(c_1(c_4(c_2(c_2(c_0(c_4(c_2(c_3(c_0(c_1(c_3(c_2(c_1(c_3(c_3(c_4(z0)))))))))))))))))))) -> 1(4(1(3(4(3(0(1(4(0(2(1(0(1(1(0(3(1(2(2(z0))))))))))))))))))))
   2(z0) -> c_2(z0)
   2(c_1(c_3(c_3(c_4(c_1(c_4(c_0(c_4(c_0(c_3(c_0(c_0(c_2(c_4(c_1(c_4(c_0(c_0(c_3(z0)))))))))))))))))))) -> 1(0(0(4(3(3(0(3(2(2(4(3(2(2(1(1(3(1(4(1(z0))))))))))))))))))))
   2(c_4(c_2(c_3(c_0(c_2(c_3(c_2(c_2(c_3(c_2(c_1(c_0(c_3(c_4(c_1(c_3(c_1(c_0(c_1(z0)))))))))))))))))))) -> 1(3(0(4(4(1(3(2(1(0(2(4(1(0(2(2(0(4(4(1(z0))))))))))))))))))))
   2(c_2(c_2(c_0(c_0(c_0(c_3(c_4(c_4(c_0(c_2(c_1(c_2(c_0(c_0(c_2(c_0(c_3(c_0(c_0(z0)))))))))))))))))))) -> 4(2(3(4(0(4(2(1(0(3(1(1(1(3(0(0(3(1(2(0(z0))))))))))))))))))))
   2(c_0(c_0(c_3(c_3(c_1(c_0(c_4(c_2(c_3(c_1(c_2(c_3(c_0(c_4(c_1(c_3(c_0(c_4(c_4(z0)))))))))))))))))))) -> 4(0(3(4(3(3(1(2(1(4(1(4(4(3(0(3(0(1(0(0(z0))))))))))))))))))))
   2(c_3(c_0(c_4(c_0(c_2(c_4(c_4(c_4(c_2(c_1(c_2(c_0(c_3(c_2(c_2(c_1(c_1(c_3(c_0(z0)))))))))))))))))))) -> 2(1(1(1(4(4(1(1(4(0(2(3(2(4(1(0(2(4(2(1(z0))))))))))))))))))))
   2(c_4(c_3(c_4(c_4(c_4(c_4(c_3(c_2(c_4(c_4(c_2(c_3(c_3(c_1(c_1(c_0(c_4(c_2(c_2(z0)))))))))))))))))))) -> 4(1(4(3(4(2(2(1(2(1(4(4(3(1(0(4(3(4(0(0(z0))))))))))))))))))))
   2(c_2(c_3(c_3(c_0(c_2(c_0(c_3(c_0(c_1(c_4(c_3(c_2(c_2(c_1(c_0(c_2(c_2(c_4(c_4(z0)))))))))))))))))))) -> 4(1(2(4(2(1(4(2(2(0(3(0(1(4(1(2(4(3(4(0(z0))))))))))))))))))))
   2(c_3(c_0(c_4(c_1(c_3(c_1(c_3(c_0(c_0(c_1(c_1(c_1(c_1(c_2(c_3(c_1(c_4(c_2(c_1(z0)))))))))))))))))))) -> 1(0(2(2(2(3(3(1(0(4(3(1(4(2(2(1(1(0(3(1(z0))))))))))))))))))))
   2(c_0(c_0(c_0(c_0(c_1(c_4(c_4(c_3(c_1(c_3(c_3(c_2(c_2(c_1(c_4(c_4(c_2(c_3(c_1(z0)))))))))))))))))))) -> 2(4(1(0(1(4(3(1(2(2(2(1(1(1(3(4(4(0(1(2(z0))))))))))))))))))))
   2(c_3(c_0(c_2(c_4(c_0(c_1(c_0(c_3(c_4(c_3(c_3(c_1(c_4(c_1(c_0(c_4(c_3(c_2(c_2(z0)))))))))))))))))))) -> 3(1(3(1(2(2(0(4(1(3(1(1(4(2(3(4(4(4(4(4(z0))))))))))))))))))))
   2(c_2(c_3(c_3(c_1(c_3(c_1(c_2(c_0(c_0(c_4(c_3(c_4(c_2(c_2(c_0(c_2(c_2(c_4(c_0(z0)))))))))))))))))))) -> 2(1(2(0(4(4(1(0(2(4(1(3(2(1(3(1(0(2(3(3(z0))))))))))))))))))))
   2(c_1(c_1(c_3(c_2(c_4(c_3(c_0(c_1(c_4(c_2(c_0(c_3(c_1(c_2(c_0(c_4(c_0(c_3(c_2(z0)))))))))))))))))))) -> 2(2(1(0(4(2(0(1(3(0(4(1(2(4(4(3(2(2(1(2(z0))))))))))))))))))))
   2(c_0(c_4(c_3(c_4(c_4(c_2(c_1(c_0(c_0(c_2(c_4(c_4(c_2(c_1(c_1(c_1(c_1(c_1(c_4(z0)))))))))))))))))))) -> 0(4(0(1(2(2(1(4(2(1(4(3(0(4(3(4(1(1(3(1(z0))))))))))))))))))))
   2(c_3(c_3(c_3(c_4(c_0(c_4(c_1(c_0(c_2(c_2(c_4(c_2(c_4(c_1(c_1(c_3(c_3(c_4(c_1(z0)))))))))))))))))))) -> 4(2(1(4(1(0(3(1(4(4(3(3(0(1(3(1(2(4(3(0(z0))))))))))))))))))))
   2(c_0(c_1(c_4(c_4(c_3(c_3(c_4(c_2(c_3(c_1(c_3(c_1(c_1(c_3(c_0(c_4(c_1(c_3(c_2(z0)))))))))))))))))))) -> 2(1(4(3(1(0(3(1(4(4(4(2(2(0(0(4(2(0(2(2(z0))))))))))))))))))))
   2(c_2(c_4(c_1(c_0(c_3(c_0(c_4(c_2(c_4(c_3(c_3(c_4(c_3(c_3(c_1(c_0(c_1(c_0(c_0(z0)))))))))))))))))))) -> 0(4(3(4(1(0(3(4(4(4(3(0(4(0(1(2(1(3(1(4(z0))))))))))))))))))))
   2(c_3(c_4(c_4(c_0(c_0(c_4(c_4(c_4(c_3(c_3(c_0(c_4(c_2(c_2(c_3(c_0(c_0(c_1(c_3(z0)))))))))))))))))))) -> 0(2(0(4(3(3(2(1(4(4(1(2(0(1(2(4(3(3(4(1(z0))))))))))))))))))))
   2(c_3(c_1(c_3(c_2(c_1(c_4(c_1(c_0(c_2(c_4(c_2(c_0(c_0(c_2(c_3(c_4(c_4(c_3(c_2(z0)))))))))))))))))))) -> 4(1(1(4(3(2(3(1(4(1(4(4(1(3(1(2(3(4(4(1(z0))))))))))))))))))))
   2(c_3(c_2(c_4(c_2(c_1(c_0(c_0(c_2(c_4(c_3(c_4(c_1(c_1(c_3(c_2(c_4(c_2(c_1(c_2(z0)))))))))))))))))))) -> 2(3(2(1(1(0(2(0(1(1(3(2(1(4(3(1(1(0(3(1(z0))))))))))))))))))))
   2(c_0(c_2(c_2(c_1(c_3(c_3(c_2(c_4(c_0(c_1(c_0(c_3(c_1(c_4(c_0(c_0(c_0(c_1(c_3(z0)))))))))))))))))))) -> 1(3(4(2(0(1(1(3(1(3(4(4(2(3(1(0(1(3(1(3(z0))))))))))))))))))))
   3(z0) -> c_3(z0)
   3(c_0(c_3(c_3(c_3(c_4(c_2(c_1(c_4(c_2(c_2(c_3(c_2(c_0(c_4(c_4(c_4(c_1(c_1(c_1(z0)))))))))))))))))))) -> 1(4(3(4(2(2(4(3(2(0(1(4(1(1(3(1(2(1(1(3(z0))))))))))))))))))))
   3(c_1(c_0(c_0(c_1(c_0(c_4(c_4(c_1(c_0(c_1(c_2(c_4(c_0(c_2(c_1(c_3(c_0(c_2(c_0(z0)))))))))))))))))))) -> 4(4(3(2(4(2(1(2(0(0(1(4(2(3(0(0(1(0(1(4(z0))))))))))))))))))))
   3(c_0(c_3(c_0(c_4(c_1(c_3(c_1(c_1(c_0(c_4(c_1(c_2(c_3(c_4(c_1(c_1(c_0(c_1(c_4(z0)))))))))))))))))))) -> 2(0(1(2(4(3(2(1(4(2(4(0(3(2(4(2(3(1(4(1(z0))))))))))))))))))))
   3(c_3(c_0(c_3(c_0(c_4(c_2(c_0(c_1(c_3(c_3(c_4(c_1(c_0(c_3(c_2(c_2(c_1(c_1(c_1(z0)))))))))))))))))))) -> 4(0(1(3(1(2(1(0(1(1(2(3(0(4(3(3(1(3(0(1(z0))))))))))))))))))))
   3(c_3(c_1(c_1(c_2(c_2(c_4(c_2(c_1(c_4(c_3(c_3(c_4(c_3(c_1(c_0(c_0(c_2(c_1(c_1(z0)))))))))))))))))))) -> 2(2(2(0(3(1(1(1(4(1(0(3(1(2(1(4(1(3(1(1(z0))))))))))))))))))))
   3(c_2(c_0(c_0(c_1(c_4(c_1(c_0(c_3(c_3(c_0(c_3(c_0(c_1(c_4(c_1(c_3(c_3(c_2(c_1(z0)))))))))))))))))))) -> 1(2(2(2(1(1(4(3(0(3(2(2(4(2(1(4(4(3(1(4(z0))))))))))))))))))))
   3(c_3(c_4(c_1(c_1(c_4(c_4(c_3(c_1(c_0(c_1(c_3(c_0(c_0(c_3(c_1(c_3(c_3(c_2(c_0(z0)))))))))))))))))))) -> 2(1(4(1(1(1(4(2(4(2(4(1(3(4(2(3(3(2(2(4(z0))))))))))))))))))))
   3(c_4(c_1(c_4(c_3(c_2(c_2(c_4(c_1(c_1(c_4(c_4(c_2(c_3(c_0(c_1(c_1(c_3(c_0(c_1(z0)))))))))))))))))))) -> 4(1(4(0(1(4(1(2(2(4(2(2(1(2(2(1(1(1(3(2(z0))))))))))))))))))))
   3(c_4(c_2(c_4(c_2(c_0(c_3(c_4(c_2(c_4(c_3(c_1(c_4(c_3(c_4(c_0(c_4(c_4(c_3(c_1(z0)))))))))))))))))))) -> 3(4(1(3(2(3(3(4(4(1(1(3(1(3(3(1(1(4(1(0(z0))))))))))))))))))))
   3(c_2(c_1(c_0(c_2(c_3(c_1(c_2(c_3(c_2(c_0(c_1(c_0(c_3(c_0(c_0(c_1(c_4(c_2(c_1(z0)))))))))))))))))))) -> 1(3(1(4(1(1(1(4(0(0(2(1(0(4(1(2(2(3(1(1(z0))))))))))))))))))))
   3(c_1(c_0(c_0(c_0(c_4(c_0(c_4(c_3(c_0(c_2(c_4(c_3(c_3(c_3(c_1(c_1(c_3(c_0(c_1(z0)))))))))))))))))))) -> 4(2(4(2(0(1(2(3(4(1(0(3(1(2(2(0(4(4(2(4(z0))))))))))))))))))))
   3(c_4(c_2(c_1(c_4(c_1(c_3(c_4(c_3(c_4(c_2(c_0(c_2(c_2(c_4(c_3(c_0(c_1(c_0(c_1(z0)))))))))))))))))))) -> 4(2(1(4(1(2(2(2(2(2(3(1(0(1(2(4(3(1(2(4(z0))))))))))))))))))))
   3(c_4(c_0(c_0(c_1(c_2(c_0(c_4(c_4(c_4(c_4(c_4(c_1(c_2(c_2(c_4(c_4(c_0(c_3(c_0(z0)))))))))))))))))))) -> 3(2(3(4(1(1(4(3(4(4(1(1(2(2(4(4(0(0(4(0(z0))))))))))))))))))))
   3(c_2(c_4(c_4(c_2(c_0(c_2(c_4(c_4(c_3(c_3(c_1(c_1(c_2(c_4(c_2(c_3(c_4(c_4(c_2(z0)))))))))))))))))))) -> 1(4(1(3(3(2(1(2(3(4(2(4(1(3(0(4(2(1(3(1(z0))))))))))))))))))))
   3(c_4(c_0(c_3(c_1(c_3(c_3(c_3(c_0(c_1(c_3(c_2(c_2(c_3(c_4(c_2(c_2(c_4(c_4(c_2(z0)))))))))))))))))))) -> 0(3(2(1(1(1(3(2(4(0(3(0(3(3(0(2(1(2(1(2(z0))))))))))))))))))))
   3(c_4(c_0(c_0(c_4(c_1(c_4(c_1(c_1(c_0(c_1(c_0(c_1(c_2(c_1(c_3(c_2(c_2(c_3(c_4(z0)))))))))))))))))))) -> 1(3(4(2(1(3(0(1(4(3(1(3(4(0(4(1(2(4(0(2(z0))))))))))))))))))))
   3(c_2(c_2(c_3(c_3(c_0(c_0(c_4(c_4(c_0(c_4(c_4(c_4(c_2(c_3(c_3(c_1(c_1(c_2(c_1(z0)))))))))))))))))))) -> 3(0(3(4(4(4(4(1(4(3(3(0(0(2(3(2(1(2(2(1(z0))))))))))))))))))))
   3(c_2(c_4(c_0(c_0(c_2(c_4(c_0(c_4(c_3(c_4(c_2(c_1(c_1(c_2(c_4(c_3(c_3(c_2(c_1(z0)))))))))))))))))))) -> 0(3(3(4(3(1(4(2(4(3(2(1(4(1(4(0(3(1(4(2(z0))))))))))))))))))))
   3(c_0(c_2(c_2(c_1(c_0(c_0(c_0(c_0(c_0(c_3(c_1(c_0(c_0(c_4(c_3(c_4(c_2(c_2(c_0(z0)))))))))))))))))))) -> 3(2(2(0(0(2(2(4(0(4(3(4(3(0(2(2(3(2(1(0(z0))))))))))))))))))))
   3(c_0(c_3(c_0(c_0(c_1(c_3(c_2(c_4(c_4(c_4(c_0(c_3(c_0(c_1(c_4(c_1(c_2(c_4(c_3(z0)))))))))))))))))))) -> 2(2(3(2(1(0(2(0(0(2(0(4(0(4(0(4(3(2(2(3(z0))))))))))))))))))))
   3(c_4(c_4(c_0(c_0(c_0(c_0(c_3(c_2(c_2(c_2(c_1(c_4(c_4(c_4(c_1(c_2(c_4(c_0(c_3(z0)))))))))))))))))))) -> 1(1(4(0(0(2(0(1(2(2(2(2(0(1(3(1(0(2(0(0(z0))))))))))))))))))))
   3(c_0(c_1(c_4(c_2(c_2(c_1(c_1(c_2(c_4(c_4(c_1(c_1(c_1(c_3(c_1(c_1(c_3(c_3(c_3(z0)))))))))))))))))))) -> 3(3(4(2(1(1(3(1(2(1(2(2(1(3(4(1(4(2(4(2(z0))))))))))))))))))))
   3(c_1(c_4(c_4(c_1(c_4(c_3(c_4(c_0(c_3(c_0(c_2(c_0(c_3(c_2(c_1(c_2(c_3(c_2(c_4(z0)))))))))))))))))))) -> 2(0(3(1(2(3(1(2(1(2(1(3(3(4(2(0(0(2(2(1(z0))))))))))))))))))))
   3(c_3(c_3(c_4(c_2(c_3(c_3(c_0(c_1(c_3(c_4(c_4(c_4(c_0(c_4(c_2(c_2(c_4(c_0(c_2(z0)))))))))))))))))))) -> 3(4(3(4(1(3(4(2(2(2(2(0(4(1(3(3(1(1(4(4(z0))))))))))))))))))))
   4(z0) -> c_4(z0)
   4(c_1(c_3(c_2(c_2(c_4(c_4(c_2(c_0(c_0(c_3(c_2(c_3(c_1(c_1(c_3(c_2(c_3(c_3(c_1(z0)))))))))))))))))))) -> 3(2(1(2(1(3(2(1(3(2(3(2(1(1(2(1(2(3(4(3(z0))))))))))))))))))))
   4(c_0(c_3(c_0(c_3(c_1(c_1(c_2(c_0(c_4(c_3(c_0(c_4(c_3(c_1(c_0(c_0(c_4(c_2(c_4(z0)))))))))))))))))))) -> 2(4(4(4(4(2(2(2(2(4(3(2(2(3(4(1(2(0(1(3(z0))))))))))))))))))))
   4(c_3(c_4(c_3(c_4(c_4(c_3(c_0(c_3(c_3(c_2(c_2(c_3(c_1(c_3(c_2(c_2(c_3(c_4(c_1(z0)))))))))))))))))))) -> 4(1(0(0(4(3(4(1(2(4(3(3(2(1(3(4(1(0(3(1(z0))))))))))))))))))))
   4(c_4(c_0(c_4(c_4(c_1(c_0(c_3(c_3(c_2(c_0(c_3(c_0(c_1(c_3(c_0(c_3(c_1(c_3(c_3(z0)))))))))))))))))))) -> 2(1(0(3(1(3(1(4(3(3(0(0(1(4(4(1(2(2(3(0(z0))))))))))))))))))))
   4(c_2(c_1(c_2(c_1(c_1(c_2(c_3(c_4(c_2(c_3(c_2(c_1(c_4(c_2(c_2(c_4(c_0(c_3(c_0(z0)))))))))))))))))))) -> 3(1(0(2(1(3(1(2(1(0(2(1(1(3(1(0(4(0(3(4(z0))))))))))))))))))))
   4(c_0(c_2(c_4(c_2(c_1(c_4(c_2(c_4(c_2(c_4(c_1(c_2(c_0(c_1(c_0(c_3(c_0(c_3(c_0(z0)))))))))))))))))))) -> 0(3(1(0(4(1(4(2(3(1(4(4(1(2(0(1(0(0(0(4(z0))))))))))))))))))))
   4(c_3(c_2(c_0(c_1(c_0(c_2(c_2(c_3(c_1(c_4(c_0(c_0(c_3(c_4(c_0(c_0(c_1(c_1(c_2(z0)))))))))))))))))))) -> 3(2(0(3(0(0(4(1(1(4(2(4(1(4(3(1(3(1(4(3(z0))))))))))))))))))))
   4(c_1(c_3(c_4(c_1(c_3(c_0(c_2(c_4(c_3(c_4(c_3(c_3(c_1(c_0(c_2(c_0(c_1(c_2(c_4(z0)))))))))))))))))))) -> 2(0(4(4(1(0(2(2(1(1(4(0(4(0(1(4(0(4(4(3(z0))))))))))))))))))))
   4(c_3(c_1(c_3(c_2(c_2(c_4(c_0(c_1(c_0(c_4(c_0(c_0(c_2(c_1(c_0(c_1(c_4(c_3(c_0(z0)))))))))))))))))))) -> 1(3(1(1(1(1(3(4(4(1(4(4(1(4(0(4(2(4(1(3(z0))))))))))))))))))))
   4(c_1(c_3(c_4(c_2(c_3(c_0(c_4(c_4(c_3(c_3(c_1(c_1(c_3(c_4(c_1(c_1(c_3(c_3(c_0(z0)))))))))))))))))))) -> 2(4(4(4(4(2(2(4(1(0(2(2(4(0(3(2(2(2(2(2(z0))))))))))))))))))))
   4(c_3(c_4(c_4(c_2(c_2(c_3(c_2(c_0(c_4(c_2(c_4(c_2(c_2(c_1(c_4(c_2(c_3(c_3(c_0(z0)))))))))))))))))))) -> 1(2(1(2(1(1(0(4(0(1(1(4(2(1(0(4(1(0(4(3(z0))))))))))))))))))))
   4(c_4(c_3(c_2(c_1(c_2(c_0(c_3(c_0(c_4(c_0(c_2(c_1(c_4(c_4(c_0(c_2(c_1(c_3(c_0(z0)))))))))))))))))))) -> 4(2(4(1(4(2(2(0(1(0(3(1(3(0(1(3(3(2(1(0(z0))))))))))))))))))))
   4(c_1(c_2(c_1(c_0(c_4(c_3(c_1(c_3(c_0(c_2(c_3(c_3(c_4(c_3(c_1(c_0(c_0(c_0(c_4(z0)))))))))))))))))))) -> 3(2(0(2(2(1(2(1(1(2(3(0(1(3(3(3(2(4(1(0(z0))))))))))))))))))))
   4(c_0(c_0(c_3(c_3(c_1(c_0(c_2(c_2(c_0(c_4(c_0(c_4(c_3(c_0(c_0(c_2(c_2(c_1(c_3(z0)))))))))))))))))))) -> 0(0(3(2(1(2(3(2(4(3(1(2(0(2(2(1(1(0(3(1(z0))))))))))))))))))))
   4(c_3(c_4(c_3(c_4(c_4(c_2(c_0(c_4(c_4(c_2(c_0(c_2(c_0(c_4(c_4(c_2(c_2(c_3(c_3(z0)))))))))))))))))))) -> 3(4(0(1(3(0(0(4(3(1(2(2(3(1(3(4(2(2(0(3(z0))))))))))))))))))))
   4(c_3(c_2(c_3(c_2(c_2(c_1(c_2(c_0(c_3(c_0(c_0(c_0(c_1(c_1(c_3(c_2(c_4(c_3(c_4(z0)))))))))))))))))))) -> 1(3(1(4(0(2(1(0(0(1(3(4(0(3(3(4(2(1(2(1(z0))))))))))))))))))))
   4(c_0(c_2(c_1(c_3(c_3(c_4(c_4(c_0(c_0(c_0(c_3(c_2(c_3(c_4(c_4(c_4(c_3(c_2(c_3(z0)))))))))))))))))))) -> 4(0(2(1(4(0(2(0(0(4(0(4(1(0(2(3(4(4(1(2(z0))))))))))))))))))))
   4(c_1(c_1(c_0(c_3(c_0(c_1(c_3(c_0(c_4(c_4(c_2(c_1(c_2(c_4(c_2(c_0(c_0(c_3(c_0(z0)))))))))))))))))))) -> 2(3(2(0(1(4(4(4(3(2(3(3(1(4(3(4(2(0(1(3(z0))))))))))))))))))))
   4(c_3(c_3(c_2(c_2(c_1(c_3(c_4(c_4(c_2(c_4(c_2(c_3(c_0(c_0(c_2(c_2(c_3(c_2(c_4(z0)))))))))))))))))))) -> 3(2(2(1(1(0(2(2(4(0(0(0(2(1(3(1(0(4(3(4(z0))))))))))))))))))))
   4(c_1(c_0(c_2(c_0(c_3(c_2(c_1(c_1(c_3(c_1(c_1(c_0(c_1(c_1(c_2(c_0(c_0(c_4(c_4(z0)))))))))))))))))))) -> 2(1(4(2(2(2(2(2(2(2(0(1(0(3(1(0(1(1(4(0(z0))))))))))))))))))))
   4(c_1(c_1(c_1(c_2(c_2(c_3(c_3(c_3(c_4(c_4(c_0(c_2(c_0(c_2(c_1(c_0(c_1(c_0(c_0(z0)))))))))))))))))))) -> 1(1(0(3(4(0(2(3(1(4(2(4(1(0(4(0(3(1(1(4(z0))))))))))))))))))))
   4(c_4(c_1(c_1(c_2(c_0(c_1(c_0(c_2(c_2(c_1(c_0(c_0(c_1(c_0(c_0(c_1(c_1(c_3(c_2(z0)))))))))))))))))))) -> 3(1(4(1(4(4(3(1(2(3(3(2(1(3(3(1(1(3(2(4(z0))))))))))))))))))))
   4(c_4(c_3(c_4(c_4(c_2(c_4(c_1(c_1(c_0(c_2(c_3(c_1(c_0(c_3(c_1(c_2(c_2(c_4(c_0(z0)))))))))))))))))))) -> 1(2(1(1(1(2(4(1(4(3(1(4(1(4(3(2(0(4(2(2(z0))))))))))))))))))))
   4(c_0(c_4(c_3(c_0(c_0(c_2(c_1(c_2(c_2(c_0(c_3(c_0(c_3(c_1(c_1(c_1(c_3(c_3(c_3(z0)))))))))))))))))))) -> 4(1(2(1(1(2(2(1(1(2(0(1(0(2(4(4(1(1(1(0(z0))))))))))))))))))))
Tuples:
   ENCARG(cons_2(z0)) -> c2(2'(encArg(z0)), ENCARG(z0))
   ENCARG(cons_3(z0)) -> c3(3'(encArg(z0)), ENCARG(z0))
   ENCARG(cons_4(z0)) -> c4(4'(encArg(z0)), ENCARG(z0))
   0'(c_4(c_4(c_4(c_0(c_2(c_2(c_1(c_3(c_2(c_1(c_0(c_4(c_1(c_3(c_0(c_1(c_3(c_4(c_4(z0)))))))))))))))))))) -> c11(3'(2(3(0(1(2(2(3(1(4(0(4(1(1(1(4(2(2(1(1(z0)))))))))))))))))))), 2'(3(0(1(2(2(3(1(4(0(4(1(1(1(4(2(2(1(1(z0))))))))))))))))))), 3'(0(1(2(2(3(1(4(0(4(1(1(1(4(2(2(1(1(z0)))))))))))))))))), 0'(1(2(2(3(1(4(0(4(1(1(1(4(2(2(1(1(z0))))))))))))))))), 1'(2(2(3(1(4(0(4(1(1(1(4(2(2(1(1(z0)))))))))))))))), 2'(2(3(1(4(0(4(1(1(1(4(2(2(1(1(z0))))))))))))))), 2'(3(1(4(0(4(1(1(1(4(2(2(1(1(z0)))))))))))))), 3'(1(4(0(4(1(1(1(4(2(2(1(1(z0))))))))))))), 1'(4(0(4(1(1(1(4(2(2(1(1(z0)))))))))))), 4'(0(4(1(1(1(4(2(2(1(1(z0))))))))))), 0'(4(1(1(1(4(2(2(1(1(z0)))))))))), 4'(1(1(1(4(2(2(1(1(z0))))))))), 1'(1(1(4(2(2(1(1(z0)))))))), 1'(1(4(2(2(1(1(z0))))))), 1'(4(2(2(1(1(z0)))))), 4'(2(2(1(1(z0))))), 2'(2(1(1(z0)))), 2'(1(1(z0))), 1'(1(z0)), 1'(z0))
   0'(c_1(c_4(c_2(c_3(c_1(c_1(c_2(c_3(c_2(c_3(c_1(c_0(c_1(c_0(c_2(c_0(c_2(c_3(c_2(z0)))))))))))))))))))) -> c12(3'(1(3(2(0(4(1(3(2(1(0(4(0(4(4(3(2(1(4(3(z0)))))))))))))))))))), 1'(3(2(0(4(1(3(2(1(0(4(0(4(4(3(2(1(4(3(z0))))))))))))))))))), 3'(2(0(4(1(3(2(1(0(4(0(4(4(3(2(1(4(3(z0)))))))))))))))))), 2'(0(4(1(3(2(1(0(4(0(4(4(3(2(1(4(3(z0))))))))))))))))), 0'(4(1(3(2(1(0(4(0(4(4(3(2(1(4(3(z0)))))))))))))))), 4'(1(3(2(1(0(4(0(4(4(3(2(1(4(3(z0))))))))))))))), 1'(3(2(1(0(4(0(4(4(3(2(1(4(3(z0)))))))))))))), 3'(2(1(0(4(0(4(4(3(2(1(4(3(z0))))))))))))), 2'(1(0(4(0(4(4(3(2(1(4(3(z0)))))))))))), 1'(0(4(0(4(4(3(2(1(4(3(z0))))))))))), 0'(4(0(4(4(3(2(1(4(3(z0)))))))))), 4'(0(4(4(3(2(1(4(3(z0))))))))), 0'(4(4(3(2(1(4(3(z0)))))))), 4'(4(3(2(1(4(3(z0))))))), 4'(3(2(1(4(3(z0)))))), 3'(2(1(4(3(z0))))), 2'(1(4(3(z0)))), 1'(4(3(z0))), 4'(3(z0)), 3'(z0))
   0'(c_3(c_0(c_0(c_1(c_1(c_4(c_3(c_4(c_3(c_0(c_4(c_2(c_1(c_4(c_3(c_4(c_2(c_1(c_2(z0)))))))))))))))))))) -> c13(1'(4(0(1(2(2(2(3(4(4(2(4(2(2(1(3(1(4(2(4(z0)))))))))))))))))))), 4'(0(1(2(2(2(3(4(4(2(4(2(2(1(3(1(4(2(4(z0))))))))))))))))))), 0'(1(2(2(2(3(4(4(2(4(2(2(1(3(1(4(2(4(z0)))))))))))))))))), 1'(2(2(2(3(4(4(2(4(2(2(1(3(1(4(2(4(z0))))))))))))))))), 2'(2(2(3(4(4(2(4(2(2(1(3(1(4(2(4(z0)))))))))))))))), 2'(2(3(4(4(2(4(2(2(1(3(1(4(2(4(z0))))))))))))))), 2'(3(4(4(2(4(2(2(1(3(1(4(2(4(z0)))))))))))))), 3'(4(4(2(4(2(2(1(3(1(4(2(4(z0))))))))))))), 4'(4(2(4(2(2(1(3(1(4(2(4(z0)))))))))))), 4'(2(4(2(2(1(3(1(4(2(4(z0))))))))))), 2'(4(2(2(1(3(1(4(2(4(z0)))))))))), 4'(2(2(1(3(1(4(2(4(z0))))))))), 2'(2(1(3(1(4(2(4(z0)))))))), 2'(1(3(1(4(2(4(z0))))))), 1'(3(1(4(2(4(z0)))))), 3'(1(4(2(4(z0))))), 1'(4(2(4(z0)))), 4'(2(4(z0))), 2'(4(z0)), 4'(z0))
   0'(c_0(c_0(c_0(c_1(c_0(c_2(c_2(c_3(c_2(c_1(c_1(c_0(c_3(c_2(c_1(c_1(c_1(c_2(c_4(z0)))))))))))))))))))) -> c14(0'(3(2(3(3(2(1(4(2(2(2(1(0(0(2(0(1(2(2(4(z0)))))))))))))))))))), 3'(2(3(3(2(1(4(2(2(2(1(0(0(2(0(1(2(2(4(z0))))))))))))))))))), 2'(3(3(2(1(4(2(2(2(1(0(0(2(0(1(2(2(4(z0)))))))))))))))))), 3'(3(2(1(4(2(2(2(1(0(0(2(0(1(2(2(4(z0))))))))))))))))), 3'(2(1(4(2(2(2(1(0(0(2(0(1(2(2(4(z0)))))))))))))))), 2'(1(4(2(2(2(1(0(0(2(0(1(2(2(4(z0))))))))))))))), 1'(4(2(2(2(1(0(0(2(0(1(2(2(4(z0)))))))))))))), 4'(2(2(2(1(0(0(2(0(1(2(2(4(z0))))))))))))), 2'(2(2(1(0(0(2(0(1(2(2(4(z0)))))))))))), 2'(2(1(0(0(2(0(1(2(2(4(z0))))))))))), 2'(1(0(0(2(0(1(2(2(4(z0)))))))))), 1'(0(0(2(0(1(2(2(4(z0))))))))), 0'(0(2(0(1(2(2(4(z0)))))))), 0'(2(0(1(2(2(4(z0))))))), 2'(0(1(2(2(4(z0)))))), 0'(1(2(2(4(z0))))), 1'(2(2(4(z0)))), 2'(2(4(z0))), 2'(4(z0)), 4'(z0))
   0'(c_2(c_1(c_4(c_2(c_4(c_3(c_4(c_0(c_0(c_3(c_0(c_2(c_4(c_1(c_4(c_4(c_0(c_1(c_1(z0)))))))))))))))))))) -> c15(4'(4(3(3(1(4(0(3(2(3(3(1(4(0(1(2(1(4(1(0(z0)))))))))))))))))))), 4'(3(3(1(4(0(3(2(3(3(1(4(0(1(2(1(4(1(0(z0))))))))))))))))))), 3'(3(1(4(0(3(2(3(3(1(4(0(1(2(1(4(1(0(z0)))))))))))))))))), 3'(1(4(0(3(2(3(3(1(4(0(1(2(1(4(1(0(z0))))))))))))))))), 1'(4(0(3(2(3(3(1(4(0(1(2(1(4(1(0(z0)))))))))))))))), 4'(0(3(2(3(3(1(4(0(1(2(1(4(1(0(z0))))))))))))))), 0'(3(2(3(3(1(4(0(1(2(1(4(1(0(z0)))))))))))))), 3'(2(3(3(1(4(0(1(2(1(4(1(0(z0))))))))))))), 2'(3(3(1(4(0(1(2(1(4(1(0(z0)))))))))))), 3'(3(1(4(0(1(2(1(4(1(0(z0))))))))))), 3'(1(4(0(1(2(1(4(1(0(z0)))))))))), 1'(4(0(1(2(1(4(1(0(z0))))))))), 4'(0(1(2(1(4(1(0(z0)))))))), 0'(1(2(1(4(1(0(z0))))))), 1'(2(1(4(1(0(z0)))))), 2'(1(4(1(0(z0))))), 1'(4(1(0(z0)))), 4'(1(0(z0))), 1'(0(z0)), 0'(z0))
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   4'(c_0(c_2(c_1(c_3(c_3(c_4(c_4(c_0(c_0(c_0(c_3(c_2(c_3(c_4(c_4(c_4(c_3(c_2(c_3(z0)))))))))))))))))))) -> c106(4'(0(2(1(4(0(2(0(0(4(0(4(1(0(2(3(4(4(1(2(z0)))))))))))))))))))), 0'(2(1(4(0(2(0(0(4(0(4(1(0(2(3(4(4(1(2(z0))))))))))))))))))), 2'(1(4(0(2(0(0(4(0(4(1(0(2(3(4(4(1(2(z0)))))))))))))))))), 1'(4(0(2(0(0(4(0(4(1(0(2(3(4(4(1(2(z0))))))))))))))))), 4'(0(2(0(0(4(0(4(1(0(2(3(4(4(1(2(z0)))))))))))))))), 0'(2(0(0(4(0(4(1(0(2(3(4(4(1(2(z0))))))))))))))), 2'(0(0(4(0(4(1(0(2(3(4(4(1(2(z0)))))))))))))), 0'(0(4(0(4(1(0(2(3(4(4(1(2(z0))))))))))))), 0'(4(0(4(1(0(2(3(4(4(1(2(z0)))))))))))), 4'(0(4(1(0(2(3(4(4(1(2(z0))))))))))), 0'(4(1(0(2(3(4(4(1(2(z0)))))))))), 4'(1(0(2(3(4(4(1(2(z0))))))))), 1'(0(2(3(4(4(1(2(z0)))))))), 0'(2(3(4(4(1(2(z0))))))), 2'(3(4(4(1(2(z0)))))), 3'(4(4(1(2(z0))))), 4'(4(1(2(z0)))), 4'(1(2(z0))), 1'(2(z0)), 2'(z0))
   4'(c_1(c_1(c_0(c_3(c_0(c_1(c_3(c_0(c_4(c_4(c_2(c_1(c_2(c_4(c_2(c_0(c_0(c_3(c_0(z0)))))))))))))))))))) -> c107(2'(3(2(0(1(4(4(4(3(2(3(3(1(4(3(4(2(0(1(3(z0)))))))))))))))))))), 3'(2(0(1(4(4(4(3(2(3(3(1(4(3(4(2(0(1(3(z0))))))))))))))))))), 2'(0(1(4(4(4(3(2(3(3(1(4(3(4(2(0(1(3(z0)))))))))))))))))), 0'(1(4(4(4(3(2(3(3(1(4(3(4(2(0(1(3(z0))))))))))))))))), 1'(4(4(4(3(2(3(3(1(4(3(4(2(0(1(3(z0)))))))))))))))), 4'(4(4(3(2(3(3(1(4(3(4(2(0(1(3(z0))))))))))))))), 4'(4(3(2(3(3(1(4(3(4(2(0(1(3(z0)))))))))))))), 4'(3(2(3(3(1(4(3(4(2(0(1(3(z0))))))))))))), 3'(2(3(3(1(4(3(4(2(0(1(3(z0)))))))))))), 2'(3(3(1(4(3(4(2(0(1(3(z0))))))))))), 3'(3(1(4(3(4(2(0(1(3(z0)))))))))), 3'(1(4(3(4(2(0(1(3(z0))))))))), 1'(4(3(4(2(0(1(3(z0)))))))), 4'(3(4(2(0(1(3(z0))))))), 3'(4(2(0(1(3(z0)))))), 4'(2(0(1(3(z0))))), 2'(0(1(3(z0)))), 0'(1(3(z0))), 1'(3(z0)), 3'(z0))
   4'(c_3(c_3(c_2(c_2(c_1(c_3(c_4(c_4(c_2(c_4(c_2(c_3(c_0(c_0(c_2(c_2(c_3(c_2(c_4(z0)))))))))))))))))))) -> c108(3'(2(2(1(1(0(2(2(4(0(0(0(2(1(3(1(0(4(3(4(z0)))))))))))))))))))), 2'(2(1(1(0(2(2(4(0(0(0(2(1(3(1(0(4(3(4(z0))))))))))))))))))), 2'(1(1(0(2(2(4(0(0(0(2(1(3(1(0(4(3(4(z0)))))))))))))))))), 1'(1(0(2(2(4(0(0(0(2(1(3(1(0(4(3(4(z0))))))))))))))))), 1'(0(2(2(4(0(0(0(2(1(3(1(0(4(3(4(z0)))))))))))))))), 0'(2(2(4(0(0(0(2(1(3(1(0(4(3(4(z0))))))))))))))), 2'(2(4(0(0(0(2(1(3(1(0(4(3(4(z0)))))))))))))), 2'(4(0(0(0(2(1(3(1(0(4(3(4(z0))))))))))))), 4'(0(0(0(2(1(3(1(0(4(3(4(z0)))))))))))), 0'(0(0(2(1(3(1(0(4(3(4(z0))))))))))), 0'(0(2(1(3(1(0(4(3(4(z0)))))))))), 0'(2(1(3(1(0(4(3(4(z0))))))))), 2'(1(3(1(0(4(3(4(z0)))))))), 1'(3(1(0(4(3(4(z0))))))), 3'(1(0(4(3(4(z0)))))), 1'(0(4(3(4(z0))))), 0'(4(3(4(z0)))), 4'(3(4(z0))), 3'(4(z0)), 4'(z0))
   4'(c_1(c_0(c_2(c_0(c_3(c_2(c_1(c_1(c_3(c_1(c_1(c_0(c_1(c_1(c_2(c_0(c_0(c_4(c_4(z0)))))))))))))))))))) -> c109(2'(1(4(2(2(2(2(2(2(2(0(1(0(3(1(0(1(1(4(0(z0)))))))))))))))))))), 1'(4(2(2(2(2(2(2(2(0(1(0(3(1(0(1(1(4(0(z0))))))))))))))))))), 4'(2(2(2(2(2(2(2(0(1(0(3(1(0(1(1(4(0(z0)))))))))))))))))), 2'(2(2(2(2(2(2(0(1(0(3(1(0(1(1(4(0(z0))))))))))))))))), 2'(2(2(2(2(2(0(1(0(3(1(0(1(1(4(0(z0)))))))))))))))), 2'(2(2(2(2(0(1(0(3(1(0(1(1(4(0(z0))))))))))))))), 2'(2(2(2(0(1(0(3(1(0(1(1(4(0(z0)))))))))))))), 2'(2(2(0(1(0(3(1(0(1(1(4(0(z0))))))))))))), 2'(2(0(1(0(3(1(0(1(1(4(0(z0)))))))))))), 2'(0(1(0(3(1(0(1(1(4(0(z0))))))))))), 0'(1(0(3(1(0(1(1(4(0(z0)))))))))), 1'(0(3(1(0(1(1(4(0(z0))))))))), 0'(3(1(0(1(1(4(0(z0)))))))), 3'(1(0(1(1(4(0(z0))))))), 1'(0(1(1(4(0(z0)))))), 0'(1(1(4(0(z0))))), 1'(1(4(0(z0)))), 1'(4(0(z0))), 4'(0(z0)), 0'(z0))
   4'(c_1(c_1(c_1(c_2(c_2(c_3(c_3(c_3(c_4(c_4(c_0(c_2(c_0(c_2(c_1(c_0(c_1(c_0(c_0(z0)))))))))))))))))))) -> c110(1'(1(0(3(4(0(2(3(1(4(2(4(1(0(4(0(3(1(1(4(z0)))))))))))))))))))), 1'(0(3(4(0(2(3(1(4(2(4(1(0(4(0(3(1(1(4(z0))))))))))))))))))), 0'(3(4(0(2(3(1(4(2(4(1(0(4(0(3(1(1(4(z0)))))))))))))))))), 3'(4(0(2(3(1(4(2(4(1(0(4(0(3(1(1(4(z0))))))))))))))))), 4'(0(2(3(1(4(2(4(1(0(4(0(3(1(1(4(z0)))))))))))))))), 0'(2(3(1(4(2(4(1(0(4(0(3(1(1(4(z0))))))))))))))), 2'(3(1(4(2(4(1(0(4(0(3(1(1(4(z0)))))))))))))), 3'(1(4(2(4(1(0(4(0(3(1(1(4(z0))))))))))))), 1'(4(2(4(1(0(4(0(3(1(1(4(z0)))))))))))), 4'(2(4(1(0(4(0(3(1(1(4(z0))))))))))), 2'(4(1(0(4(0(3(1(1(4(z0)))))))))), 4'(1(0(4(0(3(1(1(4(z0))))))))), 1'(0(4(0(3(1(1(4(z0)))))))), 0'(4(0(3(1(1(4(z0))))))), 4'(0(3(1(1(4(z0)))))), 0'(3(1(1(4(z0))))), 3'(1(1(4(z0)))), 1'(1(4(z0))), 1'(4(z0)), 4'(z0))
   4'(c_4(c_1(c_1(c_2(c_0(c_1(c_0(c_2(c_2(c_1(c_0(c_0(c_1(c_0(c_0(c_1(c_1(c_3(c_2(z0)))))))))))))))))))) -> c111(3'(1(4(1(4(4(3(1(2(3(3(2(1(3(3(1(1(3(2(4(z0)))))))))))))))))))), 1'(4(1(4(4(3(1(2(3(3(2(1(3(3(1(1(3(2(4(z0))))))))))))))))))), 4'(1(4(4(3(1(2(3(3(2(1(3(3(1(1(3(2(4(z0)))))))))))))))))), 1'(4(4(3(1(2(3(3(2(1(3(3(1(1(3(2(4(z0))))))))))))))))), 4'(4(3(1(2(3(3(2(1(3(3(1(1(3(2(4(z0)))))))))))))))), 4'(3(1(2(3(3(2(1(3(3(1(1(3(2(4(z0))))))))))))))), 3'(1(2(3(3(2(1(3(3(1(1(3(2(4(z0)))))))))))))), 1'(2(3(3(2(1(3(3(1(1(3(2(4(z0))))))))))))), 2'(3(3(2(1(3(3(1(1(3(2(4(z0)))))))))))), 3'(3(2(1(3(3(1(1(3(2(4(z0))))))))))), 3'(2(1(3(3(1(1(3(2(4(z0)))))))))), 2'(1(3(3(1(1(3(2(4(z0))))))))), 1'(3(3(1(1(3(2(4(z0)))))))), 3'(3(1(1(3(2(4(z0))))))), 3'(1(1(3(2(4(z0)))))), 1'(1(3(2(4(z0))))), 1'(3(2(4(z0)))), 3'(2(4(z0))), 2'(4(z0)), 4'(z0))
   4'(c_4(c_3(c_4(c_4(c_2(c_4(c_1(c_1(c_0(c_2(c_3(c_1(c_0(c_3(c_1(c_2(c_2(c_4(c_0(z0)))))))))))))))))))) -> c112(1'(2(1(1(1(2(4(1(4(3(1(4(1(4(3(2(0(4(2(2(z0)))))))))))))))))))), 2'(1(1(1(2(4(1(4(3(1(4(1(4(3(2(0(4(2(2(z0))))))))))))))))))), 1'(1(1(2(4(1(4(3(1(4(1(4(3(2(0(4(2(2(z0)))))))))))))))))), 1'(1(2(4(1(4(3(1(4(1(4(3(2(0(4(2(2(z0))))))))))))))))), 1'(2(4(1(4(3(1(4(1(4(3(2(0(4(2(2(z0)))))))))))))))), 2'(4(1(4(3(1(4(1(4(3(2(0(4(2(2(z0))))))))))))))), 4'(1(4(3(1(4(1(4(3(2(0(4(2(2(z0)))))))))))))), 1'(4(3(1(4(1(4(3(2(0(4(2(2(z0))))))))))))), 4'(3(1(4(1(4(3(2(0(4(2(2(z0)))))))))))), 3'(1(4(1(4(3(2(0(4(2(2(z0))))))))))), 1'(4(1(4(3(2(0(4(2(2(z0)))))))))), 4'(1(4(3(2(0(4(2(2(z0))))))))), 1'(4(3(2(0(4(2(2(z0)))))))), 4'(3(2(0(4(2(2(z0))))))), 3'(2(0(4(2(2(z0)))))), 2'(0(4(2(2(z0))))), 0'(4(2(2(z0)))), 4'(2(2(z0))), 2'(2(z0)), 2'(z0))
   4'(c_0(c_4(c_3(c_0(c_0(c_2(c_1(c_2(c_2(c_0(c_3(c_0(c_3(c_1(c_1(c_1(c_3(c_3(c_3(z0)))))))))))))))))))) -> c113(4'(1(2(1(1(2(2(1(1(2(0(1(0(2(4(4(1(1(1(0(z0)))))))))))))))))))), 1'(2(1(1(2(2(1(1(2(0(1(0(2(4(4(1(1(1(0(z0))))))))))))))))))), 2'(1(1(2(2(1(1(2(0(1(0(2(4(4(1(1(1(0(z0)))))))))))))))))), 1'(1(2(2(1(1(2(0(1(0(2(4(4(1(1(1(0(z0))))))))))))))))), 1'(2(2(1(1(2(0(1(0(2(4(4(1(1(1(0(z0)))))))))))))))), 2'(2(1(1(2(0(1(0(2(4(4(1(1(1(0(z0))))))))))))))), 2'(1(1(2(0(1(0(2(4(4(1(1(1(0(z0)))))))))))))), 1'(1(2(0(1(0(2(4(4(1(1(1(0(z0))))))))))))), 1'(2(0(1(0(2(4(4(1(1(1(0(z0)))))))))))), 2'(0(1(0(2(4(4(1(1(1(0(z0))))))))))), 0'(1(0(2(4(4(1(1(1(0(z0)))))))))), 1'(0(2(4(4(1(1(1(0(z0))))))))), 0'(2(4(4(1(1(1(0(z0)))))))), 2'(4(4(1(1(1(0(z0))))))), 4'(4(1(1(1(0(z0)))))), 4'(1(1(1(0(z0))))), 1'(1(1(0(z0)))), 1'(1(0(z0))), 1'(0(z0)), 0'(z0))
   ENCODE_0(z0) -> c10(0'(encArg(z0)))
   ENCODE_1(z0) -> c10(1'(encArg(z0)))
   ENCODE_2(z0) -> c10(2'(encArg(z0)))
   ENCODE_3(z0) -> c10(3'(encArg(z0)))
   ENCODE_4(z0) -> c10(4'(encArg(z0)))
   ENCARG(cons_0(cons_0(z0))) -> c(0'(0(encArg(z0))), ENCARG(cons_0(z0)))
   ENCARG(cons_0(cons_1(z0))) -> c(0'(1(encArg(z0))), ENCARG(cons_1(z0)))
   ENCARG(cons_0(cons_2(z0))) -> c(0'(2(encArg(z0))), ENCARG(cons_2(z0)))
   ENCARG(cons_0(cons_3(z0))) -> c(0'(3(encArg(z0))), ENCARG(cons_3(z0)))
   ENCARG(cons_0(cons_4(z0))) -> c(0'(4(encArg(z0))), ENCARG(cons_4(z0)))
   ENCARG(cons_1(cons_0(z0))) -> c1(1'(0(encArg(z0))), ENCARG(cons_0(z0)))
   ENCARG(cons_1(cons_1(z0))) -> c1(1'(1(encArg(z0))), ENCARG(cons_1(z0)))
   ENCARG(cons_1(cons_2(z0))) -> c1(1'(2(encArg(z0))), ENCARG(cons_2(z0)))
   ENCARG(cons_1(cons_3(z0))) -> c1(1'(3(encArg(z0))), ENCARG(cons_3(z0)))
   ENCARG(cons_1(cons_4(z0))) -> c1(1'(4(encArg(z0))), ENCARG(cons_4(z0)))
S tuples:
   0'(c_4(c_4(c_4(c_0(c_2(c_2(c_1(c_3(c_2(c_1(c_0(c_4(c_1(c_3(c_0(c_1(c_3(c_4(c_4(z0)))))))))))))))))))) -> c11(3'(2(3(0(1(2(2(3(1(4(0(4(1(1(1(4(2(2(1(1(z0)))))))))))))))))))), 2'(3(0(1(2(2(3(1(4(0(4(1(1(1(4(2(2(1(1(z0))))))))))))))))))), 3'(0(1(2(2(3(1(4(0(4(1(1(1(4(2(2(1(1(z0)))))))))))))))))), 0'(1(2(2(3(1(4(0(4(1(1(1(4(2(2(1(1(z0))))))))))))))))), 1'(2(2(3(1(4(0(4(1(1(1(4(2(2(1(1(z0)))))))))))))))), 2'(2(3(1(4(0(4(1(1(1(4(2(2(1(1(z0))))))))))))))), 2'(3(1(4(0(4(1(1(1(4(2(2(1(1(z0)))))))))))))), 3'(1(4(0(4(1(1(1(4(2(2(1(1(z0))))))))))))), 1'(4(0(4(1(1(1(4(2(2(1(1(z0)))))))))))), 4'(0(4(1(1(1(4(2(2(1(1(z0))))))))))), 0'(4(1(1(1(4(2(2(1(1(z0)))))))))), 4'(1(1(1(4(2(2(1(1(z0))))))))), 1'(1(1(4(2(2(1(1(z0)))))))), 1'(1(4(2(2(1(1(z0))))))), 1'(4(2(2(1(1(z0)))))), 4'(2(2(1(1(z0))))), 2'(2(1(1(z0)))), 2'(1(1(z0))), 1'(1(z0)), 1'(z0))
   0'(c_1(c_4(c_2(c_3(c_1(c_1(c_2(c_3(c_2(c_3(c_1(c_0(c_1(c_0(c_2(c_0(c_2(c_3(c_2(z0)))))))))))))))))))) -> c12(3'(1(3(2(0(4(1(3(2(1(0(4(0(4(4(3(2(1(4(3(z0)))))))))))))))))))), 1'(3(2(0(4(1(3(2(1(0(4(0(4(4(3(2(1(4(3(z0))))))))))))))))))), 3'(2(0(4(1(3(2(1(0(4(0(4(4(3(2(1(4(3(z0)))))))))))))))))), 2'(0(4(1(3(2(1(0(4(0(4(4(3(2(1(4(3(z0))))))))))))))))), 0'(4(1(3(2(1(0(4(0(4(4(3(2(1(4(3(z0)))))))))))))))), 4'(1(3(2(1(0(4(0(4(4(3(2(1(4(3(z0))))))))))))))), 1'(3(2(1(0(4(0(4(4(3(2(1(4(3(z0)))))))))))))), 3'(2(1(0(4(0(4(4(3(2(1(4(3(z0))))))))))))), 2'(1(0(4(0(4(4(3(2(1(4(3(z0)))))))))))), 1'(0(4(0(4(4(3(2(1(4(3(z0))))))))))), 0'(4(0(4(4(3(2(1(4(3(z0)))))))))), 4'(0(4(4(3(2(1(4(3(z0))))))))), 0'(4(4(3(2(1(4(3(z0)))))))), 4'(4(3(2(1(4(3(z0))))))), 4'(3(2(1(4(3(z0)))))), 3'(2(1(4(3(z0))))), 2'(1(4(3(z0)))), 1'(4(3(z0))), 4'(3(z0)), 3'(z0))
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   4'(c_3(c_2(c_3(c_2(c_2(c_1(c_2(c_0(c_3(c_0(c_0(c_0(c_1(c_1(c_3(c_2(c_4(c_3(c_4(z0)))))))))))))))))))) -> c105(1'(3(1(4(0(2(1(0(0(1(3(4(0(3(3(4(2(1(2(1(z0)))))))))))))))))))), 3'(1(4(0(2(1(0(0(1(3(4(0(3(3(4(2(1(2(1(z0))))))))))))))))))), 1'(4(0(2(1(0(0(1(3(4(0(3(3(4(2(1(2(1(z0)))))))))))))))))), 4'(0(2(1(0(0(1(3(4(0(3(3(4(2(1(2(1(z0))))))))))))))))), 0'(2(1(0(0(1(3(4(0(3(3(4(2(1(2(1(z0)))))))))))))))), 2'(1(0(0(1(3(4(0(3(3(4(2(1(2(1(z0))))))))))))))), 1'(0(0(1(3(4(0(3(3(4(2(1(2(1(z0)))))))))))))), 0'(0(1(3(4(0(3(3(4(2(1(2(1(z0))))))))))))), 0'(1(3(4(0(3(3(4(2(1(2(1(z0)))))))))))), 1'(3(4(0(3(3(4(2(1(2(1(z0))))))))))), 3'(4(0(3(3(4(2(1(2(1(z0)))))))))), 4'(0(3(3(4(2(1(2(1(z0))))))))), 0'(3(3(4(2(1(2(1(z0)))))))), 3'(3(4(2(1(2(1(z0))))))), 3'(4(2(1(2(1(z0)))))), 4'(2(1(2(1(z0))))), 2'(1(2(1(z0)))), 1'(2(1(z0))), 2'(1(z0)), 1'(z0))
   4'(c_0(c_2(c_1(c_3(c_3(c_4(c_4(c_0(c_0(c_0(c_3(c_2(c_3(c_4(c_4(c_4(c_3(c_2(c_3(z0)))))))))))))))))))) -> c106(4'(0(2(1(4(0(2(0(0(4(0(4(1(0(2(3(4(4(1(2(z0)))))))))))))))))))), 0'(2(1(4(0(2(0(0(4(0(4(1(0(2(3(4(4(1(2(z0))))))))))))))))))), 2'(1(4(0(2(0(0(4(0(4(1(0(2(3(4(4(1(2(z0)))))))))))))))))), 1'(4(0(2(0(0(4(0(4(1(0(2(3(4(4(1(2(z0))))))))))))))))), 4'(0(2(0(0(4(0(4(1(0(2(3(4(4(1(2(z0)))))))))))))))), 0'(2(0(0(4(0(4(1(0(2(3(4(4(1(2(z0))))))))))))))), 2'(0(0(4(0(4(1(0(2(3(4(4(1(2(z0)))))))))))))), 0'(0(4(0(4(1(0(2(3(4(4(1(2(z0))))))))))))), 0'(4(0(4(1(0(2(3(4(4(1(2(z0)))))))))))), 4'(0(4(1(0(2(3(4(4(1(2(z0))))))))))), 0'(4(1(0(2(3(4(4(1(2(z0)))))))))), 4'(1(0(2(3(4(4(1(2(z0))))))))), 1'(0(2(3(4(4(1(2(z0)))))))), 0'(2(3(4(4(1(2(z0))))))), 2'(3(4(4(1(2(z0)))))), 3'(4(4(1(2(z0))))), 4'(4(1(2(z0)))), 4'(1(2(z0))), 1'(2(z0)), 2'(z0))
   4'(c_1(c_1(c_0(c_3(c_0(c_1(c_3(c_0(c_4(c_4(c_2(c_1(c_2(c_4(c_2(c_0(c_0(c_3(c_0(z0)))))))))))))))))))) -> c107(2'(3(2(0(1(4(4(4(3(2(3(3(1(4(3(4(2(0(1(3(z0)))))))))))))))))))), 3'(2(0(1(4(4(4(3(2(3(3(1(4(3(4(2(0(1(3(z0))))))))))))))))))), 2'(0(1(4(4(4(3(2(3(3(1(4(3(4(2(0(1(3(z0)))))))))))))))))), 0'(1(4(4(4(3(2(3(3(1(4(3(4(2(0(1(3(z0))))))))))))))))), 1'(4(4(4(3(2(3(3(1(4(3(4(2(0(1(3(z0)))))))))))))))), 4'(4(4(3(2(3(3(1(4(3(4(2(0(1(3(z0))))))))))))))), 4'(4(3(2(3(3(1(4(3(4(2(0(1(3(z0)))))))))))))), 4'(3(2(3(3(1(4(3(4(2(0(1(3(z0))))))))))))), 3'(2(3(3(1(4(3(4(2(0(1(3(z0)))))))))))), 2'(3(3(1(4(3(4(2(0(1(3(z0))))))))))), 3'(3(1(4(3(4(2(0(1(3(z0)))))))))), 3'(1(4(3(4(2(0(1(3(z0))))))))), 1'(4(3(4(2(0(1(3(z0)))))))), 4'(3(4(2(0(1(3(z0))))))), 3'(4(2(0(1(3(z0)))))), 4'(2(0(1(3(z0))))), 2'(0(1(3(z0)))), 0'(1(3(z0))), 1'(3(z0)), 3'(z0))
   4'(c_3(c_3(c_2(c_2(c_1(c_3(c_4(c_4(c_2(c_4(c_2(c_3(c_0(c_0(c_2(c_2(c_3(c_2(c_4(z0)))))))))))))))))))) -> c108(3'(2(2(1(1(0(2(2(4(0(0(0(2(1(3(1(0(4(3(4(z0)))))))))))))))))))), 2'(2(1(1(0(2(2(4(0(0(0(2(1(3(1(0(4(3(4(z0))))))))))))))))))), 2'(1(1(0(2(2(4(0(0(0(2(1(3(1(0(4(3(4(z0)))))))))))))))))), 1'(1(0(2(2(4(0(0(0(2(1(3(1(0(4(3(4(z0))))))))))))))))), 1'(0(2(2(4(0(0(0(2(1(3(1(0(4(3(4(z0)))))))))))))))), 0'(2(2(4(0(0(0(2(1(3(1(0(4(3(4(z0))))))))))))))), 2'(2(4(0(0(0(2(1(3(1(0(4(3(4(z0)))))))))))))), 2'(4(0(0(0(2(1(3(1(0(4(3(4(z0))))))))))))), 4'(0(0(0(2(1(3(1(0(4(3(4(z0)))))))))))), 0'(0(0(2(1(3(1(0(4(3(4(z0))))))))))), 0'(0(2(1(3(1(0(4(3(4(z0)))))))))), 0'(2(1(3(1(0(4(3(4(z0))))))))), 2'(1(3(1(0(4(3(4(z0)))))))), 1'(3(1(0(4(3(4(z0))))))), 3'(1(0(4(3(4(z0)))))), 1'(0(4(3(4(z0))))), 0'(4(3(4(z0)))), 4'(3(4(z0))), 3'(4(z0)), 4'(z0))
   4'(c_1(c_0(c_2(c_0(c_3(c_2(c_1(c_1(c_3(c_1(c_1(c_0(c_1(c_1(c_2(c_0(c_0(c_4(c_4(z0)))))))))))))))))))) -> c109(2'(1(4(2(2(2(2(2(2(2(0(1(0(3(1(0(1(1(4(0(z0)))))))))))))))))))), 1'(4(2(2(2(2(2(2(2(0(1(0(3(1(0(1(1(4(0(z0))))))))))))))))))), 4'(2(2(2(2(2(2(2(0(1(0(3(1(0(1(1(4(0(z0)))))))))))))))))), 2'(2(2(2(2(2(2(0(1(0(3(1(0(1(1(4(0(z0))))))))))))))))), 2'(2(2(2(2(2(0(1(0(3(1(0(1(1(4(0(z0)))))))))))))))), 2'(2(2(2(2(0(1(0(3(1(0(1(1(4(0(z0))))))))))))))), 2'(2(2(2(0(1(0(3(1(0(1(1(4(0(z0)))))))))))))), 2'(2(2(0(1(0(3(1(0(1(1(4(0(z0))))))))))))), 2'(2(0(1(0(3(1(0(1(1(4(0(z0)))))))))))), 2'(0(1(0(3(1(0(1(1(4(0(z0))))))))))), 0'(1(0(3(1(0(1(1(4(0(z0)))))))))), 1'(0(3(1(0(1(1(4(0(z0))))))))), 0'(3(1(0(1(1(4(0(z0)))))))), 3'(1(0(1(1(4(0(z0))))))), 1'(0(1(1(4(0(z0)))))), 0'(1(1(4(0(z0))))), 1'(1(4(0(z0)))), 1'(4(0(z0))), 4'(0(z0)), 0'(z0))
   4'(c_1(c_1(c_1(c_2(c_2(c_3(c_3(c_3(c_4(c_4(c_0(c_2(c_0(c_2(c_1(c_0(c_1(c_0(c_0(z0)))))))))))))))))))) -> c110(1'(1(0(3(4(0(2(3(1(4(2(4(1(0(4(0(3(1(1(4(z0)))))))))))))))))))), 1'(0(3(4(0(2(3(1(4(2(4(1(0(4(0(3(1(1(4(z0))))))))))))))))))), 0'(3(4(0(2(3(1(4(2(4(1(0(4(0(3(1(1(4(z0)))))))))))))))))), 3'(4(0(2(3(1(4(2(4(1(0(4(0(3(1(1(4(z0))))))))))))))))), 4'(0(2(3(1(4(2(4(1(0(4(0(3(1(1(4(z0)))))))))))))))), 0'(2(3(1(4(2(4(1(0(4(0(3(1(1(4(z0))))))))))))))), 2'(3(1(4(2(4(1(0(4(0(3(1(1(4(z0)))))))))))))), 3'(1(4(2(4(1(0(4(0(3(1(1(4(z0))))))))))))), 1'(4(2(4(1(0(4(0(3(1(1(4(z0)))))))))))), 4'(2(4(1(0(4(0(3(1(1(4(z0))))))))))), 2'(4(1(0(4(0(3(1(1(4(z0)))))))))), 4'(1(0(4(0(3(1(1(4(z0))))))))), 1'(0(4(0(3(1(1(4(z0)))))))), 0'(4(0(3(1(1(4(z0))))))), 4'(0(3(1(1(4(z0)))))), 0'(3(1(1(4(z0))))), 3'(1(1(4(z0)))), 1'(1(4(z0))), 1'(4(z0)), 4'(z0))
   4'(c_4(c_1(c_1(c_2(c_0(c_1(c_0(c_2(c_2(c_1(c_0(c_0(c_1(c_0(c_0(c_1(c_1(c_3(c_2(z0)))))))))))))))))))) -> c111(3'(1(4(1(4(4(3(1(2(3(3(2(1(3(3(1(1(3(2(4(z0)))))))))))))))))))), 1'(4(1(4(4(3(1(2(3(3(2(1(3(3(1(1(3(2(4(z0))))))))))))))))))), 4'(1(4(4(3(1(2(3(3(2(1(3(3(1(1(3(2(4(z0)))))))))))))))))), 1'(4(4(3(1(2(3(3(2(1(3(3(1(1(3(2(4(z0))))))))))))))))), 4'(4(3(1(2(3(3(2(1(3(3(1(1(3(2(4(z0)))))))))))))))), 4'(3(1(2(3(3(2(1(3(3(1(1(3(2(4(z0))))))))))))))), 3'(1(2(3(3(2(1(3(3(1(1(3(2(4(z0)))))))))))))), 1'(2(3(3(2(1(3(3(1(1(3(2(4(z0))))))))))))), 2'(3(3(2(1(3(3(1(1(3(2(4(z0)))))))))))), 3'(3(2(1(3(3(1(1(3(2(4(z0))))))))))), 3'(2(1(3(3(1(1(3(2(4(z0)))))))))), 2'(1(3(3(1(1(3(2(4(z0))))))))), 1'(3(3(1(1(3(2(4(z0)))))))), 3'(3(1(1(3(2(4(z0))))))), 3'(1(1(3(2(4(z0)))))), 1'(1(3(2(4(z0))))), 1'(3(2(4(z0)))), 3'(2(4(z0))), 2'(4(z0)), 4'(z0))
   4'(c_4(c_3(c_4(c_4(c_2(c_4(c_1(c_1(c_0(c_2(c_3(c_1(c_0(c_3(c_1(c_2(c_2(c_4(c_0(z0)))))))))))))))))))) -> c112(1'(2(1(1(1(2(4(1(4(3(1(4(1(4(3(2(0(4(2(2(z0)))))))))))))))))))), 2'(1(1(1(2(4(1(4(3(1(4(1(4(3(2(0(4(2(2(z0))))))))))))))))))), 1'(1(1(2(4(1(4(3(1(4(1(4(3(2(0(4(2(2(z0)))))))))))))))))), 1'(1(2(4(1(4(3(1(4(1(4(3(2(0(4(2(2(z0))))))))))))))))), 1'(2(4(1(4(3(1(4(1(4(3(2(0(4(2(2(z0)))))))))))))))), 2'(4(1(4(3(1(4(1(4(3(2(0(4(2(2(z0))))))))))))))), 4'(1(4(3(1(4(1(4(3(2(0(4(2(2(z0)))))))))))))), 1'(4(3(1(4(1(4(3(2(0(4(2(2(z0))))))))))))), 4'(3(1(4(1(4(3(2(0(4(2(2(z0)))))))))))), 3'(1(4(1(4(3(2(0(4(2(2(z0))))))))))), 1'(4(1(4(3(2(0(4(2(2(z0)))))))))), 4'(1(4(3(2(0(4(2(2(z0))))))))), 1'(4(3(2(0(4(2(2(z0)))))))), 4'(3(2(0(4(2(2(z0))))))), 3'(2(0(4(2(2(z0)))))), 2'(0(4(2(2(z0))))), 0'(4(2(2(z0)))), 4'(2(2(z0))), 2'(2(z0)), 2'(z0))
   4'(c_0(c_4(c_3(c_0(c_0(c_2(c_1(c_2(c_2(c_0(c_3(c_0(c_3(c_1(c_1(c_1(c_3(c_3(c_3(z0)))))))))))))))))))) -> c113(4'(1(2(1(1(2(2(1(1(2(0(1(0(2(4(4(1(1(1(0(z0)))))))))))))))))))), 1'(2(1(1(2(2(1(1(2(0(1(0(2(4(4(1(1(1(0(z0))))))))))))))))))), 2'(1(1(2(2(1(1(2(0(1(0(2(4(4(1(1(1(0(z0)))))))))))))))))), 1'(1(2(2(1(1(2(0(1(0(2(4(4(1(1(1(0(z0))))))))))))))))), 1'(2(2(1(1(2(0(1(0(2(4(4(1(1(1(0(z0)))))))))))))))), 2'(2(1(1(2(0(1(0(2(4(4(1(1(1(0(z0))))))))))))))), 2'(1(1(2(0(1(0(2(4(4(1(1(1(0(z0)))))))))))))), 1'(1(2(0(1(0(2(4(4(1(1(1(0(z0))))))))))))), 1'(2(0(1(0(2(4(4(1(1(1(0(z0)))))))))))), 2'(0(1(0(2(4(4(1(1(1(0(z0))))))))))), 0'(1(0(2(4(4(1(1(1(0(z0)))))))))), 1'(0(2(4(4(1(1(1(0(z0))))))))), 0'(2(4(4(1(1(1(0(z0)))))))), 2'(4(4(1(1(1(0(z0))))))), 4'(4(1(1(1(0(z0)))))), 4'(1(1(1(0(z0))))), 1'(1(1(0(z0)))), 1'(1(0(z0))), 1'(0(z0)), 0'(z0))
K tuples:none
Defined Rule Symbols:   encArg_1, 0_1, 1_1, 2_1, 3_1, 4_1

Defined Pair Symbols:   ENCARG_1, 0'_1, 1'_1, 2'_1, 3'_1, 4'_1, ENCODE_0_1, ENCODE_1_1, ENCODE_2_1, ENCODE_3_1, ENCODE_4_1

Compound Symbols:   c2_2, c3_2, c4_2, c11_20, c12_20, c13_20, c14_20, c15_20, c16_20, c17_20, c18_20, c19_20, c20_20, c21_20, c22_20, c23_20, c24_20, c25_20, c26_20, c27_20, c28_20, c29_20, c30_20, c32_20, c33_20, c34_20, c35_20, c36_20, c37_20, c38_20, c39_20, c40_20, c41_20, c42_20, c44_20, c45_20, c46_20, c47_20, c48_20, c49_20, c50_20, c51_20, c52_20, c53_20, c54_20, c55_20, c56_20, c57_20, c58_20, c59_20, c60_20, c61_20, c62_20, c63_20, c65_20, c66_20, c67_20, c68_20, c69_20, c70_20, c71_20, c72_20, c73_20, c74_20, c75_20, c76_20, c77_20, c78_20, c79_20, c80_20, c81_20, c82_20, c83_20, c84_20, c85_20, c86_20, c87_20, c88_20, c90_20, c91_20, c92_20, c93_20, c94_20, c95_20, c96_20, c97_20, c98_20, c99_20, c100_20, c101_20, c102_20, c103_20, c104_20, c105_20, c106_20, c107_20, c108_20, c109_20, c110_20, c111_20, c112_20, c113_20, c10_1, c_2, c1_2


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

(51) CdtNarrowingProof (BOTH BOUNDS(ID, ID))
Use narrowing to replace ENCARG(cons_2(z0)) -> c2(2'(encArg(z0)), ENCARG(z0)) by 
   ENCARG(cons_2(cons_0(z0))) -> c2(2'(0(encArg(z0))), ENCARG(cons_0(z0)))
   ENCARG(cons_2(cons_1(z0))) -> c2(2'(1(encArg(z0))), ENCARG(cons_1(z0)))
   ENCARG(cons_2(cons_2(z0))) -> c2(2'(2(encArg(z0))), ENCARG(cons_2(z0)))
   ENCARG(cons_2(cons_3(z0))) -> c2(2'(3(encArg(z0))), ENCARG(cons_3(z0)))
   ENCARG(cons_2(cons_4(z0))) -> c2(2'(4(encArg(z0))), ENCARG(cons_4(z0)))

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

(52)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(cons_0(z0)) -> 0(encArg(z0))
   encArg(cons_1(z0)) -> 1(encArg(z0))
   encArg(cons_2(z0)) -> 2(encArg(z0))
   encArg(cons_3(z0)) -> 3(encArg(z0))
   encArg(cons_4(z0)) -> 4(encArg(z0))
   0(z0) -> c_0(z0)
   0(c_4(c_4(c_4(c_0(c_2(c_2(c_1(c_3(c_2(c_1(c_0(c_4(c_1(c_3(c_0(c_1(c_3(c_4(c_4(z0)))))))))))))))))))) -> 3(2(3(0(1(2(2(3(1(4(0(4(1(1(1(4(2(2(1(1(z0))))))))))))))))))))
   0(c_1(c_4(c_2(c_3(c_1(c_1(c_2(c_3(c_2(c_3(c_1(c_0(c_1(c_0(c_2(c_0(c_2(c_3(c_2(z0)))))))))))))))))))) -> 3(1(3(2(0(4(1(3(2(1(0(4(0(4(4(3(2(1(4(3(z0))))))))))))))))))))
   0(c_3(c_0(c_0(c_1(c_1(c_4(c_3(c_4(c_3(c_0(c_4(c_2(c_1(c_4(c_3(c_4(c_2(c_1(c_2(z0)))))))))))))))))))) -> 1(4(0(1(2(2(2(3(4(4(2(4(2(2(1(3(1(4(2(4(z0))))))))))))))))))))
   0(c_0(c_0(c_0(c_1(c_0(c_2(c_2(c_3(c_2(c_1(c_1(c_0(c_3(c_2(c_1(c_1(c_1(c_2(c_4(z0)))))))))))))))))))) -> 0(3(2(3(3(2(1(4(2(2(2(1(0(0(2(0(1(2(2(4(z0))))))))))))))))))))
   0(c_2(c_1(c_4(c_2(c_4(c_3(c_4(c_0(c_0(c_3(c_0(c_2(c_4(c_1(c_4(c_4(c_0(c_1(c_1(z0)))))))))))))))))))) -> 4(4(3(3(1(4(0(3(2(3(3(1(4(0(1(2(1(4(1(0(z0))))))))))))))))))))
   0(c_0(c_4(c_0(c_2(c_1(c_4(c_1(c_4(c_0(c_1(c_2(c_0(c_0(c_4(c_1(c_0(c_3(c_2(c_1(z0)))))))))))))))))))) -> 2(3(3(3(1(3(2(4(2(1(1(3(0(2(1(2(3(4(2(1(z0))))))))))))))))))))
   0(c_1(c_4(c_3(c_4(c_0(c_1(c_0(c_2(c_3(c_4(c_0(c_3(c_4(c_2(c_0(c_1(c_4(c_0(c_3(z0)))))))))))))))))))) -> 0(3(3(4(2(1(0(1(3(3(0(3(2(4(1(3(2(3(1(4(z0))))))))))))))))))))
   0(c_0(c_2(c_2(c_2(c_1(c_2(c_3(c_0(c_2(c_0(c_4(c_4(c_0(c_3(c_3(c_3(c_0(c_0(c_3(z0)))))))))))))))))))) -> 0(0(0(3(3(1(1(1(4(4(1(4(3(3(0(3(3(2(4(3(z0))))))))))))))))))))
   0(c_4(c_4(c_1(c_1(c_0(c_1(c_4(c_1(c_1(c_1(c_4(c_0(c_1(c_0(c_0(c_4(c_1(c_4(c_3(z0)))))))))))))))))))) -> 2(2(1(0(2(2(3(4(2(1(2(0(3(0(3(3(1(1(4(2(z0))))))))))))))))))))
   0(c_2(c_0(c_1(c_2(c_0(c_3(c_1(c_2(c_1(c_3(c_3(c_1(c_3(c_2(c_0(c_0(c_4(c_2(c_1(z0)))))))))))))))))))) -> 1(2(2(0(4(4(0(3(1(4(1(3(4(3(3(4(4(4(2(1(z0))))))))))))))))))))
   0(c_3(c_2(c_0(c_1(c_4(c_3(c_0(c_2(c_4(c_0(c_2(c_0(c_0(c_1(c_4(c_4(c_2(c_4(c_4(z0)))))))))))))))))))) -> 4(0(0(0(4(4(2(1(3(1(0(1(2(2(2(4(4(4(2(3(z0))))))))))))))))))))
   0(c_2(c_1(c_4(c_4(c_4(c_3(c_4(c_2(c_1(c_1(c_0(c_0(c_1(c_4(c_4(c_2(c_0(c_3(c_4(z0)))))))))))))))))))) -> 1(0(1(4(2(1(0(2(4(4(4(0(1(1(3(1(3(4(3(1(z0))))))))))))))))))))
   0(c_4(c_1(c_1(c_1(c_2(c_1(c_4(c_3(c_2(c_4(c_4(c_2(c_2(c_4(c_2(c_0(c_4(c_1(c_1(z0)))))))))))))))))))) -> 2(1(1(4(2(2(3(1(3(1(2(2(2(4(1(3(3(4(3(0(z0))))))))))))))))))))
   0(c_4(c_4(c_3(c_2(c_0(c_4(c_1(c_0(c_4(c_3(c_1(c_1(c_0(c_2(c_1(c_1(c_3(c_2(c_1(z0)))))))))))))))))))) -> 2(1(2(2(1(2(3(2(1(2(4(2(4(2(3(2(3(4(4(1(z0))))))))))))))))))))
   0(c_2(c_4(c_3(c_1(c_4(c_0(c_3(c_3(c_4(c_4(c_2(c_2(c_4(c_4(c_0(c_4(c_1(c_0(c_0(z0)))))))))))))))))))) -> 4(2(1(0(1(3(3(4(0(0(2(3(3(4(3(1(4(1(0(4(z0))))))))))))))))))))
   0(c_1(c_4(c_0(c_3(c_1(c_3(c_3(c_0(c_3(c_1(c_4(c_4(c_1(c_1(c_1(c_4(c_0(c_4(c_0(z0)))))))))))))))))))) -> 3(2(0(3(2(4(3(4(4(2(1(0(1(4(1(3(1(4(4(4(z0))))))))))))))))))))
   0(c_2(c_3(c_4(c_2(c_2(c_4(c_4(c_1(c_0(c_3(c_2(c_2(c_4(c_2(c_2(c_3(c_1(c_1(c_4(z0)))))))))))))))))))) -> 1(3(1(4(0(3(1(1(4(3(3(2(2(1(2(0(2(0(3(4(z0))))))))))))))))))))
   0(c_1(c_4(c_1(c_3(c_1(c_0(c_2(c_4(c_1(c_3(c_0(c_4(c_3(c_1(c_3(c_1(c_1(c_1(c_0(z0)))))))))))))))))))) -> 3(2(1(1(4(1(2(1(4(0(2(1(1(4(4(0(1(2(2(1(z0))))))))))))))))))))
   0(c_1(c_3(c_0(c_2(c_4(c_3(c_0(c_3(c_1(c_0(c_2(c_4(c_2(c_2(c_0(c_3(c_4(c_1(c_1(z0)))))))))))))))))))) -> 4(0(2(4(3(1(3(1(0(2(3(3(2(1(0(4(4(1(2(1(z0))))))))))))))))))))
   0(c_2(c_1(c_2(c_1(c_0(c_2(c_3(c_0(c_0(c_4(c_2(c_3(c_1(c_4(c_0(c_3(c_1(c_3(c_1(z0)))))))))))))))))))) -> 3(1(2(3(4(3(0(2(2(2(1(2(2(3(4(2(1(4(3(1(z0))))))))))))))))))))
   1(z0) -> c_1(z0)
   1(c_0(c_0(c_4(c_0(c_0(c_1(c_2(c_3(c_0(c_1(c_4(c_1(c_3(c_0(c_2(c_1(c_4(c_0(c_0(z0)))))))))))))))))))) -> 4(1(2(4(1(3(3(4(3(3(3(1(2(2(4(1(0(3(3(1(z0))))))))))))))))))))
   1(c_1(c_0(c_2(c_4(c_4(c_4(c_1(c_2(c_4(c_4(c_1(c_0(c_4(c_2(c_2(c_1(c_3(c_0(c_3(z0)))))))))))))))))))) -> 2(1(1(1(1(3(3(4(3(1(1(4(4(2(1(3(1(0(0(3(z0))))))))))))))))))))
   1(c_4(c_1(c_3(c_0(c_1(c_1(c_1(c_1(c_0(c_4(c_0(c_0(c_3(c_0(c_3(c_2(c_4(c_3(c_4(z0)))))))))))))))))))) -> 1(4(4(0(4(0(0(2(4(0(4(3(2(1(2(4(2(4(3(1(z0))))))))))))))))))))
   1(c_4(c_2(c_4(c_4(c_3(c_3(c_4(c_3(c_3(c_4(c_1(c_4(c_1(c_2(c_3(c_4(c_1(c_1(c_2(z0)))))))))))))))))))) -> 3(2(2(0(3(0(2(2(1(2(1(0(3(4(1(3(1(2(1(2(z0))))))))))))))))))))
   1(c_0(c_0(c_0(c_3(c_2(c_4(c_3(c_1(c_2(c_3(c_0(c_2(c_4(c_1(c_0(c_1(c_2(c_4(c_2(z0)))))))))))))))))))) -> 2(0(0(4(4(1(4(3(2(1(3(1(3(0(4(1(1(4(0(2(z0))))))))))))))))))))
   1(c_4(c_1(c_2(c_3(c_0(c_0(c_2(c_3(c_4(c_1(c_4(c_0(c_2(c_0(c_4(c_1(c_1(c_2(c_0(z0)))))))))))))))))))) -> 4(3(1(2(1(4(4(3(4(3(2(2(1(3(2(1(3(4(1(4(z0))))))))))))))))))))
   1(c_3(c_4(c_3(c_0(c_3(c_1(c_4(c_3(c_2(c_4(c_0(c_1(c_0(c_0(c_1(c_3(c_3(c_1(c_1(z0)))))))))))))))))))) -> 1(2(2(4(3(1(4(4(3(1(1(0(3(3(0(3(0(1(0(4(z0))))))))))))))))))))
   1(c_2(c_4(c_4(c_0(c_0(c_4(c_3(c_0(c_2(c_2(c_3(c_0(c_0(c_4(c_4(c_3(c_3(c_3(c_2(z0)))))))))))))))))))) -> 4(2(3(2(1(0(4(3(3(1(3(3(1(4(2(0(0(1(4(3(z0))))))))))))))))))))
   1(c_0(c_1(c_1(c_3(c_3(c_0(c_2(c_0(c_2(c_2(c_1(c_0(c_4(c_1(c_0(c_4(c_3(c_1(c_4(z0)))))))))))))))))))) -> 1(2(4(1(0(0(0(1(4(2(0(0(4(4(4(1(4(3(1(4(z0))))))))))))))))))))
   1(c_2(c_0(c_3(c_1(c_0(c_2(c_0(c_4(c_1(c_4(c_4(c_2(c_4(c_0(c_4(c_3(c_4(c_4(c_3(z0)))))))))))))))))))) -> 2(1(4(4(4(1(4(1(1(2(4(1(1(2(2(1(1(0(0(0(z0))))))))))))))))))))
   1(c_4(c_2(c_3(c_1(c_4(c_2(c_2(c_0(c_4(c_2(c_3(c_0(c_1(c_3(c_2(c_1(c_3(c_3(c_4(z0)))))))))))))))))))) -> 1(4(1(3(4(3(0(1(4(0(2(1(0(1(1(0(3(1(2(2(z0))))))))))))))))))))
   2(z0) -> c_2(z0)
   2(c_1(c_3(c_3(c_4(c_1(c_4(c_0(c_4(c_0(c_3(c_0(c_0(c_2(c_4(c_1(c_4(c_0(c_0(c_3(z0)))))))))))))))))))) -> 1(0(0(4(3(3(0(3(2(2(4(3(2(2(1(1(3(1(4(1(z0))))))))))))))))))))
   2(c_4(c_2(c_3(c_0(c_2(c_3(c_2(c_2(c_3(c_2(c_1(c_0(c_3(c_4(c_1(c_3(c_1(c_0(c_1(z0)))))))))))))))))))) -> 1(3(0(4(4(1(3(2(1(0(2(4(1(0(2(2(0(4(4(1(z0))))))))))))))))))))
   2(c_2(c_2(c_0(c_0(c_0(c_3(c_4(c_4(c_0(c_2(c_1(c_2(c_0(c_0(c_2(c_0(c_3(c_0(c_0(z0)))))))))))))))))))) -> 4(2(3(4(0(4(2(1(0(3(1(1(1(3(0(0(3(1(2(0(z0))))))))))))))))))))
   2(c_0(c_0(c_3(c_3(c_1(c_0(c_4(c_2(c_3(c_1(c_2(c_3(c_0(c_4(c_1(c_3(c_0(c_4(c_4(z0)))))))))))))))))))) -> 4(0(3(4(3(3(1(2(1(4(1(4(4(3(0(3(0(1(0(0(z0))))))))))))))))))))
   2(c_3(c_0(c_4(c_0(c_2(c_4(c_4(c_4(c_2(c_1(c_2(c_0(c_3(c_2(c_2(c_1(c_1(c_3(c_0(z0)))))))))))))))))))) -> 2(1(1(1(4(4(1(1(4(0(2(3(2(4(1(0(2(4(2(1(z0))))))))))))))))))))
   2(c_4(c_3(c_4(c_4(c_4(c_4(c_3(c_2(c_4(c_4(c_2(c_3(c_3(c_1(c_1(c_0(c_4(c_2(c_2(z0)))))))))))))))))))) -> 4(1(4(3(4(2(2(1(2(1(4(4(3(1(0(4(3(4(0(0(z0))))))))))))))))))))
   2(c_2(c_3(c_3(c_0(c_2(c_0(c_3(c_0(c_1(c_4(c_3(c_2(c_2(c_1(c_0(c_2(c_2(c_4(c_4(z0)))))))))))))))))))) -> 4(1(2(4(2(1(4(2(2(0(3(0(1(4(1(2(4(3(4(0(z0))))))))))))))))))))
   2(c_3(c_0(c_4(c_1(c_3(c_1(c_3(c_0(c_0(c_1(c_1(c_1(c_1(c_2(c_3(c_1(c_4(c_2(c_1(z0)))))))))))))))))))) -> 1(0(2(2(2(3(3(1(0(4(3(1(4(2(2(1(1(0(3(1(z0))))))))))))))))))))
   2(c_0(c_0(c_0(c_0(c_1(c_4(c_4(c_3(c_1(c_3(c_3(c_2(c_2(c_1(c_4(c_4(c_2(c_3(c_1(z0)))))))))))))))))))) -> 2(4(1(0(1(4(3(1(2(2(2(1(1(1(3(4(4(0(1(2(z0))))))))))))))))))))
   2(c_3(c_0(c_2(c_4(c_0(c_1(c_0(c_3(c_4(c_3(c_3(c_1(c_4(c_1(c_0(c_4(c_3(c_2(c_2(z0)))))))))))))))))))) -> 3(1(3(1(2(2(0(4(1(3(1(1(4(2(3(4(4(4(4(4(z0))))))))))))))))))))
   2(c_2(c_3(c_3(c_1(c_3(c_1(c_2(c_0(c_0(c_4(c_3(c_4(c_2(c_2(c_0(c_2(c_2(c_4(c_0(z0)))))))))))))))))))) -> 2(1(2(0(4(4(1(0(2(4(1(3(2(1(3(1(0(2(3(3(z0))))))))))))))))))))
   2(c_1(c_1(c_3(c_2(c_4(c_3(c_0(c_1(c_4(c_2(c_0(c_3(c_1(c_2(c_0(c_4(c_0(c_3(c_2(z0)))))))))))))))))))) -> 2(2(1(0(4(2(0(1(3(0(4(1(2(4(4(3(2(2(1(2(z0))))))))))))))))))))
   2(c_0(c_4(c_3(c_4(c_4(c_2(c_1(c_0(c_0(c_2(c_4(c_4(c_2(c_1(c_1(c_1(c_1(c_1(c_4(z0)))))))))))))))))))) -> 0(4(0(1(2(2(1(4(2(1(4(3(0(4(3(4(1(1(3(1(z0))))))))))))))))))))
   2(c_3(c_3(c_3(c_4(c_0(c_4(c_1(c_0(c_2(c_2(c_4(c_2(c_4(c_1(c_1(c_3(c_3(c_4(c_1(z0)))))))))))))))))))) -> 4(2(1(4(1(0(3(1(4(4(3(3(0(1(3(1(2(4(3(0(z0))))))))))))))))))))
   2(c_0(c_1(c_4(c_4(c_3(c_3(c_4(c_2(c_3(c_1(c_3(c_1(c_1(c_3(c_0(c_4(c_1(c_3(c_2(z0)))))))))))))))))))) -> 2(1(4(3(1(0(3(1(4(4(4(2(2(0(0(4(2(0(2(2(z0))))))))))))))))))))
   2(c_2(c_4(c_1(c_0(c_3(c_0(c_4(c_2(c_4(c_3(c_3(c_4(c_3(c_3(c_1(c_0(c_1(c_0(c_0(z0)))))))))))))))))))) -> 0(4(3(4(1(0(3(4(4(4(3(0(4(0(1(2(1(3(1(4(z0))))))))))))))))))))
   2(c_3(c_4(c_4(c_0(c_0(c_4(c_4(c_4(c_3(c_3(c_0(c_4(c_2(c_2(c_3(c_0(c_0(c_1(c_3(z0)))))))))))))))))))) -> 0(2(0(4(3(3(2(1(4(4(1(2(0(1(2(4(3(3(4(1(z0))))))))))))))))))))
   2(c_3(c_1(c_3(c_2(c_1(c_4(c_1(c_0(c_2(c_4(c_2(c_0(c_0(c_2(c_3(c_4(c_4(c_3(c_2(z0)))))))))))))))))))) -> 4(1(1(4(3(2(3(1(4(1(4(4(1(3(1(2(3(4(4(1(z0))))))))))))))))))))
   2(c_3(c_2(c_4(c_2(c_1(c_0(c_0(c_2(c_4(c_3(c_4(c_1(c_1(c_3(c_2(c_4(c_2(c_1(c_2(z0)))))))))))))))))))) -> 2(3(2(1(1(0(2(0(1(1(3(2(1(4(3(1(1(0(3(1(z0))))))))))))))))))))
   2(c_0(c_2(c_2(c_1(c_3(c_3(c_2(c_4(c_0(c_1(c_0(c_3(c_1(c_4(c_0(c_0(c_0(c_1(c_3(z0)))))))))))))))))))) -> 1(3(4(2(0(1(1(3(1(3(4(4(2(3(1(0(1(3(1(3(z0))))))))))))))))))))
   3(z0) -> c_3(z0)
   3(c_0(c_3(c_3(c_3(c_4(c_2(c_1(c_4(c_2(c_2(c_3(c_2(c_0(c_4(c_4(c_4(c_1(c_1(c_1(z0)))))))))))))))))))) -> 1(4(3(4(2(2(4(3(2(0(1(4(1(1(3(1(2(1(1(3(z0))))))))))))))))))))
   3(c_1(c_0(c_0(c_1(c_0(c_4(c_4(c_1(c_0(c_1(c_2(c_4(c_0(c_2(c_1(c_3(c_0(c_2(c_0(z0)))))))))))))))))))) -> 4(4(3(2(4(2(1(2(0(0(1(4(2(3(0(0(1(0(1(4(z0))))))))))))))))))))
   3(c_0(c_3(c_0(c_4(c_1(c_3(c_1(c_1(c_0(c_4(c_1(c_2(c_3(c_4(c_1(c_1(c_0(c_1(c_4(z0)))))))))))))))))))) -> 2(0(1(2(4(3(2(1(4(2(4(0(3(2(4(2(3(1(4(1(z0))))))))))))))))))))
   3(c_3(c_0(c_3(c_0(c_4(c_2(c_0(c_1(c_3(c_3(c_4(c_1(c_0(c_3(c_2(c_2(c_1(c_1(c_1(z0)))))))))))))))))))) -> 4(0(1(3(1(2(1(0(1(1(2(3(0(4(3(3(1(3(0(1(z0))))))))))))))))))))
   3(c_3(c_1(c_1(c_2(c_2(c_4(c_2(c_1(c_4(c_3(c_3(c_4(c_3(c_1(c_0(c_0(c_2(c_1(c_1(z0)))))))))))))))))))) -> 2(2(2(0(3(1(1(1(4(1(0(3(1(2(1(4(1(3(1(1(z0))))))))))))))))))))
   3(c_2(c_0(c_0(c_1(c_4(c_1(c_0(c_3(c_3(c_0(c_3(c_0(c_1(c_4(c_1(c_3(c_3(c_2(c_1(z0)))))))))))))))))))) -> 1(2(2(2(1(1(4(3(0(3(2(2(4(2(1(4(4(3(1(4(z0))))))))))))))))))))
   3(c_3(c_4(c_1(c_1(c_4(c_4(c_3(c_1(c_0(c_1(c_3(c_0(c_0(c_3(c_1(c_3(c_3(c_2(c_0(z0)))))))))))))))))))) -> 2(1(4(1(1(1(4(2(4(2(4(1(3(4(2(3(3(2(2(4(z0))))))))))))))))))))
   3(c_4(c_1(c_4(c_3(c_2(c_2(c_4(c_1(c_1(c_4(c_4(c_2(c_3(c_0(c_1(c_1(c_3(c_0(c_1(z0)))))))))))))))))))) -> 4(1(4(0(1(4(1(2(2(4(2(2(1(2(2(1(1(1(3(2(z0))))))))))))))))))))
   3(c_4(c_2(c_4(c_2(c_0(c_3(c_4(c_2(c_4(c_3(c_1(c_4(c_3(c_4(c_0(c_4(c_4(c_3(c_1(z0)))))))))))))))))))) -> 3(4(1(3(2(3(3(4(4(1(1(3(1(3(3(1(1(4(1(0(z0))))))))))))))))))))
   3(c_2(c_1(c_0(c_2(c_3(c_1(c_2(c_3(c_2(c_0(c_1(c_0(c_3(c_0(c_0(c_1(c_4(c_2(c_1(z0)))))))))))))))))))) -> 1(3(1(4(1(1(1(4(0(0(2(1(0(4(1(2(2(3(1(1(z0))))))))))))))))))))
   3(c_1(c_0(c_0(c_0(c_4(c_0(c_4(c_3(c_0(c_2(c_4(c_3(c_3(c_3(c_1(c_1(c_3(c_0(c_1(z0)))))))))))))))))))) -> 4(2(4(2(0(1(2(3(4(1(0(3(1(2(2(0(4(4(2(4(z0))))))))))))))))))))
   3(c_4(c_2(c_1(c_4(c_1(c_3(c_4(c_3(c_4(c_2(c_0(c_2(c_2(c_4(c_3(c_0(c_1(c_0(c_1(z0)))))))))))))))))))) -> 4(2(1(4(1(2(2(2(2(2(3(1(0(1(2(4(3(1(2(4(z0))))))))))))))))))))
   3(c_4(c_0(c_0(c_1(c_2(c_0(c_4(c_4(c_4(c_4(c_4(c_1(c_2(c_2(c_4(c_4(c_0(c_3(c_0(z0)))))))))))))))))))) -> 3(2(3(4(1(1(4(3(4(4(1(1(2(2(4(4(0(0(4(0(z0))))))))))))))))))))
   3(c_2(c_4(c_4(c_2(c_0(c_2(c_4(c_4(c_3(c_3(c_1(c_1(c_2(c_4(c_2(c_3(c_4(c_4(c_2(z0)))))))))))))))))))) -> 1(4(1(3(3(2(1(2(3(4(2(4(1(3(0(4(2(1(3(1(z0))))))))))))))))))))
   3(c_4(c_0(c_3(c_1(c_3(c_3(c_3(c_0(c_1(c_3(c_2(c_2(c_3(c_4(c_2(c_2(c_4(c_4(c_2(z0)))))))))))))))))))) -> 0(3(2(1(1(1(3(2(4(0(3(0(3(3(0(2(1(2(1(2(z0))))))))))))))))))))
   3(c_4(c_0(c_0(c_4(c_1(c_4(c_1(c_1(c_0(c_1(c_0(c_1(c_2(c_1(c_3(c_2(c_2(c_3(c_4(z0)))))))))))))))))))) -> 1(3(4(2(1(3(0(1(4(3(1(3(4(0(4(1(2(4(0(2(z0))))))))))))))))))))
   3(c_2(c_2(c_3(c_3(c_0(c_0(c_4(c_4(c_0(c_4(c_4(c_4(c_2(c_3(c_3(c_1(c_1(c_2(c_1(z0)))))))))))))))))))) -> 3(0(3(4(4(4(4(1(4(3(3(0(0(2(3(2(1(2(2(1(z0))))))))))))))))))))
   3(c_2(c_4(c_0(c_0(c_2(c_4(c_0(c_4(c_3(c_4(c_2(c_1(c_1(c_2(c_4(c_3(c_3(c_2(c_1(z0)))))))))))))))))))) -> 0(3(3(4(3(1(4(2(4(3(2(1(4(1(4(0(3(1(4(2(z0))))))))))))))))))))
   3(c_0(c_2(c_2(c_1(c_0(c_0(c_0(c_0(c_0(c_3(c_1(c_0(c_0(c_4(c_3(c_4(c_2(c_2(c_0(z0)))))))))))))))))))) -> 3(2(2(0(0(2(2(4(0(4(3(4(3(0(2(2(3(2(1(0(z0))))))))))))))))))))
   3(c_0(c_3(c_0(c_0(c_1(c_3(c_2(c_4(c_4(c_4(c_0(c_3(c_0(c_1(c_4(c_1(c_2(c_4(c_3(z0)))))))))))))))))))) -> 2(2(3(2(1(0(2(0(0(2(0(4(0(4(0(4(3(2(2(3(z0))))))))))))))))))))
   3(c_4(c_4(c_0(c_0(c_0(c_0(c_3(c_2(c_2(c_2(c_1(c_4(c_4(c_4(c_1(c_2(c_4(c_0(c_3(z0)))))))))))))))))))) -> 1(1(4(0(0(2(0(1(2(2(2(2(0(1(3(1(0(2(0(0(z0))))))))))))))))))))
   3(c_0(c_1(c_4(c_2(c_2(c_1(c_1(c_2(c_4(c_4(c_1(c_1(c_1(c_3(c_1(c_1(c_3(c_3(c_3(z0)))))))))))))))))))) -> 3(3(4(2(1(1(3(1(2(1(2(2(1(3(4(1(4(2(4(2(z0))))))))))))))))))))
   3(c_1(c_4(c_4(c_1(c_4(c_3(c_4(c_0(c_3(c_0(c_2(c_0(c_3(c_2(c_1(c_2(c_3(c_2(c_4(z0)))))))))))))))))))) -> 2(0(3(1(2(3(1(2(1(2(1(3(3(4(2(0(0(2(2(1(z0))))))))))))))))))))
   3(c_3(c_3(c_4(c_2(c_3(c_3(c_0(c_1(c_3(c_4(c_4(c_4(c_0(c_4(c_2(c_2(c_4(c_0(c_2(z0)))))))))))))))))))) -> 3(4(3(4(1(3(4(2(2(2(2(0(4(1(3(3(1(1(4(4(z0))))))))))))))))))))
   4(z0) -> c_4(z0)
   4(c_1(c_3(c_2(c_2(c_4(c_4(c_2(c_0(c_0(c_3(c_2(c_3(c_1(c_1(c_3(c_2(c_3(c_3(c_1(z0)))))))))))))))))))) -> 3(2(1(2(1(3(2(1(3(2(3(2(1(1(2(1(2(3(4(3(z0))))))))))))))))))))
   4(c_0(c_3(c_0(c_3(c_1(c_1(c_2(c_0(c_4(c_3(c_0(c_4(c_3(c_1(c_0(c_0(c_4(c_2(c_4(z0)))))))))))))))))))) -> 2(4(4(4(4(2(2(2(2(4(3(2(2(3(4(1(2(0(1(3(z0))))))))))))))))))))
   4(c_3(c_4(c_3(c_4(c_4(c_3(c_0(c_3(c_3(c_2(c_2(c_3(c_1(c_3(c_2(c_2(c_3(c_4(c_1(z0)))))))))))))))))))) -> 4(1(0(0(4(3(4(1(2(4(3(3(2(1(3(4(1(0(3(1(z0))))))))))))))))))))
   4(c_4(c_0(c_4(c_4(c_1(c_0(c_3(c_3(c_2(c_0(c_3(c_0(c_1(c_3(c_0(c_3(c_1(c_3(c_3(z0)))))))))))))))))))) -> 2(1(0(3(1(3(1(4(3(3(0(0(1(4(4(1(2(2(3(0(z0))))))))))))))))))))
   4(c_2(c_1(c_2(c_1(c_1(c_2(c_3(c_4(c_2(c_3(c_2(c_1(c_4(c_2(c_2(c_4(c_0(c_3(c_0(z0)))))))))))))))))))) -> 3(1(0(2(1(3(1(2(1(0(2(1(1(3(1(0(4(0(3(4(z0))))))))))))))))))))
   4(c_0(c_2(c_4(c_2(c_1(c_4(c_2(c_4(c_2(c_4(c_1(c_2(c_0(c_1(c_0(c_3(c_0(c_3(c_0(z0)))))))))))))))))))) -> 0(3(1(0(4(1(4(2(3(1(4(4(1(2(0(1(0(0(0(4(z0))))))))))))))))))))
   4(c_3(c_2(c_0(c_1(c_0(c_2(c_2(c_3(c_1(c_4(c_0(c_0(c_3(c_4(c_0(c_0(c_1(c_1(c_2(z0)))))))))))))))))))) -> 3(2(0(3(0(0(4(1(1(4(2(4(1(4(3(1(3(1(4(3(z0))))))))))))))))))))
   4(c_1(c_3(c_4(c_1(c_3(c_0(c_2(c_4(c_3(c_4(c_3(c_3(c_1(c_0(c_2(c_0(c_1(c_2(c_4(z0)))))))))))))))))))) -> 2(0(4(4(1(0(2(2(1(1(4(0(4(0(1(4(0(4(4(3(z0))))))))))))))))))))
   4(c_3(c_1(c_3(c_2(c_2(c_4(c_0(c_1(c_0(c_4(c_0(c_0(c_2(c_1(c_0(c_1(c_4(c_3(c_0(z0)))))))))))))))))))) -> 1(3(1(1(1(1(3(4(4(1(4(4(1(4(0(4(2(4(1(3(z0))))))))))))))))))))
   4(c_1(c_3(c_4(c_2(c_3(c_0(c_4(c_4(c_3(c_3(c_1(c_1(c_3(c_4(c_1(c_1(c_3(c_3(c_0(z0)))))))))))))))))))) -> 2(4(4(4(4(2(2(4(1(0(2(2(4(0(3(2(2(2(2(2(z0))))))))))))))))))))
   4(c_3(c_4(c_4(c_2(c_2(c_3(c_2(c_0(c_4(c_2(c_4(c_2(c_2(c_1(c_4(c_2(c_3(c_3(c_0(z0)))))))))))))))))))) -> 1(2(1(2(1(1(0(4(0(1(1(4(2(1(0(4(1(0(4(3(z0))))))))))))))))))))
   4(c_4(c_3(c_2(c_1(c_2(c_0(c_3(c_0(c_4(c_0(c_2(c_1(c_4(c_4(c_0(c_2(c_1(c_3(c_0(z0)))))))))))))))))))) -> 4(2(4(1(4(2(2(0(1(0(3(1(3(0(1(3(3(2(1(0(z0))))))))))))))))))))
   4(c_1(c_2(c_1(c_0(c_4(c_3(c_1(c_3(c_0(c_2(c_3(c_3(c_4(c_3(c_1(c_0(c_0(c_0(c_4(z0)))))))))))))))))))) -> 3(2(0(2(2(1(2(1(1(2(3(0(1(3(3(3(2(4(1(0(z0))))))))))))))))))))
   4(c_0(c_0(c_3(c_3(c_1(c_0(c_2(c_2(c_0(c_4(c_0(c_4(c_3(c_0(c_0(c_2(c_2(c_1(c_3(z0)))))))))))))))))))) -> 0(0(3(2(1(2(3(2(4(3(1(2(0(2(2(1(1(0(3(1(z0))))))))))))))))))))
   4(c_3(c_4(c_3(c_4(c_4(c_2(c_0(c_4(c_4(c_2(c_0(c_2(c_0(c_4(c_4(c_2(c_2(c_3(c_3(z0)))))))))))))))))))) -> 3(4(0(1(3(0(0(4(3(1(2(2(3(1(3(4(2(2(0(3(z0))))))))))))))))))))
   4(c_3(c_2(c_3(c_2(c_2(c_1(c_2(c_0(c_3(c_0(c_0(c_0(c_1(c_1(c_3(c_2(c_4(c_3(c_4(z0)))))))))))))))))))) -> 1(3(1(4(0(2(1(0(0(1(3(4(0(3(3(4(2(1(2(1(z0))))))))))))))))))))
   4(c_0(c_2(c_1(c_3(c_3(c_4(c_4(c_0(c_0(c_0(c_3(c_2(c_3(c_4(c_4(c_4(c_3(c_2(c_3(z0)))))))))))))))))))) -> 4(0(2(1(4(0(2(0(0(4(0(4(1(0(2(3(4(4(1(2(z0))))))))))))))))))))
   4(c_1(c_1(c_0(c_3(c_0(c_1(c_3(c_0(c_4(c_4(c_2(c_1(c_2(c_4(c_2(c_0(c_0(c_3(c_0(z0)))))))))))))))))))) -> 2(3(2(0(1(4(4(4(3(2(3(3(1(4(3(4(2(0(1(3(z0))))))))))))))))))))
   4(c_3(c_3(c_2(c_2(c_1(c_3(c_4(c_4(c_2(c_4(c_2(c_3(c_0(c_0(c_2(c_2(c_3(c_2(c_4(z0)))))))))))))))))))) -> 3(2(2(1(1(0(2(2(4(0(0(0(2(1(3(1(0(4(3(4(z0))))))))))))))))))))
   4(c_1(c_0(c_2(c_0(c_3(c_2(c_1(c_1(c_3(c_1(c_1(c_0(c_1(c_1(c_2(c_0(c_0(c_4(c_4(z0)))))))))))))))))))) -> 2(1(4(2(2(2(2(2(2(2(0(1(0(3(1(0(1(1(4(0(z0))))))))))))))))))))
   4(c_1(c_1(c_1(c_2(c_2(c_3(c_3(c_3(c_4(c_4(c_0(c_2(c_0(c_2(c_1(c_0(c_1(c_0(c_0(z0)))))))))))))))))))) -> 1(1(0(3(4(0(2(3(1(4(2(4(1(0(4(0(3(1(1(4(z0))))))))))))))))))))
   4(c_4(c_1(c_1(c_2(c_0(c_1(c_0(c_2(c_2(c_1(c_0(c_0(c_1(c_0(c_0(c_1(c_1(c_3(c_2(z0)))))))))))))))))))) -> 3(1(4(1(4(4(3(1(2(3(3(2(1(3(3(1(1(3(2(4(z0))))))))))))))))))))
   4(c_4(c_3(c_4(c_4(c_2(c_4(c_1(c_1(c_0(c_2(c_3(c_1(c_0(c_3(c_1(c_2(c_2(c_4(c_0(z0)))))))))))))))))))) -> 1(2(1(1(1(2(4(1(4(3(1(4(1(4(3(2(0(4(2(2(z0))))))))))))))))))))
   4(c_0(c_4(c_3(c_0(c_0(c_2(c_1(c_2(c_2(c_0(c_3(c_0(c_3(c_1(c_1(c_1(c_3(c_3(c_3(z0)))))))))))))))))))) -> 4(1(2(1(1(2(2(1(1(2(0(1(0(2(4(4(1(1(1(0(z0))))))))))))))))))))
Tuples:
   ENCARG(cons_3(z0)) -> c3(3'(encArg(z0)), ENCARG(z0))
   ENCARG(cons_4(z0)) -> c4(4'(encArg(z0)), ENCARG(z0))
   0'(c_4(c_4(c_4(c_0(c_2(c_2(c_1(c_3(c_2(c_1(c_0(c_4(c_1(c_3(c_0(c_1(c_3(c_4(c_4(z0)))))))))))))))))))) -> c11(3'(2(3(0(1(2(2(3(1(4(0(4(1(1(1(4(2(2(1(1(z0)))))))))))))))))))), 2'(3(0(1(2(2(3(1(4(0(4(1(1(1(4(2(2(1(1(z0))))))))))))))))))), 3'(0(1(2(2(3(1(4(0(4(1(1(1(4(2(2(1(1(z0)))))))))))))))))), 0'(1(2(2(3(1(4(0(4(1(1(1(4(2(2(1(1(z0))))))))))))))))), 1'(2(2(3(1(4(0(4(1(1(1(4(2(2(1(1(z0)))))))))))))))), 2'(2(3(1(4(0(4(1(1(1(4(2(2(1(1(z0))))))))))))))), 2'(3(1(4(0(4(1(1(1(4(2(2(1(1(z0)))))))))))))), 3'(1(4(0(4(1(1(1(4(2(2(1(1(z0))))))))))))), 1'(4(0(4(1(1(1(4(2(2(1(1(z0)))))))))))), 4'(0(4(1(1(1(4(2(2(1(1(z0))))))))))), 0'(4(1(1(1(4(2(2(1(1(z0)))))))))), 4'(1(1(1(4(2(2(1(1(z0))))))))), 1'(1(1(4(2(2(1(1(z0)))))))), 1'(1(4(2(2(1(1(z0))))))), 1'(4(2(2(1(1(z0)))))), 4'(2(2(1(1(z0))))), 2'(2(1(1(z0)))), 2'(1(1(z0))), 1'(1(z0)), 1'(z0))
   0'(c_1(c_4(c_2(c_3(c_1(c_1(c_2(c_3(c_2(c_3(c_1(c_0(c_1(c_0(c_2(c_0(c_2(c_3(c_2(z0)))))))))))))))))))) -> c12(3'(1(3(2(0(4(1(3(2(1(0(4(0(4(4(3(2(1(4(3(z0)))))))))))))))))))), 1'(3(2(0(4(1(3(2(1(0(4(0(4(4(3(2(1(4(3(z0))))))))))))))))))), 3'(2(0(4(1(3(2(1(0(4(0(4(4(3(2(1(4(3(z0)))))))))))))))))), 2'(0(4(1(3(2(1(0(4(0(4(4(3(2(1(4(3(z0))))))))))))))))), 0'(4(1(3(2(1(0(4(0(4(4(3(2(1(4(3(z0)))))))))))))))), 4'(1(3(2(1(0(4(0(4(4(3(2(1(4(3(z0))))))))))))))), 1'(3(2(1(0(4(0(4(4(3(2(1(4(3(z0)))))))))))))), 3'(2(1(0(4(0(4(4(3(2(1(4(3(z0))))))))))))), 2'(1(0(4(0(4(4(3(2(1(4(3(z0)))))))))))), 1'(0(4(0(4(4(3(2(1(4(3(z0))))))))))), 0'(4(0(4(4(3(2(1(4(3(z0)))))))))), 4'(0(4(4(3(2(1(4(3(z0))))))))), 0'(4(4(3(2(1(4(3(z0)))))))), 4'(4(3(2(1(4(3(z0))))))), 4'(3(2(1(4(3(z0)))))), 3'(2(1(4(3(z0))))), 2'(1(4(3(z0)))), 1'(4(3(z0))), 4'(3(z0)), 3'(z0))
   0'(c_3(c_0(c_0(c_1(c_1(c_4(c_3(c_4(c_3(c_0(c_4(c_2(c_1(c_4(c_3(c_4(c_2(c_1(c_2(z0)))))))))))))))))))) -> c13(1'(4(0(1(2(2(2(3(4(4(2(4(2(2(1(3(1(4(2(4(z0)))))))))))))))))))), 4'(0(1(2(2(2(3(4(4(2(4(2(2(1(3(1(4(2(4(z0))))))))))))))))))), 0'(1(2(2(2(3(4(4(2(4(2(2(1(3(1(4(2(4(z0)))))))))))))))))), 1'(2(2(2(3(4(4(2(4(2(2(1(3(1(4(2(4(z0))))))))))))))))), 2'(2(2(3(4(4(2(4(2(2(1(3(1(4(2(4(z0)))))))))))))))), 2'(2(3(4(4(2(4(2(2(1(3(1(4(2(4(z0))))))))))))))), 2'(3(4(4(2(4(2(2(1(3(1(4(2(4(z0)))))))))))))), 3'(4(4(2(4(2(2(1(3(1(4(2(4(z0))))))))))))), 4'(4(2(4(2(2(1(3(1(4(2(4(z0)))))))))))), 4'(2(4(2(2(1(3(1(4(2(4(z0))))))))))), 2'(4(2(2(1(3(1(4(2(4(z0)))))))))), 4'(2(2(1(3(1(4(2(4(z0))))))))), 2'(2(1(3(1(4(2(4(z0)))))))), 2'(1(3(1(4(2(4(z0))))))), 1'(3(1(4(2(4(z0)))))), 3'(1(4(2(4(z0))))), 1'(4(2(4(z0)))), 4'(2(4(z0))), 2'(4(z0)), 4'(z0))
   0'(c_0(c_0(c_0(c_1(c_0(c_2(c_2(c_3(c_2(c_1(c_1(c_0(c_3(c_2(c_1(c_1(c_1(c_2(c_4(z0)))))))))))))))))))) -> c14(0'(3(2(3(3(2(1(4(2(2(2(1(0(0(2(0(1(2(2(4(z0)))))))))))))))))))), 3'(2(3(3(2(1(4(2(2(2(1(0(0(2(0(1(2(2(4(z0))))))))))))))))))), 2'(3(3(2(1(4(2(2(2(1(0(0(2(0(1(2(2(4(z0)))))))))))))))))), 3'(3(2(1(4(2(2(2(1(0(0(2(0(1(2(2(4(z0))))))))))))))))), 3'(2(1(4(2(2(2(1(0(0(2(0(1(2(2(4(z0)))))))))))))))), 2'(1(4(2(2(2(1(0(0(2(0(1(2(2(4(z0))))))))))))))), 1'(4(2(2(2(1(0(0(2(0(1(2(2(4(z0)))))))))))))), 4'(2(2(2(1(0(0(2(0(1(2(2(4(z0))))))))))))), 2'(2(2(1(0(0(2(0(1(2(2(4(z0)))))))))))), 2'(2(1(0(0(2(0(1(2(2(4(z0))))))))))), 2'(1(0(0(2(0(1(2(2(4(z0)))))))))), 1'(0(0(2(0(1(2(2(4(z0))))))))), 0'(0(2(0(1(2(2(4(z0)))))))), 0'(2(0(1(2(2(4(z0))))))), 2'(0(1(2(2(4(z0)))))), 0'(1(2(2(4(z0))))), 1'(2(2(4(z0)))), 2'(2(4(z0))), 2'(4(z0)), 4'(z0))
   0'(c_2(c_1(c_4(c_2(c_4(c_3(c_4(c_0(c_0(c_3(c_0(c_2(c_4(c_1(c_4(c_4(c_0(c_1(c_1(z0)))))))))))))))))))) -> c15(4'(4(3(3(1(4(0(3(2(3(3(1(4(0(1(2(1(4(1(0(z0)))))))))))))))))))), 4'(3(3(1(4(0(3(2(3(3(1(4(0(1(2(1(4(1(0(z0))))))))))))))))))), 3'(3(1(4(0(3(2(3(3(1(4(0(1(2(1(4(1(0(z0)))))))))))))))))), 3'(1(4(0(3(2(3(3(1(4(0(1(2(1(4(1(0(z0))))))))))))))))), 1'(4(0(3(2(3(3(1(4(0(1(2(1(4(1(0(z0)))))))))))))))), 4'(0(3(2(3(3(1(4(0(1(2(1(4(1(0(z0))))))))))))))), 0'(3(2(3(3(1(4(0(1(2(1(4(1(0(z0)))))))))))))), 3'(2(3(3(1(4(0(1(2(1(4(1(0(z0))))))))))))), 2'(3(3(1(4(0(1(2(1(4(1(0(z0)))))))))))), 3'(3(1(4(0(1(2(1(4(1(0(z0))))))))))), 3'(1(4(0(1(2(1(4(1(0(z0)))))))))), 1'(4(0(1(2(1(4(1(0(z0))))))))), 4'(0(1(2(1(4(1(0(z0)))))))), 0'(1(2(1(4(1(0(z0))))))), 1'(2(1(4(1(0(z0)))))), 2'(1(4(1(0(z0))))), 1'(4(1(0(z0)))), 4'(1(0(z0))), 1'(0(z0)), 0'(z0))
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   4'(c_0(c_2(c_1(c_3(c_3(c_4(c_4(c_0(c_0(c_0(c_3(c_2(c_3(c_4(c_4(c_4(c_3(c_2(c_3(z0)))))))))))))))))))) -> c106(4'(0(2(1(4(0(2(0(0(4(0(4(1(0(2(3(4(4(1(2(z0)))))))))))))))))))), 0'(2(1(4(0(2(0(0(4(0(4(1(0(2(3(4(4(1(2(z0))))))))))))))))))), 2'(1(4(0(2(0(0(4(0(4(1(0(2(3(4(4(1(2(z0)))))))))))))))))), 1'(4(0(2(0(0(4(0(4(1(0(2(3(4(4(1(2(z0))))))))))))))))), 4'(0(2(0(0(4(0(4(1(0(2(3(4(4(1(2(z0)))))))))))))))), 0'(2(0(0(4(0(4(1(0(2(3(4(4(1(2(z0))))))))))))))), 2'(0(0(4(0(4(1(0(2(3(4(4(1(2(z0)))))))))))))), 0'(0(4(0(4(1(0(2(3(4(4(1(2(z0))))))))))))), 0'(4(0(4(1(0(2(3(4(4(1(2(z0)))))))))))), 4'(0(4(1(0(2(3(4(4(1(2(z0))))))))))), 0'(4(1(0(2(3(4(4(1(2(z0)))))))))), 4'(1(0(2(3(4(4(1(2(z0))))))))), 1'(0(2(3(4(4(1(2(z0)))))))), 0'(2(3(4(4(1(2(z0))))))), 2'(3(4(4(1(2(z0)))))), 3'(4(4(1(2(z0))))), 4'(4(1(2(z0)))), 4'(1(2(z0))), 1'(2(z0)), 2'(z0))
   4'(c_1(c_1(c_0(c_3(c_0(c_1(c_3(c_0(c_4(c_4(c_2(c_1(c_2(c_4(c_2(c_0(c_0(c_3(c_0(z0)))))))))))))))))))) -> c107(2'(3(2(0(1(4(4(4(3(2(3(3(1(4(3(4(2(0(1(3(z0)))))))))))))))))))), 3'(2(0(1(4(4(4(3(2(3(3(1(4(3(4(2(0(1(3(z0))))))))))))))))))), 2'(0(1(4(4(4(3(2(3(3(1(4(3(4(2(0(1(3(z0)))))))))))))))))), 0'(1(4(4(4(3(2(3(3(1(4(3(4(2(0(1(3(z0))))))))))))))))), 1'(4(4(4(3(2(3(3(1(4(3(4(2(0(1(3(z0)))))))))))))))), 4'(4(4(3(2(3(3(1(4(3(4(2(0(1(3(z0))))))))))))))), 4'(4(3(2(3(3(1(4(3(4(2(0(1(3(z0)))))))))))))), 4'(3(2(3(3(1(4(3(4(2(0(1(3(z0))))))))))))), 3'(2(3(3(1(4(3(4(2(0(1(3(z0)))))))))))), 2'(3(3(1(4(3(4(2(0(1(3(z0))))))))))), 3'(3(1(4(3(4(2(0(1(3(z0)))))))))), 3'(1(4(3(4(2(0(1(3(z0))))))))), 1'(4(3(4(2(0(1(3(z0)))))))), 4'(3(4(2(0(1(3(z0))))))), 3'(4(2(0(1(3(z0)))))), 4'(2(0(1(3(z0))))), 2'(0(1(3(z0)))), 0'(1(3(z0))), 1'(3(z0)), 3'(z0))
   4'(c_3(c_3(c_2(c_2(c_1(c_3(c_4(c_4(c_2(c_4(c_2(c_3(c_0(c_0(c_2(c_2(c_3(c_2(c_4(z0)))))))))))))))))))) -> c108(3'(2(2(1(1(0(2(2(4(0(0(0(2(1(3(1(0(4(3(4(z0)))))))))))))))))))), 2'(2(1(1(0(2(2(4(0(0(0(2(1(3(1(0(4(3(4(z0))))))))))))))))))), 2'(1(1(0(2(2(4(0(0(0(2(1(3(1(0(4(3(4(z0)))))))))))))))))), 1'(1(0(2(2(4(0(0(0(2(1(3(1(0(4(3(4(z0))))))))))))))))), 1'(0(2(2(4(0(0(0(2(1(3(1(0(4(3(4(z0)))))))))))))))), 0'(2(2(4(0(0(0(2(1(3(1(0(4(3(4(z0))))))))))))))), 2'(2(4(0(0(0(2(1(3(1(0(4(3(4(z0)))))))))))))), 2'(4(0(0(0(2(1(3(1(0(4(3(4(z0))))))))))))), 4'(0(0(0(2(1(3(1(0(4(3(4(z0)))))))))))), 0'(0(0(2(1(3(1(0(4(3(4(z0))))))))))), 0'(0(2(1(3(1(0(4(3(4(z0)))))))))), 0'(2(1(3(1(0(4(3(4(z0))))))))), 2'(1(3(1(0(4(3(4(z0)))))))), 1'(3(1(0(4(3(4(z0))))))), 3'(1(0(4(3(4(z0)))))), 1'(0(4(3(4(z0))))), 0'(4(3(4(z0)))), 4'(3(4(z0))), 3'(4(z0)), 4'(z0))
   4'(c_1(c_0(c_2(c_0(c_3(c_2(c_1(c_1(c_3(c_1(c_1(c_0(c_1(c_1(c_2(c_0(c_0(c_4(c_4(z0)))))))))))))))))))) -> c109(2'(1(4(2(2(2(2(2(2(2(0(1(0(3(1(0(1(1(4(0(z0)))))))))))))))))))), 1'(4(2(2(2(2(2(2(2(0(1(0(3(1(0(1(1(4(0(z0))))))))))))))))))), 4'(2(2(2(2(2(2(2(0(1(0(3(1(0(1(1(4(0(z0)))))))))))))))))), 2'(2(2(2(2(2(2(0(1(0(3(1(0(1(1(4(0(z0))))))))))))))))), 2'(2(2(2(2(2(0(1(0(3(1(0(1(1(4(0(z0)))))))))))))))), 2'(2(2(2(2(0(1(0(3(1(0(1(1(4(0(z0))))))))))))))), 2'(2(2(2(0(1(0(3(1(0(1(1(4(0(z0)))))))))))))), 2'(2(2(0(1(0(3(1(0(1(1(4(0(z0))))))))))))), 2'(2(0(1(0(3(1(0(1(1(4(0(z0)))))))))))), 2'(0(1(0(3(1(0(1(1(4(0(z0))))))))))), 0'(1(0(3(1(0(1(1(4(0(z0)))))))))), 1'(0(3(1(0(1(1(4(0(z0))))))))), 0'(3(1(0(1(1(4(0(z0)))))))), 3'(1(0(1(1(4(0(z0))))))), 1'(0(1(1(4(0(z0)))))), 0'(1(1(4(0(z0))))), 1'(1(4(0(z0)))), 1'(4(0(z0))), 4'(0(z0)), 0'(z0))
   4'(c_1(c_1(c_1(c_2(c_2(c_3(c_3(c_3(c_4(c_4(c_0(c_2(c_0(c_2(c_1(c_0(c_1(c_0(c_0(z0)))))))))))))))))))) -> c110(1'(1(0(3(4(0(2(3(1(4(2(4(1(0(4(0(3(1(1(4(z0)))))))))))))))))))), 1'(0(3(4(0(2(3(1(4(2(4(1(0(4(0(3(1(1(4(z0))))))))))))))))))), 0'(3(4(0(2(3(1(4(2(4(1(0(4(0(3(1(1(4(z0)))))))))))))))))), 3'(4(0(2(3(1(4(2(4(1(0(4(0(3(1(1(4(z0))))))))))))))))), 4'(0(2(3(1(4(2(4(1(0(4(0(3(1(1(4(z0)))))))))))))))), 0'(2(3(1(4(2(4(1(0(4(0(3(1(1(4(z0))))))))))))))), 2'(3(1(4(2(4(1(0(4(0(3(1(1(4(z0)))))))))))))), 3'(1(4(2(4(1(0(4(0(3(1(1(4(z0))))))))))))), 1'(4(2(4(1(0(4(0(3(1(1(4(z0)))))))))))), 4'(2(4(1(0(4(0(3(1(1(4(z0))))))))))), 2'(4(1(0(4(0(3(1(1(4(z0)))))))))), 4'(1(0(4(0(3(1(1(4(z0))))))))), 1'(0(4(0(3(1(1(4(z0)))))))), 0'(4(0(3(1(1(4(z0))))))), 4'(0(3(1(1(4(z0)))))), 0'(3(1(1(4(z0))))), 3'(1(1(4(z0)))), 1'(1(4(z0))), 1'(4(z0)), 4'(z0))
   4'(c_4(c_1(c_1(c_2(c_0(c_1(c_0(c_2(c_2(c_1(c_0(c_0(c_1(c_0(c_0(c_1(c_1(c_3(c_2(z0)))))))))))))))))))) -> c111(3'(1(4(1(4(4(3(1(2(3(3(2(1(3(3(1(1(3(2(4(z0)))))))))))))))))))), 1'(4(1(4(4(3(1(2(3(3(2(1(3(3(1(1(3(2(4(z0))))))))))))))))))), 4'(1(4(4(3(1(2(3(3(2(1(3(3(1(1(3(2(4(z0)))))))))))))))))), 1'(4(4(3(1(2(3(3(2(1(3(3(1(1(3(2(4(z0))))))))))))))))), 4'(4(3(1(2(3(3(2(1(3(3(1(1(3(2(4(z0)))))))))))))))), 4'(3(1(2(3(3(2(1(3(3(1(1(3(2(4(z0))))))))))))))), 3'(1(2(3(3(2(1(3(3(1(1(3(2(4(z0)))))))))))))), 1'(2(3(3(2(1(3(3(1(1(3(2(4(z0))))))))))))), 2'(3(3(2(1(3(3(1(1(3(2(4(z0)))))))))))), 3'(3(2(1(3(3(1(1(3(2(4(z0))))))))))), 3'(2(1(3(3(1(1(3(2(4(z0)))))))))), 2'(1(3(3(1(1(3(2(4(z0))))))))), 1'(3(3(1(1(3(2(4(z0)))))))), 3'(3(1(1(3(2(4(z0))))))), 3'(1(1(3(2(4(z0)))))), 1'(1(3(2(4(z0))))), 1'(3(2(4(z0)))), 3'(2(4(z0))), 2'(4(z0)), 4'(z0))
   4'(c_4(c_3(c_4(c_4(c_2(c_4(c_1(c_1(c_0(c_2(c_3(c_1(c_0(c_3(c_1(c_2(c_2(c_4(c_0(z0)))))))))))))))))))) -> c112(1'(2(1(1(1(2(4(1(4(3(1(4(1(4(3(2(0(4(2(2(z0)))))))))))))))))))), 2'(1(1(1(2(4(1(4(3(1(4(1(4(3(2(0(4(2(2(z0))))))))))))))))))), 1'(1(1(2(4(1(4(3(1(4(1(4(3(2(0(4(2(2(z0)))))))))))))))))), 1'(1(2(4(1(4(3(1(4(1(4(3(2(0(4(2(2(z0))))))))))))))))), 1'(2(4(1(4(3(1(4(1(4(3(2(0(4(2(2(z0)))))))))))))))), 2'(4(1(4(3(1(4(1(4(3(2(0(4(2(2(z0))))))))))))))), 4'(1(4(3(1(4(1(4(3(2(0(4(2(2(z0)))))))))))))), 1'(4(3(1(4(1(4(3(2(0(4(2(2(z0))))))))))))), 4'(3(1(4(1(4(3(2(0(4(2(2(z0)))))))))))), 3'(1(4(1(4(3(2(0(4(2(2(z0))))))))))), 1'(4(1(4(3(2(0(4(2(2(z0)))))))))), 4'(1(4(3(2(0(4(2(2(z0))))))))), 1'(4(3(2(0(4(2(2(z0)))))))), 4'(3(2(0(4(2(2(z0))))))), 3'(2(0(4(2(2(z0)))))), 2'(0(4(2(2(z0))))), 0'(4(2(2(z0)))), 4'(2(2(z0))), 2'(2(z0)), 2'(z0))
   4'(c_0(c_4(c_3(c_0(c_0(c_2(c_1(c_2(c_2(c_0(c_3(c_0(c_3(c_1(c_1(c_1(c_3(c_3(c_3(z0)))))))))))))))))))) -> c113(4'(1(2(1(1(2(2(1(1(2(0(1(0(2(4(4(1(1(1(0(z0)))))))))))))))))))), 1'(2(1(1(2(2(1(1(2(0(1(0(2(4(4(1(1(1(0(z0))))))))))))))))))), 2'(1(1(2(2(1(1(2(0(1(0(2(4(4(1(1(1(0(z0)))))))))))))))))), 1'(1(2(2(1(1(2(0(1(0(2(4(4(1(1(1(0(z0))))))))))))))))), 1'(2(2(1(1(2(0(1(0(2(4(4(1(1(1(0(z0)))))))))))))))), 2'(2(1(1(2(0(1(0(2(4(4(1(1(1(0(z0))))))))))))))), 2'(1(1(2(0(1(0(2(4(4(1(1(1(0(z0)))))))))))))), 1'(1(2(0(1(0(2(4(4(1(1(1(0(z0))))))))))))), 1'(2(0(1(0(2(4(4(1(1(1(0(z0)))))))))))), 2'(0(1(0(2(4(4(1(1(1(0(z0))))))))))), 0'(1(0(2(4(4(1(1(1(0(z0)))))))))), 1'(0(2(4(4(1(1(1(0(z0))))))))), 0'(2(4(4(1(1(1(0(z0)))))))), 2'(4(4(1(1(1(0(z0))))))), 4'(4(1(1(1(0(z0)))))), 4'(1(1(1(0(z0))))), 1'(1(1(0(z0)))), 1'(1(0(z0))), 1'(0(z0)), 0'(z0))
   ENCODE_0(z0) -> c10(0'(encArg(z0)))
   ENCODE_1(z0) -> c10(1'(encArg(z0)))
   ENCODE_2(z0) -> c10(2'(encArg(z0)))
   ENCODE_3(z0) -> c10(3'(encArg(z0)))
   ENCODE_4(z0) -> c10(4'(encArg(z0)))
   ENCARG(cons_0(cons_0(z0))) -> c(0'(0(encArg(z0))), ENCARG(cons_0(z0)))
   ENCARG(cons_0(cons_1(z0))) -> c(0'(1(encArg(z0))), ENCARG(cons_1(z0)))
   ENCARG(cons_0(cons_2(z0))) -> c(0'(2(encArg(z0))), ENCARG(cons_2(z0)))
   ENCARG(cons_0(cons_3(z0))) -> c(0'(3(encArg(z0))), ENCARG(cons_3(z0)))
   ENCARG(cons_0(cons_4(z0))) -> c(0'(4(encArg(z0))), ENCARG(cons_4(z0)))
   ENCARG(cons_1(cons_0(z0))) -> c1(1'(0(encArg(z0))), ENCARG(cons_0(z0)))
   ENCARG(cons_1(cons_1(z0))) -> c1(1'(1(encArg(z0))), ENCARG(cons_1(z0)))
   ENCARG(cons_1(cons_2(z0))) -> c1(1'(2(encArg(z0))), ENCARG(cons_2(z0)))
   ENCARG(cons_1(cons_3(z0))) -> c1(1'(3(encArg(z0))), ENCARG(cons_3(z0)))
   ENCARG(cons_1(cons_4(z0))) -> c1(1'(4(encArg(z0))), ENCARG(cons_4(z0)))
   ENCARG(cons_2(cons_0(z0))) -> c2(2'(0(encArg(z0))), ENCARG(cons_0(z0)))
   ENCARG(cons_2(cons_1(z0))) -> c2(2'(1(encArg(z0))), ENCARG(cons_1(z0)))
   ENCARG(cons_2(cons_2(z0))) -> c2(2'(2(encArg(z0))), ENCARG(cons_2(z0)))
   ENCARG(cons_2(cons_3(z0))) -> c2(2'(3(encArg(z0))), ENCARG(cons_3(z0)))
   ENCARG(cons_2(cons_4(z0))) -> c2(2'(4(encArg(z0))), ENCARG(cons_4(z0)))
S tuples:
   0'(c_4(c_4(c_4(c_0(c_2(c_2(c_1(c_3(c_2(c_1(c_0(c_4(c_1(c_3(c_0(c_1(c_3(c_4(c_4(z0)))))))))))))))))))) -> c11(3'(2(3(0(1(2(2(3(1(4(0(4(1(1(1(4(2(2(1(1(z0)))))))))))))))))))), 2'(3(0(1(2(2(3(1(4(0(4(1(1(1(4(2(2(1(1(z0))))))))))))))))))), 3'(0(1(2(2(3(1(4(0(4(1(1(1(4(2(2(1(1(z0)))))))))))))))))), 0'(1(2(2(3(1(4(0(4(1(1(1(4(2(2(1(1(z0))))))))))))))))), 1'(2(2(3(1(4(0(4(1(1(1(4(2(2(1(1(z0)))))))))))))))), 2'(2(3(1(4(0(4(1(1(1(4(2(2(1(1(z0))))))))))))))), 2'(3(1(4(0(4(1(1(1(4(2(2(1(1(z0)))))))))))))), 3'(1(4(0(4(1(1(1(4(2(2(1(1(z0))))))))))))), 1'(4(0(4(1(1(1(4(2(2(1(1(z0)))))))))))), 4'(0(4(1(1(1(4(2(2(1(1(z0))))))))))), 0'(4(1(1(1(4(2(2(1(1(z0)))))))))), 4'(1(1(1(4(2(2(1(1(z0))))))))), 1'(1(1(4(2(2(1(1(z0)))))))), 1'(1(4(2(2(1(1(z0))))))), 1'(4(2(2(1(1(z0)))))), 4'(2(2(1(1(z0))))), 2'(2(1(1(z0)))), 2'(1(1(z0))), 1'(1(z0)), 1'(z0))
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   4'(c_3(c_4(c_3(c_4(c_4(c_2(c_0(c_4(c_4(c_2(c_0(c_2(c_0(c_4(c_4(c_2(c_2(c_3(c_3(z0)))))))))))))))))))) -> c104(3'(4(0(1(3(0(0(4(3(1(2(2(3(1(3(4(2(2(0(3(z0)))))))))))))))))))), 4'(0(1(3(0(0(4(3(1(2(2(3(1(3(4(2(2(0(3(z0))))))))))))))))))), 0'(1(3(0(0(4(3(1(2(2(3(1(3(4(2(2(0(3(z0)))))))))))))))))), 1'(3(0(0(4(3(1(2(2(3(1(3(4(2(2(0(3(z0))))))))))))))))), 3'(0(0(4(3(1(2(2(3(1(3(4(2(2(0(3(z0)))))))))))))))), 0'(0(4(3(1(2(2(3(1(3(4(2(2(0(3(z0))))))))))))))), 0'(4(3(1(2(2(3(1(3(4(2(2(0(3(z0)))))))))))))), 4'(3(1(2(2(3(1(3(4(2(2(0(3(z0))))))))))))), 3'(1(2(2(3(1(3(4(2(2(0(3(z0)))))))))))), 1'(2(2(3(1(3(4(2(2(0(3(z0))))))))))), 2'(2(3(1(3(4(2(2(0(3(z0)))))))))), 2'(3(1(3(4(2(2(0(3(z0))))))))), 3'(1(3(4(2(2(0(3(z0)))))))), 1'(3(4(2(2(0(3(z0))))))), 3'(4(2(2(0(3(z0)))))), 4'(2(2(0(3(z0))))), 2'(2(0(3(z0)))), 2'(0(3(z0))), 0'(3(z0)), 3'(z0))
   4'(c_3(c_2(c_3(c_2(c_2(c_1(c_2(c_0(c_3(c_0(c_0(c_0(c_1(c_1(c_3(c_2(c_4(c_3(c_4(z0)))))))))))))))))))) -> c105(1'(3(1(4(0(2(1(0(0(1(3(4(0(3(3(4(2(1(2(1(z0)))))))))))))))))))), 3'(1(4(0(2(1(0(0(1(3(4(0(3(3(4(2(1(2(1(z0))))))))))))))))))), 1'(4(0(2(1(0(0(1(3(4(0(3(3(4(2(1(2(1(z0)))))))))))))))))), 4'(0(2(1(0(0(1(3(4(0(3(3(4(2(1(2(1(z0))))))))))))))))), 0'(2(1(0(0(1(3(4(0(3(3(4(2(1(2(1(z0)))))))))))))))), 2'(1(0(0(1(3(4(0(3(3(4(2(1(2(1(z0))))))))))))))), 1'(0(0(1(3(4(0(3(3(4(2(1(2(1(z0)))))))))))))), 0'(0(1(3(4(0(3(3(4(2(1(2(1(z0))))))))))))), 0'(1(3(4(0(3(3(4(2(1(2(1(z0)))))))))))), 1'(3(4(0(3(3(4(2(1(2(1(z0))))))))))), 3'(4(0(3(3(4(2(1(2(1(z0)))))))))), 4'(0(3(3(4(2(1(2(1(z0))))))))), 0'(3(3(4(2(1(2(1(z0)))))))), 3'(3(4(2(1(2(1(z0))))))), 3'(4(2(1(2(1(z0)))))), 4'(2(1(2(1(z0))))), 2'(1(2(1(z0)))), 1'(2(1(z0))), 2'(1(z0)), 1'(z0))
   4'(c_0(c_2(c_1(c_3(c_3(c_4(c_4(c_0(c_0(c_0(c_3(c_2(c_3(c_4(c_4(c_4(c_3(c_2(c_3(z0)))))))))))))))))))) -> c106(4'(0(2(1(4(0(2(0(0(4(0(4(1(0(2(3(4(4(1(2(z0)))))))))))))))))))), 0'(2(1(4(0(2(0(0(4(0(4(1(0(2(3(4(4(1(2(z0))))))))))))))))))), 2'(1(4(0(2(0(0(4(0(4(1(0(2(3(4(4(1(2(z0)))))))))))))))))), 1'(4(0(2(0(0(4(0(4(1(0(2(3(4(4(1(2(z0))))))))))))))))), 4'(0(2(0(0(4(0(4(1(0(2(3(4(4(1(2(z0)))))))))))))))), 0'(2(0(0(4(0(4(1(0(2(3(4(4(1(2(z0))))))))))))))), 2'(0(0(4(0(4(1(0(2(3(4(4(1(2(z0)))))))))))))), 0'(0(4(0(4(1(0(2(3(4(4(1(2(z0))))))))))))), 0'(4(0(4(1(0(2(3(4(4(1(2(z0)))))))))))), 4'(0(4(1(0(2(3(4(4(1(2(z0))))))))))), 0'(4(1(0(2(3(4(4(1(2(z0)))))))))), 4'(1(0(2(3(4(4(1(2(z0))))))))), 1'(0(2(3(4(4(1(2(z0)))))))), 0'(2(3(4(4(1(2(z0))))))), 2'(3(4(4(1(2(z0)))))), 3'(4(4(1(2(z0))))), 4'(4(1(2(z0)))), 4'(1(2(z0))), 1'(2(z0)), 2'(z0))
   4'(c_1(c_1(c_0(c_3(c_0(c_1(c_3(c_0(c_4(c_4(c_2(c_1(c_2(c_4(c_2(c_0(c_0(c_3(c_0(z0)))))))))))))))))))) -> c107(2'(3(2(0(1(4(4(4(3(2(3(3(1(4(3(4(2(0(1(3(z0)))))))))))))))))))), 3'(2(0(1(4(4(4(3(2(3(3(1(4(3(4(2(0(1(3(z0))))))))))))))))))), 2'(0(1(4(4(4(3(2(3(3(1(4(3(4(2(0(1(3(z0)))))))))))))))))), 0'(1(4(4(4(3(2(3(3(1(4(3(4(2(0(1(3(z0))))))))))))))))), 1'(4(4(4(3(2(3(3(1(4(3(4(2(0(1(3(z0)))))))))))))))), 4'(4(4(3(2(3(3(1(4(3(4(2(0(1(3(z0))))))))))))))), 4'(4(3(2(3(3(1(4(3(4(2(0(1(3(z0)))))))))))))), 4'(3(2(3(3(1(4(3(4(2(0(1(3(z0))))))))))))), 3'(2(3(3(1(4(3(4(2(0(1(3(z0)))))))))))), 2'(3(3(1(4(3(4(2(0(1(3(z0))))))))))), 3'(3(1(4(3(4(2(0(1(3(z0)))))))))), 3'(1(4(3(4(2(0(1(3(z0))))))))), 1'(4(3(4(2(0(1(3(z0)))))))), 4'(3(4(2(0(1(3(z0))))))), 3'(4(2(0(1(3(z0)))))), 4'(2(0(1(3(z0))))), 2'(0(1(3(z0)))), 0'(1(3(z0))), 1'(3(z0)), 3'(z0))
   4'(c_3(c_3(c_2(c_2(c_1(c_3(c_4(c_4(c_2(c_4(c_2(c_3(c_0(c_0(c_2(c_2(c_3(c_2(c_4(z0)))))))))))))))))))) -> c108(3'(2(2(1(1(0(2(2(4(0(0(0(2(1(3(1(0(4(3(4(z0)))))))))))))))))))), 2'(2(1(1(0(2(2(4(0(0(0(2(1(3(1(0(4(3(4(z0))))))))))))))))))), 2'(1(1(0(2(2(4(0(0(0(2(1(3(1(0(4(3(4(z0)))))))))))))))))), 1'(1(0(2(2(4(0(0(0(2(1(3(1(0(4(3(4(z0))))))))))))))))), 1'(0(2(2(4(0(0(0(2(1(3(1(0(4(3(4(z0)))))))))))))))), 0'(2(2(4(0(0(0(2(1(3(1(0(4(3(4(z0))))))))))))))), 2'(2(4(0(0(0(2(1(3(1(0(4(3(4(z0)))))))))))))), 2'(4(0(0(0(2(1(3(1(0(4(3(4(z0))))))))))))), 4'(0(0(0(2(1(3(1(0(4(3(4(z0)))))))))))), 0'(0(0(2(1(3(1(0(4(3(4(z0))))))))))), 0'(0(2(1(3(1(0(4(3(4(z0)))))))))), 0'(2(1(3(1(0(4(3(4(z0))))))))), 2'(1(3(1(0(4(3(4(z0)))))))), 1'(3(1(0(4(3(4(z0))))))), 3'(1(0(4(3(4(z0)))))), 1'(0(4(3(4(z0))))), 0'(4(3(4(z0)))), 4'(3(4(z0))), 3'(4(z0)), 4'(z0))
   4'(c_1(c_0(c_2(c_0(c_3(c_2(c_1(c_1(c_3(c_1(c_1(c_0(c_1(c_1(c_2(c_0(c_0(c_4(c_4(z0)))))))))))))))))))) -> c109(2'(1(4(2(2(2(2(2(2(2(0(1(0(3(1(0(1(1(4(0(z0)))))))))))))))))))), 1'(4(2(2(2(2(2(2(2(0(1(0(3(1(0(1(1(4(0(z0))))))))))))))))))), 4'(2(2(2(2(2(2(2(0(1(0(3(1(0(1(1(4(0(z0)))))))))))))))))), 2'(2(2(2(2(2(2(0(1(0(3(1(0(1(1(4(0(z0))))))))))))))))), 2'(2(2(2(2(2(0(1(0(3(1(0(1(1(4(0(z0)))))))))))))))), 2'(2(2(2(2(0(1(0(3(1(0(1(1(4(0(z0))))))))))))))), 2'(2(2(2(0(1(0(3(1(0(1(1(4(0(z0)))))))))))))), 2'(2(2(0(1(0(3(1(0(1(1(4(0(z0))))))))))))), 2'(2(0(1(0(3(1(0(1(1(4(0(z0)))))))))))), 2'(0(1(0(3(1(0(1(1(4(0(z0))))))))))), 0'(1(0(3(1(0(1(1(4(0(z0)))))))))), 1'(0(3(1(0(1(1(4(0(z0))))))))), 0'(3(1(0(1(1(4(0(z0)))))))), 3'(1(0(1(1(4(0(z0))))))), 1'(0(1(1(4(0(z0)))))), 0'(1(1(4(0(z0))))), 1'(1(4(0(z0)))), 1'(4(0(z0))), 4'(0(z0)), 0'(z0))
   4'(c_1(c_1(c_1(c_2(c_2(c_3(c_3(c_3(c_4(c_4(c_0(c_2(c_0(c_2(c_1(c_0(c_1(c_0(c_0(z0)))))))))))))))))))) -> c110(1'(1(0(3(4(0(2(3(1(4(2(4(1(0(4(0(3(1(1(4(z0)))))))))))))))))))), 1'(0(3(4(0(2(3(1(4(2(4(1(0(4(0(3(1(1(4(z0))))))))))))))))))), 0'(3(4(0(2(3(1(4(2(4(1(0(4(0(3(1(1(4(z0)))))))))))))))))), 3'(4(0(2(3(1(4(2(4(1(0(4(0(3(1(1(4(z0))))))))))))))))), 4'(0(2(3(1(4(2(4(1(0(4(0(3(1(1(4(z0)))))))))))))))), 0'(2(3(1(4(2(4(1(0(4(0(3(1(1(4(z0))))))))))))))), 2'(3(1(4(2(4(1(0(4(0(3(1(1(4(z0)))))))))))))), 3'(1(4(2(4(1(0(4(0(3(1(1(4(z0))))))))))))), 1'(4(2(4(1(0(4(0(3(1(1(4(z0)))))))))))), 4'(2(4(1(0(4(0(3(1(1(4(z0))))))))))), 2'(4(1(0(4(0(3(1(1(4(z0)))))))))), 4'(1(0(4(0(3(1(1(4(z0))))))))), 1'(0(4(0(3(1(1(4(z0)))))))), 0'(4(0(3(1(1(4(z0))))))), 4'(0(3(1(1(4(z0)))))), 0'(3(1(1(4(z0))))), 3'(1(1(4(z0)))), 1'(1(4(z0))), 1'(4(z0)), 4'(z0))
   4'(c_4(c_1(c_1(c_2(c_0(c_1(c_0(c_2(c_2(c_1(c_0(c_0(c_1(c_0(c_0(c_1(c_1(c_3(c_2(z0)))))))))))))))))))) -> c111(3'(1(4(1(4(4(3(1(2(3(3(2(1(3(3(1(1(3(2(4(z0)))))))))))))))))))), 1'(4(1(4(4(3(1(2(3(3(2(1(3(3(1(1(3(2(4(z0))))))))))))))))))), 4'(1(4(4(3(1(2(3(3(2(1(3(3(1(1(3(2(4(z0)))))))))))))))))), 1'(4(4(3(1(2(3(3(2(1(3(3(1(1(3(2(4(z0))))))))))))))))), 4'(4(3(1(2(3(3(2(1(3(3(1(1(3(2(4(z0)))))))))))))))), 4'(3(1(2(3(3(2(1(3(3(1(1(3(2(4(z0))))))))))))))), 3'(1(2(3(3(2(1(3(3(1(1(3(2(4(z0)))))))))))))), 1'(2(3(3(2(1(3(3(1(1(3(2(4(z0))))))))))))), 2'(3(3(2(1(3(3(1(1(3(2(4(z0)))))))))))), 3'(3(2(1(3(3(1(1(3(2(4(z0))))))))))), 3'(2(1(3(3(1(1(3(2(4(z0)))))))))), 2'(1(3(3(1(1(3(2(4(z0))))))))), 1'(3(3(1(1(3(2(4(z0)))))))), 3'(3(1(1(3(2(4(z0))))))), 3'(1(1(3(2(4(z0)))))), 1'(1(3(2(4(z0))))), 1'(3(2(4(z0)))), 3'(2(4(z0))), 2'(4(z0)), 4'(z0))
   4'(c_4(c_3(c_4(c_4(c_2(c_4(c_1(c_1(c_0(c_2(c_3(c_1(c_0(c_3(c_1(c_2(c_2(c_4(c_0(z0)))))))))))))))))))) -> c112(1'(2(1(1(1(2(4(1(4(3(1(4(1(4(3(2(0(4(2(2(z0)))))))))))))))))))), 2'(1(1(1(2(4(1(4(3(1(4(1(4(3(2(0(4(2(2(z0))))))))))))))))))), 1'(1(1(2(4(1(4(3(1(4(1(4(3(2(0(4(2(2(z0)))))))))))))))))), 1'(1(2(4(1(4(3(1(4(1(4(3(2(0(4(2(2(z0))))))))))))))))), 1'(2(4(1(4(3(1(4(1(4(3(2(0(4(2(2(z0)))))))))))))))), 2'(4(1(4(3(1(4(1(4(3(2(0(4(2(2(z0))))))))))))))), 4'(1(4(3(1(4(1(4(3(2(0(4(2(2(z0)))))))))))))), 1'(4(3(1(4(1(4(3(2(0(4(2(2(z0))))))))))))), 4'(3(1(4(1(4(3(2(0(4(2(2(z0)))))))))))), 3'(1(4(1(4(3(2(0(4(2(2(z0))))))))))), 1'(4(1(4(3(2(0(4(2(2(z0)))))))))), 4'(1(4(3(2(0(4(2(2(z0))))))))), 1'(4(3(2(0(4(2(2(z0)))))))), 4'(3(2(0(4(2(2(z0))))))), 3'(2(0(4(2(2(z0)))))), 2'(0(4(2(2(z0))))), 0'(4(2(2(z0)))), 4'(2(2(z0))), 2'(2(z0)), 2'(z0))
   4'(c_0(c_4(c_3(c_0(c_0(c_2(c_1(c_2(c_2(c_0(c_3(c_0(c_3(c_1(c_1(c_1(c_3(c_3(c_3(z0)))))))))))))))))))) -> c113(4'(1(2(1(1(2(2(1(1(2(0(1(0(2(4(4(1(1(1(0(z0)))))))))))))))))))), 1'(2(1(1(2(2(1(1(2(0(1(0(2(4(4(1(1(1(0(z0))))))))))))))))))), 2'(1(1(2(2(1(1(2(0(1(0(2(4(4(1(1(1(0(z0)))))))))))))))))), 1'(1(2(2(1(1(2(0(1(0(2(4(4(1(1(1(0(z0))))))))))))))))), 1'(2(2(1(1(2(0(1(0(2(4(4(1(1(1(0(z0)))))))))))))))), 2'(2(1(1(2(0(1(0(2(4(4(1(1(1(0(z0))))))))))))))), 2'(1(1(2(0(1(0(2(4(4(1(1(1(0(z0)))))))))))))), 1'(1(2(0(1(0(2(4(4(1(1(1(0(z0))))))))))))), 1'(2(0(1(0(2(4(4(1(1(1(0(z0)))))))))))), 2'(0(1(0(2(4(4(1(1(1(0(z0))))))))))), 0'(1(0(2(4(4(1(1(1(0(z0)))))))))), 1'(0(2(4(4(1(1(1(0(z0))))))))), 0'(2(4(4(1(1(1(0(z0)))))))), 2'(4(4(1(1(1(0(z0))))))), 4'(4(1(1(1(0(z0)))))), 4'(1(1(1(0(z0))))), 1'(1(1(0(z0)))), 1'(1(0(z0))), 1'(0(z0)), 0'(z0))
K tuples:none
Defined Rule Symbols:   encArg_1, 0_1, 1_1, 2_1, 3_1, 4_1

Defined Pair Symbols:   ENCARG_1, 0'_1, 1'_1, 2'_1, 3'_1, 4'_1, ENCODE_0_1, ENCODE_1_1, ENCODE_2_1, ENCODE_3_1, ENCODE_4_1

Compound Symbols:   c3_2, c4_2, c11_20, c12_20, c13_20, c14_20, c15_20, c16_20, c17_20, c18_20, c19_20, c20_20, c21_20, c22_20, c23_20, c24_20, c25_20, c26_20, c27_20, c28_20, c29_20, c30_20, c32_20, c33_20, c34_20, c35_20, c36_20, c37_20, c38_20, c39_20, c40_20, c41_20, c42_20, c44_20, c45_20, c46_20, c47_20, c48_20, c49_20, c50_20, c51_20, c52_20, c53_20, c54_20, c55_20, c56_20, c57_20, c58_20, c59_20, c60_20, c61_20, c62_20, c63_20, c65_20, c66_20, c67_20, c68_20, c69_20, c70_20, c71_20, c72_20, c73_20, c74_20, c75_20, c76_20, c77_20, c78_20, c79_20, c80_20, c81_20, c82_20, c83_20, c84_20, c85_20, c86_20, c87_20, c88_20, c90_20, c91_20, c92_20, c93_20, c94_20, c95_20, c96_20, c97_20, c98_20, c99_20, c100_20, c101_20, c102_20, c103_20, c104_20, c105_20, c106_20, c107_20, c108_20, c109_20, c110_20, c111_20, c112_20, c113_20, c10_1, c_2, c1_2, c2_2


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

(53) CdtNarrowingProof (BOTH BOUNDS(ID, ID))
Use narrowing to replace ENCARG(cons_3(z0)) -> c3(3'(encArg(z0)), ENCARG(z0)) by 
   ENCARG(cons_3(cons_0(z0))) -> c3(3'(0(encArg(z0))), ENCARG(cons_0(z0)))
   ENCARG(cons_3(cons_1(z0))) -> c3(3'(1(encArg(z0))), ENCARG(cons_1(z0)))
   ENCARG(cons_3(cons_2(z0))) -> c3(3'(2(encArg(z0))), ENCARG(cons_2(z0)))
   ENCARG(cons_3(cons_3(z0))) -> c3(3'(3(encArg(z0))), ENCARG(cons_3(z0)))
   ENCARG(cons_3(cons_4(z0))) -> c3(3'(4(encArg(z0))), ENCARG(cons_4(z0)))

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

(54)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(cons_0(z0)) -> 0(encArg(z0))
   encArg(cons_1(z0)) -> 1(encArg(z0))
   encArg(cons_2(z0)) -> 2(encArg(z0))
   encArg(cons_3(z0)) -> 3(encArg(z0))
   encArg(cons_4(z0)) -> 4(encArg(z0))
   0(z0) -> c_0(z0)
   0(c_4(c_4(c_4(c_0(c_2(c_2(c_1(c_3(c_2(c_1(c_0(c_4(c_1(c_3(c_0(c_1(c_3(c_4(c_4(z0)))))))))))))))))))) -> 3(2(3(0(1(2(2(3(1(4(0(4(1(1(1(4(2(2(1(1(z0))))))))))))))))))))
   0(c_1(c_4(c_2(c_3(c_1(c_1(c_2(c_3(c_2(c_3(c_1(c_0(c_1(c_0(c_2(c_0(c_2(c_3(c_2(z0)))))))))))))))))))) -> 3(1(3(2(0(4(1(3(2(1(0(4(0(4(4(3(2(1(4(3(z0))))))))))))))))))))
   0(c_3(c_0(c_0(c_1(c_1(c_4(c_3(c_4(c_3(c_0(c_4(c_2(c_1(c_4(c_3(c_4(c_2(c_1(c_2(z0)))))))))))))))))))) -> 1(4(0(1(2(2(2(3(4(4(2(4(2(2(1(3(1(4(2(4(z0))))))))))))))))))))
   0(c_0(c_0(c_0(c_1(c_0(c_2(c_2(c_3(c_2(c_1(c_1(c_0(c_3(c_2(c_1(c_1(c_1(c_2(c_4(z0)))))))))))))))))))) -> 0(3(2(3(3(2(1(4(2(2(2(1(0(0(2(0(1(2(2(4(z0))))))))))))))))))))
   0(c_2(c_1(c_4(c_2(c_4(c_3(c_4(c_0(c_0(c_3(c_0(c_2(c_4(c_1(c_4(c_4(c_0(c_1(c_1(z0)))))))))))))))))))) -> 4(4(3(3(1(4(0(3(2(3(3(1(4(0(1(2(1(4(1(0(z0))))))))))))))))))))
   0(c_0(c_4(c_0(c_2(c_1(c_4(c_1(c_4(c_0(c_1(c_2(c_0(c_0(c_4(c_1(c_0(c_3(c_2(c_1(z0)))))))))))))))))))) -> 2(3(3(3(1(3(2(4(2(1(1(3(0(2(1(2(3(4(2(1(z0))))))))))))))))))))
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   0(c_3(c_2(c_0(c_1(c_4(c_3(c_0(c_2(c_4(c_0(c_2(c_0(c_0(c_1(c_4(c_4(c_2(c_4(c_4(z0)))))))))))))))))))) -> 4(0(0(0(4(4(2(1(3(1(0(1(2(2(2(4(4(4(2(3(z0))))))))))))))))))))
   0(c_2(c_1(c_4(c_4(c_4(c_3(c_4(c_2(c_1(c_1(c_0(c_0(c_1(c_4(c_4(c_2(c_0(c_3(c_4(z0)))))))))))))))))))) -> 1(0(1(4(2(1(0(2(4(4(4(0(1(1(3(1(3(4(3(1(z0))))))))))))))))))))
   0(c_4(c_1(c_1(c_1(c_2(c_1(c_4(c_3(c_2(c_4(c_4(c_2(c_2(c_4(c_2(c_0(c_4(c_1(c_1(z0)))))))))))))))))))) -> 2(1(1(4(2(2(3(1(3(1(2(2(2(4(1(3(3(4(3(0(z0))))))))))))))))))))
   0(c_4(c_4(c_3(c_2(c_0(c_4(c_1(c_0(c_4(c_3(c_1(c_1(c_0(c_2(c_1(c_1(c_3(c_2(c_1(z0)))))))))))))))))))) -> 2(1(2(2(1(2(3(2(1(2(4(2(4(2(3(2(3(4(4(1(z0))))))))))))))))))))
   0(c_2(c_4(c_3(c_1(c_4(c_0(c_3(c_3(c_4(c_4(c_2(c_2(c_4(c_4(c_0(c_4(c_1(c_0(c_0(z0)))))))))))))))))))) -> 4(2(1(0(1(3(3(4(0(0(2(3(3(4(3(1(4(1(0(4(z0))))))))))))))))))))
   0(c_1(c_4(c_0(c_3(c_1(c_3(c_3(c_0(c_3(c_1(c_4(c_4(c_1(c_1(c_1(c_4(c_0(c_4(c_0(z0)))))))))))))))))))) -> 3(2(0(3(2(4(3(4(4(2(1(0(1(4(1(3(1(4(4(4(z0))))))))))))))))))))
   0(c_2(c_3(c_4(c_2(c_2(c_4(c_4(c_1(c_0(c_3(c_2(c_2(c_4(c_2(c_2(c_3(c_1(c_1(c_4(z0)))))))))))))))))))) -> 1(3(1(4(0(3(1(1(4(3(3(2(2(1(2(0(2(0(3(4(z0))))))))))))))))))))
   0(c_1(c_4(c_1(c_3(c_1(c_0(c_2(c_4(c_1(c_3(c_0(c_4(c_3(c_1(c_3(c_1(c_1(c_1(c_0(z0)))))))))))))))))))) -> 3(2(1(1(4(1(2(1(4(0(2(1(1(4(4(0(1(2(2(1(z0))))))))))))))))))))
   0(c_1(c_3(c_0(c_2(c_4(c_3(c_0(c_3(c_1(c_0(c_2(c_4(c_2(c_2(c_0(c_3(c_4(c_1(c_1(z0)))))))))))))))))))) -> 4(0(2(4(3(1(3(1(0(2(3(3(2(1(0(4(4(1(2(1(z0))))))))))))))))))))
   0(c_2(c_1(c_2(c_1(c_0(c_2(c_3(c_0(c_0(c_4(c_2(c_3(c_1(c_4(c_0(c_3(c_1(c_3(c_1(z0)))))))))))))))))))) -> 3(1(2(3(4(3(0(2(2(2(1(2(2(3(4(2(1(4(3(1(z0))))))))))))))))))))
   1(z0) -> c_1(z0)
   1(c_0(c_0(c_4(c_0(c_0(c_1(c_2(c_3(c_0(c_1(c_4(c_1(c_3(c_0(c_2(c_1(c_4(c_0(c_0(z0)))))))))))))))))))) -> 4(1(2(4(1(3(3(4(3(3(3(1(2(2(4(1(0(3(3(1(z0))))))))))))))))))))
   1(c_1(c_0(c_2(c_4(c_4(c_4(c_1(c_2(c_4(c_4(c_1(c_0(c_4(c_2(c_2(c_1(c_3(c_0(c_3(z0)))))))))))))))))))) -> 2(1(1(1(1(3(3(4(3(1(1(4(4(2(1(3(1(0(0(3(z0))))))))))))))))))))
   1(c_4(c_1(c_3(c_0(c_1(c_1(c_1(c_1(c_0(c_4(c_0(c_0(c_3(c_0(c_3(c_2(c_4(c_3(c_4(z0)))))))))))))))))))) -> 1(4(4(0(4(0(0(2(4(0(4(3(2(1(2(4(2(4(3(1(z0))))))))))))))))))))
   1(c_4(c_2(c_4(c_4(c_3(c_3(c_4(c_3(c_3(c_4(c_1(c_4(c_1(c_2(c_3(c_4(c_1(c_1(c_2(z0)))))))))))))))))))) -> 3(2(2(0(3(0(2(2(1(2(1(0(3(4(1(3(1(2(1(2(z0))))))))))))))))))))
   1(c_0(c_0(c_0(c_3(c_2(c_4(c_3(c_1(c_2(c_3(c_0(c_2(c_4(c_1(c_0(c_1(c_2(c_4(c_2(z0)))))))))))))))))))) -> 2(0(0(4(4(1(4(3(2(1(3(1(3(0(4(1(1(4(0(2(z0))))))))))))))))))))
   1(c_4(c_1(c_2(c_3(c_0(c_0(c_2(c_3(c_4(c_1(c_4(c_0(c_2(c_0(c_4(c_1(c_1(c_2(c_0(z0)))))))))))))))))))) -> 4(3(1(2(1(4(4(3(4(3(2(2(1(3(2(1(3(4(1(4(z0))))))))))))))))))))
   1(c_3(c_4(c_3(c_0(c_3(c_1(c_4(c_3(c_2(c_4(c_0(c_1(c_0(c_0(c_1(c_3(c_3(c_1(c_1(z0)))))))))))))))))))) -> 1(2(2(4(3(1(4(4(3(1(1(0(3(3(0(3(0(1(0(4(z0))))))))))))))))))))
   1(c_2(c_4(c_4(c_0(c_0(c_4(c_3(c_0(c_2(c_2(c_3(c_0(c_0(c_4(c_4(c_3(c_3(c_3(c_2(z0)))))))))))))))))))) -> 4(2(3(2(1(0(4(3(3(1(3(3(1(4(2(0(0(1(4(3(z0))))))))))))))))))))
   1(c_0(c_1(c_1(c_3(c_3(c_0(c_2(c_0(c_2(c_2(c_1(c_0(c_4(c_1(c_0(c_4(c_3(c_1(c_4(z0)))))))))))))))))))) -> 1(2(4(1(0(0(0(1(4(2(0(0(4(4(4(1(4(3(1(4(z0))))))))))))))))))))
   1(c_2(c_0(c_3(c_1(c_0(c_2(c_0(c_4(c_1(c_4(c_4(c_2(c_4(c_0(c_4(c_3(c_4(c_4(c_3(z0)))))))))))))))))))) -> 2(1(4(4(4(1(4(1(1(2(4(1(1(2(2(1(1(0(0(0(z0))))))))))))))))))))
   1(c_4(c_2(c_3(c_1(c_4(c_2(c_2(c_0(c_4(c_2(c_3(c_0(c_1(c_3(c_2(c_1(c_3(c_3(c_4(z0)))))))))))))))))))) -> 1(4(1(3(4(3(0(1(4(0(2(1(0(1(1(0(3(1(2(2(z0))))))))))))))))))))
   2(z0) -> c_2(z0)
   2(c_1(c_3(c_3(c_4(c_1(c_4(c_0(c_4(c_0(c_3(c_0(c_0(c_2(c_4(c_1(c_4(c_0(c_0(c_3(z0)))))))))))))))))))) -> 1(0(0(4(3(3(0(3(2(2(4(3(2(2(1(1(3(1(4(1(z0))))))))))))))))))))
   2(c_4(c_2(c_3(c_0(c_2(c_3(c_2(c_2(c_3(c_2(c_1(c_0(c_3(c_4(c_1(c_3(c_1(c_0(c_1(z0)))))))))))))))))))) -> 1(3(0(4(4(1(3(2(1(0(2(4(1(0(2(2(0(4(4(1(z0))))))))))))))))))))
   2(c_2(c_2(c_0(c_0(c_0(c_3(c_4(c_4(c_0(c_2(c_1(c_2(c_0(c_0(c_2(c_0(c_3(c_0(c_0(z0)))))))))))))))))))) -> 4(2(3(4(0(4(2(1(0(3(1(1(1(3(0(0(3(1(2(0(z0))))))))))))))))))))
   2(c_0(c_0(c_3(c_3(c_1(c_0(c_4(c_2(c_3(c_1(c_2(c_3(c_0(c_4(c_1(c_3(c_0(c_4(c_4(z0)))))))))))))))))))) -> 4(0(3(4(3(3(1(2(1(4(1(4(4(3(0(3(0(1(0(0(z0))))))))))))))))))))
   2(c_3(c_0(c_4(c_0(c_2(c_4(c_4(c_4(c_2(c_1(c_2(c_0(c_3(c_2(c_2(c_1(c_1(c_3(c_0(z0)))))))))))))))))))) -> 2(1(1(1(4(4(1(1(4(0(2(3(2(4(1(0(2(4(2(1(z0))))))))))))))))))))
   2(c_4(c_3(c_4(c_4(c_4(c_4(c_3(c_2(c_4(c_4(c_2(c_3(c_3(c_1(c_1(c_0(c_4(c_2(c_2(z0)))))))))))))))))))) -> 4(1(4(3(4(2(2(1(2(1(4(4(3(1(0(4(3(4(0(0(z0))))))))))))))))))))
   2(c_2(c_3(c_3(c_0(c_2(c_0(c_3(c_0(c_1(c_4(c_3(c_2(c_2(c_1(c_0(c_2(c_2(c_4(c_4(z0)))))))))))))))))))) -> 4(1(2(4(2(1(4(2(2(0(3(0(1(4(1(2(4(3(4(0(z0))))))))))))))))))))
   2(c_3(c_0(c_4(c_1(c_3(c_1(c_3(c_0(c_0(c_1(c_1(c_1(c_1(c_2(c_3(c_1(c_4(c_2(c_1(z0)))))))))))))))))))) -> 1(0(2(2(2(3(3(1(0(4(3(1(4(2(2(1(1(0(3(1(z0))))))))))))))))))))
   2(c_0(c_0(c_0(c_0(c_1(c_4(c_4(c_3(c_1(c_3(c_3(c_2(c_2(c_1(c_4(c_4(c_2(c_3(c_1(z0)))))))))))))))))))) -> 2(4(1(0(1(4(3(1(2(2(2(1(1(1(3(4(4(0(1(2(z0))))))))))))))))))))
   2(c_3(c_0(c_2(c_4(c_0(c_1(c_0(c_3(c_4(c_3(c_3(c_1(c_4(c_1(c_0(c_4(c_3(c_2(c_2(z0)))))))))))))))))))) -> 3(1(3(1(2(2(0(4(1(3(1(1(4(2(3(4(4(4(4(4(z0))))))))))))))))))))
   2(c_2(c_3(c_3(c_1(c_3(c_1(c_2(c_0(c_0(c_4(c_3(c_4(c_2(c_2(c_0(c_2(c_2(c_4(c_0(z0)))))))))))))))))))) -> 2(1(2(0(4(4(1(0(2(4(1(3(2(1(3(1(0(2(3(3(z0))))))))))))))))))))
   2(c_1(c_1(c_3(c_2(c_4(c_3(c_0(c_1(c_4(c_2(c_0(c_3(c_1(c_2(c_0(c_4(c_0(c_3(c_2(z0)))))))))))))))))))) -> 2(2(1(0(4(2(0(1(3(0(4(1(2(4(4(3(2(2(1(2(z0))))))))))))))))))))
   2(c_0(c_4(c_3(c_4(c_4(c_2(c_1(c_0(c_0(c_2(c_4(c_4(c_2(c_1(c_1(c_1(c_1(c_1(c_4(z0)))))))))))))))))))) -> 0(4(0(1(2(2(1(4(2(1(4(3(0(4(3(4(1(1(3(1(z0))))))))))))))))))))
   2(c_3(c_3(c_3(c_4(c_0(c_4(c_1(c_0(c_2(c_2(c_4(c_2(c_4(c_1(c_1(c_3(c_3(c_4(c_1(z0)))))))))))))))))))) -> 4(2(1(4(1(0(3(1(4(4(3(3(0(1(3(1(2(4(3(0(z0))))))))))))))))))))
   2(c_0(c_1(c_4(c_4(c_3(c_3(c_4(c_2(c_3(c_1(c_3(c_1(c_1(c_3(c_0(c_4(c_1(c_3(c_2(z0)))))))))))))))))))) -> 2(1(4(3(1(0(3(1(4(4(4(2(2(0(0(4(2(0(2(2(z0))))))))))))))))))))
   2(c_2(c_4(c_1(c_0(c_3(c_0(c_4(c_2(c_4(c_3(c_3(c_4(c_3(c_3(c_1(c_0(c_1(c_0(c_0(z0)))))))))))))))))))) -> 0(4(3(4(1(0(3(4(4(4(3(0(4(0(1(2(1(3(1(4(z0))))))))))))))))))))
   2(c_3(c_4(c_4(c_0(c_0(c_4(c_4(c_4(c_3(c_3(c_0(c_4(c_2(c_2(c_3(c_0(c_0(c_1(c_3(z0)))))))))))))))))))) -> 0(2(0(4(3(3(2(1(4(4(1(2(0(1(2(4(3(3(4(1(z0))))))))))))))))))))
   2(c_3(c_1(c_3(c_2(c_1(c_4(c_1(c_0(c_2(c_4(c_2(c_0(c_0(c_2(c_3(c_4(c_4(c_3(c_2(z0)))))))))))))))))))) -> 4(1(1(4(3(2(3(1(4(1(4(4(1(3(1(2(3(4(4(1(z0))))))))))))))))))))
   2(c_3(c_2(c_4(c_2(c_1(c_0(c_0(c_2(c_4(c_3(c_4(c_1(c_1(c_3(c_2(c_4(c_2(c_1(c_2(z0)))))))))))))))))))) -> 2(3(2(1(1(0(2(0(1(1(3(2(1(4(3(1(1(0(3(1(z0))))))))))))))))))))
   2(c_0(c_2(c_2(c_1(c_3(c_3(c_2(c_4(c_0(c_1(c_0(c_3(c_1(c_4(c_0(c_0(c_0(c_1(c_3(z0)))))))))))))))))))) -> 1(3(4(2(0(1(1(3(1(3(4(4(2(3(1(0(1(3(1(3(z0))))))))))))))))))))
   3(z0) -> c_3(z0)
   3(c_0(c_3(c_3(c_3(c_4(c_2(c_1(c_4(c_2(c_2(c_3(c_2(c_0(c_4(c_4(c_4(c_1(c_1(c_1(z0)))))))))))))))))))) -> 1(4(3(4(2(2(4(3(2(0(1(4(1(1(3(1(2(1(1(3(z0))))))))))))))))))))
   3(c_1(c_0(c_0(c_1(c_0(c_4(c_4(c_1(c_0(c_1(c_2(c_4(c_0(c_2(c_1(c_3(c_0(c_2(c_0(z0)))))))))))))))))))) -> 4(4(3(2(4(2(1(2(0(0(1(4(2(3(0(0(1(0(1(4(z0))))))))))))))))))))
   3(c_0(c_3(c_0(c_4(c_1(c_3(c_1(c_1(c_0(c_4(c_1(c_2(c_3(c_4(c_1(c_1(c_0(c_1(c_4(z0)))))))))))))))))))) -> 2(0(1(2(4(3(2(1(4(2(4(0(3(2(4(2(3(1(4(1(z0))))))))))))))))))))
   3(c_3(c_0(c_3(c_0(c_4(c_2(c_0(c_1(c_3(c_3(c_4(c_1(c_0(c_3(c_2(c_2(c_1(c_1(c_1(z0)))))))))))))))))))) -> 4(0(1(3(1(2(1(0(1(1(2(3(0(4(3(3(1(3(0(1(z0))))))))))))))))))))
   3(c_3(c_1(c_1(c_2(c_2(c_4(c_2(c_1(c_4(c_3(c_3(c_4(c_3(c_1(c_0(c_0(c_2(c_1(c_1(z0)))))))))))))))))))) -> 2(2(2(0(3(1(1(1(4(1(0(3(1(2(1(4(1(3(1(1(z0))))))))))))))))))))
   3(c_2(c_0(c_0(c_1(c_4(c_1(c_0(c_3(c_3(c_0(c_3(c_0(c_1(c_4(c_1(c_3(c_3(c_2(c_1(z0)))))))))))))))))))) -> 1(2(2(2(1(1(4(3(0(3(2(2(4(2(1(4(4(3(1(4(z0))))))))))))))))))))
   3(c_3(c_4(c_1(c_1(c_4(c_4(c_3(c_1(c_0(c_1(c_3(c_0(c_0(c_3(c_1(c_3(c_3(c_2(c_0(z0)))))))))))))))))))) -> 2(1(4(1(1(1(4(2(4(2(4(1(3(4(2(3(3(2(2(4(z0))))))))))))))))))))
   3(c_4(c_1(c_4(c_3(c_2(c_2(c_4(c_1(c_1(c_4(c_4(c_2(c_3(c_0(c_1(c_1(c_3(c_0(c_1(z0)))))))))))))))))))) -> 4(1(4(0(1(4(1(2(2(4(2(2(1(2(2(1(1(1(3(2(z0))))))))))))))))))))
   3(c_4(c_2(c_4(c_2(c_0(c_3(c_4(c_2(c_4(c_3(c_1(c_4(c_3(c_4(c_0(c_4(c_4(c_3(c_1(z0)))))))))))))))))))) -> 3(4(1(3(2(3(3(4(4(1(1(3(1(3(3(1(1(4(1(0(z0))))))))))))))))))))
   3(c_2(c_1(c_0(c_2(c_3(c_1(c_2(c_3(c_2(c_0(c_1(c_0(c_3(c_0(c_0(c_1(c_4(c_2(c_1(z0)))))))))))))))))))) -> 1(3(1(4(1(1(1(4(0(0(2(1(0(4(1(2(2(3(1(1(z0))))))))))))))))))))
   3(c_1(c_0(c_0(c_0(c_4(c_0(c_4(c_3(c_0(c_2(c_4(c_3(c_3(c_3(c_1(c_1(c_3(c_0(c_1(z0)))))))))))))))))))) -> 4(2(4(2(0(1(2(3(4(1(0(3(1(2(2(0(4(4(2(4(z0))))))))))))))))))))
   3(c_4(c_2(c_1(c_4(c_1(c_3(c_4(c_3(c_4(c_2(c_0(c_2(c_2(c_4(c_3(c_0(c_1(c_0(c_1(z0)))))))))))))))))))) -> 4(2(1(4(1(2(2(2(2(2(3(1(0(1(2(4(3(1(2(4(z0))))))))))))))))))))
   3(c_4(c_0(c_0(c_1(c_2(c_0(c_4(c_4(c_4(c_4(c_4(c_1(c_2(c_2(c_4(c_4(c_0(c_3(c_0(z0)))))))))))))))))))) -> 3(2(3(4(1(1(4(3(4(4(1(1(2(2(4(4(0(0(4(0(z0))))))))))))))))))))
   3(c_2(c_4(c_4(c_2(c_0(c_2(c_4(c_4(c_3(c_3(c_1(c_1(c_2(c_4(c_2(c_3(c_4(c_4(c_2(z0)))))))))))))))))))) -> 1(4(1(3(3(2(1(2(3(4(2(4(1(3(0(4(2(1(3(1(z0))))))))))))))))))))
   3(c_4(c_0(c_3(c_1(c_3(c_3(c_3(c_0(c_1(c_3(c_2(c_2(c_3(c_4(c_2(c_2(c_4(c_4(c_2(z0)))))))))))))))))))) -> 0(3(2(1(1(1(3(2(4(0(3(0(3(3(0(2(1(2(1(2(z0))))))))))))))))))))
   3(c_4(c_0(c_0(c_4(c_1(c_4(c_1(c_1(c_0(c_1(c_0(c_1(c_2(c_1(c_3(c_2(c_2(c_3(c_4(z0)))))))))))))))))))) -> 1(3(4(2(1(3(0(1(4(3(1(3(4(0(4(1(2(4(0(2(z0))))))))))))))))))))
   3(c_2(c_2(c_3(c_3(c_0(c_0(c_4(c_4(c_0(c_4(c_4(c_4(c_2(c_3(c_3(c_1(c_1(c_2(c_1(z0)))))))))))))))))))) -> 3(0(3(4(4(4(4(1(4(3(3(0(0(2(3(2(1(2(2(1(z0))))))))))))))))))))
   3(c_2(c_4(c_0(c_0(c_2(c_4(c_0(c_4(c_3(c_4(c_2(c_1(c_1(c_2(c_4(c_3(c_3(c_2(c_1(z0)))))))))))))))))))) -> 0(3(3(4(3(1(4(2(4(3(2(1(4(1(4(0(3(1(4(2(z0))))))))))))))))))))
   3(c_0(c_2(c_2(c_1(c_0(c_0(c_0(c_0(c_0(c_3(c_1(c_0(c_0(c_4(c_3(c_4(c_2(c_2(c_0(z0)))))))))))))))))))) -> 3(2(2(0(0(2(2(4(0(4(3(4(3(0(2(2(3(2(1(0(z0))))))))))))))))))))
   3(c_0(c_3(c_0(c_0(c_1(c_3(c_2(c_4(c_4(c_4(c_0(c_3(c_0(c_1(c_4(c_1(c_2(c_4(c_3(z0)))))))))))))))))))) -> 2(2(3(2(1(0(2(0(0(2(0(4(0(4(0(4(3(2(2(3(z0))))))))))))))))))))
   3(c_4(c_4(c_0(c_0(c_0(c_0(c_3(c_2(c_2(c_2(c_1(c_4(c_4(c_4(c_1(c_2(c_4(c_0(c_3(z0)))))))))))))))))))) -> 1(1(4(0(0(2(0(1(2(2(2(2(0(1(3(1(0(2(0(0(z0))))))))))))))))))))
   3(c_0(c_1(c_4(c_2(c_2(c_1(c_1(c_2(c_4(c_4(c_1(c_1(c_1(c_3(c_1(c_1(c_3(c_3(c_3(z0)))))))))))))))))))) -> 3(3(4(2(1(1(3(1(2(1(2(2(1(3(4(1(4(2(4(2(z0))))))))))))))))))))
   3(c_1(c_4(c_4(c_1(c_4(c_3(c_4(c_0(c_3(c_0(c_2(c_0(c_3(c_2(c_1(c_2(c_3(c_2(c_4(z0)))))))))))))))))))) -> 2(0(3(1(2(3(1(2(1(2(1(3(3(4(2(0(0(2(2(1(z0))))))))))))))))))))
   3(c_3(c_3(c_4(c_2(c_3(c_3(c_0(c_1(c_3(c_4(c_4(c_4(c_0(c_4(c_2(c_2(c_4(c_0(c_2(z0)))))))))))))))))))) -> 3(4(3(4(1(3(4(2(2(2(2(0(4(1(3(3(1(1(4(4(z0))))))))))))))))))))
   4(z0) -> c_4(z0)
   4(c_1(c_3(c_2(c_2(c_4(c_4(c_2(c_0(c_0(c_3(c_2(c_3(c_1(c_1(c_3(c_2(c_3(c_3(c_1(z0)))))))))))))))))))) -> 3(2(1(2(1(3(2(1(3(2(3(2(1(1(2(1(2(3(4(3(z0))))))))))))))))))))
   4(c_0(c_3(c_0(c_3(c_1(c_1(c_2(c_0(c_4(c_3(c_0(c_4(c_3(c_1(c_0(c_0(c_4(c_2(c_4(z0)))))))))))))))))))) -> 2(4(4(4(4(2(2(2(2(4(3(2(2(3(4(1(2(0(1(3(z0))))))))))))))))))))
   4(c_3(c_4(c_3(c_4(c_4(c_3(c_0(c_3(c_3(c_2(c_2(c_3(c_1(c_3(c_2(c_2(c_3(c_4(c_1(z0)))))))))))))))))))) -> 4(1(0(0(4(3(4(1(2(4(3(3(2(1(3(4(1(0(3(1(z0))))))))))))))))))))
   4(c_4(c_0(c_4(c_4(c_1(c_0(c_3(c_3(c_2(c_0(c_3(c_0(c_1(c_3(c_0(c_3(c_1(c_3(c_3(z0)))))))))))))))))))) -> 2(1(0(3(1(3(1(4(3(3(0(0(1(4(4(1(2(2(3(0(z0))))))))))))))))))))
   4(c_2(c_1(c_2(c_1(c_1(c_2(c_3(c_4(c_2(c_3(c_2(c_1(c_4(c_2(c_2(c_4(c_0(c_3(c_0(z0)))))))))))))))))))) -> 3(1(0(2(1(3(1(2(1(0(2(1(1(3(1(0(4(0(3(4(z0))))))))))))))))))))
   4(c_0(c_2(c_4(c_2(c_1(c_4(c_2(c_4(c_2(c_4(c_1(c_2(c_0(c_1(c_0(c_3(c_0(c_3(c_0(z0)))))))))))))))))))) -> 0(3(1(0(4(1(4(2(3(1(4(4(1(2(0(1(0(0(0(4(z0))))))))))))))))))))
   4(c_3(c_2(c_0(c_1(c_0(c_2(c_2(c_3(c_1(c_4(c_0(c_0(c_3(c_4(c_0(c_0(c_1(c_1(c_2(z0)))))))))))))))))))) -> 3(2(0(3(0(0(4(1(1(4(2(4(1(4(3(1(3(1(4(3(z0))))))))))))))))))))
   4(c_1(c_3(c_4(c_1(c_3(c_0(c_2(c_4(c_3(c_4(c_3(c_3(c_1(c_0(c_2(c_0(c_1(c_2(c_4(z0)))))))))))))))))))) -> 2(0(4(4(1(0(2(2(1(1(4(0(4(0(1(4(0(4(4(3(z0))))))))))))))))))))
   4(c_3(c_1(c_3(c_2(c_2(c_4(c_0(c_1(c_0(c_4(c_0(c_0(c_2(c_1(c_0(c_1(c_4(c_3(c_0(z0)))))))))))))))))))) -> 1(3(1(1(1(1(3(4(4(1(4(4(1(4(0(4(2(4(1(3(z0))))))))))))))))))))
   4(c_1(c_3(c_4(c_2(c_3(c_0(c_4(c_4(c_3(c_3(c_1(c_1(c_3(c_4(c_1(c_1(c_3(c_3(c_0(z0)))))))))))))))))))) -> 2(4(4(4(4(2(2(4(1(0(2(2(4(0(3(2(2(2(2(2(z0))))))))))))))))))))
   4(c_3(c_4(c_4(c_2(c_2(c_3(c_2(c_0(c_4(c_2(c_4(c_2(c_2(c_1(c_4(c_2(c_3(c_3(c_0(z0)))))))))))))))))))) -> 1(2(1(2(1(1(0(4(0(1(1(4(2(1(0(4(1(0(4(3(z0))))))))))))))))))))
   4(c_4(c_3(c_2(c_1(c_2(c_0(c_3(c_0(c_4(c_0(c_2(c_1(c_4(c_4(c_0(c_2(c_1(c_3(c_0(z0)))))))))))))))))))) -> 4(2(4(1(4(2(2(0(1(0(3(1(3(0(1(3(3(2(1(0(z0))))))))))))))))))))
   4(c_1(c_2(c_1(c_0(c_4(c_3(c_1(c_3(c_0(c_2(c_3(c_3(c_4(c_3(c_1(c_0(c_0(c_0(c_4(z0)))))))))))))))))))) -> 3(2(0(2(2(1(2(1(1(2(3(0(1(3(3(3(2(4(1(0(z0))))))))))))))))))))
   4(c_0(c_0(c_3(c_3(c_1(c_0(c_2(c_2(c_0(c_4(c_0(c_4(c_3(c_0(c_0(c_2(c_2(c_1(c_3(z0)))))))))))))))))))) -> 0(0(3(2(1(2(3(2(4(3(1(2(0(2(2(1(1(0(3(1(z0))))))))))))))))))))
   4(c_3(c_4(c_3(c_4(c_4(c_2(c_0(c_4(c_4(c_2(c_0(c_2(c_0(c_4(c_4(c_2(c_2(c_3(c_3(z0)))))))))))))))))))) -> 3(4(0(1(3(0(0(4(3(1(2(2(3(1(3(4(2(2(0(3(z0))))))))))))))))))))
   4(c_3(c_2(c_3(c_2(c_2(c_1(c_2(c_0(c_3(c_0(c_0(c_0(c_1(c_1(c_3(c_2(c_4(c_3(c_4(z0)))))))))))))))))))) -> 1(3(1(4(0(2(1(0(0(1(3(4(0(3(3(4(2(1(2(1(z0))))))))))))))))))))
   4(c_0(c_2(c_1(c_3(c_3(c_4(c_4(c_0(c_0(c_0(c_3(c_2(c_3(c_4(c_4(c_4(c_3(c_2(c_3(z0)))))))))))))))))))) -> 4(0(2(1(4(0(2(0(0(4(0(4(1(0(2(3(4(4(1(2(z0))))))))))))))))))))
   4(c_1(c_1(c_0(c_3(c_0(c_1(c_3(c_0(c_4(c_4(c_2(c_1(c_2(c_4(c_2(c_0(c_0(c_3(c_0(z0)))))))))))))))))))) -> 2(3(2(0(1(4(4(4(3(2(3(3(1(4(3(4(2(0(1(3(z0))))))))))))))))))))
   4(c_3(c_3(c_2(c_2(c_1(c_3(c_4(c_4(c_2(c_4(c_2(c_3(c_0(c_0(c_2(c_2(c_3(c_2(c_4(z0)))))))))))))))))))) -> 3(2(2(1(1(0(2(2(4(0(0(0(2(1(3(1(0(4(3(4(z0))))))))))))))))))))
   4(c_1(c_0(c_2(c_0(c_3(c_2(c_1(c_1(c_3(c_1(c_1(c_0(c_1(c_1(c_2(c_0(c_0(c_4(c_4(z0)))))))))))))))))))) -> 2(1(4(2(2(2(2(2(2(2(0(1(0(3(1(0(1(1(4(0(z0))))))))))))))))))))
   4(c_1(c_1(c_1(c_2(c_2(c_3(c_3(c_3(c_4(c_4(c_0(c_2(c_0(c_2(c_1(c_0(c_1(c_0(c_0(z0)))))))))))))))))))) -> 1(1(0(3(4(0(2(3(1(4(2(4(1(0(4(0(3(1(1(4(z0))))))))))))))))))))
   4(c_4(c_1(c_1(c_2(c_0(c_1(c_0(c_2(c_2(c_1(c_0(c_0(c_1(c_0(c_0(c_1(c_1(c_3(c_2(z0)))))))))))))))))))) -> 3(1(4(1(4(4(3(1(2(3(3(2(1(3(3(1(1(3(2(4(z0))))))))))))))))))))
   4(c_4(c_3(c_4(c_4(c_2(c_4(c_1(c_1(c_0(c_2(c_3(c_1(c_0(c_3(c_1(c_2(c_2(c_4(c_0(z0)))))))))))))))))))) -> 1(2(1(1(1(2(4(1(4(3(1(4(1(4(3(2(0(4(2(2(z0))))))))))))))))))))
   4(c_0(c_4(c_3(c_0(c_0(c_2(c_1(c_2(c_2(c_0(c_3(c_0(c_3(c_1(c_1(c_1(c_3(c_3(c_3(z0)))))))))))))))))))) -> 4(1(2(1(1(2(2(1(1(2(0(1(0(2(4(4(1(1(1(0(z0))))))))))))))))))))
Tuples:
   ENCARG(cons_4(z0)) -> c4(4'(encArg(z0)), ENCARG(z0))
   0'(c_4(c_4(c_4(c_0(c_2(c_2(c_1(c_3(c_2(c_1(c_0(c_4(c_1(c_3(c_0(c_1(c_3(c_4(c_4(z0)))))))))))))))))))) -> c11(3'(2(3(0(1(2(2(3(1(4(0(4(1(1(1(4(2(2(1(1(z0)))))))))))))))))))), 2'(3(0(1(2(2(3(1(4(0(4(1(1(1(4(2(2(1(1(z0))))))))))))))))))), 3'(0(1(2(2(3(1(4(0(4(1(1(1(4(2(2(1(1(z0)))))))))))))))))), 0'(1(2(2(3(1(4(0(4(1(1(1(4(2(2(1(1(z0))))))))))))))))), 1'(2(2(3(1(4(0(4(1(1(1(4(2(2(1(1(z0)))))))))))))))), 2'(2(3(1(4(0(4(1(1(1(4(2(2(1(1(z0))))))))))))))), 2'(3(1(4(0(4(1(1(1(4(2(2(1(1(z0)))))))))))))), 3'(1(4(0(4(1(1(1(4(2(2(1(1(z0))))))))))))), 1'(4(0(4(1(1(1(4(2(2(1(1(z0)))))))))))), 4'(0(4(1(1(1(4(2(2(1(1(z0))))))))))), 0'(4(1(1(1(4(2(2(1(1(z0)))))))))), 4'(1(1(1(4(2(2(1(1(z0))))))))), 1'(1(1(4(2(2(1(1(z0)))))))), 1'(1(4(2(2(1(1(z0))))))), 1'(4(2(2(1(1(z0)))))), 4'(2(2(1(1(z0))))), 2'(2(1(1(z0)))), 2'(1(1(z0))), 1'(1(z0)), 1'(z0))
   0'(c_1(c_4(c_2(c_3(c_1(c_1(c_2(c_3(c_2(c_3(c_1(c_0(c_1(c_0(c_2(c_0(c_2(c_3(c_2(z0)))))))))))))))))))) -> c12(3'(1(3(2(0(4(1(3(2(1(0(4(0(4(4(3(2(1(4(3(z0)))))))))))))))))))), 1'(3(2(0(4(1(3(2(1(0(4(0(4(4(3(2(1(4(3(z0))))))))))))))))))), 3'(2(0(4(1(3(2(1(0(4(0(4(4(3(2(1(4(3(z0)))))))))))))))))), 2'(0(4(1(3(2(1(0(4(0(4(4(3(2(1(4(3(z0))))))))))))))))), 0'(4(1(3(2(1(0(4(0(4(4(3(2(1(4(3(z0)))))))))))))))), 4'(1(3(2(1(0(4(0(4(4(3(2(1(4(3(z0))))))))))))))), 1'(3(2(1(0(4(0(4(4(3(2(1(4(3(z0)))))))))))))), 3'(2(1(0(4(0(4(4(3(2(1(4(3(z0))))))))))))), 2'(1(0(4(0(4(4(3(2(1(4(3(z0)))))))))))), 1'(0(4(0(4(4(3(2(1(4(3(z0))))))))))), 0'(4(0(4(4(3(2(1(4(3(z0)))))))))), 4'(0(4(4(3(2(1(4(3(z0))))))))), 0'(4(4(3(2(1(4(3(z0)))))))), 4'(4(3(2(1(4(3(z0))))))), 4'(3(2(1(4(3(z0)))))), 3'(2(1(4(3(z0))))), 2'(1(4(3(z0)))), 1'(4(3(z0))), 4'(3(z0)), 3'(z0))
   0'(c_3(c_0(c_0(c_1(c_1(c_4(c_3(c_4(c_3(c_0(c_4(c_2(c_1(c_4(c_3(c_4(c_2(c_1(c_2(z0)))))))))))))))))))) -> c13(1'(4(0(1(2(2(2(3(4(4(2(4(2(2(1(3(1(4(2(4(z0)))))))))))))))))))), 4'(0(1(2(2(2(3(4(4(2(4(2(2(1(3(1(4(2(4(z0))))))))))))))))))), 0'(1(2(2(2(3(4(4(2(4(2(2(1(3(1(4(2(4(z0)))))))))))))))))), 1'(2(2(2(3(4(4(2(4(2(2(1(3(1(4(2(4(z0))))))))))))))))), 2'(2(2(3(4(4(2(4(2(2(1(3(1(4(2(4(z0)))))))))))))))), 2'(2(3(4(4(2(4(2(2(1(3(1(4(2(4(z0))))))))))))))), 2'(3(4(4(2(4(2(2(1(3(1(4(2(4(z0)))))))))))))), 3'(4(4(2(4(2(2(1(3(1(4(2(4(z0))))))))))))), 4'(4(2(4(2(2(1(3(1(4(2(4(z0)))))))))))), 4'(2(4(2(2(1(3(1(4(2(4(z0))))))))))), 2'(4(2(2(1(3(1(4(2(4(z0)))))))))), 4'(2(2(1(3(1(4(2(4(z0))))))))), 2'(2(1(3(1(4(2(4(z0)))))))), 2'(1(3(1(4(2(4(z0))))))), 1'(3(1(4(2(4(z0)))))), 3'(1(4(2(4(z0))))), 1'(4(2(4(z0)))), 4'(2(4(z0))), 2'(4(z0)), 4'(z0))
   0'(c_0(c_0(c_0(c_1(c_0(c_2(c_2(c_3(c_2(c_1(c_1(c_0(c_3(c_2(c_1(c_1(c_1(c_2(c_4(z0)))))))))))))))))))) -> c14(0'(3(2(3(3(2(1(4(2(2(2(1(0(0(2(0(1(2(2(4(z0)))))))))))))))))))), 3'(2(3(3(2(1(4(2(2(2(1(0(0(2(0(1(2(2(4(z0))))))))))))))))))), 2'(3(3(2(1(4(2(2(2(1(0(0(2(0(1(2(2(4(z0)))))))))))))))))), 3'(3(2(1(4(2(2(2(1(0(0(2(0(1(2(2(4(z0))))))))))))))))), 3'(2(1(4(2(2(2(1(0(0(2(0(1(2(2(4(z0)))))))))))))))), 2'(1(4(2(2(2(1(0(0(2(0(1(2(2(4(z0))))))))))))))), 1'(4(2(2(2(1(0(0(2(0(1(2(2(4(z0)))))))))))))), 4'(2(2(2(1(0(0(2(0(1(2(2(4(z0))))))))))))), 2'(2(2(1(0(0(2(0(1(2(2(4(z0)))))))))))), 2'(2(1(0(0(2(0(1(2(2(4(z0))))))))))), 2'(1(0(0(2(0(1(2(2(4(z0)))))))))), 1'(0(0(2(0(1(2(2(4(z0))))))))), 0'(0(2(0(1(2(2(4(z0)))))))), 0'(2(0(1(2(2(4(z0))))))), 2'(0(1(2(2(4(z0)))))), 0'(1(2(2(4(z0))))), 1'(2(2(4(z0)))), 2'(2(4(z0))), 2'(4(z0)), 4'(z0))
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   4'(c_3(c_2(c_3(c_2(c_2(c_1(c_2(c_0(c_3(c_0(c_0(c_0(c_1(c_1(c_3(c_2(c_4(c_3(c_4(z0)))))))))))))))))))) -> c105(1'(3(1(4(0(2(1(0(0(1(3(4(0(3(3(4(2(1(2(1(z0)))))))))))))))))))), 3'(1(4(0(2(1(0(0(1(3(4(0(3(3(4(2(1(2(1(z0))))))))))))))))))), 1'(4(0(2(1(0(0(1(3(4(0(3(3(4(2(1(2(1(z0)))))))))))))))))), 4'(0(2(1(0(0(1(3(4(0(3(3(4(2(1(2(1(z0))))))))))))))))), 0'(2(1(0(0(1(3(4(0(3(3(4(2(1(2(1(z0)))))))))))))))), 2'(1(0(0(1(3(4(0(3(3(4(2(1(2(1(z0))))))))))))))), 1'(0(0(1(3(4(0(3(3(4(2(1(2(1(z0)))))))))))))), 0'(0(1(3(4(0(3(3(4(2(1(2(1(z0))))))))))))), 0'(1(3(4(0(3(3(4(2(1(2(1(z0)))))))))))), 1'(3(4(0(3(3(4(2(1(2(1(z0))))))))))), 3'(4(0(3(3(4(2(1(2(1(z0)))))))))), 4'(0(3(3(4(2(1(2(1(z0))))))))), 0'(3(3(4(2(1(2(1(z0)))))))), 3'(3(4(2(1(2(1(z0))))))), 3'(4(2(1(2(1(z0)))))), 4'(2(1(2(1(z0))))), 2'(1(2(1(z0)))), 1'(2(1(z0))), 2'(1(z0)), 1'(z0))
   4'(c_0(c_2(c_1(c_3(c_3(c_4(c_4(c_0(c_0(c_0(c_3(c_2(c_3(c_4(c_4(c_4(c_3(c_2(c_3(z0)))))))))))))))))))) -> c106(4'(0(2(1(4(0(2(0(0(4(0(4(1(0(2(3(4(4(1(2(z0)))))))))))))))))))), 0'(2(1(4(0(2(0(0(4(0(4(1(0(2(3(4(4(1(2(z0))))))))))))))))))), 2'(1(4(0(2(0(0(4(0(4(1(0(2(3(4(4(1(2(z0)))))))))))))))))), 1'(4(0(2(0(0(4(0(4(1(0(2(3(4(4(1(2(z0))))))))))))))))), 4'(0(2(0(0(4(0(4(1(0(2(3(4(4(1(2(z0)))))))))))))))), 0'(2(0(0(4(0(4(1(0(2(3(4(4(1(2(z0))))))))))))))), 2'(0(0(4(0(4(1(0(2(3(4(4(1(2(z0)))))))))))))), 0'(0(4(0(4(1(0(2(3(4(4(1(2(z0))))))))))))), 0'(4(0(4(1(0(2(3(4(4(1(2(z0)))))))))))), 4'(0(4(1(0(2(3(4(4(1(2(z0))))))))))), 0'(4(1(0(2(3(4(4(1(2(z0)))))))))), 4'(1(0(2(3(4(4(1(2(z0))))))))), 1'(0(2(3(4(4(1(2(z0)))))))), 0'(2(3(4(4(1(2(z0))))))), 2'(3(4(4(1(2(z0)))))), 3'(4(4(1(2(z0))))), 4'(4(1(2(z0)))), 4'(1(2(z0))), 1'(2(z0)), 2'(z0))
   4'(c_1(c_1(c_0(c_3(c_0(c_1(c_3(c_0(c_4(c_4(c_2(c_1(c_2(c_4(c_2(c_0(c_0(c_3(c_0(z0)))))))))))))))))))) -> c107(2'(3(2(0(1(4(4(4(3(2(3(3(1(4(3(4(2(0(1(3(z0)))))))))))))))))))), 3'(2(0(1(4(4(4(3(2(3(3(1(4(3(4(2(0(1(3(z0))))))))))))))))))), 2'(0(1(4(4(4(3(2(3(3(1(4(3(4(2(0(1(3(z0)))))))))))))))))), 0'(1(4(4(4(3(2(3(3(1(4(3(4(2(0(1(3(z0))))))))))))))))), 1'(4(4(4(3(2(3(3(1(4(3(4(2(0(1(3(z0)))))))))))))))), 4'(4(4(3(2(3(3(1(4(3(4(2(0(1(3(z0))))))))))))))), 4'(4(3(2(3(3(1(4(3(4(2(0(1(3(z0)))))))))))))), 4'(3(2(3(3(1(4(3(4(2(0(1(3(z0))))))))))))), 3'(2(3(3(1(4(3(4(2(0(1(3(z0)))))))))))), 2'(3(3(1(4(3(4(2(0(1(3(z0))))))))))), 3'(3(1(4(3(4(2(0(1(3(z0)))))))))), 3'(1(4(3(4(2(0(1(3(z0))))))))), 1'(4(3(4(2(0(1(3(z0)))))))), 4'(3(4(2(0(1(3(z0))))))), 3'(4(2(0(1(3(z0)))))), 4'(2(0(1(3(z0))))), 2'(0(1(3(z0)))), 0'(1(3(z0))), 1'(3(z0)), 3'(z0))
   4'(c_3(c_3(c_2(c_2(c_1(c_3(c_4(c_4(c_2(c_4(c_2(c_3(c_0(c_0(c_2(c_2(c_3(c_2(c_4(z0)))))))))))))))))))) -> c108(3'(2(2(1(1(0(2(2(4(0(0(0(2(1(3(1(0(4(3(4(z0)))))))))))))))))))), 2'(2(1(1(0(2(2(4(0(0(0(2(1(3(1(0(4(3(4(z0))))))))))))))))))), 2'(1(1(0(2(2(4(0(0(0(2(1(3(1(0(4(3(4(z0)))))))))))))))))), 1'(1(0(2(2(4(0(0(0(2(1(3(1(0(4(3(4(z0))))))))))))))))), 1'(0(2(2(4(0(0(0(2(1(3(1(0(4(3(4(z0)))))))))))))))), 0'(2(2(4(0(0(0(2(1(3(1(0(4(3(4(z0))))))))))))))), 2'(2(4(0(0(0(2(1(3(1(0(4(3(4(z0)))))))))))))), 2'(4(0(0(0(2(1(3(1(0(4(3(4(z0))))))))))))), 4'(0(0(0(2(1(3(1(0(4(3(4(z0)))))))))))), 0'(0(0(2(1(3(1(0(4(3(4(z0))))))))))), 0'(0(2(1(3(1(0(4(3(4(z0)))))))))), 0'(2(1(3(1(0(4(3(4(z0))))))))), 2'(1(3(1(0(4(3(4(z0)))))))), 1'(3(1(0(4(3(4(z0))))))), 3'(1(0(4(3(4(z0)))))), 1'(0(4(3(4(z0))))), 0'(4(3(4(z0)))), 4'(3(4(z0))), 3'(4(z0)), 4'(z0))
   4'(c_1(c_0(c_2(c_0(c_3(c_2(c_1(c_1(c_3(c_1(c_1(c_0(c_1(c_1(c_2(c_0(c_0(c_4(c_4(z0)))))))))))))))))))) -> c109(2'(1(4(2(2(2(2(2(2(2(0(1(0(3(1(0(1(1(4(0(z0)))))))))))))))))))), 1'(4(2(2(2(2(2(2(2(0(1(0(3(1(0(1(1(4(0(z0))))))))))))))))))), 4'(2(2(2(2(2(2(2(0(1(0(3(1(0(1(1(4(0(z0)))))))))))))))))), 2'(2(2(2(2(2(2(0(1(0(3(1(0(1(1(4(0(z0))))))))))))))))), 2'(2(2(2(2(2(0(1(0(3(1(0(1(1(4(0(z0)))))))))))))))), 2'(2(2(2(2(0(1(0(3(1(0(1(1(4(0(z0))))))))))))))), 2'(2(2(2(0(1(0(3(1(0(1(1(4(0(z0)))))))))))))), 2'(2(2(0(1(0(3(1(0(1(1(4(0(z0))))))))))))), 2'(2(0(1(0(3(1(0(1(1(4(0(z0)))))))))))), 2'(0(1(0(3(1(0(1(1(4(0(z0))))))))))), 0'(1(0(3(1(0(1(1(4(0(z0)))))))))), 1'(0(3(1(0(1(1(4(0(z0))))))))), 0'(3(1(0(1(1(4(0(z0)))))))), 3'(1(0(1(1(4(0(z0))))))), 1'(0(1(1(4(0(z0)))))), 0'(1(1(4(0(z0))))), 1'(1(4(0(z0)))), 1'(4(0(z0))), 4'(0(z0)), 0'(z0))
   4'(c_1(c_1(c_1(c_2(c_2(c_3(c_3(c_3(c_4(c_4(c_0(c_2(c_0(c_2(c_1(c_0(c_1(c_0(c_0(z0)))))))))))))))))))) -> c110(1'(1(0(3(4(0(2(3(1(4(2(4(1(0(4(0(3(1(1(4(z0)))))))))))))))))))), 1'(0(3(4(0(2(3(1(4(2(4(1(0(4(0(3(1(1(4(z0))))))))))))))))))), 0'(3(4(0(2(3(1(4(2(4(1(0(4(0(3(1(1(4(z0)))))))))))))))))), 3'(4(0(2(3(1(4(2(4(1(0(4(0(3(1(1(4(z0))))))))))))))))), 4'(0(2(3(1(4(2(4(1(0(4(0(3(1(1(4(z0)))))))))))))))), 0'(2(3(1(4(2(4(1(0(4(0(3(1(1(4(z0))))))))))))))), 2'(3(1(4(2(4(1(0(4(0(3(1(1(4(z0)))))))))))))), 3'(1(4(2(4(1(0(4(0(3(1(1(4(z0))))))))))))), 1'(4(2(4(1(0(4(0(3(1(1(4(z0)))))))))))), 4'(2(4(1(0(4(0(3(1(1(4(z0))))))))))), 2'(4(1(0(4(0(3(1(1(4(z0)))))))))), 4'(1(0(4(0(3(1(1(4(z0))))))))), 1'(0(4(0(3(1(1(4(z0)))))))), 0'(4(0(3(1(1(4(z0))))))), 4'(0(3(1(1(4(z0)))))), 0'(3(1(1(4(z0))))), 3'(1(1(4(z0)))), 1'(1(4(z0))), 1'(4(z0)), 4'(z0))
   4'(c_4(c_1(c_1(c_2(c_0(c_1(c_0(c_2(c_2(c_1(c_0(c_0(c_1(c_0(c_0(c_1(c_1(c_3(c_2(z0)))))))))))))))))))) -> c111(3'(1(4(1(4(4(3(1(2(3(3(2(1(3(3(1(1(3(2(4(z0)))))))))))))))))))), 1'(4(1(4(4(3(1(2(3(3(2(1(3(3(1(1(3(2(4(z0))))))))))))))))))), 4'(1(4(4(3(1(2(3(3(2(1(3(3(1(1(3(2(4(z0)))))))))))))))))), 1'(4(4(3(1(2(3(3(2(1(3(3(1(1(3(2(4(z0))))))))))))))))), 4'(4(3(1(2(3(3(2(1(3(3(1(1(3(2(4(z0)))))))))))))))), 4'(3(1(2(3(3(2(1(3(3(1(1(3(2(4(z0))))))))))))))), 3'(1(2(3(3(2(1(3(3(1(1(3(2(4(z0)))))))))))))), 1'(2(3(3(2(1(3(3(1(1(3(2(4(z0))))))))))))), 2'(3(3(2(1(3(3(1(1(3(2(4(z0)))))))))))), 3'(3(2(1(3(3(1(1(3(2(4(z0))))))))))), 3'(2(1(3(3(1(1(3(2(4(z0)))))))))), 2'(1(3(3(1(1(3(2(4(z0))))))))), 1'(3(3(1(1(3(2(4(z0)))))))), 3'(3(1(1(3(2(4(z0))))))), 3'(1(1(3(2(4(z0)))))), 1'(1(3(2(4(z0))))), 1'(3(2(4(z0)))), 3'(2(4(z0))), 2'(4(z0)), 4'(z0))
   4'(c_4(c_3(c_4(c_4(c_2(c_4(c_1(c_1(c_0(c_2(c_3(c_1(c_0(c_3(c_1(c_2(c_2(c_4(c_0(z0)))))))))))))))))))) -> c112(1'(2(1(1(1(2(4(1(4(3(1(4(1(4(3(2(0(4(2(2(z0)))))))))))))))))))), 2'(1(1(1(2(4(1(4(3(1(4(1(4(3(2(0(4(2(2(z0))))))))))))))))))), 1'(1(1(2(4(1(4(3(1(4(1(4(3(2(0(4(2(2(z0)))))))))))))))))), 1'(1(2(4(1(4(3(1(4(1(4(3(2(0(4(2(2(z0))))))))))))))))), 1'(2(4(1(4(3(1(4(1(4(3(2(0(4(2(2(z0)))))))))))))))), 2'(4(1(4(3(1(4(1(4(3(2(0(4(2(2(z0))))))))))))))), 4'(1(4(3(1(4(1(4(3(2(0(4(2(2(z0)))))))))))))), 1'(4(3(1(4(1(4(3(2(0(4(2(2(z0))))))))))))), 4'(3(1(4(1(4(3(2(0(4(2(2(z0)))))))))))), 3'(1(4(1(4(3(2(0(4(2(2(z0))))))))))), 1'(4(1(4(3(2(0(4(2(2(z0)))))))))), 4'(1(4(3(2(0(4(2(2(z0))))))))), 1'(4(3(2(0(4(2(2(z0)))))))), 4'(3(2(0(4(2(2(z0))))))), 3'(2(0(4(2(2(z0)))))), 2'(0(4(2(2(z0))))), 0'(4(2(2(z0)))), 4'(2(2(z0))), 2'(2(z0)), 2'(z0))
   4'(c_0(c_4(c_3(c_0(c_0(c_2(c_1(c_2(c_2(c_0(c_3(c_0(c_3(c_1(c_1(c_1(c_3(c_3(c_3(z0)))))))))))))))))))) -> c113(4'(1(2(1(1(2(2(1(1(2(0(1(0(2(4(4(1(1(1(0(z0)))))))))))))))))))), 1'(2(1(1(2(2(1(1(2(0(1(0(2(4(4(1(1(1(0(z0))))))))))))))))))), 2'(1(1(2(2(1(1(2(0(1(0(2(4(4(1(1(1(0(z0)))))))))))))))))), 1'(1(2(2(1(1(2(0(1(0(2(4(4(1(1(1(0(z0))))))))))))))))), 1'(2(2(1(1(2(0(1(0(2(4(4(1(1(1(0(z0)))))))))))))))), 2'(2(1(1(2(0(1(0(2(4(4(1(1(1(0(z0))))))))))))))), 2'(1(1(2(0(1(0(2(4(4(1(1(1(0(z0)))))))))))))), 1'(1(2(0(1(0(2(4(4(1(1(1(0(z0))))))))))))), 1'(2(0(1(0(2(4(4(1(1(1(0(z0)))))))))))), 2'(0(1(0(2(4(4(1(1(1(0(z0))))))))))), 0'(1(0(2(4(4(1(1(1(0(z0)))))))))), 1'(0(2(4(4(1(1(1(0(z0))))))))), 0'(2(4(4(1(1(1(0(z0)))))))), 2'(4(4(1(1(1(0(z0))))))), 4'(4(1(1(1(0(z0)))))), 4'(1(1(1(0(z0))))), 1'(1(1(0(z0)))), 1'(1(0(z0))), 1'(0(z0)), 0'(z0))
   ENCODE_0(z0) -> c10(0'(encArg(z0)))
   ENCODE_1(z0) -> c10(1'(encArg(z0)))
   ENCODE_2(z0) -> c10(2'(encArg(z0)))
   ENCODE_3(z0) -> c10(3'(encArg(z0)))
   ENCODE_4(z0) -> c10(4'(encArg(z0)))
   ENCARG(cons_0(cons_0(z0))) -> c(0'(0(encArg(z0))), ENCARG(cons_0(z0)))
   ENCARG(cons_0(cons_1(z0))) -> c(0'(1(encArg(z0))), ENCARG(cons_1(z0)))
   ENCARG(cons_0(cons_2(z0))) -> c(0'(2(encArg(z0))), ENCARG(cons_2(z0)))
   ENCARG(cons_0(cons_3(z0))) -> c(0'(3(encArg(z0))), ENCARG(cons_3(z0)))
   ENCARG(cons_0(cons_4(z0))) -> c(0'(4(encArg(z0))), ENCARG(cons_4(z0)))
   ENCARG(cons_1(cons_0(z0))) -> c1(1'(0(encArg(z0))), ENCARG(cons_0(z0)))
   ENCARG(cons_1(cons_1(z0))) -> c1(1'(1(encArg(z0))), ENCARG(cons_1(z0)))
   ENCARG(cons_1(cons_2(z0))) -> c1(1'(2(encArg(z0))), ENCARG(cons_2(z0)))
   ENCARG(cons_1(cons_3(z0))) -> c1(1'(3(encArg(z0))), ENCARG(cons_3(z0)))
   ENCARG(cons_1(cons_4(z0))) -> c1(1'(4(encArg(z0))), ENCARG(cons_4(z0)))
   ENCARG(cons_2(cons_0(z0))) -> c2(2'(0(encArg(z0))), ENCARG(cons_0(z0)))
   ENCARG(cons_2(cons_1(z0))) -> c2(2'(1(encArg(z0))), ENCARG(cons_1(z0)))
   ENCARG(cons_2(cons_2(z0))) -> c2(2'(2(encArg(z0))), ENCARG(cons_2(z0)))
   ENCARG(cons_2(cons_3(z0))) -> c2(2'(3(encArg(z0))), ENCARG(cons_3(z0)))
   ENCARG(cons_2(cons_4(z0))) -> c2(2'(4(encArg(z0))), ENCARG(cons_4(z0)))
   ENCARG(cons_3(cons_0(z0))) -> c3(3'(0(encArg(z0))), ENCARG(cons_0(z0)))
   ENCARG(cons_3(cons_1(z0))) -> c3(3'(1(encArg(z0))), ENCARG(cons_1(z0)))
   ENCARG(cons_3(cons_2(z0))) -> c3(3'(2(encArg(z0))), ENCARG(cons_2(z0)))
   ENCARG(cons_3(cons_3(z0))) -> c3(3'(3(encArg(z0))), ENCARG(cons_3(z0)))
   ENCARG(cons_3(cons_4(z0))) -> c3(3'(4(encArg(z0))), ENCARG(cons_4(z0)))
S tuples:
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   4'(c_3(c_2(c_3(c_2(c_2(c_1(c_2(c_0(c_3(c_0(c_0(c_0(c_1(c_1(c_3(c_2(c_4(c_3(c_4(z0)))))))))))))))))))) -> c105(1'(3(1(4(0(2(1(0(0(1(3(4(0(3(3(4(2(1(2(1(z0)))))))))))))))))))), 3'(1(4(0(2(1(0(0(1(3(4(0(3(3(4(2(1(2(1(z0))))))))))))))))))), 1'(4(0(2(1(0(0(1(3(4(0(3(3(4(2(1(2(1(z0)))))))))))))))))), 4'(0(2(1(0(0(1(3(4(0(3(3(4(2(1(2(1(z0))))))))))))))))), 0'(2(1(0(0(1(3(4(0(3(3(4(2(1(2(1(z0)))))))))))))))), 2'(1(0(0(1(3(4(0(3(3(4(2(1(2(1(z0))))))))))))))), 1'(0(0(1(3(4(0(3(3(4(2(1(2(1(z0)))))))))))))), 0'(0(1(3(4(0(3(3(4(2(1(2(1(z0))))))))))))), 0'(1(3(4(0(3(3(4(2(1(2(1(z0)))))))))))), 1'(3(4(0(3(3(4(2(1(2(1(z0))))))))))), 3'(4(0(3(3(4(2(1(2(1(z0)))))))))), 4'(0(3(3(4(2(1(2(1(z0))))))))), 0'(3(3(4(2(1(2(1(z0)))))))), 3'(3(4(2(1(2(1(z0))))))), 3'(4(2(1(2(1(z0)))))), 4'(2(1(2(1(z0))))), 2'(1(2(1(z0)))), 1'(2(1(z0))), 2'(1(z0)), 1'(z0))
   4'(c_0(c_2(c_1(c_3(c_3(c_4(c_4(c_0(c_0(c_0(c_3(c_2(c_3(c_4(c_4(c_4(c_3(c_2(c_3(z0)))))))))))))))))))) -> c106(4'(0(2(1(4(0(2(0(0(4(0(4(1(0(2(3(4(4(1(2(z0)))))))))))))))))))), 0'(2(1(4(0(2(0(0(4(0(4(1(0(2(3(4(4(1(2(z0))))))))))))))))))), 2'(1(4(0(2(0(0(4(0(4(1(0(2(3(4(4(1(2(z0)))))))))))))))))), 1'(4(0(2(0(0(4(0(4(1(0(2(3(4(4(1(2(z0))))))))))))))))), 4'(0(2(0(0(4(0(4(1(0(2(3(4(4(1(2(z0)))))))))))))))), 0'(2(0(0(4(0(4(1(0(2(3(4(4(1(2(z0))))))))))))))), 2'(0(0(4(0(4(1(0(2(3(4(4(1(2(z0)))))))))))))), 0'(0(4(0(4(1(0(2(3(4(4(1(2(z0))))))))))))), 0'(4(0(4(1(0(2(3(4(4(1(2(z0)))))))))))), 4'(0(4(1(0(2(3(4(4(1(2(z0))))))))))), 0'(4(1(0(2(3(4(4(1(2(z0)))))))))), 4'(1(0(2(3(4(4(1(2(z0))))))))), 1'(0(2(3(4(4(1(2(z0)))))))), 0'(2(3(4(4(1(2(z0))))))), 2'(3(4(4(1(2(z0)))))), 3'(4(4(1(2(z0))))), 4'(4(1(2(z0)))), 4'(1(2(z0))), 1'(2(z0)), 2'(z0))
   4'(c_1(c_1(c_0(c_3(c_0(c_1(c_3(c_0(c_4(c_4(c_2(c_1(c_2(c_4(c_2(c_0(c_0(c_3(c_0(z0)))))))))))))))))))) -> c107(2'(3(2(0(1(4(4(4(3(2(3(3(1(4(3(4(2(0(1(3(z0)))))))))))))))))))), 3'(2(0(1(4(4(4(3(2(3(3(1(4(3(4(2(0(1(3(z0))))))))))))))))))), 2'(0(1(4(4(4(3(2(3(3(1(4(3(4(2(0(1(3(z0)))))))))))))))))), 0'(1(4(4(4(3(2(3(3(1(4(3(4(2(0(1(3(z0))))))))))))))))), 1'(4(4(4(3(2(3(3(1(4(3(4(2(0(1(3(z0)))))))))))))))), 4'(4(4(3(2(3(3(1(4(3(4(2(0(1(3(z0))))))))))))))), 4'(4(3(2(3(3(1(4(3(4(2(0(1(3(z0)))))))))))))), 4'(3(2(3(3(1(4(3(4(2(0(1(3(z0))))))))))))), 3'(2(3(3(1(4(3(4(2(0(1(3(z0)))))))))))), 2'(3(3(1(4(3(4(2(0(1(3(z0))))))))))), 3'(3(1(4(3(4(2(0(1(3(z0)))))))))), 3'(1(4(3(4(2(0(1(3(z0))))))))), 1'(4(3(4(2(0(1(3(z0)))))))), 4'(3(4(2(0(1(3(z0))))))), 3'(4(2(0(1(3(z0)))))), 4'(2(0(1(3(z0))))), 2'(0(1(3(z0)))), 0'(1(3(z0))), 1'(3(z0)), 3'(z0))
   4'(c_3(c_3(c_2(c_2(c_1(c_3(c_4(c_4(c_2(c_4(c_2(c_3(c_0(c_0(c_2(c_2(c_3(c_2(c_4(z0)))))))))))))))))))) -> c108(3'(2(2(1(1(0(2(2(4(0(0(0(2(1(3(1(0(4(3(4(z0)))))))))))))))))))), 2'(2(1(1(0(2(2(4(0(0(0(2(1(3(1(0(4(3(4(z0))))))))))))))))))), 2'(1(1(0(2(2(4(0(0(0(2(1(3(1(0(4(3(4(z0)))))))))))))))))), 1'(1(0(2(2(4(0(0(0(2(1(3(1(0(4(3(4(z0))))))))))))))))), 1'(0(2(2(4(0(0(0(2(1(3(1(0(4(3(4(z0)))))))))))))))), 0'(2(2(4(0(0(0(2(1(3(1(0(4(3(4(z0))))))))))))))), 2'(2(4(0(0(0(2(1(3(1(0(4(3(4(z0)))))))))))))), 2'(4(0(0(0(2(1(3(1(0(4(3(4(z0))))))))))))), 4'(0(0(0(2(1(3(1(0(4(3(4(z0)))))))))))), 0'(0(0(2(1(3(1(0(4(3(4(z0))))))))))), 0'(0(2(1(3(1(0(4(3(4(z0)))))))))), 0'(2(1(3(1(0(4(3(4(z0))))))))), 2'(1(3(1(0(4(3(4(z0)))))))), 1'(3(1(0(4(3(4(z0))))))), 3'(1(0(4(3(4(z0)))))), 1'(0(4(3(4(z0))))), 0'(4(3(4(z0)))), 4'(3(4(z0))), 3'(4(z0)), 4'(z0))
   4'(c_1(c_0(c_2(c_0(c_3(c_2(c_1(c_1(c_3(c_1(c_1(c_0(c_1(c_1(c_2(c_0(c_0(c_4(c_4(z0)))))))))))))))))))) -> c109(2'(1(4(2(2(2(2(2(2(2(0(1(0(3(1(0(1(1(4(0(z0)))))))))))))))))))), 1'(4(2(2(2(2(2(2(2(0(1(0(3(1(0(1(1(4(0(z0))))))))))))))))))), 4'(2(2(2(2(2(2(2(0(1(0(3(1(0(1(1(4(0(z0)))))))))))))))))), 2'(2(2(2(2(2(2(0(1(0(3(1(0(1(1(4(0(z0))))))))))))))))), 2'(2(2(2(2(2(0(1(0(3(1(0(1(1(4(0(z0)))))))))))))))), 2'(2(2(2(2(0(1(0(3(1(0(1(1(4(0(z0))))))))))))))), 2'(2(2(2(0(1(0(3(1(0(1(1(4(0(z0)))))))))))))), 2'(2(2(0(1(0(3(1(0(1(1(4(0(z0))))))))))))), 2'(2(0(1(0(3(1(0(1(1(4(0(z0)))))))))))), 2'(0(1(0(3(1(0(1(1(4(0(z0))))))))))), 0'(1(0(3(1(0(1(1(4(0(z0)))))))))), 1'(0(3(1(0(1(1(4(0(z0))))))))), 0'(3(1(0(1(1(4(0(z0)))))))), 3'(1(0(1(1(4(0(z0))))))), 1'(0(1(1(4(0(z0)))))), 0'(1(1(4(0(z0))))), 1'(1(4(0(z0)))), 1'(4(0(z0))), 4'(0(z0)), 0'(z0))
   4'(c_1(c_1(c_1(c_2(c_2(c_3(c_3(c_3(c_4(c_4(c_0(c_2(c_0(c_2(c_1(c_0(c_1(c_0(c_0(z0)))))))))))))))))))) -> c110(1'(1(0(3(4(0(2(3(1(4(2(4(1(0(4(0(3(1(1(4(z0)))))))))))))))))))), 1'(0(3(4(0(2(3(1(4(2(4(1(0(4(0(3(1(1(4(z0))))))))))))))))))), 0'(3(4(0(2(3(1(4(2(4(1(0(4(0(3(1(1(4(z0)))))))))))))))))), 3'(4(0(2(3(1(4(2(4(1(0(4(0(3(1(1(4(z0))))))))))))))))), 4'(0(2(3(1(4(2(4(1(0(4(0(3(1(1(4(z0)))))))))))))))), 0'(2(3(1(4(2(4(1(0(4(0(3(1(1(4(z0))))))))))))))), 2'(3(1(4(2(4(1(0(4(0(3(1(1(4(z0)))))))))))))), 3'(1(4(2(4(1(0(4(0(3(1(1(4(z0))))))))))))), 1'(4(2(4(1(0(4(0(3(1(1(4(z0)))))))))))), 4'(2(4(1(0(4(0(3(1(1(4(z0))))))))))), 2'(4(1(0(4(0(3(1(1(4(z0)))))))))), 4'(1(0(4(0(3(1(1(4(z0))))))))), 1'(0(4(0(3(1(1(4(z0)))))))), 0'(4(0(3(1(1(4(z0))))))), 4'(0(3(1(1(4(z0)))))), 0'(3(1(1(4(z0))))), 3'(1(1(4(z0)))), 1'(1(4(z0))), 1'(4(z0)), 4'(z0))
   4'(c_4(c_1(c_1(c_2(c_0(c_1(c_0(c_2(c_2(c_1(c_0(c_0(c_1(c_0(c_0(c_1(c_1(c_3(c_2(z0)))))))))))))))))))) -> c111(3'(1(4(1(4(4(3(1(2(3(3(2(1(3(3(1(1(3(2(4(z0)))))))))))))))))))), 1'(4(1(4(4(3(1(2(3(3(2(1(3(3(1(1(3(2(4(z0))))))))))))))))))), 4'(1(4(4(3(1(2(3(3(2(1(3(3(1(1(3(2(4(z0)))))))))))))))))), 1'(4(4(3(1(2(3(3(2(1(3(3(1(1(3(2(4(z0))))))))))))))))), 4'(4(3(1(2(3(3(2(1(3(3(1(1(3(2(4(z0)))))))))))))))), 4'(3(1(2(3(3(2(1(3(3(1(1(3(2(4(z0))))))))))))))), 3'(1(2(3(3(2(1(3(3(1(1(3(2(4(z0)))))))))))))), 1'(2(3(3(2(1(3(3(1(1(3(2(4(z0))))))))))))), 2'(3(3(2(1(3(3(1(1(3(2(4(z0)))))))))))), 3'(3(2(1(3(3(1(1(3(2(4(z0))))))))))), 3'(2(1(3(3(1(1(3(2(4(z0)))))))))), 2'(1(3(3(1(1(3(2(4(z0))))))))), 1'(3(3(1(1(3(2(4(z0)))))))), 3'(3(1(1(3(2(4(z0))))))), 3'(1(1(3(2(4(z0)))))), 1'(1(3(2(4(z0))))), 1'(3(2(4(z0)))), 3'(2(4(z0))), 2'(4(z0)), 4'(z0))
   4'(c_4(c_3(c_4(c_4(c_2(c_4(c_1(c_1(c_0(c_2(c_3(c_1(c_0(c_3(c_1(c_2(c_2(c_4(c_0(z0)))))))))))))))))))) -> c112(1'(2(1(1(1(2(4(1(4(3(1(4(1(4(3(2(0(4(2(2(z0)))))))))))))))))))), 2'(1(1(1(2(4(1(4(3(1(4(1(4(3(2(0(4(2(2(z0))))))))))))))))))), 1'(1(1(2(4(1(4(3(1(4(1(4(3(2(0(4(2(2(z0)))))))))))))))))), 1'(1(2(4(1(4(3(1(4(1(4(3(2(0(4(2(2(z0))))))))))))))))), 1'(2(4(1(4(3(1(4(1(4(3(2(0(4(2(2(z0)))))))))))))))), 2'(4(1(4(3(1(4(1(4(3(2(0(4(2(2(z0))))))))))))))), 4'(1(4(3(1(4(1(4(3(2(0(4(2(2(z0)))))))))))))), 1'(4(3(1(4(1(4(3(2(0(4(2(2(z0))))))))))))), 4'(3(1(4(1(4(3(2(0(4(2(2(z0)))))))))))), 3'(1(4(1(4(3(2(0(4(2(2(z0))))))))))), 1'(4(1(4(3(2(0(4(2(2(z0)))))))))), 4'(1(4(3(2(0(4(2(2(z0))))))))), 1'(4(3(2(0(4(2(2(z0)))))))), 4'(3(2(0(4(2(2(z0))))))), 3'(2(0(4(2(2(z0)))))), 2'(0(4(2(2(z0))))), 0'(4(2(2(z0)))), 4'(2(2(z0))), 2'(2(z0)), 2'(z0))
   4'(c_0(c_4(c_3(c_0(c_0(c_2(c_1(c_2(c_2(c_0(c_3(c_0(c_3(c_1(c_1(c_1(c_3(c_3(c_3(z0)))))))))))))))))))) -> c113(4'(1(2(1(1(2(2(1(1(2(0(1(0(2(4(4(1(1(1(0(z0)))))))))))))))))))), 1'(2(1(1(2(2(1(1(2(0(1(0(2(4(4(1(1(1(0(z0))))))))))))))))))), 2'(1(1(2(2(1(1(2(0(1(0(2(4(4(1(1(1(0(z0)))))))))))))))))), 1'(1(2(2(1(1(2(0(1(0(2(4(4(1(1(1(0(z0))))))))))))))))), 1'(2(2(1(1(2(0(1(0(2(4(4(1(1(1(0(z0)))))))))))))))), 2'(2(1(1(2(0(1(0(2(4(4(1(1(1(0(z0))))))))))))))), 2'(1(1(2(0(1(0(2(4(4(1(1(1(0(z0)))))))))))))), 1'(1(2(0(1(0(2(4(4(1(1(1(0(z0))))))))))))), 1'(2(0(1(0(2(4(4(1(1(1(0(z0)))))))))))), 2'(0(1(0(2(4(4(1(1(1(0(z0))))))))))), 0'(1(0(2(4(4(1(1(1(0(z0)))))))))), 1'(0(2(4(4(1(1(1(0(z0))))))))), 0'(2(4(4(1(1(1(0(z0)))))))), 2'(4(4(1(1(1(0(z0))))))), 4'(4(1(1(1(0(z0)))))), 4'(1(1(1(0(z0))))), 1'(1(1(0(z0)))), 1'(1(0(z0))), 1'(0(z0)), 0'(z0))
K tuples:none
Defined Rule Symbols:   encArg_1, 0_1, 1_1, 2_1, 3_1, 4_1

Defined Pair Symbols:   ENCARG_1, 0'_1, 1'_1, 2'_1, 3'_1, 4'_1, ENCODE_0_1, ENCODE_1_1, ENCODE_2_1, ENCODE_3_1, ENCODE_4_1

Compound Symbols:   c4_2, c11_20, c12_20, c13_20, c14_20, c15_20, c16_20, c17_20, c18_20, c19_20, c20_20, c21_20, c22_20, c23_20, c24_20, c25_20, c26_20, c27_20, c28_20, c29_20, c30_20, c32_20, c33_20, c34_20, c35_20, c36_20, c37_20, c38_20, c39_20, c40_20, c41_20, c42_20, c44_20, c45_20, c46_20, c47_20, c48_20, c49_20, c50_20, c51_20, c52_20, c53_20, c54_20, c55_20, c56_20, c57_20, c58_20, c59_20, c60_20, c61_20, c62_20, c63_20, c65_20, c66_20, c67_20, c68_20, c69_20, c70_20, c71_20, c72_20, c73_20, c74_20, c75_20, c76_20, c77_20, c78_20, c79_20, c80_20, c81_20, c82_20, c83_20, c84_20, c85_20, c86_20, c87_20, c88_20, c90_20, c91_20, c92_20, c93_20, c94_20, c95_20, c96_20, c97_20, c98_20, c99_20, c100_20, c101_20, c102_20, c103_20, c104_20, c105_20, c106_20, c107_20, c108_20, c109_20, c110_20, c111_20, c112_20, c113_20, c10_1, c_2, c1_2, c2_2, c3_2