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


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


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# AProVE Commit ID: 794c25de1cacf0d048858bcd21c9a779e1221865 marcel 20200619 unpublished dirty


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

(0) DCpxTrs
(1) DerivationalComplexityToRuntimeComplexityProof [BOTH BOUNDS(ID, ID), 0 ms]
(2) CpxRelTRS
(3) SInnermostTerminationProof [BOTH CONCRETE BOUNDS(ID, ID), 116 ms]
(4) CpxRelTRS
(5) RelTrsToDecreasingLoopProblemProof [LOWER BOUND(ID), 6 ms]
(6) TRS for Loop Detection
(7) RenamingProof [BOTH BOUNDS(ID, ID), 6 ms]
(8) CpxRelTRS
    (9) TypeInferenceProof [BOTH BOUNDS(ID, ID), 15 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), 2833 ms]
    (18) CpxRelTRS
    (19) RelTrsToWeightedTrsProof [BOTH BOUNDS(ID, ID), 2 ms]
    (20) CpxWeightedTrs
        (21) CpxWeightedTrsRenamingProof [BOTH BOUNDS(ID, ID), 44 ms]
        (22) CpxWeightedTrs
        (23) TypeInferenceProof [BOTH BOUNDS(ID, ID), 0 ms]
        (24) CpxTypedWeightedTrs
        (25) CompletionProof [UPPER BOUND(ID), 9 ms]
        (26) CpxTypedWeightedCompleteTrs
            (27) NarrowingProof [BOTH BOUNDS(ID, ID), 2981 ms]
            (28) CpxTypedWeightedCompleteTrs
            (29) CpxTypedWeightedTrsToRntsProof [UPPER BOUND(ID), 67 ms]
            (30) CpxRNTS
            (31) SimplificationProof [BOTH BOUNDS(ID, ID), 19 ms]
            (32) CpxRNTS
        (33) CompletionProof [UPPER BOUND(ID), 9 ms]
        (34) CpxTypedWeightedCompleteTrs
            (35) CpxTypedWeightedTrsToRntsProof [UPPER BOUND(ID), 30 ms]
            (36) CpxRNTS
    (37) CpxTrsToCdtProof [UPPER BOUND(ID), 1647 ms]
    (38) CdtProblem
        (39) CdtLeafRemovalProof [BOTH BOUNDS(ID, ID), 0 ms]
        (40) CdtProblem
        (41) CdtGraphSplitRhsProof [BOTH BOUNDS(ID, ID), 26 ms]
        (42) CdtProblem
        (43) CdtLeafRemovalProof [ComplexityIfPolyImplication, 0 ms]
        (44) CdtProblem
        (45) CdtUsableRulesProof [BOTH BOUNDS(ID, ID), 13.5 s]
        (46) CdtProblem
        (47) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 4039 ms]
        (48) CdtProblem
        (49) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 4087 ms]
        (50) CdtProblem


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

(0)
Obligation:
The Derivational Complexity (full) of the given DCpxTrs could be proven to be BOUNDS(1, INF).


The TRS R consists of the following rules:

   0(0(0(0(1(0(1(2(2(3(3(4(1(2(3(2(3(3(2(2(x1)))))))))))))))))))) -> 0(3(1(0(2(1(0(4(2(4(0(0(1(1(4(2(3(1(0(2(x1))))))))))))))))))))
   0(1(1(1(0(4(1(0(1(2(1(0(1(4(1(1(2(4(4(2(x1)))))))))))))))))))) -> 4(4(1(2(4(0(4(1(0(1(4(2(2(2(3(1(1(4(0(2(x1))))))))))))))))))))
   0(1(1(1(1(2(4(4(0(3(4(4(0(2(0(4(1(1(2(1(x1)))))))))))))))))))) -> 3(1(4(3(2(4(3(3(4(0(0(2(0(3(1(0(1(0(1(2(x1))))))))))))))))))))
   0(1(2(0(4(0(2(0(3(0(2(2(3(2(0(4(3(0(1(2(x1)))))))))))))))))))) -> 1(3(0(2(1(0(0(2(2(0(4(1(2(2(2(3(2(4(2(1(x1))))))))))))))))))))
   0(1(2(2(0(3(1(1(3(2(1(1(1(1(3(4(2(3(0(2(x1)))))))))))))))))))) -> 4(2(4(3(3(2(3(2(4(1(0(2(3(1(4(2(1(4(3(2(x1))))))))))))))))))))
   0(1(3(1(1(2(3(2(4(3(4(1(1(2(3(1(0(4(2(2(x1)))))))))))))))))))) -> 2(2(0(1(1(3(2(0(1(0(2(2(0(4(1(4(2(2(4(2(x1))))))))))))))))))))
   0(1(3(2(3(1(0(0(0(3(3(2(3(3(2(1(0(2(1(2(x1)))))))))))))))))))) -> 0(0(3(4(0(2(2(4(0(4(2(1(3(4(1(3(2(0(2(1(x1))))))))))))))))))))
   0(1(3(3(3(3(0(1(1(2(0(0(4(4(4(3(1(0(0(2(x1)))))))))))))))))))) -> 2(0(2(4(0(2(3(4(2(0(1(0(0(3(4(3(4(0(3(2(x1))))))))))))))))))))
   0(2(0(0(0(4(0(3(1(2(2(4(4(3(3(2(2(2(3(2(x1)))))))))))))))))))) -> 3(1(2(2(4(0(2(3(1(3(4(0(4(1(3(2(3(1(2(1(x1))))))))))))))))))))
   0(2(0(1(2(1(1(0(2(2(0(0(3(4(4(3(1(2(2(1(x1)))))))))))))))))))) -> 3(0(2(2(0(1(4(2(3(3(0(3(0(2(0(2(4(2(0(2(x1))))))))))))))))))))
   0(2(0(2(2(1(3(2(2(0(2(0(0(2(1(0(4(3(3(2(x1)))))))))))))))))))) -> 0(3(3(0(0(4(2(3(0(0(3(1(2(4(2(4(0(0(4(2(x1))))))))))))))))))))
   0(2(1(1(3(3(4(4(0(4(3(3(3(0(0(4(1(2(1(1(x1)))))))))))))))))))) -> 2(2(1(4(4(2(4(3(0(2(3(4(3(0(0(2(2(2(0(2(x1))))))))))))))))))))
   0(2(2(3(4(2(3(2(3(0(1(3(1(3(2(2(2(1(1(2(x1)))))))))))))))))))) -> 4(0(3(2(4(0(1(1(0(2(0(3(0(1(2(3(0(1(2(2(x1))))))))))))))))))))
   0(3(1(0(1(1(2(3(3(1(4(3(3(3(2(1(4(0(2(2(x1)))))))))))))))))))) -> 0(4(4(1(1(4(2(1(0(1(4(2(2(0(0(1(0(1(2(1(x1))))))))))))))))))))
   0(3(3(4(1(4(2(3(2(3(0(4(2(3(3(2(2(2(2(1(x1)))))))))))))))))))) -> 0(4(2(4(4(3(0(0(0(3(3(2(4(4(4(0(0(2(3(2(x1))))))))))))))))))))
   0(3(4(0(2(0(1(2(3(1(0(4(4(3(1(4(1(3(0(2(x1)))))))))))))))))))) -> 4(0(4(4(3(3(0(0(3(4(3(4(0(1(4(1(1(4(3(2(x1))))))))))))))))))))
   0(3(4(3(2(0(1(1(0(2(3(3(2(1(3(1(1(2(3(2(x1)))))))))))))))))))) -> 1(2(2(4(2(4(1(3(1(3(3(0(3(3(0(0(4(3(2(2(x1))))))))))))))))))))
   0(4(0(2(0(1(2(1(4(3(1(4(3(3(1(0(3(3(1(2(x1)))))))))))))))))))) -> 2(1(0(2(2(4(0(1(4(2(3(4(0(1(2(0(2(4(4(2(x1))))))))))))))))))))
   0(4(2(0(0(4(2(3(2(3(4(3(4(4(3(3(2(0(2(2(x1)))))))))))))))))))) -> 4(0(4(4(2(2(1(1(4(3(4(2(0(2(3(1(2(0(1(2(x1))))))))))))))))))))
   0(4(3(2(4(4(3(4(1(3(3(2(3(1(0(1(2(1(2(2(x1)))))))))))))))))))) -> 1(1(4(0(4(1(1(0(0(1(2(4(0(3(2(4(2(0(3(2(x1))))))))))))))))))))
   0(4(4(0(4(3(0(2(1(2(3(2(2(0(2(0(0(2(2(1(x1)))))))))))))))))))) -> 0(2(1(4(0(2(2(2(1(1(4(2(4(0(3(1(2(0(1(2(x1))))))))))))))))))))
   1(0(2(1(3(2(3(1(3(3(4(1(3(2(2(0(1(2(3(2(x1)))))))))))))))))))) -> 3(3(4(0(4(0(1(0(4(0(1(1(4(4(1(3(3(2(0(2(x1))))))))))))))))))))
   1(0(3(0(0(0(2(3(3(0(4(4(4(0(3(1(1(1(2(1(x1)))))))))))))))))))) -> 0(3(2(2(4(3(3(1(0(0(3(3(1(0(3(3(4(4(2(2(x1))))))))))))))))))))
   1(0(3(4(4(4(4(4(1(3(0(1(2(0(2(0(1(1(3(2(x1)))))))))))))))))))) -> 0(1(3(2(1(3(4(1(4(2(4(0(2(4(2(3(0(0(2(1(x1))))))))))))))))))))
   1(0(4(1(4(1(2(2(0(0(0(4(0(1(1(2(3(3(3(2(x1)))))))))))))))))))) -> 2(2(2(2(4(0(2(3(1(0(2(2(1(4(0(4(1(1(1(2(x1))))))))))))))))))))
   1(1(0(3(4(3(2(3(2(3(4(3(2(1(4(4(2(3(0(2(x1)))))))))))))))))))) -> 0(3(0(3(4(0(0(1(0(2(1(2(4(0(3(0(3(0(2(2(x1))))))))))))))))))))
   1(1(2(3(0(3(4(2(1(2(4(0(3(2(3(4(4(4(3(2(x1)))))))))))))))))))) -> 3(4(2(1(1(1(4(4(0(0(0(3(0(4(1(4(3(2(4(2(x1))))))))))))))))))))
   1(1(3(4(0(1(4(2(0(3(4(4(0(0(3(0(1(2(3(2(x1)))))))))))))))))))) -> 3(0(4(1(1(4(0(4(1(2(1(4(2(0(4(4(3(3(2(2(x1))))))))))))))))))))
   1(2(0(4(1(4(3(0(0(0(3(2(4(4(1(3(0(2(3(2(x1)))))))))))))))))))) -> 1(3(2(2(0(3(2(0(0(2(4(0(1(4(2(0(2(0(1(2(x1))))))))))))))))))))
   1(2(2(1(0(3(2(4(4(1(4(0(0(0(3(1(3(3(2(1(x1)))))))))))))))))))) -> 1(4(0(0(3(1(2(0(0(3(0(1(4(4(3(2(4(2(1(1(x1))))))))))))))))))))
   1(2(3(4(2(4(2(3(2(0(2(1(0(2(2(0(4(2(0(2(x1)))))))))))))))))))) -> 1(1(1(4(0(4(4(0(0(0(2(1(3(4(0(2(4(0(0(2(x1))))))))))))))))))))
   1(2(4(4(4(3(1(0(0(2(0(0(4(0(4(4(3(1(0(2(x1)))))))))))))))))))) -> 1(2(4(3(0(1(1(0(0(2(0(1(1(3(2(1(4(1(0(2(x1))))))))))))))))))))
   1(3(0(1(3(2(0(4(0(2(0(4(2(0(4(0(2(4(0(2(x1)))))))))))))))))))) -> 4(3(0(3(2(2(1(3(4(0(1(0(1(2(0(1(1(4(4(2(x1))))))))))))))))))))
   1(3(3(1(0(0(1(1(3(2(3(0(0(0(1(1(1(1(0(2(x1)))))))))))))))))))) -> 1(3(0(4(1(1(4(3(4(2(4(4(3(3(3(2(0(2(2(1(x1))))))))))))))))))))
   1(4(0(2(3(0(0(4(4(1(0(0(1(0(2(2(1(1(3(2(x1)))))))))))))))))))) -> 4(2(4(1(4(0(3(0(4(3(0(3(3(1(3(0(2(1(2(1(x1))))))))))))))))))))
   1(4(1(3(1(1(0(0(0(0(4(3(0(0(2(0(2(1(1(1(x1)))))))))))))))))))) -> 2(1(4(2(0(0(3(3(4(3(0(2(4(1(0(2(4(4(2(1(x1))))))))))))))))))))
   2(0(0(1(2(3(2(3(0(1(2(4(2(2(1(0(0(3(2(1(x1)))))))))))))))))))) -> 2(4(0(1(1(2(3(0(0(4(3(0(1(0(4(2(4(3(4(2(x1))))))))))))))))))))
   2(0(1(1(0(0(4(2(3(1(0(2(3(0(3(4(0(3(3(2(x1)))))))))))))))))))) -> 3(4(1(3(2(0(3(0(4(1(2(4(0(4(4(1(3(2(0(2(x1))))))))))))))))))))
   2(0(1(2(0(1(0(1(0(4(3(1(4(4(4(0(2(3(3(2(x1)))))))))))))))))))) -> 4(1(0(0(1(3(2(0(2(4(1(0(4(0(2(0(3(0(2(2(x1))))))))))))))))))))
   2(0(1(2(0(1(3(2(2(0(4(3(2(2(4(3(0(1(2(1(x1)))))))))))))))))))) -> 0(2(2(4(1(4(4(3(1(1(2(4(3(1(2(0(1(2(1(2(x1))))))))))))))))))))
   2(0(2(1(3(3(4(0(1(1(2(0(3(1(3(0(1(2(1(2(x1)))))))))))))))))))) -> 2(2(2(0(1(1(4(3(2(0(2(3(3(3(1(1(2(2(4(2(x1))))))))))))))))))))
   2(0(4(3(4(0(2(1(3(2(0(3(2(0(1(0(4(4(2(2(x1)))))))))))))))))))) -> 4(0(3(2(4(0(1(1(2(4(0(4(4(0(4(2(3(2(2(2(x1))))))))))))))))))))
   2(0(4(4(0(3(3(2(4(0(1(4(2(4(4(4(2(2(2(2(x1)))))))))))))))))))) -> 0(2(2(0(1(0(4(3(0(2(4(2(2(4(3(3(1(3(1(2(x1))))))))))))))))))))
   2(0(4(4(2(1(3(3(3(2(0(0(2(3(3(1(4(2(3(2(x1)))))))))))))))))))) -> 0(0(2(1(2(1(2(0(2(4(1(4(1(3(0(1(2(0(3(2(x1))))))))))))))))))))
   2(1(0(1(0(4(2(1(1(1(3(0(4(2(2(0(2(3(2(2(x1)))))))))))))))))))) -> 3(2(0(3(1(3(1(2(1(2(1(1(1(3(1(1(4(1(3(2(x1))))))))))))))))))))
   2(1(0(3(1(4(4(0(4(3(0(4(3(3(4(1(2(3(4(2(x1)))))))))))))))))))) -> 1(4(1(4(4(2(2(0(2(3(1(0(1(3(0(0(2(0(2(1(x1))))))))))))))))))))
   2(1(2(0(3(1(4(2(3(0(1(1(4(4(2(0(4(3(2(1(x1)))))))))))))))))))) -> 1(2(3(4(0(1(4(3(1(1(1(4(1(4(0(0(2(1(4(2(x1))))))))))))))))))))
   2(1(2(3(3(2(2(1(2(3(3(2(0(4(3(4(1(0(1(2(x1)))))))))))))))))))) -> 3(4(1(4(0(2(0(1(2(0(4(4(1(0(2(4(1(1(1(2(x1))))))))))))))))))))
   2(1(2(3(4(4(0(2(3(2(0(3(2(4(4(4(2(4(2(2(x1)))))))))))))))))))) -> 1(1(3(3(1(3(3(2(2(1(4(1(2(2(4(1(2(2(3(2(x1))))))))))))))))))))
   2(1(3(4(1(3(3(4(2(0(0(1(0(1(2(0(1(0(4(2(x1)))))))))))))))))))) -> 2(1(1(2(1(1(0(1(4(0(1(3(2(1(2(4(0(1(2(2(x1))))))))))))))))))))
   2(2(1(0(1(1(2(0(2(2(0(2(2(1(3(0(4(4(1(2(x1)))))))))))))))))))) -> 1(2(1(2(4(0(2(1(2(0(3(1(1(2(2(4(4(3(1(2(x1))))))))))))))))))))
   2(2(1(2(3(3(2(0(3(0(2(0(4(2(4(1(2(3(0(2(x1)))))))))))))))))))) -> 0(4(1(0(2(2(1(0(3(3(4(2(1(4(1(2(1(4(1(2(x1))))))))))))))))))))
   2(2(2(1(4(3(0(3(2(4(0(4(0(4(1(0(4(2(2(1(x1)))))))))))))))))))) -> 1(1(4(2(4(4(2(1(2(0(3(2(1(4(3(1(3(2(4(2(x1))))))))))))))))))))
   2(3(2(0(0(1(0(3(3(1(4(1(3(0(0(3(2(3(4(2(x1)))))))))))))))))))) -> 1(2(4(4(0(1(1(4(4(4(2(2(4(4(3(2(0(3(4(2(x1))))))))))))))))))))
   2(3(4(2(2(3(3(4(3(2(0(2(1(0(2(1(4(1(3(2(x1)))))))))))))))))))) -> 1(4(0(4(1(3(1(1(1(1(3(0(1(0(4(1(4(2(1(1(x1))))))))))))))))))))
   2(4(0(3(4(1(1(4(0(2(2(2(3(4(4(3(3(3(0(2(x1)))))))))))))))))))) -> 0(1(0(0(1(1(4(3(3(0(4(2(4(1(1(3(2(2(2(2(x1))))))))))))))))))))
   2(4(0(4(3(1(2(1(2(2(3(0(1(0(1(3(1(3(3(2(x1)))))))))))))))))))) -> 0(2(4(4(1(4(1(4(2(2(2(4(3(3(3(1(1(0(1(2(x1))))))))))))))))))))
   2(4(2(0(3(2(2(4(4(3(0(1(0(3(2(3(2(2(4(2(x1)))))))))))))))))))) -> 3(0(4(0(2(4(1(0(3(2(3(0(0(2(4(2(4(1(0(2(x1))))))))))))))))))))
   2(4(4(0(2(4(2(2(3(1(0(2(0(0(1(1(4(2(2(1(x1)))))))))))))))))))) -> 0(2(4(1(4(4(0(2(4(1(1(4(1(3(3(0(3(2(1(2(x1))))))))))))))))))))
   3(0(1(2(3(0(1(2(2(2(0(2(3(3(3(4(3(3(2(1(x1)))))))))))))))))))) -> 0(2(3(1(3(1(0(1(2(1(1(1(1(3(3(4(4(0(3(2(x1))))))))))))))))))))
   3(0(2(3(3(2(0(2(0(1(2(4(3(3(1(4(4(0(2(1(x1)))))))))))))))))))) -> 2(0(2(1(1(1(3(3(0(4(2(4(3(0(1(1(1(4(1(2(x1))))))))))))))))))))
   3(0(3(0(0(0(2(0(1(2(2(4(0(1(2(0(3(2(2(2(x1)))))))))))))))))))) -> 4(4(2(4(4(2(4(1(4(4(2(0(3(2(1(4(4(2(4(2(x1))))))))))))))))))))
   3(0(4(3(2(3(3(2(3(0(1(0(1(0(1(3(1(4(2(1(x1)))))))))))))))))))) -> 4(1(3(2(1(4(1(0(1(3(3(1(4(4(0(4(2(1(1(2(x1))))))))))))))))))))
   3(1(0(2(3(2(2(4(3(0(2(0(4(2(1(0(2(1(1(1(x1)))))))))))))))))))) -> 1(4(0(1(0(4(1(1(3(4(3(2(4(4(3(2(1(1(2(2(x1))))))))))))))))))))
   3(1(1(1(3(3(0(1(3(4(4(2(2(3(1(3(3(4(1(2(x1)))))))))))))))))))) -> 1(4(1(1(2(1(1(3(4(1(4(2(0(0(2(2(3(2(2(2(x1))))))))))))))))))))
   3(1(1(2(0(3(2(0(4(0(0(4(3(4(3(1(1(2(1(1(x1)))))))))))))))))))) -> 4(2(0(1(2(4(3(4(4(3(3(3(1(1(3(0(4(3(4(2(x1))))))))))))))))))))
   3(1(1(2(4(3(1(2(3(0(1(1(1(2(2(3(1(1(3(2(x1)))))))))))))))))))) -> 4(0(0(1(3(0(1(1(2(4(2(4(3(4(1(4(0(0(0(2(x1))))))))))))))))))))
   3(1(3(2(2(4(1(0(3(1(3(0(2(0(0(0(3(3(2(1(x1)))))))))))))))))))) -> 1(3(0(2(1(3(2(1(4(2(2(2(3(4(4(0(2(4(3(2(x1))))))))))))))))))))
   3(2(0(1(4(3(0(2(0(2(2(3(0(1(4(2(1(1(1(2(x1)))))))))))))))))))) -> 0(3(1(2(2(2(4(0(3(0(0(3(2(4(4(2(4(3(2(1(x1))))))))))))))))))))
   3(2(0(3(4(3(1(1(3(2(0(3(0(0(0(1(4(2(4(1(x1)))))))))))))))))))) -> 3(3(2(0(2(4(3(0(0(3(3(0(1(2(4(1(0(0(2(1(x1))))))))))))))))))))
   3(2(1(0(4(1(2(2(0(3(4(3(2(3(4(1(4(0(1(2(x1)))))))))))))))))))) -> 0(2(4(3(3(2(4(3(3(3(1(2(2(3(4(3(4(3(4(2(x1))))))))))))))))))))
   3(2(1(1(1(4(2(4(0(3(1(3(0(2(3(0(4(0(3(2(x1)))))))))))))))))))) -> 3(0(3(0(4(3(2(2(1(1(4(4(4(3(0(2(4(2(2(2(x1))))))))))))))))))))
   3(2(3(1(0(1(4(2(4(3(1(0(4(1(4(3(3(1(0(2(x1)))))))))))))))))))) -> 0(0(1(2(2(0(4(4(4(1(0(2(4(1(4(4(0(1(1(2(x1))))))))))))))))))))
   3(2(3(3(3(4(1(2(1(2(1(2(1(3(1(1(0(1(4(2(x1)))))))))))))))))))) -> 3(0(1(0(0(4(4(4(4(2(4(4(4(3(0(0(2(1(4(2(x1))))))))))))))))))))
   3(2(4(3(2(2(0(2(3(4(0(1(0(4(3(0(3(0(4(2(x1)))))))))))))))))))) -> 0(1(2(0(4(2(3(1(4(0(1(1(0(0(1(1(0(1(1(2(x1))))))))))))))))))))
   3(3(0(2(0(0(1(3(0(2(2(2(4(0(3(1(1(0(0(2(x1)))))))))))))))))))) -> 4(0(2(1(3(2(4(0(1(4(1(1(0(2(0(0(2(2(4(2(x1))))))))))))))))))))
   3(3(0(4(4(2(4(0(4(0(4(2(0(2(2(2(4(0(3(2(x1)))))))))))))))))))) -> 0(1(0(1(1(1(4(4(0(1(3(2(2(4(1(4(3(4(2(2(x1))))))))))))))))))))
   3(3(3(1(3(4(3(0(3(1(3(2(2(4(0(3(4(2(0(2(x1)))))))))))))))))))) -> 4(0(4(1(0(2(4(3(4(2(3(2(3(3(3(0(1(0(4(2(x1))))))))))))))))))))
   3(3(3(2(1(1(3(3(4(2(4(3(2(2(0(3(0(4(2(2(x1)))))))))))))))))))) -> 1(3(4(2(4(4(4(3(2(4(4(0(3(3(4(0(4(2(2(1(x1))))))))))))))))))))
   3(3(3(4(1(1(4(2(3(0(3(4(4(1(2(3(4(1(4(2(x1)))))))))))))))))))) -> 0(2(4(3(1(2(3(4(1(2(0(1(1(3(3(4(1(0(1(2(x1))))))))))))))))))))
   3(4(0(2(2(1(1(0(3(3(1(3(2(2(2(1(1(2(0(2(x1)))))))))))))))))))) -> 3(0(2(3(4(2(0(2(1(4(0(3(3(2(4(1(2(4(1(2(x1))))))))))))))))))))
   3(4(2(2(4(4(0(3(1(4(1(0(4(0(1(0(2(1(0(2(x1)))))))))))))))))))) -> 0(2(4(1(2(0(3(0(2(3(4(1(1(4(0(3(3(2(4(2(x1))))))))))))))))))))
   3(4(4(2(1(1(4(3(4(3(0(3(3(3(2(2(0(3(1(2(x1)))))))))))))))))))) -> 2(4(0(3(2(3(1(4(3(2(2(2(0(1(0(2(3(2(3(2(x1))))))))))))))))))))
   4(0(1(3(3(2(4(3(3(2(0(0(1(2(3(4(2(3(3(2(x1)))))))))))))))))))) -> 2(4(3(0(3(0(1(4(2(1(4(3(2(1(3(2(3(1(2(2(x1))))))))))))))))))))
   4(0(1(4(1(2(1(3(4(2(4(3(3(2(1(1(4(4(2(2(x1)))))))))))))))))))) -> 4(2(3(4(2(4(1(1(1(2(0(1(1(4(0(0(1(3(2(1(x1))))))))))))))))))))
   4(1(0(2(0(0(0(2(3(4(0(4(2(0(2(0(3(4(3(2(x1)))))))))))))))))))) -> 2(1(1(1(4(2(2(0(0(4(1(2(2(2(0(0(2(4(0(2(x1))))))))))))))))))))
   4(1(1(3(2(3(0(3(3(3(4(2(4(4(4(1(0(2(0(2(x1)))))))))))))))))))) -> 4(4(4(4(1(0(0(3(1(4(0(4(4(0(3(0(1(3(2(2(x1))))))))))))))))))))
   4(1(1(4(4(0(1(2(1(0(0(4(4(2(3(3(3(1(3(2(x1)))))))))))))))))))) -> 3(1(0(4(2(4(4(1(2(4(3(3(2(2(1(4(3(3(4(2(x1))))))))))))))))))))
   4(1(3(4(3(2(2(1(1(2(3(0(4(1(1(3(4(3(4(2(x1)))))))))))))))))))) -> 2(4(2(1(1(4(0(2(3(0(0(4(2(4(4(0(3(3(1(2(x1))))))))))))))))))))
   4(2(1(1(0(1(0(0(2(0(3(2(1(0(0(3(0(1(2(2(x1)))))))))))))))))))) -> 0(0(4(1(0(1(4(2(4(1(0(0(0(1(4(1(3(3(2(1(x1))))))))))))))))))))
   4(2(3(0(3(4(1(1(1(1(0(4(1(1(1(3(4(4(2(2(x1)))))))))))))))))))) -> 2(0(3(3(2(4(4(2(1(1(4(1(1(0(0(2(4(0(0(2(x1))))))))))))))))))))
   4(3(0(3(2(3(0(4(3(1(3(4(2(0(3(4(3(2(2(1(x1)))))))))))))))))))) -> 0(3(4(3(3(2(4(1(0(0(1(0(0(2(0(3(2(0(2(2(x1))))))))))))))))))))
   4(3(1(0(2(1(0(4(4(0(3(1(0(0(3(0(4(3(1(2(x1)))))))))))))))))))) -> 0(1(3(4(0(2(0(0(3(0(0(3(1(2(4(3(1(1(3(2(x1))))))))))))))))))))
   4(3(1(1(2(2(1(3(1(0(0(1(1(0(4(2(3(3(0(2(x1)))))))))))))))))))) -> 0(3(3(1(4(1(1(2(1(2(1(3(1(3(1(4(2(2(4(2(x1))))))))))))))))))))
   4(3(3(0(2(4(1(2(2(3(0(0(2(0(0(1(0(3(1(2(x1)))))))))))))))))))) -> 4(0(2(3(1(1(4(3(3(1(1(4(0(2(3(2(2(0(1(2(x1))))))))))))))))))))
   4(3(4(0(2(4(3(2(3(3(1(3(3(4(2(4(0(4(1(2(x1)))))))))))))))))))) -> 4(4(3(4(1(0(4(4(3(0(2(1(4(2(1(1(4(4(1(2(x1))))))))))))))))))))
   4(4(2(4(0(0(2(3(4(3(3(1(4(2(2(3(1(0(2(1(x1)))))))))))))))))))) -> 4(4(1(4(4(4(1(1(4(0(2(3(2(3(1(2(2(1(2(1(x1))))))))))))))))))))
   4(4(3(1(1(3(4(3(2(3(1(1(0(0(0(0(0(0(2(1(x1)))))))))))))))))))) -> 0(4(0(1(3(0(2(4(3(1(2(2(3(2(0(0(4(4(1(2(x1))))))))))))))))))))
   4(4(3(3(4(0(1(0(1(4(0(0(2(3(3(4(0(0(2(1(x1)))))))))))))))))))) -> 1(0(1(2(0(1(1(1(1(2(0(0(1(4(3(2(2(4(3(2(x1))))))))))))))))))))

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

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

   encArg(cons_0(x_1)) -> 0(encArg(x_1))
   encArg(cons_1(x_1)) -> 1(encArg(x_1))
   encArg(cons_2(x_1)) -> 2(encArg(x_1))
   encArg(cons_3(x_1)) -> 3(encArg(x_1))
   encArg(cons_4(x_1)) -> 4(encArg(x_1))
   encode_0(x_1) -> 0(encArg(x_1))
   encode_1(x_1) -> 1(encArg(x_1))
   encode_2(x_1) -> 2(encArg(x_1))
   encode_3(x_1) -> 3(encArg(x_1))
   encode_4(x_1) -> 4(encArg(x_1))


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

(2)
Obligation:
The Runtime Complexity (full) of the given CpxRelTRS could be proven to be BOUNDS(1, INF).


The TRS R consists of the following rules:

   0(0(0(0(1(0(1(2(2(3(3(4(1(2(3(2(3(3(2(2(x1)))))))))))))))))))) -> 0(3(1(0(2(1(0(4(2(4(0(0(1(1(4(2(3(1(0(2(x1))))))))))))))))))))
   0(1(1(1(0(4(1(0(1(2(1(0(1(4(1(1(2(4(4(2(x1)))))))))))))))))))) -> 4(4(1(2(4(0(4(1(0(1(4(2(2(2(3(1(1(4(0(2(x1))))))))))))))))))))
   0(1(1(1(1(2(4(4(0(3(4(4(0(2(0(4(1(1(2(1(x1)))))))))))))))))))) -> 3(1(4(3(2(4(3(3(4(0(0(2(0(3(1(0(1(0(1(2(x1))))))))))))))))))))
   0(1(2(0(4(0(2(0(3(0(2(2(3(2(0(4(3(0(1(2(x1)))))))))))))))))))) -> 1(3(0(2(1(0(0(2(2(0(4(1(2(2(2(3(2(4(2(1(x1))))))))))))))))))))
   0(1(2(2(0(3(1(1(3(2(1(1(1(1(3(4(2(3(0(2(x1)))))))))))))))))))) -> 4(2(4(3(3(2(3(2(4(1(0(2(3(1(4(2(1(4(3(2(x1))))))))))))))))))))
   0(1(3(1(1(2(3(2(4(3(4(1(1(2(3(1(0(4(2(2(x1)))))))))))))))))))) -> 2(2(0(1(1(3(2(0(1(0(2(2(0(4(1(4(2(2(4(2(x1))))))))))))))))))))
   0(1(3(2(3(1(0(0(0(3(3(2(3(3(2(1(0(2(1(2(x1)))))))))))))))))))) -> 0(0(3(4(0(2(2(4(0(4(2(1(3(4(1(3(2(0(2(1(x1))))))))))))))))))))
   0(1(3(3(3(3(0(1(1(2(0(0(4(4(4(3(1(0(0(2(x1)))))))))))))))))))) -> 2(0(2(4(0(2(3(4(2(0(1(0(0(3(4(3(4(0(3(2(x1))))))))))))))))))))
   0(2(0(0(0(4(0(3(1(2(2(4(4(3(3(2(2(2(3(2(x1)))))))))))))))))))) -> 3(1(2(2(4(0(2(3(1(3(4(0(4(1(3(2(3(1(2(1(x1))))))))))))))))))))
   0(2(0(1(2(1(1(0(2(2(0(0(3(4(4(3(1(2(2(1(x1)))))))))))))))))))) -> 3(0(2(2(0(1(4(2(3(3(0(3(0(2(0(2(4(2(0(2(x1))))))))))))))))))))
   0(2(0(2(2(1(3(2(2(0(2(0(0(2(1(0(4(3(3(2(x1)))))))))))))))))))) -> 0(3(3(0(0(4(2(3(0(0(3(1(2(4(2(4(0(0(4(2(x1))))))))))))))))))))
   0(2(1(1(3(3(4(4(0(4(3(3(3(0(0(4(1(2(1(1(x1)))))))))))))))))))) -> 2(2(1(4(4(2(4(3(0(2(3(4(3(0(0(2(2(2(0(2(x1))))))))))))))))))))
   0(2(2(3(4(2(3(2(3(0(1(3(1(3(2(2(2(1(1(2(x1)))))))))))))))))))) -> 4(0(3(2(4(0(1(1(0(2(0(3(0(1(2(3(0(1(2(2(x1))))))))))))))))))))
   0(3(1(0(1(1(2(3(3(1(4(3(3(3(2(1(4(0(2(2(x1)))))))))))))))))))) -> 0(4(4(1(1(4(2(1(0(1(4(2(2(0(0(1(0(1(2(1(x1))))))))))))))))))))
   0(3(3(4(1(4(2(3(2(3(0(4(2(3(3(2(2(2(2(1(x1)))))))))))))))))))) -> 0(4(2(4(4(3(0(0(0(3(3(2(4(4(4(0(0(2(3(2(x1))))))))))))))))))))
   0(3(4(0(2(0(1(2(3(1(0(4(4(3(1(4(1(3(0(2(x1)))))))))))))))))))) -> 4(0(4(4(3(3(0(0(3(4(3(4(0(1(4(1(1(4(3(2(x1))))))))))))))))))))
   0(3(4(3(2(0(1(1(0(2(3(3(2(1(3(1(1(2(3(2(x1)))))))))))))))))))) -> 1(2(2(4(2(4(1(3(1(3(3(0(3(3(0(0(4(3(2(2(x1))))))))))))))))))))
   0(4(0(2(0(1(2(1(4(3(1(4(3(3(1(0(3(3(1(2(x1)))))))))))))))))))) -> 2(1(0(2(2(4(0(1(4(2(3(4(0(1(2(0(2(4(4(2(x1))))))))))))))))))))
   0(4(2(0(0(4(2(3(2(3(4(3(4(4(3(3(2(0(2(2(x1)))))))))))))))))))) -> 4(0(4(4(2(2(1(1(4(3(4(2(0(2(3(1(2(0(1(2(x1))))))))))))))))))))
   0(4(3(2(4(4(3(4(1(3(3(2(3(1(0(1(2(1(2(2(x1)))))))))))))))))))) -> 1(1(4(0(4(1(1(0(0(1(2(4(0(3(2(4(2(0(3(2(x1))))))))))))))))))))
   0(4(4(0(4(3(0(2(1(2(3(2(2(0(2(0(0(2(2(1(x1)))))))))))))))))))) -> 0(2(1(4(0(2(2(2(1(1(4(2(4(0(3(1(2(0(1(2(x1))))))))))))))))))))
   1(0(2(1(3(2(3(1(3(3(4(1(3(2(2(0(1(2(3(2(x1)))))))))))))))))))) -> 3(3(4(0(4(0(1(0(4(0(1(1(4(4(1(3(3(2(0(2(x1))))))))))))))))))))
   1(0(3(0(0(0(2(3(3(0(4(4(4(0(3(1(1(1(2(1(x1)))))))))))))))))))) -> 0(3(2(2(4(3(3(1(0(0(3(3(1(0(3(3(4(4(2(2(x1))))))))))))))))))))
   1(0(3(4(4(4(4(4(1(3(0(1(2(0(2(0(1(1(3(2(x1)))))))))))))))))))) -> 0(1(3(2(1(3(4(1(4(2(4(0(2(4(2(3(0(0(2(1(x1))))))))))))))))))))
   1(0(4(1(4(1(2(2(0(0(0(4(0(1(1(2(3(3(3(2(x1)))))))))))))))))))) -> 2(2(2(2(4(0(2(3(1(0(2(2(1(4(0(4(1(1(1(2(x1))))))))))))))))))))
   1(1(0(3(4(3(2(3(2(3(4(3(2(1(4(4(2(3(0(2(x1)))))))))))))))))))) -> 0(3(0(3(4(0(0(1(0(2(1(2(4(0(3(0(3(0(2(2(x1))))))))))))))))))))
   1(1(2(3(0(3(4(2(1(2(4(0(3(2(3(4(4(4(3(2(x1)))))))))))))))))))) -> 3(4(2(1(1(1(4(4(0(0(0(3(0(4(1(4(3(2(4(2(x1))))))))))))))))))))
   1(1(3(4(0(1(4(2(0(3(4(4(0(0(3(0(1(2(3(2(x1)))))))))))))))))))) -> 3(0(4(1(1(4(0(4(1(2(1(4(2(0(4(4(3(3(2(2(x1))))))))))))))))))))
   1(2(0(4(1(4(3(0(0(0(3(2(4(4(1(3(0(2(3(2(x1)))))))))))))))))))) -> 1(3(2(2(0(3(2(0(0(2(4(0(1(4(2(0(2(0(1(2(x1))))))))))))))))))))
   1(2(2(1(0(3(2(4(4(1(4(0(0(0(3(1(3(3(2(1(x1)))))))))))))))))))) -> 1(4(0(0(3(1(2(0(0(3(0(1(4(4(3(2(4(2(1(1(x1))))))))))))))))))))
   1(2(3(4(2(4(2(3(2(0(2(1(0(2(2(0(4(2(0(2(x1)))))))))))))))))))) -> 1(1(1(4(0(4(4(0(0(0(2(1(3(4(0(2(4(0(0(2(x1))))))))))))))))))))
   1(2(4(4(4(3(1(0(0(2(0(0(4(0(4(4(3(1(0(2(x1)))))))))))))))))))) -> 1(2(4(3(0(1(1(0(0(2(0(1(1(3(2(1(4(1(0(2(x1))))))))))))))))))))
   1(3(0(1(3(2(0(4(0(2(0(4(2(0(4(0(2(4(0(2(x1)))))))))))))))))))) -> 4(3(0(3(2(2(1(3(4(0(1(0(1(2(0(1(1(4(4(2(x1))))))))))))))))))))
   1(3(3(1(0(0(1(1(3(2(3(0(0(0(1(1(1(1(0(2(x1)))))))))))))))))))) -> 1(3(0(4(1(1(4(3(4(2(4(4(3(3(3(2(0(2(2(1(x1))))))))))))))))))))
   1(4(0(2(3(0(0(4(4(1(0(0(1(0(2(2(1(1(3(2(x1)))))))))))))))))))) -> 4(2(4(1(4(0(3(0(4(3(0(3(3(1(3(0(2(1(2(1(x1))))))))))))))))))))
   1(4(1(3(1(1(0(0(0(0(4(3(0(0(2(0(2(1(1(1(x1)))))))))))))))))))) -> 2(1(4(2(0(0(3(3(4(3(0(2(4(1(0(2(4(4(2(1(x1))))))))))))))))))))
   2(0(0(1(2(3(2(3(0(1(2(4(2(2(1(0(0(3(2(1(x1)))))))))))))))))))) -> 2(4(0(1(1(2(3(0(0(4(3(0(1(0(4(2(4(3(4(2(x1))))))))))))))))))))
   2(0(1(1(0(0(4(2(3(1(0(2(3(0(3(4(0(3(3(2(x1)))))))))))))))))))) -> 3(4(1(3(2(0(3(0(4(1(2(4(0(4(4(1(3(2(0(2(x1))))))))))))))))))))
   2(0(1(2(0(1(0(1(0(4(3(1(4(4(4(0(2(3(3(2(x1)))))))))))))))))))) -> 4(1(0(0(1(3(2(0(2(4(1(0(4(0(2(0(3(0(2(2(x1))))))))))))))))))))
   2(0(1(2(0(1(3(2(2(0(4(3(2(2(4(3(0(1(2(1(x1)))))))))))))))))))) -> 0(2(2(4(1(4(4(3(1(1(2(4(3(1(2(0(1(2(1(2(x1))))))))))))))))))))
   2(0(2(1(3(3(4(0(1(1(2(0(3(1(3(0(1(2(1(2(x1)))))))))))))))))))) -> 2(2(2(0(1(1(4(3(2(0(2(3(3(3(1(1(2(2(4(2(x1))))))))))))))))))))
   2(0(4(3(4(0(2(1(3(2(0(3(2(0(1(0(4(4(2(2(x1)))))))))))))))))))) -> 4(0(3(2(4(0(1(1(2(4(0(4(4(0(4(2(3(2(2(2(x1))))))))))))))))))))
   2(0(4(4(0(3(3(2(4(0(1(4(2(4(4(4(2(2(2(2(x1)))))))))))))))))))) -> 0(2(2(0(1(0(4(3(0(2(4(2(2(4(3(3(1(3(1(2(x1))))))))))))))))))))
   2(0(4(4(2(1(3(3(3(2(0(0(2(3(3(1(4(2(3(2(x1)))))))))))))))))))) -> 0(0(2(1(2(1(2(0(2(4(1(4(1(3(0(1(2(0(3(2(x1))))))))))))))))))))
   2(1(0(1(0(4(2(1(1(1(3(0(4(2(2(0(2(3(2(2(x1)))))))))))))))))))) -> 3(2(0(3(1(3(1(2(1(2(1(1(1(3(1(1(4(1(3(2(x1))))))))))))))))))))
   2(1(0(3(1(4(4(0(4(3(0(4(3(3(4(1(2(3(4(2(x1)))))))))))))))))))) -> 1(4(1(4(4(2(2(0(2(3(1(0(1(3(0(0(2(0(2(1(x1))))))))))))))))))))
   2(1(2(0(3(1(4(2(3(0(1(1(4(4(2(0(4(3(2(1(x1)))))))))))))))))))) -> 1(2(3(4(0(1(4(3(1(1(1(4(1(4(0(0(2(1(4(2(x1))))))))))))))))))))
   2(1(2(3(3(2(2(1(2(3(3(2(0(4(3(4(1(0(1(2(x1)))))))))))))))))))) -> 3(4(1(4(0(2(0(1(2(0(4(4(1(0(2(4(1(1(1(2(x1))))))))))))))))))))
   2(1(2(3(4(4(0(2(3(2(0(3(2(4(4(4(2(4(2(2(x1)))))))))))))))))))) -> 1(1(3(3(1(3(3(2(2(1(4(1(2(2(4(1(2(2(3(2(x1))))))))))))))))))))
   2(1(3(4(1(3(3(4(2(0(0(1(0(1(2(0(1(0(4(2(x1)))))))))))))))))))) -> 2(1(1(2(1(1(0(1(4(0(1(3(2(1(2(4(0(1(2(2(x1))))))))))))))))))))
   2(2(1(0(1(1(2(0(2(2(0(2(2(1(3(0(4(4(1(2(x1)))))))))))))))))))) -> 1(2(1(2(4(0(2(1(2(0(3(1(1(2(2(4(4(3(1(2(x1))))))))))))))))))))
   2(2(1(2(3(3(2(0(3(0(2(0(4(2(4(1(2(3(0(2(x1)))))))))))))))))))) -> 0(4(1(0(2(2(1(0(3(3(4(2(1(4(1(2(1(4(1(2(x1))))))))))))))))))))
   2(2(2(1(4(3(0(3(2(4(0(4(0(4(1(0(4(2(2(1(x1)))))))))))))))))))) -> 1(1(4(2(4(4(2(1(2(0(3(2(1(4(3(1(3(2(4(2(x1))))))))))))))))))))
   2(3(2(0(0(1(0(3(3(1(4(1(3(0(0(3(2(3(4(2(x1)))))))))))))))))))) -> 1(2(4(4(0(1(1(4(4(4(2(2(4(4(3(2(0(3(4(2(x1))))))))))))))))))))
   2(3(4(2(2(3(3(4(3(2(0(2(1(0(2(1(4(1(3(2(x1)))))))))))))))))))) -> 1(4(0(4(1(3(1(1(1(1(3(0(1(0(4(1(4(2(1(1(x1))))))))))))))))))))
   2(4(0(3(4(1(1(4(0(2(2(2(3(4(4(3(3(3(0(2(x1)))))))))))))))))))) -> 0(1(0(0(1(1(4(3(3(0(4(2(4(1(1(3(2(2(2(2(x1))))))))))))))))))))
   2(4(0(4(3(1(2(1(2(2(3(0(1(0(1(3(1(3(3(2(x1)))))))))))))))))))) -> 0(2(4(4(1(4(1(4(2(2(2(4(3(3(3(1(1(0(1(2(x1))))))))))))))))))))
   2(4(2(0(3(2(2(4(4(3(0(1(0(3(2(3(2(2(4(2(x1)))))))))))))))))))) -> 3(0(4(0(2(4(1(0(3(2(3(0(0(2(4(2(4(1(0(2(x1))))))))))))))))))))
   2(4(4(0(2(4(2(2(3(1(0(2(0(0(1(1(4(2(2(1(x1)))))))))))))))))))) -> 0(2(4(1(4(4(0(2(4(1(1(4(1(3(3(0(3(2(1(2(x1))))))))))))))))))))
   3(0(1(2(3(0(1(2(2(2(0(2(3(3(3(4(3(3(2(1(x1)))))))))))))))))))) -> 0(2(3(1(3(1(0(1(2(1(1(1(1(3(3(4(4(0(3(2(x1))))))))))))))))))))
   3(0(2(3(3(2(0(2(0(1(2(4(3(3(1(4(4(0(2(1(x1)))))))))))))))))))) -> 2(0(2(1(1(1(3(3(0(4(2(4(3(0(1(1(1(4(1(2(x1))))))))))))))))))))
   3(0(3(0(0(0(2(0(1(2(2(4(0(1(2(0(3(2(2(2(x1)))))))))))))))))))) -> 4(4(2(4(4(2(4(1(4(4(2(0(3(2(1(4(4(2(4(2(x1))))))))))))))))))))
   3(0(4(3(2(3(3(2(3(0(1(0(1(0(1(3(1(4(2(1(x1)))))))))))))))))))) -> 4(1(3(2(1(4(1(0(1(3(3(1(4(4(0(4(2(1(1(2(x1))))))))))))))))))))
   3(1(0(2(3(2(2(4(3(0(2(0(4(2(1(0(2(1(1(1(x1)))))))))))))))))))) -> 1(4(0(1(0(4(1(1(3(4(3(2(4(4(3(2(1(1(2(2(x1))))))))))))))))))))
   3(1(1(1(3(3(0(1(3(4(4(2(2(3(1(3(3(4(1(2(x1)))))))))))))))))))) -> 1(4(1(1(2(1(1(3(4(1(4(2(0(0(2(2(3(2(2(2(x1))))))))))))))))))))
   3(1(1(2(0(3(2(0(4(0(0(4(3(4(3(1(1(2(1(1(x1)))))))))))))))))))) -> 4(2(0(1(2(4(3(4(4(3(3(3(1(1(3(0(4(3(4(2(x1))))))))))))))))))))
   3(1(1(2(4(3(1(2(3(0(1(1(1(2(2(3(1(1(3(2(x1)))))))))))))))))))) -> 4(0(0(1(3(0(1(1(2(4(2(4(3(4(1(4(0(0(0(2(x1))))))))))))))))))))
   3(1(3(2(2(4(1(0(3(1(3(0(2(0(0(0(3(3(2(1(x1)))))))))))))))))))) -> 1(3(0(2(1(3(2(1(4(2(2(2(3(4(4(0(2(4(3(2(x1))))))))))))))))))))
   3(2(0(1(4(3(0(2(0(2(2(3(0(1(4(2(1(1(1(2(x1)))))))))))))))))))) -> 0(3(1(2(2(2(4(0(3(0(0(3(2(4(4(2(4(3(2(1(x1))))))))))))))))))))
   3(2(0(3(4(3(1(1(3(2(0(3(0(0(0(1(4(2(4(1(x1)))))))))))))))))))) -> 3(3(2(0(2(4(3(0(0(3(3(0(1(2(4(1(0(0(2(1(x1))))))))))))))))))))
   3(2(1(0(4(1(2(2(0(3(4(3(2(3(4(1(4(0(1(2(x1)))))))))))))))))))) -> 0(2(4(3(3(2(4(3(3(3(1(2(2(3(4(3(4(3(4(2(x1))))))))))))))))))))
   3(2(1(1(1(4(2(4(0(3(1(3(0(2(3(0(4(0(3(2(x1)))))))))))))))))))) -> 3(0(3(0(4(3(2(2(1(1(4(4(4(3(0(2(4(2(2(2(x1))))))))))))))))))))
   3(2(3(1(0(1(4(2(4(3(1(0(4(1(4(3(3(1(0(2(x1)))))))))))))))))))) -> 0(0(1(2(2(0(4(4(4(1(0(2(4(1(4(4(0(1(1(2(x1))))))))))))))))))))
   3(2(3(3(3(4(1(2(1(2(1(2(1(3(1(1(0(1(4(2(x1)))))))))))))))))))) -> 3(0(1(0(0(4(4(4(4(2(4(4(4(3(0(0(2(1(4(2(x1))))))))))))))))))))
   3(2(4(3(2(2(0(2(3(4(0(1(0(4(3(0(3(0(4(2(x1)))))))))))))))))))) -> 0(1(2(0(4(2(3(1(4(0(1(1(0(0(1(1(0(1(1(2(x1))))))))))))))))))))
   3(3(0(2(0(0(1(3(0(2(2(2(4(0(3(1(1(0(0(2(x1)))))))))))))))))))) -> 4(0(2(1(3(2(4(0(1(4(1(1(0(2(0(0(2(2(4(2(x1))))))))))))))))))))
   3(3(0(4(4(2(4(0(4(0(4(2(0(2(2(2(4(0(3(2(x1)))))))))))))))))))) -> 0(1(0(1(1(1(4(4(0(1(3(2(2(4(1(4(3(4(2(2(x1))))))))))))))))))))
   3(3(3(1(3(4(3(0(3(1(3(2(2(4(0(3(4(2(0(2(x1)))))))))))))))))))) -> 4(0(4(1(0(2(4(3(4(2(3(2(3(3(3(0(1(0(4(2(x1))))))))))))))))))))
   3(3(3(2(1(1(3(3(4(2(4(3(2(2(0(3(0(4(2(2(x1)))))))))))))))))))) -> 1(3(4(2(4(4(4(3(2(4(4(0(3(3(4(0(4(2(2(1(x1))))))))))))))))))))
   3(3(3(4(1(1(4(2(3(0(3(4(4(1(2(3(4(1(4(2(x1)))))))))))))))))))) -> 0(2(4(3(1(2(3(4(1(2(0(1(1(3(3(4(1(0(1(2(x1))))))))))))))))))))
   3(4(0(2(2(1(1(0(3(3(1(3(2(2(2(1(1(2(0(2(x1)))))))))))))))))))) -> 3(0(2(3(4(2(0(2(1(4(0(3(3(2(4(1(2(4(1(2(x1))))))))))))))))))))
   3(4(2(2(4(4(0(3(1(4(1(0(4(0(1(0(2(1(0(2(x1)))))))))))))))))))) -> 0(2(4(1(2(0(3(0(2(3(4(1(1(4(0(3(3(2(4(2(x1))))))))))))))))))))
   3(4(4(2(1(1(4(3(4(3(0(3(3(3(2(2(0(3(1(2(x1)))))))))))))))))))) -> 2(4(0(3(2(3(1(4(3(2(2(2(0(1(0(2(3(2(3(2(x1))))))))))))))))))))
   4(0(1(3(3(2(4(3(3(2(0(0(1(2(3(4(2(3(3(2(x1)))))))))))))))))))) -> 2(4(3(0(3(0(1(4(2(1(4(3(2(1(3(2(3(1(2(2(x1))))))))))))))))))))
   4(0(1(4(1(2(1(3(4(2(4(3(3(2(1(1(4(4(2(2(x1)))))))))))))))))))) -> 4(2(3(4(2(4(1(1(1(2(0(1(1(4(0(0(1(3(2(1(x1))))))))))))))))))))
   4(1(0(2(0(0(0(2(3(4(0(4(2(0(2(0(3(4(3(2(x1)))))))))))))))))))) -> 2(1(1(1(4(2(2(0(0(4(1(2(2(2(0(0(2(4(0(2(x1))))))))))))))))))))
   4(1(1(3(2(3(0(3(3(3(4(2(4(4(4(1(0(2(0(2(x1)))))))))))))))))))) -> 4(4(4(4(1(0(0(3(1(4(0(4(4(0(3(0(1(3(2(2(x1))))))))))))))))))))
   4(1(1(4(4(0(1(2(1(0(0(4(4(2(3(3(3(1(3(2(x1)))))))))))))))))))) -> 3(1(0(4(2(4(4(1(2(4(3(3(2(2(1(4(3(3(4(2(x1))))))))))))))))))))
   4(1(3(4(3(2(2(1(1(2(3(0(4(1(1(3(4(3(4(2(x1)))))))))))))))))))) -> 2(4(2(1(1(4(0(2(3(0(0(4(2(4(4(0(3(3(1(2(x1))))))))))))))))))))
   4(2(1(1(0(1(0(0(2(0(3(2(1(0(0(3(0(1(2(2(x1)))))))))))))))))))) -> 0(0(4(1(0(1(4(2(4(1(0(0(0(1(4(1(3(3(2(1(x1))))))))))))))))))))
   4(2(3(0(3(4(1(1(1(1(0(4(1(1(1(3(4(4(2(2(x1)))))))))))))))))))) -> 2(0(3(3(2(4(4(2(1(1(4(1(1(0(0(2(4(0(0(2(x1))))))))))))))))))))
   4(3(0(3(2(3(0(4(3(1(3(4(2(0(3(4(3(2(2(1(x1)))))))))))))))))))) -> 0(3(4(3(3(2(4(1(0(0(1(0(0(2(0(3(2(0(2(2(x1))))))))))))))))))))
   4(3(1(0(2(1(0(4(4(0(3(1(0(0(3(0(4(3(1(2(x1)))))))))))))))))))) -> 0(1(3(4(0(2(0(0(3(0(0(3(1(2(4(3(1(1(3(2(x1))))))))))))))))))))
   4(3(1(1(2(2(1(3(1(0(0(1(1(0(4(2(3(3(0(2(x1)))))))))))))))))))) -> 0(3(3(1(4(1(1(2(1(2(1(3(1(3(1(4(2(2(4(2(x1))))))))))))))))))))
   4(3(3(0(2(4(1(2(2(3(0(0(2(0(0(1(0(3(1(2(x1)))))))))))))))))))) -> 4(0(2(3(1(1(4(3(3(1(1(4(0(2(3(2(2(0(1(2(x1))))))))))))))))))))
   4(3(4(0(2(4(3(2(3(3(1(3(3(4(2(4(0(4(1(2(x1)))))))))))))))))))) -> 4(4(3(4(1(0(4(4(3(0(2(1(4(2(1(1(4(4(1(2(x1))))))))))))))))))))
   4(4(2(4(0(0(2(3(4(3(3(1(4(2(2(3(1(0(2(1(x1)))))))))))))))))))) -> 4(4(1(4(4(4(1(1(4(0(2(3(2(3(1(2(2(1(2(1(x1))))))))))))))))))))
   4(4(3(1(1(3(4(3(2(3(1(1(0(0(0(0(0(0(2(1(x1)))))))))))))))))))) -> 0(4(0(1(3(0(2(4(3(1(2(2(3(2(0(0(4(4(1(2(x1))))))))))))))))))))
   4(4(3(3(4(0(1(0(1(4(0(0(2(3(3(4(0(0(2(1(x1)))))))))))))))))))) -> 1(0(1(2(0(1(1(1(1(2(0(0(1(4(3(2(2(4(3(2(x1))))))))))))))))))))

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

   encArg(cons_0(x_1)) -> 0(encArg(x_1))
   encArg(cons_1(x_1)) -> 1(encArg(x_1))
   encArg(cons_2(x_1)) -> 2(encArg(x_1))
   encArg(cons_3(x_1)) -> 3(encArg(x_1))
   encArg(cons_4(x_1)) -> 4(encArg(x_1))
   encode_0(x_1) -> 0(encArg(x_1))
   encode_1(x_1) -> 1(encArg(x_1))
   encode_2(x_1) -> 2(encArg(x_1))
   encode_3(x_1) -> 3(encArg(x_1))
   encode_4(x_1) -> 4(encArg(x_1))

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

(3) SInnermostTerminationProof (BOTH CONCRETE BOUNDS(ID, ID))
proved innermost termination of relative rules
----------------------------------------

(4)
Obligation:
The Runtime Complexity (full) of the given CpxRelTRS could be proven to be BOUNDS(1, INF).


The TRS R consists of the following rules:

   0(0(0(0(1(0(1(2(2(3(3(4(1(2(3(2(3(3(2(2(x1)))))))))))))))))))) -> 0(3(1(0(2(1(0(4(2(4(0(0(1(1(4(2(3(1(0(2(x1))))))))))))))))))))
   0(1(1(1(0(4(1(0(1(2(1(0(1(4(1(1(2(4(4(2(x1)))))))))))))))))))) -> 4(4(1(2(4(0(4(1(0(1(4(2(2(2(3(1(1(4(0(2(x1))))))))))))))))))))
   0(1(1(1(1(2(4(4(0(3(4(4(0(2(0(4(1(1(2(1(x1)))))))))))))))))))) -> 3(1(4(3(2(4(3(3(4(0(0(2(0(3(1(0(1(0(1(2(x1))))))))))))))))))))
   0(1(2(0(4(0(2(0(3(0(2(2(3(2(0(4(3(0(1(2(x1)))))))))))))))))))) -> 1(3(0(2(1(0(0(2(2(0(4(1(2(2(2(3(2(4(2(1(x1))))))))))))))))))))
   0(1(2(2(0(3(1(1(3(2(1(1(1(1(3(4(2(3(0(2(x1)))))))))))))))))))) -> 4(2(4(3(3(2(3(2(4(1(0(2(3(1(4(2(1(4(3(2(x1))))))))))))))))))))
   0(1(3(1(1(2(3(2(4(3(4(1(1(2(3(1(0(4(2(2(x1)))))))))))))))))))) -> 2(2(0(1(1(3(2(0(1(0(2(2(0(4(1(4(2(2(4(2(x1))))))))))))))))))))
   0(1(3(2(3(1(0(0(0(3(3(2(3(3(2(1(0(2(1(2(x1)))))))))))))))))))) -> 0(0(3(4(0(2(2(4(0(4(2(1(3(4(1(3(2(0(2(1(x1))))))))))))))))))))
   0(1(3(3(3(3(0(1(1(2(0(0(4(4(4(3(1(0(0(2(x1)))))))))))))))))))) -> 2(0(2(4(0(2(3(4(2(0(1(0(0(3(4(3(4(0(3(2(x1))))))))))))))))))))
   0(2(0(0(0(4(0(3(1(2(2(4(4(3(3(2(2(2(3(2(x1)))))))))))))))))))) -> 3(1(2(2(4(0(2(3(1(3(4(0(4(1(3(2(3(1(2(1(x1))))))))))))))))))))
   0(2(0(1(2(1(1(0(2(2(0(0(3(4(4(3(1(2(2(1(x1)))))))))))))))))))) -> 3(0(2(2(0(1(4(2(3(3(0(3(0(2(0(2(4(2(0(2(x1))))))))))))))))))))
   0(2(0(2(2(1(3(2(2(0(2(0(0(2(1(0(4(3(3(2(x1)))))))))))))))))))) -> 0(3(3(0(0(4(2(3(0(0(3(1(2(4(2(4(0(0(4(2(x1))))))))))))))))))))
   0(2(1(1(3(3(4(4(0(4(3(3(3(0(0(4(1(2(1(1(x1)))))))))))))))))))) -> 2(2(1(4(4(2(4(3(0(2(3(4(3(0(0(2(2(2(0(2(x1))))))))))))))))))))
   0(2(2(3(4(2(3(2(3(0(1(3(1(3(2(2(2(1(1(2(x1)))))))))))))))))))) -> 4(0(3(2(4(0(1(1(0(2(0(3(0(1(2(3(0(1(2(2(x1))))))))))))))))))))
   0(3(1(0(1(1(2(3(3(1(4(3(3(3(2(1(4(0(2(2(x1)))))))))))))))))))) -> 0(4(4(1(1(4(2(1(0(1(4(2(2(0(0(1(0(1(2(1(x1))))))))))))))))))))
   0(3(3(4(1(4(2(3(2(3(0(4(2(3(3(2(2(2(2(1(x1)))))))))))))))))))) -> 0(4(2(4(4(3(0(0(0(3(3(2(4(4(4(0(0(2(3(2(x1))))))))))))))))))))
   0(3(4(0(2(0(1(2(3(1(0(4(4(3(1(4(1(3(0(2(x1)))))))))))))))))))) -> 4(0(4(4(3(3(0(0(3(4(3(4(0(1(4(1(1(4(3(2(x1))))))))))))))))))))
   0(3(4(3(2(0(1(1(0(2(3(3(2(1(3(1(1(2(3(2(x1)))))))))))))))))))) -> 1(2(2(4(2(4(1(3(1(3(3(0(3(3(0(0(4(3(2(2(x1))))))))))))))))))))
   0(4(0(2(0(1(2(1(4(3(1(4(3(3(1(0(3(3(1(2(x1)))))))))))))))))))) -> 2(1(0(2(2(4(0(1(4(2(3(4(0(1(2(0(2(4(4(2(x1))))))))))))))))))))
   0(4(2(0(0(4(2(3(2(3(4(3(4(4(3(3(2(0(2(2(x1)))))))))))))))))))) -> 4(0(4(4(2(2(1(1(4(3(4(2(0(2(3(1(2(0(1(2(x1))))))))))))))))))))
   0(4(3(2(4(4(3(4(1(3(3(2(3(1(0(1(2(1(2(2(x1)))))))))))))))))))) -> 1(1(4(0(4(1(1(0(0(1(2(4(0(3(2(4(2(0(3(2(x1))))))))))))))))))))
   0(4(4(0(4(3(0(2(1(2(3(2(2(0(2(0(0(2(2(1(x1)))))))))))))))))))) -> 0(2(1(4(0(2(2(2(1(1(4(2(4(0(3(1(2(0(1(2(x1))))))))))))))))))))
   1(0(2(1(3(2(3(1(3(3(4(1(3(2(2(0(1(2(3(2(x1)))))))))))))))))))) -> 3(3(4(0(4(0(1(0(4(0(1(1(4(4(1(3(3(2(0(2(x1))))))))))))))))))))
   1(0(3(0(0(0(2(3(3(0(4(4(4(0(3(1(1(1(2(1(x1)))))))))))))))))))) -> 0(3(2(2(4(3(3(1(0(0(3(3(1(0(3(3(4(4(2(2(x1))))))))))))))))))))
   1(0(3(4(4(4(4(4(1(3(0(1(2(0(2(0(1(1(3(2(x1)))))))))))))))))))) -> 0(1(3(2(1(3(4(1(4(2(4(0(2(4(2(3(0(0(2(1(x1))))))))))))))))))))
   1(0(4(1(4(1(2(2(0(0(0(4(0(1(1(2(3(3(3(2(x1)))))))))))))))))))) -> 2(2(2(2(4(0(2(3(1(0(2(2(1(4(0(4(1(1(1(2(x1))))))))))))))))))))
   1(1(0(3(4(3(2(3(2(3(4(3(2(1(4(4(2(3(0(2(x1)))))))))))))))))))) -> 0(3(0(3(4(0(0(1(0(2(1(2(4(0(3(0(3(0(2(2(x1))))))))))))))))))))
   1(1(2(3(0(3(4(2(1(2(4(0(3(2(3(4(4(4(3(2(x1)))))))))))))))))))) -> 3(4(2(1(1(1(4(4(0(0(0(3(0(4(1(4(3(2(4(2(x1))))))))))))))))))))
   1(1(3(4(0(1(4(2(0(3(4(4(0(0(3(0(1(2(3(2(x1)))))))))))))))))))) -> 3(0(4(1(1(4(0(4(1(2(1(4(2(0(4(4(3(3(2(2(x1))))))))))))))))))))
   1(2(0(4(1(4(3(0(0(0(3(2(4(4(1(3(0(2(3(2(x1)))))))))))))))))))) -> 1(3(2(2(0(3(2(0(0(2(4(0(1(4(2(0(2(0(1(2(x1))))))))))))))))))))
   1(2(2(1(0(3(2(4(4(1(4(0(0(0(3(1(3(3(2(1(x1)))))))))))))))))))) -> 1(4(0(0(3(1(2(0(0(3(0(1(4(4(3(2(4(2(1(1(x1))))))))))))))))))))
   1(2(3(4(2(4(2(3(2(0(2(1(0(2(2(0(4(2(0(2(x1)))))))))))))))))))) -> 1(1(1(4(0(4(4(0(0(0(2(1(3(4(0(2(4(0(0(2(x1))))))))))))))))))))
   1(2(4(4(4(3(1(0(0(2(0(0(4(0(4(4(3(1(0(2(x1)))))))))))))))))))) -> 1(2(4(3(0(1(1(0(0(2(0(1(1(3(2(1(4(1(0(2(x1))))))))))))))))))))
   1(3(0(1(3(2(0(4(0(2(0(4(2(0(4(0(2(4(0(2(x1)))))))))))))))))))) -> 4(3(0(3(2(2(1(3(4(0(1(0(1(2(0(1(1(4(4(2(x1))))))))))))))))))))
   1(3(3(1(0(0(1(1(3(2(3(0(0(0(1(1(1(1(0(2(x1)))))))))))))))))))) -> 1(3(0(4(1(1(4(3(4(2(4(4(3(3(3(2(0(2(2(1(x1))))))))))))))))))))
   1(4(0(2(3(0(0(4(4(1(0(0(1(0(2(2(1(1(3(2(x1)))))))))))))))))))) -> 4(2(4(1(4(0(3(0(4(3(0(3(3(1(3(0(2(1(2(1(x1))))))))))))))))))))
   1(4(1(3(1(1(0(0(0(0(4(3(0(0(2(0(2(1(1(1(x1)))))))))))))))))))) -> 2(1(4(2(0(0(3(3(4(3(0(2(4(1(0(2(4(4(2(1(x1))))))))))))))))))))
   2(0(0(1(2(3(2(3(0(1(2(4(2(2(1(0(0(3(2(1(x1)))))))))))))))))))) -> 2(4(0(1(1(2(3(0(0(4(3(0(1(0(4(2(4(3(4(2(x1))))))))))))))))))))
   2(0(1(1(0(0(4(2(3(1(0(2(3(0(3(4(0(3(3(2(x1)))))))))))))))))))) -> 3(4(1(3(2(0(3(0(4(1(2(4(0(4(4(1(3(2(0(2(x1))))))))))))))))))))
   2(0(1(2(0(1(0(1(0(4(3(1(4(4(4(0(2(3(3(2(x1)))))))))))))))))))) -> 4(1(0(0(1(3(2(0(2(4(1(0(4(0(2(0(3(0(2(2(x1))))))))))))))))))))
   2(0(1(2(0(1(3(2(2(0(4(3(2(2(4(3(0(1(2(1(x1)))))))))))))))))))) -> 0(2(2(4(1(4(4(3(1(1(2(4(3(1(2(0(1(2(1(2(x1))))))))))))))))))))
   2(0(2(1(3(3(4(0(1(1(2(0(3(1(3(0(1(2(1(2(x1)))))))))))))))))))) -> 2(2(2(0(1(1(4(3(2(0(2(3(3(3(1(1(2(2(4(2(x1))))))))))))))))))))
   2(0(4(3(4(0(2(1(3(2(0(3(2(0(1(0(4(4(2(2(x1)))))))))))))))))))) -> 4(0(3(2(4(0(1(1(2(4(0(4(4(0(4(2(3(2(2(2(x1))))))))))))))))))))
   2(0(4(4(0(3(3(2(4(0(1(4(2(4(4(4(2(2(2(2(x1)))))))))))))))))))) -> 0(2(2(0(1(0(4(3(0(2(4(2(2(4(3(3(1(3(1(2(x1))))))))))))))))))))
   2(0(4(4(2(1(3(3(3(2(0(0(2(3(3(1(4(2(3(2(x1)))))))))))))))))))) -> 0(0(2(1(2(1(2(0(2(4(1(4(1(3(0(1(2(0(3(2(x1))))))))))))))))))))
   2(1(0(1(0(4(2(1(1(1(3(0(4(2(2(0(2(3(2(2(x1)))))))))))))))))))) -> 3(2(0(3(1(3(1(2(1(2(1(1(1(3(1(1(4(1(3(2(x1))))))))))))))))))))
   2(1(0(3(1(4(4(0(4(3(0(4(3(3(4(1(2(3(4(2(x1)))))))))))))))))))) -> 1(4(1(4(4(2(2(0(2(3(1(0(1(3(0(0(2(0(2(1(x1))))))))))))))))))))
   2(1(2(0(3(1(4(2(3(0(1(1(4(4(2(0(4(3(2(1(x1)))))))))))))))))))) -> 1(2(3(4(0(1(4(3(1(1(1(4(1(4(0(0(2(1(4(2(x1))))))))))))))))))))
   2(1(2(3(3(2(2(1(2(3(3(2(0(4(3(4(1(0(1(2(x1)))))))))))))))))))) -> 3(4(1(4(0(2(0(1(2(0(4(4(1(0(2(4(1(1(1(2(x1))))))))))))))))))))
   2(1(2(3(4(4(0(2(3(2(0(3(2(4(4(4(2(4(2(2(x1)))))))))))))))))))) -> 1(1(3(3(1(3(3(2(2(1(4(1(2(2(4(1(2(2(3(2(x1))))))))))))))))))))
   2(1(3(4(1(3(3(4(2(0(0(1(0(1(2(0(1(0(4(2(x1)))))))))))))))))))) -> 2(1(1(2(1(1(0(1(4(0(1(3(2(1(2(4(0(1(2(2(x1))))))))))))))))))))
   2(2(1(0(1(1(2(0(2(2(0(2(2(1(3(0(4(4(1(2(x1)))))))))))))))))))) -> 1(2(1(2(4(0(2(1(2(0(3(1(1(2(2(4(4(3(1(2(x1))))))))))))))))))))
   2(2(1(2(3(3(2(0(3(0(2(0(4(2(4(1(2(3(0(2(x1)))))))))))))))))))) -> 0(4(1(0(2(2(1(0(3(3(4(2(1(4(1(2(1(4(1(2(x1))))))))))))))))))))
   2(2(2(1(4(3(0(3(2(4(0(4(0(4(1(0(4(2(2(1(x1)))))))))))))))))))) -> 1(1(4(2(4(4(2(1(2(0(3(2(1(4(3(1(3(2(4(2(x1))))))))))))))))))))
   2(3(2(0(0(1(0(3(3(1(4(1(3(0(0(3(2(3(4(2(x1)))))))))))))))))))) -> 1(2(4(4(0(1(1(4(4(4(2(2(4(4(3(2(0(3(4(2(x1))))))))))))))))))))
   2(3(4(2(2(3(3(4(3(2(0(2(1(0(2(1(4(1(3(2(x1)))))))))))))))))))) -> 1(4(0(4(1(3(1(1(1(1(3(0(1(0(4(1(4(2(1(1(x1))))))))))))))))))))
   2(4(0(3(4(1(1(4(0(2(2(2(3(4(4(3(3(3(0(2(x1)))))))))))))))))))) -> 0(1(0(0(1(1(4(3(3(0(4(2(4(1(1(3(2(2(2(2(x1))))))))))))))))))))
   2(4(0(4(3(1(2(1(2(2(3(0(1(0(1(3(1(3(3(2(x1)))))))))))))))))))) -> 0(2(4(4(1(4(1(4(2(2(2(4(3(3(3(1(1(0(1(2(x1))))))))))))))))))))
   2(4(2(0(3(2(2(4(4(3(0(1(0(3(2(3(2(2(4(2(x1)))))))))))))))))))) -> 3(0(4(0(2(4(1(0(3(2(3(0(0(2(4(2(4(1(0(2(x1))))))))))))))))))))
   2(4(4(0(2(4(2(2(3(1(0(2(0(0(1(1(4(2(2(1(x1)))))))))))))))))))) -> 0(2(4(1(4(4(0(2(4(1(1(4(1(3(3(0(3(2(1(2(x1))))))))))))))))))))
   3(0(1(2(3(0(1(2(2(2(0(2(3(3(3(4(3(3(2(1(x1)))))))))))))))))))) -> 0(2(3(1(3(1(0(1(2(1(1(1(1(3(3(4(4(0(3(2(x1))))))))))))))))))))
   3(0(2(3(3(2(0(2(0(1(2(4(3(3(1(4(4(0(2(1(x1)))))))))))))))))))) -> 2(0(2(1(1(1(3(3(0(4(2(4(3(0(1(1(1(4(1(2(x1))))))))))))))))))))
   3(0(3(0(0(0(2(0(1(2(2(4(0(1(2(0(3(2(2(2(x1)))))))))))))))))))) -> 4(4(2(4(4(2(4(1(4(4(2(0(3(2(1(4(4(2(4(2(x1))))))))))))))))))))
   3(0(4(3(2(3(3(2(3(0(1(0(1(0(1(3(1(4(2(1(x1)))))))))))))))))))) -> 4(1(3(2(1(4(1(0(1(3(3(1(4(4(0(4(2(1(1(2(x1))))))))))))))))))))
   3(1(0(2(3(2(2(4(3(0(2(0(4(2(1(0(2(1(1(1(x1)))))))))))))))))))) -> 1(4(0(1(0(4(1(1(3(4(3(2(4(4(3(2(1(1(2(2(x1))))))))))))))))))))
   3(1(1(1(3(3(0(1(3(4(4(2(2(3(1(3(3(4(1(2(x1)))))))))))))))))))) -> 1(4(1(1(2(1(1(3(4(1(4(2(0(0(2(2(3(2(2(2(x1))))))))))))))))))))
   3(1(1(2(0(3(2(0(4(0(0(4(3(4(3(1(1(2(1(1(x1)))))))))))))))))))) -> 4(2(0(1(2(4(3(4(4(3(3(3(1(1(3(0(4(3(4(2(x1))))))))))))))))))))
   3(1(1(2(4(3(1(2(3(0(1(1(1(2(2(3(1(1(3(2(x1)))))))))))))))))))) -> 4(0(0(1(3(0(1(1(2(4(2(4(3(4(1(4(0(0(0(2(x1))))))))))))))))))))
   3(1(3(2(2(4(1(0(3(1(3(0(2(0(0(0(3(3(2(1(x1)))))))))))))))))))) -> 1(3(0(2(1(3(2(1(4(2(2(2(3(4(4(0(2(4(3(2(x1))))))))))))))))))))
   3(2(0(1(4(3(0(2(0(2(2(3(0(1(4(2(1(1(1(2(x1)))))))))))))))))))) -> 0(3(1(2(2(2(4(0(3(0(0(3(2(4(4(2(4(3(2(1(x1))))))))))))))))))))
   3(2(0(3(4(3(1(1(3(2(0(3(0(0(0(1(4(2(4(1(x1)))))))))))))))))))) -> 3(3(2(0(2(4(3(0(0(3(3(0(1(2(4(1(0(0(2(1(x1))))))))))))))))))))
   3(2(1(0(4(1(2(2(0(3(4(3(2(3(4(1(4(0(1(2(x1)))))))))))))))))))) -> 0(2(4(3(3(2(4(3(3(3(1(2(2(3(4(3(4(3(4(2(x1))))))))))))))))))))
   3(2(1(1(1(4(2(4(0(3(1(3(0(2(3(0(4(0(3(2(x1)))))))))))))))))))) -> 3(0(3(0(4(3(2(2(1(1(4(4(4(3(0(2(4(2(2(2(x1))))))))))))))))))))
   3(2(3(1(0(1(4(2(4(3(1(0(4(1(4(3(3(1(0(2(x1)))))))))))))))))))) -> 0(0(1(2(2(0(4(4(4(1(0(2(4(1(4(4(0(1(1(2(x1))))))))))))))))))))
   3(2(3(3(3(4(1(2(1(2(1(2(1(3(1(1(0(1(4(2(x1)))))))))))))))))))) -> 3(0(1(0(0(4(4(4(4(2(4(4(4(3(0(0(2(1(4(2(x1))))))))))))))))))))
   3(2(4(3(2(2(0(2(3(4(0(1(0(4(3(0(3(0(4(2(x1)))))))))))))))))))) -> 0(1(2(0(4(2(3(1(4(0(1(1(0(0(1(1(0(1(1(2(x1))))))))))))))))))))
   3(3(0(2(0(0(1(3(0(2(2(2(4(0(3(1(1(0(0(2(x1)))))))))))))))))))) -> 4(0(2(1(3(2(4(0(1(4(1(1(0(2(0(0(2(2(4(2(x1))))))))))))))))))))
   3(3(0(4(4(2(4(0(4(0(4(2(0(2(2(2(4(0(3(2(x1)))))))))))))))))))) -> 0(1(0(1(1(1(4(4(0(1(3(2(2(4(1(4(3(4(2(2(x1))))))))))))))))))))
   3(3(3(1(3(4(3(0(3(1(3(2(2(4(0(3(4(2(0(2(x1)))))))))))))))))))) -> 4(0(4(1(0(2(4(3(4(2(3(2(3(3(3(0(1(0(4(2(x1))))))))))))))))))))
   3(3(3(2(1(1(3(3(4(2(4(3(2(2(0(3(0(4(2(2(x1)))))))))))))))))))) -> 1(3(4(2(4(4(4(3(2(4(4(0(3(3(4(0(4(2(2(1(x1))))))))))))))))))))
   3(3(3(4(1(1(4(2(3(0(3(4(4(1(2(3(4(1(4(2(x1)))))))))))))))))))) -> 0(2(4(3(1(2(3(4(1(2(0(1(1(3(3(4(1(0(1(2(x1))))))))))))))))))))
   3(4(0(2(2(1(1(0(3(3(1(3(2(2(2(1(1(2(0(2(x1)))))))))))))))))))) -> 3(0(2(3(4(2(0(2(1(4(0(3(3(2(4(1(2(4(1(2(x1))))))))))))))))))))
   3(4(2(2(4(4(0(3(1(4(1(0(4(0(1(0(2(1(0(2(x1)))))))))))))))))))) -> 0(2(4(1(2(0(3(0(2(3(4(1(1(4(0(3(3(2(4(2(x1))))))))))))))))))))
   3(4(4(2(1(1(4(3(4(3(0(3(3(3(2(2(0(3(1(2(x1)))))))))))))))))))) -> 2(4(0(3(2(3(1(4(3(2(2(2(0(1(0(2(3(2(3(2(x1))))))))))))))))))))
   4(0(1(3(3(2(4(3(3(2(0(0(1(2(3(4(2(3(3(2(x1)))))))))))))))))))) -> 2(4(3(0(3(0(1(4(2(1(4(3(2(1(3(2(3(1(2(2(x1))))))))))))))))))))
   4(0(1(4(1(2(1(3(4(2(4(3(3(2(1(1(4(4(2(2(x1)))))))))))))))))))) -> 4(2(3(4(2(4(1(1(1(2(0(1(1(4(0(0(1(3(2(1(x1))))))))))))))))))))
   4(1(0(2(0(0(0(2(3(4(0(4(2(0(2(0(3(4(3(2(x1)))))))))))))))))))) -> 2(1(1(1(4(2(2(0(0(4(1(2(2(2(0(0(2(4(0(2(x1))))))))))))))))))))
   4(1(1(3(2(3(0(3(3(3(4(2(4(4(4(1(0(2(0(2(x1)))))))))))))))))))) -> 4(4(4(4(1(0(0(3(1(4(0(4(4(0(3(0(1(3(2(2(x1))))))))))))))))))))
   4(1(1(4(4(0(1(2(1(0(0(4(4(2(3(3(3(1(3(2(x1)))))))))))))))))))) -> 3(1(0(4(2(4(4(1(2(4(3(3(2(2(1(4(3(3(4(2(x1))))))))))))))))))))
   4(1(3(4(3(2(2(1(1(2(3(0(4(1(1(3(4(3(4(2(x1)))))))))))))))))))) -> 2(4(2(1(1(4(0(2(3(0(0(4(2(4(4(0(3(3(1(2(x1))))))))))))))))))))
   4(2(1(1(0(1(0(0(2(0(3(2(1(0(0(3(0(1(2(2(x1)))))))))))))))))))) -> 0(0(4(1(0(1(4(2(4(1(0(0(0(1(4(1(3(3(2(1(x1))))))))))))))))))))
   4(2(3(0(3(4(1(1(1(1(0(4(1(1(1(3(4(4(2(2(x1)))))))))))))))))))) -> 2(0(3(3(2(4(4(2(1(1(4(1(1(0(0(2(4(0(0(2(x1))))))))))))))))))))
   4(3(0(3(2(3(0(4(3(1(3(4(2(0(3(4(3(2(2(1(x1)))))))))))))))))))) -> 0(3(4(3(3(2(4(1(0(0(1(0(0(2(0(3(2(0(2(2(x1))))))))))))))))))))
   4(3(1(0(2(1(0(4(4(0(3(1(0(0(3(0(4(3(1(2(x1)))))))))))))))))))) -> 0(1(3(4(0(2(0(0(3(0(0(3(1(2(4(3(1(1(3(2(x1))))))))))))))))))))
   4(3(1(1(2(2(1(3(1(0(0(1(1(0(4(2(3(3(0(2(x1)))))))))))))))))))) -> 0(3(3(1(4(1(1(2(1(2(1(3(1(3(1(4(2(2(4(2(x1))))))))))))))))))))
   4(3(3(0(2(4(1(2(2(3(0(0(2(0(0(1(0(3(1(2(x1)))))))))))))))))))) -> 4(0(2(3(1(1(4(3(3(1(1(4(0(2(3(2(2(0(1(2(x1))))))))))))))))))))
   4(3(4(0(2(4(3(2(3(3(1(3(3(4(2(4(0(4(1(2(x1)))))))))))))))))))) -> 4(4(3(4(1(0(4(4(3(0(2(1(4(2(1(1(4(4(1(2(x1))))))))))))))))))))
   4(4(2(4(0(0(2(3(4(3(3(1(4(2(2(3(1(0(2(1(x1)))))))))))))))))))) -> 4(4(1(4(4(4(1(1(4(0(2(3(2(3(1(2(2(1(2(1(x1))))))))))))))))))))
   4(4(3(1(1(3(4(3(2(3(1(1(0(0(0(0(0(0(2(1(x1)))))))))))))))))))) -> 0(4(0(1(3(0(2(4(3(1(2(2(3(2(0(0(4(4(1(2(x1))))))))))))))))))))
   4(4(3(3(4(0(1(0(1(4(0(0(2(3(3(4(0(0(2(1(x1)))))))))))))))))))) -> 1(0(1(2(0(1(1(1(1(2(0(0(1(4(3(2(2(4(3(2(x1))))))))))))))))))))

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

   encArg(cons_0(x_1)) -> 0(encArg(x_1))
   encArg(cons_1(x_1)) -> 1(encArg(x_1))
   encArg(cons_2(x_1)) -> 2(encArg(x_1))
   encArg(cons_3(x_1)) -> 3(encArg(x_1))
   encArg(cons_4(x_1)) -> 4(encArg(x_1))
   encode_0(x_1) -> 0(encArg(x_1))
   encode_1(x_1) -> 1(encArg(x_1))
   encode_2(x_1) -> 2(encArg(x_1))
   encode_3(x_1) -> 3(encArg(x_1))
   encode_4(x_1) -> 4(encArg(x_1))

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

(5) RelTrsToDecreasingLoopProblemProof (LOWER BOUND(ID))
Transformed a relative TRS into a decreasing-loop problem.
----------------------------------------

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

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


The TRS R consists of the following rules:

   0(0(0(0(1(0(1(2(2(3(3(4(1(2(3(2(3(3(2(2(x1)))))))))))))))))))) -> 0(3(1(0(2(1(0(4(2(4(0(0(1(1(4(2(3(1(0(2(x1))))))))))))))))))))
   0(1(1(1(0(4(1(0(1(2(1(0(1(4(1(1(2(4(4(2(x1)))))))))))))))))))) -> 4(4(1(2(4(0(4(1(0(1(4(2(2(2(3(1(1(4(0(2(x1))))))))))))))))))))
   0(1(1(1(1(2(4(4(0(3(4(4(0(2(0(4(1(1(2(1(x1)))))))))))))))))))) -> 3(1(4(3(2(4(3(3(4(0(0(2(0(3(1(0(1(0(1(2(x1))))))))))))))))))))
   0(1(2(0(4(0(2(0(3(0(2(2(3(2(0(4(3(0(1(2(x1)))))))))))))))))))) -> 1(3(0(2(1(0(0(2(2(0(4(1(2(2(2(3(2(4(2(1(x1))))))))))))))))))))
   0(1(2(2(0(3(1(1(3(2(1(1(1(1(3(4(2(3(0(2(x1)))))))))))))))))))) -> 4(2(4(3(3(2(3(2(4(1(0(2(3(1(4(2(1(4(3(2(x1))))))))))))))))))))
   0(1(3(1(1(2(3(2(4(3(4(1(1(2(3(1(0(4(2(2(x1)))))))))))))))))))) -> 2(2(0(1(1(3(2(0(1(0(2(2(0(4(1(4(2(2(4(2(x1))))))))))))))))))))
   0(1(3(2(3(1(0(0(0(3(3(2(3(3(2(1(0(2(1(2(x1)))))))))))))))))))) -> 0(0(3(4(0(2(2(4(0(4(2(1(3(4(1(3(2(0(2(1(x1))))))))))))))))))))
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   4(1(3(4(3(2(2(1(1(2(3(0(4(1(1(3(4(3(4(2(x1)))))))))))))))))))) -> 2(4(2(1(1(4(0(2(3(0(0(4(2(4(4(0(3(3(1(2(x1))))))))))))))))))))
   4(2(1(1(0(1(0(0(2(0(3(2(1(0(0(3(0(1(2(2(x1)))))))))))))))))))) -> 0(0(4(1(0(1(4(2(4(1(0(0(0(1(4(1(3(3(2(1(x1))))))))))))))))))))
   4(2(3(0(3(4(1(1(1(1(0(4(1(1(1(3(4(4(2(2(x1)))))))))))))))))))) -> 2(0(3(3(2(4(4(2(1(1(4(1(1(0(0(2(4(0(0(2(x1))))))))))))))))))))
   4(3(0(3(2(3(0(4(3(1(3(4(2(0(3(4(3(2(2(1(x1)))))))))))))))))))) -> 0(3(4(3(3(2(4(1(0(0(1(0(0(2(0(3(2(0(2(2(x1))))))))))))))))))))
   4(3(1(0(2(1(0(4(4(0(3(1(0(0(3(0(4(3(1(2(x1)))))))))))))))))))) -> 0(1(3(4(0(2(0(0(3(0(0(3(1(2(4(3(1(1(3(2(x1))))))))))))))))))))
   4(3(1(1(2(2(1(3(1(0(0(1(1(0(4(2(3(3(0(2(x1)))))))))))))))))))) -> 0(3(3(1(4(1(1(2(1(2(1(3(1(3(1(4(2(2(4(2(x1))))))))))))))))))))
   4(3(3(0(2(4(1(2(2(3(0(0(2(0(0(1(0(3(1(2(x1)))))))))))))))))))) -> 4(0(2(3(1(1(4(3(3(1(1(4(0(2(3(2(2(0(1(2(x1))))))))))))))))))))
   4(3(4(0(2(4(3(2(3(3(1(3(3(4(2(4(0(4(1(2(x1)))))))))))))))))))) -> 4(4(3(4(1(0(4(4(3(0(2(1(4(2(1(1(4(4(1(2(x1))))))))))))))))))))
   4(4(2(4(0(0(2(3(4(3(3(1(4(2(2(3(1(0(2(1(x1)))))))))))))))))))) -> 4(4(1(4(4(4(1(1(4(0(2(3(2(3(1(2(2(1(2(1(x1))))))))))))))))))))
   4(4(3(1(1(3(4(3(2(3(1(1(0(0(0(0(0(0(2(1(x1)))))))))))))))))))) -> 0(4(0(1(3(0(2(4(3(1(2(2(3(2(0(0(4(4(1(2(x1))))))))))))))))))))
   4(4(3(3(4(0(1(0(1(4(0(0(2(3(3(4(0(0(2(1(x1)))))))))))))))))))) -> 1(0(1(2(0(1(1(1(1(2(0(0(1(4(3(2(2(4(3(2(x1))))))))))))))))))))

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

   encArg(cons_0(x_1)) -> 0(encArg(x_1))
   encArg(cons_1(x_1)) -> 1(encArg(x_1))
   encArg(cons_2(x_1)) -> 2(encArg(x_1))
   encArg(cons_3(x_1)) -> 3(encArg(x_1))
   encArg(cons_4(x_1)) -> 4(encArg(x_1))
   encode_0(x_1) -> 0(encArg(x_1))
   encode_1(x_1) -> 1(encArg(x_1))
   encode_2(x_1) -> 2(encArg(x_1))
   encode_3(x_1) -> 3(encArg(x_1))
   encode_4(x_1) -> 4(encArg(x_1))

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

(7) RenamingProof (BOTH BOUNDS(ID, ID))
Renamed function symbols to avoid clashes with predefined symbol.
----------------------------------------

(8)
Obligation:
The Runtime Complexity (full) of the given CpxRelTRS could be proven to be BOUNDS(1, INF).


The TRS R consists of the following rules:

   0(0(0(0(1(0(1(2(2(3(3(4(1(2(3(2(3(3(2(2(x1)))))))))))))))))))) -> 0(3(1(0(2(1(0(4(2(4(0(0(1(1(4(2(3(1(0(2(x1))))))))))))))))))))
   0(1(1(1(0(4(1(0(1(2(1(0(1(4(1(1(2(4(4(2(x1)))))))))))))))))))) -> 4(4(1(2(4(0(4(1(0(1(4(2(2(2(3(1(1(4(0(2(x1))))))))))))))))))))
   0(1(1(1(1(2(4(4(0(3(4(4(0(2(0(4(1(1(2(1(x1)))))))))))))))))))) -> 3(1(4(3(2(4(3(3(4(0(0(2(0(3(1(0(1(0(1(2(x1))))))))))))))))))))
   0(1(2(0(4(0(2(0(3(0(2(2(3(2(0(4(3(0(1(2(x1)))))))))))))))))))) -> 1(3(0(2(1(0(0(2(2(0(4(1(2(2(2(3(2(4(2(1(x1))))))))))))))))))))
   0(1(2(2(0(3(1(1(3(2(1(1(1(1(3(4(2(3(0(2(x1)))))))))))))))))))) -> 4(2(4(3(3(2(3(2(4(1(0(2(3(1(4(2(1(4(3(2(x1))))))))))))))))))))
   0(1(3(1(1(2(3(2(4(3(4(1(1(2(3(1(0(4(2(2(x1)))))))))))))))))))) -> 2(2(0(1(1(3(2(0(1(0(2(2(0(4(1(4(2(2(4(2(x1))))))))))))))))))))
   0(1(3(2(3(1(0(0(0(3(3(2(3(3(2(1(0(2(1(2(x1)))))))))))))))))))) -> 0(0(3(4(0(2(2(4(0(4(2(1(3(4(1(3(2(0(2(1(x1))))))))))))))))))))
   0(1(3(3(3(3(0(1(1(2(0(0(4(4(4(3(1(0(0(2(x1)))))))))))))))))))) -> 2(0(2(4(0(2(3(4(2(0(1(0(0(3(4(3(4(0(3(2(x1))))))))))))))))))))
   0(2(0(0(0(4(0(3(1(2(2(4(4(3(3(2(2(2(3(2(x1)))))))))))))))))))) -> 3(1(2(2(4(0(2(3(1(3(4(0(4(1(3(2(3(1(2(1(x1))))))))))))))))))))
   0(2(0(1(2(1(1(0(2(2(0(0(3(4(4(3(1(2(2(1(x1)))))))))))))))))))) -> 3(0(2(2(0(1(4(2(3(3(0(3(0(2(0(2(4(2(0(2(x1))))))))))))))))))))
   0(2(0(2(2(1(3(2(2(0(2(0(0(2(1(0(4(3(3(2(x1)))))))))))))))))))) -> 0(3(3(0(0(4(2(3(0(0(3(1(2(4(2(4(0(0(4(2(x1))))))))))))))))))))
   0(2(1(1(3(3(4(4(0(4(3(3(3(0(0(4(1(2(1(1(x1)))))))))))))))))))) -> 2(2(1(4(4(2(4(3(0(2(3(4(3(0(0(2(2(2(0(2(x1))))))))))))))))))))
   0(2(2(3(4(2(3(2(3(0(1(3(1(3(2(2(2(1(1(2(x1)))))))))))))))))))) -> 4(0(3(2(4(0(1(1(0(2(0(3(0(1(2(3(0(1(2(2(x1))))))))))))))))))))
   0(3(1(0(1(1(2(3(3(1(4(3(3(3(2(1(4(0(2(2(x1)))))))))))))))))))) -> 0(4(4(1(1(4(2(1(0(1(4(2(2(0(0(1(0(1(2(1(x1))))))))))))))))))))
   0(3(3(4(1(4(2(3(2(3(0(4(2(3(3(2(2(2(2(1(x1)))))))))))))))))))) -> 0(4(2(4(4(3(0(0(0(3(3(2(4(4(4(0(0(2(3(2(x1))))))))))))))))))))
   0(3(4(0(2(0(1(2(3(1(0(4(4(3(1(4(1(3(0(2(x1)))))))))))))))))))) -> 4(0(4(4(3(3(0(0(3(4(3(4(0(1(4(1(1(4(3(2(x1))))))))))))))))))))
   0(3(4(3(2(0(1(1(0(2(3(3(2(1(3(1(1(2(3(2(x1)))))))))))))))))))) -> 1(2(2(4(2(4(1(3(1(3(3(0(3(3(0(0(4(3(2(2(x1))))))))))))))))))))
   0(4(0(2(0(1(2(1(4(3(1(4(3(3(1(0(3(3(1(2(x1)))))))))))))))))))) -> 2(1(0(2(2(4(0(1(4(2(3(4(0(1(2(0(2(4(4(2(x1))))))))))))))))))))
   0(4(2(0(0(4(2(3(2(3(4(3(4(4(3(3(2(0(2(2(x1)))))))))))))))))))) -> 4(0(4(4(2(2(1(1(4(3(4(2(0(2(3(1(2(0(1(2(x1))))))))))))))))))))
   0(4(3(2(4(4(3(4(1(3(3(2(3(1(0(1(2(1(2(2(x1)))))))))))))))))))) -> 1(1(4(0(4(1(1(0(0(1(2(4(0(3(2(4(2(0(3(2(x1))))))))))))))))))))
   0(4(4(0(4(3(0(2(1(2(3(2(2(0(2(0(0(2(2(1(x1)))))))))))))))))))) -> 0(2(1(4(0(2(2(2(1(1(4(2(4(0(3(1(2(0(1(2(x1))))))))))))))))))))
   1(0(2(1(3(2(3(1(3(3(4(1(3(2(2(0(1(2(3(2(x1)))))))))))))))))))) -> 3(3(4(0(4(0(1(0(4(0(1(1(4(4(1(3(3(2(0(2(x1))))))))))))))))))))
   1(0(3(0(0(0(2(3(3(0(4(4(4(0(3(1(1(1(2(1(x1)))))))))))))))))))) -> 0(3(2(2(4(3(3(1(0(0(3(3(1(0(3(3(4(4(2(2(x1))))))))))))))))))))
   1(0(3(4(4(4(4(4(1(3(0(1(2(0(2(0(1(1(3(2(x1)))))))))))))))))))) -> 0(1(3(2(1(3(4(1(4(2(4(0(2(4(2(3(0(0(2(1(x1))))))))))))))))))))
   1(0(4(1(4(1(2(2(0(0(0(4(0(1(1(2(3(3(3(2(x1)))))))))))))))))))) -> 2(2(2(2(4(0(2(3(1(0(2(2(1(4(0(4(1(1(1(2(x1))))))))))))))))))))
   1(1(0(3(4(3(2(3(2(3(4(3(2(1(4(4(2(3(0(2(x1)))))))))))))))))))) -> 0(3(0(3(4(0(0(1(0(2(1(2(4(0(3(0(3(0(2(2(x1))))))))))))))))))))
   1(1(2(3(0(3(4(2(1(2(4(0(3(2(3(4(4(4(3(2(x1)))))))))))))))))))) -> 3(4(2(1(1(1(4(4(0(0(0(3(0(4(1(4(3(2(4(2(x1))))))))))))))))))))
   1(1(3(4(0(1(4(2(0(3(4(4(0(0(3(0(1(2(3(2(x1)))))))))))))))))))) -> 3(0(4(1(1(4(0(4(1(2(1(4(2(0(4(4(3(3(2(2(x1))))))))))))))))))))
   1(2(0(4(1(4(3(0(0(0(3(2(4(4(1(3(0(2(3(2(x1)))))))))))))))))))) -> 1(3(2(2(0(3(2(0(0(2(4(0(1(4(2(0(2(0(1(2(x1))))))))))))))))))))
   1(2(2(1(0(3(2(4(4(1(4(0(0(0(3(1(3(3(2(1(x1)))))))))))))))))))) -> 1(4(0(0(3(1(2(0(0(3(0(1(4(4(3(2(4(2(1(1(x1))))))))))))))))))))
   1(2(3(4(2(4(2(3(2(0(2(1(0(2(2(0(4(2(0(2(x1)))))))))))))))))))) -> 1(1(1(4(0(4(4(0(0(0(2(1(3(4(0(2(4(0(0(2(x1))))))))))))))))))))
   1(2(4(4(4(3(1(0(0(2(0(0(4(0(4(4(3(1(0(2(x1)))))))))))))))))))) -> 1(2(4(3(0(1(1(0(0(2(0(1(1(3(2(1(4(1(0(2(x1))))))))))))))))))))
   1(3(0(1(3(2(0(4(0(2(0(4(2(0(4(0(2(4(0(2(x1)))))))))))))))))))) -> 4(3(0(3(2(2(1(3(4(0(1(0(1(2(0(1(1(4(4(2(x1))))))))))))))))))))
   1(3(3(1(0(0(1(1(3(2(3(0(0(0(1(1(1(1(0(2(x1)))))))))))))))))))) -> 1(3(0(4(1(1(4(3(4(2(4(4(3(3(3(2(0(2(2(1(x1))))))))))))))))))))
   1(4(0(2(3(0(0(4(4(1(0(0(1(0(2(2(1(1(3(2(x1)))))))))))))))))))) -> 4(2(4(1(4(0(3(0(4(3(0(3(3(1(3(0(2(1(2(1(x1))))))))))))))))))))
   1(4(1(3(1(1(0(0(0(0(4(3(0(0(2(0(2(1(1(1(x1)))))))))))))))))))) -> 2(1(4(2(0(0(3(3(4(3(0(2(4(1(0(2(4(4(2(1(x1))))))))))))))))))))
   2(0(0(1(2(3(2(3(0(1(2(4(2(2(1(0(0(3(2(1(x1)))))))))))))))))))) -> 2(4(0(1(1(2(3(0(0(4(3(0(1(0(4(2(4(3(4(2(x1))))))))))))))))))))
   2(0(1(1(0(0(4(2(3(1(0(2(3(0(3(4(0(3(3(2(x1)))))))))))))))))))) -> 3(4(1(3(2(0(3(0(4(1(2(4(0(4(4(1(3(2(0(2(x1))))))))))))))))))))
   2(0(1(2(0(1(0(1(0(4(3(1(4(4(4(0(2(3(3(2(x1)))))))))))))))))))) -> 4(1(0(0(1(3(2(0(2(4(1(0(4(0(2(0(3(0(2(2(x1))))))))))))))))))))
   2(0(1(2(0(1(3(2(2(0(4(3(2(2(4(3(0(1(2(1(x1)))))))))))))))))))) -> 0(2(2(4(1(4(4(3(1(1(2(4(3(1(2(0(1(2(1(2(x1))))))))))))))))))))
   2(0(2(1(3(3(4(0(1(1(2(0(3(1(3(0(1(2(1(2(x1)))))))))))))))))))) -> 2(2(2(0(1(1(4(3(2(0(2(3(3(3(1(1(2(2(4(2(x1))))))))))))))))))))
   2(0(4(3(4(0(2(1(3(2(0(3(2(0(1(0(4(4(2(2(x1)))))))))))))))))))) -> 4(0(3(2(4(0(1(1(2(4(0(4(4(0(4(2(3(2(2(2(x1))))))))))))))))))))
   2(0(4(4(0(3(3(2(4(0(1(4(2(4(4(4(2(2(2(2(x1)))))))))))))))))))) -> 0(2(2(0(1(0(4(3(0(2(4(2(2(4(3(3(1(3(1(2(x1))))))))))))))))))))
   2(0(4(4(2(1(3(3(3(2(0(0(2(3(3(1(4(2(3(2(x1)))))))))))))))))))) -> 0(0(2(1(2(1(2(0(2(4(1(4(1(3(0(1(2(0(3(2(x1))))))))))))))))))))
   2(1(0(1(0(4(2(1(1(1(3(0(4(2(2(0(2(3(2(2(x1)))))))))))))))))))) -> 3(2(0(3(1(3(1(2(1(2(1(1(1(3(1(1(4(1(3(2(x1))))))))))))))))))))
   2(1(0(3(1(4(4(0(4(3(0(4(3(3(4(1(2(3(4(2(x1)))))))))))))))))))) -> 1(4(1(4(4(2(2(0(2(3(1(0(1(3(0(0(2(0(2(1(x1))))))))))))))))))))
   2(1(2(0(3(1(4(2(3(0(1(1(4(4(2(0(4(3(2(1(x1)))))))))))))))))))) -> 1(2(3(4(0(1(4(3(1(1(1(4(1(4(0(0(2(1(4(2(x1))))))))))))))))))))
   2(1(2(3(3(2(2(1(2(3(3(2(0(4(3(4(1(0(1(2(x1)))))))))))))))))))) -> 3(4(1(4(0(2(0(1(2(0(4(4(1(0(2(4(1(1(1(2(x1))))))))))))))))))))
   2(1(2(3(4(4(0(2(3(2(0(3(2(4(4(4(2(4(2(2(x1)))))))))))))))))))) -> 1(1(3(3(1(3(3(2(2(1(4(1(2(2(4(1(2(2(3(2(x1))))))))))))))))))))
   2(1(3(4(1(3(3(4(2(0(0(1(0(1(2(0(1(0(4(2(x1)))))))))))))))))))) -> 2(1(1(2(1(1(0(1(4(0(1(3(2(1(2(4(0(1(2(2(x1))))))))))))))))))))
   2(2(1(0(1(1(2(0(2(2(0(2(2(1(3(0(4(4(1(2(x1)))))))))))))))))))) -> 1(2(1(2(4(0(2(1(2(0(3(1(1(2(2(4(4(3(1(2(x1))))))))))))))))))))
   2(2(1(2(3(3(2(0(3(0(2(0(4(2(4(1(2(3(0(2(x1)))))))))))))))))))) -> 0(4(1(0(2(2(1(0(3(3(4(2(1(4(1(2(1(4(1(2(x1))))))))))))))))))))
   2(2(2(1(4(3(0(3(2(4(0(4(0(4(1(0(4(2(2(1(x1)))))))))))))))))))) -> 1(1(4(2(4(4(2(1(2(0(3(2(1(4(3(1(3(2(4(2(x1))))))))))))))))))))
   2(3(2(0(0(1(0(3(3(1(4(1(3(0(0(3(2(3(4(2(x1)))))))))))))))))))) -> 1(2(4(4(0(1(1(4(4(4(2(2(4(4(3(2(0(3(4(2(x1))))))))))))))))))))
   2(3(4(2(2(3(3(4(3(2(0(2(1(0(2(1(4(1(3(2(x1)))))))))))))))))))) -> 1(4(0(4(1(3(1(1(1(1(3(0(1(0(4(1(4(2(1(1(x1))))))))))))))))))))
   2(4(0(3(4(1(1(4(0(2(2(2(3(4(4(3(3(3(0(2(x1)))))))))))))))))))) -> 0(1(0(0(1(1(4(3(3(0(4(2(4(1(1(3(2(2(2(2(x1))))))))))))))))))))
   2(4(0(4(3(1(2(1(2(2(3(0(1(0(1(3(1(3(3(2(x1)))))))))))))))))))) -> 0(2(4(4(1(4(1(4(2(2(2(4(3(3(3(1(1(0(1(2(x1))))))))))))))))))))
   2(4(2(0(3(2(2(4(4(3(0(1(0(3(2(3(2(2(4(2(x1)))))))))))))))))))) -> 3(0(4(0(2(4(1(0(3(2(3(0(0(2(4(2(4(1(0(2(x1))))))))))))))))))))
   2(4(4(0(2(4(2(2(3(1(0(2(0(0(1(1(4(2(2(1(x1)))))))))))))))))))) -> 0(2(4(1(4(4(0(2(4(1(1(4(1(3(3(0(3(2(1(2(x1))))))))))))))))))))
   3(0(1(2(3(0(1(2(2(2(0(2(3(3(3(4(3(3(2(1(x1)))))))))))))))))))) -> 0(2(3(1(3(1(0(1(2(1(1(1(1(3(3(4(4(0(3(2(x1))))))))))))))))))))
   3(0(2(3(3(2(0(2(0(1(2(4(3(3(1(4(4(0(2(1(x1)))))))))))))))))))) -> 2(0(2(1(1(1(3(3(0(4(2(4(3(0(1(1(1(4(1(2(x1))))))))))))))))))))
   3(0(3(0(0(0(2(0(1(2(2(4(0(1(2(0(3(2(2(2(x1)))))))))))))))))))) -> 4(4(2(4(4(2(4(1(4(4(2(0(3(2(1(4(4(2(4(2(x1))))))))))))))))))))
   3(0(4(3(2(3(3(2(3(0(1(0(1(0(1(3(1(4(2(1(x1)))))))))))))))))))) -> 4(1(3(2(1(4(1(0(1(3(3(1(4(4(0(4(2(1(1(2(x1))))))))))))))))))))
   3(1(0(2(3(2(2(4(3(0(2(0(4(2(1(0(2(1(1(1(x1)))))))))))))))))))) -> 1(4(0(1(0(4(1(1(3(4(3(2(4(4(3(2(1(1(2(2(x1))))))))))))))))))))
   3(1(1(1(3(3(0(1(3(4(4(2(2(3(1(3(3(4(1(2(x1)))))))))))))))))))) -> 1(4(1(1(2(1(1(3(4(1(4(2(0(0(2(2(3(2(2(2(x1))))))))))))))))))))
   3(1(1(2(0(3(2(0(4(0(0(4(3(4(3(1(1(2(1(1(x1)))))))))))))))))))) -> 4(2(0(1(2(4(3(4(4(3(3(3(1(1(3(0(4(3(4(2(x1))))))))))))))))))))
   3(1(1(2(4(3(1(2(3(0(1(1(1(2(2(3(1(1(3(2(x1)))))))))))))))))))) -> 4(0(0(1(3(0(1(1(2(4(2(4(3(4(1(4(0(0(0(2(x1))))))))))))))))))))
   3(1(3(2(2(4(1(0(3(1(3(0(2(0(0(0(3(3(2(1(x1)))))))))))))))))))) -> 1(3(0(2(1(3(2(1(4(2(2(2(3(4(4(0(2(4(3(2(x1))))))))))))))))))))
   3(2(0(1(4(3(0(2(0(2(2(3(0(1(4(2(1(1(1(2(x1)))))))))))))))))))) -> 0(3(1(2(2(2(4(0(3(0(0(3(2(4(4(2(4(3(2(1(x1))))))))))))))))))))
   3(2(0(3(4(3(1(1(3(2(0(3(0(0(0(1(4(2(4(1(x1)))))))))))))))))))) -> 3(3(2(0(2(4(3(0(0(3(3(0(1(2(4(1(0(0(2(1(x1))))))))))))))))))))
   3(2(1(0(4(1(2(2(0(3(4(3(2(3(4(1(4(0(1(2(x1)))))))))))))))))))) -> 0(2(4(3(3(2(4(3(3(3(1(2(2(3(4(3(4(3(4(2(x1))))))))))))))))))))
   3(2(1(1(1(4(2(4(0(3(1(3(0(2(3(0(4(0(3(2(x1)))))))))))))))))))) -> 3(0(3(0(4(3(2(2(1(1(4(4(4(3(0(2(4(2(2(2(x1))))))))))))))))))))
   3(2(3(1(0(1(4(2(4(3(1(0(4(1(4(3(3(1(0(2(x1)))))))))))))))))))) -> 0(0(1(2(2(0(4(4(4(1(0(2(4(1(4(4(0(1(1(2(x1))))))))))))))))))))
   3(2(3(3(3(4(1(2(1(2(1(2(1(3(1(1(0(1(4(2(x1)))))))))))))))))))) -> 3(0(1(0(0(4(4(4(4(2(4(4(4(3(0(0(2(1(4(2(x1))))))))))))))))))))
   3(2(4(3(2(2(0(2(3(4(0(1(0(4(3(0(3(0(4(2(x1)))))))))))))))))))) -> 0(1(2(0(4(2(3(1(4(0(1(1(0(0(1(1(0(1(1(2(x1))))))))))))))))))))
   3(3(0(2(0(0(1(3(0(2(2(2(4(0(3(1(1(0(0(2(x1)))))))))))))))))))) -> 4(0(2(1(3(2(4(0(1(4(1(1(0(2(0(0(2(2(4(2(x1))))))))))))))))))))
   3(3(0(4(4(2(4(0(4(0(4(2(0(2(2(2(4(0(3(2(x1)))))))))))))))))))) -> 0(1(0(1(1(1(4(4(0(1(3(2(2(4(1(4(3(4(2(2(x1))))))))))))))))))))
   3(3(3(1(3(4(3(0(3(1(3(2(2(4(0(3(4(2(0(2(x1)))))))))))))))))))) -> 4(0(4(1(0(2(4(3(4(2(3(2(3(3(3(0(1(0(4(2(x1))))))))))))))))))))
   3(3(3(2(1(1(3(3(4(2(4(3(2(2(0(3(0(4(2(2(x1)))))))))))))))))))) -> 1(3(4(2(4(4(4(3(2(4(4(0(3(3(4(0(4(2(2(1(x1))))))))))))))))))))
   3(3(3(4(1(1(4(2(3(0(3(4(4(1(2(3(4(1(4(2(x1)))))))))))))))))))) -> 0(2(4(3(1(2(3(4(1(2(0(1(1(3(3(4(1(0(1(2(x1))))))))))))))))))))
   3(4(0(2(2(1(1(0(3(3(1(3(2(2(2(1(1(2(0(2(x1)))))))))))))))))))) -> 3(0(2(3(4(2(0(2(1(4(0(3(3(2(4(1(2(4(1(2(x1))))))))))))))))))))
   3(4(2(2(4(4(0(3(1(4(1(0(4(0(1(0(2(1(0(2(x1)))))))))))))))))))) -> 0(2(4(1(2(0(3(0(2(3(4(1(1(4(0(3(3(2(4(2(x1))))))))))))))))))))
   3(4(4(2(1(1(4(3(4(3(0(3(3(3(2(2(0(3(1(2(x1)))))))))))))))))))) -> 2(4(0(3(2(3(1(4(3(2(2(2(0(1(0(2(3(2(3(2(x1))))))))))))))))))))
   4(0(1(3(3(2(4(3(3(2(0(0(1(2(3(4(2(3(3(2(x1)))))))))))))))))))) -> 2(4(3(0(3(0(1(4(2(1(4(3(2(1(3(2(3(1(2(2(x1))))))))))))))))))))
   4(0(1(4(1(2(1(3(4(2(4(3(3(2(1(1(4(4(2(2(x1)))))))))))))))))))) -> 4(2(3(4(2(4(1(1(1(2(0(1(1(4(0(0(1(3(2(1(x1))))))))))))))))))))
   4(1(0(2(0(0(0(2(3(4(0(4(2(0(2(0(3(4(3(2(x1)))))))))))))))))))) -> 2(1(1(1(4(2(2(0(0(4(1(2(2(2(0(0(2(4(0(2(x1))))))))))))))))))))
   4(1(1(3(2(3(0(3(3(3(4(2(4(4(4(1(0(2(0(2(x1)))))))))))))))))))) -> 4(4(4(4(1(0(0(3(1(4(0(4(4(0(3(0(1(3(2(2(x1))))))))))))))))))))
   4(1(1(4(4(0(1(2(1(0(0(4(4(2(3(3(3(1(3(2(x1)))))))))))))))))))) -> 3(1(0(4(2(4(4(1(2(4(3(3(2(2(1(4(3(3(4(2(x1))))))))))))))))))))
   4(1(3(4(3(2(2(1(1(2(3(0(4(1(1(3(4(3(4(2(x1)))))))))))))))))))) -> 2(4(2(1(1(4(0(2(3(0(0(4(2(4(4(0(3(3(1(2(x1))))))))))))))))))))
   4(2(1(1(0(1(0(0(2(0(3(2(1(0(0(3(0(1(2(2(x1)))))))))))))))))))) -> 0(0(4(1(0(1(4(2(4(1(0(0(0(1(4(1(3(3(2(1(x1))))))))))))))))))))
   4(2(3(0(3(4(1(1(1(1(0(4(1(1(1(3(4(4(2(2(x1)))))))))))))))))))) -> 2(0(3(3(2(4(4(2(1(1(4(1(1(0(0(2(4(0(0(2(x1))))))))))))))))))))
   4(3(0(3(2(3(0(4(3(1(3(4(2(0(3(4(3(2(2(1(x1)))))))))))))))))))) -> 0(3(4(3(3(2(4(1(0(0(1(0(0(2(0(3(2(0(2(2(x1))))))))))))))))))))
   4(3(1(0(2(1(0(4(4(0(3(1(0(0(3(0(4(3(1(2(x1)))))))))))))))))))) -> 0(1(3(4(0(2(0(0(3(0(0(3(1(2(4(3(1(1(3(2(x1))))))))))))))))))))
   4(3(1(1(2(2(1(3(1(0(0(1(1(0(4(2(3(3(0(2(x1)))))))))))))))))))) -> 0(3(3(1(4(1(1(2(1(2(1(3(1(3(1(4(2(2(4(2(x1))))))))))))))))))))
   4(3(3(0(2(4(1(2(2(3(0(0(2(0(0(1(0(3(1(2(x1)))))))))))))))))))) -> 4(0(2(3(1(1(4(3(3(1(1(4(0(2(3(2(2(0(1(2(x1))))))))))))))))))))
   4(3(4(0(2(4(3(2(3(3(1(3(3(4(2(4(0(4(1(2(x1)))))))))))))))))))) -> 4(4(3(4(1(0(4(4(3(0(2(1(4(2(1(1(4(4(1(2(x1))))))))))))))))))))
   4(4(2(4(0(0(2(3(4(3(3(1(4(2(2(3(1(0(2(1(x1)))))))))))))))))))) -> 4(4(1(4(4(4(1(1(4(0(2(3(2(3(1(2(2(1(2(1(x1))))))))))))))))))))
   4(4(3(1(1(3(4(3(2(3(1(1(0(0(0(0(0(0(2(1(x1)))))))))))))))))))) -> 0(4(0(1(3(0(2(4(3(1(2(2(3(2(0(0(4(4(1(2(x1))))))))))))))))))))
   4(4(3(3(4(0(1(0(1(4(0(0(2(3(3(4(0(0(2(1(x1)))))))))))))))))))) -> 1(0(1(2(0(1(1(1(1(2(0(0(1(4(3(2(2(4(3(2(x1))))))))))))))))))))

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

   encArg(cons_0(x_1)) -> 0(encArg(x_1))
   encArg(cons_1(x_1)) -> 1(encArg(x_1))
   encArg(cons_2(x_1)) -> 2(encArg(x_1))
   encArg(cons_3(x_1)) -> 3(encArg(x_1))
   encArg(cons_4(x_1)) -> 4(encArg(x_1))
   encode_0(x_1) -> 0(encArg(x_1))
   encode_1(x_1) -> 1(encArg(x_1))
   encode_2(x_1) -> 2(encArg(x_1))
   encode_3(x_1) -> 3(encArg(x_1))
   encode_4(x_1) -> 4(encArg(x_1))

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

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

(10)
Obligation:
TRS:
Rules:
0(0(0(0(1(0(1(2(2(3(3(4(1(2(3(2(3(3(2(2(x1)))))))))))))))))))) -> 0(3(1(0(2(1(0(4(2(4(0(0(1(1(4(2(3(1(0(2(x1))))))))))))))))))))
0(1(1(1(0(4(1(0(1(2(1(0(1(4(1(1(2(4(4(2(x1)))))))))))))))))))) -> 4(4(1(2(4(0(4(1(0(1(4(2(2(2(3(1(1(4(0(2(x1))))))))))))))))))))
0(1(1(1(1(2(4(4(0(3(4(4(0(2(0(4(1(1(2(1(x1)))))))))))))))))))) -> 3(1(4(3(2(4(3(3(4(0(0(2(0(3(1(0(1(0(1(2(x1))))))))))))))))))))
0(1(2(0(4(0(2(0(3(0(2(2(3(2(0(4(3(0(1(2(x1)))))))))))))))))))) -> 1(3(0(2(1(0(0(2(2(0(4(1(2(2(2(3(2(4(2(1(x1))))))))))))))))))))
0(1(2(2(0(3(1(1(3(2(1(1(1(1(3(4(2(3(0(2(x1)))))))))))))))))))) -> 4(2(4(3(3(2(3(2(4(1(0(2(3(1(4(2(1(4(3(2(x1))))))))))))))))))))
0(1(3(1(1(2(3(2(4(3(4(1(1(2(3(1(0(4(2(2(x1)))))))))))))))))))) -> 2(2(0(1(1(3(2(0(1(0(2(2(0(4(1(4(2(2(4(2(x1))))))))))))))))))))
0(1(3(2(3(1(0(0(0(3(3(2(3(3(2(1(0(2(1(2(x1)))))))))))))))))))) -> 0(0(3(4(0(2(2(4(0(4(2(1(3(4(1(3(2(0(2(1(x1))))))))))))))))))))
0(1(3(3(3(3(0(1(1(2(0(0(4(4(4(3(1(0(0(2(x1)))))))))))))))))))) -> 2(0(2(4(0(2(3(4(2(0(1(0(0(3(4(3(4(0(3(2(x1))))))))))))))))))))
0(2(0(0(0(4(0(3(1(2(2(4(4(3(3(2(2(2(3(2(x1)))))))))))))))))))) -> 3(1(2(2(4(0(2(3(1(3(4(0(4(1(3(2(3(1(2(1(x1))))))))))))))))))))
0(2(0(1(2(1(1(0(2(2(0(0(3(4(4(3(1(2(2(1(x1)))))))))))))))))))) -> 3(0(2(2(0(1(4(2(3(3(0(3(0(2(0(2(4(2(0(2(x1))))))))))))))))))))
0(2(0(2(2(1(3(2(2(0(2(0(0(2(1(0(4(3(3(2(x1)))))))))))))))))))) -> 0(3(3(0(0(4(2(3(0(0(3(1(2(4(2(4(0(0(4(2(x1))))))))))))))))))))
0(2(1(1(3(3(4(4(0(4(3(3(3(0(0(4(1(2(1(1(x1)))))))))))))))))))) -> 2(2(1(4(4(2(4(3(0(2(3(4(3(0(0(2(2(2(0(2(x1))))))))))))))))))))
0(2(2(3(4(2(3(2(3(0(1(3(1(3(2(2(2(1(1(2(x1)))))))))))))))))))) -> 4(0(3(2(4(0(1(1(0(2(0(3(0(1(2(3(0(1(2(2(x1))))))))))))))))))))
0(3(1(0(1(1(2(3(3(1(4(3(3(3(2(1(4(0(2(2(x1)))))))))))))))))))) -> 0(4(4(1(1(4(2(1(0(1(4(2(2(0(0(1(0(1(2(1(x1))))))))))))))))))))
0(3(3(4(1(4(2(3(2(3(0(4(2(3(3(2(2(2(2(1(x1)))))))))))))))))))) -> 0(4(2(4(4(3(0(0(0(3(3(2(4(4(4(0(0(2(3(2(x1))))))))))))))))))))
0(3(4(0(2(0(1(2(3(1(0(4(4(3(1(4(1(3(0(2(x1)))))))))))))))))))) -> 4(0(4(4(3(3(0(0(3(4(3(4(0(1(4(1(1(4(3(2(x1))))))))))))))))))))
0(3(4(3(2(0(1(1(0(2(3(3(2(1(3(1(1(2(3(2(x1)))))))))))))))))))) -> 1(2(2(4(2(4(1(3(1(3(3(0(3(3(0(0(4(3(2(2(x1))))))))))))))))))))
0(4(0(2(0(1(2(1(4(3(1(4(3(3(1(0(3(3(1(2(x1)))))))))))))))))))) -> 2(1(0(2(2(4(0(1(4(2(3(4(0(1(2(0(2(4(4(2(x1))))))))))))))))))))
0(4(2(0(0(4(2(3(2(3(4(3(4(4(3(3(2(0(2(2(x1)))))))))))))))))))) -> 4(0(4(4(2(2(1(1(4(3(4(2(0(2(3(1(2(0(1(2(x1))))))))))))))))))))
0(4(3(2(4(4(3(4(1(3(3(2(3(1(0(1(2(1(2(2(x1)))))))))))))))))))) -> 1(1(4(0(4(1(1(0(0(1(2(4(0(3(2(4(2(0(3(2(x1))))))))))))))))))))
0(4(4(0(4(3(0(2(1(2(3(2(2(0(2(0(0(2(2(1(x1)))))))))))))))))))) -> 0(2(1(4(0(2(2(2(1(1(4(2(4(0(3(1(2(0(1(2(x1))))))))))))))))))))
1(0(2(1(3(2(3(1(3(3(4(1(3(2(2(0(1(2(3(2(x1)))))))))))))))))))) -> 3(3(4(0(4(0(1(0(4(0(1(1(4(4(1(3(3(2(0(2(x1))))))))))))))))))))
1(0(3(0(0(0(2(3(3(0(4(4(4(0(3(1(1(1(2(1(x1)))))))))))))))))))) -> 0(3(2(2(4(3(3(1(0(0(3(3(1(0(3(3(4(4(2(2(x1))))))))))))))))))))
1(0(3(4(4(4(4(4(1(3(0(1(2(0(2(0(1(1(3(2(x1)))))))))))))))))))) -> 0(1(3(2(1(3(4(1(4(2(4(0(2(4(2(3(0(0(2(1(x1))))))))))))))))))))
1(0(4(1(4(1(2(2(0(0(0(4(0(1(1(2(3(3(3(2(x1)))))))))))))))))))) -> 2(2(2(2(4(0(2(3(1(0(2(2(1(4(0(4(1(1(1(2(x1))))))))))))))))))))
1(1(0(3(4(3(2(3(2(3(4(3(2(1(4(4(2(3(0(2(x1)))))))))))))))))))) -> 0(3(0(3(4(0(0(1(0(2(1(2(4(0(3(0(3(0(2(2(x1))))))))))))))))))))
1(1(2(3(0(3(4(2(1(2(4(0(3(2(3(4(4(4(3(2(x1)))))))))))))))))))) -> 3(4(2(1(1(1(4(4(0(0(0(3(0(4(1(4(3(2(4(2(x1))))))))))))))))))))
1(1(3(4(0(1(4(2(0(3(4(4(0(0(3(0(1(2(3(2(x1)))))))))))))))))))) -> 3(0(4(1(1(4(0(4(1(2(1(4(2(0(4(4(3(3(2(2(x1))))))))))))))))))))
1(2(0(4(1(4(3(0(0(0(3(2(4(4(1(3(0(2(3(2(x1)))))))))))))))))))) -> 1(3(2(2(0(3(2(0(0(2(4(0(1(4(2(0(2(0(1(2(x1))))))))))))))))))))
1(2(2(1(0(3(2(4(4(1(4(0(0(0(3(1(3(3(2(1(x1)))))))))))))))))))) -> 1(4(0(0(3(1(2(0(0(3(0(1(4(4(3(2(4(2(1(1(x1))))))))))))))))))))
1(2(3(4(2(4(2(3(2(0(2(1(0(2(2(0(4(2(0(2(x1)))))))))))))))))))) -> 1(1(1(4(0(4(4(0(0(0(2(1(3(4(0(2(4(0(0(2(x1))))))))))))))))))))
1(2(4(4(4(3(1(0(0(2(0(0(4(0(4(4(3(1(0(2(x1)))))))))))))))))))) -> 1(2(4(3(0(1(1(0(0(2(0(1(1(3(2(1(4(1(0(2(x1))))))))))))))))))))
1(3(0(1(3(2(0(4(0(2(0(4(2(0(4(0(2(4(0(2(x1)))))))))))))))))))) -> 4(3(0(3(2(2(1(3(4(0(1(0(1(2(0(1(1(4(4(2(x1))))))))))))))))))))
1(3(3(1(0(0(1(1(3(2(3(0(0(0(1(1(1(1(0(2(x1)))))))))))))))))))) -> 1(3(0(4(1(1(4(3(4(2(4(4(3(3(3(2(0(2(2(1(x1))))))))))))))))))))
1(4(0(2(3(0(0(4(4(1(0(0(1(0(2(2(1(1(3(2(x1)))))))))))))))))))) -> 4(2(4(1(4(0(3(0(4(3(0(3(3(1(3(0(2(1(2(1(x1))))))))))))))))))))
1(4(1(3(1(1(0(0(0(0(4(3(0(0(2(0(2(1(1(1(x1)))))))))))))))))))) -> 2(1(4(2(0(0(3(3(4(3(0(2(4(1(0(2(4(4(2(1(x1))))))))))))))))))))
2(0(0(1(2(3(2(3(0(1(2(4(2(2(1(0(0(3(2(1(x1)))))))))))))))))))) -> 2(4(0(1(1(2(3(0(0(4(3(0(1(0(4(2(4(3(4(2(x1))))))))))))))))))))
2(0(1(1(0(0(4(2(3(1(0(2(3(0(3(4(0(3(3(2(x1)))))))))))))))))))) -> 3(4(1(3(2(0(3(0(4(1(2(4(0(4(4(1(3(2(0(2(x1))))))))))))))))))))
2(0(1(2(0(1(0(1(0(4(3(1(4(4(4(0(2(3(3(2(x1)))))))))))))))))))) -> 4(1(0(0(1(3(2(0(2(4(1(0(4(0(2(0(3(0(2(2(x1))))))))))))))))))))
2(0(1(2(0(1(3(2(2(0(4(3(2(2(4(3(0(1(2(1(x1)))))))))))))))))))) -> 0(2(2(4(1(4(4(3(1(1(2(4(3(1(2(0(1(2(1(2(x1))))))))))))))))))))
2(0(2(1(3(3(4(0(1(1(2(0(3(1(3(0(1(2(1(2(x1)))))))))))))))))))) -> 2(2(2(0(1(1(4(3(2(0(2(3(3(3(1(1(2(2(4(2(x1))))))))))))))))))))
2(0(4(3(4(0(2(1(3(2(0(3(2(0(1(0(4(4(2(2(x1)))))))))))))))))))) -> 4(0(3(2(4(0(1(1(2(4(0(4(4(0(4(2(3(2(2(2(x1))))))))))))))))))))
2(0(4(4(0(3(3(2(4(0(1(4(2(4(4(4(2(2(2(2(x1)))))))))))))))))))) -> 0(2(2(0(1(0(4(3(0(2(4(2(2(4(3(3(1(3(1(2(x1))))))))))))))))))))
2(0(4(4(2(1(3(3(3(2(0(0(2(3(3(1(4(2(3(2(x1)))))))))))))))))))) -> 0(0(2(1(2(1(2(0(2(4(1(4(1(3(0(1(2(0(3(2(x1))))))))))))))))))))
2(1(0(1(0(4(2(1(1(1(3(0(4(2(2(0(2(3(2(2(x1)))))))))))))))))))) -> 3(2(0(3(1(3(1(2(1(2(1(1(1(3(1(1(4(1(3(2(x1))))))))))))))))))))
2(1(0(3(1(4(4(0(4(3(0(4(3(3(4(1(2(3(4(2(x1)))))))))))))))))))) -> 1(4(1(4(4(2(2(0(2(3(1(0(1(3(0(0(2(0(2(1(x1))))))))))))))))))))
2(1(2(0(3(1(4(2(3(0(1(1(4(4(2(0(4(3(2(1(x1)))))))))))))))))))) -> 1(2(3(4(0(1(4(3(1(1(1(4(1(4(0(0(2(1(4(2(x1))))))))))))))))))))
2(1(2(3(3(2(2(1(2(3(3(2(0(4(3(4(1(0(1(2(x1)))))))))))))))))))) -> 3(4(1(4(0(2(0(1(2(0(4(4(1(0(2(4(1(1(1(2(x1))))))))))))))))))))
2(1(2(3(4(4(0(2(3(2(0(3(2(4(4(4(2(4(2(2(x1)))))))))))))))))))) -> 1(1(3(3(1(3(3(2(2(1(4(1(2(2(4(1(2(2(3(2(x1))))))))))))))))))))
2(1(3(4(1(3(3(4(2(0(0(1(0(1(2(0(1(0(4(2(x1)))))))))))))))))))) -> 2(1(1(2(1(1(0(1(4(0(1(3(2(1(2(4(0(1(2(2(x1))))))))))))))))))))
2(2(1(0(1(1(2(0(2(2(0(2(2(1(3(0(4(4(1(2(x1)))))))))))))))))))) -> 1(2(1(2(4(0(2(1(2(0(3(1(1(2(2(4(4(3(1(2(x1))))))))))))))))))))
2(2(1(2(3(3(2(0(3(0(2(0(4(2(4(1(2(3(0(2(x1)))))))))))))))))))) -> 0(4(1(0(2(2(1(0(3(3(4(2(1(4(1(2(1(4(1(2(x1))))))))))))))))))))
2(2(2(1(4(3(0(3(2(4(0(4(0(4(1(0(4(2(2(1(x1)))))))))))))))))))) -> 1(1(4(2(4(4(2(1(2(0(3(2(1(4(3(1(3(2(4(2(x1))))))))))))))))))))
2(3(2(0(0(1(0(3(3(1(4(1(3(0(0(3(2(3(4(2(x1)))))))))))))))))))) -> 1(2(4(4(0(1(1(4(4(4(2(2(4(4(3(2(0(3(4(2(x1))))))))))))))))))))
2(3(4(2(2(3(3(4(3(2(0(2(1(0(2(1(4(1(3(2(x1)))))))))))))))))))) -> 1(4(0(4(1(3(1(1(1(1(3(0(1(0(4(1(4(2(1(1(x1))))))))))))))))))))
2(4(0(3(4(1(1(4(0(2(2(2(3(4(4(3(3(3(0(2(x1)))))))))))))))))))) -> 0(1(0(0(1(1(4(3(3(0(4(2(4(1(1(3(2(2(2(2(x1))))))))))))))))))))
2(4(0(4(3(1(2(1(2(2(3(0(1(0(1(3(1(3(3(2(x1)))))))))))))))))))) -> 0(2(4(4(1(4(1(4(2(2(2(4(3(3(3(1(1(0(1(2(x1))))))))))))))))))))
2(4(2(0(3(2(2(4(4(3(0(1(0(3(2(3(2(2(4(2(x1)))))))))))))))))))) -> 3(0(4(0(2(4(1(0(3(2(3(0(0(2(4(2(4(1(0(2(x1))))))))))))))))))))
2(4(4(0(2(4(2(2(3(1(0(2(0(0(1(1(4(2(2(1(x1)))))))))))))))))))) -> 0(2(4(1(4(4(0(2(4(1(1(4(1(3(3(0(3(2(1(2(x1))))))))))))))))))))
3(0(1(2(3(0(1(2(2(2(0(2(3(3(3(4(3(3(2(1(x1)))))))))))))))))))) -> 0(2(3(1(3(1(0(1(2(1(1(1(1(3(3(4(4(0(3(2(x1))))))))))))))))))))
3(0(2(3(3(2(0(2(0(1(2(4(3(3(1(4(4(0(2(1(x1)))))))))))))))))))) -> 2(0(2(1(1(1(3(3(0(4(2(4(3(0(1(1(1(4(1(2(x1))))))))))))))))))))
3(0(3(0(0(0(2(0(1(2(2(4(0(1(2(0(3(2(2(2(x1)))))))))))))))))))) -> 4(4(2(4(4(2(4(1(4(4(2(0(3(2(1(4(4(2(4(2(x1))))))))))))))))))))
3(0(4(3(2(3(3(2(3(0(1(0(1(0(1(3(1(4(2(1(x1)))))))))))))))))))) -> 4(1(3(2(1(4(1(0(1(3(3(1(4(4(0(4(2(1(1(2(x1))))))))))))))))))))
3(1(0(2(3(2(2(4(3(0(2(0(4(2(1(0(2(1(1(1(x1)))))))))))))))))))) -> 1(4(0(1(0(4(1(1(3(4(3(2(4(4(3(2(1(1(2(2(x1))))))))))))))))))))
3(1(1(1(3(3(0(1(3(4(4(2(2(3(1(3(3(4(1(2(x1)))))))))))))))))))) -> 1(4(1(1(2(1(1(3(4(1(4(2(0(0(2(2(3(2(2(2(x1))))))))))))))))))))
3(1(1(2(0(3(2(0(4(0(0(4(3(4(3(1(1(2(1(1(x1)))))))))))))))))))) -> 4(2(0(1(2(4(3(4(4(3(3(3(1(1(3(0(4(3(4(2(x1))))))))))))))))))))
3(1(1(2(4(3(1(2(3(0(1(1(1(2(2(3(1(1(3(2(x1)))))))))))))))))))) -> 4(0(0(1(3(0(1(1(2(4(2(4(3(4(1(4(0(0(0(2(x1))))))))))))))))))))
3(1(3(2(2(4(1(0(3(1(3(0(2(0(0(0(3(3(2(1(x1)))))))))))))))))))) -> 1(3(0(2(1(3(2(1(4(2(2(2(3(4(4(0(2(4(3(2(x1))))))))))))))))))))
3(2(0(1(4(3(0(2(0(2(2(3(0(1(4(2(1(1(1(2(x1)))))))))))))))))))) -> 0(3(1(2(2(2(4(0(3(0(0(3(2(4(4(2(4(3(2(1(x1))))))))))))))))))))
3(2(0(3(4(3(1(1(3(2(0(3(0(0(0(1(4(2(4(1(x1)))))))))))))))))))) -> 3(3(2(0(2(4(3(0(0(3(3(0(1(2(4(1(0(0(2(1(x1))))))))))))))))))))
3(2(1(0(4(1(2(2(0(3(4(3(2(3(4(1(4(0(1(2(x1)))))))))))))))))))) -> 0(2(4(3(3(2(4(3(3(3(1(2(2(3(4(3(4(3(4(2(x1))))))))))))))))))))
3(2(1(1(1(4(2(4(0(3(1(3(0(2(3(0(4(0(3(2(x1)))))))))))))))))))) -> 3(0(3(0(4(3(2(2(1(1(4(4(4(3(0(2(4(2(2(2(x1))))))))))))))))))))
3(2(3(1(0(1(4(2(4(3(1(0(4(1(4(3(3(1(0(2(x1)))))))))))))))))))) -> 0(0(1(2(2(0(4(4(4(1(0(2(4(1(4(4(0(1(1(2(x1))))))))))))))))))))
3(2(3(3(3(4(1(2(1(2(1(2(1(3(1(1(0(1(4(2(x1)))))))))))))))))))) -> 3(0(1(0(0(4(4(4(4(2(4(4(4(3(0(0(2(1(4(2(x1))))))))))))))))))))
3(2(4(3(2(2(0(2(3(4(0(1(0(4(3(0(3(0(4(2(x1)))))))))))))))))))) -> 0(1(2(0(4(2(3(1(4(0(1(1(0(0(1(1(0(1(1(2(x1))))))))))))))))))))
3(3(0(2(0(0(1(3(0(2(2(2(4(0(3(1(1(0(0(2(x1)))))))))))))))))))) -> 4(0(2(1(3(2(4(0(1(4(1(1(0(2(0(0(2(2(4(2(x1))))))))))))))))))))
3(3(0(4(4(2(4(0(4(0(4(2(0(2(2(2(4(0(3(2(x1)))))))))))))))))))) -> 0(1(0(1(1(1(4(4(0(1(3(2(2(4(1(4(3(4(2(2(x1))))))))))))))))))))
3(3(3(1(3(4(3(0(3(1(3(2(2(4(0(3(4(2(0(2(x1)))))))))))))))))))) -> 4(0(4(1(0(2(4(3(4(2(3(2(3(3(3(0(1(0(4(2(x1))))))))))))))))))))
3(3(3(2(1(1(3(3(4(2(4(3(2(2(0(3(0(4(2(2(x1)))))))))))))))))))) -> 1(3(4(2(4(4(4(3(2(4(4(0(3(3(4(0(4(2(2(1(x1))))))))))))))))))))
3(3(3(4(1(1(4(2(3(0(3(4(4(1(2(3(4(1(4(2(x1)))))))))))))))))))) -> 0(2(4(3(1(2(3(4(1(2(0(1(1(3(3(4(1(0(1(2(x1))))))))))))))))))))
3(4(0(2(2(1(1(0(3(3(1(3(2(2(2(1(1(2(0(2(x1)))))))))))))))))))) -> 3(0(2(3(4(2(0(2(1(4(0(3(3(2(4(1(2(4(1(2(x1))))))))))))))))))))
3(4(2(2(4(4(0(3(1(4(1(0(4(0(1(0(2(1(0(2(x1)))))))))))))))))))) -> 0(2(4(1(2(0(3(0(2(3(4(1(1(4(0(3(3(2(4(2(x1))))))))))))))))))))
3(4(4(2(1(1(4(3(4(3(0(3(3(3(2(2(0(3(1(2(x1)))))))))))))))))))) -> 2(4(0(3(2(3(1(4(3(2(2(2(0(1(0(2(3(2(3(2(x1))))))))))))))))))))
4(0(1(3(3(2(4(3(3(2(0(0(1(2(3(4(2(3(3(2(x1)))))))))))))))))))) -> 2(4(3(0(3(0(1(4(2(1(4(3(2(1(3(2(3(1(2(2(x1))))))))))))))))))))
4(0(1(4(1(2(1(3(4(2(4(3(3(2(1(1(4(4(2(2(x1)))))))))))))))))))) -> 4(2(3(4(2(4(1(1(1(2(0(1(1(4(0(0(1(3(2(1(x1))))))))))))))))))))
4(1(0(2(0(0(0(2(3(4(0(4(2(0(2(0(3(4(3(2(x1)))))))))))))))))))) -> 2(1(1(1(4(2(2(0(0(4(1(2(2(2(0(0(2(4(0(2(x1))))))))))))))))))))
4(1(1(3(2(3(0(3(3(3(4(2(4(4(4(1(0(2(0(2(x1)))))))))))))))))))) -> 4(4(4(4(1(0(0(3(1(4(0(4(4(0(3(0(1(3(2(2(x1))))))))))))))))))))
4(1(1(4(4(0(1(2(1(0(0(4(4(2(3(3(3(1(3(2(x1)))))))))))))))))))) -> 3(1(0(4(2(4(4(1(2(4(3(3(2(2(1(4(3(3(4(2(x1))))))))))))))))))))
4(1(3(4(3(2(2(1(1(2(3(0(4(1(1(3(4(3(4(2(x1)))))))))))))))))))) -> 2(4(2(1(1(4(0(2(3(0(0(4(2(4(4(0(3(3(1(2(x1))))))))))))))))))))
4(2(1(1(0(1(0(0(2(0(3(2(1(0(0(3(0(1(2(2(x1)))))))))))))))))))) -> 0(0(4(1(0(1(4(2(4(1(0(0(0(1(4(1(3(3(2(1(x1))))))))))))))))))))
4(2(3(0(3(4(1(1(1(1(0(4(1(1(1(3(4(4(2(2(x1)))))))))))))))))))) -> 2(0(3(3(2(4(4(2(1(1(4(1(1(0(0(2(4(0(0(2(x1))))))))))))))))))))
4(3(0(3(2(3(0(4(3(1(3(4(2(0(3(4(3(2(2(1(x1)))))))))))))))))))) -> 0(3(4(3(3(2(4(1(0(0(1(0(0(2(0(3(2(0(2(2(x1))))))))))))))))))))
4(3(1(0(2(1(0(4(4(0(3(1(0(0(3(0(4(3(1(2(x1)))))))))))))))))))) -> 0(1(3(4(0(2(0(0(3(0(0(3(1(2(4(3(1(1(3(2(x1))))))))))))))))))))
4(3(1(1(2(2(1(3(1(0(0(1(1(0(4(2(3(3(0(2(x1)))))))))))))))))))) -> 0(3(3(1(4(1(1(2(1(2(1(3(1(3(1(4(2(2(4(2(x1))))))))))))))))))))
4(3(3(0(2(4(1(2(2(3(0(0(2(0(0(1(0(3(1(2(x1)))))))))))))))))))) -> 4(0(2(3(1(1(4(3(3(1(1(4(0(2(3(2(2(0(1(2(x1))))))))))))))))))))
4(3(4(0(2(4(3(2(3(3(1(3(3(4(2(4(0(4(1(2(x1)))))))))))))))))))) -> 4(4(3(4(1(0(4(4(3(0(2(1(4(2(1(1(4(4(1(2(x1))))))))))))))))))))
4(4(2(4(0(0(2(3(4(3(3(1(4(2(2(3(1(0(2(1(x1)))))))))))))))))))) -> 4(4(1(4(4(4(1(1(4(0(2(3(2(3(1(2(2(1(2(1(x1))))))))))))))))))))
4(4(3(1(1(3(4(3(2(3(1(1(0(0(0(0(0(0(2(1(x1)))))))))))))))))))) -> 0(4(0(1(3(0(2(4(3(1(2(2(3(2(0(0(4(4(1(2(x1))))))))))))))))))))
4(4(3(3(4(0(1(0(1(4(0(0(2(3(3(4(0(0(2(1(x1)))))))))))))))))))) -> 1(0(1(2(0(1(1(1(1(2(0(0(1(4(3(2(2(4(3(2(x1))))))))))))))))))))
encArg(cons_0(x_1)) -> 0(encArg(x_1))
encArg(cons_1(x_1)) -> 1(encArg(x_1))
encArg(cons_2(x_1)) -> 2(encArg(x_1))
encArg(cons_3(x_1)) -> 3(encArg(x_1))
encArg(cons_4(x_1)) -> 4(encArg(x_1))
encode_0(x_1) -> 0(encArg(x_1))
encode_1(x_1) -> 1(encArg(x_1))
encode_2(x_1) -> 2(encArg(x_1))
encode_3(x_1) -> 3(encArg(x_1))
encode_4(x_1) -> 4(encArg(x_1))

Types:
0 :: 2:3:1:4:0:encArg:encode_0:encode_1:encode_2:encode_3:encode_4 -> 2:3:1:4:0:encArg:encode_0:encode_1:encode_2:encode_3:encode_4
1 :: 2:3:1:4:0:encArg:encode_0:encode_1:encode_2:encode_3:encode_4 -> 2:3:1:4:0:encArg:encode_0:encode_1:encode_2:encode_3:encode_4
2 :: 2:3:1:4:0:encArg:encode_0:encode_1:encode_2:encode_3:encode_4 -> 2:3:1:4:0:encArg:encode_0:encode_1:encode_2:encode_3:encode_4
3 :: 2:3:1:4:0:encArg:encode_0:encode_1:encode_2:encode_3:encode_4 -> 2:3:1:4:0:encArg:encode_0:encode_1:encode_2:encode_3:encode_4
4 :: 2:3:1:4:0:encArg:encode_0:encode_1:encode_2:encode_3:encode_4 -> 2:3:1:4:0:encArg:encode_0:encode_1:encode_2:encode_3:encode_4
encArg :: cons_0:cons_1:cons_2:cons_3:cons_4 -> 2:3:1:4:0:encArg:encode_0:encode_1:encode_2:encode_3:encode_4
cons_0 :: cons_0:cons_1:cons_2:cons_3:cons_4 -> cons_0:cons_1:cons_2:cons_3:cons_4
cons_1 :: cons_0:cons_1:cons_2:cons_3:cons_4 -> cons_0:cons_1:cons_2:cons_3:cons_4
cons_2 :: cons_0:cons_1:cons_2:cons_3:cons_4 -> cons_0:cons_1:cons_2:cons_3:cons_4
cons_3 :: cons_0:cons_1:cons_2:cons_3:cons_4 -> cons_0:cons_1:cons_2:cons_3:cons_4
cons_4 :: cons_0:cons_1:cons_2:cons_3:cons_4 -> cons_0:cons_1:cons_2:cons_3:cons_4
encode_0 :: cons_0:cons_1:cons_2:cons_3:cons_4 -> 2:3:1:4:0:encArg:encode_0:encode_1:encode_2:encode_3:encode_4
encode_1 :: cons_0:cons_1:cons_2:cons_3:cons_4 -> 2:3:1:4:0:encArg:encode_0:encode_1:encode_2:encode_3:encode_4
encode_2 :: cons_0:cons_1:cons_2:cons_3:cons_4 -> 2:3:1:4:0:encArg:encode_0:encode_1:encode_2:encode_3:encode_4
encode_3 :: cons_0:cons_1:cons_2:cons_3:cons_4 -> 2:3:1:4:0:encArg:encode_0:encode_1:encode_2:encode_3:encode_4
encode_4 :: cons_0:cons_1:cons_2:cons_3:cons_4 -> 2:3:1:4:0:encArg:encode_0:encode_1:encode_2:encode_3:encode_4
hole_2:3:1:4:0:encArg:encode_0:encode_1:encode_2:encode_3:encode_41_5 :: 2:3:1:4:0:encArg:encode_0:encode_1:encode_2:encode_3:encode_4
hole_cons_0:cons_1:cons_2:cons_3:cons_42_5 :: cons_0:cons_1:cons_2:cons_3:cons_4
gen_cons_0:cons_1:cons_2:cons_3:cons_43_5 :: Nat -> cons_0:cons_1:cons_2:cons_3:cons_4

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

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

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

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

(12)
Obligation:
TRS:
Rules:
0(0(0(0(1(0(1(2(2(3(3(4(1(2(3(2(3(3(2(2(x1)))))))))))))))))))) -> 0(3(1(0(2(1(0(4(2(4(0(0(1(1(4(2(3(1(0(2(x1))))))))))))))))))))
0(1(1(1(0(4(1(0(1(2(1(0(1(4(1(1(2(4(4(2(x1)))))))))))))))))))) -> 4(4(1(2(4(0(4(1(0(1(4(2(2(2(3(1(1(4(0(2(x1))))))))))))))))))))
0(1(1(1(1(2(4(4(0(3(4(4(0(2(0(4(1(1(2(1(x1)))))))))))))))))))) -> 3(1(4(3(2(4(3(3(4(0(0(2(0(3(1(0(1(0(1(2(x1))))))))))))))))))))
0(1(2(0(4(0(2(0(3(0(2(2(3(2(0(4(3(0(1(2(x1)))))))))))))))))))) -> 1(3(0(2(1(0(0(2(2(0(4(1(2(2(2(3(2(4(2(1(x1))))))))))))))))))))
0(1(2(2(0(3(1(1(3(2(1(1(1(1(3(4(2(3(0(2(x1)))))))))))))))))))) -> 4(2(4(3(3(2(3(2(4(1(0(2(3(1(4(2(1(4(3(2(x1))))))))))))))))))))
0(1(3(1(1(2(3(2(4(3(4(1(1(2(3(1(0(4(2(2(x1)))))))))))))))))))) -> 2(2(0(1(1(3(2(0(1(0(2(2(0(4(1(4(2(2(4(2(x1))))))))))))))))))))
0(1(3(2(3(1(0(0(0(3(3(2(3(3(2(1(0(2(1(2(x1)))))))))))))))))))) -> 0(0(3(4(0(2(2(4(0(4(2(1(3(4(1(3(2(0(2(1(x1))))))))))))))))))))
0(1(3(3(3(3(0(1(1(2(0(0(4(4(4(3(1(0(0(2(x1)))))))))))))))))))) -> 2(0(2(4(0(2(3(4(2(0(1(0(0(3(4(3(4(0(3(2(x1))))))))))))))))))))
0(2(0(0(0(4(0(3(1(2(2(4(4(3(3(2(2(2(3(2(x1)))))))))))))))))))) -> 3(1(2(2(4(0(2(3(1(3(4(0(4(1(3(2(3(1(2(1(x1))))))))))))))))))))
0(2(0(1(2(1(1(0(2(2(0(0(3(4(4(3(1(2(2(1(x1)))))))))))))))))))) -> 3(0(2(2(0(1(4(2(3(3(0(3(0(2(0(2(4(2(0(2(x1))))))))))))))))))))
0(2(0(2(2(1(3(2(2(0(2(0(0(2(1(0(4(3(3(2(x1)))))))))))))))))))) -> 0(3(3(0(0(4(2(3(0(0(3(1(2(4(2(4(0(0(4(2(x1))))))))))))))))))))
0(2(1(1(3(3(4(4(0(4(3(3(3(0(0(4(1(2(1(1(x1)))))))))))))))))))) -> 2(2(1(4(4(2(4(3(0(2(3(4(3(0(0(2(2(2(0(2(x1))))))))))))))))))))
0(2(2(3(4(2(3(2(3(0(1(3(1(3(2(2(2(1(1(2(x1)))))))))))))))))))) -> 4(0(3(2(4(0(1(1(0(2(0(3(0(1(2(3(0(1(2(2(x1))))))))))))))))))))
0(3(1(0(1(1(2(3(3(1(4(3(3(3(2(1(4(0(2(2(x1)))))))))))))))))))) -> 0(4(4(1(1(4(2(1(0(1(4(2(2(0(0(1(0(1(2(1(x1))))))))))))))))))))
0(3(3(4(1(4(2(3(2(3(0(4(2(3(3(2(2(2(2(1(x1)))))))))))))))))))) -> 0(4(2(4(4(3(0(0(0(3(3(2(4(4(4(0(0(2(3(2(x1))))))))))))))))))))
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4(3(4(0(2(4(3(2(3(3(1(3(3(4(2(4(0(4(1(2(x1)))))))))))))))))))) -> 4(4(3(4(1(0(4(4(3(0(2(1(4(2(1(1(4(4(1(2(x1))))))))))))))))))))
4(4(2(4(0(0(2(3(4(3(3(1(4(2(2(3(1(0(2(1(x1)))))))))))))))))))) -> 4(4(1(4(4(4(1(1(4(0(2(3(2(3(1(2(2(1(2(1(x1))))))))))))))))))))
4(4(3(1(1(3(4(3(2(3(1(1(0(0(0(0(0(0(2(1(x1)))))))))))))))))))) -> 0(4(0(1(3(0(2(4(3(1(2(2(3(2(0(0(4(4(1(2(x1))))))))))))))))))))
4(4(3(3(4(0(1(0(1(4(0(0(2(3(3(4(0(0(2(1(x1)))))))))))))))))))) -> 1(0(1(2(0(1(1(1(1(2(0(0(1(4(3(2(2(4(3(2(x1))))))))))))))))))))
encArg(cons_0(x_1)) -> 0(encArg(x_1))
encArg(cons_1(x_1)) -> 1(encArg(x_1))
encArg(cons_2(x_1)) -> 2(encArg(x_1))
encArg(cons_3(x_1)) -> 3(encArg(x_1))
encArg(cons_4(x_1)) -> 4(encArg(x_1))
encode_0(x_1) -> 0(encArg(x_1))
encode_1(x_1) -> 1(encArg(x_1))
encode_2(x_1) -> 2(encArg(x_1))
encode_3(x_1) -> 3(encArg(x_1))
encode_4(x_1) -> 4(encArg(x_1))

Types:
0 :: 2:3:1:4:0:encArg:encode_0:encode_1:encode_2:encode_3:encode_4 -> 2:3:1:4:0:encArg:encode_0:encode_1:encode_2:encode_3:encode_4
1 :: 2:3:1:4:0:encArg:encode_0:encode_1:encode_2:encode_3:encode_4 -> 2:3:1:4:0:encArg:encode_0:encode_1:encode_2:encode_3:encode_4
2 :: 2:3:1:4:0:encArg:encode_0:encode_1:encode_2:encode_3:encode_4 -> 2:3:1:4:0:encArg:encode_0:encode_1:encode_2:encode_3:encode_4
3 :: 2:3:1:4:0:encArg:encode_0:encode_1:encode_2:encode_3:encode_4 -> 2:3:1:4:0:encArg:encode_0:encode_1:encode_2:encode_3:encode_4
4 :: 2:3:1:4:0:encArg:encode_0:encode_1:encode_2:encode_3:encode_4 -> 2:3:1:4:0:encArg:encode_0:encode_1:encode_2:encode_3:encode_4
encArg :: cons_0:cons_1:cons_2:cons_3:cons_4 -> 2:3:1:4:0:encArg:encode_0:encode_1:encode_2:encode_3:encode_4
cons_0 :: cons_0:cons_1:cons_2:cons_3:cons_4 -> cons_0:cons_1:cons_2:cons_3:cons_4
cons_1 :: cons_0:cons_1:cons_2:cons_3:cons_4 -> cons_0:cons_1:cons_2:cons_3:cons_4
cons_2 :: cons_0:cons_1:cons_2:cons_3:cons_4 -> cons_0:cons_1:cons_2:cons_3:cons_4
cons_3 :: cons_0:cons_1:cons_2:cons_3:cons_4 -> cons_0:cons_1:cons_2:cons_3:cons_4
cons_4 :: cons_0:cons_1:cons_2:cons_3:cons_4 -> cons_0:cons_1:cons_2:cons_3:cons_4
encode_0 :: cons_0:cons_1:cons_2:cons_3:cons_4 -> 2:3:1:4:0:encArg:encode_0:encode_1:encode_2:encode_3:encode_4
encode_1 :: cons_0:cons_1:cons_2:cons_3:cons_4 -> 2:3:1:4:0:encArg:encode_0:encode_1:encode_2:encode_3:encode_4
encode_2 :: cons_0:cons_1:cons_2:cons_3:cons_4 -> 2:3:1:4:0:encArg:encode_0:encode_1:encode_2:encode_3:encode_4
encode_3 :: cons_0:cons_1:cons_2:cons_3:cons_4 -> 2:3:1:4:0:encArg:encode_0:encode_1:encode_2:encode_3:encode_4
encode_4 :: cons_0:cons_1:cons_2:cons_3:cons_4 -> 2:3:1:4:0:encArg:encode_0:encode_1:encode_2:encode_3:encode_4
hole_2:3:1:4:0:encArg:encode_0:encode_1:encode_2:encode_3:encode_41_5 :: 2:3:1:4:0:encArg:encode_0:encode_1:encode_2:encode_3:encode_4
hole_cons_0:cons_1:cons_2:cons_3:cons_42_5 :: cons_0:cons_1:cons_2:cons_3:cons_4
gen_cons_0:cons_1:cons_2:cons_3:cons_43_5 :: Nat -> cons_0:cons_1:cons_2:cons_3:cons_4


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


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

They will be analysed ascendingly in the following order:
0 = 3
0 = 1
0 = 2
0 = 4
0 < encArg
3 = 1
3 = 2
3 = 4
3 < encArg
1 = 2
1 = 4
1 < 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(0(1(2(2(3(3(4(1(2(3(2(3(3(2(2(x1)))))))))))))))))))) -> 0(3(1(0(2(1(0(4(2(4(0(0(1(1(4(2(3(1(0(2(x1))))))))))))))))))))
   0(1(1(1(0(4(1(0(1(2(1(0(1(4(1(1(2(4(4(2(x1)))))))))))))))))))) -> 4(4(1(2(4(0(4(1(0(1(4(2(2(2(3(1(1(4(0(2(x1))))))))))))))))))))
   0(1(1(1(1(2(4(4(0(3(4(4(0(2(0(4(1(1(2(1(x1)))))))))))))))))))) -> 3(1(4(3(2(4(3(3(4(0(0(2(0(3(1(0(1(0(1(2(x1))))))))))))))))))))
   0(1(2(0(4(0(2(0(3(0(2(2(3(2(0(4(3(0(1(2(x1)))))))))))))))))))) -> 1(3(0(2(1(0(0(2(2(0(4(1(2(2(2(3(2(4(2(1(x1))))))))))))))))))))
   0(1(2(2(0(3(1(1(3(2(1(1(1(1(3(4(2(3(0(2(x1)))))))))))))))))))) -> 4(2(4(3(3(2(3(2(4(1(0(2(3(1(4(2(1(4(3(2(x1))))))))))))))))))))
   0(1(3(1(1(2(3(2(4(3(4(1(1(2(3(1(0(4(2(2(x1)))))))))))))))))))) -> 2(2(0(1(1(3(2(0(1(0(2(2(0(4(1(4(2(2(4(2(x1))))))))))))))))))))
   0(1(3(2(3(1(0(0(0(3(3(2(3(3(2(1(0(2(1(2(x1)))))))))))))))))))) -> 0(0(3(4(0(2(2(4(0(4(2(1(3(4(1(3(2(0(2(1(x1))))))))))))))))))))
   0(1(3(3(3(3(0(1(1(2(0(0(4(4(4(3(1(0(0(2(x1)))))))))))))))))))) -> 2(0(2(4(0(2(3(4(2(0(1(0(0(3(4(3(4(0(3(2(x1))))))))))))))))))))
   0(2(0(0(0(4(0(3(1(2(2(4(4(3(3(2(2(2(3(2(x1)))))))))))))))))))) -> 3(1(2(2(4(0(2(3(1(3(4(0(4(1(3(2(3(1(2(1(x1))))))))))))))))))))
   0(2(0(1(2(1(1(0(2(2(0(0(3(4(4(3(1(2(2(1(x1)))))))))))))))))))) -> 3(0(2(2(0(1(4(2(3(3(0(3(0(2(0(2(4(2(0(2(x1))))))))))))))))))))
   0(2(0(2(2(1(3(2(2(0(2(0(0(2(1(0(4(3(3(2(x1)))))))))))))))))))) -> 0(3(3(0(0(4(2(3(0(0(3(1(2(4(2(4(0(0(4(2(x1))))))))))))))))))))
   0(2(1(1(3(3(4(4(0(4(3(3(3(0(0(4(1(2(1(1(x1)))))))))))))))))))) -> 2(2(1(4(4(2(4(3(0(2(3(4(3(0(0(2(2(2(0(2(x1))))))))))))))))))))
   0(2(2(3(4(2(3(2(3(0(1(3(1(3(2(2(2(1(1(2(x1)))))))))))))))))))) -> 4(0(3(2(4(0(1(1(0(2(0(3(0(1(2(3(0(1(2(2(x1))))))))))))))))))))
   0(3(1(0(1(1(2(3(3(1(4(3(3(3(2(1(4(0(2(2(x1)))))))))))))))))))) -> 0(4(4(1(1(4(2(1(0(1(4(2(2(0(0(1(0(1(2(1(x1))))))))))))))))))))
   0(3(3(4(1(4(2(3(2(3(0(4(2(3(3(2(2(2(2(1(x1)))))))))))))))))))) -> 0(4(2(4(4(3(0(0(0(3(3(2(4(4(4(0(0(2(3(2(x1))))))))))))))))))))
   0(3(4(0(2(0(1(2(3(1(0(4(4(3(1(4(1(3(0(2(x1)))))))))))))))))))) -> 4(0(4(4(3(3(0(0(3(4(3(4(0(1(4(1(1(4(3(2(x1))))))))))))))))))))
   0(3(4(3(2(0(1(1(0(2(3(3(2(1(3(1(1(2(3(2(x1)))))))))))))))))))) -> 1(2(2(4(2(4(1(3(1(3(3(0(3(3(0(0(4(3(2(2(x1))))))))))))))))))))
   0(4(0(2(0(1(2(1(4(3(1(4(3(3(1(0(3(3(1(2(x1)))))))))))))))))))) -> 2(1(0(2(2(4(0(1(4(2(3(4(0(1(2(0(2(4(4(2(x1))))))))))))))))))))
   0(4(2(0(0(4(2(3(2(3(4(3(4(4(3(3(2(0(2(2(x1)))))))))))))))))))) -> 4(0(4(4(2(2(1(1(4(3(4(2(0(2(3(1(2(0(1(2(x1))))))))))))))))))))
   0(4(3(2(4(4(3(4(1(3(3(2(3(1(0(1(2(1(2(2(x1)))))))))))))))))))) -> 1(1(4(0(4(1(1(0(0(1(2(4(0(3(2(4(2(0(3(2(x1))))))))))))))))))))
   0(4(4(0(4(3(0(2(1(2(3(2(2(0(2(0(0(2(2(1(x1)))))))))))))))))))) -> 0(2(1(4(0(2(2(2(1(1(4(2(4(0(3(1(2(0(1(2(x1))))))))))))))))))))
   1(0(2(1(3(2(3(1(3(3(4(1(3(2(2(0(1(2(3(2(x1)))))))))))))))))))) -> 3(3(4(0(4(0(1(0(4(0(1(1(4(4(1(3(3(2(0(2(x1))))))))))))))))))))
   1(0(3(0(0(0(2(3(3(0(4(4(4(0(3(1(1(1(2(1(x1)))))))))))))))))))) -> 0(3(2(2(4(3(3(1(0(0(3(3(1(0(3(3(4(4(2(2(x1))))))))))))))))))))
   1(0(3(4(4(4(4(4(1(3(0(1(2(0(2(0(1(1(3(2(x1)))))))))))))))))))) -> 0(1(3(2(1(3(4(1(4(2(4(0(2(4(2(3(0(0(2(1(x1))))))))))))))))))))
   1(0(4(1(4(1(2(2(0(0(0(4(0(1(1(2(3(3(3(2(x1)))))))))))))))))))) -> 2(2(2(2(4(0(2(3(1(0(2(2(1(4(0(4(1(1(1(2(x1))))))))))))))))))))
   1(1(0(3(4(3(2(3(2(3(4(3(2(1(4(4(2(3(0(2(x1)))))))))))))))))))) -> 0(3(0(3(4(0(0(1(0(2(1(2(4(0(3(0(3(0(2(2(x1))))))))))))))))))))
   1(1(2(3(0(3(4(2(1(2(4(0(3(2(3(4(4(4(3(2(x1)))))))))))))))))))) -> 3(4(2(1(1(1(4(4(0(0(0(3(0(4(1(4(3(2(4(2(x1))))))))))))))))))))
   1(1(3(4(0(1(4(2(0(3(4(4(0(0(3(0(1(2(3(2(x1)))))))))))))))))))) -> 3(0(4(1(1(4(0(4(1(2(1(4(2(0(4(4(3(3(2(2(x1))))))))))))))))))))
   1(2(0(4(1(4(3(0(0(0(3(2(4(4(1(3(0(2(3(2(x1)))))))))))))))))))) -> 1(3(2(2(0(3(2(0(0(2(4(0(1(4(2(0(2(0(1(2(x1))))))))))))))))))))
   1(2(2(1(0(3(2(4(4(1(4(0(0(0(3(1(3(3(2(1(x1)))))))))))))))))))) -> 1(4(0(0(3(1(2(0(0(3(0(1(4(4(3(2(4(2(1(1(x1))))))))))))))))))))
   1(2(3(4(2(4(2(3(2(0(2(1(0(2(2(0(4(2(0(2(x1)))))))))))))))))))) -> 1(1(1(4(0(4(4(0(0(0(2(1(3(4(0(2(4(0(0(2(x1))))))))))))))))))))
   1(2(4(4(4(3(1(0(0(2(0(0(4(0(4(4(3(1(0(2(x1)))))))))))))))))))) -> 1(2(4(3(0(1(1(0(0(2(0(1(1(3(2(1(4(1(0(2(x1))))))))))))))))))))
   1(3(0(1(3(2(0(4(0(2(0(4(2(0(4(0(2(4(0(2(x1)))))))))))))))))))) -> 4(3(0(3(2(2(1(3(4(0(1(0(1(2(0(1(1(4(4(2(x1))))))))))))))))))))
   1(3(3(1(0(0(1(1(3(2(3(0(0(0(1(1(1(1(0(2(x1)))))))))))))))))))) -> 1(3(0(4(1(1(4(3(4(2(4(4(3(3(3(2(0(2(2(1(x1))))))))))))))))))))
   1(4(0(2(3(0(0(4(4(1(0(0(1(0(2(2(1(1(3(2(x1)))))))))))))))))))) -> 4(2(4(1(4(0(3(0(4(3(0(3(3(1(3(0(2(1(2(1(x1))))))))))))))))))))
   1(4(1(3(1(1(0(0(0(0(4(3(0(0(2(0(2(1(1(1(x1)))))))))))))))))))) -> 2(1(4(2(0(0(3(3(4(3(0(2(4(1(0(2(4(4(2(1(x1))))))))))))))))))))
   2(0(0(1(2(3(2(3(0(1(2(4(2(2(1(0(0(3(2(1(x1)))))))))))))))))))) -> 2(4(0(1(1(2(3(0(0(4(3(0(1(0(4(2(4(3(4(2(x1))))))))))))))))))))
   2(0(1(1(0(0(4(2(3(1(0(2(3(0(3(4(0(3(3(2(x1)))))))))))))))))))) -> 3(4(1(3(2(0(3(0(4(1(2(4(0(4(4(1(3(2(0(2(x1))))))))))))))))))))
   2(0(1(2(0(1(0(1(0(4(3(1(4(4(4(0(2(3(3(2(x1)))))))))))))))))))) -> 4(1(0(0(1(3(2(0(2(4(1(0(4(0(2(0(3(0(2(2(x1))))))))))))))))))))
   2(0(1(2(0(1(3(2(2(0(4(3(2(2(4(3(0(1(2(1(x1)))))))))))))))))))) -> 0(2(2(4(1(4(4(3(1(1(2(4(3(1(2(0(1(2(1(2(x1))))))))))))))))))))
   2(0(2(1(3(3(4(0(1(1(2(0(3(1(3(0(1(2(1(2(x1)))))))))))))))))))) -> 2(2(2(0(1(1(4(3(2(0(2(3(3(3(1(1(2(2(4(2(x1))))))))))))))))))))
   2(0(4(3(4(0(2(1(3(2(0(3(2(0(1(0(4(4(2(2(x1)))))))))))))))))))) -> 4(0(3(2(4(0(1(1(2(4(0(4(4(0(4(2(3(2(2(2(x1))))))))))))))))))))
   2(0(4(4(0(3(3(2(4(0(1(4(2(4(4(4(2(2(2(2(x1)))))))))))))))))))) -> 0(2(2(0(1(0(4(3(0(2(4(2(2(4(3(3(1(3(1(2(x1))))))))))))))))))))
   2(0(4(4(2(1(3(3(3(2(0(0(2(3(3(1(4(2(3(2(x1)))))))))))))))))))) -> 0(0(2(1(2(1(2(0(2(4(1(4(1(3(0(1(2(0(3(2(x1))))))))))))))))))))
   2(1(0(1(0(4(2(1(1(1(3(0(4(2(2(0(2(3(2(2(x1)))))))))))))))))))) -> 3(2(0(3(1(3(1(2(1(2(1(1(1(3(1(1(4(1(3(2(x1))))))))))))))))))))
   2(1(0(3(1(4(4(0(4(3(0(4(3(3(4(1(2(3(4(2(x1)))))))))))))))))))) -> 1(4(1(4(4(2(2(0(2(3(1(0(1(3(0(0(2(0(2(1(x1))))))))))))))))))))
   2(1(2(0(3(1(4(2(3(0(1(1(4(4(2(0(4(3(2(1(x1)))))))))))))))))))) -> 1(2(3(4(0(1(4(3(1(1(1(4(1(4(0(0(2(1(4(2(x1))))))))))))))))))))
   2(1(2(3(3(2(2(1(2(3(3(2(0(4(3(4(1(0(1(2(x1)))))))))))))))))))) -> 3(4(1(4(0(2(0(1(2(0(4(4(1(0(2(4(1(1(1(2(x1))))))))))))))))))))
   2(1(2(3(4(4(0(2(3(2(0(3(2(4(4(4(2(4(2(2(x1)))))))))))))))))))) -> 1(1(3(3(1(3(3(2(2(1(4(1(2(2(4(1(2(2(3(2(x1))))))))))))))))))))
   2(1(3(4(1(3(3(4(2(0(0(1(0(1(2(0(1(0(4(2(x1)))))))))))))))))))) -> 2(1(1(2(1(1(0(1(4(0(1(3(2(1(2(4(0(1(2(2(x1))))))))))))))))))))
   2(2(1(0(1(1(2(0(2(2(0(2(2(1(3(0(4(4(1(2(x1)))))))))))))))))))) -> 1(2(1(2(4(0(2(1(2(0(3(1(1(2(2(4(4(3(1(2(x1))))))))))))))))))))
   2(2(1(2(3(3(2(0(3(0(2(0(4(2(4(1(2(3(0(2(x1)))))))))))))))))))) -> 0(4(1(0(2(2(1(0(3(3(4(2(1(4(1(2(1(4(1(2(x1))))))))))))))))))))
   2(2(2(1(4(3(0(3(2(4(0(4(0(4(1(0(4(2(2(1(x1)))))))))))))))))))) -> 1(1(4(2(4(4(2(1(2(0(3(2(1(4(3(1(3(2(4(2(x1))))))))))))))))))))
   2(3(2(0(0(1(0(3(3(1(4(1(3(0(0(3(2(3(4(2(x1)))))))))))))))))))) -> 1(2(4(4(0(1(1(4(4(4(2(2(4(4(3(2(0(3(4(2(x1))))))))))))))))))))
   2(3(4(2(2(3(3(4(3(2(0(2(1(0(2(1(4(1(3(2(x1)))))))))))))))))))) -> 1(4(0(4(1(3(1(1(1(1(3(0(1(0(4(1(4(2(1(1(x1))))))))))))))))))))
   2(4(0(3(4(1(1(4(0(2(2(2(3(4(4(3(3(3(0(2(x1)))))))))))))))))))) -> 0(1(0(0(1(1(4(3(3(0(4(2(4(1(1(3(2(2(2(2(x1))))))))))))))))))))
   2(4(0(4(3(1(2(1(2(2(3(0(1(0(1(3(1(3(3(2(x1)))))))))))))))))))) -> 0(2(4(4(1(4(1(4(2(2(2(4(3(3(3(1(1(0(1(2(x1))))))))))))))))))))
   2(4(2(0(3(2(2(4(4(3(0(1(0(3(2(3(2(2(4(2(x1)))))))))))))))))))) -> 3(0(4(0(2(4(1(0(3(2(3(0(0(2(4(2(4(1(0(2(x1))))))))))))))))))))
   2(4(4(0(2(4(2(2(3(1(0(2(0(0(1(1(4(2(2(1(x1)))))))))))))))))))) -> 0(2(4(1(4(4(0(2(4(1(1(4(1(3(3(0(3(2(1(2(x1))))))))))))))))))))
   3(0(1(2(3(0(1(2(2(2(0(2(3(3(3(4(3(3(2(1(x1)))))))))))))))))))) -> 0(2(3(1(3(1(0(1(2(1(1(1(1(3(3(4(4(0(3(2(x1))))))))))))))))))))
   3(0(2(3(3(2(0(2(0(1(2(4(3(3(1(4(4(0(2(1(x1)))))))))))))))))))) -> 2(0(2(1(1(1(3(3(0(4(2(4(3(0(1(1(1(4(1(2(x1))))))))))))))))))))
   3(0(3(0(0(0(2(0(1(2(2(4(0(1(2(0(3(2(2(2(x1)))))))))))))))))))) -> 4(4(2(4(4(2(4(1(4(4(2(0(3(2(1(4(4(2(4(2(x1))))))))))))))))))))
   3(0(4(3(2(3(3(2(3(0(1(0(1(0(1(3(1(4(2(1(x1)))))))))))))))))))) -> 4(1(3(2(1(4(1(0(1(3(3(1(4(4(0(4(2(1(1(2(x1))))))))))))))))))))
   3(1(0(2(3(2(2(4(3(0(2(0(4(2(1(0(2(1(1(1(x1)))))))))))))))))))) -> 1(4(0(1(0(4(1(1(3(4(3(2(4(4(3(2(1(1(2(2(x1))))))))))))))))))))
   3(1(1(1(3(3(0(1(3(4(4(2(2(3(1(3(3(4(1(2(x1)))))))))))))))))))) -> 1(4(1(1(2(1(1(3(4(1(4(2(0(0(2(2(3(2(2(2(x1))))))))))))))))))))
   3(1(1(2(0(3(2(0(4(0(0(4(3(4(3(1(1(2(1(1(x1)))))))))))))))))))) -> 4(2(0(1(2(4(3(4(4(3(3(3(1(1(3(0(4(3(4(2(x1))))))))))))))))))))
   3(1(1(2(4(3(1(2(3(0(1(1(1(2(2(3(1(1(3(2(x1)))))))))))))))))))) -> 4(0(0(1(3(0(1(1(2(4(2(4(3(4(1(4(0(0(0(2(x1))))))))))))))))))))
   3(1(3(2(2(4(1(0(3(1(3(0(2(0(0(0(3(3(2(1(x1)))))))))))))))))))) -> 1(3(0(2(1(3(2(1(4(2(2(2(3(4(4(0(2(4(3(2(x1))))))))))))))))))))
   3(2(0(1(4(3(0(2(0(2(2(3(0(1(4(2(1(1(1(2(x1)))))))))))))))))))) -> 0(3(1(2(2(2(4(0(3(0(0(3(2(4(4(2(4(3(2(1(x1))))))))))))))))))))
   3(2(0(3(4(3(1(1(3(2(0(3(0(0(0(1(4(2(4(1(x1)))))))))))))))))))) -> 3(3(2(0(2(4(3(0(0(3(3(0(1(2(4(1(0(0(2(1(x1))))))))))))))))))))
   3(2(1(0(4(1(2(2(0(3(4(3(2(3(4(1(4(0(1(2(x1)))))))))))))))))))) -> 0(2(4(3(3(2(4(3(3(3(1(2(2(3(4(3(4(3(4(2(x1))))))))))))))))))))
   3(2(1(1(1(4(2(4(0(3(1(3(0(2(3(0(4(0(3(2(x1)))))))))))))))))))) -> 3(0(3(0(4(3(2(2(1(1(4(4(4(3(0(2(4(2(2(2(x1))))))))))))))))))))
   3(2(3(1(0(1(4(2(4(3(1(0(4(1(4(3(3(1(0(2(x1)))))))))))))))))))) -> 0(0(1(2(2(0(4(4(4(1(0(2(4(1(4(4(0(1(1(2(x1))))))))))))))))))))
   3(2(3(3(3(4(1(2(1(2(1(2(1(3(1(1(0(1(4(2(x1)))))))))))))))))))) -> 3(0(1(0(0(4(4(4(4(2(4(4(4(3(0(0(2(1(4(2(x1))))))))))))))))))))
   3(2(4(3(2(2(0(2(3(4(0(1(0(4(3(0(3(0(4(2(x1)))))))))))))))))))) -> 0(1(2(0(4(2(3(1(4(0(1(1(0(0(1(1(0(1(1(2(x1))))))))))))))))))))
   3(3(0(2(0(0(1(3(0(2(2(2(4(0(3(1(1(0(0(2(x1)))))))))))))))))))) -> 4(0(2(1(3(2(4(0(1(4(1(1(0(2(0(0(2(2(4(2(x1))))))))))))))))))))
   3(3(0(4(4(2(4(0(4(0(4(2(0(2(2(2(4(0(3(2(x1)))))))))))))))))))) -> 0(1(0(1(1(1(4(4(0(1(3(2(2(4(1(4(3(4(2(2(x1))))))))))))))))))))
   3(3(3(1(3(4(3(0(3(1(3(2(2(4(0(3(4(2(0(2(x1)))))))))))))))))))) -> 4(0(4(1(0(2(4(3(4(2(3(2(3(3(3(0(1(0(4(2(x1))))))))))))))))))))
   3(3(3(2(1(1(3(3(4(2(4(3(2(2(0(3(0(4(2(2(x1)))))))))))))))))))) -> 1(3(4(2(4(4(4(3(2(4(4(0(3(3(4(0(4(2(2(1(x1))))))))))))))))))))
   3(3(3(4(1(1(4(2(3(0(3(4(4(1(2(3(4(1(4(2(x1)))))))))))))))))))) -> 0(2(4(3(1(2(3(4(1(2(0(1(1(3(3(4(1(0(1(2(x1))))))))))))))))))))
   3(4(0(2(2(1(1(0(3(3(1(3(2(2(2(1(1(2(0(2(x1)))))))))))))))))))) -> 3(0(2(3(4(2(0(2(1(4(0(3(3(2(4(1(2(4(1(2(x1))))))))))))))))))))
   3(4(2(2(4(4(0(3(1(4(1(0(4(0(1(0(2(1(0(2(x1)))))))))))))))))))) -> 0(2(4(1(2(0(3(0(2(3(4(1(1(4(0(3(3(2(4(2(x1))))))))))))))))))))
   3(4(4(2(1(1(4(3(4(3(0(3(3(3(2(2(0(3(1(2(x1)))))))))))))))))))) -> 2(4(0(3(2(3(1(4(3(2(2(2(0(1(0(2(3(2(3(2(x1))))))))))))))))))))
   4(0(1(3(3(2(4(3(3(2(0(0(1(2(3(4(2(3(3(2(x1)))))))))))))))))))) -> 2(4(3(0(3(0(1(4(2(1(4(3(2(1(3(2(3(1(2(2(x1))))))))))))))))))))
   4(0(1(4(1(2(1(3(4(2(4(3(3(2(1(1(4(4(2(2(x1)))))))))))))))))))) -> 4(2(3(4(2(4(1(1(1(2(0(1(1(4(0(0(1(3(2(1(x1))))))))))))))))))))
   4(1(0(2(0(0(0(2(3(4(0(4(2(0(2(0(3(4(3(2(x1)))))))))))))))))))) -> 2(1(1(1(4(2(2(0(0(4(1(2(2(2(0(0(2(4(0(2(x1))))))))))))))))))))
   4(1(1(3(2(3(0(3(3(3(4(2(4(4(4(1(0(2(0(2(x1)))))))))))))))))))) -> 4(4(4(4(1(0(0(3(1(4(0(4(4(0(3(0(1(3(2(2(x1))))))))))))))))))))
   4(1(1(4(4(0(1(2(1(0(0(4(4(2(3(3(3(1(3(2(x1)))))))))))))))))))) -> 3(1(0(4(2(4(4(1(2(4(3(3(2(2(1(4(3(3(4(2(x1))))))))))))))))))))
   4(1(3(4(3(2(2(1(1(2(3(0(4(1(1(3(4(3(4(2(x1)))))))))))))))))))) -> 2(4(2(1(1(4(0(2(3(0(0(4(2(4(4(0(3(3(1(2(x1))))))))))))))))))))
   4(2(1(1(0(1(0(0(2(0(3(2(1(0(0(3(0(1(2(2(x1)))))))))))))))))))) -> 0(0(4(1(0(1(4(2(4(1(0(0(0(1(4(1(3(3(2(1(x1))))))))))))))))))))
   4(2(3(0(3(4(1(1(1(1(0(4(1(1(1(3(4(4(2(2(x1)))))))))))))))))))) -> 2(0(3(3(2(4(4(2(1(1(4(1(1(0(0(2(4(0(0(2(x1))))))))))))))))))))
   4(3(0(3(2(3(0(4(3(1(3(4(2(0(3(4(3(2(2(1(x1)))))))))))))))))))) -> 0(3(4(3(3(2(4(1(0(0(1(0(0(2(0(3(2(0(2(2(x1))))))))))))))))))))
   4(3(1(0(2(1(0(4(4(0(3(1(0(0(3(0(4(3(1(2(x1)))))))))))))))))))) -> 0(1(3(4(0(2(0(0(3(0(0(3(1(2(4(3(1(1(3(2(x1))))))))))))))))))))
   4(3(1(1(2(2(1(3(1(0(0(1(1(0(4(2(3(3(0(2(x1)))))))))))))))))))) -> 0(3(3(1(4(1(1(2(1(2(1(3(1(3(1(4(2(2(4(2(x1))))))))))))))))))))
   4(3(3(0(2(4(1(2(2(3(0(0(2(0(0(1(0(3(1(2(x1)))))))))))))))))))) -> 4(0(2(3(1(1(4(3(3(1(1(4(0(2(3(2(2(0(1(2(x1))))))))))))))))))))
   4(3(4(0(2(4(3(2(3(3(1(3(3(4(2(4(0(4(1(2(x1)))))))))))))))))))) -> 4(4(3(4(1(0(4(4(3(0(2(1(4(2(1(1(4(4(1(2(x1))))))))))))))))))))
   4(4(2(4(0(0(2(3(4(3(3(1(4(2(2(3(1(0(2(1(x1)))))))))))))))))))) -> 4(4(1(4(4(4(1(1(4(0(2(3(2(3(1(2(2(1(2(1(x1))))))))))))))))))))
   4(4(3(1(1(3(4(3(2(3(1(1(0(0(0(0(0(0(2(1(x1)))))))))))))))))))) -> 0(4(0(1(3(0(2(4(3(1(2(2(3(2(0(0(4(4(1(2(x1))))))))))))))))))))
   4(4(3(3(4(0(1(0(1(4(0(0(2(3(3(4(0(0(2(1(x1)))))))))))))))))))) -> 1(0(1(2(0(1(1(1(1(2(0(0(1(4(3(2(2(4(3(2(x1))))))))))))))))))))
   encArg(cons_0(x_1)) -> 0(encArg(x_1))
   encArg(cons_1(x_1)) -> 1(encArg(x_1))
   encArg(cons_2(x_1)) -> 2(encArg(x_1))
   encArg(cons_3(x_1)) -> 3(encArg(x_1))
   encArg(cons_4(x_1)) -> 4(encArg(x_1))
   encode_0(x_1) -> 0(encArg(x_1))
   encode_1(x_1) -> 1(encArg(x_1))
   encode_2(x_1) -> 2(encArg(x_1))
   encode_3(x_1) -> 3(encArg(x_1))
   encode_4(x_1) -> 4(encArg(x_1))

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

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

(16)
Obligation:
The Runtime Complexity (full) of the given CpxRelTRS could be proven to be BOUNDS(1, INF).


The TRS R consists of the following rules:

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

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

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

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

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

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


The TRS R consists of the following rules:

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

   1'(c_1(c_3(c_4(c_0(c_1(c_4(c_2(c_0(c_3(c_4(c_4(c_0(c_0(c_3(c_0(c_1(c_2(c_3(c_2(x1)))))))))))))))))))) -> 3'(0'(4'(1'(1'(4'(0'(4'(1'(2'(1'(4'(2'(0'(4'(4'(3'(3'(2'(2'(x1)))))))))))))))))))) [1]
   2'(c_4(c_4(c_0(c_2(c_4(c_2(c_2(c_3(c_1(c_0(c_2(c_0(c_0(c_1(c_1(c_4(c_2(c_2(c_1(x1)))))))))))))))))))) -> 0'(2'(4'(1'(4'(4'(0'(2'(4'(1'(1'(4'(1'(3'(3'(0'(3'(2'(1'(2'(x1)))))))))))))))))))) [1]
   4'(c_2(c_3(c_0(c_3(c_4(c_1(c_1(c_1(c_1(c_0(c_4(c_1(c_1(c_1(c_3(c_4(c_4(c_2(c_2(x1)))))))))))))))))))) -> 2'(0'(3'(3'(2'(4'(4'(2'(1'(1'(4'(1'(1'(0'(0'(2'(4'(0'(0'(2'(x1)))))))))))))))))))) [1]
   3'(c_0(c_2(c_3(c_3(c_2(c_0(c_2(c_0(c_1(c_2(c_4(c_3(c_3(c_1(c_4(c_4(c_0(c_2(c_1(x1)))))))))))))))))))) -> 2'(0'(2'(1'(1'(1'(3'(3'(0'(4'(2'(4'(3'(0'(1'(1'(1'(4'(1'(2'(x1)))))))))))))))))))) [1]
   2'(c_0(c_4(c_4(c_0(c_3(c_3(c_2(c_4(c_0(c_1(c_4(c_2(c_4(c_4(c_4(c_2(c_2(c_2(c_2(x1)))))))))))))))))))) -> 0'(2'(2'(0'(1'(0'(4'(3'(0'(2'(4'(2'(2'(4'(3'(3'(1'(3'(1'(2'(x1)))))))))))))))))))) [1]
   3'(c_2(c_1(c_1(c_1(c_4(c_2(c_4(c_0(c_3(c_1(c_3(c_0(c_2(c_3(c_0(c_4(c_0(c_3(c_2(x1)))))))))))))))))))) -> 3'(0'(3'(0'(4'(3'(2'(2'(1'(1'(4'(4'(4'(3'(0'(2'(4'(2'(2'(2'(x1)))))))))))))))))))) [1]
   3'(c_3(c_0(c_2(c_0(c_0(c_1(c_3(c_0(c_2(c_2(c_2(c_4(c_0(c_3(c_1(c_1(c_0(c_0(c_2(x1)))))))))))))))))))) -> 4'(0'(2'(1'(3'(2'(4'(0'(1'(4'(1'(1'(0'(2'(0'(0'(2'(2'(4'(2'(x1)))))))))))))))))))) [1]
   1'(c_0(c_3(c_0(c_0(c_0(c_2(c_3(c_3(c_0(c_4(c_4(c_4(c_0(c_3(c_1(c_1(c_1(c_2(c_1(x1)))))))))))))))))))) -> 0'(3'(2'(2'(4'(3'(3'(1'(0'(0'(3'(3'(1'(0'(3'(3'(4'(4'(2'(2'(x1)))))))))))))))))))) [1]
   1'(c_2(c_0(c_4(c_1(c_4(c_3(c_0(c_0(c_0(c_3(c_2(c_4(c_4(c_1(c_3(c_0(c_2(c_3(c_2(x1)))))))))))))))))))) -> 1'(3'(2'(2'(0'(3'(2'(0'(0'(2'(4'(0'(1'(4'(2'(0'(2'(0'(1'(2'(x1)))))))))))))))))))) [1]
   4'(c_1(c_1(c_3(c_2(c_3(c_0(c_3(c_3(c_3(c_4(c_2(c_4(c_4(c_4(c_1(c_0(c_2(c_0(c_2(x1)))))))))))))))))))) -> 4'(4'(4'(4'(1'(0'(0'(3'(1'(4'(0'(4'(4'(0'(3'(0'(1'(3'(2'(2'(x1)))))))))))))))))))) [1]
   2'(c_3(c_2(c_0(c_0(c_1(c_0(c_3(c_3(c_1(c_4(c_1(c_3(c_0(c_0(c_3(c_2(c_3(c_4(c_2(x1)))))))))))))))))))) -> 1'(2'(4'(4'(0'(1'(1'(4'(4'(4'(2'(2'(4'(4'(3'(2'(0'(3'(4'(2'(x1)))))))))))))))))))) [1]
   3'(c_1(c_0(c_2(c_3(c_2(c_2(c_4(c_3(c_0(c_2(c_0(c_4(c_2(c_1(c_0(c_2(c_1(c_1(c_1(x1)))))))))))))))))))) -> 1'(4'(0'(1'(0'(4'(1'(1'(3'(4'(3'(2'(4'(4'(3'(2'(1'(1'(2'(2'(x1)))))))))))))))))))) [1]
   3'(c_3(c_0(c_4(c_4(c_2(c_4(c_0(c_4(c_0(c_4(c_2(c_0(c_2(c_2(c_2(c_4(c_0(c_3(c_2(x1)))))))))))))))))))) -> 0'(1'(0'(1'(1'(1'(4'(4'(0'(1'(3'(2'(2'(4'(1'(4'(3'(4'(2'(2'(x1)))))))))))))))))))) [1]
   0'(c_1(c_1(c_1(c_1(c_2(c_4(c_4(c_0(c_3(c_4(c_4(c_0(c_2(c_0(c_4(c_1(c_1(c_2(c_1(x1)))))))))))))))))))) -> 3'(1'(4'(3'(2'(4'(3'(3'(4'(0'(0'(2'(0'(3'(1'(0'(1'(0'(1'(2'(x1)))))))))))))))))))) [1]
   0'(c_4(c_0(c_2(c_0(c_1(c_2(c_1(c_4(c_3(c_1(c_4(c_3(c_3(c_1(c_0(c_3(c_3(c_1(c_2(x1)))))))))))))))))))) -> 2'(1'(0'(2'(2'(4'(0'(1'(4'(2'(3'(4'(0'(1'(2'(0'(2'(4'(4'(2'(x1)))))))))))))))))))) [1]
   2'(c_3(c_4(c_2(c_2(c_3(c_3(c_4(c_3(c_2(c_0(c_2(c_1(c_0(c_2(c_1(c_4(c_1(c_3(c_2(x1)))))))))))))))))))) -> 1'(4'(0'(4'(1'(3'(1'(1'(1'(1'(3'(0'(1'(0'(4'(1'(4'(2'(1'(1'(x1)))))))))))))))))))) [1]
   4'(c_2(c_1(c_1(c_0(c_1(c_0(c_0(c_2(c_0(c_3(c_2(c_1(c_0(c_0(c_3(c_0(c_1(c_2(c_2(x1)))))))))))))))))))) -> 0'(0'(4'(1'(0'(1'(4'(2'(4'(1'(0'(0'(0'(1'(4'(1'(3'(3'(2'(1'(x1)))))))))))))))))))) [1]
   0'(c_1(c_3(c_3(c_3(c_3(c_0(c_1(c_1(c_2(c_0(c_0(c_4(c_4(c_4(c_3(c_1(c_0(c_0(c_2(x1)))))))))))))))))))) -> 2'(0'(2'(4'(0'(2'(3'(4'(2'(0'(1'(0'(0'(3'(4'(3'(4'(0'(3'(2'(x1)))))))))))))))))))) [1]
   2'(c_1(c_2(c_3(c_3(c_2(c_2(c_1(c_2(c_3(c_3(c_2(c_0(c_4(c_3(c_4(c_1(c_0(c_1(c_2(x1)))))))))))))))))))) -> 3'(4'(1'(4'(0'(2'(0'(1'(2'(0'(4'(4'(1'(0'(2'(4'(1'(1'(1'(2'(x1)))))))))))))))))))) [1]
   2'(c_1(c_0(c_1(c_0(c_4(c_2(c_1(c_1(c_1(c_3(c_0(c_4(c_2(c_2(c_0(c_2(c_3(c_2(c_2(x1)))))))))))))))))))) -> 3'(2'(0'(3'(1'(3'(1'(2'(1'(2'(1'(1'(1'(3'(1'(1'(4'(1'(3'(2'(x1)))))))))))))))))))) [1]
   2'(c_2(c_2(c_1(c_4(c_3(c_0(c_3(c_2(c_4(c_0(c_4(c_0(c_4(c_1(c_0(c_4(c_2(c_2(c_1(x1)))))))))))))))))))) -> 1'(1'(4'(2'(4'(4'(2'(1'(2'(0'(3'(2'(1'(4'(3'(1'(3'(2'(4'(2'(x1)))))))))))))))))))) [1]
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   3'(c_0(c_3(c_0(c_0(c_0(c_2(c_0(c_1(c_2(c_2(c_4(c_0(c_1(c_2(c_0(c_3(c_2(c_2(c_2(x1)))))))))))))))))))) -> 4'(4'(2'(4'(4'(2'(4'(1'(4'(4'(2'(0'(3'(2'(1'(4'(4'(2'(4'(2'(x1)))))))))))))))))))) [1]
   3'(c_2(c_0(c_1(c_4(c_3(c_0(c_2(c_0(c_2(c_2(c_3(c_0(c_1(c_4(c_2(c_1(c_1(c_1(c_2(x1)))))))))))))))))))) -> 0'(3'(1'(2'(2'(2'(4'(0'(3'(0'(0'(3'(2'(4'(4'(2'(4'(3'(2'(1'(x1)))))))))))))))))))) [1]
   0'(c_2(c_0(c_0(c_0(c_4(c_0(c_3(c_1(c_2(c_2(c_4(c_4(c_3(c_3(c_2(c_2(c_2(c_3(c_2(x1)))))))))))))))))))) -> 3'(1'(2'(2'(4'(0'(2'(3'(1'(3'(4'(0'(4'(1'(3'(2'(3'(1'(2'(1'(x1)))))))))))))))))))) [1]
   2'(c_4(c_0(c_3(c_4(c_1(c_1(c_4(c_0(c_2(c_2(c_2(c_3(c_4(c_4(c_3(c_3(c_3(c_0(c_2(x1)))))))))))))))))))) -> 0'(1'(0'(0'(1'(1'(4'(3'(3'(0'(4'(2'(4'(1'(1'(3'(2'(2'(2'(2'(x1)))))))))))))))))))) [1]
   3'(c_1(c_1(c_2(c_0(c_3(c_2(c_0(c_4(c_0(c_0(c_4(c_3(c_4(c_3(c_1(c_1(c_2(c_1(c_1(x1)))))))))))))))))))) -> 4'(2'(0'(1'(2'(4'(3'(4'(4'(3'(3'(3'(1'(1'(3'(0'(4'(3'(4'(2'(x1)))))))))))))))))))) [1]
   3'(c_3(c_3(c_2(c_1(c_1(c_3(c_3(c_4(c_2(c_4(c_3(c_2(c_2(c_0(c_3(c_0(c_4(c_2(c_2(x1)))))))))))))))))))) -> 1'(3'(4'(2'(4'(4'(4'(3'(2'(4'(4'(0'(3'(3'(4'(0'(4'(2'(2'(1'(x1)))))))))))))))))))) [1]
   1'(c_2(c_4(c_4(c_4(c_3(c_1(c_0(c_0(c_2(c_0(c_0(c_4(c_0(c_4(c_4(c_3(c_1(c_0(c_2(x1)))))))))))))))))))) -> 1'(2'(4'(3'(0'(1'(1'(0'(0'(2'(0'(1'(1'(3'(2'(1'(4'(1'(0'(2'(x1)))))))))))))))))))) [1]
   1'(c_3(c_0(c_1(c_3(c_2(c_0(c_4(c_0(c_2(c_0(c_4(c_2(c_0(c_4(c_0(c_2(c_4(c_0(c_2(x1)))))))))))))))))))) -> 4'(3'(0'(3'(2'(2'(1'(3'(4'(0'(1'(0'(1'(2'(0'(1'(1'(4'(4'(2'(x1)))))))))))))))))))) [1]
   4'(c_1(c_1(c_4(c_4(c_0(c_1(c_2(c_1(c_0(c_0(c_4(c_4(c_2(c_3(c_3(c_3(c_1(c_3(c_2(x1)))))))))))))))))))) -> 3'(1'(0'(4'(2'(4'(4'(1'(2'(4'(3'(3'(2'(2'(1'(4'(3'(3'(4'(2'(x1)))))))))))))))))))) [1]
   3'(c_0(c_1(c_2(c_3(c_0(c_1(c_2(c_2(c_2(c_0(c_2(c_3(c_3(c_3(c_4(c_3(c_3(c_2(c_1(x1)))))))))))))))))))) -> 0'(2'(3'(1'(3'(1'(0'(1'(2'(1'(1'(1'(1'(3'(3'(4'(4'(0'(3'(2'(x1)))))))))))))))))))) [1]
   1'(c_1(c_0(c_3(c_4(c_3(c_2(c_3(c_2(c_3(c_4(c_3(c_2(c_1(c_4(c_4(c_2(c_3(c_0(c_2(x1)))))))))))))))))))) -> 0'(3'(0'(3'(4'(0'(0'(1'(0'(2'(1'(2'(4'(0'(3'(0'(3'(0'(2'(2'(x1)))))))))))))))))))) [1]
   4'(c_3(c_1(c_0(c_2(c_1(c_0(c_4(c_4(c_0(c_3(c_1(c_0(c_0(c_3(c_0(c_4(c_3(c_1(c_2(x1)))))))))))))))))))) -> 0'(1'(3'(4'(0'(2'(0'(0'(3'(0'(0'(3'(1'(2'(4'(3'(1'(1'(3'(2'(x1)))))))))))))))))))) [1]
   3'(c_2(c_3(c_1(c_0(c_1(c_4(c_2(c_4(c_3(c_1(c_0(c_4(c_1(c_4(c_3(c_3(c_1(c_0(c_2(x1)))))))))))))))))))) -> 0'(0'(1'(2'(2'(0'(4'(4'(4'(1'(0'(2'(4'(1'(4'(4'(0'(1'(1'(2'(x1)))))))))))))))))))) [1]
   2'(c_0(c_0(c_1(c_2(c_3(c_2(c_3(c_0(c_1(c_2(c_4(c_2(c_2(c_1(c_0(c_0(c_3(c_2(c_1(x1)))))))))))))))))))) -> 2'(4'(0'(1'(1'(2'(3'(0'(0'(4'(3'(0'(1'(0'(4'(2'(4'(3'(4'(2'(x1)))))))))))))))))))) [1]
   2'(c_0(c_2(c_1(c_3(c_3(c_4(c_0(c_1(c_1(c_2(c_0(c_3(c_1(c_3(c_0(c_1(c_2(c_1(c_2(x1)))))))))))))))))))) -> 2'(2'(2'(0'(1'(1'(4'(3'(2'(0'(2'(3'(3'(3'(1'(1'(2'(2'(4'(2'(x1)))))))))))))))))))) [1]
   1'(c_4(c_0(c_2(c_3(c_0(c_0(c_4(c_4(c_1(c_0(c_0(c_1(c_0(c_2(c_2(c_1(c_1(c_3(c_2(x1)))))))))))))))))))) -> 4'(2'(4'(1'(4'(0'(3'(0'(4'(3'(0'(3'(3'(1'(3'(0'(2'(1'(2'(1'(x1)))))))))))))))))))) [1]
   4'(c_0(c_1(c_4(c_1(c_2(c_1(c_3(c_4(c_2(c_4(c_3(c_3(c_2(c_1(c_1(c_4(c_4(c_2(c_2(x1)))))))))))))))))))) -> 4'(2'(3'(4'(2'(4'(1'(1'(1'(2'(0'(1'(1'(4'(0'(0'(1'(3'(2'(1'(x1)))))))))))))))))))) [1]
   4'(c_3(c_1(c_1(c_2(c_2(c_1(c_3(c_1(c_0(c_0(c_1(c_1(c_0(c_4(c_2(c_3(c_3(c_0(c_2(x1)))))))))))))))))))) -> 0'(3'(3'(1'(4'(1'(1'(2'(1'(2'(1'(3'(1'(3'(1'(4'(2'(2'(4'(2'(x1)))))))))))))))))))) [1]
   3'(c_1(c_3(c_2(c_2(c_4(c_1(c_0(c_3(c_1(c_3(c_0(c_2(c_0(c_0(c_0(c_3(c_3(c_2(c_1(x1)))))))))))))))))))) -> 1'(3'(0'(2'(1'(3'(2'(1'(4'(2'(2'(2'(3'(4'(4'(0'(2'(4'(3'(2'(x1)))))))))))))))))))) [1]
   0'(c_1(c_1(c_1(c_0(c_4(c_1(c_0(c_1(c_2(c_1(c_0(c_1(c_4(c_1(c_1(c_2(c_4(c_4(c_2(x1)))))))))))))))))))) -> 4'(4'(1'(2'(4'(0'(4'(1'(0'(1'(4'(2'(2'(2'(3'(1'(1'(4'(0'(2'(x1)))))))))))))))))))) [1]
   0'(c_3(c_3(c_4(c_1(c_4(c_2(c_3(c_2(c_3(c_0(c_4(c_2(c_3(c_3(c_2(c_2(c_2(c_2(c_1(x1)))))))))))))))))))) -> 0'(4'(2'(4'(4'(3'(0'(0'(0'(3'(3'(2'(4'(4'(4'(0'(0'(2'(3'(2'(x1)))))))))))))))))))) [1]
   2'(c_2(c_1(c_2(c_3(c_3(c_2(c_0(c_3(c_0(c_2(c_0(c_4(c_2(c_4(c_1(c_2(c_3(c_0(c_2(x1)))))))))))))))))))) -> 0'(4'(1'(0'(2'(2'(1'(0'(3'(3'(4'(2'(1'(4'(1'(2'(1'(4'(1'(2'(x1)))))))))))))))))))) [1]
   0'(c_1(c_2(c_2(c_0(c_3(c_1(c_1(c_3(c_2(c_1(c_1(c_1(c_1(c_3(c_4(c_2(c_3(c_0(c_2(x1)))))))))))))))))))) -> 4'(2'(4'(3'(3'(2'(3'(2'(4'(1'(0'(2'(3'(1'(4'(2'(1'(4'(3'(2'(x1)))))))))))))))))))) [1]
   2'(c_1(c_2(c_0(c_3(c_1(c_4(c_2(c_3(c_0(c_1(c_1(c_4(c_4(c_2(c_0(c_4(c_3(c_2(c_1(x1)))))))))))))))))))) -> 1'(2'(3'(4'(0'(1'(4'(3'(1'(1'(1'(4'(1'(4'(0'(0'(2'(1'(4'(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:
1' :: c_2:c_3:c_1:c_0:c_4 -> c_2:c_3:c_1:c_0:c_4
c_1 :: c_2:c_3:c_1:c_0:c_4 -> c_2:c_3:c_1:c_0:c_4
c_3 :: c_2:c_3:c_1:c_0:c_4 -> c_2:c_3:c_1:c_0:c_4
c_4 :: c_2:c_3:c_1:c_0:c_4 -> c_2:c_3:c_1:c_0:c_4
c_0 :: c_2:c_3:c_1:c_0:c_4 -> c_2:c_3:c_1:c_0:c_4
c_2 :: c_2:c_3:c_1:c_0:c_4 -> c_2:c_3:c_1:c_0:c_4
3' :: c_2:c_3:c_1:c_0:c_4 -> c_2:c_3:c_1:c_0:c_4
0' :: c_2:c_3:c_1:c_0:c_4 -> c_2:c_3:c_1:c_0:c_4
4' :: c_2:c_3:c_1:c_0:c_4 -> c_2:c_3:c_1:c_0:c_4
2' :: c_2:c_3:c_1:c_0:c_4 -> c_2:c_3:c_1:c_0:c_4
encArg :: cons_0:cons_1:cons_2:cons_3:cons_4 -> c_2:c_3:c_1:c_0:c_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_2:c_3:c_1:c_0:c_4
encode_1 :: cons_0:cons_1:cons_2:cons_3:cons_4 -> c_2:c_3:c_1:c_0:c_4
encode_2 :: cons_0:cons_1:cons_2:cons_3:cons_4 -> c_2:c_3:c_1:c_0:c_4
encode_3 :: cons_0:cons_1:cons_2:cons_3:cons_4 -> c_2:c_3:c_1:c_0:c_4
encode_4 :: cons_0:cons_1:cons_2:cons_3:cons_4 -> c_2:c_3:c_1:c_0:c_4

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

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

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

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

(c) The following functions are completely defined:

   encArg_1
   encode_0_1
   encode_1_1
   encode_2_1
   encode_3_1
   encode_4_1
   0'_1
   1'_1
   2'_1
   3'_1
   4'_1

Due to the following rules being added:

   encArg(v0) -> const [0]
   encode_0(v0) -> const [0]
   encode_1(v0) -> const [0]
   encode_2(v0) -> const [0]
   encode_3(v0) -> const [0]
   encode_4(v0) -> const [0]
   0'(v0) -> const [0]
   1'(v0) -> const [0]
   2'(v0) -> const [0]
   3'(v0) -> const [0]
   4'(v0) -> const [0]

And the following fresh constants:    const, const1

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

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

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

   1'(c_1(c_3(c_4(c_0(c_1(c_4(c_2(c_0(c_3(c_4(c_4(c_0(c_0(c_3(c_0(c_1(c_2(c_3(c_2(x1)))))))))))))))))))) -> 3'(0'(4'(1'(1'(4'(0'(4'(1'(2'(1'(4'(2'(0'(4'(4'(3'(3'(2'(2'(x1)))))))))))))))))))) [1]
   2'(c_4(c_4(c_0(c_2(c_4(c_2(c_2(c_3(c_1(c_0(c_2(c_0(c_0(c_1(c_1(c_4(c_2(c_2(c_1(x1)))))))))))))))))))) -> 0'(2'(4'(1'(4'(4'(0'(2'(4'(1'(1'(4'(1'(3'(3'(0'(3'(2'(1'(2'(x1)))))))))))))))))))) [1]
   4'(c_2(c_3(c_0(c_3(c_4(c_1(c_1(c_1(c_1(c_0(c_4(c_1(c_1(c_1(c_3(c_4(c_4(c_2(c_2(x1)))))))))))))))))))) -> 2'(0'(3'(3'(2'(4'(4'(2'(1'(1'(4'(1'(1'(0'(0'(2'(4'(0'(0'(2'(x1)))))))))))))))))))) [1]
   3'(c_0(c_2(c_3(c_3(c_2(c_0(c_2(c_0(c_1(c_2(c_4(c_3(c_3(c_1(c_4(c_4(c_0(c_2(c_1(x1)))))))))))))))))))) -> 2'(0'(2'(1'(1'(1'(3'(3'(0'(4'(2'(4'(3'(0'(1'(1'(1'(4'(1'(2'(x1)))))))))))))))))))) [1]
   2'(c_0(c_4(c_4(c_0(c_3(c_3(c_2(c_4(c_0(c_1(c_4(c_2(c_4(c_4(c_4(c_2(c_2(c_2(c_2(x1)))))))))))))))))))) -> 0'(2'(2'(0'(1'(0'(4'(3'(0'(2'(4'(2'(2'(4'(3'(3'(1'(3'(1'(2'(x1)))))))))))))))))))) [1]
   3'(c_2(c_1(c_1(c_1(c_4(c_2(c_4(c_0(c_3(c_1(c_3(c_0(c_2(c_3(c_0(c_4(c_0(c_3(c_2(x1)))))))))))))))))))) -> 3'(0'(3'(0'(4'(3'(2'(2'(1'(1'(4'(4'(4'(3'(0'(2'(4'(2'(2'(2'(x1)))))))))))))))))))) [1]
   3'(c_3(c_0(c_2(c_0(c_0(c_1(c_3(c_0(c_2(c_2(c_2(c_4(c_0(c_3(c_1(c_1(c_0(c_0(c_2(x1)))))))))))))))))))) -> 4'(0'(2'(1'(3'(2'(4'(0'(1'(4'(1'(1'(0'(2'(0'(0'(2'(2'(4'(2'(x1)))))))))))))))))))) [1]
   1'(c_0(c_3(c_0(c_0(c_0(c_2(c_3(c_3(c_0(c_4(c_4(c_4(c_0(c_3(c_1(c_1(c_1(c_2(c_1(x1)))))))))))))))))))) -> 0'(3'(2'(2'(4'(3'(3'(1'(0'(0'(3'(3'(1'(0'(3'(3'(4'(4'(2'(2'(x1)))))))))))))))))))) [1]
   1'(c_2(c_0(c_4(c_1(c_4(c_3(c_0(c_0(c_0(c_3(c_2(c_4(c_4(c_1(c_3(c_0(c_2(c_3(c_2(x1)))))))))))))))))))) -> 1'(3'(2'(2'(0'(3'(2'(0'(0'(2'(4'(0'(1'(4'(2'(0'(2'(0'(1'(2'(x1)))))))))))))))))))) [1]
   4'(c_1(c_1(c_3(c_2(c_3(c_0(c_3(c_3(c_3(c_4(c_2(c_4(c_4(c_4(c_1(c_0(c_2(c_0(c_2(x1)))))))))))))))))))) -> 4'(4'(4'(4'(1'(0'(0'(3'(1'(4'(0'(4'(4'(0'(3'(0'(1'(3'(2'(2'(x1)))))))))))))))))))) [1]
   2'(c_3(c_2(c_0(c_0(c_1(c_0(c_3(c_3(c_1(c_4(c_1(c_3(c_0(c_0(c_3(c_2(c_3(c_4(c_2(x1)))))))))))))))))))) -> 1'(2'(4'(4'(0'(1'(1'(4'(4'(4'(2'(2'(4'(4'(3'(2'(0'(3'(4'(2'(x1)))))))))))))))))))) [1]
   3'(c_1(c_0(c_2(c_3(c_2(c_2(c_4(c_3(c_0(c_2(c_0(c_4(c_2(c_1(c_0(c_2(c_1(c_1(c_1(x1)))))))))))))))))))) -> 1'(4'(0'(1'(0'(4'(1'(1'(3'(4'(3'(2'(4'(4'(3'(2'(1'(1'(2'(2'(x1)))))))))))))))))))) [1]
   3'(c_3(c_0(c_4(c_4(c_2(c_4(c_0(c_4(c_0(c_4(c_2(c_0(c_2(c_2(c_2(c_4(c_0(c_3(c_2(x1)))))))))))))))))))) -> 0'(1'(0'(1'(1'(1'(4'(4'(0'(1'(3'(2'(2'(4'(1'(4'(3'(4'(2'(2'(x1)))))))))))))))))))) [1]
   0'(c_1(c_1(c_1(c_1(c_2(c_4(c_4(c_0(c_3(c_4(c_4(c_0(c_2(c_0(c_4(c_1(c_1(c_2(c_1(x1)))))))))))))))))))) -> 3'(1'(4'(3'(2'(4'(3'(3'(4'(0'(0'(2'(0'(3'(1'(0'(1'(0'(1'(2'(x1)))))))))))))))))))) [1]
   0'(c_4(c_0(c_2(c_0(c_1(c_2(c_1(c_4(c_3(c_1(c_4(c_3(c_3(c_1(c_0(c_3(c_3(c_1(c_2(x1)))))))))))))))))))) -> 2'(1'(0'(2'(2'(4'(0'(1'(4'(2'(3'(4'(0'(1'(2'(0'(2'(4'(4'(2'(x1)))))))))))))))))))) [1]
   2'(c_3(c_4(c_2(c_2(c_3(c_3(c_4(c_3(c_2(c_0(c_2(c_1(c_0(c_2(c_1(c_4(c_1(c_3(c_2(x1)))))))))))))))))))) -> 1'(4'(0'(4'(1'(3'(1'(1'(1'(1'(3'(0'(1'(0'(4'(1'(4'(2'(1'(1'(x1)))))))))))))))))))) [1]
   4'(c_2(c_1(c_1(c_0(c_1(c_0(c_0(c_2(c_0(c_3(c_2(c_1(c_0(c_0(c_3(c_0(c_1(c_2(c_2(x1)))))))))))))))))))) -> 0'(0'(4'(1'(0'(1'(4'(2'(4'(1'(0'(0'(0'(1'(4'(1'(3'(3'(2'(1'(x1)))))))))))))))))))) [1]
   0'(c_1(c_3(c_3(c_3(c_3(c_0(c_1(c_1(c_2(c_0(c_0(c_4(c_4(c_4(c_3(c_1(c_0(c_0(c_2(x1)))))))))))))))))))) -> 2'(0'(2'(4'(0'(2'(3'(4'(2'(0'(1'(0'(0'(3'(4'(3'(4'(0'(3'(2'(x1)))))))))))))))))))) [1]
   2'(c_1(c_2(c_3(c_3(c_2(c_2(c_1(c_2(c_3(c_3(c_2(c_0(c_4(c_3(c_4(c_1(c_0(c_1(c_2(x1)))))))))))))))))))) -> 3'(4'(1'(4'(0'(2'(0'(1'(2'(0'(4'(4'(1'(0'(2'(4'(1'(1'(1'(2'(x1)))))))))))))))))))) [1]
   2'(c_1(c_0(c_1(c_0(c_4(c_2(c_1(c_1(c_1(c_3(c_0(c_4(c_2(c_2(c_0(c_2(c_3(c_2(c_2(x1)))))))))))))))))))) -> 3'(2'(0'(3'(1'(3'(1'(2'(1'(2'(1'(1'(1'(3'(1'(1'(4'(1'(3'(2'(x1)))))))))))))))))))) [1]
   2'(c_2(c_2(c_1(c_4(c_3(c_0(c_3(c_2(c_4(c_0(c_4(c_0(c_4(c_1(c_0(c_4(c_2(c_2(c_1(x1)))))))))))))))))))) -> 1'(1'(4'(2'(4'(4'(2'(1'(2'(0'(3'(2'(1'(4'(3'(1'(3'(2'(4'(2'(x1)))))))))))))))))))) [1]
   2'(c_4(c_2(c_0(c_3(c_2(c_2(c_4(c_4(c_3(c_0(c_1(c_0(c_3(c_2(c_3(c_2(c_2(c_4(c_2(x1)))))))))))))))))))) -> 3'(0'(4'(0'(2'(4'(1'(0'(3'(2'(3'(0'(0'(2'(4'(2'(4'(1'(0'(2'(x1)))))))))))))))))))) [1]
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   3'(c_2(c_0(c_1(c_4(c_3(c_0(c_2(c_0(c_2(c_2(c_3(c_0(c_1(c_4(c_2(c_1(c_1(c_1(c_2(x1)))))))))))))))))))) -> 0'(3'(1'(2'(2'(2'(4'(0'(3'(0'(0'(3'(2'(4'(4'(2'(4'(3'(2'(1'(x1)))))))))))))))))))) [1]
   0'(c_2(c_0(c_0(c_0(c_4(c_0(c_3(c_1(c_2(c_2(c_4(c_4(c_3(c_3(c_2(c_2(c_2(c_3(c_2(x1)))))))))))))))))))) -> 3'(1'(2'(2'(4'(0'(2'(3'(1'(3'(4'(0'(4'(1'(3'(2'(3'(1'(2'(1'(x1)))))))))))))))))))) [1]
   2'(c_4(c_0(c_3(c_4(c_1(c_1(c_4(c_0(c_2(c_2(c_2(c_3(c_4(c_4(c_3(c_3(c_3(c_0(c_2(x1)))))))))))))))))))) -> 0'(1'(0'(0'(1'(1'(4'(3'(3'(0'(4'(2'(4'(1'(1'(3'(2'(2'(2'(2'(x1)))))))))))))))))))) [1]
   3'(c_1(c_1(c_2(c_0(c_3(c_2(c_0(c_4(c_0(c_0(c_4(c_3(c_4(c_3(c_1(c_1(c_2(c_1(c_1(x1)))))))))))))))))))) -> 4'(2'(0'(1'(2'(4'(3'(4'(4'(3'(3'(3'(1'(1'(3'(0'(4'(3'(4'(2'(x1)))))))))))))))))))) [1]
   3'(c_3(c_3(c_2(c_1(c_1(c_3(c_3(c_4(c_2(c_4(c_3(c_2(c_2(c_0(c_3(c_0(c_4(c_2(c_2(x1)))))))))))))))))))) -> 1'(3'(4'(2'(4'(4'(4'(3'(2'(4'(4'(0'(3'(3'(4'(0'(4'(2'(2'(1'(x1)))))))))))))))))))) [1]
   1'(c_2(c_4(c_4(c_4(c_3(c_1(c_0(c_0(c_2(c_0(c_0(c_4(c_0(c_4(c_4(c_3(c_1(c_0(c_2(x1)))))))))))))))))))) -> 1'(2'(4'(3'(0'(1'(1'(0'(0'(2'(0'(1'(1'(3'(2'(1'(4'(1'(0'(2'(x1)))))))))))))))))))) [1]
   1'(c_3(c_0(c_1(c_3(c_2(c_0(c_4(c_0(c_2(c_0(c_4(c_2(c_0(c_4(c_0(c_2(c_4(c_0(c_2(x1)))))))))))))))))))) -> 4'(3'(0'(3'(2'(2'(1'(3'(4'(0'(1'(0'(1'(2'(0'(1'(1'(4'(4'(2'(x1)))))))))))))))))))) [1]
   4'(c_1(c_1(c_4(c_4(c_0(c_1(c_2(c_1(c_0(c_0(c_4(c_4(c_2(c_3(c_3(c_3(c_1(c_3(c_2(x1)))))))))))))))))))) -> 3'(1'(0'(4'(2'(4'(4'(1'(2'(4'(3'(3'(2'(2'(1'(4'(3'(3'(4'(2'(x1)))))))))))))))))))) [1]
   3'(c_0(c_1(c_2(c_3(c_0(c_1(c_2(c_2(c_2(c_0(c_2(c_3(c_3(c_3(c_4(c_3(c_3(c_2(c_1(x1)))))))))))))))))))) -> 0'(2'(3'(1'(3'(1'(0'(1'(2'(1'(1'(1'(1'(3'(3'(4'(4'(0'(3'(2'(x1)))))))))))))))))))) [1]
   1'(c_1(c_0(c_3(c_4(c_3(c_2(c_3(c_2(c_3(c_4(c_3(c_2(c_1(c_4(c_4(c_2(c_3(c_0(c_2(x1)))))))))))))))))))) -> 0'(3'(0'(3'(4'(0'(0'(1'(0'(2'(1'(2'(4'(0'(3'(0'(3'(0'(2'(2'(x1)))))))))))))))))))) [1]
   4'(c_3(c_1(c_0(c_2(c_1(c_0(c_4(c_4(c_0(c_3(c_1(c_0(c_0(c_3(c_0(c_4(c_3(c_1(c_2(x1)))))))))))))))))))) -> 0'(1'(3'(4'(0'(2'(0'(0'(3'(0'(0'(3'(1'(2'(4'(3'(1'(1'(3'(2'(x1)))))))))))))))))))) [1]
   3'(c_2(c_3(c_1(c_0(c_1(c_4(c_2(c_4(c_3(c_1(c_0(c_4(c_1(c_4(c_3(c_3(c_1(c_0(c_2(x1)))))))))))))))))))) -> 0'(0'(1'(2'(2'(0'(4'(4'(4'(1'(0'(2'(4'(1'(4'(4'(0'(1'(1'(2'(x1)))))))))))))))))))) [1]
   2'(c_0(c_0(c_1(c_2(c_3(c_2(c_3(c_0(c_1(c_2(c_4(c_2(c_2(c_1(c_0(c_0(c_3(c_2(c_1(x1)))))))))))))))))))) -> 2'(4'(0'(1'(1'(2'(3'(0'(0'(4'(3'(0'(1'(0'(4'(2'(4'(3'(4'(2'(x1)))))))))))))))))))) [1]
   2'(c_0(c_2(c_1(c_3(c_3(c_4(c_0(c_1(c_1(c_2(c_0(c_3(c_1(c_3(c_0(c_1(c_2(c_1(c_2(x1)))))))))))))))))))) -> 2'(2'(2'(0'(1'(1'(4'(3'(2'(0'(2'(3'(3'(3'(1'(1'(2'(2'(4'(2'(x1)))))))))))))))))))) [1]
   1'(c_4(c_0(c_2(c_3(c_0(c_0(c_4(c_4(c_1(c_0(c_0(c_1(c_0(c_2(c_2(c_1(c_1(c_3(c_2(x1)))))))))))))))))))) -> 4'(2'(4'(1'(4'(0'(3'(0'(4'(3'(0'(3'(3'(1'(3'(0'(2'(1'(2'(1'(x1)))))))))))))))))))) [1]
   4'(c_0(c_1(c_4(c_1(c_2(c_1(c_3(c_4(c_2(c_4(c_3(c_3(c_2(c_1(c_1(c_4(c_4(c_2(c_2(x1)))))))))))))))))))) -> 4'(2'(3'(4'(2'(4'(1'(1'(1'(2'(0'(1'(1'(4'(0'(0'(1'(3'(2'(1'(x1)))))))))))))))))))) [1]
   4'(c_3(c_1(c_1(c_2(c_2(c_1(c_3(c_1(c_0(c_0(c_1(c_1(c_0(c_4(c_2(c_3(c_3(c_0(c_2(x1)))))))))))))))))))) -> 0'(3'(3'(1'(4'(1'(1'(2'(1'(2'(1'(3'(1'(3'(1'(4'(2'(2'(4'(2'(x1)))))))))))))))))))) [1]
   3'(c_1(c_3(c_2(c_2(c_4(c_1(c_0(c_3(c_1(c_3(c_0(c_2(c_0(c_0(c_0(c_3(c_3(c_2(c_1(x1)))))))))))))))))))) -> 1'(3'(0'(2'(1'(3'(2'(1'(4'(2'(2'(2'(3'(4'(4'(0'(2'(4'(3'(2'(x1)))))))))))))))))))) [1]
   0'(c_1(c_1(c_1(c_0(c_4(c_1(c_0(c_1(c_2(c_1(c_0(c_1(c_4(c_1(c_1(c_2(c_4(c_4(c_2(x1)))))))))))))))))))) -> 4'(4'(1'(2'(4'(0'(4'(1'(0'(1'(4'(2'(2'(2'(3'(1'(1'(4'(0'(2'(x1)))))))))))))))))))) [1]
   0'(c_3(c_3(c_4(c_1(c_4(c_2(c_3(c_2(c_3(c_0(c_4(c_2(c_3(c_3(c_2(c_2(c_2(c_2(c_1(x1)))))))))))))))))))) -> 0'(4'(2'(4'(4'(3'(0'(0'(0'(3'(3'(2'(4'(4'(4'(0'(0'(2'(3'(2'(x1)))))))))))))))))))) [1]
   2'(c_2(c_1(c_2(c_3(c_3(c_2(c_0(c_3(c_0(c_2(c_0(c_4(c_2(c_4(c_1(c_2(c_3(c_0(c_2(x1)))))))))))))))))))) -> 0'(4'(1'(0'(2'(2'(1'(0'(3'(3'(4'(2'(1'(4'(1'(2'(1'(4'(1'(2'(x1)))))))))))))))))))) [1]
   0'(c_1(c_2(c_2(c_0(c_3(c_1(c_1(c_3(c_2(c_1(c_1(c_1(c_1(c_3(c_4(c_2(c_3(c_0(c_2(x1)))))))))))))))))))) -> 4'(2'(4'(3'(3'(2'(3'(2'(4'(1'(0'(2'(3'(1'(4'(2'(1'(4'(3'(2'(x1)))))))))))))))))))) [1]
   2'(c_1(c_2(c_0(c_3(c_1(c_4(c_2(c_3(c_0(c_1(c_1(c_4(c_4(c_2(c_0(c_4(c_3(c_2(c_1(x1)))))))))))))))))))) -> 1'(2'(3'(4'(0'(1'(4'(3'(1'(1'(1'(4'(1'(4'(0'(0'(2'(1'(4'(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:
1' :: c_2:c_3:c_1:c_0:c_4:const -> c_2:c_3:c_1:c_0:c_4:const
c_1 :: c_2:c_3:c_1:c_0:c_4:const -> c_2:c_3:c_1:c_0:c_4:const
c_3 :: c_2:c_3:c_1:c_0:c_4:const -> c_2:c_3:c_1:c_0:c_4:const
c_4 :: c_2:c_3:c_1:c_0:c_4:const -> c_2:c_3:c_1:c_0:c_4:const
c_0 :: c_2:c_3:c_1:c_0:c_4:const -> c_2:c_3:c_1:c_0:c_4:const
c_2 :: c_2:c_3:c_1:c_0:c_4:const -> c_2:c_3:c_1:c_0:c_4:const
3' :: c_2:c_3:c_1:c_0:c_4:const -> c_2:c_3:c_1:c_0:c_4:const
0' :: c_2:c_3:c_1:c_0:c_4:const -> c_2:c_3:c_1:c_0:c_4:const
4' :: c_2:c_3:c_1:c_0:c_4:const -> c_2:c_3:c_1:c_0:c_4:const
2' :: c_2:c_3:c_1:c_0:c_4:const -> c_2:c_3:c_1:c_0:c_4:const
encArg :: cons_0:cons_1:cons_2:cons_3:cons_4 -> c_2:c_3:c_1:c_0:c_4: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_2:c_3:c_1:c_0:c_4:const
encode_1 :: cons_0:cons_1:cons_2:cons_3:cons_4 -> c_2:c_3:c_1:c_0:c_4:const
encode_2 :: cons_0:cons_1:cons_2:cons_3:cons_4 -> c_2:c_3:c_1:c_0:c_4:const
encode_3 :: cons_0:cons_1:cons_2:cons_3:cons_4 -> c_2:c_3:c_1:c_0:c_4:const
encode_4 :: cons_0:cons_1:cons_2:cons_3:cons_4 -> c_2:c_3:c_1:c_0:c_4:const
const :: c_2:c_3:c_1:c_0:c_4:const
const1 :: cons_0:cons_1:cons_2:cons_3:cons_4

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

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

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

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

   1'(c_1(c_3(c_4(c_0(c_1(c_4(c_2(c_0(c_3(c_4(c_4(c_0(c_0(c_3(c_0(c_1(c_2(c_3(c_2(x1)))))))))))))))))))) -> 3'(0'(4'(1'(1'(4'(0'(4'(1'(2'(1'(4'(2'(0'(4'(4'(3'(3'(2'(2'(x1)))))))))))))))))))) [1]
   2'(c_4(c_4(c_0(c_2(c_4(c_2(c_2(c_3(c_1(c_0(c_2(c_0(c_0(c_1(c_1(c_4(c_2(c_2(c_1(x1)))))))))))))))))))) -> 0'(2'(4'(1'(4'(4'(0'(2'(4'(1'(1'(4'(1'(3'(3'(0'(3'(2'(1'(2'(x1)))))))))))))))))))) [1]
   4'(c_2(c_3(c_0(c_3(c_4(c_1(c_1(c_1(c_1(c_0(c_4(c_1(c_1(c_1(c_3(c_4(c_4(c_2(c_2(x1)))))))))))))))))))) -> 2'(0'(3'(3'(2'(4'(4'(2'(1'(1'(4'(1'(1'(0'(0'(2'(4'(0'(0'(2'(x1)))))))))))))))))))) [1]
   3'(c_0(c_2(c_3(c_3(c_2(c_0(c_2(c_0(c_1(c_2(c_4(c_3(c_3(c_1(c_4(c_4(c_0(c_2(c_1(x1)))))))))))))))))))) -> 2'(0'(2'(1'(1'(1'(3'(3'(0'(4'(2'(4'(3'(0'(1'(1'(1'(4'(1'(2'(x1)))))))))))))))))))) [1]
   2'(c_0(c_4(c_4(c_0(c_3(c_3(c_2(c_4(c_0(c_1(c_4(c_2(c_4(c_4(c_4(c_2(c_2(c_2(c_2(x1)))))))))))))))))))) -> 0'(2'(2'(0'(1'(0'(4'(3'(0'(2'(4'(2'(2'(4'(3'(3'(1'(3'(1'(2'(x1)))))))))))))))))))) [1]
   3'(c_2(c_1(c_1(c_1(c_4(c_2(c_4(c_0(c_3(c_1(c_3(c_0(c_2(c_3(c_0(c_4(c_0(c_3(c_2(x1)))))))))))))))))))) -> 3'(0'(3'(0'(4'(3'(2'(2'(1'(1'(4'(4'(4'(3'(0'(2'(4'(2'(2'(2'(x1)))))))))))))))))))) [1]
   3'(c_3(c_0(c_2(c_0(c_0(c_1(c_3(c_0(c_2(c_2(c_2(c_4(c_0(c_3(c_1(c_1(c_0(c_0(c_2(x1)))))))))))))))))))) -> 4'(0'(2'(1'(3'(2'(4'(0'(1'(4'(1'(1'(0'(2'(0'(0'(2'(2'(4'(2'(x1)))))))))))))))))))) [1]
   1'(c_0(c_3(c_0(c_0(c_0(c_2(c_3(c_3(c_0(c_4(c_4(c_4(c_0(c_3(c_1(c_1(c_1(c_2(c_1(x1)))))))))))))))))))) -> 0'(3'(2'(2'(4'(3'(3'(1'(0'(0'(3'(3'(1'(0'(3'(3'(4'(4'(2'(2'(x1)))))))))))))))))))) [1]
   1'(c_2(c_0(c_4(c_1(c_4(c_3(c_0(c_0(c_0(c_3(c_2(c_4(c_4(c_1(c_3(c_0(c_2(c_3(c_2(x1)))))))))))))))))))) -> 1'(3'(2'(2'(0'(3'(2'(0'(0'(2'(4'(0'(1'(4'(2'(0'(2'(0'(1'(2'(x1)))))))))))))))))))) [1]
   4'(c_1(c_1(c_3(c_2(c_3(c_0(c_3(c_3(c_3(c_4(c_2(c_4(c_4(c_4(c_1(c_0(c_2(c_0(c_2(x1)))))))))))))))))))) -> 4'(4'(4'(4'(1'(0'(0'(3'(1'(4'(0'(4'(4'(0'(3'(0'(1'(3'(2'(2'(x1)))))))))))))))))))) [1]
   2'(c_3(c_2(c_0(c_0(c_1(c_0(c_3(c_3(c_1(c_4(c_1(c_3(c_0(c_0(c_3(c_2(c_3(c_4(c_2(x1)))))))))))))))))))) -> 1'(2'(4'(4'(0'(1'(1'(4'(4'(4'(2'(2'(4'(4'(3'(2'(0'(3'(4'(2'(x1)))))))))))))))))))) [1]
   3'(c_1(c_0(c_2(c_3(c_2(c_2(c_4(c_3(c_0(c_2(c_0(c_4(c_2(c_1(c_0(c_2(c_1(c_1(c_1(x1)))))))))))))))))))) -> 1'(4'(0'(1'(0'(4'(1'(1'(3'(4'(3'(2'(4'(4'(3'(2'(1'(1'(2'(2'(x1)))))))))))))))))))) [1]
   3'(c_3(c_0(c_4(c_4(c_2(c_4(c_0(c_4(c_0(c_4(c_2(c_0(c_2(c_2(c_2(c_4(c_0(c_3(c_2(x1)))))))))))))))))))) -> 0'(1'(0'(1'(1'(1'(4'(4'(0'(1'(3'(2'(2'(4'(1'(4'(3'(4'(2'(2'(x1)))))))))))))))))))) [1]
   0'(c_1(c_1(c_1(c_1(c_2(c_4(c_4(c_0(c_3(c_4(c_4(c_0(c_2(c_0(c_4(c_1(c_1(c_2(c_1(x1)))))))))))))))))))) -> 3'(1'(4'(3'(2'(4'(3'(3'(4'(0'(0'(2'(0'(3'(1'(0'(1'(0'(1'(2'(x1)))))))))))))))))))) [1]
   0'(c_4(c_0(c_2(c_0(c_1(c_2(c_1(c_4(c_3(c_1(c_4(c_3(c_3(c_1(c_0(c_3(c_3(c_1(c_2(x1)))))))))))))))))))) -> 2'(1'(0'(2'(2'(4'(0'(1'(4'(2'(3'(4'(0'(1'(2'(0'(2'(4'(4'(2'(x1)))))))))))))))))))) [1]
   2'(c_3(c_4(c_2(c_2(c_3(c_3(c_4(c_3(c_2(c_0(c_2(c_1(c_0(c_2(c_1(c_4(c_1(c_3(c_2(c_1(c_3(c_4(c_0(c_1(c_4(c_2(c_0(c_3(c_4(c_4(c_0(c_0(c_3(c_0(c_1(c_2(c_3(c_2(x1344))))))))))))))))))))))))))))))))))))))) -> 1'(4'(0'(4'(1'(3'(1'(1'(1'(1'(3'(0'(1'(0'(4'(1'(4'(2'(1'(3'(0'(4'(1'(1'(4'(0'(4'(1'(2'(1'(4'(2'(0'(4'(4'(3'(3'(2'(2'(x1344))))))))))))))))))))))))))))))))))))))) [2]
   2'(c_3(c_4(c_2(c_2(c_3(c_3(c_4(c_3(c_2(c_0(c_2(c_1(c_0(c_2(c_1(c_4(c_1(c_3(c_2(c_0(c_3(c_0(c_0(c_0(c_2(c_3(c_3(c_0(c_4(c_4(c_4(c_0(c_3(c_1(c_1(c_1(c_2(c_1(x1345))))))))))))))))))))))))))))))))))))))) -> 1'(4'(0'(4'(1'(3'(1'(1'(1'(1'(3'(0'(1'(0'(4'(1'(4'(2'(1'(0'(3'(2'(2'(4'(3'(3'(1'(0'(0'(3'(3'(1'(0'(3'(3'(4'(4'(2'(2'(x1345))))))))))))))))))))))))))))))))))))))) [2]
   2'(c_3(c_4(c_2(c_2(c_3(c_3(c_4(c_3(c_2(c_0(c_2(c_1(c_0(c_2(c_1(c_4(c_1(c_3(c_2(c_2(c_0(c_4(c_1(c_4(c_3(c_0(c_0(c_0(c_3(c_2(c_4(c_4(c_1(c_3(c_0(c_2(c_3(c_2(x1346))))))))))))))))))))))))))))))))))))))) -> 1'(4'(0'(4'(1'(3'(1'(1'(1'(1'(3'(0'(1'(0'(4'(1'(4'(2'(1'(1'(3'(2'(2'(0'(3'(2'(0'(0'(2'(4'(0'(1'(4'(2'(0'(2'(0'(1'(2'(x1346))))))))))))))))))))))))))))))))))))))) [2]
   2'(c_3(c_4(c_2(c_2(c_3(c_3(c_4(c_3(c_2(c_0(c_2(c_1(c_0(c_2(c_1(c_4(c_1(c_3(c_2(c_0(c_2(c_1(c_3(c_2(c_3(c_1(c_3(c_3(c_4(c_1(c_3(c_2(c_2(c_0(c_1(c_2(c_3(c_2(x1347))))))))))))))))))))))))))))))))))))))) -> 1'(4'(0'(4'(1'(3'(1'(1'(1'(1'(3'(0'(1'(0'(4'(1'(4'(2'(1'(3'(3'(4'(0'(4'(0'(1'(0'(4'(0'(1'(1'(4'(4'(1'(3'(3'(2'(0'(2'(x1347))))))))))))))))))))))))))))))))))))))) [2]
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   4'(c_0(c_1(c_4(c_1(c_2(c_1(c_3(c_4(c_2(c_4(c_3(c_3(c_2(c_1(c_1(c_4(c_4(c_2(c_2(c_0(c_3(c_0(c_0(c_0(c_2(c_3(c_3(c_0(c_4(c_4(c_4(c_0(c_3(c_1(c_1(c_1(c_2(c_1(x11965))))))))))))))))))))))))))))))))))))))) -> 4'(2'(3'(4'(2'(4'(1'(1'(1'(2'(0'(1'(1'(4'(0'(0'(1'(3'(2'(0'(3'(2'(2'(4'(3'(3'(1'(0'(0'(3'(3'(1'(0'(3'(3'(4'(4'(2'(2'(x11965))))))))))))))))))))))))))))))))))))))) [2]
   4'(c_0(c_1(c_4(c_1(c_2(c_1(c_3(c_4(c_2(c_4(c_3(c_3(c_2(c_1(c_1(c_4(c_4(c_2(c_2(c_2(c_0(c_4(c_1(c_4(c_3(c_0(c_0(c_0(c_3(c_2(c_4(c_4(c_1(c_3(c_0(c_2(c_3(c_2(x11966))))))))))))))))))))))))))))))))))))))) -> 4'(2'(3'(4'(2'(4'(1'(1'(1'(2'(0'(1'(1'(4'(0'(0'(1'(3'(2'(1'(3'(2'(2'(0'(3'(2'(0'(0'(2'(4'(0'(1'(4'(2'(0'(2'(0'(1'(2'(x11966))))))))))))))))))))))))))))))))))))))) [2]
   4'(c_0(c_1(c_4(c_1(c_2(c_1(c_3(c_4(c_2(c_4(c_3(c_3(c_2(c_1(c_1(c_4(c_4(c_2(c_2(c_0(c_2(c_1(c_3(c_2(c_3(c_1(c_3(c_3(c_4(c_1(c_3(c_2(c_2(c_0(c_1(c_2(c_3(c_2(x11967))))))))))))))))))))))))))))))))))))))) -> 4'(2'(3'(4'(2'(4'(1'(1'(1'(2'(0'(1'(1'(4'(0'(0'(1'(3'(2'(3'(3'(4'(0'(4'(0'(1'(0'(4'(0'(1'(1'(4'(4'(1'(3'(3'(2'(0'(2'(x11967))))))))))))))))))))))))))))))))))))))) [2]
   4'(c_0(c_1(c_4(c_1(c_2(c_1(c_3(c_4(c_2(c_4(c_3(c_3(c_2(c_1(c_1(c_4(c_4(c_2(c_2(c_1(c_2(c_3(c_0(c_3(c_4(c_2(c_1(c_2(c_4(c_0(c_3(c_2(c_3(c_4(c_4(c_4(c_3(c_2(x11968))))))))))))))))))))))))))))))))))))))) -> 4'(2'(3'(4'(2'(4'(1'(1'(1'(2'(0'(1'(1'(4'(0'(0'(1'(3'(2'(3'(4'(2'(1'(1'(1'(4'(4'(0'(0'(0'(3'(0'(4'(1'(4'(3'(2'(4'(2'(x11968))))))))))))))))))))))))))))))))))))))) [2]
   4'(c_0(c_1(c_4(c_1(c_2(c_1(c_3(c_4(c_2(c_4(c_3(c_3(c_2(c_1(c_1(c_4(c_4(c_2(c_2(c_0(c_3(c_4(c_4(c_4(c_4(c_4(c_1(c_3(c_0(c_1(c_2(c_0(c_2(c_0(c_1(c_1(c_3(c_2(x11969))))))))))))))))))))))))))))))))))))))) -> 4'(2'(3'(4'(2'(4'(1'(1'(1'(2'(0'(1'(1'(4'(0'(0'(1'(3'(2'(0'(1'(3'(2'(1'(3'(4'(1'(4'(2'(4'(0'(2'(4'(2'(3'(0'(0'(2'(1'(x11969))))))))))))))))))))))))))))))))))))))) [2]
   4'(c_0(c_1(c_4(c_1(c_2(c_1(c_3(c_4(c_2(c_4(c_3(c_3(c_2(c_1(c_1(c_4(c_4(c_2(c_2(c_2(c_3(c_4(c_2(c_4(c_2(c_3(c_2(c_0(c_2(c_1(c_0(c_2(c_2(c_0(c_4(c_2(c_0(c_2(x11970))))))))))))))))))))))))))))))))))))))) -> 4'(2'(3'(4'(2'(4'(1'(1'(1'(2'(0'(1'(1'(4'(0'(0'(1'(3'(2'(1'(1'(1'(4'(0'(4'(4'(0'(0'(0'(2'(1'(3'(4'(0'(2'(4'(0'(0'(2'(x11970))))))))))))))))))))))))))))))))))))))) [2]
   4'(c_0(c_1(c_4(c_1(c_2(c_1(c_3(c_4(c_2(c_4(c_3(c_3(c_2(c_1(c_1(c_4(c_4(c_2(c_2(c_3(c_3(c_1(c_0(c_0(c_1(c_1(c_3(c_2(c_3(c_0(c_0(c_0(c_1(c_1(c_1(c_1(c_0(c_2(x11971))))))))))))))))))))))))))))))))))))))) -> 4'(2'(3'(4'(2'(4'(1'(1'(1'(2'(0'(1'(1'(4'(0'(0'(1'(3'(2'(1'(3'(0'(4'(1'(1'(4'(3'(4'(2'(4'(4'(3'(3'(3'(2'(0'(2'(2'(1'(x11971))))))))))))))))))))))))))))))))))))))) [2]
   4'(c_0(c_1(c_4(c_1(c_2(c_1(c_3(c_4(c_2(c_4(c_3(c_3(c_2(c_1(c_1(c_4(c_4(c_2(c_2(c_0(c_4(c_1(c_4(c_1(c_2(c_2(c_0(c_0(c_0(c_4(c_0(c_1(c_1(c_2(c_3(c_3(c_3(c_2(x11972))))))))))))))))))))))))))))))))))))))) -> 4'(2'(3'(4'(2'(4'(1'(1'(1'(2'(0'(1'(1'(4'(0'(0'(1'(3'(2'(2'(2'(2'(2'(4'(0'(2'(3'(1'(0'(2'(2'(1'(4'(0'(4'(1'(1'(1'(2'(x11972))))))))))))))))))))))))))))))))))))))) [2]
   4'(c_0(c_1(c_4(c_1(c_2(c_1(c_3(c_4(c_2(c_4(c_3(c_3(c_2(c_1(c_1(c_4(c_4(c_2(c_2(c_2(c_2(c_1(c_0(c_3(c_2(c_4(c_4(c_1(c_4(c_0(c_0(c_0(c_3(c_1(c_3(c_3(c_2(c_1(x11973))))))))))))))))))))))))))))))))))))))) -> 4'(2'(3'(4'(2'(4'(1'(1'(1'(2'(0'(1'(1'(4'(0'(0'(1'(3'(2'(1'(4'(0'(0'(3'(1'(2'(0'(0'(3'(0'(1'(4'(4'(3'(2'(4'(2'(1'(1'(x11973))))))))))))))))))))))))))))))))))))))) [2]
   4'(c_0(c_1(c_4(c_1(c_2(c_1(c_3(c_4(c_2(c_4(c_3(c_3(c_2(c_1(c_1(c_4(c_4(c_2(c_2(c_4(c_1(c_3(c_1(c_1(c_0(c_0(c_0(c_0(c_4(c_3(c_0(c_0(c_2(c_0(c_2(c_1(c_1(c_1(x11974))))))))))))))))))))))))))))))))))))))) -> 4'(2'(3'(4'(2'(4'(1'(1'(1'(2'(0'(1'(1'(4'(0'(0'(1'(3'(2'(2'(1'(4'(2'(0'(0'(3'(3'(4'(3'(0'(2'(4'(1'(0'(2'(4'(4'(2'(1'(x11974))))))))))))))))))))))))))))))))))))))) [2]
   4'(c_0(c_1(c_4(c_1(c_2(c_1(c_3(c_4(c_2(c_4(c_3(c_3(c_2(c_1(c_1(c_4(c_4(c_2(c_2(c_2(c_4(c_4(c_4(c_3(c_1(c_0(c_0(c_2(c_0(c_0(c_4(c_0(c_4(c_4(c_3(c_1(c_0(c_2(x11975))))))))))))))))))))))))))))))))))))))) -> 4'(2'(3'(4'(2'(4'(1'(1'(1'(2'(0'(1'(1'(4'(0'(0'(1'(3'(2'(1'(2'(4'(3'(0'(1'(1'(0'(0'(2'(0'(1'(1'(3'(2'(1'(4'(1'(0'(2'(x11975))))))))))))))))))))))))))))))))))))))) [2]
   4'(c_0(c_1(c_4(c_1(c_2(c_1(c_3(c_4(c_2(c_4(c_3(c_3(c_2(c_1(c_1(c_4(c_4(c_2(c_2(c_3(c_0(c_1(c_3(c_2(c_0(c_4(c_0(c_2(c_0(c_4(c_2(c_0(c_4(c_0(c_2(c_4(c_0(c_2(x11976))))))))))))))))))))))))))))))))))))))) -> 4'(2'(3'(4'(2'(4'(1'(1'(1'(2'(0'(1'(1'(4'(0'(0'(1'(3'(2'(4'(3'(0'(3'(2'(2'(1'(3'(4'(0'(1'(0'(1'(2'(0'(1'(1'(4'(4'(2'(x11976))))))))))))))))))))))))))))))))))))))) [2]
   4'(c_0(c_1(c_4(c_1(c_2(c_1(c_3(c_4(c_2(c_4(c_3(c_3(c_2(c_1(c_1(c_4(c_4(c_2(c_2(c_1(c_0(c_3(c_4(c_3(c_2(c_3(c_2(c_3(c_4(c_3(c_2(c_1(c_4(c_4(c_2(c_3(c_0(c_2(x11977))))))))))))))))))))))))))))))))))))))) -> 4'(2'(3'(4'(2'(4'(1'(1'(1'(2'(0'(1'(1'(4'(0'(0'(1'(3'(2'(0'(3'(0'(3'(4'(0'(0'(1'(0'(2'(1'(2'(4'(0'(3'(0'(3'(0'(2'(2'(x11977))))))))))))))))))))))))))))))))))))))) [2]
   4'(c_0(c_1(c_4(c_1(c_2(c_1(c_3(c_4(c_2(c_4(c_3(c_3(c_2(c_1(c_1(c_4(c_4(c_2(c_2(c_4(c_0(c_2(c_3(c_0(c_0(c_4(c_4(c_1(c_0(c_0(c_1(c_0(c_2(c_2(c_1(c_1(c_3(c_2(x11978))))))))))))))))))))))))))))))))))))))) -> 4'(2'(3'(4'(2'(4'(1'(1'(1'(2'(0'(1'(1'(4'(0'(0'(1'(3'(2'(4'(2'(4'(1'(4'(0'(3'(0'(4'(3'(0'(3'(3'(1'(3'(0'(2'(1'(2'(1'(x11978))))))))))))))))))))))))))))))))))))))) [2]
   4'(c_0(c_1(c_4(c_1(c_2(c_1(c_3(c_4(c_2(c_4(c_3(c_3(c_2(c_1(c_1(c_4(c_4(c_2(c_2(x1)))))))))))))))))))) -> 4'(2'(3'(4'(2'(4'(1'(1'(1'(2'(0'(1'(1'(4'(0'(0'(1'(3'(2'(c_1(x1)))))))))))))))))))) [1]
   4'(c_0(c_1(c_4(c_1(c_2(c_1(c_3(c_4(c_2(c_4(c_3(c_3(c_2(c_1(c_1(c_4(c_4(c_2(c_2(x1)))))))))))))))))))) -> 4'(2'(3'(4'(2'(4'(1'(1'(1'(2'(0'(1'(1'(4'(0'(0'(1'(3'(2'(const))))))))))))))))))) [1]
   4'(c_3(c_1(c_1(c_2(c_2(c_1(c_3(c_1(c_0(c_0(c_1(c_1(c_0(c_4(c_2(c_3(c_3(c_0(c_2(x1)))))))))))))))))))) -> 0'(3'(3'(1'(4'(1'(1'(2'(1'(2'(1'(3'(1'(3'(1'(4'(2'(2'(4'(2'(x1)))))))))))))))))))) [1]
   3'(c_1(c_3(c_2(c_2(c_4(c_1(c_0(c_3(c_1(c_3(c_0(c_2(c_0(c_0(c_0(c_3(c_3(c_2(c_1(x1)))))))))))))))))))) -> 1'(3'(0'(2'(1'(3'(2'(1'(4'(2'(2'(2'(3'(4'(4'(0'(2'(4'(3'(2'(x1)))))))))))))))))))) [1]
   0'(c_1(c_1(c_1(c_0(c_4(c_1(c_0(c_1(c_2(c_1(c_0(c_1(c_4(c_1(c_1(c_2(c_4(c_4(c_2(x1)))))))))))))))))))) -> 4'(4'(1'(2'(4'(0'(4'(1'(0'(1'(4'(2'(2'(2'(3'(1'(1'(4'(0'(2'(x1)))))))))))))))))))) [1]
   0'(c_3(c_3(c_4(c_1(c_4(c_2(c_3(c_2(c_3(c_0(c_4(c_2(c_3(c_3(c_2(c_2(c_2(c_2(c_1(x1)))))))))))))))))))) -> 0'(4'(2'(4'(4'(3'(0'(0'(0'(3'(3'(2'(4'(4'(4'(0'(0'(2'(3'(2'(x1)))))))))))))))))))) [1]
   2'(c_2(c_1(c_2(c_3(c_3(c_2(c_0(c_3(c_0(c_2(c_0(c_4(c_2(c_4(c_1(c_2(c_3(c_0(c_2(x1)))))))))))))))))))) -> 0'(4'(1'(0'(2'(2'(1'(0'(3'(3'(4'(2'(1'(4'(1'(2'(1'(4'(1'(2'(x1)))))))))))))))))))) [1]
   0'(c_1(c_2(c_2(c_0(c_3(c_1(c_1(c_3(c_2(c_1(c_1(c_1(c_1(c_3(c_4(c_2(c_3(c_0(c_2(x1)))))))))))))))))))) -> 4'(2'(4'(3'(3'(2'(3'(2'(4'(1'(0'(2'(3'(1'(4'(2'(1'(4'(3'(2'(x1)))))))))))))))))))) [1]
   2'(c_1(c_2(c_0(c_3(c_1(c_4(c_2(c_3(c_0(c_1(c_1(c_4(c_4(c_2(c_0(c_4(c_3(c_2(c_1(x1)))))))))))))))))))) -> 1'(2'(3'(4'(0'(1'(4'(3'(1'(1'(1'(4'(1'(4'(0'(0'(2'(1'(4'(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:
1' :: c_2:c_3:c_1:c_0:c_4:const -> c_2:c_3:c_1:c_0:c_4:const
c_1 :: c_2:c_3:c_1:c_0:c_4:const -> c_2:c_3:c_1:c_0:c_4:const
c_3 :: c_2:c_3:c_1:c_0:c_4:const -> c_2:c_3:c_1:c_0:c_4:const
c_4 :: c_2:c_3:c_1:c_0:c_4:const -> c_2:c_3:c_1:c_0:c_4:const
c_0 :: c_2:c_3:c_1:c_0:c_4:const -> c_2:c_3:c_1:c_0:c_4:const
c_2 :: c_2:c_3:c_1:c_0:c_4:const -> c_2:c_3:c_1:c_0:c_4:const
3' :: c_2:c_3:c_1:c_0:c_4:const -> c_2:c_3:c_1:c_0:c_4:const
0' :: c_2:c_3:c_1:c_0:c_4:const -> c_2:c_3:c_1:c_0:c_4:const
4' :: c_2:c_3:c_1:c_0:c_4:const -> c_2:c_3:c_1:c_0:c_4:const
2' :: c_2:c_3:c_1:c_0:c_4:const -> c_2:c_3:c_1:c_0:c_4:const
encArg :: cons_0:cons_1:cons_2:cons_3:cons_4 -> c_2:c_3:c_1:c_0:c_4: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_2:c_3:c_1:c_0:c_4:const
encode_1 :: cons_0:cons_1:cons_2:cons_3:cons_4 -> c_2:c_3:c_1:c_0:c_4:const
encode_2 :: cons_0:cons_1:cons_2:cons_3:cons_4 -> c_2:c_3:c_1:c_0:c_4:const
encode_3 :: cons_0:cons_1:cons_2:cons_3:cons_4 -> c_2:c_3:c_1:c_0:c_4:const
encode_4 :: cons_0:cons_1:cons_2:cons_3:cons_4 -> c_2:c_3:c_1:c_0:c_4:const
const :: c_2:c_3:c_1:c_0:c_4: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'(2'(4'(0'(4'(1'(0'(1'(4'(2'(2'(2'(3'(1'(1'(4'(0'(2'(x1)))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   0'(z) -{ 1 }-> 4'(2'(4'(3'(3'(2'(3'(2'(4'(1'(0'(2'(3'(1'(4'(2'(1'(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))))))))))))))))))
   0'(z) -{ 1 }-> 4'(0'(4'(4'(3'(3'(0'(0'(3'(4'(3'(4'(0'(1'(4'(1'(1'(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))))))))))))))))))
   0'(z) -{ 1 }-> 4'(0'(4'(4'(2'(2'(1'(1'(4'(3'(4'(2'(0'(2'(3'(1'(2'(0'(1'(2'(x1)))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   0'(z) -{ 1 }-> 4'(0'(3'(2'(4'(0'(1'(1'(0'(2'(0'(3'(0'(1'(2'(3'(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 }-> 3'(1'(4'(3'(2'(4'(3'(3'(4'(0'(0'(2'(0'(3'(1'(0'(1'(0'(1'(2'(x1)))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   0'(z) -{ 2 }-> 3'(1'(2'(2'(4'(0'(2'(3'(1'(3'(4'(0'(4'(1'(3'(2'(3'(1'(2'(4'(3'(0'(3'(2'(2'(1'(3'(4'(0'(1'(0'(1'(2'(0'(1'(1'(4'(4'(2'(x11678))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11678))))))))))))))))))))))))))))))))))))), x11678 >= 0
   0'(z) -{ 2 }-> 3'(1'(2'(2'(4'(0'(2'(3'(1'(3'(4'(0'(4'(1'(3'(2'(3'(1'(2'(4'(2'(4'(1'(4'(0'(3'(0'(4'(3'(0'(3'(3'(1'(3'(0'(2'(1'(2'(1'(x11680))))))))))))))))))))))))))))))))))))))) :|: x11680 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11680)))))))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 3'(1'(2'(2'(4'(0'(2'(3'(1'(3'(4'(0'(4'(1'(3'(2'(3'(1'(2'(3'(4'(2'(1'(1'(1'(4'(4'(0'(0'(0'(3'(0'(4'(1'(4'(3'(2'(4'(2'(x11670))))))))))))))))))))))))))))))))))))))) :|: x11670 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11670)))))))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 3'(1'(2'(2'(4'(0'(2'(3'(1'(3'(4'(0'(4'(1'(3'(2'(3'(1'(2'(3'(3'(4'(0'(4'(0'(1'(0'(4'(0'(1'(1'(4'(4'(1'(3'(3'(2'(0'(2'(x11669))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11669))))))))))))))))))))))))))))))))))))), x11669 >= 0
   0'(z) -{ 2 }-> 3'(1'(2'(2'(4'(0'(2'(3'(1'(3'(4'(0'(4'(1'(3'(2'(3'(1'(2'(3'(0'(4'(1'(1'(4'(0'(4'(1'(2'(1'(4'(2'(0'(4'(4'(3'(3'(2'(2'(x11666))))))))))))))))))))))))))))))))))))))) :|: x11666 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11666)))))))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 3'(1'(2'(2'(4'(0'(2'(3'(1'(3'(4'(0'(4'(1'(3'(2'(3'(1'(2'(2'(2'(2'(2'(4'(0'(2'(3'(1'(0'(2'(2'(1'(4'(0'(4'(1'(1'(1'(2'(x11674))))))))))))))))))))))))))))))))))))))) :|: x11674 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11674)))))))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 3'(1'(2'(2'(4'(0'(2'(3'(1'(3'(4'(0'(4'(1'(3'(2'(3'(1'(2'(2'(1'(4'(2'(0'(0'(3'(3'(4'(3'(0'(2'(4'(1'(0'(2'(4'(4'(2'(1'(x11676))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11676))))))))))))))))))))))))))))))))))))), x11676 >= 0
   0'(z) -{ 2 }-> 3'(1'(2'(2'(4'(0'(2'(3'(1'(3'(4'(0'(4'(1'(3'(2'(3'(1'(2'(1'(4'(0'(0'(3'(1'(2'(0'(0'(3'(0'(1'(4'(4'(3'(2'(4'(2'(1'(1'(x11675))))))))))))))))))))))))))))))))))))))) :|: x11675 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11675)))))))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 3'(1'(2'(2'(4'(0'(2'(3'(1'(3'(4'(0'(4'(1'(3'(2'(3'(1'(2'(1'(3'(2'(2'(0'(3'(2'(0'(0'(2'(4'(0'(1'(4'(2'(0'(2'(0'(1'(2'(x11668))))))))))))))))))))))))))))))))))))))) :|: x11668 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11668)))))))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 3'(1'(2'(2'(4'(0'(2'(3'(1'(3'(4'(0'(4'(1'(3'(2'(3'(1'(2'(1'(3'(0'(4'(1'(1'(4'(3'(4'(2'(4'(4'(3'(3'(3'(2'(0'(2'(2'(1'(x11673))))))))))))))))))))))))))))))))))))))) :|: x11673 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11673)))))))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 3'(1'(2'(2'(4'(0'(2'(3'(1'(3'(4'(0'(4'(1'(3'(2'(3'(1'(2'(1'(2'(4'(3'(0'(1'(1'(0'(0'(2'(0'(1'(1'(3'(2'(1'(4'(1'(0'(2'(x11677))))))))))))))))))))))))))))))))))))))) :|: x11677 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11677)))))))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 3'(1'(2'(2'(4'(0'(2'(3'(1'(3'(4'(0'(4'(1'(3'(2'(3'(1'(2'(1'(1'(1'(4'(0'(4'(4'(0'(0'(0'(2'(1'(3'(4'(0'(2'(4'(0'(0'(2'(x11672))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11672))))))))))))))))))))))))))))))))))))), x11672 >= 0
   0'(z) -{ 2 }-> 3'(1'(2'(2'(4'(0'(2'(3'(1'(3'(4'(0'(4'(1'(3'(2'(3'(1'(2'(0'(3'(2'(2'(4'(3'(3'(1'(0'(0'(3'(3'(1'(0'(3'(3'(4'(4'(2'(2'(x11667))))))))))))))))))))))))))))))))))))))) :|: x11667 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11667)))))))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 3'(1'(2'(2'(4'(0'(2'(3'(1'(3'(4'(0'(4'(1'(3'(2'(3'(1'(2'(0'(3'(0'(3'(4'(0'(0'(1'(0'(2'(1'(2'(4'(0'(3'(0'(3'(0'(2'(2'(x11679))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11679))))))))))))))))))))))))))))))))))))), x11679 >= 0
   0'(z) -{ 2 }-> 3'(1'(2'(2'(4'(0'(2'(3'(1'(3'(4'(0'(4'(1'(3'(2'(3'(1'(2'(0'(1'(3'(2'(1'(3'(4'(1'(4'(2'(4'(0'(2'(4'(2'(3'(0'(0'(2'(1'(x11671))))))))))))))))))))))))))))))))))))))) :|: x11671 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11671)))))))))))))))))))))))))))))))))))))
   0'(z) -{ 1 }-> 3'(1'(2'(2'(4'(0'(2'(3'(1'(3'(4'(0'(4'(1'(3'(2'(3'(1'(2'(0))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   0'(z) -{ 1 }-> 3'(1'(2'(2'(4'(0'(2'(3'(1'(3'(4'(0'(4'(1'(3'(2'(3'(1'(2'(1 + x1))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   0'(z) -{ 1 }-> 3'(0'(2'(2'(0'(1'(4'(2'(3'(3'(0'(3'(0'(2'(0'(2'(4'(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))))))))))))))))))
   0'(z) -{ 1 }-> 2'(2'(1'(4'(4'(2'(4'(3'(0'(2'(3'(4'(3'(0'(0'(2'(2'(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))))))))))))))))))
   0'(z) -{ 1 }-> 2'(2'(0'(1'(1'(3'(2'(0'(1'(0'(2'(2'(0'(4'(1'(4'(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))))))))))))))))))
   0'(z) -{ 1 }-> 2'(1'(0'(2'(2'(4'(0'(1'(4'(2'(3'(4'(0'(1'(2'(0'(2'(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 }-> 2'(0'(2'(4'(0'(2'(3'(4'(2'(0'(1'(0'(0'(3'(4'(3'(4'(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))))))))))))))))))
   0'(z) -{ 2 }-> 1'(3'(0'(2'(1'(0'(0'(2'(2'(0'(4'(1'(2'(2'(2'(3'(2'(4'(2'(4'(3'(0'(3'(2'(2'(1'(3'(4'(0'(1'(0'(1'(2'(0'(1'(1'(4'(4'(2'(x11083))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11083))))))))))))))))))))))))))))))))))))), x11083 >= 0
   0'(z) -{ 2 }-> 1'(3'(0'(2'(1'(0'(0'(2'(2'(0'(4'(1'(2'(2'(2'(3'(2'(4'(2'(4'(2'(4'(1'(4'(0'(3'(0'(4'(3'(0'(3'(3'(1'(3'(0'(2'(1'(2'(1'(x11085))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11085))))))))))))))))))))))))))))))))))))), x11085 >= 0
   0'(z) -{ 2 }-> 1'(3'(0'(2'(1'(0'(0'(2'(2'(0'(4'(1'(2'(2'(2'(3'(2'(4'(2'(3'(4'(2'(1'(1'(1'(4'(4'(0'(0'(0'(3'(0'(4'(1'(4'(3'(2'(4'(2'(x11075))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11075))))))))))))))))))))))))))))))))))))), x11075 >= 0
   0'(z) -{ 2 }-> 1'(3'(0'(2'(1'(0'(0'(2'(2'(0'(4'(1'(2'(2'(2'(3'(2'(4'(2'(3'(3'(4'(0'(4'(0'(1'(0'(4'(0'(1'(1'(4'(4'(1'(3'(3'(2'(0'(2'(x11074))))))))))))))))))))))))))))))))))))))) :|: x11074 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11074)))))))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 1'(3'(0'(2'(1'(0'(0'(2'(2'(0'(4'(1'(2'(2'(2'(3'(2'(4'(2'(3'(0'(4'(1'(1'(4'(0'(4'(1'(2'(1'(4'(2'(0'(4'(4'(3'(3'(2'(2'(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
   0'(z) -{ 2 }-> 1'(3'(0'(2'(1'(0'(0'(2'(2'(0'(4'(1'(2'(2'(2'(3'(2'(4'(2'(2'(2'(2'(2'(4'(0'(2'(3'(1'(0'(2'(2'(1'(4'(0'(4'(1'(1'(1'(2'(x11079))))))))))))))))))))))))))))))))))))))) :|: x11079 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11079)))))))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 1'(3'(0'(2'(1'(0'(0'(2'(2'(0'(4'(1'(2'(2'(2'(3'(2'(4'(2'(2'(1'(4'(2'(0'(0'(3'(3'(4'(3'(0'(2'(4'(1'(0'(2'(4'(4'(2'(1'(x11081))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11081))))))))))))))))))))))))))))))))))))), x11081 >= 0
   0'(z) -{ 2 }-> 1'(3'(0'(2'(1'(0'(0'(2'(2'(0'(4'(1'(2'(2'(2'(3'(2'(4'(2'(1'(4'(0'(0'(3'(1'(2'(0'(0'(3'(0'(1'(4'(4'(3'(2'(4'(2'(1'(1'(x11080))))))))))))))))))))))))))))))))))))))) :|: x11080 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11080)))))))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 1'(3'(0'(2'(1'(0'(0'(2'(2'(0'(4'(1'(2'(2'(2'(3'(2'(4'(2'(1'(3'(2'(2'(0'(3'(2'(0'(0'(2'(4'(0'(1'(4'(2'(0'(2'(0'(1'(2'(x11073))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11073))))))))))))))))))))))))))))))))))))), x11073 >= 0
   0'(z) -{ 2 }-> 1'(3'(0'(2'(1'(0'(0'(2'(2'(0'(4'(1'(2'(2'(2'(3'(2'(4'(2'(1'(3'(0'(4'(1'(1'(4'(3'(4'(2'(4'(4'(3'(3'(3'(2'(0'(2'(2'(1'(x11078))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11078))))))))))))))))))))))))))))))))))))), x11078 >= 0
   0'(z) -{ 2 }-> 1'(3'(0'(2'(1'(0'(0'(2'(2'(0'(4'(1'(2'(2'(2'(3'(2'(4'(2'(1'(2'(4'(3'(0'(1'(1'(0'(0'(2'(0'(1'(1'(3'(2'(1'(4'(1'(0'(2'(x11082))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11082))))))))))))))))))))))))))))))))))))), x11082 >= 0
   0'(z) -{ 2 }-> 1'(3'(0'(2'(1'(0'(0'(2'(2'(0'(4'(1'(2'(2'(2'(3'(2'(4'(2'(1'(1'(1'(4'(0'(4'(4'(0'(0'(0'(2'(1'(3'(4'(0'(2'(4'(0'(0'(2'(x11077))))))))))))))))))))))))))))))))))))))) :|: x11077 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11077)))))))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 1'(3'(0'(2'(1'(0'(0'(2'(2'(0'(4'(1'(2'(2'(2'(3'(2'(4'(2'(0'(3'(2'(2'(4'(3'(3'(1'(0'(0'(3'(3'(1'(0'(3'(3'(4'(4'(2'(2'(x11072))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11072))))))))))))))))))))))))))))))))))))), x11072 >= 0
   0'(z) -{ 2 }-> 1'(3'(0'(2'(1'(0'(0'(2'(2'(0'(4'(1'(2'(2'(2'(3'(2'(4'(2'(0'(3'(0'(3'(4'(0'(0'(1'(0'(2'(1'(2'(4'(0'(3'(0'(3'(0'(2'(2'(x11084))))))))))))))))))))))))))))))))))))))) :|: x11084 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11084)))))))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 1'(3'(0'(2'(1'(0'(0'(2'(2'(0'(4'(1'(2'(2'(2'(3'(2'(4'(2'(0'(1'(3'(2'(1'(3'(4'(1'(4'(2'(4'(0'(2'(4'(2'(3'(0'(0'(2'(1'(x11076))))))))))))))))))))))))))))))))))))))) :|: x11076 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11076)))))))))))))))))))))))))))))))))))))
   0'(z) -{ 1 }-> 1'(3'(0'(2'(1'(0'(0'(2'(2'(0'(4'(1'(2'(2'(2'(3'(2'(4'(2'(0))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   0'(z) -{ 1 }-> 1'(3'(0'(2'(1'(0'(0'(2'(2'(0'(4'(1'(2'(2'(2'(3'(2'(4'(2'(1 + x1))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   0'(z) -{ 1 }-> 1'(2'(2'(4'(2'(4'(1'(3'(1'(3'(3'(0'(3'(3'(0'(0'(4'(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))))))))))))))))))
   0'(z) -{ 1 }-> 1'(1'(4'(0'(4'(1'(1'(0'(0'(1'(2'(4'(0'(3'(2'(4'(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))))))))))))))))))
   0'(z) -{ 2 }-> 0'(4'(4'(1'(1'(4'(2'(1'(0'(1'(4'(2'(2'(0'(0'(1'(0'(1'(2'(4'(3'(0'(3'(2'(2'(1'(3'(4'(0'(1'(0'(1'(2'(0'(1'(1'(4'(4'(2'(x11449))))))))))))))))))))))))))))))))))))))) :|: x11449 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11449)))))))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 0'(4'(4'(1'(1'(4'(2'(1'(0'(1'(4'(2'(2'(0'(0'(1'(0'(1'(2'(4'(2'(4'(1'(4'(0'(3'(0'(4'(3'(0'(3'(3'(1'(3'(0'(2'(1'(2'(1'(x11451))))))))))))))))))))))))))))))))))))))) :|: x11451 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11451)))))))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 0'(4'(4'(1'(1'(4'(2'(1'(0'(1'(4'(2'(2'(0'(0'(1'(0'(1'(2'(3'(4'(2'(1'(1'(1'(4'(4'(0'(0'(0'(3'(0'(4'(1'(4'(3'(2'(4'(2'(x11441))))))))))))))))))))))))))))))))))))))) :|: x11441 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11441)))))))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 0'(4'(4'(1'(1'(4'(2'(1'(0'(1'(4'(2'(2'(0'(0'(1'(0'(1'(2'(3'(3'(4'(0'(4'(0'(1'(0'(4'(0'(1'(1'(4'(4'(1'(3'(3'(2'(0'(2'(x11440))))))))))))))))))))))))))))))))))))))) :|: x11440 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11440)))))))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 0'(4'(4'(1'(1'(4'(2'(1'(0'(1'(4'(2'(2'(0'(0'(1'(0'(1'(2'(3'(0'(4'(1'(1'(4'(0'(4'(1'(2'(1'(4'(2'(0'(4'(4'(3'(3'(2'(2'(x11437))))))))))))))))))))))))))))))))))))))) :|: x11437 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11437)))))))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 0'(4'(4'(1'(1'(4'(2'(1'(0'(1'(4'(2'(2'(0'(0'(1'(0'(1'(2'(2'(2'(2'(2'(4'(0'(2'(3'(1'(0'(2'(2'(1'(4'(0'(4'(1'(1'(1'(2'(x11445))))))))))))))))))))))))))))))))))))))) :|: x11445 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11445)))))))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 0'(4'(4'(1'(1'(4'(2'(1'(0'(1'(4'(2'(2'(0'(0'(1'(0'(1'(2'(2'(1'(4'(2'(0'(0'(3'(3'(4'(3'(0'(2'(4'(1'(0'(2'(4'(4'(2'(1'(x11447))))))))))))))))))))))))))))))))))))))) :|: x11447 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11447)))))))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 0'(4'(4'(1'(1'(4'(2'(1'(0'(1'(4'(2'(2'(0'(0'(1'(0'(1'(2'(1'(4'(0'(0'(3'(1'(2'(0'(0'(3'(0'(1'(4'(4'(3'(2'(4'(2'(1'(1'(x11446))))))))))))))))))))))))))))))))))))))) :|: x11446 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11446)))))))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 0'(4'(4'(1'(1'(4'(2'(1'(0'(1'(4'(2'(2'(0'(0'(1'(0'(1'(2'(1'(3'(2'(2'(0'(3'(2'(0'(0'(2'(4'(0'(1'(4'(2'(0'(2'(0'(1'(2'(x11439))))))))))))))))))))))))))))))))))))))) :|: x11439 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11439)))))))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 0'(4'(4'(1'(1'(4'(2'(1'(0'(1'(4'(2'(2'(0'(0'(1'(0'(1'(2'(1'(3'(0'(4'(1'(1'(4'(3'(4'(2'(4'(4'(3'(3'(3'(2'(0'(2'(2'(1'(x11444))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11444))))))))))))))))))))))))))))))))))))), x11444 >= 0
   0'(z) -{ 2 }-> 0'(4'(4'(1'(1'(4'(2'(1'(0'(1'(4'(2'(2'(0'(0'(1'(0'(1'(2'(1'(2'(4'(3'(0'(1'(1'(0'(0'(2'(0'(1'(1'(3'(2'(1'(4'(1'(0'(2'(x11448))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11448))))))))))))))))))))))))))))))))))))), x11448 >= 0
   0'(z) -{ 2 }-> 0'(4'(4'(1'(1'(4'(2'(1'(0'(1'(4'(2'(2'(0'(0'(1'(0'(1'(2'(1'(1'(1'(4'(0'(4'(4'(0'(0'(0'(2'(1'(3'(4'(0'(2'(4'(0'(0'(2'(x11443))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11443))))))))))))))))))))))))))))))))))))), x11443 >= 0
   0'(z) -{ 2 }-> 0'(4'(4'(1'(1'(4'(2'(1'(0'(1'(4'(2'(2'(0'(0'(1'(0'(1'(2'(0'(3'(2'(2'(4'(3'(3'(1'(0'(0'(3'(3'(1'(0'(3'(3'(4'(4'(2'(2'(x11438))))))))))))))))))))))))))))))))))))))) :|: x11438 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11438)))))))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 0'(4'(4'(1'(1'(4'(2'(1'(0'(1'(4'(2'(2'(0'(0'(1'(0'(1'(2'(0'(3'(0'(3'(4'(0'(0'(1'(0'(2'(1'(2'(4'(0'(3'(0'(3'(0'(2'(2'(x11450))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11450))))))))))))))))))))))))))))))))))))), x11450 >= 0
   0'(z) -{ 2 }-> 0'(4'(4'(1'(1'(4'(2'(1'(0'(1'(4'(2'(2'(0'(0'(1'(0'(1'(2'(0'(1'(3'(2'(1'(3'(4'(1'(4'(2'(4'(0'(2'(4'(2'(3'(0'(0'(2'(1'(x11442))))))))))))))))))))))))))))))))))))))) :|: x11442 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11442)))))))))))))))))))))))))))))))))))))
   0'(z) -{ 1 }-> 0'(4'(4'(1'(1'(4'(2'(1'(0'(1'(4'(2'(2'(0'(0'(1'(0'(1'(2'(0))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   0'(z) -{ 1 }-> 0'(4'(4'(1'(1'(4'(2'(1'(0'(1'(4'(2'(2'(0'(0'(1'(0'(1'(2'(1 + x1))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   0'(z) -{ 1 }-> 0'(4'(2'(4'(4'(3'(0'(0'(0'(3'(3'(2'(4'(4'(4'(0'(0'(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))))))))))))))))))
   0'(z) -{ 1 }-> 0'(3'(3'(0'(0'(4'(2'(3'(0'(0'(3'(1'(2'(4'(2'(4'(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 }-> 0'(3'(1'(0'(2'(1'(0'(4'(2'(4'(0'(0'(1'(1'(4'(2'(3'(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))))))))))))))))))
   0'(z) -{ 1 }-> 0'(2'(1'(4'(0'(2'(2'(2'(1'(1'(4'(2'(4'(0'(3'(1'(2'(0'(1'(2'(x1)))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   0'(z) -{ 2 }-> 0'(0'(3'(4'(0'(2'(2'(4'(0'(4'(2'(1'(3'(4'(1'(3'(2'(0'(2'(4'(3'(0'(3'(2'(2'(1'(3'(4'(0'(1'(0'(1'(2'(0'(1'(1'(4'(4'(2'(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
   0'(z) -{ 2 }-> 0'(0'(3'(4'(0'(2'(2'(4'(0'(4'(2'(1'(3'(4'(1'(3'(2'(0'(2'(4'(2'(4'(1'(4'(0'(3'(0'(4'(3'(0'(3'(3'(1'(3'(0'(2'(1'(2'(1'(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)))))))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 0'(0'(3'(4'(0'(2'(2'(4'(0'(4'(2'(1'(3'(4'(1'(3'(2'(0'(2'(3'(4'(2'(1'(1'(1'(4'(4'(0'(0'(0'(3'(0'(4'(1'(4'(3'(2'(4'(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
   0'(z) -{ 2 }-> 0'(0'(3'(4'(0'(2'(2'(4'(0'(4'(2'(1'(3'(4'(1'(3'(2'(0'(2'(3'(3'(4'(0'(4'(0'(1'(0'(4'(0'(1'(1'(4'(4'(1'(3'(3'(2'(0'(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
   0'(z) -{ 2 }-> 0'(0'(3'(4'(0'(2'(2'(4'(0'(4'(2'(1'(3'(4'(1'(3'(2'(0'(2'(3'(0'(4'(1'(1'(4'(0'(4'(1'(2'(1'(4'(2'(0'(4'(4'(3'(3'(2'(2'(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 }-> 0'(0'(3'(4'(0'(2'(2'(4'(0'(4'(2'(1'(3'(4'(1'(3'(2'(0'(2'(2'(2'(2'(2'(4'(0'(2'(3'(1'(0'(2'(2'(1'(4'(0'(4'(1'(1'(1'(2'(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)))))))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 0'(0'(3'(4'(0'(2'(2'(4'(0'(4'(2'(1'(3'(4'(1'(3'(2'(0'(2'(2'(1'(4'(2'(0'(0'(3'(3'(4'(3'(0'(2'(4'(1'(0'(2'(4'(4'(2'(1'(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)))))))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 0'(0'(3'(4'(0'(2'(2'(4'(0'(4'(2'(1'(3'(4'(1'(3'(2'(0'(2'(1'(4'(0'(0'(3'(1'(2'(0'(0'(3'(0'(1'(4'(4'(3'(2'(4'(2'(1'(1'(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)))))))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 0'(0'(3'(4'(0'(2'(2'(4'(0'(4'(2'(1'(3'(4'(1'(3'(2'(0'(2'(1'(3'(2'(2'(0'(3'(2'(0'(0'(2'(4'(0'(1'(4'(2'(0'(2'(0'(1'(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)))))))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 0'(0'(3'(4'(0'(2'(2'(4'(0'(4'(2'(1'(3'(4'(1'(3'(2'(0'(2'(1'(3'(0'(4'(1'(1'(4'(3'(4'(2'(4'(4'(3'(3'(3'(2'(0'(2'(2'(1'(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)))))))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 0'(0'(3'(4'(0'(2'(2'(4'(0'(4'(2'(1'(3'(4'(1'(3'(2'(0'(2'(1'(2'(4'(3'(0'(1'(1'(0'(0'(2'(0'(1'(1'(3'(2'(1'(4'(1'(0'(2'(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
   0'(z) -{ 2 }-> 0'(0'(3'(4'(0'(2'(2'(4'(0'(4'(2'(1'(3'(4'(1'(3'(2'(0'(2'(1'(1'(1'(4'(0'(4'(4'(0'(0'(0'(2'(1'(3'(4'(0'(2'(4'(0'(0'(2'(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
   0'(z) -{ 2 }-> 0'(0'(3'(4'(0'(2'(2'(4'(0'(4'(2'(1'(3'(4'(1'(3'(2'(0'(2'(0'(3'(2'(2'(4'(3'(3'(1'(0'(0'(3'(3'(1'(0'(3'(3'(4'(4'(2'(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
   0'(z) -{ 2 }-> 0'(0'(3'(4'(0'(2'(2'(4'(0'(4'(2'(1'(3'(4'(1'(3'(2'(0'(2'(0'(3'(0'(3'(4'(0'(0'(1'(0'(2'(1'(2'(4'(0'(3'(0'(3'(0'(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)))))))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 0'(0'(3'(4'(0'(2'(2'(4'(0'(4'(2'(1'(3'(4'(1'(3'(2'(0'(2'(0'(1'(3'(2'(1'(3'(4'(1'(4'(2'(4'(0'(2'(4'(2'(3'(0'(0'(2'(1'(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
   0'(z) -{ 1 }-> 0'(0'(3'(4'(0'(2'(2'(4'(0'(4'(2'(1'(3'(4'(1'(3'(2'(0'(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 }-> 0'(0'(3'(4'(0'(2'(2'(4'(0'(4'(2'(1'(3'(4'(1'(3'(2'(0'(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) -{ 0 }-> 0 :|: v0 >= 0, z = v0
   0'(z) -{ 0 }-> 1 + x0 :|: z = x0, x0 >= 0
   1'(z) -{ 1 }-> 4'(3'(0'(3'(2'(2'(1'(3'(4'(0'(1'(0'(1'(2'(0'(1'(1'(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))))))))))))))))))
   1'(z) -{ 2 }-> 4'(2'(4'(1'(4'(0'(3'(0'(4'(3'(0'(3'(3'(1'(3'(0'(2'(1'(2'(4'(3'(0'(3'(2'(2'(1'(3'(4'(0'(1'(0'(1'(2'(0'(1'(1'(4'(4'(2'(x11961))))))))))))))))))))))))))))))))))))))) :|: x11961 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11961)))))))))))))))))))))))))))))))))))))
   1'(z) -{ 2 }-> 4'(2'(4'(1'(4'(0'(3'(0'(4'(3'(0'(3'(3'(1'(3'(0'(2'(1'(2'(4'(2'(4'(1'(4'(0'(3'(0'(4'(3'(0'(3'(3'(1'(3'(0'(2'(1'(2'(1'(x11963))))))))))))))))))))))))))))))))))))))) :|: x11963 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11963)))))))))))))))))))))))))))))))))))))
   1'(z) -{ 2 }-> 4'(2'(4'(1'(4'(0'(3'(0'(4'(3'(0'(3'(3'(1'(3'(0'(2'(1'(2'(3'(4'(2'(1'(1'(1'(4'(4'(0'(0'(0'(3'(0'(4'(1'(4'(3'(2'(4'(2'(x11953))))))))))))))))))))))))))))))))))))))) :|: x11953 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11953)))))))))))))))))))))))))))))))))))))
   1'(z) -{ 2 }-> 4'(2'(4'(1'(4'(0'(3'(0'(4'(3'(0'(3'(3'(1'(3'(0'(2'(1'(2'(3'(3'(4'(0'(4'(0'(1'(0'(4'(0'(1'(1'(4'(4'(1'(3'(3'(2'(0'(2'(x11952))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11952))))))))))))))))))))))))))))))))))))), x11952 >= 0
   1'(z) -{ 2 }-> 4'(2'(4'(1'(4'(0'(3'(0'(4'(3'(0'(3'(3'(1'(3'(0'(2'(1'(2'(3'(0'(4'(1'(1'(4'(0'(4'(1'(2'(1'(4'(2'(0'(4'(4'(3'(3'(2'(2'(x11949))))))))))))))))))))))))))))))))))))))) :|: x11949 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11949)))))))))))))))))))))))))))))))))))))
   1'(z) -{ 2 }-> 4'(2'(4'(1'(4'(0'(3'(0'(4'(3'(0'(3'(3'(1'(3'(0'(2'(1'(2'(2'(2'(2'(2'(4'(0'(2'(3'(1'(0'(2'(2'(1'(4'(0'(4'(1'(1'(1'(2'(x11957))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11957))))))))))))))))))))))))))))))))))))), x11957 >= 0
   1'(z) -{ 2 }-> 4'(2'(4'(1'(4'(0'(3'(0'(4'(3'(0'(3'(3'(1'(3'(0'(2'(1'(2'(2'(1'(4'(2'(0'(0'(3'(3'(4'(3'(0'(2'(4'(1'(0'(2'(4'(4'(2'(1'(x11959))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11959))))))))))))))))))))))))))))))))))))), x11959 >= 0
   1'(z) -{ 2 }-> 4'(2'(4'(1'(4'(0'(3'(0'(4'(3'(0'(3'(3'(1'(3'(0'(2'(1'(2'(1'(4'(0'(0'(3'(1'(2'(0'(0'(3'(0'(1'(4'(4'(3'(2'(4'(2'(1'(1'(x11958))))))))))))))))))))))))))))))))))))))) :|: x11958 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11958)))))))))))))))))))))))))))))))))))))
   1'(z) -{ 2 }-> 4'(2'(4'(1'(4'(0'(3'(0'(4'(3'(0'(3'(3'(1'(3'(0'(2'(1'(2'(1'(3'(2'(2'(0'(3'(2'(0'(0'(2'(4'(0'(1'(4'(2'(0'(2'(0'(1'(2'(x11951))))))))))))))))))))))))))))))))))))))) :|: x11951 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11951)))))))))))))))))))))))))))))))))))))
   1'(z) -{ 2 }-> 4'(2'(4'(1'(4'(0'(3'(0'(4'(3'(0'(3'(3'(1'(3'(0'(2'(1'(2'(1'(3'(0'(4'(1'(1'(4'(3'(4'(2'(4'(4'(3'(3'(3'(2'(0'(2'(2'(1'(x11956))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11956))))))))))))))))))))))))))))))))))))), x11956 >= 0
   1'(z) -{ 2 }-> 4'(2'(4'(1'(4'(0'(3'(0'(4'(3'(0'(3'(3'(1'(3'(0'(2'(1'(2'(1'(2'(4'(3'(0'(1'(1'(0'(0'(2'(0'(1'(1'(3'(2'(1'(4'(1'(0'(2'(x11960))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11960))))))))))))))))))))))))))))))))))))), x11960 >= 0
   1'(z) -{ 2 }-> 4'(2'(4'(1'(4'(0'(3'(0'(4'(3'(0'(3'(3'(1'(3'(0'(2'(1'(2'(1'(1'(1'(4'(0'(4'(4'(0'(0'(0'(2'(1'(3'(4'(0'(2'(4'(0'(0'(2'(x11955))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11955))))))))))))))))))))))))))))))))))))), x11955 >= 0
   1'(z) -{ 2 }-> 4'(2'(4'(1'(4'(0'(3'(0'(4'(3'(0'(3'(3'(1'(3'(0'(2'(1'(2'(0'(3'(2'(2'(4'(3'(3'(1'(0'(0'(3'(3'(1'(0'(3'(3'(4'(4'(2'(2'(x11950))))))))))))))))))))))))))))))))))))))) :|: x11950 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11950)))))))))))))))))))))))))))))))))))))
   1'(z) -{ 2 }-> 4'(2'(4'(1'(4'(0'(3'(0'(4'(3'(0'(3'(3'(1'(3'(0'(2'(1'(2'(0'(3'(0'(3'(4'(0'(0'(1'(0'(2'(1'(2'(4'(0'(3'(0'(3'(0'(2'(2'(x11962))))))))))))))))))))))))))))))))))))))) :|: x11962 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11962)))))))))))))))))))))))))))))))))))))
   1'(z) -{ 2 }-> 4'(2'(4'(1'(4'(0'(3'(0'(4'(3'(0'(3'(3'(1'(3'(0'(2'(1'(2'(0'(1'(3'(2'(1'(3'(4'(1'(4'(2'(4'(0'(2'(4'(2'(3'(0'(0'(2'(1'(x11954))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11954))))))))))))))))))))))))))))))))))))), x11954 >= 0
   1'(z) -{ 1 }-> 4'(2'(4'(1'(4'(0'(3'(0'(4'(3'(0'(3'(3'(1'(3'(0'(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 }-> 4'(2'(4'(1'(4'(0'(3'(0'(4'(3'(0'(3'(3'(1'(3'(0'(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) -{ 1 }-> 3'(4'(2'(1'(1'(1'(4'(4'(0'(0'(0'(3'(0'(4'(1'(4'(3'(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 }-> 3'(3'(4'(0'(4'(0'(1'(0'(4'(0'(1'(1'(4'(4'(1'(3'(3'(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 }-> 3'(0'(4'(1'(1'(4'(0'(4'(1'(2'(1'(4'(2'(0'(4'(4'(3'(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))))))))))))))))))
   1'(z) -{ 1 }-> 2'(2'(2'(2'(4'(0'(2'(3'(1'(0'(2'(2'(1'(4'(0'(4'(1'(1'(1'(2'(x1)))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   1'(z) -{ 2 }-> 2'(1'(4'(2'(0'(0'(3'(3'(4'(3'(0'(2'(4'(1'(0'(2'(4'(4'(2'(4'(3'(0'(3'(2'(2'(1'(3'(4'(0'(1'(0'(1'(2'(0'(1'(1'(4'(4'(2'(x11510))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11510))))))))))))))))))))))))))))))))))))), x11510 >= 0
   1'(z) -{ 2 }-> 2'(1'(4'(2'(0'(0'(3'(3'(4'(3'(0'(2'(4'(1'(0'(2'(4'(4'(2'(4'(2'(4'(1'(4'(0'(3'(0'(4'(3'(0'(3'(3'(1'(3'(0'(2'(1'(2'(1'(x11512))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11512))))))))))))))))))))))))))))))))))))), x11512 >= 0
   1'(z) -{ 2 }-> 2'(1'(4'(2'(0'(0'(3'(3'(4'(3'(0'(2'(4'(1'(0'(2'(4'(4'(2'(3'(4'(2'(1'(1'(1'(4'(4'(0'(0'(0'(3'(0'(4'(1'(4'(3'(2'(4'(2'(x11502))))))))))))))))))))))))))))))))))))))) :|: x11502 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11502)))))))))))))))))))))))))))))))))))))
   1'(z) -{ 2 }-> 2'(1'(4'(2'(0'(0'(3'(3'(4'(3'(0'(2'(4'(1'(0'(2'(4'(4'(2'(3'(3'(4'(0'(4'(0'(1'(0'(4'(0'(1'(1'(4'(4'(1'(3'(3'(2'(0'(2'(x11501))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11501))))))))))))))))))))))))))))))))))))), x11501 >= 0
   1'(z) -{ 2 }-> 2'(1'(4'(2'(0'(0'(3'(3'(4'(3'(0'(2'(4'(1'(0'(2'(4'(4'(2'(3'(0'(4'(1'(1'(4'(0'(4'(1'(2'(1'(4'(2'(0'(4'(4'(3'(3'(2'(2'(x11498))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11498))))))))))))))))))))))))))))))))))))), x11498 >= 0
   1'(z) -{ 2 }-> 2'(1'(4'(2'(0'(0'(3'(3'(4'(3'(0'(2'(4'(1'(0'(2'(4'(4'(2'(2'(2'(2'(2'(4'(0'(2'(3'(1'(0'(2'(2'(1'(4'(0'(4'(1'(1'(1'(2'(x11506))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11506))))))))))))))))))))))))))))))))))))), x11506 >= 0
   1'(z) -{ 2 }-> 2'(1'(4'(2'(0'(0'(3'(3'(4'(3'(0'(2'(4'(1'(0'(2'(4'(4'(2'(2'(1'(4'(2'(0'(0'(3'(3'(4'(3'(0'(2'(4'(1'(0'(2'(4'(4'(2'(1'(x11508))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11508))))))))))))))))))))))))))))))))))))), x11508 >= 0
   1'(z) -{ 2 }-> 2'(1'(4'(2'(0'(0'(3'(3'(4'(3'(0'(2'(4'(1'(0'(2'(4'(4'(2'(1'(4'(0'(0'(3'(1'(2'(0'(0'(3'(0'(1'(4'(4'(3'(2'(4'(2'(1'(1'(x11507))))))))))))))))))))))))))))))))))))))) :|: x11507 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11507)))))))))))))))))))))))))))))))))))))
   1'(z) -{ 2 }-> 2'(1'(4'(2'(0'(0'(3'(3'(4'(3'(0'(2'(4'(1'(0'(2'(4'(4'(2'(1'(3'(2'(2'(0'(3'(2'(0'(0'(2'(4'(0'(1'(4'(2'(0'(2'(0'(1'(2'(x11500))))))))))))))))))))))))))))))))))))))) :|: x11500 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11500)))))))))))))))))))))))))))))))))))))
   1'(z) -{ 2 }-> 2'(1'(4'(2'(0'(0'(3'(3'(4'(3'(0'(2'(4'(1'(0'(2'(4'(4'(2'(1'(3'(0'(4'(1'(1'(4'(3'(4'(2'(4'(4'(3'(3'(3'(2'(0'(2'(2'(1'(x11505))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11505))))))))))))))))))))))))))))))))))))), x11505 >= 0
   1'(z) -{ 2 }-> 2'(1'(4'(2'(0'(0'(3'(3'(4'(3'(0'(2'(4'(1'(0'(2'(4'(4'(2'(1'(2'(4'(3'(0'(1'(1'(0'(0'(2'(0'(1'(1'(3'(2'(1'(4'(1'(0'(2'(x11509))))))))))))))))))))))))))))))))))))))) :|: x11509 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11509)))))))))))))))))))))))))))))))))))))
   1'(z) -{ 2 }-> 2'(1'(4'(2'(0'(0'(3'(3'(4'(3'(0'(2'(4'(1'(0'(2'(4'(4'(2'(1'(1'(1'(4'(0'(4'(4'(0'(0'(0'(2'(1'(3'(4'(0'(2'(4'(0'(0'(2'(x11504))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11504))))))))))))))))))))))))))))))))))))), x11504 >= 0
   1'(z) -{ 2 }-> 2'(1'(4'(2'(0'(0'(3'(3'(4'(3'(0'(2'(4'(1'(0'(2'(4'(4'(2'(0'(3'(2'(2'(4'(3'(3'(1'(0'(0'(3'(3'(1'(0'(3'(3'(4'(4'(2'(2'(x11499))))))))))))))))))))))))))))))))))))))) :|: x11499 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11499)))))))))))))))))))))))))))))))))))))
   1'(z) -{ 2 }-> 2'(1'(4'(2'(0'(0'(3'(3'(4'(3'(0'(2'(4'(1'(0'(2'(4'(4'(2'(0'(3'(0'(3'(4'(0'(0'(1'(0'(2'(1'(2'(4'(0'(3'(0'(3'(0'(2'(2'(x11511))))))))))))))))))))))))))))))))))))))) :|: x11511 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11511)))))))))))))))))))))))))))))))))))))
   1'(z) -{ 2 }-> 2'(1'(4'(2'(0'(0'(3'(3'(4'(3'(0'(2'(4'(1'(0'(2'(4'(4'(2'(0'(1'(3'(2'(1'(3'(4'(1'(4'(2'(4'(0'(2'(4'(2'(3'(0'(0'(2'(1'(x11503))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11503))))))))))))))))))))))))))))))))))))), x11503 >= 0
   1'(z) -{ 1 }-> 2'(1'(4'(2'(0'(0'(3'(3'(4'(3'(0'(2'(4'(1'(0'(2'(4'(4'(2'(0))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   1'(z) -{ 1 }-> 2'(1'(4'(2'(0'(0'(3'(3'(4'(3'(0'(2'(4'(1'(0'(2'(4'(4'(2'(1 + x1))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   1'(z) -{ 2 }-> 1'(4'(0'(0'(3'(1'(2'(0'(0'(3'(0'(1'(4'(4'(3'(2'(4'(2'(1'(4'(3'(0'(3'(2'(2'(1'(3'(4'(0'(1'(0'(1'(2'(0'(1'(1'(4'(4'(2'(x11419))))))))))))))))))))))))))))))))))))))) :|: x11419 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11419)))))))))))))))))))))))))))))))))))))
   1'(z) -{ 2 }-> 1'(4'(0'(0'(3'(1'(2'(0'(0'(3'(0'(1'(4'(4'(3'(2'(4'(2'(1'(4'(2'(4'(1'(4'(0'(3'(0'(4'(3'(0'(3'(3'(1'(3'(0'(2'(1'(2'(1'(x11421))))))))))))))))))))))))))))))))))))))) :|: x11421 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11421)))))))))))))))))))))))))))))))))))))
   1'(z) -{ 2 }-> 1'(4'(0'(0'(3'(1'(2'(0'(0'(3'(0'(1'(4'(4'(3'(2'(4'(2'(1'(3'(4'(2'(1'(1'(1'(4'(4'(0'(0'(0'(3'(0'(4'(1'(4'(3'(2'(4'(2'(x11411))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11411))))))))))))))))))))))))))))))))))))), x11411 >= 0
   1'(z) -{ 2 }-> 1'(4'(0'(0'(3'(1'(2'(0'(0'(3'(0'(1'(4'(4'(3'(2'(4'(2'(1'(3'(3'(4'(0'(4'(0'(1'(0'(4'(0'(1'(1'(4'(4'(1'(3'(3'(2'(0'(2'(x11410))))))))))))))))))))))))))))))))))))))) :|: x11410 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11410)))))))))))))))))))))))))))))))))))))
   1'(z) -{ 2 }-> 1'(4'(0'(0'(3'(1'(2'(0'(0'(3'(0'(1'(4'(4'(3'(2'(4'(2'(1'(3'(0'(4'(1'(1'(4'(0'(4'(1'(2'(1'(4'(2'(0'(4'(4'(3'(3'(2'(2'(x11407))))))))))))))))))))))))))))))))))))))) :|: x11407 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11407)))))))))))))))))))))))))))))))))))))
   1'(z) -{ 2 }-> 1'(4'(0'(0'(3'(1'(2'(0'(0'(3'(0'(1'(4'(4'(3'(2'(4'(2'(1'(2'(2'(2'(2'(4'(0'(2'(3'(1'(0'(2'(2'(1'(4'(0'(4'(1'(1'(1'(2'(x11415))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11415))))))))))))))))))))))))))))))))))))), x11415 >= 0
   1'(z) -{ 2 }-> 1'(4'(0'(0'(3'(1'(2'(0'(0'(3'(0'(1'(4'(4'(3'(2'(4'(2'(1'(2'(1'(4'(2'(0'(0'(3'(3'(4'(3'(0'(2'(4'(1'(0'(2'(4'(4'(2'(1'(x11417))))))))))))))))))))))))))))))))))))))) :|: x11417 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11417)))))))))))))))))))))))))))))))))))))
   1'(z) -{ 2 }-> 1'(4'(0'(0'(3'(1'(2'(0'(0'(3'(0'(1'(4'(4'(3'(2'(4'(2'(1'(1'(4'(0'(0'(3'(1'(2'(0'(0'(3'(0'(1'(4'(4'(3'(2'(4'(2'(1'(1'(x11416))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11416))))))))))))))))))))))))))))))))))))), x11416 >= 0
   1'(z) -{ 2 }-> 1'(4'(0'(0'(3'(1'(2'(0'(0'(3'(0'(1'(4'(4'(3'(2'(4'(2'(1'(1'(3'(2'(2'(0'(3'(2'(0'(0'(2'(4'(0'(1'(4'(2'(0'(2'(0'(1'(2'(x11409))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11409))))))))))))))))))))))))))))))))))))), x11409 >= 0
   1'(z) -{ 2 }-> 1'(4'(0'(0'(3'(1'(2'(0'(0'(3'(0'(1'(4'(4'(3'(2'(4'(2'(1'(1'(3'(0'(4'(1'(1'(4'(3'(4'(2'(4'(4'(3'(3'(3'(2'(0'(2'(2'(1'(x11414))))))))))))))))))))))))))))))))))))))) :|: x11414 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11414)))))))))))))))))))))))))))))))))))))
   1'(z) -{ 2 }-> 1'(4'(0'(0'(3'(1'(2'(0'(0'(3'(0'(1'(4'(4'(3'(2'(4'(2'(1'(1'(2'(4'(3'(0'(1'(1'(0'(0'(2'(0'(1'(1'(3'(2'(1'(4'(1'(0'(2'(x11418))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11418))))))))))))))))))))))))))))))))))))), x11418 >= 0
   1'(z) -{ 2 }-> 1'(4'(0'(0'(3'(1'(2'(0'(0'(3'(0'(1'(4'(4'(3'(2'(4'(2'(1'(1'(1'(1'(4'(0'(4'(4'(0'(0'(0'(2'(1'(3'(4'(0'(2'(4'(0'(0'(2'(x11413))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11413))))))))))))))))))))))))))))))))))))), x11413 >= 0
   1'(z) -{ 2 }-> 1'(4'(0'(0'(3'(1'(2'(0'(0'(3'(0'(1'(4'(4'(3'(2'(4'(2'(1'(0'(3'(2'(2'(4'(3'(3'(1'(0'(0'(3'(3'(1'(0'(3'(3'(4'(4'(2'(2'(x11408))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11408))))))))))))))))))))))))))))))))))))), x11408 >= 0
   1'(z) -{ 2 }-> 1'(4'(0'(0'(3'(1'(2'(0'(0'(3'(0'(1'(4'(4'(3'(2'(4'(2'(1'(0'(3'(0'(3'(4'(0'(0'(1'(0'(2'(1'(2'(4'(0'(3'(0'(3'(0'(2'(2'(x11420))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11420))))))))))))))))))))))))))))))))))))), x11420 >= 0
   1'(z) -{ 2 }-> 1'(4'(0'(0'(3'(1'(2'(0'(0'(3'(0'(1'(4'(4'(3'(2'(4'(2'(1'(0'(1'(3'(2'(1'(3'(4'(1'(4'(2'(4'(0'(2'(4'(2'(3'(0'(0'(2'(1'(x11412))))))))))))))))))))))))))))))))))))))) :|: x11412 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11412)))))))))))))))))))))))))))))))))))))
   1'(z) -{ 1 }-> 1'(4'(0'(0'(3'(1'(2'(0'(0'(3'(0'(1'(4'(4'(3'(2'(4'(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))))))))))))))))))
   1'(z) -{ 1 }-> 1'(4'(0'(0'(3'(1'(2'(0'(0'(3'(0'(1'(4'(4'(3'(2'(4'(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))))))))))))))))))
   1'(z) -{ 1 }-> 1'(3'(2'(2'(0'(3'(2'(0'(0'(2'(4'(0'(1'(4'(2'(0'(2'(0'(1'(2'(x1)))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   1'(z) -{ 2 }-> 1'(3'(0'(4'(1'(1'(4'(3'(4'(2'(4'(4'(3'(3'(3'(2'(0'(2'(2'(4'(3'(0'(3'(2'(2'(1'(3'(4'(0'(1'(0'(1'(2'(0'(1'(1'(4'(4'(2'(x11205))))))))))))))))))))))))))))))))))))))) :|: x11205 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11205)))))))))))))))))))))))))))))))))))))
   1'(z) -{ 2 }-> 1'(3'(0'(4'(1'(1'(4'(3'(4'(2'(4'(4'(3'(3'(3'(2'(0'(2'(2'(4'(2'(4'(1'(4'(0'(3'(0'(4'(3'(0'(3'(3'(1'(3'(0'(2'(1'(2'(1'(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
   1'(z) -{ 2 }-> 1'(3'(0'(4'(1'(1'(4'(3'(4'(2'(4'(4'(3'(3'(3'(2'(0'(2'(2'(3'(4'(2'(1'(1'(1'(4'(4'(0'(0'(0'(3'(0'(4'(1'(4'(3'(2'(4'(2'(x11197))))))))))))))))))))))))))))))))))))))) :|: x11197 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11197)))))))))))))))))))))))))))))))))))))
   1'(z) -{ 2 }-> 1'(3'(0'(4'(1'(1'(4'(3'(4'(2'(4'(4'(3'(3'(3'(2'(0'(2'(2'(3'(3'(4'(0'(4'(0'(1'(0'(4'(0'(1'(1'(4'(4'(1'(3'(3'(2'(0'(2'(x11196))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11196))))))))))))))))))))))))))))))))))))), x11196 >= 0
   1'(z) -{ 2 }-> 1'(3'(0'(4'(1'(1'(4'(3'(4'(2'(4'(4'(3'(3'(3'(2'(0'(2'(2'(3'(0'(4'(1'(1'(4'(0'(4'(1'(2'(1'(4'(2'(0'(4'(4'(3'(3'(2'(2'(x11193))))))))))))))))))))))))))))))))))))))) :|: x11193 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11193)))))))))))))))))))))))))))))))))))))
   1'(z) -{ 2 }-> 1'(3'(0'(4'(1'(1'(4'(3'(4'(2'(4'(4'(3'(3'(3'(2'(0'(2'(2'(2'(2'(2'(2'(4'(0'(2'(3'(1'(0'(2'(2'(1'(4'(0'(4'(1'(1'(1'(2'(x11201))))))))))))))))))))))))))))))))))))))) :|: x11201 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11201)))))))))))))))))))))))))))))))))))))
   1'(z) -{ 2 }-> 1'(3'(0'(4'(1'(1'(4'(3'(4'(2'(4'(4'(3'(3'(3'(2'(0'(2'(2'(2'(1'(4'(2'(0'(0'(3'(3'(4'(3'(0'(2'(4'(1'(0'(2'(4'(4'(2'(1'(x11203))))))))))))))))))))))))))))))))))))))) :|: x11203 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11203)))))))))))))))))))))))))))))))))))))
   1'(z) -{ 2 }-> 1'(3'(0'(4'(1'(1'(4'(3'(4'(2'(4'(4'(3'(3'(3'(2'(0'(2'(2'(1'(4'(0'(0'(3'(1'(2'(0'(0'(3'(0'(1'(4'(4'(3'(2'(4'(2'(1'(1'(x11202))))))))))))))))))))))))))))))))))))))) :|: x11202 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11202)))))))))))))))))))))))))))))))))))))
   1'(z) -{ 2 }-> 1'(3'(0'(4'(1'(1'(4'(3'(4'(2'(4'(4'(3'(3'(3'(2'(0'(2'(2'(1'(3'(2'(2'(0'(3'(2'(0'(0'(2'(4'(0'(1'(4'(2'(0'(2'(0'(1'(2'(x11195))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11195))))))))))))))))))))))))))))))))))))), x11195 >= 0
   1'(z) -{ 2 }-> 1'(3'(0'(4'(1'(1'(4'(3'(4'(2'(4'(4'(3'(3'(3'(2'(0'(2'(2'(1'(3'(0'(4'(1'(1'(4'(3'(4'(2'(4'(4'(3'(3'(3'(2'(0'(2'(2'(1'(x11200))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11200))))))))))))))))))))))))))))))))))))), x11200 >= 0
   1'(z) -{ 2 }-> 1'(3'(0'(4'(1'(1'(4'(3'(4'(2'(4'(4'(3'(3'(3'(2'(0'(2'(2'(1'(2'(4'(3'(0'(1'(1'(0'(0'(2'(0'(1'(1'(3'(2'(1'(4'(1'(0'(2'(x11204))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11204))))))))))))))))))))))))))))))))))))), x11204 >= 0
   1'(z) -{ 2 }-> 1'(3'(0'(4'(1'(1'(4'(3'(4'(2'(4'(4'(3'(3'(3'(2'(0'(2'(2'(1'(1'(1'(4'(0'(4'(4'(0'(0'(0'(2'(1'(3'(4'(0'(2'(4'(0'(0'(2'(x11199))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11199))))))))))))))))))))))))))))))))))))), x11199 >= 0
   1'(z) -{ 2 }-> 1'(3'(0'(4'(1'(1'(4'(3'(4'(2'(4'(4'(3'(3'(3'(2'(0'(2'(2'(0'(3'(2'(2'(4'(3'(3'(1'(0'(0'(3'(3'(1'(0'(3'(3'(4'(4'(2'(2'(x11194))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11194))))))))))))))))))))))))))))))))))))), x11194 >= 0
   1'(z) -{ 2 }-> 1'(3'(0'(4'(1'(1'(4'(3'(4'(2'(4'(4'(3'(3'(3'(2'(0'(2'(2'(0'(3'(0'(3'(4'(0'(0'(1'(0'(2'(1'(2'(4'(0'(3'(0'(3'(0'(2'(2'(x11206))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11206))))))))))))))))))))))))))))))))))))), x11206 >= 0
   1'(z) -{ 2 }-> 1'(3'(0'(4'(1'(1'(4'(3'(4'(2'(4'(4'(3'(3'(3'(2'(0'(2'(2'(0'(1'(3'(2'(1'(3'(4'(1'(4'(2'(4'(0'(2'(4'(2'(3'(0'(0'(2'(1'(x11198))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11198))))))))))))))))))))))))))))))))))))), x11198 >= 0
   1'(z) -{ 1 }-> 1'(3'(0'(4'(1'(1'(4'(3'(4'(2'(4'(4'(3'(3'(3'(2'(0'(2'(2'(0))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   1'(z) -{ 1 }-> 1'(3'(0'(4'(1'(1'(4'(3'(4'(2'(4'(4'(3'(3'(3'(2'(0'(2'(2'(1 + x1))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   1'(z) -{ 1 }-> 1'(2'(4'(3'(0'(1'(1'(0'(0'(2'(0'(1'(1'(3'(2'(1'(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))))))))))))))))))
   1'(z) -{ 1 }-> 1'(1'(1'(4'(0'(4'(4'(0'(0'(0'(2'(1'(3'(4'(0'(2'(4'(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))))))))))))))))))
   1'(z) -{ 1 }-> 0'(3'(2'(2'(4'(3'(3'(1'(0'(0'(3'(3'(1'(0'(3'(3'(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))))))))))))))))))
   1'(z) -{ 1 }-> 0'(3'(0'(3'(4'(0'(0'(1'(0'(2'(1'(2'(4'(0'(3'(0'(3'(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))))))))))))))))))
   1'(z) -{ 2 }-> 0'(1'(3'(2'(1'(3'(4'(1'(4'(2'(4'(0'(2'(4'(2'(3'(0'(0'(2'(4'(3'(0'(3'(2'(2'(1'(3'(4'(0'(1'(0'(1'(2'(0'(1'(1'(4'(4'(2'(x11098))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11098))))))))))))))))))))))))))))))))))))), x11098 >= 0
   1'(z) -{ 2 }-> 0'(1'(3'(2'(1'(3'(4'(1'(4'(2'(4'(0'(2'(4'(2'(3'(0'(0'(2'(4'(2'(4'(1'(4'(0'(3'(0'(4'(3'(0'(3'(3'(1'(3'(0'(2'(1'(2'(1'(x11100))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11100))))))))))))))))))))))))))))))))))))), x11100 >= 0
   1'(z) -{ 2 }-> 0'(1'(3'(2'(1'(3'(4'(1'(4'(2'(4'(0'(2'(4'(2'(3'(0'(0'(2'(3'(4'(2'(1'(1'(1'(4'(4'(0'(0'(0'(3'(0'(4'(1'(4'(3'(2'(4'(2'(x11090))))))))))))))))))))))))))))))))))))))) :|: x11090 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11090)))))))))))))))))))))))))))))))))))))
   1'(z) -{ 2 }-> 0'(1'(3'(2'(1'(3'(4'(1'(4'(2'(4'(0'(2'(4'(2'(3'(0'(0'(2'(3'(3'(4'(0'(4'(0'(1'(0'(4'(0'(1'(1'(4'(4'(1'(3'(3'(2'(0'(2'(x11089))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11089))))))))))))))))))))))))))))))))))))), x11089 >= 0
   1'(z) -{ 2 }-> 0'(1'(3'(2'(1'(3'(4'(1'(4'(2'(4'(0'(2'(4'(2'(3'(0'(0'(2'(3'(0'(4'(1'(1'(4'(0'(4'(1'(2'(1'(4'(2'(0'(4'(4'(3'(3'(2'(2'(x11086))))))))))))))))))))))))))))))))))))))) :|: x11086 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11086)))))))))))))))))))))))))))))))))))))
   1'(z) -{ 2 }-> 0'(1'(3'(2'(1'(3'(4'(1'(4'(2'(4'(0'(2'(4'(2'(3'(0'(0'(2'(2'(2'(2'(2'(4'(0'(2'(3'(1'(0'(2'(2'(1'(4'(0'(4'(1'(1'(1'(2'(x11094))))))))))))))))))))))))))))))))))))))) :|: x11094 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11094)))))))))))))))))))))))))))))))))))))
   1'(z) -{ 2 }-> 0'(1'(3'(2'(1'(3'(4'(1'(4'(2'(4'(0'(2'(4'(2'(3'(0'(0'(2'(2'(1'(4'(2'(0'(0'(3'(3'(4'(3'(0'(2'(4'(1'(0'(2'(4'(4'(2'(1'(x11096))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11096))))))))))))))))))))))))))))))))))))), x11096 >= 0
   1'(z) -{ 2 }-> 0'(1'(3'(2'(1'(3'(4'(1'(4'(2'(4'(0'(2'(4'(2'(3'(0'(0'(2'(1'(4'(0'(0'(3'(1'(2'(0'(0'(3'(0'(1'(4'(4'(3'(2'(4'(2'(1'(1'(x11095))))))))))))))))))))))))))))))))))))))) :|: x11095 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11095)))))))))))))))))))))))))))))))))))))
   1'(z) -{ 2 }-> 0'(1'(3'(2'(1'(3'(4'(1'(4'(2'(4'(0'(2'(4'(2'(3'(0'(0'(2'(1'(3'(2'(2'(0'(3'(2'(0'(0'(2'(4'(0'(1'(4'(2'(0'(2'(0'(1'(2'(x11088))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11088))))))))))))))))))))))))))))))))))))), x11088 >= 0
   1'(z) -{ 2 }-> 0'(1'(3'(2'(1'(3'(4'(1'(4'(2'(4'(0'(2'(4'(2'(3'(0'(0'(2'(1'(3'(0'(4'(1'(1'(4'(3'(4'(2'(4'(4'(3'(3'(3'(2'(0'(2'(2'(1'(x11093))))))))))))))))))))))))))))))))))))))) :|: x11093 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11093)))))))))))))))))))))))))))))))))))))
   1'(z) -{ 2 }-> 0'(1'(3'(2'(1'(3'(4'(1'(4'(2'(4'(0'(2'(4'(2'(3'(0'(0'(2'(1'(2'(4'(3'(0'(1'(1'(0'(0'(2'(0'(1'(1'(3'(2'(1'(4'(1'(0'(2'(x11097))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11097))))))))))))))))))))))))))))))))))))), x11097 >= 0
   1'(z) -{ 2 }-> 0'(1'(3'(2'(1'(3'(4'(1'(4'(2'(4'(0'(2'(4'(2'(3'(0'(0'(2'(1'(1'(1'(4'(0'(4'(4'(0'(0'(0'(2'(1'(3'(4'(0'(2'(4'(0'(0'(2'(x11092))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11092))))))))))))))))))))))))))))))))))))), x11092 >= 0
   1'(z) -{ 2 }-> 0'(1'(3'(2'(1'(3'(4'(1'(4'(2'(4'(0'(2'(4'(2'(3'(0'(0'(2'(0'(3'(2'(2'(4'(3'(3'(1'(0'(0'(3'(3'(1'(0'(3'(3'(4'(4'(2'(2'(x11087))))))))))))))))))))))))))))))))))))))) :|: x11087 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11087)))))))))))))))))))))))))))))))))))))
   1'(z) -{ 2 }-> 0'(1'(3'(2'(1'(3'(4'(1'(4'(2'(4'(0'(2'(4'(2'(3'(0'(0'(2'(0'(3'(0'(3'(4'(0'(0'(1'(0'(2'(1'(2'(4'(0'(3'(0'(3'(0'(2'(2'(x11099))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11099))))))))))))))))))))))))))))))))))))), x11099 >= 0
   1'(z) -{ 2 }-> 0'(1'(3'(2'(1'(3'(4'(1'(4'(2'(4'(0'(2'(4'(2'(3'(0'(0'(2'(0'(1'(3'(2'(1'(3'(4'(1'(4'(2'(4'(0'(2'(4'(2'(3'(0'(0'(2'(1'(x11091))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11091))))))))))))))))))))))))))))))))))))), x11091 >= 0
   1'(z) -{ 1 }-> 0'(1'(3'(2'(1'(3'(4'(1'(4'(2'(4'(0'(2'(4'(2'(3'(0'(0'(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'(1'(3'(2'(1'(3'(4'(1'(4'(2'(4'(0'(2'(4'(2'(3'(0'(0'(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'(1'(0'(0'(1'(3'(2'(0'(2'(4'(1'(0'(4'(0'(2'(0'(3'(0'(2'(2'(x1)))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   2'(z) -{ 1 }-> 4'(0'(3'(2'(4'(0'(1'(1'(2'(4'(0'(4'(4'(0'(4'(2'(3'(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))))))))))))))))))
   2'(z) -{ 1 }-> 3'(4'(1'(4'(0'(2'(0'(1'(2'(0'(4'(4'(1'(0'(2'(4'(1'(1'(1'(2'(x1)))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   2'(z) -{ 1 }-> 3'(4'(1'(3'(2'(0'(3'(0'(4'(1'(2'(4'(0'(4'(4'(1'(3'(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))))))))))))))))))
   2'(z) -{ 1 }-> 3'(2'(0'(3'(1'(3'(1'(2'(1'(2'(1'(1'(1'(3'(1'(1'(4'(1'(3'(2'(x1)))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   2'(z) -{ 1 }-> 3'(0'(4'(0'(2'(4'(1'(0'(3'(2'(3'(0'(0'(2'(4'(2'(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))))))))))))))))))
   2'(z) -{ 1 }-> 2'(4'(0'(1'(1'(2'(3'(0'(0'(4'(3'(0'(1'(0'(4'(2'(4'(3'(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 }-> 2'(2'(2'(0'(1'(1'(4'(3'(2'(0'(2'(3'(3'(3'(1'(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))))))))))))))))))
   2'(z) -{ 1 }-> 2'(1'(1'(2'(1'(1'(0'(1'(4'(0'(1'(3'(2'(1'(2'(4'(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))))))))))))))))))
   2'(z) -{ 2 }-> 1'(4'(1'(4'(4'(2'(2'(0'(2'(3'(1'(0'(1'(3'(0'(0'(2'(0'(2'(4'(3'(0'(3'(2'(2'(1'(3'(4'(0'(1'(0'(1'(2'(0'(1'(1'(4'(4'(2'(x1685))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1685))))))))))))))))))))))))))))))))))))), x1685 >= 0
   2'(z) -{ 2 }-> 1'(4'(1'(4'(4'(2'(2'(0'(2'(3'(1'(0'(1'(3'(0'(0'(2'(0'(2'(4'(2'(4'(1'(4'(0'(3'(0'(4'(3'(0'(3'(3'(1'(3'(0'(2'(1'(2'(1'(x1687))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1687))))))))))))))))))))))))))))))))))))), x1687 >= 0
   2'(z) -{ 2 }-> 1'(4'(1'(4'(4'(2'(2'(0'(2'(3'(1'(0'(1'(3'(0'(0'(2'(0'(2'(3'(4'(2'(1'(1'(1'(4'(4'(0'(0'(0'(3'(0'(4'(1'(4'(3'(2'(4'(2'(x1677))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1677))))))))))))))))))))))))))))))))))))), x1677 >= 0
   2'(z) -{ 2 }-> 1'(4'(1'(4'(4'(2'(2'(0'(2'(3'(1'(0'(1'(3'(0'(0'(2'(0'(2'(3'(3'(4'(0'(4'(0'(1'(0'(4'(0'(1'(1'(4'(4'(1'(3'(3'(2'(0'(2'(x1676))))))))))))))))))))))))))))))))))))))) :|: x1676 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1676)))))))))))))))))))))))))))))))))))))
   2'(z) -{ 2 }-> 1'(4'(1'(4'(4'(2'(2'(0'(2'(3'(1'(0'(1'(3'(0'(0'(2'(0'(2'(3'(0'(4'(1'(1'(4'(0'(4'(1'(2'(1'(4'(2'(0'(4'(4'(3'(3'(2'(2'(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
   2'(z) -{ 2 }-> 1'(4'(1'(4'(4'(2'(2'(0'(2'(3'(1'(0'(1'(3'(0'(0'(2'(0'(2'(2'(2'(2'(2'(4'(0'(2'(3'(1'(0'(2'(2'(1'(4'(0'(4'(1'(1'(1'(2'(x1681))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1681))))))))))))))))))))))))))))))))))))), x1681 >= 0
   2'(z) -{ 2 }-> 1'(4'(1'(4'(4'(2'(2'(0'(2'(3'(1'(0'(1'(3'(0'(0'(2'(0'(2'(2'(1'(4'(2'(0'(0'(3'(3'(4'(3'(0'(2'(4'(1'(0'(2'(4'(4'(2'(1'(x1683))))))))))))))))))))))))))))))))))))))) :|: x1683 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1683)))))))))))))))))))))))))))))))))))))
   2'(z) -{ 2 }-> 1'(4'(1'(4'(4'(2'(2'(0'(2'(3'(1'(0'(1'(3'(0'(0'(2'(0'(2'(1'(4'(0'(0'(3'(1'(2'(0'(0'(3'(0'(1'(4'(4'(3'(2'(4'(2'(1'(1'(x1682))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1682))))))))))))))))))))))))))))))))))))), x1682 >= 0
   2'(z) -{ 2 }-> 1'(4'(1'(4'(4'(2'(2'(0'(2'(3'(1'(0'(1'(3'(0'(0'(2'(0'(2'(1'(3'(2'(2'(0'(3'(2'(0'(0'(2'(4'(0'(1'(4'(2'(0'(2'(0'(1'(2'(x1675))))))))))))))))))))))))))))))))))))))) :|: x1675 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1675)))))))))))))))))))))))))))))))))))))
   2'(z) -{ 2 }-> 1'(4'(1'(4'(4'(2'(2'(0'(2'(3'(1'(0'(1'(3'(0'(0'(2'(0'(2'(1'(3'(0'(4'(1'(1'(4'(3'(4'(2'(4'(4'(3'(3'(3'(2'(0'(2'(2'(1'(x1680))))))))))))))))))))))))))))))))))))))) :|: x1680 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1680)))))))))))))))))))))))))))))))))))))
   2'(z) -{ 2 }-> 1'(4'(1'(4'(4'(2'(2'(0'(2'(3'(1'(0'(1'(3'(0'(0'(2'(0'(2'(1'(2'(4'(3'(0'(1'(1'(0'(0'(2'(0'(1'(1'(3'(2'(1'(4'(1'(0'(2'(x1684))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1684))))))))))))))))))))))))))))))))))))), x1684 >= 0
   2'(z) -{ 2 }-> 1'(4'(1'(4'(4'(2'(2'(0'(2'(3'(1'(0'(1'(3'(0'(0'(2'(0'(2'(1'(1'(1'(4'(0'(4'(4'(0'(0'(0'(2'(1'(3'(4'(0'(2'(4'(0'(0'(2'(x1679))))))))))))))))))))))))))))))))))))))) :|: x1679 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1679)))))))))))))))))))))))))))))))))))))
   2'(z) -{ 2 }-> 1'(4'(1'(4'(4'(2'(2'(0'(2'(3'(1'(0'(1'(3'(0'(0'(2'(0'(2'(0'(3'(2'(2'(4'(3'(3'(1'(0'(0'(3'(3'(1'(0'(3'(3'(4'(4'(2'(2'(x1674))))))))))))))))))))))))))))))))))))))) :|: x1674 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1674)))))))))))))))))))))))))))))))))))))
   2'(z) -{ 2 }-> 1'(4'(1'(4'(4'(2'(2'(0'(2'(3'(1'(0'(1'(3'(0'(0'(2'(0'(2'(0'(3'(0'(3'(4'(0'(0'(1'(0'(2'(1'(2'(4'(0'(3'(0'(3'(0'(2'(2'(x1686))))))))))))))))))))))))))))))))))))))) :|: x1686 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1686)))))))))))))))))))))))))))))))))))))
   2'(z) -{ 2 }-> 1'(4'(1'(4'(4'(2'(2'(0'(2'(3'(1'(0'(1'(3'(0'(0'(2'(0'(2'(0'(1'(3'(2'(1'(3'(4'(1'(4'(2'(4'(0'(2'(4'(2'(3'(0'(0'(2'(1'(x1678))))))))))))))))))))))))))))))))))))))) :|: x1678 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1678)))))))))))))))))))))))))))))))))))))
   2'(z) -{ 1 }-> 1'(4'(1'(4'(4'(2'(2'(0'(2'(3'(1'(0'(1'(3'(0'(0'(2'(0'(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 }-> 1'(4'(1'(4'(4'(2'(2'(0'(2'(3'(1'(0'(1'(3'(0'(0'(2'(0'(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) -{ 2 }-> 1'(4'(0'(4'(1'(3'(1'(1'(1'(1'(3'(0'(1'(0'(4'(1'(4'(2'(1'(4'(3'(0'(3'(2'(2'(1'(3'(4'(0'(1'(0'(1'(2'(0'(1'(1'(4'(4'(2'(x1356))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1356))))))))))))))))))))))))))))))))))))), x1356 >= 0
   2'(z) -{ 2 }-> 1'(4'(0'(4'(1'(3'(1'(1'(1'(1'(3'(0'(1'(0'(4'(1'(4'(2'(1'(4'(2'(4'(1'(4'(0'(3'(0'(4'(3'(0'(3'(3'(1'(3'(0'(2'(1'(2'(1'(x1358))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1358))))))))))))))))))))))))))))))))))))), x1358 >= 0
   2'(z) -{ 2 }-> 1'(4'(0'(4'(1'(3'(1'(1'(1'(1'(3'(0'(1'(0'(4'(1'(4'(2'(1'(3'(4'(2'(1'(1'(1'(4'(4'(0'(0'(0'(3'(0'(4'(1'(4'(3'(2'(4'(2'(x1348))))))))))))))))))))))))))))))))))))))) :|: x1348 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1348)))))))))))))))))))))))))))))))))))))
   2'(z) -{ 2 }-> 1'(4'(0'(4'(1'(3'(1'(1'(1'(1'(3'(0'(1'(0'(4'(1'(4'(2'(1'(3'(3'(4'(0'(4'(0'(1'(0'(4'(0'(1'(1'(4'(4'(1'(3'(3'(2'(0'(2'(x1347))))))))))))))))))))))))))))))))))))))) :|: x1347 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1347)))))))))))))))))))))))))))))))))))))
   2'(z) -{ 2 }-> 1'(4'(0'(4'(1'(3'(1'(1'(1'(1'(3'(0'(1'(0'(4'(1'(4'(2'(1'(3'(0'(4'(1'(1'(4'(0'(4'(1'(2'(1'(4'(2'(0'(4'(4'(3'(3'(2'(2'(x1344))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1344))))))))))))))))))))))))))))))))))))), x1344 >= 0
   2'(z) -{ 2 }-> 1'(4'(0'(4'(1'(3'(1'(1'(1'(1'(3'(0'(1'(0'(4'(1'(4'(2'(1'(2'(2'(2'(2'(4'(0'(2'(3'(1'(0'(2'(2'(1'(4'(0'(4'(1'(1'(1'(2'(x1352))))))))))))))))))))))))))))))))))))))) :|: x1352 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1352)))))))))))))))))))))))))))))))))))))
   2'(z) -{ 2 }-> 1'(4'(0'(4'(1'(3'(1'(1'(1'(1'(3'(0'(1'(0'(4'(1'(4'(2'(1'(2'(1'(4'(2'(0'(0'(3'(3'(4'(3'(0'(2'(4'(1'(0'(2'(4'(4'(2'(1'(x1354))))))))))))))))))))))))))))))))))))))) :|: x1354 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1354)))))))))))))))))))))))))))))))))))))
   2'(z) -{ 2 }-> 1'(4'(0'(4'(1'(3'(1'(1'(1'(1'(3'(0'(1'(0'(4'(1'(4'(2'(1'(1'(4'(0'(0'(3'(1'(2'(0'(0'(3'(0'(1'(4'(4'(3'(2'(4'(2'(1'(1'(x1353))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1353))))))))))))))))))))))))))))))))))))), x1353 >= 0
   2'(z) -{ 2 }-> 1'(4'(0'(4'(1'(3'(1'(1'(1'(1'(3'(0'(1'(0'(4'(1'(4'(2'(1'(1'(3'(2'(2'(0'(3'(2'(0'(0'(2'(4'(0'(1'(4'(2'(0'(2'(0'(1'(2'(x1346))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1346))))))))))))))))))))))))))))))))))))), x1346 >= 0
   2'(z) -{ 2 }-> 1'(4'(0'(4'(1'(3'(1'(1'(1'(1'(3'(0'(1'(0'(4'(1'(4'(2'(1'(1'(3'(0'(4'(1'(1'(4'(3'(4'(2'(4'(4'(3'(3'(3'(2'(0'(2'(2'(1'(x1351))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1351))))))))))))))))))))))))))))))))))))), x1351 >= 0
   2'(z) -{ 2 }-> 1'(4'(0'(4'(1'(3'(1'(1'(1'(1'(3'(0'(1'(0'(4'(1'(4'(2'(1'(1'(2'(4'(3'(0'(1'(1'(0'(0'(2'(0'(1'(1'(3'(2'(1'(4'(1'(0'(2'(x1355))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1355))))))))))))))))))))))))))))))))))))), x1355 >= 0
   2'(z) -{ 2 }-> 1'(4'(0'(4'(1'(3'(1'(1'(1'(1'(3'(0'(1'(0'(4'(1'(4'(2'(1'(1'(1'(1'(4'(0'(4'(4'(0'(0'(0'(2'(1'(3'(4'(0'(2'(4'(0'(0'(2'(x1350))))))))))))))))))))))))))))))))))))))) :|: x1350 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1350)))))))))))))))))))))))))))))))))))))
   2'(z) -{ 2 }-> 1'(4'(0'(4'(1'(3'(1'(1'(1'(1'(3'(0'(1'(0'(4'(1'(4'(2'(1'(0'(3'(2'(2'(4'(3'(3'(1'(0'(0'(3'(3'(1'(0'(3'(3'(4'(4'(2'(2'(x1345))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1345))))))))))))))))))))))))))))))))))))), x1345 >= 0
   2'(z) -{ 2 }-> 1'(4'(0'(4'(1'(3'(1'(1'(1'(1'(3'(0'(1'(0'(4'(1'(4'(2'(1'(0'(3'(0'(3'(4'(0'(0'(1'(0'(2'(1'(2'(4'(0'(3'(0'(3'(0'(2'(2'(x1357))))))))))))))))))))))))))))))))))))))) :|: x1357 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1357)))))))))))))))))))))))))))))))))))))
   2'(z) -{ 2 }-> 1'(4'(0'(4'(1'(3'(1'(1'(1'(1'(3'(0'(1'(0'(4'(1'(4'(2'(1'(0'(1'(3'(2'(1'(3'(4'(1'(4'(2'(4'(0'(2'(4'(2'(3'(0'(0'(2'(1'(x1349))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1349))))))))))))))))))))))))))))))))))))), x1349 >= 0
   2'(z) -{ 1 }-> 1'(4'(0'(4'(1'(3'(1'(1'(1'(1'(3'(0'(1'(0'(4'(1'(4'(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'(4'(0'(4'(1'(3'(1'(1'(1'(1'(3'(0'(1'(0'(4'(1'(4'(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 }-> 1'(2'(4'(4'(0'(1'(1'(4'(4'(4'(2'(2'(4'(4'(3'(2'(0'(3'(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 }-> 1'(2'(3'(4'(0'(1'(4'(3'(1'(1'(1'(4'(1'(4'(0'(0'(2'(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))))))))))))))))))
   2'(z) -{ 1 }-> 1'(2'(1'(2'(4'(0'(2'(1'(2'(0'(3'(1'(1'(2'(2'(4'(4'(3'(1'(2'(x1)))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   2'(z) -{ 1 }-> 1'(1'(4'(2'(4'(4'(2'(1'(2'(0'(3'(2'(1'(4'(3'(1'(3'(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 }-> 1'(1'(3'(3'(1'(3'(3'(2'(2'(1'(4'(1'(2'(2'(4'(1'(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))))))))))))))))))
   2'(z) -{ 1 }-> 0'(4'(1'(0'(2'(2'(1'(0'(3'(3'(4'(2'(1'(4'(1'(2'(1'(4'(1'(2'(x1)))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   2'(z) -{ 1 }-> 0'(2'(4'(4'(1'(4'(1'(4'(2'(2'(2'(4'(3'(3'(3'(1'(1'(0'(1'(2'(x1)))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   2'(z) -{ 1 }-> 0'(2'(4'(1'(4'(4'(0'(2'(4'(1'(1'(4'(1'(3'(3'(0'(3'(2'(1'(2'(x1)))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   2'(z) -{ 1 }-> 0'(2'(2'(4'(1'(4'(4'(3'(1'(1'(2'(4'(3'(1'(2'(0'(1'(2'(1'(2'(x1)))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   2'(z) -{ 1 }-> 0'(2'(2'(0'(1'(0'(4'(3'(0'(2'(4'(2'(2'(4'(3'(3'(1'(3'(1'(2'(x1)))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   2'(z) -{ 1 }-> 0'(1'(0'(0'(1'(1'(4'(3'(3'(0'(4'(2'(4'(1'(1'(3'(2'(2'(2'(2'(x1)))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   2'(z) -{ 1 }-> 0'(0'(2'(1'(2'(1'(2'(0'(2'(4'(1'(4'(1'(3'(0'(1'(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) -{ 0 }-> 0 :|: v0 >= 0, z = v0
   2'(z) -{ 0 }-> 1 + x0 :|: z = x0, x0 >= 0
   3'(z) -{ 1 }-> 4'(4'(2'(4'(4'(2'(4'(1'(4'(4'(2'(0'(3'(2'(1'(4'(4'(2'(4'(2'(x1)))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   3'(z) -{ 1 }-> 4'(2'(0'(1'(2'(4'(3'(4'(4'(3'(3'(3'(1'(1'(3'(0'(4'(3'(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 }-> 4'(1'(3'(2'(1'(4'(1'(0'(1'(3'(3'(1'(4'(4'(0'(4'(2'(1'(1'(2'(x1)))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   3'(z) -{ 1 }-> 4'(0'(4'(1'(0'(2'(4'(3'(4'(2'(3'(2'(3'(3'(3'(0'(1'(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 }-> 4'(0'(2'(1'(3'(2'(4'(0'(1'(4'(1'(1'(0'(2'(0'(0'(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))))))))))))))))))
   3'(z) -{ 1 }-> 4'(0'(0'(1'(3'(0'(1'(1'(2'(4'(2'(4'(3'(4'(1'(4'(0'(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))))))))))))))))))
   3'(z) -{ 2 }-> 3'(3'(2'(0'(2'(4'(3'(0'(0'(3'(3'(0'(1'(2'(4'(1'(0'(0'(2'(4'(3'(0'(3'(2'(2'(1'(3'(4'(0'(1'(0'(1'(2'(0'(1'(1'(4'(4'(2'(x11434))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11434))))))))))))))))))))))))))))))))))))), x11434 >= 0
   3'(z) -{ 2 }-> 3'(3'(2'(0'(2'(4'(3'(0'(0'(3'(3'(0'(1'(2'(4'(1'(0'(0'(2'(4'(2'(4'(1'(4'(0'(3'(0'(4'(3'(0'(3'(3'(1'(3'(0'(2'(1'(2'(1'(x11436))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11436))))))))))))))))))))))))))))))))))))), x11436 >= 0
   3'(z) -{ 2 }-> 3'(3'(2'(0'(2'(4'(3'(0'(0'(3'(3'(0'(1'(2'(4'(1'(0'(0'(2'(3'(4'(2'(1'(1'(1'(4'(4'(0'(0'(0'(3'(0'(4'(1'(4'(3'(2'(4'(2'(x11426))))))))))))))))))))))))))))))))))))))) :|: x11426 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11426)))))))))))))))))))))))))))))))))))))
   3'(z) -{ 2 }-> 3'(3'(2'(0'(2'(4'(3'(0'(0'(3'(3'(0'(1'(2'(4'(1'(0'(0'(2'(3'(3'(4'(0'(4'(0'(1'(0'(4'(0'(1'(1'(4'(4'(1'(3'(3'(2'(0'(2'(x11425))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11425))))))))))))))))))))))))))))))))))))), x11425 >= 0
   3'(z) -{ 2 }-> 3'(3'(2'(0'(2'(4'(3'(0'(0'(3'(3'(0'(1'(2'(4'(1'(0'(0'(2'(3'(0'(4'(1'(1'(4'(0'(4'(1'(2'(1'(4'(2'(0'(4'(4'(3'(3'(2'(2'(x11422))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11422))))))))))))))))))))))))))))))))))))), x11422 >= 0
   3'(z) -{ 2 }-> 3'(3'(2'(0'(2'(4'(3'(0'(0'(3'(3'(0'(1'(2'(4'(1'(0'(0'(2'(2'(2'(2'(2'(4'(0'(2'(3'(1'(0'(2'(2'(1'(4'(0'(4'(1'(1'(1'(2'(x11430))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11430))))))))))))))))))))))))))))))))))))), x11430 >= 0
   3'(z) -{ 2 }-> 3'(3'(2'(0'(2'(4'(3'(0'(0'(3'(3'(0'(1'(2'(4'(1'(0'(0'(2'(2'(1'(4'(2'(0'(0'(3'(3'(4'(3'(0'(2'(4'(1'(0'(2'(4'(4'(2'(1'(x11432))))))))))))))))))))))))))))))))))))))) :|: x11432 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11432)))))))))))))))))))))))))))))))))))))
   3'(z) -{ 2 }-> 3'(3'(2'(0'(2'(4'(3'(0'(0'(3'(3'(0'(1'(2'(4'(1'(0'(0'(2'(1'(4'(0'(0'(3'(1'(2'(0'(0'(3'(0'(1'(4'(4'(3'(2'(4'(2'(1'(1'(x11431))))))))))))))))))))))))))))))))))))))) :|: x11431 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11431)))))))))))))))))))))))))))))))))))))
   3'(z) -{ 2 }-> 3'(3'(2'(0'(2'(4'(3'(0'(0'(3'(3'(0'(1'(2'(4'(1'(0'(0'(2'(1'(3'(2'(2'(0'(3'(2'(0'(0'(2'(4'(0'(1'(4'(2'(0'(2'(0'(1'(2'(x11424))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11424))))))))))))))))))))))))))))))))))))), x11424 >= 0
   3'(z) -{ 2 }-> 3'(3'(2'(0'(2'(4'(3'(0'(0'(3'(3'(0'(1'(2'(4'(1'(0'(0'(2'(1'(3'(0'(4'(1'(1'(4'(3'(4'(2'(4'(4'(3'(3'(3'(2'(0'(2'(2'(1'(x11429))))))))))))))))))))))))))))))))))))))) :|: x11429 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11429)))))))))))))))))))))))))))))))))))))
   3'(z) -{ 2 }-> 3'(3'(2'(0'(2'(4'(3'(0'(0'(3'(3'(0'(1'(2'(4'(1'(0'(0'(2'(1'(2'(4'(3'(0'(1'(1'(0'(0'(2'(0'(1'(1'(3'(2'(1'(4'(1'(0'(2'(x11433))))))))))))))))))))))))))))))))))))))) :|: x11433 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11433)))))))))))))))))))))))))))))))))))))
   3'(z) -{ 2 }-> 3'(3'(2'(0'(2'(4'(3'(0'(0'(3'(3'(0'(1'(2'(4'(1'(0'(0'(2'(1'(1'(1'(4'(0'(4'(4'(0'(0'(0'(2'(1'(3'(4'(0'(2'(4'(0'(0'(2'(x11428))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11428))))))))))))))))))))))))))))))))))))), x11428 >= 0
   3'(z) -{ 2 }-> 3'(3'(2'(0'(2'(4'(3'(0'(0'(3'(3'(0'(1'(2'(4'(1'(0'(0'(2'(0'(3'(2'(2'(4'(3'(3'(1'(0'(0'(3'(3'(1'(0'(3'(3'(4'(4'(2'(2'(x11423))))))))))))))))))))))))))))))))))))))) :|: x11423 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11423)))))))))))))))))))))))))))))))))))))
   3'(z) -{ 2 }-> 3'(3'(2'(0'(2'(4'(3'(0'(0'(3'(3'(0'(1'(2'(4'(1'(0'(0'(2'(0'(3'(0'(3'(4'(0'(0'(1'(0'(2'(1'(2'(4'(0'(3'(0'(3'(0'(2'(2'(x11435))))))))))))))))))))))))))))))))))))))) :|: x11435 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11435)))))))))))))))))))))))))))))))))))))
   3'(z) -{ 2 }-> 3'(3'(2'(0'(2'(4'(3'(0'(0'(3'(3'(0'(1'(2'(4'(1'(0'(0'(2'(0'(1'(3'(2'(1'(3'(4'(1'(4'(2'(4'(0'(2'(4'(2'(3'(0'(0'(2'(1'(x11427))))))))))))))))))))))))))))))))))))))) :|: x11427 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11427)))))))))))))))))))))))))))))))))))))
   3'(z) -{ 1 }-> 3'(3'(2'(0'(2'(4'(3'(0'(0'(3'(3'(0'(1'(2'(4'(1'(0'(0'(2'(0))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   3'(z) -{ 1 }-> 3'(3'(2'(0'(2'(4'(3'(0'(0'(3'(3'(0'(1'(2'(4'(1'(0'(0'(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 }-> 3'(0'(3'(0'(4'(3'(2'(2'(1'(1'(4'(4'(4'(3'(0'(2'(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) -{ 1 }-> 3'(0'(2'(3'(4'(2'(0'(2'(1'(4'(0'(3'(3'(2'(4'(1'(2'(4'(1'(2'(x1)))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   3'(z) -{ 1 }-> 3'(0'(1'(0'(0'(4'(4'(4'(4'(2'(4'(4'(4'(3'(0'(0'(2'(1'(4'(2'(x1)))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   3'(z) -{ 1 }-> 2'(4'(0'(3'(2'(3'(1'(4'(3'(2'(2'(2'(0'(1'(0'(2'(3'(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 }-> 2'(0'(2'(1'(1'(1'(3'(3'(0'(4'(2'(4'(3'(0'(1'(1'(1'(4'(1'(2'(x1)))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   3'(z) -{ 1 }-> 1'(4'(1'(1'(2'(1'(1'(3'(4'(1'(4'(2'(0'(0'(2'(2'(3'(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) -{ 1 }-> 1'(4'(0'(1'(0'(4'(1'(1'(3'(4'(3'(2'(4'(4'(3'(2'(1'(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))))))))))))))))))
   3'(z) -{ 2 }-> 1'(3'(4'(2'(4'(4'(4'(3'(2'(4'(4'(0'(3'(3'(4'(0'(4'(2'(2'(4'(3'(0'(3'(2'(2'(1'(3'(4'(0'(1'(0'(1'(2'(0'(1'(1'(4'(4'(2'(x11739))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11739))))))))))))))))))))))))))))))))))))), x11739 >= 0
   3'(z) -{ 2 }-> 1'(3'(4'(2'(4'(4'(4'(3'(2'(4'(4'(0'(3'(3'(4'(0'(4'(2'(2'(4'(2'(4'(1'(4'(0'(3'(0'(4'(3'(0'(3'(3'(1'(3'(0'(2'(1'(2'(1'(x11741))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11741))))))))))))))))))))))))))))))))))))), x11741 >= 0
   3'(z) -{ 2 }-> 1'(3'(4'(2'(4'(4'(4'(3'(2'(4'(4'(0'(3'(3'(4'(0'(4'(2'(2'(3'(4'(2'(1'(1'(1'(4'(4'(0'(0'(0'(3'(0'(4'(1'(4'(3'(2'(4'(2'(x11731))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11731))))))))))))))))))))))))))))))))))))), x11731 >= 0
   3'(z) -{ 2 }-> 1'(3'(4'(2'(4'(4'(4'(3'(2'(4'(4'(0'(3'(3'(4'(0'(4'(2'(2'(3'(3'(4'(0'(4'(0'(1'(0'(4'(0'(1'(1'(4'(4'(1'(3'(3'(2'(0'(2'(x11730))))))))))))))))))))))))))))))))))))))) :|: x11730 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11730)))))))))))))))))))))))))))))))))))))
   3'(z) -{ 2 }-> 1'(3'(4'(2'(4'(4'(4'(3'(2'(4'(4'(0'(3'(3'(4'(0'(4'(2'(2'(3'(0'(4'(1'(1'(4'(0'(4'(1'(2'(1'(4'(2'(0'(4'(4'(3'(3'(2'(2'(x11727))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11727))))))))))))))))))))))))))))))))))))), x11727 >= 0
   3'(z) -{ 2 }-> 1'(3'(4'(2'(4'(4'(4'(3'(2'(4'(4'(0'(3'(3'(4'(0'(4'(2'(2'(2'(2'(2'(2'(4'(0'(2'(3'(1'(0'(2'(2'(1'(4'(0'(4'(1'(1'(1'(2'(x11735))))))))))))))))))))))))))))))))))))))) :|: x11735 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11735)))))))))))))))))))))))))))))))))))))
   3'(z) -{ 2 }-> 1'(3'(4'(2'(4'(4'(4'(3'(2'(4'(4'(0'(3'(3'(4'(0'(4'(2'(2'(2'(1'(4'(2'(0'(0'(3'(3'(4'(3'(0'(2'(4'(1'(0'(2'(4'(4'(2'(1'(x11737))))))))))))))))))))))))))))))))))))))) :|: x11737 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11737)))))))))))))))))))))))))))))))))))))
   3'(z) -{ 2 }-> 1'(3'(4'(2'(4'(4'(4'(3'(2'(4'(4'(0'(3'(3'(4'(0'(4'(2'(2'(1'(4'(0'(0'(3'(1'(2'(0'(0'(3'(0'(1'(4'(4'(3'(2'(4'(2'(1'(1'(x11736))))))))))))))))))))))))))))))))))))))) :|: x11736 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11736)))))))))))))))))))))))))))))))))))))
   3'(z) -{ 2 }-> 1'(3'(4'(2'(4'(4'(4'(3'(2'(4'(4'(0'(3'(3'(4'(0'(4'(2'(2'(1'(3'(2'(2'(0'(3'(2'(0'(0'(2'(4'(0'(1'(4'(2'(0'(2'(0'(1'(2'(x11729))))))))))))))))))))))))))))))))))))))) :|: x11729 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11729)))))))))))))))))))))))))))))))))))))
   3'(z) -{ 2 }-> 1'(3'(4'(2'(4'(4'(4'(3'(2'(4'(4'(0'(3'(3'(4'(0'(4'(2'(2'(1'(3'(0'(4'(1'(1'(4'(3'(4'(2'(4'(4'(3'(3'(3'(2'(0'(2'(2'(1'(x11734))))))))))))))))))))))))))))))))))))))) :|: x11734 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11734)))))))))))))))))))))))))))))))))))))
   3'(z) -{ 2 }-> 1'(3'(4'(2'(4'(4'(4'(3'(2'(4'(4'(0'(3'(3'(4'(0'(4'(2'(2'(1'(2'(4'(3'(0'(1'(1'(0'(0'(2'(0'(1'(1'(3'(2'(1'(4'(1'(0'(2'(x11738))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11738))))))))))))))))))))))))))))))))))))), x11738 >= 0
   3'(z) -{ 2 }-> 1'(3'(4'(2'(4'(4'(4'(3'(2'(4'(4'(0'(3'(3'(4'(0'(4'(2'(2'(1'(1'(1'(4'(0'(4'(4'(0'(0'(0'(2'(1'(3'(4'(0'(2'(4'(0'(0'(2'(x11733))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11733))))))))))))))))))))))))))))))))))))), x11733 >= 0
   3'(z) -{ 2 }-> 1'(3'(4'(2'(4'(4'(4'(3'(2'(4'(4'(0'(3'(3'(4'(0'(4'(2'(2'(0'(3'(2'(2'(4'(3'(3'(1'(0'(0'(3'(3'(1'(0'(3'(3'(4'(4'(2'(2'(x11728))))))))))))))))))))))))))))))))))))))) :|: x11728 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11728)))))))))))))))))))))))))))))))))))))
   3'(z) -{ 2 }-> 1'(3'(4'(2'(4'(4'(4'(3'(2'(4'(4'(0'(3'(3'(4'(0'(4'(2'(2'(0'(3'(0'(3'(4'(0'(0'(1'(0'(2'(1'(2'(4'(0'(3'(0'(3'(0'(2'(2'(x11740))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11740))))))))))))))))))))))))))))))))))))), x11740 >= 0
   3'(z) -{ 2 }-> 1'(3'(4'(2'(4'(4'(4'(3'(2'(4'(4'(0'(3'(3'(4'(0'(4'(2'(2'(0'(1'(3'(2'(1'(3'(4'(1'(4'(2'(4'(0'(2'(4'(2'(3'(0'(0'(2'(1'(x11732))))))))))))))))))))))))))))))))))))))) :|: x11732 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11732)))))))))))))))))))))))))))))))))))))
   3'(z) -{ 1 }-> 1'(3'(4'(2'(4'(4'(4'(3'(2'(4'(4'(0'(3'(3'(4'(0'(4'(2'(2'(0))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   3'(z) -{ 1 }-> 1'(3'(4'(2'(4'(4'(4'(3'(2'(4'(4'(0'(3'(3'(4'(0'(4'(2'(2'(1 + x1))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   3'(z) -{ 1 }-> 1'(3'(0'(2'(1'(3'(2'(1'(4'(2'(2'(2'(3'(4'(4'(0'(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))))))))))))))))))
   3'(z) -{ 2 }-> 0'(3'(1'(2'(2'(2'(4'(0'(3'(0'(0'(3'(2'(4'(4'(2'(4'(3'(2'(4'(3'(0'(3'(2'(2'(1'(3'(4'(0'(1'(0'(1'(2'(0'(1'(1'(4'(4'(2'(x11663))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11663))))))))))))))))))))))))))))))))))))), x11663 >= 0
   3'(z) -{ 2 }-> 0'(3'(1'(2'(2'(2'(4'(0'(3'(0'(0'(3'(2'(4'(4'(2'(4'(3'(2'(4'(2'(4'(1'(4'(0'(3'(0'(4'(3'(0'(3'(3'(1'(3'(0'(2'(1'(2'(1'(x11665))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11665))))))))))))))))))))))))))))))))))))), x11665 >= 0
   3'(z) -{ 2 }-> 0'(3'(1'(2'(2'(2'(4'(0'(3'(0'(0'(3'(2'(4'(4'(2'(4'(3'(2'(3'(4'(2'(1'(1'(1'(4'(4'(0'(0'(0'(3'(0'(4'(1'(4'(3'(2'(4'(2'(x11655))))))))))))))))))))))))))))))))))))))) :|: x11655 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11655)))))))))))))))))))))))))))))))))))))
   3'(z) -{ 2 }-> 0'(3'(1'(2'(2'(2'(4'(0'(3'(0'(0'(3'(2'(4'(4'(2'(4'(3'(2'(3'(3'(4'(0'(4'(0'(1'(0'(4'(0'(1'(1'(4'(4'(1'(3'(3'(2'(0'(2'(x11654))))))))))))))))))))))))))))))))))))))) :|: x11654 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11654)))))))))))))))))))))))))))))))))))))
   3'(z) -{ 2 }-> 0'(3'(1'(2'(2'(2'(4'(0'(3'(0'(0'(3'(2'(4'(4'(2'(4'(3'(2'(3'(0'(4'(1'(1'(4'(0'(4'(1'(2'(1'(4'(2'(0'(4'(4'(3'(3'(2'(2'(x11651))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11651))))))))))))))))))))))))))))))))))))), x11651 >= 0
   3'(z) -{ 2 }-> 0'(3'(1'(2'(2'(2'(4'(0'(3'(0'(0'(3'(2'(4'(4'(2'(4'(3'(2'(2'(2'(2'(2'(4'(0'(2'(3'(1'(0'(2'(2'(1'(4'(0'(4'(1'(1'(1'(2'(x11659))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11659))))))))))))))))))))))))))))))))))))), x11659 >= 0
   3'(z) -{ 2 }-> 0'(3'(1'(2'(2'(2'(4'(0'(3'(0'(0'(3'(2'(4'(4'(2'(4'(3'(2'(2'(1'(4'(2'(0'(0'(3'(3'(4'(3'(0'(2'(4'(1'(0'(2'(4'(4'(2'(1'(x11661))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11661))))))))))))))))))))))))))))))))))))), x11661 >= 0
   3'(z) -{ 2 }-> 0'(3'(1'(2'(2'(2'(4'(0'(3'(0'(0'(3'(2'(4'(4'(2'(4'(3'(2'(1'(4'(0'(0'(3'(1'(2'(0'(0'(3'(0'(1'(4'(4'(3'(2'(4'(2'(1'(1'(x11660))))))))))))))))))))))))))))))))))))))) :|: x11660 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11660)))))))))))))))))))))))))))))))))))))
   3'(z) -{ 2 }-> 0'(3'(1'(2'(2'(2'(4'(0'(3'(0'(0'(3'(2'(4'(4'(2'(4'(3'(2'(1'(3'(2'(2'(0'(3'(2'(0'(0'(2'(4'(0'(1'(4'(2'(0'(2'(0'(1'(2'(x11653))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11653))))))))))))))))))))))))))))))))))))), x11653 >= 0
   3'(z) -{ 2 }-> 0'(3'(1'(2'(2'(2'(4'(0'(3'(0'(0'(3'(2'(4'(4'(2'(4'(3'(2'(1'(3'(0'(4'(1'(1'(4'(3'(4'(2'(4'(4'(3'(3'(3'(2'(0'(2'(2'(1'(x11658))))))))))))))))))))))))))))))))))))))) :|: x11658 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11658)))))))))))))))))))))))))))))))))))))
   3'(z) -{ 2 }-> 0'(3'(1'(2'(2'(2'(4'(0'(3'(0'(0'(3'(2'(4'(4'(2'(4'(3'(2'(1'(2'(4'(3'(0'(1'(1'(0'(0'(2'(0'(1'(1'(3'(2'(1'(4'(1'(0'(2'(x11662))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11662))))))))))))))))))))))))))))))))))))), x11662 >= 0
   3'(z) -{ 2 }-> 0'(3'(1'(2'(2'(2'(4'(0'(3'(0'(0'(3'(2'(4'(4'(2'(4'(3'(2'(1'(1'(1'(4'(0'(4'(4'(0'(0'(0'(2'(1'(3'(4'(0'(2'(4'(0'(0'(2'(x11657))))))))))))))))))))))))))))))))))))))) :|: x11657 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11657)))))))))))))))))))))))))))))))))))))
   3'(z) -{ 2 }-> 0'(3'(1'(2'(2'(2'(4'(0'(3'(0'(0'(3'(2'(4'(4'(2'(4'(3'(2'(0'(3'(2'(2'(4'(3'(3'(1'(0'(0'(3'(3'(1'(0'(3'(3'(4'(4'(2'(2'(x11652))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11652))))))))))))))))))))))))))))))))))))), x11652 >= 0
   3'(z) -{ 2 }-> 0'(3'(1'(2'(2'(2'(4'(0'(3'(0'(0'(3'(2'(4'(4'(2'(4'(3'(2'(0'(3'(0'(3'(4'(0'(0'(1'(0'(2'(1'(2'(4'(0'(3'(0'(3'(0'(2'(2'(x11664))))))))))))))))))))))))))))))))))))))) :|: x11664 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11664)))))))))))))))))))))))))))))))))))))
   3'(z) -{ 2 }-> 0'(3'(1'(2'(2'(2'(4'(0'(3'(0'(0'(3'(2'(4'(4'(2'(4'(3'(2'(0'(1'(3'(2'(1'(3'(4'(1'(4'(2'(4'(0'(2'(4'(2'(3'(0'(0'(2'(1'(x11656))))))))))))))))))))))))))))))))))))))) :|: x11656 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11656)))))))))))))))))))))))))))))))))))))
   3'(z) -{ 1 }-> 0'(3'(1'(2'(2'(2'(4'(0'(3'(0'(0'(3'(2'(4'(4'(2'(4'(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 }-> 0'(3'(1'(2'(2'(2'(4'(0'(3'(0'(0'(3'(2'(4'(4'(2'(4'(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 }-> 0'(2'(4'(3'(3'(2'(4'(3'(3'(3'(1'(2'(2'(3'(4'(3'(4'(3'(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'(2'(4'(3'(1'(2'(3'(4'(1'(2'(0'(1'(1'(3'(3'(4'(1'(0'(1'(2'(x1)))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   3'(z) -{ 1 }-> 0'(2'(4'(1'(2'(0'(3'(0'(2'(3'(4'(1'(1'(4'(0'(3'(3'(2'(4'(2'(x1)))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   3'(z) -{ 1 }-> 0'(2'(3'(1'(3'(1'(0'(1'(2'(1'(1'(1'(1'(3'(3'(4'(4'(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))))))))))))))))))
   3'(z) -{ 1 }-> 0'(1'(2'(0'(4'(2'(3'(1'(4'(0'(1'(1'(0'(0'(1'(1'(0'(1'(1'(2'(x1)))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   3'(z) -{ 1 }-> 0'(1'(0'(1'(1'(1'(4'(4'(0'(1'(3'(2'(2'(4'(1'(4'(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))))))))))))))))))
   3'(z) -{ 1 }-> 0'(0'(1'(2'(2'(0'(4'(4'(4'(1'(0'(2'(4'(1'(4'(4'(0'(1'(1'(2'(x1)))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   3'(z) -{ 0 }-> 0 :|: v0 >= 0, z = v0
   3'(z) -{ 0 }-> 1 + x0 :|: z = x0, x0 >= 0
   4'(z) -{ 1 }-> 4'(4'(4'(4'(1'(0'(0'(3'(1'(4'(0'(4'(4'(0'(3'(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))))))))))))))))))
   4'(z) -{ 1 }-> 4'(4'(3'(4'(1'(0'(4'(4'(3'(0'(2'(1'(4'(2'(1'(1'(4'(4'(1'(2'(x1)))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   4'(z) -{ 2 }-> 4'(4'(1'(4'(4'(4'(1'(1'(4'(0'(2'(3'(2'(3'(1'(2'(2'(1'(2'(4'(3'(0'(3'(2'(2'(1'(3'(4'(0'(1'(0'(1'(2'(0'(1'(1'(4'(4'(2'(x11266))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11266))))))))))))))))))))))))))))))))))))), x11266 >= 0
   4'(z) -{ 2 }-> 4'(4'(1'(4'(4'(4'(1'(1'(4'(0'(2'(3'(2'(3'(1'(2'(2'(1'(2'(4'(2'(4'(1'(4'(0'(3'(0'(4'(3'(0'(3'(3'(1'(3'(0'(2'(1'(2'(1'(x11268))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11268))))))))))))))))))))))))))))))))))))), x11268 >= 0
   4'(z) -{ 2 }-> 4'(4'(1'(4'(4'(4'(1'(1'(4'(0'(2'(3'(2'(3'(1'(2'(2'(1'(2'(3'(4'(2'(1'(1'(1'(4'(4'(0'(0'(0'(3'(0'(4'(1'(4'(3'(2'(4'(2'(x11258))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11258))))))))))))))))))))))))))))))))))))), x11258 >= 0
   4'(z) -{ 2 }-> 4'(4'(1'(4'(4'(4'(1'(1'(4'(0'(2'(3'(2'(3'(1'(2'(2'(1'(2'(3'(3'(4'(0'(4'(0'(1'(0'(4'(0'(1'(1'(4'(4'(1'(3'(3'(2'(0'(2'(x11257))))))))))))))))))))))))))))))))))))))) :|: x11257 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11257)))))))))))))))))))))))))))))))))))))
   4'(z) -{ 2 }-> 4'(4'(1'(4'(4'(4'(1'(1'(4'(0'(2'(3'(2'(3'(1'(2'(2'(1'(2'(3'(0'(4'(1'(1'(4'(0'(4'(1'(2'(1'(4'(2'(0'(4'(4'(3'(3'(2'(2'(x11254))))))))))))))))))))))))))))))))))))))) :|: x11254 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11254)))))))))))))))))))))))))))))))))))))
   4'(z) -{ 2 }-> 4'(4'(1'(4'(4'(4'(1'(1'(4'(0'(2'(3'(2'(3'(1'(2'(2'(1'(2'(2'(2'(2'(2'(4'(0'(2'(3'(1'(0'(2'(2'(1'(4'(0'(4'(1'(1'(1'(2'(x11262))))))))))))))))))))))))))))))))))))))) :|: x11262 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11262)))))))))))))))))))))))))))))))))))))
   4'(z) -{ 2 }-> 4'(4'(1'(4'(4'(4'(1'(1'(4'(0'(2'(3'(2'(3'(1'(2'(2'(1'(2'(2'(1'(4'(2'(0'(0'(3'(3'(4'(3'(0'(2'(4'(1'(0'(2'(4'(4'(2'(1'(x11264))))))))))))))))))))))))))))))))))))))) :|: x11264 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11264)))))))))))))))))))))))))))))))))))))
   4'(z) -{ 2 }-> 4'(4'(1'(4'(4'(4'(1'(1'(4'(0'(2'(3'(2'(3'(1'(2'(2'(1'(2'(1'(4'(0'(0'(3'(1'(2'(0'(0'(3'(0'(1'(4'(4'(3'(2'(4'(2'(1'(1'(x11263))))))))))))))))))))))))))))))))))))))) :|: x11263 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11263)))))))))))))))))))))))))))))))))))))
   4'(z) -{ 2 }-> 4'(4'(1'(4'(4'(4'(1'(1'(4'(0'(2'(3'(2'(3'(1'(2'(2'(1'(2'(1'(3'(2'(2'(0'(3'(2'(0'(0'(2'(4'(0'(1'(4'(2'(0'(2'(0'(1'(2'(x11256))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11256))))))))))))))))))))))))))))))))))))), x11256 >= 0
   4'(z) -{ 2 }-> 4'(4'(1'(4'(4'(4'(1'(1'(4'(0'(2'(3'(2'(3'(1'(2'(2'(1'(2'(1'(3'(0'(4'(1'(1'(4'(3'(4'(2'(4'(4'(3'(3'(3'(2'(0'(2'(2'(1'(x11261))))))))))))))))))))))))))))))))))))))) :|: x11261 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11261)))))))))))))))))))))))))))))))))))))
   4'(z) -{ 2 }-> 4'(4'(1'(4'(4'(4'(1'(1'(4'(0'(2'(3'(2'(3'(1'(2'(2'(1'(2'(1'(2'(4'(3'(0'(1'(1'(0'(0'(2'(0'(1'(1'(3'(2'(1'(4'(1'(0'(2'(x11265))))))))))))))))))))))))))))))))))))))) :|: x11265 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11265)))))))))))))))))))))))))))))))))))))
   4'(z) -{ 2 }-> 4'(4'(1'(4'(4'(4'(1'(1'(4'(0'(2'(3'(2'(3'(1'(2'(2'(1'(2'(1'(1'(1'(4'(0'(4'(4'(0'(0'(0'(2'(1'(3'(4'(0'(2'(4'(0'(0'(2'(x11260))))))))))))))))))))))))))))))))))))))) :|: x11260 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11260)))))))))))))))))))))))))))))))))))))
   4'(z) -{ 2 }-> 4'(4'(1'(4'(4'(4'(1'(1'(4'(0'(2'(3'(2'(3'(1'(2'(2'(1'(2'(0'(3'(2'(2'(4'(3'(3'(1'(0'(0'(3'(3'(1'(0'(3'(3'(4'(4'(2'(2'(x11255))))))))))))))))))))))))))))))))))))))) :|: x11255 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11255)))))))))))))))))))))))))))))))))))))
   4'(z) -{ 2 }-> 4'(4'(1'(4'(4'(4'(1'(1'(4'(0'(2'(3'(2'(3'(1'(2'(2'(1'(2'(0'(3'(0'(3'(4'(0'(0'(1'(0'(2'(1'(2'(4'(0'(3'(0'(3'(0'(2'(2'(x11267))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11267))))))))))))))))))))))))))))))))))))), x11267 >= 0
   4'(z) -{ 2 }-> 4'(4'(1'(4'(4'(4'(1'(1'(4'(0'(2'(3'(2'(3'(1'(2'(2'(1'(2'(0'(1'(3'(2'(1'(3'(4'(1'(4'(2'(4'(0'(2'(4'(2'(3'(0'(0'(2'(1'(x11259))))))))))))))))))))))))))))))))))))))) :|: x11259 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11259)))))))))))))))))))))))))))))))))))))
   4'(z) -{ 1 }-> 4'(4'(1'(4'(4'(4'(1'(1'(4'(0'(2'(3'(2'(3'(1'(2'(2'(1'(2'(0))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   4'(z) -{ 1 }-> 4'(4'(1'(4'(4'(4'(1'(1'(4'(0'(2'(3'(2'(3'(1'(2'(2'(1'(2'(1 + x1))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   4'(z) -{ 2 }-> 4'(2'(3'(4'(2'(4'(1'(1'(1'(2'(0'(1'(1'(4'(0'(0'(1'(3'(2'(4'(3'(0'(3'(2'(2'(1'(3'(4'(0'(1'(0'(1'(2'(0'(1'(1'(4'(4'(2'(x11976))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11976))))))))))))))))))))))))))))))))))))), x11976 >= 0
   4'(z) -{ 2 }-> 4'(2'(3'(4'(2'(4'(1'(1'(1'(2'(0'(1'(1'(4'(0'(0'(1'(3'(2'(4'(2'(4'(1'(4'(0'(3'(0'(4'(3'(0'(3'(3'(1'(3'(0'(2'(1'(2'(1'(x11978))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11978))))))))))))))))))))))))))))))))))))), x11978 >= 0
   4'(z) -{ 2 }-> 4'(2'(3'(4'(2'(4'(1'(1'(1'(2'(0'(1'(1'(4'(0'(0'(1'(3'(2'(3'(4'(2'(1'(1'(1'(4'(4'(0'(0'(0'(3'(0'(4'(1'(4'(3'(2'(4'(2'(x11968))))))))))))))))))))))))))))))))))))))) :|: x11968 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11968)))))))))))))))))))))))))))))))))))))
   4'(z) -{ 2 }-> 4'(2'(3'(4'(2'(4'(1'(1'(1'(2'(0'(1'(1'(4'(0'(0'(1'(3'(2'(3'(3'(4'(0'(4'(0'(1'(0'(4'(0'(1'(1'(4'(4'(1'(3'(3'(2'(0'(2'(x11967))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11967))))))))))))))))))))))))))))))))))))), x11967 >= 0
   4'(z) -{ 2 }-> 4'(2'(3'(4'(2'(4'(1'(1'(1'(2'(0'(1'(1'(4'(0'(0'(1'(3'(2'(3'(0'(4'(1'(1'(4'(0'(4'(1'(2'(1'(4'(2'(0'(4'(4'(3'(3'(2'(2'(x11964))))))))))))))))))))))))))))))))))))))) :|: x11964 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11964)))))))))))))))))))))))))))))))))))))
   4'(z) -{ 2 }-> 4'(2'(3'(4'(2'(4'(1'(1'(1'(2'(0'(1'(1'(4'(0'(0'(1'(3'(2'(2'(2'(2'(2'(4'(0'(2'(3'(1'(0'(2'(2'(1'(4'(0'(4'(1'(1'(1'(2'(x11972))))))))))))))))))))))))))))))))))))))) :|: x11972 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11972)))))))))))))))))))))))))))))))))))))
   4'(z) -{ 2 }-> 4'(2'(3'(4'(2'(4'(1'(1'(1'(2'(0'(1'(1'(4'(0'(0'(1'(3'(2'(2'(1'(4'(2'(0'(0'(3'(3'(4'(3'(0'(2'(4'(1'(0'(2'(4'(4'(2'(1'(x11974))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11974))))))))))))))))))))))))))))))))))))), x11974 >= 0
   4'(z) -{ 2 }-> 4'(2'(3'(4'(2'(4'(1'(1'(1'(2'(0'(1'(1'(4'(0'(0'(1'(3'(2'(1'(4'(0'(0'(3'(1'(2'(0'(0'(3'(0'(1'(4'(4'(3'(2'(4'(2'(1'(1'(x11973))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11973))))))))))))))))))))))))))))))))))))), x11973 >= 0
   4'(z) -{ 2 }-> 4'(2'(3'(4'(2'(4'(1'(1'(1'(2'(0'(1'(1'(4'(0'(0'(1'(3'(2'(1'(3'(2'(2'(0'(3'(2'(0'(0'(2'(4'(0'(1'(4'(2'(0'(2'(0'(1'(2'(x11966))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11966))))))))))))))))))))))))))))))))))))), x11966 >= 0
   4'(z) -{ 2 }-> 4'(2'(3'(4'(2'(4'(1'(1'(1'(2'(0'(1'(1'(4'(0'(0'(1'(3'(2'(1'(3'(0'(4'(1'(1'(4'(3'(4'(2'(4'(4'(3'(3'(3'(2'(0'(2'(2'(1'(x11971))))))))))))))))))))))))))))))))))))))) :|: x11971 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11971)))))))))))))))))))))))))))))))))))))
   4'(z) -{ 2 }-> 4'(2'(3'(4'(2'(4'(1'(1'(1'(2'(0'(1'(1'(4'(0'(0'(1'(3'(2'(1'(2'(4'(3'(0'(1'(1'(0'(0'(2'(0'(1'(1'(3'(2'(1'(4'(1'(0'(2'(x11975))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11975))))))))))))))))))))))))))))))))))))), x11975 >= 0
   4'(z) -{ 2 }-> 4'(2'(3'(4'(2'(4'(1'(1'(1'(2'(0'(1'(1'(4'(0'(0'(1'(3'(2'(1'(1'(1'(4'(0'(4'(4'(0'(0'(0'(2'(1'(3'(4'(0'(2'(4'(0'(0'(2'(x11970))))))))))))))))))))))))))))))))))))))) :|: x11970 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11970)))))))))))))))))))))))))))))))))))))
   4'(z) -{ 2 }-> 4'(2'(3'(4'(2'(4'(1'(1'(1'(2'(0'(1'(1'(4'(0'(0'(1'(3'(2'(0'(3'(2'(2'(4'(3'(3'(1'(0'(0'(3'(3'(1'(0'(3'(3'(4'(4'(2'(2'(x11965))))))))))))))))))))))))))))))))))))))) :|: x11965 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11965)))))))))))))))))))))))))))))))))))))
   4'(z) -{ 2 }-> 4'(2'(3'(4'(2'(4'(1'(1'(1'(2'(0'(1'(1'(4'(0'(0'(1'(3'(2'(0'(3'(0'(3'(4'(0'(0'(1'(0'(2'(1'(2'(4'(0'(3'(0'(3'(0'(2'(2'(x11977))))))))))))))))))))))))))))))))))))))) :|: x11977 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11977)))))))))))))))))))))))))))))))))))))
   4'(z) -{ 2 }-> 4'(2'(3'(4'(2'(4'(1'(1'(1'(2'(0'(1'(1'(4'(0'(0'(1'(3'(2'(0'(1'(3'(2'(1'(3'(4'(1'(4'(2'(4'(0'(2'(4'(2'(3'(0'(0'(2'(1'(x11969))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11969))))))))))))))))))))))))))))))))))))), x11969 >= 0
   4'(z) -{ 1 }-> 4'(2'(3'(4'(2'(4'(1'(1'(1'(2'(0'(1'(1'(4'(0'(0'(1'(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))))))))))))))))))
   4'(z) -{ 1 }-> 4'(2'(3'(4'(2'(4'(1'(1'(1'(2'(0'(1'(1'(4'(0'(0'(1'(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))))))))))))))))))
   4'(z) -{ 1 }-> 4'(0'(2'(3'(1'(1'(4'(3'(3'(1'(1'(4'(0'(2'(3'(2'(2'(0'(1'(2'(x1)))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   4'(z) -{ 1 }-> 3'(1'(0'(4'(2'(4'(4'(1'(2'(4'(3'(3'(2'(2'(1'(4'(3'(3'(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 }-> 2'(4'(3'(0'(3'(0'(1'(4'(2'(1'(4'(3'(2'(1'(3'(2'(3'(1'(2'(2'(x1)))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   4'(z) -{ 1 }-> 2'(4'(2'(1'(1'(4'(0'(2'(3'(0'(0'(4'(2'(4'(4'(0'(3'(3'(1'(2'(x1)))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   4'(z) -{ 1 }-> 2'(1'(1'(1'(4'(2'(2'(0'(0'(4'(1'(2'(2'(2'(0'(0'(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))))))))))))))))))
   4'(z) -{ 1 }-> 2'(0'(3'(3'(2'(4'(4'(2'(1'(1'(4'(1'(1'(0'(0'(2'(4'(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'(0'(1'(2'(0'(1'(1'(1'(1'(2'(0'(0'(1'(4'(3'(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))))))))))))))))))
   4'(z) -{ 1 }-> 0'(4'(0'(1'(3'(0'(2'(4'(3'(1'(2'(2'(3'(2'(0'(0'(4'(4'(1'(2'(x1)))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   4'(z) -{ 1 }-> 0'(3'(4'(3'(3'(2'(4'(1'(0'(0'(1'(0'(0'(2'(0'(3'(2'(0'(2'(2'(x1)))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   4'(z) -{ 1 }-> 0'(3'(3'(1'(4'(1'(1'(2'(1'(2'(1'(3'(1'(3'(1'(4'(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'(1'(3'(4'(0'(2'(0'(0'(3'(0'(0'(3'(1'(2'(4'(3'(1'(1'(3'(2'(x1)))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   4'(z) -{ 2 }-> 0'(0'(4'(1'(0'(1'(4'(2'(4'(1'(0'(0'(0'(1'(4'(1'(3'(3'(2'(4'(3'(0'(3'(2'(2'(1'(3'(4'(0'(1'(0'(1'(2'(0'(1'(1'(4'(4'(2'(x1371))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1371))))))))))))))))))))))))))))))))))))), x1371 >= 0
   4'(z) -{ 2 }-> 0'(0'(4'(1'(0'(1'(4'(2'(4'(1'(0'(0'(0'(1'(4'(1'(3'(3'(2'(4'(2'(4'(1'(4'(0'(3'(0'(4'(3'(0'(3'(3'(1'(3'(0'(2'(1'(2'(1'(x1373))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1373))))))))))))))))))))))))))))))))))))), x1373 >= 0
   4'(z) -{ 2 }-> 0'(0'(4'(1'(0'(1'(4'(2'(4'(1'(0'(0'(0'(1'(4'(1'(3'(3'(2'(3'(4'(2'(1'(1'(1'(4'(4'(0'(0'(0'(3'(0'(4'(1'(4'(3'(2'(4'(2'(x1363))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1363))))))))))))))))))))))))))))))))))))), x1363 >= 0
   4'(z) -{ 2 }-> 0'(0'(4'(1'(0'(1'(4'(2'(4'(1'(0'(0'(0'(1'(4'(1'(3'(3'(2'(3'(3'(4'(0'(4'(0'(1'(0'(4'(0'(1'(1'(4'(4'(1'(3'(3'(2'(0'(2'(x1362))))))))))))))))))))))))))))))))))))))) :|: x1362 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1362)))))))))))))))))))))))))))))))))))))
   4'(z) -{ 2 }-> 0'(0'(4'(1'(0'(1'(4'(2'(4'(1'(0'(0'(0'(1'(4'(1'(3'(3'(2'(3'(0'(4'(1'(1'(4'(0'(4'(1'(2'(1'(4'(2'(0'(4'(4'(3'(3'(2'(2'(x1359))))))))))))))))))))))))))))))))))))))) :|: x1359 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1359)))))))))))))))))))))))))))))))))))))
   4'(z) -{ 2 }-> 0'(0'(4'(1'(0'(1'(4'(2'(4'(1'(0'(0'(0'(1'(4'(1'(3'(3'(2'(2'(2'(2'(2'(4'(0'(2'(3'(1'(0'(2'(2'(1'(4'(0'(4'(1'(1'(1'(2'(x1367))))))))))))))))))))))))))))))))))))))) :|: x1367 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1367)))))))))))))))))))))))))))))))))))))
   4'(z) -{ 2 }-> 0'(0'(4'(1'(0'(1'(4'(2'(4'(1'(0'(0'(0'(1'(4'(1'(3'(3'(2'(2'(1'(4'(2'(0'(0'(3'(3'(4'(3'(0'(2'(4'(1'(0'(2'(4'(4'(2'(1'(x1369))))))))))))))))))))))))))))))))))))))) :|: x1369 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1369)))))))))))))))))))))))))))))))))))))
   4'(z) -{ 2 }-> 0'(0'(4'(1'(0'(1'(4'(2'(4'(1'(0'(0'(0'(1'(4'(1'(3'(3'(2'(1'(4'(0'(0'(3'(1'(2'(0'(0'(3'(0'(1'(4'(4'(3'(2'(4'(2'(1'(1'(x1368))))))))))))))))))))))))))))))))))))))) :|: x1368 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1368)))))))))))))))))))))))))))))))))))))
   4'(z) -{ 2 }-> 0'(0'(4'(1'(0'(1'(4'(2'(4'(1'(0'(0'(0'(1'(4'(1'(3'(3'(2'(1'(3'(2'(2'(0'(3'(2'(0'(0'(2'(4'(0'(1'(4'(2'(0'(2'(0'(1'(2'(x1361))))))))))))))))))))))))))))))))))))))) :|: x1361 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1361)))))))))))))))))))))))))))))))))))))
   4'(z) -{ 2 }-> 0'(0'(4'(1'(0'(1'(4'(2'(4'(1'(0'(0'(0'(1'(4'(1'(3'(3'(2'(1'(3'(0'(4'(1'(1'(4'(3'(4'(2'(4'(4'(3'(3'(3'(2'(0'(2'(2'(1'(x1366))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1366))))))))))))))))))))))))))))))))))))), x1366 >= 0
   4'(z) -{ 2 }-> 0'(0'(4'(1'(0'(1'(4'(2'(4'(1'(0'(0'(0'(1'(4'(1'(3'(3'(2'(1'(2'(4'(3'(0'(1'(1'(0'(0'(2'(0'(1'(1'(3'(2'(1'(4'(1'(0'(2'(x1370))))))))))))))))))))))))))))))))))))))) :|: x1370 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1370)))))))))))))))))))))))))))))))))))))
   4'(z) -{ 2 }-> 0'(0'(4'(1'(0'(1'(4'(2'(4'(1'(0'(0'(0'(1'(4'(1'(3'(3'(2'(1'(1'(1'(4'(0'(4'(4'(0'(0'(0'(2'(1'(3'(4'(0'(2'(4'(0'(0'(2'(x1365))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1365))))))))))))))))))))))))))))))))))))), x1365 >= 0
   4'(z) -{ 2 }-> 0'(0'(4'(1'(0'(1'(4'(2'(4'(1'(0'(0'(0'(1'(4'(1'(3'(3'(2'(0'(3'(2'(2'(4'(3'(3'(1'(0'(0'(3'(3'(1'(0'(3'(3'(4'(4'(2'(2'(x1360))))))))))))))))))))))))))))))))))))))) :|: x1360 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1360)))))))))))))))))))))))))))))))))))))
   4'(z) -{ 2 }-> 0'(0'(4'(1'(0'(1'(4'(2'(4'(1'(0'(0'(0'(1'(4'(1'(3'(3'(2'(0'(3'(0'(3'(4'(0'(0'(1'(0'(2'(1'(2'(4'(0'(3'(0'(3'(0'(2'(2'(x1372))))))))))))))))))))))))))))))))))))))) :|: x1372 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1372)))))))))))))))))))))))))))))))))))))
   4'(z) -{ 2 }-> 0'(0'(4'(1'(0'(1'(4'(2'(4'(1'(0'(0'(0'(1'(4'(1'(3'(3'(2'(0'(1'(3'(2'(1'(3'(4'(1'(4'(2'(4'(0'(2'(4'(2'(3'(0'(0'(2'(1'(x1364))))))))))))))))))))))))))))))))))))))) :|: x1364 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1364)))))))))))))))))))))))))))))))))))))
   4'(z) -{ 1 }-> 0'(0'(4'(1'(0'(1'(4'(2'(4'(1'(0'(0'(0'(1'(4'(1'(3'(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))))))))))))))))))
   4'(z) -{ 1 }-> 0'(0'(4'(1'(0'(1'(4'(2'(4'(1'(0'(0'(0'(1'(4'(1'(3'(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))))))))))))))))))
   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'(2'(4'(0'(4'(1'(0'(1'(4'(2'(2'(2'(3'(1'(1'(4'(0'(2'(z - 19)))))))))))))))))))) :|: z - 19 >= 0
   0'(z) -{ 1 }-> 4'(2'(4'(3'(3'(2'(3'(2'(4'(1'(0'(2'(3'(1'(4'(2'(1'(4'(3'(2'(z - 19)))))))))))))))))))) :|: z - 19 >= 0
   0'(z) -{ 1 }-> 4'(0'(4'(4'(3'(3'(0'(0'(3'(4'(3'(4'(0'(1'(4'(1'(1'(4'(3'(2'(z - 19)))))))))))))))))))) :|: z - 19 >= 0
   0'(z) -{ 1 }-> 4'(0'(4'(4'(2'(2'(1'(1'(4'(3'(4'(2'(0'(2'(3'(1'(2'(0'(1'(2'(z - 19)))))))))))))))))))) :|: z - 19 >= 0
   0'(z) -{ 1 }-> 4'(0'(3'(2'(4'(0'(1'(1'(0'(2'(0'(3'(0'(1'(2'(3'(0'(1'(2'(2'(z - 19)))))))))))))))))))) :|: z - 19 >= 0
   0'(z) -{ 1 }-> 3'(1'(4'(3'(2'(4'(3'(3'(4'(0'(0'(2'(0'(3'(1'(0'(1'(0'(1'(2'(z - 19)))))))))))))))))))) :|: z - 19 >= 0
   0'(z) -{ 2 }-> 3'(1'(2'(2'(4'(0'(2'(3'(1'(3'(4'(0'(4'(1'(3'(2'(3'(1'(2'(4'(3'(0'(3'(2'(2'(1'(3'(4'(0'(1'(0'(1'(2'(0'(1'(1'(4'(4'(2'(z - 38))))))))))))))))))))))))))))))))))))))) :|: z - 38 >= 0
   0'(z) -{ 2 }-> 3'(1'(2'(2'(4'(0'(2'(3'(1'(3'(4'(0'(4'(1'(3'(2'(3'(1'(2'(4'(2'(4'(1'(4'(0'(3'(0'(4'(3'(0'(3'(3'(1'(3'(0'(2'(1'(2'(1'(z - 38))))))))))))))))))))))))))))))))))))))) :|: z - 38 >= 0
   0'(z) -{ 2 }-> 3'(1'(2'(2'(4'(0'(2'(3'(1'(3'(4'(0'(4'(1'(3'(2'(3'(1'(2'(3'(4'(2'(1'(1'(1'(4'(4'(0'(0'(0'(3'(0'(4'(1'(4'(3'(2'(4'(2'(z - 38))))))))))))))))))))))))))))))))))))))) :|: z - 38 >= 0
   0'(z) -{ 2 }-> 3'(1'(2'(2'(4'(0'(2'(3'(1'(3'(4'(0'(4'(1'(3'(2'(3'(1'(2'(3'(3'(4'(0'(4'(0'(1'(0'(4'(0'(1'(1'(4'(4'(1'(3'(3'(2'(0'(2'(z - 38))))))))))))))))))))))))))))))))))))))) :|: z - 38 >= 0
   0'(z) -{ 2 }-> 3'(1'(2'(2'(4'(0'(2'(3'(1'(3'(4'(0'(4'(1'(3'(2'(3'(1'(2'(3'(0'(4'(1'(1'(4'(0'(4'(1'(2'(1'(4'(2'(0'(4'(4'(3'(3'(2'(2'(z - 38))))))))))))))))))))))))))))))))))))))) :|: z - 38 >= 0
   0'(z) -{ 2 }-> 3'(1'(2'(2'(4'(0'(2'(3'(1'(3'(4'(0'(4'(1'(3'(2'(3'(1'(2'(2'(2'(2'(2'(4'(0'(2'(3'(1'(0'(2'(2'(1'(4'(0'(4'(1'(1'(1'(2'(z - 38))))))))))))))))))))))))))))))))))))))) :|: z - 38 >= 0
   0'(z) -{ 2 }-> 3'(1'(2'(2'(4'(0'(2'(3'(1'(3'(4'(0'(4'(1'(3'(2'(3'(1'(2'(2'(1'(4'(2'(0'(0'(3'(3'(4'(3'(0'(2'(4'(1'(0'(2'(4'(4'(2'(1'(z - 38))))))))))))))))))))))))))))))))))))))) :|: z - 38 >= 0
   0'(z) -{ 2 }-> 3'(1'(2'(2'(4'(0'(2'(3'(1'(3'(4'(0'(4'(1'(3'(2'(3'(1'(2'(1'(4'(0'(0'(3'(1'(2'(0'(0'(3'(0'(1'(4'(4'(3'(2'(4'(2'(1'(1'(z - 38))))))))))))))))))))))))))))))))))))))) :|: z - 38 >= 0
   0'(z) -{ 2 }-> 3'(1'(2'(2'(4'(0'(2'(3'(1'(3'(4'(0'(4'(1'(3'(2'(3'(1'(2'(1'(3'(2'(2'(0'(3'(2'(0'(0'(2'(4'(0'(1'(4'(2'(0'(2'(0'(1'(2'(z - 38))))))))))))))))))))))))))))))))))))))) :|: z - 38 >= 0
   0'(z) -{ 2 }-> 3'(1'(2'(2'(4'(0'(2'(3'(1'(3'(4'(0'(4'(1'(3'(2'(3'(1'(2'(1'(3'(0'(4'(1'(1'(4'(3'(4'(2'(4'(4'(3'(3'(3'(2'(0'(2'(2'(1'(z - 38))))))))))))))))))))))))))))))))))))))) :|: z - 38 >= 0
   0'(z) -{ 2 }-> 3'(1'(2'(2'(4'(0'(2'(3'(1'(3'(4'(0'(4'(1'(3'(2'(3'(1'(2'(1'(2'(4'(3'(0'(1'(1'(0'(0'(2'(0'(1'(1'(3'(2'(1'(4'(1'(0'(2'(z - 38))))))))))))))))))))))))))))))))))))))) :|: z - 38 >= 0
   0'(z) -{ 2 }-> 3'(1'(2'(2'(4'(0'(2'(3'(1'(3'(4'(0'(4'(1'(3'(2'(3'(1'(2'(1'(1'(1'(4'(0'(4'(4'(0'(0'(0'(2'(1'(3'(4'(0'(2'(4'(0'(0'(2'(z - 38))))))))))))))))))))))))))))))))))))))) :|: z - 38 >= 0
   0'(z) -{ 2 }-> 3'(1'(2'(2'(4'(0'(2'(3'(1'(3'(4'(0'(4'(1'(3'(2'(3'(1'(2'(0'(3'(2'(2'(4'(3'(3'(1'(0'(0'(3'(3'(1'(0'(3'(3'(4'(4'(2'(2'(z - 38))))))))))))))))))))))))))))))))))))))) :|: z - 38 >= 0
   0'(z) -{ 2 }-> 3'(1'(2'(2'(4'(0'(2'(3'(1'(3'(4'(0'(4'(1'(3'(2'(3'(1'(2'(0'(3'(0'(3'(4'(0'(0'(1'(0'(2'(1'(2'(4'(0'(3'(0'(3'(0'(2'(2'(z - 38))))))))))))))))))))))))))))))))))))))) :|: z - 38 >= 0
   0'(z) -{ 2 }-> 3'(1'(2'(2'(4'(0'(2'(3'(1'(3'(4'(0'(4'(1'(3'(2'(3'(1'(2'(0'(1'(3'(2'(1'(3'(4'(1'(4'(2'(4'(0'(2'(4'(2'(3'(0'(0'(2'(1'(z - 38))))))))))))))))))))))))))))))))))))))) :|: z - 38 >= 0
   0'(z) -{ 1 }-> 3'(1'(2'(2'(4'(0'(2'(3'(1'(3'(4'(0'(4'(1'(3'(2'(3'(1'(2'(0))))))))))))))))))) :|: z - 19 >= 0
   0'(z) -{ 1 }-> 3'(1'(2'(2'(4'(0'(2'(3'(1'(3'(4'(0'(4'(1'(3'(2'(3'(1'(2'(1 + (z - 19)))))))))))))))))))) :|: z - 19 >= 0
   0'(z) -{ 1 }-> 3'(0'(2'(2'(0'(1'(4'(2'(3'(3'(0'(3'(0'(2'(0'(2'(4'(2'(0'(2'(z - 19)))))))))))))))))))) :|: z - 19 >= 0
   0'(z) -{ 1 }-> 2'(2'(1'(4'(4'(2'(4'(3'(0'(2'(3'(4'(3'(0'(0'(2'(2'(2'(0'(2'(z - 19)))))))))))))))))))) :|: z - 19 >= 0
   0'(z) -{ 1 }-> 2'(2'(0'(1'(1'(3'(2'(0'(1'(0'(2'(2'(0'(4'(1'(4'(2'(2'(4'(2'(z - 19)))))))))))))))))))) :|: z - 19 >= 0
   0'(z) -{ 1 }-> 2'(1'(0'(2'(2'(4'(0'(1'(4'(2'(3'(4'(0'(1'(2'(0'(2'(4'(4'(2'(z - 19)))))))))))))))))))) :|: z - 19 >= 0
   0'(z) -{ 1 }-> 2'(0'(2'(4'(0'(2'(3'(4'(2'(0'(1'(0'(0'(3'(4'(3'(4'(0'(3'(2'(z - 19)))))))))))))))))))) :|: z - 19 >= 0
   0'(z) -{ 2 }-> 1'(3'(0'(2'(1'(0'(0'(2'(2'(0'(4'(1'(2'(2'(2'(3'(2'(4'(2'(4'(3'(0'(3'(2'(2'(1'(3'(4'(0'(1'(0'(1'(2'(0'(1'(1'(4'(4'(2'(z - 38))))))))))))))))))))))))))))))))))))))) :|: z - 38 >= 0
   0'(z) -{ 2 }-> 1'(3'(0'(2'(1'(0'(0'(2'(2'(0'(4'(1'(2'(2'(2'(3'(2'(4'(2'(4'(2'(4'(1'(4'(0'(3'(0'(4'(3'(0'(3'(3'(1'(3'(0'(2'(1'(2'(1'(z - 38))))))))))))))))))))))))))))))))))))))) :|: z - 38 >= 0
   0'(z) -{ 2 }-> 1'(3'(0'(2'(1'(0'(0'(2'(2'(0'(4'(1'(2'(2'(2'(3'(2'(4'(2'(3'(4'(2'(1'(1'(1'(4'(4'(0'(0'(0'(3'(0'(4'(1'(4'(3'(2'(4'(2'(z - 38))))))))))))))))))))))))))))))))))))))) :|: z - 38 >= 0
   0'(z) -{ 2 }-> 1'(3'(0'(2'(1'(0'(0'(2'(2'(0'(4'(1'(2'(2'(2'(3'(2'(4'(2'(3'(3'(4'(0'(4'(0'(1'(0'(4'(0'(1'(1'(4'(4'(1'(3'(3'(2'(0'(2'(z - 38))))))))))))))))))))))))))))))))))))))) :|: z - 38 >= 0
   0'(z) -{ 2 }-> 1'(3'(0'(2'(1'(0'(0'(2'(2'(0'(4'(1'(2'(2'(2'(3'(2'(4'(2'(3'(0'(4'(1'(1'(4'(0'(4'(1'(2'(1'(4'(2'(0'(4'(4'(3'(3'(2'(2'(z - 38))))))))))))))))))))))))))))))))))))))) :|: z - 38 >= 0
   0'(z) -{ 2 }-> 1'(3'(0'(2'(1'(0'(0'(2'(2'(0'(4'(1'(2'(2'(2'(3'(2'(4'(2'(2'(2'(2'(2'(4'(0'(2'(3'(1'(0'(2'(2'(1'(4'(0'(4'(1'(1'(1'(2'(z - 38))))))))))))))))))))))))))))))))))))))) :|: z - 38 >= 0
   0'(z) -{ 2 }-> 1'(3'(0'(2'(1'(0'(0'(2'(2'(0'(4'(1'(2'(2'(2'(3'(2'(4'(2'(2'(1'(4'(2'(0'(0'(3'(3'(4'(3'(0'(2'(4'(1'(0'(2'(4'(4'(2'(1'(z - 38))))))))))))))))))))))))))))))))))))))) :|: z - 38 >= 0
   0'(z) -{ 2 }-> 1'(3'(0'(2'(1'(0'(0'(2'(2'(0'(4'(1'(2'(2'(2'(3'(2'(4'(2'(1'(4'(0'(0'(3'(1'(2'(0'(0'(3'(0'(1'(4'(4'(3'(2'(4'(2'(1'(1'(z - 38))))))))))))))))))))))))))))))))))))))) :|: z - 38 >= 0
   0'(z) -{ 2 }-> 1'(3'(0'(2'(1'(0'(0'(2'(2'(0'(4'(1'(2'(2'(2'(3'(2'(4'(2'(1'(3'(2'(2'(0'(3'(2'(0'(0'(2'(4'(0'(1'(4'(2'(0'(2'(0'(1'(2'(z - 38))))))))))))))))))))))))))))))))))))))) :|: z - 38 >= 0
   0'(z) -{ 2 }-> 1'(3'(0'(2'(1'(0'(0'(2'(2'(0'(4'(1'(2'(2'(2'(3'(2'(4'(2'(1'(3'(0'(4'(1'(1'(4'(3'(4'(2'(4'(4'(3'(3'(3'(2'(0'(2'(2'(1'(z - 38))))))))))))))))))))))))))))))))))))))) :|: z - 38 >= 0
   0'(z) -{ 2 }-> 1'(3'(0'(2'(1'(0'(0'(2'(2'(0'(4'(1'(2'(2'(2'(3'(2'(4'(2'(1'(2'(4'(3'(0'(1'(1'(0'(0'(2'(0'(1'(1'(3'(2'(1'(4'(1'(0'(2'(z - 38))))))))))))))))))))))))))))))))))))))) :|: z - 38 >= 0
   0'(z) -{ 2 }-> 1'(3'(0'(2'(1'(0'(0'(2'(2'(0'(4'(1'(2'(2'(2'(3'(2'(4'(2'(1'(1'(1'(4'(0'(4'(4'(0'(0'(0'(2'(1'(3'(4'(0'(2'(4'(0'(0'(2'(z - 38))))))))))))))))))))))))))))))))))))))) :|: z - 38 >= 0
   0'(z) -{ 2 }-> 1'(3'(0'(2'(1'(0'(0'(2'(2'(0'(4'(1'(2'(2'(2'(3'(2'(4'(2'(0'(3'(2'(2'(4'(3'(3'(1'(0'(0'(3'(3'(1'(0'(3'(3'(4'(4'(2'(2'(z - 38))))))))))))))))))))))))))))))))))))))) :|: z - 38 >= 0
   0'(z) -{ 2 }-> 1'(3'(0'(2'(1'(0'(0'(2'(2'(0'(4'(1'(2'(2'(2'(3'(2'(4'(2'(0'(3'(0'(3'(4'(0'(0'(1'(0'(2'(1'(2'(4'(0'(3'(0'(3'(0'(2'(2'(z - 38))))))))))))))))))))))))))))))))))))))) :|: z - 38 >= 0
   0'(z) -{ 2 }-> 1'(3'(0'(2'(1'(0'(0'(2'(2'(0'(4'(1'(2'(2'(2'(3'(2'(4'(2'(0'(1'(3'(2'(1'(3'(4'(1'(4'(2'(4'(0'(2'(4'(2'(3'(0'(0'(2'(1'(z - 38))))))))))))))))))))))))))))))))))))))) :|: z - 38 >= 0
   0'(z) -{ 1 }-> 1'(3'(0'(2'(1'(0'(0'(2'(2'(0'(4'(1'(2'(2'(2'(3'(2'(4'(2'(0))))))))))))))))))) :|: z - 19 >= 0
   0'(z) -{ 1 }-> 1'(3'(0'(2'(1'(0'(0'(2'(2'(0'(4'(1'(2'(2'(2'(3'(2'(4'(2'(1 + (z - 19)))))))))))))))))))) :|: z - 19 >= 0
   0'(z) -{ 1 }-> 1'(2'(2'(4'(2'(4'(1'(3'(1'(3'(3'(0'(3'(3'(0'(0'(4'(3'(2'(2'(z - 19)))))))))))))))))))) :|: z - 19 >= 0
   0'(z) -{ 1 }-> 1'(1'(4'(0'(4'(1'(1'(0'(0'(1'(2'(4'(0'(3'(2'(4'(2'(0'(3'(2'(z - 19)))))))))))))))))))) :|: z - 19 >= 0
   0'(z) -{ 2 }-> 0'(4'(4'(1'(1'(4'(2'(1'(0'(1'(4'(2'(2'(0'(0'(1'(0'(1'(2'(4'(3'(0'(3'(2'(2'(1'(3'(4'(0'(1'(0'(1'(2'(0'(1'(1'(4'(4'(2'(z - 38))))))))))))))))))))))))))))))))))))))) :|: z - 38 >= 0
   0'(z) -{ 2 }-> 0'(4'(4'(1'(1'(4'(2'(1'(0'(1'(4'(2'(2'(0'(0'(1'(0'(1'(2'(4'(2'(4'(1'(4'(0'(3'(0'(4'(3'(0'(3'(3'(1'(3'(0'(2'(1'(2'(1'(z - 38))))))))))))))))))))))))))))))))))))))) :|: z - 38 >= 0
   0'(z) -{ 2 }-> 0'(4'(4'(1'(1'(4'(2'(1'(0'(1'(4'(2'(2'(0'(0'(1'(0'(1'(2'(3'(4'(2'(1'(1'(1'(4'(4'(0'(0'(0'(3'(0'(4'(1'(4'(3'(2'(4'(2'(z - 38))))))))))))))))))))))))))))))))))))))) :|: z - 38 >= 0
   0'(z) -{ 2 }-> 0'(4'(4'(1'(1'(4'(2'(1'(0'(1'(4'(2'(2'(0'(0'(1'(0'(1'(2'(3'(3'(4'(0'(4'(0'(1'(0'(4'(0'(1'(1'(4'(4'(1'(3'(3'(2'(0'(2'(z - 38))))))))))))))))))))))))))))))))))))))) :|: z - 38 >= 0
   0'(z) -{ 2 }-> 0'(4'(4'(1'(1'(4'(2'(1'(0'(1'(4'(2'(2'(0'(0'(1'(0'(1'(2'(3'(0'(4'(1'(1'(4'(0'(4'(1'(2'(1'(4'(2'(0'(4'(4'(3'(3'(2'(2'(z - 38))))))))))))))))))))))))))))))))))))))) :|: z - 38 >= 0
   0'(z) -{ 2 }-> 0'(4'(4'(1'(1'(4'(2'(1'(0'(1'(4'(2'(2'(0'(0'(1'(0'(1'(2'(2'(2'(2'(2'(4'(0'(2'(3'(1'(0'(2'(2'(1'(4'(0'(4'(1'(1'(1'(2'(z - 38))))))))))))))))))))))))))))))))))))))) :|: z - 38 >= 0
   0'(z) -{ 2 }-> 0'(4'(4'(1'(1'(4'(2'(1'(0'(1'(4'(2'(2'(0'(0'(1'(0'(1'(2'(2'(1'(4'(2'(0'(0'(3'(3'(4'(3'(0'(2'(4'(1'(0'(2'(4'(4'(2'(1'(z - 38))))))))))))))))))))))))))))))))))))))) :|: z - 38 >= 0
   0'(z) -{ 2 }-> 0'(4'(4'(1'(1'(4'(2'(1'(0'(1'(4'(2'(2'(0'(0'(1'(0'(1'(2'(1'(4'(0'(0'(3'(1'(2'(0'(0'(3'(0'(1'(4'(4'(3'(2'(4'(2'(1'(1'(z - 38))))))))))))))))))))))))))))))))))))))) :|: z - 38 >= 0
   0'(z) -{ 2 }-> 0'(4'(4'(1'(1'(4'(2'(1'(0'(1'(4'(2'(2'(0'(0'(1'(0'(1'(2'(1'(3'(2'(2'(0'(3'(2'(0'(0'(2'(4'(0'(1'(4'(2'(0'(2'(0'(1'(2'(z - 38))))))))))))))))))))))))))))))))))))))) :|: z - 38 >= 0
   0'(z) -{ 2 }-> 0'(4'(4'(1'(1'(4'(2'(1'(0'(1'(4'(2'(2'(0'(0'(1'(0'(1'(2'(1'(3'(0'(4'(1'(1'(4'(3'(4'(2'(4'(4'(3'(3'(3'(2'(0'(2'(2'(1'(z - 38))))))))))))))))))))))))))))))))))))))) :|: z - 38 >= 0
   0'(z) -{ 2 }-> 0'(4'(4'(1'(1'(4'(2'(1'(0'(1'(4'(2'(2'(0'(0'(1'(0'(1'(2'(1'(2'(4'(3'(0'(1'(1'(0'(0'(2'(0'(1'(1'(3'(2'(1'(4'(1'(0'(2'(z - 38))))))))))))))))))))))))))))))))))))))) :|: z - 38 >= 0
   0'(z) -{ 2 }-> 0'(4'(4'(1'(1'(4'(2'(1'(0'(1'(4'(2'(2'(0'(0'(1'(0'(1'(2'(1'(1'(1'(4'(0'(4'(4'(0'(0'(0'(2'(1'(3'(4'(0'(2'(4'(0'(0'(2'(z - 38))))))))))))))))))))))))))))))))))))))) :|: z - 38 >= 0
   0'(z) -{ 2 }-> 0'(4'(4'(1'(1'(4'(2'(1'(0'(1'(4'(2'(2'(0'(0'(1'(0'(1'(2'(0'(3'(2'(2'(4'(3'(3'(1'(0'(0'(3'(3'(1'(0'(3'(3'(4'(4'(2'(2'(z - 38))))))))))))))))))))))))))))))))))))))) :|: z - 38 >= 0
   0'(z) -{ 2 }-> 0'(4'(4'(1'(1'(4'(2'(1'(0'(1'(4'(2'(2'(0'(0'(1'(0'(1'(2'(0'(3'(0'(3'(4'(0'(0'(1'(0'(2'(1'(2'(4'(0'(3'(0'(3'(0'(2'(2'(z - 38))))))))))))))))))))))))))))))))))))))) :|: z - 38 >= 0
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   encode_2(z) -{ 0 }-> 0 :|: z >= 0
   encode_3(z) -{ 0 }-> 3'(4'(encArg(z - 1))) :|: z - 1 >= 0
   encode_3(z) -{ 0 }-> 3'(3'(encArg(z - 1))) :|: z - 1 >= 0
   encode_3(z) -{ 0 }-> 3'(2'(encArg(z - 1))) :|: z - 1 >= 0
   encode_3(z) -{ 0 }-> 3'(1'(encArg(z - 1))) :|: z - 1 >= 0
   encode_3(z) -{ 0 }-> 3'(0'(encArg(z - 1))) :|: z - 1 >= 0
   encode_3(z) -{ 0 }-> 3'(0) :|: z >= 0
   encode_3(z) -{ 0 }-> 0 :|: z >= 0
   encode_4(z) -{ 0 }-> 4'(4'(encArg(z - 1))) :|: z - 1 >= 0
   encode_4(z) -{ 0 }-> 4'(3'(encArg(z - 1))) :|: z - 1 >= 0
   encode_4(z) -{ 0 }-> 4'(2'(encArg(z - 1))) :|: z - 1 >= 0
   encode_4(z) -{ 0 }-> 4'(1'(encArg(z - 1))) :|: z - 1 >= 0
   encode_4(z) -{ 0 }-> 4'(0'(encArg(z - 1))) :|: z - 1 >= 0
   encode_4(z) -{ 0 }-> 4'(0) :|: z >= 0
   encode_4(z) -{ 0 }-> 0 :|: z >= 0


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

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

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

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

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

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

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

   1'(c_1(c_3(c_4(c_0(c_1(c_4(c_2(c_0(c_3(c_4(c_4(c_0(c_0(c_3(c_0(c_1(c_2(c_3(c_2(x1)))))))))))))))))))) -> 3'(0'(4'(1'(1'(4'(0'(4'(1'(2'(1'(4'(2'(0'(4'(4'(3'(3'(2'(2'(x1)))))))))))))))))))) [1]
   2'(c_4(c_4(c_0(c_2(c_4(c_2(c_2(c_3(c_1(c_0(c_2(c_0(c_0(c_1(c_1(c_4(c_2(c_2(c_1(x1)))))))))))))))))))) -> 0'(2'(4'(1'(4'(4'(0'(2'(4'(1'(1'(4'(1'(3'(3'(0'(3'(2'(1'(2'(x1)))))))))))))))))))) [1]
   4'(c_2(c_3(c_0(c_3(c_4(c_1(c_1(c_1(c_1(c_0(c_4(c_1(c_1(c_1(c_3(c_4(c_4(c_2(c_2(x1)))))))))))))))))))) -> 2'(0'(3'(3'(2'(4'(4'(2'(1'(1'(4'(1'(1'(0'(0'(2'(4'(0'(0'(2'(x1)))))))))))))))))))) [1]
   3'(c_0(c_2(c_3(c_3(c_2(c_0(c_2(c_0(c_1(c_2(c_4(c_3(c_3(c_1(c_4(c_4(c_0(c_2(c_1(x1)))))))))))))))))))) -> 2'(0'(2'(1'(1'(1'(3'(3'(0'(4'(2'(4'(3'(0'(1'(1'(1'(4'(1'(2'(x1)))))))))))))))))))) [1]
   2'(c_0(c_4(c_4(c_0(c_3(c_3(c_2(c_4(c_0(c_1(c_4(c_2(c_4(c_4(c_4(c_2(c_2(c_2(c_2(x1)))))))))))))))))))) -> 0'(2'(2'(0'(1'(0'(4'(3'(0'(2'(4'(2'(2'(4'(3'(3'(1'(3'(1'(2'(x1)))))))))))))))))))) [1]
   3'(c_2(c_1(c_1(c_1(c_4(c_2(c_4(c_0(c_3(c_1(c_3(c_0(c_2(c_3(c_0(c_4(c_0(c_3(c_2(x1)))))))))))))))))))) -> 3'(0'(3'(0'(4'(3'(2'(2'(1'(1'(4'(4'(4'(3'(0'(2'(4'(2'(2'(2'(x1)))))))))))))))))))) [1]
   3'(c_3(c_0(c_2(c_0(c_0(c_1(c_3(c_0(c_2(c_2(c_2(c_4(c_0(c_3(c_1(c_1(c_0(c_0(c_2(x1)))))))))))))))))))) -> 4'(0'(2'(1'(3'(2'(4'(0'(1'(4'(1'(1'(0'(2'(0'(0'(2'(2'(4'(2'(x1)))))))))))))))))))) [1]
   1'(c_0(c_3(c_0(c_0(c_0(c_2(c_3(c_3(c_0(c_4(c_4(c_4(c_0(c_3(c_1(c_1(c_1(c_2(c_1(x1)))))))))))))))))))) -> 0'(3'(2'(2'(4'(3'(3'(1'(0'(0'(3'(3'(1'(0'(3'(3'(4'(4'(2'(2'(x1)))))))))))))))))))) [1]
   1'(c_2(c_0(c_4(c_1(c_4(c_3(c_0(c_0(c_0(c_3(c_2(c_4(c_4(c_1(c_3(c_0(c_2(c_3(c_2(x1)))))))))))))))))))) -> 1'(3'(2'(2'(0'(3'(2'(0'(0'(2'(4'(0'(1'(4'(2'(0'(2'(0'(1'(2'(x1)))))))))))))))))))) [1]
   4'(c_1(c_1(c_3(c_2(c_3(c_0(c_3(c_3(c_3(c_4(c_2(c_4(c_4(c_4(c_1(c_0(c_2(c_0(c_2(x1)))))))))))))))))))) -> 4'(4'(4'(4'(1'(0'(0'(3'(1'(4'(0'(4'(4'(0'(3'(0'(1'(3'(2'(2'(x1)))))))))))))))))))) [1]
   2'(c_3(c_2(c_0(c_0(c_1(c_0(c_3(c_3(c_1(c_4(c_1(c_3(c_0(c_0(c_3(c_2(c_3(c_4(c_2(x1)))))))))))))))))))) -> 1'(2'(4'(4'(0'(1'(1'(4'(4'(4'(2'(2'(4'(4'(3'(2'(0'(3'(4'(2'(x1)))))))))))))))))))) [1]
   3'(c_1(c_0(c_2(c_3(c_2(c_2(c_4(c_3(c_0(c_2(c_0(c_4(c_2(c_1(c_0(c_2(c_1(c_1(c_1(x1)))))))))))))))))))) -> 1'(4'(0'(1'(0'(4'(1'(1'(3'(4'(3'(2'(4'(4'(3'(2'(1'(1'(2'(2'(x1)))))))))))))))))))) [1]
   3'(c_3(c_0(c_4(c_4(c_2(c_4(c_0(c_4(c_0(c_4(c_2(c_0(c_2(c_2(c_2(c_4(c_0(c_3(c_2(x1)))))))))))))))))))) -> 0'(1'(0'(1'(1'(1'(4'(4'(0'(1'(3'(2'(2'(4'(1'(4'(3'(4'(2'(2'(x1)))))))))))))))))))) [1]
   0'(c_1(c_1(c_1(c_1(c_2(c_4(c_4(c_0(c_3(c_4(c_4(c_0(c_2(c_0(c_4(c_1(c_1(c_2(c_1(x1)))))))))))))))))))) -> 3'(1'(4'(3'(2'(4'(3'(3'(4'(0'(0'(2'(0'(3'(1'(0'(1'(0'(1'(2'(x1)))))))))))))))))))) [1]
   0'(c_4(c_0(c_2(c_0(c_1(c_2(c_1(c_4(c_3(c_1(c_4(c_3(c_3(c_1(c_0(c_3(c_3(c_1(c_2(x1)))))))))))))))))))) -> 2'(1'(0'(2'(2'(4'(0'(1'(4'(2'(3'(4'(0'(1'(2'(0'(2'(4'(4'(2'(x1)))))))))))))))))))) [1]
   2'(c_3(c_4(c_2(c_2(c_3(c_3(c_4(c_3(c_2(c_0(c_2(c_1(c_0(c_2(c_1(c_4(c_1(c_3(c_2(x1)))))))))))))))))))) -> 1'(4'(0'(4'(1'(3'(1'(1'(1'(1'(3'(0'(1'(0'(4'(1'(4'(2'(1'(1'(x1)))))))))))))))))))) [1]
   4'(c_2(c_1(c_1(c_0(c_1(c_0(c_0(c_2(c_0(c_3(c_2(c_1(c_0(c_0(c_3(c_0(c_1(c_2(c_2(x1)))))))))))))))))))) -> 0'(0'(4'(1'(0'(1'(4'(2'(4'(1'(0'(0'(0'(1'(4'(1'(3'(3'(2'(1'(x1)))))))))))))))))))) [1]
   0'(c_1(c_3(c_3(c_3(c_3(c_0(c_1(c_1(c_2(c_0(c_0(c_4(c_4(c_4(c_3(c_1(c_0(c_0(c_2(x1)))))))))))))))))))) -> 2'(0'(2'(4'(0'(2'(3'(4'(2'(0'(1'(0'(0'(3'(4'(3'(4'(0'(3'(2'(x1)))))))))))))))))))) [1]
   2'(c_1(c_2(c_3(c_3(c_2(c_2(c_1(c_2(c_3(c_3(c_2(c_0(c_4(c_3(c_4(c_1(c_0(c_1(c_2(x1)))))))))))))))))))) -> 3'(4'(1'(4'(0'(2'(0'(1'(2'(0'(4'(4'(1'(0'(2'(4'(1'(1'(1'(2'(x1)))))))))))))))))))) [1]
   2'(c_1(c_0(c_1(c_0(c_4(c_2(c_1(c_1(c_1(c_3(c_0(c_4(c_2(c_2(c_0(c_2(c_3(c_2(c_2(x1)))))))))))))))))))) -> 3'(2'(0'(3'(1'(3'(1'(2'(1'(2'(1'(1'(1'(3'(1'(1'(4'(1'(3'(2'(x1)))))))))))))))))))) [1]
   2'(c_2(c_2(c_1(c_4(c_3(c_0(c_3(c_2(c_4(c_0(c_4(c_0(c_4(c_1(c_0(c_4(c_2(c_2(c_1(x1)))))))))))))))))))) -> 1'(1'(4'(2'(4'(4'(2'(1'(2'(0'(3'(2'(1'(4'(3'(1'(3'(2'(4'(2'(x1)))))))))))))))))))) [1]
   2'(c_4(c_2(c_0(c_3(c_2(c_2(c_4(c_4(c_3(c_0(c_1(c_0(c_3(c_2(c_3(c_2(c_2(c_4(c_2(x1)))))))))))))))))))) -> 3'(0'(4'(0'(2'(4'(1'(0'(3'(2'(3'(0'(0'(2'(4'(2'(4'(1'(0'(2'(x1)))))))))))))))))))) [1]
   0'(c_1(c_3(c_1(c_1(c_2(c_3(c_2(c_4(c_3(c_4(c_1(c_1(c_2(c_3(c_1(c_0(c_4(c_2(c_2(x1)))))))))))))))))))) -> 2'(2'(0'(1'(1'(3'(2'(0'(1'(0'(2'(2'(0'(4'(1'(4'(2'(2'(4'(2'(x1)))))))))))))))))))) [1]
   3'(c_2(c_3(c_3(c_3(c_4(c_1(c_2(c_1(c_2(c_1(c_2(c_1(c_3(c_1(c_1(c_0(c_1(c_4(c_2(x1)))))))))))))))))))) -> 3'(0'(1'(0'(0'(4'(4'(4'(4'(2'(4'(4'(4'(3'(0'(0'(2'(1'(4'(2'(x1)))))))))))))))))))) [1]
   0'(c_3(c_4(c_0(c_2(c_0(c_1(c_2(c_3(c_1(c_0(c_4(c_4(c_3(c_1(c_4(c_1(c_3(c_0(c_2(x1)))))))))))))))))))) -> 4'(0'(4'(4'(3'(3'(0'(0'(3'(4'(3'(4'(0'(1'(4'(1'(1'(4'(3'(2'(x1)))))))))))))))))))) [1]
   2'(c_0(c_1(c_2(c_0(c_1(c_3(c_2(c_2(c_0(c_4(c_3(c_2(c_2(c_4(c_3(c_0(c_1(c_2(c_1(x1)))))))))))))))))))) -> 0'(2'(2'(4'(1'(4'(4'(3'(1'(1'(2'(4'(3'(1'(2'(0'(1'(2'(1'(2'(x1)))))))))))))))))))) [1]
   3'(c_2(c_1(c_0(c_4(c_1(c_2(c_2(c_0(c_3(c_4(c_3(c_2(c_3(c_4(c_1(c_4(c_0(c_1(c_2(x1)))))))))))))))))))) -> 0'(2'(4'(3'(3'(2'(4'(3'(3'(3'(1'(2'(2'(3'(4'(3'(4'(3'(4'(2'(x1)))))))))))))))))))) [1]
   4'(c_3(c_0(c_3(c_2(c_3(c_0(c_4(c_3(c_1(c_3(c_4(c_2(c_0(c_3(c_4(c_3(c_2(c_2(c_1(x1)))))))))))))))))))) -> 0'(3'(4'(3'(3'(2'(4'(1'(0'(0'(1'(0'(0'(2'(0'(3'(2'(0'(2'(2'(x1)))))))))))))))))))) [1]
   3'(c_2(c_4(c_3(c_2(c_2(c_0(c_2(c_3(c_4(c_0(c_1(c_0(c_4(c_3(c_0(c_3(c_0(c_4(c_2(x1)))))))))))))))))))) -> 0'(1'(2'(0'(4'(2'(3'(1'(4'(0'(1'(1'(0'(0'(1'(1'(0'(1'(1'(2'(x1)))))))))))))))))))) [1]
   0'(c_4(c_3(c_2(c_4(c_4(c_3(c_4(c_1(c_3(c_3(c_2(c_3(c_1(c_0(c_1(c_2(c_1(c_2(c_2(x1)))))))))))))))))))) -> 1'(1'(4'(0'(4'(1'(1'(0'(0'(1'(2'(4'(0'(3'(2'(4'(2'(0'(3'(2'(x1)))))))))))))))))))) [1]
   2'(c_1(c_0(c_3(c_1(c_4(c_4(c_0(c_4(c_3(c_0(c_4(c_3(c_3(c_4(c_1(c_2(c_3(c_4(c_2(x1)))))))))))))))))))) -> 1'(4'(1'(4'(4'(2'(2'(0'(2'(3'(1'(0'(1'(3'(0'(0'(2'(0'(2'(1'(x1)))))))))))))))))))) [1]
   2'(c_1(c_3(c_4(c_1(c_3(c_3(c_4(c_2(c_0(c_0(c_1(c_0(c_1(c_2(c_0(c_1(c_0(c_4(c_2(x1)))))))))))))))))))) -> 2'(1'(1'(2'(1'(1'(0'(1'(4'(0'(1'(3'(2'(1'(2'(4'(0'(1'(2'(2'(x1)))))))))))))))))))) [1]
   1'(c_0(c_2(c_1(c_3(c_2(c_3(c_1(c_3(c_3(c_4(c_1(c_3(c_2(c_2(c_0(c_1(c_2(c_3(c_2(x1)))))))))))))))))))) -> 3'(3'(4'(0'(4'(0'(1'(0'(4'(0'(1'(1'(4'(4'(1'(3'(3'(2'(0'(2'(x1)))))))))))))))))))) [1]
   3'(c_1(c_1(c_2(c_4(c_3(c_1(c_2(c_3(c_0(c_1(c_1(c_1(c_2(c_2(c_3(c_1(c_1(c_3(c_2(x1)))))))))))))))))))) -> 4'(0'(0'(1'(3'(0'(1'(1'(2'(4'(2'(4'(3'(4'(1'(4'(0'(0'(0'(2'(x1)))))))))))))))))))) [1]
   0'(c_1(c_3(c_2(c_3(c_1(c_0(c_0(c_0(c_3(c_3(c_2(c_3(c_3(c_2(c_1(c_0(c_2(c_1(c_2(x1)))))))))))))))))))) -> 0'(0'(3'(4'(0'(2'(2'(4'(0'(4'(2'(1'(3'(4'(1'(3'(2'(0'(2'(1'(x1)))))))))))))))))))) [1]
   3'(c_1(c_1(c_1(c_3(c_3(c_0(c_1(c_3(c_4(c_4(c_2(c_2(c_3(c_1(c_3(c_3(c_4(c_1(c_2(x1)))))))))))))))))))) -> 1'(4'(1'(1'(2'(1'(1'(3'(4'(1'(4'(2'(0'(0'(2'(2'(3'(2'(2'(2'(x1)))))))))))))))))))) [1]
   0'(c_4(c_4(c_0(c_4(c_3(c_0(c_2(c_1(c_2(c_3(c_2(c_2(c_0(c_2(c_0(c_0(c_2(c_2(c_1(x1)))))))))))))))))))) -> 0'(2'(1'(4'(0'(2'(2'(2'(1'(1'(4'(2'(4'(0'(3'(1'(2'(0'(1'(2'(x1)))))))))))))))))))) [1]
   3'(c_0(c_4(c_3(c_2(c_3(c_3(c_2(c_3(c_0(c_1(c_0(c_1(c_0(c_1(c_3(c_1(c_4(c_2(c_1(x1)))))))))))))))))))) -> 4'(1'(3'(2'(1'(4'(1'(0'(1'(3'(3'(1'(4'(4'(0'(4'(2'(1'(1'(2'(x1)))))))))))))))))))) [1]
   3'(c_4(c_2(c_2(c_4(c_4(c_0(c_3(c_1(c_4(c_1(c_0(c_4(c_0(c_1(c_0(c_2(c_1(c_0(c_2(x1)))))))))))))))))))) -> 0'(2'(4'(1'(2'(0'(3'(0'(2'(3'(4'(1'(1'(4'(0'(3'(3'(2'(4'(2'(x1)))))))))))))))))))) [1]
   0'(c_3(c_4(c_3(c_2(c_0(c_1(c_1(c_0(c_2(c_3(c_3(c_2(c_1(c_3(c_1(c_1(c_2(c_3(c_2(x1)))))))))))))))))))) -> 1'(2'(2'(4'(2'(4'(1'(3'(1'(3'(3'(0'(3'(3'(0'(0'(4'(3'(2'(2'(x1)))))))))))))))))))) [1]
   0'(c_2(c_2(c_3(c_4(c_2(c_3(c_2(c_3(c_0(c_1(c_3(c_1(c_3(c_2(c_2(c_2(c_1(c_1(c_2(x1)))))))))))))))))))) -> 4'(0'(3'(2'(4'(0'(1'(1'(0'(2'(0'(3'(0'(1'(2'(3'(0'(1'(2'(2'(x1)))))))))))))))))))) [1]
   2'(c_0(c_1(c_2(c_0(c_1(c_0(c_1(c_0(c_4(c_3(c_1(c_4(c_4(c_4(c_0(c_2(c_3(c_3(c_2(x1)))))))))))))))))))) -> 4'(1'(0'(0'(1'(3'(2'(0'(2'(4'(1'(0'(4'(0'(2'(0'(3'(0'(2'(2'(x1)))))))))))))))))))) [1]
   4'(c_0(c_1(c_3(c_3(c_2(c_4(c_3(c_3(c_2(c_0(c_0(c_1(c_2(c_3(c_4(c_2(c_3(c_3(c_2(x1)))))))))))))))))))) -> 2'(4'(3'(0'(3'(0'(1'(4'(2'(1'(4'(3'(2'(1'(3'(2'(3'(1'(2'(2'(x1)))))))))))))))))))) [1]
   1'(c_1(c_2(c_3(c_0(c_3(c_4(c_2(c_1(c_2(c_4(c_0(c_3(c_2(c_3(c_4(c_4(c_4(c_3(c_2(x1)))))))))))))))))))) -> 3'(4'(2'(1'(1'(1'(4'(4'(0'(0'(0'(3'(0'(4'(1'(4'(3'(2'(4'(2'(x1)))))))))))))))))))) [1]
   2'(c_4(c_0(c_4(c_3(c_1(c_2(c_1(c_2(c_2(c_3(c_0(c_1(c_0(c_1(c_3(c_1(c_3(c_3(c_2(x1)))))))))))))))))))) -> 0'(2'(4'(4'(1'(4'(1'(4'(2'(2'(2'(4'(3'(3'(3'(1'(1'(0'(1'(2'(x1)))))))))))))))))))) [1]
   4'(c_4(c_3(c_1(c_1(c_3(c_4(c_3(c_2(c_3(c_1(c_1(c_0(c_0(c_0(c_0(c_0(c_0(c_2(c_1(x1)))))))))))))))))))) -> 0'(4'(0'(1'(3'(0'(2'(4'(3'(1'(2'(2'(3'(2'(0'(0'(4'(4'(1'(2'(x1)))))))))))))))))))) [1]
   2'(c_0(c_1(c_1(c_0(c_0(c_4(c_2(c_3(c_1(c_0(c_2(c_3(c_0(c_3(c_4(c_0(c_3(c_3(c_2(x1)))))))))))))))))))) -> 3'(4'(1'(3'(2'(0'(3'(0'(4'(1'(2'(4'(0'(4'(4'(1'(3'(2'(0'(2'(x1)))))))))))))))))))) [1]
   4'(c_4(c_3(c_3(c_4(c_0(c_1(c_0(c_1(c_4(c_0(c_0(c_2(c_3(c_3(c_4(c_0(c_0(c_2(c_1(x1)))))))))))))))))))) -> 1'(0'(1'(2'(0'(1'(1'(1'(1'(2'(0'(0'(1'(4'(3'(2'(2'(4'(3'(2'(x1)))))))))))))))))))) [1]
   0'(c_1(c_2(c_0(c_4(c_0(c_2(c_0(c_3(c_0(c_2(c_2(c_3(c_2(c_0(c_4(c_3(c_0(c_1(c_2(x1)))))))))))))))))))) -> 1'(3'(0'(2'(1'(0'(0'(2'(2'(0'(4'(1'(2'(2'(2'(3'(2'(4'(2'(1'(x1)))))))))))))))))))) [1]
   1'(c_0(c_3(c_4(c_4(c_4(c_4(c_4(c_1(c_3(c_0(c_1(c_2(c_0(c_2(c_0(c_1(c_1(c_3(c_2(x1)))))))))))))))))))) -> 0'(1'(3'(2'(1'(3'(4'(1'(4'(2'(4'(0'(2'(4'(2'(3'(0'(0'(2'(1'(x1)))))))))))))))))))) [1]
   3'(c_3(c_3(c_4(c_1(c_1(c_4(c_2(c_3(c_0(c_3(c_4(c_4(c_1(c_2(c_3(c_4(c_1(c_4(c_2(x1)))))))))))))))))))) -> 0'(2'(4'(3'(1'(2'(3'(4'(1'(2'(0'(1'(1'(3'(3'(4'(1'(0'(1'(2'(x1)))))))))))))))))))) [1]
   4'(c_3(c_3(c_0(c_2(c_4(c_1(c_2(c_2(c_3(c_0(c_0(c_2(c_0(c_0(c_1(c_0(c_3(c_1(c_2(x1)))))))))))))))))))) -> 4'(0'(2'(3'(1'(1'(4'(3'(3'(1'(1'(4'(0'(2'(3'(2'(2'(0'(1'(2'(x1)))))))))))))))))))) [1]
   0'(c_4(c_2(c_0(c_0(c_4(c_2(c_3(c_2(c_3(c_4(c_3(c_4(c_4(c_3(c_3(c_2(c_0(c_2(c_2(x1)))))))))))))))))))) -> 4'(0'(4'(4'(2'(2'(1'(1'(4'(3'(4'(2'(0'(2'(3'(1'(2'(0'(1'(2'(x1)))))))))))))))))))) [1]
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   2'(c_0(c_4(c_4(c_2(c_1(c_3(c_3(c_3(c_2(c_0(c_0(c_2(c_3(c_3(c_1(c_4(c_2(c_3(c_2(x1)))))))))))))))))))) -> 0'(0'(2'(1'(2'(1'(2'(0'(2'(4'(1'(4'(1'(3'(0'(1'(2'(0'(3'(2'(x1)))))))))))))))))))) [1]
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   2'(c_4(c_0(c_3(c_4(c_1(c_1(c_4(c_0(c_2(c_2(c_2(c_3(c_4(c_4(c_3(c_3(c_3(c_0(c_2(x1)))))))))))))))))))) -> 0'(1'(0'(0'(1'(1'(4'(3'(3'(0'(4'(2'(4'(1'(1'(3'(2'(2'(2'(2'(x1)))))))))))))))))))) [1]
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   3'(c_3(c_3(c_2(c_1(c_1(c_3(c_3(c_4(c_2(c_4(c_3(c_2(c_2(c_0(c_3(c_0(c_4(c_2(c_2(x1)))))))))))))))))))) -> 1'(3'(4'(2'(4'(4'(4'(3'(2'(4'(4'(0'(3'(3'(4'(0'(4'(2'(2'(1'(x1)))))))))))))))))))) [1]
   1'(c_2(c_4(c_4(c_4(c_3(c_1(c_0(c_0(c_2(c_0(c_0(c_4(c_0(c_4(c_4(c_3(c_1(c_0(c_2(x1)))))))))))))))))))) -> 1'(2'(4'(3'(0'(1'(1'(0'(0'(2'(0'(1'(1'(3'(2'(1'(4'(1'(0'(2'(x1)))))))))))))))))))) [1]
   1'(c_3(c_0(c_1(c_3(c_2(c_0(c_4(c_0(c_2(c_0(c_4(c_2(c_0(c_4(c_0(c_2(c_4(c_0(c_2(x1)))))))))))))))))))) -> 4'(3'(0'(3'(2'(2'(1'(3'(4'(0'(1'(0'(1'(2'(0'(1'(1'(4'(4'(2'(x1)))))))))))))))))))) [1]
   4'(c_1(c_1(c_4(c_4(c_0(c_1(c_2(c_1(c_0(c_0(c_4(c_4(c_2(c_3(c_3(c_3(c_1(c_3(c_2(x1)))))))))))))))))))) -> 3'(1'(0'(4'(2'(4'(4'(1'(2'(4'(3'(3'(2'(2'(1'(4'(3'(3'(4'(2'(x1)))))))))))))))))))) [1]
   3'(c_0(c_1(c_2(c_3(c_0(c_1(c_2(c_2(c_2(c_0(c_2(c_3(c_3(c_3(c_4(c_3(c_3(c_2(c_1(x1)))))))))))))))))))) -> 0'(2'(3'(1'(3'(1'(0'(1'(2'(1'(1'(1'(1'(3'(3'(4'(4'(0'(3'(2'(x1)))))))))))))))))))) [1]
   1'(c_1(c_0(c_3(c_4(c_3(c_2(c_3(c_2(c_3(c_4(c_3(c_2(c_1(c_4(c_4(c_2(c_3(c_0(c_2(x1)))))))))))))))))))) -> 0'(3'(0'(3'(4'(0'(0'(1'(0'(2'(1'(2'(4'(0'(3'(0'(3'(0'(2'(2'(x1)))))))))))))))))))) [1]
   4'(c_3(c_1(c_0(c_2(c_1(c_0(c_4(c_4(c_0(c_3(c_1(c_0(c_0(c_3(c_0(c_4(c_3(c_1(c_2(x1)))))))))))))))))))) -> 0'(1'(3'(4'(0'(2'(0'(0'(3'(0'(0'(3'(1'(2'(4'(3'(1'(1'(3'(2'(x1)))))))))))))))))))) [1]
   3'(c_2(c_3(c_1(c_0(c_1(c_4(c_2(c_4(c_3(c_1(c_0(c_4(c_1(c_4(c_3(c_3(c_1(c_0(c_2(x1)))))))))))))))))))) -> 0'(0'(1'(2'(2'(0'(4'(4'(4'(1'(0'(2'(4'(1'(4'(4'(0'(1'(1'(2'(x1)))))))))))))))))))) [1]
   2'(c_0(c_0(c_1(c_2(c_3(c_2(c_3(c_0(c_1(c_2(c_4(c_2(c_2(c_1(c_0(c_0(c_3(c_2(c_1(x1)))))))))))))))))))) -> 2'(4'(0'(1'(1'(2'(3'(0'(0'(4'(3'(0'(1'(0'(4'(2'(4'(3'(4'(2'(x1)))))))))))))))))))) [1]
   2'(c_0(c_2(c_1(c_3(c_3(c_4(c_0(c_1(c_1(c_2(c_0(c_3(c_1(c_3(c_0(c_1(c_2(c_1(c_2(x1)))))))))))))))))))) -> 2'(2'(2'(0'(1'(1'(4'(3'(2'(0'(2'(3'(3'(3'(1'(1'(2'(2'(4'(2'(x1)))))))))))))))))))) [1]
   1'(c_4(c_0(c_2(c_3(c_0(c_0(c_4(c_4(c_1(c_0(c_0(c_1(c_0(c_2(c_2(c_1(c_1(c_3(c_2(x1)))))))))))))))))))) -> 4'(2'(4'(1'(4'(0'(3'(0'(4'(3'(0'(3'(3'(1'(3'(0'(2'(1'(2'(1'(x1)))))))))))))))))))) [1]
   4'(c_0(c_1(c_4(c_1(c_2(c_1(c_3(c_4(c_2(c_4(c_3(c_3(c_2(c_1(c_1(c_4(c_4(c_2(c_2(x1)))))))))))))))))))) -> 4'(2'(3'(4'(2'(4'(1'(1'(1'(2'(0'(1'(1'(4'(0'(0'(1'(3'(2'(1'(x1)))))))))))))))))))) [1]
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   0'(c_1(c_2(c_2(c_0(c_3(c_1(c_1(c_3(c_2(c_1(c_1(c_1(c_1(c_3(c_4(c_2(c_3(c_0(c_2(x1)))))))))))))))))))) -> 4'(2'(4'(3'(3'(2'(3'(2'(4'(1'(0'(2'(3'(1'(4'(2'(1'(4'(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:
1' :: c_2:c_3:c_1:c_0:c_4: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_3:c_1:c_0:c_4: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_2:c_3:c_1:c_0:c_4: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_3:c_1:c_0:c_4: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_2:c_3:c_1:c_0:c_4: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_3:c_1:c_0:c_4: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_2:c_3:c_1:c_0:c_4: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_3:c_1:c_0:c_4: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_2:c_3:c_1:c_0:c_4: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_3:c_1:c_0:c_4: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_2:c_3:c_1:c_0:c_4: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_3:c_1:c_0:c_4: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_2:c_3:c_1:c_0:c_4: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_3:c_1:c_0:c_4: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_2:c_3:c_1:c_0:c_4: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_3:c_1:c_0:c_4: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_2:c_3:c_1:c_0:c_4: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_3:c_1:c_0:c_4:null_encArg:null_encode_0:null_encode_1:null_encode_2:null_encode_3:null_encode_4:null_0':null_1':null_2':null_3':null_4'
2' :: c_2:c_3:c_1:c_0:c_4: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_3:c_1:c_0:c_4: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_2:c_3:c_1:c_0:c_4: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_2:c_3:c_1:c_0:c_4: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_2:c_3:c_1:c_0:c_4: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_2:c_3:c_1:c_0:c_4: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_2:c_3:c_1:c_0:c_4: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_2:c_3:c_1:c_0:c_4: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_2:c_3:c_1:c_0:c_4: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_2:c_3:c_1:c_0:c_4: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_2:c_3:c_1:c_0:c_4: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_2:c_3:c_1:c_0:c_4: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_2:c_3:c_1:c_0:c_4: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_2:c_3:c_1:c_0:c_4: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_2:c_3:c_1:c_0:c_4: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_2:c_3:c_1:c_0:c_4: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_2:c_3:c_1:c_0:c_4: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_2:c_3:c_1:c_0:c_4: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_2:c_3:c_1:c_0:c_4: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'(2'(4'(0'(4'(1'(0'(1'(4'(2'(2'(2'(3'(1'(1'(4'(0'(2'(x1)))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   0'(z) -{ 1 }-> 4'(2'(4'(3'(3'(2'(3'(2'(4'(1'(0'(2'(3'(1'(4'(2'(1'(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))))))))))))))))))
   0'(z) -{ 1 }-> 4'(0'(4'(4'(3'(3'(0'(0'(3'(4'(3'(4'(0'(1'(4'(1'(1'(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))))))))))))))))))
   0'(z) -{ 1 }-> 4'(0'(4'(4'(2'(2'(1'(1'(4'(3'(4'(2'(0'(2'(3'(1'(2'(0'(1'(2'(x1)))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   0'(z) -{ 1 }-> 4'(0'(3'(2'(4'(0'(1'(1'(0'(2'(0'(3'(0'(1'(2'(3'(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 }-> 3'(1'(4'(3'(2'(4'(3'(3'(4'(0'(0'(2'(0'(3'(1'(0'(1'(0'(1'(2'(x1)))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   0'(z) -{ 1 }-> 3'(1'(2'(2'(4'(0'(2'(3'(1'(3'(4'(0'(4'(1'(3'(2'(3'(1'(2'(1'(x1)))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   0'(z) -{ 1 }-> 3'(0'(2'(2'(0'(1'(4'(2'(3'(3'(0'(3'(0'(2'(0'(2'(4'(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))))))))))))))))))
   0'(z) -{ 1 }-> 2'(2'(1'(4'(4'(2'(4'(3'(0'(2'(3'(4'(3'(0'(0'(2'(2'(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))))))))))))))))))
   0'(z) -{ 1 }-> 2'(2'(0'(1'(1'(3'(2'(0'(1'(0'(2'(2'(0'(4'(1'(4'(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))))))))))))))))))
   0'(z) -{ 1 }-> 2'(1'(0'(2'(2'(4'(0'(1'(4'(2'(3'(4'(0'(1'(2'(0'(2'(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 }-> 2'(0'(2'(4'(0'(2'(3'(4'(2'(0'(1'(0'(0'(3'(4'(3'(4'(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))))))))))))))))))
   0'(z) -{ 1 }-> 1'(3'(0'(2'(1'(0'(0'(2'(2'(0'(4'(1'(2'(2'(2'(3'(2'(4'(2'(1'(x1)))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   0'(z) -{ 1 }-> 1'(2'(2'(4'(2'(4'(1'(3'(1'(3'(3'(0'(3'(3'(0'(0'(4'(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))))))))))))))))))
   0'(z) -{ 1 }-> 1'(1'(4'(0'(4'(1'(1'(0'(0'(1'(2'(4'(0'(3'(2'(4'(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))))))))))))))))))
   0'(z) -{ 1 }-> 0'(4'(4'(1'(1'(4'(2'(1'(0'(1'(4'(2'(2'(0'(0'(1'(0'(1'(2'(1'(x1)))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   0'(z) -{ 1 }-> 0'(4'(2'(4'(4'(3'(0'(0'(0'(3'(3'(2'(4'(4'(4'(0'(0'(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))))))))))))))))))
   0'(z) -{ 1 }-> 0'(3'(3'(0'(0'(4'(2'(3'(0'(0'(3'(1'(2'(4'(2'(4'(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 }-> 0'(3'(1'(0'(2'(1'(0'(4'(2'(4'(0'(0'(1'(1'(4'(2'(3'(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))))))))))))))))))
   0'(z) -{ 1 }-> 0'(2'(1'(4'(0'(2'(2'(2'(1'(1'(4'(2'(4'(0'(3'(1'(2'(0'(1'(2'(x1)))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   0'(z) -{ 1 }-> 0'(0'(3'(4'(0'(2'(2'(4'(0'(4'(2'(1'(3'(4'(1'(3'(2'(0'(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) -{ 0 }-> 0 :|: v0 >= 0, z = v0
   0'(z) -{ 0 }-> 1 + x0 :|: z = x0, x0 >= 0
   1'(z) -{ 1 }-> 4'(3'(0'(3'(2'(2'(1'(3'(4'(0'(1'(0'(1'(2'(0'(1'(1'(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))))))))))))))))))
   1'(z) -{ 1 }-> 4'(2'(4'(1'(4'(0'(3'(0'(4'(3'(0'(3'(3'(1'(3'(0'(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) -{ 1 }-> 3'(4'(2'(1'(1'(1'(4'(4'(0'(0'(0'(3'(0'(4'(1'(4'(3'(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 }-> 3'(3'(4'(0'(4'(0'(1'(0'(4'(0'(1'(1'(4'(4'(1'(3'(3'(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 }-> 3'(0'(4'(1'(1'(4'(0'(4'(1'(2'(1'(4'(2'(0'(4'(4'(3'(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))))))))))))))))))
   1'(z) -{ 1 }-> 2'(2'(2'(2'(4'(0'(2'(3'(1'(0'(2'(2'(1'(4'(0'(4'(1'(1'(1'(2'(x1)))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   1'(z) -{ 1 }-> 2'(1'(4'(2'(0'(0'(3'(3'(4'(3'(0'(2'(4'(1'(0'(2'(4'(4'(2'(1'(x1)))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   1'(z) -{ 1 }-> 1'(4'(0'(0'(3'(1'(2'(0'(0'(3'(0'(1'(4'(4'(3'(2'(4'(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))))))))))))))))))
   1'(z) -{ 1 }-> 1'(3'(2'(2'(0'(3'(2'(0'(0'(2'(4'(0'(1'(4'(2'(0'(2'(0'(1'(2'(x1)))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   1'(z) -{ 1 }-> 1'(3'(0'(4'(1'(1'(4'(3'(4'(2'(4'(4'(3'(3'(3'(2'(0'(2'(2'(1'(x1)))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   1'(z) -{ 1 }-> 1'(2'(4'(3'(0'(1'(1'(0'(0'(2'(0'(1'(1'(3'(2'(1'(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))))))))))))))))))
   1'(z) -{ 1 }-> 1'(1'(1'(4'(0'(4'(4'(0'(0'(0'(2'(1'(3'(4'(0'(2'(4'(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))))))))))))))))))
   1'(z) -{ 1 }-> 0'(3'(2'(2'(4'(3'(3'(1'(0'(0'(3'(3'(1'(0'(3'(3'(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))))))))))))))))))
   1'(z) -{ 1 }-> 0'(3'(0'(3'(4'(0'(0'(1'(0'(2'(1'(2'(4'(0'(3'(0'(3'(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))))))))))))))))))
   1'(z) -{ 1 }-> 0'(1'(3'(2'(1'(3'(4'(1'(4'(2'(4'(0'(2'(4'(2'(3'(0'(0'(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'(1'(0'(0'(1'(3'(2'(0'(2'(4'(1'(0'(4'(0'(2'(0'(3'(0'(2'(2'(x1)))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   2'(z) -{ 1 }-> 4'(0'(3'(2'(4'(0'(1'(1'(2'(4'(0'(4'(4'(0'(4'(2'(3'(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))))))))))))))))))
   2'(z) -{ 1 }-> 3'(4'(1'(4'(0'(2'(0'(1'(2'(0'(4'(4'(1'(0'(2'(4'(1'(1'(1'(2'(x1)))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   2'(z) -{ 1 }-> 3'(4'(1'(3'(2'(0'(3'(0'(4'(1'(2'(4'(0'(4'(4'(1'(3'(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))))))))))))))))))
   2'(z) -{ 1 }-> 3'(2'(0'(3'(1'(3'(1'(2'(1'(2'(1'(1'(1'(3'(1'(1'(4'(1'(3'(2'(x1)))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   2'(z) -{ 1 }-> 3'(0'(4'(0'(2'(4'(1'(0'(3'(2'(3'(0'(0'(2'(4'(2'(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))))))))))))))))))
   2'(z) -{ 1 }-> 2'(4'(0'(1'(1'(2'(3'(0'(0'(4'(3'(0'(1'(0'(4'(2'(4'(3'(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 }-> 2'(2'(2'(0'(1'(1'(4'(3'(2'(0'(2'(3'(3'(3'(1'(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))))))))))))))))))
   2'(z) -{ 1 }-> 2'(1'(1'(2'(1'(1'(0'(1'(4'(0'(1'(3'(2'(1'(2'(4'(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))))))))))))))))))
   2'(z) -{ 1 }-> 1'(4'(1'(4'(4'(2'(2'(0'(2'(3'(1'(0'(1'(3'(0'(0'(2'(0'(2'(1'(x1)))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   2'(z) -{ 1 }-> 1'(4'(0'(4'(1'(3'(1'(1'(1'(1'(3'(0'(1'(0'(4'(1'(4'(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 }-> 1'(2'(4'(4'(0'(1'(1'(4'(4'(4'(2'(2'(4'(4'(3'(2'(0'(3'(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 }-> 1'(2'(3'(4'(0'(1'(4'(3'(1'(1'(1'(4'(1'(4'(0'(0'(2'(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))))))))))))))))))
   2'(z) -{ 1 }-> 1'(2'(1'(2'(4'(0'(2'(1'(2'(0'(3'(1'(1'(2'(2'(4'(4'(3'(1'(2'(x1)))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   2'(z) -{ 1 }-> 1'(1'(4'(2'(4'(4'(2'(1'(2'(0'(3'(2'(1'(4'(3'(1'(3'(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 }-> 1'(1'(3'(3'(1'(3'(3'(2'(2'(1'(4'(1'(2'(2'(4'(1'(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))))))))))))))))))
   2'(z) -{ 1 }-> 0'(4'(1'(0'(2'(2'(1'(0'(3'(3'(4'(2'(1'(4'(1'(2'(1'(4'(1'(2'(x1)))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   2'(z) -{ 1 }-> 0'(2'(4'(4'(1'(4'(1'(4'(2'(2'(2'(4'(3'(3'(3'(1'(1'(0'(1'(2'(x1)))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   2'(z) -{ 1 }-> 0'(2'(4'(1'(4'(4'(0'(2'(4'(1'(1'(4'(1'(3'(3'(0'(3'(2'(1'(2'(x1)))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   2'(z) -{ 1 }-> 0'(2'(2'(4'(1'(4'(4'(3'(1'(1'(2'(4'(3'(1'(2'(0'(1'(2'(1'(2'(x1)))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   2'(z) -{ 1 }-> 0'(2'(2'(0'(1'(0'(4'(3'(0'(2'(4'(2'(2'(4'(3'(3'(1'(3'(1'(2'(x1)))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   2'(z) -{ 1 }-> 0'(1'(0'(0'(1'(1'(4'(3'(3'(0'(4'(2'(4'(1'(1'(3'(2'(2'(2'(2'(x1)))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   2'(z) -{ 1 }-> 0'(0'(2'(1'(2'(1'(2'(0'(2'(4'(1'(4'(1'(3'(0'(1'(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) -{ 0 }-> 0 :|: v0 >= 0, z = v0
   2'(z) -{ 0 }-> 1 + x0 :|: z = x0, x0 >= 0
   3'(z) -{ 1 }-> 4'(4'(2'(4'(4'(2'(4'(1'(4'(4'(2'(0'(3'(2'(1'(4'(4'(2'(4'(2'(x1)))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   3'(z) -{ 1 }-> 4'(2'(0'(1'(2'(4'(3'(4'(4'(3'(3'(3'(1'(1'(3'(0'(4'(3'(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 }-> 4'(1'(3'(2'(1'(4'(1'(0'(1'(3'(3'(1'(4'(4'(0'(4'(2'(1'(1'(2'(x1)))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   3'(z) -{ 1 }-> 4'(0'(4'(1'(0'(2'(4'(3'(4'(2'(3'(2'(3'(3'(3'(0'(1'(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 }-> 4'(0'(2'(1'(3'(2'(4'(0'(1'(4'(1'(1'(0'(2'(0'(0'(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))))))))))))))))))
   3'(z) -{ 1 }-> 4'(0'(0'(1'(3'(0'(1'(1'(2'(4'(2'(4'(3'(4'(1'(4'(0'(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))))))))))))))))))
   3'(z) -{ 1 }-> 3'(3'(2'(0'(2'(4'(3'(0'(0'(3'(3'(0'(1'(2'(4'(1'(0'(0'(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 }-> 3'(0'(3'(0'(4'(3'(2'(2'(1'(1'(4'(4'(4'(3'(0'(2'(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) -{ 1 }-> 3'(0'(2'(3'(4'(2'(0'(2'(1'(4'(0'(3'(3'(2'(4'(1'(2'(4'(1'(2'(x1)))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   3'(z) -{ 1 }-> 3'(0'(1'(0'(0'(4'(4'(4'(4'(2'(4'(4'(4'(3'(0'(0'(2'(1'(4'(2'(x1)))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   3'(z) -{ 1 }-> 2'(4'(0'(3'(2'(3'(1'(4'(3'(2'(2'(2'(0'(1'(0'(2'(3'(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 }-> 2'(0'(2'(1'(1'(1'(3'(3'(0'(4'(2'(4'(3'(0'(1'(1'(1'(4'(1'(2'(x1)))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   3'(z) -{ 1 }-> 1'(4'(1'(1'(2'(1'(1'(3'(4'(1'(4'(2'(0'(0'(2'(2'(3'(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) -{ 1 }-> 1'(4'(0'(1'(0'(4'(1'(1'(3'(4'(3'(2'(4'(4'(3'(2'(1'(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))))))))))))))))))
   3'(z) -{ 1 }-> 1'(3'(4'(2'(4'(4'(4'(3'(2'(4'(4'(0'(3'(3'(4'(0'(4'(2'(2'(1'(x1)))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   3'(z) -{ 1 }-> 1'(3'(0'(2'(1'(3'(2'(1'(4'(2'(2'(2'(3'(4'(4'(0'(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))))))))))))))))))
   3'(z) -{ 1 }-> 0'(3'(1'(2'(2'(2'(4'(0'(3'(0'(0'(3'(2'(4'(4'(2'(4'(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 }-> 0'(2'(4'(3'(3'(2'(4'(3'(3'(3'(1'(2'(2'(3'(4'(3'(4'(3'(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'(2'(4'(3'(1'(2'(3'(4'(1'(2'(0'(1'(1'(3'(3'(4'(1'(0'(1'(2'(x1)))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   3'(z) -{ 1 }-> 0'(2'(4'(1'(2'(0'(3'(0'(2'(3'(4'(1'(1'(4'(0'(3'(3'(2'(4'(2'(x1)))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   3'(z) -{ 1 }-> 0'(2'(3'(1'(3'(1'(0'(1'(2'(1'(1'(1'(1'(3'(3'(4'(4'(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))))))))))))))))))
   3'(z) -{ 1 }-> 0'(1'(2'(0'(4'(2'(3'(1'(4'(0'(1'(1'(0'(0'(1'(1'(0'(1'(1'(2'(x1)))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   3'(z) -{ 1 }-> 0'(1'(0'(1'(1'(1'(4'(4'(0'(1'(3'(2'(2'(4'(1'(4'(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))))))))))))))))))
   3'(z) -{ 1 }-> 0'(0'(1'(2'(2'(0'(4'(4'(4'(1'(0'(2'(4'(1'(4'(4'(0'(1'(1'(2'(x1)))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   3'(z) -{ 0 }-> 0 :|: v0 >= 0, z = v0
   3'(z) -{ 0 }-> 1 + x0 :|: z = x0, x0 >= 0
   4'(z) -{ 1 }-> 4'(4'(4'(4'(1'(0'(0'(3'(1'(4'(0'(4'(4'(0'(3'(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))))))))))))))))))
   4'(z) -{ 1 }-> 4'(4'(3'(4'(1'(0'(4'(4'(3'(0'(2'(1'(4'(2'(1'(1'(4'(4'(1'(2'(x1)))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   4'(z) -{ 1 }-> 4'(4'(1'(4'(4'(4'(1'(1'(4'(0'(2'(3'(2'(3'(1'(2'(2'(1'(2'(1'(x1)))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   4'(z) -{ 1 }-> 4'(2'(3'(4'(2'(4'(1'(1'(1'(2'(0'(1'(1'(4'(0'(0'(1'(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))))))))))))))))))
   4'(z) -{ 1 }-> 4'(0'(2'(3'(1'(1'(4'(3'(3'(1'(1'(4'(0'(2'(3'(2'(2'(0'(1'(2'(x1)))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   4'(z) -{ 1 }-> 3'(1'(0'(4'(2'(4'(4'(1'(2'(4'(3'(3'(2'(2'(1'(4'(3'(3'(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 }-> 2'(4'(3'(0'(3'(0'(1'(4'(2'(1'(4'(3'(2'(1'(3'(2'(3'(1'(2'(2'(x1)))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   4'(z) -{ 1 }-> 2'(4'(2'(1'(1'(4'(0'(2'(3'(0'(0'(4'(2'(4'(4'(0'(3'(3'(1'(2'(x1)))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   4'(z) -{ 1 }-> 2'(1'(1'(1'(4'(2'(2'(0'(0'(4'(1'(2'(2'(2'(0'(0'(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))))))))))))))))))
   4'(z) -{ 1 }-> 2'(0'(3'(3'(2'(4'(4'(2'(1'(1'(4'(1'(1'(0'(0'(2'(4'(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'(0'(1'(2'(0'(1'(1'(1'(1'(2'(0'(0'(1'(4'(3'(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))))))))))))))))))
   4'(z) -{ 1 }-> 0'(4'(0'(1'(3'(0'(2'(4'(3'(1'(2'(2'(3'(2'(0'(0'(4'(4'(1'(2'(x1)))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   4'(z) -{ 1 }-> 0'(3'(4'(3'(3'(2'(4'(1'(0'(0'(1'(0'(0'(2'(0'(3'(2'(0'(2'(2'(x1)))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   4'(z) -{ 1 }-> 0'(3'(3'(1'(4'(1'(1'(2'(1'(2'(1'(3'(1'(3'(1'(4'(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'(1'(3'(4'(0'(2'(0'(0'(3'(0'(0'(3'(1'(2'(4'(3'(1'(1'(3'(2'(x1)))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   4'(z) -{ 1 }-> 0'(0'(4'(1'(0'(1'(4'(2'(4'(1'(0'(0'(0'(1'(4'(1'(3'(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))))))))))))))))))
   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_1(c_1(c_1(c_2(c_4(c_4(c_0(c_3(c_4(c_4(c_0(c_2(c_0(c_4(c_1(c_1(c_2(c_1(z0)))))))))))))))))))) -> 3(1(4(3(2(4(3(3(4(0(0(2(0(3(1(0(1(0(1(2(z0))))))))))))))))))))
   0(c_4(c_0(c_2(c_0(c_1(c_2(c_1(c_4(c_3(c_1(c_4(c_3(c_3(c_1(c_0(c_3(c_3(c_1(c_2(z0)))))))))))))))))))) -> 2(1(0(2(2(4(0(1(4(2(3(4(0(1(2(0(2(4(4(2(z0))))))))))))))))))))
   0(c_1(c_3(c_3(c_3(c_3(c_0(c_1(c_1(c_2(c_0(c_0(c_4(c_4(c_4(c_3(c_1(c_0(c_0(c_2(z0)))))))))))))))))))) -> 2(0(2(4(0(2(3(4(2(0(1(0(0(3(4(3(4(0(3(2(z0))))))))))))))))))))
   0(c_1(c_3(c_1(c_1(c_2(c_3(c_2(c_4(c_3(c_4(c_1(c_1(c_2(c_3(c_1(c_0(c_4(c_2(c_2(z0)))))))))))))))))))) -> 2(2(0(1(1(3(2(0(1(0(2(2(0(4(1(4(2(2(4(2(z0))))))))))))))))))))
   0(c_3(c_4(c_0(c_2(c_0(c_1(c_2(c_3(c_1(c_0(c_4(c_4(c_3(c_1(c_4(c_1(c_3(c_0(c_2(z0)))))))))))))))))))) -> 4(0(4(4(3(3(0(0(3(4(3(4(0(1(4(1(1(4(3(2(z0))))))))))))))))))))
   0(c_4(c_3(c_2(c_4(c_4(c_3(c_4(c_1(c_3(c_3(c_2(c_3(c_1(c_0(c_1(c_2(c_1(c_2(c_2(z0)))))))))))))))))))) -> 1(1(4(0(4(1(1(0(0(1(2(4(0(3(2(4(2(0(3(2(z0))))))))))))))))))))
   0(c_1(c_3(c_2(c_3(c_1(c_0(c_0(c_0(c_3(c_3(c_2(c_3(c_3(c_2(c_1(c_0(c_2(c_1(c_2(z0)))))))))))))))))))) -> 0(0(3(4(0(2(2(4(0(4(2(1(3(4(1(3(2(0(2(1(z0))))))))))))))))))))
   0(c_4(c_4(c_0(c_4(c_3(c_0(c_2(c_1(c_2(c_3(c_2(c_2(c_0(c_2(c_0(c_0(c_2(c_2(c_1(z0)))))))))))))))))))) -> 0(2(1(4(0(2(2(2(1(1(4(2(4(0(3(1(2(0(1(2(z0))))))))))))))))))))
   0(c_3(c_4(c_3(c_2(c_0(c_1(c_1(c_0(c_2(c_3(c_3(c_2(c_1(c_3(c_1(c_1(c_2(c_3(c_2(z0)))))))))))))))))))) -> 1(2(2(4(2(4(1(3(1(3(3(0(3(3(0(0(4(3(2(2(z0))))))))))))))))))))
   0(c_2(c_2(c_3(c_4(c_2(c_3(c_2(c_3(c_0(c_1(c_3(c_1(c_3(c_2(c_2(c_2(c_1(c_1(c_2(z0)))))))))))))))))))) -> 4(0(3(2(4(0(1(1(0(2(0(3(0(1(2(3(0(1(2(2(z0))))))))))))))))))))
   0(c_1(c_2(c_0(c_4(c_0(c_2(c_0(c_3(c_0(c_2(c_2(c_3(c_2(c_0(c_4(c_3(c_0(c_1(c_2(z0)))))))))))))))))))) -> 1(3(0(2(1(0(0(2(2(0(4(1(2(2(2(3(2(4(2(1(z0))))))))))))))))))))
   0(c_4(c_2(c_0(c_0(c_4(c_2(c_3(c_2(c_3(c_4(c_3(c_4(c_4(c_3(c_3(c_2(c_0(c_2(c_2(z0)))))))))))))))))))) -> 4(0(4(4(2(2(1(1(4(3(4(2(0(2(3(1(2(0(1(2(z0))))))))))))))))))))
   0(c_2(c_1(c_1(c_3(c_3(c_4(c_4(c_0(c_4(c_3(c_3(c_3(c_0(c_0(c_4(c_1(c_2(c_1(c_1(z0)))))))))))))))))))) -> 2(2(1(4(4(2(4(3(0(2(3(4(3(0(0(2(2(2(0(2(z0))))))))))))))))))))
   0(c_3(c_1(c_0(c_1(c_1(c_2(c_3(c_3(c_1(c_4(c_3(c_3(c_3(c_2(c_1(c_4(c_0(c_2(c_2(z0)))))))))))))))))))) -> 0(4(4(1(1(4(2(1(0(1(4(2(2(0(0(1(0(1(2(1(z0))))))))))))))))))))
   0(c_0(c_0(c_0(c_1(c_0(c_1(c_2(c_2(c_3(c_3(c_4(c_1(c_2(c_3(c_2(c_3(c_3(c_2(c_2(z0)))))))))))))))))))) -> 0(3(1(0(2(1(0(4(2(4(0(0(1(1(4(2(3(1(0(2(z0))))))))))))))))))))
   0(c_2(c_0(c_1(c_2(c_1(c_1(c_0(c_2(c_2(c_0(c_0(c_3(c_4(c_4(c_3(c_1(c_2(c_2(c_1(z0)))))))))))))))))))) -> 3(0(2(2(0(1(4(2(3(3(0(3(0(2(0(2(4(2(0(2(z0))))))))))))))))))))
   0(c_2(c_0(c_2(c_2(c_1(c_3(c_2(c_2(c_0(c_2(c_0(c_0(c_2(c_1(c_0(c_4(c_3(c_3(c_2(z0)))))))))))))))))))) -> 0(3(3(0(0(4(2(3(0(0(3(1(2(4(2(4(0(0(4(2(z0))))))))))))))))))))
   0(c_2(c_0(c_0(c_0(c_4(c_0(c_3(c_1(c_2(c_2(c_4(c_4(c_3(c_3(c_2(c_2(c_2(c_3(c_2(z0)))))))))))))))))))) -> 3(1(2(2(4(0(2(3(1(3(4(0(4(1(3(2(3(1(2(1(z0))))))))))))))))))))
   0(c_1(c_1(c_1(c_0(c_4(c_1(c_0(c_1(c_2(c_1(c_0(c_1(c_4(c_1(c_1(c_2(c_4(c_4(c_2(z0)))))))))))))))))))) -> 4(4(1(2(4(0(4(1(0(1(4(2(2(2(3(1(1(4(0(2(z0))))))))))))))))))))
   0(c_3(c_3(c_4(c_1(c_4(c_2(c_3(c_2(c_3(c_0(c_4(c_2(c_3(c_3(c_2(c_2(c_2(c_2(c_1(z0)))))))))))))))))))) -> 0(4(2(4(4(3(0(0(0(3(3(2(4(4(4(0(0(2(3(2(z0))))))))))))))))))))
   0(c_1(c_2(c_2(c_0(c_3(c_1(c_1(c_3(c_2(c_1(c_1(c_1(c_1(c_3(c_4(c_2(c_3(c_0(c_2(z0)))))))))))))))))))) -> 4(2(4(3(3(2(3(2(4(1(0(2(3(1(4(2(1(4(3(2(z0))))))))))))))))))))
   1(z0) -> c_1(z0)
   1(c_1(c_3(c_4(c_0(c_1(c_4(c_2(c_0(c_3(c_4(c_4(c_0(c_0(c_3(c_0(c_1(c_2(c_3(c_2(z0)))))))))))))))))))) -> 3(0(4(1(1(4(0(4(1(2(1(4(2(0(4(4(3(3(2(2(z0))))))))))))))))))))
   1(c_0(c_3(c_0(c_0(c_0(c_2(c_3(c_3(c_0(c_4(c_4(c_4(c_0(c_3(c_1(c_1(c_1(c_2(c_1(z0)))))))))))))))))))) -> 0(3(2(2(4(3(3(1(0(0(3(3(1(0(3(3(4(4(2(2(z0))))))))))))))))))))
   1(c_2(c_0(c_4(c_1(c_4(c_3(c_0(c_0(c_0(c_3(c_2(c_4(c_4(c_1(c_3(c_0(c_2(c_3(c_2(z0)))))))))))))))))))) -> 1(3(2(2(0(3(2(0(0(2(4(0(1(4(2(0(2(0(1(2(z0))))))))))))))))))))
   1(c_0(c_2(c_1(c_3(c_2(c_3(c_1(c_3(c_3(c_4(c_1(c_3(c_2(c_2(c_0(c_1(c_2(c_3(c_2(z0)))))))))))))))))))) -> 3(3(4(0(4(0(1(0(4(0(1(1(4(4(1(3(3(2(0(2(z0))))))))))))))))))))
   1(c_1(c_2(c_3(c_0(c_3(c_4(c_2(c_1(c_2(c_4(c_0(c_3(c_2(c_3(c_4(c_4(c_4(c_3(c_2(z0)))))))))))))))))))) -> 3(4(2(1(1(1(4(4(0(0(0(3(0(4(1(4(3(2(4(2(z0))))))))))))))))))))
   1(c_0(c_3(c_4(c_4(c_4(c_4(c_4(c_1(c_3(c_0(c_1(c_2(c_0(c_2(c_0(c_1(c_1(c_3(c_2(z0)))))))))))))))))))) -> 0(1(3(2(1(3(4(1(4(2(4(0(2(4(2(3(0(0(2(1(z0))))))))))))))))))))
   1(c_2(c_3(c_4(c_2(c_4(c_2(c_3(c_2(c_0(c_2(c_1(c_0(c_2(c_2(c_0(c_4(c_2(c_0(c_2(z0)))))))))))))))))))) -> 1(1(1(4(0(4(4(0(0(0(2(1(3(4(0(2(4(0(0(2(z0))))))))))))))))))))
   1(c_3(c_3(c_1(c_0(c_0(c_1(c_1(c_3(c_2(c_3(c_0(c_0(c_0(c_1(c_1(c_1(c_1(c_0(c_2(z0)))))))))))))))))))) -> 1(3(0(4(1(1(4(3(4(2(4(4(3(3(3(2(0(2(2(1(z0))))))))))))))))))))
   1(c_0(c_4(c_1(c_4(c_1(c_2(c_2(c_0(c_0(c_0(c_4(c_0(c_1(c_1(c_2(c_3(c_3(c_3(c_2(z0)))))))))))))))))))) -> 2(2(2(2(4(0(2(3(1(0(2(2(1(4(0(4(1(1(1(2(z0))))))))))))))))))))
   1(c_2(c_2(c_1(c_0(c_3(c_2(c_4(c_4(c_1(c_4(c_0(c_0(c_0(c_3(c_1(c_3(c_3(c_2(c_1(z0)))))))))))))))))))) -> 1(4(0(0(3(1(2(0(0(3(0(1(4(4(3(2(4(2(1(1(z0))))))))))))))))))))
   1(c_4(c_1(c_3(c_1(c_1(c_0(c_0(c_0(c_0(c_4(c_3(c_0(c_0(c_2(c_0(c_2(c_1(c_1(c_1(z0)))))))))))))))))))) -> 2(1(4(2(0(0(3(3(4(3(0(2(4(1(0(2(4(4(2(1(z0))))))))))))))))))))
   1(c_2(c_4(c_4(c_4(c_3(c_1(c_0(c_0(c_2(c_0(c_0(c_4(c_0(c_4(c_4(c_3(c_1(c_0(c_2(z0)))))))))))))))))))) -> 1(2(4(3(0(1(1(0(0(2(0(1(1(3(2(1(4(1(0(2(z0))))))))))))))))))))
   1(c_3(c_0(c_1(c_3(c_2(c_0(c_4(c_0(c_2(c_0(c_4(c_2(c_0(c_4(c_0(c_2(c_4(c_0(c_2(z0)))))))))))))))))))) -> 4(3(0(3(2(2(1(3(4(0(1(0(1(2(0(1(1(4(4(2(z0))))))))))))))))))))
   1(c_1(c_0(c_3(c_4(c_3(c_2(c_3(c_2(c_3(c_4(c_3(c_2(c_1(c_4(c_4(c_2(c_3(c_0(c_2(z0)))))))))))))))))))) -> 0(3(0(3(4(0(0(1(0(2(1(2(4(0(3(0(3(0(2(2(z0))))))))))))))))))))
   1(c_4(c_0(c_2(c_3(c_0(c_0(c_4(c_4(c_1(c_0(c_0(c_1(c_0(c_2(c_2(c_1(c_1(c_3(c_2(z0)))))))))))))))))))) -> 4(2(4(1(4(0(3(0(4(3(0(3(3(1(3(0(2(1(2(1(z0))))))))))))))))))))
   2(z0) -> c_2(z0)
   2(c_4(c_4(c_0(c_2(c_4(c_2(c_2(c_3(c_1(c_0(c_2(c_0(c_0(c_1(c_1(c_4(c_2(c_2(c_1(z0)))))))))))))))))))) -> 0(2(4(1(4(4(0(2(4(1(1(4(1(3(3(0(3(2(1(2(z0))))))))))))))))))))
   2(c_0(c_4(c_4(c_0(c_3(c_3(c_2(c_4(c_0(c_1(c_4(c_2(c_4(c_4(c_4(c_2(c_2(c_2(c_2(z0)))))))))))))))))))) -> 0(2(2(0(1(0(4(3(0(2(4(2(2(4(3(3(1(3(1(2(z0))))))))))))))))))))
   2(c_3(c_2(c_0(c_0(c_1(c_0(c_3(c_3(c_1(c_4(c_1(c_3(c_0(c_0(c_3(c_2(c_3(c_4(c_2(z0)))))))))))))))))))) -> 1(2(4(4(0(1(1(4(4(4(2(2(4(4(3(2(0(3(4(2(z0))))))))))))))))))))
   2(c_3(c_4(c_2(c_2(c_3(c_3(c_4(c_3(c_2(c_0(c_2(c_1(c_0(c_2(c_1(c_4(c_1(c_3(c_2(z0)))))))))))))))))))) -> 1(4(0(4(1(3(1(1(1(1(3(0(1(0(4(1(4(2(1(1(z0))))))))))))))))))))
   2(c_1(c_2(c_3(c_3(c_2(c_2(c_1(c_2(c_3(c_3(c_2(c_0(c_4(c_3(c_4(c_1(c_0(c_1(c_2(z0)))))))))))))))))))) -> 3(4(1(4(0(2(0(1(2(0(4(4(1(0(2(4(1(1(1(2(z0))))))))))))))))))))
   2(c_1(c_0(c_1(c_0(c_4(c_2(c_1(c_1(c_1(c_3(c_0(c_4(c_2(c_2(c_0(c_2(c_3(c_2(c_2(z0)))))))))))))))))))) -> 3(2(0(3(1(3(1(2(1(2(1(1(1(3(1(1(4(1(3(2(z0))))))))))))))))))))
   2(c_2(c_2(c_1(c_4(c_3(c_0(c_3(c_2(c_4(c_0(c_4(c_0(c_4(c_1(c_0(c_4(c_2(c_2(c_1(z0)))))))))))))))))))) -> 1(1(4(2(4(4(2(1(2(0(3(2(1(4(3(1(3(2(4(2(z0))))))))))))))))))))
   2(c_4(c_2(c_0(c_3(c_2(c_2(c_4(c_4(c_3(c_0(c_1(c_0(c_3(c_2(c_3(c_2(c_2(c_4(c_2(z0)))))))))))))))))))) -> 3(0(4(0(2(4(1(0(3(2(3(0(0(2(4(2(4(1(0(2(z0))))))))))))))))))))
   2(c_0(c_1(c_2(c_0(c_1(c_3(c_2(c_2(c_0(c_4(c_3(c_2(c_2(c_4(c_3(c_0(c_1(c_2(c_1(z0)))))))))))))))))))) -> 0(2(2(4(1(4(4(3(1(1(2(4(3(1(2(0(1(2(1(2(z0))))))))))))))))))))
   2(c_1(c_0(c_3(c_1(c_4(c_4(c_0(c_4(c_3(c_0(c_4(c_3(c_3(c_4(c_1(c_2(c_3(c_4(c_2(z0)))))))))))))))))))) -> 1(4(1(4(4(2(2(0(2(3(1(0(1(3(0(0(2(0(2(1(z0))))))))))))))))))))
   2(c_1(c_3(c_4(c_1(c_3(c_3(c_4(c_2(c_0(c_0(c_1(c_0(c_1(c_2(c_0(c_1(c_0(c_4(c_2(z0)))))))))))))))))))) -> 2(1(1(2(1(1(0(1(4(0(1(3(2(1(2(4(0(1(2(2(z0))))))))))))))))))))
   2(c_0(c_1(c_2(c_0(c_1(c_0(c_1(c_0(c_4(c_3(c_1(c_4(c_4(c_4(c_0(c_2(c_3(c_3(c_2(z0)))))))))))))))))))) -> 4(1(0(0(1(3(2(0(2(4(1(0(4(0(2(0(3(0(2(2(z0))))))))))))))))))))
   2(c_4(c_0(c_4(c_3(c_1(c_2(c_1(c_2(c_2(c_3(c_0(c_1(c_0(c_1(c_3(c_1(c_3(c_3(c_2(z0)))))))))))))))))))) -> 0(2(4(4(1(4(1(4(2(2(2(4(3(3(3(1(1(0(1(2(z0))))))))))))))))))))
   2(c_0(c_1(c_1(c_0(c_0(c_4(c_2(c_3(c_1(c_0(c_2(c_3(c_0(c_3(c_4(c_0(c_3(c_3(c_2(z0)))))))))))))))))))) -> 3(4(1(3(2(0(3(0(4(1(2(4(0(4(4(1(3(2(0(2(z0))))))))))))))))))))
   2(c_2(c_1(c_0(c_1(c_1(c_2(c_0(c_2(c_2(c_0(c_2(c_2(c_1(c_3(c_0(c_4(c_4(c_1(c_2(z0)))))))))))))))))))) -> 1(2(1(2(4(0(2(1(2(0(3(1(1(2(2(4(4(3(1(2(z0))))))))))))))))))))
   2(c_1(c_2(c_3(c_4(c_4(c_0(c_2(c_3(c_2(c_0(c_3(c_2(c_4(c_4(c_4(c_2(c_4(c_2(c_2(z0)))))))))))))))))))) -> 1(1(3(3(1(3(3(2(2(1(4(1(2(2(4(1(2(2(3(2(z0))))))))))))))))))))
   2(c_0(c_4(c_3(c_4(c_0(c_2(c_1(c_3(c_2(c_0(c_3(c_2(c_0(c_1(c_0(c_4(c_4(c_2(c_2(z0)))))))))))))))))))) -> 4(0(3(2(4(0(1(1(2(4(0(4(4(0(4(2(3(2(2(2(z0))))))))))))))))))))
   2(c_0(c_4(c_4(c_2(c_1(c_3(c_3(c_3(c_2(c_0(c_0(c_2(c_3(c_3(c_1(c_4(c_2(c_3(c_2(z0)))))))))))))))))))) -> 0(0(2(1(2(1(2(0(2(4(1(4(1(3(0(1(2(0(3(2(z0))))))))))))))))))))
   2(c_4(c_0(c_3(c_4(c_1(c_1(c_4(c_0(c_2(c_2(c_2(c_3(c_4(c_4(c_3(c_3(c_3(c_0(c_2(z0)))))))))))))))))))) -> 0(1(0(0(1(1(4(3(3(0(4(2(4(1(1(3(2(2(2(2(z0))))))))))))))))))))
   2(c_0(c_0(c_1(c_2(c_3(c_2(c_3(c_0(c_1(c_2(c_4(c_2(c_2(c_1(c_0(c_0(c_3(c_2(c_1(z0)))))))))))))))))))) -> 2(4(0(1(1(2(3(0(0(4(3(0(1(0(4(2(4(3(4(2(z0))))))))))))))))))))
   2(c_0(c_2(c_1(c_3(c_3(c_4(c_0(c_1(c_1(c_2(c_0(c_3(c_1(c_3(c_0(c_1(c_2(c_1(c_2(z0)))))))))))))))))))) -> 2(2(2(0(1(1(4(3(2(0(2(3(3(3(1(1(2(2(4(2(z0))))))))))))))))))))
   2(c_2(c_1(c_2(c_3(c_3(c_2(c_0(c_3(c_0(c_2(c_0(c_4(c_2(c_4(c_1(c_2(c_3(c_0(c_2(z0)))))))))))))))))))) -> 0(4(1(0(2(2(1(0(3(3(4(2(1(4(1(2(1(4(1(2(z0))))))))))))))))))))
   2(c_1(c_2(c_0(c_3(c_1(c_4(c_2(c_3(c_0(c_1(c_1(c_4(c_4(c_2(c_0(c_4(c_3(c_2(c_1(z0)))))))))))))))))))) -> 1(2(3(4(0(1(4(3(1(1(1(4(1(4(0(0(2(1(4(2(z0))))))))))))))))))))
   3(z0) -> c_3(z0)
   3(c_0(c_2(c_3(c_3(c_2(c_0(c_2(c_0(c_1(c_2(c_4(c_3(c_3(c_1(c_4(c_4(c_0(c_2(c_1(z0)))))))))))))))))))) -> 2(0(2(1(1(1(3(3(0(4(2(4(3(0(1(1(1(4(1(2(z0))))))))))))))))))))
   3(c_2(c_1(c_1(c_1(c_4(c_2(c_4(c_0(c_3(c_1(c_3(c_0(c_2(c_3(c_0(c_4(c_0(c_3(c_2(z0)))))))))))))))))))) -> 3(0(3(0(4(3(2(2(1(1(4(4(4(3(0(2(4(2(2(2(z0))))))))))))))))))))
   3(c_3(c_0(c_2(c_0(c_0(c_1(c_3(c_0(c_2(c_2(c_2(c_4(c_0(c_3(c_1(c_1(c_0(c_0(c_2(z0)))))))))))))))))))) -> 4(0(2(1(3(2(4(0(1(4(1(1(0(2(0(0(2(2(4(2(z0))))))))))))))))))))
   3(c_1(c_0(c_2(c_3(c_2(c_2(c_4(c_3(c_0(c_2(c_0(c_4(c_2(c_1(c_0(c_2(c_1(c_1(c_1(z0)))))))))))))))))))) -> 1(4(0(1(0(4(1(1(3(4(3(2(4(4(3(2(1(1(2(2(z0))))))))))))))))))))
   3(c_3(c_0(c_4(c_4(c_2(c_4(c_0(c_4(c_0(c_4(c_2(c_0(c_2(c_2(c_2(c_4(c_0(c_3(c_2(z0)))))))))))))))))))) -> 0(1(0(1(1(1(4(4(0(1(3(2(2(4(1(4(3(4(2(2(z0))))))))))))))))))))
   3(c_2(c_3(c_3(c_3(c_4(c_1(c_2(c_1(c_2(c_1(c_2(c_1(c_3(c_1(c_1(c_0(c_1(c_4(c_2(z0)))))))))))))))))))) -> 3(0(1(0(0(4(4(4(4(2(4(4(4(3(0(0(2(1(4(2(z0))))))))))))))))))))
   3(c_2(c_1(c_0(c_4(c_1(c_2(c_2(c_0(c_3(c_4(c_3(c_2(c_3(c_4(c_1(c_4(c_0(c_1(c_2(z0)))))))))))))))))))) -> 0(2(4(3(3(2(4(3(3(3(1(2(2(3(4(3(4(3(4(2(z0))))))))))))))))))))
   3(c_2(c_4(c_3(c_2(c_2(c_0(c_2(c_3(c_4(c_0(c_1(c_0(c_4(c_3(c_0(c_3(c_0(c_4(c_2(z0)))))))))))))))))))) -> 0(1(2(0(4(2(3(1(4(0(1(1(0(0(1(1(0(1(1(2(z0))))))))))))))))))))
   3(c_1(c_1(c_2(c_4(c_3(c_1(c_2(c_3(c_0(c_1(c_1(c_1(c_2(c_2(c_3(c_1(c_1(c_3(c_2(z0)))))))))))))))))))) -> 4(0(0(1(3(0(1(1(2(4(2(4(3(4(1(4(0(0(0(2(z0))))))))))))))))))))
   3(c_1(c_1(c_1(c_3(c_3(c_0(c_1(c_3(c_4(c_4(c_2(c_2(c_3(c_1(c_3(c_3(c_4(c_1(c_2(z0)))))))))))))))))))) -> 1(4(1(1(2(1(1(3(4(1(4(2(0(0(2(2(3(2(2(2(z0))))))))))))))))))))
   3(c_0(c_4(c_3(c_2(c_3(c_3(c_2(c_3(c_0(c_1(c_0(c_1(c_0(c_1(c_3(c_1(c_4(c_2(c_1(z0)))))))))))))))))))) -> 4(1(3(2(1(4(1(0(1(3(3(1(4(4(0(4(2(1(1(2(z0))))))))))))))))))))
   3(c_4(c_2(c_2(c_4(c_4(c_0(c_3(c_1(c_4(c_1(c_0(c_4(c_0(c_1(c_0(c_2(c_1(c_0(c_2(z0)))))))))))))))))))) -> 0(2(4(1(2(0(3(0(2(3(4(1(1(4(0(3(3(2(4(2(z0))))))))))))))))))))
   3(c_3(c_3(c_4(c_1(c_1(c_4(c_2(c_3(c_0(c_3(c_4(c_4(c_1(c_2(c_3(c_4(c_1(c_4(c_2(z0)))))))))))))))))))) -> 0(2(4(3(1(2(3(4(1(2(0(1(1(3(3(4(1(0(1(2(z0))))))))))))))))))))
   3(c_4(c_0(c_2(c_2(c_1(c_1(c_0(c_3(c_3(c_1(c_3(c_2(c_2(c_2(c_1(c_1(c_2(c_0(c_2(z0)))))))))))))))))))) -> 3(0(2(3(4(2(0(2(1(4(0(3(3(2(4(1(2(4(1(2(z0))))))))))))))))))))
   3(c_4(c_4(c_2(c_1(c_1(c_4(c_3(c_4(c_3(c_0(c_3(c_3(c_3(c_2(c_2(c_0(c_3(c_1(c_2(z0)))))))))))))))))))) -> 2(4(0(3(2(3(1(4(3(2(2(2(0(1(0(2(3(2(3(2(z0))))))))))))))))))))
   3(c_2(c_0(c_3(c_4(c_3(c_1(c_1(c_3(c_2(c_0(c_3(c_0(c_0(c_0(c_1(c_4(c_2(c_4(c_1(z0)))))))))))))))))))) -> 3(3(2(0(2(4(3(0(0(3(3(0(1(2(4(1(0(0(2(1(z0))))))))))))))))))))
   3(c_3(c_3(c_1(c_3(c_4(c_3(c_0(c_3(c_1(c_3(c_2(c_2(c_4(c_0(c_3(c_4(c_2(c_0(c_2(z0)))))))))))))))))))) -> 4(0(4(1(0(2(4(3(4(2(3(2(3(3(3(0(1(0(4(2(z0))))))))))))))))))))
   3(c_0(c_3(c_0(c_0(c_0(c_2(c_0(c_1(c_2(c_2(c_4(c_0(c_1(c_2(c_0(c_3(c_2(c_2(c_2(z0)))))))))))))))))))) -> 4(4(2(4(4(2(4(1(4(4(2(0(3(2(1(4(4(2(4(2(z0))))))))))))))))))))
   3(c_2(c_0(c_1(c_4(c_3(c_0(c_2(c_0(c_2(c_2(c_3(c_0(c_1(c_4(c_2(c_1(c_1(c_1(c_2(z0)))))))))))))))))))) -> 0(3(1(2(2(2(4(0(3(0(0(3(2(4(4(2(4(3(2(1(z0))))))))))))))))))))
   3(c_1(c_1(c_2(c_0(c_3(c_2(c_0(c_4(c_0(c_0(c_4(c_3(c_4(c_3(c_1(c_1(c_2(c_1(c_1(z0)))))))))))))))))))) -> 4(2(0(1(2(4(3(4(4(3(3(3(1(1(3(0(4(3(4(2(z0))))))))))))))))))))
   3(c_3(c_3(c_2(c_1(c_1(c_3(c_3(c_4(c_2(c_4(c_3(c_2(c_2(c_0(c_3(c_0(c_4(c_2(c_2(z0)))))))))))))))))))) -> 1(3(4(2(4(4(4(3(2(4(4(0(3(3(4(0(4(2(2(1(z0))))))))))))))))))))
   3(c_0(c_1(c_2(c_3(c_0(c_1(c_2(c_2(c_2(c_0(c_2(c_3(c_3(c_3(c_4(c_3(c_3(c_2(c_1(z0)))))))))))))))))))) -> 0(2(3(1(3(1(0(1(2(1(1(1(1(3(3(4(4(0(3(2(z0))))))))))))))))))))
   3(c_2(c_3(c_1(c_0(c_1(c_4(c_2(c_4(c_3(c_1(c_0(c_4(c_1(c_4(c_3(c_3(c_1(c_0(c_2(z0)))))))))))))))))))) -> 0(0(1(2(2(0(4(4(4(1(0(2(4(1(4(4(0(1(1(2(z0))))))))))))))))))))
   3(c_1(c_3(c_2(c_2(c_4(c_1(c_0(c_3(c_1(c_3(c_0(c_2(c_0(c_0(c_0(c_3(c_3(c_2(c_1(z0)))))))))))))))))))) -> 1(3(0(2(1(3(2(1(4(2(2(2(3(4(4(0(2(4(3(2(z0))))))))))))))))))))
   4(z0) -> c_4(z0)
   4(c_2(c_3(c_0(c_3(c_4(c_1(c_1(c_1(c_1(c_0(c_4(c_1(c_1(c_1(c_3(c_4(c_4(c_2(c_2(z0)))))))))))))))))))) -> 2(0(3(3(2(4(4(2(1(1(4(1(1(0(0(2(4(0(0(2(z0))))))))))))))))))))
   4(c_1(c_1(c_3(c_2(c_3(c_0(c_3(c_3(c_3(c_4(c_2(c_4(c_4(c_4(c_1(c_0(c_2(c_0(c_2(z0)))))))))))))))))))) -> 4(4(4(4(1(0(0(3(1(4(0(4(4(0(3(0(1(3(2(2(z0))))))))))))))))))))
   4(c_2(c_1(c_1(c_0(c_1(c_0(c_0(c_2(c_0(c_3(c_2(c_1(c_0(c_0(c_3(c_0(c_1(c_2(c_2(z0)))))))))))))))))))) -> 0(0(4(1(0(1(4(2(4(1(0(0(0(1(4(1(3(3(2(1(z0))))))))))))))))))))
   4(c_3(c_0(c_3(c_2(c_3(c_0(c_4(c_3(c_1(c_3(c_4(c_2(c_0(c_3(c_4(c_3(c_2(c_2(c_1(z0)))))))))))))))))))) -> 0(3(4(3(3(2(4(1(0(0(1(0(0(2(0(3(2(0(2(2(z0))))))))))))))))))))
   4(c_0(c_1(c_3(c_3(c_2(c_4(c_3(c_3(c_2(c_0(c_0(c_1(c_2(c_3(c_4(c_2(c_3(c_3(c_2(z0)))))))))))))))))))) -> 2(4(3(0(3(0(1(4(2(1(4(3(2(1(3(2(3(1(2(2(z0))))))))))))))))))))
   4(c_4(c_3(c_1(c_1(c_3(c_4(c_3(c_2(c_3(c_1(c_1(c_0(c_0(c_0(c_0(c_0(c_0(c_2(c_1(z0)))))))))))))))))))) -> 0(4(0(1(3(0(2(4(3(1(2(2(3(2(0(0(4(4(1(2(z0))))))))))))))))))))
   4(c_4(c_3(c_3(c_4(c_0(c_1(c_0(c_1(c_4(c_0(c_0(c_2(c_3(c_3(c_4(c_0(c_0(c_2(c_1(z0)))))))))))))))))))) -> 1(0(1(2(0(1(1(1(1(2(0(0(1(4(3(2(2(4(3(2(z0))))))))))))))))))))
   4(c_3(c_3(c_0(c_2(c_4(c_1(c_2(c_2(c_3(c_0(c_0(c_2(c_0(c_0(c_1(c_0(c_3(c_1(c_2(z0)))))))))))))))))))) -> 4(0(2(3(1(1(4(3(3(1(1(4(0(2(3(2(2(0(1(2(z0))))))))))))))))))))
   4(c_3(c_4(c_0(c_2(c_4(c_3(c_2(c_3(c_3(c_1(c_3(c_3(c_4(c_2(c_4(c_0(c_4(c_1(c_2(z0)))))))))))))))))))) -> 4(4(3(4(1(0(4(4(3(0(2(1(4(2(1(1(4(4(1(2(z0))))))))))))))))))))
   4(c_4(c_2(c_4(c_0(c_0(c_2(c_3(c_4(c_3(c_3(c_1(c_4(c_2(c_2(c_3(c_1(c_0(c_2(c_1(z0)))))))))))))))))))) -> 4(4(1(4(4(4(1(1(4(0(2(3(2(3(1(2(2(1(2(1(z0))))))))))))))))))))
   4(c_1(c_3(c_4(c_3(c_2(c_2(c_1(c_1(c_2(c_3(c_0(c_4(c_1(c_1(c_3(c_4(c_3(c_4(c_2(z0)))))))))))))))))))) -> 2(4(2(1(1(4(0(2(3(0(0(4(2(4(4(0(3(3(1(2(z0))))))))))))))))))))
   4(c_1(c_0(c_2(c_0(c_0(c_0(c_2(c_3(c_4(c_0(c_4(c_2(c_0(c_2(c_0(c_3(c_4(c_3(c_2(z0)))))))))))))))))))) -> 2(1(1(1(4(2(2(0(0(4(1(2(2(2(0(0(2(4(0(2(z0))))))))))))))))))))
   4(c_1(c_1(c_4(c_4(c_0(c_1(c_2(c_1(c_0(c_0(c_4(c_4(c_2(c_3(c_3(c_3(c_1(c_3(c_2(z0)))))))))))))))))))) -> 3(1(0(4(2(4(4(1(2(4(3(3(2(2(1(4(3(3(4(2(z0))))))))))))))))))))
   4(c_3(c_1(c_0(c_2(c_1(c_0(c_4(c_4(c_0(c_3(c_1(c_0(c_0(c_3(c_0(c_4(c_3(c_1(c_2(z0)))))))))))))))))))) -> 0(1(3(4(0(2(0(0(3(0(0(3(1(2(4(3(1(1(3(2(z0))))))))))))))))))))
   4(c_0(c_1(c_4(c_1(c_2(c_1(c_3(c_4(c_2(c_4(c_3(c_3(c_2(c_1(c_1(c_4(c_4(c_2(c_2(z0)))))))))))))))))))) -> 4(2(3(4(2(4(1(1(1(2(0(1(1(4(0(0(1(3(2(1(z0))))))))))))))))))))
   4(c_3(c_1(c_1(c_2(c_2(c_1(c_3(c_1(c_0(c_0(c_1(c_1(c_0(c_4(c_2(c_3(c_3(c_0(c_2(z0)))))))))))))))))))) -> 0(3(3(1(4(1(1(2(1(2(1(3(1(3(1(4(2(2(4(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_1(c_1(c_1(c_2(c_4(c_4(c_0(c_3(c_4(c_4(c_0(c_2(c_0(c_4(c_1(c_1(c_2(c_1(z0)))))))))))))))))))) -> c11(3'(1(4(3(2(4(3(3(4(0(0(2(0(3(1(0(1(0(1(2(z0)))))))))))))))))))), 1'(4(3(2(4(3(3(4(0(0(2(0(3(1(0(1(0(1(2(z0))))))))))))))))))), 4'(3(2(4(3(3(4(0(0(2(0(3(1(0(1(0(1(2(z0)))))))))))))))))), 3'(2(4(3(3(4(0(0(2(0(3(1(0(1(0(1(2(z0))))))))))))))))), 2'(4(3(3(4(0(0(2(0(3(1(0(1(0(1(2(z0)))))))))))))))), 4'(3(3(4(0(0(2(0(3(1(0(1(0(1(2(z0))))))))))))))), 3'(3(4(0(0(2(0(3(1(0(1(0(1(2(z0)))))))))))))), 3'(4(0(0(2(0(3(1(0(1(0(1(2(z0))))))))))))), 4'(0(0(2(0(3(1(0(1(0(1(2(z0)))))))))))), 0'(0(2(0(3(1(0(1(0(1(2(z0))))))))))), 0'(2(0(3(1(0(1(0(1(2(z0)))))))))), 2'(0(3(1(0(1(0(1(2(z0))))))))), 0'(3(1(0(1(0(1(2(z0)))))))), 3'(1(0(1(0(1(2(z0))))))), 1'(0(1(0(1(2(z0)))))), 0'(1(0(1(2(z0))))), 1'(0(1(2(z0)))), 0'(1(2(z0))), 1'(2(z0)), 2'(z0))
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   0'(c_1(c_3(c_1(c_1(c_2(c_3(c_2(c_4(c_3(c_4(c_1(c_1(c_2(c_3(c_1(c_0(c_4(c_2(c_2(z0)))))))))))))))))))) -> c14(2'(2(0(1(1(3(2(0(1(0(2(2(0(4(1(4(2(2(4(2(z0)))))))))))))))))))), 2'(0(1(1(3(2(0(1(0(2(2(0(4(1(4(2(2(4(2(z0))))))))))))))))))), 0'(1(1(3(2(0(1(0(2(2(0(4(1(4(2(2(4(2(z0)))))))))))))))))), 1'(1(3(2(0(1(0(2(2(0(4(1(4(2(2(4(2(z0))))))))))))))))), 1'(3(2(0(1(0(2(2(0(4(1(4(2(2(4(2(z0)))))))))))))))), 3'(2(0(1(0(2(2(0(4(1(4(2(2(4(2(z0))))))))))))))), 2'(0(1(0(2(2(0(4(1(4(2(2(4(2(z0)))))))))))))), 0'(1(0(2(2(0(4(1(4(2(2(4(2(z0))))))))))))), 1'(0(2(2(0(4(1(4(2(2(4(2(z0)))))))))))), 0'(2(2(0(4(1(4(2(2(4(2(z0))))))))))), 2'(2(0(4(1(4(2(2(4(2(z0)))))))))), 2'(0(4(1(4(2(2(4(2(z0))))))))), 0'(4(1(4(2(2(4(2(z0)))))))), 4'(1(4(2(2(4(2(z0))))))), 1'(4(2(2(4(2(z0)))))), 4'(2(2(4(2(z0))))), 2'(2(4(2(z0)))), 2'(4(2(z0))), 4'(2(z0)), 2'(z0))
   0'(c_3(c_4(c_0(c_2(c_0(c_1(c_2(c_3(c_1(c_0(c_4(c_4(c_3(c_1(c_4(c_1(c_3(c_0(c_2(z0)))))))))))))))))))) -> c15(4'(0(4(4(3(3(0(0(3(4(3(4(0(1(4(1(1(4(3(2(z0)))))))))))))))))))), 0'(4(4(3(3(0(0(3(4(3(4(0(1(4(1(1(4(3(2(z0))))))))))))))))))), 4'(4(3(3(0(0(3(4(3(4(0(1(4(1(1(4(3(2(z0)))))))))))))))))), 4'(3(3(0(0(3(4(3(4(0(1(4(1(1(4(3(2(z0))))))))))))))))), 3'(3(0(0(3(4(3(4(0(1(4(1(1(4(3(2(z0)))))))))))))))), 3'(0(0(3(4(3(4(0(1(4(1(1(4(3(2(z0))))))))))))))), 0'(0(3(4(3(4(0(1(4(1(1(4(3(2(z0)))))))))))))), 0'(3(4(3(4(0(1(4(1(1(4(3(2(z0))))))))))))), 3'(4(3(4(0(1(4(1(1(4(3(2(z0)))))))))))), 4'(3(4(0(1(4(1(1(4(3(2(z0))))))))))), 3'(4(0(1(4(1(1(4(3(2(z0)))))))))), 4'(0(1(4(1(1(4(3(2(z0))))))))), 0'(1(4(1(1(4(3(2(z0)))))))), 1'(4(1(1(4(3(2(z0))))))), 4'(1(1(4(3(2(z0)))))), 1'(1(4(3(2(z0))))), 1'(4(3(2(z0)))), 4'(3(2(z0))), 3'(2(z0)), 2'(z0))
   0'(c_4(c_3(c_2(c_4(c_4(c_3(c_4(c_1(c_3(c_3(c_2(c_3(c_1(c_0(c_1(c_2(c_1(c_2(c_2(z0)))))))))))))))))))) -> c16(1'(1(4(0(4(1(1(0(0(1(2(4(0(3(2(4(2(0(3(2(z0)))))))))))))))))))), 1'(4(0(4(1(1(0(0(1(2(4(0(3(2(4(2(0(3(2(z0))))))))))))))))))), 4'(0(4(1(1(0(0(1(2(4(0(3(2(4(2(0(3(2(z0)))))))))))))))))), 0'(4(1(1(0(0(1(2(4(0(3(2(4(2(0(3(2(z0))))))))))))))))), 4'(1(1(0(0(1(2(4(0(3(2(4(2(0(3(2(z0)))))))))))))))), 1'(1(0(0(1(2(4(0(3(2(4(2(0(3(2(z0))))))))))))))), 1'(0(0(1(2(4(0(3(2(4(2(0(3(2(z0)))))))))))))), 0'(0(1(2(4(0(3(2(4(2(0(3(2(z0))))))))))))), 0'(1(2(4(0(3(2(4(2(0(3(2(z0)))))))))))), 1'(2(4(0(3(2(4(2(0(3(2(z0))))))))))), 2'(4(0(3(2(4(2(0(3(2(z0)))))))))), 4'(0(3(2(4(2(0(3(2(z0))))))))), 0'(3(2(4(2(0(3(2(z0)))))))), 3'(2(4(2(0(3(2(z0))))))), 2'(4(2(0(3(2(z0)))))), 4'(2(0(3(2(z0))))), 2'(0(3(2(z0)))), 0'(3(2(z0))), 3'(2(z0)), 2'(z0))
   0'(c_1(c_3(c_2(c_3(c_1(c_0(c_0(c_0(c_3(c_3(c_2(c_3(c_3(c_2(c_1(c_0(c_2(c_1(c_2(z0)))))))))))))))))))) -> c17(0'(0(3(4(0(2(2(4(0(4(2(1(3(4(1(3(2(0(2(1(z0)))))))))))))))))))), 0'(3(4(0(2(2(4(0(4(2(1(3(4(1(3(2(0(2(1(z0))))))))))))))))))), 3'(4(0(2(2(4(0(4(2(1(3(4(1(3(2(0(2(1(z0)))))))))))))))))), 4'(0(2(2(4(0(4(2(1(3(4(1(3(2(0(2(1(z0))))))))))))))))), 0'(2(2(4(0(4(2(1(3(4(1(3(2(0(2(1(z0)))))))))))))))), 2'(2(4(0(4(2(1(3(4(1(3(2(0(2(1(z0))))))))))))))), 2'(4(0(4(2(1(3(4(1(3(2(0(2(1(z0)))))))))))))), 4'(0(4(2(1(3(4(1(3(2(0(2(1(z0))))))))))))), 0'(4(2(1(3(4(1(3(2(0(2(1(z0)))))))))))), 4'(2(1(3(4(1(3(2(0(2(1(z0))))))))))), 2'(1(3(4(1(3(2(0(2(1(z0)))))))))), 1'(3(4(1(3(2(0(2(1(z0))))))))), 3'(4(1(3(2(0(2(1(z0)))))))), 4'(1(3(2(0(2(1(z0))))))), 1'(3(2(0(2(1(z0)))))), 3'(2(0(2(1(z0))))), 2'(0(2(1(z0)))), 0'(2(1(z0))), 2'(1(z0)), 1'(z0))
   0'(c_4(c_4(c_0(c_4(c_3(c_0(c_2(c_1(c_2(c_3(c_2(c_2(c_0(c_2(c_0(c_0(c_2(c_2(c_1(z0)))))))))))))))))))) -> c18(0'(2(1(4(0(2(2(2(1(1(4(2(4(0(3(1(2(0(1(2(z0)))))))))))))))))))), 2'(1(4(0(2(2(2(1(1(4(2(4(0(3(1(2(0(1(2(z0))))))))))))))))))), 1'(4(0(2(2(2(1(1(4(2(4(0(3(1(2(0(1(2(z0)))))))))))))))))), 4'(0(2(2(2(1(1(4(2(4(0(3(1(2(0(1(2(z0))))))))))))))))), 0'(2(2(2(1(1(4(2(4(0(3(1(2(0(1(2(z0)))))))))))))))), 2'(2(2(1(1(4(2(4(0(3(1(2(0(1(2(z0))))))))))))))), 2'(2(1(1(4(2(4(0(3(1(2(0(1(2(z0)))))))))))))), 2'(1(1(4(2(4(0(3(1(2(0(1(2(z0))))))))))))), 1'(1(4(2(4(0(3(1(2(0(1(2(z0)))))))))))), 1'(4(2(4(0(3(1(2(0(1(2(z0))))))))))), 4'(2(4(0(3(1(2(0(1(2(z0)))))))))), 2'(4(0(3(1(2(0(1(2(z0))))))))), 4'(0(3(1(2(0(1(2(z0)))))))), 0'(3(1(2(0(1(2(z0))))))), 3'(1(2(0(1(2(z0)))))), 1'(2(0(1(2(z0))))), 2'(0(1(2(z0)))), 0'(1(2(z0))), 1'(2(z0)), 2'(z0))
   0'(c_3(c_4(c_3(c_2(c_0(c_1(c_1(c_0(c_2(c_3(c_3(c_2(c_1(c_3(c_1(c_1(c_2(c_3(c_2(z0)))))))))))))))))))) -> c19(1'(2(2(4(2(4(1(3(1(3(3(0(3(3(0(0(4(3(2(2(z0)))))))))))))))))))), 2'(2(4(2(4(1(3(1(3(3(0(3(3(0(0(4(3(2(2(z0))))))))))))))))))), 2'(4(2(4(1(3(1(3(3(0(3(3(0(0(4(3(2(2(z0)))))))))))))))))), 4'(2(4(1(3(1(3(3(0(3(3(0(0(4(3(2(2(z0))))))))))))))))), 2'(4(1(3(1(3(3(0(3(3(0(0(4(3(2(2(z0)))))))))))))))), 4'(1(3(1(3(3(0(3(3(0(0(4(3(2(2(z0))))))))))))))), 1'(3(1(3(3(0(3(3(0(0(4(3(2(2(z0)))))))))))))), 3'(1(3(3(0(3(3(0(0(4(3(2(2(z0))))))))))))), 1'(3(3(0(3(3(0(0(4(3(2(2(z0)))))))))))), 3'(3(0(3(3(0(0(4(3(2(2(z0))))))))))), 3'(0(3(3(0(0(4(3(2(2(z0)))))))))), 0'(3(3(0(0(4(3(2(2(z0))))))))), 3'(3(0(0(4(3(2(2(z0)))))))), 3'(0(0(4(3(2(2(z0))))))), 0'(0(4(3(2(2(z0)))))), 0'(4(3(2(2(z0))))), 4'(3(2(2(z0)))), 3'(2(2(z0))), 2'(2(z0)), 2'(z0))
   0'(c_2(c_2(c_3(c_4(c_2(c_3(c_2(c_3(c_0(c_1(c_3(c_1(c_3(c_2(c_2(c_2(c_1(c_1(c_2(z0)))))))))))))))))))) -> c20(4'(0(3(2(4(0(1(1(0(2(0(3(0(1(2(3(0(1(2(2(z0)))))))))))))))))))), 0'(3(2(4(0(1(1(0(2(0(3(0(1(2(3(0(1(2(2(z0))))))))))))))))))), 3'(2(4(0(1(1(0(2(0(3(0(1(2(3(0(1(2(2(z0)))))))))))))))))), 2'(4(0(1(1(0(2(0(3(0(1(2(3(0(1(2(2(z0))))))))))))))))), 4'(0(1(1(0(2(0(3(0(1(2(3(0(1(2(2(z0)))))))))))))))), 0'(1(1(0(2(0(3(0(1(2(3(0(1(2(2(z0))))))))))))))), 1'(1(0(2(0(3(0(1(2(3(0(1(2(2(z0)))))))))))))), 1'(0(2(0(3(0(1(2(3(0(1(2(2(z0))))))))))))), 0'(2(0(3(0(1(2(3(0(1(2(2(z0)))))))))))), 2'(0(3(0(1(2(3(0(1(2(2(z0))))))))))), 0'(3(0(1(2(3(0(1(2(2(z0)))))))))), 3'(0(1(2(3(0(1(2(2(z0))))))))), 0'(1(2(3(0(1(2(2(z0)))))))), 1'(2(3(0(1(2(2(z0))))))), 2'(3(0(1(2(2(z0)))))), 3'(0(1(2(2(z0))))), 0'(1(2(2(z0)))), 1'(2(2(z0))), 2'(2(z0)), 2'(z0))
   0'(c_1(c_2(c_0(c_4(c_0(c_2(c_0(c_3(c_0(c_2(c_2(c_3(c_2(c_0(c_4(c_3(c_0(c_1(c_2(z0)))))))))))))))))))) -> c21(1'(3(0(2(1(0(0(2(2(0(4(1(2(2(2(3(2(4(2(1(z0)))))))))))))))))))), 3'(0(2(1(0(0(2(2(0(4(1(2(2(2(3(2(4(2(1(z0))))))))))))))))))), 0'(2(1(0(0(2(2(0(4(1(2(2(2(3(2(4(2(1(z0)))))))))))))))))), 2'(1(0(0(2(2(0(4(1(2(2(2(3(2(4(2(1(z0))))))))))))))))), 1'(0(0(2(2(0(4(1(2(2(2(3(2(4(2(1(z0)))))))))))))))), 0'(0(2(2(0(4(1(2(2(2(3(2(4(2(1(z0))))))))))))))), 0'(2(2(0(4(1(2(2(2(3(2(4(2(1(z0)))))))))))))), 2'(2(0(4(1(2(2(2(3(2(4(2(1(z0))))))))))))), 2'(0(4(1(2(2(2(3(2(4(2(1(z0)))))))))))), 0'(4(1(2(2(2(3(2(4(2(1(z0))))))))))), 4'(1(2(2(2(3(2(4(2(1(z0)))))))))), 1'(2(2(2(3(2(4(2(1(z0))))))))), 2'(2(2(3(2(4(2(1(z0)))))))), 2'(2(3(2(4(2(1(z0))))))), 2'(3(2(4(2(1(z0)))))), 3'(2(4(2(1(z0))))), 2'(4(2(1(z0)))), 4'(2(1(z0))), 2'(1(z0)), 1'(z0))
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   0'(c_2(c_0(c_1(c_2(c_1(c_1(c_0(c_2(c_2(c_0(c_0(c_3(c_4(c_4(c_3(c_1(c_2(c_2(c_1(z0)))))))))))))))))))) -> c26(3'(0(2(2(0(1(4(2(3(3(0(3(0(2(0(2(4(2(0(2(z0)))))))))))))))))))), 0'(2(2(0(1(4(2(3(3(0(3(0(2(0(2(4(2(0(2(z0))))))))))))))))))), 2'(2(0(1(4(2(3(3(0(3(0(2(0(2(4(2(0(2(z0)))))))))))))))))), 2'(0(1(4(2(3(3(0(3(0(2(0(2(4(2(0(2(z0))))))))))))))))), 0'(1(4(2(3(3(0(3(0(2(0(2(4(2(0(2(z0)))))))))))))))), 1'(4(2(3(3(0(3(0(2(0(2(4(2(0(2(z0))))))))))))))), 4'(2(3(3(0(3(0(2(0(2(4(2(0(2(z0)))))))))))))), 2'(3(3(0(3(0(2(0(2(4(2(0(2(z0))))))))))))), 3'(3(0(3(0(2(0(2(4(2(0(2(z0)))))))))))), 3'(0(3(0(2(0(2(4(2(0(2(z0))))))))))), 0'(3(0(2(0(2(4(2(0(2(z0)))))))))), 3'(0(2(0(2(4(2(0(2(z0))))))))), 0'(2(0(2(4(2(0(2(z0)))))))), 2'(0(2(4(2(0(2(z0))))))), 0'(2(4(2(0(2(z0)))))), 2'(4(2(0(2(z0))))), 4'(2(0(2(z0)))), 2'(0(2(z0))), 0'(2(z0)), 2'(z0))
   0'(c_2(c_0(c_2(c_2(c_1(c_3(c_2(c_2(c_0(c_2(c_0(c_0(c_2(c_1(c_0(c_4(c_3(c_3(c_2(z0)))))))))))))))))))) -> c27(0'(3(3(0(0(4(2(3(0(0(3(1(2(4(2(4(0(0(4(2(z0)))))))))))))))))))), 3'(3(0(0(4(2(3(0(0(3(1(2(4(2(4(0(0(4(2(z0))))))))))))))))))), 3'(0(0(4(2(3(0(0(3(1(2(4(2(4(0(0(4(2(z0)))))))))))))))))), 0'(0(4(2(3(0(0(3(1(2(4(2(4(0(0(4(2(z0))))))))))))))))), 0'(4(2(3(0(0(3(1(2(4(2(4(0(0(4(2(z0)))))))))))))))), 4'(2(3(0(0(3(1(2(4(2(4(0(0(4(2(z0))))))))))))))), 2'(3(0(0(3(1(2(4(2(4(0(0(4(2(z0)))))))))))))), 3'(0(0(3(1(2(4(2(4(0(0(4(2(z0))))))))))))), 0'(0(3(1(2(4(2(4(0(0(4(2(z0)))))))))))), 0'(3(1(2(4(2(4(0(0(4(2(z0))))))))))), 3'(1(2(4(2(4(0(0(4(2(z0)))))))))), 1'(2(4(2(4(0(0(4(2(z0))))))))), 2'(4(2(4(0(0(4(2(z0)))))))), 4'(2(4(0(0(4(2(z0))))))), 2'(4(0(0(4(2(z0)))))), 4'(0(0(4(2(z0))))), 0'(0(4(2(z0)))), 0'(4(2(z0))), 4'(2(z0)), 2'(z0))
   0'(c_2(c_0(c_0(c_0(c_4(c_0(c_3(c_1(c_2(c_2(c_4(c_4(c_3(c_3(c_2(c_2(c_2(c_3(c_2(z0)))))))))))))))))))) -> c28(3'(1(2(2(4(0(2(3(1(3(4(0(4(1(3(2(3(1(2(1(z0)))))))))))))))))))), 1'(2(2(4(0(2(3(1(3(4(0(4(1(3(2(3(1(2(1(z0))))))))))))))))))), 2'(2(4(0(2(3(1(3(4(0(4(1(3(2(3(1(2(1(z0)))))))))))))))))), 2'(4(0(2(3(1(3(4(0(4(1(3(2(3(1(2(1(z0))))))))))))))))), 4'(0(2(3(1(3(4(0(4(1(3(2(3(1(2(1(z0)))))))))))))))), 0'(2(3(1(3(4(0(4(1(3(2(3(1(2(1(z0))))))))))))))), 2'(3(1(3(4(0(4(1(3(2(3(1(2(1(z0)))))))))))))), 3'(1(3(4(0(4(1(3(2(3(1(2(1(z0))))))))))))), 1'(3(4(0(4(1(3(2(3(1(2(1(z0)))))))))))), 3'(4(0(4(1(3(2(3(1(2(1(z0))))))))))), 4'(0(4(1(3(2(3(1(2(1(z0)))))))))), 0'(4(1(3(2(3(1(2(1(z0))))))))), 4'(1(3(2(3(1(2(1(z0)))))))), 1'(3(2(3(1(2(1(z0))))))), 3'(2(3(1(2(1(z0)))))), 2'(3(1(2(1(z0))))), 3'(1(2(1(z0)))), 1'(2(1(z0))), 2'(1(z0)), 1'(z0))
   0'(c_1(c_1(c_1(c_0(c_4(c_1(c_0(c_1(c_2(c_1(c_0(c_1(c_4(c_1(c_1(c_2(c_4(c_4(c_2(z0)))))))))))))))))))) -> c29(4'(4(1(2(4(0(4(1(0(1(4(2(2(2(3(1(1(4(0(2(z0)))))))))))))))))))), 4'(1(2(4(0(4(1(0(1(4(2(2(2(3(1(1(4(0(2(z0))))))))))))))))))), 1'(2(4(0(4(1(0(1(4(2(2(2(3(1(1(4(0(2(z0)))))))))))))))))), 2'(4(0(4(1(0(1(4(2(2(2(3(1(1(4(0(2(z0))))))))))))))))), 4'(0(4(1(0(1(4(2(2(2(3(1(1(4(0(2(z0)))))))))))))))), 0'(4(1(0(1(4(2(2(2(3(1(1(4(0(2(z0))))))))))))))), 4'(1(0(1(4(2(2(2(3(1(1(4(0(2(z0)))))))))))))), 1'(0(1(4(2(2(2(3(1(1(4(0(2(z0))))))))))))), 0'(1(4(2(2(2(3(1(1(4(0(2(z0)))))))))))), 1'(4(2(2(2(3(1(1(4(0(2(z0))))))))))), 4'(2(2(2(3(1(1(4(0(2(z0)))))))))), 2'(2(2(3(1(1(4(0(2(z0))))))))), 2'(2(3(1(1(4(0(2(z0)))))))), 2'(3(1(1(4(0(2(z0))))))), 3'(1(1(4(0(2(z0)))))), 1'(1(4(0(2(z0))))), 1'(4(0(2(z0)))), 4'(0(2(z0))), 0'(2(z0)), 2'(z0))
   0'(c_3(c_3(c_4(c_1(c_4(c_2(c_3(c_2(c_3(c_0(c_4(c_2(c_3(c_3(c_2(c_2(c_2(c_2(c_1(z0)))))))))))))))))))) -> c30(0'(4(2(4(4(3(0(0(0(3(3(2(4(4(4(0(0(2(3(2(z0)))))))))))))))))))), 4'(2(4(4(3(0(0(0(3(3(2(4(4(4(0(0(2(3(2(z0))))))))))))))))))), 2'(4(4(3(0(0(0(3(3(2(4(4(4(0(0(2(3(2(z0)))))))))))))))))), 4'(4(3(0(0(0(3(3(2(4(4(4(0(0(2(3(2(z0))))))))))))))))), 4'(3(0(0(0(3(3(2(4(4(4(0(0(2(3(2(z0)))))))))))))))), 3'(0(0(0(3(3(2(4(4(4(0(0(2(3(2(z0))))))))))))))), 0'(0(0(3(3(2(4(4(4(0(0(2(3(2(z0)))))))))))))), 0'(0(3(3(2(4(4(4(0(0(2(3(2(z0))))))))))))), 0'(3(3(2(4(4(4(0(0(2(3(2(z0)))))))))))), 3'(3(2(4(4(4(0(0(2(3(2(z0))))))))))), 3'(2(4(4(4(0(0(2(3(2(z0)))))))))), 2'(4(4(4(0(0(2(3(2(z0))))))))), 4'(4(4(0(0(2(3(2(z0)))))))), 4'(4(0(0(2(3(2(z0))))))), 4'(0(0(2(3(2(z0)))))), 0'(0(2(3(2(z0))))), 0'(2(3(2(z0)))), 2'(3(2(z0))), 3'(2(z0)), 2'(z0))
   0'(c_1(c_2(c_2(c_0(c_3(c_1(c_1(c_3(c_2(c_1(c_1(c_1(c_1(c_3(c_4(c_2(c_3(c_0(c_2(z0)))))))))))))))))))) -> c31(4'(2(4(3(3(2(3(2(4(1(0(2(3(1(4(2(1(4(3(2(z0)))))))))))))))))))), 2'(4(3(3(2(3(2(4(1(0(2(3(1(4(2(1(4(3(2(z0))))))))))))))))))), 4'(3(3(2(3(2(4(1(0(2(3(1(4(2(1(4(3(2(z0)))))))))))))))))), 3'(3(2(3(2(4(1(0(2(3(1(4(2(1(4(3(2(z0))))))))))))))))), 3'(2(3(2(4(1(0(2(3(1(4(2(1(4(3(2(z0)))))))))))))))), 2'(3(2(4(1(0(2(3(1(4(2(1(4(3(2(z0))))))))))))))), 3'(2(4(1(0(2(3(1(4(2(1(4(3(2(z0)))))))))))))), 2'(4(1(0(2(3(1(4(2(1(4(3(2(z0))))))))))))), 4'(1(0(2(3(1(4(2(1(4(3(2(z0)))))))))))), 1'(0(2(3(1(4(2(1(4(3(2(z0))))))))))), 0'(2(3(1(4(2(1(4(3(2(z0)))))))))), 2'(3(1(4(2(1(4(3(2(z0))))))))), 3'(1(4(2(1(4(3(2(z0)))))))), 1'(4(2(1(4(3(2(z0))))))), 4'(2(1(4(3(2(z0)))))), 2'(1(4(3(2(z0))))), 1'(4(3(2(z0)))), 4'(3(2(z0))), 3'(2(z0)), 2'(z0))
   1'(z0) -> c32
   1'(c_1(c_3(c_4(c_0(c_1(c_4(c_2(c_0(c_3(c_4(c_4(c_0(c_0(c_3(c_0(c_1(c_2(c_3(c_2(z0)))))))))))))))))))) -> c33(3'(0(4(1(1(4(0(4(1(2(1(4(2(0(4(4(3(3(2(2(z0)))))))))))))))))))), 0'(4(1(1(4(0(4(1(2(1(4(2(0(4(4(3(3(2(2(z0))))))))))))))))))), 4'(1(1(4(0(4(1(2(1(4(2(0(4(4(3(3(2(2(z0)))))))))))))))))), 1'(1(4(0(4(1(2(1(4(2(0(4(4(3(3(2(2(z0))))))))))))))))), 1'(4(0(4(1(2(1(4(2(0(4(4(3(3(2(2(z0)))))))))))))))), 4'(0(4(1(2(1(4(2(0(4(4(3(3(2(2(z0))))))))))))))), 0'(4(1(2(1(4(2(0(4(4(3(3(2(2(z0)))))))))))))), 4'(1(2(1(4(2(0(4(4(3(3(2(2(z0))))))))))))), 1'(2(1(4(2(0(4(4(3(3(2(2(z0)))))))))))), 2'(1(4(2(0(4(4(3(3(2(2(z0))))))))))), 1'(4(2(0(4(4(3(3(2(2(z0)))))))))), 4'(2(0(4(4(3(3(2(2(z0))))))))), 2'(0(4(4(3(3(2(2(z0)))))))), 0'(4(4(3(3(2(2(z0))))))), 4'(4(3(3(2(2(z0)))))), 4'(3(3(2(2(z0))))), 3'(3(2(2(z0)))), 3'(2(2(z0))), 2'(2(z0)), 2'(z0))
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   2'(z0) -> c48
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   2'(c_3(c_4(c_2(c_2(c_3(c_3(c_4(c_3(c_2(c_0(c_2(c_1(c_0(c_2(c_1(c_4(c_1(c_3(c_2(z0)))))))))))))))))))) -> c52(1'(4(0(4(1(3(1(1(1(1(3(0(1(0(4(1(4(2(1(1(z0)))))))))))))))))))), 4'(0(4(1(3(1(1(1(1(3(0(1(0(4(1(4(2(1(1(z0))))))))))))))))))), 0'(4(1(3(1(1(1(1(3(0(1(0(4(1(4(2(1(1(z0)))))))))))))))))), 4'(1(3(1(1(1(1(3(0(1(0(4(1(4(2(1(1(z0))))))))))))))))), 1'(3(1(1(1(1(3(0(1(0(4(1(4(2(1(1(z0)))))))))))))))), 3'(1(1(1(1(3(0(1(0(4(1(4(2(1(1(z0))))))))))))))), 1'(1(1(1(3(0(1(0(4(1(4(2(1(1(z0)))))))))))))), 1'(1(1(3(0(1(0(4(1(4(2(1(1(z0))))))))))))), 1'(1(3(0(1(0(4(1(4(2(1(1(z0)))))))))))), 1'(3(0(1(0(4(1(4(2(1(1(z0))))))))))), 3'(0(1(0(4(1(4(2(1(1(z0)))))))))), 0'(1(0(4(1(4(2(1(1(z0))))))))), 1'(0(4(1(4(2(1(1(z0)))))))), 0'(4(1(4(2(1(1(z0))))))), 4'(1(4(2(1(1(z0)))))), 1'(4(2(1(1(z0))))), 4'(2(1(1(z0)))), 2'(1(1(z0))), 1'(1(z0)), 1'(z0))
   2'(c_1(c_2(c_3(c_3(c_2(c_2(c_1(c_2(c_3(c_3(c_2(c_0(c_4(c_3(c_4(c_1(c_0(c_1(c_2(z0)))))))))))))))))))) -> c53(3'(4(1(4(0(2(0(1(2(0(4(4(1(0(2(4(1(1(1(2(z0)))))))))))))))))))), 4'(1(4(0(2(0(1(2(0(4(4(1(0(2(4(1(1(1(2(z0))))))))))))))))))), 1'(4(0(2(0(1(2(0(4(4(1(0(2(4(1(1(1(2(z0)))))))))))))))))), 4'(0(2(0(1(2(0(4(4(1(0(2(4(1(1(1(2(z0))))))))))))))))), 0'(2(0(1(2(0(4(4(1(0(2(4(1(1(1(2(z0)))))))))))))))), 2'(0(1(2(0(4(4(1(0(2(4(1(1(1(2(z0))))))))))))))), 0'(1(2(0(4(4(1(0(2(4(1(1(1(2(z0)))))))))))))), 1'(2(0(4(4(1(0(2(4(1(1(1(2(z0))))))))))))), 2'(0(4(4(1(0(2(4(1(1(1(2(z0)))))))))))), 0'(4(4(1(0(2(4(1(1(1(2(z0))))))))))), 4'(4(1(0(2(4(1(1(1(2(z0)))))))))), 4'(1(0(2(4(1(1(1(2(z0))))))))), 1'(0(2(4(1(1(1(2(z0)))))))), 0'(2(4(1(1(1(2(z0))))))), 2'(4(1(1(1(2(z0)))))), 4'(1(1(1(2(z0))))), 1'(1(1(2(z0)))), 1'(1(2(z0))), 1'(2(z0)), 2'(z0))
   2'(c_1(c_0(c_1(c_0(c_4(c_2(c_1(c_1(c_1(c_3(c_0(c_4(c_2(c_2(c_0(c_2(c_3(c_2(c_2(z0)))))))))))))))))))) -> c54(3'(2(0(3(1(3(1(2(1(2(1(1(1(3(1(1(4(1(3(2(z0)))))))))))))))))))), 2'(0(3(1(3(1(2(1(2(1(1(1(3(1(1(4(1(3(2(z0))))))))))))))))))), 0'(3(1(3(1(2(1(2(1(1(1(3(1(1(4(1(3(2(z0)))))))))))))))))), 3'(1(3(1(2(1(2(1(1(1(3(1(1(4(1(3(2(z0))))))))))))))))), 1'(3(1(2(1(2(1(1(1(3(1(1(4(1(3(2(z0)))))))))))))))), 3'(1(2(1(2(1(1(1(3(1(1(4(1(3(2(z0))))))))))))))), 1'(2(1(2(1(1(1(3(1(1(4(1(3(2(z0)))))))))))))), 2'(1(2(1(1(1(3(1(1(4(1(3(2(z0))))))))))))), 1'(2(1(1(1(3(1(1(4(1(3(2(z0)))))))))))), 2'(1(1(1(3(1(1(4(1(3(2(z0))))))))))), 1'(1(1(3(1(1(4(1(3(2(z0)))))))))), 1'(1(3(1(1(4(1(3(2(z0))))))))), 1'(3(1(1(4(1(3(2(z0)))))))), 3'(1(1(4(1(3(2(z0))))))), 1'(1(4(1(3(2(z0)))))), 1'(4(1(3(2(z0))))), 4'(1(3(2(z0)))), 1'(3(2(z0))), 3'(2(z0)), 2'(z0))
   2'(c_2(c_2(c_1(c_4(c_3(c_0(c_3(c_2(c_4(c_0(c_4(c_0(c_4(c_1(c_0(c_4(c_2(c_2(c_1(z0)))))))))))))))))))) -> c55(1'(1(4(2(4(4(2(1(2(0(3(2(1(4(3(1(3(2(4(2(z0)))))))))))))))))))), 1'(4(2(4(4(2(1(2(0(3(2(1(4(3(1(3(2(4(2(z0))))))))))))))))))), 4'(2(4(4(2(1(2(0(3(2(1(4(3(1(3(2(4(2(z0)))))))))))))))))), 2'(4(4(2(1(2(0(3(2(1(4(3(1(3(2(4(2(z0))))))))))))))))), 4'(4(2(1(2(0(3(2(1(4(3(1(3(2(4(2(z0)))))))))))))))), 4'(2(1(2(0(3(2(1(4(3(1(3(2(4(2(z0))))))))))))))), 2'(1(2(0(3(2(1(4(3(1(3(2(4(2(z0)))))))))))))), 1'(2(0(3(2(1(4(3(1(3(2(4(2(z0))))))))))))), 2'(0(3(2(1(4(3(1(3(2(4(2(z0)))))))))))), 0'(3(2(1(4(3(1(3(2(4(2(z0))))))))))), 3'(2(1(4(3(1(3(2(4(2(z0)))))))))), 2'(1(4(3(1(3(2(4(2(z0))))))))), 1'(4(3(1(3(2(4(2(z0)))))))), 4'(3(1(3(2(4(2(z0))))))), 3'(1(3(2(4(2(z0)))))), 1'(3(2(4(2(z0))))), 3'(2(4(2(z0)))), 2'(4(2(z0))), 4'(2(z0)), 2'(z0))
   2'(c_4(c_2(c_0(c_3(c_2(c_2(c_4(c_4(c_3(c_0(c_1(c_0(c_3(c_2(c_3(c_2(c_2(c_4(c_2(z0)))))))))))))))))))) -> c56(3'(0(4(0(2(4(1(0(3(2(3(0(0(2(4(2(4(1(0(2(z0)))))))))))))))))))), 0'(4(0(2(4(1(0(3(2(3(0(0(2(4(2(4(1(0(2(z0))))))))))))))))))), 4'(0(2(4(1(0(3(2(3(0(0(2(4(2(4(1(0(2(z0)))))))))))))))))), 0'(2(4(1(0(3(2(3(0(0(2(4(2(4(1(0(2(z0))))))))))))))))), 2'(4(1(0(3(2(3(0(0(2(4(2(4(1(0(2(z0)))))))))))))))), 4'(1(0(3(2(3(0(0(2(4(2(4(1(0(2(z0))))))))))))))), 1'(0(3(2(3(0(0(2(4(2(4(1(0(2(z0)))))))))))))), 0'(3(2(3(0(0(2(4(2(4(1(0(2(z0))))))))))))), 3'(2(3(0(0(2(4(2(4(1(0(2(z0)))))))))))), 2'(3(0(0(2(4(2(4(1(0(2(z0))))))))))), 3'(0(0(2(4(2(4(1(0(2(z0)))))))))), 0'(0(2(4(2(4(1(0(2(z0))))))))), 0'(2(4(2(4(1(0(2(z0)))))))), 2'(4(2(4(1(0(2(z0))))))), 4'(2(4(1(0(2(z0)))))), 2'(4(1(0(2(z0))))), 4'(1(0(2(z0)))), 1'(0(2(z0))), 0'(2(z0)), 2'(z0))
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   3'(z0) -> c72
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   3'(c_2(c_1(c_1(c_1(c_4(c_2(c_4(c_0(c_3(c_1(c_3(c_0(c_2(c_3(c_0(c_4(c_0(c_3(c_2(z0)))))))))))))))))))) -> c74(3'(0(3(0(4(3(2(2(1(1(4(4(4(3(0(2(4(2(2(2(z0)))))))))))))))))))), 0'(3(0(4(3(2(2(1(1(4(4(4(3(0(2(4(2(2(2(z0))))))))))))))))))), 3'(0(4(3(2(2(1(1(4(4(4(3(0(2(4(2(2(2(z0)))))))))))))))))), 0'(4(3(2(2(1(1(4(4(4(3(0(2(4(2(2(2(z0))))))))))))))))), 4'(3(2(2(1(1(4(4(4(3(0(2(4(2(2(2(z0)))))))))))))))), 3'(2(2(1(1(4(4(4(3(0(2(4(2(2(2(z0))))))))))))))), 2'(2(1(1(4(4(4(3(0(2(4(2(2(2(z0)))))))))))))), 2'(1(1(4(4(4(3(0(2(4(2(2(2(z0))))))))))))), 1'(1(4(4(4(3(0(2(4(2(2(2(z0)))))))))))), 1'(4(4(4(3(0(2(4(2(2(2(z0))))))))))), 4'(4(4(3(0(2(4(2(2(2(z0)))))))))), 4'(4(3(0(2(4(2(2(2(z0))))))))), 4'(3(0(2(4(2(2(2(z0)))))))), 3'(0(2(4(2(2(2(z0))))))), 0'(2(4(2(2(2(z0)))))), 2'(4(2(2(2(z0))))), 4'(2(2(2(z0)))), 2'(2(2(z0))), 2'(2(z0)), 2'(z0))
   3'(c_3(c_0(c_2(c_0(c_0(c_1(c_3(c_0(c_2(c_2(c_2(c_4(c_0(c_3(c_1(c_1(c_0(c_0(c_2(z0)))))))))))))))))))) -> c75(4'(0(2(1(3(2(4(0(1(4(1(1(0(2(0(0(2(2(4(2(z0)))))))))))))))))))), 0'(2(1(3(2(4(0(1(4(1(1(0(2(0(0(2(2(4(2(z0))))))))))))))))))), 2'(1(3(2(4(0(1(4(1(1(0(2(0(0(2(2(4(2(z0)))))))))))))))))), 1'(3(2(4(0(1(4(1(1(0(2(0(0(2(2(4(2(z0))))))))))))))))), 3'(2(4(0(1(4(1(1(0(2(0(0(2(2(4(2(z0)))))))))))))))), 2'(4(0(1(4(1(1(0(2(0(0(2(2(4(2(z0))))))))))))))), 4'(0(1(4(1(1(0(2(0(0(2(2(4(2(z0)))))))))))))), 0'(1(4(1(1(0(2(0(0(2(2(4(2(z0))))))))))))), 1'(4(1(1(0(2(0(0(2(2(4(2(z0)))))))))))), 4'(1(1(0(2(0(0(2(2(4(2(z0))))))))))), 1'(1(0(2(0(0(2(2(4(2(z0)))))))))), 1'(0(2(0(0(2(2(4(2(z0))))))))), 0'(2(0(0(2(2(4(2(z0)))))))), 2'(0(0(2(2(4(2(z0))))))), 0'(0(2(2(4(2(z0)))))), 0'(2(2(4(2(z0))))), 2'(2(4(2(z0)))), 2'(4(2(z0))), 4'(2(z0)), 2'(z0))
   3'(c_1(c_0(c_2(c_3(c_2(c_2(c_4(c_3(c_0(c_2(c_0(c_4(c_2(c_1(c_0(c_2(c_1(c_1(c_1(z0)))))))))))))))))))) -> c76(1'(4(0(1(0(4(1(1(3(4(3(2(4(4(3(2(1(1(2(2(z0)))))))))))))))))))), 4'(0(1(0(4(1(1(3(4(3(2(4(4(3(2(1(1(2(2(z0))))))))))))))))))), 0'(1(0(4(1(1(3(4(3(2(4(4(3(2(1(1(2(2(z0)))))))))))))))))), 1'(0(4(1(1(3(4(3(2(4(4(3(2(1(1(2(2(z0))))))))))))))))), 0'(4(1(1(3(4(3(2(4(4(3(2(1(1(2(2(z0)))))))))))))))), 4'(1(1(3(4(3(2(4(4(3(2(1(1(2(2(z0))))))))))))))), 1'(1(3(4(3(2(4(4(3(2(1(1(2(2(z0)))))))))))))), 1'(3(4(3(2(4(4(3(2(1(1(2(2(z0))))))))))))), 3'(4(3(2(4(4(3(2(1(1(2(2(z0)))))))))))), 4'(3(2(4(4(3(2(1(1(2(2(z0))))))))))), 3'(2(4(4(3(2(1(1(2(2(z0)))))))))), 2'(4(4(3(2(1(1(2(2(z0))))))))), 4'(4(3(2(1(1(2(2(z0)))))))), 4'(3(2(1(1(2(2(z0))))))), 3'(2(1(1(2(2(z0)))))), 2'(1(1(2(2(z0))))), 1'(1(2(2(z0)))), 1'(2(2(z0))), 2'(2(z0)), 2'(z0))
   3'(c_3(c_0(c_4(c_4(c_2(c_4(c_0(c_4(c_0(c_4(c_2(c_0(c_2(c_2(c_2(c_4(c_0(c_3(c_2(z0)))))))))))))))))))) -> c77(0'(1(0(1(1(1(4(4(0(1(3(2(2(4(1(4(3(4(2(2(z0)))))))))))))))))))), 1'(0(1(1(1(4(4(0(1(3(2(2(4(1(4(3(4(2(2(z0))))))))))))))))))), 0'(1(1(1(4(4(0(1(3(2(2(4(1(4(3(4(2(2(z0)))))))))))))))))), 1'(1(1(4(4(0(1(3(2(2(4(1(4(3(4(2(2(z0))))))))))))))))), 1'(1(4(4(0(1(3(2(2(4(1(4(3(4(2(2(z0)))))))))))))))), 1'(4(4(0(1(3(2(2(4(1(4(3(4(2(2(z0))))))))))))))), 4'(4(0(1(3(2(2(4(1(4(3(4(2(2(z0)))))))))))))), 4'(0(1(3(2(2(4(1(4(3(4(2(2(z0))))))))))))), 0'(1(3(2(2(4(1(4(3(4(2(2(z0)))))))))))), 1'(3(2(2(4(1(4(3(4(2(2(z0))))))))))), 3'(2(2(4(1(4(3(4(2(2(z0)))))))))), 2'(2(4(1(4(3(4(2(2(z0))))))))), 2'(4(1(4(3(4(2(2(z0)))))))), 4'(1(4(3(4(2(2(z0))))))), 1'(4(3(4(2(2(z0)))))), 4'(3(4(2(2(z0))))), 3'(4(2(2(z0)))), 4'(2(2(z0))), 2'(2(z0)), 2'(z0))
   3'(c_2(c_3(c_3(c_3(c_4(c_1(c_2(c_1(c_2(c_1(c_2(c_1(c_3(c_1(c_1(c_0(c_1(c_4(c_2(z0)))))))))))))))))))) -> c78(3'(0(1(0(0(4(4(4(4(2(4(4(4(3(0(0(2(1(4(2(z0)))))))))))))))))))), 0'(1(0(0(4(4(4(4(2(4(4(4(3(0(0(2(1(4(2(z0))))))))))))))))))), 1'(0(0(4(4(4(4(2(4(4(4(3(0(0(2(1(4(2(z0)))))))))))))))))), 0'(0(4(4(4(4(2(4(4(4(3(0(0(2(1(4(2(z0))))))))))))))))), 0'(4(4(4(4(2(4(4(4(3(0(0(2(1(4(2(z0)))))))))))))))), 4'(4(4(4(2(4(4(4(3(0(0(2(1(4(2(z0))))))))))))))), 4'(4(4(2(4(4(4(3(0(0(2(1(4(2(z0)))))))))))))), 4'(4(2(4(4(4(3(0(0(2(1(4(2(z0))))))))))))), 4'(2(4(4(4(3(0(0(2(1(4(2(z0)))))))))))), 2'(4(4(4(3(0(0(2(1(4(2(z0))))))))))), 4'(4(4(3(0(0(2(1(4(2(z0)))))))))), 4'(4(3(0(0(2(1(4(2(z0))))))))), 4'(3(0(0(2(1(4(2(z0)))))))), 3'(0(0(2(1(4(2(z0))))))), 0'(0(2(1(4(2(z0)))))), 0'(2(1(4(2(z0))))), 2'(1(4(2(z0)))), 1'(4(2(z0))), 4'(2(z0)), 2'(z0))
   3'(c_2(c_1(c_0(c_4(c_1(c_2(c_2(c_0(c_3(c_4(c_3(c_2(c_3(c_4(c_1(c_4(c_0(c_1(c_2(z0)))))))))))))))))))) -> c79(0'(2(4(3(3(2(4(3(3(3(1(2(2(3(4(3(4(3(4(2(z0)))))))))))))))))))), 2'(4(3(3(2(4(3(3(3(1(2(2(3(4(3(4(3(4(2(z0))))))))))))))))))), 4'(3(3(2(4(3(3(3(1(2(2(3(4(3(4(3(4(2(z0)))))))))))))))))), 3'(3(2(4(3(3(3(1(2(2(3(4(3(4(3(4(2(z0))))))))))))))))), 3'(2(4(3(3(3(1(2(2(3(4(3(4(3(4(2(z0)))))))))))))))), 2'(4(3(3(3(1(2(2(3(4(3(4(3(4(2(z0))))))))))))))), 4'(3(3(3(1(2(2(3(4(3(4(3(4(2(z0)))))))))))))), 3'(3(3(1(2(2(3(4(3(4(3(4(2(z0))))))))))))), 3'(3(1(2(2(3(4(3(4(3(4(2(z0)))))))))))), 3'(1(2(2(3(4(3(4(3(4(2(z0))))))))))), 1'(2(2(3(4(3(4(3(4(2(z0)))))))))), 2'(2(3(4(3(4(3(4(2(z0))))))))), 2'(3(4(3(4(3(4(2(z0)))))))), 3'(4(3(4(3(4(2(z0))))))), 4'(3(4(3(4(2(z0)))))), 3'(4(3(4(2(z0))))), 4'(3(4(2(z0)))), 3'(4(2(z0))), 4'(2(z0)), 2'(z0))
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   3'(c_2(c_3(c_1(c_0(c_1(c_4(c_2(c_4(c_3(c_1(c_0(c_4(c_1(c_4(c_3(c_3(c_1(c_0(c_2(z0)))))))))))))))))))) -> c95(0'(0(1(2(2(0(4(4(4(1(0(2(4(1(4(4(0(1(1(2(z0)))))))))))))))))))), 0'(1(2(2(0(4(4(4(1(0(2(4(1(4(4(0(1(1(2(z0))))))))))))))))))), 1'(2(2(0(4(4(4(1(0(2(4(1(4(4(0(1(1(2(z0)))))))))))))))))), 2'(2(0(4(4(4(1(0(2(4(1(4(4(0(1(1(2(z0))))))))))))))))), 2'(0(4(4(4(1(0(2(4(1(4(4(0(1(1(2(z0)))))))))))))))), 0'(4(4(4(1(0(2(4(1(4(4(0(1(1(2(z0))))))))))))))), 4'(4(4(1(0(2(4(1(4(4(0(1(1(2(z0)))))))))))))), 4'(4(1(0(2(4(1(4(4(0(1(1(2(z0))))))))))))), 4'(1(0(2(4(1(4(4(0(1(1(2(z0)))))))))))), 1'(0(2(4(1(4(4(0(1(1(2(z0))))))))))), 0'(2(4(1(4(4(0(1(1(2(z0)))))))))), 2'(4(1(4(4(0(1(1(2(z0))))))))), 4'(1(4(4(0(1(1(2(z0)))))))), 1'(4(4(0(1(1(2(z0))))))), 4'(4(0(1(1(2(z0)))))), 4'(0(1(1(2(z0))))), 0'(1(1(2(z0)))), 1'(1(2(z0))), 1'(2(z0)), 2'(z0))
   3'(c_1(c_3(c_2(c_2(c_4(c_1(c_0(c_3(c_1(c_3(c_0(c_2(c_0(c_0(c_0(c_3(c_3(c_2(c_1(z0)))))))))))))))))))) -> c96(1'(3(0(2(1(3(2(1(4(2(2(2(3(4(4(0(2(4(3(2(z0)))))))))))))))))))), 3'(0(2(1(3(2(1(4(2(2(2(3(4(4(0(2(4(3(2(z0))))))))))))))))))), 0'(2(1(3(2(1(4(2(2(2(3(4(4(0(2(4(3(2(z0)))))))))))))))))), 2'(1(3(2(1(4(2(2(2(3(4(4(0(2(4(3(2(z0))))))))))))))))), 1'(3(2(1(4(2(2(2(3(4(4(0(2(4(3(2(z0)))))))))))))))), 3'(2(1(4(2(2(2(3(4(4(0(2(4(3(2(z0))))))))))))))), 2'(1(4(2(2(2(3(4(4(0(2(4(3(2(z0)))))))))))))), 1'(4(2(2(2(3(4(4(0(2(4(3(2(z0))))))))))))), 4'(2(2(2(3(4(4(0(2(4(3(2(z0)))))))))))), 2'(2(2(3(4(4(0(2(4(3(2(z0))))))))))), 2'(2(3(4(4(0(2(4(3(2(z0)))))))))), 2'(3(4(4(0(2(4(3(2(z0))))))))), 3'(4(4(0(2(4(3(2(z0)))))))), 4'(4(0(2(4(3(2(z0))))))), 4'(0(2(4(3(2(z0)))))), 0'(2(4(3(2(z0))))), 2'(4(3(2(z0)))), 4'(3(2(z0))), 3'(2(z0)), 2'(z0))
   4'(z0) -> c97
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   4'(c_1(c_1(c_3(c_2(c_3(c_0(c_3(c_3(c_3(c_4(c_2(c_4(c_4(c_4(c_1(c_0(c_2(c_0(c_2(z0)))))))))))))))))))) -> c99(4'(4(4(4(1(0(0(3(1(4(0(4(4(0(3(0(1(3(2(2(z0)))))))))))))))))))), 4'(4(4(1(0(0(3(1(4(0(4(4(0(3(0(1(3(2(2(z0))))))))))))))))))), 4'(4(1(0(0(3(1(4(0(4(4(0(3(0(1(3(2(2(z0)))))))))))))))))), 4'(1(0(0(3(1(4(0(4(4(0(3(0(1(3(2(2(z0))))))))))))))))), 1'(0(0(3(1(4(0(4(4(0(3(0(1(3(2(2(z0)))))))))))))))), 0'(0(3(1(4(0(4(4(0(3(0(1(3(2(2(z0))))))))))))))), 0'(3(1(4(0(4(4(0(3(0(1(3(2(2(z0)))))))))))))), 3'(1(4(0(4(4(0(3(0(1(3(2(2(z0))))))))))))), 1'(4(0(4(4(0(3(0(1(3(2(2(z0)))))))))))), 4'(0(4(4(0(3(0(1(3(2(2(z0))))))))))), 0'(4(4(0(3(0(1(3(2(2(z0)))))))))), 4'(4(0(3(0(1(3(2(2(z0))))))))), 4'(0(3(0(1(3(2(2(z0)))))))), 0'(3(0(1(3(2(2(z0))))))), 3'(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))
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   4'(c_3(c_0(c_3(c_2(c_3(c_0(c_4(c_3(c_1(c_3(c_4(c_2(c_0(c_3(c_4(c_3(c_2(c_2(c_1(z0)))))))))))))))))))) -> c101(0'(3(4(3(3(2(4(1(0(0(1(0(0(2(0(3(2(0(2(2(z0)))))))))))))))))))), 3'(4(3(3(2(4(1(0(0(1(0(0(2(0(3(2(0(2(2(z0))))))))))))))))))), 4'(3(3(2(4(1(0(0(1(0(0(2(0(3(2(0(2(2(z0)))))))))))))))))), 3'(3(2(4(1(0(0(1(0(0(2(0(3(2(0(2(2(z0))))))))))))))))), 3'(2(4(1(0(0(1(0(0(2(0(3(2(0(2(2(z0)))))))))))))))), 2'(4(1(0(0(1(0(0(2(0(3(2(0(2(2(z0))))))))))))))), 4'(1(0(0(1(0(0(2(0(3(2(0(2(2(z0)))))))))))))), 1'(0(0(1(0(0(2(0(3(2(0(2(2(z0))))))))))))), 0'(0(1(0(0(2(0(3(2(0(2(2(z0)))))))))))), 0'(1(0(0(2(0(3(2(0(2(2(z0))))))))))), 1'(0(0(2(0(3(2(0(2(2(z0)))))))))), 0'(0(2(0(3(2(0(2(2(z0))))))))), 0'(2(0(3(2(0(2(2(z0)))))))), 2'(0(3(2(0(2(2(z0))))))), 0'(3(2(0(2(2(z0)))))), 3'(2(0(2(2(z0))))), 2'(0(2(2(z0)))), 0'(2(2(z0))), 2'(2(z0)), 2'(z0))
   4'(c_0(c_1(c_3(c_3(c_2(c_4(c_3(c_3(c_2(c_0(c_0(c_1(c_2(c_3(c_4(c_2(c_3(c_3(c_2(z0)))))))))))))))))))) -> c102(2'(4(3(0(3(0(1(4(2(1(4(3(2(1(3(2(3(1(2(2(z0)))))))))))))))))))), 4'(3(0(3(0(1(4(2(1(4(3(2(1(3(2(3(1(2(2(z0))))))))))))))))))), 3'(0(3(0(1(4(2(1(4(3(2(1(3(2(3(1(2(2(z0)))))))))))))))))), 0'(3(0(1(4(2(1(4(3(2(1(3(2(3(1(2(2(z0))))))))))))))))), 3'(0(1(4(2(1(4(3(2(1(3(2(3(1(2(2(z0)))))))))))))))), 0'(1(4(2(1(4(3(2(1(3(2(3(1(2(2(z0))))))))))))))), 1'(4(2(1(4(3(2(1(3(2(3(1(2(2(z0)))))))))))))), 4'(2(1(4(3(2(1(3(2(3(1(2(2(z0))))))))))))), 2'(1(4(3(2(1(3(2(3(1(2(2(z0)))))))))))), 1'(4(3(2(1(3(2(3(1(2(2(z0))))))))))), 4'(3(2(1(3(2(3(1(2(2(z0)))))))))), 3'(2(1(3(2(3(1(2(2(z0))))))))), 2'(1(3(2(3(1(2(2(z0)))))))), 1'(3(2(3(1(2(2(z0))))))), 3'(2(3(1(2(2(z0)))))), 2'(3(1(2(2(z0))))), 3'(1(2(2(z0)))), 1'(2(2(z0))), 2'(2(z0)), 2'(z0))
   4'(c_4(c_3(c_1(c_1(c_3(c_4(c_3(c_2(c_3(c_1(c_1(c_0(c_0(c_0(c_0(c_0(c_0(c_2(c_1(z0)))))))))))))))))))) -> c103(0'(4(0(1(3(0(2(4(3(1(2(2(3(2(0(0(4(4(1(2(z0)))))))))))))))))))), 4'(0(1(3(0(2(4(3(1(2(2(3(2(0(0(4(4(1(2(z0))))))))))))))))))), 0'(1(3(0(2(4(3(1(2(2(3(2(0(0(4(4(1(2(z0)))))))))))))))))), 1'(3(0(2(4(3(1(2(2(3(2(0(0(4(4(1(2(z0))))))))))))))))), 3'(0(2(4(3(1(2(2(3(2(0(0(4(4(1(2(z0)))))))))))))))), 0'(2(4(3(1(2(2(3(2(0(0(4(4(1(2(z0))))))))))))))), 2'(4(3(1(2(2(3(2(0(0(4(4(1(2(z0)))))))))))))), 4'(3(1(2(2(3(2(0(0(4(4(1(2(z0))))))))))))), 3'(1(2(2(3(2(0(0(4(4(1(2(z0)))))))))))), 1'(2(2(3(2(0(0(4(4(1(2(z0))))))))))), 2'(2(3(2(0(0(4(4(1(2(z0)))))))))), 2'(3(2(0(0(4(4(1(2(z0))))))))), 3'(2(0(0(4(4(1(2(z0)))))))), 2'(0(0(4(4(1(2(z0))))))), 0'(0(4(4(1(2(z0)))))), 0'(4(4(1(2(z0))))), 4'(4(1(2(z0)))), 4'(1(2(z0))), 1'(2(z0)), 2'(z0))
   4'(c_4(c_3(c_3(c_4(c_0(c_1(c_0(c_1(c_4(c_0(c_0(c_2(c_3(c_3(c_4(c_0(c_0(c_2(c_1(z0)))))))))))))))))))) -> c104(1'(0(1(2(0(1(1(1(1(2(0(0(1(4(3(2(2(4(3(2(z0)))))))))))))))))))), 0'(1(2(0(1(1(1(1(2(0(0(1(4(3(2(2(4(3(2(z0))))))))))))))))))), 1'(2(0(1(1(1(1(2(0(0(1(4(3(2(2(4(3(2(z0)))))))))))))))))), 2'(0(1(1(1(1(2(0(0(1(4(3(2(2(4(3(2(z0))))))))))))))))), 0'(1(1(1(1(2(0(0(1(4(3(2(2(4(3(2(z0)))))))))))))))), 1'(1(1(1(2(0(0(1(4(3(2(2(4(3(2(z0))))))))))))))), 1'(1(1(2(0(0(1(4(3(2(2(4(3(2(z0)))))))))))))), 1'(1(2(0(0(1(4(3(2(2(4(3(2(z0))))))))))))), 1'(2(0(0(1(4(3(2(2(4(3(2(z0)))))))))))), 2'(0(0(1(4(3(2(2(4(3(2(z0))))))))))), 0'(0(1(4(3(2(2(4(3(2(z0)))))))))), 0'(1(4(3(2(2(4(3(2(z0))))))))), 1'(4(3(2(2(4(3(2(z0)))))))), 4'(3(2(2(4(3(2(z0))))))), 3'(2(2(4(3(2(z0)))))), 2'(2(4(3(2(z0))))), 2'(4(3(2(z0)))), 4'(3(2(z0))), 3'(2(z0)), 2'(z0))
   4'(c_3(c_3(c_0(c_2(c_4(c_1(c_2(c_2(c_3(c_0(c_0(c_2(c_0(c_0(c_1(c_0(c_3(c_1(c_2(z0)))))))))))))))))))) -> c105(4'(0(2(3(1(1(4(3(3(1(1(4(0(2(3(2(2(0(1(2(z0)))))))))))))))))))), 0'(2(3(1(1(4(3(3(1(1(4(0(2(3(2(2(0(1(2(z0))))))))))))))))))), 2'(3(1(1(4(3(3(1(1(4(0(2(3(2(2(0(1(2(z0)))))))))))))))))), 3'(1(1(4(3(3(1(1(4(0(2(3(2(2(0(1(2(z0))))))))))))))))), 1'(1(4(3(3(1(1(4(0(2(3(2(2(0(1(2(z0)))))))))))))))), 1'(4(3(3(1(1(4(0(2(3(2(2(0(1(2(z0))))))))))))))), 4'(3(3(1(1(4(0(2(3(2(2(0(1(2(z0)))))))))))))), 3'(3(1(1(4(0(2(3(2(2(0(1(2(z0))))))))))))), 3'(1(1(4(0(2(3(2(2(0(1(2(z0)))))))))))), 1'(1(4(0(2(3(2(2(0(1(2(z0))))))))))), 1'(4(0(2(3(2(2(0(1(2(z0)))))))))), 4'(0(2(3(2(2(0(1(2(z0))))))))), 0'(2(3(2(2(0(1(2(z0)))))))), 2'(3(2(2(0(1(2(z0))))))), 3'(2(2(0(1(2(z0)))))), 2'(2(0(1(2(z0))))), 2'(0(1(2(z0)))), 0'(1(2(z0))), 1'(2(z0)), 2'(z0))
   4'(c_3(c_4(c_0(c_2(c_4(c_3(c_2(c_3(c_3(c_1(c_3(c_3(c_4(c_2(c_4(c_0(c_4(c_1(c_2(z0)))))))))))))))))))) -> c106(4'(4(3(4(1(0(4(4(3(0(2(1(4(2(1(1(4(4(1(2(z0)))))))))))))))))))), 4'(3(4(1(0(4(4(3(0(2(1(4(2(1(1(4(4(1(2(z0))))))))))))))))))), 3'(4(1(0(4(4(3(0(2(1(4(2(1(1(4(4(1(2(z0)))))))))))))))))), 4'(1(0(4(4(3(0(2(1(4(2(1(1(4(4(1(2(z0))))))))))))))))), 1'(0(4(4(3(0(2(1(4(2(1(1(4(4(1(2(z0)))))))))))))))), 0'(4(4(3(0(2(1(4(2(1(1(4(4(1(2(z0))))))))))))))), 4'(4(3(0(2(1(4(2(1(1(4(4(1(2(z0)))))))))))))), 4'(3(0(2(1(4(2(1(1(4(4(1(2(z0))))))))))))), 3'(0(2(1(4(2(1(1(4(4(1(2(z0)))))))))))), 0'(2(1(4(2(1(1(4(4(1(2(z0))))))))))), 2'(1(4(2(1(1(4(4(1(2(z0)))))))))), 1'(4(2(1(1(4(4(1(2(z0))))))))), 4'(2(1(1(4(4(1(2(z0)))))))), 2'(1(1(4(4(1(2(z0))))))), 1'(1(4(4(1(2(z0)))))), 1'(4(4(1(2(z0))))), 4'(4(1(2(z0)))), 4'(1(2(z0))), 1'(2(z0)), 2'(z0))
   4'(c_4(c_2(c_4(c_0(c_0(c_2(c_3(c_4(c_3(c_3(c_1(c_4(c_2(c_2(c_3(c_1(c_0(c_2(c_1(z0)))))))))))))))))))) -> c107(4'(4(1(4(4(4(1(1(4(0(2(3(2(3(1(2(2(1(2(1(z0)))))))))))))))))))), 4'(1(4(4(4(1(1(4(0(2(3(2(3(1(2(2(1(2(1(z0))))))))))))))))))), 1'(4(4(4(1(1(4(0(2(3(2(3(1(2(2(1(2(1(z0)))))))))))))))))), 4'(4(4(1(1(4(0(2(3(2(3(1(2(2(1(2(1(z0))))))))))))))))), 4'(4(1(1(4(0(2(3(2(3(1(2(2(1(2(1(z0)))))))))))))))), 4'(1(1(4(0(2(3(2(3(1(2(2(1(2(1(z0))))))))))))))), 1'(1(4(0(2(3(2(3(1(2(2(1(2(1(z0)))))))))))))), 1'(4(0(2(3(2(3(1(2(2(1(2(1(z0))))))))))))), 4'(0(2(3(2(3(1(2(2(1(2(1(z0)))))))))))), 0'(2(3(2(3(1(2(2(1(2(1(z0))))))))))), 2'(3(2(3(1(2(2(1(2(1(z0)))))))))), 3'(2(3(1(2(2(1(2(1(z0))))))))), 2'(3(1(2(2(1(2(1(z0)))))))), 3'(1(2(2(1(2(1(z0))))))), 1'(2(2(1(2(1(z0)))))), 2'(2(1(2(1(z0))))), 2'(1(2(1(z0)))), 1'(2(1(z0))), 2'(1(z0)), 1'(z0))
   4'(c_1(c_3(c_4(c_3(c_2(c_2(c_1(c_1(c_2(c_3(c_0(c_4(c_1(c_1(c_3(c_4(c_3(c_4(c_2(z0)))))))))))))))))))) -> c108(2'(4(2(1(1(4(0(2(3(0(0(4(2(4(4(0(3(3(1(2(z0)))))))))))))))))))), 4'(2(1(1(4(0(2(3(0(0(4(2(4(4(0(3(3(1(2(z0))))))))))))))))))), 2'(1(1(4(0(2(3(0(0(4(2(4(4(0(3(3(1(2(z0)))))))))))))))))), 1'(1(4(0(2(3(0(0(4(2(4(4(0(3(3(1(2(z0))))))))))))))))), 1'(4(0(2(3(0(0(4(2(4(4(0(3(3(1(2(z0)))))))))))))))), 4'(0(2(3(0(0(4(2(4(4(0(3(3(1(2(z0))))))))))))))), 0'(2(3(0(0(4(2(4(4(0(3(3(1(2(z0)))))))))))))), 2'(3(0(0(4(2(4(4(0(3(3(1(2(z0))))))))))))), 3'(0(0(4(2(4(4(0(3(3(1(2(z0)))))))))))), 0'(0(4(2(4(4(0(3(3(1(2(z0))))))))))), 0'(4(2(4(4(0(3(3(1(2(z0)))))))))), 4'(2(4(4(0(3(3(1(2(z0))))))))), 2'(4(4(0(3(3(1(2(z0)))))))), 4'(4(0(3(3(1(2(z0))))))), 4'(0(3(3(1(2(z0)))))), 0'(3(3(1(2(z0))))), 3'(3(1(2(z0)))), 3'(1(2(z0))), 1'(2(z0)), 2'(z0))
   4'(c_1(c_0(c_2(c_0(c_0(c_0(c_2(c_3(c_4(c_0(c_4(c_2(c_0(c_2(c_0(c_3(c_4(c_3(c_2(z0)))))))))))))))))))) -> c109(2'(1(1(1(4(2(2(0(0(4(1(2(2(2(0(0(2(4(0(2(z0)))))))))))))))))))), 1'(1(1(4(2(2(0(0(4(1(2(2(2(0(0(2(4(0(2(z0))))))))))))))))))), 1'(1(4(2(2(0(0(4(1(2(2(2(0(0(2(4(0(2(z0)))))))))))))))))), 1'(4(2(2(0(0(4(1(2(2(2(0(0(2(4(0(2(z0))))))))))))))))), 4'(2(2(0(0(4(1(2(2(2(0(0(2(4(0(2(z0)))))))))))))))), 2'(2(0(0(4(1(2(2(2(0(0(2(4(0(2(z0))))))))))))))), 2'(0(0(4(1(2(2(2(0(0(2(4(0(2(z0)))))))))))))), 0'(0(4(1(2(2(2(0(0(2(4(0(2(z0))))))))))))), 0'(4(1(2(2(2(0(0(2(4(0(2(z0)))))))))))), 4'(1(2(2(2(0(0(2(4(0(2(z0))))))))))), 1'(2(2(2(0(0(2(4(0(2(z0)))))))))), 2'(2(2(0(0(2(4(0(2(z0))))))))), 2'(2(0(0(2(4(0(2(z0)))))))), 2'(0(0(2(4(0(2(z0))))))), 0'(0(2(4(0(2(z0)))))), 0'(2(4(0(2(z0))))), 2'(4(0(2(z0)))), 4'(0(2(z0))), 0'(2(z0)), 2'(z0))
   4'(c_1(c_1(c_4(c_4(c_0(c_1(c_2(c_1(c_0(c_0(c_4(c_4(c_2(c_3(c_3(c_3(c_1(c_3(c_2(z0)))))))))))))))))))) -> c110(3'(1(0(4(2(4(4(1(2(4(3(3(2(2(1(4(3(3(4(2(z0)))))))))))))))))))), 1'(0(4(2(4(4(1(2(4(3(3(2(2(1(4(3(3(4(2(z0))))))))))))))))))), 0'(4(2(4(4(1(2(4(3(3(2(2(1(4(3(3(4(2(z0)))))))))))))))))), 4'(2(4(4(1(2(4(3(3(2(2(1(4(3(3(4(2(z0))))))))))))))))), 2'(4(4(1(2(4(3(3(2(2(1(4(3(3(4(2(z0)))))))))))))))), 4'(4(1(2(4(3(3(2(2(1(4(3(3(4(2(z0))))))))))))))), 4'(1(2(4(3(3(2(2(1(4(3(3(4(2(z0)))))))))))))), 1'(2(4(3(3(2(2(1(4(3(3(4(2(z0))))))))))))), 2'(4(3(3(2(2(1(4(3(3(4(2(z0)))))))))))), 4'(3(3(2(2(1(4(3(3(4(2(z0))))))))))), 3'(3(2(2(1(4(3(3(4(2(z0)))))))))), 3'(2(2(1(4(3(3(4(2(z0))))))))), 2'(2(1(4(3(3(4(2(z0)))))))), 2'(1(4(3(3(4(2(z0))))))), 1'(4(3(3(4(2(z0)))))), 4'(3(3(4(2(z0))))), 3'(3(4(2(z0)))), 3'(4(2(z0))), 4'(2(z0)), 2'(z0))
   4'(c_3(c_1(c_0(c_2(c_1(c_0(c_4(c_4(c_0(c_3(c_1(c_0(c_0(c_3(c_0(c_4(c_3(c_1(c_2(z0)))))))))))))))))))) -> c111(0'(1(3(4(0(2(0(0(3(0(0(3(1(2(4(3(1(1(3(2(z0)))))))))))))))))))), 1'(3(4(0(2(0(0(3(0(0(3(1(2(4(3(1(1(3(2(z0))))))))))))))))))), 3'(4(0(2(0(0(3(0(0(3(1(2(4(3(1(1(3(2(z0)))))))))))))))))), 4'(0(2(0(0(3(0(0(3(1(2(4(3(1(1(3(2(z0))))))))))))))))), 0'(2(0(0(3(0(0(3(1(2(4(3(1(1(3(2(z0)))))))))))))))), 2'(0(0(3(0(0(3(1(2(4(3(1(1(3(2(z0))))))))))))))), 0'(0(3(0(0(3(1(2(4(3(1(1(3(2(z0)))))))))))))), 0'(3(0(0(3(1(2(4(3(1(1(3(2(z0))))))))))))), 3'(0(0(3(1(2(4(3(1(1(3(2(z0)))))))))))), 0'(0(3(1(2(4(3(1(1(3(2(z0))))))))))), 0'(3(1(2(4(3(1(1(3(2(z0)))))))))), 3'(1(2(4(3(1(1(3(2(z0))))))))), 1'(2(4(3(1(1(3(2(z0)))))))), 2'(4(3(1(1(3(2(z0))))))), 4'(3(1(1(3(2(z0)))))), 3'(1(1(3(2(z0))))), 1'(1(3(2(z0)))), 1'(3(2(z0))), 3'(2(z0)), 2'(z0))
   4'(c_0(c_1(c_4(c_1(c_2(c_1(c_3(c_4(c_2(c_4(c_3(c_3(c_2(c_1(c_1(c_4(c_4(c_2(c_2(z0)))))))))))))))))))) -> c112(4'(2(3(4(2(4(1(1(1(2(0(1(1(4(0(0(1(3(2(1(z0)))))))))))))))))))), 2'(3(4(2(4(1(1(1(2(0(1(1(4(0(0(1(3(2(1(z0))))))))))))))))))), 3'(4(2(4(1(1(1(2(0(1(1(4(0(0(1(3(2(1(z0)))))))))))))))))), 4'(2(4(1(1(1(2(0(1(1(4(0(0(1(3(2(1(z0))))))))))))))))), 2'(4(1(1(1(2(0(1(1(4(0(0(1(3(2(1(z0)))))))))))))))), 4'(1(1(1(2(0(1(1(4(0(0(1(3(2(1(z0))))))))))))))), 1'(1(1(2(0(1(1(4(0(0(1(3(2(1(z0)))))))))))))), 1'(1(2(0(1(1(4(0(0(1(3(2(1(z0))))))))))))), 1'(2(0(1(1(4(0(0(1(3(2(1(z0)))))))))))), 2'(0(1(1(4(0(0(1(3(2(1(z0))))))))))), 0'(1(1(4(0(0(1(3(2(1(z0)))))))))), 1'(1(4(0(0(1(3(2(1(z0))))))))), 1'(4(0(0(1(3(2(1(z0)))))))), 4'(0(0(1(3(2(1(z0))))))), 0'(0(1(3(2(1(z0)))))), 0'(1(3(2(1(z0))))), 1'(3(2(1(z0)))), 3'(2(1(z0))), 2'(1(z0)), 1'(z0))
   4'(c_3(c_1(c_1(c_2(c_2(c_1(c_3(c_1(c_0(c_0(c_1(c_1(c_0(c_4(c_2(c_3(c_3(c_0(c_2(z0)))))))))))))))))))) -> c113(0'(3(3(1(4(1(1(2(1(2(1(3(1(3(1(4(2(2(4(2(z0)))))))))))))))))))), 3'(3(1(4(1(1(2(1(2(1(3(1(3(1(4(2(2(4(2(z0))))))))))))))))))), 3'(1(4(1(1(2(1(2(1(3(1(3(1(4(2(2(4(2(z0)))))))))))))))))), 1'(4(1(1(2(1(2(1(3(1(3(1(4(2(2(4(2(z0))))))))))))))))), 4'(1(1(2(1(2(1(3(1(3(1(4(2(2(4(2(z0)))))))))))))))), 1'(1(2(1(2(1(3(1(3(1(4(2(2(4(2(z0))))))))))))))), 1'(2(1(2(1(3(1(3(1(4(2(2(4(2(z0)))))))))))))), 2'(1(2(1(3(1(3(1(4(2(2(4(2(z0))))))))))))), 1'(2(1(3(1(3(1(4(2(2(4(2(z0)))))))))))), 2'(1(3(1(3(1(4(2(2(4(2(z0))))))))))), 1'(3(1(3(1(4(2(2(4(2(z0)))))))))), 3'(1(3(1(4(2(2(4(2(z0))))))))), 1'(3(1(4(2(2(4(2(z0)))))))), 3'(1(4(2(2(4(2(z0))))))), 1'(4(2(2(4(2(z0)))))), 4'(2(2(4(2(z0))))), 2'(2(4(2(z0)))), 2'(4(2(z0))), 4'(2(z0)), 2'(z0))
S tuples:
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   4'(c_4(c_3(c_1(c_1(c_3(c_4(c_3(c_2(c_3(c_1(c_1(c_0(c_0(c_0(c_0(c_0(c_0(c_2(c_1(z0)))))))))))))))))))) -> c103(0'(4(0(1(3(0(2(4(3(1(2(2(3(2(0(0(4(4(1(2(z0)))))))))))))))))))), 4'(0(1(3(0(2(4(3(1(2(2(3(2(0(0(4(4(1(2(z0))))))))))))))))))), 0'(1(3(0(2(4(3(1(2(2(3(2(0(0(4(4(1(2(z0)))))))))))))))))), 1'(3(0(2(4(3(1(2(2(3(2(0(0(4(4(1(2(z0))))))))))))))))), 3'(0(2(4(3(1(2(2(3(2(0(0(4(4(1(2(z0)))))))))))))))), 0'(2(4(3(1(2(2(3(2(0(0(4(4(1(2(z0))))))))))))))), 2'(4(3(1(2(2(3(2(0(0(4(4(1(2(z0)))))))))))))), 4'(3(1(2(2(3(2(0(0(4(4(1(2(z0))))))))))))), 3'(1(2(2(3(2(0(0(4(4(1(2(z0)))))))))))), 1'(2(2(3(2(0(0(4(4(1(2(z0))))))))))), 2'(2(3(2(0(0(4(4(1(2(z0)))))))))), 2'(3(2(0(0(4(4(1(2(z0))))))))), 3'(2(0(0(4(4(1(2(z0)))))))), 2'(0(0(4(4(1(2(z0))))))), 0'(0(4(4(1(2(z0)))))), 0'(4(4(1(2(z0))))), 4'(4(1(2(z0)))), 4'(1(2(z0))), 1'(2(z0)), 2'(z0))
   4'(c_4(c_3(c_3(c_4(c_0(c_1(c_0(c_1(c_4(c_0(c_0(c_2(c_3(c_3(c_4(c_0(c_0(c_2(c_1(z0)))))))))))))))))))) -> c104(1'(0(1(2(0(1(1(1(1(2(0(0(1(4(3(2(2(4(3(2(z0)))))))))))))))))))), 0'(1(2(0(1(1(1(1(2(0(0(1(4(3(2(2(4(3(2(z0))))))))))))))))))), 1'(2(0(1(1(1(1(2(0(0(1(4(3(2(2(4(3(2(z0)))))))))))))))))), 2'(0(1(1(1(1(2(0(0(1(4(3(2(2(4(3(2(z0))))))))))))))))), 0'(1(1(1(1(2(0(0(1(4(3(2(2(4(3(2(z0)))))))))))))))), 1'(1(1(1(2(0(0(1(4(3(2(2(4(3(2(z0))))))))))))))), 1'(1(1(2(0(0(1(4(3(2(2(4(3(2(z0)))))))))))))), 1'(1(2(0(0(1(4(3(2(2(4(3(2(z0))))))))))))), 1'(2(0(0(1(4(3(2(2(4(3(2(z0)))))))))))), 2'(0(0(1(4(3(2(2(4(3(2(z0))))))))))), 0'(0(1(4(3(2(2(4(3(2(z0)))))))))), 0'(1(4(3(2(2(4(3(2(z0))))))))), 1'(4(3(2(2(4(3(2(z0)))))))), 4'(3(2(2(4(3(2(z0))))))), 3'(2(2(4(3(2(z0)))))), 2'(2(4(3(2(z0))))), 2'(4(3(2(z0)))), 4'(3(2(z0))), 3'(2(z0)), 2'(z0))
   4'(c_3(c_3(c_0(c_2(c_4(c_1(c_2(c_2(c_3(c_0(c_0(c_2(c_0(c_0(c_1(c_0(c_3(c_1(c_2(z0)))))))))))))))))))) -> c105(4'(0(2(3(1(1(4(3(3(1(1(4(0(2(3(2(2(0(1(2(z0)))))))))))))))))))), 0'(2(3(1(1(4(3(3(1(1(4(0(2(3(2(2(0(1(2(z0))))))))))))))))))), 2'(3(1(1(4(3(3(1(1(4(0(2(3(2(2(0(1(2(z0)))))))))))))))))), 3'(1(1(4(3(3(1(1(4(0(2(3(2(2(0(1(2(z0))))))))))))))))), 1'(1(4(3(3(1(1(4(0(2(3(2(2(0(1(2(z0)))))))))))))))), 1'(4(3(3(1(1(4(0(2(3(2(2(0(1(2(z0))))))))))))))), 4'(3(3(1(1(4(0(2(3(2(2(0(1(2(z0)))))))))))))), 3'(3(1(1(4(0(2(3(2(2(0(1(2(z0))))))))))))), 3'(1(1(4(0(2(3(2(2(0(1(2(z0)))))))))))), 1'(1(4(0(2(3(2(2(0(1(2(z0))))))))))), 1'(4(0(2(3(2(2(0(1(2(z0)))))))))), 4'(0(2(3(2(2(0(1(2(z0))))))))), 0'(2(3(2(2(0(1(2(z0)))))))), 2'(3(2(2(0(1(2(z0))))))), 3'(2(2(0(1(2(z0)))))), 2'(2(0(1(2(z0))))), 2'(0(1(2(z0)))), 0'(1(2(z0))), 1'(2(z0)), 2'(z0))
   4'(c_3(c_4(c_0(c_2(c_4(c_3(c_2(c_3(c_3(c_1(c_3(c_3(c_4(c_2(c_4(c_0(c_4(c_1(c_2(z0)))))))))))))))))))) -> c106(4'(4(3(4(1(0(4(4(3(0(2(1(4(2(1(1(4(4(1(2(z0)))))))))))))))))))), 4'(3(4(1(0(4(4(3(0(2(1(4(2(1(1(4(4(1(2(z0))))))))))))))))))), 3'(4(1(0(4(4(3(0(2(1(4(2(1(1(4(4(1(2(z0)))))))))))))))))), 4'(1(0(4(4(3(0(2(1(4(2(1(1(4(4(1(2(z0))))))))))))))))), 1'(0(4(4(3(0(2(1(4(2(1(1(4(4(1(2(z0)))))))))))))))), 0'(4(4(3(0(2(1(4(2(1(1(4(4(1(2(z0))))))))))))))), 4'(4(3(0(2(1(4(2(1(1(4(4(1(2(z0)))))))))))))), 4'(3(0(2(1(4(2(1(1(4(4(1(2(z0))))))))))))), 3'(0(2(1(4(2(1(1(4(4(1(2(z0)))))))))))), 0'(2(1(4(2(1(1(4(4(1(2(z0))))))))))), 2'(1(4(2(1(1(4(4(1(2(z0)))))))))), 1'(4(2(1(1(4(4(1(2(z0))))))))), 4'(2(1(1(4(4(1(2(z0)))))))), 2'(1(1(4(4(1(2(z0))))))), 1'(1(4(4(1(2(z0)))))), 1'(4(4(1(2(z0))))), 4'(4(1(2(z0)))), 4'(1(2(z0))), 1'(2(z0)), 2'(z0))
   4'(c_4(c_2(c_4(c_0(c_0(c_2(c_3(c_4(c_3(c_3(c_1(c_4(c_2(c_2(c_3(c_1(c_0(c_2(c_1(z0)))))))))))))))))))) -> c107(4'(4(1(4(4(4(1(1(4(0(2(3(2(3(1(2(2(1(2(1(z0)))))))))))))))))))), 4'(1(4(4(4(1(1(4(0(2(3(2(3(1(2(2(1(2(1(z0))))))))))))))))))), 1'(4(4(4(1(1(4(0(2(3(2(3(1(2(2(1(2(1(z0)))))))))))))))))), 4'(4(4(1(1(4(0(2(3(2(3(1(2(2(1(2(1(z0))))))))))))))))), 4'(4(1(1(4(0(2(3(2(3(1(2(2(1(2(1(z0)))))))))))))))), 4'(1(1(4(0(2(3(2(3(1(2(2(1(2(1(z0))))))))))))))), 1'(1(4(0(2(3(2(3(1(2(2(1(2(1(z0)))))))))))))), 1'(4(0(2(3(2(3(1(2(2(1(2(1(z0))))))))))))), 4'(0(2(3(2(3(1(2(2(1(2(1(z0)))))))))))), 0'(2(3(2(3(1(2(2(1(2(1(z0))))))))))), 2'(3(2(3(1(2(2(1(2(1(z0)))))))))), 3'(2(3(1(2(2(1(2(1(z0))))))))), 2'(3(1(2(2(1(2(1(z0)))))))), 3'(1(2(2(1(2(1(z0))))))), 1'(2(2(1(2(1(z0)))))), 2'(2(1(2(1(z0))))), 2'(1(2(1(z0)))), 1'(2(1(z0))), 2'(1(z0)), 1'(z0))
   4'(c_1(c_3(c_4(c_3(c_2(c_2(c_1(c_1(c_2(c_3(c_0(c_4(c_1(c_1(c_3(c_4(c_3(c_4(c_2(z0)))))))))))))))))))) -> c108(2'(4(2(1(1(4(0(2(3(0(0(4(2(4(4(0(3(3(1(2(z0)))))))))))))))))))), 4'(2(1(1(4(0(2(3(0(0(4(2(4(4(0(3(3(1(2(z0))))))))))))))))))), 2'(1(1(4(0(2(3(0(0(4(2(4(4(0(3(3(1(2(z0)))))))))))))))))), 1'(1(4(0(2(3(0(0(4(2(4(4(0(3(3(1(2(z0))))))))))))))))), 1'(4(0(2(3(0(0(4(2(4(4(0(3(3(1(2(z0)))))))))))))))), 4'(0(2(3(0(0(4(2(4(4(0(3(3(1(2(z0))))))))))))))), 0'(2(3(0(0(4(2(4(4(0(3(3(1(2(z0)))))))))))))), 2'(3(0(0(4(2(4(4(0(3(3(1(2(z0))))))))))))), 3'(0(0(4(2(4(4(0(3(3(1(2(z0)))))))))))), 0'(0(4(2(4(4(0(3(3(1(2(z0))))))))))), 0'(4(2(4(4(0(3(3(1(2(z0)))))))))), 4'(2(4(4(0(3(3(1(2(z0))))))))), 2'(4(4(0(3(3(1(2(z0)))))))), 4'(4(0(3(3(1(2(z0))))))), 4'(0(3(3(1(2(z0)))))), 0'(3(3(1(2(z0))))), 3'(3(1(2(z0)))), 3'(1(2(z0))), 1'(2(z0)), 2'(z0))
   4'(c_1(c_0(c_2(c_0(c_0(c_0(c_2(c_3(c_4(c_0(c_4(c_2(c_0(c_2(c_0(c_3(c_4(c_3(c_2(z0)))))))))))))))))))) -> c109(2'(1(1(1(4(2(2(0(0(4(1(2(2(2(0(0(2(4(0(2(z0)))))))))))))))))))), 1'(1(1(4(2(2(0(0(4(1(2(2(2(0(0(2(4(0(2(z0))))))))))))))))))), 1'(1(4(2(2(0(0(4(1(2(2(2(0(0(2(4(0(2(z0)))))))))))))))))), 1'(4(2(2(0(0(4(1(2(2(2(0(0(2(4(0(2(z0))))))))))))))))), 4'(2(2(0(0(4(1(2(2(2(0(0(2(4(0(2(z0)))))))))))))))), 2'(2(0(0(4(1(2(2(2(0(0(2(4(0(2(z0))))))))))))))), 2'(0(0(4(1(2(2(2(0(0(2(4(0(2(z0)))))))))))))), 0'(0(4(1(2(2(2(0(0(2(4(0(2(z0))))))))))))), 0'(4(1(2(2(2(0(0(2(4(0(2(z0)))))))))))), 4'(1(2(2(2(0(0(2(4(0(2(z0))))))))))), 1'(2(2(2(0(0(2(4(0(2(z0)))))))))), 2'(2(2(0(0(2(4(0(2(z0))))))))), 2'(2(0(0(2(4(0(2(z0)))))))), 2'(0(0(2(4(0(2(z0))))))), 0'(0(2(4(0(2(z0)))))), 0'(2(4(0(2(z0))))), 2'(4(0(2(z0)))), 4'(0(2(z0))), 0'(2(z0)), 2'(z0))
   4'(c_1(c_1(c_4(c_4(c_0(c_1(c_2(c_1(c_0(c_0(c_4(c_4(c_2(c_3(c_3(c_3(c_1(c_3(c_2(z0)))))))))))))))))))) -> c110(3'(1(0(4(2(4(4(1(2(4(3(3(2(2(1(4(3(3(4(2(z0)))))))))))))))))))), 1'(0(4(2(4(4(1(2(4(3(3(2(2(1(4(3(3(4(2(z0))))))))))))))))))), 0'(4(2(4(4(1(2(4(3(3(2(2(1(4(3(3(4(2(z0)))))))))))))))))), 4'(2(4(4(1(2(4(3(3(2(2(1(4(3(3(4(2(z0))))))))))))))))), 2'(4(4(1(2(4(3(3(2(2(1(4(3(3(4(2(z0)))))))))))))))), 4'(4(1(2(4(3(3(2(2(1(4(3(3(4(2(z0))))))))))))))), 4'(1(2(4(3(3(2(2(1(4(3(3(4(2(z0)))))))))))))), 1'(2(4(3(3(2(2(1(4(3(3(4(2(z0))))))))))))), 2'(4(3(3(2(2(1(4(3(3(4(2(z0)))))))))))), 4'(3(3(2(2(1(4(3(3(4(2(z0))))))))))), 3'(3(2(2(1(4(3(3(4(2(z0)))))))))), 3'(2(2(1(4(3(3(4(2(z0))))))))), 2'(2(1(4(3(3(4(2(z0)))))))), 2'(1(4(3(3(4(2(z0))))))), 1'(4(3(3(4(2(z0)))))), 4'(3(3(4(2(z0))))), 3'(3(4(2(z0)))), 3'(4(2(z0))), 4'(2(z0)), 2'(z0))
   4'(c_3(c_1(c_0(c_2(c_1(c_0(c_4(c_4(c_0(c_3(c_1(c_0(c_0(c_3(c_0(c_4(c_3(c_1(c_2(z0)))))))))))))))))))) -> c111(0'(1(3(4(0(2(0(0(3(0(0(3(1(2(4(3(1(1(3(2(z0)))))))))))))))))))), 1'(3(4(0(2(0(0(3(0(0(3(1(2(4(3(1(1(3(2(z0))))))))))))))))))), 3'(4(0(2(0(0(3(0(0(3(1(2(4(3(1(1(3(2(z0)))))))))))))))))), 4'(0(2(0(0(3(0(0(3(1(2(4(3(1(1(3(2(z0))))))))))))))))), 0'(2(0(0(3(0(0(3(1(2(4(3(1(1(3(2(z0)))))))))))))))), 2'(0(0(3(0(0(3(1(2(4(3(1(1(3(2(z0))))))))))))))), 0'(0(3(0(0(3(1(2(4(3(1(1(3(2(z0)))))))))))))), 0'(3(0(0(3(1(2(4(3(1(1(3(2(z0))))))))))))), 3'(0(0(3(1(2(4(3(1(1(3(2(z0)))))))))))), 0'(0(3(1(2(4(3(1(1(3(2(z0))))))))))), 0'(3(1(2(4(3(1(1(3(2(z0)))))))))), 3'(1(2(4(3(1(1(3(2(z0))))))))), 1'(2(4(3(1(1(3(2(z0)))))))), 2'(4(3(1(1(3(2(z0))))))), 4'(3(1(1(3(2(z0)))))), 3'(1(1(3(2(z0))))), 1'(1(3(2(z0)))), 1'(3(2(z0))), 3'(2(z0)), 2'(z0))
   4'(c_0(c_1(c_4(c_1(c_2(c_1(c_3(c_4(c_2(c_4(c_3(c_3(c_2(c_1(c_1(c_4(c_4(c_2(c_2(z0)))))))))))))))))))) -> c112(4'(2(3(4(2(4(1(1(1(2(0(1(1(4(0(0(1(3(2(1(z0)))))))))))))))))))), 2'(3(4(2(4(1(1(1(2(0(1(1(4(0(0(1(3(2(1(z0))))))))))))))))))), 3'(4(2(4(1(1(1(2(0(1(1(4(0(0(1(3(2(1(z0)))))))))))))))))), 4'(2(4(1(1(1(2(0(1(1(4(0(0(1(3(2(1(z0))))))))))))))))), 2'(4(1(1(1(2(0(1(1(4(0(0(1(3(2(1(z0)))))))))))))))), 4'(1(1(1(2(0(1(1(4(0(0(1(3(2(1(z0))))))))))))))), 1'(1(1(2(0(1(1(4(0(0(1(3(2(1(z0)))))))))))))), 1'(1(2(0(1(1(4(0(0(1(3(2(1(z0))))))))))))), 1'(2(0(1(1(4(0(0(1(3(2(1(z0)))))))))))), 2'(0(1(1(4(0(0(1(3(2(1(z0))))))))))), 0'(1(1(4(0(0(1(3(2(1(z0)))))))))), 1'(1(4(0(0(1(3(2(1(z0))))))))), 1'(4(0(0(1(3(2(1(z0)))))))), 4'(0(0(1(3(2(1(z0))))))), 0'(0(1(3(2(1(z0)))))), 0'(1(3(2(1(z0))))), 1'(3(2(1(z0)))), 3'(2(1(z0))), 2'(1(z0)), 1'(z0))
   4'(c_3(c_1(c_1(c_2(c_2(c_1(c_3(c_1(c_0(c_0(c_1(c_1(c_0(c_4(c_2(c_3(c_3(c_0(c_2(z0)))))))))))))))))))) -> c113(0'(3(3(1(4(1(1(2(1(2(1(3(1(3(1(4(2(2(4(2(z0)))))))))))))))))))), 3'(3(1(4(1(1(2(1(2(1(3(1(3(1(4(2(2(4(2(z0))))))))))))))))))), 3'(1(4(1(1(2(1(2(1(3(1(3(1(4(2(2(4(2(z0)))))))))))))))))), 1'(4(1(1(2(1(2(1(3(1(3(1(4(2(2(4(2(z0))))))))))))))))), 4'(1(1(2(1(2(1(3(1(3(1(4(2(2(4(2(z0)))))))))))))))), 1'(1(2(1(2(1(3(1(3(1(4(2(2(4(2(z0))))))))))))))), 1'(2(1(2(1(3(1(3(1(4(2(2(4(2(z0)))))))))))))), 2'(1(2(1(3(1(3(1(4(2(2(4(2(z0))))))))))))), 1'(2(1(3(1(3(1(4(2(2(4(2(z0)))))))))))), 2'(1(3(1(3(1(4(2(2(4(2(z0))))))))))), 1'(3(1(3(1(4(2(2(4(2(z0)))))))))), 3'(1(3(1(4(2(2(4(2(z0))))))))), 1'(3(1(4(2(2(4(2(z0)))))))), 3'(1(4(2(2(4(2(z0))))))), 1'(4(2(2(4(2(z0)))))), 4'(2(2(4(2(z0))))), 2'(2(4(2(z0)))), 2'(4(2(z0))), 4'(2(z0)), 2'(z0))
K tuples:none
Defined Rule Symbols:   1_1, 2_1, 4_1, 3_1, 0_1, encArg_1, encode_0_1, encode_1_1, encode_2_1, encode_3_1, encode_4_1

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

Compound Symbols:   c_2, c1_2, c2_2, c3_2, c4_2, c5_2, c6_2, c7_2, c8_2, c9_2, c10, c11_20, c12_20, c13_20, c14_20, c15_20, c16_20, c17_20, c18_20, c19_20, c20_20, c21_20, c22_20, c23_20, c24_20, c25_20, c26_20, c27_20, c28_20, c29_20, c30_20, c31_20, c32, c33_20, c34_20, c35_20, c36_20, c37_20, c38_20, c39_20, c40_20, c41_20, c42_20, c43_20, c44_20, c45_20, c46_20, c47_20, c48, 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_20, c72, 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_20, c94_20, c95_20, c96_20, c97, c98_20, c99_20, c100_20, c101_20, c102_20, c103_20, c104_20, c105_20, c106_20, c107_20, c108_20, c109_20, c110_20, c111_20, c112_20, c113_20


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

(39) CdtLeafRemovalProof (BOTH BOUNDS(ID, ID))
Removed 5 trailing nodes:
   4'(z0) -> c97
   1'(z0) -> c32
   3'(z0) -> c72
   2'(z0) -> c48
   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_1(c_1(c_1(c_2(c_4(c_4(c_0(c_3(c_4(c_4(c_0(c_2(c_0(c_4(c_1(c_1(c_2(c_1(z0)))))))))))))))))))) -> 3(1(4(3(2(4(3(3(4(0(0(2(0(3(1(0(1(0(1(2(z0))))))))))))))))))))
   0(c_4(c_0(c_2(c_0(c_1(c_2(c_1(c_4(c_3(c_1(c_4(c_3(c_3(c_1(c_0(c_3(c_3(c_1(c_2(z0)))))))))))))))))))) -> 2(1(0(2(2(4(0(1(4(2(3(4(0(1(2(0(2(4(4(2(z0))))))))))))))))))))
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   0(c_0(c_0(c_0(c_1(c_0(c_1(c_2(c_2(c_3(c_3(c_4(c_1(c_2(c_3(c_2(c_3(c_3(c_2(c_2(z0)))))))))))))))))))) -> 0(3(1(0(2(1(0(4(2(4(0(0(1(1(4(2(3(1(0(2(z0))))))))))))))))))))
   0(c_2(c_0(c_1(c_2(c_1(c_1(c_0(c_2(c_2(c_0(c_0(c_3(c_4(c_4(c_3(c_1(c_2(c_2(c_1(z0)))))))))))))))))))) -> 3(0(2(2(0(1(4(2(3(3(0(3(0(2(0(2(4(2(0(2(z0))))))))))))))))))))
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   0(c_2(c_0(c_0(c_0(c_4(c_0(c_3(c_1(c_2(c_2(c_4(c_4(c_3(c_3(c_2(c_2(c_2(c_3(c_2(z0)))))))))))))))))))) -> 3(1(2(2(4(0(2(3(1(3(4(0(4(1(3(2(3(1(2(1(z0))))))))))))))))))))
   0(c_1(c_1(c_1(c_0(c_4(c_1(c_0(c_1(c_2(c_1(c_0(c_1(c_4(c_1(c_1(c_2(c_4(c_4(c_2(z0)))))))))))))))))))) -> 4(4(1(2(4(0(4(1(0(1(4(2(2(2(3(1(1(4(0(2(z0))))))))))))))))))))
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   1(z0) -> c_1(z0)
   1(c_1(c_3(c_4(c_0(c_1(c_4(c_2(c_0(c_3(c_4(c_4(c_0(c_0(c_3(c_0(c_1(c_2(c_3(c_2(z0)))))))))))))))))))) -> 3(0(4(1(1(4(0(4(1(2(1(4(2(0(4(4(3(3(2(2(z0))))))))))))))))))))
   1(c_0(c_3(c_0(c_0(c_0(c_2(c_3(c_3(c_0(c_4(c_4(c_4(c_0(c_3(c_1(c_1(c_1(c_2(c_1(z0)))))))))))))))))))) -> 0(3(2(2(4(3(3(1(0(0(3(3(1(0(3(3(4(4(2(2(z0))))))))))))))))))))
   1(c_2(c_0(c_4(c_1(c_4(c_3(c_0(c_0(c_0(c_3(c_2(c_4(c_4(c_1(c_3(c_0(c_2(c_3(c_2(z0)))))))))))))))))))) -> 1(3(2(2(0(3(2(0(0(2(4(0(1(4(2(0(2(0(1(2(z0))))))))))))))))))))
   1(c_0(c_2(c_1(c_3(c_2(c_3(c_1(c_3(c_3(c_4(c_1(c_3(c_2(c_2(c_0(c_1(c_2(c_3(c_2(z0)))))))))))))))))))) -> 3(3(4(0(4(0(1(0(4(0(1(1(4(4(1(3(3(2(0(2(z0))))))))))))))))))))
   1(c_1(c_2(c_3(c_0(c_3(c_4(c_2(c_1(c_2(c_4(c_0(c_3(c_2(c_3(c_4(c_4(c_4(c_3(c_2(z0)))))))))))))))))))) -> 3(4(2(1(1(1(4(4(0(0(0(3(0(4(1(4(3(2(4(2(z0))))))))))))))))))))
   1(c_0(c_3(c_4(c_4(c_4(c_4(c_4(c_1(c_3(c_0(c_1(c_2(c_0(c_2(c_0(c_1(c_1(c_3(c_2(z0)))))))))))))))))))) -> 0(1(3(2(1(3(4(1(4(2(4(0(2(4(2(3(0(0(2(1(z0))))))))))))))))))))
   1(c_2(c_3(c_4(c_2(c_4(c_2(c_3(c_2(c_0(c_2(c_1(c_0(c_2(c_2(c_0(c_4(c_2(c_0(c_2(z0)))))))))))))))))))) -> 1(1(1(4(0(4(4(0(0(0(2(1(3(4(0(2(4(0(0(2(z0))))))))))))))))))))
   1(c_3(c_3(c_1(c_0(c_0(c_1(c_1(c_3(c_2(c_3(c_0(c_0(c_0(c_1(c_1(c_1(c_1(c_0(c_2(z0)))))))))))))))))))) -> 1(3(0(4(1(1(4(3(4(2(4(4(3(3(3(2(0(2(2(1(z0))))))))))))))))))))
   1(c_0(c_4(c_1(c_4(c_1(c_2(c_2(c_0(c_0(c_0(c_4(c_0(c_1(c_1(c_2(c_3(c_3(c_3(c_2(z0)))))))))))))))))))) -> 2(2(2(2(4(0(2(3(1(0(2(2(1(4(0(4(1(1(1(2(z0))))))))))))))))))))
   1(c_2(c_2(c_1(c_0(c_3(c_2(c_4(c_4(c_1(c_4(c_0(c_0(c_0(c_3(c_1(c_3(c_3(c_2(c_1(z0)))))))))))))))))))) -> 1(4(0(0(3(1(2(0(0(3(0(1(4(4(3(2(4(2(1(1(z0))))))))))))))))))))
   1(c_4(c_1(c_3(c_1(c_1(c_0(c_0(c_0(c_0(c_4(c_3(c_0(c_0(c_2(c_0(c_2(c_1(c_1(c_1(z0)))))))))))))))))))) -> 2(1(4(2(0(0(3(3(4(3(0(2(4(1(0(2(4(4(2(1(z0))))))))))))))))))))
   1(c_2(c_4(c_4(c_4(c_3(c_1(c_0(c_0(c_2(c_0(c_0(c_4(c_0(c_4(c_4(c_3(c_1(c_0(c_2(z0)))))))))))))))))))) -> 1(2(4(3(0(1(1(0(0(2(0(1(1(3(2(1(4(1(0(2(z0))))))))))))))))))))
   1(c_3(c_0(c_1(c_3(c_2(c_0(c_4(c_0(c_2(c_0(c_4(c_2(c_0(c_4(c_0(c_2(c_4(c_0(c_2(z0)))))))))))))))))))) -> 4(3(0(3(2(2(1(3(4(0(1(0(1(2(0(1(1(4(4(2(z0))))))))))))))))))))
   1(c_1(c_0(c_3(c_4(c_3(c_2(c_3(c_2(c_3(c_4(c_3(c_2(c_1(c_4(c_4(c_2(c_3(c_0(c_2(z0)))))))))))))))))))) -> 0(3(0(3(4(0(0(1(0(2(1(2(4(0(3(0(3(0(2(2(z0))))))))))))))))))))
   1(c_4(c_0(c_2(c_3(c_0(c_0(c_4(c_4(c_1(c_0(c_0(c_1(c_0(c_2(c_2(c_1(c_1(c_3(c_2(z0)))))))))))))))))))) -> 4(2(4(1(4(0(3(0(4(3(0(3(3(1(3(0(2(1(2(1(z0))))))))))))))))))))
   2(z0) -> c_2(z0)
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   2(c_0(c_4(c_4(c_0(c_3(c_3(c_2(c_4(c_0(c_1(c_4(c_2(c_4(c_4(c_4(c_2(c_2(c_2(c_2(z0)))))))))))))))))))) -> 0(2(2(0(1(0(4(3(0(2(4(2(2(4(3(3(1(3(1(2(z0))))))))))))))))))))
   2(c_3(c_2(c_0(c_0(c_1(c_0(c_3(c_3(c_1(c_4(c_1(c_3(c_0(c_0(c_3(c_2(c_3(c_4(c_2(z0)))))))))))))))))))) -> 1(2(4(4(0(1(1(4(4(4(2(2(4(4(3(2(0(3(4(2(z0))))))))))))))))))))
   2(c_3(c_4(c_2(c_2(c_3(c_3(c_4(c_3(c_2(c_0(c_2(c_1(c_0(c_2(c_1(c_4(c_1(c_3(c_2(z0)))))))))))))))))))) -> 1(4(0(4(1(3(1(1(1(1(3(0(1(0(4(1(4(2(1(1(z0))))))))))))))))))))
   2(c_1(c_2(c_3(c_3(c_2(c_2(c_1(c_2(c_3(c_3(c_2(c_0(c_4(c_3(c_4(c_1(c_0(c_1(c_2(z0)))))))))))))))))))) -> 3(4(1(4(0(2(0(1(2(0(4(4(1(0(2(4(1(1(1(2(z0))))))))))))))))))))
   2(c_1(c_0(c_1(c_0(c_4(c_2(c_1(c_1(c_1(c_3(c_0(c_4(c_2(c_2(c_0(c_2(c_3(c_2(c_2(z0)))))))))))))))))))) -> 3(2(0(3(1(3(1(2(1(2(1(1(1(3(1(1(4(1(3(2(z0))))))))))))))))))))
   2(c_2(c_2(c_1(c_4(c_3(c_0(c_3(c_2(c_4(c_0(c_4(c_0(c_4(c_1(c_0(c_4(c_2(c_2(c_1(z0)))))))))))))))))))) -> 1(1(4(2(4(4(2(1(2(0(3(2(1(4(3(1(3(2(4(2(z0))))))))))))))))))))
   2(c_4(c_2(c_0(c_3(c_2(c_2(c_4(c_4(c_3(c_0(c_1(c_0(c_3(c_2(c_3(c_2(c_2(c_4(c_2(z0)))))))))))))))))))) -> 3(0(4(0(2(4(1(0(3(2(3(0(0(2(4(2(4(1(0(2(z0))))))))))))))))))))
   2(c_0(c_1(c_2(c_0(c_1(c_3(c_2(c_2(c_0(c_4(c_3(c_2(c_2(c_4(c_3(c_0(c_1(c_2(c_1(z0)))))))))))))))))))) -> 0(2(2(4(1(4(4(3(1(1(2(4(3(1(2(0(1(2(1(2(z0))))))))))))))))))))
   2(c_1(c_0(c_3(c_1(c_4(c_4(c_0(c_4(c_3(c_0(c_4(c_3(c_3(c_4(c_1(c_2(c_3(c_4(c_2(z0)))))))))))))))))))) -> 1(4(1(4(4(2(2(0(2(3(1(0(1(3(0(0(2(0(2(1(z0))))))))))))))))))))
   2(c_1(c_3(c_4(c_1(c_3(c_3(c_4(c_2(c_0(c_0(c_1(c_0(c_1(c_2(c_0(c_1(c_0(c_4(c_2(z0)))))))))))))))))))) -> 2(1(1(2(1(1(0(1(4(0(1(3(2(1(2(4(0(1(2(2(z0))))))))))))))))))))
   2(c_0(c_1(c_2(c_0(c_1(c_0(c_1(c_0(c_4(c_3(c_1(c_4(c_4(c_4(c_0(c_2(c_3(c_3(c_2(z0)))))))))))))))))))) -> 4(1(0(0(1(3(2(0(2(4(1(0(4(0(2(0(3(0(2(2(z0))))))))))))))))))))
   2(c_4(c_0(c_4(c_3(c_1(c_2(c_1(c_2(c_2(c_3(c_0(c_1(c_0(c_1(c_3(c_1(c_3(c_3(c_2(z0)))))))))))))))))))) -> 0(2(4(4(1(4(1(4(2(2(2(4(3(3(3(1(1(0(1(2(z0))))))))))))))))))))
   2(c_0(c_1(c_1(c_0(c_0(c_4(c_2(c_3(c_1(c_0(c_2(c_3(c_0(c_3(c_4(c_0(c_3(c_3(c_2(z0)))))))))))))))))))) -> 3(4(1(3(2(0(3(0(4(1(2(4(0(4(4(1(3(2(0(2(z0))))))))))))))))))))
   2(c_2(c_1(c_0(c_1(c_1(c_2(c_0(c_2(c_2(c_0(c_2(c_2(c_1(c_3(c_0(c_4(c_4(c_1(c_2(z0)))))))))))))))))))) -> 1(2(1(2(4(0(2(1(2(0(3(1(1(2(2(4(4(3(1(2(z0))))))))))))))))))))
   2(c_1(c_2(c_3(c_4(c_4(c_0(c_2(c_3(c_2(c_0(c_3(c_2(c_4(c_4(c_4(c_2(c_4(c_2(c_2(z0)))))))))))))))))))) -> 1(1(3(3(1(3(3(2(2(1(4(1(2(2(4(1(2(2(3(2(z0))))))))))))))))))))
   2(c_0(c_4(c_3(c_4(c_0(c_2(c_1(c_3(c_2(c_0(c_3(c_2(c_0(c_1(c_0(c_4(c_4(c_2(c_2(z0)))))))))))))))))))) -> 4(0(3(2(4(0(1(1(2(4(0(4(4(0(4(2(3(2(2(2(z0))))))))))))))))))))
   2(c_0(c_4(c_4(c_2(c_1(c_3(c_3(c_3(c_2(c_0(c_0(c_2(c_3(c_3(c_1(c_4(c_2(c_3(c_2(z0)))))))))))))))))))) -> 0(0(2(1(2(1(2(0(2(4(1(4(1(3(0(1(2(0(3(2(z0))))))))))))))))))))
   2(c_4(c_0(c_3(c_4(c_1(c_1(c_4(c_0(c_2(c_2(c_2(c_3(c_4(c_4(c_3(c_3(c_3(c_0(c_2(z0)))))))))))))))))))) -> 0(1(0(0(1(1(4(3(3(0(4(2(4(1(1(3(2(2(2(2(z0))))))))))))))))))))
   2(c_0(c_0(c_1(c_2(c_3(c_2(c_3(c_0(c_1(c_2(c_4(c_2(c_2(c_1(c_0(c_0(c_3(c_2(c_1(z0)))))))))))))))))))) -> 2(4(0(1(1(2(3(0(0(4(3(0(1(0(4(2(4(3(4(2(z0))))))))))))))))))))
   2(c_0(c_2(c_1(c_3(c_3(c_4(c_0(c_1(c_1(c_2(c_0(c_3(c_1(c_3(c_0(c_1(c_2(c_1(c_2(z0)))))))))))))))))))) -> 2(2(2(0(1(1(4(3(2(0(2(3(3(3(1(1(2(2(4(2(z0))))))))))))))))))))
   2(c_2(c_1(c_2(c_3(c_3(c_2(c_0(c_3(c_0(c_2(c_0(c_4(c_2(c_4(c_1(c_2(c_3(c_0(c_2(z0)))))))))))))))))))) -> 0(4(1(0(2(2(1(0(3(3(4(2(1(4(1(2(1(4(1(2(z0))))))))))))))))))))
   2(c_1(c_2(c_0(c_3(c_1(c_4(c_2(c_3(c_0(c_1(c_1(c_4(c_4(c_2(c_0(c_4(c_3(c_2(c_1(z0)))))))))))))))))))) -> 1(2(3(4(0(1(4(3(1(1(1(4(1(4(0(0(2(1(4(2(z0))))))))))))))))))))
   3(z0) -> c_3(z0)
   3(c_0(c_2(c_3(c_3(c_2(c_0(c_2(c_0(c_1(c_2(c_4(c_3(c_3(c_1(c_4(c_4(c_0(c_2(c_1(z0)))))))))))))))))))) -> 2(0(2(1(1(1(3(3(0(4(2(4(3(0(1(1(1(4(1(2(z0))))))))))))))))))))
   3(c_2(c_1(c_1(c_1(c_4(c_2(c_4(c_0(c_3(c_1(c_3(c_0(c_2(c_3(c_0(c_4(c_0(c_3(c_2(z0)))))))))))))))))))) -> 3(0(3(0(4(3(2(2(1(1(4(4(4(3(0(2(4(2(2(2(z0))))))))))))))))))))
   3(c_3(c_0(c_2(c_0(c_0(c_1(c_3(c_0(c_2(c_2(c_2(c_4(c_0(c_3(c_1(c_1(c_0(c_0(c_2(z0)))))))))))))))))))) -> 4(0(2(1(3(2(4(0(1(4(1(1(0(2(0(0(2(2(4(2(z0))))))))))))))))))))
   3(c_1(c_0(c_2(c_3(c_2(c_2(c_4(c_3(c_0(c_2(c_0(c_4(c_2(c_1(c_0(c_2(c_1(c_1(c_1(z0)))))))))))))))))))) -> 1(4(0(1(0(4(1(1(3(4(3(2(4(4(3(2(1(1(2(2(z0))))))))))))))))))))
   3(c_3(c_0(c_4(c_4(c_2(c_4(c_0(c_4(c_0(c_4(c_2(c_0(c_2(c_2(c_2(c_4(c_0(c_3(c_2(z0)))))))))))))))))))) -> 0(1(0(1(1(1(4(4(0(1(3(2(2(4(1(4(3(4(2(2(z0))))))))))))))))))))
   3(c_2(c_3(c_3(c_3(c_4(c_1(c_2(c_1(c_2(c_1(c_2(c_1(c_3(c_1(c_1(c_0(c_1(c_4(c_2(z0)))))))))))))))))))) -> 3(0(1(0(0(4(4(4(4(2(4(4(4(3(0(0(2(1(4(2(z0))))))))))))))))))))
   3(c_2(c_1(c_0(c_4(c_1(c_2(c_2(c_0(c_3(c_4(c_3(c_2(c_3(c_4(c_1(c_4(c_0(c_1(c_2(z0)))))))))))))))))))) -> 0(2(4(3(3(2(4(3(3(3(1(2(2(3(4(3(4(3(4(2(z0))))))))))))))))))))
   3(c_2(c_4(c_3(c_2(c_2(c_0(c_2(c_3(c_4(c_0(c_1(c_0(c_4(c_3(c_0(c_3(c_0(c_4(c_2(z0)))))))))))))))))))) -> 0(1(2(0(4(2(3(1(4(0(1(1(0(0(1(1(0(1(1(2(z0))))))))))))))))))))
   3(c_1(c_1(c_2(c_4(c_3(c_1(c_2(c_3(c_0(c_1(c_1(c_1(c_2(c_2(c_3(c_1(c_1(c_3(c_2(z0)))))))))))))))))))) -> 4(0(0(1(3(0(1(1(2(4(2(4(3(4(1(4(0(0(0(2(z0))))))))))))))))))))
   3(c_1(c_1(c_1(c_3(c_3(c_0(c_1(c_3(c_4(c_4(c_2(c_2(c_3(c_1(c_3(c_3(c_4(c_1(c_2(z0)))))))))))))))))))) -> 1(4(1(1(2(1(1(3(4(1(4(2(0(0(2(2(3(2(2(2(z0))))))))))))))))))))
   3(c_0(c_4(c_3(c_2(c_3(c_3(c_2(c_3(c_0(c_1(c_0(c_1(c_0(c_1(c_3(c_1(c_4(c_2(c_1(z0)))))))))))))))))))) -> 4(1(3(2(1(4(1(0(1(3(3(1(4(4(0(4(2(1(1(2(z0))))))))))))))))))))
   3(c_4(c_2(c_2(c_4(c_4(c_0(c_3(c_1(c_4(c_1(c_0(c_4(c_0(c_1(c_0(c_2(c_1(c_0(c_2(z0)))))))))))))))))))) -> 0(2(4(1(2(0(3(0(2(3(4(1(1(4(0(3(3(2(4(2(z0))))))))))))))))))))
   3(c_3(c_3(c_4(c_1(c_1(c_4(c_2(c_3(c_0(c_3(c_4(c_4(c_1(c_2(c_3(c_4(c_1(c_4(c_2(z0)))))))))))))))))))) -> 0(2(4(3(1(2(3(4(1(2(0(1(1(3(3(4(1(0(1(2(z0))))))))))))))))))))
   3(c_4(c_0(c_2(c_2(c_1(c_1(c_0(c_3(c_3(c_1(c_3(c_2(c_2(c_2(c_1(c_1(c_2(c_0(c_2(z0)))))))))))))))))))) -> 3(0(2(3(4(2(0(2(1(4(0(3(3(2(4(1(2(4(1(2(z0))))))))))))))))))))
   3(c_4(c_4(c_2(c_1(c_1(c_4(c_3(c_4(c_3(c_0(c_3(c_3(c_3(c_2(c_2(c_0(c_3(c_1(c_2(z0)))))))))))))))))))) -> 2(4(0(3(2(3(1(4(3(2(2(2(0(1(0(2(3(2(3(2(z0))))))))))))))))))))
   3(c_2(c_0(c_3(c_4(c_3(c_1(c_1(c_3(c_2(c_0(c_3(c_0(c_0(c_0(c_1(c_4(c_2(c_4(c_1(z0)))))))))))))))))))) -> 3(3(2(0(2(4(3(0(0(3(3(0(1(2(4(1(0(0(2(1(z0))))))))))))))))))))
   3(c_3(c_3(c_1(c_3(c_4(c_3(c_0(c_3(c_1(c_3(c_2(c_2(c_4(c_0(c_3(c_4(c_2(c_0(c_2(z0)))))))))))))))))))) -> 4(0(4(1(0(2(4(3(4(2(3(2(3(3(3(0(1(0(4(2(z0))))))))))))))))))))
   3(c_0(c_3(c_0(c_0(c_0(c_2(c_0(c_1(c_2(c_2(c_4(c_0(c_1(c_2(c_0(c_3(c_2(c_2(c_2(z0)))))))))))))))))))) -> 4(4(2(4(4(2(4(1(4(4(2(0(3(2(1(4(4(2(4(2(z0))))))))))))))))))))
   3(c_2(c_0(c_1(c_4(c_3(c_0(c_2(c_0(c_2(c_2(c_3(c_0(c_1(c_4(c_2(c_1(c_1(c_1(c_2(z0)))))))))))))))))))) -> 0(3(1(2(2(2(4(0(3(0(0(3(2(4(4(2(4(3(2(1(z0))))))))))))))))))))
   3(c_1(c_1(c_2(c_0(c_3(c_2(c_0(c_4(c_0(c_0(c_4(c_3(c_4(c_3(c_1(c_1(c_2(c_1(c_1(z0)))))))))))))))))))) -> 4(2(0(1(2(4(3(4(4(3(3(3(1(1(3(0(4(3(4(2(z0))))))))))))))))))))
   3(c_3(c_3(c_2(c_1(c_1(c_3(c_3(c_4(c_2(c_4(c_3(c_2(c_2(c_0(c_3(c_0(c_4(c_2(c_2(z0)))))))))))))))))))) -> 1(3(4(2(4(4(4(3(2(4(4(0(3(3(4(0(4(2(2(1(z0))))))))))))))))))))
   3(c_0(c_1(c_2(c_3(c_0(c_1(c_2(c_2(c_2(c_0(c_2(c_3(c_3(c_3(c_4(c_3(c_3(c_2(c_1(z0)))))))))))))))))))) -> 0(2(3(1(3(1(0(1(2(1(1(1(1(3(3(4(4(0(3(2(z0))))))))))))))))))))
   3(c_2(c_3(c_1(c_0(c_1(c_4(c_2(c_4(c_3(c_1(c_0(c_4(c_1(c_4(c_3(c_3(c_1(c_0(c_2(z0)))))))))))))))))))) -> 0(0(1(2(2(0(4(4(4(1(0(2(4(1(4(4(0(1(1(2(z0))))))))))))))))))))
   3(c_1(c_3(c_2(c_2(c_4(c_1(c_0(c_3(c_1(c_3(c_0(c_2(c_0(c_0(c_0(c_3(c_3(c_2(c_1(z0)))))))))))))))))))) -> 1(3(0(2(1(3(2(1(4(2(2(2(3(4(4(0(2(4(3(2(z0))))))))))))))))))))
   4(z0) -> c_4(z0)
   4(c_2(c_3(c_0(c_3(c_4(c_1(c_1(c_1(c_1(c_0(c_4(c_1(c_1(c_1(c_3(c_4(c_4(c_2(c_2(z0)))))))))))))))))))) -> 2(0(3(3(2(4(4(2(1(1(4(1(1(0(0(2(4(0(0(2(z0))))))))))))))))))))
   4(c_1(c_1(c_3(c_2(c_3(c_0(c_3(c_3(c_3(c_4(c_2(c_4(c_4(c_4(c_1(c_0(c_2(c_0(c_2(z0)))))))))))))))))))) -> 4(4(4(4(1(0(0(3(1(4(0(4(4(0(3(0(1(3(2(2(z0))))))))))))))))))))
   4(c_2(c_1(c_1(c_0(c_1(c_0(c_0(c_2(c_0(c_3(c_2(c_1(c_0(c_0(c_3(c_0(c_1(c_2(c_2(z0)))))))))))))))))))) -> 0(0(4(1(0(1(4(2(4(1(0(0(0(1(4(1(3(3(2(1(z0))))))))))))))))))))
   4(c_3(c_0(c_3(c_2(c_3(c_0(c_4(c_3(c_1(c_3(c_4(c_2(c_0(c_3(c_4(c_3(c_2(c_2(c_1(z0)))))))))))))))))))) -> 0(3(4(3(3(2(4(1(0(0(1(0(0(2(0(3(2(0(2(2(z0))))))))))))))))))))
   4(c_0(c_1(c_3(c_3(c_2(c_4(c_3(c_3(c_2(c_0(c_0(c_1(c_2(c_3(c_4(c_2(c_3(c_3(c_2(z0)))))))))))))))))))) -> 2(4(3(0(3(0(1(4(2(1(4(3(2(1(3(2(3(1(2(2(z0))))))))))))))))))))
   4(c_4(c_3(c_1(c_1(c_3(c_4(c_3(c_2(c_3(c_1(c_1(c_0(c_0(c_0(c_0(c_0(c_0(c_2(c_1(z0)))))))))))))))))))) -> 0(4(0(1(3(0(2(4(3(1(2(2(3(2(0(0(4(4(1(2(z0))))))))))))))))))))
   4(c_4(c_3(c_3(c_4(c_0(c_1(c_0(c_1(c_4(c_0(c_0(c_2(c_3(c_3(c_4(c_0(c_0(c_2(c_1(z0)))))))))))))))))))) -> 1(0(1(2(0(1(1(1(1(2(0(0(1(4(3(2(2(4(3(2(z0))))))))))))))))))))
   4(c_3(c_3(c_0(c_2(c_4(c_1(c_2(c_2(c_3(c_0(c_0(c_2(c_0(c_0(c_1(c_0(c_3(c_1(c_2(z0)))))))))))))))))))) -> 4(0(2(3(1(1(4(3(3(1(1(4(0(2(3(2(2(0(1(2(z0))))))))))))))))))))
   4(c_3(c_4(c_0(c_2(c_4(c_3(c_2(c_3(c_3(c_1(c_3(c_3(c_4(c_2(c_4(c_0(c_4(c_1(c_2(z0)))))))))))))))))))) -> 4(4(3(4(1(0(4(4(3(0(2(1(4(2(1(1(4(4(1(2(z0))))))))))))))))))))
   4(c_4(c_2(c_4(c_0(c_0(c_2(c_3(c_4(c_3(c_3(c_1(c_4(c_2(c_2(c_3(c_1(c_0(c_2(c_1(z0)))))))))))))))))))) -> 4(4(1(4(4(4(1(1(4(0(2(3(2(3(1(2(2(1(2(1(z0))))))))))))))))))))
   4(c_1(c_3(c_4(c_3(c_2(c_2(c_1(c_1(c_2(c_3(c_0(c_4(c_1(c_1(c_3(c_4(c_3(c_4(c_2(z0)))))))))))))))))))) -> 2(4(2(1(1(4(0(2(3(0(0(4(2(4(4(0(3(3(1(2(z0))))))))))))))))))))
   4(c_1(c_0(c_2(c_0(c_0(c_0(c_2(c_3(c_4(c_0(c_4(c_2(c_0(c_2(c_0(c_3(c_4(c_3(c_2(z0)))))))))))))))))))) -> 2(1(1(1(4(2(2(0(0(4(1(2(2(2(0(0(2(4(0(2(z0))))))))))))))))))))
   4(c_1(c_1(c_4(c_4(c_0(c_1(c_2(c_1(c_0(c_0(c_4(c_4(c_2(c_3(c_3(c_3(c_1(c_3(c_2(z0)))))))))))))))))))) -> 3(1(0(4(2(4(4(1(2(4(3(3(2(2(1(4(3(3(4(2(z0))))))))))))))))))))
   4(c_3(c_1(c_0(c_2(c_1(c_0(c_4(c_4(c_0(c_3(c_1(c_0(c_0(c_3(c_0(c_4(c_3(c_1(c_2(z0)))))))))))))))))))) -> 0(1(3(4(0(2(0(0(3(0(0(3(1(2(4(3(1(1(3(2(z0))))))))))))))))))))
   4(c_0(c_1(c_4(c_1(c_2(c_1(c_3(c_4(c_2(c_4(c_3(c_3(c_2(c_1(c_1(c_4(c_4(c_2(c_2(z0)))))))))))))))))))) -> 4(2(3(4(2(4(1(1(1(2(0(1(1(4(0(0(1(3(2(1(z0))))))))))))))))))))
   4(c_3(c_1(c_1(c_2(c_2(c_1(c_3(c_1(c_0(c_0(c_1(c_1(c_0(c_4(c_2(c_3(c_3(c_0(c_2(z0)))))))))))))))))))) -> 0(3(3(1(4(1(1(2(1(2(1(3(1(3(1(4(2(2(4(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_1(c_1(c_1(c_2(c_4(c_4(c_0(c_3(c_4(c_4(c_0(c_2(c_0(c_4(c_1(c_1(c_2(c_1(z0)))))))))))))))))))) -> c11(3'(1(4(3(2(4(3(3(4(0(0(2(0(3(1(0(1(0(1(2(z0)))))))))))))))))))), 1'(4(3(2(4(3(3(4(0(0(2(0(3(1(0(1(0(1(2(z0))))))))))))))))))), 4'(3(2(4(3(3(4(0(0(2(0(3(1(0(1(0(1(2(z0)))))))))))))))))), 3'(2(4(3(3(4(0(0(2(0(3(1(0(1(0(1(2(z0))))))))))))))))), 2'(4(3(3(4(0(0(2(0(3(1(0(1(0(1(2(z0)))))))))))))))), 4'(3(3(4(0(0(2(0(3(1(0(1(0(1(2(z0))))))))))))))), 3'(3(4(0(0(2(0(3(1(0(1(0(1(2(z0)))))))))))))), 3'(4(0(0(2(0(3(1(0(1(0(1(2(z0))))))))))))), 4'(0(0(2(0(3(1(0(1(0(1(2(z0)))))))))))), 0'(0(2(0(3(1(0(1(0(1(2(z0))))))))))), 0'(2(0(3(1(0(1(0(1(2(z0)))))))))), 2'(0(3(1(0(1(0(1(2(z0))))))))), 0'(3(1(0(1(0(1(2(z0)))))))), 3'(1(0(1(0(1(2(z0))))))), 1'(0(1(0(1(2(z0)))))), 0'(1(0(1(2(z0))))), 1'(0(1(2(z0)))), 0'(1(2(z0))), 1'(2(z0)), 2'(z0))
   0'(c_4(c_0(c_2(c_0(c_1(c_2(c_1(c_4(c_3(c_1(c_4(c_3(c_3(c_1(c_0(c_3(c_3(c_1(c_2(z0)))))))))))))))))))) -> c12(2'(1(0(2(2(4(0(1(4(2(3(4(0(1(2(0(2(4(4(2(z0)))))))))))))))))))), 1'(0(2(2(4(0(1(4(2(3(4(0(1(2(0(2(4(4(2(z0))))))))))))))))))), 0'(2(2(4(0(1(4(2(3(4(0(1(2(0(2(4(4(2(z0)))))))))))))))))), 2'(2(4(0(1(4(2(3(4(0(1(2(0(2(4(4(2(z0))))))))))))))))), 2'(4(0(1(4(2(3(4(0(1(2(0(2(4(4(2(z0)))))))))))))))), 4'(0(1(4(2(3(4(0(1(2(0(2(4(4(2(z0))))))))))))))), 0'(1(4(2(3(4(0(1(2(0(2(4(4(2(z0)))))))))))))), 1'(4(2(3(4(0(1(2(0(2(4(4(2(z0))))))))))))), 4'(2(3(4(0(1(2(0(2(4(4(2(z0)))))))))))), 2'(3(4(0(1(2(0(2(4(4(2(z0))))))))))), 3'(4(0(1(2(0(2(4(4(2(z0)))))))))), 4'(0(1(2(0(2(4(4(2(z0))))))))), 0'(1(2(0(2(4(4(2(z0)))))))), 1'(2(0(2(4(4(2(z0))))))), 2'(0(2(4(4(2(z0)))))), 0'(2(4(4(2(z0))))), 2'(4(4(2(z0)))), 4'(4(2(z0))), 4'(2(z0)), 2'(z0))
   0'(c_1(c_3(c_3(c_3(c_3(c_0(c_1(c_1(c_2(c_0(c_0(c_4(c_4(c_4(c_3(c_1(c_0(c_0(c_2(z0)))))))))))))))))))) -> c13(2'(0(2(4(0(2(3(4(2(0(1(0(0(3(4(3(4(0(3(2(z0)))))))))))))))))))), 0'(2(4(0(2(3(4(2(0(1(0(0(3(4(3(4(0(3(2(z0))))))))))))))))))), 2'(4(0(2(3(4(2(0(1(0(0(3(4(3(4(0(3(2(z0)))))))))))))))))), 4'(0(2(3(4(2(0(1(0(0(3(4(3(4(0(3(2(z0))))))))))))))))), 0'(2(3(4(2(0(1(0(0(3(4(3(4(0(3(2(z0)))))))))))))))), 2'(3(4(2(0(1(0(0(3(4(3(4(0(3(2(z0))))))))))))))), 3'(4(2(0(1(0(0(3(4(3(4(0(3(2(z0)))))))))))))), 4'(2(0(1(0(0(3(4(3(4(0(3(2(z0))))))))))))), 2'(0(1(0(0(3(4(3(4(0(3(2(z0)))))))))))), 0'(1(0(0(3(4(3(4(0(3(2(z0))))))))))), 1'(0(0(3(4(3(4(0(3(2(z0)))))))))), 0'(0(3(4(3(4(0(3(2(z0))))))))), 0'(3(4(3(4(0(3(2(z0)))))))), 3'(4(3(4(0(3(2(z0))))))), 4'(3(4(0(3(2(z0)))))), 3'(4(0(3(2(z0))))), 4'(0(3(2(z0)))), 0'(3(2(z0))), 3'(2(z0)), 2'(z0))
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   4'(c_3(c_4(c_0(c_2(c_4(c_3(c_2(c_3(c_3(c_1(c_3(c_3(c_4(c_2(c_4(c_0(c_4(c_1(c_2(z0)))))))))))))))))))) -> c106(4'(4(3(4(1(0(4(4(3(0(2(1(4(2(1(1(4(4(1(2(z0)))))))))))))))))))), 4'(3(4(1(0(4(4(3(0(2(1(4(2(1(1(4(4(1(2(z0))))))))))))))))))), 3'(4(1(0(4(4(3(0(2(1(4(2(1(1(4(4(1(2(z0)))))))))))))))))), 4'(1(0(4(4(3(0(2(1(4(2(1(1(4(4(1(2(z0))))))))))))))))), 1'(0(4(4(3(0(2(1(4(2(1(1(4(4(1(2(z0)))))))))))))))), 0'(4(4(3(0(2(1(4(2(1(1(4(4(1(2(z0))))))))))))))), 4'(4(3(0(2(1(4(2(1(1(4(4(1(2(z0)))))))))))))), 4'(3(0(2(1(4(2(1(1(4(4(1(2(z0))))))))))))), 3'(0(2(1(4(2(1(1(4(4(1(2(z0)))))))))))), 0'(2(1(4(2(1(1(4(4(1(2(z0))))))))))), 2'(1(4(2(1(1(4(4(1(2(z0)))))))))), 1'(4(2(1(1(4(4(1(2(z0))))))))), 4'(2(1(1(4(4(1(2(z0)))))))), 2'(1(1(4(4(1(2(z0))))))), 1'(1(4(4(1(2(z0)))))), 1'(4(4(1(2(z0))))), 4'(4(1(2(z0)))), 4'(1(2(z0))), 1'(2(z0)), 2'(z0))
   4'(c_4(c_2(c_4(c_0(c_0(c_2(c_3(c_4(c_3(c_3(c_1(c_4(c_2(c_2(c_3(c_1(c_0(c_2(c_1(z0)))))))))))))))))))) -> c107(4'(4(1(4(4(4(1(1(4(0(2(3(2(3(1(2(2(1(2(1(z0)))))))))))))))))))), 4'(1(4(4(4(1(1(4(0(2(3(2(3(1(2(2(1(2(1(z0))))))))))))))))))), 1'(4(4(4(1(1(4(0(2(3(2(3(1(2(2(1(2(1(z0)))))))))))))))))), 4'(4(4(1(1(4(0(2(3(2(3(1(2(2(1(2(1(z0))))))))))))))))), 4'(4(1(1(4(0(2(3(2(3(1(2(2(1(2(1(z0)))))))))))))))), 4'(1(1(4(0(2(3(2(3(1(2(2(1(2(1(z0))))))))))))))), 1'(1(4(0(2(3(2(3(1(2(2(1(2(1(z0)))))))))))))), 1'(4(0(2(3(2(3(1(2(2(1(2(1(z0))))))))))))), 4'(0(2(3(2(3(1(2(2(1(2(1(z0)))))))))))), 0'(2(3(2(3(1(2(2(1(2(1(z0))))))))))), 2'(3(2(3(1(2(2(1(2(1(z0)))))))))), 3'(2(3(1(2(2(1(2(1(z0))))))))), 2'(3(1(2(2(1(2(1(z0)))))))), 3'(1(2(2(1(2(1(z0))))))), 1'(2(2(1(2(1(z0)))))), 2'(2(1(2(1(z0))))), 2'(1(2(1(z0)))), 1'(2(1(z0))), 2'(1(z0)), 1'(z0))
   4'(c_1(c_3(c_4(c_3(c_2(c_2(c_1(c_1(c_2(c_3(c_0(c_4(c_1(c_1(c_3(c_4(c_3(c_4(c_2(z0)))))))))))))))))))) -> c108(2'(4(2(1(1(4(0(2(3(0(0(4(2(4(4(0(3(3(1(2(z0)))))))))))))))))))), 4'(2(1(1(4(0(2(3(0(0(4(2(4(4(0(3(3(1(2(z0))))))))))))))))))), 2'(1(1(4(0(2(3(0(0(4(2(4(4(0(3(3(1(2(z0)))))))))))))))))), 1'(1(4(0(2(3(0(0(4(2(4(4(0(3(3(1(2(z0))))))))))))))))), 1'(4(0(2(3(0(0(4(2(4(4(0(3(3(1(2(z0)))))))))))))))), 4'(0(2(3(0(0(4(2(4(4(0(3(3(1(2(z0))))))))))))))), 0'(2(3(0(0(4(2(4(4(0(3(3(1(2(z0)))))))))))))), 2'(3(0(0(4(2(4(4(0(3(3(1(2(z0))))))))))))), 3'(0(0(4(2(4(4(0(3(3(1(2(z0)))))))))))), 0'(0(4(2(4(4(0(3(3(1(2(z0))))))))))), 0'(4(2(4(4(0(3(3(1(2(z0)))))))))), 4'(2(4(4(0(3(3(1(2(z0))))))))), 2'(4(4(0(3(3(1(2(z0)))))))), 4'(4(0(3(3(1(2(z0))))))), 4'(0(3(3(1(2(z0)))))), 0'(3(3(1(2(z0))))), 3'(3(1(2(z0)))), 3'(1(2(z0))), 1'(2(z0)), 2'(z0))
   4'(c_1(c_0(c_2(c_0(c_0(c_0(c_2(c_3(c_4(c_0(c_4(c_2(c_0(c_2(c_0(c_3(c_4(c_3(c_2(z0)))))))))))))))))))) -> c109(2'(1(1(1(4(2(2(0(0(4(1(2(2(2(0(0(2(4(0(2(z0)))))))))))))))))))), 1'(1(1(4(2(2(0(0(4(1(2(2(2(0(0(2(4(0(2(z0))))))))))))))))))), 1'(1(4(2(2(0(0(4(1(2(2(2(0(0(2(4(0(2(z0)))))))))))))))))), 1'(4(2(2(0(0(4(1(2(2(2(0(0(2(4(0(2(z0))))))))))))))))), 4'(2(2(0(0(4(1(2(2(2(0(0(2(4(0(2(z0)))))))))))))))), 2'(2(0(0(4(1(2(2(2(0(0(2(4(0(2(z0))))))))))))))), 2'(0(0(4(1(2(2(2(0(0(2(4(0(2(z0)))))))))))))), 0'(0(4(1(2(2(2(0(0(2(4(0(2(z0))))))))))))), 0'(4(1(2(2(2(0(0(2(4(0(2(z0)))))))))))), 4'(1(2(2(2(0(0(2(4(0(2(z0))))))))))), 1'(2(2(2(0(0(2(4(0(2(z0)))))))))), 2'(2(2(0(0(2(4(0(2(z0))))))))), 2'(2(0(0(2(4(0(2(z0)))))))), 2'(0(0(2(4(0(2(z0))))))), 0'(0(2(4(0(2(z0)))))), 0'(2(4(0(2(z0))))), 2'(4(0(2(z0)))), 4'(0(2(z0))), 0'(2(z0)), 2'(z0))
   4'(c_1(c_1(c_4(c_4(c_0(c_1(c_2(c_1(c_0(c_0(c_4(c_4(c_2(c_3(c_3(c_3(c_1(c_3(c_2(z0)))))))))))))))))))) -> c110(3'(1(0(4(2(4(4(1(2(4(3(3(2(2(1(4(3(3(4(2(z0)))))))))))))))))))), 1'(0(4(2(4(4(1(2(4(3(3(2(2(1(4(3(3(4(2(z0))))))))))))))))))), 0'(4(2(4(4(1(2(4(3(3(2(2(1(4(3(3(4(2(z0)))))))))))))))))), 4'(2(4(4(1(2(4(3(3(2(2(1(4(3(3(4(2(z0))))))))))))))))), 2'(4(4(1(2(4(3(3(2(2(1(4(3(3(4(2(z0)))))))))))))))), 4'(4(1(2(4(3(3(2(2(1(4(3(3(4(2(z0))))))))))))))), 4'(1(2(4(3(3(2(2(1(4(3(3(4(2(z0)))))))))))))), 1'(2(4(3(3(2(2(1(4(3(3(4(2(z0))))))))))))), 2'(4(3(3(2(2(1(4(3(3(4(2(z0)))))))))))), 4'(3(3(2(2(1(4(3(3(4(2(z0))))))))))), 3'(3(2(2(1(4(3(3(4(2(z0)))))))))), 3'(2(2(1(4(3(3(4(2(z0))))))))), 2'(2(1(4(3(3(4(2(z0)))))))), 2'(1(4(3(3(4(2(z0))))))), 1'(4(3(3(4(2(z0)))))), 4'(3(3(4(2(z0))))), 3'(3(4(2(z0)))), 3'(4(2(z0))), 4'(2(z0)), 2'(z0))
   4'(c_3(c_1(c_0(c_2(c_1(c_0(c_4(c_4(c_0(c_3(c_1(c_0(c_0(c_3(c_0(c_4(c_3(c_1(c_2(z0)))))))))))))))))))) -> c111(0'(1(3(4(0(2(0(0(3(0(0(3(1(2(4(3(1(1(3(2(z0)))))))))))))))))))), 1'(3(4(0(2(0(0(3(0(0(3(1(2(4(3(1(1(3(2(z0))))))))))))))))))), 3'(4(0(2(0(0(3(0(0(3(1(2(4(3(1(1(3(2(z0)))))))))))))))))), 4'(0(2(0(0(3(0(0(3(1(2(4(3(1(1(3(2(z0))))))))))))))))), 0'(2(0(0(3(0(0(3(1(2(4(3(1(1(3(2(z0)))))))))))))))), 2'(0(0(3(0(0(3(1(2(4(3(1(1(3(2(z0))))))))))))))), 0'(0(3(0(0(3(1(2(4(3(1(1(3(2(z0)))))))))))))), 0'(3(0(0(3(1(2(4(3(1(1(3(2(z0))))))))))))), 3'(0(0(3(1(2(4(3(1(1(3(2(z0)))))))))))), 0'(0(3(1(2(4(3(1(1(3(2(z0))))))))))), 0'(3(1(2(4(3(1(1(3(2(z0)))))))))), 3'(1(2(4(3(1(1(3(2(z0))))))))), 1'(2(4(3(1(1(3(2(z0)))))))), 2'(4(3(1(1(3(2(z0))))))), 4'(3(1(1(3(2(z0)))))), 3'(1(1(3(2(z0))))), 1'(1(3(2(z0)))), 1'(3(2(z0))), 3'(2(z0)), 2'(z0))
   4'(c_0(c_1(c_4(c_1(c_2(c_1(c_3(c_4(c_2(c_4(c_3(c_3(c_2(c_1(c_1(c_4(c_4(c_2(c_2(z0)))))))))))))))))))) -> c112(4'(2(3(4(2(4(1(1(1(2(0(1(1(4(0(0(1(3(2(1(z0)))))))))))))))))))), 2'(3(4(2(4(1(1(1(2(0(1(1(4(0(0(1(3(2(1(z0))))))))))))))))))), 3'(4(2(4(1(1(1(2(0(1(1(4(0(0(1(3(2(1(z0)))))))))))))))))), 4'(2(4(1(1(1(2(0(1(1(4(0(0(1(3(2(1(z0))))))))))))))))), 2'(4(1(1(1(2(0(1(1(4(0(0(1(3(2(1(z0)))))))))))))))), 4'(1(1(1(2(0(1(1(4(0(0(1(3(2(1(z0))))))))))))))), 1'(1(1(2(0(1(1(4(0(0(1(3(2(1(z0)))))))))))))), 1'(1(2(0(1(1(4(0(0(1(3(2(1(z0))))))))))))), 1'(2(0(1(1(4(0(0(1(3(2(1(z0)))))))))))), 2'(0(1(1(4(0(0(1(3(2(1(z0))))))))))), 0'(1(1(4(0(0(1(3(2(1(z0)))))))))), 1'(1(4(0(0(1(3(2(1(z0))))))))), 1'(4(0(0(1(3(2(1(z0)))))))), 4'(0(0(1(3(2(1(z0))))))), 0'(0(1(3(2(1(z0)))))), 0'(1(3(2(1(z0))))), 1'(3(2(1(z0)))), 3'(2(1(z0))), 2'(1(z0)), 1'(z0))
   4'(c_3(c_1(c_1(c_2(c_2(c_1(c_3(c_1(c_0(c_0(c_1(c_1(c_0(c_4(c_2(c_3(c_3(c_0(c_2(z0)))))))))))))))))))) -> c113(0'(3(3(1(4(1(1(2(1(2(1(3(1(3(1(4(2(2(4(2(z0)))))))))))))))))))), 3'(3(1(4(1(1(2(1(2(1(3(1(3(1(4(2(2(4(2(z0))))))))))))))))))), 3'(1(4(1(1(2(1(2(1(3(1(3(1(4(2(2(4(2(z0)))))))))))))))))), 1'(4(1(1(2(1(2(1(3(1(3(1(4(2(2(4(2(z0))))))))))))))))), 4'(1(1(2(1(2(1(3(1(3(1(4(2(2(4(2(z0)))))))))))))))), 1'(1(2(1(2(1(3(1(3(1(4(2(2(4(2(z0))))))))))))))), 1'(2(1(2(1(3(1(3(1(4(2(2(4(2(z0)))))))))))))), 2'(1(2(1(3(1(3(1(4(2(2(4(2(z0))))))))))))), 1'(2(1(3(1(3(1(4(2(2(4(2(z0)))))))))))), 2'(1(3(1(3(1(4(2(2(4(2(z0))))))))))), 1'(3(1(3(1(4(2(2(4(2(z0)))))))))), 3'(1(3(1(4(2(2(4(2(z0))))))))), 1'(3(1(4(2(2(4(2(z0)))))))), 3'(1(4(2(2(4(2(z0))))))), 1'(4(2(2(4(2(z0)))))), 4'(2(2(4(2(z0))))), 2'(2(4(2(z0)))), 2'(4(2(z0))), 4'(2(z0)), 2'(z0))
S tuples:
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   4'(c_4(c_3(c_3(c_4(c_0(c_1(c_0(c_1(c_4(c_0(c_0(c_2(c_3(c_3(c_4(c_0(c_0(c_2(c_1(z0)))))))))))))))))))) -> c104(1'(0(1(2(0(1(1(1(1(2(0(0(1(4(3(2(2(4(3(2(z0)))))))))))))))))))), 0'(1(2(0(1(1(1(1(2(0(0(1(4(3(2(2(4(3(2(z0))))))))))))))))))), 1'(2(0(1(1(1(1(2(0(0(1(4(3(2(2(4(3(2(z0)))))))))))))))))), 2'(0(1(1(1(1(2(0(0(1(4(3(2(2(4(3(2(z0))))))))))))))))), 0'(1(1(1(1(2(0(0(1(4(3(2(2(4(3(2(z0)))))))))))))))), 1'(1(1(1(2(0(0(1(4(3(2(2(4(3(2(z0))))))))))))))), 1'(1(1(2(0(0(1(4(3(2(2(4(3(2(z0)))))))))))))), 1'(1(2(0(0(1(4(3(2(2(4(3(2(z0))))))))))))), 1'(2(0(0(1(4(3(2(2(4(3(2(z0)))))))))))), 2'(0(0(1(4(3(2(2(4(3(2(z0))))))))))), 0'(0(1(4(3(2(2(4(3(2(z0)))))))))), 0'(1(4(3(2(2(4(3(2(z0))))))))), 1'(4(3(2(2(4(3(2(z0)))))))), 4'(3(2(2(4(3(2(z0))))))), 3'(2(2(4(3(2(z0)))))), 2'(2(4(3(2(z0))))), 2'(4(3(2(z0)))), 4'(3(2(z0))), 3'(2(z0)), 2'(z0))
   4'(c_3(c_3(c_0(c_2(c_4(c_1(c_2(c_2(c_3(c_0(c_0(c_2(c_0(c_0(c_1(c_0(c_3(c_1(c_2(z0)))))))))))))))))))) -> c105(4'(0(2(3(1(1(4(3(3(1(1(4(0(2(3(2(2(0(1(2(z0)))))))))))))))))))), 0'(2(3(1(1(4(3(3(1(1(4(0(2(3(2(2(0(1(2(z0))))))))))))))))))), 2'(3(1(1(4(3(3(1(1(4(0(2(3(2(2(0(1(2(z0)))))))))))))))))), 3'(1(1(4(3(3(1(1(4(0(2(3(2(2(0(1(2(z0))))))))))))))))), 1'(1(4(3(3(1(1(4(0(2(3(2(2(0(1(2(z0)))))))))))))))), 1'(4(3(3(1(1(4(0(2(3(2(2(0(1(2(z0))))))))))))))), 4'(3(3(1(1(4(0(2(3(2(2(0(1(2(z0)))))))))))))), 3'(3(1(1(4(0(2(3(2(2(0(1(2(z0))))))))))))), 3'(1(1(4(0(2(3(2(2(0(1(2(z0)))))))))))), 1'(1(4(0(2(3(2(2(0(1(2(z0))))))))))), 1'(4(0(2(3(2(2(0(1(2(z0)))))))))), 4'(0(2(3(2(2(0(1(2(z0))))))))), 0'(2(3(2(2(0(1(2(z0)))))))), 2'(3(2(2(0(1(2(z0))))))), 3'(2(2(0(1(2(z0)))))), 2'(2(0(1(2(z0))))), 2'(0(1(2(z0)))), 0'(1(2(z0))), 1'(2(z0)), 2'(z0))
   4'(c_3(c_4(c_0(c_2(c_4(c_3(c_2(c_3(c_3(c_1(c_3(c_3(c_4(c_2(c_4(c_0(c_4(c_1(c_2(z0)))))))))))))))))))) -> c106(4'(4(3(4(1(0(4(4(3(0(2(1(4(2(1(1(4(4(1(2(z0)))))))))))))))))))), 4'(3(4(1(0(4(4(3(0(2(1(4(2(1(1(4(4(1(2(z0))))))))))))))))))), 3'(4(1(0(4(4(3(0(2(1(4(2(1(1(4(4(1(2(z0)))))))))))))))))), 4'(1(0(4(4(3(0(2(1(4(2(1(1(4(4(1(2(z0))))))))))))))))), 1'(0(4(4(3(0(2(1(4(2(1(1(4(4(1(2(z0)))))))))))))))), 0'(4(4(3(0(2(1(4(2(1(1(4(4(1(2(z0))))))))))))))), 4'(4(3(0(2(1(4(2(1(1(4(4(1(2(z0)))))))))))))), 4'(3(0(2(1(4(2(1(1(4(4(1(2(z0))))))))))))), 3'(0(2(1(4(2(1(1(4(4(1(2(z0)))))))))))), 0'(2(1(4(2(1(1(4(4(1(2(z0))))))))))), 2'(1(4(2(1(1(4(4(1(2(z0)))))))))), 1'(4(2(1(1(4(4(1(2(z0))))))))), 4'(2(1(1(4(4(1(2(z0)))))))), 2'(1(1(4(4(1(2(z0))))))), 1'(1(4(4(1(2(z0)))))), 1'(4(4(1(2(z0))))), 4'(4(1(2(z0)))), 4'(1(2(z0))), 1'(2(z0)), 2'(z0))
   4'(c_4(c_2(c_4(c_0(c_0(c_2(c_3(c_4(c_3(c_3(c_1(c_4(c_2(c_2(c_3(c_1(c_0(c_2(c_1(z0)))))))))))))))))))) -> c107(4'(4(1(4(4(4(1(1(4(0(2(3(2(3(1(2(2(1(2(1(z0)))))))))))))))))))), 4'(1(4(4(4(1(1(4(0(2(3(2(3(1(2(2(1(2(1(z0))))))))))))))))))), 1'(4(4(4(1(1(4(0(2(3(2(3(1(2(2(1(2(1(z0)))))))))))))))))), 4'(4(4(1(1(4(0(2(3(2(3(1(2(2(1(2(1(z0))))))))))))))))), 4'(4(1(1(4(0(2(3(2(3(1(2(2(1(2(1(z0)))))))))))))))), 4'(1(1(4(0(2(3(2(3(1(2(2(1(2(1(z0))))))))))))))), 1'(1(4(0(2(3(2(3(1(2(2(1(2(1(z0)))))))))))))), 1'(4(0(2(3(2(3(1(2(2(1(2(1(z0))))))))))))), 4'(0(2(3(2(3(1(2(2(1(2(1(z0)))))))))))), 0'(2(3(2(3(1(2(2(1(2(1(z0))))))))))), 2'(3(2(3(1(2(2(1(2(1(z0)))))))))), 3'(2(3(1(2(2(1(2(1(z0))))))))), 2'(3(1(2(2(1(2(1(z0)))))))), 3'(1(2(2(1(2(1(z0))))))), 1'(2(2(1(2(1(z0)))))), 2'(2(1(2(1(z0))))), 2'(1(2(1(z0)))), 1'(2(1(z0))), 2'(1(z0)), 1'(z0))
   4'(c_1(c_3(c_4(c_3(c_2(c_2(c_1(c_1(c_2(c_3(c_0(c_4(c_1(c_1(c_3(c_4(c_3(c_4(c_2(z0)))))))))))))))))))) -> c108(2'(4(2(1(1(4(0(2(3(0(0(4(2(4(4(0(3(3(1(2(z0)))))))))))))))))))), 4'(2(1(1(4(0(2(3(0(0(4(2(4(4(0(3(3(1(2(z0))))))))))))))))))), 2'(1(1(4(0(2(3(0(0(4(2(4(4(0(3(3(1(2(z0)))))))))))))))))), 1'(1(4(0(2(3(0(0(4(2(4(4(0(3(3(1(2(z0))))))))))))))))), 1'(4(0(2(3(0(0(4(2(4(4(0(3(3(1(2(z0)))))))))))))))), 4'(0(2(3(0(0(4(2(4(4(0(3(3(1(2(z0))))))))))))))), 0'(2(3(0(0(4(2(4(4(0(3(3(1(2(z0)))))))))))))), 2'(3(0(0(4(2(4(4(0(3(3(1(2(z0))))))))))))), 3'(0(0(4(2(4(4(0(3(3(1(2(z0)))))))))))), 0'(0(4(2(4(4(0(3(3(1(2(z0))))))))))), 0'(4(2(4(4(0(3(3(1(2(z0)))))))))), 4'(2(4(4(0(3(3(1(2(z0))))))))), 2'(4(4(0(3(3(1(2(z0)))))))), 4'(4(0(3(3(1(2(z0))))))), 4'(0(3(3(1(2(z0)))))), 0'(3(3(1(2(z0))))), 3'(3(1(2(z0)))), 3'(1(2(z0))), 1'(2(z0)), 2'(z0))
   4'(c_1(c_0(c_2(c_0(c_0(c_0(c_2(c_3(c_4(c_0(c_4(c_2(c_0(c_2(c_0(c_3(c_4(c_3(c_2(z0)))))))))))))))))))) -> c109(2'(1(1(1(4(2(2(0(0(4(1(2(2(2(0(0(2(4(0(2(z0)))))))))))))))))))), 1'(1(1(4(2(2(0(0(4(1(2(2(2(0(0(2(4(0(2(z0))))))))))))))))))), 1'(1(4(2(2(0(0(4(1(2(2(2(0(0(2(4(0(2(z0)))))))))))))))))), 1'(4(2(2(0(0(4(1(2(2(2(0(0(2(4(0(2(z0))))))))))))))))), 4'(2(2(0(0(4(1(2(2(2(0(0(2(4(0(2(z0)))))))))))))))), 2'(2(0(0(4(1(2(2(2(0(0(2(4(0(2(z0))))))))))))))), 2'(0(0(4(1(2(2(2(0(0(2(4(0(2(z0)))))))))))))), 0'(0(4(1(2(2(2(0(0(2(4(0(2(z0))))))))))))), 0'(4(1(2(2(2(0(0(2(4(0(2(z0)))))))))))), 4'(1(2(2(2(0(0(2(4(0(2(z0))))))))))), 1'(2(2(2(0(0(2(4(0(2(z0)))))))))), 2'(2(2(0(0(2(4(0(2(z0))))))))), 2'(2(0(0(2(4(0(2(z0)))))))), 2'(0(0(2(4(0(2(z0))))))), 0'(0(2(4(0(2(z0)))))), 0'(2(4(0(2(z0))))), 2'(4(0(2(z0)))), 4'(0(2(z0))), 0'(2(z0)), 2'(z0))
   4'(c_1(c_1(c_4(c_4(c_0(c_1(c_2(c_1(c_0(c_0(c_4(c_4(c_2(c_3(c_3(c_3(c_1(c_3(c_2(z0)))))))))))))))))))) -> c110(3'(1(0(4(2(4(4(1(2(4(3(3(2(2(1(4(3(3(4(2(z0)))))))))))))))))))), 1'(0(4(2(4(4(1(2(4(3(3(2(2(1(4(3(3(4(2(z0))))))))))))))))))), 0'(4(2(4(4(1(2(4(3(3(2(2(1(4(3(3(4(2(z0)))))))))))))))))), 4'(2(4(4(1(2(4(3(3(2(2(1(4(3(3(4(2(z0))))))))))))))))), 2'(4(4(1(2(4(3(3(2(2(1(4(3(3(4(2(z0)))))))))))))))), 4'(4(1(2(4(3(3(2(2(1(4(3(3(4(2(z0))))))))))))))), 4'(1(2(4(3(3(2(2(1(4(3(3(4(2(z0)))))))))))))), 1'(2(4(3(3(2(2(1(4(3(3(4(2(z0))))))))))))), 2'(4(3(3(2(2(1(4(3(3(4(2(z0)))))))))))), 4'(3(3(2(2(1(4(3(3(4(2(z0))))))))))), 3'(3(2(2(1(4(3(3(4(2(z0)))))))))), 3'(2(2(1(4(3(3(4(2(z0))))))))), 2'(2(1(4(3(3(4(2(z0)))))))), 2'(1(4(3(3(4(2(z0))))))), 1'(4(3(3(4(2(z0)))))), 4'(3(3(4(2(z0))))), 3'(3(4(2(z0)))), 3'(4(2(z0))), 4'(2(z0)), 2'(z0))
   4'(c_3(c_1(c_0(c_2(c_1(c_0(c_4(c_4(c_0(c_3(c_1(c_0(c_0(c_3(c_0(c_4(c_3(c_1(c_2(z0)))))))))))))))))))) -> c111(0'(1(3(4(0(2(0(0(3(0(0(3(1(2(4(3(1(1(3(2(z0)))))))))))))))))))), 1'(3(4(0(2(0(0(3(0(0(3(1(2(4(3(1(1(3(2(z0))))))))))))))))))), 3'(4(0(2(0(0(3(0(0(3(1(2(4(3(1(1(3(2(z0)))))))))))))))))), 4'(0(2(0(0(3(0(0(3(1(2(4(3(1(1(3(2(z0))))))))))))))))), 0'(2(0(0(3(0(0(3(1(2(4(3(1(1(3(2(z0)))))))))))))))), 2'(0(0(3(0(0(3(1(2(4(3(1(1(3(2(z0))))))))))))))), 0'(0(3(0(0(3(1(2(4(3(1(1(3(2(z0)))))))))))))), 0'(3(0(0(3(1(2(4(3(1(1(3(2(z0))))))))))))), 3'(0(0(3(1(2(4(3(1(1(3(2(z0)))))))))))), 0'(0(3(1(2(4(3(1(1(3(2(z0))))))))))), 0'(3(1(2(4(3(1(1(3(2(z0)))))))))), 3'(1(2(4(3(1(1(3(2(z0))))))))), 1'(2(4(3(1(1(3(2(z0)))))))), 2'(4(3(1(1(3(2(z0))))))), 4'(3(1(1(3(2(z0)))))), 3'(1(1(3(2(z0))))), 1'(1(3(2(z0)))), 1'(3(2(z0))), 3'(2(z0)), 2'(z0))
   4'(c_0(c_1(c_4(c_1(c_2(c_1(c_3(c_4(c_2(c_4(c_3(c_3(c_2(c_1(c_1(c_4(c_4(c_2(c_2(z0)))))))))))))))))))) -> c112(4'(2(3(4(2(4(1(1(1(2(0(1(1(4(0(0(1(3(2(1(z0)))))))))))))))))))), 2'(3(4(2(4(1(1(1(2(0(1(1(4(0(0(1(3(2(1(z0))))))))))))))))))), 3'(4(2(4(1(1(1(2(0(1(1(4(0(0(1(3(2(1(z0)))))))))))))))))), 4'(2(4(1(1(1(2(0(1(1(4(0(0(1(3(2(1(z0))))))))))))))))), 2'(4(1(1(1(2(0(1(1(4(0(0(1(3(2(1(z0)))))))))))))))), 4'(1(1(1(2(0(1(1(4(0(0(1(3(2(1(z0))))))))))))))), 1'(1(1(2(0(1(1(4(0(0(1(3(2(1(z0)))))))))))))), 1'(1(2(0(1(1(4(0(0(1(3(2(1(z0))))))))))))), 1'(2(0(1(1(4(0(0(1(3(2(1(z0)))))))))))), 2'(0(1(1(4(0(0(1(3(2(1(z0))))))))))), 0'(1(1(4(0(0(1(3(2(1(z0)))))))))), 1'(1(4(0(0(1(3(2(1(z0))))))))), 1'(4(0(0(1(3(2(1(z0)))))))), 4'(0(0(1(3(2(1(z0))))))), 0'(0(1(3(2(1(z0)))))), 0'(1(3(2(1(z0))))), 1'(3(2(1(z0)))), 3'(2(1(z0))), 2'(1(z0)), 1'(z0))
   4'(c_3(c_1(c_1(c_2(c_2(c_1(c_3(c_1(c_0(c_0(c_1(c_1(c_0(c_4(c_2(c_3(c_3(c_0(c_2(z0)))))))))))))))))))) -> c113(0'(3(3(1(4(1(1(2(1(2(1(3(1(3(1(4(2(2(4(2(z0)))))))))))))))))))), 3'(3(1(4(1(1(2(1(2(1(3(1(3(1(4(2(2(4(2(z0))))))))))))))))))), 3'(1(4(1(1(2(1(2(1(3(1(3(1(4(2(2(4(2(z0)))))))))))))))))), 1'(4(1(1(2(1(2(1(3(1(3(1(4(2(2(4(2(z0))))))))))))))))), 4'(1(1(2(1(2(1(3(1(3(1(4(2(2(4(2(z0)))))))))))))))), 1'(1(2(1(2(1(3(1(3(1(4(2(2(4(2(z0))))))))))))))), 1'(2(1(2(1(3(1(3(1(4(2(2(4(2(z0)))))))))))))), 2'(1(2(1(3(1(3(1(4(2(2(4(2(z0))))))))))))), 1'(2(1(3(1(3(1(4(2(2(4(2(z0)))))))))))), 2'(1(3(1(3(1(4(2(2(4(2(z0))))))))))), 1'(3(1(3(1(4(2(2(4(2(z0)))))))))), 3'(1(3(1(4(2(2(4(2(z0))))))))), 1'(3(1(4(2(2(4(2(z0)))))))), 3'(1(4(2(2(4(2(z0))))))), 1'(4(2(2(4(2(z0)))))), 4'(2(2(4(2(z0))))), 2'(2(4(2(z0)))), 2'(4(2(z0))), 4'(2(z0)), 2'(z0))
K tuples:none
Defined Rule Symbols:   1_1, 2_1, 4_1, 3_1, 0_1, encArg_1, encode_0_1, encode_1_1, encode_2_1, encode_3_1, encode_4_1

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

Compound Symbols:   c_2, c1_2, c2_2, c3_2, c4_2, c5_2, c6_2, c7_2, c8_2, c9_2, c11_20, c12_20, c13_20, c14_20, c15_20, c16_20, c17_20, c18_20, c19_20, c20_20, c21_20, c22_20, c23_20, c24_20, c25_20, c26_20, c27_20, c28_20, c29_20, c30_20, c31_20, c33_20, c34_20, c35_20, c36_20, c37_20, c38_20, c39_20, c40_20, c41_20, c42_20, c43_20, c44_20, c45_20, c46_20, c47_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_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_20, c94_20, c95_20, c96_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_1(c_1(c_1(c_2(c_4(c_4(c_0(c_3(c_4(c_4(c_0(c_2(c_0(c_4(c_1(c_1(c_2(c_1(z0)))))))))))))))))))) -> 3(1(4(3(2(4(3(3(4(0(0(2(0(3(1(0(1(0(1(2(z0))))))))))))))))))))
   0(c_4(c_0(c_2(c_0(c_1(c_2(c_1(c_4(c_3(c_1(c_4(c_3(c_3(c_1(c_0(c_3(c_3(c_1(c_2(z0)))))))))))))))))))) -> 2(1(0(2(2(4(0(1(4(2(3(4(0(1(2(0(2(4(4(2(z0))))))))))))))))))))
   0(c_1(c_3(c_3(c_3(c_3(c_0(c_1(c_1(c_2(c_0(c_0(c_4(c_4(c_4(c_3(c_1(c_0(c_0(c_2(z0)))))))))))))))))))) -> 2(0(2(4(0(2(3(4(2(0(1(0(0(3(4(3(4(0(3(2(z0))))))))))))))))))))
   0(c_1(c_3(c_1(c_1(c_2(c_3(c_2(c_4(c_3(c_4(c_1(c_1(c_2(c_3(c_1(c_0(c_4(c_2(c_2(z0)))))))))))))))))))) -> 2(2(0(1(1(3(2(0(1(0(2(2(0(4(1(4(2(2(4(2(z0))))))))))))))))))))
   0(c_3(c_4(c_0(c_2(c_0(c_1(c_2(c_3(c_1(c_0(c_4(c_4(c_3(c_1(c_4(c_1(c_3(c_0(c_2(z0)))))))))))))))))))) -> 4(0(4(4(3(3(0(0(3(4(3(4(0(1(4(1(1(4(3(2(z0))))))))))))))))))))
   0(c_4(c_3(c_2(c_4(c_4(c_3(c_4(c_1(c_3(c_3(c_2(c_3(c_1(c_0(c_1(c_2(c_1(c_2(c_2(z0)))))))))))))))))))) -> 1(1(4(0(4(1(1(0(0(1(2(4(0(3(2(4(2(0(3(2(z0))))))))))))))))))))
   0(c_1(c_3(c_2(c_3(c_1(c_0(c_0(c_0(c_3(c_3(c_2(c_3(c_3(c_2(c_1(c_0(c_2(c_1(c_2(z0)))))))))))))))))))) -> 0(0(3(4(0(2(2(4(0(4(2(1(3(4(1(3(2(0(2(1(z0))))))))))))))))))))
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   1(z0) -> c_1(z0)
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   1(c_2(c_0(c_4(c_1(c_4(c_3(c_0(c_0(c_0(c_3(c_2(c_4(c_4(c_1(c_3(c_0(c_2(c_3(c_2(z0)))))))))))))))))))) -> 1(3(2(2(0(3(2(0(0(2(4(0(1(4(2(0(2(0(1(2(z0))))))))))))))))))))
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   1(c_1(c_2(c_3(c_0(c_3(c_4(c_2(c_1(c_2(c_4(c_0(c_3(c_2(c_3(c_4(c_4(c_4(c_3(c_2(z0)))))))))))))))))))) -> 3(4(2(1(1(1(4(4(0(0(0(3(0(4(1(4(3(2(4(2(z0))))))))))))))))))))
   1(c_0(c_3(c_4(c_4(c_4(c_4(c_4(c_1(c_3(c_0(c_1(c_2(c_0(c_2(c_0(c_1(c_1(c_3(c_2(z0)))))))))))))))))))) -> 0(1(3(2(1(3(4(1(4(2(4(0(2(4(2(3(0(0(2(1(z0))))))))))))))))))))
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   1(c_3(c_3(c_1(c_0(c_0(c_1(c_1(c_3(c_2(c_3(c_0(c_0(c_0(c_1(c_1(c_1(c_1(c_0(c_2(z0)))))))))))))))))))) -> 1(3(0(4(1(1(4(3(4(2(4(4(3(3(3(2(0(2(2(1(z0))))))))))))))))))))
   1(c_0(c_4(c_1(c_4(c_1(c_2(c_2(c_0(c_0(c_0(c_4(c_0(c_1(c_1(c_2(c_3(c_3(c_3(c_2(z0)))))))))))))))))))) -> 2(2(2(2(4(0(2(3(1(0(2(2(1(4(0(4(1(1(1(2(z0))))))))))))))))))))
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   1(c_4(c_1(c_3(c_1(c_1(c_0(c_0(c_0(c_0(c_4(c_3(c_0(c_0(c_2(c_0(c_2(c_1(c_1(c_1(z0)))))))))))))))))))) -> 2(1(4(2(0(0(3(3(4(3(0(2(4(1(0(2(4(4(2(1(z0))))))))))))))))))))
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   1(c_3(c_0(c_1(c_3(c_2(c_0(c_4(c_0(c_2(c_0(c_4(c_2(c_0(c_4(c_0(c_2(c_4(c_0(c_2(z0)))))))))))))))))))) -> 4(3(0(3(2(2(1(3(4(0(1(0(1(2(0(1(1(4(4(2(z0))))))))))))))))))))
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   2(z0) -> c_2(z0)
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   2(c_3(c_4(c_2(c_2(c_3(c_3(c_4(c_3(c_2(c_0(c_2(c_1(c_0(c_2(c_1(c_4(c_1(c_3(c_2(z0)))))))))))))))))))) -> 1(4(0(4(1(3(1(1(1(1(3(0(1(0(4(1(4(2(1(1(z0))))))))))))))))))))
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   2(c_1(c_0(c_1(c_0(c_4(c_2(c_1(c_1(c_1(c_3(c_0(c_4(c_2(c_2(c_0(c_2(c_3(c_2(c_2(z0)))))))))))))))))))) -> 3(2(0(3(1(3(1(2(1(2(1(1(1(3(1(1(4(1(3(2(z0))))))))))))))))))))
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   2(c_4(c_2(c_0(c_3(c_2(c_2(c_4(c_4(c_3(c_0(c_1(c_0(c_3(c_2(c_3(c_2(c_2(c_4(c_2(z0)))))))))))))))))))) -> 3(0(4(0(2(4(1(0(3(2(3(0(0(2(4(2(4(1(0(2(z0))))))))))))))))))))
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   2(c_1(c_3(c_4(c_1(c_3(c_3(c_4(c_2(c_0(c_0(c_1(c_0(c_1(c_2(c_0(c_1(c_0(c_4(c_2(z0)))))))))))))))))))) -> 2(1(1(2(1(1(0(1(4(0(1(3(2(1(2(4(0(1(2(2(z0))))))))))))))))))))
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   2(c_4(c_0(c_4(c_3(c_1(c_2(c_1(c_2(c_2(c_3(c_0(c_1(c_0(c_1(c_3(c_1(c_3(c_3(c_2(z0)))))))))))))))))))) -> 0(2(4(4(1(4(1(4(2(2(2(4(3(3(3(1(1(0(1(2(z0))))))))))))))))))))
   2(c_0(c_1(c_1(c_0(c_0(c_4(c_2(c_3(c_1(c_0(c_2(c_3(c_0(c_3(c_4(c_0(c_3(c_3(c_2(z0)))))))))))))))))))) -> 3(4(1(3(2(0(3(0(4(1(2(4(0(4(4(1(3(2(0(2(z0))))))))))))))))))))
   2(c_2(c_1(c_0(c_1(c_1(c_2(c_0(c_2(c_2(c_0(c_2(c_2(c_1(c_3(c_0(c_4(c_4(c_1(c_2(z0)))))))))))))))))))) -> 1(2(1(2(4(0(2(1(2(0(3(1(1(2(2(4(4(3(1(2(z0))))))))))))))))))))
   2(c_1(c_2(c_3(c_4(c_4(c_0(c_2(c_3(c_2(c_0(c_3(c_2(c_4(c_4(c_4(c_2(c_4(c_2(c_2(z0)))))))))))))))))))) -> 1(1(3(3(1(3(3(2(2(1(4(1(2(2(4(1(2(2(3(2(z0))))))))))))))))))))
   2(c_0(c_4(c_3(c_4(c_0(c_2(c_1(c_3(c_2(c_0(c_3(c_2(c_0(c_1(c_0(c_4(c_4(c_2(c_2(z0)))))))))))))))))))) -> 4(0(3(2(4(0(1(1(2(4(0(4(4(0(4(2(3(2(2(2(z0))))))))))))))))))))
   2(c_0(c_4(c_4(c_2(c_1(c_3(c_3(c_3(c_2(c_0(c_0(c_2(c_3(c_3(c_1(c_4(c_2(c_3(c_2(z0)))))))))))))))))))) -> 0(0(2(1(2(1(2(0(2(4(1(4(1(3(0(1(2(0(3(2(z0))))))))))))))))))))
   2(c_4(c_0(c_3(c_4(c_1(c_1(c_4(c_0(c_2(c_2(c_2(c_3(c_4(c_4(c_3(c_3(c_3(c_0(c_2(z0)))))))))))))))))))) -> 0(1(0(0(1(1(4(3(3(0(4(2(4(1(1(3(2(2(2(2(z0))))))))))))))))))))
   2(c_0(c_0(c_1(c_2(c_3(c_2(c_3(c_0(c_1(c_2(c_4(c_2(c_2(c_1(c_0(c_0(c_3(c_2(c_1(z0)))))))))))))))))))) -> 2(4(0(1(1(2(3(0(0(4(3(0(1(0(4(2(4(3(4(2(z0))))))))))))))))))))
   2(c_0(c_2(c_1(c_3(c_3(c_4(c_0(c_1(c_1(c_2(c_0(c_3(c_1(c_3(c_0(c_1(c_2(c_1(c_2(z0)))))))))))))))))))) -> 2(2(2(0(1(1(4(3(2(0(2(3(3(3(1(1(2(2(4(2(z0))))))))))))))))))))
   2(c_2(c_1(c_2(c_3(c_3(c_2(c_0(c_3(c_0(c_2(c_0(c_4(c_2(c_4(c_1(c_2(c_3(c_0(c_2(z0)))))))))))))))))))) -> 0(4(1(0(2(2(1(0(3(3(4(2(1(4(1(2(1(4(1(2(z0))))))))))))))))))))
   2(c_1(c_2(c_0(c_3(c_1(c_4(c_2(c_3(c_0(c_1(c_1(c_4(c_4(c_2(c_0(c_4(c_3(c_2(c_1(z0)))))))))))))))))))) -> 1(2(3(4(0(1(4(3(1(1(1(4(1(4(0(0(2(1(4(2(z0))))))))))))))))))))
   3(z0) -> c_3(z0)
   3(c_0(c_2(c_3(c_3(c_2(c_0(c_2(c_0(c_1(c_2(c_4(c_3(c_3(c_1(c_4(c_4(c_0(c_2(c_1(z0)))))))))))))))))))) -> 2(0(2(1(1(1(3(3(0(4(2(4(3(0(1(1(1(4(1(2(z0))))))))))))))))))))
   3(c_2(c_1(c_1(c_1(c_4(c_2(c_4(c_0(c_3(c_1(c_3(c_0(c_2(c_3(c_0(c_4(c_0(c_3(c_2(z0)))))))))))))))))))) -> 3(0(3(0(4(3(2(2(1(1(4(4(4(3(0(2(4(2(2(2(z0))))))))))))))))))))
   3(c_3(c_0(c_2(c_0(c_0(c_1(c_3(c_0(c_2(c_2(c_2(c_4(c_0(c_3(c_1(c_1(c_0(c_0(c_2(z0)))))))))))))))))))) -> 4(0(2(1(3(2(4(0(1(4(1(1(0(2(0(0(2(2(4(2(z0))))))))))))))))))))
   3(c_1(c_0(c_2(c_3(c_2(c_2(c_4(c_3(c_0(c_2(c_0(c_4(c_2(c_1(c_0(c_2(c_1(c_1(c_1(z0)))))))))))))))))))) -> 1(4(0(1(0(4(1(1(3(4(3(2(4(4(3(2(1(1(2(2(z0))))))))))))))))))))
   3(c_3(c_0(c_4(c_4(c_2(c_4(c_0(c_4(c_0(c_4(c_2(c_0(c_2(c_2(c_2(c_4(c_0(c_3(c_2(z0)))))))))))))))))))) -> 0(1(0(1(1(1(4(4(0(1(3(2(2(4(1(4(3(4(2(2(z0))))))))))))))))))))
   3(c_2(c_3(c_3(c_3(c_4(c_1(c_2(c_1(c_2(c_1(c_2(c_1(c_3(c_1(c_1(c_0(c_1(c_4(c_2(z0)))))))))))))))))))) -> 3(0(1(0(0(4(4(4(4(2(4(4(4(3(0(0(2(1(4(2(z0))))))))))))))))))))
   3(c_2(c_1(c_0(c_4(c_1(c_2(c_2(c_0(c_3(c_4(c_3(c_2(c_3(c_4(c_1(c_4(c_0(c_1(c_2(z0)))))))))))))))))))) -> 0(2(4(3(3(2(4(3(3(3(1(2(2(3(4(3(4(3(4(2(z0))))))))))))))))))))
   3(c_2(c_4(c_3(c_2(c_2(c_0(c_2(c_3(c_4(c_0(c_1(c_0(c_4(c_3(c_0(c_3(c_0(c_4(c_2(z0)))))))))))))))))))) -> 0(1(2(0(4(2(3(1(4(0(1(1(0(0(1(1(0(1(1(2(z0))))))))))))))))))))
   3(c_1(c_1(c_2(c_4(c_3(c_1(c_2(c_3(c_0(c_1(c_1(c_1(c_2(c_2(c_3(c_1(c_1(c_3(c_2(z0)))))))))))))))))))) -> 4(0(0(1(3(0(1(1(2(4(2(4(3(4(1(4(0(0(0(2(z0))))))))))))))))))))
   3(c_1(c_1(c_1(c_3(c_3(c_0(c_1(c_3(c_4(c_4(c_2(c_2(c_3(c_1(c_3(c_3(c_4(c_1(c_2(z0)))))))))))))))))))) -> 1(4(1(1(2(1(1(3(4(1(4(2(0(0(2(2(3(2(2(2(z0))))))))))))))))))))
   3(c_0(c_4(c_3(c_2(c_3(c_3(c_2(c_3(c_0(c_1(c_0(c_1(c_0(c_1(c_3(c_1(c_4(c_2(c_1(z0)))))))))))))))))))) -> 4(1(3(2(1(4(1(0(1(3(3(1(4(4(0(4(2(1(1(2(z0))))))))))))))))))))
   3(c_4(c_2(c_2(c_4(c_4(c_0(c_3(c_1(c_4(c_1(c_0(c_4(c_0(c_1(c_0(c_2(c_1(c_0(c_2(z0)))))))))))))))))))) -> 0(2(4(1(2(0(3(0(2(3(4(1(1(4(0(3(3(2(4(2(z0))))))))))))))))))))
   3(c_3(c_3(c_4(c_1(c_1(c_4(c_2(c_3(c_0(c_3(c_4(c_4(c_1(c_2(c_3(c_4(c_1(c_4(c_2(z0)))))))))))))))))))) -> 0(2(4(3(1(2(3(4(1(2(0(1(1(3(3(4(1(0(1(2(z0))))))))))))))))))))
   3(c_4(c_0(c_2(c_2(c_1(c_1(c_0(c_3(c_3(c_1(c_3(c_2(c_2(c_2(c_1(c_1(c_2(c_0(c_2(z0)))))))))))))))))))) -> 3(0(2(3(4(2(0(2(1(4(0(3(3(2(4(1(2(4(1(2(z0))))))))))))))))))))
   3(c_4(c_4(c_2(c_1(c_1(c_4(c_3(c_4(c_3(c_0(c_3(c_3(c_3(c_2(c_2(c_0(c_3(c_1(c_2(z0)))))))))))))))))))) -> 2(4(0(3(2(3(1(4(3(2(2(2(0(1(0(2(3(2(3(2(z0))))))))))))))))))))
   3(c_2(c_0(c_3(c_4(c_3(c_1(c_1(c_3(c_2(c_0(c_3(c_0(c_0(c_0(c_1(c_4(c_2(c_4(c_1(z0)))))))))))))))))))) -> 3(3(2(0(2(4(3(0(0(3(3(0(1(2(4(1(0(0(2(1(z0))))))))))))))))))))
   3(c_3(c_3(c_1(c_3(c_4(c_3(c_0(c_3(c_1(c_3(c_2(c_2(c_4(c_0(c_3(c_4(c_2(c_0(c_2(z0)))))))))))))))))))) -> 4(0(4(1(0(2(4(3(4(2(3(2(3(3(3(0(1(0(4(2(z0))))))))))))))))))))
   3(c_0(c_3(c_0(c_0(c_0(c_2(c_0(c_1(c_2(c_2(c_4(c_0(c_1(c_2(c_0(c_3(c_2(c_2(c_2(z0)))))))))))))))))))) -> 4(4(2(4(4(2(4(1(4(4(2(0(3(2(1(4(4(2(4(2(z0))))))))))))))))))))
   3(c_2(c_0(c_1(c_4(c_3(c_0(c_2(c_0(c_2(c_2(c_3(c_0(c_1(c_4(c_2(c_1(c_1(c_1(c_2(z0)))))))))))))))))))) -> 0(3(1(2(2(2(4(0(3(0(0(3(2(4(4(2(4(3(2(1(z0))))))))))))))))))))
   3(c_1(c_1(c_2(c_0(c_3(c_2(c_0(c_4(c_0(c_0(c_4(c_3(c_4(c_3(c_1(c_1(c_2(c_1(c_1(z0)))))))))))))))))))) -> 4(2(0(1(2(4(3(4(4(3(3(3(1(1(3(0(4(3(4(2(z0))))))))))))))))))))
   3(c_3(c_3(c_2(c_1(c_1(c_3(c_3(c_4(c_2(c_4(c_3(c_2(c_2(c_0(c_3(c_0(c_4(c_2(c_2(z0)))))))))))))))))))) -> 1(3(4(2(4(4(4(3(2(4(4(0(3(3(4(0(4(2(2(1(z0))))))))))))))))))))
   3(c_0(c_1(c_2(c_3(c_0(c_1(c_2(c_2(c_2(c_0(c_2(c_3(c_3(c_3(c_4(c_3(c_3(c_2(c_1(z0)))))))))))))))))))) -> 0(2(3(1(3(1(0(1(2(1(1(1(1(3(3(4(4(0(3(2(z0))))))))))))))))))))
   3(c_2(c_3(c_1(c_0(c_1(c_4(c_2(c_4(c_3(c_1(c_0(c_4(c_1(c_4(c_3(c_3(c_1(c_0(c_2(z0)))))))))))))))))))) -> 0(0(1(2(2(0(4(4(4(1(0(2(4(1(4(4(0(1(1(2(z0))))))))))))))))))))
   3(c_1(c_3(c_2(c_2(c_4(c_1(c_0(c_3(c_1(c_3(c_0(c_2(c_0(c_0(c_0(c_3(c_3(c_2(c_1(z0)))))))))))))))))))) -> 1(3(0(2(1(3(2(1(4(2(2(2(3(4(4(0(2(4(3(2(z0))))))))))))))))))))
   4(z0) -> c_4(z0)
   4(c_2(c_3(c_0(c_3(c_4(c_1(c_1(c_1(c_1(c_0(c_4(c_1(c_1(c_1(c_3(c_4(c_4(c_2(c_2(z0)))))))))))))))))))) -> 2(0(3(3(2(4(4(2(1(1(4(1(1(0(0(2(4(0(0(2(z0))))))))))))))))))))
   4(c_1(c_1(c_3(c_2(c_3(c_0(c_3(c_3(c_3(c_4(c_2(c_4(c_4(c_4(c_1(c_0(c_2(c_0(c_2(z0)))))))))))))))))))) -> 4(4(4(4(1(0(0(3(1(4(0(4(4(0(3(0(1(3(2(2(z0))))))))))))))))))))
   4(c_2(c_1(c_1(c_0(c_1(c_0(c_0(c_2(c_0(c_3(c_2(c_1(c_0(c_0(c_3(c_0(c_1(c_2(c_2(z0)))))))))))))))))))) -> 0(0(4(1(0(1(4(2(4(1(0(0(0(1(4(1(3(3(2(1(z0))))))))))))))))))))
   4(c_3(c_0(c_3(c_2(c_3(c_0(c_4(c_3(c_1(c_3(c_4(c_2(c_0(c_3(c_4(c_3(c_2(c_2(c_1(z0)))))))))))))))))))) -> 0(3(4(3(3(2(4(1(0(0(1(0(0(2(0(3(2(0(2(2(z0))))))))))))))))))))
   4(c_0(c_1(c_3(c_3(c_2(c_4(c_3(c_3(c_2(c_0(c_0(c_1(c_2(c_3(c_4(c_2(c_3(c_3(c_2(z0)))))))))))))))))))) -> 2(4(3(0(3(0(1(4(2(1(4(3(2(1(3(2(3(1(2(2(z0))))))))))))))))))))
   4(c_4(c_3(c_1(c_1(c_3(c_4(c_3(c_2(c_3(c_1(c_1(c_0(c_0(c_0(c_0(c_0(c_0(c_2(c_1(z0)))))))))))))))))))) -> 0(4(0(1(3(0(2(4(3(1(2(2(3(2(0(0(4(4(1(2(z0))))))))))))))))))))
   4(c_4(c_3(c_3(c_4(c_0(c_1(c_0(c_1(c_4(c_0(c_0(c_2(c_3(c_3(c_4(c_0(c_0(c_2(c_1(z0)))))))))))))))))))) -> 1(0(1(2(0(1(1(1(1(2(0(0(1(4(3(2(2(4(3(2(z0))))))))))))))))))))
   4(c_3(c_3(c_0(c_2(c_4(c_1(c_2(c_2(c_3(c_0(c_0(c_2(c_0(c_0(c_1(c_0(c_3(c_1(c_2(z0)))))))))))))))))))) -> 4(0(2(3(1(1(4(3(3(1(1(4(0(2(3(2(2(0(1(2(z0))))))))))))))))))))
   4(c_3(c_4(c_0(c_2(c_4(c_3(c_2(c_3(c_3(c_1(c_3(c_3(c_4(c_2(c_4(c_0(c_4(c_1(c_2(z0)))))))))))))))))))) -> 4(4(3(4(1(0(4(4(3(0(2(1(4(2(1(1(4(4(1(2(z0))))))))))))))))))))
   4(c_4(c_2(c_4(c_0(c_0(c_2(c_3(c_4(c_3(c_3(c_1(c_4(c_2(c_2(c_3(c_1(c_0(c_2(c_1(z0)))))))))))))))))))) -> 4(4(1(4(4(4(1(1(4(0(2(3(2(3(1(2(2(1(2(1(z0))))))))))))))))))))
   4(c_1(c_3(c_4(c_3(c_2(c_2(c_1(c_1(c_2(c_3(c_0(c_4(c_1(c_1(c_3(c_4(c_3(c_4(c_2(z0)))))))))))))))))))) -> 2(4(2(1(1(4(0(2(3(0(0(4(2(4(4(0(3(3(1(2(z0))))))))))))))))))))
   4(c_1(c_0(c_2(c_0(c_0(c_0(c_2(c_3(c_4(c_0(c_4(c_2(c_0(c_2(c_0(c_3(c_4(c_3(c_2(z0)))))))))))))))))))) -> 2(1(1(1(4(2(2(0(0(4(1(2(2(2(0(0(2(4(0(2(z0))))))))))))))))))))
   4(c_1(c_1(c_4(c_4(c_0(c_1(c_2(c_1(c_0(c_0(c_4(c_4(c_2(c_3(c_3(c_3(c_1(c_3(c_2(z0)))))))))))))))))))) -> 3(1(0(4(2(4(4(1(2(4(3(3(2(2(1(4(3(3(4(2(z0))))))))))))))))))))
   4(c_3(c_1(c_0(c_2(c_1(c_0(c_4(c_4(c_0(c_3(c_1(c_0(c_0(c_3(c_0(c_4(c_3(c_1(c_2(z0)))))))))))))))))))) -> 0(1(3(4(0(2(0(0(3(0(0(3(1(2(4(3(1(1(3(2(z0))))))))))))))))))))
   4(c_0(c_1(c_4(c_1(c_2(c_1(c_3(c_4(c_2(c_4(c_3(c_3(c_2(c_1(c_1(c_4(c_4(c_2(c_2(z0)))))))))))))))))))) -> 4(2(3(4(2(4(1(1(1(2(0(1(1(4(0(0(1(3(2(1(z0))))))))))))))))))))
   4(c_3(c_1(c_1(c_2(c_2(c_1(c_3(c_1(c_0(c_0(c_1(c_1(c_0(c_4(c_2(c_3(c_3(c_0(c_2(z0)))))))))))))))))))) -> 0(3(3(1(4(1(1(2(1(2(1(3(1(3(1(4(2(2(4(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_1(c_1(c_1(c_2(c_4(c_4(c_0(c_3(c_4(c_4(c_0(c_2(c_0(c_4(c_1(c_1(c_2(c_1(z0)))))))))))))))))))) -> c11(3'(1(4(3(2(4(3(3(4(0(0(2(0(3(1(0(1(0(1(2(z0)))))))))))))))))))), 1'(4(3(2(4(3(3(4(0(0(2(0(3(1(0(1(0(1(2(z0))))))))))))))))))), 4'(3(2(4(3(3(4(0(0(2(0(3(1(0(1(0(1(2(z0)))))))))))))))))), 3'(2(4(3(3(4(0(0(2(0(3(1(0(1(0(1(2(z0))))))))))))))))), 2'(4(3(3(4(0(0(2(0(3(1(0(1(0(1(2(z0)))))))))))))))), 4'(3(3(4(0(0(2(0(3(1(0(1(0(1(2(z0))))))))))))))), 3'(3(4(0(0(2(0(3(1(0(1(0(1(2(z0)))))))))))))), 3'(4(0(0(2(0(3(1(0(1(0(1(2(z0))))))))))))), 4'(0(0(2(0(3(1(0(1(0(1(2(z0)))))))))))), 0'(0(2(0(3(1(0(1(0(1(2(z0))))))))))), 0'(2(0(3(1(0(1(0(1(2(z0)))))))))), 2'(0(3(1(0(1(0(1(2(z0))))))))), 0'(3(1(0(1(0(1(2(z0)))))))), 3'(1(0(1(0(1(2(z0))))))), 1'(0(1(0(1(2(z0)))))), 0'(1(0(1(2(z0))))), 1'(0(1(2(z0)))), 0'(1(2(z0))), 1'(2(z0)), 2'(z0))
   0'(c_4(c_0(c_2(c_0(c_1(c_2(c_1(c_4(c_3(c_1(c_4(c_3(c_3(c_1(c_0(c_3(c_3(c_1(c_2(z0)))))))))))))))))))) -> c12(2'(1(0(2(2(4(0(1(4(2(3(4(0(1(2(0(2(4(4(2(z0)))))))))))))))))))), 1'(0(2(2(4(0(1(4(2(3(4(0(1(2(0(2(4(4(2(z0))))))))))))))))))), 0'(2(2(4(0(1(4(2(3(4(0(1(2(0(2(4(4(2(z0)))))))))))))))))), 2'(2(4(0(1(4(2(3(4(0(1(2(0(2(4(4(2(z0))))))))))))))))), 2'(4(0(1(4(2(3(4(0(1(2(0(2(4(4(2(z0)))))))))))))))), 4'(0(1(4(2(3(4(0(1(2(0(2(4(4(2(z0))))))))))))))), 0'(1(4(2(3(4(0(1(2(0(2(4(4(2(z0)))))))))))))), 1'(4(2(3(4(0(1(2(0(2(4(4(2(z0))))))))))))), 4'(2(3(4(0(1(2(0(2(4(4(2(z0)))))))))))), 2'(3(4(0(1(2(0(2(4(4(2(z0))))))))))), 3'(4(0(1(2(0(2(4(4(2(z0)))))))))), 4'(0(1(2(0(2(4(4(2(z0))))))))), 0'(1(2(0(2(4(4(2(z0)))))))), 1'(2(0(2(4(4(2(z0))))))), 2'(0(2(4(4(2(z0)))))), 0'(2(4(4(2(z0))))), 2'(4(4(2(z0)))), 4'(4(2(z0))), 4'(2(z0)), 2'(z0))
   0'(c_1(c_3(c_3(c_3(c_3(c_0(c_1(c_1(c_2(c_0(c_0(c_4(c_4(c_4(c_3(c_1(c_0(c_0(c_2(z0)))))))))))))))))))) -> c13(2'(0(2(4(0(2(3(4(2(0(1(0(0(3(4(3(4(0(3(2(z0)))))))))))))))))))), 0'(2(4(0(2(3(4(2(0(1(0(0(3(4(3(4(0(3(2(z0))))))))))))))))))), 2'(4(0(2(3(4(2(0(1(0(0(3(4(3(4(0(3(2(z0)))))))))))))))))), 4'(0(2(3(4(2(0(1(0(0(3(4(3(4(0(3(2(z0))))))))))))))))), 0'(2(3(4(2(0(1(0(0(3(4(3(4(0(3(2(z0)))))))))))))))), 2'(3(4(2(0(1(0(0(3(4(3(4(0(3(2(z0))))))))))))))), 3'(4(2(0(1(0(0(3(4(3(4(0(3(2(z0)))))))))))))), 4'(2(0(1(0(0(3(4(3(4(0(3(2(z0))))))))))))), 2'(0(1(0(0(3(4(3(4(0(3(2(z0)))))))))))), 0'(1(0(0(3(4(3(4(0(3(2(z0))))))))))), 1'(0(0(3(4(3(4(0(3(2(z0)))))))))), 0'(0(3(4(3(4(0(3(2(z0))))))))), 0'(3(4(3(4(0(3(2(z0)))))))), 3'(4(3(4(0(3(2(z0))))))), 4'(3(4(0(3(2(z0)))))), 3'(4(0(3(2(z0))))), 4'(0(3(2(z0)))), 0'(3(2(z0))), 3'(2(z0)), 2'(z0))
   0'(c_1(c_3(c_1(c_1(c_2(c_3(c_2(c_4(c_3(c_4(c_1(c_1(c_2(c_3(c_1(c_0(c_4(c_2(c_2(z0)))))))))))))))))))) -> c14(2'(2(0(1(1(3(2(0(1(0(2(2(0(4(1(4(2(2(4(2(z0)))))))))))))))))))), 2'(0(1(1(3(2(0(1(0(2(2(0(4(1(4(2(2(4(2(z0))))))))))))))))))), 0'(1(1(3(2(0(1(0(2(2(0(4(1(4(2(2(4(2(z0)))))))))))))))))), 1'(1(3(2(0(1(0(2(2(0(4(1(4(2(2(4(2(z0))))))))))))))))), 1'(3(2(0(1(0(2(2(0(4(1(4(2(2(4(2(z0)))))))))))))))), 3'(2(0(1(0(2(2(0(4(1(4(2(2(4(2(z0))))))))))))))), 2'(0(1(0(2(2(0(4(1(4(2(2(4(2(z0)))))))))))))), 0'(1(0(2(2(0(4(1(4(2(2(4(2(z0))))))))))))), 1'(0(2(2(0(4(1(4(2(2(4(2(z0)))))))))))), 0'(2(2(0(4(1(4(2(2(4(2(z0))))))))))), 2'(2(0(4(1(4(2(2(4(2(z0)))))))))), 2'(0(4(1(4(2(2(4(2(z0))))))))), 0'(4(1(4(2(2(4(2(z0)))))))), 4'(1(4(2(2(4(2(z0))))))), 1'(4(2(2(4(2(z0)))))), 4'(2(2(4(2(z0))))), 2'(2(4(2(z0)))), 2'(4(2(z0))), 4'(2(z0)), 2'(z0))
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   4'(c_3(c_3(c_0(c_2(c_4(c_1(c_2(c_2(c_3(c_0(c_0(c_2(c_0(c_0(c_1(c_0(c_3(c_1(c_2(z0)))))))))))))))))))) -> c105(4'(0(2(3(1(1(4(3(3(1(1(4(0(2(3(2(2(0(1(2(z0)))))))))))))))))))), 0'(2(3(1(1(4(3(3(1(1(4(0(2(3(2(2(0(1(2(z0))))))))))))))))))), 2'(3(1(1(4(3(3(1(1(4(0(2(3(2(2(0(1(2(z0)))))))))))))))))), 3'(1(1(4(3(3(1(1(4(0(2(3(2(2(0(1(2(z0))))))))))))))))), 1'(1(4(3(3(1(1(4(0(2(3(2(2(0(1(2(z0)))))))))))))))), 1'(4(3(3(1(1(4(0(2(3(2(2(0(1(2(z0))))))))))))))), 4'(3(3(1(1(4(0(2(3(2(2(0(1(2(z0)))))))))))))), 3'(3(1(1(4(0(2(3(2(2(0(1(2(z0))))))))))))), 3'(1(1(4(0(2(3(2(2(0(1(2(z0)))))))))))), 1'(1(4(0(2(3(2(2(0(1(2(z0))))))))))), 1'(4(0(2(3(2(2(0(1(2(z0)))))))))), 4'(0(2(3(2(2(0(1(2(z0))))))))), 0'(2(3(2(2(0(1(2(z0)))))))), 2'(3(2(2(0(1(2(z0))))))), 3'(2(2(0(1(2(z0)))))), 2'(2(0(1(2(z0))))), 2'(0(1(2(z0)))), 0'(1(2(z0))), 1'(2(z0)), 2'(z0))
   4'(c_3(c_4(c_0(c_2(c_4(c_3(c_2(c_3(c_3(c_1(c_3(c_3(c_4(c_2(c_4(c_0(c_4(c_1(c_2(z0)))))))))))))))))))) -> c106(4'(4(3(4(1(0(4(4(3(0(2(1(4(2(1(1(4(4(1(2(z0)))))))))))))))))))), 4'(3(4(1(0(4(4(3(0(2(1(4(2(1(1(4(4(1(2(z0))))))))))))))))))), 3'(4(1(0(4(4(3(0(2(1(4(2(1(1(4(4(1(2(z0)))))))))))))))))), 4'(1(0(4(4(3(0(2(1(4(2(1(1(4(4(1(2(z0))))))))))))))))), 1'(0(4(4(3(0(2(1(4(2(1(1(4(4(1(2(z0)))))))))))))))), 0'(4(4(3(0(2(1(4(2(1(1(4(4(1(2(z0))))))))))))))), 4'(4(3(0(2(1(4(2(1(1(4(4(1(2(z0)))))))))))))), 4'(3(0(2(1(4(2(1(1(4(4(1(2(z0))))))))))))), 3'(0(2(1(4(2(1(1(4(4(1(2(z0)))))))))))), 0'(2(1(4(2(1(1(4(4(1(2(z0))))))))))), 2'(1(4(2(1(1(4(4(1(2(z0)))))))))), 1'(4(2(1(1(4(4(1(2(z0))))))))), 4'(2(1(1(4(4(1(2(z0)))))))), 2'(1(1(4(4(1(2(z0))))))), 1'(1(4(4(1(2(z0)))))), 1'(4(4(1(2(z0))))), 4'(4(1(2(z0)))), 4'(1(2(z0))), 1'(2(z0)), 2'(z0))
   4'(c_4(c_2(c_4(c_0(c_0(c_2(c_3(c_4(c_3(c_3(c_1(c_4(c_2(c_2(c_3(c_1(c_0(c_2(c_1(z0)))))))))))))))))))) -> c107(4'(4(1(4(4(4(1(1(4(0(2(3(2(3(1(2(2(1(2(1(z0)))))))))))))))))))), 4'(1(4(4(4(1(1(4(0(2(3(2(3(1(2(2(1(2(1(z0))))))))))))))))))), 1'(4(4(4(1(1(4(0(2(3(2(3(1(2(2(1(2(1(z0)))))))))))))))))), 4'(4(4(1(1(4(0(2(3(2(3(1(2(2(1(2(1(z0))))))))))))))))), 4'(4(1(1(4(0(2(3(2(3(1(2(2(1(2(1(z0)))))))))))))))), 4'(1(1(4(0(2(3(2(3(1(2(2(1(2(1(z0))))))))))))))), 1'(1(4(0(2(3(2(3(1(2(2(1(2(1(z0)))))))))))))), 1'(4(0(2(3(2(3(1(2(2(1(2(1(z0))))))))))))), 4'(0(2(3(2(3(1(2(2(1(2(1(z0)))))))))))), 0'(2(3(2(3(1(2(2(1(2(1(z0))))))))))), 2'(3(2(3(1(2(2(1(2(1(z0)))))))))), 3'(2(3(1(2(2(1(2(1(z0))))))))), 2'(3(1(2(2(1(2(1(z0)))))))), 3'(1(2(2(1(2(1(z0))))))), 1'(2(2(1(2(1(z0)))))), 2'(2(1(2(1(z0))))), 2'(1(2(1(z0)))), 1'(2(1(z0))), 2'(1(z0)), 1'(z0))
   4'(c_1(c_3(c_4(c_3(c_2(c_2(c_1(c_1(c_2(c_3(c_0(c_4(c_1(c_1(c_3(c_4(c_3(c_4(c_2(z0)))))))))))))))))))) -> c108(2'(4(2(1(1(4(0(2(3(0(0(4(2(4(4(0(3(3(1(2(z0)))))))))))))))))))), 4'(2(1(1(4(0(2(3(0(0(4(2(4(4(0(3(3(1(2(z0))))))))))))))))))), 2'(1(1(4(0(2(3(0(0(4(2(4(4(0(3(3(1(2(z0)))))))))))))))))), 1'(1(4(0(2(3(0(0(4(2(4(4(0(3(3(1(2(z0))))))))))))))))), 1'(4(0(2(3(0(0(4(2(4(4(0(3(3(1(2(z0)))))))))))))))), 4'(0(2(3(0(0(4(2(4(4(0(3(3(1(2(z0))))))))))))))), 0'(2(3(0(0(4(2(4(4(0(3(3(1(2(z0)))))))))))))), 2'(3(0(0(4(2(4(4(0(3(3(1(2(z0))))))))))))), 3'(0(0(4(2(4(4(0(3(3(1(2(z0)))))))))))), 0'(0(4(2(4(4(0(3(3(1(2(z0))))))))))), 0'(4(2(4(4(0(3(3(1(2(z0)))))))))), 4'(2(4(4(0(3(3(1(2(z0))))))))), 2'(4(4(0(3(3(1(2(z0)))))))), 4'(4(0(3(3(1(2(z0))))))), 4'(0(3(3(1(2(z0)))))), 0'(3(3(1(2(z0))))), 3'(3(1(2(z0)))), 3'(1(2(z0))), 1'(2(z0)), 2'(z0))
   4'(c_1(c_0(c_2(c_0(c_0(c_0(c_2(c_3(c_4(c_0(c_4(c_2(c_0(c_2(c_0(c_3(c_4(c_3(c_2(z0)))))))))))))))))))) -> c109(2'(1(1(1(4(2(2(0(0(4(1(2(2(2(0(0(2(4(0(2(z0)))))))))))))))))))), 1'(1(1(4(2(2(0(0(4(1(2(2(2(0(0(2(4(0(2(z0))))))))))))))))))), 1'(1(4(2(2(0(0(4(1(2(2(2(0(0(2(4(0(2(z0)))))))))))))))))), 1'(4(2(2(0(0(4(1(2(2(2(0(0(2(4(0(2(z0))))))))))))))))), 4'(2(2(0(0(4(1(2(2(2(0(0(2(4(0(2(z0)))))))))))))))), 2'(2(0(0(4(1(2(2(2(0(0(2(4(0(2(z0))))))))))))))), 2'(0(0(4(1(2(2(2(0(0(2(4(0(2(z0)))))))))))))), 0'(0(4(1(2(2(2(0(0(2(4(0(2(z0))))))))))))), 0'(4(1(2(2(2(0(0(2(4(0(2(z0)))))))))))), 4'(1(2(2(2(0(0(2(4(0(2(z0))))))))))), 1'(2(2(2(0(0(2(4(0(2(z0)))))))))), 2'(2(2(0(0(2(4(0(2(z0))))))))), 2'(2(0(0(2(4(0(2(z0)))))))), 2'(0(0(2(4(0(2(z0))))))), 0'(0(2(4(0(2(z0)))))), 0'(2(4(0(2(z0))))), 2'(4(0(2(z0)))), 4'(0(2(z0))), 0'(2(z0)), 2'(z0))
   4'(c_1(c_1(c_4(c_4(c_0(c_1(c_2(c_1(c_0(c_0(c_4(c_4(c_2(c_3(c_3(c_3(c_1(c_3(c_2(z0)))))))))))))))))))) -> c110(3'(1(0(4(2(4(4(1(2(4(3(3(2(2(1(4(3(3(4(2(z0)))))))))))))))))))), 1'(0(4(2(4(4(1(2(4(3(3(2(2(1(4(3(3(4(2(z0))))))))))))))))))), 0'(4(2(4(4(1(2(4(3(3(2(2(1(4(3(3(4(2(z0)))))))))))))))))), 4'(2(4(4(1(2(4(3(3(2(2(1(4(3(3(4(2(z0))))))))))))))))), 2'(4(4(1(2(4(3(3(2(2(1(4(3(3(4(2(z0)))))))))))))))), 4'(4(1(2(4(3(3(2(2(1(4(3(3(4(2(z0))))))))))))))), 4'(1(2(4(3(3(2(2(1(4(3(3(4(2(z0)))))))))))))), 1'(2(4(3(3(2(2(1(4(3(3(4(2(z0))))))))))))), 2'(4(3(3(2(2(1(4(3(3(4(2(z0)))))))))))), 4'(3(3(2(2(1(4(3(3(4(2(z0))))))))))), 3'(3(2(2(1(4(3(3(4(2(z0)))))))))), 3'(2(2(1(4(3(3(4(2(z0))))))))), 2'(2(1(4(3(3(4(2(z0)))))))), 2'(1(4(3(3(4(2(z0))))))), 1'(4(3(3(4(2(z0)))))), 4'(3(3(4(2(z0))))), 3'(3(4(2(z0)))), 3'(4(2(z0))), 4'(2(z0)), 2'(z0))
   4'(c_3(c_1(c_0(c_2(c_1(c_0(c_4(c_4(c_0(c_3(c_1(c_0(c_0(c_3(c_0(c_4(c_3(c_1(c_2(z0)))))))))))))))))))) -> c111(0'(1(3(4(0(2(0(0(3(0(0(3(1(2(4(3(1(1(3(2(z0)))))))))))))))))))), 1'(3(4(0(2(0(0(3(0(0(3(1(2(4(3(1(1(3(2(z0))))))))))))))))))), 3'(4(0(2(0(0(3(0(0(3(1(2(4(3(1(1(3(2(z0)))))))))))))))))), 4'(0(2(0(0(3(0(0(3(1(2(4(3(1(1(3(2(z0))))))))))))))))), 0'(2(0(0(3(0(0(3(1(2(4(3(1(1(3(2(z0)))))))))))))))), 2'(0(0(3(0(0(3(1(2(4(3(1(1(3(2(z0))))))))))))))), 0'(0(3(0(0(3(1(2(4(3(1(1(3(2(z0)))))))))))))), 0'(3(0(0(3(1(2(4(3(1(1(3(2(z0))))))))))))), 3'(0(0(3(1(2(4(3(1(1(3(2(z0)))))))))))), 0'(0(3(1(2(4(3(1(1(3(2(z0))))))))))), 0'(3(1(2(4(3(1(1(3(2(z0)))))))))), 3'(1(2(4(3(1(1(3(2(z0))))))))), 1'(2(4(3(1(1(3(2(z0)))))))), 2'(4(3(1(1(3(2(z0))))))), 4'(3(1(1(3(2(z0)))))), 3'(1(1(3(2(z0))))), 1'(1(3(2(z0)))), 1'(3(2(z0))), 3'(2(z0)), 2'(z0))
   4'(c_0(c_1(c_4(c_1(c_2(c_1(c_3(c_4(c_2(c_4(c_3(c_3(c_2(c_1(c_1(c_4(c_4(c_2(c_2(z0)))))))))))))))))))) -> c112(4'(2(3(4(2(4(1(1(1(2(0(1(1(4(0(0(1(3(2(1(z0)))))))))))))))))))), 2'(3(4(2(4(1(1(1(2(0(1(1(4(0(0(1(3(2(1(z0))))))))))))))))))), 3'(4(2(4(1(1(1(2(0(1(1(4(0(0(1(3(2(1(z0)))))))))))))))))), 4'(2(4(1(1(1(2(0(1(1(4(0(0(1(3(2(1(z0))))))))))))))))), 2'(4(1(1(1(2(0(1(1(4(0(0(1(3(2(1(z0)))))))))))))))), 4'(1(1(1(2(0(1(1(4(0(0(1(3(2(1(z0))))))))))))))), 1'(1(1(2(0(1(1(4(0(0(1(3(2(1(z0)))))))))))))), 1'(1(2(0(1(1(4(0(0(1(3(2(1(z0))))))))))))), 1'(2(0(1(1(4(0(0(1(3(2(1(z0)))))))))))), 2'(0(1(1(4(0(0(1(3(2(1(z0))))))))))), 0'(1(1(4(0(0(1(3(2(1(z0)))))))))), 1'(1(4(0(0(1(3(2(1(z0))))))))), 1'(4(0(0(1(3(2(1(z0)))))))), 4'(0(0(1(3(2(1(z0))))))), 0'(0(1(3(2(1(z0)))))), 0'(1(3(2(1(z0))))), 1'(3(2(1(z0)))), 3'(2(1(z0))), 2'(1(z0)), 1'(z0))
   4'(c_3(c_1(c_1(c_2(c_2(c_1(c_3(c_1(c_0(c_0(c_1(c_1(c_0(c_4(c_2(c_3(c_3(c_0(c_2(z0)))))))))))))))))))) -> c113(0'(3(3(1(4(1(1(2(1(2(1(3(1(3(1(4(2(2(4(2(z0)))))))))))))))))))), 3'(3(1(4(1(1(2(1(2(1(3(1(3(1(4(2(2(4(2(z0))))))))))))))))))), 3'(1(4(1(1(2(1(2(1(3(1(3(1(4(2(2(4(2(z0)))))))))))))))))), 1'(4(1(1(2(1(2(1(3(1(3(1(4(2(2(4(2(z0))))))))))))))))), 4'(1(1(2(1(2(1(3(1(3(1(4(2(2(4(2(z0)))))))))))))))), 1'(1(2(1(2(1(3(1(3(1(4(2(2(4(2(z0))))))))))))))), 1'(2(1(2(1(3(1(3(1(4(2(2(4(2(z0)))))))))))))), 2'(1(2(1(3(1(3(1(4(2(2(4(2(z0))))))))))))), 1'(2(1(3(1(3(1(4(2(2(4(2(z0)))))))))))), 2'(1(3(1(3(1(4(2(2(4(2(z0))))))))))), 1'(3(1(3(1(4(2(2(4(2(z0)))))))))), 3'(1(3(1(4(2(2(4(2(z0))))))))), 1'(3(1(4(2(2(4(2(z0)))))))), 3'(1(4(2(2(4(2(z0))))))), 1'(4(2(2(4(2(z0)))))), 4'(2(2(4(2(z0))))), 2'(2(4(2(z0)))), 2'(4(2(z0))), 4'(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_1(c_1(c_1(c_2(c_4(c_4(c_0(c_3(c_4(c_4(c_0(c_2(c_0(c_4(c_1(c_1(c_2(c_1(z0)))))))))))))))))))) -> c11(3'(1(4(3(2(4(3(3(4(0(0(2(0(3(1(0(1(0(1(2(z0)))))))))))))))))))), 1'(4(3(2(4(3(3(4(0(0(2(0(3(1(0(1(0(1(2(z0))))))))))))))))))), 4'(3(2(4(3(3(4(0(0(2(0(3(1(0(1(0(1(2(z0)))))))))))))))))), 3'(2(4(3(3(4(0(0(2(0(3(1(0(1(0(1(2(z0))))))))))))))))), 2'(4(3(3(4(0(0(2(0(3(1(0(1(0(1(2(z0)))))))))))))))), 4'(3(3(4(0(0(2(0(3(1(0(1(0(1(2(z0))))))))))))))), 3'(3(4(0(0(2(0(3(1(0(1(0(1(2(z0)))))))))))))), 3'(4(0(0(2(0(3(1(0(1(0(1(2(z0))))))))))))), 4'(0(0(2(0(3(1(0(1(0(1(2(z0)))))))))))), 0'(0(2(0(3(1(0(1(0(1(2(z0))))))))))), 0'(2(0(3(1(0(1(0(1(2(z0)))))))))), 2'(0(3(1(0(1(0(1(2(z0))))))))), 0'(3(1(0(1(0(1(2(z0)))))))), 3'(1(0(1(0(1(2(z0))))))), 1'(0(1(0(1(2(z0)))))), 0'(1(0(1(2(z0))))), 1'(0(1(2(z0)))), 0'(1(2(z0))), 1'(2(z0)), 2'(z0))
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   4'(c_4(c_3(c_3(c_4(c_0(c_1(c_0(c_1(c_4(c_0(c_0(c_2(c_3(c_3(c_4(c_0(c_0(c_2(c_1(z0)))))))))))))))))))) -> c104(1'(0(1(2(0(1(1(1(1(2(0(0(1(4(3(2(2(4(3(2(z0)))))))))))))))))))), 0'(1(2(0(1(1(1(1(2(0(0(1(4(3(2(2(4(3(2(z0))))))))))))))))))), 1'(2(0(1(1(1(1(2(0(0(1(4(3(2(2(4(3(2(z0)))))))))))))))))), 2'(0(1(1(1(1(2(0(0(1(4(3(2(2(4(3(2(z0))))))))))))))))), 0'(1(1(1(1(2(0(0(1(4(3(2(2(4(3(2(z0)))))))))))))))), 1'(1(1(1(2(0(0(1(4(3(2(2(4(3(2(z0))))))))))))))), 1'(1(1(2(0(0(1(4(3(2(2(4(3(2(z0)))))))))))))), 1'(1(2(0(0(1(4(3(2(2(4(3(2(z0))))))))))))), 1'(2(0(0(1(4(3(2(2(4(3(2(z0)))))))))))), 2'(0(0(1(4(3(2(2(4(3(2(z0))))))))))), 0'(0(1(4(3(2(2(4(3(2(z0)))))))))), 0'(1(4(3(2(2(4(3(2(z0))))))))), 1'(4(3(2(2(4(3(2(z0)))))))), 4'(3(2(2(4(3(2(z0))))))), 3'(2(2(4(3(2(z0)))))), 2'(2(4(3(2(z0))))), 2'(4(3(2(z0)))), 4'(3(2(z0))), 3'(2(z0)), 2'(z0))
   4'(c_3(c_3(c_0(c_2(c_4(c_1(c_2(c_2(c_3(c_0(c_0(c_2(c_0(c_0(c_1(c_0(c_3(c_1(c_2(z0)))))))))))))))))))) -> c105(4'(0(2(3(1(1(4(3(3(1(1(4(0(2(3(2(2(0(1(2(z0)))))))))))))))))))), 0'(2(3(1(1(4(3(3(1(1(4(0(2(3(2(2(0(1(2(z0))))))))))))))))))), 2'(3(1(1(4(3(3(1(1(4(0(2(3(2(2(0(1(2(z0)))))))))))))))))), 3'(1(1(4(3(3(1(1(4(0(2(3(2(2(0(1(2(z0))))))))))))))))), 1'(1(4(3(3(1(1(4(0(2(3(2(2(0(1(2(z0)))))))))))))))), 1'(4(3(3(1(1(4(0(2(3(2(2(0(1(2(z0))))))))))))))), 4'(3(3(1(1(4(0(2(3(2(2(0(1(2(z0)))))))))))))), 3'(3(1(1(4(0(2(3(2(2(0(1(2(z0))))))))))))), 3'(1(1(4(0(2(3(2(2(0(1(2(z0)))))))))))), 1'(1(4(0(2(3(2(2(0(1(2(z0))))))))))), 1'(4(0(2(3(2(2(0(1(2(z0)))))))))), 4'(0(2(3(2(2(0(1(2(z0))))))))), 0'(2(3(2(2(0(1(2(z0)))))))), 2'(3(2(2(0(1(2(z0))))))), 3'(2(2(0(1(2(z0)))))), 2'(2(0(1(2(z0))))), 2'(0(1(2(z0)))), 0'(1(2(z0))), 1'(2(z0)), 2'(z0))
   4'(c_3(c_4(c_0(c_2(c_4(c_3(c_2(c_3(c_3(c_1(c_3(c_3(c_4(c_2(c_4(c_0(c_4(c_1(c_2(z0)))))))))))))))))))) -> c106(4'(4(3(4(1(0(4(4(3(0(2(1(4(2(1(1(4(4(1(2(z0)))))))))))))))))))), 4'(3(4(1(0(4(4(3(0(2(1(4(2(1(1(4(4(1(2(z0))))))))))))))))))), 3'(4(1(0(4(4(3(0(2(1(4(2(1(1(4(4(1(2(z0)))))))))))))))))), 4'(1(0(4(4(3(0(2(1(4(2(1(1(4(4(1(2(z0))))))))))))))))), 1'(0(4(4(3(0(2(1(4(2(1(1(4(4(1(2(z0)))))))))))))))), 0'(4(4(3(0(2(1(4(2(1(1(4(4(1(2(z0))))))))))))))), 4'(4(3(0(2(1(4(2(1(1(4(4(1(2(z0)))))))))))))), 4'(3(0(2(1(4(2(1(1(4(4(1(2(z0))))))))))))), 3'(0(2(1(4(2(1(1(4(4(1(2(z0)))))))))))), 0'(2(1(4(2(1(1(4(4(1(2(z0))))))))))), 2'(1(4(2(1(1(4(4(1(2(z0)))))))))), 1'(4(2(1(1(4(4(1(2(z0))))))))), 4'(2(1(1(4(4(1(2(z0)))))))), 2'(1(1(4(4(1(2(z0))))))), 1'(1(4(4(1(2(z0)))))), 1'(4(4(1(2(z0))))), 4'(4(1(2(z0)))), 4'(1(2(z0))), 1'(2(z0)), 2'(z0))
   4'(c_4(c_2(c_4(c_0(c_0(c_2(c_3(c_4(c_3(c_3(c_1(c_4(c_2(c_2(c_3(c_1(c_0(c_2(c_1(z0)))))))))))))))))))) -> c107(4'(4(1(4(4(4(1(1(4(0(2(3(2(3(1(2(2(1(2(1(z0)))))))))))))))))))), 4'(1(4(4(4(1(1(4(0(2(3(2(3(1(2(2(1(2(1(z0))))))))))))))))))), 1'(4(4(4(1(1(4(0(2(3(2(3(1(2(2(1(2(1(z0)))))))))))))))))), 4'(4(4(1(1(4(0(2(3(2(3(1(2(2(1(2(1(z0))))))))))))))))), 4'(4(1(1(4(0(2(3(2(3(1(2(2(1(2(1(z0)))))))))))))))), 4'(1(1(4(0(2(3(2(3(1(2(2(1(2(1(z0))))))))))))))), 1'(1(4(0(2(3(2(3(1(2(2(1(2(1(z0)))))))))))))), 1'(4(0(2(3(2(3(1(2(2(1(2(1(z0))))))))))))), 4'(0(2(3(2(3(1(2(2(1(2(1(z0)))))))))))), 0'(2(3(2(3(1(2(2(1(2(1(z0))))))))))), 2'(3(2(3(1(2(2(1(2(1(z0)))))))))), 3'(2(3(1(2(2(1(2(1(z0))))))))), 2'(3(1(2(2(1(2(1(z0)))))))), 3'(1(2(2(1(2(1(z0))))))), 1'(2(2(1(2(1(z0)))))), 2'(2(1(2(1(z0))))), 2'(1(2(1(z0)))), 1'(2(1(z0))), 2'(1(z0)), 1'(z0))
   4'(c_1(c_3(c_4(c_3(c_2(c_2(c_1(c_1(c_2(c_3(c_0(c_4(c_1(c_1(c_3(c_4(c_3(c_4(c_2(z0)))))))))))))))))))) -> c108(2'(4(2(1(1(4(0(2(3(0(0(4(2(4(4(0(3(3(1(2(z0)))))))))))))))))))), 4'(2(1(1(4(0(2(3(0(0(4(2(4(4(0(3(3(1(2(z0))))))))))))))))))), 2'(1(1(4(0(2(3(0(0(4(2(4(4(0(3(3(1(2(z0)))))))))))))))))), 1'(1(4(0(2(3(0(0(4(2(4(4(0(3(3(1(2(z0))))))))))))))))), 1'(4(0(2(3(0(0(4(2(4(4(0(3(3(1(2(z0)))))))))))))))), 4'(0(2(3(0(0(4(2(4(4(0(3(3(1(2(z0))))))))))))))), 0'(2(3(0(0(4(2(4(4(0(3(3(1(2(z0)))))))))))))), 2'(3(0(0(4(2(4(4(0(3(3(1(2(z0))))))))))))), 3'(0(0(4(2(4(4(0(3(3(1(2(z0)))))))))))), 0'(0(4(2(4(4(0(3(3(1(2(z0))))))))))), 0'(4(2(4(4(0(3(3(1(2(z0)))))))))), 4'(2(4(4(0(3(3(1(2(z0))))))))), 2'(4(4(0(3(3(1(2(z0)))))))), 4'(4(0(3(3(1(2(z0))))))), 4'(0(3(3(1(2(z0)))))), 0'(3(3(1(2(z0))))), 3'(3(1(2(z0)))), 3'(1(2(z0))), 1'(2(z0)), 2'(z0))
   4'(c_1(c_0(c_2(c_0(c_0(c_0(c_2(c_3(c_4(c_0(c_4(c_2(c_0(c_2(c_0(c_3(c_4(c_3(c_2(z0)))))))))))))))))))) -> c109(2'(1(1(1(4(2(2(0(0(4(1(2(2(2(0(0(2(4(0(2(z0)))))))))))))))))))), 1'(1(1(4(2(2(0(0(4(1(2(2(2(0(0(2(4(0(2(z0))))))))))))))))))), 1'(1(4(2(2(0(0(4(1(2(2(2(0(0(2(4(0(2(z0)))))))))))))))))), 1'(4(2(2(0(0(4(1(2(2(2(0(0(2(4(0(2(z0))))))))))))))))), 4'(2(2(0(0(4(1(2(2(2(0(0(2(4(0(2(z0)))))))))))))))), 2'(2(0(0(4(1(2(2(2(0(0(2(4(0(2(z0))))))))))))))), 2'(0(0(4(1(2(2(2(0(0(2(4(0(2(z0)))))))))))))), 0'(0(4(1(2(2(2(0(0(2(4(0(2(z0))))))))))))), 0'(4(1(2(2(2(0(0(2(4(0(2(z0)))))))))))), 4'(1(2(2(2(0(0(2(4(0(2(z0))))))))))), 1'(2(2(2(0(0(2(4(0(2(z0)))))))))), 2'(2(2(0(0(2(4(0(2(z0))))))))), 2'(2(0(0(2(4(0(2(z0)))))))), 2'(0(0(2(4(0(2(z0))))))), 0'(0(2(4(0(2(z0)))))), 0'(2(4(0(2(z0))))), 2'(4(0(2(z0)))), 4'(0(2(z0))), 0'(2(z0)), 2'(z0))
   4'(c_1(c_1(c_4(c_4(c_0(c_1(c_2(c_1(c_0(c_0(c_4(c_4(c_2(c_3(c_3(c_3(c_1(c_3(c_2(z0)))))))))))))))))))) -> c110(3'(1(0(4(2(4(4(1(2(4(3(3(2(2(1(4(3(3(4(2(z0)))))))))))))))))))), 1'(0(4(2(4(4(1(2(4(3(3(2(2(1(4(3(3(4(2(z0))))))))))))))))))), 0'(4(2(4(4(1(2(4(3(3(2(2(1(4(3(3(4(2(z0)))))))))))))))))), 4'(2(4(4(1(2(4(3(3(2(2(1(4(3(3(4(2(z0))))))))))))))))), 2'(4(4(1(2(4(3(3(2(2(1(4(3(3(4(2(z0)))))))))))))))), 4'(4(1(2(4(3(3(2(2(1(4(3(3(4(2(z0))))))))))))))), 4'(1(2(4(3(3(2(2(1(4(3(3(4(2(z0)))))))))))))), 1'(2(4(3(3(2(2(1(4(3(3(4(2(z0))))))))))))), 2'(4(3(3(2(2(1(4(3(3(4(2(z0)))))))))))), 4'(3(3(2(2(1(4(3(3(4(2(z0))))))))))), 3'(3(2(2(1(4(3(3(4(2(z0)))))))))), 3'(2(2(1(4(3(3(4(2(z0))))))))), 2'(2(1(4(3(3(4(2(z0)))))))), 2'(1(4(3(3(4(2(z0))))))), 1'(4(3(3(4(2(z0)))))), 4'(3(3(4(2(z0))))), 3'(3(4(2(z0)))), 3'(4(2(z0))), 4'(2(z0)), 2'(z0))
   4'(c_3(c_1(c_0(c_2(c_1(c_0(c_4(c_4(c_0(c_3(c_1(c_0(c_0(c_3(c_0(c_4(c_3(c_1(c_2(z0)))))))))))))))))))) -> c111(0'(1(3(4(0(2(0(0(3(0(0(3(1(2(4(3(1(1(3(2(z0)))))))))))))))))))), 1'(3(4(0(2(0(0(3(0(0(3(1(2(4(3(1(1(3(2(z0))))))))))))))))))), 3'(4(0(2(0(0(3(0(0(3(1(2(4(3(1(1(3(2(z0)))))))))))))))))), 4'(0(2(0(0(3(0(0(3(1(2(4(3(1(1(3(2(z0))))))))))))))))), 0'(2(0(0(3(0(0(3(1(2(4(3(1(1(3(2(z0)))))))))))))))), 2'(0(0(3(0(0(3(1(2(4(3(1(1(3(2(z0))))))))))))))), 0'(0(3(0(0(3(1(2(4(3(1(1(3(2(z0)))))))))))))), 0'(3(0(0(3(1(2(4(3(1(1(3(2(z0))))))))))))), 3'(0(0(3(1(2(4(3(1(1(3(2(z0)))))))))))), 0'(0(3(1(2(4(3(1(1(3(2(z0))))))))))), 0'(3(1(2(4(3(1(1(3(2(z0)))))))))), 3'(1(2(4(3(1(1(3(2(z0))))))))), 1'(2(4(3(1(1(3(2(z0)))))))), 2'(4(3(1(1(3(2(z0))))))), 4'(3(1(1(3(2(z0)))))), 3'(1(1(3(2(z0))))), 1'(1(3(2(z0)))), 1'(3(2(z0))), 3'(2(z0)), 2'(z0))
   4'(c_0(c_1(c_4(c_1(c_2(c_1(c_3(c_4(c_2(c_4(c_3(c_3(c_2(c_1(c_1(c_4(c_4(c_2(c_2(z0)))))))))))))))))))) -> c112(4'(2(3(4(2(4(1(1(1(2(0(1(1(4(0(0(1(3(2(1(z0)))))))))))))))))))), 2'(3(4(2(4(1(1(1(2(0(1(1(4(0(0(1(3(2(1(z0))))))))))))))))))), 3'(4(2(4(1(1(1(2(0(1(1(4(0(0(1(3(2(1(z0)))))))))))))))))), 4'(2(4(1(1(1(2(0(1(1(4(0(0(1(3(2(1(z0))))))))))))))))), 2'(4(1(1(1(2(0(1(1(4(0(0(1(3(2(1(z0)))))))))))))))), 4'(1(1(1(2(0(1(1(4(0(0(1(3(2(1(z0))))))))))))))), 1'(1(1(2(0(1(1(4(0(0(1(3(2(1(z0)))))))))))))), 1'(1(2(0(1(1(4(0(0(1(3(2(1(z0))))))))))))), 1'(2(0(1(1(4(0(0(1(3(2(1(z0)))))))))))), 2'(0(1(1(4(0(0(1(3(2(1(z0))))))))))), 0'(1(1(4(0(0(1(3(2(1(z0)))))))))), 1'(1(4(0(0(1(3(2(1(z0))))))))), 1'(4(0(0(1(3(2(1(z0)))))))), 4'(0(0(1(3(2(1(z0))))))), 0'(0(1(3(2(1(z0)))))), 0'(1(3(2(1(z0))))), 1'(3(2(1(z0)))), 3'(2(1(z0))), 2'(1(z0)), 1'(z0))
   4'(c_3(c_1(c_1(c_2(c_2(c_1(c_3(c_1(c_0(c_0(c_1(c_1(c_0(c_4(c_2(c_3(c_3(c_0(c_2(z0)))))))))))))))))))) -> c113(0'(3(3(1(4(1(1(2(1(2(1(3(1(3(1(4(2(2(4(2(z0)))))))))))))))))))), 3'(3(1(4(1(1(2(1(2(1(3(1(3(1(4(2(2(4(2(z0))))))))))))))))))), 3'(1(4(1(1(2(1(2(1(3(1(3(1(4(2(2(4(2(z0)))))))))))))))))), 1'(4(1(1(2(1(2(1(3(1(3(1(4(2(2(4(2(z0))))))))))))))))), 4'(1(1(2(1(2(1(3(1(3(1(4(2(2(4(2(z0)))))))))))))))), 1'(1(2(1(2(1(3(1(3(1(4(2(2(4(2(z0))))))))))))))), 1'(2(1(2(1(3(1(3(1(4(2(2(4(2(z0)))))))))))))), 2'(1(2(1(3(1(3(1(4(2(2(4(2(z0))))))))))))), 1'(2(1(3(1(3(1(4(2(2(4(2(z0)))))))))))), 2'(1(3(1(3(1(4(2(2(4(2(z0))))))))))), 1'(3(1(3(1(4(2(2(4(2(z0)))))))))), 3'(1(3(1(4(2(2(4(2(z0))))))))), 1'(3(1(4(2(2(4(2(z0)))))))), 3'(1(4(2(2(4(2(z0))))))), 1'(4(2(2(4(2(z0)))))), 4'(2(2(4(2(z0))))), 2'(2(4(2(z0)))), 2'(4(2(z0))), 4'(2(z0)), 2'(z0))
K tuples:none
Defined Rule Symbols:   1_1, 2_1, 4_1, 3_1, 0_1, encArg_1, encode_0_1, encode_1_1, encode_2_1, encode_3_1, encode_4_1

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

Compound Symbols:   c_2, c1_2, c2_2, c3_2, c4_2, c11_20, c12_20, c13_20, c14_20, c15_20, c16_20, c17_20, c18_20, c19_20, c20_20, c21_20, c22_20, c23_20, c24_20, c25_20, c26_20, c27_20, c28_20, c29_20, c30_20, c31_20, c33_20, c34_20, c35_20, c36_20, c37_20, c38_20, c39_20, c40_20, c41_20, c42_20, c43_20, c44_20, c45_20, c46_20, c47_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_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_20, c94_20, c95_20, c96_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_1(c_1(c_1(c_2(c_4(c_4(c_0(c_3(c_4(c_4(c_0(c_2(c_0(c_4(c_1(c_1(c_2(c_1(z0)))))))))))))))))))) -> 3(1(4(3(2(4(3(3(4(0(0(2(0(3(1(0(1(0(1(2(z0))))))))))))))))))))
   0(c_4(c_0(c_2(c_0(c_1(c_2(c_1(c_4(c_3(c_1(c_4(c_3(c_3(c_1(c_0(c_3(c_3(c_1(c_2(z0)))))))))))))))))))) -> 2(1(0(2(2(4(0(1(4(2(3(4(0(1(2(0(2(4(4(2(z0))))))))))))))))))))
   0(c_1(c_3(c_3(c_3(c_3(c_0(c_1(c_1(c_2(c_0(c_0(c_4(c_4(c_4(c_3(c_1(c_0(c_0(c_2(z0)))))))))))))))))))) -> 2(0(2(4(0(2(3(4(2(0(1(0(0(3(4(3(4(0(3(2(z0))))))))))))))))))))
   0(c_1(c_3(c_1(c_1(c_2(c_3(c_2(c_4(c_3(c_4(c_1(c_1(c_2(c_3(c_1(c_0(c_4(c_2(c_2(z0)))))))))))))))))))) -> 2(2(0(1(1(3(2(0(1(0(2(2(0(4(1(4(2(2(4(2(z0))))))))))))))))))))
   0(c_3(c_4(c_0(c_2(c_0(c_1(c_2(c_3(c_1(c_0(c_4(c_4(c_3(c_1(c_4(c_1(c_3(c_0(c_2(z0)))))))))))))))))))) -> 4(0(4(4(3(3(0(0(3(4(3(4(0(1(4(1(1(4(3(2(z0))))))))))))))))))))
   0(c_4(c_3(c_2(c_4(c_4(c_3(c_4(c_1(c_3(c_3(c_2(c_3(c_1(c_0(c_1(c_2(c_1(c_2(c_2(z0)))))))))))))))))))) -> 1(1(4(0(4(1(1(0(0(1(2(4(0(3(2(4(2(0(3(2(z0))))))))))))))))))))
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   1(z0) -> c_1(z0)
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   1(c_0(c_3(c_4(c_4(c_4(c_4(c_4(c_1(c_3(c_0(c_1(c_2(c_0(c_2(c_0(c_1(c_1(c_3(c_2(z0)))))))))))))))))))) -> 0(1(3(2(1(3(4(1(4(2(4(0(2(4(2(3(0(0(2(1(z0))))))))))))))))))))
   1(c_2(c_3(c_4(c_2(c_4(c_2(c_3(c_2(c_0(c_2(c_1(c_0(c_2(c_2(c_0(c_4(c_2(c_0(c_2(z0)))))))))))))))))))) -> 1(1(1(4(0(4(4(0(0(0(2(1(3(4(0(2(4(0(0(2(z0))))))))))))))))))))
   1(c_3(c_3(c_1(c_0(c_0(c_1(c_1(c_3(c_2(c_3(c_0(c_0(c_0(c_1(c_1(c_1(c_1(c_0(c_2(z0)))))))))))))))))))) -> 1(3(0(4(1(1(4(3(4(2(4(4(3(3(3(2(0(2(2(1(z0))))))))))))))))))))
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   1(c_4(c_1(c_3(c_1(c_1(c_0(c_0(c_0(c_0(c_4(c_3(c_0(c_0(c_2(c_0(c_2(c_1(c_1(c_1(z0)))))))))))))))))))) -> 2(1(4(2(0(0(3(3(4(3(0(2(4(1(0(2(4(4(2(1(z0))))))))))))))))))))
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   2(z0) -> c_2(z0)
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   2(c_1(c_0(c_1(c_0(c_4(c_2(c_1(c_1(c_1(c_3(c_0(c_4(c_2(c_2(c_0(c_2(c_3(c_2(c_2(z0)))))))))))))))))))) -> 3(2(0(3(1(3(1(2(1(2(1(1(1(3(1(1(4(1(3(2(z0))))))))))))))))))))
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   2(c_4(c_2(c_0(c_3(c_2(c_2(c_4(c_4(c_3(c_0(c_1(c_0(c_3(c_2(c_3(c_2(c_2(c_4(c_2(z0)))))))))))))))))))) -> 3(0(4(0(2(4(1(0(3(2(3(0(0(2(4(2(4(1(0(2(z0))))))))))))))))))))
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   2(c_4(c_0(c_4(c_3(c_1(c_2(c_1(c_2(c_2(c_3(c_0(c_1(c_0(c_1(c_3(c_1(c_3(c_3(c_2(z0)))))))))))))))))))) -> 0(2(4(4(1(4(1(4(2(2(2(4(3(3(3(1(1(0(1(2(z0))))))))))))))))))))
   2(c_0(c_1(c_1(c_0(c_0(c_4(c_2(c_3(c_1(c_0(c_2(c_3(c_0(c_3(c_4(c_0(c_3(c_3(c_2(z0)))))))))))))))))))) -> 3(4(1(3(2(0(3(0(4(1(2(4(0(4(4(1(3(2(0(2(z0))))))))))))))))))))
   2(c_2(c_1(c_0(c_1(c_1(c_2(c_0(c_2(c_2(c_0(c_2(c_2(c_1(c_3(c_0(c_4(c_4(c_1(c_2(z0)))))))))))))))))))) -> 1(2(1(2(4(0(2(1(2(0(3(1(1(2(2(4(4(3(1(2(z0))))))))))))))))))))
   2(c_1(c_2(c_3(c_4(c_4(c_0(c_2(c_3(c_2(c_0(c_3(c_2(c_4(c_4(c_4(c_2(c_4(c_2(c_2(z0)))))))))))))))))))) -> 1(1(3(3(1(3(3(2(2(1(4(1(2(2(4(1(2(2(3(2(z0))))))))))))))))))))
   2(c_0(c_4(c_3(c_4(c_0(c_2(c_1(c_3(c_2(c_0(c_3(c_2(c_0(c_1(c_0(c_4(c_4(c_2(c_2(z0)))))))))))))))))))) -> 4(0(3(2(4(0(1(1(2(4(0(4(4(0(4(2(3(2(2(2(z0))))))))))))))))))))
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   2(c_4(c_0(c_3(c_4(c_1(c_1(c_4(c_0(c_2(c_2(c_2(c_3(c_4(c_4(c_3(c_3(c_3(c_0(c_2(z0)))))))))))))))))))) -> 0(1(0(0(1(1(4(3(3(0(4(2(4(1(1(3(2(2(2(2(z0))))))))))))))))))))
   2(c_0(c_0(c_1(c_2(c_3(c_2(c_3(c_0(c_1(c_2(c_4(c_2(c_2(c_1(c_0(c_0(c_3(c_2(c_1(z0)))))))))))))))))))) -> 2(4(0(1(1(2(3(0(0(4(3(0(1(0(4(2(4(3(4(2(z0))))))))))))))))))))
   2(c_0(c_2(c_1(c_3(c_3(c_4(c_0(c_1(c_1(c_2(c_0(c_3(c_1(c_3(c_0(c_1(c_2(c_1(c_2(z0)))))))))))))))))))) -> 2(2(2(0(1(1(4(3(2(0(2(3(3(3(1(1(2(2(4(2(z0))))))))))))))))))))
   2(c_2(c_1(c_2(c_3(c_3(c_2(c_0(c_3(c_0(c_2(c_0(c_4(c_2(c_4(c_1(c_2(c_3(c_0(c_2(z0)))))))))))))))))))) -> 0(4(1(0(2(2(1(0(3(3(4(2(1(4(1(2(1(4(1(2(z0))))))))))))))))))))
   2(c_1(c_2(c_0(c_3(c_1(c_4(c_2(c_3(c_0(c_1(c_1(c_4(c_4(c_2(c_0(c_4(c_3(c_2(c_1(z0)))))))))))))))))))) -> 1(2(3(4(0(1(4(3(1(1(1(4(1(4(0(0(2(1(4(2(z0))))))))))))))))))))
   3(z0) -> c_3(z0)
   3(c_0(c_2(c_3(c_3(c_2(c_0(c_2(c_0(c_1(c_2(c_4(c_3(c_3(c_1(c_4(c_4(c_0(c_2(c_1(z0)))))))))))))))))))) -> 2(0(2(1(1(1(3(3(0(4(2(4(3(0(1(1(1(4(1(2(z0))))))))))))))))))))
   3(c_2(c_1(c_1(c_1(c_4(c_2(c_4(c_0(c_3(c_1(c_3(c_0(c_2(c_3(c_0(c_4(c_0(c_3(c_2(z0)))))))))))))))))))) -> 3(0(3(0(4(3(2(2(1(1(4(4(4(3(0(2(4(2(2(2(z0))))))))))))))))))))
   3(c_3(c_0(c_2(c_0(c_0(c_1(c_3(c_0(c_2(c_2(c_2(c_4(c_0(c_3(c_1(c_1(c_0(c_0(c_2(z0)))))))))))))))))))) -> 4(0(2(1(3(2(4(0(1(4(1(1(0(2(0(0(2(2(4(2(z0))))))))))))))))))))
   3(c_1(c_0(c_2(c_3(c_2(c_2(c_4(c_3(c_0(c_2(c_0(c_4(c_2(c_1(c_0(c_2(c_1(c_1(c_1(z0)))))))))))))))))))) -> 1(4(0(1(0(4(1(1(3(4(3(2(4(4(3(2(1(1(2(2(z0))))))))))))))))))))
   3(c_3(c_0(c_4(c_4(c_2(c_4(c_0(c_4(c_0(c_4(c_2(c_0(c_2(c_2(c_2(c_4(c_0(c_3(c_2(z0)))))))))))))))))))) -> 0(1(0(1(1(1(4(4(0(1(3(2(2(4(1(4(3(4(2(2(z0))))))))))))))))))))
   3(c_2(c_3(c_3(c_3(c_4(c_1(c_2(c_1(c_2(c_1(c_2(c_1(c_3(c_1(c_1(c_0(c_1(c_4(c_2(z0)))))))))))))))))))) -> 3(0(1(0(0(4(4(4(4(2(4(4(4(3(0(0(2(1(4(2(z0))))))))))))))))))))
   3(c_2(c_1(c_0(c_4(c_1(c_2(c_2(c_0(c_3(c_4(c_3(c_2(c_3(c_4(c_1(c_4(c_0(c_1(c_2(z0)))))))))))))))))))) -> 0(2(4(3(3(2(4(3(3(3(1(2(2(3(4(3(4(3(4(2(z0))))))))))))))))))))
   3(c_2(c_4(c_3(c_2(c_2(c_0(c_2(c_3(c_4(c_0(c_1(c_0(c_4(c_3(c_0(c_3(c_0(c_4(c_2(z0)))))))))))))))))))) -> 0(1(2(0(4(2(3(1(4(0(1(1(0(0(1(1(0(1(1(2(z0))))))))))))))))))))
   3(c_1(c_1(c_2(c_4(c_3(c_1(c_2(c_3(c_0(c_1(c_1(c_1(c_2(c_2(c_3(c_1(c_1(c_3(c_2(z0)))))))))))))))))))) -> 4(0(0(1(3(0(1(1(2(4(2(4(3(4(1(4(0(0(0(2(z0))))))))))))))))))))
   3(c_1(c_1(c_1(c_3(c_3(c_0(c_1(c_3(c_4(c_4(c_2(c_2(c_3(c_1(c_3(c_3(c_4(c_1(c_2(z0)))))))))))))))))))) -> 1(4(1(1(2(1(1(3(4(1(4(2(0(0(2(2(3(2(2(2(z0))))))))))))))))))))
   3(c_0(c_4(c_3(c_2(c_3(c_3(c_2(c_3(c_0(c_1(c_0(c_1(c_0(c_1(c_3(c_1(c_4(c_2(c_1(z0)))))))))))))))))))) -> 4(1(3(2(1(4(1(0(1(3(3(1(4(4(0(4(2(1(1(2(z0))))))))))))))))))))
   3(c_4(c_2(c_2(c_4(c_4(c_0(c_3(c_1(c_4(c_1(c_0(c_4(c_0(c_1(c_0(c_2(c_1(c_0(c_2(z0)))))))))))))))))))) -> 0(2(4(1(2(0(3(0(2(3(4(1(1(4(0(3(3(2(4(2(z0))))))))))))))))))))
   3(c_3(c_3(c_4(c_1(c_1(c_4(c_2(c_3(c_0(c_3(c_4(c_4(c_1(c_2(c_3(c_4(c_1(c_4(c_2(z0)))))))))))))))))))) -> 0(2(4(3(1(2(3(4(1(2(0(1(1(3(3(4(1(0(1(2(z0))))))))))))))))))))
   3(c_4(c_0(c_2(c_2(c_1(c_1(c_0(c_3(c_3(c_1(c_3(c_2(c_2(c_2(c_1(c_1(c_2(c_0(c_2(z0)))))))))))))))))))) -> 3(0(2(3(4(2(0(2(1(4(0(3(3(2(4(1(2(4(1(2(z0))))))))))))))))))))
   3(c_4(c_4(c_2(c_1(c_1(c_4(c_3(c_4(c_3(c_0(c_3(c_3(c_3(c_2(c_2(c_0(c_3(c_1(c_2(z0)))))))))))))))))))) -> 2(4(0(3(2(3(1(4(3(2(2(2(0(1(0(2(3(2(3(2(z0))))))))))))))))))))
   3(c_2(c_0(c_3(c_4(c_3(c_1(c_1(c_3(c_2(c_0(c_3(c_0(c_0(c_0(c_1(c_4(c_2(c_4(c_1(z0)))))))))))))))))))) -> 3(3(2(0(2(4(3(0(0(3(3(0(1(2(4(1(0(0(2(1(z0))))))))))))))))))))
   3(c_3(c_3(c_1(c_3(c_4(c_3(c_0(c_3(c_1(c_3(c_2(c_2(c_4(c_0(c_3(c_4(c_2(c_0(c_2(z0)))))))))))))))))))) -> 4(0(4(1(0(2(4(3(4(2(3(2(3(3(3(0(1(0(4(2(z0))))))))))))))))))))
   3(c_0(c_3(c_0(c_0(c_0(c_2(c_0(c_1(c_2(c_2(c_4(c_0(c_1(c_2(c_0(c_3(c_2(c_2(c_2(z0)))))))))))))))))))) -> 4(4(2(4(4(2(4(1(4(4(2(0(3(2(1(4(4(2(4(2(z0))))))))))))))))))))
   3(c_2(c_0(c_1(c_4(c_3(c_0(c_2(c_0(c_2(c_2(c_3(c_0(c_1(c_4(c_2(c_1(c_1(c_1(c_2(z0)))))))))))))))))))) -> 0(3(1(2(2(2(4(0(3(0(0(3(2(4(4(2(4(3(2(1(z0))))))))))))))))))))
   3(c_1(c_1(c_2(c_0(c_3(c_2(c_0(c_4(c_0(c_0(c_4(c_3(c_4(c_3(c_1(c_1(c_2(c_1(c_1(z0)))))))))))))))))))) -> 4(2(0(1(2(4(3(4(4(3(3(3(1(1(3(0(4(3(4(2(z0))))))))))))))))))))
   3(c_3(c_3(c_2(c_1(c_1(c_3(c_3(c_4(c_2(c_4(c_3(c_2(c_2(c_0(c_3(c_0(c_4(c_2(c_2(z0)))))))))))))))))))) -> 1(3(4(2(4(4(4(3(2(4(4(0(3(3(4(0(4(2(2(1(z0))))))))))))))))))))
   3(c_0(c_1(c_2(c_3(c_0(c_1(c_2(c_2(c_2(c_0(c_2(c_3(c_3(c_3(c_4(c_3(c_3(c_2(c_1(z0)))))))))))))))))))) -> 0(2(3(1(3(1(0(1(2(1(1(1(1(3(3(4(4(0(3(2(z0))))))))))))))))))))
   3(c_2(c_3(c_1(c_0(c_1(c_4(c_2(c_4(c_3(c_1(c_0(c_4(c_1(c_4(c_3(c_3(c_1(c_0(c_2(z0)))))))))))))))))))) -> 0(0(1(2(2(0(4(4(4(1(0(2(4(1(4(4(0(1(1(2(z0))))))))))))))))))))
   3(c_1(c_3(c_2(c_2(c_4(c_1(c_0(c_3(c_1(c_3(c_0(c_2(c_0(c_0(c_0(c_3(c_3(c_2(c_1(z0)))))))))))))))))))) -> 1(3(0(2(1(3(2(1(4(2(2(2(3(4(4(0(2(4(3(2(z0))))))))))))))))))))
   4(z0) -> c_4(z0)
   4(c_2(c_3(c_0(c_3(c_4(c_1(c_1(c_1(c_1(c_0(c_4(c_1(c_1(c_1(c_3(c_4(c_4(c_2(c_2(z0)))))))))))))))))))) -> 2(0(3(3(2(4(4(2(1(1(4(1(1(0(0(2(4(0(0(2(z0))))))))))))))))))))
   4(c_1(c_1(c_3(c_2(c_3(c_0(c_3(c_3(c_3(c_4(c_2(c_4(c_4(c_4(c_1(c_0(c_2(c_0(c_2(z0)))))))))))))))))))) -> 4(4(4(4(1(0(0(3(1(4(0(4(4(0(3(0(1(3(2(2(z0))))))))))))))))))))
   4(c_2(c_1(c_1(c_0(c_1(c_0(c_0(c_2(c_0(c_3(c_2(c_1(c_0(c_0(c_3(c_0(c_1(c_2(c_2(z0)))))))))))))))))))) -> 0(0(4(1(0(1(4(2(4(1(0(0(0(1(4(1(3(3(2(1(z0))))))))))))))))))))
   4(c_3(c_0(c_3(c_2(c_3(c_0(c_4(c_3(c_1(c_3(c_4(c_2(c_0(c_3(c_4(c_3(c_2(c_2(c_1(z0)))))))))))))))))))) -> 0(3(4(3(3(2(4(1(0(0(1(0(0(2(0(3(2(0(2(2(z0))))))))))))))))))))
   4(c_0(c_1(c_3(c_3(c_2(c_4(c_3(c_3(c_2(c_0(c_0(c_1(c_2(c_3(c_4(c_2(c_3(c_3(c_2(z0)))))))))))))))))))) -> 2(4(3(0(3(0(1(4(2(1(4(3(2(1(3(2(3(1(2(2(z0))))))))))))))))))))
   4(c_4(c_3(c_1(c_1(c_3(c_4(c_3(c_2(c_3(c_1(c_1(c_0(c_0(c_0(c_0(c_0(c_0(c_2(c_1(z0)))))))))))))))))))) -> 0(4(0(1(3(0(2(4(3(1(2(2(3(2(0(0(4(4(1(2(z0))))))))))))))))))))
   4(c_4(c_3(c_3(c_4(c_0(c_1(c_0(c_1(c_4(c_0(c_0(c_2(c_3(c_3(c_4(c_0(c_0(c_2(c_1(z0)))))))))))))))))))) -> 1(0(1(2(0(1(1(1(1(2(0(0(1(4(3(2(2(4(3(2(z0))))))))))))))))))))
   4(c_3(c_3(c_0(c_2(c_4(c_1(c_2(c_2(c_3(c_0(c_0(c_2(c_0(c_0(c_1(c_0(c_3(c_1(c_2(z0)))))))))))))))))))) -> 4(0(2(3(1(1(4(3(3(1(1(4(0(2(3(2(2(0(1(2(z0))))))))))))))))))))
   4(c_3(c_4(c_0(c_2(c_4(c_3(c_2(c_3(c_3(c_1(c_3(c_3(c_4(c_2(c_4(c_0(c_4(c_1(c_2(z0)))))))))))))))))))) -> 4(4(3(4(1(0(4(4(3(0(2(1(4(2(1(1(4(4(1(2(z0))))))))))))))))))))
   4(c_4(c_2(c_4(c_0(c_0(c_2(c_3(c_4(c_3(c_3(c_1(c_4(c_2(c_2(c_3(c_1(c_0(c_2(c_1(z0)))))))))))))))))))) -> 4(4(1(4(4(4(1(1(4(0(2(3(2(3(1(2(2(1(2(1(z0))))))))))))))))))))
   4(c_1(c_3(c_4(c_3(c_2(c_2(c_1(c_1(c_2(c_3(c_0(c_4(c_1(c_1(c_3(c_4(c_3(c_4(c_2(z0)))))))))))))))))))) -> 2(4(2(1(1(4(0(2(3(0(0(4(2(4(4(0(3(3(1(2(z0))))))))))))))))))))
   4(c_1(c_0(c_2(c_0(c_0(c_0(c_2(c_3(c_4(c_0(c_4(c_2(c_0(c_2(c_0(c_3(c_4(c_3(c_2(z0)))))))))))))))))))) -> 2(1(1(1(4(2(2(0(0(4(1(2(2(2(0(0(2(4(0(2(z0))))))))))))))))))))
   4(c_1(c_1(c_4(c_4(c_0(c_1(c_2(c_1(c_0(c_0(c_4(c_4(c_2(c_3(c_3(c_3(c_1(c_3(c_2(z0)))))))))))))))))))) -> 3(1(0(4(2(4(4(1(2(4(3(3(2(2(1(4(3(3(4(2(z0))))))))))))))))))))
   4(c_3(c_1(c_0(c_2(c_1(c_0(c_4(c_4(c_0(c_3(c_1(c_0(c_0(c_3(c_0(c_4(c_3(c_1(c_2(z0)))))))))))))))))))) -> 0(1(3(4(0(2(0(0(3(0(0(3(1(2(4(3(1(1(3(2(z0))))))))))))))))))))
   4(c_0(c_1(c_4(c_1(c_2(c_1(c_3(c_4(c_2(c_4(c_3(c_3(c_2(c_1(c_1(c_4(c_4(c_2(c_2(z0)))))))))))))))))))) -> 4(2(3(4(2(4(1(1(1(2(0(1(1(4(0(0(1(3(2(1(z0))))))))))))))))))))
   4(c_3(c_1(c_1(c_2(c_2(c_1(c_3(c_1(c_0(c_0(c_1(c_1(c_0(c_4(c_2(c_3(c_3(c_0(c_2(z0)))))))))))))))))))) -> 0(3(3(1(4(1(1(2(1(2(1(3(1(3(1(4(2(2(4(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_1(c_1(c_1(c_2(c_4(c_4(c_0(c_3(c_4(c_4(c_0(c_2(c_0(c_4(c_1(c_1(c_2(c_1(z0)))))))))))))))))))) -> c11(3'(1(4(3(2(4(3(3(4(0(0(2(0(3(1(0(1(0(1(2(z0)))))))))))))))))))), 1'(4(3(2(4(3(3(4(0(0(2(0(3(1(0(1(0(1(2(z0))))))))))))))))))), 4'(3(2(4(3(3(4(0(0(2(0(3(1(0(1(0(1(2(z0)))))))))))))))))), 3'(2(4(3(3(4(0(0(2(0(3(1(0(1(0(1(2(z0))))))))))))))))), 2'(4(3(3(4(0(0(2(0(3(1(0(1(0(1(2(z0)))))))))))))))), 4'(3(3(4(0(0(2(0(3(1(0(1(0(1(2(z0))))))))))))))), 3'(3(4(0(0(2(0(3(1(0(1(0(1(2(z0)))))))))))))), 3'(4(0(0(2(0(3(1(0(1(0(1(2(z0))))))))))))), 4'(0(0(2(0(3(1(0(1(0(1(2(z0)))))))))))), 0'(0(2(0(3(1(0(1(0(1(2(z0))))))))))), 0'(2(0(3(1(0(1(0(1(2(z0)))))))))), 2'(0(3(1(0(1(0(1(2(z0))))))))), 0'(3(1(0(1(0(1(2(z0)))))))), 3'(1(0(1(0(1(2(z0))))))), 1'(0(1(0(1(2(z0)))))), 0'(1(0(1(2(z0))))), 1'(0(1(2(z0)))), 0'(1(2(z0))), 1'(2(z0)), 2'(z0))
   0'(c_4(c_0(c_2(c_0(c_1(c_2(c_1(c_4(c_3(c_1(c_4(c_3(c_3(c_1(c_0(c_3(c_3(c_1(c_2(z0)))))))))))))))))))) -> c12(2'(1(0(2(2(4(0(1(4(2(3(4(0(1(2(0(2(4(4(2(z0)))))))))))))))))))), 1'(0(2(2(4(0(1(4(2(3(4(0(1(2(0(2(4(4(2(z0))))))))))))))))))), 0'(2(2(4(0(1(4(2(3(4(0(1(2(0(2(4(4(2(z0)))))))))))))))))), 2'(2(4(0(1(4(2(3(4(0(1(2(0(2(4(4(2(z0))))))))))))))))), 2'(4(0(1(4(2(3(4(0(1(2(0(2(4(4(2(z0)))))))))))))))), 4'(0(1(4(2(3(4(0(1(2(0(2(4(4(2(z0))))))))))))))), 0'(1(4(2(3(4(0(1(2(0(2(4(4(2(z0)))))))))))))), 1'(4(2(3(4(0(1(2(0(2(4(4(2(z0))))))))))))), 4'(2(3(4(0(1(2(0(2(4(4(2(z0)))))))))))), 2'(3(4(0(1(2(0(2(4(4(2(z0))))))))))), 3'(4(0(1(2(0(2(4(4(2(z0)))))))))), 4'(0(1(2(0(2(4(4(2(z0))))))))), 0'(1(2(0(2(4(4(2(z0)))))))), 1'(2(0(2(4(4(2(z0))))))), 2'(0(2(4(4(2(z0)))))), 0'(2(4(4(2(z0))))), 2'(4(4(2(z0)))), 4'(4(2(z0))), 4'(2(z0)), 2'(z0))
   0'(c_1(c_3(c_3(c_3(c_3(c_0(c_1(c_1(c_2(c_0(c_0(c_4(c_4(c_4(c_3(c_1(c_0(c_0(c_2(z0)))))))))))))))))))) -> c13(2'(0(2(4(0(2(3(4(2(0(1(0(0(3(4(3(4(0(3(2(z0)))))))))))))))))))), 0'(2(4(0(2(3(4(2(0(1(0(0(3(4(3(4(0(3(2(z0))))))))))))))))))), 2'(4(0(2(3(4(2(0(1(0(0(3(4(3(4(0(3(2(z0)))))))))))))))))), 4'(0(2(3(4(2(0(1(0(0(3(4(3(4(0(3(2(z0))))))))))))))))), 0'(2(3(4(2(0(1(0(0(3(4(3(4(0(3(2(z0)))))))))))))))), 2'(3(4(2(0(1(0(0(3(4(3(4(0(3(2(z0))))))))))))))), 3'(4(2(0(1(0(0(3(4(3(4(0(3(2(z0)))))))))))))), 4'(2(0(1(0(0(3(4(3(4(0(3(2(z0))))))))))))), 2'(0(1(0(0(3(4(3(4(0(3(2(z0)))))))))))), 0'(1(0(0(3(4(3(4(0(3(2(z0))))))))))), 1'(0(0(3(4(3(4(0(3(2(z0)))))))))), 0'(0(3(4(3(4(0(3(2(z0))))))))), 0'(3(4(3(4(0(3(2(z0)))))))), 3'(4(3(4(0(3(2(z0))))))), 4'(3(4(0(3(2(z0)))))), 3'(4(0(3(2(z0))))), 4'(0(3(2(z0)))), 0'(3(2(z0))), 3'(2(z0)), 2'(z0))
   0'(c_1(c_3(c_1(c_1(c_2(c_3(c_2(c_4(c_3(c_4(c_1(c_1(c_2(c_3(c_1(c_0(c_4(c_2(c_2(z0)))))))))))))))))))) -> c14(2'(2(0(1(1(3(2(0(1(0(2(2(0(4(1(4(2(2(4(2(z0)))))))))))))))))))), 2'(0(1(1(3(2(0(1(0(2(2(0(4(1(4(2(2(4(2(z0))))))))))))))))))), 0'(1(1(3(2(0(1(0(2(2(0(4(1(4(2(2(4(2(z0)))))))))))))))))), 1'(1(3(2(0(1(0(2(2(0(4(1(4(2(2(4(2(z0))))))))))))))))), 1'(3(2(0(1(0(2(2(0(4(1(4(2(2(4(2(z0)))))))))))))))), 3'(2(0(1(0(2(2(0(4(1(4(2(2(4(2(z0))))))))))))))), 2'(0(1(0(2(2(0(4(1(4(2(2(4(2(z0)))))))))))))), 0'(1(0(2(2(0(4(1(4(2(2(4(2(z0))))))))))))), 1'(0(2(2(0(4(1(4(2(2(4(2(z0)))))))))))), 0'(2(2(0(4(1(4(2(2(4(2(z0))))))))))), 2'(2(0(4(1(4(2(2(4(2(z0)))))))))), 2'(0(4(1(4(2(2(4(2(z0))))))))), 0'(4(1(4(2(2(4(2(z0)))))))), 4'(1(4(2(2(4(2(z0))))))), 1'(4(2(2(4(2(z0)))))), 4'(2(2(4(2(z0))))), 2'(2(4(2(z0)))), 2'(4(2(z0))), 4'(2(z0)), 2'(z0))
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   4'(c_3(c_3(c_0(c_2(c_4(c_1(c_2(c_2(c_3(c_0(c_0(c_2(c_0(c_0(c_1(c_0(c_3(c_1(c_2(z0)))))))))))))))))))) -> c105(4'(0(2(3(1(1(4(3(3(1(1(4(0(2(3(2(2(0(1(2(z0)))))))))))))))))))), 0'(2(3(1(1(4(3(3(1(1(4(0(2(3(2(2(0(1(2(z0))))))))))))))))))), 2'(3(1(1(4(3(3(1(1(4(0(2(3(2(2(0(1(2(z0)))))))))))))))))), 3'(1(1(4(3(3(1(1(4(0(2(3(2(2(0(1(2(z0))))))))))))))))), 1'(1(4(3(3(1(1(4(0(2(3(2(2(0(1(2(z0)))))))))))))))), 1'(4(3(3(1(1(4(0(2(3(2(2(0(1(2(z0))))))))))))))), 4'(3(3(1(1(4(0(2(3(2(2(0(1(2(z0)))))))))))))), 3'(3(1(1(4(0(2(3(2(2(0(1(2(z0))))))))))))), 3'(1(1(4(0(2(3(2(2(0(1(2(z0)))))))))))), 1'(1(4(0(2(3(2(2(0(1(2(z0))))))))))), 1'(4(0(2(3(2(2(0(1(2(z0)))))))))), 4'(0(2(3(2(2(0(1(2(z0))))))))), 0'(2(3(2(2(0(1(2(z0)))))))), 2'(3(2(2(0(1(2(z0))))))), 3'(2(2(0(1(2(z0)))))), 2'(2(0(1(2(z0))))), 2'(0(1(2(z0)))), 0'(1(2(z0))), 1'(2(z0)), 2'(z0))
   4'(c_3(c_4(c_0(c_2(c_4(c_3(c_2(c_3(c_3(c_1(c_3(c_3(c_4(c_2(c_4(c_0(c_4(c_1(c_2(z0)))))))))))))))))))) -> c106(4'(4(3(4(1(0(4(4(3(0(2(1(4(2(1(1(4(4(1(2(z0)))))))))))))))))))), 4'(3(4(1(0(4(4(3(0(2(1(4(2(1(1(4(4(1(2(z0))))))))))))))))))), 3'(4(1(0(4(4(3(0(2(1(4(2(1(1(4(4(1(2(z0)))))))))))))))))), 4'(1(0(4(4(3(0(2(1(4(2(1(1(4(4(1(2(z0))))))))))))))))), 1'(0(4(4(3(0(2(1(4(2(1(1(4(4(1(2(z0)))))))))))))))), 0'(4(4(3(0(2(1(4(2(1(1(4(4(1(2(z0))))))))))))))), 4'(4(3(0(2(1(4(2(1(1(4(4(1(2(z0)))))))))))))), 4'(3(0(2(1(4(2(1(1(4(4(1(2(z0))))))))))))), 3'(0(2(1(4(2(1(1(4(4(1(2(z0)))))))))))), 0'(2(1(4(2(1(1(4(4(1(2(z0))))))))))), 2'(1(4(2(1(1(4(4(1(2(z0)))))))))), 1'(4(2(1(1(4(4(1(2(z0))))))))), 4'(2(1(1(4(4(1(2(z0)))))))), 2'(1(1(4(4(1(2(z0))))))), 1'(1(4(4(1(2(z0)))))), 1'(4(4(1(2(z0))))), 4'(4(1(2(z0)))), 4'(1(2(z0))), 1'(2(z0)), 2'(z0))
   4'(c_4(c_2(c_4(c_0(c_0(c_2(c_3(c_4(c_3(c_3(c_1(c_4(c_2(c_2(c_3(c_1(c_0(c_2(c_1(z0)))))))))))))))))))) -> c107(4'(4(1(4(4(4(1(1(4(0(2(3(2(3(1(2(2(1(2(1(z0)))))))))))))))))))), 4'(1(4(4(4(1(1(4(0(2(3(2(3(1(2(2(1(2(1(z0))))))))))))))))))), 1'(4(4(4(1(1(4(0(2(3(2(3(1(2(2(1(2(1(z0)))))))))))))))))), 4'(4(4(1(1(4(0(2(3(2(3(1(2(2(1(2(1(z0))))))))))))))))), 4'(4(1(1(4(0(2(3(2(3(1(2(2(1(2(1(z0)))))))))))))))), 4'(1(1(4(0(2(3(2(3(1(2(2(1(2(1(z0))))))))))))))), 1'(1(4(0(2(3(2(3(1(2(2(1(2(1(z0)))))))))))))), 1'(4(0(2(3(2(3(1(2(2(1(2(1(z0))))))))))))), 4'(0(2(3(2(3(1(2(2(1(2(1(z0)))))))))))), 0'(2(3(2(3(1(2(2(1(2(1(z0))))))))))), 2'(3(2(3(1(2(2(1(2(1(z0)))))))))), 3'(2(3(1(2(2(1(2(1(z0))))))))), 2'(3(1(2(2(1(2(1(z0)))))))), 3'(1(2(2(1(2(1(z0))))))), 1'(2(2(1(2(1(z0)))))), 2'(2(1(2(1(z0))))), 2'(1(2(1(z0)))), 1'(2(1(z0))), 2'(1(z0)), 1'(z0))
   4'(c_1(c_3(c_4(c_3(c_2(c_2(c_1(c_1(c_2(c_3(c_0(c_4(c_1(c_1(c_3(c_4(c_3(c_4(c_2(z0)))))))))))))))))))) -> c108(2'(4(2(1(1(4(0(2(3(0(0(4(2(4(4(0(3(3(1(2(z0)))))))))))))))))))), 4'(2(1(1(4(0(2(3(0(0(4(2(4(4(0(3(3(1(2(z0))))))))))))))))))), 2'(1(1(4(0(2(3(0(0(4(2(4(4(0(3(3(1(2(z0)))))))))))))))))), 1'(1(4(0(2(3(0(0(4(2(4(4(0(3(3(1(2(z0))))))))))))))))), 1'(4(0(2(3(0(0(4(2(4(4(0(3(3(1(2(z0)))))))))))))))), 4'(0(2(3(0(0(4(2(4(4(0(3(3(1(2(z0))))))))))))))), 0'(2(3(0(0(4(2(4(4(0(3(3(1(2(z0)))))))))))))), 2'(3(0(0(4(2(4(4(0(3(3(1(2(z0))))))))))))), 3'(0(0(4(2(4(4(0(3(3(1(2(z0)))))))))))), 0'(0(4(2(4(4(0(3(3(1(2(z0))))))))))), 0'(4(2(4(4(0(3(3(1(2(z0)))))))))), 4'(2(4(4(0(3(3(1(2(z0))))))))), 2'(4(4(0(3(3(1(2(z0)))))))), 4'(4(0(3(3(1(2(z0))))))), 4'(0(3(3(1(2(z0)))))), 0'(3(3(1(2(z0))))), 3'(3(1(2(z0)))), 3'(1(2(z0))), 1'(2(z0)), 2'(z0))
   4'(c_1(c_0(c_2(c_0(c_0(c_0(c_2(c_3(c_4(c_0(c_4(c_2(c_0(c_2(c_0(c_3(c_4(c_3(c_2(z0)))))))))))))))))))) -> c109(2'(1(1(1(4(2(2(0(0(4(1(2(2(2(0(0(2(4(0(2(z0)))))))))))))))))))), 1'(1(1(4(2(2(0(0(4(1(2(2(2(0(0(2(4(0(2(z0))))))))))))))))))), 1'(1(4(2(2(0(0(4(1(2(2(2(0(0(2(4(0(2(z0)))))))))))))))))), 1'(4(2(2(0(0(4(1(2(2(2(0(0(2(4(0(2(z0))))))))))))))))), 4'(2(2(0(0(4(1(2(2(2(0(0(2(4(0(2(z0)))))))))))))))), 2'(2(0(0(4(1(2(2(2(0(0(2(4(0(2(z0))))))))))))))), 2'(0(0(4(1(2(2(2(0(0(2(4(0(2(z0)))))))))))))), 0'(0(4(1(2(2(2(0(0(2(4(0(2(z0))))))))))))), 0'(4(1(2(2(2(0(0(2(4(0(2(z0)))))))))))), 4'(1(2(2(2(0(0(2(4(0(2(z0))))))))))), 1'(2(2(2(0(0(2(4(0(2(z0)))))))))), 2'(2(2(0(0(2(4(0(2(z0))))))))), 2'(2(0(0(2(4(0(2(z0)))))))), 2'(0(0(2(4(0(2(z0))))))), 0'(0(2(4(0(2(z0)))))), 0'(2(4(0(2(z0))))), 2'(4(0(2(z0)))), 4'(0(2(z0))), 0'(2(z0)), 2'(z0))
   4'(c_1(c_1(c_4(c_4(c_0(c_1(c_2(c_1(c_0(c_0(c_4(c_4(c_2(c_3(c_3(c_3(c_1(c_3(c_2(z0)))))))))))))))))))) -> c110(3'(1(0(4(2(4(4(1(2(4(3(3(2(2(1(4(3(3(4(2(z0)))))))))))))))))))), 1'(0(4(2(4(4(1(2(4(3(3(2(2(1(4(3(3(4(2(z0))))))))))))))))))), 0'(4(2(4(4(1(2(4(3(3(2(2(1(4(3(3(4(2(z0)))))))))))))))))), 4'(2(4(4(1(2(4(3(3(2(2(1(4(3(3(4(2(z0))))))))))))))))), 2'(4(4(1(2(4(3(3(2(2(1(4(3(3(4(2(z0)))))))))))))))), 4'(4(1(2(4(3(3(2(2(1(4(3(3(4(2(z0))))))))))))))), 4'(1(2(4(3(3(2(2(1(4(3(3(4(2(z0)))))))))))))), 1'(2(4(3(3(2(2(1(4(3(3(4(2(z0))))))))))))), 2'(4(3(3(2(2(1(4(3(3(4(2(z0)))))))))))), 4'(3(3(2(2(1(4(3(3(4(2(z0))))))))))), 3'(3(2(2(1(4(3(3(4(2(z0)))))))))), 3'(2(2(1(4(3(3(4(2(z0))))))))), 2'(2(1(4(3(3(4(2(z0)))))))), 2'(1(4(3(3(4(2(z0))))))), 1'(4(3(3(4(2(z0)))))), 4'(3(3(4(2(z0))))), 3'(3(4(2(z0)))), 3'(4(2(z0))), 4'(2(z0)), 2'(z0))
   4'(c_3(c_1(c_0(c_2(c_1(c_0(c_4(c_4(c_0(c_3(c_1(c_0(c_0(c_3(c_0(c_4(c_3(c_1(c_2(z0)))))))))))))))))))) -> c111(0'(1(3(4(0(2(0(0(3(0(0(3(1(2(4(3(1(1(3(2(z0)))))))))))))))))))), 1'(3(4(0(2(0(0(3(0(0(3(1(2(4(3(1(1(3(2(z0))))))))))))))))))), 3'(4(0(2(0(0(3(0(0(3(1(2(4(3(1(1(3(2(z0)))))))))))))))))), 4'(0(2(0(0(3(0(0(3(1(2(4(3(1(1(3(2(z0))))))))))))))))), 0'(2(0(0(3(0(0(3(1(2(4(3(1(1(3(2(z0)))))))))))))))), 2'(0(0(3(0(0(3(1(2(4(3(1(1(3(2(z0))))))))))))))), 0'(0(3(0(0(3(1(2(4(3(1(1(3(2(z0)))))))))))))), 0'(3(0(0(3(1(2(4(3(1(1(3(2(z0))))))))))))), 3'(0(0(3(1(2(4(3(1(1(3(2(z0)))))))))))), 0'(0(3(1(2(4(3(1(1(3(2(z0))))))))))), 0'(3(1(2(4(3(1(1(3(2(z0)))))))))), 3'(1(2(4(3(1(1(3(2(z0))))))))), 1'(2(4(3(1(1(3(2(z0)))))))), 2'(4(3(1(1(3(2(z0))))))), 4'(3(1(1(3(2(z0)))))), 3'(1(1(3(2(z0))))), 1'(1(3(2(z0)))), 1'(3(2(z0))), 3'(2(z0)), 2'(z0))
   4'(c_0(c_1(c_4(c_1(c_2(c_1(c_3(c_4(c_2(c_4(c_3(c_3(c_2(c_1(c_1(c_4(c_4(c_2(c_2(z0)))))))))))))))))))) -> c112(4'(2(3(4(2(4(1(1(1(2(0(1(1(4(0(0(1(3(2(1(z0)))))))))))))))))))), 2'(3(4(2(4(1(1(1(2(0(1(1(4(0(0(1(3(2(1(z0))))))))))))))))))), 3'(4(2(4(1(1(1(2(0(1(1(4(0(0(1(3(2(1(z0)))))))))))))))))), 4'(2(4(1(1(1(2(0(1(1(4(0(0(1(3(2(1(z0))))))))))))))))), 2'(4(1(1(1(2(0(1(1(4(0(0(1(3(2(1(z0)))))))))))))))), 4'(1(1(1(2(0(1(1(4(0(0(1(3(2(1(z0))))))))))))))), 1'(1(1(2(0(1(1(4(0(0(1(3(2(1(z0)))))))))))))), 1'(1(2(0(1(1(4(0(0(1(3(2(1(z0))))))))))))), 1'(2(0(1(1(4(0(0(1(3(2(1(z0)))))))))))), 2'(0(1(1(4(0(0(1(3(2(1(z0))))))))))), 0'(1(1(4(0(0(1(3(2(1(z0)))))))))), 1'(1(4(0(0(1(3(2(1(z0))))))))), 1'(4(0(0(1(3(2(1(z0)))))))), 4'(0(0(1(3(2(1(z0))))))), 0'(0(1(3(2(1(z0)))))), 0'(1(3(2(1(z0))))), 1'(3(2(1(z0)))), 3'(2(1(z0))), 2'(1(z0)), 1'(z0))
   4'(c_3(c_1(c_1(c_2(c_2(c_1(c_3(c_1(c_0(c_0(c_1(c_1(c_0(c_4(c_2(c_3(c_3(c_0(c_2(z0)))))))))))))))))))) -> c113(0'(3(3(1(4(1(1(2(1(2(1(3(1(3(1(4(2(2(4(2(z0)))))))))))))))))))), 3'(3(1(4(1(1(2(1(2(1(3(1(3(1(4(2(2(4(2(z0))))))))))))))))))), 3'(1(4(1(1(2(1(2(1(3(1(3(1(4(2(2(4(2(z0)))))))))))))))))), 1'(4(1(1(2(1(2(1(3(1(3(1(4(2(2(4(2(z0))))))))))))))))), 4'(1(1(2(1(2(1(3(1(3(1(4(2(2(4(2(z0)))))))))))))))), 1'(1(2(1(2(1(3(1(3(1(4(2(2(4(2(z0))))))))))))))), 1'(2(1(2(1(3(1(3(1(4(2(2(4(2(z0)))))))))))))), 2'(1(2(1(3(1(3(1(4(2(2(4(2(z0))))))))))))), 1'(2(1(3(1(3(1(4(2(2(4(2(z0)))))))))))), 2'(1(3(1(3(1(4(2(2(4(2(z0))))))))))), 1'(3(1(3(1(4(2(2(4(2(z0)))))))))), 3'(1(3(1(4(2(2(4(2(z0))))))))), 1'(3(1(4(2(2(4(2(z0)))))))), 3'(1(4(2(2(4(2(z0))))))), 1'(4(2(2(4(2(z0)))))), 4'(2(2(4(2(z0))))), 2'(2(4(2(z0)))), 2'(4(2(z0))), 4'(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_1(c_1(c_1(c_2(c_4(c_4(c_0(c_3(c_4(c_4(c_0(c_2(c_0(c_4(c_1(c_1(c_2(c_1(z0)))))))))))))))))))) -> c11(3'(1(4(3(2(4(3(3(4(0(0(2(0(3(1(0(1(0(1(2(z0)))))))))))))))))))), 1'(4(3(2(4(3(3(4(0(0(2(0(3(1(0(1(0(1(2(z0))))))))))))))))))), 4'(3(2(4(3(3(4(0(0(2(0(3(1(0(1(0(1(2(z0)))))))))))))))))), 3'(2(4(3(3(4(0(0(2(0(3(1(0(1(0(1(2(z0))))))))))))))))), 2'(4(3(3(4(0(0(2(0(3(1(0(1(0(1(2(z0)))))))))))))))), 4'(3(3(4(0(0(2(0(3(1(0(1(0(1(2(z0))))))))))))))), 3'(3(4(0(0(2(0(3(1(0(1(0(1(2(z0)))))))))))))), 3'(4(0(0(2(0(3(1(0(1(0(1(2(z0))))))))))))), 4'(0(0(2(0(3(1(0(1(0(1(2(z0)))))))))))), 0'(0(2(0(3(1(0(1(0(1(2(z0))))))))))), 0'(2(0(3(1(0(1(0(1(2(z0)))))))))), 2'(0(3(1(0(1(0(1(2(z0))))))))), 0'(3(1(0(1(0(1(2(z0)))))))), 3'(1(0(1(0(1(2(z0))))))), 1'(0(1(0(1(2(z0)))))), 0'(1(0(1(2(z0))))), 1'(0(1(2(z0)))), 0'(1(2(z0))), 1'(2(z0)), 2'(z0))
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   4'(c_4(c_3(c_3(c_4(c_0(c_1(c_0(c_1(c_4(c_0(c_0(c_2(c_3(c_3(c_4(c_0(c_0(c_2(c_1(z0)))))))))))))))))))) -> c104(1'(0(1(2(0(1(1(1(1(2(0(0(1(4(3(2(2(4(3(2(z0)))))))))))))))))))), 0'(1(2(0(1(1(1(1(2(0(0(1(4(3(2(2(4(3(2(z0))))))))))))))))))), 1'(2(0(1(1(1(1(2(0(0(1(4(3(2(2(4(3(2(z0)))))))))))))))))), 2'(0(1(1(1(1(2(0(0(1(4(3(2(2(4(3(2(z0))))))))))))))))), 0'(1(1(1(1(2(0(0(1(4(3(2(2(4(3(2(z0)))))))))))))))), 1'(1(1(1(2(0(0(1(4(3(2(2(4(3(2(z0))))))))))))))), 1'(1(1(2(0(0(1(4(3(2(2(4(3(2(z0)))))))))))))), 1'(1(2(0(0(1(4(3(2(2(4(3(2(z0))))))))))))), 1'(2(0(0(1(4(3(2(2(4(3(2(z0)))))))))))), 2'(0(0(1(4(3(2(2(4(3(2(z0))))))))))), 0'(0(1(4(3(2(2(4(3(2(z0)))))))))), 0'(1(4(3(2(2(4(3(2(z0))))))))), 1'(4(3(2(2(4(3(2(z0)))))))), 4'(3(2(2(4(3(2(z0))))))), 3'(2(2(4(3(2(z0)))))), 2'(2(4(3(2(z0))))), 2'(4(3(2(z0)))), 4'(3(2(z0))), 3'(2(z0)), 2'(z0))
   4'(c_3(c_3(c_0(c_2(c_4(c_1(c_2(c_2(c_3(c_0(c_0(c_2(c_0(c_0(c_1(c_0(c_3(c_1(c_2(z0)))))))))))))))))))) -> c105(4'(0(2(3(1(1(4(3(3(1(1(4(0(2(3(2(2(0(1(2(z0)))))))))))))))))))), 0'(2(3(1(1(4(3(3(1(1(4(0(2(3(2(2(0(1(2(z0))))))))))))))))))), 2'(3(1(1(4(3(3(1(1(4(0(2(3(2(2(0(1(2(z0)))))))))))))))))), 3'(1(1(4(3(3(1(1(4(0(2(3(2(2(0(1(2(z0))))))))))))))))), 1'(1(4(3(3(1(1(4(0(2(3(2(2(0(1(2(z0)))))))))))))))), 1'(4(3(3(1(1(4(0(2(3(2(2(0(1(2(z0))))))))))))))), 4'(3(3(1(1(4(0(2(3(2(2(0(1(2(z0)))))))))))))), 3'(3(1(1(4(0(2(3(2(2(0(1(2(z0))))))))))))), 3'(1(1(4(0(2(3(2(2(0(1(2(z0)))))))))))), 1'(1(4(0(2(3(2(2(0(1(2(z0))))))))))), 1'(4(0(2(3(2(2(0(1(2(z0)))))))))), 4'(0(2(3(2(2(0(1(2(z0))))))))), 0'(2(3(2(2(0(1(2(z0)))))))), 2'(3(2(2(0(1(2(z0))))))), 3'(2(2(0(1(2(z0)))))), 2'(2(0(1(2(z0))))), 2'(0(1(2(z0)))), 0'(1(2(z0))), 1'(2(z0)), 2'(z0))
   4'(c_3(c_4(c_0(c_2(c_4(c_3(c_2(c_3(c_3(c_1(c_3(c_3(c_4(c_2(c_4(c_0(c_4(c_1(c_2(z0)))))))))))))))))))) -> c106(4'(4(3(4(1(0(4(4(3(0(2(1(4(2(1(1(4(4(1(2(z0)))))))))))))))))))), 4'(3(4(1(0(4(4(3(0(2(1(4(2(1(1(4(4(1(2(z0))))))))))))))))))), 3'(4(1(0(4(4(3(0(2(1(4(2(1(1(4(4(1(2(z0)))))))))))))))))), 4'(1(0(4(4(3(0(2(1(4(2(1(1(4(4(1(2(z0))))))))))))))))), 1'(0(4(4(3(0(2(1(4(2(1(1(4(4(1(2(z0)))))))))))))))), 0'(4(4(3(0(2(1(4(2(1(1(4(4(1(2(z0))))))))))))))), 4'(4(3(0(2(1(4(2(1(1(4(4(1(2(z0)))))))))))))), 4'(3(0(2(1(4(2(1(1(4(4(1(2(z0))))))))))))), 3'(0(2(1(4(2(1(1(4(4(1(2(z0)))))))))))), 0'(2(1(4(2(1(1(4(4(1(2(z0))))))))))), 2'(1(4(2(1(1(4(4(1(2(z0)))))))))), 1'(4(2(1(1(4(4(1(2(z0))))))))), 4'(2(1(1(4(4(1(2(z0)))))))), 2'(1(1(4(4(1(2(z0))))))), 1'(1(4(4(1(2(z0)))))), 1'(4(4(1(2(z0))))), 4'(4(1(2(z0)))), 4'(1(2(z0))), 1'(2(z0)), 2'(z0))
   4'(c_4(c_2(c_4(c_0(c_0(c_2(c_3(c_4(c_3(c_3(c_1(c_4(c_2(c_2(c_3(c_1(c_0(c_2(c_1(z0)))))))))))))))))))) -> c107(4'(4(1(4(4(4(1(1(4(0(2(3(2(3(1(2(2(1(2(1(z0)))))))))))))))))))), 4'(1(4(4(4(1(1(4(0(2(3(2(3(1(2(2(1(2(1(z0))))))))))))))))))), 1'(4(4(4(1(1(4(0(2(3(2(3(1(2(2(1(2(1(z0)))))))))))))))))), 4'(4(4(1(1(4(0(2(3(2(3(1(2(2(1(2(1(z0))))))))))))))))), 4'(4(1(1(4(0(2(3(2(3(1(2(2(1(2(1(z0)))))))))))))))), 4'(1(1(4(0(2(3(2(3(1(2(2(1(2(1(z0))))))))))))))), 1'(1(4(0(2(3(2(3(1(2(2(1(2(1(z0)))))))))))))), 1'(4(0(2(3(2(3(1(2(2(1(2(1(z0))))))))))))), 4'(0(2(3(2(3(1(2(2(1(2(1(z0)))))))))))), 0'(2(3(2(3(1(2(2(1(2(1(z0))))))))))), 2'(3(2(3(1(2(2(1(2(1(z0)))))))))), 3'(2(3(1(2(2(1(2(1(z0))))))))), 2'(3(1(2(2(1(2(1(z0)))))))), 3'(1(2(2(1(2(1(z0))))))), 1'(2(2(1(2(1(z0)))))), 2'(2(1(2(1(z0))))), 2'(1(2(1(z0)))), 1'(2(1(z0))), 2'(1(z0)), 1'(z0))
   4'(c_1(c_3(c_4(c_3(c_2(c_2(c_1(c_1(c_2(c_3(c_0(c_4(c_1(c_1(c_3(c_4(c_3(c_4(c_2(z0)))))))))))))))))))) -> c108(2'(4(2(1(1(4(0(2(3(0(0(4(2(4(4(0(3(3(1(2(z0)))))))))))))))))))), 4'(2(1(1(4(0(2(3(0(0(4(2(4(4(0(3(3(1(2(z0))))))))))))))))))), 2'(1(1(4(0(2(3(0(0(4(2(4(4(0(3(3(1(2(z0)))))))))))))))))), 1'(1(4(0(2(3(0(0(4(2(4(4(0(3(3(1(2(z0))))))))))))))))), 1'(4(0(2(3(0(0(4(2(4(4(0(3(3(1(2(z0)))))))))))))))), 4'(0(2(3(0(0(4(2(4(4(0(3(3(1(2(z0))))))))))))))), 0'(2(3(0(0(4(2(4(4(0(3(3(1(2(z0)))))))))))))), 2'(3(0(0(4(2(4(4(0(3(3(1(2(z0))))))))))))), 3'(0(0(4(2(4(4(0(3(3(1(2(z0)))))))))))), 0'(0(4(2(4(4(0(3(3(1(2(z0))))))))))), 0'(4(2(4(4(0(3(3(1(2(z0)))))))))), 4'(2(4(4(0(3(3(1(2(z0))))))))), 2'(4(4(0(3(3(1(2(z0)))))))), 4'(4(0(3(3(1(2(z0))))))), 4'(0(3(3(1(2(z0)))))), 0'(3(3(1(2(z0))))), 3'(3(1(2(z0)))), 3'(1(2(z0))), 1'(2(z0)), 2'(z0))
   4'(c_1(c_0(c_2(c_0(c_0(c_0(c_2(c_3(c_4(c_0(c_4(c_2(c_0(c_2(c_0(c_3(c_4(c_3(c_2(z0)))))))))))))))))))) -> c109(2'(1(1(1(4(2(2(0(0(4(1(2(2(2(0(0(2(4(0(2(z0)))))))))))))))))))), 1'(1(1(4(2(2(0(0(4(1(2(2(2(0(0(2(4(0(2(z0))))))))))))))))))), 1'(1(4(2(2(0(0(4(1(2(2(2(0(0(2(4(0(2(z0)))))))))))))))))), 1'(4(2(2(0(0(4(1(2(2(2(0(0(2(4(0(2(z0))))))))))))))))), 4'(2(2(0(0(4(1(2(2(2(0(0(2(4(0(2(z0)))))))))))))))), 2'(2(0(0(4(1(2(2(2(0(0(2(4(0(2(z0))))))))))))))), 2'(0(0(4(1(2(2(2(0(0(2(4(0(2(z0)))))))))))))), 0'(0(4(1(2(2(2(0(0(2(4(0(2(z0))))))))))))), 0'(4(1(2(2(2(0(0(2(4(0(2(z0)))))))))))), 4'(1(2(2(2(0(0(2(4(0(2(z0))))))))))), 1'(2(2(2(0(0(2(4(0(2(z0)))))))))), 2'(2(2(0(0(2(4(0(2(z0))))))))), 2'(2(0(0(2(4(0(2(z0)))))))), 2'(0(0(2(4(0(2(z0))))))), 0'(0(2(4(0(2(z0)))))), 0'(2(4(0(2(z0))))), 2'(4(0(2(z0)))), 4'(0(2(z0))), 0'(2(z0)), 2'(z0))
   4'(c_1(c_1(c_4(c_4(c_0(c_1(c_2(c_1(c_0(c_0(c_4(c_4(c_2(c_3(c_3(c_3(c_1(c_3(c_2(z0)))))))))))))))))))) -> c110(3'(1(0(4(2(4(4(1(2(4(3(3(2(2(1(4(3(3(4(2(z0)))))))))))))))))))), 1'(0(4(2(4(4(1(2(4(3(3(2(2(1(4(3(3(4(2(z0))))))))))))))))))), 0'(4(2(4(4(1(2(4(3(3(2(2(1(4(3(3(4(2(z0)))))))))))))))))), 4'(2(4(4(1(2(4(3(3(2(2(1(4(3(3(4(2(z0))))))))))))))))), 2'(4(4(1(2(4(3(3(2(2(1(4(3(3(4(2(z0)))))))))))))))), 4'(4(1(2(4(3(3(2(2(1(4(3(3(4(2(z0))))))))))))))), 4'(1(2(4(3(3(2(2(1(4(3(3(4(2(z0)))))))))))))), 1'(2(4(3(3(2(2(1(4(3(3(4(2(z0))))))))))))), 2'(4(3(3(2(2(1(4(3(3(4(2(z0)))))))))))), 4'(3(3(2(2(1(4(3(3(4(2(z0))))))))))), 3'(3(2(2(1(4(3(3(4(2(z0)))))))))), 3'(2(2(1(4(3(3(4(2(z0))))))))), 2'(2(1(4(3(3(4(2(z0)))))))), 2'(1(4(3(3(4(2(z0))))))), 1'(4(3(3(4(2(z0)))))), 4'(3(3(4(2(z0))))), 3'(3(4(2(z0)))), 3'(4(2(z0))), 4'(2(z0)), 2'(z0))
   4'(c_3(c_1(c_0(c_2(c_1(c_0(c_4(c_4(c_0(c_3(c_1(c_0(c_0(c_3(c_0(c_4(c_3(c_1(c_2(z0)))))))))))))))))))) -> c111(0'(1(3(4(0(2(0(0(3(0(0(3(1(2(4(3(1(1(3(2(z0)))))))))))))))))))), 1'(3(4(0(2(0(0(3(0(0(3(1(2(4(3(1(1(3(2(z0))))))))))))))))))), 3'(4(0(2(0(0(3(0(0(3(1(2(4(3(1(1(3(2(z0)))))))))))))))))), 4'(0(2(0(0(3(0(0(3(1(2(4(3(1(1(3(2(z0))))))))))))))))), 0'(2(0(0(3(0(0(3(1(2(4(3(1(1(3(2(z0)))))))))))))))), 2'(0(0(3(0(0(3(1(2(4(3(1(1(3(2(z0))))))))))))))), 0'(0(3(0(0(3(1(2(4(3(1(1(3(2(z0)))))))))))))), 0'(3(0(0(3(1(2(4(3(1(1(3(2(z0))))))))))))), 3'(0(0(3(1(2(4(3(1(1(3(2(z0)))))))))))), 0'(0(3(1(2(4(3(1(1(3(2(z0))))))))))), 0'(3(1(2(4(3(1(1(3(2(z0)))))))))), 3'(1(2(4(3(1(1(3(2(z0))))))))), 1'(2(4(3(1(1(3(2(z0)))))))), 2'(4(3(1(1(3(2(z0))))))), 4'(3(1(1(3(2(z0)))))), 3'(1(1(3(2(z0))))), 1'(1(3(2(z0)))), 1'(3(2(z0))), 3'(2(z0)), 2'(z0))
   4'(c_0(c_1(c_4(c_1(c_2(c_1(c_3(c_4(c_2(c_4(c_3(c_3(c_2(c_1(c_1(c_4(c_4(c_2(c_2(z0)))))))))))))))))))) -> c112(4'(2(3(4(2(4(1(1(1(2(0(1(1(4(0(0(1(3(2(1(z0)))))))))))))))))))), 2'(3(4(2(4(1(1(1(2(0(1(1(4(0(0(1(3(2(1(z0))))))))))))))))))), 3'(4(2(4(1(1(1(2(0(1(1(4(0(0(1(3(2(1(z0)))))))))))))))))), 4'(2(4(1(1(1(2(0(1(1(4(0(0(1(3(2(1(z0))))))))))))))))), 2'(4(1(1(1(2(0(1(1(4(0(0(1(3(2(1(z0)))))))))))))))), 4'(1(1(1(2(0(1(1(4(0(0(1(3(2(1(z0))))))))))))))), 1'(1(1(2(0(1(1(4(0(0(1(3(2(1(z0)))))))))))))), 1'(1(2(0(1(1(4(0(0(1(3(2(1(z0))))))))))))), 1'(2(0(1(1(4(0(0(1(3(2(1(z0)))))))))))), 2'(0(1(1(4(0(0(1(3(2(1(z0))))))))))), 0'(1(1(4(0(0(1(3(2(1(z0)))))))))), 1'(1(4(0(0(1(3(2(1(z0))))))))), 1'(4(0(0(1(3(2(1(z0)))))))), 4'(0(0(1(3(2(1(z0))))))), 0'(0(1(3(2(1(z0)))))), 0'(1(3(2(1(z0))))), 1'(3(2(1(z0)))), 3'(2(1(z0))), 2'(1(z0)), 1'(z0))
   4'(c_3(c_1(c_1(c_2(c_2(c_1(c_3(c_1(c_0(c_0(c_1(c_1(c_0(c_4(c_2(c_3(c_3(c_0(c_2(z0)))))))))))))))))))) -> c113(0'(3(3(1(4(1(1(2(1(2(1(3(1(3(1(4(2(2(4(2(z0)))))))))))))))))))), 3'(3(1(4(1(1(2(1(2(1(3(1(3(1(4(2(2(4(2(z0))))))))))))))))))), 3'(1(4(1(1(2(1(2(1(3(1(3(1(4(2(2(4(2(z0)))))))))))))))))), 1'(4(1(1(2(1(2(1(3(1(3(1(4(2(2(4(2(z0))))))))))))))))), 4'(1(1(2(1(2(1(3(1(3(1(4(2(2(4(2(z0)))))))))))))))), 1'(1(2(1(2(1(3(1(3(1(4(2(2(4(2(z0))))))))))))))), 1'(2(1(2(1(3(1(3(1(4(2(2(4(2(z0)))))))))))))), 2'(1(2(1(3(1(3(1(4(2(2(4(2(z0))))))))))))), 1'(2(1(3(1(3(1(4(2(2(4(2(z0)))))))))))), 2'(1(3(1(3(1(4(2(2(4(2(z0))))))))))), 1'(3(1(3(1(4(2(2(4(2(z0)))))))))), 3'(1(3(1(4(2(2(4(2(z0))))))))), 1'(3(1(4(2(2(4(2(z0)))))))), 3'(1(4(2(2(4(2(z0))))))), 1'(4(2(2(4(2(z0)))))), 4'(2(2(4(2(z0))))), 2'(2(4(2(z0)))), 2'(4(2(z0))), 4'(2(z0)), 2'(z0))
K tuples:none
Defined Rule Symbols:   1_1, 2_1, 4_1, 3_1, 0_1, encArg_1, encode_0_1, encode_1_1, encode_2_1, encode_3_1, encode_4_1

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

Compound Symbols:   c_2, c1_2, c2_2, c3_2, c4_2, c11_20, c12_20, c13_20, c14_20, c15_20, c16_20, c17_20, c18_20, c19_20, c20_20, c21_20, c22_20, c23_20, c24_20, c25_20, c26_20, c27_20, c28_20, c29_20, c30_20, c31_20, c33_20, c34_20, c35_20, c36_20, c37_20, c38_20, c39_20, c40_20, c41_20, c42_20, c43_20, c44_20, c45_20, c46_20, c47_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_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_20, c94_20, c95_20, c96_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_1(c_1(c_1(c_2(c_4(c_4(c_0(c_3(c_4(c_4(c_0(c_2(c_0(c_4(c_1(c_1(c_2(c_1(z0)))))))))))))))))))) -> 3(1(4(3(2(4(3(3(4(0(0(2(0(3(1(0(1(0(1(2(z0))))))))))))))))))))
   0(c_4(c_0(c_2(c_0(c_1(c_2(c_1(c_4(c_3(c_1(c_4(c_3(c_3(c_1(c_0(c_3(c_3(c_1(c_2(z0)))))))))))))))))))) -> 2(1(0(2(2(4(0(1(4(2(3(4(0(1(2(0(2(4(4(2(z0))))))))))))))))))))
   0(c_1(c_3(c_3(c_3(c_3(c_0(c_1(c_1(c_2(c_0(c_0(c_4(c_4(c_4(c_3(c_1(c_0(c_0(c_2(z0)))))))))))))))))))) -> 2(0(2(4(0(2(3(4(2(0(1(0(0(3(4(3(4(0(3(2(z0))))))))))))))))))))
   0(c_1(c_3(c_1(c_1(c_2(c_3(c_2(c_4(c_3(c_4(c_1(c_1(c_2(c_3(c_1(c_0(c_4(c_2(c_2(z0)))))))))))))))))))) -> 2(2(0(1(1(3(2(0(1(0(2(2(0(4(1(4(2(2(4(2(z0))))))))))))))))))))
   0(c_3(c_4(c_0(c_2(c_0(c_1(c_2(c_3(c_1(c_0(c_4(c_4(c_3(c_1(c_4(c_1(c_3(c_0(c_2(z0)))))))))))))))))))) -> 4(0(4(4(3(3(0(0(3(4(3(4(0(1(4(1(1(4(3(2(z0))))))))))))))))))))
   0(c_4(c_3(c_2(c_4(c_4(c_3(c_4(c_1(c_3(c_3(c_2(c_3(c_1(c_0(c_1(c_2(c_1(c_2(c_2(z0)))))))))))))))))))) -> 1(1(4(0(4(1(1(0(0(1(2(4(0(3(2(4(2(0(3(2(z0))))))))))))))))))))
   0(c_1(c_3(c_2(c_3(c_1(c_0(c_0(c_0(c_3(c_3(c_2(c_3(c_3(c_2(c_1(c_0(c_2(c_1(c_2(z0)))))))))))))))))))) -> 0(0(3(4(0(2(2(4(0(4(2(1(3(4(1(3(2(0(2(1(z0))))))))))))))))))))
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   1(z0) -> c_1(z0)
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   1(c_2(c_0(c_4(c_1(c_4(c_3(c_0(c_0(c_0(c_3(c_2(c_4(c_4(c_1(c_3(c_0(c_2(c_3(c_2(z0)))))))))))))))))))) -> 1(3(2(2(0(3(2(0(0(2(4(0(1(4(2(0(2(0(1(2(z0))))))))))))))))))))
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   1(c_1(c_2(c_3(c_0(c_3(c_4(c_2(c_1(c_2(c_4(c_0(c_3(c_2(c_3(c_4(c_4(c_4(c_3(c_2(z0)))))))))))))))))))) -> 3(4(2(1(1(1(4(4(0(0(0(3(0(4(1(4(3(2(4(2(z0))))))))))))))))))))
   1(c_0(c_3(c_4(c_4(c_4(c_4(c_4(c_1(c_3(c_0(c_1(c_2(c_0(c_2(c_0(c_1(c_1(c_3(c_2(z0)))))))))))))))))))) -> 0(1(3(2(1(3(4(1(4(2(4(0(2(4(2(3(0(0(2(1(z0))))))))))))))))))))
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   1(c_3(c_3(c_1(c_0(c_0(c_1(c_1(c_3(c_2(c_3(c_0(c_0(c_0(c_1(c_1(c_1(c_1(c_0(c_2(z0)))))))))))))))))))) -> 1(3(0(4(1(1(4(3(4(2(4(4(3(3(3(2(0(2(2(1(z0))))))))))))))))))))
   1(c_0(c_4(c_1(c_4(c_1(c_2(c_2(c_0(c_0(c_0(c_4(c_0(c_1(c_1(c_2(c_3(c_3(c_3(c_2(z0)))))))))))))))))))) -> 2(2(2(2(4(0(2(3(1(0(2(2(1(4(0(4(1(1(1(2(z0))))))))))))))))))))
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   1(c_4(c_1(c_3(c_1(c_1(c_0(c_0(c_0(c_0(c_4(c_3(c_0(c_0(c_2(c_0(c_2(c_1(c_1(c_1(z0)))))))))))))))))))) -> 2(1(4(2(0(0(3(3(4(3(0(2(4(1(0(2(4(4(2(1(z0))))))))))))))))))))
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   1(c_3(c_0(c_1(c_3(c_2(c_0(c_4(c_0(c_2(c_0(c_4(c_2(c_0(c_4(c_0(c_2(c_4(c_0(c_2(z0)))))))))))))))))))) -> 4(3(0(3(2(2(1(3(4(0(1(0(1(2(0(1(1(4(4(2(z0))))))))))))))))))))
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   2(z0) -> c_2(z0)
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   2(c_3(c_4(c_2(c_2(c_3(c_3(c_4(c_3(c_2(c_0(c_2(c_1(c_0(c_2(c_1(c_4(c_1(c_3(c_2(z0)))))))))))))))))))) -> 1(4(0(4(1(3(1(1(1(1(3(0(1(0(4(1(4(2(1(1(z0))))))))))))))))))))
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   2(c_1(c_0(c_1(c_0(c_4(c_2(c_1(c_1(c_1(c_3(c_0(c_4(c_2(c_2(c_0(c_2(c_3(c_2(c_2(z0)))))))))))))))))))) -> 3(2(0(3(1(3(1(2(1(2(1(1(1(3(1(1(4(1(3(2(z0))))))))))))))))))))
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   2(c_4(c_2(c_0(c_3(c_2(c_2(c_4(c_4(c_3(c_0(c_1(c_0(c_3(c_2(c_3(c_2(c_2(c_4(c_2(z0)))))))))))))))))))) -> 3(0(4(0(2(4(1(0(3(2(3(0(0(2(4(2(4(1(0(2(z0))))))))))))))))))))
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   2(c_1(c_3(c_4(c_1(c_3(c_3(c_4(c_2(c_0(c_0(c_1(c_0(c_1(c_2(c_0(c_1(c_0(c_4(c_2(z0)))))))))))))))))))) -> 2(1(1(2(1(1(0(1(4(0(1(3(2(1(2(4(0(1(2(2(z0))))))))))))))))))))
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   2(c_4(c_0(c_4(c_3(c_1(c_2(c_1(c_2(c_2(c_3(c_0(c_1(c_0(c_1(c_3(c_1(c_3(c_3(c_2(z0)))))))))))))))))))) -> 0(2(4(4(1(4(1(4(2(2(2(4(3(3(3(1(1(0(1(2(z0))))))))))))))))))))
   2(c_0(c_1(c_1(c_0(c_0(c_4(c_2(c_3(c_1(c_0(c_2(c_3(c_0(c_3(c_4(c_0(c_3(c_3(c_2(z0)))))))))))))))))))) -> 3(4(1(3(2(0(3(0(4(1(2(4(0(4(4(1(3(2(0(2(z0))))))))))))))))))))
   2(c_2(c_1(c_0(c_1(c_1(c_2(c_0(c_2(c_2(c_0(c_2(c_2(c_1(c_3(c_0(c_4(c_4(c_1(c_2(z0)))))))))))))))))))) -> 1(2(1(2(4(0(2(1(2(0(3(1(1(2(2(4(4(3(1(2(z0))))))))))))))))))))
   2(c_1(c_2(c_3(c_4(c_4(c_0(c_2(c_3(c_2(c_0(c_3(c_2(c_4(c_4(c_4(c_2(c_4(c_2(c_2(z0)))))))))))))))))))) -> 1(1(3(3(1(3(3(2(2(1(4(1(2(2(4(1(2(2(3(2(z0))))))))))))))))))))
   2(c_0(c_4(c_3(c_4(c_0(c_2(c_1(c_3(c_2(c_0(c_3(c_2(c_0(c_1(c_0(c_4(c_4(c_2(c_2(z0)))))))))))))))))))) -> 4(0(3(2(4(0(1(1(2(4(0(4(4(0(4(2(3(2(2(2(z0))))))))))))))))))))
   2(c_0(c_4(c_4(c_2(c_1(c_3(c_3(c_3(c_2(c_0(c_0(c_2(c_3(c_3(c_1(c_4(c_2(c_3(c_2(z0)))))))))))))))))))) -> 0(0(2(1(2(1(2(0(2(4(1(4(1(3(0(1(2(0(3(2(z0))))))))))))))))))))
   2(c_4(c_0(c_3(c_4(c_1(c_1(c_4(c_0(c_2(c_2(c_2(c_3(c_4(c_4(c_3(c_3(c_3(c_0(c_2(z0)))))))))))))))))))) -> 0(1(0(0(1(1(4(3(3(0(4(2(4(1(1(3(2(2(2(2(z0))))))))))))))))))))
   2(c_0(c_0(c_1(c_2(c_3(c_2(c_3(c_0(c_1(c_2(c_4(c_2(c_2(c_1(c_0(c_0(c_3(c_2(c_1(z0)))))))))))))))))))) -> 2(4(0(1(1(2(3(0(0(4(3(0(1(0(4(2(4(3(4(2(z0))))))))))))))))))))
   2(c_0(c_2(c_1(c_3(c_3(c_4(c_0(c_1(c_1(c_2(c_0(c_3(c_1(c_3(c_0(c_1(c_2(c_1(c_2(z0)))))))))))))))))))) -> 2(2(2(0(1(1(4(3(2(0(2(3(3(3(1(1(2(2(4(2(z0))))))))))))))))))))
   2(c_2(c_1(c_2(c_3(c_3(c_2(c_0(c_3(c_0(c_2(c_0(c_4(c_2(c_4(c_1(c_2(c_3(c_0(c_2(z0)))))))))))))))))))) -> 0(4(1(0(2(2(1(0(3(3(4(2(1(4(1(2(1(4(1(2(z0))))))))))))))))))))
   2(c_1(c_2(c_0(c_3(c_1(c_4(c_2(c_3(c_0(c_1(c_1(c_4(c_4(c_2(c_0(c_4(c_3(c_2(c_1(z0)))))))))))))))))))) -> 1(2(3(4(0(1(4(3(1(1(1(4(1(4(0(0(2(1(4(2(z0))))))))))))))))))))
   3(z0) -> c_3(z0)
   3(c_0(c_2(c_3(c_3(c_2(c_0(c_2(c_0(c_1(c_2(c_4(c_3(c_3(c_1(c_4(c_4(c_0(c_2(c_1(z0)))))))))))))))))))) -> 2(0(2(1(1(1(3(3(0(4(2(4(3(0(1(1(1(4(1(2(z0))))))))))))))))))))
   3(c_2(c_1(c_1(c_1(c_4(c_2(c_4(c_0(c_3(c_1(c_3(c_0(c_2(c_3(c_0(c_4(c_0(c_3(c_2(z0)))))))))))))))))))) -> 3(0(3(0(4(3(2(2(1(1(4(4(4(3(0(2(4(2(2(2(z0))))))))))))))))))))
   3(c_3(c_0(c_2(c_0(c_0(c_1(c_3(c_0(c_2(c_2(c_2(c_4(c_0(c_3(c_1(c_1(c_0(c_0(c_2(z0)))))))))))))))))))) -> 4(0(2(1(3(2(4(0(1(4(1(1(0(2(0(0(2(2(4(2(z0))))))))))))))))))))
   3(c_1(c_0(c_2(c_3(c_2(c_2(c_4(c_3(c_0(c_2(c_0(c_4(c_2(c_1(c_0(c_2(c_1(c_1(c_1(z0)))))))))))))))))))) -> 1(4(0(1(0(4(1(1(3(4(3(2(4(4(3(2(1(1(2(2(z0))))))))))))))))))))
   3(c_3(c_0(c_4(c_4(c_2(c_4(c_0(c_4(c_0(c_4(c_2(c_0(c_2(c_2(c_2(c_4(c_0(c_3(c_2(z0)))))))))))))))))))) -> 0(1(0(1(1(1(4(4(0(1(3(2(2(4(1(4(3(4(2(2(z0))))))))))))))))))))
   3(c_2(c_3(c_3(c_3(c_4(c_1(c_2(c_1(c_2(c_1(c_2(c_1(c_3(c_1(c_1(c_0(c_1(c_4(c_2(z0)))))))))))))))))))) -> 3(0(1(0(0(4(4(4(4(2(4(4(4(3(0(0(2(1(4(2(z0))))))))))))))))))))
   3(c_2(c_1(c_0(c_4(c_1(c_2(c_2(c_0(c_3(c_4(c_3(c_2(c_3(c_4(c_1(c_4(c_0(c_1(c_2(z0)))))))))))))))))))) -> 0(2(4(3(3(2(4(3(3(3(1(2(2(3(4(3(4(3(4(2(z0))))))))))))))))))))
   3(c_2(c_4(c_3(c_2(c_2(c_0(c_2(c_3(c_4(c_0(c_1(c_0(c_4(c_3(c_0(c_3(c_0(c_4(c_2(z0)))))))))))))))))))) -> 0(1(2(0(4(2(3(1(4(0(1(1(0(0(1(1(0(1(1(2(z0))))))))))))))))))))
   3(c_1(c_1(c_2(c_4(c_3(c_1(c_2(c_3(c_0(c_1(c_1(c_1(c_2(c_2(c_3(c_1(c_1(c_3(c_2(z0)))))))))))))))))))) -> 4(0(0(1(3(0(1(1(2(4(2(4(3(4(1(4(0(0(0(2(z0))))))))))))))))))))
   3(c_1(c_1(c_1(c_3(c_3(c_0(c_1(c_3(c_4(c_4(c_2(c_2(c_3(c_1(c_3(c_3(c_4(c_1(c_2(z0)))))))))))))))))))) -> 1(4(1(1(2(1(1(3(4(1(4(2(0(0(2(2(3(2(2(2(z0))))))))))))))))))))
   3(c_0(c_4(c_3(c_2(c_3(c_3(c_2(c_3(c_0(c_1(c_0(c_1(c_0(c_1(c_3(c_1(c_4(c_2(c_1(z0)))))))))))))))))))) -> 4(1(3(2(1(4(1(0(1(3(3(1(4(4(0(4(2(1(1(2(z0))))))))))))))))))))
   3(c_4(c_2(c_2(c_4(c_4(c_0(c_3(c_1(c_4(c_1(c_0(c_4(c_0(c_1(c_0(c_2(c_1(c_0(c_2(z0)))))))))))))))))))) -> 0(2(4(1(2(0(3(0(2(3(4(1(1(4(0(3(3(2(4(2(z0))))))))))))))))))))
   3(c_3(c_3(c_4(c_1(c_1(c_4(c_2(c_3(c_0(c_3(c_4(c_4(c_1(c_2(c_3(c_4(c_1(c_4(c_2(z0)))))))))))))))))))) -> 0(2(4(3(1(2(3(4(1(2(0(1(1(3(3(4(1(0(1(2(z0))))))))))))))))))))
   3(c_4(c_0(c_2(c_2(c_1(c_1(c_0(c_3(c_3(c_1(c_3(c_2(c_2(c_2(c_1(c_1(c_2(c_0(c_2(z0)))))))))))))))))))) -> 3(0(2(3(4(2(0(2(1(4(0(3(3(2(4(1(2(4(1(2(z0))))))))))))))))))))
   3(c_4(c_4(c_2(c_1(c_1(c_4(c_3(c_4(c_3(c_0(c_3(c_3(c_3(c_2(c_2(c_0(c_3(c_1(c_2(z0)))))))))))))))))))) -> 2(4(0(3(2(3(1(4(3(2(2(2(0(1(0(2(3(2(3(2(z0))))))))))))))))))))
   3(c_2(c_0(c_3(c_4(c_3(c_1(c_1(c_3(c_2(c_0(c_3(c_0(c_0(c_0(c_1(c_4(c_2(c_4(c_1(z0)))))))))))))))))))) -> 3(3(2(0(2(4(3(0(0(3(3(0(1(2(4(1(0(0(2(1(z0))))))))))))))))))))
   3(c_3(c_3(c_1(c_3(c_4(c_3(c_0(c_3(c_1(c_3(c_2(c_2(c_4(c_0(c_3(c_4(c_2(c_0(c_2(z0)))))))))))))))))))) -> 4(0(4(1(0(2(4(3(4(2(3(2(3(3(3(0(1(0(4(2(z0))))))))))))))))))))
   3(c_0(c_3(c_0(c_0(c_0(c_2(c_0(c_1(c_2(c_2(c_4(c_0(c_1(c_2(c_0(c_3(c_2(c_2(c_2(z0)))))))))))))))))))) -> 4(4(2(4(4(2(4(1(4(4(2(0(3(2(1(4(4(2(4(2(z0))))))))))))))))))))
   3(c_2(c_0(c_1(c_4(c_3(c_0(c_2(c_0(c_2(c_2(c_3(c_0(c_1(c_4(c_2(c_1(c_1(c_1(c_2(z0)))))))))))))))))))) -> 0(3(1(2(2(2(4(0(3(0(0(3(2(4(4(2(4(3(2(1(z0))))))))))))))))))))
   3(c_1(c_1(c_2(c_0(c_3(c_2(c_0(c_4(c_0(c_0(c_4(c_3(c_4(c_3(c_1(c_1(c_2(c_1(c_1(z0)))))))))))))))))))) -> 4(2(0(1(2(4(3(4(4(3(3(3(1(1(3(0(4(3(4(2(z0))))))))))))))))))))
   3(c_3(c_3(c_2(c_1(c_1(c_3(c_3(c_4(c_2(c_4(c_3(c_2(c_2(c_0(c_3(c_0(c_4(c_2(c_2(z0)))))))))))))))))))) -> 1(3(4(2(4(4(4(3(2(4(4(0(3(3(4(0(4(2(2(1(z0))))))))))))))))))))
   3(c_0(c_1(c_2(c_3(c_0(c_1(c_2(c_2(c_2(c_0(c_2(c_3(c_3(c_3(c_4(c_3(c_3(c_2(c_1(z0)))))))))))))))))))) -> 0(2(3(1(3(1(0(1(2(1(1(1(1(3(3(4(4(0(3(2(z0))))))))))))))))))))
   3(c_2(c_3(c_1(c_0(c_1(c_4(c_2(c_4(c_3(c_1(c_0(c_4(c_1(c_4(c_3(c_3(c_1(c_0(c_2(z0)))))))))))))))))))) -> 0(0(1(2(2(0(4(4(4(1(0(2(4(1(4(4(0(1(1(2(z0))))))))))))))))))))
   3(c_1(c_3(c_2(c_2(c_4(c_1(c_0(c_3(c_1(c_3(c_0(c_2(c_0(c_0(c_0(c_3(c_3(c_2(c_1(z0)))))))))))))))))))) -> 1(3(0(2(1(3(2(1(4(2(2(2(3(4(4(0(2(4(3(2(z0))))))))))))))))))))
   4(z0) -> c_4(z0)
   4(c_2(c_3(c_0(c_3(c_4(c_1(c_1(c_1(c_1(c_0(c_4(c_1(c_1(c_1(c_3(c_4(c_4(c_2(c_2(z0)))))))))))))))))))) -> 2(0(3(3(2(4(4(2(1(1(4(1(1(0(0(2(4(0(0(2(z0))))))))))))))))))))
   4(c_1(c_1(c_3(c_2(c_3(c_0(c_3(c_3(c_3(c_4(c_2(c_4(c_4(c_4(c_1(c_0(c_2(c_0(c_2(z0)))))))))))))))))))) -> 4(4(4(4(1(0(0(3(1(4(0(4(4(0(3(0(1(3(2(2(z0))))))))))))))))))))
   4(c_2(c_1(c_1(c_0(c_1(c_0(c_0(c_2(c_0(c_3(c_2(c_1(c_0(c_0(c_3(c_0(c_1(c_2(c_2(z0)))))))))))))))))))) -> 0(0(4(1(0(1(4(2(4(1(0(0(0(1(4(1(3(3(2(1(z0))))))))))))))))))))
   4(c_3(c_0(c_3(c_2(c_3(c_0(c_4(c_3(c_1(c_3(c_4(c_2(c_0(c_3(c_4(c_3(c_2(c_2(c_1(z0)))))))))))))))))))) -> 0(3(4(3(3(2(4(1(0(0(1(0(0(2(0(3(2(0(2(2(z0))))))))))))))))))))
   4(c_0(c_1(c_3(c_3(c_2(c_4(c_3(c_3(c_2(c_0(c_0(c_1(c_2(c_3(c_4(c_2(c_3(c_3(c_2(z0)))))))))))))))))))) -> 2(4(3(0(3(0(1(4(2(1(4(3(2(1(3(2(3(1(2(2(z0))))))))))))))))))))
   4(c_4(c_3(c_1(c_1(c_3(c_4(c_3(c_2(c_3(c_1(c_1(c_0(c_0(c_0(c_0(c_0(c_0(c_2(c_1(z0)))))))))))))))))))) -> 0(4(0(1(3(0(2(4(3(1(2(2(3(2(0(0(4(4(1(2(z0))))))))))))))))))))
   4(c_4(c_3(c_3(c_4(c_0(c_1(c_0(c_1(c_4(c_0(c_0(c_2(c_3(c_3(c_4(c_0(c_0(c_2(c_1(z0)))))))))))))))))))) -> 1(0(1(2(0(1(1(1(1(2(0(0(1(4(3(2(2(4(3(2(z0))))))))))))))))))))
   4(c_3(c_3(c_0(c_2(c_4(c_1(c_2(c_2(c_3(c_0(c_0(c_2(c_0(c_0(c_1(c_0(c_3(c_1(c_2(z0)))))))))))))))))))) -> 4(0(2(3(1(1(4(3(3(1(1(4(0(2(3(2(2(0(1(2(z0))))))))))))))))))))
   4(c_3(c_4(c_0(c_2(c_4(c_3(c_2(c_3(c_3(c_1(c_3(c_3(c_4(c_2(c_4(c_0(c_4(c_1(c_2(z0)))))))))))))))))))) -> 4(4(3(4(1(0(4(4(3(0(2(1(4(2(1(1(4(4(1(2(z0))))))))))))))))))))
   4(c_4(c_2(c_4(c_0(c_0(c_2(c_3(c_4(c_3(c_3(c_1(c_4(c_2(c_2(c_3(c_1(c_0(c_2(c_1(z0)))))))))))))))))))) -> 4(4(1(4(4(4(1(1(4(0(2(3(2(3(1(2(2(1(2(1(z0))))))))))))))))))))
   4(c_1(c_3(c_4(c_3(c_2(c_2(c_1(c_1(c_2(c_3(c_0(c_4(c_1(c_1(c_3(c_4(c_3(c_4(c_2(z0)))))))))))))))))))) -> 2(4(2(1(1(4(0(2(3(0(0(4(2(4(4(0(3(3(1(2(z0))))))))))))))))))))
   4(c_1(c_0(c_2(c_0(c_0(c_0(c_2(c_3(c_4(c_0(c_4(c_2(c_0(c_2(c_0(c_3(c_4(c_3(c_2(z0)))))))))))))))))))) -> 2(1(1(1(4(2(2(0(0(4(1(2(2(2(0(0(2(4(0(2(z0))))))))))))))))))))
   4(c_1(c_1(c_4(c_4(c_0(c_1(c_2(c_1(c_0(c_0(c_4(c_4(c_2(c_3(c_3(c_3(c_1(c_3(c_2(z0)))))))))))))))))))) -> 3(1(0(4(2(4(4(1(2(4(3(3(2(2(1(4(3(3(4(2(z0))))))))))))))))))))
   4(c_3(c_1(c_0(c_2(c_1(c_0(c_4(c_4(c_0(c_3(c_1(c_0(c_0(c_3(c_0(c_4(c_3(c_1(c_2(z0)))))))))))))))))))) -> 0(1(3(4(0(2(0(0(3(0(0(3(1(2(4(3(1(1(3(2(z0))))))))))))))))))))
   4(c_0(c_1(c_4(c_1(c_2(c_1(c_3(c_4(c_2(c_4(c_3(c_3(c_2(c_1(c_1(c_4(c_4(c_2(c_2(z0)))))))))))))))))))) -> 4(2(3(4(2(4(1(1(1(2(0(1(1(4(0(0(1(3(2(1(z0))))))))))))))))))))
   4(c_3(c_1(c_1(c_2(c_2(c_1(c_3(c_1(c_0(c_0(c_1(c_1(c_0(c_4(c_2(c_3(c_3(c_0(c_2(z0)))))))))))))))))))) -> 0(3(3(1(4(1(1(2(1(2(1(3(1(3(1(4(2(2(4(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_1(c_1(c_1(c_2(c_4(c_4(c_0(c_3(c_4(c_4(c_0(c_2(c_0(c_4(c_1(c_1(c_2(c_1(z0)))))))))))))))))))) -> c11(3'(1(4(3(2(4(3(3(4(0(0(2(0(3(1(0(1(0(1(2(z0)))))))))))))))))))), 1'(4(3(2(4(3(3(4(0(0(2(0(3(1(0(1(0(1(2(z0))))))))))))))))))), 4'(3(2(4(3(3(4(0(0(2(0(3(1(0(1(0(1(2(z0)))))))))))))))))), 3'(2(4(3(3(4(0(0(2(0(3(1(0(1(0(1(2(z0))))))))))))))))), 2'(4(3(3(4(0(0(2(0(3(1(0(1(0(1(2(z0)))))))))))))))), 4'(3(3(4(0(0(2(0(3(1(0(1(0(1(2(z0))))))))))))))), 3'(3(4(0(0(2(0(3(1(0(1(0(1(2(z0)))))))))))))), 3'(4(0(0(2(0(3(1(0(1(0(1(2(z0))))))))))))), 4'(0(0(2(0(3(1(0(1(0(1(2(z0)))))))))))), 0'(0(2(0(3(1(0(1(0(1(2(z0))))))))))), 0'(2(0(3(1(0(1(0(1(2(z0)))))))))), 2'(0(3(1(0(1(0(1(2(z0))))))))), 0'(3(1(0(1(0(1(2(z0)))))))), 3'(1(0(1(0(1(2(z0))))))), 1'(0(1(0(1(2(z0)))))), 0'(1(0(1(2(z0))))), 1'(0(1(2(z0)))), 0'(1(2(z0))), 1'(2(z0)), 2'(z0))
   0'(c_4(c_0(c_2(c_0(c_1(c_2(c_1(c_4(c_3(c_1(c_4(c_3(c_3(c_1(c_0(c_3(c_3(c_1(c_2(z0)))))))))))))))))))) -> c12(2'(1(0(2(2(4(0(1(4(2(3(4(0(1(2(0(2(4(4(2(z0)))))))))))))))))))), 1'(0(2(2(4(0(1(4(2(3(4(0(1(2(0(2(4(4(2(z0))))))))))))))))))), 0'(2(2(4(0(1(4(2(3(4(0(1(2(0(2(4(4(2(z0)))))))))))))))))), 2'(2(4(0(1(4(2(3(4(0(1(2(0(2(4(4(2(z0))))))))))))))))), 2'(4(0(1(4(2(3(4(0(1(2(0(2(4(4(2(z0)))))))))))))))), 4'(0(1(4(2(3(4(0(1(2(0(2(4(4(2(z0))))))))))))))), 0'(1(4(2(3(4(0(1(2(0(2(4(4(2(z0)))))))))))))), 1'(4(2(3(4(0(1(2(0(2(4(4(2(z0))))))))))))), 4'(2(3(4(0(1(2(0(2(4(4(2(z0)))))))))))), 2'(3(4(0(1(2(0(2(4(4(2(z0))))))))))), 3'(4(0(1(2(0(2(4(4(2(z0)))))))))), 4'(0(1(2(0(2(4(4(2(z0))))))))), 0'(1(2(0(2(4(4(2(z0)))))))), 1'(2(0(2(4(4(2(z0))))))), 2'(0(2(4(4(2(z0)))))), 0'(2(4(4(2(z0))))), 2'(4(4(2(z0)))), 4'(4(2(z0))), 4'(2(z0)), 2'(z0))
   0'(c_1(c_3(c_3(c_3(c_3(c_0(c_1(c_1(c_2(c_0(c_0(c_4(c_4(c_4(c_3(c_1(c_0(c_0(c_2(z0)))))))))))))))))))) -> c13(2'(0(2(4(0(2(3(4(2(0(1(0(0(3(4(3(4(0(3(2(z0)))))))))))))))))))), 0'(2(4(0(2(3(4(2(0(1(0(0(3(4(3(4(0(3(2(z0))))))))))))))))))), 2'(4(0(2(3(4(2(0(1(0(0(3(4(3(4(0(3(2(z0)))))))))))))))))), 4'(0(2(3(4(2(0(1(0(0(3(4(3(4(0(3(2(z0))))))))))))))))), 0'(2(3(4(2(0(1(0(0(3(4(3(4(0(3(2(z0)))))))))))))))), 2'(3(4(2(0(1(0(0(3(4(3(4(0(3(2(z0))))))))))))))), 3'(4(2(0(1(0(0(3(4(3(4(0(3(2(z0)))))))))))))), 4'(2(0(1(0(0(3(4(3(4(0(3(2(z0))))))))))))), 2'(0(1(0(0(3(4(3(4(0(3(2(z0)))))))))))), 0'(1(0(0(3(4(3(4(0(3(2(z0))))))))))), 1'(0(0(3(4(3(4(0(3(2(z0)))))))))), 0'(0(3(4(3(4(0(3(2(z0))))))))), 0'(3(4(3(4(0(3(2(z0)))))))), 3'(4(3(4(0(3(2(z0))))))), 4'(3(4(0(3(2(z0)))))), 3'(4(0(3(2(z0))))), 4'(0(3(2(z0)))), 0'(3(2(z0))), 3'(2(z0)), 2'(z0))
   0'(c_1(c_3(c_1(c_1(c_2(c_3(c_2(c_4(c_3(c_4(c_1(c_1(c_2(c_3(c_1(c_0(c_4(c_2(c_2(z0)))))))))))))))))))) -> c14(2'(2(0(1(1(3(2(0(1(0(2(2(0(4(1(4(2(2(4(2(z0)))))))))))))))))))), 2'(0(1(1(3(2(0(1(0(2(2(0(4(1(4(2(2(4(2(z0))))))))))))))))))), 0'(1(1(3(2(0(1(0(2(2(0(4(1(4(2(2(4(2(z0)))))))))))))))))), 1'(1(3(2(0(1(0(2(2(0(4(1(4(2(2(4(2(z0))))))))))))))))), 1'(3(2(0(1(0(2(2(0(4(1(4(2(2(4(2(z0)))))))))))))))), 3'(2(0(1(0(2(2(0(4(1(4(2(2(4(2(z0))))))))))))))), 2'(0(1(0(2(2(0(4(1(4(2(2(4(2(z0)))))))))))))), 0'(1(0(2(2(0(4(1(4(2(2(4(2(z0))))))))))))), 1'(0(2(2(0(4(1(4(2(2(4(2(z0)))))))))))), 0'(2(2(0(4(1(4(2(2(4(2(z0))))))))))), 2'(2(0(4(1(4(2(2(4(2(z0)))))))))), 2'(0(4(1(4(2(2(4(2(z0))))))))), 0'(4(1(4(2(2(4(2(z0)))))))), 4'(1(4(2(2(4(2(z0))))))), 1'(4(2(2(4(2(z0)))))), 4'(2(2(4(2(z0))))), 2'(2(4(2(z0)))), 2'(4(2(z0))), 4'(2(z0)), 2'(z0))
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   4'(c_3(c_3(c_0(c_2(c_4(c_1(c_2(c_2(c_3(c_0(c_0(c_2(c_0(c_0(c_1(c_0(c_3(c_1(c_2(z0)))))))))))))))))))) -> c105(4'(0(2(3(1(1(4(3(3(1(1(4(0(2(3(2(2(0(1(2(z0)))))))))))))))))))), 0'(2(3(1(1(4(3(3(1(1(4(0(2(3(2(2(0(1(2(z0))))))))))))))))))), 2'(3(1(1(4(3(3(1(1(4(0(2(3(2(2(0(1(2(z0)))))))))))))))))), 3'(1(1(4(3(3(1(1(4(0(2(3(2(2(0(1(2(z0))))))))))))))))), 1'(1(4(3(3(1(1(4(0(2(3(2(2(0(1(2(z0)))))))))))))))), 1'(4(3(3(1(1(4(0(2(3(2(2(0(1(2(z0))))))))))))))), 4'(3(3(1(1(4(0(2(3(2(2(0(1(2(z0)))))))))))))), 3'(3(1(1(4(0(2(3(2(2(0(1(2(z0))))))))))))), 3'(1(1(4(0(2(3(2(2(0(1(2(z0)))))))))))), 1'(1(4(0(2(3(2(2(0(1(2(z0))))))))))), 1'(4(0(2(3(2(2(0(1(2(z0)))))))))), 4'(0(2(3(2(2(0(1(2(z0))))))))), 0'(2(3(2(2(0(1(2(z0)))))))), 2'(3(2(2(0(1(2(z0))))))), 3'(2(2(0(1(2(z0)))))), 2'(2(0(1(2(z0))))), 2'(0(1(2(z0)))), 0'(1(2(z0))), 1'(2(z0)), 2'(z0))
   4'(c_3(c_4(c_0(c_2(c_4(c_3(c_2(c_3(c_3(c_1(c_3(c_3(c_4(c_2(c_4(c_0(c_4(c_1(c_2(z0)))))))))))))))))))) -> c106(4'(4(3(4(1(0(4(4(3(0(2(1(4(2(1(1(4(4(1(2(z0)))))))))))))))))))), 4'(3(4(1(0(4(4(3(0(2(1(4(2(1(1(4(4(1(2(z0))))))))))))))))))), 3'(4(1(0(4(4(3(0(2(1(4(2(1(1(4(4(1(2(z0)))))))))))))))))), 4'(1(0(4(4(3(0(2(1(4(2(1(1(4(4(1(2(z0))))))))))))))))), 1'(0(4(4(3(0(2(1(4(2(1(1(4(4(1(2(z0)))))))))))))))), 0'(4(4(3(0(2(1(4(2(1(1(4(4(1(2(z0))))))))))))))), 4'(4(3(0(2(1(4(2(1(1(4(4(1(2(z0)))))))))))))), 4'(3(0(2(1(4(2(1(1(4(4(1(2(z0))))))))))))), 3'(0(2(1(4(2(1(1(4(4(1(2(z0)))))))))))), 0'(2(1(4(2(1(1(4(4(1(2(z0))))))))))), 2'(1(4(2(1(1(4(4(1(2(z0)))))))))), 1'(4(2(1(1(4(4(1(2(z0))))))))), 4'(2(1(1(4(4(1(2(z0)))))))), 2'(1(1(4(4(1(2(z0))))))), 1'(1(4(4(1(2(z0)))))), 1'(4(4(1(2(z0))))), 4'(4(1(2(z0)))), 4'(1(2(z0))), 1'(2(z0)), 2'(z0))
   4'(c_4(c_2(c_4(c_0(c_0(c_2(c_3(c_4(c_3(c_3(c_1(c_4(c_2(c_2(c_3(c_1(c_0(c_2(c_1(z0)))))))))))))))))))) -> c107(4'(4(1(4(4(4(1(1(4(0(2(3(2(3(1(2(2(1(2(1(z0)))))))))))))))))))), 4'(1(4(4(4(1(1(4(0(2(3(2(3(1(2(2(1(2(1(z0))))))))))))))))))), 1'(4(4(4(1(1(4(0(2(3(2(3(1(2(2(1(2(1(z0)))))))))))))))))), 4'(4(4(1(1(4(0(2(3(2(3(1(2(2(1(2(1(z0))))))))))))))))), 4'(4(1(1(4(0(2(3(2(3(1(2(2(1(2(1(z0)))))))))))))))), 4'(1(1(4(0(2(3(2(3(1(2(2(1(2(1(z0))))))))))))))), 1'(1(4(0(2(3(2(3(1(2(2(1(2(1(z0)))))))))))))), 1'(4(0(2(3(2(3(1(2(2(1(2(1(z0))))))))))))), 4'(0(2(3(2(3(1(2(2(1(2(1(z0)))))))))))), 0'(2(3(2(3(1(2(2(1(2(1(z0))))))))))), 2'(3(2(3(1(2(2(1(2(1(z0)))))))))), 3'(2(3(1(2(2(1(2(1(z0))))))))), 2'(3(1(2(2(1(2(1(z0)))))))), 3'(1(2(2(1(2(1(z0))))))), 1'(2(2(1(2(1(z0)))))), 2'(2(1(2(1(z0))))), 2'(1(2(1(z0)))), 1'(2(1(z0))), 2'(1(z0)), 1'(z0))
   4'(c_1(c_3(c_4(c_3(c_2(c_2(c_1(c_1(c_2(c_3(c_0(c_4(c_1(c_1(c_3(c_4(c_3(c_4(c_2(z0)))))))))))))))))))) -> c108(2'(4(2(1(1(4(0(2(3(0(0(4(2(4(4(0(3(3(1(2(z0)))))))))))))))))))), 4'(2(1(1(4(0(2(3(0(0(4(2(4(4(0(3(3(1(2(z0))))))))))))))))))), 2'(1(1(4(0(2(3(0(0(4(2(4(4(0(3(3(1(2(z0)))))))))))))))))), 1'(1(4(0(2(3(0(0(4(2(4(4(0(3(3(1(2(z0))))))))))))))))), 1'(4(0(2(3(0(0(4(2(4(4(0(3(3(1(2(z0)))))))))))))))), 4'(0(2(3(0(0(4(2(4(4(0(3(3(1(2(z0))))))))))))))), 0'(2(3(0(0(4(2(4(4(0(3(3(1(2(z0)))))))))))))), 2'(3(0(0(4(2(4(4(0(3(3(1(2(z0))))))))))))), 3'(0(0(4(2(4(4(0(3(3(1(2(z0)))))))))))), 0'(0(4(2(4(4(0(3(3(1(2(z0))))))))))), 0'(4(2(4(4(0(3(3(1(2(z0)))))))))), 4'(2(4(4(0(3(3(1(2(z0))))))))), 2'(4(4(0(3(3(1(2(z0)))))))), 4'(4(0(3(3(1(2(z0))))))), 4'(0(3(3(1(2(z0)))))), 0'(3(3(1(2(z0))))), 3'(3(1(2(z0)))), 3'(1(2(z0))), 1'(2(z0)), 2'(z0))
   4'(c_1(c_0(c_2(c_0(c_0(c_0(c_2(c_3(c_4(c_0(c_4(c_2(c_0(c_2(c_0(c_3(c_4(c_3(c_2(z0)))))))))))))))))))) -> c109(2'(1(1(1(4(2(2(0(0(4(1(2(2(2(0(0(2(4(0(2(z0)))))))))))))))))))), 1'(1(1(4(2(2(0(0(4(1(2(2(2(0(0(2(4(0(2(z0))))))))))))))))))), 1'(1(4(2(2(0(0(4(1(2(2(2(0(0(2(4(0(2(z0)))))))))))))))))), 1'(4(2(2(0(0(4(1(2(2(2(0(0(2(4(0(2(z0))))))))))))))))), 4'(2(2(0(0(4(1(2(2(2(0(0(2(4(0(2(z0)))))))))))))))), 2'(2(0(0(4(1(2(2(2(0(0(2(4(0(2(z0))))))))))))))), 2'(0(0(4(1(2(2(2(0(0(2(4(0(2(z0)))))))))))))), 0'(0(4(1(2(2(2(0(0(2(4(0(2(z0))))))))))))), 0'(4(1(2(2(2(0(0(2(4(0(2(z0)))))))))))), 4'(1(2(2(2(0(0(2(4(0(2(z0))))))))))), 1'(2(2(2(0(0(2(4(0(2(z0)))))))))), 2'(2(2(0(0(2(4(0(2(z0))))))))), 2'(2(0(0(2(4(0(2(z0)))))))), 2'(0(0(2(4(0(2(z0))))))), 0'(0(2(4(0(2(z0)))))), 0'(2(4(0(2(z0))))), 2'(4(0(2(z0)))), 4'(0(2(z0))), 0'(2(z0)), 2'(z0))
   4'(c_1(c_1(c_4(c_4(c_0(c_1(c_2(c_1(c_0(c_0(c_4(c_4(c_2(c_3(c_3(c_3(c_1(c_3(c_2(z0)))))))))))))))))))) -> c110(3'(1(0(4(2(4(4(1(2(4(3(3(2(2(1(4(3(3(4(2(z0)))))))))))))))))))), 1'(0(4(2(4(4(1(2(4(3(3(2(2(1(4(3(3(4(2(z0))))))))))))))))))), 0'(4(2(4(4(1(2(4(3(3(2(2(1(4(3(3(4(2(z0)))))))))))))))))), 4'(2(4(4(1(2(4(3(3(2(2(1(4(3(3(4(2(z0))))))))))))))))), 2'(4(4(1(2(4(3(3(2(2(1(4(3(3(4(2(z0)))))))))))))))), 4'(4(1(2(4(3(3(2(2(1(4(3(3(4(2(z0))))))))))))))), 4'(1(2(4(3(3(2(2(1(4(3(3(4(2(z0)))))))))))))), 1'(2(4(3(3(2(2(1(4(3(3(4(2(z0))))))))))))), 2'(4(3(3(2(2(1(4(3(3(4(2(z0)))))))))))), 4'(3(3(2(2(1(4(3(3(4(2(z0))))))))))), 3'(3(2(2(1(4(3(3(4(2(z0)))))))))), 3'(2(2(1(4(3(3(4(2(z0))))))))), 2'(2(1(4(3(3(4(2(z0)))))))), 2'(1(4(3(3(4(2(z0))))))), 1'(4(3(3(4(2(z0)))))), 4'(3(3(4(2(z0))))), 3'(3(4(2(z0)))), 3'(4(2(z0))), 4'(2(z0)), 2'(z0))
   4'(c_3(c_1(c_0(c_2(c_1(c_0(c_4(c_4(c_0(c_3(c_1(c_0(c_0(c_3(c_0(c_4(c_3(c_1(c_2(z0)))))))))))))))))))) -> c111(0'(1(3(4(0(2(0(0(3(0(0(3(1(2(4(3(1(1(3(2(z0)))))))))))))))))))), 1'(3(4(0(2(0(0(3(0(0(3(1(2(4(3(1(1(3(2(z0))))))))))))))))))), 3'(4(0(2(0(0(3(0(0(3(1(2(4(3(1(1(3(2(z0)))))))))))))))))), 4'(0(2(0(0(3(0(0(3(1(2(4(3(1(1(3(2(z0))))))))))))))))), 0'(2(0(0(3(0(0(3(1(2(4(3(1(1(3(2(z0)))))))))))))))), 2'(0(0(3(0(0(3(1(2(4(3(1(1(3(2(z0))))))))))))))), 0'(0(3(0(0(3(1(2(4(3(1(1(3(2(z0)))))))))))))), 0'(3(0(0(3(1(2(4(3(1(1(3(2(z0))))))))))))), 3'(0(0(3(1(2(4(3(1(1(3(2(z0)))))))))))), 0'(0(3(1(2(4(3(1(1(3(2(z0))))))))))), 0'(3(1(2(4(3(1(1(3(2(z0)))))))))), 3'(1(2(4(3(1(1(3(2(z0))))))))), 1'(2(4(3(1(1(3(2(z0)))))))), 2'(4(3(1(1(3(2(z0))))))), 4'(3(1(1(3(2(z0)))))), 3'(1(1(3(2(z0))))), 1'(1(3(2(z0)))), 1'(3(2(z0))), 3'(2(z0)), 2'(z0))
   4'(c_0(c_1(c_4(c_1(c_2(c_1(c_3(c_4(c_2(c_4(c_3(c_3(c_2(c_1(c_1(c_4(c_4(c_2(c_2(z0)))))))))))))))))))) -> c112(4'(2(3(4(2(4(1(1(1(2(0(1(1(4(0(0(1(3(2(1(z0)))))))))))))))))))), 2'(3(4(2(4(1(1(1(2(0(1(1(4(0(0(1(3(2(1(z0))))))))))))))))))), 3'(4(2(4(1(1(1(2(0(1(1(4(0(0(1(3(2(1(z0)))))))))))))))))), 4'(2(4(1(1(1(2(0(1(1(4(0(0(1(3(2(1(z0))))))))))))))))), 2'(4(1(1(1(2(0(1(1(4(0(0(1(3(2(1(z0)))))))))))))))), 4'(1(1(1(2(0(1(1(4(0(0(1(3(2(1(z0))))))))))))))), 1'(1(1(2(0(1(1(4(0(0(1(3(2(1(z0)))))))))))))), 1'(1(2(0(1(1(4(0(0(1(3(2(1(z0))))))))))))), 1'(2(0(1(1(4(0(0(1(3(2(1(z0)))))))))))), 2'(0(1(1(4(0(0(1(3(2(1(z0))))))))))), 0'(1(1(4(0(0(1(3(2(1(z0)))))))))), 1'(1(4(0(0(1(3(2(1(z0))))))))), 1'(4(0(0(1(3(2(1(z0)))))))), 4'(0(0(1(3(2(1(z0))))))), 0'(0(1(3(2(1(z0)))))), 0'(1(3(2(1(z0))))), 1'(3(2(1(z0)))), 3'(2(1(z0))), 2'(1(z0)), 1'(z0))
   4'(c_3(c_1(c_1(c_2(c_2(c_1(c_3(c_1(c_0(c_0(c_1(c_1(c_0(c_4(c_2(c_3(c_3(c_0(c_2(z0)))))))))))))))))))) -> c113(0'(3(3(1(4(1(1(2(1(2(1(3(1(3(1(4(2(2(4(2(z0)))))))))))))))))))), 3'(3(1(4(1(1(2(1(2(1(3(1(3(1(4(2(2(4(2(z0))))))))))))))))))), 3'(1(4(1(1(2(1(2(1(3(1(3(1(4(2(2(4(2(z0)))))))))))))))))), 1'(4(1(1(2(1(2(1(3(1(3(1(4(2(2(4(2(z0))))))))))))))))), 4'(1(1(2(1(2(1(3(1(3(1(4(2(2(4(2(z0)))))))))))))))), 1'(1(2(1(2(1(3(1(3(1(4(2(2(4(2(z0))))))))))))))), 1'(2(1(2(1(3(1(3(1(4(2(2(4(2(z0)))))))))))))), 2'(1(2(1(3(1(3(1(4(2(2(4(2(z0))))))))))))), 1'(2(1(3(1(3(1(4(2(2(4(2(z0)))))))))))), 2'(1(3(1(3(1(4(2(2(4(2(z0))))))))))), 1'(3(1(3(1(4(2(2(4(2(z0)))))))))), 3'(1(3(1(4(2(2(4(2(z0))))))))), 1'(3(1(4(2(2(4(2(z0)))))))), 3'(1(4(2(2(4(2(z0))))))), 1'(4(2(2(4(2(z0)))))), 4'(2(2(4(2(z0))))), 2'(2(4(2(z0)))), 2'(4(2(z0))), 4'(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_1(c_1(c_1(c_2(c_4(c_4(c_0(c_3(c_4(c_4(c_0(c_2(c_0(c_4(c_1(c_1(c_2(c_1(z0)))))))))))))))))))) -> c11(3'(1(4(3(2(4(3(3(4(0(0(2(0(3(1(0(1(0(1(2(z0)))))))))))))))))))), 1'(4(3(2(4(3(3(4(0(0(2(0(3(1(0(1(0(1(2(z0))))))))))))))))))), 4'(3(2(4(3(3(4(0(0(2(0(3(1(0(1(0(1(2(z0)))))))))))))))))), 3'(2(4(3(3(4(0(0(2(0(3(1(0(1(0(1(2(z0))))))))))))))))), 2'(4(3(3(4(0(0(2(0(3(1(0(1(0(1(2(z0)))))))))))))))), 4'(3(3(4(0(0(2(0(3(1(0(1(0(1(2(z0))))))))))))))), 3'(3(4(0(0(2(0(3(1(0(1(0(1(2(z0)))))))))))))), 3'(4(0(0(2(0(3(1(0(1(0(1(2(z0))))))))))))), 4'(0(0(2(0(3(1(0(1(0(1(2(z0)))))))))))), 0'(0(2(0(3(1(0(1(0(1(2(z0))))))))))), 0'(2(0(3(1(0(1(0(1(2(z0)))))))))), 2'(0(3(1(0(1(0(1(2(z0))))))))), 0'(3(1(0(1(0(1(2(z0)))))))), 3'(1(0(1(0(1(2(z0))))))), 1'(0(1(0(1(2(z0)))))), 0'(1(0(1(2(z0))))), 1'(0(1(2(z0)))), 0'(1(2(z0))), 1'(2(z0)), 2'(z0))
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   4'(c_4(c_3(c_3(c_4(c_0(c_1(c_0(c_1(c_4(c_0(c_0(c_2(c_3(c_3(c_4(c_0(c_0(c_2(c_1(z0)))))))))))))))))))) -> c104(1'(0(1(2(0(1(1(1(1(2(0(0(1(4(3(2(2(4(3(2(z0)))))))))))))))))))), 0'(1(2(0(1(1(1(1(2(0(0(1(4(3(2(2(4(3(2(z0))))))))))))))))))), 1'(2(0(1(1(1(1(2(0(0(1(4(3(2(2(4(3(2(z0)))))))))))))))))), 2'(0(1(1(1(1(2(0(0(1(4(3(2(2(4(3(2(z0))))))))))))))))), 0'(1(1(1(1(2(0(0(1(4(3(2(2(4(3(2(z0)))))))))))))))), 1'(1(1(1(2(0(0(1(4(3(2(2(4(3(2(z0))))))))))))))), 1'(1(1(2(0(0(1(4(3(2(2(4(3(2(z0)))))))))))))), 1'(1(2(0(0(1(4(3(2(2(4(3(2(z0))))))))))))), 1'(2(0(0(1(4(3(2(2(4(3(2(z0)))))))))))), 2'(0(0(1(4(3(2(2(4(3(2(z0))))))))))), 0'(0(1(4(3(2(2(4(3(2(z0)))))))))), 0'(1(4(3(2(2(4(3(2(z0))))))))), 1'(4(3(2(2(4(3(2(z0)))))))), 4'(3(2(2(4(3(2(z0))))))), 3'(2(2(4(3(2(z0)))))), 2'(2(4(3(2(z0))))), 2'(4(3(2(z0)))), 4'(3(2(z0))), 3'(2(z0)), 2'(z0))
   4'(c_3(c_3(c_0(c_2(c_4(c_1(c_2(c_2(c_3(c_0(c_0(c_2(c_0(c_0(c_1(c_0(c_3(c_1(c_2(z0)))))))))))))))))))) -> c105(4'(0(2(3(1(1(4(3(3(1(1(4(0(2(3(2(2(0(1(2(z0)))))))))))))))))))), 0'(2(3(1(1(4(3(3(1(1(4(0(2(3(2(2(0(1(2(z0))))))))))))))))))), 2'(3(1(1(4(3(3(1(1(4(0(2(3(2(2(0(1(2(z0)))))))))))))))))), 3'(1(1(4(3(3(1(1(4(0(2(3(2(2(0(1(2(z0))))))))))))))))), 1'(1(4(3(3(1(1(4(0(2(3(2(2(0(1(2(z0)))))))))))))))), 1'(4(3(3(1(1(4(0(2(3(2(2(0(1(2(z0))))))))))))))), 4'(3(3(1(1(4(0(2(3(2(2(0(1(2(z0)))))))))))))), 3'(3(1(1(4(0(2(3(2(2(0(1(2(z0))))))))))))), 3'(1(1(4(0(2(3(2(2(0(1(2(z0)))))))))))), 1'(1(4(0(2(3(2(2(0(1(2(z0))))))))))), 1'(4(0(2(3(2(2(0(1(2(z0)))))))))), 4'(0(2(3(2(2(0(1(2(z0))))))))), 0'(2(3(2(2(0(1(2(z0)))))))), 2'(3(2(2(0(1(2(z0))))))), 3'(2(2(0(1(2(z0)))))), 2'(2(0(1(2(z0))))), 2'(0(1(2(z0)))), 0'(1(2(z0))), 1'(2(z0)), 2'(z0))
   4'(c_3(c_4(c_0(c_2(c_4(c_3(c_2(c_3(c_3(c_1(c_3(c_3(c_4(c_2(c_4(c_0(c_4(c_1(c_2(z0)))))))))))))))))))) -> c106(4'(4(3(4(1(0(4(4(3(0(2(1(4(2(1(1(4(4(1(2(z0)))))))))))))))))))), 4'(3(4(1(0(4(4(3(0(2(1(4(2(1(1(4(4(1(2(z0))))))))))))))))))), 3'(4(1(0(4(4(3(0(2(1(4(2(1(1(4(4(1(2(z0)))))))))))))))))), 4'(1(0(4(4(3(0(2(1(4(2(1(1(4(4(1(2(z0))))))))))))))))), 1'(0(4(4(3(0(2(1(4(2(1(1(4(4(1(2(z0)))))))))))))))), 0'(4(4(3(0(2(1(4(2(1(1(4(4(1(2(z0))))))))))))))), 4'(4(3(0(2(1(4(2(1(1(4(4(1(2(z0)))))))))))))), 4'(3(0(2(1(4(2(1(1(4(4(1(2(z0))))))))))))), 3'(0(2(1(4(2(1(1(4(4(1(2(z0)))))))))))), 0'(2(1(4(2(1(1(4(4(1(2(z0))))))))))), 2'(1(4(2(1(1(4(4(1(2(z0)))))))))), 1'(4(2(1(1(4(4(1(2(z0))))))))), 4'(2(1(1(4(4(1(2(z0)))))))), 2'(1(1(4(4(1(2(z0))))))), 1'(1(4(4(1(2(z0)))))), 1'(4(4(1(2(z0))))), 4'(4(1(2(z0)))), 4'(1(2(z0))), 1'(2(z0)), 2'(z0))
   4'(c_4(c_2(c_4(c_0(c_0(c_2(c_3(c_4(c_3(c_3(c_1(c_4(c_2(c_2(c_3(c_1(c_0(c_2(c_1(z0)))))))))))))))))))) -> c107(4'(4(1(4(4(4(1(1(4(0(2(3(2(3(1(2(2(1(2(1(z0)))))))))))))))))))), 4'(1(4(4(4(1(1(4(0(2(3(2(3(1(2(2(1(2(1(z0))))))))))))))))))), 1'(4(4(4(1(1(4(0(2(3(2(3(1(2(2(1(2(1(z0)))))))))))))))))), 4'(4(4(1(1(4(0(2(3(2(3(1(2(2(1(2(1(z0))))))))))))))))), 4'(4(1(1(4(0(2(3(2(3(1(2(2(1(2(1(z0)))))))))))))))), 4'(1(1(4(0(2(3(2(3(1(2(2(1(2(1(z0))))))))))))))), 1'(1(4(0(2(3(2(3(1(2(2(1(2(1(z0)))))))))))))), 1'(4(0(2(3(2(3(1(2(2(1(2(1(z0))))))))))))), 4'(0(2(3(2(3(1(2(2(1(2(1(z0)))))))))))), 0'(2(3(2(3(1(2(2(1(2(1(z0))))))))))), 2'(3(2(3(1(2(2(1(2(1(z0)))))))))), 3'(2(3(1(2(2(1(2(1(z0))))))))), 2'(3(1(2(2(1(2(1(z0)))))))), 3'(1(2(2(1(2(1(z0))))))), 1'(2(2(1(2(1(z0)))))), 2'(2(1(2(1(z0))))), 2'(1(2(1(z0)))), 1'(2(1(z0))), 2'(1(z0)), 1'(z0))
   4'(c_1(c_3(c_4(c_3(c_2(c_2(c_1(c_1(c_2(c_3(c_0(c_4(c_1(c_1(c_3(c_4(c_3(c_4(c_2(z0)))))))))))))))))))) -> c108(2'(4(2(1(1(4(0(2(3(0(0(4(2(4(4(0(3(3(1(2(z0)))))))))))))))))))), 4'(2(1(1(4(0(2(3(0(0(4(2(4(4(0(3(3(1(2(z0))))))))))))))))))), 2'(1(1(4(0(2(3(0(0(4(2(4(4(0(3(3(1(2(z0)))))))))))))))))), 1'(1(4(0(2(3(0(0(4(2(4(4(0(3(3(1(2(z0))))))))))))))))), 1'(4(0(2(3(0(0(4(2(4(4(0(3(3(1(2(z0)))))))))))))))), 4'(0(2(3(0(0(4(2(4(4(0(3(3(1(2(z0))))))))))))))), 0'(2(3(0(0(4(2(4(4(0(3(3(1(2(z0)))))))))))))), 2'(3(0(0(4(2(4(4(0(3(3(1(2(z0))))))))))))), 3'(0(0(4(2(4(4(0(3(3(1(2(z0)))))))))))), 0'(0(4(2(4(4(0(3(3(1(2(z0))))))))))), 0'(4(2(4(4(0(3(3(1(2(z0)))))))))), 4'(2(4(4(0(3(3(1(2(z0))))))))), 2'(4(4(0(3(3(1(2(z0)))))))), 4'(4(0(3(3(1(2(z0))))))), 4'(0(3(3(1(2(z0)))))), 0'(3(3(1(2(z0))))), 3'(3(1(2(z0)))), 3'(1(2(z0))), 1'(2(z0)), 2'(z0))
   4'(c_1(c_0(c_2(c_0(c_0(c_0(c_2(c_3(c_4(c_0(c_4(c_2(c_0(c_2(c_0(c_3(c_4(c_3(c_2(z0)))))))))))))))))))) -> c109(2'(1(1(1(4(2(2(0(0(4(1(2(2(2(0(0(2(4(0(2(z0)))))))))))))))))))), 1'(1(1(4(2(2(0(0(4(1(2(2(2(0(0(2(4(0(2(z0))))))))))))))))))), 1'(1(4(2(2(0(0(4(1(2(2(2(0(0(2(4(0(2(z0)))))))))))))))))), 1'(4(2(2(0(0(4(1(2(2(2(0(0(2(4(0(2(z0))))))))))))))))), 4'(2(2(0(0(4(1(2(2(2(0(0(2(4(0(2(z0)))))))))))))))), 2'(2(0(0(4(1(2(2(2(0(0(2(4(0(2(z0))))))))))))))), 2'(0(0(4(1(2(2(2(0(0(2(4(0(2(z0)))))))))))))), 0'(0(4(1(2(2(2(0(0(2(4(0(2(z0))))))))))))), 0'(4(1(2(2(2(0(0(2(4(0(2(z0)))))))))))), 4'(1(2(2(2(0(0(2(4(0(2(z0))))))))))), 1'(2(2(2(0(0(2(4(0(2(z0)))))))))), 2'(2(2(0(0(2(4(0(2(z0))))))))), 2'(2(0(0(2(4(0(2(z0)))))))), 2'(0(0(2(4(0(2(z0))))))), 0'(0(2(4(0(2(z0)))))), 0'(2(4(0(2(z0))))), 2'(4(0(2(z0)))), 4'(0(2(z0))), 0'(2(z0)), 2'(z0))
   4'(c_1(c_1(c_4(c_4(c_0(c_1(c_2(c_1(c_0(c_0(c_4(c_4(c_2(c_3(c_3(c_3(c_1(c_3(c_2(z0)))))))))))))))))))) -> c110(3'(1(0(4(2(4(4(1(2(4(3(3(2(2(1(4(3(3(4(2(z0)))))))))))))))))))), 1'(0(4(2(4(4(1(2(4(3(3(2(2(1(4(3(3(4(2(z0))))))))))))))))))), 0'(4(2(4(4(1(2(4(3(3(2(2(1(4(3(3(4(2(z0)))))))))))))))))), 4'(2(4(4(1(2(4(3(3(2(2(1(4(3(3(4(2(z0))))))))))))))))), 2'(4(4(1(2(4(3(3(2(2(1(4(3(3(4(2(z0)))))))))))))))), 4'(4(1(2(4(3(3(2(2(1(4(3(3(4(2(z0))))))))))))))), 4'(1(2(4(3(3(2(2(1(4(3(3(4(2(z0)))))))))))))), 1'(2(4(3(3(2(2(1(4(3(3(4(2(z0))))))))))))), 2'(4(3(3(2(2(1(4(3(3(4(2(z0)))))))))))), 4'(3(3(2(2(1(4(3(3(4(2(z0))))))))))), 3'(3(2(2(1(4(3(3(4(2(z0)))))))))), 3'(2(2(1(4(3(3(4(2(z0))))))))), 2'(2(1(4(3(3(4(2(z0)))))))), 2'(1(4(3(3(4(2(z0))))))), 1'(4(3(3(4(2(z0)))))), 4'(3(3(4(2(z0))))), 3'(3(4(2(z0)))), 3'(4(2(z0))), 4'(2(z0)), 2'(z0))
   4'(c_3(c_1(c_0(c_2(c_1(c_0(c_4(c_4(c_0(c_3(c_1(c_0(c_0(c_3(c_0(c_4(c_3(c_1(c_2(z0)))))))))))))))))))) -> c111(0'(1(3(4(0(2(0(0(3(0(0(3(1(2(4(3(1(1(3(2(z0)))))))))))))))))))), 1'(3(4(0(2(0(0(3(0(0(3(1(2(4(3(1(1(3(2(z0))))))))))))))))))), 3'(4(0(2(0(0(3(0(0(3(1(2(4(3(1(1(3(2(z0)))))))))))))))))), 4'(0(2(0(0(3(0(0(3(1(2(4(3(1(1(3(2(z0))))))))))))))))), 0'(2(0(0(3(0(0(3(1(2(4(3(1(1(3(2(z0)))))))))))))))), 2'(0(0(3(0(0(3(1(2(4(3(1(1(3(2(z0))))))))))))))), 0'(0(3(0(0(3(1(2(4(3(1(1(3(2(z0)))))))))))))), 0'(3(0(0(3(1(2(4(3(1(1(3(2(z0))))))))))))), 3'(0(0(3(1(2(4(3(1(1(3(2(z0)))))))))))), 0'(0(3(1(2(4(3(1(1(3(2(z0))))))))))), 0'(3(1(2(4(3(1(1(3(2(z0)))))))))), 3'(1(2(4(3(1(1(3(2(z0))))))))), 1'(2(4(3(1(1(3(2(z0)))))))), 2'(4(3(1(1(3(2(z0))))))), 4'(3(1(1(3(2(z0)))))), 3'(1(1(3(2(z0))))), 1'(1(3(2(z0)))), 1'(3(2(z0))), 3'(2(z0)), 2'(z0))
   4'(c_0(c_1(c_4(c_1(c_2(c_1(c_3(c_4(c_2(c_4(c_3(c_3(c_2(c_1(c_1(c_4(c_4(c_2(c_2(z0)))))))))))))))))))) -> c112(4'(2(3(4(2(4(1(1(1(2(0(1(1(4(0(0(1(3(2(1(z0)))))))))))))))))))), 2'(3(4(2(4(1(1(1(2(0(1(1(4(0(0(1(3(2(1(z0))))))))))))))))))), 3'(4(2(4(1(1(1(2(0(1(1(4(0(0(1(3(2(1(z0)))))))))))))))))), 4'(2(4(1(1(1(2(0(1(1(4(0(0(1(3(2(1(z0))))))))))))))))), 2'(4(1(1(1(2(0(1(1(4(0(0(1(3(2(1(z0)))))))))))))))), 4'(1(1(1(2(0(1(1(4(0(0(1(3(2(1(z0))))))))))))))), 1'(1(1(2(0(1(1(4(0(0(1(3(2(1(z0)))))))))))))), 1'(1(2(0(1(1(4(0(0(1(3(2(1(z0))))))))))))), 1'(2(0(1(1(4(0(0(1(3(2(1(z0)))))))))))), 2'(0(1(1(4(0(0(1(3(2(1(z0))))))))))), 0'(1(1(4(0(0(1(3(2(1(z0)))))))))), 1'(1(4(0(0(1(3(2(1(z0))))))))), 1'(4(0(0(1(3(2(1(z0)))))))), 4'(0(0(1(3(2(1(z0))))))), 0'(0(1(3(2(1(z0)))))), 0'(1(3(2(1(z0))))), 1'(3(2(1(z0)))), 3'(2(1(z0))), 2'(1(z0)), 1'(z0))
   4'(c_3(c_1(c_1(c_2(c_2(c_1(c_3(c_1(c_0(c_0(c_1(c_1(c_0(c_4(c_2(c_3(c_3(c_0(c_2(z0)))))))))))))))))))) -> c113(0'(3(3(1(4(1(1(2(1(2(1(3(1(3(1(4(2(2(4(2(z0)))))))))))))))))))), 3'(3(1(4(1(1(2(1(2(1(3(1(3(1(4(2(2(4(2(z0))))))))))))))))))), 3'(1(4(1(1(2(1(2(1(3(1(3(1(4(2(2(4(2(z0)))))))))))))))))), 1'(4(1(1(2(1(2(1(3(1(3(1(4(2(2(4(2(z0))))))))))))))))), 4'(1(1(2(1(2(1(3(1(3(1(4(2(2(4(2(z0)))))))))))))))), 1'(1(2(1(2(1(3(1(3(1(4(2(2(4(2(z0))))))))))))))), 1'(2(1(2(1(3(1(3(1(4(2(2(4(2(z0)))))))))))))), 2'(1(2(1(3(1(3(1(4(2(2(4(2(z0))))))))))))), 1'(2(1(3(1(3(1(4(2(2(4(2(z0)))))))))))), 2'(1(3(1(3(1(4(2(2(4(2(z0))))))))))), 1'(3(1(3(1(4(2(2(4(2(z0)))))))))), 3'(1(3(1(4(2(2(4(2(z0))))))))), 1'(3(1(4(2(2(4(2(z0)))))))), 3'(1(4(2(2(4(2(z0))))))), 1'(4(2(2(4(2(z0)))))), 4'(2(2(4(2(z0))))), 2'(2(4(2(z0)))), 2'(4(2(z0))), 4'(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, c28_20, c29_20, c30_20, c31_20, c33_20, c34_20, c35_20, c36_20, c37_20, c38_20, c39_20, c40_20, c41_20, c42_20, c43_20, c44_20, c45_20, c46_20, c47_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_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_20, c94_20, c95_20, c96_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_1(c_1(c_1(c_2(c_4(c_4(c_0(c_3(c_4(c_4(c_0(c_2(c_0(c_4(c_1(c_1(c_2(c_1(z0)))))))))))))))))))) -> 3(1(4(3(2(4(3(3(4(0(0(2(0(3(1(0(1(0(1(2(z0))))))))))))))))))))
   0(c_4(c_0(c_2(c_0(c_1(c_2(c_1(c_4(c_3(c_1(c_4(c_3(c_3(c_1(c_0(c_3(c_3(c_1(c_2(z0)))))))))))))))))))) -> 2(1(0(2(2(4(0(1(4(2(3(4(0(1(2(0(2(4(4(2(z0))))))))))))))))))))
   0(c_1(c_3(c_3(c_3(c_3(c_0(c_1(c_1(c_2(c_0(c_0(c_4(c_4(c_4(c_3(c_1(c_0(c_0(c_2(z0)))))))))))))))))))) -> 2(0(2(4(0(2(3(4(2(0(1(0(0(3(4(3(4(0(3(2(z0))))))))))))))))))))
   0(c_1(c_3(c_1(c_1(c_2(c_3(c_2(c_4(c_3(c_4(c_1(c_1(c_2(c_3(c_1(c_0(c_4(c_2(c_2(z0)))))))))))))))))))) -> 2(2(0(1(1(3(2(0(1(0(2(2(0(4(1(4(2(2(4(2(z0))))))))))))))))))))
   0(c_3(c_4(c_0(c_2(c_0(c_1(c_2(c_3(c_1(c_0(c_4(c_4(c_3(c_1(c_4(c_1(c_3(c_0(c_2(z0)))))))))))))))))))) -> 4(0(4(4(3(3(0(0(3(4(3(4(0(1(4(1(1(4(3(2(z0))))))))))))))))))))
   0(c_4(c_3(c_2(c_4(c_4(c_3(c_4(c_1(c_3(c_3(c_2(c_3(c_1(c_0(c_1(c_2(c_1(c_2(c_2(z0)))))))))))))))))))) -> 1(1(4(0(4(1(1(0(0(1(2(4(0(3(2(4(2(0(3(2(z0))))))))))))))))))))
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   1(z0) -> c_1(z0)
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   1(c_0(c_3(c_4(c_4(c_4(c_4(c_4(c_1(c_3(c_0(c_1(c_2(c_0(c_2(c_0(c_1(c_1(c_3(c_2(z0)))))))))))))))))))) -> 0(1(3(2(1(3(4(1(4(2(4(0(2(4(2(3(0(0(2(1(z0))))))))))))))))))))
   1(c_2(c_3(c_4(c_2(c_4(c_2(c_3(c_2(c_0(c_2(c_1(c_0(c_2(c_2(c_0(c_4(c_2(c_0(c_2(z0)))))))))))))))))))) -> 1(1(1(4(0(4(4(0(0(0(2(1(3(4(0(2(4(0(0(2(z0))))))))))))))))))))
   1(c_3(c_3(c_1(c_0(c_0(c_1(c_1(c_3(c_2(c_3(c_0(c_0(c_0(c_1(c_1(c_1(c_1(c_0(c_2(z0)))))))))))))))))))) -> 1(3(0(4(1(1(4(3(4(2(4(4(3(3(3(2(0(2(2(1(z0))))))))))))))))))))
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   1(c_4(c_1(c_3(c_1(c_1(c_0(c_0(c_0(c_0(c_4(c_3(c_0(c_0(c_2(c_0(c_2(c_1(c_1(c_1(z0)))))))))))))))))))) -> 2(1(4(2(0(0(3(3(4(3(0(2(4(1(0(2(4(4(2(1(z0))))))))))))))))))))
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   2(z0) -> c_2(z0)
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   2(c_1(c_0(c_1(c_0(c_4(c_2(c_1(c_1(c_1(c_3(c_0(c_4(c_2(c_2(c_0(c_2(c_3(c_2(c_2(z0)))))))))))))))))))) -> 3(2(0(3(1(3(1(2(1(2(1(1(1(3(1(1(4(1(3(2(z0))))))))))))))))))))
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   2(c_4(c_2(c_0(c_3(c_2(c_2(c_4(c_4(c_3(c_0(c_1(c_0(c_3(c_2(c_3(c_2(c_2(c_4(c_2(z0)))))))))))))))))))) -> 3(0(4(0(2(4(1(0(3(2(3(0(0(2(4(2(4(1(0(2(z0))))))))))))))))))))
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   2(c_4(c_0(c_4(c_3(c_1(c_2(c_1(c_2(c_2(c_3(c_0(c_1(c_0(c_1(c_3(c_1(c_3(c_3(c_2(z0)))))))))))))))))))) -> 0(2(4(4(1(4(1(4(2(2(2(4(3(3(3(1(1(0(1(2(z0))))))))))))))))))))
   2(c_0(c_1(c_1(c_0(c_0(c_4(c_2(c_3(c_1(c_0(c_2(c_3(c_0(c_3(c_4(c_0(c_3(c_3(c_2(z0)))))))))))))))))))) -> 3(4(1(3(2(0(3(0(4(1(2(4(0(4(4(1(3(2(0(2(z0))))))))))))))))))))
   2(c_2(c_1(c_0(c_1(c_1(c_2(c_0(c_2(c_2(c_0(c_2(c_2(c_1(c_3(c_0(c_4(c_4(c_1(c_2(z0)))))))))))))))))))) -> 1(2(1(2(4(0(2(1(2(0(3(1(1(2(2(4(4(3(1(2(z0))))))))))))))))))))
   2(c_1(c_2(c_3(c_4(c_4(c_0(c_2(c_3(c_2(c_0(c_3(c_2(c_4(c_4(c_4(c_2(c_4(c_2(c_2(z0)))))))))))))))))))) -> 1(1(3(3(1(3(3(2(2(1(4(1(2(2(4(1(2(2(3(2(z0))))))))))))))))))))
   2(c_0(c_4(c_3(c_4(c_0(c_2(c_1(c_3(c_2(c_0(c_3(c_2(c_0(c_1(c_0(c_4(c_4(c_2(c_2(z0)))))))))))))))))))) -> 4(0(3(2(4(0(1(1(2(4(0(4(4(0(4(2(3(2(2(2(z0))))))))))))))))))))
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   2(c_4(c_0(c_3(c_4(c_1(c_1(c_4(c_0(c_2(c_2(c_2(c_3(c_4(c_4(c_3(c_3(c_3(c_0(c_2(z0)))))))))))))))))))) -> 0(1(0(0(1(1(4(3(3(0(4(2(4(1(1(3(2(2(2(2(z0))))))))))))))))))))
   2(c_0(c_0(c_1(c_2(c_3(c_2(c_3(c_0(c_1(c_2(c_4(c_2(c_2(c_1(c_0(c_0(c_3(c_2(c_1(z0)))))))))))))))))))) -> 2(4(0(1(1(2(3(0(0(4(3(0(1(0(4(2(4(3(4(2(z0))))))))))))))))))))
   2(c_0(c_2(c_1(c_3(c_3(c_4(c_0(c_1(c_1(c_2(c_0(c_3(c_1(c_3(c_0(c_1(c_2(c_1(c_2(z0)))))))))))))))))))) -> 2(2(2(0(1(1(4(3(2(0(2(3(3(3(1(1(2(2(4(2(z0))))))))))))))))))))
   2(c_2(c_1(c_2(c_3(c_3(c_2(c_0(c_3(c_0(c_2(c_0(c_4(c_2(c_4(c_1(c_2(c_3(c_0(c_2(z0)))))))))))))))))))) -> 0(4(1(0(2(2(1(0(3(3(4(2(1(4(1(2(1(4(1(2(z0))))))))))))))))))))
   2(c_1(c_2(c_0(c_3(c_1(c_4(c_2(c_3(c_0(c_1(c_1(c_4(c_4(c_2(c_0(c_4(c_3(c_2(c_1(z0)))))))))))))))))))) -> 1(2(3(4(0(1(4(3(1(1(1(4(1(4(0(0(2(1(4(2(z0))))))))))))))))))))
   3(z0) -> c_3(z0)
   3(c_0(c_2(c_3(c_3(c_2(c_0(c_2(c_0(c_1(c_2(c_4(c_3(c_3(c_1(c_4(c_4(c_0(c_2(c_1(z0)))))))))))))))))))) -> 2(0(2(1(1(1(3(3(0(4(2(4(3(0(1(1(1(4(1(2(z0))))))))))))))))))))
   3(c_2(c_1(c_1(c_1(c_4(c_2(c_4(c_0(c_3(c_1(c_3(c_0(c_2(c_3(c_0(c_4(c_0(c_3(c_2(z0)))))))))))))))))))) -> 3(0(3(0(4(3(2(2(1(1(4(4(4(3(0(2(4(2(2(2(z0))))))))))))))))))))
   3(c_3(c_0(c_2(c_0(c_0(c_1(c_3(c_0(c_2(c_2(c_2(c_4(c_0(c_3(c_1(c_1(c_0(c_0(c_2(z0)))))))))))))))))))) -> 4(0(2(1(3(2(4(0(1(4(1(1(0(2(0(0(2(2(4(2(z0))))))))))))))))))))
   3(c_1(c_0(c_2(c_3(c_2(c_2(c_4(c_3(c_0(c_2(c_0(c_4(c_2(c_1(c_0(c_2(c_1(c_1(c_1(z0)))))))))))))))))))) -> 1(4(0(1(0(4(1(1(3(4(3(2(4(4(3(2(1(1(2(2(z0))))))))))))))))))))
   3(c_3(c_0(c_4(c_4(c_2(c_4(c_0(c_4(c_0(c_4(c_2(c_0(c_2(c_2(c_2(c_4(c_0(c_3(c_2(z0)))))))))))))))))))) -> 0(1(0(1(1(1(4(4(0(1(3(2(2(4(1(4(3(4(2(2(z0))))))))))))))))))))
   3(c_2(c_3(c_3(c_3(c_4(c_1(c_2(c_1(c_2(c_1(c_2(c_1(c_3(c_1(c_1(c_0(c_1(c_4(c_2(z0)))))))))))))))))))) -> 3(0(1(0(0(4(4(4(4(2(4(4(4(3(0(0(2(1(4(2(z0))))))))))))))))))))
   3(c_2(c_1(c_0(c_4(c_1(c_2(c_2(c_0(c_3(c_4(c_3(c_2(c_3(c_4(c_1(c_4(c_0(c_1(c_2(z0)))))))))))))))))))) -> 0(2(4(3(3(2(4(3(3(3(1(2(2(3(4(3(4(3(4(2(z0))))))))))))))))))))
   3(c_2(c_4(c_3(c_2(c_2(c_0(c_2(c_3(c_4(c_0(c_1(c_0(c_4(c_3(c_0(c_3(c_0(c_4(c_2(z0)))))))))))))))))))) -> 0(1(2(0(4(2(3(1(4(0(1(1(0(0(1(1(0(1(1(2(z0))))))))))))))))))))
   3(c_1(c_1(c_2(c_4(c_3(c_1(c_2(c_3(c_0(c_1(c_1(c_1(c_2(c_2(c_3(c_1(c_1(c_3(c_2(z0)))))))))))))))))))) -> 4(0(0(1(3(0(1(1(2(4(2(4(3(4(1(4(0(0(0(2(z0))))))))))))))))))))
   3(c_1(c_1(c_1(c_3(c_3(c_0(c_1(c_3(c_4(c_4(c_2(c_2(c_3(c_1(c_3(c_3(c_4(c_1(c_2(z0)))))))))))))))))))) -> 1(4(1(1(2(1(1(3(4(1(4(2(0(0(2(2(3(2(2(2(z0))))))))))))))))))))
   3(c_0(c_4(c_3(c_2(c_3(c_3(c_2(c_3(c_0(c_1(c_0(c_1(c_0(c_1(c_3(c_1(c_4(c_2(c_1(z0)))))))))))))))))))) -> 4(1(3(2(1(4(1(0(1(3(3(1(4(4(0(4(2(1(1(2(z0))))))))))))))))))))
   3(c_4(c_2(c_2(c_4(c_4(c_0(c_3(c_1(c_4(c_1(c_0(c_4(c_0(c_1(c_0(c_2(c_1(c_0(c_2(z0)))))))))))))))))))) -> 0(2(4(1(2(0(3(0(2(3(4(1(1(4(0(3(3(2(4(2(z0))))))))))))))))))))
   3(c_3(c_3(c_4(c_1(c_1(c_4(c_2(c_3(c_0(c_3(c_4(c_4(c_1(c_2(c_3(c_4(c_1(c_4(c_2(z0)))))))))))))))))))) -> 0(2(4(3(1(2(3(4(1(2(0(1(1(3(3(4(1(0(1(2(z0))))))))))))))))))))
   3(c_4(c_0(c_2(c_2(c_1(c_1(c_0(c_3(c_3(c_1(c_3(c_2(c_2(c_2(c_1(c_1(c_2(c_0(c_2(z0)))))))))))))))))))) -> 3(0(2(3(4(2(0(2(1(4(0(3(3(2(4(1(2(4(1(2(z0))))))))))))))))))))
   3(c_4(c_4(c_2(c_1(c_1(c_4(c_3(c_4(c_3(c_0(c_3(c_3(c_3(c_2(c_2(c_0(c_3(c_1(c_2(z0)))))))))))))))))))) -> 2(4(0(3(2(3(1(4(3(2(2(2(0(1(0(2(3(2(3(2(z0))))))))))))))))))))
   3(c_2(c_0(c_3(c_4(c_3(c_1(c_1(c_3(c_2(c_0(c_3(c_0(c_0(c_0(c_1(c_4(c_2(c_4(c_1(z0)))))))))))))))))))) -> 3(3(2(0(2(4(3(0(0(3(3(0(1(2(4(1(0(0(2(1(z0))))))))))))))))))))
   3(c_3(c_3(c_1(c_3(c_4(c_3(c_0(c_3(c_1(c_3(c_2(c_2(c_4(c_0(c_3(c_4(c_2(c_0(c_2(z0)))))))))))))))))))) -> 4(0(4(1(0(2(4(3(4(2(3(2(3(3(3(0(1(0(4(2(z0))))))))))))))))))))
   3(c_0(c_3(c_0(c_0(c_0(c_2(c_0(c_1(c_2(c_2(c_4(c_0(c_1(c_2(c_0(c_3(c_2(c_2(c_2(z0)))))))))))))))))))) -> 4(4(2(4(4(2(4(1(4(4(2(0(3(2(1(4(4(2(4(2(z0))))))))))))))))))))
   3(c_2(c_0(c_1(c_4(c_3(c_0(c_2(c_0(c_2(c_2(c_3(c_0(c_1(c_4(c_2(c_1(c_1(c_1(c_2(z0)))))))))))))))))))) -> 0(3(1(2(2(2(4(0(3(0(0(3(2(4(4(2(4(3(2(1(z0))))))))))))))))))))
   3(c_1(c_1(c_2(c_0(c_3(c_2(c_0(c_4(c_0(c_0(c_4(c_3(c_4(c_3(c_1(c_1(c_2(c_1(c_1(z0)))))))))))))))))))) -> 4(2(0(1(2(4(3(4(4(3(3(3(1(1(3(0(4(3(4(2(z0))))))))))))))))))))
   3(c_3(c_3(c_2(c_1(c_1(c_3(c_3(c_4(c_2(c_4(c_3(c_2(c_2(c_0(c_3(c_0(c_4(c_2(c_2(z0)))))))))))))))))))) -> 1(3(4(2(4(4(4(3(2(4(4(0(3(3(4(0(4(2(2(1(z0))))))))))))))))))))
   3(c_0(c_1(c_2(c_3(c_0(c_1(c_2(c_2(c_2(c_0(c_2(c_3(c_3(c_3(c_4(c_3(c_3(c_2(c_1(z0)))))))))))))))))))) -> 0(2(3(1(3(1(0(1(2(1(1(1(1(3(3(4(4(0(3(2(z0))))))))))))))))))))
   3(c_2(c_3(c_1(c_0(c_1(c_4(c_2(c_4(c_3(c_1(c_0(c_4(c_1(c_4(c_3(c_3(c_1(c_0(c_2(z0)))))))))))))))))))) -> 0(0(1(2(2(0(4(4(4(1(0(2(4(1(4(4(0(1(1(2(z0))))))))))))))))))))
   3(c_1(c_3(c_2(c_2(c_4(c_1(c_0(c_3(c_1(c_3(c_0(c_2(c_0(c_0(c_0(c_3(c_3(c_2(c_1(z0)))))))))))))))))))) -> 1(3(0(2(1(3(2(1(4(2(2(2(3(4(4(0(2(4(3(2(z0))))))))))))))))))))
   4(z0) -> c_4(z0)
   4(c_2(c_3(c_0(c_3(c_4(c_1(c_1(c_1(c_1(c_0(c_4(c_1(c_1(c_1(c_3(c_4(c_4(c_2(c_2(z0)))))))))))))))))))) -> 2(0(3(3(2(4(4(2(1(1(4(1(1(0(0(2(4(0(0(2(z0))))))))))))))))))))
   4(c_1(c_1(c_3(c_2(c_3(c_0(c_3(c_3(c_3(c_4(c_2(c_4(c_4(c_4(c_1(c_0(c_2(c_0(c_2(z0)))))))))))))))))))) -> 4(4(4(4(1(0(0(3(1(4(0(4(4(0(3(0(1(3(2(2(z0))))))))))))))))))))
   4(c_2(c_1(c_1(c_0(c_1(c_0(c_0(c_2(c_0(c_3(c_2(c_1(c_0(c_0(c_3(c_0(c_1(c_2(c_2(z0)))))))))))))))))))) -> 0(0(4(1(0(1(4(2(4(1(0(0(0(1(4(1(3(3(2(1(z0))))))))))))))))))))
   4(c_3(c_0(c_3(c_2(c_3(c_0(c_4(c_3(c_1(c_3(c_4(c_2(c_0(c_3(c_4(c_3(c_2(c_2(c_1(z0)))))))))))))))))))) -> 0(3(4(3(3(2(4(1(0(0(1(0(0(2(0(3(2(0(2(2(z0))))))))))))))))))))
   4(c_0(c_1(c_3(c_3(c_2(c_4(c_3(c_3(c_2(c_0(c_0(c_1(c_2(c_3(c_4(c_2(c_3(c_3(c_2(z0)))))))))))))))))))) -> 2(4(3(0(3(0(1(4(2(1(4(3(2(1(3(2(3(1(2(2(z0))))))))))))))))))))
   4(c_4(c_3(c_1(c_1(c_3(c_4(c_3(c_2(c_3(c_1(c_1(c_0(c_0(c_0(c_0(c_0(c_0(c_2(c_1(z0)))))))))))))))))))) -> 0(4(0(1(3(0(2(4(3(1(2(2(3(2(0(0(4(4(1(2(z0))))))))))))))))))))
   4(c_4(c_3(c_3(c_4(c_0(c_1(c_0(c_1(c_4(c_0(c_0(c_2(c_3(c_3(c_4(c_0(c_0(c_2(c_1(z0)))))))))))))))))))) -> 1(0(1(2(0(1(1(1(1(2(0(0(1(4(3(2(2(4(3(2(z0))))))))))))))))))))
   4(c_3(c_3(c_0(c_2(c_4(c_1(c_2(c_2(c_3(c_0(c_0(c_2(c_0(c_0(c_1(c_0(c_3(c_1(c_2(z0)))))))))))))))))))) -> 4(0(2(3(1(1(4(3(3(1(1(4(0(2(3(2(2(0(1(2(z0))))))))))))))))))))
   4(c_3(c_4(c_0(c_2(c_4(c_3(c_2(c_3(c_3(c_1(c_3(c_3(c_4(c_2(c_4(c_0(c_4(c_1(c_2(z0)))))))))))))))))))) -> 4(4(3(4(1(0(4(4(3(0(2(1(4(2(1(1(4(4(1(2(z0))))))))))))))))))))
   4(c_4(c_2(c_4(c_0(c_0(c_2(c_3(c_4(c_3(c_3(c_1(c_4(c_2(c_2(c_3(c_1(c_0(c_2(c_1(z0)))))))))))))))))))) -> 4(4(1(4(4(4(1(1(4(0(2(3(2(3(1(2(2(1(2(1(z0))))))))))))))))))))
   4(c_1(c_3(c_4(c_3(c_2(c_2(c_1(c_1(c_2(c_3(c_0(c_4(c_1(c_1(c_3(c_4(c_3(c_4(c_2(z0)))))))))))))))))))) -> 2(4(2(1(1(4(0(2(3(0(0(4(2(4(4(0(3(3(1(2(z0))))))))))))))))))))
   4(c_1(c_0(c_2(c_0(c_0(c_0(c_2(c_3(c_4(c_0(c_4(c_2(c_0(c_2(c_0(c_3(c_4(c_3(c_2(z0)))))))))))))))))))) -> 2(1(1(1(4(2(2(0(0(4(1(2(2(2(0(0(2(4(0(2(z0))))))))))))))))))))
   4(c_1(c_1(c_4(c_4(c_0(c_1(c_2(c_1(c_0(c_0(c_4(c_4(c_2(c_3(c_3(c_3(c_1(c_3(c_2(z0)))))))))))))))))))) -> 3(1(0(4(2(4(4(1(2(4(3(3(2(2(1(4(3(3(4(2(z0))))))))))))))))))))
   4(c_3(c_1(c_0(c_2(c_1(c_0(c_4(c_4(c_0(c_3(c_1(c_0(c_0(c_3(c_0(c_4(c_3(c_1(c_2(z0)))))))))))))))))))) -> 0(1(3(4(0(2(0(0(3(0(0(3(1(2(4(3(1(1(3(2(z0))))))))))))))))))))
   4(c_0(c_1(c_4(c_1(c_2(c_1(c_3(c_4(c_2(c_4(c_3(c_3(c_2(c_1(c_1(c_4(c_4(c_2(c_2(z0)))))))))))))))))))) -> 4(2(3(4(2(4(1(1(1(2(0(1(1(4(0(0(1(3(2(1(z0))))))))))))))))))))
   4(c_3(c_1(c_1(c_2(c_2(c_1(c_3(c_1(c_0(c_0(c_1(c_1(c_0(c_4(c_2(c_3(c_3(c_0(c_2(z0)))))))))))))))))))) -> 0(3(3(1(4(1(1(2(1(2(1(3(1(3(1(4(2(2(4(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_1(c_1(c_1(c_2(c_4(c_4(c_0(c_3(c_4(c_4(c_0(c_2(c_0(c_4(c_1(c_1(c_2(c_1(z0)))))))))))))))))))) -> c11(3'(1(4(3(2(4(3(3(4(0(0(2(0(3(1(0(1(0(1(2(z0)))))))))))))))))))), 1'(4(3(2(4(3(3(4(0(0(2(0(3(1(0(1(0(1(2(z0))))))))))))))))))), 4'(3(2(4(3(3(4(0(0(2(0(3(1(0(1(0(1(2(z0)))))))))))))))))), 3'(2(4(3(3(4(0(0(2(0(3(1(0(1(0(1(2(z0))))))))))))))))), 2'(4(3(3(4(0(0(2(0(3(1(0(1(0(1(2(z0)))))))))))))))), 4'(3(3(4(0(0(2(0(3(1(0(1(0(1(2(z0))))))))))))))), 3'(3(4(0(0(2(0(3(1(0(1(0(1(2(z0)))))))))))))), 3'(4(0(0(2(0(3(1(0(1(0(1(2(z0))))))))))))), 4'(0(0(2(0(3(1(0(1(0(1(2(z0)))))))))))), 0'(0(2(0(3(1(0(1(0(1(2(z0))))))))))), 0'(2(0(3(1(0(1(0(1(2(z0)))))))))), 2'(0(3(1(0(1(0(1(2(z0))))))))), 0'(3(1(0(1(0(1(2(z0)))))))), 3'(1(0(1(0(1(2(z0))))))), 1'(0(1(0(1(2(z0)))))), 0'(1(0(1(2(z0))))), 1'(0(1(2(z0)))), 0'(1(2(z0))), 1'(2(z0)), 2'(z0))
   0'(c_4(c_0(c_2(c_0(c_1(c_2(c_1(c_4(c_3(c_1(c_4(c_3(c_3(c_1(c_0(c_3(c_3(c_1(c_2(z0)))))))))))))))))))) -> c12(2'(1(0(2(2(4(0(1(4(2(3(4(0(1(2(0(2(4(4(2(z0)))))))))))))))))))), 1'(0(2(2(4(0(1(4(2(3(4(0(1(2(0(2(4(4(2(z0))))))))))))))))))), 0'(2(2(4(0(1(4(2(3(4(0(1(2(0(2(4(4(2(z0)))))))))))))))))), 2'(2(4(0(1(4(2(3(4(0(1(2(0(2(4(4(2(z0))))))))))))))))), 2'(4(0(1(4(2(3(4(0(1(2(0(2(4(4(2(z0)))))))))))))))), 4'(0(1(4(2(3(4(0(1(2(0(2(4(4(2(z0))))))))))))))), 0'(1(4(2(3(4(0(1(2(0(2(4(4(2(z0)))))))))))))), 1'(4(2(3(4(0(1(2(0(2(4(4(2(z0))))))))))))), 4'(2(3(4(0(1(2(0(2(4(4(2(z0)))))))))))), 2'(3(4(0(1(2(0(2(4(4(2(z0))))))))))), 3'(4(0(1(2(0(2(4(4(2(z0)))))))))), 4'(0(1(2(0(2(4(4(2(z0))))))))), 0'(1(2(0(2(4(4(2(z0)))))))), 1'(2(0(2(4(4(2(z0))))))), 2'(0(2(4(4(2(z0)))))), 0'(2(4(4(2(z0))))), 2'(4(4(2(z0)))), 4'(4(2(z0))), 4'(2(z0)), 2'(z0))
   0'(c_1(c_3(c_3(c_3(c_3(c_0(c_1(c_1(c_2(c_0(c_0(c_4(c_4(c_4(c_3(c_1(c_0(c_0(c_2(z0)))))))))))))))))))) -> c13(2'(0(2(4(0(2(3(4(2(0(1(0(0(3(4(3(4(0(3(2(z0)))))))))))))))))))), 0'(2(4(0(2(3(4(2(0(1(0(0(3(4(3(4(0(3(2(z0))))))))))))))))))), 2'(4(0(2(3(4(2(0(1(0(0(3(4(3(4(0(3(2(z0)))))))))))))))))), 4'(0(2(3(4(2(0(1(0(0(3(4(3(4(0(3(2(z0))))))))))))))))), 0'(2(3(4(2(0(1(0(0(3(4(3(4(0(3(2(z0)))))))))))))))), 2'(3(4(2(0(1(0(0(3(4(3(4(0(3(2(z0))))))))))))))), 3'(4(2(0(1(0(0(3(4(3(4(0(3(2(z0)))))))))))))), 4'(2(0(1(0(0(3(4(3(4(0(3(2(z0))))))))))))), 2'(0(1(0(0(3(4(3(4(0(3(2(z0)))))))))))), 0'(1(0(0(3(4(3(4(0(3(2(z0))))))))))), 1'(0(0(3(4(3(4(0(3(2(z0)))))))))), 0'(0(3(4(3(4(0(3(2(z0))))))))), 0'(3(4(3(4(0(3(2(z0)))))))), 3'(4(3(4(0(3(2(z0))))))), 4'(3(4(0(3(2(z0)))))), 3'(4(0(3(2(z0))))), 4'(0(3(2(z0)))), 0'(3(2(z0))), 3'(2(z0)), 2'(z0))
   0'(c_1(c_3(c_1(c_1(c_2(c_3(c_2(c_4(c_3(c_4(c_1(c_1(c_2(c_3(c_1(c_0(c_4(c_2(c_2(z0)))))))))))))))))))) -> c14(2'(2(0(1(1(3(2(0(1(0(2(2(0(4(1(4(2(2(4(2(z0)))))))))))))))))))), 2'(0(1(1(3(2(0(1(0(2(2(0(4(1(4(2(2(4(2(z0))))))))))))))))))), 0'(1(1(3(2(0(1(0(2(2(0(4(1(4(2(2(4(2(z0)))))))))))))))))), 1'(1(3(2(0(1(0(2(2(0(4(1(4(2(2(4(2(z0))))))))))))))))), 1'(3(2(0(1(0(2(2(0(4(1(4(2(2(4(2(z0)))))))))))))))), 3'(2(0(1(0(2(2(0(4(1(4(2(2(4(2(z0))))))))))))))), 2'(0(1(0(2(2(0(4(1(4(2(2(4(2(z0)))))))))))))), 0'(1(0(2(2(0(4(1(4(2(2(4(2(z0))))))))))))), 1'(0(2(2(0(4(1(4(2(2(4(2(z0)))))))))))), 0'(2(2(0(4(1(4(2(2(4(2(z0))))))))))), 2'(2(0(4(1(4(2(2(4(2(z0)))))))))), 2'(0(4(1(4(2(2(4(2(z0))))))))), 0'(4(1(4(2(2(4(2(z0)))))))), 4'(1(4(2(2(4(2(z0))))))), 1'(4(2(2(4(2(z0)))))), 4'(2(2(4(2(z0))))), 2'(2(4(2(z0)))), 2'(4(2(z0))), 4'(2(z0)), 2'(z0))
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   4'(c_3(c_3(c_0(c_2(c_4(c_1(c_2(c_2(c_3(c_0(c_0(c_2(c_0(c_0(c_1(c_0(c_3(c_1(c_2(z0)))))))))))))))))))) -> c105(4'(0(2(3(1(1(4(3(3(1(1(4(0(2(3(2(2(0(1(2(z0)))))))))))))))))))), 0'(2(3(1(1(4(3(3(1(1(4(0(2(3(2(2(0(1(2(z0))))))))))))))))))), 2'(3(1(1(4(3(3(1(1(4(0(2(3(2(2(0(1(2(z0)))))))))))))))))), 3'(1(1(4(3(3(1(1(4(0(2(3(2(2(0(1(2(z0))))))))))))))))), 1'(1(4(3(3(1(1(4(0(2(3(2(2(0(1(2(z0)))))))))))))))), 1'(4(3(3(1(1(4(0(2(3(2(2(0(1(2(z0))))))))))))))), 4'(3(3(1(1(4(0(2(3(2(2(0(1(2(z0)))))))))))))), 3'(3(1(1(4(0(2(3(2(2(0(1(2(z0))))))))))))), 3'(1(1(4(0(2(3(2(2(0(1(2(z0)))))))))))), 1'(1(4(0(2(3(2(2(0(1(2(z0))))))))))), 1'(4(0(2(3(2(2(0(1(2(z0)))))))))), 4'(0(2(3(2(2(0(1(2(z0))))))))), 0'(2(3(2(2(0(1(2(z0)))))))), 2'(3(2(2(0(1(2(z0))))))), 3'(2(2(0(1(2(z0)))))), 2'(2(0(1(2(z0))))), 2'(0(1(2(z0)))), 0'(1(2(z0))), 1'(2(z0)), 2'(z0))
   4'(c_3(c_4(c_0(c_2(c_4(c_3(c_2(c_3(c_3(c_1(c_3(c_3(c_4(c_2(c_4(c_0(c_4(c_1(c_2(z0)))))))))))))))))))) -> c106(4'(4(3(4(1(0(4(4(3(0(2(1(4(2(1(1(4(4(1(2(z0)))))))))))))))))))), 4'(3(4(1(0(4(4(3(0(2(1(4(2(1(1(4(4(1(2(z0))))))))))))))))))), 3'(4(1(0(4(4(3(0(2(1(4(2(1(1(4(4(1(2(z0)))))))))))))))))), 4'(1(0(4(4(3(0(2(1(4(2(1(1(4(4(1(2(z0))))))))))))))))), 1'(0(4(4(3(0(2(1(4(2(1(1(4(4(1(2(z0)))))))))))))))), 0'(4(4(3(0(2(1(4(2(1(1(4(4(1(2(z0))))))))))))))), 4'(4(3(0(2(1(4(2(1(1(4(4(1(2(z0)))))))))))))), 4'(3(0(2(1(4(2(1(1(4(4(1(2(z0))))))))))))), 3'(0(2(1(4(2(1(1(4(4(1(2(z0)))))))))))), 0'(2(1(4(2(1(1(4(4(1(2(z0))))))))))), 2'(1(4(2(1(1(4(4(1(2(z0)))))))))), 1'(4(2(1(1(4(4(1(2(z0))))))))), 4'(2(1(1(4(4(1(2(z0)))))))), 2'(1(1(4(4(1(2(z0))))))), 1'(1(4(4(1(2(z0)))))), 1'(4(4(1(2(z0))))), 4'(4(1(2(z0)))), 4'(1(2(z0))), 1'(2(z0)), 2'(z0))
   4'(c_4(c_2(c_4(c_0(c_0(c_2(c_3(c_4(c_3(c_3(c_1(c_4(c_2(c_2(c_3(c_1(c_0(c_2(c_1(z0)))))))))))))))))))) -> c107(4'(4(1(4(4(4(1(1(4(0(2(3(2(3(1(2(2(1(2(1(z0)))))))))))))))))))), 4'(1(4(4(4(1(1(4(0(2(3(2(3(1(2(2(1(2(1(z0))))))))))))))))))), 1'(4(4(4(1(1(4(0(2(3(2(3(1(2(2(1(2(1(z0)))))))))))))))))), 4'(4(4(1(1(4(0(2(3(2(3(1(2(2(1(2(1(z0))))))))))))))))), 4'(4(1(1(4(0(2(3(2(3(1(2(2(1(2(1(z0)))))))))))))))), 4'(1(1(4(0(2(3(2(3(1(2(2(1(2(1(z0))))))))))))))), 1'(1(4(0(2(3(2(3(1(2(2(1(2(1(z0)))))))))))))), 1'(4(0(2(3(2(3(1(2(2(1(2(1(z0))))))))))))), 4'(0(2(3(2(3(1(2(2(1(2(1(z0)))))))))))), 0'(2(3(2(3(1(2(2(1(2(1(z0))))))))))), 2'(3(2(3(1(2(2(1(2(1(z0)))))))))), 3'(2(3(1(2(2(1(2(1(z0))))))))), 2'(3(1(2(2(1(2(1(z0)))))))), 3'(1(2(2(1(2(1(z0))))))), 1'(2(2(1(2(1(z0)))))), 2'(2(1(2(1(z0))))), 2'(1(2(1(z0)))), 1'(2(1(z0))), 2'(1(z0)), 1'(z0))
   4'(c_1(c_3(c_4(c_3(c_2(c_2(c_1(c_1(c_2(c_3(c_0(c_4(c_1(c_1(c_3(c_4(c_3(c_4(c_2(z0)))))))))))))))))))) -> c108(2'(4(2(1(1(4(0(2(3(0(0(4(2(4(4(0(3(3(1(2(z0)))))))))))))))))))), 4'(2(1(1(4(0(2(3(0(0(4(2(4(4(0(3(3(1(2(z0))))))))))))))))))), 2'(1(1(4(0(2(3(0(0(4(2(4(4(0(3(3(1(2(z0)))))))))))))))))), 1'(1(4(0(2(3(0(0(4(2(4(4(0(3(3(1(2(z0))))))))))))))))), 1'(4(0(2(3(0(0(4(2(4(4(0(3(3(1(2(z0)))))))))))))))), 4'(0(2(3(0(0(4(2(4(4(0(3(3(1(2(z0))))))))))))))), 0'(2(3(0(0(4(2(4(4(0(3(3(1(2(z0)))))))))))))), 2'(3(0(0(4(2(4(4(0(3(3(1(2(z0))))))))))))), 3'(0(0(4(2(4(4(0(3(3(1(2(z0)))))))))))), 0'(0(4(2(4(4(0(3(3(1(2(z0))))))))))), 0'(4(2(4(4(0(3(3(1(2(z0)))))))))), 4'(2(4(4(0(3(3(1(2(z0))))))))), 2'(4(4(0(3(3(1(2(z0)))))))), 4'(4(0(3(3(1(2(z0))))))), 4'(0(3(3(1(2(z0)))))), 0'(3(3(1(2(z0))))), 3'(3(1(2(z0)))), 3'(1(2(z0))), 1'(2(z0)), 2'(z0))
   4'(c_1(c_0(c_2(c_0(c_0(c_0(c_2(c_3(c_4(c_0(c_4(c_2(c_0(c_2(c_0(c_3(c_4(c_3(c_2(z0)))))))))))))))))))) -> c109(2'(1(1(1(4(2(2(0(0(4(1(2(2(2(0(0(2(4(0(2(z0)))))))))))))))))))), 1'(1(1(4(2(2(0(0(4(1(2(2(2(0(0(2(4(0(2(z0))))))))))))))))))), 1'(1(4(2(2(0(0(4(1(2(2(2(0(0(2(4(0(2(z0)))))))))))))))))), 1'(4(2(2(0(0(4(1(2(2(2(0(0(2(4(0(2(z0))))))))))))))))), 4'(2(2(0(0(4(1(2(2(2(0(0(2(4(0(2(z0)))))))))))))))), 2'(2(0(0(4(1(2(2(2(0(0(2(4(0(2(z0))))))))))))))), 2'(0(0(4(1(2(2(2(0(0(2(4(0(2(z0)))))))))))))), 0'(0(4(1(2(2(2(0(0(2(4(0(2(z0))))))))))))), 0'(4(1(2(2(2(0(0(2(4(0(2(z0)))))))))))), 4'(1(2(2(2(0(0(2(4(0(2(z0))))))))))), 1'(2(2(2(0(0(2(4(0(2(z0)))))))))), 2'(2(2(0(0(2(4(0(2(z0))))))))), 2'(2(0(0(2(4(0(2(z0)))))))), 2'(0(0(2(4(0(2(z0))))))), 0'(0(2(4(0(2(z0)))))), 0'(2(4(0(2(z0))))), 2'(4(0(2(z0)))), 4'(0(2(z0))), 0'(2(z0)), 2'(z0))
   4'(c_1(c_1(c_4(c_4(c_0(c_1(c_2(c_1(c_0(c_0(c_4(c_4(c_2(c_3(c_3(c_3(c_1(c_3(c_2(z0)))))))))))))))))))) -> c110(3'(1(0(4(2(4(4(1(2(4(3(3(2(2(1(4(3(3(4(2(z0)))))))))))))))))))), 1'(0(4(2(4(4(1(2(4(3(3(2(2(1(4(3(3(4(2(z0))))))))))))))))))), 0'(4(2(4(4(1(2(4(3(3(2(2(1(4(3(3(4(2(z0)))))))))))))))))), 4'(2(4(4(1(2(4(3(3(2(2(1(4(3(3(4(2(z0))))))))))))))))), 2'(4(4(1(2(4(3(3(2(2(1(4(3(3(4(2(z0)))))))))))))))), 4'(4(1(2(4(3(3(2(2(1(4(3(3(4(2(z0))))))))))))))), 4'(1(2(4(3(3(2(2(1(4(3(3(4(2(z0)))))))))))))), 1'(2(4(3(3(2(2(1(4(3(3(4(2(z0))))))))))))), 2'(4(3(3(2(2(1(4(3(3(4(2(z0)))))))))))), 4'(3(3(2(2(1(4(3(3(4(2(z0))))))))))), 3'(3(2(2(1(4(3(3(4(2(z0)))))))))), 3'(2(2(1(4(3(3(4(2(z0))))))))), 2'(2(1(4(3(3(4(2(z0)))))))), 2'(1(4(3(3(4(2(z0))))))), 1'(4(3(3(4(2(z0)))))), 4'(3(3(4(2(z0))))), 3'(3(4(2(z0)))), 3'(4(2(z0))), 4'(2(z0)), 2'(z0))
   4'(c_3(c_1(c_0(c_2(c_1(c_0(c_4(c_4(c_0(c_3(c_1(c_0(c_0(c_3(c_0(c_4(c_3(c_1(c_2(z0)))))))))))))))))))) -> c111(0'(1(3(4(0(2(0(0(3(0(0(3(1(2(4(3(1(1(3(2(z0)))))))))))))))))))), 1'(3(4(0(2(0(0(3(0(0(3(1(2(4(3(1(1(3(2(z0))))))))))))))))))), 3'(4(0(2(0(0(3(0(0(3(1(2(4(3(1(1(3(2(z0)))))))))))))))))), 4'(0(2(0(0(3(0(0(3(1(2(4(3(1(1(3(2(z0))))))))))))))))), 0'(2(0(0(3(0(0(3(1(2(4(3(1(1(3(2(z0)))))))))))))))), 2'(0(0(3(0(0(3(1(2(4(3(1(1(3(2(z0))))))))))))))), 0'(0(3(0(0(3(1(2(4(3(1(1(3(2(z0)))))))))))))), 0'(3(0(0(3(1(2(4(3(1(1(3(2(z0))))))))))))), 3'(0(0(3(1(2(4(3(1(1(3(2(z0)))))))))))), 0'(0(3(1(2(4(3(1(1(3(2(z0))))))))))), 0'(3(1(2(4(3(1(1(3(2(z0)))))))))), 3'(1(2(4(3(1(1(3(2(z0))))))))), 1'(2(4(3(1(1(3(2(z0)))))))), 2'(4(3(1(1(3(2(z0))))))), 4'(3(1(1(3(2(z0)))))), 3'(1(1(3(2(z0))))), 1'(1(3(2(z0)))), 1'(3(2(z0))), 3'(2(z0)), 2'(z0))
   4'(c_0(c_1(c_4(c_1(c_2(c_1(c_3(c_4(c_2(c_4(c_3(c_3(c_2(c_1(c_1(c_4(c_4(c_2(c_2(z0)))))))))))))))))))) -> c112(4'(2(3(4(2(4(1(1(1(2(0(1(1(4(0(0(1(3(2(1(z0)))))))))))))))))))), 2'(3(4(2(4(1(1(1(2(0(1(1(4(0(0(1(3(2(1(z0))))))))))))))))))), 3'(4(2(4(1(1(1(2(0(1(1(4(0(0(1(3(2(1(z0)))))))))))))))))), 4'(2(4(1(1(1(2(0(1(1(4(0(0(1(3(2(1(z0))))))))))))))))), 2'(4(1(1(1(2(0(1(1(4(0(0(1(3(2(1(z0)))))))))))))))), 4'(1(1(1(2(0(1(1(4(0(0(1(3(2(1(z0))))))))))))))), 1'(1(1(2(0(1(1(4(0(0(1(3(2(1(z0)))))))))))))), 1'(1(2(0(1(1(4(0(0(1(3(2(1(z0))))))))))))), 1'(2(0(1(1(4(0(0(1(3(2(1(z0)))))))))))), 2'(0(1(1(4(0(0(1(3(2(1(z0))))))))))), 0'(1(1(4(0(0(1(3(2(1(z0)))))))))), 1'(1(4(0(0(1(3(2(1(z0))))))))), 1'(4(0(0(1(3(2(1(z0)))))))), 4'(0(0(1(3(2(1(z0))))))), 0'(0(1(3(2(1(z0)))))), 0'(1(3(2(1(z0))))), 1'(3(2(1(z0)))), 3'(2(1(z0))), 2'(1(z0)), 1'(z0))
   4'(c_3(c_1(c_1(c_2(c_2(c_1(c_3(c_1(c_0(c_0(c_1(c_1(c_0(c_4(c_2(c_3(c_3(c_0(c_2(z0)))))))))))))))))))) -> c113(0'(3(3(1(4(1(1(2(1(2(1(3(1(3(1(4(2(2(4(2(z0)))))))))))))))))))), 3'(3(1(4(1(1(2(1(2(1(3(1(3(1(4(2(2(4(2(z0))))))))))))))))))), 3'(1(4(1(1(2(1(2(1(3(1(3(1(4(2(2(4(2(z0)))))))))))))))))), 1'(4(1(1(2(1(2(1(3(1(3(1(4(2(2(4(2(z0))))))))))))))))), 4'(1(1(2(1(2(1(3(1(3(1(4(2(2(4(2(z0)))))))))))))))), 1'(1(2(1(2(1(3(1(3(1(4(2(2(4(2(z0))))))))))))))), 1'(2(1(2(1(3(1(3(1(4(2(2(4(2(z0)))))))))))))), 2'(1(2(1(3(1(3(1(4(2(2(4(2(z0))))))))))))), 1'(2(1(3(1(3(1(4(2(2(4(2(z0)))))))))))), 2'(1(3(1(3(1(4(2(2(4(2(z0))))))))))), 1'(3(1(3(1(4(2(2(4(2(z0)))))))))), 3'(1(3(1(4(2(2(4(2(z0))))))))), 1'(3(1(4(2(2(4(2(z0)))))))), 3'(1(4(2(2(4(2(z0))))))), 1'(4(2(2(4(2(z0)))))), 4'(2(2(4(2(z0))))), 2'(2(4(2(z0)))), 2'(4(2(z0))), 4'(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_1(c_1(c_1(c_2(c_4(c_4(c_0(c_3(c_4(c_4(c_0(c_2(c_0(c_4(c_1(c_1(c_2(c_1(z0)))))))))))))))))))) -> c11(3'(1(4(3(2(4(3(3(4(0(0(2(0(3(1(0(1(0(1(2(z0)))))))))))))))))))), 1'(4(3(2(4(3(3(4(0(0(2(0(3(1(0(1(0(1(2(z0))))))))))))))))))), 4'(3(2(4(3(3(4(0(0(2(0(3(1(0(1(0(1(2(z0)))))))))))))))))), 3'(2(4(3(3(4(0(0(2(0(3(1(0(1(0(1(2(z0))))))))))))))))), 2'(4(3(3(4(0(0(2(0(3(1(0(1(0(1(2(z0)))))))))))))))), 4'(3(3(4(0(0(2(0(3(1(0(1(0(1(2(z0))))))))))))))), 3'(3(4(0(0(2(0(3(1(0(1(0(1(2(z0)))))))))))))), 3'(4(0(0(2(0(3(1(0(1(0(1(2(z0))))))))))))), 4'(0(0(2(0(3(1(0(1(0(1(2(z0)))))))))))), 0'(0(2(0(3(1(0(1(0(1(2(z0))))))))))), 0'(2(0(3(1(0(1(0(1(2(z0)))))))))), 2'(0(3(1(0(1(0(1(2(z0))))))))), 0'(3(1(0(1(0(1(2(z0)))))))), 3'(1(0(1(0(1(2(z0))))))), 1'(0(1(0(1(2(z0)))))), 0'(1(0(1(2(z0))))), 1'(0(1(2(z0)))), 0'(1(2(z0))), 1'(2(z0)), 2'(z0))
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   4'(c_4(c_3(c_3(c_4(c_0(c_1(c_0(c_1(c_4(c_0(c_0(c_2(c_3(c_3(c_4(c_0(c_0(c_2(c_1(z0)))))))))))))))))))) -> c104(1'(0(1(2(0(1(1(1(1(2(0(0(1(4(3(2(2(4(3(2(z0)))))))))))))))))))), 0'(1(2(0(1(1(1(1(2(0(0(1(4(3(2(2(4(3(2(z0))))))))))))))))))), 1'(2(0(1(1(1(1(2(0(0(1(4(3(2(2(4(3(2(z0)))))))))))))))))), 2'(0(1(1(1(1(2(0(0(1(4(3(2(2(4(3(2(z0))))))))))))))))), 0'(1(1(1(1(2(0(0(1(4(3(2(2(4(3(2(z0)))))))))))))))), 1'(1(1(1(2(0(0(1(4(3(2(2(4(3(2(z0))))))))))))))), 1'(1(1(2(0(0(1(4(3(2(2(4(3(2(z0)))))))))))))), 1'(1(2(0(0(1(4(3(2(2(4(3(2(z0))))))))))))), 1'(2(0(0(1(4(3(2(2(4(3(2(z0)))))))))))), 2'(0(0(1(4(3(2(2(4(3(2(z0))))))))))), 0'(0(1(4(3(2(2(4(3(2(z0)))))))))), 0'(1(4(3(2(2(4(3(2(z0))))))))), 1'(4(3(2(2(4(3(2(z0)))))))), 4'(3(2(2(4(3(2(z0))))))), 3'(2(2(4(3(2(z0)))))), 2'(2(4(3(2(z0))))), 2'(4(3(2(z0)))), 4'(3(2(z0))), 3'(2(z0)), 2'(z0))
   4'(c_3(c_3(c_0(c_2(c_4(c_1(c_2(c_2(c_3(c_0(c_0(c_2(c_0(c_0(c_1(c_0(c_3(c_1(c_2(z0)))))))))))))))))))) -> c105(4'(0(2(3(1(1(4(3(3(1(1(4(0(2(3(2(2(0(1(2(z0)))))))))))))))))))), 0'(2(3(1(1(4(3(3(1(1(4(0(2(3(2(2(0(1(2(z0))))))))))))))))))), 2'(3(1(1(4(3(3(1(1(4(0(2(3(2(2(0(1(2(z0)))))))))))))))))), 3'(1(1(4(3(3(1(1(4(0(2(3(2(2(0(1(2(z0))))))))))))))))), 1'(1(4(3(3(1(1(4(0(2(3(2(2(0(1(2(z0)))))))))))))))), 1'(4(3(3(1(1(4(0(2(3(2(2(0(1(2(z0))))))))))))))), 4'(3(3(1(1(4(0(2(3(2(2(0(1(2(z0)))))))))))))), 3'(3(1(1(4(0(2(3(2(2(0(1(2(z0))))))))))))), 3'(1(1(4(0(2(3(2(2(0(1(2(z0)))))))))))), 1'(1(4(0(2(3(2(2(0(1(2(z0))))))))))), 1'(4(0(2(3(2(2(0(1(2(z0)))))))))), 4'(0(2(3(2(2(0(1(2(z0))))))))), 0'(2(3(2(2(0(1(2(z0)))))))), 2'(3(2(2(0(1(2(z0))))))), 3'(2(2(0(1(2(z0)))))), 2'(2(0(1(2(z0))))), 2'(0(1(2(z0)))), 0'(1(2(z0))), 1'(2(z0)), 2'(z0))
   4'(c_3(c_4(c_0(c_2(c_4(c_3(c_2(c_3(c_3(c_1(c_3(c_3(c_4(c_2(c_4(c_0(c_4(c_1(c_2(z0)))))))))))))))))))) -> c106(4'(4(3(4(1(0(4(4(3(0(2(1(4(2(1(1(4(4(1(2(z0)))))))))))))))))))), 4'(3(4(1(0(4(4(3(0(2(1(4(2(1(1(4(4(1(2(z0))))))))))))))))))), 3'(4(1(0(4(4(3(0(2(1(4(2(1(1(4(4(1(2(z0)))))))))))))))))), 4'(1(0(4(4(3(0(2(1(4(2(1(1(4(4(1(2(z0))))))))))))))))), 1'(0(4(4(3(0(2(1(4(2(1(1(4(4(1(2(z0)))))))))))))))), 0'(4(4(3(0(2(1(4(2(1(1(4(4(1(2(z0))))))))))))))), 4'(4(3(0(2(1(4(2(1(1(4(4(1(2(z0)))))))))))))), 4'(3(0(2(1(4(2(1(1(4(4(1(2(z0))))))))))))), 3'(0(2(1(4(2(1(1(4(4(1(2(z0)))))))))))), 0'(2(1(4(2(1(1(4(4(1(2(z0))))))))))), 2'(1(4(2(1(1(4(4(1(2(z0)))))))))), 1'(4(2(1(1(4(4(1(2(z0))))))))), 4'(2(1(1(4(4(1(2(z0)))))))), 2'(1(1(4(4(1(2(z0))))))), 1'(1(4(4(1(2(z0)))))), 1'(4(4(1(2(z0))))), 4'(4(1(2(z0)))), 4'(1(2(z0))), 1'(2(z0)), 2'(z0))
   4'(c_4(c_2(c_4(c_0(c_0(c_2(c_3(c_4(c_3(c_3(c_1(c_4(c_2(c_2(c_3(c_1(c_0(c_2(c_1(z0)))))))))))))))))))) -> c107(4'(4(1(4(4(4(1(1(4(0(2(3(2(3(1(2(2(1(2(1(z0)))))))))))))))))))), 4'(1(4(4(4(1(1(4(0(2(3(2(3(1(2(2(1(2(1(z0))))))))))))))))))), 1'(4(4(4(1(1(4(0(2(3(2(3(1(2(2(1(2(1(z0)))))))))))))))))), 4'(4(4(1(1(4(0(2(3(2(3(1(2(2(1(2(1(z0))))))))))))))))), 4'(4(1(1(4(0(2(3(2(3(1(2(2(1(2(1(z0)))))))))))))))), 4'(1(1(4(0(2(3(2(3(1(2(2(1(2(1(z0))))))))))))))), 1'(1(4(0(2(3(2(3(1(2(2(1(2(1(z0)))))))))))))), 1'(4(0(2(3(2(3(1(2(2(1(2(1(z0))))))))))))), 4'(0(2(3(2(3(1(2(2(1(2(1(z0)))))))))))), 0'(2(3(2(3(1(2(2(1(2(1(z0))))))))))), 2'(3(2(3(1(2(2(1(2(1(z0)))))))))), 3'(2(3(1(2(2(1(2(1(z0))))))))), 2'(3(1(2(2(1(2(1(z0)))))))), 3'(1(2(2(1(2(1(z0))))))), 1'(2(2(1(2(1(z0)))))), 2'(2(1(2(1(z0))))), 2'(1(2(1(z0)))), 1'(2(1(z0))), 2'(1(z0)), 1'(z0))
   4'(c_1(c_3(c_4(c_3(c_2(c_2(c_1(c_1(c_2(c_3(c_0(c_4(c_1(c_1(c_3(c_4(c_3(c_4(c_2(z0)))))))))))))))))))) -> c108(2'(4(2(1(1(4(0(2(3(0(0(4(2(4(4(0(3(3(1(2(z0)))))))))))))))))))), 4'(2(1(1(4(0(2(3(0(0(4(2(4(4(0(3(3(1(2(z0))))))))))))))))))), 2'(1(1(4(0(2(3(0(0(4(2(4(4(0(3(3(1(2(z0)))))))))))))))))), 1'(1(4(0(2(3(0(0(4(2(4(4(0(3(3(1(2(z0))))))))))))))))), 1'(4(0(2(3(0(0(4(2(4(4(0(3(3(1(2(z0)))))))))))))))), 4'(0(2(3(0(0(4(2(4(4(0(3(3(1(2(z0))))))))))))))), 0'(2(3(0(0(4(2(4(4(0(3(3(1(2(z0)))))))))))))), 2'(3(0(0(4(2(4(4(0(3(3(1(2(z0))))))))))))), 3'(0(0(4(2(4(4(0(3(3(1(2(z0)))))))))))), 0'(0(4(2(4(4(0(3(3(1(2(z0))))))))))), 0'(4(2(4(4(0(3(3(1(2(z0)))))))))), 4'(2(4(4(0(3(3(1(2(z0))))))))), 2'(4(4(0(3(3(1(2(z0)))))))), 4'(4(0(3(3(1(2(z0))))))), 4'(0(3(3(1(2(z0)))))), 0'(3(3(1(2(z0))))), 3'(3(1(2(z0)))), 3'(1(2(z0))), 1'(2(z0)), 2'(z0))
   4'(c_1(c_0(c_2(c_0(c_0(c_0(c_2(c_3(c_4(c_0(c_4(c_2(c_0(c_2(c_0(c_3(c_4(c_3(c_2(z0)))))))))))))))))))) -> c109(2'(1(1(1(4(2(2(0(0(4(1(2(2(2(0(0(2(4(0(2(z0)))))))))))))))))))), 1'(1(1(4(2(2(0(0(4(1(2(2(2(0(0(2(4(0(2(z0))))))))))))))))))), 1'(1(4(2(2(0(0(4(1(2(2(2(0(0(2(4(0(2(z0)))))))))))))))))), 1'(4(2(2(0(0(4(1(2(2(2(0(0(2(4(0(2(z0))))))))))))))))), 4'(2(2(0(0(4(1(2(2(2(0(0(2(4(0(2(z0)))))))))))))))), 2'(2(0(0(4(1(2(2(2(0(0(2(4(0(2(z0))))))))))))))), 2'(0(0(4(1(2(2(2(0(0(2(4(0(2(z0)))))))))))))), 0'(0(4(1(2(2(2(0(0(2(4(0(2(z0))))))))))))), 0'(4(1(2(2(2(0(0(2(4(0(2(z0)))))))))))), 4'(1(2(2(2(0(0(2(4(0(2(z0))))))))))), 1'(2(2(2(0(0(2(4(0(2(z0)))))))))), 2'(2(2(0(0(2(4(0(2(z0))))))))), 2'(2(0(0(2(4(0(2(z0)))))))), 2'(0(0(2(4(0(2(z0))))))), 0'(0(2(4(0(2(z0)))))), 0'(2(4(0(2(z0))))), 2'(4(0(2(z0)))), 4'(0(2(z0))), 0'(2(z0)), 2'(z0))
   4'(c_1(c_1(c_4(c_4(c_0(c_1(c_2(c_1(c_0(c_0(c_4(c_4(c_2(c_3(c_3(c_3(c_1(c_3(c_2(z0)))))))))))))))))))) -> c110(3'(1(0(4(2(4(4(1(2(4(3(3(2(2(1(4(3(3(4(2(z0)))))))))))))))))))), 1'(0(4(2(4(4(1(2(4(3(3(2(2(1(4(3(3(4(2(z0))))))))))))))))))), 0'(4(2(4(4(1(2(4(3(3(2(2(1(4(3(3(4(2(z0)))))))))))))))))), 4'(2(4(4(1(2(4(3(3(2(2(1(4(3(3(4(2(z0))))))))))))))))), 2'(4(4(1(2(4(3(3(2(2(1(4(3(3(4(2(z0)))))))))))))))), 4'(4(1(2(4(3(3(2(2(1(4(3(3(4(2(z0))))))))))))))), 4'(1(2(4(3(3(2(2(1(4(3(3(4(2(z0)))))))))))))), 1'(2(4(3(3(2(2(1(4(3(3(4(2(z0))))))))))))), 2'(4(3(3(2(2(1(4(3(3(4(2(z0)))))))))))), 4'(3(3(2(2(1(4(3(3(4(2(z0))))))))))), 3'(3(2(2(1(4(3(3(4(2(z0)))))))))), 3'(2(2(1(4(3(3(4(2(z0))))))))), 2'(2(1(4(3(3(4(2(z0)))))))), 2'(1(4(3(3(4(2(z0))))))), 1'(4(3(3(4(2(z0)))))), 4'(3(3(4(2(z0))))), 3'(3(4(2(z0)))), 3'(4(2(z0))), 4'(2(z0)), 2'(z0))
   4'(c_3(c_1(c_0(c_2(c_1(c_0(c_4(c_4(c_0(c_3(c_1(c_0(c_0(c_3(c_0(c_4(c_3(c_1(c_2(z0)))))))))))))))))))) -> c111(0'(1(3(4(0(2(0(0(3(0(0(3(1(2(4(3(1(1(3(2(z0)))))))))))))))))))), 1'(3(4(0(2(0(0(3(0(0(3(1(2(4(3(1(1(3(2(z0))))))))))))))))))), 3'(4(0(2(0(0(3(0(0(3(1(2(4(3(1(1(3(2(z0)))))))))))))))))), 4'(0(2(0(0(3(0(0(3(1(2(4(3(1(1(3(2(z0))))))))))))))))), 0'(2(0(0(3(0(0(3(1(2(4(3(1(1(3(2(z0)))))))))))))))), 2'(0(0(3(0(0(3(1(2(4(3(1(1(3(2(z0))))))))))))))), 0'(0(3(0(0(3(1(2(4(3(1(1(3(2(z0)))))))))))))), 0'(3(0(0(3(1(2(4(3(1(1(3(2(z0))))))))))))), 3'(0(0(3(1(2(4(3(1(1(3(2(z0)))))))))))), 0'(0(3(1(2(4(3(1(1(3(2(z0))))))))))), 0'(3(1(2(4(3(1(1(3(2(z0)))))))))), 3'(1(2(4(3(1(1(3(2(z0))))))))), 1'(2(4(3(1(1(3(2(z0)))))))), 2'(4(3(1(1(3(2(z0))))))), 4'(3(1(1(3(2(z0)))))), 3'(1(1(3(2(z0))))), 1'(1(3(2(z0)))), 1'(3(2(z0))), 3'(2(z0)), 2'(z0))
   4'(c_0(c_1(c_4(c_1(c_2(c_1(c_3(c_4(c_2(c_4(c_3(c_3(c_2(c_1(c_1(c_4(c_4(c_2(c_2(z0)))))))))))))))))))) -> c112(4'(2(3(4(2(4(1(1(1(2(0(1(1(4(0(0(1(3(2(1(z0)))))))))))))))))))), 2'(3(4(2(4(1(1(1(2(0(1(1(4(0(0(1(3(2(1(z0))))))))))))))))))), 3'(4(2(4(1(1(1(2(0(1(1(4(0(0(1(3(2(1(z0)))))))))))))))))), 4'(2(4(1(1(1(2(0(1(1(4(0(0(1(3(2(1(z0))))))))))))))))), 2'(4(1(1(1(2(0(1(1(4(0(0(1(3(2(1(z0)))))))))))))))), 4'(1(1(1(2(0(1(1(4(0(0(1(3(2(1(z0))))))))))))))), 1'(1(1(2(0(1(1(4(0(0(1(3(2(1(z0)))))))))))))), 1'(1(2(0(1(1(4(0(0(1(3(2(1(z0))))))))))))), 1'(2(0(1(1(4(0(0(1(3(2(1(z0)))))))))))), 2'(0(1(1(4(0(0(1(3(2(1(z0))))))))))), 0'(1(1(4(0(0(1(3(2(1(z0)))))))))), 1'(1(4(0(0(1(3(2(1(z0))))))))), 1'(4(0(0(1(3(2(1(z0)))))))), 4'(0(0(1(3(2(1(z0))))))), 0'(0(1(3(2(1(z0)))))), 0'(1(3(2(1(z0))))), 1'(3(2(1(z0)))), 3'(2(1(z0))), 2'(1(z0)), 1'(z0))
   4'(c_3(c_1(c_1(c_2(c_2(c_1(c_3(c_1(c_0(c_0(c_1(c_1(c_0(c_4(c_2(c_3(c_3(c_0(c_2(z0)))))))))))))))))))) -> c113(0'(3(3(1(4(1(1(2(1(2(1(3(1(3(1(4(2(2(4(2(z0)))))))))))))))))))), 3'(3(1(4(1(1(2(1(2(1(3(1(3(1(4(2(2(4(2(z0))))))))))))))))))), 3'(1(4(1(1(2(1(2(1(3(1(3(1(4(2(2(4(2(z0)))))))))))))))))), 1'(4(1(1(2(1(2(1(3(1(3(1(4(2(2(4(2(z0))))))))))))))))), 4'(1(1(2(1(2(1(3(1(3(1(4(2(2(4(2(z0)))))))))))))))), 1'(1(2(1(2(1(3(1(3(1(4(2(2(4(2(z0))))))))))))))), 1'(2(1(2(1(3(1(3(1(4(2(2(4(2(z0)))))))))))))), 2'(1(2(1(3(1(3(1(4(2(2(4(2(z0))))))))))))), 1'(2(1(3(1(3(1(4(2(2(4(2(z0)))))))))))), 2'(1(3(1(3(1(4(2(2(4(2(z0))))))))))), 1'(3(1(3(1(4(2(2(4(2(z0)))))))))), 3'(1(3(1(4(2(2(4(2(z0))))))))), 1'(3(1(4(2(2(4(2(z0)))))))), 3'(1(4(2(2(4(2(z0))))))), 1'(4(2(2(4(2(z0)))))), 4'(2(2(4(2(z0))))), 2'(2(4(2(z0)))), 2'(4(2(z0))), 4'(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, c28_20, c29_20, c30_20, c31_20, c33_20, c34_20, c35_20, c36_20, c37_20, c38_20, c39_20, c40_20, c41_20, c42_20, c43_20, c44_20, c45_20, c46_20, c47_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_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_20, c94_20, c95_20, c96_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_1(c_1(c_1(c_2(c_4(c_4(c_0(c_3(c_4(c_4(c_0(c_2(c_0(c_4(c_1(c_1(c_2(c_1(z0)))))))))))))))))))) -> 3(1(4(3(2(4(3(3(4(0(0(2(0(3(1(0(1(0(1(2(z0))))))))))))))))))))
   0(c_4(c_0(c_2(c_0(c_1(c_2(c_1(c_4(c_3(c_1(c_4(c_3(c_3(c_1(c_0(c_3(c_3(c_1(c_2(z0)))))))))))))))))))) -> 2(1(0(2(2(4(0(1(4(2(3(4(0(1(2(0(2(4(4(2(z0))))))))))))))))))))
   0(c_1(c_3(c_3(c_3(c_3(c_0(c_1(c_1(c_2(c_0(c_0(c_4(c_4(c_4(c_3(c_1(c_0(c_0(c_2(z0)))))))))))))))))))) -> 2(0(2(4(0(2(3(4(2(0(1(0(0(3(4(3(4(0(3(2(z0))))))))))))))))))))
   0(c_1(c_3(c_1(c_1(c_2(c_3(c_2(c_4(c_3(c_4(c_1(c_1(c_2(c_3(c_1(c_0(c_4(c_2(c_2(z0)))))))))))))))))))) -> 2(2(0(1(1(3(2(0(1(0(2(2(0(4(1(4(2(2(4(2(z0))))))))))))))))))))
   0(c_3(c_4(c_0(c_2(c_0(c_1(c_2(c_3(c_1(c_0(c_4(c_4(c_3(c_1(c_4(c_1(c_3(c_0(c_2(z0)))))))))))))))))))) -> 4(0(4(4(3(3(0(0(3(4(3(4(0(1(4(1(1(4(3(2(z0))))))))))))))))))))
   0(c_4(c_3(c_2(c_4(c_4(c_3(c_4(c_1(c_3(c_3(c_2(c_3(c_1(c_0(c_1(c_2(c_1(c_2(c_2(z0)))))))))))))))))))) -> 1(1(4(0(4(1(1(0(0(1(2(4(0(3(2(4(2(0(3(2(z0))))))))))))))))))))
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   1(z0) -> c_1(z0)
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   1(c_0(c_3(c_4(c_4(c_4(c_4(c_4(c_1(c_3(c_0(c_1(c_2(c_0(c_2(c_0(c_1(c_1(c_3(c_2(z0)))))))))))))))))))) -> 0(1(3(2(1(3(4(1(4(2(4(0(2(4(2(3(0(0(2(1(z0))))))))))))))))))))
   1(c_2(c_3(c_4(c_2(c_4(c_2(c_3(c_2(c_0(c_2(c_1(c_0(c_2(c_2(c_0(c_4(c_2(c_0(c_2(z0)))))))))))))))))))) -> 1(1(1(4(0(4(4(0(0(0(2(1(3(4(0(2(4(0(0(2(z0))))))))))))))))))))
   1(c_3(c_3(c_1(c_0(c_0(c_1(c_1(c_3(c_2(c_3(c_0(c_0(c_0(c_1(c_1(c_1(c_1(c_0(c_2(z0)))))))))))))))))))) -> 1(3(0(4(1(1(4(3(4(2(4(4(3(3(3(2(0(2(2(1(z0))))))))))))))))))))
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   1(c_4(c_1(c_3(c_1(c_1(c_0(c_0(c_0(c_0(c_4(c_3(c_0(c_0(c_2(c_0(c_2(c_1(c_1(c_1(z0)))))))))))))))))))) -> 2(1(4(2(0(0(3(3(4(3(0(2(4(1(0(2(4(4(2(1(z0))))))))))))))))))))
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   2(z0) -> c_2(z0)
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   2(c_1(c_0(c_1(c_0(c_4(c_2(c_1(c_1(c_1(c_3(c_0(c_4(c_2(c_2(c_0(c_2(c_3(c_2(c_2(z0)))))))))))))))))))) -> 3(2(0(3(1(3(1(2(1(2(1(1(1(3(1(1(4(1(3(2(z0))))))))))))))))))))
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   2(c_4(c_2(c_0(c_3(c_2(c_2(c_4(c_4(c_3(c_0(c_1(c_0(c_3(c_2(c_3(c_2(c_2(c_4(c_2(z0)))))))))))))))))))) -> 3(0(4(0(2(4(1(0(3(2(3(0(0(2(4(2(4(1(0(2(z0))))))))))))))))))))
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   2(c_4(c_0(c_4(c_3(c_1(c_2(c_1(c_2(c_2(c_3(c_0(c_1(c_0(c_1(c_3(c_1(c_3(c_3(c_2(z0)))))))))))))))))))) -> 0(2(4(4(1(4(1(4(2(2(2(4(3(3(3(1(1(0(1(2(z0))))))))))))))))))))
   2(c_0(c_1(c_1(c_0(c_0(c_4(c_2(c_3(c_1(c_0(c_2(c_3(c_0(c_3(c_4(c_0(c_3(c_3(c_2(z0)))))))))))))))))))) -> 3(4(1(3(2(0(3(0(4(1(2(4(0(4(4(1(3(2(0(2(z0))))))))))))))))))))
   2(c_2(c_1(c_0(c_1(c_1(c_2(c_0(c_2(c_2(c_0(c_2(c_2(c_1(c_3(c_0(c_4(c_4(c_1(c_2(z0)))))))))))))))))))) -> 1(2(1(2(4(0(2(1(2(0(3(1(1(2(2(4(4(3(1(2(z0))))))))))))))))))))
   2(c_1(c_2(c_3(c_4(c_4(c_0(c_2(c_3(c_2(c_0(c_3(c_2(c_4(c_4(c_4(c_2(c_4(c_2(c_2(z0)))))))))))))))))))) -> 1(1(3(3(1(3(3(2(2(1(4(1(2(2(4(1(2(2(3(2(z0))))))))))))))))))))
   2(c_0(c_4(c_3(c_4(c_0(c_2(c_1(c_3(c_2(c_0(c_3(c_2(c_0(c_1(c_0(c_4(c_4(c_2(c_2(z0)))))))))))))))))))) -> 4(0(3(2(4(0(1(1(2(4(0(4(4(0(4(2(3(2(2(2(z0))))))))))))))))))))
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   2(c_4(c_0(c_3(c_4(c_1(c_1(c_4(c_0(c_2(c_2(c_2(c_3(c_4(c_4(c_3(c_3(c_3(c_0(c_2(z0)))))))))))))))))))) -> 0(1(0(0(1(1(4(3(3(0(4(2(4(1(1(3(2(2(2(2(z0))))))))))))))))))))
   2(c_0(c_0(c_1(c_2(c_3(c_2(c_3(c_0(c_1(c_2(c_4(c_2(c_2(c_1(c_0(c_0(c_3(c_2(c_1(z0)))))))))))))))))))) -> 2(4(0(1(1(2(3(0(0(4(3(0(1(0(4(2(4(3(4(2(z0))))))))))))))))))))
   2(c_0(c_2(c_1(c_3(c_3(c_4(c_0(c_1(c_1(c_2(c_0(c_3(c_1(c_3(c_0(c_1(c_2(c_1(c_2(z0)))))))))))))))))))) -> 2(2(2(0(1(1(4(3(2(0(2(3(3(3(1(1(2(2(4(2(z0))))))))))))))))))))
   2(c_2(c_1(c_2(c_3(c_3(c_2(c_0(c_3(c_0(c_2(c_0(c_4(c_2(c_4(c_1(c_2(c_3(c_0(c_2(z0)))))))))))))))))))) -> 0(4(1(0(2(2(1(0(3(3(4(2(1(4(1(2(1(4(1(2(z0))))))))))))))))))))
   2(c_1(c_2(c_0(c_3(c_1(c_4(c_2(c_3(c_0(c_1(c_1(c_4(c_4(c_2(c_0(c_4(c_3(c_2(c_1(z0)))))))))))))))))))) -> 1(2(3(4(0(1(4(3(1(1(1(4(1(4(0(0(2(1(4(2(z0))))))))))))))))))))
   3(z0) -> c_3(z0)
   3(c_0(c_2(c_3(c_3(c_2(c_0(c_2(c_0(c_1(c_2(c_4(c_3(c_3(c_1(c_4(c_4(c_0(c_2(c_1(z0)))))))))))))))))))) -> 2(0(2(1(1(1(3(3(0(4(2(4(3(0(1(1(1(4(1(2(z0))))))))))))))))))))
   3(c_2(c_1(c_1(c_1(c_4(c_2(c_4(c_0(c_3(c_1(c_3(c_0(c_2(c_3(c_0(c_4(c_0(c_3(c_2(z0)))))))))))))))))))) -> 3(0(3(0(4(3(2(2(1(1(4(4(4(3(0(2(4(2(2(2(z0))))))))))))))))))))
   3(c_3(c_0(c_2(c_0(c_0(c_1(c_3(c_0(c_2(c_2(c_2(c_4(c_0(c_3(c_1(c_1(c_0(c_0(c_2(z0)))))))))))))))))))) -> 4(0(2(1(3(2(4(0(1(4(1(1(0(2(0(0(2(2(4(2(z0))))))))))))))))))))
   3(c_1(c_0(c_2(c_3(c_2(c_2(c_4(c_3(c_0(c_2(c_0(c_4(c_2(c_1(c_0(c_2(c_1(c_1(c_1(z0)))))))))))))))))))) -> 1(4(0(1(0(4(1(1(3(4(3(2(4(4(3(2(1(1(2(2(z0))))))))))))))))))))
   3(c_3(c_0(c_4(c_4(c_2(c_4(c_0(c_4(c_0(c_4(c_2(c_0(c_2(c_2(c_2(c_4(c_0(c_3(c_2(z0)))))))))))))))))))) -> 0(1(0(1(1(1(4(4(0(1(3(2(2(4(1(4(3(4(2(2(z0))))))))))))))))))))
   3(c_2(c_3(c_3(c_3(c_4(c_1(c_2(c_1(c_2(c_1(c_2(c_1(c_3(c_1(c_1(c_0(c_1(c_4(c_2(z0)))))))))))))))))))) -> 3(0(1(0(0(4(4(4(4(2(4(4(4(3(0(0(2(1(4(2(z0))))))))))))))))))))
   3(c_2(c_1(c_0(c_4(c_1(c_2(c_2(c_0(c_3(c_4(c_3(c_2(c_3(c_4(c_1(c_4(c_0(c_1(c_2(z0)))))))))))))))))))) -> 0(2(4(3(3(2(4(3(3(3(1(2(2(3(4(3(4(3(4(2(z0))))))))))))))))))))
   3(c_2(c_4(c_3(c_2(c_2(c_0(c_2(c_3(c_4(c_0(c_1(c_0(c_4(c_3(c_0(c_3(c_0(c_4(c_2(z0)))))))))))))))))))) -> 0(1(2(0(4(2(3(1(4(0(1(1(0(0(1(1(0(1(1(2(z0))))))))))))))))))))
   3(c_1(c_1(c_2(c_4(c_3(c_1(c_2(c_3(c_0(c_1(c_1(c_1(c_2(c_2(c_3(c_1(c_1(c_3(c_2(z0)))))))))))))))))))) -> 4(0(0(1(3(0(1(1(2(4(2(4(3(4(1(4(0(0(0(2(z0))))))))))))))))))))
   3(c_1(c_1(c_1(c_3(c_3(c_0(c_1(c_3(c_4(c_4(c_2(c_2(c_3(c_1(c_3(c_3(c_4(c_1(c_2(z0)))))))))))))))))))) -> 1(4(1(1(2(1(1(3(4(1(4(2(0(0(2(2(3(2(2(2(z0))))))))))))))))))))
   3(c_0(c_4(c_3(c_2(c_3(c_3(c_2(c_3(c_0(c_1(c_0(c_1(c_0(c_1(c_3(c_1(c_4(c_2(c_1(z0)))))))))))))))))))) -> 4(1(3(2(1(4(1(0(1(3(3(1(4(4(0(4(2(1(1(2(z0))))))))))))))))))))
   3(c_4(c_2(c_2(c_4(c_4(c_0(c_3(c_1(c_4(c_1(c_0(c_4(c_0(c_1(c_0(c_2(c_1(c_0(c_2(z0)))))))))))))))))))) -> 0(2(4(1(2(0(3(0(2(3(4(1(1(4(0(3(3(2(4(2(z0))))))))))))))))))))
   3(c_3(c_3(c_4(c_1(c_1(c_4(c_2(c_3(c_0(c_3(c_4(c_4(c_1(c_2(c_3(c_4(c_1(c_4(c_2(z0)))))))))))))))))))) -> 0(2(4(3(1(2(3(4(1(2(0(1(1(3(3(4(1(0(1(2(z0))))))))))))))))))))
   3(c_4(c_0(c_2(c_2(c_1(c_1(c_0(c_3(c_3(c_1(c_3(c_2(c_2(c_2(c_1(c_1(c_2(c_0(c_2(z0)))))))))))))))))))) -> 3(0(2(3(4(2(0(2(1(4(0(3(3(2(4(1(2(4(1(2(z0))))))))))))))))))))
   3(c_4(c_4(c_2(c_1(c_1(c_4(c_3(c_4(c_3(c_0(c_3(c_3(c_3(c_2(c_2(c_0(c_3(c_1(c_2(z0)))))))))))))))))))) -> 2(4(0(3(2(3(1(4(3(2(2(2(0(1(0(2(3(2(3(2(z0))))))))))))))))))))
   3(c_2(c_0(c_3(c_4(c_3(c_1(c_1(c_3(c_2(c_0(c_3(c_0(c_0(c_0(c_1(c_4(c_2(c_4(c_1(z0)))))))))))))))))))) -> 3(3(2(0(2(4(3(0(0(3(3(0(1(2(4(1(0(0(2(1(z0))))))))))))))))))))
   3(c_3(c_3(c_1(c_3(c_4(c_3(c_0(c_3(c_1(c_3(c_2(c_2(c_4(c_0(c_3(c_4(c_2(c_0(c_2(z0)))))))))))))))))))) -> 4(0(4(1(0(2(4(3(4(2(3(2(3(3(3(0(1(0(4(2(z0))))))))))))))))))))
   3(c_0(c_3(c_0(c_0(c_0(c_2(c_0(c_1(c_2(c_2(c_4(c_0(c_1(c_2(c_0(c_3(c_2(c_2(c_2(z0)))))))))))))))))))) -> 4(4(2(4(4(2(4(1(4(4(2(0(3(2(1(4(4(2(4(2(z0))))))))))))))))))))
   3(c_2(c_0(c_1(c_4(c_3(c_0(c_2(c_0(c_2(c_2(c_3(c_0(c_1(c_4(c_2(c_1(c_1(c_1(c_2(z0)))))))))))))))))))) -> 0(3(1(2(2(2(4(0(3(0(0(3(2(4(4(2(4(3(2(1(z0))))))))))))))))))))
   3(c_1(c_1(c_2(c_0(c_3(c_2(c_0(c_4(c_0(c_0(c_4(c_3(c_4(c_3(c_1(c_1(c_2(c_1(c_1(z0)))))))))))))))))))) -> 4(2(0(1(2(4(3(4(4(3(3(3(1(1(3(0(4(3(4(2(z0))))))))))))))))))))
   3(c_3(c_3(c_2(c_1(c_1(c_3(c_3(c_4(c_2(c_4(c_3(c_2(c_2(c_0(c_3(c_0(c_4(c_2(c_2(z0)))))))))))))))))))) -> 1(3(4(2(4(4(4(3(2(4(4(0(3(3(4(0(4(2(2(1(z0))))))))))))))))))))
   3(c_0(c_1(c_2(c_3(c_0(c_1(c_2(c_2(c_2(c_0(c_2(c_3(c_3(c_3(c_4(c_3(c_3(c_2(c_1(z0)))))))))))))))))))) -> 0(2(3(1(3(1(0(1(2(1(1(1(1(3(3(4(4(0(3(2(z0))))))))))))))))))))
   3(c_2(c_3(c_1(c_0(c_1(c_4(c_2(c_4(c_3(c_1(c_0(c_4(c_1(c_4(c_3(c_3(c_1(c_0(c_2(z0)))))))))))))))))))) -> 0(0(1(2(2(0(4(4(4(1(0(2(4(1(4(4(0(1(1(2(z0))))))))))))))))))))
   3(c_1(c_3(c_2(c_2(c_4(c_1(c_0(c_3(c_1(c_3(c_0(c_2(c_0(c_0(c_0(c_3(c_3(c_2(c_1(z0)))))))))))))))))))) -> 1(3(0(2(1(3(2(1(4(2(2(2(3(4(4(0(2(4(3(2(z0))))))))))))))))))))
   4(z0) -> c_4(z0)
   4(c_2(c_3(c_0(c_3(c_4(c_1(c_1(c_1(c_1(c_0(c_4(c_1(c_1(c_1(c_3(c_4(c_4(c_2(c_2(z0)))))))))))))))))))) -> 2(0(3(3(2(4(4(2(1(1(4(1(1(0(0(2(4(0(0(2(z0))))))))))))))))))))
   4(c_1(c_1(c_3(c_2(c_3(c_0(c_3(c_3(c_3(c_4(c_2(c_4(c_4(c_4(c_1(c_0(c_2(c_0(c_2(z0)))))))))))))))))))) -> 4(4(4(4(1(0(0(3(1(4(0(4(4(0(3(0(1(3(2(2(z0))))))))))))))))))))
   4(c_2(c_1(c_1(c_0(c_1(c_0(c_0(c_2(c_0(c_3(c_2(c_1(c_0(c_0(c_3(c_0(c_1(c_2(c_2(z0)))))))))))))))))))) -> 0(0(4(1(0(1(4(2(4(1(0(0(0(1(4(1(3(3(2(1(z0))))))))))))))))))))
   4(c_3(c_0(c_3(c_2(c_3(c_0(c_4(c_3(c_1(c_3(c_4(c_2(c_0(c_3(c_4(c_3(c_2(c_2(c_1(z0)))))))))))))))))))) -> 0(3(4(3(3(2(4(1(0(0(1(0(0(2(0(3(2(0(2(2(z0))))))))))))))))))))
   4(c_0(c_1(c_3(c_3(c_2(c_4(c_3(c_3(c_2(c_0(c_0(c_1(c_2(c_3(c_4(c_2(c_3(c_3(c_2(z0)))))))))))))))))))) -> 2(4(3(0(3(0(1(4(2(1(4(3(2(1(3(2(3(1(2(2(z0))))))))))))))))))))
   4(c_4(c_3(c_1(c_1(c_3(c_4(c_3(c_2(c_3(c_1(c_1(c_0(c_0(c_0(c_0(c_0(c_0(c_2(c_1(z0)))))))))))))))))))) -> 0(4(0(1(3(0(2(4(3(1(2(2(3(2(0(0(4(4(1(2(z0))))))))))))))))))))
   4(c_4(c_3(c_3(c_4(c_0(c_1(c_0(c_1(c_4(c_0(c_0(c_2(c_3(c_3(c_4(c_0(c_0(c_2(c_1(z0)))))))))))))))))))) -> 1(0(1(2(0(1(1(1(1(2(0(0(1(4(3(2(2(4(3(2(z0))))))))))))))))))))
   4(c_3(c_3(c_0(c_2(c_4(c_1(c_2(c_2(c_3(c_0(c_0(c_2(c_0(c_0(c_1(c_0(c_3(c_1(c_2(z0)))))))))))))))))))) -> 4(0(2(3(1(1(4(3(3(1(1(4(0(2(3(2(2(0(1(2(z0))))))))))))))))))))
   4(c_3(c_4(c_0(c_2(c_4(c_3(c_2(c_3(c_3(c_1(c_3(c_3(c_4(c_2(c_4(c_0(c_4(c_1(c_2(z0)))))))))))))))))))) -> 4(4(3(4(1(0(4(4(3(0(2(1(4(2(1(1(4(4(1(2(z0))))))))))))))))))))
   4(c_4(c_2(c_4(c_0(c_0(c_2(c_3(c_4(c_3(c_3(c_1(c_4(c_2(c_2(c_3(c_1(c_0(c_2(c_1(z0)))))))))))))))))))) -> 4(4(1(4(4(4(1(1(4(0(2(3(2(3(1(2(2(1(2(1(z0))))))))))))))))))))
   4(c_1(c_3(c_4(c_3(c_2(c_2(c_1(c_1(c_2(c_3(c_0(c_4(c_1(c_1(c_3(c_4(c_3(c_4(c_2(z0)))))))))))))))))))) -> 2(4(2(1(1(4(0(2(3(0(0(4(2(4(4(0(3(3(1(2(z0))))))))))))))))))))
   4(c_1(c_0(c_2(c_0(c_0(c_0(c_2(c_3(c_4(c_0(c_4(c_2(c_0(c_2(c_0(c_3(c_4(c_3(c_2(z0)))))))))))))))))))) -> 2(1(1(1(4(2(2(0(0(4(1(2(2(2(0(0(2(4(0(2(z0))))))))))))))))))))
   4(c_1(c_1(c_4(c_4(c_0(c_1(c_2(c_1(c_0(c_0(c_4(c_4(c_2(c_3(c_3(c_3(c_1(c_3(c_2(z0)))))))))))))))))))) -> 3(1(0(4(2(4(4(1(2(4(3(3(2(2(1(4(3(3(4(2(z0))))))))))))))))))))
   4(c_3(c_1(c_0(c_2(c_1(c_0(c_4(c_4(c_0(c_3(c_1(c_0(c_0(c_3(c_0(c_4(c_3(c_1(c_2(z0)))))))))))))))))))) -> 0(1(3(4(0(2(0(0(3(0(0(3(1(2(4(3(1(1(3(2(z0))))))))))))))))))))
   4(c_0(c_1(c_4(c_1(c_2(c_1(c_3(c_4(c_2(c_4(c_3(c_3(c_2(c_1(c_1(c_4(c_4(c_2(c_2(z0)))))))))))))))))))) -> 4(2(3(4(2(4(1(1(1(2(0(1(1(4(0(0(1(3(2(1(z0))))))))))))))))))))
   4(c_3(c_1(c_1(c_2(c_2(c_1(c_3(c_1(c_0(c_0(c_1(c_1(c_0(c_4(c_2(c_3(c_3(c_0(c_2(z0)))))))))))))))))))) -> 0(3(3(1(4(1(1(2(1(2(1(3(1(3(1(4(2(2(4(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_1(c_1(c_1(c_2(c_4(c_4(c_0(c_3(c_4(c_4(c_0(c_2(c_0(c_4(c_1(c_1(c_2(c_1(z0)))))))))))))))))))) -> c11(3'(1(4(3(2(4(3(3(4(0(0(2(0(3(1(0(1(0(1(2(z0)))))))))))))))))))), 1'(4(3(2(4(3(3(4(0(0(2(0(3(1(0(1(0(1(2(z0))))))))))))))))))), 4'(3(2(4(3(3(4(0(0(2(0(3(1(0(1(0(1(2(z0)))))))))))))))))), 3'(2(4(3(3(4(0(0(2(0(3(1(0(1(0(1(2(z0))))))))))))))))), 2'(4(3(3(4(0(0(2(0(3(1(0(1(0(1(2(z0)))))))))))))))), 4'(3(3(4(0(0(2(0(3(1(0(1(0(1(2(z0))))))))))))))), 3'(3(4(0(0(2(0(3(1(0(1(0(1(2(z0)))))))))))))), 3'(4(0(0(2(0(3(1(0(1(0(1(2(z0))))))))))))), 4'(0(0(2(0(3(1(0(1(0(1(2(z0)))))))))))), 0'(0(2(0(3(1(0(1(0(1(2(z0))))))))))), 0'(2(0(3(1(0(1(0(1(2(z0)))))))))), 2'(0(3(1(0(1(0(1(2(z0))))))))), 0'(3(1(0(1(0(1(2(z0)))))))), 3'(1(0(1(0(1(2(z0))))))), 1'(0(1(0(1(2(z0)))))), 0'(1(0(1(2(z0))))), 1'(0(1(2(z0)))), 0'(1(2(z0))), 1'(2(z0)), 2'(z0))
   0'(c_4(c_0(c_2(c_0(c_1(c_2(c_1(c_4(c_3(c_1(c_4(c_3(c_3(c_1(c_0(c_3(c_3(c_1(c_2(z0)))))))))))))))))))) -> c12(2'(1(0(2(2(4(0(1(4(2(3(4(0(1(2(0(2(4(4(2(z0)))))))))))))))))))), 1'(0(2(2(4(0(1(4(2(3(4(0(1(2(0(2(4(4(2(z0))))))))))))))))))), 0'(2(2(4(0(1(4(2(3(4(0(1(2(0(2(4(4(2(z0)))))))))))))))))), 2'(2(4(0(1(4(2(3(4(0(1(2(0(2(4(4(2(z0))))))))))))))))), 2'(4(0(1(4(2(3(4(0(1(2(0(2(4(4(2(z0)))))))))))))))), 4'(0(1(4(2(3(4(0(1(2(0(2(4(4(2(z0))))))))))))))), 0'(1(4(2(3(4(0(1(2(0(2(4(4(2(z0)))))))))))))), 1'(4(2(3(4(0(1(2(0(2(4(4(2(z0))))))))))))), 4'(2(3(4(0(1(2(0(2(4(4(2(z0)))))))))))), 2'(3(4(0(1(2(0(2(4(4(2(z0))))))))))), 3'(4(0(1(2(0(2(4(4(2(z0)))))))))), 4'(0(1(2(0(2(4(4(2(z0))))))))), 0'(1(2(0(2(4(4(2(z0)))))))), 1'(2(0(2(4(4(2(z0))))))), 2'(0(2(4(4(2(z0)))))), 0'(2(4(4(2(z0))))), 2'(4(4(2(z0)))), 4'(4(2(z0))), 4'(2(z0)), 2'(z0))
   0'(c_1(c_3(c_3(c_3(c_3(c_0(c_1(c_1(c_2(c_0(c_0(c_4(c_4(c_4(c_3(c_1(c_0(c_0(c_2(z0)))))))))))))))))))) -> c13(2'(0(2(4(0(2(3(4(2(0(1(0(0(3(4(3(4(0(3(2(z0)))))))))))))))))))), 0'(2(4(0(2(3(4(2(0(1(0(0(3(4(3(4(0(3(2(z0))))))))))))))))))), 2'(4(0(2(3(4(2(0(1(0(0(3(4(3(4(0(3(2(z0)))))))))))))))))), 4'(0(2(3(4(2(0(1(0(0(3(4(3(4(0(3(2(z0))))))))))))))))), 0'(2(3(4(2(0(1(0(0(3(4(3(4(0(3(2(z0)))))))))))))))), 2'(3(4(2(0(1(0(0(3(4(3(4(0(3(2(z0))))))))))))))), 3'(4(2(0(1(0(0(3(4(3(4(0(3(2(z0)))))))))))))), 4'(2(0(1(0(0(3(4(3(4(0(3(2(z0))))))))))))), 2'(0(1(0(0(3(4(3(4(0(3(2(z0)))))))))))), 0'(1(0(0(3(4(3(4(0(3(2(z0))))))))))), 1'(0(0(3(4(3(4(0(3(2(z0)))))))))), 0'(0(3(4(3(4(0(3(2(z0))))))))), 0'(3(4(3(4(0(3(2(z0)))))))), 3'(4(3(4(0(3(2(z0))))))), 4'(3(4(0(3(2(z0)))))), 3'(4(0(3(2(z0))))), 4'(0(3(2(z0)))), 0'(3(2(z0))), 3'(2(z0)), 2'(z0))
   0'(c_1(c_3(c_1(c_1(c_2(c_3(c_2(c_4(c_3(c_4(c_1(c_1(c_2(c_3(c_1(c_0(c_4(c_2(c_2(z0)))))))))))))))))))) -> c14(2'(2(0(1(1(3(2(0(1(0(2(2(0(4(1(4(2(2(4(2(z0)))))))))))))))))))), 2'(0(1(1(3(2(0(1(0(2(2(0(4(1(4(2(2(4(2(z0))))))))))))))))))), 0'(1(1(3(2(0(1(0(2(2(0(4(1(4(2(2(4(2(z0)))))))))))))))))), 1'(1(3(2(0(1(0(2(2(0(4(1(4(2(2(4(2(z0))))))))))))))))), 1'(3(2(0(1(0(2(2(0(4(1(4(2(2(4(2(z0)))))))))))))))), 3'(2(0(1(0(2(2(0(4(1(4(2(2(4(2(z0))))))))))))))), 2'(0(1(0(2(2(0(4(1(4(2(2(4(2(z0)))))))))))))), 0'(1(0(2(2(0(4(1(4(2(2(4(2(z0))))))))))))), 1'(0(2(2(0(4(1(4(2(2(4(2(z0)))))))))))), 0'(2(2(0(4(1(4(2(2(4(2(z0))))))))))), 2'(2(0(4(1(4(2(2(4(2(z0)))))))))), 2'(0(4(1(4(2(2(4(2(z0))))))))), 0'(4(1(4(2(2(4(2(z0)))))))), 4'(1(4(2(2(4(2(z0))))))), 1'(4(2(2(4(2(z0)))))), 4'(2(2(4(2(z0))))), 2'(2(4(2(z0)))), 2'(4(2(z0))), 4'(2(z0)), 2'(z0))
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   4'(c_3(c_4(c_0(c_2(c_4(c_3(c_2(c_3(c_3(c_1(c_3(c_3(c_4(c_2(c_4(c_0(c_4(c_1(c_2(z0)))))))))))))))))))) -> c106(4'(4(3(4(1(0(4(4(3(0(2(1(4(2(1(1(4(4(1(2(z0)))))))))))))))))))), 4'(3(4(1(0(4(4(3(0(2(1(4(2(1(1(4(4(1(2(z0))))))))))))))))))), 3'(4(1(0(4(4(3(0(2(1(4(2(1(1(4(4(1(2(z0)))))))))))))))))), 4'(1(0(4(4(3(0(2(1(4(2(1(1(4(4(1(2(z0))))))))))))))))), 1'(0(4(4(3(0(2(1(4(2(1(1(4(4(1(2(z0)))))))))))))))), 0'(4(4(3(0(2(1(4(2(1(1(4(4(1(2(z0))))))))))))))), 4'(4(3(0(2(1(4(2(1(1(4(4(1(2(z0)))))))))))))), 4'(3(0(2(1(4(2(1(1(4(4(1(2(z0))))))))))))), 3'(0(2(1(4(2(1(1(4(4(1(2(z0)))))))))))), 0'(2(1(4(2(1(1(4(4(1(2(z0))))))))))), 2'(1(4(2(1(1(4(4(1(2(z0)))))))))), 1'(4(2(1(1(4(4(1(2(z0))))))))), 4'(2(1(1(4(4(1(2(z0)))))))), 2'(1(1(4(4(1(2(z0))))))), 1'(1(4(4(1(2(z0)))))), 1'(4(4(1(2(z0))))), 4'(4(1(2(z0)))), 4'(1(2(z0))), 1'(2(z0)), 2'(z0))
   4'(c_4(c_2(c_4(c_0(c_0(c_2(c_3(c_4(c_3(c_3(c_1(c_4(c_2(c_2(c_3(c_1(c_0(c_2(c_1(z0)))))))))))))))))))) -> c107(4'(4(1(4(4(4(1(1(4(0(2(3(2(3(1(2(2(1(2(1(z0)))))))))))))))))))), 4'(1(4(4(4(1(1(4(0(2(3(2(3(1(2(2(1(2(1(z0))))))))))))))))))), 1'(4(4(4(1(1(4(0(2(3(2(3(1(2(2(1(2(1(z0)))))))))))))))))), 4'(4(4(1(1(4(0(2(3(2(3(1(2(2(1(2(1(z0))))))))))))))))), 4'(4(1(1(4(0(2(3(2(3(1(2(2(1(2(1(z0)))))))))))))))), 4'(1(1(4(0(2(3(2(3(1(2(2(1(2(1(z0))))))))))))))), 1'(1(4(0(2(3(2(3(1(2(2(1(2(1(z0)))))))))))))), 1'(4(0(2(3(2(3(1(2(2(1(2(1(z0))))))))))))), 4'(0(2(3(2(3(1(2(2(1(2(1(z0)))))))))))), 0'(2(3(2(3(1(2(2(1(2(1(z0))))))))))), 2'(3(2(3(1(2(2(1(2(1(z0)))))))))), 3'(2(3(1(2(2(1(2(1(z0))))))))), 2'(3(1(2(2(1(2(1(z0)))))))), 3'(1(2(2(1(2(1(z0))))))), 1'(2(2(1(2(1(z0)))))), 2'(2(1(2(1(z0))))), 2'(1(2(1(z0)))), 1'(2(1(z0))), 2'(1(z0)), 1'(z0))
   4'(c_1(c_3(c_4(c_3(c_2(c_2(c_1(c_1(c_2(c_3(c_0(c_4(c_1(c_1(c_3(c_4(c_3(c_4(c_2(z0)))))))))))))))))))) -> c108(2'(4(2(1(1(4(0(2(3(0(0(4(2(4(4(0(3(3(1(2(z0)))))))))))))))))))), 4'(2(1(1(4(0(2(3(0(0(4(2(4(4(0(3(3(1(2(z0))))))))))))))))))), 2'(1(1(4(0(2(3(0(0(4(2(4(4(0(3(3(1(2(z0)))))))))))))))))), 1'(1(4(0(2(3(0(0(4(2(4(4(0(3(3(1(2(z0))))))))))))))))), 1'(4(0(2(3(0(0(4(2(4(4(0(3(3(1(2(z0)))))))))))))))), 4'(0(2(3(0(0(4(2(4(4(0(3(3(1(2(z0))))))))))))))), 0'(2(3(0(0(4(2(4(4(0(3(3(1(2(z0)))))))))))))), 2'(3(0(0(4(2(4(4(0(3(3(1(2(z0))))))))))))), 3'(0(0(4(2(4(4(0(3(3(1(2(z0)))))))))))), 0'(0(4(2(4(4(0(3(3(1(2(z0))))))))))), 0'(4(2(4(4(0(3(3(1(2(z0)))))))))), 4'(2(4(4(0(3(3(1(2(z0))))))))), 2'(4(4(0(3(3(1(2(z0)))))))), 4'(4(0(3(3(1(2(z0))))))), 4'(0(3(3(1(2(z0)))))), 0'(3(3(1(2(z0))))), 3'(3(1(2(z0)))), 3'(1(2(z0))), 1'(2(z0)), 2'(z0))
   4'(c_1(c_0(c_2(c_0(c_0(c_0(c_2(c_3(c_4(c_0(c_4(c_2(c_0(c_2(c_0(c_3(c_4(c_3(c_2(z0)))))))))))))))))))) -> c109(2'(1(1(1(4(2(2(0(0(4(1(2(2(2(0(0(2(4(0(2(z0)))))))))))))))))))), 1'(1(1(4(2(2(0(0(4(1(2(2(2(0(0(2(4(0(2(z0))))))))))))))))))), 1'(1(4(2(2(0(0(4(1(2(2(2(0(0(2(4(0(2(z0)))))))))))))))))), 1'(4(2(2(0(0(4(1(2(2(2(0(0(2(4(0(2(z0))))))))))))))))), 4'(2(2(0(0(4(1(2(2(2(0(0(2(4(0(2(z0)))))))))))))))), 2'(2(0(0(4(1(2(2(2(0(0(2(4(0(2(z0))))))))))))))), 2'(0(0(4(1(2(2(2(0(0(2(4(0(2(z0)))))))))))))), 0'(0(4(1(2(2(2(0(0(2(4(0(2(z0))))))))))))), 0'(4(1(2(2(2(0(0(2(4(0(2(z0)))))))))))), 4'(1(2(2(2(0(0(2(4(0(2(z0))))))))))), 1'(2(2(2(0(0(2(4(0(2(z0)))))))))), 2'(2(2(0(0(2(4(0(2(z0))))))))), 2'(2(0(0(2(4(0(2(z0)))))))), 2'(0(0(2(4(0(2(z0))))))), 0'(0(2(4(0(2(z0)))))), 0'(2(4(0(2(z0))))), 2'(4(0(2(z0)))), 4'(0(2(z0))), 0'(2(z0)), 2'(z0))
   4'(c_1(c_1(c_4(c_4(c_0(c_1(c_2(c_1(c_0(c_0(c_4(c_4(c_2(c_3(c_3(c_3(c_1(c_3(c_2(z0)))))))))))))))))))) -> c110(3'(1(0(4(2(4(4(1(2(4(3(3(2(2(1(4(3(3(4(2(z0)))))))))))))))))))), 1'(0(4(2(4(4(1(2(4(3(3(2(2(1(4(3(3(4(2(z0))))))))))))))))))), 0'(4(2(4(4(1(2(4(3(3(2(2(1(4(3(3(4(2(z0)))))))))))))))))), 4'(2(4(4(1(2(4(3(3(2(2(1(4(3(3(4(2(z0))))))))))))))))), 2'(4(4(1(2(4(3(3(2(2(1(4(3(3(4(2(z0)))))))))))))))), 4'(4(1(2(4(3(3(2(2(1(4(3(3(4(2(z0))))))))))))))), 4'(1(2(4(3(3(2(2(1(4(3(3(4(2(z0)))))))))))))), 1'(2(4(3(3(2(2(1(4(3(3(4(2(z0))))))))))))), 2'(4(3(3(2(2(1(4(3(3(4(2(z0)))))))))))), 4'(3(3(2(2(1(4(3(3(4(2(z0))))))))))), 3'(3(2(2(1(4(3(3(4(2(z0)))))))))), 3'(2(2(1(4(3(3(4(2(z0))))))))), 2'(2(1(4(3(3(4(2(z0)))))))), 2'(1(4(3(3(4(2(z0))))))), 1'(4(3(3(4(2(z0)))))), 4'(3(3(4(2(z0))))), 3'(3(4(2(z0)))), 3'(4(2(z0))), 4'(2(z0)), 2'(z0))
   4'(c_3(c_1(c_0(c_2(c_1(c_0(c_4(c_4(c_0(c_3(c_1(c_0(c_0(c_3(c_0(c_4(c_3(c_1(c_2(z0)))))))))))))))))))) -> c111(0'(1(3(4(0(2(0(0(3(0(0(3(1(2(4(3(1(1(3(2(z0)))))))))))))))))))), 1'(3(4(0(2(0(0(3(0(0(3(1(2(4(3(1(1(3(2(z0))))))))))))))))))), 3'(4(0(2(0(0(3(0(0(3(1(2(4(3(1(1(3(2(z0)))))))))))))))))), 4'(0(2(0(0(3(0(0(3(1(2(4(3(1(1(3(2(z0))))))))))))))))), 0'(2(0(0(3(0(0(3(1(2(4(3(1(1(3(2(z0)))))))))))))))), 2'(0(0(3(0(0(3(1(2(4(3(1(1(3(2(z0))))))))))))))), 0'(0(3(0(0(3(1(2(4(3(1(1(3(2(z0)))))))))))))), 0'(3(0(0(3(1(2(4(3(1(1(3(2(z0))))))))))))), 3'(0(0(3(1(2(4(3(1(1(3(2(z0)))))))))))), 0'(0(3(1(2(4(3(1(1(3(2(z0))))))))))), 0'(3(1(2(4(3(1(1(3(2(z0)))))))))), 3'(1(2(4(3(1(1(3(2(z0))))))))), 1'(2(4(3(1(1(3(2(z0)))))))), 2'(4(3(1(1(3(2(z0))))))), 4'(3(1(1(3(2(z0)))))), 3'(1(1(3(2(z0))))), 1'(1(3(2(z0)))), 1'(3(2(z0))), 3'(2(z0)), 2'(z0))
   4'(c_0(c_1(c_4(c_1(c_2(c_1(c_3(c_4(c_2(c_4(c_3(c_3(c_2(c_1(c_1(c_4(c_4(c_2(c_2(z0)))))))))))))))))))) -> c112(4'(2(3(4(2(4(1(1(1(2(0(1(1(4(0(0(1(3(2(1(z0)))))))))))))))))))), 2'(3(4(2(4(1(1(1(2(0(1(1(4(0(0(1(3(2(1(z0))))))))))))))))))), 3'(4(2(4(1(1(1(2(0(1(1(4(0(0(1(3(2(1(z0)))))))))))))))))), 4'(2(4(1(1(1(2(0(1(1(4(0(0(1(3(2(1(z0))))))))))))))))), 2'(4(1(1(1(2(0(1(1(4(0(0(1(3(2(1(z0)))))))))))))))), 4'(1(1(1(2(0(1(1(4(0(0(1(3(2(1(z0))))))))))))))), 1'(1(1(2(0(1(1(4(0(0(1(3(2(1(z0)))))))))))))), 1'(1(2(0(1(1(4(0(0(1(3(2(1(z0))))))))))))), 1'(2(0(1(1(4(0(0(1(3(2(1(z0)))))))))))), 2'(0(1(1(4(0(0(1(3(2(1(z0))))))))))), 0'(1(1(4(0(0(1(3(2(1(z0)))))))))), 1'(1(4(0(0(1(3(2(1(z0))))))))), 1'(4(0(0(1(3(2(1(z0)))))))), 4'(0(0(1(3(2(1(z0))))))), 0'(0(1(3(2(1(z0)))))), 0'(1(3(2(1(z0))))), 1'(3(2(1(z0)))), 3'(2(1(z0))), 2'(1(z0)), 1'(z0))
   4'(c_3(c_1(c_1(c_2(c_2(c_1(c_3(c_1(c_0(c_0(c_1(c_1(c_0(c_4(c_2(c_3(c_3(c_0(c_2(z0)))))))))))))))))))) -> c113(0'(3(3(1(4(1(1(2(1(2(1(3(1(3(1(4(2(2(4(2(z0)))))))))))))))))))), 3'(3(1(4(1(1(2(1(2(1(3(1(3(1(4(2(2(4(2(z0))))))))))))))))))), 3'(1(4(1(1(2(1(2(1(3(1(3(1(4(2(2(4(2(z0)))))))))))))))))), 1'(4(1(1(2(1(2(1(3(1(3(1(4(2(2(4(2(z0))))))))))))))))), 4'(1(1(2(1(2(1(3(1(3(1(4(2(2(4(2(z0)))))))))))))))), 1'(1(2(1(2(1(3(1(3(1(4(2(2(4(2(z0))))))))))))))), 1'(2(1(2(1(3(1(3(1(4(2(2(4(2(z0)))))))))))))), 2'(1(2(1(3(1(3(1(4(2(2(4(2(z0))))))))))))), 1'(2(1(3(1(3(1(4(2(2(4(2(z0)))))))))))), 2'(1(3(1(3(1(4(2(2(4(2(z0))))))))))), 1'(3(1(3(1(4(2(2(4(2(z0)))))))))), 3'(1(3(1(4(2(2(4(2(z0))))))))), 1'(3(1(4(2(2(4(2(z0)))))))), 3'(1(4(2(2(4(2(z0))))))), 1'(4(2(2(4(2(z0)))))), 4'(2(2(4(2(z0))))), 2'(2(4(2(z0)))), 2'(4(2(z0))), 4'(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_1(c_1(c_1(c_2(c_4(c_4(c_0(c_3(c_4(c_4(c_0(c_2(c_0(c_4(c_1(c_1(c_2(c_1(z0)))))))))))))))))))) -> c11(3'(1(4(3(2(4(3(3(4(0(0(2(0(3(1(0(1(0(1(2(z0)))))))))))))))))))), 1'(4(3(2(4(3(3(4(0(0(2(0(3(1(0(1(0(1(2(z0))))))))))))))))))), 4'(3(2(4(3(3(4(0(0(2(0(3(1(0(1(0(1(2(z0)))))))))))))))))), 3'(2(4(3(3(4(0(0(2(0(3(1(0(1(0(1(2(z0))))))))))))))))), 2'(4(3(3(4(0(0(2(0(3(1(0(1(0(1(2(z0)))))))))))))))), 4'(3(3(4(0(0(2(0(3(1(0(1(0(1(2(z0))))))))))))))), 3'(3(4(0(0(2(0(3(1(0(1(0(1(2(z0)))))))))))))), 3'(4(0(0(2(0(3(1(0(1(0(1(2(z0))))))))))))), 4'(0(0(2(0(3(1(0(1(0(1(2(z0)))))))))))), 0'(0(2(0(3(1(0(1(0(1(2(z0))))))))))), 0'(2(0(3(1(0(1(0(1(2(z0)))))))))), 2'(0(3(1(0(1(0(1(2(z0))))))))), 0'(3(1(0(1(0(1(2(z0)))))))), 3'(1(0(1(0(1(2(z0))))))), 1'(0(1(0(1(2(z0)))))), 0'(1(0(1(2(z0))))), 1'(0(1(2(z0)))), 0'(1(2(z0))), 1'(2(z0)), 2'(z0))
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   4'(c_3(c_3(c_0(c_2(c_4(c_1(c_2(c_2(c_3(c_0(c_0(c_2(c_0(c_0(c_1(c_0(c_3(c_1(c_2(z0)))))))))))))))))))) -> c105(4'(0(2(3(1(1(4(3(3(1(1(4(0(2(3(2(2(0(1(2(z0)))))))))))))))))))), 0'(2(3(1(1(4(3(3(1(1(4(0(2(3(2(2(0(1(2(z0))))))))))))))))))), 2'(3(1(1(4(3(3(1(1(4(0(2(3(2(2(0(1(2(z0)))))))))))))))))), 3'(1(1(4(3(3(1(1(4(0(2(3(2(2(0(1(2(z0))))))))))))))))), 1'(1(4(3(3(1(1(4(0(2(3(2(2(0(1(2(z0)))))))))))))))), 1'(4(3(3(1(1(4(0(2(3(2(2(0(1(2(z0))))))))))))))), 4'(3(3(1(1(4(0(2(3(2(2(0(1(2(z0)))))))))))))), 3'(3(1(1(4(0(2(3(2(2(0(1(2(z0))))))))))))), 3'(1(1(4(0(2(3(2(2(0(1(2(z0)))))))))))), 1'(1(4(0(2(3(2(2(0(1(2(z0))))))))))), 1'(4(0(2(3(2(2(0(1(2(z0)))))))))), 4'(0(2(3(2(2(0(1(2(z0))))))))), 0'(2(3(2(2(0(1(2(z0)))))))), 2'(3(2(2(0(1(2(z0))))))), 3'(2(2(0(1(2(z0)))))), 2'(2(0(1(2(z0))))), 2'(0(1(2(z0)))), 0'(1(2(z0))), 1'(2(z0)), 2'(z0))
   4'(c_3(c_4(c_0(c_2(c_4(c_3(c_2(c_3(c_3(c_1(c_3(c_3(c_4(c_2(c_4(c_0(c_4(c_1(c_2(z0)))))))))))))))))))) -> c106(4'(4(3(4(1(0(4(4(3(0(2(1(4(2(1(1(4(4(1(2(z0)))))))))))))))))))), 4'(3(4(1(0(4(4(3(0(2(1(4(2(1(1(4(4(1(2(z0))))))))))))))))))), 3'(4(1(0(4(4(3(0(2(1(4(2(1(1(4(4(1(2(z0)))))))))))))))))), 4'(1(0(4(4(3(0(2(1(4(2(1(1(4(4(1(2(z0))))))))))))))))), 1'(0(4(4(3(0(2(1(4(2(1(1(4(4(1(2(z0)))))))))))))))), 0'(4(4(3(0(2(1(4(2(1(1(4(4(1(2(z0))))))))))))))), 4'(4(3(0(2(1(4(2(1(1(4(4(1(2(z0)))))))))))))), 4'(3(0(2(1(4(2(1(1(4(4(1(2(z0))))))))))))), 3'(0(2(1(4(2(1(1(4(4(1(2(z0)))))))))))), 0'(2(1(4(2(1(1(4(4(1(2(z0))))))))))), 2'(1(4(2(1(1(4(4(1(2(z0)))))))))), 1'(4(2(1(1(4(4(1(2(z0))))))))), 4'(2(1(1(4(4(1(2(z0)))))))), 2'(1(1(4(4(1(2(z0))))))), 1'(1(4(4(1(2(z0)))))), 1'(4(4(1(2(z0))))), 4'(4(1(2(z0)))), 4'(1(2(z0))), 1'(2(z0)), 2'(z0))
   4'(c_4(c_2(c_4(c_0(c_0(c_2(c_3(c_4(c_3(c_3(c_1(c_4(c_2(c_2(c_3(c_1(c_0(c_2(c_1(z0)))))))))))))))))))) -> c107(4'(4(1(4(4(4(1(1(4(0(2(3(2(3(1(2(2(1(2(1(z0)))))))))))))))))))), 4'(1(4(4(4(1(1(4(0(2(3(2(3(1(2(2(1(2(1(z0))))))))))))))))))), 1'(4(4(4(1(1(4(0(2(3(2(3(1(2(2(1(2(1(z0)))))))))))))))))), 4'(4(4(1(1(4(0(2(3(2(3(1(2(2(1(2(1(z0))))))))))))))))), 4'(4(1(1(4(0(2(3(2(3(1(2(2(1(2(1(z0)))))))))))))))), 4'(1(1(4(0(2(3(2(3(1(2(2(1(2(1(z0))))))))))))))), 1'(1(4(0(2(3(2(3(1(2(2(1(2(1(z0)))))))))))))), 1'(4(0(2(3(2(3(1(2(2(1(2(1(z0))))))))))))), 4'(0(2(3(2(3(1(2(2(1(2(1(z0)))))))))))), 0'(2(3(2(3(1(2(2(1(2(1(z0))))))))))), 2'(3(2(3(1(2(2(1(2(1(z0)))))))))), 3'(2(3(1(2(2(1(2(1(z0))))))))), 2'(3(1(2(2(1(2(1(z0)))))))), 3'(1(2(2(1(2(1(z0))))))), 1'(2(2(1(2(1(z0)))))), 2'(2(1(2(1(z0))))), 2'(1(2(1(z0)))), 1'(2(1(z0))), 2'(1(z0)), 1'(z0))
   4'(c_1(c_3(c_4(c_3(c_2(c_2(c_1(c_1(c_2(c_3(c_0(c_4(c_1(c_1(c_3(c_4(c_3(c_4(c_2(z0)))))))))))))))))))) -> c108(2'(4(2(1(1(4(0(2(3(0(0(4(2(4(4(0(3(3(1(2(z0)))))))))))))))))))), 4'(2(1(1(4(0(2(3(0(0(4(2(4(4(0(3(3(1(2(z0))))))))))))))))))), 2'(1(1(4(0(2(3(0(0(4(2(4(4(0(3(3(1(2(z0)))))))))))))))))), 1'(1(4(0(2(3(0(0(4(2(4(4(0(3(3(1(2(z0))))))))))))))))), 1'(4(0(2(3(0(0(4(2(4(4(0(3(3(1(2(z0)))))))))))))))), 4'(0(2(3(0(0(4(2(4(4(0(3(3(1(2(z0))))))))))))))), 0'(2(3(0(0(4(2(4(4(0(3(3(1(2(z0)))))))))))))), 2'(3(0(0(4(2(4(4(0(3(3(1(2(z0))))))))))))), 3'(0(0(4(2(4(4(0(3(3(1(2(z0)))))))))))), 0'(0(4(2(4(4(0(3(3(1(2(z0))))))))))), 0'(4(2(4(4(0(3(3(1(2(z0)))))))))), 4'(2(4(4(0(3(3(1(2(z0))))))))), 2'(4(4(0(3(3(1(2(z0)))))))), 4'(4(0(3(3(1(2(z0))))))), 4'(0(3(3(1(2(z0)))))), 0'(3(3(1(2(z0))))), 3'(3(1(2(z0)))), 3'(1(2(z0))), 1'(2(z0)), 2'(z0))
   4'(c_1(c_0(c_2(c_0(c_0(c_0(c_2(c_3(c_4(c_0(c_4(c_2(c_0(c_2(c_0(c_3(c_4(c_3(c_2(z0)))))))))))))))))))) -> c109(2'(1(1(1(4(2(2(0(0(4(1(2(2(2(0(0(2(4(0(2(z0)))))))))))))))))))), 1'(1(1(4(2(2(0(0(4(1(2(2(2(0(0(2(4(0(2(z0))))))))))))))))))), 1'(1(4(2(2(0(0(4(1(2(2(2(0(0(2(4(0(2(z0)))))))))))))))))), 1'(4(2(2(0(0(4(1(2(2(2(0(0(2(4(0(2(z0))))))))))))))))), 4'(2(2(0(0(4(1(2(2(2(0(0(2(4(0(2(z0)))))))))))))))), 2'(2(0(0(4(1(2(2(2(0(0(2(4(0(2(z0))))))))))))))), 2'(0(0(4(1(2(2(2(0(0(2(4(0(2(z0)))))))))))))), 0'(0(4(1(2(2(2(0(0(2(4(0(2(z0))))))))))))), 0'(4(1(2(2(2(0(0(2(4(0(2(z0)))))))))))), 4'(1(2(2(2(0(0(2(4(0(2(z0))))))))))), 1'(2(2(2(0(0(2(4(0(2(z0)))))))))), 2'(2(2(0(0(2(4(0(2(z0))))))))), 2'(2(0(0(2(4(0(2(z0)))))))), 2'(0(0(2(4(0(2(z0))))))), 0'(0(2(4(0(2(z0)))))), 0'(2(4(0(2(z0))))), 2'(4(0(2(z0)))), 4'(0(2(z0))), 0'(2(z0)), 2'(z0))
   4'(c_1(c_1(c_4(c_4(c_0(c_1(c_2(c_1(c_0(c_0(c_4(c_4(c_2(c_3(c_3(c_3(c_1(c_3(c_2(z0)))))))))))))))))))) -> c110(3'(1(0(4(2(4(4(1(2(4(3(3(2(2(1(4(3(3(4(2(z0)))))))))))))))))))), 1'(0(4(2(4(4(1(2(4(3(3(2(2(1(4(3(3(4(2(z0))))))))))))))))))), 0'(4(2(4(4(1(2(4(3(3(2(2(1(4(3(3(4(2(z0)))))))))))))))))), 4'(2(4(4(1(2(4(3(3(2(2(1(4(3(3(4(2(z0))))))))))))))))), 2'(4(4(1(2(4(3(3(2(2(1(4(3(3(4(2(z0)))))))))))))))), 4'(4(1(2(4(3(3(2(2(1(4(3(3(4(2(z0))))))))))))))), 4'(1(2(4(3(3(2(2(1(4(3(3(4(2(z0)))))))))))))), 1'(2(4(3(3(2(2(1(4(3(3(4(2(z0))))))))))))), 2'(4(3(3(2(2(1(4(3(3(4(2(z0)))))))))))), 4'(3(3(2(2(1(4(3(3(4(2(z0))))))))))), 3'(3(2(2(1(4(3(3(4(2(z0)))))))))), 3'(2(2(1(4(3(3(4(2(z0))))))))), 2'(2(1(4(3(3(4(2(z0)))))))), 2'(1(4(3(3(4(2(z0))))))), 1'(4(3(3(4(2(z0)))))), 4'(3(3(4(2(z0))))), 3'(3(4(2(z0)))), 3'(4(2(z0))), 4'(2(z0)), 2'(z0))
   4'(c_3(c_1(c_0(c_2(c_1(c_0(c_4(c_4(c_0(c_3(c_1(c_0(c_0(c_3(c_0(c_4(c_3(c_1(c_2(z0)))))))))))))))))))) -> c111(0'(1(3(4(0(2(0(0(3(0(0(3(1(2(4(3(1(1(3(2(z0)))))))))))))))))))), 1'(3(4(0(2(0(0(3(0(0(3(1(2(4(3(1(1(3(2(z0))))))))))))))))))), 3'(4(0(2(0(0(3(0(0(3(1(2(4(3(1(1(3(2(z0)))))))))))))))))), 4'(0(2(0(0(3(0(0(3(1(2(4(3(1(1(3(2(z0))))))))))))))))), 0'(2(0(0(3(0(0(3(1(2(4(3(1(1(3(2(z0)))))))))))))))), 2'(0(0(3(0(0(3(1(2(4(3(1(1(3(2(z0))))))))))))))), 0'(0(3(0(0(3(1(2(4(3(1(1(3(2(z0)))))))))))))), 0'(3(0(0(3(1(2(4(3(1(1(3(2(z0))))))))))))), 3'(0(0(3(1(2(4(3(1(1(3(2(z0)))))))))))), 0'(0(3(1(2(4(3(1(1(3(2(z0))))))))))), 0'(3(1(2(4(3(1(1(3(2(z0)))))))))), 3'(1(2(4(3(1(1(3(2(z0))))))))), 1'(2(4(3(1(1(3(2(z0)))))))), 2'(4(3(1(1(3(2(z0))))))), 4'(3(1(1(3(2(z0)))))), 3'(1(1(3(2(z0))))), 1'(1(3(2(z0)))), 1'(3(2(z0))), 3'(2(z0)), 2'(z0))
   4'(c_0(c_1(c_4(c_1(c_2(c_1(c_3(c_4(c_2(c_4(c_3(c_3(c_2(c_1(c_1(c_4(c_4(c_2(c_2(z0)))))))))))))))))))) -> c112(4'(2(3(4(2(4(1(1(1(2(0(1(1(4(0(0(1(3(2(1(z0)))))))))))))))))))), 2'(3(4(2(4(1(1(1(2(0(1(1(4(0(0(1(3(2(1(z0))))))))))))))))))), 3'(4(2(4(1(1(1(2(0(1(1(4(0(0(1(3(2(1(z0)))))))))))))))))), 4'(2(4(1(1(1(2(0(1(1(4(0(0(1(3(2(1(z0))))))))))))))))), 2'(4(1(1(1(2(0(1(1(4(0(0(1(3(2(1(z0)))))))))))))))), 4'(1(1(1(2(0(1(1(4(0(0(1(3(2(1(z0))))))))))))))), 1'(1(1(2(0(1(1(4(0(0(1(3(2(1(z0)))))))))))))), 1'(1(2(0(1(1(4(0(0(1(3(2(1(z0))))))))))))), 1'(2(0(1(1(4(0(0(1(3(2(1(z0)))))))))))), 2'(0(1(1(4(0(0(1(3(2(1(z0))))))))))), 0'(1(1(4(0(0(1(3(2(1(z0)))))))))), 1'(1(4(0(0(1(3(2(1(z0))))))))), 1'(4(0(0(1(3(2(1(z0)))))))), 4'(0(0(1(3(2(1(z0))))))), 0'(0(1(3(2(1(z0)))))), 0'(1(3(2(1(z0))))), 1'(3(2(1(z0)))), 3'(2(1(z0))), 2'(1(z0)), 1'(z0))
   4'(c_3(c_1(c_1(c_2(c_2(c_1(c_3(c_1(c_0(c_0(c_1(c_1(c_0(c_4(c_2(c_3(c_3(c_0(c_2(z0)))))))))))))))))))) -> c113(0'(3(3(1(4(1(1(2(1(2(1(3(1(3(1(4(2(2(4(2(z0)))))))))))))))))))), 3'(3(1(4(1(1(2(1(2(1(3(1(3(1(4(2(2(4(2(z0))))))))))))))))))), 3'(1(4(1(1(2(1(2(1(3(1(3(1(4(2(2(4(2(z0)))))))))))))))))), 1'(4(1(1(2(1(2(1(3(1(3(1(4(2(2(4(2(z0))))))))))))))))), 4'(1(1(2(1(2(1(3(1(3(1(4(2(2(4(2(z0)))))))))))))))), 1'(1(2(1(2(1(3(1(3(1(4(2(2(4(2(z0))))))))))))))), 1'(2(1(2(1(3(1(3(1(4(2(2(4(2(z0)))))))))))))), 2'(1(2(1(3(1(3(1(4(2(2(4(2(z0))))))))))))), 1'(2(1(3(1(3(1(4(2(2(4(2(z0)))))))))))), 2'(1(3(1(3(1(4(2(2(4(2(z0))))))))))), 1'(3(1(3(1(4(2(2(4(2(z0)))))))))), 3'(1(3(1(4(2(2(4(2(z0))))))))), 1'(3(1(4(2(2(4(2(z0)))))))), 3'(1(4(2(2(4(2(z0))))))), 1'(4(2(2(4(2(z0)))))), 4'(2(2(4(2(z0))))), 2'(2(4(2(z0)))), 2'(4(2(z0))), 4'(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, c28_20, c29_20, c30_20, c31_20, c33_20, c34_20, c35_20, c36_20, c37_20, c38_20, c39_20, c40_20, c41_20, c42_20, c43_20, c44_20, c45_20, c46_20, c47_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_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_20, c94_20, c95_20, c96_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