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


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


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# AProVE Commit ID: 794c25de1cacf0d048858bcd21c9a779e1221865 marcel 20200619 unpublished dirty


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

(0) DCpxTrs
(1) DerivationalComplexityToRuntimeComplexityProof [BOTH BOUNDS(ID, ID), 0 ms]
(2) CpxRelTRS
(3) SInnermostTerminationProof [BOTH CONCRETE BOUNDS(ID, ID), 61 ms]
(4) CpxRelTRS
(5) RelTrsToDecreasingLoopProblemProof [LOWER BOUND(ID), 0 ms]
(6) TRS for Loop Detection
(7) RenamingProof [BOTH BOUNDS(ID, ID), 0 ms]
(8) CpxRelTRS
    (9) TypeInferenceProof [BOTH BOUNDS(ID, ID), 18 ms]
    (10) typed CpxTrs
    (11) OrderProof [LOWER BOUND(ID), 0 ms]
    (12) typed CpxTrs
(13) RelTrsToTrsProof [UPPER BOUND(ID), 0 ms]
(14) CpxTRS
(15) NonCtorToCtorProof [UPPER BOUND(ID), 0 ms]
(16) CpxRelTRS
    (17) RcToIrcProof [BOTH BOUNDS(ID, ID), 2514 ms]
    (18) CpxRelTRS
    (19) RelTrsToWeightedTrsProof [BOTH BOUNDS(ID, ID), 3 ms]
    (20) CpxWeightedTrs
        (21) CpxWeightedTrsRenamingProof [BOTH BOUNDS(ID, ID), 38 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), 2942 ms]
            (28) CpxTypedWeightedCompleteTrs
            (29) CpxTypedWeightedTrsToRntsProof [UPPER BOUND(ID), 65 ms]
            (30) CpxRNTS
            (31) SimplificationProof [BOTH BOUNDS(ID, ID), 91 ms]
            (32) CpxRNTS
        (33) CompletionProof [UPPER BOUND(ID), 0 ms]
        (34) CpxTypedWeightedCompleteTrs
            (35) CpxTypedWeightedTrsToRntsProof [UPPER BOUND(ID), 40 ms]
            (36) CpxRNTS
    (37) CpxTrsToCdtProof [UPPER BOUND(ID), 1650 ms]
    (38) CdtProblem
        (39) CdtLeafRemovalProof [BOTH BOUNDS(ID, ID), 4 ms]
        (40) CdtProblem
        (41) CdtGraphSplitRhsProof [BOTH BOUNDS(ID, ID), 12 ms]
        (42) CdtProblem
        (43) CdtLeafRemovalProof [ComplexityIfPolyImplication, 0 ms]
        (44) CdtProblem
        (45) CdtUsableRulesProof [BOTH BOUNDS(ID, ID), 14.9 s]
        (46) CdtProblem
        (47) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 4360 ms]
        (48) CdtProblem
        (49) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 4496 ms]
        (50) CdtProblem
        (51) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 4448 ms]
        (52) CdtProblem
        (53) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 4413 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(2(2(3(3(2(0(0(0(4(2(0(1(2(4(2(x1)))))))))))))))))))) -> 1(1(1(3(0(3(0(2(3(2(2(4(1(2(3(4(1(2(2(4(x1))))))))))))))))))))
   0(0(0(2(1(1(2(2(1(3(0(0(4(3(4(3(4(1(2(1(x1)))))))))))))))))))) -> 0(0(0(1(2(2(2(0(4(1(4(1(2(4(3(3(1(0(3(3(x1))))))))))))))))))))
   0(0(2(1(0(3(1(3(1(3(3(3(2(4(0(0(1(2(0(4(x1)))))))))))))))))))) -> 4(4(1(4(4(3(2(1(1(0(2(2(1(2(1(0(3(4(2(2(x1))))))))))))))))))))
   0(0(2(3(1(4(2(1(4(2(0(1(4(2(2(1(1(2(4(4(x1)))))))))))))))))))) -> 1(1(2(3(3(4(4(4(2(3(2(2(1(2(0(1(2(0(4(4(x1))))))))))))))))))))
   0(1(2(0(1(4(4(0(3(0(2(3(0(0(3(3(0(2(3(2(x1)))))))))))))))))))) -> 1(3(3(2(4(2(1(2(1(2(0(2(0(3(2(2(4(0(3(3(x1))))))))))))))))))))
   0(1(4(2(2(0(3(2(0(4(1(3(2(0(0(3(2(3(0(2(x1)))))))))))))))))))) -> 2(4(2(1(2(2(3(0(2(0(1(2(2(0(1(2(0(0(4(2(x1))))))))))))))))))))
   0(1(4(3(2(3(0(1(2(4(0(3(4(2(0(0(3(2(4(2(x1)))))))))))))))))))) -> 2(1(3(0(0(1(4(3(1(3(2(2(2(1(3(0(2(0(0(2(x1))))))))))))))))))))
   0(2(1(1(2(1(4(1(2(2(4(0(0(3(3(3(2(2(1(0(x1)))))))))))))))))))) -> 4(3(3(0(2(3(4(2(4(1(2(1(4(3(4(3(3(2(2(3(x1))))))))))))))))))))
   0(2(1(3(0(0(4(4(4(0(0(3(2(1(2(4(0(1(2(2(x1)))))))))))))))))))) -> 0(4(0(0(2(3(0(4(1(2(3(0(3(0(1(4(2(2(3(3(x1))))))))))))))))))))
   0(2(2(1(2(0(3(1(2(2(4(1(2(0(2(4(0(1(0(3(x1)))))))))))))))))))) -> 2(4(3(0(3(0(2(3(0(4(2(2(2(3(3(2(4(3(1(1(x1))))))))))))))))))))
   0(2(3(0(4(2(3(1(3(4(0(3(4(2(1(3(2(3(4(0(x1)))))))))))))))))))) -> 4(1(2(0(3(0(1(2(3(0(2(1(3(2(0(3(0(2(4(0(x1))))))))))))))))))))
   0(2(4(2(1(2(3(0(1(2(0(3(0(4(1(0(2(0(2(0(x1)))))))))))))))))))) -> 3(2(3(1(0(1(2(0(2(2(3(2(0(4(4(2(0(4(4(2(x1))))))))))))))))))))
   0(3(2(0(4(2(0(1(1(3(2(3(4(4(1(2(4(2(4(2(x1)))))))))))))))))))) -> 2(2(4(3(4(2(3(4(1(2(1(0(0(2(0(4(1(4(2(2(x1))))))))))))))))))))
   0(3(3(2(4(1(0(0(1(2(0(4(3(3(4(4(4(3(1(2(x1)))))))))))))))))))) -> 4(1(2(2(2(2(4(4(2(0(3(2(1(0(4(4(1(4(2(0(x1))))))))))))))))))))
   0(4(2(0(0(3(2(1(0(1(3(1(2(4(4(0(2(3(2(2(x1)))))))))))))))))))) -> 2(1(2(2(3(3(2(0(4(4(3(3(1(0(0(3(4(2(2(4(x1))))))))))))))))))))
   0(4(2(2(0(2(3(3(4(1(3(2(4(0(2(1(1(4(3(2(x1)))))))))))))))))))) -> 2(4(3(3(0(3(1(2(3(3(4(2(0(0(4(2(0(1(2(2(x1))))))))))))))))))))
   0(4(4(2(3(2(1(2(2(1(4(1(1(1(4(2(2(1(2(0(x1)))))))))))))))))))) -> 3(0(0(1(4(1(2(3(3(4(2(1(1(3(2(2(1(3(2(4(x1))))))))))))))))))))
   1(0(0(1(2(3(4(2(0(4(4(2(2(4(1(2(2(2(4(4(x1)))))))))))))))))))) -> 2(4(3(0(2(0(3(1(2(1(1(2(2(3(0(2(4(3(1(3(x1))))))))))))))))))))
   1(0(0(3(1(4(2(1(2(2(2(2(2(3(0(1(4(2(0(4(x1)))))))))))))))))))) -> 2(4(4(0(3(3(0(3(3(3(2(4(2(2(0(0(0(0(3(3(x1))))))))))))))))))))
   1(0(0(4(0(0(2(3(2(2(3(3(1(3(4(3(2(2(1(1(x1)))))))))))))))))))) -> 1(2(2(2(0(0(2(2(3(0(4(4(2(1(4(2(2(2(4(1(x1))))))))))))))))))))
   1(0(2(1(1(1(2(0(0(2(1(3(3(3(1(4(1(0(0(1(x1)))))))))))))))))))) -> 2(2(1(0(1(4(3(2(3(0(0(0(4(3(2(1(1(2(0(2(x1))))))))))))))))))))
   1(0(4(0(1(3(0(2(3(2(1(2(3(2(4(2(4(3(4(2(x1)))))))))))))))))))) -> 2(3(0(2(0(2(2(2(3(4(1(0(2(3(1(2(1(2(4(2(x1))))))))))))))))))))
   1(1(0(0(1(3(2(4(3(1(4(0(4(1(2(2(2(3(3(2(x1)))))))))))))))))))) -> 3(1(4(3(1(0(3(4(0(3(2(2(4(0(2(3(3(2(2(0(x1))))))))))))))))))))
   1(1(1(1(2(4(4(3(0(2(3(3(1(3(0(1(4(2(2(3(x1)))))))))))))))))))) -> 3(4(2(1(1(0(1(2(1(4(4(2(3(3(4(2(1(2(3(2(x1))))))))))))))))))))
   1(1(2(0(4(1(3(1(2(2(0(4(0(2(3(4(4(0(2(3(x1)))))))))))))))))))) -> 1(0(2(2(4(0(3(1(0(0(3(0(2(1(1(2(2(3(1(0(x1))))))))))))))))))))
   1(1(2(1(3(4(0(2(2(3(3(3(3(0(1(0(4(3(0(2(x1)))))))))))))))))))) -> 3(2(1(4(2(2(3(4(2(3(1(4(2(3(0(3(3(4(0(3(x1))))))))))))))))))))
   1(1(3(3(1(1(3(2(3(2(0(4(2(0(2(1(1(0(4(1(x1)))))))))))))))))))) -> 2(3(4(2(0(0(0(0(3(1(2(2(4(1(2(3(1(0(4(4(x1))))))))))))))))))))
   1(3(1(4(0(1(4(3(0(4(2(1(0(0(1(2(3(2(2(3(x1)))))))))))))))))))) -> 0(4(0(3(0(3(0(3(2(0(1(0(0(2(1(3(2(1(2(0(x1))))))))))))))))))))
   1(3(2(3(1(0(3(3(0(1(2(0(2(2(2(0(1(3(1(0(x1)))))))))))))))))))) -> 3(3(4(3(1(2(2(4(4(0(2(2(2(2(0(0(2(0(1(4(x1))))))))))))))))))))
   1(3(3(4(4(2(3(1(3(3(0(3(4(2(2(4(2(2(4(4(x1)))))))))))))))))))) -> 0(4(2(4(3(3(2(1(4(2(4(4(3(2(2(3(1(2(2(0(x1))))))))))))))))))))
   1(4(4(2(3(1(2(3(3(1(0(1(3(2(1(2(1(2(2(2(x1)))))))))))))))))))) -> 2(0(2(0(2(0(2(0(4(2(4(2(3(2(3(1(2(2(2(1(x1))))))))))))))))))))
   2(0(0(0(2(2(3(1(3(1(0(4(3(3(0(2(4(1(0(3(x1)))))))))))))))))))) -> 4(0(3(4(3(4(0(0(2(2(2(1(2(2(2(1(1(2(0(4(x1))))))))))))))))))))
   2(0(0(0(3(1(0(2(4(2(2(2(4(0(4(0(1(0(3(4(x1)))))))))))))))))))) -> 1(4(2(4(4(4(4(3(2(4(4(3(2(2(0(0(4(1(2(2(x1))))))))))))))))))))
   2(0(2(1(1(0(1(0(2(2(0(1(2(0(2(4(0(1(2(0(x1)))))))))))))))))))) -> 3(0(2(4(1(2(0(4(2(1(3(0(2(3(4(2(3(3(4(0(x1))))))))))))))))))))
   2(0(2(4(2(2(2(4(3(0(0(1(0(1(0(3(0(3(2(4(x1)))))))))))))))))))) -> 0(3(0(2(2(0(2(1(3(2(3(3(0(2(0(4(3(3(3(2(x1))))))))))))))))))))
   2(0(3(2(0(3(2(4(1(2(3(1(4(1(3(3(3(0(1(3(x1)))))))))))))))))))) -> 3(0(3(2(1(1(1(3(4(0(3(2(0(2(2(3(2(0(3(2(x1))))))))))))))))))))
   2(0(3(4(1(2(0(2(3(3(1(2(0(1(2(0(4(4(4(2(x1)))))))))))))))))))) -> 2(2(2(4(3(2(0(1(4(1(2(3(0(3(1(3(3(1(2(4(x1))))))))))))))))))))
   2(0(4(2(1(3(4(4(2(1(0(3(2(1(3(2(1(4(2(4(x1)))))))))))))))))))) -> 0(2(4(2(2(2(0(2(4(3(3(2(3(3(4(1(0(3(0(4(x1))))))))))))))))))))
   2(0(4(2(2(3(4(0(1(0(3(2(1(3(0(3(1(1(3(0(x1)))))))))))))))))))) -> 0(3(0(1(2(2(2(0(0(3(3(2(1(1(0(4(2(1(2(4(x1))))))))))))))))))))
   2(1(3(2(2(0(4(4(0(4(1(2(3(3(0(2(1(4(4(4(x1)))))))))))))))))))) -> 4(3(2(3(2(2(2(1(4(1(2(2(0(1(1(1(0(0(3(4(x1))))))))))))))))))))
   2(1(3(4(1(0(3(2(0(3(0(1(1(4(0(0(2(4(4(1(x1)))))))))))))))))))) -> 3(0(3(2(1(4(1(4(0(0(2(2(0(1(1(0(4(1(2(1(x1))))))))))))))))))))
   2(1(4(1(3(4(3(2(2(0(1(0(2(1(0(3(4(2(4(2(x1)))))))))))))))))))) -> 4(2(2(2(3(3(4(1(4(0(2(3(2(1(0(3(2(3(3(4(x1))))))))))))))))))))
   2(1(4(4(0(1(2(0(2(3(0(2(1(2(3(0(2(3(1(3(x1)))))))))))))))))))) -> 0(3(2(3(2(3(0(2(2(0(2(3(1(3(3(3(1(2(4(2(x1))))))))))))))))))))
   2(3(0(1(3(3(4(2(1(4(4(2(3(1(1(1(2(3(0(2(x1)))))))))))))))))))) -> 2(2(3(0(4(4(0(0(1(3(3(0(4(3(4(2(2(4(3(2(x1))))))))))))))))))))
   2(3(1(1(3(2(1(1(1(3(2(3(4(2(2(3(4(3(3(0(x1)))))))))))))))))))) -> 0(4(4(2(4(0(2(3(2(0(2(1(2(4(4(3(2(3(2(2(x1))))))))))))))))))))
   2(3(1(2(3(3(3(1(1(1(0(1(2(4(0(4(2(1(2(2(x1)))))))))))))))))))) -> 2(2(0(1(4(3(2(2(4(3(0(2(4(3(2(0(0(1(0(2(x1))))))))))))))))))))
   2(3(3(3(0(0(1(0(2(4(3(1(1(3(2(1(2(2(2(1(x1)))))))))))))))))))) -> 3(4(2(2(0(0(0(0(2(4(2(3(2(0(3(2(3(0(2(3(x1))))))))))))))))))))
   2(3(4(0(0(4(3(3(2(3(4(0(2(0(4(4(0(2(4(2(x1)))))))))))))))))))) -> 1(3(1(3(3(2(0(2(2(3(0(1(2(2(2(4(1(2(1(1(x1))))))))))))))))))))
   2(3(4(4(4(3(0(0(2(3(4(3(0(4(3(0(1(2(4(2(x1)))))))))))))))))))) -> 3(3(2(0(4(0(2(4(2(3(2(2(4(4(0(4(0(3(4(1(x1))))))))))))))))))))
   2(4(0(0(3(2(2(2(1(1(4(0(1(2(2(3(4(2(3(4(x1)))))))))))))))))))) -> 3(1(3(2(2(4(0(3(2(1(0(0(2(3(3(3(2(3(4(3(x1))))))))))))))))))))
   2(4(0(0(4(2(1(3(3(3(2(0(4(1(4(0(2(1(3(2(x1)))))))))))))))))))) -> 0(4(2(4(0(3(2(1(2(4(2(2(3(1(0(1(2(3(3(2(x1))))))))))))))))))))
   2(4(0(3(1(2(1(1(2(0(2(2(0(3(2(1(1(0(1(3(x1)))))))))))))))))))) -> 2(3(3(1(3(1(2(1(1(0(2(0(0(2(3(3(0(3(3(3(x1))))))))))))))))))))
   2(4(1(3(2(2(1(4(2(1(1(1(2(2(2(0(3(0(2(4(x1)))))))))))))))))))) -> 3(3(1(4(3(2(3(2(2(3(2(1(1(0(3(3(3(4(0(2(x1))))))))))))))))))))
   2(4(2(2(1(1(2(3(0(1(0(0(3(2(1(0(0(1(0(2(x1)))))))))))))))))))) -> 2(2(2(3(3(4(1(4(3(0(0(2(0(1(1(2(3(0(2(4(x1))))))))))))))))))))
   2(4(2(2(1(2(4(2(3(0(1(0(2(1(2(0(0(0(4(0(x1)))))))))))))))))))) -> 2(3(0(2(0(3(0(2(1(0(4(2(2(1(3(1(3(0(4(3(x1))))))))))))))))))))
   2(4(3(2(0(2(4(1(2(0(4(1(2(3(1(2(3(4(1(1(x1)))))))))))))))))))) -> 2(0(1(1(2(2(4(3(2(2(1(3(0(1(2(3(0(4(4(4(x1))))))))))))))))))))
   2(4(3(2(2(4(0(3(2(4(3(1(0(4(4(3(3(2(2(1(x1)))))))))))))))))))) -> 3(4(3(0(2(2(2(4(3(2(0(3(0(3(2(0(3(0(4(2(x1))))))))))))))))))))
   2(4(4(4(2(2(2(0(4(3(4(3(4(2(3(1(4(3(1(3(x1)))))))))))))))))))) -> 2(3(4(2(1(1(1(3(2(3(0(2(4(1(2(0(2(1(1(4(x1))))))))))))))))))))
   3(0(0(1(0(2(3(3(2(0(2(1(1(0(4(3(2(0(4(2(x1)))))))))))))))))))) -> 1(0(0(2(1(4(4(0(2(3(0(2(4(4(2(3(2(4(0(2(x1))))))))))))))))))))
   3(0(1(0(2(2(3(1(2(1(1(1(0(0(2(2(1(3(1(3(x1)))))))))))))))))))) -> 3(1(4(1(2(1(0(3(2(0(0(1(0(2(4(0(2(2(3(2(x1))))))))))))))))))))
   3(0(1(3(2(0(1(3(4(2(3(1(2(2(1(2(3(1(3(1(x1)))))))))))))))))))) -> 2(3(2(3(0(2(1(2(2(4(3(3(3(2(1(0(1(3(2(2(x1))))))))))))))))))))
   3(0(1(4(2(2(3(4(4(3(0(2(1(4(1(0(1(0(2(3(x1)))))))))))))))))))) -> 4(2(0(4(1(1(2(0(2(4(0(3(4(4(3(2(0(3(3(2(x1))))))))))))))))))))
   3(0(1(4(3(1(2(0(3(2(3(2(2(0(2(2(3(1(2(2(x1)))))))))))))))))))) -> 0(2(2(3(0(2(0(3(1(3(1(2(2(2(3(2(2(0(4(2(x1))))))))))))))))))))
   3(0(2(4(0(4(0(1(2(1(4(3(0(4(3(0(3(3(3(2(x1)))))))))))))))))))) -> 1(0(4(3(1(4(2(3(3(4(3(0(0(2(2(3(4(0(4(2(x1))))))))))))))))))))
   3(0(3(2(0(0(2(2(3(0(0(4(3(4(2(4(2(3(3(3(x1)))))))))))))))))))) -> 3(0(0(1(3(2(2(2(3(3(2(0(1(2(3(3(4(2(2(4(x1))))))))))))))))))))
   3(1(0(3(2(2(1(1(4(4(0(2(2(4(3(2(2(3(4(2(x1)))))))))))))))))))) -> 2(0(4(3(3(2(2(2(4(0(4(3(2(2(2(0(3(0(4(2(x1))))))))))))))))))))
   3(1(1(0(0(2(2(4(2(2(2(2(1(2(2(1(1(1(1(4(x1)))))))))))))))))))) -> 4(2(1(4(1(3(2(2(4(4(2(3(3(3(3(2(4(3(2(3(x1))))))))))))))))))))
   3(1(1(1(2(0(1(3(3(2(1(3(4(1(2(2(3(3(2(3(x1)))))))))))))))))))) -> 2(3(2(2(4(3(4(2(3(1(2(2(4(2(3(0(4(3(0(3(x1))))))))))))))))))))
   3(1(4(3(4(2(1(1(1(4(3(1(3(2(2(4(2(2(1(1(x1)))))))))))))))))))) -> 2(1(2(4(2(4(1(4(2(1(4(0(0(1(2(3(3(2(1(3(x1))))))))))))))))))))
   3(2(0(3(2(4(4(2(2(2(0(1(2(2(3(4(0(2(4(1(x1)))))))))))))))))))) -> 0(0(2(3(0(2(1(2(2(2(3(2(1(3(4(3(4(2(2(2(x1))))))))))))))))))))
   3(2(0(3(4(4(4(1(0(2(2(1(4(0(0(4(3(2(3(1(x1)))))))))))))))))))) -> 0(4(0(3(4(2(0(3(1(3(3(1(1(0(3(2(2(3(0(3(x1))))))))))))))))))))
   3(2(2(3(4(3(2(2(0(4(1(4(3(4(2(1(4(1(0(2(x1)))))))))))))))))))) -> 2(1(3(3(3(2(2(4(0(4(0(4(2(0(2(1(3(3(3(3(x1))))))))))))))))))))
   3(2(3(2(2(0(0(4(1(0(0(4(0(3(3(2(2(1(0(3(x1)))))))))))))))))))) -> 1(3(1(2(0(4(0(3(2(4(3(0(2(1(2(2(1(2(2(3(x1))))))))))))))))))))
   3(3(0(4(4(1(0(2(3(2(1(2(2(3(3(1(0(2(4(1(x1)))))))))))))))))))) -> 4(2(1(2(3(3(3(3(0(2(0(3(0(2(3(1(2(1(1(0(x1))))))))))))))))))))
   3(3(1(0(2(4(2(3(1(0(2(4(4(4(0(0(2(1(1(2(x1)))))))))))))))))))) -> 2(4(2(3(2(3(4(0(4(2(4(3(1(0(1(2(0(3(2(0(x1))))))))))))))))))))
   3(3(2(4(3(0(2(1(4(3(3(4(4(1(1(4(3(3(2(2(x1)))))))))))))))))))) -> 4(1(2(3(2(0(3(3(0(3(2(3(1(1(2(0(1(0(2(2(x1))))))))))))))))))))
   3(3(3(0(2(0(2(2(1(0(0(4(4(2(0(2(3(0(2(4(x1)))))))))))))))))))) -> 2(3(3(2(4(3(4(2(3(3(1(0(1(2(4(3(0(3(3(2(x1))))))))))))))))))))
   3(4(2(1(4(1(0(2(4(3(3(4(3(3(1(2(2(3(3(3(x1)))))))))))))))))))) -> 4(2(0(1(2(0(2(0(0(2(1(4(0(3(2(2(3(2(2(4(x1))))))))))))))))))))
   3(4(4(4(3(1(4(3(0(2(2(0(4(4(1(3(3(3(2(2(x1)))))))))))))))))))) -> 4(2(2(3(0(0(3(1(1(1(4(4(3(0(3(2(1(0(2(2(x1))))))))))))))))))))
   4(0(0(0(0(4(2(1(1(1(1(3(2(4(0(0(3(2(4(1(x1)))))))))))))))))))) -> 2(1(2(2(0(2(4(3(1(0(4(1(4(0(3(4(1(3(4(4(x1))))))))))))))))))))
   4(0(2(2(4(3(1(3(4(0(0(0(2(2(2(3(0(4(2(4(x1)))))))))))))))))))) -> 2(1(3(3(4(4(1(0(3(2(2(3(0(0(4(3(3(4(2(2(x1))))))))))))))))))))
   4(0(2(3(1(1(2(3(1(1(2(0(4(3(0(2(3(2(3(3(x1)))))))))))))))))))) -> 2(2(4(2(2(3(0(2(4(2(3(1(3(2(2(3(4(1(0(2(x1))))))))))))))))))))
   4(0(3(2(0(3(3(2(3(1(4(3(2(2(3(1(3(1(0(4(x1)))))))))))))))))))) -> 0(0(0(2(1(3(3(4(2(4(3(3(2(4(2(3(3(0(0(3(x1))))))))))))))))))))
   4(0(4(2(2(3(3(2(2(1(2(1(0(1(0(3(2(1(2(0(x1)))))))))))))))))))) -> 1(1(2(2(0(0(4(4(2(3(3(3(2(2(2(0(3(0(0(2(x1))))))))))))))))))))
   4(1(1(1(4(2(4(2(0(2(3(3(1(3(0(2(2(0(0(3(x1)))))))))))))))))))) -> 0(4(2(1(2(2(2(0(4(2(3(3(0(2(1(4(0(1(4(2(x1))))))))))))))))))))
   4(1(2(3(2(0(0(1(0(2(3(1(3(2(3(1(0(1(4(2(x1)))))))))))))))))))) -> 1(1(1(0(2(3(0(3(3(2(4(3(3(2(0(2(1(2(3(3(x1))))))))))))))))))))
   4(1(4(3(1(0(4(4(1(3(3(2(2(1(2(2(3(2(0(0(x1)))))))))))))))))))) -> 2(2(4(4(3(3(2(1(4(4(3(2(3(4(1(2(1(1(3(0(x1))))))))))))))))))))
   4(2(3(0(2(2(4(0(0(3(1(2(0(4(2(0(2(3(3(0(x1)))))))))))))))))))) -> 2(2(2(2(4(0(3(0(4(1(2(2(1(3(3(2(0(3(1(0(x1))))))))))))))))))))
   4(2(3(2(2(0(0(4(0(2(0(1(3(0(2(1(0(1(2(4(x1)))))))))))))))))))) -> 1(0(2(0(4(3(4(3(0(3(2(2(4(0(2(1(2(2(4(2(x1))))))))))))))))))))
   4(2(4(0(2(3(1(0(2(1(2(2(4(1(4(3(1(0(3(2(x1)))))))))))))))))))) -> 1(3(0(2(3(2(0(0(0(3(3(2(4(4(3(3(2(4(3(0(x1))))))))))))))))))))
   4(3(0(3(2(0(2(2(3(1(0(2(0(0(2(3(1(3(4(4(x1)))))))))))))))))))) -> 1(4(0(3(3(2(2(2(0(2(3(1(2(3(3(0(3(1(0(1(x1))))))))))))))))))))
   4(3(0(3(4(3(3(0(1(3(2(3(3(4(3(0(0(3(4(2(x1)))))))))))))))))))) -> 1(1(0(4(0(0(0(2(4(0(2(2(3(2(3(3(0(4(3(2(x1))))))))))))))))))))
   4(3(2(0(0(3(4(2(0(3(0(1(0(1(1(4(0(2(2(4(x1)))))))))))))))))))) -> 4(1(2(2(4(4(2(1(4(3(2(0(0(0(2(4(1(2(0(3(x1))))))))))))))))))))
   4(3(3(3(0(2(1(2(2(3(2(0(1(1(4(1(3(4(2(4(x1)))))))))))))))))))) -> 3(4(1(3(3(2(1(2(1(1(0(2(2(0(0(1(1(2(3(2(x1))))))))))))))))))))
   4(4(0(3(0(1(3(2(2(2(3(1(0(2(3(3(0(2(4(4(x1)))))))))))))))))))) -> 2(1(3(2(2(2(4(0(3(2(2(2(2(2(0(3(0(2(0(3(x1))))))))))))))))))))
   4(4(0(3(0(4(2(4(2(3(0(2(2(0(4(3(3(4(2(2(x1)))))))))))))))))))) -> 2(3(3(1(0(2(2(3(1(4(0(0(1(2(2(0(4(4(2(2(x1))))))))))))))))))))
   4(4(2(2(0(0(3(0(3(1(2(3(3(1(2(2(2(4(4(4(x1)))))))))))))))))))) -> 4(2(3(0(2(2(0(2(2(4(3(1(1(4(4(2(4(2(3(3(x1))))))))))))))))))))
   4(4(4(1(3(3(4(4(2(2(0(1(0(2(4(3(2(2(0(2(x1)))))))))))))))))))) -> 4(3(2(3(2(2(0(0(1(3(4(2(2(2(4(4(1(2(0(2(x1))))))))))))))))))))
   4(4(4(4(3(2(0(3(2(4(2(4(1(2(1(4(2(3(0(0(x1)))))))))))))))))))) -> 3(4(2(3(3(2(2(1(3(4(2(3(1(4(4(3(1(1(3(3(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(2(2(3(3(2(0(0(0(4(2(0(1(2(4(2(x1)))))))))))))))))))) -> 1(1(1(3(0(3(0(2(3(2(2(4(1(2(3(4(1(2(2(4(x1))))))))))))))))))))
   0(0(0(2(1(1(2(2(1(3(0(0(4(3(4(3(4(1(2(1(x1)))))))))))))))))))) -> 0(0(0(1(2(2(2(0(4(1(4(1(2(4(3(3(1(0(3(3(x1))))))))))))))))))))
   0(0(2(1(0(3(1(3(1(3(3(3(2(4(0(0(1(2(0(4(x1)))))))))))))))))))) -> 4(4(1(4(4(3(2(1(1(0(2(2(1(2(1(0(3(4(2(2(x1))))))))))))))))))))
   0(0(2(3(1(4(2(1(4(2(0(1(4(2(2(1(1(2(4(4(x1)))))))))))))))))))) -> 1(1(2(3(3(4(4(4(2(3(2(2(1(2(0(1(2(0(4(4(x1))))))))))))))))))))
   0(1(2(0(1(4(4(0(3(0(2(3(0(0(3(3(0(2(3(2(x1)))))))))))))))))))) -> 1(3(3(2(4(2(1(2(1(2(0(2(0(3(2(2(4(0(3(3(x1))))))))))))))))))))
   0(1(4(2(2(0(3(2(0(4(1(3(2(0(0(3(2(3(0(2(x1)))))))))))))))))))) -> 2(4(2(1(2(2(3(0(2(0(1(2(2(0(1(2(0(0(4(2(x1))))))))))))))))))))
   0(1(4(3(2(3(0(1(2(4(0(3(4(2(0(0(3(2(4(2(x1)))))))))))))))))))) -> 2(1(3(0(0(1(4(3(1(3(2(2(2(1(3(0(2(0(0(2(x1))))))))))))))))))))
   0(2(1(1(2(1(4(1(2(2(4(0(0(3(3(3(2(2(1(0(x1)))))))))))))))))))) -> 4(3(3(0(2(3(4(2(4(1(2(1(4(3(4(3(3(2(2(3(x1))))))))))))))))))))
   0(2(1(3(0(0(4(4(4(0(0(3(2(1(2(4(0(1(2(2(x1)))))))))))))))))))) -> 0(4(0(0(2(3(0(4(1(2(3(0(3(0(1(4(2(2(3(3(x1))))))))))))))))))))
   0(2(2(1(2(0(3(1(2(2(4(1(2(0(2(4(0(1(0(3(x1)))))))))))))))))))) -> 2(4(3(0(3(0(2(3(0(4(2(2(2(3(3(2(4(3(1(1(x1))))))))))))))))))))
   0(2(3(0(4(2(3(1(3(4(0(3(4(2(1(3(2(3(4(0(x1)))))))))))))))))))) -> 4(1(2(0(3(0(1(2(3(0(2(1(3(2(0(3(0(2(4(0(x1))))))))))))))))))))
   0(2(4(2(1(2(3(0(1(2(0(3(0(4(1(0(2(0(2(0(x1)))))))))))))))))))) -> 3(2(3(1(0(1(2(0(2(2(3(2(0(4(4(2(0(4(4(2(x1))))))))))))))))))))
   0(3(2(0(4(2(0(1(1(3(2(3(4(4(1(2(4(2(4(2(x1)))))))))))))))))))) -> 2(2(4(3(4(2(3(4(1(2(1(0(0(2(0(4(1(4(2(2(x1))))))))))))))))))))
   0(3(3(2(4(1(0(0(1(2(0(4(3(3(4(4(4(3(1(2(x1)))))))))))))))))))) -> 4(1(2(2(2(2(4(4(2(0(3(2(1(0(4(4(1(4(2(0(x1))))))))))))))))))))
   0(4(2(0(0(3(2(1(0(1(3(1(2(4(4(0(2(3(2(2(x1)))))))))))))))))))) -> 2(1(2(2(3(3(2(0(4(4(3(3(1(0(0(3(4(2(2(4(x1))))))))))))))))))))
   0(4(2(2(0(2(3(3(4(1(3(2(4(0(2(1(1(4(3(2(x1)))))))))))))))))))) -> 2(4(3(3(0(3(1(2(3(3(4(2(0(0(4(2(0(1(2(2(x1))))))))))))))))))))
   0(4(4(2(3(2(1(2(2(1(4(1(1(1(4(2(2(1(2(0(x1)))))))))))))))))))) -> 3(0(0(1(4(1(2(3(3(4(2(1(1(3(2(2(1(3(2(4(x1))))))))))))))))))))
   1(0(0(1(2(3(4(2(0(4(4(2(2(4(1(2(2(2(4(4(x1)))))))))))))))))))) -> 2(4(3(0(2(0(3(1(2(1(1(2(2(3(0(2(4(3(1(3(x1))))))))))))))))))))
   1(0(0(3(1(4(2(1(2(2(2(2(2(3(0(1(4(2(0(4(x1)))))))))))))))))))) -> 2(4(4(0(3(3(0(3(3(3(2(4(2(2(0(0(0(0(3(3(x1))))))))))))))))))))
   1(0(0(4(0(0(2(3(2(2(3(3(1(3(4(3(2(2(1(1(x1)))))))))))))))))))) -> 1(2(2(2(0(0(2(2(3(0(4(4(2(1(4(2(2(2(4(1(x1))))))))))))))))))))
   1(0(2(1(1(1(2(0(0(2(1(3(3(3(1(4(1(0(0(1(x1)))))))))))))))))))) -> 2(2(1(0(1(4(3(2(3(0(0(0(4(3(2(1(1(2(0(2(x1))))))))))))))))))))
   1(0(4(0(1(3(0(2(3(2(1(2(3(2(4(2(4(3(4(2(x1)))))))))))))))))))) -> 2(3(0(2(0(2(2(2(3(4(1(0(2(3(1(2(1(2(4(2(x1))))))))))))))))))))
   1(1(0(0(1(3(2(4(3(1(4(0(4(1(2(2(2(3(3(2(x1)))))))))))))))))))) -> 3(1(4(3(1(0(3(4(0(3(2(2(4(0(2(3(3(2(2(0(x1))))))))))))))))))))
   1(1(1(1(2(4(4(3(0(2(3(3(1(3(0(1(4(2(2(3(x1)))))))))))))))))))) -> 3(4(2(1(1(0(1(2(1(4(4(2(3(3(4(2(1(2(3(2(x1))))))))))))))))))))
   1(1(2(0(4(1(3(1(2(2(0(4(0(2(3(4(4(0(2(3(x1)))))))))))))))))))) -> 1(0(2(2(4(0(3(1(0(0(3(0(2(1(1(2(2(3(1(0(x1))))))))))))))))))))
   1(1(2(1(3(4(0(2(2(3(3(3(3(0(1(0(4(3(0(2(x1)))))))))))))))))))) -> 3(2(1(4(2(2(3(4(2(3(1(4(2(3(0(3(3(4(0(3(x1))))))))))))))))))))
   1(1(3(3(1(1(3(2(3(2(0(4(2(0(2(1(1(0(4(1(x1)))))))))))))))))))) -> 2(3(4(2(0(0(0(0(3(1(2(2(4(1(2(3(1(0(4(4(x1))))))))))))))))))))
   1(3(1(4(0(1(4(3(0(4(2(1(0(0(1(2(3(2(2(3(x1)))))))))))))))))))) -> 0(4(0(3(0(3(0(3(2(0(1(0(0(2(1(3(2(1(2(0(x1))))))))))))))))))))
   1(3(2(3(1(0(3(3(0(1(2(0(2(2(2(0(1(3(1(0(x1)))))))))))))))))))) -> 3(3(4(3(1(2(2(4(4(0(2(2(2(2(0(0(2(0(1(4(x1))))))))))))))))))))
   1(3(3(4(4(2(3(1(3(3(0(3(4(2(2(4(2(2(4(4(x1)))))))))))))))))))) -> 0(4(2(4(3(3(2(1(4(2(4(4(3(2(2(3(1(2(2(0(x1))))))))))))))))))))
   1(4(4(2(3(1(2(3(3(1(0(1(3(2(1(2(1(2(2(2(x1)))))))))))))))))))) -> 2(0(2(0(2(0(2(0(4(2(4(2(3(2(3(1(2(2(2(1(x1))))))))))))))))))))
   2(0(0(0(2(2(3(1(3(1(0(4(3(3(0(2(4(1(0(3(x1)))))))))))))))))))) -> 4(0(3(4(3(4(0(0(2(2(2(1(2(2(2(1(1(2(0(4(x1))))))))))))))))))))
   2(0(0(0(3(1(0(2(4(2(2(2(4(0(4(0(1(0(3(4(x1)))))))))))))))))))) -> 1(4(2(4(4(4(4(3(2(4(4(3(2(2(0(0(4(1(2(2(x1))))))))))))))))))))
   2(0(2(1(1(0(1(0(2(2(0(1(2(0(2(4(0(1(2(0(x1)))))))))))))))))))) -> 3(0(2(4(1(2(0(4(2(1(3(0(2(3(4(2(3(3(4(0(x1))))))))))))))))))))
   2(0(2(4(2(2(2(4(3(0(0(1(0(1(0(3(0(3(2(4(x1)))))))))))))))))))) -> 0(3(0(2(2(0(2(1(3(2(3(3(0(2(0(4(3(3(3(2(x1))))))))))))))))))))
   2(0(3(2(0(3(2(4(1(2(3(1(4(1(3(3(3(0(1(3(x1)))))))))))))))))))) -> 3(0(3(2(1(1(1(3(4(0(3(2(0(2(2(3(2(0(3(2(x1))))))))))))))))))))
   2(0(3(4(1(2(0(2(3(3(1(2(0(1(2(0(4(4(4(2(x1)))))))))))))))))))) -> 2(2(2(4(3(2(0(1(4(1(2(3(0(3(1(3(3(1(2(4(x1))))))))))))))))))))
   2(0(4(2(1(3(4(4(2(1(0(3(2(1(3(2(1(4(2(4(x1)))))))))))))))))))) -> 0(2(4(2(2(2(0(2(4(3(3(2(3(3(4(1(0(3(0(4(x1))))))))))))))))))))
   2(0(4(2(2(3(4(0(1(0(3(2(1(3(0(3(1(1(3(0(x1)))))))))))))))))))) -> 0(3(0(1(2(2(2(0(0(3(3(2(1(1(0(4(2(1(2(4(x1))))))))))))))))))))
   2(1(3(2(2(0(4(4(0(4(1(2(3(3(0(2(1(4(4(4(x1)))))))))))))))))))) -> 4(3(2(3(2(2(2(1(4(1(2(2(0(1(1(1(0(0(3(4(x1))))))))))))))))))))
   2(1(3(4(1(0(3(2(0(3(0(1(1(4(0(0(2(4(4(1(x1)))))))))))))))))))) -> 3(0(3(2(1(4(1(4(0(0(2(2(0(1(1(0(4(1(2(1(x1))))))))))))))))))))
   2(1(4(1(3(4(3(2(2(0(1(0(2(1(0(3(4(2(4(2(x1)))))))))))))))))))) -> 4(2(2(2(3(3(4(1(4(0(2(3(2(1(0(3(2(3(3(4(x1))))))))))))))))))))
   2(1(4(4(0(1(2(0(2(3(0(2(1(2(3(0(2(3(1(3(x1)))))))))))))))))))) -> 0(3(2(3(2(3(0(2(2(0(2(3(1(3(3(3(1(2(4(2(x1))))))))))))))))))))
   2(3(0(1(3(3(4(2(1(4(4(2(3(1(1(1(2(3(0(2(x1)))))))))))))))))))) -> 2(2(3(0(4(4(0(0(1(3(3(0(4(3(4(2(2(4(3(2(x1))))))))))))))))))))
   2(3(1(1(3(2(1(1(1(3(2(3(4(2(2(3(4(3(3(0(x1)))))))))))))))))))) -> 0(4(4(2(4(0(2(3(2(0(2(1(2(4(4(3(2(3(2(2(x1))))))))))))))))))))
   2(3(1(2(3(3(3(1(1(1(0(1(2(4(0(4(2(1(2(2(x1)))))))))))))))))))) -> 2(2(0(1(4(3(2(2(4(3(0(2(4(3(2(0(0(1(0(2(x1))))))))))))))))))))
   2(3(3(3(0(0(1(0(2(4(3(1(1(3(2(1(2(2(2(1(x1)))))))))))))))))))) -> 3(4(2(2(0(0(0(0(2(4(2(3(2(0(3(2(3(0(2(3(x1))))))))))))))))))))
   2(3(4(0(0(4(3(3(2(3(4(0(2(0(4(4(0(2(4(2(x1)))))))))))))))))))) -> 1(3(1(3(3(2(0(2(2(3(0(1(2(2(2(4(1(2(1(1(x1))))))))))))))))))))
   2(3(4(4(4(3(0(0(2(3(4(3(0(4(3(0(1(2(4(2(x1)))))))))))))))))))) -> 3(3(2(0(4(0(2(4(2(3(2(2(4(4(0(4(0(3(4(1(x1))))))))))))))))))))
   2(4(0(0(3(2(2(2(1(1(4(0(1(2(2(3(4(2(3(4(x1)))))))))))))))))))) -> 3(1(3(2(2(4(0(3(2(1(0(0(2(3(3(3(2(3(4(3(x1))))))))))))))))))))
   2(4(0(0(4(2(1(3(3(3(2(0(4(1(4(0(2(1(3(2(x1)))))))))))))))))))) -> 0(4(2(4(0(3(2(1(2(4(2(2(3(1(0(1(2(3(3(2(x1))))))))))))))))))))
   2(4(0(3(1(2(1(1(2(0(2(2(0(3(2(1(1(0(1(3(x1)))))))))))))))))))) -> 2(3(3(1(3(1(2(1(1(0(2(0(0(2(3(3(0(3(3(3(x1))))))))))))))))))))
   2(4(1(3(2(2(1(4(2(1(1(1(2(2(2(0(3(0(2(4(x1)))))))))))))))))))) -> 3(3(1(4(3(2(3(2(2(3(2(1(1(0(3(3(3(4(0(2(x1))))))))))))))))))))
   2(4(2(2(1(1(2(3(0(1(0(0(3(2(1(0(0(1(0(2(x1)))))))))))))))))))) -> 2(2(2(3(3(4(1(4(3(0(0(2(0(1(1(2(3(0(2(4(x1))))))))))))))))))))
   2(4(2(2(1(2(4(2(3(0(1(0(2(1(2(0(0(0(4(0(x1)))))))))))))))))))) -> 2(3(0(2(0(3(0(2(1(0(4(2(2(1(3(1(3(0(4(3(x1))))))))))))))))))))
   2(4(3(2(0(2(4(1(2(0(4(1(2(3(1(2(3(4(1(1(x1)))))))))))))))))))) -> 2(0(1(1(2(2(4(3(2(2(1(3(0(1(2(3(0(4(4(4(x1))))))))))))))))))))
   2(4(3(2(2(4(0(3(2(4(3(1(0(4(4(3(3(2(2(1(x1)))))))))))))))))))) -> 3(4(3(0(2(2(2(4(3(2(0(3(0(3(2(0(3(0(4(2(x1))))))))))))))))))))
   2(4(4(4(2(2(2(0(4(3(4(3(4(2(3(1(4(3(1(3(x1)))))))))))))))))))) -> 2(3(4(2(1(1(1(3(2(3(0(2(4(1(2(0(2(1(1(4(x1))))))))))))))))))))
   3(0(0(1(0(2(3(3(2(0(2(1(1(0(4(3(2(0(4(2(x1)))))))))))))))))))) -> 1(0(0(2(1(4(4(0(2(3(0(2(4(4(2(3(2(4(0(2(x1))))))))))))))))))))
   3(0(1(0(2(2(3(1(2(1(1(1(0(0(2(2(1(3(1(3(x1)))))))))))))))))))) -> 3(1(4(1(2(1(0(3(2(0(0(1(0(2(4(0(2(2(3(2(x1))))))))))))))))))))
   3(0(1(3(2(0(1(3(4(2(3(1(2(2(1(2(3(1(3(1(x1)))))))))))))))))))) -> 2(3(2(3(0(2(1(2(2(4(3(3(3(2(1(0(1(3(2(2(x1))))))))))))))))))))
   3(0(1(4(2(2(3(4(4(3(0(2(1(4(1(0(1(0(2(3(x1)))))))))))))))))))) -> 4(2(0(4(1(1(2(0(2(4(0(3(4(4(3(2(0(3(3(2(x1))))))))))))))))))))
   3(0(1(4(3(1(2(0(3(2(3(2(2(0(2(2(3(1(2(2(x1)))))))))))))))))))) -> 0(2(2(3(0(2(0(3(1(3(1(2(2(2(3(2(2(0(4(2(x1))))))))))))))))))))
   3(0(2(4(0(4(0(1(2(1(4(3(0(4(3(0(3(3(3(2(x1)))))))))))))))))))) -> 1(0(4(3(1(4(2(3(3(4(3(0(0(2(2(3(4(0(4(2(x1))))))))))))))))))))
   3(0(3(2(0(0(2(2(3(0(0(4(3(4(2(4(2(3(3(3(x1)))))))))))))))))))) -> 3(0(0(1(3(2(2(2(3(3(2(0(1(2(3(3(4(2(2(4(x1))))))))))))))))))))
   3(1(0(3(2(2(1(1(4(4(0(2(2(4(3(2(2(3(4(2(x1)))))))))))))))))))) -> 2(0(4(3(3(2(2(2(4(0(4(3(2(2(2(0(3(0(4(2(x1))))))))))))))))))))
   3(1(1(0(0(2(2(4(2(2(2(2(1(2(2(1(1(1(1(4(x1)))))))))))))))))))) -> 4(2(1(4(1(3(2(2(4(4(2(3(3(3(3(2(4(3(2(3(x1))))))))))))))))))))
   3(1(1(1(2(0(1(3(3(2(1(3(4(1(2(2(3(3(2(3(x1)))))))))))))))))))) -> 2(3(2(2(4(3(4(2(3(1(2(2(4(2(3(0(4(3(0(3(x1))))))))))))))))))))
   3(1(4(3(4(2(1(1(1(4(3(1(3(2(2(4(2(2(1(1(x1)))))))))))))))))))) -> 2(1(2(4(2(4(1(4(2(1(4(0(0(1(2(3(3(2(1(3(x1))))))))))))))))))))
   3(2(0(3(2(4(4(2(2(2(0(1(2(2(3(4(0(2(4(1(x1)))))))))))))))))))) -> 0(0(2(3(0(2(1(2(2(2(3(2(1(3(4(3(4(2(2(2(x1))))))))))))))))))))
   3(2(0(3(4(4(4(1(0(2(2(1(4(0(0(4(3(2(3(1(x1)))))))))))))))))))) -> 0(4(0(3(4(2(0(3(1(3(3(1(1(0(3(2(2(3(0(3(x1))))))))))))))))))))
   3(2(2(3(4(3(2(2(0(4(1(4(3(4(2(1(4(1(0(2(x1)))))))))))))))))))) -> 2(1(3(3(3(2(2(4(0(4(0(4(2(0(2(1(3(3(3(3(x1))))))))))))))))))))
   3(2(3(2(2(0(0(4(1(0(0(4(0(3(3(2(2(1(0(3(x1)))))))))))))))))))) -> 1(3(1(2(0(4(0(3(2(4(3(0(2(1(2(2(1(2(2(3(x1))))))))))))))))))))
   3(3(0(4(4(1(0(2(3(2(1(2(2(3(3(1(0(2(4(1(x1)))))))))))))))))))) -> 4(2(1(2(3(3(3(3(0(2(0(3(0(2(3(1(2(1(1(0(x1))))))))))))))))))))
   3(3(1(0(2(4(2(3(1(0(2(4(4(4(0(0(2(1(1(2(x1)))))))))))))))))))) -> 2(4(2(3(2(3(4(0(4(2(4(3(1(0(1(2(0(3(2(0(x1))))))))))))))))))))
   3(3(2(4(3(0(2(1(4(3(3(4(4(1(1(4(3(3(2(2(x1)))))))))))))))))))) -> 4(1(2(3(2(0(3(3(0(3(2(3(1(1(2(0(1(0(2(2(x1))))))))))))))))))))
   3(3(3(0(2(0(2(2(1(0(0(4(4(2(0(2(3(0(2(4(x1)))))))))))))))))))) -> 2(3(3(2(4(3(4(2(3(3(1(0(1(2(4(3(0(3(3(2(x1))))))))))))))))))))
   3(4(2(1(4(1(0(2(4(3(3(4(3(3(1(2(2(3(3(3(x1)))))))))))))))))))) -> 4(2(0(1(2(0(2(0(0(2(1(4(0(3(2(2(3(2(2(4(x1))))))))))))))))))))
   3(4(4(4(3(1(4(3(0(2(2(0(4(4(1(3(3(3(2(2(x1)))))))))))))))))))) -> 4(2(2(3(0(0(3(1(1(1(4(4(3(0(3(2(1(0(2(2(x1))))))))))))))))))))
   4(0(0(0(0(4(2(1(1(1(1(3(2(4(0(0(3(2(4(1(x1)))))))))))))))))))) -> 2(1(2(2(0(2(4(3(1(0(4(1(4(0(3(4(1(3(4(4(x1))))))))))))))))))))
   4(0(2(2(4(3(1(3(4(0(0(0(2(2(2(3(0(4(2(4(x1)))))))))))))))))))) -> 2(1(3(3(4(4(1(0(3(2(2(3(0(0(4(3(3(4(2(2(x1))))))))))))))))))))
   4(0(2(3(1(1(2(3(1(1(2(0(4(3(0(2(3(2(3(3(x1)))))))))))))))))))) -> 2(2(4(2(2(3(0(2(4(2(3(1(3(2(2(3(4(1(0(2(x1))))))))))))))))))))
   4(0(3(2(0(3(3(2(3(1(4(3(2(2(3(1(3(1(0(4(x1)))))))))))))))))))) -> 0(0(0(2(1(3(3(4(2(4(3(3(2(4(2(3(3(0(0(3(x1))))))))))))))))))))
   4(0(4(2(2(3(3(2(2(1(2(1(0(1(0(3(2(1(2(0(x1)))))))))))))))))))) -> 1(1(2(2(0(0(4(4(2(3(3(3(2(2(2(0(3(0(0(2(x1))))))))))))))))))))
   4(1(1(1(4(2(4(2(0(2(3(3(1(3(0(2(2(0(0(3(x1)))))))))))))))))))) -> 0(4(2(1(2(2(2(0(4(2(3(3(0(2(1(4(0(1(4(2(x1))))))))))))))))))))
   4(1(2(3(2(0(0(1(0(2(3(1(3(2(3(1(0(1(4(2(x1)))))))))))))))))))) -> 1(1(1(0(2(3(0(3(3(2(4(3(3(2(0(2(1(2(3(3(x1))))))))))))))))))))
   4(1(4(3(1(0(4(4(1(3(3(2(2(1(2(2(3(2(0(0(x1)))))))))))))))))))) -> 2(2(4(4(3(3(2(1(4(4(3(2(3(4(1(2(1(1(3(0(x1))))))))))))))))))))
   4(2(3(0(2(2(4(0(0(3(1(2(0(4(2(0(2(3(3(0(x1)))))))))))))))))))) -> 2(2(2(2(4(0(3(0(4(1(2(2(1(3(3(2(0(3(1(0(x1))))))))))))))))))))
   4(2(3(2(2(0(0(4(0(2(0(1(3(0(2(1(0(1(2(4(x1)))))))))))))))))))) -> 1(0(2(0(4(3(4(3(0(3(2(2(4(0(2(1(2(2(4(2(x1))))))))))))))))))))
   4(2(4(0(2(3(1(0(2(1(2(2(4(1(4(3(1(0(3(2(x1)))))))))))))))))))) -> 1(3(0(2(3(2(0(0(0(3(3(2(4(4(3(3(2(4(3(0(x1))))))))))))))))))))
   4(3(0(3(2(0(2(2(3(1(0(2(0(0(2(3(1(3(4(4(x1)))))))))))))))))))) -> 1(4(0(3(3(2(2(2(0(2(3(1(2(3(3(0(3(1(0(1(x1))))))))))))))))))))
   4(3(0(3(4(3(3(0(1(3(2(3(3(4(3(0(0(3(4(2(x1)))))))))))))))))))) -> 1(1(0(4(0(0(0(2(4(0(2(2(3(2(3(3(0(4(3(2(x1))))))))))))))))))))
   4(3(2(0(0(3(4(2(0(3(0(1(0(1(1(4(0(2(2(4(x1)))))))))))))))))))) -> 4(1(2(2(4(4(2(1(4(3(2(0(0(0(2(4(1(2(0(3(x1))))))))))))))))))))
   4(3(3(3(0(2(1(2(2(3(2(0(1(1(4(1(3(4(2(4(x1)))))))))))))))))))) -> 3(4(1(3(3(2(1(2(1(1(0(2(2(0(0(1(1(2(3(2(x1))))))))))))))))))))
   4(4(0(3(0(1(3(2(2(2(3(1(0(2(3(3(0(2(4(4(x1)))))))))))))))))))) -> 2(1(3(2(2(2(4(0(3(2(2(2(2(2(0(3(0(2(0(3(x1))))))))))))))))))))
   4(4(0(3(0(4(2(4(2(3(0(2(2(0(4(3(3(4(2(2(x1)))))))))))))))))))) -> 2(3(3(1(0(2(2(3(1(4(0(0(1(2(2(0(4(4(2(2(x1))))))))))))))))))))
   4(4(2(2(0(0(3(0(3(1(2(3(3(1(2(2(2(4(4(4(x1)))))))))))))))))))) -> 4(2(3(0(2(2(0(2(2(4(3(1(1(4(4(2(4(2(3(3(x1))))))))))))))))))))
   4(4(4(1(3(3(4(4(2(2(0(1(0(2(4(3(2(2(0(2(x1)))))))))))))))))))) -> 4(3(2(3(2(2(0(0(1(3(4(2(2(2(4(4(1(2(0(2(x1))))))))))))))))))))
   4(4(4(4(3(2(0(3(2(4(2(4(1(2(1(4(2(3(0(0(x1)))))))))))))))))))) -> 3(4(2(3(3(2(2(1(3(4(2(3(1(4(4(3(1(1(3(3(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(2(2(3(3(2(0(0(0(4(2(0(1(2(4(2(x1)))))))))))))))))))) -> 1(1(1(3(0(3(0(2(3(2(2(4(1(2(3(4(1(2(2(4(x1))))))))))))))))))))
   0(0(0(2(1(1(2(2(1(3(0(0(4(3(4(3(4(1(2(1(x1)))))))))))))))))))) -> 0(0(0(1(2(2(2(0(4(1(4(1(2(4(3(3(1(0(3(3(x1))))))))))))))))))))
   0(0(2(1(0(3(1(3(1(3(3(3(2(4(0(0(1(2(0(4(x1)))))))))))))))))))) -> 4(4(1(4(4(3(2(1(1(0(2(2(1(2(1(0(3(4(2(2(x1))))))))))))))))))))
   0(0(2(3(1(4(2(1(4(2(0(1(4(2(2(1(1(2(4(4(x1)))))))))))))))))))) -> 1(1(2(3(3(4(4(4(2(3(2(2(1(2(0(1(2(0(4(4(x1))))))))))))))))))))
   0(1(2(0(1(4(4(0(3(0(2(3(0(0(3(3(0(2(3(2(x1)))))))))))))))))))) -> 1(3(3(2(4(2(1(2(1(2(0(2(0(3(2(2(4(0(3(3(x1))))))))))))))))))))
   0(1(4(2(2(0(3(2(0(4(1(3(2(0(0(3(2(3(0(2(x1)))))))))))))))))))) -> 2(4(2(1(2(2(3(0(2(0(1(2(2(0(1(2(0(0(4(2(x1))))))))))))))))))))
   0(1(4(3(2(3(0(1(2(4(0(3(4(2(0(0(3(2(4(2(x1)))))))))))))))))))) -> 2(1(3(0(0(1(4(3(1(3(2(2(2(1(3(0(2(0(0(2(x1))))))))))))))))))))
   0(2(1(1(2(1(4(1(2(2(4(0(0(3(3(3(2(2(1(0(x1)))))))))))))))))))) -> 4(3(3(0(2(3(4(2(4(1(2(1(4(3(4(3(3(2(2(3(x1))))))))))))))))))))
   0(2(1(3(0(0(4(4(4(0(0(3(2(1(2(4(0(1(2(2(x1)))))))))))))))))))) -> 0(4(0(0(2(3(0(4(1(2(3(0(3(0(1(4(2(2(3(3(x1))))))))))))))))))))
   0(2(2(1(2(0(3(1(2(2(4(1(2(0(2(4(0(1(0(3(x1)))))))))))))))))))) -> 2(4(3(0(3(0(2(3(0(4(2(2(2(3(3(2(4(3(1(1(x1))))))))))))))))))))
   0(2(3(0(4(2(3(1(3(4(0(3(4(2(1(3(2(3(4(0(x1)))))))))))))))))))) -> 4(1(2(0(3(0(1(2(3(0(2(1(3(2(0(3(0(2(4(0(x1))))))))))))))))))))
   0(2(4(2(1(2(3(0(1(2(0(3(0(4(1(0(2(0(2(0(x1)))))))))))))))))))) -> 3(2(3(1(0(1(2(0(2(2(3(2(0(4(4(2(0(4(4(2(x1))))))))))))))))))))
   0(3(2(0(4(2(0(1(1(3(2(3(4(4(1(2(4(2(4(2(x1)))))))))))))))))))) -> 2(2(4(3(4(2(3(4(1(2(1(0(0(2(0(4(1(4(2(2(x1))))))))))))))))))))
   0(3(3(2(4(1(0(0(1(2(0(4(3(3(4(4(4(3(1(2(x1)))))))))))))))))))) -> 4(1(2(2(2(2(4(4(2(0(3(2(1(0(4(4(1(4(2(0(x1))))))))))))))))))))
   0(4(2(0(0(3(2(1(0(1(3(1(2(4(4(0(2(3(2(2(x1)))))))))))))))))))) -> 2(1(2(2(3(3(2(0(4(4(3(3(1(0(0(3(4(2(2(4(x1))))))))))))))))))))
   0(4(2(2(0(2(3(3(4(1(3(2(4(0(2(1(1(4(3(2(x1)))))))))))))))))))) -> 2(4(3(3(0(3(1(2(3(3(4(2(0(0(4(2(0(1(2(2(x1))))))))))))))))))))
   0(4(4(2(3(2(1(2(2(1(4(1(1(1(4(2(2(1(2(0(x1)))))))))))))))))))) -> 3(0(0(1(4(1(2(3(3(4(2(1(1(3(2(2(1(3(2(4(x1))))))))))))))))))))
   1(0(0(1(2(3(4(2(0(4(4(2(2(4(1(2(2(2(4(4(x1)))))))))))))))))))) -> 2(4(3(0(2(0(3(1(2(1(1(2(2(3(0(2(4(3(1(3(x1))))))))))))))))))))
   1(0(0(3(1(4(2(1(2(2(2(2(2(3(0(1(4(2(0(4(x1)))))))))))))))))))) -> 2(4(4(0(3(3(0(3(3(3(2(4(2(2(0(0(0(0(3(3(x1))))))))))))))))))))
   1(0(0(4(0(0(2(3(2(2(3(3(1(3(4(3(2(2(1(1(x1)))))))))))))))))))) -> 1(2(2(2(0(0(2(2(3(0(4(4(2(1(4(2(2(2(4(1(x1))))))))))))))))))))
   1(0(2(1(1(1(2(0(0(2(1(3(3(3(1(4(1(0(0(1(x1)))))))))))))))))))) -> 2(2(1(0(1(4(3(2(3(0(0(0(4(3(2(1(1(2(0(2(x1))))))))))))))))))))
   1(0(4(0(1(3(0(2(3(2(1(2(3(2(4(2(4(3(4(2(x1)))))))))))))))))))) -> 2(3(0(2(0(2(2(2(3(4(1(0(2(3(1(2(1(2(4(2(x1))))))))))))))))))))
   1(1(0(0(1(3(2(4(3(1(4(0(4(1(2(2(2(3(3(2(x1)))))))))))))))))))) -> 3(1(4(3(1(0(3(4(0(3(2(2(4(0(2(3(3(2(2(0(x1))))))))))))))))))))
   1(1(1(1(2(4(4(3(0(2(3(3(1(3(0(1(4(2(2(3(x1)))))))))))))))))))) -> 3(4(2(1(1(0(1(2(1(4(4(2(3(3(4(2(1(2(3(2(x1))))))))))))))))))))
   1(1(2(0(4(1(3(1(2(2(0(4(0(2(3(4(4(0(2(3(x1)))))))))))))))))))) -> 1(0(2(2(4(0(3(1(0(0(3(0(2(1(1(2(2(3(1(0(x1))))))))))))))))))))
   1(1(2(1(3(4(0(2(2(3(3(3(3(0(1(0(4(3(0(2(x1)))))))))))))))))))) -> 3(2(1(4(2(2(3(4(2(3(1(4(2(3(0(3(3(4(0(3(x1))))))))))))))))))))
   1(1(3(3(1(1(3(2(3(2(0(4(2(0(2(1(1(0(4(1(x1)))))))))))))))))))) -> 2(3(4(2(0(0(0(0(3(1(2(2(4(1(2(3(1(0(4(4(x1))))))))))))))))))))
   1(3(1(4(0(1(4(3(0(4(2(1(0(0(1(2(3(2(2(3(x1)))))))))))))))))))) -> 0(4(0(3(0(3(0(3(2(0(1(0(0(2(1(3(2(1(2(0(x1))))))))))))))))))))
   1(3(2(3(1(0(3(3(0(1(2(0(2(2(2(0(1(3(1(0(x1)))))))))))))))))))) -> 3(3(4(3(1(2(2(4(4(0(2(2(2(2(0(0(2(0(1(4(x1))))))))))))))))))))
   1(3(3(4(4(2(3(1(3(3(0(3(4(2(2(4(2(2(4(4(x1)))))))))))))))))))) -> 0(4(2(4(3(3(2(1(4(2(4(4(3(2(2(3(1(2(2(0(x1))))))))))))))))))))
   1(4(4(2(3(1(2(3(3(1(0(1(3(2(1(2(1(2(2(2(x1)))))))))))))))))))) -> 2(0(2(0(2(0(2(0(4(2(4(2(3(2(3(1(2(2(2(1(x1))))))))))))))))))))
   2(0(0(0(2(2(3(1(3(1(0(4(3(3(0(2(4(1(0(3(x1)))))))))))))))))))) -> 4(0(3(4(3(4(0(0(2(2(2(1(2(2(2(1(1(2(0(4(x1))))))))))))))))))))
   2(0(0(0(3(1(0(2(4(2(2(2(4(0(4(0(1(0(3(4(x1)))))))))))))))))))) -> 1(4(2(4(4(4(4(3(2(4(4(3(2(2(0(0(4(1(2(2(x1))))))))))))))))))))
   2(0(2(1(1(0(1(0(2(2(0(1(2(0(2(4(0(1(2(0(x1)))))))))))))))))))) -> 3(0(2(4(1(2(0(4(2(1(3(0(2(3(4(2(3(3(4(0(x1))))))))))))))))))))
   2(0(2(4(2(2(2(4(3(0(0(1(0(1(0(3(0(3(2(4(x1)))))))))))))))))))) -> 0(3(0(2(2(0(2(1(3(2(3(3(0(2(0(4(3(3(3(2(x1))))))))))))))))))))
   2(0(3(2(0(3(2(4(1(2(3(1(4(1(3(3(3(0(1(3(x1)))))))))))))))))))) -> 3(0(3(2(1(1(1(3(4(0(3(2(0(2(2(3(2(0(3(2(x1))))))))))))))))))))
   2(0(3(4(1(2(0(2(3(3(1(2(0(1(2(0(4(4(4(2(x1)))))))))))))))))))) -> 2(2(2(4(3(2(0(1(4(1(2(3(0(3(1(3(3(1(2(4(x1))))))))))))))))))))
   2(0(4(2(1(3(4(4(2(1(0(3(2(1(3(2(1(4(2(4(x1)))))))))))))))))))) -> 0(2(4(2(2(2(0(2(4(3(3(2(3(3(4(1(0(3(0(4(x1))))))))))))))))))))
   2(0(4(2(2(3(4(0(1(0(3(2(1(3(0(3(1(1(3(0(x1)))))))))))))))))))) -> 0(3(0(1(2(2(2(0(0(3(3(2(1(1(0(4(2(1(2(4(x1))))))))))))))))))))
   2(1(3(2(2(0(4(4(0(4(1(2(3(3(0(2(1(4(4(4(x1)))))))))))))))))))) -> 4(3(2(3(2(2(2(1(4(1(2(2(0(1(1(1(0(0(3(4(x1))))))))))))))))))))
   2(1(3(4(1(0(3(2(0(3(0(1(1(4(0(0(2(4(4(1(x1)))))))))))))))))))) -> 3(0(3(2(1(4(1(4(0(0(2(2(0(1(1(0(4(1(2(1(x1))))))))))))))))))))
   2(1(4(1(3(4(3(2(2(0(1(0(2(1(0(3(4(2(4(2(x1)))))))))))))))))))) -> 4(2(2(2(3(3(4(1(4(0(2(3(2(1(0(3(2(3(3(4(x1))))))))))))))))))))
   2(1(4(4(0(1(2(0(2(3(0(2(1(2(3(0(2(3(1(3(x1)))))))))))))))))))) -> 0(3(2(3(2(3(0(2(2(0(2(3(1(3(3(3(1(2(4(2(x1))))))))))))))))))))
   2(3(0(1(3(3(4(2(1(4(4(2(3(1(1(1(2(3(0(2(x1)))))))))))))))))))) -> 2(2(3(0(4(4(0(0(1(3(3(0(4(3(4(2(2(4(3(2(x1))))))))))))))))))))
   2(3(1(1(3(2(1(1(1(3(2(3(4(2(2(3(4(3(3(0(x1)))))))))))))))))))) -> 0(4(4(2(4(0(2(3(2(0(2(1(2(4(4(3(2(3(2(2(x1))))))))))))))))))))
   2(3(1(2(3(3(3(1(1(1(0(1(2(4(0(4(2(1(2(2(x1)))))))))))))))))))) -> 2(2(0(1(4(3(2(2(4(3(0(2(4(3(2(0(0(1(0(2(x1))))))))))))))))))))
   2(3(3(3(0(0(1(0(2(4(3(1(1(3(2(1(2(2(2(1(x1)))))))))))))))))))) -> 3(4(2(2(0(0(0(0(2(4(2(3(2(0(3(2(3(0(2(3(x1))))))))))))))))))))
   2(3(4(0(0(4(3(3(2(3(4(0(2(0(4(4(0(2(4(2(x1)))))))))))))))))))) -> 1(3(1(3(3(2(0(2(2(3(0(1(2(2(2(4(1(2(1(1(x1))))))))))))))))))))
   2(3(4(4(4(3(0(0(2(3(4(3(0(4(3(0(1(2(4(2(x1)))))))))))))))))))) -> 3(3(2(0(4(0(2(4(2(3(2(2(4(4(0(4(0(3(4(1(x1))))))))))))))))))))
   2(4(0(0(3(2(2(2(1(1(4(0(1(2(2(3(4(2(3(4(x1)))))))))))))))))))) -> 3(1(3(2(2(4(0(3(2(1(0(0(2(3(3(3(2(3(4(3(x1))))))))))))))))))))
   2(4(0(0(4(2(1(3(3(3(2(0(4(1(4(0(2(1(3(2(x1)))))))))))))))))))) -> 0(4(2(4(0(3(2(1(2(4(2(2(3(1(0(1(2(3(3(2(x1))))))))))))))))))))
   2(4(0(3(1(2(1(1(2(0(2(2(0(3(2(1(1(0(1(3(x1)))))))))))))))))))) -> 2(3(3(1(3(1(2(1(1(0(2(0(0(2(3(3(0(3(3(3(x1))))))))))))))))))))
   2(4(1(3(2(2(1(4(2(1(1(1(2(2(2(0(3(0(2(4(x1)))))))))))))))))))) -> 3(3(1(4(3(2(3(2(2(3(2(1(1(0(3(3(3(4(0(2(x1))))))))))))))))))))
   2(4(2(2(1(1(2(3(0(1(0(0(3(2(1(0(0(1(0(2(x1)))))))))))))))))))) -> 2(2(2(3(3(4(1(4(3(0(0(2(0(1(1(2(3(0(2(4(x1))))))))))))))))))))
   2(4(2(2(1(2(4(2(3(0(1(0(2(1(2(0(0(0(4(0(x1)))))))))))))))))))) -> 2(3(0(2(0(3(0(2(1(0(4(2(2(1(3(1(3(0(4(3(x1))))))))))))))))))))
   2(4(3(2(0(2(4(1(2(0(4(1(2(3(1(2(3(4(1(1(x1)))))))))))))))))))) -> 2(0(1(1(2(2(4(3(2(2(1(3(0(1(2(3(0(4(4(4(x1))))))))))))))))))))
   2(4(3(2(2(4(0(3(2(4(3(1(0(4(4(3(3(2(2(1(x1)))))))))))))))))))) -> 3(4(3(0(2(2(2(4(3(2(0(3(0(3(2(0(3(0(4(2(x1))))))))))))))))))))
   2(4(4(4(2(2(2(0(4(3(4(3(4(2(3(1(4(3(1(3(x1)))))))))))))))))))) -> 2(3(4(2(1(1(1(3(2(3(0(2(4(1(2(0(2(1(1(4(x1))))))))))))))))))))
   3(0(0(1(0(2(3(3(2(0(2(1(1(0(4(3(2(0(4(2(x1)))))))))))))))))))) -> 1(0(0(2(1(4(4(0(2(3(0(2(4(4(2(3(2(4(0(2(x1))))))))))))))))))))
   3(0(1(0(2(2(3(1(2(1(1(1(0(0(2(2(1(3(1(3(x1)))))))))))))))))))) -> 3(1(4(1(2(1(0(3(2(0(0(1(0(2(4(0(2(2(3(2(x1))))))))))))))))))))
   3(0(1(3(2(0(1(3(4(2(3(1(2(2(1(2(3(1(3(1(x1)))))))))))))))))))) -> 2(3(2(3(0(2(1(2(2(4(3(3(3(2(1(0(1(3(2(2(x1))))))))))))))))))))
   3(0(1(4(2(2(3(4(4(3(0(2(1(4(1(0(1(0(2(3(x1)))))))))))))))))))) -> 4(2(0(4(1(1(2(0(2(4(0(3(4(4(3(2(0(3(3(2(x1))))))))))))))))))))
   3(0(1(4(3(1(2(0(3(2(3(2(2(0(2(2(3(1(2(2(x1)))))))))))))))))))) -> 0(2(2(3(0(2(0(3(1(3(1(2(2(2(3(2(2(0(4(2(x1))))))))))))))))))))
   3(0(2(4(0(4(0(1(2(1(4(3(0(4(3(0(3(3(3(2(x1)))))))))))))))))))) -> 1(0(4(3(1(4(2(3(3(4(3(0(0(2(2(3(4(0(4(2(x1))))))))))))))))))))
   3(0(3(2(0(0(2(2(3(0(0(4(3(4(2(4(2(3(3(3(x1)))))))))))))))))))) -> 3(0(0(1(3(2(2(2(3(3(2(0(1(2(3(3(4(2(2(4(x1))))))))))))))))))))
   3(1(0(3(2(2(1(1(4(4(0(2(2(4(3(2(2(3(4(2(x1)))))))))))))))))))) -> 2(0(4(3(3(2(2(2(4(0(4(3(2(2(2(0(3(0(4(2(x1))))))))))))))))))))
   3(1(1(0(0(2(2(4(2(2(2(2(1(2(2(1(1(1(1(4(x1)))))))))))))))))))) -> 4(2(1(4(1(3(2(2(4(4(2(3(3(3(3(2(4(3(2(3(x1))))))))))))))))))))
   3(1(1(1(2(0(1(3(3(2(1(3(4(1(2(2(3(3(2(3(x1)))))))))))))))))))) -> 2(3(2(2(4(3(4(2(3(1(2(2(4(2(3(0(4(3(0(3(x1))))))))))))))))))))
   3(1(4(3(4(2(1(1(1(4(3(1(3(2(2(4(2(2(1(1(x1)))))))))))))))))))) -> 2(1(2(4(2(4(1(4(2(1(4(0(0(1(2(3(3(2(1(3(x1))))))))))))))))))))
   3(2(0(3(2(4(4(2(2(2(0(1(2(2(3(4(0(2(4(1(x1)))))))))))))))))))) -> 0(0(2(3(0(2(1(2(2(2(3(2(1(3(4(3(4(2(2(2(x1))))))))))))))))))))
   3(2(0(3(4(4(4(1(0(2(2(1(4(0(0(4(3(2(3(1(x1)))))))))))))))))))) -> 0(4(0(3(4(2(0(3(1(3(3(1(1(0(3(2(2(3(0(3(x1))))))))))))))))))))
   3(2(2(3(4(3(2(2(0(4(1(4(3(4(2(1(4(1(0(2(x1)))))))))))))))))))) -> 2(1(3(3(3(2(2(4(0(4(0(4(2(0(2(1(3(3(3(3(x1))))))))))))))))))))
   3(2(3(2(2(0(0(4(1(0(0(4(0(3(3(2(2(1(0(3(x1)))))))))))))))))))) -> 1(3(1(2(0(4(0(3(2(4(3(0(2(1(2(2(1(2(2(3(x1))))))))))))))))))))
   3(3(0(4(4(1(0(2(3(2(1(2(2(3(3(1(0(2(4(1(x1)))))))))))))))))))) -> 4(2(1(2(3(3(3(3(0(2(0(3(0(2(3(1(2(1(1(0(x1))))))))))))))))))))
   3(3(1(0(2(4(2(3(1(0(2(4(4(4(0(0(2(1(1(2(x1)))))))))))))))))))) -> 2(4(2(3(2(3(4(0(4(2(4(3(1(0(1(2(0(3(2(0(x1))))))))))))))))))))
   3(3(2(4(3(0(2(1(4(3(3(4(4(1(1(4(3(3(2(2(x1)))))))))))))))))))) -> 4(1(2(3(2(0(3(3(0(3(2(3(1(1(2(0(1(0(2(2(x1))))))))))))))))))))
   3(3(3(0(2(0(2(2(1(0(0(4(4(2(0(2(3(0(2(4(x1)))))))))))))))))))) -> 2(3(3(2(4(3(4(2(3(3(1(0(1(2(4(3(0(3(3(2(x1))))))))))))))))))))
   3(4(2(1(4(1(0(2(4(3(3(4(3(3(1(2(2(3(3(3(x1)))))))))))))))))))) -> 4(2(0(1(2(0(2(0(0(2(1(4(0(3(2(2(3(2(2(4(x1))))))))))))))))))))
   3(4(4(4(3(1(4(3(0(2(2(0(4(4(1(3(3(3(2(2(x1)))))))))))))))))))) -> 4(2(2(3(0(0(3(1(1(1(4(4(3(0(3(2(1(0(2(2(x1))))))))))))))))))))
   4(0(0(0(0(4(2(1(1(1(1(3(2(4(0(0(3(2(4(1(x1)))))))))))))))))))) -> 2(1(2(2(0(2(4(3(1(0(4(1(4(0(3(4(1(3(4(4(x1))))))))))))))))))))
   4(0(2(2(4(3(1(3(4(0(0(0(2(2(2(3(0(4(2(4(x1)))))))))))))))))))) -> 2(1(3(3(4(4(1(0(3(2(2(3(0(0(4(3(3(4(2(2(x1))))))))))))))))))))
   4(0(2(3(1(1(2(3(1(1(2(0(4(3(0(2(3(2(3(3(x1)))))))))))))))))))) -> 2(2(4(2(2(3(0(2(4(2(3(1(3(2(2(3(4(1(0(2(x1))))))))))))))))))))
   4(0(3(2(0(3(3(2(3(1(4(3(2(2(3(1(3(1(0(4(x1)))))))))))))))))))) -> 0(0(0(2(1(3(3(4(2(4(3(3(2(4(2(3(3(0(0(3(x1))))))))))))))))))))
   4(0(4(2(2(3(3(2(2(1(2(1(0(1(0(3(2(1(2(0(x1)))))))))))))))))))) -> 1(1(2(2(0(0(4(4(2(3(3(3(2(2(2(0(3(0(0(2(x1))))))))))))))))))))
   4(1(1(1(4(2(4(2(0(2(3(3(1(3(0(2(2(0(0(3(x1)))))))))))))))))))) -> 0(4(2(1(2(2(2(0(4(2(3(3(0(2(1(4(0(1(4(2(x1))))))))))))))))))))
   4(1(2(3(2(0(0(1(0(2(3(1(3(2(3(1(0(1(4(2(x1)))))))))))))))))))) -> 1(1(1(0(2(3(0(3(3(2(4(3(3(2(0(2(1(2(3(3(x1))))))))))))))))))))
   4(1(4(3(1(0(4(4(1(3(3(2(2(1(2(2(3(2(0(0(x1)))))))))))))))))))) -> 2(2(4(4(3(3(2(1(4(4(3(2(3(4(1(2(1(1(3(0(x1))))))))))))))))))))
   4(2(3(0(2(2(4(0(0(3(1(2(0(4(2(0(2(3(3(0(x1)))))))))))))))))))) -> 2(2(2(2(4(0(3(0(4(1(2(2(1(3(3(2(0(3(1(0(x1))))))))))))))))))))
   4(2(3(2(2(0(0(4(0(2(0(1(3(0(2(1(0(1(2(4(x1)))))))))))))))))))) -> 1(0(2(0(4(3(4(3(0(3(2(2(4(0(2(1(2(2(4(2(x1))))))))))))))))))))
   4(2(4(0(2(3(1(0(2(1(2(2(4(1(4(3(1(0(3(2(x1)))))))))))))))))))) -> 1(3(0(2(3(2(0(0(0(3(3(2(4(4(3(3(2(4(3(0(x1))))))))))))))))))))
   4(3(0(3(2(0(2(2(3(1(0(2(0(0(2(3(1(3(4(4(x1)))))))))))))))))))) -> 1(4(0(3(3(2(2(2(0(2(3(1(2(3(3(0(3(1(0(1(x1))))))))))))))))))))
   4(3(0(3(4(3(3(0(1(3(2(3(3(4(3(0(0(3(4(2(x1)))))))))))))))))))) -> 1(1(0(4(0(0(0(2(4(0(2(2(3(2(3(3(0(4(3(2(x1))))))))))))))))))))
   4(3(2(0(0(3(4(2(0(3(0(1(0(1(1(4(0(2(2(4(x1)))))))))))))))))))) -> 4(1(2(2(4(4(2(1(4(3(2(0(0(0(2(4(1(2(0(3(x1))))))))))))))))))))
   4(3(3(3(0(2(1(2(2(3(2(0(1(1(4(1(3(4(2(4(x1)))))))))))))))))))) -> 3(4(1(3(3(2(1(2(1(1(0(2(2(0(0(1(1(2(3(2(x1))))))))))))))))))))
   4(4(0(3(0(1(3(2(2(2(3(1(0(2(3(3(0(2(4(4(x1)))))))))))))))))))) -> 2(1(3(2(2(2(4(0(3(2(2(2(2(2(0(3(0(2(0(3(x1))))))))))))))))))))
   4(4(0(3(0(4(2(4(2(3(0(2(2(0(4(3(3(4(2(2(x1)))))))))))))))))))) -> 2(3(3(1(0(2(2(3(1(4(0(0(1(2(2(0(4(4(2(2(x1))))))))))))))))))))
   4(4(2(2(0(0(3(0(3(1(2(3(3(1(2(2(2(4(4(4(x1)))))))))))))))))))) -> 4(2(3(0(2(2(0(2(2(4(3(1(1(4(4(2(4(2(3(3(x1))))))))))))))))))))
   4(4(4(1(3(3(4(4(2(2(0(1(0(2(4(3(2(2(0(2(x1)))))))))))))))))))) -> 4(3(2(3(2(2(0(0(1(3(4(2(2(2(4(4(1(2(0(2(x1))))))))))))))))))))
   4(4(4(4(3(2(0(3(2(4(2(4(1(2(1(4(2(3(0(0(x1)))))))))))))))))))) -> 3(4(2(3(3(2(2(1(3(4(2(3(1(4(4(3(1(1(3(3(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(2(2(3(3(2(0(0(0(4(2(0(1(2(4(2(x1)))))))))))))))))))) -> 1(1(1(3(0(3(0(2(3(2(2(4(1(2(3(4(1(2(2(4(x1))))))))))))))))))))
   0(0(0(2(1(1(2(2(1(3(0(0(4(3(4(3(4(1(2(1(x1)))))))))))))))))))) -> 0(0(0(1(2(2(2(0(4(1(4(1(2(4(3(3(1(0(3(3(x1))))))))))))))))))))
   0(0(2(1(0(3(1(3(1(3(3(3(2(4(0(0(1(2(0(4(x1)))))))))))))))))))) -> 4(4(1(4(4(3(2(1(1(0(2(2(1(2(1(0(3(4(2(2(x1))))))))))))))))))))
   0(0(2(3(1(4(2(1(4(2(0(1(4(2(2(1(1(2(4(4(x1)))))))))))))))))))) -> 1(1(2(3(3(4(4(4(2(3(2(2(1(2(0(1(2(0(4(4(x1))))))))))))))))))))
   0(1(2(0(1(4(4(0(3(0(2(3(0(0(3(3(0(2(3(2(x1)))))))))))))))))))) -> 1(3(3(2(4(2(1(2(1(2(0(2(0(3(2(2(4(0(3(3(x1))))))))))))))))))))
   0(1(4(2(2(0(3(2(0(4(1(3(2(0(0(3(2(3(0(2(x1)))))))))))))))))))) -> 2(4(2(1(2(2(3(0(2(0(1(2(2(0(1(2(0(0(4(2(x1))))))))))))))))))))
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   4(1(2(3(2(0(0(1(0(2(3(1(3(2(3(1(0(1(4(2(x1)))))))))))))))))))) -> 1(1(1(0(2(3(0(3(3(2(4(3(3(2(0(2(1(2(3(3(x1))))))))))))))))))))
   4(1(4(3(1(0(4(4(1(3(3(2(2(1(2(2(3(2(0(0(x1)))))))))))))))))))) -> 2(2(4(4(3(3(2(1(4(4(3(2(3(4(1(2(1(1(3(0(x1))))))))))))))))))))
   4(2(3(0(2(2(4(0(0(3(1(2(0(4(2(0(2(3(3(0(x1)))))))))))))))))))) -> 2(2(2(2(4(0(3(0(4(1(2(2(1(3(3(2(0(3(1(0(x1))))))))))))))))))))
   4(2(3(2(2(0(0(4(0(2(0(1(3(0(2(1(0(1(2(4(x1)))))))))))))))))))) -> 1(0(2(0(4(3(4(3(0(3(2(2(4(0(2(1(2(2(4(2(x1))))))))))))))))))))
   4(2(4(0(2(3(1(0(2(1(2(2(4(1(4(3(1(0(3(2(x1)))))))))))))))))))) -> 1(3(0(2(3(2(0(0(0(3(3(2(4(4(3(3(2(4(3(0(x1))))))))))))))))))))
   4(3(0(3(2(0(2(2(3(1(0(2(0(0(2(3(1(3(4(4(x1)))))))))))))))))))) -> 1(4(0(3(3(2(2(2(0(2(3(1(2(3(3(0(3(1(0(1(x1))))))))))))))))))))
   4(3(0(3(4(3(3(0(1(3(2(3(3(4(3(0(0(3(4(2(x1)))))))))))))))))))) -> 1(1(0(4(0(0(0(2(4(0(2(2(3(2(3(3(0(4(3(2(x1))))))))))))))))))))
   4(3(2(0(0(3(4(2(0(3(0(1(0(1(1(4(0(2(2(4(x1)))))))))))))))))))) -> 4(1(2(2(4(4(2(1(4(3(2(0(0(0(2(4(1(2(0(3(x1))))))))))))))))))))
   4(3(3(3(0(2(1(2(2(3(2(0(1(1(4(1(3(4(2(4(x1)))))))))))))))))))) -> 3(4(1(3(3(2(1(2(1(1(0(2(2(0(0(1(1(2(3(2(x1))))))))))))))))))))
   4(4(0(3(0(1(3(2(2(2(3(1(0(2(3(3(0(2(4(4(x1)))))))))))))))))))) -> 2(1(3(2(2(2(4(0(3(2(2(2(2(2(0(3(0(2(0(3(x1))))))))))))))))))))
   4(4(0(3(0(4(2(4(2(3(0(2(2(0(4(3(3(4(2(2(x1)))))))))))))))))))) -> 2(3(3(1(0(2(2(3(1(4(0(0(1(2(2(0(4(4(2(2(x1))))))))))))))))))))
   4(4(2(2(0(0(3(0(3(1(2(3(3(1(2(2(2(4(4(4(x1)))))))))))))))))))) -> 4(2(3(0(2(2(0(2(2(4(3(1(1(4(4(2(4(2(3(3(x1))))))))))))))))))))
   4(4(4(1(3(3(4(4(2(2(0(1(0(2(4(3(2(2(0(2(x1)))))))))))))))))))) -> 4(3(2(3(2(2(0(0(1(3(4(2(2(2(4(4(1(2(0(2(x1))))))))))))))))))))
   4(4(4(4(3(2(0(3(2(4(2(4(1(2(1(4(2(3(0(0(x1)))))))))))))))))))) -> 3(4(2(3(3(2(2(1(3(4(2(3(1(4(4(3(1(1(3(3(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(2(2(3(3(2(0(0(0(4(2(0(1(2(4(2(x1)))))))))))))))))))) -> 1(1(1(3(0(3(0(2(3(2(2(4(1(2(3(4(1(2(2(4(x1))))))))))))))))))))
   0(0(0(2(1(1(2(2(1(3(0(0(4(3(4(3(4(1(2(1(x1)))))))))))))))))))) -> 0(0(0(1(2(2(2(0(4(1(4(1(2(4(3(3(1(0(3(3(x1))))))))))))))))))))
   0(0(2(1(0(3(1(3(1(3(3(3(2(4(0(0(1(2(0(4(x1)))))))))))))))))))) -> 4(4(1(4(4(3(2(1(1(0(2(2(1(2(1(0(3(4(2(2(x1))))))))))))))))))))
   0(0(2(3(1(4(2(1(4(2(0(1(4(2(2(1(1(2(4(4(x1)))))))))))))))))))) -> 1(1(2(3(3(4(4(4(2(3(2(2(1(2(0(1(2(0(4(4(x1))))))))))))))))))))
   0(1(2(0(1(4(4(0(3(0(2(3(0(0(3(3(0(2(3(2(x1)))))))))))))))))))) -> 1(3(3(2(4(2(1(2(1(2(0(2(0(3(2(2(4(0(3(3(x1))))))))))))))))))))
   0(1(4(2(2(0(3(2(0(4(1(3(2(0(0(3(2(3(0(2(x1)))))))))))))))))))) -> 2(4(2(1(2(2(3(0(2(0(1(2(2(0(1(2(0(0(4(2(x1))))))))))))))))))))
   0(1(4(3(2(3(0(1(2(4(0(3(4(2(0(0(3(2(4(2(x1)))))))))))))))))))) -> 2(1(3(0(0(1(4(3(1(3(2(2(2(1(3(0(2(0(0(2(x1))))))))))))))))))))
   0(2(1(1(2(1(4(1(2(2(4(0(0(3(3(3(2(2(1(0(x1)))))))))))))))))))) -> 4(3(3(0(2(3(4(2(4(1(2(1(4(3(4(3(3(2(2(3(x1))))))))))))))))))))
   0(2(1(3(0(0(4(4(4(0(0(3(2(1(2(4(0(1(2(2(x1)))))))))))))))))))) -> 0(4(0(0(2(3(0(4(1(2(3(0(3(0(1(4(2(2(3(3(x1))))))))))))))))))))
   0(2(2(1(2(0(3(1(2(2(4(1(2(0(2(4(0(1(0(3(x1)))))))))))))))))))) -> 2(4(3(0(3(0(2(3(0(4(2(2(2(3(3(2(4(3(1(1(x1))))))))))))))))))))
   0(2(3(0(4(2(3(1(3(4(0(3(4(2(1(3(2(3(4(0(x1)))))))))))))))))))) -> 4(1(2(0(3(0(1(2(3(0(2(1(3(2(0(3(0(2(4(0(x1))))))))))))))))))))
   0(2(4(2(1(2(3(0(1(2(0(3(0(4(1(0(2(0(2(0(x1)))))))))))))))))))) -> 3(2(3(1(0(1(2(0(2(2(3(2(0(4(4(2(0(4(4(2(x1))))))))))))))))))))
   0(3(2(0(4(2(0(1(1(3(2(3(4(4(1(2(4(2(4(2(x1)))))))))))))))))))) -> 2(2(4(3(4(2(3(4(1(2(1(0(0(2(0(4(1(4(2(2(x1))))))))))))))))))))
   0(3(3(2(4(1(0(0(1(2(0(4(3(3(4(4(4(3(1(2(x1)))))))))))))))))))) -> 4(1(2(2(2(2(4(4(2(0(3(2(1(0(4(4(1(4(2(0(x1))))))))))))))))))))
   0(4(2(0(0(3(2(1(0(1(3(1(2(4(4(0(2(3(2(2(x1)))))))))))))))))))) -> 2(1(2(2(3(3(2(0(4(4(3(3(1(0(0(3(4(2(2(4(x1))))))))))))))))))))
   0(4(2(2(0(2(3(3(4(1(3(2(4(0(2(1(1(4(3(2(x1)))))))))))))))))))) -> 2(4(3(3(0(3(1(2(3(3(4(2(0(0(4(2(0(1(2(2(x1))))))))))))))))))))
   0(4(4(2(3(2(1(2(2(1(4(1(1(1(4(2(2(1(2(0(x1)))))))))))))))))))) -> 3(0(0(1(4(1(2(3(3(4(2(1(1(3(2(2(1(3(2(4(x1))))))))))))))))))))
   1(0(0(1(2(3(4(2(0(4(4(2(2(4(1(2(2(2(4(4(x1)))))))))))))))))))) -> 2(4(3(0(2(0(3(1(2(1(1(2(2(3(0(2(4(3(1(3(x1))))))))))))))))))))
   1(0(0(3(1(4(2(1(2(2(2(2(2(3(0(1(4(2(0(4(x1)))))))))))))))))))) -> 2(4(4(0(3(3(0(3(3(3(2(4(2(2(0(0(0(0(3(3(x1))))))))))))))))))))
   1(0(0(4(0(0(2(3(2(2(3(3(1(3(4(3(2(2(1(1(x1)))))))))))))))))))) -> 1(2(2(2(0(0(2(2(3(0(4(4(2(1(4(2(2(2(4(1(x1))))))))))))))))))))
   1(0(2(1(1(1(2(0(0(2(1(3(3(3(1(4(1(0(0(1(x1)))))))))))))))))))) -> 2(2(1(0(1(4(3(2(3(0(0(0(4(3(2(1(1(2(0(2(x1))))))))))))))))))))
   1(0(4(0(1(3(0(2(3(2(1(2(3(2(4(2(4(3(4(2(x1)))))))))))))))))))) -> 2(3(0(2(0(2(2(2(3(4(1(0(2(3(1(2(1(2(4(2(x1))))))))))))))))))))
   1(1(0(0(1(3(2(4(3(1(4(0(4(1(2(2(2(3(3(2(x1)))))))))))))))))))) -> 3(1(4(3(1(0(3(4(0(3(2(2(4(0(2(3(3(2(2(0(x1))))))))))))))))))))
   1(1(1(1(2(4(4(3(0(2(3(3(1(3(0(1(4(2(2(3(x1)))))))))))))))))))) -> 3(4(2(1(1(0(1(2(1(4(4(2(3(3(4(2(1(2(3(2(x1))))))))))))))))))))
   1(1(2(0(4(1(3(1(2(2(0(4(0(2(3(4(4(0(2(3(x1)))))))))))))))))))) -> 1(0(2(2(4(0(3(1(0(0(3(0(2(1(1(2(2(3(1(0(x1))))))))))))))))))))
   1(1(2(1(3(4(0(2(2(3(3(3(3(0(1(0(4(3(0(2(x1)))))))))))))))))))) -> 3(2(1(4(2(2(3(4(2(3(1(4(2(3(0(3(3(4(0(3(x1))))))))))))))))))))
   1(1(3(3(1(1(3(2(3(2(0(4(2(0(2(1(1(0(4(1(x1)))))))))))))))))))) -> 2(3(4(2(0(0(0(0(3(1(2(2(4(1(2(3(1(0(4(4(x1))))))))))))))))))))
   1(3(1(4(0(1(4(3(0(4(2(1(0(0(1(2(3(2(2(3(x1)))))))))))))))))))) -> 0(4(0(3(0(3(0(3(2(0(1(0(0(2(1(3(2(1(2(0(x1))))))))))))))))))))
   1(3(2(3(1(0(3(3(0(1(2(0(2(2(2(0(1(3(1(0(x1)))))))))))))))))))) -> 3(3(4(3(1(2(2(4(4(0(2(2(2(2(0(0(2(0(1(4(x1))))))))))))))))))))
   1(3(3(4(4(2(3(1(3(3(0(3(4(2(2(4(2(2(4(4(x1)))))))))))))))))))) -> 0(4(2(4(3(3(2(1(4(2(4(4(3(2(2(3(1(2(2(0(x1))))))))))))))))))))
   1(4(4(2(3(1(2(3(3(1(0(1(3(2(1(2(1(2(2(2(x1)))))))))))))))))))) -> 2(0(2(0(2(0(2(0(4(2(4(2(3(2(3(1(2(2(2(1(x1))))))))))))))))))))
   2(0(0(0(2(2(3(1(3(1(0(4(3(3(0(2(4(1(0(3(x1)))))))))))))))))))) -> 4(0(3(4(3(4(0(0(2(2(2(1(2(2(2(1(1(2(0(4(x1))))))))))))))))))))
   2(0(0(0(3(1(0(2(4(2(2(2(4(0(4(0(1(0(3(4(x1)))))))))))))))))))) -> 1(4(2(4(4(4(4(3(2(4(4(3(2(2(0(0(4(1(2(2(x1))))))))))))))))))))
   2(0(2(1(1(0(1(0(2(2(0(1(2(0(2(4(0(1(2(0(x1)))))))))))))))))))) -> 3(0(2(4(1(2(0(4(2(1(3(0(2(3(4(2(3(3(4(0(x1))))))))))))))))))))
   2(0(2(4(2(2(2(4(3(0(0(1(0(1(0(3(0(3(2(4(x1)))))))))))))))))))) -> 0(3(0(2(2(0(2(1(3(2(3(3(0(2(0(4(3(3(3(2(x1))))))))))))))))))))
   2(0(3(2(0(3(2(4(1(2(3(1(4(1(3(3(3(0(1(3(x1)))))))))))))))))))) -> 3(0(3(2(1(1(1(3(4(0(3(2(0(2(2(3(2(0(3(2(x1))))))))))))))))))))
   2(0(3(4(1(2(0(2(3(3(1(2(0(1(2(0(4(4(4(2(x1)))))))))))))))))))) -> 2(2(2(4(3(2(0(1(4(1(2(3(0(3(1(3(3(1(2(4(x1))))))))))))))))))))
   2(0(4(2(1(3(4(4(2(1(0(3(2(1(3(2(1(4(2(4(x1)))))))))))))))))))) -> 0(2(4(2(2(2(0(2(4(3(3(2(3(3(4(1(0(3(0(4(x1))))))))))))))))))))
   2(0(4(2(2(3(4(0(1(0(3(2(1(3(0(3(1(1(3(0(x1)))))))))))))))))))) -> 0(3(0(1(2(2(2(0(0(3(3(2(1(1(0(4(2(1(2(4(x1))))))))))))))))))))
   2(1(3(2(2(0(4(4(0(4(1(2(3(3(0(2(1(4(4(4(x1)))))))))))))))))))) -> 4(3(2(3(2(2(2(1(4(1(2(2(0(1(1(1(0(0(3(4(x1))))))))))))))))))))
   2(1(3(4(1(0(3(2(0(3(0(1(1(4(0(0(2(4(4(1(x1)))))))))))))))))))) -> 3(0(3(2(1(4(1(4(0(0(2(2(0(1(1(0(4(1(2(1(x1))))))))))))))))))))
   2(1(4(1(3(4(3(2(2(0(1(0(2(1(0(3(4(2(4(2(x1)))))))))))))))))))) -> 4(2(2(2(3(3(4(1(4(0(2(3(2(1(0(3(2(3(3(4(x1))))))))))))))))))))
   2(1(4(4(0(1(2(0(2(3(0(2(1(2(3(0(2(3(1(3(x1)))))))))))))))))))) -> 0(3(2(3(2(3(0(2(2(0(2(3(1(3(3(3(1(2(4(2(x1))))))))))))))))))))
   2(3(0(1(3(3(4(2(1(4(4(2(3(1(1(1(2(3(0(2(x1)))))))))))))))))))) -> 2(2(3(0(4(4(0(0(1(3(3(0(4(3(4(2(2(4(3(2(x1))))))))))))))))))))
   2(3(1(1(3(2(1(1(1(3(2(3(4(2(2(3(4(3(3(0(x1)))))))))))))))))))) -> 0(4(4(2(4(0(2(3(2(0(2(1(2(4(4(3(2(3(2(2(x1))))))))))))))))))))
   2(3(1(2(3(3(3(1(1(1(0(1(2(4(0(4(2(1(2(2(x1)))))))))))))))))))) -> 2(2(0(1(4(3(2(2(4(3(0(2(4(3(2(0(0(1(0(2(x1))))))))))))))))))))
   2(3(3(3(0(0(1(0(2(4(3(1(1(3(2(1(2(2(2(1(x1)))))))))))))))))))) -> 3(4(2(2(0(0(0(0(2(4(2(3(2(0(3(2(3(0(2(3(x1))))))))))))))))))))
   2(3(4(0(0(4(3(3(2(3(4(0(2(0(4(4(0(2(4(2(x1)))))))))))))))))))) -> 1(3(1(3(3(2(0(2(2(3(0(1(2(2(2(4(1(2(1(1(x1))))))))))))))))))))
   2(3(4(4(4(3(0(0(2(3(4(3(0(4(3(0(1(2(4(2(x1)))))))))))))))))))) -> 3(3(2(0(4(0(2(4(2(3(2(2(4(4(0(4(0(3(4(1(x1))))))))))))))))))))
   2(4(0(0(3(2(2(2(1(1(4(0(1(2(2(3(4(2(3(4(x1)))))))))))))))))))) -> 3(1(3(2(2(4(0(3(2(1(0(0(2(3(3(3(2(3(4(3(x1))))))))))))))))))))
   2(4(0(0(4(2(1(3(3(3(2(0(4(1(4(0(2(1(3(2(x1)))))))))))))))))))) -> 0(4(2(4(0(3(2(1(2(4(2(2(3(1(0(1(2(3(3(2(x1))))))))))))))))))))
   2(4(0(3(1(2(1(1(2(0(2(2(0(3(2(1(1(0(1(3(x1)))))))))))))))))))) -> 2(3(3(1(3(1(2(1(1(0(2(0(0(2(3(3(0(3(3(3(x1))))))))))))))))))))
   2(4(1(3(2(2(1(4(2(1(1(1(2(2(2(0(3(0(2(4(x1)))))))))))))))))))) -> 3(3(1(4(3(2(3(2(2(3(2(1(1(0(3(3(3(4(0(2(x1))))))))))))))))))))
   2(4(2(2(1(1(2(3(0(1(0(0(3(2(1(0(0(1(0(2(x1)))))))))))))))))))) -> 2(2(2(3(3(4(1(4(3(0(0(2(0(1(1(2(3(0(2(4(x1))))))))))))))))))))
   2(4(2(2(1(2(4(2(3(0(1(0(2(1(2(0(0(0(4(0(x1)))))))))))))))))))) -> 2(3(0(2(0(3(0(2(1(0(4(2(2(1(3(1(3(0(4(3(x1))))))))))))))))))))
   2(4(3(2(0(2(4(1(2(0(4(1(2(3(1(2(3(4(1(1(x1)))))))))))))))))))) -> 2(0(1(1(2(2(4(3(2(2(1(3(0(1(2(3(0(4(4(4(x1))))))))))))))))))))
   2(4(3(2(2(4(0(3(2(4(3(1(0(4(4(3(3(2(2(1(x1)))))))))))))))))))) -> 3(4(3(0(2(2(2(4(3(2(0(3(0(3(2(0(3(0(4(2(x1))))))))))))))))))))
   2(4(4(4(2(2(2(0(4(3(4(3(4(2(3(1(4(3(1(3(x1)))))))))))))))))))) -> 2(3(4(2(1(1(1(3(2(3(0(2(4(1(2(0(2(1(1(4(x1))))))))))))))))))))
   3(0(0(1(0(2(3(3(2(0(2(1(1(0(4(3(2(0(4(2(x1)))))))))))))))))))) -> 1(0(0(2(1(4(4(0(2(3(0(2(4(4(2(3(2(4(0(2(x1))))))))))))))))))))
   3(0(1(0(2(2(3(1(2(1(1(1(0(0(2(2(1(3(1(3(x1)))))))))))))))))))) -> 3(1(4(1(2(1(0(3(2(0(0(1(0(2(4(0(2(2(3(2(x1))))))))))))))))))))
   3(0(1(3(2(0(1(3(4(2(3(1(2(2(1(2(3(1(3(1(x1)))))))))))))))))))) -> 2(3(2(3(0(2(1(2(2(4(3(3(3(2(1(0(1(3(2(2(x1))))))))))))))))))))
   3(0(1(4(2(2(3(4(4(3(0(2(1(4(1(0(1(0(2(3(x1)))))))))))))))))))) -> 4(2(0(4(1(1(2(0(2(4(0(3(4(4(3(2(0(3(3(2(x1))))))))))))))))))))
   3(0(1(4(3(1(2(0(3(2(3(2(2(0(2(2(3(1(2(2(x1)))))))))))))))))))) -> 0(2(2(3(0(2(0(3(1(3(1(2(2(2(3(2(2(0(4(2(x1))))))))))))))))))))
   3(0(2(4(0(4(0(1(2(1(4(3(0(4(3(0(3(3(3(2(x1)))))))))))))))))))) -> 1(0(4(3(1(4(2(3(3(4(3(0(0(2(2(3(4(0(4(2(x1))))))))))))))))))))
   3(0(3(2(0(0(2(2(3(0(0(4(3(4(2(4(2(3(3(3(x1)))))))))))))))))))) -> 3(0(0(1(3(2(2(2(3(3(2(0(1(2(3(3(4(2(2(4(x1))))))))))))))))))))
   3(1(0(3(2(2(1(1(4(4(0(2(2(4(3(2(2(3(4(2(x1)))))))))))))))))))) -> 2(0(4(3(3(2(2(2(4(0(4(3(2(2(2(0(3(0(4(2(x1))))))))))))))))))))
   3(1(1(0(0(2(2(4(2(2(2(2(1(2(2(1(1(1(1(4(x1)))))))))))))))))))) -> 4(2(1(4(1(3(2(2(4(4(2(3(3(3(3(2(4(3(2(3(x1))))))))))))))))))))
   3(1(1(1(2(0(1(3(3(2(1(3(4(1(2(2(3(3(2(3(x1)))))))))))))))))))) -> 2(3(2(2(4(3(4(2(3(1(2(2(4(2(3(0(4(3(0(3(x1))))))))))))))))))))
   3(1(4(3(4(2(1(1(1(4(3(1(3(2(2(4(2(2(1(1(x1)))))))))))))))))))) -> 2(1(2(4(2(4(1(4(2(1(4(0(0(1(2(3(3(2(1(3(x1))))))))))))))))))))
   3(2(0(3(2(4(4(2(2(2(0(1(2(2(3(4(0(2(4(1(x1)))))))))))))))))))) -> 0(0(2(3(0(2(1(2(2(2(3(2(1(3(4(3(4(2(2(2(x1))))))))))))))))))))
   3(2(0(3(4(4(4(1(0(2(2(1(4(0(0(4(3(2(3(1(x1)))))))))))))))))))) -> 0(4(0(3(4(2(0(3(1(3(3(1(1(0(3(2(2(3(0(3(x1))))))))))))))))))))
   3(2(2(3(4(3(2(2(0(4(1(4(3(4(2(1(4(1(0(2(x1)))))))))))))))))))) -> 2(1(3(3(3(2(2(4(0(4(0(4(2(0(2(1(3(3(3(3(x1))))))))))))))))))))
   3(2(3(2(2(0(0(4(1(0(0(4(0(3(3(2(2(1(0(3(x1)))))))))))))))))))) -> 1(3(1(2(0(4(0(3(2(4(3(0(2(1(2(2(1(2(2(3(x1))))))))))))))))))))
   3(3(0(4(4(1(0(2(3(2(1(2(2(3(3(1(0(2(4(1(x1)))))))))))))))))))) -> 4(2(1(2(3(3(3(3(0(2(0(3(0(2(3(1(2(1(1(0(x1))))))))))))))))))))
   3(3(1(0(2(4(2(3(1(0(2(4(4(4(0(0(2(1(1(2(x1)))))))))))))))))))) -> 2(4(2(3(2(3(4(0(4(2(4(3(1(0(1(2(0(3(2(0(x1))))))))))))))))))))
   3(3(2(4(3(0(2(1(4(3(3(4(4(1(1(4(3(3(2(2(x1)))))))))))))))))))) -> 4(1(2(3(2(0(3(3(0(3(2(3(1(1(2(0(1(0(2(2(x1))))))))))))))))))))
   3(3(3(0(2(0(2(2(1(0(0(4(4(2(0(2(3(0(2(4(x1)))))))))))))))))))) -> 2(3(3(2(4(3(4(2(3(3(1(0(1(2(4(3(0(3(3(2(x1))))))))))))))))))))
   3(4(2(1(4(1(0(2(4(3(3(4(3(3(1(2(2(3(3(3(x1)))))))))))))))))))) -> 4(2(0(1(2(0(2(0(0(2(1(4(0(3(2(2(3(2(2(4(x1))))))))))))))))))))
   3(4(4(4(3(1(4(3(0(2(2(0(4(4(1(3(3(3(2(2(x1)))))))))))))))))))) -> 4(2(2(3(0(0(3(1(1(1(4(4(3(0(3(2(1(0(2(2(x1))))))))))))))))))))
   4(0(0(0(0(4(2(1(1(1(1(3(2(4(0(0(3(2(4(1(x1)))))))))))))))))))) -> 2(1(2(2(0(2(4(3(1(0(4(1(4(0(3(4(1(3(4(4(x1))))))))))))))))))))
   4(0(2(2(4(3(1(3(4(0(0(0(2(2(2(3(0(4(2(4(x1)))))))))))))))))))) -> 2(1(3(3(4(4(1(0(3(2(2(3(0(0(4(3(3(4(2(2(x1))))))))))))))))))))
   4(0(2(3(1(1(2(3(1(1(2(0(4(3(0(2(3(2(3(3(x1)))))))))))))))))))) -> 2(2(4(2(2(3(0(2(4(2(3(1(3(2(2(3(4(1(0(2(x1))))))))))))))))))))
   4(0(3(2(0(3(3(2(3(1(4(3(2(2(3(1(3(1(0(4(x1)))))))))))))))))))) -> 0(0(0(2(1(3(3(4(2(4(3(3(2(4(2(3(3(0(0(3(x1))))))))))))))))))))
   4(0(4(2(2(3(3(2(2(1(2(1(0(1(0(3(2(1(2(0(x1)))))))))))))))))))) -> 1(1(2(2(0(0(4(4(2(3(3(3(2(2(2(0(3(0(0(2(x1))))))))))))))))))))
   4(1(1(1(4(2(4(2(0(2(3(3(1(3(0(2(2(0(0(3(x1)))))))))))))))))))) -> 0(4(2(1(2(2(2(0(4(2(3(3(0(2(1(4(0(1(4(2(x1))))))))))))))))))))
   4(1(2(3(2(0(0(1(0(2(3(1(3(2(3(1(0(1(4(2(x1)))))))))))))))))))) -> 1(1(1(0(2(3(0(3(3(2(4(3(3(2(0(2(1(2(3(3(x1))))))))))))))))))))
   4(1(4(3(1(0(4(4(1(3(3(2(2(1(2(2(3(2(0(0(x1)))))))))))))))))))) -> 2(2(4(4(3(3(2(1(4(4(3(2(3(4(1(2(1(1(3(0(x1))))))))))))))))))))
   4(2(3(0(2(2(4(0(0(3(1(2(0(4(2(0(2(3(3(0(x1)))))))))))))))))))) -> 2(2(2(2(4(0(3(0(4(1(2(2(1(3(3(2(0(3(1(0(x1))))))))))))))))))))
   4(2(3(2(2(0(0(4(0(2(0(1(3(0(2(1(0(1(2(4(x1)))))))))))))))))))) -> 1(0(2(0(4(3(4(3(0(3(2(2(4(0(2(1(2(2(4(2(x1))))))))))))))))))))
   4(2(4(0(2(3(1(0(2(1(2(2(4(1(4(3(1(0(3(2(x1)))))))))))))))))))) -> 1(3(0(2(3(2(0(0(0(3(3(2(4(4(3(3(2(4(3(0(x1))))))))))))))))))))
   4(3(0(3(2(0(2(2(3(1(0(2(0(0(2(3(1(3(4(4(x1)))))))))))))))))))) -> 1(4(0(3(3(2(2(2(0(2(3(1(2(3(3(0(3(1(0(1(x1))))))))))))))))))))
   4(3(0(3(4(3(3(0(1(3(2(3(3(4(3(0(0(3(4(2(x1)))))))))))))))))))) -> 1(1(0(4(0(0(0(2(4(0(2(2(3(2(3(3(0(4(3(2(x1))))))))))))))))))))
   4(3(2(0(0(3(4(2(0(3(0(1(0(1(1(4(0(2(2(4(x1)))))))))))))))))))) -> 4(1(2(2(4(4(2(1(4(3(2(0(0(0(2(4(1(2(0(3(x1))))))))))))))))))))
   4(3(3(3(0(2(1(2(2(3(2(0(1(1(4(1(3(4(2(4(x1)))))))))))))))))))) -> 3(4(1(3(3(2(1(2(1(1(0(2(2(0(0(1(1(2(3(2(x1))))))))))))))))))))
   4(4(0(3(0(1(3(2(2(2(3(1(0(2(3(3(0(2(4(4(x1)))))))))))))))))))) -> 2(1(3(2(2(2(4(0(3(2(2(2(2(2(0(3(0(2(0(3(x1))))))))))))))))))))
   4(4(0(3(0(4(2(4(2(3(0(2(2(0(4(3(3(4(2(2(x1)))))))))))))))))))) -> 2(3(3(1(0(2(2(3(1(4(0(0(1(2(2(0(4(4(2(2(x1))))))))))))))))))))
   4(4(2(2(0(0(3(0(3(1(2(3(3(1(2(2(2(4(4(4(x1)))))))))))))))))))) -> 4(2(3(0(2(2(0(2(2(4(3(1(1(4(4(2(4(2(3(3(x1))))))))))))))))))))
   4(4(4(1(3(3(4(4(2(2(0(1(0(2(4(3(2(2(0(2(x1)))))))))))))))))))) -> 4(3(2(3(2(2(0(0(1(3(4(2(2(2(4(4(1(2(0(2(x1))))))))))))))))))))
   4(4(4(4(3(2(0(3(2(4(2(4(1(2(1(4(2(3(0(0(x1)))))))))))))))))))) -> 3(4(2(3(3(2(2(1(3(4(2(3(1(4(4(3(1(1(3(3(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(2(2(3(3(2(0(0(0(4(2(0(1(2(4(2(x1)))))))))))))))))))) -> 1(1(1(3(0(3(0(2(3(2(2(4(1(2(3(4(1(2(2(4(x1))))))))))))))))))))
0(0(0(2(1(1(2(2(1(3(0(0(4(3(4(3(4(1(2(1(x1)))))))))))))))))))) -> 0(0(0(1(2(2(2(0(4(1(4(1(2(4(3(3(1(0(3(3(x1))))))))))))))))))))
0(0(2(1(0(3(1(3(1(3(3(3(2(4(0(0(1(2(0(4(x1)))))))))))))))))))) -> 4(4(1(4(4(3(2(1(1(0(2(2(1(2(1(0(3(4(2(2(x1))))))))))))))))))))
0(0(2(3(1(4(2(1(4(2(0(1(4(2(2(1(1(2(4(4(x1)))))))))))))))))))) -> 1(1(2(3(3(4(4(4(2(3(2(2(1(2(0(1(2(0(4(4(x1))))))))))))))))))))
0(1(2(0(1(4(4(0(3(0(2(3(0(0(3(3(0(2(3(2(x1)))))))))))))))))))) -> 1(3(3(2(4(2(1(2(1(2(0(2(0(3(2(2(4(0(3(3(x1))))))))))))))))))))
0(1(4(2(2(0(3(2(0(4(1(3(2(0(0(3(2(3(0(2(x1)))))))))))))))))))) -> 2(4(2(1(2(2(3(0(2(0(1(2(2(0(1(2(0(0(4(2(x1))))))))))))))))))))
0(1(4(3(2(3(0(1(2(4(0(3(4(2(0(0(3(2(4(2(x1)))))))))))))))))))) -> 2(1(3(0(0(1(4(3(1(3(2(2(2(1(3(0(2(0(0(2(x1))))))))))))))))))))
0(2(1(1(2(1(4(1(2(2(4(0(0(3(3(3(2(2(1(0(x1)))))))))))))))))))) -> 4(3(3(0(2(3(4(2(4(1(2(1(4(3(4(3(3(2(2(3(x1))))))))))))))))))))
0(2(1(3(0(0(4(4(4(0(0(3(2(1(2(4(0(1(2(2(x1)))))))))))))))))))) -> 0(4(0(0(2(3(0(4(1(2(3(0(3(0(1(4(2(2(3(3(x1))))))))))))))))))))
0(2(2(1(2(0(3(1(2(2(4(1(2(0(2(4(0(1(0(3(x1)))))))))))))))))))) -> 2(4(3(0(3(0(2(3(0(4(2(2(2(3(3(2(4(3(1(1(x1))))))))))))))))))))
0(2(3(0(4(2(3(1(3(4(0(3(4(2(1(3(2(3(4(0(x1)))))))))))))))))))) -> 4(1(2(0(3(0(1(2(3(0(2(1(3(2(0(3(0(2(4(0(x1))))))))))))))))))))
0(2(4(2(1(2(3(0(1(2(0(3(0(4(1(0(2(0(2(0(x1)))))))))))))))))))) -> 3(2(3(1(0(1(2(0(2(2(3(2(0(4(4(2(0(4(4(2(x1))))))))))))))))))))
0(3(2(0(4(2(0(1(1(3(2(3(4(4(1(2(4(2(4(2(x1)))))))))))))))))))) -> 2(2(4(3(4(2(3(4(1(2(1(0(0(2(0(4(1(4(2(2(x1))))))))))))))))))))
0(3(3(2(4(1(0(0(1(2(0(4(3(3(4(4(4(3(1(2(x1)))))))))))))))))))) -> 4(1(2(2(2(2(4(4(2(0(3(2(1(0(4(4(1(4(2(0(x1))))))))))))))))))))
0(4(2(0(0(3(2(1(0(1(3(1(2(4(4(0(2(3(2(2(x1)))))))))))))))))))) -> 2(1(2(2(3(3(2(0(4(4(3(3(1(0(0(3(4(2(2(4(x1))))))))))))))))))))
0(4(2(2(0(2(3(3(4(1(3(2(4(0(2(1(1(4(3(2(x1)))))))))))))))))))) -> 2(4(3(3(0(3(1(2(3(3(4(2(0(0(4(2(0(1(2(2(x1))))))))))))))))))))
0(4(4(2(3(2(1(2(2(1(4(1(1(1(4(2(2(1(2(0(x1)))))))))))))))))))) -> 3(0(0(1(4(1(2(3(3(4(2(1(1(3(2(2(1(3(2(4(x1))))))))))))))))))))
1(0(0(1(2(3(4(2(0(4(4(2(2(4(1(2(2(2(4(4(x1)))))))))))))))))))) -> 2(4(3(0(2(0(3(1(2(1(1(2(2(3(0(2(4(3(1(3(x1))))))))))))))))))))
1(0(0(3(1(4(2(1(2(2(2(2(2(3(0(1(4(2(0(4(x1)))))))))))))))))))) -> 2(4(4(0(3(3(0(3(3(3(2(4(2(2(0(0(0(0(3(3(x1))))))))))))))))))))
1(0(0(4(0(0(2(3(2(2(3(3(1(3(4(3(2(2(1(1(x1)))))))))))))))))))) -> 1(2(2(2(0(0(2(2(3(0(4(4(2(1(4(2(2(2(4(1(x1))))))))))))))))))))
1(0(2(1(1(1(2(0(0(2(1(3(3(3(1(4(1(0(0(1(x1)))))))))))))))))))) -> 2(2(1(0(1(4(3(2(3(0(0(0(4(3(2(1(1(2(0(2(x1))))))))))))))))))))
1(0(4(0(1(3(0(2(3(2(1(2(3(2(4(2(4(3(4(2(x1)))))))))))))))))))) -> 2(3(0(2(0(2(2(2(3(4(1(0(2(3(1(2(1(2(4(2(x1))))))))))))))))))))
1(1(0(0(1(3(2(4(3(1(4(0(4(1(2(2(2(3(3(2(x1)))))))))))))))))))) -> 3(1(4(3(1(0(3(4(0(3(2(2(4(0(2(3(3(2(2(0(x1))))))))))))))))))))
1(1(1(1(2(4(4(3(0(2(3(3(1(3(0(1(4(2(2(3(x1)))))))))))))))))))) -> 3(4(2(1(1(0(1(2(1(4(4(2(3(3(4(2(1(2(3(2(x1))))))))))))))))))))
1(1(2(0(4(1(3(1(2(2(0(4(0(2(3(4(4(0(2(3(x1)))))))))))))))))))) -> 1(0(2(2(4(0(3(1(0(0(3(0(2(1(1(2(2(3(1(0(x1))))))))))))))))))))
1(1(2(1(3(4(0(2(2(3(3(3(3(0(1(0(4(3(0(2(x1)))))))))))))))))))) -> 3(2(1(4(2(2(3(4(2(3(1(4(2(3(0(3(3(4(0(3(x1))))))))))))))))))))
1(1(3(3(1(1(3(2(3(2(0(4(2(0(2(1(1(0(4(1(x1)))))))))))))))))))) -> 2(3(4(2(0(0(0(0(3(1(2(2(4(1(2(3(1(0(4(4(x1))))))))))))))))))))
1(3(1(4(0(1(4(3(0(4(2(1(0(0(1(2(3(2(2(3(x1)))))))))))))))))))) -> 0(4(0(3(0(3(0(3(2(0(1(0(0(2(1(3(2(1(2(0(x1))))))))))))))))))))
1(3(2(3(1(0(3(3(0(1(2(0(2(2(2(0(1(3(1(0(x1)))))))))))))))))))) -> 3(3(4(3(1(2(2(4(4(0(2(2(2(2(0(0(2(0(1(4(x1))))))))))))))))))))
1(3(3(4(4(2(3(1(3(3(0(3(4(2(2(4(2(2(4(4(x1)))))))))))))))))))) -> 0(4(2(4(3(3(2(1(4(2(4(4(3(2(2(3(1(2(2(0(x1))))))))))))))))))))
1(4(4(2(3(1(2(3(3(1(0(1(3(2(1(2(1(2(2(2(x1)))))))))))))))))))) -> 2(0(2(0(2(0(2(0(4(2(4(2(3(2(3(1(2(2(2(1(x1))))))))))))))))))))
2(0(0(0(2(2(3(1(3(1(0(4(3(3(0(2(4(1(0(3(x1)))))))))))))))))))) -> 4(0(3(4(3(4(0(0(2(2(2(1(2(2(2(1(1(2(0(4(x1))))))))))))))))))))
2(0(0(0(3(1(0(2(4(2(2(2(4(0(4(0(1(0(3(4(x1)))))))))))))))))))) -> 1(4(2(4(4(4(4(3(2(4(4(3(2(2(0(0(4(1(2(2(x1))))))))))))))))))))
2(0(2(1(1(0(1(0(2(2(0(1(2(0(2(4(0(1(2(0(x1)))))))))))))))))))) -> 3(0(2(4(1(2(0(4(2(1(3(0(2(3(4(2(3(3(4(0(x1))))))))))))))))))))
2(0(2(4(2(2(2(4(3(0(0(1(0(1(0(3(0(3(2(4(x1)))))))))))))))))))) -> 0(3(0(2(2(0(2(1(3(2(3(3(0(2(0(4(3(3(3(2(x1))))))))))))))))))))
2(0(3(2(0(3(2(4(1(2(3(1(4(1(3(3(3(0(1(3(x1)))))))))))))))))))) -> 3(0(3(2(1(1(1(3(4(0(3(2(0(2(2(3(2(0(3(2(x1))))))))))))))))))))
2(0(3(4(1(2(0(2(3(3(1(2(0(1(2(0(4(4(4(2(x1)))))))))))))))))))) -> 2(2(2(4(3(2(0(1(4(1(2(3(0(3(1(3(3(1(2(4(x1))))))))))))))))))))
2(0(4(2(1(3(4(4(2(1(0(3(2(1(3(2(1(4(2(4(x1)))))))))))))))))))) -> 0(2(4(2(2(2(0(2(4(3(3(2(3(3(4(1(0(3(0(4(x1))))))))))))))))))))
2(0(4(2(2(3(4(0(1(0(3(2(1(3(0(3(1(1(3(0(x1)))))))))))))))))))) -> 0(3(0(1(2(2(2(0(0(3(3(2(1(1(0(4(2(1(2(4(x1))))))))))))))))))))
2(1(3(2(2(0(4(4(0(4(1(2(3(3(0(2(1(4(4(4(x1)))))))))))))))))))) -> 4(3(2(3(2(2(2(1(4(1(2(2(0(1(1(1(0(0(3(4(x1))))))))))))))))))))
2(1(3(4(1(0(3(2(0(3(0(1(1(4(0(0(2(4(4(1(x1)))))))))))))))))))) -> 3(0(3(2(1(4(1(4(0(0(2(2(0(1(1(0(4(1(2(1(x1))))))))))))))))))))
2(1(4(1(3(4(3(2(2(0(1(0(2(1(0(3(4(2(4(2(x1)))))))))))))))))))) -> 4(2(2(2(3(3(4(1(4(0(2(3(2(1(0(3(2(3(3(4(x1))))))))))))))))))))
2(1(4(4(0(1(2(0(2(3(0(2(1(2(3(0(2(3(1(3(x1)))))))))))))))))))) -> 0(3(2(3(2(3(0(2(2(0(2(3(1(3(3(3(1(2(4(2(x1))))))))))))))))))))
2(3(0(1(3(3(4(2(1(4(4(2(3(1(1(1(2(3(0(2(x1)))))))))))))))))))) -> 2(2(3(0(4(4(0(0(1(3(3(0(4(3(4(2(2(4(3(2(x1))))))))))))))))))))
2(3(1(1(3(2(1(1(1(3(2(3(4(2(2(3(4(3(3(0(x1)))))))))))))))))))) -> 0(4(4(2(4(0(2(3(2(0(2(1(2(4(4(3(2(3(2(2(x1))))))))))))))))))))
2(3(1(2(3(3(3(1(1(1(0(1(2(4(0(4(2(1(2(2(x1)))))))))))))))))))) -> 2(2(0(1(4(3(2(2(4(3(0(2(4(3(2(0(0(1(0(2(x1))))))))))))))))))))
2(3(3(3(0(0(1(0(2(4(3(1(1(3(2(1(2(2(2(1(x1)))))))))))))))))))) -> 3(4(2(2(0(0(0(0(2(4(2(3(2(0(3(2(3(0(2(3(x1))))))))))))))))))))
2(3(4(0(0(4(3(3(2(3(4(0(2(0(4(4(0(2(4(2(x1)))))))))))))))))))) -> 1(3(1(3(3(2(0(2(2(3(0(1(2(2(2(4(1(2(1(1(x1))))))))))))))))))))
2(3(4(4(4(3(0(0(2(3(4(3(0(4(3(0(1(2(4(2(x1)))))))))))))))))))) -> 3(3(2(0(4(0(2(4(2(3(2(2(4(4(0(4(0(3(4(1(x1))))))))))))))))))))
2(4(0(0(3(2(2(2(1(1(4(0(1(2(2(3(4(2(3(4(x1)))))))))))))))))))) -> 3(1(3(2(2(4(0(3(2(1(0(0(2(3(3(3(2(3(4(3(x1))))))))))))))))))))
2(4(0(0(4(2(1(3(3(3(2(0(4(1(4(0(2(1(3(2(x1)))))))))))))))))))) -> 0(4(2(4(0(3(2(1(2(4(2(2(3(1(0(1(2(3(3(2(x1))))))))))))))))))))
2(4(0(3(1(2(1(1(2(0(2(2(0(3(2(1(1(0(1(3(x1)))))))))))))))))))) -> 2(3(3(1(3(1(2(1(1(0(2(0(0(2(3(3(0(3(3(3(x1))))))))))))))))))))
2(4(1(3(2(2(1(4(2(1(1(1(2(2(2(0(3(0(2(4(x1)))))))))))))))))))) -> 3(3(1(4(3(2(3(2(2(3(2(1(1(0(3(3(3(4(0(2(x1))))))))))))))))))))
2(4(2(2(1(1(2(3(0(1(0(0(3(2(1(0(0(1(0(2(x1)))))))))))))))))))) -> 2(2(2(3(3(4(1(4(3(0(0(2(0(1(1(2(3(0(2(4(x1))))))))))))))))))))
2(4(2(2(1(2(4(2(3(0(1(0(2(1(2(0(0(0(4(0(x1)))))))))))))))))))) -> 2(3(0(2(0(3(0(2(1(0(4(2(2(1(3(1(3(0(4(3(x1))))))))))))))))))))
2(4(3(2(0(2(4(1(2(0(4(1(2(3(1(2(3(4(1(1(x1)))))))))))))))))))) -> 2(0(1(1(2(2(4(3(2(2(1(3(0(1(2(3(0(4(4(4(x1))))))))))))))))))))
2(4(3(2(2(4(0(3(2(4(3(1(0(4(4(3(3(2(2(1(x1)))))))))))))))))))) -> 3(4(3(0(2(2(2(4(3(2(0(3(0(3(2(0(3(0(4(2(x1))))))))))))))))))))
2(4(4(4(2(2(2(0(4(3(4(3(4(2(3(1(4(3(1(3(x1)))))))))))))))))))) -> 2(3(4(2(1(1(1(3(2(3(0(2(4(1(2(0(2(1(1(4(x1))))))))))))))))))))
3(0(0(1(0(2(3(3(2(0(2(1(1(0(4(3(2(0(4(2(x1)))))))))))))))))))) -> 1(0(0(2(1(4(4(0(2(3(0(2(4(4(2(3(2(4(0(2(x1))))))))))))))))))))
3(0(1(0(2(2(3(1(2(1(1(1(0(0(2(2(1(3(1(3(x1)))))))))))))))))))) -> 3(1(4(1(2(1(0(3(2(0(0(1(0(2(4(0(2(2(3(2(x1))))))))))))))))))))
3(0(1(3(2(0(1(3(4(2(3(1(2(2(1(2(3(1(3(1(x1)))))))))))))))))))) -> 2(3(2(3(0(2(1(2(2(4(3(3(3(2(1(0(1(3(2(2(x1))))))))))))))))))))
3(0(1(4(2(2(3(4(4(3(0(2(1(4(1(0(1(0(2(3(x1)))))))))))))))))))) -> 4(2(0(4(1(1(2(0(2(4(0(3(4(4(3(2(0(3(3(2(x1))))))))))))))))))))
3(0(1(4(3(1(2(0(3(2(3(2(2(0(2(2(3(1(2(2(x1)))))))))))))))))))) -> 0(2(2(3(0(2(0(3(1(3(1(2(2(2(3(2(2(0(4(2(x1))))))))))))))))))))
3(0(2(4(0(4(0(1(2(1(4(3(0(4(3(0(3(3(3(2(x1)))))))))))))))))))) -> 1(0(4(3(1(4(2(3(3(4(3(0(0(2(2(3(4(0(4(2(x1))))))))))))))))))))
3(0(3(2(0(0(2(2(3(0(0(4(3(4(2(4(2(3(3(3(x1)))))))))))))))))))) -> 3(0(0(1(3(2(2(2(3(3(2(0(1(2(3(3(4(2(2(4(x1))))))))))))))))))))
3(1(0(3(2(2(1(1(4(4(0(2(2(4(3(2(2(3(4(2(x1)))))))))))))))))))) -> 2(0(4(3(3(2(2(2(4(0(4(3(2(2(2(0(3(0(4(2(x1))))))))))))))))))))
3(1(1(0(0(2(2(4(2(2(2(2(1(2(2(1(1(1(1(4(x1)))))))))))))))))))) -> 4(2(1(4(1(3(2(2(4(4(2(3(3(3(3(2(4(3(2(3(x1))))))))))))))))))))
3(1(1(1(2(0(1(3(3(2(1(3(4(1(2(2(3(3(2(3(x1)))))))))))))))))))) -> 2(3(2(2(4(3(4(2(3(1(2(2(4(2(3(0(4(3(0(3(x1))))))))))))))))))))
3(1(4(3(4(2(1(1(1(4(3(1(3(2(2(4(2(2(1(1(x1)))))))))))))))))))) -> 2(1(2(4(2(4(1(4(2(1(4(0(0(1(2(3(3(2(1(3(x1))))))))))))))))))))
3(2(0(3(2(4(4(2(2(2(0(1(2(2(3(4(0(2(4(1(x1)))))))))))))))))))) -> 0(0(2(3(0(2(1(2(2(2(3(2(1(3(4(3(4(2(2(2(x1))))))))))))))))))))
3(2(0(3(4(4(4(1(0(2(2(1(4(0(0(4(3(2(3(1(x1)))))))))))))))))))) -> 0(4(0(3(4(2(0(3(1(3(3(1(1(0(3(2(2(3(0(3(x1))))))))))))))))))))
3(2(2(3(4(3(2(2(0(4(1(4(3(4(2(1(4(1(0(2(x1)))))))))))))))))))) -> 2(1(3(3(3(2(2(4(0(4(0(4(2(0(2(1(3(3(3(3(x1))))))))))))))))))))
3(2(3(2(2(0(0(4(1(0(0(4(0(3(3(2(2(1(0(3(x1)))))))))))))))))))) -> 1(3(1(2(0(4(0(3(2(4(3(0(2(1(2(2(1(2(2(3(x1))))))))))))))))))))
3(3(0(4(4(1(0(2(3(2(1(2(2(3(3(1(0(2(4(1(x1)))))))))))))))))))) -> 4(2(1(2(3(3(3(3(0(2(0(3(0(2(3(1(2(1(1(0(x1))))))))))))))))))))
3(3(1(0(2(4(2(3(1(0(2(4(4(4(0(0(2(1(1(2(x1)))))))))))))))))))) -> 2(4(2(3(2(3(4(0(4(2(4(3(1(0(1(2(0(3(2(0(x1))))))))))))))))))))
3(3(2(4(3(0(2(1(4(3(3(4(4(1(1(4(3(3(2(2(x1)))))))))))))))))))) -> 4(1(2(3(2(0(3(3(0(3(2(3(1(1(2(0(1(0(2(2(x1))))))))))))))))))))
3(3(3(0(2(0(2(2(1(0(0(4(4(2(0(2(3(0(2(4(x1)))))))))))))))))))) -> 2(3(3(2(4(3(4(2(3(3(1(0(1(2(4(3(0(3(3(2(x1))))))))))))))))))))
3(4(2(1(4(1(0(2(4(3(3(4(3(3(1(2(2(3(3(3(x1)))))))))))))))))))) -> 4(2(0(1(2(0(2(0(0(2(1(4(0(3(2(2(3(2(2(4(x1))))))))))))))))))))
3(4(4(4(3(1(4(3(0(2(2(0(4(4(1(3(3(3(2(2(x1)))))))))))))))))))) -> 4(2(2(3(0(0(3(1(1(1(4(4(3(0(3(2(1(0(2(2(x1))))))))))))))))))))
4(0(0(0(0(4(2(1(1(1(1(3(2(4(0(0(3(2(4(1(x1)))))))))))))))))))) -> 2(1(2(2(0(2(4(3(1(0(4(1(4(0(3(4(1(3(4(4(x1))))))))))))))))))))
4(0(2(2(4(3(1(3(4(0(0(0(2(2(2(3(0(4(2(4(x1)))))))))))))))))))) -> 2(1(3(3(4(4(1(0(3(2(2(3(0(0(4(3(3(4(2(2(x1))))))))))))))))))))
4(0(2(3(1(1(2(3(1(1(2(0(4(3(0(2(3(2(3(3(x1)))))))))))))))))))) -> 2(2(4(2(2(3(0(2(4(2(3(1(3(2(2(3(4(1(0(2(x1))))))))))))))))))))
4(0(3(2(0(3(3(2(3(1(4(3(2(2(3(1(3(1(0(4(x1)))))))))))))))))))) -> 0(0(0(2(1(3(3(4(2(4(3(3(2(4(2(3(3(0(0(3(x1))))))))))))))))))))
4(0(4(2(2(3(3(2(2(1(2(1(0(1(0(3(2(1(2(0(x1)))))))))))))))))))) -> 1(1(2(2(0(0(4(4(2(3(3(3(2(2(2(0(3(0(0(2(x1))))))))))))))))))))
4(1(1(1(4(2(4(2(0(2(3(3(1(3(0(2(2(0(0(3(x1)))))))))))))))))))) -> 0(4(2(1(2(2(2(0(4(2(3(3(0(2(1(4(0(1(4(2(x1))))))))))))))))))))
4(1(2(3(2(0(0(1(0(2(3(1(3(2(3(1(0(1(4(2(x1)))))))))))))))))))) -> 1(1(1(0(2(3(0(3(3(2(4(3(3(2(0(2(1(2(3(3(x1))))))))))))))))))))
4(1(4(3(1(0(4(4(1(3(3(2(2(1(2(2(3(2(0(0(x1)))))))))))))))))))) -> 2(2(4(4(3(3(2(1(4(4(3(2(3(4(1(2(1(1(3(0(x1))))))))))))))))))))
4(2(3(0(2(2(4(0(0(3(1(2(0(4(2(0(2(3(3(0(x1)))))))))))))))))))) -> 2(2(2(2(4(0(3(0(4(1(2(2(1(3(3(2(0(3(1(0(x1))))))))))))))))))))
4(2(3(2(2(0(0(4(0(2(0(1(3(0(2(1(0(1(2(4(x1)))))))))))))))))))) -> 1(0(2(0(4(3(4(3(0(3(2(2(4(0(2(1(2(2(4(2(x1))))))))))))))))))))
4(2(4(0(2(3(1(0(2(1(2(2(4(1(4(3(1(0(3(2(x1)))))))))))))))))))) -> 1(3(0(2(3(2(0(0(0(3(3(2(4(4(3(3(2(4(3(0(x1))))))))))))))))))))
4(3(0(3(2(0(2(2(3(1(0(2(0(0(2(3(1(3(4(4(x1)))))))))))))))))))) -> 1(4(0(3(3(2(2(2(0(2(3(1(2(3(3(0(3(1(0(1(x1))))))))))))))))))))
4(3(0(3(4(3(3(0(1(3(2(3(3(4(3(0(0(3(4(2(x1)))))))))))))))))))) -> 1(1(0(4(0(0(0(2(4(0(2(2(3(2(3(3(0(4(3(2(x1))))))))))))))))))))
4(3(2(0(0(3(4(2(0(3(0(1(0(1(1(4(0(2(2(4(x1)))))))))))))))))))) -> 4(1(2(2(4(4(2(1(4(3(2(0(0(0(2(4(1(2(0(3(x1))))))))))))))))))))
4(3(3(3(0(2(1(2(2(3(2(0(1(1(4(1(3(4(2(4(x1)))))))))))))))))))) -> 3(4(1(3(3(2(1(2(1(1(0(2(2(0(0(1(1(2(3(2(x1))))))))))))))))))))
4(4(0(3(0(1(3(2(2(2(3(1(0(2(3(3(0(2(4(4(x1)))))))))))))))))))) -> 2(1(3(2(2(2(4(0(3(2(2(2(2(2(0(3(0(2(0(3(x1))))))))))))))))))))
4(4(0(3(0(4(2(4(2(3(0(2(2(0(4(3(3(4(2(2(x1)))))))))))))))))))) -> 2(3(3(1(0(2(2(3(1(4(0(0(1(2(2(0(4(4(2(2(x1))))))))))))))))))))
4(4(2(2(0(0(3(0(3(1(2(3(3(1(2(2(2(4(4(4(x1)))))))))))))))))))) -> 4(2(3(0(2(2(0(2(2(4(3(1(1(4(4(2(4(2(3(3(x1))))))))))))))))))))
4(4(4(1(3(3(4(4(2(2(0(1(0(2(4(3(2(2(0(2(x1)))))))))))))))))))) -> 4(3(2(3(2(2(0(0(1(3(4(2(2(2(4(4(1(2(0(2(x1))))))))))))))))))))
4(4(4(4(3(2(0(3(2(4(2(4(1(2(1(4(2(3(0(0(x1)))))))))))))))))))) -> 3(4(2(3(3(2(2(1(3(4(2(3(1(4(4(3(1(1(3(3(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 :: 2:4:1:0:3:encArg:encode_0:encode_1:encode_2:encode_3:encode_4 -> 2:4:1:0:3:encArg:encode_0:encode_1:encode_2:encode_3:encode_4
1 :: 2:4:1:0:3:encArg:encode_0:encode_1:encode_2:encode_3:encode_4 -> 2:4:1:0:3:encArg:encode_0:encode_1:encode_2:encode_3:encode_4
2 :: 2:4:1:0:3:encArg:encode_0:encode_1:encode_2:encode_3:encode_4 -> 2:4:1:0:3:encArg:encode_0:encode_1:encode_2:encode_3:encode_4
3 :: 2:4:1:0:3:encArg:encode_0:encode_1:encode_2:encode_3:encode_4 -> 2:4:1:0:3:encArg:encode_0:encode_1:encode_2:encode_3:encode_4
4 :: 2:4:1:0:3:encArg:encode_0:encode_1:encode_2:encode_3:encode_4 -> 2:4:1:0:3:encArg:encode_0:encode_1:encode_2:encode_3:encode_4
encArg :: cons_0:cons_1:cons_2:cons_3:cons_4 -> 2:4:1:0:3: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 -> 2:4:1:0:3:encArg:encode_0:encode_1:encode_2:encode_3:encode_4
encode_1 :: cons_0:cons_1:cons_2:cons_3:cons_4 -> 2:4:1:0:3:encArg:encode_0:encode_1:encode_2:encode_3:encode_4
encode_2 :: cons_0:cons_1:cons_2:cons_3:cons_4 -> 2:4:1:0:3:encArg:encode_0:encode_1:encode_2:encode_3:encode_4
encode_3 :: cons_0:cons_1:cons_2:cons_3:cons_4 -> 2:4:1:0:3:encArg:encode_0:encode_1:encode_2:encode_3:encode_4
encode_4 :: cons_0:cons_1:cons_2:cons_3:cons_4 -> 2:4:1:0:3:encArg:encode_0:encode_1:encode_2:encode_3:encode_4
hole_2:4:1:0:3:encArg:encode_0:encode_1:encode_2:encode_3:encode_41_5 :: 2:4:1:0:3: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, 1, 3, 2, 4, encArg

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

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

(12)
Obligation:
TRS:
Rules:
0(0(0(0(1(2(2(3(3(2(0(0(0(4(2(0(1(2(4(2(x1)))))))))))))))))))) -> 1(1(1(3(0(3(0(2(3(2(2(4(1(2(3(4(1(2(2(4(x1))))))))))))))))))))
0(0(0(2(1(1(2(2(1(3(0(0(4(3(4(3(4(1(2(1(x1)))))))))))))))))))) -> 0(0(0(1(2(2(2(0(4(1(4(1(2(4(3(3(1(0(3(3(x1))))))))))))))))))))
0(0(2(1(0(3(1(3(1(3(3(3(2(4(0(0(1(2(0(4(x1)))))))))))))))))))) -> 4(4(1(4(4(3(2(1(1(0(2(2(1(2(1(0(3(4(2(2(x1))))))))))))))))))))
0(0(2(3(1(4(2(1(4(2(0(1(4(2(2(1(1(2(4(4(x1)))))))))))))))))))) -> 1(1(2(3(3(4(4(4(2(3(2(2(1(2(0(1(2(0(4(4(x1))))))))))))))))))))
0(1(2(0(1(4(4(0(3(0(2(3(0(0(3(3(0(2(3(2(x1)))))))))))))))))))) -> 1(3(3(2(4(2(1(2(1(2(0(2(0(3(2(2(4(0(3(3(x1))))))))))))))))))))
0(1(4(2(2(0(3(2(0(4(1(3(2(0(0(3(2(3(0(2(x1)))))))))))))))))))) -> 2(4(2(1(2(2(3(0(2(0(1(2(2(0(1(2(0(0(4(2(x1))))))))))))))))))))
0(1(4(3(2(3(0(1(2(4(0(3(4(2(0(0(3(2(4(2(x1)))))))))))))))))))) -> 2(1(3(0(0(1(4(3(1(3(2(2(2(1(3(0(2(0(0(2(x1))))))))))))))))))))
0(2(1(1(2(1(4(1(2(2(4(0(0(3(3(3(2(2(1(0(x1)))))))))))))))))))) -> 4(3(3(0(2(3(4(2(4(1(2(1(4(3(4(3(3(2(2(3(x1))))))))))))))))))))
0(2(1(3(0(0(4(4(4(0(0(3(2(1(2(4(0(1(2(2(x1)))))))))))))))))))) -> 0(4(0(0(2(3(0(4(1(2(3(0(3(0(1(4(2(2(3(3(x1))))))))))))))))))))
0(2(2(1(2(0(3(1(2(2(4(1(2(0(2(4(0(1(0(3(x1)))))))))))))))))))) -> 2(4(3(0(3(0(2(3(0(4(2(2(2(3(3(2(4(3(1(1(x1))))))))))))))))))))
0(2(3(0(4(2(3(1(3(4(0(3(4(2(1(3(2(3(4(0(x1)))))))))))))))))))) -> 4(1(2(0(3(0(1(2(3(0(2(1(3(2(0(3(0(2(4(0(x1))))))))))))))))))))
0(2(4(2(1(2(3(0(1(2(0(3(0(4(1(0(2(0(2(0(x1)))))))))))))))))))) -> 3(2(3(1(0(1(2(0(2(2(3(2(0(4(4(2(0(4(4(2(x1))))))))))))))))))))
0(3(2(0(4(2(0(1(1(3(2(3(4(4(1(2(4(2(4(2(x1)))))))))))))))))))) -> 2(2(4(3(4(2(3(4(1(2(1(0(0(2(0(4(1(4(2(2(x1))))))))))))))))))))
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4(3(3(3(0(2(1(2(2(3(2(0(1(1(4(1(3(4(2(4(x1)))))))))))))))))))) -> 3(4(1(3(3(2(1(2(1(1(0(2(2(0(0(1(1(2(3(2(x1))))))))))))))))))))
4(4(0(3(0(1(3(2(2(2(3(1(0(2(3(3(0(2(4(4(x1)))))))))))))))))))) -> 2(1(3(2(2(2(4(0(3(2(2(2(2(2(0(3(0(2(0(3(x1))))))))))))))))))))
4(4(0(3(0(4(2(4(2(3(0(2(2(0(4(3(3(4(2(2(x1)))))))))))))))))))) -> 2(3(3(1(0(2(2(3(1(4(0(0(1(2(2(0(4(4(2(2(x1))))))))))))))))))))
4(4(2(2(0(0(3(0(3(1(2(3(3(1(2(2(2(4(4(4(x1)))))))))))))))))))) -> 4(2(3(0(2(2(0(2(2(4(3(1(1(4(4(2(4(2(3(3(x1))))))))))))))))))))
4(4(4(1(3(3(4(4(2(2(0(1(0(2(4(3(2(2(0(2(x1)))))))))))))))))))) -> 4(3(2(3(2(2(0(0(1(3(4(2(2(2(4(4(1(2(0(2(x1))))))))))))))))))))
4(4(4(4(3(2(0(3(2(4(2(4(1(2(1(4(2(3(0(0(x1)))))))))))))))))))) -> 3(4(2(3(3(2(2(1(3(4(2(3(1(4(4(3(1(1(3(3(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 :: 2:4:1:0:3:encArg:encode_0:encode_1:encode_2:encode_3:encode_4 -> 2:4:1:0:3:encArg:encode_0:encode_1:encode_2:encode_3:encode_4
1 :: 2:4:1:0:3:encArg:encode_0:encode_1:encode_2:encode_3:encode_4 -> 2:4:1:0:3:encArg:encode_0:encode_1:encode_2:encode_3:encode_4
2 :: 2:4:1:0:3:encArg:encode_0:encode_1:encode_2:encode_3:encode_4 -> 2:4:1:0:3:encArg:encode_0:encode_1:encode_2:encode_3:encode_4
3 :: 2:4:1:0:3:encArg:encode_0:encode_1:encode_2:encode_3:encode_4 -> 2:4:1:0:3:encArg:encode_0:encode_1:encode_2:encode_3:encode_4
4 :: 2:4:1:0:3:encArg:encode_0:encode_1:encode_2:encode_3:encode_4 -> 2:4:1:0:3:encArg:encode_0:encode_1:encode_2:encode_3:encode_4
encArg :: cons_0:cons_1:cons_2:cons_3:cons_4 -> 2:4:1:0:3: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 -> 2:4:1:0:3:encArg:encode_0:encode_1:encode_2:encode_3:encode_4
encode_1 :: cons_0:cons_1:cons_2:cons_3:cons_4 -> 2:4:1:0:3:encArg:encode_0:encode_1:encode_2:encode_3:encode_4
encode_2 :: cons_0:cons_1:cons_2:cons_3:cons_4 -> 2:4:1:0:3:encArg:encode_0:encode_1:encode_2:encode_3:encode_4
encode_3 :: cons_0:cons_1:cons_2:cons_3:cons_4 -> 2:4:1:0:3:encArg:encode_0:encode_1:encode_2:encode_3:encode_4
encode_4 :: cons_0:cons_1:cons_2:cons_3:cons_4 -> 2:4:1:0:3:encArg:encode_0:encode_1:encode_2:encode_3:encode_4
hole_2:4:1:0:3:encArg:encode_0:encode_1:encode_2:encode_3:encode_41_5 :: 2:4:1:0:3: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:
1, 0, 3, 2, 4, encArg

They will be analysed ascendingly in the following order:
0 = 1
0 = 3
0 = 2
0 = 4
0 < encArg
1 = 3
1 = 2
1 = 4
1 < encArg
3 = 2
3 = 4
3 < encArg
2 = 4
2 < 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(2(2(3(3(2(0(0(0(4(2(0(1(2(4(2(x1)))))))))))))))))))) -> 1(1(1(3(0(3(0(2(3(2(2(4(1(2(3(4(1(2(2(4(x1))))))))))))))))))))
   0(0(0(2(1(1(2(2(1(3(0(0(4(3(4(3(4(1(2(1(x1)))))))))))))))))))) -> 0(0(0(1(2(2(2(0(4(1(4(1(2(4(3(3(1(0(3(3(x1))))))))))))))))))))
   0(0(2(1(0(3(1(3(1(3(3(3(2(4(0(0(1(2(0(4(x1)))))))))))))))))))) -> 4(4(1(4(4(3(2(1(1(0(2(2(1(2(1(0(3(4(2(2(x1))))))))))))))))))))
   0(0(2(3(1(4(2(1(4(2(0(1(4(2(2(1(1(2(4(4(x1)))))))))))))))))))) -> 1(1(2(3(3(4(4(4(2(3(2(2(1(2(0(1(2(0(4(4(x1))))))))))))))))))))
   0(1(2(0(1(4(4(0(3(0(2(3(0(0(3(3(0(2(3(2(x1)))))))))))))))))))) -> 1(3(3(2(4(2(1(2(1(2(0(2(0(3(2(2(4(0(3(3(x1))))))))))))))))))))
   0(1(4(2(2(0(3(2(0(4(1(3(2(0(0(3(2(3(0(2(x1)))))))))))))))))))) -> 2(4(2(1(2(2(3(0(2(0(1(2(2(0(1(2(0(0(4(2(x1))))))))))))))))))))
   0(1(4(3(2(3(0(1(2(4(0(3(4(2(0(0(3(2(4(2(x1)))))))))))))))))))) -> 2(1(3(0(0(1(4(3(1(3(2(2(2(1(3(0(2(0(0(2(x1))))))))))))))))))))
   0(2(1(1(2(1(4(1(2(2(4(0(0(3(3(3(2(2(1(0(x1)))))))))))))))))))) -> 4(3(3(0(2(3(4(2(4(1(2(1(4(3(4(3(3(2(2(3(x1))))))))))))))))))))
   0(2(1(3(0(0(4(4(4(0(0(3(2(1(2(4(0(1(2(2(x1)))))))))))))))))))) -> 0(4(0(0(2(3(0(4(1(2(3(0(3(0(1(4(2(2(3(3(x1))))))))))))))))))))
   0(2(2(1(2(0(3(1(2(2(4(1(2(0(2(4(0(1(0(3(x1)))))))))))))))))))) -> 2(4(3(0(3(0(2(3(0(4(2(2(2(3(3(2(4(3(1(1(x1))))))))))))))))))))
   0(2(3(0(4(2(3(1(3(4(0(3(4(2(1(3(2(3(4(0(x1)))))))))))))))))))) -> 4(1(2(0(3(0(1(2(3(0(2(1(3(2(0(3(0(2(4(0(x1))))))))))))))))))))
   0(2(4(2(1(2(3(0(1(2(0(3(0(4(1(0(2(0(2(0(x1)))))))))))))))))))) -> 3(2(3(1(0(1(2(0(2(2(3(2(0(4(4(2(0(4(4(2(x1))))))))))))))))))))
   0(3(2(0(4(2(0(1(1(3(2(3(4(4(1(2(4(2(4(2(x1)))))))))))))))))))) -> 2(2(4(3(4(2(3(4(1(2(1(0(0(2(0(4(1(4(2(2(x1))))))))))))))))))))
   0(3(3(2(4(1(0(0(1(2(0(4(3(3(4(4(4(3(1(2(x1)))))))))))))))))))) -> 4(1(2(2(2(2(4(4(2(0(3(2(1(0(4(4(1(4(2(0(x1))))))))))))))))))))
   0(4(2(0(0(3(2(1(0(1(3(1(2(4(4(0(2(3(2(2(x1)))))))))))))))))))) -> 2(1(2(2(3(3(2(0(4(4(3(3(1(0(0(3(4(2(2(4(x1))))))))))))))))))))
   0(4(2(2(0(2(3(3(4(1(3(2(4(0(2(1(1(4(3(2(x1)))))))))))))))))))) -> 2(4(3(3(0(3(1(2(3(3(4(2(0(0(4(2(0(1(2(2(x1))))))))))))))))))))
   0(4(4(2(3(2(1(2(2(1(4(1(1(1(4(2(2(1(2(0(x1)))))))))))))))))))) -> 3(0(0(1(4(1(2(3(3(4(2(1(1(3(2(2(1(3(2(4(x1))))))))))))))))))))
   1(0(0(1(2(3(4(2(0(4(4(2(2(4(1(2(2(2(4(4(x1)))))))))))))))))))) -> 2(4(3(0(2(0(3(1(2(1(1(2(2(3(0(2(4(3(1(3(x1))))))))))))))))))))
   1(0(0(3(1(4(2(1(2(2(2(2(2(3(0(1(4(2(0(4(x1)))))))))))))))))))) -> 2(4(4(0(3(3(0(3(3(3(2(4(2(2(0(0(0(0(3(3(x1))))))))))))))))))))
   1(0(0(4(0(0(2(3(2(2(3(3(1(3(4(3(2(2(1(1(x1)))))))))))))))))))) -> 1(2(2(2(0(0(2(2(3(0(4(4(2(1(4(2(2(2(4(1(x1))))))))))))))))))))
   1(0(2(1(1(1(2(0(0(2(1(3(3(3(1(4(1(0(0(1(x1)))))))))))))))))))) -> 2(2(1(0(1(4(3(2(3(0(0(0(4(3(2(1(1(2(0(2(x1))))))))))))))))))))
   1(0(4(0(1(3(0(2(3(2(1(2(3(2(4(2(4(3(4(2(x1)))))))))))))))))))) -> 2(3(0(2(0(2(2(2(3(4(1(0(2(3(1(2(1(2(4(2(x1))))))))))))))))))))
   1(1(0(0(1(3(2(4(3(1(4(0(4(1(2(2(2(3(3(2(x1)))))))))))))))))))) -> 3(1(4(3(1(0(3(4(0(3(2(2(4(0(2(3(3(2(2(0(x1))))))))))))))))))))
   1(1(1(1(2(4(4(3(0(2(3(3(1(3(0(1(4(2(2(3(x1)))))))))))))))))))) -> 3(4(2(1(1(0(1(2(1(4(4(2(3(3(4(2(1(2(3(2(x1))))))))))))))))))))
   1(1(2(0(4(1(3(1(2(2(0(4(0(2(3(4(4(0(2(3(x1)))))))))))))))))))) -> 1(0(2(2(4(0(3(1(0(0(3(0(2(1(1(2(2(3(1(0(x1))))))))))))))))))))
   1(1(2(1(3(4(0(2(2(3(3(3(3(0(1(0(4(3(0(2(x1)))))))))))))))))))) -> 3(2(1(4(2(2(3(4(2(3(1(4(2(3(0(3(3(4(0(3(x1))))))))))))))))))))
   1(1(3(3(1(1(3(2(3(2(0(4(2(0(2(1(1(0(4(1(x1)))))))))))))))))))) -> 2(3(4(2(0(0(0(0(3(1(2(2(4(1(2(3(1(0(4(4(x1))))))))))))))))))))
   1(3(1(4(0(1(4(3(0(4(2(1(0(0(1(2(3(2(2(3(x1)))))))))))))))))))) -> 0(4(0(3(0(3(0(3(2(0(1(0(0(2(1(3(2(1(2(0(x1))))))))))))))))))))
   1(3(2(3(1(0(3(3(0(1(2(0(2(2(2(0(1(3(1(0(x1)))))))))))))))))))) -> 3(3(4(3(1(2(2(4(4(0(2(2(2(2(0(0(2(0(1(4(x1))))))))))))))))))))
   1(3(3(4(4(2(3(1(3(3(0(3(4(2(2(4(2(2(4(4(x1)))))))))))))))))))) -> 0(4(2(4(3(3(2(1(4(2(4(4(3(2(2(3(1(2(2(0(x1))))))))))))))))))))
   1(4(4(2(3(1(2(3(3(1(0(1(3(2(1(2(1(2(2(2(x1)))))))))))))))))))) -> 2(0(2(0(2(0(2(0(4(2(4(2(3(2(3(1(2(2(2(1(x1))))))))))))))))))))
   2(0(0(0(2(2(3(1(3(1(0(4(3(3(0(2(4(1(0(3(x1)))))))))))))))))))) -> 4(0(3(4(3(4(0(0(2(2(2(1(2(2(2(1(1(2(0(4(x1))))))))))))))))))))
   2(0(0(0(3(1(0(2(4(2(2(2(4(0(4(0(1(0(3(4(x1)))))))))))))))))))) -> 1(4(2(4(4(4(4(3(2(4(4(3(2(2(0(0(4(1(2(2(x1))))))))))))))))))))
   2(0(2(1(1(0(1(0(2(2(0(1(2(0(2(4(0(1(2(0(x1)))))))))))))))))))) -> 3(0(2(4(1(2(0(4(2(1(3(0(2(3(4(2(3(3(4(0(x1))))))))))))))))))))
   2(0(2(4(2(2(2(4(3(0(0(1(0(1(0(3(0(3(2(4(x1)))))))))))))))))))) -> 0(3(0(2(2(0(2(1(3(2(3(3(0(2(0(4(3(3(3(2(x1))))))))))))))))))))
   2(0(3(2(0(3(2(4(1(2(3(1(4(1(3(3(3(0(1(3(x1)))))))))))))))))))) -> 3(0(3(2(1(1(1(3(4(0(3(2(0(2(2(3(2(0(3(2(x1))))))))))))))))))))
   2(0(3(4(1(2(0(2(3(3(1(2(0(1(2(0(4(4(4(2(x1)))))))))))))))))))) -> 2(2(2(4(3(2(0(1(4(1(2(3(0(3(1(3(3(1(2(4(x1))))))))))))))))))))
   2(0(4(2(1(3(4(4(2(1(0(3(2(1(3(2(1(4(2(4(x1)))))))))))))))))))) -> 0(2(4(2(2(2(0(2(4(3(3(2(3(3(4(1(0(3(0(4(x1))))))))))))))))))))
   2(0(4(2(2(3(4(0(1(0(3(2(1(3(0(3(1(1(3(0(x1)))))))))))))))))))) -> 0(3(0(1(2(2(2(0(0(3(3(2(1(1(0(4(2(1(2(4(x1))))))))))))))))))))
   2(1(3(2(2(0(4(4(0(4(1(2(3(3(0(2(1(4(4(4(x1)))))))))))))))))))) -> 4(3(2(3(2(2(2(1(4(1(2(2(0(1(1(1(0(0(3(4(x1))))))))))))))))))))
   2(1(3(4(1(0(3(2(0(3(0(1(1(4(0(0(2(4(4(1(x1)))))))))))))))))))) -> 3(0(3(2(1(4(1(4(0(0(2(2(0(1(1(0(4(1(2(1(x1))))))))))))))))))))
   2(1(4(1(3(4(3(2(2(0(1(0(2(1(0(3(4(2(4(2(x1)))))))))))))))))))) -> 4(2(2(2(3(3(4(1(4(0(2(3(2(1(0(3(2(3(3(4(x1))))))))))))))))))))
   2(1(4(4(0(1(2(0(2(3(0(2(1(2(3(0(2(3(1(3(x1)))))))))))))))))))) -> 0(3(2(3(2(3(0(2(2(0(2(3(1(3(3(3(1(2(4(2(x1))))))))))))))))))))
   2(3(0(1(3(3(4(2(1(4(4(2(3(1(1(1(2(3(0(2(x1)))))))))))))))))))) -> 2(2(3(0(4(4(0(0(1(3(3(0(4(3(4(2(2(4(3(2(x1))))))))))))))))))))
   2(3(1(1(3(2(1(1(1(3(2(3(4(2(2(3(4(3(3(0(x1)))))))))))))))))))) -> 0(4(4(2(4(0(2(3(2(0(2(1(2(4(4(3(2(3(2(2(x1))))))))))))))))))))
   2(3(1(2(3(3(3(1(1(1(0(1(2(4(0(4(2(1(2(2(x1)))))))))))))))))))) -> 2(2(0(1(4(3(2(2(4(3(0(2(4(3(2(0(0(1(0(2(x1))))))))))))))))))))
   2(3(3(3(0(0(1(0(2(4(3(1(1(3(2(1(2(2(2(1(x1)))))))))))))))))))) -> 3(4(2(2(0(0(0(0(2(4(2(3(2(0(3(2(3(0(2(3(x1))))))))))))))))))))
   2(3(4(0(0(4(3(3(2(3(4(0(2(0(4(4(0(2(4(2(x1)))))))))))))))))))) -> 1(3(1(3(3(2(0(2(2(3(0(1(2(2(2(4(1(2(1(1(x1))))))))))))))))))))
   2(3(4(4(4(3(0(0(2(3(4(3(0(4(3(0(1(2(4(2(x1)))))))))))))))))))) -> 3(3(2(0(4(0(2(4(2(3(2(2(4(4(0(4(0(3(4(1(x1))))))))))))))))))))
   2(4(0(0(3(2(2(2(1(1(4(0(1(2(2(3(4(2(3(4(x1)))))))))))))))))))) -> 3(1(3(2(2(4(0(3(2(1(0(0(2(3(3(3(2(3(4(3(x1))))))))))))))))))))
   2(4(0(0(4(2(1(3(3(3(2(0(4(1(4(0(2(1(3(2(x1)))))))))))))))))))) -> 0(4(2(4(0(3(2(1(2(4(2(2(3(1(0(1(2(3(3(2(x1))))))))))))))))))))
   2(4(0(3(1(2(1(1(2(0(2(2(0(3(2(1(1(0(1(3(x1)))))))))))))))))))) -> 2(3(3(1(3(1(2(1(1(0(2(0(0(2(3(3(0(3(3(3(x1))))))))))))))))))))
   2(4(1(3(2(2(1(4(2(1(1(1(2(2(2(0(3(0(2(4(x1)))))))))))))))))))) -> 3(3(1(4(3(2(3(2(2(3(2(1(1(0(3(3(3(4(0(2(x1))))))))))))))))))))
   2(4(2(2(1(1(2(3(0(1(0(0(3(2(1(0(0(1(0(2(x1)))))))))))))))))))) -> 2(2(2(3(3(4(1(4(3(0(0(2(0(1(1(2(3(0(2(4(x1))))))))))))))))))))
   2(4(2(2(1(2(4(2(3(0(1(0(2(1(2(0(0(0(4(0(x1)))))))))))))))))))) -> 2(3(0(2(0(3(0(2(1(0(4(2(2(1(3(1(3(0(4(3(x1))))))))))))))))))))
   2(4(3(2(0(2(4(1(2(0(4(1(2(3(1(2(3(4(1(1(x1)))))))))))))))))))) -> 2(0(1(1(2(2(4(3(2(2(1(3(0(1(2(3(0(4(4(4(x1))))))))))))))))))))
   2(4(3(2(2(4(0(3(2(4(3(1(0(4(4(3(3(2(2(1(x1)))))))))))))))))))) -> 3(4(3(0(2(2(2(4(3(2(0(3(0(3(2(0(3(0(4(2(x1))))))))))))))))))))
   2(4(4(4(2(2(2(0(4(3(4(3(4(2(3(1(4(3(1(3(x1)))))))))))))))))))) -> 2(3(4(2(1(1(1(3(2(3(0(2(4(1(2(0(2(1(1(4(x1))))))))))))))))))))
   3(0(0(1(0(2(3(3(2(0(2(1(1(0(4(3(2(0(4(2(x1)))))))))))))))))))) -> 1(0(0(2(1(4(4(0(2(3(0(2(4(4(2(3(2(4(0(2(x1))))))))))))))))))))
   3(0(1(0(2(2(3(1(2(1(1(1(0(0(2(2(1(3(1(3(x1)))))))))))))))))))) -> 3(1(4(1(2(1(0(3(2(0(0(1(0(2(4(0(2(2(3(2(x1))))))))))))))))))))
   3(0(1(3(2(0(1(3(4(2(3(1(2(2(1(2(3(1(3(1(x1)))))))))))))))))))) -> 2(3(2(3(0(2(1(2(2(4(3(3(3(2(1(0(1(3(2(2(x1))))))))))))))))))))
   3(0(1(4(2(2(3(4(4(3(0(2(1(4(1(0(1(0(2(3(x1)))))))))))))))))))) -> 4(2(0(4(1(1(2(0(2(4(0(3(4(4(3(2(0(3(3(2(x1))))))))))))))))))))
   3(0(1(4(3(1(2(0(3(2(3(2(2(0(2(2(3(1(2(2(x1)))))))))))))))))))) -> 0(2(2(3(0(2(0(3(1(3(1(2(2(2(3(2(2(0(4(2(x1))))))))))))))))))))
   3(0(2(4(0(4(0(1(2(1(4(3(0(4(3(0(3(3(3(2(x1)))))))))))))))))))) -> 1(0(4(3(1(4(2(3(3(4(3(0(0(2(2(3(4(0(4(2(x1))))))))))))))))))))
   3(0(3(2(0(0(2(2(3(0(0(4(3(4(2(4(2(3(3(3(x1)))))))))))))))))))) -> 3(0(0(1(3(2(2(2(3(3(2(0(1(2(3(3(4(2(2(4(x1))))))))))))))))))))
   3(1(0(3(2(2(1(1(4(4(0(2(2(4(3(2(2(3(4(2(x1)))))))))))))))))))) -> 2(0(4(3(3(2(2(2(4(0(4(3(2(2(2(0(3(0(4(2(x1))))))))))))))))))))
   3(1(1(0(0(2(2(4(2(2(2(2(1(2(2(1(1(1(1(4(x1)))))))))))))))))))) -> 4(2(1(4(1(3(2(2(4(4(2(3(3(3(3(2(4(3(2(3(x1))))))))))))))))))))
   3(1(1(1(2(0(1(3(3(2(1(3(4(1(2(2(3(3(2(3(x1)))))))))))))))))))) -> 2(3(2(2(4(3(4(2(3(1(2(2(4(2(3(0(4(3(0(3(x1))))))))))))))))))))
   3(1(4(3(4(2(1(1(1(4(3(1(3(2(2(4(2(2(1(1(x1)))))))))))))))))))) -> 2(1(2(4(2(4(1(4(2(1(4(0(0(1(2(3(3(2(1(3(x1))))))))))))))))))))
   3(2(0(3(2(4(4(2(2(2(0(1(2(2(3(4(0(2(4(1(x1)))))))))))))))))))) -> 0(0(2(3(0(2(1(2(2(2(3(2(1(3(4(3(4(2(2(2(x1))))))))))))))))))))
   3(2(0(3(4(4(4(1(0(2(2(1(4(0(0(4(3(2(3(1(x1)))))))))))))))))))) -> 0(4(0(3(4(2(0(3(1(3(3(1(1(0(3(2(2(3(0(3(x1))))))))))))))))))))
   3(2(2(3(4(3(2(2(0(4(1(4(3(4(2(1(4(1(0(2(x1)))))))))))))))))))) -> 2(1(3(3(3(2(2(4(0(4(0(4(2(0(2(1(3(3(3(3(x1))))))))))))))))))))
   3(2(3(2(2(0(0(4(1(0(0(4(0(3(3(2(2(1(0(3(x1)))))))))))))))))))) -> 1(3(1(2(0(4(0(3(2(4(3(0(2(1(2(2(1(2(2(3(x1))))))))))))))))))))
   3(3(0(4(4(1(0(2(3(2(1(2(2(3(3(1(0(2(4(1(x1)))))))))))))))))))) -> 4(2(1(2(3(3(3(3(0(2(0(3(0(2(3(1(2(1(1(0(x1))))))))))))))))))))
   3(3(1(0(2(4(2(3(1(0(2(4(4(4(0(0(2(1(1(2(x1)))))))))))))))))))) -> 2(4(2(3(2(3(4(0(4(2(4(3(1(0(1(2(0(3(2(0(x1))))))))))))))))))))
   3(3(2(4(3(0(2(1(4(3(3(4(4(1(1(4(3(3(2(2(x1)))))))))))))))))))) -> 4(1(2(3(2(0(3(3(0(3(2(3(1(1(2(0(1(0(2(2(x1))))))))))))))))))))
   3(3(3(0(2(0(2(2(1(0(0(4(4(2(0(2(3(0(2(4(x1)))))))))))))))))))) -> 2(3(3(2(4(3(4(2(3(3(1(0(1(2(4(3(0(3(3(2(x1))))))))))))))))))))
   3(4(2(1(4(1(0(2(4(3(3(4(3(3(1(2(2(3(3(3(x1)))))))))))))))))))) -> 4(2(0(1(2(0(2(0(0(2(1(4(0(3(2(2(3(2(2(4(x1))))))))))))))))))))
   3(4(4(4(3(1(4(3(0(2(2(0(4(4(1(3(3(3(2(2(x1)))))))))))))))))))) -> 4(2(2(3(0(0(3(1(1(1(4(4(3(0(3(2(1(0(2(2(x1))))))))))))))))))))
   4(0(0(0(0(4(2(1(1(1(1(3(2(4(0(0(3(2(4(1(x1)))))))))))))))))))) -> 2(1(2(2(0(2(4(3(1(0(4(1(4(0(3(4(1(3(4(4(x1))))))))))))))))))))
   4(0(2(2(4(3(1(3(4(0(0(0(2(2(2(3(0(4(2(4(x1)))))))))))))))))))) -> 2(1(3(3(4(4(1(0(3(2(2(3(0(0(4(3(3(4(2(2(x1))))))))))))))))))))
   4(0(2(3(1(1(2(3(1(1(2(0(4(3(0(2(3(2(3(3(x1)))))))))))))))))))) -> 2(2(4(2(2(3(0(2(4(2(3(1(3(2(2(3(4(1(0(2(x1))))))))))))))))))))
   4(0(3(2(0(3(3(2(3(1(4(3(2(2(3(1(3(1(0(4(x1)))))))))))))))))))) -> 0(0(0(2(1(3(3(4(2(4(3(3(2(4(2(3(3(0(0(3(x1))))))))))))))))))))
   4(0(4(2(2(3(3(2(2(1(2(1(0(1(0(3(2(1(2(0(x1)))))))))))))))))))) -> 1(1(2(2(0(0(4(4(2(3(3(3(2(2(2(0(3(0(0(2(x1))))))))))))))))))))
   4(1(1(1(4(2(4(2(0(2(3(3(1(3(0(2(2(0(0(3(x1)))))))))))))))))))) -> 0(4(2(1(2(2(2(0(4(2(3(3(0(2(1(4(0(1(4(2(x1))))))))))))))))))))
   4(1(2(3(2(0(0(1(0(2(3(1(3(2(3(1(0(1(4(2(x1)))))))))))))))))))) -> 1(1(1(0(2(3(0(3(3(2(4(3(3(2(0(2(1(2(3(3(x1))))))))))))))))))))
   4(1(4(3(1(0(4(4(1(3(3(2(2(1(2(2(3(2(0(0(x1)))))))))))))))))))) -> 2(2(4(4(3(3(2(1(4(4(3(2(3(4(1(2(1(1(3(0(x1))))))))))))))))))))
   4(2(3(0(2(2(4(0(0(3(1(2(0(4(2(0(2(3(3(0(x1)))))))))))))))))))) -> 2(2(2(2(4(0(3(0(4(1(2(2(1(3(3(2(0(3(1(0(x1))))))))))))))))))))
   4(2(3(2(2(0(0(4(0(2(0(1(3(0(2(1(0(1(2(4(x1)))))))))))))))))))) -> 1(0(2(0(4(3(4(3(0(3(2(2(4(0(2(1(2(2(4(2(x1))))))))))))))))))))
   4(2(4(0(2(3(1(0(2(1(2(2(4(1(4(3(1(0(3(2(x1)))))))))))))))))))) -> 1(3(0(2(3(2(0(0(0(3(3(2(4(4(3(3(2(4(3(0(x1))))))))))))))))))))
   4(3(0(3(2(0(2(2(3(1(0(2(0(0(2(3(1(3(4(4(x1)))))))))))))))))))) -> 1(4(0(3(3(2(2(2(0(2(3(1(2(3(3(0(3(1(0(1(x1))))))))))))))))))))
   4(3(0(3(4(3(3(0(1(3(2(3(3(4(3(0(0(3(4(2(x1)))))))))))))))))))) -> 1(1(0(4(0(0(0(2(4(0(2(2(3(2(3(3(0(4(3(2(x1))))))))))))))))))))
   4(3(2(0(0(3(4(2(0(3(0(1(0(1(1(4(0(2(2(4(x1)))))))))))))))))))) -> 4(1(2(2(4(4(2(1(4(3(2(0(0(0(2(4(1(2(0(3(x1))))))))))))))))))))
   4(3(3(3(0(2(1(2(2(3(2(0(1(1(4(1(3(4(2(4(x1)))))))))))))))))))) -> 3(4(1(3(3(2(1(2(1(1(0(2(2(0(0(1(1(2(3(2(x1))))))))))))))))))))
   4(4(0(3(0(1(3(2(2(2(3(1(0(2(3(3(0(2(4(4(x1)))))))))))))))))))) -> 2(1(3(2(2(2(4(0(3(2(2(2(2(2(0(3(0(2(0(3(x1))))))))))))))))))))
   4(4(0(3(0(4(2(4(2(3(0(2(2(0(4(3(3(4(2(2(x1)))))))))))))))))))) -> 2(3(3(1(0(2(2(3(1(4(0(0(1(2(2(0(4(4(2(2(x1))))))))))))))))))))
   4(4(2(2(0(0(3(0(3(1(2(3(3(1(2(2(2(4(4(4(x1)))))))))))))))))))) -> 4(2(3(0(2(2(0(2(2(4(3(1(1(4(4(2(4(2(3(3(x1))))))))))))))))))))
   4(4(4(1(3(3(4(4(2(2(0(1(0(2(4(3(2(2(0(2(x1)))))))))))))))))))) -> 4(3(2(3(2(2(0(0(1(3(4(2(2(2(4(4(1(2(0(2(x1))))))))))))))))))))
   4(4(4(4(3(2(0(3(2(4(2(4(1(2(1(4(2(3(0(0(x1)))))))))))))))))))) -> 3(4(2(3(3(2(2(1(3(4(2(3(1(4(4(3(1(1(3(3(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:

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

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

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

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

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

(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:

   2'(c_1(c_3(c_4(c_1(c_0(c_3(c_2(c_0(c_3(c_0(c_1(c_1(c_4(c_0(c_0(c_2(c_4(c_4(c_1(x1)))))))))))))))))))) -> 3'(0'(3'(2'(1'(4'(1'(4'(0'(0'(2'(2'(0'(1'(1'(0'(4'(1'(2'(1'(x1)))))))))))))))))))) [1]
   2'(c_1(c_4(c_4(c_0(c_1(c_2(c_0(c_2(c_3(c_0(c_2(c_1(c_2(c_3(c_0(c_2(c_3(c_1(c_3(x1)))))))))))))))))))) -> 0'(3'(2'(3'(2'(3'(0'(2'(2'(0'(2'(3'(1'(3'(3'(3'(1'(2'(4'(2'(x1)))))))))))))))))))) [1]
   3'(c_0(c_1(c_4(c_2(c_2(c_3(c_4(c_4(c_3(c_0(c_2(c_1(c_4(c_1(c_0(c_1(c_0(c_2(c_3(x1)))))))))))))))))))) -> 4'(2'(0'(4'(1'(1'(2'(0'(2'(4'(0'(3'(4'(4'(3'(2'(0'(3'(3'(2'(x1)))))))))))))))))))) [1]
   0'(c_1(c_4(c_2(c_2(c_0(c_3(c_2(c_0(c_4(c_1(c_3(c_2(c_0(c_0(c_3(c_2(c_3(c_0(c_2(x1)))))))))))))))))))) -> 2'(4'(2'(1'(2'(2'(3'(0'(2'(0'(1'(2'(2'(0'(1'(2'(0'(0'(4'(2'(x1)))))))))))))))))))) [1]
   1'(c_3(c_3(c_4(c_4(c_2(c_3(c_1(c_3(c_3(c_0(c_3(c_4(c_2(c_2(c_4(c_2(c_2(c_4(c_4(x1)))))))))))))))))))) -> 0'(4'(2'(4'(3'(3'(2'(1'(4'(2'(4'(4'(3'(2'(2'(3'(1'(2'(2'(0'(x1)))))))))))))))))))) [1]
   3'(c_1(c_1(c_1(c_2(c_0(c_1(c_3(c_3(c_2(c_1(c_3(c_4(c_1(c_2(c_2(c_3(c_3(c_2(c_3(x1)))))))))))))))))))) -> 2'(3'(2'(2'(4'(3'(4'(2'(3'(1'(2'(2'(4'(2'(3'(0'(4'(3'(0'(3'(x1)))))))))))))))))))) [1]
   1'(c_0(c_0(c_1(c_2(c_3(c_4(c_2(c_0(c_4(c_4(c_2(c_2(c_4(c_1(c_2(c_2(c_2(c_4(c_4(x1)))))))))))))))))))) -> 2'(4'(3'(0'(2'(0'(3'(1'(2'(1'(1'(2'(2'(3'(0'(2'(4'(3'(1'(3'(x1)))))))))))))))))))) [1]
   3'(c_2(c_2(c_3(c_4(c_3(c_2(c_2(c_0(c_4(c_1(c_4(c_3(c_4(c_2(c_1(c_4(c_1(c_0(c_2(x1)))))))))))))))))))) -> 2'(1'(3'(3'(3'(2'(2'(4'(0'(4'(0'(4'(2'(0'(2'(1'(3'(3'(3'(3'(x1)))))))))))))))))))) [1]
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   4'(c_2(c_4(c_0(c_2(c_3(c_1(c_0(c_2(c_1(c_2(c_2(c_4(c_1(c_4(c_3(c_1(c_0(c_3(c_2(x1)))))))))))))))))))) -> 1'(3'(0'(2'(3'(2'(0'(0'(0'(3'(3'(2'(4'(4'(3'(3'(2'(4'(3'(0'(x1)))))))))))))))))))) [1]
   0'(c_2(c_1(c_1(c_2(c_1(c_4(c_1(c_2(c_2(c_4(c_0(c_0(c_3(c_3(c_3(c_2(c_2(c_1(c_0(x1)))))))))))))))))))) -> 4'(3'(3'(0'(2'(3'(4'(2'(4'(1'(2'(1'(4'(3'(4'(3'(3'(2'(2'(3'(x1)))))))))))))))))))) [1]
   1'(c_3(c_1(c_4(c_0(c_1(c_4(c_3(c_0(c_4(c_2(c_1(c_0(c_0(c_1(c_2(c_3(c_2(c_2(c_3(x1)))))))))))))))))))) -> 0'(4'(0'(3'(0'(3'(0'(3'(2'(0'(1'(0'(0'(2'(1'(3'(2'(1'(2'(0'(x1)))))))))))))))))))) [1]
   4'(c_2(c_3(c_2(c_2(c_0(c_0(c_4(c_0(c_2(c_0(c_1(c_3(c_0(c_2(c_1(c_0(c_1(c_2(c_4(x1)))))))))))))))))))) -> 1'(0'(2'(0'(4'(3'(4'(3'(0'(3'(2'(2'(4'(0'(2'(1'(2'(2'(4'(2'(x1)))))))))))))))))))) [1]
   1'(c_0(c_2(c_1(c_1(c_1(c_2(c_0(c_0(c_2(c_1(c_3(c_3(c_3(c_1(c_4(c_1(c_0(c_0(c_1(x1)))))))))))))))))))) -> 2'(2'(1'(0'(1'(4'(3'(2'(3'(0'(0'(0'(4'(3'(2'(1'(1'(2'(0'(2'(x1)))))))))))))))))))) [1]
   2'(c_3(c_1(c_1(c_3(c_2(c_1(c_1(c_1(c_3(c_2(c_3(c_4(c_2(c_2(c_3(c_4(c_3(c_3(c_0(x1)))))))))))))))))))) -> 0'(4'(4'(2'(4'(0'(2'(3'(2'(0'(2'(1'(2'(4'(4'(3'(2'(3'(2'(2'(x1)))))))))))))))))))) [1]
   0'(c_2(c_1(c_3(c_0(c_0(c_4(c_4(c_4(c_0(c_0(c_3(c_2(c_1(c_2(c_4(c_0(c_1(c_2(c_2(x1)))))))))))))))))))) -> 0'(4'(0'(0'(2'(3'(0'(4'(1'(2'(3'(0'(3'(0'(1'(4'(2'(2'(3'(3'(x1)))))))))))))))))))) [1]
   0'(c_0(c_0(c_0(c_1(c_2(c_2(c_3(c_3(c_2(c_0(c_0(c_0(c_4(c_2(c_0(c_1(c_2(c_4(c_2(x1)))))))))))))))))))) -> 1'(1'(1'(3'(0'(3'(0'(2'(3'(2'(2'(4'(1'(2'(3'(4'(1'(2'(2'(4'(x1)))))))))))))))))))) [1]
   1'(c_0(c_4(c_0(c_1(c_3(c_0(c_2(c_3(c_2(c_1(c_2(c_3(c_2(c_4(c_2(c_4(c_3(c_4(c_2(x1)))))))))))))))))))) -> 2'(3'(0'(2'(0'(2'(2'(2'(3'(4'(1'(0'(2'(3'(1'(2'(1'(2'(4'(2'(x1)))))))))))))))))))) [1]
   4'(c_4(c_0(c_3(c_0(c_4(c_2(c_4(c_2(c_3(c_0(c_2(c_2(c_0(c_4(c_3(c_3(c_4(c_2(c_2(x1)))))))))))))))))))) -> 2'(3'(3'(1'(0'(2'(2'(3'(1'(4'(0'(0'(1'(2'(2'(0'(4'(4'(2'(2'(x1)))))))))))))))))))) [1]
   0'(c_4(c_2(c_2(c_0(c_2(c_3(c_3(c_4(c_1(c_3(c_2(c_4(c_0(c_2(c_1(c_1(c_4(c_3(c_2(x1)))))))))))))))))))) -> 2'(4'(3'(3'(0'(3'(1'(2'(3'(3'(4'(2'(0'(0'(4'(2'(0'(1'(2'(2'(x1)))))))))))))))))))) [1]
   2'(c_0(c_2(c_4(c_2(c_2(c_2(c_4(c_3(c_0(c_0(c_1(c_0(c_1(c_0(c_3(c_0(c_3(c_2(c_4(x1)))))))))))))))))))) -> 0'(3'(0'(2'(2'(0'(2'(1'(3'(2'(3'(3'(0'(2'(0'(4'(3'(3'(3'(2'(x1)))))))))))))))))))) [1]
   4'(c_0(c_0(c_0(c_0(c_4(c_2(c_1(c_1(c_1(c_1(c_3(c_2(c_4(c_0(c_0(c_3(c_2(c_4(c_1(x1)))))))))))))))))))) -> 2'(1'(2'(2'(0'(2'(4'(3'(1'(0'(4'(1'(4'(0'(3'(4'(1'(3'(4'(4'(x1)))))))))))))))))))) [1]
   4'(c_4(c_2(c_2(c_0(c_0(c_3(c_0(c_3(c_1(c_2(c_3(c_3(c_1(c_2(c_2(c_2(c_4(c_4(c_4(x1)))))))))))))))))))) -> 4'(2'(3'(0'(2'(2'(0'(2'(2'(4'(3'(1'(1'(4'(4'(2'(4'(2'(3'(3'(x1)))))))))))))))))))) [1]
   2'(c_4(c_1(c_3(c_2(c_2(c_1(c_4(c_2(c_1(c_1(c_1(c_2(c_2(c_2(c_0(c_3(c_0(c_2(c_4(x1)))))))))))))))))))) -> 3'(3'(1'(4'(3'(2'(3'(2'(2'(3'(2'(1'(1'(0'(3'(3'(3'(4'(0'(2'(x1)))))))))))))))))))) [1]
   4'(c_2(c_3(c_0(c_2(c_2(c_4(c_0(c_0(c_3(c_1(c_2(c_0(c_4(c_2(c_0(c_2(c_3(c_3(c_0(x1)))))))))))))))))))) -> 2'(2'(2'(2'(4'(0'(3'(0'(4'(1'(2'(2'(1'(3'(3'(2'(0'(3'(1'(0'(x1)))))))))))))))))))) [1]
   2'(c_0(c_0(c_0(c_3(c_1(c_0(c_2(c_4(c_2(c_2(c_2(c_4(c_0(c_4(c_0(c_1(c_0(c_3(c_4(x1)))))))))))))))))))) -> 1'(4'(2'(4'(4'(4'(4'(3'(2'(4'(4'(3'(2'(2'(0'(0'(4'(1'(2'(2'(x1)))))))))))))))))))) [1]
   2'(c_3(c_3(c_3(c_0(c_0(c_1(c_0(c_2(c_4(c_3(c_1(c_1(c_3(c_2(c_1(c_2(c_2(c_2(c_1(x1)))))))))))))))))))) -> 3'(4'(2'(2'(0'(0'(0'(0'(2'(4'(2'(3'(2'(0'(3'(2'(3'(0'(2'(3'(x1)))))))))))))))))))) [1]
   3'(c_0(c_1(c_3(c_2(c_0(c_1(c_3(c_4(c_2(c_3(c_1(c_2(c_2(c_1(c_2(c_3(c_1(c_3(c_1(x1)))))))))))))))))))) -> 2'(3'(2'(3'(0'(2'(1'(2'(2'(4'(3'(3'(3'(2'(1'(0'(1'(3'(2'(2'(x1)))))))))))))))))))) [1]
   0'(c_2(c_4(c_2(c_1(c_2(c_3(c_0(c_1(c_2(c_0(c_3(c_0(c_4(c_1(c_0(c_2(c_0(c_2(c_0(x1)))))))))))))))))))) -> 3'(2'(3'(1'(0'(1'(2'(0'(2'(2'(3'(2'(0'(4'(4'(2'(0'(4'(4'(2'(x1)))))))))))))))))))) [1]
   1'(c_4(c_4(c_2(c_3(c_1(c_2(c_3(c_3(c_1(c_0(c_1(c_3(c_2(c_1(c_2(c_1(c_2(c_2(c_2(x1)))))))))))))))))))) -> 2'(0'(2'(0'(2'(0'(2'(0'(4'(2'(4'(2'(3'(2'(3'(1'(2'(2'(2'(1'(x1)))))))))))))))))))) [1]
   2'(c_1(c_4(c_1(c_3(c_4(c_3(c_2(c_2(c_0(c_1(c_0(c_2(c_1(c_0(c_3(c_4(c_2(c_4(c_2(x1)))))))))))))))))))) -> 4'(2'(2'(2'(3'(3'(4'(1'(4'(0'(2'(3'(2'(1'(0'(3'(2'(3'(3'(4'(x1)))))))))))))))))))) [1]
   0'(c_1(c_2(c_0(c_1(c_4(c_4(c_0(c_3(c_0(c_2(c_3(c_0(c_0(c_3(c_3(c_0(c_2(c_3(c_2(x1)))))))))))))))))))) -> 1'(3'(3'(2'(4'(2'(1'(2'(1'(2'(0'(2'(0'(3'(2'(2'(4'(0'(3'(3'(x1)))))))))))))))))))) [1]
   4'(c_1(c_1(c_1(c_4(c_2(c_4(c_2(c_0(c_2(c_3(c_3(c_1(c_3(c_0(c_2(c_2(c_0(c_0(c_3(x1)))))))))))))))))))) -> 0'(4'(2'(1'(2'(2'(2'(0'(4'(2'(3'(3'(0'(2'(1'(4'(0'(1'(4'(2'(x1)))))))))))))))))))) [1]
   4'(c_0(c_2(c_2(c_4(c_3(c_1(c_3(c_4(c_0(c_0(c_0(c_2(c_2(c_2(c_3(c_0(c_4(c_2(c_4(x1)))))))))))))))))))) -> 2'(1'(3'(3'(4'(4'(1'(0'(3'(2'(2'(3'(0'(0'(4'(3'(3'(4'(2'(2'(x1)))))))))))))))))))) [1]
   3'(c_0(c_2(c_4(c_0(c_4(c_0(c_1(c_2(c_1(c_4(c_3(c_0(c_4(c_3(c_0(c_3(c_3(c_3(c_2(x1)))))))))))))))))))) -> 1'(0'(4'(3'(1'(4'(2'(3'(3'(4'(3'(0'(0'(2'(2'(3'(4'(0'(4'(2'(x1)))))))))))))))))))) [1]
   4'(c_3(c_3(c_3(c_0(c_2(c_1(c_2(c_2(c_3(c_2(c_0(c_1(c_1(c_4(c_1(c_3(c_4(c_2(c_4(x1)))))))))))))))))))) -> 3'(4'(1'(3'(3'(2'(1'(2'(1'(1'(0'(2'(2'(0'(0'(1'(1'(2'(3'(2'(x1)))))))))))))))))))) [1]
   0'(c_2(c_2(c_1(c_2(c_0(c_3(c_1(c_2(c_2(c_4(c_1(c_2(c_0(c_2(c_4(c_0(c_1(c_0(c_3(x1)))))))))))))))))))) -> 2'(4'(3'(0'(3'(0'(2'(3'(0'(4'(2'(2'(2'(3'(3'(2'(4'(3'(1'(1'(x1)))))))))))))))))))) [1]
   2'(c_4(c_2(c_2(c_1(c_1(c_2(c_3(c_0(c_1(c_0(c_0(c_3(c_2(c_1(c_0(c_0(c_1(c_0(c_2(x1)))))))))))))))))))) -> 2'(2'(2'(3'(3'(4'(1'(4'(3'(0'(0'(2'(0'(1'(1'(2'(3'(0'(2'(4'(x1)))))))))))))))))))) [1]
   2'(c_4(c_0(c_0(c_4(c_2(c_1(c_3(c_3(c_3(c_2(c_0(c_4(c_1(c_4(c_0(c_2(c_1(c_3(c_2(x1)))))))))))))))))))) -> 0'(4'(2'(4'(0'(3'(2'(1'(2'(4'(2'(2'(3'(1'(0'(1'(2'(3'(3'(2'(x1)))))))))))))))))))) [1]
   2'(c_0(c_4(c_2(c_1(c_3(c_4(c_4(c_2(c_1(c_0(c_3(c_2(c_1(c_3(c_2(c_1(c_4(c_2(c_4(x1)))))))))))))))))))) -> 0'(2'(4'(2'(2'(2'(0'(2'(4'(3'(3'(2'(3'(3'(4'(1'(0'(3'(0'(4'(x1)))))))))))))))))))) [1]
   3'(c_2(c_0(c_3(c_4(c_4(c_4(c_1(c_0(c_2(c_2(c_1(c_4(c_0(c_0(c_4(c_3(c_2(c_3(c_1(x1)))))))))))))))))))) -> 0'(4'(0'(3'(4'(2'(0'(3'(1'(3'(3'(1'(1'(0'(3'(2'(2'(3'(0'(3'(x1)))))))))))))))))))) [1]
   1'(c_1(c_0(c_0(c_1(c_3(c_2(c_4(c_3(c_1(c_4(c_0(c_4(c_1(c_2(c_2(c_2(c_3(c_3(c_2(x1)))))))))))))))))))) -> 3'(1'(4'(3'(1'(0'(3'(4'(0'(3'(2'(2'(4'(0'(2'(3'(3'(2'(2'(0'(x1)))))))))))))))))))) [1]
   0'(c_4(c_2(c_0(c_0(c_3(c_2(c_1(c_0(c_1(c_3(c_1(c_2(c_4(c_4(c_0(c_2(c_3(c_2(c_2(x1)))))))))))))))))))) -> 2'(1'(2'(2'(3'(3'(2'(0'(4'(4'(3'(3'(1'(0'(0'(3'(4'(2'(2'(4'(x1)))))))))))))))))))) [1]
   4'(c_4(c_4(c_1(c_3(c_3(c_4(c_4(c_2(c_2(c_0(c_1(c_0(c_2(c_4(c_3(c_2(c_2(c_0(c_2(x1)))))))))))))))))))) -> 4'(3'(2'(3'(2'(2'(0'(0'(1'(3'(4'(2'(2'(2'(4'(4'(1'(2'(0'(2'(x1)))))))))))))))))))) [1]
   3'(c_0(c_3(c_2(c_0(c_0(c_2(c_2(c_3(c_0(c_0(c_4(c_3(c_4(c_2(c_4(c_2(c_3(c_3(c_3(x1)))))))))))))))))))) -> 3'(0'(0'(1'(3'(2'(2'(2'(3'(3'(2'(0'(1'(2'(3'(3'(4'(2'(2'(4'(x1)))))))))))))))))))) [1]
   4'(c_0(c_4(c_2(c_2(c_3(c_3(c_2(c_2(c_1(c_2(c_1(c_0(c_1(c_0(c_3(c_2(c_1(c_2(c_0(x1)))))))))))))))))))) -> 1'(1'(2'(2'(0'(0'(4'(4'(2'(3'(3'(3'(2'(2'(2'(0'(3'(0'(0'(2'(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:

   2'(c_1(c_3(c_4(c_1(c_0(c_3(c_2(c_0(c_3(c_0(c_1(c_1(c_4(c_0(c_0(c_2(c_4(c_4(c_1(x1)))))))))))))))))))) -> 3'(0'(3'(2'(1'(4'(1'(4'(0'(0'(2'(2'(0'(1'(1'(0'(4'(1'(2'(1'(x1)))))))))))))))))))) [1]
   2'(c_1(c_4(c_4(c_0(c_1(c_2(c_0(c_2(c_3(c_0(c_2(c_1(c_2(c_3(c_0(c_2(c_3(c_1(c_3(x1)))))))))))))))))))) -> 0'(3'(2'(3'(2'(3'(0'(2'(2'(0'(2'(3'(1'(3'(3'(3'(1'(2'(4'(2'(x1)))))))))))))))))))) [1]
   3'(c_0(c_1(c_4(c_2(c_2(c_3(c_4(c_4(c_3(c_0(c_2(c_1(c_4(c_1(c_0(c_1(c_0(c_2(c_3(x1)))))))))))))))))))) -> 4'(2'(0'(4'(1'(1'(2'(0'(2'(4'(0'(3'(4'(4'(3'(2'(0'(3'(3'(2'(x1)))))))))))))))))))) [1]
   0'(c_1(c_4(c_2(c_2(c_0(c_3(c_2(c_0(c_4(c_1(c_3(c_2(c_0(c_0(c_3(c_2(c_3(c_0(c_2(x1)))))))))))))))))))) -> 2'(4'(2'(1'(2'(2'(3'(0'(2'(0'(1'(2'(2'(0'(1'(2'(0'(0'(4'(2'(x1)))))))))))))))))))) [1]
   1'(c_3(c_3(c_4(c_4(c_2(c_3(c_1(c_3(c_3(c_0(c_3(c_4(c_2(c_2(c_4(c_2(c_2(c_4(c_4(x1)))))))))))))))))))) -> 0'(4'(2'(4'(3'(3'(2'(1'(4'(2'(4'(4'(3'(2'(2'(3'(1'(2'(2'(0'(x1)))))))))))))))))))) [1]
   3'(c_1(c_1(c_1(c_2(c_0(c_1(c_3(c_3(c_2(c_1(c_3(c_4(c_1(c_2(c_2(c_3(c_3(c_2(c_3(x1)))))))))))))))))))) -> 2'(3'(2'(2'(4'(3'(4'(2'(3'(1'(2'(2'(4'(2'(3'(0'(4'(3'(0'(3'(x1)))))))))))))))))))) [1]
   1'(c_0(c_0(c_1(c_2(c_3(c_4(c_2(c_0(c_4(c_4(c_2(c_2(c_4(c_1(c_2(c_2(c_2(c_4(c_4(x1)))))))))))))))))))) -> 2'(4'(3'(0'(2'(0'(3'(1'(2'(1'(1'(2'(2'(3'(0'(2'(4'(3'(1'(3'(x1)))))))))))))))))))) [1]
   3'(c_2(c_2(c_3(c_4(c_3(c_2(c_2(c_0(c_4(c_1(c_4(c_3(c_4(c_2(c_1(c_4(c_1(c_0(c_2(x1)))))))))))))))))))) -> 2'(1'(3'(3'(3'(2'(2'(4'(0'(4'(0'(4'(2'(0'(2'(1'(3'(3'(3'(3'(x1)))))))))))))))))))) [1]
   3'(c_3(c_2(c_4(c_3(c_0(c_2(c_1(c_4(c_3(c_3(c_4(c_4(c_1(c_1(c_4(c_3(c_3(c_2(c_2(x1)))))))))))))))))))) -> 4'(1'(2'(3'(2'(0'(3'(3'(0'(3'(2'(3'(1'(1'(2'(0'(1'(0'(2'(2'(x1)))))))))))))))))))) [1]
   4'(c_1(c_4(c_3(c_1(c_0(c_4(c_4(c_1(c_3(c_3(c_2(c_2(c_1(c_2(c_2(c_3(c_2(c_0(c_0(x1)))))))))))))))))))) -> 2'(2'(4'(4'(3'(3'(2'(1'(4'(4'(3'(2'(3'(4'(1'(2'(1'(1'(3'(0'(x1)))))))))))))))))))) [1]
   2'(c_3(c_4(c_4(c_4(c_3(c_0(c_0(c_2(c_3(c_4(c_3(c_0(c_4(c_3(c_0(c_1(c_2(c_4(c_2(x1)))))))))))))))))))) -> 3'(3'(2'(0'(4'(0'(2'(4'(2'(3'(2'(2'(4'(4'(0'(4'(0'(3'(4'(1'(x1)))))))))))))))))))) [1]
   1'(c_0(c_0(c_3(c_1(c_4(c_2(c_1(c_2(c_2(c_2(c_2(c_2(c_3(c_0(c_1(c_4(c_2(c_0(c_4(x1)))))))))))))))))))) -> 2'(4'(4'(0'(3'(3'(0'(3'(3'(3'(2'(4'(2'(2'(0'(0'(0'(0'(3'(3'(x1)))))))))))))))))))) [1]
   2'(c_0(c_3(c_2(c_0(c_3(c_2(c_4(c_1(c_2(c_3(c_1(c_4(c_1(c_3(c_3(c_3(c_0(c_1(c_3(x1)))))))))))))))))))) -> 3'(0'(3'(2'(1'(1'(1'(3'(4'(0'(3'(2'(0'(2'(2'(3'(2'(0'(3'(2'(x1)))))))))))))))))))) [1]
   3'(c_1(c_4(c_3(c_4(c_2(c_1(c_1(c_1(c_4(c_3(c_1(c_3(c_2(c_2(c_4(c_2(c_2(c_1(c_1(x1)))))))))))))))))))) -> 2'(1'(2'(4'(2'(4'(1'(4'(2'(1'(4'(0'(0'(1'(2'(3'(3'(2'(1'(3'(x1)))))))))))))))))))) [1]
   4'(c_1(c_2(c_3(c_2(c_0(c_0(c_1(c_0(c_2(c_3(c_1(c_3(c_2(c_3(c_1(c_0(c_1(c_4(c_2(x1)))))))))))))))))))) -> 1'(1'(1'(0'(2'(3'(0'(3'(3'(2'(4'(3'(3'(2'(0'(2'(1'(2'(3'(3'(x1)))))))))))))))))))) [1]
   3'(c_3(c_0(c_4(c_4(c_1(c_0(c_2(c_3(c_2(c_1(c_2(c_2(c_3(c_3(c_1(c_0(c_2(c_4(c_1(x1)))))))))))))))))))) -> 4'(2'(1'(2'(3'(3'(3'(3'(0'(2'(0'(3'(0'(2'(3'(1'(2'(1'(1'(0'(x1)))))))))))))))))))) [1]
   4'(c_3(c_0(c_3(c_4(c_3(c_3(c_0(c_1(c_3(c_2(c_3(c_3(c_4(c_3(c_0(c_0(c_3(c_4(c_2(x1)))))))))))))))))))) -> 1'(1'(0'(4'(0'(0'(0'(2'(4'(0'(2'(2'(3'(2'(3'(3'(0'(4'(3'(2'(x1)))))))))))))))))))) [1]
   2'(c_4(c_2(c_2(c_1(c_2(c_4(c_2(c_3(c_0(c_1(c_0(c_2(c_1(c_2(c_0(c_0(c_0(c_4(c_0(x1)))))))))))))))))))) -> 2'(3'(0'(2'(0'(3'(0'(2'(1'(0'(4'(2'(2'(1'(3'(1'(3'(0'(4'(3'(x1)))))))))))))))))))) [1]
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   0'(c_4(c_2(c_2(c_0(c_2(c_3(c_3(c_4(c_1(c_3(c_2(c_4(c_0(c_2(c_1(c_1(c_4(c_3(c_2(x1)))))))))))))))))))) -> 2'(4'(3'(3'(0'(3'(1'(2'(3'(3'(4'(2'(0'(0'(4'(2'(0'(1'(2'(2'(x1)))))))))))))))))))) [1]
   2'(c_0(c_2(c_4(c_2(c_2(c_2(c_4(c_3(c_0(c_0(c_1(c_0(c_1(c_0(c_3(c_0(c_3(c_2(c_4(x1)))))))))))))))))))) -> 0'(3'(0'(2'(2'(0'(2'(1'(3'(2'(3'(3'(0'(2'(0'(4'(3'(3'(3'(2'(x1)))))))))))))))))))) [1]
   4'(c_0(c_0(c_0(c_0(c_4(c_2(c_1(c_1(c_1(c_1(c_3(c_2(c_4(c_0(c_0(c_3(c_2(c_4(c_1(x1)))))))))))))))))))) -> 2'(1'(2'(2'(0'(2'(4'(3'(1'(0'(4'(1'(4'(0'(3'(4'(1'(3'(4'(4'(x1)))))))))))))))))))) [1]
   4'(c_4(c_2(c_2(c_0(c_0(c_3(c_0(c_3(c_1(c_2(c_3(c_3(c_1(c_2(c_2(c_2(c_4(c_4(c_4(x1)))))))))))))))))))) -> 4'(2'(3'(0'(2'(2'(0'(2'(2'(4'(3'(1'(1'(4'(4'(2'(4'(2'(3'(3'(x1)))))))))))))))))))) [1]
   2'(c_4(c_1(c_3(c_2(c_2(c_1(c_4(c_2(c_1(c_1(c_1(c_2(c_2(c_2(c_0(c_3(c_0(c_2(c_4(x1)))))))))))))))))))) -> 3'(3'(1'(4'(3'(2'(3'(2'(2'(3'(2'(1'(1'(0'(3'(3'(3'(4'(0'(2'(x1)))))))))))))))))))) [1]
   4'(c_2(c_3(c_0(c_2(c_2(c_4(c_0(c_0(c_3(c_1(c_2(c_0(c_4(c_2(c_0(c_2(c_3(c_3(c_0(x1)))))))))))))))))))) -> 2'(2'(2'(2'(4'(0'(3'(0'(4'(1'(2'(2'(1'(3'(3'(2'(0'(3'(1'(0'(x1)))))))))))))))))))) [1]
   2'(c_0(c_0(c_0(c_3(c_1(c_0(c_2(c_4(c_2(c_2(c_2(c_4(c_0(c_4(c_0(c_1(c_0(c_3(c_4(x1)))))))))))))))))))) -> 1'(4'(2'(4'(4'(4'(4'(3'(2'(4'(4'(3'(2'(2'(0'(0'(4'(1'(2'(2'(x1)))))))))))))))))))) [1]
   2'(c_3(c_3(c_3(c_0(c_0(c_1(c_0(c_2(c_4(c_3(c_1(c_1(c_3(c_2(c_1(c_2(c_2(c_2(c_1(x1)))))))))))))))))))) -> 3'(4'(2'(2'(0'(0'(0'(0'(2'(4'(2'(3'(2'(0'(3'(2'(3'(0'(2'(3'(x1)))))))))))))))))))) [1]
   3'(c_0(c_1(c_3(c_2(c_0(c_1(c_3(c_4(c_2(c_3(c_1(c_2(c_2(c_1(c_2(c_3(c_1(c_3(c_1(x1)))))))))))))))))))) -> 2'(3'(2'(3'(0'(2'(1'(2'(2'(4'(3'(3'(3'(2'(1'(0'(1'(3'(2'(2'(x1)))))))))))))))))))) [1]
   0'(c_2(c_4(c_2(c_1(c_2(c_3(c_0(c_1(c_2(c_0(c_3(c_0(c_4(c_1(c_0(c_2(c_0(c_2(c_0(x1)))))))))))))))))))) -> 3'(2'(3'(1'(0'(1'(2'(0'(2'(2'(3'(2'(0'(4'(4'(2'(0'(4'(4'(2'(x1)))))))))))))))))))) [1]
   1'(c_4(c_4(c_2(c_3(c_1(c_2(c_3(c_3(c_1(c_0(c_1(c_3(c_2(c_1(c_2(c_1(c_2(c_2(c_2(x1)))))))))))))))))))) -> 2'(0'(2'(0'(2'(0'(2'(0'(4'(2'(4'(2'(3'(2'(3'(1'(2'(2'(2'(1'(x1)))))))))))))))))))) [1]
   2'(c_1(c_4(c_1(c_3(c_4(c_3(c_2(c_2(c_0(c_1(c_0(c_2(c_1(c_0(c_3(c_4(c_2(c_4(c_2(x1)))))))))))))))))))) -> 4'(2'(2'(2'(3'(3'(4'(1'(4'(0'(2'(3'(2'(1'(0'(3'(2'(3'(3'(4'(x1)))))))))))))))))))) [1]
   0'(c_1(c_2(c_0(c_1(c_4(c_4(c_0(c_3(c_0(c_2(c_3(c_0(c_0(c_3(c_3(c_0(c_2(c_3(c_2(x1)))))))))))))))))))) -> 1'(3'(3'(2'(4'(2'(1'(2'(1'(2'(0'(2'(0'(3'(2'(2'(4'(0'(3'(3'(x1)))))))))))))))))))) [1]
   4'(c_1(c_1(c_1(c_4(c_2(c_4(c_2(c_0(c_2(c_3(c_3(c_1(c_3(c_0(c_2(c_2(c_0(c_0(c_3(x1)))))))))))))))))))) -> 0'(4'(2'(1'(2'(2'(2'(0'(4'(2'(3'(3'(0'(2'(1'(4'(0'(1'(4'(2'(x1)))))))))))))))))))) [1]
   4'(c_0(c_2(c_2(c_4(c_3(c_1(c_3(c_4(c_0(c_0(c_0(c_2(c_2(c_2(c_3(c_0(c_4(c_2(c_4(x1)))))))))))))))))))) -> 2'(1'(3'(3'(4'(4'(1'(0'(3'(2'(2'(3'(0'(0'(4'(3'(3'(4'(2'(2'(x1)))))))))))))))))))) [1]
   3'(c_0(c_2(c_4(c_0(c_4(c_0(c_1(c_2(c_1(c_4(c_3(c_0(c_4(c_3(c_0(c_3(c_3(c_3(c_2(x1)))))))))))))))))))) -> 1'(0'(4'(3'(1'(4'(2'(3'(3'(4'(3'(0'(0'(2'(2'(3'(4'(0'(4'(2'(x1)))))))))))))))))))) [1]
   4'(c_3(c_3(c_3(c_0(c_2(c_1(c_2(c_2(c_3(c_2(c_0(c_1(c_1(c_4(c_1(c_3(c_4(c_2(c_4(x1)))))))))))))))))))) -> 3'(4'(1'(3'(3'(2'(1'(2'(1'(1'(0'(2'(2'(0'(0'(1'(1'(2'(3'(2'(x1)))))))))))))))))))) [1]
   0'(c_2(c_2(c_1(c_2(c_0(c_3(c_1(c_2(c_2(c_4(c_1(c_2(c_0(c_2(c_4(c_0(c_1(c_0(c_3(x1)))))))))))))))))))) -> 2'(4'(3'(0'(3'(0'(2'(3'(0'(4'(2'(2'(2'(3'(3'(2'(4'(3'(1'(1'(x1)))))))))))))))))))) [1]
   2'(c_4(c_2(c_2(c_1(c_1(c_2(c_3(c_0(c_1(c_0(c_0(c_3(c_2(c_1(c_0(c_0(c_1(c_0(c_2(x1)))))))))))))))))))) -> 2'(2'(2'(3'(3'(4'(1'(4'(3'(0'(0'(2'(0'(1'(1'(2'(3'(0'(2'(4'(x1)))))))))))))))))))) [1]
   2'(c_4(c_0(c_0(c_4(c_2(c_1(c_3(c_3(c_3(c_2(c_0(c_4(c_1(c_4(c_0(c_2(c_1(c_3(c_2(x1)))))))))))))))))))) -> 0'(4'(2'(4'(0'(3'(2'(1'(2'(4'(2'(2'(3'(1'(0'(1'(2'(3'(3'(2'(x1)))))))))))))))))))) [1]
   2'(c_0(c_4(c_2(c_1(c_3(c_4(c_4(c_2(c_1(c_0(c_3(c_2(c_1(c_3(c_2(c_1(c_4(c_2(c_4(x1)))))))))))))))))))) -> 0'(2'(4'(2'(2'(2'(0'(2'(4'(3'(3'(2'(3'(3'(4'(1'(0'(3'(0'(4'(x1)))))))))))))))))))) [1]
   3'(c_2(c_0(c_3(c_4(c_4(c_4(c_1(c_0(c_2(c_2(c_1(c_4(c_0(c_0(c_4(c_3(c_2(c_3(c_1(x1)))))))))))))))))))) -> 0'(4'(0'(3'(4'(2'(0'(3'(1'(3'(3'(1'(1'(0'(3'(2'(2'(3'(0'(3'(x1)))))))))))))))))))) [1]
   1'(c_1(c_0(c_0(c_1(c_3(c_2(c_4(c_3(c_1(c_4(c_0(c_4(c_1(c_2(c_2(c_2(c_3(c_3(c_2(x1)))))))))))))))))))) -> 3'(1'(4'(3'(1'(0'(3'(4'(0'(3'(2'(2'(4'(0'(2'(3'(3'(2'(2'(0'(x1)))))))))))))))))))) [1]
   0'(c_4(c_2(c_0(c_0(c_3(c_2(c_1(c_0(c_1(c_3(c_1(c_2(c_4(c_4(c_0(c_2(c_3(c_2(c_2(x1)))))))))))))))))))) -> 2'(1'(2'(2'(3'(3'(2'(0'(4'(4'(3'(3'(1'(0'(0'(3'(4'(2'(2'(4'(x1)))))))))))))))))))) [1]
   4'(c_4(c_4(c_1(c_3(c_3(c_4(c_4(c_2(c_2(c_0(c_1(c_0(c_2(c_4(c_3(c_2(c_2(c_0(c_2(x1)))))))))))))))))))) -> 4'(3'(2'(3'(2'(2'(0'(0'(1'(3'(4'(2'(2'(2'(4'(4'(1'(2'(0'(2'(x1)))))))))))))))))))) [1]
   3'(c_0(c_3(c_2(c_0(c_0(c_2(c_2(c_3(c_0(c_0(c_4(c_3(c_4(c_2(c_4(c_2(c_3(c_3(c_3(x1)))))))))))))))))))) -> 3'(0'(0'(1'(3'(2'(2'(2'(3'(3'(2'(0'(1'(2'(3'(3'(4'(2'(2'(4'(x1)))))))))))))))))))) [1]
   4'(c_0(c_4(c_2(c_2(c_3(c_3(c_2(c_2(c_1(c_2(c_1(c_0(c_1(c_0(c_3(c_2(c_1(c_2(c_0(x1)))))))))))))))))))) -> 1'(1'(2'(2'(0'(0'(4'(4'(2'(3'(3'(3'(2'(2'(2'(0'(3'(0'(0'(2'(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:
2' :: c_1:c_4:c_2:c_0:c_3 -> c_1:c_4:c_2:c_0:c_3
c_1 :: c_1:c_4:c_2:c_0:c_3 -> c_1:c_4:c_2:c_0:c_3
c_3 :: c_1:c_4:c_2:c_0:c_3 -> c_1:c_4:c_2:c_0:c_3
c_4 :: c_1:c_4:c_2:c_0:c_3 -> c_1:c_4:c_2:c_0:c_3
c_0 :: c_1:c_4:c_2:c_0:c_3 -> c_1:c_4:c_2:c_0:c_3
c_2 :: c_1:c_4:c_2:c_0:c_3 -> c_1:c_4:c_2:c_0:c_3
3' :: c_1:c_4:c_2:c_0:c_3 -> c_1:c_4:c_2:c_0:c_3
0' :: c_1:c_4:c_2:c_0:c_3 -> c_1:c_4:c_2:c_0:c_3
1' :: c_1:c_4:c_2:c_0:c_3 -> c_1:c_4:c_2:c_0:c_3
4' :: c_1:c_4:c_2:c_0:c_3 -> c_1:c_4:c_2:c_0:c_3
encArg :: cons_0:cons_1:cons_2:cons_3:cons_4 -> c_1:c_4:c_2:c_0: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_1:c_4:c_2:c_0:c_3
encode_1 :: cons_0:cons_1:cons_2:cons_3:cons_4 -> c_1:c_4:c_2:c_0:c_3
encode_2 :: cons_0:cons_1:cons_2:cons_3:cons_4 -> c_1:c_4:c_2:c_0:c_3
encode_3 :: cons_0:cons_1:cons_2:cons_3:cons_4 -> c_1:c_4:c_2:c_0:c_3
encode_4 :: cons_0:cons_1:cons_2:cons_3:cons_4 -> c_1:c_4:c_2:c_0: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:

   2'(c_1(c_3(c_4(c_1(c_0(c_3(c_2(c_0(c_3(c_0(c_1(c_1(c_4(c_0(c_0(c_2(c_4(c_4(c_1(x1)))))))))))))))))))) -> 3'(0'(3'(2'(1'(4'(1'(4'(0'(0'(2'(2'(0'(1'(1'(0'(4'(1'(2'(1'(x1)))))))))))))))))))) [1]
   2'(c_1(c_4(c_4(c_0(c_1(c_2(c_0(c_2(c_3(c_0(c_2(c_1(c_2(c_3(c_0(c_2(c_3(c_1(c_3(x1)))))))))))))))))))) -> 0'(3'(2'(3'(2'(3'(0'(2'(2'(0'(2'(3'(1'(3'(3'(3'(1'(2'(4'(2'(x1)))))))))))))))))))) [1]
   3'(c_0(c_1(c_4(c_2(c_2(c_3(c_4(c_4(c_3(c_0(c_2(c_1(c_4(c_1(c_0(c_1(c_0(c_2(c_3(x1)))))))))))))))))))) -> 4'(2'(0'(4'(1'(1'(2'(0'(2'(4'(0'(3'(4'(4'(3'(2'(0'(3'(3'(2'(x1)))))))))))))))))))) [1]
   0'(c_1(c_4(c_2(c_2(c_0(c_3(c_2(c_0(c_4(c_1(c_3(c_2(c_0(c_0(c_3(c_2(c_3(c_0(c_2(x1)))))))))))))))))))) -> 2'(4'(2'(1'(2'(2'(3'(0'(2'(0'(1'(2'(2'(0'(1'(2'(0'(0'(4'(2'(x1)))))))))))))))))))) [1]
   1'(c_3(c_3(c_4(c_4(c_2(c_3(c_1(c_3(c_3(c_0(c_3(c_4(c_2(c_2(c_4(c_2(c_2(c_4(c_4(x1)))))))))))))))))))) -> 0'(4'(2'(4'(3'(3'(2'(1'(4'(2'(4'(4'(3'(2'(2'(3'(1'(2'(2'(0'(x1)))))))))))))))))))) [1]
   3'(c_1(c_1(c_1(c_2(c_0(c_1(c_3(c_3(c_2(c_1(c_3(c_4(c_1(c_2(c_2(c_3(c_3(c_2(c_3(x1)))))))))))))))))))) -> 2'(3'(2'(2'(4'(3'(4'(2'(3'(1'(2'(2'(4'(2'(3'(0'(4'(3'(0'(3'(x1)))))))))))))))))))) [1]
   1'(c_0(c_0(c_1(c_2(c_3(c_4(c_2(c_0(c_4(c_4(c_2(c_2(c_4(c_1(c_2(c_2(c_2(c_4(c_4(x1)))))))))))))))))))) -> 2'(4'(3'(0'(2'(0'(3'(1'(2'(1'(1'(2'(2'(3'(0'(2'(4'(3'(1'(3'(x1)))))))))))))))))))) [1]
   3'(c_2(c_2(c_3(c_4(c_3(c_2(c_2(c_0(c_4(c_1(c_4(c_3(c_4(c_2(c_1(c_4(c_1(c_0(c_2(x1)))))))))))))))))))) -> 2'(1'(3'(3'(3'(2'(2'(4'(0'(4'(0'(4'(2'(0'(2'(1'(3'(3'(3'(3'(x1)))))))))))))))))))) [1]
   3'(c_3(c_2(c_4(c_3(c_0(c_2(c_1(c_4(c_3(c_3(c_4(c_4(c_1(c_1(c_4(c_3(c_3(c_2(c_2(x1)))))))))))))))))))) -> 4'(1'(2'(3'(2'(0'(3'(3'(0'(3'(2'(3'(1'(1'(2'(0'(1'(0'(2'(2'(x1)))))))))))))))))))) [1]
   4'(c_1(c_4(c_3(c_1(c_0(c_4(c_4(c_1(c_3(c_3(c_2(c_2(c_1(c_2(c_2(c_3(c_2(c_0(c_0(x1)))))))))))))))))))) -> 2'(2'(4'(4'(3'(3'(2'(1'(4'(4'(3'(2'(3'(4'(1'(2'(1'(1'(3'(0'(x1)))))))))))))))))))) [1]
   2'(c_3(c_4(c_4(c_4(c_3(c_0(c_0(c_2(c_3(c_4(c_3(c_0(c_4(c_3(c_0(c_1(c_2(c_4(c_2(x1)))))))))))))))))))) -> 3'(3'(2'(0'(4'(0'(2'(4'(2'(3'(2'(2'(4'(4'(0'(4'(0'(3'(4'(1'(x1)))))))))))))))))))) [1]
   1'(c_0(c_0(c_3(c_1(c_4(c_2(c_1(c_2(c_2(c_2(c_2(c_2(c_3(c_0(c_1(c_4(c_2(c_0(c_4(x1)))))))))))))))))))) -> 2'(4'(4'(0'(3'(3'(0'(3'(3'(3'(2'(4'(2'(2'(0'(0'(0'(0'(3'(3'(x1)))))))))))))))))))) [1]
   2'(c_0(c_3(c_2(c_0(c_3(c_2(c_4(c_1(c_2(c_3(c_1(c_4(c_1(c_3(c_3(c_3(c_0(c_1(c_3(x1)))))))))))))))))))) -> 3'(0'(3'(2'(1'(1'(1'(3'(4'(0'(3'(2'(0'(2'(2'(3'(2'(0'(3'(2'(x1)))))))))))))))))))) [1]
   3'(c_1(c_4(c_3(c_4(c_2(c_1(c_1(c_1(c_4(c_3(c_1(c_3(c_2(c_2(c_4(c_2(c_2(c_1(c_1(x1)))))))))))))))))))) -> 2'(1'(2'(4'(2'(4'(1'(4'(2'(1'(4'(0'(0'(1'(2'(3'(3'(2'(1'(3'(x1)))))))))))))))))))) [1]
   4'(c_1(c_2(c_3(c_2(c_0(c_0(c_1(c_0(c_2(c_3(c_1(c_3(c_2(c_3(c_1(c_0(c_1(c_4(c_2(x1)))))))))))))))))))) -> 1'(1'(1'(0'(2'(3'(0'(3'(3'(2'(4'(3'(3'(2'(0'(2'(1'(2'(3'(3'(x1)))))))))))))))))))) [1]
   3'(c_3(c_0(c_4(c_4(c_1(c_0(c_2(c_3(c_2(c_1(c_2(c_2(c_3(c_3(c_1(c_0(c_2(c_4(c_1(x1)))))))))))))))))))) -> 4'(2'(1'(2'(3'(3'(3'(3'(0'(2'(0'(3'(0'(2'(3'(1'(2'(1'(1'(0'(x1)))))))))))))))))))) [1]
   4'(c_3(c_0(c_3(c_4(c_3(c_3(c_0(c_1(c_3(c_2(c_3(c_3(c_4(c_3(c_0(c_0(c_3(c_4(c_2(x1)))))))))))))))))))) -> 1'(1'(0'(4'(0'(0'(0'(2'(4'(0'(2'(2'(3'(2'(3'(3'(0'(4'(3'(2'(x1)))))))))))))))))))) [1]
   2'(c_4(c_2(c_2(c_1(c_2(c_4(c_2(c_3(c_0(c_1(c_0(c_2(c_1(c_2(c_0(c_0(c_0(c_4(c_0(x1)))))))))))))))))))) -> 2'(3'(0'(2'(0'(3'(0'(2'(1'(0'(4'(2'(2'(1'(3'(1'(3'(0'(4'(3'(x1)))))))))))))))))))) [1]
   3'(c_1(c_1(c_0(c_0(c_2(c_2(c_4(c_2(c_2(c_2(c_2(c_1(c_2(c_2(c_1(c_1(c_1(c_1(c_4(x1)))))))))))))))))))) -> 4'(2'(1'(4'(1'(3'(2'(2'(4'(4'(2'(3'(3'(3'(3'(2'(4'(3'(2'(3'(x1)))))))))))))))))))) [1]
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   2'(c_0(c_2(c_4(c_2(c_2(c_2(c_4(c_3(c_0(c_0(c_1(c_0(c_1(c_0(c_3(c_0(c_3(c_2(c_4(x1)))))))))))))))))))) -> 0'(3'(0'(2'(2'(0'(2'(1'(3'(2'(3'(3'(0'(2'(0'(4'(3'(3'(3'(2'(x1)))))))))))))))))))) [1]
   4'(c_0(c_0(c_0(c_0(c_4(c_2(c_1(c_1(c_1(c_1(c_3(c_2(c_4(c_0(c_0(c_3(c_2(c_4(c_1(x1)))))))))))))))))))) -> 2'(1'(2'(2'(0'(2'(4'(3'(1'(0'(4'(1'(4'(0'(3'(4'(1'(3'(4'(4'(x1)))))))))))))))))))) [1]
   4'(c_4(c_2(c_2(c_0(c_0(c_3(c_0(c_3(c_1(c_2(c_3(c_3(c_1(c_2(c_2(c_2(c_4(c_4(c_4(x1)))))))))))))))))))) -> 4'(2'(3'(0'(2'(2'(0'(2'(2'(4'(3'(1'(1'(4'(4'(2'(4'(2'(3'(3'(x1)))))))))))))))))))) [1]
   2'(c_4(c_1(c_3(c_2(c_2(c_1(c_4(c_2(c_1(c_1(c_1(c_2(c_2(c_2(c_0(c_3(c_0(c_2(c_4(x1)))))))))))))))))))) -> 3'(3'(1'(4'(3'(2'(3'(2'(2'(3'(2'(1'(1'(0'(3'(3'(3'(4'(0'(2'(x1)))))))))))))))))))) [1]
   4'(c_2(c_3(c_0(c_2(c_2(c_4(c_0(c_0(c_3(c_1(c_2(c_0(c_4(c_2(c_0(c_2(c_3(c_3(c_0(x1)))))))))))))))))))) -> 2'(2'(2'(2'(4'(0'(3'(0'(4'(1'(2'(2'(1'(3'(3'(2'(0'(3'(1'(0'(x1)))))))))))))))))))) [1]
   2'(c_0(c_0(c_0(c_3(c_1(c_0(c_2(c_4(c_2(c_2(c_2(c_4(c_0(c_4(c_0(c_1(c_0(c_3(c_4(x1)))))))))))))))))))) -> 1'(4'(2'(4'(4'(4'(4'(3'(2'(4'(4'(3'(2'(2'(0'(0'(4'(1'(2'(2'(x1)))))))))))))))))))) [1]
   2'(c_3(c_3(c_3(c_0(c_0(c_1(c_0(c_2(c_4(c_3(c_1(c_1(c_3(c_2(c_1(c_2(c_2(c_2(c_1(x1)))))))))))))))))))) -> 3'(4'(2'(2'(0'(0'(0'(0'(2'(4'(2'(3'(2'(0'(3'(2'(3'(0'(2'(3'(x1)))))))))))))))))))) [1]
   3'(c_0(c_1(c_3(c_2(c_0(c_1(c_3(c_4(c_2(c_3(c_1(c_2(c_2(c_1(c_2(c_3(c_1(c_3(c_1(x1)))))))))))))))))))) -> 2'(3'(2'(3'(0'(2'(1'(2'(2'(4'(3'(3'(3'(2'(1'(0'(1'(3'(2'(2'(x1)))))))))))))))))))) [1]
   0'(c_2(c_4(c_2(c_1(c_2(c_3(c_0(c_1(c_2(c_0(c_3(c_0(c_4(c_1(c_0(c_2(c_0(c_2(c_0(x1)))))))))))))))))))) -> 3'(2'(3'(1'(0'(1'(2'(0'(2'(2'(3'(2'(0'(4'(4'(2'(0'(4'(4'(2'(x1)))))))))))))))))))) [1]
   1'(c_4(c_4(c_2(c_3(c_1(c_2(c_3(c_3(c_1(c_0(c_1(c_3(c_2(c_1(c_2(c_1(c_2(c_2(c_2(x1)))))))))))))))))))) -> 2'(0'(2'(0'(2'(0'(2'(0'(4'(2'(4'(2'(3'(2'(3'(1'(2'(2'(2'(1'(x1)))))))))))))))))))) [1]
   2'(c_1(c_4(c_1(c_3(c_4(c_3(c_2(c_2(c_0(c_1(c_0(c_2(c_1(c_0(c_3(c_4(c_2(c_4(c_2(x1)))))))))))))))))))) -> 4'(2'(2'(2'(3'(3'(4'(1'(4'(0'(2'(3'(2'(1'(0'(3'(2'(3'(3'(4'(x1)))))))))))))))))))) [1]
   0'(c_1(c_2(c_0(c_1(c_4(c_4(c_0(c_3(c_0(c_2(c_3(c_0(c_0(c_3(c_3(c_0(c_2(c_3(c_2(x1)))))))))))))))))))) -> 1'(3'(3'(2'(4'(2'(1'(2'(1'(2'(0'(2'(0'(3'(2'(2'(4'(0'(3'(3'(x1)))))))))))))))))))) [1]
   4'(c_1(c_1(c_1(c_4(c_2(c_4(c_2(c_0(c_2(c_3(c_3(c_1(c_3(c_0(c_2(c_2(c_0(c_0(c_3(x1)))))))))))))))))))) -> 0'(4'(2'(1'(2'(2'(2'(0'(4'(2'(3'(3'(0'(2'(1'(4'(0'(1'(4'(2'(x1)))))))))))))))))))) [1]
   4'(c_0(c_2(c_2(c_4(c_3(c_1(c_3(c_4(c_0(c_0(c_0(c_2(c_2(c_2(c_3(c_0(c_4(c_2(c_4(x1)))))))))))))))))))) -> 2'(1'(3'(3'(4'(4'(1'(0'(3'(2'(2'(3'(0'(0'(4'(3'(3'(4'(2'(2'(x1)))))))))))))))))))) [1]
   3'(c_0(c_2(c_4(c_0(c_4(c_0(c_1(c_2(c_1(c_4(c_3(c_0(c_4(c_3(c_0(c_3(c_3(c_3(c_2(x1)))))))))))))))))))) -> 1'(0'(4'(3'(1'(4'(2'(3'(3'(4'(3'(0'(0'(2'(2'(3'(4'(0'(4'(2'(x1)))))))))))))))))))) [1]
   4'(c_3(c_3(c_3(c_0(c_2(c_1(c_2(c_2(c_3(c_2(c_0(c_1(c_1(c_4(c_1(c_3(c_4(c_2(c_4(x1)))))))))))))))))))) -> 3'(4'(1'(3'(3'(2'(1'(2'(1'(1'(0'(2'(2'(0'(0'(1'(1'(2'(3'(2'(x1)))))))))))))))))))) [1]
   0'(c_2(c_2(c_1(c_2(c_0(c_3(c_1(c_2(c_2(c_4(c_1(c_2(c_0(c_2(c_4(c_0(c_1(c_0(c_3(x1)))))))))))))))))))) -> 2'(4'(3'(0'(3'(0'(2'(3'(0'(4'(2'(2'(2'(3'(3'(2'(4'(3'(1'(1'(x1)))))))))))))))))))) [1]
   2'(c_4(c_2(c_2(c_1(c_1(c_2(c_3(c_0(c_1(c_0(c_0(c_3(c_2(c_1(c_0(c_0(c_1(c_0(c_2(x1)))))))))))))))))))) -> 2'(2'(2'(3'(3'(4'(1'(4'(3'(0'(0'(2'(0'(1'(1'(2'(3'(0'(2'(4'(x1)))))))))))))))))))) [1]
   2'(c_4(c_0(c_0(c_4(c_2(c_1(c_3(c_3(c_3(c_2(c_0(c_4(c_1(c_4(c_0(c_2(c_1(c_3(c_2(x1)))))))))))))))))))) -> 0'(4'(2'(4'(0'(3'(2'(1'(2'(4'(2'(2'(3'(1'(0'(1'(2'(3'(3'(2'(x1)))))))))))))))))))) [1]
   2'(c_0(c_4(c_2(c_1(c_3(c_4(c_4(c_2(c_1(c_0(c_3(c_2(c_1(c_3(c_2(c_1(c_4(c_2(c_4(x1)))))))))))))))))))) -> 0'(2'(4'(2'(2'(2'(0'(2'(4'(3'(3'(2'(3'(3'(4'(1'(0'(3'(0'(4'(x1)))))))))))))))))))) [1]
   3'(c_2(c_0(c_3(c_4(c_4(c_4(c_1(c_0(c_2(c_2(c_1(c_4(c_0(c_0(c_4(c_3(c_2(c_3(c_1(x1)))))))))))))))))))) -> 0'(4'(0'(3'(4'(2'(0'(3'(1'(3'(3'(1'(1'(0'(3'(2'(2'(3'(0'(3'(x1)))))))))))))))))))) [1]
   1'(c_1(c_0(c_0(c_1(c_3(c_2(c_4(c_3(c_1(c_4(c_0(c_4(c_1(c_2(c_2(c_2(c_3(c_3(c_2(x1)))))))))))))))))))) -> 3'(1'(4'(3'(1'(0'(3'(4'(0'(3'(2'(2'(4'(0'(2'(3'(3'(2'(2'(0'(x1)))))))))))))))))))) [1]
   0'(c_4(c_2(c_0(c_0(c_3(c_2(c_1(c_0(c_1(c_3(c_1(c_2(c_4(c_4(c_0(c_2(c_3(c_2(c_2(x1)))))))))))))))))))) -> 2'(1'(2'(2'(3'(3'(2'(0'(4'(4'(3'(3'(1'(0'(0'(3'(4'(2'(2'(4'(x1)))))))))))))))))))) [1]
   4'(c_4(c_4(c_1(c_3(c_3(c_4(c_4(c_2(c_2(c_0(c_1(c_0(c_2(c_4(c_3(c_2(c_2(c_0(c_2(x1)))))))))))))))))))) -> 4'(3'(2'(3'(2'(2'(0'(0'(1'(3'(4'(2'(2'(2'(4'(4'(1'(2'(0'(2'(x1)))))))))))))))))))) [1]
   3'(c_0(c_3(c_2(c_0(c_0(c_2(c_2(c_3(c_0(c_0(c_4(c_3(c_4(c_2(c_4(c_2(c_3(c_3(c_3(x1)))))))))))))))))))) -> 3'(0'(0'(1'(3'(2'(2'(2'(3'(3'(2'(0'(1'(2'(3'(3'(4'(2'(2'(4'(x1)))))))))))))))))))) [1]
   4'(c_0(c_4(c_2(c_2(c_3(c_3(c_2(c_2(c_1(c_2(c_1(c_0(c_1(c_0(c_3(c_2(c_1(c_2(c_0(x1)))))))))))))))))))) -> 1'(1'(2'(2'(0'(0'(4'(4'(2'(3'(3'(3'(2'(2'(2'(0'(3'(0'(0'(2'(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:
2' :: c_1:c_4:c_2:c_0:c_3:const -> c_1:c_4:c_2:c_0:c_3:const
c_1 :: c_1:c_4:c_2:c_0:c_3:const -> c_1:c_4:c_2:c_0:c_3:const
c_3 :: c_1:c_4:c_2:c_0:c_3:const -> c_1:c_4:c_2:c_0:c_3:const
c_4 :: c_1:c_4:c_2:c_0:c_3:const -> c_1:c_4:c_2:c_0:c_3:const
c_0 :: c_1:c_4:c_2:c_0:c_3:const -> c_1:c_4:c_2:c_0:c_3:const
c_2 :: c_1:c_4:c_2:c_0:c_3:const -> c_1:c_4:c_2:c_0:c_3:const
3' :: c_1:c_4:c_2:c_0:c_3:const -> c_1:c_4:c_2:c_0:c_3:const
0' :: c_1:c_4:c_2:c_0:c_3:const -> c_1:c_4:c_2:c_0:c_3:const
1' :: c_1:c_4:c_2:c_0:c_3:const -> c_1:c_4:c_2:c_0:c_3:const
4' :: c_1:c_4:c_2:c_0:c_3:const -> c_1:c_4:c_2:c_0:c_3:const
encArg :: cons_0:cons_1:cons_2:cons_3:cons_4 -> c_1:c_4:c_2:c_0: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_1:c_4:c_2:c_0:c_3:const
encode_1 :: cons_0:cons_1:cons_2:cons_3:cons_4 -> c_1:c_4:c_2:c_0:c_3:const
encode_2 :: cons_0:cons_1:cons_2:cons_3:cons_4 -> c_1:c_4:c_2:c_0:c_3:const
encode_3 :: cons_0:cons_1:cons_2:cons_3:cons_4 -> c_1:c_4:c_2:c_0:c_3:const
encode_4 :: cons_0:cons_1:cons_2:cons_3:cons_4 -> c_1:c_4:c_2:c_0:c_3:const
const :: c_1:c_4:c_2:c_0: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:

   2'(c_1(c_3(c_4(c_1(c_0(c_3(c_2(c_0(c_3(c_0(c_1(c_1(c_4(c_0(c_0(c_2(c_4(c_4(c_1(c_3(c_3(c_4(c_4(c_2(c_3(c_1(c_3(c_3(c_0(c_3(c_4(c_2(c_2(c_4(c_2(c_2(c_4(c_4(x1'))))))))))))))))))))))))))))))))))))))) -> 3'(0'(3'(2'(1'(4'(1'(4'(0'(0'(2'(2'(0'(1'(1'(0'(4'(1'(2'(0'(4'(2'(4'(3'(3'(2'(1'(4'(2'(4'(4'(3'(2'(2'(3'(1'(2'(2'(0'(x1'))))))))))))))))))))))))))))))))))))))) [2]
   2'(c_1(c_3(c_4(c_1(c_0(c_3(c_2(c_0(c_3(c_0(c_1(c_1(c_4(c_0(c_0(c_2(c_4(c_4(c_1(c_0(c_0(c_1(c_2(c_3(c_4(c_2(c_0(c_4(c_4(c_2(c_2(c_4(c_1(c_2(c_2(c_2(c_4(c_4(x1''))))))))))))))))))))))))))))))))))))))) -> 3'(0'(3'(2'(1'(4'(1'(4'(0'(0'(2'(2'(0'(1'(1'(0'(4'(1'(2'(2'(4'(3'(0'(2'(0'(3'(1'(2'(1'(1'(2'(2'(3'(0'(2'(4'(3'(1'(3'(x1''))))))))))))))))))))))))))))))))))))))) [2]
   2'(c_1(c_3(c_4(c_1(c_0(c_3(c_2(c_0(c_3(c_0(c_1(c_1(c_4(c_0(c_0(c_2(c_4(c_4(c_1(c_0(c_0(c_3(c_1(c_4(c_2(c_1(c_2(c_2(c_2(c_2(c_2(c_3(c_0(c_1(c_4(c_2(c_0(c_4(x11))))))))))))))))))))))))))))))))))))))) -> 3'(0'(3'(2'(1'(4'(1'(4'(0'(0'(2'(2'(0'(1'(1'(0'(4'(1'(2'(2'(4'(4'(0'(3'(3'(0'(3'(3'(3'(2'(4'(2'(2'(0'(0'(0'(0'(3'(3'(x11))))))))))))))))))))))))))))))))))))))) [2]
   2'(c_1(c_3(c_4(c_1(c_0(c_3(c_2(c_0(c_3(c_0(c_1(c_1(c_4(c_0(c_0(c_2(c_4(c_4(c_1(c_1(c_1(c_1(c_2(c_4(c_4(c_3(c_0(c_2(c_3(c_3(c_1(c_3(c_0(c_1(c_4(c_2(c_2(c_3(x12))))))))))))))))))))))))))))))))))))))) -> 3'(0'(3'(2'(1'(4'(1'(4'(0'(0'(2'(2'(0'(1'(1'(0'(4'(1'(2'(3'(4'(2'(1'(1'(0'(1'(2'(1'(4'(4'(2'(3'(3'(4'(2'(1'(2'(3'(2'(x12))))))))))))))))))))))))))))))))))))))) [2]
   2'(c_1(c_3(c_4(c_1(c_0(c_3(c_2(c_0(c_3(c_0(c_1(c_1(c_4(c_0(c_0(c_2(c_4(c_4(c_1(c_0(c_0(c_4(c_0(c_0(c_2(c_3(c_2(c_2(c_3(c_3(c_1(c_3(c_4(c_3(c_2(c_2(c_1(c_1(x13))))))))))))))))))))))))))))))))))))))) -> 3'(0'(3'(2'(1'(4'(1'(4'(0'(0'(2'(2'(0'(1'(1'(0'(4'(1'(2'(1'(2'(2'(2'(0'(0'(2'(2'(3'(0'(4'(4'(2'(1'(4'(2'(2'(2'(4'(1'(x13))))))))))))))))))))))))))))))))))))))) [2]
   2'(c_1(c_3(c_4(c_1(c_0(c_3(c_2(c_0(c_3(c_0(c_1(c_1(c_4(c_0(c_0(c_2(c_4(c_4(c_1(c_1(c_2(c_0(c_4(c_1(c_3(c_1(c_2(c_2(c_0(c_4(c_0(c_2(c_3(c_4(c_4(c_0(c_2(c_3(x14))))))))))))))))))))))))))))))))))))))) -> 3'(0'(3'(2'(1'(4'(1'(4'(0'(0'(2'(2'(0'(1'(1'(0'(4'(1'(2'(1'(0'(2'(2'(4'(0'(3'(1'(0'(0'(3'(0'(2'(1'(1'(2'(2'(3'(1'(0'(x14))))))))))))))))))))))))))))))))))))))) [2]
   2'(c_1(c_3(c_4(c_1(c_0(c_3(c_2(c_0(c_3(c_0(c_1(c_1(c_4(c_0(c_0(c_2(c_4(c_4(c_1(c_3(c_2(c_3(c_1(c_0(c_3(c_3(c_0(c_1(c_2(c_0(c_2(c_2(c_2(c_0(c_1(c_3(c_1(c_0(x15))))))))))))))))))))))))))))))))))))))) -> 3'(0'(3'(2'(1'(4'(1'(4'(0'(0'(2'(2'(0'(1'(1'(0'(4'(1'(2'(3'(3'(4'(3'(1'(2'(2'(4'(4'(0'(2'(2'(2'(2'(0'(0'(2'(0'(1'(4'(x15))))))))))))))))))))))))))))))))))))))) [2]
   2'(c_1(c_3(c_4(c_1(c_0(c_3(c_2(c_0(c_3(c_0(c_1(c_1(c_4(c_0(c_0(c_2(c_4(c_4(c_1(c_1(c_2(c_1(c_3(c_4(c_0(c_2(c_2(c_3(c_3(c_3(c_3(c_0(c_1(c_0(c_4(c_3(c_0(c_2(x16))))))))))))))))))))))))))))))))))))))) -> 3'(0'(3'(2'(1'(4'(1'(4'(0'(0'(2'(2'(0'(1'(1'(0'(4'(1'(2'(3'(2'(1'(4'(2'(2'(3'(4'(2'(3'(1'(4'(2'(3'(0'(3'(3'(4'(0'(3'(x16))))))))))))))))))))))))))))))))))))))) [2]
   2'(c_1(c_3(c_4(c_1(c_0(c_3(c_2(c_0(c_3(c_0(c_1(c_1(c_4(c_0(c_0(c_2(c_4(c_4(c_1(c_1(c_3(c_3(c_1(c_1(c_3(c_2(c_3(c_2(c_0(c_4(c_2(c_0(c_2(c_1(c_1(c_0(c_4(c_1(x17))))))))))))))))))))))))))))))))))))))) -> 3'(0'(3'(2'(1'(4'(1'(4'(0'(0'(2'(2'(0'(1'(1'(0'(4'(1'(2'(2'(3'(4'(2'(0'(0'(0'(0'(3'(1'(2'(2'(4'(1'(2'(3'(1'(0'(4'(4'(x17))))))))))))))))))))))))))))))))))))))) [2]
   2'(c_1(c_3(c_4(c_1(c_0(c_3(c_2(c_0(c_3(c_0(c_1(c_1(c_4(c_0(c_0(c_2(c_4(c_4(c_1(c_3(c_1(c_4(c_0(c_1(c_4(c_3(c_0(c_4(c_2(c_1(c_0(c_0(c_1(c_2(c_3(c_2(c_2(c_3(x18))))))))))))))))))))))))))))))))))))))) -> 3'(0'(3'(2'(1'(4'(1'(4'(0'(0'(2'(2'(0'(1'(1'(0'(4'(1'(2'(0'(4'(0'(3'(0'(3'(0'(3'(2'(0'(1'(0'(0'(2'(1'(3'(2'(1'(2'(0'(x18))))))))))))))))))))))))))))))))))))))) [2]
   2'(c_1(c_3(c_4(c_1(c_0(c_3(c_2(c_0(c_3(c_0(c_1(c_1(c_4(c_0(c_0(c_2(c_4(c_4(c_1(c_0(c_2(c_1(c_1(c_1(c_2(c_0(c_0(c_2(c_1(c_3(c_3(c_3(c_1(c_4(c_1(c_0(c_0(c_1(x19))))))))))))))))))))))))))))))))))))))) -> 3'(0'(3'(2'(1'(4'(1'(4'(0'(0'(2'(2'(0'(1'(1'(0'(4'(1'(2'(2'(2'(1'(0'(1'(4'(3'(2'(3'(0'(0'(0'(4'(3'(2'(1'(1'(2'(0'(2'(x19))))))))))))))))))))))))))))))))))))))) [2]
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   2'(c_3(c_4(c_4(c_4(c_3(c_0(c_0(c_2(c_3(c_4(c_3(c_0(c_4(c_3(c_0(c_1(c_2(c_4(c_2(c_3(c_3(c_4(c_4(c_2(c_3(c_1(c_3(c_3(c_0(c_3(c_4(c_2(c_2(c_4(c_2(c_2(c_4(c_4(x1218))))))))))))))))))))))))))))))))))))))) -> 3'(3'(2'(0'(4'(0'(2'(4'(2'(3'(2'(2'(4'(4'(0'(4'(0'(3'(4'(0'(4'(2'(4'(3'(3'(2'(1'(4'(2'(4'(4'(3'(2'(2'(3'(1'(2'(2'(0'(x1218))))))))))))))))))))))))))))))))))))))) [2]
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   2'(c_4(c_2(c_2(c_1(c_2(c_4(c_2(c_3(c_0(c_1(c_0(c_2(c_1(c_2(c_0(c_0(c_0(c_4(c_0(x1)))))))))))))))))))) -> 2'(3'(0'(2'(0'(3'(0'(2'(1'(0'(4'(2'(2'(1'(3'(1'(3'(0'(4'(3'(x1)))))))))))))))))))) [1]
   3'(c_1(c_1(c_0(c_0(c_2(c_2(c_4(c_2(c_2(c_2(c_2(c_1(c_2(c_2(c_1(c_1(c_1(c_1(c_4(x1)))))))))))))))))))) -> 4'(2'(1'(4'(1'(3'(2'(2'(4'(4'(2'(3'(3'(3'(3'(2'(4'(3'(2'(3'(x1)))))))))))))))))))) [1]
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   3'(c_2(c_3(c_2(c_2(c_0(c_0(c_4(c_1(c_0(c_0(c_4(c_0(c_3(c_3(c_2(c_2(c_1(c_0(c_3(x1)))))))))))))))))))) -> 1'(3'(1'(2'(0'(4'(0'(3'(2'(4'(3'(0'(2'(1'(2'(2'(1'(2'(2'(3'(x1)))))))))))))))))))) [1]
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   1'(c_1(c_0(c_0(c_1(c_3(c_2(c_4(c_3(c_1(c_4(c_0(c_4(c_1(c_2(c_2(c_2(c_3(c_3(c_2(c_2(c_1(c_3(c_0(c_0(c_4(c_4(c_4(c_0(c_0(c_3(c_2(c_1(c_2(c_4(c_0(c_1(c_2(c_2(x12096))))))))))))))))))))))))))))))))))))))) -> 3'(1'(4'(3'(1'(0'(3'(4'(0'(3'(2'(2'(4'(0'(2'(3'(3'(2'(2'(0'(4'(0'(0'(2'(3'(0'(4'(1'(2'(3'(0'(3'(0'(1'(4'(2'(2'(3'(3'(x12096))))))))))))))))))))))))))))))))))))))) [2]
   1'(c_1(c_0(c_0(c_1(c_3(c_2(c_4(c_3(c_1(c_4(c_0(c_4(c_1(c_2(c_2(c_2(c_3(c_3(c_2(c_0(c_0(c_0(c_1(c_2(c_2(c_3(c_3(c_2(c_0(c_0(c_0(c_4(c_2(c_0(c_1(c_2(c_4(c_2(x12097))))))))))))))))))))))))))))))))))))))) -> 3'(1'(4'(3'(1'(0'(3'(4'(0'(3'(2'(2'(4'(0'(2'(3'(3'(2'(2'(1'(1'(1'(3'(0'(3'(0'(2'(3'(2'(2'(4'(1'(2'(3'(4'(1'(2'(2'(4'(x12097))))))))))))))))))))))))))))))))))))))) [2]
   1'(c_1(c_0(c_0(c_1(c_3(c_2(c_4(c_3(c_1(c_4(c_0(c_4(c_1(c_2(c_2(c_2(c_3(c_3(c_2(c_4(c_2(c_2(c_0(c_2(c_3(c_3(c_4(c_1(c_3(c_2(c_4(c_0(c_2(c_1(c_1(c_4(c_3(c_2(x12098))))))))))))))))))))))))))))))))))))))) -> 3'(1'(4'(3'(1'(0'(3'(4'(0'(3'(2'(2'(4'(0'(2'(3'(3'(2'(2'(2'(4'(3'(3'(0'(3'(1'(2'(3'(3'(4'(2'(0'(0'(4'(2'(0'(1'(2'(2'(x12098))))))))))))))))))))))))))))))))))))))) [2]
   1'(c_1(c_0(c_0(c_1(c_3(c_2(c_4(c_3(c_1(c_4(c_0(c_4(c_1(c_2(c_2(c_2(c_3(c_3(c_2(c_2(c_4(c_2(c_1(c_2(c_3(c_0(c_1(c_2(c_0(c_3(c_0(c_4(c_1(c_0(c_2(c_0(c_2(c_0(x12099))))))))))))))))))))))))))))))))))))))) -> 3'(1'(4'(3'(1'(0'(3'(4'(0'(3'(2'(2'(4'(0'(2'(3'(3'(2'(2'(3'(2'(3'(1'(0'(1'(2'(0'(2'(2'(3'(2'(0'(4'(4'(2'(0'(4'(4'(2'(x12099))))))))))))))))))))))))))))))))))))))) [2]
   1'(c_1(c_0(c_0(c_1(c_3(c_2(c_4(c_3(c_1(c_4(c_0(c_4(c_1(c_2(c_2(c_2(c_3(c_3(c_2(c_1(c_2(c_0(c_1(c_4(c_4(c_0(c_3(c_0(c_2(c_3(c_0(c_0(c_3(c_3(c_0(c_2(c_3(c_2(x12100))))))))))))))))))))))))))))))))))))))) -> 3'(1'(4'(3'(1'(0'(3'(4'(0'(3'(2'(2'(4'(0'(2'(3'(3'(2'(2'(1'(3'(3'(2'(4'(2'(1'(2'(1'(2'(0'(2'(0'(3'(2'(2'(4'(0'(3'(3'(x12100))))))))))))))))))))))))))))))))))))))) [2]
   1'(c_1(c_0(c_0(c_1(c_3(c_2(c_4(c_3(c_1(c_4(c_0(c_4(c_1(c_2(c_2(c_2(c_3(c_3(c_2(c_2(c_2(c_1(c_2(c_0(c_3(c_1(c_2(c_2(c_4(c_1(c_2(c_0(c_2(c_4(c_0(c_1(c_0(c_3(x12101))))))))))))))))))))))))))))))))))))))) -> 3'(1'(4'(3'(1'(0'(3'(4'(0'(3'(2'(2'(4'(0'(2'(3'(3'(2'(2'(2'(4'(3'(0'(3'(0'(2'(3'(0'(4'(2'(2'(2'(3'(3'(2'(4'(3'(1'(1'(x12101))))))))))))))))))))))))))))))))))))))) [2]
   1'(c_1(c_0(c_0(c_1(c_3(c_2(c_4(c_3(c_1(c_4(c_0(c_4(c_1(c_2(c_2(c_2(c_3(c_3(c_2(c_4(c_2(c_0(c_0(c_3(c_2(c_1(c_0(c_1(c_3(c_1(c_2(c_4(c_4(c_0(c_2(c_3(c_2(c_2(x12102))))))))))))))))))))))))))))))))))))))) -> 3'(1'(4'(3'(1'(0'(3'(4'(0'(3'(2'(2'(4'(0'(2'(3'(3'(2'(2'(2'(1'(2'(2'(3'(3'(2'(0'(4'(4'(3'(3'(1'(0'(0'(3'(4'(2'(2'(4'(x12102))))))))))))))))))))))))))))))))))))))) [2]
   1'(c_1(c_0(c_0(c_1(c_3(c_2(c_4(c_3(c_1(c_4(c_0(c_4(c_1(c_2(c_2(c_2(c_3(c_3(c_2(x1)))))))))))))))))))) -> 3'(1'(4'(3'(1'(0'(3'(4'(0'(3'(2'(2'(4'(0'(2'(3'(3'(2'(2'(c_0(x1)))))))))))))))))))) [1]
   1'(c_1(c_0(c_0(c_1(c_3(c_2(c_4(c_3(c_1(c_4(c_0(c_4(c_1(c_2(c_2(c_2(c_3(c_3(c_2(x1)))))))))))))))))))) -> 3'(1'(4'(3'(1'(0'(3'(4'(0'(3'(2'(2'(4'(0'(2'(3'(3'(2'(2'(const))))))))))))))))))) [1]
   0'(c_4(c_2(c_0(c_0(c_3(c_2(c_1(c_0(c_1(c_3(c_1(c_2(c_4(c_4(c_0(c_2(c_3(c_2(c_2(x1)))))))))))))))))))) -> 2'(1'(2'(2'(3'(3'(2'(0'(4'(4'(3'(3'(1'(0'(0'(3'(4'(2'(2'(4'(x1)))))))))))))))))))) [1]
   4'(c_4(c_4(c_1(c_3(c_3(c_4(c_4(c_2(c_2(c_0(c_1(c_0(c_2(c_4(c_3(c_2(c_2(c_0(c_2(x1)))))))))))))))))))) -> 4'(3'(2'(3'(2'(2'(0'(0'(1'(3'(4'(2'(2'(2'(4'(4'(1'(2'(0'(2'(x1)))))))))))))))))))) [1]
   3'(c_0(c_3(c_2(c_0(c_0(c_2(c_2(c_3(c_0(c_0(c_4(c_3(c_4(c_2(c_4(c_2(c_3(c_3(c_3(x1)))))))))))))))))))) -> 3'(0'(0'(1'(3'(2'(2'(2'(3'(3'(2'(0'(1'(2'(3'(3'(4'(2'(2'(4'(x1)))))))))))))))))))) [1]
   4'(c_0(c_4(c_2(c_2(c_3(c_3(c_2(c_2(c_1(c_2(c_1(c_0(c_1(c_0(c_3(c_2(c_1(c_2(c_0(x1)))))))))))))))))))) -> 1'(1'(2'(2'(0'(0'(4'(4'(2'(3'(3'(3'(2'(2'(2'(0'(3'(0'(0'(2'(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:
2' :: c_1:c_4:c_2:c_0:c_3:const -> c_1:c_4:c_2:c_0:c_3:const
c_1 :: c_1:c_4:c_2:c_0:c_3:const -> c_1:c_4:c_2:c_0:c_3:const
c_3 :: c_1:c_4:c_2:c_0:c_3:const -> c_1:c_4:c_2:c_0:c_3:const
c_4 :: c_1:c_4:c_2:c_0:c_3:const -> c_1:c_4:c_2:c_0:c_3:const
c_0 :: c_1:c_4:c_2:c_0:c_3:const -> c_1:c_4:c_2:c_0:c_3:const
c_2 :: c_1:c_4:c_2:c_0:c_3:const -> c_1:c_4:c_2:c_0:c_3:const
3' :: c_1:c_4:c_2:c_0:c_3:const -> c_1:c_4:c_2:c_0:c_3:const
0' :: c_1:c_4:c_2:c_0:c_3:const -> c_1:c_4:c_2:c_0:c_3:const
1' :: c_1:c_4:c_2:c_0:c_3:const -> c_1:c_4:c_2:c_0:c_3:const
4' :: c_1:c_4:c_2:c_0:c_3:const -> c_1:c_4:c_2:c_0:c_3:const
encArg :: cons_0:cons_1:cons_2:cons_3:cons_4 -> c_1:c_4:c_2:c_0: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_1:c_4:c_2:c_0:c_3:const
encode_1 :: cons_0:cons_1:cons_2:cons_3:cons_4 -> c_1:c_4:c_2:c_0:c_3:const
encode_2 :: cons_0:cons_1:cons_2:cons_3:cons_4 -> c_1:c_4:c_2:c_0:c_3:const
encode_3 :: cons_0:cons_1:cons_2:cons_3:cons_4 -> c_1:c_4:c_2:c_0:c_3:const
encode_4 :: cons_0:cons_1:cons_2:cons_3:cons_4 -> c_1:c_4:c_2:c_0:c_3:const
const :: c_1:c_4:c_2:c_0: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'(1'(4'(4'(3'(2'(1'(1'(0'(2'(2'(1'(2'(1'(0'(3'(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))))))))))))))))))
   0'(z) -{ 1 }-> 4'(3'(3'(0'(2'(3'(4'(2'(4'(1'(2'(1'(4'(3'(4'(3'(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))))))))))))))))))
   0'(z) -{ 2 }-> 4'(1'(2'(2'(2'(2'(4'(4'(2'(0'(3'(2'(1'(0'(4'(4'(1'(4'(2'(4'(4'(1'(4'(4'(3'(2'(1'(1'(0'(2'(2'(1'(2'(1'(0'(3'(4'(2'(2'(x1742))))))))))))))))))))))))))))))))))))))) :|: x1742 >= 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 + x1742)))))))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 4'(1'(2'(2'(2'(2'(4'(4'(2'(0'(3'(2'(1'(0'(4'(4'(1'(4'(2'(4'(3'(3'(0'(2'(3'(4'(2'(4'(1'(2'(1'(4'(3'(4'(3'(3'(2'(2'(3'(x1750))))))))))))))))))))))))))))))))))))))) :|: x1750 >= 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 + x1750)))))))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 4'(1'(2'(2'(2'(2'(4'(4'(2'(0'(3'(2'(1'(0'(4'(4'(1'(4'(2'(4'(1'(2'(2'(2'(2'(4'(4'(2'(0'(3'(2'(1'(0'(4'(4'(1'(4'(2'(0'(x1745))))))))))))))))))))))))))))))))))))))) :|: x1745 >= 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 + x1745)))))))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 4'(1'(2'(2'(2'(2'(4'(4'(2'(0'(3'(2'(1'(0'(4'(4'(1'(4'(2'(4'(1'(2'(0'(3'(0'(1'(2'(3'(0'(2'(1'(3'(2'(0'(3'(0'(2'(4'(0'(x1749))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1749))))))))))))))))))))))))))))))))))))), x1749 >= 0
   0'(z) -{ 2 }-> 4'(1'(2'(2'(2'(2'(4'(4'(2'(0'(3'(2'(1'(0'(4'(4'(1'(4'(2'(3'(2'(3'(1'(0'(1'(2'(0'(2'(2'(3'(2'(0'(4'(4'(2'(0'(4'(4'(2'(x1754))))))))))))))))))))))))))))))))))))))) :|: x1754 >= 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 + x1754)))))))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 4'(1'(2'(2'(2'(2'(4'(4'(2'(0'(3'(2'(1'(0'(4'(4'(1'(4'(2'(3'(0'(0'(1'(4'(1'(2'(3'(3'(4'(2'(1'(1'(3'(2'(2'(1'(3'(2'(4'(x1746))))))))))))))))))))))))))))))))))))))) :|: x1746 >= 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 + x1746)))))))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 4'(1'(2'(2'(2'(2'(4'(4'(2'(0'(3'(2'(1'(0'(4'(4'(1'(4'(2'(2'(4'(3'(3'(0'(3'(1'(2'(3'(3'(4'(2'(0'(0'(4'(2'(0'(1'(2'(2'(x1753))))))))))))))))))))))))))))))))))))))) :|: x1753 >= 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 + x1753)))))))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 4'(1'(2'(2'(2'(2'(4'(4'(2'(0'(3'(2'(1'(0'(4'(4'(1'(4'(2'(2'(4'(3'(0'(3'(0'(2'(3'(0'(4'(2'(2'(2'(3'(3'(2'(4'(3'(1'(1'(x1756))))))))))))))))))))))))))))))))))))))) :|: x1756 >= 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 + x1756)))))))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 4'(1'(2'(2'(2'(2'(4'(4'(2'(0'(3'(2'(1'(0'(4'(4'(1'(4'(2'(2'(4'(2'(1'(2'(2'(3'(0'(2'(0'(1'(2'(2'(0'(1'(2'(0'(0'(4'(2'(x1741))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1741))))))))))))))))))))))))))))))))))))), x1741 >= 0
   0'(z) -{ 2 }-> 4'(1'(2'(2'(2'(2'(4'(4'(2'(0'(3'(2'(1'(0'(4'(4'(1'(4'(2'(2'(2'(4'(3'(4'(2'(3'(4'(1'(2'(1'(0'(0'(2'(0'(4'(1'(4'(2'(2'(x1743))))))))))))))))))))))))))))))))))))))) :|: x1743 >= 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 + x1743)))))))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 4'(1'(2'(2'(2'(2'(4'(4'(2'(0'(3'(2'(1'(0'(4'(4'(1'(4'(2'(2'(1'(3'(0'(0'(1'(4'(3'(1'(3'(2'(2'(2'(1'(3'(0'(2'(0'(0'(2'(x1744))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1744))))))))))))))))))))))))))))))))))))), x1744 >= 0
   0'(z) -{ 2 }-> 4'(1'(2'(2'(2'(2'(4'(4'(2'(0'(3'(2'(1'(0'(4'(4'(1'(4'(2'(2'(1'(2'(2'(3'(3'(2'(0'(4'(4'(3'(3'(1'(0'(0'(3'(4'(2'(2'(4'(x1757))))))))))))))))))))))))))))))))))))))) :|: x1757 >= 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 + x1757)))))))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 4'(1'(2'(2'(2'(2'(4'(4'(2'(0'(3'(2'(1'(0'(4'(4'(1'(4'(2'(1'(3'(3'(2'(4'(2'(1'(2'(1'(2'(0'(2'(0'(3'(2'(2'(4'(0'(3'(3'(x1755))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1755))))))))))))))))))))))))))))))))))))), x1755 >= 0
   0'(z) -{ 2 }-> 4'(1'(2'(2'(2'(2'(4'(4'(2'(0'(3'(2'(1'(0'(4'(4'(1'(4'(2'(1'(1'(2'(3'(3'(4'(4'(4'(2'(3'(2'(2'(1'(2'(0'(1'(2'(0'(4'(4'(x1748))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1748))))))))))))))))))))))))))))))))))))), x1748 >= 0
   0'(z) -{ 2 }-> 4'(1'(2'(2'(2'(2'(4'(4'(2'(0'(3'(2'(1'(0'(4'(4'(1'(4'(2'(1'(1'(1'(3'(0'(3'(0'(2'(3'(2'(2'(4'(1'(2'(3'(4'(1'(2'(2'(4'(x1752))))))))))))))))))))))))))))))))))))))) :|: x1752 >= 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 + x1752)))))))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 4'(1'(2'(2'(2'(2'(4'(4'(2'(0'(3'(2'(1'(0'(4'(4'(1'(4'(2'(0'(4'(0'(0'(2'(3'(0'(4'(1'(2'(3'(0'(3'(0'(1'(4'(2'(2'(3'(3'(x1751))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1751))))))))))))))))))))))))))))))))))))), x1751 >= 0
   0'(z) -{ 2 }-> 4'(1'(2'(2'(2'(2'(4'(4'(2'(0'(3'(2'(1'(0'(4'(4'(1'(4'(2'(0'(0'(0'(1'(2'(2'(2'(0'(4'(1'(4'(1'(2'(4'(3'(3'(1'(0'(3'(3'(x1747))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1747))))))))))))))))))))))))))))))))))))), x1747 >= 0
   0'(z) -{ 1 }-> 4'(1'(2'(2'(2'(2'(4'(4'(2'(0'(3'(2'(1'(0'(4'(4'(1'(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 }-> 4'(1'(2'(2'(2'(2'(4'(4'(2'(0'(3'(2'(1'(0'(4'(4'(1'(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 }-> 4'(1'(2'(0'(3'(0'(1'(2'(3'(0'(2'(1'(3'(2'(0'(3'(0'(2'(4'(4'(4'(1'(4'(4'(3'(2'(1'(1'(0'(2'(2'(1'(2'(1'(0'(3'(4'(2'(2'(x11319))))))))))))))))))))))))))))))))))))))) :|: x11319 >= 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 + x11319)))))))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 4'(1'(2'(0'(3'(0'(1'(2'(3'(0'(2'(1'(3'(2'(0'(3'(0'(2'(4'(4'(3'(3'(0'(2'(3'(4'(2'(4'(1'(2'(1'(4'(3'(4'(3'(3'(2'(2'(3'(x11327))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11327))))))))))))))))))))))))))))))))))))), x11327 >= 0
   0'(z) -{ 2 }-> 4'(1'(2'(0'(3'(0'(1'(2'(3'(0'(2'(1'(3'(2'(0'(3'(0'(2'(4'(4'(1'(2'(2'(2'(2'(4'(4'(2'(0'(3'(2'(1'(0'(4'(4'(1'(4'(2'(0'(x11322))))))))))))))))))))))))))))))))))))))) :|: x11322 >= 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 + x11322)))))))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 4'(1'(2'(0'(3'(0'(1'(2'(3'(0'(2'(1'(3'(2'(0'(3'(0'(2'(4'(4'(1'(2'(0'(3'(0'(1'(2'(3'(0'(2'(1'(3'(2'(0'(3'(0'(2'(4'(0'(x11326))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11326))))))))))))))))))))))))))))))))))))), x11326 >= 0
   0'(z) -{ 2 }-> 4'(1'(2'(0'(3'(0'(1'(2'(3'(0'(2'(1'(3'(2'(0'(3'(0'(2'(4'(3'(2'(3'(1'(0'(1'(2'(0'(2'(2'(3'(2'(0'(4'(4'(2'(0'(4'(4'(2'(x11331))))))))))))))))))))))))))))))))))))))) :|: x11331 >= 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 + x11331)))))))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 4'(1'(2'(0'(3'(0'(1'(2'(3'(0'(2'(1'(3'(2'(0'(3'(0'(2'(4'(3'(0'(0'(1'(4'(1'(2'(3'(3'(4'(2'(1'(1'(3'(2'(2'(1'(3'(2'(4'(x11323))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11323))))))))))))))))))))))))))))))))))))), x11323 >= 0
   0'(z) -{ 2 }-> 4'(1'(2'(0'(3'(0'(1'(2'(3'(0'(2'(1'(3'(2'(0'(3'(0'(2'(4'(2'(4'(3'(3'(0'(3'(1'(2'(3'(3'(4'(2'(0'(0'(4'(2'(0'(1'(2'(2'(x11330))))))))))))))))))))))))))))))))))))))) :|: x11330 >= 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 + x11330)))))))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 4'(1'(2'(0'(3'(0'(1'(2'(3'(0'(2'(1'(3'(2'(0'(3'(0'(2'(4'(2'(4'(3'(0'(3'(0'(2'(3'(0'(4'(2'(2'(2'(3'(3'(2'(4'(3'(1'(1'(x11333))))))))))))))))))))))))))))))))))))))) :|: x11333 >= 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 + x11333)))))))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 4'(1'(2'(0'(3'(0'(1'(2'(3'(0'(2'(1'(3'(2'(0'(3'(0'(2'(4'(2'(4'(2'(1'(2'(2'(3'(0'(2'(0'(1'(2'(2'(0'(1'(2'(0'(0'(4'(2'(x11318))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11318))))))))))))))))))))))))))))))))))))), x11318 >= 0
   0'(z) -{ 2 }-> 4'(1'(2'(0'(3'(0'(1'(2'(3'(0'(2'(1'(3'(2'(0'(3'(0'(2'(4'(2'(2'(4'(3'(4'(2'(3'(4'(1'(2'(1'(0'(0'(2'(0'(4'(1'(4'(2'(2'(x11320))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11320))))))))))))))))))))))))))))))))))))), x11320 >= 0
   0'(z) -{ 2 }-> 4'(1'(2'(0'(3'(0'(1'(2'(3'(0'(2'(1'(3'(2'(0'(3'(0'(2'(4'(2'(1'(3'(0'(0'(1'(4'(3'(1'(3'(2'(2'(2'(1'(3'(0'(2'(0'(0'(2'(x11321))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11321))))))))))))))))))))))))))))))))))))), x11321 >= 0
   0'(z) -{ 2 }-> 4'(1'(2'(0'(3'(0'(1'(2'(3'(0'(2'(1'(3'(2'(0'(3'(0'(2'(4'(2'(1'(2'(2'(3'(3'(2'(0'(4'(4'(3'(3'(1'(0'(0'(3'(4'(2'(2'(4'(x11334))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11334))))))))))))))))))))))))))))))))))))), x11334 >= 0
   0'(z) -{ 2 }-> 4'(1'(2'(0'(3'(0'(1'(2'(3'(0'(2'(1'(3'(2'(0'(3'(0'(2'(4'(1'(3'(3'(2'(4'(2'(1'(2'(1'(2'(0'(2'(0'(3'(2'(2'(4'(0'(3'(3'(x11332))))))))))))))))))))))))))))))))))))))) :|: x11332 >= 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 + x11332)))))))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 4'(1'(2'(0'(3'(0'(1'(2'(3'(0'(2'(1'(3'(2'(0'(3'(0'(2'(4'(1'(1'(2'(3'(3'(4'(4'(4'(2'(3'(2'(2'(1'(2'(0'(1'(2'(0'(4'(4'(x11325))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11325))))))))))))))))))))))))))))))))))))), x11325 >= 0
   0'(z) -{ 2 }-> 4'(1'(2'(0'(3'(0'(1'(2'(3'(0'(2'(1'(3'(2'(0'(3'(0'(2'(4'(1'(1'(1'(3'(0'(3'(0'(2'(3'(2'(2'(4'(1'(2'(3'(4'(1'(2'(2'(4'(x11329))))))))))))))))))))))))))))))))))))))) :|: x11329 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11329)))))))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 4'(1'(2'(0'(3'(0'(1'(2'(3'(0'(2'(1'(3'(2'(0'(3'(0'(2'(4'(0'(4'(0'(0'(2'(3'(0'(4'(1'(2'(3'(0'(3'(0'(1'(4'(2'(2'(3'(3'(x11328))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11328))))))))))))))))))))))))))))))))))))), x11328 >= 0
   0'(z) -{ 2 }-> 4'(1'(2'(0'(3'(0'(1'(2'(3'(0'(2'(1'(3'(2'(0'(3'(0'(2'(4'(0'(0'(0'(1'(2'(2'(2'(0'(4'(1'(4'(1'(2'(4'(3'(3'(1'(0'(3'(3'(x11324))))))))))))))))))))))))))))))))))))))) :|: x11324 >= 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 + x11324)))))))))))))))))))))))))))))))))))))
   0'(z) -{ 1 }-> 4'(1'(2'(0'(3'(0'(1'(2'(3'(0'(2'(1'(3'(2'(0'(3'(0'(2'(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 }-> 4'(1'(2'(0'(3'(0'(1'(2'(3'(0'(2'(1'(3'(2'(0'(3'(0'(2'(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 }-> 3'(2'(3'(1'(0'(1'(2'(0'(2'(2'(3'(2'(0'(4'(4'(2'(0'(4'(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 }-> 3'(0'(0'(1'(4'(1'(2'(3'(3'(4'(2'(1'(1'(3'(2'(2'(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))))))))))))))))))
   0'(z) -{ 1 }-> 2'(4'(3'(3'(0'(3'(1'(2'(3'(3'(4'(2'(0'(0'(4'(2'(0'(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))))))))))))))))))
   0'(z) -{ 2 }-> 2'(4'(3'(0'(3'(0'(2'(3'(0'(4'(2'(2'(2'(3'(3'(2'(4'(3'(1'(3'(4'(2'(1'(1'(0'(1'(2'(1'(4'(4'(2'(3'(3'(4'(2'(1'(2'(3'(2'(x11987))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11987))))))))))))))))))))))))))))))))))))), x11987 >= 0
   0'(z) -{ 2 }-> 2'(4'(3'(0'(3'(0'(2'(3'(0'(4'(2'(2'(2'(3'(3'(2'(4'(3'(1'(3'(3'(4'(3'(1'(2'(2'(4'(4'(0'(2'(2'(2'(2'(0'(0'(2'(0'(1'(4'(x11990))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11990))))))))))))))))))))))))))))))))))))), x11990 >= 0
   0'(z) -{ 2 }-> 2'(4'(3'(0'(3'(0'(2'(3'(0'(4'(2'(2'(2'(3'(3'(2'(4'(3'(1'(3'(2'(1'(4'(2'(2'(3'(4'(2'(3'(1'(4'(2'(3'(0'(3'(3'(4'(0'(3'(x11991))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11991))))))))))))))))))))))))))))))))))))), x11991 >= 0
   0'(z) -{ 2 }-> 2'(4'(3'(0'(3'(0'(2'(3'(0'(4'(2'(2'(2'(3'(3'(2'(4'(3'(1'(3'(1'(4'(3'(1'(0'(3'(4'(0'(3'(2'(2'(4'(0'(2'(3'(3'(2'(2'(0'(x11997))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11997))))))))))))))))))))))))))))))))))))), x11997 >= 0
   0'(z) -{ 2 }-> 2'(4'(3'(0'(3'(0'(2'(3'(0'(4'(2'(2'(2'(3'(3'(2'(4'(3'(1'(2'(4'(4'(0'(3'(3'(0'(3'(3'(3'(2'(4'(2'(2'(0'(0'(0'(0'(3'(3'(x11986))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11986))))))))))))))))))))))))))))))))))))), x11986 >= 0
   0'(z) -{ 2 }-> 2'(4'(3'(0'(3'(0'(2'(3'(0'(4'(2'(2'(2'(3'(3'(2'(4'(3'(1'(2'(4'(3'(0'(2'(0'(3'(1'(2'(1'(1'(2'(2'(3'(0'(2'(4'(3'(1'(3'(x11985))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11985))))))))))))))))))))))))))))))))))))), x11985 >= 0
   0'(z) -{ 2 }-> 2'(4'(3'(0'(3'(0'(2'(3'(0'(4'(2'(2'(2'(3'(3'(2'(4'(3'(1'(2'(3'(4'(2'(0'(0'(0'(0'(3'(1'(2'(2'(4'(1'(2'(3'(1'(0'(4'(4'(x11992))))))))))))))))))))))))))))))))))))))) :|: x11992 >= 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 + x11992)))))))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 2'(4'(3'(0'(3'(0'(2'(3'(0'(4'(2'(2'(2'(3'(3'(2'(4'(3'(1'(2'(3'(0'(2'(0'(2'(2'(2'(3'(4'(1'(0'(2'(3'(1'(2'(1'(2'(4'(2'(x11995))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11995))))))))))))))))))))))))))))))))))))), x11995 >= 0
   0'(z) -{ 2 }-> 2'(4'(3'(0'(3'(0'(2'(3'(0'(4'(2'(2'(2'(3'(3'(2'(4'(3'(1'(2'(2'(1'(0'(1'(4'(3'(2'(3'(0'(0'(0'(4'(3'(2'(1'(1'(2'(0'(2'(x11994))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11994))))))))))))))))))))))))))))))))))))), x11994 >= 0
   0'(z) -{ 2 }-> 2'(4'(3'(0'(3'(0'(2'(3'(0'(4'(2'(2'(2'(3'(3'(2'(4'(3'(1'(2'(0'(2'(0'(2'(0'(2'(0'(4'(2'(4'(2'(3'(2'(3'(1'(2'(2'(2'(1'(x11996))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11996))))))))))))))))))))))))))))))))))))), x11996 >= 0
   0'(z) -{ 2 }-> 2'(4'(3'(0'(3'(0'(2'(3'(0'(4'(2'(2'(2'(3'(3'(2'(4'(3'(1'(1'(2'(2'(2'(0'(0'(2'(2'(3'(0'(4'(4'(2'(1'(4'(2'(2'(2'(4'(1'(x11988))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11988))))))))))))))))))))))))))))))))))))), x11988 >= 0
   0'(z) -{ 2 }-> 2'(4'(3'(0'(3'(0'(2'(3'(0'(4'(2'(2'(2'(3'(3'(2'(4'(3'(1'(1'(0'(2'(2'(4'(0'(3'(1'(0'(0'(3'(0'(2'(1'(1'(2'(2'(3'(1'(0'(x11989))))))))))))))))))))))))))))))))))))))) :|: x11989 >= 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 + x11989)))))))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 2'(4'(3'(0'(3'(0'(2'(3'(0'(4'(2'(2'(2'(3'(3'(2'(4'(3'(1'(0'(4'(2'(4'(3'(3'(2'(1'(4'(2'(4'(4'(3'(2'(2'(3'(1'(2'(2'(0'(x11984))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11984))))))))))))))))))))))))))))))))))))), x11984 >= 0
   0'(z) -{ 2 }-> 2'(4'(3'(0'(3'(0'(2'(3'(0'(4'(2'(2'(2'(3'(3'(2'(4'(3'(1'(0'(4'(0'(3'(0'(3'(0'(3'(2'(0'(1'(0'(0'(2'(1'(3'(2'(1'(2'(0'(x11993))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11993))))))))))))))))))))))))))))))))))))), x11993 >= 0
   0'(z) -{ 1 }-> 2'(4'(3'(0'(3'(0'(2'(3'(0'(4'(2'(2'(2'(3'(3'(2'(4'(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))))))))))))))))))
   0'(z) -{ 1 }-> 2'(4'(3'(0'(3'(0'(2'(3'(0'(4'(2'(2'(2'(3'(3'(2'(4'(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))))))))))))))))))
   0'(z) -{ 1 }-> 2'(4'(2'(1'(2'(2'(3'(0'(2'(0'(1'(2'(2'(0'(1'(2'(0'(0'(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'(2'(4'(3'(4'(2'(3'(4'(1'(2'(1'(0'(0'(2'(0'(4'(1'(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))))))))))))))))))
   0'(z) -{ 1 }-> 2'(1'(3'(0'(0'(1'(4'(3'(1'(3'(2'(2'(2'(1'(3'(0'(2'(0'(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))))))))))))))))))
   0'(z) -{ 1 }-> 2'(1'(2'(2'(3'(3'(2'(0'(4'(4'(3'(3'(1'(0'(0'(3'(4'(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 }-> 1'(3'(3'(2'(4'(2'(1'(2'(1'(2'(0'(2'(0'(3'(2'(2'(4'(0'(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))))))))))))))))))
   0'(z) -{ 1 }-> 1'(1'(2'(3'(3'(4'(4'(4'(2'(3'(2'(2'(1'(2'(0'(1'(2'(0'(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 }-> 1'(1'(1'(3'(0'(3'(0'(2'(3'(2'(2'(4'(1'(2'(3'(4'(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'(4'(0'(0'(2'(3'(0'(4'(1'(2'(3'(0'(3'(0'(1'(4'(2'(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))))))))))))))))))
   0'(z) -{ 1 }-> 0'(0'(0'(1'(2'(2'(2'(0'(4'(1'(4'(1'(2'(4'(3'(3'(1'(0'(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))))))))))))))))))
   0'(z) -{ 0 }-> 0 :|: v0 >= 0, z = v0
   0'(z) -{ 0 }-> 1 + x0 :|: z = x0, x0 >= 0
   1'(z) -{ 1 }-> 3'(4'(2'(1'(1'(0'(1'(2'(1'(4'(4'(2'(3'(3'(4'(2'(1'(2'(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))))))))))))))))))
   1'(z) -{ 1 }-> 3'(3'(4'(3'(1'(2'(2'(4'(4'(0'(2'(2'(2'(2'(0'(0'(2'(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))))))))))))))))))
   1'(z) -{ 1 }-> 3'(2'(1'(4'(2'(2'(3'(4'(2'(3'(1'(4'(2'(3'(0'(3'(3'(4'(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) -{ 2 }-> 3'(1'(4'(3'(1'(0'(3'(4'(0'(3'(2'(2'(4'(0'(2'(3'(3'(2'(2'(4'(4'(1'(4'(4'(3'(2'(1'(1'(0'(2'(2'(1'(2'(1'(0'(3'(4'(2'(2'(x12087))))))))))))))))))))))))))))))))))))))) :|: x12087 >= 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 + x12087)))))))))))))))))))))))))))))))))))))
   1'(z) -{ 2 }-> 3'(1'(4'(3'(1'(0'(3'(4'(0'(3'(2'(2'(4'(0'(2'(3'(3'(2'(2'(4'(3'(3'(0'(2'(3'(4'(2'(4'(1'(2'(1'(4'(3'(4'(3'(3'(2'(2'(3'(x12095))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x12095))))))))))))))))))))))))))))))))))))), x12095 >= 0
   1'(z) -{ 2 }-> 3'(1'(4'(3'(1'(0'(3'(4'(0'(3'(2'(2'(4'(0'(2'(3'(3'(2'(2'(4'(1'(2'(2'(2'(2'(4'(4'(2'(0'(3'(2'(1'(0'(4'(4'(1'(4'(2'(0'(x12090))))))))))))))))))))))))))))))))))))))) :|: x12090 >= 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 + x12090)))))))))))))))))))))))))))))))))))))
   1'(z) -{ 2 }-> 3'(1'(4'(3'(1'(0'(3'(4'(0'(3'(2'(2'(4'(0'(2'(3'(3'(2'(2'(4'(1'(2'(0'(3'(0'(1'(2'(3'(0'(2'(1'(3'(2'(0'(3'(0'(2'(4'(0'(x12094))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x12094))))))))))))))))))))))))))))))))))))), x12094 >= 0
   1'(z) -{ 2 }-> 3'(1'(4'(3'(1'(0'(3'(4'(0'(3'(2'(2'(4'(0'(2'(3'(3'(2'(2'(3'(2'(3'(1'(0'(1'(2'(0'(2'(2'(3'(2'(0'(4'(4'(2'(0'(4'(4'(2'(x12099))))))))))))))))))))))))))))))))))))))) :|: x12099 >= 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 + x12099)))))))))))))))))))))))))))))))))))))
   1'(z) -{ 2 }-> 3'(1'(4'(3'(1'(0'(3'(4'(0'(3'(2'(2'(4'(0'(2'(3'(3'(2'(2'(3'(0'(0'(1'(4'(1'(2'(3'(3'(4'(2'(1'(1'(3'(2'(2'(1'(3'(2'(4'(x12091))))))))))))))))))))))))))))))))))))))) :|: x12091 >= 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 + x12091)))))))))))))))))))))))))))))))))))))
   1'(z) -{ 2 }-> 3'(1'(4'(3'(1'(0'(3'(4'(0'(3'(2'(2'(4'(0'(2'(3'(3'(2'(2'(2'(4'(3'(3'(0'(3'(1'(2'(3'(3'(4'(2'(0'(0'(4'(2'(0'(1'(2'(2'(x12098))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x12098))))))))))))))))))))))))))))))))))))), x12098 >= 0
   1'(z) -{ 2 }-> 3'(1'(4'(3'(1'(0'(3'(4'(0'(3'(2'(2'(4'(0'(2'(3'(3'(2'(2'(2'(4'(3'(0'(3'(0'(2'(3'(0'(4'(2'(2'(2'(3'(3'(2'(4'(3'(1'(1'(x12101))))))))))))))))))))))))))))))))))))))) :|: x12101 >= 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 + x12101)))))))))))))))))))))))))))))))))))))
   1'(z) -{ 2 }-> 3'(1'(4'(3'(1'(0'(3'(4'(0'(3'(2'(2'(4'(0'(2'(3'(3'(2'(2'(2'(4'(2'(1'(2'(2'(3'(0'(2'(0'(1'(2'(2'(0'(1'(2'(0'(0'(4'(2'(x12086))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x12086))))))))))))))))))))))))))))))))))))), x12086 >= 0
   1'(z) -{ 2 }-> 3'(1'(4'(3'(1'(0'(3'(4'(0'(3'(2'(2'(4'(0'(2'(3'(3'(2'(2'(2'(2'(4'(3'(4'(2'(3'(4'(1'(2'(1'(0'(0'(2'(0'(4'(1'(4'(2'(2'(x12088))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x12088))))))))))))))))))))))))))))))))))))), x12088 >= 0
   1'(z) -{ 2 }-> 3'(1'(4'(3'(1'(0'(3'(4'(0'(3'(2'(2'(4'(0'(2'(3'(3'(2'(2'(2'(1'(3'(0'(0'(1'(4'(3'(1'(3'(2'(2'(2'(1'(3'(0'(2'(0'(0'(2'(x12089))))))))))))))))))))))))))))))))))))))) :|: x12089 >= 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 + x12089)))))))))))))))))))))))))))))))))))))
   1'(z) -{ 2 }-> 3'(1'(4'(3'(1'(0'(3'(4'(0'(3'(2'(2'(4'(0'(2'(3'(3'(2'(2'(2'(1'(2'(2'(3'(3'(2'(0'(4'(4'(3'(3'(1'(0'(0'(3'(4'(2'(2'(4'(x12102))))))))))))))))))))))))))))))))))))))) :|: x12102 >= 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 + x12102)))))))))))))))))))))))))))))))))))))
   1'(z) -{ 2 }-> 3'(1'(4'(3'(1'(0'(3'(4'(0'(3'(2'(2'(4'(0'(2'(3'(3'(2'(2'(1'(3'(3'(2'(4'(2'(1'(2'(1'(2'(0'(2'(0'(3'(2'(2'(4'(0'(3'(3'(x12100))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x12100))))))))))))))))))))))))))))))))))))), x12100 >= 0
   1'(z) -{ 2 }-> 3'(1'(4'(3'(1'(0'(3'(4'(0'(3'(2'(2'(4'(0'(2'(3'(3'(2'(2'(1'(1'(2'(3'(3'(4'(4'(4'(2'(3'(2'(2'(1'(2'(0'(1'(2'(0'(4'(4'(x12093))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x12093))))))))))))))))))))))))))))))))))))), x12093 >= 0
   1'(z) -{ 2 }-> 3'(1'(4'(3'(1'(0'(3'(4'(0'(3'(2'(2'(4'(0'(2'(3'(3'(2'(2'(1'(1'(1'(3'(0'(3'(0'(2'(3'(2'(2'(4'(1'(2'(3'(4'(1'(2'(2'(4'(x12097))))))))))))))))))))))))))))))))))))))) :|: x12097 >= 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 + x12097)))))))))))))))))))))))))))))))))))))
   1'(z) -{ 2 }-> 3'(1'(4'(3'(1'(0'(3'(4'(0'(3'(2'(2'(4'(0'(2'(3'(3'(2'(2'(0'(4'(0'(0'(2'(3'(0'(4'(1'(2'(3'(0'(3'(0'(1'(4'(2'(2'(3'(3'(x12096))))))))))))))))))))))))))))))))))))))) :|: x12096 >= 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 + x12096)))))))))))))))))))))))))))))))))))))
   1'(z) -{ 2 }-> 3'(1'(4'(3'(1'(0'(3'(4'(0'(3'(2'(2'(4'(0'(2'(3'(3'(2'(2'(0'(0'(0'(1'(2'(2'(2'(0'(4'(1'(4'(1'(2'(4'(3'(3'(1'(0'(3'(3'(x12092))))))))))))))))))))))))))))))))))))))) :|: x12092 >= 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 + x12092)))))))))))))))))))))))))))))))))))))
   1'(z) -{ 1 }-> 3'(1'(4'(3'(1'(0'(3'(4'(0'(3'(2'(2'(4'(0'(2'(3'(3'(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))))))))))))))))))
   1'(z) -{ 1 }-> 3'(1'(4'(3'(1'(0'(3'(4'(0'(3'(2'(2'(4'(0'(2'(3'(3'(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))))))))))))))))))
   1'(z) -{ 1 }-> 2'(4'(4'(0'(3'(3'(0'(3'(3'(3'(2'(4'(2'(2'(0'(0'(0'(0'(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))))))))))))))))))
   1'(z) -{ 1 }-> 2'(4'(3'(0'(2'(0'(3'(1'(2'(1'(1'(2'(2'(3'(0'(2'(4'(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))))))))))))))))))
   1'(z) -{ 1 }-> 2'(3'(4'(2'(0'(0'(0'(0'(3'(1'(2'(2'(4'(1'(2'(3'(1'(0'(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))))))))))))))))))
   1'(z) -{ 1 }-> 2'(3'(0'(2'(0'(2'(2'(2'(3'(4'(1'(0'(2'(3'(1'(2'(1'(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))))))))))))))))))
   1'(z) -{ 1 }-> 2'(2'(1'(0'(1'(4'(3'(2'(3'(0'(0'(0'(4'(3'(2'(1'(1'(2'(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 }-> 2'(0'(2'(0'(2'(0'(2'(0'(4'(2'(4'(2'(3'(2'(3'(1'(2'(2'(2'(3'(4'(2'(1'(1'(0'(1'(2'(1'(4'(4'(2'(3'(3'(4'(2'(1'(2'(3'(2'(x11824))))))))))))))))))))))))))))))))))))))) :|: x11824 >= 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 + x11824)))))))))))))))))))))))))))))))))))))
   1'(z) -{ 2 }-> 2'(0'(2'(0'(2'(0'(2'(0'(4'(2'(4'(2'(3'(2'(3'(1'(2'(2'(2'(3'(3'(4'(3'(1'(2'(2'(4'(4'(0'(2'(2'(2'(2'(0'(0'(2'(0'(1'(4'(x11827))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11827))))))))))))))))))))))))))))))))))))), x11827 >= 0
   1'(z) -{ 2 }-> 2'(0'(2'(0'(2'(0'(2'(0'(4'(2'(4'(2'(3'(2'(3'(1'(2'(2'(2'(3'(2'(1'(4'(2'(2'(3'(4'(2'(3'(1'(4'(2'(3'(0'(3'(3'(4'(0'(3'(x11828))))))))))))))))))))))))))))))))))))))) :|: x11828 >= 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 + x11828)))))))))))))))))))))))))))))))))))))
   1'(z) -{ 2 }-> 2'(0'(2'(0'(2'(0'(2'(0'(4'(2'(4'(2'(3'(2'(3'(1'(2'(2'(2'(3'(1'(4'(3'(1'(0'(3'(4'(0'(3'(2'(2'(4'(0'(2'(3'(3'(2'(2'(0'(x11834))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11834))))))))))))))))))))))))))))))))))))), x11834 >= 0
   1'(z) -{ 2 }-> 2'(0'(2'(0'(2'(0'(2'(0'(4'(2'(4'(2'(3'(2'(3'(1'(2'(2'(2'(2'(4'(4'(0'(3'(3'(0'(3'(3'(3'(2'(4'(2'(2'(0'(0'(0'(0'(3'(3'(x11823))))))))))))))))))))))))))))))))))))))) :|: x11823 >= 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 + x11823)))))))))))))))))))))))))))))))))))))
   1'(z) -{ 2 }-> 2'(0'(2'(0'(2'(0'(2'(0'(4'(2'(4'(2'(3'(2'(3'(1'(2'(2'(2'(2'(4'(3'(0'(2'(0'(3'(1'(2'(1'(1'(2'(2'(3'(0'(2'(4'(3'(1'(3'(x11822))))))))))))))))))))))))))))))))))))))) :|: x11822 >= 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 + x11822)))))))))))))))))))))))))))))))))))))
   1'(z) -{ 2 }-> 2'(0'(2'(0'(2'(0'(2'(0'(4'(2'(4'(2'(3'(2'(3'(1'(2'(2'(2'(2'(3'(4'(2'(0'(0'(0'(0'(3'(1'(2'(2'(4'(1'(2'(3'(1'(0'(4'(4'(x11829))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11829))))))))))))))))))))))))))))))))))))), x11829 >= 0
   1'(z) -{ 2 }-> 2'(0'(2'(0'(2'(0'(2'(0'(4'(2'(4'(2'(3'(2'(3'(1'(2'(2'(2'(2'(3'(0'(2'(0'(2'(2'(2'(3'(4'(1'(0'(2'(3'(1'(2'(1'(2'(4'(2'(x11832))))))))))))))))))))))))))))))))))))))) :|: x11832 >= 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 + x11832)))))))))))))))))))))))))))))))))))))
   1'(z) -{ 2 }-> 2'(0'(2'(0'(2'(0'(2'(0'(4'(2'(4'(2'(3'(2'(3'(1'(2'(2'(2'(2'(2'(1'(0'(1'(4'(3'(2'(3'(0'(0'(0'(4'(3'(2'(1'(1'(2'(0'(2'(x11831))))))))))))))))))))))))))))))))))))))) :|: x11831 >= 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 + x11831)))))))))))))))))))))))))))))))))))))
   1'(z) -{ 2 }-> 2'(0'(2'(0'(2'(0'(2'(0'(4'(2'(4'(2'(3'(2'(3'(1'(2'(2'(2'(2'(0'(2'(0'(2'(0'(2'(0'(4'(2'(4'(2'(3'(2'(3'(1'(2'(2'(2'(1'(x11833))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11833))))))))))))))))))))))))))))))))))))), x11833 >= 0
   1'(z) -{ 2 }-> 2'(0'(2'(0'(2'(0'(2'(0'(4'(2'(4'(2'(3'(2'(3'(1'(2'(2'(2'(1'(2'(2'(2'(0'(0'(2'(2'(3'(0'(4'(4'(2'(1'(4'(2'(2'(2'(4'(1'(x11825))))))))))))))))))))))))))))))))))))))) :|: x11825 >= 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 + x11825)))))))))))))))))))))))))))))))))))))
   1'(z) -{ 2 }-> 2'(0'(2'(0'(2'(0'(2'(0'(4'(2'(4'(2'(3'(2'(3'(1'(2'(2'(2'(1'(0'(2'(2'(4'(0'(3'(1'(0'(0'(3'(0'(2'(1'(1'(2'(2'(3'(1'(0'(x11826))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11826))))))))))))))))))))))))))))))))))))), x11826 >= 0
   1'(z) -{ 2 }-> 2'(0'(2'(0'(2'(0'(2'(0'(4'(2'(4'(2'(3'(2'(3'(1'(2'(2'(2'(0'(4'(2'(4'(3'(3'(2'(1'(4'(2'(4'(4'(3'(2'(2'(3'(1'(2'(2'(0'(x11821))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11821))))))))))))))))))))))))))))))))))))), x11821 >= 0
   1'(z) -{ 2 }-> 2'(0'(2'(0'(2'(0'(2'(0'(4'(2'(4'(2'(3'(2'(3'(1'(2'(2'(2'(0'(4'(0'(3'(0'(3'(0'(3'(2'(0'(1'(0'(0'(2'(1'(3'(2'(1'(2'(0'(x11830))))))))))))))))))))))))))))))))))))))) :|: x11830 >= 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 + x11830)))))))))))))))))))))))))))))))))))))
   1'(z) -{ 1 }-> 2'(0'(2'(0'(2'(0'(2'(0'(4'(2'(4'(2'(3'(2'(3'(1'(2'(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))))))))))))))))))
   1'(z) -{ 1 }-> 2'(0'(2'(0'(2'(0'(2'(0'(4'(2'(4'(2'(3'(2'(3'(1'(2'(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))))))))))))))))))
   1'(z) -{ 2 }-> 1'(2'(2'(2'(0'(0'(2'(2'(3'(0'(4'(4'(2'(1'(4'(2'(2'(2'(4'(3'(4'(2'(1'(1'(0'(1'(2'(1'(4'(4'(2'(3'(3'(4'(2'(1'(2'(3'(2'(x1663))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1663))))))))))))))))))))))))))))))))))))), x1663 >= 0
   1'(z) -{ 2 }-> 1'(2'(2'(2'(0'(0'(2'(2'(3'(0'(4'(4'(2'(1'(4'(2'(2'(2'(4'(3'(3'(4'(3'(1'(2'(2'(4'(4'(0'(2'(2'(2'(2'(0'(0'(2'(0'(1'(4'(x1666))))))))))))))))))))))))))))))))))))))) :|: x1666 >= 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 + x1666)))))))))))))))))))))))))))))))))))))
   1'(z) -{ 2 }-> 1'(2'(2'(2'(0'(0'(2'(2'(3'(0'(4'(4'(2'(1'(4'(2'(2'(2'(4'(3'(2'(1'(4'(2'(2'(3'(4'(2'(3'(1'(4'(2'(3'(0'(3'(3'(4'(0'(3'(x1667))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1667))))))))))))))))))))))))))))))))))))), x1667 >= 0
   1'(z) -{ 2 }-> 1'(2'(2'(2'(0'(0'(2'(2'(3'(0'(4'(4'(2'(1'(4'(2'(2'(2'(4'(3'(1'(4'(3'(1'(0'(3'(4'(0'(3'(2'(2'(4'(0'(2'(3'(3'(2'(2'(0'(x1673))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1673))))))))))))))))))))))))))))))))))))), x1673 >= 0
   1'(z) -{ 2 }-> 1'(2'(2'(2'(0'(0'(2'(2'(3'(0'(4'(4'(2'(1'(4'(2'(2'(2'(4'(2'(4'(4'(0'(3'(3'(0'(3'(3'(3'(2'(4'(2'(2'(0'(0'(0'(0'(3'(3'(x1662))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1662))))))))))))))))))))))))))))))))))))), x1662 >= 0
   1'(z) -{ 2 }-> 1'(2'(2'(2'(0'(0'(2'(2'(3'(0'(4'(4'(2'(1'(4'(2'(2'(2'(4'(2'(4'(3'(0'(2'(0'(3'(1'(2'(1'(1'(2'(2'(3'(0'(2'(4'(3'(1'(3'(x1661))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1661))))))))))))))))))))))))))))))))))))), x1661 >= 0
   1'(z) -{ 2 }-> 1'(2'(2'(2'(0'(0'(2'(2'(3'(0'(4'(4'(2'(1'(4'(2'(2'(2'(4'(2'(3'(4'(2'(0'(0'(0'(0'(3'(1'(2'(2'(4'(1'(2'(3'(1'(0'(4'(4'(x1668))))))))))))))))))))))))))))))))))))))) :|: x1668 >= 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 + x1668)))))))))))))))))))))))))))))))))))))
   1'(z) -{ 2 }-> 1'(2'(2'(2'(0'(0'(2'(2'(3'(0'(4'(4'(2'(1'(4'(2'(2'(2'(4'(2'(3'(0'(2'(0'(2'(2'(2'(3'(4'(1'(0'(2'(3'(1'(2'(1'(2'(4'(2'(x1671))))))))))))))))))))))))))))))))))))))) :|: x1671 >= 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 + x1671)))))))))))))))))))))))))))))))))))))
   1'(z) -{ 2 }-> 1'(2'(2'(2'(0'(0'(2'(2'(3'(0'(4'(4'(2'(1'(4'(2'(2'(2'(4'(2'(2'(1'(0'(1'(4'(3'(2'(3'(0'(0'(0'(4'(3'(2'(1'(1'(2'(0'(2'(x1670))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1670))))))))))))))))))))))))))))))))))))), x1670 >= 0
   1'(z) -{ 2 }-> 1'(2'(2'(2'(0'(0'(2'(2'(3'(0'(4'(4'(2'(1'(4'(2'(2'(2'(4'(2'(0'(2'(0'(2'(0'(2'(0'(4'(2'(4'(2'(3'(2'(3'(1'(2'(2'(2'(1'(x1672))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1672))))))))))))))))))))))))))))))))))))), x1672 >= 0
   1'(z) -{ 2 }-> 1'(2'(2'(2'(0'(0'(2'(2'(3'(0'(4'(4'(2'(1'(4'(2'(2'(2'(4'(1'(2'(2'(2'(0'(0'(2'(2'(3'(0'(4'(4'(2'(1'(4'(2'(2'(2'(4'(1'(x1664))))))))))))))))))))))))))))))))))))))) :|: x1664 >= 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 + x1664)))))))))))))))))))))))))))))))))))))
   1'(z) -{ 2 }-> 1'(2'(2'(2'(0'(0'(2'(2'(3'(0'(4'(4'(2'(1'(4'(2'(2'(2'(4'(1'(0'(2'(2'(4'(0'(3'(1'(0'(0'(3'(0'(2'(1'(1'(2'(2'(3'(1'(0'(x1665))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1665))))))))))))))))))))))))))))))))))))), x1665 >= 0
   1'(z) -{ 2 }-> 1'(2'(2'(2'(0'(0'(2'(2'(3'(0'(4'(4'(2'(1'(4'(2'(2'(2'(4'(0'(4'(2'(4'(3'(3'(2'(1'(4'(2'(4'(4'(3'(2'(2'(3'(1'(2'(2'(0'(x1660))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1660))))))))))))))))))))))))))))))))))))), x1660 >= 0
   1'(z) -{ 2 }-> 1'(2'(2'(2'(0'(0'(2'(2'(3'(0'(4'(4'(2'(1'(4'(2'(2'(2'(4'(0'(4'(0'(3'(0'(3'(0'(3'(2'(0'(1'(0'(0'(2'(1'(3'(2'(1'(2'(0'(x1669))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1669))))))))))))))))))))))))))))))))))))), x1669 >= 0
   1'(z) -{ 1 }-> 1'(2'(2'(2'(0'(0'(2'(2'(3'(0'(4'(4'(2'(1'(4'(2'(2'(2'(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))))))))))))))))))
   1'(z) -{ 1 }-> 1'(2'(2'(2'(0'(0'(2'(2'(3'(0'(4'(4'(2'(1'(4'(2'(2'(2'(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))))))))))))))))))
   1'(z) -{ 2 }-> 1'(0'(2'(2'(4'(0'(3'(1'(0'(0'(3'(0'(2'(1'(1'(2'(2'(3'(1'(4'(4'(1'(4'(4'(3'(2'(1'(1'(0'(2'(2'(1'(2'(1'(0'(3'(4'(2'(2'(x1759))))))))))))))))))))))))))))))))))))))) :|: x1759 >= 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 + x1759)))))))))))))))))))))))))))))))))))))
   1'(z) -{ 2 }-> 1'(0'(2'(2'(4'(0'(3'(1'(0'(0'(3'(0'(2'(1'(1'(2'(2'(3'(1'(4'(3'(3'(0'(2'(3'(4'(2'(4'(1'(2'(1'(4'(3'(4'(3'(3'(2'(2'(3'(x1767))))))))))))))))))))))))))))))))))))))) :|: x1767 >= 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 + x1767)))))))))))))))))))))))))))))))))))))
   1'(z) -{ 2 }-> 1'(0'(2'(2'(4'(0'(3'(1'(0'(0'(3'(0'(2'(1'(1'(2'(2'(3'(1'(4'(1'(2'(2'(2'(2'(4'(4'(2'(0'(3'(2'(1'(0'(4'(4'(1'(4'(2'(0'(x1762))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1762))))))))))))))))))))))))))))))))))))), x1762 >= 0
   1'(z) -{ 2 }-> 1'(0'(2'(2'(4'(0'(3'(1'(0'(0'(3'(0'(2'(1'(1'(2'(2'(3'(1'(4'(1'(2'(0'(3'(0'(1'(2'(3'(0'(2'(1'(3'(2'(0'(3'(0'(2'(4'(0'(x1766))))))))))))))))))))))))))))))))))))))) :|: x1766 >= 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 + x1766)))))))))))))))))))))))))))))))))))))
   1'(z) -{ 2 }-> 1'(0'(2'(2'(4'(0'(3'(1'(0'(0'(3'(0'(2'(1'(1'(2'(2'(3'(1'(3'(2'(3'(1'(0'(1'(2'(0'(2'(2'(3'(2'(0'(4'(4'(2'(0'(4'(4'(2'(x1771))))))))))))))))))))))))))))))))))))))) :|: x1771 >= 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 + x1771)))))))))))))))))))))))))))))))))))))
   1'(z) -{ 2 }-> 1'(0'(2'(2'(4'(0'(3'(1'(0'(0'(3'(0'(2'(1'(1'(2'(2'(3'(1'(3'(0'(0'(1'(4'(1'(2'(3'(3'(4'(2'(1'(1'(3'(2'(2'(1'(3'(2'(4'(x1763))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1763))))))))))))))))))))))))))))))))))))), x1763 >= 0
   1'(z) -{ 2 }-> 1'(0'(2'(2'(4'(0'(3'(1'(0'(0'(3'(0'(2'(1'(1'(2'(2'(3'(1'(2'(4'(3'(3'(0'(3'(1'(2'(3'(3'(4'(2'(0'(0'(4'(2'(0'(1'(2'(2'(x1770))))))))))))))))))))))))))))))))))))))) :|: x1770 >= 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 + x1770)))))))))))))))))))))))))))))))))))))
   1'(z) -{ 2 }-> 1'(0'(2'(2'(4'(0'(3'(1'(0'(0'(3'(0'(2'(1'(1'(2'(2'(3'(1'(2'(4'(3'(0'(3'(0'(2'(3'(0'(4'(2'(2'(2'(3'(3'(2'(4'(3'(1'(1'(x1773))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1773))))))))))))))))))))))))))))))))))))), x1773 >= 0
   1'(z) -{ 2 }-> 1'(0'(2'(2'(4'(0'(3'(1'(0'(0'(3'(0'(2'(1'(1'(2'(2'(3'(1'(2'(4'(2'(1'(2'(2'(3'(0'(2'(0'(1'(2'(2'(0'(1'(2'(0'(0'(4'(2'(x1758))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1758))))))))))))))))))))))))))))))))))))), x1758 >= 0
   1'(z) -{ 2 }-> 1'(0'(2'(2'(4'(0'(3'(1'(0'(0'(3'(0'(2'(1'(1'(2'(2'(3'(1'(2'(2'(4'(3'(4'(2'(3'(4'(1'(2'(1'(0'(0'(2'(0'(4'(1'(4'(2'(2'(x1760))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1760))))))))))))))))))))))))))))))))))))), x1760 >= 0
   1'(z) -{ 2 }-> 1'(0'(2'(2'(4'(0'(3'(1'(0'(0'(3'(0'(2'(1'(1'(2'(2'(3'(1'(2'(1'(3'(0'(0'(1'(4'(3'(1'(3'(2'(2'(2'(1'(3'(0'(2'(0'(0'(2'(x1761))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1761))))))))))))))))))))))))))))))))))))), x1761 >= 0
   1'(z) -{ 2 }-> 1'(0'(2'(2'(4'(0'(3'(1'(0'(0'(3'(0'(2'(1'(1'(2'(2'(3'(1'(2'(1'(2'(2'(3'(3'(2'(0'(4'(4'(3'(3'(1'(0'(0'(3'(4'(2'(2'(4'(x1774))))))))))))))))))))))))))))))))))))))) :|: x1774 >= 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 + x1774)))))))))))))))))))))))))))))))))))))
   1'(z) -{ 2 }-> 1'(0'(2'(2'(4'(0'(3'(1'(0'(0'(3'(0'(2'(1'(1'(2'(2'(3'(1'(1'(3'(3'(2'(4'(2'(1'(2'(1'(2'(0'(2'(0'(3'(2'(2'(4'(0'(3'(3'(x1772))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1772))))))))))))))))))))))))))))))))))))), x1772 >= 0
   1'(z) -{ 2 }-> 1'(0'(2'(2'(4'(0'(3'(1'(0'(0'(3'(0'(2'(1'(1'(2'(2'(3'(1'(1'(1'(2'(3'(3'(4'(4'(4'(2'(3'(2'(2'(1'(2'(0'(1'(2'(0'(4'(4'(x1765))))))))))))))))))))))))))))))))))))))) :|: x1765 >= 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 + x1765)))))))))))))))))))))))))))))))))))))
   1'(z) -{ 2 }-> 1'(0'(2'(2'(4'(0'(3'(1'(0'(0'(3'(0'(2'(1'(1'(2'(2'(3'(1'(1'(1'(1'(3'(0'(3'(0'(2'(3'(2'(2'(4'(1'(2'(3'(4'(1'(2'(2'(4'(x1769))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1769))))))))))))))))))))))))))))))))))))), x1769 >= 0
   1'(z) -{ 2 }-> 1'(0'(2'(2'(4'(0'(3'(1'(0'(0'(3'(0'(2'(1'(1'(2'(2'(3'(1'(0'(4'(0'(0'(2'(3'(0'(4'(1'(2'(3'(0'(3'(0'(1'(4'(2'(2'(3'(3'(x1768))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1768))))))))))))))))))))))))))))))))))))), x1768 >= 0
   1'(z) -{ 2 }-> 1'(0'(2'(2'(4'(0'(3'(1'(0'(0'(3'(0'(2'(1'(1'(2'(2'(3'(1'(0'(0'(0'(1'(2'(2'(2'(0'(4'(1'(4'(1'(2'(4'(3'(3'(1'(0'(3'(3'(x1764))))))))))))))))))))))))))))))))))))))) :|: x1764 >= 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 + x1764)))))))))))))))))))))))))))))))))))))
   1'(z) -{ 1 }-> 1'(0'(2'(2'(4'(0'(3'(1'(0'(0'(3'(0'(2'(1'(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))))))))))))))))))
   1'(z) -{ 1 }-> 1'(0'(2'(2'(4'(0'(3'(1'(0'(0'(3'(0'(2'(1'(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))))))))))))))))))
   1'(z) -{ 2 }-> 0'(4'(2'(4'(3'(3'(2'(1'(4'(2'(4'(4'(3'(2'(2'(3'(1'(2'(2'(4'(4'(1'(4'(4'(3'(2'(1'(1'(0'(2'(2'(1'(2'(1'(0'(3'(4'(2'(2'(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
   1'(z) -{ 2 }-> 0'(4'(2'(4'(3'(3'(2'(1'(4'(2'(4'(4'(3'(2'(2'(3'(1'(2'(2'(4'(3'(3'(0'(2'(3'(4'(2'(4'(1'(2'(1'(4'(3'(4'(3'(3'(2'(2'(3'(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)))))))))))))))))))))))))))))))))))))
   1'(z) -{ 2 }-> 0'(4'(2'(4'(3'(3'(2'(1'(4'(2'(4'(4'(3'(2'(2'(3'(1'(2'(2'(4'(1'(2'(2'(2'(2'(4'(4'(2'(0'(3'(2'(1'(0'(4'(4'(1'(4'(2'(0'(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
   1'(z) -{ 2 }-> 0'(4'(2'(4'(3'(3'(2'(1'(4'(2'(4'(4'(3'(2'(2'(3'(1'(2'(2'(4'(1'(2'(0'(3'(0'(1'(2'(3'(0'(2'(1'(3'(2'(0'(3'(0'(2'(4'(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
   1'(z) -{ 2 }-> 0'(4'(2'(4'(3'(3'(2'(1'(4'(2'(4'(4'(3'(2'(2'(3'(1'(2'(2'(3'(2'(3'(1'(0'(1'(2'(0'(2'(2'(3'(2'(0'(4'(4'(2'(0'(4'(4'(2'(x1107))))))))))))))))))))))))))))))))))))))) :|: x1107 >= 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 + x1107)))))))))))))))))))))))))))))))))))))
   1'(z) -{ 2 }-> 0'(4'(2'(4'(3'(3'(2'(1'(4'(2'(4'(4'(3'(2'(2'(3'(1'(2'(2'(3'(0'(0'(1'(4'(1'(2'(3'(3'(4'(2'(1'(1'(3'(2'(2'(1'(3'(2'(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)))))))))))))))))))))))))))))))))))))
   1'(z) -{ 2 }-> 0'(4'(2'(4'(3'(3'(2'(1'(4'(2'(4'(4'(3'(2'(2'(3'(1'(2'(2'(2'(4'(3'(3'(0'(3'(1'(2'(3'(3'(4'(2'(0'(0'(4'(2'(0'(1'(2'(2'(x1106))))))))))))))))))))))))))))))))))))))) :|: x1106 >= 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 + x1106)))))))))))))))))))))))))))))))))))))
   1'(z) -{ 2 }-> 0'(4'(2'(4'(3'(3'(2'(1'(4'(2'(4'(4'(3'(2'(2'(3'(1'(2'(2'(2'(4'(3'(0'(3'(0'(2'(3'(0'(4'(2'(2'(2'(3'(3'(2'(4'(3'(1'(1'(x1109))))))))))))))))))))))))))))))))))))))) :|: x1109 >= 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 + x1109)))))))))))))))))))))))))))))))))))))
   1'(z) -{ 2 }-> 0'(4'(2'(4'(3'(3'(2'(1'(4'(2'(4'(4'(3'(2'(2'(3'(1'(2'(2'(2'(4'(2'(1'(2'(2'(3'(0'(2'(0'(1'(2'(2'(0'(1'(2'(0'(0'(4'(2'(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)))))))))))))))))))))))))))))))))))))
   1'(z) -{ 2 }-> 0'(4'(2'(4'(3'(3'(2'(1'(4'(2'(4'(4'(3'(2'(2'(3'(1'(2'(2'(2'(2'(4'(3'(4'(2'(3'(4'(1'(2'(1'(0'(0'(2'(0'(4'(1'(4'(2'(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)))))))))))))))))))))))))))))))))))))
   1'(z) -{ 2 }-> 0'(4'(2'(4'(3'(3'(2'(1'(4'(2'(4'(4'(3'(2'(2'(3'(1'(2'(2'(2'(1'(3'(0'(0'(1'(4'(3'(1'(3'(2'(2'(2'(1'(3'(0'(2'(0'(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)))))))))))))))))))))))))))))))))))))
   1'(z) -{ 2 }-> 0'(4'(2'(4'(3'(3'(2'(1'(4'(2'(4'(4'(3'(2'(2'(3'(1'(2'(2'(2'(1'(2'(2'(3'(3'(2'(0'(4'(4'(3'(3'(1'(0'(0'(3'(4'(2'(2'(4'(x1110))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1110))))))))))))))))))))))))))))))))))))), x1110 >= 0
   1'(z) -{ 2 }-> 0'(4'(2'(4'(3'(3'(2'(1'(4'(2'(4'(4'(3'(2'(2'(3'(1'(2'(2'(1'(3'(3'(2'(4'(2'(1'(2'(1'(2'(0'(2'(0'(3'(2'(2'(4'(0'(3'(3'(x1108))))))))))))))))))))))))))))))))))))))) :|: x1108 >= 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 + x1108)))))))))))))))))))))))))))))))))))))
   1'(z) -{ 2 }-> 0'(4'(2'(4'(3'(3'(2'(1'(4'(2'(4'(4'(3'(2'(2'(3'(1'(2'(2'(1'(1'(2'(3'(3'(4'(4'(4'(2'(3'(2'(2'(1'(2'(0'(1'(2'(0'(4'(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
   1'(z) -{ 2 }-> 0'(4'(2'(4'(3'(3'(2'(1'(4'(2'(4'(4'(3'(2'(2'(3'(1'(2'(2'(1'(1'(1'(3'(0'(3'(0'(2'(3'(2'(2'(4'(1'(2'(3'(4'(1'(2'(2'(4'(x1105))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1105))))))))))))))))))))))))))))))))))))), x1105 >= 0
   1'(z) -{ 2 }-> 0'(4'(2'(4'(3'(3'(2'(1'(4'(2'(4'(4'(3'(2'(2'(3'(1'(2'(2'(0'(4'(0'(0'(2'(3'(0'(4'(1'(2'(3'(0'(3'(0'(1'(4'(2'(2'(3'(3'(x1104))))))))))))))))))))))))))))))))))))))) :|: x1104 >= 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 + x1104)))))))))))))))))))))))))))))))))))))
   1'(z) -{ 2 }-> 0'(4'(2'(4'(3'(3'(2'(1'(4'(2'(4'(4'(3'(2'(2'(3'(1'(2'(2'(0'(0'(0'(1'(2'(2'(2'(0'(4'(1'(4'(1'(2'(4'(3'(3'(1'(0'(3'(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
   1'(z) -{ 1 }-> 0'(4'(2'(4'(3'(3'(2'(1'(4'(2'(4'(4'(3'(2'(2'(3'(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))))))))))))))))))
   1'(z) -{ 1 }-> 0'(4'(2'(4'(3'(3'(2'(1'(4'(2'(4'(4'(3'(2'(2'(3'(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))))))))))))))))))
   1'(z) -{ 2 }-> 0'(4'(0'(3'(0'(3'(0'(3'(2'(0'(1'(0'(0'(2'(1'(3'(2'(1'(2'(4'(4'(1'(4'(4'(3'(2'(1'(1'(0'(2'(2'(1'(2'(1'(0'(3'(4'(2'(2'(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)))))))))))))))))))))))))))))))))))))
   1'(z) -{ 2 }-> 0'(4'(0'(3'(0'(3'(0'(3'(2'(0'(1'(0'(0'(2'(1'(3'(2'(1'(2'(4'(3'(3'(0'(2'(3'(4'(2'(4'(1'(2'(1'(4'(3'(4'(3'(3'(2'(2'(3'(x11396))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11396))))))))))))))))))))))))))))))))))))), x11396 >= 0
   1'(z) -{ 2 }-> 0'(4'(0'(3'(0'(3'(0'(3'(2'(0'(1'(0'(0'(2'(1'(3'(2'(1'(2'(4'(1'(2'(2'(2'(2'(4'(4'(2'(0'(3'(2'(1'(0'(4'(4'(1'(4'(2'(0'(x11391))))))))))))))))))))))))))))))))))))))) :|: x11391 >= 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 + x11391)))))))))))))))))))))))))))))))))))))
   1'(z) -{ 2 }-> 0'(4'(0'(3'(0'(3'(0'(3'(2'(0'(1'(0'(0'(2'(1'(3'(2'(1'(2'(4'(1'(2'(0'(3'(0'(1'(2'(3'(0'(2'(1'(3'(2'(0'(3'(0'(2'(4'(0'(x11395))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11395))))))))))))))))))))))))))))))))))))), x11395 >= 0
   1'(z) -{ 2 }-> 0'(4'(0'(3'(0'(3'(0'(3'(2'(0'(1'(0'(0'(2'(1'(3'(2'(1'(2'(3'(2'(3'(1'(0'(1'(2'(0'(2'(2'(3'(2'(0'(4'(4'(2'(0'(4'(4'(2'(x11400))))))))))))))))))))))))))))))))))))))) :|: x11400 >= 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 + x11400)))))))))))))))))))))))))))))))))))))
   1'(z) -{ 2 }-> 0'(4'(0'(3'(0'(3'(0'(3'(2'(0'(1'(0'(0'(2'(1'(3'(2'(1'(2'(3'(0'(0'(1'(4'(1'(2'(3'(3'(4'(2'(1'(1'(3'(2'(2'(1'(3'(2'(4'(x11392))))))))))))))))))))))))))))))))))))))) :|: x11392 >= 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 + x11392)))))))))))))))))))))))))))))))))))))
   1'(z) -{ 2 }-> 0'(4'(0'(3'(0'(3'(0'(3'(2'(0'(1'(0'(0'(2'(1'(3'(2'(1'(2'(2'(4'(3'(3'(0'(3'(1'(2'(3'(3'(4'(2'(0'(0'(4'(2'(0'(1'(2'(2'(x11399))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11399))))))))))))))))))))))))))))))))))))), x11399 >= 0
   1'(z) -{ 2 }-> 0'(4'(0'(3'(0'(3'(0'(3'(2'(0'(1'(0'(0'(2'(1'(3'(2'(1'(2'(2'(4'(3'(0'(3'(0'(2'(3'(0'(4'(2'(2'(2'(3'(3'(2'(4'(3'(1'(1'(x11402))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11402))))))))))))))))))))))))))))))))))))), x11402 >= 0
   1'(z) -{ 2 }-> 0'(4'(0'(3'(0'(3'(0'(3'(2'(0'(1'(0'(0'(2'(1'(3'(2'(1'(2'(2'(4'(2'(1'(2'(2'(3'(0'(2'(0'(1'(2'(2'(0'(1'(2'(0'(0'(4'(2'(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
   1'(z) -{ 2 }-> 0'(4'(0'(3'(0'(3'(0'(3'(2'(0'(1'(0'(0'(2'(1'(3'(2'(1'(2'(2'(2'(4'(3'(4'(2'(3'(4'(1'(2'(1'(0'(0'(2'(0'(4'(1'(4'(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
   1'(z) -{ 2 }-> 0'(4'(0'(3'(0'(3'(0'(3'(2'(0'(1'(0'(0'(2'(1'(3'(2'(1'(2'(2'(1'(3'(0'(0'(1'(4'(3'(1'(3'(2'(2'(2'(1'(3'(0'(2'(0'(0'(2'(x11390))))))))))))))))))))))))))))))))))))))) :|: x11390 >= 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 + x11390)))))))))))))))))))))))))))))))))))))
   1'(z) -{ 2 }-> 0'(4'(0'(3'(0'(3'(0'(3'(2'(0'(1'(0'(0'(2'(1'(3'(2'(1'(2'(2'(1'(2'(2'(3'(3'(2'(0'(4'(4'(3'(3'(1'(0'(0'(3'(4'(2'(2'(4'(x11403))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11403))))))))))))))))))))))))))))))))))))), x11403 >= 0
   1'(z) -{ 2 }-> 0'(4'(0'(3'(0'(3'(0'(3'(2'(0'(1'(0'(0'(2'(1'(3'(2'(1'(2'(1'(3'(3'(2'(4'(2'(1'(2'(1'(2'(0'(2'(0'(3'(2'(2'(4'(0'(3'(3'(x11401))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11401))))))))))))))))))))))))))))))))))))), x11401 >= 0
   1'(z) -{ 2 }-> 0'(4'(0'(3'(0'(3'(0'(3'(2'(0'(1'(0'(0'(2'(1'(3'(2'(1'(2'(1'(1'(2'(3'(3'(4'(4'(4'(2'(3'(2'(2'(1'(2'(0'(1'(2'(0'(4'(4'(x11394))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11394))))))))))))))))))))))))))))))))))))), x11394 >= 0
   1'(z) -{ 2 }-> 0'(4'(0'(3'(0'(3'(0'(3'(2'(0'(1'(0'(0'(2'(1'(3'(2'(1'(2'(1'(1'(1'(3'(0'(3'(0'(2'(3'(2'(2'(4'(1'(2'(3'(4'(1'(2'(2'(4'(x11398))))))))))))))))))))))))))))))))))))))) :|: x11398 >= 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 + x11398)))))))))))))))))))))))))))))))))))))
   1'(z) -{ 2 }-> 0'(4'(0'(3'(0'(3'(0'(3'(2'(0'(1'(0'(0'(2'(1'(3'(2'(1'(2'(0'(4'(0'(0'(2'(3'(0'(4'(1'(2'(3'(0'(3'(0'(1'(4'(2'(2'(3'(3'(x11397))))))))))))))))))))))))))))))))))))))) :|: x11397 >= 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 + x11397)))))))))))))))))))))))))))))))))))))
   1'(z) -{ 2 }-> 0'(4'(0'(3'(0'(3'(0'(3'(2'(0'(1'(0'(0'(2'(1'(3'(2'(1'(2'(0'(0'(0'(1'(2'(2'(2'(0'(4'(1'(4'(1'(2'(4'(3'(3'(1'(0'(3'(3'(x11393))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11393))))))))))))))))))))))))))))))))))))), x11393 >= 0
   1'(z) -{ 1 }-> 0'(4'(0'(3'(0'(3'(0'(3'(2'(0'(1'(0'(0'(2'(1'(3'(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))))))))))))))))))
   1'(z) -{ 1 }-> 0'(4'(0'(3'(0'(3'(0'(3'(2'(0'(1'(0'(0'(2'(1'(3'(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))))))))))))))))))
   1'(z) -{ 0 }-> 0 :|: v0 >= 0, z = v0
   1'(z) -{ 0 }-> 1 + x0 :|: z = x0, x0 >= 0
   2'(z) -{ 1 }-> 4'(3'(2'(3'(2'(2'(2'(1'(4'(1'(2'(2'(0'(1'(1'(1'(0'(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))))))))))))))))))
   2'(z) -{ 1 }-> 4'(2'(2'(2'(3'(3'(4'(1'(4'(0'(2'(3'(2'(1'(0'(3'(2'(3'(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))))))))))))))))))
   2'(z) -{ 1 }-> 4'(0'(3'(4'(3'(4'(0'(0'(2'(2'(2'(1'(2'(2'(2'(1'(1'(2'(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))))))))))))))))))
   2'(z) -{ 1 }-> 3'(4'(3'(0'(2'(2'(2'(4'(3'(2'(0'(3'(0'(3'(2'(0'(3'(0'(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))))))))))))))))))
   2'(z) -{ 1 }-> 3'(4'(2'(2'(0'(0'(0'(0'(2'(4'(2'(3'(2'(0'(3'(2'(3'(0'(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))))))))))))))))))
   2'(z) -{ 2 }-> 3'(3'(2'(0'(4'(0'(2'(4'(2'(3'(2'(2'(4'(4'(0'(4'(0'(3'(4'(3'(4'(2'(1'(1'(0'(1'(2'(1'(4'(4'(2'(3'(3'(4'(2'(1'(2'(3'(2'(x1221))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1221))))))))))))))))))))))))))))))))))))), x1221 >= 0
   2'(z) -{ 2 }-> 3'(3'(2'(0'(4'(0'(2'(4'(2'(3'(2'(2'(4'(4'(0'(4'(0'(3'(4'(3'(3'(4'(3'(1'(2'(2'(4'(4'(0'(2'(2'(2'(2'(0'(0'(2'(0'(1'(4'(x1224))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1224))))))))))))))))))))))))))))))))))))), x1224 >= 0
   2'(z) -{ 2 }-> 3'(3'(2'(0'(4'(0'(2'(4'(2'(3'(2'(2'(4'(4'(0'(4'(0'(3'(4'(3'(2'(1'(4'(2'(2'(3'(4'(2'(3'(1'(4'(2'(3'(0'(3'(3'(4'(0'(3'(x1225))))))))))))))))))))))))))))))))))))))) :|: x1225 >= 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 + x1225)))))))))))))))))))))))))))))))))))))
   2'(z) -{ 2 }-> 3'(3'(2'(0'(4'(0'(2'(4'(2'(3'(2'(2'(4'(4'(0'(4'(0'(3'(4'(3'(1'(4'(3'(1'(0'(3'(4'(0'(3'(2'(2'(4'(0'(2'(3'(3'(2'(2'(0'(x1231))))))))))))))))))))))))))))))))))))))) :|: x1231 >= 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 + x1231)))))))))))))))))))))))))))))))))))))
   2'(z) -{ 2 }-> 3'(3'(2'(0'(4'(0'(2'(4'(2'(3'(2'(2'(4'(4'(0'(4'(0'(3'(4'(2'(4'(4'(0'(3'(3'(0'(3'(3'(3'(2'(4'(2'(2'(0'(0'(0'(0'(3'(3'(x1220))))))))))))))))))))))))))))))))))))))) :|: x1220 >= 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 + x1220)))))))))))))))))))))))))))))))))))))
   2'(z) -{ 2 }-> 3'(3'(2'(0'(4'(0'(2'(4'(2'(3'(2'(2'(4'(4'(0'(4'(0'(3'(4'(2'(4'(3'(0'(2'(0'(3'(1'(2'(1'(1'(2'(2'(3'(0'(2'(4'(3'(1'(3'(x1219))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1219))))))))))))))))))))))))))))))))))))), x1219 >= 0
   2'(z) -{ 2 }-> 3'(3'(2'(0'(4'(0'(2'(4'(2'(3'(2'(2'(4'(4'(0'(4'(0'(3'(4'(2'(3'(4'(2'(0'(0'(0'(0'(3'(1'(2'(2'(4'(1'(2'(3'(1'(0'(4'(4'(x1226))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1226))))))))))))))))))))))))))))))))))))), x1226 >= 0
   2'(z) -{ 2 }-> 3'(3'(2'(0'(4'(0'(2'(4'(2'(3'(2'(2'(4'(4'(0'(4'(0'(3'(4'(2'(3'(0'(2'(0'(2'(2'(2'(3'(4'(1'(0'(2'(3'(1'(2'(1'(2'(4'(2'(x1229))))))))))))))))))))))))))))))))))))))) :|: x1229 >= 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 + x1229)))))))))))))))))))))))))))))))))))))
   2'(z) -{ 2 }-> 3'(3'(2'(0'(4'(0'(2'(4'(2'(3'(2'(2'(4'(4'(0'(4'(0'(3'(4'(2'(2'(1'(0'(1'(4'(3'(2'(3'(0'(0'(0'(4'(3'(2'(1'(1'(2'(0'(2'(x1228))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1228))))))))))))))))))))))))))))))))))))), x1228 >= 0
   2'(z) -{ 2 }-> 3'(3'(2'(0'(4'(0'(2'(4'(2'(3'(2'(2'(4'(4'(0'(4'(0'(3'(4'(2'(0'(2'(0'(2'(0'(2'(0'(4'(2'(4'(2'(3'(2'(3'(1'(2'(2'(2'(1'(x1230))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1230))))))))))))))))))))))))))))))))))))), x1230 >= 0
   2'(z) -{ 2 }-> 3'(3'(2'(0'(4'(0'(2'(4'(2'(3'(2'(2'(4'(4'(0'(4'(0'(3'(4'(1'(2'(2'(2'(0'(0'(2'(2'(3'(0'(4'(4'(2'(1'(4'(2'(2'(2'(4'(1'(x1222))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1222))))))))))))))))))))))))))))))))))))), x1222 >= 0
   2'(z) -{ 2 }-> 3'(3'(2'(0'(4'(0'(2'(4'(2'(3'(2'(2'(4'(4'(0'(4'(0'(3'(4'(1'(0'(2'(2'(4'(0'(3'(1'(0'(0'(3'(0'(2'(1'(1'(2'(2'(3'(1'(0'(x1223))))))))))))))))))))))))))))))))))))))) :|: x1223 >= 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 + x1223)))))))))))))))))))))))))))))))))))))
   2'(z) -{ 2 }-> 3'(3'(2'(0'(4'(0'(2'(4'(2'(3'(2'(2'(4'(4'(0'(4'(0'(3'(4'(0'(4'(2'(4'(3'(3'(2'(1'(4'(2'(4'(4'(3'(2'(2'(3'(1'(2'(2'(0'(x1218))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1218))))))))))))))))))))))))))))))))))))), x1218 >= 0
   2'(z) -{ 2 }-> 3'(3'(2'(0'(4'(0'(2'(4'(2'(3'(2'(2'(4'(4'(0'(4'(0'(3'(4'(0'(4'(0'(3'(0'(3'(0'(3'(2'(0'(1'(0'(0'(2'(1'(3'(2'(1'(2'(0'(x1227))))))))))))))))))))))))))))))))))))))) :|: x1227 >= 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 + x1227)))))))))))))))))))))))))))))))))))))
   2'(z) -{ 1 }-> 3'(3'(2'(0'(4'(0'(2'(4'(2'(3'(2'(2'(4'(4'(0'(4'(0'(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 }-> 3'(3'(2'(0'(4'(0'(2'(4'(2'(3'(2'(2'(4'(4'(0'(4'(0'(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) -{ 1 }-> 3'(3'(1'(4'(3'(2'(3'(2'(2'(3'(2'(1'(1'(0'(3'(3'(3'(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))))))))))))))))))
   2'(z) -{ 1 }-> 3'(1'(3'(2'(2'(4'(0'(3'(2'(1'(0'(0'(2'(3'(3'(3'(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))))))))))))))))))
   2'(z) -{ 2 }-> 3'(0'(3'(2'(1'(4'(1'(4'(0'(0'(2'(2'(0'(1'(1'(0'(4'(1'(2'(3'(4'(2'(1'(1'(0'(1'(2'(1'(4'(4'(2'(3'(3'(4'(2'(1'(2'(3'(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
   2'(z) -{ 2 }-> 3'(0'(3'(2'(1'(4'(1'(4'(0'(0'(2'(2'(0'(1'(1'(0'(4'(1'(2'(3'(3'(4'(3'(1'(2'(2'(4'(4'(0'(2'(2'(2'(2'(0'(0'(2'(0'(1'(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
   2'(z) -{ 2 }-> 3'(0'(3'(2'(1'(4'(1'(4'(0'(0'(2'(2'(0'(1'(1'(0'(4'(1'(2'(3'(2'(1'(4'(2'(2'(3'(4'(2'(3'(1'(4'(2'(3'(0'(3'(3'(4'(0'(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
   2'(z) -{ 2 }-> 3'(0'(3'(2'(1'(4'(1'(4'(0'(0'(2'(2'(0'(1'(1'(0'(4'(1'(2'(3'(1'(4'(3'(1'(0'(3'(4'(0'(3'(2'(2'(4'(0'(2'(3'(3'(2'(2'(0'(x112))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x112))))))))))))))))))))))))))))))))))))), x112 >= 0
   2'(z) -{ 2 }-> 3'(0'(3'(2'(1'(4'(1'(4'(0'(0'(2'(2'(0'(1'(1'(0'(4'(1'(2'(2'(4'(4'(0'(3'(3'(0'(3'(3'(3'(2'(4'(2'(2'(0'(0'(0'(0'(3'(3'(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
   2'(z) -{ 2 }-> 3'(0'(3'(2'(1'(4'(1'(4'(0'(0'(2'(2'(0'(1'(1'(0'(4'(1'(2'(2'(4'(3'(0'(2'(0'(3'(1'(2'(1'(1'(2'(2'(3'(0'(2'(4'(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 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1'')))))))))))))))))))))))))))))))))))))
   2'(z) -{ 2 }-> 3'(0'(3'(2'(1'(4'(1'(4'(0'(0'(2'(2'(0'(1'(1'(0'(4'(1'(2'(2'(3'(4'(2'(0'(0'(0'(0'(3'(1'(2'(2'(4'(1'(2'(3'(1'(0'(4'(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)))))))))))))))))))))))))))))))))))))
   2'(z) -{ 2 }-> 3'(0'(3'(2'(1'(4'(1'(4'(0'(0'(2'(2'(0'(1'(1'(0'(4'(1'(2'(2'(3'(0'(2'(0'(2'(2'(2'(3'(4'(1'(0'(2'(3'(1'(2'(1'(2'(4'(2'(x110))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x110))))))))))))))))))))))))))))))))))))), x110 >= 0
   2'(z) -{ 2 }-> 3'(0'(3'(2'(1'(4'(1'(4'(0'(0'(2'(2'(0'(1'(1'(0'(4'(1'(2'(2'(2'(1'(0'(1'(4'(3'(2'(3'(0'(0'(0'(4'(3'(2'(1'(1'(2'(0'(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)))))))))))))))))))))))))))))))))))))
   2'(z) -{ 2 }-> 3'(0'(3'(2'(1'(4'(1'(4'(0'(0'(2'(2'(0'(1'(1'(0'(4'(1'(2'(2'(0'(2'(0'(2'(0'(2'(0'(4'(2'(4'(2'(3'(2'(3'(1'(2'(2'(2'(1'(x111))))))))))))))))))))))))))))))))))))))) :|: x111 >= 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 + x111)))))))))))))))))))))))))))))))))))))
   2'(z) -{ 2 }-> 3'(0'(3'(2'(1'(4'(1'(4'(0'(0'(2'(2'(0'(1'(1'(0'(4'(1'(2'(1'(2'(2'(2'(0'(0'(2'(2'(3'(0'(4'(4'(2'(1'(4'(2'(2'(2'(4'(1'(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)))))))))))))))))))))))))))))))))))))
   2'(z) -{ 2 }-> 3'(0'(3'(2'(1'(4'(1'(4'(0'(0'(2'(2'(0'(1'(1'(0'(4'(1'(2'(1'(0'(2'(2'(4'(0'(3'(1'(0'(0'(3'(0'(2'(1'(1'(2'(2'(3'(1'(0'(x14))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x14))))))))))))))))))))))))))))))))))))), x14 >= 0
   2'(z) -{ 2 }-> 3'(0'(3'(2'(1'(4'(1'(4'(0'(0'(2'(2'(0'(1'(1'(0'(4'(1'(2'(0'(4'(2'(4'(3'(3'(2'(1'(4'(2'(4'(4'(3'(2'(2'(3'(1'(2'(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 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1')))))))))))))))))))))))))))))))))))))
   2'(z) -{ 2 }-> 3'(0'(3'(2'(1'(4'(1'(4'(0'(0'(2'(2'(0'(1'(1'(0'(4'(1'(2'(0'(4'(0'(3'(0'(3'(0'(3'(2'(0'(1'(0'(0'(2'(1'(3'(2'(1'(2'(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
   2'(z) -{ 1 }-> 3'(0'(3'(2'(1'(4'(1'(4'(0'(0'(2'(2'(0'(1'(1'(0'(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))))))))))))))))))
   2'(z) -{ 1 }-> 3'(0'(3'(2'(1'(4'(1'(4'(0'(0'(2'(2'(0'(1'(1'(0'(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))))))))))))))))))
   2'(z) -{ 1 }-> 3'(0'(3'(2'(1'(1'(1'(3'(4'(0'(3'(2'(0'(2'(2'(3'(2'(0'(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))))))))))))))))))
   2'(z) -{ 2 }-> 3'(0'(2'(4'(1'(2'(0'(4'(2'(1'(3'(0'(2'(3'(4'(2'(3'(3'(4'(4'(4'(1'(4'(4'(3'(2'(1'(1'(0'(2'(2'(1'(2'(1'(0'(3'(4'(2'(2'(x11208))))))))))))))))))))))))))))))))))))))) :|: x11208 >= 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 + x11208)))))))))))))))))))))))))))))))))))))
   2'(z) -{ 2 }-> 3'(0'(2'(4'(1'(2'(0'(4'(2'(1'(3'(0'(2'(3'(4'(2'(3'(3'(4'(4'(3'(3'(0'(2'(3'(4'(2'(4'(1'(2'(1'(4'(3'(4'(3'(3'(2'(2'(3'(x11216))))))))))))))))))))))))))))))))))))))) :|: x11216 >= 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 + x11216)))))))))))))))))))))))))))))))))))))
   2'(z) -{ 2 }-> 3'(0'(2'(4'(1'(2'(0'(4'(2'(1'(3'(0'(2'(3'(4'(2'(3'(3'(4'(4'(1'(2'(2'(2'(2'(4'(4'(2'(0'(3'(2'(1'(0'(4'(4'(1'(4'(2'(0'(x11211))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11211))))))))))))))))))))))))))))))))))))), x11211 >= 0
   2'(z) -{ 2 }-> 3'(0'(2'(4'(1'(2'(0'(4'(2'(1'(3'(0'(2'(3'(4'(2'(3'(3'(4'(4'(1'(2'(0'(3'(0'(1'(2'(3'(0'(2'(1'(3'(2'(0'(3'(0'(2'(4'(0'(x11215))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11215))))))))))))))))))))))))))))))))))))), x11215 >= 0
   2'(z) -{ 2 }-> 3'(0'(2'(4'(1'(2'(0'(4'(2'(1'(3'(0'(2'(3'(4'(2'(3'(3'(4'(3'(2'(3'(1'(0'(1'(2'(0'(2'(2'(3'(2'(0'(4'(4'(2'(0'(4'(4'(2'(x11220))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11220))))))))))))))))))))))))))))))))))))), x11220 >= 0
   2'(z) -{ 2 }-> 3'(0'(2'(4'(1'(2'(0'(4'(2'(1'(3'(0'(2'(3'(4'(2'(3'(3'(4'(3'(0'(0'(1'(4'(1'(2'(3'(3'(4'(2'(1'(1'(3'(2'(2'(1'(3'(2'(4'(x11212))))))))))))))))))))))))))))))))))))))) :|: x11212 >= 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 + x11212)))))))))))))))))))))))))))))))))))))
   2'(z) -{ 2 }-> 3'(0'(2'(4'(1'(2'(0'(4'(2'(1'(3'(0'(2'(3'(4'(2'(3'(3'(4'(2'(4'(3'(3'(0'(3'(1'(2'(3'(3'(4'(2'(0'(0'(4'(2'(0'(1'(2'(2'(x11219))))))))))))))))))))))))))))))))))))))) :|: x11219 >= 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 + x11219)))))))))))))))))))))))))))))))))))))
   2'(z) -{ 2 }-> 3'(0'(2'(4'(1'(2'(0'(4'(2'(1'(3'(0'(2'(3'(4'(2'(3'(3'(4'(2'(4'(3'(0'(3'(0'(2'(3'(0'(4'(2'(2'(2'(3'(3'(2'(4'(3'(1'(1'(x11222))))))))))))))))))))))))))))))))))))))) :|: x11222 >= 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 + x11222)))))))))))))))))))))))))))))))))))))
   2'(z) -{ 2 }-> 3'(0'(2'(4'(1'(2'(0'(4'(2'(1'(3'(0'(2'(3'(4'(2'(3'(3'(4'(2'(4'(2'(1'(2'(2'(3'(0'(2'(0'(1'(2'(2'(0'(1'(2'(0'(0'(4'(2'(x11207))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11207))))))))))))))))))))))))))))))))))))), x11207 >= 0
   2'(z) -{ 2 }-> 3'(0'(2'(4'(1'(2'(0'(4'(2'(1'(3'(0'(2'(3'(4'(2'(3'(3'(4'(2'(2'(4'(3'(4'(2'(3'(4'(1'(2'(1'(0'(0'(2'(0'(4'(1'(4'(2'(2'(x11209))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11209))))))))))))))))))))))))))))))))))))), x11209 >= 0
   2'(z) -{ 2 }-> 3'(0'(2'(4'(1'(2'(0'(4'(2'(1'(3'(0'(2'(3'(4'(2'(3'(3'(4'(2'(1'(3'(0'(0'(1'(4'(3'(1'(3'(2'(2'(2'(1'(3'(0'(2'(0'(0'(2'(x11210))))))))))))))))))))))))))))))))))))))) :|: x11210 >= 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 + x11210)))))))))))))))))))))))))))))))))))))
   2'(z) -{ 2 }-> 3'(0'(2'(4'(1'(2'(0'(4'(2'(1'(3'(0'(2'(3'(4'(2'(3'(3'(4'(2'(1'(2'(2'(3'(3'(2'(0'(4'(4'(3'(3'(1'(0'(0'(3'(4'(2'(2'(4'(x11223))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11223))))))))))))))))))))))))))))))))))))), x11223 >= 0
   2'(z) -{ 2 }-> 3'(0'(2'(4'(1'(2'(0'(4'(2'(1'(3'(0'(2'(3'(4'(2'(3'(3'(4'(1'(3'(3'(2'(4'(2'(1'(2'(1'(2'(0'(2'(0'(3'(2'(2'(4'(0'(3'(3'(x11221))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11221))))))))))))))))))))))))))))))))))))), x11221 >= 0
   2'(z) -{ 2 }-> 3'(0'(2'(4'(1'(2'(0'(4'(2'(1'(3'(0'(2'(3'(4'(2'(3'(3'(4'(1'(1'(2'(3'(3'(4'(4'(4'(2'(3'(2'(2'(1'(2'(0'(1'(2'(0'(4'(4'(x11214))))))))))))))))))))))))))))))))))))))) :|: x11214 >= 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 + x11214)))))))))))))))))))))))))))))))))))))
   2'(z) -{ 2 }-> 3'(0'(2'(4'(1'(2'(0'(4'(2'(1'(3'(0'(2'(3'(4'(2'(3'(3'(4'(1'(1'(1'(3'(0'(3'(0'(2'(3'(2'(2'(4'(1'(2'(3'(4'(1'(2'(2'(4'(x11218))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11218))))))))))))))))))))))))))))))))))))), x11218 >= 0
   2'(z) -{ 2 }-> 3'(0'(2'(4'(1'(2'(0'(4'(2'(1'(3'(0'(2'(3'(4'(2'(3'(3'(4'(0'(4'(0'(0'(2'(3'(0'(4'(1'(2'(3'(0'(3'(0'(1'(4'(2'(2'(3'(3'(x11217))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11217))))))))))))))))))))))))))))))))))))), x11217 >= 0
   2'(z) -{ 2 }-> 3'(0'(2'(4'(1'(2'(0'(4'(2'(1'(3'(0'(2'(3'(4'(2'(3'(3'(4'(0'(0'(0'(1'(2'(2'(2'(0'(4'(1'(4'(1'(2'(4'(3'(3'(1'(0'(3'(3'(x11213))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11213))))))))))))))))))))))))))))))))))))), x11213 >= 0
   2'(z) -{ 1 }-> 3'(0'(2'(4'(1'(2'(0'(4'(2'(1'(3'(0'(2'(3'(4'(2'(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 }-> 3'(0'(2'(4'(1'(2'(0'(4'(2'(1'(3'(0'(2'(3'(4'(2'(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) -{ 1 }-> 2'(3'(4'(2'(1'(1'(1'(3'(2'(3'(0'(2'(4'(1'(2'(0'(2'(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))))))))))))))))))
   2'(z) -{ 1 }-> 2'(3'(3'(1'(3'(1'(2'(1'(1'(0'(2'(0'(0'(2'(3'(3'(0'(3'(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'(3'(0'(2'(0'(3'(0'(2'(1'(0'(4'(2'(2'(1'(3'(1'(3'(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))))))))))))))))))
   2'(z) -{ 1 }-> 2'(2'(3'(0'(4'(4'(0'(0'(1'(3'(3'(0'(4'(3'(4'(2'(2'(4'(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))))))))))))))))))
   2'(z) -{ 1 }-> 2'(2'(2'(4'(3'(2'(0'(1'(4'(1'(2'(3'(0'(3'(1'(3'(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))))))))))))))))))
   2'(z) -{ 1 }-> 2'(2'(2'(3'(3'(4'(1'(4'(3'(0'(0'(2'(0'(1'(1'(2'(3'(0'(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))))))))))))))))))
   2'(z) -{ 1 }-> 2'(2'(0'(1'(4'(3'(2'(2'(4'(3'(0'(2'(4'(3'(2'(0'(0'(1'(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))))))))))))))))))
   2'(z) -{ 1 }-> 2'(0'(1'(1'(2'(2'(4'(3'(2'(2'(1'(3'(0'(1'(2'(3'(0'(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 }-> 1'(4'(2'(4'(4'(4'(4'(3'(2'(4'(4'(3'(2'(2'(0'(0'(4'(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))))))))))))))))))
   2'(z) -{ 2 }-> 1'(3'(1'(3'(3'(2'(0'(2'(2'(3'(0'(1'(2'(2'(2'(4'(1'(2'(1'(3'(4'(2'(1'(1'(0'(1'(2'(1'(4'(4'(2'(3'(3'(4'(2'(1'(2'(3'(2'(x11061))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11061))))))))))))))))))))))))))))))))))))), x11061 >= 0
   2'(z) -{ 2 }-> 1'(3'(1'(3'(3'(2'(0'(2'(2'(3'(0'(1'(2'(2'(2'(4'(1'(2'(1'(3'(3'(4'(3'(1'(2'(2'(4'(4'(0'(2'(2'(2'(2'(0'(0'(2'(0'(1'(4'(x11064))))))))))))))))))))))))))))))))))))))) :|: x11064 >= 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 + x11064)))))))))))))))))))))))))))))))))))))
   2'(z) -{ 2 }-> 1'(3'(1'(3'(3'(2'(0'(2'(2'(3'(0'(1'(2'(2'(2'(4'(1'(2'(1'(3'(2'(1'(4'(2'(2'(3'(4'(2'(3'(1'(4'(2'(3'(0'(3'(3'(4'(0'(3'(x11065))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11065))))))))))))))))))))))))))))))))))))), x11065 >= 0
   2'(z) -{ 2 }-> 1'(3'(1'(3'(3'(2'(0'(2'(2'(3'(0'(1'(2'(2'(2'(4'(1'(2'(1'(3'(1'(4'(3'(1'(0'(3'(4'(0'(3'(2'(2'(4'(0'(2'(3'(3'(2'(2'(0'(x11071))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11071))))))))))))))))))))))))))))))))))))), x11071 >= 0
   2'(z) -{ 2 }-> 1'(3'(1'(3'(3'(2'(0'(2'(2'(3'(0'(1'(2'(2'(2'(4'(1'(2'(1'(2'(4'(4'(0'(3'(3'(0'(3'(3'(3'(2'(4'(2'(2'(0'(0'(0'(0'(3'(3'(x11060))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11060))))))))))))))))))))))))))))))))))))), x11060 >= 0
   2'(z) -{ 2 }-> 1'(3'(1'(3'(3'(2'(0'(2'(2'(3'(0'(1'(2'(2'(2'(4'(1'(2'(1'(2'(4'(3'(0'(2'(0'(3'(1'(2'(1'(1'(2'(2'(3'(0'(2'(4'(3'(1'(3'(x11059))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11059))))))))))))))))))))))))))))))))))))), x11059 >= 0
   2'(z) -{ 2 }-> 1'(3'(1'(3'(3'(2'(0'(2'(2'(3'(0'(1'(2'(2'(2'(4'(1'(2'(1'(2'(3'(4'(2'(0'(0'(0'(0'(3'(1'(2'(2'(4'(1'(2'(3'(1'(0'(4'(4'(x11066))))))))))))))))))))))))))))))))))))))) :|: x11066 >= 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 + x11066)))))))))))))))))))))))))))))))))))))
   2'(z) -{ 2 }-> 1'(3'(1'(3'(3'(2'(0'(2'(2'(3'(0'(1'(2'(2'(2'(4'(1'(2'(1'(2'(3'(0'(2'(0'(2'(2'(2'(3'(4'(1'(0'(2'(3'(1'(2'(1'(2'(4'(2'(x11069))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11069))))))))))))))))))))))))))))))))))))), x11069 >= 0
   2'(z) -{ 2 }-> 1'(3'(1'(3'(3'(2'(0'(2'(2'(3'(0'(1'(2'(2'(2'(4'(1'(2'(1'(2'(2'(1'(0'(1'(4'(3'(2'(3'(0'(0'(0'(4'(3'(2'(1'(1'(2'(0'(2'(x11068))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11068))))))))))))))))))))))))))))))))))))), x11068 >= 0
   2'(z) -{ 2 }-> 1'(3'(1'(3'(3'(2'(0'(2'(2'(3'(0'(1'(2'(2'(2'(4'(1'(2'(1'(2'(0'(2'(0'(2'(0'(2'(0'(4'(2'(4'(2'(3'(2'(3'(1'(2'(2'(2'(1'(x11070))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11070))))))))))))))))))))))))))))))))))))), x11070 >= 0
   2'(z) -{ 2 }-> 1'(3'(1'(3'(3'(2'(0'(2'(2'(3'(0'(1'(2'(2'(2'(4'(1'(2'(1'(1'(2'(2'(2'(0'(0'(2'(2'(3'(0'(4'(4'(2'(1'(4'(2'(2'(2'(4'(1'(x11062))))))))))))))))))))))))))))))))))))))) :|: x11062 >= 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 + x11062)))))))))))))))))))))))))))))))))))))
   2'(z) -{ 2 }-> 1'(3'(1'(3'(3'(2'(0'(2'(2'(3'(0'(1'(2'(2'(2'(4'(1'(2'(1'(1'(0'(2'(2'(4'(0'(3'(1'(0'(0'(3'(0'(2'(1'(1'(2'(2'(3'(1'(0'(x11063))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11063))))))))))))))))))))))))))))))))))))), x11063 >= 0
   2'(z) -{ 2 }-> 1'(3'(1'(3'(3'(2'(0'(2'(2'(3'(0'(1'(2'(2'(2'(4'(1'(2'(1'(0'(4'(2'(4'(3'(3'(2'(1'(4'(2'(4'(4'(3'(2'(2'(3'(1'(2'(2'(0'(x11058))))))))))))))))))))))))))))))))))))))) :|: x11058 >= 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 + x11058)))))))))))))))))))))))))))))))))))))
   2'(z) -{ 2 }-> 1'(3'(1'(3'(3'(2'(0'(2'(2'(3'(0'(1'(2'(2'(2'(4'(1'(2'(1'(0'(4'(0'(3'(0'(3'(0'(3'(2'(0'(1'(0'(0'(2'(1'(3'(2'(1'(2'(0'(x11067))))))))))))))))))))))))))))))))))))))) :|: x11067 >= 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 + x11067)))))))))))))))))))))))))))))))))))))
   2'(z) -{ 1 }-> 1'(3'(1'(3'(3'(2'(0'(2'(2'(3'(0'(1'(2'(2'(2'(4'(1'(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))))))))))))))))))
   2'(z) -{ 1 }-> 1'(3'(1'(3'(3'(2'(0'(2'(2'(3'(0'(1'(2'(2'(2'(4'(1'(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))))))))))))))))))
   2'(z) -{ 1 }-> 0'(4'(4'(2'(4'(0'(2'(3'(2'(0'(2'(1'(2'(4'(4'(3'(2'(3'(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 }-> 0'(4'(2'(4'(0'(3'(2'(1'(2'(4'(2'(2'(3'(1'(0'(1'(2'(3'(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))))))))))))))))))
   2'(z) -{ 1 }-> 0'(3'(2'(3'(2'(3'(0'(2'(2'(0'(2'(3'(1'(3'(3'(3'(1'(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))))))))))))))))))
   2'(z) -{ 1 }-> 0'(3'(0'(2'(2'(0'(2'(1'(3'(2'(3'(3'(0'(2'(0'(4'(3'(3'(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))))))))))))))))))
   2'(z) -{ 1 }-> 0'(3'(0'(1'(2'(2'(2'(0'(0'(3'(3'(2'(1'(1'(0'(4'(2'(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))))))))))))))))))
   2'(z) -{ 1 }-> 0'(2'(4'(2'(2'(2'(0'(2'(4'(3'(3'(2'(3'(3'(4'(1'(0'(3'(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))))))))))))))))))
   2'(z) -{ 0 }-> 0 :|: v0 >= 0, z = v0
   2'(z) -{ 0 }-> 1 + x0 :|: z = x0, x0 >= 0
   3'(z) -{ 1 }-> 4'(2'(2'(3'(0'(0'(3'(1'(1'(1'(4'(4'(3'(0'(3'(2'(1'(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))))))))))))))))))
   3'(z) -{ 1 }-> 4'(2'(1'(4'(1'(3'(2'(2'(4'(4'(2'(3'(3'(3'(3'(2'(4'(3'(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 }-> 4'(2'(1'(2'(3'(3'(3'(3'(0'(2'(0'(3'(0'(2'(3'(1'(2'(1'(1'(4'(4'(1'(4'(4'(3'(2'(1'(1'(0'(2'(2'(1'(2'(1'(0'(3'(4'(2'(2'(x1323))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1323))))))))))))))))))))))))))))))))))))), x1323 >= 0
   3'(z) -{ 2 }-> 4'(2'(1'(2'(3'(3'(3'(3'(0'(2'(0'(3'(0'(2'(3'(1'(2'(1'(1'(4'(3'(3'(0'(2'(3'(4'(2'(4'(1'(2'(1'(4'(3'(4'(3'(3'(2'(2'(3'(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'(2'(1'(2'(3'(3'(3'(3'(0'(2'(0'(3'(0'(2'(3'(1'(2'(1'(1'(4'(1'(2'(2'(2'(2'(4'(4'(2'(0'(3'(2'(1'(0'(4'(4'(1'(4'(2'(0'(x1326))))))))))))))))))))))))))))))))))))))) :|: x1326 >= 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 + x1326)))))))))))))))))))))))))))))))))))))
   3'(z) -{ 2 }-> 4'(2'(1'(2'(3'(3'(3'(3'(0'(2'(0'(3'(0'(2'(3'(1'(2'(1'(1'(4'(1'(2'(0'(3'(0'(1'(2'(3'(0'(2'(1'(3'(2'(0'(3'(0'(2'(4'(0'(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'(2'(1'(2'(3'(3'(3'(3'(0'(2'(0'(3'(0'(2'(3'(1'(2'(1'(1'(3'(2'(3'(1'(0'(1'(2'(0'(2'(2'(3'(2'(0'(4'(4'(2'(0'(4'(4'(2'(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'(2'(1'(2'(3'(3'(3'(3'(0'(2'(0'(3'(0'(2'(3'(1'(2'(1'(1'(3'(0'(0'(1'(4'(1'(2'(3'(3'(4'(2'(1'(1'(3'(2'(2'(1'(3'(2'(4'(x1327))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1327))))))))))))))))))))))))))))))))))))), x1327 >= 0
   3'(z) -{ 2 }-> 4'(2'(1'(2'(3'(3'(3'(3'(0'(2'(0'(3'(0'(2'(3'(1'(2'(1'(1'(2'(4'(3'(3'(0'(3'(1'(2'(3'(3'(4'(2'(0'(0'(4'(2'(0'(1'(2'(2'(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) -{ 2 }-> 4'(2'(1'(2'(3'(3'(3'(3'(0'(2'(0'(3'(0'(2'(3'(1'(2'(1'(1'(2'(4'(3'(0'(3'(0'(2'(3'(0'(4'(2'(2'(2'(3'(3'(2'(4'(3'(1'(1'(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'(2'(1'(2'(3'(3'(3'(3'(0'(2'(0'(3'(0'(2'(3'(1'(2'(1'(1'(2'(4'(2'(1'(2'(2'(3'(0'(2'(0'(1'(2'(2'(0'(1'(2'(0'(0'(4'(2'(x1322))))))))))))))))))))))))))))))))))))))) :|: x1322 >= 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 + x1322)))))))))))))))))))))))))))))))))))))
   3'(z) -{ 2 }-> 4'(2'(1'(2'(3'(3'(3'(3'(0'(2'(0'(3'(0'(2'(3'(1'(2'(1'(1'(2'(2'(4'(3'(4'(2'(3'(4'(1'(2'(1'(0'(0'(2'(0'(4'(1'(4'(2'(2'(x1324))))))))))))))))))))))))))))))))))))))) :|: x1324 >= 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 + x1324)))))))))))))))))))))))))))))))))))))
   3'(z) -{ 2 }-> 4'(2'(1'(2'(3'(3'(3'(3'(0'(2'(0'(3'(0'(2'(3'(1'(2'(1'(1'(2'(1'(3'(0'(0'(1'(4'(3'(1'(3'(2'(2'(2'(1'(3'(0'(2'(0'(0'(2'(x1325))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1325))))))))))))))))))))))))))))))))))))), x1325 >= 0
   3'(z) -{ 2 }-> 4'(2'(1'(2'(3'(3'(3'(3'(0'(2'(0'(3'(0'(2'(3'(1'(2'(1'(1'(2'(1'(2'(2'(3'(3'(2'(0'(4'(4'(3'(3'(1'(0'(0'(3'(4'(2'(2'(4'(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'(2'(1'(2'(3'(3'(3'(3'(0'(2'(0'(3'(0'(2'(3'(1'(2'(1'(1'(1'(3'(3'(2'(4'(2'(1'(2'(1'(2'(0'(2'(0'(3'(2'(2'(4'(0'(3'(3'(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'(2'(1'(2'(3'(3'(3'(3'(0'(2'(0'(3'(0'(2'(3'(1'(2'(1'(1'(1'(1'(2'(3'(3'(4'(4'(4'(2'(3'(2'(2'(1'(2'(0'(1'(2'(0'(4'(4'(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'(2'(1'(2'(3'(3'(3'(3'(0'(2'(0'(3'(0'(2'(3'(1'(2'(1'(1'(1'(1'(1'(3'(0'(3'(0'(2'(3'(2'(2'(4'(1'(2'(3'(4'(1'(2'(2'(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'(2'(1'(2'(3'(3'(3'(3'(0'(2'(0'(3'(0'(2'(3'(1'(2'(1'(1'(0'(4'(0'(0'(2'(3'(0'(4'(1'(2'(3'(0'(3'(0'(1'(4'(2'(2'(3'(3'(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'(2'(1'(2'(3'(3'(3'(3'(0'(2'(0'(3'(0'(2'(3'(1'(2'(1'(1'(0'(0'(0'(1'(2'(2'(2'(0'(4'(1'(4'(1'(2'(4'(3'(3'(1'(0'(3'(3'(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) -{ 1 }-> 4'(2'(1'(2'(3'(3'(3'(3'(0'(2'(0'(3'(0'(2'(3'(1'(2'(1'(1'(0))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   3'(z) -{ 1 }-> 4'(2'(1'(2'(3'(3'(3'(3'(0'(2'(0'(3'(0'(2'(3'(1'(2'(1'(1'(1 + x1))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   3'(z) -{ 1 }-> 4'(2'(0'(4'(1'(1'(2'(0'(2'(4'(0'(3'(4'(4'(3'(2'(0'(3'(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'(2'(0'(1'(2'(0'(2'(0'(0'(2'(1'(4'(0'(3'(2'(2'(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 }-> 4'(1'(2'(3'(2'(0'(3'(3'(0'(3'(2'(3'(1'(1'(2'(0'(1'(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))))))))))))))))))
   3'(z) -{ 1 }-> 3'(1'(4'(1'(2'(1'(0'(3'(2'(0'(0'(1'(0'(2'(4'(0'(2'(2'(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 }-> 3'(0'(0'(1'(3'(2'(2'(2'(3'(3'(2'(0'(1'(2'(3'(3'(4'(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'(4'(2'(3'(2'(3'(4'(0'(4'(2'(4'(3'(1'(0'(1'(2'(0'(3'(2'(4'(4'(1'(4'(4'(3'(2'(1'(1'(0'(2'(2'(1'(2'(1'(0'(3'(4'(2'(2'(x1864))))))))))))))))))))))))))))))))))))))) :|: x1864 >= 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 + x1864)))))))))))))))))))))))))))))))))))))
   3'(z) -{ 2 }-> 2'(4'(2'(3'(2'(3'(4'(0'(4'(2'(4'(3'(1'(0'(1'(2'(0'(3'(2'(4'(3'(3'(0'(2'(3'(4'(2'(4'(1'(2'(1'(4'(3'(4'(3'(3'(2'(2'(3'(x1872))))))))))))))))))))))))))))))))))))))) :|: x1872 >= 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 + x1872)))))))))))))))))))))))))))))))))))))
   3'(z) -{ 2 }-> 2'(4'(2'(3'(2'(3'(4'(0'(4'(2'(4'(3'(1'(0'(1'(2'(0'(3'(2'(4'(1'(2'(2'(2'(2'(4'(4'(2'(0'(3'(2'(1'(0'(4'(4'(1'(4'(2'(0'(x1867))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1867))))))))))))))))))))))))))))))))))))), x1867 >= 0
   3'(z) -{ 2 }-> 2'(4'(2'(3'(2'(3'(4'(0'(4'(2'(4'(3'(1'(0'(1'(2'(0'(3'(2'(4'(1'(2'(0'(3'(0'(1'(2'(3'(0'(2'(1'(3'(2'(0'(3'(0'(2'(4'(0'(x1871))))))))))))))))))))))))))))))))))))))) :|: x1871 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1871)))))))))))))))))))))))))))))))))))))
   3'(z) -{ 2 }-> 2'(4'(2'(3'(2'(3'(4'(0'(4'(2'(4'(3'(1'(0'(1'(2'(0'(3'(2'(3'(2'(3'(1'(0'(1'(2'(0'(2'(2'(3'(2'(0'(4'(4'(2'(0'(4'(4'(2'(x1876))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1876))))))))))))))))))))))))))))))))))))), x1876 >= 0
   3'(z) -{ 2 }-> 2'(4'(2'(3'(2'(3'(4'(0'(4'(2'(4'(3'(1'(0'(1'(2'(0'(3'(2'(3'(0'(0'(1'(4'(1'(2'(3'(3'(4'(2'(1'(1'(3'(2'(2'(1'(3'(2'(4'(x1868))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1868))))))))))))))))))))))))))))))))))))), x1868 >= 0
   3'(z) -{ 2 }-> 2'(4'(2'(3'(2'(3'(4'(0'(4'(2'(4'(3'(1'(0'(1'(2'(0'(3'(2'(2'(4'(3'(3'(0'(3'(1'(2'(3'(3'(4'(2'(0'(0'(4'(2'(0'(1'(2'(2'(x1875))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1875))))))))))))))))))))))))))))))))))))), x1875 >= 0
   3'(z) -{ 2 }-> 2'(4'(2'(3'(2'(3'(4'(0'(4'(2'(4'(3'(1'(0'(1'(2'(0'(3'(2'(2'(4'(3'(0'(3'(0'(2'(3'(0'(4'(2'(2'(2'(3'(3'(2'(4'(3'(1'(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
   3'(z) -{ 2 }-> 2'(4'(2'(3'(2'(3'(4'(0'(4'(2'(4'(3'(1'(0'(1'(2'(0'(3'(2'(2'(4'(2'(1'(2'(2'(3'(0'(2'(0'(1'(2'(2'(0'(1'(2'(0'(0'(4'(2'(x1863))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1863))))))))))))))))))))))))))))))))))))), x1863 >= 0
   3'(z) -{ 2 }-> 2'(4'(2'(3'(2'(3'(4'(0'(4'(2'(4'(3'(1'(0'(1'(2'(0'(3'(2'(2'(2'(4'(3'(4'(2'(3'(4'(1'(2'(1'(0'(0'(2'(0'(4'(1'(4'(2'(2'(x1865))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1865))))))))))))))))))))))))))))))))))))), x1865 >= 0
   3'(z) -{ 2 }-> 2'(4'(2'(3'(2'(3'(4'(0'(4'(2'(4'(3'(1'(0'(1'(2'(0'(3'(2'(2'(1'(3'(0'(0'(1'(4'(3'(1'(3'(2'(2'(2'(1'(3'(0'(2'(0'(0'(2'(x1866))))))))))))))))))))))))))))))))))))))) :|: x1866 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1866)))))))))))))))))))))))))))))))))))))
   3'(z) -{ 2 }-> 2'(4'(2'(3'(2'(3'(4'(0'(4'(2'(4'(3'(1'(0'(1'(2'(0'(3'(2'(2'(1'(2'(2'(3'(3'(2'(0'(4'(4'(3'(3'(1'(0'(0'(3'(4'(2'(2'(4'(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
   3'(z) -{ 2 }-> 2'(4'(2'(3'(2'(3'(4'(0'(4'(2'(4'(3'(1'(0'(1'(2'(0'(3'(2'(1'(3'(3'(2'(4'(2'(1'(2'(1'(2'(0'(2'(0'(3'(2'(2'(4'(0'(3'(3'(x1877))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1877))))))))))))))))))))))))))))))))))))), x1877 >= 0
   3'(z) -{ 2 }-> 2'(4'(2'(3'(2'(3'(4'(0'(4'(2'(4'(3'(1'(0'(1'(2'(0'(3'(2'(1'(1'(2'(3'(3'(4'(4'(4'(2'(3'(2'(2'(1'(2'(0'(1'(2'(0'(4'(4'(x1870))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1870))))))))))))))))))))))))))))))))))))), x1870 >= 0
   3'(z) -{ 2 }-> 2'(4'(2'(3'(2'(3'(4'(0'(4'(2'(4'(3'(1'(0'(1'(2'(0'(3'(2'(1'(1'(1'(3'(0'(3'(0'(2'(3'(2'(2'(4'(1'(2'(3'(4'(1'(2'(2'(4'(x1874))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1874))))))))))))))))))))))))))))))))))))), x1874 >= 0
   3'(z) -{ 2 }-> 2'(4'(2'(3'(2'(3'(4'(0'(4'(2'(4'(3'(1'(0'(1'(2'(0'(3'(2'(0'(4'(0'(0'(2'(3'(0'(4'(1'(2'(3'(0'(3'(0'(1'(4'(2'(2'(3'(3'(x1873))))))))))))))))))))))))))))))))))))))) :|: x1873 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1873)))))))))))))))))))))))))))))))))))))
   3'(z) -{ 2 }-> 2'(4'(2'(3'(2'(3'(4'(0'(4'(2'(4'(3'(1'(0'(1'(2'(0'(3'(2'(0'(0'(0'(1'(2'(2'(2'(0'(4'(1'(4'(1'(2'(4'(3'(3'(1'(0'(3'(3'(x1869))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1869))))))))))))))))))))))))))))))))))))), x1869 >= 0
   3'(z) -{ 1 }-> 2'(4'(2'(3'(2'(3'(4'(0'(4'(2'(4'(3'(1'(0'(1'(2'(0'(3'(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'(4'(2'(3'(2'(3'(4'(0'(4'(2'(4'(3'(1'(0'(1'(2'(0'(3'(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'(3'(3'(2'(4'(3'(4'(2'(3'(3'(1'(0'(1'(2'(4'(3'(0'(3'(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 }-> 2'(3'(2'(3'(0'(2'(1'(2'(2'(4'(3'(3'(3'(2'(1'(0'(1'(3'(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))))))))))))))))))
   3'(z) -{ 1 }-> 2'(3'(2'(2'(4'(3'(4'(2'(3'(1'(2'(2'(4'(2'(3'(0'(4'(3'(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))))))))))))))))))
   3'(z) -{ 1 }-> 2'(1'(3'(3'(3'(2'(2'(4'(0'(4'(0'(4'(2'(0'(2'(1'(3'(3'(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))))))))))))))))))
   3'(z) -{ 1 }-> 2'(1'(2'(4'(2'(4'(1'(4'(2'(1'(4'(0'(0'(1'(2'(3'(3'(2'(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 }-> 2'(0'(4'(3'(3'(2'(2'(2'(4'(0'(4'(3'(2'(2'(2'(0'(3'(0'(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 }-> 1'(3'(1'(2'(0'(4'(0'(3'(2'(4'(3'(0'(2'(1'(2'(2'(1'(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 }-> 1'(0'(4'(3'(1'(4'(2'(3'(3'(4'(3'(0'(0'(2'(2'(3'(4'(0'(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 }-> 1'(0'(0'(2'(1'(4'(4'(0'(2'(3'(0'(2'(4'(4'(2'(3'(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 }-> 0'(4'(0'(3'(4'(2'(0'(3'(1'(3'(3'(1'(1'(0'(3'(2'(2'(3'(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))))))))))))))))))
   3'(z) -{ 1 }-> 0'(2'(2'(3'(0'(2'(0'(3'(1'(3'(1'(2'(2'(2'(3'(2'(2'(0'(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'(0'(2'(3'(0'(2'(1'(2'(2'(2'(3'(2'(1'(3'(4'(3'(4'(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))))))))))))))))))
   3'(z) -{ 0 }-> 0 :|: v0 >= 0, z = v0
   3'(z) -{ 0 }-> 1 + x0 :|: z = x0, x0 >= 0
   4'(z) -{ 1 }-> 4'(3'(2'(3'(2'(2'(0'(0'(1'(3'(4'(2'(2'(2'(4'(4'(1'(2'(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))))))))))))))))))
   4'(z) -{ 1 }-> 4'(2'(3'(0'(2'(2'(0'(2'(2'(4'(3'(1'(1'(4'(4'(2'(4'(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))))))))))))))))))
   4'(z) -{ 1 }-> 4'(1'(2'(2'(4'(4'(2'(1'(4'(3'(2'(0'(0'(0'(2'(4'(1'(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'(4'(2'(3'(3'(2'(2'(1'(3'(4'(2'(3'(1'(4'(4'(3'(1'(1'(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))))))))))))))))))
   4'(z) -{ 1 }-> 3'(4'(1'(3'(3'(2'(1'(2'(1'(1'(0'(2'(2'(0'(0'(1'(1'(2'(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))))))))))))))))))
   4'(z) -{ 1 }-> 2'(3'(3'(1'(0'(2'(2'(3'(1'(4'(0'(0'(1'(2'(2'(0'(4'(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) -{ 2 }-> 2'(2'(4'(4'(3'(3'(2'(1'(4'(4'(3'(2'(3'(4'(1'(2'(1'(1'(3'(4'(4'(1'(4'(4'(3'(2'(1'(1'(0'(2'(2'(1'(2'(1'(0'(3'(4'(2'(2'(x1202))))))))))))))))))))))))))))))))))))))) :|: x1202 >= 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 + x1202)))))))))))))))))))))))))))))))))))))
   4'(z) -{ 2 }-> 2'(2'(4'(4'(3'(3'(2'(1'(4'(4'(3'(2'(3'(4'(1'(2'(1'(1'(3'(4'(3'(3'(0'(2'(3'(4'(2'(4'(1'(2'(1'(4'(3'(4'(3'(3'(2'(2'(3'(x1210))))))))))))))))))))))))))))))))))))))) :|: x1210 >= 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 + x1210)))))))))))))))))))))))))))))))))))))
   4'(z) -{ 2 }-> 2'(2'(4'(4'(3'(3'(2'(1'(4'(4'(3'(2'(3'(4'(1'(2'(1'(1'(3'(4'(1'(2'(2'(2'(2'(4'(4'(2'(0'(3'(2'(1'(0'(4'(4'(1'(4'(2'(0'(x1205))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1205))))))))))))))))))))))))))))))))))))), x1205 >= 0
   4'(z) -{ 2 }-> 2'(2'(4'(4'(3'(3'(2'(1'(4'(4'(3'(2'(3'(4'(1'(2'(1'(1'(3'(4'(1'(2'(0'(3'(0'(1'(2'(3'(0'(2'(1'(3'(2'(0'(3'(0'(2'(4'(0'(x1209))))))))))))))))))))))))))))))))))))))) :|: x1209 >= 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 + x1209)))))))))))))))))))))))))))))))))))))
   4'(z) -{ 2 }-> 2'(2'(4'(4'(3'(3'(2'(1'(4'(4'(3'(2'(3'(4'(1'(2'(1'(1'(3'(3'(2'(3'(1'(0'(1'(2'(0'(2'(2'(3'(2'(0'(4'(4'(2'(0'(4'(4'(2'(x1214))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1214))))))))))))))))))))))))))))))))))))), x1214 >= 0
   4'(z) -{ 2 }-> 2'(2'(4'(4'(3'(3'(2'(1'(4'(4'(3'(2'(3'(4'(1'(2'(1'(1'(3'(3'(0'(0'(1'(4'(1'(2'(3'(3'(4'(2'(1'(1'(3'(2'(2'(1'(3'(2'(4'(x1206))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1206))))))))))))))))))))))))))))))))))))), x1206 >= 0
   4'(z) -{ 2 }-> 2'(2'(4'(4'(3'(3'(2'(1'(4'(4'(3'(2'(3'(4'(1'(2'(1'(1'(3'(2'(4'(3'(3'(0'(3'(1'(2'(3'(3'(4'(2'(0'(0'(4'(2'(0'(1'(2'(2'(x1213))))))))))))))))))))))))))))))))))))))) :|: x1213 >= 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 + x1213)))))))))))))))))))))))))))))))))))))
   4'(z) -{ 2 }-> 2'(2'(4'(4'(3'(3'(2'(1'(4'(4'(3'(2'(3'(4'(1'(2'(1'(1'(3'(2'(4'(3'(0'(3'(0'(2'(3'(0'(4'(2'(2'(2'(3'(3'(2'(4'(3'(1'(1'(x1216))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1216))))))))))))))))))))))))))))))))))))), x1216 >= 0
   4'(z) -{ 2 }-> 2'(2'(4'(4'(3'(3'(2'(1'(4'(4'(3'(2'(3'(4'(1'(2'(1'(1'(3'(2'(4'(2'(1'(2'(2'(3'(0'(2'(0'(1'(2'(2'(0'(1'(2'(0'(0'(4'(2'(x1201))))))))))))))))))))))))))))))))))))))) :|: x1201 >= 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 + x1201)))))))))))))))))))))))))))))))))))))
   4'(z) -{ 2 }-> 2'(2'(4'(4'(3'(3'(2'(1'(4'(4'(3'(2'(3'(4'(1'(2'(1'(1'(3'(2'(2'(4'(3'(4'(2'(3'(4'(1'(2'(1'(0'(0'(2'(0'(4'(1'(4'(2'(2'(x1203))))))))))))))))))))))))))))))))))))))) :|: x1203 >= 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 + x1203)))))))))))))))))))))))))))))))))))))
   4'(z) -{ 2 }-> 2'(2'(4'(4'(3'(3'(2'(1'(4'(4'(3'(2'(3'(4'(1'(2'(1'(1'(3'(2'(1'(3'(0'(0'(1'(4'(3'(1'(3'(2'(2'(2'(1'(3'(0'(2'(0'(0'(2'(x1204))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1204))))))))))))))))))))))))))))))))))))), x1204 >= 0
   4'(z) -{ 2 }-> 2'(2'(4'(4'(3'(3'(2'(1'(4'(4'(3'(2'(3'(4'(1'(2'(1'(1'(3'(2'(1'(2'(2'(3'(3'(2'(0'(4'(4'(3'(3'(1'(0'(0'(3'(4'(2'(2'(4'(x1217))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1217))))))))))))))))))))))))))))))))))))), x1217 >= 0
   4'(z) -{ 2 }-> 2'(2'(4'(4'(3'(3'(2'(1'(4'(4'(3'(2'(3'(4'(1'(2'(1'(1'(3'(1'(3'(3'(2'(4'(2'(1'(2'(1'(2'(0'(2'(0'(3'(2'(2'(4'(0'(3'(3'(x1215))))))))))))))))))))))))))))))))))))))) :|: x1215 >= 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 + x1215)))))))))))))))))))))))))))))))))))))
   4'(z) -{ 2 }-> 2'(2'(4'(4'(3'(3'(2'(1'(4'(4'(3'(2'(3'(4'(1'(2'(1'(1'(3'(1'(1'(2'(3'(3'(4'(4'(4'(2'(3'(2'(2'(1'(2'(0'(1'(2'(0'(4'(4'(x1208))))))))))))))))))))))))))))))))))))))) :|: x1208 >= 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 + x1208)))))))))))))))))))))))))))))))))))))
   4'(z) -{ 2 }-> 2'(2'(4'(4'(3'(3'(2'(1'(4'(4'(3'(2'(3'(4'(1'(2'(1'(1'(3'(1'(1'(1'(3'(0'(3'(0'(2'(3'(2'(2'(4'(1'(2'(3'(4'(1'(2'(2'(4'(x1212))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1212))))))))))))))))))))))))))))))))))))), x1212 >= 0
   4'(z) -{ 2 }-> 2'(2'(4'(4'(3'(3'(2'(1'(4'(4'(3'(2'(3'(4'(1'(2'(1'(1'(3'(0'(4'(0'(0'(2'(3'(0'(4'(1'(2'(3'(0'(3'(0'(1'(4'(2'(2'(3'(3'(x1211))))))))))))))))))))))))))))))))))))))) :|: x1211 >= 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 + x1211)))))))))))))))))))))))))))))))))))))
   4'(z) -{ 2 }-> 2'(2'(4'(4'(3'(3'(2'(1'(4'(4'(3'(2'(3'(4'(1'(2'(1'(1'(3'(0'(0'(0'(1'(2'(2'(2'(0'(4'(1'(4'(1'(2'(4'(3'(3'(1'(0'(3'(3'(x1207))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1207))))))))))))))))))))))))))))))))))))), x1207 >= 0
   4'(z) -{ 1 }-> 2'(2'(4'(4'(3'(3'(2'(1'(4'(4'(3'(2'(3'(4'(1'(2'(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))))))))))))))))))
   4'(z) -{ 1 }-> 2'(2'(4'(4'(3'(3'(2'(1'(4'(4'(3'(2'(3'(4'(1'(2'(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))))))))))))))))))
   4'(z) -{ 1 }-> 2'(2'(4'(2'(2'(3'(0'(2'(4'(2'(3'(1'(3'(2'(2'(3'(4'(1'(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))))))))))))))))))
   4'(z) -{ 2 }-> 2'(2'(2'(2'(4'(0'(3'(0'(4'(1'(2'(2'(1'(3'(3'(2'(0'(3'(1'(4'(4'(1'(4'(4'(3'(2'(1'(1'(0'(2'(2'(1'(2'(1'(0'(3'(4'(2'(2'(x11703))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11703))))))))))))))))))))))))))))))))))))), x11703 >= 0
   4'(z) -{ 2 }-> 2'(2'(2'(2'(4'(0'(3'(0'(4'(1'(2'(2'(1'(3'(3'(2'(0'(3'(1'(4'(3'(3'(0'(2'(3'(4'(2'(4'(1'(2'(1'(4'(3'(4'(3'(3'(2'(2'(3'(x11711))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11711))))))))))))))))))))))))))))))))))))), x11711 >= 0
   4'(z) -{ 2 }-> 2'(2'(2'(2'(4'(0'(3'(0'(4'(1'(2'(2'(1'(3'(3'(2'(0'(3'(1'(4'(1'(2'(2'(2'(2'(4'(4'(2'(0'(3'(2'(1'(0'(4'(4'(1'(4'(2'(0'(x11706))))))))))))))))))))))))))))))))))))))) :|: x11706 >= 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 + x11706)))))))))))))))))))))))))))))))))))))
   4'(z) -{ 2 }-> 2'(2'(2'(2'(4'(0'(3'(0'(4'(1'(2'(2'(1'(3'(3'(2'(0'(3'(1'(4'(1'(2'(0'(3'(0'(1'(2'(3'(0'(2'(1'(3'(2'(0'(3'(0'(2'(4'(0'(x11710))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11710))))))))))))))))))))))))))))))))))))), x11710 >= 0
   4'(z) -{ 2 }-> 2'(2'(2'(2'(4'(0'(3'(0'(4'(1'(2'(2'(1'(3'(3'(2'(0'(3'(1'(3'(2'(3'(1'(0'(1'(2'(0'(2'(2'(3'(2'(0'(4'(4'(2'(0'(4'(4'(2'(x11715))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11715))))))))))))))))))))))))))))))))))))), x11715 >= 0
   4'(z) -{ 2 }-> 2'(2'(2'(2'(4'(0'(3'(0'(4'(1'(2'(2'(1'(3'(3'(2'(0'(3'(1'(3'(0'(0'(1'(4'(1'(2'(3'(3'(4'(2'(1'(1'(3'(2'(2'(1'(3'(2'(4'(x11707))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11707))))))))))))))))))))))))))))))))))))), x11707 >= 0
   4'(z) -{ 2 }-> 2'(2'(2'(2'(4'(0'(3'(0'(4'(1'(2'(2'(1'(3'(3'(2'(0'(3'(1'(2'(4'(3'(3'(0'(3'(1'(2'(3'(3'(4'(2'(0'(0'(4'(2'(0'(1'(2'(2'(x11714))))))))))))))))))))))))))))))))))))))) :|: x11714 >= 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 + x11714)))))))))))))))))))))))))))))))))))))
   4'(z) -{ 2 }-> 2'(2'(2'(2'(4'(0'(3'(0'(4'(1'(2'(2'(1'(3'(3'(2'(0'(3'(1'(2'(4'(3'(0'(3'(0'(2'(3'(0'(4'(2'(2'(2'(3'(3'(2'(4'(3'(1'(1'(x11717))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11717))))))))))))))))))))))))))))))))))))), x11717 >= 0
   4'(z) -{ 2 }-> 2'(2'(2'(2'(4'(0'(3'(0'(4'(1'(2'(2'(1'(3'(3'(2'(0'(3'(1'(2'(4'(2'(1'(2'(2'(3'(0'(2'(0'(1'(2'(2'(0'(1'(2'(0'(0'(4'(2'(x11702))))))))))))))))))))))))))))))))))))))) :|: x11702 >= 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 + x11702)))))))))))))))))))))))))))))))))))))
   4'(z) -{ 2 }-> 2'(2'(2'(2'(4'(0'(3'(0'(4'(1'(2'(2'(1'(3'(3'(2'(0'(3'(1'(2'(2'(4'(3'(4'(2'(3'(4'(1'(2'(1'(0'(0'(2'(0'(4'(1'(4'(2'(2'(x11704))))))))))))))))))))))))))))))))))))))) :|: x11704 >= 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 + x11704)))))))))))))))))))))))))))))))))))))
   4'(z) -{ 2 }-> 2'(2'(2'(2'(4'(0'(3'(0'(4'(1'(2'(2'(1'(3'(3'(2'(0'(3'(1'(2'(1'(3'(0'(0'(1'(4'(3'(1'(3'(2'(2'(2'(1'(3'(0'(2'(0'(0'(2'(x11705))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11705))))))))))))))))))))))))))))))))))))), x11705 >= 0
   4'(z) -{ 2 }-> 2'(2'(2'(2'(4'(0'(3'(0'(4'(1'(2'(2'(1'(3'(3'(2'(0'(3'(1'(2'(1'(2'(2'(3'(3'(2'(0'(4'(4'(3'(3'(1'(0'(0'(3'(4'(2'(2'(4'(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
   4'(z) -{ 2 }-> 2'(2'(2'(2'(4'(0'(3'(0'(4'(1'(2'(2'(1'(3'(3'(2'(0'(3'(1'(1'(3'(3'(2'(4'(2'(1'(2'(1'(2'(0'(2'(0'(3'(2'(2'(4'(0'(3'(3'(x11716))))))))))))))))))))))))))))))))))))))) :|: x11716 >= 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 + x11716)))))))))))))))))))))))))))))))))))))
   4'(z) -{ 2 }-> 2'(2'(2'(2'(4'(0'(3'(0'(4'(1'(2'(2'(1'(3'(3'(2'(0'(3'(1'(1'(1'(2'(3'(3'(4'(4'(4'(2'(3'(2'(2'(1'(2'(0'(1'(2'(0'(4'(4'(x11709))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11709))))))))))))))))))))))))))))))))))))), x11709 >= 0
   4'(z) -{ 2 }-> 2'(2'(2'(2'(4'(0'(3'(0'(4'(1'(2'(2'(1'(3'(3'(2'(0'(3'(1'(1'(1'(1'(3'(0'(3'(0'(2'(3'(2'(2'(4'(1'(2'(3'(4'(1'(2'(2'(4'(x11713))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11713))))))))))))))))))))))))))))))))))))), x11713 >= 0
   4'(z) -{ 2 }-> 2'(2'(2'(2'(4'(0'(3'(0'(4'(1'(2'(2'(1'(3'(3'(2'(0'(3'(1'(0'(4'(0'(0'(2'(3'(0'(4'(1'(2'(3'(0'(3'(0'(1'(4'(2'(2'(3'(3'(x11712))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11712))))))))))))))))))))))))))))))))))))), x11712 >= 0
   4'(z) -{ 2 }-> 2'(2'(2'(2'(4'(0'(3'(0'(4'(1'(2'(2'(1'(3'(3'(2'(0'(3'(1'(0'(0'(0'(1'(2'(2'(2'(0'(4'(1'(4'(1'(2'(4'(3'(3'(1'(0'(3'(3'(x11708))))))))))))))))))))))))))))))))))))))) :|: x11708 >= 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 + x11708)))))))))))))))))))))))))))))))))))))
   4'(z) -{ 1 }-> 2'(2'(2'(2'(4'(0'(3'(0'(4'(1'(2'(2'(1'(3'(3'(2'(0'(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))))))))))))))))))
   4'(z) -{ 1 }-> 2'(2'(2'(2'(4'(0'(3'(0'(4'(1'(2'(2'(1'(3'(3'(2'(0'(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))))))))))))))))))
   4'(z) -{ 1 }-> 2'(1'(3'(3'(4'(4'(1'(0'(3'(2'(2'(3'(0'(0'(4'(3'(3'(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 }-> 2'(1'(3'(2'(2'(2'(4'(0'(3'(2'(2'(2'(2'(2'(0'(3'(0'(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 }-> 2'(1'(2'(2'(0'(2'(4'(3'(1'(0'(4'(1'(4'(0'(3'(4'(1'(3'(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))))))))))))))))))
   4'(z) -{ 2 }-> 1'(4'(0'(3'(3'(2'(2'(2'(0'(2'(3'(1'(2'(3'(3'(0'(3'(1'(0'(3'(4'(2'(1'(1'(0'(1'(2'(1'(4'(4'(2'(3'(3'(4'(2'(1'(2'(3'(2'(x11338))))))))))))))))))))))))))))))))))))))) :|: x11338 >= 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 + x11338)))))))))))))))))))))))))))))))))))))
   4'(z) -{ 2 }-> 1'(4'(0'(3'(3'(2'(2'(2'(0'(2'(3'(1'(2'(3'(3'(0'(3'(1'(0'(3'(3'(4'(3'(1'(2'(2'(4'(4'(0'(2'(2'(2'(2'(0'(0'(2'(0'(1'(4'(x11341))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11341))))))))))))))))))))))))))))))))))))), x11341 >= 0
   4'(z) -{ 2 }-> 1'(4'(0'(3'(3'(2'(2'(2'(0'(2'(3'(1'(2'(3'(3'(0'(3'(1'(0'(3'(2'(1'(4'(2'(2'(3'(4'(2'(3'(1'(4'(2'(3'(0'(3'(3'(4'(0'(3'(x11342))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11342))))))))))))))))))))))))))))))))))))), x11342 >= 0
   4'(z) -{ 2 }-> 1'(4'(0'(3'(3'(2'(2'(2'(0'(2'(3'(1'(2'(3'(3'(0'(3'(1'(0'(3'(1'(4'(3'(1'(0'(3'(4'(0'(3'(2'(2'(4'(0'(2'(3'(3'(2'(2'(0'(x11348))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11348))))))))))))))))))))))))))))))))))))), x11348 >= 0
   4'(z) -{ 2 }-> 1'(4'(0'(3'(3'(2'(2'(2'(0'(2'(3'(1'(2'(3'(3'(0'(3'(1'(0'(2'(4'(4'(0'(3'(3'(0'(3'(3'(3'(2'(4'(2'(2'(0'(0'(0'(0'(3'(3'(x11337))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11337))))))))))))))))))))))))))))))))))))), x11337 >= 0
   4'(z) -{ 2 }-> 1'(4'(0'(3'(3'(2'(2'(2'(0'(2'(3'(1'(2'(3'(3'(0'(3'(1'(0'(2'(4'(3'(0'(2'(0'(3'(1'(2'(1'(1'(2'(2'(3'(0'(2'(4'(3'(1'(3'(x11336))))))))))))))))))))))))))))))))))))))) :|: x11336 >= 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 + x11336)))))))))))))))))))))))))))))))))))))
   4'(z) -{ 2 }-> 1'(4'(0'(3'(3'(2'(2'(2'(0'(2'(3'(1'(2'(3'(3'(0'(3'(1'(0'(2'(3'(4'(2'(0'(0'(0'(0'(3'(1'(2'(2'(4'(1'(2'(3'(1'(0'(4'(4'(x11343))))))))))))))))))))))))))))))))))))))) :|: x11343 >= 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 + x11343)))))))))))))))))))))))))))))))))))))
   4'(z) -{ 2 }-> 1'(4'(0'(3'(3'(2'(2'(2'(0'(2'(3'(1'(2'(3'(3'(0'(3'(1'(0'(2'(3'(0'(2'(0'(2'(2'(2'(3'(4'(1'(0'(2'(3'(1'(2'(1'(2'(4'(2'(x11346))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11346))))))))))))))))))))))))))))))))))))), x11346 >= 0
   4'(z) -{ 2 }-> 1'(4'(0'(3'(3'(2'(2'(2'(0'(2'(3'(1'(2'(3'(3'(0'(3'(1'(0'(2'(2'(1'(0'(1'(4'(3'(2'(3'(0'(0'(0'(4'(3'(2'(1'(1'(2'(0'(2'(x11345))))))))))))))))))))))))))))))))))))))) :|: x11345 >= 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 + x11345)))))))))))))))))))))))))))))))))))))
   4'(z) -{ 2 }-> 1'(4'(0'(3'(3'(2'(2'(2'(0'(2'(3'(1'(2'(3'(3'(0'(3'(1'(0'(2'(0'(2'(0'(2'(0'(2'(0'(4'(2'(4'(2'(3'(2'(3'(1'(2'(2'(2'(1'(x11347))))))))))))))))))))))))))))))))))))))) :|: x11347 >= 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 + x11347)))))))))))))))))))))))))))))))))))))
   4'(z) -{ 2 }-> 1'(4'(0'(3'(3'(2'(2'(2'(0'(2'(3'(1'(2'(3'(3'(0'(3'(1'(0'(1'(2'(2'(2'(0'(0'(2'(2'(3'(0'(4'(4'(2'(1'(4'(2'(2'(2'(4'(1'(x11339))))))))))))))))))))))))))))))))))))))) :|: x11339 >= 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 + x11339)))))))))))))))))))))))))))))))))))))
   4'(z) -{ 2 }-> 1'(4'(0'(3'(3'(2'(2'(2'(0'(2'(3'(1'(2'(3'(3'(0'(3'(1'(0'(1'(0'(2'(2'(4'(0'(3'(1'(0'(0'(3'(0'(2'(1'(1'(2'(2'(3'(1'(0'(x11340))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11340))))))))))))))))))))))))))))))))))))), x11340 >= 0
   4'(z) -{ 2 }-> 1'(4'(0'(3'(3'(2'(2'(2'(0'(2'(3'(1'(2'(3'(3'(0'(3'(1'(0'(0'(4'(2'(4'(3'(3'(2'(1'(4'(2'(4'(4'(3'(2'(2'(3'(1'(2'(2'(0'(x11335))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11335))))))))))))))))))))))))))))))))))))), x11335 >= 0
   4'(z) -{ 2 }-> 1'(4'(0'(3'(3'(2'(2'(2'(0'(2'(3'(1'(2'(3'(3'(0'(3'(1'(0'(0'(4'(0'(3'(0'(3'(0'(3'(2'(0'(1'(0'(0'(2'(1'(3'(2'(1'(2'(0'(x11344))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11344))))))))))))))))))))))))))))))))))))), x11344 >= 0
   4'(z) -{ 1 }-> 1'(4'(0'(3'(3'(2'(2'(2'(0'(2'(3'(1'(2'(3'(3'(0'(3'(1'(0'(0))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   4'(z) -{ 1 }-> 1'(4'(0'(3'(3'(2'(2'(2'(0'(2'(3'(1'(2'(3'(3'(0'(3'(1'(0'(1 + x1))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   4'(z) -{ 2 }-> 1'(3'(0'(2'(3'(2'(0'(0'(0'(3'(3'(2'(4'(4'(3'(3'(2'(4'(3'(4'(4'(1'(4'(4'(3'(2'(1'(1'(0'(2'(2'(1'(2'(1'(0'(3'(4'(2'(2'(x11350))))))))))))))))))))))))))))))))))))))) :|: x11350 >= 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 + x11350)))))))))))))))))))))))))))))))))))))
   4'(z) -{ 2 }-> 1'(3'(0'(2'(3'(2'(0'(0'(0'(3'(3'(2'(4'(4'(3'(3'(2'(4'(3'(4'(3'(3'(0'(2'(3'(4'(2'(4'(1'(2'(1'(4'(3'(4'(3'(3'(2'(2'(3'(x11358))))))))))))))))))))))))))))))))))))))) :|: x11358 >= 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 + x11358)))))))))))))))))))))))))))))))))))))
   4'(z) -{ 2 }-> 1'(3'(0'(2'(3'(2'(0'(0'(0'(3'(3'(2'(4'(4'(3'(3'(2'(4'(3'(4'(1'(2'(2'(2'(2'(4'(4'(2'(0'(3'(2'(1'(0'(4'(4'(1'(4'(2'(0'(x11353))))))))))))))))))))))))))))))))))))))) :|: x11353 >= 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 + x11353)))))))))))))))))))))))))))))))))))))
   4'(z) -{ 2 }-> 1'(3'(0'(2'(3'(2'(0'(0'(0'(3'(3'(2'(4'(4'(3'(3'(2'(4'(3'(4'(1'(2'(0'(3'(0'(1'(2'(3'(0'(2'(1'(3'(2'(0'(3'(0'(2'(4'(0'(x11357))))))))))))))))))))))))))))))))))))))) :|: x11357 >= 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 + x11357)))))))))))))))))))))))))))))))))))))
   4'(z) -{ 2 }-> 1'(3'(0'(2'(3'(2'(0'(0'(0'(3'(3'(2'(4'(4'(3'(3'(2'(4'(3'(3'(2'(3'(1'(0'(1'(2'(0'(2'(2'(3'(2'(0'(4'(4'(2'(0'(4'(4'(2'(x11362))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11362))))))))))))))))))))))))))))))))))))), x11362 >= 0
   4'(z) -{ 2 }-> 1'(3'(0'(2'(3'(2'(0'(0'(0'(3'(3'(2'(4'(4'(3'(3'(2'(4'(3'(3'(0'(0'(1'(4'(1'(2'(3'(3'(4'(2'(1'(1'(3'(2'(2'(1'(3'(2'(4'(x11354))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11354))))))))))))))))))))))))))))))))))))), x11354 >= 0
   4'(z) -{ 2 }-> 1'(3'(0'(2'(3'(2'(0'(0'(0'(3'(3'(2'(4'(4'(3'(3'(2'(4'(3'(2'(4'(3'(3'(0'(3'(1'(2'(3'(3'(4'(2'(0'(0'(4'(2'(0'(1'(2'(2'(x11361))))))))))))))))))))))))))))))))))))))) :|: x11361 >= 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 + x11361)))))))))))))))))))))))))))))))))))))
   4'(z) -{ 2 }-> 1'(3'(0'(2'(3'(2'(0'(0'(0'(3'(3'(2'(4'(4'(3'(3'(2'(4'(3'(2'(4'(3'(0'(3'(0'(2'(3'(0'(4'(2'(2'(2'(3'(3'(2'(4'(3'(1'(1'(x11364))))))))))))))))))))))))))))))))))))))) :|: x11364 >= 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 + x11364)))))))))))))))))))))))))))))))))))))
   4'(z) -{ 2 }-> 1'(3'(0'(2'(3'(2'(0'(0'(0'(3'(3'(2'(4'(4'(3'(3'(2'(4'(3'(2'(4'(2'(1'(2'(2'(3'(0'(2'(0'(1'(2'(2'(0'(1'(2'(0'(0'(4'(2'(x11349))))))))))))))))))))))))))))))))))))))) :|: x11349 >= 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 + x11349)))))))))))))))))))))))))))))))))))))
   4'(z) -{ 2 }-> 1'(3'(0'(2'(3'(2'(0'(0'(0'(3'(3'(2'(4'(4'(3'(3'(2'(4'(3'(2'(2'(4'(3'(4'(2'(3'(4'(1'(2'(1'(0'(0'(2'(0'(4'(1'(4'(2'(2'(x11351))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11351))))))))))))))))))))))))))))))))))))), x11351 >= 0
   4'(z) -{ 2 }-> 1'(3'(0'(2'(3'(2'(0'(0'(0'(3'(3'(2'(4'(4'(3'(3'(2'(4'(3'(2'(1'(3'(0'(0'(1'(4'(3'(1'(3'(2'(2'(2'(1'(3'(0'(2'(0'(0'(2'(x11352))))))))))))))))))))))))))))))))))))))) :|: x11352 >= 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 + x11352)))))))))))))))))))))))))))))))))))))
   4'(z) -{ 2 }-> 1'(3'(0'(2'(3'(2'(0'(0'(0'(3'(3'(2'(4'(4'(3'(3'(2'(4'(3'(2'(1'(2'(2'(3'(3'(2'(0'(4'(4'(3'(3'(1'(0'(0'(3'(4'(2'(2'(4'(x11365))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11365))))))))))))))))))))))))))))))))))))), x11365 >= 0
   4'(z) -{ 2 }-> 1'(3'(0'(2'(3'(2'(0'(0'(0'(3'(3'(2'(4'(4'(3'(3'(2'(4'(3'(1'(3'(3'(2'(4'(2'(1'(2'(1'(2'(0'(2'(0'(3'(2'(2'(4'(0'(3'(3'(x11363))))))))))))))))))))))))))))))))))))))) :|: x11363 >= 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 + x11363)))))))))))))))))))))))))))))))))))))
   4'(z) -{ 2 }-> 1'(3'(0'(2'(3'(2'(0'(0'(0'(3'(3'(2'(4'(4'(3'(3'(2'(4'(3'(1'(1'(2'(3'(3'(4'(4'(4'(2'(3'(2'(2'(1'(2'(0'(1'(2'(0'(4'(4'(x11356))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11356))))))))))))))))))))))))))))))))))))), x11356 >= 0
   4'(z) -{ 2 }-> 1'(3'(0'(2'(3'(2'(0'(0'(0'(3'(3'(2'(4'(4'(3'(3'(2'(4'(3'(1'(1'(1'(3'(0'(3'(0'(2'(3'(2'(2'(4'(1'(2'(3'(4'(1'(2'(2'(4'(x11360))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11360))))))))))))))))))))))))))))))))))))), x11360 >= 0
   4'(z) -{ 2 }-> 1'(3'(0'(2'(3'(2'(0'(0'(0'(3'(3'(2'(4'(4'(3'(3'(2'(4'(3'(0'(4'(0'(0'(2'(3'(0'(4'(1'(2'(3'(0'(3'(0'(1'(4'(2'(2'(3'(3'(x11359))))))))))))))))))))))))))))))))))))))) :|: x11359 >= 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 + x11359)))))))))))))))))))))))))))))))))))))
   4'(z) -{ 2 }-> 1'(3'(0'(2'(3'(2'(0'(0'(0'(3'(3'(2'(4'(4'(3'(3'(2'(4'(3'(0'(0'(0'(1'(2'(2'(2'(0'(4'(1'(4'(1'(2'(4'(3'(3'(1'(0'(3'(3'(x11355))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11355))))))))))))))))))))))))))))))))))))), x11355 >= 0
   4'(z) -{ 1 }-> 1'(3'(0'(2'(3'(2'(0'(0'(0'(3'(3'(2'(4'(4'(3'(3'(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))))))))))))))))))
   4'(z) -{ 1 }-> 1'(3'(0'(2'(3'(2'(0'(0'(0'(3'(3'(2'(4'(4'(3'(3'(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))))))))))))))))))
   4'(z) -{ 1 }-> 1'(1'(2'(2'(0'(0'(4'(4'(2'(3'(3'(3'(2'(2'(2'(0'(3'(0'(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))))))))))))))))))
   4'(z) -{ 1 }-> 1'(1'(1'(0'(2'(3'(0'(3'(3'(2'(4'(3'(3'(2'(0'(2'(1'(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))))))))))))))))))
   4'(z) -{ 1 }-> 1'(1'(0'(4'(0'(0'(0'(2'(4'(0'(2'(2'(3'(2'(3'(3'(0'(4'(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))))))))))))))))))
   4'(z) -{ 1 }-> 1'(0'(2'(0'(4'(3'(4'(3'(0'(3'(2'(2'(4'(0'(2'(1'(2'(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))))))))))))))))))
   4'(z) -{ 1 }-> 0'(4'(2'(1'(2'(2'(2'(0'(4'(2'(3'(3'(0'(2'(1'(4'(0'(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))))))))))))))))))
   4'(z) -{ 1 }-> 0'(0'(0'(2'(1'(3'(3'(4'(2'(4'(3'(3'(2'(4'(2'(3'(3'(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))))))))))))))))))
   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'(1'(4'(4'(3'(2'(1'(1'(0'(2'(2'(1'(2'(1'(0'(3'(4'(2'(2'(z - 19)))))))))))))))))))) :|: z - 19 >= 0
   0'(z) -{ 1 }-> 4'(3'(3'(0'(2'(3'(4'(2'(4'(1'(2'(1'(4'(3'(4'(3'(3'(2'(2'(3'(z - 19)))))))))))))))))))) :|: z - 19 >= 0
   0'(z) -{ 2 }-> 4'(1'(2'(2'(2'(2'(4'(4'(2'(0'(3'(2'(1'(0'(4'(4'(1'(4'(2'(4'(4'(1'(4'(4'(3'(2'(1'(1'(0'(2'(2'(1'(2'(1'(0'(3'(4'(2'(2'(z - 38))))))))))))))))))))))))))))))))))))))) :|: z - 38 >= 0
   0'(z) -{ 2 }-> 4'(1'(2'(2'(2'(2'(4'(4'(2'(0'(3'(2'(1'(0'(4'(4'(1'(4'(2'(4'(3'(3'(0'(2'(3'(4'(2'(4'(1'(2'(1'(4'(3'(4'(3'(3'(2'(2'(3'(z - 38))))))))))))))))))))))))))))))))))))))) :|: z - 38 >= 0
   0'(z) -{ 2 }-> 4'(1'(2'(2'(2'(2'(4'(4'(2'(0'(3'(2'(1'(0'(4'(4'(1'(4'(2'(4'(1'(2'(2'(2'(2'(4'(4'(2'(0'(3'(2'(1'(0'(4'(4'(1'(4'(2'(0'(z - 38))))))))))))))))))))))))))))))))))))))) :|: z - 38 >= 0
   0'(z) -{ 2 }-> 4'(1'(2'(2'(2'(2'(4'(4'(2'(0'(3'(2'(1'(0'(4'(4'(1'(4'(2'(4'(1'(2'(0'(3'(0'(1'(2'(3'(0'(2'(1'(3'(2'(0'(3'(0'(2'(4'(0'(z - 38))))))))))))))))))))))))))))))))))))))) :|: z - 38 >= 0
   0'(z) -{ 2 }-> 4'(1'(2'(2'(2'(2'(4'(4'(2'(0'(3'(2'(1'(0'(4'(4'(1'(4'(2'(3'(2'(3'(1'(0'(1'(2'(0'(2'(2'(3'(2'(0'(4'(4'(2'(0'(4'(4'(2'(z - 38))))))))))))))))))))))))))))))))))))))) :|: z - 38 >= 0
   0'(z) -{ 2 }-> 4'(1'(2'(2'(2'(2'(4'(4'(2'(0'(3'(2'(1'(0'(4'(4'(1'(4'(2'(3'(0'(0'(1'(4'(1'(2'(3'(3'(4'(2'(1'(1'(3'(2'(2'(1'(3'(2'(4'(z - 38))))))))))))))))))))))))))))))))))))))) :|: z - 38 >= 0
   0'(z) -{ 2 }-> 4'(1'(2'(2'(2'(2'(4'(4'(2'(0'(3'(2'(1'(0'(4'(4'(1'(4'(2'(2'(4'(3'(3'(0'(3'(1'(2'(3'(3'(4'(2'(0'(0'(4'(2'(0'(1'(2'(2'(z - 38))))))))))))))))))))))))))))))))))))))) :|: z - 38 >= 0
   0'(z) -{ 2 }-> 4'(1'(2'(2'(2'(2'(4'(4'(2'(0'(3'(2'(1'(0'(4'(4'(1'(4'(2'(2'(4'(3'(0'(3'(0'(2'(3'(0'(4'(2'(2'(2'(3'(3'(2'(4'(3'(1'(1'(z - 38))))))))))))))))))))))))))))))))))))))) :|: z - 38 >= 0
   0'(z) -{ 2 }-> 4'(1'(2'(2'(2'(2'(4'(4'(2'(0'(3'(2'(1'(0'(4'(4'(1'(4'(2'(2'(4'(2'(1'(2'(2'(3'(0'(2'(0'(1'(2'(2'(0'(1'(2'(0'(0'(4'(2'(z - 38))))))))))))))))))))))))))))))))))))))) :|: z - 38 >= 0
   0'(z) -{ 2 }-> 4'(1'(2'(2'(2'(2'(4'(4'(2'(0'(3'(2'(1'(0'(4'(4'(1'(4'(2'(2'(2'(4'(3'(4'(2'(3'(4'(1'(2'(1'(0'(0'(2'(0'(4'(1'(4'(2'(2'(z - 38))))))))))))))))))))))))))))))))))))))) :|: z - 38 >= 0
   0'(z) -{ 2 }-> 4'(1'(2'(2'(2'(2'(4'(4'(2'(0'(3'(2'(1'(0'(4'(4'(1'(4'(2'(2'(1'(3'(0'(0'(1'(4'(3'(1'(3'(2'(2'(2'(1'(3'(0'(2'(0'(0'(2'(z - 38))))))))))))))))))))))))))))))))))))))) :|: z - 38 >= 0
   0'(z) -{ 2 }-> 4'(1'(2'(2'(2'(2'(4'(4'(2'(0'(3'(2'(1'(0'(4'(4'(1'(4'(2'(2'(1'(2'(2'(3'(3'(2'(0'(4'(4'(3'(3'(1'(0'(0'(3'(4'(2'(2'(4'(z - 38))))))))))))))))))))))))))))))))))))))) :|: z - 38 >= 0
   0'(z) -{ 2 }-> 4'(1'(2'(2'(2'(2'(4'(4'(2'(0'(3'(2'(1'(0'(4'(4'(1'(4'(2'(1'(3'(3'(2'(4'(2'(1'(2'(1'(2'(0'(2'(0'(3'(2'(2'(4'(0'(3'(3'(z - 38))))))))))))))))))))))))))))))))))))))) :|: z - 38 >= 0
   0'(z) -{ 2 }-> 4'(1'(2'(2'(2'(2'(4'(4'(2'(0'(3'(2'(1'(0'(4'(4'(1'(4'(2'(1'(1'(2'(3'(3'(4'(4'(4'(2'(3'(2'(2'(1'(2'(0'(1'(2'(0'(4'(4'(z - 38))))))))))))))))))))))))))))))))))))))) :|: z - 38 >= 0
   0'(z) -{ 2 }-> 4'(1'(2'(2'(2'(2'(4'(4'(2'(0'(3'(2'(1'(0'(4'(4'(1'(4'(2'(1'(1'(1'(3'(0'(3'(0'(2'(3'(2'(2'(4'(1'(2'(3'(4'(1'(2'(2'(4'(z - 38))))))))))))))))))))))))))))))))))))))) :|: z - 38 >= 0
   0'(z) -{ 2 }-> 4'(1'(2'(2'(2'(2'(4'(4'(2'(0'(3'(2'(1'(0'(4'(4'(1'(4'(2'(0'(4'(0'(0'(2'(3'(0'(4'(1'(2'(3'(0'(3'(0'(1'(4'(2'(2'(3'(3'(z - 38))))))))))))))))))))))))))))))))))))))) :|: z - 38 >= 0
   0'(z) -{ 2 }-> 4'(1'(2'(2'(2'(2'(4'(4'(2'(0'(3'(2'(1'(0'(4'(4'(1'(4'(2'(0'(0'(0'(1'(2'(2'(2'(0'(4'(1'(4'(1'(2'(4'(3'(3'(1'(0'(3'(3'(z - 38))))))))))))))))))))))))))))))))))))))) :|: z - 38 >= 0
   0'(z) -{ 1 }-> 4'(1'(2'(2'(2'(2'(4'(4'(2'(0'(3'(2'(1'(0'(4'(4'(1'(4'(2'(0))))))))))))))))))) :|: z - 19 >= 0
   0'(z) -{ 1 }-> 4'(1'(2'(2'(2'(2'(4'(4'(2'(0'(3'(2'(1'(0'(4'(4'(1'(4'(2'(1 + (z - 19)))))))))))))))))))) :|: z - 19 >= 0
   0'(z) -{ 2 }-> 4'(1'(2'(0'(3'(0'(1'(2'(3'(0'(2'(1'(3'(2'(0'(3'(0'(2'(4'(4'(4'(1'(4'(4'(3'(2'(1'(1'(0'(2'(2'(1'(2'(1'(0'(3'(4'(2'(2'(z - 38))))))))))))))))))))))))))))))))))))))) :|: z - 38 >= 0
   0'(z) -{ 2 }-> 4'(1'(2'(0'(3'(0'(1'(2'(3'(0'(2'(1'(3'(2'(0'(3'(0'(2'(4'(4'(3'(3'(0'(2'(3'(4'(2'(4'(1'(2'(1'(4'(3'(4'(3'(3'(2'(2'(3'(z - 38))))))))))))))))))))))))))))))))))))))) :|: z - 38 >= 0
   0'(z) -{ 2 }-> 4'(1'(2'(0'(3'(0'(1'(2'(3'(0'(2'(1'(3'(2'(0'(3'(0'(2'(4'(4'(1'(2'(2'(2'(2'(4'(4'(2'(0'(3'(2'(1'(0'(4'(4'(1'(4'(2'(0'(z - 38))))))))))))))))))))))))))))))))))))))) :|: z - 38 >= 0
   0'(z) -{ 2 }-> 4'(1'(2'(0'(3'(0'(1'(2'(3'(0'(2'(1'(3'(2'(0'(3'(0'(2'(4'(4'(1'(2'(0'(3'(0'(1'(2'(3'(0'(2'(1'(3'(2'(0'(3'(0'(2'(4'(0'(z - 38))))))))))))))))))))))))))))))))))))))) :|: z - 38 >= 0
   0'(z) -{ 2 }-> 4'(1'(2'(0'(3'(0'(1'(2'(3'(0'(2'(1'(3'(2'(0'(3'(0'(2'(4'(3'(2'(3'(1'(0'(1'(2'(0'(2'(2'(3'(2'(0'(4'(4'(2'(0'(4'(4'(2'(z - 38))))))))))))))))))))))))))))))))))))))) :|: z - 38 >= 0
   0'(z) -{ 2 }-> 4'(1'(2'(0'(3'(0'(1'(2'(3'(0'(2'(1'(3'(2'(0'(3'(0'(2'(4'(3'(0'(0'(1'(4'(1'(2'(3'(3'(4'(2'(1'(1'(3'(2'(2'(1'(3'(2'(4'(z - 38))))))))))))))))))))))))))))))))))))))) :|: z - 38 >= 0
   0'(z) -{ 2 }-> 4'(1'(2'(0'(3'(0'(1'(2'(3'(0'(2'(1'(3'(2'(0'(3'(0'(2'(4'(2'(4'(3'(3'(0'(3'(1'(2'(3'(3'(4'(2'(0'(0'(4'(2'(0'(1'(2'(2'(z - 38))))))))))))))))))))))))))))))))))))))) :|: z - 38 >= 0
   0'(z) -{ 2 }-> 4'(1'(2'(0'(3'(0'(1'(2'(3'(0'(2'(1'(3'(2'(0'(3'(0'(2'(4'(2'(4'(3'(0'(3'(0'(2'(3'(0'(4'(2'(2'(2'(3'(3'(2'(4'(3'(1'(1'(z - 38))))))))))))))))))))))))))))))))))))))) :|: z - 38 >= 0
   0'(z) -{ 2 }-> 4'(1'(2'(0'(3'(0'(1'(2'(3'(0'(2'(1'(3'(2'(0'(3'(0'(2'(4'(2'(4'(2'(1'(2'(2'(3'(0'(2'(0'(1'(2'(2'(0'(1'(2'(0'(0'(4'(2'(z - 38))))))))))))))))))))))))))))))))))))))) :|: z - 38 >= 0
   0'(z) -{ 2 }-> 4'(1'(2'(0'(3'(0'(1'(2'(3'(0'(2'(1'(3'(2'(0'(3'(0'(2'(4'(2'(2'(4'(3'(4'(2'(3'(4'(1'(2'(1'(0'(0'(2'(0'(4'(1'(4'(2'(2'(z - 38))))))))))))))))))))))))))))))))))))))) :|: z - 38 >= 0
   0'(z) -{ 2 }-> 4'(1'(2'(0'(3'(0'(1'(2'(3'(0'(2'(1'(3'(2'(0'(3'(0'(2'(4'(2'(1'(3'(0'(0'(1'(4'(3'(1'(3'(2'(2'(2'(1'(3'(0'(2'(0'(0'(2'(z - 38))))))))))))))))))))))))))))))))))))))) :|: z - 38 >= 0
   0'(z) -{ 2 }-> 4'(1'(2'(0'(3'(0'(1'(2'(3'(0'(2'(1'(3'(2'(0'(3'(0'(2'(4'(2'(1'(2'(2'(3'(3'(2'(0'(4'(4'(3'(3'(1'(0'(0'(3'(4'(2'(2'(4'(z - 38))))))))))))))))))))))))))))))))))))))) :|: z - 38 >= 0
   0'(z) -{ 2 }-> 4'(1'(2'(0'(3'(0'(1'(2'(3'(0'(2'(1'(3'(2'(0'(3'(0'(2'(4'(1'(3'(3'(2'(4'(2'(1'(2'(1'(2'(0'(2'(0'(3'(2'(2'(4'(0'(3'(3'(z - 38))))))))))))))))))))))))))))))))))))))) :|: z - 38 >= 0
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   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:

   2'(c_1(c_3(c_4(c_1(c_0(c_3(c_2(c_0(c_3(c_0(c_1(c_1(c_4(c_0(c_0(c_2(c_4(c_4(c_1(x1)))))))))))))))))))) -> 3'(0'(3'(2'(1'(4'(1'(4'(0'(0'(2'(2'(0'(1'(1'(0'(4'(1'(2'(1'(x1)))))))))))))))))))) [1]
   2'(c_1(c_4(c_4(c_0(c_1(c_2(c_0(c_2(c_3(c_0(c_2(c_1(c_2(c_3(c_0(c_2(c_3(c_1(c_3(x1)))))))))))))))))))) -> 0'(3'(2'(3'(2'(3'(0'(2'(2'(0'(2'(3'(1'(3'(3'(3'(1'(2'(4'(2'(x1)))))))))))))))))))) [1]
   3'(c_0(c_1(c_4(c_2(c_2(c_3(c_4(c_4(c_3(c_0(c_2(c_1(c_4(c_1(c_0(c_1(c_0(c_2(c_3(x1)))))))))))))))))))) -> 4'(2'(0'(4'(1'(1'(2'(0'(2'(4'(0'(3'(4'(4'(3'(2'(0'(3'(3'(2'(x1)))))))))))))))))))) [1]
   0'(c_1(c_4(c_2(c_2(c_0(c_3(c_2(c_0(c_4(c_1(c_3(c_2(c_0(c_0(c_3(c_2(c_3(c_0(c_2(x1)))))))))))))))))))) -> 2'(4'(2'(1'(2'(2'(3'(0'(2'(0'(1'(2'(2'(0'(1'(2'(0'(0'(4'(2'(x1)))))))))))))))))))) [1]
   1'(c_3(c_3(c_4(c_4(c_2(c_3(c_1(c_3(c_3(c_0(c_3(c_4(c_2(c_2(c_4(c_2(c_2(c_4(c_4(x1)))))))))))))))))))) -> 0'(4'(2'(4'(3'(3'(2'(1'(4'(2'(4'(4'(3'(2'(2'(3'(1'(2'(2'(0'(x1)))))))))))))))))))) [1]
   3'(c_1(c_1(c_1(c_2(c_0(c_1(c_3(c_3(c_2(c_1(c_3(c_4(c_1(c_2(c_2(c_3(c_3(c_2(c_3(x1)))))))))))))))))))) -> 2'(3'(2'(2'(4'(3'(4'(2'(3'(1'(2'(2'(4'(2'(3'(0'(4'(3'(0'(3'(x1)))))))))))))))))))) [1]
   1'(c_0(c_0(c_1(c_2(c_3(c_4(c_2(c_0(c_4(c_4(c_2(c_2(c_4(c_1(c_2(c_2(c_2(c_4(c_4(x1)))))))))))))))))))) -> 2'(4'(3'(0'(2'(0'(3'(1'(2'(1'(1'(2'(2'(3'(0'(2'(4'(3'(1'(3'(x1)))))))))))))))))))) [1]
   3'(c_2(c_2(c_3(c_4(c_3(c_2(c_2(c_0(c_4(c_1(c_4(c_3(c_4(c_2(c_1(c_4(c_1(c_0(c_2(x1)))))))))))))))))))) -> 2'(1'(3'(3'(3'(2'(2'(4'(0'(4'(0'(4'(2'(0'(2'(1'(3'(3'(3'(3'(x1)))))))))))))))))))) [1]
   3'(c_3(c_2(c_4(c_3(c_0(c_2(c_1(c_4(c_3(c_3(c_4(c_4(c_1(c_1(c_4(c_3(c_3(c_2(c_2(x1)))))))))))))))))))) -> 4'(1'(2'(3'(2'(0'(3'(3'(0'(3'(2'(3'(1'(1'(2'(0'(1'(0'(2'(2'(x1)))))))))))))))))))) [1]
   4'(c_1(c_4(c_3(c_1(c_0(c_4(c_4(c_1(c_3(c_3(c_2(c_2(c_1(c_2(c_2(c_3(c_2(c_0(c_0(x1)))))))))))))))))))) -> 2'(2'(4'(4'(3'(3'(2'(1'(4'(4'(3'(2'(3'(4'(1'(2'(1'(1'(3'(0'(x1)))))))))))))))))))) [1]
   2'(c_3(c_4(c_4(c_4(c_3(c_0(c_0(c_2(c_3(c_4(c_3(c_0(c_4(c_3(c_0(c_1(c_2(c_4(c_2(x1)))))))))))))))))))) -> 3'(3'(2'(0'(4'(0'(2'(4'(2'(3'(2'(2'(4'(4'(0'(4'(0'(3'(4'(1'(x1)))))))))))))))))))) [1]
   1'(c_0(c_0(c_3(c_1(c_4(c_2(c_1(c_2(c_2(c_2(c_2(c_2(c_3(c_0(c_1(c_4(c_2(c_0(c_4(x1)))))))))))))))))))) -> 2'(4'(4'(0'(3'(3'(0'(3'(3'(3'(2'(4'(2'(2'(0'(0'(0'(0'(3'(3'(x1)))))))))))))))))))) [1]
   2'(c_0(c_3(c_2(c_0(c_3(c_2(c_4(c_1(c_2(c_3(c_1(c_4(c_1(c_3(c_3(c_3(c_0(c_1(c_3(x1)))))))))))))))))))) -> 3'(0'(3'(2'(1'(1'(1'(3'(4'(0'(3'(2'(0'(2'(2'(3'(2'(0'(3'(2'(x1)))))))))))))))))))) [1]
   3'(c_1(c_4(c_3(c_4(c_2(c_1(c_1(c_1(c_4(c_3(c_1(c_3(c_2(c_2(c_4(c_2(c_2(c_1(c_1(x1)))))))))))))))))))) -> 2'(1'(2'(4'(2'(4'(1'(4'(2'(1'(4'(0'(0'(1'(2'(3'(3'(2'(1'(3'(x1)))))))))))))))))))) [1]
   4'(c_1(c_2(c_3(c_2(c_0(c_0(c_1(c_0(c_2(c_3(c_1(c_3(c_2(c_3(c_1(c_0(c_1(c_4(c_2(x1)))))))))))))))))))) -> 1'(1'(1'(0'(2'(3'(0'(3'(3'(2'(4'(3'(3'(2'(0'(2'(1'(2'(3'(3'(x1)))))))))))))))))))) [1]
   3'(c_3(c_0(c_4(c_4(c_1(c_0(c_2(c_3(c_2(c_1(c_2(c_2(c_3(c_3(c_1(c_0(c_2(c_4(c_1(x1)))))))))))))))))))) -> 4'(2'(1'(2'(3'(3'(3'(3'(0'(2'(0'(3'(0'(2'(3'(1'(2'(1'(1'(0'(x1)))))))))))))))))))) [1]
   4'(c_3(c_0(c_3(c_4(c_3(c_3(c_0(c_1(c_3(c_2(c_3(c_3(c_4(c_3(c_0(c_0(c_3(c_4(c_2(x1)))))))))))))))))))) -> 1'(1'(0'(4'(0'(0'(0'(2'(4'(0'(2'(2'(3'(2'(3'(3'(0'(4'(3'(2'(x1)))))))))))))))))))) [1]
   2'(c_4(c_2(c_2(c_1(c_2(c_4(c_2(c_3(c_0(c_1(c_0(c_2(c_1(c_2(c_0(c_0(c_0(c_4(c_0(x1)))))))))))))))))))) -> 2'(3'(0'(2'(0'(3'(0'(2'(1'(0'(4'(2'(2'(1'(3'(1'(3'(0'(4'(3'(x1)))))))))))))))))))) [1]
   3'(c_1(c_1(c_0(c_0(c_2(c_2(c_4(c_2(c_2(c_2(c_2(c_1(c_2(c_2(c_1(c_1(c_1(c_1(c_4(x1)))))))))))))))))))) -> 4'(2'(1'(4'(1'(3'(2'(2'(4'(4'(2'(3'(3'(3'(3'(2'(4'(3'(2'(3'(x1)))))))))))))))))))) [1]
   0'(c_0(c_2(c_1(c_0(c_3(c_1(c_3(c_1(c_3(c_3(c_3(c_2(c_4(c_0(c_0(c_1(c_2(c_0(c_4(x1)))))))))))))))))))) -> 4'(4'(1'(4'(4'(3'(2'(1'(1'(0'(2'(2'(1'(2'(1'(0'(3'(4'(2'(2'(x1)))))))))))))))))))) [1]
   0'(c_3(c_2(c_0(c_4(c_2(c_0(c_1(c_1(c_3(c_2(c_3(c_4(c_4(c_1(c_2(c_4(c_2(c_4(c_2(x1)))))))))))))))))))) -> 2'(2'(4'(3'(4'(2'(3'(4'(1'(2'(1'(0'(0'(2'(0'(4'(1'(4'(2'(2'(x1)))))))))))))))))))) [1]
   3'(c_0(c_0(c_1(c_0(c_2(c_3(c_3(c_2(c_0(c_2(c_1(c_1(c_0(c_4(c_3(c_2(c_0(c_4(c_2(x1)))))))))))))))))))) -> 1'(0'(0'(2'(1'(4'(4'(0'(2'(3'(0'(2'(4'(4'(2'(3'(2'(4'(0'(2'(x1)))))))))))))))))))) [1]
   3'(c_2(c_3(c_2(c_2(c_0(c_0(c_4(c_1(c_0(c_0(c_4(c_0(c_3(c_3(c_2(c_2(c_1(c_0(c_3(x1)))))))))))))))))))) -> 1'(3'(1'(2'(0'(4'(0'(3'(2'(4'(3'(0'(2'(1'(2'(2'(1'(2'(2'(3'(x1)))))))))))))))))))) [1]
   4'(c_3(c_2(c_0(c_0(c_3(c_4(c_2(c_0(c_3(c_0(c_1(c_0(c_1(c_1(c_4(c_0(c_2(c_2(c_4(x1)))))))))))))))))))) -> 4'(1'(2'(2'(4'(4'(2'(1'(4'(3'(2'(0'(0'(0'(2'(4'(1'(2'(0'(3'(x1)))))))))))))))))))) [1]
   2'(c_3(c_1(c_2(c_3(c_3(c_3(c_1(c_1(c_1(c_0(c_1(c_2(c_4(c_0(c_4(c_2(c_1(c_2(c_2(x1)))))))))))))))))))) -> 2'(2'(0'(1'(4'(3'(2'(2'(4'(3'(0'(2'(4'(3'(2'(0'(0'(1'(0'(2'(x1)))))))))))))))))))) [1]
   2'(c_4(c_0(c_3(c_1(c_2(c_1(c_1(c_2(c_0(c_2(c_2(c_0(c_3(c_2(c_1(c_1(c_0(c_1(c_3(x1)))))))))))))))))))) -> 2'(3'(3'(1'(3'(1'(2'(1'(1'(0'(2'(0'(0'(2'(3'(3'(0'(3'(3'(3'(x1)))))))))))))))))))) [1]
   3'(c_4(c_4(c_4(c_3(c_1(c_4(c_3(c_0(c_2(c_2(c_0(c_4(c_4(c_1(c_3(c_3(c_3(c_2(c_2(x1)))))))))))))))))))) -> 4'(2'(2'(3'(0'(0'(3'(1'(1'(1'(4'(4'(3'(0'(3'(2'(1'(0'(2'(2'(x1)))))))))))))))))))) [1]
   0'(c_1(c_4(c_3(c_2(c_3(c_0(c_1(c_2(c_4(c_0(c_3(c_4(c_2(c_0(c_0(c_3(c_2(c_4(c_2(x1)))))))))))))))))))) -> 2'(1'(3'(0'(0'(1'(4'(3'(1'(3'(2'(2'(2'(1'(3'(0'(2'(0'(0'(2'(x1)))))))))))))))))))) [1]
   1'(c_1(c_1(c_1(c_2(c_4(c_4(c_3(c_0(c_2(c_3(c_3(c_1(c_3(c_0(c_1(c_4(c_2(c_2(c_3(x1)))))))))))))))))))) -> 3'(4'(2'(1'(1'(0'(1'(2'(1'(4'(4'(2'(3'(3'(4'(2'(1'(2'(3'(2'(x1)))))))))))))))))))) [1]
   1'(c_0(c_0(c_4(c_0(c_0(c_2(c_3(c_2(c_2(c_3(c_3(c_1(c_3(c_4(c_3(c_2(c_2(c_1(c_1(x1)))))))))))))))))))) -> 1'(2'(2'(2'(0'(0'(2'(2'(3'(0'(4'(4'(2'(1'(4'(2'(2'(2'(4'(1'(x1)))))))))))))))))))) [1]
   2'(c_4(c_3(c_2(c_0(c_2(c_4(c_1(c_2(c_0(c_4(c_1(c_2(c_3(c_1(c_2(c_3(c_4(c_1(c_1(x1)))))))))))))))))))) -> 2'(0'(1'(1'(2'(2'(4'(3'(2'(2'(1'(3'(0'(1'(2'(3'(0'(4'(4'(4'(x1)))))))))))))))))))) [1]
   3'(c_0(c_1(c_0(c_2(c_2(c_3(c_1(c_2(c_1(c_1(c_1(c_0(c_0(c_2(c_2(c_1(c_3(c_1(c_3(x1)))))))))))))))))))) -> 3'(1'(4'(1'(2'(1'(0'(3'(2'(0'(0'(1'(0'(2'(4'(0'(2'(2'(3'(2'(x1)))))))))))))))))))) [1]
   2'(c_0(c_0(c_0(c_2(c_2(c_3(c_1(c_3(c_1(c_0(c_4(c_3(c_3(c_0(c_2(c_4(c_1(c_0(c_3(x1)))))))))))))))))))) -> 4'(0'(3'(4'(3'(4'(0'(0'(2'(2'(2'(1'(2'(2'(2'(1'(1'(2'(0'(4'(x1)))))))))))))))))))) [1]
   0'(c_3(c_3(c_2(c_4(c_1(c_0(c_0(c_1(c_2(c_0(c_4(c_3(c_3(c_4(c_4(c_4(c_3(c_1(c_2(x1)))))))))))))))))))) -> 4'(1'(2'(2'(2'(2'(4'(4'(2'(0'(3'(2'(1'(0'(4'(4'(1'(4'(2'(0'(x1)))))))))))))))))))) [1]
   1'(c_1(c_2(c_0(c_4(c_1(c_3(c_1(c_2(c_2(c_0(c_4(c_0(c_2(c_3(c_4(c_4(c_0(c_2(c_3(x1)))))))))))))))))))) -> 1'(0'(2'(2'(4'(0'(3'(1'(0'(0'(3'(0'(2'(1'(1'(2'(2'(3'(1'(0'(x1)))))))))))))))))))) [1]
   2'(c_4(c_3(c_2(c_2(c_4(c_0(c_3(c_2(c_4(c_3(c_1(c_0(c_4(c_4(c_3(c_3(c_2(c_2(c_1(x1)))))))))))))))))))) -> 3'(4'(3'(0'(2'(2'(2'(4'(3'(2'(0'(3'(0'(3'(2'(0'(3'(0'(4'(2'(x1)))))))))))))))))))) [1]
   4'(c_0(c_3(c_2(c_0(c_3(c_3(c_2(c_3(c_1(c_4(c_3(c_2(c_2(c_3(c_1(c_3(c_1(c_0(c_4(x1)))))))))))))))))))) -> 0'(0'(0'(2'(1'(3'(3'(4'(2'(4'(3'(3'(2'(4'(2'(3'(3'(0'(0'(3'(x1)))))))))))))))))))) [1]
   0'(c_4(c_4(c_2(c_3(c_2(c_1(c_2(c_2(c_1(c_4(c_1(c_1(c_1(c_4(c_2(c_2(c_1(c_2(c_0(x1)))))))))))))))))))) -> 3'(0'(0'(1'(4'(1'(2'(3'(3'(4'(2'(1'(1'(3'(2'(2'(1'(3'(2'(4'(x1)))))))))))))))))))) [1]
   1'(c_3(c_2(c_3(c_1(c_0(c_3(c_3(c_0(c_1(c_2(c_0(c_2(c_2(c_2(c_0(c_1(c_3(c_1(c_0(x1)))))))))))))))))))) -> 3'(3'(4'(3'(1'(2'(2'(4'(4'(0'(2'(2'(2'(2'(0'(0'(2'(0'(1'(4'(x1)))))))))))))))))))) [1]
   3'(c_3(c_1(c_0(c_2(c_4(c_2(c_3(c_1(c_0(c_2(c_4(c_4(c_4(c_0(c_0(c_2(c_1(c_1(c_2(x1)))))))))))))))))))) -> 2'(4'(2'(3'(2'(3'(4'(0'(4'(2'(4'(3'(1'(0'(1'(2'(0'(3'(2'(0'(x1)))))))))))))))))))) [1]
   3'(c_2(c_0(c_3(c_2(c_4(c_4(c_2(c_2(c_2(c_0(c_1(c_2(c_2(c_3(c_4(c_0(c_2(c_4(c_1(x1)))))))))))))))))))) -> 0'(0'(2'(3'(0'(2'(1'(2'(2'(2'(3'(2'(1'(3'(4'(3'(4'(2'(2'(2'(x1)))))))))))))))))))) [1]
   2'(c_3(c_0(c_1(c_3(c_3(c_4(c_2(c_1(c_4(c_4(c_2(c_3(c_1(c_1(c_1(c_2(c_3(c_0(c_2(x1)))))))))))))))))))) -> 2'(2'(3'(0'(4'(4'(0'(0'(1'(3'(3'(0'(4'(3'(4'(2'(2'(4'(3'(2'(x1)))))))))))))))))))) [1]
   0'(c_0(c_0(c_2(c_1(c_1(c_2(c_2(c_1(c_3(c_0(c_0(c_4(c_3(c_4(c_3(c_4(c_1(c_2(c_1(x1)))))))))))))))))))) -> 0'(0'(0'(1'(2'(2'(2'(0'(4'(1'(4'(1'(2'(4'(3'(3'(1'(0'(3'(3'(x1)))))))))))))))))))) [1]
   0'(c_0(c_2(c_3(c_1(c_4(c_2(c_1(c_4(c_2(c_0(c_1(c_4(c_2(c_2(c_1(c_1(c_2(c_4(c_4(x1)))))))))))))))))))) -> 1'(1'(2'(3'(3'(4'(4'(4'(2'(3'(2'(2'(1'(2'(0'(1'(2'(0'(4'(4'(x1)))))))))))))))))))) [1]
   1'(c_1(c_2(c_1(c_3(c_4(c_0(c_2(c_2(c_3(c_3(c_3(c_3(c_0(c_1(c_0(c_4(c_3(c_0(c_2(x1)))))))))))))))))))) -> 3'(2'(1'(4'(2'(2'(3'(4'(2'(3'(1'(4'(2'(3'(0'(3'(3'(4'(0'(3'(x1)))))))))))))))))))) [1]
   2'(c_4(c_0(c_0(c_3(c_2(c_2(c_2(c_1(c_1(c_4(c_0(c_1(c_2(c_2(c_3(c_4(c_2(c_3(c_4(x1)))))))))))))))))))) -> 3'(1'(3'(2'(2'(4'(0'(3'(2'(1'(0'(0'(2'(3'(3'(3'(2'(3'(4'(3'(x1)))))))))))))))))))) [1]
   4'(c_4(c_0(c_3(c_0(c_1(c_3(c_2(c_2(c_2(c_3(c_1(c_0(c_2(c_3(c_3(c_0(c_2(c_4(c_4(x1)))))))))))))))))))) -> 2'(1'(3'(2'(2'(2'(4'(0'(3'(2'(2'(2'(2'(2'(0'(3'(0'(2'(0'(3'(x1)))))))))))))))))))) [1]
   2'(c_0(c_4(c_2(c_2(c_3(c_4(c_0(c_1(c_0(c_3(c_2(c_1(c_3(c_0(c_3(c_1(c_1(c_3(c_0(x1)))))))))))))))))))) -> 0'(3'(0'(1'(2'(2'(2'(0'(0'(3'(3'(2'(1'(1'(0'(4'(2'(1'(2'(4'(x1)))))))))))))))))))) [1]
   2'(c_3(c_4(c_0(c_0(c_4(c_3(c_3(c_2(c_3(c_4(c_0(c_2(c_0(c_4(c_4(c_0(c_2(c_4(c_2(x1)))))))))))))))))))) -> 1'(3'(1'(3'(3'(2'(0'(2'(2'(3'(0'(1'(2'(2'(2'(4'(1'(2'(1'(1'(x1)))))))))))))))))))) [1]
   4'(c_4(c_4(c_4(c_3(c_2(c_0(c_3(c_2(c_4(c_2(c_4(c_1(c_2(c_1(c_4(c_2(c_3(c_0(c_0(x1)))))))))))))))))))) -> 3'(4'(2'(3'(3'(2'(2'(1'(3'(4'(2'(3'(1'(4'(4'(3'(1'(1'(3'(3'(x1)))))))))))))))))))) [1]
   3'(c_3(c_3(c_0(c_2(c_0(c_2(c_2(c_1(c_0(c_0(c_4(c_4(c_2(c_0(c_2(c_3(c_0(c_2(c_4(x1)))))))))))))))))))) -> 2'(3'(3'(2'(4'(3'(4'(2'(3'(3'(1'(0'(1'(2'(4'(3'(0'(3'(3'(2'(x1)))))))))))))))))))) [1]
   4'(c_0(c_2(c_3(c_1(c_1(c_2(c_3(c_1(c_1(c_2(c_0(c_4(c_3(c_0(c_2(c_3(c_2(c_3(c_3(x1)))))))))))))))))))) -> 2'(2'(4'(2'(2'(3'(0'(2'(4'(2'(3'(1'(3'(2'(2'(3'(4'(1'(0'(2'(x1)))))))))))))))))))) [1]
   1'(c_1(c_3(c_3(c_1(c_1(c_3(c_2(c_3(c_2(c_0(c_4(c_2(c_0(c_2(c_1(c_1(c_0(c_4(c_1(x1)))))))))))))))))))) -> 2'(3'(4'(2'(0'(0'(0'(0'(3'(1'(2'(2'(4'(1'(2'(3'(1'(0'(4'(4'(x1)))))))))))))))))))) [1]
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   1'(c_4(c_4(c_2(c_3(c_1(c_2(c_3(c_3(c_1(c_0(c_1(c_3(c_2(c_1(c_2(c_1(c_2(c_2(c_2(x1)))))))))))))))))))) -> 2'(0'(2'(0'(2'(0'(2'(0'(4'(2'(4'(2'(3'(2'(3'(1'(2'(2'(2'(1'(x1)))))))))))))))))))) [1]
   2'(c_1(c_4(c_1(c_3(c_4(c_3(c_2(c_2(c_0(c_1(c_0(c_2(c_1(c_0(c_3(c_4(c_2(c_4(c_2(x1)))))))))))))))))))) -> 4'(2'(2'(2'(3'(3'(4'(1'(4'(0'(2'(3'(2'(1'(0'(3'(2'(3'(3'(4'(x1)))))))))))))))))))) [1]
   0'(c_1(c_2(c_0(c_1(c_4(c_4(c_0(c_3(c_0(c_2(c_3(c_0(c_0(c_3(c_3(c_0(c_2(c_3(c_2(x1)))))))))))))))))))) -> 1'(3'(3'(2'(4'(2'(1'(2'(1'(2'(0'(2'(0'(3'(2'(2'(4'(0'(3'(3'(x1)))))))))))))))))))) [1]
   4'(c_1(c_1(c_1(c_4(c_2(c_4(c_2(c_0(c_2(c_3(c_3(c_1(c_3(c_0(c_2(c_2(c_0(c_0(c_3(x1)))))))))))))))))))) -> 0'(4'(2'(1'(2'(2'(2'(0'(4'(2'(3'(3'(0'(2'(1'(4'(0'(1'(4'(2'(x1)))))))))))))))))))) [1]
   4'(c_0(c_2(c_2(c_4(c_3(c_1(c_3(c_4(c_0(c_0(c_0(c_2(c_2(c_2(c_3(c_0(c_4(c_2(c_4(x1)))))))))))))))))))) -> 2'(1'(3'(3'(4'(4'(1'(0'(3'(2'(2'(3'(0'(0'(4'(3'(3'(4'(2'(2'(x1)))))))))))))))))))) [1]
   3'(c_0(c_2(c_4(c_0(c_4(c_0(c_1(c_2(c_1(c_4(c_3(c_0(c_4(c_3(c_0(c_3(c_3(c_3(c_2(x1)))))))))))))))))))) -> 1'(0'(4'(3'(1'(4'(2'(3'(3'(4'(3'(0'(0'(2'(2'(3'(4'(0'(4'(2'(x1)))))))))))))))))))) [1]
   4'(c_3(c_3(c_3(c_0(c_2(c_1(c_2(c_2(c_3(c_2(c_0(c_1(c_1(c_4(c_1(c_3(c_4(c_2(c_4(x1)))))))))))))))))))) -> 3'(4'(1'(3'(3'(2'(1'(2'(1'(1'(0'(2'(2'(0'(0'(1'(1'(2'(3'(2'(x1)))))))))))))))))))) [1]
   0'(c_2(c_2(c_1(c_2(c_0(c_3(c_1(c_2(c_2(c_4(c_1(c_2(c_0(c_2(c_4(c_0(c_1(c_0(c_3(x1)))))))))))))))))))) -> 2'(4'(3'(0'(3'(0'(2'(3'(0'(4'(2'(2'(2'(3'(3'(2'(4'(3'(1'(1'(x1)))))))))))))))))))) [1]
   2'(c_4(c_2(c_2(c_1(c_1(c_2(c_3(c_0(c_1(c_0(c_0(c_3(c_2(c_1(c_0(c_0(c_1(c_0(c_2(x1)))))))))))))))))))) -> 2'(2'(2'(3'(3'(4'(1'(4'(3'(0'(0'(2'(0'(1'(1'(2'(3'(0'(2'(4'(x1)))))))))))))))))))) [1]
   2'(c_4(c_0(c_0(c_4(c_2(c_1(c_3(c_3(c_3(c_2(c_0(c_4(c_1(c_4(c_0(c_2(c_1(c_3(c_2(x1)))))))))))))))))))) -> 0'(4'(2'(4'(0'(3'(2'(1'(2'(4'(2'(2'(3'(1'(0'(1'(2'(3'(3'(2'(x1)))))))))))))))))))) [1]
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   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:
2' :: c_1:c_4:c_2:c_0: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_4:c_2:c_0: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_1:c_4:c_2:c_0: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_4:c_2:c_0: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_1:c_4:c_2:c_0: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_4:c_2:c_0: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_1:c_4:c_2:c_0: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_4:c_2:c_0: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_1:c_4:c_2:c_0: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_4:c_2:c_0: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_1:c_4:c_2:c_0: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_4:c_2:c_0: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_1:c_4:c_2:c_0: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_4:c_2:c_0: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_1:c_4:c_2:c_0: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_4:c_2:c_0: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'
1' :: c_1:c_4:c_2:c_0: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_4:c_2:c_0: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_1:c_4:c_2:c_0: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_4:c_2:c_0: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_1:c_4:c_2:c_0: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_1:c_4:c_2:c_0: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_1:c_4:c_2:c_0: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_1:c_4:c_2:c_0: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_1:c_4:c_2:c_0: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_1:c_4:c_2:c_0: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_1:c_4:c_2:c_0: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_1:c_4:c_2:c_0: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_1:c_4:c_2:c_0: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_1:c_4:c_2:c_0: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_1:c_4:c_2:c_0: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_1:c_4:c_2:c_0: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_1:c_4:c_2:c_0: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_1:c_4:c_2:c_0: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_1:c_4:c_2:c_0: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_1:c_4:c_2:c_0: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_1:c_4:c_2:c_0: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'(1'(4'(4'(3'(2'(1'(1'(0'(2'(2'(1'(2'(1'(0'(3'(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))))))))))))))))))
   0'(z) -{ 1 }-> 4'(3'(3'(0'(2'(3'(4'(2'(4'(1'(2'(1'(4'(3'(4'(3'(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))))))))))))))))))
   0'(z) -{ 1 }-> 4'(1'(2'(2'(2'(2'(4'(4'(2'(0'(3'(2'(1'(0'(4'(4'(1'(4'(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))))))))))))))))))
   0'(z) -{ 1 }-> 4'(1'(2'(0'(3'(0'(1'(2'(3'(0'(2'(1'(3'(2'(0'(3'(0'(2'(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))))))))))))))))))
   0'(z) -{ 1 }-> 3'(2'(3'(1'(0'(1'(2'(0'(2'(2'(3'(2'(0'(4'(4'(2'(0'(4'(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 }-> 3'(0'(0'(1'(4'(1'(2'(3'(3'(4'(2'(1'(1'(3'(2'(2'(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))))))))))))))))))
   0'(z) -{ 1 }-> 2'(4'(3'(3'(0'(3'(1'(2'(3'(3'(4'(2'(0'(0'(4'(2'(0'(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))))))))))))))))))
   0'(z) -{ 1 }-> 2'(4'(3'(0'(3'(0'(2'(3'(0'(4'(2'(2'(2'(3'(3'(2'(4'(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))))))))))))))))))
   0'(z) -{ 1 }-> 2'(4'(2'(1'(2'(2'(3'(0'(2'(0'(1'(2'(2'(0'(1'(2'(0'(0'(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'(2'(4'(3'(4'(2'(3'(4'(1'(2'(1'(0'(0'(2'(0'(4'(1'(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))))))))))))))))))
   0'(z) -{ 1 }-> 2'(1'(3'(0'(0'(1'(4'(3'(1'(3'(2'(2'(2'(1'(3'(0'(2'(0'(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))))))))))))))))))
   0'(z) -{ 1 }-> 2'(1'(2'(2'(3'(3'(2'(0'(4'(4'(3'(3'(1'(0'(0'(3'(4'(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 }-> 1'(3'(3'(2'(4'(2'(1'(2'(1'(2'(0'(2'(0'(3'(2'(2'(4'(0'(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))))))))))))))))))
   0'(z) -{ 1 }-> 1'(1'(2'(3'(3'(4'(4'(4'(2'(3'(2'(2'(1'(2'(0'(1'(2'(0'(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 }-> 1'(1'(1'(3'(0'(3'(0'(2'(3'(2'(2'(4'(1'(2'(3'(4'(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'(4'(0'(0'(2'(3'(0'(4'(1'(2'(3'(0'(3'(0'(1'(4'(2'(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))))))))))))))))))
   0'(z) -{ 1 }-> 0'(0'(0'(1'(2'(2'(2'(0'(4'(1'(4'(1'(2'(4'(3'(3'(1'(0'(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))))))))))))))))))
   0'(z) -{ 0 }-> 0 :|: v0 >= 0, z = v0
   0'(z) -{ 0 }-> 1 + x0 :|: z = x0, x0 >= 0
   1'(z) -{ 1 }-> 3'(4'(2'(1'(1'(0'(1'(2'(1'(4'(4'(2'(3'(3'(4'(2'(1'(2'(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))))))))))))))))))
   1'(z) -{ 1 }-> 3'(3'(4'(3'(1'(2'(2'(4'(4'(0'(2'(2'(2'(2'(0'(0'(2'(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))))))))))))))))))
   1'(z) -{ 1 }-> 3'(2'(1'(4'(2'(2'(3'(4'(2'(3'(1'(4'(2'(3'(0'(3'(3'(4'(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 }-> 3'(1'(4'(3'(1'(0'(3'(4'(0'(3'(2'(2'(4'(0'(2'(3'(3'(2'(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))))))))))))))))))
   1'(z) -{ 1 }-> 2'(4'(4'(0'(3'(3'(0'(3'(3'(3'(2'(4'(2'(2'(0'(0'(0'(0'(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))))))))))))))))))
   1'(z) -{ 1 }-> 2'(4'(3'(0'(2'(0'(3'(1'(2'(1'(1'(2'(2'(3'(0'(2'(4'(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))))))))))))))))))
   1'(z) -{ 1 }-> 2'(3'(4'(2'(0'(0'(0'(0'(3'(1'(2'(2'(4'(1'(2'(3'(1'(0'(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))))))))))))))))))
   1'(z) -{ 1 }-> 2'(3'(0'(2'(0'(2'(2'(2'(3'(4'(1'(0'(2'(3'(1'(2'(1'(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))))))))))))))))))
   1'(z) -{ 1 }-> 2'(2'(1'(0'(1'(4'(3'(2'(3'(0'(0'(0'(4'(3'(2'(1'(1'(2'(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 }-> 2'(0'(2'(0'(2'(0'(2'(0'(4'(2'(4'(2'(3'(2'(3'(1'(2'(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))))))))))))))))))
   1'(z) -{ 1 }-> 1'(2'(2'(2'(0'(0'(2'(2'(3'(0'(4'(4'(2'(1'(4'(2'(2'(2'(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))))))))))))))))))
   1'(z) -{ 1 }-> 1'(0'(2'(2'(4'(0'(3'(1'(0'(0'(3'(0'(2'(1'(1'(2'(2'(3'(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))))))))))))))))))
   1'(z) -{ 1 }-> 0'(4'(2'(4'(3'(3'(2'(1'(4'(2'(4'(4'(3'(2'(2'(3'(1'(2'(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))))))))))))))))))
   1'(z) -{ 1 }-> 0'(4'(0'(3'(0'(3'(0'(3'(2'(0'(1'(0'(0'(2'(1'(3'(2'(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))))))))))))))))))
   1'(z) -{ 0 }-> 0 :|: v0 >= 0, z = v0
   1'(z) -{ 0 }-> 1 + x0 :|: z = x0, x0 >= 0
   2'(z) -{ 1 }-> 4'(3'(2'(3'(2'(2'(2'(1'(4'(1'(2'(2'(0'(1'(1'(1'(0'(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))))))))))))))))))
   2'(z) -{ 1 }-> 4'(2'(2'(2'(3'(3'(4'(1'(4'(0'(2'(3'(2'(1'(0'(3'(2'(3'(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))))))))))))))))))
   2'(z) -{ 1 }-> 4'(0'(3'(4'(3'(4'(0'(0'(2'(2'(2'(1'(2'(2'(2'(1'(1'(2'(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))))))))))))))))))
   2'(z) -{ 1 }-> 3'(4'(3'(0'(2'(2'(2'(4'(3'(2'(0'(3'(0'(3'(2'(0'(3'(0'(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))))))))))))))))))
   2'(z) -{ 1 }-> 3'(4'(2'(2'(0'(0'(0'(0'(2'(4'(2'(3'(2'(0'(3'(2'(3'(0'(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))))))))))))))))))
   2'(z) -{ 1 }-> 3'(3'(2'(0'(4'(0'(2'(4'(2'(3'(2'(2'(4'(4'(0'(4'(0'(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) -{ 1 }-> 3'(3'(1'(4'(3'(2'(3'(2'(2'(3'(2'(1'(1'(0'(3'(3'(3'(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))))))))))))))))))
   2'(z) -{ 1 }-> 3'(1'(3'(2'(2'(4'(0'(3'(2'(1'(0'(0'(2'(3'(3'(3'(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))))))))))))))))))
   2'(z) -{ 1 }-> 3'(0'(3'(2'(1'(4'(1'(4'(0'(0'(2'(2'(0'(1'(1'(0'(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))))))))))))))))))
   2'(z) -{ 1 }-> 3'(0'(3'(2'(1'(1'(1'(3'(4'(0'(3'(2'(0'(2'(2'(3'(2'(0'(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))))))))))))))))))
   2'(z) -{ 1 }-> 3'(0'(2'(4'(1'(2'(0'(4'(2'(1'(3'(0'(2'(3'(4'(2'(3'(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 }-> 2'(3'(4'(2'(1'(1'(1'(3'(2'(3'(0'(2'(4'(1'(2'(0'(2'(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))))))))))))))))))
   2'(z) -{ 1 }-> 2'(3'(3'(1'(3'(1'(2'(1'(1'(0'(2'(0'(0'(2'(3'(3'(0'(3'(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'(3'(0'(2'(0'(3'(0'(2'(1'(0'(4'(2'(2'(1'(3'(1'(3'(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))))))))))))))))))
   2'(z) -{ 1 }-> 2'(2'(3'(0'(4'(4'(0'(0'(1'(3'(3'(0'(4'(3'(4'(2'(2'(4'(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))))))))))))))))))
   2'(z) -{ 1 }-> 2'(2'(2'(4'(3'(2'(0'(1'(4'(1'(2'(3'(0'(3'(1'(3'(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))))))))))))))))))
   2'(z) -{ 1 }-> 2'(2'(2'(3'(3'(4'(1'(4'(3'(0'(0'(2'(0'(1'(1'(2'(3'(0'(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))))))))))))))))))
   2'(z) -{ 1 }-> 2'(2'(0'(1'(4'(3'(2'(2'(4'(3'(0'(2'(4'(3'(2'(0'(0'(1'(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))))))))))))))))))
   2'(z) -{ 1 }-> 2'(0'(1'(1'(2'(2'(4'(3'(2'(2'(1'(3'(0'(1'(2'(3'(0'(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 }-> 1'(4'(2'(4'(4'(4'(4'(3'(2'(4'(4'(3'(2'(2'(0'(0'(4'(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))))))))))))))))))
   2'(z) -{ 1 }-> 1'(3'(1'(3'(3'(2'(0'(2'(2'(3'(0'(1'(2'(2'(2'(4'(1'(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))))))))))))))))))
   2'(z) -{ 1 }-> 0'(4'(4'(2'(4'(0'(2'(3'(2'(0'(2'(1'(2'(4'(4'(3'(2'(3'(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 }-> 0'(4'(2'(4'(0'(3'(2'(1'(2'(4'(2'(2'(3'(1'(0'(1'(2'(3'(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))))))))))))))))))
   2'(z) -{ 1 }-> 0'(3'(2'(3'(2'(3'(0'(2'(2'(0'(2'(3'(1'(3'(3'(3'(1'(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))))))))))))))))))
   2'(z) -{ 1 }-> 0'(3'(0'(2'(2'(0'(2'(1'(3'(2'(3'(3'(0'(2'(0'(4'(3'(3'(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))))))))))))))))))
   2'(z) -{ 1 }-> 0'(3'(0'(1'(2'(2'(2'(0'(0'(3'(3'(2'(1'(1'(0'(4'(2'(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))))))))))))))))))
   2'(z) -{ 1 }-> 0'(2'(4'(2'(2'(2'(0'(2'(4'(3'(3'(2'(3'(3'(4'(1'(0'(3'(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))))))))))))))))))
   2'(z) -{ 0 }-> 0 :|: v0 >= 0, z = v0
   2'(z) -{ 0 }-> 1 + x0 :|: z = x0, x0 >= 0
   3'(z) -{ 1 }-> 4'(2'(2'(3'(0'(0'(3'(1'(1'(1'(4'(4'(3'(0'(3'(2'(1'(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))))))))))))))))))
   3'(z) -{ 1 }-> 4'(2'(1'(4'(1'(3'(2'(2'(4'(4'(2'(3'(3'(3'(3'(2'(4'(3'(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 }-> 4'(2'(1'(2'(3'(3'(3'(3'(0'(2'(0'(3'(0'(2'(3'(1'(2'(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))))))))))))))))))
   3'(z) -{ 1 }-> 4'(2'(0'(4'(1'(1'(2'(0'(2'(4'(0'(3'(4'(4'(3'(2'(0'(3'(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'(2'(0'(1'(2'(0'(2'(0'(0'(2'(1'(4'(0'(3'(2'(2'(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 }-> 4'(1'(2'(3'(2'(0'(3'(3'(0'(3'(2'(3'(1'(1'(2'(0'(1'(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))))))))))))))))))
   3'(z) -{ 1 }-> 3'(1'(4'(1'(2'(1'(0'(3'(2'(0'(0'(1'(0'(2'(4'(0'(2'(2'(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 }-> 3'(0'(0'(1'(3'(2'(2'(2'(3'(3'(2'(0'(1'(2'(3'(3'(4'(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'(4'(2'(3'(2'(3'(4'(0'(4'(2'(4'(3'(1'(0'(1'(2'(0'(3'(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))))))))))))))))))
   3'(z) -{ 1 }-> 2'(3'(3'(2'(4'(3'(4'(2'(3'(3'(1'(0'(1'(2'(4'(3'(0'(3'(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 }-> 2'(3'(2'(3'(0'(2'(1'(2'(2'(4'(3'(3'(3'(2'(1'(0'(1'(3'(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))))))))))))))))))
   3'(z) -{ 1 }-> 2'(3'(2'(2'(4'(3'(4'(2'(3'(1'(2'(2'(4'(2'(3'(0'(4'(3'(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))))))))))))))))))
   3'(z) -{ 1 }-> 2'(1'(3'(3'(3'(2'(2'(4'(0'(4'(0'(4'(2'(0'(2'(1'(3'(3'(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))))))))))))))))))
   3'(z) -{ 1 }-> 2'(1'(2'(4'(2'(4'(1'(4'(2'(1'(4'(0'(0'(1'(2'(3'(3'(2'(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 }-> 2'(0'(4'(3'(3'(2'(2'(2'(4'(0'(4'(3'(2'(2'(2'(0'(3'(0'(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 }-> 1'(3'(1'(2'(0'(4'(0'(3'(2'(4'(3'(0'(2'(1'(2'(2'(1'(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 }-> 1'(0'(4'(3'(1'(4'(2'(3'(3'(4'(3'(0'(0'(2'(2'(3'(4'(0'(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 }-> 1'(0'(0'(2'(1'(4'(4'(0'(2'(3'(0'(2'(4'(4'(2'(3'(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 }-> 0'(4'(0'(3'(4'(2'(0'(3'(1'(3'(3'(1'(1'(0'(3'(2'(2'(3'(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))))))))))))))))))
   3'(z) -{ 1 }-> 0'(2'(2'(3'(0'(2'(0'(3'(1'(3'(1'(2'(2'(2'(3'(2'(2'(0'(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'(0'(2'(3'(0'(2'(1'(2'(2'(2'(3'(2'(1'(3'(4'(3'(4'(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))))))))))))))))))
   3'(z) -{ 0 }-> 0 :|: v0 >= 0, z = v0
   3'(z) -{ 0 }-> 1 + x0 :|: z = x0, x0 >= 0
   4'(z) -{ 1 }-> 4'(3'(2'(3'(2'(2'(0'(0'(1'(3'(4'(2'(2'(2'(4'(4'(1'(2'(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))))))))))))))))))
   4'(z) -{ 1 }-> 4'(2'(3'(0'(2'(2'(0'(2'(2'(4'(3'(1'(1'(4'(4'(2'(4'(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))))))))))))))))))
   4'(z) -{ 1 }-> 4'(1'(2'(2'(4'(4'(2'(1'(4'(3'(2'(0'(0'(0'(2'(4'(1'(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'(4'(2'(3'(3'(2'(2'(1'(3'(4'(2'(3'(1'(4'(4'(3'(1'(1'(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))))))))))))))))))
   4'(z) -{ 1 }-> 3'(4'(1'(3'(3'(2'(1'(2'(1'(1'(0'(2'(2'(0'(0'(1'(1'(2'(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))))))))))))))))))
   4'(z) -{ 1 }-> 2'(3'(3'(1'(0'(2'(2'(3'(1'(4'(0'(0'(1'(2'(2'(0'(4'(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 }-> 2'(2'(4'(4'(3'(3'(2'(1'(4'(4'(3'(2'(3'(4'(1'(2'(1'(1'(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'(2'(4'(2'(2'(3'(0'(2'(4'(2'(3'(1'(3'(2'(2'(3'(4'(1'(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))))))))))))))))))
   4'(z) -{ 1 }-> 2'(2'(2'(2'(4'(0'(3'(0'(4'(1'(2'(2'(1'(3'(3'(2'(0'(3'(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 }-> 2'(1'(3'(3'(4'(4'(1'(0'(3'(2'(2'(3'(0'(0'(4'(3'(3'(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 }-> 2'(1'(3'(2'(2'(2'(4'(0'(3'(2'(2'(2'(2'(2'(0'(3'(0'(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 }-> 2'(1'(2'(2'(0'(2'(4'(3'(1'(0'(4'(1'(4'(0'(3'(4'(1'(3'(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))))))))))))))))))
   4'(z) -{ 1 }-> 1'(4'(0'(3'(3'(2'(2'(2'(0'(2'(3'(1'(2'(3'(3'(0'(3'(1'(0'(1'(x1)))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   4'(z) -{ 1 }-> 1'(3'(0'(2'(3'(2'(0'(0'(0'(3'(3'(2'(4'(4'(3'(3'(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))))))))))))))))))
   4'(z) -{ 1 }-> 1'(1'(2'(2'(0'(0'(4'(4'(2'(3'(3'(3'(2'(2'(2'(0'(3'(0'(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))))))))))))))))))
   4'(z) -{ 1 }-> 1'(1'(1'(0'(2'(3'(0'(3'(3'(2'(4'(3'(3'(2'(0'(2'(1'(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))))))))))))))))))
   4'(z) -{ 1 }-> 1'(1'(0'(4'(0'(0'(0'(2'(4'(0'(2'(2'(3'(2'(3'(3'(0'(4'(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))))))))))))))))))
   4'(z) -{ 1 }-> 1'(0'(2'(0'(4'(3'(4'(3'(0'(3'(2'(2'(4'(0'(2'(1'(2'(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))))))))))))))))))
   4'(z) -{ 1 }-> 0'(4'(2'(1'(2'(2'(2'(0'(4'(2'(3'(3'(0'(2'(1'(4'(0'(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))))))))))))))))))
   4'(z) -{ 1 }-> 0'(0'(0'(2'(1'(3'(3'(4'(2'(4'(3'(3'(2'(4'(2'(3'(3'(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))))))))))))))))))
   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_1(c_4(c_2(c_2(c_0(c_3(c_2(c_0(c_4(c_1(c_3(c_2(c_0(c_0(c_3(c_2(c_3(c_0(c_2(z0)))))))))))))))))))) -> 2(4(2(1(2(2(3(0(2(0(1(2(2(0(1(2(0(0(4(2(z0))))))))))))))))))))
   0(c_0(c_2(c_1(c_0(c_3(c_1(c_3(c_1(c_3(c_3(c_3(c_2(c_4(c_0(c_0(c_1(c_2(c_0(c_4(z0)))))))))))))))))))) -> 4(4(1(4(4(3(2(1(1(0(2(2(1(2(1(0(3(4(2(2(z0))))))))))))))))))))
   0(c_3(c_2(c_0(c_4(c_2(c_0(c_1(c_1(c_3(c_2(c_3(c_4(c_4(c_1(c_2(c_4(c_2(c_4(c_2(z0)))))))))))))))))))) -> 2(2(4(3(4(2(3(4(1(2(1(0(0(2(0(4(1(4(2(2(z0))))))))))))))))))))
   0(c_1(c_4(c_3(c_2(c_3(c_0(c_1(c_2(c_4(c_0(c_3(c_4(c_2(c_0(c_0(c_3(c_2(c_4(c_2(z0)))))))))))))))))))) -> 2(1(3(0(0(1(4(3(1(3(2(2(2(1(3(0(2(0(0(2(z0))))))))))))))))))))
   0(c_3(c_3(c_2(c_4(c_1(c_0(c_0(c_1(c_2(c_0(c_4(c_3(c_3(c_4(c_4(c_4(c_3(c_1(c_2(z0)))))))))))))))))))) -> 4(1(2(2(2(2(4(4(2(0(3(2(1(0(4(4(1(4(2(0(z0))))))))))))))))))))
   0(c_4(c_4(c_2(c_3(c_2(c_1(c_2(c_2(c_1(c_4(c_1(c_1(c_1(c_4(c_2(c_2(c_1(c_2(c_0(z0)))))))))))))))))))) -> 3(0(0(1(4(1(2(3(3(4(2(1(1(3(2(2(1(3(2(4(z0))))))))))))))))))))
   0(c_0(c_0(c_2(c_1(c_1(c_2(c_2(c_1(c_3(c_0(c_0(c_4(c_3(c_4(c_3(c_4(c_1(c_2(c_1(z0)))))))))))))))))))) -> 0(0(0(1(2(2(2(0(4(1(4(1(2(4(3(3(1(0(3(3(z0))))))))))))))))))))
   0(c_0(c_2(c_3(c_1(c_4(c_2(c_1(c_4(c_2(c_0(c_1(c_4(c_2(c_2(c_1(c_1(c_2(c_4(c_4(z0)))))))))))))))))))) -> 1(1(2(3(3(4(4(4(2(3(2(2(1(2(0(1(2(0(4(4(z0))))))))))))))))))))
   0(c_2(c_3(c_0(c_4(c_2(c_3(c_1(c_3(c_4(c_0(c_3(c_4(c_2(c_1(c_3(c_2(c_3(c_4(c_0(z0)))))))))))))))))))) -> 4(1(2(0(3(0(1(2(3(0(2(1(3(2(0(3(0(2(4(0(z0))))))))))))))))))))
   0(c_2(c_1(c_1(c_2(c_1(c_4(c_1(c_2(c_2(c_4(c_0(c_0(c_3(c_3(c_3(c_2(c_2(c_1(c_0(z0)))))))))))))))))))) -> 4(3(3(0(2(3(4(2(4(1(2(1(4(3(4(3(3(2(2(3(z0))))))))))))))))))))
   0(c_2(c_1(c_3(c_0(c_0(c_4(c_4(c_4(c_0(c_0(c_3(c_2(c_1(c_2(c_4(c_0(c_1(c_2(c_2(z0)))))))))))))))))))) -> 0(4(0(0(2(3(0(4(1(2(3(0(3(0(1(4(2(2(3(3(z0))))))))))))))))))))
   0(c_0(c_0(c_0(c_1(c_2(c_2(c_3(c_3(c_2(c_0(c_0(c_0(c_4(c_2(c_0(c_1(c_2(c_4(c_2(z0)))))))))))))))))))) -> 1(1(1(3(0(3(0(2(3(2(2(4(1(2(3(4(1(2(2(4(z0))))))))))))))))))))
   0(c_4(c_2(c_2(c_0(c_2(c_3(c_3(c_4(c_1(c_3(c_2(c_4(c_0(c_2(c_1(c_1(c_4(c_3(c_2(z0)))))))))))))))))))) -> 2(4(3(3(0(3(1(2(3(3(4(2(0(0(4(2(0(1(2(2(z0))))))))))))))))))))
   0(c_2(c_4(c_2(c_1(c_2(c_3(c_0(c_1(c_2(c_0(c_3(c_0(c_4(c_1(c_0(c_2(c_0(c_2(c_0(z0)))))))))))))))))))) -> 3(2(3(1(0(1(2(0(2(2(3(2(0(4(4(2(0(4(4(2(z0))))))))))))))))))))
   0(c_1(c_2(c_0(c_1(c_4(c_4(c_0(c_3(c_0(c_2(c_3(c_0(c_0(c_3(c_3(c_0(c_2(c_3(c_2(z0)))))))))))))))))))) -> 1(3(3(2(4(2(1(2(1(2(0(2(0(3(2(2(4(0(3(3(z0))))))))))))))))))))
   0(c_2(c_2(c_1(c_2(c_0(c_3(c_1(c_2(c_2(c_4(c_1(c_2(c_0(c_2(c_4(c_0(c_1(c_0(c_3(z0)))))))))))))))))))) -> 2(4(3(0(3(0(2(3(0(4(2(2(2(3(3(2(4(3(1(1(z0))))))))))))))))))))
   0(c_4(c_2(c_0(c_0(c_3(c_2(c_1(c_0(c_1(c_3(c_1(c_2(c_4(c_4(c_0(c_2(c_3(c_2(c_2(z0)))))))))))))))))))) -> 2(1(2(2(3(3(2(0(4(4(3(3(1(0(0(3(4(2(2(4(z0))))))))))))))))))))
   1(z0) -> c_1(z0)
   1(c_3(c_3(c_4(c_4(c_2(c_3(c_1(c_3(c_3(c_0(c_3(c_4(c_2(c_2(c_4(c_2(c_2(c_4(c_4(z0)))))))))))))))))))) -> 0(4(2(4(3(3(2(1(4(2(4(4(3(2(2(3(1(2(2(0(z0))))))))))))))))))))
   1(c_0(c_0(c_1(c_2(c_3(c_4(c_2(c_0(c_4(c_4(c_2(c_2(c_4(c_1(c_2(c_2(c_2(c_4(c_4(z0)))))))))))))))))))) -> 2(4(3(0(2(0(3(1(2(1(1(2(2(3(0(2(4(3(1(3(z0))))))))))))))))))))
   1(c_0(c_0(c_3(c_1(c_4(c_2(c_1(c_2(c_2(c_2(c_2(c_2(c_3(c_0(c_1(c_4(c_2(c_0(c_4(z0)))))))))))))))))))) -> 2(4(4(0(3(3(0(3(3(3(2(4(2(2(0(0(0(0(3(3(z0))))))))))))))))))))
   1(c_1(c_1(c_1(c_2(c_4(c_4(c_3(c_0(c_2(c_3(c_3(c_1(c_3(c_0(c_1(c_4(c_2(c_2(c_3(z0)))))))))))))))))))) -> 3(4(2(1(1(0(1(2(1(4(4(2(3(3(4(2(1(2(3(2(z0))))))))))))))))))))
   1(c_0(c_0(c_4(c_0(c_0(c_2(c_3(c_2(c_2(c_3(c_3(c_1(c_3(c_4(c_3(c_2(c_2(c_1(c_1(z0)))))))))))))))))))) -> 1(2(2(2(0(0(2(2(3(0(4(4(2(1(4(2(2(2(4(1(z0))))))))))))))))))))
   1(c_1(c_2(c_0(c_4(c_1(c_3(c_1(c_2(c_2(c_0(c_4(c_0(c_2(c_3(c_4(c_4(c_0(c_2(c_3(z0)))))))))))))))))))) -> 1(0(2(2(4(0(3(1(0(0(3(0(2(1(1(2(2(3(1(0(z0))))))))))))))))))))
   1(c_3(c_2(c_3(c_1(c_0(c_3(c_3(c_0(c_1(c_2(c_0(c_2(c_2(c_2(c_0(c_1(c_3(c_1(c_0(z0)))))))))))))))))))) -> 3(3(4(3(1(2(2(4(4(0(2(2(2(2(0(0(2(0(1(4(z0))))))))))))))))))))
   1(c_1(c_2(c_1(c_3(c_4(c_0(c_2(c_2(c_3(c_3(c_3(c_3(c_0(c_1(c_0(c_4(c_3(c_0(c_2(z0)))))))))))))))))))) -> 3(2(1(4(2(2(3(4(2(3(1(4(2(3(0(3(3(4(0(3(z0))))))))))))))))))))
   1(c_1(c_3(c_3(c_1(c_1(c_3(c_2(c_3(c_2(c_0(c_4(c_2(c_0(c_2(c_1(c_1(c_0(c_4(c_1(z0)))))))))))))))))))) -> 2(3(4(2(0(0(0(0(3(1(2(2(4(1(2(3(1(0(4(4(z0))))))))))))))))))))
   1(c_3(c_1(c_4(c_0(c_1(c_4(c_3(c_0(c_4(c_2(c_1(c_0(c_0(c_1(c_2(c_3(c_2(c_2(c_3(z0)))))))))))))))))))) -> 0(4(0(3(0(3(0(3(2(0(1(0(0(2(1(3(2(1(2(0(z0))))))))))))))))))))
   1(c_0(c_2(c_1(c_1(c_1(c_2(c_0(c_0(c_2(c_1(c_3(c_3(c_3(c_1(c_4(c_1(c_0(c_0(c_1(z0)))))))))))))))))))) -> 2(2(1(0(1(4(3(2(3(0(0(0(4(3(2(1(1(2(0(2(z0))))))))))))))))))))
   1(c_0(c_4(c_0(c_1(c_3(c_0(c_2(c_3(c_2(c_1(c_2(c_3(c_2(c_4(c_2(c_4(c_3(c_4(c_2(z0)))))))))))))))))))) -> 2(3(0(2(0(2(2(2(3(4(1(0(2(3(1(2(1(2(4(2(z0))))))))))))))))))))
   1(c_4(c_4(c_2(c_3(c_1(c_2(c_3(c_3(c_1(c_0(c_1(c_3(c_2(c_1(c_2(c_1(c_2(c_2(c_2(z0)))))))))))))))))))) -> 2(0(2(0(2(0(2(0(4(2(4(2(3(2(3(1(2(2(2(1(z0))))))))))))))))))))
   1(c_1(c_0(c_0(c_1(c_3(c_2(c_4(c_3(c_1(c_4(c_0(c_4(c_1(c_2(c_2(c_2(c_3(c_3(c_2(z0)))))))))))))))))))) -> 3(1(4(3(1(0(3(4(0(3(2(2(4(0(2(3(3(2(2(0(z0))))))))))))))))))))
   2(z0) -> c_2(z0)
   2(c_1(c_3(c_4(c_1(c_0(c_3(c_2(c_0(c_3(c_0(c_1(c_1(c_4(c_0(c_0(c_2(c_4(c_4(c_1(z0)))))))))))))))))))) -> 3(0(3(2(1(4(1(4(0(0(2(2(0(1(1(0(4(1(2(1(z0))))))))))))))))))))
   2(c_1(c_4(c_4(c_0(c_1(c_2(c_0(c_2(c_3(c_0(c_2(c_1(c_2(c_3(c_0(c_2(c_3(c_1(c_3(z0)))))))))))))))))))) -> 0(3(2(3(2(3(0(2(2(0(2(3(1(3(3(3(1(2(4(2(z0))))))))))))))))))))
   2(c_3(c_4(c_4(c_4(c_3(c_0(c_0(c_2(c_3(c_4(c_3(c_0(c_4(c_3(c_0(c_1(c_2(c_4(c_2(z0)))))))))))))))))))) -> 3(3(2(0(4(0(2(4(2(3(2(2(4(4(0(4(0(3(4(1(z0))))))))))))))))))))
   2(c_0(c_3(c_2(c_0(c_3(c_2(c_4(c_1(c_2(c_3(c_1(c_4(c_1(c_3(c_3(c_3(c_0(c_1(c_3(z0)))))))))))))))))))) -> 3(0(3(2(1(1(1(3(4(0(3(2(0(2(2(3(2(0(3(2(z0))))))))))))))))))))
   2(c_4(c_2(c_2(c_1(c_2(c_4(c_2(c_3(c_0(c_1(c_0(c_2(c_1(c_2(c_0(c_0(c_0(c_4(c_0(z0)))))))))))))))))))) -> 2(3(0(2(0(3(0(2(1(0(4(2(2(1(3(1(3(0(4(3(z0))))))))))))))))))))
   2(c_3(c_1(c_2(c_3(c_3(c_3(c_1(c_1(c_1(c_0(c_1(c_2(c_4(c_0(c_4(c_2(c_1(c_2(c_2(z0)))))))))))))))))))) -> 2(2(0(1(4(3(2(2(4(3(0(2(4(3(2(0(0(1(0(2(z0))))))))))))))))))))
   2(c_4(c_0(c_3(c_1(c_2(c_1(c_1(c_2(c_0(c_2(c_2(c_0(c_3(c_2(c_1(c_1(c_0(c_1(c_3(z0)))))))))))))))))))) -> 2(3(3(1(3(1(2(1(1(0(2(0(0(2(3(3(0(3(3(3(z0))))))))))))))))))))
   2(c_4(c_3(c_2(c_0(c_2(c_4(c_1(c_2(c_0(c_4(c_1(c_2(c_3(c_1(c_2(c_3(c_4(c_1(c_1(z0)))))))))))))))))))) -> 2(0(1(1(2(2(4(3(2(2(1(3(0(1(2(3(0(4(4(4(z0))))))))))))))))))))
   2(c_0(c_0(c_0(c_2(c_2(c_3(c_1(c_3(c_1(c_0(c_4(c_3(c_3(c_0(c_2(c_4(c_1(c_0(c_3(z0)))))))))))))))))))) -> 4(0(3(4(3(4(0(0(2(2(2(1(2(2(2(1(1(2(0(4(z0))))))))))))))))))))
   2(c_4(c_3(c_2(c_2(c_4(c_0(c_3(c_2(c_4(c_3(c_1(c_0(c_4(c_4(c_3(c_3(c_2(c_2(c_1(z0)))))))))))))))))))) -> 3(4(3(0(2(2(2(4(3(2(0(3(0(3(2(0(3(0(4(2(z0))))))))))))))))))))
   2(c_3(c_0(c_1(c_3(c_3(c_4(c_2(c_1(c_4(c_4(c_2(c_3(c_1(c_1(c_1(c_2(c_3(c_0(c_2(z0)))))))))))))))))))) -> 2(2(3(0(4(4(0(0(1(3(3(0(4(3(4(2(2(4(3(2(z0))))))))))))))))))))
   2(c_4(c_0(c_0(c_3(c_2(c_2(c_2(c_1(c_1(c_4(c_0(c_1(c_2(c_2(c_3(c_4(c_2(c_3(c_4(z0)))))))))))))))))))) -> 3(1(3(2(2(4(0(3(2(1(0(0(2(3(3(3(2(3(4(3(z0))))))))))))))))))))
   2(c_0(c_4(c_2(c_2(c_3(c_4(c_0(c_1(c_0(c_3(c_2(c_1(c_3(c_0(c_3(c_1(c_1(c_3(c_0(z0)))))))))))))))))))) -> 0(3(0(1(2(2(2(0(0(3(3(2(1(1(0(4(2(1(2(4(z0))))))))))))))))))))
   2(c_3(c_4(c_0(c_0(c_4(c_3(c_3(c_2(c_3(c_4(c_0(c_2(c_0(c_4(c_4(c_0(c_2(c_4(c_2(z0)))))))))))))))))))) -> 1(3(1(3(3(2(0(2(2(3(0(1(2(2(2(4(1(2(1(1(z0))))))))))))))))))))
   2(c_1(c_3(c_2(c_2(c_0(c_4(c_4(c_0(c_4(c_1(c_2(c_3(c_3(c_0(c_2(c_1(c_4(c_4(c_4(z0)))))))))))))))))))) -> 4(3(2(3(2(2(2(1(4(1(2(2(0(1(1(1(0(0(3(4(z0))))))))))))))))))))
   2(c_0(c_3(c_4(c_1(c_2(c_0(c_2(c_3(c_3(c_1(c_2(c_0(c_1(c_2(c_0(c_4(c_4(c_4(c_2(z0)))))))))))))))))))) -> 2(2(2(4(3(2(0(1(4(1(2(3(0(3(1(3(3(1(2(4(z0))))))))))))))))))))
   2(c_0(c_2(c_1(c_1(c_0(c_1(c_0(c_2(c_2(c_0(c_1(c_2(c_0(c_2(c_4(c_0(c_1(c_2(c_0(z0)))))))))))))))))))) -> 3(0(2(4(1(2(0(4(2(1(3(0(2(3(4(2(3(3(4(0(z0))))))))))))))))))))
   2(c_4(c_4(c_4(c_2(c_2(c_2(c_0(c_4(c_3(c_4(c_3(c_4(c_2(c_3(c_1(c_4(c_3(c_1(c_3(z0)))))))))))))))))))) -> 2(3(4(2(1(1(1(3(2(3(0(2(4(1(2(0(2(1(1(4(z0))))))))))))))))))))
   2(c_3(c_1(c_1(c_3(c_2(c_1(c_1(c_1(c_3(c_2(c_3(c_4(c_2(c_2(c_3(c_4(c_3(c_3(c_0(z0)))))))))))))))))))) -> 0(4(4(2(4(0(2(3(2(0(2(1(2(4(4(3(2(3(2(2(z0))))))))))))))))))))
   2(c_0(c_2(c_4(c_2(c_2(c_2(c_4(c_3(c_0(c_0(c_1(c_0(c_1(c_0(c_3(c_0(c_3(c_2(c_4(z0)))))))))))))))))))) -> 0(3(0(2(2(0(2(1(3(2(3(3(0(2(0(4(3(3(3(2(z0))))))))))))))))))))
   2(c_4(c_1(c_3(c_2(c_2(c_1(c_4(c_2(c_1(c_1(c_1(c_2(c_2(c_2(c_0(c_3(c_0(c_2(c_4(z0)))))))))))))))))))) -> 3(3(1(4(3(2(3(2(2(3(2(1(1(0(3(3(3(4(0(2(z0))))))))))))))))))))
   2(c_0(c_0(c_0(c_3(c_1(c_0(c_2(c_4(c_2(c_2(c_2(c_4(c_0(c_4(c_0(c_1(c_0(c_3(c_4(z0)))))))))))))))))))) -> 1(4(2(4(4(4(4(3(2(4(4(3(2(2(0(0(4(1(2(2(z0))))))))))))))))))))
   2(c_3(c_3(c_3(c_0(c_0(c_1(c_0(c_2(c_4(c_3(c_1(c_1(c_3(c_2(c_1(c_2(c_2(c_2(c_1(z0)))))))))))))))))))) -> 3(4(2(2(0(0(0(0(2(4(2(3(2(0(3(2(3(0(2(3(z0))))))))))))))))))))
   2(c_1(c_4(c_1(c_3(c_4(c_3(c_2(c_2(c_0(c_1(c_0(c_2(c_1(c_0(c_3(c_4(c_2(c_4(c_2(z0)))))))))))))))))))) -> 4(2(2(2(3(3(4(1(4(0(2(3(2(1(0(3(2(3(3(4(z0))))))))))))))))))))
   2(c_4(c_2(c_2(c_1(c_1(c_2(c_3(c_0(c_1(c_0(c_0(c_3(c_2(c_1(c_0(c_0(c_1(c_0(c_2(z0)))))))))))))))))))) -> 2(2(2(3(3(4(1(4(3(0(0(2(0(1(1(2(3(0(2(4(z0))))))))))))))))))))
   2(c_4(c_0(c_0(c_4(c_2(c_1(c_3(c_3(c_3(c_2(c_0(c_4(c_1(c_4(c_0(c_2(c_1(c_3(c_2(z0)))))))))))))))))))) -> 0(4(2(4(0(3(2(1(2(4(2(2(3(1(0(1(2(3(3(2(z0))))))))))))))))))))
   2(c_0(c_4(c_2(c_1(c_3(c_4(c_4(c_2(c_1(c_0(c_3(c_2(c_1(c_3(c_2(c_1(c_4(c_2(c_4(z0)))))))))))))))))))) -> 0(2(4(2(2(2(0(2(4(3(3(2(3(3(4(1(0(3(0(4(z0))))))))))))))))))))
   3(z0) -> c_3(z0)
   3(c_0(c_1(c_4(c_2(c_2(c_3(c_4(c_4(c_3(c_0(c_2(c_1(c_4(c_1(c_0(c_1(c_0(c_2(c_3(z0)))))))))))))))))))) -> 4(2(0(4(1(1(2(0(2(4(0(3(4(4(3(2(0(3(3(2(z0))))))))))))))))))))
   3(c_1(c_1(c_1(c_2(c_0(c_1(c_3(c_3(c_2(c_1(c_3(c_4(c_1(c_2(c_2(c_3(c_3(c_2(c_3(z0)))))))))))))))))))) -> 2(3(2(2(4(3(4(2(3(1(2(2(4(2(3(0(4(3(0(3(z0))))))))))))))))))))
   3(c_2(c_2(c_3(c_4(c_3(c_2(c_2(c_0(c_4(c_1(c_4(c_3(c_4(c_2(c_1(c_4(c_1(c_0(c_2(z0)))))))))))))))))))) -> 2(1(3(3(3(2(2(4(0(4(0(4(2(0(2(1(3(3(3(3(z0))))))))))))))))))))
   3(c_3(c_2(c_4(c_3(c_0(c_2(c_1(c_4(c_3(c_3(c_4(c_4(c_1(c_1(c_4(c_3(c_3(c_2(c_2(z0)))))))))))))))))))) -> 4(1(2(3(2(0(3(3(0(3(2(3(1(1(2(0(1(0(2(2(z0))))))))))))))))))))
   3(c_1(c_4(c_3(c_4(c_2(c_1(c_1(c_1(c_4(c_3(c_1(c_3(c_2(c_2(c_4(c_2(c_2(c_1(c_1(z0)))))))))))))))))))) -> 2(1(2(4(2(4(1(4(2(1(4(0(0(1(2(3(3(2(1(3(z0))))))))))))))))))))
   3(c_3(c_0(c_4(c_4(c_1(c_0(c_2(c_3(c_2(c_1(c_2(c_2(c_3(c_3(c_1(c_0(c_2(c_4(c_1(z0)))))))))))))))))))) -> 4(2(1(2(3(3(3(3(0(2(0(3(0(2(3(1(2(1(1(0(z0))))))))))))))))))))
   3(c_1(c_1(c_0(c_0(c_2(c_2(c_4(c_2(c_2(c_2(c_2(c_1(c_2(c_2(c_1(c_1(c_1(c_1(c_4(z0)))))))))))))))))))) -> 4(2(1(4(1(3(2(2(4(4(2(3(3(3(3(2(4(3(2(3(z0))))))))))))))))))))
   3(c_0(c_0(c_1(c_0(c_2(c_3(c_3(c_2(c_0(c_2(c_1(c_1(c_0(c_4(c_3(c_2(c_0(c_4(c_2(z0)))))))))))))))))))) -> 1(0(0(2(1(4(4(0(2(3(0(2(4(4(2(3(2(4(0(2(z0))))))))))))))))))))
   3(c_2(c_3(c_2(c_2(c_0(c_0(c_4(c_1(c_0(c_0(c_4(c_0(c_3(c_3(c_2(c_2(c_1(c_0(c_3(z0)))))))))))))))))))) -> 1(3(1(2(0(4(0(3(2(4(3(0(2(1(2(2(1(2(2(3(z0))))))))))))))))))))
   3(c_4(c_4(c_4(c_3(c_1(c_4(c_3(c_0(c_2(c_2(c_0(c_4(c_4(c_1(c_3(c_3(c_3(c_2(c_2(z0)))))))))))))))))))) -> 4(2(2(3(0(0(3(1(1(1(4(4(3(0(3(2(1(0(2(2(z0))))))))))))))))))))
   3(c_0(c_1(c_0(c_2(c_2(c_3(c_1(c_2(c_1(c_1(c_1(c_0(c_0(c_2(c_2(c_1(c_3(c_1(c_3(z0)))))))))))))))))))) -> 3(1(4(1(2(1(0(3(2(0(0(1(0(2(4(0(2(2(3(2(z0))))))))))))))))))))
   3(c_3(c_1(c_0(c_2(c_4(c_2(c_3(c_1(c_0(c_2(c_4(c_4(c_4(c_0(c_0(c_2(c_1(c_1(c_2(z0)))))))))))))))))))) -> 2(4(2(3(2(3(4(0(4(2(4(3(1(0(1(2(0(3(2(0(z0))))))))))))))))))))
   3(c_2(c_0(c_3(c_2(c_4(c_4(c_2(c_2(c_2(c_0(c_1(c_2(c_2(c_3(c_4(c_0(c_2(c_4(c_1(z0)))))))))))))))))))) -> 0(0(2(3(0(2(1(2(2(2(3(2(1(3(4(3(4(2(2(2(z0))))))))))))))))))))
   3(c_3(c_3(c_0(c_2(c_0(c_2(c_2(c_1(c_0(c_0(c_4(c_4(c_2(c_0(c_2(c_3(c_0(c_2(c_4(z0)))))))))))))))))))) -> 2(3(3(2(4(3(4(2(3(3(1(0(1(2(4(3(0(3(3(2(z0))))))))))))))))))))
   3(c_0(c_1(c_4(c_3(c_1(c_2(c_0(c_3(c_2(c_3(c_2(c_2(c_0(c_2(c_2(c_3(c_1(c_2(c_2(z0)))))))))))))))))))) -> 0(2(2(3(0(2(0(3(1(3(1(2(2(2(3(2(2(0(4(2(z0))))))))))))))))))))
   3(c_4(c_2(c_1(c_4(c_1(c_0(c_2(c_4(c_3(c_3(c_4(c_3(c_3(c_1(c_2(c_2(c_3(c_3(c_3(z0)))))))))))))))))))) -> 4(2(0(1(2(0(2(0(0(2(1(4(0(3(2(2(3(2(2(4(z0))))))))))))))))))))
   3(c_1(c_0(c_3(c_2(c_2(c_1(c_1(c_4(c_4(c_0(c_2(c_2(c_4(c_3(c_2(c_2(c_3(c_4(c_2(z0)))))))))))))))))))) -> 2(0(4(3(3(2(2(2(4(0(4(3(2(2(2(0(3(0(4(2(z0))))))))))))))))))))
   3(c_0(c_1(c_3(c_2(c_0(c_1(c_3(c_4(c_2(c_3(c_1(c_2(c_2(c_1(c_2(c_3(c_1(c_3(c_1(z0)))))))))))))))))))) -> 2(3(2(3(0(2(1(2(2(4(3(3(3(2(1(0(1(3(2(2(z0))))))))))))))))))))
   3(c_0(c_2(c_4(c_0(c_4(c_0(c_1(c_2(c_1(c_4(c_3(c_0(c_4(c_3(c_0(c_3(c_3(c_3(c_2(z0)))))))))))))))))))) -> 1(0(4(3(1(4(2(3(3(4(3(0(0(2(2(3(4(0(4(2(z0))))))))))))))))))))
   3(c_2(c_0(c_3(c_4(c_4(c_4(c_1(c_0(c_2(c_2(c_1(c_4(c_0(c_0(c_4(c_3(c_2(c_3(c_1(z0)))))))))))))))))))) -> 0(4(0(3(4(2(0(3(1(3(3(1(1(0(3(2(2(3(0(3(z0))))))))))))))))))))
   3(c_0(c_3(c_2(c_0(c_0(c_2(c_2(c_3(c_0(c_0(c_4(c_3(c_4(c_2(c_4(c_2(c_3(c_3(c_3(z0)))))))))))))))))))) -> 3(0(0(1(3(2(2(2(3(3(2(0(1(2(3(3(4(2(2(4(z0))))))))))))))))))))
   4(z0) -> c_4(z0)
   4(c_1(c_4(c_3(c_1(c_0(c_4(c_4(c_1(c_3(c_3(c_2(c_2(c_1(c_2(c_2(c_3(c_2(c_0(c_0(z0)))))))))))))))))))) -> 2(2(4(4(3(3(2(1(4(4(3(2(3(4(1(2(1(1(3(0(z0))))))))))))))))))))
   4(c_1(c_2(c_3(c_2(c_0(c_0(c_1(c_0(c_2(c_3(c_1(c_3(c_2(c_3(c_1(c_0(c_1(c_4(c_2(z0)))))))))))))))))))) -> 1(1(1(0(2(3(0(3(3(2(4(3(3(2(0(2(1(2(3(3(z0))))))))))))))))))))
   4(c_3(c_0(c_3(c_4(c_3(c_3(c_0(c_1(c_3(c_2(c_3(c_3(c_4(c_3(c_0(c_0(c_3(c_4(c_2(z0)))))))))))))))))))) -> 1(1(0(4(0(0(0(2(4(0(2(2(3(2(3(3(0(4(3(2(z0))))))))))))))))))))
   4(c_3(c_2(c_0(c_0(c_3(c_4(c_2(c_0(c_3(c_0(c_1(c_0(c_1(c_1(c_4(c_0(c_2(c_2(c_4(z0)))))))))))))))))))) -> 4(1(2(2(4(4(2(1(4(3(2(0(0(0(2(4(1(2(0(3(z0))))))))))))))))))))
   4(c_0(c_3(c_2(c_0(c_3(c_3(c_2(c_3(c_1(c_4(c_3(c_2(c_2(c_3(c_1(c_3(c_1(c_0(c_4(z0)))))))))))))))))))) -> 0(0(0(2(1(3(3(4(2(4(3(3(2(4(2(3(3(0(0(3(z0))))))))))))))))))))
   4(c_4(c_0(c_3(c_0(c_1(c_3(c_2(c_2(c_2(c_3(c_1(c_0(c_2(c_3(c_3(c_0(c_2(c_4(c_4(z0)))))))))))))))))))) -> 2(1(3(2(2(2(4(0(3(2(2(2(2(2(0(3(0(2(0(3(z0))))))))))))))))))))
   4(c_4(c_4(c_4(c_3(c_2(c_0(c_3(c_2(c_4(c_2(c_4(c_1(c_2(c_1(c_4(c_2(c_3(c_0(c_0(z0)))))))))))))))))))) -> 3(4(2(3(3(2(2(1(3(4(2(3(1(4(4(3(1(1(3(3(z0))))))))))))))))))))
   4(c_0(c_2(c_3(c_1(c_1(c_2(c_3(c_1(c_1(c_2(c_0(c_4(c_3(c_0(c_2(c_3(c_2(c_3(c_3(z0)))))))))))))))))))) -> 2(2(4(2(2(3(0(2(4(2(3(1(3(2(2(3(4(1(0(2(z0))))))))))))))))))))
   4(c_3(c_0(c_3(c_2(c_0(c_2(c_2(c_3(c_1(c_0(c_2(c_0(c_0(c_2(c_3(c_1(c_3(c_4(c_4(z0)))))))))))))))))))) -> 1(4(0(3(3(2(2(2(0(2(3(1(2(3(3(0(3(1(0(1(z0))))))))))))))))))))
   4(c_2(c_4(c_0(c_2(c_3(c_1(c_0(c_2(c_1(c_2(c_2(c_4(c_1(c_4(c_3(c_1(c_0(c_3(c_2(z0)))))))))))))))))))) -> 1(3(0(2(3(2(0(0(0(3(3(2(4(4(3(3(2(4(3(0(z0))))))))))))))))))))
   4(c_2(c_3(c_2(c_2(c_0(c_0(c_4(c_0(c_2(c_0(c_1(c_3(c_0(c_2(c_1(c_0(c_1(c_2(c_4(z0)))))))))))))))))))) -> 1(0(2(0(4(3(4(3(0(3(2(2(4(0(2(1(2(2(4(2(z0))))))))))))))))))))
   4(c_4(c_0(c_3(c_0(c_4(c_2(c_4(c_2(c_3(c_0(c_2(c_2(c_0(c_4(c_3(c_3(c_4(c_2(c_2(z0)))))))))))))))))))) -> 2(3(3(1(0(2(2(3(1(4(0(0(1(2(2(0(4(4(2(2(z0))))))))))))))))))))
   4(c_0(c_0(c_0(c_0(c_4(c_2(c_1(c_1(c_1(c_1(c_3(c_2(c_4(c_0(c_0(c_3(c_2(c_4(c_1(z0)))))))))))))))))))) -> 2(1(2(2(0(2(4(3(1(0(4(1(4(0(3(4(1(3(4(4(z0))))))))))))))))))))
   4(c_4(c_2(c_2(c_0(c_0(c_3(c_0(c_3(c_1(c_2(c_3(c_3(c_1(c_2(c_2(c_2(c_4(c_4(c_4(z0)))))))))))))))))))) -> 4(2(3(0(2(2(0(2(2(4(3(1(1(4(4(2(4(2(3(3(z0))))))))))))))))))))
   4(c_2(c_3(c_0(c_2(c_2(c_4(c_0(c_0(c_3(c_1(c_2(c_0(c_4(c_2(c_0(c_2(c_3(c_3(c_0(z0)))))))))))))))))))) -> 2(2(2(2(4(0(3(0(4(1(2(2(1(3(3(2(0(3(1(0(z0))))))))))))))))))))
   4(c_1(c_1(c_1(c_4(c_2(c_4(c_2(c_0(c_2(c_3(c_3(c_1(c_3(c_0(c_2(c_2(c_0(c_0(c_3(z0)))))))))))))))))))) -> 0(4(2(1(2(2(2(0(4(2(3(3(0(2(1(4(0(1(4(2(z0))))))))))))))))))))
   4(c_0(c_2(c_2(c_4(c_3(c_1(c_3(c_4(c_0(c_0(c_0(c_2(c_2(c_2(c_3(c_0(c_4(c_2(c_4(z0)))))))))))))))))))) -> 2(1(3(3(4(4(1(0(3(2(2(3(0(0(4(3(3(4(2(2(z0))))))))))))))))))))
   4(c_3(c_3(c_3(c_0(c_2(c_1(c_2(c_2(c_3(c_2(c_0(c_1(c_1(c_4(c_1(c_3(c_4(c_2(c_4(z0)))))))))))))))))))) -> 3(4(1(3(3(2(1(2(1(1(0(2(2(0(0(1(1(2(3(2(z0))))))))))))))))))))
   4(c_4(c_4(c_1(c_3(c_3(c_4(c_4(c_2(c_2(c_0(c_1(c_0(c_2(c_4(c_3(c_2(c_2(c_0(c_2(z0)))))))))))))))))))) -> 4(3(2(3(2(2(0(0(1(3(4(2(2(2(4(4(1(2(0(2(z0))))))))))))))))))))
   4(c_0(c_4(c_2(c_2(c_3(c_3(c_2(c_2(c_1(c_2(c_1(c_0(c_1(c_0(c_3(c_2(c_1(c_2(c_0(z0)))))))))))))))))))) -> 1(1(2(2(0(0(4(4(2(3(3(3(2(2(2(0(3(0(0(2(z0))))))))))))))))))))
Tuples:
   ENCARG(cons_0(z0)) -> c(0'(encArg(z0)), ENCARG(z0))
   ENCARG(cons_1(z0)) -> c1(1'(encArg(z0)), ENCARG(z0))
   ENCARG(cons_2(z0)) -> c2(2'(encArg(z0)), ENCARG(z0))
   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_1(c_4(c_2(c_2(c_0(c_3(c_2(c_0(c_4(c_1(c_3(c_2(c_0(c_0(c_3(c_2(c_3(c_0(c_2(z0)))))))))))))))))))) -> c11(2'(4(2(1(2(2(3(0(2(0(1(2(2(0(1(2(0(0(4(2(z0)))))))))))))))))))), 4'(2(1(2(2(3(0(2(0(1(2(2(0(1(2(0(0(4(2(z0))))))))))))))))))), 2'(1(2(2(3(0(2(0(1(2(2(0(1(2(0(0(4(2(z0)))))))))))))))))), 1'(2(2(3(0(2(0(1(2(2(0(1(2(0(0(4(2(z0))))))))))))))))), 2'(2(3(0(2(0(1(2(2(0(1(2(0(0(4(2(z0)))))))))))))))), 2'(3(0(2(0(1(2(2(0(1(2(0(0(4(2(z0))))))))))))))), 3'(0(2(0(1(2(2(0(1(2(0(0(4(2(z0)))))))))))))), 0'(2(0(1(2(2(0(1(2(0(0(4(2(z0))))))))))))), 2'(0(1(2(2(0(1(2(0(0(4(2(z0)))))))))))), 0'(1(2(2(0(1(2(0(0(4(2(z0))))))))))), 1'(2(2(0(1(2(0(0(4(2(z0)))))))))), 2'(2(0(1(2(0(0(4(2(z0))))))))), 2'(0(1(2(0(0(4(2(z0)))))))), 0'(1(2(0(0(4(2(z0))))))), 1'(2(0(0(4(2(z0)))))), 2'(0(0(4(2(z0))))), 0'(0(4(2(z0)))), 0'(4(2(z0))), 4'(2(z0)), 2'(z0))
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   0'(c_4(c_4(c_2(c_3(c_2(c_1(c_2(c_2(c_1(c_4(c_1(c_1(c_1(c_4(c_2(c_2(c_1(c_2(c_0(z0)))))))))))))))))))) -> c16(3'(0(0(1(4(1(2(3(3(4(2(1(1(3(2(2(1(3(2(4(z0)))))))))))))))))))), 0'(0(1(4(1(2(3(3(4(2(1(1(3(2(2(1(3(2(4(z0))))))))))))))))))), 0'(1(4(1(2(3(3(4(2(1(1(3(2(2(1(3(2(4(z0)))))))))))))))))), 1'(4(1(2(3(3(4(2(1(1(3(2(2(1(3(2(4(z0))))))))))))))))), 4'(1(2(3(3(4(2(1(1(3(2(2(1(3(2(4(z0)))))))))))))))), 1'(2(3(3(4(2(1(1(3(2(2(1(3(2(4(z0))))))))))))))), 2'(3(3(4(2(1(1(3(2(2(1(3(2(4(z0)))))))))))))), 3'(3(4(2(1(1(3(2(2(1(3(2(4(z0))))))))))))), 3'(4(2(1(1(3(2(2(1(3(2(4(z0)))))))))))), 4'(2(1(1(3(2(2(1(3(2(4(z0))))))))))), 2'(1(1(3(2(2(1(3(2(4(z0)))))))))), 1'(1(3(2(2(1(3(2(4(z0))))))))), 1'(3(2(2(1(3(2(4(z0)))))))), 3'(2(2(1(3(2(4(z0))))))), 2'(2(1(3(2(4(z0)))))), 2'(1(3(2(4(z0))))), 1'(3(2(4(z0)))), 3'(2(4(z0))), 2'(4(z0)), 4'(z0))
   0'(c_0(c_0(c_2(c_1(c_1(c_2(c_2(c_1(c_3(c_0(c_0(c_4(c_3(c_4(c_3(c_4(c_1(c_2(c_1(z0)))))))))))))))))))) -> c17(0'(0(0(1(2(2(2(0(4(1(4(1(2(4(3(3(1(0(3(3(z0)))))))))))))))))))), 0'(0(1(2(2(2(0(4(1(4(1(2(4(3(3(1(0(3(3(z0))))))))))))))))))), 0'(1(2(2(2(0(4(1(4(1(2(4(3(3(1(0(3(3(z0)))))))))))))))))), 1'(2(2(2(0(4(1(4(1(2(4(3(3(1(0(3(3(z0))))))))))))))))), 2'(2(2(0(4(1(4(1(2(4(3(3(1(0(3(3(z0)))))))))))))))), 2'(2(0(4(1(4(1(2(4(3(3(1(0(3(3(z0))))))))))))))), 2'(0(4(1(4(1(2(4(3(3(1(0(3(3(z0)))))))))))))), 0'(4(1(4(1(2(4(3(3(1(0(3(3(z0))))))))))))), 4'(1(4(1(2(4(3(3(1(0(3(3(z0)))))))))))), 1'(4(1(2(4(3(3(1(0(3(3(z0))))))))))), 4'(1(2(4(3(3(1(0(3(3(z0)))))))))), 1'(2(4(3(3(1(0(3(3(z0))))))))), 2'(4(3(3(1(0(3(3(z0)))))))), 4'(3(3(1(0(3(3(z0))))))), 3'(3(1(0(3(3(z0)))))), 3'(1(0(3(3(z0))))), 1'(0(3(3(z0)))), 0'(3(3(z0))), 3'(3(z0)), 3'(z0))
   0'(c_0(c_2(c_3(c_1(c_4(c_2(c_1(c_4(c_2(c_0(c_1(c_4(c_2(c_2(c_1(c_1(c_2(c_4(c_4(z0)))))))))))))))))))) -> c18(1'(1(2(3(3(4(4(4(2(3(2(2(1(2(0(1(2(0(4(4(z0)))))))))))))))))))), 1'(2(3(3(4(4(4(2(3(2(2(1(2(0(1(2(0(4(4(z0))))))))))))))))))), 2'(3(3(4(4(4(2(3(2(2(1(2(0(1(2(0(4(4(z0)))))))))))))))))), 3'(3(4(4(4(2(3(2(2(1(2(0(1(2(0(4(4(z0))))))))))))))))), 3'(4(4(4(2(3(2(2(1(2(0(1(2(0(4(4(z0)))))))))))))))), 4'(4(4(2(3(2(2(1(2(0(1(2(0(4(4(z0))))))))))))))), 4'(4(2(3(2(2(1(2(0(1(2(0(4(4(z0)))))))))))))), 4'(2(3(2(2(1(2(0(1(2(0(4(4(z0))))))))))))), 2'(3(2(2(1(2(0(1(2(0(4(4(z0)))))))))))), 3'(2(2(1(2(0(1(2(0(4(4(z0))))))))))), 2'(2(1(2(0(1(2(0(4(4(z0)))))))))), 2'(1(2(0(1(2(0(4(4(z0))))))))), 1'(2(0(1(2(0(4(4(z0)))))))), 2'(0(1(2(0(4(4(z0))))))), 0'(1(2(0(4(4(z0)))))), 1'(2(0(4(4(z0))))), 2'(0(4(4(z0)))), 0'(4(4(z0))), 4'(4(z0)), 4'(z0))
   0'(c_2(c_3(c_0(c_4(c_2(c_3(c_1(c_3(c_4(c_0(c_3(c_4(c_2(c_1(c_3(c_2(c_3(c_4(c_0(z0)))))))))))))))))))) -> c19(4'(1(2(0(3(0(1(2(3(0(2(1(3(2(0(3(0(2(4(0(z0)))))))))))))))))))), 1'(2(0(3(0(1(2(3(0(2(1(3(2(0(3(0(2(4(0(z0))))))))))))))))))), 2'(0(3(0(1(2(3(0(2(1(3(2(0(3(0(2(4(0(z0)))))))))))))))))), 0'(3(0(1(2(3(0(2(1(3(2(0(3(0(2(4(0(z0))))))))))))))))), 3'(0(1(2(3(0(2(1(3(2(0(3(0(2(4(0(z0)))))))))))))))), 0'(1(2(3(0(2(1(3(2(0(3(0(2(4(0(z0))))))))))))))), 1'(2(3(0(2(1(3(2(0(3(0(2(4(0(z0)))))))))))))), 2'(3(0(2(1(3(2(0(3(0(2(4(0(z0))))))))))))), 3'(0(2(1(3(2(0(3(0(2(4(0(z0)))))))))))), 0'(2(1(3(2(0(3(0(2(4(0(z0))))))))))), 2'(1(3(2(0(3(0(2(4(0(z0)))))))))), 1'(3(2(0(3(0(2(4(0(z0))))))))), 3'(2(0(3(0(2(4(0(z0)))))))), 2'(0(3(0(2(4(0(z0))))))), 0'(3(0(2(4(0(z0)))))), 3'(0(2(4(0(z0))))), 0'(2(4(0(z0)))), 2'(4(0(z0))), 4'(0(z0)), 0'(z0))
   0'(c_2(c_1(c_1(c_2(c_1(c_4(c_1(c_2(c_2(c_4(c_0(c_0(c_3(c_3(c_3(c_2(c_2(c_1(c_0(z0)))))))))))))))))))) -> c20(4'(3(3(0(2(3(4(2(4(1(2(1(4(3(4(3(3(2(2(3(z0)))))))))))))))))))), 3'(3(0(2(3(4(2(4(1(2(1(4(3(4(3(3(2(2(3(z0))))))))))))))))))), 3'(0(2(3(4(2(4(1(2(1(4(3(4(3(3(2(2(3(z0)))))))))))))))))), 0'(2(3(4(2(4(1(2(1(4(3(4(3(3(2(2(3(z0))))))))))))))))), 2'(3(4(2(4(1(2(1(4(3(4(3(3(2(2(3(z0)))))))))))))))), 3'(4(2(4(1(2(1(4(3(4(3(3(2(2(3(z0))))))))))))))), 4'(2(4(1(2(1(4(3(4(3(3(2(2(3(z0)))))))))))))), 2'(4(1(2(1(4(3(4(3(3(2(2(3(z0))))))))))))), 4'(1(2(1(4(3(4(3(3(2(2(3(z0)))))))))))), 1'(2(1(4(3(4(3(3(2(2(3(z0))))))))))), 2'(1(4(3(4(3(3(2(2(3(z0)))))))))), 1'(4(3(4(3(3(2(2(3(z0))))))))), 4'(3(4(3(3(2(2(3(z0)))))))), 3'(4(3(3(2(2(3(z0))))))), 4'(3(3(2(2(3(z0)))))), 3'(3(2(2(3(z0))))), 3'(2(2(3(z0)))), 2'(2(3(z0))), 2'(3(z0)), 3'(z0))
   0'(c_2(c_1(c_3(c_0(c_0(c_4(c_4(c_4(c_0(c_0(c_3(c_2(c_1(c_2(c_4(c_0(c_1(c_2(c_2(z0)))))))))))))))))))) -> c21(0'(4(0(0(2(3(0(4(1(2(3(0(3(0(1(4(2(2(3(3(z0)))))))))))))))))))), 4'(0(0(2(3(0(4(1(2(3(0(3(0(1(4(2(2(3(3(z0))))))))))))))))))), 0'(0(2(3(0(4(1(2(3(0(3(0(1(4(2(2(3(3(z0)))))))))))))))))), 0'(2(3(0(4(1(2(3(0(3(0(1(4(2(2(3(3(z0))))))))))))))))), 2'(3(0(4(1(2(3(0(3(0(1(4(2(2(3(3(z0)))))))))))))))), 3'(0(4(1(2(3(0(3(0(1(4(2(2(3(3(z0))))))))))))))), 0'(4(1(2(3(0(3(0(1(4(2(2(3(3(z0)))))))))))))), 4'(1(2(3(0(3(0(1(4(2(2(3(3(z0))))))))))))), 1'(2(3(0(3(0(1(4(2(2(3(3(z0)))))))))))), 2'(3(0(3(0(1(4(2(2(3(3(z0))))))))))), 3'(0(3(0(1(4(2(2(3(3(z0)))))))))), 0'(3(0(1(4(2(2(3(3(z0))))))))), 3'(0(1(4(2(2(3(3(z0)))))))), 0'(1(4(2(2(3(3(z0))))))), 1'(4(2(2(3(3(z0)))))), 4'(2(2(3(3(z0))))), 2'(2(3(3(z0)))), 2'(3(3(z0))), 3'(3(z0)), 3'(z0))
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   1'(z0) -> c28
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   1'(c_0(c_0(c_1(c_2(c_3(c_4(c_2(c_0(c_4(c_4(c_2(c_2(c_4(c_1(c_2(c_2(c_2(c_4(c_4(z0)))))))))))))))))))) -> c30(2'(4(3(0(2(0(3(1(2(1(1(2(2(3(0(2(4(3(1(3(z0)))))))))))))))))))), 4'(3(0(2(0(3(1(2(1(1(2(2(3(0(2(4(3(1(3(z0))))))))))))))))))), 3'(0(2(0(3(1(2(1(1(2(2(3(0(2(4(3(1(3(z0)))))))))))))))))), 0'(2(0(3(1(2(1(1(2(2(3(0(2(4(3(1(3(z0))))))))))))))))), 2'(0(3(1(2(1(1(2(2(3(0(2(4(3(1(3(z0)))))))))))))))), 0'(3(1(2(1(1(2(2(3(0(2(4(3(1(3(z0))))))))))))))), 3'(1(2(1(1(2(2(3(0(2(4(3(1(3(z0)))))))))))))), 1'(2(1(1(2(2(3(0(2(4(3(1(3(z0))))))))))))), 2'(1(1(2(2(3(0(2(4(3(1(3(z0)))))))))))), 1'(1(2(2(3(0(2(4(3(1(3(z0))))))))))), 1'(2(2(3(0(2(4(3(1(3(z0)))))))))), 2'(2(3(0(2(4(3(1(3(z0))))))))), 2'(3(0(2(4(3(1(3(z0)))))))), 3'(0(2(4(3(1(3(z0))))))), 0'(2(4(3(1(3(z0)))))), 2'(4(3(1(3(z0))))), 4'(3(1(3(z0)))), 3'(1(3(z0))), 1'(3(z0)), 3'(z0))
   1'(c_0(c_0(c_3(c_1(c_4(c_2(c_1(c_2(c_2(c_2(c_2(c_2(c_3(c_0(c_1(c_4(c_2(c_0(c_4(z0)))))))))))))))))))) -> c31(2'(4(4(0(3(3(0(3(3(3(2(4(2(2(0(0(0(0(3(3(z0)))))))))))))))))))), 4'(4(0(3(3(0(3(3(3(2(4(2(2(0(0(0(0(3(3(z0))))))))))))))))))), 4'(0(3(3(0(3(3(3(2(4(2(2(0(0(0(0(3(3(z0)))))))))))))))))), 0'(3(3(0(3(3(3(2(4(2(2(0(0(0(0(3(3(z0))))))))))))))))), 3'(3(0(3(3(3(2(4(2(2(0(0(0(0(3(3(z0)))))))))))))))), 3'(0(3(3(3(2(4(2(2(0(0(0(0(3(3(z0))))))))))))))), 0'(3(3(3(2(4(2(2(0(0(0(0(3(3(z0)))))))))))))), 3'(3(3(2(4(2(2(0(0(0(0(3(3(z0))))))))))))), 3'(3(2(4(2(2(0(0(0(0(3(3(z0)))))))))))), 3'(2(4(2(2(0(0(0(0(3(3(z0))))))))))), 2'(4(2(2(0(0(0(0(3(3(z0)))))))))), 4'(2(2(0(0(0(0(3(3(z0))))))))), 2'(2(0(0(0(0(3(3(z0)))))))), 2'(0(0(0(0(3(3(z0))))))), 0'(0(0(0(3(3(z0)))))), 0'(0(0(3(3(z0))))), 0'(0(3(3(z0)))), 0'(3(3(z0))), 3'(3(z0)), 3'(z0))
   1'(c_1(c_1(c_1(c_2(c_4(c_4(c_3(c_0(c_2(c_3(c_3(c_1(c_3(c_0(c_1(c_4(c_2(c_2(c_3(z0)))))))))))))))))))) -> c32(3'(4(2(1(1(0(1(2(1(4(4(2(3(3(4(2(1(2(3(2(z0)))))))))))))))))))), 4'(2(1(1(0(1(2(1(4(4(2(3(3(4(2(1(2(3(2(z0))))))))))))))))))), 2'(1(1(0(1(2(1(4(4(2(3(3(4(2(1(2(3(2(z0)))))))))))))))))), 1'(1(0(1(2(1(4(4(2(3(3(4(2(1(2(3(2(z0))))))))))))))))), 1'(0(1(2(1(4(4(2(3(3(4(2(1(2(3(2(z0)))))))))))))))), 0'(1(2(1(4(4(2(3(3(4(2(1(2(3(2(z0))))))))))))))), 1'(2(1(4(4(2(3(3(4(2(1(2(3(2(z0)))))))))))))), 2'(1(4(4(2(3(3(4(2(1(2(3(2(z0))))))))))))), 1'(4(4(2(3(3(4(2(1(2(3(2(z0)))))))))))), 4'(4(2(3(3(4(2(1(2(3(2(z0))))))))))), 4'(2(3(3(4(2(1(2(3(2(z0)))))))))), 2'(3(3(4(2(1(2(3(2(z0))))))))), 3'(3(4(2(1(2(3(2(z0)))))))), 3'(4(2(1(2(3(2(z0))))))), 4'(2(1(2(3(2(z0)))))), 2'(1(2(3(2(z0))))), 1'(2(3(2(z0)))), 2'(3(2(z0))), 3'(2(z0)), 2'(z0))
   1'(c_0(c_0(c_4(c_0(c_0(c_2(c_3(c_2(c_2(c_3(c_3(c_1(c_3(c_4(c_3(c_2(c_2(c_1(c_1(z0)))))))))))))))))))) -> c33(1'(2(2(2(0(0(2(2(3(0(4(4(2(1(4(2(2(2(4(1(z0)))))))))))))))))))), 2'(2(2(0(0(2(2(3(0(4(4(2(1(4(2(2(2(4(1(z0))))))))))))))))))), 2'(2(0(0(2(2(3(0(4(4(2(1(4(2(2(2(4(1(z0)))))))))))))))))), 2'(0(0(2(2(3(0(4(4(2(1(4(2(2(2(4(1(z0))))))))))))))))), 0'(0(2(2(3(0(4(4(2(1(4(2(2(2(4(1(z0)))))))))))))))), 0'(2(2(3(0(4(4(2(1(4(2(2(2(4(1(z0))))))))))))))), 2'(2(3(0(4(4(2(1(4(2(2(2(4(1(z0)))))))))))))), 2'(3(0(4(4(2(1(4(2(2(2(4(1(z0))))))))))))), 3'(0(4(4(2(1(4(2(2(2(4(1(z0)))))))))))), 0'(4(4(2(1(4(2(2(2(4(1(z0))))))))))), 4'(4(2(1(4(2(2(2(4(1(z0)))))))))), 4'(2(1(4(2(2(2(4(1(z0))))))))), 2'(1(4(2(2(2(4(1(z0)))))))), 1'(4(2(2(2(4(1(z0))))))), 4'(2(2(2(4(1(z0)))))), 2'(2(2(4(1(z0))))), 2'(2(4(1(z0)))), 2'(4(1(z0))), 4'(1(z0)), 1'(z0))
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   1'(c_3(c_1(c_4(c_0(c_1(c_4(c_3(c_0(c_4(c_2(c_1(c_0(c_0(c_1(c_2(c_3(c_2(c_2(c_3(z0)))))))))))))))))))) -> c38(0'(4(0(3(0(3(0(3(2(0(1(0(0(2(1(3(2(1(2(0(z0)))))))))))))))))))), 4'(0(3(0(3(0(3(2(0(1(0(0(2(1(3(2(1(2(0(z0))))))))))))))))))), 0'(3(0(3(0(3(2(0(1(0(0(2(1(3(2(1(2(0(z0)))))))))))))))))), 3'(0(3(0(3(2(0(1(0(0(2(1(3(2(1(2(0(z0))))))))))))))))), 0'(3(0(3(2(0(1(0(0(2(1(3(2(1(2(0(z0)))))))))))))))), 3'(0(3(2(0(1(0(0(2(1(3(2(1(2(0(z0))))))))))))))), 0'(3(2(0(1(0(0(2(1(3(2(1(2(0(z0)))))))))))))), 3'(2(0(1(0(0(2(1(3(2(1(2(0(z0))))))))))))), 2'(0(1(0(0(2(1(3(2(1(2(0(z0)))))))))))), 0'(1(0(0(2(1(3(2(1(2(0(z0))))))))))), 1'(0(0(2(1(3(2(1(2(0(z0)))))))))), 0'(0(2(1(3(2(1(2(0(z0))))))))), 0'(2(1(3(2(1(2(0(z0)))))))), 2'(1(3(2(1(2(0(z0))))))), 1'(3(2(1(2(0(z0)))))), 3'(2(1(2(0(z0))))), 2'(1(2(0(z0)))), 1'(2(0(z0))), 2'(0(z0)), 0'(z0))
   1'(c_0(c_2(c_1(c_1(c_1(c_2(c_0(c_0(c_2(c_1(c_3(c_3(c_3(c_1(c_4(c_1(c_0(c_0(c_1(z0)))))))))))))))))))) -> c39(2'(2(1(0(1(4(3(2(3(0(0(0(4(3(2(1(1(2(0(2(z0)))))))))))))))))))), 2'(1(0(1(4(3(2(3(0(0(0(4(3(2(1(1(2(0(2(z0))))))))))))))))))), 1'(0(1(4(3(2(3(0(0(0(4(3(2(1(1(2(0(2(z0)))))))))))))))))), 0'(1(4(3(2(3(0(0(0(4(3(2(1(1(2(0(2(z0))))))))))))))))), 1'(4(3(2(3(0(0(0(4(3(2(1(1(2(0(2(z0)))))))))))))))), 4'(3(2(3(0(0(0(4(3(2(1(1(2(0(2(z0))))))))))))))), 3'(2(3(0(0(0(4(3(2(1(1(2(0(2(z0)))))))))))))), 2'(3(0(0(0(4(3(2(1(1(2(0(2(z0))))))))))))), 3'(0(0(0(4(3(2(1(1(2(0(2(z0)))))))))))), 0'(0(0(4(3(2(1(1(2(0(2(z0))))))))))), 0'(0(4(3(2(1(1(2(0(2(z0)))))))))), 0'(4(3(2(1(1(2(0(2(z0))))))))), 4'(3(2(1(1(2(0(2(z0)))))))), 3'(2(1(1(2(0(2(z0))))))), 2'(1(1(2(0(2(z0)))))), 1'(1(2(0(2(z0))))), 1'(2(0(2(z0)))), 2'(0(2(z0))), 0'(2(z0)), 2'(z0))
   1'(c_0(c_4(c_0(c_1(c_3(c_0(c_2(c_3(c_2(c_1(c_2(c_3(c_2(c_4(c_2(c_4(c_3(c_4(c_2(z0)))))))))))))))))))) -> c40(2'(3(0(2(0(2(2(2(3(4(1(0(2(3(1(2(1(2(4(2(z0)))))))))))))))))))), 3'(0(2(0(2(2(2(3(4(1(0(2(3(1(2(1(2(4(2(z0))))))))))))))))))), 0'(2(0(2(2(2(3(4(1(0(2(3(1(2(1(2(4(2(z0)))))))))))))))))), 2'(0(2(2(2(3(4(1(0(2(3(1(2(1(2(4(2(z0))))))))))))))))), 0'(2(2(2(3(4(1(0(2(3(1(2(1(2(4(2(z0)))))))))))))))), 2'(2(2(3(4(1(0(2(3(1(2(1(2(4(2(z0))))))))))))))), 2'(2(3(4(1(0(2(3(1(2(1(2(4(2(z0)))))))))))))), 2'(3(4(1(0(2(3(1(2(1(2(4(2(z0))))))))))))), 3'(4(1(0(2(3(1(2(1(2(4(2(z0)))))))))))), 4'(1(0(2(3(1(2(1(2(4(2(z0))))))))))), 1'(0(2(3(1(2(1(2(4(2(z0)))))))))), 0'(2(3(1(2(1(2(4(2(z0))))))))), 2'(3(1(2(1(2(4(2(z0)))))))), 3'(1(2(1(2(4(2(z0))))))), 1'(2(1(2(4(2(z0)))))), 2'(1(2(4(2(z0))))), 1'(2(4(2(z0)))), 2'(4(2(z0))), 4'(2(z0)), 2'(z0))
   1'(c_4(c_4(c_2(c_3(c_1(c_2(c_3(c_3(c_1(c_0(c_1(c_3(c_2(c_1(c_2(c_1(c_2(c_2(c_2(z0)))))))))))))))))))) -> c41(2'(0(2(0(2(0(2(0(4(2(4(2(3(2(3(1(2(2(2(1(z0)))))))))))))))))))), 0'(2(0(2(0(2(0(4(2(4(2(3(2(3(1(2(2(2(1(z0))))))))))))))))))), 2'(0(2(0(2(0(4(2(4(2(3(2(3(1(2(2(2(1(z0)))))))))))))))))), 0'(2(0(2(0(4(2(4(2(3(2(3(1(2(2(2(1(z0))))))))))))))))), 2'(0(2(0(4(2(4(2(3(2(3(1(2(2(2(1(z0)))))))))))))))), 0'(2(0(4(2(4(2(3(2(3(1(2(2(2(1(z0))))))))))))))), 2'(0(4(2(4(2(3(2(3(1(2(2(2(1(z0)))))))))))))), 0'(4(2(4(2(3(2(3(1(2(2(2(1(z0))))))))))))), 4'(2(4(2(3(2(3(1(2(2(2(1(z0)))))))))))), 2'(4(2(3(2(3(1(2(2(2(1(z0))))))))))), 4'(2(3(2(3(1(2(2(2(1(z0)))))))))), 2'(3(2(3(1(2(2(2(1(z0))))))))), 3'(2(3(1(2(2(2(1(z0)))))))), 2'(3(1(2(2(2(1(z0))))))), 3'(1(2(2(2(1(z0)))))), 1'(2(2(2(1(z0))))), 2'(2(2(1(z0)))), 2'(2(1(z0))), 2'(1(z0)), 1'(z0))
   1'(c_1(c_0(c_0(c_1(c_3(c_2(c_4(c_3(c_1(c_4(c_0(c_4(c_1(c_2(c_2(c_2(c_3(c_3(c_2(z0)))))))))))))))))))) -> c42(3'(1(4(3(1(0(3(4(0(3(2(2(4(0(2(3(3(2(2(0(z0)))))))))))))))))))), 1'(4(3(1(0(3(4(0(3(2(2(4(0(2(3(3(2(2(0(z0))))))))))))))))))), 4'(3(1(0(3(4(0(3(2(2(4(0(2(3(3(2(2(0(z0)))))))))))))))))), 3'(1(0(3(4(0(3(2(2(4(0(2(3(3(2(2(0(z0))))))))))))))))), 1'(0(3(4(0(3(2(2(4(0(2(3(3(2(2(0(z0)))))))))))))))), 0'(3(4(0(3(2(2(4(0(2(3(3(2(2(0(z0))))))))))))))), 3'(4(0(3(2(2(4(0(2(3(3(2(2(0(z0)))))))))))))), 4'(0(3(2(2(4(0(2(3(3(2(2(0(z0))))))))))))), 0'(3(2(2(4(0(2(3(3(2(2(0(z0)))))))))))), 3'(2(2(4(0(2(3(3(2(2(0(z0))))))))))), 2'(2(4(0(2(3(3(2(2(0(z0)))))))))), 2'(4(0(2(3(3(2(2(0(z0))))))))), 4'(0(2(3(3(2(2(0(z0)))))))), 0'(2(3(3(2(2(0(z0))))))), 2'(3(3(2(2(0(z0)))))), 3'(3(2(2(0(z0))))), 3'(2(2(0(z0)))), 2'(2(0(z0))), 2'(0(z0)), 0'(z0))
   2'(z0) -> c43
   2'(c_1(c_3(c_4(c_1(c_0(c_3(c_2(c_0(c_3(c_0(c_1(c_1(c_4(c_0(c_0(c_2(c_4(c_4(c_1(z0)))))))))))))))))))) -> c44(3'(0(3(2(1(4(1(4(0(0(2(2(0(1(1(0(4(1(2(1(z0)))))))))))))))))))), 0'(3(2(1(4(1(4(0(0(2(2(0(1(1(0(4(1(2(1(z0))))))))))))))))))), 3'(2(1(4(1(4(0(0(2(2(0(1(1(0(4(1(2(1(z0)))))))))))))))))), 2'(1(4(1(4(0(0(2(2(0(1(1(0(4(1(2(1(z0))))))))))))))))), 1'(4(1(4(0(0(2(2(0(1(1(0(4(1(2(1(z0)))))))))))))))), 4'(1(4(0(0(2(2(0(1(1(0(4(1(2(1(z0))))))))))))))), 1'(4(0(0(2(2(0(1(1(0(4(1(2(1(z0)))))))))))))), 4'(0(0(2(2(0(1(1(0(4(1(2(1(z0))))))))))))), 0'(0(2(2(0(1(1(0(4(1(2(1(z0)))))))))))), 0'(2(2(0(1(1(0(4(1(2(1(z0))))))))))), 2'(2(0(1(1(0(4(1(2(1(z0)))))))))), 2'(0(1(1(0(4(1(2(1(z0))))))))), 0'(1(1(0(4(1(2(1(z0)))))))), 1'(1(0(4(1(2(1(z0))))))), 1'(0(4(1(2(1(z0)))))), 0'(4(1(2(1(z0))))), 4'(1(2(1(z0)))), 1'(2(1(z0))), 2'(1(z0)), 1'(z0))
   2'(c_1(c_4(c_4(c_0(c_1(c_2(c_0(c_2(c_3(c_0(c_2(c_1(c_2(c_3(c_0(c_2(c_3(c_1(c_3(z0)))))))))))))))))))) -> c45(0'(3(2(3(2(3(0(2(2(0(2(3(1(3(3(3(1(2(4(2(z0)))))))))))))))))))), 3'(2(3(2(3(0(2(2(0(2(3(1(3(3(3(1(2(4(2(z0))))))))))))))))))), 2'(3(2(3(0(2(2(0(2(3(1(3(3(3(1(2(4(2(z0)))))))))))))))))), 3'(2(3(0(2(2(0(2(3(1(3(3(3(1(2(4(2(z0))))))))))))))))), 2'(3(0(2(2(0(2(3(1(3(3(3(1(2(4(2(z0)))))))))))))))), 3'(0(2(2(0(2(3(1(3(3(3(1(2(4(2(z0))))))))))))))), 0'(2(2(0(2(3(1(3(3(3(1(2(4(2(z0)))))))))))))), 2'(2(0(2(3(1(3(3(3(1(2(4(2(z0))))))))))))), 2'(0(2(3(1(3(3(3(1(2(4(2(z0)))))))))))), 0'(2(3(1(3(3(3(1(2(4(2(z0))))))))))), 2'(3(1(3(3(3(1(2(4(2(z0)))))))))), 3'(1(3(3(3(1(2(4(2(z0))))))))), 1'(3(3(3(1(2(4(2(z0)))))))), 3'(3(3(1(2(4(2(z0))))))), 3'(3(1(2(4(2(z0)))))), 3'(1(2(4(2(z0))))), 1'(2(4(2(z0)))), 2'(4(2(z0))), 4'(2(z0)), 2'(z0))
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   2'(c_0(c_4(c_2(c_1(c_3(c_4(c_4(c_2(c_1(c_0(c_3(c_2(c_1(c_3(c_2(c_1(c_4(c_2(c_4(z0)))))))))))))))))))) -> c70(0'(2(4(2(2(2(0(2(4(3(3(2(3(3(4(1(0(3(0(4(z0)))))))))))))))))))), 2'(4(2(2(2(0(2(4(3(3(2(3(3(4(1(0(3(0(4(z0))))))))))))))))))), 4'(2(2(2(0(2(4(3(3(2(3(3(4(1(0(3(0(4(z0)))))))))))))))))), 2'(2(2(0(2(4(3(3(2(3(3(4(1(0(3(0(4(z0))))))))))))))))), 2'(2(0(2(4(3(3(2(3(3(4(1(0(3(0(4(z0)))))))))))))))), 2'(0(2(4(3(3(2(3(3(4(1(0(3(0(4(z0))))))))))))))), 0'(2(4(3(3(2(3(3(4(1(0(3(0(4(z0)))))))))))))), 2'(4(3(3(2(3(3(4(1(0(3(0(4(z0))))))))))))), 4'(3(3(2(3(3(4(1(0(3(0(4(z0)))))))))))), 3'(3(2(3(3(4(1(0(3(0(4(z0))))))))))), 3'(2(3(3(4(1(0(3(0(4(z0)))))))))), 2'(3(3(4(1(0(3(0(4(z0))))))))), 3'(3(4(1(0(3(0(4(z0)))))))), 3'(4(1(0(3(0(4(z0))))))), 4'(1(0(3(0(4(z0)))))), 1'(0(3(0(4(z0))))), 0'(3(0(4(z0)))), 3'(0(4(z0))), 0'(4(z0)), 4'(z0))
   3'(z0) -> c71
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   3'(c_1(c_1(c_1(c_2(c_0(c_1(c_3(c_3(c_2(c_1(c_3(c_4(c_1(c_2(c_2(c_3(c_3(c_2(c_3(z0)))))))))))))))))))) -> c73(2'(3(2(2(4(3(4(2(3(1(2(2(4(2(3(0(4(3(0(3(z0)))))))))))))))))))), 3'(2(2(4(3(4(2(3(1(2(2(4(2(3(0(4(3(0(3(z0))))))))))))))))))), 2'(2(4(3(4(2(3(1(2(2(4(2(3(0(4(3(0(3(z0)))))))))))))))))), 2'(4(3(4(2(3(1(2(2(4(2(3(0(4(3(0(3(z0))))))))))))))))), 4'(3(4(2(3(1(2(2(4(2(3(0(4(3(0(3(z0)))))))))))))))), 3'(4(2(3(1(2(2(4(2(3(0(4(3(0(3(z0))))))))))))))), 4'(2(3(1(2(2(4(2(3(0(4(3(0(3(z0)))))))))))))), 2'(3(1(2(2(4(2(3(0(4(3(0(3(z0))))))))))))), 3'(1(2(2(4(2(3(0(4(3(0(3(z0)))))))))))), 1'(2(2(4(2(3(0(4(3(0(3(z0))))))))))), 2'(2(4(2(3(0(4(3(0(3(z0)))))))))), 2'(4(2(3(0(4(3(0(3(z0))))))))), 4'(2(3(0(4(3(0(3(z0)))))))), 2'(3(0(4(3(0(3(z0))))))), 3'(0(4(3(0(3(z0)))))), 0'(4(3(0(3(z0))))), 4'(3(0(3(z0)))), 3'(0(3(z0))), 0'(3(z0)), 3'(z0))
   3'(c_2(c_2(c_3(c_4(c_3(c_2(c_2(c_0(c_4(c_1(c_4(c_3(c_4(c_2(c_1(c_4(c_1(c_0(c_2(z0)))))))))))))))))))) -> c74(2'(1(3(3(3(2(2(4(0(4(0(4(2(0(2(1(3(3(3(3(z0)))))))))))))))))))), 1'(3(3(3(2(2(4(0(4(0(4(2(0(2(1(3(3(3(3(z0))))))))))))))))))), 3'(3(3(2(2(4(0(4(0(4(2(0(2(1(3(3(3(3(z0)))))))))))))))))), 3'(3(2(2(4(0(4(0(4(2(0(2(1(3(3(3(3(z0))))))))))))))))), 3'(2(2(4(0(4(0(4(2(0(2(1(3(3(3(3(z0)))))))))))))))), 2'(2(4(0(4(0(4(2(0(2(1(3(3(3(3(z0))))))))))))))), 2'(4(0(4(0(4(2(0(2(1(3(3(3(3(z0)))))))))))))), 4'(0(4(0(4(2(0(2(1(3(3(3(3(z0))))))))))))), 0'(4(0(4(2(0(2(1(3(3(3(3(z0)))))))))))), 4'(0(4(2(0(2(1(3(3(3(3(z0))))))))))), 0'(4(2(0(2(1(3(3(3(3(z0)))))))))), 4'(2(0(2(1(3(3(3(3(z0))))))))), 2'(0(2(1(3(3(3(3(z0)))))))), 0'(2(1(3(3(3(3(z0))))))), 2'(1(3(3(3(3(z0)))))), 1'(3(3(3(3(z0))))), 3'(3(3(3(z0)))), 3'(3(3(z0))), 3'(3(z0)), 3'(z0))
   3'(c_3(c_2(c_4(c_3(c_0(c_2(c_1(c_4(c_3(c_3(c_4(c_4(c_1(c_1(c_4(c_3(c_3(c_2(c_2(z0)))))))))))))))))))) -> c75(4'(1(2(3(2(0(3(3(0(3(2(3(1(1(2(0(1(0(2(2(z0)))))))))))))))))))), 1'(2(3(2(0(3(3(0(3(2(3(1(1(2(0(1(0(2(2(z0))))))))))))))))))), 2'(3(2(0(3(3(0(3(2(3(1(1(2(0(1(0(2(2(z0)))))))))))))))))), 3'(2(0(3(3(0(3(2(3(1(1(2(0(1(0(2(2(z0))))))))))))))))), 2'(0(3(3(0(3(2(3(1(1(2(0(1(0(2(2(z0)))))))))))))))), 0'(3(3(0(3(2(3(1(1(2(0(1(0(2(2(z0))))))))))))))), 3'(3(0(3(2(3(1(1(2(0(1(0(2(2(z0)))))))))))))), 3'(0(3(2(3(1(1(2(0(1(0(2(2(z0))))))))))))), 0'(3(2(3(1(1(2(0(1(0(2(2(z0)))))))))))), 3'(2(3(1(1(2(0(1(0(2(2(z0))))))))))), 2'(3(1(1(2(0(1(0(2(2(z0)))))))))), 3'(1(1(2(0(1(0(2(2(z0))))))))), 1'(1(2(0(1(0(2(2(z0)))))))), 1'(2(0(1(0(2(2(z0))))))), 2'(0(1(0(2(2(z0)))))), 0'(1(0(2(2(z0))))), 1'(0(2(2(z0)))), 0'(2(2(z0))), 2'(2(z0)), 2'(z0))
   3'(c_1(c_4(c_3(c_4(c_2(c_1(c_1(c_1(c_4(c_3(c_1(c_3(c_2(c_2(c_4(c_2(c_2(c_1(c_1(z0)))))))))))))))))))) -> c76(2'(1(2(4(2(4(1(4(2(1(4(0(0(1(2(3(3(2(1(3(z0)))))))))))))))))))), 1'(2(4(2(4(1(4(2(1(4(0(0(1(2(3(3(2(1(3(z0))))))))))))))))))), 2'(4(2(4(1(4(2(1(4(0(0(1(2(3(3(2(1(3(z0)))))))))))))))))), 4'(2(4(1(4(2(1(4(0(0(1(2(3(3(2(1(3(z0))))))))))))))))), 2'(4(1(4(2(1(4(0(0(1(2(3(3(2(1(3(z0)))))))))))))))), 4'(1(4(2(1(4(0(0(1(2(3(3(2(1(3(z0))))))))))))))), 1'(4(2(1(4(0(0(1(2(3(3(2(1(3(z0)))))))))))))), 4'(2(1(4(0(0(1(2(3(3(2(1(3(z0))))))))))))), 2'(1(4(0(0(1(2(3(3(2(1(3(z0)))))))))))), 1'(4(0(0(1(2(3(3(2(1(3(z0))))))))))), 4'(0(0(1(2(3(3(2(1(3(z0)))))))))), 0'(0(1(2(3(3(2(1(3(z0))))))))), 0'(1(2(3(3(2(1(3(z0)))))))), 1'(2(3(3(2(1(3(z0))))))), 2'(3(3(2(1(3(z0)))))), 3'(3(2(1(3(z0))))), 3'(2(1(3(z0)))), 2'(1(3(z0))), 1'(3(z0)), 3'(z0))
   3'(c_3(c_0(c_4(c_4(c_1(c_0(c_2(c_3(c_2(c_1(c_2(c_2(c_3(c_3(c_1(c_0(c_2(c_4(c_1(z0)))))))))))))))))))) -> c77(4'(2(1(2(3(3(3(3(0(2(0(3(0(2(3(1(2(1(1(0(z0)))))))))))))))))))), 2'(1(2(3(3(3(3(0(2(0(3(0(2(3(1(2(1(1(0(z0))))))))))))))))))), 1'(2(3(3(3(3(0(2(0(3(0(2(3(1(2(1(1(0(z0)))))))))))))))))), 2'(3(3(3(3(0(2(0(3(0(2(3(1(2(1(1(0(z0))))))))))))))))), 3'(3(3(3(0(2(0(3(0(2(3(1(2(1(1(0(z0)))))))))))))))), 3'(3(3(0(2(0(3(0(2(3(1(2(1(1(0(z0))))))))))))))), 3'(3(0(2(0(3(0(2(3(1(2(1(1(0(z0)))))))))))))), 3'(0(2(0(3(0(2(3(1(2(1(1(0(z0))))))))))))), 0'(2(0(3(0(2(3(1(2(1(1(0(z0)))))))))))), 2'(0(3(0(2(3(1(2(1(1(0(z0))))))))))), 0'(3(0(2(3(1(2(1(1(0(z0)))))))))), 3'(0(2(3(1(2(1(1(0(z0))))))))), 0'(2(3(1(2(1(1(0(z0)))))))), 2'(3(1(2(1(1(0(z0))))))), 3'(1(2(1(1(0(z0)))))), 1'(2(1(1(0(z0))))), 2'(1(1(0(z0)))), 1'(1(0(z0))), 1'(0(z0)), 0'(z0))
   3'(c_1(c_1(c_0(c_0(c_2(c_2(c_4(c_2(c_2(c_2(c_2(c_1(c_2(c_2(c_1(c_1(c_1(c_1(c_4(z0)))))))))))))))))))) -> c78(4'(2(1(4(1(3(2(2(4(4(2(3(3(3(3(2(4(3(2(3(z0)))))))))))))))))))), 2'(1(4(1(3(2(2(4(4(2(3(3(3(3(2(4(3(2(3(z0))))))))))))))))))), 1'(4(1(3(2(2(4(4(2(3(3(3(3(2(4(3(2(3(z0)))))))))))))))))), 4'(1(3(2(2(4(4(2(3(3(3(3(2(4(3(2(3(z0))))))))))))))))), 1'(3(2(2(4(4(2(3(3(3(3(2(4(3(2(3(z0)))))))))))))))), 3'(2(2(4(4(2(3(3(3(3(2(4(3(2(3(z0))))))))))))))), 2'(2(4(4(2(3(3(3(3(2(4(3(2(3(z0)))))))))))))), 2'(4(4(2(3(3(3(3(2(4(3(2(3(z0))))))))))))), 4'(4(2(3(3(3(3(2(4(3(2(3(z0)))))))))))), 4'(2(3(3(3(3(2(4(3(2(3(z0))))))))))), 2'(3(3(3(3(2(4(3(2(3(z0)))))))))), 3'(3(3(3(2(4(3(2(3(z0))))))))), 3'(3(3(2(4(3(2(3(z0)))))))), 3'(3(2(4(3(2(3(z0))))))), 3'(2(4(3(2(3(z0)))))), 2'(4(3(2(3(z0))))), 4'(3(2(3(z0)))), 3'(2(3(z0))), 2'(3(z0)), 3'(z0))
   3'(c_0(c_0(c_1(c_0(c_2(c_3(c_3(c_2(c_0(c_2(c_1(c_1(c_0(c_4(c_3(c_2(c_0(c_4(c_2(z0)))))))))))))))))))) -> c79(1'(0(0(2(1(4(4(0(2(3(0(2(4(4(2(3(2(4(0(2(z0)))))))))))))))))))), 0'(0(2(1(4(4(0(2(3(0(2(4(4(2(3(2(4(0(2(z0))))))))))))))))))), 0'(2(1(4(4(0(2(3(0(2(4(4(2(3(2(4(0(2(z0)))))))))))))))))), 2'(1(4(4(0(2(3(0(2(4(4(2(3(2(4(0(2(z0))))))))))))))))), 1'(4(4(0(2(3(0(2(4(4(2(3(2(4(0(2(z0)))))))))))))))), 4'(4(0(2(3(0(2(4(4(2(3(2(4(0(2(z0))))))))))))))), 4'(0(2(3(0(2(4(4(2(3(2(4(0(2(z0)))))))))))))), 0'(2(3(0(2(4(4(2(3(2(4(0(2(z0))))))))))))), 2'(3(0(2(4(4(2(3(2(4(0(2(z0)))))))))))), 3'(0(2(4(4(2(3(2(4(0(2(z0))))))))))), 0'(2(4(4(2(3(2(4(0(2(z0)))))))))), 2'(4(4(2(3(2(4(0(2(z0))))))))), 4'(4(2(3(2(4(0(2(z0)))))))), 4'(2(3(2(4(0(2(z0))))))), 2'(3(2(4(0(2(z0)))))), 3'(2(4(0(2(z0))))), 2'(4(0(2(z0)))), 4'(0(2(z0))), 0'(2(z0)), 2'(z0))
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   3'(c_4(c_4(c_4(c_3(c_1(c_4(c_3(c_0(c_2(c_2(c_0(c_4(c_4(c_1(c_3(c_3(c_3(c_2(c_2(z0)))))))))))))))))))) -> c81(4'(2(2(3(0(0(3(1(1(1(4(4(3(0(3(2(1(0(2(2(z0)))))))))))))))))))), 2'(2(3(0(0(3(1(1(1(4(4(3(0(3(2(1(0(2(2(z0))))))))))))))))))), 2'(3(0(0(3(1(1(1(4(4(3(0(3(2(1(0(2(2(z0)))))))))))))))))), 3'(0(0(3(1(1(1(4(4(3(0(3(2(1(0(2(2(z0))))))))))))))))), 0'(0(3(1(1(1(4(4(3(0(3(2(1(0(2(2(z0)))))))))))))))), 0'(3(1(1(1(4(4(3(0(3(2(1(0(2(2(z0))))))))))))))), 3'(1(1(1(4(4(3(0(3(2(1(0(2(2(z0)))))))))))))), 1'(1(1(4(4(3(0(3(2(1(0(2(2(z0))))))))))))), 1'(1(4(4(3(0(3(2(1(0(2(2(z0)))))))))))), 1'(4(4(3(0(3(2(1(0(2(2(z0))))))))))), 4'(4(3(0(3(2(1(0(2(2(z0)))))))))), 4'(3(0(3(2(1(0(2(2(z0))))))))), 3'(0(3(2(1(0(2(2(z0)))))))), 0'(3(2(1(0(2(2(z0))))))), 3'(2(1(0(2(2(z0)))))), 2'(1(0(2(2(z0))))), 1'(0(2(2(z0)))), 0'(2(2(z0))), 2'(2(z0)), 2'(z0))
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   3'(c_3(c_1(c_0(c_2(c_4(c_2(c_3(c_1(c_0(c_2(c_4(c_4(c_4(c_0(c_0(c_2(c_1(c_1(c_2(z0)))))))))))))))))))) -> c83(2'(4(2(3(2(3(4(0(4(2(4(3(1(0(1(2(0(3(2(0(z0)))))))))))))))))))), 4'(2(3(2(3(4(0(4(2(4(3(1(0(1(2(0(3(2(0(z0))))))))))))))))))), 2'(3(2(3(4(0(4(2(4(3(1(0(1(2(0(3(2(0(z0)))))))))))))))))), 3'(2(3(4(0(4(2(4(3(1(0(1(2(0(3(2(0(z0))))))))))))))))), 2'(3(4(0(4(2(4(3(1(0(1(2(0(3(2(0(z0)))))))))))))))), 3'(4(0(4(2(4(3(1(0(1(2(0(3(2(0(z0))))))))))))))), 4'(0(4(2(4(3(1(0(1(2(0(3(2(0(z0)))))))))))))), 0'(4(2(4(3(1(0(1(2(0(3(2(0(z0))))))))))))), 4'(2(4(3(1(0(1(2(0(3(2(0(z0)))))))))))), 2'(4(3(1(0(1(2(0(3(2(0(z0))))))))))), 4'(3(1(0(1(2(0(3(2(0(z0)))))))))), 3'(1(0(1(2(0(3(2(0(z0))))))))), 1'(0(1(2(0(3(2(0(z0)))))))), 0'(1(2(0(3(2(0(z0))))))), 1'(2(0(3(2(0(z0)))))), 2'(0(3(2(0(z0))))), 0'(3(2(0(z0)))), 3'(2(0(z0))), 2'(0(z0)), 0'(z0))
   3'(c_2(c_0(c_3(c_2(c_4(c_4(c_2(c_2(c_2(c_0(c_1(c_2(c_2(c_3(c_4(c_0(c_2(c_4(c_1(z0)))))))))))))))))))) -> c84(0'(0(2(3(0(2(1(2(2(2(3(2(1(3(4(3(4(2(2(2(z0)))))))))))))))))))), 0'(2(3(0(2(1(2(2(2(3(2(1(3(4(3(4(2(2(2(z0))))))))))))))))))), 2'(3(0(2(1(2(2(2(3(2(1(3(4(3(4(2(2(2(z0)))))))))))))))))), 3'(0(2(1(2(2(2(3(2(1(3(4(3(4(2(2(2(z0))))))))))))))))), 0'(2(1(2(2(2(3(2(1(3(4(3(4(2(2(2(z0)))))))))))))))), 2'(1(2(2(2(3(2(1(3(4(3(4(2(2(2(z0))))))))))))))), 1'(2(2(2(3(2(1(3(4(3(4(2(2(2(z0)))))))))))))), 2'(2(2(3(2(1(3(4(3(4(2(2(2(z0))))))))))))), 2'(2(3(2(1(3(4(3(4(2(2(2(z0)))))))))))), 2'(3(2(1(3(4(3(4(2(2(2(z0))))))))))), 3'(2(1(3(4(3(4(2(2(2(z0)))))))))), 2'(1(3(4(3(4(2(2(2(z0))))))))), 1'(3(4(3(4(2(2(2(z0)))))))), 3'(4(3(4(2(2(2(z0))))))), 4'(3(4(2(2(2(z0)))))), 3'(4(2(2(2(z0))))), 4'(2(2(2(z0)))), 2'(2(2(z0))), 2'(2(z0)), 2'(z0))
   3'(c_3(c_3(c_0(c_2(c_0(c_2(c_2(c_1(c_0(c_0(c_4(c_4(c_2(c_0(c_2(c_3(c_0(c_2(c_4(z0)))))))))))))))))))) -> c85(2'(3(3(2(4(3(4(2(3(3(1(0(1(2(4(3(0(3(3(2(z0)))))))))))))))))))), 3'(3(2(4(3(4(2(3(3(1(0(1(2(4(3(0(3(3(2(z0))))))))))))))))))), 3'(2(4(3(4(2(3(3(1(0(1(2(4(3(0(3(3(2(z0)))))))))))))))))), 2'(4(3(4(2(3(3(1(0(1(2(4(3(0(3(3(2(z0))))))))))))))))), 4'(3(4(2(3(3(1(0(1(2(4(3(0(3(3(2(z0)))))))))))))))), 3'(4(2(3(3(1(0(1(2(4(3(0(3(3(2(z0))))))))))))))), 4'(2(3(3(1(0(1(2(4(3(0(3(3(2(z0)))))))))))))), 2'(3(3(1(0(1(2(4(3(0(3(3(2(z0))))))))))))), 3'(3(1(0(1(2(4(3(0(3(3(2(z0)))))))))))), 3'(1(0(1(2(4(3(0(3(3(2(z0))))))))))), 1'(0(1(2(4(3(0(3(3(2(z0)))))))))), 0'(1(2(4(3(0(3(3(2(z0))))))))), 1'(2(4(3(0(3(3(2(z0)))))))), 2'(4(3(0(3(3(2(z0))))))), 4'(3(0(3(3(2(z0)))))), 3'(0(3(3(2(z0))))), 0'(3(3(2(z0)))), 3'(3(2(z0))), 3'(2(z0)), 2'(z0))
   3'(c_0(c_1(c_4(c_3(c_1(c_2(c_0(c_3(c_2(c_3(c_2(c_2(c_0(c_2(c_2(c_3(c_1(c_2(c_2(z0)))))))))))))))))))) -> c86(0'(2(2(3(0(2(0(3(1(3(1(2(2(2(3(2(2(0(4(2(z0)))))))))))))))))))), 2'(2(3(0(2(0(3(1(3(1(2(2(2(3(2(2(0(4(2(z0))))))))))))))))))), 2'(3(0(2(0(3(1(3(1(2(2(2(3(2(2(0(4(2(z0)))))))))))))))))), 3'(0(2(0(3(1(3(1(2(2(2(3(2(2(0(4(2(z0))))))))))))))))), 0'(2(0(3(1(3(1(2(2(2(3(2(2(0(4(2(z0)))))))))))))))), 2'(0(3(1(3(1(2(2(2(3(2(2(0(4(2(z0))))))))))))))), 0'(3(1(3(1(2(2(2(3(2(2(0(4(2(z0)))))))))))))), 3'(1(3(1(2(2(2(3(2(2(0(4(2(z0))))))))))))), 1'(3(1(2(2(2(3(2(2(0(4(2(z0)))))))))))), 3'(1(2(2(2(3(2(2(0(4(2(z0))))))))))), 1'(2(2(2(3(2(2(0(4(2(z0)))))))))), 2'(2(2(3(2(2(0(4(2(z0))))))))), 2'(2(3(2(2(0(4(2(z0)))))))), 2'(3(2(2(0(4(2(z0))))))), 3'(2(2(0(4(2(z0)))))), 2'(2(0(4(2(z0))))), 2'(0(4(2(z0)))), 0'(4(2(z0))), 4'(2(z0)), 2'(z0))
   3'(c_4(c_2(c_1(c_4(c_1(c_0(c_2(c_4(c_3(c_3(c_4(c_3(c_3(c_1(c_2(c_2(c_3(c_3(c_3(z0)))))))))))))))))))) -> c87(4'(2(0(1(2(0(2(0(0(2(1(4(0(3(2(2(3(2(2(4(z0)))))))))))))))))))), 2'(0(1(2(0(2(0(0(2(1(4(0(3(2(2(3(2(2(4(z0))))))))))))))))))), 0'(1(2(0(2(0(0(2(1(4(0(3(2(2(3(2(2(4(z0)))))))))))))))))), 1'(2(0(2(0(0(2(1(4(0(3(2(2(3(2(2(4(z0))))))))))))))))), 2'(0(2(0(0(2(1(4(0(3(2(2(3(2(2(4(z0)))))))))))))))), 0'(2(0(0(2(1(4(0(3(2(2(3(2(2(4(z0))))))))))))))), 2'(0(0(2(1(4(0(3(2(2(3(2(2(4(z0)))))))))))))), 0'(0(2(1(4(0(3(2(2(3(2(2(4(z0))))))))))))), 0'(2(1(4(0(3(2(2(3(2(2(4(z0)))))))))))), 2'(1(4(0(3(2(2(3(2(2(4(z0))))))))))), 1'(4(0(3(2(2(3(2(2(4(z0)))))))))), 4'(0(3(2(2(3(2(2(4(z0))))))))), 0'(3(2(2(3(2(2(4(z0)))))))), 3'(2(2(3(2(2(4(z0))))))), 2'(2(3(2(2(4(z0)))))), 2'(3(2(2(4(z0))))), 3'(2(2(4(z0)))), 2'(2(4(z0))), 2'(4(z0)), 4'(z0))
   3'(c_1(c_0(c_3(c_2(c_2(c_1(c_1(c_4(c_4(c_0(c_2(c_2(c_4(c_3(c_2(c_2(c_3(c_4(c_2(z0)))))))))))))))))))) -> c88(2'(0(4(3(3(2(2(2(4(0(4(3(2(2(2(0(3(0(4(2(z0)))))))))))))))))))), 0'(4(3(3(2(2(2(4(0(4(3(2(2(2(0(3(0(4(2(z0))))))))))))))))))), 4'(3(3(2(2(2(4(0(4(3(2(2(2(0(3(0(4(2(z0)))))))))))))))))), 3'(3(2(2(2(4(0(4(3(2(2(2(0(3(0(4(2(z0))))))))))))))))), 3'(2(2(2(4(0(4(3(2(2(2(0(3(0(4(2(z0)))))))))))))))), 2'(2(2(4(0(4(3(2(2(2(0(3(0(4(2(z0))))))))))))))), 2'(2(4(0(4(3(2(2(2(0(3(0(4(2(z0)))))))))))))), 2'(4(0(4(3(2(2(2(0(3(0(4(2(z0))))))))))))), 4'(0(4(3(2(2(2(0(3(0(4(2(z0)))))))))))), 0'(4(3(2(2(2(0(3(0(4(2(z0))))))))))), 4'(3(2(2(2(0(3(0(4(2(z0)))))))))), 3'(2(2(2(0(3(0(4(2(z0))))))))), 2'(2(2(0(3(0(4(2(z0)))))))), 2'(2(0(3(0(4(2(z0))))))), 2'(0(3(0(4(2(z0)))))), 0'(3(0(4(2(z0))))), 3'(0(4(2(z0)))), 0'(4(2(z0))), 4'(2(z0)), 2'(z0))
   3'(c_0(c_1(c_3(c_2(c_0(c_1(c_3(c_4(c_2(c_3(c_1(c_2(c_2(c_1(c_2(c_3(c_1(c_3(c_1(z0)))))))))))))))))))) -> c89(2'(3(2(3(0(2(1(2(2(4(3(3(3(2(1(0(1(3(2(2(z0)))))))))))))))))))), 3'(2(3(0(2(1(2(2(4(3(3(3(2(1(0(1(3(2(2(z0))))))))))))))))))), 2'(3(0(2(1(2(2(4(3(3(3(2(1(0(1(3(2(2(z0)))))))))))))))))), 3'(0(2(1(2(2(4(3(3(3(2(1(0(1(3(2(2(z0))))))))))))))))), 0'(2(1(2(2(4(3(3(3(2(1(0(1(3(2(2(z0)))))))))))))))), 2'(1(2(2(4(3(3(3(2(1(0(1(3(2(2(z0))))))))))))))), 1'(2(2(4(3(3(3(2(1(0(1(3(2(2(z0)))))))))))))), 2'(2(4(3(3(3(2(1(0(1(3(2(2(z0))))))))))))), 2'(4(3(3(3(2(1(0(1(3(2(2(z0)))))))))))), 4'(3(3(3(2(1(0(1(3(2(2(z0))))))))))), 3'(3(3(2(1(0(1(3(2(2(z0)))))))))), 3'(3(2(1(0(1(3(2(2(z0))))))))), 3'(2(1(0(1(3(2(2(z0)))))))), 2'(1(0(1(3(2(2(z0))))))), 1'(0(1(3(2(2(z0)))))), 0'(1(3(2(2(z0))))), 1'(3(2(2(z0)))), 3'(2(2(z0))), 2'(2(z0)), 2'(z0))
   3'(c_0(c_2(c_4(c_0(c_4(c_0(c_1(c_2(c_1(c_4(c_3(c_0(c_4(c_3(c_0(c_3(c_3(c_3(c_2(z0)))))))))))))))))))) -> c90(1'(0(4(3(1(4(2(3(3(4(3(0(0(2(2(3(4(0(4(2(z0)))))))))))))))))))), 0'(4(3(1(4(2(3(3(4(3(0(0(2(2(3(4(0(4(2(z0))))))))))))))))))), 4'(3(1(4(2(3(3(4(3(0(0(2(2(3(4(0(4(2(z0)))))))))))))))))), 3'(1(4(2(3(3(4(3(0(0(2(2(3(4(0(4(2(z0))))))))))))))))), 1'(4(2(3(3(4(3(0(0(2(2(3(4(0(4(2(z0)))))))))))))))), 4'(2(3(3(4(3(0(0(2(2(3(4(0(4(2(z0))))))))))))))), 2'(3(3(4(3(0(0(2(2(3(4(0(4(2(z0)))))))))))))), 3'(3(4(3(0(0(2(2(3(4(0(4(2(z0))))))))))))), 3'(4(3(0(0(2(2(3(4(0(4(2(z0)))))))))))), 4'(3(0(0(2(2(3(4(0(4(2(z0))))))))))), 3'(0(0(2(2(3(4(0(4(2(z0)))))))))), 0'(0(2(2(3(4(0(4(2(z0))))))))), 0'(2(2(3(4(0(4(2(z0)))))))), 2'(2(3(4(0(4(2(z0))))))), 2'(3(4(0(4(2(z0)))))), 3'(4(0(4(2(z0))))), 4'(0(4(2(z0)))), 0'(4(2(z0))), 4'(2(z0)), 2'(z0))
   3'(c_2(c_0(c_3(c_4(c_4(c_4(c_1(c_0(c_2(c_2(c_1(c_4(c_0(c_0(c_4(c_3(c_2(c_3(c_1(z0)))))))))))))))))))) -> c91(0'(4(0(3(4(2(0(3(1(3(3(1(1(0(3(2(2(3(0(3(z0)))))))))))))))))))), 4'(0(3(4(2(0(3(1(3(3(1(1(0(3(2(2(3(0(3(z0))))))))))))))))))), 0'(3(4(2(0(3(1(3(3(1(1(0(3(2(2(3(0(3(z0)))))))))))))))))), 3'(4(2(0(3(1(3(3(1(1(0(3(2(2(3(0(3(z0))))))))))))))))), 4'(2(0(3(1(3(3(1(1(0(3(2(2(3(0(3(z0)))))))))))))))), 2'(0(3(1(3(3(1(1(0(3(2(2(3(0(3(z0))))))))))))))), 0'(3(1(3(3(1(1(0(3(2(2(3(0(3(z0)))))))))))))), 3'(1(3(3(1(1(0(3(2(2(3(0(3(z0))))))))))))), 1'(3(3(1(1(0(3(2(2(3(0(3(z0)))))))))))), 3'(3(1(1(0(3(2(2(3(0(3(z0))))))))))), 3'(1(1(0(3(2(2(3(0(3(z0)))))))))), 1'(1(0(3(2(2(3(0(3(z0))))))))), 1'(0(3(2(2(3(0(3(z0)))))))), 0'(3(2(2(3(0(3(z0))))))), 3'(2(2(3(0(3(z0)))))), 2'(2(3(0(3(z0))))), 2'(3(0(3(z0)))), 3'(0(3(z0))), 0'(3(z0)), 3'(z0))
   3'(c_0(c_3(c_2(c_0(c_0(c_2(c_2(c_3(c_0(c_0(c_4(c_3(c_4(c_2(c_4(c_2(c_3(c_3(c_3(z0)))))))))))))))))))) -> c92(3'(0(0(1(3(2(2(2(3(3(2(0(1(2(3(3(4(2(2(4(z0)))))))))))))))))))), 0'(0(1(3(2(2(2(3(3(2(0(1(2(3(3(4(2(2(4(z0))))))))))))))))))), 0'(1(3(2(2(2(3(3(2(0(1(2(3(3(4(2(2(4(z0)))))))))))))))))), 1'(3(2(2(2(3(3(2(0(1(2(3(3(4(2(2(4(z0))))))))))))))))), 3'(2(2(2(3(3(2(0(1(2(3(3(4(2(2(4(z0)))))))))))))))), 2'(2(2(3(3(2(0(1(2(3(3(4(2(2(4(z0))))))))))))))), 2'(2(3(3(2(0(1(2(3(3(4(2(2(4(z0)))))))))))))), 2'(3(3(2(0(1(2(3(3(4(2(2(4(z0))))))))))))), 3'(3(2(0(1(2(3(3(4(2(2(4(z0)))))))))))), 3'(2(0(1(2(3(3(4(2(2(4(z0))))))))))), 2'(0(1(2(3(3(4(2(2(4(z0)))))))))), 0'(1(2(3(3(4(2(2(4(z0))))))))), 1'(2(3(3(4(2(2(4(z0)))))))), 2'(3(3(4(2(2(4(z0))))))), 3'(3(4(2(2(4(z0)))))), 3'(4(2(2(4(z0))))), 4'(2(2(4(z0)))), 2'(2(4(z0))), 2'(4(z0)), 4'(z0))
   4'(z0) -> c93
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   4'(c_1(c_2(c_3(c_2(c_0(c_0(c_1(c_0(c_2(c_3(c_1(c_3(c_2(c_3(c_1(c_0(c_1(c_4(c_2(z0)))))))))))))))))))) -> c95(1'(1(1(0(2(3(0(3(3(2(4(3(3(2(0(2(1(2(3(3(z0)))))))))))))))))))), 1'(1(0(2(3(0(3(3(2(4(3(3(2(0(2(1(2(3(3(z0))))))))))))))))))), 1'(0(2(3(0(3(3(2(4(3(3(2(0(2(1(2(3(3(z0)))))))))))))))))), 0'(2(3(0(3(3(2(4(3(3(2(0(2(1(2(3(3(z0))))))))))))))))), 2'(3(0(3(3(2(4(3(3(2(0(2(1(2(3(3(z0)))))))))))))))), 3'(0(3(3(2(4(3(3(2(0(2(1(2(3(3(z0))))))))))))))), 0'(3(3(2(4(3(3(2(0(2(1(2(3(3(z0)))))))))))))), 3'(3(2(4(3(3(2(0(2(1(2(3(3(z0))))))))))))), 3'(2(4(3(3(2(0(2(1(2(3(3(z0)))))))))))), 2'(4(3(3(2(0(2(1(2(3(3(z0))))))))))), 4'(3(3(2(0(2(1(2(3(3(z0)))))))))), 3'(3(2(0(2(1(2(3(3(z0))))))))), 3'(2(0(2(1(2(3(3(z0)))))))), 2'(0(2(1(2(3(3(z0))))))), 0'(2(1(2(3(3(z0)))))), 2'(1(2(3(3(z0))))), 1'(2(3(3(z0)))), 2'(3(3(z0))), 3'(3(z0)), 3'(z0))
   4'(c_3(c_0(c_3(c_4(c_3(c_3(c_0(c_1(c_3(c_2(c_3(c_3(c_4(c_3(c_0(c_0(c_3(c_4(c_2(z0)))))))))))))))))))) -> c96(1'(1(0(4(0(0(0(2(4(0(2(2(3(2(3(3(0(4(3(2(z0)))))))))))))))))))), 1'(0(4(0(0(0(2(4(0(2(2(3(2(3(3(0(4(3(2(z0))))))))))))))))))), 0'(4(0(0(0(2(4(0(2(2(3(2(3(3(0(4(3(2(z0)))))))))))))))))), 4'(0(0(0(2(4(0(2(2(3(2(3(3(0(4(3(2(z0))))))))))))))))), 0'(0(0(2(4(0(2(2(3(2(3(3(0(4(3(2(z0)))))))))))))))), 0'(0(2(4(0(2(2(3(2(3(3(0(4(3(2(z0))))))))))))))), 0'(2(4(0(2(2(3(2(3(3(0(4(3(2(z0)))))))))))))), 2'(4(0(2(2(3(2(3(3(0(4(3(2(z0))))))))))))), 4'(0(2(2(3(2(3(3(0(4(3(2(z0)))))))))))), 0'(2(2(3(2(3(3(0(4(3(2(z0))))))))))), 2'(2(3(2(3(3(0(4(3(2(z0)))))))))), 2'(3(2(3(3(0(4(3(2(z0))))))))), 3'(2(3(3(0(4(3(2(z0)))))))), 2'(3(3(0(4(3(2(z0))))))), 3'(3(0(4(3(2(z0)))))), 3'(0(4(3(2(z0))))), 0'(4(3(2(z0)))), 4'(3(2(z0))), 3'(2(z0)), 2'(z0))
   4'(c_3(c_2(c_0(c_0(c_3(c_4(c_2(c_0(c_3(c_0(c_1(c_0(c_1(c_1(c_4(c_0(c_2(c_2(c_4(z0)))))))))))))))))))) -> c97(4'(1(2(2(4(4(2(1(4(3(2(0(0(0(2(4(1(2(0(3(z0)))))))))))))))))))), 1'(2(2(4(4(2(1(4(3(2(0(0(0(2(4(1(2(0(3(z0))))))))))))))))))), 2'(2(4(4(2(1(4(3(2(0(0(0(2(4(1(2(0(3(z0)))))))))))))))))), 2'(4(4(2(1(4(3(2(0(0(0(2(4(1(2(0(3(z0))))))))))))))))), 4'(4(2(1(4(3(2(0(0(0(2(4(1(2(0(3(z0)))))))))))))))), 4'(2(1(4(3(2(0(0(0(2(4(1(2(0(3(z0))))))))))))))), 2'(1(4(3(2(0(0(0(2(4(1(2(0(3(z0)))))))))))))), 1'(4(3(2(0(0(0(2(4(1(2(0(3(z0))))))))))))), 4'(3(2(0(0(0(2(4(1(2(0(3(z0)))))))))))), 3'(2(0(0(0(2(4(1(2(0(3(z0))))))))))), 2'(0(0(0(2(4(1(2(0(3(z0)))))))))), 0'(0(0(2(4(1(2(0(3(z0))))))))), 0'(0(2(4(1(2(0(3(z0)))))))), 0'(2(4(1(2(0(3(z0))))))), 2'(4(1(2(0(3(z0)))))), 4'(1(2(0(3(z0))))), 1'(2(0(3(z0)))), 2'(0(3(z0))), 0'(3(z0)), 3'(z0))
   4'(c_0(c_3(c_2(c_0(c_3(c_3(c_2(c_3(c_1(c_4(c_3(c_2(c_2(c_3(c_1(c_3(c_1(c_0(c_4(z0)))))))))))))))))))) -> c98(0'(0(0(2(1(3(3(4(2(4(3(3(2(4(2(3(3(0(0(3(z0)))))))))))))))))))), 0'(0(2(1(3(3(4(2(4(3(3(2(4(2(3(3(0(0(3(z0))))))))))))))))))), 0'(2(1(3(3(4(2(4(3(3(2(4(2(3(3(0(0(3(z0)))))))))))))))))), 2'(1(3(3(4(2(4(3(3(2(4(2(3(3(0(0(3(z0))))))))))))))))), 1'(3(3(4(2(4(3(3(2(4(2(3(3(0(0(3(z0)))))))))))))))), 3'(3(4(2(4(3(3(2(4(2(3(3(0(0(3(z0))))))))))))))), 3'(4(2(4(3(3(2(4(2(3(3(0(0(3(z0)))))))))))))), 4'(2(4(3(3(2(4(2(3(3(0(0(3(z0))))))))))))), 2'(4(3(3(2(4(2(3(3(0(0(3(z0)))))))))))), 4'(3(3(2(4(2(3(3(0(0(3(z0))))))))))), 3'(3(2(4(2(3(3(0(0(3(z0)))))))))), 3'(2(4(2(3(3(0(0(3(z0))))))))), 2'(4(2(3(3(0(0(3(z0)))))))), 4'(2(3(3(0(0(3(z0))))))), 2'(3(3(0(0(3(z0)))))), 3'(3(0(0(3(z0))))), 3'(0(0(3(z0)))), 0'(0(3(z0))), 0'(3(z0)), 3'(z0))
   4'(c_4(c_0(c_3(c_0(c_1(c_3(c_2(c_2(c_2(c_3(c_1(c_0(c_2(c_3(c_3(c_0(c_2(c_4(c_4(z0)))))))))))))))))))) -> c99(2'(1(3(2(2(2(4(0(3(2(2(2(2(2(0(3(0(2(0(3(z0)))))))))))))))))))), 1'(3(2(2(2(4(0(3(2(2(2(2(2(0(3(0(2(0(3(z0))))))))))))))))))), 3'(2(2(2(4(0(3(2(2(2(2(2(0(3(0(2(0(3(z0)))))))))))))))))), 2'(2(2(4(0(3(2(2(2(2(2(0(3(0(2(0(3(z0))))))))))))))))), 2'(2(4(0(3(2(2(2(2(2(0(3(0(2(0(3(z0)))))))))))))))), 2'(4(0(3(2(2(2(2(2(0(3(0(2(0(3(z0))))))))))))))), 4'(0(3(2(2(2(2(2(0(3(0(2(0(3(z0)))))))))))))), 0'(3(2(2(2(2(2(0(3(0(2(0(3(z0))))))))))))), 3'(2(2(2(2(2(0(3(0(2(0(3(z0)))))))))))), 2'(2(2(2(2(0(3(0(2(0(3(z0))))))))))), 2'(2(2(2(0(3(0(2(0(3(z0)))))))))), 2'(2(2(0(3(0(2(0(3(z0))))))))), 2'(2(0(3(0(2(0(3(z0)))))))), 2'(0(3(0(2(0(3(z0))))))), 0'(3(0(2(0(3(z0)))))), 3'(0(2(0(3(z0))))), 0'(2(0(3(z0)))), 2'(0(3(z0))), 0'(3(z0)), 3'(z0))
   4'(c_4(c_4(c_4(c_3(c_2(c_0(c_3(c_2(c_4(c_2(c_4(c_1(c_2(c_1(c_4(c_2(c_3(c_0(c_0(z0)))))))))))))))))))) -> c100(3'(4(2(3(3(2(2(1(3(4(2(3(1(4(4(3(1(1(3(3(z0)))))))))))))))))))), 4'(2(3(3(2(2(1(3(4(2(3(1(4(4(3(1(1(3(3(z0))))))))))))))))))), 2'(3(3(2(2(1(3(4(2(3(1(4(4(3(1(1(3(3(z0)))))))))))))))))), 3'(3(2(2(1(3(4(2(3(1(4(4(3(1(1(3(3(z0))))))))))))))))), 3'(2(2(1(3(4(2(3(1(4(4(3(1(1(3(3(z0)))))))))))))))), 2'(2(1(3(4(2(3(1(4(4(3(1(1(3(3(z0))))))))))))))), 2'(1(3(4(2(3(1(4(4(3(1(1(3(3(z0)))))))))))))), 1'(3(4(2(3(1(4(4(3(1(1(3(3(z0))))))))))))), 3'(4(2(3(1(4(4(3(1(1(3(3(z0)))))))))))), 4'(2(3(1(4(4(3(1(1(3(3(z0))))))))))), 2'(3(1(4(4(3(1(1(3(3(z0)))))))))), 3'(1(4(4(3(1(1(3(3(z0))))))))), 1'(4(4(3(1(1(3(3(z0)))))))), 4'(4(3(1(1(3(3(z0))))))), 4'(3(1(1(3(3(z0)))))), 3'(1(1(3(3(z0))))), 1'(1(3(3(z0)))), 1'(3(3(z0))), 3'(3(z0)), 3'(z0))
   4'(c_0(c_2(c_3(c_1(c_1(c_2(c_3(c_1(c_1(c_2(c_0(c_4(c_3(c_0(c_2(c_3(c_2(c_3(c_3(z0)))))))))))))))))))) -> c101(2'(2(4(2(2(3(0(2(4(2(3(1(3(2(2(3(4(1(0(2(z0)))))))))))))))))))), 2'(4(2(2(3(0(2(4(2(3(1(3(2(2(3(4(1(0(2(z0))))))))))))))))))), 4'(2(2(3(0(2(4(2(3(1(3(2(2(3(4(1(0(2(z0)))))))))))))))))), 2'(2(3(0(2(4(2(3(1(3(2(2(3(4(1(0(2(z0))))))))))))))))), 2'(3(0(2(4(2(3(1(3(2(2(3(4(1(0(2(z0)))))))))))))))), 3'(0(2(4(2(3(1(3(2(2(3(4(1(0(2(z0))))))))))))))), 0'(2(4(2(3(1(3(2(2(3(4(1(0(2(z0)))))))))))))), 2'(4(2(3(1(3(2(2(3(4(1(0(2(z0))))))))))))), 4'(2(3(1(3(2(2(3(4(1(0(2(z0)))))))))))), 2'(3(1(3(2(2(3(4(1(0(2(z0))))))))))), 3'(1(3(2(2(3(4(1(0(2(z0)))))))))), 1'(3(2(2(3(4(1(0(2(z0))))))))), 3'(2(2(3(4(1(0(2(z0)))))))), 2'(2(3(4(1(0(2(z0))))))), 2'(3(4(1(0(2(z0)))))), 3'(4(1(0(2(z0))))), 4'(1(0(2(z0)))), 1'(0(2(z0))), 0'(2(z0)), 2'(z0))
   4'(c_3(c_0(c_3(c_2(c_0(c_2(c_2(c_3(c_1(c_0(c_2(c_0(c_0(c_2(c_3(c_1(c_3(c_4(c_4(z0)))))))))))))))))))) -> c102(1'(4(0(3(3(2(2(2(0(2(3(1(2(3(3(0(3(1(0(1(z0)))))))))))))))))))), 4'(0(3(3(2(2(2(0(2(3(1(2(3(3(0(3(1(0(1(z0))))))))))))))))))), 0'(3(3(2(2(2(0(2(3(1(2(3(3(0(3(1(0(1(z0)))))))))))))))))), 3'(3(2(2(2(0(2(3(1(2(3(3(0(3(1(0(1(z0))))))))))))))))), 3'(2(2(2(0(2(3(1(2(3(3(0(3(1(0(1(z0)))))))))))))))), 2'(2(2(0(2(3(1(2(3(3(0(3(1(0(1(z0))))))))))))))), 2'(2(0(2(3(1(2(3(3(0(3(1(0(1(z0)))))))))))))), 2'(0(2(3(1(2(3(3(0(3(1(0(1(z0))))))))))))), 0'(2(3(1(2(3(3(0(3(1(0(1(z0)))))))))))), 2'(3(1(2(3(3(0(3(1(0(1(z0))))))))))), 3'(1(2(3(3(0(3(1(0(1(z0)))))))))), 1'(2(3(3(0(3(1(0(1(z0))))))))), 2'(3(3(0(3(1(0(1(z0)))))))), 3'(3(0(3(1(0(1(z0))))))), 3'(0(3(1(0(1(z0)))))), 0'(3(1(0(1(z0))))), 3'(1(0(1(z0)))), 1'(0(1(z0))), 0'(1(z0)), 1'(z0))
   4'(c_2(c_4(c_0(c_2(c_3(c_1(c_0(c_2(c_1(c_2(c_2(c_4(c_1(c_4(c_3(c_1(c_0(c_3(c_2(z0)))))))))))))))))))) -> c103(1'(3(0(2(3(2(0(0(0(3(3(2(4(4(3(3(2(4(3(0(z0)))))))))))))))))))), 3'(0(2(3(2(0(0(0(3(3(2(4(4(3(3(2(4(3(0(z0))))))))))))))))))), 0'(2(3(2(0(0(0(3(3(2(4(4(3(3(2(4(3(0(z0)))))))))))))))))), 2'(3(2(0(0(0(3(3(2(4(4(3(3(2(4(3(0(z0))))))))))))))))), 3'(2(0(0(0(3(3(2(4(4(3(3(2(4(3(0(z0)))))))))))))))), 2'(0(0(0(3(3(2(4(4(3(3(2(4(3(0(z0))))))))))))))), 0'(0(0(3(3(2(4(4(3(3(2(4(3(0(z0)))))))))))))), 0'(0(3(3(2(4(4(3(3(2(4(3(0(z0))))))))))))), 0'(3(3(2(4(4(3(3(2(4(3(0(z0)))))))))))), 3'(3(2(4(4(3(3(2(4(3(0(z0))))))))))), 3'(2(4(4(3(3(2(4(3(0(z0)))))))))), 2'(4(4(3(3(2(4(3(0(z0))))))))), 4'(4(3(3(2(4(3(0(z0)))))))), 4'(3(3(2(4(3(0(z0))))))), 3'(3(2(4(3(0(z0)))))), 3'(2(4(3(0(z0))))), 2'(4(3(0(z0)))), 4'(3(0(z0))), 3'(0(z0)), 0'(z0))
   4'(c_2(c_3(c_2(c_2(c_0(c_0(c_4(c_0(c_2(c_0(c_1(c_3(c_0(c_2(c_1(c_0(c_1(c_2(c_4(z0)))))))))))))))))))) -> c104(1'(0(2(0(4(3(4(3(0(3(2(2(4(0(2(1(2(2(4(2(z0)))))))))))))))))))), 0'(2(0(4(3(4(3(0(3(2(2(4(0(2(1(2(2(4(2(z0))))))))))))))))))), 2'(0(4(3(4(3(0(3(2(2(4(0(2(1(2(2(4(2(z0)))))))))))))))))), 0'(4(3(4(3(0(3(2(2(4(0(2(1(2(2(4(2(z0))))))))))))))))), 4'(3(4(3(0(3(2(2(4(0(2(1(2(2(4(2(z0)))))))))))))))), 3'(4(3(0(3(2(2(4(0(2(1(2(2(4(2(z0))))))))))))))), 4'(3(0(3(2(2(4(0(2(1(2(2(4(2(z0)))))))))))))), 3'(0(3(2(2(4(0(2(1(2(2(4(2(z0))))))))))))), 0'(3(2(2(4(0(2(1(2(2(4(2(z0)))))))))))), 3'(2(2(4(0(2(1(2(2(4(2(z0))))))))))), 2'(2(4(0(2(1(2(2(4(2(z0)))))))))), 2'(4(0(2(1(2(2(4(2(z0))))))))), 4'(0(2(1(2(2(4(2(z0)))))))), 0'(2(1(2(2(4(2(z0))))))), 2'(1(2(2(4(2(z0)))))), 1'(2(2(4(2(z0))))), 2'(2(4(2(z0)))), 2'(4(2(z0))), 4'(2(z0)), 2'(z0))
   4'(c_4(c_0(c_3(c_0(c_4(c_2(c_4(c_2(c_3(c_0(c_2(c_2(c_0(c_4(c_3(c_3(c_4(c_2(c_2(z0)))))))))))))))))))) -> c105(2'(3(3(1(0(2(2(3(1(4(0(0(1(2(2(0(4(4(2(2(z0)))))))))))))))))))), 3'(3(1(0(2(2(3(1(4(0(0(1(2(2(0(4(4(2(2(z0))))))))))))))))))), 3'(1(0(2(2(3(1(4(0(0(1(2(2(0(4(4(2(2(z0)))))))))))))))))), 1'(0(2(2(3(1(4(0(0(1(2(2(0(4(4(2(2(z0))))))))))))))))), 0'(2(2(3(1(4(0(0(1(2(2(0(4(4(2(2(z0)))))))))))))))), 2'(2(3(1(4(0(0(1(2(2(0(4(4(2(2(z0))))))))))))))), 2'(3(1(4(0(0(1(2(2(0(4(4(2(2(z0)))))))))))))), 3'(1(4(0(0(1(2(2(0(4(4(2(2(z0))))))))))))), 1'(4(0(0(1(2(2(0(4(4(2(2(z0)))))))))))), 4'(0(0(1(2(2(0(4(4(2(2(z0))))))))))), 0'(0(1(2(2(0(4(4(2(2(z0)))))))))), 0'(1(2(2(0(4(4(2(2(z0))))))))), 1'(2(2(0(4(4(2(2(z0)))))))), 2'(2(0(4(4(2(2(z0))))))), 2'(0(4(4(2(2(z0)))))), 0'(4(4(2(2(z0))))), 4'(4(2(2(z0)))), 4'(2(2(z0))), 2'(2(z0)), 2'(z0))
   4'(c_0(c_0(c_0(c_0(c_4(c_2(c_1(c_1(c_1(c_1(c_3(c_2(c_4(c_0(c_0(c_3(c_2(c_4(c_1(z0)))))))))))))))))))) -> c106(2'(1(2(2(0(2(4(3(1(0(4(1(4(0(3(4(1(3(4(4(z0)))))))))))))))))))), 1'(2(2(0(2(4(3(1(0(4(1(4(0(3(4(1(3(4(4(z0))))))))))))))))))), 2'(2(0(2(4(3(1(0(4(1(4(0(3(4(1(3(4(4(z0)))))))))))))))))), 2'(0(2(4(3(1(0(4(1(4(0(3(4(1(3(4(4(z0))))))))))))))))), 0'(2(4(3(1(0(4(1(4(0(3(4(1(3(4(4(z0)))))))))))))))), 2'(4(3(1(0(4(1(4(0(3(4(1(3(4(4(z0))))))))))))))), 4'(3(1(0(4(1(4(0(3(4(1(3(4(4(z0)))))))))))))), 3'(1(0(4(1(4(0(3(4(1(3(4(4(z0))))))))))))), 1'(0(4(1(4(0(3(4(1(3(4(4(z0)))))))))))), 0'(4(1(4(0(3(4(1(3(4(4(z0))))))))))), 4'(1(4(0(3(4(1(3(4(4(z0)))))))))), 1'(4(0(3(4(1(3(4(4(z0))))))))), 4'(0(3(4(1(3(4(4(z0)))))))), 0'(3(4(1(3(4(4(z0))))))), 3'(4(1(3(4(4(z0)))))), 4'(1(3(4(4(z0))))), 1'(3(4(4(z0)))), 3'(4(4(z0))), 4'(4(z0)), 4'(z0))
   4'(c_4(c_2(c_2(c_0(c_0(c_3(c_0(c_3(c_1(c_2(c_3(c_3(c_1(c_2(c_2(c_2(c_4(c_4(c_4(z0)))))))))))))))))))) -> c107(4'(2(3(0(2(2(0(2(2(4(3(1(1(4(4(2(4(2(3(3(z0)))))))))))))))))))), 2'(3(0(2(2(0(2(2(4(3(1(1(4(4(2(4(2(3(3(z0))))))))))))))))))), 3'(0(2(2(0(2(2(4(3(1(1(4(4(2(4(2(3(3(z0)))))))))))))))))), 0'(2(2(0(2(2(4(3(1(1(4(4(2(4(2(3(3(z0))))))))))))))))), 2'(2(0(2(2(4(3(1(1(4(4(2(4(2(3(3(z0)))))))))))))))), 2'(0(2(2(4(3(1(1(4(4(2(4(2(3(3(z0))))))))))))))), 0'(2(2(4(3(1(1(4(4(2(4(2(3(3(z0)))))))))))))), 2'(2(4(3(1(1(4(4(2(4(2(3(3(z0))))))))))))), 2'(4(3(1(1(4(4(2(4(2(3(3(z0)))))))))))), 4'(3(1(1(4(4(2(4(2(3(3(z0))))))))))), 3'(1(1(4(4(2(4(2(3(3(z0)))))))))), 1'(1(4(4(2(4(2(3(3(z0))))))))), 1'(4(4(2(4(2(3(3(z0)))))))), 4'(4(2(4(2(3(3(z0))))))), 4'(2(4(2(3(3(z0)))))), 2'(4(2(3(3(z0))))), 4'(2(3(3(z0)))), 2'(3(3(z0))), 3'(3(z0)), 3'(z0))
   4'(c_2(c_3(c_0(c_2(c_2(c_4(c_0(c_0(c_3(c_1(c_2(c_0(c_4(c_2(c_0(c_2(c_3(c_3(c_0(z0)))))))))))))))))))) -> c108(2'(2(2(2(4(0(3(0(4(1(2(2(1(3(3(2(0(3(1(0(z0)))))))))))))))))))), 2'(2(2(4(0(3(0(4(1(2(2(1(3(3(2(0(3(1(0(z0))))))))))))))))))), 2'(2(4(0(3(0(4(1(2(2(1(3(3(2(0(3(1(0(z0)))))))))))))))))), 2'(4(0(3(0(4(1(2(2(1(3(3(2(0(3(1(0(z0))))))))))))))))), 4'(0(3(0(4(1(2(2(1(3(3(2(0(3(1(0(z0)))))))))))))))), 0'(3(0(4(1(2(2(1(3(3(2(0(3(1(0(z0))))))))))))))), 3'(0(4(1(2(2(1(3(3(2(0(3(1(0(z0)))))))))))))), 0'(4(1(2(2(1(3(3(2(0(3(1(0(z0))))))))))))), 4'(1(2(2(1(3(3(2(0(3(1(0(z0)))))))))))), 1'(2(2(1(3(3(2(0(3(1(0(z0))))))))))), 2'(2(1(3(3(2(0(3(1(0(z0)))))))))), 2'(1(3(3(2(0(3(1(0(z0))))))))), 1'(3(3(2(0(3(1(0(z0)))))))), 3'(3(2(0(3(1(0(z0))))))), 3'(2(0(3(1(0(z0)))))), 2'(0(3(1(0(z0))))), 0'(3(1(0(z0)))), 3'(1(0(z0))), 1'(0(z0)), 0'(z0))
   4'(c_1(c_1(c_1(c_4(c_2(c_4(c_2(c_0(c_2(c_3(c_3(c_1(c_3(c_0(c_2(c_2(c_0(c_0(c_3(z0)))))))))))))))))))) -> c109(0'(4(2(1(2(2(2(0(4(2(3(3(0(2(1(4(0(1(4(2(z0)))))))))))))))))))), 4'(2(1(2(2(2(0(4(2(3(3(0(2(1(4(0(1(4(2(z0))))))))))))))))))), 2'(1(2(2(2(0(4(2(3(3(0(2(1(4(0(1(4(2(z0)))))))))))))))))), 1'(2(2(2(0(4(2(3(3(0(2(1(4(0(1(4(2(z0))))))))))))))))), 2'(2(2(0(4(2(3(3(0(2(1(4(0(1(4(2(z0)))))))))))))))), 2'(2(0(4(2(3(3(0(2(1(4(0(1(4(2(z0))))))))))))))), 2'(0(4(2(3(3(0(2(1(4(0(1(4(2(z0)))))))))))))), 0'(4(2(3(3(0(2(1(4(0(1(4(2(z0))))))))))))), 4'(2(3(3(0(2(1(4(0(1(4(2(z0)))))))))))), 2'(3(3(0(2(1(4(0(1(4(2(z0))))))))))), 3'(3(0(2(1(4(0(1(4(2(z0)))))))))), 3'(0(2(1(4(0(1(4(2(z0))))))))), 0'(2(1(4(0(1(4(2(z0)))))))), 2'(1(4(0(1(4(2(z0))))))), 1'(4(0(1(4(2(z0)))))), 4'(0(1(4(2(z0))))), 0'(1(4(2(z0)))), 1'(4(2(z0))), 4'(2(z0)), 2'(z0))
   4'(c_0(c_2(c_2(c_4(c_3(c_1(c_3(c_4(c_0(c_0(c_0(c_2(c_2(c_2(c_3(c_0(c_4(c_2(c_4(z0)))))))))))))))))))) -> c110(2'(1(3(3(4(4(1(0(3(2(2(3(0(0(4(3(3(4(2(2(z0)))))))))))))))))))), 1'(3(3(4(4(1(0(3(2(2(3(0(0(4(3(3(4(2(2(z0))))))))))))))))))), 3'(3(4(4(1(0(3(2(2(3(0(0(4(3(3(4(2(2(z0)))))))))))))))))), 3'(4(4(1(0(3(2(2(3(0(0(4(3(3(4(2(2(z0))))))))))))))))), 4'(4(1(0(3(2(2(3(0(0(4(3(3(4(2(2(z0)))))))))))))))), 4'(1(0(3(2(2(3(0(0(4(3(3(4(2(2(z0))))))))))))))), 1'(0(3(2(2(3(0(0(4(3(3(4(2(2(z0)))))))))))))), 0'(3(2(2(3(0(0(4(3(3(4(2(2(z0))))))))))))), 3'(2(2(3(0(0(4(3(3(4(2(2(z0)))))))))))), 2'(2(3(0(0(4(3(3(4(2(2(z0))))))))))), 2'(3(0(0(4(3(3(4(2(2(z0)))))))))), 3'(0(0(4(3(3(4(2(2(z0))))))))), 0'(0(4(3(3(4(2(2(z0)))))))), 0'(4(3(3(4(2(2(z0))))))), 4'(3(3(4(2(2(z0)))))), 3'(3(4(2(2(z0))))), 3'(4(2(2(z0)))), 4'(2(2(z0))), 2'(2(z0)), 2'(z0))
   4'(c_3(c_3(c_3(c_0(c_2(c_1(c_2(c_2(c_3(c_2(c_0(c_1(c_1(c_4(c_1(c_3(c_4(c_2(c_4(z0)))))))))))))))))))) -> c111(3'(4(1(3(3(2(1(2(1(1(0(2(2(0(0(1(1(2(3(2(z0)))))))))))))))))))), 4'(1(3(3(2(1(2(1(1(0(2(2(0(0(1(1(2(3(2(z0))))))))))))))))))), 1'(3(3(2(1(2(1(1(0(2(2(0(0(1(1(2(3(2(z0)))))))))))))))))), 3'(3(2(1(2(1(1(0(2(2(0(0(1(1(2(3(2(z0))))))))))))))))), 3'(2(1(2(1(1(0(2(2(0(0(1(1(2(3(2(z0)))))))))))))))), 2'(1(2(1(1(0(2(2(0(0(1(1(2(3(2(z0))))))))))))))), 1'(2(1(1(0(2(2(0(0(1(1(2(3(2(z0)))))))))))))), 2'(1(1(0(2(2(0(0(1(1(2(3(2(z0))))))))))))), 1'(1(0(2(2(0(0(1(1(2(3(2(z0)))))))))))), 1'(0(2(2(0(0(1(1(2(3(2(z0))))))))))), 0'(2(2(0(0(1(1(2(3(2(z0)))))))))), 2'(2(0(0(1(1(2(3(2(z0))))))))), 2'(0(0(1(1(2(3(2(z0)))))))), 0'(0(1(1(2(3(2(z0))))))), 0'(1(1(2(3(2(z0)))))), 1'(1(2(3(2(z0))))), 1'(2(3(2(z0)))), 2'(3(2(z0))), 3'(2(z0)), 2'(z0))
   4'(c_4(c_4(c_1(c_3(c_3(c_4(c_4(c_2(c_2(c_0(c_1(c_0(c_2(c_4(c_3(c_2(c_2(c_0(c_2(z0)))))))))))))))))))) -> c112(4'(3(2(3(2(2(0(0(1(3(4(2(2(2(4(4(1(2(0(2(z0)))))))))))))))))))), 3'(2(3(2(2(0(0(1(3(4(2(2(2(4(4(1(2(0(2(z0))))))))))))))))))), 2'(3(2(2(0(0(1(3(4(2(2(2(4(4(1(2(0(2(z0)))))))))))))))))), 3'(2(2(0(0(1(3(4(2(2(2(4(4(1(2(0(2(z0))))))))))))))))), 2'(2(0(0(1(3(4(2(2(2(4(4(1(2(0(2(z0)))))))))))))))), 2'(0(0(1(3(4(2(2(2(4(4(1(2(0(2(z0))))))))))))))), 0'(0(1(3(4(2(2(2(4(4(1(2(0(2(z0)))))))))))))), 0'(1(3(4(2(2(2(4(4(1(2(0(2(z0))))))))))))), 1'(3(4(2(2(2(4(4(1(2(0(2(z0)))))))))))), 3'(4(2(2(2(4(4(1(2(0(2(z0))))))))))), 4'(2(2(2(4(4(1(2(0(2(z0)))))))))), 2'(2(2(4(4(1(2(0(2(z0))))))))), 2'(2(4(4(1(2(0(2(z0)))))))), 2'(4(4(1(2(0(2(z0))))))), 4'(4(1(2(0(2(z0)))))), 4'(1(2(0(2(z0))))), 1'(2(0(2(z0)))), 2'(0(2(z0))), 0'(2(z0)), 2'(z0))
   4'(c_0(c_4(c_2(c_2(c_3(c_3(c_2(c_2(c_1(c_2(c_1(c_0(c_1(c_0(c_3(c_2(c_1(c_2(c_0(z0)))))))))))))))))))) -> c113(1'(1(2(2(0(0(4(4(2(3(3(3(2(2(2(0(3(0(0(2(z0)))))))))))))))))))), 1'(2(2(0(0(4(4(2(3(3(3(2(2(2(0(3(0(0(2(z0))))))))))))))))))), 2'(2(0(0(4(4(2(3(3(3(2(2(2(0(3(0(0(2(z0)))))))))))))))))), 2'(0(0(4(4(2(3(3(3(2(2(2(0(3(0(0(2(z0))))))))))))))))), 0'(0(4(4(2(3(3(3(2(2(2(0(3(0(0(2(z0)))))))))))))))), 0'(4(4(2(3(3(3(2(2(2(0(3(0(0(2(z0))))))))))))))), 4'(4(2(3(3(3(2(2(2(0(3(0(0(2(z0)))))))))))))), 4'(2(3(3(3(2(2(2(0(3(0(0(2(z0))))))))))))), 2'(3(3(3(2(2(2(0(3(0(0(2(z0)))))))))))), 3'(3(3(2(2(2(0(3(0(0(2(z0))))))))))), 3'(3(2(2(2(0(3(0(0(2(z0)))))))))), 3'(2(2(2(0(3(0(0(2(z0))))))))), 2'(2(2(0(3(0(0(2(z0)))))))), 2'(2(0(3(0(0(2(z0))))))), 2'(0(3(0(0(2(z0)))))), 0'(3(0(0(2(z0))))), 3'(0(0(2(z0)))), 0'(0(2(z0))), 0'(2(z0)), 2'(z0))
S tuples:
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   4'(c_2(c_3(c_2(c_2(c_0(c_0(c_4(c_0(c_2(c_0(c_1(c_3(c_0(c_2(c_1(c_0(c_1(c_2(c_4(z0)))))))))))))))))))) -> c104(1'(0(2(0(4(3(4(3(0(3(2(2(4(0(2(1(2(2(4(2(z0)))))))))))))))))))), 0'(2(0(4(3(4(3(0(3(2(2(4(0(2(1(2(2(4(2(z0))))))))))))))))))), 2'(0(4(3(4(3(0(3(2(2(4(0(2(1(2(2(4(2(z0)))))))))))))))))), 0'(4(3(4(3(0(3(2(2(4(0(2(1(2(2(4(2(z0))))))))))))))))), 4'(3(4(3(0(3(2(2(4(0(2(1(2(2(4(2(z0)))))))))))))))), 3'(4(3(0(3(2(2(4(0(2(1(2(2(4(2(z0))))))))))))))), 4'(3(0(3(2(2(4(0(2(1(2(2(4(2(z0)))))))))))))), 3'(0(3(2(2(4(0(2(1(2(2(4(2(z0))))))))))))), 0'(3(2(2(4(0(2(1(2(2(4(2(z0)))))))))))), 3'(2(2(4(0(2(1(2(2(4(2(z0))))))))))), 2'(2(4(0(2(1(2(2(4(2(z0)))))))))), 2'(4(0(2(1(2(2(4(2(z0))))))))), 4'(0(2(1(2(2(4(2(z0)))))))), 0'(2(1(2(2(4(2(z0))))))), 2'(1(2(2(4(2(z0)))))), 1'(2(2(4(2(z0))))), 2'(2(4(2(z0)))), 2'(4(2(z0))), 4'(2(z0)), 2'(z0))
   4'(c_4(c_0(c_3(c_0(c_4(c_2(c_4(c_2(c_3(c_0(c_2(c_2(c_0(c_4(c_3(c_3(c_4(c_2(c_2(z0)))))))))))))))))))) -> c105(2'(3(3(1(0(2(2(3(1(4(0(0(1(2(2(0(4(4(2(2(z0)))))))))))))))))))), 3'(3(1(0(2(2(3(1(4(0(0(1(2(2(0(4(4(2(2(z0))))))))))))))))))), 3'(1(0(2(2(3(1(4(0(0(1(2(2(0(4(4(2(2(z0)))))))))))))))))), 1'(0(2(2(3(1(4(0(0(1(2(2(0(4(4(2(2(z0))))))))))))))))), 0'(2(2(3(1(4(0(0(1(2(2(0(4(4(2(2(z0)))))))))))))))), 2'(2(3(1(4(0(0(1(2(2(0(4(4(2(2(z0))))))))))))))), 2'(3(1(4(0(0(1(2(2(0(4(4(2(2(z0)))))))))))))), 3'(1(4(0(0(1(2(2(0(4(4(2(2(z0))))))))))))), 1'(4(0(0(1(2(2(0(4(4(2(2(z0)))))))))))), 4'(0(0(1(2(2(0(4(4(2(2(z0))))))))))), 0'(0(1(2(2(0(4(4(2(2(z0)))))))))), 0'(1(2(2(0(4(4(2(2(z0))))))))), 1'(2(2(0(4(4(2(2(z0)))))))), 2'(2(0(4(4(2(2(z0))))))), 2'(0(4(4(2(2(z0)))))), 0'(4(4(2(2(z0))))), 4'(4(2(2(z0)))), 4'(2(2(z0))), 2'(2(z0)), 2'(z0))
   4'(c_0(c_0(c_0(c_0(c_4(c_2(c_1(c_1(c_1(c_1(c_3(c_2(c_4(c_0(c_0(c_3(c_2(c_4(c_1(z0)))))))))))))))))))) -> c106(2'(1(2(2(0(2(4(3(1(0(4(1(4(0(3(4(1(3(4(4(z0)))))))))))))))))))), 1'(2(2(0(2(4(3(1(0(4(1(4(0(3(4(1(3(4(4(z0))))))))))))))))))), 2'(2(0(2(4(3(1(0(4(1(4(0(3(4(1(3(4(4(z0)))))))))))))))))), 2'(0(2(4(3(1(0(4(1(4(0(3(4(1(3(4(4(z0))))))))))))))))), 0'(2(4(3(1(0(4(1(4(0(3(4(1(3(4(4(z0)))))))))))))))), 2'(4(3(1(0(4(1(4(0(3(4(1(3(4(4(z0))))))))))))))), 4'(3(1(0(4(1(4(0(3(4(1(3(4(4(z0)))))))))))))), 3'(1(0(4(1(4(0(3(4(1(3(4(4(z0))))))))))))), 1'(0(4(1(4(0(3(4(1(3(4(4(z0)))))))))))), 0'(4(1(4(0(3(4(1(3(4(4(z0))))))))))), 4'(1(4(0(3(4(1(3(4(4(z0)))))))))), 1'(4(0(3(4(1(3(4(4(z0))))))))), 4'(0(3(4(1(3(4(4(z0)))))))), 0'(3(4(1(3(4(4(z0))))))), 3'(4(1(3(4(4(z0)))))), 4'(1(3(4(4(z0))))), 1'(3(4(4(z0)))), 3'(4(4(z0))), 4'(4(z0)), 4'(z0))
   4'(c_4(c_2(c_2(c_0(c_0(c_3(c_0(c_3(c_1(c_2(c_3(c_3(c_1(c_2(c_2(c_2(c_4(c_4(c_4(z0)))))))))))))))))))) -> c107(4'(2(3(0(2(2(0(2(2(4(3(1(1(4(4(2(4(2(3(3(z0)))))))))))))))))))), 2'(3(0(2(2(0(2(2(4(3(1(1(4(4(2(4(2(3(3(z0))))))))))))))))))), 3'(0(2(2(0(2(2(4(3(1(1(4(4(2(4(2(3(3(z0)))))))))))))))))), 0'(2(2(0(2(2(4(3(1(1(4(4(2(4(2(3(3(z0))))))))))))))))), 2'(2(0(2(2(4(3(1(1(4(4(2(4(2(3(3(z0)))))))))))))))), 2'(0(2(2(4(3(1(1(4(4(2(4(2(3(3(z0))))))))))))))), 0'(2(2(4(3(1(1(4(4(2(4(2(3(3(z0)))))))))))))), 2'(2(4(3(1(1(4(4(2(4(2(3(3(z0))))))))))))), 2'(4(3(1(1(4(4(2(4(2(3(3(z0)))))))))))), 4'(3(1(1(4(4(2(4(2(3(3(z0))))))))))), 3'(1(1(4(4(2(4(2(3(3(z0)))))))))), 1'(1(4(4(2(4(2(3(3(z0))))))))), 1'(4(4(2(4(2(3(3(z0)))))))), 4'(4(2(4(2(3(3(z0))))))), 4'(2(4(2(3(3(z0)))))), 2'(4(2(3(3(z0))))), 4'(2(3(3(z0)))), 2'(3(3(z0))), 3'(3(z0)), 3'(z0))
   4'(c_2(c_3(c_0(c_2(c_2(c_4(c_0(c_0(c_3(c_1(c_2(c_0(c_4(c_2(c_0(c_2(c_3(c_3(c_0(z0)))))))))))))))))))) -> c108(2'(2(2(2(4(0(3(0(4(1(2(2(1(3(3(2(0(3(1(0(z0)))))))))))))))))))), 2'(2(2(4(0(3(0(4(1(2(2(1(3(3(2(0(3(1(0(z0))))))))))))))))))), 2'(2(4(0(3(0(4(1(2(2(1(3(3(2(0(3(1(0(z0)))))))))))))))))), 2'(4(0(3(0(4(1(2(2(1(3(3(2(0(3(1(0(z0))))))))))))))))), 4'(0(3(0(4(1(2(2(1(3(3(2(0(3(1(0(z0)))))))))))))))), 0'(3(0(4(1(2(2(1(3(3(2(0(3(1(0(z0))))))))))))))), 3'(0(4(1(2(2(1(3(3(2(0(3(1(0(z0)))))))))))))), 0'(4(1(2(2(1(3(3(2(0(3(1(0(z0))))))))))))), 4'(1(2(2(1(3(3(2(0(3(1(0(z0)))))))))))), 1'(2(2(1(3(3(2(0(3(1(0(z0))))))))))), 2'(2(1(3(3(2(0(3(1(0(z0)))))))))), 2'(1(3(3(2(0(3(1(0(z0))))))))), 1'(3(3(2(0(3(1(0(z0)))))))), 3'(3(2(0(3(1(0(z0))))))), 3'(2(0(3(1(0(z0)))))), 2'(0(3(1(0(z0))))), 0'(3(1(0(z0)))), 3'(1(0(z0))), 1'(0(z0)), 0'(z0))
   4'(c_1(c_1(c_1(c_4(c_2(c_4(c_2(c_0(c_2(c_3(c_3(c_1(c_3(c_0(c_2(c_2(c_0(c_0(c_3(z0)))))))))))))))))))) -> c109(0'(4(2(1(2(2(2(0(4(2(3(3(0(2(1(4(0(1(4(2(z0)))))))))))))))))))), 4'(2(1(2(2(2(0(4(2(3(3(0(2(1(4(0(1(4(2(z0))))))))))))))))))), 2'(1(2(2(2(0(4(2(3(3(0(2(1(4(0(1(4(2(z0)))))))))))))))))), 1'(2(2(2(0(4(2(3(3(0(2(1(4(0(1(4(2(z0))))))))))))))))), 2'(2(2(0(4(2(3(3(0(2(1(4(0(1(4(2(z0)))))))))))))))), 2'(2(0(4(2(3(3(0(2(1(4(0(1(4(2(z0))))))))))))))), 2'(0(4(2(3(3(0(2(1(4(0(1(4(2(z0)))))))))))))), 0'(4(2(3(3(0(2(1(4(0(1(4(2(z0))))))))))))), 4'(2(3(3(0(2(1(4(0(1(4(2(z0)))))))))))), 2'(3(3(0(2(1(4(0(1(4(2(z0))))))))))), 3'(3(0(2(1(4(0(1(4(2(z0)))))))))), 3'(0(2(1(4(0(1(4(2(z0))))))))), 0'(2(1(4(0(1(4(2(z0)))))))), 2'(1(4(0(1(4(2(z0))))))), 1'(4(0(1(4(2(z0)))))), 4'(0(1(4(2(z0))))), 0'(1(4(2(z0)))), 1'(4(2(z0))), 4'(2(z0)), 2'(z0))
   4'(c_0(c_2(c_2(c_4(c_3(c_1(c_3(c_4(c_0(c_0(c_0(c_2(c_2(c_2(c_3(c_0(c_4(c_2(c_4(z0)))))))))))))))))))) -> c110(2'(1(3(3(4(4(1(0(3(2(2(3(0(0(4(3(3(4(2(2(z0)))))))))))))))))))), 1'(3(3(4(4(1(0(3(2(2(3(0(0(4(3(3(4(2(2(z0))))))))))))))))))), 3'(3(4(4(1(0(3(2(2(3(0(0(4(3(3(4(2(2(z0)))))))))))))))))), 3'(4(4(1(0(3(2(2(3(0(0(4(3(3(4(2(2(z0))))))))))))))))), 4'(4(1(0(3(2(2(3(0(0(4(3(3(4(2(2(z0)))))))))))))))), 4'(1(0(3(2(2(3(0(0(4(3(3(4(2(2(z0))))))))))))))), 1'(0(3(2(2(3(0(0(4(3(3(4(2(2(z0)))))))))))))), 0'(3(2(2(3(0(0(4(3(3(4(2(2(z0))))))))))))), 3'(2(2(3(0(0(4(3(3(4(2(2(z0)))))))))))), 2'(2(3(0(0(4(3(3(4(2(2(z0))))))))))), 2'(3(0(0(4(3(3(4(2(2(z0)))))))))), 3'(0(0(4(3(3(4(2(2(z0))))))))), 0'(0(4(3(3(4(2(2(z0)))))))), 0'(4(3(3(4(2(2(z0))))))), 4'(3(3(4(2(2(z0)))))), 3'(3(4(2(2(z0))))), 3'(4(2(2(z0)))), 4'(2(2(z0))), 2'(2(z0)), 2'(z0))
   4'(c_3(c_3(c_3(c_0(c_2(c_1(c_2(c_2(c_3(c_2(c_0(c_1(c_1(c_4(c_1(c_3(c_4(c_2(c_4(z0)))))))))))))))))))) -> c111(3'(4(1(3(3(2(1(2(1(1(0(2(2(0(0(1(1(2(3(2(z0)))))))))))))))))))), 4'(1(3(3(2(1(2(1(1(0(2(2(0(0(1(1(2(3(2(z0))))))))))))))))))), 1'(3(3(2(1(2(1(1(0(2(2(0(0(1(1(2(3(2(z0)))))))))))))))))), 3'(3(2(1(2(1(1(0(2(2(0(0(1(1(2(3(2(z0))))))))))))))))), 3'(2(1(2(1(1(0(2(2(0(0(1(1(2(3(2(z0)))))))))))))))), 2'(1(2(1(1(0(2(2(0(0(1(1(2(3(2(z0))))))))))))))), 1'(2(1(1(0(2(2(0(0(1(1(2(3(2(z0)))))))))))))), 2'(1(1(0(2(2(0(0(1(1(2(3(2(z0))))))))))))), 1'(1(0(2(2(0(0(1(1(2(3(2(z0)))))))))))), 1'(0(2(2(0(0(1(1(2(3(2(z0))))))))))), 0'(2(2(0(0(1(1(2(3(2(z0)))))))))), 2'(2(0(0(1(1(2(3(2(z0))))))))), 2'(0(0(1(1(2(3(2(z0)))))))), 0'(0(1(1(2(3(2(z0))))))), 0'(1(1(2(3(2(z0)))))), 1'(1(2(3(2(z0))))), 1'(2(3(2(z0)))), 2'(3(2(z0))), 3'(2(z0)), 2'(z0))
   4'(c_4(c_4(c_1(c_3(c_3(c_4(c_4(c_2(c_2(c_0(c_1(c_0(c_2(c_4(c_3(c_2(c_2(c_0(c_2(z0)))))))))))))))))))) -> c112(4'(3(2(3(2(2(0(0(1(3(4(2(2(2(4(4(1(2(0(2(z0)))))))))))))))))))), 3'(2(3(2(2(0(0(1(3(4(2(2(2(4(4(1(2(0(2(z0))))))))))))))))))), 2'(3(2(2(0(0(1(3(4(2(2(2(4(4(1(2(0(2(z0)))))))))))))))))), 3'(2(2(0(0(1(3(4(2(2(2(4(4(1(2(0(2(z0))))))))))))))))), 2'(2(0(0(1(3(4(2(2(2(4(4(1(2(0(2(z0)))))))))))))))), 2'(0(0(1(3(4(2(2(2(4(4(1(2(0(2(z0))))))))))))))), 0'(0(1(3(4(2(2(2(4(4(1(2(0(2(z0)))))))))))))), 0'(1(3(4(2(2(2(4(4(1(2(0(2(z0))))))))))))), 1'(3(4(2(2(2(4(4(1(2(0(2(z0)))))))))))), 3'(4(2(2(2(4(4(1(2(0(2(z0))))))))))), 4'(2(2(2(4(4(1(2(0(2(z0)))))))))), 2'(2(2(4(4(1(2(0(2(z0))))))))), 2'(2(4(4(1(2(0(2(z0)))))))), 2'(4(4(1(2(0(2(z0))))))), 4'(4(1(2(0(2(z0)))))), 4'(1(2(0(2(z0))))), 1'(2(0(2(z0)))), 2'(0(2(z0))), 0'(2(z0)), 2'(z0))
   4'(c_0(c_4(c_2(c_2(c_3(c_3(c_2(c_2(c_1(c_2(c_1(c_0(c_1(c_0(c_3(c_2(c_1(c_2(c_0(z0)))))))))))))))))))) -> c113(1'(1(2(2(0(0(4(4(2(3(3(3(2(2(2(0(3(0(0(2(z0)))))))))))))))))))), 1'(2(2(0(0(4(4(2(3(3(3(2(2(2(0(3(0(0(2(z0))))))))))))))))))), 2'(2(0(0(4(4(2(3(3(3(2(2(2(0(3(0(0(2(z0)))))))))))))))))), 2'(0(0(4(4(2(3(3(3(2(2(2(0(3(0(0(2(z0))))))))))))))))), 0'(0(4(4(2(3(3(3(2(2(2(0(3(0(0(2(z0)))))))))))))))), 0'(4(4(2(3(3(3(2(2(2(0(3(0(0(2(z0))))))))))))))), 4'(4(2(3(3(3(2(2(2(0(3(0(0(2(z0)))))))))))))), 4'(2(3(3(3(2(2(2(0(3(0(0(2(z0))))))))))))), 2'(3(3(3(2(2(2(0(3(0(0(2(z0)))))))))))), 3'(3(3(2(2(2(0(3(0(0(2(z0))))))))))), 3'(3(2(2(2(0(3(0(0(2(z0)))))))))), 3'(2(2(2(0(3(0(0(2(z0))))))))), 2'(2(2(0(3(0(0(2(z0)))))))), 2'(2(0(3(0(0(2(z0))))))), 2'(0(3(0(0(2(z0)))))), 0'(3(0(0(2(z0))))), 3'(0(0(2(z0)))), 0'(0(2(z0))), 0'(2(z0)), 2'(z0))
K tuples:none
Defined Rule Symbols:   2_1, 3_1, 0_1, 1_1, 4_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, c29_20, c30_20, c31_20, 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_20, c65_20, c66_20, c67_20, c68_20, c69_20, c70_20, c71, 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_20, c90_20, c91_20, c92_20, c93, 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:
   3'(z0) -> c71
   1'(z0) -> c28
   4'(z0) -> c93
   2'(z0) -> c43
   0'(z0) -> c10

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

(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_1(c_4(c_2(c_2(c_0(c_3(c_2(c_0(c_4(c_1(c_3(c_2(c_0(c_0(c_3(c_2(c_3(c_0(c_2(z0)))))))))))))))))))) -> 2(4(2(1(2(2(3(0(2(0(1(2(2(0(1(2(0(0(4(2(z0))))))))))))))))))))
   0(c_0(c_2(c_1(c_0(c_3(c_1(c_3(c_1(c_3(c_3(c_3(c_2(c_4(c_0(c_0(c_1(c_2(c_0(c_4(z0)))))))))))))))))))) -> 4(4(1(4(4(3(2(1(1(0(2(2(1(2(1(0(3(4(2(2(z0))))))))))))))))))))
   0(c_3(c_2(c_0(c_4(c_2(c_0(c_1(c_1(c_3(c_2(c_3(c_4(c_4(c_1(c_2(c_4(c_2(c_4(c_2(z0)))))))))))))))))))) -> 2(2(4(3(4(2(3(4(1(2(1(0(0(2(0(4(1(4(2(2(z0))))))))))))))))))))
   0(c_1(c_4(c_3(c_2(c_3(c_0(c_1(c_2(c_4(c_0(c_3(c_4(c_2(c_0(c_0(c_3(c_2(c_4(c_2(z0)))))))))))))))))))) -> 2(1(3(0(0(1(4(3(1(3(2(2(2(1(3(0(2(0(0(2(z0))))))))))))))))))))
   0(c_3(c_3(c_2(c_4(c_1(c_0(c_0(c_1(c_2(c_0(c_4(c_3(c_3(c_4(c_4(c_4(c_3(c_1(c_2(z0)))))))))))))))))))) -> 4(1(2(2(2(2(4(4(2(0(3(2(1(0(4(4(1(4(2(0(z0))))))))))))))))))))
   0(c_4(c_4(c_2(c_3(c_2(c_1(c_2(c_2(c_1(c_4(c_1(c_1(c_1(c_4(c_2(c_2(c_1(c_2(c_0(z0)))))))))))))))))))) -> 3(0(0(1(4(1(2(3(3(4(2(1(1(3(2(2(1(3(2(4(z0))))))))))))))))))))
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   0(c_4(c_2(c_0(c_0(c_3(c_2(c_1(c_0(c_1(c_3(c_1(c_2(c_4(c_4(c_0(c_2(c_3(c_2(c_2(z0)))))))))))))))))))) -> 2(1(2(2(3(3(2(0(4(4(3(3(1(0(0(3(4(2(2(4(z0))))))))))))))))))))
   1(z0) -> c_1(z0)
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   1(c_0(c_0(c_3(c_1(c_4(c_2(c_1(c_2(c_2(c_2(c_2(c_2(c_3(c_0(c_1(c_4(c_2(c_0(c_4(z0)))))))))))))))))))) -> 2(4(4(0(3(3(0(3(3(3(2(4(2(2(0(0(0(0(3(3(z0))))))))))))))))))))
   1(c_1(c_1(c_1(c_2(c_4(c_4(c_3(c_0(c_2(c_3(c_3(c_1(c_3(c_0(c_1(c_4(c_2(c_2(c_3(z0)))))))))))))))))))) -> 3(4(2(1(1(0(1(2(1(4(4(2(3(3(4(2(1(2(3(2(z0))))))))))))))))))))
   1(c_0(c_0(c_4(c_0(c_0(c_2(c_3(c_2(c_2(c_3(c_3(c_1(c_3(c_4(c_3(c_2(c_2(c_1(c_1(z0)))))))))))))))))))) -> 1(2(2(2(0(0(2(2(3(0(4(4(2(1(4(2(2(2(4(1(z0))))))))))))))))))))
   1(c_1(c_2(c_0(c_4(c_1(c_3(c_1(c_2(c_2(c_0(c_4(c_0(c_2(c_3(c_4(c_4(c_0(c_2(c_3(z0)))))))))))))))))))) -> 1(0(2(2(4(0(3(1(0(0(3(0(2(1(1(2(2(3(1(0(z0))))))))))))))))))))
   1(c_3(c_2(c_3(c_1(c_0(c_3(c_3(c_0(c_1(c_2(c_0(c_2(c_2(c_2(c_0(c_1(c_3(c_1(c_0(z0)))))))))))))))))))) -> 3(3(4(3(1(2(2(4(4(0(2(2(2(2(0(0(2(0(1(4(z0))))))))))))))))))))
   1(c_1(c_2(c_1(c_3(c_4(c_0(c_2(c_2(c_3(c_3(c_3(c_3(c_0(c_1(c_0(c_4(c_3(c_0(c_2(z0)))))))))))))))))))) -> 3(2(1(4(2(2(3(4(2(3(1(4(2(3(0(3(3(4(0(3(z0))))))))))))))))))))
   1(c_1(c_3(c_3(c_1(c_1(c_3(c_2(c_3(c_2(c_0(c_4(c_2(c_0(c_2(c_1(c_1(c_0(c_4(c_1(z0)))))))))))))))))))) -> 2(3(4(2(0(0(0(0(3(1(2(2(4(1(2(3(1(0(4(4(z0))))))))))))))))))))
   1(c_3(c_1(c_4(c_0(c_1(c_4(c_3(c_0(c_4(c_2(c_1(c_0(c_0(c_1(c_2(c_3(c_2(c_2(c_3(z0)))))))))))))))))))) -> 0(4(0(3(0(3(0(3(2(0(1(0(0(2(1(3(2(1(2(0(z0))))))))))))))))))))
   1(c_0(c_2(c_1(c_1(c_1(c_2(c_0(c_0(c_2(c_1(c_3(c_3(c_3(c_1(c_4(c_1(c_0(c_0(c_1(z0)))))))))))))))))))) -> 2(2(1(0(1(4(3(2(3(0(0(0(4(3(2(1(1(2(0(2(z0))))))))))))))))))))
   1(c_0(c_4(c_0(c_1(c_3(c_0(c_2(c_3(c_2(c_1(c_2(c_3(c_2(c_4(c_2(c_4(c_3(c_4(c_2(z0)))))))))))))))))))) -> 2(3(0(2(0(2(2(2(3(4(1(0(2(3(1(2(1(2(4(2(z0))))))))))))))))))))
   1(c_4(c_4(c_2(c_3(c_1(c_2(c_3(c_3(c_1(c_0(c_1(c_3(c_2(c_1(c_2(c_1(c_2(c_2(c_2(z0)))))))))))))))))))) -> 2(0(2(0(2(0(2(0(4(2(4(2(3(2(3(1(2(2(2(1(z0))))))))))))))))))))
   1(c_1(c_0(c_0(c_1(c_3(c_2(c_4(c_3(c_1(c_4(c_0(c_4(c_1(c_2(c_2(c_2(c_3(c_3(c_2(z0)))))))))))))))))))) -> 3(1(4(3(1(0(3(4(0(3(2(2(4(0(2(3(3(2(2(0(z0))))))))))))))))))))
   2(z0) -> c_2(z0)
   2(c_1(c_3(c_4(c_1(c_0(c_3(c_2(c_0(c_3(c_0(c_1(c_1(c_4(c_0(c_0(c_2(c_4(c_4(c_1(z0)))))))))))))))))))) -> 3(0(3(2(1(4(1(4(0(0(2(2(0(1(1(0(4(1(2(1(z0))))))))))))))))))))
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   2(c_3(c_4(c_4(c_4(c_3(c_0(c_0(c_2(c_3(c_4(c_3(c_0(c_4(c_3(c_0(c_1(c_2(c_4(c_2(z0)))))))))))))))))))) -> 3(3(2(0(4(0(2(4(2(3(2(2(4(4(0(4(0(3(4(1(z0))))))))))))))))))))
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   2(c_4(c_2(c_2(c_1(c_2(c_4(c_2(c_3(c_0(c_1(c_0(c_2(c_1(c_2(c_0(c_0(c_0(c_4(c_0(z0)))))))))))))))))))) -> 2(3(0(2(0(3(0(2(1(0(4(2(2(1(3(1(3(0(4(3(z0))))))))))))))))))))
   2(c_3(c_1(c_2(c_3(c_3(c_3(c_1(c_1(c_1(c_0(c_1(c_2(c_4(c_0(c_4(c_2(c_1(c_2(c_2(z0)))))))))))))))))))) -> 2(2(0(1(4(3(2(2(4(3(0(2(4(3(2(0(0(1(0(2(z0))))))))))))))))))))
   2(c_4(c_0(c_3(c_1(c_2(c_1(c_1(c_2(c_0(c_2(c_2(c_0(c_3(c_2(c_1(c_1(c_0(c_1(c_3(z0)))))))))))))))))))) -> 2(3(3(1(3(1(2(1(1(0(2(0(0(2(3(3(0(3(3(3(z0))))))))))))))))))))
   2(c_4(c_3(c_2(c_0(c_2(c_4(c_1(c_2(c_0(c_4(c_1(c_2(c_3(c_1(c_2(c_3(c_4(c_1(c_1(z0)))))))))))))))))))) -> 2(0(1(1(2(2(4(3(2(2(1(3(0(1(2(3(0(4(4(4(z0))))))))))))))))))))
   2(c_0(c_0(c_0(c_2(c_2(c_3(c_1(c_3(c_1(c_0(c_4(c_3(c_3(c_0(c_2(c_4(c_1(c_0(c_3(z0)))))))))))))))))))) -> 4(0(3(4(3(4(0(0(2(2(2(1(2(2(2(1(1(2(0(4(z0))))))))))))))))))))
   2(c_4(c_3(c_2(c_2(c_4(c_0(c_3(c_2(c_4(c_3(c_1(c_0(c_4(c_4(c_3(c_3(c_2(c_2(c_1(z0)))))))))))))))))))) -> 3(4(3(0(2(2(2(4(3(2(0(3(0(3(2(0(3(0(4(2(z0))))))))))))))))))))
   2(c_3(c_0(c_1(c_3(c_3(c_4(c_2(c_1(c_4(c_4(c_2(c_3(c_1(c_1(c_1(c_2(c_3(c_0(c_2(z0)))))))))))))))))))) -> 2(2(3(0(4(4(0(0(1(3(3(0(4(3(4(2(2(4(3(2(z0))))))))))))))))))))
   2(c_4(c_0(c_0(c_3(c_2(c_2(c_2(c_1(c_1(c_4(c_0(c_1(c_2(c_2(c_3(c_4(c_2(c_3(c_4(z0)))))))))))))))))))) -> 3(1(3(2(2(4(0(3(2(1(0(0(2(3(3(3(2(3(4(3(z0))))))))))))))))))))
   2(c_0(c_4(c_2(c_2(c_3(c_4(c_0(c_1(c_0(c_3(c_2(c_1(c_3(c_0(c_3(c_1(c_1(c_3(c_0(z0)))))))))))))))))))) -> 0(3(0(1(2(2(2(0(0(3(3(2(1(1(0(4(2(1(2(4(z0))))))))))))))))))))
   2(c_3(c_4(c_0(c_0(c_4(c_3(c_3(c_2(c_3(c_4(c_0(c_2(c_0(c_4(c_4(c_0(c_2(c_4(c_2(z0)))))))))))))))))))) -> 1(3(1(3(3(2(0(2(2(3(0(1(2(2(2(4(1(2(1(1(z0))))))))))))))))))))
   2(c_1(c_3(c_2(c_2(c_0(c_4(c_4(c_0(c_4(c_1(c_2(c_3(c_3(c_0(c_2(c_1(c_4(c_4(c_4(z0)))))))))))))))))))) -> 4(3(2(3(2(2(2(1(4(1(2(2(0(1(1(1(0(0(3(4(z0))))))))))))))))))))
   2(c_0(c_3(c_4(c_1(c_2(c_0(c_2(c_3(c_3(c_1(c_2(c_0(c_1(c_2(c_0(c_4(c_4(c_4(c_2(z0)))))))))))))))))))) -> 2(2(2(4(3(2(0(1(4(1(2(3(0(3(1(3(3(1(2(4(z0))))))))))))))))))))
   2(c_0(c_2(c_1(c_1(c_0(c_1(c_0(c_2(c_2(c_0(c_1(c_2(c_0(c_2(c_4(c_0(c_1(c_2(c_0(z0)))))))))))))))))))) -> 3(0(2(4(1(2(0(4(2(1(3(0(2(3(4(2(3(3(4(0(z0))))))))))))))))))))
   2(c_4(c_4(c_4(c_2(c_2(c_2(c_0(c_4(c_3(c_4(c_3(c_4(c_2(c_3(c_1(c_4(c_3(c_1(c_3(z0)))))))))))))))))))) -> 2(3(4(2(1(1(1(3(2(3(0(2(4(1(2(0(2(1(1(4(z0))))))))))))))))))))
   2(c_3(c_1(c_1(c_3(c_2(c_1(c_1(c_1(c_3(c_2(c_3(c_4(c_2(c_2(c_3(c_4(c_3(c_3(c_0(z0)))))))))))))))))))) -> 0(4(4(2(4(0(2(3(2(0(2(1(2(4(4(3(2(3(2(2(z0))))))))))))))))))))
   2(c_0(c_2(c_4(c_2(c_2(c_2(c_4(c_3(c_0(c_0(c_1(c_0(c_1(c_0(c_3(c_0(c_3(c_2(c_4(z0)))))))))))))))))))) -> 0(3(0(2(2(0(2(1(3(2(3(3(0(2(0(4(3(3(3(2(z0))))))))))))))))))))
   2(c_4(c_1(c_3(c_2(c_2(c_1(c_4(c_2(c_1(c_1(c_1(c_2(c_2(c_2(c_0(c_3(c_0(c_2(c_4(z0)))))))))))))))))))) -> 3(3(1(4(3(2(3(2(2(3(2(1(1(0(3(3(3(4(0(2(z0))))))))))))))))))))
   2(c_0(c_0(c_0(c_3(c_1(c_0(c_2(c_4(c_2(c_2(c_2(c_4(c_0(c_4(c_0(c_1(c_0(c_3(c_4(z0)))))))))))))))))))) -> 1(4(2(4(4(4(4(3(2(4(4(3(2(2(0(0(4(1(2(2(z0))))))))))))))))))))
   2(c_3(c_3(c_3(c_0(c_0(c_1(c_0(c_2(c_4(c_3(c_1(c_1(c_3(c_2(c_1(c_2(c_2(c_2(c_1(z0)))))))))))))))))))) -> 3(4(2(2(0(0(0(0(2(4(2(3(2(0(3(2(3(0(2(3(z0))))))))))))))))))))
   2(c_1(c_4(c_1(c_3(c_4(c_3(c_2(c_2(c_0(c_1(c_0(c_2(c_1(c_0(c_3(c_4(c_2(c_4(c_2(z0)))))))))))))))))))) -> 4(2(2(2(3(3(4(1(4(0(2(3(2(1(0(3(2(3(3(4(z0))))))))))))))))))))
   2(c_4(c_2(c_2(c_1(c_1(c_2(c_3(c_0(c_1(c_0(c_0(c_3(c_2(c_1(c_0(c_0(c_1(c_0(c_2(z0)))))))))))))))))))) -> 2(2(2(3(3(4(1(4(3(0(0(2(0(1(1(2(3(0(2(4(z0))))))))))))))))))))
   2(c_4(c_0(c_0(c_4(c_2(c_1(c_3(c_3(c_3(c_2(c_0(c_4(c_1(c_4(c_0(c_2(c_1(c_3(c_2(z0)))))))))))))))))))) -> 0(4(2(4(0(3(2(1(2(4(2(2(3(1(0(1(2(3(3(2(z0))))))))))))))))))))
   2(c_0(c_4(c_2(c_1(c_3(c_4(c_4(c_2(c_1(c_0(c_3(c_2(c_1(c_3(c_2(c_1(c_4(c_2(c_4(z0)))))))))))))))))))) -> 0(2(4(2(2(2(0(2(4(3(3(2(3(3(4(1(0(3(0(4(z0))))))))))))))))))))
   3(z0) -> c_3(z0)
   3(c_0(c_1(c_4(c_2(c_2(c_3(c_4(c_4(c_3(c_0(c_2(c_1(c_4(c_1(c_0(c_1(c_0(c_2(c_3(z0)))))))))))))))))))) -> 4(2(0(4(1(1(2(0(2(4(0(3(4(4(3(2(0(3(3(2(z0))))))))))))))))))))
   3(c_1(c_1(c_1(c_2(c_0(c_1(c_3(c_3(c_2(c_1(c_3(c_4(c_1(c_2(c_2(c_3(c_3(c_2(c_3(z0)))))))))))))))))))) -> 2(3(2(2(4(3(4(2(3(1(2(2(4(2(3(0(4(3(0(3(z0))))))))))))))))))))
   3(c_2(c_2(c_3(c_4(c_3(c_2(c_2(c_0(c_4(c_1(c_4(c_3(c_4(c_2(c_1(c_4(c_1(c_0(c_2(z0)))))))))))))))))))) -> 2(1(3(3(3(2(2(4(0(4(0(4(2(0(2(1(3(3(3(3(z0))))))))))))))))))))
   3(c_3(c_2(c_4(c_3(c_0(c_2(c_1(c_4(c_3(c_3(c_4(c_4(c_1(c_1(c_4(c_3(c_3(c_2(c_2(z0)))))))))))))))))))) -> 4(1(2(3(2(0(3(3(0(3(2(3(1(1(2(0(1(0(2(2(z0))))))))))))))))))))
   3(c_1(c_4(c_3(c_4(c_2(c_1(c_1(c_1(c_4(c_3(c_1(c_3(c_2(c_2(c_4(c_2(c_2(c_1(c_1(z0)))))))))))))))))))) -> 2(1(2(4(2(4(1(4(2(1(4(0(0(1(2(3(3(2(1(3(z0))))))))))))))))))))
   3(c_3(c_0(c_4(c_4(c_1(c_0(c_2(c_3(c_2(c_1(c_2(c_2(c_3(c_3(c_1(c_0(c_2(c_4(c_1(z0)))))))))))))))))))) -> 4(2(1(2(3(3(3(3(0(2(0(3(0(2(3(1(2(1(1(0(z0))))))))))))))))))))
   3(c_1(c_1(c_0(c_0(c_2(c_2(c_4(c_2(c_2(c_2(c_2(c_1(c_2(c_2(c_1(c_1(c_1(c_1(c_4(z0)))))))))))))))))))) -> 4(2(1(4(1(3(2(2(4(4(2(3(3(3(3(2(4(3(2(3(z0))))))))))))))))))))
   3(c_0(c_0(c_1(c_0(c_2(c_3(c_3(c_2(c_0(c_2(c_1(c_1(c_0(c_4(c_3(c_2(c_0(c_4(c_2(z0)))))))))))))))))))) -> 1(0(0(2(1(4(4(0(2(3(0(2(4(4(2(3(2(4(0(2(z0))))))))))))))))))))
   3(c_2(c_3(c_2(c_2(c_0(c_0(c_4(c_1(c_0(c_0(c_4(c_0(c_3(c_3(c_2(c_2(c_1(c_0(c_3(z0)))))))))))))))))))) -> 1(3(1(2(0(4(0(3(2(4(3(0(2(1(2(2(1(2(2(3(z0))))))))))))))))))))
   3(c_4(c_4(c_4(c_3(c_1(c_4(c_3(c_0(c_2(c_2(c_0(c_4(c_4(c_1(c_3(c_3(c_3(c_2(c_2(z0)))))))))))))))))))) -> 4(2(2(3(0(0(3(1(1(1(4(4(3(0(3(2(1(0(2(2(z0))))))))))))))))))))
   3(c_0(c_1(c_0(c_2(c_2(c_3(c_1(c_2(c_1(c_1(c_1(c_0(c_0(c_2(c_2(c_1(c_3(c_1(c_3(z0)))))))))))))))))))) -> 3(1(4(1(2(1(0(3(2(0(0(1(0(2(4(0(2(2(3(2(z0))))))))))))))))))))
   3(c_3(c_1(c_0(c_2(c_4(c_2(c_3(c_1(c_0(c_2(c_4(c_4(c_4(c_0(c_0(c_2(c_1(c_1(c_2(z0)))))))))))))))))))) -> 2(4(2(3(2(3(4(0(4(2(4(3(1(0(1(2(0(3(2(0(z0))))))))))))))))))))
   3(c_2(c_0(c_3(c_2(c_4(c_4(c_2(c_2(c_2(c_0(c_1(c_2(c_2(c_3(c_4(c_0(c_2(c_4(c_1(z0)))))))))))))))))))) -> 0(0(2(3(0(2(1(2(2(2(3(2(1(3(4(3(4(2(2(2(z0))))))))))))))))))))
   3(c_3(c_3(c_0(c_2(c_0(c_2(c_2(c_1(c_0(c_0(c_4(c_4(c_2(c_0(c_2(c_3(c_0(c_2(c_4(z0)))))))))))))))))))) -> 2(3(3(2(4(3(4(2(3(3(1(0(1(2(4(3(0(3(3(2(z0))))))))))))))))))))
   3(c_0(c_1(c_4(c_3(c_1(c_2(c_0(c_3(c_2(c_3(c_2(c_2(c_0(c_2(c_2(c_3(c_1(c_2(c_2(z0)))))))))))))))))))) -> 0(2(2(3(0(2(0(3(1(3(1(2(2(2(3(2(2(0(4(2(z0))))))))))))))))))))
   3(c_4(c_2(c_1(c_4(c_1(c_0(c_2(c_4(c_3(c_3(c_4(c_3(c_3(c_1(c_2(c_2(c_3(c_3(c_3(z0)))))))))))))))))))) -> 4(2(0(1(2(0(2(0(0(2(1(4(0(3(2(2(3(2(2(4(z0))))))))))))))))))))
   3(c_1(c_0(c_3(c_2(c_2(c_1(c_1(c_4(c_4(c_0(c_2(c_2(c_4(c_3(c_2(c_2(c_3(c_4(c_2(z0)))))))))))))))))))) -> 2(0(4(3(3(2(2(2(4(0(4(3(2(2(2(0(3(0(4(2(z0))))))))))))))))))))
   3(c_0(c_1(c_3(c_2(c_0(c_1(c_3(c_4(c_2(c_3(c_1(c_2(c_2(c_1(c_2(c_3(c_1(c_3(c_1(z0)))))))))))))))))))) -> 2(3(2(3(0(2(1(2(2(4(3(3(3(2(1(0(1(3(2(2(z0))))))))))))))))))))
   3(c_0(c_2(c_4(c_0(c_4(c_0(c_1(c_2(c_1(c_4(c_3(c_0(c_4(c_3(c_0(c_3(c_3(c_3(c_2(z0)))))))))))))))))))) -> 1(0(4(3(1(4(2(3(3(4(3(0(0(2(2(3(4(0(4(2(z0))))))))))))))))))))
   3(c_2(c_0(c_3(c_4(c_4(c_4(c_1(c_0(c_2(c_2(c_1(c_4(c_0(c_0(c_4(c_3(c_2(c_3(c_1(z0)))))))))))))))))))) -> 0(4(0(3(4(2(0(3(1(3(3(1(1(0(3(2(2(3(0(3(z0))))))))))))))))))))
   3(c_0(c_3(c_2(c_0(c_0(c_2(c_2(c_3(c_0(c_0(c_4(c_3(c_4(c_2(c_4(c_2(c_3(c_3(c_3(z0)))))))))))))))))))) -> 3(0(0(1(3(2(2(2(3(3(2(0(1(2(3(3(4(2(2(4(z0))))))))))))))))))))
   4(z0) -> c_4(z0)
   4(c_1(c_4(c_3(c_1(c_0(c_4(c_4(c_1(c_3(c_3(c_2(c_2(c_1(c_2(c_2(c_3(c_2(c_0(c_0(z0)))))))))))))))))))) -> 2(2(4(4(3(3(2(1(4(4(3(2(3(4(1(2(1(1(3(0(z0))))))))))))))))))))
   4(c_1(c_2(c_3(c_2(c_0(c_0(c_1(c_0(c_2(c_3(c_1(c_3(c_2(c_3(c_1(c_0(c_1(c_4(c_2(z0)))))))))))))))))))) -> 1(1(1(0(2(3(0(3(3(2(4(3(3(2(0(2(1(2(3(3(z0))))))))))))))))))))
   4(c_3(c_0(c_3(c_4(c_3(c_3(c_0(c_1(c_3(c_2(c_3(c_3(c_4(c_3(c_0(c_0(c_3(c_4(c_2(z0)))))))))))))))))))) -> 1(1(0(4(0(0(0(2(4(0(2(2(3(2(3(3(0(4(3(2(z0))))))))))))))))))))
   4(c_3(c_2(c_0(c_0(c_3(c_4(c_2(c_0(c_3(c_0(c_1(c_0(c_1(c_1(c_4(c_0(c_2(c_2(c_4(z0)))))))))))))))))))) -> 4(1(2(2(4(4(2(1(4(3(2(0(0(0(2(4(1(2(0(3(z0))))))))))))))))))))
   4(c_0(c_3(c_2(c_0(c_3(c_3(c_2(c_3(c_1(c_4(c_3(c_2(c_2(c_3(c_1(c_3(c_1(c_0(c_4(z0)))))))))))))))))))) -> 0(0(0(2(1(3(3(4(2(4(3(3(2(4(2(3(3(0(0(3(z0))))))))))))))))))))
   4(c_4(c_0(c_3(c_0(c_1(c_3(c_2(c_2(c_2(c_3(c_1(c_0(c_2(c_3(c_3(c_0(c_2(c_4(c_4(z0)))))))))))))))))))) -> 2(1(3(2(2(2(4(0(3(2(2(2(2(2(0(3(0(2(0(3(z0))))))))))))))))))))
   4(c_4(c_4(c_4(c_3(c_2(c_0(c_3(c_2(c_4(c_2(c_4(c_1(c_2(c_1(c_4(c_2(c_3(c_0(c_0(z0)))))))))))))))))))) -> 3(4(2(3(3(2(2(1(3(4(2(3(1(4(4(3(1(1(3(3(z0))))))))))))))))))))
   4(c_0(c_2(c_3(c_1(c_1(c_2(c_3(c_1(c_1(c_2(c_0(c_4(c_3(c_0(c_2(c_3(c_2(c_3(c_3(z0)))))))))))))))))))) -> 2(2(4(2(2(3(0(2(4(2(3(1(3(2(2(3(4(1(0(2(z0))))))))))))))))))))
   4(c_3(c_0(c_3(c_2(c_0(c_2(c_2(c_3(c_1(c_0(c_2(c_0(c_0(c_2(c_3(c_1(c_3(c_4(c_4(z0)))))))))))))))))))) -> 1(4(0(3(3(2(2(2(0(2(3(1(2(3(3(0(3(1(0(1(z0))))))))))))))))))))
   4(c_2(c_4(c_0(c_2(c_3(c_1(c_0(c_2(c_1(c_2(c_2(c_4(c_1(c_4(c_3(c_1(c_0(c_3(c_2(z0)))))))))))))))))))) -> 1(3(0(2(3(2(0(0(0(3(3(2(4(4(3(3(2(4(3(0(z0))))))))))))))))))))
   4(c_2(c_3(c_2(c_2(c_0(c_0(c_4(c_0(c_2(c_0(c_1(c_3(c_0(c_2(c_1(c_0(c_1(c_2(c_4(z0)))))))))))))))))))) -> 1(0(2(0(4(3(4(3(0(3(2(2(4(0(2(1(2(2(4(2(z0))))))))))))))))))))
   4(c_4(c_0(c_3(c_0(c_4(c_2(c_4(c_2(c_3(c_0(c_2(c_2(c_0(c_4(c_3(c_3(c_4(c_2(c_2(z0)))))))))))))))))))) -> 2(3(3(1(0(2(2(3(1(4(0(0(1(2(2(0(4(4(2(2(z0))))))))))))))))))))
   4(c_0(c_0(c_0(c_0(c_4(c_2(c_1(c_1(c_1(c_1(c_3(c_2(c_4(c_0(c_0(c_3(c_2(c_4(c_1(z0)))))))))))))))))))) -> 2(1(2(2(0(2(4(3(1(0(4(1(4(0(3(4(1(3(4(4(z0))))))))))))))))))))
   4(c_4(c_2(c_2(c_0(c_0(c_3(c_0(c_3(c_1(c_2(c_3(c_3(c_1(c_2(c_2(c_2(c_4(c_4(c_4(z0)))))))))))))))))))) -> 4(2(3(0(2(2(0(2(2(4(3(1(1(4(4(2(4(2(3(3(z0))))))))))))))))))))
   4(c_2(c_3(c_0(c_2(c_2(c_4(c_0(c_0(c_3(c_1(c_2(c_0(c_4(c_2(c_0(c_2(c_3(c_3(c_0(z0)))))))))))))))))))) -> 2(2(2(2(4(0(3(0(4(1(2(2(1(3(3(2(0(3(1(0(z0))))))))))))))))))))
   4(c_1(c_1(c_1(c_4(c_2(c_4(c_2(c_0(c_2(c_3(c_3(c_1(c_3(c_0(c_2(c_2(c_0(c_0(c_3(z0)))))))))))))))))))) -> 0(4(2(1(2(2(2(0(4(2(3(3(0(2(1(4(0(1(4(2(z0))))))))))))))))))))
   4(c_0(c_2(c_2(c_4(c_3(c_1(c_3(c_4(c_0(c_0(c_0(c_2(c_2(c_2(c_3(c_0(c_4(c_2(c_4(z0)))))))))))))))))))) -> 2(1(3(3(4(4(1(0(3(2(2(3(0(0(4(3(3(4(2(2(z0))))))))))))))))))))
   4(c_3(c_3(c_3(c_0(c_2(c_1(c_2(c_2(c_3(c_2(c_0(c_1(c_1(c_4(c_1(c_3(c_4(c_2(c_4(z0)))))))))))))))))))) -> 3(4(1(3(3(2(1(2(1(1(0(2(2(0(0(1(1(2(3(2(z0))))))))))))))))))))
   4(c_4(c_4(c_1(c_3(c_3(c_4(c_4(c_2(c_2(c_0(c_1(c_0(c_2(c_4(c_3(c_2(c_2(c_0(c_2(z0)))))))))))))))))))) -> 4(3(2(3(2(2(0(0(1(3(4(2(2(2(4(4(1(2(0(2(z0))))))))))))))))))))
   4(c_0(c_4(c_2(c_2(c_3(c_3(c_2(c_2(c_1(c_2(c_1(c_0(c_1(c_0(c_3(c_2(c_1(c_2(c_0(z0)))))))))))))))))))) -> 1(1(2(2(0(0(4(4(2(3(3(3(2(2(2(0(3(0(0(2(z0))))))))))))))))))))
Tuples:
   ENCARG(cons_0(z0)) -> c(0'(encArg(z0)), ENCARG(z0))
   ENCARG(cons_1(z0)) -> c1(1'(encArg(z0)), ENCARG(z0))
   ENCARG(cons_2(z0)) -> c2(2'(encArg(z0)), ENCARG(z0))
   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_1(c_4(c_2(c_2(c_0(c_3(c_2(c_0(c_4(c_1(c_3(c_2(c_0(c_0(c_3(c_2(c_3(c_0(c_2(z0)))))))))))))))))))) -> c11(2'(4(2(1(2(2(3(0(2(0(1(2(2(0(1(2(0(0(4(2(z0)))))))))))))))))))), 4'(2(1(2(2(3(0(2(0(1(2(2(0(1(2(0(0(4(2(z0))))))))))))))))))), 2'(1(2(2(3(0(2(0(1(2(2(0(1(2(0(0(4(2(z0)))))))))))))))))), 1'(2(2(3(0(2(0(1(2(2(0(1(2(0(0(4(2(z0))))))))))))))))), 2'(2(3(0(2(0(1(2(2(0(1(2(0(0(4(2(z0)))))))))))))))), 2'(3(0(2(0(1(2(2(0(1(2(0(0(4(2(z0))))))))))))))), 3'(0(2(0(1(2(2(0(1(2(0(0(4(2(z0)))))))))))))), 0'(2(0(1(2(2(0(1(2(0(0(4(2(z0))))))))))))), 2'(0(1(2(2(0(1(2(0(0(4(2(z0)))))))))))), 0'(1(2(2(0(1(2(0(0(4(2(z0))))))))))), 1'(2(2(0(1(2(0(0(4(2(z0)))))))))), 2'(2(0(1(2(0(0(4(2(z0))))))))), 2'(0(1(2(0(0(4(2(z0)))))))), 0'(1(2(0(0(4(2(z0))))))), 1'(2(0(0(4(2(z0)))))), 2'(0(0(4(2(z0))))), 0'(0(4(2(z0)))), 0'(4(2(z0))), 4'(2(z0)), 2'(z0))
   0'(c_0(c_2(c_1(c_0(c_3(c_1(c_3(c_1(c_3(c_3(c_3(c_2(c_4(c_0(c_0(c_1(c_2(c_0(c_4(z0)))))))))))))))))))) -> c12(4'(4(1(4(4(3(2(1(1(0(2(2(1(2(1(0(3(4(2(2(z0)))))))))))))))))))), 4'(1(4(4(3(2(1(1(0(2(2(1(2(1(0(3(4(2(2(z0))))))))))))))))))), 1'(4(4(3(2(1(1(0(2(2(1(2(1(0(3(4(2(2(z0)))))))))))))))))), 4'(4(3(2(1(1(0(2(2(1(2(1(0(3(4(2(2(z0))))))))))))))))), 4'(3(2(1(1(0(2(2(1(2(1(0(3(4(2(2(z0)))))))))))))))), 3'(2(1(1(0(2(2(1(2(1(0(3(4(2(2(z0))))))))))))))), 2'(1(1(0(2(2(1(2(1(0(3(4(2(2(z0)))))))))))))), 1'(1(0(2(2(1(2(1(0(3(4(2(2(z0))))))))))))), 1'(0(2(2(1(2(1(0(3(4(2(2(z0)))))))))))), 0'(2(2(1(2(1(0(3(4(2(2(z0))))))))))), 2'(2(1(2(1(0(3(4(2(2(z0)))))))))), 2'(1(2(1(0(3(4(2(2(z0))))))))), 1'(2(1(0(3(4(2(2(z0)))))))), 2'(1(0(3(4(2(2(z0))))))), 1'(0(3(4(2(2(z0)))))), 0'(3(4(2(2(z0))))), 3'(4(2(2(z0)))), 4'(2(2(z0))), 2'(2(z0)), 2'(z0))
   0'(c_3(c_2(c_0(c_4(c_2(c_0(c_1(c_1(c_3(c_2(c_3(c_4(c_4(c_1(c_2(c_4(c_2(c_4(c_2(z0)))))))))))))))))))) -> c13(2'(2(4(3(4(2(3(4(1(2(1(0(0(2(0(4(1(4(2(2(z0)))))))))))))))))))), 2'(4(3(4(2(3(4(1(2(1(0(0(2(0(4(1(4(2(2(z0))))))))))))))))))), 4'(3(4(2(3(4(1(2(1(0(0(2(0(4(1(4(2(2(z0)))))))))))))))))), 3'(4(2(3(4(1(2(1(0(0(2(0(4(1(4(2(2(z0))))))))))))))))), 4'(2(3(4(1(2(1(0(0(2(0(4(1(4(2(2(z0)))))))))))))))), 2'(3(4(1(2(1(0(0(2(0(4(1(4(2(2(z0))))))))))))))), 3'(4(1(2(1(0(0(2(0(4(1(4(2(2(z0)))))))))))))), 4'(1(2(1(0(0(2(0(4(1(4(2(2(z0))))))))))))), 1'(2(1(0(0(2(0(4(1(4(2(2(z0)))))))))))), 2'(1(0(0(2(0(4(1(4(2(2(z0))))))))))), 1'(0(0(2(0(4(1(4(2(2(z0)))))))))), 0'(0(2(0(4(1(4(2(2(z0))))))))), 0'(2(0(4(1(4(2(2(z0)))))))), 2'(0(4(1(4(2(2(z0))))))), 0'(4(1(4(2(2(z0)))))), 4'(1(4(2(2(z0))))), 1'(4(2(2(z0)))), 4'(2(2(z0))), 2'(2(z0)), 2'(z0))
   0'(c_1(c_4(c_3(c_2(c_3(c_0(c_1(c_2(c_4(c_0(c_3(c_4(c_2(c_0(c_0(c_3(c_2(c_4(c_2(z0)))))))))))))))))))) -> c14(2'(1(3(0(0(1(4(3(1(3(2(2(2(1(3(0(2(0(0(2(z0)))))))))))))))))))), 1'(3(0(0(1(4(3(1(3(2(2(2(1(3(0(2(0(0(2(z0))))))))))))))))))), 3'(0(0(1(4(3(1(3(2(2(2(1(3(0(2(0(0(2(z0)))))))))))))))))), 0'(0(1(4(3(1(3(2(2(2(1(3(0(2(0(0(2(z0))))))))))))))))), 0'(1(4(3(1(3(2(2(2(1(3(0(2(0(0(2(z0)))))))))))))))), 1'(4(3(1(3(2(2(2(1(3(0(2(0(0(2(z0))))))))))))))), 4'(3(1(3(2(2(2(1(3(0(2(0(0(2(z0)))))))))))))), 3'(1(3(2(2(2(1(3(0(2(0(0(2(z0))))))))))))), 1'(3(2(2(2(1(3(0(2(0(0(2(z0)))))))))))), 3'(2(2(2(1(3(0(2(0(0(2(z0))))))))))), 2'(2(2(1(3(0(2(0(0(2(z0)))))))))), 2'(2(1(3(0(2(0(0(2(z0))))))))), 2'(1(3(0(2(0(0(2(z0)))))))), 1'(3(0(2(0(0(2(z0))))))), 3'(0(2(0(0(2(z0)))))), 0'(2(0(0(2(z0))))), 2'(0(0(2(z0)))), 0'(0(2(z0))), 0'(2(z0)), 2'(z0))
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   4'(c_4(c_2(c_2(c_0(c_0(c_3(c_0(c_3(c_1(c_2(c_3(c_3(c_1(c_2(c_2(c_2(c_4(c_4(c_4(z0)))))))))))))))))))) -> c107(4'(2(3(0(2(2(0(2(2(4(3(1(1(4(4(2(4(2(3(3(z0)))))))))))))))))))), 2'(3(0(2(2(0(2(2(4(3(1(1(4(4(2(4(2(3(3(z0))))))))))))))))))), 3'(0(2(2(0(2(2(4(3(1(1(4(4(2(4(2(3(3(z0)))))))))))))))))), 0'(2(2(0(2(2(4(3(1(1(4(4(2(4(2(3(3(z0))))))))))))))))), 2'(2(0(2(2(4(3(1(1(4(4(2(4(2(3(3(z0)))))))))))))))), 2'(0(2(2(4(3(1(1(4(4(2(4(2(3(3(z0))))))))))))))), 0'(2(2(4(3(1(1(4(4(2(4(2(3(3(z0)))))))))))))), 2'(2(4(3(1(1(4(4(2(4(2(3(3(z0))))))))))))), 2'(4(3(1(1(4(4(2(4(2(3(3(z0)))))))))))), 4'(3(1(1(4(4(2(4(2(3(3(z0))))))))))), 3'(1(1(4(4(2(4(2(3(3(z0)))))))))), 1'(1(4(4(2(4(2(3(3(z0))))))))), 1'(4(4(2(4(2(3(3(z0)))))))), 4'(4(2(4(2(3(3(z0))))))), 4'(2(4(2(3(3(z0)))))), 2'(4(2(3(3(z0))))), 4'(2(3(3(z0)))), 2'(3(3(z0))), 3'(3(z0)), 3'(z0))
   4'(c_2(c_3(c_0(c_2(c_2(c_4(c_0(c_0(c_3(c_1(c_2(c_0(c_4(c_2(c_0(c_2(c_3(c_3(c_0(z0)))))))))))))))))))) -> c108(2'(2(2(2(4(0(3(0(4(1(2(2(1(3(3(2(0(3(1(0(z0)))))))))))))))))))), 2'(2(2(4(0(3(0(4(1(2(2(1(3(3(2(0(3(1(0(z0))))))))))))))))))), 2'(2(4(0(3(0(4(1(2(2(1(3(3(2(0(3(1(0(z0)))))))))))))))))), 2'(4(0(3(0(4(1(2(2(1(3(3(2(0(3(1(0(z0))))))))))))))))), 4'(0(3(0(4(1(2(2(1(3(3(2(0(3(1(0(z0)))))))))))))))), 0'(3(0(4(1(2(2(1(3(3(2(0(3(1(0(z0))))))))))))))), 3'(0(4(1(2(2(1(3(3(2(0(3(1(0(z0)))))))))))))), 0'(4(1(2(2(1(3(3(2(0(3(1(0(z0))))))))))))), 4'(1(2(2(1(3(3(2(0(3(1(0(z0)))))))))))), 1'(2(2(1(3(3(2(0(3(1(0(z0))))))))))), 2'(2(1(3(3(2(0(3(1(0(z0)))))))))), 2'(1(3(3(2(0(3(1(0(z0))))))))), 1'(3(3(2(0(3(1(0(z0)))))))), 3'(3(2(0(3(1(0(z0))))))), 3'(2(0(3(1(0(z0)))))), 2'(0(3(1(0(z0))))), 0'(3(1(0(z0)))), 3'(1(0(z0))), 1'(0(z0)), 0'(z0))
   4'(c_1(c_1(c_1(c_4(c_2(c_4(c_2(c_0(c_2(c_3(c_3(c_1(c_3(c_0(c_2(c_2(c_0(c_0(c_3(z0)))))))))))))))))))) -> c109(0'(4(2(1(2(2(2(0(4(2(3(3(0(2(1(4(0(1(4(2(z0)))))))))))))))))))), 4'(2(1(2(2(2(0(4(2(3(3(0(2(1(4(0(1(4(2(z0))))))))))))))))))), 2'(1(2(2(2(0(4(2(3(3(0(2(1(4(0(1(4(2(z0)))))))))))))))))), 1'(2(2(2(0(4(2(3(3(0(2(1(4(0(1(4(2(z0))))))))))))))))), 2'(2(2(0(4(2(3(3(0(2(1(4(0(1(4(2(z0)))))))))))))))), 2'(2(0(4(2(3(3(0(2(1(4(0(1(4(2(z0))))))))))))))), 2'(0(4(2(3(3(0(2(1(4(0(1(4(2(z0)))))))))))))), 0'(4(2(3(3(0(2(1(4(0(1(4(2(z0))))))))))))), 4'(2(3(3(0(2(1(4(0(1(4(2(z0)))))))))))), 2'(3(3(0(2(1(4(0(1(4(2(z0))))))))))), 3'(3(0(2(1(4(0(1(4(2(z0)))))))))), 3'(0(2(1(4(0(1(4(2(z0))))))))), 0'(2(1(4(0(1(4(2(z0)))))))), 2'(1(4(0(1(4(2(z0))))))), 1'(4(0(1(4(2(z0)))))), 4'(0(1(4(2(z0))))), 0'(1(4(2(z0)))), 1'(4(2(z0))), 4'(2(z0)), 2'(z0))
   4'(c_0(c_2(c_2(c_4(c_3(c_1(c_3(c_4(c_0(c_0(c_0(c_2(c_2(c_2(c_3(c_0(c_4(c_2(c_4(z0)))))))))))))))))))) -> c110(2'(1(3(3(4(4(1(0(3(2(2(3(0(0(4(3(3(4(2(2(z0)))))))))))))))))))), 1'(3(3(4(4(1(0(3(2(2(3(0(0(4(3(3(4(2(2(z0))))))))))))))))))), 3'(3(4(4(1(0(3(2(2(3(0(0(4(3(3(4(2(2(z0)))))))))))))))))), 3'(4(4(1(0(3(2(2(3(0(0(4(3(3(4(2(2(z0))))))))))))))))), 4'(4(1(0(3(2(2(3(0(0(4(3(3(4(2(2(z0)))))))))))))))), 4'(1(0(3(2(2(3(0(0(4(3(3(4(2(2(z0))))))))))))))), 1'(0(3(2(2(3(0(0(4(3(3(4(2(2(z0)))))))))))))), 0'(3(2(2(3(0(0(4(3(3(4(2(2(z0))))))))))))), 3'(2(2(3(0(0(4(3(3(4(2(2(z0)))))))))))), 2'(2(3(0(0(4(3(3(4(2(2(z0))))))))))), 2'(3(0(0(4(3(3(4(2(2(z0)))))))))), 3'(0(0(4(3(3(4(2(2(z0))))))))), 0'(0(4(3(3(4(2(2(z0)))))))), 0'(4(3(3(4(2(2(z0))))))), 4'(3(3(4(2(2(z0)))))), 3'(3(4(2(2(z0))))), 3'(4(2(2(z0)))), 4'(2(2(z0))), 2'(2(z0)), 2'(z0))
   4'(c_3(c_3(c_3(c_0(c_2(c_1(c_2(c_2(c_3(c_2(c_0(c_1(c_1(c_4(c_1(c_3(c_4(c_2(c_4(z0)))))))))))))))))))) -> c111(3'(4(1(3(3(2(1(2(1(1(0(2(2(0(0(1(1(2(3(2(z0)))))))))))))))))))), 4'(1(3(3(2(1(2(1(1(0(2(2(0(0(1(1(2(3(2(z0))))))))))))))))))), 1'(3(3(2(1(2(1(1(0(2(2(0(0(1(1(2(3(2(z0)))))))))))))))))), 3'(3(2(1(2(1(1(0(2(2(0(0(1(1(2(3(2(z0))))))))))))))))), 3'(2(1(2(1(1(0(2(2(0(0(1(1(2(3(2(z0)))))))))))))))), 2'(1(2(1(1(0(2(2(0(0(1(1(2(3(2(z0))))))))))))))), 1'(2(1(1(0(2(2(0(0(1(1(2(3(2(z0)))))))))))))), 2'(1(1(0(2(2(0(0(1(1(2(3(2(z0))))))))))))), 1'(1(0(2(2(0(0(1(1(2(3(2(z0)))))))))))), 1'(0(2(2(0(0(1(1(2(3(2(z0))))))))))), 0'(2(2(0(0(1(1(2(3(2(z0)))))))))), 2'(2(0(0(1(1(2(3(2(z0))))))))), 2'(0(0(1(1(2(3(2(z0)))))))), 0'(0(1(1(2(3(2(z0))))))), 0'(1(1(2(3(2(z0)))))), 1'(1(2(3(2(z0))))), 1'(2(3(2(z0)))), 2'(3(2(z0))), 3'(2(z0)), 2'(z0))
   4'(c_4(c_4(c_1(c_3(c_3(c_4(c_4(c_2(c_2(c_0(c_1(c_0(c_2(c_4(c_3(c_2(c_2(c_0(c_2(z0)))))))))))))))))))) -> c112(4'(3(2(3(2(2(0(0(1(3(4(2(2(2(4(4(1(2(0(2(z0)))))))))))))))))))), 3'(2(3(2(2(0(0(1(3(4(2(2(2(4(4(1(2(0(2(z0))))))))))))))))))), 2'(3(2(2(0(0(1(3(4(2(2(2(4(4(1(2(0(2(z0)))))))))))))))))), 3'(2(2(0(0(1(3(4(2(2(2(4(4(1(2(0(2(z0))))))))))))))))), 2'(2(0(0(1(3(4(2(2(2(4(4(1(2(0(2(z0)))))))))))))))), 2'(0(0(1(3(4(2(2(2(4(4(1(2(0(2(z0))))))))))))))), 0'(0(1(3(4(2(2(2(4(4(1(2(0(2(z0)))))))))))))), 0'(1(3(4(2(2(2(4(4(1(2(0(2(z0))))))))))))), 1'(3(4(2(2(2(4(4(1(2(0(2(z0)))))))))))), 3'(4(2(2(2(4(4(1(2(0(2(z0))))))))))), 4'(2(2(2(4(4(1(2(0(2(z0)))))))))), 2'(2(2(4(4(1(2(0(2(z0))))))))), 2'(2(4(4(1(2(0(2(z0)))))))), 2'(4(4(1(2(0(2(z0))))))), 4'(4(1(2(0(2(z0)))))), 4'(1(2(0(2(z0))))), 1'(2(0(2(z0)))), 2'(0(2(z0))), 0'(2(z0)), 2'(z0))
   4'(c_0(c_4(c_2(c_2(c_3(c_3(c_2(c_2(c_1(c_2(c_1(c_0(c_1(c_0(c_3(c_2(c_1(c_2(c_0(z0)))))))))))))))))))) -> c113(1'(1(2(2(0(0(4(4(2(3(3(3(2(2(2(0(3(0(0(2(z0)))))))))))))))))))), 1'(2(2(0(0(4(4(2(3(3(3(2(2(2(0(3(0(0(2(z0))))))))))))))))))), 2'(2(0(0(4(4(2(3(3(3(2(2(2(0(3(0(0(2(z0)))))))))))))))))), 2'(0(0(4(4(2(3(3(3(2(2(2(0(3(0(0(2(z0))))))))))))))))), 0'(0(4(4(2(3(3(3(2(2(2(0(3(0(0(2(z0)))))))))))))))), 0'(4(4(2(3(3(3(2(2(2(0(3(0(0(2(z0))))))))))))))), 4'(4(2(3(3(3(2(2(2(0(3(0(0(2(z0)))))))))))))), 4'(2(3(3(3(2(2(2(0(3(0(0(2(z0))))))))))))), 2'(3(3(3(2(2(2(0(3(0(0(2(z0)))))))))))), 3'(3(3(2(2(2(0(3(0(0(2(z0))))))))))), 3'(3(2(2(2(0(3(0(0(2(z0)))))))))), 3'(2(2(2(0(3(0(0(2(z0))))))))), 2'(2(2(0(3(0(0(2(z0)))))))), 2'(2(0(3(0(0(2(z0))))))), 2'(0(3(0(0(2(z0)))))), 0'(3(0(0(2(z0))))), 3'(0(0(2(z0)))), 0'(0(2(z0))), 0'(2(z0)), 2'(z0))
S tuples:
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   0'(c_0(c_2(c_1(c_0(c_3(c_1(c_3(c_1(c_3(c_3(c_3(c_2(c_4(c_0(c_0(c_1(c_2(c_0(c_4(z0)))))))))))))))))))) -> c12(4'(4(1(4(4(3(2(1(1(0(2(2(1(2(1(0(3(4(2(2(z0)))))))))))))))))))), 4'(1(4(4(3(2(1(1(0(2(2(1(2(1(0(3(4(2(2(z0))))))))))))))))))), 1'(4(4(3(2(1(1(0(2(2(1(2(1(0(3(4(2(2(z0)))))))))))))))))), 4'(4(3(2(1(1(0(2(2(1(2(1(0(3(4(2(2(z0))))))))))))))))), 4'(3(2(1(1(0(2(2(1(2(1(0(3(4(2(2(z0)))))))))))))))), 3'(2(1(1(0(2(2(1(2(1(0(3(4(2(2(z0))))))))))))))), 2'(1(1(0(2(2(1(2(1(0(3(4(2(2(z0)))))))))))))), 1'(1(0(2(2(1(2(1(0(3(4(2(2(z0))))))))))))), 1'(0(2(2(1(2(1(0(3(4(2(2(z0)))))))))))), 0'(2(2(1(2(1(0(3(4(2(2(z0))))))))))), 2'(2(1(2(1(0(3(4(2(2(z0)))))))))), 2'(1(2(1(0(3(4(2(2(z0))))))))), 1'(2(1(0(3(4(2(2(z0)))))))), 2'(1(0(3(4(2(2(z0))))))), 1'(0(3(4(2(2(z0)))))), 0'(3(4(2(2(z0))))), 3'(4(2(2(z0)))), 4'(2(2(z0))), 2'(2(z0)), 2'(z0))
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   4'(c_4(c_0(c_3(c_0(c_4(c_2(c_4(c_2(c_3(c_0(c_2(c_2(c_0(c_4(c_3(c_3(c_4(c_2(c_2(z0)))))))))))))))))))) -> c105(2'(3(3(1(0(2(2(3(1(4(0(0(1(2(2(0(4(4(2(2(z0)))))))))))))))))))), 3'(3(1(0(2(2(3(1(4(0(0(1(2(2(0(4(4(2(2(z0))))))))))))))))))), 3'(1(0(2(2(3(1(4(0(0(1(2(2(0(4(4(2(2(z0)))))))))))))))))), 1'(0(2(2(3(1(4(0(0(1(2(2(0(4(4(2(2(z0))))))))))))))))), 0'(2(2(3(1(4(0(0(1(2(2(0(4(4(2(2(z0)))))))))))))))), 2'(2(3(1(4(0(0(1(2(2(0(4(4(2(2(z0))))))))))))))), 2'(3(1(4(0(0(1(2(2(0(4(4(2(2(z0)))))))))))))), 3'(1(4(0(0(1(2(2(0(4(4(2(2(z0))))))))))))), 1'(4(0(0(1(2(2(0(4(4(2(2(z0)))))))))))), 4'(0(0(1(2(2(0(4(4(2(2(z0))))))))))), 0'(0(1(2(2(0(4(4(2(2(z0)))))))))), 0'(1(2(2(0(4(4(2(2(z0))))))))), 1'(2(2(0(4(4(2(2(z0)))))))), 2'(2(0(4(4(2(2(z0))))))), 2'(0(4(4(2(2(z0)))))), 0'(4(4(2(2(z0))))), 4'(4(2(2(z0)))), 4'(2(2(z0))), 2'(2(z0)), 2'(z0))
   4'(c_0(c_0(c_0(c_0(c_4(c_2(c_1(c_1(c_1(c_1(c_3(c_2(c_4(c_0(c_0(c_3(c_2(c_4(c_1(z0)))))))))))))))))))) -> c106(2'(1(2(2(0(2(4(3(1(0(4(1(4(0(3(4(1(3(4(4(z0)))))))))))))))))))), 1'(2(2(0(2(4(3(1(0(4(1(4(0(3(4(1(3(4(4(z0))))))))))))))))))), 2'(2(0(2(4(3(1(0(4(1(4(0(3(4(1(3(4(4(z0)))))))))))))))))), 2'(0(2(4(3(1(0(4(1(4(0(3(4(1(3(4(4(z0))))))))))))))))), 0'(2(4(3(1(0(4(1(4(0(3(4(1(3(4(4(z0)))))))))))))))), 2'(4(3(1(0(4(1(4(0(3(4(1(3(4(4(z0))))))))))))))), 4'(3(1(0(4(1(4(0(3(4(1(3(4(4(z0)))))))))))))), 3'(1(0(4(1(4(0(3(4(1(3(4(4(z0))))))))))))), 1'(0(4(1(4(0(3(4(1(3(4(4(z0)))))))))))), 0'(4(1(4(0(3(4(1(3(4(4(z0))))))))))), 4'(1(4(0(3(4(1(3(4(4(z0)))))))))), 1'(4(0(3(4(1(3(4(4(z0))))))))), 4'(0(3(4(1(3(4(4(z0)))))))), 0'(3(4(1(3(4(4(z0))))))), 3'(4(1(3(4(4(z0)))))), 4'(1(3(4(4(z0))))), 1'(3(4(4(z0)))), 3'(4(4(z0))), 4'(4(z0)), 4'(z0))
   4'(c_4(c_2(c_2(c_0(c_0(c_3(c_0(c_3(c_1(c_2(c_3(c_3(c_1(c_2(c_2(c_2(c_4(c_4(c_4(z0)))))))))))))))))))) -> c107(4'(2(3(0(2(2(0(2(2(4(3(1(1(4(4(2(4(2(3(3(z0)))))))))))))))))))), 2'(3(0(2(2(0(2(2(4(3(1(1(4(4(2(4(2(3(3(z0))))))))))))))))))), 3'(0(2(2(0(2(2(4(3(1(1(4(4(2(4(2(3(3(z0)))))))))))))))))), 0'(2(2(0(2(2(4(3(1(1(4(4(2(4(2(3(3(z0))))))))))))))))), 2'(2(0(2(2(4(3(1(1(4(4(2(4(2(3(3(z0)))))))))))))))), 2'(0(2(2(4(3(1(1(4(4(2(4(2(3(3(z0))))))))))))))), 0'(2(2(4(3(1(1(4(4(2(4(2(3(3(z0)))))))))))))), 2'(2(4(3(1(1(4(4(2(4(2(3(3(z0))))))))))))), 2'(4(3(1(1(4(4(2(4(2(3(3(z0)))))))))))), 4'(3(1(1(4(4(2(4(2(3(3(z0))))))))))), 3'(1(1(4(4(2(4(2(3(3(z0)))))))))), 1'(1(4(4(2(4(2(3(3(z0))))))))), 1'(4(4(2(4(2(3(3(z0)))))))), 4'(4(2(4(2(3(3(z0))))))), 4'(2(4(2(3(3(z0)))))), 2'(4(2(3(3(z0))))), 4'(2(3(3(z0)))), 2'(3(3(z0))), 3'(3(z0)), 3'(z0))
   4'(c_2(c_3(c_0(c_2(c_2(c_4(c_0(c_0(c_3(c_1(c_2(c_0(c_4(c_2(c_0(c_2(c_3(c_3(c_0(z0)))))))))))))))))))) -> c108(2'(2(2(2(4(0(3(0(4(1(2(2(1(3(3(2(0(3(1(0(z0)))))))))))))))))))), 2'(2(2(4(0(3(0(4(1(2(2(1(3(3(2(0(3(1(0(z0))))))))))))))))))), 2'(2(4(0(3(0(4(1(2(2(1(3(3(2(0(3(1(0(z0)))))))))))))))))), 2'(4(0(3(0(4(1(2(2(1(3(3(2(0(3(1(0(z0))))))))))))))))), 4'(0(3(0(4(1(2(2(1(3(3(2(0(3(1(0(z0)))))))))))))))), 0'(3(0(4(1(2(2(1(3(3(2(0(3(1(0(z0))))))))))))))), 3'(0(4(1(2(2(1(3(3(2(0(3(1(0(z0)))))))))))))), 0'(4(1(2(2(1(3(3(2(0(3(1(0(z0))))))))))))), 4'(1(2(2(1(3(3(2(0(3(1(0(z0)))))))))))), 1'(2(2(1(3(3(2(0(3(1(0(z0))))))))))), 2'(2(1(3(3(2(0(3(1(0(z0)))))))))), 2'(1(3(3(2(0(3(1(0(z0))))))))), 1'(3(3(2(0(3(1(0(z0)))))))), 3'(3(2(0(3(1(0(z0))))))), 3'(2(0(3(1(0(z0)))))), 2'(0(3(1(0(z0))))), 0'(3(1(0(z0)))), 3'(1(0(z0))), 1'(0(z0)), 0'(z0))
   4'(c_1(c_1(c_1(c_4(c_2(c_4(c_2(c_0(c_2(c_3(c_3(c_1(c_3(c_0(c_2(c_2(c_0(c_0(c_3(z0)))))))))))))))))))) -> c109(0'(4(2(1(2(2(2(0(4(2(3(3(0(2(1(4(0(1(4(2(z0)))))))))))))))))))), 4'(2(1(2(2(2(0(4(2(3(3(0(2(1(4(0(1(4(2(z0))))))))))))))))))), 2'(1(2(2(2(0(4(2(3(3(0(2(1(4(0(1(4(2(z0)))))))))))))))))), 1'(2(2(2(0(4(2(3(3(0(2(1(4(0(1(4(2(z0))))))))))))))))), 2'(2(2(0(4(2(3(3(0(2(1(4(0(1(4(2(z0)))))))))))))))), 2'(2(0(4(2(3(3(0(2(1(4(0(1(4(2(z0))))))))))))))), 2'(0(4(2(3(3(0(2(1(4(0(1(4(2(z0)))))))))))))), 0'(4(2(3(3(0(2(1(4(0(1(4(2(z0))))))))))))), 4'(2(3(3(0(2(1(4(0(1(4(2(z0)))))))))))), 2'(3(3(0(2(1(4(0(1(4(2(z0))))))))))), 3'(3(0(2(1(4(0(1(4(2(z0)))))))))), 3'(0(2(1(4(0(1(4(2(z0))))))))), 0'(2(1(4(0(1(4(2(z0)))))))), 2'(1(4(0(1(4(2(z0))))))), 1'(4(0(1(4(2(z0)))))), 4'(0(1(4(2(z0))))), 0'(1(4(2(z0)))), 1'(4(2(z0))), 4'(2(z0)), 2'(z0))
   4'(c_0(c_2(c_2(c_4(c_3(c_1(c_3(c_4(c_0(c_0(c_0(c_2(c_2(c_2(c_3(c_0(c_4(c_2(c_4(z0)))))))))))))))))))) -> c110(2'(1(3(3(4(4(1(0(3(2(2(3(0(0(4(3(3(4(2(2(z0)))))))))))))))))))), 1'(3(3(4(4(1(0(3(2(2(3(0(0(4(3(3(4(2(2(z0))))))))))))))))))), 3'(3(4(4(1(0(3(2(2(3(0(0(4(3(3(4(2(2(z0)))))))))))))))))), 3'(4(4(1(0(3(2(2(3(0(0(4(3(3(4(2(2(z0))))))))))))))))), 4'(4(1(0(3(2(2(3(0(0(4(3(3(4(2(2(z0)))))))))))))))), 4'(1(0(3(2(2(3(0(0(4(3(3(4(2(2(z0))))))))))))))), 1'(0(3(2(2(3(0(0(4(3(3(4(2(2(z0)))))))))))))), 0'(3(2(2(3(0(0(4(3(3(4(2(2(z0))))))))))))), 3'(2(2(3(0(0(4(3(3(4(2(2(z0)))))))))))), 2'(2(3(0(0(4(3(3(4(2(2(z0))))))))))), 2'(3(0(0(4(3(3(4(2(2(z0)))))))))), 3'(0(0(4(3(3(4(2(2(z0))))))))), 0'(0(4(3(3(4(2(2(z0)))))))), 0'(4(3(3(4(2(2(z0))))))), 4'(3(3(4(2(2(z0)))))), 3'(3(4(2(2(z0))))), 3'(4(2(2(z0)))), 4'(2(2(z0))), 2'(2(z0)), 2'(z0))
   4'(c_3(c_3(c_3(c_0(c_2(c_1(c_2(c_2(c_3(c_2(c_0(c_1(c_1(c_4(c_1(c_3(c_4(c_2(c_4(z0)))))))))))))))))))) -> c111(3'(4(1(3(3(2(1(2(1(1(0(2(2(0(0(1(1(2(3(2(z0)))))))))))))))))))), 4'(1(3(3(2(1(2(1(1(0(2(2(0(0(1(1(2(3(2(z0))))))))))))))))))), 1'(3(3(2(1(2(1(1(0(2(2(0(0(1(1(2(3(2(z0)))))))))))))))))), 3'(3(2(1(2(1(1(0(2(2(0(0(1(1(2(3(2(z0))))))))))))))))), 3'(2(1(2(1(1(0(2(2(0(0(1(1(2(3(2(z0)))))))))))))))), 2'(1(2(1(1(0(2(2(0(0(1(1(2(3(2(z0))))))))))))))), 1'(2(1(1(0(2(2(0(0(1(1(2(3(2(z0)))))))))))))), 2'(1(1(0(2(2(0(0(1(1(2(3(2(z0))))))))))))), 1'(1(0(2(2(0(0(1(1(2(3(2(z0)))))))))))), 1'(0(2(2(0(0(1(1(2(3(2(z0))))))))))), 0'(2(2(0(0(1(1(2(3(2(z0)))))))))), 2'(2(0(0(1(1(2(3(2(z0))))))))), 2'(0(0(1(1(2(3(2(z0)))))))), 0'(0(1(1(2(3(2(z0))))))), 0'(1(1(2(3(2(z0)))))), 1'(1(2(3(2(z0))))), 1'(2(3(2(z0)))), 2'(3(2(z0))), 3'(2(z0)), 2'(z0))
   4'(c_4(c_4(c_1(c_3(c_3(c_4(c_4(c_2(c_2(c_0(c_1(c_0(c_2(c_4(c_3(c_2(c_2(c_0(c_2(z0)))))))))))))))))))) -> c112(4'(3(2(3(2(2(0(0(1(3(4(2(2(2(4(4(1(2(0(2(z0)))))))))))))))))))), 3'(2(3(2(2(0(0(1(3(4(2(2(2(4(4(1(2(0(2(z0))))))))))))))))))), 2'(3(2(2(0(0(1(3(4(2(2(2(4(4(1(2(0(2(z0)))))))))))))))))), 3'(2(2(0(0(1(3(4(2(2(2(4(4(1(2(0(2(z0))))))))))))))))), 2'(2(0(0(1(3(4(2(2(2(4(4(1(2(0(2(z0)))))))))))))))), 2'(0(0(1(3(4(2(2(2(4(4(1(2(0(2(z0))))))))))))))), 0'(0(1(3(4(2(2(2(4(4(1(2(0(2(z0)))))))))))))), 0'(1(3(4(2(2(2(4(4(1(2(0(2(z0))))))))))))), 1'(3(4(2(2(2(4(4(1(2(0(2(z0)))))))))))), 3'(4(2(2(2(4(4(1(2(0(2(z0))))))))))), 4'(2(2(2(4(4(1(2(0(2(z0)))))))))), 2'(2(2(4(4(1(2(0(2(z0))))))))), 2'(2(4(4(1(2(0(2(z0)))))))), 2'(4(4(1(2(0(2(z0))))))), 4'(4(1(2(0(2(z0)))))), 4'(1(2(0(2(z0))))), 1'(2(0(2(z0)))), 2'(0(2(z0))), 0'(2(z0)), 2'(z0))
   4'(c_0(c_4(c_2(c_2(c_3(c_3(c_2(c_2(c_1(c_2(c_1(c_0(c_1(c_0(c_3(c_2(c_1(c_2(c_0(z0)))))))))))))))))))) -> c113(1'(1(2(2(0(0(4(4(2(3(3(3(2(2(2(0(3(0(0(2(z0)))))))))))))))))))), 1'(2(2(0(0(4(4(2(3(3(3(2(2(2(0(3(0(0(2(z0))))))))))))))))))), 2'(2(0(0(4(4(2(3(3(3(2(2(2(0(3(0(0(2(z0)))))))))))))))))), 2'(0(0(4(4(2(3(3(3(2(2(2(0(3(0(0(2(z0))))))))))))))))), 0'(0(4(4(2(3(3(3(2(2(2(0(3(0(0(2(z0)))))))))))))))), 0'(4(4(2(3(3(3(2(2(2(0(3(0(0(2(z0))))))))))))))), 4'(4(2(3(3(3(2(2(2(0(3(0(0(2(z0)))))))))))))), 4'(2(3(3(3(2(2(2(0(3(0(0(2(z0))))))))))))), 2'(3(3(3(2(2(2(0(3(0(0(2(z0)))))))))))), 3'(3(3(2(2(2(0(3(0(0(2(z0))))))))))), 3'(3(2(2(2(0(3(0(0(2(z0)))))))))), 3'(2(2(2(0(3(0(0(2(z0))))))))), 2'(2(2(0(3(0(0(2(z0)))))))), 2'(2(0(3(0(0(2(z0))))))), 2'(0(3(0(0(2(z0)))))), 0'(3(0(0(2(z0))))), 3'(0(0(2(z0)))), 0'(0(2(z0))), 0'(2(z0)), 2'(z0))
K tuples:none
Defined Rule Symbols:   2_1, 3_1, 0_1, 1_1, 4_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, c29_20, c30_20, c31_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, c64_20, c65_20, c66_20, c67_20, c68_20, c69_20, c70_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_20, c90_20, c91_20, c92_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_1(c_4(c_2(c_2(c_0(c_3(c_2(c_0(c_4(c_1(c_3(c_2(c_0(c_0(c_3(c_2(c_3(c_0(c_2(z0)))))))))))))))))))) -> 2(4(2(1(2(2(3(0(2(0(1(2(2(0(1(2(0(0(4(2(z0))))))))))))))))))))
   0(c_0(c_2(c_1(c_0(c_3(c_1(c_3(c_1(c_3(c_3(c_3(c_2(c_4(c_0(c_0(c_1(c_2(c_0(c_4(z0)))))))))))))))))))) -> 4(4(1(4(4(3(2(1(1(0(2(2(1(2(1(0(3(4(2(2(z0))))))))))))))))))))
   0(c_3(c_2(c_0(c_4(c_2(c_0(c_1(c_1(c_3(c_2(c_3(c_4(c_4(c_1(c_2(c_4(c_2(c_4(c_2(z0)))))))))))))))))))) -> 2(2(4(3(4(2(3(4(1(2(1(0(0(2(0(4(1(4(2(2(z0))))))))))))))))))))
   0(c_1(c_4(c_3(c_2(c_3(c_0(c_1(c_2(c_4(c_0(c_3(c_4(c_2(c_0(c_0(c_3(c_2(c_4(c_2(z0)))))))))))))))))))) -> 2(1(3(0(0(1(4(3(1(3(2(2(2(1(3(0(2(0(0(2(z0))))))))))))))))))))
   0(c_3(c_3(c_2(c_4(c_1(c_0(c_0(c_1(c_2(c_0(c_4(c_3(c_3(c_4(c_4(c_4(c_3(c_1(c_2(z0)))))))))))))))))))) -> 4(1(2(2(2(2(4(4(2(0(3(2(1(0(4(4(1(4(2(0(z0))))))))))))))))))))
   0(c_4(c_4(c_2(c_3(c_2(c_1(c_2(c_2(c_1(c_4(c_1(c_1(c_1(c_4(c_2(c_2(c_1(c_2(c_0(z0)))))))))))))))))))) -> 3(0(0(1(4(1(2(3(3(4(2(1(1(3(2(2(1(3(2(4(z0))))))))))))))))))))
   0(c_0(c_0(c_2(c_1(c_1(c_2(c_2(c_1(c_3(c_0(c_0(c_4(c_3(c_4(c_3(c_4(c_1(c_2(c_1(z0)))))))))))))))))))) -> 0(0(0(1(2(2(2(0(4(1(4(1(2(4(3(3(1(0(3(3(z0))))))))))))))))))))
   0(c_0(c_2(c_3(c_1(c_4(c_2(c_1(c_4(c_2(c_0(c_1(c_4(c_2(c_2(c_1(c_1(c_2(c_4(c_4(z0)))))))))))))))))))) -> 1(1(2(3(3(4(4(4(2(3(2(2(1(2(0(1(2(0(4(4(z0))))))))))))))))))))
   0(c_2(c_3(c_0(c_4(c_2(c_3(c_1(c_3(c_4(c_0(c_3(c_4(c_2(c_1(c_3(c_2(c_3(c_4(c_0(z0)))))))))))))))))))) -> 4(1(2(0(3(0(1(2(3(0(2(1(3(2(0(3(0(2(4(0(z0))))))))))))))))))))
   0(c_2(c_1(c_1(c_2(c_1(c_4(c_1(c_2(c_2(c_4(c_0(c_0(c_3(c_3(c_3(c_2(c_2(c_1(c_0(z0)))))))))))))))))))) -> 4(3(3(0(2(3(4(2(4(1(2(1(4(3(4(3(3(2(2(3(z0))))))))))))))))))))
   0(c_2(c_1(c_3(c_0(c_0(c_4(c_4(c_4(c_0(c_0(c_3(c_2(c_1(c_2(c_4(c_0(c_1(c_2(c_2(z0)))))))))))))))))))) -> 0(4(0(0(2(3(0(4(1(2(3(0(3(0(1(4(2(2(3(3(z0))))))))))))))))))))
   0(c_0(c_0(c_0(c_1(c_2(c_2(c_3(c_3(c_2(c_0(c_0(c_0(c_4(c_2(c_0(c_1(c_2(c_4(c_2(z0)))))))))))))))))))) -> 1(1(1(3(0(3(0(2(3(2(2(4(1(2(3(4(1(2(2(4(z0))))))))))))))))))))
   0(c_4(c_2(c_2(c_0(c_2(c_3(c_3(c_4(c_1(c_3(c_2(c_4(c_0(c_2(c_1(c_1(c_4(c_3(c_2(z0)))))))))))))))))))) -> 2(4(3(3(0(3(1(2(3(3(4(2(0(0(4(2(0(1(2(2(z0))))))))))))))))))))
   0(c_2(c_4(c_2(c_1(c_2(c_3(c_0(c_1(c_2(c_0(c_3(c_0(c_4(c_1(c_0(c_2(c_0(c_2(c_0(z0)))))))))))))))))))) -> 3(2(3(1(0(1(2(0(2(2(3(2(0(4(4(2(0(4(4(2(z0))))))))))))))))))))
   0(c_1(c_2(c_0(c_1(c_4(c_4(c_0(c_3(c_0(c_2(c_3(c_0(c_0(c_3(c_3(c_0(c_2(c_3(c_2(z0)))))))))))))))))))) -> 1(3(3(2(4(2(1(2(1(2(0(2(0(3(2(2(4(0(3(3(z0))))))))))))))))))))
   0(c_2(c_2(c_1(c_2(c_0(c_3(c_1(c_2(c_2(c_4(c_1(c_2(c_0(c_2(c_4(c_0(c_1(c_0(c_3(z0)))))))))))))))))))) -> 2(4(3(0(3(0(2(3(0(4(2(2(2(3(3(2(4(3(1(1(z0))))))))))))))))))))
   0(c_4(c_2(c_0(c_0(c_3(c_2(c_1(c_0(c_1(c_3(c_1(c_2(c_4(c_4(c_0(c_2(c_3(c_2(c_2(z0)))))))))))))))))))) -> 2(1(2(2(3(3(2(0(4(4(3(3(1(0(0(3(4(2(2(4(z0))))))))))))))))))))
   1(z0) -> c_1(z0)
   1(c_3(c_3(c_4(c_4(c_2(c_3(c_1(c_3(c_3(c_0(c_3(c_4(c_2(c_2(c_4(c_2(c_2(c_4(c_4(z0)))))))))))))))))))) -> 0(4(2(4(3(3(2(1(4(2(4(4(3(2(2(3(1(2(2(0(z0))))))))))))))))))))
   1(c_0(c_0(c_1(c_2(c_3(c_4(c_2(c_0(c_4(c_4(c_2(c_2(c_4(c_1(c_2(c_2(c_2(c_4(c_4(z0)))))))))))))))))))) -> 2(4(3(0(2(0(3(1(2(1(1(2(2(3(0(2(4(3(1(3(z0))))))))))))))))))))
   1(c_0(c_0(c_3(c_1(c_4(c_2(c_1(c_2(c_2(c_2(c_2(c_2(c_3(c_0(c_1(c_4(c_2(c_0(c_4(z0)))))))))))))))))))) -> 2(4(4(0(3(3(0(3(3(3(2(4(2(2(0(0(0(0(3(3(z0))))))))))))))))))))
   1(c_1(c_1(c_1(c_2(c_4(c_4(c_3(c_0(c_2(c_3(c_3(c_1(c_3(c_0(c_1(c_4(c_2(c_2(c_3(z0)))))))))))))))))))) -> 3(4(2(1(1(0(1(2(1(4(4(2(3(3(4(2(1(2(3(2(z0))))))))))))))))))))
   1(c_0(c_0(c_4(c_0(c_0(c_2(c_3(c_2(c_2(c_3(c_3(c_1(c_3(c_4(c_3(c_2(c_2(c_1(c_1(z0)))))))))))))))))))) -> 1(2(2(2(0(0(2(2(3(0(4(4(2(1(4(2(2(2(4(1(z0))))))))))))))))))))
   1(c_1(c_2(c_0(c_4(c_1(c_3(c_1(c_2(c_2(c_0(c_4(c_0(c_2(c_3(c_4(c_4(c_0(c_2(c_3(z0)))))))))))))))))))) -> 1(0(2(2(4(0(3(1(0(0(3(0(2(1(1(2(2(3(1(0(z0))))))))))))))))))))
   1(c_3(c_2(c_3(c_1(c_0(c_3(c_3(c_0(c_1(c_2(c_0(c_2(c_2(c_2(c_0(c_1(c_3(c_1(c_0(z0)))))))))))))))))))) -> 3(3(4(3(1(2(2(4(4(0(2(2(2(2(0(0(2(0(1(4(z0))))))))))))))))))))
   1(c_1(c_2(c_1(c_3(c_4(c_0(c_2(c_2(c_3(c_3(c_3(c_3(c_0(c_1(c_0(c_4(c_3(c_0(c_2(z0)))))))))))))))))))) -> 3(2(1(4(2(2(3(4(2(3(1(4(2(3(0(3(3(4(0(3(z0))))))))))))))))))))
   1(c_1(c_3(c_3(c_1(c_1(c_3(c_2(c_3(c_2(c_0(c_4(c_2(c_0(c_2(c_1(c_1(c_0(c_4(c_1(z0)))))))))))))))))))) -> 2(3(4(2(0(0(0(0(3(1(2(2(4(1(2(3(1(0(4(4(z0))))))))))))))))))))
   1(c_3(c_1(c_4(c_0(c_1(c_4(c_3(c_0(c_4(c_2(c_1(c_0(c_0(c_1(c_2(c_3(c_2(c_2(c_3(z0)))))))))))))))))))) -> 0(4(0(3(0(3(0(3(2(0(1(0(0(2(1(3(2(1(2(0(z0))))))))))))))))))))
   1(c_0(c_2(c_1(c_1(c_1(c_2(c_0(c_0(c_2(c_1(c_3(c_3(c_3(c_1(c_4(c_1(c_0(c_0(c_1(z0)))))))))))))))))))) -> 2(2(1(0(1(4(3(2(3(0(0(0(4(3(2(1(1(2(0(2(z0))))))))))))))))))))
   1(c_0(c_4(c_0(c_1(c_3(c_0(c_2(c_3(c_2(c_1(c_2(c_3(c_2(c_4(c_2(c_4(c_3(c_4(c_2(z0)))))))))))))))))))) -> 2(3(0(2(0(2(2(2(3(4(1(0(2(3(1(2(1(2(4(2(z0))))))))))))))))))))
   1(c_4(c_4(c_2(c_3(c_1(c_2(c_3(c_3(c_1(c_0(c_1(c_3(c_2(c_1(c_2(c_1(c_2(c_2(c_2(z0)))))))))))))))))))) -> 2(0(2(0(2(0(2(0(4(2(4(2(3(2(3(1(2(2(2(1(z0))))))))))))))))))))
   1(c_1(c_0(c_0(c_1(c_3(c_2(c_4(c_3(c_1(c_4(c_0(c_4(c_1(c_2(c_2(c_2(c_3(c_3(c_2(z0)))))))))))))))))))) -> 3(1(4(3(1(0(3(4(0(3(2(2(4(0(2(3(3(2(2(0(z0))))))))))))))))))))
   2(z0) -> c_2(z0)
   2(c_1(c_3(c_4(c_1(c_0(c_3(c_2(c_0(c_3(c_0(c_1(c_1(c_4(c_0(c_0(c_2(c_4(c_4(c_1(z0)))))))))))))))))))) -> 3(0(3(2(1(4(1(4(0(0(2(2(0(1(1(0(4(1(2(1(z0))))))))))))))))))))
   2(c_1(c_4(c_4(c_0(c_1(c_2(c_0(c_2(c_3(c_0(c_2(c_1(c_2(c_3(c_0(c_2(c_3(c_1(c_3(z0)))))))))))))))))))) -> 0(3(2(3(2(3(0(2(2(0(2(3(1(3(3(3(1(2(4(2(z0))))))))))))))))))))
   2(c_3(c_4(c_4(c_4(c_3(c_0(c_0(c_2(c_3(c_4(c_3(c_0(c_4(c_3(c_0(c_1(c_2(c_4(c_2(z0)))))))))))))))))))) -> 3(3(2(0(4(0(2(4(2(3(2(2(4(4(0(4(0(3(4(1(z0))))))))))))))))))))
   2(c_0(c_3(c_2(c_0(c_3(c_2(c_4(c_1(c_2(c_3(c_1(c_4(c_1(c_3(c_3(c_3(c_0(c_1(c_3(z0)))))))))))))))))))) -> 3(0(3(2(1(1(1(3(4(0(3(2(0(2(2(3(2(0(3(2(z0))))))))))))))))))))
   2(c_4(c_2(c_2(c_1(c_2(c_4(c_2(c_3(c_0(c_1(c_0(c_2(c_1(c_2(c_0(c_0(c_0(c_4(c_0(z0)))))))))))))))))))) -> 2(3(0(2(0(3(0(2(1(0(4(2(2(1(3(1(3(0(4(3(z0))))))))))))))))))))
   2(c_3(c_1(c_2(c_3(c_3(c_3(c_1(c_1(c_1(c_0(c_1(c_2(c_4(c_0(c_4(c_2(c_1(c_2(c_2(z0)))))))))))))))))))) -> 2(2(0(1(4(3(2(2(4(3(0(2(4(3(2(0(0(1(0(2(z0))))))))))))))))))))
   2(c_4(c_0(c_3(c_1(c_2(c_1(c_1(c_2(c_0(c_2(c_2(c_0(c_3(c_2(c_1(c_1(c_0(c_1(c_3(z0)))))))))))))))))))) -> 2(3(3(1(3(1(2(1(1(0(2(0(0(2(3(3(0(3(3(3(z0))))))))))))))))))))
   2(c_4(c_3(c_2(c_0(c_2(c_4(c_1(c_2(c_0(c_4(c_1(c_2(c_3(c_1(c_2(c_3(c_4(c_1(c_1(z0)))))))))))))))))))) -> 2(0(1(1(2(2(4(3(2(2(1(3(0(1(2(3(0(4(4(4(z0))))))))))))))))))))
   2(c_0(c_0(c_0(c_2(c_2(c_3(c_1(c_3(c_1(c_0(c_4(c_3(c_3(c_0(c_2(c_4(c_1(c_0(c_3(z0)))))))))))))))))))) -> 4(0(3(4(3(4(0(0(2(2(2(1(2(2(2(1(1(2(0(4(z0))))))))))))))))))))
   2(c_4(c_3(c_2(c_2(c_4(c_0(c_3(c_2(c_4(c_3(c_1(c_0(c_4(c_4(c_3(c_3(c_2(c_2(c_1(z0)))))))))))))))))))) -> 3(4(3(0(2(2(2(4(3(2(0(3(0(3(2(0(3(0(4(2(z0))))))))))))))))))))
   2(c_3(c_0(c_1(c_3(c_3(c_4(c_2(c_1(c_4(c_4(c_2(c_3(c_1(c_1(c_1(c_2(c_3(c_0(c_2(z0)))))))))))))))))))) -> 2(2(3(0(4(4(0(0(1(3(3(0(4(3(4(2(2(4(3(2(z0))))))))))))))))))))
   2(c_4(c_0(c_0(c_3(c_2(c_2(c_2(c_1(c_1(c_4(c_0(c_1(c_2(c_2(c_3(c_4(c_2(c_3(c_4(z0)))))))))))))))))))) -> 3(1(3(2(2(4(0(3(2(1(0(0(2(3(3(3(2(3(4(3(z0))))))))))))))))))))
   2(c_0(c_4(c_2(c_2(c_3(c_4(c_0(c_1(c_0(c_3(c_2(c_1(c_3(c_0(c_3(c_1(c_1(c_3(c_0(z0)))))))))))))))))))) -> 0(3(0(1(2(2(2(0(0(3(3(2(1(1(0(4(2(1(2(4(z0))))))))))))))))))))
   2(c_3(c_4(c_0(c_0(c_4(c_3(c_3(c_2(c_3(c_4(c_0(c_2(c_0(c_4(c_4(c_0(c_2(c_4(c_2(z0)))))))))))))))))))) -> 1(3(1(3(3(2(0(2(2(3(0(1(2(2(2(4(1(2(1(1(z0))))))))))))))))))))
   2(c_1(c_3(c_2(c_2(c_0(c_4(c_4(c_0(c_4(c_1(c_2(c_3(c_3(c_0(c_2(c_1(c_4(c_4(c_4(z0)))))))))))))))))))) -> 4(3(2(3(2(2(2(1(4(1(2(2(0(1(1(1(0(0(3(4(z0))))))))))))))))))))
   2(c_0(c_3(c_4(c_1(c_2(c_0(c_2(c_3(c_3(c_1(c_2(c_0(c_1(c_2(c_0(c_4(c_4(c_4(c_2(z0)))))))))))))))))))) -> 2(2(2(4(3(2(0(1(4(1(2(3(0(3(1(3(3(1(2(4(z0))))))))))))))))))))
   2(c_0(c_2(c_1(c_1(c_0(c_1(c_0(c_2(c_2(c_0(c_1(c_2(c_0(c_2(c_4(c_0(c_1(c_2(c_0(z0)))))))))))))))))))) -> 3(0(2(4(1(2(0(4(2(1(3(0(2(3(4(2(3(3(4(0(z0))))))))))))))))))))
   2(c_4(c_4(c_4(c_2(c_2(c_2(c_0(c_4(c_3(c_4(c_3(c_4(c_2(c_3(c_1(c_4(c_3(c_1(c_3(z0)))))))))))))))))))) -> 2(3(4(2(1(1(1(3(2(3(0(2(4(1(2(0(2(1(1(4(z0))))))))))))))))))))
   2(c_3(c_1(c_1(c_3(c_2(c_1(c_1(c_1(c_3(c_2(c_3(c_4(c_2(c_2(c_3(c_4(c_3(c_3(c_0(z0)))))))))))))))))))) -> 0(4(4(2(4(0(2(3(2(0(2(1(2(4(4(3(2(3(2(2(z0))))))))))))))))))))
   2(c_0(c_2(c_4(c_2(c_2(c_2(c_4(c_3(c_0(c_0(c_1(c_0(c_1(c_0(c_3(c_0(c_3(c_2(c_4(z0)))))))))))))))))))) -> 0(3(0(2(2(0(2(1(3(2(3(3(0(2(0(4(3(3(3(2(z0))))))))))))))))))))
   2(c_4(c_1(c_3(c_2(c_2(c_1(c_4(c_2(c_1(c_1(c_1(c_2(c_2(c_2(c_0(c_3(c_0(c_2(c_4(z0)))))))))))))))))))) -> 3(3(1(4(3(2(3(2(2(3(2(1(1(0(3(3(3(4(0(2(z0))))))))))))))))))))
   2(c_0(c_0(c_0(c_3(c_1(c_0(c_2(c_4(c_2(c_2(c_2(c_4(c_0(c_4(c_0(c_1(c_0(c_3(c_4(z0)))))))))))))))))))) -> 1(4(2(4(4(4(4(3(2(4(4(3(2(2(0(0(4(1(2(2(z0))))))))))))))))))))
   2(c_3(c_3(c_3(c_0(c_0(c_1(c_0(c_2(c_4(c_3(c_1(c_1(c_3(c_2(c_1(c_2(c_2(c_2(c_1(z0)))))))))))))))))))) -> 3(4(2(2(0(0(0(0(2(4(2(3(2(0(3(2(3(0(2(3(z0))))))))))))))))))))
   2(c_1(c_4(c_1(c_3(c_4(c_3(c_2(c_2(c_0(c_1(c_0(c_2(c_1(c_0(c_3(c_4(c_2(c_4(c_2(z0)))))))))))))))))))) -> 4(2(2(2(3(3(4(1(4(0(2(3(2(1(0(3(2(3(3(4(z0))))))))))))))))))))
   2(c_4(c_2(c_2(c_1(c_1(c_2(c_3(c_0(c_1(c_0(c_0(c_3(c_2(c_1(c_0(c_0(c_1(c_0(c_2(z0)))))))))))))))))))) -> 2(2(2(3(3(4(1(4(3(0(0(2(0(1(1(2(3(0(2(4(z0))))))))))))))))))))
   2(c_4(c_0(c_0(c_4(c_2(c_1(c_3(c_3(c_3(c_2(c_0(c_4(c_1(c_4(c_0(c_2(c_1(c_3(c_2(z0)))))))))))))))))))) -> 0(4(2(4(0(3(2(1(2(4(2(2(3(1(0(1(2(3(3(2(z0))))))))))))))))))))
   2(c_0(c_4(c_2(c_1(c_3(c_4(c_4(c_2(c_1(c_0(c_3(c_2(c_1(c_3(c_2(c_1(c_4(c_2(c_4(z0)))))))))))))))))))) -> 0(2(4(2(2(2(0(2(4(3(3(2(3(3(4(1(0(3(0(4(z0))))))))))))))))))))
   3(z0) -> c_3(z0)
   3(c_0(c_1(c_4(c_2(c_2(c_3(c_4(c_4(c_3(c_0(c_2(c_1(c_4(c_1(c_0(c_1(c_0(c_2(c_3(z0)))))))))))))))))))) -> 4(2(0(4(1(1(2(0(2(4(0(3(4(4(3(2(0(3(3(2(z0))))))))))))))))))))
   3(c_1(c_1(c_1(c_2(c_0(c_1(c_3(c_3(c_2(c_1(c_3(c_4(c_1(c_2(c_2(c_3(c_3(c_2(c_3(z0)))))))))))))))))))) -> 2(3(2(2(4(3(4(2(3(1(2(2(4(2(3(0(4(3(0(3(z0))))))))))))))))))))
   3(c_2(c_2(c_3(c_4(c_3(c_2(c_2(c_0(c_4(c_1(c_4(c_3(c_4(c_2(c_1(c_4(c_1(c_0(c_2(z0)))))))))))))))))))) -> 2(1(3(3(3(2(2(4(0(4(0(4(2(0(2(1(3(3(3(3(z0))))))))))))))))))))
   3(c_3(c_2(c_4(c_3(c_0(c_2(c_1(c_4(c_3(c_3(c_4(c_4(c_1(c_1(c_4(c_3(c_3(c_2(c_2(z0)))))))))))))))))))) -> 4(1(2(3(2(0(3(3(0(3(2(3(1(1(2(0(1(0(2(2(z0))))))))))))))))))))
   3(c_1(c_4(c_3(c_4(c_2(c_1(c_1(c_1(c_4(c_3(c_1(c_3(c_2(c_2(c_4(c_2(c_2(c_1(c_1(z0)))))))))))))))))))) -> 2(1(2(4(2(4(1(4(2(1(4(0(0(1(2(3(3(2(1(3(z0))))))))))))))))))))
   3(c_3(c_0(c_4(c_4(c_1(c_0(c_2(c_3(c_2(c_1(c_2(c_2(c_3(c_3(c_1(c_0(c_2(c_4(c_1(z0)))))))))))))))))))) -> 4(2(1(2(3(3(3(3(0(2(0(3(0(2(3(1(2(1(1(0(z0))))))))))))))))))))
   3(c_1(c_1(c_0(c_0(c_2(c_2(c_4(c_2(c_2(c_2(c_2(c_1(c_2(c_2(c_1(c_1(c_1(c_1(c_4(z0)))))))))))))))))))) -> 4(2(1(4(1(3(2(2(4(4(2(3(3(3(3(2(4(3(2(3(z0))))))))))))))))))))
   3(c_0(c_0(c_1(c_0(c_2(c_3(c_3(c_2(c_0(c_2(c_1(c_1(c_0(c_4(c_3(c_2(c_0(c_4(c_2(z0)))))))))))))))))))) -> 1(0(0(2(1(4(4(0(2(3(0(2(4(4(2(3(2(4(0(2(z0))))))))))))))))))))
   3(c_2(c_3(c_2(c_2(c_0(c_0(c_4(c_1(c_0(c_0(c_4(c_0(c_3(c_3(c_2(c_2(c_1(c_0(c_3(z0)))))))))))))))))))) -> 1(3(1(2(0(4(0(3(2(4(3(0(2(1(2(2(1(2(2(3(z0))))))))))))))))))))
   3(c_4(c_4(c_4(c_3(c_1(c_4(c_3(c_0(c_2(c_2(c_0(c_4(c_4(c_1(c_3(c_3(c_3(c_2(c_2(z0)))))))))))))))))))) -> 4(2(2(3(0(0(3(1(1(1(4(4(3(0(3(2(1(0(2(2(z0))))))))))))))))))))
   3(c_0(c_1(c_0(c_2(c_2(c_3(c_1(c_2(c_1(c_1(c_1(c_0(c_0(c_2(c_2(c_1(c_3(c_1(c_3(z0)))))))))))))))))))) -> 3(1(4(1(2(1(0(3(2(0(0(1(0(2(4(0(2(2(3(2(z0))))))))))))))))))))
   3(c_3(c_1(c_0(c_2(c_4(c_2(c_3(c_1(c_0(c_2(c_4(c_4(c_4(c_0(c_0(c_2(c_1(c_1(c_2(z0)))))))))))))))))))) -> 2(4(2(3(2(3(4(0(4(2(4(3(1(0(1(2(0(3(2(0(z0))))))))))))))))))))
   3(c_2(c_0(c_3(c_2(c_4(c_4(c_2(c_2(c_2(c_0(c_1(c_2(c_2(c_3(c_4(c_0(c_2(c_4(c_1(z0)))))))))))))))))))) -> 0(0(2(3(0(2(1(2(2(2(3(2(1(3(4(3(4(2(2(2(z0))))))))))))))))))))
   3(c_3(c_3(c_0(c_2(c_0(c_2(c_2(c_1(c_0(c_0(c_4(c_4(c_2(c_0(c_2(c_3(c_0(c_2(c_4(z0)))))))))))))))))))) -> 2(3(3(2(4(3(4(2(3(3(1(0(1(2(4(3(0(3(3(2(z0))))))))))))))))))))
   3(c_0(c_1(c_4(c_3(c_1(c_2(c_0(c_3(c_2(c_3(c_2(c_2(c_0(c_2(c_2(c_3(c_1(c_2(c_2(z0)))))))))))))))))))) -> 0(2(2(3(0(2(0(3(1(3(1(2(2(2(3(2(2(0(4(2(z0))))))))))))))))))))
   3(c_4(c_2(c_1(c_4(c_1(c_0(c_2(c_4(c_3(c_3(c_4(c_3(c_3(c_1(c_2(c_2(c_3(c_3(c_3(z0)))))))))))))))))))) -> 4(2(0(1(2(0(2(0(0(2(1(4(0(3(2(2(3(2(2(4(z0))))))))))))))))))))
   3(c_1(c_0(c_3(c_2(c_2(c_1(c_1(c_4(c_4(c_0(c_2(c_2(c_4(c_3(c_2(c_2(c_3(c_4(c_2(z0)))))))))))))))))))) -> 2(0(4(3(3(2(2(2(4(0(4(3(2(2(2(0(3(0(4(2(z0))))))))))))))))))))
   3(c_0(c_1(c_3(c_2(c_0(c_1(c_3(c_4(c_2(c_3(c_1(c_2(c_2(c_1(c_2(c_3(c_1(c_3(c_1(z0)))))))))))))))))))) -> 2(3(2(3(0(2(1(2(2(4(3(3(3(2(1(0(1(3(2(2(z0))))))))))))))))))))
   3(c_0(c_2(c_4(c_0(c_4(c_0(c_1(c_2(c_1(c_4(c_3(c_0(c_4(c_3(c_0(c_3(c_3(c_3(c_2(z0)))))))))))))))))))) -> 1(0(4(3(1(4(2(3(3(4(3(0(0(2(2(3(4(0(4(2(z0))))))))))))))))))))
   3(c_2(c_0(c_3(c_4(c_4(c_4(c_1(c_0(c_2(c_2(c_1(c_4(c_0(c_0(c_4(c_3(c_2(c_3(c_1(z0)))))))))))))))))))) -> 0(4(0(3(4(2(0(3(1(3(3(1(1(0(3(2(2(3(0(3(z0))))))))))))))))))))
   3(c_0(c_3(c_2(c_0(c_0(c_2(c_2(c_3(c_0(c_0(c_4(c_3(c_4(c_2(c_4(c_2(c_3(c_3(c_3(z0)))))))))))))))))))) -> 3(0(0(1(3(2(2(2(3(3(2(0(1(2(3(3(4(2(2(4(z0))))))))))))))))))))
   4(z0) -> c_4(z0)
   4(c_1(c_4(c_3(c_1(c_0(c_4(c_4(c_1(c_3(c_3(c_2(c_2(c_1(c_2(c_2(c_3(c_2(c_0(c_0(z0)))))))))))))))))))) -> 2(2(4(4(3(3(2(1(4(4(3(2(3(4(1(2(1(1(3(0(z0))))))))))))))))))))
   4(c_1(c_2(c_3(c_2(c_0(c_0(c_1(c_0(c_2(c_3(c_1(c_3(c_2(c_3(c_1(c_0(c_1(c_4(c_2(z0)))))))))))))))))))) -> 1(1(1(0(2(3(0(3(3(2(4(3(3(2(0(2(1(2(3(3(z0))))))))))))))))))))
   4(c_3(c_0(c_3(c_4(c_3(c_3(c_0(c_1(c_3(c_2(c_3(c_3(c_4(c_3(c_0(c_0(c_3(c_4(c_2(z0)))))))))))))))))))) -> 1(1(0(4(0(0(0(2(4(0(2(2(3(2(3(3(0(4(3(2(z0))))))))))))))))))))
   4(c_3(c_2(c_0(c_0(c_3(c_4(c_2(c_0(c_3(c_0(c_1(c_0(c_1(c_1(c_4(c_0(c_2(c_2(c_4(z0)))))))))))))))))))) -> 4(1(2(2(4(4(2(1(4(3(2(0(0(0(2(4(1(2(0(3(z0))))))))))))))))))))
   4(c_0(c_3(c_2(c_0(c_3(c_3(c_2(c_3(c_1(c_4(c_3(c_2(c_2(c_3(c_1(c_3(c_1(c_0(c_4(z0)))))))))))))))))))) -> 0(0(0(2(1(3(3(4(2(4(3(3(2(4(2(3(3(0(0(3(z0))))))))))))))))))))
   4(c_4(c_0(c_3(c_0(c_1(c_3(c_2(c_2(c_2(c_3(c_1(c_0(c_2(c_3(c_3(c_0(c_2(c_4(c_4(z0)))))))))))))))))))) -> 2(1(3(2(2(2(4(0(3(2(2(2(2(2(0(3(0(2(0(3(z0))))))))))))))))))))
   4(c_4(c_4(c_4(c_3(c_2(c_0(c_3(c_2(c_4(c_2(c_4(c_1(c_2(c_1(c_4(c_2(c_3(c_0(c_0(z0)))))))))))))))))))) -> 3(4(2(3(3(2(2(1(3(4(2(3(1(4(4(3(1(1(3(3(z0))))))))))))))))))))
   4(c_0(c_2(c_3(c_1(c_1(c_2(c_3(c_1(c_1(c_2(c_0(c_4(c_3(c_0(c_2(c_3(c_2(c_3(c_3(z0)))))))))))))))))))) -> 2(2(4(2(2(3(0(2(4(2(3(1(3(2(2(3(4(1(0(2(z0))))))))))))))))))))
   4(c_3(c_0(c_3(c_2(c_0(c_2(c_2(c_3(c_1(c_0(c_2(c_0(c_0(c_2(c_3(c_1(c_3(c_4(c_4(z0)))))))))))))))))))) -> 1(4(0(3(3(2(2(2(0(2(3(1(2(3(3(0(3(1(0(1(z0))))))))))))))))))))
   4(c_2(c_4(c_0(c_2(c_3(c_1(c_0(c_2(c_1(c_2(c_2(c_4(c_1(c_4(c_3(c_1(c_0(c_3(c_2(z0)))))))))))))))))))) -> 1(3(0(2(3(2(0(0(0(3(3(2(4(4(3(3(2(4(3(0(z0))))))))))))))))))))
   4(c_2(c_3(c_2(c_2(c_0(c_0(c_4(c_0(c_2(c_0(c_1(c_3(c_0(c_2(c_1(c_0(c_1(c_2(c_4(z0)))))))))))))))))))) -> 1(0(2(0(4(3(4(3(0(3(2(2(4(0(2(1(2(2(4(2(z0))))))))))))))))))))
   4(c_4(c_0(c_3(c_0(c_4(c_2(c_4(c_2(c_3(c_0(c_2(c_2(c_0(c_4(c_3(c_3(c_4(c_2(c_2(z0)))))))))))))))))))) -> 2(3(3(1(0(2(2(3(1(4(0(0(1(2(2(0(4(4(2(2(z0))))))))))))))))))))
   4(c_0(c_0(c_0(c_0(c_4(c_2(c_1(c_1(c_1(c_1(c_3(c_2(c_4(c_0(c_0(c_3(c_2(c_4(c_1(z0)))))))))))))))))))) -> 2(1(2(2(0(2(4(3(1(0(4(1(4(0(3(4(1(3(4(4(z0))))))))))))))))))))
   4(c_4(c_2(c_2(c_0(c_0(c_3(c_0(c_3(c_1(c_2(c_3(c_3(c_1(c_2(c_2(c_2(c_4(c_4(c_4(z0)))))))))))))))))))) -> 4(2(3(0(2(2(0(2(2(4(3(1(1(4(4(2(4(2(3(3(z0))))))))))))))))))))
   4(c_2(c_3(c_0(c_2(c_2(c_4(c_0(c_0(c_3(c_1(c_2(c_0(c_4(c_2(c_0(c_2(c_3(c_3(c_0(z0)))))))))))))))))))) -> 2(2(2(2(4(0(3(0(4(1(2(2(1(3(3(2(0(3(1(0(z0))))))))))))))))))))
   4(c_1(c_1(c_1(c_4(c_2(c_4(c_2(c_0(c_2(c_3(c_3(c_1(c_3(c_0(c_2(c_2(c_0(c_0(c_3(z0)))))))))))))))))))) -> 0(4(2(1(2(2(2(0(4(2(3(3(0(2(1(4(0(1(4(2(z0))))))))))))))))))))
   4(c_0(c_2(c_2(c_4(c_3(c_1(c_3(c_4(c_0(c_0(c_0(c_2(c_2(c_2(c_3(c_0(c_4(c_2(c_4(z0)))))))))))))))))))) -> 2(1(3(3(4(4(1(0(3(2(2(3(0(0(4(3(3(4(2(2(z0))))))))))))))))))))
   4(c_3(c_3(c_3(c_0(c_2(c_1(c_2(c_2(c_3(c_2(c_0(c_1(c_1(c_4(c_1(c_3(c_4(c_2(c_4(z0)))))))))))))))))))) -> 3(4(1(3(3(2(1(2(1(1(0(2(2(0(0(1(1(2(3(2(z0))))))))))))))))))))
   4(c_4(c_4(c_1(c_3(c_3(c_4(c_4(c_2(c_2(c_0(c_1(c_0(c_2(c_4(c_3(c_2(c_2(c_0(c_2(z0)))))))))))))))))))) -> 4(3(2(3(2(2(0(0(1(3(4(2(2(2(4(4(1(2(0(2(z0))))))))))))))))))))
   4(c_0(c_4(c_2(c_2(c_3(c_3(c_2(c_2(c_1(c_2(c_1(c_0(c_1(c_0(c_3(c_2(c_1(c_2(c_0(z0)))))))))))))))))))) -> 1(1(2(2(0(0(4(4(2(3(3(3(2(2(2(0(3(0(0(2(z0))))))))))))))))))))
Tuples:
   ENCARG(cons_0(z0)) -> c(0'(encArg(z0)), ENCARG(z0))
   ENCARG(cons_1(z0)) -> c1(1'(encArg(z0)), ENCARG(z0))
   ENCARG(cons_2(z0)) -> c2(2'(encArg(z0)), ENCARG(z0))
   ENCARG(cons_3(z0)) -> c3(3'(encArg(z0)), ENCARG(z0))
   ENCARG(cons_4(z0)) -> c4(4'(encArg(z0)), ENCARG(z0))
   0'(c_1(c_4(c_2(c_2(c_0(c_3(c_2(c_0(c_4(c_1(c_3(c_2(c_0(c_0(c_3(c_2(c_3(c_0(c_2(z0)))))))))))))))))))) -> c11(2'(4(2(1(2(2(3(0(2(0(1(2(2(0(1(2(0(0(4(2(z0)))))))))))))))))))), 4'(2(1(2(2(3(0(2(0(1(2(2(0(1(2(0(0(4(2(z0))))))))))))))))))), 2'(1(2(2(3(0(2(0(1(2(2(0(1(2(0(0(4(2(z0)))))))))))))))))), 1'(2(2(3(0(2(0(1(2(2(0(1(2(0(0(4(2(z0))))))))))))))))), 2'(2(3(0(2(0(1(2(2(0(1(2(0(0(4(2(z0)))))))))))))))), 2'(3(0(2(0(1(2(2(0(1(2(0(0(4(2(z0))))))))))))))), 3'(0(2(0(1(2(2(0(1(2(0(0(4(2(z0)))))))))))))), 0'(2(0(1(2(2(0(1(2(0(0(4(2(z0))))))))))))), 2'(0(1(2(2(0(1(2(0(0(4(2(z0)))))))))))), 0'(1(2(2(0(1(2(0(0(4(2(z0))))))))))), 1'(2(2(0(1(2(0(0(4(2(z0)))))))))), 2'(2(0(1(2(0(0(4(2(z0))))))))), 2'(0(1(2(0(0(4(2(z0)))))))), 0'(1(2(0(0(4(2(z0))))))), 1'(2(0(0(4(2(z0)))))), 2'(0(0(4(2(z0))))), 0'(0(4(2(z0)))), 0'(4(2(z0))), 4'(2(z0)), 2'(z0))
   0'(c_0(c_2(c_1(c_0(c_3(c_1(c_3(c_1(c_3(c_3(c_3(c_2(c_4(c_0(c_0(c_1(c_2(c_0(c_4(z0)))))))))))))))))))) -> c12(4'(4(1(4(4(3(2(1(1(0(2(2(1(2(1(0(3(4(2(2(z0)))))))))))))))))))), 4'(1(4(4(3(2(1(1(0(2(2(1(2(1(0(3(4(2(2(z0))))))))))))))))))), 1'(4(4(3(2(1(1(0(2(2(1(2(1(0(3(4(2(2(z0)))))))))))))))))), 4'(4(3(2(1(1(0(2(2(1(2(1(0(3(4(2(2(z0))))))))))))))))), 4'(3(2(1(1(0(2(2(1(2(1(0(3(4(2(2(z0)))))))))))))))), 3'(2(1(1(0(2(2(1(2(1(0(3(4(2(2(z0))))))))))))))), 2'(1(1(0(2(2(1(2(1(0(3(4(2(2(z0)))))))))))))), 1'(1(0(2(2(1(2(1(0(3(4(2(2(z0))))))))))))), 1'(0(2(2(1(2(1(0(3(4(2(2(z0)))))))))))), 0'(2(2(1(2(1(0(3(4(2(2(z0))))))))))), 2'(2(1(2(1(0(3(4(2(2(z0)))))))))), 2'(1(2(1(0(3(4(2(2(z0))))))))), 1'(2(1(0(3(4(2(2(z0)))))))), 2'(1(0(3(4(2(2(z0))))))), 1'(0(3(4(2(2(z0)))))), 0'(3(4(2(2(z0))))), 3'(4(2(2(z0)))), 4'(2(2(z0))), 2'(2(z0)), 2'(z0))
   0'(c_3(c_2(c_0(c_4(c_2(c_0(c_1(c_1(c_3(c_2(c_3(c_4(c_4(c_1(c_2(c_4(c_2(c_4(c_2(z0)))))))))))))))))))) -> c13(2'(2(4(3(4(2(3(4(1(2(1(0(0(2(0(4(1(4(2(2(z0)))))))))))))))))))), 2'(4(3(4(2(3(4(1(2(1(0(0(2(0(4(1(4(2(2(z0))))))))))))))))))), 4'(3(4(2(3(4(1(2(1(0(0(2(0(4(1(4(2(2(z0)))))))))))))))))), 3'(4(2(3(4(1(2(1(0(0(2(0(4(1(4(2(2(z0))))))))))))))))), 4'(2(3(4(1(2(1(0(0(2(0(4(1(4(2(2(z0)))))))))))))))), 2'(3(4(1(2(1(0(0(2(0(4(1(4(2(2(z0))))))))))))))), 3'(4(1(2(1(0(0(2(0(4(1(4(2(2(z0)))))))))))))), 4'(1(2(1(0(0(2(0(4(1(4(2(2(z0))))))))))))), 1'(2(1(0(0(2(0(4(1(4(2(2(z0)))))))))))), 2'(1(0(0(2(0(4(1(4(2(2(z0))))))))))), 1'(0(0(2(0(4(1(4(2(2(z0)))))))))), 0'(0(2(0(4(1(4(2(2(z0))))))))), 0'(2(0(4(1(4(2(2(z0)))))))), 2'(0(4(1(4(2(2(z0))))))), 0'(4(1(4(2(2(z0)))))), 4'(1(4(2(2(z0))))), 1'(4(2(2(z0)))), 4'(2(2(z0))), 2'(2(z0)), 2'(z0))
   0'(c_1(c_4(c_3(c_2(c_3(c_0(c_1(c_2(c_4(c_0(c_3(c_4(c_2(c_0(c_0(c_3(c_2(c_4(c_2(z0)))))))))))))))))))) -> c14(2'(1(3(0(0(1(4(3(1(3(2(2(2(1(3(0(2(0(0(2(z0)))))))))))))))))))), 1'(3(0(0(1(4(3(1(3(2(2(2(1(3(0(2(0(0(2(z0))))))))))))))))))), 3'(0(0(1(4(3(1(3(2(2(2(1(3(0(2(0(0(2(z0)))))))))))))))))), 0'(0(1(4(3(1(3(2(2(2(1(3(0(2(0(0(2(z0))))))))))))))))), 0'(1(4(3(1(3(2(2(2(1(3(0(2(0(0(2(z0)))))))))))))))), 1'(4(3(1(3(2(2(2(1(3(0(2(0(0(2(z0))))))))))))))), 4'(3(1(3(2(2(2(1(3(0(2(0(0(2(z0)))))))))))))), 3'(1(3(2(2(2(1(3(0(2(0(0(2(z0))))))))))))), 1'(3(2(2(2(1(3(0(2(0(0(2(z0)))))))))))), 3'(2(2(2(1(3(0(2(0(0(2(z0))))))))))), 2'(2(2(1(3(0(2(0(0(2(z0)))))))))), 2'(2(1(3(0(2(0(0(2(z0))))))))), 2'(1(3(0(2(0(0(2(z0)))))))), 1'(3(0(2(0(0(2(z0))))))), 3'(0(2(0(0(2(z0)))))), 0'(2(0(0(2(z0))))), 2'(0(0(2(z0)))), 0'(0(2(z0))), 0'(2(z0)), 2'(z0))
   0'(c_3(c_3(c_2(c_4(c_1(c_0(c_0(c_1(c_2(c_0(c_4(c_3(c_3(c_4(c_4(c_4(c_3(c_1(c_2(z0)))))))))))))))))))) -> c15(4'(1(2(2(2(2(4(4(2(0(3(2(1(0(4(4(1(4(2(0(z0)))))))))))))))))))), 1'(2(2(2(2(4(4(2(0(3(2(1(0(4(4(1(4(2(0(z0))))))))))))))))))), 2'(2(2(2(4(4(2(0(3(2(1(0(4(4(1(4(2(0(z0)))))))))))))))))), 2'(2(2(4(4(2(0(3(2(1(0(4(4(1(4(2(0(z0))))))))))))))))), 2'(2(4(4(2(0(3(2(1(0(4(4(1(4(2(0(z0)))))))))))))))), 2'(4(4(2(0(3(2(1(0(4(4(1(4(2(0(z0))))))))))))))), 4'(4(2(0(3(2(1(0(4(4(1(4(2(0(z0)))))))))))))), 4'(2(0(3(2(1(0(4(4(1(4(2(0(z0))))))))))))), 2'(0(3(2(1(0(4(4(1(4(2(0(z0)))))))))))), 0'(3(2(1(0(4(4(1(4(2(0(z0))))))))))), 3'(2(1(0(4(4(1(4(2(0(z0)))))))))), 2'(1(0(4(4(1(4(2(0(z0))))))))), 1'(0(4(4(1(4(2(0(z0)))))))), 0'(4(4(1(4(2(0(z0))))))), 4'(4(1(4(2(0(z0)))))), 4'(1(4(2(0(z0))))), 1'(4(2(0(z0)))), 4'(2(0(z0))), 2'(0(z0)), 0'(z0))
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   4'(c_0(c_0(c_0(c_0(c_4(c_2(c_1(c_1(c_1(c_1(c_3(c_2(c_4(c_0(c_0(c_3(c_2(c_4(c_1(z0)))))))))))))))))))) -> c106(2'(1(2(2(0(2(4(3(1(0(4(1(4(0(3(4(1(3(4(4(z0)))))))))))))))))))), 1'(2(2(0(2(4(3(1(0(4(1(4(0(3(4(1(3(4(4(z0))))))))))))))))))), 2'(2(0(2(4(3(1(0(4(1(4(0(3(4(1(3(4(4(z0)))))))))))))))))), 2'(0(2(4(3(1(0(4(1(4(0(3(4(1(3(4(4(z0))))))))))))))))), 0'(2(4(3(1(0(4(1(4(0(3(4(1(3(4(4(z0)))))))))))))))), 2'(4(3(1(0(4(1(4(0(3(4(1(3(4(4(z0))))))))))))))), 4'(3(1(0(4(1(4(0(3(4(1(3(4(4(z0)))))))))))))), 3'(1(0(4(1(4(0(3(4(1(3(4(4(z0))))))))))))), 1'(0(4(1(4(0(3(4(1(3(4(4(z0)))))))))))), 0'(4(1(4(0(3(4(1(3(4(4(z0))))))))))), 4'(1(4(0(3(4(1(3(4(4(z0)))))))))), 1'(4(0(3(4(1(3(4(4(z0))))))))), 4'(0(3(4(1(3(4(4(z0)))))))), 0'(3(4(1(3(4(4(z0))))))), 3'(4(1(3(4(4(z0)))))), 4'(1(3(4(4(z0))))), 1'(3(4(4(z0)))), 3'(4(4(z0))), 4'(4(z0)), 4'(z0))
   4'(c_4(c_2(c_2(c_0(c_0(c_3(c_0(c_3(c_1(c_2(c_3(c_3(c_1(c_2(c_2(c_2(c_4(c_4(c_4(z0)))))))))))))))))))) -> c107(4'(2(3(0(2(2(0(2(2(4(3(1(1(4(4(2(4(2(3(3(z0)))))))))))))))))))), 2'(3(0(2(2(0(2(2(4(3(1(1(4(4(2(4(2(3(3(z0))))))))))))))))))), 3'(0(2(2(0(2(2(4(3(1(1(4(4(2(4(2(3(3(z0)))))))))))))))))), 0'(2(2(0(2(2(4(3(1(1(4(4(2(4(2(3(3(z0))))))))))))))))), 2'(2(0(2(2(4(3(1(1(4(4(2(4(2(3(3(z0)))))))))))))))), 2'(0(2(2(4(3(1(1(4(4(2(4(2(3(3(z0))))))))))))))), 0'(2(2(4(3(1(1(4(4(2(4(2(3(3(z0)))))))))))))), 2'(2(4(3(1(1(4(4(2(4(2(3(3(z0))))))))))))), 2'(4(3(1(1(4(4(2(4(2(3(3(z0)))))))))))), 4'(3(1(1(4(4(2(4(2(3(3(z0))))))))))), 3'(1(1(4(4(2(4(2(3(3(z0)))))))))), 1'(1(4(4(2(4(2(3(3(z0))))))))), 1'(4(4(2(4(2(3(3(z0)))))))), 4'(4(2(4(2(3(3(z0))))))), 4'(2(4(2(3(3(z0)))))), 2'(4(2(3(3(z0))))), 4'(2(3(3(z0)))), 2'(3(3(z0))), 3'(3(z0)), 3'(z0))
   4'(c_2(c_3(c_0(c_2(c_2(c_4(c_0(c_0(c_3(c_1(c_2(c_0(c_4(c_2(c_0(c_2(c_3(c_3(c_0(z0)))))))))))))))))))) -> c108(2'(2(2(2(4(0(3(0(4(1(2(2(1(3(3(2(0(3(1(0(z0)))))))))))))))))))), 2'(2(2(4(0(3(0(4(1(2(2(1(3(3(2(0(3(1(0(z0))))))))))))))))))), 2'(2(4(0(3(0(4(1(2(2(1(3(3(2(0(3(1(0(z0)))))))))))))))))), 2'(4(0(3(0(4(1(2(2(1(3(3(2(0(3(1(0(z0))))))))))))))))), 4'(0(3(0(4(1(2(2(1(3(3(2(0(3(1(0(z0)))))))))))))))), 0'(3(0(4(1(2(2(1(3(3(2(0(3(1(0(z0))))))))))))))), 3'(0(4(1(2(2(1(3(3(2(0(3(1(0(z0)))))))))))))), 0'(4(1(2(2(1(3(3(2(0(3(1(0(z0))))))))))))), 4'(1(2(2(1(3(3(2(0(3(1(0(z0)))))))))))), 1'(2(2(1(3(3(2(0(3(1(0(z0))))))))))), 2'(2(1(3(3(2(0(3(1(0(z0)))))))))), 2'(1(3(3(2(0(3(1(0(z0))))))))), 1'(3(3(2(0(3(1(0(z0)))))))), 3'(3(2(0(3(1(0(z0))))))), 3'(2(0(3(1(0(z0)))))), 2'(0(3(1(0(z0))))), 0'(3(1(0(z0)))), 3'(1(0(z0))), 1'(0(z0)), 0'(z0))
   4'(c_1(c_1(c_1(c_4(c_2(c_4(c_2(c_0(c_2(c_3(c_3(c_1(c_3(c_0(c_2(c_2(c_0(c_0(c_3(z0)))))))))))))))))))) -> c109(0'(4(2(1(2(2(2(0(4(2(3(3(0(2(1(4(0(1(4(2(z0)))))))))))))))))))), 4'(2(1(2(2(2(0(4(2(3(3(0(2(1(4(0(1(4(2(z0))))))))))))))))))), 2'(1(2(2(2(0(4(2(3(3(0(2(1(4(0(1(4(2(z0)))))))))))))))))), 1'(2(2(2(0(4(2(3(3(0(2(1(4(0(1(4(2(z0))))))))))))))))), 2'(2(2(0(4(2(3(3(0(2(1(4(0(1(4(2(z0)))))))))))))))), 2'(2(0(4(2(3(3(0(2(1(4(0(1(4(2(z0))))))))))))))), 2'(0(4(2(3(3(0(2(1(4(0(1(4(2(z0)))))))))))))), 0'(4(2(3(3(0(2(1(4(0(1(4(2(z0))))))))))))), 4'(2(3(3(0(2(1(4(0(1(4(2(z0)))))))))))), 2'(3(3(0(2(1(4(0(1(4(2(z0))))))))))), 3'(3(0(2(1(4(0(1(4(2(z0)))))))))), 3'(0(2(1(4(0(1(4(2(z0))))))))), 0'(2(1(4(0(1(4(2(z0)))))))), 2'(1(4(0(1(4(2(z0))))))), 1'(4(0(1(4(2(z0)))))), 4'(0(1(4(2(z0))))), 0'(1(4(2(z0)))), 1'(4(2(z0))), 4'(2(z0)), 2'(z0))
   4'(c_0(c_2(c_2(c_4(c_3(c_1(c_3(c_4(c_0(c_0(c_0(c_2(c_2(c_2(c_3(c_0(c_4(c_2(c_4(z0)))))))))))))))))))) -> c110(2'(1(3(3(4(4(1(0(3(2(2(3(0(0(4(3(3(4(2(2(z0)))))))))))))))))))), 1'(3(3(4(4(1(0(3(2(2(3(0(0(4(3(3(4(2(2(z0))))))))))))))))))), 3'(3(4(4(1(0(3(2(2(3(0(0(4(3(3(4(2(2(z0)))))))))))))))))), 3'(4(4(1(0(3(2(2(3(0(0(4(3(3(4(2(2(z0))))))))))))))))), 4'(4(1(0(3(2(2(3(0(0(4(3(3(4(2(2(z0)))))))))))))))), 4'(1(0(3(2(2(3(0(0(4(3(3(4(2(2(z0))))))))))))))), 1'(0(3(2(2(3(0(0(4(3(3(4(2(2(z0)))))))))))))), 0'(3(2(2(3(0(0(4(3(3(4(2(2(z0))))))))))))), 3'(2(2(3(0(0(4(3(3(4(2(2(z0)))))))))))), 2'(2(3(0(0(4(3(3(4(2(2(z0))))))))))), 2'(3(0(0(4(3(3(4(2(2(z0)))))))))), 3'(0(0(4(3(3(4(2(2(z0))))))))), 0'(0(4(3(3(4(2(2(z0)))))))), 0'(4(3(3(4(2(2(z0))))))), 4'(3(3(4(2(2(z0)))))), 3'(3(4(2(2(z0))))), 3'(4(2(2(z0)))), 4'(2(2(z0))), 2'(2(z0)), 2'(z0))
   4'(c_3(c_3(c_3(c_0(c_2(c_1(c_2(c_2(c_3(c_2(c_0(c_1(c_1(c_4(c_1(c_3(c_4(c_2(c_4(z0)))))))))))))))))))) -> c111(3'(4(1(3(3(2(1(2(1(1(0(2(2(0(0(1(1(2(3(2(z0)))))))))))))))))))), 4'(1(3(3(2(1(2(1(1(0(2(2(0(0(1(1(2(3(2(z0))))))))))))))))))), 1'(3(3(2(1(2(1(1(0(2(2(0(0(1(1(2(3(2(z0)))))))))))))))))), 3'(3(2(1(2(1(1(0(2(2(0(0(1(1(2(3(2(z0))))))))))))))))), 3'(2(1(2(1(1(0(2(2(0(0(1(1(2(3(2(z0)))))))))))))))), 2'(1(2(1(1(0(2(2(0(0(1(1(2(3(2(z0))))))))))))))), 1'(2(1(1(0(2(2(0(0(1(1(2(3(2(z0)))))))))))))), 2'(1(1(0(2(2(0(0(1(1(2(3(2(z0))))))))))))), 1'(1(0(2(2(0(0(1(1(2(3(2(z0)))))))))))), 1'(0(2(2(0(0(1(1(2(3(2(z0))))))))))), 0'(2(2(0(0(1(1(2(3(2(z0)))))))))), 2'(2(0(0(1(1(2(3(2(z0))))))))), 2'(0(0(1(1(2(3(2(z0)))))))), 0'(0(1(1(2(3(2(z0))))))), 0'(1(1(2(3(2(z0)))))), 1'(1(2(3(2(z0))))), 1'(2(3(2(z0)))), 2'(3(2(z0))), 3'(2(z0)), 2'(z0))
   4'(c_4(c_4(c_1(c_3(c_3(c_4(c_4(c_2(c_2(c_0(c_1(c_0(c_2(c_4(c_3(c_2(c_2(c_0(c_2(z0)))))))))))))))))))) -> c112(4'(3(2(3(2(2(0(0(1(3(4(2(2(2(4(4(1(2(0(2(z0)))))))))))))))))))), 3'(2(3(2(2(0(0(1(3(4(2(2(2(4(4(1(2(0(2(z0))))))))))))))))))), 2'(3(2(2(0(0(1(3(4(2(2(2(4(4(1(2(0(2(z0)))))))))))))))))), 3'(2(2(0(0(1(3(4(2(2(2(4(4(1(2(0(2(z0))))))))))))))))), 2'(2(0(0(1(3(4(2(2(2(4(4(1(2(0(2(z0)))))))))))))))), 2'(0(0(1(3(4(2(2(2(4(4(1(2(0(2(z0))))))))))))))), 0'(0(1(3(4(2(2(2(4(4(1(2(0(2(z0)))))))))))))), 0'(1(3(4(2(2(2(4(4(1(2(0(2(z0))))))))))))), 1'(3(4(2(2(2(4(4(1(2(0(2(z0)))))))))))), 3'(4(2(2(2(4(4(1(2(0(2(z0))))))))))), 4'(2(2(2(4(4(1(2(0(2(z0)))))))))), 2'(2(2(4(4(1(2(0(2(z0))))))))), 2'(2(4(4(1(2(0(2(z0)))))))), 2'(4(4(1(2(0(2(z0))))))), 4'(4(1(2(0(2(z0)))))), 4'(1(2(0(2(z0))))), 1'(2(0(2(z0)))), 2'(0(2(z0))), 0'(2(z0)), 2'(z0))
   4'(c_0(c_4(c_2(c_2(c_3(c_3(c_2(c_2(c_1(c_2(c_1(c_0(c_1(c_0(c_3(c_2(c_1(c_2(c_0(z0)))))))))))))))))))) -> c113(1'(1(2(2(0(0(4(4(2(3(3(3(2(2(2(0(3(0(0(2(z0)))))))))))))))))))), 1'(2(2(0(0(4(4(2(3(3(3(2(2(2(0(3(0(0(2(z0))))))))))))))))))), 2'(2(0(0(4(4(2(3(3(3(2(2(2(0(3(0(0(2(z0)))))))))))))))))), 2'(0(0(4(4(2(3(3(3(2(2(2(0(3(0(0(2(z0))))))))))))))))), 0'(0(4(4(2(3(3(3(2(2(2(0(3(0(0(2(z0)))))))))))))))), 0'(4(4(2(3(3(3(2(2(2(0(3(0(0(2(z0))))))))))))))), 4'(4(2(3(3(3(2(2(2(0(3(0(0(2(z0)))))))))))))), 4'(2(3(3(3(2(2(2(0(3(0(0(2(z0))))))))))))), 2'(3(3(3(2(2(2(0(3(0(0(2(z0)))))))))))), 3'(3(3(2(2(2(0(3(0(0(2(z0))))))))))), 3'(3(2(2(2(0(3(0(0(2(z0)))))))))), 3'(2(2(2(0(3(0(0(2(z0))))))))), 2'(2(2(0(3(0(0(2(z0)))))))), 2'(2(0(3(0(0(2(z0))))))), 2'(0(3(0(0(2(z0)))))), 0'(3(0(0(2(z0))))), 3'(0(0(2(z0)))), 0'(0(2(z0))), 0'(2(z0)), 2'(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_1(c_4(c_2(c_2(c_0(c_3(c_2(c_0(c_4(c_1(c_3(c_2(c_0(c_0(c_3(c_2(c_3(c_0(c_2(z0)))))))))))))))))))) -> c11(2'(4(2(1(2(2(3(0(2(0(1(2(2(0(1(2(0(0(4(2(z0)))))))))))))))))))), 4'(2(1(2(2(3(0(2(0(1(2(2(0(1(2(0(0(4(2(z0))))))))))))))))))), 2'(1(2(2(3(0(2(0(1(2(2(0(1(2(0(0(4(2(z0)))))))))))))))))), 1'(2(2(3(0(2(0(1(2(2(0(1(2(0(0(4(2(z0))))))))))))))))), 2'(2(3(0(2(0(1(2(2(0(1(2(0(0(4(2(z0)))))))))))))))), 2'(3(0(2(0(1(2(2(0(1(2(0(0(4(2(z0))))))))))))))), 3'(0(2(0(1(2(2(0(1(2(0(0(4(2(z0)))))))))))))), 0'(2(0(1(2(2(0(1(2(0(0(4(2(z0))))))))))))), 2'(0(1(2(2(0(1(2(0(0(4(2(z0)))))))))))), 0'(1(2(2(0(1(2(0(0(4(2(z0))))))))))), 1'(2(2(0(1(2(0(0(4(2(z0)))))))))), 2'(2(0(1(2(0(0(4(2(z0))))))))), 2'(0(1(2(0(0(4(2(z0)))))))), 0'(1(2(0(0(4(2(z0))))))), 1'(2(0(0(4(2(z0)))))), 2'(0(0(4(2(z0))))), 0'(0(4(2(z0)))), 0'(4(2(z0))), 4'(2(z0)), 2'(z0))
   0'(c_0(c_2(c_1(c_0(c_3(c_1(c_3(c_1(c_3(c_3(c_3(c_2(c_4(c_0(c_0(c_1(c_2(c_0(c_4(z0)))))))))))))))))))) -> c12(4'(4(1(4(4(3(2(1(1(0(2(2(1(2(1(0(3(4(2(2(z0)))))))))))))))))))), 4'(1(4(4(3(2(1(1(0(2(2(1(2(1(0(3(4(2(2(z0))))))))))))))))))), 1'(4(4(3(2(1(1(0(2(2(1(2(1(0(3(4(2(2(z0)))))))))))))))))), 4'(4(3(2(1(1(0(2(2(1(2(1(0(3(4(2(2(z0))))))))))))))))), 4'(3(2(1(1(0(2(2(1(2(1(0(3(4(2(2(z0)))))))))))))))), 3'(2(1(1(0(2(2(1(2(1(0(3(4(2(2(z0))))))))))))))), 2'(1(1(0(2(2(1(2(1(0(3(4(2(2(z0)))))))))))))), 1'(1(0(2(2(1(2(1(0(3(4(2(2(z0))))))))))))), 1'(0(2(2(1(2(1(0(3(4(2(2(z0)))))))))))), 0'(2(2(1(2(1(0(3(4(2(2(z0))))))))))), 2'(2(1(2(1(0(3(4(2(2(z0)))))))))), 2'(1(2(1(0(3(4(2(2(z0))))))))), 1'(2(1(0(3(4(2(2(z0)))))))), 2'(1(0(3(4(2(2(z0))))))), 1'(0(3(4(2(2(z0)))))), 0'(3(4(2(2(z0))))), 3'(4(2(2(z0)))), 4'(2(2(z0))), 2'(2(z0)), 2'(z0))
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   4'(c_4(c_0(c_3(c_0(c_4(c_2(c_4(c_2(c_3(c_0(c_2(c_2(c_0(c_4(c_3(c_3(c_4(c_2(c_2(z0)))))))))))))))))))) -> c105(2'(3(3(1(0(2(2(3(1(4(0(0(1(2(2(0(4(4(2(2(z0)))))))))))))))))))), 3'(3(1(0(2(2(3(1(4(0(0(1(2(2(0(4(4(2(2(z0))))))))))))))))))), 3'(1(0(2(2(3(1(4(0(0(1(2(2(0(4(4(2(2(z0)))))))))))))))))), 1'(0(2(2(3(1(4(0(0(1(2(2(0(4(4(2(2(z0))))))))))))))))), 0'(2(2(3(1(4(0(0(1(2(2(0(4(4(2(2(z0)))))))))))))))), 2'(2(3(1(4(0(0(1(2(2(0(4(4(2(2(z0))))))))))))))), 2'(3(1(4(0(0(1(2(2(0(4(4(2(2(z0)))))))))))))), 3'(1(4(0(0(1(2(2(0(4(4(2(2(z0))))))))))))), 1'(4(0(0(1(2(2(0(4(4(2(2(z0)))))))))))), 4'(0(0(1(2(2(0(4(4(2(2(z0))))))))))), 0'(0(1(2(2(0(4(4(2(2(z0)))))))))), 0'(1(2(2(0(4(4(2(2(z0))))))))), 1'(2(2(0(4(4(2(2(z0)))))))), 2'(2(0(4(4(2(2(z0))))))), 2'(0(4(4(2(2(z0)))))), 0'(4(4(2(2(z0))))), 4'(4(2(2(z0)))), 4'(2(2(z0))), 2'(2(z0)), 2'(z0))
   4'(c_0(c_0(c_0(c_0(c_4(c_2(c_1(c_1(c_1(c_1(c_3(c_2(c_4(c_0(c_0(c_3(c_2(c_4(c_1(z0)))))))))))))))))))) -> c106(2'(1(2(2(0(2(4(3(1(0(4(1(4(0(3(4(1(3(4(4(z0)))))))))))))))))))), 1'(2(2(0(2(4(3(1(0(4(1(4(0(3(4(1(3(4(4(z0))))))))))))))))))), 2'(2(0(2(4(3(1(0(4(1(4(0(3(4(1(3(4(4(z0)))))))))))))))))), 2'(0(2(4(3(1(0(4(1(4(0(3(4(1(3(4(4(z0))))))))))))))))), 0'(2(4(3(1(0(4(1(4(0(3(4(1(3(4(4(z0)))))))))))))))), 2'(4(3(1(0(4(1(4(0(3(4(1(3(4(4(z0))))))))))))))), 4'(3(1(0(4(1(4(0(3(4(1(3(4(4(z0)))))))))))))), 3'(1(0(4(1(4(0(3(4(1(3(4(4(z0))))))))))))), 1'(0(4(1(4(0(3(4(1(3(4(4(z0)))))))))))), 0'(4(1(4(0(3(4(1(3(4(4(z0))))))))))), 4'(1(4(0(3(4(1(3(4(4(z0)))))))))), 1'(4(0(3(4(1(3(4(4(z0))))))))), 4'(0(3(4(1(3(4(4(z0)))))))), 0'(3(4(1(3(4(4(z0))))))), 3'(4(1(3(4(4(z0)))))), 4'(1(3(4(4(z0))))), 1'(3(4(4(z0)))), 3'(4(4(z0))), 4'(4(z0)), 4'(z0))
   4'(c_4(c_2(c_2(c_0(c_0(c_3(c_0(c_3(c_1(c_2(c_3(c_3(c_1(c_2(c_2(c_2(c_4(c_4(c_4(z0)))))))))))))))))))) -> c107(4'(2(3(0(2(2(0(2(2(4(3(1(1(4(4(2(4(2(3(3(z0)))))))))))))))))))), 2'(3(0(2(2(0(2(2(4(3(1(1(4(4(2(4(2(3(3(z0))))))))))))))))))), 3'(0(2(2(0(2(2(4(3(1(1(4(4(2(4(2(3(3(z0)))))))))))))))))), 0'(2(2(0(2(2(4(3(1(1(4(4(2(4(2(3(3(z0))))))))))))))))), 2'(2(0(2(2(4(3(1(1(4(4(2(4(2(3(3(z0)))))))))))))))), 2'(0(2(2(4(3(1(1(4(4(2(4(2(3(3(z0))))))))))))))), 0'(2(2(4(3(1(1(4(4(2(4(2(3(3(z0)))))))))))))), 2'(2(4(3(1(1(4(4(2(4(2(3(3(z0))))))))))))), 2'(4(3(1(1(4(4(2(4(2(3(3(z0)))))))))))), 4'(3(1(1(4(4(2(4(2(3(3(z0))))))))))), 3'(1(1(4(4(2(4(2(3(3(z0)))))))))), 1'(1(4(4(2(4(2(3(3(z0))))))))), 1'(4(4(2(4(2(3(3(z0)))))))), 4'(4(2(4(2(3(3(z0))))))), 4'(2(4(2(3(3(z0)))))), 2'(4(2(3(3(z0))))), 4'(2(3(3(z0)))), 2'(3(3(z0))), 3'(3(z0)), 3'(z0))
   4'(c_2(c_3(c_0(c_2(c_2(c_4(c_0(c_0(c_3(c_1(c_2(c_0(c_4(c_2(c_0(c_2(c_3(c_3(c_0(z0)))))))))))))))))))) -> c108(2'(2(2(2(4(0(3(0(4(1(2(2(1(3(3(2(0(3(1(0(z0)))))))))))))))))))), 2'(2(2(4(0(3(0(4(1(2(2(1(3(3(2(0(3(1(0(z0))))))))))))))))))), 2'(2(4(0(3(0(4(1(2(2(1(3(3(2(0(3(1(0(z0)))))))))))))))))), 2'(4(0(3(0(4(1(2(2(1(3(3(2(0(3(1(0(z0))))))))))))))))), 4'(0(3(0(4(1(2(2(1(3(3(2(0(3(1(0(z0)))))))))))))))), 0'(3(0(4(1(2(2(1(3(3(2(0(3(1(0(z0))))))))))))))), 3'(0(4(1(2(2(1(3(3(2(0(3(1(0(z0)))))))))))))), 0'(4(1(2(2(1(3(3(2(0(3(1(0(z0))))))))))))), 4'(1(2(2(1(3(3(2(0(3(1(0(z0)))))))))))), 1'(2(2(1(3(3(2(0(3(1(0(z0))))))))))), 2'(2(1(3(3(2(0(3(1(0(z0)))))))))), 2'(1(3(3(2(0(3(1(0(z0))))))))), 1'(3(3(2(0(3(1(0(z0)))))))), 3'(3(2(0(3(1(0(z0))))))), 3'(2(0(3(1(0(z0)))))), 2'(0(3(1(0(z0))))), 0'(3(1(0(z0)))), 3'(1(0(z0))), 1'(0(z0)), 0'(z0))
   4'(c_1(c_1(c_1(c_4(c_2(c_4(c_2(c_0(c_2(c_3(c_3(c_1(c_3(c_0(c_2(c_2(c_0(c_0(c_3(z0)))))))))))))))))))) -> c109(0'(4(2(1(2(2(2(0(4(2(3(3(0(2(1(4(0(1(4(2(z0)))))))))))))))))))), 4'(2(1(2(2(2(0(4(2(3(3(0(2(1(4(0(1(4(2(z0))))))))))))))))))), 2'(1(2(2(2(0(4(2(3(3(0(2(1(4(0(1(4(2(z0)))))))))))))))))), 1'(2(2(2(0(4(2(3(3(0(2(1(4(0(1(4(2(z0))))))))))))))))), 2'(2(2(0(4(2(3(3(0(2(1(4(0(1(4(2(z0)))))))))))))))), 2'(2(0(4(2(3(3(0(2(1(4(0(1(4(2(z0))))))))))))))), 2'(0(4(2(3(3(0(2(1(4(0(1(4(2(z0)))))))))))))), 0'(4(2(3(3(0(2(1(4(0(1(4(2(z0))))))))))))), 4'(2(3(3(0(2(1(4(0(1(4(2(z0)))))))))))), 2'(3(3(0(2(1(4(0(1(4(2(z0))))))))))), 3'(3(0(2(1(4(0(1(4(2(z0)))))))))), 3'(0(2(1(4(0(1(4(2(z0))))))))), 0'(2(1(4(0(1(4(2(z0)))))))), 2'(1(4(0(1(4(2(z0))))))), 1'(4(0(1(4(2(z0)))))), 4'(0(1(4(2(z0))))), 0'(1(4(2(z0)))), 1'(4(2(z0))), 4'(2(z0)), 2'(z0))
   4'(c_0(c_2(c_2(c_4(c_3(c_1(c_3(c_4(c_0(c_0(c_0(c_2(c_2(c_2(c_3(c_0(c_4(c_2(c_4(z0)))))))))))))))))))) -> c110(2'(1(3(3(4(4(1(0(3(2(2(3(0(0(4(3(3(4(2(2(z0)))))))))))))))))))), 1'(3(3(4(4(1(0(3(2(2(3(0(0(4(3(3(4(2(2(z0))))))))))))))))))), 3'(3(4(4(1(0(3(2(2(3(0(0(4(3(3(4(2(2(z0)))))))))))))))))), 3'(4(4(1(0(3(2(2(3(0(0(4(3(3(4(2(2(z0))))))))))))))))), 4'(4(1(0(3(2(2(3(0(0(4(3(3(4(2(2(z0)))))))))))))))), 4'(1(0(3(2(2(3(0(0(4(3(3(4(2(2(z0))))))))))))))), 1'(0(3(2(2(3(0(0(4(3(3(4(2(2(z0)))))))))))))), 0'(3(2(2(3(0(0(4(3(3(4(2(2(z0))))))))))))), 3'(2(2(3(0(0(4(3(3(4(2(2(z0)))))))))))), 2'(2(3(0(0(4(3(3(4(2(2(z0))))))))))), 2'(3(0(0(4(3(3(4(2(2(z0)))))))))), 3'(0(0(4(3(3(4(2(2(z0))))))))), 0'(0(4(3(3(4(2(2(z0)))))))), 0'(4(3(3(4(2(2(z0))))))), 4'(3(3(4(2(2(z0)))))), 3'(3(4(2(2(z0))))), 3'(4(2(2(z0)))), 4'(2(2(z0))), 2'(2(z0)), 2'(z0))
   4'(c_3(c_3(c_3(c_0(c_2(c_1(c_2(c_2(c_3(c_2(c_0(c_1(c_1(c_4(c_1(c_3(c_4(c_2(c_4(z0)))))))))))))))))))) -> c111(3'(4(1(3(3(2(1(2(1(1(0(2(2(0(0(1(1(2(3(2(z0)))))))))))))))))))), 4'(1(3(3(2(1(2(1(1(0(2(2(0(0(1(1(2(3(2(z0))))))))))))))))))), 1'(3(3(2(1(2(1(1(0(2(2(0(0(1(1(2(3(2(z0)))))))))))))))))), 3'(3(2(1(2(1(1(0(2(2(0(0(1(1(2(3(2(z0))))))))))))))))), 3'(2(1(2(1(1(0(2(2(0(0(1(1(2(3(2(z0)))))))))))))))), 2'(1(2(1(1(0(2(2(0(0(1(1(2(3(2(z0))))))))))))))), 1'(2(1(1(0(2(2(0(0(1(1(2(3(2(z0)))))))))))))), 2'(1(1(0(2(2(0(0(1(1(2(3(2(z0))))))))))))), 1'(1(0(2(2(0(0(1(1(2(3(2(z0)))))))))))), 1'(0(2(2(0(0(1(1(2(3(2(z0))))))))))), 0'(2(2(0(0(1(1(2(3(2(z0)))))))))), 2'(2(0(0(1(1(2(3(2(z0))))))))), 2'(0(0(1(1(2(3(2(z0)))))))), 0'(0(1(1(2(3(2(z0))))))), 0'(1(1(2(3(2(z0)))))), 1'(1(2(3(2(z0))))), 1'(2(3(2(z0)))), 2'(3(2(z0))), 3'(2(z0)), 2'(z0))
   4'(c_4(c_4(c_1(c_3(c_3(c_4(c_4(c_2(c_2(c_0(c_1(c_0(c_2(c_4(c_3(c_2(c_2(c_0(c_2(z0)))))))))))))))))))) -> c112(4'(3(2(3(2(2(0(0(1(3(4(2(2(2(4(4(1(2(0(2(z0)))))))))))))))))))), 3'(2(3(2(2(0(0(1(3(4(2(2(2(4(4(1(2(0(2(z0))))))))))))))))))), 2'(3(2(2(0(0(1(3(4(2(2(2(4(4(1(2(0(2(z0)))))))))))))))))), 3'(2(2(0(0(1(3(4(2(2(2(4(4(1(2(0(2(z0))))))))))))))))), 2'(2(0(0(1(3(4(2(2(2(4(4(1(2(0(2(z0)))))))))))))))), 2'(0(0(1(3(4(2(2(2(4(4(1(2(0(2(z0))))))))))))))), 0'(0(1(3(4(2(2(2(4(4(1(2(0(2(z0)))))))))))))), 0'(1(3(4(2(2(2(4(4(1(2(0(2(z0))))))))))))), 1'(3(4(2(2(2(4(4(1(2(0(2(z0)))))))))))), 3'(4(2(2(2(4(4(1(2(0(2(z0))))))))))), 4'(2(2(2(4(4(1(2(0(2(z0)))))))))), 2'(2(2(4(4(1(2(0(2(z0))))))))), 2'(2(4(4(1(2(0(2(z0)))))))), 2'(4(4(1(2(0(2(z0))))))), 4'(4(1(2(0(2(z0)))))), 4'(1(2(0(2(z0))))), 1'(2(0(2(z0)))), 2'(0(2(z0))), 0'(2(z0)), 2'(z0))
   4'(c_0(c_4(c_2(c_2(c_3(c_3(c_2(c_2(c_1(c_2(c_1(c_0(c_1(c_0(c_3(c_2(c_1(c_2(c_0(z0)))))))))))))))))))) -> c113(1'(1(2(2(0(0(4(4(2(3(3(3(2(2(2(0(3(0(0(2(z0)))))))))))))))))))), 1'(2(2(0(0(4(4(2(3(3(3(2(2(2(0(3(0(0(2(z0))))))))))))))))))), 2'(2(0(0(4(4(2(3(3(3(2(2(2(0(3(0(0(2(z0)))))))))))))))))), 2'(0(0(4(4(2(3(3(3(2(2(2(0(3(0(0(2(z0))))))))))))))))), 0'(0(4(4(2(3(3(3(2(2(2(0(3(0(0(2(z0)))))))))))))))), 0'(4(4(2(3(3(3(2(2(2(0(3(0(0(2(z0))))))))))))))), 4'(4(2(3(3(3(2(2(2(0(3(0(0(2(z0)))))))))))))), 4'(2(3(3(3(2(2(2(0(3(0(0(2(z0))))))))))))), 2'(3(3(3(2(2(2(0(3(0(0(2(z0)))))))))))), 3'(3(3(2(2(2(0(3(0(0(2(z0))))))))))), 3'(3(2(2(2(0(3(0(0(2(z0)))))))))), 3'(2(2(2(0(3(0(0(2(z0))))))))), 2'(2(2(0(3(0(0(2(z0)))))))), 2'(2(0(3(0(0(2(z0))))))), 2'(0(3(0(0(2(z0)))))), 0'(3(0(0(2(z0))))), 3'(0(0(2(z0)))), 0'(0(2(z0))), 0'(2(z0)), 2'(z0))
K tuples:none
Defined Rule Symbols:   2_1, 3_1, 0_1, 1_1, 4_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, c29_20, c30_20, c31_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, c64_20, c65_20, c66_20, c67_20, c68_20, c69_20, c70_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_20, c90_20, c91_20, c92_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_1(c_4(c_2(c_2(c_0(c_3(c_2(c_0(c_4(c_1(c_3(c_2(c_0(c_0(c_3(c_2(c_3(c_0(c_2(z0)))))))))))))))))))) -> 2(4(2(1(2(2(3(0(2(0(1(2(2(0(1(2(0(0(4(2(z0))))))))))))))))))))
   0(c_0(c_2(c_1(c_0(c_3(c_1(c_3(c_1(c_3(c_3(c_3(c_2(c_4(c_0(c_0(c_1(c_2(c_0(c_4(z0)))))))))))))))))))) -> 4(4(1(4(4(3(2(1(1(0(2(2(1(2(1(0(3(4(2(2(z0))))))))))))))))))))
   0(c_3(c_2(c_0(c_4(c_2(c_0(c_1(c_1(c_3(c_2(c_3(c_4(c_4(c_1(c_2(c_4(c_2(c_4(c_2(z0)))))))))))))))))))) -> 2(2(4(3(4(2(3(4(1(2(1(0(0(2(0(4(1(4(2(2(z0))))))))))))))))))))
   0(c_1(c_4(c_3(c_2(c_3(c_0(c_1(c_2(c_4(c_0(c_3(c_4(c_2(c_0(c_0(c_3(c_2(c_4(c_2(z0)))))))))))))))))))) -> 2(1(3(0(0(1(4(3(1(3(2(2(2(1(3(0(2(0(0(2(z0))))))))))))))))))))
   0(c_3(c_3(c_2(c_4(c_1(c_0(c_0(c_1(c_2(c_0(c_4(c_3(c_3(c_4(c_4(c_4(c_3(c_1(c_2(z0)))))))))))))))))))) -> 4(1(2(2(2(2(4(4(2(0(3(2(1(0(4(4(1(4(2(0(z0))))))))))))))))))))
   0(c_4(c_4(c_2(c_3(c_2(c_1(c_2(c_2(c_1(c_4(c_1(c_1(c_1(c_4(c_2(c_2(c_1(c_2(c_0(z0)))))))))))))))))))) -> 3(0(0(1(4(1(2(3(3(4(2(1(1(3(2(2(1(3(2(4(z0))))))))))))))))))))
   0(c_0(c_0(c_2(c_1(c_1(c_2(c_2(c_1(c_3(c_0(c_0(c_4(c_3(c_4(c_3(c_4(c_1(c_2(c_1(z0)))))))))))))))))))) -> 0(0(0(1(2(2(2(0(4(1(4(1(2(4(3(3(1(0(3(3(z0))))))))))))))))))))
   0(c_0(c_2(c_3(c_1(c_4(c_2(c_1(c_4(c_2(c_0(c_1(c_4(c_2(c_2(c_1(c_1(c_2(c_4(c_4(z0)))))))))))))))))))) -> 1(1(2(3(3(4(4(4(2(3(2(2(1(2(0(1(2(0(4(4(z0))))))))))))))))))))
   0(c_2(c_3(c_0(c_4(c_2(c_3(c_1(c_3(c_4(c_0(c_3(c_4(c_2(c_1(c_3(c_2(c_3(c_4(c_0(z0)))))))))))))))))))) -> 4(1(2(0(3(0(1(2(3(0(2(1(3(2(0(3(0(2(4(0(z0))))))))))))))))))))
   0(c_2(c_1(c_1(c_2(c_1(c_4(c_1(c_2(c_2(c_4(c_0(c_0(c_3(c_3(c_3(c_2(c_2(c_1(c_0(z0)))))))))))))))))))) -> 4(3(3(0(2(3(4(2(4(1(2(1(4(3(4(3(3(2(2(3(z0))))))))))))))))))))
   0(c_2(c_1(c_3(c_0(c_0(c_4(c_4(c_4(c_0(c_0(c_3(c_2(c_1(c_2(c_4(c_0(c_1(c_2(c_2(z0)))))))))))))))))))) -> 0(4(0(0(2(3(0(4(1(2(3(0(3(0(1(4(2(2(3(3(z0))))))))))))))))))))
   0(c_0(c_0(c_0(c_1(c_2(c_2(c_3(c_3(c_2(c_0(c_0(c_0(c_4(c_2(c_0(c_1(c_2(c_4(c_2(z0)))))))))))))))))))) -> 1(1(1(3(0(3(0(2(3(2(2(4(1(2(3(4(1(2(2(4(z0))))))))))))))))))))
   0(c_4(c_2(c_2(c_0(c_2(c_3(c_3(c_4(c_1(c_3(c_2(c_4(c_0(c_2(c_1(c_1(c_4(c_3(c_2(z0)))))))))))))))))))) -> 2(4(3(3(0(3(1(2(3(3(4(2(0(0(4(2(0(1(2(2(z0))))))))))))))))))))
   0(c_2(c_4(c_2(c_1(c_2(c_3(c_0(c_1(c_2(c_0(c_3(c_0(c_4(c_1(c_0(c_2(c_0(c_2(c_0(z0)))))))))))))))))))) -> 3(2(3(1(0(1(2(0(2(2(3(2(0(4(4(2(0(4(4(2(z0))))))))))))))))))))
   0(c_1(c_2(c_0(c_1(c_4(c_4(c_0(c_3(c_0(c_2(c_3(c_0(c_0(c_3(c_3(c_0(c_2(c_3(c_2(z0)))))))))))))))))))) -> 1(3(3(2(4(2(1(2(1(2(0(2(0(3(2(2(4(0(3(3(z0))))))))))))))))))))
   0(c_2(c_2(c_1(c_2(c_0(c_3(c_1(c_2(c_2(c_4(c_1(c_2(c_0(c_2(c_4(c_0(c_1(c_0(c_3(z0)))))))))))))))))))) -> 2(4(3(0(3(0(2(3(0(4(2(2(2(3(3(2(4(3(1(1(z0))))))))))))))))))))
   0(c_4(c_2(c_0(c_0(c_3(c_2(c_1(c_0(c_1(c_3(c_1(c_2(c_4(c_4(c_0(c_2(c_3(c_2(c_2(z0)))))))))))))))))))) -> 2(1(2(2(3(3(2(0(4(4(3(3(1(0(0(3(4(2(2(4(z0))))))))))))))))))))
   1(z0) -> c_1(z0)
   1(c_3(c_3(c_4(c_4(c_2(c_3(c_1(c_3(c_3(c_0(c_3(c_4(c_2(c_2(c_4(c_2(c_2(c_4(c_4(z0)))))))))))))))))))) -> 0(4(2(4(3(3(2(1(4(2(4(4(3(2(2(3(1(2(2(0(z0))))))))))))))))))))
   1(c_0(c_0(c_1(c_2(c_3(c_4(c_2(c_0(c_4(c_4(c_2(c_2(c_4(c_1(c_2(c_2(c_2(c_4(c_4(z0)))))))))))))))))))) -> 2(4(3(0(2(0(3(1(2(1(1(2(2(3(0(2(4(3(1(3(z0))))))))))))))))))))
   1(c_0(c_0(c_3(c_1(c_4(c_2(c_1(c_2(c_2(c_2(c_2(c_2(c_3(c_0(c_1(c_4(c_2(c_0(c_4(z0)))))))))))))))))))) -> 2(4(4(0(3(3(0(3(3(3(2(4(2(2(0(0(0(0(3(3(z0))))))))))))))))))))
   1(c_1(c_1(c_1(c_2(c_4(c_4(c_3(c_0(c_2(c_3(c_3(c_1(c_3(c_0(c_1(c_4(c_2(c_2(c_3(z0)))))))))))))))))))) -> 3(4(2(1(1(0(1(2(1(4(4(2(3(3(4(2(1(2(3(2(z0))))))))))))))))))))
   1(c_0(c_0(c_4(c_0(c_0(c_2(c_3(c_2(c_2(c_3(c_3(c_1(c_3(c_4(c_3(c_2(c_2(c_1(c_1(z0)))))))))))))))))))) -> 1(2(2(2(0(0(2(2(3(0(4(4(2(1(4(2(2(2(4(1(z0))))))))))))))))))))
   1(c_1(c_2(c_0(c_4(c_1(c_3(c_1(c_2(c_2(c_0(c_4(c_0(c_2(c_3(c_4(c_4(c_0(c_2(c_3(z0)))))))))))))))))))) -> 1(0(2(2(4(0(3(1(0(0(3(0(2(1(1(2(2(3(1(0(z0))))))))))))))))))))
   1(c_3(c_2(c_3(c_1(c_0(c_3(c_3(c_0(c_1(c_2(c_0(c_2(c_2(c_2(c_0(c_1(c_3(c_1(c_0(z0)))))))))))))))))))) -> 3(3(4(3(1(2(2(4(4(0(2(2(2(2(0(0(2(0(1(4(z0))))))))))))))))))))
   1(c_1(c_2(c_1(c_3(c_4(c_0(c_2(c_2(c_3(c_3(c_3(c_3(c_0(c_1(c_0(c_4(c_3(c_0(c_2(z0)))))))))))))))))))) -> 3(2(1(4(2(2(3(4(2(3(1(4(2(3(0(3(3(4(0(3(z0))))))))))))))))))))
   1(c_1(c_3(c_3(c_1(c_1(c_3(c_2(c_3(c_2(c_0(c_4(c_2(c_0(c_2(c_1(c_1(c_0(c_4(c_1(z0)))))))))))))))))))) -> 2(3(4(2(0(0(0(0(3(1(2(2(4(1(2(3(1(0(4(4(z0))))))))))))))))))))
   1(c_3(c_1(c_4(c_0(c_1(c_4(c_3(c_0(c_4(c_2(c_1(c_0(c_0(c_1(c_2(c_3(c_2(c_2(c_3(z0)))))))))))))))))))) -> 0(4(0(3(0(3(0(3(2(0(1(0(0(2(1(3(2(1(2(0(z0))))))))))))))))))))
   1(c_0(c_2(c_1(c_1(c_1(c_2(c_0(c_0(c_2(c_1(c_3(c_3(c_3(c_1(c_4(c_1(c_0(c_0(c_1(z0)))))))))))))))))))) -> 2(2(1(0(1(4(3(2(3(0(0(0(4(3(2(1(1(2(0(2(z0))))))))))))))))))))
   1(c_0(c_4(c_0(c_1(c_3(c_0(c_2(c_3(c_2(c_1(c_2(c_3(c_2(c_4(c_2(c_4(c_3(c_4(c_2(z0)))))))))))))))))))) -> 2(3(0(2(0(2(2(2(3(4(1(0(2(3(1(2(1(2(4(2(z0))))))))))))))))))))
   1(c_4(c_4(c_2(c_3(c_1(c_2(c_3(c_3(c_1(c_0(c_1(c_3(c_2(c_1(c_2(c_1(c_2(c_2(c_2(z0)))))))))))))))))))) -> 2(0(2(0(2(0(2(0(4(2(4(2(3(2(3(1(2(2(2(1(z0))))))))))))))))))))
   1(c_1(c_0(c_0(c_1(c_3(c_2(c_4(c_3(c_1(c_4(c_0(c_4(c_1(c_2(c_2(c_2(c_3(c_3(c_2(z0)))))))))))))))))))) -> 3(1(4(3(1(0(3(4(0(3(2(2(4(0(2(3(3(2(2(0(z0))))))))))))))))))))
   2(z0) -> c_2(z0)
   2(c_1(c_3(c_4(c_1(c_0(c_3(c_2(c_0(c_3(c_0(c_1(c_1(c_4(c_0(c_0(c_2(c_4(c_4(c_1(z0)))))))))))))))))))) -> 3(0(3(2(1(4(1(4(0(0(2(2(0(1(1(0(4(1(2(1(z0))))))))))))))))))))
   2(c_1(c_4(c_4(c_0(c_1(c_2(c_0(c_2(c_3(c_0(c_2(c_1(c_2(c_3(c_0(c_2(c_3(c_1(c_3(z0)))))))))))))))))))) -> 0(3(2(3(2(3(0(2(2(0(2(3(1(3(3(3(1(2(4(2(z0))))))))))))))))))))
   2(c_3(c_4(c_4(c_4(c_3(c_0(c_0(c_2(c_3(c_4(c_3(c_0(c_4(c_3(c_0(c_1(c_2(c_4(c_2(z0)))))))))))))))))))) -> 3(3(2(0(4(0(2(4(2(3(2(2(4(4(0(4(0(3(4(1(z0))))))))))))))))))))
   2(c_0(c_3(c_2(c_0(c_3(c_2(c_4(c_1(c_2(c_3(c_1(c_4(c_1(c_3(c_3(c_3(c_0(c_1(c_3(z0)))))))))))))))))))) -> 3(0(3(2(1(1(1(3(4(0(3(2(0(2(2(3(2(0(3(2(z0))))))))))))))))))))
   2(c_4(c_2(c_2(c_1(c_2(c_4(c_2(c_3(c_0(c_1(c_0(c_2(c_1(c_2(c_0(c_0(c_0(c_4(c_0(z0)))))))))))))))))))) -> 2(3(0(2(0(3(0(2(1(0(4(2(2(1(3(1(3(0(4(3(z0))))))))))))))))))))
   2(c_3(c_1(c_2(c_3(c_3(c_3(c_1(c_1(c_1(c_0(c_1(c_2(c_4(c_0(c_4(c_2(c_1(c_2(c_2(z0)))))))))))))))))))) -> 2(2(0(1(4(3(2(2(4(3(0(2(4(3(2(0(0(1(0(2(z0))))))))))))))))))))
   2(c_4(c_0(c_3(c_1(c_2(c_1(c_1(c_2(c_0(c_2(c_2(c_0(c_3(c_2(c_1(c_1(c_0(c_1(c_3(z0)))))))))))))))))))) -> 2(3(3(1(3(1(2(1(1(0(2(0(0(2(3(3(0(3(3(3(z0))))))))))))))))))))
   2(c_4(c_3(c_2(c_0(c_2(c_4(c_1(c_2(c_0(c_4(c_1(c_2(c_3(c_1(c_2(c_3(c_4(c_1(c_1(z0)))))))))))))))))))) -> 2(0(1(1(2(2(4(3(2(2(1(3(0(1(2(3(0(4(4(4(z0))))))))))))))))))))
   2(c_0(c_0(c_0(c_2(c_2(c_3(c_1(c_3(c_1(c_0(c_4(c_3(c_3(c_0(c_2(c_4(c_1(c_0(c_3(z0)))))))))))))))))))) -> 4(0(3(4(3(4(0(0(2(2(2(1(2(2(2(1(1(2(0(4(z0))))))))))))))))))))
   2(c_4(c_3(c_2(c_2(c_4(c_0(c_3(c_2(c_4(c_3(c_1(c_0(c_4(c_4(c_3(c_3(c_2(c_2(c_1(z0)))))))))))))))))))) -> 3(4(3(0(2(2(2(4(3(2(0(3(0(3(2(0(3(0(4(2(z0))))))))))))))))))))
   2(c_3(c_0(c_1(c_3(c_3(c_4(c_2(c_1(c_4(c_4(c_2(c_3(c_1(c_1(c_1(c_2(c_3(c_0(c_2(z0)))))))))))))))))))) -> 2(2(3(0(4(4(0(0(1(3(3(0(4(3(4(2(2(4(3(2(z0))))))))))))))))))))
   2(c_4(c_0(c_0(c_3(c_2(c_2(c_2(c_1(c_1(c_4(c_0(c_1(c_2(c_2(c_3(c_4(c_2(c_3(c_4(z0)))))))))))))))))))) -> 3(1(3(2(2(4(0(3(2(1(0(0(2(3(3(3(2(3(4(3(z0))))))))))))))))))))
   2(c_0(c_4(c_2(c_2(c_3(c_4(c_0(c_1(c_0(c_3(c_2(c_1(c_3(c_0(c_3(c_1(c_1(c_3(c_0(z0)))))))))))))))))))) -> 0(3(0(1(2(2(2(0(0(3(3(2(1(1(0(4(2(1(2(4(z0))))))))))))))))))))
   2(c_3(c_4(c_0(c_0(c_4(c_3(c_3(c_2(c_3(c_4(c_0(c_2(c_0(c_4(c_4(c_0(c_2(c_4(c_2(z0)))))))))))))))))))) -> 1(3(1(3(3(2(0(2(2(3(0(1(2(2(2(4(1(2(1(1(z0))))))))))))))))))))
   2(c_1(c_3(c_2(c_2(c_0(c_4(c_4(c_0(c_4(c_1(c_2(c_3(c_3(c_0(c_2(c_1(c_4(c_4(c_4(z0)))))))))))))))))))) -> 4(3(2(3(2(2(2(1(4(1(2(2(0(1(1(1(0(0(3(4(z0))))))))))))))))))))
   2(c_0(c_3(c_4(c_1(c_2(c_0(c_2(c_3(c_3(c_1(c_2(c_0(c_1(c_2(c_0(c_4(c_4(c_4(c_2(z0)))))))))))))))))))) -> 2(2(2(4(3(2(0(1(4(1(2(3(0(3(1(3(3(1(2(4(z0))))))))))))))))))))
   2(c_0(c_2(c_1(c_1(c_0(c_1(c_0(c_2(c_2(c_0(c_1(c_2(c_0(c_2(c_4(c_0(c_1(c_2(c_0(z0)))))))))))))))))))) -> 3(0(2(4(1(2(0(4(2(1(3(0(2(3(4(2(3(3(4(0(z0))))))))))))))))))))
   2(c_4(c_4(c_4(c_2(c_2(c_2(c_0(c_4(c_3(c_4(c_3(c_4(c_2(c_3(c_1(c_4(c_3(c_1(c_3(z0)))))))))))))))))))) -> 2(3(4(2(1(1(1(3(2(3(0(2(4(1(2(0(2(1(1(4(z0))))))))))))))))))))
   2(c_3(c_1(c_1(c_3(c_2(c_1(c_1(c_1(c_3(c_2(c_3(c_4(c_2(c_2(c_3(c_4(c_3(c_3(c_0(z0)))))))))))))))))))) -> 0(4(4(2(4(0(2(3(2(0(2(1(2(4(4(3(2(3(2(2(z0))))))))))))))))))))
   2(c_0(c_2(c_4(c_2(c_2(c_2(c_4(c_3(c_0(c_0(c_1(c_0(c_1(c_0(c_3(c_0(c_3(c_2(c_4(z0)))))))))))))))))))) -> 0(3(0(2(2(0(2(1(3(2(3(3(0(2(0(4(3(3(3(2(z0))))))))))))))))))))
   2(c_4(c_1(c_3(c_2(c_2(c_1(c_4(c_2(c_1(c_1(c_1(c_2(c_2(c_2(c_0(c_3(c_0(c_2(c_4(z0)))))))))))))))))))) -> 3(3(1(4(3(2(3(2(2(3(2(1(1(0(3(3(3(4(0(2(z0))))))))))))))))))))
   2(c_0(c_0(c_0(c_3(c_1(c_0(c_2(c_4(c_2(c_2(c_2(c_4(c_0(c_4(c_0(c_1(c_0(c_3(c_4(z0)))))))))))))))))))) -> 1(4(2(4(4(4(4(3(2(4(4(3(2(2(0(0(4(1(2(2(z0))))))))))))))))))))
   2(c_3(c_3(c_3(c_0(c_0(c_1(c_0(c_2(c_4(c_3(c_1(c_1(c_3(c_2(c_1(c_2(c_2(c_2(c_1(z0)))))))))))))))))))) -> 3(4(2(2(0(0(0(0(2(4(2(3(2(0(3(2(3(0(2(3(z0))))))))))))))))))))
   2(c_1(c_4(c_1(c_3(c_4(c_3(c_2(c_2(c_0(c_1(c_0(c_2(c_1(c_0(c_3(c_4(c_2(c_4(c_2(z0)))))))))))))))))))) -> 4(2(2(2(3(3(4(1(4(0(2(3(2(1(0(3(2(3(3(4(z0))))))))))))))))))))
   2(c_4(c_2(c_2(c_1(c_1(c_2(c_3(c_0(c_1(c_0(c_0(c_3(c_2(c_1(c_0(c_0(c_1(c_0(c_2(z0)))))))))))))))))))) -> 2(2(2(3(3(4(1(4(3(0(0(2(0(1(1(2(3(0(2(4(z0))))))))))))))))))))
   2(c_4(c_0(c_0(c_4(c_2(c_1(c_3(c_3(c_3(c_2(c_0(c_4(c_1(c_4(c_0(c_2(c_1(c_3(c_2(z0)))))))))))))))))))) -> 0(4(2(4(0(3(2(1(2(4(2(2(3(1(0(1(2(3(3(2(z0))))))))))))))))))))
   2(c_0(c_4(c_2(c_1(c_3(c_4(c_4(c_2(c_1(c_0(c_3(c_2(c_1(c_3(c_2(c_1(c_4(c_2(c_4(z0)))))))))))))))))))) -> 0(2(4(2(2(2(0(2(4(3(3(2(3(3(4(1(0(3(0(4(z0))))))))))))))))))))
   3(z0) -> c_3(z0)
   3(c_0(c_1(c_4(c_2(c_2(c_3(c_4(c_4(c_3(c_0(c_2(c_1(c_4(c_1(c_0(c_1(c_0(c_2(c_3(z0)))))))))))))))))))) -> 4(2(0(4(1(1(2(0(2(4(0(3(4(4(3(2(0(3(3(2(z0))))))))))))))))))))
   3(c_1(c_1(c_1(c_2(c_0(c_1(c_3(c_3(c_2(c_1(c_3(c_4(c_1(c_2(c_2(c_3(c_3(c_2(c_3(z0)))))))))))))))))))) -> 2(3(2(2(4(3(4(2(3(1(2(2(4(2(3(0(4(3(0(3(z0))))))))))))))))))))
   3(c_2(c_2(c_3(c_4(c_3(c_2(c_2(c_0(c_4(c_1(c_4(c_3(c_4(c_2(c_1(c_4(c_1(c_0(c_2(z0)))))))))))))))))))) -> 2(1(3(3(3(2(2(4(0(4(0(4(2(0(2(1(3(3(3(3(z0))))))))))))))))))))
   3(c_3(c_2(c_4(c_3(c_0(c_2(c_1(c_4(c_3(c_3(c_4(c_4(c_1(c_1(c_4(c_3(c_3(c_2(c_2(z0)))))))))))))))))))) -> 4(1(2(3(2(0(3(3(0(3(2(3(1(1(2(0(1(0(2(2(z0))))))))))))))))))))
   3(c_1(c_4(c_3(c_4(c_2(c_1(c_1(c_1(c_4(c_3(c_1(c_3(c_2(c_2(c_4(c_2(c_2(c_1(c_1(z0)))))))))))))))))))) -> 2(1(2(4(2(4(1(4(2(1(4(0(0(1(2(3(3(2(1(3(z0))))))))))))))))))))
   3(c_3(c_0(c_4(c_4(c_1(c_0(c_2(c_3(c_2(c_1(c_2(c_2(c_3(c_3(c_1(c_0(c_2(c_4(c_1(z0)))))))))))))))))))) -> 4(2(1(2(3(3(3(3(0(2(0(3(0(2(3(1(2(1(1(0(z0))))))))))))))))))))
   3(c_1(c_1(c_0(c_0(c_2(c_2(c_4(c_2(c_2(c_2(c_2(c_1(c_2(c_2(c_1(c_1(c_1(c_1(c_4(z0)))))))))))))))))))) -> 4(2(1(4(1(3(2(2(4(4(2(3(3(3(3(2(4(3(2(3(z0))))))))))))))))))))
   3(c_0(c_0(c_1(c_0(c_2(c_3(c_3(c_2(c_0(c_2(c_1(c_1(c_0(c_4(c_3(c_2(c_0(c_4(c_2(z0)))))))))))))))))))) -> 1(0(0(2(1(4(4(0(2(3(0(2(4(4(2(3(2(4(0(2(z0))))))))))))))))))))
   3(c_2(c_3(c_2(c_2(c_0(c_0(c_4(c_1(c_0(c_0(c_4(c_0(c_3(c_3(c_2(c_2(c_1(c_0(c_3(z0)))))))))))))))))))) -> 1(3(1(2(0(4(0(3(2(4(3(0(2(1(2(2(1(2(2(3(z0))))))))))))))))))))
   3(c_4(c_4(c_4(c_3(c_1(c_4(c_3(c_0(c_2(c_2(c_0(c_4(c_4(c_1(c_3(c_3(c_3(c_2(c_2(z0)))))))))))))))))))) -> 4(2(2(3(0(0(3(1(1(1(4(4(3(0(3(2(1(0(2(2(z0))))))))))))))))))))
   3(c_0(c_1(c_0(c_2(c_2(c_3(c_1(c_2(c_1(c_1(c_1(c_0(c_0(c_2(c_2(c_1(c_3(c_1(c_3(z0)))))))))))))))))))) -> 3(1(4(1(2(1(0(3(2(0(0(1(0(2(4(0(2(2(3(2(z0))))))))))))))))))))
   3(c_3(c_1(c_0(c_2(c_4(c_2(c_3(c_1(c_0(c_2(c_4(c_4(c_4(c_0(c_0(c_2(c_1(c_1(c_2(z0)))))))))))))))))))) -> 2(4(2(3(2(3(4(0(4(2(4(3(1(0(1(2(0(3(2(0(z0))))))))))))))))))))
   3(c_2(c_0(c_3(c_2(c_4(c_4(c_2(c_2(c_2(c_0(c_1(c_2(c_2(c_3(c_4(c_0(c_2(c_4(c_1(z0)))))))))))))))))))) -> 0(0(2(3(0(2(1(2(2(2(3(2(1(3(4(3(4(2(2(2(z0))))))))))))))))))))
   3(c_3(c_3(c_0(c_2(c_0(c_2(c_2(c_1(c_0(c_0(c_4(c_4(c_2(c_0(c_2(c_3(c_0(c_2(c_4(z0)))))))))))))))))))) -> 2(3(3(2(4(3(4(2(3(3(1(0(1(2(4(3(0(3(3(2(z0))))))))))))))))))))
   3(c_0(c_1(c_4(c_3(c_1(c_2(c_0(c_3(c_2(c_3(c_2(c_2(c_0(c_2(c_2(c_3(c_1(c_2(c_2(z0)))))))))))))))))))) -> 0(2(2(3(0(2(0(3(1(3(1(2(2(2(3(2(2(0(4(2(z0))))))))))))))))))))
   3(c_4(c_2(c_1(c_4(c_1(c_0(c_2(c_4(c_3(c_3(c_4(c_3(c_3(c_1(c_2(c_2(c_3(c_3(c_3(z0)))))))))))))))))))) -> 4(2(0(1(2(0(2(0(0(2(1(4(0(3(2(2(3(2(2(4(z0))))))))))))))))))))
   3(c_1(c_0(c_3(c_2(c_2(c_1(c_1(c_4(c_4(c_0(c_2(c_2(c_4(c_3(c_2(c_2(c_3(c_4(c_2(z0)))))))))))))))))))) -> 2(0(4(3(3(2(2(2(4(0(4(3(2(2(2(0(3(0(4(2(z0))))))))))))))))))))
   3(c_0(c_1(c_3(c_2(c_0(c_1(c_3(c_4(c_2(c_3(c_1(c_2(c_2(c_1(c_2(c_3(c_1(c_3(c_1(z0)))))))))))))))))))) -> 2(3(2(3(0(2(1(2(2(4(3(3(3(2(1(0(1(3(2(2(z0))))))))))))))))))))
   3(c_0(c_2(c_4(c_0(c_4(c_0(c_1(c_2(c_1(c_4(c_3(c_0(c_4(c_3(c_0(c_3(c_3(c_3(c_2(z0)))))))))))))))))))) -> 1(0(4(3(1(4(2(3(3(4(3(0(0(2(2(3(4(0(4(2(z0))))))))))))))))))))
   3(c_2(c_0(c_3(c_4(c_4(c_4(c_1(c_0(c_2(c_2(c_1(c_4(c_0(c_0(c_4(c_3(c_2(c_3(c_1(z0)))))))))))))))))))) -> 0(4(0(3(4(2(0(3(1(3(3(1(1(0(3(2(2(3(0(3(z0))))))))))))))))))))
   3(c_0(c_3(c_2(c_0(c_0(c_2(c_2(c_3(c_0(c_0(c_4(c_3(c_4(c_2(c_4(c_2(c_3(c_3(c_3(z0)))))))))))))))))))) -> 3(0(0(1(3(2(2(2(3(3(2(0(1(2(3(3(4(2(2(4(z0))))))))))))))))))))
   4(z0) -> c_4(z0)
   4(c_1(c_4(c_3(c_1(c_0(c_4(c_4(c_1(c_3(c_3(c_2(c_2(c_1(c_2(c_2(c_3(c_2(c_0(c_0(z0)))))))))))))))))))) -> 2(2(4(4(3(3(2(1(4(4(3(2(3(4(1(2(1(1(3(0(z0))))))))))))))))))))
   4(c_1(c_2(c_3(c_2(c_0(c_0(c_1(c_0(c_2(c_3(c_1(c_3(c_2(c_3(c_1(c_0(c_1(c_4(c_2(z0)))))))))))))))))))) -> 1(1(1(0(2(3(0(3(3(2(4(3(3(2(0(2(1(2(3(3(z0))))))))))))))))))))
   4(c_3(c_0(c_3(c_4(c_3(c_3(c_0(c_1(c_3(c_2(c_3(c_3(c_4(c_3(c_0(c_0(c_3(c_4(c_2(z0)))))))))))))))))))) -> 1(1(0(4(0(0(0(2(4(0(2(2(3(2(3(3(0(4(3(2(z0))))))))))))))))))))
   4(c_3(c_2(c_0(c_0(c_3(c_4(c_2(c_0(c_3(c_0(c_1(c_0(c_1(c_1(c_4(c_0(c_2(c_2(c_4(z0)))))))))))))))))))) -> 4(1(2(2(4(4(2(1(4(3(2(0(0(0(2(4(1(2(0(3(z0))))))))))))))))))))
   4(c_0(c_3(c_2(c_0(c_3(c_3(c_2(c_3(c_1(c_4(c_3(c_2(c_2(c_3(c_1(c_3(c_1(c_0(c_4(z0)))))))))))))))))))) -> 0(0(0(2(1(3(3(4(2(4(3(3(2(4(2(3(3(0(0(3(z0))))))))))))))))))))
   4(c_4(c_0(c_3(c_0(c_1(c_3(c_2(c_2(c_2(c_3(c_1(c_0(c_2(c_3(c_3(c_0(c_2(c_4(c_4(z0)))))))))))))))))))) -> 2(1(3(2(2(2(4(0(3(2(2(2(2(2(0(3(0(2(0(3(z0))))))))))))))))))))
   4(c_4(c_4(c_4(c_3(c_2(c_0(c_3(c_2(c_4(c_2(c_4(c_1(c_2(c_1(c_4(c_2(c_3(c_0(c_0(z0)))))))))))))))))))) -> 3(4(2(3(3(2(2(1(3(4(2(3(1(4(4(3(1(1(3(3(z0))))))))))))))))))))
   4(c_0(c_2(c_3(c_1(c_1(c_2(c_3(c_1(c_1(c_2(c_0(c_4(c_3(c_0(c_2(c_3(c_2(c_3(c_3(z0)))))))))))))))))))) -> 2(2(4(2(2(3(0(2(4(2(3(1(3(2(2(3(4(1(0(2(z0))))))))))))))))))))
   4(c_3(c_0(c_3(c_2(c_0(c_2(c_2(c_3(c_1(c_0(c_2(c_0(c_0(c_2(c_3(c_1(c_3(c_4(c_4(z0)))))))))))))))))))) -> 1(4(0(3(3(2(2(2(0(2(3(1(2(3(3(0(3(1(0(1(z0))))))))))))))))))))
   4(c_2(c_4(c_0(c_2(c_3(c_1(c_0(c_2(c_1(c_2(c_2(c_4(c_1(c_4(c_3(c_1(c_0(c_3(c_2(z0)))))))))))))))))))) -> 1(3(0(2(3(2(0(0(0(3(3(2(4(4(3(3(2(4(3(0(z0))))))))))))))))))))
   4(c_2(c_3(c_2(c_2(c_0(c_0(c_4(c_0(c_2(c_0(c_1(c_3(c_0(c_2(c_1(c_0(c_1(c_2(c_4(z0)))))))))))))))))))) -> 1(0(2(0(4(3(4(3(0(3(2(2(4(0(2(1(2(2(4(2(z0))))))))))))))))))))
   4(c_4(c_0(c_3(c_0(c_4(c_2(c_4(c_2(c_3(c_0(c_2(c_2(c_0(c_4(c_3(c_3(c_4(c_2(c_2(z0)))))))))))))))))))) -> 2(3(3(1(0(2(2(3(1(4(0(0(1(2(2(0(4(4(2(2(z0))))))))))))))))))))
   4(c_0(c_0(c_0(c_0(c_4(c_2(c_1(c_1(c_1(c_1(c_3(c_2(c_4(c_0(c_0(c_3(c_2(c_4(c_1(z0)))))))))))))))))))) -> 2(1(2(2(0(2(4(3(1(0(4(1(4(0(3(4(1(3(4(4(z0))))))))))))))))))))
   4(c_4(c_2(c_2(c_0(c_0(c_3(c_0(c_3(c_1(c_2(c_3(c_3(c_1(c_2(c_2(c_2(c_4(c_4(c_4(z0)))))))))))))))))))) -> 4(2(3(0(2(2(0(2(2(4(3(1(1(4(4(2(4(2(3(3(z0))))))))))))))))))))
   4(c_2(c_3(c_0(c_2(c_2(c_4(c_0(c_0(c_3(c_1(c_2(c_0(c_4(c_2(c_0(c_2(c_3(c_3(c_0(z0)))))))))))))))))))) -> 2(2(2(2(4(0(3(0(4(1(2(2(1(3(3(2(0(3(1(0(z0))))))))))))))))))))
   4(c_1(c_1(c_1(c_4(c_2(c_4(c_2(c_0(c_2(c_3(c_3(c_1(c_3(c_0(c_2(c_2(c_0(c_0(c_3(z0)))))))))))))))))))) -> 0(4(2(1(2(2(2(0(4(2(3(3(0(2(1(4(0(1(4(2(z0))))))))))))))))))))
   4(c_0(c_2(c_2(c_4(c_3(c_1(c_3(c_4(c_0(c_0(c_0(c_2(c_2(c_2(c_3(c_0(c_4(c_2(c_4(z0)))))))))))))))))))) -> 2(1(3(3(4(4(1(0(3(2(2(3(0(0(4(3(3(4(2(2(z0))))))))))))))))))))
   4(c_3(c_3(c_3(c_0(c_2(c_1(c_2(c_2(c_3(c_2(c_0(c_1(c_1(c_4(c_1(c_3(c_4(c_2(c_4(z0)))))))))))))))))))) -> 3(4(1(3(3(2(1(2(1(1(0(2(2(0(0(1(1(2(3(2(z0))))))))))))))))))))
   4(c_4(c_4(c_1(c_3(c_3(c_4(c_4(c_2(c_2(c_0(c_1(c_0(c_2(c_4(c_3(c_2(c_2(c_0(c_2(z0)))))))))))))))))))) -> 4(3(2(3(2(2(0(0(1(3(4(2(2(2(4(4(1(2(0(2(z0))))))))))))))))))))
   4(c_0(c_4(c_2(c_2(c_3(c_3(c_2(c_2(c_1(c_2(c_1(c_0(c_1(c_0(c_3(c_2(c_1(c_2(c_0(z0)))))))))))))))))))) -> 1(1(2(2(0(0(4(4(2(3(3(3(2(2(2(0(3(0(0(2(z0))))))))))))))))))))
Tuples:
   ENCARG(cons_0(z0)) -> c(0'(encArg(z0)), ENCARG(z0))
   ENCARG(cons_1(z0)) -> c1(1'(encArg(z0)), ENCARG(z0))
   ENCARG(cons_2(z0)) -> c2(2'(encArg(z0)), ENCARG(z0))
   ENCARG(cons_3(z0)) -> c3(3'(encArg(z0)), ENCARG(z0))
   ENCARG(cons_4(z0)) -> c4(4'(encArg(z0)), ENCARG(z0))
   0'(c_1(c_4(c_2(c_2(c_0(c_3(c_2(c_0(c_4(c_1(c_3(c_2(c_0(c_0(c_3(c_2(c_3(c_0(c_2(z0)))))))))))))))))))) -> c11(2'(4(2(1(2(2(3(0(2(0(1(2(2(0(1(2(0(0(4(2(z0)))))))))))))))))))), 4'(2(1(2(2(3(0(2(0(1(2(2(0(1(2(0(0(4(2(z0))))))))))))))))))), 2'(1(2(2(3(0(2(0(1(2(2(0(1(2(0(0(4(2(z0)))))))))))))))))), 1'(2(2(3(0(2(0(1(2(2(0(1(2(0(0(4(2(z0))))))))))))))))), 2'(2(3(0(2(0(1(2(2(0(1(2(0(0(4(2(z0)))))))))))))))), 2'(3(0(2(0(1(2(2(0(1(2(0(0(4(2(z0))))))))))))))), 3'(0(2(0(1(2(2(0(1(2(0(0(4(2(z0)))))))))))))), 0'(2(0(1(2(2(0(1(2(0(0(4(2(z0))))))))))))), 2'(0(1(2(2(0(1(2(0(0(4(2(z0)))))))))))), 0'(1(2(2(0(1(2(0(0(4(2(z0))))))))))), 1'(2(2(0(1(2(0(0(4(2(z0)))))))))), 2'(2(0(1(2(0(0(4(2(z0))))))))), 2'(0(1(2(0(0(4(2(z0)))))))), 0'(1(2(0(0(4(2(z0))))))), 1'(2(0(0(4(2(z0)))))), 2'(0(0(4(2(z0))))), 0'(0(4(2(z0)))), 0'(4(2(z0))), 4'(2(z0)), 2'(z0))
   0'(c_0(c_2(c_1(c_0(c_3(c_1(c_3(c_1(c_3(c_3(c_3(c_2(c_4(c_0(c_0(c_1(c_2(c_0(c_4(z0)))))))))))))))))))) -> c12(4'(4(1(4(4(3(2(1(1(0(2(2(1(2(1(0(3(4(2(2(z0)))))))))))))))))))), 4'(1(4(4(3(2(1(1(0(2(2(1(2(1(0(3(4(2(2(z0))))))))))))))))))), 1'(4(4(3(2(1(1(0(2(2(1(2(1(0(3(4(2(2(z0)))))))))))))))))), 4'(4(3(2(1(1(0(2(2(1(2(1(0(3(4(2(2(z0))))))))))))))))), 4'(3(2(1(1(0(2(2(1(2(1(0(3(4(2(2(z0)))))))))))))))), 3'(2(1(1(0(2(2(1(2(1(0(3(4(2(2(z0))))))))))))))), 2'(1(1(0(2(2(1(2(1(0(3(4(2(2(z0)))))))))))))), 1'(1(0(2(2(1(2(1(0(3(4(2(2(z0))))))))))))), 1'(0(2(2(1(2(1(0(3(4(2(2(z0)))))))))))), 0'(2(2(1(2(1(0(3(4(2(2(z0))))))))))), 2'(2(1(2(1(0(3(4(2(2(z0)))))))))), 2'(1(2(1(0(3(4(2(2(z0))))))))), 1'(2(1(0(3(4(2(2(z0)))))))), 2'(1(0(3(4(2(2(z0))))))), 1'(0(3(4(2(2(z0)))))), 0'(3(4(2(2(z0))))), 3'(4(2(2(z0)))), 4'(2(2(z0))), 2'(2(z0)), 2'(z0))
   0'(c_3(c_2(c_0(c_4(c_2(c_0(c_1(c_1(c_3(c_2(c_3(c_4(c_4(c_1(c_2(c_4(c_2(c_4(c_2(z0)))))))))))))))))))) -> c13(2'(2(4(3(4(2(3(4(1(2(1(0(0(2(0(4(1(4(2(2(z0)))))))))))))))))))), 2'(4(3(4(2(3(4(1(2(1(0(0(2(0(4(1(4(2(2(z0))))))))))))))))))), 4'(3(4(2(3(4(1(2(1(0(0(2(0(4(1(4(2(2(z0)))))))))))))))))), 3'(4(2(3(4(1(2(1(0(0(2(0(4(1(4(2(2(z0))))))))))))))))), 4'(2(3(4(1(2(1(0(0(2(0(4(1(4(2(2(z0)))))))))))))))), 2'(3(4(1(2(1(0(0(2(0(4(1(4(2(2(z0))))))))))))))), 3'(4(1(2(1(0(0(2(0(4(1(4(2(2(z0)))))))))))))), 4'(1(2(1(0(0(2(0(4(1(4(2(2(z0))))))))))))), 1'(2(1(0(0(2(0(4(1(4(2(2(z0)))))))))))), 2'(1(0(0(2(0(4(1(4(2(2(z0))))))))))), 1'(0(0(2(0(4(1(4(2(2(z0)))))))))), 0'(0(2(0(4(1(4(2(2(z0))))))))), 0'(2(0(4(1(4(2(2(z0)))))))), 2'(0(4(1(4(2(2(z0))))))), 0'(4(1(4(2(2(z0)))))), 4'(1(4(2(2(z0))))), 1'(4(2(2(z0)))), 4'(2(2(z0))), 2'(2(z0)), 2'(z0))
   0'(c_1(c_4(c_3(c_2(c_3(c_0(c_1(c_2(c_4(c_0(c_3(c_4(c_2(c_0(c_0(c_3(c_2(c_4(c_2(z0)))))))))))))))))))) -> c14(2'(1(3(0(0(1(4(3(1(3(2(2(2(1(3(0(2(0(0(2(z0)))))))))))))))))))), 1'(3(0(0(1(4(3(1(3(2(2(2(1(3(0(2(0(0(2(z0))))))))))))))))))), 3'(0(0(1(4(3(1(3(2(2(2(1(3(0(2(0(0(2(z0)))))))))))))))))), 0'(0(1(4(3(1(3(2(2(2(1(3(0(2(0(0(2(z0))))))))))))))))), 0'(1(4(3(1(3(2(2(2(1(3(0(2(0(0(2(z0)))))))))))))))), 1'(4(3(1(3(2(2(2(1(3(0(2(0(0(2(z0))))))))))))))), 4'(3(1(3(2(2(2(1(3(0(2(0(0(2(z0)))))))))))))), 3'(1(3(2(2(2(1(3(0(2(0(0(2(z0))))))))))))), 1'(3(2(2(2(1(3(0(2(0(0(2(z0)))))))))))), 3'(2(2(2(1(3(0(2(0(0(2(z0))))))))))), 2'(2(2(1(3(0(2(0(0(2(z0)))))))))), 2'(2(1(3(0(2(0(0(2(z0))))))))), 2'(1(3(0(2(0(0(2(z0)))))))), 1'(3(0(2(0(0(2(z0))))))), 3'(0(2(0(0(2(z0)))))), 0'(2(0(0(2(z0))))), 2'(0(0(2(z0)))), 0'(0(2(z0))), 0'(2(z0)), 2'(z0))
   0'(c_3(c_3(c_2(c_4(c_1(c_0(c_0(c_1(c_2(c_0(c_4(c_3(c_3(c_4(c_4(c_4(c_3(c_1(c_2(z0)))))))))))))))))))) -> c15(4'(1(2(2(2(2(4(4(2(0(3(2(1(0(4(4(1(4(2(0(z0)))))))))))))))))))), 1'(2(2(2(2(4(4(2(0(3(2(1(0(4(4(1(4(2(0(z0))))))))))))))))))), 2'(2(2(2(4(4(2(0(3(2(1(0(4(4(1(4(2(0(z0)))))))))))))))))), 2'(2(2(4(4(2(0(3(2(1(0(4(4(1(4(2(0(z0))))))))))))))))), 2'(2(4(4(2(0(3(2(1(0(4(4(1(4(2(0(z0)))))))))))))))), 2'(4(4(2(0(3(2(1(0(4(4(1(4(2(0(z0))))))))))))))), 4'(4(2(0(3(2(1(0(4(4(1(4(2(0(z0)))))))))))))), 4'(2(0(3(2(1(0(4(4(1(4(2(0(z0))))))))))))), 2'(0(3(2(1(0(4(4(1(4(2(0(z0)))))))))))), 0'(3(2(1(0(4(4(1(4(2(0(z0))))))))))), 3'(2(1(0(4(4(1(4(2(0(z0)))))))))), 2'(1(0(4(4(1(4(2(0(z0))))))))), 1'(0(4(4(1(4(2(0(z0)))))))), 0'(4(4(1(4(2(0(z0))))))), 4'(4(1(4(2(0(z0)))))), 4'(1(4(2(0(z0))))), 1'(4(2(0(z0)))), 4'(2(0(z0))), 2'(0(z0)), 0'(z0))
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   4'(c_0(c_0(c_0(c_0(c_4(c_2(c_1(c_1(c_1(c_1(c_3(c_2(c_4(c_0(c_0(c_3(c_2(c_4(c_1(z0)))))))))))))))))))) -> c106(2'(1(2(2(0(2(4(3(1(0(4(1(4(0(3(4(1(3(4(4(z0)))))))))))))))))))), 1'(2(2(0(2(4(3(1(0(4(1(4(0(3(4(1(3(4(4(z0))))))))))))))))))), 2'(2(0(2(4(3(1(0(4(1(4(0(3(4(1(3(4(4(z0)))))))))))))))))), 2'(0(2(4(3(1(0(4(1(4(0(3(4(1(3(4(4(z0))))))))))))))))), 0'(2(4(3(1(0(4(1(4(0(3(4(1(3(4(4(z0)))))))))))))))), 2'(4(3(1(0(4(1(4(0(3(4(1(3(4(4(z0))))))))))))))), 4'(3(1(0(4(1(4(0(3(4(1(3(4(4(z0)))))))))))))), 3'(1(0(4(1(4(0(3(4(1(3(4(4(z0))))))))))))), 1'(0(4(1(4(0(3(4(1(3(4(4(z0)))))))))))), 0'(4(1(4(0(3(4(1(3(4(4(z0))))))))))), 4'(1(4(0(3(4(1(3(4(4(z0)))))))))), 1'(4(0(3(4(1(3(4(4(z0))))))))), 4'(0(3(4(1(3(4(4(z0)))))))), 0'(3(4(1(3(4(4(z0))))))), 3'(4(1(3(4(4(z0)))))), 4'(1(3(4(4(z0))))), 1'(3(4(4(z0)))), 3'(4(4(z0))), 4'(4(z0)), 4'(z0))
   4'(c_4(c_2(c_2(c_0(c_0(c_3(c_0(c_3(c_1(c_2(c_3(c_3(c_1(c_2(c_2(c_2(c_4(c_4(c_4(z0)))))))))))))))))))) -> c107(4'(2(3(0(2(2(0(2(2(4(3(1(1(4(4(2(4(2(3(3(z0)))))))))))))))))))), 2'(3(0(2(2(0(2(2(4(3(1(1(4(4(2(4(2(3(3(z0))))))))))))))))))), 3'(0(2(2(0(2(2(4(3(1(1(4(4(2(4(2(3(3(z0)))))))))))))))))), 0'(2(2(0(2(2(4(3(1(1(4(4(2(4(2(3(3(z0))))))))))))))))), 2'(2(0(2(2(4(3(1(1(4(4(2(4(2(3(3(z0)))))))))))))))), 2'(0(2(2(4(3(1(1(4(4(2(4(2(3(3(z0))))))))))))))), 0'(2(2(4(3(1(1(4(4(2(4(2(3(3(z0)))))))))))))), 2'(2(4(3(1(1(4(4(2(4(2(3(3(z0))))))))))))), 2'(4(3(1(1(4(4(2(4(2(3(3(z0)))))))))))), 4'(3(1(1(4(4(2(4(2(3(3(z0))))))))))), 3'(1(1(4(4(2(4(2(3(3(z0)))))))))), 1'(1(4(4(2(4(2(3(3(z0))))))))), 1'(4(4(2(4(2(3(3(z0)))))))), 4'(4(2(4(2(3(3(z0))))))), 4'(2(4(2(3(3(z0)))))), 2'(4(2(3(3(z0))))), 4'(2(3(3(z0)))), 2'(3(3(z0))), 3'(3(z0)), 3'(z0))
   4'(c_2(c_3(c_0(c_2(c_2(c_4(c_0(c_0(c_3(c_1(c_2(c_0(c_4(c_2(c_0(c_2(c_3(c_3(c_0(z0)))))))))))))))))))) -> c108(2'(2(2(2(4(0(3(0(4(1(2(2(1(3(3(2(0(3(1(0(z0)))))))))))))))))))), 2'(2(2(4(0(3(0(4(1(2(2(1(3(3(2(0(3(1(0(z0))))))))))))))))))), 2'(2(4(0(3(0(4(1(2(2(1(3(3(2(0(3(1(0(z0)))))))))))))))))), 2'(4(0(3(0(4(1(2(2(1(3(3(2(0(3(1(0(z0))))))))))))))))), 4'(0(3(0(4(1(2(2(1(3(3(2(0(3(1(0(z0)))))))))))))))), 0'(3(0(4(1(2(2(1(3(3(2(0(3(1(0(z0))))))))))))))), 3'(0(4(1(2(2(1(3(3(2(0(3(1(0(z0)))))))))))))), 0'(4(1(2(2(1(3(3(2(0(3(1(0(z0))))))))))))), 4'(1(2(2(1(3(3(2(0(3(1(0(z0)))))))))))), 1'(2(2(1(3(3(2(0(3(1(0(z0))))))))))), 2'(2(1(3(3(2(0(3(1(0(z0)))))))))), 2'(1(3(3(2(0(3(1(0(z0))))))))), 1'(3(3(2(0(3(1(0(z0)))))))), 3'(3(2(0(3(1(0(z0))))))), 3'(2(0(3(1(0(z0)))))), 2'(0(3(1(0(z0))))), 0'(3(1(0(z0)))), 3'(1(0(z0))), 1'(0(z0)), 0'(z0))
   4'(c_1(c_1(c_1(c_4(c_2(c_4(c_2(c_0(c_2(c_3(c_3(c_1(c_3(c_0(c_2(c_2(c_0(c_0(c_3(z0)))))))))))))))))))) -> c109(0'(4(2(1(2(2(2(0(4(2(3(3(0(2(1(4(0(1(4(2(z0)))))))))))))))))))), 4'(2(1(2(2(2(0(4(2(3(3(0(2(1(4(0(1(4(2(z0))))))))))))))))))), 2'(1(2(2(2(0(4(2(3(3(0(2(1(4(0(1(4(2(z0)))))))))))))))))), 1'(2(2(2(0(4(2(3(3(0(2(1(4(0(1(4(2(z0))))))))))))))))), 2'(2(2(0(4(2(3(3(0(2(1(4(0(1(4(2(z0)))))))))))))))), 2'(2(0(4(2(3(3(0(2(1(4(0(1(4(2(z0))))))))))))))), 2'(0(4(2(3(3(0(2(1(4(0(1(4(2(z0)))))))))))))), 0'(4(2(3(3(0(2(1(4(0(1(4(2(z0))))))))))))), 4'(2(3(3(0(2(1(4(0(1(4(2(z0)))))))))))), 2'(3(3(0(2(1(4(0(1(4(2(z0))))))))))), 3'(3(0(2(1(4(0(1(4(2(z0)))))))))), 3'(0(2(1(4(0(1(4(2(z0))))))))), 0'(2(1(4(0(1(4(2(z0)))))))), 2'(1(4(0(1(4(2(z0))))))), 1'(4(0(1(4(2(z0)))))), 4'(0(1(4(2(z0))))), 0'(1(4(2(z0)))), 1'(4(2(z0))), 4'(2(z0)), 2'(z0))
   4'(c_0(c_2(c_2(c_4(c_3(c_1(c_3(c_4(c_0(c_0(c_0(c_2(c_2(c_2(c_3(c_0(c_4(c_2(c_4(z0)))))))))))))))))))) -> c110(2'(1(3(3(4(4(1(0(3(2(2(3(0(0(4(3(3(4(2(2(z0)))))))))))))))))))), 1'(3(3(4(4(1(0(3(2(2(3(0(0(4(3(3(4(2(2(z0))))))))))))))))))), 3'(3(4(4(1(0(3(2(2(3(0(0(4(3(3(4(2(2(z0)))))))))))))))))), 3'(4(4(1(0(3(2(2(3(0(0(4(3(3(4(2(2(z0))))))))))))))))), 4'(4(1(0(3(2(2(3(0(0(4(3(3(4(2(2(z0)))))))))))))))), 4'(1(0(3(2(2(3(0(0(4(3(3(4(2(2(z0))))))))))))))), 1'(0(3(2(2(3(0(0(4(3(3(4(2(2(z0)))))))))))))), 0'(3(2(2(3(0(0(4(3(3(4(2(2(z0))))))))))))), 3'(2(2(3(0(0(4(3(3(4(2(2(z0)))))))))))), 2'(2(3(0(0(4(3(3(4(2(2(z0))))))))))), 2'(3(0(0(4(3(3(4(2(2(z0)))))))))), 3'(0(0(4(3(3(4(2(2(z0))))))))), 0'(0(4(3(3(4(2(2(z0)))))))), 0'(4(3(3(4(2(2(z0))))))), 4'(3(3(4(2(2(z0)))))), 3'(3(4(2(2(z0))))), 3'(4(2(2(z0)))), 4'(2(2(z0))), 2'(2(z0)), 2'(z0))
   4'(c_3(c_3(c_3(c_0(c_2(c_1(c_2(c_2(c_3(c_2(c_0(c_1(c_1(c_4(c_1(c_3(c_4(c_2(c_4(z0)))))))))))))))))))) -> c111(3'(4(1(3(3(2(1(2(1(1(0(2(2(0(0(1(1(2(3(2(z0)))))))))))))))))))), 4'(1(3(3(2(1(2(1(1(0(2(2(0(0(1(1(2(3(2(z0))))))))))))))))))), 1'(3(3(2(1(2(1(1(0(2(2(0(0(1(1(2(3(2(z0)))))))))))))))))), 3'(3(2(1(2(1(1(0(2(2(0(0(1(1(2(3(2(z0))))))))))))))))), 3'(2(1(2(1(1(0(2(2(0(0(1(1(2(3(2(z0)))))))))))))))), 2'(1(2(1(1(0(2(2(0(0(1(1(2(3(2(z0))))))))))))))), 1'(2(1(1(0(2(2(0(0(1(1(2(3(2(z0)))))))))))))), 2'(1(1(0(2(2(0(0(1(1(2(3(2(z0))))))))))))), 1'(1(0(2(2(0(0(1(1(2(3(2(z0)))))))))))), 1'(0(2(2(0(0(1(1(2(3(2(z0))))))))))), 0'(2(2(0(0(1(1(2(3(2(z0)))))))))), 2'(2(0(0(1(1(2(3(2(z0))))))))), 2'(0(0(1(1(2(3(2(z0)))))))), 0'(0(1(1(2(3(2(z0))))))), 0'(1(1(2(3(2(z0)))))), 1'(1(2(3(2(z0))))), 1'(2(3(2(z0)))), 2'(3(2(z0))), 3'(2(z0)), 2'(z0))
   4'(c_4(c_4(c_1(c_3(c_3(c_4(c_4(c_2(c_2(c_0(c_1(c_0(c_2(c_4(c_3(c_2(c_2(c_0(c_2(z0)))))))))))))))))))) -> c112(4'(3(2(3(2(2(0(0(1(3(4(2(2(2(4(4(1(2(0(2(z0)))))))))))))))))))), 3'(2(3(2(2(0(0(1(3(4(2(2(2(4(4(1(2(0(2(z0))))))))))))))))))), 2'(3(2(2(0(0(1(3(4(2(2(2(4(4(1(2(0(2(z0)))))))))))))))))), 3'(2(2(0(0(1(3(4(2(2(2(4(4(1(2(0(2(z0))))))))))))))))), 2'(2(0(0(1(3(4(2(2(2(4(4(1(2(0(2(z0)))))))))))))))), 2'(0(0(1(3(4(2(2(2(4(4(1(2(0(2(z0))))))))))))))), 0'(0(1(3(4(2(2(2(4(4(1(2(0(2(z0)))))))))))))), 0'(1(3(4(2(2(2(4(4(1(2(0(2(z0))))))))))))), 1'(3(4(2(2(2(4(4(1(2(0(2(z0)))))))))))), 3'(4(2(2(2(4(4(1(2(0(2(z0))))))))))), 4'(2(2(2(4(4(1(2(0(2(z0)))))))))), 2'(2(2(4(4(1(2(0(2(z0))))))))), 2'(2(4(4(1(2(0(2(z0)))))))), 2'(4(4(1(2(0(2(z0))))))), 4'(4(1(2(0(2(z0)))))), 4'(1(2(0(2(z0))))), 1'(2(0(2(z0)))), 2'(0(2(z0))), 0'(2(z0)), 2'(z0))
   4'(c_0(c_4(c_2(c_2(c_3(c_3(c_2(c_2(c_1(c_2(c_1(c_0(c_1(c_0(c_3(c_2(c_1(c_2(c_0(z0)))))))))))))))))))) -> c113(1'(1(2(2(0(0(4(4(2(3(3(3(2(2(2(0(3(0(0(2(z0)))))))))))))))))))), 1'(2(2(0(0(4(4(2(3(3(3(2(2(2(0(3(0(0(2(z0))))))))))))))))))), 2'(2(0(0(4(4(2(3(3(3(2(2(2(0(3(0(0(2(z0)))))))))))))))))), 2'(0(0(4(4(2(3(3(3(2(2(2(0(3(0(0(2(z0))))))))))))))))), 0'(0(4(4(2(3(3(3(2(2(2(0(3(0(0(2(z0)))))))))))))))), 0'(4(4(2(3(3(3(2(2(2(0(3(0(0(2(z0))))))))))))))), 4'(4(2(3(3(3(2(2(2(0(3(0(0(2(z0)))))))))))))), 4'(2(3(3(3(2(2(2(0(3(0(0(2(z0))))))))))))), 2'(3(3(3(2(2(2(0(3(0(0(2(z0)))))))))))), 3'(3(3(2(2(2(0(3(0(0(2(z0))))))))))), 3'(3(2(2(2(0(3(0(0(2(z0)))))))))), 3'(2(2(2(0(3(0(0(2(z0))))))))), 2'(2(2(0(3(0(0(2(z0)))))))), 2'(2(0(3(0(0(2(z0))))))), 2'(0(3(0(0(2(z0)))))), 0'(3(0(0(2(z0))))), 3'(0(0(2(z0)))), 0'(0(2(z0))), 0'(2(z0)), 2'(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_1(c_4(c_2(c_2(c_0(c_3(c_2(c_0(c_4(c_1(c_3(c_2(c_0(c_0(c_3(c_2(c_3(c_0(c_2(z0)))))))))))))))))))) -> c11(2'(4(2(1(2(2(3(0(2(0(1(2(2(0(1(2(0(0(4(2(z0)))))))))))))))))))), 4'(2(1(2(2(3(0(2(0(1(2(2(0(1(2(0(0(4(2(z0))))))))))))))))))), 2'(1(2(2(3(0(2(0(1(2(2(0(1(2(0(0(4(2(z0)))))))))))))))))), 1'(2(2(3(0(2(0(1(2(2(0(1(2(0(0(4(2(z0))))))))))))))))), 2'(2(3(0(2(0(1(2(2(0(1(2(0(0(4(2(z0)))))))))))))))), 2'(3(0(2(0(1(2(2(0(1(2(0(0(4(2(z0))))))))))))))), 3'(0(2(0(1(2(2(0(1(2(0(0(4(2(z0)))))))))))))), 0'(2(0(1(2(2(0(1(2(0(0(4(2(z0))))))))))))), 2'(0(1(2(2(0(1(2(0(0(4(2(z0)))))))))))), 0'(1(2(2(0(1(2(0(0(4(2(z0))))))))))), 1'(2(2(0(1(2(0(0(4(2(z0)))))))))), 2'(2(0(1(2(0(0(4(2(z0))))))))), 2'(0(1(2(0(0(4(2(z0)))))))), 0'(1(2(0(0(4(2(z0))))))), 1'(2(0(0(4(2(z0)))))), 2'(0(0(4(2(z0))))), 0'(0(4(2(z0)))), 0'(4(2(z0))), 4'(2(z0)), 2'(z0))
   0'(c_0(c_2(c_1(c_0(c_3(c_1(c_3(c_1(c_3(c_3(c_3(c_2(c_4(c_0(c_0(c_1(c_2(c_0(c_4(z0)))))))))))))))))))) -> c12(4'(4(1(4(4(3(2(1(1(0(2(2(1(2(1(0(3(4(2(2(z0)))))))))))))))))))), 4'(1(4(4(3(2(1(1(0(2(2(1(2(1(0(3(4(2(2(z0))))))))))))))))))), 1'(4(4(3(2(1(1(0(2(2(1(2(1(0(3(4(2(2(z0)))))))))))))))))), 4'(4(3(2(1(1(0(2(2(1(2(1(0(3(4(2(2(z0))))))))))))))))), 4'(3(2(1(1(0(2(2(1(2(1(0(3(4(2(2(z0)))))))))))))))), 3'(2(1(1(0(2(2(1(2(1(0(3(4(2(2(z0))))))))))))))), 2'(1(1(0(2(2(1(2(1(0(3(4(2(2(z0)))))))))))))), 1'(1(0(2(2(1(2(1(0(3(4(2(2(z0))))))))))))), 1'(0(2(2(1(2(1(0(3(4(2(2(z0)))))))))))), 0'(2(2(1(2(1(0(3(4(2(2(z0))))))))))), 2'(2(1(2(1(0(3(4(2(2(z0)))))))))), 2'(1(2(1(0(3(4(2(2(z0))))))))), 1'(2(1(0(3(4(2(2(z0)))))))), 2'(1(0(3(4(2(2(z0))))))), 1'(0(3(4(2(2(z0)))))), 0'(3(4(2(2(z0))))), 3'(4(2(2(z0)))), 4'(2(2(z0))), 2'(2(z0)), 2'(z0))
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   4'(c_4(c_0(c_3(c_0(c_4(c_2(c_4(c_2(c_3(c_0(c_2(c_2(c_0(c_4(c_3(c_3(c_4(c_2(c_2(z0)))))))))))))))))))) -> c105(2'(3(3(1(0(2(2(3(1(4(0(0(1(2(2(0(4(4(2(2(z0)))))))))))))))))))), 3'(3(1(0(2(2(3(1(4(0(0(1(2(2(0(4(4(2(2(z0))))))))))))))))))), 3'(1(0(2(2(3(1(4(0(0(1(2(2(0(4(4(2(2(z0)))))))))))))))))), 1'(0(2(2(3(1(4(0(0(1(2(2(0(4(4(2(2(z0))))))))))))))))), 0'(2(2(3(1(4(0(0(1(2(2(0(4(4(2(2(z0)))))))))))))))), 2'(2(3(1(4(0(0(1(2(2(0(4(4(2(2(z0))))))))))))))), 2'(3(1(4(0(0(1(2(2(0(4(4(2(2(z0)))))))))))))), 3'(1(4(0(0(1(2(2(0(4(4(2(2(z0))))))))))))), 1'(4(0(0(1(2(2(0(4(4(2(2(z0)))))))))))), 4'(0(0(1(2(2(0(4(4(2(2(z0))))))))))), 0'(0(1(2(2(0(4(4(2(2(z0)))))))))), 0'(1(2(2(0(4(4(2(2(z0))))))))), 1'(2(2(0(4(4(2(2(z0)))))))), 2'(2(0(4(4(2(2(z0))))))), 2'(0(4(4(2(2(z0)))))), 0'(4(4(2(2(z0))))), 4'(4(2(2(z0)))), 4'(2(2(z0))), 2'(2(z0)), 2'(z0))
   4'(c_0(c_0(c_0(c_0(c_4(c_2(c_1(c_1(c_1(c_1(c_3(c_2(c_4(c_0(c_0(c_3(c_2(c_4(c_1(z0)))))))))))))))))))) -> c106(2'(1(2(2(0(2(4(3(1(0(4(1(4(0(3(4(1(3(4(4(z0)))))))))))))))))))), 1'(2(2(0(2(4(3(1(0(4(1(4(0(3(4(1(3(4(4(z0))))))))))))))))))), 2'(2(0(2(4(3(1(0(4(1(4(0(3(4(1(3(4(4(z0)))))))))))))))))), 2'(0(2(4(3(1(0(4(1(4(0(3(4(1(3(4(4(z0))))))))))))))))), 0'(2(4(3(1(0(4(1(4(0(3(4(1(3(4(4(z0)))))))))))))))), 2'(4(3(1(0(4(1(4(0(3(4(1(3(4(4(z0))))))))))))))), 4'(3(1(0(4(1(4(0(3(4(1(3(4(4(z0)))))))))))))), 3'(1(0(4(1(4(0(3(4(1(3(4(4(z0))))))))))))), 1'(0(4(1(4(0(3(4(1(3(4(4(z0)))))))))))), 0'(4(1(4(0(3(4(1(3(4(4(z0))))))))))), 4'(1(4(0(3(4(1(3(4(4(z0)))))))))), 1'(4(0(3(4(1(3(4(4(z0))))))))), 4'(0(3(4(1(3(4(4(z0)))))))), 0'(3(4(1(3(4(4(z0))))))), 3'(4(1(3(4(4(z0)))))), 4'(1(3(4(4(z0))))), 1'(3(4(4(z0)))), 3'(4(4(z0))), 4'(4(z0)), 4'(z0))
   4'(c_4(c_2(c_2(c_0(c_0(c_3(c_0(c_3(c_1(c_2(c_3(c_3(c_1(c_2(c_2(c_2(c_4(c_4(c_4(z0)))))))))))))))))))) -> c107(4'(2(3(0(2(2(0(2(2(4(3(1(1(4(4(2(4(2(3(3(z0)))))))))))))))))))), 2'(3(0(2(2(0(2(2(4(3(1(1(4(4(2(4(2(3(3(z0))))))))))))))))))), 3'(0(2(2(0(2(2(4(3(1(1(4(4(2(4(2(3(3(z0)))))))))))))))))), 0'(2(2(0(2(2(4(3(1(1(4(4(2(4(2(3(3(z0))))))))))))))))), 2'(2(0(2(2(4(3(1(1(4(4(2(4(2(3(3(z0)))))))))))))))), 2'(0(2(2(4(3(1(1(4(4(2(4(2(3(3(z0))))))))))))))), 0'(2(2(4(3(1(1(4(4(2(4(2(3(3(z0)))))))))))))), 2'(2(4(3(1(1(4(4(2(4(2(3(3(z0))))))))))))), 2'(4(3(1(1(4(4(2(4(2(3(3(z0)))))))))))), 4'(3(1(1(4(4(2(4(2(3(3(z0))))))))))), 3'(1(1(4(4(2(4(2(3(3(z0)))))))))), 1'(1(4(4(2(4(2(3(3(z0))))))))), 1'(4(4(2(4(2(3(3(z0)))))))), 4'(4(2(4(2(3(3(z0))))))), 4'(2(4(2(3(3(z0)))))), 2'(4(2(3(3(z0))))), 4'(2(3(3(z0)))), 2'(3(3(z0))), 3'(3(z0)), 3'(z0))
   4'(c_2(c_3(c_0(c_2(c_2(c_4(c_0(c_0(c_3(c_1(c_2(c_0(c_4(c_2(c_0(c_2(c_3(c_3(c_0(z0)))))))))))))))))))) -> c108(2'(2(2(2(4(0(3(0(4(1(2(2(1(3(3(2(0(3(1(0(z0)))))))))))))))))))), 2'(2(2(4(0(3(0(4(1(2(2(1(3(3(2(0(3(1(0(z0))))))))))))))))))), 2'(2(4(0(3(0(4(1(2(2(1(3(3(2(0(3(1(0(z0)))))))))))))))))), 2'(4(0(3(0(4(1(2(2(1(3(3(2(0(3(1(0(z0))))))))))))))))), 4'(0(3(0(4(1(2(2(1(3(3(2(0(3(1(0(z0)))))))))))))))), 0'(3(0(4(1(2(2(1(3(3(2(0(3(1(0(z0))))))))))))))), 3'(0(4(1(2(2(1(3(3(2(0(3(1(0(z0)))))))))))))), 0'(4(1(2(2(1(3(3(2(0(3(1(0(z0))))))))))))), 4'(1(2(2(1(3(3(2(0(3(1(0(z0)))))))))))), 1'(2(2(1(3(3(2(0(3(1(0(z0))))))))))), 2'(2(1(3(3(2(0(3(1(0(z0)))))))))), 2'(1(3(3(2(0(3(1(0(z0))))))))), 1'(3(3(2(0(3(1(0(z0)))))))), 3'(3(2(0(3(1(0(z0))))))), 3'(2(0(3(1(0(z0)))))), 2'(0(3(1(0(z0))))), 0'(3(1(0(z0)))), 3'(1(0(z0))), 1'(0(z0)), 0'(z0))
   4'(c_1(c_1(c_1(c_4(c_2(c_4(c_2(c_0(c_2(c_3(c_3(c_1(c_3(c_0(c_2(c_2(c_0(c_0(c_3(z0)))))))))))))))))))) -> c109(0'(4(2(1(2(2(2(0(4(2(3(3(0(2(1(4(0(1(4(2(z0)))))))))))))))))))), 4'(2(1(2(2(2(0(4(2(3(3(0(2(1(4(0(1(4(2(z0))))))))))))))))))), 2'(1(2(2(2(0(4(2(3(3(0(2(1(4(0(1(4(2(z0)))))))))))))))))), 1'(2(2(2(0(4(2(3(3(0(2(1(4(0(1(4(2(z0))))))))))))))))), 2'(2(2(0(4(2(3(3(0(2(1(4(0(1(4(2(z0)))))))))))))))), 2'(2(0(4(2(3(3(0(2(1(4(0(1(4(2(z0))))))))))))))), 2'(0(4(2(3(3(0(2(1(4(0(1(4(2(z0)))))))))))))), 0'(4(2(3(3(0(2(1(4(0(1(4(2(z0))))))))))))), 4'(2(3(3(0(2(1(4(0(1(4(2(z0)))))))))))), 2'(3(3(0(2(1(4(0(1(4(2(z0))))))))))), 3'(3(0(2(1(4(0(1(4(2(z0)))))))))), 3'(0(2(1(4(0(1(4(2(z0))))))))), 0'(2(1(4(0(1(4(2(z0)))))))), 2'(1(4(0(1(4(2(z0))))))), 1'(4(0(1(4(2(z0)))))), 4'(0(1(4(2(z0))))), 0'(1(4(2(z0)))), 1'(4(2(z0))), 4'(2(z0)), 2'(z0))
   4'(c_0(c_2(c_2(c_4(c_3(c_1(c_3(c_4(c_0(c_0(c_0(c_2(c_2(c_2(c_3(c_0(c_4(c_2(c_4(z0)))))))))))))))))))) -> c110(2'(1(3(3(4(4(1(0(3(2(2(3(0(0(4(3(3(4(2(2(z0)))))))))))))))))))), 1'(3(3(4(4(1(0(3(2(2(3(0(0(4(3(3(4(2(2(z0))))))))))))))))))), 3'(3(4(4(1(0(3(2(2(3(0(0(4(3(3(4(2(2(z0)))))))))))))))))), 3'(4(4(1(0(3(2(2(3(0(0(4(3(3(4(2(2(z0))))))))))))))))), 4'(4(1(0(3(2(2(3(0(0(4(3(3(4(2(2(z0)))))))))))))))), 4'(1(0(3(2(2(3(0(0(4(3(3(4(2(2(z0))))))))))))))), 1'(0(3(2(2(3(0(0(4(3(3(4(2(2(z0)))))))))))))), 0'(3(2(2(3(0(0(4(3(3(4(2(2(z0))))))))))))), 3'(2(2(3(0(0(4(3(3(4(2(2(z0)))))))))))), 2'(2(3(0(0(4(3(3(4(2(2(z0))))))))))), 2'(3(0(0(4(3(3(4(2(2(z0)))))))))), 3'(0(0(4(3(3(4(2(2(z0))))))))), 0'(0(4(3(3(4(2(2(z0)))))))), 0'(4(3(3(4(2(2(z0))))))), 4'(3(3(4(2(2(z0)))))), 3'(3(4(2(2(z0))))), 3'(4(2(2(z0)))), 4'(2(2(z0))), 2'(2(z0)), 2'(z0))
   4'(c_3(c_3(c_3(c_0(c_2(c_1(c_2(c_2(c_3(c_2(c_0(c_1(c_1(c_4(c_1(c_3(c_4(c_2(c_4(z0)))))))))))))))))))) -> c111(3'(4(1(3(3(2(1(2(1(1(0(2(2(0(0(1(1(2(3(2(z0)))))))))))))))))))), 4'(1(3(3(2(1(2(1(1(0(2(2(0(0(1(1(2(3(2(z0))))))))))))))))))), 1'(3(3(2(1(2(1(1(0(2(2(0(0(1(1(2(3(2(z0)))))))))))))))))), 3'(3(2(1(2(1(1(0(2(2(0(0(1(1(2(3(2(z0))))))))))))))))), 3'(2(1(2(1(1(0(2(2(0(0(1(1(2(3(2(z0)))))))))))))))), 2'(1(2(1(1(0(2(2(0(0(1(1(2(3(2(z0))))))))))))))), 1'(2(1(1(0(2(2(0(0(1(1(2(3(2(z0)))))))))))))), 2'(1(1(0(2(2(0(0(1(1(2(3(2(z0))))))))))))), 1'(1(0(2(2(0(0(1(1(2(3(2(z0)))))))))))), 1'(0(2(2(0(0(1(1(2(3(2(z0))))))))))), 0'(2(2(0(0(1(1(2(3(2(z0)))))))))), 2'(2(0(0(1(1(2(3(2(z0))))))))), 2'(0(0(1(1(2(3(2(z0)))))))), 0'(0(1(1(2(3(2(z0))))))), 0'(1(1(2(3(2(z0)))))), 1'(1(2(3(2(z0))))), 1'(2(3(2(z0)))), 2'(3(2(z0))), 3'(2(z0)), 2'(z0))
   4'(c_4(c_4(c_1(c_3(c_3(c_4(c_4(c_2(c_2(c_0(c_1(c_0(c_2(c_4(c_3(c_2(c_2(c_0(c_2(z0)))))))))))))))))))) -> c112(4'(3(2(3(2(2(0(0(1(3(4(2(2(2(4(4(1(2(0(2(z0)))))))))))))))))))), 3'(2(3(2(2(0(0(1(3(4(2(2(2(4(4(1(2(0(2(z0))))))))))))))))))), 2'(3(2(2(0(0(1(3(4(2(2(2(4(4(1(2(0(2(z0)))))))))))))))))), 3'(2(2(0(0(1(3(4(2(2(2(4(4(1(2(0(2(z0))))))))))))))))), 2'(2(0(0(1(3(4(2(2(2(4(4(1(2(0(2(z0)))))))))))))))), 2'(0(0(1(3(4(2(2(2(4(4(1(2(0(2(z0))))))))))))))), 0'(0(1(3(4(2(2(2(4(4(1(2(0(2(z0)))))))))))))), 0'(1(3(4(2(2(2(4(4(1(2(0(2(z0))))))))))))), 1'(3(4(2(2(2(4(4(1(2(0(2(z0)))))))))))), 3'(4(2(2(2(4(4(1(2(0(2(z0))))))))))), 4'(2(2(2(4(4(1(2(0(2(z0)))))))))), 2'(2(2(4(4(1(2(0(2(z0))))))))), 2'(2(4(4(1(2(0(2(z0)))))))), 2'(4(4(1(2(0(2(z0))))))), 4'(4(1(2(0(2(z0)))))), 4'(1(2(0(2(z0))))), 1'(2(0(2(z0)))), 2'(0(2(z0))), 0'(2(z0)), 2'(z0))
   4'(c_0(c_4(c_2(c_2(c_3(c_3(c_2(c_2(c_1(c_2(c_1(c_0(c_1(c_0(c_3(c_2(c_1(c_2(c_0(z0)))))))))))))))))))) -> c113(1'(1(2(2(0(0(4(4(2(3(3(3(2(2(2(0(3(0(0(2(z0)))))))))))))))))))), 1'(2(2(0(0(4(4(2(3(3(3(2(2(2(0(3(0(0(2(z0))))))))))))))))))), 2'(2(0(0(4(4(2(3(3(3(2(2(2(0(3(0(0(2(z0)))))))))))))))))), 2'(0(0(4(4(2(3(3(3(2(2(2(0(3(0(0(2(z0))))))))))))))))), 0'(0(4(4(2(3(3(3(2(2(2(0(3(0(0(2(z0)))))))))))))))), 0'(4(4(2(3(3(3(2(2(2(0(3(0(0(2(z0))))))))))))))), 4'(4(2(3(3(3(2(2(2(0(3(0(0(2(z0)))))))))))))), 4'(2(3(3(3(2(2(2(0(3(0(0(2(z0))))))))))))), 2'(3(3(3(2(2(2(0(3(0(0(2(z0)))))))))))), 3'(3(3(2(2(2(0(3(0(0(2(z0))))))))))), 3'(3(2(2(2(0(3(0(0(2(z0)))))))))), 3'(2(2(2(0(3(0(0(2(z0))))))))), 2'(2(2(0(3(0(0(2(z0)))))))), 2'(2(0(3(0(0(2(z0))))))), 2'(0(3(0(0(2(z0)))))), 0'(3(0(0(2(z0))))), 3'(0(0(2(z0)))), 0'(0(2(z0))), 0'(2(z0)), 2'(z0))
K tuples:none
Defined Rule Symbols:   2_1, 3_1, 0_1, 1_1, 4_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, c29_20, c30_20, c31_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, c64_20, c65_20, c66_20, c67_20, c68_20, c69_20, c70_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_20, c90_20, c91_20, c92_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_1(c_4(c_2(c_2(c_0(c_3(c_2(c_0(c_4(c_1(c_3(c_2(c_0(c_0(c_3(c_2(c_3(c_0(c_2(z0)))))))))))))))))))) -> 2(4(2(1(2(2(3(0(2(0(1(2(2(0(1(2(0(0(4(2(z0))))))))))))))))))))
   0(c_0(c_2(c_1(c_0(c_3(c_1(c_3(c_1(c_3(c_3(c_3(c_2(c_4(c_0(c_0(c_1(c_2(c_0(c_4(z0)))))))))))))))))))) -> 4(4(1(4(4(3(2(1(1(0(2(2(1(2(1(0(3(4(2(2(z0))))))))))))))))))))
   0(c_3(c_2(c_0(c_4(c_2(c_0(c_1(c_1(c_3(c_2(c_3(c_4(c_4(c_1(c_2(c_4(c_2(c_4(c_2(z0)))))))))))))))))))) -> 2(2(4(3(4(2(3(4(1(2(1(0(0(2(0(4(1(4(2(2(z0))))))))))))))))))))
   0(c_1(c_4(c_3(c_2(c_3(c_0(c_1(c_2(c_4(c_0(c_3(c_4(c_2(c_0(c_0(c_3(c_2(c_4(c_2(z0)))))))))))))))))))) -> 2(1(3(0(0(1(4(3(1(3(2(2(2(1(3(0(2(0(0(2(z0))))))))))))))))))))
   0(c_3(c_3(c_2(c_4(c_1(c_0(c_0(c_1(c_2(c_0(c_4(c_3(c_3(c_4(c_4(c_4(c_3(c_1(c_2(z0)))))))))))))))))))) -> 4(1(2(2(2(2(4(4(2(0(3(2(1(0(4(4(1(4(2(0(z0))))))))))))))))))))
   0(c_4(c_4(c_2(c_3(c_2(c_1(c_2(c_2(c_1(c_4(c_1(c_1(c_1(c_4(c_2(c_2(c_1(c_2(c_0(z0)))))))))))))))))))) -> 3(0(0(1(4(1(2(3(3(4(2(1(1(3(2(2(1(3(2(4(z0))))))))))))))))))))
   0(c_0(c_0(c_2(c_1(c_1(c_2(c_2(c_1(c_3(c_0(c_0(c_4(c_3(c_4(c_3(c_4(c_1(c_2(c_1(z0)))))))))))))))))))) -> 0(0(0(1(2(2(2(0(4(1(4(1(2(4(3(3(1(0(3(3(z0))))))))))))))))))))
   0(c_0(c_2(c_3(c_1(c_4(c_2(c_1(c_4(c_2(c_0(c_1(c_4(c_2(c_2(c_1(c_1(c_2(c_4(c_4(z0)))))))))))))))))))) -> 1(1(2(3(3(4(4(4(2(3(2(2(1(2(0(1(2(0(4(4(z0))))))))))))))))))))
   0(c_2(c_3(c_0(c_4(c_2(c_3(c_1(c_3(c_4(c_0(c_3(c_4(c_2(c_1(c_3(c_2(c_3(c_4(c_0(z0)))))))))))))))))))) -> 4(1(2(0(3(0(1(2(3(0(2(1(3(2(0(3(0(2(4(0(z0))))))))))))))))))))
   0(c_2(c_1(c_1(c_2(c_1(c_4(c_1(c_2(c_2(c_4(c_0(c_0(c_3(c_3(c_3(c_2(c_2(c_1(c_0(z0)))))))))))))))))))) -> 4(3(3(0(2(3(4(2(4(1(2(1(4(3(4(3(3(2(2(3(z0))))))))))))))))))))
   0(c_2(c_1(c_3(c_0(c_0(c_4(c_4(c_4(c_0(c_0(c_3(c_2(c_1(c_2(c_4(c_0(c_1(c_2(c_2(z0)))))))))))))))))))) -> 0(4(0(0(2(3(0(4(1(2(3(0(3(0(1(4(2(2(3(3(z0))))))))))))))))))))
   0(c_0(c_0(c_0(c_1(c_2(c_2(c_3(c_3(c_2(c_0(c_0(c_0(c_4(c_2(c_0(c_1(c_2(c_4(c_2(z0)))))))))))))))))))) -> 1(1(1(3(0(3(0(2(3(2(2(4(1(2(3(4(1(2(2(4(z0))))))))))))))))))))
   0(c_4(c_2(c_2(c_0(c_2(c_3(c_3(c_4(c_1(c_3(c_2(c_4(c_0(c_2(c_1(c_1(c_4(c_3(c_2(z0)))))))))))))))))))) -> 2(4(3(3(0(3(1(2(3(3(4(2(0(0(4(2(0(1(2(2(z0))))))))))))))))))))
   0(c_2(c_4(c_2(c_1(c_2(c_3(c_0(c_1(c_2(c_0(c_3(c_0(c_4(c_1(c_0(c_2(c_0(c_2(c_0(z0)))))))))))))))))))) -> 3(2(3(1(0(1(2(0(2(2(3(2(0(4(4(2(0(4(4(2(z0))))))))))))))))))))
   0(c_1(c_2(c_0(c_1(c_4(c_4(c_0(c_3(c_0(c_2(c_3(c_0(c_0(c_3(c_3(c_0(c_2(c_3(c_2(z0)))))))))))))))))))) -> 1(3(3(2(4(2(1(2(1(2(0(2(0(3(2(2(4(0(3(3(z0))))))))))))))))))))
   0(c_2(c_2(c_1(c_2(c_0(c_3(c_1(c_2(c_2(c_4(c_1(c_2(c_0(c_2(c_4(c_0(c_1(c_0(c_3(z0)))))))))))))))))))) -> 2(4(3(0(3(0(2(3(0(4(2(2(2(3(3(2(4(3(1(1(z0))))))))))))))))))))
   0(c_4(c_2(c_0(c_0(c_3(c_2(c_1(c_0(c_1(c_3(c_1(c_2(c_4(c_4(c_0(c_2(c_3(c_2(c_2(z0)))))))))))))))))))) -> 2(1(2(2(3(3(2(0(4(4(3(3(1(0(0(3(4(2(2(4(z0))))))))))))))))))))
   1(z0) -> c_1(z0)
   1(c_3(c_3(c_4(c_4(c_2(c_3(c_1(c_3(c_3(c_0(c_3(c_4(c_2(c_2(c_4(c_2(c_2(c_4(c_4(z0)))))))))))))))))))) -> 0(4(2(4(3(3(2(1(4(2(4(4(3(2(2(3(1(2(2(0(z0))))))))))))))))))))
   1(c_0(c_0(c_1(c_2(c_3(c_4(c_2(c_0(c_4(c_4(c_2(c_2(c_4(c_1(c_2(c_2(c_2(c_4(c_4(z0)))))))))))))))))))) -> 2(4(3(0(2(0(3(1(2(1(1(2(2(3(0(2(4(3(1(3(z0))))))))))))))))))))
   1(c_0(c_0(c_3(c_1(c_4(c_2(c_1(c_2(c_2(c_2(c_2(c_2(c_3(c_0(c_1(c_4(c_2(c_0(c_4(z0)))))))))))))))))))) -> 2(4(4(0(3(3(0(3(3(3(2(4(2(2(0(0(0(0(3(3(z0))))))))))))))))))))
   1(c_1(c_1(c_1(c_2(c_4(c_4(c_3(c_0(c_2(c_3(c_3(c_1(c_3(c_0(c_1(c_4(c_2(c_2(c_3(z0)))))))))))))))))))) -> 3(4(2(1(1(0(1(2(1(4(4(2(3(3(4(2(1(2(3(2(z0))))))))))))))))))))
   1(c_0(c_0(c_4(c_0(c_0(c_2(c_3(c_2(c_2(c_3(c_3(c_1(c_3(c_4(c_3(c_2(c_2(c_1(c_1(z0)))))))))))))))))))) -> 1(2(2(2(0(0(2(2(3(0(4(4(2(1(4(2(2(2(4(1(z0))))))))))))))))))))
   1(c_1(c_2(c_0(c_4(c_1(c_3(c_1(c_2(c_2(c_0(c_4(c_0(c_2(c_3(c_4(c_4(c_0(c_2(c_3(z0)))))))))))))))))))) -> 1(0(2(2(4(0(3(1(0(0(3(0(2(1(1(2(2(3(1(0(z0))))))))))))))))))))
   1(c_3(c_2(c_3(c_1(c_0(c_3(c_3(c_0(c_1(c_2(c_0(c_2(c_2(c_2(c_0(c_1(c_3(c_1(c_0(z0)))))))))))))))))))) -> 3(3(4(3(1(2(2(4(4(0(2(2(2(2(0(0(2(0(1(4(z0))))))))))))))))))))
   1(c_1(c_2(c_1(c_3(c_4(c_0(c_2(c_2(c_3(c_3(c_3(c_3(c_0(c_1(c_0(c_4(c_3(c_0(c_2(z0)))))))))))))))))))) -> 3(2(1(4(2(2(3(4(2(3(1(4(2(3(0(3(3(4(0(3(z0))))))))))))))))))))
   1(c_1(c_3(c_3(c_1(c_1(c_3(c_2(c_3(c_2(c_0(c_4(c_2(c_0(c_2(c_1(c_1(c_0(c_4(c_1(z0)))))))))))))))))))) -> 2(3(4(2(0(0(0(0(3(1(2(2(4(1(2(3(1(0(4(4(z0))))))))))))))))))))
   1(c_3(c_1(c_4(c_0(c_1(c_4(c_3(c_0(c_4(c_2(c_1(c_0(c_0(c_1(c_2(c_3(c_2(c_2(c_3(z0)))))))))))))))))))) -> 0(4(0(3(0(3(0(3(2(0(1(0(0(2(1(3(2(1(2(0(z0))))))))))))))))))))
   1(c_0(c_2(c_1(c_1(c_1(c_2(c_0(c_0(c_2(c_1(c_3(c_3(c_3(c_1(c_4(c_1(c_0(c_0(c_1(z0)))))))))))))))))))) -> 2(2(1(0(1(4(3(2(3(0(0(0(4(3(2(1(1(2(0(2(z0))))))))))))))))))))
   1(c_0(c_4(c_0(c_1(c_3(c_0(c_2(c_3(c_2(c_1(c_2(c_3(c_2(c_4(c_2(c_4(c_3(c_4(c_2(z0)))))))))))))))))))) -> 2(3(0(2(0(2(2(2(3(4(1(0(2(3(1(2(1(2(4(2(z0))))))))))))))))))))
   1(c_4(c_4(c_2(c_3(c_1(c_2(c_3(c_3(c_1(c_0(c_1(c_3(c_2(c_1(c_2(c_1(c_2(c_2(c_2(z0)))))))))))))))))))) -> 2(0(2(0(2(0(2(0(4(2(4(2(3(2(3(1(2(2(2(1(z0))))))))))))))))))))
   1(c_1(c_0(c_0(c_1(c_3(c_2(c_4(c_3(c_1(c_4(c_0(c_4(c_1(c_2(c_2(c_2(c_3(c_3(c_2(z0)))))))))))))))))))) -> 3(1(4(3(1(0(3(4(0(3(2(2(4(0(2(3(3(2(2(0(z0))))))))))))))))))))
   2(z0) -> c_2(z0)
   2(c_1(c_3(c_4(c_1(c_0(c_3(c_2(c_0(c_3(c_0(c_1(c_1(c_4(c_0(c_0(c_2(c_4(c_4(c_1(z0)))))))))))))))))))) -> 3(0(3(2(1(4(1(4(0(0(2(2(0(1(1(0(4(1(2(1(z0))))))))))))))))))))
   2(c_1(c_4(c_4(c_0(c_1(c_2(c_0(c_2(c_3(c_0(c_2(c_1(c_2(c_3(c_0(c_2(c_3(c_1(c_3(z0)))))))))))))))))))) -> 0(3(2(3(2(3(0(2(2(0(2(3(1(3(3(3(1(2(4(2(z0))))))))))))))))))))
   2(c_3(c_4(c_4(c_4(c_3(c_0(c_0(c_2(c_3(c_4(c_3(c_0(c_4(c_3(c_0(c_1(c_2(c_4(c_2(z0)))))))))))))))))))) -> 3(3(2(0(4(0(2(4(2(3(2(2(4(4(0(4(0(3(4(1(z0))))))))))))))))))))
   2(c_0(c_3(c_2(c_0(c_3(c_2(c_4(c_1(c_2(c_3(c_1(c_4(c_1(c_3(c_3(c_3(c_0(c_1(c_3(z0)))))))))))))))))))) -> 3(0(3(2(1(1(1(3(4(0(3(2(0(2(2(3(2(0(3(2(z0))))))))))))))))))))
   2(c_4(c_2(c_2(c_1(c_2(c_4(c_2(c_3(c_0(c_1(c_0(c_2(c_1(c_2(c_0(c_0(c_0(c_4(c_0(z0)))))))))))))))))))) -> 2(3(0(2(0(3(0(2(1(0(4(2(2(1(3(1(3(0(4(3(z0))))))))))))))))))))
   2(c_3(c_1(c_2(c_3(c_3(c_3(c_1(c_1(c_1(c_0(c_1(c_2(c_4(c_0(c_4(c_2(c_1(c_2(c_2(z0)))))))))))))))))))) -> 2(2(0(1(4(3(2(2(4(3(0(2(4(3(2(0(0(1(0(2(z0))))))))))))))))))))
   2(c_4(c_0(c_3(c_1(c_2(c_1(c_1(c_2(c_0(c_2(c_2(c_0(c_3(c_2(c_1(c_1(c_0(c_1(c_3(z0)))))))))))))))))))) -> 2(3(3(1(3(1(2(1(1(0(2(0(0(2(3(3(0(3(3(3(z0))))))))))))))))))))
   2(c_4(c_3(c_2(c_0(c_2(c_4(c_1(c_2(c_0(c_4(c_1(c_2(c_3(c_1(c_2(c_3(c_4(c_1(c_1(z0)))))))))))))))))))) -> 2(0(1(1(2(2(4(3(2(2(1(3(0(1(2(3(0(4(4(4(z0))))))))))))))))))))
   2(c_0(c_0(c_0(c_2(c_2(c_3(c_1(c_3(c_1(c_0(c_4(c_3(c_3(c_0(c_2(c_4(c_1(c_0(c_3(z0)))))))))))))))))))) -> 4(0(3(4(3(4(0(0(2(2(2(1(2(2(2(1(1(2(0(4(z0))))))))))))))))))))
   2(c_4(c_3(c_2(c_2(c_4(c_0(c_3(c_2(c_4(c_3(c_1(c_0(c_4(c_4(c_3(c_3(c_2(c_2(c_1(z0)))))))))))))))))))) -> 3(4(3(0(2(2(2(4(3(2(0(3(0(3(2(0(3(0(4(2(z0))))))))))))))))))))
   2(c_3(c_0(c_1(c_3(c_3(c_4(c_2(c_1(c_4(c_4(c_2(c_3(c_1(c_1(c_1(c_2(c_3(c_0(c_2(z0)))))))))))))))))))) -> 2(2(3(0(4(4(0(0(1(3(3(0(4(3(4(2(2(4(3(2(z0))))))))))))))))))))
   2(c_4(c_0(c_0(c_3(c_2(c_2(c_2(c_1(c_1(c_4(c_0(c_1(c_2(c_2(c_3(c_4(c_2(c_3(c_4(z0)))))))))))))))))))) -> 3(1(3(2(2(4(0(3(2(1(0(0(2(3(3(3(2(3(4(3(z0))))))))))))))))))))
   2(c_0(c_4(c_2(c_2(c_3(c_4(c_0(c_1(c_0(c_3(c_2(c_1(c_3(c_0(c_3(c_1(c_1(c_3(c_0(z0)))))))))))))))))))) -> 0(3(0(1(2(2(2(0(0(3(3(2(1(1(0(4(2(1(2(4(z0))))))))))))))))))))
   2(c_3(c_4(c_0(c_0(c_4(c_3(c_3(c_2(c_3(c_4(c_0(c_2(c_0(c_4(c_4(c_0(c_2(c_4(c_2(z0)))))))))))))))))))) -> 1(3(1(3(3(2(0(2(2(3(0(1(2(2(2(4(1(2(1(1(z0))))))))))))))))))))
   2(c_1(c_3(c_2(c_2(c_0(c_4(c_4(c_0(c_4(c_1(c_2(c_3(c_3(c_0(c_2(c_1(c_4(c_4(c_4(z0)))))))))))))))))))) -> 4(3(2(3(2(2(2(1(4(1(2(2(0(1(1(1(0(0(3(4(z0))))))))))))))))))))
   2(c_0(c_3(c_4(c_1(c_2(c_0(c_2(c_3(c_3(c_1(c_2(c_0(c_1(c_2(c_0(c_4(c_4(c_4(c_2(z0)))))))))))))))))))) -> 2(2(2(4(3(2(0(1(4(1(2(3(0(3(1(3(3(1(2(4(z0))))))))))))))))))))
   2(c_0(c_2(c_1(c_1(c_0(c_1(c_0(c_2(c_2(c_0(c_1(c_2(c_0(c_2(c_4(c_0(c_1(c_2(c_0(z0)))))))))))))))))))) -> 3(0(2(4(1(2(0(4(2(1(3(0(2(3(4(2(3(3(4(0(z0))))))))))))))))))))
   2(c_4(c_4(c_4(c_2(c_2(c_2(c_0(c_4(c_3(c_4(c_3(c_4(c_2(c_3(c_1(c_4(c_3(c_1(c_3(z0)))))))))))))))))))) -> 2(3(4(2(1(1(1(3(2(3(0(2(4(1(2(0(2(1(1(4(z0))))))))))))))))))))
   2(c_3(c_1(c_1(c_3(c_2(c_1(c_1(c_1(c_3(c_2(c_3(c_4(c_2(c_2(c_3(c_4(c_3(c_3(c_0(z0)))))))))))))))))))) -> 0(4(4(2(4(0(2(3(2(0(2(1(2(4(4(3(2(3(2(2(z0))))))))))))))))))))
   2(c_0(c_2(c_4(c_2(c_2(c_2(c_4(c_3(c_0(c_0(c_1(c_0(c_1(c_0(c_3(c_0(c_3(c_2(c_4(z0)))))))))))))))))))) -> 0(3(0(2(2(0(2(1(3(2(3(3(0(2(0(4(3(3(3(2(z0))))))))))))))))))))
   2(c_4(c_1(c_3(c_2(c_2(c_1(c_4(c_2(c_1(c_1(c_1(c_2(c_2(c_2(c_0(c_3(c_0(c_2(c_4(z0)))))))))))))))))))) -> 3(3(1(4(3(2(3(2(2(3(2(1(1(0(3(3(3(4(0(2(z0))))))))))))))))))))
   2(c_0(c_0(c_0(c_3(c_1(c_0(c_2(c_4(c_2(c_2(c_2(c_4(c_0(c_4(c_0(c_1(c_0(c_3(c_4(z0)))))))))))))))))))) -> 1(4(2(4(4(4(4(3(2(4(4(3(2(2(0(0(4(1(2(2(z0))))))))))))))))))))
   2(c_3(c_3(c_3(c_0(c_0(c_1(c_0(c_2(c_4(c_3(c_1(c_1(c_3(c_2(c_1(c_2(c_2(c_2(c_1(z0)))))))))))))))))))) -> 3(4(2(2(0(0(0(0(2(4(2(3(2(0(3(2(3(0(2(3(z0))))))))))))))))))))
   2(c_1(c_4(c_1(c_3(c_4(c_3(c_2(c_2(c_0(c_1(c_0(c_2(c_1(c_0(c_3(c_4(c_2(c_4(c_2(z0)))))))))))))))))))) -> 4(2(2(2(3(3(4(1(4(0(2(3(2(1(0(3(2(3(3(4(z0))))))))))))))))))))
   2(c_4(c_2(c_2(c_1(c_1(c_2(c_3(c_0(c_1(c_0(c_0(c_3(c_2(c_1(c_0(c_0(c_1(c_0(c_2(z0)))))))))))))))))))) -> 2(2(2(3(3(4(1(4(3(0(0(2(0(1(1(2(3(0(2(4(z0))))))))))))))))))))
   2(c_4(c_0(c_0(c_4(c_2(c_1(c_3(c_3(c_3(c_2(c_0(c_4(c_1(c_4(c_0(c_2(c_1(c_3(c_2(z0)))))))))))))))))))) -> 0(4(2(4(0(3(2(1(2(4(2(2(3(1(0(1(2(3(3(2(z0))))))))))))))))))))
   2(c_0(c_4(c_2(c_1(c_3(c_4(c_4(c_2(c_1(c_0(c_3(c_2(c_1(c_3(c_2(c_1(c_4(c_2(c_4(z0)))))))))))))))))))) -> 0(2(4(2(2(2(0(2(4(3(3(2(3(3(4(1(0(3(0(4(z0))))))))))))))))))))
   3(z0) -> c_3(z0)
   3(c_0(c_1(c_4(c_2(c_2(c_3(c_4(c_4(c_3(c_0(c_2(c_1(c_4(c_1(c_0(c_1(c_0(c_2(c_3(z0)))))))))))))))))))) -> 4(2(0(4(1(1(2(0(2(4(0(3(4(4(3(2(0(3(3(2(z0))))))))))))))))))))
   3(c_1(c_1(c_1(c_2(c_0(c_1(c_3(c_3(c_2(c_1(c_3(c_4(c_1(c_2(c_2(c_3(c_3(c_2(c_3(z0)))))))))))))))))))) -> 2(3(2(2(4(3(4(2(3(1(2(2(4(2(3(0(4(3(0(3(z0))))))))))))))))))))
   3(c_2(c_2(c_3(c_4(c_3(c_2(c_2(c_0(c_4(c_1(c_4(c_3(c_4(c_2(c_1(c_4(c_1(c_0(c_2(z0)))))))))))))))))))) -> 2(1(3(3(3(2(2(4(0(4(0(4(2(0(2(1(3(3(3(3(z0))))))))))))))))))))
   3(c_3(c_2(c_4(c_3(c_0(c_2(c_1(c_4(c_3(c_3(c_4(c_4(c_1(c_1(c_4(c_3(c_3(c_2(c_2(z0)))))))))))))))))))) -> 4(1(2(3(2(0(3(3(0(3(2(3(1(1(2(0(1(0(2(2(z0))))))))))))))))))))
   3(c_1(c_4(c_3(c_4(c_2(c_1(c_1(c_1(c_4(c_3(c_1(c_3(c_2(c_2(c_4(c_2(c_2(c_1(c_1(z0)))))))))))))))))))) -> 2(1(2(4(2(4(1(4(2(1(4(0(0(1(2(3(3(2(1(3(z0))))))))))))))))))))
   3(c_3(c_0(c_4(c_4(c_1(c_0(c_2(c_3(c_2(c_1(c_2(c_2(c_3(c_3(c_1(c_0(c_2(c_4(c_1(z0)))))))))))))))))))) -> 4(2(1(2(3(3(3(3(0(2(0(3(0(2(3(1(2(1(1(0(z0))))))))))))))))))))
   3(c_1(c_1(c_0(c_0(c_2(c_2(c_4(c_2(c_2(c_2(c_2(c_1(c_2(c_2(c_1(c_1(c_1(c_1(c_4(z0)))))))))))))))))))) -> 4(2(1(4(1(3(2(2(4(4(2(3(3(3(3(2(4(3(2(3(z0))))))))))))))))))))
   3(c_0(c_0(c_1(c_0(c_2(c_3(c_3(c_2(c_0(c_2(c_1(c_1(c_0(c_4(c_3(c_2(c_0(c_4(c_2(z0)))))))))))))))))))) -> 1(0(0(2(1(4(4(0(2(3(0(2(4(4(2(3(2(4(0(2(z0))))))))))))))))))))
   3(c_2(c_3(c_2(c_2(c_0(c_0(c_4(c_1(c_0(c_0(c_4(c_0(c_3(c_3(c_2(c_2(c_1(c_0(c_3(z0)))))))))))))))))))) -> 1(3(1(2(0(4(0(3(2(4(3(0(2(1(2(2(1(2(2(3(z0))))))))))))))))))))
   3(c_4(c_4(c_4(c_3(c_1(c_4(c_3(c_0(c_2(c_2(c_0(c_4(c_4(c_1(c_3(c_3(c_3(c_2(c_2(z0)))))))))))))))))))) -> 4(2(2(3(0(0(3(1(1(1(4(4(3(0(3(2(1(0(2(2(z0))))))))))))))))))))
   3(c_0(c_1(c_0(c_2(c_2(c_3(c_1(c_2(c_1(c_1(c_1(c_0(c_0(c_2(c_2(c_1(c_3(c_1(c_3(z0)))))))))))))))))))) -> 3(1(4(1(2(1(0(3(2(0(0(1(0(2(4(0(2(2(3(2(z0))))))))))))))))))))
   3(c_3(c_1(c_0(c_2(c_4(c_2(c_3(c_1(c_0(c_2(c_4(c_4(c_4(c_0(c_0(c_2(c_1(c_1(c_2(z0)))))))))))))))))))) -> 2(4(2(3(2(3(4(0(4(2(4(3(1(0(1(2(0(3(2(0(z0))))))))))))))))))))
   3(c_2(c_0(c_3(c_2(c_4(c_4(c_2(c_2(c_2(c_0(c_1(c_2(c_2(c_3(c_4(c_0(c_2(c_4(c_1(z0)))))))))))))))))))) -> 0(0(2(3(0(2(1(2(2(2(3(2(1(3(4(3(4(2(2(2(z0))))))))))))))))))))
   3(c_3(c_3(c_0(c_2(c_0(c_2(c_2(c_1(c_0(c_0(c_4(c_4(c_2(c_0(c_2(c_3(c_0(c_2(c_4(z0)))))))))))))))))))) -> 2(3(3(2(4(3(4(2(3(3(1(0(1(2(4(3(0(3(3(2(z0))))))))))))))))))))
   3(c_0(c_1(c_4(c_3(c_1(c_2(c_0(c_3(c_2(c_3(c_2(c_2(c_0(c_2(c_2(c_3(c_1(c_2(c_2(z0)))))))))))))))))))) -> 0(2(2(3(0(2(0(3(1(3(1(2(2(2(3(2(2(0(4(2(z0))))))))))))))))))))
   3(c_4(c_2(c_1(c_4(c_1(c_0(c_2(c_4(c_3(c_3(c_4(c_3(c_3(c_1(c_2(c_2(c_3(c_3(c_3(z0)))))))))))))))))))) -> 4(2(0(1(2(0(2(0(0(2(1(4(0(3(2(2(3(2(2(4(z0))))))))))))))))))))
   3(c_1(c_0(c_3(c_2(c_2(c_1(c_1(c_4(c_4(c_0(c_2(c_2(c_4(c_3(c_2(c_2(c_3(c_4(c_2(z0)))))))))))))))))))) -> 2(0(4(3(3(2(2(2(4(0(4(3(2(2(2(0(3(0(4(2(z0))))))))))))))))))))
   3(c_0(c_1(c_3(c_2(c_0(c_1(c_3(c_4(c_2(c_3(c_1(c_2(c_2(c_1(c_2(c_3(c_1(c_3(c_1(z0)))))))))))))))))))) -> 2(3(2(3(0(2(1(2(2(4(3(3(3(2(1(0(1(3(2(2(z0))))))))))))))))))))
   3(c_0(c_2(c_4(c_0(c_4(c_0(c_1(c_2(c_1(c_4(c_3(c_0(c_4(c_3(c_0(c_3(c_3(c_3(c_2(z0)))))))))))))))))))) -> 1(0(4(3(1(4(2(3(3(4(3(0(0(2(2(3(4(0(4(2(z0))))))))))))))))))))
   3(c_2(c_0(c_3(c_4(c_4(c_4(c_1(c_0(c_2(c_2(c_1(c_4(c_0(c_0(c_4(c_3(c_2(c_3(c_1(z0)))))))))))))))))))) -> 0(4(0(3(4(2(0(3(1(3(3(1(1(0(3(2(2(3(0(3(z0))))))))))))))))))))
   3(c_0(c_3(c_2(c_0(c_0(c_2(c_2(c_3(c_0(c_0(c_4(c_3(c_4(c_2(c_4(c_2(c_3(c_3(c_3(z0)))))))))))))))))))) -> 3(0(0(1(3(2(2(2(3(3(2(0(1(2(3(3(4(2(2(4(z0))))))))))))))))))))
   4(z0) -> c_4(z0)
   4(c_1(c_4(c_3(c_1(c_0(c_4(c_4(c_1(c_3(c_3(c_2(c_2(c_1(c_2(c_2(c_3(c_2(c_0(c_0(z0)))))))))))))))))))) -> 2(2(4(4(3(3(2(1(4(4(3(2(3(4(1(2(1(1(3(0(z0))))))))))))))))))))
   4(c_1(c_2(c_3(c_2(c_0(c_0(c_1(c_0(c_2(c_3(c_1(c_3(c_2(c_3(c_1(c_0(c_1(c_4(c_2(z0)))))))))))))))))))) -> 1(1(1(0(2(3(0(3(3(2(4(3(3(2(0(2(1(2(3(3(z0))))))))))))))))))))
   4(c_3(c_0(c_3(c_4(c_3(c_3(c_0(c_1(c_3(c_2(c_3(c_3(c_4(c_3(c_0(c_0(c_3(c_4(c_2(z0)))))))))))))))))))) -> 1(1(0(4(0(0(0(2(4(0(2(2(3(2(3(3(0(4(3(2(z0))))))))))))))))))))
   4(c_3(c_2(c_0(c_0(c_3(c_4(c_2(c_0(c_3(c_0(c_1(c_0(c_1(c_1(c_4(c_0(c_2(c_2(c_4(z0)))))))))))))))))))) -> 4(1(2(2(4(4(2(1(4(3(2(0(0(0(2(4(1(2(0(3(z0))))))))))))))))))))
   4(c_0(c_3(c_2(c_0(c_3(c_3(c_2(c_3(c_1(c_4(c_3(c_2(c_2(c_3(c_1(c_3(c_1(c_0(c_4(z0)))))))))))))))))))) -> 0(0(0(2(1(3(3(4(2(4(3(3(2(4(2(3(3(0(0(3(z0))))))))))))))))))))
   4(c_4(c_0(c_3(c_0(c_1(c_3(c_2(c_2(c_2(c_3(c_1(c_0(c_2(c_3(c_3(c_0(c_2(c_4(c_4(z0)))))))))))))))))))) -> 2(1(3(2(2(2(4(0(3(2(2(2(2(2(0(3(0(2(0(3(z0))))))))))))))))))))
   4(c_4(c_4(c_4(c_3(c_2(c_0(c_3(c_2(c_4(c_2(c_4(c_1(c_2(c_1(c_4(c_2(c_3(c_0(c_0(z0)))))))))))))))))))) -> 3(4(2(3(3(2(2(1(3(4(2(3(1(4(4(3(1(1(3(3(z0))))))))))))))))))))
   4(c_0(c_2(c_3(c_1(c_1(c_2(c_3(c_1(c_1(c_2(c_0(c_4(c_3(c_0(c_2(c_3(c_2(c_3(c_3(z0)))))))))))))))))))) -> 2(2(4(2(2(3(0(2(4(2(3(1(3(2(2(3(4(1(0(2(z0))))))))))))))))))))
   4(c_3(c_0(c_3(c_2(c_0(c_2(c_2(c_3(c_1(c_0(c_2(c_0(c_0(c_2(c_3(c_1(c_3(c_4(c_4(z0)))))))))))))))))))) -> 1(4(0(3(3(2(2(2(0(2(3(1(2(3(3(0(3(1(0(1(z0))))))))))))))))))))
   4(c_2(c_4(c_0(c_2(c_3(c_1(c_0(c_2(c_1(c_2(c_2(c_4(c_1(c_4(c_3(c_1(c_0(c_3(c_2(z0)))))))))))))))))))) -> 1(3(0(2(3(2(0(0(0(3(3(2(4(4(3(3(2(4(3(0(z0))))))))))))))))))))
   4(c_2(c_3(c_2(c_2(c_0(c_0(c_4(c_0(c_2(c_0(c_1(c_3(c_0(c_2(c_1(c_0(c_1(c_2(c_4(z0)))))))))))))))))))) -> 1(0(2(0(4(3(4(3(0(3(2(2(4(0(2(1(2(2(4(2(z0))))))))))))))))))))
   4(c_4(c_0(c_3(c_0(c_4(c_2(c_4(c_2(c_3(c_0(c_2(c_2(c_0(c_4(c_3(c_3(c_4(c_2(c_2(z0)))))))))))))))))))) -> 2(3(3(1(0(2(2(3(1(4(0(0(1(2(2(0(4(4(2(2(z0))))))))))))))))))))
   4(c_0(c_0(c_0(c_0(c_4(c_2(c_1(c_1(c_1(c_1(c_3(c_2(c_4(c_0(c_0(c_3(c_2(c_4(c_1(z0)))))))))))))))))))) -> 2(1(2(2(0(2(4(3(1(0(4(1(4(0(3(4(1(3(4(4(z0))))))))))))))))))))
   4(c_4(c_2(c_2(c_0(c_0(c_3(c_0(c_3(c_1(c_2(c_3(c_3(c_1(c_2(c_2(c_2(c_4(c_4(c_4(z0)))))))))))))))))))) -> 4(2(3(0(2(2(0(2(2(4(3(1(1(4(4(2(4(2(3(3(z0))))))))))))))))))))
   4(c_2(c_3(c_0(c_2(c_2(c_4(c_0(c_0(c_3(c_1(c_2(c_0(c_4(c_2(c_0(c_2(c_3(c_3(c_0(z0)))))))))))))))))))) -> 2(2(2(2(4(0(3(0(4(1(2(2(1(3(3(2(0(3(1(0(z0))))))))))))))))))))
   4(c_1(c_1(c_1(c_4(c_2(c_4(c_2(c_0(c_2(c_3(c_3(c_1(c_3(c_0(c_2(c_2(c_0(c_0(c_3(z0)))))))))))))))))))) -> 0(4(2(1(2(2(2(0(4(2(3(3(0(2(1(4(0(1(4(2(z0))))))))))))))))))))
   4(c_0(c_2(c_2(c_4(c_3(c_1(c_3(c_4(c_0(c_0(c_0(c_2(c_2(c_2(c_3(c_0(c_4(c_2(c_4(z0)))))))))))))))))))) -> 2(1(3(3(4(4(1(0(3(2(2(3(0(0(4(3(3(4(2(2(z0))))))))))))))))))))
   4(c_3(c_3(c_3(c_0(c_2(c_1(c_2(c_2(c_3(c_2(c_0(c_1(c_1(c_4(c_1(c_3(c_4(c_2(c_4(z0)))))))))))))))))))) -> 3(4(1(3(3(2(1(2(1(1(0(2(2(0(0(1(1(2(3(2(z0))))))))))))))))))))
   4(c_4(c_4(c_1(c_3(c_3(c_4(c_4(c_2(c_2(c_0(c_1(c_0(c_2(c_4(c_3(c_2(c_2(c_0(c_2(z0)))))))))))))))))))) -> 4(3(2(3(2(2(0(0(1(3(4(2(2(2(4(4(1(2(0(2(z0))))))))))))))))))))
   4(c_0(c_4(c_2(c_2(c_3(c_3(c_2(c_2(c_1(c_2(c_1(c_0(c_1(c_0(c_3(c_2(c_1(c_2(c_0(z0)))))))))))))))))))) -> 1(1(2(2(0(0(4(4(2(3(3(3(2(2(2(0(3(0(0(2(z0))))))))))))))))))))
Tuples:
   ENCARG(cons_0(z0)) -> c(0'(encArg(z0)), ENCARG(z0))
   ENCARG(cons_1(z0)) -> c1(1'(encArg(z0)), ENCARG(z0))
   ENCARG(cons_2(z0)) -> c2(2'(encArg(z0)), ENCARG(z0))
   ENCARG(cons_3(z0)) -> c3(3'(encArg(z0)), ENCARG(z0))
   ENCARG(cons_4(z0)) -> c4(4'(encArg(z0)), ENCARG(z0))
   0'(c_1(c_4(c_2(c_2(c_0(c_3(c_2(c_0(c_4(c_1(c_3(c_2(c_0(c_0(c_3(c_2(c_3(c_0(c_2(z0)))))))))))))))))))) -> c11(2'(4(2(1(2(2(3(0(2(0(1(2(2(0(1(2(0(0(4(2(z0)))))))))))))))))))), 4'(2(1(2(2(3(0(2(0(1(2(2(0(1(2(0(0(4(2(z0))))))))))))))))))), 2'(1(2(2(3(0(2(0(1(2(2(0(1(2(0(0(4(2(z0)))))))))))))))))), 1'(2(2(3(0(2(0(1(2(2(0(1(2(0(0(4(2(z0))))))))))))))))), 2'(2(3(0(2(0(1(2(2(0(1(2(0(0(4(2(z0)))))))))))))))), 2'(3(0(2(0(1(2(2(0(1(2(0(0(4(2(z0))))))))))))))), 3'(0(2(0(1(2(2(0(1(2(0(0(4(2(z0)))))))))))))), 0'(2(0(1(2(2(0(1(2(0(0(4(2(z0))))))))))))), 2'(0(1(2(2(0(1(2(0(0(4(2(z0)))))))))))), 0'(1(2(2(0(1(2(0(0(4(2(z0))))))))))), 1'(2(2(0(1(2(0(0(4(2(z0)))))))))), 2'(2(0(1(2(0(0(4(2(z0))))))))), 2'(0(1(2(0(0(4(2(z0)))))))), 0'(1(2(0(0(4(2(z0))))))), 1'(2(0(0(4(2(z0)))))), 2'(0(0(4(2(z0))))), 0'(0(4(2(z0)))), 0'(4(2(z0))), 4'(2(z0)), 2'(z0))
   0'(c_0(c_2(c_1(c_0(c_3(c_1(c_3(c_1(c_3(c_3(c_3(c_2(c_4(c_0(c_0(c_1(c_2(c_0(c_4(z0)))))))))))))))))))) -> c12(4'(4(1(4(4(3(2(1(1(0(2(2(1(2(1(0(3(4(2(2(z0)))))))))))))))))))), 4'(1(4(4(3(2(1(1(0(2(2(1(2(1(0(3(4(2(2(z0))))))))))))))))))), 1'(4(4(3(2(1(1(0(2(2(1(2(1(0(3(4(2(2(z0)))))))))))))))))), 4'(4(3(2(1(1(0(2(2(1(2(1(0(3(4(2(2(z0))))))))))))))))), 4'(3(2(1(1(0(2(2(1(2(1(0(3(4(2(2(z0)))))))))))))))), 3'(2(1(1(0(2(2(1(2(1(0(3(4(2(2(z0))))))))))))))), 2'(1(1(0(2(2(1(2(1(0(3(4(2(2(z0)))))))))))))), 1'(1(0(2(2(1(2(1(0(3(4(2(2(z0))))))))))))), 1'(0(2(2(1(2(1(0(3(4(2(2(z0)))))))))))), 0'(2(2(1(2(1(0(3(4(2(2(z0))))))))))), 2'(2(1(2(1(0(3(4(2(2(z0)))))))))), 2'(1(2(1(0(3(4(2(2(z0))))))))), 1'(2(1(0(3(4(2(2(z0)))))))), 2'(1(0(3(4(2(2(z0))))))), 1'(0(3(4(2(2(z0)))))), 0'(3(4(2(2(z0))))), 3'(4(2(2(z0)))), 4'(2(2(z0))), 2'(2(z0)), 2'(z0))
   0'(c_3(c_2(c_0(c_4(c_2(c_0(c_1(c_1(c_3(c_2(c_3(c_4(c_4(c_1(c_2(c_4(c_2(c_4(c_2(z0)))))))))))))))))))) -> c13(2'(2(4(3(4(2(3(4(1(2(1(0(0(2(0(4(1(4(2(2(z0)))))))))))))))))))), 2'(4(3(4(2(3(4(1(2(1(0(0(2(0(4(1(4(2(2(z0))))))))))))))))))), 4'(3(4(2(3(4(1(2(1(0(0(2(0(4(1(4(2(2(z0)))))))))))))))))), 3'(4(2(3(4(1(2(1(0(0(2(0(4(1(4(2(2(z0))))))))))))))))), 4'(2(3(4(1(2(1(0(0(2(0(4(1(4(2(2(z0)))))))))))))))), 2'(3(4(1(2(1(0(0(2(0(4(1(4(2(2(z0))))))))))))))), 3'(4(1(2(1(0(0(2(0(4(1(4(2(2(z0)))))))))))))), 4'(1(2(1(0(0(2(0(4(1(4(2(2(z0))))))))))))), 1'(2(1(0(0(2(0(4(1(4(2(2(z0)))))))))))), 2'(1(0(0(2(0(4(1(4(2(2(z0))))))))))), 1'(0(0(2(0(4(1(4(2(2(z0)))))))))), 0'(0(2(0(4(1(4(2(2(z0))))))))), 0'(2(0(4(1(4(2(2(z0)))))))), 2'(0(4(1(4(2(2(z0))))))), 0'(4(1(4(2(2(z0)))))), 4'(1(4(2(2(z0))))), 1'(4(2(2(z0)))), 4'(2(2(z0))), 2'(2(z0)), 2'(z0))
   0'(c_1(c_4(c_3(c_2(c_3(c_0(c_1(c_2(c_4(c_0(c_3(c_4(c_2(c_0(c_0(c_3(c_2(c_4(c_2(z0)))))))))))))))))))) -> c14(2'(1(3(0(0(1(4(3(1(3(2(2(2(1(3(0(2(0(0(2(z0)))))))))))))))))))), 1'(3(0(0(1(4(3(1(3(2(2(2(1(3(0(2(0(0(2(z0))))))))))))))))))), 3'(0(0(1(4(3(1(3(2(2(2(1(3(0(2(0(0(2(z0)))))))))))))))))), 0'(0(1(4(3(1(3(2(2(2(1(3(0(2(0(0(2(z0))))))))))))))))), 0'(1(4(3(1(3(2(2(2(1(3(0(2(0(0(2(z0)))))))))))))))), 1'(4(3(1(3(2(2(2(1(3(0(2(0(0(2(z0))))))))))))))), 4'(3(1(3(2(2(2(1(3(0(2(0(0(2(z0)))))))))))))), 3'(1(3(2(2(2(1(3(0(2(0(0(2(z0))))))))))))), 1'(3(2(2(2(1(3(0(2(0(0(2(z0)))))))))))), 3'(2(2(2(1(3(0(2(0(0(2(z0))))))))))), 2'(2(2(1(3(0(2(0(0(2(z0)))))))))), 2'(2(1(3(0(2(0(0(2(z0))))))))), 2'(1(3(0(2(0(0(2(z0)))))))), 1'(3(0(2(0(0(2(z0))))))), 3'(0(2(0(0(2(z0)))))), 0'(2(0(0(2(z0))))), 2'(0(0(2(z0)))), 0'(0(2(z0))), 0'(2(z0)), 2'(z0))
   0'(c_3(c_3(c_2(c_4(c_1(c_0(c_0(c_1(c_2(c_0(c_4(c_3(c_3(c_4(c_4(c_4(c_3(c_1(c_2(z0)))))))))))))))))))) -> c15(4'(1(2(2(2(2(4(4(2(0(3(2(1(0(4(4(1(4(2(0(z0)))))))))))))))))))), 1'(2(2(2(2(4(4(2(0(3(2(1(0(4(4(1(4(2(0(z0))))))))))))))))))), 2'(2(2(2(4(4(2(0(3(2(1(0(4(4(1(4(2(0(z0)))))))))))))))))), 2'(2(2(4(4(2(0(3(2(1(0(4(4(1(4(2(0(z0))))))))))))))))), 2'(2(4(4(2(0(3(2(1(0(4(4(1(4(2(0(z0)))))))))))))))), 2'(4(4(2(0(3(2(1(0(4(4(1(4(2(0(z0))))))))))))))), 4'(4(2(0(3(2(1(0(4(4(1(4(2(0(z0)))))))))))))), 4'(2(0(3(2(1(0(4(4(1(4(2(0(z0))))))))))))), 2'(0(3(2(1(0(4(4(1(4(2(0(z0)))))))))))), 0'(3(2(1(0(4(4(1(4(2(0(z0))))))))))), 3'(2(1(0(4(4(1(4(2(0(z0)))))))))), 2'(1(0(4(4(1(4(2(0(z0))))))))), 1'(0(4(4(1(4(2(0(z0)))))))), 0'(4(4(1(4(2(0(z0))))))), 4'(4(1(4(2(0(z0)))))), 4'(1(4(2(0(z0))))), 1'(4(2(0(z0)))), 4'(2(0(z0))), 2'(0(z0)), 0'(z0))
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   4'(c_0(c_0(c_0(c_0(c_4(c_2(c_1(c_1(c_1(c_1(c_3(c_2(c_4(c_0(c_0(c_3(c_2(c_4(c_1(z0)))))))))))))))))))) -> c106(2'(1(2(2(0(2(4(3(1(0(4(1(4(0(3(4(1(3(4(4(z0)))))))))))))))))))), 1'(2(2(0(2(4(3(1(0(4(1(4(0(3(4(1(3(4(4(z0))))))))))))))))))), 2'(2(0(2(4(3(1(0(4(1(4(0(3(4(1(3(4(4(z0)))))))))))))))))), 2'(0(2(4(3(1(0(4(1(4(0(3(4(1(3(4(4(z0))))))))))))))))), 0'(2(4(3(1(0(4(1(4(0(3(4(1(3(4(4(z0)))))))))))))))), 2'(4(3(1(0(4(1(4(0(3(4(1(3(4(4(z0))))))))))))))), 4'(3(1(0(4(1(4(0(3(4(1(3(4(4(z0)))))))))))))), 3'(1(0(4(1(4(0(3(4(1(3(4(4(z0))))))))))))), 1'(0(4(1(4(0(3(4(1(3(4(4(z0)))))))))))), 0'(4(1(4(0(3(4(1(3(4(4(z0))))))))))), 4'(1(4(0(3(4(1(3(4(4(z0)))))))))), 1'(4(0(3(4(1(3(4(4(z0))))))))), 4'(0(3(4(1(3(4(4(z0)))))))), 0'(3(4(1(3(4(4(z0))))))), 3'(4(1(3(4(4(z0)))))), 4'(1(3(4(4(z0))))), 1'(3(4(4(z0)))), 3'(4(4(z0))), 4'(4(z0)), 4'(z0))
   4'(c_4(c_2(c_2(c_0(c_0(c_3(c_0(c_3(c_1(c_2(c_3(c_3(c_1(c_2(c_2(c_2(c_4(c_4(c_4(z0)))))))))))))))))))) -> c107(4'(2(3(0(2(2(0(2(2(4(3(1(1(4(4(2(4(2(3(3(z0)))))))))))))))))))), 2'(3(0(2(2(0(2(2(4(3(1(1(4(4(2(4(2(3(3(z0))))))))))))))))))), 3'(0(2(2(0(2(2(4(3(1(1(4(4(2(4(2(3(3(z0)))))))))))))))))), 0'(2(2(0(2(2(4(3(1(1(4(4(2(4(2(3(3(z0))))))))))))))))), 2'(2(0(2(2(4(3(1(1(4(4(2(4(2(3(3(z0)))))))))))))))), 2'(0(2(2(4(3(1(1(4(4(2(4(2(3(3(z0))))))))))))))), 0'(2(2(4(3(1(1(4(4(2(4(2(3(3(z0)))))))))))))), 2'(2(4(3(1(1(4(4(2(4(2(3(3(z0))))))))))))), 2'(4(3(1(1(4(4(2(4(2(3(3(z0)))))))))))), 4'(3(1(1(4(4(2(4(2(3(3(z0))))))))))), 3'(1(1(4(4(2(4(2(3(3(z0)))))))))), 1'(1(4(4(2(4(2(3(3(z0))))))))), 1'(4(4(2(4(2(3(3(z0)))))))), 4'(4(2(4(2(3(3(z0))))))), 4'(2(4(2(3(3(z0)))))), 2'(4(2(3(3(z0))))), 4'(2(3(3(z0)))), 2'(3(3(z0))), 3'(3(z0)), 3'(z0))
   4'(c_2(c_3(c_0(c_2(c_2(c_4(c_0(c_0(c_3(c_1(c_2(c_0(c_4(c_2(c_0(c_2(c_3(c_3(c_0(z0)))))))))))))))))))) -> c108(2'(2(2(2(4(0(3(0(4(1(2(2(1(3(3(2(0(3(1(0(z0)))))))))))))))))))), 2'(2(2(4(0(3(0(4(1(2(2(1(3(3(2(0(3(1(0(z0))))))))))))))))))), 2'(2(4(0(3(0(4(1(2(2(1(3(3(2(0(3(1(0(z0)))))))))))))))))), 2'(4(0(3(0(4(1(2(2(1(3(3(2(0(3(1(0(z0))))))))))))))))), 4'(0(3(0(4(1(2(2(1(3(3(2(0(3(1(0(z0)))))))))))))))), 0'(3(0(4(1(2(2(1(3(3(2(0(3(1(0(z0))))))))))))))), 3'(0(4(1(2(2(1(3(3(2(0(3(1(0(z0)))))))))))))), 0'(4(1(2(2(1(3(3(2(0(3(1(0(z0))))))))))))), 4'(1(2(2(1(3(3(2(0(3(1(0(z0)))))))))))), 1'(2(2(1(3(3(2(0(3(1(0(z0))))))))))), 2'(2(1(3(3(2(0(3(1(0(z0)))))))))), 2'(1(3(3(2(0(3(1(0(z0))))))))), 1'(3(3(2(0(3(1(0(z0)))))))), 3'(3(2(0(3(1(0(z0))))))), 3'(2(0(3(1(0(z0)))))), 2'(0(3(1(0(z0))))), 0'(3(1(0(z0)))), 3'(1(0(z0))), 1'(0(z0)), 0'(z0))
   4'(c_1(c_1(c_1(c_4(c_2(c_4(c_2(c_0(c_2(c_3(c_3(c_1(c_3(c_0(c_2(c_2(c_0(c_0(c_3(z0)))))))))))))))))))) -> c109(0'(4(2(1(2(2(2(0(4(2(3(3(0(2(1(4(0(1(4(2(z0)))))))))))))))))))), 4'(2(1(2(2(2(0(4(2(3(3(0(2(1(4(0(1(4(2(z0))))))))))))))))))), 2'(1(2(2(2(0(4(2(3(3(0(2(1(4(0(1(4(2(z0)))))))))))))))))), 1'(2(2(2(0(4(2(3(3(0(2(1(4(0(1(4(2(z0))))))))))))))))), 2'(2(2(0(4(2(3(3(0(2(1(4(0(1(4(2(z0)))))))))))))))), 2'(2(0(4(2(3(3(0(2(1(4(0(1(4(2(z0))))))))))))))), 2'(0(4(2(3(3(0(2(1(4(0(1(4(2(z0)))))))))))))), 0'(4(2(3(3(0(2(1(4(0(1(4(2(z0))))))))))))), 4'(2(3(3(0(2(1(4(0(1(4(2(z0)))))))))))), 2'(3(3(0(2(1(4(0(1(4(2(z0))))))))))), 3'(3(0(2(1(4(0(1(4(2(z0)))))))))), 3'(0(2(1(4(0(1(4(2(z0))))))))), 0'(2(1(4(0(1(4(2(z0)))))))), 2'(1(4(0(1(4(2(z0))))))), 1'(4(0(1(4(2(z0)))))), 4'(0(1(4(2(z0))))), 0'(1(4(2(z0)))), 1'(4(2(z0))), 4'(2(z0)), 2'(z0))
   4'(c_0(c_2(c_2(c_4(c_3(c_1(c_3(c_4(c_0(c_0(c_0(c_2(c_2(c_2(c_3(c_0(c_4(c_2(c_4(z0)))))))))))))))))))) -> c110(2'(1(3(3(4(4(1(0(3(2(2(3(0(0(4(3(3(4(2(2(z0)))))))))))))))))))), 1'(3(3(4(4(1(0(3(2(2(3(0(0(4(3(3(4(2(2(z0))))))))))))))))))), 3'(3(4(4(1(0(3(2(2(3(0(0(4(3(3(4(2(2(z0)))))))))))))))))), 3'(4(4(1(0(3(2(2(3(0(0(4(3(3(4(2(2(z0))))))))))))))))), 4'(4(1(0(3(2(2(3(0(0(4(3(3(4(2(2(z0)))))))))))))))), 4'(1(0(3(2(2(3(0(0(4(3(3(4(2(2(z0))))))))))))))), 1'(0(3(2(2(3(0(0(4(3(3(4(2(2(z0)))))))))))))), 0'(3(2(2(3(0(0(4(3(3(4(2(2(z0))))))))))))), 3'(2(2(3(0(0(4(3(3(4(2(2(z0)))))))))))), 2'(2(3(0(0(4(3(3(4(2(2(z0))))))))))), 2'(3(0(0(4(3(3(4(2(2(z0)))))))))), 3'(0(0(4(3(3(4(2(2(z0))))))))), 0'(0(4(3(3(4(2(2(z0)))))))), 0'(4(3(3(4(2(2(z0))))))), 4'(3(3(4(2(2(z0)))))), 3'(3(4(2(2(z0))))), 3'(4(2(2(z0)))), 4'(2(2(z0))), 2'(2(z0)), 2'(z0))
   4'(c_3(c_3(c_3(c_0(c_2(c_1(c_2(c_2(c_3(c_2(c_0(c_1(c_1(c_4(c_1(c_3(c_4(c_2(c_4(z0)))))))))))))))))))) -> c111(3'(4(1(3(3(2(1(2(1(1(0(2(2(0(0(1(1(2(3(2(z0)))))))))))))))))))), 4'(1(3(3(2(1(2(1(1(0(2(2(0(0(1(1(2(3(2(z0))))))))))))))))))), 1'(3(3(2(1(2(1(1(0(2(2(0(0(1(1(2(3(2(z0)))))))))))))))))), 3'(3(2(1(2(1(1(0(2(2(0(0(1(1(2(3(2(z0))))))))))))))))), 3'(2(1(2(1(1(0(2(2(0(0(1(1(2(3(2(z0)))))))))))))))), 2'(1(2(1(1(0(2(2(0(0(1(1(2(3(2(z0))))))))))))))), 1'(2(1(1(0(2(2(0(0(1(1(2(3(2(z0)))))))))))))), 2'(1(1(0(2(2(0(0(1(1(2(3(2(z0))))))))))))), 1'(1(0(2(2(0(0(1(1(2(3(2(z0)))))))))))), 1'(0(2(2(0(0(1(1(2(3(2(z0))))))))))), 0'(2(2(0(0(1(1(2(3(2(z0)))))))))), 2'(2(0(0(1(1(2(3(2(z0))))))))), 2'(0(0(1(1(2(3(2(z0)))))))), 0'(0(1(1(2(3(2(z0))))))), 0'(1(1(2(3(2(z0)))))), 1'(1(2(3(2(z0))))), 1'(2(3(2(z0)))), 2'(3(2(z0))), 3'(2(z0)), 2'(z0))
   4'(c_4(c_4(c_1(c_3(c_3(c_4(c_4(c_2(c_2(c_0(c_1(c_0(c_2(c_4(c_3(c_2(c_2(c_0(c_2(z0)))))))))))))))))))) -> c112(4'(3(2(3(2(2(0(0(1(3(4(2(2(2(4(4(1(2(0(2(z0)))))))))))))))))))), 3'(2(3(2(2(0(0(1(3(4(2(2(2(4(4(1(2(0(2(z0))))))))))))))))))), 2'(3(2(2(0(0(1(3(4(2(2(2(4(4(1(2(0(2(z0)))))))))))))))))), 3'(2(2(0(0(1(3(4(2(2(2(4(4(1(2(0(2(z0))))))))))))))))), 2'(2(0(0(1(3(4(2(2(2(4(4(1(2(0(2(z0)))))))))))))))), 2'(0(0(1(3(4(2(2(2(4(4(1(2(0(2(z0))))))))))))))), 0'(0(1(3(4(2(2(2(4(4(1(2(0(2(z0)))))))))))))), 0'(1(3(4(2(2(2(4(4(1(2(0(2(z0))))))))))))), 1'(3(4(2(2(2(4(4(1(2(0(2(z0)))))))))))), 3'(4(2(2(2(4(4(1(2(0(2(z0))))))))))), 4'(2(2(2(4(4(1(2(0(2(z0)))))))))), 2'(2(2(4(4(1(2(0(2(z0))))))))), 2'(2(4(4(1(2(0(2(z0)))))))), 2'(4(4(1(2(0(2(z0))))))), 4'(4(1(2(0(2(z0)))))), 4'(1(2(0(2(z0))))), 1'(2(0(2(z0)))), 2'(0(2(z0))), 0'(2(z0)), 2'(z0))
   4'(c_0(c_4(c_2(c_2(c_3(c_3(c_2(c_2(c_1(c_2(c_1(c_0(c_1(c_0(c_3(c_2(c_1(c_2(c_0(z0)))))))))))))))))))) -> c113(1'(1(2(2(0(0(4(4(2(3(3(3(2(2(2(0(3(0(0(2(z0)))))))))))))))))))), 1'(2(2(0(0(4(4(2(3(3(3(2(2(2(0(3(0(0(2(z0))))))))))))))))))), 2'(2(0(0(4(4(2(3(3(3(2(2(2(0(3(0(0(2(z0)))))))))))))))))), 2'(0(0(4(4(2(3(3(3(2(2(2(0(3(0(0(2(z0))))))))))))))))), 0'(0(4(4(2(3(3(3(2(2(2(0(3(0(0(2(z0)))))))))))))))), 0'(4(4(2(3(3(3(2(2(2(0(3(0(0(2(z0))))))))))))))), 4'(4(2(3(3(3(2(2(2(0(3(0(0(2(z0)))))))))))))), 4'(2(3(3(3(2(2(2(0(3(0(0(2(z0))))))))))))), 2'(3(3(3(2(2(2(0(3(0(0(2(z0)))))))))))), 3'(3(3(2(2(2(0(3(0(0(2(z0))))))))))), 3'(3(2(2(2(0(3(0(0(2(z0)))))))))), 3'(2(2(2(0(3(0(0(2(z0))))))))), 2'(2(2(0(3(0(0(2(z0)))))))), 2'(2(0(3(0(0(2(z0))))))), 2'(0(3(0(0(2(z0)))))), 0'(3(0(0(2(z0))))), 3'(0(0(2(z0)))), 0'(0(2(z0))), 0'(2(z0)), 2'(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_1(c_4(c_2(c_2(c_0(c_3(c_2(c_0(c_4(c_1(c_3(c_2(c_0(c_0(c_3(c_2(c_3(c_0(c_2(z0)))))))))))))))))))) -> c11(2'(4(2(1(2(2(3(0(2(0(1(2(2(0(1(2(0(0(4(2(z0)))))))))))))))))))), 4'(2(1(2(2(3(0(2(0(1(2(2(0(1(2(0(0(4(2(z0))))))))))))))))))), 2'(1(2(2(3(0(2(0(1(2(2(0(1(2(0(0(4(2(z0)))))))))))))))))), 1'(2(2(3(0(2(0(1(2(2(0(1(2(0(0(4(2(z0))))))))))))))))), 2'(2(3(0(2(0(1(2(2(0(1(2(0(0(4(2(z0)))))))))))))))), 2'(3(0(2(0(1(2(2(0(1(2(0(0(4(2(z0))))))))))))))), 3'(0(2(0(1(2(2(0(1(2(0(0(4(2(z0)))))))))))))), 0'(2(0(1(2(2(0(1(2(0(0(4(2(z0))))))))))))), 2'(0(1(2(2(0(1(2(0(0(4(2(z0)))))))))))), 0'(1(2(2(0(1(2(0(0(4(2(z0))))))))))), 1'(2(2(0(1(2(0(0(4(2(z0)))))))))), 2'(2(0(1(2(0(0(4(2(z0))))))))), 2'(0(1(2(0(0(4(2(z0)))))))), 0'(1(2(0(0(4(2(z0))))))), 1'(2(0(0(4(2(z0)))))), 2'(0(0(4(2(z0))))), 0'(0(4(2(z0)))), 0'(4(2(z0))), 4'(2(z0)), 2'(z0))
   0'(c_0(c_2(c_1(c_0(c_3(c_1(c_3(c_1(c_3(c_3(c_3(c_2(c_4(c_0(c_0(c_1(c_2(c_0(c_4(z0)))))))))))))))))))) -> c12(4'(4(1(4(4(3(2(1(1(0(2(2(1(2(1(0(3(4(2(2(z0)))))))))))))))))))), 4'(1(4(4(3(2(1(1(0(2(2(1(2(1(0(3(4(2(2(z0))))))))))))))))))), 1'(4(4(3(2(1(1(0(2(2(1(2(1(0(3(4(2(2(z0)))))))))))))))))), 4'(4(3(2(1(1(0(2(2(1(2(1(0(3(4(2(2(z0))))))))))))))))), 4'(3(2(1(1(0(2(2(1(2(1(0(3(4(2(2(z0)))))))))))))))), 3'(2(1(1(0(2(2(1(2(1(0(3(4(2(2(z0))))))))))))))), 2'(1(1(0(2(2(1(2(1(0(3(4(2(2(z0)))))))))))))), 1'(1(0(2(2(1(2(1(0(3(4(2(2(z0))))))))))))), 1'(0(2(2(1(2(1(0(3(4(2(2(z0)))))))))))), 0'(2(2(1(2(1(0(3(4(2(2(z0))))))))))), 2'(2(1(2(1(0(3(4(2(2(z0)))))))))), 2'(1(2(1(0(3(4(2(2(z0))))))))), 1'(2(1(0(3(4(2(2(z0)))))))), 2'(1(0(3(4(2(2(z0))))))), 1'(0(3(4(2(2(z0)))))), 0'(3(4(2(2(z0))))), 3'(4(2(2(z0)))), 4'(2(2(z0))), 2'(2(z0)), 2'(z0))
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   4'(c_4(c_0(c_3(c_0(c_4(c_2(c_4(c_2(c_3(c_0(c_2(c_2(c_0(c_4(c_3(c_3(c_4(c_2(c_2(z0)))))))))))))))))))) -> c105(2'(3(3(1(0(2(2(3(1(4(0(0(1(2(2(0(4(4(2(2(z0)))))))))))))))))))), 3'(3(1(0(2(2(3(1(4(0(0(1(2(2(0(4(4(2(2(z0))))))))))))))))))), 3'(1(0(2(2(3(1(4(0(0(1(2(2(0(4(4(2(2(z0)))))))))))))))))), 1'(0(2(2(3(1(4(0(0(1(2(2(0(4(4(2(2(z0))))))))))))))))), 0'(2(2(3(1(4(0(0(1(2(2(0(4(4(2(2(z0)))))))))))))))), 2'(2(3(1(4(0(0(1(2(2(0(4(4(2(2(z0))))))))))))))), 2'(3(1(4(0(0(1(2(2(0(4(4(2(2(z0)))))))))))))), 3'(1(4(0(0(1(2(2(0(4(4(2(2(z0))))))))))))), 1'(4(0(0(1(2(2(0(4(4(2(2(z0)))))))))))), 4'(0(0(1(2(2(0(4(4(2(2(z0))))))))))), 0'(0(1(2(2(0(4(4(2(2(z0)))))))))), 0'(1(2(2(0(4(4(2(2(z0))))))))), 1'(2(2(0(4(4(2(2(z0)))))))), 2'(2(0(4(4(2(2(z0))))))), 2'(0(4(4(2(2(z0)))))), 0'(4(4(2(2(z0))))), 4'(4(2(2(z0)))), 4'(2(2(z0))), 2'(2(z0)), 2'(z0))
   4'(c_0(c_0(c_0(c_0(c_4(c_2(c_1(c_1(c_1(c_1(c_3(c_2(c_4(c_0(c_0(c_3(c_2(c_4(c_1(z0)))))))))))))))))))) -> c106(2'(1(2(2(0(2(4(3(1(0(4(1(4(0(3(4(1(3(4(4(z0)))))))))))))))))))), 1'(2(2(0(2(4(3(1(0(4(1(4(0(3(4(1(3(4(4(z0))))))))))))))))))), 2'(2(0(2(4(3(1(0(4(1(4(0(3(4(1(3(4(4(z0)))))))))))))))))), 2'(0(2(4(3(1(0(4(1(4(0(3(4(1(3(4(4(z0))))))))))))))))), 0'(2(4(3(1(0(4(1(4(0(3(4(1(3(4(4(z0)))))))))))))))), 2'(4(3(1(0(4(1(4(0(3(4(1(3(4(4(z0))))))))))))))), 4'(3(1(0(4(1(4(0(3(4(1(3(4(4(z0)))))))))))))), 3'(1(0(4(1(4(0(3(4(1(3(4(4(z0))))))))))))), 1'(0(4(1(4(0(3(4(1(3(4(4(z0)))))))))))), 0'(4(1(4(0(3(4(1(3(4(4(z0))))))))))), 4'(1(4(0(3(4(1(3(4(4(z0)))))))))), 1'(4(0(3(4(1(3(4(4(z0))))))))), 4'(0(3(4(1(3(4(4(z0)))))))), 0'(3(4(1(3(4(4(z0))))))), 3'(4(1(3(4(4(z0)))))), 4'(1(3(4(4(z0))))), 1'(3(4(4(z0)))), 3'(4(4(z0))), 4'(4(z0)), 4'(z0))
   4'(c_4(c_2(c_2(c_0(c_0(c_3(c_0(c_3(c_1(c_2(c_3(c_3(c_1(c_2(c_2(c_2(c_4(c_4(c_4(z0)))))))))))))))))))) -> c107(4'(2(3(0(2(2(0(2(2(4(3(1(1(4(4(2(4(2(3(3(z0)))))))))))))))))))), 2'(3(0(2(2(0(2(2(4(3(1(1(4(4(2(4(2(3(3(z0))))))))))))))))))), 3'(0(2(2(0(2(2(4(3(1(1(4(4(2(4(2(3(3(z0)))))))))))))))))), 0'(2(2(0(2(2(4(3(1(1(4(4(2(4(2(3(3(z0))))))))))))))))), 2'(2(0(2(2(4(3(1(1(4(4(2(4(2(3(3(z0)))))))))))))))), 2'(0(2(2(4(3(1(1(4(4(2(4(2(3(3(z0))))))))))))))), 0'(2(2(4(3(1(1(4(4(2(4(2(3(3(z0)))))))))))))), 2'(2(4(3(1(1(4(4(2(4(2(3(3(z0))))))))))))), 2'(4(3(1(1(4(4(2(4(2(3(3(z0)))))))))))), 4'(3(1(1(4(4(2(4(2(3(3(z0))))))))))), 3'(1(1(4(4(2(4(2(3(3(z0)))))))))), 1'(1(4(4(2(4(2(3(3(z0))))))))), 1'(4(4(2(4(2(3(3(z0)))))))), 4'(4(2(4(2(3(3(z0))))))), 4'(2(4(2(3(3(z0)))))), 2'(4(2(3(3(z0))))), 4'(2(3(3(z0)))), 2'(3(3(z0))), 3'(3(z0)), 3'(z0))
   4'(c_2(c_3(c_0(c_2(c_2(c_4(c_0(c_0(c_3(c_1(c_2(c_0(c_4(c_2(c_0(c_2(c_3(c_3(c_0(z0)))))))))))))))))))) -> c108(2'(2(2(2(4(0(3(0(4(1(2(2(1(3(3(2(0(3(1(0(z0)))))))))))))))))))), 2'(2(2(4(0(3(0(4(1(2(2(1(3(3(2(0(3(1(0(z0))))))))))))))))))), 2'(2(4(0(3(0(4(1(2(2(1(3(3(2(0(3(1(0(z0)))))))))))))))))), 2'(4(0(3(0(4(1(2(2(1(3(3(2(0(3(1(0(z0))))))))))))))))), 4'(0(3(0(4(1(2(2(1(3(3(2(0(3(1(0(z0)))))))))))))))), 0'(3(0(4(1(2(2(1(3(3(2(0(3(1(0(z0))))))))))))))), 3'(0(4(1(2(2(1(3(3(2(0(3(1(0(z0)))))))))))))), 0'(4(1(2(2(1(3(3(2(0(3(1(0(z0))))))))))))), 4'(1(2(2(1(3(3(2(0(3(1(0(z0)))))))))))), 1'(2(2(1(3(3(2(0(3(1(0(z0))))))))))), 2'(2(1(3(3(2(0(3(1(0(z0)))))))))), 2'(1(3(3(2(0(3(1(0(z0))))))))), 1'(3(3(2(0(3(1(0(z0)))))))), 3'(3(2(0(3(1(0(z0))))))), 3'(2(0(3(1(0(z0)))))), 2'(0(3(1(0(z0))))), 0'(3(1(0(z0)))), 3'(1(0(z0))), 1'(0(z0)), 0'(z0))
   4'(c_1(c_1(c_1(c_4(c_2(c_4(c_2(c_0(c_2(c_3(c_3(c_1(c_3(c_0(c_2(c_2(c_0(c_0(c_3(z0)))))))))))))))))))) -> c109(0'(4(2(1(2(2(2(0(4(2(3(3(0(2(1(4(0(1(4(2(z0)))))))))))))))))))), 4'(2(1(2(2(2(0(4(2(3(3(0(2(1(4(0(1(4(2(z0))))))))))))))))))), 2'(1(2(2(2(0(4(2(3(3(0(2(1(4(0(1(4(2(z0)))))))))))))))))), 1'(2(2(2(0(4(2(3(3(0(2(1(4(0(1(4(2(z0))))))))))))))))), 2'(2(2(0(4(2(3(3(0(2(1(4(0(1(4(2(z0)))))))))))))))), 2'(2(0(4(2(3(3(0(2(1(4(0(1(4(2(z0))))))))))))))), 2'(0(4(2(3(3(0(2(1(4(0(1(4(2(z0)))))))))))))), 0'(4(2(3(3(0(2(1(4(0(1(4(2(z0))))))))))))), 4'(2(3(3(0(2(1(4(0(1(4(2(z0)))))))))))), 2'(3(3(0(2(1(4(0(1(4(2(z0))))))))))), 3'(3(0(2(1(4(0(1(4(2(z0)))))))))), 3'(0(2(1(4(0(1(4(2(z0))))))))), 0'(2(1(4(0(1(4(2(z0)))))))), 2'(1(4(0(1(4(2(z0))))))), 1'(4(0(1(4(2(z0)))))), 4'(0(1(4(2(z0))))), 0'(1(4(2(z0)))), 1'(4(2(z0))), 4'(2(z0)), 2'(z0))
   4'(c_0(c_2(c_2(c_4(c_3(c_1(c_3(c_4(c_0(c_0(c_0(c_2(c_2(c_2(c_3(c_0(c_4(c_2(c_4(z0)))))))))))))))))))) -> c110(2'(1(3(3(4(4(1(0(3(2(2(3(0(0(4(3(3(4(2(2(z0)))))))))))))))))))), 1'(3(3(4(4(1(0(3(2(2(3(0(0(4(3(3(4(2(2(z0))))))))))))))))))), 3'(3(4(4(1(0(3(2(2(3(0(0(4(3(3(4(2(2(z0)))))))))))))))))), 3'(4(4(1(0(3(2(2(3(0(0(4(3(3(4(2(2(z0))))))))))))))))), 4'(4(1(0(3(2(2(3(0(0(4(3(3(4(2(2(z0)))))))))))))))), 4'(1(0(3(2(2(3(0(0(4(3(3(4(2(2(z0))))))))))))))), 1'(0(3(2(2(3(0(0(4(3(3(4(2(2(z0)))))))))))))), 0'(3(2(2(3(0(0(4(3(3(4(2(2(z0))))))))))))), 3'(2(2(3(0(0(4(3(3(4(2(2(z0)))))))))))), 2'(2(3(0(0(4(3(3(4(2(2(z0))))))))))), 2'(3(0(0(4(3(3(4(2(2(z0)))))))))), 3'(0(0(4(3(3(4(2(2(z0))))))))), 0'(0(4(3(3(4(2(2(z0)))))))), 0'(4(3(3(4(2(2(z0))))))), 4'(3(3(4(2(2(z0)))))), 3'(3(4(2(2(z0))))), 3'(4(2(2(z0)))), 4'(2(2(z0))), 2'(2(z0)), 2'(z0))
   4'(c_3(c_3(c_3(c_0(c_2(c_1(c_2(c_2(c_3(c_2(c_0(c_1(c_1(c_4(c_1(c_3(c_4(c_2(c_4(z0)))))))))))))))))))) -> c111(3'(4(1(3(3(2(1(2(1(1(0(2(2(0(0(1(1(2(3(2(z0)))))))))))))))))))), 4'(1(3(3(2(1(2(1(1(0(2(2(0(0(1(1(2(3(2(z0))))))))))))))))))), 1'(3(3(2(1(2(1(1(0(2(2(0(0(1(1(2(3(2(z0)))))))))))))))))), 3'(3(2(1(2(1(1(0(2(2(0(0(1(1(2(3(2(z0))))))))))))))))), 3'(2(1(2(1(1(0(2(2(0(0(1(1(2(3(2(z0)))))))))))))))), 2'(1(2(1(1(0(2(2(0(0(1(1(2(3(2(z0))))))))))))))), 1'(2(1(1(0(2(2(0(0(1(1(2(3(2(z0)))))))))))))), 2'(1(1(0(2(2(0(0(1(1(2(3(2(z0))))))))))))), 1'(1(0(2(2(0(0(1(1(2(3(2(z0)))))))))))), 1'(0(2(2(0(0(1(1(2(3(2(z0))))))))))), 0'(2(2(0(0(1(1(2(3(2(z0)))))))))), 2'(2(0(0(1(1(2(3(2(z0))))))))), 2'(0(0(1(1(2(3(2(z0)))))))), 0'(0(1(1(2(3(2(z0))))))), 0'(1(1(2(3(2(z0)))))), 1'(1(2(3(2(z0))))), 1'(2(3(2(z0)))), 2'(3(2(z0))), 3'(2(z0)), 2'(z0))
   4'(c_4(c_4(c_1(c_3(c_3(c_4(c_4(c_2(c_2(c_0(c_1(c_0(c_2(c_4(c_3(c_2(c_2(c_0(c_2(z0)))))))))))))))))))) -> c112(4'(3(2(3(2(2(0(0(1(3(4(2(2(2(4(4(1(2(0(2(z0)))))))))))))))))))), 3'(2(3(2(2(0(0(1(3(4(2(2(2(4(4(1(2(0(2(z0))))))))))))))))))), 2'(3(2(2(0(0(1(3(4(2(2(2(4(4(1(2(0(2(z0)))))))))))))))))), 3'(2(2(0(0(1(3(4(2(2(2(4(4(1(2(0(2(z0))))))))))))))))), 2'(2(0(0(1(3(4(2(2(2(4(4(1(2(0(2(z0)))))))))))))))), 2'(0(0(1(3(4(2(2(2(4(4(1(2(0(2(z0))))))))))))))), 0'(0(1(3(4(2(2(2(4(4(1(2(0(2(z0)))))))))))))), 0'(1(3(4(2(2(2(4(4(1(2(0(2(z0))))))))))))), 1'(3(4(2(2(2(4(4(1(2(0(2(z0)))))))))))), 3'(4(2(2(2(4(4(1(2(0(2(z0))))))))))), 4'(2(2(2(4(4(1(2(0(2(z0)))))))))), 2'(2(2(4(4(1(2(0(2(z0))))))))), 2'(2(4(4(1(2(0(2(z0)))))))), 2'(4(4(1(2(0(2(z0))))))), 4'(4(1(2(0(2(z0)))))), 4'(1(2(0(2(z0))))), 1'(2(0(2(z0)))), 2'(0(2(z0))), 0'(2(z0)), 2'(z0))
   4'(c_0(c_4(c_2(c_2(c_3(c_3(c_2(c_2(c_1(c_2(c_1(c_0(c_1(c_0(c_3(c_2(c_1(c_2(c_0(z0)))))))))))))))))))) -> c113(1'(1(2(2(0(0(4(4(2(3(3(3(2(2(2(0(3(0(0(2(z0)))))))))))))))))))), 1'(2(2(0(0(4(4(2(3(3(3(2(2(2(0(3(0(0(2(z0))))))))))))))))))), 2'(2(0(0(4(4(2(3(3(3(2(2(2(0(3(0(0(2(z0)))))))))))))))))), 2'(0(0(4(4(2(3(3(3(2(2(2(0(3(0(0(2(z0))))))))))))))))), 0'(0(4(4(2(3(3(3(2(2(2(0(3(0(0(2(z0)))))))))))))))), 0'(4(4(2(3(3(3(2(2(2(0(3(0(0(2(z0))))))))))))))), 4'(4(2(3(3(3(2(2(2(0(3(0(0(2(z0)))))))))))))), 4'(2(3(3(3(2(2(2(0(3(0(0(2(z0))))))))))))), 2'(3(3(3(2(2(2(0(3(0(0(2(z0)))))))))))), 3'(3(3(2(2(2(0(3(0(0(2(z0))))))))))), 3'(3(2(2(2(0(3(0(0(2(z0)))))))))), 3'(2(2(2(0(3(0(0(2(z0))))))))), 2'(2(2(0(3(0(0(2(z0)))))))), 2'(2(0(3(0(0(2(z0))))))), 2'(0(3(0(0(2(z0)))))), 0'(3(0(0(2(z0))))), 3'(0(0(2(z0)))), 0'(0(2(z0))), 0'(2(z0)), 2'(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, c29_20, c30_20, c31_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, c64_20, c65_20, c66_20, c67_20, c68_20, c69_20, c70_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_20, c90_20, c91_20, c92_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_1(c_4(c_2(c_2(c_0(c_3(c_2(c_0(c_4(c_1(c_3(c_2(c_0(c_0(c_3(c_2(c_3(c_0(c_2(z0)))))))))))))))))))) -> 2(4(2(1(2(2(3(0(2(0(1(2(2(0(1(2(0(0(4(2(z0))))))))))))))))))))
   0(c_0(c_2(c_1(c_0(c_3(c_1(c_3(c_1(c_3(c_3(c_3(c_2(c_4(c_0(c_0(c_1(c_2(c_0(c_4(z0)))))))))))))))))))) -> 4(4(1(4(4(3(2(1(1(0(2(2(1(2(1(0(3(4(2(2(z0))))))))))))))))))))
   0(c_3(c_2(c_0(c_4(c_2(c_0(c_1(c_1(c_3(c_2(c_3(c_4(c_4(c_1(c_2(c_4(c_2(c_4(c_2(z0)))))))))))))))))))) -> 2(2(4(3(4(2(3(4(1(2(1(0(0(2(0(4(1(4(2(2(z0))))))))))))))))))))
   0(c_1(c_4(c_3(c_2(c_3(c_0(c_1(c_2(c_4(c_0(c_3(c_4(c_2(c_0(c_0(c_3(c_2(c_4(c_2(z0)))))))))))))))))))) -> 2(1(3(0(0(1(4(3(1(3(2(2(2(1(3(0(2(0(0(2(z0))))))))))))))))))))
   0(c_3(c_3(c_2(c_4(c_1(c_0(c_0(c_1(c_2(c_0(c_4(c_3(c_3(c_4(c_4(c_4(c_3(c_1(c_2(z0)))))))))))))))))))) -> 4(1(2(2(2(2(4(4(2(0(3(2(1(0(4(4(1(4(2(0(z0))))))))))))))))))))
   0(c_4(c_4(c_2(c_3(c_2(c_1(c_2(c_2(c_1(c_4(c_1(c_1(c_1(c_4(c_2(c_2(c_1(c_2(c_0(z0)))))))))))))))))))) -> 3(0(0(1(4(1(2(3(3(4(2(1(1(3(2(2(1(3(2(4(z0))))))))))))))))))))
   0(c_0(c_0(c_2(c_1(c_1(c_2(c_2(c_1(c_3(c_0(c_0(c_4(c_3(c_4(c_3(c_4(c_1(c_2(c_1(z0)))))))))))))))))))) -> 0(0(0(1(2(2(2(0(4(1(4(1(2(4(3(3(1(0(3(3(z0))))))))))))))))))))
   0(c_0(c_2(c_3(c_1(c_4(c_2(c_1(c_4(c_2(c_0(c_1(c_4(c_2(c_2(c_1(c_1(c_2(c_4(c_4(z0)))))))))))))))))))) -> 1(1(2(3(3(4(4(4(2(3(2(2(1(2(0(1(2(0(4(4(z0))))))))))))))))))))
   0(c_2(c_3(c_0(c_4(c_2(c_3(c_1(c_3(c_4(c_0(c_3(c_4(c_2(c_1(c_3(c_2(c_3(c_4(c_0(z0)))))))))))))))))))) -> 4(1(2(0(3(0(1(2(3(0(2(1(3(2(0(3(0(2(4(0(z0))))))))))))))))))))
   0(c_2(c_1(c_1(c_2(c_1(c_4(c_1(c_2(c_2(c_4(c_0(c_0(c_3(c_3(c_3(c_2(c_2(c_1(c_0(z0)))))))))))))))))))) -> 4(3(3(0(2(3(4(2(4(1(2(1(4(3(4(3(3(2(2(3(z0))))))))))))))))))))
   0(c_2(c_1(c_3(c_0(c_0(c_4(c_4(c_4(c_0(c_0(c_3(c_2(c_1(c_2(c_4(c_0(c_1(c_2(c_2(z0)))))))))))))))))))) -> 0(4(0(0(2(3(0(4(1(2(3(0(3(0(1(4(2(2(3(3(z0))))))))))))))))))))
   0(c_0(c_0(c_0(c_1(c_2(c_2(c_3(c_3(c_2(c_0(c_0(c_0(c_4(c_2(c_0(c_1(c_2(c_4(c_2(z0)))))))))))))))))))) -> 1(1(1(3(0(3(0(2(3(2(2(4(1(2(3(4(1(2(2(4(z0))))))))))))))))))))
   0(c_4(c_2(c_2(c_0(c_2(c_3(c_3(c_4(c_1(c_3(c_2(c_4(c_0(c_2(c_1(c_1(c_4(c_3(c_2(z0)))))))))))))))))))) -> 2(4(3(3(0(3(1(2(3(3(4(2(0(0(4(2(0(1(2(2(z0))))))))))))))))))))
   0(c_2(c_4(c_2(c_1(c_2(c_3(c_0(c_1(c_2(c_0(c_3(c_0(c_4(c_1(c_0(c_2(c_0(c_2(c_0(z0)))))))))))))))))))) -> 3(2(3(1(0(1(2(0(2(2(3(2(0(4(4(2(0(4(4(2(z0))))))))))))))))))))
   0(c_1(c_2(c_0(c_1(c_4(c_4(c_0(c_3(c_0(c_2(c_3(c_0(c_0(c_3(c_3(c_0(c_2(c_3(c_2(z0)))))))))))))))))))) -> 1(3(3(2(4(2(1(2(1(2(0(2(0(3(2(2(4(0(3(3(z0))))))))))))))))))))
   0(c_2(c_2(c_1(c_2(c_0(c_3(c_1(c_2(c_2(c_4(c_1(c_2(c_0(c_2(c_4(c_0(c_1(c_0(c_3(z0)))))))))))))))))))) -> 2(4(3(0(3(0(2(3(0(4(2(2(2(3(3(2(4(3(1(1(z0))))))))))))))))))))
   0(c_4(c_2(c_0(c_0(c_3(c_2(c_1(c_0(c_1(c_3(c_1(c_2(c_4(c_4(c_0(c_2(c_3(c_2(c_2(z0)))))))))))))))))))) -> 2(1(2(2(3(3(2(0(4(4(3(3(1(0(0(3(4(2(2(4(z0))))))))))))))))))))
   1(z0) -> c_1(z0)
   1(c_3(c_3(c_4(c_4(c_2(c_3(c_1(c_3(c_3(c_0(c_3(c_4(c_2(c_2(c_4(c_2(c_2(c_4(c_4(z0)))))))))))))))))))) -> 0(4(2(4(3(3(2(1(4(2(4(4(3(2(2(3(1(2(2(0(z0))))))))))))))))))))
   1(c_0(c_0(c_1(c_2(c_3(c_4(c_2(c_0(c_4(c_4(c_2(c_2(c_4(c_1(c_2(c_2(c_2(c_4(c_4(z0)))))))))))))))))))) -> 2(4(3(0(2(0(3(1(2(1(1(2(2(3(0(2(4(3(1(3(z0))))))))))))))))))))
   1(c_0(c_0(c_3(c_1(c_4(c_2(c_1(c_2(c_2(c_2(c_2(c_2(c_3(c_0(c_1(c_4(c_2(c_0(c_4(z0)))))))))))))))))))) -> 2(4(4(0(3(3(0(3(3(3(2(4(2(2(0(0(0(0(3(3(z0))))))))))))))))))))
   1(c_1(c_1(c_1(c_2(c_4(c_4(c_3(c_0(c_2(c_3(c_3(c_1(c_3(c_0(c_1(c_4(c_2(c_2(c_3(z0)))))))))))))))))))) -> 3(4(2(1(1(0(1(2(1(4(4(2(3(3(4(2(1(2(3(2(z0))))))))))))))))))))
   1(c_0(c_0(c_4(c_0(c_0(c_2(c_3(c_2(c_2(c_3(c_3(c_1(c_3(c_4(c_3(c_2(c_2(c_1(c_1(z0)))))))))))))))))))) -> 1(2(2(2(0(0(2(2(3(0(4(4(2(1(4(2(2(2(4(1(z0))))))))))))))))))))
   1(c_1(c_2(c_0(c_4(c_1(c_3(c_1(c_2(c_2(c_0(c_4(c_0(c_2(c_3(c_4(c_4(c_0(c_2(c_3(z0)))))))))))))))))))) -> 1(0(2(2(4(0(3(1(0(0(3(0(2(1(1(2(2(3(1(0(z0))))))))))))))))))))
   1(c_3(c_2(c_3(c_1(c_0(c_3(c_3(c_0(c_1(c_2(c_0(c_2(c_2(c_2(c_0(c_1(c_3(c_1(c_0(z0)))))))))))))))))))) -> 3(3(4(3(1(2(2(4(4(0(2(2(2(2(0(0(2(0(1(4(z0))))))))))))))))))))
   1(c_1(c_2(c_1(c_3(c_4(c_0(c_2(c_2(c_3(c_3(c_3(c_3(c_0(c_1(c_0(c_4(c_3(c_0(c_2(z0)))))))))))))))))))) -> 3(2(1(4(2(2(3(4(2(3(1(4(2(3(0(3(3(4(0(3(z0))))))))))))))))))))
   1(c_1(c_3(c_3(c_1(c_1(c_3(c_2(c_3(c_2(c_0(c_4(c_2(c_0(c_2(c_1(c_1(c_0(c_4(c_1(z0)))))))))))))))))))) -> 2(3(4(2(0(0(0(0(3(1(2(2(4(1(2(3(1(0(4(4(z0))))))))))))))))))))
   1(c_3(c_1(c_4(c_0(c_1(c_4(c_3(c_0(c_4(c_2(c_1(c_0(c_0(c_1(c_2(c_3(c_2(c_2(c_3(z0)))))))))))))))))))) -> 0(4(0(3(0(3(0(3(2(0(1(0(0(2(1(3(2(1(2(0(z0))))))))))))))))))))
   1(c_0(c_2(c_1(c_1(c_1(c_2(c_0(c_0(c_2(c_1(c_3(c_3(c_3(c_1(c_4(c_1(c_0(c_0(c_1(z0)))))))))))))))))))) -> 2(2(1(0(1(4(3(2(3(0(0(0(4(3(2(1(1(2(0(2(z0))))))))))))))))))))
   1(c_0(c_4(c_0(c_1(c_3(c_0(c_2(c_3(c_2(c_1(c_2(c_3(c_2(c_4(c_2(c_4(c_3(c_4(c_2(z0)))))))))))))))))))) -> 2(3(0(2(0(2(2(2(3(4(1(0(2(3(1(2(1(2(4(2(z0))))))))))))))))))))
   1(c_4(c_4(c_2(c_3(c_1(c_2(c_3(c_3(c_1(c_0(c_1(c_3(c_2(c_1(c_2(c_1(c_2(c_2(c_2(z0)))))))))))))))))))) -> 2(0(2(0(2(0(2(0(4(2(4(2(3(2(3(1(2(2(2(1(z0))))))))))))))))))))
   1(c_1(c_0(c_0(c_1(c_3(c_2(c_4(c_3(c_1(c_4(c_0(c_4(c_1(c_2(c_2(c_2(c_3(c_3(c_2(z0)))))))))))))))))))) -> 3(1(4(3(1(0(3(4(0(3(2(2(4(0(2(3(3(2(2(0(z0))))))))))))))))))))
   2(z0) -> c_2(z0)
   2(c_1(c_3(c_4(c_1(c_0(c_3(c_2(c_0(c_3(c_0(c_1(c_1(c_4(c_0(c_0(c_2(c_4(c_4(c_1(z0)))))))))))))))))))) -> 3(0(3(2(1(4(1(4(0(0(2(2(0(1(1(0(4(1(2(1(z0))))))))))))))))))))
   2(c_1(c_4(c_4(c_0(c_1(c_2(c_0(c_2(c_3(c_0(c_2(c_1(c_2(c_3(c_0(c_2(c_3(c_1(c_3(z0)))))))))))))))))))) -> 0(3(2(3(2(3(0(2(2(0(2(3(1(3(3(3(1(2(4(2(z0))))))))))))))))))))
   2(c_3(c_4(c_4(c_4(c_3(c_0(c_0(c_2(c_3(c_4(c_3(c_0(c_4(c_3(c_0(c_1(c_2(c_4(c_2(z0)))))))))))))))))))) -> 3(3(2(0(4(0(2(4(2(3(2(2(4(4(0(4(0(3(4(1(z0))))))))))))))))))))
   2(c_0(c_3(c_2(c_0(c_3(c_2(c_4(c_1(c_2(c_3(c_1(c_4(c_1(c_3(c_3(c_3(c_0(c_1(c_3(z0)))))))))))))))))))) -> 3(0(3(2(1(1(1(3(4(0(3(2(0(2(2(3(2(0(3(2(z0))))))))))))))))))))
   2(c_4(c_2(c_2(c_1(c_2(c_4(c_2(c_3(c_0(c_1(c_0(c_2(c_1(c_2(c_0(c_0(c_0(c_4(c_0(z0)))))))))))))))))))) -> 2(3(0(2(0(3(0(2(1(0(4(2(2(1(3(1(3(0(4(3(z0))))))))))))))))))))
   2(c_3(c_1(c_2(c_3(c_3(c_3(c_1(c_1(c_1(c_0(c_1(c_2(c_4(c_0(c_4(c_2(c_1(c_2(c_2(z0)))))))))))))))))))) -> 2(2(0(1(4(3(2(2(4(3(0(2(4(3(2(0(0(1(0(2(z0))))))))))))))))))))
   2(c_4(c_0(c_3(c_1(c_2(c_1(c_1(c_2(c_0(c_2(c_2(c_0(c_3(c_2(c_1(c_1(c_0(c_1(c_3(z0)))))))))))))))))))) -> 2(3(3(1(3(1(2(1(1(0(2(0(0(2(3(3(0(3(3(3(z0))))))))))))))))))))
   2(c_4(c_3(c_2(c_0(c_2(c_4(c_1(c_2(c_0(c_4(c_1(c_2(c_3(c_1(c_2(c_3(c_4(c_1(c_1(z0)))))))))))))))))))) -> 2(0(1(1(2(2(4(3(2(2(1(3(0(1(2(3(0(4(4(4(z0))))))))))))))))))))
   2(c_0(c_0(c_0(c_2(c_2(c_3(c_1(c_3(c_1(c_0(c_4(c_3(c_3(c_0(c_2(c_4(c_1(c_0(c_3(z0)))))))))))))))))))) -> 4(0(3(4(3(4(0(0(2(2(2(1(2(2(2(1(1(2(0(4(z0))))))))))))))))))))
   2(c_4(c_3(c_2(c_2(c_4(c_0(c_3(c_2(c_4(c_3(c_1(c_0(c_4(c_4(c_3(c_3(c_2(c_2(c_1(z0)))))))))))))))))))) -> 3(4(3(0(2(2(2(4(3(2(0(3(0(3(2(0(3(0(4(2(z0))))))))))))))))))))
   2(c_3(c_0(c_1(c_3(c_3(c_4(c_2(c_1(c_4(c_4(c_2(c_3(c_1(c_1(c_1(c_2(c_3(c_0(c_2(z0)))))))))))))))))))) -> 2(2(3(0(4(4(0(0(1(3(3(0(4(3(4(2(2(4(3(2(z0))))))))))))))))))))
   2(c_4(c_0(c_0(c_3(c_2(c_2(c_2(c_1(c_1(c_4(c_0(c_1(c_2(c_2(c_3(c_4(c_2(c_3(c_4(z0)))))))))))))))))))) -> 3(1(3(2(2(4(0(3(2(1(0(0(2(3(3(3(2(3(4(3(z0))))))))))))))))))))
   2(c_0(c_4(c_2(c_2(c_3(c_4(c_0(c_1(c_0(c_3(c_2(c_1(c_3(c_0(c_3(c_1(c_1(c_3(c_0(z0)))))))))))))))))))) -> 0(3(0(1(2(2(2(0(0(3(3(2(1(1(0(4(2(1(2(4(z0))))))))))))))))))))
   2(c_3(c_4(c_0(c_0(c_4(c_3(c_3(c_2(c_3(c_4(c_0(c_2(c_0(c_4(c_4(c_0(c_2(c_4(c_2(z0)))))))))))))))))))) -> 1(3(1(3(3(2(0(2(2(3(0(1(2(2(2(4(1(2(1(1(z0))))))))))))))))))))
   2(c_1(c_3(c_2(c_2(c_0(c_4(c_4(c_0(c_4(c_1(c_2(c_3(c_3(c_0(c_2(c_1(c_4(c_4(c_4(z0)))))))))))))))))))) -> 4(3(2(3(2(2(2(1(4(1(2(2(0(1(1(1(0(0(3(4(z0))))))))))))))))))))
   2(c_0(c_3(c_4(c_1(c_2(c_0(c_2(c_3(c_3(c_1(c_2(c_0(c_1(c_2(c_0(c_4(c_4(c_4(c_2(z0)))))))))))))))))))) -> 2(2(2(4(3(2(0(1(4(1(2(3(0(3(1(3(3(1(2(4(z0))))))))))))))))))))
   2(c_0(c_2(c_1(c_1(c_0(c_1(c_0(c_2(c_2(c_0(c_1(c_2(c_0(c_2(c_4(c_0(c_1(c_2(c_0(z0)))))))))))))))))))) -> 3(0(2(4(1(2(0(4(2(1(3(0(2(3(4(2(3(3(4(0(z0))))))))))))))))))))
   2(c_4(c_4(c_4(c_2(c_2(c_2(c_0(c_4(c_3(c_4(c_3(c_4(c_2(c_3(c_1(c_4(c_3(c_1(c_3(z0)))))))))))))))))))) -> 2(3(4(2(1(1(1(3(2(3(0(2(4(1(2(0(2(1(1(4(z0))))))))))))))))))))
   2(c_3(c_1(c_1(c_3(c_2(c_1(c_1(c_1(c_3(c_2(c_3(c_4(c_2(c_2(c_3(c_4(c_3(c_3(c_0(z0)))))))))))))))))))) -> 0(4(4(2(4(0(2(3(2(0(2(1(2(4(4(3(2(3(2(2(z0))))))))))))))))))))
   2(c_0(c_2(c_4(c_2(c_2(c_2(c_4(c_3(c_0(c_0(c_1(c_0(c_1(c_0(c_3(c_0(c_3(c_2(c_4(z0)))))))))))))))))))) -> 0(3(0(2(2(0(2(1(3(2(3(3(0(2(0(4(3(3(3(2(z0))))))))))))))))))))
   2(c_4(c_1(c_3(c_2(c_2(c_1(c_4(c_2(c_1(c_1(c_1(c_2(c_2(c_2(c_0(c_3(c_0(c_2(c_4(z0)))))))))))))))))))) -> 3(3(1(4(3(2(3(2(2(3(2(1(1(0(3(3(3(4(0(2(z0))))))))))))))))))))
   2(c_0(c_0(c_0(c_3(c_1(c_0(c_2(c_4(c_2(c_2(c_2(c_4(c_0(c_4(c_0(c_1(c_0(c_3(c_4(z0)))))))))))))))))))) -> 1(4(2(4(4(4(4(3(2(4(4(3(2(2(0(0(4(1(2(2(z0))))))))))))))))))))
   2(c_3(c_3(c_3(c_0(c_0(c_1(c_0(c_2(c_4(c_3(c_1(c_1(c_3(c_2(c_1(c_2(c_2(c_2(c_1(z0)))))))))))))))))))) -> 3(4(2(2(0(0(0(0(2(4(2(3(2(0(3(2(3(0(2(3(z0))))))))))))))))))))
   2(c_1(c_4(c_1(c_3(c_4(c_3(c_2(c_2(c_0(c_1(c_0(c_2(c_1(c_0(c_3(c_4(c_2(c_4(c_2(z0)))))))))))))))))))) -> 4(2(2(2(3(3(4(1(4(0(2(3(2(1(0(3(2(3(3(4(z0))))))))))))))))))))
   2(c_4(c_2(c_2(c_1(c_1(c_2(c_3(c_0(c_1(c_0(c_0(c_3(c_2(c_1(c_0(c_0(c_1(c_0(c_2(z0)))))))))))))))))))) -> 2(2(2(3(3(4(1(4(3(0(0(2(0(1(1(2(3(0(2(4(z0))))))))))))))))))))
   2(c_4(c_0(c_0(c_4(c_2(c_1(c_3(c_3(c_3(c_2(c_0(c_4(c_1(c_4(c_0(c_2(c_1(c_3(c_2(z0)))))))))))))))))))) -> 0(4(2(4(0(3(2(1(2(4(2(2(3(1(0(1(2(3(3(2(z0))))))))))))))))))))
   2(c_0(c_4(c_2(c_1(c_3(c_4(c_4(c_2(c_1(c_0(c_3(c_2(c_1(c_3(c_2(c_1(c_4(c_2(c_4(z0)))))))))))))))))))) -> 0(2(4(2(2(2(0(2(4(3(3(2(3(3(4(1(0(3(0(4(z0))))))))))))))))))))
   3(z0) -> c_3(z0)
   3(c_0(c_1(c_4(c_2(c_2(c_3(c_4(c_4(c_3(c_0(c_2(c_1(c_4(c_1(c_0(c_1(c_0(c_2(c_3(z0)))))))))))))))))))) -> 4(2(0(4(1(1(2(0(2(4(0(3(4(4(3(2(0(3(3(2(z0))))))))))))))))))))
   3(c_1(c_1(c_1(c_2(c_0(c_1(c_3(c_3(c_2(c_1(c_3(c_4(c_1(c_2(c_2(c_3(c_3(c_2(c_3(z0)))))))))))))))))))) -> 2(3(2(2(4(3(4(2(3(1(2(2(4(2(3(0(4(3(0(3(z0))))))))))))))))))))
   3(c_2(c_2(c_3(c_4(c_3(c_2(c_2(c_0(c_4(c_1(c_4(c_3(c_4(c_2(c_1(c_4(c_1(c_0(c_2(z0)))))))))))))))))))) -> 2(1(3(3(3(2(2(4(0(4(0(4(2(0(2(1(3(3(3(3(z0))))))))))))))))))))
   3(c_3(c_2(c_4(c_3(c_0(c_2(c_1(c_4(c_3(c_3(c_4(c_4(c_1(c_1(c_4(c_3(c_3(c_2(c_2(z0)))))))))))))))))))) -> 4(1(2(3(2(0(3(3(0(3(2(3(1(1(2(0(1(0(2(2(z0))))))))))))))))))))
   3(c_1(c_4(c_3(c_4(c_2(c_1(c_1(c_1(c_4(c_3(c_1(c_3(c_2(c_2(c_4(c_2(c_2(c_1(c_1(z0)))))))))))))))))))) -> 2(1(2(4(2(4(1(4(2(1(4(0(0(1(2(3(3(2(1(3(z0))))))))))))))))))))
   3(c_3(c_0(c_4(c_4(c_1(c_0(c_2(c_3(c_2(c_1(c_2(c_2(c_3(c_3(c_1(c_0(c_2(c_4(c_1(z0)))))))))))))))))))) -> 4(2(1(2(3(3(3(3(0(2(0(3(0(2(3(1(2(1(1(0(z0))))))))))))))))))))
   3(c_1(c_1(c_0(c_0(c_2(c_2(c_4(c_2(c_2(c_2(c_2(c_1(c_2(c_2(c_1(c_1(c_1(c_1(c_4(z0)))))))))))))))))))) -> 4(2(1(4(1(3(2(2(4(4(2(3(3(3(3(2(4(3(2(3(z0))))))))))))))))))))
   3(c_0(c_0(c_1(c_0(c_2(c_3(c_3(c_2(c_0(c_2(c_1(c_1(c_0(c_4(c_3(c_2(c_0(c_4(c_2(z0)))))))))))))))))))) -> 1(0(0(2(1(4(4(0(2(3(0(2(4(4(2(3(2(4(0(2(z0))))))))))))))))))))
   3(c_2(c_3(c_2(c_2(c_0(c_0(c_4(c_1(c_0(c_0(c_4(c_0(c_3(c_3(c_2(c_2(c_1(c_0(c_3(z0)))))))))))))))))))) -> 1(3(1(2(0(4(0(3(2(4(3(0(2(1(2(2(1(2(2(3(z0))))))))))))))))))))
   3(c_4(c_4(c_4(c_3(c_1(c_4(c_3(c_0(c_2(c_2(c_0(c_4(c_4(c_1(c_3(c_3(c_3(c_2(c_2(z0)))))))))))))))))))) -> 4(2(2(3(0(0(3(1(1(1(4(4(3(0(3(2(1(0(2(2(z0))))))))))))))))))))
   3(c_0(c_1(c_0(c_2(c_2(c_3(c_1(c_2(c_1(c_1(c_1(c_0(c_0(c_2(c_2(c_1(c_3(c_1(c_3(z0)))))))))))))))))))) -> 3(1(4(1(2(1(0(3(2(0(0(1(0(2(4(0(2(2(3(2(z0))))))))))))))))))))
   3(c_3(c_1(c_0(c_2(c_4(c_2(c_3(c_1(c_0(c_2(c_4(c_4(c_4(c_0(c_0(c_2(c_1(c_1(c_2(z0)))))))))))))))))))) -> 2(4(2(3(2(3(4(0(4(2(4(3(1(0(1(2(0(3(2(0(z0))))))))))))))))))))
   3(c_2(c_0(c_3(c_2(c_4(c_4(c_2(c_2(c_2(c_0(c_1(c_2(c_2(c_3(c_4(c_0(c_2(c_4(c_1(z0)))))))))))))))))))) -> 0(0(2(3(0(2(1(2(2(2(3(2(1(3(4(3(4(2(2(2(z0))))))))))))))))))))
   3(c_3(c_3(c_0(c_2(c_0(c_2(c_2(c_1(c_0(c_0(c_4(c_4(c_2(c_0(c_2(c_3(c_0(c_2(c_4(z0)))))))))))))))))))) -> 2(3(3(2(4(3(4(2(3(3(1(0(1(2(4(3(0(3(3(2(z0))))))))))))))))))))
   3(c_0(c_1(c_4(c_3(c_1(c_2(c_0(c_3(c_2(c_3(c_2(c_2(c_0(c_2(c_2(c_3(c_1(c_2(c_2(z0)))))))))))))))))))) -> 0(2(2(3(0(2(0(3(1(3(1(2(2(2(3(2(2(0(4(2(z0))))))))))))))))))))
   3(c_4(c_2(c_1(c_4(c_1(c_0(c_2(c_4(c_3(c_3(c_4(c_3(c_3(c_1(c_2(c_2(c_3(c_3(c_3(z0)))))))))))))))))))) -> 4(2(0(1(2(0(2(0(0(2(1(4(0(3(2(2(3(2(2(4(z0))))))))))))))))))))
   3(c_1(c_0(c_3(c_2(c_2(c_1(c_1(c_4(c_4(c_0(c_2(c_2(c_4(c_3(c_2(c_2(c_3(c_4(c_2(z0)))))))))))))))))))) -> 2(0(4(3(3(2(2(2(4(0(4(3(2(2(2(0(3(0(4(2(z0))))))))))))))))))))
   3(c_0(c_1(c_3(c_2(c_0(c_1(c_3(c_4(c_2(c_3(c_1(c_2(c_2(c_1(c_2(c_3(c_1(c_3(c_1(z0)))))))))))))))))))) -> 2(3(2(3(0(2(1(2(2(4(3(3(3(2(1(0(1(3(2(2(z0))))))))))))))))))))
   3(c_0(c_2(c_4(c_0(c_4(c_0(c_1(c_2(c_1(c_4(c_3(c_0(c_4(c_3(c_0(c_3(c_3(c_3(c_2(z0)))))))))))))))))))) -> 1(0(4(3(1(4(2(3(3(4(3(0(0(2(2(3(4(0(4(2(z0))))))))))))))))))))
   3(c_2(c_0(c_3(c_4(c_4(c_4(c_1(c_0(c_2(c_2(c_1(c_4(c_0(c_0(c_4(c_3(c_2(c_3(c_1(z0)))))))))))))))))))) -> 0(4(0(3(4(2(0(3(1(3(3(1(1(0(3(2(2(3(0(3(z0))))))))))))))))))))
   3(c_0(c_3(c_2(c_0(c_0(c_2(c_2(c_3(c_0(c_0(c_4(c_3(c_4(c_2(c_4(c_2(c_3(c_3(c_3(z0)))))))))))))))))))) -> 3(0(0(1(3(2(2(2(3(3(2(0(1(2(3(3(4(2(2(4(z0))))))))))))))))))))
   4(z0) -> c_4(z0)
   4(c_1(c_4(c_3(c_1(c_0(c_4(c_4(c_1(c_3(c_3(c_2(c_2(c_1(c_2(c_2(c_3(c_2(c_0(c_0(z0)))))))))))))))))))) -> 2(2(4(4(3(3(2(1(4(4(3(2(3(4(1(2(1(1(3(0(z0))))))))))))))))))))
   4(c_1(c_2(c_3(c_2(c_0(c_0(c_1(c_0(c_2(c_3(c_1(c_3(c_2(c_3(c_1(c_0(c_1(c_4(c_2(z0)))))))))))))))))))) -> 1(1(1(0(2(3(0(3(3(2(4(3(3(2(0(2(1(2(3(3(z0))))))))))))))))))))
   4(c_3(c_0(c_3(c_4(c_3(c_3(c_0(c_1(c_3(c_2(c_3(c_3(c_4(c_3(c_0(c_0(c_3(c_4(c_2(z0)))))))))))))))))))) -> 1(1(0(4(0(0(0(2(4(0(2(2(3(2(3(3(0(4(3(2(z0))))))))))))))))))))
   4(c_3(c_2(c_0(c_0(c_3(c_4(c_2(c_0(c_3(c_0(c_1(c_0(c_1(c_1(c_4(c_0(c_2(c_2(c_4(z0)))))))))))))))))))) -> 4(1(2(2(4(4(2(1(4(3(2(0(0(0(2(4(1(2(0(3(z0))))))))))))))))))))
   4(c_0(c_3(c_2(c_0(c_3(c_3(c_2(c_3(c_1(c_4(c_3(c_2(c_2(c_3(c_1(c_3(c_1(c_0(c_4(z0)))))))))))))))))))) -> 0(0(0(2(1(3(3(4(2(4(3(3(2(4(2(3(3(0(0(3(z0))))))))))))))))))))
   4(c_4(c_0(c_3(c_0(c_1(c_3(c_2(c_2(c_2(c_3(c_1(c_0(c_2(c_3(c_3(c_0(c_2(c_4(c_4(z0)))))))))))))))))))) -> 2(1(3(2(2(2(4(0(3(2(2(2(2(2(0(3(0(2(0(3(z0))))))))))))))))))))
   4(c_4(c_4(c_4(c_3(c_2(c_0(c_3(c_2(c_4(c_2(c_4(c_1(c_2(c_1(c_4(c_2(c_3(c_0(c_0(z0)))))))))))))))))))) -> 3(4(2(3(3(2(2(1(3(4(2(3(1(4(4(3(1(1(3(3(z0))))))))))))))))))))
   4(c_0(c_2(c_3(c_1(c_1(c_2(c_3(c_1(c_1(c_2(c_0(c_4(c_3(c_0(c_2(c_3(c_2(c_3(c_3(z0)))))))))))))))))))) -> 2(2(4(2(2(3(0(2(4(2(3(1(3(2(2(3(4(1(0(2(z0))))))))))))))))))))
   4(c_3(c_0(c_3(c_2(c_0(c_2(c_2(c_3(c_1(c_0(c_2(c_0(c_0(c_2(c_3(c_1(c_3(c_4(c_4(z0)))))))))))))))))))) -> 1(4(0(3(3(2(2(2(0(2(3(1(2(3(3(0(3(1(0(1(z0))))))))))))))))))))
   4(c_2(c_4(c_0(c_2(c_3(c_1(c_0(c_2(c_1(c_2(c_2(c_4(c_1(c_4(c_3(c_1(c_0(c_3(c_2(z0)))))))))))))))))))) -> 1(3(0(2(3(2(0(0(0(3(3(2(4(4(3(3(2(4(3(0(z0))))))))))))))))))))
   4(c_2(c_3(c_2(c_2(c_0(c_0(c_4(c_0(c_2(c_0(c_1(c_3(c_0(c_2(c_1(c_0(c_1(c_2(c_4(z0)))))))))))))))))))) -> 1(0(2(0(4(3(4(3(0(3(2(2(4(0(2(1(2(2(4(2(z0))))))))))))))))))))
   4(c_4(c_0(c_3(c_0(c_4(c_2(c_4(c_2(c_3(c_0(c_2(c_2(c_0(c_4(c_3(c_3(c_4(c_2(c_2(z0)))))))))))))))))))) -> 2(3(3(1(0(2(2(3(1(4(0(0(1(2(2(0(4(4(2(2(z0))))))))))))))))))))
   4(c_0(c_0(c_0(c_0(c_4(c_2(c_1(c_1(c_1(c_1(c_3(c_2(c_4(c_0(c_0(c_3(c_2(c_4(c_1(z0)))))))))))))))))))) -> 2(1(2(2(0(2(4(3(1(0(4(1(4(0(3(4(1(3(4(4(z0))))))))))))))))))))
   4(c_4(c_2(c_2(c_0(c_0(c_3(c_0(c_3(c_1(c_2(c_3(c_3(c_1(c_2(c_2(c_2(c_4(c_4(c_4(z0)))))))))))))))))))) -> 4(2(3(0(2(2(0(2(2(4(3(1(1(4(4(2(4(2(3(3(z0))))))))))))))))))))
   4(c_2(c_3(c_0(c_2(c_2(c_4(c_0(c_0(c_3(c_1(c_2(c_0(c_4(c_2(c_0(c_2(c_3(c_3(c_0(z0)))))))))))))))))))) -> 2(2(2(2(4(0(3(0(4(1(2(2(1(3(3(2(0(3(1(0(z0))))))))))))))))))))
   4(c_1(c_1(c_1(c_4(c_2(c_4(c_2(c_0(c_2(c_3(c_3(c_1(c_3(c_0(c_2(c_2(c_0(c_0(c_3(z0)))))))))))))))))))) -> 0(4(2(1(2(2(2(0(4(2(3(3(0(2(1(4(0(1(4(2(z0))))))))))))))))))))
   4(c_0(c_2(c_2(c_4(c_3(c_1(c_3(c_4(c_0(c_0(c_0(c_2(c_2(c_2(c_3(c_0(c_4(c_2(c_4(z0)))))))))))))))))))) -> 2(1(3(3(4(4(1(0(3(2(2(3(0(0(4(3(3(4(2(2(z0))))))))))))))))))))
   4(c_3(c_3(c_3(c_0(c_2(c_1(c_2(c_2(c_3(c_2(c_0(c_1(c_1(c_4(c_1(c_3(c_4(c_2(c_4(z0)))))))))))))))))))) -> 3(4(1(3(3(2(1(2(1(1(0(2(2(0(0(1(1(2(3(2(z0))))))))))))))))))))
   4(c_4(c_4(c_1(c_3(c_3(c_4(c_4(c_2(c_2(c_0(c_1(c_0(c_2(c_4(c_3(c_2(c_2(c_0(c_2(z0)))))))))))))))))))) -> 4(3(2(3(2(2(0(0(1(3(4(2(2(2(4(4(1(2(0(2(z0))))))))))))))))))))
   4(c_0(c_4(c_2(c_2(c_3(c_3(c_2(c_2(c_1(c_2(c_1(c_0(c_1(c_0(c_3(c_2(c_1(c_2(c_0(z0)))))))))))))))))))) -> 1(1(2(2(0(0(4(4(2(3(3(3(2(2(2(0(3(0(0(2(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_1(c_4(c_2(c_2(c_0(c_3(c_2(c_0(c_4(c_1(c_3(c_2(c_0(c_0(c_3(c_2(c_3(c_0(c_2(z0)))))))))))))))))))) -> c11(2'(4(2(1(2(2(3(0(2(0(1(2(2(0(1(2(0(0(4(2(z0)))))))))))))))))))), 4'(2(1(2(2(3(0(2(0(1(2(2(0(1(2(0(0(4(2(z0))))))))))))))))))), 2'(1(2(2(3(0(2(0(1(2(2(0(1(2(0(0(4(2(z0)))))))))))))))))), 1'(2(2(3(0(2(0(1(2(2(0(1(2(0(0(4(2(z0))))))))))))))))), 2'(2(3(0(2(0(1(2(2(0(1(2(0(0(4(2(z0)))))))))))))))), 2'(3(0(2(0(1(2(2(0(1(2(0(0(4(2(z0))))))))))))))), 3'(0(2(0(1(2(2(0(1(2(0(0(4(2(z0)))))))))))))), 0'(2(0(1(2(2(0(1(2(0(0(4(2(z0))))))))))))), 2'(0(1(2(2(0(1(2(0(0(4(2(z0)))))))))))), 0'(1(2(2(0(1(2(0(0(4(2(z0))))))))))), 1'(2(2(0(1(2(0(0(4(2(z0)))))))))), 2'(2(0(1(2(0(0(4(2(z0))))))))), 2'(0(1(2(0(0(4(2(z0)))))))), 0'(1(2(0(0(4(2(z0))))))), 1'(2(0(0(4(2(z0)))))), 2'(0(0(4(2(z0))))), 0'(0(4(2(z0)))), 0'(4(2(z0))), 4'(2(z0)), 2'(z0))
   0'(c_0(c_2(c_1(c_0(c_3(c_1(c_3(c_1(c_3(c_3(c_3(c_2(c_4(c_0(c_0(c_1(c_2(c_0(c_4(z0)))))))))))))))))))) -> c12(4'(4(1(4(4(3(2(1(1(0(2(2(1(2(1(0(3(4(2(2(z0)))))))))))))))))))), 4'(1(4(4(3(2(1(1(0(2(2(1(2(1(0(3(4(2(2(z0))))))))))))))))))), 1'(4(4(3(2(1(1(0(2(2(1(2(1(0(3(4(2(2(z0)))))))))))))))))), 4'(4(3(2(1(1(0(2(2(1(2(1(0(3(4(2(2(z0))))))))))))))))), 4'(3(2(1(1(0(2(2(1(2(1(0(3(4(2(2(z0)))))))))))))))), 3'(2(1(1(0(2(2(1(2(1(0(3(4(2(2(z0))))))))))))))), 2'(1(1(0(2(2(1(2(1(0(3(4(2(2(z0)))))))))))))), 1'(1(0(2(2(1(2(1(0(3(4(2(2(z0))))))))))))), 1'(0(2(2(1(2(1(0(3(4(2(2(z0)))))))))))), 0'(2(2(1(2(1(0(3(4(2(2(z0))))))))))), 2'(2(1(2(1(0(3(4(2(2(z0)))))))))), 2'(1(2(1(0(3(4(2(2(z0))))))))), 1'(2(1(0(3(4(2(2(z0)))))))), 2'(1(0(3(4(2(2(z0))))))), 1'(0(3(4(2(2(z0)))))), 0'(3(4(2(2(z0))))), 3'(4(2(2(z0)))), 4'(2(2(z0))), 2'(2(z0)), 2'(z0))
   0'(c_3(c_2(c_0(c_4(c_2(c_0(c_1(c_1(c_3(c_2(c_3(c_4(c_4(c_1(c_2(c_4(c_2(c_4(c_2(z0)))))))))))))))))))) -> c13(2'(2(4(3(4(2(3(4(1(2(1(0(0(2(0(4(1(4(2(2(z0)))))))))))))))))))), 2'(4(3(4(2(3(4(1(2(1(0(0(2(0(4(1(4(2(2(z0))))))))))))))))))), 4'(3(4(2(3(4(1(2(1(0(0(2(0(4(1(4(2(2(z0)))))))))))))))))), 3'(4(2(3(4(1(2(1(0(0(2(0(4(1(4(2(2(z0))))))))))))))))), 4'(2(3(4(1(2(1(0(0(2(0(4(1(4(2(2(z0)))))))))))))))), 2'(3(4(1(2(1(0(0(2(0(4(1(4(2(2(z0))))))))))))))), 3'(4(1(2(1(0(0(2(0(4(1(4(2(2(z0)))))))))))))), 4'(1(2(1(0(0(2(0(4(1(4(2(2(z0))))))))))))), 1'(2(1(0(0(2(0(4(1(4(2(2(z0)))))))))))), 2'(1(0(0(2(0(4(1(4(2(2(z0))))))))))), 1'(0(0(2(0(4(1(4(2(2(z0)))))))))), 0'(0(2(0(4(1(4(2(2(z0))))))))), 0'(2(0(4(1(4(2(2(z0)))))))), 2'(0(4(1(4(2(2(z0))))))), 0'(4(1(4(2(2(z0)))))), 4'(1(4(2(2(z0))))), 1'(4(2(2(z0)))), 4'(2(2(z0))), 2'(2(z0)), 2'(z0))
   0'(c_1(c_4(c_3(c_2(c_3(c_0(c_1(c_2(c_4(c_0(c_3(c_4(c_2(c_0(c_0(c_3(c_2(c_4(c_2(z0)))))))))))))))))))) -> c14(2'(1(3(0(0(1(4(3(1(3(2(2(2(1(3(0(2(0(0(2(z0)))))))))))))))))))), 1'(3(0(0(1(4(3(1(3(2(2(2(1(3(0(2(0(0(2(z0))))))))))))))))))), 3'(0(0(1(4(3(1(3(2(2(2(1(3(0(2(0(0(2(z0)))))))))))))))))), 0'(0(1(4(3(1(3(2(2(2(1(3(0(2(0(0(2(z0))))))))))))))))), 0'(1(4(3(1(3(2(2(2(1(3(0(2(0(0(2(z0)))))))))))))))), 1'(4(3(1(3(2(2(2(1(3(0(2(0(0(2(z0))))))))))))))), 4'(3(1(3(2(2(2(1(3(0(2(0(0(2(z0)))))))))))))), 3'(1(3(2(2(2(1(3(0(2(0(0(2(z0))))))))))))), 1'(3(2(2(2(1(3(0(2(0(0(2(z0)))))))))))), 3'(2(2(2(1(3(0(2(0(0(2(z0))))))))))), 2'(2(2(1(3(0(2(0(0(2(z0)))))))))), 2'(2(1(3(0(2(0(0(2(z0))))))))), 2'(1(3(0(2(0(0(2(z0)))))))), 1'(3(0(2(0(0(2(z0))))))), 3'(0(2(0(0(2(z0)))))), 0'(2(0(0(2(z0))))), 2'(0(0(2(z0)))), 0'(0(2(z0))), 0'(2(z0)), 2'(z0))
   0'(c_3(c_3(c_2(c_4(c_1(c_0(c_0(c_1(c_2(c_0(c_4(c_3(c_3(c_4(c_4(c_4(c_3(c_1(c_2(z0)))))))))))))))))))) -> c15(4'(1(2(2(2(2(4(4(2(0(3(2(1(0(4(4(1(4(2(0(z0)))))))))))))))))))), 1'(2(2(2(2(4(4(2(0(3(2(1(0(4(4(1(4(2(0(z0))))))))))))))))))), 2'(2(2(2(4(4(2(0(3(2(1(0(4(4(1(4(2(0(z0)))))))))))))))))), 2'(2(2(4(4(2(0(3(2(1(0(4(4(1(4(2(0(z0))))))))))))))))), 2'(2(4(4(2(0(3(2(1(0(4(4(1(4(2(0(z0)))))))))))))))), 2'(4(4(2(0(3(2(1(0(4(4(1(4(2(0(z0))))))))))))))), 4'(4(2(0(3(2(1(0(4(4(1(4(2(0(z0)))))))))))))), 4'(2(0(3(2(1(0(4(4(1(4(2(0(z0))))))))))))), 2'(0(3(2(1(0(4(4(1(4(2(0(z0)))))))))))), 0'(3(2(1(0(4(4(1(4(2(0(z0))))))))))), 3'(2(1(0(4(4(1(4(2(0(z0)))))))))), 2'(1(0(4(4(1(4(2(0(z0))))))))), 1'(0(4(4(1(4(2(0(z0)))))))), 0'(4(4(1(4(2(0(z0))))))), 4'(4(1(4(2(0(z0)))))), 4'(1(4(2(0(z0))))), 1'(4(2(0(z0)))), 4'(2(0(z0))), 2'(0(z0)), 0'(z0))
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   4'(c_0(c_0(c_0(c_0(c_4(c_2(c_1(c_1(c_1(c_1(c_3(c_2(c_4(c_0(c_0(c_3(c_2(c_4(c_1(z0)))))))))))))))))))) -> c106(2'(1(2(2(0(2(4(3(1(0(4(1(4(0(3(4(1(3(4(4(z0)))))))))))))))))))), 1'(2(2(0(2(4(3(1(0(4(1(4(0(3(4(1(3(4(4(z0))))))))))))))))))), 2'(2(0(2(4(3(1(0(4(1(4(0(3(4(1(3(4(4(z0)))))))))))))))))), 2'(0(2(4(3(1(0(4(1(4(0(3(4(1(3(4(4(z0))))))))))))))))), 0'(2(4(3(1(0(4(1(4(0(3(4(1(3(4(4(z0)))))))))))))))), 2'(4(3(1(0(4(1(4(0(3(4(1(3(4(4(z0))))))))))))))), 4'(3(1(0(4(1(4(0(3(4(1(3(4(4(z0)))))))))))))), 3'(1(0(4(1(4(0(3(4(1(3(4(4(z0))))))))))))), 1'(0(4(1(4(0(3(4(1(3(4(4(z0)))))))))))), 0'(4(1(4(0(3(4(1(3(4(4(z0))))))))))), 4'(1(4(0(3(4(1(3(4(4(z0)))))))))), 1'(4(0(3(4(1(3(4(4(z0))))))))), 4'(0(3(4(1(3(4(4(z0)))))))), 0'(3(4(1(3(4(4(z0))))))), 3'(4(1(3(4(4(z0)))))), 4'(1(3(4(4(z0))))), 1'(3(4(4(z0)))), 3'(4(4(z0))), 4'(4(z0)), 4'(z0))
   4'(c_4(c_2(c_2(c_0(c_0(c_3(c_0(c_3(c_1(c_2(c_3(c_3(c_1(c_2(c_2(c_2(c_4(c_4(c_4(z0)))))))))))))))))))) -> c107(4'(2(3(0(2(2(0(2(2(4(3(1(1(4(4(2(4(2(3(3(z0)))))))))))))))))))), 2'(3(0(2(2(0(2(2(4(3(1(1(4(4(2(4(2(3(3(z0))))))))))))))))))), 3'(0(2(2(0(2(2(4(3(1(1(4(4(2(4(2(3(3(z0)))))))))))))))))), 0'(2(2(0(2(2(4(3(1(1(4(4(2(4(2(3(3(z0))))))))))))))))), 2'(2(0(2(2(4(3(1(1(4(4(2(4(2(3(3(z0)))))))))))))))), 2'(0(2(2(4(3(1(1(4(4(2(4(2(3(3(z0))))))))))))))), 0'(2(2(4(3(1(1(4(4(2(4(2(3(3(z0)))))))))))))), 2'(2(4(3(1(1(4(4(2(4(2(3(3(z0))))))))))))), 2'(4(3(1(1(4(4(2(4(2(3(3(z0)))))))))))), 4'(3(1(1(4(4(2(4(2(3(3(z0))))))))))), 3'(1(1(4(4(2(4(2(3(3(z0)))))))))), 1'(1(4(4(2(4(2(3(3(z0))))))))), 1'(4(4(2(4(2(3(3(z0)))))))), 4'(4(2(4(2(3(3(z0))))))), 4'(2(4(2(3(3(z0)))))), 2'(4(2(3(3(z0))))), 4'(2(3(3(z0)))), 2'(3(3(z0))), 3'(3(z0)), 3'(z0))
   4'(c_2(c_3(c_0(c_2(c_2(c_4(c_0(c_0(c_3(c_1(c_2(c_0(c_4(c_2(c_0(c_2(c_3(c_3(c_0(z0)))))))))))))))))))) -> c108(2'(2(2(2(4(0(3(0(4(1(2(2(1(3(3(2(0(3(1(0(z0)))))))))))))))))))), 2'(2(2(4(0(3(0(4(1(2(2(1(3(3(2(0(3(1(0(z0))))))))))))))))))), 2'(2(4(0(3(0(4(1(2(2(1(3(3(2(0(3(1(0(z0)))))))))))))))))), 2'(4(0(3(0(4(1(2(2(1(3(3(2(0(3(1(0(z0))))))))))))))))), 4'(0(3(0(4(1(2(2(1(3(3(2(0(3(1(0(z0)))))))))))))))), 0'(3(0(4(1(2(2(1(3(3(2(0(3(1(0(z0))))))))))))))), 3'(0(4(1(2(2(1(3(3(2(0(3(1(0(z0)))))))))))))), 0'(4(1(2(2(1(3(3(2(0(3(1(0(z0))))))))))))), 4'(1(2(2(1(3(3(2(0(3(1(0(z0)))))))))))), 1'(2(2(1(3(3(2(0(3(1(0(z0))))))))))), 2'(2(1(3(3(2(0(3(1(0(z0)))))))))), 2'(1(3(3(2(0(3(1(0(z0))))))))), 1'(3(3(2(0(3(1(0(z0)))))))), 3'(3(2(0(3(1(0(z0))))))), 3'(2(0(3(1(0(z0)))))), 2'(0(3(1(0(z0))))), 0'(3(1(0(z0)))), 3'(1(0(z0))), 1'(0(z0)), 0'(z0))
   4'(c_1(c_1(c_1(c_4(c_2(c_4(c_2(c_0(c_2(c_3(c_3(c_1(c_3(c_0(c_2(c_2(c_0(c_0(c_3(z0)))))))))))))))))))) -> c109(0'(4(2(1(2(2(2(0(4(2(3(3(0(2(1(4(0(1(4(2(z0)))))))))))))))))))), 4'(2(1(2(2(2(0(4(2(3(3(0(2(1(4(0(1(4(2(z0))))))))))))))))))), 2'(1(2(2(2(0(4(2(3(3(0(2(1(4(0(1(4(2(z0)))))))))))))))))), 1'(2(2(2(0(4(2(3(3(0(2(1(4(0(1(4(2(z0))))))))))))))))), 2'(2(2(0(4(2(3(3(0(2(1(4(0(1(4(2(z0)))))))))))))))), 2'(2(0(4(2(3(3(0(2(1(4(0(1(4(2(z0))))))))))))))), 2'(0(4(2(3(3(0(2(1(4(0(1(4(2(z0)))))))))))))), 0'(4(2(3(3(0(2(1(4(0(1(4(2(z0))))))))))))), 4'(2(3(3(0(2(1(4(0(1(4(2(z0)))))))))))), 2'(3(3(0(2(1(4(0(1(4(2(z0))))))))))), 3'(3(0(2(1(4(0(1(4(2(z0)))))))))), 3'(0(2(1(4(0(1(4(2(z0))))))))), 0'(2(1(4(0(1(4(2(z0)))))))), 2'(1(4(0(1(4(2(z0))))))), 1'(4(0(1(4(2(z0)))))), 4'(0(1(4(2(z0))))), 0'(1(4(2(z0)))), 1'(4(2(z0))), 4'(2(z0)), 2'(z0))
   4'(c_0(c_2(c_2(c_4(c_3(c_1(c_3(c_4(c_0(c_0(c_0(c_2(c_2(c_2(c_3(c_0(c_4(c_2(c_4(z0)))))))))))))))))))) -> c110(2'(1(3(3(4(4(1(0(3(2(2(3(0(0(4(3(3(4(2(2(z0)))))))))))))))))))), 1'(3(3(4(4(1(0(3(2(2(3(0(0(4(3(3(4(2(2(z0))))))))))))))))))), 3'(3(4(4(1(0(3(2(2(3(0(0(4(3(3(4(2(2(z0)))))))))))))))))), 3'(4(4(1(0(3(2(2(3(0(0(4(3(3(4(2(2(z0))))))))))))))))), 4'(4(1(0(3(2(2(3(0(0(4(3(3(4(2(2(z0)))))))))))))))), 4'(1(0(3(2(2(3(0(0(4(3(3(4(2(2(z0))))))))))))))), 1'(0(3(2(2(3(0(0(4(3(3(4(2(2(z0)))))))))))))), 0'(3(2(2(3(0(0(4(3(3(4(2(2(z0))))))))))))), 3'(2(2(3(0(0(4(3(3(4(2(2(z0)))))))))))), 2'(2(3(0(0(4(3(3(4(2(2(z0))))))))))), 2'(3(0(0(4(3(3(4(2(2(z0)))))))))), 3'(0(0(4(3(3(4(2(2(z0))))))))), 0'(0(4(3(3(4(2(2(z0)))))))), 0'(4(3(3(4(2(2(z0))))))), 4'(3(3(4(2(2(z0)))))), 3'(3(4(2(2(z0))))), 3'(4(2(2(z0)))), 4'(2(2(z0))), 2'(2(z0)), 2'(z0))
   4'(c_3(c_3(c_3(c_0(c_2(c_1(c_2(c_2(c_3(c_2(c_0(c_1(c_1(c_4(c_1(c_3(c_4(c_2(c_4(z0)))))))))))))))))))) -> c111(3'(4(1(3(3(2(1(2(1(1(0(2(2(0(0(1(1(2(3(2(z0)))))))))))))))))))), 4'(1(3(3(2(1(2(1(1(0(2(2(0(0(1(1(2(3(2(z0))))))))))))))))))), 1'(3(3(2(1(2(1(1(0(2(2(0(0(1(1(2(3(2(z0)))))))))))))))))), 3'(3(2(1(2(1(1(0(2(2(0(0(1(1(2(3(2(z0))))))))))))))))), 3'(2(1(2(1(1(0(2(2(0(0(1(1(2(3(2(z0)))))))))))))))), 2'(1(2(1(1(0(2(2(0(0(1(1(2(3(2(z0))))))))))))))), 1'(2(1(1(0(2(2(0(0(1(1(2(3(2(z0)))))))))))))), 2'(1(1(0(2(2(0(0(1(1(2(3(2(z0))))))))))))), 1'(1(0(2(2(0(0(1(1(2(3(2(z0)))))))))))), 1'(0(2(2(0(0(1(1(2(3(2(z0))))))))))), 0'(2(2(0(0(1(1(2(3(2(z0)))))))))), 2'(2(0(0(1(1(2(3(2(z0))))))))), 2'(0(0(1(1(2(3(2(z0)))))))), 0'(0(1(1(2(3(2(z0))))))), 0'(1(1(2(3(2(z0)))))), 1'(1(2(3(2(z0))))), 1'(2(3(2(z0)))), 2'(3(2(z0))), 3'(2(z0)), 2'(z0))
   4'(c_4(c_4(c_1(c_3(c_3(c_4(c_4(c_2(c_2(c_0(c_1(c_0(c_2(c_4(c_3(c_2(c_2(c_0(c_2(z0)))))))))))))))))))) -> c112(4'(3(2(3(2(2(0(0(1(3(4(2(2(2(4(4(1(2(0(2(z0)))))))))))))))))))), 3'(2(3(2(2(0(0(1(3(4(2(2(2(4(4(1(2(0(2(z0))))))))))))))))))), 2'(3(2(2(0(0(1(3(4(2(2(2(4(4(1(2(0(2(z0)))))))))))))))))), 3'(2(2(0(0(1(3(4(2(2(2(4(4(1(2(0(2(z0))))))))))))))))), 2'(2(0(0(1(3(4(2(2(2(4(4(1(2(0(2(z0)))))))))))))))), 2'(0(0(1(3(4(2(2(2(4(4(1(2(0(2(z0))))))))))))))), 0'(0(1(3(4(2(2(2(4(4(1(2(0(2(z0)))))))))))))), 0'(1(3(4(2(2(2(4(4(1(2(0(2(z0))))))))))))), 1'(3(4(2(2(2(4(4(1(2(0(2(z0)))))))))))), 3'(4(2(2(2(4(4(1(2(0(2(z0))))))))))), 4'(2(2(2(4(4(1(2(0(2(z0)))))))))), 2'(2(2(4(4(1(2(0(2(z0))))))))), 2'(2(4(4(1(2(0(2(z0)))))))), 2'(4(4(1(2(0(2(z0))))))), 4'(4(1(2(0(2(z0)))))), 4'(1(2(0(2(z0))))), 1'(2(0(2(z0)))), 2'(0(2(z0))), 0'(2(z0)), 2'(z0))
   4'(c_0(c_4(c_2(c_2(c_3(c_3(c_2(c_2(c_1(c_2(c_1(c_0(c_1(c_0(c_3(c_2(c_1(c_2(c_0(z0)))))))))))))))))))) -> c113(1'(1(2(2(0(0(4(4(2(3(3(3(2(2(2(0(3(0(0(2(z0)))))))))))))))))))), 1'(2(2(0(0(4(4(2(3(3(3(2(2(2(0(3(0(0(2(z0))))))))))))))))))), 2'(2(0(0(4(4(2(3(3(3(2(2(2(0(3(0(0(2(z0)))))))))))))))))), 2'(0(0(4(4(2(3(3(3(2(2(2(0(3(0(0(2(z0))))))))))))))))), 0'(0(4(4(2(3(3(3(2(2(2(0(3(0(0(2(z0)))))))))))))))), 0'(4(4(2(3(3(3(2(2(2(0(3(0(0(2(z0))))))))))))))), 4'(4(2(3(3(3(2(2(2(0(3(0(0(2(z0)))))))))))))), 4'(2(3(3(3(2(2(2(0(3(0(0(2(z0))))))))))))), 2'(3(3(3(2(2(2(0(3(0(0(2(z0)))))))))))), 3'(3(3(2(2(2(0(3(0(0(2(z0))))))))))), 3'(3(2(2(2(0(3(0(0(2(z0)))))))))), 3'(2(2(2(0(3(0(0(2(z0))))))))), 2'(2(2(0(3(0(0(2(z0)))))))), 2'(2(0(3(0(0(2(z0))))))), 2'(0(3(0(0(2(z0)))))), 0'(3(0(0(2(z0))))), 3'(0(0(2(z0)))), 0'(0(2(z0))), 0'(2(z0)), 2'(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_1(c_4(c_2(c_2(c_0(c_3(c_2(c_0(c_4(c_1(c_3(c_2(c_0(c_0(c_3(c_2(c_3(c_0(c_2(z0)))))))))))))))))))) -> c11(2'(4(2(1(2(2(3(0(2(0(1(2(2(0(1(2(0(0(4(2(z0)))))))))))))))))))), 4'(2(1(2(2(3(0(2(0(1(2(2(0(1(2(0(0(4(2(z0))))))))))))))))))), 2'(1(2(2(3(0(2(0(1(2(2(0(1(2(0(0(4(2(z0)))))))))))))))))), 1'(2(2(3(0(2(0(1(2(2(0(1(2(0(0(4(2(z0))))))))))))))))), 2'(2(3(0(2(0(1(2(2(0(1(2(0(0(4(2(z0)))))))))))))))), 2'(3(0(2(0(1(2(2(0(1(2(0(0(4(2(z0))))))))))))))), 3'(0(2(0(1(2(2(0(1(2(0(0(4(2(z0)))))))))))))), 0'(2(0(1(2(2(0(1(2(0(0(4(2(z0))))))))))))), 2'(0(1(2(2(0(1(2(0(0(4(2(z0)))))))))))), 0'(1(2(2(0(1(2(0(0(4(2(z0))))))))))), 1'(2(2(0(1(2(0(0(4(2(z0)))))))))), 2'(2(0(1(2(0(0(4(2(z0))))))))), 2'(0(1(2(0(0(4(2(z0)))))))), 0'(1(2(0(0(4(2(z0))))))), 1'(2(0(0(4(2(z0)))))), 2'(0(0(4(2(z0))))), 0'(0(4(2(z0)))), 0'(4(2(z0))), 4'(2(z0)), 2'(z0))
   0'(c_0(c_2(c_1(c_0(c_3(c_1(c_3(c_1(c_3(c_3(c_3(c_2(c_4(c_0(c_0(c_1(c_2(c_0(c_4(z0)))))))))))))))))))) -> c12(4'(4(1(4(4(3(2(1(1(0(2(2(1(2(1(0(3(4(2(2(z0)))))))))))))))))))), 4'(1(4(4(3(2(1(1(0(2(2(1(2(1(0(3(4(2(2(z0))))))))))))))))))), 1'(4(4(3(2(1(1(0(2(2(1(2(1(0(3(4(2(2(z0)))))))))))))))))), 4'(4(3(2(1(1(0(2(2(1(2(1(0(3(4(2(2(z0))))))))))))))))), 4'(3(2(1(1(0(2(2(1(2(1(0(3(4(2(2(z0)))))))))))))))), 3'(2(1(1(0(2(2(1(2(1(0(3(4(2(2(z0))))))))))))))), 2'(1(1(0(2(2(1(2(1(0(3(4(2(2(z0)))))))))))))), 1'(1(0(2(2(1(2(1(0(3(4(2(2(z0))))))))))))), 1'(0(2(2(1(2(1(0(3(4(2(2(z0)))))))))))), 0'(2(2(1(2(1(0(3(4(2(2(z0))))))))))), 2'(2(1(2(1(0(3(4(2(2(z0)))))))))), 2'(1(2(1(0(3(4(2(2(z0))))))))), 1'(2(1(0(3(4(2(2(z0)))))))), 2'(1(0(3(4(2(2(z0))))))), 1'(0(3(4(2(2(z0)))))), 0'(3(4(2(2(z0))))), 3'(4(2(2(z0)))), 4'(2(2(z0))), 2'(2(z0)), 2'(z0))
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   4'(c_4(c_0(c_3(c_0(c_4(c_2(c_4(c_2(c_3(c_0(c_2(c_2(c_0(c_4(c_3(c_3(c_4(c_2(c_2(z0)))))))))))))))))))) -> c105(2'(3(3(1(0(2(2(3(1(4(0(0(1(2(2(0(4(4(2(2(z0)))))))))))))))))))), 3'(3(1(0(2(2(3(1(4(0(0(1(2(2(0(4(4(2(2(z0))))))))))))))))))), 3'(1(0(2(2(3(1(4(0(0(1(2(2(0(4(4(2(2(z0)))))))))))))))))), 1'(0(2(2(3(1(4(0(0(1(2(2(0(4(4(2(2(z0))))))))))))))))), 0'(2(2(3(1(4(0(0(1(2(2(0(4(4(2(2(z0)))))))))))))))), 2'(2(3(1(4(0(0(1(2(2(0(4(4(2(2(z0))))))))))))))), 2'(3(1(4(0(0(1(2(2(0(4(4(2(2(z0)))))))))))))), 3'(1(4(0(0(1(2(2(0(4(4(2(2(z0))))))))))))), 1'(4(0(0(1(2(2(0(4(4(2(2(z0)))))))))))), 4'(0(0(1(2(2(0(4(4(2(2(z0))))))))))), 0'(0(1(2(2(0(4(4(2(2(z0)))))))))), 0'(1(2(2(0(4(4(2(2(z0))))))))), 1'(2(2(0(4(4(2(2(z0)))))))), 2'(2(0(4(4(2(2(z0))))))), 2'(0(4(4(2(2(z0)))))), 0'(4(4(2(2(z0))))), 4'(4(2(2(z0)))), 4'(2(2(z0))), 2'(2(z0)), 2'(z0))
   4'(c_0(c_0(c_0(c_0(c_4(c_2(c_1(c_1(c_1(c_1(c_3(c_2(c_4(c_0(c_0(c_3(c_2(c_4(c_1(z0)))))))))))))))))))) -> c106(2'(1(2(2(0(2(4(3(1(0(4(1(4(0(3(4(1(3(4(4(z0)))))))))))))))))))), 1'(2(2(0(2(4(3(1(0(4(1(4(0(3(4(1(3(4(4(z0))))))))))))))))))), 2'(2(0(2(4(3(1(0(4(1(4(0(3(4(1(3(4(4(z0)))))))))))))))))), 2'(0(2(4(3(1(0(4(1(4(0(3(4(1(3(4(4(z0))))))))))))))))), 0'(2(4(3(1(0(4(1(4(0(3(4(1(3(4(4(z0)))))))))))))))), 2'(4(3(1(0(4(1(4(0(3(4(1(3(4(4(z0))))))))))))))), 4'(3(1(0(4(1(4(0(3(4(1(3(4(4(z0)))))))))))))), 3'(1(0(4(1(4(0(3(4(1(3(4(4(z0))))))))))))), 1'(0(4(1(4(0(3(4(1(3(4(4(z0)))))))))))), 0'(4(1(4(0(3(4(1(3(4(4(z0))))))))))), 4'(1(4(0(3(4(1(3(4(4(z0)))))))))), 1'(4(0(3(4(1(3(4(4(z0))))))))), 4'(0(3(4(1(3(4(4(z0)))))))), 0'(3(4(1(3(4(4(z0))))))), 3'(4(1(3(4(4(z0)))))), 4'(1(3(4(4(z0))))), 1'(3(4(4(z0)))), 3'(4(4(z0))), 4'(4(z0)), 4'(z0))
   4'(c_4(c_2(c_2(c_0(c_0(c_3(c_0(c_3(c_1(c_2(c_3(c_3(c_1(c_2(c_2(c_2(c_4(c_4(c_4(z0)))))))))))))))))))) -> c107(4'(2(3(0(2(2(0(2(2(4(3(1(1(4(4(2(4(2(3(3(z0)))))))))))))))))))), 2'(3(0(2(2(0(2(2(4(3(1(1(4(4(2(4(2(3(3(z0))))))))))))))))))), 3'(0(2(2(0(2(2(4(3(1(1(4(4(2(4(2(3(3(z0)))))))))))))))))), 0'(2(2(0(2(2(4(3(1(1(4(4(2(4(2(3(3(z0))))))))))))))))), 2'(2(0(2(2(4(3(1(1(4(4(2(4(2(3(3(z0)))))))))))))))), 2'(0(2(2(4(3(1(1(4(4(2(4(2(3(3(z0))))))))))))))), 0'(2(2(4(3(1(1(4(4(2(4(2(3(3(z0)))))))))))))), 2'(2(4(3(1(1(4(4(2(4(2(3(3(z0))))))))))))), 2'(4(3(1(1(4(4(2(4(2(3(3(z0)))))))))))), 4'(3(1(1(4(4(2(4(2(3(3(z0))))))))))), 3'(1(1(4(4(2(4(2(3(3(z0)))))))))), 1'(1(4(4(2(4(2(3(3(z0))))))))), 1'(4(4(2(4(2(3(3(z0)))))))), 4'(4(2(4(2(3(3(z0))))))), 4'(2(4(2(3(3(z0)))))), 2'(4(2(3(3(z0))))), 4'(2(3(3(z0)))), 2'(3(3(z0))), 3'(3(z0)), 3'(z0))
   4'(c_2(c_3(c_0(c_2(c_2(c_4(c_0(c_0(c_3(c_1(c_2(c_0(c_4(c_2(c_0(c_2(c_3(c_3(c_0(z0)))))))))))))))))))) -> c108(2'(2(2(2(4(0(3(0(4(1(2(2(1(3(3(2(0(3(1(0(z0)))))))))))))))))))), 2'(2(2(4(0(3(0(4(1(2(2(1(3(3(2(0(3(1(0(z0))))))))))))))))))), 2'(2(4(0(3(0(4(1(2(2(1(3(3(2(0(3(1(0(z0)))))))))))))))))), 2'(4(0(3(0(4(1(2(2(1(3(3(2(0(3(1(0(z0))))))))))))))))), 4'(0(3(0(4(1(2(2(1(3(3(2(0(3(1(0(z0)))))))))))))))), 0'(3(0(4(1(2(2(1(3(3(2(0(3(1(0(z0))))))))))))))), 3'(0(4(1(2(2(1(3(3(2(0(3(1(0(z0)))))))))))))), 0'(4(1(2(2(1(3(3(2(0(3(1(0(z0))))))))))))), 4'(1(2(2(1(3(3(2(0(3(1(0(z0)))))))))))), 1'(2(2(1(3(3(2(0(3(1(0(z0))))))))))), 2'(2(1(3(3(2(0(3(1(0(z0)))))))))), 2'(1(3(3(2(0(3(1(0(z0))))))))), 1'(3(3(2(0(3(1(0(z0)))))))), 3'(3(2(0(3(1(0(z0))))))), 3'(2(0(3(1(0(z0)))))), 2'(0(3(1(0(z0))))), 0'(3(1(0(z0)))), 3'(1(0(z0))), 1'(0(z0)), 0'(z0))
   4'(c_1(c_1(c_1(c_4(c_2(c_4(c_2(c_0(c_2(c_3(c_3(c_1(c_3(c_0(c_2(c_2(c_0(c_0(c_3(z0)))))))))))))))))))) -> c109(0'(4(2(1(2(2(2(0(4(2(3(3(0(2(1(4(0(1(4(2(z0)))))))))))))))))))), 4'(2(1(2(2(2(0(4(2(3(3(0(2(1(4(0(1(4(2(z0))))))))))))))))))), 2'(1(2(2(2(0(4(2(3(3(0(2(1(4(0(1(4(2(z0)))))))))))))))))), 1'(2(2(2(0(4(2(3(3(0(2(1(4(0(1(4(2(z0))))))))))))))))), 2'(2(2(0(4(2(3(3(0(2(1(4(0(1(4(2(z0)))))))))))))))), 2'(2(0(4(2(3(3(0(2(1(4(0(1(4(2(z0))))))))))))))), 2'(0(4(2(3(3(0(2(1(4(0(1(4(2(z0)))))))))))))), 0'(4(2(3(3(0(2(1(4(0(1(4(2(z0))))))))))))), 4'(2(3(3(0(2(1(4(0(1(4(2(z0)))))))))))), 2'(3(3(0(2(1(4(0(1(4(2(z0))))))))))), 3'(3(0(2(1(4(0(1(4(2(z0)))))))))), 3'(0(2(1(4(0(1(4(2(z0))))))))), 0'(2(1(4(0(1(4(2(z0)))))))), 2'(1(4(0(1(4(2(z0))))))), 1'(4(0(1(4(2(z0)))))), 4'(0(1(4(2(z0))))), 0'(1(4(2(z0)))), 1'(4(2(z0))), 4'(2(z0)), 2'(z0))
   4'(c_0(c_2(c_2(c_4(c_3(c_1(c_3(c_4(c_0(c_0(c_0(c_2(c_2(c_2(c_3(c_0(c_4(c_2(c_4(z0)))))))))))))))))))) -> c110(2'(1(3(3(4(4(1(0(3(2(2(3(0(0(4(3(3(4(2(2(z0)))))))))))))))))))), 1'(3(3(4(4(1(0(3(2(2(3(0(0(4(3(3(4(2(2(z0))))))))))))))))))), 3'(3(4(4(1(0(3(2(2(3(0(0(4(3(3(4(2(2(z0)))))))))))))))))), 3'(4(4(1(0(3(2(2(3(0(0(4(3(3(4(2(2(z0))))))))))))))))), 4'(4(1(0(3(2(2(3(0(0(4(3(3(4(2(2(z0)))))))))))))))), 4'(1(0(3(2(2(3(0(0(4(3(3(4(2(2(z0))))))))))))))), 1'(0(3(2(2(3(0(0(4(3(3(4(2(2(z0)))))))))))))), 0'(3(2(2(3(0(0(4(3(3(4(2(2(z0))))))))))))), 3'(2(2(3(0(0(4(3(3(4(2(2(z0)))))))))))), 2'(2(3(0(0(4(3(3(4(2(2(z0))))))))))), 2'(3(0(0(4(3(3(4(2(2(z0)))))))))), 3'(0(0(4(3(3(4(2(2(z0))))))))), 0'(0(4(3(3(4(2(2(z0)))))))), 0'(4(3(3(4(2(2(z0))))))), 4'(3(3(4(2(2(z0)))))), 3'(3(4(2(2(z0))))), 3'(4(2(2(z0)))), 4'(2(2(z0))), 2'(2(z0)), 2'(z0))
   4'(c_3(c_3(c_3(c_0(c_2(c_1(c_2(c_2(c_3(c_2(c_0(c_1(c_1(c_4(c_1(c_3(c_4(c_2(c_4(z0)))))))))))))))))))) -> c111(3'(4(1(3(3(2(1(2(1(1(0(2(2(0(0(1(1(2(3(2(z0)))))))))))))))))))), 4'(1(3(3(2(1(2(1(1(0(2(2(0(0(1(1(2(3(2(z0))))))))))))))))))), 1'(3(3(2(1(2(1(1(0(2(2(0(0(1(1(2(3(2(z0)))))))))))))))))), 3'(3(2(1(2(1(1(0(2(2(0(0(1(1(2(3(2(z0))))))))))))))))), 3'(2(1(2(1(1(0(2(2(0(0(1(1(2(3(2(z0)))))))))))))))), 2'(1(2(1(1(0(2(2(0(0(1(1(2(3(2(z0))))))))))))))), 1'(2(1(1(0(2(2(0(0(1(1(2(3(2(z0)))))))))))))), 2'(1(1(0(2(2(0(0(1(1(2(3(2(z0))))))))))))), 1'(1(0(2(2(0(0(1(1(2(3(2(z0)))))))))))), 1'(0(2(2(0(0(1(1(2(3(2(z0))))))))))), 0'(2(2(0(0(1(1(2(3(2(z0)))))))))), 2'(2(0(0(1(1(2(3(2(z0))))))))), 2'(0(0(1(1(2(3(2(z0)))))))), 0'(0(1(1(2(3(2(z0))))))), 0'(1(1(2(3(2(z0)))))), 1'(1(2(3(2(z0))))), 1'(2(3(2(z0)))), 2'(3(2(z0))), 3'(2(z0)), 2'(z0))
   4'(c_4(c_4(c_1(c_3(c_3(c_4(c_4(c_2(c_2(c_0(c_1(c_0(c_2(c_4(c_3(c_2(c_2(c_0(c_2(z0)))))))))))))))))))) -> c112(4'(3(2(3(2(2(0(0(1(3(4(2(2(2(4(4(1(2(0(2(z0)))))))))))))))))))), 3'(2(3(2(2(0(0(1(3(4(2(2(2(4(4(1(2(0(2(z0))))))))))))))))))), 2'(3(2(2(0(0(1(3(4(2(2(2(4(4(1(2(0(2(z0)))))))))))))))))), 3'(2(2(0(0(1(3(4(2(2(2(4(4(1(2(0(2(z0))))))))))))))))), 2'(2(0(0(1(3(4(2(2(2(4(4(1(2(0(2(z0)))))))))))))))), 2'(0(0(1(3(4(2(2(2(4(4(1(2(0(2(z0))))))))))))))), 0'(0(1(3(4(2(2(2(4(4(1(2(0(2(z0)))))))))))))), 0'(1(3(4(2(2(2(4(4(1(2(0(2(z0))))))))))))), 1'(3(4(2(2(2(4(4(1(2(0(2(z0)))))))))))), 3'(4(2(2(2(4(4(1(2(0(2(z0))))))))))), 4'(2(2(2(4(4(1(2(0(2(z0)))))))))), 2'(2(2(4(4(1(2(0(2(z0))))))))), 2'(2(4(4(1(2(0(2(z0)))))))), 2'(4(4(1(2(0(2(z0))))))), 4'(4(1(2(0(2(z0)))))), 4'(1(2(0(2(z0))))), 1'(2(0(2(z0)))), 2'(0(2(z0))), 0'(2(z0)), 2'(z0))
   4'(c_0(c_4(c_2(c_2(c_3(c_3(c_2(c_2(c_1(c_2(c_1(c_0(c_1(c_0(c_3(c_2(c_1(c_2(c_0(z0)))))))))))))))))))) -> c113(1'(1(2(2(0(0(4(4(2(3(3(3(2(2(2(0(3(0(0(2(z0)))))))))))))))))))), 1'(2(2(0(0(4(4(2(3(3(3(2(2(2(0(3(0(0(2(z0))))))))))))))))))), 2'(2(0(0(4(4(2(3(3(3(2(2(2(0(3(0(0(2(z0)))))))))))))))))), 2'(0(0(4(4(2(3(3(3(2(2(2(0(3(0(0(2(z0))))))))))))))))), 0'(0(4(4(2(3(3(3(2(2(2(0(3(0(0(2(z0)))))))))))))))), 0'(4(4(2(3(3(3(2(2(2(0(3(0(0(2(z0))))))))))))))), 4'(4(2(3(3(3(2(2(2(0(3(0(0(2(z0)))))))))))))), 4'(2(3(3(3(2(2(2(0(3(0(0(2(z0))))))))))))), 2'(3(3(3(2(2(2(0(3(0(0(2(z0)))))))))))), 3'(3(3(2(2(2(0(3(0(0(2(z0))))))))))), 3'(3(2(2(2(0(3(0(0(2(z0)))))))))), 3'(2(2(2(0(3(0(0(2(z0))))))))), 2'(2(2(0(3(0(0(2(z0)))))))), 2'(2(0(3(0(0(2(z0))))))), 2'(0(3(0(0(2(z0)))))), 0'(3(0(0(2(z0))))), 3'(0(0(2(z0)))), 0'(0(2(z0))), 0'(2(z0)), 2'(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, c29_20, c30_20, c31_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, c64_20, c65_20, c66_20, c67_20, c68_20, c69_20, c70_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_20, c90_20, c91_20, c92_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_1(c_4(c_2(c_2(c_0(c_3(c_2(c_0(c_4(c_1(c_3(c_2(c_0(c_0(c_3(c_2(c_3(c_0(c_2(z0)))))))))))))))))))) -> 2(4(2(1(2(2(3(0(2(0(1(2(2(0(1(2(0(0(4(2(z0))))))))))))))))))))
   0(c_0(c_2(c_1(c_0(c_3(c_1(c_3(c_1(c_3(c_3(c_3(c_2(c_4(c_0(c_0(c_1(c_2(c_0(c_4(z0)))))))))))))))))))) -> 4(4(1(4(4(3(2(1(1(0(2(2(1(2(1(0(3(4(2(2(z0))))))))))))))))))))
   0(c_3(c_2(c_0(c_4(c_2(c_0(c_1(c_1(c_3(c_2(c_3(c_4(c_4(c_1(c_2(c_4(c_2(c_4(c_2(z0)))))))))))))))))))) -> 2(2(4(3(4(2(3(4(1(2(1(0(0(2(0(4(1(4(2(2(z0))))))))))))))))))))
   0(c_1(c_4(c_3(c_2(c_3(c_0(c_1(c_2(c_4(c_0(c_3(c_4(c_2(c_0(c_0(c_3(c_2(c_4(c_2(z0)))))))))))))))))))) -> 2(1(3(0(0(1(4(3(1(3(2(2(2(1(3(0(2(0(0(2(z0))))))))))))))))))))
   0(c_3(c_3(c_2(c_4(c_1(c_0(c_0(c_1(c_2(c_0(c_4(c_3(c_3(c_4(c_4(c_4(c_3(c_1(c_2(z0)))))))))))))))))))) -> 4(1(2(2(2(2(4(4(2(0(3(2(1(0(4(4(1(4(2(0(z0))))))))))))))))))))
   0(c_4(c_4(c_2(c_3(c_2(c_1(c_2(c_2(c_1(c_4(c_1(c_1(c_1(c_4(c_2(c_2(c_1(c_2(c_0(z0)))))))))))))))))))) -> 3(0(0(1(4(1(2(3(3(4(2(1(1(3(2(2(1(3(2(4(z0))))))))))))))))))))
   0(c_0(c_0(c_2(c_1(c_1(c_2(c_2(c_1(c_3(c_0(c_0(c_4(c_3(c_4(c_3(c_4(c_1(c_2(c_1(z0)))))))))))))))))))) -> 0(0(0(1(2(2(2(0(4(1(4(1(2(4(3(3(1(0(3(3(z0))))))))))))))))))))
   0(c_0(c_2(c_3(c_1(c_4(c_2(c_1(c_4(c_2(c_0(c_1(c_4(c_2(c_2(c_1(c_1(c_2(c_4(c_4(z0)))))))))))))))))))) -> 1(1(2(3(3(4(4(4(2(3(2(2(1(2(0(1(2(0(4(4(z0))))))))))))))))))))
   0(c_2(c_3(c_0(c_4(c_2(c_3(c_1(c_3(c_4(c_0(c_3(c_4(c_2(c_1(c_3(c_2(c_3(c_4(c_0(z0)))))))))))))))))))) -> 4(1(2(0(3(0(1(2(3(0(2(1(3(2(0(3(0(2(4(0(z0))))))))))))))))))))
   0(c_2(c_1(c_1(c_2(c_1(c_4(c_1(c_2(c_2(c_4(c_0(c_0(c_3(c_3(c_3(c_2(c_2(c_1(c_0(z0)))))))))))))))))))) -> 4(3(3(0(2(3(4(2(4(1(2(1(4(3(4(3(3(2(2(3(z0))))))))))))))))))))
   0(c_2(c_1(c_3(c_0(c_0(c_4(c_4(c_4(c_0(c_0(c_3(c_2(c_1(c_2(c_4(c_0(c_1(c_2(c_2(z0)))))))))))))))))))) -> 0(4(0(0(2(3(0(4(1(2(3(0(3(0(1(4(2(2(3(3(z0))))))))))))))))))))
   0(c_0(c_0(c_0(c_1(c_2(c_2(c_3(c_3(c_2(c_0(c_0(c_0(c_4(c_2(c_0(c_1(c_2(c_4(c_2(z0)))))))))))))))))))) -> 1(1(1(3(0(3(0(2(3(2(2(4(1(2(3(4(1(2(2(4(z0))))))))))))))))))))
   0(c_4(c_2(c_2(c_0(c_2(c_3(c_3(c_4(c_1(c_3(c_2(c_4(c_0(c_2(c_1(c_1(c_4(c_3(c_2(z0)))))))))))))))))))) -> 2(4(3(3(0(3(1(2(3(3(4(2(0(0(4(2(0(1(2(2(z0))))))))))))))))))))
   0(c_2(c_4(c_2(c_1(c_2(c_3(c_0(c_1(c_2(c_0(c_3(c_0(c_4(c_1(c_0(c_2(c_0(c_2(c_0(z0)))))))))))))))))))) -> 3(2(3(1(0(1(2(0(2(2(3(2(0(4(4(2(0(4(4(2(z0))))))))))))))))))))
   0(c_1(c_2(c_0(c_1(c_4(c_4(c_0(c_3(c_0(c_2(c_3(c_0(c_0(c_3(c_3(c_0(c_2(c_3(c_2(z0)))))))))))))))))))) -> 1(3(3(2(4(2(1(2(1(2(0(2(0(3(2(2(4(0(3(3(z0))))))))))))))))))))
   0(c_2(c_2(c_1(c_2(c_0(c_3(c_1(c_2(c_2(c_4(c_1(c_2(c_0(c_2(c_4(c_0(c_1(c_0(c_3(z0)))))))))))))))))))) -> 2(4(3(0(3(0(2(3(0(4(2(2(2(3(3(2(4(3(1(1(z0))))))))))))))))))))
   0(c_4(c_2(c_0(c_0(c_3(c_2(c_1(c_0(c_1(c_3(c_1(c_2(c_4(c_4(c_0(c_2(c_3(c_2(c_2(z0)))))))))))))))))))) -> 2(1(2(2(3(3(2(0(4(4(3(3(1(0(0(3(4(2(2(4(z0))))))))))))))))))))
   1(z0) -> c_1(z0)
   1(c_3(c_3(c_4(c_4(c_2(c_3(c_1(c_3(c_3(c_0(c_3(c_4(c_2(c_2(c_4(c_2(c_2(c_4(c_4(z0)))))))))))))))))))) -> 0(4(2(4(3(3(2(1(4(2(4(4(3(2(2(3(1(2(2(0(z0))))))))))))))))))))
   1(c_0(c_0(c_1(c_2(c_3(c_4(c_2(c_0(c_4(c_4(c_2(c_2(c_4(c_1(c_2(c_2(c_2(c_4(c_4(z0)))))))))))))))))))) -> 2(4(3(0(2(0(3(1(2(1(1(2(2(3(0(2(4(3(1(3(z0))))))))))))))))))))
   1(c_0(c_0(c_3(c_1(c_4(c_2(c_1(c_2(c_2(c_2(c_2(c_2(c_3(c_0(c_1(c_4(c_2(c_0(c_4(z0)))))))))))))))))))) -> 2(4(4(0(3(3(0(3(3(3(2(4(2(2(0(0(0(0(3(3(z0))))))))))))))))))))
   1(c_1(c_1(c_1(c_2(c_4(c_4(c_3(c_0(c_2(c_3(c_3(c_1(c_3(c_0(c_1(c_4(c_2(c_2(c_3(z0)))))))))))))))))))) -> 3(4(2(1(1(0(1(2(1(4(4(2(3(3(4(2(1(2(3(2(z0))))))))))))))))))))
   1(c_0(c_0(c_4(c_0(c_0(c_2(c_3(c_2(c_2(c_3(c_3(c_1(c_3(c_4(c_3(c_2(c_2(c_1(c_1(z0)))))))))))))))))))) -> 1(2(2(2(0(0(2(2(3(0(4(4(2(1(4(2(2(2(4(1(z0))))))))))))))))))))
   1(c_1(c_2(c_0(c_4(c_1(c_3(c_1(c_2(c_2(c_0(c_4(c_0(c_2(c_3(c_4(c_4(c_0(c_2(c_3(z0)))))))))))))))))))) -> 1(0(2(2(4(0(3(1(0(0(3(0(2(1(1(2(2(3(1(0(z0))))))))))))))))))))
   1(c_3(c_2(c_3(c_1(c_0(c_3(c_3(c_0(c_1(c_2(c_0(c_2(c_2(c_2(c_0(c_1(c_3(c_1(c_0(z0)))))))))))))))))))) -> 3(3(4(3(1(2(2(4(4(0(2(2(2(2(0(0(2(0(1(4(z0))))))))))))))))))))
   1(c_1(c_2(c_1(c_3(c_4(c_0(c_2(c_2(c_3(c_3(c_3(c_3(c_0(c_1(c_0(c_4(c_3(c_0(c_2(z0)))))))))))))))))))) -> 3(2(1(4(2(2(3(4(2(3(1(4(2(3(0(3(3(4(0(3(z0))))))))))))))))))))
   1(c_1(c_3(c_3(c_1(c_1(c_3(c_2(c_3(c_2(c_0(c_4(c_2(c_0(c_2(c_1(c_1(c_0(c_4(c_1(z0)))))))))))))))))))) -> 2(3(4(2(0(0(0(0(3(1(2(2(4(1(2(3(1(0(4(4(z0))))))))))))))))))))
   1(c_3(c_1(c_4(c_0(c_1(c_4(c_3(c_0(c_4(c_2(c_1(c_0(c_0(c_1(c_2(c_3(c_2(c_2(c_3(z0)))))))))))))))))))) -> 0(4(0(3(0(3(0(3(2(0(1(0(0(2(1(3(2(1(2(0(z0))))))))))))))))))))
   1(c_0(c_2(c_1(c_1(c_1(c_2(c_0(c_0(c_2(c_1(c_3(c_3(c_3(c_1(c_4(c_1(c_0(c_0(c_1(z0)))))))))))))))))))) -> 2(2(1(0(1(4(3(2(3(0(0(0(4(3(2(1(1(2(0(2(z0))))))))))))))))))))
   1(c_0(c_4(c_0(c_1(c_3(c_0(c_2(c_3(c_2(c_1(c_2(c_3(c_2(c_4(c_2(c_4(c_3(c_4(c_2(z0)))))))))))))))))))) -> 2(3(0(2(0(2(2(2(3(4(1(0(2(3(1(2(1(2(4(2(z0))))))))))))))))))))
   1(c_4(c_4(c_2(c_3(c_1(c_2(c_3(c_3(c_1(c_0(c_1(c_3(c_2(c_1(c_2(c_1(c_2(c_2(c_2(z0)))))))))))))))))))) -> 2(0(2(0(2(0(2(0(4(2(4(2(3(2(3(1(2(2(2(1(z0))))))))))))))))))))
   1(c_1(c_0(c_0(c_1(c_3(c_2(c_4(c_3(c_1(c_4(c_0(c_4(c_1(c_2(c_2(c_2(c_3(c_3(c_2(z0)))))))))))))))))))) -> 3(1(4(3(1(0(3(4(0(3(2(2(4(0(2(3(3(2(2(0(z0))))))))))))))))))))
   2(z0) -> c_2(z0)
   2(c_1(c_3(c_4(c_1(c_0(c_3(c_2(c_0(c_3(c_0(c_1(c_1(c_4(c_0(c_0(c_2(c_4(c_4(c_1(z0)))))))))))))))))))) -> 3(0(3(2(1(4(1(4(0(0(2(2(0(1(1(0(4(1(2(1(z0))))))))))))))))))))
   2(c_1(c_4(c_4(c_0(c_1(c_2(c_0(c_2(c_3(c_0(c_2(c_1(c_2(c_3(c_0(c_2(c_3(c_1(c_3(z0)))))))))))))))))))) -> 0(3(2(3(2(3(0(2(2(0(2(3(1(3(3(3(1(2(4(2(z0))))))))))))))))))))
   2(c_3(c_4(c_4(c_4(c_3(c_0(c_0(c_2(c_3(c_4(c_3(c_0(c_4(c_3(c_0(c_1(c_2(c_4(c_2(z0)))))))))))))))))))) -> 3(3(2(0(4(0(2(4(2(3(2(2(4(4(0(4(0(3(4(1(z0))))))))))))))))))))
   2(c_0(c_3(c_2(c_0(c_3(c_2(c_4(c_1(c_2(c_3(c_1(c_4(c_1(c_3(c_3(c_3(c_0(c_1(c_3(z0)))))))))))))))))))) -> 3(0(3(2(1(1(1(3(4(0(3(2(0(2(2(3(2(0(3(2(z0))))))))))))))))))))
   2(c_4(c_2(c_2(c_1(c_2(c_4(c_2(c_3(c_0(c_1(c_0(c_2(c_1(c_2(c_0(c_0(c_0(c_4(c_0(z0)))))))))))))))))))) -> 2(3(0(2(0(3(0(2(1(0(4(2(2(1(3(1(3(0(4(3(z0))))))))))))))))))))
   2(c_3(c_1(c_2(c_3(c_3(c_3(c_1(c_1(c_1(c_0(c_1(c_2(c_4(c_0(c_4(c_2(c_1(c_2(c_2(z0)))))))))))))))))))) -> 2(2(0(1(4(3(2(2(4(3(0(2(4(3(2(0(0(1(0(2(z0))))))))))))))))))))
   2(c_4(c_0(c_3(c_1(c_2(c_1(c_1(c_2(c_0(c_2(c_2(c_0(c_3(c_2(c_1(c_1(c_0(c_1(c_3(z0)))))))))))))))))))) -> 2(3(3(1(3(1(2(1(1(0(2(0(0(2(3(3(0(3(3(3(z0))))))))))))))))))))
   2(c_4(c_3(c_2(c_0(c_2(c_4(c_1(c_2(c_0(c_4(c_1(c_2(c_3(c_1(c_2(c_3(c_4(c_1(c_1(z0)))))))))))))))))))) -> 2(0(1(1(2(2(4(3(2(2(1(3(0(1(2(3(0(4(4(4(z0))))))))))))))))))))
   2(c_0(c_0(c_0(c_2(c_2(c_3(c_1(c_3(c_1(c_0(c_4(c_3(c_3(c_0(c_2(c_4(c_1(c_0(c_3(z0)))))))))))))))))))) -> 4(0(3(4(3(4(0(0(2(2(2(1(2(2(2(1(1(2(0(4(z0))))))))))))))))))))
   2(c_4(c_3(c_2(c_2(c_4(c_0(c_3(c_2(c_4(c_3(c_1(c_0(c_4(c_4(c_3(c_3(c_2(c_2(c_1(z0)))))))))))))))))))) -> 3(4(3(0(2(2(2(4(3(2(0(3(0(3(2(0(3(0(4(2(z0))))))))))))))))))))
   2(c_3(c_0(c_1(c_3(c_3(c_4(c_2(c_1(c_4(c_4(c_2(c_3(c_1(c_1(c_1(c_2(c_3(c_0(c_2(z0)))))))))))))))))))) -> 2(2(3(0(4(4(0(0(1(3(3(0(4(3(4(2(2(4(3(2(z0))))))))))))))))))))
   2(c_4(c_0(c_0(c_3(c_2(c_2(c_2(c_1(c_1(c_4(c_0(c_1(c_2(c_2(c_3(c_4(c_2(c_3(c_4(z0)))))))))))))))))))) -> 3(1(3(2(2(4(0(3(2(1(0(0(2(3(3(3(2(3(4(3(z0))))))))))))))))))))
   2(c_0(c_4(c_2(c_2(c_3(c_4(c_0(c_1(c_0(c_3(c_2(c_1(c_3(c_0(c_3(c_1(c_1(c_3(c_0(z0)))))))))))))))))))) -> 0(3(0(1(2(2(2(0(0(3(3(2(1(1(0(4(2(1(2(4(z0))))))))))))))))))))
   2(c_3(c_4(c_0(c_0(c_4(c_3(c_3(c_2(c_3(c_4(c_0(c_2(c_0(c_4(c_4(c_0(c_2(c_4(c_2(z0)))))))))))))))))))) -> 1(3(1(3(3(2(0(2(2(3(0(1(2(2(2(4(1(2(1(1(z0))))))))))))))))))))
   2(c_1(c_3(c_2(c_2(c_0(c_4(c_4(c_0(c_4(c_1(c_2(c_3(c_3(c_0(c_2(c_1(c_4(c_4(c_4(z0)))))))))))))))))))) -> 4(3(2(3(2(2(2(1(4(1(2(2(0(1(1(1(0(0(3(4(z0))))))))))))))))))))
   2(c_0(c_3(c_4(c_1(c_2(c_0(c_2(c_3(c_3(c_1(c_2(c_0(c_1(c_2(c_0(c_4(c_4(c_4(c_2(z0)))))))))))))))))))) -> 2(2(2(4(3(2(0(1(4(1(2(3(0(3(1(3(3(1(2(4(z0))))))))))))))))))))
   2(c_0(c_2(c_1(c_1(c_0(c_1(c_0(c_2(c_2(c_0(c_1(c_2(c_0(c_2(c_4(c_0(c_1(c_2(c_0(z0)))))))))))))))))))) -> 3(0(2(4(1(2(0(4(2(1(3(0(2(3(4(2(3(3(4(0(z0))))))))))))))))))))
   2(c_4(c_4(c_4(c_2(c_2(c_2(c_0(c_4(c_3(c_4(c_3(c_4(c_2(c_3(c_1(c_4(c_3(c_1(c_3(z0)))))))))))))))))))) -> 2(3(4(2(1(1(1(3(2(3(0(2(4(1(2(0(2(1(1(4(z0))))))))))))))))))))
   2(c_3(c_1(c_1(c_3(c_2(c_1(c_1(c_1(c_3(c_2(c_3(c_4(c_2(c_2(c_3(c_4(c_3(c_3(c_0(z0)))))))))))))))))))) -> 0(4(4(2(4(0(2(3(2(0(2(1(2(4(4(3(2(3(2(2(z0))))))))))))))))))))
   2(c_0(c_2(c_4(c_2(c_2(c_2(c_4(c_3(c_0(c_0(c_1(c_0(c_1(c_0(c_3(c_0(c_3(c_2(c_4(z0)))))))))))))))))))) -> 0(3(0(2(2(0(2(1(3(2(3(3(0(2(0(4(3(3(3(2(z0))))))))))))))))))))
   2(c_4(c_1(c_3(c_2(c_2(c_1(c_4(c_2(c_1(c_1(c_1(c_2(c_2(c_2(c_0(c_3(c_0(c_2(c_4(z0)))))))))))))))))))) -> 3(3(1(4(3(2(3(2(2(3(2(1(1(0(3(3(3(4(0(2(z0))))))))))))))))))))
   2(c_0(c_0(c_0(c_3(c_1(c_0(c_2(c_4(c_2(c_2(c_2(c_4(c_0(c_4(c_0(c_1(c_0(c_3(c_4(z0)))))))))))))))))))) -> 1(4(2(4(4(4(4(3(2(4(4(3(2(2(0(0(4(1(2(2(z0))))))))))))))))))))
   2(c_3(c_3(c_3(c_0(c_0(c_1(c_0(c_2(c_4(c_3(c_1(c_1(c_3(c_2(c_1(c_2(c_2(c_2(c_1(z0)))))))))))))))))))) -> 3(4(2(2(0(0(0(0(2(4(2(3(2(0(3(2(3(0(2(3(z0))))))))))))))))))))
   2(c_1(c_4(c_1(c_3(c_4(c_3(c_2(c_2(c_0(c_1(c_0(c_2(c_1(c_0(c_3(c_4(c_2(c_4(c_2(z0)))))))))))))))))))) -> 4(2(2(2(3(3(4(1(4(0(2(3(2(1(0(3(2(3(3(4(z0))))))))))))))))))))
   2(c_4(c_2(c_2(c_1(c_1(c_2(c_3(c_0(c_1(c_0(c_0(c_3(c_2(c_1(c_0(c_0(c_1(c_0(c_2(z0)))))))))))))))))))) -> 2(2(2(3(3(4(1(4(3(0(0(2(0(1(1(2(3(0(2(4(z0))))))))))))))))))))
   2(c_4(c_0(c_0(c_4(c_2(c_1(c_3(c_3(c_3(c_2(c_0(c_4(c_1(c_4(c_0(c_2(c_1(c_3(c_2(z0)))))))))))))))))))) -> 0(4(2(4(0(3(2(1(2(4(2(2(3(1(0(1(2(3(3(2(z0))))))))))))))))))))
   2(c_0(c_4(c_2(c_1(c_3(c_4(c_4(c_2(c_1(c_0(c_3(c_2(c_1(c_3(c_2(c_1(c_4(c_2(c_4(z0)))))))))))))))))))) -> 0(2(4(2(2(2(0(2(4(3(3(2(3(3(4(1(0(3(0(4(z0))))))))))))))))))))
   3(z0) -> c_3(z0)
   3(c_0(c_1(c_4(c_2(c_2(c_3(c_4(c_4(c_3(c_0(c_2(c_1(c_4(c_1(c_0(c_1(c_0(c_2(c_3(z0)))))))))))))))))))) -> 4(2(0(4(1(1(2(0(2(4(0(3(4(4(3(2(0(3(3(2(z0))))))))))))))))))))
   3(c_1(c_1(c_1(c_2(c_0(c_1(c_3(c_3(c_2(c_1(c_3(c_4(c_1(c_2(c_2(c_3(c_3(c_2(c_3(z0)))))))))))))))))))) -> 2(3(2(2(4(3(4(2(3(1(2(2(4(2(3(0(4(3(0(3(z0))))))))))))))))))))
   3(c_2(c_2(c_3(c_4(c_3(c_2(c_2(c_0(c_4(c_1(c_4(c_3(c_4(c_2(c_1(c_4(c_1(c_0(c_2(z0)))))))))))))))))))) -> 2(1(3(3(3(2(2(4(0(4(0(4(2(0(2(1(3(3(3(3(z0))))))))))))))))))))
   3(c_3(c_2(c_4(c_3(c_0(c_2(c_1(c_4(c_3(c_3(c_4(c_4(c_1(c_1(c_4(c_3(c_3(c_2(c_2(z0)))))))))))))))))))) -> 4(1(2(3(2(0(3(3(0(3(2(3(1(1(2(0(1(0(2(2(z0))))))))))))))))))))
   3(c_1(c_4(c_3(c_4(c_2(c_1(c_1(c_1(c_4(c_3(c_1(c_3(c_2(c_2(c_4(c_2(c_2(c_1(c_1(z0)))))))))))))))))))) -> 2(1(2(4(2(4(1(4(2(1(4(0(0(1(2(3(3(2(1(3(z0))))))))))))))))))))
   3(c_3(c_0(c_4(c_4(c_1(c_0(c_2(c_3(c_2(c_1(c_2(c_2(c_3(c_3(c_1(c_0(c_2(c_4(c_1(z0)))))))))))))))))))) -> 4(2(1(2(3(3(3(3(0(2(0(3(0(2(3(1(2(1(1(0(z0))))))))))))))))))))
   3(c_1(c_1(c_0(c_0(c_2(c_2(c_4(c_2(c_2(c_2(c_2(c_1(c_2(c_2(c_1(c_1(c_1(c_1(c_4(z0)))))))))))))))))))) -> 4(2(1(4(1(3(2(2(4(4(2(3(3(3(3(2(4(3(2(3(z0))))))))))))))))))))
   3(c_0(c_0(c_1(c_0(c_2(c_3(c_3(c_2(c_0(c_2(c_1(c_1(c_0(c_4(c_3(c_2(c_0(c_4(c_2(z0)))))))))))))))))))) -> 1(0(0(2(1(4(4(0(2(3(0(2(4(4(2(3(2(4(0(2(z0))))))))))))))))))))
   3(c_2(c_3(c_2(c_2(c_0(c_0(c_4(c_1(c_0(c_0(c_4(c_0(c_3(c_3(c_2(c_2(c_1(c_0(c_3(z0)))))))))))))))))))) -> 1(3(1(2(0(4(0(3(2(4(3(0(2(1(2(2(1(2(2(3(z0))))))))))))))))))))
   3(c_4(c_4(c_4(c_3(c_1(c_4(c_3(c_0(c_2(c_2(c_0(c_4(c_4(c_1(c_3(c_3(c_3(c_2(c_2(z0)))))))))))))))))))) -> 4(2(2(3(0(0(3(1(1(1(4(4(3(0(3(2(1(0(2(2(z0))))))))))))))))))))
   3(c_0(c_1(c_0(c_2(c_2(c_3(c_1(c_2(c_1(c_1(c_1(c_0(c_0(c_2(c_2(c_1(c_3(c_1(c_3(z0)))))))))))))))))))) -> 3(1(4(1(2(1(0(3(2(0(0(1(0(2(4(0(2(2(3(2(z0))))))))))))))))))))
   3(c_3(c_1(c_0(c_2(c_4(c_2(c_3(c_1(c_0(c_2(c_4(c_4(c_4(c_0(c_0(c_2(c_1(c_1(c_2(z0)))))))))))))))))))) -> 2(4(2(3(2(3(4(0(4(2(4(3(1(0(1(2(0(3(2(0(z0))))))))))))))))))))
   3(c_2(c_0(c_3(c_2(c_4(c_4(c_2(c_2(c_2(c_0(c_1(c_2(c_2(c_3(c_4(c_0(c_2(c_4(c_1(z0)))))))))))))))))))) -> 0(0(2(3(0(2(1(2(2(2(3(2(1(3(4(3(4(2(2(2(z0))))))))))))))))))))
   3(c_3(c_3(c_0(c_2(c_0(c_2(c_2(c_1(c_0(c_0(c_4(c_4(c_2(c_0(c_2(c_3(c_0(c_2(c_4(z0)))))))))))))))))))) -> 2(3(3(2(4(3(4(2(3(3(1(0(1(2(4(3(0(3(3(2(z0))))))))))))))))))))
   3(c_0(c_1(c_4(c_3(c_1(c_2(c_0(c_3(c_2(c_3(c_2(c_2(c_0(c_2(c_2(c_3(c_1(c_2(c_2(z0)))))))))))))))))))) -> 0(2(2(3(0(2(0(3(1(3(1(2(2(2(3(2(2(0(4(2(z0))))))))))))))))))))
   3(c_4(c_2(c_1(c_4(c_1(c_0(c_2(c_4(c_3(c_3(c_4(c_3(c_3(c_1(c_2(c_2(c_3(c_3(c_3(z0)))))))))))))))))))) -> 4(2(0(1(2(0(2(0(0(2(1(4(0(3(2(2(3(2(2(4(z0))))))))))))))))))))
   3(c_1(c_0(c_3(c_2(c_2(c_1(c_1(c_4(c_4(c_0(c_2(c_2(c_4(c_3(c_2(c_2(c_3(c_4(c_2(z0)))))))))))))))))))) -> 2(0(4(3(3(2(2(2(4(0(4(3(2(2(2(0(3(0(4(2(z0))))))))))))))))))))
   3(c_0(c_1(c_3(c_2(c_0(c_1(c_3(c_4(c_2(c_3(c_1(c_2(c_2(c_1(c_2(c_3(c_1(c_3(c_1(z0)))))))))))))))))))) -> 2(3(2(3(0(2(1(2(2(4(3(3(3(2(1(0(1(3(2(2(z0))))))))))))))))))))
   3(c_0(c_2(c_4(c_0(c_4(c_0(c_1(c_2(c_1(c_4(c_3(c_0(c_4(c_3(c_0(c_3(c_3(c_3(c_2(z0)))))))))))))))))))) -> 1(0(4(3(1(4(2(3(3(4(3(0(0(2(2(3(4(0(4(2(z0))))))))))))))))))))
   3(c_2(c_0(c_3(c_4(c_4(c_4(c_1(c_0(c_2(c_2(c_1(c_4(c_0(c_0(c_4(c_3(c_2(c_3(c_1(z0)))))))))))))))))))) -> 0(4(0(3(4(2(0(3(1(3(3(1(1(0(3(2(2(3(0(3(z0))))))))))))))))))))
   3(c_0(c_3(c_2(c_0(c_0(c_2(c_2(c_3(c_0(c_0(c_4(c_3(c_4(c_2(c_4(c_2(c_3(c_3(c_3(z0)))))))))))))))))))) -> 3(0(0(1(3(2(2(2(3(3(2(0(1(2(3(3(4(2(2(4(z0))))))))))))))))))))
   4(z0) -> c_4(z0)
   4(c_1(c_4(c_3(c_1(c_0(c_4(c_4(c_1(c_3(c_3(c_2(c_2(c_1(c_2(c_2(c_3(c_2(c_0(c_0(z0)))))))))))))))))))) -> 2(2(4(4(3(3(2(1(4(4(3(2(3(4(1(2(1(1(3(0(z0))))))))))))))))))))
   4(c_1(c_2(c_3(c_2(c_0(c_0(c_1(c_0(c_2(c_3(c_1(c_3(c_2(c_3(c_1(c_0(c_1(c_4(c_2(z0)))))))))))))))))))) -> 1(1(1(0(2(3(0(3(3(2(4(3(3(2(0(2(1(2(3(3(z0))))))))))))))))))))
   4(c_3(c_0(c_3(c_4(c_3(c_3(c_0(c_1(c_3(c_2(c_3(c_3(c_4(c_3(c_0(c_0(c_3(c_4(c_2(z0)))))))))))))))))))) -> 1(1(0(4(0(0(0(2(4(0(2(2(3(2(3(3(0(4(3(2(z0))))))))))))))))))))
   4(c_3(c_2(c_0(c_0(c_3(c_4(c_2(c_0(c_3(c_0(c_1(c_0(c_1(c_1(c_4(c_0(c_2(c_2(c_4(z0)))))))))))))))))))) -> 4(1(2(2(4(4(2(1(4(3(2(0(0(0(2(4(1(2(0(3(z0))))))))))))))))))))
   4(c_0(c_3(c_2(c_0(c_3(c_3(c_2(c_3(c_1(c_4(c_3(c_2(c_2(c_3(c_1(c_3(c_1(c_0(c_4(z0)))))))))))))))))))) -> 0(0(0(2(1(3(3(4(2(4(3(3(2(4(2(3(3(0(0(3(z0))))))))))))))))))))
   4(c_4(c_0(c_3(c_0(c_1(c_3(c_2(c_2(c_2(c_3(c_1(c_0(c_2(c_3(c_3(c_0(c_2(c_4(c_4(z0)))))))))))))))))))) -> 2(1(3(2(2(2(4(0(3(2(2(2(2(2(0(3(0(2(0(3(z0))))))))))))))))))))
   4(c_4(c_4(c_4(c_3(c_2(c_0(c_3(c_2(c_4(c_2(c_4(c_1(c_2(c_1(c_4(c_2(c_3(c_0(c_0(z0)))))))))))))))))))) -> 3(4(2(3(3(2(2(1(3(4(2(3(1(4(4(3(1(1(3(3(z0))))))))))))))))))))
   4(c_0(c_2(c_3(c_1(c_1(c_2(c_3(c_1(c_1(c_2(c_0(c_4(c_3(c_0(c_2(c_3(c_2(c_3(c_3(z0)))))))))))))))))))) -> 2(2(4(2(2(3(0(2(4(2(3(1(3(2(2(3(4(1(0(2(z0))))))))))))))))))))
   4(c_3(c_0(c_3(c_2(c_0(c_2(c_2(c_3(c_1(c_0(c_2(c_0(c_0(c_2(c_3(c_1(c_3(c_4(c_4(z0)))))))))))))))))))) -> 1(4(0(3(3(2(2(2(0(2(3(1(2(3(3(0(3(1(0(1(z0))))))))))))))))))))
   4(c_2(c_4(c_0(c_2(c_3(c_1(c_0(c_2(c_1(c_2(c_2(c_4(c_1(c_4(c_3(c_1(c_0(c_3(c_2(z0)))))))))))))))))))) -> 1(3(0(2(3(2(0(0(0(3(3(2(4(4(3(3(2(4(3(0(z0))))))))))))))))))))
   4(c_2(c_3(c_2(c_2(c_0(c_0(c_4(c_0(c_2(c_0(c_1(c_3(c_0(c_2(c_1(c_0(c_1(c_2(c_4(z0)))))))))))))))))))) -> 1(0(2(0(4(3(4(3(0(3(2(2(4(0(2(1(2(2(4(2(z0))))))))))))))))))))
   4(c_4(c_0(c_3(c_0(c_4(c_2(c_4(c_2(c_3(c_0(c_2(c_2(c_0(c_4(c_3(c_3(c_4(c_2(c_2(z0)))))))))))))))))))) -> 2(3(3(1(0(2(2(3(1(4(0(0(1(2(2(0(4(4(2(2(z0))))))))))))))))))))
   4(c_0(c_0(c_0(c_0(c_4(c_2(c_1(c_1(c_1(c_1(c_3(c_2(c_4(c_0(c_0(c_3(c_2(c_4(c_1(z0)))))))))))))))))))) -> 2(1(2(2(0(2(4(3(1(0(4(1(4(0(3(4(1(3(4(4(z0))))))))))))))))))))
   4(c_4(c_2(c_2(c_0(c_0(c_3(c_0(c_3(c_1(c_2(c_3(c_3(c_1(c_2(c_2(c_2(c_4(c_4(c_4(z0)))))))))))))))))))) -> 4(2(3(0(2(2(0(2(2(4(3(1(1(4(4(2(4(2(3(3(z0))))))))))))))))))))
   4(c_2(c_3(c_0(c_2(c_2(c_4(c_0(c_0(c_3(c_1(c_2(c_0(c_4(c_2(c_0(c_2(c_3(c_3(c_0(z0)))))))))))))))))))) -> 2(2(2(2(4(0(3(0(4(1(2(2(1(3(3(2(0(3(1(0(z0))))))))))))))))))))
   4(c_1(c_1(c_1(c_4(c_2(c_4(c_2(c_0(c_2(c_3(c_3(c_1(c_3(c_0(c_2(c_2(c_0(c_0(c_3(z0)))))))))))))))))))) -> 0(4(2(1(2(2(2(0(4(2(3(3(0(2(1(4(0(1(4(2(z0))))))))))))))))))))
   4(c_0(c_2(c_2(c_4(c_3(c_1(c_3(c_4(c_0(c_0(c_0(c_2(c_2(c_2(c_3(c_0(c_4(c_2(c_4(z0)))))))))))))))))))) -> 2(1(3(3(4(4(1(0(3(2(2(3(0(0(4(3(3(4(2(2(z0))))))))))))))))))))
   4(c_3(c_3(c_3(c_0(c_2(c_1(c_2(c_2(c_3(c_2(c_0(c_1(c_1(c_4(c_1(c_3(c_4(c_2(c_4(z0)))))))))))))))))))) -> 3(4(1(3(3(2(1(2(1(1(0(2(2(0(0(1(1(2(3(2(z0))))))))))))))))))))
   4(c_4(c_4(c_1(c_3(c_3(c_4(c_4(c_2(c_2(c_0(c_1(c_0(c_2(c_4(c_3(c_2(c_2(c_0(c_2(z0)))))))))))))))))))) -> 4(3(2(3(2(2(0(0(1(3(4(2(2(2(4(4(1(2(0(2(z0))))))))))))))))))))
   4(c_0(c_4(c_2(c_2(c_3(c_3(c_2(c_2(c_1(c_2(c_1(c_0(c_1(c_0(c_3(c_2(c_1(c_2(c_0(z0)))))))))))))))))))) -> 1(1(2(2(0(0(4(4(2(3(3(3(2(2(2(0(3(0(0(2(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_1(c_4(c_2(c_2(c_0(c_3(c_2(c_0(c_4(c_1(c_3(c_2(c_0(c_0(c_3(c_2(c_3(c_0(c_2(z0)))))))))))))))))))) -> c11(2'(4(2(1(2(2(3(0(2(0(1(2(2(0(1(2(0(0(4(2(z0)))))))))))))))))))), 4'(2(1(2(2(3(0(2(0(1(2(2(0(1(2(0(0(4(2(z0))))))))))))))))))), 2'(1(2(2(3(0(2(0(1(2(2(0(1(2(0(0(4(2(z0)))))))))))))))))), 1'(2(2(3(0(2(0(1(2(2(0(1(2(0(0(4(2(z0))))))))))))))))), 2'(2(3(0(2(0(1(2(2(0(1(2(0(0(4(2(z0)))))))))))))))), 2'(3(0(2(0(1(2(2(0(1(2(0(0(4(2(z0))))))))))))))), 3'(0(2(0(1(2(2(0(1(2(0(0(4(2(z0)))))))))))))), 0'(2(0(1(2(2(0(1(2(0(0(4(2(z0))))))))))))), 2'(0(1(2(2(0(1(2(0(0(4(2(z0)))))))))))), 0'(1(2(2(0(1(2(0(0(4(2(z0))))))))))), 1'(2(2(0(1(2(0(0(4(2(z0)))))))))), 2'(2(0(1(2(0(0(4(2(z0))))))))), 2'(0(1(2(0(0(4(2(z0)))))))), 0'(1(2(0(0(4(2(z0))))))), 1'(2(0(0(4(2(z0)))))), 2'(0(0(4(2(z0))))), 0'(0(4(2(z0)))), 0'(4(2(z0))), 4'(2(z0)), 2'(z0))
   0'(c_0(c_2(c_1(c_0(c_3(c_1(c_3(c_1(c_3(c_3(c_3(c_2(c_4(c_0(c_0(c_1(c_2(c_0(c_4(z0)))))))))))))))))))) -> c12(4'(4(1(4(4(3(2(1(1(0(2(2(1(2(1(0(3(4(2(2(z0)))))))))))))))))))), 4'(1(4(4(3(2(1(1(0(2(2(1(2(1(0(3(4(2(2(z0))))))))))))))))))), 1'(4(4(3(2(1(1(0(2(2(1(2(1(0(3(4(2(2(z0)))))))))))))))))), 4'(4(3(2(1(1(0(2(2(1(2(1(0(3(4(2(2(z0))))))))))))))))), 4'(3(2(1(1(0(2(2(1(2(1(0(3(4(2(2(z0)))))))))))))))), 3'(2(1(1(0(2(2(1(2(1(0(3(4(2(2(z0))))))))))))))), 2'(1(1(0(2(2(1(2(1(0(3(4(2(2(z0)))))))))))))), 1'(1(0(2(2(1(2(1(0(3(4(2(2(z0))))))))))))), 1'(0(2(2(1(2(1(0(3(4(2(2(z0)))))))))))), 0'(2(2(1(2(1(0(3(4(2(2(z0))))))))))), 2'(2(1(2(1(0(3(4(2(2(z0)))))))))), 2'(1(2(1(0(3(4(2(2(z0))))))))), 1'(2(1(0(3(4(2(2(z0)))))))), 2'(1(0(3(4(2(2(z0))))))), 1'(0(3(4(2(2(z0)))))), 0'(3(4(2(2(z0))))), 3'(4(2(2(z0)))), 4'(2(2(z0))), 2'(2(z0)), 2'(z0))
   0'(c_3(c_2(c_0(c_4(c_2(c_0(c_1(c_1(c_3(c_2(c_3(c_4(c_4(c_1(c_2(c_4(c_2(c_4(c_2(z0)))))))))))))))))))) -> c13(2'(2(4(3(4(2(3(4(1(2(1(0(0(2(0(4(1(4(2(2(z0)))))))))))))))))))), 2'(4(3(4(2(3(4(1(2(1(0(0(2(0(4(1(4(2(2(z0))))))))))))))))))), 4'(3(4(2(3(4(1(2(1(0(0(2(0(4(1(4(2(2(z0)))))))))))))))))), 3'(4(2(3(4(1(2(1(0(0(2(0(4(1(4(2(2(z0))))))))))))))))), 4'(2(3(4(1(2(1(0(0(2(0(4(1(4(2(2(z0)))))))))))))))), 2'(3(4(1(2(1(0(0(2(0(4(1(4(2(2(z0))))))))))))))), 3'(4(1(2(1(0(0(2(0(4(1(4(2(2(z0)))))))))))))), 4'(1(2(1(0(0(2(0(4(1(4(2(2(z0))))))))))))), 1'(2(1(0(0(2(0(4(1(4(2(2(z0)))))))))))), 2'(1(0(0(2(0(4(1(4(2(2(z0))))))))))), 1'(0(0(2(0(4(1(4(2(2(z0)))))))))), 0'(0(2(0(4(1(4(2(2(z0))))))))), 0'(2(0(4(1(4(2(2(z0)))))))), 2'(0(4(1(4(2(2(z0))))))), 0'(4(1(4(2(2(z0)))))), 4'(1(4(2(2(z0))))), 1'(4(2(2(z0)))), 4'(2(2(z0))), 2'(2(z0)), 2'(z0))
   0'(c_1(c_4(c_3(c_2(c_3(c_0(c_1(c_2(c_4(c_0(c_3(c_4(c_2(c_0(c_0(c_3(c_2(c_4(c_2(z0)))))))))))))))))))) -> c14(2'(1(3(0(0(1(4(3(1(3(2(2(2(1(3(0(2(0(0(2(z0)))))))))))))))))))), 1'(3(0(0(1(4(3(1(3(2(2(2(1(3(0(2(0(0(2(z0))))))))))))))))))), 3'(0(0(1(4(3(1(3(2(2(2(1(3(0(2(0(0(2(z0)))))))))))))))))), 0'(0(1(4(3(1(3(2(2(2(1(3(0(2(0(0(2(z0))))))))))))))))), 0'(1(4(3(1(3(2(2(2(1(3(0(2(0(0(2(z0)))))))))))))))), 1'(4(3(1(3(2(2(2(1(3(0(2(0(0(2(z0))))))))))))))), 4'(3(1(3(2(2(2(1(3(0(2(0(0(2(z0)))))))))))))), 3'(1(3(2(2(2(1(3(0(2(0(0(2(z0))))))))))))), 1'(3(2(2(2(1(3(0(2(0(0(2(z0)))))))))))), 3'(2(2(2(1(3(0(2(0(0(2(z0))))))))))), 2'(2(2(1(3(0(2(0(0(2(z0)))))))))), 2'(2(1(3(0(2(0(0(2(z0))))))))), 2'(1(3(0(2(0(0(2(z0)))))))), 1'(3(0(2(0(0(2(z0))))))), 3'(0(2(0(0(2(z0)))))), 0'(2(0(0(2(z0))))), 2'(0(0(2(z0)))), 0'(0(2(z0))), 0'(2(z0)), 2'(z0))
   0'(c_3(c_3(c_2(c_4(c_1(c_0(c_0(c_1(c_2(c_0(c_4(c_3(c_3(c_4(c_4(c_4(c_3(c_1(c_2(z0)))))))))))))))))))) -> c15(4'(1(2(2(2(2(4(4(2(0(3(2(1(0(4(4(1(4(2(0(z0)))))))))))))))))))), 1'(2(2(2(2(4(4(2(0(3(2(1(0(4(4(1(4(2(0(z0))))))))))))))))))), 2'(2(2(2(4(4(2(0(3(2(1(0(4(4(1(4(2(0(z0)))))))))))))))))), 2'(2(2(4(4(2(0(3(2(1(0(4(4(1(4(2(0(z0))))))))))))))))), 2'(2(4(4(2(0(3(2(1(0(4(4(1(4(2(0(z0)))))))))))))))), 2'(4(4(2(0(3(2(1(0(4(4(1(4(2(0(z0))))))))))))))), 4'(4(2(0(3(2(1(0(4(4(1(4(2(0(z0)))))))))))))), 4'(2(0(3(2(1(0(4(4(1(4(2(0(z0))))))))))))), 2'(0(3(2(1(0(4(4(1(4(2(0(z0)))))))))))), 0'(3(2(1(0(4(4(1(4(2(0(z0))))))))))), 3'(2(1(0(4(4(1(4(2(0(z0)))))))))), 2'(1(0(4(4(1(4(2(0(z0))))))))), 1'(0(4(4(1(4(2(0(z0)))))))), 0'(4(4(1(4(2(0(z0))))))), 4'(4(1(4(2(0(z0)))))), 4'(1(4(2(0(z0))))), 1'(4(2(0(z0)))), 4'(2(0(z0))), 2'(0(z0)), 0'(z0))
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   4'(c_0(c_0(c_0(c_0(c_4(c_2(c_1(c_1(c_1(c_1(c_3(c_2(c_4(c_0(c_0(c_3(c_2(c_4(c_1(z0)))))))))))))))))))) -> c106(2'(1(2(2(0(2(4(3(1(0(4(1(4(0(3(4(1(3(4(4(z0)))))))))))))))))))), 1'(2(2(0(2(4(3(1(0(4(1(4(0(3(4(1(3(4(4(z0))))))))))))))))))), 2'(2(0(2(4(3(1(0(4(1(4(0(3(4(1(3(4(4(z0)))))))))))))))))), 2'(0(2(4(3(1(0(4(1(4(0(3(4(1(3(4(4(z0))))))))))))))))), 0'(2(4(3(1(0(4(1(4(0(3(4(1(3(4(4(z0)))))))))))))))), 2'(4(3(1(0(4(1(4(0(3(4(1(3(4(4(z0))))))))))))))), 4'(3(1(0(4(1(4(0(3(4(1(3(4(4(z0)))))))))))))), 3'(1(0(4(1(4(0(3(4(1(3(4(4(z0))))))))))))), 1'(0(4(1(4(0(3(4(1(3(4(4(z0)))))))))))), 0'(4(1(4(0(3(4(1(3(4(4(z0))))))))))), 4'(1(4(0(3(4(1(3(4(4(z0)))))))))), 1'(4(0(3(4(1(3(4(4(z0))))))))), 4'(0(3(4(1(3(4(4(z0)))))))), 0'(3(4(1(3(4(4(z0))))))), 3'(4(1(3(4(4(z0)))))), 4'(1(3(4(4(z0))))), 1'(3(4(4(z0)))), 3'(4(4(z0))), 4'(4(z0)), 4'(z0))
   4'(c_4(c_2(c_2(c_0(c_0(c_3(c_0(c_3(c_1(c_2(c_3(c_3(c_1(c_2(c_2(c_2(c_4(c_4(c_4(z0)))))))))))))))))))) -> c107(4'(2(3(0(2(2(0(2(2(4(3(1(1(4(4(2(4(2(3(3(z0)))))))))))))))))))), 2'(3(0(2(2(0(2(2(4(3(1(1(4(4(2(4(2(3(3(z0))))))))))))))))))), 3'(0(2(2(0(2(2(4(3(1(1(4(4(2(4(2(3(3(z0)))))))))))))))))), 0'(2(2(0(2(2(4(3(1(1(4(4(2(4(2(3(3(z0))))))))))))))))), 2'(2(0(2(2(4(3(1(1(4(4(2(4(2(3(3(z0)))))))))))))))), 2'(0(2(2(4(3(1(1(4(4(2(4(2(3(3(z0))))))))))))))), 0'(2(2(4(3(1(1(4(4(2(4(2(3(3(z0)))))))))))))), 2'(2(4(3(1(1(4(4(2(4(2(3(3(z0))))))))))))), 2'(4(3(1(1(4(4(2(4(2(3(3(z0)))))))))))), 4'(3(1(1(4(4(2(4(2(3(3(z0))))))))))), 3'(1(1(4(4(2(4(2(3(3(z0)))))))))), 1'(1(4(4(2(4(2(3(3(z0))))))))), 1'(4(4(2(4(2(3(3(z0)))))))), 4'(4(2(4(2(3(3(z0))))))), 4'(2(4(2(3(3(z0)))))), 2'(4(2(3(3(z0))))), 4'(2(3(3(z0)))), 2'(3(3(z0))), 3'(3(z0)), 3'(z0))
   4'(c_2(c_3(c_0(c_2(c_2(c_4(c_0(c_0(c_3(c_1(c_2(c_0(c_4(c_2(c_0(c_2(c_3(c_3(c_0(z0)))))))))))))))))))) -> c108(2'(2(2(2(4(0(3(0(4(1(2(2(1(3(3(2(0(3(1(0(z0)))))))))))))))))))), 2'(2(2(4(0(3(0(4(1(2(2(1(3(3(2(0(3(1(0(z0))))))))))))))))))), 2'(2(4(0(3(0(4(1(2(2(1(3(3(2(0(3(1(0(z0)))))))))))))))))), 2'(4(0(3(0(4(1(2(2(1(3(3(2(0(3(1(0(z0))))))))))))))))), 4'(0(3(0(4(1(2(2(1(3(3(2(0(3(1(0(z0)))))))))))))))), 0'(3(0(4(1(2(2(1(3(3(2(0(3(1(0(z0))))))))))))))), 3'(0(4(1(2(2(1(3(3(2(0(3(1(0(z0)))))))))))))), 0'(4(1(2(2(1(3(3(2(0(3(1(0(z0))))))))))))), 4'(1(2(2(1(3(3(2(0(3(1(0(z0)))))))))))), 1'(2(2(1(3(3(2(0(3(1(0(z0))))))))))), 2'(2(1(3(3(2(0(3(1(0(z0)))))))))), 2'(1(3(3(2(0(3(1(0(z0))))))))), 1'(3(3(2(0(3(1(0(z0)))))))), 3'(3(2(0(3(1(0(z0))))))), 3'(2(0(3(1(0(z0)))))), 2'(0(3(1(0(z0))))), 0'(3(1(0(z0)))), 3'(1(0(z0))), 1'(0(z0)), 0'(z0))
   4'(c_1(c_1(c_1(c_4(c_2(c_4(c_2(c_0(c_2(c_3(c_3(c_1(c_3(c_0(c_2(c_2(c_0(c_0(c_3(z0)))))))))))))))))))) -> c109(0'(4(2(1(2(2(2(0(4(2(3(3(0(2(1(4(0(1(4(2(z0)))))))))))))))))))), 4'(2(1(2(2(2(0(4(2(3(3(0(2(1(4(0(1(4(2(z0))))))))))))))))))), 2'(1(2(2(2(0(4(2(3(3(0(2(1(4(0(1(4(2(z0)))))))))))))))))), 1'(2(2(2(0(4(2(3(3(0(2(1(4(0(1(4(2(z0))))))))))))))))), 2'(2(2(0(4(2(3(3(0(2(1(4(0(1(4(2(z0)))))))))))))))), 2'(2(0(4(2(3(3(0(2(1(4(0(1(4(2(z0))))))))))))))), 2'(0(4(2(3(3(0(2(1(4(0(1(4(2(z0)))))))))))))), 0'(4(2(3(3(0(2(1(4(0(1(4(2(z0))))))))))))), 4'(2(3(3(0(2(1(4(0(1(4(2(z0)))))))))))), 2'(3(3(0(2(1(4(0(1(4(2(z0))))))))))), 3'(3(0(2(1(4(0(1(4(2(z0)))))))))), 3'(0(2(1(4(0(1(4(2(z0))))))))), 0'(2(1(4(0(1(4(2(z0)))))))), 2'(1(4(0(1(4(2(z0))))))), 1'(4(0(1(4(2(z0)))))), 4'(0(1(4(2(z0))))), 0'(1(4(2(z0)))), 1'(4(2(z0))), 4'(2(z0)), 2'(z0))
   4'(c_0(c_2(c_2(c_4(c_3(c_1(c_3(c_4(c_0(c_0(c_0(c_2(c_2(c_2(c_3(c_0(c_4(c_2(c_4(z0)))))))))))))))))))) -> c110(2'(1(3(3(4(4(1(0(3(2(2(3(0(0(4(3(3(4(2(2(z0)))))))))))))))))))), 1'(3(3(4(4(1(0(3(2(2(3(0(0(4(3(3(4(2(2(z0))))))))))))))))))), 3'(3(4(4(1(0(3(2(2(3(0(0(4(3(3(4(2(2(z0)))))))))))))))))), 3'(4(4(1(0(3(2(2(3(0(0(4(3(3(4(2(2(z0))))))))))))))))), 4'(4(1(0(3(2(2(3(0(0(4(3(3(4(2(2(z0)))))))))))))))), 4'(1(0(3(2(2(3(0(0(4(3(3(4(2(2(z0))))))))))))))), 1'(0(3(2(2(3(0(0(4(3(3(4(2(2(z0)))))))))))))), 0'(3(2(2(3(0(0(4(3(3(4(2(2(z0))))))))))))), 3'(2(2(3(0(0(4(3(3(4(2(2(z0)))))))))))), 2'(2(3(0(0(4(3(3(4(2(2(z0))))))))))), 2'(3(0(0(4(3(3(4(2(2(z0)))))))))), 3'(0(0(4(3(3(4(2(2(z0))))))))), 0'(0(4(3(3(4(2(2(z0)))))))), 0'(4(3(3(4(2(2(z0))))))), 4'(3(3(4(2(2(z0)))))), 3'(3(4(2(2(z0))))), 3'(4(2(2(z0)))), 4'(2(2(z0))), 2'(2(z0)), 2'(z0))
   4'(c_3(c_3(c_3(c_0(c_2(c_1(c_2(c_2(c_3(c_2(c_0(c_1(c_1(c_4(c_1(c_3(c_4(c_2(c_4(z0)))))))))))))))))))) -> c111(3'(4(1(3(3(2(1(2(1(1(0(2(2(0(0(1(1(2(3(2(z0)))))))))))))))))))), 4'(1(3(3(2(1(2(1(1(0(2(2(0(0(1(1(2(3(2(z0))))))))))))))))))), 1'(3(3(2(1(2(1(1(0(2(2(0(0(1(1(2(3(2(z0)))))))))))))))))), 3'(3(2(1(2(1(1(0(2(2(0(0(1(1(2(3(2(z0))))))))))))))))), 3'(2(1(2(1(1(0(2(2(0(0(1(1(2(3(2(z0)))))))))))))))), 2'(1(2(1(1(0(2(2(0(0(1(1(2(3(2(z0))))))))))))))), 1'(2(1(1(0(2(2(0(0(1(1(2(3(2(z0)))))))))))))), 2'(1(1(0(2(2(0(0(1(1(2(3(2(z0))))))))))))), 1'(1(0(2(2(0(0(1(1(2(3(2(z0)))))))))))), 1'(0(2(2(0(0(1(1(2(3(2(z0))))))))))), 0'(2(2(0(0(1(1(2(3(2(z0)))))))))), 2'(2(0(0(1(1(2(3(2(z0))))))))), 2'(0(0(1(1(2(3(2(z0)))))))), 0'(0(1(1(2(3(2(z0))))))), 0'(1(1(2(3(2(z0)))))), 1'(1(2(3(2(z0))))), 1'(2(3(2(z0)))), 2'(3(2(z0))), 3'(2(z0)), 2'(z0))
   4'(c_4(c_4(c_1(c_3(c_3(c_4(c_4(c_2(c_2(c_0(c_1(c_0(c_2(c_4(c_3(c_2(c_2(c_0(c_2(z0)))))))))))))))))))) -> c112(4'(3(2(3(2(2(0(0(1(3(4(2(2(2(4(4(1(2(0(2(z0)))))))))))))))))))), 3'(2(3(2(2(0(0(1(3(4(2(2(2(4(4(1(2(0(2(z0))))))))))))))))))), 2'(3(2(2(0(0(1(3(4(2(2(2(4(4(1(2(0(2(z0)))))))))))))))))), 3'(2(2(0(0(1(3(4(2(2(2(4(4(1(2(0(2(z0))))))))))))))))), 2'(2(0(0(1(3(4(2(2(2(4(4(1(2(0(2(z0)))))))))))))))), 2'(0(0(1(3(4(2(2(2(4(4(1(2(0(2(z0))))))))))))))), 0'(0(1(3(4(2(2(2(4(4(1(2(0(2(z0)))))))))))))), 0'(1(3(4(2(2(2(4(4(1(2(0(2(z0))))))))))))), 1'(3(4(2(2(2(4(4(1(2(0(2(z0)))))))))))), 3'(4(2(2(2(4(4(1(2(0(2(z0))))))))))), 4'(2(2(2(4(4(1(2(0(2(z0)))))))))), 2'(2(2(4(4(1(2(0(2(z0))))))))), 2'(2(4(4(1(2(0(2(z0)))))))), 2'(4(4(1(2(0(2(z0))))))), 4'(4(1(2(0(2(z0)))))), 4'(1(2(0(2(z0))))), 1'(2(0(2(z0)))), 2'(0(2(z0))), 0'(2(z0)), 2'(z0))
   4'(c_0(c_4(c_2(c_2(c_3(c_3(c_2(c_2(c_1(c_2(c_1(c_0(c_1(c_0(c_3(c_2(c_1(c_2(c_0(z0)))))))))))))))))))) -> c113(1'(1(2(2(0(0(4(4(2(3(3(3(2(2(2(0(3(0(0(2(z0)))))))))))))))))))), 1'(2(2(0(0(4(4(2(3(3(3(2(2(2(0(3(0(0(2(z0))))))))))))))))))), 2'(2(0(0(4(4(2(3(3(3(2(2(2(0(3(0(0(2(z0)))))))))))))))))), 2'(0(0(4(4(2(3(3(3(2(2(2(0(3(0(0(2(z0))))))))))))))))), 0'(0(4(4(2(3(3(3(2(2(2(0(3(0(0(2(z0)))))))))))))))), 0'(4(4(2(3(3(3(2(2(2(0(3(0(0(2(z0))))))))))))))), 4'(4(2(3(3(3(2(2(2(0(3(0(0(2(z0)))))))))))))), 4'(2(3(3(3(2(2(2(0(3(0(0(2(z0))))))))))))), 2'(3(3(3(2(2(2(0(3(0(0(2(z0)))))))))))), 3'(3(3(2(2(2(0(3(0(0(2(z0))))))))))), 3'(3(2(2(2(0(3(0(0(2(z0)))))))))), 3'(2(2(2(0(3(0(0(2(z0))))))))), 2'(2(2(0(3(0(0(2(z0)))))))), 2'(2(0(3(0(0(2(z0))))))), 2'(0(3(0(0(2(z0)))))), 0'(3(0(0(2(z0))))), 3'(0(0(2(z0)))), 0'(0(2(z0))), 0'(2(z0)), 2'(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_1(c_4(c_2(c_2(c_0(c_3(c_2(c_0(c_4(c_1(c_3(c_2(c_0(c_0(c_3(c_2(c_3(c_0(c_2(z0)))))))))))))))))))) -> c11(2'(4(2(1(2(2(3(0(2(0(1(2(2(0(1(2(0(0(4(2(z0)))))))))))))))))))), 4'(2(1(2(2(3(0(2(0(1(2(2(0(1(2(0(0(4(2(z0))))))))))))))))))), 2'(1(2(2(3(0(2(0(1(2(2(0(1(2(0(0(4(2(z0)))))))))))))))))), 1'(2(2(3(0(2(0(1(2(2(0(1(2(0(0(4(2(z0))))))))))))))))), 2'(2(3(0(2(0(1(2(2(0(1(2(0(0(4(2(z0)))))))))))))))), 2'(3(0(2(0(1(2(2(0(1(2(0(0(4(2(z0))))))))))))))), 3'(0(2(0(1(2(2(0(1(2(0(0(4(2(z0)))))))))))))), 0'(2(0(1(2(2(0(1(2(0(0(4(2(z0))))))))))))), 2'(0(1(2(2(0(1(2(0(0(4(2(z0)))))))))))), 0'(1(2(2(0(1(2(0(0(4(2(z0))))))))))), 1'(2(2(0(1(2(0(0(4(2(z0)))))))))), 2'(2(0(1(2(0(0(4(2(z0))))))))), 2'(0(1(2(0(0(4(2(z0)))))))), 0'(1(2(0(0(4(2(z0))))))), 1'(2(0(0(4(2(z0)))))), 2'(0(0(4(2(z0))))), 0'(0(4(2(z0)))), 0'(4(2(z0))), 4'(2(z0)), 2'(z0))
   0'(c_0(c_2(c_1(c_0(c_3(c_1(c_3(c_1(c_3(c_3(c_3(c_2(c_4(c_0(c_0(c_1(c_2(c_0(c_4(z0)))))))))))))))))))) -> c12(4'(4(1(4(4(3(2(1(1(0(2(2(1(2(1(0(3(4(2(2(z0)))))))))))))))))))), 4'(1(4(4(3(2(1(1(0(2(2(1(2(1(0(3(4(2(2(z0))))))))))))))))))), 1'(4(4(3(2(1(1(0(2(2(1(2(1(0(3(4(2(2(z0)))))))))))))))))), 4'(4(3(2(1(1(0(2(2(1(2(1(0(3(4(2(2(z0))))))))))))))))), 4'(3(2(1(1(0(2(2(1(2(1(0(3(4(2(2(z0)))))))))))))))), 3'(2(1(1(0(2(2(1(2(1(0(3(4(2(2(z0))))))))))))))), 2'(1(1(0(2(2(1(2(1(0(3(4(2(2(z0)))))))))))))), 1'(1(0(2(2(1(2(1(0(3(4(2(2(z0))))))))))))), 1'(0(2(2(1(2(1(0(3(4(2(2(z0)))))))))))), 0'(2(2(1(2(1(0(3(4(2(2(z0))))))))))), 2'(2(1(2(1(0(3(4(2(2(z0)))))))))), 2'(1(2(1(0(3(4(2(2(z0))))))))), 1'(2(1(0(3(4(2(2(z0)))))))), 2'(1(0(3(4(2(2(z0))))))), 1'(0(3(4(2(2(z0)))))), 0'(3(4(2(2(z0))))), 3'(4(2(2(z0)))), 4'(2(2(z0))), 2'(2(z0)), 2'(z0))
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   4'(c_4(c_0(c_3(c_0(c_4(c_2(c_4(c_2(c_3(c_0(c_2(c_2(c_0(c_4(c_3(c_3(c_4(c_2(c_2(z0)))))))))))))))))))) -> c105(2'(3(3(1(0(2(2(3(1(4(0(0(1(2(2(0(4(4(2(2(z0)))))))))))))))))))), 3'(3(1(0(2(2(3(1(4(0(0(1(2(2(0(4(4(2(2(z0))))))))))))))))))), 3'(1(0(2(2(3(1(4(0(0(1(2(2(0(4(4(2(2(z0)))))))))))))))))), 1'(0(2(2(3(1(4(0(0(1(2(2(0(4(4(2(2(z0))))))))))))))))), 0'(2(2(3(1(4(0(0(1(2(2(0(4(4(2(2(z0)))))))))))))))), 2'(2(3(1(4(0(0(1(2(2(0(4(4(2(2(z0))))))))))))))), 2'(3(1(4(0(0(1(2(2(0(4(4(2(2(z0)))))))))))))), 3'(1(4(0(0(1(2(2(0(4(4(2(2(z0))))))))))))), 1'(4(0(0(1(2(2(0(4(4(2(2(z0)))))))))))), 4'(0(0(1(2(2(0(4(4(2(2(z0))))))))))), 0'(0(1(2(2(0(4(4(2(2(z0)))))))))), 0'(1(2(2(0(4(4(2(2(z0))))))))), 1'(2(2(0(4(4(2(2(z0)))))))), 2'(2(0(4(4(2(2(z0))))))), 2'(0(4(4(2(2(z0)))))), 0'(4(4(2(2(z0))))), 4'(4(2(2(z0)))), 4'(2(2(z0))), 2'(2(z0)), 2'(z0))
   4'(c_0(c_0(c_0(c_0(c_4(c_2(c_1(c_1(c_1(c_1(c_3(c_2(c_4(c_0(c_0(c_3(c_2(c_4(c_1(z0)))))))))))))))))))) -> c106(2'(1(2(2(0(2(4(3(1(0(4(1(4(0(3(4(1(3(4(4(z0)))))))))))))))))))), 1'(2(2(0(2(4(3(1(0(4(1(4(0(3(4(1(3(4(4(z0))))))))))))))))))), 2'(2(0(2(4(3(1(0(4(1(4(0(3(4(1(3(4(4(z0)))))))))))))))))), 2'(0(2(4(3(1(0(4(1(4(0(3(4(1(3(4(4(z0))))))))))))))))), 0'(2(4(3(1(0(4(1(4(0(3(4(1(3(4(4(z0)))))))))))))))), 2'(4(3(1(0(4(1(4(0(3(4(1(3(4(4(z0))))))))))))))), 4'(3(1(0(4(1(4(0(3(4(1(3(4(4(z0)))))))))))))), 3'(1(0(4(1(4(0(3(4(1(3(4(4(z0))))))))))))), 1'(0(4(1(4(0(3(4(1(3(4(4(z0)))))))))))), 0'(4(1(4(0(3(4(1(3(4(4(z0))))))))))), 4'(1(4(0(3(4(1(3(4(4(z0)))))))))), 1'(4(0(3(4(1(3(4(4(z0))))))))), 4'(0(3(4(1(3(4(4(z0)))))))), 0'(3(4(1(3(4(4(z0))))))), 3'(4(1(3(4(4(z0)))))), 4'(1(3(4(4(z0))))), 1'(3(4(4(z0)))), 3'(4(4(z0))), 4'(4(z0)), 4'(z0))
   4'(c_4(c_2(c_2(c_0(c_0(c_3(c_0(c_3(c_1(c_2(c_3(c_3(c_1(c_2(c_2(c_2(c_4(c_4(c_4(z0)))))))))))))))))))) -> c107(4'(2(3(0(2(2(0(2(2(4(3(1(1(4(4(2(4(2(3(3(z0)))))))))))))))))))), 2'(3(0(2(2(0(2(2(4(3(1(1(4(4(2(4(2(3(3(z0))))))))))))))))))), 3'(0(2(2(0(2(2(4(3(1(1(4(4(2(4(2(3(3(z0)))))))))))))))))), 0'(2(2(0(2(2(4(3(1(1(4(4(2(4(2(3(3(z0))))))))))))))))), 2'(2(0(2(2(4(3(1(1(4(4(2(4(2(3(3(z0)))))))))))))))), 2'(0(2(2(4(3(1(1(4(4(2(4(2(3(3(z0))))))))))))))), 0'(2(2(4(3(1(1(4(4(2(4(2(3(3(z0)))))))))))))), 2'(2(4(3(1(1(4(4(2(4(2(3(3(z0))))))))))))), 2'(4(3(1(1(4(4(2(4(2(3(3(z0)))))))))))), 4'(3(1(1(4(4(2(4(2(3(3(z0))))))))))), 3'(1(1(4(4(2(4(2(3(3(z0)))))))))), 1'(1(4(4(2(4(2(3(3(z0))))))))), 1'(4(4(2(4(2(3(3(z0)))))))), 4'(4(2(4(2(3(3(z0))))))), 4'(2(4(2(3(3(z0)))))), 2'(4(2(3(3(z0))))), 4'(2(3(3(z0)))), 2'(3(3(z0))), 3'(3(z0)), 3'(z0))
   4'(c_2(c_3(c_0(c_2(c_2(c_4(c_0(c_0(c_3(c_1(c_2(c_0(c_4(c_2(c_0(c_2(c_3(c_3(c_0(z0)))))))))))))))))))) -> c108(2'(2(2(2(4(0(3(0(4(1(2(2(1(3(3(2(0(3(1(0(z0)))))))))))))))))))), 2'(2(2(4(0(3(0(4(1(2(2(1(3(3(2(0(3(1(0(z0))))))))))))))))))), 2'(2(4(0(3(0(4(1(2(2(1(3(3(2(0(3(1(0(z0)))))))))))))))))), 2'(4(0(3(0(4(1(2(2(1(3(3(2(0(3(1(0(z0))))))))))))))))), 4'(0(3(0(4(1(2(2(1(3(3(2(0(3(1(0(z0)))))))))))))))), 0'(3(0(4(1(2(2(1(3(3(2(0(3(1(0(z0))))))))))))))), 3'(0(4(1(2(2(1(3(3(2(0(3(1(0(z0)))))))))))))), 0'(4(1(2(2(1(3(3(2(0(3(1(0(z0))))))))))))), 4'(1(2(2(1(3(3(2(0(3(1(0(z0)))))))))))), 1'(2(2(1(3(3(2(0(3(1(0(z0))))))))))), 2'(2(1(3(3(2(0(3(1(0(z0)))))))))), 2'(1(3(3(2(0(3(1(0(z0))))))))), 1'(3(3(2(0(3(1(0(z0)))))))), 3'(3(2(0(3(1(0(z0))))))), 3'(2(0(3(1(0(z0)))))), 2'(0(3(1(0(z0))))), 0'(3(1(0(z0)))), 3'(1(0(z0))), 1'(0(z0)), 0'(z0))
   4'(c_1(c_1(c_1(c_4(c_2(c_4(c_2(c_0(c_2(c_3(c_3(c_1(c_3(c_0(c_2(c_2(c_0(c_0(c_3(z0)))))))))))))))))))) -> c109(0'(4(2(1(2(2(2(0(4(2(3(3(0(2(1(4(0(1(4(2(z0)))))))))))))))))))), 4'(2(1(2(2(2(0(4(2(3(3(0(2(1(4(0(1(4(2(z0))))))))))))))))))), 2'(1(2(2(2(0(4(2(3(3(0(2(1(4(0(1(4(2(z0)))))))))))))))))), 1'(2(2(2(0(4(2(3(3(0(2(1(4(0(1(4(2(z0))))))))))))))))), 2'(2(2(0(4(2(3(3(0(2(1(4(0(1(4(2(z0)))))))))))))))), 2'(2(0(4(2(3(3(0(2(1(4(0(1(4(2(z0))))))))))))))), 2'(0(4(2(3(3(0(2(1(4(0(1(4(2(z0)))))))))))))), 0'(4(2(3(3(0(2(1(4(0(1(4(2(z0))))))))))))), 4'(2(3(3(0(2(1(4(0(1(4(2(z0)))))))))))), 2'(3(3(0(2(1(4(0(1(4(2(z0))))))))))), 3'(3(0(2(1(4(0(1(4(2(z0)))))))))), 3'(0(2(1(4(0(1(4(2(z0))))))))), 0'(2(1(4(0(1(4(2(z0)))))))), 2'(1(4(0(1(4(2(z0))))))), 1'(4(0(1(4(2(z0)))))), 4'(0(1(4(2(z0))))), 0'(1(4(2(z0)))), 1'(4(2(z0))), 4'(2(z0)), 2'(z0))
   4'(c_0(c_2(c_2(c_4(c_3(c_1(c_3(c_4(c_0(c_0(c_0(c_2(c_2(c_2(c_3(c_0(c_4(c_2(c_4(z0)))))))))))))))))))) -> c110(2'(1(3(3(4(4(1(0(3(2(2(3(0(0(4(3(3(4(2(2(z0)))))))))))))))))))), 1'(3(3(4(4(1(0(3(2(2(3(0(0(4(3(3(4(2(2(z0))))))))))))))))))), 3'(3(4(4(1(0(3(2(2(3(0(0(4(3(3(4(2(2(z0)))))))))))))))))), 3'(4(4(1(0(3(2(2(3(0(0(4(3(3(4(2(2(z0))))))))))))))))), 4'(4(1(0(3(2(2(3(0(0(4(3(3(4(2(2(z0)))))))))))))))), 4'(1(0(3(2(2(3(0(0(4(3(3(4(2(2(z0))))))))))))))), 1'(0(3(2(2(3(0(0(4(3(3(4(2(2(z0)))))))))))))), 0'(3(2(2(3(0(0(4(3(3(4(2(2(z0))))))))))))), 3'(2(2(3(0(0(4(3(3(4(2(2(z0)))))))))))), 2'(2(3(0(0(4(3(3(4(2(2(z0))))))))))), 2'(3(0(0(4(3(3(4(2(2(z0)))))))))), 3'(0(0(4(3(3(4(2(2(z0))))))))), 0'(0(4(3(3(4(2(2(z0)))))))), 0'(4(3(3(4(2(2(z0))))))), 4'(3(3(4(2(2(z0)))))), 3'(3(4(2(2(z0))))), 3'(4(2(2(z0)))), 4'(2(2(z0))), 2'(2(z0)), 2'(z0))
   4'(c_3(c_3(c_3(c_0(c_2(c_1(c_2(c_2(c_3(c_2(c_0(c_1(c_1(c_4(c_1(c_3(c_4(c_2(c_4(z0)))))))))))))))))))) -> c111(3'(4(1(3(3(2(1(2(1(1(0(2(2(0(0(1(1(2(3(2(z0)))))))))))))))))))), 4'(1(3(3(2(1(2(1(1(0(2(2(0(0(1(1(2(3(2(z0))))))))))))))))))), 1'(3(3(2(1(2(1(1(0(2(2(0(0(1(1(2(3(2(z0)))))))))))))))))), 3'(3(2(1(2(1(1(0(2(2(0(0(1(1(2(3(2(z0))))))))))))))))), 3'(2(1(2(1(1(0(2(2(0(0(1(1(2(3(2(z0)))))))))))))))), 2'(1(2(1(1(0(2(2(0(0(1(1(2(3(2(z0))))))))))))))), 1'(2(1(1(0(2(2(0(0(1(1(2(3(2(z0)))))))))))))), 2'(1(1(0(2(2(0(0(1(1(2(3(2(z0))))))))))))), 1'(1(0(2(2(0(0(1(1(2(3(2(z0)))))))))))), 1'(0(2(2(0(0(1(1(2(3(2(z0))))))))))), 0'(2(2(0(0(1(1(2(3(2(z0)))))))))), 2'(2(0(0(1(1(2(3(2(z0))))))))), 2'(0(0(1(1(2(3(2(z0)))))))), 0'(0(1(1(2(3(2(z0))))))), 0'(1(1(2(3(2(z0)))))), 1'(1(2(3(2(z0))))), 1'(2(3(2(z0)))), 2'(3(2(z0))), 3'(2(z0)), 2'(z0))
   4'(c_4(c_4(c_1(c_3(c_3(c_4(c_4(c_2(c_2(c_0(c_1(c_0(c_2(c_4(c_3(c_2(c_2(c_0(c_2(z0)))))))))))))))))))) -> c112(4'(3(2(3(2(2(0(0(1(3(4(2(2(2(4(4(1(2(0(2(z0)))))))))))))))))))), 3'(2(3(2(2(0(0(1(3(4(2(2(2(4(4(1(2(0(2(z0))))))))))))))))))), 2'(3(2(2(0(0(1(3(4(2(2(2(4(4(1(2(0(2(z0)))))))))))))))))), 3'(2(2(0(0(1(3(4(2(2(2(4(4(1(2(0(2(z0))))))))))))))))), 2'(2(0(0(1(3(4(2(2(2(4(4(1(2(0(2(z0)))))))))))))))), 2'(0(0(1(3(4(2(2(2(4(4(1(2(0(2(z0))))))))))))))), 0'(0(1(3(4(2(2(2(4(4(1(2(0(2(z0)))))))))))))), 0'(1(3(4(2(2(2(4(4(1(2(0(2(z0))))))))))))), 1'(3(4(2(2(2(4(4(1(2(0(2(z0)))))))))))), 3'(4(2(2(2(4(4(1(2(0(2(z0))))))))))), 4'(2(2(2(4(4(1(2(0(2(z0)))))))))), 2'(2(2(4(4(1(2(0(2(z0))))))))), 2'(2(4(4(1(2(0(2(z0)))))))), 2'(4(4(1(2(0(2(z0))))))), 4'(4(1(2(0(2(z0)))))), 4'(1(2(0(2(z0))))), 1'(2(0(2(z0)))), 2'(0(2(z0))), 0'(2(z0)), 2'(z0))
   4'(c_0(c_4(c_2(c_2(c_3(c_3(c_2(c_2(c_1(c_2(c_1(c_0(c_1(c_0(c_3(c_2(c_1(c_2(c_0(z0)))))))))))))))))))) -> c113(1'(1(2(2(0(0(4(4(2(3(3(3(2(2(2(0(3(0(0(2(z0)))))))))))))))))))), 1'(2(2(0(0(4(4(2(3(3(3(2(2(2(0(3(0(0(2(z0))))))))))))))))))), 2'(2(0(0(4(4(2(3(3(3(2(2(2(0(3(0(0(2(z0)))))))))))))))))), 2'(0(0(4(4(2(3(3(3(2(2(2(0(3(0(0(2(z0))))))))))))))))), 0'(0(4(4(2(3(3(3(2(2(2(0(3(0(0(2(z0)))))))))))))))), 0'(4(4(2(3(3(3(2(2(2(0(3(0(0(2(z0))))))))))))))), 4'(4(2(3(3(3(2(2(2(0(3(0(0(2(z0)))))))))))))), 4'(2(3(3(3(2(2(2(0(3(0(0(2(z0))))))))))))), 2'(3(3(3(2(2(2(0(3(0(0(2(z0)))))))))))), 3'(3(3(2(2(2(0(3(0(0(2(z0))))))))))), 3'(3(2(2(2(0(3(0(0(2(z0)))))))))), 3'(2(2(2(0(3(0(0(2(z0))))))))), 2'(2(2(0(3(0(0(2(z0)))))))), 2'(2(0(3(0(0(2(z0))))))), 2'(0(3(0(0(2(z0)))))), 0'(3(0(0(2(z0))))), 3'(0(0(2(z0)))), 0'(0(2(z0))), 0'(2(z0)), 2'(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, c29_20, c30_20, c31_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, c64_20, c65_20, c66_20, c67_20, c68_20, c69_20, c70_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_20, c90_20, c91_20, c92_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_1(c_4(c_2(c_2(c_0(c_3(c_2(c_0(c_4(c_1(c_3(c_2(c_0(c_0(c_3(c_2(c_3(c_0(c_2(z0)))))))))))))))))))) -> 2(4(2(1(2(2(3(0(2(0(1(2(2(0(1(2(0(0(4(2(z0))))))))))))))))))))
   0(c_0(c_2(c_1(c_0(c_3(c_1(c_3(c_1(c_3(c_3(c_3(c_2(c_4(c_0(c_0(c_1(c_2(c_0(c_4(z0)))))))))))))))))))) -> 4(4(1(4(4(3(2(1(1(0(2(2(1(2(1(0(3(4(2(2(z0))))))))))))))))))))
   0(c_3(c_2(c_0(c_4(c_2(c_0(c_1(c_1(c_3(c_2(c_3(c_4(c_4(c_1(c_2(c_4(c_2(c_4(c_2(z0)))))))))))))))))))) -> 2(2(4(3(4(2(3(4(1(2(1(0(0(2(0(4(1(4(2(2(z0))))))))))))))))))))
   0(c_1(c_4(c_3(c_2(c_3(c_0(c_1(c_2(c_4(c_0(c_3(c_4(c_2(c_0(c_0(c_3(c_2(c_4(c_2(z0)))))))))))))))))))) -> 2(1(3(0(0(1(4(3(1(3(2(2(2(1(3(0(2(0(0(2(z0))))))))))))))))))))
   0(c_3(c_3(c_2(c_4(c_1(c_0(c_0(c_1(c_2(c_0(c_4(c_3(c_3(c_4(c_4(c_4(c_3(c_1(c_2(z0)))))))))))))))))))) -> 4(1(2(2(2(2(4(4(2(0(3(2(1(0(4(4(1(4(2(0(z0))))))))))))))))))))
   0(c_4(c_4(c_2(c_3(c_2(c_1(c_2(c_2(c_1(c_4(c_1(c_1(c_1(c_4(c_2(c_2(c_1(c_2(c_0(z0)))))))))))))))))))) -> 3(0(0(1(4(1(2(3(3(4(2(1(1(3(2(2(1(3(2(4(z0))))))))))))))))))))
   0(c_0(c_0(c_2(c_1(c_1(c_2(c_2(c_1(c_3(c_0(c_0(c_4(c_3(c_4(c_3(c_4(c_1(c_2(c_1(z0)))))))))))))))))))) -> 0(0(0(1(2(2(2(0(4(1(4(1(2(4(3(3(1(0(3(3(z0))))))))))))))))))))
   0(c_0(c_2(c_3(c_1(c_4(c_2(c_1(c_4(c_2(c_0(c_1(c_4(c_2(c_2(c_1(c_1(c_2(c_4(c_4(z0)))))))))))))))))))) -> 1(1(2(3(3(4(4(4(2(3(2(2(1(2(0(1(2(0(4(4(z0))))))))))))))))))))
   0(c_2(c_3(c_0(c_4(c_2(c_3(c_1(c_3(c_4(c_0(c_3(c_4(c_2(c_1(c_3(c_2(c_3(c_4(c_0(z0)))))))))))))))))))) -> 4(1(2(0(3(0(1(2(3(0(2(1(3(2(0(3(0(2(4(0(z0))))))))))))))))))))
   0(c_2(c_1(c_1(c_2(c_1(c_4(c_1(c_2(c_2(c_4(c_0(c_0(c_3(c_3(c_3(c_2(c_2(c_1(c_0(z0)))))))))))))))))))) -> 4(3(3(0(2(3(4(2(4(1(2(1(4(3(4(3(3(2(2(3(z0))))))))))))))))))))
   0(c_2(c_1(c_3(c_0(c_0(c_4(c_4(c_4(c_0(c_0(c_3(c_2(c_1(c_2(c_4(c_0(c_1(c_2(c_2(z0)))))))))))))))))))) -> 0(4(0(0(2(3(0(4(1(2(3(0(3(0(1(4(2(2(3(3(z0))))))))))))))))))))
   0(c_0(c_0(c_0(c_1(c_2(c_2(c_3(c_3(c_2(c_0(c_0(c_0(c_4(c_2(c_0(c_1(c_2(c_4(c_2(z0)))))))))))))))))))) -> 1(1(1(3(0(3(0(2(3(2(2(4(1(2(3(4(1(2(2(4(z0))))))))))))))))))))
   0(c_4(c_2(c_2(c_0(c_2(c_3(c_3(c_4(c_1(c_3(c_2(c_4(c_0(c_2(c_1(c_1(c_4(c_3(c_2(z0)))))))))))))))))))) -> 2(4(3(3(0(3(1(2(3(3(4(2(0(0(4(2(0(1(2(2(z0))))))))))))))))))))
   0(c_2(c_4(c_2(c_1(c_2(c_3(c_0(c_1(c_2(c_0(c_3(c_0(c_4(c_1(c_0(c_2(c_0(c_2(c_0(z0)))))))))))))))))))) -> 3(2(3(1(0(1(2(0(2(2(3(2(0(4(4(2(0(4(4(2(z0))))))))))))))))))))
   0(c_1(c_2(c_0(c_1(c_4(c_4(c_0(c_3(c_0(c_2(c_3(c_0(c_0(c_3(c_3(c_0(c_2(c_3(c_2(z0)))))))))))))))))))) -> 1(3(3(2(4(2(1(2(1(2(0(2(0(3(2(2(4(0(3(3(z0))))))))))))))))))))
   0(c_2(c_2(c_1(c_2(c_0(c_3(c_1(c_2(c_2(c_4(c_1(c_2(c_0(c_2(c_4(c_0(c_1(c_0(c_3(z0)))))))))))))))))))) -> 2(4(3(0(3(0(2(3(0(4(2(2(2(3(3(2(4(3(1(1(z0))))))))))))))))))))
   0(c_4(c_2(c_0(c_0(c_3(c_2(c_1(c_0(c_1(c_3(c_1(c_2(c_4(c_4(c_0(c_2(c_3(c_2(c_2(z0)))))))))))))))))))) -> 2(1(2(2(3(3(2(0(4(4(3(3(1(0(0(3(4(2(2(4(z0))))))))))))))))))))
   1(z0) -> c_1(z0)
   1(c_3(c_3(c_4(c_4(c_2(c_3(c_1(c_3(c_3(c_0(c_3(c_4(c_2(c_2(c_4(c_2(c_2(c_4(c_4(z0)))))))))))))))))))) -> 0(4(2(4(3(3(2(1(4(2(4(4(3(2(2(3(1(2(2(0(z0))))))))))))))))))))
   1(c_0(c_0(c_1(c_2(c_3(c_4(c_2(c_0(c_4(c_4(c_2(c_2(c_4(c_1(c_2(c_2(c_2(c_4(c_4(z0)))))))))))))))))))) -> 2(4(3(0(2(0(3(1(2(1(1(2(2(3(0(2(4(3(1(3(z0))))))))))))))))))))
   1(c_0(c_0(c_3(c_1(c_4(c_2(c_1(c_2(c_2(c_2(c_2(c_2(c_3(c_0(c_1(c_4(c_2(c_0(c_4(z0)))))))))))))))))))) -> 2(4(4(0(3(3(0(3(3(3(2(4(2(2(0(0(0(0(3(3(z0))))))))))))))))))))
   1(c_1(c_1(c_1(c_2(c_4(c_4(c_3(c_0(c_2(c_3(c_3(c_1(c_3(c_0(c_1(c_4(c_2(c_2(c_3(z0)))))))))))))))))))) -> 3(4(2(1(1(0(1(2(1(4(4(2(3(3(4(2(1(2(3(2(z0))))))))))))))))))))
   1(c_0(c_0(c_4(c_0(c_0(c_2(c_3(c_2(c_2(c_3(c_3(c_1(c_3(c_4(c_3(c_2(c_2(c_1(c_1(z0)))))))))))))))))))) -> 1(2(2(2(0(0(2(2(3(0(4(4(2(1(4(2(2(2(4(1(z0))))))))))))))))))))
   1(c_1(c_2(c_0(c_4(c_1(c_3(c_1(c_2(c_2(c_0(c_4(c_0(c_2(c_3(c_4(c_4(c_0(c_2(c_3(z0)))))))))))))))))))) -> 1(0(2(2(4(0(3(1(0(0(3(0(2(1(1(2(2(3(1(0(z0))))))))))))))))))))
   1(c_3(c_2(c_3(c_1(c_0(c_3(c_3(c_0(c_1(c_2(c_0(c_2(c_2(c_2(c_0(c_1(c_3(c_1(c_0(z0)))))))))))))))))))) -> 3(3(4(3(1(2(2(4(4(0(2(2(2(2(0(0(2(0(1(4(z0))))))))))))))))))))
   1(c_1(c_2(c_1(c_3(c_4(c_0(c_2(c_2(c_3(c_3(c_3(c_3(c_0(c_1(c_0(c_4(c_3(c_0(c_2(z0)))))))))))))))))))) -> 3(2(1(4(2(2(3(4(2(3(1(4(2(3(0(3(3(4(0(3(z0))))))))))))))))))))
   1(c_1(c_3(c_3(c_1(c_1(c_3(c_2(c_3(c_2(c_0(c_4(c_2(c_0(c_2(c_1(c_1(c_0(c_4(c_1(z0)))))))))))))))))))) -> 2(3(4(2(0(0(0(0(3(1(2(2(4(1(2(3(1(0(4(4(z0))))))))))))))))))))
   1(c_3(c_1(c_4(c_0(c_1(c_4(c_3(c_0(c_4(c_2(c_1(c_0(c_0(c_1(c_2(c_3(c_2(c_2(c_3(z0)))))))))))))))))))) -> 0(4(0(3(0(3(0(3(2(0(1(0(0(2(1(3(2(1(2(0(z0))))))))))))))))))))
   1(c_0(c_2(c_1(c_1(c_1(c_2(c_0(c_0(c_2(c_1(c_3(c_3(c_3(c_1(c_4(c_1(c_0(c_0(c_1(z0)))))))))))))))))))) -> 2(2(1(0(1(4(3(2(3(0(0(0(4(3(2(1(1(2(0(2(z0))))))))))))))))))))
   1(c_0(c_4(c_0(c_1(c_3(c_0(c_2(c_3(c_2(c_1(c_2(c_3(c_2(c_4(c_2(c_4(c_3(c_4(c_2(z0)))))))))))))))))))) -> 2(3(0(2(0(2(2(2(3(4(1(0(2(3(1(2(1(2(4(2(z0))))))))))))))))))))
   1(c_4(c_4(c_2(c_3(c_1(c_2(c_3(c_3(c_1(c_0(c_1(c_3(c_2(c_1(c_2(c_1(c_2(c_2(c_2(z0)))))))))))))))))))) -> 2(0(2(0(2(0(2(0(4(2(4(2(3(2(3(1(2(2(2(1(z0))))))))))))))))))))
   1(c_1(c_0(c_0(c_1(c_3(c_2(c_4(c_3(c_1(c_4(c_0(c_4(c_1(c_2(c_2(c_2(c_3(c_3(c_2(z0)))))))))))))))))))) -> 3(1(4(3(1(0(3(4(0(3(2(2(4(0(2(3(3(2(2(0(z0))))))))))))))))))))
   2(z0) -> c_2(z0)
   2(c_1(c_3(c_4(c_1(c_0(c_3(c_2(c_0(c_3(c_0(c_1(c_1(c_4(c_0(c_0(c_2(c_4(c_4(c_1(z0)))))))))))))))))))) -> 3(0(3(2(1(4(1(4(0(0(2(2(0(1(1(0(4(1(2(1(z0))))))))))))))))))))
   2(c_1(c_4(c_4(c_0(c_1(c_2(c_0(c_2(c_3(c_0(c_2(c_1(c_2(c_3(c_0(c_2(c_3(c_1(c_3(z0)))))))))))))))))))) -> 0(3(2(3(2(3(0(2(2(0(2(3(1(3(3(3(1(2(4(2(z0))))))))))))))))))))
   2(c_3(c_4(c_4(c_4(c_3(c_0(c_0(c_2(c_3(c_4(c_3(c_0(c_4(c_3(c_0(c_1(c_2(c_4(c_2(z0)))))))))))))))))))) -> 3(3(2(0(4(0(2(4(2(3(2(2(4(4(0(4(0(3(4(1(z0))))))))))))))))))))
   2(c_0(c_3(c_2(c_0(c_3(c_2(c_4(c_1(c_2(c_3(c_1(c_4(c_1(c_3(c_3(c_3(c_0(c_1(c_3(z0)))))))))))))))))))) -> 3(0(3(2(1(1(1(3(4(0(3(2(0(2(2(3(2(0(3(2(z0))))))))))))))))))))
   2(c_4(c_2(c_2(c_1(c_2(c_4(c_2(c_3(c_0(c_1(c_0(c_2(c_1(c_2(c_0(c_0(c_0(c_4(c_0(z0)))))))))))))))))))) -> 2(3(0(2(0(3(0(2(1(0(4(2(2(1(3(1(3(0(4(3(z0))))))))))))))))))))
   2(c_3(c_1(c_2(c_3(c_3(c_3(c_1(c_1(c_1(c_0(c_1(c_2(c_4(c_0(c_4(c_2(c_1(c_2(c_2(z0)))))))))))))))))))) -> 2(2(0(1(4(3(2(2(4(3(0(2(4(3(2(0(0(1(0(2(z0))))))))))))))))))))
   2(c_4(c_0(c_3(c_1(c_2(c_1(c_1(c_2(c_0(c_2(c_2(c_0(c_3(c_2(c_1(c_1(c_0(c_1(c_3(z0)))))))))))))))))))) -> 2(3(3(1(3(1(2(1(1(0(2(0(0(2(3(3(0(3(3(3(z0))))))))))))))))))))
   2(c_4(c_3(c_2(c_0(c_2(c_4(c_1(c_2(c_0(c_4(c_1(c_2(c_3(c_1(c_2(c_3(c_4(c_1(c_1(z0)))))))))))))))))))) -> 2(0(1(1(2(2(4(3(2(2(1(3(0(1(2(3(0(4(4(4(z0))))))))))))))))))))
   2(c_0(c_0(c_0(c_2(c_2(c_3(c_1(c_3(c_1(c_0(c_4(c_3(c_3(c_0(c_2(c_4(c_1(c_0(c_3(z0)))))))))))))))))))) -> 4(0(3(4(3(4(0(0(2(2(2(1(2(2(2(1(1(2(0(4(z0))))))))))))))))))))
   2(c_4(c_3(c_2(c_2(c_4(c_0(c_3(c_2(c_4(c_3(c_1(c_0(c_4(c_4(c_3(c_3(c_2(c_2(c_1(z0)))))))))))))))))))) -> 3(4(3(0(2(2(2(4(3(2(0(3(0(3(2(0(3(0(4(2(z0))))))))))))))))))))
   2(c_3(c_0(c_1(c_3(c_3(c_4(c_2(c_1(c_4(c_4(c_2(c_3(c_1(c_1(c_1(c_2(c_3(c_0(c_2(z0)))))))))))))))))))) -> 2(2(3(0(4(4(0(0(1(3(3(0(4(3(4(2(2(4(3(2(z0))))))))))))))))))))
   2(c_4(c_0(c_0(c_3(c_2(c_2(c_2(c_1(c_1(c_4(c_0(c_1(c_2(c_2(c_3(c_4(c_2(c_3(c_4(z0)))))))))))))))))))) -> 3(1(3(2(2(4(0(3(2(1(0(0(2(3(3(3(2(3(4(3(z0))))))))))))))))))))
   2(c_0(c_4(c_2(c_2(c_3(c_4(c_0(c_1(c_0(c_3(c_2(c_1(c_3(c_0(c_3(c_1(c_1(c_3(c_0(z0)))))))))))))))))))) -> 0(3(0(1(2(2(2(0(0(3(3(2(1(1(0(4(2(1(2(4(z0))))))))))))))))))))
   2(c_3(c_4(c_0(c_0(c_4(c_3(c_3(c_2(c_3(c_4(c_0(c_2(c_0(c_4(c_4(c_0(c_2(c_4(c_2(z0)))))))))))))))))))) -> 1(3(1(3(3(2(0(2(2(3(0(1(2(2(2(4(1(2(1(1(z0))))))))))))))))))))
   2(c_1(c_3(c_2(c_2(c_0(c_4(c_4(c_0(c_4(c_1(c_2(c_3(c_3(c_0(c_2(c_1(c_4(c_4(c_4(z0)))))))))))))))))))) -> 4(3(2(3(2(2(2(1(4(1(2(2(0(1(1(1(0(0(3(4(z0))))))))))))))))))))
   2(c_0(c_3(c_4(c_1(c_2(c_0(c_2(c_3(c_3(c_1(c_2(c_0(c_1(c_2(c_0(c_4(c_4(c_4(c_2(z0)))))))))))))))))))) -> 2(2(2(4(3(2(0(1(4(1(2(3(0(3(1(3(3(1(2(4(z0))))))))))))))))))))
   2(c_0(c_2(c_1(c_1(c_0(c_1(c_0(c_2(c_2(c_0(c_1(c_2(c_0(c_2(c_4(c_0(c_1(c_2(c_0(z0)))))))))))))))))))) -> 3(0(2(4(1(2(0(4(2(1(3(0(2(3(4(2(3(3(4(0(z0))))))))))))))))))))
   2(c_4(c_4(c_4(c_2(c_2(c_2(c_0(c_4(c_3(c_4(c_3(c_4(c_2(c_3(c_1(c_4(c_3(c_1(c_3(z0)))))))))))))))))))) -> 2(3(4(2(1(1(1(3(2(3(0(2(4(1(2(0(2(1(1(4(z0))))))))))))))))))))
   2(c_3(c_1(c_1(c_3(c_2(c_1(c_1(c_1(c_3(c_2(c_3(c_4(c_2(c_2(c_3(c_4(c_3(c_3(c_0(z0)))))))))))))))))))) -> 0(4(4(2(4(0(2(3(2(0(2(1(2(4(4(3(2(3(2(2(z0))))))))))))))))))))
   2(c_0(c_2(c_4(c_2(c_2(c_2(c_4(c_3(c_0(c_0(c_1(c_0(c_1(c_0(c_3(c_0(c_3(c_2(c_4(z0)))))))))))))))))))) -> 0(3(0(2(2(0(2(1(3(2(3(3(0(2(0(4(3(3(3(2(z0))))))))))))))))))))
   2(c_4(c_1(c_3(c_2(c_2(c_1(c_4(c_2(c_1(c_1(c_1(c_2(c_2(c_2(c_0(c_3(c_0(c_2(c_4(z0)))))))))))))))))))) -> 3(3(1(4(3(2(3(2(2(3(2(1(1(0(3(3(3(4(0(2(z0))))))))))))))))))))
   2(c_0(c_0(c_0(c_3(c_1(c_0(c_2(c_4(c_2(c_2(c_2(c_4(c_0(c_4(c_0(c_1(c_0(c_3(c_4(z0)))))))))))))))))))) -> 1(4(2(4(4(4(4(3(2(4(4(3(2(2(0(0(4(1(2(2(z0))))))))))))))))))))
   2(c_3(c_3(c_3(c_0(c_0(c_1(c_0(c_2(c_4(c_3(c_1(c_1(c_3(c_2(c_1(c_2(c_2(c_2(c_1(z0)))))))))))))))))))) -> 3(4(2(2(0(0(0(0(2(4(2(3(2(0(3(2(3(0(2(3(z0))))))))))))))))))))
   2(c_1(c_4(c_1(c_3(c_4(c_3(c_2(c_2(c_0(c_1(c_0(c_2(c_1(c_0(c_3(c_4(c_2(c_4(c_2(z0)))))))))))))))))))) -> 4(2(2(2(3(3(4(1(4(0(2(3(2(1(0(3(2(3(3(4(z0))))))))))))))))))))
   2(c_4(c_2(c_2(c_1(c_1(c_2(c_3(c_0(c_1(c_0(c_0(c_3(c_2(c_1(c_0(c_0(c_1(c_0(c_2(z0)))))))))))))))))))) -> 2(2(2(3(3(4(1(4(3(0(0(2(0(1(1(2(3(0(2(4(z0))))))))))))))))))))
   2(c_4(c_0(c_0(c_4(c_2(c_1(c_3(c_3(c_3(c_2(c_0(c_4(c_1(c_4(c_0(c_2(c_1(c_3(c_2(z0)))))))))))))))))))) -> 0(4(2(4(0(3(2(1(2(4(2(2(3(1(0(1(2(3(3(2(z0))))))))))))))))))))
   2(c_0(c_4(c_2(c_1(c_3(c_4(c_4(c_2(c_1(c_0(c_3(c_2(c_1(c_3(c_2(c_1(c_4(c_2(c_4(z0)))))))))))))))))))) -> 0(2(4(2(2(2(0(2(4(3(3(2(3(3(4(1(0(3(0(4(z0))))))))))))))))))))
   3(z0) -> c_3(z0)
   3(c_0(c_1(c_4(c_2(c_2(c_3(c_4(c_4(c_3(c_0(c_2(c_1(c_4(c_1(c_0(c_1(c_0(c_2(c_3(z0)))))))))))))))))))) -> 4(2(0(4(1(1(2(0(2(4(0(3(4(4(3(2(0(3(3(2(z0))))))))))))))))))))
   3(c_1(c_1(c_1(c_2(c_0(c_1(c_3(c_3(c_2(c_1(c_3(c_4(c_1(c_2(c_2(c_3(c_3(c_2(c_3(z0)))))))))))))))))))) -> 2(3(2(2(4(3(4(2(3(1(2(2(4(2(3(0(4(3(0(3(z0))))))))))))))))))))
   3(c_2(c_2(c_3(c_4(c_3(c_2(c_2(c_0(c_4(c_1(c_4(c_3(c_4(c_2(c_1(c_4(c_1(c_0(c_2(z0)))))))))))))))))))) -> 2(1(3(3(3(2(2(4(0(4(0(4(2(0(2(1(3(3(3(3(z0))))))))))))))))))))
   3(c_3(c_2(c_4(c_3(c_0(c_2(c_1(c_4(c_3(c_3(c_4(c_4(c_1(c_1(c_4(c_3(c_3(c_2(c_2(z0)))))))))))))))))))) -> 4(1(2(3(2(0(3(3(0(3(2(3(1(1(2(0(1(0(2(2(z0))))))))))))))))))))
   3(c_1(c_4(c_3(c_4(c_2(c_1(c_1(c_1(c_4(c_3(c_1(c_3(c_2(c_2(c_4(c_2(c_2(c_1(c_1(z0)))))))))))))))))))) -> 2(1(2(4(2(4(1(4(2(1(4(0(0(1(2(3(3(2(1(3(z0))))))))))))))))))))
   3(c_3(c_0(c_4(c_4(c_1(c_0(c_2(c_3(c_2(c_1(c_2(c_2(c_3(c_3(c_1(c_0(c_2(c_4(c_1(z0)))))))))))))))))))) -> 4(2(1(2(3(3(3(3(0(2(0(3(0(2(3(1(2(1(1(0(z0))))))))))))))))))))
   3(c_1(c_1(c_0(c_0(c_2(c_2(c_4(c_2(c_2(c_2(c_2(c_1(c_2(c_2(c_1(c_1(c_1(c_1(c_4(z0)))))))))))))))))))) -> 4(2(1(4(1(3(2(2(4(4(2(3(3(3(3(2(4(3(2(3(z0))))))))))))))))))))
   3(c_0(c_0(c_1(c_0(c_2(c_3(c_3(c_2(c_0(c_2(c_1(c_1(c_0(c_4(c_3(c_2(c_0(c_4(c_2(z0)))))))))))))))))))) -> 1(0(0(2(1(4(4(0(2(3(0(2(4(4(2(3(2(4(0(2(z0))))))))))))))))))))
   3(c_2(c_3(c_2(c_2(c_0(c_0(c_4(c_1(c_0(c_0(c_4(c_0(c_3(c_3(c_2(c_2(c_1(c_0(c_3(z0)))))))))))))))))))) -> 1(3(1(2(0(4(0(3(2(4(3(0(2(1(2(2(1(2(2(3(z0))))))))))))))))))))
   3(c_4(c_4(c_4(c_3(c_1(c_4(c_3(c_0(c_2(c_2(c_0(c_4(c_4(c_1(c_3(c_3(c_3(c_2(c_2(z0)))))))))))))))))))) -> 4(2(2(3(0(0(3(1(1(1(4(4(3(0(3(2(1(0(2(2(z0))))))))))))))))))))
   3(c_0(c_1(c_0(c_2(c_2(c_3(c_1(c_2(c_1(c_1(c_1(c_0(c_0(c_2(c_2(c_1(c_3(c_1(c_3(z0)))))))))))))))))))) -> 3(1(4(1(2(1(0(3(2(0(0(1(0(2(4(0(2(2(3(2(z0))))))))))))))))))))
   3(c_3(c_1(c_0(c_2(c_4(c_2(c_3(c_1(c_0(c_2(c_4(c_4(c_4(c_0(c_0(c_2(c_1(c_1(c_2(z0)))))))))))))))))))) -> 2(4(2(3(2(3(4(0(4(2(4(3(1(0(1(2(0(3(2(0(z0))))))))))))))))))))
   3(c_2(c_0(c_3(c_2(c_4(c_4(c_2(c_2(c_2(c_0(c_1(c_2(c_2(c_3(c_4(c_0(c_2(c_4(c_1(z0)))))))))))))))))))) -> 0(0(2(3(0(2(1(2(2(2(3(2(1(3(4(3(4(2(2(2(z0))))))))))))))))))))
   3(c_3(c_3(c_0(c_2(c_0(c_2(c_2(c_1(c_0(c_0(c_4(c_4(c_2(c_0(c_2(c_3(c_0(c_2(c_4(z0)))))))))))))))))))) -> 2(3(3(2(4(3(4(2(3(3(1(0(1(2(4(3(0(3(3(2(z0))))))))))))))))))))
   3(c_0(c_1(c_4(c_3(c_1(c_2(c_0(c_3(c_2(c_3(c_2(c_2(c_0(c_2(c_2(c_3(c_1(c_2(c_2(z0)))))))))))))))))))) -> 0(2(2(3(0(2(0(3(1(3(1(2(2(2(3(2(2(0(4(2(z0))))))))))))))))))))
   3(c_4(c_2(c_1(c_4(c_1(c_0(c_2(c_4(c_3(c_3(c_4(c_3(c_3(c_1(c_2(c_2(c_3(c_3(c_3(z0)))))))))))))))))))) -> 4(2(0(1(2(0(2(0(0(2(1(4(0(3(2(2(3(2(2(4(z0))))))))))))))))))))
   3(c_1(c_0(c_3(c_2(c_2(c_1(c_1(c_4(c_4(c_0(c_2(c_2(c_4(c_3(c_2(c_2(c_3(c_4(c_2(z0)))))))))))))))))))) -> 2(0(4(3(3(2(2(2(4(0(4(3(2(2(2(0(3(0(4(2(z0))))))))))))))))))))
   3(c_0(c_1(c_3(c_2(c_0(c_1(c_3(c_4(c_2(c_3(c_1(c_2(c_2(c_1(c_2(c_3(c_1(c_3(c_1(z0)))))))))))))))))))) -> 2(3(2(3(0(2(1(2(2(4(3(3(3(2(1(0(1(3(2(2(z0))))))))))))))))))))
   3(c_0(c_2(c_4(c_0(c_4(c_0(c_1(c_2(c_1(c_4(c_3(c_0(c_4(c_3(c_0(c_3(c_3(c_3(c_2(z0)))))))))))))))))))) -> 1(0(4(3(1(4(2(3(3(4(3(0(0(2(2(3(4(0(4(2(z0))))))))))))))))))))
   3(c_2(c_0(c_3(c_4(c_4(c_4(c_1(c_0(c_2(c_2(c_1(c_4(c_0(c_0(c_4(c_3(c_2(c_3(c_1(z0)))))))))))))))))))) -> 0(4(0(3(4(2(0(3(1(3(3(1(1(0(3(2(2(3(0(3(z0))))))))))))))))))))
   3(c_0(c_3(c_2(c_0(c_0(c_2(c_2(c_3(c_0(c_0(c_4(c_3(c_4(c_2(c_4(c_2(c_3(c_3(c_3(z0)))))))))))))))))))) -> 3(0(0(1(3(2(2(2(3(3(2(0(1(2(3(3(4(2(2(4(z0))))))))))))))))))))
   4(z0) -> c_4(z0)
   4(c_1(c_4(c_3(c_1(c_0(c_4(c_4(c_1(c_3(c_3(c_2(c_2(c_1(c_2(c_2(c_3(c_2(c_0(c_0(z0)))))))))))))))))))) -> 2(2(4(4(3(3(2(1(4(4(3(2(3(4(1(2(1(1(3(0(z0))))))))))))))))))))
   4(c_1(c_2(c_3(c_2(c_0(c_0(c_1(c_0(c_2(c_3(c_1(c_3(c_2(c_3(c_1(c_0(c_1(c_4(c_2(z0)))))))))))))))))))) -> 1(1(1(0(2(3(0(3(3(2(4(3(3(2(0(2(1(2(3(3(z0))))))))))))))))))))
   4(c_3(c_0(c_3(c_4(c_3(c_3(c_0(c_1(c_3(c_2(c_3(c_3(c_4(c_3(c_0(c_0(c_3(c_4(c_2(z0)))))))))))))))))))) -> 1(1(0(4(0(0(0(2(4(0(2(2(3(2(3(3(0(4(3(2(z0))))))))))))))))))))
   4(c_3(c_2(c_0(c_0(c_3(c_4(c_2(c_0(c_3(c_0(c_1(c_0(c_1(c_1(c_4(c_0(c_2(c_2(c_4(z0)))))))))))))))))))) -> 4(1(2(2(4(4(2(1(4(3(2(0(0(0(2(4(1(2(0(3(z0))))))))))))))))))))
   4(c_0(c_3(c_2(c_0(c_3(c_3(c_2(c_3(c_1(c_4(c_3(c_2(c_2(c_3(c_1(c_3(c_1(c_0(c_4(z0)))))))))))))))))))) -> 0(0(0(2(1(3(3(4(2(4(3(3(2(4(2(3(3(0(0(3(z0))))))))))))))))))))
   4(c_4(c_0(c_3(c_0(c_1(c_3(c_2(c_2(c_2(c_3(c_1(c_0(c_2(c_3(c_3(c_0(c_2(c_4(c_4(z0)))))))))))))))))))) -> 2(1(3(2(2(2(4(0(3(2(2(2(2(2(0(3(0(2(0(3(z0))))))))))))))))))))
   4(c_4(c_4(c_4(c_3(c_2(c_0(c_3(c_2(c_4(c_2(c_4(c_1(c_2(c_1(c_4(c_2(c_3(c_0(c_0(z0)))))))))))))))))))) -> 3(4(2(3(3(2(2(1(3(4(2(3(1(4(4(3(1(1(3(3(z0))))))))))))))))))))
   4(c_0(c_2(c_3(c_1(c_1(c_2(c_3(c_1(c_1(c_2(c_0(c_4(c_3(c_0(c_2(c_3(c_2(c_3(c_3(z0)))))))))))))))))))) -> 2(2(4(2(2(3(0(2(4(2(3(1(3(2(2(3(4(1(0(2(z0))))))))))))))))))))
   4(c_3(c_0(c_3(c_2(c_0(c_2(c_2(c_3(c_1(c_0(c_2(c_0(c_0(c_2(c_3(c_1(c_3(c_4(c_4(z0)))))))))))))))))))) -> 1(4(0(3(3(2(2(2(0(2(3(1(2(3(3(0(3(1(0(1(z0))))))))))))))))))))
   4(c_2(c_4(c_0(c_2(c_3(c_1(c_0(c_2(c_1(c_2(c_2(c_4(c_1(c_4(c_3(c_1(c_0(c_3(c_2(z0)))))))))))))))))))) -> 1(3(0(2(3(2(0(0(0(3(3(2(4(4(3(3(2(4(3(0(z0))))))))))))))))))))
   4(c_2(c_3(c_2(c_2(c_0(c_0(c_4(c_0(c_2(c_0(c_1(c_3(c_0(c_2(c_1(c_0(c_1(c_2(c_4(z0)))))))))))))))))))) -> 1(0(2(0(4(3(4(3(0(3(2(2(4(0(2(1(2(2(4(2(z0))))))))))))))))))))
   4(c_4(c_0(c_3(c_0(c_4(c_2(c_4(c_2(c_3(c_0(c_2(c_2(c_0(c_4(c_3(c_3(c_4(c_2(c_2(z0)))))))))))))))))))) -> 2(3(3(1(0(2(2(3(1(4(0(0(1(2(2(0(4(4(2(2(z0))))))))))))))))))))
   4(c_0(c_0(c_0(c_0(c_4(c_2(c_1(c_1(c_1(c_1(c_3(c_2(c_4(c_0(c_0(c_3(c_2(c_4(c_1(z0)))))))))))))))))))) -> 2(1(2(2(0(2(4(3(1(0(4(1(4(0(3(4(1(3(4(4(z0))))))))))))))))))))
   4(c_4(c_2(c_2(c_0(c_0(c_3(c_0(c_3(c_1(c_2(c_3(c_3(c_1(c_2(c_2(c_2(c_4(c_4(c_4(z0)))))))))))))))))))) -> 4(2(3(0(2(2(0(2(2(4(3(1(1(4(4(2(4(2(3(3(z0))))))))))))))))))))
   4(c_2(c_3(c_0(c_2(c_2(c_4(c_0(c_0(c_3(c_1(c_2(c_0(c_4(c_2(c_0(c_2(c_3(c_3(c_0(z0)))))))))))))))))))) -> 2(2(2(2(4(0(3(0(4(1(2(2(1(3(3(2(0(3(1(0(z0))))))))))))))))))))
   4(c_1(c_1(c_1(c_4(c_2(c_4(c_2(c_0(c_2(c_3(c_3(c_1(c_3(c_0(c_2(c_2(c_0(c_0(c_3(z0)))))))))))))))))))) -> 0(4(2(1(2(2(2(0(4(2(3(3(0(2(1(4(0(1(4(2(z0))))))))))))))))))))
   4(c_0(c_2(c_2(c_4(c_3(c_1(c_3(c_4(c_0(c_0(c_0(c_2(c_2(c_2(c_3(c_0(c_4(c_2(c_4(z0)))))))))))))))))))) -> 2(1(3(3(4(4(1(0(3(2(2(3(0(0(4(3(3(4(2(2(z0))))))))))))))))))))
   4(c_3(c_3(c_3(c_0(c_2(c_1(c_2(c_2(c_3(c_2(c_0(c_1(c_1(c_4(c_1(c_3(c_4(c_2(c_4(z0)))))))))))))))))))) -> 3(4(1(3(3(2(1(2(1(1(0(2(2(0(0(1(1(2(3(2(z0))))))))))))))))))))
   4(c_4(c_4(c_1(c_3(c_3(c_4(c_4(c_2(c_2(c_0(c_1(c_0(c_2(c_4(c_3(c_2(c_2(c_0(c_2(z0)))))))))))))))))))) -> 4(3(2(3(2(2(0(0(1(3(4(2(2(2(4(4(1(2(0(2(z0))))))))))))))))))))
   4(c_0(c_4(c_2(c_2(c_3(c_3(c_2(c_2(c_1(c_2(c_1(c_0(c_1(c_0(c_3(c_2(c_1(c_2(c_0(z0)))))))))))))))))))) -> 1(1(2(2(0(0(4(4(2(3(3(3(2(2(2(0(3(0(0(2(z0))))))))))))))))))))
Tuples:
   ENCARG(cons_3(z0)) -> c3(3'(encArg(z0)), ENCARG(z0))
   ENCARG(cons_4(z0)) -> c4(4'(encArg(z0)), ENCARG(z0))
   0'(c_1(c_4(c_2(c_2(c_0(c_3(c_2(c_0(c_4(c_1(c_3(c_2(c_0(c_0(c_3(c_2(c_3(c_0(c_2(z0)))))))))))))))))))) -> c11(2'(4(2(1(2(2(3(0(2(0(1(2(2(0(1(2(0(0(4(2(z0)))))))))))))))))))), 4'(2(1(2(2(3(0(2(0(1(2(2(0(1(2(0(0(4(2(z0))))))))))))))))))), 2'(1(2(2(3(0(2(0(1(2(2(0(1(2(0(0(4(2(z0)))))))))))))))))), 1'(2(2(3(0(2(0(1(2(2(0(1(2(0(0(4(2(z0))))))))))))))))), 2'(2(3(0(2(0(1(2(2(0(1(2(0(0(4(2(z0)))))))))))))))), 2'(3(0(2(0(1(2(2(0(1(2(0(0(4(2(z0))))))))))))))), 3'(0(2(0(1(2(2(0(1(2(0(0(4(2(z0)))))))))))))), 0'(2(0(1(2(2(0(1(2(0(0(4(2(z0))))))))))))), 2'(0(1(2(2(0(1(2(0(0(4(2(z0)))))))))))), 0'(1(2(2(0(1(2(0(0(4(2(z0))))))))))), 1'(2(2(0(1(2(0(0(4(2(z0)))))))))), 2'(2(0(1(2(0(0(4(2(z0))))))))), 2'(0(1(2(0(0(4(2(z0)))))))), 0'(1(2(0(0(4(2(z0))))))), 1'(2(0(0(4(2(z0)))))), 2'(0(0(4(2(z0))))), 0'(0(4(2(z0)))), 0'(4(2(z0))), 4'(2(z0)), 2'(z0))
   0'(c_0(c_2(c_1(c_0(c_3(c_1(c_3(c_1(c_3(c_3(c_3(c_2(c_4(c_0(c_0(c_1(c_2(c_0(c_4(z0)))))))))))))))))))) -> c12(4'(4(1(4(4(3(2(1(1(0(2(2(1(2(1(0(3(4(2(2(z0)))))))))))))))))))), 4'(1(4(4(3(2(1(1(0(2(2(1(2(1(0(3(4(2(2(z0))))))))))))))))))), 1'(4(4(3(2(1(1(0(2(2(1(2(1(0(3(4(2(2(z0)))))))))))))))))), 4'(4(3(2(1(1(0(2(2(1(2(1(0(3(4(2(2(z0))))))))))))))))), 4'(3(2(1(1(0(2(2(1(2(1(0(3(4(2(2(z0)))))))))))))))), 3'(2(1(1(0(2(2(1(2(1(0(3(4(2(2(z0))))))))))))))), 2'(1(1(0(2(2(1(2(1(0(3(4(2(2(z0)))))))))))))), 1'(1(0(2(2(1(2(1(0(3(4(2(2(z0))))))))))))), 1'(0(2(2(1(2(1(0(3(4(2(2(z0)))))))))))), 0'(2(2(1(2(1(0(3(4(2(2(z0))))))))))), 2'(2(1(2(1(0(3(4(2(2(z0)))))))))), 2'(1(2(1(0(3(4(2(2(z0))))))))), 1'(2(1(0(3(4(2(2(z0)))))))), 2'(1(0(3(4(2(2(z0))))))), 1'(0(3(4(2(2(z0)))))), 0'(3(4(2(2(z0))))), 3'(4(2(2(z0)))), 4'(2(2(z0))), 2'(2(z0)), 2'(z0))
   0'(c_3(c_2(c_0(c_4(c_2(c_0(c_1(c_1(c_3(c_2(c_3(c_4(c_4(c_1(c_2(c_4(c_2(c_4(c_2(z0)))))))))))))))))))) -> c13(2'(2(4(3(4(2(3(4(1(2(1(0(0(2(0(4(1(4(2(2(z0)))))))))))))))))))), 2'(4(3(4(2(3(4(1(2(1(0(0(2(0(4(1(4(2(2(z0))))))))))))))))))), 4'(3(4(2(3(4(1(2(1(0(0(2(0(4(1(4(2(2(z0)))))))))))))))))), 3'(4(2(3(4(1(2(1(0(0(2(0(4(1(4(2(2(z0))))))))))))))))), 4'(2(3(4(1(2(1(0(0(2(0(4(1(4(2(2(z0)))))))))))))))), 2'(3(4(1(2(1(0(0(2(0(4(1(4(2(2(z0))))))))))))))), 3'(4(1(2(1(0(0(2(0(4(1(4(2(2(z0)))))))))))))), 4'(1(2(1(0(0(2(0(4(1(4(2(2(z0))))))))))))), 1'(2(1(0(0(2(0(4(1(4(2(2(z0)))))))))))), 2'(1(0(0(2(0(4(1(4(2(2(z0))))))))))), 1'(0(0(2(0(4(1(4(2(2(z0)))))))))), 0'(0(2(0(4(1(4(2(2(z0))))))))), 0'(2(0(4(1(4(2(2(z0)))))))), 2'(0(4(1(4(2(2(z0))))))), 0'(4(1(4(2(2(z0)))))), 4'(1(4(2(2(z0))))), 1'(4(2(2(z0)))), 4'(2(2(z0))), 2'(2(z0)), 2'(z0))
   0'(c_1(c_4(c_3(c_2(c_3(c_0(c_1(c_2(c_4(c_0(c_3(c_4(c_2(c_0(c_0(c_3(c_2(c_4(c_2(z0)))))))))))))))))))) -> c14(2'(1(3(0(0(1(4(3(1(3(2(2(2(1(3(0(2(0(0(2(z0)))))))))))))))))))), 1'(3(0(0(1(4(3(1(3(2(2(2(1(3(0(2(0(0(2(z0))))))))))))))))))), 3'(0(0(1(4(3(1(3(2(2(2(1(3(0(2(0(0(2(z0)))))))))))))))))), 0'(0(1(4(3(1(3(2(2(2(1(3(0(2(0(0(2(z0))))))))))))))))), 0'(1(4(3(1(3(2(2(2(1(3(0(2(0(0(2(z0)))))))))))))))), 1'(4(3(1(3(2(2(2(1(3(0(2(0(0(2(z0))))))))))))))), 4'(3(1(3(2(2(2(1(3(0(2(0(0(2(z0)))))))))))))), 3'(1(3(2(2(2(1(3(0(2(0(0(2(z0))))))))))))), 1'(3(2(2(2(1(3(0(2(0(0(2(z0)))))))))))), 3'(2(2(2(1(3(0(2(0(0(2(z0))))))))))), 2'(2(2(1(3(0(2(0(0(2(z0)))))))))), 2'(2(1(3(0(2(0(0(2(z0))))))))), 2'(1(3(0(2(0(0(2(z0)))))))), 1'(3(0(2(0(0(2(z0))))))), 3'(0(2(0(0(2(z0)))))), 0'(2(0(0(2(z0))))), 2'(0(0(2(z0)))), 0'(0(2(z0))), 0'(2(z0)), 2'(z0))
   0'(c_3(c_3(c_2(c_4(c_1(c_0(c_0(c_1(c_2(c_0(c_4(c_3(c_3(c_4(c_4(c_4(c_3(c_1(c_2(z0)))))))))))))))))))) -> c15(4'(1(2(2(2(2(4(4(2(0(3(2(1(0(4(4(1(4(2(0(z0)))))))))))))))))))), 1'(2(2(2(2(4(4(2(0(3(2(1(0(4(4(1(4(2(0(z0))))))))))))))))))), 2'(2(2(2(4(4(2(0(3(2(1(0(4(4(1(4(2(0(z0)))))))))))))))))), 2'(2(2(4(4(2(0(3(2(1(0(4(4(1(4(2(0(z0))))))))))))))))), 2'(2(4(4(2(0(3(2(1(0(4(4(1(4(2(0(z0)))))))))))))))), 2'(4(4(2(0(3(2(1(0(4(4(1(4(2(0(z0))))))))))))))), 4'(4(2(0(3(2(1(0(4(4(1(4(2(0(z0)))))))))))))), 4'(2(0(3(2(1(0(4(4(1(4(2(0(z0))))))))))))), 2'(0(3(2(1(0(4(4(1(4(2(0(z0)))))))))))), 0'(3(2(1(0(4(4(1(4(2(0(z0))))))))))), 3'(2(1(0(4(4(1(4(2(0(z0)))))))))), 2'(1(0(4(4(1(4(2(0(z0))))))))), 1'(0(4(4(1(4(2(0(z0)))))))), 0'(4(4(1(4(2(0(z0))))))), 4'(4(1(4(2(0(z0)))))), 4'(1(4(2(0(z0))))), 1'(4(2(0(z0)))), 4'(2(0(z0))), 2'(0(z0)), 0'(z0))
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   4'(c_0(c_0(c_0(c_0(c_4(c_2(c_1(c_1(c_1(c_1(c_3(c_2(c_4(c_0(c_0(c_3(c_2(c_4(c_1(z0)))))))))))))))))))) -> c106(2'(1(2(2(0(2(4(3(1(0(4(1(4(0(3(4(1(3(4(4(z0)))))))))))))))))))), 1'(2(2(0(2(4(3(1(0(4(1(4(0(3(4(1(3(4(4(z0))))))))))))))))))), 2'(2(0(2(4(3(1(0(4(1(4(0(3(4(1(3(4(4(z0)))))))))))))))))), 2'(0(2(4(3(1(0(4(1(4(0(3(4(1(3(4(4(z0))))))))))))))))), 0'(2(4(3(1(0(4(1(4(0(3(4(1(3(4(4(z0)))))))))))))))), 2'(4(3(1(0(4(1(4(0(3(4(1(3(4(4(z0))))))))))))))), 4'(3(1(0(4(1(4(0(3(4(1(3(4(4(z0)))))))))))))), 3'(1(0(4(1(4(0(3(4(1(3(4(4(z0))))))))))))), 1'(0(4(1(4(0(3(4(1(3(4(4(z0)))))))))))), 0'(4(1(4(0(3(4(1(3(4(4(z0))))))))))), 4'(1(4(0(3(4(1(3(4(4(z0)))))))))), 1'(4(0(3(4(1(3(4(4(z0))))))))), 4'(0(3(4(1(3(4(4(z0)))))))), 0'(3(4(1(3(4(4(z0))))))), 3'(4(1(3(4(4(z0)))))), 4'(1(3(4(4(z0))))), 1'(3(4(4(z0)))), 3'(4(4(z0))), 4'(4(z0)), 4'(z0))
   4'(c_4(c_2(c_2(c_0(c_0(c_3(c_0(c_3(c_1(c_2(c_3(c_3(c_1(c_2(c_2(c_2(c_4(c_4(c_4(z0)))))))))))))))))))) -> c107(4'(2(3(0(2(2(0(2(2(4(3(1(1(4(4(2(4(2(3(3(z0)))))))))))))))))))), 2'(3(0(2(2(0(2(2(4(3(1(1(4(4(2(4(2(3(3(z0))))))))))))))))))), 3'(0(2(2(0(2(2(4(3(1(1(4(4(2(4(2(3(3(z0)))))))))))))))))), 0'(2(2(0(2(2(4(3(1(1(4(4(2(4(2(3(3(z0))))))))))))))))), 2'(2(0(2(2(4(3(1(1(4(4(2(4(2(3(3(z0)))))))))))))))), 2'(0(2(2(4(3(1(1(4(4(2(4(2(3(3(z0))))))))))))))), 0'(2(2(4(3(1(1(4(4(2(4(2(3(3(z0)))))))))))))), 2'(2(4(3(1(1(4(4(2(4(2(3(3(z0))))))))))))), 2'(4(3(1(1(4(4(2(4(2(3(3(z0)))))))))))), 4'(3(1(1(4(4(2(4(2(3(3(z0))))))))))), 3'(1(1(4(4(2(4(2(3(3(z0)))))))))), 1'(1(4(4(2(4(2(3(3(z0))))))))), 1'(4(4(2(4(2(3(3(z0)))))))), 4'(4(2(4(2(3(3(z0))))))), 4'(2(4(2(3(3(z0)))))), 2'(4(2(3(3(z0))))), 4'(2(3(3(z0)))), 2'(3(3(z0))), 3'(3(z0)), 3'(z0))
   4'(c_2(c_3(c_0(c_2(c_2(c_4(c_0(c_0(c_3(c_1(c_2(c_0(c_4(c_2(c_0(c_2(c_3(c_3(c_0(z0)))))))))))))))))))) -> c108(2'(2(2(2(4(0(3(0(4(1(2(2(1(3(3(2(0(3(1(0(z0)))))))))))))))))))), 2'(2(2(4(0(3(0(4(1(2(2(1(3(3(2(0(3(1(0(z0))))))))))))))))))), 2'(2(4(0(3(0(4(1(2(2(1(3(3(2(0(3(1(0(z0)))))))))))))))))), 2'(4(0(3(0(4(1(2(2(1(3(3(2(0(3(1(0(z0))))))))))))))))), 4'(0(3(0(4(1(2(2(1(3(3(2(0(3(1(0(z0)))))))))))))))), 0'(3(0(4(1(2(2(1(3(3(2(0(3(1(0(z0))))))))))))))), 3'(0(4(1(2(2(1(3(3(2(0(3(1(0(z0)))))))))))))), 0'(4(1(2(2(1(3(3(2(0(3(1(0(z0))))))))))))), 4'(1(2(2(1(3(3(2(0(3(1(0(z0)))))))))))), 1'(2(2(1(3(3(2(0(3(1(0(z0))))))))))), 2'(2(1(3(3(2(0(3(1(0(z0)))))))))), 2'(1(3(3(2(0(3(1(0(z0))))))))), 1'(3(3(2(0(3(1(0(z0)))))))), 3'(3(2(0(3(1(0(z0))))))), 3'(2(0(3(1(0(z0)))))), 2'(0(3(1(0(z0))))), 0'(3(1(0(z0)))), 3'(1(0(z0))), 1'(0(z0)), 0'(z0))
   4'(c_1(c_1(c_1(c_4(c_2(c_4(c_2(c_0(c_2(c_3(c_3(c_1(c_3(c_0(c_2(c_2(c_0(c_0(c_3(z0)))))))))))))))))))) -> c109(0'(4(2(1(2(2(2(0(4(2(3(3(0(2(1(4(0(1(4(2(z0)))))))))))))))))))), 4'(2(1(2(2(2(0(4(2(3(3(0(2(1(4(0(1(4(2(z0))))))))))))))))))), 2'(1(2(2(2(0(4(2(3(3(0(2(1(4(0(1(4(2(z0)))))))))))))))))), 1'(2(2(2(0(4(2(3(3(0(2(1(4(0(1(4(2(z0))))))))))))))))), 2'(2(2(0(4(2(3(3(0(2(1(4(0(1(4(2(z0)))))))))))))))), 2'(2(0(4(2(3(3(0(2(1(4(0(1(4(2(z0))))))))))))))), 2'(0(4(2(3(3(0(2(1(4(0(1(4(2(z0)))))))))))))), 0'(4(2(3(3(0(2(1(4(0(1(4(2(z0))))))))))))), 4'(2(3(3(0(2(1(4(0(1(4(2(z0)))))))))))), 2'(3(3(0(2(1(4(0(1(4(2(z0))))))))))), 3'(3(0(2(1(4(0(1(4(2(z0)))))))))), 3'(0(2(1(4(0(1(4(2(z0))))))))), 0'(2(1(4(0(1(4(2(z0)))))))), 2'(1(4(0(1(4(2(z0))))))), 1'(4(0(1(4(2(z0)))))), 4'(0(1(4(2(z0))))), 0'(1(4(2(z0)))), 1'(4(2(z0))), 4'(2(z0)), 2'(z0))
   4'(c_0(c_2(c_2(c_4(c_3(c_1(c_3(c_4(c_0(c_0(c_0(c_2(c_2(c_2(c_3(c_0(c_4(c_2(c_4(z0)))))))))))))))))))) -> c110(2'(1(3(3(4(4(1(0(3(2(2(3(0(0(4(3(3(4(2(2(z0)))))))))))))))))))), 1'(3(3(4(4(1(0(3(2(2(3(0(0(4(3(3(4(2(2(z0))))))))))))))))))), 3'(3(4(4(1(0(3(2(2(3(0(0(4(3(3(4(2(2(z0)))))))))))))))))), 3'(4(4(1(0(3(2(2(3(0(0(4(3(3(4(2(2(z0))))))))))))))))), 4'(4(1(0(3(2(2(3(0(0(4(3(3(4(2(2(z0)))))))))))))))), 4'(1(0(3(2(2(3(0(0(4(3(3(4(2(2(z0))))))))))))))), 1'(0(3(2(2(3(0(0(4(3(3(4(2(2(z0)))))))))))))), 0'(3(2(2(3(0(0(4(3(3(4(2(2(z0))))))))))))), 3'(2(2(3(0(0(4(3(3(4(2(2(z0)))))))))))), 2'(2(3(0(0(4(3(3(4(2(2(z0))))))))))), 2'(3(0(0(4(3(3(4(2(2(z0)))))))))), 3'(0(0(4(3(3(4(2(2(z0))))))))), 0'(0(4(3(3(4(2(2(z0)))))))), 0'(4(3(3(4(2(2(z0))))))), 4'(3(3(4(2(2(z0)))))), 3'(3(4(2(2(z0))))), 3'(4(2(2(z0)))), 4'(2(2(z0))), 2'(2(z0)), 2'(z0))
   4'(c_3(c_3(c_3(c_0(c_2(c_1(c_2(c_2(c_3(c_2(c_0(c_1(c_1(c_4(c_1(c_3(c_4(c_2(c_4(z0)))))))))))))))))))) -> c111(3'(4(1(3(3(2(1(2(1(1(0(2(2(0(0(1(1(2(3(2(z0)))))))))))))))))))), 4'(1(3(3(2(1(2(1(1(0(2(2(0(0(1(1(2(3(2(z0))))))))))))))))))), 1'(3(3(2(1(2(1(1(0(2(2(0(0(1(1(2(3(2(z0)))))))))))))))))), 3'(3(2(1(2(1(1(0(2(2(0(0(1(1(2(3(2(z0))))))))))))))))), 3'(2(1(2(1(1(0(2(2(0(0(1(1(2(3(2(z0)))))))))))))))), 2'(1(2(1(1(0(2(2(0(0(1(1(2(3(2(z0))))))))))))))), 1'(2(1(1(0(2(2(0(0(1(1(2(3(2(z0)))))))))))))), 2'(1(1(0(2(2(0(0(1(1(2(3(2(z0))))))))))))), 1'(1(0(2(2(0(0(1(1(2(3(2(z0)))))))))))), 1'(0(2(2(0(0(1(1(2(3(2(z0))))))))))), 0'(2(2(0(0(1(1(2(3(2(z0)))))))))), 2'(2(0(0(1(1(2(3(2(z0))))))))), 2'(0(0(1(1(2(3(2(z0)))))))), 0'(0(1(1(2(3(2(z0))))))), 0'(1(1(2(3(2(z0)))))), 1'(1(2(3(2(z0))))), 1'(2(3(2(z0)))), 2'(3(2(z0))), 3'(2(z0)), 2'(z0))
   4'(c_4(c_4(c_1(c_3(c_3(c_4(c_4(c_2(c_2(c_0(c_1(c_0(c_2(c_4(c_3(c_2(c_2(c_0(c_2(z0)))))))))))))))))))) -> c112(4'(3(2(3(2(2(0(0(1(3(4(2(2(2(4(4(1(2(0(2(z0)))))))))))))))))))), 3'(2(3(2(2(0(0(1(3(4(2(2(2(4(4(1(2(0(2(z0))))))))))))))))))), 2'(3(2(2(0(0(1(3(4(2(2(2(4(4(1(2(0(2(z0)))))))))))))))))), 3'(2(2(0(0(1(3(4(2(2(2(4(4(1(2(0(2(z0))))))))))))))))), 2'(2(0(0(1(3(4(2(2(2(4(4(1(2(0(2(z0)))))))))))))))), 2'(0(0(1(3(4(2(2(2(4(4(1(2(0(2(z0))))))))))))))), 0'(0(1(3(4(2(2(2(4(4(1(2(0(2(z0)))))))))))))), 0'(1(3(4(2(2(2(4(4(1(2(0(2(z0))))))))))))), 1'(3(4(2(2(2(4(4(1(2(0(2(z0)))))))))))), 3'(4(2(2(2(4(4(1(2(0(2(z0))))))))))), 4'(2(2(2(4(4(1(2(0(2(z0)))))))))), 2'(2(2(4(4(1(2(0(2(z0))))))))), 2'(2(4(4(1(2(0(2(z0)))))))), 2'(4(4(1(2(0(2(z0))))))), 4'(4(1(2(0(2(z0)))))), 4'(1(2(0(2(z0))))), 1'(2(0(2(z0)))), 2'(0(2(z0))), 0'(2(z0)), 2'(z0))
   4'(c_0(c_4(c_2(c_2(c_3(c_3(c_2(c_2(c_1(c_2(c_1(c_0(c_1(c_0(c_3(c_2(c_1(c_2(c_0(z0)))))))))))))))))))) -> c113(1'(1(2(2(0(0(4(4(2(3(3(3(2(2(2(0(3(0(0(2(z0)))))))))))))))))))), 1'(2(2(0(0(4(4(2(3(3(3(2(2(2(0(3(0(0(2(z0))))))))))))))))))), 2'(2(0(0(4(4(2(3(3(3(2(2(2(0(3(0(0(2(z0)))))))))))))))))), 2'(0(0(4(4(2(3(3(3(2(2(2(0(3(0(0(2(z0))))))))))))))))), 0'(0(4(4(2(3(3(3(2(2(2(0(3(0(0(2(z0)))))))))))))))), 0'(4(4(2(3(3(3(2(2(2(0(3(0(0(2(z0))))))))))))))), 4'(4(2(3(3(3(2(2(2(0(3(0(0(2(z0)))))))))))))), 4'(2(3(3(3(2(2(2(0(3(0(0(2(z0))))))))))))), 2'(3(3(3(2(2(2(0(3(0(0(2(z0)))))))))))), 3'(3(3(2(2(2(0(3(0(0(2(z0))))))))))), 3'(3(2(2(2(0(3(0(0(2(z0)))))))))), 3'(2(2(2(0(3(0(0(2(z0))))))))), 2'(2(2(0(3(0(0(2(z0)))))))), 2'(2(0(3(0(0(2(z0))))))), 2'(0(3(0(0(2(z0)))))), 0'(3(0(0(2(z0))))), 3'(0(0(2(z0)))), 0'(0(2(z0))), 0'(2(z0)), 2'(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_1(c_4(c_2(c_2(c_0(c_3(c_2(c_0(c_4(c_1(c_3(c_2(c_0(c_0(c_3(c_2(c_3(c_0(c_2(z0)))))))))))))))))))) -> c11(2'(4(2(1(2(2(3(0(2(0(1(2(2(0(1(2(0(0(4(2(z0)))))))))))))))))))), 4'(2(1(2(2(3(0(2(0(1(2(2(0(1(2(0(0(4(2(z0))))))))))))))))))), 2'(1(2(2(3(0(2(0(1(2(2(0(1(2(0(0(4(2(z0)))))))))))))))))), 1'(2(2(3(0(2(0(1(2(2(0(1(2(0(0(4(2(z0))))))))))))))))), 2'(2(3(0(2(0(1(2(2(0(1(2(0(0(4(2(z0)))))))))))))))), 2'(3(0(2(0(1(2(2(0(1(2(0(0(4(2(z0))))))))))))))), 3'(0(2(0(1(2(2(0(1(2(0(0(4(2(z0)))))))))))))), 0'(2(0(1(2(2(0(1(2(0(0(4(2(z0))))))))))))), 2'(0(1(2(2(0(1(2(0(0(4(2(z0)))))))))))), 0'(1(2(2(0(1(2(0(0(4(2(z0))))))))))), 1'(2(2(0(1(2(0(0(4(2(z0)))))))))), 2'(2(0(1(2(0(0(4(2(z0))))))))), 2'(0(1(2(0(0(4(2(z0)))))))), 0'(1(2(0(0(4(2(z0))))))), 1'(2(0(0(4(2(z0)))))), 2'(0(0(4(2(z0))))), 0'(0(4(2(z0)))), 0'(4(2(z0))), 4'(2(z0)), 2'(z0))
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   4'(c_2(c_3(c_2(c_2(c_0(c_0(c_4(c_0(c_2(c_0(c_1(c_3(c_0(c_2(c_1(c_0(c_1(c_2(c_4(z0)))))))))))))))))))) -> c104(1'(0(2(0(4(3(4(3(0(3(2(2(4(0(2(1(2(2(4(2(z0)))))))))))))))))))), 0'(2(0(4(3(4(3(0(3(2(2(4(0(2(1(2(2(4(2(z0))))))))))))))))))), 2'(0(4(3(4(3(0(3(2(2(4(0(2(1(2(2(4(2(z0)))))))))))))))))), 0'(4(3(4(3(0(3(2(2(4(0(2(1(2(2(4(2(z0))))))))))))))))), 4'(3(4(3(0(3(2(2(4(0(2(1(2(2(4(2(z0)))))))))))))))), 3'(4(3(0(3(2(2(4(0(2(1(2(2(4(2(z0))))))))))))))), 4'(3(0(3(2(2(4(0(2(1(2(2(4(2(z0)))))))))))))), 3'(0(3(2(2(4(0(2(1(2(2(4(2(z0))))))))))))), 0'(3(2(2(4(0(2(1(2(2(4(2(z0)))))))))))), 3'(2(2(4(0(2(1(2(2(4(2(z0))))))))))), 2'(2(4(0(2(1(2(2(4(2(z0)))))))))), 2'(4(0(2(1(2(2(4(2(z0))))))))), 4'(0(2(1(2(2(4(2(z0)))))))), 0'(2(1(2(2(4(2(z0))))))), 2'(1(2(2(4(2(z0)))))), 1'(2(2(4(2(z0))))), 2'(2(4(2(z0)))), 2'(4(2(z0))), 4'(2(z0)), 2'(z0))
   4'(c_4(c_0(c_3(c_0(c_4(c_2(c_4(c_2(c_3(c_0(c_2(c_2(c_0(c_4(c_3(c_3(c_4(c_2(c_2(z0)))))))))))))))))))) -> c105(2'(3(3(1(0(2(2(3(1(4(0(0(1(2(2(0(4(4(2(2(z0)))))))))))))))))))), 3'(3(1(0(2(2(3(1(4(0(0(1(2(2(0(4(4(2(2(z0))))))))))))))))))), 3'(1(0(2(2(3(1(4(0(0(1(2(2(0(4(4(2(2(z0)))))))))))))))))), 1'(0(2(2(3(1(4(0(0(1(2(2(0(4(4(2(2(z0))))))))))))))))), 0'(2(2(3(1(4(0(0(1(2(2(0(4(4(2(2(z0)))))))))))))))), 2'(2(3(1(4(0(0(1(2(2(0(4(4(2(2(z0))))))))))))))), 2'(3(1(4(0(0(1(2(2(0(4(4(2(2(z0)))))))))))))), 3'(1(4(0(0(1(2(2(0(4(4(2(2(z0))))))))))))), 1'(4(0(0(1(2(2(0(4(4(2(2(z0)))))))))))), 4'(0(0(1(2(2(0(4(4(2(2(z0))))))))))), 0'(0(1(2(2(0(4(4(2(2(z0)))))))))), 0'(1(2(2(0(4(4(2(2(z0))))))))), 1'(2(2(0(4(4(2(2(z0)))))))), 2'(2(0(4(4(2(2(z0))))))), 2'(0(4(4(2(2(z0)))))), 0'(4(4(2(2(z0))))), 4'(4(2(2(z0)))), 4'(2(2(z0))), 2'(2(z0)), 2'(z0))
   4'(c_0(c_0(c_0(c_0(c_4(c_2(c_1(c_1(c_1(c_1(c_3(c_2(c_4(c_0(c_0(c_3(c_2(c_4(c_1(z0)))))))))))))))))))) -> c106(2'(1(2(2(0(2(4(3(1(0(4(1(4(0(3(4(1(3(4(4(z0)))))))))))))))))))), 1'(2(2(0(2(4(3(1(0(4(1(4(0(3(4(1(3(4(4(z0))))))))))))))))))), 2'(2(0(2(4(3(1(0(4(1(4(0(3(4(1(3(4(4(z0)))))))))))))))))), 2'(0(2(4(3(1(0(4(1(4(0(3(4(1(3(4(4(z0))))))))))))))))), 0'(2(4(3(1(0(4(1(4(0(3(4(1(3(4(4(z0)))))))))))))))), 2'(4(3(1(0(4(1(4(0(3(4(1(3(4(4(z0))))))))))))))), 4'(3(1(0(4(1(4(0(3(4(1(3(4(4(z0)))))))))))))), 3'(1(0(4(1(4(0(3(4(1(3(4(4(z0))))))))))))), 1'(0(4(1(4(0(3(4(1(3(4(4(z0)))))))))))), 0'(4(1(4(0(3(4(1(3(4(4(z0))))))))))), 4'(1(4(0(3(4(1(3(4(4(z0)))))))))), 1'(4(0(3(4(1(3(4(4(z0))))))))), 4'(0(3(4(1(3(4(4(z0)))))))), 0'(3(4(1(3(4(4(z0))))))), 3'(4(1(3(4(4(z0)))))), 4'(1(3(4(4(z0))))), 1'(3(4(4(z0)))), 3'(4(4(z0))), 4'(4(z0)), 4'(z0))
   4'(c_4(c_2(c_2(c_0(c_0(c_3(c_0(c_3(c_1(c_2(c_3(c_3(c_1(c_2(c_2(c_2(c_4(c_4(c_4(z0)))))))))))))))))))) -> c107(4'(2(3(0(2(2(0(2(2(4(3(1(1(4(4(2(4(2(3(3(z0)))))))))))))))))))), 2'(3(0(2(2(0(2(2(4(3(1(1(4(4(2(4(2(3(3(z0))))))))))))))))))), 3'(0(2(2(0(2(2(4(3(1(1(4(4(2(4(2(3(3(z0)))))))))))))))))), 0'(2(2(0(2(2(4(3(1(1(4(4(2(4(2(3(3(z0))))))))))))))))), 2'(2(0(2(2(4(3(1(1(4(4(2(4(2(3(3(z0)))))))))))))))), 2'(0(2(2(4(3(1(1(4(4(2(4(2(3(3(z0))))))))))))))), 0'(2(2(4(3(1(1(4(4(2(4(2(3(3(z0)))))))))))))), 2'(2(4(3(1(1(4(4(2(4(2(3(3(z0))))))))))))), 2'(4(3(1(1(4(4(2(4(2(3(3(z0)))))))))))), 4'(3(1(1(4(4(2(4(2(3(3(z0))))))))))), 3'(1(1(4(4(2(4(2(3(3(z0)))))))))), 1'(1(4(4(2(4(2(3(3(z0))))))))), 1'(4(4(2(4(2(3(3(z0)))))))), 4'(4(2(4(2(3(3(z0))))))), 4'(2(4(2(3(3(z0)))))), 2'(4(2(3(3(z0))))), 4'(2(3(3(z0)))), 2'(3(3(z0))), 3'(3(z0)), 3'(z0))
   4'(c_2(c_3(c_0(c_2(c_2(c_4(c_0(c_0(c_3(c_1(c_2(c_0(c_4(c_2(c_0(c_2(c_3(c_3(c_0(z0)))))))))))))))))))) -> c108(2'(2(2(2(4(0(3(0(4(1(2(2(1(3(3(2(0(3(1(0(z0)))))))))))))))))))), 2'(2(2(4(0(3(0(4(1(2(2(1(3(3(2(0(3(1(0(z0))))))))))))))))))), 2'(2(4(0(3(0(4(1(2(2(1(3(3(2(0(3(1(0(z0)))))))))))))))))), 2'(4(0(3(0(4(1(2(2(1(3(3(2(0(3(1(0(z0))))))))))))))))), 4'(0(3(0(4(1(2(2(1(3(3(2(0(3(1(0(z0)))))))))))))))), 0'(3(0(4(1(2(2(1(3(3(2(0(3(1(0(z0))))))))))))))), 3'(0(4(1(2(2(1(3(3(2(0(3(1(0(z0)))))))))))))), 0'(4(1(2(2(1(3(3(2(0(3(1(0(z0))))))))))))), 4'(1(2(2(1(3(3(2(0(3(1(0(z0)))))))))))), 1'(2(2(1(3(3(2(0(3(1(0(z0))))))))))), 2'(2(1(3(3(2(0(3(1(0(z0)))))))))), 2'(1(3(3(2(0(3(1(0(z0))))))))), 1'(3(3(2(0(3(1(0(z0)))))))), 3'(3(2(0(3(1(0(z0))))))), 3'(2(0(3(1(0(z0)))))), 2'(0(3(1(0(z0))))), 0'(3(1(0(z0)))), 3'(1(0(z0))), 1'(0(z0)), 0'(z0))
   4'(c_1(c_1(c_1(c_4(c_2(c_4(c_2(c_0(c_2(c_3(c_3(c_1(c_3(c_0(c_2(c_2(c_0(c_0(c_3(z0)))))))))))))))))))) -> c109(0'(4(2(1(2(2(2(0(4(2(3(3(0(2(1(4(0(1(4(2(z0)))))))))))))))))))), 4'(2(1(2(2(2(0(4(2(3(3(0(2(1(4(0(1(4(2(z0))))))))))))))))))), 2'(1(2(2(2(0(4(2(3(3(0(2(1(4(0(1(4(2(z0)))))))))))))))))), 1'(2(2(2(0(4(2(3(3(0(2(1(4(0(1(4(2(z0))))))))))))))))), 2'(2(2(0(4(2(3(3(0(2(1(4(0(1(4(2(z0)))))))))))))))), 2'(2(0(4(2(3(3(0(2(1(4(0(1(4(2(z0))))))))))))))), 2'(0(4(2(3(3(0(2(1(4(0(1(4(2(z0)))))))))))))), 0'(4(2(3(3(0(2(1(4(0(1(4(2(z0))))))))))))), 4'(2(3(3(0(2(1(4(0(1(4(2(z0)))))))))))), 2'(3(3(0(2(1(4(0(1(4(2(z0))))))))))), 3'(3(0(2(1(4(0(1(4(2(z0)))))))))), 3'(0(2(1(4(0(1(4(2(z0))))))))), 0'(2(1(4(0(1(4(2(z0)))))))), 2'(1(4(0(1(4(2(z0))))))), 1'(4(0(1(4(2(z0)))))), 4'(0(1(4(2(z0))))), 0'(1(4(2(z0)))), 1'(4(2(z0))), 4'(2(z0)), 2'(z0))
   4'(c_0(c_2(c_2(c_4(c_3(c_1(c_3(c_4(c_0(c_0(c_0(c_2(c_2(c_2(c_3(c_0(c_4(c_2(c_4(z0)))))))))))))))))))) -> c110(2'(1(3(3(4(4(1(0(3(2(2(3(0(0(4(3(3(4(2(2(z0)))))))))))))))))))), 1'(3(3(4(4(1(0(3(2(2(3(0(0(4(3(3(4(2(2(z0))))))))))))))))))), 3'(3(4(4(1(0(3(2(2(3(0(0(4(3(3(4(2(2(z0)))))))))))))))))), 3'(4(4(1(0(3(2(2(3(0(0(4(3(3(4(2(2(z0))))))))))))))))), 4'(4(1(0(3(2(2(3(0(0(4(3(3(4(2(2(z0)))))))))))))))), 4'(1(0(3(2(2(3(0(0(4(3(3(4(2(2(z0))))))))))))))), 1'(0(3(2(2(3(0(0(4(3(3(4(2(2(z0)))))))))))))), 0'(3(2(2(3(0(0(4(3(3(4(2(2(z0))))))))))))), 3'(2(2(3(0(0(4(3(3(4(2(2(z0)))))))))))), 2'(2(3(0(0(4(3(3(4(2(2(z0))))))))))), 2'(3(0(0(4(3(3(4(2(2(z0)))))))))), 3'(0(0(4(3(3(4(2(2(z0))))))))), 0'(0(4(3(3(4(2(2(z0)))))))), 0'(4(3(3(4(2(2(z0))))))), 4'(3(3(4(2(2(z0)))))), 3'(3(4(2(2(z0))))), 3'(4(2(2(z0)))), 4'(2(2(z0))), 2'(2(z0)), 2'(z0))
   4'(c_3(c_3(c_3(c_0(c_2(c_1(c_2(c_2(c_3(c_2(c_0(c_1(c_1(c_4(c_1(c_3(c_4(c_2(c_4(z0)))))))))))))))))))) -> c111(3'(4(1(3(3(2(1(2(1(1(0(2(2(0(0(1(1(2(3(2(z0)))))))))))))))))))), 4'(1(3(3(2(1(2(1(1(0(2(2(0(0(1(1(2(3(2(z0))))))))))))))))))), 1'(3(3(2(1(2(1(1(0(2(2(0(0(1(1(2(3(2(z0)))))))))))))))))), 3'(3(2(1(2(1(1(0(2(2(0(0(1(1(2(3(2(z0))))))))))))))))), 3'(2(1(2(1(1(0(2(2(0(0(1(1(2(3(2(z0)))))))))))))))), 2'(1(2(1(1(0(2(2(0(0(1(1(2(3(2(z0))))))))))))))), 1'(2(1(1(0(2(2(0(0(1(1(2(3(2(z0)))))))))))))), 2'(1(1(0(2(2(0(0(1(1(2(3(2(z0))))))))))))), 1'(1(0(2(2(0(0(1(1(2(3(2(z0)))))))))))), 1'(0(2(2(0(0(1(1(2(3(2(z0))))))))))), 0'(2(2(0(0(1(1(2(3(2(z0)))))))))), 2'(2(0(0(1(1(2(3(2(z0))))))))), 2'(0(0(1(1(2(3(2(z0)))))))), 0'(0(1(1(2(3(2(z0))))))), 0'(1(1(2(3(2(z0)))))), 1'(1(2(3(2(z0))))), 1'(2(3(2(z0)))), 2'(3(2(z0))), 3'(2(z0)), 2'(z0))
   4'(c_4(c_4(c_1(c_3(c_3(c_4(c_4(c_2(c_2(c_0(c_1(c_0(c_2(c_4(c_3(c_2(c_2(c_0(c_2(z0)))))))))))))))))))) -> c112(4'(3(2(3(2(2(0(0(1(3(4(2(2(2(4(4(1(2(0(2(z0)))))))))))))))))))), 3'(2(3(2(2(0(0(1(3(4(2(2(2(4(4(1(2(0(2(z0))))))))))))))))))), 2'(3(2(2(0(0(1(3(4(2(2(2(4(4(1(2(0(2(z0)))))))))))))))))), 3'(2(2(0(0(1(3(4(2(2(2(4(4(1(2(0(2(z0))))))))))))))))), 2'(2(0(0(1(3(4(2(2(2(4(4(1(2(0(2(z0)))))))))))))))), 2'(0(0(1(3(4(2(2(2(4(4(1(2(0(2(z0))))))))))))))), 0'(0(1(3(4(2(2(2(4(4(1(2(0(2(z0)))))))))))))), 0'(1(3(4(2(2(2(4(4(1(2(0(2(z0))))))))))))), 1'(3(4(2(2(2(4(4(1(2(0(2(z0)))))))))))), 3'(4(2(2(2(4(4(1(2(0(2(z0))))))))))), 4'(2(2(2(4(4(1(2(0(2(z0)))))))))), 2'(2(2(4(4(1(2(0(2(z0))))))))), 2'(2(4(4(1(2(0(2(z0)))))))), 2'(4(4(1(2(0(2(z0))))))), 4'(4(1(2(0(2(z0)))))), 4'(1(2(0(2(z0))))), 1'(2(0(2(z0)))), 2'(0(2(z0))), 0'(2(z0)), 2'(z0))
   4'(c_0(c_4(c_2(c_2(c_3(c_3(c_2(c_2(c_1(c_2(c_1(c_0(c_1(c_0(c_3(c_2(c_1(c_2(c_0(z0)))))))))))))))))))) -> c113(1'(1(2(2(0(0(4(4(2(3(3(3(2(2(2(0(3(0(0(2(z0)))))))))))))))))))), 1'(2(2(0(0(4(4(2(3(3(3(2(2(2(0(3(0(0(2(z0))))))))))))))))))), 2'(2(0(0(4(4(2(3(3(3(2(2(2(0(3(0(0(2(z0)))))))))))))))))), 2'(0(0(4(4(2(3(3(3(2(2(2(0(3(0(0(2(z0))))))))))))))))), 0'(0(4(4(2(3(3(3(2(2(2(0(3(0(0(2(z0)))))))))))))))), 0'(4(4(2(3(3(3(2(2(2(0(3(0(0(2(z0))))))))))))))), 4'(4(2(3(3(3(2(2(2(0(3(0(0(2(z0)))))))))))))), 4'(2(3(3(3(2(2(2(0(3(0(0(2(z0))))))))))))), 2'(3(3(3(2(2(2(0(3(0(0(2(z0)))))))))))), 3'(3(3(2(2(2(0(3(0(0(2(z0))))))))))), 3'(3(2(2(2(0(3(0(0(2(z0)))))))))), 3'(2(2(2(0(3(0(0(2(z0))))))))), 2'(2(2(0(3(0(0(2(z0)))))))), 2'(2(0(3(0(0(2(z0))))))), 2'(0(3(0(0(2(z0)))))), 0'(3(0(0(2(z0))))), 3'(0(0(2(z0)))), 0'(0(2(z0))), 0'(2(z0)), 2'(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, c29_20, c30_20, c31_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, c64_20, c65_20, c66_20, c67_20, c68_20, c69_20, c70_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_20, c90_20, c91_20, c92_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_1(c_4(c_2(c_2(c_0(c_3(c_2(c_0(c_4(c_1(c_3(c_2(c_0(c_0(c_3(c_2(c_3(c_0(c_2(z0)))))))))))))))))))) -> 2(4(2(1(2(2(3(0(2(0(1(2(2(0(1(2(0(0(4(2(z0))))))))))))))))))))
   0(c_0(c_2(c_1(c_0(c_3(c_1(c_3(c_1(c_3(c_3(c_3(c_2(c_4(c_0(c_0(c_1(c_2(c_0(c_4(z0)))))))))))))))))))) -> 4(4(1(4(4(3(2(1(1(0(2(2(1(2(1(0(3(4(2(2(z0))))))))))))))))))))
   0(c_3(c_2(c_0(c_4(c_2(c_0(c_1(c_1(c_3(c_2(c_3(c_4(c_4(c_1(c_2(c_4(c_2(c_4(c_2(z0)))))))))))))))))))) -> 2(2(4(3(4(2(3(4(1(2(1(0(0(2(0(4(1(4(2(2(z0))))))))))))))))))))
   0(c_1(c_4(c_3(c_2(c_3(c_0(c_1(c_2(c_4(c_0(c_3(c_4(c_2(c_0(c_0(c_3(c_2(c_4(c_2(z0)))))))))))))))))))) -> 2(1(3(0(0(1(4(3(1(3(2(2(2(1(3(0(2(0(0(2(z0))))))))))))))))))))
   0(c_3(c_3(c_2(c_4(c_1(c_0(c_0(c_1(c_2(c_0(c_4(c_3(c_3(c_4(c_4(c_4(c_3(c_1(c_2(z0)))))))))))))))))))) -> 4(1(2(2(2(2(4(4(2(0(3(2(1(0(4(4(1(4(2(0(z0))))))))))))))))))))
   0(c_4(c_4(c_2(c_3(c_2(c_1(c_2(c_2(c_1(c_4(c_1(c_1(c_1(c_4(c_2(c_2(c_1(c_2(c_0(z0)))))))))))))))))))) -> 3(0(0(1(4(1(2(3(3(4(2(1(1(3(2(2(1(3(2(4(z0))))))))))))))))))))
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   0(c_4(c_2(c_0(c_0(c_3(c_2(c_1(c_0(c_1(c_3(c_1(c_2(c_4(c_4(c_0(c_2(c_3(c_2(c_2(z0)))))))))))))))))))) -> 2(1(2(2(3(3(2(0(4(4(3(3(1(0(0(3(4(2(2(4(z0))))))))))))))))))))
   1(z0) -> c_1(z0)
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   1(c_0(c_0(c_3(c_1(c_4(c_2(c_1(c_2(c_2(c_2(c_2(c_2(c_3(c_0(c_1(c_4(c_2(c_0(c_4(z0)))))))))))))))))))) -> 2(4(4(0(3(3(0(3(3(3(2(4(2(2(0(0(0(0(3(3(z0))))))))))))))))))))
   1(c_1(c_1(c_1(c_2(c_4(c_4(c_3(c_0(c_2(c_3(c_3(c_1(c_3(c_0(c_1(c_4(c_2(c_2(c_3(z0)))))))))))))))))))) -> 3(4(2(1(1(0(1(2(1(4(4(2(3(3(4(2(1(2(3(2(z0))))))))))))))))))))
   1(c_0(c_0(c_4(c_0(c_0(c_2(c_3(c_2(c_2(c_3(c_3(c_1(c_3(c_4(c_3(c_2(c_2(c_1(c_1(z0)))))))))))))))))))) -> 1(2(2(2(0(0(2(2(3(0(4(4(2(1(4(2(2(2(4(1(z0))))))))))))))))))))
   1(c_1(c_2(c_0(c_4(c_1(c_3(c_1(c_2(c_2(c_0(c_4(c_0(c_2(c_3(c_4(c_4(c_0(c_2(c_3(z0)))))))))))))))))))) -> 1(0(2(2(4(0(3(1(0(0(3(0(2(1(1(2(2(3(1(0(z0))))))))))))))))))))
   1(c_3(c_2(c_3(c_1(c_0(c_3(c_3(c_0(c_1(c_2(c_0(c_2(c_2(c_2(c_0(c_1(c_3(c_1(c_0(z0)))))))))))))))))))) -> 3(3(4(3(1(2(2(4(4(0(2(2(2(2(0(0(2(0(1(4(z0))))))))))))))))))))
   1(c_1(c_2(c_1(c_3(c_4(c_0(c_2(c_2(c_3(c_3(c_3(c_3(c_0(c_1(c_0(c_4(c_3(c_0(c_2(z0)))))))))))))))))))) -> 3(2(1(4(2(2(3(4(2(3(1(4(2(3(0(3(3(4(0(3(z0))))))))))))))))))))
   1(c_1(c_3(c_3(c_1(c_1(c_3(c_2(c_3(c_2(c_0(c_4(c_2(c_0(c_2(c_1(c_1(c_0(c_4(c_1(z0)))))))))))))))))))) -> 2(3(4(2(0(0(0(0(3(1(2(2(4(1(2(3(1(0(4(4(z0))))))))))))))))))))
   1(c_3(c_1(c_4(c_0(c_1(c_4(c_3(c_0(c_4(c_2(c_1(c_0(c_0(c_1(c_2(c_3(c_2(c_2(c_3(z0)))))))))))))))))))) -> 0(4(0(3(0(3(0(3(2(0(1(0(0(2(1(3(2(1(2(0(z0))))))))))))))))))))
   1(c_0(c_2(c_1(c_1(c_1(c_2(c_0(c_0(c_2(c_1(c_3(c_3(c_3(c_1(c_4(c_1(c_0(c_0(c_1(z0)))))))))))))))))))) -> 2(2(1(0(1(4(3(2(3(0(0(0(4(3(2(1(1(2(0(2(z0))))))))))))))))))))
   1(c_0(c_4(c_0(c_1(c_3(c_0(c_2(c_3(c_2(c_1(c_2(c_3(c_2(c_4(c_2(c_4(c_3(c_4(c_2(z0)))))))))))))))))))) -> 2(3(0(2(0(2(2(2(3(4(1(0(2(3(1(2(1(2(4(2(z0))))))))))))))))))))
   1(c_4(c_4(c_2(c_3(c_1(c_2(c_3(c_3(c_1(c_0(c_1(c_3(c_2(c_1(c_2(c_1(c_2(c_2(c_2(z0)))))))))))))))))))) -> 2(0(2(0(2(0(2(0(4(2(4(2(3(2(3(1(2(2(2(1(z0))))))))))))))))))))
   1(c_1(c_0(c_0(c_1(c_3(c_2(c_4(c_3(c_1(c_4(c_0(c_4(c_1(c_2(c_2(c_2(c_3(c_3(c_2(z0)))))))))))))))))))) -> 3(1(4(3(1(0(3(4(0(3(2(2(4(0(2(3(3(2(2(0(z0))))))))))))))))))))
   2(z0) -> c_2(z0)
   2(c_1(c_3(c_4(c_1(c_0(c_3(c_2(c_0(c_3(c_0(c_1(c_1(c_4(c_0(c_0(c_2(c_4(c_4(c_1(z0)))))))))))))))))))) -> 3(0(3(2(1(4(1(4(0(0(2(2(0(1(1(0(4(1(2(1(z0))))))))))))))))))))
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   2(c_3(c_4(c_4(c_4(c_3(c_0(c_0(c_2(c_3(c_4(c_3(c_0(c_4(c_3(c_0(c_1(c_2(c_4(c_2(z0)))))))))))))))))))) -> 3(3(2(0(4(0(2(4(2(3(2(2(4(4(0(4(0(3(4(1(z0))))))))))))))))))))
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   2(c_4(c_2(c_2(c_1(c_2(c_4(c_2(c_3(c_0(c_1(c_0(c_2(c_1(c_2(c_0(c_0(c_0(c_4(c_0(z0)))))))))))))))))))) -> 2(3(0(2(0(3(0(2(1(0(4(2(2(1(3(1(3(0(4(3(z0))))))))))))))))))))
   2(c_3(c_1(c_2(c_3(c_3(c_3(c_1(c_1(c_1(c_0(c_1(c_2(c_4(c_0(c_4(c_2(c_1(c_2(c_2(z0)))))))))))))))))))) -> 2(2(0(1(4(3(2(2(4(3(0(2(4(3(2(0(0(1(0(2(z0))))))))))))))))))))
   2(c_4(c_0(c_3(c_1(c_2(c_1(c_1(c_2(c_0(c_2(c_2(c_0(c_3(c_2(c_1(c_1(c_0(c_1(c_3(z0)))))))))))))))))))) -> 2(3(3(1(3(1(2(1(1(0(2(0(0(2(3(3(0(3(3(3(z0))))))))))))))))))))
   2(c_4(c_3(c_2(c_0(c_2(c_4(c_1(c_2(c_0(c_4(c_1(c_2(c_3(c_1(c_2(c_3(c_4(c_1(c_1(z0)))))))))))))))))))) -> 2(0(1(1(2(2(4(3(2(2(1(3(0(1(2(3(0(4(4(4(z0))))))))))))))))))))
   2(c_0(c_0(c_0(c_2(c_2(c_3(c_1(c_3(c_1(c_0(c_4(c_3(c_3(c_0(c_2(c_4(c_1(c_0(c_3(z0)))))))))))))))))))) -> 4(0(3(4(3(4(0(0(2(2(2(1(2(2(2(1(1(2(0(4(z0))))))))))))))))))))
   2(c_4(c_3(c_2(c_2(c_4(c_0(c_3(c_2(c_4(c_3(c_1(c_0(c_4(c_4(c_3(c_3(c_2(c_2(c_1(z0)))))))))))))))))))) -> 3(4(3(0(2(2(2(4(3(2(0(3(0(3(2(0(3(0(4(2(z0))))))))))))))))))))
   2(c_3(c_0(c_1(c_3(c_3(c_4(c_2(c_1(c_4(c_4(c_2(c_3(c_1(c_1(c_1(c_2(c_3(c_0(c_2(z0)))))))))))))))))))) -> 2(2(3(0(4(4(0(0(1(3(3(0(4(3(4(2(2(4(3(2(z0))))))))))))))))))))
   2(c_4(c_0(c_0(c_3(c_2(c_2(c_2(c_1(c_1(c_4(c_0(c_1(c_2(c_2(c_3(c_4(c_2(c_3(c_4(z0)))))))))))))))))))) -> 3(1(3(2(2(4(0(3(2(1(0(0(2(3(3(3(2(3(4(3(z0))))))))))))))))))))
   2(c_0(c_4(c_2(c_2(c_3(c_4(c_0(c_1(c_0(c_3(c_2(c_1(c_3(c_0(c_3(c_1(c_1(c_3(c_0(z0)))))))))))))))))))) -> 0(3(0(1(2(2(2(0(0(3(3(2(1(1(0(4(2(1(2(4(z0))))))))))))))))))))
   2(c_3(c_4(c_0(c_0(c_4(c_3(c_3(c_2(c_3(c_4(c_0(c_2(c_0(c_4(c_4(c_0(c_2(c_4(c_2(z0)))))))))))))))))))) -> 1(3(1(3(3(2(0(2(2(3(0(1(2(2(2(4(1(2(1(1(z0))))))))))))))))))))
   2(c_1(c_3(c_2(c_2(c_0(c_4(c_4(c_0(c_4(c_1(c_2(c_3(c_3(c_0(c_2(c_1(c_4(c_4(c_4(z0)))))))))))))))))))) -> 4(3(2(3(2(2(2(1(4(1(2(2(0(1(1(1(0(0(3(4(z0))))))))))))))))))))
   2(c_0(c_3(c_4(c_1(c_2(c_0(c_2(c_3(c_3(c_1(c_2(c_0(c_1(c_2(c_0(c_4(c_4(c_4(c_2(z0)))))))))))))))))))) -> 2(2(2(4(3(2(0(1(4(1(2(3(0(3(1(3(3(1(2(4(z0))))))))))))))))))))
   2(c_0(c_2(c_1(c_1(c_0(c_1(c_0(c_2(c_2(c_0(c_1(c_2(c_0(c_2(c_4(c_0(c_1(c_2(c_0(z0)))))))))))))))))))) -> 3(0(2(4(1(2(0(4(2(1(3(0(2(3(4(2(3(3(4(0(z0))))))))))))))))))))
   2(c_4(c_4(c_4(c_2(c_2(c_2(c_0(c_4(c_3(c_4(c_3(c_4(c_2(c_3(c_1(c_4(c_3(c_1(c_3(z0)))))))))))))))))))) -> 2(3(4(2(1(1(1(3(2(3(0(2(4(1(2(0(2(1(1(4(z0))))))))))))))))))))
   2(c_3(c_1(c_1(c_3(c_2(c_1(c_1(c_1(c_3(c_2(c_3(c_4(c_2(c_2(c_3(c_4(c_3(c_3(c_0(z0)))))))))))))))))))) -> 0(4(4(2(4(0(2(3(2(0(2(1(2(4(4(3(2(3(2(2(z0))))))))))))))))))))
   2(c_0(c_2(c_4(c_2(c_2(c_2(c_4(c_3(c_0(c_0(c_1(c_0(c_1(c_0(c_3(c_0(c_3(c_2(c_4(z0)))))))))))))))))))) -> 0(3(0(2(2(0(2(1(3(2(3(3(0(2(0(4(3(3(3(2(z0))))))))))))))))))))
   2(c_4(c_1(c_3(c_2(c_2(c_1(c_4(c_2(c_1(c_1(c_1(c_2(c_2(c_2(c_0(c_3(c_0(c_2(c_4(z0)))))))))))))))))))) -> 3(3(1(4(3(2(3(2(2(3(2(1(1(0(3(3(3(4(0(2(z0))))))))))))))))))))
   2(c_0(c_0(c_0(c_3(c_1(c_0(c_2(c_4(c_2(c_2(c_2(c_4(c_0(c_4(c_0(c_1(c_0(c_3(c_4(z0)))))))))))))))))))) -> 1(4(2(4(4(4(4(3(2(4(4(3(2(2(0(0(4(1(2(2(z0))))))))))))))))))))
   2(c_3(c_3(c_3(c_0(c_0(c_1(c_0(c_2(c_4(c_3(c_1(c_1(c_3(c_2(c_1(c_2(c_2(c_2(c_1(z0)))))))))))))))))))) -> 3(4(2(2(0(0(0(0(2(4(2(3(2(0(3(2(3(0(2(3(z0))))))))))))))))))))
   2(c_1(c_4(c_1(c_3(c_4(c_3(c_2(c_2(c_0(c_1(c_0(c_2(c_1(c_0(c_3(c_4(c_2(c_4(c_2(z0)))))))))))))))))))) -> 4(2(2(2(3(3(4(1(4(0(2(3(2(1(0(3(2(3(3(4(z0))))))))))))))))))))
   2(c_4(c_2(c_2(c_1(c_1(c_2(c_3(c_0(c_1(c_0(c_0(c_3(c_2(c_1(c_0(c_0(c_1(c_0(c_2(z0)))))))))))))))))))) -> 2(2(2(3(3(4(1(4(3(0(0(2(0(1(1(2(3(0(2(4(z0))))))))))))))))))))
   2(c_4(c_0(c_0(c_4(c_2(c_1(c_3(c_3(c_3(c_2(c_0(c_4(c_1(c_4(c_0(c_2(c_1(c_3(c_2(z0)))))))))))))))))))) -> 0(4(2(4(0(3(2(1(2(4(2(2(3(1(0(1(2(3(3(2(z0))))))))))))))))))))
   2(c_0(c_4(c_2(c_1(c_3(c_4(c_4(c_2(c_1(c_0(c_3(c_2(c_1(c_3(c_2(c_1(c_4(c_2(c_4(z0)))))))))))))))))))) -> 0(2(4(2(2(2(0(2(4(3(3(2(3(3(4(1(0(3(0(4(z0))))))))))))))))))))
   3(z0) -> c_3(z0)
   3(c_0(c_1(c_4(c_2(c_2(c_3(c_4(c_4(c_3(c_0(c_2(c_1(c_4(c_1(c_0(c_1(c_0(c_2(c_3(z0)))))))))))))))))))) -> 4(2(0(4(1(1(2(0(2(4(0(3(4(4(3(2(0(3(3(2(z0))))))))))))))))))))
   3(c_1(c_1(c_1(c_2(c_0(c_1(c_3(c_3(c_2(c_1(c_3(c_4(c_1(c_2(c_2(c_3(c_3(c_2(c_3(z0)))))))))))))))))))) -> 2(3(2(2(4(3(4(2(3(1(2(2(4(2(3(0(4(3(0(3(z0))))))))))))))))))))
   3(c_2(c_2(c_3(c_4(c_3(c_2(c_2(c_0(c_4(c_1(c_4(c_3(c_4(c_2(c_1(c_4(c_1(c_0(c_2(z0)))))))))))))))))))) -> 2(1(3(3(3(2(2(4(0(4(0(4(2(0(2(1(3(3(3(3(z0))))))))))))))))))))
   3(c_3(c_2(c_4(c_3(c_0(c_2(c_1(c_4(c_3(c_3(c_4(c_4(c_1(c_1(c_4(c_3(c_3(c_2(c_2(z0)))))))))))))))))))) -> 4(1(2(3(2(0(3(3(0(3(2(3(1(1(2(0(1(0(2(2(z0))))))))))))))))))))
   3(c_1(c_4(c_3(c_4(c_2(c_1(c_1(c_1(c_4(c_3(c_1(c_3(c_2(c_2(c_4(c_2(c_2(c_1(c_1(z0)))))))))))))))))))) -> 2(1(2(4(2(4(1(4(2(1(4(0(0(1(2(3(3(2(1(3(z0))))))))))))))))))))
   3(c_3(c_0(c_4(c_4(c_1(c_0(c_2(c_3(c_2(c_1(c_2(c_2(c_3(c_3(c_1(c_0(c_2(c_4(c_1(z0)))))))))))))))))))) -> 4(2(1(2(3(3(3(3(0(2(0(3(0(2(3(1(2(1(1(0(z0))))))))))))))))))))
   3(c_1(c_1(c_0(c_0(c_2(c_2(c_4(c_2(c_2(c_2(c_2(c_1(c_2(c_2(c_1(c_1(c_1(c_1(c_4(z0)))))))))))))))))))) -> 4(2(1(4(1(3(2(2(4(4(2(3(3(3(3(2(4(3(2(3(z0))))))))))))))))))))
   3(c_0(c_0(c_1(c_0(c_2(c_3(c_3(c_2(c_0(c_2(c_1(c_1(c_0(c_4(c_3(c_2(c_0(c_4(c_2(z0)))))))))))))))))))) -> 1(0(0(2(1(4(4(0(2(3(0(2(4(4(2(3(2(4(0(2(z0))))))))))))))))))))
   3(c_2(c_3(c_2(c_2(c_0(c_0(c_4(c_1(c_0(c_0(c_4(c_0(c_3(c_3(c_2(c_2(c_1(c_0(c_3(z0)))))))))))))))))))) -> 1(3(1(2(0(4(0(3(2(4(3(0(2(1(2(2(1(2(2(3(z0))))))))))))))))))))
   3(c_4(c_4(c_4(c_3(c_1(c_4(c_3(c_0(c_2(c_2(c_0(c_4(c_4(c_1(c_3(c_3(c_3(c_2(c_2(z0)))))))))))))))))))) -> 4(2(2(3(0(0(3(1(1(1(4(4(3(0(3(2(1(0(2(2(z0))))))))))))))))))))
   3(c_0(c_1(c_0(c_2(c_2(c_3(c_1(c_2(c_1(c_1(c_1(c_0(c_0(c_2(c_2(c_1(c_3(c_1(c_3(z0)))))))))))))))))))) -> 3(1(4(1(2(1(0(3(2(0(0(1(0(2(4(0(2(2(3(2(z0))))))))))))))))))))
   3(c_3(c_1(c_0(c_2(c_4(c_2(c_3(c_1(c_0(c_2(c_4(c_4(c_4(c_0(c_0(c_2(c_1(c_1(c_2(z0)))))))))))))))))))) -> 2(4(2(3(2(3(4(0(4(2(4(3(1(0(1(2(0(3(2(0(z0))))))))))))))))))))
   3(c_2(c_0(c_3(c_2(c_4(c_4(c_2(c_2(c_2(c_0(c_1(c_2(c_2(c_3(c_4(c_0(c_2(c_4(c_1(z0)))))))))))))))))))) -> 0(0(2(3(0(2(1(2(2(2(3(2(1(3(4(3(4(2(2(2(z0))))))))))))))))))))
   3(c_3(c_3(c_0(c_2(c_0(c_2(c_2(c_1(c_0(c_0(c_4(c_4(c_2(c_0(c_2(c_3(c_0(c_2(c_4(z0)))))))))))))))))))) -> 2(3(3(2(4(3(4(2(3(3(1(0(1(2(4(3(0(3(3(2(z0))))))))))))))))))))
   3(c_0(c_1(c_4(c_3(c_1(c_2(c_0(c_3(c_2(c_3(c_2(c_2(c_0(c_2(c_2(c_3(c_1(c_2(c_2(z0)))))))))))))))))))) -> 0(2(2(3(0(2(0(3(1(3(1(2(2(2(3(2(2(0(4(2(z0))))))))))))))))))))
   3(c_4(c_2(c_1(c_4(c_1(c_0(c_2(c_4(c_3(c_3(c_4(c_3(c_3(c_1(c_2(c_2(c_3(c_3(c_3(z0)))))))))))))))))))) -> 4(2(0(1(2(0(2(0(0(2(1(4(0(3(2(2(3(2(2(4(z0))))))))))))))))))))
   3(c_1(c_0(c_3(c_2(c_2(c_1(c_1(c_4(c_4(c_0(c_2(c_2(c_4(c_3(c_2(c_2(c_3(c_4(c_2(z0)))))))))))))))))))) -> 2(0(4(3(3(2(2(2(4(0(4(3(2(2(2(0(3(0(4(2(z0))))))))))))))))))))
   3(c_0(c_1(c_3(c_2(c_0(c_1(c_3(c_4(c_2(c_3(c_1(c_2(c_2(c_1(c_2(c_3(c_1(c_3(c_1(z0)))))))))))))))))))) -> 2(3(2(3(0(2(1(2(2(4(3(3(3(2(1(0(1(3(2(2(z0))))))))))))))))))))
   3(c_0(c_2(c_4(c_0(c_4(c_0(c_1(c_2(c_1(c_4(c_3(c_0(c_4(c_3(c_0(c_3(c_3(c_3(c_2(z0)))))))))))))))))))) -> 1(0(4(3(1(4(2(3(3(4(3(0(0(2(2(3(4(0(4(2(z0))))))))))))))))))))
   3(c_2(c_0(c_3(c_4(c_4(c_4(c_1(c_0(c_2(c_2(c_1(c_4(c_0(c_0(c_4(c_3(c_2(c_3(c_1(z0)))))))))))))))))))) -> 0(4(0(3(4(2(0(3(1(3(3(1(1(0(3(2(2(3(0(3(z0))))))))))))))))))))
   3(c_0(c_3(c_2(c_0(c_0(c_2(c_2(c_3(c_0(c_0(c_4(c_3(c_4(c_2(c_4(c_2(c_3(c_3(c_3(z0)))))))))))))))))))) -> 3(0(0(1(3(2(2(2(3(3(2(0(1(2(3(3(4(2(2(4(z0))))))))))))))))))))
   4(z0) -> c_4(z0)
   4(c_1(c_4(c_3(c_1(c_0(c_4(c_4(c_1(c_3(c_3(c_2(c_2(c_1(c_2(c_2(c_3(c_2(c_0(c_0(z0)))))))))))))))))))) -> 2(2(4(4(3(3(2(1(4(4(3(2(3(4(1(2(1(1(3(0(z0))))))))))))))))))))
   4(c_1(c_2(c_3(c_2(c_0(c_0(c_1(c_0(c_2(c_3(c_1(c_3(c_2(c_3(c_1(c_0(c_1(c_4(c_2(z0)))))))))))))))))))) -> 1(1(1(0(2(3(0(3(3(2(4(3(3(2(0(2(1(2(3(3(z0))))))))))))))))))))
   4(c_3(c_0(c_3(c_4(c_3(c_3(c_0(c_1(c_3(c_2(c_3(c_3(c_4(c_3(c_0(c_0(c_3(c_4(c_2(z0)))))))))))))))))))) -> 1(1(0(4(0(0(0(2(4(0(2(2(3(2(3(3(0(4(3(2(z0))))))))))))))))))))
   4(c_3(c_2(c_0(c_0(c_3(c_4(c_2(c_0(c_3(c_0(c_1(c_0(c_1(c_1(c_4(c_0(c_2(c_2(c_4(z0)))))))))))))))))))) -> 4(1(2(2(4(4(2(1(4(3(2(0(0(0(2(4(1(2(0(3(z0))))))))))))))))))))
   4(c_0(c_3(c_2(c_0(c_3(c_3(c_2(c_3(c_1(c_4(c_3(c_2(c_2(c_3(c_1(c_3(c_1(c_0(c_4(z0)))))))))))))))))))) -> 0(0(0(2(1(3(3(4(2(4(3(3(2(4(2(3(3(0(0(3(z0))))))))))))))))))))
   4(c_4(c_0(c_3(c_0(c_1(c_3(c_2(c_2(c_2(c_3(c_1(c_0(c_2(c_3(c_3(c_0(c_2(c_4(c_4(z0)))))))))))))))))))) -> 2(1(3(2(2(2(4(0(3(2(2(2(2(2(0(3(0(2(0(3(z0))))))))))))))))))))
   4(c_4(c_4(c_4(c_3(c_2(c_0(c_3(c_2(c_4(c_2(c_4(c_1(c_2(c_1(c_4(c_2(c_3(c_0(c_0(z0)))))))))))))))))))) -> 3(4(2(3(3(2(2(1(3(4(2(3(1(4(4(3(1(1(3(3(z0))))))))))))))))))))
   4(c_0(c_2(c_3(c_1(c_1(c_2(c_3(c_1(c_1(c_2(c_0(c_4(c_3(c_0(c_2(c_3(c_2(c_3(c_3(z0)))))))))))))))))))) -> 2(2(4(2(2(3(0(2(4(2(3(1(3(2(2(3(4(1(0(2(z0))))))))))))))))))))
   4(c_3(c_0(c_3(c_2(c_0(c_2(c_2(c_3(c_1(c_0(c_2(c_0(c_0(c_2(c_3(c_1(c_3(c_4(c_4(z0)))))))))))))))))))) -> 1(4(0(3(3(2(2(2(0(2(3(1(2(3(3(0(3(1(0(1(z0))))))))))))))))))))
   4(c_2(c_4(c_0(c_2(c_3(c_1(c_0(c_2(c_1(c_2(c_2(c_4(c_1(c_4(c_3(c_1(c_0(c_3(c_2(z0)))))))))))))))))))) -> 1(3(0(2(3(2(0(0(0(3(3(2(4(4(3(3(2(4(3(0(z0))))))))))))))))))))
   4(c_2(c_3(c_2(c_2(c_0(c_0(c_4(c_0(c_2(c_0(c_1(c_3(c_0(c_2(c_1(c_0(c_1(c_2(c_4(z0)))))))))))))))))))) -> 1(0(2(0(4(3(4(3(0(3(2(2(4(0(2(1(2(2(4(2(z0))))))))))))))))))))
   4(c_4(c_0(c_3(c_0(c_4(c_2(c_4(c_2(c_3(c_0(c_2(c_2(c_0(c_4(c_3(c_3(c_4(c_2(c_2(z0)))))))))))))))))))) -> 2(3(3(1(0(2(2(3(1(4(0(0(1(2(2(0(4(4(2(2(z0))))))))))))))))))))
   4(c_0(c_0(c_0(c_0(c_4(c_2(c_1(c_1(c_1(c_1(c_3(c_2(c_4(c_0(c_0(c_3(c_2(c_4(c_1(z0)))))))))))))))))))) -> 2(1(2(2(0(2(4(3(1(0(4(1(4(0(3(4(1(3(4(4(z0))))))))))))))))))))
   4(c_4(c_2(c_2(c_0(c_0(c_3(c_0(c_3(c_1(c_2(c_3(c_3(c_1(c_2(c_2(c_2(c_4(c_4(c_4(z0)))))))))))))))))))) -> 4(2(3(0(2(2(0(2(2(4(3(1(1(4(4(2(4(2(3(3(z0))))))))))))))))))))
   4(c_2(c_3(c_0(c_2(c_2(c_4(c_0(c_0(c_3(c_1(c_2(c_0(c_4(c_2(c_0(c_2(c_3(c_3(c_0(z0)))))))))))))))))))) -> 2(2(2(2(4(0(3(0(4(1(2(2(1(3(3(2(0(3(1(0(z0))))))))))))))))))))
   4(c_1(c_1(c_1(c_4(c_2(c_4(c_2(c_0(c_2(c_3(c_3(c_1(c_3(c_0(c_2(c_2(c_0(c_0(c_3(z0)))))))))))))))))))) -> 0(4(2(1(2(2(2(0(4(2(3(3(0(2(1(4(0(1(4(2(z0))))))))))))))))))))
   4(c_0(c_2(c_2(c_4(c_3(c_1(c_3(c_4(c_0(c_0(c_0(c_2(c_2(c_2(c_3(c_0(c_4(c_2(c_4(z0)))))))))))))))))))) -> 2(1(3(3(4(4(1(0(3(2(2(3(0(0(4(3(3(4(2(2(z0))))))))))))))))))))
   4(c_3(c_3(c_3(c_0(c_2(c_1(c_2(c_2(c_3(c_2(c_0(c_1(c_1(c_4(c_1(c_3(c_4(c_2(c_4(z0)))))))))))))))))))) -> 3(4(1(3(3(2(1(2(1(1(0(2(2(0(0(1(1(2(3(2(z0))))))))))))))))))))
   4(c_4(c_4(c_1(c_3(c_3(c_4(c_4(c_2(c_2(c_0(c_1(c_0(c_2(c_4(c_3(c_2(c_2(c_0(c_2(z0)))))))))))))))))))) -> 4(3(2(3(2(2(0(0(1(3(4(2(2(2(4(4(1(2(0(2(z0))))))))))))))))))))
   4(c_0(c_4(c_2(c_2(c_3(c_3(c_2(c_2(c_1(c_2(c_1(c_0(c_1(c_0(c_3(c_2(c_1(c_2(c_0(z0)))))))))))))))))))) -> 1(1(2(2(0(0(4(4(2(3(3(3(2(2(2(0(3(0(0(2(z0))))))))))))))))))))
Tuples:
   ENCARG(cons_4(z0)) -> c4(4'(encArg(z0)), ENCARG(z0))
   0'(c_1(c_4(c_2(c_2(c_0(c_3(c_2(c_0(c_4(c_1(c_3(c_2(c_0(c_0(c_3(c_2(c_3(c_0(c_2(z0)))))))))))))))))))) -> c11(2'(4(2(1(2(2(3(0(2(0(1(2(2(0(1(2(0(0(4(2(z0)))))))))))))))))))), 4'(2(1(2(2(3(0(2(0(1(2(2(0(1(2(0(0(4(2(z0))))))))))))))))))), 2'(1(2(2(3(0(2(0(1(2(2(0(1(2(0(0(4(2(z0)))))))))))))))))), 1'(2(2(3(0(2(0(1(2(2(0(1(2(0(0(4(2(z0))))))))))))))))), 2'(2(3(0(2(0(1(2(2(0(1(2(0(0(4(2(z0)))))))))))))))), 2'(3(0(2(0(1(2(2(0(1(2(0(0(4(2(z0))))))))))))))), 3'(0(2(0(1(2(2(0(1(2(0(0(4(2(z0)))))))))))))), 0'(2(0(1(2(2(0(1(2(0(0(4(2(z0))))))))))))), 2'(0(1(2(2(0(1(2(0(0(4(2(z0)))))))))))), 0'(1(2(2(0(1(2(0(0(4(2(z0))))))))))), 1'(2(2(0(1(2(0(0(4(2(z0)))))))))), 2'(2(0(1(2(0(0(4(2(z0))))))))), 2'(0(1(2(0(0(4(2(z0)))))))), 0'(1(2(0(0(4(2(z0))))))), 1'(2(0(0(4(2(z0)))))), 2'(0(0(4(2(z0))))), 0'(0(4(2(z0)))), 0'(4(2(z0))), 4'(2(z0)), 2'(z0))
   0'(c_0(c_2(c_1(c_0(c_3(c_1(c_3(c_1(c_3(c_3(c_3(c_2(c_4(c_0(c_0(c_1(c_2(c_0(c_4(z0)))))))))))))))))))) -> c12(4'(4(1(4(4(3(2(1(1(0(2(2(1(2(1(0(3(4(2(2(z0)))))))))))))))))))), 4'(1(4(4(3(2(1(1(0(2(2(1(2(1(0(3(4(2(2(z0))))))))))))))))))), 1'(4(4(3(2(1(1(0(2(2(1(2(1(0(3(4(2(2(z0)))))))))))))))))), 4'(4(3(2(1(1(0(2(2(1(2(1(0(3(4(2(2(z0))))))))))))))))), 4'(3(2(1(1(0(2(2(1(2(1(0(3(4(2(2(z0)))))))))))))))), 3'(2(1(1(0(2(2(1(2(1(0(3(4(2(2(z0))))))))))))))), 2'(1(1(0(2(2(1(2(1(0(3(4(2(2(z0)))))))))))))), 1'(1(0(2(2(1(2(1(0(3(4(2(2(z0))))))))))))), 1'(0(2(2(1(2(1(0(3(4(2(2(z0)))))))))))), 0'(2(2(1(2(1(0(3(4(2(2(z0))))))))))), 2'(2(1(2(1(0(3(4(2(2(z0)))))))))), 2'(1(2(1(0(3(4(2(2(z0))))))))), 1'(2(1(0(3(4(2(2(z0)))))))), 2'(1(0(3(4(2(2(z0))))))), 1'(0(3(4(2(2(z0)))))), 0'(3(4(2(2(z0))))), 3'(4(2(2(z0)))), 4'(2(2(z0))), 2'(2(z0)), 2'(z0))
   0'(c_3(c_2(c_0(c_4(c_2(c_0(c_1(c_1(c_3(c_2(c_3(c_4(c_4(c_1(c_2(c_4(c_2(c_4(c_2(z0)))))))))))))))))))) -> c13(2'(2(4(3(4(2(3(4(1(2(1(0(0(2(0(4(1(4(2(2(z0)))))))))))))))))))), 2'(4(3(4(2(3(4(1(2(1(0(0(2(0(4(1(4(2(2(z0))))))))))))))))))), 4'(3(4(2(3(4(1(2(1(0(0(2(0(4(1(4(2(2(z0)))))))))))))))))), 3'(4(2(3(4(1(2(1(0(0(2(0(4(1(4(2(2(z0))))))))))))))))), 4'(2(3(4(1(2(1(0(0(2(0(4(1(4(2(2(z0)))))))))))))))), 2'(3(4(1(2(1(0(0(2(0(4(1(4(2(2(z0))))))))))))))), 3'(4(1(2(1(0(0(2(0(4(1(4(2(2(z0)))))))))))))), 4'(1(2(1(0(0(2(0(4(1(4(2(2(z0))))))))))))), 1'(2(1(0(0(2(0(4(1(4(2(2(z0)))))))))))), 2'(1(0(0(2(0(4(1(4(2(2(z0))))))))))), 1'(0(0(2(0(4(1(4(2(2(z0)))))))))), 0'(0(2(0(4(1(4(2(2(z0))))))))), 0'(2(0(4(1(4(2(2(z0)))))))), 2'(0(4(1(4(2(2(z0))))))), 0'(4(1(4(2(2(z0)))))), 4'(1(4(2(2(z0))))), 1'(4(2(2(z0)))), 4'(2(2(z0))), 2'(2(z0)), 2'(z0))
   0'(c_1(c_4(c_3(c_2(c_3(c_0(c_1(c_2(c_4(c_0(c_3(c_4(c_2(c_0(c_0(c_3(c_2(c_4(c_2(z0)))))))))))))))))))) -> c14(2'(1(3(0(0(1(4(3(1(3(2(2(2(1(3(0(2(0(0(2(z0)))))))))))))))))))), 1'(3(0(0(1(4(3(1(3(2(2(2(1(3(0(2(0(0(2(z0))))))))))))))))))), 3'(0(0(1(4(3(1(3(2(2(2(1(3(0(2(0(0(2(z0)))))))))))))))))), 0'(0(1(4(3(1(3(2(2(2(1(3(0(2(0(0(2(z0))))))))))))))))), 0'(1(4(3(1(3(2(2(2(1(3(0(2(0(0(2(z0)))))))))))))))), 1'(4(3(1(3(2(2(2(1(3(0(2(0(0(2(z0))))))))))))))), 4'(3(1(3(2(2(2(1(3(0(2(0(0(2(z0)))))))))))))), 3'(1(3(2(2(2(1(3(0(2(0(0(2(z0))))))))))))), 1'(3(2(2(2(1(3(0(2(0(0(2(z0)))))))))))), 3'(2(2(2(1(3(0(2(0(0(2(z0))))))))))), 2'(2(2(1(3(0(2(0(0(2(z0)))))))))), 2'(2(1(3(0(2(0(0(2(z0))))))))), 2'(1(3(0(2(0(0(2(z0)))))))), 1'(3(0(2(0(0(2(z0))))))), 3'(0(2(0(0(2(z0)))))), 0'(2(0(0(2(z0))))), 2'(0(0(2(z0)))), 0'(0(2(z0))), 0'(2(z0)), 2'(z0))
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   4'(c_4(c_0(c_3(c_0(c_4(c_2(c_4(c_2(c_3(c_0(c_2(c_2(c_0(c_4(c_3(c_3(c_4(c_2(c_2(z0)))))))))))))))))))) -> c105(2'(3(3(1(0(2(2(3(1(4(0(0(1(2(2(0(4(4(2(2(z0)))))))))))))))))))), 3'(3(1(0(2(2(3(1(4(0(0(1(2(2(0(4(4(2(2(z0))))))))))))))))))), 3'(1(0(2(2(3(1(4(0(0(1(2(2(0(4(4(2(2(z0)))))))))))))))))), 1'(0(2(2(3(1(4(0(0(1(2(2(0(4(4(2(2(z0))))))))))))))))), 0'(2(2(3(1(4(0(0(1(2(2(0(4(4(2(2(z0)))))))))))))))), 2'(2(3(1(4(0(0(1(2(2(0(4(4(2(2(z0))))))))))))))), 2'(3(1(4(0(0(1(2(2(0(4(4(2(2(z0)))))))))))))), 3'(1(4(0(0(1(2(2(0(4(4(2(2(z0))))))))))))), 1'(4(0(0(1(2(2(0(4(4(2(2(z0)))))))))))), 4'(0(0(1(2(2(0(4(4(2(2(z0))))))))))), 0'(0(1(2(2(0(4(4(2(2(z0)))))))))), 0'(1(2(2(0(4(4(2(2(z0))))))))), 1'(2(2(0(4(4(2(2(z0)))))))), 2'(2(0(4(4(2(2(z0))))))), 2'(0(4(4(2(2(z0)))))), 0'(4(4(2(2(z0))))), 4'(4(2(2(z0)))), 4'(2(2(z0))), 2'(2(z0)), 2'(z0))
   4'(c_0(c_0(c_0(c_0(c_4(c_2(c_1(c_1(c_1(c_1(c_3(c_2(c_4(c_0(c_0(c_3(c_2(c_4(c_1(z0)))))))))))))))))))) -> c106(2'(1(2(2(0(2(4(3(1(0(4(1(4(0(3(4(1(3(4(4(z0)))))))))))))))))))), 1'(2(2(0(2(4(3(1(0(4(1(4(0(3(4(1(3(4(4(z0))))))))))))))))))), 2'(2(0(2(4(3(1(0(4(1(4(0(3(4(1(3(4(4(z0)))))))))))))))))), 2'(0(2(4(3(1(0(4(1(4(0(3(4(1(3(4(4(z0))))))))))))))))), 0'(2(4(3(1(0(4(1(4(0(3(4(1(3(4(4(z0)))))))))))))))), 2'(4(3(1(0(4(1(4(0(3(4(1(3(4(4(z0))))))))))))))), 4'(3(1(0(4(1(4(0(3(4(1(3(4(4(z0)))))))))))))), 3'(1(0(4(1(4(0(3(4(1(3(4(4(z0))))))))))))), 1'(0(4(1(4(0(3(4(1(3(4(4(z0)))))))))))), 0'(4(1(4(0(3(4(1(3(4(4(z0))))))))))), 4'(1(4(0(3(4(1(3(4(4(z0)))))))))), 1'(4(0(3(4(1(3(4(4(z0))))))))), 4'(0(3(4(1(3(4(4(z0)))))))), 0'(3(4(1(3(4(4(z0))))))), 3'(4(1(3(4(4(z0)))))), 4'(1(3(4(4(z0))))), 1'(3(4(4(z0)))), 3'(4(4(z0))), 4'(4(z0)), 4'(z0))
   4'(c_4(c_2(c_2(c_0(c_0(c_3(c_0(c_3(c_1(c_2(c_3(c_3(c_1(c_2(c_2(c_2(c_4(c_4(c_4(z0)))))))))))))))))))) -> c107(4'(2(3(0(2(2(0(2(2(4(3(1(1(4(4(2(4(2(3(3(z0)))))))))))))))))))), 2'(3(0(2(2(0(2(2(4(3(1(1(4(4(2(4(2(3(3(z0))))))))))))))))))), 3'(0(2(2(0(2(2(4(3(1(1(4(4(2(4(2(3(3(z0)))))))))))))))))), 0'(2(2(0(2(2(4(3(1(1(4(4(2(4(2(3(3(z0))))))))))))))))), 2'(2(0(2(2(4(3(1(1(4(4(2(4(2(3(3(z0)))))))))))))))), 2'(0(2(2(4(3(1(1(4(4(2(4(2(3(3(z0))))))))))))))), 0'(2(2(4(3(1(1(4(4(2(4(2(3(3(z0)))))))))))))), 2'(2(4(3(1(1(4(4(2(4(2(3(3(z0))))))))))))), 2'(4(3(1(1(4(4(2(4(2(3(3(z0)))))))))))), 4'(3(1(1(4(4(2(4(2(3(3(z0))))))))))), 3'(1(1(4(4(2(4(2(3(3(z0)))))))))), 1'(1(4(4(2(4(2(3(3(z0))))))))), 1'(4(4(2(4(2(3(3(z0)))))))), 4'(4(2(4(2(3(3(z0))))))), 4'(2(4(2(3(3(z0)))))), 2'(4(2(3(3(z0))))), 4'(2(3(3(z0)))), 2'(3(3(z0))), 3'(3(z0)), 3'(z0))
   4'(c_2(c_3(c_0(c_2(c_2(c_4(c_0(c_0(c_3(c_1(c_2(c_0(c_4(c_2(c_0(c_2(c_3(c_3(c_0(z0)))))))))))))))))))) -> c108(2'(2(2(2(4(0(3(0(4(1(2(2(1(3(3(2(0(3(1(0(z0)))))))))))))))))))), 2'(2(2(4(0(3(0(4(1(2(2(1(3(3(2(0(3(1(0(z0))))))))))))))))))), 2'(2(4(0(3(0(4(1(2(2(1(3(3(2(0(3(1(0(z0)))))))))))))))))), 2'(4(0(3(0(4(1(2(2(1(3(3(2(0(3(1(0(z0))))))))))))))))), 4'(0(3(0(4(1(2(2(1(3(3(2(0(3(1(0(z0)))))))))))))))), 0'(3(0(4(1(2(2(1(3(3(2(0(3(1(0(z0))))))))))))))), 3'(0(4(1(2(2(1(3(3(2(0(3(1(0(z0)))))))))))))), 0'(4(1(2(2(1(3(3(2(0(3(1(0(z0))))))))))))), 4'(1(2(2(1(3(3(2(0(3(1(0(z0)))))))))))), 1'(2(2(1(3(3(2(0(3(1(0(z0))))))))))), 2'(2(1(3(3(2(0(3(1(0(z0)))))))))), 2'(1(3(3(2(0(3(1(0(z0))))))))), 1'(3(3(2(0(3(1(0(z0)))))))), 3'(3(2(0(3(1(0(z0))))))), 3'(2(0(3(1(0(z0)))))), 2'(0(3(1(0(z0))))), 0'(3(1(0(z0)))), 3'(1(0(z0))), 1'(0(z0)), 0'(z0))
   4'(c_1(c_1(c_1(c_4(c_2(c_4(c_2(c_0(c_2(c_3(c_3(c_1(c_3(c_0(c_2(c_2(c_0(c_0(c_3(z0)))))))))))))))))))) -> c109(0'(4(2(1(2(2(2(0(4(2(3(3(0(2(1(4(0(1(4(2(z0)))))))))))))))))))), 4'(2(1(2(2(2(0(4(2(3(3(0(2(1(4(0(1(4(2(z0))))))))))))))))))), 2'(1(2(2(2(0(4(2(3(3(0(2(1(4(0(1(4(2(z0)))))))))))))))))), 1'(2(2(2(0(4(2(3(3(0(2(1(4(0(1(4(2(z0))))))))))))))))), 2'(2(2(0(4(2(3(3(0(2(1(4(0(1(4(2(z0)))))))))))))))), 2'(2(0(4(2(3(3(0(2(1(4(0(1(4(2(z0))))))))))))))), 2'(0(4(2(3(3(0(2(1(4(0(1(4(2(z0)))))))))))))), 0'(4(2(3(3(0(2(1(4(0(1(4(2(z0))))))))))))), 4'(2(3(3(0(2(1(4(0(1(4(2(z0)))))))))))), 2'(3(3(0(2(1(4(0(1(4(2(z0))))))))))), 3'(3(0(2(1(4(0(1(4(2(z0)))))))))), 3'(0(2(1(4(0(1(4(2(z0))))))))), 0'(2(1(4(0(1(4(2(z0)))))))), 2'(1(4(0(1(4(2(z0))))))), 1'(4(0(1(4(2(z0)))))), 4'(0(1(4(2(z0))))), 0'(1(4(2(z0)))), 1'(4(2(z0))), 4'(2(z0)), 2'(z0))
   4'(c_0(c_2(c_2(c_4(c_3(c_1(c_3(c_4(c_0(c_0(c_0(c_2(c_2(c_2(c_3(c_0(c_4(c_2(c_4(z0)))))))))))))))))))) -> c110(2'(1(3(3(4(4(1(0(3(2(2(3(0(0(4(3(3(4(2(2(z0)))))))))))))))))))), 1'(3(3(4(4(1(0(3(2(2(3(0(0(4(3(3(4(2(2(z0))))))))))))))))))), 3'(3(4(4(1(0(3(2(2(3(0(0(4(3(3(4(2(2(z0)))))))))))))))))), 3'(4(4(1(0(3(2(2(3(0(0(4(3(3(4(2(2(z0))))))))))))))))), 4'(4(1(0(3(2(2(3(0(0(4(3(3(4(2(2(z0)))))))))))))))), 4'(1(0(3(2(2(3(0(0(4(3(3(4(2(2(z0))))))))))))))), 1'(0(3(2(2(3(0(0(4(3(3(4(2(2(z0)))))))))))))), 0'(3(2(2(3(0(0(4(3(3(4(2(2(z0))))))))))))), 3'(2(2(3(0(0(4(3(3(4(2(2(z0)))))))))))), 2'(2(3(0(0(4(3(3(4(2(2(z0))))))))))), 2'(3(0(0(4(3(3(4(2(2(z0)))))))))), 3'(0(0(4(3(3(4(2(2(z0))))))))), 0'(0(4(3(3(4(2(2(z0)))))))), 0'(4(3(3(4(2(2(z0))))))), 4'(3(3(4(2(2(z0)))))), 3'(3(4(2(2(z0))))), 3'(4(2(2(z0)))), 4'(2(2(z0))), 2'(2(z0)), 2'(z0))
   4'(c_3(c_3(c_3(c_0(c_2(c_1(c_2(c_2(c_3(c_2(c_0(c_1(c_1(c_4(c_1(c_3(c_4(c_2(c_4(z0)))))))))))))))))))) -> c111(3'(4(1(3(3(2(1(2(1(1(0(2(2(0(0(1(1(2(3(2(z0)))))))))))))))))))), 4'(1(3(3(2(1(2(1(1(0(2(2(0(0(1(1(2(3(2(z0))))))))))))))))))), 1'(3(3(2(1(2(1(1(0(2(2(0(0(1(1(2(3(2(z0)))))))))))))))))), 3'(3(2(1(2(1(1(0(2(2(0(0(1(1(2(3(2(z0))))))))))))))))), 3'(2(1(2(1(1(0(2(2(0(0(1(1(2(3(2(z0)))))))))))))))), 2'(1(2(1(1(0(2(2(0(0(1(1(2(3(2(z0))))))))))))))), 1'(2(1(1(0(2(2(0(0(1(1(2(3(2(z0)))))))))))))), 2'(1(1(0(2(2(0(0(1(1(2(3(2(z0))))))))))))), 1'(1(0(2(2(0(0(1(1(2(3(2(z0)))))))))))), 1'(0(2(2(0(0(1(1(2(3(2(z0))))))))))), 0'(2(2(0(0(1(1(2(3(2(z0)))))))))), 2'(2(0(0(1(1(2(3(2(z0))))))))), 2'(0(0(1(1(2(3(2(z0)))))))), 0'(0(1(1(2(3(2(z0))))))), 0'(1(1(2(3(2(z0)))))), 1'(1(2(3(2(z0))))), 1'(2(3(2(z0)))), 2'(3(2(z0))), 3'(2(z0)), 2'(z0))
   4'(c_4(c_4(c_1(c_3(c_3(c_4(c_4(c_2(c_2(c_0(c_1(c_0(c_2(c_4(c_3(c_2(c_2(c_0(c_2(z0)))))))))))))))))))) -> c112(4'(3(2(3(2(2(0(0(1(3(4(2(2(2(4(4(1(2(0(2(z0)))))))))))))))))))), 3'(2(3(2(2(0(0(1(3(4(2(2(2(4(4(1(2(0(2(z0))))))))))))))))))), 2'(3(2(2(0(0(1(3(4(2(2(2(4(4(1(2(0(2(z0)))))))))))))))))), 3'(2(2(0(0(1(3(4(2(2(2(4(4(1(2(0(2(z0))))))))))))))))), 2'(2(0(0(1(3(4(2(2(2(4(4(1(2(0(2(z0)))))))))))))))), 2'(0(0(1(3(4(2(2(2(4(4(1(2(0(2(z0))))))))))))))), 0'(0(1(3(4(2(2(2(4(4(1(2(0(2(z0)))))))))))))), 0'(1(3(4(2(2(2(4(4(1(2(0(2(z0))))))))))))), 1'(3(4(2(2(2(4(4(1(2(0(2(z0)))))))))))), 3'(4(2(2(2(4(4(1(2(0(2(z0))))))))))), 4'(2(2(2(4(4(1(2(0(2(z0)))))))))), 2'(2(2(4(4(1(2(0(2(z0))))))))), 2'(2(4(4(1(2(0(2(z0)))))))), 2'(4(4(1(2(0(2(z0))))))), 4'(4(1(2(0(2(z0)))))), 4'(1(2(0(2(z0))))), 1'(2(0(2(z0)))), 2'(0(2(z0))), 0'(2(z0)), 2'(z0))
   4'(c_0(c_4(c_2(c_2(c_3(c_3(c_2(c_2(c_1(c_2(c_1(c_0(c_1(c_0(c_3(c_2(c_1(c_2(c_0(z0)))))))))))))))))))) -> c113(1'(1(2(2(0(0(4(4(2(3(3(3(2(2(2(0(3(0(0(2(z0)))))))))))))))))))), 1'(2(2(0(0(4(4(2(3(3(3(2(2(2(0(3(0(0(2(z0))))))))))))))))))), 2'(2(0(0(4(4(2(3(3(3(2(2(2(0(3(0(0(2(z0)))))))))))))))))), 2'(0(0(4(4(2(3(3(3(2(2(2(0(3(0(0(2(z0))))))))))))))))), 0'(0(4(4(2(3(3(3(2(2(2(0(3(0(0(2(z0)))))))))))))))), 0'(4(4(2(3(3(3(2(2(2(0(3(0(0(2(z0))))))))))))))), 4'(4(2(3(3(3(2(2(2(0(3(0(0(2(z0)))))))))))))), 4'(2(3(3(3(2(2(2(0(3(0(0(2(z0))))))))))))), 2'(3(3(3(2(2(2(0(3(0(0(2(z0)))))))))))), 3'(3(3(2(2(2(0(3(0(0(2(z0))))))))))), 3'(3(2(2(2(0(3(0(0(2(z0)))))))))), 3'(2(2(2(0(3(0(0(2(z0))))))))), 2'(2(2(0(3(0(0(2(z0)))))))), 2'(2(0(3(0(0(2(z0))))))), 2'(0(3(0(0(2(z0)))))), 0'(3(0(0(2(z0))))), 3'(0(0(2(z0)))), 0'(0(2(z0))), 0'(2(z0)), 2'(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_4(c_0(c_3(c_0(c_4(c_2(c_4(c_2(c_3(c_0(c_2(c_2(c_0(c_4(c_3(c_3(c_4(c_2(c_2(z0)))))))))))))))))))) -> c105(2'(3(3(1(0(2(2(3(1(4(0(0(1(2(2(0(4(4(2(2(z0)))))))))))))))))))), 3'(3(1(0(2(2(3(1(4(0(0(1(2(2(0(4(4(2(2(z0))))))))))))))))))), 3'(1(0(2(2(3(1(4(0(0(1(2(2(0(4(4(2(2(z0)))))))))))))))))), 1'(0(2(2(3(1(4(0(0(1(2(2(0(4(4(2(2(z0))))))))))))))))), 0'(2(2(3(1(4(0(0(1(2(2(0(4(4(2(2(z0)))))))))))))))), 2'(2(3(1(4(0(0(1(2(2(0(4(4(2(2(z0))))))))))))))), 2'(3(1(4(0(0(1(2(2(0(4(4(2(2(z0)))))))))))))), 3'(1(4(0(0(1(2(2(0(4(4(2(2(z0))))))))))))), 1'(4(0(0(1(2(2(0(4(4(2(2(z0)))))))))))), 4'(0(0(1(2(2(0(4(4(2(2(z0))))))))))), 0'(0(1(2(2(0(4(4(2(2(z0)))))))))), 0'(1(2(2(0(4(4(2(2(z0))))))))), 1'(2(2(0(4(4(2(2(z0)))))))), 2'(2(0(4(4(2(2(z0))))))), 2'(0(4(4(2(2(z0)))))), 0'(4(4(2(2(z0))))), 4'(4(2(2(z0)))), 4'(2(2(z0))), 2'(2(z0)), 2'(z0))
   4'(c_0(c_0(c_0(c_0(c_4(c_2(c_1(c_1(c_1(c_1(c_3(c_2(c_4(c_0(c_0(c_3(c_2(c_4(c_1(z0)))))))))))))))))))) -> c106(2'(1(2(2(0(2(4(3(1(0(4(1(4(0(3(4(1(3(4(4(z0)))))))))))))))))))), 1'(2(2(0(2(4(3(1(0(4(1(4(0(3(4(1(3(4(4(z0))))))))))))))))))), 2'(2(0(2(4(3(1(0(4(1(4(0(3(4(1(3(4(4(z0)))))))))))))))))), 2'(0(2(4(3(1(0(4(1(4(0(3(4(1(3(4(4(z0))))))))))))))))), 0'(2(4(3(1(0(4(1(4(0(3(4(1(3(4(4(z0)))))))))))))))), 2'(4(3(1(0(4(1(4(0(3(4(1(3(4(4(z0))))))))))))))), 4'(3(1(0(4(1(4(0(3(4(1(3(4(4(z0)))))))))))))), 3'(1(0(4(1(4(0(3(4(1(3(4(4(z0))))))))))))), 1'(0(4(1(4(0(3(4(1(3(4(4(z0)))))))))))), 0'(4(1(4(0(3(4(1(3(4(4(z0))))))))))), 4'(1(4(0(3(4(1(3(4(4(z0)))))))))), 1'(4(0(3(4(1(3(4(4(z0))))))))), 4'(0(3(4(1(3(4(4(z0)))))))), 0'(3(4(1(3(4(4(z0))))))), 3'(4(1(3(4(4(z0)))))), 4'(1(3(4(4(z0))))), 1'(3(4(4(z0)))), 3'(4(4(z0))), 4'(4(z0)), 4'(z0))
   4'(c_4(c_2(c_2(c_0(c_0(c_3(c_0(c_3(c_1(c_2(c_3(c_3(c_1(c_2(c_2(c_2(c_4(c_4(c_4(z0)))))))))))))))))))) -> c107(4'(2(3(0(2(2(0(2(2(4(3(1(1(4(4(2(4(2(3(3(z0)))))))))))))))))))), 2'(3(0(2(2(0(2(2(4(3(1(1(4(4(2(4(2(3(3(z0))))))))))))))))))), 3'(0(2(2(0(2(2(4(3(1(1(4(4(2(4(2(3(3(z0)))))))))))))))))), 0'(2(2(0(2(2(4(3(1(1(4(4(2(4(2(3(3(z0))))))))))))))))), 2'(2(0(2(2(4(3(1(1(4(4(2(4(2(3(3(z0)))))))))))))))), 2'(0(2(2(4(3(1(1(4(4(2(4(2(3(3(z0))))))))))))))), 0'(2(2(4(3(1(1(4(4(2(4(2(3(3(z0)))))))))))))), 2'(2(4(3(1(1(4(4(2(4(2(3(3(z0))))))))))))), 2'(4(3(1(1(4(4(2(4(2(3(3(z0)))))))))))), 4'(3(1(1(4(4(2(4(2(3(3(z0))))))))))), 3'(1(1(4(4(2(4(2(3(3(z0)))))))))), 1'(1(4(4(2(4(2(3(3(z0))))))))), 1'(4(4(2(4(2(3(3(z0)))))))), 4'(4(2(4(2(3(3(z0))))))), 4'(2(4(2(3(3(z0)))))), 2'(4(2(3(3(z0))))), 4'(2(3(3(z0)))), 2'(3(3(z0))), 3'(3(z0)), 3'(z0))
   4'(c_2(c_3(c_0(c_2(c_2(c_4(c_0(c_0(c_3(c_1(c_2(c_0(c_4(c_2(c_0(c_2(c_3(c_3(c_0(z0)))))))))))))))))))) -> c108(2'(2(2(2(4(0(3(0(4(1(2(2(1(3(3(2(0(3(1(0(z0)))))))))))))))))))), 2'(2(2(4(0(3(0(4(1(2(2(1(3(3(2(0(3(1(0(z0))))))))))))))))))), 2'(2(4(0(3(0(4(1(2(2(1(3(3(2(0(3(1(0(z0)))))))))))))))))), 2'(4(0(3(0(4(1(2(2(1(3(3(2(0(3(1(0(z0))))))))))))))))), 4'(0(3(0(4(1(2(2(1(3(3(2(0(3(1(0(z0)))))))))))))))), 0'(3(0(4(1(2(2(1(3(3(2(0(3(1(0(z0))))))))))))))), 3'(0(4(1(2(2(1(3(3(2(0(3(1(0(z0)))))))))))))), 0'(4(1(2(2(1(3(3(2(0(3(1(0(z0))))))))))))), 4'(1(2(2(1(3(3(2(0(3(1(0(z0)))))))))))), 1'(2(2(1(3(3(2(0(3(1(0(z0))))))))))), 2'(2(1(3(3(2(0(3(1(0(z0)))))))))), 2'(1(3(3(2(0(3(1(0(z0))))))))), 1'(3(3(2(0(3(1(0(z0)))))))), 3'(3(2(0(3(1(0(z0))))))), 3'(2(0(3(1(0(z0)))))), 2'(0(3(1(0(z0))))), 0'(3(1(0(z0)))), 3'(1(0(z0))), 1'(0(z0)), 0'(z0))
   4'(c_1(c_1(c_1(c_4(c_2(c_4(c_2(c_0(c_2(c_3(c_3(c_1(c_3(c_0(c_2(c_2(c_0(c_0(c_3(z0)))))))))))))))))))) -> c109(0'(4(2(1(2(2(2(0(4(2(3(3(0(2(1(4(0(1(4(2(z0)))))))))))))))))))), 4'(2(1(2(2(2(0(4(2(3(3(0(2(1(4(0(1(4(2(z0))))))))))))))))))), 2'(1(2(2(2(0(4(2(3(3(0(2(1(4(0(1(4(2(z0)))))))))))))))))), 1'(2(2(2(0(4(2(3(3(0(2(1(4(0(1(4(2(z0))))))))))))))))), 2'(2(2(0(4(2(3(3(0(2(1(4(0(1(4(2(z0)))))))))))))))), 2'(2(0(4(2(3(3(0(2(1(4(0(1(4(2(z0))))))))))))))), 2'(0(4(2(3(3(0(2(1(4(0(1(4(2(z0)))))))))))))), 0'(4(2(3(3(0(2(1(4(0(1(4(2(z0))))))))))))), 4'(2(3(3(0(2(1(4(0(1(4(2(z0)))))))))))), 2'(3(3(0(2(1(4(0(1(4(2(z0))))))))))), 3'(3(0(2(1(4(0(1(4(2(z0)))))))))), 3'(0(2(1(4(0(1(4(2(z0))))))))), 0'(2(1(4(0(1(4(2(z0)))))))), 2'(1(4(0(1(4(2(z0))))))), 1'(4(0(1(4(2(z0)))))), 4'(0(1(4(2(z0))))), 0'(1(4(2(z0)))), 1'(4(2(z0))), 4'(2(z0)), 2'(z0))
   4'(c_0(c_2(c_2(c_4(c_3(c_1(c_3(c_4(c_0(c_0(c_0(c_2(c_2(c_2(c_3(c_0(c_4(c_2(c_4(z0)))))))))))))))))))) -> c110(2'(1(3(3(4(4(1(0(3(2(2(3(0(0(4(3(3(4(2(2(z0)))))))))))))))))))), 1'(3(3(4(4(1(0(3(2(2(3(0(0(4(3(3(4(2(2(z0))))))))))))))))))), 3'(3(4(4(1(0(3(2(2(3(0(0(4(3(3(4(2(2(z0)))))))))))))))))), 3'(4(4(1(0(3(2(2(3(0(0(4(3(3(4(2(2(z0))))))))))))))))), 4'(4(1(0(3(2(2(3(0(0(4(3(3(4(2(2(z0)))))))))))))))), 4'(1(0(3(2(2(3(0(0(4(3(3(4(2(2(z0))))))))))))))), 1'(0(3(2(2(3(0(0(4(3(3(4(2(2(z0)))))))))))))), 0'(3(2(2(3(0(0(4(3(3(4(2(2(z0))))))))))))), 3'(2(2(3(0(0(4(3(3(4(2(2(z0)))))))))))), 2'(2(3(0(0(4(3(3(4(2(2(z0))))))))))), 2'(3(0(0(4(3(3(4(2(2(z0)))))))))), 3'(0(0(4(3(3(4(2(2(z0))))))))), 0'(0(4(3(3(4(2(2(z0)))))))), 0'(4(3(3(4(2(2(z0))))))), 4'(3(3(4(2(2(z0)))))), 3'(3(4(2(2(z0))))), 3'(4(2(2(z0)))), 4'(2(2(z0))), 2'(2(z0)), 2'(z0))
   4'(c_3(c_3(c_3(c_0(c_2(c_1(c_2(c_2(c_3(c_2(c_0(c_1(c_1(c_4(c_1(c_3(c_4(c_2(c_4(z0)))))))))))))))))))) -> c111(3'(4(1(3(3(2(1(2(1(1(0(2(2(0(0(1(1(2(3(2(z0)))))))))))))))))))), 4'(1(3(3(2(1(2(1(1(0(2(2(0(0(1(1(2(3(2(z0))))))))))))))))))), 1'(3(3(2(1(2(1(1(0(2(2(0(0(1(1(2(3(2(z0)))))))))))))))))), 3'(3(2(1(2(1(1(0(2(2(0(0(1(1(2(3(2(z0))))))))))))))))), 3'(2(1(2(1(1(0(2(2(0(0(1(1(2(3(2(z0)))))))))))))))), 2'(1(2(1(1(0(2(2(0(0(1(1(2(3(2(z0))))))))))))))), 1'(2(1(1(0(2(2(0(0(1(1(2(3(2(z0)))))))))))))), 2'(1(1(0(2(2(0(0(1(1(2(3(2(z0))))))))))))), 1'(1(0(2(2(0(0(1(1(2(3(2(z0)))))))))))), 1'(0(2(2(0(0(1(1(2(3(2(z0))))))))))), 0'(2(2(0(0(1(1(2(3(2(z0)))))))))), 2'(2(0(0(1(1(2(3(2(z0))))))))), 2'(0(0(1(1(2(3(2(z0)))))))), 0'(0(1(1(2(3(2(z0))))))), 0'(1(1(2(3(2(z0)))))), 1'(1(2(3(2(z0))))), 1'(2(3(2(z0)))), 2'(3(2(z0))), 3'(2(z0)), 2'(z0))
   4'(c_4(c_4(c_1(c_3(c_3(c_4(c_4(c_2(c_2(c_0(c_1(c_0(c_2(c_4(c_3(c_2(c_2(c_0(c_2(z0)))))))))))))))))))) -> c112(4'(3(2(3(2(2(0(0(1(3(4(2(2(2(4(4(1(2(0(2(z0)))))))))))))))))))), 3'(2(3(2(2(0(0(1(3(4(2(2(2(4(4(1(2(0(2(z0))))))))))))))))))), 2'(3(2(2(0(0(1(3(4(2(2(2(4(4(1(2(0(2(z0)))))))))))))))))), 3'(2(2(0(0(1(3(4(2(2(2(4(4(1(2(0(2(z0))))))))))))))))), 2'(2(0(0(1(3(4(2(2(2(4(4(1(2(0(2(z0)))))))))))))))), 2'(0(0(1(3(4(2(2(2(4(4(1(2(0(2(z0))))))))))))))), 0'(0(1(3(4(2(2(2(4(4(1(2(0(2(z0)))))))))))))), 0'(1(3(4(2(2(2(4(4(1(2(0(2(z0))))))))))))), 1'(3(4(2(2(2(4(4(1(2(0(2(z0)))))))))))), 3'(4(2(2(2(4(4(1(2(0(2(z0))))))))))), 4'(2(2(2(4(4(1(2(0(2(z0)))))))))), 2'(2(2(4(4(1(2(0(2(z0))))))))), 2'(2(4(4(1(2(0(2(z0)))))))), 2'(4(4(1(2(0(2(z0))))))), 4'(4(1(2(0(2(z0)))))), 4'(1(2(0(2(z0))))), 1'(2(0(2(z0)))), 2'(0(2(z0))), 0'(2(z0)), 2'(z0))
   4'(c_0(c_4(c_2(c_2(c_3(c_3(c_2(c_2(c_1(c_2(c_1(c_0(c_1(c_0(c_3(c_2(c_1(c_2(c_0(z0)))))))))))))))))))) -> c113(1'(1(2(2(0(0(4(4(2(3(3(3(2(2(2(0(3(0(0(2(z0)))))))))))))))))))), 1'(2(2(0(0(4(4(2(3(3(3(2(2(2(0(3(0(0(2(z0))))))))))))))))))), 2'(2(0(0(4(4(2(3(3(3(2(2(2(0(3(0(0(2(z0)))))))))))))))))), 2'(0(0(4(4(2(3(3(3(2(2(2(0(3(0(0(2(z0))))))))))))))))), 0'(0(4(4(2(3(3(3(2(2(2(0(3(0(0(2(z0)))))))))))))))), 0'(4(4(2(3(3(3(2(2(2(0(3(0(0(2(z0))))))))))))))), 4'(4(2(3(3(3(2(2(2(0(3(0(0(2(z0)))))))))))))), 4'(2(3(3(3(2(2(2(0(3(0(0(2(z0))))))))))))), 2'(3(3(3(2(2(2(0(3(0(0(2(z0)))))))))))), 3'(3(3(2(2(2(0(3(0(0(2(z0))))))))))), 3'(3(2(2(2(0(3(0(0(2(z0)))))))))), 3'(2(2(2(0(3(0(0(2(z0))))))))), 2'(2(2(0(3(0(0(2(z0)))))))), 2'(2(0(3(0(0(2(z0))))))), 2'(0(3(0(0(2(z0)))))), 0'(3(0(0(2(z0))))), 3'(0(0(2(z0)))), 0'(0(2(z0))), 0'(2(z0)), 2'(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, c29_20, c30_20, c31_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, c64_20, c65_20, c66_20, c67_20, c68_20, c69_20, c70_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_20, c90_20, c91_20, c92_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