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


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


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# AProVE Commit ID: 794c25de1cacf0d048858bcd21c9a779e1221865 marcel 20200619 unpublished dirty


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

(0) DCpxTrs
(1) DerivationalComplexityToRuntimeComplexityProof [BOTH BOUNDS(ID, ID), 0 ms]
(2) CpxRelTRS
(3) SInnermostTerminationProof [BOTH CONCRETE BOUNDS(ID, ID), 65 ms]
(4) CpxRelTRS
(5) RenamingProof [BOTH BOUNDS(ID, ID), 0 ms]
(6) CpxRelTRS
    (7) TypeInferenceProof [BOTH BOUNDS(ID, ID), 27 ms]
    (8) typed CpxTrs
    (9) OrderProof [LOWER BOUND(ID), 0 ms]
    (10) typed CpxTrs
(11) RelTrsToDecreasingLoopProblemProof [LOWER BOUND(ID), 5 ms]
(12) TRS for Loop Detection
(13) RelTrsToTrsProof [UPPER BOUND(ID), 0 ms]
(14) CpxTRS
(15) NonCtorToCtorProof [UPPER BOUND(ID), 0 ms]
(16) CpxRelTRS
    (17) RcToIrcProof [BOTH BOUNDS(ID, ID), 2154 ms]
    (18) CpxRelTRS
    (19) RelTrsToWeightedTrsProof [BOTH BOUNDS(ID, ID), 0 ms]
    (20) CpxWeightedTrs
        (21) CpxWeightedTrsRenamingProof [BOTH BOUNDS(ID, ID), 24 ms]
        (22) CpxWeightedTrs
        (23) TypeInferenceProof [BOTH BOUNDS(ID, ID), 5 ms]
        (24) CpxTypedWeightedTrs
        (25) CompletionProof [UPPER BOUND(ID), 0 ms]
        (26) CpxTypedWeightedCompleteTrs
            (27) NarrowingProof [BOTH BOUNDS(ID, ID), 3240 ms]
            (28) CpxTypedWeightedCompleteTrs
            (29) CpxTypedWeightedTrsToRntsProof [UPPER BOUND(ID), 33 ms]
            (30) CpxRNTS
            (31) SimplificationProof [BOTH BOUNDS(ID, ID), 6 ms]
            (32) CpxRNTS
        (33) CompletionProof [UPPER BOUND(ID), 0 ms]
        (34) CpxTypedWeightedCompleteTrs
            (35) CpxTypedWeightedTrsToRntsProof [UPPER BOUND(ID), 10 ms]
            (36) CpxRNTS
    (37) CpxTrsToCdtProof [UPPER BOUND(ID), 1695 ms]
    (38) CdtProblem
        (39) CdtLeafRemovalProof [BOTH BOUNDS(ID, ID), 11 ms]
        (40) CdtProblem
        (41) CdtGraphSplitRhsProof [BOTH BOUNDS(ID, ID), 15 ms]
        (42) CdtProblem
        (43) CdtLeafRemovalProof [ComplexityIfPolyImplication, 0 ms]
        (44) CdtProblem
        (45) CdtUsableRulesProof [BOTH BOUNDS(ID, ID), 13.8 s]
        (46) CdtProblem
        (47) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 4155 ms]
        (48) CdtProblem
        (49) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 4239 ms]
        (50) CdtProblem
        (51) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 4232 ms]
        (52) CdtProblem
        (53) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 4255 ms]
        (54) CdtProblem


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

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


The TRS R consists of the following rules:

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

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

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

   encArg(cons_0(x_1)) -> 0(encArg(x_1))
   encArg(cons_1(x_1)) -> 1(encArg(x_1))
   encArg(cons_2(x_1)) -> 2(encArg(x_1))
   encArg(cons_3(x_1)) -> 3(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))


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

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


The TRS R consists of the following rules:

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

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

   encArg(cons_0(x_1)) -> 0(encArg(x_1))
   encArg(cons_1(x_1)) -> 1(encArg(x_1))
   encArg(cons_2(x_1)) -> 2(encArg(x_1))
   encArg(cons_3(x_1)) -> 3(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))

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

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

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


The TRS R consists of the following rules:

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

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

   encArg(cons_0(x_1)) -> 0(encArg(x_1))
   encArg(cons_1(x_1)) -> 1(encArg(x_1))
   encArg(cons_2(x_1)) -> 2(encArg(x_1))
   encArg(cons_3(x_1)) -> 3(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))

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

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

(6)
Obligation:
The Runtime Complexity (full) of the given CpxRelTRS could be proven to be BOUNDS(1, INF).


The TRS R consists of the following rules:

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

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

   encArg(cons_0(x_1)) -> 0(encArg(x_1))
   encArg(cons_1(x_1)) -> 1(encArg(x_1))
   encArg(cons_2(x_1)) -> 2(encArg(x_1))
   encArg(cons_3(x_1)) -> 3(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))

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

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

(8)
Obligation:
TRS:
Rules:
0(0(0(0(1(0(2(3(1(3(0(2(0(1(0(2(1(2(3(3(x1)))))))))))))))))))) -> 0(0(0(2(2(1(3(3(3(0(3(3(1(3(1(1(1(1(3(3(x1))))))))))))))))))))
0(0(0(1(1(0(3(3(3(3(0(1(0(2(2(1(3(2(0(0(x1)))))))))))))))))))) -> 0(0(1(3(3(0(1(3(3(0(1(2(3(2(2(0(3(2(3(3(x1))))))))))))))))))))
0(0(0(3(1(3(2(1(3(3(3(2(2(3(1(3(0(3(2(3(x1)))))))))))))))))))) -> 0(3(3(2(0(1(2(3(0(0(2(2(1(3(3(3(2(3(3(3(x1))))))))))))))))))))
0(0(1(1(0(1(0(2(3(1(3(3(3(1(2(2(0(0(2(3(x1)))))))))))))))))))) -> 0(0(3(0(2(1(3(3(1(3(2(3(3(3(2(0(0(1(0(2(x1))))))))))))))))))))
0(0(1(2(2(1(3(3(2(2(1(2(0(2(3(0(0(1(3(3(x1)))))))))))))))))))) -> 3(0(1(2(1(2(0(2(2(1(3(2(2(3(3(3(3(3(3(3(x1))))))))))))))))))))
0(0(1(2(3(0(1(0(3(0(3(1(1(1(0(1(3(3(2(3(x1)))))))))))))))))))) -> 3(0(3(1(1(0(2(3(0(3(3(1(3(1(0(3(0(1(2(3(x1))))))))))))))))))))
0(0(2(0(2(3(0(0(1(1(3(1(3(0(0(3(0(3(0(1(x1)))))))))))))))))))) -> 1(3(0(1(3(0(3(0(3(0(1(0(2(3(0(2(0(0(0(2(x1))))))))))))))))))))
0(0(3(0(1(3(1(2(1(1(3(0(0(1(3(0(1(2(1(3(x1)))))))))))))))))))) -> 2(3(1(2(3(2(3(3(0(2(3(3(0(0(0(2(1(2(3(3(x1))))))))))))))))))))
0(0(3(1(0(2(0(3(1(0(0(3(0(0(0(3(2(0(2(3(x1)))))))))))))))))))) -> 0(0(1(0(2(1(3(0(1(0(0(3(1(0(3(3(2(2(3(3(x1))))))))))))))))))))
0(0(3(2(0(3(3(2(0(2(1(3(3(3(2(2(3(1(2(3(x1)))))))))))))))))))) -> 3(1(3(0(1(0(0(0(1(1(3(0(2(2(1(2(3(1(0(3(x1))))))))))))))))))))
0(0(3(2(1(2(0(2(3(2(1(0(1(0(3(3(0(0(3(1(x1)))))))))))))))))))) -> 3(2(3(3(0(3(1(1(0(1(1(1(1(1(3(0(3(3(0(1(x1))))))))))))))))))))
0(1(0(1(1(3(3(0(0(1(3(1(3(0(2(3(0(3(2(3(x1)))))))))))))))))))) -> 1(2(3(3(0(1(3(3(0(1(0(3(3(3(0(2(0(2(1(3(x1))))))))))))))))))))
0(1(1(1(0(0(0(0(0(0(3(0(1(0(1(0(2(0(3(1(x1)))))))))))))))))))) -> 1(0(2(1(3(0(1(0(2(3(0(0(3(3(0(1(0(0(1(0(x1))))))))))))))))))))
0(1(3(1(0(1(3(3(1(3(1(2(2(0(0(1(3(3(0(0(x1)))))))))))))))))))) -> 1(1(1(3(1(3(0(2(3(2(3(0(2(3(3(2(3(3(0(3(x1))))))))))))))))))))
0(1(3(1(0(2(0(2(2(2(1(2(0(1(3(3(0(3(0(3(x1)))))))))))))))))))) -> 3(2(1(0(3(2(3(0(0(0(1(3(0(0(3(3(3(1(3(2(x1))))))))))))))))))))
0(1(3(1(2(1(3(1(3(3(1(2(2(1(0(3(2(1(1(1(x1)))))))))))))))))))) -> 0(0(2(0(0(3(3(1(1(1(1(3(0(1(1(0(0(2(1(2(x1))))))))))))))))))))
0(1(3(3(0(0(2(2(3(2(0(0(0(1(2(0(3(2(1(3(x1)))))))))))))))))))) -> 0(0(3(0(0(0(2(1(0(0(1(2(0(0(3(3(3(3(1(0(x1))))))))))))))))))))
0(2(0(3(1(1(3(2(3(3(0(2(2(0(2(3(0(0(2(3(x1)))))))))))))))))))) -> 0(0(3(3(2(3(3(3(0(1(1(1(2(2(3(1(3(1(1(3(x1))))))))))))))))))))
0(2(1(3(0(0(0(3(2(0(1(1(0(0(0(2(2(3(1(3(x1)))))))))))))))))))) -> 3(3(0(3(0(3(3(0(1(1(0(1(0(2(0(2(3(1(2(3(x1))))))))))))))))))))
0(2(1(3(2(0(2(1(0(1(0(3(0(1(1(1(3(3(3(0(x1)))))))))))))))))))) -> 3(0(2(1(3(3(3(3(1(3(2(2(1(0(0(0(3(0(1(1(x1))))))))))))))))))))
0(2(2(1(1(2(0(1(1(0(0(1(1(2(0(1(0(3(3(3(x1)))))))))))))))))))) -> 3(1(0(1(3(1(0(3(0(3(1(3(2(1(0(1(1(3(1(3(x1))))))))))))))))))))
0(2(2(2(1(2(2(1(1(1(1(2(3(2(0(3(3(3(3(0(x1)))))))))))))))))))) -> 3(1(2(3(3(3(1(0(3(3(2(0(2(2(3(1(1(1(3(1(x1))))))))))))))))))))
0(2(2(2(1(3(2(1(2(1(3(0(2(3(2(1(0(0(1(3(x1)))))))))))))))))))) -> 0(1(0(2(0(0(0(0(0(3(0(0(0(2(3(2(2(3(3(0(x1))))))))))))))))))))
0(2(2(3(3(0(0(3(3(1(3(0(3(2(2(1(1(2(3(3(x1)))))))))))))))))))) -> 1(3(3(3(0(1(0(0(3(0(1(3(3(3(3(0(2(3(2(3(x1))))))))))))))))))))
0(3(0(2(0(1(3(0(1(2(3(2(1(1(0(0(3(3(2(3(x1)))))))))))))))))))) -> 0(3(3(2(2(3(2(3(2(0(0(2(3(3(3(3(3(0(1(0(x1))))))))))))))))))))
0(3(1(0(0(3(1(2(2(1(0(0(0(3(0(1(2(0(3(3(x1)))))))))))))))))))) -> 0(2(3(2(3(3(1(0(0(0(3(1(1(0(2(0(0(0(3(3(x1))))))))))))))))))))
0(3(2(2(2(3(2(2(3(1(3(0(3(2(3(0(3(3(1(3(x1)))))))))))))))))))) -> 3(0(3(3(3(3(3(2(3(3(3(1(0(0(3(2(0(2(2(1(x1))))))))))))))))))))
1(0(0(0(3(3(3(1(1(3(2(0(3(1(2(0(1(1(2(3(x1)))))))))))))))))))) -> 3(1(3(1(3(3(3(2(2(0(0(3(0(1(3(0(0(2(0(0(x1))))))))))))))))))))
1(0(2(3(0(2(1(2(0(3(0(1(3(3(0(3(0(1(2(2(x1)))))))))))))))))))) -> 0(2(2(0(1(1(3(0(1(1(3(3(0(3(3(0(3(1(3(1(x1))))))))))))))))))))
1(0(3(0(0(1(1(1(3(3(0(1(0(0(3(1(1(3(2(3(x1)))))))))))))))))))) -> 3(2(3(3(3(3(3(0(1(3(0(3(1(2(0(3(3(3(1(2(x1))))))))))))))))))))
1(0(3(2(0(1(2(3(0(3(3(0(2(3(3(2(1(1(1(3(x1)))))))))))))))))))) -> 2(2(1(3(3(3(3(0(3(0(3(3(3(0(0(3(3(0(0(0(x1))))))))))))))))))))
1(1(0(1(0(1(2(0(3(0(2(2(3(3(0(2(2(3(1(3(x1)))))))))))))))))))) -> 1(1(1(0(2(3(3(0(3(1(3(0(2(1(1(0(3(2(3(3(x1))))))))))))))))))))
1(1(0(1(1(3(2(0(3(0(2(3(0(0(0(0(2(0(2(3(x1)))))))))))))))))))) -> 1(2(3(0(3(0(2(1(0(2(0(3(1(3(0(3(3(2(2(3(x1))))))))))))))))))))
1(1(0(2(0(1(3(3(1(1(1(0(1(3(3(3(1(0(1(2(x1)))))))))))))))))))) -> 1(0(2(1(2(1(2(3(2(0(3(3(3(3(3(0(0(2(0(0(x1))))))))))))))))))))
1(1(1(3(0(1(0(1(2(2(1(0(2(2(2(3(1(0(3(3(x1)))))))))))))))))))) -> 2(2(0(0(3(3(1(2(1(3(3(0(2(3(2(2(1(2(3(3(x1))))))))))))))))))))
1(1(1(3(2(3(3(3(1(1(0(1(0(0(0(0(0(0(2(3(x1)))))))))))))))))))) -> 1(3(0(0(0(3(1(0(1(1(3(1(0(0(3(1(2(0(3(3(x1))))))))))))))))))))
1(1(3(2(1(1(0(0(2(2(3(1(1(1(0(3(3(0(3(3(x1)))))))))))))))))))) -> 0(2(2(3(3(0(2(0(0(0(1(0(2(3(3(0(3(0(1(3(x1))))))))))))))))))))
1(1(3(3(0(1(3(0(2(1(2(0(2(1(1(1(0(2(2(3(x1)))))))))))))))))))) -> 1(3(3(3(2(1(3(3(0(2(0(3(1(2(0(3(0(3(2(0(x1))))))))))))))))))))
1(2(1(2(2(3(0(3(0(1(2(3(3(3(0(0(3(1(1(3(x1)))))))))))))))))))) -> 2(3(3(0(1(0(3(2(3(3(1(0(0(0(1(0(0(2(3(3(x1))))))))))))))))))))
1(2(3(0(0(3(0(2(0(1(0(1(1(1(3(3(2(1(2(3(x1)))))))))))))))))))) -> 2(3(3(3(0(1(1(3(3(3(0(1(2(3(0(0(2(2(0(0(x1))))))))))))))))))))
1(3(1(2(0(3(0(0(2(1(0(3(0(3(2(1(3(3(2(3(x1)))))))))))))))))))) -> 0(3(1(1(3(0(1(1(2(3(0(1(0(0(1(0(3(3(0(0(x1))))))))))))))))))))
1(3(1(3(1(3(3(1(3(2(3(0(3(2(2(3(0(3(0(3(x1)))))))))))))))))))) -> 0(3(2(3(3(3(0(0(0(1(0(3(1(2(3(2(3(0(0(3(x1))))))))))))))))))))
2(0(0(2(1(2(1(1(3(0(2(3(2(1(3(3(1(3(2(3(x1)))))))))))))))))))) -> 2(2(3(1(1(0(1(0(1(1(0(1(0(3(3(1(3(3(3(1(x1))))))))))))))))))))
2(0(0(3(3(1(2(3(2(2(3(3(2(1(1(2(0(1(3(3(x1)))))))))))))))))))) -> 2(2(3(3(0(1(0(3(0(0(0(1(1(3(1(0(2(2(0(3(x1))))))))))))))))))))
2(0(1(0(1(3(2(3(0(0(2(1(0(2(0(3(1(0(2(3(x1)))))))))))))))))))) -> 3(3(3(0(3(3(2(3(1(3(1(3(3(0(3(3(0(2(1(0(x1))))))))))))))))))))
2(0(1(0(2(2(0(3(0(2(2(3(3(2(1(3(0(2(3(1(x1)))))))))))))))))))) -> 2(3(3(0(3(0(0(2(3(3(1(1(3(3(0(1(2(3(2(0(x1))))))))))))))))))))
2(0(2(0(0(3(1(0(0(2(3(3(1(0(3(2(1(0(0(3(x1)))))))))))))))))))) -> 1(3(0(1(2(0(2(2(3(1(3(3(3(3(3(3(0(3(0(3(x1))))))))))))))))))))
2(0(3(1(0(1(3(1(1(3(2(2(3(2(2(0(1(3(1(3(x1)))))))))))))))))))) -> 3(0(0(0(2(0(1(0(1(0(0(1(0(0(3(1(0(1(3(3(x1))))))))))))))))))))
2(0(3(1(3(0(1(2(3(2(1(0(3(0(0(3(3(0(0(0(x1)))))))))))))))))))) -> 2(3(1(3(1(3(0(1(3(0(0(1(3(3(3(0(0(1(0(2(x1))))))))))))))))))))
2(0(3(1(3(3(3(1(2(3(0(1(2(2(3(2(1(0(3(1(x1)))))))))))))))))))) -> 1(0(3(3(1(3(0(1(2(3(0(1(0(3(3(0(3(2(1(1(x1))))))))))))))))))))
2(1(0(1(1(3(1(3(0(1(3(2(0(3(1(0(0(0(1(3(x1)))))))))))))))))))) -> 0(0(1(2(1(3(3(3(0(2(0(2(1(3(3(0(3(2(1(3(x1))))))))))))))))))))
2(1(0(1(3(3(1(0(2(3(0(0(0(2(3(1(0(0(3(3(x1)))))))))))))))))))) -> 2(0(1(3(2(1(3(1(3(1(1(3(3(1(3(3(0(0(3(3(x1))))))))))))))))))))
2(1(0(3(0(0(2(2(3(1(0(0(0(0(3(1(3(0(3(3(x1)))))))))))))))))))) -> 1(2(2(0(0(2(3(3(3(0(3(0(1(3(1(3(2(3(3(3(x1))))))))))))))))))))
2(1(0(3(0(2(0(2(1(3(3(3(1(1(1(0(0(3(3(2(x1)))))))))))))))))))) -> 2(2(1(3(0(0(1(3(0(3(3(0(3(3(1(0(1(1(0(1(x1))))))))))))))))))))
2(1(1(0(2(3(0(2(3(3(3(2(1(2(3(1(0(2(3(2(x1)))))))))))))))))))) -> 1(3(3(3(0(1(2(1(1(3(3(0(3(0(2(2(2(2(1(1(x1))))))))))))))))))))
2(1(1(0(3(0(1(2(3(3(1(1(1(3(0(0(3(1(3(0(x1)))))))))))))))))))) -> 2(2(0(3(2(0(0(1(2(1(1(3(1(3(3(0(3(3(3(0(x1))))))))))))))))))))
2(1(1(1(0(1(3(1(0(3(2(3(0(0(0(3(1(1(0(3(x1)))))))))))))))))))) -> 1(1(1(0(1(1(2(0(2(1(0(0(3(3(0(2(0(3(0(3(x1))))))))))))))))))))
2(1(1(2(3(2(1(2(3(2(0(0(2(3(3(0(2(1(3(3(x1)))))))))))))))))))) -> 0(1(0(0(3(0(1(0(3(0(1(1(1(3(3(3(0(0(3(3(x1))))))))))))))))))))
2(1(1(3(3(1(0(2(2(2(2(2(3(0(1(0(2(2(3(3(x1)))))))))))))))))))) -> 0(3(0(3(1(3(0(3(3(1(3(3(0(3(1(3(3(0(3(1(x1))))))))))))))))))))
2(1(3(1(2(2(0(0(2(2(2(2(3(0(3(0(1(3(1(3(x1)))))))))))))))))))) -> 3(0(2(0(3(3(2(2(3(3(0(2(3(2(1(0(0(2(1(3(x1))))))))))))))))))))
2(1(3(1(3(3(1(1(1(1(1(1(0(2(3(2(3(0(0(3(x1)))))))))))))))))))) -> 1(3(0(0(2(0(0(2(0(3(2(2(0(1(3(3(3(0(0(3(x1))))))))))))))))))))
2(1(3(1(3(3(1(2(2(2(0(1(3(0(3(3(2(2(0(3(x1)))))))))))))))))))) -> 2(2(0(1(3(3(1(2(0(0(0(3(3(0(1(3(1(3(0(3(x1))))))))))))))))))))
2(1(3(3(1(1(3(2(1(3(3(1(1(0(2(2(3(0(0(0(x1)))))))))))))))))))) -> 2(0(0(0(1(0(0(3(1(1(1(3(0(0(3(0(1(3(3(2(x1))))))))))))))))))))
2(2(0(1(3(3(3(3(1(1(0(3(1(2(0(0(3(1(2(3(x1)))))))))))))))))))) -> 0(3(3(0(3(3(2(3(0(1(0(1(3(3(3(2(3(2(1(3(x1))))))))))))))))))))
2(2(1(0(1(0(2(3(1(2(1(2(2(1(3(3(0(3(1(3(x1)))))))))))))))))))) -> 2(2(0(0(3(3(3(1(1(0(0(3(3(2(1(1(0(2(2(3(x1))))))))))))))))))))
2(2(3(1(1(1(1(3(1(3(1(1(0(0(0(0(3(1(2(3(x1)))))))))))))))))))) -> 3(2(0(0(0(1(3(1(3(3(1(3(0(0(2(3(0(1(1(1(x1))))))))))))))))))))
2(2(3(2(0(0(3(0(3(3(2(2(2(0(2(3(3(3(3(2(x1)))))))))))))))))))) -> 1(0(3(1(2(3(3(2(3(3(3(3(0(1(3(1(0(3(0(3(x1))))))))))))))))))))
2(2(3(2(2(2(3(3(0(0(0(1(0(3(0(3(0(1(0(1(x1)))))))))))))))))))) -> 2(2(2(3(2(1(3(0(3(3(3(0(2(3(3(1(2(0(3(3(x1))))))))))))))))))))
2(2(3(3(0(2(2(0(1(3(1(3(3(0(3(2(2(2(1(2(x1)))))))))))))))))))) -> 2(0(0(0(3(0(3(1(3(2(0(0(1(1(3(0(0(3(2(3(x1))))))))))))))))))))
2(2(3(3(0(2(3(0(0(1(1(0(0(0(2(2(2(3(1(2(x1)))))))))))))))))))) -> 0(3(0(3(2(0(1(0(1(2(0(3(3(0(2(2(3(0(3(2(x1))))))))))))))))))))
2(2(3(3(2(2(2(2(3(0(2(3(0(2(0(1(1(3(3(1(x1)))))))))))))))))))) -> 2(2(2(0(0(1(0(0(1(3(3(3(3(3(2(1(0(0(0(3(x1))))))))))))))))))))
2(3(0(3(3(2(3(0(1(3(2(2(3(3(0(2(2(0(1(2(x1)))))))))))))))))))) -> 2(0(1(3(0(2(2(3(2(0(3(3(2(0(3(1(0(3(0(2(x1))))))))))))))))))))
2(3(1(2(0(3(2(0(2(3(3(0(2(0(0(1(0(1(0(3(x1)))))))))))))))))))) -> 0(3(1(3(0(3(3(0(1(0(0(3(2(0(0(0(3(3(2(3(x1))))))))))))))))))))
2(3(1(3(3(3(2(0(1(2(0(0(2(3(3(0(0(1(1(2(x1)))))))))))))))))))) -> 0(2(0(2(1(3(3(0(2(1(0(3(2(3(0(2(2(1(3(3(x1))))))))))))))))))))
2(3(2(2(0(3(3(1(1(1(3(0(0(1(0(0(2(3(0(3(x1)))))))))))))))))))) -> 2(3(1(1(0(3(2(2(1(3(0(3(3(2(0(0(1(1(3(3(x1))))))))))))))))))))
2(3(2(2(2(3(0(0(3(2(1(0(3(0(2(2(0(0(1(1(x1)))))))))))))))))))) -> 0(3(1(3(0(1(2(0(1(2(0(3(1(3(2(1(0(3(0(0(x1))))))))))))))))))))
2(3(2(3(0(3(0(3(3(3(0(1(1(1(0(3(1(2(1(1(x1)))))))))))))))))))) -> 0(3(1(3(1(3(1(3(0(1(0(0(3(3(3(2(0(2(3(2(x1))))))))))))))))))))
2(3(2(3(1(0(0(1(0(2(0(0(1(3(3(1(0(0(0(0(x1)))))))))))))))))))) -> 1(2(0(3(3(3(0(2(2(0(1(0(0(1(2(2(1(3(3(0(x1))))))))))))))))))))
3(0(0(1(1(1(3(3(3(0(2(2(1(3(1(2(3(1(1(0(x1)))))))))))))))))))) -> 1(3(0(2(1(3(3(2(0(2(3(1(3(0(3(0(0(2(1(0(x1))))))))))))))))))))
3(0(1(0(1(2(3(2(1(1(0(1(1(3(0(3(3(2(1(3(x1)))))))))))))))))))) -> 0(3(0(0(2(3(0(2(2(1(0(1(2(0(1(3(1(3(1(3(x1))))))))))))))))))))
3(0(2(0(2(0(1(1(3(0(0(3(0(0(2(0(0(3(2(3(x1)))))))))))))))))))) -> 0(3(2(2(0(3(3(3(1(1(0(0(3(0(2(2(1(1(3(3(x1))))))))))))))))))))
3(0(2(1(2(1(3(1(3(0(3(1(3(0(2(0(2(0(3(2(x1)))))))))))))))))))) -> 2(2(3(1(3(1(3(3(1(3(3(0(0(2(1(2(3(3(3(2(x1))))))))))))))))))))
3(0(2(2(1(1(0(1(1(1(3(0(3(1(3(2(1(3(3(0(x1)))))))))))))))))))) -> 0(0(0(0(1(3(3(1(1(3(1(3(0(1(0(3(3(1(1(3(x1))))))))))))))))))))
3(0(3(2(1(3(0(3(3(0(3(3(0(3(0(3(1(0(0(1(x1)))))))))))))))))))) -> 3(3(3(3(2(3(0(1(0(0(0(3(3(1(3(3(3(1(1(2(x1))))))))))))))))))))
3(0(3(2(2(2(3(1(3(0(2(1(0(1(0(2(2(3(3(1(x1)))))))))))))))))))) -> 2(3(0(0(3(1(2(0(3(3(0(0(0(3(3(3(1(0(2(2(x1))))))))))))))))))))
3(0(3(3(3(3(1(3(2(0(1(0(1(0(3(3(0(0(1(1(x1)))))))))))))))))))) -> 3(3(2(3(3(3(2(3(3(0(1(1(0(3(3(3(0(3(3(0(x1))))))))))))))))))))
3(1(0(1(1(1(3(1(0(0(0(2(1(0(1(2(0(0(0(3(x1)))))))))))))))))))) -> 0(3(0(2(2(0(1(0(1(0(0(2(2(3(2(3(0(1(0(3(x1))))))))))))))))))))
3(1(1(3(2(3(3(3(1(0(1(2(0(3(0(0(0(1(2(3(x1)))))))))))))))))))) -> 3(3(3(0(3(3(1(0(2(3(0(0(2(2(3(3(0(3(2(0(x1))))))))))))))))))))
3(1(2(3(2(2(2(3(3(0(1(3(0(1(1(1(0(0(0(3(x1)))))))))))))))))))) -> 1(2(1(3(1(3(3(3(3(2(1(1(2(3(0(0(3(3(0(0(x1))))))))))))))))))))
3(1(3(0(2(1(1(2(0(3(2(2(1(3(1(1(2(2(3(3(x1)))))))))))))))))))) -> 1(0(0(1(3(0(1(1(2(0(3(3(3(3(0(0(3(0(3(2(x1))))))))))))))))))))
3(2(0(3(3(1(3(2(3(0(3(2(3(1(3(0(2(1(3(0(x1)))))))))))))))))))) -> 3(3(3(0(2(3(3(0(2(0(3(3(3(3(1(0(0(1(3(0(x1))))))))))))))))))))
3(2(3(0(1(3(2(2(0(1(1(3(3(3(1(2(3(1(1(0(x1)))))))))))))))))))) -> 0(0(0(0(3(2(3(1(1(1(0(1(0(0(3(3(0(2(3(1(x1))))))))))))))))))))
3(3(0(2(2(3(3(1(2(2(0(0(3(2(0(2(1(0(3(3(x1)))))))))))))))))))) -> 1(0(2(1(1(3(2(1(1(3(0(3(3(1(1(3(1(3(3(3(x1))))))))))))))))))))
3(3(0(2(3(3(0(1(3(0(0(1(2(2(2(2(3(3(2(1(x1)))))))))))))))))))) -> 3(1(3(3(1(0(3(0(3(0(2(3(3(1(0(1(0(3(1(0(x1))))))))))))))))))))
3(3(0(3(3(0(1(2(1(1(0(3(3(0(2(0(0(2(2(1(x1)))))))))))))))))))) -> 3(3(3(3(1(3(3(1(1(3(1(2(3(3(3(2(2(0(2(1(x1))))))))))))))))))))
3(3(1(0(1(3(0(0(3(1(2(1(0(0(3(0(1(0(3(1(x1)))))))))))))))))))) -> 1(3(3(3(3(2(3(2(2(0(3(1(0(0(1(3(0(3(3(1(x1))))))))))))))))))))
3(3(1(0(3(1(0(3(1(1(3(3(1(3(0(2(2(3(1(1(x1)))))))))))))))))))) -> 0(0(3(0(2(1(3(3(0(0(3(2(0(0(3(0(2(2(0(0(x1))))))))))))))))))))
3(3(2(1(3(1(3(0(2(0(3(1(2(1(3(2(1(3(2(3(x1)))))))))))))))))))) -> 2(3(3(2(2(2(0(3(1(2(3(3(3(3(0(1(3(2(0(3(x1))))))))))))))))))))
3(3(3(3(1(1(3(2(3(0(3(3(0(3(2(1(0(0(2(2(x1)))))))))))))))))))) -> 3(3(0(3(0(0(3(3(3(1(3(1(1(0(3(0(2(0(1(2(x1))))))))))))))))))))
encArg(cons_0(x_1)) -> 0(encArg(x_1))
encArg(cons_1(x_1)) -> 1(encArg(x_1))
encArg(cons_2(x_1)) -> 2(encArg(x_1))
encArg(cons_3(x_1)) -> 3(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))

Types:
0 :: 3:2:1:0:encArg:encode_0:encode_1:encode_2:encode_3 -> 3:2:1:0:encArg:encode_0:encode_1:encode_2:encode_3
1 :: 3:2:1:0:encArg:encode_0:encode_1:encode_2:encode_3 -> 3:2:1:0:encArg:encode_0:encode_1:encode_2:encode_3
2 :: 3:2:1:0:encArg:encode_0:encode_1:encode_2:encode_3 -> 3:2:1:0:encArg:encode_0:encode_1:encode_2:encode_3
3 :: 3:2:1:0:encArg:encode_0:encode_1:encode_2:encode_3 -> 3:2:1:0:encArg:encode_0:encode_1:encode_2:encode_3
encArg :: cons_0:cons_1:cons_2:cons_3 -> 3:2:1:0:encArg:encode_0:encode_1:encode_2:encode_3
cons_0 :: cons_0:cons_1:cons_2:cons_3 -> cons_0:cons_1:cons_2:cons_3
cons_1 :: cons_0:cons_1:cons_2:cons_3 -> cons_0:cons_1:cons_2:cons_3
cons_2 :: cons_0:cons_1:cons_2:cons_3 -> cons_0:cons_1:cons_2:cons_3
cons_3 :: cons_0:cons_1:cons_2:cons_3 -> cons_0:cons_1:cons_2:cons_3
encode_0 :: cons_0:cons_1:cons_2:cons_3 -> 3:2:1:0:encArg:encode_0:encode_1:encode_2:encode_3
encode_1 :: cons_0:cons_1:cons_2:cons_3 -> 3:2:1:0:encArg:encode_0:encode_1:encode_2:encode_3
encode_2 :: cons_0:cons_1:cons_2:cons_3 -> 3:2:1:0:encArg:encode_0:encode_1:encode_2:encode_3
encode_3 :: cons_0:cons_1:cons_2:cons_3 -> 3:2:1:0:encArg:encode_0:encode_1:encode_2:encode_3
hole_3:2:1:0:encArg:encode_0:encode_1:encode_2:encode_31_4 :: 3:2:1:0:encArg:encode_0:encode_1:encode_2:encode_3
hole_cons_0:cons_1:cons_2:cons_32_4 :: cons_0:cons_1:cons_2:cons_3
gen_cons_0:cons_1:cons_2:cons_33_4 :: Nat -> cons_0:cons_1:cons_2:cons_3

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

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

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

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

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

Types:
0 :: 3:2:1:0:encArg:encode_0:encode_1:encode_2:encode_3 -> 3:2:1:0:encArg:encode_0:encode_1:encode_2:encode_3
1 :: 3:2:1:0:encArg:encode_0:encode_1:encode_2:encode_3 -> 3:2:1:0:encArg:encode_0:encode_1:encode_2:encode_3
2 :: 3:2:1:0:encArg:encode_0:encode_1:encode_2:encode_3 -> 3:2:1:0:encArg:encode_0:encode_1:encode_2:encode_3
3 :: 3:2:1:0:encArg:encode_0:encode_1:encode_2:encode_3 -> 3:2:1:0:encArg:encode_0:encode_1:encode_2:encode_3
encArg :: cons_0:cons_1:cons_2:cons_3 -> 3:2:1:0:encArg:encode_0:encode_1:encode_2:encode_3
cons_0 :: cons_0:cons_1:cons_2:cons_3 -> cons_0:cons_1:cons_2:cons_3
cons_1 :: cons_0:cons_1:cons_2:cons_3 -> cons_0:cons_1:cons_2:cons_3
cons_2 :: cons_0:cons_1:cons_2:cons_3 -> cons_0:cons_1:cons_2:cons_3
cons_3 :: cons_0:cons_1:cons_2:cons_3 -> cons_0:cons_1:cons_2:cons_3
encode_0 :: cons_0:cons_1:cons_2:cons_3 -> 3:2:1:0:encArg:encode_0:encode_1:encode_2:encode_3
encode_1 :: cons_0:cons_1:cons_2:cons_3 -> 3:2:1:0:encArg:encode_0:encode_1:encode_2:encode_3
encode_2 :: cons_0:cons_1:cons_2:cons_3 -> 3:2:1:0:encArg:encode_0:encode_1:encode_2:encode_3
encode_3 :: cons_0:cons_1:cons_2:cons_3 -> 3:2:1:0:encArg:encode_0:encode_1:encode_2:encode_3
hole_3:2:1:0:encArg:encode_0:encode_1:encode_2:encode_31_4 :: 3:2:1:0:encArg:encode_0:encode_1:encode_2:encode_3
hole_cons_0:cons_1:cons_2:cons_32_4 :: cons_0:cons_1:cons_2:cons_3
gen_cons_0:cons_1:cons_2:cons_33_4 :: Nat -> cons_0:cons_1:cons_2:cons_3


Generator Equations:
gen_cons_0:cons_1:cons_2:cons_33_4(0) <=> hole_cons_0:cons_1:cons_2:cons_32_4
gen_cons_0:cons_1:cons_2:cons_33_4(+(x, 1)) <=> cons_0(gen_cons_0:cons_1:cons_2:cons_33_4(x))


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

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

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

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

(12)
Obligation:
Analyzing the following TRS for decreasing loops:

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


The TRS R consists of the following rules:

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

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

   encArg(cons_0(x_1)) -> 0(encArg(x_1))
   encArg(cons_1(x_1)) -> 1(encArg(x_1))
   encArg(cons_2(x_1)) -> 2(encArg(x_1))
   encArg(cons_3(x_1)) -> 3(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))

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

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

(14)
Obligation:
The Runtime Complexity (full) of the given CpxTRS could be proven to be BOUNDS(1, INF).


The TRS R consists of the following rules:

   0(0(0(0(1(0(2(3(1(3(0(2(0(1(0(2(1(2(3(3(x1)))))))))))))))))))) -> 0(0(0(2(2(1(3(3(3(0(3(3(1(3(1(1(1(1(3(3(x1))))))))))))))))))))
   0(0(0(1(1(0(3(3(3(3(0(1(0(2(2(1(3(2(0(0(x1)))))))))))))))))))) -> 0(0(1(3(3(0(1(3(3(0(1(2(3(2(2(0(3(2(3(3(x1))))))))))))))))))))
   0(0(0(3(1(3(2(1(3(3(3(2(2(3(1(3(0(3(2(3(x1)))))))))))))))))))) -> 0(3(3(2(0(1(2(3(0(0(2(2(1(3(3(3(2(3(3(3(x1))))))))))))))))))))
   0(0(1(1(0(1(0(2(3(1(3(3(3(1(2(2(0(0(2(3(x1)))))))))))))))))))) -> 0(0(3(0(2(1(3(3(1(3(2(3(3(3(2(0(0(1(0(2(x1))))))))))))))))))))
   0(0(1(2(2(1(3(3(2(2(1(2(0(2(3(0(0(1(3(3(x1)))))))))))))))))))) -> 3(0(1(2(1(2(0(2(2(1(3(2(2(3(3(3(3(3(3(3(x1))))))))))))))))))))
   0(0(1(2(3(0(1(0(3(0(3(1(1(1(0(1(3(3(2(3(x1)))))))))))))))))))) -> 3(0(3(1(1(0(2(3(0(3(3(1(3(1(0(3(0(1(2(3(x1))))))))))))))))))))
   0(0(2(0(2(3(0(0(1(1(3(1(3(0(0(3(0(3(0(1(x1)))))))))))))))))))) -> 1(3(0(1(3(0(3(0(3(0(1(0(2(3(0(2(0(0(0(2(x1))))))))))))))))))))
   0(0(3(0(1(3(1(2(1(1(3(0(0(1(3(0(1(2(1(3(x1)))))))))))))))))))) -> 2(3(1(2(3(2(3(3(0(2(3(3(0(0(0(2(1(2(3(3(x1))))))))))))))))))))
   0(0(3(1(0(2(0(3(1(0(0(3(0(0(0(3(2(0(2(3(x1)))))))))))))))))))) -> 0(0(1(0(2(1(3(0(1(0(0(3(1(0(3(3(2(2(3(3(x1))))))))))))))))))))
   0(0(3(2(0(3(3(2(0(2(1(3(3(3(2(2(3(1(2(3(x1)))))))))))))))))))) -> 3(1(3(0(1(0(0(0(1(1(3(0(2(2(1(2(3(1(0(3(x1))))))))))))))))))))
   0(0(3(2(1(2(0(2(3(2(1(0(1(0(3(3(0(0(3(1(x1)))))))))))))))))))) -> 3(2(3(3(0(3(1(1(0(1(1(1(1(1(3(0(3(3(0(1(x1))))))))))))))))))))
   0(1(0(1(1(3(3(0(0(1(3(1(3(0(2(3(0(3(2(3(x1)))))))))))))))))))) -> 1(2(3(3(0(1(3(3(0(1(0(3(3(3(0(2(0(2(1(3(x1))))))))))))))))))))
   0(1(1(1(0(0(0(0(0(0(3(0(1(0(1(0(2(0(3(1(x1)))))))))))))))))))) -> 1(0(2(1(3(0(1(0(2(3(0(0(3(3(0(1(0(0(1(0(x1))))))))))))))))))))
   0(1(3(1(0(1(3(3(1(3(1(2(2(0(0(1(3(3(0(0(x1)))))))))))))))))))) -> 1(1(1(3(1(3(0(2(3(2(3(0(2(3(3(2(3(3(0(3(x1))))))))))))))))))))
   0(1(3(1(0(2(0(2(2(2(1(2(0(1(3(3(0(3(0(3(x1)))))))))))))))))))) -> 3(2(1(0(3(2(3(0(0(0(1(3(0(0(3(3(3(1(3(2(x1))))))))))))))))))))
   0(1(3(1(2(1(3(1(3(3(1(2(2(1(0(3(2(1(1(1(x1)))))))))))))))))))) -> 0(0(2(0(0(3(3(1(1(1(1(3(0(1(1(0(0(2(1(2(x1))))))))))))))))))))
   0(1(3(3(0(0(2(2(3(2(0(0(0(1(2(0(3(2(1(3(x1)))))))))))))))))))) -> 0(0(3(0(0(0(2(1(0(0(1(2(0(0(3(3(3(3(1(0(x1))))))))))))))))))))
   0(2(0(3(1(1(3(2(3(3(0(2(2(0(2(3(0(0(2(3(x1)))))))))))))))))))) -> 0(0(3(3(2(3(3(3(0(1(1(1(2(2(3(1(3(1(1(3(x1))))))))))))))))))))
   0(2(1(3(0(0(0(3(2(0(1(1(0(0(0(2(2(3(1(3(x1)))))))))))))))))))) -> 3(3(0(3(0(3(3(0(1(1(0(1(0(2(0(2(3(1(2(3(x1))))))))))))))))))))
   0(2(1(3(2(0(2(1(0(1(0(3(0(1(1(1(3(3(3(0(x1)))))))))))))))))))) -> 3(0(2(1(3(3(3(3(1(3(2(2(1(0(0(0(3(0(1(1(x1))))))))))))))))))))
   0(2(2(1(1(2(0(1(1(0(0(1(1(2(0(1(0(3(3(3(x1)))))))))))))))))))) -> 3(1(0(1(3(1(0(3(0(3(1(3(2(1(0(1(1(3(1(3(x1))))))))))))))))))))
   0(2(2(2(1(2(2(1(1(1(1(2(3(2(0(3(3(3(3(0(x1)))))))))))))))))))) -> 3(1(2(3(3(3(1(0(3(3(2(0(2(2(3(1(1(1(3(1(x1))))))))))))))))))))
   0(2(2(2(1(3(2(1(2(1(3(0(2(3(2(1(0(0(1(3(x1)))))))))))))))))))) -> 0(1(0(2(0(0(0(0(0(3(0(0(0(2(3(2(2(3(3(0(x1))))))))))))))))))))
   0(2(2(3(3(0(0(3(3(1(3(0(3(2(2(1(1(2(3(3(x1)))))))))))))))))))) -> 1(3(3(3(0(1(0(0(3(0(1(3(3(3(3(0(2(3(2(3(x1))))))))))))))))))))
   0(3(0(2(0(1(3(0(1(2(3(2(1(1(0(0(3(3(2(3(x1)))))))))))))))))))) -> 0(3(3(2(2(3(2(3(2(0(0(2(3(3(3(3(3(0(1(0(x1))))))))))))))))))))
   0(3(1(0(0(3(1(2(2(1(0(0(0(3(0(1(2(0(3(3(x1)))))))))))))))))))) -> 0(2(3(2(3(3(1(0(0(0(3(1(1(0(2(0(0(0(3(3(x1))))))))))))))))))))
   0(3(2(2(2(3(2(2(3(1(3(0(3(2(3(0(3(3(1(3(x1)))))))))))))))))))) -> 3(0(3(3(3(3(3(2(3(3(3(1(0(0(3(2(0(2(2(1(x1))))))))))))))))))))
   1(0(0(0(3(3(3(1(1(3(2(0(3(1(2(0(1(1(2(3(x1)))))))))))))))))))) -> 3(1(3(1(3(3(3(2(2(0(0(3(0(1(3(0(0(2(0(0(x1))))))))))))))))))))
   1(0(2(3(0(2(1(2(0(3(0(1(3(3(0(3(0(1(2(2(x1)))))))))))))))))))) -> 0(2(2(0(1(1(3(0(1(1(3(3(0(3(3(0(3(1(3(1(x1))))))))))))))))))))
   1(0(3(0(0(1(1(1(3(3(0(1(0(0(3(1(1(3(2(3(x1)))))))))))))))))))) -> 3(2(3(3(3(3(3(0(1(3(0(3(1(2(0(3(3(3(1(2(x1))))))))))))))))))))
   1(0(3(2(0(1(2(3(0(3(3(0(2(3(3(2(1(1(1(3(x1)))))))))))))))))))) -> 2(2(1(3(3(3(3(0(3(0(3(3(3(0(0(3(3(0(0(0(x1))))))))))))))))))))
   1(1(0(1(0(1(2(0(3(0(2(2(3(3(0(2(2(3(1(3(x1)))))))))))))))))))) -> 1(1(1(0(2(3(3(0(3(1(3(0(2(1(1(0(3(2(3(3(x1))))))))))))))))))))
   1(1(0(1(1(3(2(0(3(0(2(3(0(0(0(0(2(0(2(3(x1)))))))))))))))))))) -> 1(2(3(0(3(0(2(1(0(2(0(3(1(3(0(3(3(2(2(3(x1))))))))))))))))))))
   1(1(0(2(0(1(3(3(1(1(1(0(1(3(3(3(1(0(1(2(x1)))))))))))))))))))) -> 1(0(2(1(2(1(2(3(2(0(3(3(3(3(3(0(0(2(0(0(x1))))))))))))))))))))
   1(1(1(3(0(1(0(1(2(2(1(0(2(2(2(3(1(0(3(3(x1)))))))))))))))))))) -> 2(2(0(0(3(3(1(2(1(3(3(0(2(3(2(2(1(2(3(3(x1))))))))))))))))))))
   1(1(1(3(2(3(3(3(1(1(0(1(0(0(0(0(0(0(2(3(x1)))))))))))))))))))) -> 1(3(0(0(0(3(1(0(1(1(3(1(0(0(3(1(2(0(3(3(x1))))))))))))))))))))
   1(1(3(2(1(1(0(0(2(2(3(1(1(1(0(3(3(0(3(3(x1)))))))))))))))))))) -> 0(2(2(3(3(0(2(0(0(0(1(0(2(3(3(0(3(0(1(3(x1))))))))))))))))))))
   1(1(3(3(0(1(3(0(2(1(2(0(2(1(1(1(0(2(2(3(x1)))))))))))))))))))) -> 1(3(3(3(2(1(3(3(0(2(0(3(1(2(0(3(0(3(2(0(x1))))))))))))))))))))
   1(2(1(2(2(3(0(3(0(1(2(3(3(3(0(0(3(1(1(3(x1)))))))))))))))))))) -> 2(3(3(0(1(0(3(2(3(3(1(0(0(0(1(0(0(2(3(3(x1))))))))))))))))))))
   1(2(3(0(0(3(0(2(0(1(0(1(1(1(3(3(2(1(2(3(x1)))))))))))))))))))) -> 2(3(3(3(0(1(1(3(3(3(0(1(2(3(0(0(2(2(0(0(x1))))))))))))))))))))
   1(3(1(2(0(3(0(0(2(1(0(3(0(3(2(1(3(3(2(3(x1)))))))))))))))))))) -> 0(3(1(1(3(0(1(1(2(3(0(1(0(0(1(0(3(3(0(0(x1))))))))))))))))))))
   1(3(1(3(1(3(3(1(3(2(3(0(3(2(2(3(0(3(0(3(x1)))))))))))))))))))) -> 0(3(2(3(3(3(0(0(0(1(0(3(1(2(3(2(3(0(0(3(x1))))))))))))))))))))
   2(0(0(2(1(2(1(1(3(0(2(3(2(1(3(3(1(3(2(3(x1)))))))))))))))))))) -> 2(2(3(1(1(0(1(0(1(1(0(1(0(3(3(1(3(3(3(1(x1))))))))))))))))))))
   2(0(0(3(3(1(2(3(2(2(3(3(2(1(1(2(0(1(3(3(x1)))))))))))))))))))) -> 2(2(3(3(0(1(0(3(0(0(0(1(1(3(1(0(2(2(0(3(x1))))))))))))))))))))
   2(0(1(0(1(3(2(3(0(0(2(1(0(2(0(3(1(0(2(3(x1)))))))))))))))))))) -> 3(3(3(0(3(3(2(3(1(3(1(3(3(0(3(3(0(2(1(0(x1))))))))))))))))))))
   2(0(1(0(2(2(0(3(0(2(2(3(3(2(1(3(0(2(3(1(x1)))))))))))))))))))) -> 2(3(3(0(3(0(0(2(3(3(1(1(3(3(0(1(2(3(2(0(x1))))))))))))))))))))
   2(0(2(0(0(3(1(0(0(2(3(3(1(0(3(2(1(0(0(3(x1)))))))))))))))))))) -> 1(3(0(1(2(0(2(2(3(1(3(3(3(3(3(3(0(3(0(3(x1))))))))))))))))))))
   2(0(3(1(0(1(3(1(1(3(2(2(3(2(2(0(1(3(1(3(x1)))))))))))))))))))) -> 3(0(0(0(2(0(1(0(1(0(0(1(0(0(3(1(0(1(3(3(x1))))))))))))))))))))
   2(0(3(1(3(0(1(2(3(2(1(0(3(0(0(3(3(0(0(0(x1)))))))))))))))))))) -> 2(3(1(3(1(3(0(1(3(0(0(1(3(3(3(0(0(1(0(2(x1))))))))))))))))))))
   2(0(3(1(3(3(3(1(2(3(0(1(2(2(3(2(1(0(3(1(x1)))))))))))))))))))) -> 1(0(3(3(1(3(0(1(2(3(0(1(0(3(3(0(3(2(1(1(x1))))))))))))))))))))
   2(1(0(1(1(3(1(3(0(1(3(2(0(3(1(0(0(0(1(3(x1)))))))))))))))))))) -> 0(0(1(2(1(3(3(3(0(2(0(2(1(3(3(0(3(2(1(3(x1))))))))))))))))))))
   2(1(0(1(3(3(1(0(2(3(0(0(0(2(3(1(0(0(3(3(x1)))))))))))))))))))) -> 2(0(1(3(2(1(3(1(3(1(1(3(3(1(3(3(0(0(3(3(x1))))))))))))))))))))
   2(1(0(3(0(0(2(2(3(1(0(0(0(0(3(1(3(0(3(3(x1)))))))))))))))))))) -> 1(2(2(0(0(2(3(3(3(0(3(0(1(3(1(3(2(3(3(3(x1))))))))))))))))))))
   2(1(0(3(0(2(0(2(1(3(3(3(1(1(1(0(0(3(3(2(x1)))))))))))))))))))) -> 2(2(1(3(0(0(1(3(0(3(3(0(3(3(1(0(1(1(0(1(x1))))))))))))))))))))
   2(1(1(0(2(3(0(2(3(3(3(2(1(2(3(1(0(2(3(2(x1)))))))))))))))))))) -> 1(3(3(3(0(1(2(1(1(3(3(0(3(0(2(2(2(2(1(1(x1))))))))))))))))))))
   2(1(1(0(3(0(1(2(3(3(1(1(1(3(0(0(3(1(3(0(x1)))))))))))))))))))) -> 2(2(0(3(2(0(0(1(2(1(1(3(1(3(3(0(3(3(3(0(x1))))))))))))))))))))
   2(1(1(1(0(1(3(1(0(3(2(3(0(0(0(3(1(1(0(3(x1)))))))))))))))))))) -> 1(1(1(0(1(1(2(0(2(1(0(0(3(3(0(2(0(3(0(3(x1))))))))))))))))))))
   2(1(1(2(3(2(1(2(3(2(0(0(2(3(3(0(2(1(3(3(x1)))))))))))))))))))) -> 0(1(0(0(3(0(1(0(3(0(1(1(1(3(3(3(0(0(3(3(x1))))))))))))))))))))
   2(1(1(3(3(1(0(2(2(2(2(2(3(0(1(0(2(2(3(3(x1)))))))))))))))))))) -> 0(3(0(3(1(3(0(3(3(1(3(3(0(3(1(3(3(0(3(1(x1))))))))))))))))))))
   2(1(3(1(2(2(0(0(2(2(2(2(3(0(3(0(1(3(1(3(x1)))))))))))))))))))) -> 3(0(2(0(3(3(2(2(3(3(0(2(3(2(1(0(0(2(1(3(x1))))))))))))))))))))
   2(1(3(1(3(3(1(1(1(1(1(1(0(2(3(2(3(0(0(3(x1)))))))))))))))))))) -> 1(3(0(0(2(0(0(2(0(3(2(2(0(1(3(3(3(0(0(3(x1))))))))))))))))))))
   2(1(3(1(3(3(1(2(2(2(0(1(3(0(3(3(2(2(0(3(x1)))))))))))))))))))) -> 2(2(0(1(3(3(1(2(0(0(0(3(3(0(1(3(1(3(0(3(x1))))))))))))))))))))
   2(1(3(3(1(1(3(2(1(3(3(1(1(0(2(2(3(0(0(0(x1)))))))))))))))))))) -> 2(0(0(0(1(0(0(3(1(1(1(3(0(0(3(0(1(3(3(2(x1))))))))))))))))))))
   2(2(0(1(3(3(3(3(1(1(0(3(1(2(0(0(3(1(2(3(x1)))))))))))))))))))) -> 0(3(3(0(3(3(2(3(0(1(0(1(3(3(3(2(3(2(1(3(x1))))))))))))))))))))
   2(2(1(0(1(0(2(3(1(2(1(2(2(1(3(3(0(3(1(3(x1)))))))))))))))))))) -> 2(2(0(0(3(3(3(1(1(0(0(3(3(2(1(1(0(2(2(3(x1))))))))))))))))))))
   2(2(3(1(1(1(1(3(1(3(1(1(0(0(0(0(3(1(2(3(x1)))))))))))))))))))) -> 3(2(0(0(0(1(3(1(3(3(1(3(0(0(2(3(0(1(1(1(x1))))))))))))))))))))
   2(2(3(2(0(0(3(0(3(3(2(2(2(0(2(3(3(3(3(2(x1)))))))))))))))))))) -> 1(0(3(1(2(3(3(2(3(3(3(3(0(1(3(1(0(3(0(3(x1))))))))))))))))))))
   2(2(3(2(2(2(3(3(0(0(0(1(0(3(0(3(0(1(0(1(x1)))))))))))))))))))) -> 2(2(2(3(2(1(3(0(3(3(3(0(2(3(3(1(2(0(3(3(x1))))))))))))))))))))
   2(2(3(3(0(2(2(0(1(3(1(3(3(0(3(2(2(2(1(2(x1)))))))))))))))))))) -> 2(0(0(0(3(0(3(1(3(2(0(0(1(1(3(0(0(3(2(3(x1))))))))))))))))))))
   2(2(3(3(0(2(3(0(0(1(1(0(0(0(2(2(2(3(1(2(x1)))))))))))))))))))) -> 0(3(0(3(2(0(1(0(1(2(0(3(3(0(2(2(3(0(3(2(x1))))))))))))))))))))
   2(2(3(3(2(2(2(2(3(0(2(3(0(2(0(1(1(3(3(1(x1)))))))))))))))))))) -> 2(2(2(0(0(1(0(0(1(3(3(3(3(3(2(1(0(0(0(3(x1))))))))))))))))))))
   2(3(0(3(3(2(3(0(1(3(2(2(3(3(0(2(2(0(1(2(x1)))))))))))))))))))) -> 2(0(1(3(0(2(2(3(2(0(3(3(2(0(3(1(0(3(0(2(x1))))))))))))))))))))
   2(3(1(2(0(3(2(0(2(3(3(0(2(0(0(1(0(1(0(3(x1)))))))))))))))))))) -> 0(3(1(3(0(3(3(0(1(0(0(3(2(0(0(0(3(3(2(3(x1))))))))))))))))))))
   2(3(1(3(3(3(2(0(1(2(0(0(2(3(3(0(0(1(1(2(x1)))))))))))))))))))) -> 0(2(0(2(1(3(3(0(2(1(0(3(2(3(0(2(2(1(3(3(x1))))))))))))))))))))
   2(3(2(2(0(3(3(1(1(1(3(0(0(1(0(0(2(3(0(3(x1)))))))))))))))))))) -> 2(3(1(1(0(3(2(2(1(3(0(3(3(2(0(0(1(1(3(3(x1))))))))))))))))))))
   2(3(2(2(2(3(0(0(3(2(1(0(3(0(2(2(0(0(1(1(x1)))))))))))))))))))) -> 0(3(1(3(0(1(2(0(1(2(0(3(1(3(2(1(0(3(0(0(x1))))))))))))))))))))
   2(3(2(3(0(3(0(3(3(3(0(1(1(1(0(3(1(2(1(1(x1)))))))))))))))))))) -> 0(3(1(3(1(3(1(3(0(1(0(0(3(3(3(2(0(2(3(2(x1))))))))))))))))))))
   2(3(2(3(1(0(0(1(0(2(0(0(1(3(3(1(0(0(0(0(x1)))))))))))))))))))) -> 1(2(0(3(3(3(0(2(2(0(1(0(0(1(2(2(1(3(3(0(x1))))))))))))))))))))
   3(0(0(1(1(1(3(3(3(0(2(2(1(3(1(2(3(1(1(0(x1)))))))))))))))))))) -> 1(3(0(2(1(3(3(2(0(2(3(1(3(0(3(0(0(2(1(0(x1))))))))))))))))))))
   3(0(1(0(1(2(3(2(1(1(0(1(1(3(0(3(3(2(1(3(x1)))))))))))))))))))) -> 0(3(0(0(2(3(0(2(2(1(0(1(2(0(1(3(1(3(1(3(x1))))))))))))))))))))
   3(0(2(0(2(0(1(1(3(0(0(3(0(0(2(0(0(3(2(3(x1)))))))))))))))))))) -> 0(3(2(2(0(3(3(3(1(1(0(0(3(0(2(2(1(1(3(3(x1))))))))))))))))))))
   3(0(2(1(2(1(3(1(3(0(3(1(3(0(2(0(2(0(3(2(x1)))))))))))))))))))) -> 2(2(3(1(3(1(3(3(1(3(3(0(0(2(1(2(3(3(3(2(x1))))))))))))))))))))
   3(0(2(2(1(1(0(1(1(1(3(0(3(1(3(2(1(3(3(0(x1)))))))))))))))))))) -> 0(0(0(0(1(3(3(1(1(3(1(3(0(1(0(3(3(1(1(3(x1))))))))))))))))))))
   3(0(3(2(1(3(0(3(3(0(3(3(0(3(0(3(1(0(0(1(x1)))))))))))))))))))) -> 3(3(3(3(2(3(0(1(0(0(0(3(3(1(3(3(3(1(1(2(x1))))))))))))))))))))
   3(0(3(2(2(2(3(1(3(0(2(1(0(1(0(2(2(3(3(1(x1)))))))))))))))))))) -> 2(3(0(0(3(1(2(0(3(3(0(0(0(3(3(3(1(0(2(2(x1))))))))))))))))))))
   3(0(3(3(3(3(1(3(2(0(1(0(1(0(3(3(0(0(1(1(x1)))))))))))))))))))) -> 3(3(2(3(3(3(2(3(3(0(1(1(0(3(3(3(0(3(3(0(x1))))))))))))))))))))
   3(1(0(1(1(1(3(1(0(0(0(2(1(0(1(2(0(0(0(3(x1)))))))))))))))))))) -> 0(3(0(2(2(0(1(0(1(0(0(2(2(3(2(3(0(1(0(3(x1))))))))))))))))))))
   3(1(1(3(2(3(3(3(1(0(1(2(0(3(0(0(0(1(2(3(x1)))))))))))))))))))) -> 3(3(3(0(3(3(1(0(2(3(0(0(2(2(3(3(0(3(2(0(x1))))))))))))))))))))
   3(1(2(3(2(2(2(3(3(0(1(3(0(1(1(1(0(0(0(3(x1)))))))))))))))))))) -> 1(2(1(3(1(3(3(3(3(2(1(1(2(3(0(0(3(3(0(0(x1))))))))))))))))))))
   3(1(3(0(2(1(1(2(0(3(2(2(1(3(1(1(2(2(3(3(x1)))))))))))))))))))) -> 1(0(0(1(3(0(1(1(2(0(3(3(3(3(0(0(3(0(3(2(x1))))))))))))))))))))
   3(2(0(3(3(1(3(2(3(0(3(2(3(1(3(0(2(1(3(0(x1)))))))))))))))))))) -> 3(3(3(0(2(3(3(0(2(0(3(3(3(3(1(0(0(1(3(0(x1))))))))))))))))))))
   3(2(3(0(1(3(2(2(0(1(1(3(3(3(1(2(3(1(1(0(x1)))))))))))))))))))) -> 0(0(0(0(3(2(3(1(1(1(0(1(0(0(3(3(0(2(3(1(x1))))))))))))))))))))
   3(3(0(2(2(3(3(1(2(2(0(0(3(2(0(2(1(0(3(3(x1)))))))))))))))))))) -> 1(0(2(1(1(3(2(1(1(3(0(3(3(1(1(3(1(3(3(3(x1))))))))))))))))))))
   3(3(0(2(3(3(0(1(3(0(0(1(2(2(2(2(3(3(2(1(x1)))))))))))))))))))) -> 3(1(3(3(1(0(3(0(3(0(2(3(3(1(0(1(0(3(1(0(x1))))))))))))))))))))
   3(3(0(3(3(0(1(2(1(1(0(3(3(0(2(0(0(2(2(1(x1)))))))))))))))))))) -> 3(3(3(3(1(3(3(1(1(3(1(2(3(3(3(2(2(0(2(1(x1))))))))))))))))))))
   3(3(1(0(1(3(0(0(3(1(2(1(0(0(3(0(1(0(3(1(x1)))))))))))))))))))) -> 1(3(3(3(3(2(3(2(2(0(3(1(0(0(1(3(0(3(3(1(x1))))))))))))))))))))
   3(3(1(0(3(1(0(3(1(1(3(3(1(3(0(2(2(3(1(1(x1)))))))))))))))))))) -> 0(0(3(0(2(1(3(3(0(0(3(2(0(0(3(0(2(2(0(0(x1))))))))))))))))))))
   3(3(2(1(3(1(3(0(2(0(3(1(2(1(3(2(1(3(2(3(x1)))))))))))))))))))) -> 2(3(3(2(2(2(0(3(1(2(3(3(3(3(0(1(3(2(0(3(x1))))))))))))))))))))
   3(3(3(3(1(1(3(2(3(0(3(3(0(3(2(1(0(0(2(2(x1)))))))))))))))))))) -> 3(3(0(3(0(0(3(3(3(1(3(1(1(0(3(0(2(0(1(2(x1))))))))))))))))))))
   encArg(cons_0(x_1)) -> 0(encArg(x_1))
   encArg(cons_1(x_1)) -> 1(encArg(x_1))
   encArg(cons_2(x_1)) -> 2(encArg(x_1))
   encArg(cons_3(x_1)) -> 3(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))

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

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

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


The TRS R consists of the following rules:

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

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

   encArg(cons_0(x_1)) -> 0(encArg(x_1))
   encArg(cons_1(x_1)) -> 1(encArg(x_1))
   encArg(cons_2(x_1)) -> 2(encArg(x_1))
   encArg(cons_3(x_1)) -> 3(encArg(x_1))
   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))
   0(x0) -> c_0(x0)
   1(x0) -> c_1(x0)
   2(x0) -> c_2(x0)
   3(x0) -> c_3(x0)

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

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

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

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


The TRS R consists of the following rules:

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

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

   encArg(cons_0(x_1)) -> 0(encArg(x_1))
   encArg(cons_1(x_1)) -> 1(encArg(x_1))
   encArg(cons_2(x_1)) -> 2(encArg(x_1))
   encArg(cons_3(x_1)) -> 3(encArg(x_1))
   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))
   0(x0) -> c_0(x0)
   1(x0) -> c_1(x0)
   2(x0) -> c_2(x0)
   3(x0) -> c_3(x0)

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

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

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


The TRS R consists of the following rules:

   0(c_1(c_1(c_1(c_0(c_0(c_0(c_0(c_0(c_0(c_3(c_0(c_1(c_0(c_1(c_0(c_2(c_0(c_3(c_1(x1)))))))))))))))))))) -> 1(0(2(1(3(0(1(0(2(3(0(0(3(3(0(1(0(0(1(0(x1)))))))))))))))))))) [1]
   2(c_1(c_1(c_0(c_2(c_3(c_0(c_2(c_3(c_3(c_3(c_2(c_1(c_2(c_3(c_1(c_0(c_2(c_3(c_2(x1)))))))))))))))))))) -> 1(3(3(3(0(1(2(1(1(3(3(0(3(0(2(2(2(2(1(1(x1)))))))))))))))))))) [1]
   3(c_3(c_0(c_2(c_2(c_3(c_3(c_1(c_2(c_2(c_0(c_0(c_3(c_2(c_0(c_2(c_1(c_0(c_3(c_3(x1)))))))))))))))))))) -> 1(0(2(1(1(3(2(1(1(3(0(3(3(1(1(3(1(3(3(3(x1)))))))))))))))))))) [1]
   2(c_3(c_1(c_3(c_3(c_3(c_2(c_0(c_1(c_2(c_0(c_0(c_2(c_3(c_3(c_0(c_0(c_1(c_1(c_2(x1)))))))))))))))))))) -> 0(2(0(2(1(3(3(0(2(1(0(3(2(3(0(2(2(1(3(3(x1)))))))))))))))))))) [1]
   0(c_0(c_1(c_2(c_3(c_0(c_1(c_0(c_3(c_0(c_3(c_1(c_1(c_1(c_0(c_1(c_3(c_3(c_2(c_3(x1)))))))))))))))))))) -> 3(0(3(1(1(0(2(3(0(3(3(1(3(1(0(3(0(1(2(3(x1)))))))))))))))))))) [1]
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   3(c_1(c_1(c_3(c_2(c_3(c_3(c_3(c_1(c_0(c_1(c_2(c_0(c_3(c_0(c_0(c_0(c_1(c_2(c_3(x1)))))))))))))))))))) -> 3(3(3(0(3(3(1(0(2(3(0(0(2(2(3(3(0(3(2(0(x1)))))))))))))))))))) [1]
   0(c_0(c_0(c_0(c_1(c_0(c_2(c_3(c_1(c_3(c_0(c_2(c_0(c_1(c_0(c_2(c_1(c_2(c_3(c_3(x1)))))))))))))))))))) -> 0(0(0(2(2(1(3(3(3(0(3(3(1(3(1(1(1(1(3(3(x1)))))))))))))))))))) [1]
   2(c_1(c_1(c_3(c_3(c_1(c_0(c_2(c_2(c_2(c_2(c_2(c_3(c_0(c_1(c_0(c_2(c_2(c_3(c_3(x1)))))))))))))))))))) -> 0(3(0(3(1(3(0(3(3(1(3(3(0(3(1(3(3(0(3(1(x1)))))))))))))))))))) [1]
   2(c_2(c_3(c_3(c_2(c_2(c_2(c_2(c_3(c_0(c_2(c_3(c_0(c_2(c_0(c_1(c_1(c_3(c_3(c_1(x1)))))))))))))))))))) -> 2(2(2(0(0(1(0(0(1(3(3(3(3(3(2(1(0(0(0(3(x1)))))))))))))))))))) [1]
   2(c_1(c_3(c_3(c_1(c_1(c_3(c_2(c_1(c_3(c_3(c_1(c_1(c_0(c_2(c_2(c_3(c_0(c_0(c_0(x1)))))))))))))))))))) -> 2(0(0(0(1(0(0(3(1(1(1(3(0(0(3(0(1(3(3(2(x1)))))))))))))))))))) [1]
   0(c_2(c_1(c_3(c_0(c_0(c_0(c_3(c_2(c_0(c_1(c_1(c_0(c_0(c_0(c_2(c_2(c_3(c_1(c_3(x1)))))))))))))))))))) -> 3(3(0(3(0(3(3(0(1(1(0(1(0(2(0(2(3(1(2(3(x1)))))))))))))))))))) [1]
   3(c_0(c_2(c_1(c_2(c_1(c_3(c_1(c_3(c_0(c_3(c_1(c_3(c_0(c_2(c_0(c_2(c_0(c_3(c_2(x1)))))))))))))))))))) -> 2(2(3(1(3(1(3(3(1(3(3(0(0(2(1(2(3(3(3(2(x1)))))))))))))))))))) [1]
   3(c_0(c_2(c_2(c_1(c_1(c_0(c_1(c_1(c_1(c_3(c_0(c_3(c_1(c_3(c_2(c_1(c_3(c_3(c_0(x1)))))))))))))))))))) -> 0(0(0(0(1(3(3(1(1(3(1(3(0(1(0(3(3(1(1(3(x1)))))))))))))))))))) [1]
   2(c_1(c_1(c_0(c_3(c_0(c_1(c_2(c_3(c_3(c_1(c_1(c_1(c_3(c_0(c_0(c_3(c_1(c_3(c_0(x1)))))))))))))))))))) -> 2(2(0(3(2(0(0(1(2(1(1(3(1(3(3(0(3(3(3(0(x1)))))))))))))))))))) [1]
   3(c_1(c_3(c_0(c_2(c_1(c_1(c_2(c_0(c_3(c_2(c_2(c_1(c_3(c_1(c_1(c_2(c_2(c_3(c_3(x1)))))))))))))))))))) -> 1(0(0(1(3(0(1(1(2(0(3(3(3(3(0(0(3(0(3(2(x1)))))))))))))))))))) [1]
   3(c_0(c_2(c_0(c_2(c_0(c_1(c_1(c_3(c_0(c_0(c_3(c_0(c_0(c_2(c_0(c_0(c_3(c_2(c_3(x1)))))))))))))))))))) -> 0(3(2(2(0(3(3(3(1(1(0(0(3(0(2(2(1(1(3(3(x1)))))))))))))))))))) [1]
   2(c_0(c_1(c_0(c_1(c_3(c_2(c_3(c_0(c_0(c_2(c_1(c_0(c_2(c_0(c_3(c_1(c_0(c_2(c_3(x1)))))))))))))))))))) -> 3(3(3(0(3(3(2(3(1(3(1(3(3(0(3(3(0(2(1(0(x1)))))))))))))))))))) [1]
   0(c_3(c_1(c_0(c_0(c_3(c_1(c_2(c_2(c_1(c_0(c_0(c_0(c_3(c_0(c_1(c_2(c_0(c_3(c_3(x1)))))))))))))))))))) -> 0(2(3(2(3(3(1(0(0(0(3(1(1(0(2(0(0(0(3(3(x1)))))))))))))))))))) [1]
   0(c_0(c_0(c_3(c_1(c_3(c_2(c_1(c_3(c_3(c_3(c_2(c_2(c_3(c_1(c_3(c_0(c_3(c_2(c_3(x1)))))))))))))))))))) -> 0(3(3(2(0(1(2(3(0(0(2(2(1(3(3(3(2(3(3(3(x1)))))))))))))))))))) [1]
   2(c_0(c_3(c_1(c_3(c_3(c_3(c_1(c_2(c_3(c_0(c_1(c_2(c_2(c_3(c_2(c_1(c_0(c_3(c_1(x1)))))))))))))))))))) -> 1(0(3(3(1(3(0(1(2(3(0(1(0(3(3(0(3(2(1(1(x1)))))))))))))))))))) [1]
   3(c_0(c_0(c_1(c_1(c_1(c_3(c_3(c_3(c_0(c_2(c_2(c_1(c_3(c_1(c_2(c_3(c_1(c_1(c_0(x1)))))))))))))))))))) -> 1(3(0(2(1(3(3(2(0(2(3(1(3(0(3(0(0(2(1(0(x1)))))))))))))))))))) [1]
   1(c_2(c_3(c_0(c_0(c_3(c_0(c_2(c_0(c_1(c_0(c_1(c_1(c_1(c_3(c_3(c_2(c_1(c_2(c_3(x1)))))))))))))))))))) -> 2(3(3(3(0(1(1(3(3(3(0(1(2(3(0(0(2(2(0(0(x1)))))))))))))))))))) [1]
   1(c_3(c_1(c_2(c_0(c_3(c_0(c_0(c_2(c_1(c_0(c_3(c_0(c_3(c_2(c_1(c_3(c_3(c_2(c_3(x1)))))))))))))))))))) -> 0(3(1(1(3(0(1(1(2(3(0(1(0(0(1(0(3(3(0(0(x1)))))))))))))))))))) [1]
   2(c_3(c_0(c_3(c_3(c_2(c_3(c_0(c_1(c_3(c_2(c_2(c_3(c_3(c_0(c_2(c_2(c_0(c_1(c_2(x1)))))))))))))))))))) -> 2(0(1(3(0(2(2(3(2(0(3(3(2(0(3(1(0(3(0(2(x1)))))))))))))))))))) [1]
   2(c_3(c_2(c_2(c_0(c_3(c_3(c_1(c_1(c_1(c_3(c_0(c_0(c_1(c_0(c_0(c_2(c_3(c_0(c_3(x1)))))))))))))))))))) -> 2(3(1(1(0(3(2(2(1(3(0(3(3(2(0(0(1(1(3(3(x1)))))))))))))))))))) [1]
   0(c_0(c_2(c_0(c_2(c_3(c_0(c_0(c_1(c_1(c_3(c_1(c_3(c_0(c_0(c_3(c_0(c_3(c_0(c_1(x1)))))))))))))))))))) -> 1(3(0(1(3(0(3(0(3(0(1(0(2(3(0(2(0(0(0(2(x1)))))))))))))))))))) [1]
   2(c_0(c_1(c_0(c_2(c_2(c_0(c_3(c_0(c_2(c_2(c_3(c_3(c_2(c_1(c_3(c_0(c_2(c_3(c_1(x1)))))))))))))))))))) -> 2(3(3(0(3(0(0(2(3(3(1(1(3(3(0(1(2(3(2(0(x1)))))))))))))))))))) [1]
   1(c_2(c_1(c_2(c_2(c_3(c_0(c_3(c_0(c_1(c_2(c_3(c_3(c_3(c_0(c_0(c_3(c_1(c_1(c_3(x1)))))))))))))))))))) -> 2(3(3(0(1(0(3(2(3(3(1(0(0(0(1(0(0(2(3(3(x1)))))))))))))))))))) [1]
   3(c_0(c_3(c_2(c_1(c_3(c_0(c_3(c_3(c_0(c_3(c_3(c_0(c_3(c_0(c_3(c_1(c_0(c_0(c_1(x1)))))))))))))))))))) -> 3(3(3(3(2(3(0(1(0(0(0(3(3(1(3(3(3(1(1(2(x1)))))))))))))))))))) [1]
   1(c_0(c_3(c_2(c_0(c_1(c_2(c_3(c_0(c_3(c_3(c_0(c_2(c_3(c_3(c_2(c_1(c_1(c_1(c_3(x1)))))))))))))))))))) -> 2(2(1(3(3(3(3(0(3(0(3(3(3(0(0(3(3(0(0(0(x1)))))))))))))))))))) [1]
   0(c_1(c_3(c_1(c_0(c_2(c_0(c_2(c_2(c_2(c_1(c_2(c_0(c_1(c_3(c_3(c_0(c_3(c_0(c_3(x1)))))))))))))))))))) -> 3(2(1(0(3(2(3(0(0(0(1(3(0(0(3(3(3(1(3(2(x1)))))))))))))))))))) [1]
   3(c_3(c_1(c_0(c_1(c_3(c_0(c_0(c_3(c_1(c_2(c_1(c_0(c_0(c_3(c_0(c_1(c_0(c_3(c_1(x1)))))))))))))))))))) -> 1(3(3(3(3(2(3(2(2(0(3(1(0(0(1(3(0(3(3(1(x1)))))))))))))))))))) [1]
   3(c_3(c_3(c_3(c_1(c_1(c_3(c_2(c_3(c_0(c_3(c_3(c_0(c_3(c_2(c_1(c_0(c_0(c_2(c_2(x1)))))))))))))))))))) -> 3(3(0(3(0(0(3(3(3(1(3(1(1(0(3(0(2(0(1(2(x1)))))))))))))))))))) [1]
   2(c_0(c_0(c_2(c_1(c_2(c_1(c_1(c_3(c_0(c_2(c_3(c_2(c_1(c_3(c_3(c_1(c_3(c_2(c_3(x1)))))))))))))))))))) -> 2(2(3(1(1(0(1(0(1(1(0(1(0(3(3(1(3(3(3(1(x1)))))))))))))))))))) [1]
   3(c_2(c_3(c_0(c_1(c_3(c_2(c_2(c_0(c_1(c_1(c_3(c_3(c_3(c_1(c_2(c_3(c_1(c_1(c_0(x1)))))))))))))))))))) -> 0(0(0(0(3(2(3(1(1(1(0(1(0(0(3(3(0(2(3(1(x1)))))))))))))))))))) [1]
   2(c_1(c_1(c_1(c_0(c_1(c_3(c_1(c_0(c_3(c_2(c_3(c_0(c_0(c_0(c_3(c_1(c_1(c_0(c_3(x1)))))))))))))))))))) -> 1(1(1(0(1(1(2(0(2(1(0(0(3(3(0(2(0(3(0(3(x1)))))))))))))))))))) [1]
   2(c_1(c_3(c_1(c_3(c_3(c_1(c_1(c_1(c_1(c_1(c_1(c_0(c_2(c_3(c_2(c_3(c_0(c_0(c_3(x1)))))))))))))))))))) -> 1(3(0(0(2(0(0(2(0(3(2(2(0(1(3(3(3(0(0(3(x1)))))))))))))))))))) [1]
   2(c_1(c_0(c_3(c_0(c_2(c_0(c_2(c_1(c_3(c_3(c_3(c_1(c_1(c_1(c_0(c_0(c_3(c_3(c_2(x1)))))))))))))))))))) -> 2(2(1(3(0(0(1(3(0(3(3(0(3(3(1(0(1(1(0(1(x1)))))))))))))))))))) [1]
   2(c_3(c_1(c_2(c_0(c_3(c_2(c_0(c_2(c_3(c_3(c_0(c_2(c_0(c_0(c_1(c_0(c_1(c_0(c_3(x1)))))))))))))))))))) -> 0(3(1(3(0(3(3(0(1(0(0(3(2(0(0(0(3(3(2(3(x1)))))))))))))))))))) [1]
   3(c_0(c_3(c_2(c_2(c_2(c_3(c_1(c_3(c_0(c_2(c_1(c_0(c_1(c_0(c_2(c_2(c_3(c_3(c_1(x1)))))))))))))))))))) -> 2(3(0(0(3(1(2(0(3(3(0(0(0(3(3(3(1(0(2(2(x1)))))))))))))))))))) [1]
   0(c_2(c_2(c_2(c_1(c_3(c_2(c_1(c_2(c_1(c_3(c_0(c_2(c_3(c_2(c_1(c_0(c_0(c_1(c_3(x1)))))))))))))))))))) -> 0(1(0(2(0(0(0(0(0(3(0(0(0(2(3(2(2(3(3(0(x1)))))))))))))))))))) [1]
   3(c_2(c_0(c_3(c_3(c_1(c_3(c_2(c_3(c_0(c_3(c_2(c_3(c_1(c_3(c_0(c_2(c_1(c_3(c_0(x1)))))))))))))))))))) -> 3(3(3(0(2(3(3(0(2(0(3(3(3(3(1(0(0(1(3(0(x1)))))))))))))))))))) [1]
   0(c_2(c_1(c_3(c_2(c_0(c_2(c_1(c_0(c_1(c_0(c_3(c_0(c_1(c_1(c_1(c_3(c_3(c_3(c_0(x1)))))))))))))))))))) -> 3(0(2(1(3(3(3(3(1(3(2(2(1(0(0(0(3(0(1(1(x1)))))))))))))))))))) [1]
   2(c_2(c_3(c_2(c_0(c_0(c_3(c_0(c_3(c_3(c_2(c_2(c_2(c_0(c_2(c_3(c_3(c_3(c_3(c_2(x1)))))))))))))))))))) -> 1(0(3(1(2(3(3(2(3(3(3(3(0(1(3(1(0(3(0(3(x1)))))))))))))))))))) [1]
   2(c_2(c_3(c_3(c_0(c_2(c_2(c_0(c_1(c_3(c_1(c_3(c_3(c_0(c_3(c_2(c_2(c_2(c_1(c_2(x1)))))))))))))))))))) -> 2(0(0(0(3(0(3(1(3(2(0(0(1(1(3(0(0(3(2(3(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]
   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]
   0(x0) -> c_0(x0) [0]
   1(x0) -> c_1(x0) [0]
   2(x0) -> c_2(x0) [0]
   3(x0) -> c_3(x0) [0]

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

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

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

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

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


The TRS R consists of the following rules:

   0'(c_1(c_1(c_1(c_0(c_0(c_0(c_0(c_0(c_0(c_3(c_0(c_1(c_0(c_1(c_0(c_2(c_0(c_3(c_1(x1)))))))))))))))))))) -> 1'(0'(2'(1'(3'(0'(1'(0'(2'(3'(0'(0'(3'(3'(0'(1'(0'(0'(1'(0'(x1)))))))))))))))))))) [1]
   2'(c_1(c_1(c_0(c_2(c_3(c_0(c_2(c_3(c_3(c_3(c_2(c_1(c_2(c_3(c_1(c_0(c_2(c_3(c_2(x1)))))))))))))))))))) -> 1'(3'(3'(3'(0'(1'(2'(1'(1'(3'(3'(0'(3'(0'(2'(2'(2'(2'(1'(1'(x1)))))))))))))))))))) [1]
   3'(c_3(c_0(c_2(c_2(c_3(c_3(c_1(c_2(c_2(c_0(c_0(c_3(c_2(c_0(c_2(c_1(c_0(c_3(c_3(x1)))))))))))))))))))) -> 1'(0'(2'(1'(1'(3'(2'(1'(1'(3'(0'(3'(3'(1'(1'(3'(1'(3'(3'(3'(x1)))))))))))))))))))) [1]
   2'(c_3(c_1(c_3(c_3(c_3(c_2(c_0(c_1(c_2(c_0(c_0(c_2(c_3(c_3(c_0(c_0(c_1(c_1(c_2(x1)))))))))))))))))))) -> 0'(2'(0'(2'(1'(3'(3'(0'(2'(1'(0'(3'(2'(3'(0'(2'(2'(1'(3'(3'(x1)))))))))))))))))))) [1]
   0'(c_0(c_1(c_2(c_3(c_0(c_1(c_0(c_3(c_0(c_3(c_1(c_1(c_1(c_0(c_1(c_3(c_3(c_2(c_3(x1)))))))))))))))))))) -> 3'(0'(3'(1'(1'(0'(2'(3'(0'(3'(3'(1'(3'(1'(0'(3'(0'(1'(2'(3'(x1)))))))))))))))))))) [1]
   0'(c_2(c_0(c_3(c_1(c_1(c_3(c_2(c_3(c_3(c_0(c_2(c_2(c_0(c_2(c_3(c_0(c_0(c_2(c_3(x1)))))))))))))))))))) -> 0'(0'(3'(3'(2'(3'(3'(3'(0'(1'(1'(1'(2'(2'(3'(1'(3'(1'(1'(3'(x1)))))))))))))))))))) [1]
   1'(c_1(c_3(c_2(c_1(c_1(c_0(c_0(c_2(c_2(c_3(c_1(c_1(c_1(c_0(c_3(c_3(c_0(c_3(c_3(x1)))))))))))))))))))) -> 0'(2'(2'(3'(3'(0'(2'(0'(0'(0'(1'(0'(2'(3'(3'(0'(3'(0'(1'(3'(x1)))))))))))))))))))) [1]
   2'(c_3(c_2(c_2(c_2(c_3(c_0(c_0(c_3(c_2(c_1(c_0(c_3(c_0(c_2(c_2(c_0(c_0(c_1(c_1(x1)))))))))))))))))))) -> 0'(3'(1'(3'(0'(1'(2'(0'(1'(2'(0'(3'(1'(3'(2'(1'(0'(3'(0'(0'(x1)))))))))))))))))))) [1]
   1'(c_1(c_0(c_2(c_0(c_1(c_3(c_3(c_1(c_1(c_1(c_0(c_1(c_3(c_3(c_3(c_1(c_0(c_1(c_2(x1)))))))))))))))))))) -> 1'(0'(2'(1'(2'(1'(2'(3'(2'(0'(3'(3'(3'(3'(3'(0'(0'(2'(0'(0'(x1)))))))))))))))))))) [1]
   1'(c_3(c_1(c_3(c_1(c_3(c_3(c_1(c_3(c_2(c_3(c_0(c_3(c_2(c_2(c_3(c_0(c_3(c_0(c_3(x1)))))))))))))))))))) -> 0'(3'(2'(3'(3'(3'(0'(0'(0'(1'(0'(3'(1'(2'(3'(2'(3'(0'(0'(3'(x1)))))))))))))))))))) [1]
   0'(c_0(c_1(c_1(c_0(c_1(c_0(c_2(c_3(c_1(c_3(c_3(c_3(c_1(c_2(c_2(c_0(c_0(c_2(c_3(x1)))))))))))))))))))) -> 0'(0'(3'(0'(2'(1'(3'(3'(1'(3'(2'(3'(3'(3'(2'(0'(0'(1'(0'(2'(x1)))))))))))))))))))) [1]
   1'(c_0(c_3(c_0(c_0(c_1(c_1(c_1(c_3(c_3(c_0(c_1(c_0(c_0(c_3(c_1(c_1(c_3(c_2(c_3(x1)))))))))))))))))))) -> 3'(2'(3'(3'(3'(3'(3'(0'(1'(3'(0'(3'(1'(2'(0'(3'(3'(3'(1'(2'(x1)))))))))))))))))))) [1]
   2'(c_2(c_3(c_3(c_0(c_2(c_3(c_0(c_0(c_1(c_1(c_0(c_0(c_0(c_2(c_2(c_2(c_3(c_1(c_2(x1)))))))))))))))))))) -> 0'(3'(0'(3'(2'(0'(1'(0'(1'(2'(0'(3'(3'(0'(2'(2'(3'(0'(3'(2'(x1)))))))))))))))))))) [1]
   2'(c_2(c_0(c_1(c_3(c_3(c_3(c_3(c_1(c_1(c_0(c_3(c_1(c_2(c_0(c_0(c_3(c_1(c_2(c_3(x1)))))))))))))))))))) -> 0'(3'(3'(0'(3'(3'(2'(3'(0'(1'(0'(1'(3'(3'(3'(2'(3'(2'(1'(3'(x1)))))))))))))))))))) [1]
   1'(c_1(c_3(c_3(c_0(c_1(c_3(c_0(c_2(c_1(c_2(c_0(c_2(c_1(c_1(c_1(c_0(c_2(c_2(c_3(x1)))))))))))))))))))) -> 1'(3'(3'(3'(2'(1'(3'(3'(0'(2'(0'(3'(1'(2'(0'(3'(0'(3'(2'(0'(x1)))))))))))))))))))) [1]
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   3'(c_0(c_2(c_0(c_2(c_0(c_1(c_1(c_3(c_0(c_0(c_3(c_0(c_0(c_2(c_0(c_0(c_3(c_2(c_3(x1)))))))))))))))))))) -> 0'(3'(2'(2'(0'(3'(3'(3'(1'(1'(0'(0'(3'(0'(2'(2'(1'(1'(3'(3'(x1)))))))))))))))))))) [1]
   2'(c_0(c_1(c_0(c_1(c_3(c_2(c_3(c_0(c_0(c_2(c_1(c_0(c_2(c_0(c_3(c_1(c_0(c_2(c_3(x1)))))))))))))))))))) -> 3'(3'(3'(0'(3'(3'(2'(3'(1'(3'(1'(3'(3'(0'(3'(3'(0'(2'(1'(0'(x1)))))))))))))))))))) [1]
   0'(c_3(c_1(c_0(c_0(c_3(c_1(c_2(c_2(c_1(c_0(c_0(c_0(c_3(c_0(c_1(c_2(c_0(c_3(c_3(x1)))))))))))))))))))) -> 0'(2'(3'(2'(3'(3'(1'(0'(0'(0'(3'(1'(1'(0'(2'(0'(0'(0'(3'(3'(x1)))))))))))))))))))) [1]
   0'(c_0(c_0(c_3(c_1(c_3(c_2(c_1(c_3(c_3(c_3(c_2(c_2(c_3(c_1(c_3(c_0(c_3(c_2(c_3(x1)))))))))))))))))))) -> 0'(3'(3'(2'(0'(1'(2'(3'(0'(0'(2'(2'(1'(3'(3'(3'(2'(3'(3'(3'(x1)))))))))))))))))))) [1]
   2'(c_0(c_3(c_1(c_3(c_3(c_3(c_1(c_2(c_3(c_0(c_1(c_2(c_2(c_3(c_2(c_1(c_0(c_3(c_1(x1)))))))))))))))))))) -> 1'(0'(3'(3'(1'(3'(0'(1'(2'(3'(0'(1'(0'(3'(3'(0'(3'(2'(1'(1'(x1)))))))))))))))))))) [1]
   3'(c_0(c_0(c_1(c_1(c_1(c_3(c_3(c_3(c_0(c_2(c_2(c_1(c_3(c_1(c_2(c_3(c_1(c_1(c_0(x1)))))))))))))))))))) -> 1'(3'(0'(2'(1'(3'(3'(2'(0'(2'(3'(1'(3'(0'(3'(0'(0'(2'(1'(0'(x1)))))))))))))))))))) [1]
   1'(c_2(c_3(c_0(c_0(c_3(c_0(c_2(c_0(c_1(c_0(c_1(c_1(c_1(c_3(c_3(c_2(c_1(c_2(c_3(x1)))))))))))))))))))) -> 2'(3'(3'(3'(0'(1'(1'(3'(3'(3'(0'(1'(2'(3'(0'(0'(2'(2'(0'(0'(x1)))))))))))))))))))) [1]
   1'(c_3(c_1(c_2(c_0(c_3(c_0(c_0(c_2(c_1(c_0(c_3(c_0(c_3(c_2(c_1(c_3(c_3(c_2(c_3(x1)))))))))))))))))))) -> 0'(3'(1'(1'(3'(0'(1'(1'(2'(3'(0'(1'(0'(0'(1'(0'(3'(3'(0'(0'(x1)))))))))))))))))))) [1]
   2'(c_3(c_0(c_3(c_3(c_2(c_3(c_0(c_1(c_3(c_2(c_2(c_3(c_3(c_0(c_2(c_2(c_0(c_1(c_2(x1)))))))))))))))))))) -> 2'(0'(1'(3'(0'(2'(2'(3'(2'(0'(3'(3'(2'(0'(3'(1'(0'(3'(0'(2'(x1)))))))))))))))))))) [1]
   2'(c_3(c_2(c_2(c_0(c_3(c_3(c_1(c_1(c_1(c_3(c_0(c_0(c_1(c_0(c_0(c_2(c_3(c_0(c_3(x1)))))))))))))))))))) -> 2'(3'(1'(1'(0'(3'(2'(2'(1'(3'(0'(3'(3'(2'(0'(0'(1'(1'(3'(3'(x1)))))))))))))))))))) [1]
   0'(c_0(c_2(c_0(c_2(c_3(c_0(c_0(c_1(c_1(c_3(c_1(c_3(c_0(c_0(c_3(c_0(c_3(c_0(c_1(x1)))))))))))))))))))) -> 1'(3'(0'(1'(3'(0'(3'(0'(3'(0'(1'(0'(2'(3'(0'(2'(0'(0'(0'(2'(x1)))))))))))))))))))) [1]
   2'(c_0(c_1(c_0(c_2(c_2(c_0(c_3(c_0(c_2(c_2(c_3(c_3(c_2(c_1(c_3(c_0(c_2(c_3(c_1(x1)))))))))))))))))))) -> 2'(3'(3'(0'(3'(0'(0'(2'(3'(3'(1'(1'(3'(3'(0'(1'(2'(3'(2'(0'(x1)))))))))))))))))))) [1]
   1'(c_2(c_1(c_2(c_2(c_3(c_0(c_3(c_0(c_1(c_2(c_3(c_3(c_3(c_0(c_0(c_3(c_1(c_1(c_3(x1)))))))))))))))))))) -> 2'(3'(3'(0'(1'(0'(3'(2'(3'(3'(1'(0'(0'(0'(1'(0'(0'(2'(3'(3'(x1)))))))))))))))))))) [1]
   3'(c_0(c_3(c_2(c_1(c_3(c_0(c_3(c_3(c_0(c_3(c_3(c_0(c_3(c_0(c_3(c_1(c_0(c_0(c_1(x1)))))))))))))))))))) -> 3'(3'(3'(3'(2'(3'(0'(1'(0'(0'(0'(3'(3'(1'(3'(3'(3'(1'(1'(2'(x1)))))))))))))))))))) [1]
   1'(c_0(c_3(c_2(c_0(c_1(c_2(c_3(c_0(c_3(c_3(c_0(c_2(c_3(c_3(c_2(c_1(c_1(c_1(c_3(x1)))))))))))))))))))) -> 2'(2'(1'(3'(3'(3'(3'(0'(3'(0'(3'(3'(3'(0'(0'(3'(3'(0'(0'(0'(x1)))))))))))))))))))) [1]
   0'(c_1(c_3(c_1(c_0(c_2(c_0(c_2(c_2(c_2(c_1(c_2(c_0(c_1(c_3(c_3(c_0(c_3(c_0(c_3(x1)))))))))))))))))))) -> 3'(2'(1'(0'(3'(2'(3'(0'(0'(0'(1'(3'(0'(0'(3'(3'(3'(1'(3'(2'(x1)))))))))))))))))))) [1]
   3'(c_3(c_1(c_0(c_1(c_3(c_0(c_0(c_3(c_1(c_2(c_1(c_0(c_0(c_3(c_0(c_1(c_0(c_3(c_1(x1)))))))))))))))))))) -> 1'(3'(3'(3'(3'(2'(3'(2'(2'(0'(3'(1'(0'(0'(1'(3'(0'(3'(3'(1'(x1)))))))))))))))))))) [1]
   3'(c_3(c_3(c_3(c_1(c_1(c_3(c_2(c_3(c_0(c_3(c_3(c_0(c_3(c_2(c_1(c_0(c_0(c_2(c_2(x1)))))))))))))))))))) -> 3'(3'(0'(3'(0'(0'(3'(3'(3'(1'(3'(1'(1'(0'(3'(0'(2'(0'(1'(2'(x1)))))))))))))))))))) [1]
   2'(c_0(c_0(c_2(c_1(c_2(c_1(c_1(c_3(c_0(c_2(c_3(c_2(c_1(c_3(c_3(c_1(c_3(c_2(c_3(x1)))))))))))))))))))) -> 2'(2'(3'(1'(1'(0'(1'(0'(1'(1'(0'(1'(0'(3'(3'(1'(3'(3'(3'(1'(x1)))))))))))))))))))) [1]
   3'(c_2(c_3(c_0(c_1(c_3(c_2(c_2(c_0(c_1(c_1(c_3(c_3(c_3(c_1(c_2(c_3(c_1(c_1(c_0(x1)))))))))))))))))))) -> 0'(0'(0'(0'(3'(2'(3'(1'(1'(1'(0'(1'(0'(0'(3'(3'(0'(2'(3'(1'(x1)))))))))))))))))))) [1]
   2'(c_1(c_1(c_1(c_0(c_1(c_3(c_1(c_0(c_3(c_2(c_3(c_0(c_0(c_0(c_3(c_1(c_1(c_0(c_3(x1)))))))))))))))))))) -> 1'(1'(1'(0'(1'(1'(2'(0'(2'(1'(0'(0'(3'(3'(0'(2'(0'(3'(0'(3'(x1)))))))))))))))))))) [1]
   2'(c_1(c_3(c_1(c_3(c_3(c_1(c_1(c_1(c_1(c_1(c_1(c_0(c_2(c_3(c_2(c_3(c_0(c_0(c_3(x1)))))))))))))))))))) -> 1'(3'(0'(0'(2'(0'(0'(2'(0'(3'(2'(2'(0'(1'(3'(3'(3'(0'(0'(3'(x1)))))))))))))))))))) [1]
   2'(c_1(c_0(c_3(c_0(c_2(c_0(c_2(c_1(c_3(c_3(c_3(c_1(c_1(c_1(c_0(c_0(c_3(c_3(c_2(x1)))))))))))))))))))) -> 2'(2'(1'(3'(0'(0'(1'(3'(0'(3'(3'(0'(3'(3'(1'(0'(1'(1'(0'(1'(x1)))))))))))))))))))) [1]
   2'(c_3(c_1(c_2(c_0(c_3(c_2(c_0(c_2(c_3(c_3(c_0(c_2(c_0(c_0(c_1(c_0(c_1(c_0(c_3(x1)))))))))))))))))))) -> 0'(3'(1'(3'(0'(3'(3'(0'(1'(0'(0'(3'(2'(0'(0'(0'(3'(3'(2'(3'(x1)))))))))))))))))))) [1]
   3'(c_0(c_3(c_2(c_2(c_2(c_3(c_1(c_3(c_0(c_2(c_1(c_0(c_1(c_0(c_2(c_2(c_3(c_3(c_1(x1)))))))))))))))))))) -> 2'(3'(0'(0'(3'(1'(2'(0'(3'(3'(0'(0'(0'(3'(3'(3'(1'(0'(2'(2'(x1)))))))))))))))))))) [1]
   0'(c_2(c_2(c_2(c_1(c_3(c_2(c_1(c_2(c_1(c_3(c_0(c_2(c_3(c_2(c_1(c_0(c_0(c_1(c_3(x1)))))))))))))))))))) -> 0'(1'(0'(2'(0'(0'(0'(0'(0'(3'(0'(0'(0'(2'(3'(2'(2'(3'(3'(0'(x1)))))))))))))))))))) [1]
   3'(c_2(c_0(c_3(c_3(c_1(c_3(c_2(c_3(c_0(c_3(c_2(c_3(c_1(c_3(c_0(c_2(c_1(c_3(c_0(x1)))))))))))))))))))) -> 3'(3'(3'(0'(2'(3'(3'(0'(2'(0'(3'(3'(3'(3'(1'(0'(0'(1'(3'(0'(x1)))))))))))))))))))) [1]
   0'(c_2(c_1(c_3(c_2(c_0(c_2(c_1(c_0(c_1(c_0(c_3(c_0(c_1(c_1(c_1(c_3(c_3(c_3(c_0(x1)))))))))))))))))))) -> 3'(0'(2'(1'(3'(3'(3'(3'(1'(3'(2'(2'(1'(0'(0'(0'(3'(0'(1'(1'(x1)))))))))))))))))))) [1]
   2'(c_2(c_3(c_2(c_0(c_0(c_3(c_0(c_3(c_3(c_2(c_2(c_2(c_0(c_2(c_3(c_3(c_3(c_3(c_2(x1)))))))))))))))))))) -> 1'(0'(3'(1'(2'(3'(3'(2'(3'(3'(3'(3'(0'(1'(3'(1'(0'(3'(0'(3'(x1)))))))))))))))))))) [1]
   2'(c_2(c_3(c_3(c_0(c_2(c_2(c_0(c_1(c_3(c_1(c_3(c_3(c_0(c_3(c_2(c_2(c_2(c_1(c_2(x1)))))))))))))))))))) -> 2'(0'(0'(0'(3'(0'(3'(1'(3'(2'(0'(0'(1'(1'(3'(0'(0'(3'(2'(3'(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]
   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]
   0'(x0) -> c_0(x0) [0]
   1'(x0) -> c_1(x0) [0]
   2'(x0) -> c_2(x0) [0]
   3'(x0) -> c_3(x0) [0]

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

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

(24)
Obligation:
Runtime Complexity Weighted TRS with Types.
The TRS R consists of the following rules:

   0'(c_1(c_1(c_1(c_0(c_0(c_0(c_0(c_0(c_0(c_3(c_0(c_1(c_0(c_1(c_0(c_2(c_0(c_3(c_1(x1)))))))))))))))))))) -> 1'(0'(2'(1'(3'(0'(1'(0'(2'(3'(0'(0'(3'(3'(0'(1'(0'(0'(1'(0'(x1)))))))))))))))))))) [1]
   2'(c_1(c_1(c_0(c_2(c_3(c_0(c_2(c_3(c_3(c_3(c_2(c_1(c_2(c_3(c_1(c_0(c_2(c_3(c_2(x1)))))))))))))))))))) -> 1'(3'(3'(3'(0'(1'(2'(1'(1'(3'(3'(0'(3'(0'(2'(2'(2'(2'(1'(1'(x1)))))))))))))))))))) [1]
   3'(c_3(c_0(c_2(c_2(c_3(c_3(c_1(c_2(c_2(c_0(c_0(c_3(c_2(c_0(c_2(c_1(c_0(c_3(c_3(x1)))))))))))))))))))) -> 1'(0'(2'(1'(1'(3'(2'(1'(1'(3'(0'(3'(3'(1'(1'(3'(1'(3'(3'(3'(x1)))))))))))))))))))) [1]
   2'(c_3(c_1(c_3(c_3(c_3(c_2(c_0(c_1(c_2(c_0(c_0(c_2(c_3(c_3(c_0(c_0(c_1(c_1(c_2(x1)))))))))))))))))))) -> 0'(2'(0'(2'(1'(3'(3'(0'(2'(1'(0'(3'(2'(3'(0'(2'(2'(1'(3'(3'(x1)))))))))))))))))))) [1]
   0'(c_0(c_1(c_2(c_3(c_0(c_1(c_0(c_3(c_0(c_3(c_1(c_1(c_1(c_0(c_1(c_3(c_3(c_2(c_3(x1)))))))))))))))))))) -> 3'(0'(3'(1'(1'(0'(2'(3'(0'(3'(3'(1'(3'(1'(0'(3'(0'(1'(2'(3'(x1)))))))))))))))))))) [1]
   0'(c_2(c_0(c_3(c_1(c_1(c_3(c_2(c_3(c_3(c_0(c_2(c_2(c_0(c_2(c_3(c_0(c_0(c_2(c_3(x1)))))))))))))))))))) -> 0'(0'(3'(3'(2'(3'(3'(3'(0'(1'(1'(1'(2'(2'(3'(1'(3'(1'(1'(3'(x1)))))))))))))))))))) [1]
   1'(c_1(c_3(c_2(c_1(c_1(c_0(c_0(c_2(c_2(c_3(c_1(c_1(c_1(c_0(c_3(c_3(c_0(c_3(c_3(x1)))))))))))))))))))) -> 0'(2'(2'(3'(3'(0'(2'(0'(0'(0'(1'(0'(2'(3'(3'(0'(3'(0'(1'(3'(x1)))))))))))))))))))) [1]
   2'(c_3(c_2(c_2(c_2(c_3(c_0(c_0(c_3(c_2(c_1(c_0(c_3(c_0(c_2(c_2(c_0(c_0(c_1(c_1(x1)))))))))))))))))))) -> 0'(3'(1'(3'(0'(1'(2'(0'(1'(2'(0'(3'(1'(3'(2'(1'(0'(3'(0'(0'(x1)))))))))))))))))))) [1]
   1'(c_1(c_0(c_2(c_0(c_1(c_3(c_3(c_1(c_1(c_1(c_0(c_1(c_3(c_3(c_3(c_1(c_0(c_1(c_2(x1)))))))))))))))))))) -> 1'(0'(2'(1'(2'(1'(2'(3'(2'(0'(3'(3'(3'(3'(3'(0'(0'(2'(0'(0'(x1)))))))))))))))))))) [1]
   1'(c_3(c_1(c_3(c_1(c_3(c_3(c_1(c_3(c_2(c_3(c_0(c_3(c_2(c_2(c_3(c_0(c_3(c_0(c_3(x1)))))))))))))))))))) -> 0'(3'(2'(3'(3'(3'(0'(0'(0'(1'(0'(3'(1'(2'(3'(2'(3'(0'(0'(3'(x1)))))))))))))))))))) [1]
   0'(c_0(c_1(c_1(c_0(c_1(c_0(c_2(c_3(c_1(c_3(c_3(c_3(c_1(c_2(c_2(c_0(c_0(c_2(c_3(x1)))))))))))))))))))) -> 0'(0'(3'(0'(2'(1'(3'(3'(1'(3'(2'(3'(3'(3'(2'(0'(0'(1'(0'(2'(x1)))))))))))))))))))) [1]
   1'(c_0(c_3(c_0(c_0(c_1(c_1(c_1(c_3(c_3(c_0(c_1(c_0(c_0(c_3(c_1(c_1(c_3(c_2(c_3(x1)))))))))))))))))))) -> 3'(2'(3'(3'(3'(3'(3'(0'(1'(3'(0'(3'(1'(2'(0'(3'(3'(3'(1'(2'(x1)))))))))))))))))))) [1]
   2'(c_2(c_3(c_3(c_0(c_2(c_3(c_0(c_0(c_1(c_1(c_0(c_0(c_0(c_2(c_2(c_2(c_3(c_1(c_2(x1)))))))))))))))))))) -> 0'(3'(0'(3'(2'(0'(1'(0'(1'(2'(0'(3'(3'(0'(2'(2'(3'(0'(3'(2'(x1)))))))))))))))))))) [1]
   2'(c_2(c_0(c_1(c_3(c_3(c_3(c_3(c_1(c_1(c_0(c_3(c_1(c_2(c_0(c_0(c_3(c_1(c_2(c_3(x1)))))))))))))))))))) -> 0'(3'(3'(0'(3'(3'(2'(3'(0'(1'(0'(1'(3'(3'(3'(2'(3'(2'(1'(3'(x1)))))))))))))))))))) [1]
   1'(c_1(c_3(c_3(c_0(c_1(c_3(c_0(c_2(c_1(c_2(c_0(c_2(c_1(c_1(c_1(c_0(c_2(c_2(c_3(x1)))))))))))))))))))) -> 1'(3'(3'(3'(2'(1'(3'(3'(0'(2'(0'(3'(1'(2'(0'(3'(0'(3'(2'(0'(x1)))))))))))))))))))) [1]
   1'(c_1(c_0(c_1(c_1(c_3(c_2(c_0(c_3(c_0(c_2(c_3(c_0(c_0(c_0(c_0(c_2(c_0(c_2(c_3(x1)))))))))))))))))))) -> 1'(2'(3'(0'(3'(0'(2'(1'(0'(2'(0'(3'(1'(3'(0'(3'(3'(2'(2'(3'(x1)))))))))))))))))))) [1]
   0'(c_1(c_0(c_1(c_1(c_3(c_3(c_0(c_0(c_1(c_3(c_1(c_3(c_0(c_2(c_3(c_0(c_3(c_2(c_3(x1)))))))))))))))))))) -> 1'(2'(3'(3'(0'(1'(3'(3'(0'(1'(0'(3'(3'(3'(0'(2'(0'(2'(1'(3'(x1)))))))))))))))))))) [1]
   2'(c_1(c_3(c_1(c_3(c_3(c_1(c_2(c_2(c_2(c_0(c_1(c_3(c_0(c_3(c_3(c_2(c_2(c_0(c_3(x1)))))))))))))))))))) -> 2'(2'(0'(1'(3'(3'(1'(2'(0'(0'(0'(3'(3'(0'(1'(3'(1'(3'(0'(3'(x1)))))))))))))))))))) [1]
   0'(c_3(c_0(c_2(c_0(c_1(c_3(c_0(c_1(c_2(c_3(c_2(c_1(c_1(c_0(c_0(c_3(c_3(c_2(c_3(x1)))))))))))))))))))) -> 0'(3'(3'(2'(2'(3'(2'(3'(2'(0'(0'(2'(3'(3'(3'(3'(3'(0'(1'(0'(x1)))))))))))))))))))) [1]
   0'(c_3(c_2(c_2(c_2(c_3(c_2(c_2(c_3(c_1(c_3(c_0(c_3(c_2(c_3(c_0(c_3(c_3(c_1(c_3(x1)))))))))))))))))))) -> 3'(0'(3'(3'(3'(3'(3'(2'(3'(3'(3'(1'(0'(0'(3'(2'(0'(2'(2'(1'(x1)))))))))))))))))))) [1]
   3'(c_3(c_1(c_0(c_3(c_1(c_0(c_3(c_1(c_1(c_3(c_3(c_1(c_3(c_0(c_2(c_2(c_3(c_1(c_1(x1)))))))))))))))))))) -> 0'(0'(3'(0'(2'(1'(3'(3'(0'(0'(3'(2'(0'(0'(3'(0'(2'(2'(0'(0'(x1)))))))))))))))))))) [1]
   2'(c_1(c_3(c_1(c_2(c_2(c_0(c_0(c_2(c_2(c_2(c_2(c_3(c_0(c_3(c_0(c_1(c_3(c_1(c_3(x1)))))))))))))))))))) -> 3'(0'(2'(0'(3'(3'(2'(2'(3'(3'(0'(2'(3'(2'(1'(0'(0'(2'(1'(3'(x1)))))))))))))))))))) [1]
   3'(c_3(c_2(c_1(c_3(c_1(c_3(c_0(c_2(c_0(c_3(c_1(c_2(c_1(c_3(c_2(c_1(c_3(c_2(c_3(x1)))))))))))))))))))) -> 2'(3'(3'(2'(2'(2'(0'(3'(1'(2'(3'(3'(3'(3'(0'(1'(3'(2'(0'(3'(x1)))))))))))))))))))) [1]
   3'(c_0(c_1(c_0(c_1(c_2(c_3(c_2(c_1(c_1(c_0(c_1(c_1(c_3(c_0(c_3(c_3(c_2(c_1(c_3(x1)))))))))))))))))))) -> 0'(3'(0'(0'(2'(3'(0'(2'(2'(1'(0'(1'(2'(0'(1'(3'(1'(3'(1'(3'(x1)))))))))))))))))))) [1]
   3'(c_3(c_0(c_3(c_3(c_0(c_1(c_2(c_1(c_1(c_0(c_3(c_3(c_0(c_2(c_0(c_0(c_2(c_2(c_1(x1)))))))))))))))))))) -> 3'(3'(3'(3'(1'(3'(3'(1'(1'(3'(1'(2'(3'(3'(3'(2'(2'(0'(2'(1'(x1)))))))))))))))))))) [1]
   3'(c_0(c_3(c_3(c_3(c_3(c_1(c_3(c_2(c_0(c_1(c_0(c_1(c_0(c_3(c_3(c_0(c_0(c_1(c_1(x1)))))))))))))))))))) -> 3'(3'(2'(3'(3'(3'(2'(3'(3'(0'(1'(1'(0'(3'(3'(3'(0'(3'(3'(0'(x1)))))))))))))))))))) [1]
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   2'(c_0(c_1(c_0(c_2(c_2(c_0(c_3(c_0(c_2(c_2(c_3(c_3(c_2(c_1(c_3(c_0(c_2(c_3(c_1(x1)))))))))))))))))))) -> 2'(3'(3'(0'(3'(0'(0'(2'(3'(3'(1'(1'(3'(3'(0'(1'(2'(3'(2'(0'(x1)))))))))))))))))))) [1]
   1'(c_2(c_1(c_2(c_2(c_3(c_0(c_3(c_0(c_1(c_2(c_3(c_3(c_3(c_0(c_0(c_3(c_1(c_1(c_3(x1)))))))))))))))))))) -> 2'(3'(3'(0'(1'(0'(3'(2'(3'(3'(1'(0'(0'(0'(1'(0'(0'(2'(3'(3'(x1)))))))))))))))))))) [1]
   3'(c_0(c_3(c_2(c_1(c_3(c_0(c_3(c_3(c_0(c_3(c_3(c_0(c_3(c_0(c_3(c_1(c_0(c_0(c_1(x1)))))))))))))))))))) -> 3'(3'(3'(3'(2'(3'(0'(1'(0'(0'(0'(3'(3'(1'(3'(3'(3'(1'(1'(2'(x1)))))))))))))))))))) [1]
   1'(c_0(c_3(c_2(c_0(c_1(c_2(c_3(c_0(c_3(c_3(c_0(c_2(c_3(c_3(c_2(c_1(c_1(c_1(c_3(x1)))))))))))))))))))) -> 2'(2'(1'(3'(3'(3'(3'(0'(3'(0'(3'(3'(3'(0'(0'(3'(3'(0'(0'(0'(x1)))))))))))))))))))) [1]
   0'(c_1(c_3(c_1(c_0(c_2(c_0(c_2(c_2(c_2(c_1(c_2(c_0(c_1(c_3(c_3(c_0(c_3(c_0(c_3(x1)))))))))))))))))))) -> 3'(2'(1'(0'(3'(2'(3'(0'(0'(0'(1'(3'(0'(0'(3'(3'(3'(1'(3'(2'(x1)))))))))))))))))))) [1]
   3'(c_3(c_1(c_0(c_1(c_3(c_0(c_0(c_3(c_1(c_2(c_1(c_0(c_0(c_3(c_0(c_1(c_0(c_3(c_1(x1)))))))))))))))))))) -> 1'(3'(3'(3'(3'(2'(3'(2'(2'(0'(3'(1'(0'(0'(1'(3'(0'(3'(3'(1'(x1)))))))))))))))))))) [1]
   3'(c_3(c_3(c_3(c_1(c_1(c_3(c_2(c_3(c_0(c_3(c_3(c_0(c_3(c_2(c_1(c_0(c_0(c_2(c_2(x1)))))))))))))))))))) -> 3'(3'(0'(3'(0'(0'(3'(3'(3'(1'(3'(1'(1'(0'(3'(0'(2'(0'(1'(2'(x1)))))))))))))))))))) [1]
   2'(c_0(c_0(c_2(c_1(c_2(c_1(c_1(c_3(c_0(c_2(c_3(c_2(c_1(c_3(c_3(c_1(c_3(c_2(c_3(x1)))))))))))))))))))) -> 2'(2'(3'(1'(1'(0'(1'(0'(1'(1'(0'(1'(0'(3'(3'(1'(3'(3'(3'(1'(x1)))))))))))))))))))) [1]
   3'(c_2(c_3(c_0(c_1(c_3(c_2(c_2(c_0(c_1(c_1(c_3(c_3(c_3(c_1(c_2(c_3(c_1(c_1(c_0(x1)))))))))))))))))))) -> 0'(0'(0'(0'(3'(2'(3'(1'(1'(1'(0'(1'(0'(0'(3'(3'(0'(2'(3'(1'(x1)))))))))))))))))))) [1]
   2'(c_1(c_1(c_1(c_0(c_1(c_3(c_1(c_0(c_3(c_2(c_3(c_0(c_0(c_0(c_3(c_1(c_1(c_0(c_3(x1)))))))))))))))))))) -> 1'(1'(1'(0'(1'(1'(2'(0'(2'(1'(0'(0'(3'(3'(0'(2'(0'(3'(0'(3'(x1)))))))))))))))))))) [1]
   2'(c_1(c_3(c_1(c_3(c_3(c_1(c_1(c_1(c_1(c_1(c_1(c_0(c_2(c_3(c_2(c_3(c_0(c_0(c_3(x1)))))))))))))))))))) -> 1'(3'(0'(0'(2'(0'(0'(2'(0'(3'(2'(2'(0'(1'(3'(3'(3'(0'(0'(3'(x1)))))))))))))))))))) [1]
   2'(c_1(c_0(c_3(c_0(c_2(c_0(c_2(c_1(c_3(c_3(c_3(c_1(c_1(c_1(c_0(c_0(c_3(c_3(c_2(x1)))))))))))))))))))) -> 2'(2'(1'(3'(0'(0'(1'(3'(0'(3'(3'(0'(3'(3'(1'(0'(1'(1'(0'(1'(x1)))))))))))))))))))) [1]
   2'(c_3(c_1(c_2(c_0(c_3(c_2(c_0(c_2(c_3(c_3(c_0(c_2(c_0(c_0(c_1(c_0(c_1(c_0(c_3(x1)))))))))))))))))))) -> 0'(3'(1'(3'(0'(3'(3'(0'(1'(0'(0'(3'(2'(0'(0'(0'(3'(3'(2'(3'(x1)))))))))))))))))))) [1]
   3'(c_0(c_3(c_2(c_2(c_2(c_3(c_1(c_3(c_0(c_2(c_1(c_0(c_1(c_0(c_2(c_2(c_3(c_3(c_1(x1)))))))))))))))))))) -> 2'(3'(0'(0'(3'(1'(2'(0'(3'(3'(0'(0'(0'(3'(3'(3'(1'(0'(2'(2'(x1)))))))))))))))))))) [1]
   0'(c_2(c_2(c_2(c_1(c_3(c_2(c_1(c_2(c_1(c_3(c_0(c_2(c_3(c_2(c_1(c_0(c_0(c_1(c_3(x1)))))))))))))))))))) -> 0'(1'(0'(2'(0'(0'(0'(0'(0'(3'(0'(0'(0'(2'(3'(2'(2'(3'(3'(0'(x1)))))))))))))))))))) [1]
   3'(c_2(c_0(c_3(c_3(c_1(c_3(c_2(c_3(c_0(c_3(c_2(c_3(c_1(c_3(c_0(c_2(c_1(c_3(c_0(x1)))))))))))))))))))) -> 3'(3'(3'(0'(2'(3'(3'(0'(2'(0'(3'(3'(3'(3'(1'(0'(0'(1'(3'(0'(x1)))))))))))))))))))) [1]
   0'(c_2(c_1(c_3(c_2(c_0(c_2(c_1(c_0(c_1(c_0(c_3(c_0(c_1(c_1(c_1(c_3(c_3(c_3(c_0(x1)))))))))))))))))))) -> 3'(0'(2'(1'(3'(3'(3'(3'(1'(3'(2'(2'(1'(0'(0'(0'(3'(0'(1'(1'(x1)))))))))))))))))))) [1]
   2'(c_2(c_3(c_2(c_0(c_0(c_3(c_0(c_3(c_3(c_2(c_2(c_2(c_0(c_2(c_3(c_3(c_3(c_3(c_2(x1)))))))))))))))))))) -> 1'(0'(3'(1'(2'(3'(3'(2'(3'(3'(3'(3'(0'(1'(3'(1'(0'(3'(0'(3'(x1)))))))))))))))))))) [1]
   2'(c_2(c_3(c_3(c_0(c_2(c_2(c_0(c_1(c_3(c_1(c_3(c_3(c_0(c_3(c_2(c_2(c_2(c_1(c_2(x1)))))))))))))))))))) -> 2'(0'(0'(0'(3'(0'(3'(1'(3'(2'(0'(0'(1'(1'(3'(0'(0'(3'(2'(3'(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]
   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]
   0'(x0) -> c_0(x0) [0]
   1'(x0) -> c_1(x0) [0]
   2'(x0) -> c_2(x0) [0]
   3'(x0) -> c_3(x0) [0]

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

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

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

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

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

(c) The following functions are completely defined:

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

And the following fresh constants:    const, const1

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

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

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

   0'(c_1(c_1(c_1(c_0(c_0(c_0(c_0(c_0(c_0(c_3(c_0(c_1(c_0(c_1(c_0(c_2(c_0(c_3(c_1(x1)))))))))))))))))))) -> 1'(0'(2'(1'(3'(0'(1'(0'(2'(3'(0'(0'(3'(3'(0'(1'(0'(0'(1'(0'(x1)))))))))))))))))))) [1]
   2'(c_1(c_1(c_0(c_2(c_3(c_0(c_2(c_3(c_3(c_3(c_2(c_1(c_2(c_3(c_1(c_0(c_2(c_3(c_2(x1)))))))))))))))))))) -> 1'(3'(3'(3'(0'(1'(2'(1'(1'(3'(3'(0'(3'(0'(2'(2'(2'(2'(1'(1'(x1)))))))))))))))))))) [1]
   3'(c_3(c_0(c_2(c_2(c_3(c_3(c_1(c_2(c_2(c_0(c_0(c_3(c_2(c_0(c_2(c_1(c_0(c_3(c_3(x1)))))))))))))))))))) -> 1'(0'(2'(1'(1'(3'(2'(1'(1'(3'(0'(3'(3'(1'(1'(3'(1'(3'(3'(3'(x1)))))))))))))))))))) [1]
   2'(c_3(c_1(c_3(c_3(c_3(c_2(c_0(c_1(c_2(c_0(c_0(c_2(c_3(c_3(c_0(c_0(c_1(c_1(c_2(x1)))))))))))))))))))) -> 0'(2'(0'(2'(1'(3'(3'(0'(2'(1'(0'(3'(2'(3'(0'(2'(2'(1'(3'(3'(x1)))))))))))))))))))) [1]
   0'(c_0(c_1(c_2(c_3(c_0(c_1(c_0(c_3(c_0(c_3(c_1(c_1(c_1(c_0(c_1(c_3(c_3(c_2(c_3(x1)))))))))))))))))))) -> 3'(0'(3'(1'(1'(0'(2'(3'(0'(3'(3'(1'(3'(1'(0'(3'(0'(1'(2'(3'(x1)))))))))))))))))))) [1]
   0'(c_2(c_0(c_3(c_1(c_1(c_3(c_2(c_3(c_3(c_0(c_2(c_2(c_0(c_2(c_3(c_0(c_0(c_2(c_3(x1)))))))))))))))))))) -> 0'(0'(3'(3'(2'(3'(3'(3'(0'(1'(1'(1'(2'(2'(3'(1'(3'(1'(1'(3'(x1)))))))))))))))))))) [1]
   1'(c_1(c_3(c_2(c_1(c_1(c_0(c_0(c_2(c_2(c_3(c_1(c_1(c_1(c_0(c_3(c_3(c_0(c_3(c_3(x1)))))))))))))))))))) -> 0'(2'(2'(3'(3'(0'(2'(0'(0'(0'(1'(0'(2'(3'(3'(0'(3'(0'(1'(3'(x1)))))))))))))))))))) [1]
   2'(c_3(c_2(c_2(c_2(c_3(c_0(c_0(c_3(c_2(c_1(c_0(c_3(c_0(c_2(c_2(c_0(c_0(c_1(c_1(x1)))))))))))))))))))) -> 0'(3'(1'(3'(0'(1'(2'(0'(1'(2'(0'(3'(1'(3'(2'(1'(0'(3'(0'(0'(x1)))))))))))))))))))) [1]
   1'(c_1(c_0(c_2(c_0(c_1(c_3(c_3(c_1(c_1(c_1(c_0(c_1(c_3(c_3(c_3(c_1(c_0(c_1(c_2(x1)))))))))))))))))))) -> 1'(0'(2'(1'(2'(1'(2'(3'(2'(0'(3'(3'(3'(3'(3'(0'(0'(2'(0'(0'(x1)))))))))))))))))))) [1]
   1'(c_3(c_1(c_3(c_1(c_3(c_3(c_1(c_3(c_2(c_3(c_0(c_3(c_2(c_2(c_3(c_0(c_3(c_0(c_3(x1)))))))))))))))))))) -> 0'(3'(2'(3'(3'(3'(0'(0'(0'(1'(0'(3'(1'(2'(3'(2'(3'(0'(0'(3'(x1)))))))))))))))))))) [1]
   0'(c_0(c_1(c_1(c_0(c_1(c_0(c_2(c_3(c_1(c_3(c_3(c_3(c_1(c_2(c_2(c_0(c_0(c_2(c_3(x1)))))))))))))))))))) -> 0'(0'(3'(0'(2'(1'(3'(3'(1'(3'(2'(3'(3'(3'(2'(0'(0'(1'(0'(2'(x1)))))))))))))))))))) [1]
   1'(c_0(c_3(c_0(c_0(c_1(c_1(c_1(c_3(c_3(c_0(c_1(c_0(c_0(c_3(c_1(c_1(c_3(c_2(c_3(x1)))))))))))))))))))) -> 3'(2'(3'(3'(3'(3'(3'(0'(1'(3'(0'(3'(1'(2'(0'(3'(3'(3'(1'(2'(x1)))))))))))))))))))) [1]
   2'(c_2(c_3(c_3(c_0(c_2(c_3(c_0(c_0(c_1(c_1(c_0(c_0(c_0(c_2(c_2(c_2(c_3(c_1(c_2(x1)))))))))))))))))))) -> 0'(3'(0'(3'(2'(0'(1'(0'(1'(2'(0'(3'(3'(0'(2'(2'(3'(0'(3'(2'(x1)))))))))))))))))))) [1]
   2'(c_2(c_0(c_1(c_3(c_3(c_3(c_3(c_1(c_1(c_0(c_3(c_1(c_2(c_0(c_0(c_3(c_1(c_2(c_3(x1)))))))))))))))))))) -> 0'(3'(3'(0'(3'(3'(2'(3'(0'(1'(0'(1'(3'(3'(3'(2'(3'(2'(1'(3'(x1)))))))))))))))))))) [1]
   1'(c_1(c_3(c_3(c_0(c_1(c_3(c_0(c_2(c_1(c_2(c_0(c_2(c_1(c_1(c_1(c_0(c_2(c_2(c_3(x1)))))))))))))))))))) -> 1'(3'(3'(3'(2'(1'(3'(3'(0'(2'(0'(3'(1'(2'(0'(3'(0'(3'(2'(0'(x1)))))))))))))))))))) [1]
   1'(c_1(c_0(c_1(c_1(c_3(c_2(c_0(c_3(c_0(c_2(c_3(c_0(c_0(c_0(c_0(c_2(c_0(c_2(c_3(x1)))))))))))))))))))) -> 1'(2'(3'(0'(3'(0'(2'(1'(0'(2'(0'(3'(1'(3'(0'(3'(3'(2'(2'(3'(x1)))))))))))))))))))) [1]
   0'(c_1(c_0(c_1(c_1(c_3(c_3(c_0(c_0(c_1(c_3(c_1(c_3(c_0(c_2(c_3(c_0(c_3(c_2(c_3(x1)))))))))))))))))))) -> 1'(2'(3'(3'(0'(1'(3'(3'(0'(1'(0'(3'(3'(3'(0'(2'(0'(2'(1'(3'(x1)))))))))))))))))))) [1]
   2'(c_1(c_3(c_1(c_3(c_3(c_1(c_2(c_2(c_2(c_0(c_1(c_3(c_0(c_3(c_3(c_2(c_2(c_0(c_3(x1)))))))))))))))))))) -> 2'(2'(0'(1'(3'(3'(1'(2'(0'(0'(0'(3'(3'(0'(1'(3'(1'(3'(0'(3'(x1)))))))))))))))))))) [1]
   0'(c_3(c_0(c_2(c_0(c_1(c_3(c_0(c_1(c_2(c_3(c_2(c_1(c_1(c_0(c_0(c_3(c_3(c_2(c_3(x1)))))))))))))))))))) -> 0'(3'(3'(2'(2'(3'(2'(3'(2'(0'(0'(2'(3'(3'(3'(3'(3'(0'(1'(0'(x1)))))))))))))))))))) [1]
   0'(c_3(c_2(c_2(c_2(c_3(c_2(c_2(c_3(c_1(c_3(c_0(c_3(c_2(c_3(c_0(c_3(c_3(c_1(c_3(x1)))))))))))))))))))) -> 3'(0'(3'(3'(3'(3'(3'(2'(3'(3'(3'(1'(0'(0'(3'(2'(0'(2'(2'(1'(x1)))))))))))))))))))) [1]
   3'(c_3(c_1(c_0(c_3(c_1(c_0(c_3(c_1(c_1(c_3(c_3(c_1(c_3(c_0(c_2(c_2(c_3(c_1(c_1(x1)))))))))))))))))))) -> 0'(0'(3'(0'(2'(1'(3'(3'(0'(0'(3'(2'(0'(0'(3'(0'(2'(2'(0'(0'(x1)))))))))))))))))))) [1]
   2'(c_1(c_3(c_1(c_2(c_2(c_0(c_0(c_2(c_2(c_2(c_2(c_3(c_0(c_3(c_0(c_1(c_3(c_1(c_3(x1)))))))))))))))))))) -> 3'(0'(2'(0'(3'(3'(2'(2'(3'(3'(0'(2'(3'(2'(1'(0'(0'(2'(1'(3'(x1)))))))))))))))))))) [1]
   3'(c_3(c_2(c_1(c_3(c_1(c_3(c_0(c_2(c_0(c_3(c_1(c_2(c_1(c_3(c_2(c_1(c_3(c_2(c_3(x1)))))))))))))))))))) -> 2'(3'(3'(2'(2'(2'(0'(3'(1'(2'(3'(3'(3'(3'(0'(1'(3'(2'(0'(3'(x1)))))))))))))))))))) [1]
   3'(c_0(c_1(c_0(c_1(c_2(c_3(c_2(c_1(c_1(c_0(c_1(c_1(c_3(c_0(c_3(c_3(c_2(c_1(c_3(x1)))))))))))))))))))) -> 0'(3'(0'(0'(2'(3'(0'(2'(2'(1'(0'(1'(2'(0'(1'(3'(1'(3'(1'(3'(x1)))))))))))))))))))) [1]
   3'(c_3(c_0(c_3(c_3(c_0(c_1(c_2(c_1(c_1(c_0(c_3(c_3(c_0(c_2(c_0(c_0(c_2(c_2(c_1(x1)))))))))))))))))))) -> 3'(3'(3'(3'(1'(3'(3'(1'(1'(3'(1'(2'(3'(3'(3'(2'(2'(0'(2'(1'(x1)))))))))))))))))))) [1]
   3'(c_0(c_3(c_3(c_3(c_3(c_1(c_3(c_2(c_0(c_1(c_0(c_1(c_0(c_3(c_3(c_0(c_0(c_1(c_1(x1)))))))))))))))))))) -> 3'(3'(2'(3'(3'(3'(2'(3'(3'(0'(1'(1'(0'(3'(3'(3'(0'(3'(3'(0'(x1)))))))))))))))))))) [1]
   3'(c_1(c_0(c_1(c_1(c_1(c_3(c_1(c_0(c_0(c_0(c_2(c_1(c_0(c_1(c_2(c_0(c_0(c_0(c_3(x1)))))))))))))))))))) -> 0'(3'(0'(2'(2'(0'(1'(0'(1'(0'(0'(2'(2'(3'(2'(3'(0'(1'(0'(3'(x1)))))))))))))))))))) [1]
   3'(c_3(c_0(c_2(c_3(c_3(c_0(c_1(c_3(c_0(c_0(c_1(c_2(c_2(c_2(c_2(c_3(c_3(c_2(c_1(x1)))))))))))))))))))) -> 3'(1'(3'(3'(1'(0'(3'(0'(3'(0'(2'(3'(3'(1'(0'(1'(0'(3'(1'(0'(x1)))))))))))))))))))) [1]
   1'(c_1(c_1(c_3(c_2(c_3(c_3(c_3(c_1(c_1(c_0(c_1(c_0(c_0(c_0(c_0(c_0(c_0(c_2(c_3(x1)))))))))))))))))))) -> 1'(3'(0'(0'(0'(3'(1'(0'(1'(1'(3'(1'(0'(0'(3'(1'(2'(0'(3'(3'(x1)))))))))))))))))))) [1]
   1'(c_1(c_1(c_3(c_0(c_1(c_0(c_1(c_2(c_2(c_1(c_0(c_2(c_2(c_2(c_3(c_1(c_0(c_3(c_3(x1)))))))))))))))))))) -> 2'(2'(0'(0'(3'(3'(1'(2'(1'(3'(3'(0'(2'(3'(2'(2'(1'(2'(3'(3'(x1)))))))))))))))))))) [1]
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   0'(c_1(c_3(c_1(c_0(c_2(c_0(c_2(c_2(c_2(c_1(c_2(c_0(c_1(c_3(c_3(c_0(c_3(c_0(c_3(x1)))))))))))))))))))) -> 3'(2'(1'(0'(3'(2'(3'(0'(0'(0'(1'(3'(0'(0'(3'(3'(3'(1'(3'(2'(x1)))))))))))))))))))) [1]
   3'(c_3(c_1(c_0(c_1(c_3(c_0(c_0(c_3(c_1(c_2(c_1(c_0(c_0(c_3(c_0(c_1(c_0(c_3(c_1(x1)))))))))))))))))))) -> 1'(3'(3'(3'(3'(2'(3'(2'(2'(0'(3'(1'(0'(0'(1'(3'(0'(3'(3'(1'(x1)))))))))))))))))))) [1]
   3'(c_3(c_3(c_3(c_1(c_1(c_3(c_2(c_3(c_0(c_3(c_3(c_0(c_3(c_2(c_1(c_0(c_0(c_2(c_2(x1)))))))))))))))))))) -> 3'(3'(0'(3'(0'(0'(3'(3'(3'(1'(3'(1'(1'(0'(3'(0'(2'(0'(1'(2'(x1)))))))))))))))))))) [1]
   2'(c_0(c_0(c_2(c_1(c_2(c_1(c_1(c_3(c_0(c_2(c_3(c_2(c_1(c_3(c_3(c_1(c_3(c_2(c_3(x1)))))))))))))))))))) -> 2'(2'(3'(1'(1'(0'(1'(0'(1'(1'(0'(1'(0'(3'(3'(1'(3'(3'(3'(1'(x1)))))))))))))))))))) [1]
   3'(c_2(c_3(c_0(c_1(c_3(c_2(c_2(c_0(c_1(c_1(c_3(c_3(c_3(c_1(c_2(c_3(c_1(c_1(c_0(x1)))))))))))))))))))) -> 0'(0'(0'(0'(3'(2'(3'(1'(1'(1'(0'(1'(0'(0'(3'(3'(0'(2'(3'(1'(x1)))))))))))))))))))) [1]
   2'(c_1(c_1(c_1(c_0(c_1(c_3(c_1(c_0(c_3(c_2(c_3(c_0(c_0(c_0(c_3(c_1(c_1(c_0(c_3(x1)))))))))))))))))))) -> 1'(1'(1'(0'(1'(1'(2'(0'(2'(1'(0'(0'(3'(3'(0'(2'(0'(3'(0'(3'(x1)))))))))))))))))))) [1]
   2'(c_1(c_3(c_1(c_3(c_3(c_1(c_1(c_1(c_1(c_1(c_1(c_0(c_2(c_3(c_2(c_3(c_0(c_0(c_3(x1)))))))))))))))))))) -> 1'(3'(0'(0'(2'(0'(0'(2'(0'(3'(2'(2'(0'(1'(3'(3'(3'(0'(0'(3'(x1)))))))))))))))))))) [1]
   2'(c_1(c_0(c_3(c_0(c_2(c_0(c_2(c_1(c_3(c_3(c_3(c_1(c_1(c_1(c_0(c_0(c_3(c_3(c_2(x1)))))))))))))))))))) -> 2'(2'(1'(3'(0'(0'(1'(3'(0'(3'(3'(0'(3'(3'(1'(0'(1'(1'(0'(1'(x1)))))))))))))))))))) [1]
   2'(c_3(c_1(c_2(c_0(c_3(c_2(c_0(c_2(c_3(c_3(c_0(c_2(c_0(c_0(c_1(c_0(c_1(c_0(c_3(x1)))))))))))))))))))) -> 0'(3'(1'(3'(0'(3'(3'(0'(1'(0'(0'(3'(2'(0'(0'(0'(3'(3'(2'(3'(x1)))))))))))))))))))) [1]
   3'(c_0(c_3(c_2(c_2(c_2(c_3(c_1(c_3(c_0(c_2(c_1(c_0(c_1(c_0(c_2(c_2(c_3(c_3(c_1(x1)))))))))))))))))))) -> 2'(3'(0'(0'(3'(1'(2'(0'(3'(3'(0'(0'(0'(3'(3'(3'(1'(0'(2'(2'(x1)))))))))))))))))))) [1]
   0'(c_2(c_2(c_2(c_1(c_3(c_2(c_1(c_2(c_1(c_3(c_0(c_2(c_3(c_2(c_1(c_0(c_0(c_1(c_3(x1)))))))))))))))))))) -> 0'(1'(0'(2'(0'(0'(0'(0'(0'(3'(0'(0'(0'(2'(3'(2'(2'(3'(3'(0'(x1)))))))))))))))))))) [1]
   3'(c_2(c_0(c_3(c_3(c_1(c_3(c_2(c_3(c_0(c_3(c_2(c_3(c_1(c_3(c_0(c_2(c_1(c_3(c_0(x1)))))))))))))))))))) -> 3'(3'(3'(0'(2'(3'(3'(0'(2'(0'(3'(3'(3'(3'(1'(0'(0'(1'(3'(0'(x1)))))))))))))))))))) [1]
   0'(c_2(c_1(c_3(c_2(c_0(c_2(c_1(c_0(c_1(c_0(c_3(c_0(c_1(c_1(c_1(c_3(c_3(c_3(c_0(x1)))))))))))))))))))) -> 3'(0'(2'(1'(3'(3'(3'(3'(1'(3'(2'(2'(1'(0'(0'(0'(3'(0'(1'(1'(x1)))))))))))))))))))) [1]
   2'(c_2(c_3(c_2(c_0(c_0(c_3(c_0(c_3(c_3(c_2(c_2(c_2(c_0(c_2(c_3(c_3(c_3(c_3(c_2(x1)))))))))))))))))))) -> 1'(0'(3'(1'(2'(3'(3'(2'(3'(3'(3'(3'(0'(1'(3'(1'(0'(3'(0'(3'(x1)))))))))))))))))))) [1]
   2'(c_2(c_3(c_3(c_0(c_2(c_2(c_0(c_1(c_3(c_1(c_3(c_3(c_0(c_3(c_2(c_2(c_2(c_1(c_2(x1)))))))))))))))))))) -> 2'(0'(0'(0'(3'(0'(3'(1'(3'(2'(0'(0'(1'(1'(3'(0'(0'(3'(2'(3'(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]
   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]
   0'(x0) -> c_0(x0) [0]
   1'(x0) -> c_1(x0) [0]
   2'(x0) -> c_2(x0) [0]
   3'(x0) -> c_3(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]
   0'(v0) -> const [0]
   1'(v0) -> const [0]
   2'(v0) -> const [0]
   3'(v0) -> const [0]

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

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

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

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

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

   0'(c_1(c_1(c_1(c_0(c_0(c_0(c_0(c_0(c_0(c_3(c_0(c_1(c_0(c_1(c_0(c_2(c_0(c_3(c_1(x1)))))))))))))))))))) -> 1'(0'(2'(1'(3'(0'(1'(0'(2'(3'(0'(0'(3'(3'(0'(1'(0'(0'(1'(0'(x1)))))))))))))))))))) [1]
   2'(c_1(c_1(c_0(c_2(c_3(c_0(c_2(c_3(c_3(c_3(c_2(c_1(c_2(c_3(c_1(c_0(c_2(c_3(c_2(c_1(c_3(c_2(c_1(c_1(c_0(c_0(c_2(c_2(c_3(c_1(c_1(c_1(c_0(c_3(c_3(c_0(c_3(c_3(x126))))))))))))))))))))))))))))))))))))))) -> 1'(3'(3'(3'(0'(1'(2'(1'(1'(3'(3'(0'(3'(0'(2'(2'(2'(2'(1'(0'(2'(2'(3'(3'(0'(2'(0'(0'(0'(1'(0'(2'(3'(3'(0'(3'(0'(1'(3'(x126))))))))))))))))))))))))))))))))))))))) [2]
   2'(c_1(c_1(c_0(c_2(c_3(c_0(c_2(c_3(c_3(c_3(c_2(c_1(c_2(c_3(c_1(c_0(c_2(c_3(c_2(c_1(c_0(c_2(c_0(c_1(c_3(c_3(c_1(c_1(c_1(c_0(c_1(c_3(c_3(c_3(c_1(c_0(c_1(c_2(x127))))))))))))))))))))))))))))))))))))))) -> 1'(3'(3'(3'(0'(1'(2'(1'(1'(3'(3'(0'(3'(0'(2'(2'(2'(2'(1'(1'(0'(2'(1'(2'(1'(2'(3'(2'(0'(3'(3'(3'(3'(3'(0'(0'(2'(0'(0'(x127))))))))))))))))))))))))))))))))))))))) [2]
   2'(c_1(c_1(c_0(c_2(c_3(c_0(c_2(c_3(c_3(c_3(c_2(c_1(c_2(c_3(c_1(c_0(c_2(c_3(c_2(c_3(c_1(c_3(c_1(c_3(c_3(c_1(c_3(c_2(c_3(c_0(c_3(c_2(c_2(c_3(c_0(c_3(c_0(c_3(x128))))))))))))))))))))))))))))))))))))))) -> 1'(3'(3'(3'(0'(1'(2'(1'(1'(3'(3'(0'(3'(0'(2'(2'(2'(2'(1'(0'(3'(2'(3'(3'(3'(0'(0'(0'(1'(0'(3'(1'(2'(3'(2'(3'(0'(0'(3'(x128))))))))))))))))))))))))))))))))))))))) [2]
   2'(c_1(c_1(c_0(c_2(c_3(c_0(c_2(c_3(c_3(c_3(c_2(c_1(c_2(c_3(c_1(c_0(c_2(c_3(c_2(c_0(c_3(c_0(c_0(c_1(c_1(c_1(c_3(c_3(c_0(c_1(c_0(c_0(c_3(c_1(c_1(c_3(c_2(c_3(x129))))))))))))))))))))))))))))))))))))))) -> 1'(3'(3'(3'(0'(1'(2'(1'(1'(3'(3'(0'(3'(0'(2'(2'(2'(2'(1'(3'(2'(3'(3'(3'(3'(3'(0'(1'(3'(0'(3'(1'(2'(0'(3'(3'(3'(1'(2'(x129))))))))))))))))))))))))))))))))))))))) [2]
   2'(c_1(c_1(c_0(c_2(c_3(c_0(c_2(c_3(c_3(c_3(c_2(c_1(c_2(c_3(c_1(c_0(c_2(c_3(c_2(c_1(c_3(c_3(c_0(c_1(c_3(c_0(c_2(c_1(c_2(c_0(c_2(c_1(c_1(c_1(c_0(c_2(c_2(c_3(x130))))))))))))))))))))))))))))))))))))))) -> 1'(3'(3'(3'(0'(1'(2'(1'(1'(3'(3'(0'(3'(0'(2'(2'(2'(2'(1'(1'(3'(3'(3'(2'(1'(3'(3'(0'(2'(0'(3'(1'(2'(0'(3'(0'(3'(2'(0'(x130))))))))))))))))))))))))))))))))))))))) [2]
   2'(c_1(c_1(c_0(c_2(c_3(c_0(c_2(c_3(c_3(c_3(c_2(c_1(c_2(c_3(c_1(c_0(c_2(c_3(c_2(c_1(c_0(c_1(c_1(c_3(c_2(c_0(c_3(c_0(c_2(c_3(c_0(c_0(c_0(c_0(c_2(c_0(c_2(c_3(x131))))))))))))))))))))))))))))))))))))))) -> 1'(3'(3'(3'(0'(1'(2'(1'(1'(3'(3'(0'(3'(0'(2'(2'(2'(2'(1'(1'(2'(3'(0'(3'(0'(2'(1'(0'(2'(0'(3'(1'(3'(0'(3'(3'(2'(2'(3'(x131))))))))))))))))))))))))))))))))))))))) [2]
   2'(c_1(c_1(c_0(c_2(c_3(c_0(c_2(c_3(c_3(c_3(c_2(c_1(c_2(c_3(c_1(c_0(c_2(c_3(c_2(c_1(c_1(c_3(c_2(c_3(c_3(c_3(c_1(c_1(c_0(c_1(c_0(c_0(c_0(c_0(c_0(c_0(c_2(c_3(x132))))))))))))))))))))))))))))))))))))))) -> 1'(3'(3'(3'(0'(1'(2'(1'(1'(3'(3'(0'(3'(0'(2'(2'(2'(2'(1'(1'(3'(0'(0'(0'(3'(1'(0'(1'(1'(3'(1'(0'(0'(3'(1'(2'(0'(3'(3'(x132))))))))))))))))))))))))))))))))))))))) [2]
   2'(c_1(c_1(c_0(c_2(c_3(c_0(c_2(c_3(c_3(c_3(c_2(c_1(c_2(c_3(c_1(c_0(c_2(c_3(c_2(c_1(c_1(c_3(c_0(c_1(c_0(c_1(c_2(c_2(c_1(c_0(c_2(c_2(c_2(c_3(c_1(c_0(c_3(c_3(x133))))))))))))))))))))))))))))))))))))))) -> 1'(3'(3'(3'(0'(1'(2'(1'(1'(3'(3'(0'(3'(0'(2'(2'(2'(2'(1'(2'(2'(0'(0'(3'(3'(1'(2'(1'(3'(3'(0'(2'(3'(2'(2'(1'(2'(3'(3'(x133))))))))))))))))))))))))))))))))))))))) [2]
   2'(c_1(c_1(c_0(c_2(c_3(c_0(c_2(c_3(c_3(c_3(c_2(c_1(c_2(c_3(c_1(c_0(c_2(c_3(c_2(c_0(c_0(c_0(c_3(c_3(c_3(c_1(c_1(c_3(c_2(c_0(c_3(c_1(c_2(c_0(c_1(c_1(c_2(c_3(x134))))))))))))))))))))))))))))))))))))))) -> 1'(3'(3'(3'(0'(1'(2'(1'(1'(3'(3'(0'(3'(0'(2'(2'(2'(2'(1'(3'(1'(3'(1'(3'(3'(3'(2'(2'(0'(0'(3'(0'(1'(3'(0'(0'(2'(0'(0'(x134))))))))))))))))))))))))))))))))))))))) [2]
   2'(c_1(c_1(c_0(c_2(c_3(c_0(c_2(c_3(c_3(c_3(c_2(c_1(c_2(c_3(c_1(c_0(c_2(c_3(c_2(c_0(c_2(c_3(c_0(c_2(c_1(c_2(c_0(c_3(c_0(c_1(c_3(c_3(c_0(c_3(c_0(c_1(c_2(c_2(x135))))))))))))))))))))))))))))))))))))))) -> 1'(3'(3'(3'(0'(1'(2'(1'(1'(3'(3'(0'(3'(0'(2'(2'(2'(2'(1'(0'(2'(2'(0'(1'(1'(3'(0'(1'(1'(3'(3'(0'(3'(3'(0'(3'(1'(3'(1'(x135))))))))))))))))))))))))))))))))))))))) [2]
   2'(c_1(c_1(c_0(c_2(c_3(c_0(c_2(c_3(c_3(c_3(c_2(c_1(c_2(c_3(c_1(c_0(c_2(c_3(c_2(c_1(c_0(c_1(c_0(c_1(c_2(c_0(c_3(c_0(c_2(c_2(c_3(c_3(c_0(c_2(c_2(c_3(c_1(c_3(x136))))))))))))))))))))))))))))))))))))))) -> 1'(3'(3'(3'(0'(1'(2'(1'(1'(3'(3'(0'(3'(0'(2'(2'(2'(2'(1'(1'(1'(1'(0'(2'(3'(3'(0'(3'(1'(3'(0'(2'(1'(1'(0'(3'(2'(3'(3'(x136))))))))))))))))))))))))))))))))))))))) [2]
   2'(c_1(c_1(c_0(c_2(c_3(c_0(c_2(c_3(c_3(c_3(c_2(c_1(c_2(c_3(c_1(c_0(c_2(c_3(c_2(c_2(c_3(c_0(c_0(c_3(c_0(c_2(c_0(c_1(c_0(c_1(c_1(c_1(c_3(c_3(c_2(c_1(c_2(c_3(x137))))))))))))))))))))))))))))))))))))))) -> 1'(3'(3'(3'(0'(1'(2'(1'(1'(3'(3'(0'(3'(0'(2'(2'(2'(2'(1'(2'(3'(3'(3'(0'(1'(1'(3'(3'(3'(0'(1'(2'(3'(0'(0'(2'(2'(0'(0'(x137))))))))))))))))))))))))))))))))))))))) [2]
   2'(c_1(c_1(c_0(c_2(c_3(c_0(c_2(c_3(c_3(c_3(c_2(c_1(c_2(c_3(c_1(c_0(c_2(c_3(c_2(c_3(c_1(c_2(c_0(c_3(c_0(c_0(c_2(c_1(c_0(c_3(c_0(c_3(c_2(c_1(c_3(c_3(c_2(c_3(x138))))))))))))))))))))))))))))))))))))))) -> 1'(3'(3'(3'(0'(1'(2'(1'(1'(3'(3'(0'(3'(0'(2'(2'(2'(2'(1'(0'(3'(1'(1'(3'(0'(1'(1'(2'(3'(0'(1'(0'(0'(1'(0'(3'(3'(0'(0'(x138))))))))))))))))))))))))))))))))))))))) [2]
   2'(c_1(c_1(c_0(c_2(c_3(c_0(c_2(c_3(c_3(c_3(c_2(c_1(c_2(c_3(c_1(c_0(c_2(c_3(c_2(c_2(c_1(c_2(c_2(c_3(c_0(c_3(c_0(c_1(c_2(c_3(c_3(c_3(c_0(c_0(c_3(c_1(c_1(c_3(x139))))))))))))))))))))))))))))))))))))))) -> 1'(3'(3'(3'(0'(1'(2'(1'(1'(3'(3'(0'(3'(0'(2'(2'(2'(2'(1'(2'(3'(3'(0'(1'(0'(3'(2'(3'(3'(1'(0'(0'(0'(1'(0'(0'(2'(3'(3'(x139))))))))))))))))))))))))))))))))))))))) [2]
   2'(c_1(c_1(c_0(c_2(c_3(c_0(c_2(c_3(c_3(c_3(c_2(c_1(c_2(c_3(c_1(c_0(c_2(c_3(c_2(c_0(c_3(c_2(c_0(c_1(c_2(c_3(c_0(c_3(c_3(c_0(c_2(c_3(c_3(c_2(c_1(c_1(c_1(c_3(x140))))))))))))))))))))))))))))))))))))))) -> 1'(3'(3'(3'(0'(1'(2'(1'(1'(3'(3'(0'(3'(0'(2'(2'(2'(2'(1'(2'(2'(1'(3'(3'(3'(3'(0'(3'(0'(3'(3'(3'(0'(0'(3'(3'(0'(0'(0'(x140))))))))))))))))))))))))))))))))))))))) [2]
   2'(c_1(c_1(c_0(c_2(c_3(c_0(c_2(c_3(c_3(c_3(c_2(c_1(c_2(c_3(c_1(c_0(c_2(c_3(c_2(x1)))))))))))))))))))) -> 1'(3'(3'(3'(0'(1'(2'(1'(1'(3'(3'(0'(3'(0'(2'(2'(2'(2'(1'(c_1(x1)))))))))))))))))))) [1]
   2'(c_1(c_1(c_0(c_2(c_3(c_0(c_2(c_3(c_3(c_3(c_2(c_1(c_2(c_3(c_1(c_0(c_2(c_3(c_2(x1)))))))))))))))))))) -> 1'(3'(3'(3'(0'(1'(2'(1'(1'(3'(3'(0'(3'(0'(2'(2'(2'(2'(1'(const))))))))))))))))))) [1]
   3'(c_3(c_0(c_2(c_2(c_3(c_3(c_1(c_2(c_2(c_0(c_0(c_3(c_2(c_0(c_2(c_1(c_0(c_3(c_3(x1)))))))))))))))))))) -> 1'(0'(2'(1'(1'(3'(2'(1'(1'(3'(0'(3'(3'(1'(1'(3'(1'(3'(3'(3'(x1)))))))))))))))))))) [1]
   2'(c_3(c_1(c_3(c_3(c_3(c_2(c_0(c_1(c_2(c_0(c_0(c_2(c_3(c_3(c_0(c_0(c_1(c_1(c_2(x1)))))))))))))))))))) -> 0'(2'(0'(2'(1'(3'(3'(0'(2'(1'(0'(3'(2'(3'(0'(2'(2'(1'(3'(3'(x1)))))))))))))))))))) [1]
   0'(c_0(c_1(c_2(c_3(c_0(c_1(c_0(c_3(c_0(c_3(c_1(c_1(c_1(c_0(c_1(c_3(c_3(c_2(c_3(x1)))))))))))))))))))) -> 3'(0'(3'(1'(1'(0'(2'(3'(0'(3'(3'(1'(3'(1'(0'(3'(0'(1'(2'(3'(x1)))))))))))))))))))) [1]
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   2'(c_1(c_0(c_3(c_0(c_2(c_0(c_2(c_1(c_3(c_3(c_3(c_1(c_1(c_1(c_0(c_0(c_3(c_3(c_2(c_2(c_1(c_2(c_2(c_3(c_0(c_3(c_0(c_1(c_2(c_3(c_3(c_3(c_0(c_0(c_3(c_1(c_1(c_3(x12181))))))))))))))))))))))))))))))))))))))) -> 2'(2'(1'(3'(0'(0'(1'(3'(0'(3'(3'(0'(3'(3'(1'(0'(1'(1'(0'(2'(3'(3'(0'(1'(0'(3'(2'(3'(3'(1'(0'(0'(0'(1'(0'(0'(2'(3'(3'(x12181))))))))))))))))))))))))))))))))))))))) [2]
   2'(c_1(c_0(c_3(c_0(c_2(c_0(c_2(c_1(c_3(c_3(c_3(c_1(c_1(c_1(c_0(c_0(c_3(c_3(c_2(c_0(c_3(c_2(c_0(c_1(c_2(c_3(c_0(c_3(c_3(c_0(c_2(c_3(c_3(c_2(c_1(c_1(c_1(c_3(x12182))))))))))))))))))))))))))))))))))))))) -> 2'(2'(1'(3'(0'(0'(1'(3'(0'(3'(3'(0'(3'(3'(1'(0'(1'(1'(0'(2'(2'(1'(3'(3'(3'(3'(0'(3'(0'(3'(3'(3'(0'(0'(3'(3'(0'(0'(0'(x12182))))))))))))))))))))))))))))))))))))))) [2]
   2'(c_1(c_0(c_3(c_0(c_2(c_0(c_2(c_1(c_3(c_3(c_3(c_1(c_1(c_1(c_0(c_0(c_3(c_3(c_2(x1)))))))))))))))))))) -> 2'(2'(1'(3'(0'(0'(1'(3'(0'(3'(3'(0'(3'(3'(1'(0'(1'(1'(0'(c_1(x1)))))))))))))))))))) [1]
   2'(c_1(c_0(c_3(c_0(c_2(c_0(c_2(c_1(c_3(c_3(c_3(c_1(c_1(c_1(c_0(c_0(c_3(c_3(c_2(x1)))))))))))))))))))) -> 2'(2'(1'(3'(0'(0'(1'(3'(0'(3'(3'(0'(3'(3'(1'(0'(1'(1'(0'(const))))))))))))))))))) [1]
   2'(c_3(c_1(c_2(c_0(c_3(c_2(c_0(c_2(c_3(c_3(c_0(c_2(c_0(c_0(c_1(c_0(c_1(c_0(c_3(x1)))))))))))))))))))) -> 0'(3'(1'(3'(0'(3'(3'(0'(1'(0'(0'(3'(2'(0'(0'(0'(3'(3'(2'(3'(x1)))))))))))))))))))) [1]
   3'(c_0(c_3(c_2(c_2(c_2(c_3(c_1(c_3(c_0(c_2(c_1(c_0(c_1(c_0(c_2(c_2(c_3(c_3(c_1(x1)))))))))))))))))))) -> 2'(3'(0'(0'(3'(1'(2'(0'(3'(3'(0'(0'(0'(3'(3'(3'(1'(0'(2'(2'(x1)))))))))))))))))))) [1]
   0'(c_2(c_2(c_2(c_1(c_3(c_2(c_1(c_2(c_1(c_3(c_0(c_2(c_3(c_2(c_1(c_0(c_0(c_1(c_3(x1)))))))))))))))))))) -> 0'(1'(0'(2'(0'(0'(0'(0'(0'(3'(0'(0'(0'(2'(3'(2'(2'(3'(3'(0'(x1)))))))))))))))))))) [1]
   3'(c_2(c_0(c_3(c_3(c_1(c_3(c_2(c_3(c_0(c_3(c_2(c_3(c_1(c_3(c_0(c_2(c_1(c_3(c_0(x1)))))))))))))))))))) -> 3'(3'(3'(0'(2'(3'(3'(0'(2'(0'(3'(3'(3'(3'(1'(0'(0'(1'(3'(0'(x1)))))))))))))))))))) [1]
   0'(c_2(c_1(c_3(c_2(c_0(c_2(c_1(c_0(c_1(c_0(c_3(c_0(c_1(c_1(c_1(c_3(c_3(c_3(c_0(c_1(c_3(c_2(c_1(c_1(c_0(c_0(c_2(c_2(c_3(c_1(c_1(c_1(c_0(c_3(c_3(c_0(c_3(c_3(x12294))))))))))))))))))))))))))))))))))))))) -> 3'(0'(2'(1'(3'(3'(3'(3'(1'(3'(2'(2'(1'(0'(0'(0'(3'(0'(1'(0'(2'(2'(3'(3'(0'(2'(0'(0'(0'(1'(0'(2'(3'(3'(0'(3'(0'(1'(3'(x12294))))))))))))))))))))))))))))))))))))))) [2]
   0'(c_2(c_1(c_3(c_2(c_0(c_2(c_1(c_0(c_1(c_0(c_3(c_0(c_1(c_1(c_1(c_3(c_3(c_3(c_0(c_1(c_0(c_2(c_0(c_1(c_3(c_3(c_1(c_1(c_1(c_0(c_1(c_3(c_3(c_3(c_1(c_0(c_1(c_2(x12295))))))))))))))))))))))))))))))))))))))) -> 3'(0'(2'(1'(3'(3'(3'(3'(1'(3'(2'(2'(1'(0'(0'(0'(3'(0'(1'(1'(0'(2'(1'(2'(1'(2'(3'(2'(0'(3'(3'(3'(3'(3'(0'(0'(2'(0'(0'(x12295))))))))))))))))))))))))))))))))))))))) [2]
   0'(c_2(c_1(c_3(c_2(c_0(c_2(c_1(c_0(c_1(c_0(c_3(c_0(c_1(c_1(c_1(c_3(c_3(c_3(c_0(c_3(c_1(c_3(c_1(c_3(c_3(c_1(c_3(c_2(c_3(c_0(c_3(c_2(c_2(c_3(c_0(c_3(c_0(c_3(x12296))))))))))))))))))))))))))))))))))))))) -> 3'(0'(2'(1'(3'(3'(3'(3'(1'(3'(2'(2'(1'(0'(0'(0'(3'(0'(1'(0'(3'(2'(3'(3'(3'(0'(0'(0'(1'(0'(3'(1'(2'(3'(2'(3'(0'(0'(3'(x12296))))))))))))))))))))))))))))))))))))))) [2]
   0'(c_2(c_1(c_3(c_2(c_0(c_2(c_1(c_0(c_1(c_0(c_3(c_0(c_1(c_1(c_1(c_3(c_3(c_3(c_0(c_0(c_3(c_0(c_0(c_1(c_1(c_1(c_3(c_3(c_0(c_1(c_0(c_0(c_3(c_1(c_1(c_3(c_2(c_3(x12297))))))))))))))))))))))))))))))))))))))) -> 3'(0'(2'(1'(3'(3'(3'(3'(1'(3'(2'(2'(1'(0'(0'(0'(3'(0'(1'(3'(2'(3'(3'(3'(3'(3'(0'(1'(3'(0'(3'(1'(2'(0'(3'(3'(3'(1'(2'(x12297))))))))))))))))))))))))))))))))))))))) [2]
   0'(c_2(c_1(c_3(c_2(c_0(c_2(c_1(c_0(c_1(c_0(c_3(c_0(c_1(c_1(c_1(c_3(c_3(c_3(c_0(c_1(c_3(c_3(c_0(c_1(c_3(c_0(c_2(c_1(c_2(c_0(c_2(c_1(c_1(c_1(c_0(c_2(c_2(c_3(x12298))))))))))))))))))))))))))))))))))))))) -> 3'(0'(2'(1'(3'(3'(3'(3'(1'(3'(2'(2'(1'(0'(0'(0'(3'(0'(1'(1'(3'(3'(3'(2'(1'(3'(3'(0'(2'(0'(3'(1'(2'(0'(3'(0'(3'(2'(0'(x12298))))))))))))))))))))))))))))))))))))))) [2]
   0'(c_2(c_1(c_3(c_2(c_0(c_2(c_1(c_0(c_1(c_0(c_3(c_0(c_1(c_1(c_1(c_3(c_3(c_3(c_0(c_1(c_0(c_1(c_1(c_3(c_2(c_0(c_3(c_0(c_2(c_3(c_0(c_0(c_0(c_0(c_2(c_0(c_2(c_3(x12299))))))))))))))))))))))))))))))))))))))) -> 3'(0'(2'(1'(3'(3'(3'(3'(1'(3'(2'(2'(1'(0'(0'(0'(3'(0'(1'(1'(2'(3'(0'(3'(0'(2'(1'(0'(2'(0'(3'(1'(3'(0'(3'(3'(2'(2'(3'(x12299))))))))))))))))))))))))))))))))))))))) [2]
   0'(c_2(c_1(c_3(c_2(c_0(c_2(c_1(c_0(c_1(c_0(c_3(c_0(c_1(c_1(c_1(c_3(c_3(c_3(c_0(c_1(c_1(c_3(c_2(c_3(c_3(c_3(c_1(c_1(c_0(c_1(c_0(c_0(c_0(c_0(c_0(c_0(c_2(c_3(x12300))))))))))))))))))))))))))))))))))))))) -> 3'(0'(2'(1'(3'(3'(3'(3'(1'(3'(2'(2'(1'(0'(0'(0'(3'(0'(1'(1'(3'(0'(0'(0'(3'(1'(0'(1'(1'(3'(1'(0'(0'(3'(1'(2'(0'(3'(3'(x12300))))))))))))))))))))))))))))))))))))))) [2]
   0'(c_2(c_1(c_3(c_2(c_0(c_2(c_1(c_0(c_1(c_0(c_3(c_0(c_1(c_1(c_1(c_3(c_3(c_3(c_0(c_1(c_1(c_3(c_0(c_1(c_0(c_1(c_2(c_2(c_1(c_0(c_2(c_2(c_2(c_3(c_1(c_0(c_3(c_3(x12301))))))))))))))))))))))))))))))))))))))) -> 3'(0'(2'(1'(3'(3'(3'(3'(1'(3'(2'(2'(1'(0'(0'(0'(3'(0'(1'(2'(2'(0'(0'(3'(3'(1'(2'(1'(3'(3'(0'(2'(3'(2'(2'(1'(2'(3'(3'(x12301))))))))))))))))))))))))))))))))))))))) [2]
   0'(c_2(c_1(c_3(c_2(c_0(c_2(c_1(c_0(c_1(c_0(c_3(c_0(c_1(c_1(c_1(c_3(c_3(c_3(c_0(c_0(c_0(c_0(c_3(c_3(c_3(c_1(c_1(c_3(c_2(c_0(c_3(c_1(c_2(c_0(c_1(c_1(c_2(c_3(x12302))))))))))))))))))))))))))))))))))))))) -> 3'(0'(2'(1'(3'(3'(3'(3'(1'(3'(2'(2'(1'(0'(0'(0'(3'(0'(1'(3'(1'(3'(1'(3'(3'(3'(2'(2'(0'(0'(3'(0'(1'(3'(0'(0'(2'(0'(0'(x12302))))))))))))))))))))))))))))))))))))))) [2]
   0'(c_2(c_1(c_3(c_2(c_0(c_2(c_1(c_0(c_1(c_0(c_3(c_0(c_1(c_1(c_1(c_3(c_3(c_3(c_0(c_0(c_2(c_3(c_0(c_2(c_1(c_2(c_0(c_3(c_0(c_1(c_3(c_3(c_0(c_3(c_0(c_1(c_2(c_2(x12303))))))))))))))))))))))))))))))))))))))) -> 3'(0'(2'(1'(3'(3'(3'(3'(1'(3'(2'(2'(1'(0'(0'(0'(3'(0'(1'(0'(2'(2'(0'(1'(1'(3'(0'(1'(1'(3'(3'(0'(3'(3'(0'(3'(1'(3'(1'(x12303))))))))))))))))))))))))))))))))))))))) [2]
   0'(c_2(c_1(c_3(c_2(c_0(c_2(c_1(c_0(c_1(c_0(c_3(c_0(c_1(c_1(c_1(c_3(c_3(c_3(c_0(c_1(c_0(c_1(c_0(c_1(c_2(c_0(c_3(c_0(c_2(c_2(c_3(c_3(c_0(c_2(c_2(c_3(c_1(c_3(x12304))))))))))))))))))))))))))))))))))))))) -> 3'(0'(2'(1'(3'(3'(3'(3'(1'(3'(2'(2'(1'(0'(0'(0'(3'(0'(1'(1'(1'(1'(0'(2'(3'(3'(0'(3'(1'(3'(0'(2'(1'(1'(0'(3'(2'(3'(3'(x12304))))))))))))))))))))))))))))))))))))))) [2]
   0'(c_2(c_1(c_3(c_2(c_0(c_2(c_1(c_0(c_1(c_0(c_3(c_0(c_1(c_1(c_1(c_3(c_3(c_3(c_0(c_2(c_3(c_0(c_0(c_3(c_0(c_2(c_0(c_1(c_0(c_1(c_1(c_1(c_3(c_3(c_2(c_1(c_2(c_3(x12305))))))))))))))))))))))))))))))))))))))) -> 3'(0'(2'(1'(3'(3'(3'(3'(1'(3'(2'(2'(1'(0'(0'(0'(3'(0'(1'(2'(3'(3'(3'(0'(1'(1'(3'(3'(3'(0'(1'(2'(3'(0'(0'(2'(2'(0'(0'(x12305))))))))))))))))))))))))))))))))))))))) [2]
   0'(c_2(c_1(c_3(c_2(c_0(c_2(c_1(c_0(c_1(c_0(c_3(c_0(c_1(c_1(c_1(c_3(c_3(c_3(c_0(c_3(c_1(c_2(c_0(c_3(c_0(c_0(c_2(c_1(c_0(c_3(c_0(c_3(c_2(c_1(c_3(c_3(c_2(c_3(x12306))))))))))))))))))))))))))))))))))))))) -> 3'(0'(2'(1'(3'(3'(3'(3'(1'(3'(2'(2'(1'(0'(0'(0'(3'(0'(1'(0'(3'(1'(1'(3'(0'(1'(1'(2'(3'(0'(1'(0'(0'(1'(0'(3'(3'(0'(0'(x12306))))))))))))))))))))))))))))))))))))))) [2]
   0'(c_2(c_1(c_3(c_2(c_0(c_2(c_1(c_0(c_1(c_0(c_3(c_0(c_1(c_1(c_1(c_3(c_3(c_3(c_0(c_2(c_1(c_2(c_2(c_3(c_0(c_3(c_0(c_1(c_2(c_3(c_3(c_3(c_0(c_0(c_3(c_1(c_1(c_3(x12307))))))))))))))))))))))))))))))))))))))) -> 3'(0'(2'(1'(3'(3'(3'(3'(1'(3'(2'(2'(1'(0'(0'(0'(3'(0'(1'(2'(3'(3'(0'(1'(0'(3'(2'(3'(3'(1'(0'(0'(0'(1'(0'(0'(2'(3'(3'(x12307))))))))))))))))))))))))))))))))))))))) [2]
   0'(c_2(c_1(c_3(c_2(c_0(c_2(c_1(c_0(c_1(c_0(c_3(c_0(c_1(c_1(c_1(c_3(c_3(c_3(c_0(c_0(c_3(c_2(c_0(c_1(c_2(c_3(c_0(c_3(c_3(c_0(c_2(c_3(c_3(c_2(c_1(c_1(c_1(c_3(x12308))))))))))))))))))))))))))))))))))))))) -> 3'(0'(2'(1'(3'(3'(3'(3'(1'(3'(2'(2'(1'(0'(0'(0'(3'(0'(1'(2'(2'(1'(3'(3'(3'(3'(0'(3'(0'(3'(3'(3'(0'(0'(3'(3'(0'(0'(0'(x12308))))))))))))))))))))))))))))))))))))))) [2]
   0'(c_2(c_1(c_3(c_2(c_0(c_2(c_1(c_0(c_1(c_0(c_3(c_0(c_1(c_1(c_1(c_3(c_3(c_3(c_0(x1)))))))))))))))))))) -> 3'(0'(2'(1'(3'(3'(3'(3'(1'(3'(2'(2'(1'(0'(0'(0'(3'(0'(1'(c_1(x1)))))))))))))))))))) [1]
   0'(c_2(c_1(c_3(c_2(c_0(c_2(c_1(c_0(c_1(c_0(c_3(c_0(c_1(c_1(c_1(c_3(c_3(c_3(c_0(x1)))))))))))))))))))) -> 3'(0'(2'(1'(3'(3'(3'(3'(1'(3'(2'(2'(1'(0'(0'(0'(3'(0'(1'(const))))))))))))))))))) [1]
   2'(c_2(c_3(c_2(c_0(c_0(c_3(c_0(c_3(c_3(c_2(c_2(c_2(c_0(c_2(c_3(c_3(c_3(c_3(c_2(x1)))))))))))))))))))) -> 1'(0'(3'(1'(2'(3'(3'(2'(3'(3'(3'(3'(0'(1'(3'(1'(0'(3'(0'(3'(x1)))))))))))))))))))) [1]
   2'(c_2(c_3(c_3(c_0(c_2(c_2(c_0(c_1(c_3(c_1(c_3(c_3(c_0(c_3(c_2(c_2(c_2(c_1(c_2(x1)))))))))))))))))))) -> 2'(0'(0'(0'(3'(0'(3'(1'(3'(2'(0'(0'(1'(1'(3'(0'(0'(3'(2'(3'(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(x_1)) -> 0'(const) [0]
   encArg(cons_1(cons_0(x_13))) -> 1'(0'(encArg(x_13))) [0]
   encArg(cons_1(cons_1(x_14))) -> 1'(1'(encArg(x_14))) [0]
   encArg(cons_1(cons_2(x_15))) -> 1'(2'(encArg(x_15))) [0]
   encArg(cons_1(cons_3(x_16))) -> 1'(3'(encArg(x_16))) [0]
   encArg(cons_1(x_1)) -> 1'(const) [0]
   encArg(cons_2(cons_0(x_17))) -> 2'(0'(encArg(x_17))) [0]
   encArg(cons_2(cons_1(x_18))) -> 2'(1'(encArg(x_18))) [0]
   encArg(cons_2(cons_2(x_19))) -> 2'(2'(encArg(x_19))) [0]
   encArg(cons_2(cons_3(x_110))) -> 2'(3'(encArg(x_110))) [0]
   encArg(cons_2(x_1)) -> 2'(const) [0]
   encArg(cons_3(cons_0(x_111))) -> 3'(0'(encArg(x_111))) [0]
   encArg(cons_3(cons_1(x_112))) -> 3'(1'(encArg(x_112))) [0]
   encArg(cons_3(cons_2(x_113))) -> 3'(2'(encArg(x_113))) [0]
   encArg(cons_3(cons_3(x_114))) -> 3'(3'(encArg(x_114))) [0]
   encArg(cons_3(x_1)) -> 3'(const) [0]
   encode_0(cons_0(x_115)) -> 0'(0'(encArg(x_115))) [0]
   encode_0(cons_1(x_116)) -> 0'(1'(encArg(x_116))) [0]
   encode_0(cons_2(x_117)) -> 0'(2'(encArg(x_117))) [0]
   encode_0(cons_3(x_118)) -> 0'(3'(encArg(x_118))) [0]
   encode_0(x_1) -> 0'(const) [0]
   encode_1(cons_0(x_119)) -> 1'(0'(encArg(x_119))) [0]
   encode_1(cons_1(x_120)) -> 1'(1'(encArg(x_120))) [0]
   encode_1(cons_2(x_121)) -> 1'(2'(encArg(x_121))) [0]
   encode_1(cons_3(x_122)) -> 1'(3'(encArg(x_122))) [0]
   encode_1(x_1) -> 1'(const) [0]
   encode_2(cons_0(x_123)) -> 2'(0'(encArg(x_123))) [0]
   encode_2(cons_1(x_124)) -> 2'(1'(encArg(x_124))) [0]
   encode_2(cons_2(x_125)) -> 2'(2'(encArg(x_125))) [0]
   encode_2(cons_3(x_126)) -> 2'(3'(encArg(x_126))) [0]
   encode_2(x_1) -> 2'(const) [0]
   encode_3(cons_0(x_127)) -> 3'(0'(encArg(x_127))) [0]
   encode_3(cons_1(x_128)) -> 3'(1'(encArg(x_128))) [0]
   encode_3(cons_2(x_129)) -> 3'(2'(encArg(x_129))) [0]
   encode_3(cons_3(x_130)) -> 3'(3'(encArg(x_130))) [0]
   encode_3(x_1) -> 3'(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]
   encArg(v0) -> const [0]
   encode_0(v0) -> const [0]
   encode_1(v0) -> const [0]
   encode_2(v0) -> const [0]
   encode_3(v0) -> const [0]
   0'(v0) -> const [0]
   1'(v0) -> const [0]
   2'(v0) -> const [0]
   3'(v0) -> const [0]

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

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 }-> 3'(3'(0'(3'(0'(3'(3'(0'(1'(1'(0'(1'(0'(2'(0'(2'(3'(1'(2'(3'(x1)))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   0'(z) -{ 2 }-> 3'(2'(3'(3'(0'(3'(1'(1'(0'(1'(1'(1'(1'(1'(3'(0'(3'(3'(0'(3'(2'(3'(3'(3'(3'(3'(0'(1'(3'(0'(3'(1'(2'(0'(3'(3'(3'(1'(2'(x11046))))))))))))))))))))))))))))))))))))))) :|: x11046 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11046)))))))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 3'(2'(3'(3'(0'(3'(1'(1'(0'(1'(1'(1'(1'(1'(3'(0'(3'(3'(0'(3'(1'(3'(1'(3'(3'(3'(2'(2'(0'(0'(3'(0'(1'(3'(0'(0'(2'(0'(0'(x11051))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11051))))))))))))))))))))))))))))))))))))), x11051 >= 0
   0'(z) -{ 2 }-> 3'(2'(3'(3'(0'(3'(1'(1'(0'(1'(1'(1'(1'(1'(3'(0'(3'(3'(0'(2'(3'(3'(3'(0'(1'(1'(3'(3'(3'(0'(1'(2'(3'(0'(0'(2'(2'(0'(0'(x11054))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11054))))))))))))))))))))))))))))))))))))), x11054 >= 0
   0'(z) -{ 2 }-> 3'(2'(3'(3'(0'(3'(1'(1'(0'(1'(1'(1'(1'(1'(3'(0'(3'(3'(0'(2'(3'(3'(0'(1'(0'(3'(2'(3'(3'(1'(0'(0'(0'(1'(0'(0'(2'(3'(3'(x11056))))))))))))))))))))))))))))))))))))))) :|: x11056 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11056)))))))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 3'(2'(3'(3'(0'(3'(1'(1'(0'(1'(1'(1'(1'(1'(3'(0'(3'(3'(0'(2'(2'(1'(3'(3'(3'(3'(0'(3'(0'(3'(3'(3'(0'(0'(3'(3'(0'(0'(0'(x11057))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11057))))))))))))))))))))))))))))))))))))), x11057 >= 0
   0'(z) -{ 2 }-> 3'(2'(3'(3'(0'(3'(1'(1'(0'(1'(1'(1'(1'(1'(3'(0'(3'(3'(0'(2'(2'(0'(0'(3'(3'(1'(2'(1'(3'(3'(0'(2'(3'(2'(2'(1'(2'(3'(3'(x11050))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11050))))))))))))))))))))))))))))))))))))), x11050 >= 0
   0'(z) -{ 2 }-> 3'(2'(3'(3'(0'(3'(1'(1'(0'(1'(1'(1'(1'(1'(3'(0'(3'(3'(0'(1'(3'(3'(3'(2'(1'(3'(3'(0'(2'(0'(3'(1'(2'(0'(3'(0'(3'(2'(0'(x11047))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11047))))))))))))))))))))))))))))))))))))), x11047 >= 0
   0'(z) -{ 2 }-> 3'(2'(3'(3'(0'(3'(1'(1'(0'(1'(1'(1'(1'(1'(3'(0'(3'(3'(0'(1'(3'(0'(0'(0'(3'(1'(0'(1'(1'(3'(1'(0'(0'(3'(1'(2'(0'(3'(3'(x11049))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11049))))))))))))))))))))))))))))))))))))), x11049 >= 0
   0'(z) -{ 2 }-> 3'(2'(3'(3'(0'(3'(1'(1'(0'(1'(1'(1'(1'(1'(3'(0'(3'(3'(0'(1'(2'(3'(0'(3'(0'(2'(1'(0'(2'(0'(3'(1'(3'(0'(3'(3'(2'(2'(3'(x11048))))))))))))))))))))))))))))))))))))))) :|: x11048 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11048)))))))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 3'(2'(3'(3'(0'(3'(1'(1'(0'(1'(1'(1'(1'(1'(3'(0'(3'(3'(0'(1'(1'(1'(0'(2'(3'(3'(0'(3'(1'(3'(0'(2'(1'(1'(0'(3'(2'(3'(3'(x11053))))))))))))))))))))))))))))))))))))))) :|: x11053 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11053)))))))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 3'(2'(3'(3'(0'(3'(1'(1'(0'(1'(1'(1'(1'(1'(3'(0'(3'(3'(0'(1'(0'(2'(1'(2'(1'(2'(3'(2'(0'(3'(3'(3'(3'(3'(0'(0'(2'(0'(0'(x11044))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11044))))))))))))))))))))))))))))))))))))), x11044 >= 0
   0'(z) -{ 2 }-> 3'(2'(3'(3'(0'(3'(1'(1'(0'(1'(1'(1'(1'(1'(3'(0'(3'(3'(0'(0'(3'(2'(3'(3'(3'(0'(0'(0'(1'(0'(3'(1'(2'(3'(2'(3'(0'(0'(3'(x11045))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11045))))))))))))))))))))))))))))))))))))), x11045 >= 0
   0'(z) -{ 2 }-> 3'(2'(3'(3'(0'(3'(1'(1'(0'(1'(1'(1'(1'(1'(3'(0'(3'(3'(0'(0'(3'(1'(1'(3'(0'(1'(1'(2'(3'(0'(1'(0'(0'(1'(0'(3'(3'(0'(0'(x11055))))))))))))))))))))))))))))))))))))))) :|: x11055 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11055)))))))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 3'(2'(3'(3'(0'(3'(1'(1'(0'(1'(1'(1'(1'(1'(3'(0'(3'(3'(0'(0'(2'(2'(3'(3'(0'(2'(0'(0'(0'(1'(0'(2'(3'(3'(0'(3'(0'(1'(3'(x11043))))))))))))))))))))))))))))))))))))))) :|: x11043 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11043)))))))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 3'(2'(3'(3'(0'(3'(1'(1'(0'(1'(1'(1'(1'(1'(3'(0'(3'(3'(0'(0'(2'(2'(0'(1'(1'(3'(0'(1'(1'(3'(3'(0'(3'(3'(0'(3'(1'(3'(1'(x11052))))))))))))))))))))))))))))))))))))))) :|: x11052 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11052)))))))))))))))))))))))))))))))))))))
   0'(z) -{ 1 }-> 3'(2'(3'(3'(0'(3'(1'(1'(0'(1'(1'(1'(1'(1'(3'(0'(3'(3'(0'(0))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   0'(z) -{ 1 }-> 3'(2'(3'(3'(0'(3'(1'(1'(0'(1'(1'(1'(1'(1'(3'(0'(3'(3'(0'(1 + x1))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   0'(z) -{ 1 }-> 3'(2'(1'(0'(3'(2'(3'(0'(0'(0'(1'(3'(0'(0'(3'(3'(3'(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))))))))))))))))))
   0'(z) -{ 1 }-> 3'(1'(3'(0'(1'(0'(0'(0'(1'(1'(3'(0'(2'(2'(1'(2'(3'(1'(0'(3'(x1)))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   0'(z) -{ 2 }-> 3'(1'(2'(3'(3'(3'(1'(0'(3'(3'(2'(0'(2'(2'(3'(1'(1'(1'(3'(3'(2'(3'(3'(3'(3'(3'(0'(1'(3'(0'(3'(1'(2'(0'(3'(3'(3'(1'(2'(x11010))))))))))))))))))))))))))))))))))))))) :|: x11010 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11010)))))))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 3'(1'(2'(3'(3'(3'(1'(0'(3'(3'(2'(0'(2'(2'(3'(1'(1'(1'(3'(3'(1'(3'(1'(3'(3'(3'(2'(2'(0'(0'(3'(0'(1'(3'(0'(0'(2'(0'(0'(x11015))))))))))))))))))))))))))))))))))))))) :|: x11015 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11015)))))))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 3'(1'(2'(3'(3'(3'(1'(0'(3'(3'(2'(0'(2'(2'(3'(1'(1'(1'(3'(2'(3'(3'(3'(0'(1'(1'(3'(3'(3'(0'(1'(2'(3'(0'(0'(2'(2'(0'(0'(x11018))))))))))))))))))))))))))))))))))))))) :|: x11018 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11018)))))))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 3'(1'(2'(3'(3'(3'(1'(0'(3'(3'(2'(0'(2'(2'(3'(1'(1'(1'(3'(2'(3'(3'(0'(1'(0'(3'(2'(3'(3'(1'(0'(0'(0'(1'(0'(0'(2'(3'(3'(x11020))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11020))))))))))))))))))))))))))))))))))))), x11020 >= 0
   0'(z) -{ 2 }-> 3'(1'(2'(3'(3'(3'(1'(0'(3'(3'(2'(0'(2'(2'(3'(1'(1'(1'(3'(2'(2'(1'(3'(3'(3'(3'(0'(3'(0'(3'(3'(3'(0'(0'(3'(3'(0'(0'(0'(x11021))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11021))))))))))))))))))))))))))))))))))))), x11021 >= 0
   0'(z) -{ 2 }-> 3'(1'(2'(3'(3'(3'(1'(0'(3'(3'(2'(0'(2'(2'(3'(1'(1'(1'(3'(2'(2'(0'(0'(3'(3'(1'(2'(1'(3'(3'(0'(2'(3'(2'(2'(1'(2'(3'(3'(x11014))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11014))))))))))))))))))))))))))))))))))))), x11014 >= 0
   0'(z) -{ 2 }-> 3'(1'(2'(3'(3'(3'(1'(0'(3'(3'(2'(0'(2'(2'(3'(1'(1'(1'(3'(1'(3'(3'(3'(2'(1'(3'(3'(0'(2'(0'(3'(1'(2'(0'(3'(0'(3'(2'(0'(x11011))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11011))))))))))))))))))))))))))))))))))))), x11011 >= 0
   0'(z) -{ 2 }-> 3'(1'(2'(3'(3'(3'(1'(0'(3'(3'(2'(0'(2'(2'(3'(1'(1'(1'(3'(1'(3'(0'(0'(0'(3'(1'(0'(1'(1'(3'(1'(0'(0'(3'(1'(2'(0'(3'(3'(x11013))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11013))))))))))))))))))))))))))))))))))))), x11013 >= 0
   0'(z) -{ 2 }-> 3'(1'(2'(3'(3'(3'(1'(0'(3'(3'(2'(0'(2'(2'(3'(1'(1'(1'(3'(1'(2'(3'(0'(3'(0'(2'(1'(0'(2'(0'(3'(1'(3'(0'(3'(3'(2'(2'(3'(x11012))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11012))))))))))))))))))))))))))))))))))))), x11012 >= 0
   0'(z) -{ 2 }-> 3'(1'(2'(3'(3'(3'(1'(0'(3'(3'(2'(0'(2'(2'(3'(1'(1'(1'(3'(1'(1'(1'(0'(2'(3'(3'(0'(3'(1'(3'(0'(2'(1'(1'(0'(3'(2'(3'(3'(x11017))))))))))))))))))))))))))))))))))))))) :|: x11017 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11017)))))))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 3'(1'(2'(3'(3'(3'(1'(0'(3'(3'(2'(0'(2'(2'(3'(1'(1'(1'(3'(1'(0'(2'(1'(2'(1'(2'(3'(2'(0'(3'(3'(3'(3'(3'(0'(0'(2'(0'(0'(x11008))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11008))))))))))))))))))))))))))))))))))))), x11008 >= 0
   0'(z) -{ 2 }-> 3'(1'(2'(3'(3'(3'(1'(0'(3'(3'(2'(0'(2'(2'(3'(1'(1'(1'(3'(0'(3'(2'(3'(3'(3'(0'(0'(0'(1'(0'(3'(1'(2'(3'(2'(3'(0'(0'(3'(x11009))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11009))))))))))))))))))))))))))))))))))))), x11009 >= 0
   0'(z) -{ 2 }-> 3'(1'(2'(3'(3'(3'(1'(0'(3'(3'(2'(0'(2'(2'(3'(1'(1'(1'(3'(0'(3'(1'(1'(3'(0'(1'(1'(2'(3'(0'(1'(0'(0'(1'(0'(3'(3'(0'(0'(x11019))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11019))))))))))))))))))))))))))))))))))))), x11019 >= 0
   0'(z) -{ 2 }-> 3'(1'(2'(3'(3'(3'(1'(0'(3'(3'(2'(0'(2'(2'(3'(1'(1'(1'(3'(0'(2'(2'(3'(3'(0'(2'(0'(0'(0'(1'(0'(2'(3'(3'(0'(3'(0'(1'(3'(x11007))))))))))))))))))))))))))))))))))))))) :|: x11007 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11007)))))))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 3'(1'(2'(3'(3'(3'(1'(0'(3'(3'(2'(0'(2'(2'(3'(1'(1'(1'(3'(0'(2'(2'(0'(1'(1'(3'(0'(1'(1'(3'(3'(0'(3'(3'(0'(3'(1'(3'(1'(x11016))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11016))))))))))))))))))))))))))))))))))))), x11016 >= 0
   0'(z) -{ 1 }-> 3'(1'(2'(3'(3'(3'(1'(0'(3'(3'(2'(0'(2'(2'(3'(1'(1'(1'(3'(0))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   0'(z) -{ 1 }-> 3'(1'(2'(3'(3'(3'(1'(0'(3'(3'(2'(0'(2'(2'(3'(1'(1'(1'(3'(1 + x1))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   0'(z) -{ 1 }-> 3'(1'(0'(1'(3'(1'(0'(3'(0'(3'(1'(3'(2'(1'(0'(1'(1'(3'(1'(3'(x1)))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   0'(z) -{ 2 }-> 3'(0'(3'(3'(3'(3'(3'(2'(3'(3'(3'(1'(0'(0'(3'(2'(0'(2'(2'(3'(2'(3'(3'(3'(3'(3'(0'(1'(3'(0'(3'(1'(2'(0'(3'(3'(3'(1'(2'(x1470))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1470))))))))))))))))))))))))))))))))))))), x1470 >= 0
   0'(z) -{ 2 }-> 3'(0'(3'(3'(3'(3'(3'(2'(3'(3'(3'(1'(0'(0'(3'(2'(0'(2'(2'(3'(1'(3'(1'(3'(3'(3'(2'(2'(0'(0'(3'(0'(1'(3'(0'(0'(2'(0'(0'(x1475))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1475))))))))))))))))))))))))))))))))))))), x1475 >= 0
   0'(z) -{ 2 }-> 3'(0'(3'(3'(3'(3'(3'(2'(3'(3'(3'(1'(0'(0'(3'(2'(0'(2'(2'(2'(3'(3'(3'(0'(1'(1'(3'(3'(3'(0'(1'(2'(3'(0'(0'(2'(2'(0'(0'(x1478))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1478))))))))))))))))))))))))))))))))))))), x1478 >= 0
   0'(z) -{ 2 }-> 3'(0'(3'(3'(3'(3'(3'(2'(3'(3'(3'(1'(0'(0'(3'(2'(0'(2'(2'(2'(3'(3'(0'(1'(0'(3'(2'(3'(3'(1'(0'(0'(0'(1'(0'(0'(2'(3'(3'(x1480))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1480))))))))))))))))))))))))))))))))))))), x1480 >= 0
   0'(z) -{ 2 }-> 3'(0'(3'(3'(3'(3'(3'(2'(3'(3'(3'(1'(0'(0'(3'(2'(0'(2'(2'(2'(2'(1'(3'(3'(3'(3'(0'(3'(0'(3'(3'(3'(0'(0'(3'(3'(0'(0'(0'(x1481))))))))))))))))))))))))))))))))))))))) :|: x1481 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1481)))))))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 3'(0'(3'(3'(3'(3'(3'(2'(3'(3'(3'(1'(0'(0'(3'(2'(0'(2'(2'(2'(2'(0'(0'(3'(3'(1'(2'(1'(3'(3'(0'(2'(3'(2'(2'(1'(2'(3'(3'(x1474))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1474))))))))))))))))))))))))))))))))))))), x1474 >= 0
   0'(z) -{ 2 }-> 3'(0'(3'(3'(3'(3'(3'(2'(3'(3'(3'(1'(0'(0'(3'(2'(0'(2'(2'(1'(3'(3'(3'(2'(1'(3'(3'(0'(2'(0'(3'(1'(2'(0'(3'(0'(3'(2'(0'(x1471))))))))))))))))))))))))))))))))))))))) :|: x1471 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1471)))))))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 3'(0'(3'(3'(3'(3'(3'(2'(3'(3'(3'(1'(0'(0'(3'(2'(0'(2'(2'(1'(3'(0'(0'(0'(3'(1'(0'(1'(1'(3'(1'(0'(0'(3'(1'(2'(0'(3'(3'(x1473))))))))))))))))))))))))))))))))))))))) :|: x1473 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1473)))))))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 3'(0'(3'(3'(3'(3'(3'(2'(3'(3'(3'(1'(0'(0'(3'(2'(0'(2'(2'(1'(2'(3'(0'(3'(0'(2'(1'(0'(2'(0'(3'(1'(3'(0'(3'(3'(2'(2'(3'(x1472))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1472))))))))))))))))))))))))))))))))))))), x1472 >= 0
   0'(z) -{ 2 }-> 3'(0'(3'(3'(3'(3'(3'(2'(3'(3'(3'(1'(0'(0'(3'(2'(0'(2'(2'(1'(1'(1'(0'(2'(3'(3'(0'(3'(1'(3'(0'(2'(1'(1'(0'(3'(2'(3'(3'(x1477))))))))))))))))))))))))))))))))))))))) :|: x1477 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1477)))))))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 3'(0'(3'(3'(3'(3'(3'(2'(3'(3'(3'(1'(0'(0'(3'(2'(0'(2'(2'(1'(0'(2'(1'(2'(1'(2'(3'(2'(0'(3'(3'(3'(3'(3'(0'(0'(2'(0'(0'(x1468))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1468))))))))))))))))))))))))))))))))))))), x1468 >= 0
   0'(z) -{ 2 }-> 3'(0'(3'(3'(3'(3'(3'(2'(3'(3'(3'(1'(0'(0'(3'(2'(0'(2'(2'(0'(3'(2'(3'(3'(3'(0'(0'(0'(1'(0'(3'(1'(2'(3'(2'(3'(0'(0'(3'(x1469))))))))))))))))))))))))))))))))))))))) :|: x1469 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1469)))))))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 3'(0'(3'(3'(3'(3'(3'(2'(3'(3'(3'(1'(0'(0'(3'(2'(0'(2'(2'(0'(3'(1'(1'(3'(0'(1'(1'(2'(3'(0'(1'(0'(0'(1'(0'(3'(3'(0'(0'(x1479))))))))))))))))))))))))))))))))))))))) :|: x1479 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1479)))))))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 3'(0'(3'(3'(3'(3'(3'(2'(3'(3'(3'(1'(0'(0'(3'(2'(0'(2'(2'(0'(2'(2'(3'(3'(0'(2'(0'(0'(0'(1'(0'(2'(3'(3'(0'(3'(0'(1'(3'(x1467))))))))))))))))))))))))))))))))))))))) :|: x1467 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1467)))))))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 3'(0'(3'(3'(3'(3'(3'(2'(3'(3'(3'(1'(0'(0'(3'(2'(0'(2'(2'(0'(2'(2'(0'(1'(1'(3'(0'(1'(1'(3'(3'(0'(3'(3'(0'(3'(1'(3'(1'(x1476))))))))))))))))))))))))))))))))))))))) :|: x1476 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1476)))))))))))))))))))))))))))))))))))))
   0'(z) -{ 1 }-> 3'(0'(3'(3'(3'(3'(3'(2'(3'(3'(3'(1'(0'(0'(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))))))))))))))))))
   0'(z) -{ 1 }-> 3'(0'(3'(3'(3'(3'(3'(2'(3'(3'(3'(1'(0'(0'(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))))))))))))))))))
   0'(z) -{ 1 }-> 3'(0'(3'(1'(1'(0'(2'(3'(0'(3'(3'(1'(3'(1'(0'(3'(0'(1'(2'(3'(x1)))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   0'(z) -{ 2 }-> 3'(0'(2'(1'(3'(3'(3'(3'(1'(3'(2'(2'(1'(0'(0'(0'(3'(0'(1'(3'(2'(3'(3'(3'(3'(3'(0'(1'(3'(0'(3'(1'(2'(0'(3'(3'(3'(1'(2'(x12297))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x12297))))))))))))))))))))))))))))))))))))), x12297 >= 0
   0'(z) -{ 2 }-> 3'(0'(2'(1'(3'(3'(3'(3'(1'(3'(2'(2'(1'(0'(0'(0'(3'(0'(1'(3'(1'(3'(1'(3'(3'(3'(2'(2'(0'(0'(3'(0'(1'(3'(0'(0'(2'(0'(0'(x12302))))))))))))))))))))))))))))))))))))))) :|: x12302 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x12302)))))))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 3'(0'(2'(1'(3'(3'(3'(3'(1'(3'(2'(2'(1'(0'(0'(0'(3'(0'(1'(2'(3'(3'(3'(0'(1'(1'(3'(3'(3'(0'(1'(2'(3'(0'(0'(2'(2'(0'(0'(x12305))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x12305))))))))))))))))))))))))))))))))))))), x12305 >= 0
   0'(z) -{ 2 }-> 3'(0'(2'(1'(3'(3'(3'(3'(1'(3'(2'(2'(1'(0'(0'(0'(3'(0'(1'(2'(3'(3'(0'(1'(0'(3'(2'(3'(3'(1'(0'(0'(0'(1'(0'(0'(2'(3'(3'(x12307))))))))))))))))))))))))))))))))))))))) :|: x12307 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x12307)))))))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 3'(0'(2'(1'(3'(3'(3'(3'(1'(3'(2'(2'(1'(0'(0'(0'(3'(0'(1'(2'(2'(1'(3'(3'(3'(3'(0'(3'(0'(3'(3'(3'(0'(0'(3'(3'(0'(0'(0'(x12308))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x12308))))))))))))))))))))))))))))))))))))), x12308 >= 0
   0'(z) -{ 2 }-> 3'(0'(2'(1'(3'(3'(3'(3'(1'(3'(2'(2'(1'(0'(0'(0'(3'(0'(1'(2'(2'(0'(0'(3'(3'(1'(2'(1'(3'(3'(0'(2'(3'(2'(2'(1'(2'(3'(3'(x12301))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x12301))))))))))))))))))))))))))))))))))))), x12301 >= 0
   0'(z) -{ 2 }-> 3'(0'(2'(1'(3'(3'(3'(3'(1'(3'(2'(2'(1'(0'(0'(0'(3'(0'(1'(1'(3'(3'(3'(2'(1'(3'(3'(0'(2'(0'(3'(1'(2'(0'(3'(0'(3'(2'(0'(x12298))))))))))))))))))))))))))))))))))))))) :|: x12298 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x12298)))))))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 3'(0'(2'(1'(3'(3'(3'(3'(1'(3'(2'(2'(1'(0'(0'(0'(3'(0'(1'(1'(3'(0'(0'(0'(3'(1'(0'(1'(1'(3'(1'(0'(0'(3'(1'(2'(0'(3'(3'(x12300))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x12300))))))))))))))))))))))))))))))))))))), x12300 >= 0
   0'(z) -{ 2 }-> 3'(0'(2'(1'(3'(3'(3'(3'(1'(3'(2'(2'(1'(0'(0'(0'(3'(0'(1'(1'(2'(3'(0'(3'(0'(2'(1'(0'(2'(0'(3'(1'(3'(0'(3'(3'(2'(2'(3'(x12299))))))))))))))))))))))))))))))))))))))) :|: x12299 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x12299)))))))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 3'(0'(2'(1'(3'(3'(3'(3'(1'(3'(2'(2'(1'(0'(0'(0'(3'(0'(1'(1'(1'(1'(0'(2'(3'(3'(0'(3'(1'(3'(0'(2'(1'(1'(0'(3'(2'(3'(3'(x12304))))))))))))))))))))))))))))))))))))))) :|: x12304 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x12304)))))))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 3'(0'(2'(1'(3'(3'(3'(3'(1'(3'(2'(2'(1'(0'(0'(0'(3'(0'(1'(1'(0'(2'(1'(2'(1'(2'(3'(2'(0'(3'(3'(3'(3'(3'(0'(0'(2'(0'(0'(x12295))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x12295))))))))))))))))))))))))))))))))))))), x12295 >= 0
   0'(z) -{ 2 }-> 3'(0'(2'(1'(3'(3'(3'(3'(1'(3'(2'(2'(1'(0'(0'(0'(3'(0'(1'(0'(3'(2'(3'(3'(3'(0'(0'(0'(1'(0'(3'(1'(2'(3'(2'(3'(0'(0'(3'(x12296))))))))))))))))))))))))))))))))))))))) :|: x12296 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x12296)))))))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 3'(0'(2'(1'(3'(3'(3'(3'(1'(3'(2'(2'(1'(0'(0'(0'(3'(0'(1'(0'(3'(1'(1'(3'(0'(1'(1'(2'(3'(0'(1'(0'(0'(1'(0'(3'(3'(0'(0'(x12306))))))))))))))))))))))))))))))))))))))) :|: x12306 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x12306)))))))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 3'(0'(2'(1'(3'(3'(3'(3'(1'(3'(2'(2'(1'(0'(0'(0'(3'(0'(1'(0'(2'(2'(3'(3'(0'(2'(0'(0'(0'(1'(0'(2'(3'(3'(0'(3'(0'(1'(3'(x12294))))))))))))))))))))))))))))))))))))))) :|: x12294 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x12294)))))))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 3'(0'(2'(1'(3'(3'(3'(3'(1'(3'(2'(2'(1'(0'(0'(0'(3'(0'(1'(0'(2'(2'(0'(1'(1'(3'(0'(1'(1'(3'(3'(0'(3'(3'(0'(3'(1'(3'(1'(x12303))))))))))))))))))))))))))))))))))))))) :|: x12303 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x12303)))))))))))))))))))))))))))))))))))))
   0'(z) -{ 1 }-> 3'(0'(2'(1'(3'(3'(3'(3'(1'(3'(2'(2'(1'(0'(0'(0'(3'(0'(1'(0))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   0'(z) -{ 1 }-> 3'(0'(2'(1'(3'(3'(3'(3'(1'(3'(2'(2'(1'(0'(0'(0'(3'(0'(1'(1 + x1))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   0'(z) -{ 1 }-> 3'(0'(1'(2'(1'(2'(0'(2'(2'(1'(3'(2'(2'(3'(3'(3'(3'(3'(3'(3'(x1)))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   0'(z) -{ 1 }-> 2'(3'(1'(2'(3'(2'(3'(3'(0'(2'(3'(3'(0'(0'(0'(2'(1'(2'(3'(3'(x1)))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   0'(z) -{ 1 }-> 1'(3'(3'(3'(0'(1'(0'(0'(3'(0'(1'(3'(3'(3'(3'(0'(2'(3'(2'(3'(x1)))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   0'(z) -{ 1 }-> 1'(3'(0'(1'(3'(0'(3'(0'(3'(0'(1'(0'(2'(3'(0'(2'(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))))))))))))))))))
   0'(z) -{ 1 }-> 1'(2'(3'(3'(0'(1'(3'(3'(0'(1'(0'(3'(3'(3'(0'(2'(0'(2'(1'(3'(x1)))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   0'(z) -{ 1 }-> 1'(1'(1'(3'(1'(3'(0'(2'(3'(2'(3'(0'(2'(3'(3'(2'(3'(3'(0'(3'(x1)))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   0'(z) -{ 1 }-> 1'(0'(2'(1'(3'(0'(1'(0'(2'(3'(0'(0'(3'(3'(0'(1'(0'(0'(1'(0'(x1)))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   0'(z) -{ 1 }-> 0'(3'(3'(2'(2'(3'(2'(3'(2'(0'(0'(2'(3'(3'(3'(3'(3'(0'(1'(0'(x1)))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   0'(z) -{ 1 }-> 0'(3'(3'(2'(0'(1'(2'(3'(0'(0'(2'(2'(1'(3'(3'(3'(2'(3'(3'(3'(x1)))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   0'(z) -{ 1 }-> 0'(2'(3'(2'(3'(3'(1'(0'(0'(0'(3'(1'(1'(0'(2'(0'(0'(0'(3'(3'(x1)))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   0'(z) -{ 1 }-> 0'(1'(0'(2'(0'(0'(0'(0'(0'(3'(0'(0'(0'(2'(3'(2'(2'(3'(3'(0'(x1)))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   0'(z) -{ 1 }-> 0'(0'(3'(3'(2'(3'(3'(3'(0'(1'(1'(1'(2'(2'(3'(1'(3'(1'(1'(3'(x1)))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   0'(z) -{ 1 }-> 0'(0'(3'(0'(2'(1'(3'(3'(1'(3'(2'(3'(3'(3'(2'(0'(0'(1'(0'(2'(x1)))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   0'(z) -{ 1 }-> 0'(0'(3'(0'(0'(0'(2'(1'(0'(0'(1'(2'(0'(0'(3'(3'(3'(3'(1'(0'(x1)))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   0'(z) -{ 1 }-> 0'(0'(2'(0'(0'(3'(3'(1'(1'(1'(1'(3'(0'(1'(1'(0'(0'(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))))))))))))))))))
   0'(z) -{ 1 }-> 0'(0'(1'(3'(3'(0'(1'(3'(3'(0'(1'(2'(3'(2'(2'(0'(3'(2'(3'(3'(x1)))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   0'(z) -{ 1 }-> 0'(0'(1'(0'(2'(1'(3'(0'(1'(0'(0'(3'(1'(0'(3'(3'(2'(2'(3'(3'(x1)))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   0'(z) -{ 1 }-> 0'(0'(0'(2'(2'(1'(3'(3'(3'(0'(3'(3'(1'(3'(1'(1'(1'(1'(3'(3'(x1)))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   0'(z) -{ 0 }-> 0 :|: v0 >= 0, z = v0
   0'(z) -{ 0 }-> 1 + x0 :|: z = x0, x0 >= 0
   1'(z) -{ 1 }-> 3'(2'(3'(3'(3'(3'(3'(0'(1'(3'(0'(3'(1'(2'(0'(3'(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))))))))))))))))))
   1'(z) -{ 1 }-> 3'(1'(3'(1'(3'(3'(3'(2'(2'(0'(0'(3'(0'(1'(3'(0'(0'(2'(0'(0'(x1)))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   1'(z) -{ 1 }-> 2'(3'(3'(3'(0'(1'(1'(3'(3'(3'(0'(1'(2'(3'(0'(0'(2'(2'(0'(0'(x1)))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   1'(z) -{ 1 }-> 2'(3'(3'(0'(1'(0'(3'(2'(3'(3'(1'(0'(0'(0'(1'(0'(0'(2'(3'(3'(x1)))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   1'(z) -{ 1 }-> 2'(2'(1'(3'(3'(3'(3'(0'(3'(0'(3'(3'(3'(0'(0'(3'(3'(0'(0'(0'(x1)))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   1'(z) -{ 1 }-> 2'(2'(0'(0'(3'(3'(1'(2'(1'(3'(3'(0'(2'(3'(2'(2'(1'(2'(3'(3'(x1)))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   1'(z) -{ 1 }-> 1'(3'(3'(3'(2'(1'(3'(3'(0'(2'(0'(3'(1'(2'(0'(3'(0'(3'(2'(0'(x1)))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   1'(z) -{ 1 }-> 1'(3'(0'(0'(0'(3'(1'(0'(1'(1'(3'(1'(0'(0'(3'(1'(2'(0'(3'(3'(x1)))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   1'(z) -{ 1 }-> 1'(2'(3'(0'(3'(0'(2'(1'(0'(2'(0'(3'(1'(3'(0'(3'(3'(2'(2'(3'(x1)))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   1'(z) -{ 1 }-> 1'(1'(1'(0'(2'(3'(3'(0'(3'(1'(3'(0'(2'(1'(1'(0'(3'(2'(3'(3'(x1)))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   1'(z) -{ 1 }-> 1'(0'(2'(1'(2'(1'(2'(3'(2'(0'(3'(3'(3'(3'(3'(0'(0'(2'(0'(0'(x1)))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   1'(z) -{ 1 }-> 0'(3'(2'(3'(3'(3'(0'(0'(0'(1'(0'(3'(1'(2'(3'(2'(3'(0'(0'(3'(x1)))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   1'(z) -{ 1 }-> 0'(3'(1'(1'(3'(0'(1'(1'(2'(3'(0'(1'(0'(0'(1'(0'(3'(3'(0'(0'(x1)))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   1'(z) -{ 1 }-> 0'(2'(2'(3'(3'(0'(2'(0'(0'(0'(1'(0'(2'(3'(3'(0'(3'(0'(1'(3'(x1)))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   1'(z) -{ 2 }-> 0'(2'(2'(0'(1'(1'(3'(0'(1'(1'(3'(3'(0'(3'(3'(0'(3'(1'(3'(3'(2'(3'(3'(3'(3'(3'(0'(1'(3'(0'(3'(1'(2'(0'(3'(3'(3'(1'(2'(x1890))))))))))))))))))))))))))))))))))))))) :|: x1890 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1890)))))))))))))))))))))))))))))))))))))
   1'(z) -{ 2 }-> 0'(2'(2'(0'(1'(1'(3'(0'(1'(1'(3'(3'(0'(3'(3'(0'(3'(1'(3'(3'(1'(3'(1'(3'(3'(3'(2'(2'(0'(0'(3'(0'(1'(3'(0'(0'(2'(0'(0'(x1895))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1895))))))))))))))))))))))))))))))))))))), x1895 >= 0
   1'(z) -{ 2 }-> 0'(2'(2'(0'(1'(1'(3'(0'(1'(1'(3'(3'(0'(3'(3'(0'(3'(1'(3'(2'(3'(3'(3'(0'(1'(1'(3'(3'(3'(0'(1'(2'(3'(0'(0'(2'(2'(0'(0'(x1898))))))))))))))))))))))))))))))))))))))) :|: x1898 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1898)))))))))))))))))))))))))))))))))))))
   1'(z) -{ 2 }-> 0'(2'(2'(0'(1'(1'(3'(0'(1'(1'(3'(3'(0'(3'(3'(0'(3'(1'(3'(2'(3'(3'(0'(1'(0'(3'(2'(3'(3'(1'(0'(0'(0'(1'(0'(0'(2'(3'(3'(x1900))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1900))))))))))))))))))))))))))))))))))))), x1900 >= 0
   1'(z) -{ 2 }-> 0'(2'(2'(0'(1'(1'(3'(0'(1'(1'(3'(3'(0'(3'(3'(0'(3'(1'(3'(2'(2'(1'(3'(3'(3'(3'(0'(3'(0'(3'(3'(3'(0'(0'(3'(3'(0'(0'(0'(x1901))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1901))))))))))))))))))))))))))))))))))))), x1901 >= 0
   1'(z) -{ 2 }-> 0'(2'(2'(0'(1'(1'(3'(0'(1'(1'(3'(3'(0'(3'(3'(0'(3'(1'(3'(2'(2'(0'(0'(3'(3'(1'(2'(1'(3'(3'(0'(2'(3'(2'(2'(1'(2'(3'(3'(x1894))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1894))))))))))))))))))))))))))))))))))))), x1894 >= 0
   1'(z) -{ 2 }-> 0'(2'(2'(0'(1'(1'(3'(0'(1'(1'(3'(3'(0'(3'(3'(0'(3'(1'(3'(1'(3'(3'(3'(2'(1'(3'(3'(0'(2'(0'(3'(1'(2'(0'(3'(0'(3'(2'(0'(x1891))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1891))))))))))))))))))))))))))))))))))))), x1891 >= 0
   1'(z) -{ 2 }-> 0'(2'(2'(0'(1'(1'(3'(0'(1'(1'(3'(3'(0'(3'(3'(0'(3'(1'(3'(1'(3'(0'(0'(0'(3'(1'(0'(1'(1'(3'(1'(0'(0'(3'(1'(2'(0'(3'(3'(x1893))))))))))))))))))))))))))))))))))))))) :|: x1893 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1893)))))))))))))))))))))))))))))))))))))
   1'(z) -{ 2 }-> 0'(2'(2'(0'(1'(1'(3'(0'(1'(1'(3'(3'(0'(3'(3'(0'(3'(1'(3'(1'(2'(3'(0'(3'(0'(2'(1'(0'(2'(0'(3'(1'(3'(0'(3'(3'(2'(2'(3'(x1892))))))))))))))))))))))))))))))))))))))) :|: x1892 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1892)))))))))))))))))))))))))))))))))))))
   1'(z) -{ 2 }-> 0'(2'(2'(0'(1'(1'(3'(0'(1'(1'(3'(3'(0'(3'(3'(0'(3'(1'(3'(1'(1'(1'(0'(2'(3'(3'(0'(3'(1'(3'(0'(2'(1'(1'(0'(3'(2'(3'(3'(x1897))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1897))))))))))))))))))))))))))))))))))))), x1897 >= 0
   1'(z) -{ 2 }-> 0'(2'(2'(0'(1'(1'(3'(0'(1'(1'(3'(3'(0'(3'(3'(0'(3'(1'(3'(1'(0'(2'(1'(2'(1'(2'(3'(2'(0'(3'(3'(3'(3'(3'(0'(0'(2'(0'(0'(x1888))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1888))))))))))))))))))))))))))))))))))))), x1888 >= 0
   1'(z) -{ 2 }-> 0'(2'(2'(0'(1'(1'(3'(0'(1'(1'(3'(3'(0'(3'(3'(0'(3'(1'(3'(0'(3'(2'(3'(3'(3'(0'(0'(0'(1'(0'(3'(1'(2'(3'(2'(3'(0'(0'(3'(x1889))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1889))))))))))))))))))))))))))))))))))))), x1889 >= 0
   1'(z) -{ 2 }-> 0'(2'(2'(0'(1'(1'(3'(0'(1'(1'(3'(3'(0'(3'(3'(0'(3'(1'(3'(0'(3'(1'(1'(3'(0'(1'(1'(2'(3'(0'(1'(0'(0'(1'(0'(3'(3'(0'(0'(x1899))))))))))))))))))))))))))))))))))))))) :|: x1899 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1899)))))))))))))))))))))))))))))))))))))
   1'(z) -{ 2 }-> 0'(2'(2'(0'(1'(1'(3'(0'(1'(1'(3'(3'(0'(3'(3'(0'(3'(1'(3'(0'(2'(2'(3'(3'(0'(2'(0'(0'(0'(1'(0'(2'(3'(3'(0'(3'(0'(1'(3'(x1887))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1887))))))))))))))))))))))))))))))))))))), x1887 >= 0
   1'(z) -{ 2 }-> 0'(2'(2'(0'(1'(1'(3'(0'(1'(1'(3'(3'(0'(3'(3'(0'(3'(1'(3'(0'(2'(2'(0'(1'(1'(3'(0'(1'(1'(3'(3'(0'(3'(3'(0'(3'(1'(3'(1'(x1896))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1896))))))))))))))))))))))))))))))))))))), x1896 >= 0
   1'(z) -{ 1 }-> 0'(2'(2'(0'(1'(1'(3'(0'(1'(1'(3'(3'(0'(3'(3'(0'(3'(1'(3'(0))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   1'(z) -{ 1 }-> 0'(2'(2'(0'(1'(1'(3'(0'(1'(1'(3'(3'(0'(3'(3'(0'(3'(1'(3'(1 + x1))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   1'(z) -{ 0 }-> 0 :|: v0 >= 0, z = v0
   1'(z) -{ 0 }-> 1 + x0 :|: z = x0, x0 >= 0
   2'(z) -{ 1 }-> 3'(3'(3'(0'(3'(3'(2'(3'(1'(3'(1'(3'(3'(0'(3'(3'(0'(2'(1'(0'(x1)))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   2'(z) -{ 2 }-> 3'(2'(0'(0'(0'(1'(3'(1'(3'(3'(1'(3'(0'(0'(2'(3'(0'(1'(1'(3'(2'(3'(3'(3'(3'(3'(0'(1'(3'(0'(3'(1'(2'(0'(3'(3'(3'(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)))))))))))))))))))))))))))))))))))))
   2'(z) -{ 2 }-> 3'(2'(0'(0'(0'(1'(3'(1'(3'(3'(1'(3'(0'(0'(2'(3'(0'(1'(1'(3'(1'(3'(1'(3'(3'(3'(2'(2'(0'(0'(3'(0'(1'(3'(0'(0'(2'(0'(0'(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
   2'(z) -{ 2 }-> 3'(2'(0'(0'(0'(1'(3'(1'(3'(3'(1'(3'(0'(0'(2'(3'(0'(1'(1'(2'(3'(3'(3'(0'(1'(1'(3'(3'(3'(0'(1'(2'(3'(0'(0'(2'(2'(0'(0'(x11270))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11270))))))))))))))))))))))))))))))))))))), x11270 >= 0
   2'(z) -{ 2 }-> 3'(2'(0'(0'(0'(1'(3'(1'(3'(3'(1'(3'(0'(0'(2'(3'(0'(1'(1'(2'(3'(3'(0'(1'(0'(3'(2'(3'(3'(1'(0'(0'(0'(1'(0'(0'(2'(3'(3'(x11272))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11272))))))))))))))))))))))))))))))))))))), x11272 >= 0
   2'(z) -{ 2 }-> 3'(2'(0'(0'(0'(1'(3'(1'(3'(3'(1'(3'(0'(0'(2'(3'(0'(1'(1'(2'(2'(1'(3'(3'(3'(3'(0'(3'(0'(3'(3'(3'(0'(0'(3'(3'(0'(0'(0'(x11273))))))))))))))))))))))))))))))))))))))) :|: x11273 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11273)))))))))))))))))))))))))))))))))))))
   2'(z) -{ 2 }-> 3'(2'(0'(0'(0'(1'(3'(1'(3'(3'(1'(3'(0'(0'(2'(3'(0'(1'(1'(2'(2'(0'(0'(3'(3'(1'(2'(1'(3'(3'(0'(2'(3'(2'(2'(1'(2'(3'(3'(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
   2'(z) -{ 2 }-> 3'(2'(0'(0'(0'(1'(3'(1'(3'(3'(1'(3'(0'(0'(2'(3'(0'(1'(1'(1'(3'(3'(3'(2'(1'(3'(3'(0'(2'(0'(3'(1'(2'(0'(3'(0'(3'(2'(0'(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)))))))))))))))))))))))))))))))))))))
   2'(z) -{ 2 }-> 3'(2'(0'(0'(0'(1'(3'(1'(3'(3'(1'(3'(0'(0'(2'(3'(0'(1'(1'(1'(3'(0'(0'(0'(3'(1'(0'(1'(1'(3'(1'(0'(0'(3'(1'(2'(0'(3'(3'(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)))))))))))))))))))))))))))))))))))))
   2'(z) -{ 2 }-> 3'(2'(0'(0'(0'(1'(3'(1'(3'(3'(1'(3'(0'(0'(2'(3'(0'(1'(1'(1'(2'(3'(0'(3'(0'(2'(1'(0'(2'(0'(3'(1'(3'(0'(3'(3'(2'(2'(3'(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)))))))))))))))))))))))))))))))))))))
   2'(z) -{ 2 }-> 3'(2'(0'(0'(0'(1'(3'(1'(3'(3'(1'(3'(0'(0'(2'(3'(0'(1'(1'(1'(1'(1'(0'(2'(3'(3'(0'(3'(1'(3'(0'(2'(1'(1'(0'(3'(2'(3'(3'(x11269))))))))))))))))))))))))))))))))))))))) :|: x11269 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11269)))))))))))))))))))))))))))))))))))))
   2'(z) -{ 2 }-> 3'(2'(0'(0'(0'(1'(3'(1'(3'(3'(1'(3'(0'(0'(2'(3'(0'(1'(1'(1'(0'(2'(1'(2'(1'(2'(3'(2'(0'(3'(3'(3'(3'(3'(0'(0'(2'(0'(0'(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)))))))))))))))))))))))))))))))))))))
   2'(z) -{ 2 }-> 3'(2'(0'(0'(0'(1'(3'(1'(3'(3'(1'(3'(0'(0'(2'(3'(0'(1'(1'(0'(3'(2'(3'(3'(3'(0'(0'(0'(1'(0'(3'(1'(2'(3'(2'(3'(0'(0'(3'(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)))))))))))))))))))))))))))))))))))))
   2'(z) -{ 2 }-> 3'(2'(0'(0'(0'(1'(3'(1'(3'(3'(1'(3'(0'(0'(2'(3'(0'(1'(1'(0'(3'(1'(1'(3'(0'(1'(1'(2'(3'(0'(1'(0'(0'(1'(0'(3'(3'(0'(0'(x11271))))))))))))))))))))))))))))))))))))))) :|: x11271 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11271)))))))))))))))))))))))))))))))))))))
   2'(z) -{ 2 }-> 3'(2'(0'(0'(0'(1'(3'(1'(3'(3'(1'(3'(0'(0'(2'(3'(0'(1'(1'(0'(2'(2'(3'(3'(0'(2'(0'(0'(0'(1'(0'(2'(3'(3'(0'(3'(0'(1'(3'(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)))))))))))))))))))))))))))))))))))))
   2'(z) -{ 2 }-> 3'(2'(0'(0'(0'(1'(3'(1'(3'(3'(1'(3'(0'(0'(2'(3'(0'(1'(1'(0'(2'(2'(0'(1'(1'(3'(0'(1'(1'(3'(3'(0'(3'(3'(0'(3'(1'(3'(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
   2'(z) -{ 1 }-> 3'(2'(0'(0'(0'(1'(3'(1'(3'(3'(1'(3'(0'(0'(2'(3'(0'(1'(1'(0))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   2'(z) -{ 1 }-> 3'(2'(0'(0'(0'(1'(3'(1'(3'(3'(1'(3'(0'(0'(2'(3'(0'(1'(1'(1 + x1))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   2'(z) -{ 1 }-> 3'(0'(2'(0'(3'(3'(2'(2'(3'(3'(0'(2'(3'(2'(1'(0'(0'(2'(1'(3'(x1)))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   2'(z) -{ 1 }-> 3'(0'(0'(0'(2'(0'(1'(0'(1'(0'(0'(1'(0'(0'(3'(1'(0'(1'(3'(3'(x1)))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   2'(z) -{ 1 }-> 2'(3'(3'(0'(3'(0'(0'(2'(3'(3'(1'(1'(3'(3'(0'(1'(2'(3'(2'(0'(x1)))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   2'(z) -{ 1 }-> 2'(3'(1'(3'(1'(3'(0'(1'(3'(0'(0'(1'(3'(3'(3'(0'(0'(1'(0'(2'(x1)))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   2'(z) -{ 1 }-> 2'(3'(1'(1'(0'(3'(2'(2'(1'(3'(0'(3'(3'(2'(0'(0'(1'(1'(3'(3'(x1)))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   2'(z) -{ 1 }-> 2'(2'(3'(3'(0'(1'(0'(3'(0'(0'(0'(1'(1'(3'(1'(0'(2'(2'(0'(3'(x1)))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   2'(z) -{ 2 }-> 2'(2'(3'(1'(1'(0'(1'(0'(1'(1'(0'(1'(0'(3'(3'(1'(3'(3'(3'(3'(2'(3'(3'(3'(3'(3'(0'(1'(3'(0'(3'(1'(2'(0'(3'(3'(3'(1'(2'(x12099))))))))))))))))))))))))))))))))))))))) :|: x12099 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x12099)))))))))))))))))))))))))))))))))))))
   2'(z) -{ 2 }-> 2'(2'(3'(1'(1'(0'(1'(0'(1'(1'(0'(1'(0'(3'(3'(1'(3'(3'(3'(3'(1'(3'(1'(3'(3'(3'(2'(2'(0'(0'(3'(0'(1'(3'(0'(0'(2'(0'(0'(x12104))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x12104))))))))))))))))))))))))))))))))))))), x12104 >= 0
   2'(z) -{ 2 }-> 2'(2'(3'(1'(1'(0'(1'(0'(1'(1'(0'(1'(0'(3'(3'(1'(3'(3'(3'(2'(3'(3'(3'(0'(1'(1'(3'(3'(3'(0'(1'(2'(3'(0'(0'(2'(2'(0'(0'(x12107))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x12107))))))))))))))))))))))))))))))))))))), x12107 >= 0
   2'(z) -{ 2 }-> 2'(2'(3'(1'(1'(0'(1'(0'(1'(1'(0'(1'(0'(3'(3'(1'(3'(3'(3'(2'(3'(3'(0'(1'(0'(3'(2'(3'(3'(1'(0'(0'(0'(1'(0'(0'(2'(3'(3'(x12109))))))))))))))))))))))))))))))))))))))) :|: x12109 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x12109)))))))))))))))))))))))))))))))))))))
   2'(z) -{ 2 }-> 2'(2'(3'(1'(1'(0'(1'(0'(1'(1'(0'(1'(0'(3'(3'(1'(3'(3'(3'(2'(2'(1'(3'(3'(3'(3'(0'(3'(0'(3'(3'(3'(0'(0'(3'(3'(0'(0'(0'(x12110))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x12110))))))))))))))))))))))))))))))))))))), x12110 >= 0
   2'(z) -{ 2 }-> 2'(2'(3'(1'(1'(0'(1'(0'(1'(1'(0'(1'(0'(3'(3'(1'(3'(3'(3'(2'(2'(0'(0'(3'(3'(1'(2'(1'(3'(3'(0'(2'(3'(2'(2'(1'(2'(3'(3'(x12103))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x12103))))))))))))))))))))))))))))))))))))), x12103 >= 0
   2'(z) -{ 2 }-> 2'(2'(3'(1'(1'(0'(1'(0'(1'(1'(0'(1'(0'(3'(3'(1'(3'(3'(3'(1'(3'(3'(3'(2'(1'(3'(3'(0'(2'(0'(3'(1'(2'(0'(3'(0'(3'(2'(0'(x12100))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x12100))))))))))))))))))))))))))))))))))))), x12100 >= 0
   2'(z) -{ 2 }-> 2'(2'(3'(1'(1'(0'(1'(0'(1'(1'(0'(1'(0'(3'(3'(1'(3'(3'(3'(1'(3'(0'(0'(0'(3'(1'(0'(1'(1'(3'(1'(0'(0'(3'(1'(2'(0'(3'(3'(x12102))))))))))))))))))))))))))))))))))))))) :|: x12102 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x12102)))))))))))))))))))))))))))))))))))))
   2'(z) -{ 2 }-> 2'(2'(3'(1'(1'(0'(1'(0'(1'(1'(0'(1'(0'(3'(3'(1'(3'(3'(3'(1'(2'(3'(0'(3'(0'(2'(1'(0'(2'(0'(3'(1'(3'(0'(3'(3'(2'(2'(3'(x12101))))))))))))))))))))))))))))))))))))))) :|: x12101 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x12101)))))))))))))))))))))))))))))))))))))
   2'(z) -{ 2 }-> 2'(2'(3'(1'(1'(0'(1'(0'(1'(1'(0'(1'(0'(3'(3'(1'(3'(3'(3'(1'(1'(1'(0'(2'(3'(3'(0'(3'(1'(3'(0'(2'(1'(1'(0'(3'(2'(3'(3'(x12106))))))))))))))))))))))))))))))))))))))) :|: x12106 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x12106)))))))))))))))))))))))))))))))))))))
   2'(z) -{ 2 }-> 2'(2'(3'(1'(1'(0'(1'(0'(1'(1'(0'(1'(0'(3'(3'(1'(3'(3'(3'(1'(0'(2'(1'(2'(1'(2'(3'(2'(0'(3'(3'(3'(3'(3'(0'(0'(2'(0'(0'(x12097))))))))))))))))))))))))))))))))))))))) :|: x12097 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x12097)))))))))))))))))))))))))))))))))))))
   2'(z) -{ 2 }-> 2'(2'(3'(1'(1'(0'(1'(0'(1'(1'(0'(1'(0'(3'(3'(1'(3'(3'(3'(0'(3'(2'(3'(3'(3'(0'(0'(0'(1'(0'(3'(1'(2'(3'(2'(3'(0'(0'(3'(x12098))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x12098))))))))))))))))))))))))))))))))))))), x12098 >= 0
   2'(z) -{ 2 }-> 2'(2'(3'(1'(1'(0'(1'(0'(1'(1'(0'(1'(0'(3'(3'(1'(3'(3'(3'(0'(3'(1'(1'(3'(0'(1'(1'(2'(3'(0'(1'(0'(0'(1'(0'(3'(3'(0'(0'(x12108))))))))))))))))))))))))))))))))))))))) :|: x12108 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x12108)))))))))))))))))))))))))))))))))))))
   2'(z) -{ 2 }-> 2'(2'(3'(1'(1'(0'(1'(0'(1'(1'(0'(1'(0'(3'(3'(1'(3'(3'(3'(0'(2'(2'(3'(3'(0'(2'(0'(0'(0'(1'(0'(2'(3'(3'(0'(3'(0'(1'(3'(x12096))))))))))))))))))))))))))))))))))))))) :|: x12096 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x12096)))))))))))))))))))))))))))))))))))))
   2'(z) -{ 2 }-> 2'(2'(3'(1'(1'(0'(1'(0'(1'(1'(0'(1'(0'(3'(3'(1'(3'(3'(3'(0'(2'(2'(0'(1'(1'(3'(0'(1'(1'(3'(3'(0'(3'(3'(0'(3'(1'(3'(1'(x12105))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x12105))))))))))))))))))))))))))))))))))))), x12105 >= 0
   2'(z) -{ 1 }-> 2'(2'(3'(1'(1'(0'(1'(0'(1'(1'(0'(1'(0'(3'(3'(1'(3'(3'(3'(0))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   2'(z) -{ 1 }-> 2'(2'(3'(1'(1'(0'(1'(0'(1'(1'(0'(1'(0'(3'(3'(1'(3'(3'(3'(1 + x1))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   2'(z) -{ 1 }-> 2'(2'(2'(3'(2'(1'(3'(0'(3'(3'(3'(0'(2'(3'(3'(1'(2'(0'(3'(3'(x1)))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   2'(z) -{ 1 }-> 2'(2'(2'(0'(0'(1'(0'(0'(1'(3'(3'(3'(3'(3'(2'(1'(0'(0'(0'(3'(x1)))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   2'(z) -{ 2 }-> 2'(2'(1'(3'(0'(0'(1'(3'(0'(3'(3'(0'(3'(3'(1'(0'(1'(1'(0'(3'(2'(3'(3'(3'(3'(3'(0'(1'(3'(0'(3'(1'(2'(0'(3'(3'(3'(1'(2'(x12171))))))))))))))))))))))))))))))))))))))) :|: x12171 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x12171)))))))))))))))))))))))))))))))))))))
   2'(z) -{ 2 }-> 2'(2'(1'(3'(0'(0'(1'(3'(0'(3'(3'(0'(3'(3'(1'(0'(1'(1'(0'(3'(1'(3'(1'(3'(3'(3'(2'(2'(0'(0'(3'(0'(1'(3'(0'(0'(2'(0'(0'(x12176))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x12176))))))))))))))))))))))))))))))))))))), x12176 >= 0
   2'(z) -{ 2 }-> 2'(2'(1'(3'(0'(0'(1'(3'(0'(3'(3'(0'(3'(3'(1'(0'(1'(1'(0'(2'(3'(3'(3'(0'(1'(1'(3'(3'(3'(0'(1'(2'(3'(0'(0'(2'(2'(0'(0'(x12179))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x12179))))))))))))))))))))))))))))))))))))), x12179 >= 0
   2'(z) -{ 2 }-> 2'(2'(1'(3'(0'(0'(1'(3'(0'(3'(3'(0'(3'(3'(1'(0'(1'(1'(0'(2'(3'(3'(0'(1'(0'(3'(2'(3'(3'(1'(0'(0'(0'(1'(0'(0'(2'(3'(3'(x12181))))))))))))))))))))))))))))))))))))))) :|: x12181 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x12181)))))))))))))))))))))))))))))))))))))
   2'(z) -{ 2 }-> 2'(2'(1'(3'(0'(0'(1'(3'(0'(3'(3'(0'(3'(3'(1'(0'(1'(1'(0'(2'(2'(1'(3'(3'(3'(3'(0'(3'(0'(3'(3'(3'(0'(0'(3'(3'(0'(0'(0'(x12182))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x12182))))))))))))))))))))))))))))))))))))), x12182 >= 0
   2'(z) -{ 2 }-> 2'(2'(1'(3'(0'(0'(1'(3'(0'(3'(3'(0'(3'(3'(1'(0'(1'(1'(0'(2'(2'(0'(0'(3'(3'(1'(2'(1'(3'(3'(0'(2'(3'(2'(2'(1'(2'(3'(3'(x12175))))))))))))))))))))))))))))))))))))))) :|: x12175 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x12175)))))))))))))))))))))))))))))))))))))
   2'(z) -{ 2 }-> 2'(2'(1'(3'(0'(0'(1'(3'(0'(3'(3'(0'(3'(3'(1'(0'(1'(1'(0'(1'(3'(3'(3'(2'(1'(3'(3'(0'(2'(0'(3'(1'(2'(0'(3'(0'(3'(2'(0'(x12172))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x12172))))))))))))))))))))))))))))))))))))), x12172 >= 0
   2'(z) -{ 2 }-> 2'(2'(1'(3'(0'(0'(1'(3'(0'(3'(3'(0'(3'(3'(1'(0'(1'(1'(0'(1'(3'(0'(0'(0'(3'(1'(0'(1'(1'(3'(1'(0'(0'(3'(1'(2'(0'(3'(3'(x12174))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x12174))))))))))))))))))))))))))))))))))))), x12174 >= 0
   2'(z) -{ 2 }-> 2'(2'(1'(3'(0'(0'(1'(3'(0'(3'(3'(0'(3'(3'(1'(0'(1'(1'(0'(1'(2'(3'(0'(3'(0'(2'(1'(0'(2'(0'(3'(1'(3'(0'(3'(3'(2'(2'(3'(x12173))))))))))))))))))))))))))))))))))))))) :|: x12173 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x12173)))))))))))))))))))))))))))))))))))))
   2'(z) -{ 2 }-> 2'(2'(1'(3'(0'(0'(1'(3'(0'(3'(3'(0'(3'(3'(1'(0'(1'(1'(0'(1'(1'(1'(0'(2'(3'(3'(0'(3'(1'(3'(0'(2'(1'(1'(0'(3'(2'(3'(3'(x12178))))))))))))))))))))))))))))))))))))))) :|: x12178 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x12178)))))))))))))))))))))))))))))))))))))
   2'(z) -{ 2 }-> 2'(2'(1'(3'(0'(0'(1'(3'(0'(3'(3'(0'(3'(3'(1'(0'(1'(1'(0'(1'(0'(2'(1'(2'(1'(2'(3'(2'(0'(3'(3'(3'(3'(3'(0'(0'(2'(0'(0'(x12169))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x12169))))))))))))))))))))))))))))))))))))), x12169 >= 0
   2'(z) -{ 2 }-> 2'(2'(1'(3'(0'(0'(1'(3'(0'(3'(3'(0'(3'(3'(1'(0'(1'(1'(0'(0'(3'(2'(3'(3'(3'(0'(0'(0'(1'(0'(3'(1'(2'(3'(2'(3'(0'(0'(3'(x12170))))))))))))))))))))))))))))))))))))))) :|: x12170 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x12170)))))))))))))))))))))))))))))))))))))
   2'(z) -{ 2 }-> 2'(2'(1'(3'(0'(0'(1'(3'(0'(3'(3'(0'(3'(3'(1'(0'(1'(1'(0'(0'(3'(1'(1'(3'(0'(1'(1'(2'(3'(0'(1'(0'(0'(1'(0'(3'(3'(0'(0'(x12180))))))))))))))))))))))))))))))))))))))) :|: x12180 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x12180)))))))))))))))))))))))))))))))))))))
   2'(z) -{ 2 }-> 2'(2'(1'(3'(0'(0'(1'(3'(0'(3'(3'(0'(3'(3'(1'(0'(1'(1'(0'(0'(2'(2'(3'(3'(0'(2'(0'(0'(0'(1'(0'(2'(3'(3'(0'(3'(0'(1'(3'(x12168))))))))))))))))))))))))))))))))))))))) :|: x12168 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x12168)))))))))))))))))))))))))))))))))))))
   2'(z) -{ 2 }-> 2'(2'(1'(3'(0'(0'(1'(3'(0'(3'(3'(0'(3'(3'(1'(0'(1'(1'(0'(0'(2'(2'(0'(1'(1'(3'(0'(1'(1'(3'(3'(0'(3'(3'(0'(3'(1'(3'(1'(x12177))))))))))))))))))))))))))))))))))))))) :|: x12177 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x12177)))))))))))))))))))))))))))))))))))))
   2'(z) -{ 1 }-> 2'(2'(1'(3'(0'(0'(1'(3'(0'(3'(3'(0'(3'(3'(1'(0'(1'(1'(0'(0))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   2'(z) -{ 1 }-> 2'(2'(1'(3'(0'(0'(1'(3'(0'(3'(3'(0'(3'(3'(1'(0'(1'(1'(0'(1 + x1))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   2'(z) -{ 1 }-> 2'(2'(0'(3'(2'(0'(0'(1'(2'(1'(1'(3'(1'(3'(3'(0'(3'(3'(3'(0'(x1)))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   2'(z) -{ 1 }-> 2'(2'(0'(1'(3'(3'(1'(2'(0'(0'(0'(3'(3'(0'(1'(3'(1'(3'(0'(3'(x1)))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   2'(z) -{ 1 }-> 2'(2'(0'(0'(3'(3'(3'(1'(1'(0'(0'(3'(3'(2'(1'(1'(0'(2'(2'(3'(x1)))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   2'(z) -{ 1 }-> 2'(0'(1'(3'(2'(1'(3'(1'(3'(1'(1'(3'(3'(1'(3'(3'(0'(0'(3'(3'(x1)))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   2'(z) -{ 1 }-> 2'(0'(1'(3'(0'(2'(2'(3'(2'(0'(3'(3'(2'(0'(3'(1'(0'(3'(0'(2'(x1)))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   2'(z) -{ 1 }-> 2'(0'(0'(0'(3'(0'(3'(1'(3'(2'(0'(0'(1'(1'(3'(0'(0'(3'(2'(3'(x1)))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   2'(z) -{ 1 }-> 2'(0'(0'(0'(1'(0'(0'(3'(1'(1'(1'(3'(0'(0'(3'(0'(1'(3'(3'(2'(x1)))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   2'(z) -{ 2 }-> 1'(3'(3'(3'(0'(1'(2'(1'(1'(3'(3'(0'(3'(0'(2'(2'(2'(2'(1'(3'(2'(3'(3'(3'(3'(3'(0'(1'(3'(0'(3'(1'(2'(0'(3'(3'(3'(1'(2'(x129))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x129))))))))))))))))))))))))))))))))))))), x129 >= 0
   2'(z) -{ 2 }-> 1'(3'(3'(3'(0'(1'(2'(1'(1'(3'(3'(0'(3'(0'(2'(2'(2'(2'(1'(3'(1'(3'(1'(3'(3'(3'(2'(2'(0'(0'(3'(0'(1'(3'(0'(0'(2'(0'(0'(x134))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x134))))))))))))))))))))))))))))))))))))), x134 >= 0
   2'(z) -{ 2 }-> 1'(3'(3'(3'(0'(1'(2'(1'(1'(3'(3'(0'(3'(0'(2'(2'(2'(2'(1'(2'(3'(3'(3'(0'(1'(1'(3'(3'(3'(0'(1'(2'(3'(0'(0'(2'(2'(0'(0'(x137))))))))))))))))))))))))))))))))))))))) :|: x137 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x137)))))))))))))))))))))))))))))))))))))
   2'(z) -{ 2 }-> 1'(3'(3'(3'(0'(1'(2'(1'(1'(3'(3'(0'(3'(0'(2'(2'(2'(2'(1'(2'(3'(3'(0'(1'(0'(3'(2'(3'(3'(1'(0'(0'(0'(1'(0'(0'(2'(3'(3'(x139))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x139))))))))))))))))))))))))))))))))))))), x139 >= 0
   2'(z) -{ 2 }-> 1'(3'(3'(3'(0'(1'(2'(1'(1'(3'(3'(0'(3'(0'(2'(2'(2'(2'(1'(2'(2'(1'(3'(3'(3'(3'(0'(3'(0'(3'(3'(3'(0'(0'(3'(3'(0'(0'(0'(x140))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x140))))))))))))))))))))))))))))))))))))), x140 >= 0
   2'(z) -{ 2 }-> 1'(3'(3'(3'(0'(1'(2'(1'(1'(3'(3'(0'(3'(0'(2'(2'(2'(2'(1'(2'(2'(0'(0'(3'(3'(1'(2'(1'(3'(3'(0'(2'(3'(2'(2'(1'(2'(3'(3'(x133))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x133))))))))))))))))))))))))))))))))))))), x133 >= 0
   2'(z) -{ 2 }-> 1'(3'(3'(3'(0'(1'(2'(1'(1'(3'(3'(0'(3'(0'(2'(2'(2'(2'(1'(1'(3'(3'(3'(2'(1'(3'(3'(0'(2'(0'(3'(1'(2'(0'(3'(0'(3'(2'(0'(x130))))))))))))))))))))))))))))))))))))))) :|: x130 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x130)))))))))))))))))))))))))))))))))))))
   2'(z) -{ 2 }-> 1'(3'(3'(3'(0'(1'(2'(1'(1'(3'(3'(0'(3'(0'(2'(2'(2'(2'(1'(1'(3'(0'(0'(0'(3'(1'(0'(1'(1'(3'(1'(0'(0'(3'(1'(2'(0'(3'(3'(x132))))))))))))))))))))))))))))))))))))))) :|: x132 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x132)))))))))))))))))))))))))))))))))))))
   2'(z) -{ 2 }-> 1'(3'(3'(3'(0'(1'(2'(1'(1'(3'(3'(0'(3'(0'(2'(2'(2'(2'(1'(1'(2'(3'(0'(3'(0'(2'(1'(0'(2'(0'(3'(1'(3'(0'(3'(3'(2'(2'(3'(x131))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x131))))))))))))))))))))))))))))))))))))), x131 >= 0
   2'(z) -{ 2 }-> 1'(3'(3'(3'(0'(1'(2'(1'(1'(3'(3'(0'(3'(0'(2'(2'(2'(2'(1'(1'(1'(1'(0'(2'(3'(3'(0'(3'(1'(3'(0'(2'(1'(1'(0'(3'(2'(3'(3'(x136))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x136))))))))))))))))))))))))))))))))))))), x136 >= 0
   2'(z) -{ 2 }-> 1'(3'(3'(3'(0'(1'(2'(1'(1'(3'(3'(0'(3'(0'(2'(2'(2'(2'(1'(1'(0'(2'(1'(2'(1'(2'(3'(2'(0'(3'(3'(3'(3'(3'(0'(0'(2'(0'(0'(x127))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x127))))))))))))))))))))))))))))))))))))), x127 >= 0
   2'(z) -{ 2 }-> 1'(3'(3'(3'(0'(1'(2'(1'(1'(3'(3'(0'(3'(0'(2'(2'(2'(2'(1'(0'(3'(2'(3'(3'(3'(0'(0'(0'(1'(0'(3'(1'(2'(3'(2'(3'(0'(0'(3'(x128))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x128))))))))))))))))))))))))))))))))))))), x128 >= 0
   2'(z) -{ 2 }-> 1'(3'(3'(3'(0'(1'(2'(1'(1'(3'(3'(0'(3'(0'(2'(2'(2'(2'(1'(0'(3'(1'(1'(3'(0'(1'(1'(2'(3'(0'(1'(0'(0'(1'(0'(3'(3'(0'(0'(x138))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x138))))))))))))))))))))))))))))))))))))), x138 >= 0
   2'(z) -{ 2 }-> 1'(3'(3'(3'(0'(1'(2'(1'(1'(3'(3'(0'(3'(0'(2'(2'(2'(2'(1'(0'(2'(2'(3'(3'(0'(2'(0'(0'(0'(1'(0'(2'(3'(3'(0'(3'(0'(1'(3'(x126))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x126))))))))))))))))))))))))))))))))))))), x126 >= 0
   2'(z) -{ 2 }-> 1'(3'(3'(3'(0'(1'(2'(1'(1'(3'(3'(0'(3'(0'(2'(2'(2'(2'(1'(0'(2'(2'(0'(1'(1'(3'(0'(1'(1'(3'(3'(0'(3'(3'(0'(3'(1'(3'(1'(x135))))))))))))))))))))))))))))))))))))))) :|: x135 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x135)))))))))))))))))))))))))))))))))))))
   2'(z) -{ 1 }-> 1'(3'(3'(3'(0'(1'(2'(1'(1'(3'(3'(0'(3'(0'(2'(2'(2'(2'(1'(0))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   2'(z) -{ 1 }-> 1'(3'(3'(3'(0'(1'(2'(1'(1'(3'(3'(0'(3'(0'(2'(2'(2'(2'(1'(1 + x1))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   2'(z) -{ 1 }-> 1'(3'(0'(1'(2'(0'(2'(2'(3'(1'(3'(3'(3'(3'(3'(3'(0'(3'(0'(3'(x1)))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   2'(z) -{ 1 }-> 1'(3'(0'(0'(2'(0'(0'(2'(0'(3'(2'(2'(0'(1'(3'(3'(3'(0'(0'(3'(x1)))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   2'(z) -{ 1 }-> 1'(2'(2'(0'(0'(2'(3'(3'(3'(0'(3'(0'(1'(3'(1'(3'(2'(3'(3'(3'(x1)))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   2'(z) -{ 1 }-> 1'(2'(0'(3'(3'(3'(0'(2'(2'(0'(1'(0'(0'(1'(2'(2'(1'(3'(3'(0'(x1)))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   2'(z) -{ 1 }-> 1'(1'(1'(0'(1'(1'(2'(0'(2'(1'(0'(0'(3'(3'(0'(2'(0'(3'(0'(3'(x1)))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   2'(z) -{ 2 }-> 1'(0'(3'(3'(1'(3'(0'(1'(2'(3'(0'(1'(0'(3'(3'(0'(3'(2'(1'(3'(2'(3'(3'(3'(3'(3'(0'(1'(3'(0'(3'(1'(2'(0'(3'(3'(3'(1'(2'(x11712))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11712))))))))))))))))))))))))))))))))))))), x11712 >= 0
   2'(z) -{ 2 }-> 1'(0'(3'(3'(1'(3'(0'(1'(2'(3'(0'(1'(0'(3'(3'(0'(3'(2'(1'(3'(1'(3'(1'(3'(3'(3'(2'(2'(0'(0'(3'(0'(1'(3'(0'(0'(2'(0'(0'(x11717))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11717))))))))))))))))))))))))))))))))))))), x11717 >= 0
   2'(z) -{ 2 }-> 1'(0'(3'(3'(1'(3'(0'(1'(2'(3'(0'(1'(0'(3'(3'(0'(3'(2'(1'(2'(3'(3'(3'(0'(1'(1'(3'(3'(3'(0'(1'(2'(3'(0'(0'(2'(2'(0'(0'(x11720))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11720))))))))))))))))))))))))))))))))))))), x11720 >= 0
   2'(z) -{ 2 }-> 1'(0'(3'(3'(1'(3'(0'(1'(2'(3'(0'(1'(0'(3'(3'(0'(3'(2'(1'(2'(3'(3'(0'(1'(0'(3'(2'(3'(3'(1'(0'(0'(0'(1'(0'(0'(2'(3'(3'(x11722))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11722))))))))))))))))))))))))))))))))))))), x11722 >= 0
   2'(z) -{ 2 }-> 1'(0'(3'(3'(1'(3'(0'(1'(2'(3'(0'(1'(0'(3'(3'(0'(3'(2'(1'(2'(2'(1'(3'(3'(3'(3'(0'(3'(0'(3'(3'(3'(0'(0'(3'(3'(0'(0'(0'(x11723))))))))))))))))))))))))))))))))))))))) :|: x11723 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11723)))))))))))))))))))))))))))))))))))))
   2'(z) -{ 2 }-> 1'(0'(3'(3'(1'(3'(0'(1'(2'(3'(0'(1'(0'(3'(3'(0'(3'(2'(1'(2'(2'(0'(0'(3'(3'(1'(2'(1'(3'(3'(0'(2'(3'(2'(2'(1'(2'(3'(3'(x11716))))))))))))))))))))))))))))))))))))))) :|: x11716 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11716)))))))))))))))))))))))))))))))))))))
   2'(z) -{ 2 }-> 1'(0'(3'(3'(1'(3'(0'(1'(2'(3'(0'(1'(0'(3'(3'(0'(3'(2'(1'(1'(3'(3'(3'(2'(1'(3'(3'(0'(2'(0'(3'(1'(2'(0'(3'(0'(3'(2'(0'(x11713))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11713))))))))))))))))))))))))))))))))))))), x11713 >= 0
   2'(z) -{ 2 }-> 1'(0'(3'(3'(1'(3'(0'(1'(2'(3'(0'(1'(0'(3'(3'(0'(3'(2'(1'(1'(3'(0'(0'(0'(3'(1'(0'(1'(1'(3'(1'(0'(0'(3'(1'(2'(0'(3'(3'(x11715))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11715))))))))))))))))))))))))))))))))))))), x11715 >= 0
   2'(z) -{ 2 }-> 1'(0'(3'(3'(1'(3'(0'(1'(2'(3'(0'(1'(0'(3'(3'(0'(3'(2'(1'(1'(2'(3'(0'(3'(0'(2'(1'(0'(2'(0'(3'(1'(3'(0'(3'(3'(2'(2'(3'(x11714))))))))))))))))))))))))))))))))))))))) :|: x11714 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11714)))))))))))))))))))))))))))))))))))))
   2'(z) -{ 2 }-> 1'(0'(3'(3'(1'(3'(0'(1'(2'(3'(0'(1'(0'(3'(3'(0'(3'(2'(1'(1'(1'(1'(0'(2'(3'(3'(0'(3'(1'(3'(0'(2'(1'(1'(0'(3'(2'(3'(3'(x11719))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11719))))))))))))))))))))))))))))))))))))), x11719 >= 0
   2'(z) -{ 2 }-> 1'(0'(3'(3'(1'(3'(0'(1'(2'(3'(0'(1'(0'(3'(3'(0'(3'(2'(1'(1'(0'(2'(1'(2'(1'(2'(3'(2'(0'(3'(3'(3'(3'(3'(0'(0'(2'(0'(0'(x11710))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11710))))))))))))))))))))))))))))))))))))), x11710 >= 0
   2'(z) -{ 2 }-> 1'(0'(3'(3'(1'(3'(0'(1'(2'(3'(0'(1'(0'(3'(3'(0'(3'(2'(1'(0'(3'(2'(3'(3'(3'(0'(0'(0'(1'(0'(3'(1'(2'(3'(2'(3'(0'(0'(3'(x11711))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11711))))))))))))))))))))))))))))))))))))), x11711 >= 0
   2'(z) -{ 2 }-> 1'(0'(3'(3'(1'(3'(0'(1'(2'(3'(0'(1'(0'(3'(3'(0'(3'(2'(1'(0'(3'(1'(1'(3'(0'(1'(1'(2'(3'(0'(1'(0'(0'(1'(0'(3'(3'(0'(0'(x11721))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11721))))))))))))))))))))))))))))))))))))), x11721 >= 0
   2'(z) -{ 2 }-> 1'(0'(3'(3'(1'(3'(0'(1'(2'(3'(0'(1'(0'(3'(3'(0'(3'(2'(1'(0'(2'(2'(3'(3'(0'(2'(0'(0'(0'(1'(0'(2'(3'(3'(0'(3'(0'(1'(3'(x11709))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11709))))))))))))))))))))))))))))))))))))), x11709 >= 0
   2'(z) -{ 2 }-> 1'(0'(3'(3'(1'(3'(0'(1'(2'(3'(0'(1'(0'(3'(3'(0'(3'(2'(1'(0'(2'(2'(0'(1'(1'(3'(0'(1'(1'(3'(3'(0'(3'(3'(0'(3'(1'(3'(1'(x11718))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11718))))))))))))))))))))))))))))))))))))), x11718 >= 0
   2'(z) -{ 1 }-> 1'(0'(3'(3'(1'(3'(0'(1'(2'(3'(0'(1'(0'(3'(3'(0'(3'(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'(0'(3'(3'(1'(3'(0'(1'(2'(3'(0'(1'(0'(3'(3'(0'(3'(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'(0'(3'(1'(2'(3'(3'(2'(3'(3'(3'(3'(0'(1'(3'(1'(0'(3'(0'(3'(x1)))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   2'(z) -{ 1 }-> 0'(3'(3'(0'(3'(3'(2'(3'(0'(1'(0'(1'(3'(3'(3'(2'(3'(2'(1'(3'(x1)))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   2'(z) -{ 1 }-> 0'(3'(1'(3'(1'(3'(1'(3'(0'(1'(0'(0'(3'(3'(3'(2'(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))))))))))))))))))
   2'(z) -{ 1 }-> 0'(3'(1'(3'(0'(3'(3'(0'(1'(0'(0'(3'(2'(0'(0'(0'(3'(3'(2'(3'(x1)))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   2'(z) -{ 1 }-> 0'(3'(1'(3'(0'(1'(2'(0'(1'(2'(0'(3'(1'(3'(2'(1'(0'(3'(0'(0'(x1)))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   2'(z) -{ 1 }-> 0'(3'(0'(3'(2'(0'(1'(0'(1'(2'(0'(3'(3'(0'(2'(2'(3'(0'(3'(2'(x1)))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   2'(z) -{ 2 }-> 0'(3'(0'(3'(1'(3'(0'(3'(3'(1'(3'(3'(0'(3'(1'(3'(3'(0'(3'(3'(2'(3'(3'(3'(3'(3'(0'(1'(3'(0'(3'(1'(2'(0'(3'(3'(3'(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
   2'(z) -{ 2 }-> 0'(3'(0'(3'(1'(3'(0'(3'(3'(1'(3'(3'(0'(3'(1'(3'(3'(0'(3'(3'(1'(3'(1'(3'(3'(3'(2'(2'(0'(0'(3'(0'(1'(3'(0'(0'(2'(0'(0'(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)))))))))))))))))))))))))))))))))))))
   2'(z) -{ 2 }-> 0'(3'(0'(3'(1'(3'(0'(3'(3'(1'(3'(3'(0'(3'(1'(3'(3'(0'(3'(2'(3'(3'(3'(0'(1'(1'(3'(3'(3'(0'(1'(2'(3'(0'(0'(2'(2'(0'(0'(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)))))))))))))))))))))))))))))))))))))
   2'(z) -{ 2 }-> 0'(3'(0'(3'(1'(3'(0'(3'(3'(1'(3'(3'(0'(3'(1'(3'(3'(0'(3'(2'(3'(3'(0'(1'(0'(3'(2'(3'(3'(1'(0'(0'(0'(1'(0'(0'(2'(3'(3'(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)))))))))))))))))))))))))))))))))))))
   2'(z) -{ 2 }-> 0'(3'(0'(3'(1'(3'(0'(3'(3'(1'(3'(3'(0'(3'(1'(3'(3'(0'(3'(2'(2'(1'(3'(3'(3'(3'(0'(3'(0'(3'(3'(3'(0'(0'(3'(3'(0'(0'(0'(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
   2'(z) -{ 2 }-> 0'(3'(0'(3'(1'(3'(0'(3'(3'(1'(3'(3'(0'(3'(1'(3'(3'(0'(3'(2'(2'(0'(0'(3'(3'(1'(2'(1'(3'(3'(0'(2'(3'(2'(2'(1'(2'(3'(3'(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
   2'(z) -{ 2 }-> 0'(3'(0'(3'(1'(3'(0'(3'(3'(1'(3'(3'(0'(3'(1'(3'(3'(0'(3'(1'(3'(3'(3'(2'(1'(3'(3'(0'(2'(0'(3'(1'(2'(0'(3'(0'(3'(2'(0'(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)))))))))))))))))))))))))))))))))))))
   2'(z) -{ 2 }-> 0'(3'(0'(3'(1'(3'(0'(3'(3'(1'(3'(3'(0'(3'(1'(3'(3'(0'(3'(1'(3'(0'(0'(0'(3'(1'(0'(1'(1'(3'(1'(0'(0'(3'(1'(2'(0'(3'(3'(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)))))))))))))))))))))))))))))))))))))
   2'(z) -{ 2 }-> 0'(3'(0'(3'(1'(3'(0'(3'(3'(1'(3'(3'(0'(3'(1'(3'(3'(0'(3'(1'(2'(3'(0'(3'(0'(2'(1'(0'(2'(0'(3'(1'(3'(0'(3'(3'(2'(2'(3'(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
   2'(z) -{ 2 }-> 0'(3'(0'(3'(1'(3'(0'(3'(3'(1'(3'(3'(0'(3'(1'(3'(3'(0'(3'(1'(1'(1'(0'(2'(3'(3'(0'(3'(1'(3'(0'(2'(1'(1'(0'(3'(2'(3'(3'(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
   2'(z) -{ 2 }-> 0'(3'(0'(3'(1'(3'(0'(3'(3'(1'(3'(3'(0'(3'(1'(3'(3'(0'(3'(1'(0'(2'(1'(2'(1'(2'(3'(2'(0'(3'(3'(3'(3'(3'(0'(0'(2'(0'(0'(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)))))))))))))))))))))))))))))))))))))
   2'(z) -{ 2 }-> 0'(3'(0'(3'(1'(3'(0'(3'(3'(1'(3'(3'(0'(3'(1'(3'(3'(0'(3'(0'(3'(2'(3'(3'(3'(0'(0'(0'(1'(0'(3'(1'(2'(3'(2'(3'(0'(0'(3'(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
   2'(z) -{ 2 }-> 0'(3'(0'(3'(1'(3'(0'(3'(3'(1'(3'(3'(0'(3'(1'(3'(3'(0'(3'(0'(3'(1'(1'(3'(0'(1'(1'(2'(3'(0'(1'(0'(0'(1'(0'(3'(3'(0'(0'(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
   2'(z) -{ 2 }-> 0'(3'(0'(3'(1'(3'(0'(3'(3'(1'(3'(3'(0'(3'(1'(3'(3'(0'(3'(0'(2'(2'(3'(3'(0'(2'(0'(0'(0'(1'(0'(2'(3'(3'(0'(3'(0'(1'(3'(x11406))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11406))))))))))))))))))))))))))))))))))))), x11406 >= 0
   2'(z) -{ 2 }-> 0'(3'(0'(3'(1'(3'(0'(3'(3'(1'(3'(3'(0'(3'(1'(3'(3'(0'(3'(0'(2'(2'(0'(1'(1'(3'(0'(1'(1'(3'(3'(0'(3'(3'(0'(3'(1'(3'(1'(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
   2'(z) -{ 1 }-> 0'(3'(0'(3'(1'(3'(0'(3'(3'(1'(3'(3'(0'(3'(1'(3'(3'(0'(3'(0))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   2'(z) -{ 1 }-> 0'(3'(0'(3'(1'(3'(0'(3'(3'(1'(3'(3'(0'(3'(1'(3'(3'(0'(3'(1 + x1))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   2'(z) -{ 1 }-> 0'(2'(0'(2'(1'(3'(3'(0'(2'(1'(0'(3'(2'(3'(0'(2'(2'(1'(3'(3'(x1)))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   2'(z) -{ 1 }-> 0'(1'(0'(0'(3'(0'(1'(0'(3'(0'(1'(1'(1'(3'(3'(3'(0'(0'(3'(3'(x1)))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   2'(z) -{ 1 }-> 0'(0'(1'(2'(1'(3'(3'(3'(0'(2'(0'(2'(1'(3'(3'(0'(3'(2'(1'(3'(x1)))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   2'(z) -{ 0 }-> 0 :|: v0 >= 0, z = v0
   2'(z) -{ 0 }-> 1 + x0 :|: z = x0, x0 >= 0
   3'(z) -{ 1 }-> 3'(3'(3'(3'(2'(3'(0'(1'(0'(0'(0'(3'(3'(1'(3'(3'(3'(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) -{ 2 }-> 3'(3'(3'(3'(1'(3'(3'(1'(1'(3'(1'(2'(3'(3'(3'(2'(2'(0'(2'(3'(2'(3'(3'(3'(3'(3'(0'(1'(3'(0'(3'(1'(2'(0'(3'(3'(3'(1'(2'(x1575))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1575))))))))))))))))))))))))))))))))))))), x1575 >= 0
   3'(z) -{ 2 }-> 3'(3'(3'(3'(1'(3'(3'(1'(1'(3'(1'(2'(3'(3'(3'(2'(2'(0'(2'(3'(1'(3'(1'(3'(3'(3'(2'(2'(0'(0'(3'(0'(1'(3'(0'(0'(2'(0'(0'(x1580))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1580))))))))))))))))))))))))))))))))))))), x1580 >= 0
   3'(z) -{ 2 }-> 3'(3'(3'(3'(1'(3'(3'(1'(1'(3'(1'(2'(3'(3'(3'(2'(2'(0'(2'(2'(3'(3'(3'(0'(1'(1'(3'(3'(3'(0'(1'(2'(3'(0'(0'(2'(2'(0'(0'(x1583))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1583))))))))))))))))))))))))))))))))))))), x1583 >= 0
   3'(z) -{ 2 }-> 3'(3'(3'(3'(1'(3'(3'(1'(1'(3'(1'(2'(3'(3'(3'(2'(2'(0'(2'(2'(3'(3'(0'(1'(0'(3'(2'(3'(3'(1'(0'(0'(0'(1'(0'(0'(2'(3'(3'(x1585))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1585))))))))))))))))))))))))))))))))))))), x1585 >= 0
   3'(z) -{ 2 }-> 3'(3'(3'(3'(1'(3'(3'(1'(1'(3'(1'(2'(3'(3'(3'(2'(2'(0'(2'(2'(2'(1'(3'(3'(3'(3'(0'(3'(0'(3'(3'(3'(0'(0'(3'(3'(0'(0'(0'(x1586))))))))))))))))))))))))))))))))))))))) :|: x1586 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1586)))))))))))))))))))))))))))))))))))))
   3'(z) -{ 2 }-> 3'(3'(3'(3'(1'(3'(3'(1'(1'(3'(1'(2'(3'(3'(3'(2'(2'(0'(2'(2'(2'(0'(0'(3'(3'(1'(2'(1'(3'(3'(0'(2'(3'(2'(2'(1'(2'(3'(3'(x1579))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1579))))))))))))))))))))))))))))))))))))), x1579 >= 0
   3'(z) -{ 2 }-> 3'(3'(3'(3'(1'(3'(3'(1'(1'(3'(1'(2'(3'(3'(3'(2'(2'(0'(2'(1'(3'(3'(3'(2'(1'(3'(3'(0'(2'(0'(3'(1'(2'(0'(3'(0'(3'(2'(0'(x1576))))))))))))))))))))))))))))))))))))))) :|: x1576 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1576)))))))))))))))))))))))))))))))))))))
   3'(z) -{ 2 }-> 3'(3'(3'(3'(1'(3'(3'(1'(1'(3'(1'(2'(3'(3'(3'(2'(2'(0'(2'(1'(3'(0'(0'(0'(3'(1'(0'(1'(1'(3'(1'(0'(0'(3'(1'(2'(0'(3'(3'(x1578))))))))))))))))))))))))))))))))))))))) :|: x1578 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1578)))))))))))))))))))))))))))))))))))))
   3'(z) -{ 2 }-> 3'(3'(3'(3'(1'(3'(3'(1'(1'(3'(1'(2'(3'(3'(3'(2'(2'(0'(2'(1'(2'(3'(0'(3'(0'(2'(1'(0'(2'(0'(3'(1'(3'(0'(3'(3'(2'(2'(3'(x1577))))))))))))))))))))))))))))))))))))))) :|: x1577 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1577)))))))))))))))))))))))))))))))))))))
   3'(z) -{ 2 }-> 3'(3'(3'(3'(1'(3'(3'(1'(1'(3'(1'(2'(3'(3'(3'(2'(2'(0'(2'(1'(1'(1'(0'(2'(3'(3'(0'(3'(1'(3'(0'(2'(1'(1'(0'(3'(2'(3'(3'(x1582))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1582))))))))))))))))))))))))))))))))))))), x1582 >= 0
   3'(z) -{ 2 }-> 3'(3'(3'(3'(1'(3'(3'(1'(1'(3'(1'(2'(3'(3'(3'(2'(2'(0'(2'(1'(0'(2'(1'(2'(1'(2'(3'(2'(0'(3'(3'(3'(3'(3'(0'(0'(2'(0'(0'(x1573))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1573))))))))))))))))))))))))))))))))))))), x1573 >= 0
   3'(z) -{ 2 }-> 3'(3'(3'(3'(1'(3'(3'(1'(1'(3'(1'(2'(3'(3'(3'(2'(2'(0'(2'(0'(3'(2'(3'(3'(3'(0'(0'(0'(1'(0'(3'(1'(2'(3'(2'(3'(0'(0'(3'(x1574))))))))))))))))))))))))))))))))))))))) :|: x1574 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1574)))))))))))))))))))))))))))))))))))))
   3'(z) -{ 2 }-> 3'(3'(3'(3'(1'(3'(3'(1'(1'(3'(1'(2'(3'(3'(3'(2'(2'(0'(2'(0'(3'(1'(1'(3'(0'(1'(1'(2'(3'(0'(1'(0'(0'(1'(0'(3'(3'(0'(0'(x1584))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1584))))))))))))))))))))))))))))))))))))), x1584 >= 0
   3'(z) -{ 2 }-> 3'(3'(3'(3'(1'(3'(3'(1'(1'(3'(1'(2'(3'(3'(3'(2'(2'(0'(2'(0'(2'(2'(3'(3'(0'(2'(0'(0'(0'(1'(0'(2'(3'(3'(0'(3'(0'(1'(3'(x1572))))))))))))))))))))))))))))))))))))))) :|: x1572 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1572)))))))))))))))))))))))))))))))))))))
   3'(z) -{ 2 }-> 3'(3'(3'(3'(1'(3'(3'(1'(1'(3'(1'(2'(3'(3'(3'(2'(2'(0'(2'(0'(2'(2'(0'(1'(1'(3'(0'(1'(1'(3'(3'(0'(3'(3'(0'(3'(1'(3'(1'(x1581))))))))))))))))))))))))))))))))))))))) :|: x1581 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1581)))))))))))))))))))))))))))))))))))))
   3'(z) -{ 1 }-> 3'(3'(3'(3'(1'(3'(3'(1'(1'(3'(1'(2'(3'(3'(3'(2'(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))))))))))))))))))
   3'(z) -{ 1 }-> 3'(3'(3'(3'(1'(3'(3'(1'(1'(3'(1'(2'(3'(3'(3'(2'(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))))))))))))))))))
   3'(z) -{ 1 }-> 3'(3'(3'(0'(3'(3'(1'(0'(2'(3'(0'(0'(2'(2'(3'(3'(0'(3'(2'(0'(x1)))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   3'(z) -{ 1 }-> 3'(3'(3'(0'(2'(3'(3'(0'(2'(0'(3'(3'(3'(3'(1'(0'(0'(1'(3'(0'(x1)))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   3'(z) -{ 1 }-> 3'(3'(2'(3'(3'(3'(2'(3'(3'(0'(1'(1'(0'(3'(3'(3'(0'(3'(3'(0'(x1)))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   3'(z) -{ 1 }-> 3'(3'(0'(3'(0'(0'(3'(3'(3'(1'(3'(1'(1'(0'(3'(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))))))))))))))))))
   3'(z) -{ 1 }-> 3'(1'(3'(3'(1'(0'(3'(0'(3'(0'(2'(3'(3'(1'(0'(1'(0'(3'(1'(0'(x1)))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   3'(z) -{ 1 }-> 2'(3'(3'(2'(2'(2'(0'(3'(1'(2'(3'(3'(3'(3'(0'(1'(3'(2'(0'(3'(x1)))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   3'(z) -{ 1 }-> 2'(3'(0'(0'(3'(1'(2'(0'(3'(3'(0'(0'(0'(3'(3'(3'(1'(0'(2'(2'(x1)))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   3'(z) -{ 1 }-> 2'(2'(3'(1'(3'(1'(3'(3'(1'(3'(3'(0'(0'(2'(1'(2'(3'(3'(3'(2'(x1)))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   3'(z) -{ 2 }-> 1'(3'(3'(3'(3'(2'(3'(2'(2'(0'(3'(1'(0'(0'(1'(3'(0'(3'(3'(3'(2'(3'(3'(3'(3'(3'(0'(1'(3'(0'(3'(1'(2'(0'(3'(3'(3'(1'(2'(x12048))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x12048))))))))))))))))))))))))))))))))))))), x12048 >= 0
   3'(z) -{ 2 }-> 1'(3'(3'(3'(3'(2'(3'(2'(2'(0'(3'(1'(0'(0'(1'(3'(0'(3'(3'(3'(1'(3'(1'(3'(3'(3'(2'(2'(0'(0'(3'(0'(1'(3'(0'(0'(2'(0'(0'(x12053))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x12053))))))))))))))))))))))))))))))))))))), x12053 >= 0
   3'(z) -{ 2 }-> 1'(3'(3'(3'(3'(2'(3'(2'(2'(0'(3'(1'(0'(0'(1'(3'(0'(3'(3'(2'(3'(3'(3'(0'(1'(1'(3'(3'(3'(0'(1'(2'(3'(0'(0'(2'(2'(0'(0'(x12056))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x12056))))))))))))))))))))))))))))))))))))), x12056 >= 0
   3'(z) -{ 2 }-> 1'(3'(3'(3'(3'(2'(3'(2'(2'(0'(3'(1'(0'(0'(1'(3'(0'(3'(3'(2'(3'(3'(0'(1'(0'(3'(2'(3'(3'(1'(0'(0'(0'(1'(0'(0'(2'(3'(3'(x12058))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x12058))))))))))))))))))))))))))))))))))))), x12058 >= 0
   3'(z) -{ 2 }-> 1'(3'(3'(3'(3'(2'(3'(2'(2'(0'(3'(1'(0'(0'(1'(3'(0'(3'(3'(2'(2'(1'(3'(3'(3'(3'(0'(3'(0'(3'(3'(3'(0'(0'(3'(3'(0'(0'(0'(x12059))))))))))))))))))))))))))))))))))))))) :|: x12059 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x12059)))))))))))))))))))))))))))))))))))))
   3'(z) -{ 2 }-> 1'(3'(3'(3'(3'(2'(3'(2'(2'(0'(3'(1'(0'(0'(1'(3'(0'(3'(3'(2'(2'(0'(0'(3'(3'(1'(2'(1'(3'(3'(0'(2'(3'(2'(2'(1'(2'(3'(3'(x12052))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x12052))))))))))))))))))))))))))))))))))))), x12052 >= 0
   3'(z) -{ 2 }-> 1'(3'(3'(3'(3'(2'(3'(2'(2'(0'(3'(1'(0'(0'(1'(3'(0'(3'(3'(1'(3'(3'(3'(2'(1'(3'(3'(0'(2'(0'(3'(1'(2'(0'(3'(0'(3'(2'(0'(x12049))))))))))))))))))))))))))))))))))))))) :|: x12049 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x12049)))))))))))))))))))))))))))))))))))))
   3'(z) -{ 2 }-> 1'(3'(3'(3'(3'(2'(3'(2'(2'(0'(3'(1'(0'(0'(1'(3'(0'(3'(3'(1'(3'(0'(0'(0'(3'(1'(0'(1'(1'(3'(1'(0'(0'(3'(1'(2'(0'(3'(3'(x12051))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x12051))))))))))))))))))))))))))))))))))))), x12051 >= 0
   3'(z) -{ 2 }-> 1'(3'(3'(3'(3'(2'(3'(2'(2'(0'(3'(1'(0'(0'(1'(3'(0'(3'(3'(1'(2'(3'(0'(3'(0'(2'(1'(0'(2'(0'(3'(1'(3'(0'(3'(3'(2'(2'(3'(x12050))))))))))))))))))))))))))))))))))))))) :|: x12050 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x12050)))))))))))))))))))))))))))))))))))))
   3'(z) -{ 2 }-> 1'(3'(3'(3'(3'(2'(3'(2'(2'(0'(3'(1'(0'(0'(1'(3'(0'(3'(3'(1'(1'(1'(0'(2'(3'(3'(0'(3'(1'(3'(0'(2'(1'(1'(0'(3'(2'(3'(3'(x12055))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x12055))))))))))))))))))))))))))))))))))))), x12055 >= 0
   3'(z) -{ 2 }-> 1'(3'(3'(3'(3'(2'(3'(2'(2'(0'(3'(1'(0'(0'(1'(3'(0'(3'(3'(1'(0'(2'(1'(2'(1'(2'(3'(2'(0'(3'(3'(3'(3'(3'(0'(0'(2'(0'(0'(x12046))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x12046))))))))))))))))))))))))))))))))))))), x12046 >= 0
   3'(z) -{ 2 }-> 1'(3'(3'(3'(3'(2'(3'(2'(2'(0'(3'(1'(0'(0'(1'(3'(0'(3'(3'(0'(3'(2'(3'(3'(3'(0'(0'(0'(1'(0'(3'(1'(2'(3'(2'(3'(0'(0'(3'(x12047))))))))))))))))))))))))))))))))))))))) :|: x12047 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x12047)))))))))))))))))))))))))))))))))))))
   3'(z) -{ 2 }-> 1'(3'(3'(3'(3'(2'(3'(2'(2'(0'(3'(1'(0'(0'(1'(3'(0'(3'(3'(0'(3'(1'(1'(3'(0'(1'(1'(2'(3'(0'(1'(0'(0'(1'(0'(3'(3'(0'(0'(x12057))))))))))))))))))))))))))))))))))))))) :|: x12057 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x12057)))))))))))))))))))))))))))))))))))))
   3'(z) -{ 2 }-> 1'(3'(3'(3'(3'(2'(3'(2'(2'(0'(3'(1'(0'(0'(1'(3'(0'(3'(3'(0'(2'(2'(3'(3'(0'(2'(0'(0'(0'(1'(0'(2'(3'(3'(0'(3'(0'(1'(3'(x12045))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x12045))))))))))))))))))))))))))))))))))))), x12045 >= 0
   3'(z) -{ 2 }-> 1'(3'(3'(3'(3'(2'(3'(2'(2'(0'(3'(1'(0'(0'(1'(3'(0'(3'(3'(0'(2'(2'(0'(1'(1'(3'(0'(1'(1'(3'(3'(0'(3'(3'(0'(3'(1'(3'(1'(x12054))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x12054))))))))))))))))))))))))))))))))))))), x12054 >= 0
   3'(z) -{ 1 }-> 1'(3'(3'(3'(3'(2'(3'(2'(2'(0'(3'(1'(0'(0'(1'(3'(0'(3'(3'(0))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   3'(z) -{ 1 }-> 1'(3'(3'(3'(3'(2'(3'(2'(2'(0'(3'(1'(0'(0'(1'(3'(0'(3'(3'(1 + x1))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   3'(z) -{ 1 }-> 1'(3'(0'(2'(1'(3'(3'(2'(0'(2'(3'(1'(3'(0'(3'(0'(0'(2'(1'(0'(x1)))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   3'(z) -{ 1 }-> 1'(2'(1'(3'(1'(3'(3'(3'(3'(2'(1'(1'(2'(3'(0'(0'(3'(3'(0'(0'(x1)))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   3'(z) -{ 1 }-> 1'(0'(2'(1'(1'(3'(2'(1'(1'(3'(0'(3'(3'(1'(1'(3'(1'(3'(3'(3'(x1)))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   3'(z) -{ 1 }-> 1'(0'(0'(1'(3'(0'(1'(1'(2'(0'(3'(3'(3'(3'(0'(0'(3'(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'(3'(2'(2'(0'(3'(3'(3'(1'(1'(0'(0'(3'(0'(2'(2'(1'(1'(3'(3'(x1)))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   3'(z) -{ 1 }-> 0'(3'(0'(2'(2'(0'(1'(0'(1'(0'(0'(2'(2'(3'(2'(3'(0'(1'(0'(3'(x1)))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   3'(z) -{ 1 }-> 0'(3'(0'(0'(2'(3'(0'(2'(2'(1'(0'(1'(2'(0'(1'(3'(1'(3'(1'(3'(x1)))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   3'(z) -{ 1 }-> 0'(0'(3'(0'(2'(1'(3'(3'(0'(0'(3'(2'(0'(0'(3'(0'(2'(2'(0'(0'(x1)))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   3'(z) -{ 2 }-> 0'(0'(0'(0'(3'(2'(3'(1'(1'(1'(0'(1'(0'(0'(3'(3'(0'(2'(3'(3'(2'(3'(3'(3'(3'(3'(0'(1'(3'(0'(3'(1'(2'(0'(3'(3'(3'(1'(2'(x12114))))))))))))))))))))))))))))))))))))))) :|: x12114 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x12114)))))))))))))))))))))))))))))))))))))
   3'(z) -{ 2 }-> 0'(0'(0'(0'(3'(2'(3'(1'(1'(1'(0'(1'(0'(0'(3'(3'(0'(2'(3'(3'(1'(3'(1'(3'(3'(3'(2'(2'(0'(0'(3'(0'(1'(3'(0'(0'(2'(0'(0'(x12119))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x12119))))))))))))))))))))))))))))))))))))), x12119 >= 0
   3'(z) -{ 2 }-> 0'(0'(0'(0'(3'(2'(3'(1'(1'(1'(0'(1'(0'(0'(3'(3'(0'(2'(3'(2'(3'(3'(3'(0'(1'(1'(3'(3'(3'(0'(1'(2'(3'(0'(0'(2'(2'(0'(0'(x12122))))))))))))))))))))))))))))))))))))))) :|: x12122 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x12122)))))))))))))))))))))))))))))))))))))
   3'(z) -{ 2 }-> 0'(0'(0'(0'(3'(2'(3'(1'(1'(1'(0'(1'(0'(0'(3'(3'(0'(2'(3'(2'(3'(3'(0'(1'(0'(3'(2'(3'(3'(1'(0'(0'(0'(1'(0'(0'(2'(3'(3'(x12124))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x12124))))))))))))))))))))))))))))))))))))), x12124 >= 0
   3'(z) -{ 2 }-> 0'(0'(0'(0'(3'(2'(3'(1'(1'(1'(0'(1'(0'(0'(3'(3'(0'(2'(3'(2'(2'(1'(3'(3'(3'(3'(0'(3'(0'(3'(3'(3'(0'(0'(3'(3'(0'(0'(0'(x12125))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x12125))))))))))))))))))))))))))))))))))))), x12125 >= 0
   3'(z) -{ 2 }-> 0'(0'(0'(0'(3'(2'(3'(1'(1'(1'(0'(1'(0'(0'(3'(3'(0'(2'(3'(2'(2'(0'(0'(3'(3'(1'(2'(1'(3'(3'(0'(2'(3'(2'(2'(1'(2'(3'(3'(x12118))))))))))))))))))))))))))))))))))))))) :|: x12118 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x12118)))))))))))))))))))))))))))))))))))))
   3'(z) -{ 2 }-> 0'(0'(0'(0'(3'(2'(3'(1'(1'(1'(0'(1'(0'(0'(3'(3'(0'(2'(3'(1'(3'(3'(3'(2'(1'(3'(3'(0'(2'(0'(3'(1'(2'(0'(3'(0'(3'(2'(0'(x12115))))))))))))))))))))))))))))))))))))))) :|: x12115 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x12115)))))))))))))))))))))))))))))))))))))
   3'(z) -{ 2 }-> 0'(0'(0'(0'(3'(2'(3'(1'(1'(1'(0'(1'(0'(0'(3'(3'(0'(2'(3'(1'(3'(0'(0'(0'(3'(1'(0'(1'(1'(3'(1'(0'(0'(3'(1'(2'(0'(3'(3'(x12117))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x12117))))))))))))))))))))))))))))))))))))), x12117 >= 0
   3'(z) -{ 2 }-> 0'(0'(0'(0'(3'(2'(3'(1'(1'(1'(0'(1'(0'(0'(3'(3'(0'(2'(3'(1'(2'(3'(0'(3'(0'(2'(1'(0'(2'(0'(3'(1'(3'(0'(3'(3'(2'(2'(3'(x12116))))))))))))))))))))))))))))))))))))))) :|: x12116 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x12116)))))))))))))))))))))))))))))))))))))
   3'(z) -{ 2 }-> 0'(0'(0'(0'(3'(2'(3'(1'(1'(1'(0'(1'(0'(0'(3'(3'(0'(2'(3'(1'(1'(1'(0'(2'(3'(3'(0'(3'(1'(3'(0'(2'(1'(1'(0'(3'(2'(3'(3'(x12121))))))))))))))))))))))))))))))))))))))) :|: x12121 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x12121)))))))))))))))))))))))))))))))))))))
   3'(z) -{ 2 }-> 0'(0'(0'(0'(3'(2'(3'(1'(1'(1'(0'(1'(0'(0'(3'(3'(0'(2'(3'(1'(0'(2'(1'(2'(1'(2'(3'(2'(0'(3'(3'(3'(3'(3'(0'(0'(2'(0'(0'(x12112))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x12112))))))))))))))))))))))))))))))))))))), x12112 >= 0
   3'(z) -{ 2 }-> 0'(0'(0'(0'(3'(2'(3'(1'(1'(1'(0'(1'(0'(0'(3'(3'(0'(2'(3'(0'(3'(2'(3'(3'(3'(0'(0'(0'(1'(0'(3'(1'(2'(3'(2'(3'(0'(0'(3'(x12113))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x12113))))))))))))))))))))))))))))))))))))), x12113 >= 0
   3'(z) -{ 2 }-> 0'(0'(0'(0'(3'(2'(3'(1'(1'(1'(0'(1'(0'(0'(3'(3'(0'(2'(3'(0'(3'(1'(1'(3'(0'(1'(1'(2'(3'(0'(1'(0'(0'(1'(0'(3'(3'(0'(0'(x12123))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x12123))))))))))))))))))))))))))))))))))))), x12123 >= 0
   3'(z) -{ 2 }-> 0'(0'(0'(0'(3'(2'(3'(1'(1'(1'(0'(1'(0'(0'(3'(3'(0'(2'(3'(0'(2'(2'(3'(3'(0'(2'(0'(0'(0'(1'(0'(2'(3'(3'(0'(3'(0'(1'(3'(x12111))))))))))))))))))))))))))))))))))))))) :|: x12111 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x12111)))))))))))))))))))))))))))))))))))))
   3'(z) -{ 2 }-> 0'(0'(0'(0'(3'(2'(3'(1'(1'(1'(0'(1'(0'(0'(3'(3'(0'(2'(3'(0'(2'(2'(0'(1'(1'(3'(0'(1'(1'(3'(3'(0'(3'(3'(0'(3'(1'(3'(1'(x12120))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x12120))))))))))))))))))))))))))))))))))))), x12120 >= 0
   3'(z) -{ 1 }-> 0'(0'(0'(0'(3'(2'(3'(1'(1'(1'(0'(1'(0'(0'(3'(3'(0'(2'(3'(0))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   3'(z) -{ 1 }-> 0'(0'(0'(0'(3'(2'(3'(1'(1'(1'(0'(1'(0'(0'(3'(3'(0'(2'(3'(1 + x1))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   3'(z) -{ 1 }-> 0'(0'(0'(0'(1'(3'(3'(1'(1'(3'(1'(3'(0'(1'(0'(3'(3'(1'(1'(3'(x1)))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   3'(z) -{ 0 }-> 0 :|: v0 >= 0, z = v0
   3'(z) -{ 0 }-> 1 + x0 :|: z = x0, x0 >= 0
   encArg(z) -{ 0 }-> 3'(3'(encArg(x_114))) :|: z = 1 + (1 + x_114), x_114 >= 0
   encArg(z) -{ 0 }-> 3'(2'(encArg(x_113))) :|: x_113 >= 0, z = 1 + (1 + x_113)
   encArg(z) -{ 0 }-> 3'(1'(encArg(x_112))) :|: x_112 >= 0, z = 1 + (1 + x_112)
   encArg(z) -{ 0 }-> 3'(0'(encArg(x_111))) :|: z = 1 + (1 + x_111), x_111 >= 0
   encArg(z) -{ 0 }-> 3'(0) :|: z = 1 + x_1, x_1 >= 0
   encArg(z) -{ 0 }-> 2'(3'(encArg(x_110))) :|: z = 1 + (1 + x_110), x_110 >= 0
   encArg(z) -{ 0 }-> 2'(2'(encArg(x_19))) :|: z = 1 + (1 + x_19), x_19 >= 0
   encArg(z) -{ 0 }-> 2'(1'(encArg(x_18))) :|: z = 1 + (1 + x_18), x_18 >= 0
   encArg(z) -{ 0 }-> 2'(0'(encArg(x_17))) :|: x_17 >= 0, z = 1 + (1 + x_17)
   encArg(z) -{ 0 }-> 2'(0) :|: z = 1 + x_1, x_1 >= 0
   encArg(z) -{ 0 }-> 1'(3'(encArg(x_16))) :|: x_16 >= 0, z = 1 + (1 + x_16)
   encArg(z) -{ 0 }-> 1'(2'(encArg(x_15))) :|: x_15 >= 0, z = 1 + (1 + x_15)
   encArg(z) -{ 0 }-> 1'(1'(encArg(x_14))) :|: x_14 >= 0, z = 1 + (1 + x_14)
   encArg(z) -{ 0 }-> 1'(0'(encArg(x_13))) :|: z = 1 + (1 + x_13), x_13 >= 0
   encArg(z) -{ 0 }-> 1'(0) :|: z = 1 + x_1, x_1 >= 0
   encArg(z) -{ 0 }-> 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'(3'(encArg(x_118))) :|: z = 1 + x_118, x_118 >= 0
   encode_0(z) -{ 0 }-> 0'(2'(encArg(x_117))) :|: x_117 >= 0, z = 1 + x_117
   encode_0(z) -{ 0 }-> 0'(1'(encArg(x_116))) :|: x_116 >= 0, z = 1 + x_116
   encode_0(z) -{ 0 }-> 0'(0'(encArg(x_115))) :|: x_115 >= 0, z = 1 + x_115
   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'(3'(encArg(x_122))) :|: x_122 >= 0, z = 1 + x_122
   encode_1(z) -{ 0 }-> 1'(2'(encArg(x_121))) :|: z = 1 + x_121, x_121 >= 0
   encode_1(z) -{ 0 }-> 1'(1'(encArg(x_120))) :|: x_120 >= 0, z = 1 + x_120
   encode_1(z) -{ 0 }-> 1'(0'(encArg(x_119))) :|: z = 1 + x_119, x_119 >= 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'(3'(encArg(x_126))) :|: z = 1 + x_126, x_126 >= 0
   encode_2(z) -{ 0 }-> 2'(2'(encArg(x_125))) :|: z = 1 + x_125, x_125 >= 0
   encode_2(z) -{ 0 }-> 2'(1'(encArg(x_124))) :|: x_124 >= 0, z = 1 + x_124
   encode_2(z) -{ 0 }-> 2'(0'(encArg(x_123))) :|: x_123 >= 0, z = 1 + x_123
   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'(3'(encArg(x_130))) :|: x_130 >= 0, z = 1 + x_130
   encode_3(z) -{ 0 }-> 3'(2'(encArg(x_129))) :|: z = 1 + x_129, x_129 >= 0
   encode_3(z) -{ 0 }-> 3'(1'(encArg(x_128))) :|: x_128 >= 0, z = 1 + x_128
   encode_3(z) -{ 0 }-> 3'(0'(encArg(x_127))) :|: x_127 >= 0, z = 1 + x_127
   encode_3(z) -{ 0 }-> 3'(0) :|: x_1 >= 0, z = x_1
   encode_3(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 }-> 3'(3'(0'(3'(0'(3'(3'(0'(1'(1'(0'(1'(0'(2'(0'(2'(3'(1'(2'(3'(z - 19)))))))))))))))))))) :|: z - 19 >= 0
   0'(z) -{ 2 }-> 3'(2'(3'(3'(0'(3'(1'(1'(0'(1'(1'(1'(1'(1'(3'(0'(3'(3'(0'(3'(2'(3'(3'(3'(3'(3'(0'(1'(3'(0'(3'(1'(2'(0'(3'(3'(3'(1'(2'(z - 38))))))))))))))))))))))))))))))))))))))) :|: z - 38 >= 0
   0'(z) -{ 2 }-> 3'(2'(3'(3'(0'(3'(1'(1'(0'(1'(1'(1'(1'(1'(3'(0'(3'(3'(0'(3'(1'(3'(1'(3'(3'(3'(2'(2'(0'(0'(3'(0'(1'(3'(0'(0'(2'(0'(0'(z - 38))))))))))))))))))))))))))))))))))))))) :|: z - 38 >= 0
   0'(z) -{ 2 }-> 3'(2'(3'(3'(0'(3'(1'(1'(0'(1'(1'(1'(1'(1'(3'(0'(3'(3'(0'(2'(3'(3'(3'(0'(1'(1'(3'(3'(3'(0'(1'(2'(3'(0'(0'(2'(2'(0'(0'(z - 38))))))))))))))))))))))))))))))))))))))) :|: z - 38 >= 0
   0'(z) -{ 2 }-> 3'(2'(3'(3'(0'(3'(1'(1'(0'(1'(1'(1'(1'(1'(3'(0'(3'(3'(0'(2'(3'(3'(0'(1'(0'(3'(2'(3'(3'(1'(0'(0'(0'(1'(0'(0'(2'(3'(3'(z - 38))))))))))))))))))))))))))))))))))))))) :|: z - 38 >= 0
   0'(z) -{ 2 }-> 3'(2'(3'(3'(0'(3'(1'(1'(0'(1'(1'(1'(1'(1'(3'(0'(3'(3'(0'(2'(2'(1'(3'(3'(3'(3'(0'(3'(0'(3'(3'(3'(0'(0'(3'(3'(0'(0'(0'(z - 38))))))))))))))))))))))))))))))))))))))) :|: z - 38 >= 0
   0'(z) -{ 2 }-> 3'(2'(3'(3'(0'(3'(1'(1'(0'(1'(1'(1'(1'(1'(3'(0'(3'(3'(0'(2'(2'(0'(0'(3'(3'(1'(2'(1'(3'(3'(0'(2'(3'(2'(2'(1'(2'(3'(3'(z - 38))))))))))))))))))))))))))))))))))))))) :|: z - 38 >= 0
   0'(z) -{ 2 }-> 3'(2'(3'(3'(0'(3'(1'(1'(0'(1'(1'(1'(1'(1'(3'(0'(3'(3'(0'(1'(3'(3'(3'(2'(1'(3'(3'(0'(2'(0'(3'(1'(2'(0'(3'(0'(3'(2'(0'(z - 38))))))))))))))))))))))))))))))))))))))) :|: z - 38 >= 0
   0'(z) -{ 2 }-> 3'(2'(3'(3'(0'(3'(1'(1'(0'(1'(1'(1'(1'(1'(3'(0'(3'(3'(0'(1'(3'(0'(0'(0'(3'(1'(0'(1'(1'(3'(1'(0'(0'(3'(1'(2'(0'(3'(3'(z - 38))))))))))))))))))))))))))))))))))))))) :|: z - 38 >= 0
   0'(z) -{ 2 }-> 3'(2'(3'(3'(0'(3'(1'(1'(0'(1'(1'(1'(1'(1'(3'(0'(3'(3'(0'(1'(2'(3'(0'(3'(0'(2'(1'(0'(2'(0'(3'(1'(3'(0'(3'(3'(2'(2'(3'(z - 38))))))))))))))))))))))))))))))))))))))) :|: z - 38 >= 0
   0'(z) -{ 2 }-> 3'(2'(3'(3'(0'(3'(1'(1'(0'(1'(1'(1'(1'(1'(3'(0'(3'(3'(0'(1'(1'(1'(0'(2'(3'(3'(0'(3'(1'(3'(0'(2'(1'(1'(0'(3'(2'(3'(3'(z - 38))))))))))))))))))))))))))))))))))))))) :|: z - 38 >= 0
   0'(z) -{ 2 }-> 3'(2'(3'(3'(0'(3'(1'(1'(0'(1'(1'(1'(1'(1'(3'(0'(3'(3'(0'(1'(0'(2'(1'(2'(1'(2'(3'(2'(0'(3'(3'(3'(3'(3'(0'(0'(2'(0'(0'(z - 38))))))))))))))))))))))))))))))))))))))) :|: z - 38 >= 0
   0'(z) -{ 2 }-> 3'(2'(3'(3'(0'(3'(1'(1'(0'(1'(1'(1'(1'(1'(3'(0'(3'(3'(0'(0'(3'(2'(3'(3'(3'(0'(0'(0'(1'(0'(3'(1'(2'(3'(2'(3'(0'(0'(3'(z - 38))))))))))))))))))))))))))))))))))))))) :|: z - 38 >= 0
   0'(z) -{ 2 }-> 3'(2'(3'(3'(0'(3'(1'(1'(0'(1'(1'(1'(1'(1'(3'(0'(3'(3'(0'(0'(3'(1'(1'(3'(0'(1'(1'(2'(3'(0'(1'(0'(0'(1'(0'(3'(3'(0'(0'(z - 38))))))))))))))))))))))))))))))))))))))) :|: z - 38 >= 0
   0'(z) -{ 2 }-> 3'(2'(3'(3'(0'(3'(1'(1'(0'(1'(1'(1'(1'(1'(3'(0'(3'(3'(0'(0'(2'(2'(3'(3'(0'(2'(0'(0'(0'(1'(0'(2'(3'(3'(0'(3'(0'(1'(3'(z - 38))))))))))))))))))))))))))))))))))))))) :|: z - 38 >= 0
   0'(z) -{ 2 }-> 3'(2'(3'(3'(0'(3'(1'(1'(0'(1'(1'(1'(1'(1'(3'(0'(3'(3'(0'(0'(2'(2'(0'(1'(1'(3'(0'(1'(1'(3'(3'(0'(3'(3'(0'(3'(1'(3'(1'(z - 38))))))))))))))))))))))))))))))))))))))) :|: z - 38 >= 0
   0'(z) -{ 1 }-> 3'(2'(3'(3'(0'(3'(1'(1'(0'(1'(1'(1'(1'(1'(3'(0'(3'(3'(0'(0))))))))))))))))))) :|: z - 19 >= 0
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   3'(z) -{ 2 }-> 3'(3'(3'(3'(1'(3'(3'(1'(1'(3'(1'(2'(3'(3'(3'(2'(2'(0'(2'(1'(1'(1'(0'(2'(3'(3'(0'(3'(1'(3'(0'(2'(1'(1'(0'(3'(2'(3'(3'(z - 38))))))))))))))))))))))))))))))))))))))) :|: z - 38 >= 0
   3'(z) -{ 2 }-> 3'(3'(3'(3'(1'(3'(3'(1'(1'(3'(1'(2'(3'(3'(3'(2'(2'(0'(2'(1'(0'(2'(1'(2'(1'(2'(3'(2'(0'(3'(3'(3'(3'(3'(0'(0'(2'(0'(0'(z - 38))))))))))))))))))))))))))))))))))))))) :|: z - 38 >= 0
   3'(z) -{ 2 }-> 3'(3'(3'(3'(1'(3'(3'(1'(1'(3'(1'(2'(3'(3'(3'(2'(2'(0'(2'(0'(3'(2'(3'(3'(3'(0'(0'(0'(1'(0'(3'(1'(2'(3'(2'(3'(0'(0'(3'(z - 38))))))))))))))))))))))))))))))))))))))) :|: z - 38 >= 0
   3'(z) -{ 2 }-> 3'(3'(3'(3'(1'(3'(3'(1'(1'(3'(1'(2'(3'(3'(3'(2'(2'(0'(2'(0'(3'(1'(1'(3'(0'(1'(1'(2'(3'(0'(1'(0'(0'(1'(0'(3'(3'(0'(0'(z - 38))))))))))))))))))))))))))))))))))))))) :|: z - 38 >= 0
   3'(z) -{ 2 }-> 3'(3'(3'(3'(1'(3'(3'(1'(1'(3'(1'(2'(3'(3'(3'(2'(2'(0'(2'(0'(2'(2'(3'(3'(0'(2'(0'(0'(0'(1'(0'(2'(3'(3'(0'(3'(0'(1'(3'(z - 38))))))))))))))))))))))))))))))))))))))) :|: z - 38 >= 0
   3'(z) -{ 2 }-> 3'(3'(3'(3'(1'(3'(3'(1'(1'(3'(1'(2'(3'(3'(3'(2'(2'(0'(2'(0'(2'(2'(0'(1'(1'(3'(0'(1'(1'(3'(3'(0'(3'(3'(0'(3'(1'(3'(1'(z - 38))))))))))))))))))))))))))))))))))))))) :|: z - 38 >= 0
   3'(z) -{ 1 }-> 3'(3'(3'(3'(1'(3'(3'(1'(1'(3'(1'(2'(3'(3'(3'(2'(2'(0'(2'(0))))))))))))))))))) :|: z - 19 >= 0
   3'(z) -{ 1 }-> 3'(3'(3'(3'(1'(3'(3'(1'(1'(3'(1'(2'(3'(3'(3'(2'(2'(0'(2'(1 + (z - 19)))))))))))))))))))) :|: z - 19 >= 0
   3'(z) -{ 1 }-> 3'(3'(3'(0'(3'(3'(1'(0'(2'(3'(0'(0'(2'(2'(3'(3'(0'(3'(2'(0'(z - 19)))))))))))))))))))) :|: z - 19 >= 0
   3'(z) -{ 1 }-> 3'(3'(3'(0'(2'(3'(3'(0'(2'(0'(3'(3'(3'(3'(1'(0'(0'(1'(3'(0'(z - 19)))))))))))))))))))) :|: z - 19 >= 0
   3'(z) -{ 1 }-> 3'(3'(2'(3'(3'(3'(2'(3'(3'(0'(1'(1'(0'(3'(3'(3'(0'(3'(3'(0'(z - 19)))))))))))))))))))) :|: z - 19 >= 0
   3'(z) -{ 1 }-> 3'(3'(0'(3'(0'(0'(3'(3'(3'(1'(3'(1'(1'(0'(3'(0'(2'(0'(1'(2'(z - 19)))))))))))))))))))) :|: z - 19 >= 0
   3'(z) -{ 1 }-> 3'(1'(3'(3'(1'(0'(3'(0'(3'(0'(2'(3'(3'(1'(0'(1'(0'(3'(1'(0'(z - 19)))))))))))))))))))) :|: z - 19 >= 0
   3'(z) -{ 1 }-> 2'(3'(3'(2'(2'(2'(0'(3'(1'(2'(3'(3'(3'(3'(0'(1'(3'(2'(0'(3'(z - 19)))))))))))))))))))) :|: z - 19 >= 0
   3'(z) -{ 1 }-> 2'(3'(0'(0'(3'(1'(2'(0'(3'(3'(0'(0'(0'(3'(3'(3'(1'(0'(2'(2'(z - 19)))))))))))))))))))) :|: z - 19 >= 0
   3'(z) -{ 1 }-> 2'(2'(3'(1'(3'(1'(3'(3'(1'(3'(3'(0'(0'(2'(1'(2'(3'(3'(3'(2'(z - 19)))))))))))))))))))) :|: z - 19 >= 0
   3'(z) -{ 2 }-> 1'(3'(3'(3'(3'(2'(3'(2'(2'(0'(3'(1'(0'(0'(1'(3'(0'(3'(3'(3'(2'(3'(3'(3'(3'(3'(0'(1'(3'(0'(3'(1'(2'(0'(3'(3'(3'(1'(2'(z - 38))))))))))))))))))))))))))))))))))))))) :|: z - 38 >= 0
   3'(z) -{ 2 }-> 1'(3'(3'(3'(3'(2'(3'(2'(2'(0'(3'(1'(0'(0'(1'(3'(0'(3'(3'(3'(1'(3'(1'(3'(3'(3'(2'(2'(0'(0'(3'(0'(1'(3'(0'(0'(2'(0'(0'(z - 38))))))))))))))))))))))))))))))))))))))) :|: z - 38 >= 0
   3'(z) -{ 2 }-> 1'(3'(3'(3'(3'(2'(3'(2'(2'(0'(3'(1'(0'(0'(1'(3'(0'(3'(3'(2'(3'(3'(3'(0'(1'(1'(3'(3'(3'(0'(1'(2'(3'(0'(0'(2'(2'(0'(0'(z - 38))))))))))))))))))))))))))))))))))))))) :|: z - 38 >= 0
   3'(z) -{ 2 }-> 1'(3'(3'(3'(3'(2'(3'(2'(2'(0'(3'(1'(0'(0'(1'(3'(0'(3'(3'(2'(3'(3'(0'(1'(0'(3'(2'(3'(3'(1'(0'(0'(0'(1'(0'(0'(2'(3'(3'(z - 38))))))))))))))))))))))))))))))))))))))) :|: z - 38 >= 0
   3'(z) -{ 2 }-> 1'(3'(3'(3'(3'(2'(3'(2'(2'(0'(3'(1'(0'(0'(1'(3'(0'(3'(3'(2'(2'(1'(3'(3'(3'(3'(0'(3'(0'(3'(3'(3'(0'(0'(3'(3'(0'(0'(0'(z - 38))))))))))))))))))))))))))))))))))))))) :|: z - 38 >= 0
   3'(z) -{ 2 }-> 1'(3'(3'(3'(3'(2'(3'(2'(2'(0'(3'(1'(0'(0'(1'(3'(0'(3'(3'(2'(2'(0'(0'(3'(3'(1'(2'(1'(3'(3'(0'(2'(3'(2'(2'(1'(2'(3'(3'(z - 38))))))))))))))))))))))))))))))))))))))) :|: z - 38 >= 0
   3'(z) -{ 2 }-> 1'(3'(3'(3'(3'(2'(3'(2'(2'(0'(3'(1'(0'(0'(1'(3'(0'(3'(3'(1'(3'(3'(3'(2'(1'(3'(3'(0'(2'(0'(3'(1'(2'(0'(3'(0'(3'(2'(0'(z - 38))))))))))))))))))))))))))))))))))))))) :|: z - 38 >= 0
   3'(z) -{ 2 }-> 1'(3'(3'(3'(3'(2'(3'(2'(2'(0'(3'(1'(0'(0'(1'(3'(0'(3'(3'(1'(3'(0'(0'(0'(3'(1'(0'(1'(1'(3'(1'(0'(0'(3'(1'(2'(0'(3'(3'(z - 38))))))))))))))))))))))))))))))))))))))) :|: z - 38 >= 0
   3'(z) -{ 2 }-> 1'(3'(3'(3'(3'(2'(3'(2'(2'(0'(3'(1'(0'(0'(1'(3'(0'(3'(3'(1'(2'(3'(0'(3'(0'(2'(1'(0'(2'(0'(3'(1'(3'(0'(3'(3'(2'(2'(3'(z - 38))))))))))))))))))))))))))))))))))))))) :|: z - 38 >= 0
   3'(z) -{ 2 }-> 1'(3'(3'(3'(3'(2'(3'(2'(2'(0'(3'(1'(0'(0'(1'(3'(0'(3'(3'(1'(1'(1'(0'(2'(3'(3'(0'(3'(1'(3'(0'(2'(1'(1'(0'(3'(2'(3'(3'(z - 38))))))))))))))))))))))))))))))))))))))) :|: z - 38 >= 0
   3'(z) -{ 2 }-> 1'(3'(3'(3'(3'(2'(3'(2'(2'(0'(3'(1'(0'(0'(1'(3'(0'(3'(3'(1'(0'(2'(1'(2'(1'(2'(3'(2'(0'(3'(3'(3'(3'(3'(0'(0'(2'(0'(0'(z - 38))))))))))))))))))))))))))))))))))))))) :|: z - 38 >= 0
   3'(z) -{ 2 }-> 1'(3'(3'(3'(3'(2'(3'(2'(2'(0'(3'(1'(0'(0'(1'(3'(0'(3'(3'(0'(3'(2'(3'(3'(3'(0'(0'(0'(1'(0'(3'(1'(2'(3'(2'(3'(0'(0'(3'(z - 38))))))))))))))))))))))))))))))))))))))) :|: z - 38 >= 0
   3'(z) -{ 2 }-> 1'(3'(3'(3'(3'(2'(3'(2'(2'(0'(3'(1'(0'(0'(1'(3'(0'(3'(3'(0'(3'(1'(1'(3'(0'(1'(1'(2'(3'(0'(1'(0'(0'(1'(0'(3'(3'(0'(0'(z - 38))))))))))))))))))))))))))))))))))))))) :|: z - 38 >= 0
   3'(z) -{ 2 }-> 1'(3'(3'(3'(3'(2'(3'(2'(2'(0'(3'(1'(0'(0'(1'(3'(0'(3'(3'(0'(2'(2'(3'(3'(0'(2'(0'(0'(0'(1'(0'(2'(3'(3'(0'(3'(0'(1'(3'(z - 38))))))))))))))))))))))))))))))))))))))) :|: z - 38 >= 0
   3'(z) -{ 2 }-> 1'(3'(3'(3'(3'(2'(3'(2'(2'(0'(3'(1'(0'(0'(1'(3'(0'(3'(3'(0'(2'(2'(0'(1'(1'(3'(0'(1'(1'(3'(3'(0'(3'(3'(0'(3'(1'(3'(1'(z - 38))))))))))))))))))))))))))))))))))))))) :|: z - 38 >= 0
   3'(z) -{ 1 }-> 1'(3'(3'(3'(3'(2'(3'(2'(2'(0'(3'(1'(0'(0'(1'(3'(0'(3'(3'(0))))))))))))))))))) :|: z - 19 >= 0
   3'(z) -{ 1 }-> 1'(3'(3'(3'(3'(2'(3'(2'(2'(0'(3'(1'(0'(0'(1'(3'(0'(3'(3'(1 + (z - 19)))))))))))))))))))) :|: z - 19 >= 0
   3'(z) -{ 1 }-> 1'(3'(0'(2'(1'(3'(3'(2'(0'(2'(3'(1'(3'(0'(3'(0'(0'(2'(1'(0'(z - 19)))))))))))))))))))) :|: z - 19 >= 0
   3'(z) -{ 1 }-> 1'(2'(1'(3'(1'(3'(3'(3'(3'(2'(1'(1'(2'(3'(0'(0'(3'(3'(0'(0'(z - 19)))))))))))))))))))) :|: z - 19 >= 0
   3'(z) -{ 1 }-> 1'(0'(2'(1'(1'(3'(2'(1'(1'(3'(0'(3'(3'(1'(1'(3'(1'(3'(3'(3'(z - 19)))))))))))))))))))) :|: z - 19 >= 0
   3'(z) -{ 1 }-> 1'(0'(0'(1'(3'(0'(1'(1'(2'(0'(3'(3'(3'(3'(0'(0'(3'(0'(3'(2'(z - 19)))))))))))))))))))) :|: z - 19 >= 0
   3'(z) -{ 1 }-> 0'(3'(2'(2'(0'(3'(3'(3'(1'(1'(0'(0'(3'(0'(2'(2'(1'(1'(3'(3'(z - 19)))))))))))))))))))) :|: z - 19 >= 0
   3'(z) -{ 1 }-> 0'(3'(0'(2'(2'(0'(1'(0'(1'(0'(0'(2'(2'(3'(2'(3'(0'(1'(0'(3'(z - 19)))))))))))))))))))) :|: z - 19 >= 0
   3'(z) -{ 1 }-> 0'(3'(0'(0'(2'(3'(0'(2'(2'(1'(0'(1'(2'(0'(1'(3'(1'(3'(1'(3'(z - 19)))))))))))))))))))) :|: z - 19 >= 0
   3'(z) -{ 1 }-> 0'(0'(3'(0'(2'(1'(3'(3'(0'(0'(3'(2'(0'(0'(3'(0'(2'(2'(0'(0'(z - 19)))))))))))))))))))) :|: z - 19 >= 0
   3'(z) -{ 2 }-> 0'(0'(0'(0'(3'(2'(3'(1'(1'(1'(0'(1'(0'(0'(3'(3'(0'(2'(3'(3'(2'(3'(3'(3'(3'(3'(0'(1'(3'(0'(3'(1'(2'(0'(3'(3'(3'(1'(2'(z - 38))))))))))))))))))))))))))))))))))))))) :|: z - 38 >= 0
   3'(z) -{ 2 }-> 0'(0'(0'(0'(3'(2'(3'(1'(1'(1'(0'(1'(0'(0'(3'(3'(0'(2'(3'(3'(1'(3'(1'(3'(3'(3'(2'(2'(0'(0'(3'(0'(1'(3'(0'(0'(2'(0'(0'(z - 38))))))))))))))))))))))))))))))))))))))) :|: z - 38 >= 0
   3'(z) -{ 2 }-> 0'(0'(0'(0'(3'(2'(3'(1'(1'(1'(0'(1'(0'(0'(3'(3'(0'(2'(3'(2'(3'(3'(3'(0'(1'(1'(3'(3'(3'(0'(1'(2'(3'(0'(0'(2'(2'(0'(0'(z - 38))))))))))))))))))))))))))))))))))))))) :|: z - 38 >= 0
   3'(z) -{ 2 }-> 0'(0'(0'(0'(3'(2'(3'(1'(1'(1'(0'(1'(0'(0'(3'(3'(0'(2'(3'(2'(3'(3'(0'(1'(0'(3'(2'(3'(3'(1'(0'(0'(0'(1'(0'(0'(2'(3'(3'(z - 38))))))))))))))))))))))))))))))))))))))) :|: z - 38 >= 0
   3'(z) -{ 2 }-> 0'(0'(0'(0'(3'(2'(3'(1'(1'(1'(0'(1'(0'(0'(3'(3'(0'(2'(3'(2'(2'(1'(3'(3'(3'(3'(0'(3'(0'(3'(3'(3'(0'(0'(3'(3'(0'(0'(0'(z - 38))))))))))))))))))))))))))))))))))))))) :|: z - 38 >= 0
   3'(z) -{ 2 }-> 0'(0'(0'(0'(3'(2'(3'(1'(1'(1'(0'(1'(0'(0'(3'(3'(0'(2'(3'(2'(2'(0'(0'(3'(3'(1'(2'(1'(3'(3'(0'(2'(3'(2'(2'(1'(2'(3'(3'(z - 38))))))))))))))))))))))))))))))))))))))) :|: z - 38 >= 0
   3'(z) -{ 2 }-> 0'(0'(0'(0'(3'(2'(3'(1'(1'(1'(0'(1'(0'(0'(3'(3'(0'(2'(3'(1'(3'(3'(3'(2'(1'(3'(3'(0'(2'(0'(3'(1'(2'(0'(3'(0'(3'(2'(0'(z - 38))))))))))))))))))))))))))))))))))))))) :|: z - 38 >= 0
   3'(z) -{ 2 }-> 0'(0'(0'(0'(3'(2'(3'(1'(1'(1'(0'(1'(0'(0'(3'(3'(0'(2'(3'(1'(3'(0'(0'(0'(3'(1'(0'(1'(1'(3'(1'(0'(0'(3'(1'(2'(0'(3'(3'(z - 38))))))))))))))))))))))))))))))))))))))) :|: z - 38 >= 0
   3'(z) -{ 2 }-> 0'(0'(0'(0'(3'(2'(3'(1'(1'(1'(0'(1'(0'(0'(3'(3'(0'(2'(3'(1'(2'(3'(0'(3'(0'(2'(1'(0'(2'(0'(3'(1'(3'(0'(3'(3'(2'(2'(3'(z - 38))))))))))))))))))))))))))))))))))))))) :|: z - 38 >= 0
   3'(z) -{ 2 }-> 0'(0'(0'(0'(3'(2'(3'(1'(1'(1'(0'(1'(0'(0'(3'(3'(0'(2'(3'(1'(1'(1'(0'(2'(3'(3'(0'(3'(1'(3'(0'(2'(1'(1'(0'(3'(2'(3'(3'(z - 38))))))))))))))))))))))))))))))))))))))) :|: z - 38 >= 0
   3'(z) -{ 2 }-> 0'(0'(0'(0'(3'(2'(3'(1'(1'(1'(0'(1'(0'(0'(3'(3'(0'(2'(3'(1'(0'(2'(1'(2'(1'(2'(3'(2'(0'(3'(3'(3'(3'(3'(0'(0'(2'(0'(0'(z - 38))))))))))))))))))))))))))))))))))))))) :|: z - 38 >= 0
   3'(z) -{ 2 }-> 0'(0'(0'(0'(3'(2'(3'(1'(1'(1'(0'(1'(0'(0'(3'(3'(0'(2'(3'(0'(3'(2'(3'(3'(3'(0'(0'(0'(1'(0'(3'(1'(2'(3'(2'(3'(0'(0'(3'(z - 38))))))))))))))))))))))))))))))))))))))) :|: z - 38 >= 0
   3'(z) -{ 2 }-> 0'(0'(0'(0'(3'(2'(3'(1'(1'(1'(0'(1'(0'(0'(3'(3'(0'(2'(3'(0'(3'(1'(1'(3'(0'(1'(1'(2'(3'(0'(1'(0'(0'(1'(0'(3'(3'(0'(0'(z - 38))))))))))))))))))))))))))))))))))))))) :|: z - 38 >= 0
   3'(z) -{ 2 }-> 0'(0'(0'(0'(3'(2'(3'(1'(1'(1'(0'(1'(0'(0'(3'(3'(0'(2'(3'(0'(2'(2'(3'(3'(0'(2'(0'(0'(0'(1'(0'(2'(3'(3'(0'(3'(0'(1'(3'(z - 38))))))))))))))))))))))))))))))))))))))) :|: z - 38 >= 0
   3'(z) -{ 2 }-> 0'(0'(0'(0'(3'(2'(3'(1'(1'(1'(0'(1'(0'(0'(3'(3'(0'(2'(3'(0'(2'(2'(0'(1'(1'(3'(0'(1'(1'(3'(3'(0'(3'(3'(0'(3'(1'(3'(1'(z - 38))))))))))))))))))))))))))))))))))))))) :|: z - 38 >= 0
   3'(z) -{ 1 }-> 0'(0'(0'(0'(3'(2'(3'(1'(1'(1'(0'(1'(0'(0'(3'(3'(0'(2'(3'(0))))))))))))))))))) :|: z - 19 >= 0
   3'(z) -{ 1 }-> 0'(0'(0'(0'(3'(2'(3'(1'(1'(1'(0'(1'(0'(0'(3'(3'(0'(2'(3'(1 + (z - 19)))))))))))))))))))) :|: z - 19 >= 0
   3'(z) -{ 1 }-> 0'(0'(0'(0'(1'(3'(3'(1'(1'(3'(1'(3'(0'(1'(0'(3'(3'(1'(1'(3'(z - 19)))))))))))))))))))) :|: z - 19 >= 0
   3'(z) -{ 0 }-> 0 :|: z >= 0
   3'(z) -{ 0 }-> 1 + z :|: z >= 0
   encArg(z) -{ 0 }-> 3'(3'(encArg(z - 2))) :|: z - 2 >= 0
   encArg(z) -{ 0 }-> 3'(2'(encArg(z - 2))) :|: z - 2 >= 0
   encArg(z) -{ 0 }-> 3'(1'(encArg(z - 2))) :|: z - 2 >= 0
   encArg(z) -{ 0 }-> 3'(0'(encArg(z - 2))) :|: z - 2 >= 0
   encArg(z) -{ 0 }-> 3'(0) :|: z - 1 >= 0
   encArg(z) -{ 0 }-> 2'(3'(encArg(z - 2))) :|: z - 2 >= 0
   encArg(z) -{ 0 }-> 2'(2'(encArg(z - 2))) :|: z - 2 >= 0
   encArg(z) -{ 0 }-> 2'(1'(encArg(z - 2))) :|: z - 2 >= 0
   encArg(z) -{ 0 }-> 2'(0'(encArg(z - 2))) :|: z - 2 >= 0
   encArg(z) -{ 0 }-> 2'(0) :|: z - 1 >= 0
   encArg(z) -{ 0 }-> 1'(3'(encArg(z - 2))) :|: z - 2 >= 0
   encArg(z) -{ 0 }-> 1'(2'(encArg(z - 2))) :|: z - 2 >= 0
   encArg(z) -{ 0 }-> 1'(1'(encArg(z - 2))) :|: z - 2 >= 0
   encArg(z) -{ 0 }-> 1'(0'(encArg(z - 2))) :|: z - 2 >= 0
   encArg(z) -{ 0 }-> 1'(0) :|: z - 1 >= 0
   encArg(z) -{ 0 }-> 0'(3'(encArg(z - 2))) :|: z - 2 >= 0
   encArg(z) -{ 0 }-> 0'(2'(encArg(z - 2))) :|: z - 2 >= 0
   encArg(z) -{ 0 }-> 0'(1'(encArg(z - 2))) :|: z - 2 >= 0
   encArg(z) -{ 0 }-> 0'(0'(encArg(z - 2))) :|: z - 2 >= 0
   encArg(z) -{ 0 }-> 0'(0) :|: z - 1 >= 0
   encArg(z) -{ 0 }-> 0 :|: z >= 0
   encode_0(z) -{ 0 }-> 0'(3'(encArg(z - 1))) :|: z - 1 >= 0
   encode_0(z) -{ 0 }-> 0'(2'(encArg(z - 1))) :|: z - 1 >= 0
   encode_0(z) -{ 0 }-> 0'(1'(encArg(z - 1))) :|: z - 1 >= 0
   encode_0(z) -{ 0 }-> 0'(0'(encArg(z - 1))) :|: z - 1 >= 0
   encode_0(z) -{ 0 }-> 0'(0) :|: z >= 0
   encode_0(z) -{ 0 }-> 0 :|: z >= 0
   encode_1(z) -{ 0 }-> 1'(3'(encArg(z - 1))) :|: z - 1 >= 0
   encode_1(z) -{ 0 }-> 1'(2'(encArg(z - 1))) :|: z - 1 >= 0
   encode_1(z) -{ 0 }-> 1'(1'(encArg(z - 1))) :|: z - 1 >= 0
   encode_1(z) -{ 0 }-> 1'(0'(encArg(z - 1))) :|: z - 1 >= 0
   encode_1(z) -{ 0 }-> 1'(0) :|: z >= 0
   encode_1(z) -{ 0 }-> 0 :|: z >= 0
   encode_2(z) -{ 0 }-> 2'(3'(encArg(z - 1))) :|: z - 1 >= 0
   encode_2(z) -{ 0 }-> 2'(2'(encArg(z - 1))) :|: z - 1 >= 0
   encode_2(z) -{ 0 }-> 2'(1'(encArg(z - 1))) :|: z - 1 >= 0
   encode_2(z) -{ 0 }-> 2'(0'(encArg(z - 1))) :|: z - 1 >= 0
   encode_2(z) -{ 0 }-> 2'(0) :|: z >= 0
   encode_2(z) -{ 0 }-> 0 :|: z >= 0
   encode_3(z) -{ 0 }-> 3'(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


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

(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]
   0'(v0) -> null_0' [0]
   1'(v0) -> null_1' [0]
   2'(v0) -> null_2' [0]
   3'(v0) -> null_3' [0]

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

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

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

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

   0'(c_1(c_1(c_1(c_0(c_0(c_0(c_0(c_0(c_0(c_3(c_0(c_1(c_0(c_1(c_0(c_2(c_0(c_3(c_1(x1)))))))))))))))))))) -> 1'(0'(2'(1'(3'(0'(1'(0'(2'(3'(0'(0'(3'(3'(0'(1'(0'(0'(1'(0'(x1)))))))))))))))))))) [1]
   2'(c_1(c_1(c_0(c_2(c_3(c_0(c_2(c_3(c_3(c_3(c_2(c_1(c_2(c_3(c_1(c_0(c_2(c_3(c_2(x1)))))))))))))))))))) -> 1'(3'(3'(3'(0'(1'(2'(1'(1'(3'(3'(0'(3'(0'(2'(2'(2'(2'(1'(1'(x1)))))))))))))))))))) [1]
   3'(c_3(c_0(c_2(c_2(c_3(c_3(c_1(c_2(c_2(c_0(c_0(c_3(c_2(c_0(c_2(c_1(c_0(c_3(c_3(x1)))))))))))))))))))) -> 1'(0'(2'(1'(1'(3'(2'(1'(1'(3'(0'(3'(3'(1'(1'(3'(1'(3'(3'(3'(x1)))))))))))))))))))) [1]
   2'(c_3(c_1(c_3(c_3(c_3(c_2(c_0(c_1(c_2(c_0(c_0(c_2(c_3(c_3(c_0(c_0(c_1(c_1(c_2(x1)))))))))))))))))))) -> 0'(2'(0'(2'(1'(3'(3'(0'(2'(1'(0'(3'(2'(3'(0'(2'(2'(1'(3'(3'(x1)))))))))))))))))))) [1]
   0'(c_0(c_1(c_2(c_3(c_0(c_1(c_0(c_3(c_0(c_3(c_1(c_1(c_1(c_0(c_1(c_3(c_3(c_2(c_3(x1)))))))))))))))))))) -> 3'(0'(3'(1'(1'(0'(2'(3'(0'(3'(3'(1'(3'(1'(0'(3'(0'(1'(2'(3'(x1)))))))))))))))))))) [1]
   0'(c_2(c_0(c_3(c_1(c_1(c_3(c_2(c_3(c_3(c_0(c_2(c_2(c_0(c_2(c_3(c_0(c_0(c_2(c_3(x1)))))))))))))))))))) -> 0'(0'(3'(3'(2'(3'(3'(3'(0'(1'(1'(1'(2'(2'(3'(1'(3'(1'(1'(3'(x1)))))))))))))))))))) [1]
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   0'(c_0(c_0(c_0(c_1(c_0(c_2(c_3(c_1(c_3(c_0(c_2(c_0(c_1(c_0(c_2(c_1(c_2(c_3(c_3(x1)))))))))))))))))))) -> 0'(0'(0'(2'(2'(1'(3'(3'(3'(0'(3'(3'(1'(3'(1'(1'(1'(1'(3'(3'(x1)))))))))))))))))))) [1]
   2'(c_1(c_1(c_3(c_3(c_1(c_0(c_2(c_2(c_2(c_2(c_2(c_3(c_0(c_1(c_0(c_2(c_2(c_3(c_3(x1)))))))))))))))))))) -> 0'(3'(0'(3'(1'(3'(0'(3'(3'(1'(3'(3'(0'(3'(1'(3'(3'(0'(3'(1'(x1)))))))))))))))))))) [1]
   2'(c_2(c_3(c_3(c_2(c_2(c_2(c_2(c_3(c_0(c_2(c_3(c_0(c_2(c_0(c_1(c_1(c_3(c_3(c_1(x1)))))))))))))))))))) -> 2'(2'(2'(0'(0'(1'(0'(0'(1'(3'(3'(3'(3'(3'(2'(1'(0'(0'(0'(3'(x1)))))))))))))))))))) [1]
   2'(c_1(c_3(c_3(c_1(c_1(c_3(c_2(c_1(c_3(c_3(c_1(c_1(c_0(c_2(c_2(c_3(c_0(c_0(c_0(x1)))))))))))))))))))) -> 2'(0'(0'(0'(1'(0'(0'(3'(1'(1'(1'(3'(0'(0'(3'(0'(1'(3'(3'(2'(x1)))))))))))))))))))) [1]
   0'(c_2(c_1(c_3(c_0(c_0(c_0(c_3(c_2(c_0(c_1(c_1(c_0(c_0(c_0(c_2(c_2(c_3(c_1(c_3(x1)))))))))))))))))))) -> 3'(3'(0'(3'(0'(3'(3'(0'(1'(1'(0'(1'(0'(2'(0'(2'(3'(1'(2'(3'(x1)))))))))))))))))))) [1]
   3'(c_0(c_2(c_1(c_2(c_1(c_3(c_1(c_3(c_0(c_3(c_1(c_3(c_0(c_2(c_0(c_2(c_0(c_3(c_2(x1)))))))))))))))))))) -> 2'(2'(3'(1'(3'(1'(3'(3'(1'(3'(3'(0'(0'(2'(1'(2'(3'(3'(3'(2'(x1)))))))))))))))))))) [1]
   3'(c_0(c_2(c_2(c_1(c_1(c_0(c_1(c_1(c_1(c_3(c_0(c_3(c_1(c_3(c_2(c_1(c_3(c_3(c_0(x1)))))))))))))))))))) -> 0'(0'(0'(0'(1'(3'(3'(1'(1'(3'(1'(3'(0'(1'(0'(3'(3'(1'(1'(3'(x1)))))))))))))))))))) [1]
   2'(c_1(c_1(c_0(c_3(c_0(c_1(c_2(c_3(c_3(c_1(c_1(c_1(c_3(c_0(c_0(c_3(c_1(c_3(c_0(x1)))))))))))))))))))) -> 2'(2'(0'(3'(2'(0'(0'(1'(2'(1'(1'(3'(1'(3'(3'(0'(3'(3'(3'(0'(x1)))))))))))))))))))) [1]
   3'(c_1(c_3(c_0(c_2(c_1(c_1(c_2(c_0(c_3(c_2(c_2(c_1(c_3(c_1(c_1(c_2(c_2(c_3(c_3(x1)))))))))))))))))))) -> 1'(0'(0'(1'(3'(0'(1'(1'(2'(0'(3'(3'(3'(3'(0'(0'(3'(0'(3'(2'(x1)))))))))))))))))))) [1]
   3'(c_0(c_2(c_0(c_2(c_0(c_1(c_1(c_3(c_0(c_0(c_3(c_0(c_0(c_2(c_0(c_0(c_3(c_2(c_3(x1)))))))))))))))))))) -> 0'(3'(2'(2'(0'(3'(3'(3'(1'(1'(0'(0'(3'(0'(2'(2'(1'(1'(3'(3'(x1)))))))))))))))))))) [1]
   2'(c_0(c_1(c_0(c_1(c_3(c_2(c_3(c_0(c_0(c_2(c_1(c_0(c_2(c_0(c_3(c_1(c_0(c_2(c_3(x1)))))))))))))))))))) -> 3'(3'(3'(0'(3'(3'(2'(3'(1'(3'(1'(3'(3'(0'(3'(3'(0'(2'(1'(0'(x1)))))))))))))))))))) [1]
   0'(c_3(c_1(c_0(c_0(c_3(c_1(c_2(c_2(c_1(c_0(c_0(c_0(c_3(c_0(c_1(c_2(c_0(c_3(c_3(x1)))))))))))))))))))) -> 0'(2'(3'(2'(3'(3'(1'(0'(0'(0'(3'(1'(1'(0'(2'(0'(0'(0'(3'(3'(x1)))))))))))))))))))) [1]
   0'(c_0(c_0(c_3(c_1(c_3(c_2(c_1(c_3(c_3(c_3(c_2(c_2(c_3(c_1(c_3(c_0(c_3(c_2(c_3(x1)))))))))))))))))))) -> 0'(3'(3'(2'(0'(1'(2'(3'(0'(0'(2'(2'(1'(3'(3'(3'(2'(3'(3'(3'(x1)))))))))))))))))))) [1]
   2'(c_0(c_3(c_1(c_3(c_3(c_3(c_1(c_2(c_3(c_0(c_1(c_2(c_2(c_3(c_2(c_1(c_0(c_3(c_1(x1)))))))))))))))))))) -> 1'(0'(3'(3'(1'(3'(0'(1'(2'(3'(0'(1'(0'(3'(3'(0'(3'(2'(1'(1'(x1)))))))))))))))))))) [1]
   3'(c_0(c_0(c_1(c_1(c_1(c_3(c_3(c_3(c_0(c_2(c_2(c_1(c_3(c_1(c_2(c_3(c_1(c_1(c_0(x1)))))))))))))))))))) -> 1'(3'(0'(2'(1'(3'(3'(2'(0'(2'(3'(1'(3'(0'(3'(0'(0'(2'(1'(0'(x1)))))))))))))))))))) [1]
   1'(c_2(c_3(c_0(c_0(c_3(c_0(c_2(c_0(c_1(c_0(c_1(c_1(c_1(c_3(c_3(c_2(c_1(c_2(c_3(x1)))))))))))))))))))) -> 2'(3'(3'(3'(0'(1'(1'(3'(3'(3'(0'(1'(2'(3'(0'(0'(2'(2'(0'(0'(x1)))))))))))))))))))) [1]
   1'(c_3(c_1(c_2(c_0(c_3(c_0(c_0(c_2(c_1(c_0(c_3(c_0(c_3(c_2(c_1(c_3(c_3(c_2(c_3(x1)))))))))))))))))))) -> 0'(3'(1'(1'(3'(0'(1'(1'(2'(3'(0'(1'(0'(0'(1'(0'(3'(3'(0'(0'(x1)))))))))))))))))))) [1]
   2'(c_3(c_0(c_3(c_3(c_2(c_3(c_0(c_1(c_3(c_2(c_2(c_3(c_3(c_0(c_2(c_2(c_0(c_1(c_2(x1)))))))))))))))))))) -> 2'(0'(1'(3'(0'(2'(2'(3'(2'(0'(3'(3'(2'(0'(3'(1'(0'(3'(0'(2'(x1)))))))))))))))))))) [1]
   2'(c_3(c_2(c_2(c_0(c_3(c_3(c_1(c_1(c_1(c_3(c_0(c_0(c_1(c_0(c_0(c_2(c_3(c_0(c_3(x1)))))))))))))))))))) -> 2'(3'(1'(1'(0'(3'(2'(2'(1'(3'(0'(3'(3'(2'(0'(0'(1'(1'(3'(3'(x1)))))))))))))))))))) [1]
   0'(c_0(c_2(c_0(c_2(c_3(c_0(c_0(c_1(c_1(c_3(c_1(c_3(c_0(c_0(c_3(c_0(c_3(c_0(c_1(x1)))))))))))))))))))) -> 1'(3'(0'(1'(3'(0'(3'(0'(3'(0'(1'(0'(2'(3'(0'(2'(0'(0'(0'(2'(x1)))))))))))))))))))) [1]
   2'(c_0(c_1(c_0(c_2(c_2(c_0(c_3(c_0(c_2(c_2(c_3(c_3(c_2(c_1(c_3(c_0(c_2(c_3(c_1(x1)))))))))))))))))))) -> 2'(3'(3'(0'(3'(0'(0'(2'(3'(3'(1'(1'(3'(3'(0'(1'(2'(3'(2'(0'(x1)))))))))))))))))))) [1]
   1'(c_2(c_1(c_2(c_2(c_3(c_0(c_3(c_0(c_1(c_2(c_3(c_3(c_3(c_0(c_0(c_3(c_1(c_1(c_3(x1)))))))))))))))))))) -> 2'(3'(3'(0'(1'(0'(3'(2'(3'(3'(1'(0'(0'(0'(1'(0'(0'(2'(3'(3'(x1)))))))))))))))))))) [1]
   3'(c_0(c_3(c_2(c_1(c_3(c_0(c_3(c_3(c_0(c_3(c_3(c_0(c_3(c_0(c_3(c_1(c_0(c_0(c_1(x1)))))))))))))))))))) -> 3'(3'(3'(3'(2'(3'(0'(1'(0'(0'(0'(3'(3'(1'(3'(3'(3'(1'(1'(2'(x1)))))))))))))))))))) [1]
   1'(c_0(c_3(c_2(c_0(c_1(c_2(c_3(c_0(c_3(c_3(c_0(c_2(c_3(c_3(c_2(c_1(c_1(c_1(c_3(x1)))))))))))))))))))) -> 2'(2'(1'(3'(3'(3'(3'(0'(3'(0'(3'(3'(3'(0'(0'(3'(3'(0'(0'(0'(x1)))))))))))))))))))) [1]
   0'(c_1(c_3(c_1(c_0(c_2(c_0(c_2(c_2(c_2(c_1(c_2(c_0(c_1(c_3(c_3(c_0(c_3(c_0(c_3(x1)))))))))))))))))))) -> 3'(2'(1'(0'(3'(2'(3'(0'(0'(0'(1'(3'(0'(0'(3'(3'(3'(1'(3'(2'(x1)))))))))))))))))))) [1]
   3'(c_3(c_1(c_0(c_1(c_3(c_0(c_0(c_3(c_1(c_2(c_1(c_0(c_0(c_3(c_0(c_1(c_0(c_3(c_1(x1)))))))))))))))))))) -> 1'(3'(3'(3'(3'(2'(3'(2'(2'(0'(3'(1'(0'(0'(1'(3'(0'(3'(3'(1'(x1)))))))))))))))))))) [1]
   3'(c_3(c_3(c_3(c_1(c_1(c_3(c_2(c_3(c_0(c_3(c_3(c_0(c_3(c_2(c_1(c_0(c_0(c_2(c_2(x1)))))))))))))))))))) -> 3'(3'(0'(3'(0'(0'(3'(3'(3'(1'(3'(1'(1'(0'(3'(0'(2'(0'(1'(2'(x1)))))))))))))))))))) [1]
   2'(c_0(c_0(c_2(c_1(c_2(c_1(c_1(c_3(c_0(c_2(c_3(c_2(c_1(c_3(c_3(c_1(c_3(c_2(c_3(x1)))))))))))))))))))) -> 2'(2'(3'(1'(1'(0'(1'(0'(1'(1'(0'(1'(0'(3'(3'(1'(3'(3'(3'(1'(x1)))))))))))))))))))) [1]
   3'(c_2(c_3(c_0(c_1(c_3(c_2(c_2(c_0(c_1(c_1(c_3(c_3(c_3(c_1(c_2(c_3(c_1(c_1(c_0(x1)))))))))))))))))))) -> 0'(0'(0'(0'(3'(2'(3'(1'(1'(1'(0'(1'(0'(0'(3'(3'(0'(2'(3'(1'(x1)))))))))))))))))))) [1]
   2'(c_1(c_1(c_1(c_0(c_1(c_3(c_1(c_0(c_3(c_2(c_3(c_0(c_0(c_0(c_3(c_1(c_1(c_0(c_3(x1)))))))))))))))))))) -> 1'(1'(1'(0'(1'(1'(2'(0'(2'(1'(0'(0'(3'(3'(0'(2'(0'(3'(0'(3'(x1)))))))))))))))))))) [1]
   2'(c_1(c_3(c_1(c_3(c_3(c_1(c_1(c_1(c_1(c_1(c_1(c_0(c_2(c_3(c_2(c_3(c_0(c_0(c_3(x1)))))))))))))))))))) -> 1'(3'(0'(0'(2'(0'(0'(2'(0'(3'(2'(2'(0'(1'(3'(3'(3'(0'(0'(3'(x1)))))))))))))))))))) [1]
   2'(c_1(c_0(c_3(c_0(c_2(c_0(c_2(c_1(c_3(c_3(c_3(c_1(c_1(c_1(c_0(c_0(c_3(c_3(c_2(x1)))))))))))))))))))) -> 2'(2'(1'(3'(0'(0'(1'(3'(0'(3'(3'(0'(3'(3'(1'(0'(1'(1'(0'(1'(x1)))))))))))))))))))) [1]
   2'(c_3(c_1(c_2(c_0(c_3(c_2(c_0(c_2(c_3(c_3(c_0(c_2(c_0(c_0(c_1(c_0(c_1(c_0(c_3(x1)))))))))))))))))))) -> 0'(3'(1'(3'(0'(3'(3'(0'(1'(0'(0'(3'(2'(0'(0'(0'(3'(3'(2'(3'(x1)))))))))))))))))))) [1]
   3'(c_0(c_3(c_2(c_2(c_2(c_3(c_1(c_3(c_0(c_2(c_1(c_0(c_1(c_0(c_2(c_2(c_3(c_3(c_1(x1)))))))))))))))))))) -> 2'(3'(0'(0'(3'(1'(2'(0'(3'(3'(0'(0'(0'(3'(3'(3'(1'(0'(2'(2'(x1)))))))))))))))))))) [1]
   0'(c_2(c_2(c_2(c_1(c_3(c_2(c_1(c_2(c_1(c_3(c_0(c_2(c_3(c_2(c_1(c_0(c_0(c_1(c_3(x1)))))))))))))))))))) -> 0'(1'(0'(2'(0'(0'(0'(0'(0'(3'(0'(0'(0'(2'(3'(2'(2'(3'(3'(0'(x1)))))))))))))))))))) [1]
   3'(c_2(c_0(c_3(c_3(c_1(c_3(c_2(c_3(c_0(c_3(c_2(c_3(c_1(c_3(c_0(c_2(c_1(c_3(c_0(x1)))))))))))))))))))) -> 3'(3'(3'(0'(2'(3'(3'(0'(2'(0'(3'(3'(3'(3'(1'(0'(0'(1'(3'(0'(x1)))))))))))))))))))) [1]
   0'(c_2(c_1(c_3(c_2(c_0(c_2(c_1(c_0(c_1(c_0(c_3(c_0(c_1(c_1(c_1(c_3(c_3(c_3(c_0(x1)))))))))))))))))))) -> 3'(0'(2'(1'(3'(3'(3'(3'(1'(3'(2'(2'(1'(0'(0'(0'(3'(0'(1'(1'(x1)))))))))))))))))))) [1]
   2'(c_2(c_3(c_2(c_0(c_0(c_3(c_0(c_3(c_3(c_2(c_2(c_2(c_0(c_2(c_3(c_3(c_3(c_3(c_2(x1)))))))))))))))))))) -> 1'(0'(3'(1'(2'(3'(3'(2'(3'(3'(3'(3'(0'(1'(3'(1'(0'(3'(0'(3'(x1)))))))))))))))))))) [1]
   2'(c_2(c_3(c_3(c_0(c_2(c_2(c_0(c_1(c_3(c_1(c_3(c_3(c_0(c_3(c_2(c_2(c_2(c_1(c_2(x1)))))))))))))))))))) -> 2'(0'(0'(0'(3'(0'(3'(1'(3'(2'(0'(0'(1'(1'(3'(0'(0'(3'(2'(3'(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]
   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]
   0'(x0) -> c_0(x0) [0]
   1'(x0) -> c_1(x0) [0]
   2'(x0) -> c_2(x0) [0]
   3'(x0) -> c_3(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]
   0'(v0) -> null_0' [0]
   1'(v0) -> null_1' [0]
   2'(v0) -> null_2' [0]
   3'(v0) -> null_3' [0]

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

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_0' => 0
   null_1' => 0
   null_2' => 0
   null_3' => 0
   const => 0

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

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

   0'(z) -{ 1 }-> 3'(3'(0'(3'(0'(3'(3'(0'(1'(1'(0'(1'(0'(2'(0'(2'(3'(1'(2'(3'(x1)))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   0'(z) -{ 1 }-> 3'(2'(3'(3'(0'(3'(1'(1'(0'(1'(1'(1'(1'(1'(3'(0'(3'(3'(0'(1'(x1)))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   0'(z) -{ 1 }-> 3'(2'(1'(0'(3'(2'(3'(0'(0'(0'(1'(3'(0'(0'(3'(3'(3'(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))))))))))))))))))
   0'(z) -{ 1 }-> 3'(1'(3'(0'(1'(0'(0'(0'(1'(1'(3'(0'(2'(2'(1'(2'(3'(1'(0'(3'(x1)))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   0'(z) -{ 1 }-> 3'(1'(2'(3'(3'(3'(1'(0'(3'(3'(2'(0'(2'(2'(3'(1'(1'(1'(3'(1'(x1)))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   0'(z) -{ 1 }-> 3'(1'(0'(1'(3'(1'(0'(3'(0'(3'(1'(3'(2'(1'(0'(1'(1'(3'(1'(3'(x1)))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   0'(z) -{ 1 }-> 3'(0'(3'(3'(3'(3'(3'(2'(3'(3'(3'(1'(0'(0'(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))))))))))))))))))
   0'(z) -{ 1 }-> 3'(0'(3'(1'(1'(0'(2'(3'(0'(3'(3'(1'(3'(1'(0'(3'(0'(1'(2'(3'(x1)))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   0'(z) -{ 1 }-> 3'(0'(2'(1'(3'(3'(3'(3'(1'(3'(2'(2'(1'(0'(0'(0'(3'(0'(1'(1'(x1)))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   0'(z) -{ 1 }-> 3'(0'(1'(2'(1'(2'(0'(2'(2'(1'(3'(2'(2'(3'(3'(3'(3'(3'(3'(3'(x1)))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   0'(z) -{ 1 }-> 2'(3'(1'(2'(3'(2'(3'(3'(0'(2'(3'(3'(0'(0'(0'(2'(1'(2'(3'(3'(x1)))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   0'(z) -{ 1 }-> 1'(3'(3'(3'(0'(1'(0'(0'(3'(0'(1'(3'(3'(3'(3'(0'(2'(3'(2'(3'(x1)))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   0'(z) -{ 1 }-> 1'(3'(0'(1'(3'(0'(3'(0'(3'(0'(1'(0'(2'(3'(0'(2'(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))))))))))))))))))
   0'(z) -{ 1 }-> 1'(2'(3'(3'(0'(1'(3'(3'(0'(1'(0'(3'(3'(3'(0'(2'(0'(2'(1'(3'(x1)))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   0'(z) -{ 1 }-> 1'(1'(1'(3'(1'(3'(0'(2'(3'(2'(3'(0'(2'(3'(3'(2'(3'(3'(0'(3'(x1)))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   0'(z) -{ 1 }-> 1'(0'(2'(1'(3'(0'(1'(0'(2'(3'(0'(0'(3'(3'(0'(1'(0'(0'(1'(0'(x1)))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   0'(z) -{ 1 }-> 0'(3'(3'(2'(2'(3'(2'(3'(2'(0'(0'(2'(3'(3'(3'(3'(3'(0'(1'(0'(x1)))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   0'(z) -{ 1 }-> 0'(3'(3'(2'(0'(1'(2'(3'(0'(0'(2'(2'(1'(3'(3'(3'(2'(3'(3'(3'(x1)))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   0'(z) -{ 1 }-> 0'(2'(3'(2'(3'(3'(1'(0'(0'(0'(3'(1'(1'(0'(2'(0'(0'(0'(3'(3'(x1)))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   0'(z) -{ 1 }-> 0'(1'(0'(2'(0'(0'(0'(0'(0'(3'(0'(0'(0'(2'(3'(2'(2'(3'(3'(0'(x1)))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   0'(z) -{ 1 }-> 0'(0'(3'(3'(2'(3'(3'(3'(0'(1'(1'(1'(2'(2'(3'(1'(3'(1'(1'(3'(x1)))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   0'(z) -{ 1 }-> 0'(0'(3'(0'(2'(1'(3'(3'(1'(3'(2'(3'(3'(3'(2'(0'(0'(1'(0'(2'(x1)))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   0'(z) -{ 1 }-> 0'(0'(3'(0'(0'(0'(2'(1'(0'(0'(1'(2'(0'(0'(3'(3'(3'(3'(1'(0'(x1)))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   0'(z) -{ 1 }-> 0'(0'(2'(0'(0'(3'(3'(1'(1'(1'(1'(3'(0'(1'(1'(0'(0'(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))))))))))))))))))
   0'(z) -{ 1 }-> 0'(0'(1'(3'(3'(0'(1'(3'(3'(0'(1'(2'(3'(2'(2'(0'(3'(2'(3'(3'(x1)))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   0'(z) -{ 1 }-> 0'(0'(1'(0'(2'(1'(3'(0'(1'(0'(0'(3'(1'(0'(3'(3'(2'(2'(3'(3'(x1)))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   0'(z) -{ 1 }-> 0'(0'(0'(2'(2'(1'(3'(3'(3'(0'(3'(3'(1'(3'(1'(1'(1'(1'(3'(3'(x1)))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   0'(z) -{ 0 }-> 0 :|: v0 >= 0, z = v0
   0'(z) -{ 0 }-> 1 + x0 :|: z = x0, x0 >= 0
   1'(z) -{ 1 }-> 3'(2'(3'(3'(3'(3'(3'(0'(1'(3'(0'(3'(1'(2'(0'(3'(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))))))))))))))))))
   1'(z) -{ 1 }-> 3'(1'(3'(1'(3'(3'(3'(2'(2'(0'(0'(3'(0'(1'(3'(0'(0'(2'(0'(0'(x1)))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   1'(z) -{ 1 }-> 2'(3'(3'(3'(0'(1'(1'(3'(3'(3'(0'(1'(2'(3'(0'(0'(2'(2'(0'(0'(x1)))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   1'(z) -{ 1 }-> 2'(3'(3'(0'(1'(0'(3'(2'(3'(3'(1'(0'(0'(0'(1'(0'(0'(2'(3'(3'(x1)))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   1'(z) -{ 1 }-> 2'(2'(1'(3'(3'(3'(3'(0'(3'(0'(3'(3'(3'(0'(0'(3'(3'(0'(0'(0'(x1)))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   1'(z) -{ 1 }-> 2'(2'(0'(0'(3'(3'(1'(2'(1'(3'(3'(0'(2'(3'(2'(2'(1'(2'(3'(3'(x1)))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   1'(z) -{ 1 }-> 1'(3'(3'(3'(2'(1'(3'(3'(0'(2'(0'(3'(1'(2'(0'(3'(0'(3'(2'(0'(x1)))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   1'(z) -{ 1 }-> 1'(3'(0'(0'(0'(3'(1'(0'(1'(1'(3'(1'(0'(0'(3'(1'(2'(0'(3'(3'(x1)))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   1'(z) -{ 1 }-> 1'(2'(3'(0'(3'(0'(2'(1'(0'(2'(0'(3'(1'(3'(0'(3'(3'(2'(2'(3'(x1)))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   1'(z) -{ 1 }-> 1'(1'(1'(0'(2'(3'(3'(0'(3'(1'(3'(0'(2'(1'(1'(0'(3'(2'(3'(3'(x1)))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   1'(z) -{ 1 }-> 1'(0'(2'(1'(2'(1'(2'(3'(2'(0'(3'(3'(3'(3'(3'(0'(0'(2'(0'(0'(x1)))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   1'(z) -{ 1 }-> 0'(3'(2'(3'(3'(3'(0'(0'(0'(1'(0'(3'(1'(2'(3'(2'(3'(0'(0'(3'(x1)))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   1'(z) -{ 1 }-> 0'(3'(1'(1'(3'(0'(1'(1'(2'(3'(0'(1'(0'(0'(1'(0'(3'(3'(0'(0'(x1)))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   1'(z) -{ 1 }-> 0'(2'(2'(3'(3'(0'(2'(0'(0'(0'(1'(0'(2'(3'(3'(0'(3'(0'(1'(3'(x1)))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   1'(z) -{ 1 }-> 0'(2'(2'(0'(1'(1'(3'(0'(1'(1'(3'(3'(0'(3'(3'(0'(3'(1'(3'(1'(x1)))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   1'(z) -{ 0 }-> 0 :|: v0 >= 0, z = v0
   1'(z) -{ 0 }-> 1 + x0 :|: z = x0, x0 >= 0
   2'(z) -{ 1 }-> 3'(3'(3'(0'(3'(3'(2'(3'(1'(3'(1'(3'(3'(0'(3'(3'(0'(2'(1'(0'(x1)))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   2'(z) -{ 1 }-> 3'(2'(0'(0'(0'(1'(3'(1'(3'(3'(1'(3'(0'(0'(2'(3'(0'(1'(1'(1'(x1)))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   2'(z) -{ 1 }-> 3'(0'(2'(0'(3'(3'(2'(2'(3'(3'(0'(2'(3'(2'(1'(0'(0'(2'(1'(3'(x1)))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   2'(z) -{ 1 }-> 3'(0'(0'(0'(2'(0'(1'(0'(1'(0'(0'(1'(0'(0'(3'(1'(0'(1'(3'(3'(x1)))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   2'(z) -{ 1 }-> 2'(3'(3'(0'(3'(0'(0'(2'(3'(3'(1'(1'(3'(3'(0'(1'(2'(3'(2'(0'(x1)))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   2'(z) -{ 1 }-> 2'(3'(1'(3'(1'(3'(0'(1'(3'(0'(0'(1'(3'(3'(3'(0'(0'(1'(0'(2'(x1)))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   2'(z) -{ 1 }-> 2'(3'(1'(1'(0'(3'(2'(2'(1'(3'(0'(3'(3'(2'(0'(0'(1'(1'(3'(3'(x1)))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   2'(z) -{ 1 }-> 2'(2'(3'(3'(0'(1'(0'(3'(0'(0'(0'(1'(1'(3'(1'(0'(2'(2'(0'(3'(x1)))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   2'(z) -{ 1 }-> 2'(2'(3'(1'(1'(0'(1'(0'(1'(1'(0'(1'(0'(3'(3'(1'(3'(3'(3'(1'(x1)))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   2'(z) -{ 1 }-> 2'(2'(2'(3'(2'(1'(3'(0'(3'(3'(3'(0'(2'(3'(3'(1'(2'(0'(3'(3'(x1)))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   2'(z) -{ 1 }-> 2'(2'(2'(0'(0'(1'(0'(0'(1'(3'(3'(3'(3'(3'(2'(1'(0'(0'(0'(3'(x1)))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   2'(z) -{ 1 }-> 2'(2'(1'(3'(0'(0'(1'(3'(0'(3'(3'(0'(3'(3'(1'(0'(1'(1'(0'(1'(x1)))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   2'(z) -{ 1 }-> 2'(2'(0'(3'(2'(0'(0'(1'(2'(1'(1'(3'(1'(3'(3'(0'(3'(3'(3'(0'(x1)))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   2'(z) -{ 1 }-> 2'(2'(0'(1'(3'(3'(1'(2'(0'(0'(0'(3'(3'(0'(1'(3'(1'(3'(0'(3'(x1)))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   2'(z) -{ 1 }-> 2'(2'(0'(0'(3'(3'(3'(1'(1'(0'(0'(3'(3'(2'(1'(1'(0'(2'(2'(3'(x1)))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   2'(z) -{ 1 }-> 2'(0'(1'(3'(2'(1'(3'(1'(3'(1'(1'(3'(3'(1'(3'(3'(0'(0'(3'(3'(x1)))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   2'(z) -{ 1 }-> 2'(0'(1'(3'(0'(2'(2'(3'(2'(0'(3'(3'(2'(0'(3'(1'(0'(3'(0'(2'(x1)))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   2'(z) -{ 1 }-> 2'(0'(0'(0'(3'(0'(3'(1'(3'(2'(0'(0'(1'(1'(3'(0'(0'(3'(2'(3'(x1)))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   2'(z) -{ 1 }-> 2'(0'(0'(0'(1'(0'(0'(3'(1'(1'(1'(3'(0'(0'(3'(0'(1'(3'(3'(2'(x1)))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   2'(z) -{ 1 }-> 1'(3'(3'(3'(0'(1'(2'(1'(1'(3'(3'(0'(3'(0'(2'(2'(2'(2'(1'(1'(x1)))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   2'(z) -{ 1 }-> 1'(3'(0'(1'(2'(0'(2'(2'(3'(1'(3'(3'(3'(3'(3'(3'(0'(3'(0'(3'(x1)))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   2'(z) -{ 1 }-> 1'(3'(0'(0'(2'(0'(0'(2'(0'(3'(2'(2'(0'(1'(3'(3'(3'(0'(0'(3'(x1)))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   2'(z) -{ 1 }-> 1'(2'(2'(0'(0'(2'(3'(3'(3'(0'(3'(0'(1'(3'(1'(3'(2'(3'(3'(3'(x1)))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   2'(z) -{ 1 }-> 1'(2'(0'(3'(3'(3'(0'(2'(2'(0'(1'(0'(0'(1'(2'(2'(1'(3'(3'(0'(x1)))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   2'(z) -{ 1 }-> 1'(1'(1'(0'(1'(1'(2'(0'(2'(1'(0'(0'(3'(3'(0'(2'(0'(3'(0'(3'(x1)))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   2'(z) -{ 1 }-> 1'(0'(3'(3'(1'(3'(0'(1'(2'(3'(0'(1'(0'(3'(3'(0'(3'(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'(0'(3'(1'(2'(3'(3'(2'(3'(3'(3'(3'(0'(1'(3'(1'(0'(3'(0'(3'(x1)))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   2'(z) -{ 1 }-> 0'(3'(3'(0'(3'(3'(2'(3'(0'(1'(0'(1'(3'(3'(3'(2'(3'(2'(1'(3'(x1)))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   2'(z) -{ 1 }-> 0'(3'(1'(3'(1'(3'(1'(3'(0'(1'(0'(0'(3'(3'(3'(2'(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))))))))))))))))))
   2'(z) -{ 1 }-> 0'(3'(1'(3'(0'(3'(3'(0'(1'(0'(0'(3'(2'(0'(0'(0'(3'(3'(2'(3'(x1)))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   2'(z) -{ 1 }-> 0'(3'(1'(3'(0'(1'(2'(0'(1'(2'(0'(3'(1'(3'(2'(1'(0'(3'(0'(0'(x1)))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   2'(z) -{ 1 }-> 0'(3'(0'(3'(2'(0'(1'(0'(1'(2'(0'(3'(3'(0'(2'(2'(3'(0'(3'(2'(x1)))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   2'(z) -{ 1 }-> 0'(3'(0'(3'(1'(3'(0'(3'(3'(1'(3'(3'(0'(3'(1'(3'(3'(0'(3'(1'(x1)))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   2'(z) -{ 1 }-> 0'(2'(0'(2'(1'(3'(3'(0'(2'(1'(0'(3'(2'(3'(0'(2'(2'(1'(3'(3'(x1)))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   2'(z) -{ 1 }-> 0'(1'(0'(0'(3'(0'(1'(0'(3'(0'(1'(1'(1'(3'(3'(3'(0'(0'(3'(3'(x1)))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   2'(z) -{ 1 }-> 0'(0'(1'(2'(1'(3'(3'(3'(0'(2'(0'(2'(1'(3'(3'(0'(3'(2'(1'(3'(x1)))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   2'(z) -{ 0 }-> 0 :|: v0 >= 0, z = v0
   2'(z) -{ 0 }-> 1 + x0 :|: z = x0, x0 >= 0
   3'(z) -{ 1 }-> 3'(3'(3'(3'(2'(3'(0'(1'(0'(0'(0'(3'(3'(1'(3'(3'(3'(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 }-> 3'(3'(3'(3'(1'(3'(3'(1'(1'(3'(1'(2'(3'(3'(3'(2'(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))))))))))))))))))
   3'(z) -{ 1 }-> 3'(3'(3'(0'(3'(3'(1'(0'(2'(3'(0'(0'(2'(2'(3'(3'(0'(3'(2'(0'(x1)))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   3'(z) -{ 1 }-> 3'(3'(3'(0'(2'(3'(3'(0'(2'(0'(3'(3'(3'(3'(1'(0'(0'(1'(3'(0'(x1)))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   3'(z) -{ 1 }-> 3'(3'(2'(3'(3'(3'(2'(3'(3'(0'(1'(1'(0'(3'(3'(3'(0'(3'(3'(0'(x1)))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   3'(z) -{ 1 }-> 3'(3'(0'(3'(0'(0'(3'(3'(3'(1'(3'(1'(1'(0'(3'(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))))))))))))))))))
   3'(z) -{ 1 }-> 3'(1'(3'(3'(1'(0'(3'(0'(3'(0'(2'(3'(3'(1'(0'(1'(0'(3'(1'(0'(x1)))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   3'(z) -{ 1 }-> 2'(3'(3'(2'(2'(2'(0'(3'(1'(2'(3'(3'(3'(3'(0'(1'(3'(2'(0'(3'(x1)))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   3'(z) -{ 1 }-> 2'(3'(0'(0'(3'(1'(2'(0'(3'(3'(0'(0'(0'(3'(3'(3'(1'(0'(2'(2'(x1)))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   3'(z) -{ 1 }-> 2'(2'(3'(1'(3'(1'(3'(3'(1'(3'(3'(0'(0'(2'(1'(2'(3'(3'(3'(2'(x1)))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   3'(z) -{ 1 }-> 1'(3'(3'(3'(3'(2'(3'(2'(2'(0'(3'(1'(0'(0'(1'(3'(0'(3'(3'(1'(x1)))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   3'(z) -{ 1 }-> 1'(3'(0'(2'(1'(3'(3'(2'(0'(2'(3'(1'(3'(0'(3'(0'(0'(2'(1'(0'(x1)))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   3'(z) -{ 1 }-> 1'(2'(1'(3'(1'(3'(3'(3'(3'(2'(1'(1'(2'(3'(0'(0'(3'(3'(0'(0'(x1)))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   3'(z) -{ 1 }-> 1'(0'(2'(1'(1'(3'(2'(1'(1'(3'(0'(3'(3'(1'(1'(3'(1'(3'(3'(3'(x1)))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   3'(z) -{ 1 }-> 1'(0'(0'(1'(3'(0'(1'(1'(2'(0'(3'(3'(3'(3'(0'(0'(3'(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'(3'(2'(2'(0'(3'(3'(3'(1'(1'(0'(0'(3'(0'(2'(2'(1'(1'(3'(3'(x1)))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   3'(z) -{ 1 }-> 0'(3'(0'(2'(2'(0'(1'(0'(1'(0'(0'(2'(2'(3'(2'(3'(0'(1'(0'(3'(x1)))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   3'(z) -{ 1 }-> 0'(3'(0'(0'(2'(3'(0'(2'(2'(1'(0'(1'(2'(0'(1'(3'(1'(3'(1'(3'(x1)))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   3'(z) -{ 1 }-> 0'(0'(3'(0'(2'(1'(3'(3'(0'(0'(3'(2'(0'(0'(3'(0'(2'(2'(0'(0'(x1)))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   3'(z) -{ 1 }-> 0'(0'(0'(0'(3'(2'(3'(1'(1'(1'(0'(1'(0'(0'(3'(3'(0'(2'(3'(1'(x1)))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   3'(z) -{ 1 }-> 0'(0'(0'(0'(1'(3'(3'(1'(1'(3'(1'(3'(0'(1'(0'(3'(3'(1'(1'(3'(x1)))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   3'(z) -{ 0 }-> 0 :|: v0 >= 0, z = v0
   3'(z) -{ 0 }-> 1 + x0 :|: z = x0, x0 >= 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

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))
   encode_0(z0) -> 0(encArg(z0))
   encode_1(z0) -> 1(encArg(z0))
   encode_2(z0) -> 2(encArg(z0))
   encode_3(z0) -> 3(encArg(z0))
   0(z0) -> c_0(z0)
   0(c_1(c_1(c_1(c_0(c_0(c_0(c_0(c_0(c_0(c_3(c_0(c_1(c_0(c_1(c_0(c_2(c_0(c_3(c_1(z0)))))))))))))))))))) -> 1(0(2(1(3(0(1(0(2(3(0(0(3(3(0(1(0(0(1(0(z0))))))))))))))))))))
   0(c_0(c_1(c_2(c_3(c_0(c_1(c_0(c_3(c_0(c_3(c_1(c_1(c_1(c_0(c_1(c_3(c_3(c_2(c_3(z0)))))))))))))))))))) -> 3(0(3(1(1(0(2(3(0(3(3(1(3(1(0(3(0(1(2(3(z0))))))))))))))))))))
   0(c_2(c_0(c_3(c_1(c_1(c_3(c_2(c_3(c_3(c_0(c_2(c_2(c_0(c_2(c_3(c_0(c_0(c_2(c_3(z0)))))))))))))))))))) -> 0(0(3(3(2(3(3(3(0(1(1(1(2(2(3(1(3(1(1(3(z0))))))))))))))))))))
   0(c_0(c_1(c_1(c_0(c_1(c_0(c_2(c_3(c_1(c_3(c_3(c_3(c_1(c_2(c_2(c_0(c_0(c_2(c_3(z0)))))))))))))))))))) -> 0(0(3(0(2(1(3(3(1(3(2(3(3(3(2(0(0(1(0(2(z0))))))))))))))))))))
   0(c_1(c_0(c_1(c_1(c_3(c_3(c_0(c_0(c_1(c_3(c_1(c_3(c_0(c_2(c_3(c_0(c_3(c_2(c_3(z0)))))))))))))))))))) -> 1(2(3(3(0(1(3(3(0(1(0(3(3(3(0(2(0(2(1(3(z0))))))))))))))))))))
   0(c_3(c_0(c_2(c_0(c_1(c_3(c_0(c_1(c_2(c_3(c_2(c_1(c_1(c_0(c_0(c_3(c_3(c_2(c_3(z0)))))))))))))))))))) -> 0(3(3(2(2(3(2(3(2(0(0(2(3(3(3(3(3(0(1(0(z0))))))))))))))))))))
   0(c_3(c_2(c_2(c_2(c_3(c_2(c_2(c_3(c_1(c_3(c_0(c_3(c_2(c_3(c_0(c_3(c_3(c_1(c_3(z0)))))))))))))))))))) -> 3(0(3(3(3(3(3(2(3(3(3(1(0(0(3(2(0(2(2(1(z0))))))))))))))))))))
   0(c_0(c_3(c_1(c_0(c_2(c_0(c_3(c_1(c_0(c_0(c_3(c_0(c_0(c_0(c_3(c_2(c_0(c_2(c_3(z0)))))))))))))))))))) -> 0(0(1(0(2(1(3(0(1(0(0(3(1(0(3(3(2(2(3(3(z0))))))))))))))))))))
   0(c_0(c_0(c_1(c_1(c_0(c_3(c_3(c_3(c_3(c_0(c_1(c_0(c_2(c_2(c_1(c_3(c_2(c_0(c_0(z0)))))))))))))))))))) -> 0(0(1(3(3(0(1(3(3(0(1(2(3(2(2(0(3(2(3(3(z0))))))))))))))))))))
   0(c_1(c_3(c_1(c_2(c_1(c_3(c_1(c_3(c_3(c_1(c_2(c_2(c_1(c_0(c_3(c_2(c_1(c_1(c_1(z0)))))))))))))))))))) -> 0(0(2(0(0(3(3(1(1(1(1(3(0(1(1(0(0(2(1(2(z0))))))))))))))))))))
   0(c_0(c_3(c_2(c_0(c_3(c_3(c_2(c_0(c_2(c_1(c_3(c_3(c_3(c_2(c_2(c_3(c_1(c_2(c_3(z0)))))))))))))))))))) -> 3(1(3(0(1(0(0(0(1(1(3(0(2(2(1(2(3(1(0(3(z0))))))))))))))))))))
   0(c_2(c_2(c_1(c_1(c_2(c_0(c_1(c_1(c_0(c_0(c_1(c_1(c_2(c_0(c_1(c_0(c_3(c_3(c_3(z0)))))))))))))))))))) -> 3(1(0(1(3(1(0(3(0(3(1(3(2(1(0(1(1(3(1(3(z0))))))))))))))))))))
   0(c_2(c_2(c_2(c_1(c_2(c_2(c_1(c_1(c_1(c_1(c_2(c_3(c_2(c_0(c_3(c_3(c_3(c_3(c_0(z0)))))))))))))))))))) -> 3(1(2(3(3(3(1(0(3(3(2(0(2(2(3(1(1(1(3(1(z0))))))))))))))))))))
   0(c_0(c_3(c_2(c_1(c_2(c_0(c_2(c_3(c_2(c_1(c_0(c_1(c_0(c_3(c_3(c_0(c_0(c_3(c_1(z0)))))))))))))))))))) -> 3(2(3(3(0(3(1(1(0(1(1(1(1(1(3(0(3(3(0(1(z0))))))))))))))))))))
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   0(c_1(c_3(c_1(c_0(c_2(c_0(c_2(c_2(c_2(c_1(c_2(c_0(c_1(c_3(c_3(c_0(c_3(c_0(c_3(z0)))))))))))))))))))) -> 3(2(1(0(3(2(3(0(0(0(1(3(0(0(3(3(3(1(3(2(z0))))))))))))))))))))
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   1(z0) -> c_1(z0)
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   1(c_3(c_1(c_3(c_1(c_3(c_3(c_1(c_3(c_2(c_3(c_0(c_3(c_2(c_2(c_3(c_0(c_3(c_0(c_3(z0)))))))))))))))))))) -> 0(3(2(3(3(3(0(0(0(1(0(3(1(2(3(2(3(0(0(3(z0))))))))))))))))))))
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   1(c_1(c_3(c_3(c_0(c_1(c_3(c_0(c_2(c_1(c_2(c_0(c_2(c_1(c_1(c_1(c_0(c_2(c_2(c_3(z0)))))))))))))))))))) -> 1(3(3(3(2(1(3(3(0(2(0(3(1(2(0(3(0(3(2(0(z0))))))))))))))))))))
   1(c_1(c_0(c_1(c_1(c_3(c_2(c_0(c_3(c_0(c_2(c_3(c_0(c_0(c_0(c_0(c_2(c_0(c_2(c_3(z0)))))))))))))))))))) -> 1(2(3(0(3(0(2(1(0(2(0(3(1(3(0(3(3(2(2(3(z0))))))))))))))))))))
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   1(c_1(c_1(c_3(c_0(c_1(c_0(c_1(c_2(c_2(c_1(c_0(c_2(c_2(c_2(c_3(c_1(c_0(c_3(c_3(z0)))))))))))))))))))) -> 2(2(0(0(3(3(1(2(1(3(3(0(2(3(2(2(1(2(3(3(z0))))))))))))))))))))
   1(c_0(c_0(c_0(c_3(c_3(c_3(c_1(c_1(c_3(c_2(c_0(c_3(c_1(c_2(c_0(c_1(c_1(c_2(c_3(z0)))))))))))))))))))) -> 3(1(3(1(3(3(3(2(2(0(0(3(0(1(3(0(0(2(0(0(z0))))))))))))))))))))
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   1(c_1(c_0(c_1(c_0(c_1(c_2(c_0(c_3(c_0(c_2(c_2(c_3(c_3(c_0(c_2(c_2(c_3(c_1(c_3(z0)))))))))))))))))))) -> 1(1(1(0(2(3(3(0(3(1(3(0(2(1(1(0(3(2(3(3(z0))))))))))))))))))))
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   2(z0) -> c_2(z0)
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   2(c_1(c_0(c_1(c_1(c_3(c_1(c_3(c_0(c_1(c_3(c_2(c_0(c_3(c_1(c_0(c_0(c_0(c_1(c_3(z0)))))))))))))))))))) -> 0(0(1(2(1(3(3(3(0(2(0(2(1(3(3(0(3(2(1(3(z0))))))))))))))))))))
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   2(c_0(c_0(c_3(c_3(c_1(c_2(c_3(c_2(c_2(c_3(c_3(c_2(c_1(c_1(c_2(c_0(c_1(c_3(c_3(z0)))))))))))))))))))) -> 2(2(3(3(0(1(0(3(0(0(0(1(1(3(1(0(2(2(0(3(z0))))))))))))))))))))
   2(c_2(c_3(c_2(c_2(c_2(c_3(c_3(c_0(c_0(c_0(c_1(c_0(c_3(c_0(c_3(c_0(c_1(c_0(c_1(z0)))))))))))))))))))) -> 2(2(2(3(2(1(3(0(3(3(3(0(2(3(3(1(2(0(3(3(z0))))))))))))))))))))
   2(c_3(c_2(c_3(c_1(c_0(c_0(c_1(c_0(c_2(c_0(c_0(c_1(c_3(c_3(c_1(c_0(c_0(c_0(c_0(z0)))))))))))))))))))) -> 1(2(0(3(3(3(0(2(2(0(1(0(0(1(2(2(1(3(3(0(z0))))))))))))))))))))
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   2(c_1(c_0(c_1(c_3(c_3(c_1(c_0(c_2(c_3(c_0(c_0(c_0(c_2(c_3(c_1(c_0(c_0(c_3(c_3(z0)))))))))))))))))))) -> 2(0(1(3(2(1(3(1(3(1(1(3(3(1(3(3(0(0(3(3(z0))))))))))))))))))))
   2(c_1(c_1(c_3(c_3(c_1(c_0(c_2(c_2(c_2(c_2(c_2(c_3(c_0(c_1(c_0(c_2(c_2(c_3(c_3(z0)))))))))))))))))))) -> 0(3(0(3(1(3(0(3(3(1(3(3(0(3(1(3(3(0(3(1(z0))))))))))))))))))))
   2(c_2(c_3(c_3(c_2(c_2(c_2(c_2(c_3(c_0(c_2(c_3(c_0(c_2(c_0(c_1(c_1(c_3(c_3(c_1(z0)))))))))))))))))))) -> 2(2(2(0(0(1(0(0(1(3(3(3(3(3(2(1(0(0(0(3(z0))))))))))))))))))))
   2(c_1(c_3(c_3(c_1(c_1(c_3(c_2(c_1(c_3(c_3(c_1(c_1(c_0(c_2(c_2(c_3(c_0(c_0(c_0(z0)))))))))))))))))))) -> 2(0(0(0(1(0(0(3(1(1(1(3(0(0(3(0(1(3(3(2(z0))))))))))))))))))))
   2(c_1(c_1(c_0(c_3(c_0(c_1(c_2(c_3(c_3(c_1(c_1(c_1(c_3(c_0(c_0(c_3(c_1(c_3(c_0(z0)))))))))))))))))))) -> 2(2(0(3(2(0(0(1(2(1(1(3(1(3(3(0(3(3(3(0(z0))))))))))))))))))))
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   2(c_0(c_3(c_1(c_3(c_3(c_3(c_1(c_2(c_3(c_0(c_1(c_2(c_2(c_3(c_2(c_1(c_0(c_3(c_1(z0)))))))))))))))))))) -> 1(0(3(3(1(3(0(1(2(3(0(1(0(3(3(0(3(2(1(1(z0))))))))))))))))))))
   2(c_3(c_0(c_3(c_3(c_2(c_3(c_0(c_1(c_3(c_2(c_2(c_3(c_3(c_0(c_2(c_2(c_0(c_1(c_2(z0)))))))))))))))))))) -> 2(0(1(3(0(2(2(3(2(0(3(3(2(0(3(1(0(3(0(2(z0))))))))))))))))))))
   2(c_3(c_2(c_2(c_0(c_3(c_3(c_1(c_1(c_1(c_3(c_0(c_0(c_1(c_0(c_0(c_2(c_3(c_0(c_3(z0)))))))))))))))))))) -> 2(3(1(1(0(3(2(2(1(3(0(3(3(2(0(0(1(1(3(3(z0))))))))))))))))))))
   2(c_0(c_1(c_0(c_2(c_2(c_0(c_3(c_0(c_2(c_2(c_3(c_3(c_2(c_1(c_3(c_0(c_2(c_3(c_1(z0)))))))))))))))))))) -> 2(3(3(0(3(0(0(2(3(3(1(1(3(3(0(1(2(3(2(0(z0))))))))))))))))))))
   2(c_0(c_0(c_2(c_1(c_2(c_1(c_1(c_3(c_0(c_2(c_3(c_2(c_1(c_3(c_3(c_1(c_3(c_2(c_3(z0)))))))))))))))))))) -> 2(2(3(1(1(0(1(0(1(1(0(1(0(3(3(1(3(3(3(1(z0))))))))))))))))))))
   2(c_1(c_1(c_1(c_0(c_1(c_3(c_1(c_0(c_3(c_2(c_3(c_0(c_0(c_0(c_3(c_1(c_1(c_0(c_3(z0)))))))))))))))))))) -> 1(1(1(0(1(1(2(0(2(1(0(0(3(3(0(2(0(3(0(3(z0))))))))))))))))))))
   2(c_1(c_3(c_1(c_3(c_3(c_1(c_1(c_1(c_1(c_1(c_1(c_0(c_2(c_3(c_2(c_3(c_0(c_0(c_3(z0)))))))))))))))))))) -> 1(3(0(0(2(0(0(2(0(3(2(2(0(1(3(3(3(0(0(3(z0))))))))))))))))))))
   2(c_1(c_0(c_3(c_0(c_2(c_0(c_2(c_1(c_3(c_3(c_3(c_1(c_1(c_1(c_0(c_0(c_3(c_3(c_2(z0)))))))))))))))))))) -> 2(2(1(3(0(0(1(3(0(3(3(0(3(3(1(0(1(1(0(1(z0))))))))))))))))))))
   2(c_3(c_1(c_2(c_0(c_3(c_2(c_0(c_2(c_3(c_3(c_0(c_2(c_0(c_0(c_1(c_0(c_1(c_0(c_3(z0)))))))))))))))))))) -> 0(3(1(3(0(3(3(0(1(0(0(3(2(0(0(0(3(3(2(3(z0))))))))))))))))))))
   2(c_2(c_3(c_2(c_0(c_0(c_3(c_0(c_3(c_3(c_2(c_2(c_2(c_0(c_2(c_3(c_3(c_3(c_3(c_2(z0)))))))))))))))))))) -> 1(0(3(1(2(3(3(2(3(3(3(3(0(1(3(1(0(3(0(3(z0))))))))))))))))))))
   2(c_2(c_3(c_3(c_0(c_2(c_2(c_0(c_1(c_3(c_1(c_3(c_3(c_0(c_3(c_2(c_2(c_2(c_1(c_2(z0)))))))))))))))))))) -> 2(0(0(0(3(0(3(1(3(2(0(0(1(1(3(0(0(3(2(3(z0))))))))))))))))))))
   3(z0) -> c_3(z0)
   3(c_3(c_0(c_2(c_2(c_3(c_3(c_1(c_2(c_2(c_0(c_0(c_3(c_2(c_0(c_2(c_1(c_0(c_3(c_3(z0)))))))))))))))))))) -> 1(0(2(1(1(3(2(1(1(3(0(3(3(1(1(3(1(3(3(3(z0))))))))))))))))))))
   3(c_3(c_1(c_0(c_3(c_1(c_0(c_3(c_1(c_1(c_3(c_3(c_1(c_3(c_0(c_2(c_2(c_3(c_1(c_1(z0)))))))))))))))))))) -> 0(0(3(0(2(1(3(3(0(0(3(2(0(0(3(0(2(2(0(0(z0))))))))))))))))))))
   3(c_3(c_2(c_1(c_3(c_1(c_3(c_0(c_2(c_0(c_3(c_1(c_2(c_1(c_3(c_2(c_1(c_3(c_2(c_3(z0)))))))))))))))))))) -> 2(3(3(2(2(2(0(3(1(2(3(3(3(3(0(1(3(2(0(3(z0))))))))))))))))))))
   3(c_0(c_1(c_0(c_1(c_2(c_3(c_2(c_1(c_1(c_0(c_1(c_1(c_3(c_0(c_3(c_3(c_2(c_1(c_3(z0)))))))))))))))))))) -> 0(3(0(0(2(3(0(2(2(1(0(1(2(0(1(3(1(3(1(3(z0))))))))))))))))))))
   3(c_3(c_0(c_3(c_3(c_0(c_1(c_2(c_1(c_1(c_0(c_3(c_3(c_0(c_2(c_0(c_0(c_2(c_2(c_1(z0)))))))))))))))))))) -> 3(3(3(3(1(3(3(1(1(3(1(2(3(3(3(2(2(0(2(1(z0))))))))))))))))))))
   3(c_0(c_3(c_3(c_3(c_3(c_1(c_3(c_2(c_0(c_1(c_0(c_1(c_0(c_3(c_3(c_0(c_0(c_1(c_1(z0)))))))))))))))))))) -> 3(3(2(3(3(3(2(3(3(0(1(1(0(3(3(3(0(3(3(0(z0))))))))))))))))))))
   3(c_1(c_0(c_1(c_1(c_1(c_3(c_1(c_0(c_0(c_0(c_2(c_1(c_0(c_1(c_2(c_0(c_0(c_0(c_3(z0)))))))))))))))))))) -> 0(3(0(2(2(0(1(0(1(0(0(2(2(3(2(3(0(1(0(3(z0))))))))))))))))))))
   3(c_3(c_0(c_2(c_3(c_3(c_0(c_1(c_3(c_0(c_0(c_1(c_2(c_2(c_2(c_2(c_3(c_3(c_2(c_1(z0)))))))))))))))))))) -> 3(1(3(3(1(0(3(0(3(0(2(3(3(1(0(1(0(3(1(0(z0))))))))))))))))))))
   3(c_1(c_2(c_3(c_2(c_2(c_2(c_3(c_3(c_0(c_1(c_3(c_0(c_1(c_1(c_1(c_0(c_0(c_0(c_3(z0)))))))))))))))))))) -> 1(2(1(3(1(3(3(3(3(2(1(1(2(3(0(0(3(3(0(0(z0))))))))))))))))))))
   3(c_1(c_1(c_3(c_2(c_3(c_3(c_3(c_1(c_0(c_1(c_2(c_0(c_3(c_0(c_0(c_0(c_1(c_2(c_3(z0)))))))))))))))))))) -> 3(3(3(0(3(3(1(0(2(3(0(0(2(2(3(3(0(3(2(0(z0))))))))))))))))))))
   3(c_0(c_2(c_1(c_2(c_1(c_3(c_1(c_3(c_0(c_3(c_1(c_3(c_0(c_2(c_0(c_2(c_0(c_3(c_2(z0)))))))))))))))))))) -> 2(2(3(1(3(1(3(3(1(3(3(0(0(2(1(2(3(3(3(2(z0))))))))))))))))))))
   3(c_0(c_2(c_2(c_1(c_1(c_0(c_1(c_1(c_1(c_3(c_0(c_3(c_1(c_3(c_2(c_1(c_3(c_3(c_0(z0)))))))))))))))))))) -> 0(0(0(0(1(3(3(1(1(3(1(3(0(1(0(3(3(1(1(3(z0))))))))))))))))))))
   3(c_1(c_3(c_0(c_2(c_1(c_1(c_2(c_0(c_3(c_2(c_2(c_1(c_3(c_1(c_1(c_2(c_2(c_3(c_3(z0)))))))))))))))))))) -> 1(0(0(1(3(0(1(1(2(0(3(3(3(3(0(0(3(0(3(2(z0))))))))))))))))))))
   3(c_0(c_2(c_0(c_2(c_0(c_1(c_1(c_3(c_0(c_0(c_3(c_0(c_0(c_2(c_0(c_0(c_3(c_2(c_3(z0)))))))))))))))))))) -> 0(3(2(2(0(3(3(3(1(1(0(0(3(0(2(2(1(1(3(3(z0))))))))))))))))))))
   3(c_0(c_0(c_1(c_1(c_1(c_3(c_3(c_3(c_0(c_2(c_2(c_1(c_3(c_1(c_2(c_3(c_1(c_1(c_0(z0)))))))))))))))))))) -> 1(3(0(2(1(3(3(2(0(2(3(1(3(0(3(0(0(2(1(0(z0))))))))))))))))))))
   3(c_0(c_3(c_2(c_1(c_3(c_0(c_3(c_3(c_0(c_3(c_3(c_0(c_3(c_0(c_3(c_1(c_0(c_0(c_1(z0)))))))))))))))))))) -> 3(3(3(3(2(3(0(1(0(0(0(3(3(1(3(3(3(1(1(2(z0))))))))))))))))))))
   3(c_3(c_1(c_0(c_1(c_3(c_0(c_0(c_3(c_1(c_2(c_1(c_0(c_0(c_3(c_0(c_1(c_0(c_3(c_1(z0)))))))))))))))))))) -> 1(3(3(3(3(2(3(2(2(0(3(1(0(0(1(3(0(3(3(1(z0))))))))))))))))))))
   3(c_3(c_3(c_3(c_1(c_1(c_3(c_2(c_3(c_0(c_3(c_3(c_0(c_3(c_2(c_1(c_0(c_0(c_2(c_2(z0)))))))))))))))))))) -> 3(3(0(3(0(0(3(3(3(1(3(1(1(0(3(0(2(0(1(2(z0))))))))))))))))))))
   3(c_2(c_3(c_0(c_1(c_3(c_2(c_2(c_0(c_1(c_1(c_3(c_3(c_3(c_1(c_2(c_3(c_1(c_1(c_0(z0)))))))))))))))))))) -> 0(0(0(0(3(2(3(1(1(1(0(1(0(0(3(3(0(2(3(1(z0))))))))))))))))))))
   3(c_0(c_3(c_2(c_2(c_2(c_3(c_1(c_3(c_0(c_2(c_1(c_0(c_1(c_0(c_2(c_2(c_3(c_3(c_1(z0)))))))))))))))))))) -> 2(3(0(0(3(1(2(0(3(3(0(0(0(3(3(3(1(0(2(2(z0))))))))))))))))))))
   3(c_2(c_0(c_3(c_3(c_1(c_3(c_2(c_3(c_0(c_3(c_2(c_3(c_1(c_3(c_0(c_2(c_1(c_3(c_0(z0)))))))))))))))))))) -> 3(3(3(0(2(3(3(0(2(0(3(3(3(3(1(0(0(1(3(0(z0))))))))))))))))))))
Tuples:
   ENCARG(cons_0(z0)) -> c(0'(encArg(z0)), ENCARG(z0))
   ENCARG(cons_1(z0)) -> c1(1'(encArg(z0)), ENCARG(z0))
   ENCARG(cons_2(z0)) -> c2(2'(encArg(z0)), ENCARG(z0))
   ENCARG(cons_3(z0)) -> c3(3'(encArg(z0)), ENCARG(z0))
   ENCODE_0(z0) -> c4(0'(encArg(z0)), ENCARG(z0))
   ENCODE_1(z0) -> c5(1'(encArg(z0)), ENCARG(z0))
   ENCODE_2(z0) -> c6(2'(encArg(z0)), ENCARG(z0))
   ENCODE_3(z0) -> c7(3'(encArg(z0)), ENCARG(z0))
   0'(z0) -> c8
   0'(c_1(c_1(c_1(c_0(c_0(c_0(c_0(c_0(c_0(c_3(c_0(c_1(c_0(c_1(c_0(c_2(c_0(c_3(c_1(z0)))))))))))))))))))) -> c9(1'(0(2(1(3(0(1(0(2(3(0(0(3(3(0(1(0(0(1(0(z0)))))))))))))))))))), 0'(2(1(3(0(1(0(2(3(0(0(3(3(0(1(0(0(1(0(z0))))))))))))))))))), 2'(1(3(0(1(0(2(3(0(0(3(3(0(1(0(0(1(0(z0)))))))))))))))))), 1'(3(0(1(0(2(3(0(0(3(3(0(1(0(0(1(0(z0))))))))))))))))), 3'(0(1(0(2(3(0(0(3(3(0(1(0(0(1(0(z0)))))))))))))))), 0'(1(0(2(3(0(0(3(3(0(1(0(0(1(0(z0))))))))))))))), 1'(0(2(3(0(0(3(3(0(1(0(0(1(0(z0)))))))))))))), 0'(2(3(0(0(3(3(0(1(0(0(1(0(z0))))))))))))), 2'(3(0(0(3(3(0(1(0(0(1(0(z0)))))))))))), 3'(0(0(3(3(0(1(0(0(1(0(z0))))))))))), 0'(0(3(3(0(1(0(0(1(0(z0)))))))))), 0'(3(3(0(1(0(0(1(0(z0))))))))), 3'(3(0(1(0(0(1(0(z0)))))))), 3'(0(1(0(0(1(0(z0))))))), 0'(1(0(0(1(0(z0)))))), 1'(0(0(1(0(z0))))), 0'(0(1(0(z0)))), 0'(1(0(z0))), 1'(0(z0)), 0'(z0))
   0'(c_0(c_1(c_2(c_3(c_0(c_1(c_0(c_3(c_0(c_3(c_1(c_1(c_1(c_0(c_1(c_3(c_3(c_2(c_3(z0)))))))))))))))))))) -> c10(3'(0(3(1(1(0(2(3(0(3(3(1(3(1(0(3(0(1(2(3(z0)))))))))))))))))))), 0'(3(1(1(0(2(3(0(3(3(1(3(1(0(3(0(1(2(3(z0))))))))))))))))))), 3'(1(1(0(2(3(0(3(3(1(3(1(0(3(0(1(2(3(z0)))))))))))))))))), 1'(1(0(2(3(0(3(3(1(3(1(0(3(0(1(2(3(z0))))))))))))))))), 1'(0(2(3(0(3(3(1(3(1(0(3(0(1(2(3(z0)))))))))))))))), 0'(2(3(0(3(3(1(3(1(0(3(0(1(2(3(z0))))))))))))))), 2'(3(0(3(3(1(3(1(0(3(0(1(2(3(z0)))))))))))))), 3'(0(3(3(1(3(1(0(3(0(1(2(3(z0))))))))))))), 0'(3(3(1(3(1(0(3(0(1(2(3(z0)))))))))))), 3'(3(1(3(1(0(3(0(1(2(3(z0))))))))))), 3'(1(3(1(0(3(0(1(2(3(z0)))))))))), 1'(3(1(0(3(0(1(2(3(z0))))))))), 3'(1(0(3(0(1(2(3(z0)))))))), 1'(0(3(0(1(2(3(z0))))))), 0'(3(0(1(2(3(z0)))))), 3'(0(1(2(3(z0))))), 0'(1(2(3(z0)))), 1'(2(3(z0))), 2'(3(z0)), 3'(z0))
   0'(c_2(c_0(c_3(c_1(c_1(c_3(c_2(c_3(c_3(c_0(c_2(c_2(c_0(c_2(c_3(c_0(c_0(c_2(c_3(z0)))))))))))))))))))) -> c11(0'(0(3(3(2(3(3(3(0(1(1(1(2(2(3(1(3(1(1(3(z0)))))))))))))))))))), 0'(3(3(2(3(3(3(0(1(1(1(2(2(3(1(3(1(1(3(z0))))))))))))))))))), 3'(3(2(3(3(3(0(1(1(1(2(2(3(1(3(1(1(3(z0)))))))))))))))))), 3'(2(3(3(3(0(1(1(1(2(2(3(1(3(1(1(3(z0))))))))))))))))), 2'(3(3(3(0(1(1(1(2(2(3(1(3(1(1(3(z0)))))))))))))))), 3'(3(3(0(1(1(1(2(2(3(1(3(1(1(3(z0))))))))))))))), 3'(3(0(1(1(1(2(2(3(1(3(1(1(3(z0)))))))))))))), 3'(0(1(1(1(2(2(3(1(3(1(1(3(z0))))))))))))), 0'(1(1(1(2(2(3(1(3(1(1(3(z0)))))))))))), 1'(1(1(2(2(3(1(3(1(1(3(z0))))))))))), 1'(1(2(2(3(1(3(1(1(3(z0)))))))))), 1'(2(2(3(1(3(1(1(3(z0))))))))), 2'(2(3(1(3(1(1(3(z0)))))))), 2'(3(1(3(1(1(3(z0))))))), 3'(1(3(1(1(3(z0)))))), 1'(3(1(1(3(z0))))), 3'(1(1(3(z0)))), 1'(1(3(z0))), 1'(3(z0)), 3'(z0))
   0'(c_0(c_1(c_1(c_0(c_1(c_0(c_2(c_3(c_1(c_3(c_3(c_3(c_1(c_2(c_2(c_0(c_0(c_2(c_3(z0)))))))))))))))))))) -> c12(0'(0(3(0(2(1(3(3(1(3(2(3(3(3(2(0(0(1(0(2(z0)))))))))))))))))))), 0'(3(0(2(1(3(3(1(3(2(3(3(3(2(0(0(1(0(2(z0))))))))))))))))))), 3'(0(2(1(3(3(1(3(2(3(3(3(2(0(0(1(0(2(z0)))))))))))))))))), 0'(2(1(3(3(1(3(2(3(3(3(2(0(0(1(0(2(z0))))))))))))))))), 2'(1(3(3(1(3(2(3(3(3(2(0(0(1(0(2(z0)))))))))))))))), 1'(3(3(1(3(2(3(3(3(2(0(0(1(0(2(z0))))))))))))))), 3'(3(1(3(2(3(3(3(2(0(0(1(0(2(z0)))))))))))))), 3'(1(3(2(3(3(3(2(0(0(1(0(2(z0))))))))))))), 1'(3(2(3(3(3(2(0(0(1(0(2(z0)))))))))))), 3'(2(3(3(3(2(0(0(1(0(2(z0))))))))))), 2'(3(3(3(2(0(0(1(0(2(z0)))))))))), 3'(3(3(2(0(0(1(0(2(z0))))))))), 3'(3(2(0(0(1(0(2(z0)))))))), 3'(2(0(0(1(0(2(z0))))))), 2'(0(0(1(0(2(z0)))))), 0'(0(1(0(2(z0))))), 0'(1(0(2(z0)))), 1'(0(2(z0))), 0'(2(z0)), 2'(z0))
   0'(c_1(c_0(c_1(c_1(c_3(c_3(c_0(c_0(c_1(c_3(c_1(c_3(c_0(c_2(c_3(c_0(c_3(c_2(c_3(z0)))))))))))))))))))) -> c13(1'(2(3(3(0(1(3(3(0(1(0(3(3(3(0(2(0(2(1(3(z0)))))))))))))))))))), 2'(3(3(0(1(3(3(0(1(0(3(3(3(0(2(0(2(1(3(z0))))))))))))))))))), 3'(3(0(1(3(3(0(1(0(3(3(3(0(2(0(2(1(3(z0)))))))))))))))))), 3'(0(1(3(3(0(1(0(3(3(3(0(2(0(2(1(3(z0))))))))))))))))), 0'(1(3(3(0(1(0(3(3(3(0(2(0(2(1(3(z0)))))))))))))))), 1'(3(3(0(1(0(3(3(3(0(2(0(2(1(3(z0))))))))))))))), 3'(3(0(1(0(3(3(3(0(2(0(2(1(3(z0)))))))))))))), 3'(0(1(0(3(3(3(0(2(0(2(1(3(z0))))))))))))), 0'(1(0(3(3(3(0(2(0(2(1(3(z0)))))))))))), 1'(0(3(3(3(0(2(0(2(1(3(z0))))))))))), 0'(3(3(3(0(2(0(2(1(3(z0)))))))))), 3'(3(3(0(2(0(2(1(3(z0))))))))), 3'(3(0(2(0(2(1(3(z0)))))))), 3'(0(2(0(2(1(3(z0))))))), 0'(2(0(2(1(3(z0)))))), 2'(0(2(1(3(z0))))), 0'(2(1(3(z0)))), 2'(1(3(z0))), 1'(3(z0)), 3'(z0))
   0'(c_3(c_0(c_2(c_0(c_1(c_3(c_0(c_1(c_2(c_3(c_2(c_1(c_1(c_0(c_0(c_3(c_3(c_2(c_3(z0)))))))))))))))))))) -> c14(0'(3(3(2(2(3(2(3(2(0(0(2(3(3(3(3(3(0(1(0(z0)))))))))))))))))))), 3'(3(2(2(3(2(3(2(0(0(2(3(3(3(3(3(0(1(0(z0))))))))))))))))))), 3'(2(2(3(2(3(2(0(0(2(3(3(3(3(3(0(1(0(z0)))))))))))))))))), 2'(2(3(2(3(2(0(0(2(3(3(3(3(3(0(1(0(z0))))))))))))))))), 2'(3(2(3(2(0(0(2(3(3(3(3(3(0(1(0(z0)))))))))))))))), 3'(2(3(2(0(0(2(3(3(3(3(3(0(1(0(z0))))))))))))))), 2'(3(2(0(0(2(3(3(3(3(3(0(1(0(z0)))))))))))))), 3'(2(0(0(2(3(3(3(3(3(0(1(0(z0))))))))))))), 2'(0(0(2(3(3(3(3(3(0(1(0(z0)))))))))))), 0'(0(2(3(3(3(3(3(0(1(0(z0))))))))))), 0'(2(3(3(3(3(3(0(1(0(z0)))))))))), 2'(3(3(3(3(3(0(1(0(z0))))))))), 3'(3(3(3(3(0(1(0(z0)))))))), 3'(3(3(3(0(1(0(z0))))))), 3'(3(3(0(1(0(z0)))))), 3'(3(0(1(0(z0))))), 3'(0(1(0(z0)))), 0'(1(0(z0))), 1'(0(z0)), 0'(z0))
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   0'(c_3(c_1(c_0(c_0(c_3(c_1(c_2(c_2(c_1(c_0(c_0(c_0(c_3(c_0(c_1(c_2(c_0(c_3(c_3(z0)))))))))))))))))))) -> c30(0'(2(3(2(3(3(1(0(0(0(3(1(1(0(2(0(0(0(3(3(z0)))))))))))))))))))), 2'(3(2(3(3(1(0(0(0(3(1(1(0(2(0(0(0(3(3(z0))))))))))))))))))), 3'(2(3(3(1(0(0(0(3(1(1(0(2(0(0(0(3(3(z0)))))))))))))))))), 2'(3(3(1(0(0(0(3(1(1(0(2(0(0(0(3(3(z0))))))))))))))))), 3'(3(1(0(0(0(3(1(1(0(2(0(0(0(3(3(z0)))))))))))))))), 3'(1(0(0(0(3(1(1(0(2(0(0(0(3(3(z0))))))))))))))), 1'(0(0(0(3(1(1(0(2(0(0(0(3(3(z0)))))))))))))), 0'(0(0(3(1(1(0(2(0(0(0(3(3(z0))))))))))))), 0'(0(3(1(1(0(2(0(0(0(3(3(z0)))))))))))), 0'(3(1(1(0(2(0(0(0(3(3(z0))))))))))), 3'(1(1(0(2(0(0(0(3(3(z0)))))))))), 1'(1(0(2(0(0(0(3(3(z0))))))))), 1'(0(2(0(0(0(3(3(z0)))))))), 0'(2(0(0(0(3(3(z0))))))), 2'(0(0(0(3(3(z0)))))), 0'(0(0(3(3(z0))))), 0'(0(3(3(z0)))), 0'(3(3(z0))), 3'(3(z0)), 3'(z0))
   0'(c_0(c_0(c_3(c_1(c_3(c_2(c_1(c_3(c_3(c_3(c_2(c_2(c_3(c_1(c_3(c_0(c_3(c_2(c_3(z0)))))))))))))))))))) -> c31(0'(3(3(2(0(1(2(3(0(0(2(2(1(3(3(3(2(3(3(3(z0)))))))))))))))))))), 3'(3(2(0(1(2(3(0(0(2(2(1(3(3(3(2(3(3(3(z0))))))))))))))))))), 3'(2(0(1(2(3(0(0(2(2(1(3(3(3(2(3(3(3(z0)))))))))))))))))), 2'(0(1(2(3(0(0(2(2(1(3(3(3(2(3(3(3(z0))))))))))))))))), 0'(1(2(3(0(0(2(2(1(3(3(3(2(3(3(3(z0)))))))))))))))), 1'(2(3(0(0(2(2(1(3(3(3(2(3(3(3(z0))))))))))))))), 2'(3(0(0(2(2(1(3(3(3(2(3(3(3(z0)))))))))))))), 3'(0(0(2(2(1(3(3(3(2(3(3(3(z0))))))))))))), 0'(0(2(2(1(3(3(3(2(3(3(3(z0)))))))))))), 0'(2(2(1(3(3(3(2(3(3(3(z0))))))))))), 2'(2(1(3(3(3(2(3(3(3(z0)))))))))), 2'(1(3(3(3(2(3(3(3(z0))))))))), 1'(3(3(3(2(3(3(3(z0)))))))), 3'(3(3(2(3(3(3(z0))))))), 3'(3(2(3(3(3(z0)))))), 3'(2(3(3(3(z0))))), 2'(3(3(3(z0)))), 3'(3(3(z0))), 3'(3(z0)), 3'(z0))
   0'(c_0(c_2(c_0(c_2(c_3(c_0(c_0(c_1(c_1(c_3(c_1(c_3(c_0(c_0(c_3(c_0(c_3(c_0(c_1(z0)))))))))))))))))))) -> c32(1'(3(0(1(3(0(3(0(3(0(1(0(2(3(0(2(0(0(0(2(z0)))))))))))))))))))), 3'(0(1(3(0(3(0(3(0(1(0(2(3(0(2(0(0(0(2(z0))))))))))))))))))), 0'(1(3(0(3(0(3(0(1(0(2(3(0(2(0(0(0(2(z0)))))))))))))))))), 1'(3(0(3(0(3(0(1(0(2(3(0(2(0(0(0(2(z0))))))))))))))))), 3'(0(3(0(3(0(1(0(2(3(0(2(0(0(0(2(z0)))))))))))))))), 0'(3(0(3(0(1(0(2(3(0(2(0(0(0(2(z0))))))))))))))), 3'(0(3(0(1(0(2(3(0(2(0(0(0(2(z0)))))))))))))), 0'(3(0(1(0(2(3(0(2(0(0(0(2(z0))))))))))))), 3'(0(1(0(2(3(0(2(0(0(0(2(z0)))))))))))), 0'(1(0(2(3(0(2(0(0(0(2(z0))))))))))), 1'(0(2(3(0(2(0(0(0(2(z0)))))))))), 0'(2(3(0(2(0(0(0(2(z0))))))))), 2'(3(0(2(0(0(0(2(z0)))))))), 3'(0(2(0(0(0(2(z0))))))), 0'(2(0(0(0(2(z0)))))), 2'(0(0(0(2(z0))))), 0'(0(0(2(z0)))), 0'(0(2(z0))), 0'(2(z0)), 2'(z0))
   0'(c_1(c_3(c_1(c_0(c_2(c_0(c_2(c_2(c_2(c_1(c_2(c_0(c_1(c_3(c_3(c_0(c_3(c_0(c_3(z0)))))))))))))))))))) -> c33(3'(2(1(0(3(2(3(0(0(0(1(3(0(0(3(3(3(1(3(2(z0)))))))))))))))))))), 2'(1(0(3(2(3(0(0(0(1(3(0(0(3(3(3(1(3(2(z0))))))))))))))))))), 1'(0(3(2(3(0(0(0(1(3(0(0(3(3(3(1(3(2(z0)))))))))))))))))), 0'(3(2(3(0(0(0(1(3(0(0(3(3(3(1(3(2(z0))))))))))))))))), 3'(2(3(0(0(0(1(3(0(0(3(3(3(1(3(2(z0)))))))))))))))), 2'(3(0(0(0(1(3(0(0(3(3(3(1(3(2(z0))))))))))))))), 3'(0(0(0(1(3(0(0(3(3(3(1(3(2(z0)))))))))))))), 0'(0(0(1(3(0(0(3(3(3(1(3(2(z0))))))))))))), 0'(0(1(3(0(0(3(3(3(1(3(2(z0)))))))))))), 0'(1(3(0(0(3(3(3(1(3(2(z0))))))))))), 1'(3(0(0(3(3(3(1(3(2(z0)))))))))), 3'(0(0(3(3(3(1(3(2(z0))))))))), 0'(0(3(3(3(1(3(2(z0)))))))), 0'(3(3(3(1(3(2(z0))))))), 3'(3(3(1(3(2(z0)))))), 3'(3(1(3(2(z0))))), 3'(1(3(2(z0)))), 1'(3(2(z0))), 3'(2(z0)), 2'(z0))
   0'(c_2(c_2(c_2(c_1(c_3(c_2(c_1(c_2(c_1(c_3(c_0(c_2(c_3(c_2(c_1(c_0(c_0(c_1(c_3(z0)))))))))))))))))))) -> c34(0'(1(0(2(0(0(0(0(0(3(0(0(0(2(3(2(2(3(3(0(z0)))))))))))))))))))), 1'(0(2(0(0(0(0(0(3(0(0(0(2(3(2(2(3(3(0(z0))))))))))))))))))), 0'(2(0(0(0(0(0(3(0(0(0(2(3(2(2(3(3(0(z0)))))))))))))))))), 2'(0(0(0(0(0(3(0(0(0(2(3(2(2(3(3(0(z0))))))))))))))))), 0'(0(0(0(0(3(0(0(0(2(3(2(2(3(3(0(z0)))))))))))))))), 0'(0(0(0(3(0(0(0(2(3(2(2(3(3(0(z0))))))))))))))), 0'(0(0(3(0(0(0(2(3(2(2(3(3(0(z0)))))))))))))), 0'(0(3(0(0(0(2(3(2(2(3(3(0(z0))))))))))))), 0'(3(0(0(0(2(3(2(2(3(3(0(z0)))))))))))), 3'(0(0(0(2(3(2(2(3(3(0(z0))))))))))), 0'(0(0(2(3(2(2(3(3(0(z0)))))))))), 0'(0(2(3(2(2(3(3(0(z0))))))))), 0'(2(3(2(2(3(3(0(z0)))))))), 2'(3(2(2(3(3(0(z0))))))), 3'(2(2(3(3(0(z0)))))), 2'(2(3(3(0(z0))))), 2'(3(3(0(z0)))), 3'(3(0(z0))), 3'(0(z0)), 0'(z0))
   0'(c_2(c_1(c_3(c_2(c_0(c_2(c_1(c_0(c_1(c_0(c_3(c_0(c_1(c_1(c_1(c_3(c_3(c_3(c_0(z0)))))))))))))))))))) -> c35(3'(0(2(1(3(3(3(3(1(3(2(2(1(0(0(0(3(0(1(1(z0)))))))))))))))))))), 0'(2(1(3(3(3(3(1(3(2(2(1(0(0(0(3(0(1(1(z0))))))))))))))))))), 2'(1(3(3(3(3(1(3(2(2(1(0(0(0(3(0(1(1(z0)))))))))))))))))), 1'(3(3(3(3(1(3(2(2(1(0(0(0(3(0(1(1(z0))))))))))))))))), 3'(3(3(3(1(3(2(2(1(0(0(0(3(0(1(1(z0)))))))))))))))), 3'(3(3(1(3(2(2(1(0(0(0(3(0(1(1(z0))))))))))))))), 3'(3(1(3(2(2(1(0(0(0(3(0(1(1(z0)))))))))))))), 3'(1(3(2(2(1(0(0(0(3(0(1(1(z0))))))))))))), 1'(3(2(2(1(0(0(0(3(0(1(1(z0)))))))))))), 3'(2(2(1(0(0(0(3(0(1(1(z0))))))))))), 2'(2(1(0(0(0(3(0(1(1(z0)))))))))), 2'(1(0(0(0(3(0(1(1(z0))))))))), 1'(0(0(0(3(0(1(1(z0)))))))), 0'(0(0(3(0(1(1(z0))))))), 0'(0(3(0(1(1(z0)))))), 0'(3(0(1(1(z0))))), 3'(0(1(1(z0)))), 0'(1(1(z0))), 1'(1(z0)), 1'(z0))
   1'(z0) -> c36
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   1'(c_1(c_3(c_3(c_0(c_1(c_3(c_0(c_2(c_1(c_2(c_0(c_2(c_1(c_1(c_1(c_0(c_2(c_2(c_3(z0)))))))))))))))))))) -> c41(1'(3(3(3(2(1(3(3(0(2(0(3(1(2(0(3(0(3(2(0(z0)))))))))))))))))))), 3'(3(3(2(1(3(3(0(2(0(3(1(2(0(3(0(3(2(0(z0))))))))))))))))))), 3'(3(2(1(3(3(0(2(0(3(1(2(0(3(0(3(2(0(z0)))))))))))))))))), 3'(2(1(3(3(0(2(0(3(1(2(0(3(0(3(2(0(z0))))))))))))))))), 2'(1(3(3(0(2(0(3(1(2(0(3(0(3(2(0(z0)))))))))))))))), 1'(3(3(0(2(0(3(1(2(0(3(0(3(2(0(z0))))))))))))))), 3'(3(0(2(0(3(1(2(0(3(0(3(2(0(z0)))))))))))))), 3'(0(2(0(3(1(2(0(3(0(3(2(0(z0))))))))))))), 0'(2(0(3(1(2(0(3(0(3(2(0(z0)))))))))))), 2'(0(3(1(2(0(3(0(3(2(0(z0))))))))))), 0'(3(1(2(0(3(0(3(2(0(z0)))))))))), 3'(1(2(0(3(0(3(2(0(z0))))))))), 1'(2(0(3(0(3(2(0(z0)))))))), 2'(0(3(0(3(2(0(z0))))))), 0'(3(0(3(2(0(z0)))))), 3'(0(3(2(0(z0))))), 0'(3(2(0(z0)))), 3'(2(0(z0))), 2'(0(z0)), 0'(z0))
   1'(c_1(c_0(c_1(c_1(c_3(c_2(c_0(c_3(c_0(c_2(c_3(c_0(c_0(c_0(c_0(c_2(c_0(c_2(c_3(z0)))))))))))))))))))) -> c42(1'(2(3(0(3(0(2(1(0(2(0(3(1(3(0(3(3(2(2(3(z0)))))))))))))))))))), 2'(3(0(3(0(2(1(0(2(0(3(1(3(0(3(3(2(2(3(z0))))))))))))))))))), 3'(0(3(0(2(1(0(2(0(3(1(3(0(3(3(2(2(3(z0)))))))))))))))))), 0'(3(0(2(1(0(2(0(3(1(3(0(3(3(2(2(3(z0))))))))))))))))), 3'(0(2(1(0(2(0(3(1(3(0(3(3(2(2(3(z0)))))))))))))))), 0'(2(1(0(2(0(3(1(3(0(3(3(2(2(3(z0))))))))))))))), 2'(1(0(2(0(3(1(3(0(3(3(2(2(3(z0)))))))))))))), 1'(0(2(0(3(1(3(0(3(3(2(2(3(z0))))))))))))), 0'(2(0(3(1(3(0(3(3(2(2(3(z0)))))))))))), 2'(0(3(1(3(0(3(3(2(2(3(z0))))))))))), 0'(3(1(3(0(3(3(2(2(3(z0)))))))))), 3'(1(3(0(3(3(2(2(3(z0))))))))), 1'(3(0(3(3(2(2(3(z0)))))))), 3'(0(3(3(2(2(3(z0))))))), 0'(3(3(2(2(3(z0)))))), 3'(3(2(2(3(z0))))), 3'(2(2(3(z0)))), 2'(2(3(z0))), 2'(3(z0)), 3'(z0))
   1'(c_1(c_1(c_3(c_2(c_3(c_3(c_3(c_1(c_1(c_0(c_1(c_0(c_0(c_0(c_0(c_0(c_0(c_2(c_3(z0)))))))))))))))))))) -> c43(1'(3(0(0(0(3(1(0(1(1(3(1(0(0(3(1(2(0(3(3(z0)))))))))))))))))))), 3'(0(0(0(3(1(0(1(1(3(1(0(0(3(1(2(0(3(3(z0))))))))))))))))))), 0'(0(0(3(1(0(1(1(3(1(0(0(3(1(2(0(3(3(z0)))))))))))))))))), 0'(0(3(1(0(1(1(3(1(0(0(3(1(2(0(3(3(z0))))))))))))))))), 0'(3(1(0(1(1(3(1(0(0(3(1(2(0(3(3(z0)))))))))))))))), 3'(1(0(1(1(3(1(0(0(3(1(2(0(3(3(z0))))))))))))))), 1'(0(1(1(3(1(0(0(3(1(2(0(3(3(z0)))))))))))))), 0'(1(1(3(1(0(0(3(1(2(0(3(3(z0))))))))))))), 1'(1(3(1(0(0(3(1(2(0(3(3(z0)))))))))))), 1'(3(1(0(0(3(1(2(0(3(3(z0))))))))))), 3'(1(0(0(3(1(2(0(3(3(z0)))))))))), 1'(0(0(3(1(2(0(3(3(z0))))))))), 0'(0(3(1(2(0(3(3(z0)))))))), 0'(3(1(2(0(3(3(z0))))))), 3'(1(2(0(3(3(z0)))))), 1'(2(0(3(3(z0))))), 2'(0(3(3(z0)))), 0'(3(3(z0))), 3'(3(z0)), 3'(z0))
   1'(c_1(c_1(c_3(c_0(c_1(c_0(c_1(c_2(c_2(c_1(c_0(c_2(c_2(c_2(c_3(c_1(c_0(c_3(c_3(z0)))))))))))))))))))) -> c44(2'(2(0(0(3(3(1(2(1(3(3(0(2(3(2(2(1(2(3(3(z0)))))))))))))))))))), 2'(0(0(3(3(1(2(1(3(3(0(2(3(2(2(1(2(3(3(z0))))))))))))))))))), 0'(0(3(3(1(2(1(3(3(0(2(3(2(2(1(2(3(3(z0)))))))))))))))))), 0'(3(3(1(2(1(3(3(0(2(3(2(2(1(2(3(3(z0))))))))))))))))), 3'(3(1(2(1(3(3(0(2(3(2(2(1(2(3(3(z0)))))))))))))))), 3'(1(2(1(3(3(0(2(3(2(2(1(2(3(3(z0))))))))))))))), 1'(2(1(3(3(0(2(3(2(2(1(2(3(3(z0)))))))))))))), 2'(1(3(3(0(2(3(2(2(1(2(3(3(z0))))))))))))), 1'(3(3(0(2(3(2(2(1(2(3(3(z0)))))))))))), 3'(3(0(2(3(2(2(1(2(3(3(z0))))))))))), 3'(0(2(3(2(2(1(2(3(3(z0)))))))))), 0'(2(3(2(2(1(2(3(3(z0))))))))), 2'(3(2(2(1(2(3(3(z0)))))))), 3'(2(2(1(2(3(3(z0))))))), 2'(2(1(2(3(3(z0)))))), 2'(1(2(3(3(z0))))), 1'(2(3(3(z0)))), 2'(3(3(z0))), 3'(3(z0)), 3'(z0))
   1'(c_0(c_0(c_0(c_3(c_3(c_3(c_1(c_1(c_3(c_2(c_0(c_3(c_1(c_2(c_0(c_1(c_1(c_2(c_3(z0)))))))))))))))))))) -> c45(3'(1(3(1(3(3(3(2(2(0(0(3(0(1(3(0(0(2(0(0(z0)))))))))))))))))))), 1'(3(1(3(3(3(2(2(0(0(3(0(1(3(0(0(2(0(0(z0))))))))))))))))))), 3'(1(3(3(3(2(2(0(0(3(0(1(3(0(0(2(0(0(z0)))))))))))))))))), 1'(3(3(3(2(2(0(0(3(0(1(3(0(0(2(0(0(z0))))))))))))))))), 3'(3(3(2(2(0(0(3(0(1(3(0(0(2(0(0(z0)))))))))))))))), 3'(3(2(2(0(0(3(0(1(3(0(0(2(0(0(z0))))))))))))))), 3'(2(2(0(0(3(0(1(3(0(0(2(0(0(z0)))))))))))))), 2'(2(0(0(3(0(1(3(0(0(2(0(0(z0))))))))))))), 2'(0(0(3(0(1(3(0(0(2(0(0(z0)))))))))))), 0'(0(3(0(1(3(0(0(2(0(0(z0))))))))))), 0'(3(0(1(3(0(0(2(0(0(z0)))))))))), 3'(0(1(3(0(0(2(0(0(z0))))))))), 0'(1(3(0(0(2(0(0(z0)))))))), 1'(3(0(0(2(0(0(z0))))))), 3'(0(0(2(0(0(z0)))))), 0'(0(2(0(0(z0))))), 0'(2(0(0(z0)))), 2'(0(0(z0))), 0'(0(z0)), 0'(z0))
   1'(c_0(c_2(c_3(c_0(c_2(c_1(c_2(c_0(c_3(c_0(c_1(c_3(c_3(c_0(c_3(c_0(c_1(c_2(c_2(z0)))))))))))))))))))) -> c46(0'(2(2(0(1(1(3(0(1(1(3(3(0(3(3(0(3(1(3(1(z0)))))))))))))))))))), 2'(2(0(1(1(3(0(1(1(3(3(0(3(3(0(3(1(3(1(z0))))))))))))))))))), 2'(0(1(1(3(0(1(1(3(3(0(3(3(0(3(1(3(1(z0)))))))))))))))))), 0'(1(1(3(0(1(1(3(3(0(3(3(0(3(1(3(1(z0))))))))))))))))), 1'(1(3(0(1(1(3(3(0(3(3(0(3(1(3(1(z0)))))))))))))))), 1'(3(0(1(1(3(3(0(3(3(0(3(1(3(1(z0))))))))))))))), 3'(0(1(1(3(3(0(3(3(0(3(1(3(1(z0)))))))))))))), 0'(1(1(3(3(0(3(3(0(3(1(3(1(z0))))))))))))), 1'(1(3(3(0(3(3(0(3(1(3(1(z0)))))))))))), 1'(3(3(0(3(3(0(3(1(3(1(z0))))))))))), 3'(3(0(3(3(0(3(1(3(1(z0)))))))))), 3'(0(3(3(0(3(1(3(1(z0))))))))), 0'(3(3(0(3(1(3(1(z0)))))))), 3'(3(0(3(1(3(1(z0))))))), 3'(0(3(1(3(1(z0)))))), 0'(3(1(3(1(z0))))), 3'(1(3(1(z0)))), 1'(3(1(z0))), 3'(1(z0)), 1'(z0))
   1'(c_1(c_0(c_1(c_0(c_1(c_2(c_0(c_3(c_0(c_2(c_2(c_3(c_3(c_0(c_2(c_2(c_3(c_1(c_3(z0)))))))))))))))))))) -> c47(1'(1(1(0(2(3(3(0(3(1(3(0(2(1(1(0(3(2(3(3(z0)))))))))))))))))))), 1'(1(0(2(3(3(0(3(1(3(0(2(1(1(0(3(2(3(3(z0))))))))))))))))))), 1'(0(2(3(3(0(3(1(3(0(2(1(1(0(3(2(3(3(z0)))))))))))))))))), 0'(2(3(3(0(3(1(3(0(2(1(1(0(3(2(3(3(z0))))))))))))))))), 2'(3(3(0(3(1(3(0(2(1(1(0(3(2(3(3(z0)))))))))))))))), 3'(3(0(3(1(3(0(2(1(1(0(3(2(3(3(z0))))))))))))))), 3'(0(3(1(3(0(2(1(1(0(3(2(3(3(z0)))))))))))))), 0'(3(1(3(0(2(1(1(0(3(2(3(3(z0))))))))))))), 3'(1(3(0(2(1(1(0(3(2(3(3(z0)))))))))))), 1'(3(0(2(1(1(0(3(2(3(3(z0))))))))))), 3'(0(2(1(1(0(3(2(3(3(z0)))))))))), 0'(2(1(1(0(3(2(3(3(z0))))))))), 2'(1(1(0(3(2(3(3(z0)))))))), 1'(1(0(3(2(3(3(z0))))))), 1'(0(3(2(3(3(z0)))))), 0'(3(2(3(3(z0))))), 3'(2(3(3(z0)))), 2'(3(3(z0))), 3'(3(z0)), 3'(z0))
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   2'(z0) -> c52
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   2'(c_2(c_3(c_3(c_0(c_2(c_3(c_0(c_0(c_1(c_1(c_0(c_0(c_0(c_2(c_2(c_2(c_3(c_1(c_2(z0)))))))))))))))))))) -> c56(0'(3(0(3(2(0(1(0(1(2(0(3(3(0(2(2(3(0(3(2(z0)))))))))))))))))))), 3'(0(3(2(0(1(0(1(2(0(3(3(0(2(2(3(0(3(2(z0))))))))))))))))))), 0'(3(2(0(1(0(1(2(0(3(3(0(2(2(3(0(3(2(z0)))))))))))))))))), 3'(2(0(1(0(1(2(0(3(3(0(2(2(3(0(3(2(z0))))))))))))))))), 2'(0(1(0(1(2(0(3(3(0(2(2(3(0(3(2(z0)))))))))))))))), 0'(1(0(1(2(0(3(3(0(2(2(3(0(3(2(z0))))))))))))))), 1'(0(1(2(0(3(3(0(2(2(3(0(3(2(z0)))))))))))))), 0'(1(2(0(3(3(0(2(2(3(0(3(2(z0))))))))))))), 1'(2(0(3(3(0(2(2(3(0(3(2(z0)))))))))))), 2'(0(3(3(0(2(2(3(0(3(2(z0))))))))))), 0'(3(3(0(2(2(3(0(3(2(z0)))))))))), 3'(3(0(2(2(3(0(3(2(z0))))))))), 3'(0(2(2(3(0(3(2(z0)))))))), 0'(2(2(3(0(3(2(z0))))))), 2'(2(3(0(3(2(z0)))))), 2'(3(0(3(2(z0))))), 3'(0(3(2(z0)))), 0'(3(2(z0))), 3'(2(z0)), 2'(z0))
   2'(c_2(c_0(c_1(c_3(c_3(c_3(c_3(c_1(c_1(c_0(c_3(c_1(c_2(c_0(c_0(c_3(c_1(c_2(c_3(z0)))))))))))))))))))) -> c57(0'(3(3(0(3(3(2(3(0(1(0(1(3(3(3(2(3(2(1(3(z0)))))))))))))))))))), 3'(3(0(3(3(2(3(0(1(0(1(3(3(3(2(3(2(1(3(z0))))))))))))))))))), 3'(0(3(3(2(3(0(1(0(1(3(3(3(2(3(2(1(3(z0)))))))))))))))))), 0'(3(3(2(3(0(1(0(1(3(3(3(2(3(2(1(3(z0))))))))))))))))), 3'(3(2(3(0(1(0(1(3(3(3(2(3(2(1(3(z0)))))))))))))))), 3'(2(3(0(1(0(1(3(3(3(2(3(2(1(3(z0))))))))))))))), 2'(3(0(1(0(1(3(3(3(2(3(2(1(3(z0)))))))))))))), 3'(0(1(0(1(3(3(3(2(3(2(1(3(z0))))))))))))), 0'(1(0(1(3(3(3(2(3(2(1(3(z0)))))))))))), 1'(0(1(3(3(3(2(3(2(1(3(z0))))))))))), 0'(1(3(3(3(2(3(2(1(3(z0)))))))))), 1'(3(3(3(2(3(2(1(3(z0))))))))), 3'(3(3(2(3(2(1(3(z0)))))))), 3'(3(2(3(2(1(3(z0))))))), 3'(2(3(2(1(3(z0)))))), 2'(3(2(1(3(z0))))), 3'(2(1(3(z0)))), 2'(1(3(z0))), 1'(3(z0)), 3'(z0))
   2'(c_1(c_3(c_1(c_3(c_3(c_1(c_2(c_2(c_2(c_0(c_1(c_3(c_0(c_3(c_3(c_2(c_2(c_0(c_3(z0)))))))))))))))))))) -> c58(2'(2(0(1(3(3(1(2(0(0(0(3(3(0(1(3(1(3(0(3(z0)))))))))))))))))))), 2'(0(1(3(3(1(2(0(0(0(3(3(0(1(3(1(3(0(3(z0))))))))))))))))))), 0'(1(3(3(1(2(0(0(0(3(3(0(1(3(1(3(0(3(z0)))))))))))))))))), 1'(3(3(1(2(0(0(0(3(3(0(1(3(1(3(0(3(z0))))))))))))))))), 3'(3(1(2(0(0(0(3(3(0(1(3(1(3(0(3(z0)))))))))))))))), 3'(1(2(0(0(0(3(3(0(1(3(1(3(0(3(z0))))))))))))))), 1'(2(0(0(0(3(3(0(1(3(1(3(0(3(z0)))))))))))))), 2'(0(0(0(3(3(0(1(3(1(3(0(3(z0))))))))))))), 0'(0(0(3(3(0(1(3(1(3(0(3(z0)))))))))))), 0'(0(3(3(0(1(3(1(3(0(3(z0))))))))))), 0'(3(3(0(1(3(1(3(0(3(z0)))))))))), 3'(3(0(1(3(1(3(0(3(z0))))))))), 3'(0(1(3(1(3(0(3(z0)))))))), 0'(1(3(1(3(0(3(z0))))))), 1'(3(1(3(0(3(z0)))))), 3'(1(3(0(3(z0))))), 1'(3(0(3(z0)))), 3'(0(3(z0))), 0'(3(z0)), 3'(z0))
   2'(c_1(c_3(c_1(c_2(c_2(c_0(c_0(c_2(c_2(c_2(c_2(c_3(c_0(c_3(c_0(c_1(c_3(c_1(c_3(z0)))))))))))))))))))) -> c59(3'(0(2(0(3(3(2(2(3(3(0(2(3(2(1(0(0(2(1(3(z0)))))))))))))))))))), 0'(2(0(3(3(2(2(3(3(0(2(3(2(1(0(0(2(1(3(z0))))))))))))))))))), 2'(0(3(3(2(2(3(3(0(2(3(2(1(0(0(2(1(3(z0)))))))))))))))))), 0'(3(3(2(2(3(3(0(2(3(2(1(0(0(2(1(3(z0))))))))))))))))), 3'(3(2(2(3(3(0(2(3(2(1(0(0(2(1(3(z0)))))))))))))))), 3'(2(2(3(3(0(2(3(2(1(0(0(2(1(3(z0))))))))))))))), 2'(2(3(3(0(2(3(2(1(0(0(2(1(3(z0)))))))))))))), 2'(3(3(0(2(3(2(1(0(0(2(1(3(z0))))))))))))), 3'(3(0(2(3(2(1(0(0(2(1(3(z0)))))))))))), 3'(0(2(3(2(1(0(0(2(1(3(z0))))))))))), 0'(2(3(2(1(0(0(2(1(3(z0)))))))))), 2'(3(2(1(0(0(2(1(3(z0))))))))), 3'(2(1(0(0(2(1(3(z0)))))))), 2'(1(0(0(2(1(3(z0))))))), 1'(0(0(2(1(3(z0)))))), 0'(0(2(1(3(z0))))), 0'(2(1(3(z0)))), 2'(1(3(z0))), 1'(3(z0)), 3'(z0))
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   2'(c_1(c_3(c_1(c_3(c_3(c_1(c_1(c_1(c_1(c_1(c_1(c_0(c_2(c_3(c_2(c_3(c_0(c_0(c_3(z0)))))))))))))))))))) -> c84(1'(3(0(0(2(0(0(2(0(3(2(2(0(1(3(3(3(0(0(3(z0)))))))))))))))))))), 3'(0(0(2(0(0(2(0(3(2(2(0(1(3(3(3(0(0(3(z0))))))))))))))))))), 0'(0(2(0(0(2(0(3(2(2(0(1(3(3(3(0(0(3(z0)))))))))))))))))), 0'(2(0(0(2(0(3(2(2(0(1(3(3(3(0(0(3(z0))))))))))))))))), 2'(0(0(2(0(3(2(2(0(1(3(3(3(0(0(3(z0)))))))))))))))), 0'(0(2(0(3(2(2(0(1(3(3(3(0(0(3(z0))))))))))))))), 0'(2(0(3(2(2(0(1(3(3(3(0(0(3(z0)))))))))))))), 2'(0(3(2(2(0(1(3(3(3(0(0(3(z0))))))))))))), 0'(3(2(2(0(1(3(3(3(0(0(3(z0)))))))))))), 3'(2(2(0(1(3(3(3(0(0(3(z0))))))))))), 2'(2(0(1(3(3(3(0(0(3(z0)))))))))), 2'(0(1(3(3(3(0(0(3(z0))))))))), 0'(1(3(3(3(0(0(3(z0)))))))), 1'(3(3(3(0(0(3(z0))))))), 3'(3(3(0(0(3(z0)))))), 3'(3(0(0(3(z0))))), 3'(0(0(3(z0)))), 0'(0(3(z0))), 0'(3(z0)), 3'(z0))
   2'(c_1(c_0(c_3(c_0(c_2(c_0(c_2(c_1(c_3(c_3(c_3(c_1(c_1(c_1(c_0(c_0(c_3(c_3(c_2(z0)))))))))))))))))))) -> c85(2'(2(1(3(0(0(1(3(0(3(3(0(3(3(1(0(1(1(0(1(z0)))))))))))))))))))), 2'(1(3(0(0(1(3(0(3(3(0(3(3(1(0(1(1(0(1(z0))))))))))))))))))), 1'(3(0(0(1(3(0(3(3(0(3(3(1(0(1(1(0(1(z0)))))))))))))))))), 3'(0(0(1(3(0(3(3(0(3(3(1(0(1(1(0(1(z0))))))))))))))))), 0'(0(1(3(0(3(3(0(3(3(1(0(1(1(0(1(z0)))))))))))))))), 0'(1(3(0(3(3(0(3(3(1(0(1(1(0(1(z0))))))))))))))), 1'(3(0(3(3(0(3(3(1(0(1(1(0(1(z0)))))))))))))), 3'(0(3(3(0(3(3(1(0(1(1(0(1(z0))))))))))))), 0'(3(3(0(3(3(1(0(1(1(0(1(z0)))))))))))), 3'(3(0(3(3(1(0(1(1(0(1(z0))))))))))), 3'(0(3(3(1(0(1(1(0(1(z0)))))))))), 0'(3(3(1(0(1(1(0(1(z0))))))))), 3'(3(1(0(1(1(0(1(z0)))))))), 3'(1(0(1(1(0(1(z0))))))), 1'(0(1(1(0(1(z0)))))), 0'(1(1(0(1(z0))))), 1'(1(0(1(z0)))), 1'(0(1(z0))), 0'(1(z0)), 1'(z0))
   2'(c_3(c_1(c_2(c_0(c_3(c_2(c_0(c_2(c_3(c_3(c_0(c_2(c_0(c_0(c_1(c_0(c_1(c_0(c_3(z0)))))))))))))))))))) -> c86(0'(3(1(3(0(3(3(0(1(0(0(3(2(0(0(0(3(3(2(3(z0)))))))))))))))))))), 3'(1(3(0(3(3(0(1(0(0(3(2(0(0(0(3(3(2(3(z0))))))))))))))))))), 1'(3(0(3(3(0(1(0(0(3(2(0(0(0(3(3(2(3(z0)))))))))))))))))), 3'(0(3(3(0(1(0(0(3(2(0(0(0(3(3(2(3(z0))))))))))))))))), 0'(3(3(0(1(0(0(3(2(0(0(0(3(3(2(3(z0)))))))))))))))), 3'(3(0(1(0(0(3(2(0(0(0(3(3(2(3(z0))))))))))))))), 3'(0(1(0(0(3(2(0(0(0(3(3(2(3(z0)))))))))))))), 0'(1(0(0(3(2(0(0(0(3(3(2(3(z0))))))))))))), 1'(0(0(3(2(0(0(0(3(3(2(3(z0)))))))))))), 0'(0(3(2(0(0(0(3(3(2(3(z0))))))))))), 0'(3(2(0(0(0(3(3(2(3(z0)))))))))), 3'(2(0(0(0(3(3(2(3(z0))))))))), 2'(0(0(0(3(3(2(3(z0)))))))), 0'(0(0(3(3(2(3(z0))))))), 0'(0(3(3(2(3(z0)))))), 0'(3(3(2(3(z0))))), 3'(3(2(3(z0)))), 3'(2(3(z0))), 2'(3(z0)), 3'(z0))
   2'(c_2(c_3(c_2(c_0(c_0(c_3(c_0(c_3(c_3(c_2(c_2(c_2(c_0(c_2(c_3(c_3(c_3(c_3(c_2(z0)))))))))))))))))))) -> c87(1'(0(3(1(2(3(3(2(3(3(3(3(0(1(3(1(0(3(0(3(z0)))))))))))))))))))), 0'(3(1(2(3(3(2(3(3(3(3(0(1(3(1(0(3(0(3(z0))))))))))))))))))), 3'(1(2(3(3(2(3(3(3(3(0(1(3(1(0(3(0(3(z0)))))))))))))))))), 1'(2(3(3(2(3(3(3(3(0(1(3(1(0(3(0(3(z0))))))))))))))))), 2'(3(3(2(3(3(3(3(0(1(3(1(0(3(0(3(z0)))))))))))))))), 3'(3(2(3(3(3(3(0(1(3(1(0(3(0(3(z0))))))))))))))), 3'(2(3(3(3(3(0(1(3(1(0(3(0(3(z0)))))))))))))), 2'(3(3(3(3(0(1(3(1(0(3(0(3(z0))))))))))))), 3'(3(3(3(0(1(3(1(0(3(0(3(z0)))))))))))), 3'(3(3(0(1(3(1(0(3(0(3(z0))))))))))), 3'(3(0(1(3(1(0(3(0(3(z0)))))))))), 3'(0(1(3(1(0(3(0(3(z0))))))))), 0'(1(3(1(0(3(0(3(z0)))))))), 1'(3(1(0(3(0(3(z0))))))), 3'(1(0(3(0(3(z0)))))), 1'(0(3(0(3(z0))))), 0'(3(0(3(z0)))), 3'(0(3(z0))), 0'(3(z0)), 3'(z0))
   2'(c_2(c_3(c_3(c_0(c_2(c_2(c_0(c_1(c_3(c_1(c_3(c_3(c_0(c_3(c_2(c_2(c_2(c_1(c_2(z0)))))))))))))))))))) -> c88(2'(0(0(0(3(0(3(1(3(2(0(0(1(1(3(0(0(3(2(3(z0)))))))))))))))))))), 0'(0(0(3(0(3(1(3(2(0(0(1(1(3(0(0(3(2(3(z0))))))))))))))))))), 0'(0(3(0(3(1(3(2(0(0(1(1(3(0(0(3(2(3(z0)))))))))))))))))), 0'(3(0(3(1(3(2(0(0(1(1(3(0(0(3(2(3(z0))))))))))))))))), 3'(0(3(1(3(2(0(0(1(1(3(0(0(3(2(3(z0)))))))))))))))), 0'(3(1(3(2(0(0(1(1(3(0(0(3(2(3(z0))))))))))))))), 3'(1(3(2(0(0(1(1(3(0(0(3(2(3(z0)))))))))))))), 1'(3(2(0(0(1(1(3(0(0(3(2(3(z0))))))))))))), 3'(2(0(0(1(1(3(0(0(3(2(3(z0)))))))))))), 2'(0(0(1(1(3(0(0(3(2(3(z0))))))))))), 0'(0(1(1(3(0(0(3(2(3(z0)))))))))), 0'(1(1(3(0(0(3(2(3(z0))))))))), 1'(1(3(0(0(3(2(3(z0)))))))), 1'(3(0(0(3(2(3(z0))))))), 3'(0(0(3(2(3(z0)))))), 0'(0(3(2(3(z0))))), 0'(3(2(3(z0)))), 3'(2(3(z0))), 2'(3(z0)), 3'(z0))
   3'(z0) -> c89
   3'(c_3(c_0(c_2(c_2(c_3(c_3(c_1(c_2(c_2(c_0(c_0(c_3(c_2(c_0(c_2(c_1(c_0(c_3(c_3(z0)))))))))))))))))))) -> c90(1'(0(2(1(1(3(2(1(1(3(0(3(3(1(1(3(1(3(3(3(z0)))))))))))))))))))), 0'(2(1(1(3(2(1(1(3(0(3(3(1(1(3(1(3(3(3(z0))))))))))))))))))), 2'(1(1(3(2(1(1(3(0(3(3(1(1(3(1(3(3(3(z0)))))))))))))))))), 1'(1(3(2(1(1(3(0(3(3(1(1(3(1(3(3(3(z0))))))))))))))))), 1'(3(2(1(1(3(0(3(3(1(1(3(1(3(3(3(z0)))))))))))))))), 3'(2(1(1(3(0(3(3(1(1(3(1(3(3(3(z0))))))))))))))), 2'(1(1(3(0(3(3(1(1(3(1(3(3(3(z0)))))))))))))), 1'(1(3(0(3(3(1(1(3(1(3(3(3(z0))))))))))))), 1'(3(0(3(3(1(1(3(1(3(3(3(z0)))))))))))), 3'(0(3(3(1(1(3(1(3(3(3(z0))))))))))), 0'(3(3(1(1(3(1(3(3(3(z0)))))))))), 3'(3(1(1(3(1(3(3(3(z0))))))))), 3'(1(1(3(1(3(3(3(z0)))))))), 1'(1(3(1(3(3(3(z0))))))), 1'(3(1(3(3(3(z0)))))), 3'(1(3(3(3(z0))))), 1'(3(3(3(z0)))), 3'(3(3(z0))), 3'(3(z0)), 3'(z0))
   3'(c_3(c_1(c_0(c_3(c_1(c_0(c_3(c_1(c_1(c_3(c_3(c_1(c_3(c_0(c_2(c_2(c_3(c_1(c_1(z0)))))))))))))))))))) -> c91(0'(0(3(0(2(1(3(3(0(0(3(2(0(0(3(0(2(2(0(0(z0)))))))))))))))))))), 0'(3(0(2(1(3(3(0(0(3(2(0(0(3(0(2(2(0(0(z0))))))))))))))))))), 3'(0(2(1(3(3(0(0(3(2(0(0(3(0(2(2(0(0(z0)))))))))))))))))), 0'(2(1(3(3(0(0(3(2(0(0(3(0(2(2(0(0(z0))))))))))))))))), 2'(1(3(3(0(0(3(2(0(0(3(0(2(2(0(0(z0)))))))))))))))), 1'(3(3(0(0(3(2(0(0(3(0(2(2(0(0(z0))))))))))))))), 3'(3(0(0(3(2(0(0(3(0(2(2(0(0(z0)))))))))))))), 3'(0(0(3(2(0(0(3(0(2(2(0(0(z0))))))))))))), 0'(0(3(2(0(0(3(0(2(2(0(0(z0)))))))))))), 0'(3(2(0(0(3(0(2(2(0(0(z0))))))))))), 3'(2(0(0(3(0(2(2(0(0(z0)))))))))), 2'(0(0(3(0(2(2(0(0(z0))))))))), 0'(0(3(0(2(2(0(0(z0)))))))), 0'(3(0(2(2(0(0(z0))))))), 3'(0(2(2(0(0(z0)))))), 0'(2(2(0(0(z0))))), 2'(2(0(0(z0)))), 2'(0(0(z0))), 0'(0(z0)), 0'(z0))
   3'(c_3(c_2(c_1(c_3(c_1(c_3(c_0(c_2(c_0(c_3(c_1(c_2(c_1(c_3(c_2(c_1(c_3(c_2(c_3(z0)))))))))))))))))))) -> c92(2'(3(3(2(2(2(0(3(1(2(3(3(3(3(0(1(3(2(0(3(z0)))))))))))))))))))), 3'(3(2(2(2(0(3(1(2(3(3(3(3(0(1(3(2(0(3(z0))))))))))))))))))), 3'(2(2(2(0(3(1(2(3(3(3(3(0(1(3(2(0(3(z0)))))))))))))))))), 2'(2(2(0(3(1(2(3(3(3(3(0(1(3(2(0(3(z0))))))))))))))))), 2'(2(0(3(1(2(3(3(3(3(0(1(3(2(0(3(z0)))))))))))))))), 2'(0(3(1(2(3(3(3(3(0(1(3(2(0(3(z0))))))))))))))), 0'(3(1(2(3(3(3(3(0(1(3(2(0(3(z0)))))))))))))), 3'(1(2(3(3(3(3(0(1(3(2(0(3(z0))))))))))))), 1'(2(3(3(3(3(0(1(3(2(0(3(z0)))))))))))), 2'(3(3(3(3(0(1(3(2(0(3(z0))))))))))), 3'(3(3(3(0(1(3(2(0(3(z0)))))))))), 3'(3(3(0(1(3(2(0(3(z0))))))))), 3'(3(0(1(3(2(0(3(z0)))))))), 3'(0(1(3(2(0(3(z0))))))), 0'(1(3(2(0(3(z0)))))), 1'(3(2(0(3(z0))))), 3'(2(0(3(z0)))), 2'(0(3(z0))), 0'(3(z0)), 3'(z0))
   3'(c_0(c_1(c_0(c_1(c_2(c_3(c_2(c_1(c_1(c_0(c_1(c_1(c_3(c_0(c_3(c_3(c_2(c_1(c_3(z0)))))))))))))))))))) -> c93(0'(3(0(0(2(3(0(2(2(1(0(1(2(0(1(3(1(3(1(3(z0)))))))))))))))))))), 3'(0(0(2(3(0(2(2(1(0(1(2(0(1(3(1(3(1(3(z0))))))))))))))))))), 0'(0(2(3(0(2(2(1(0(1(2(0(1(3(1(3(1(3(z0)))))))))))))))))), 0'(2(3(0(2(2(1(0(1(2(0(1(3(1(3(1(3(z0))))))))))))))))), 2'(3(0(2(2(1(0(1(2(0(1(3(1(3(1(3(z0)))))))))))))))), 3'(0(2(2(1(0(1(2(0(1(3(1(3(1(3(z0))))))))))))))), 0'(2(2(1(0(1(2(0(1(3(1(3(1(3(z0)))))))))))))), 2'(2(1(0(1(2(0(1(3(1(3(1(3(z0))))))))))))), 2'(1(0(1(2(0(1(3(1(3(1(3(z0)))))))))))), 1'(0(1(2(0(1(3(1(3(1(3(z0))))))))))), 0'(1(2(0(1(3(1(3(1(3(z0)))))))))), 1'(2(0(1(3(1(3(1(3(z0))))))))), 2'(0(1(3(1(3(1(3(z0)))))))), 0'(1(3(1(3(1(3(z0))))))), 1'(3(1(3(1(3(z0)))))), 3'(1(3(1(3(z0))))), 1'(3(1(3(z0)))), 3'(1(3(z0))), 1'(3(z0)), 3'(z0))
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   3'(c_3(c_3(c_3(c_1(c_1(c_3(c_2(c_3(c_0(c_3(c_3(c_0(c_3(c_2(c_1(c_0(c_0(c_2(c_2(z0)))))))))))))))))))) -> c107(3'(3(0(3(0(0(3(3(3(1(3(1(1(0(3(0(2(0(1(2(z0)))))))))))))))))))), 3'(0(3(0(0(3(3(3(1(3(1(1(0(3(0(2(0(1(2(z0))))))))))))))))))), 0'(3(0(0(3(3(3(1(3(1(1(0(3(0(2(0(1(2(z0)))))))))))))))))), 3'(0(0(3(3(3(1(3(1(1(0(3(0(2(0(1(2(z0))))))))))))))))), 0'(0(3(3(3(1(3(1(1(0(3(0(2(0(1(2(z0)))))))))))))))), 0'(3(3(3(1(3(1(1(0(3(0(2(0(1(2(z0))))))))))))))), 3'(3(3(1(3(1(1(0(3(0(2(0(1(2(z0)))))))))))))), 3'(3(1(3(1(1(0(3(0(2(0(1(2(z0))))))))))))), 3'(1(3(1(1(0(3(0(2(0(1(2(z0)))))))))))), 1'(3(1(1(0(3(0(2(0(1(2(z0))))))))))), 3'(1(1(0(3(0(2(0(1(2(z0)))))))))), 1'(1(0(3(0(2(0(1(2(z0))))))))), 1'(0(3(0(2(0(1(2(z0)))))))), 0'(3(0(2(0(1(2(z0))))))), 3'(0(2(0(1(2(z0)))))), 0'(2(0(1(2(z0))))), 2'(0(1(2(z0)))), 0'(1(2(z0))), 1'(2(z0)), 2'(z0))
   3'(c_2(c_3(c_0(c_1(c_3(c_2(c_2(c_0(c_1(c_1(c_3(c_3(c_3(c_1(c_2(c_3(c_1(c_1(c_0(z0)))))))))))))))))))) -> c108(0'(0(0(0(3(2(3(1(1(1(0(1(0(0(3(3(0(2(3(1(z0)))))))))))))))))))), 0'(0(0(3(2(3(1(1(1(0(1(0(0(3(3(0(2(3(1(z0))))))))))))))))))), 0'(0(3(2(3(1(1(1(0(1(0(0(3(3(0(2(3(1(z0)))))))))))))))))), 0'(3(2(3(1(1(1(0(1(0(0(3(3(0(2(3(1(z0))))))))))))))))), 3'(2(3(1(1(1(0(1(0(0(3(3(0(2(3(1(z0)))))))))))))))), 2'(3(1(1(1(0(1(0(0(3(3(0(2(3(1(z0))))))))))))))), 3'(1(1(1(0(1(0(0(3(3(0(2(3(1(z0)))))))))))))), 1'(1(1(0(1(0(0(3(3(0(2(3(1(z0))))))))))))), 1'(1(0(1(0(0(3(3(0(2(3(1(z0)))))))))))), 1'(0(1(0(0(3(3(0(2(3(1(z0))))))))))), 0'(1(0(0(3(3(0(2(3(1(z0)))))))))), 1'(0(0(3(3(0(2(3(1(z0))))))))), 0'(0(3(3(0(2(3(1(z0)))))))), 0'(3(3(0(2(3(1(z0))))))), 3'(3(0(2(3(1(z0)))))), 3'(0(2(3(1(z0))))), 0'(2(3(1(z0)))), 2'(3(1(z0))), 3'(1(z0)), 1'(z0))
   3'(c_0(c_3(c_2(c_2(c_2(c_3(c_1(c_3(c_0(c_2(c_1(c_0(c_1(c_0(c_2(c_2(c_3(c_3(c_1(z0)))))))))))))))))))) -> c109(2'(3(0(0(3(1(2(0(3(3(0(0(0(3(3(3(1(0(2(2(z0)))))))))))))))))))), 3'(0(0(3(1(2(0(3(3(0(0(0(3(3(3(1(0(2(2(z0))))))))))))))))))), 0'(0(3(1(2(0(3(3(0(0(0(3(3(3(1(0(2(2(z0)))))))))))))))))), 0'(3(1(2(0(3(3(0(0(0(3(3(3(1(0(2(2(z0))))))))))))))))), 3'(1(2(0(3(3(0(0(0(3(3(3(1(0(2(2(z0)))))))))))))))), 1'(2(0(3(3(0(0(0(3(3(3(1(0(2(2(z0))))))))))))))), 2'(0(3(3(0(0(0(3(3(3(1(0(2(2(z0)))))))))))))), 0'(3(3(0(0(0(3(3(3(1(0(2(2(z0))))))))))))), 3'(3(0(0(0(3(3(3(1(0(2(2(z0)))))))))))), 3'(0(0(0(3(3(3(1(0(2(2(z0))))))))))), 0'(0(0(3(3(3(1(0(2(2(z0)))))))))), 0'(0(3(3(3(1(0(2(2(z0))))))))), 0'(3(3(3(1(0(2(2(z0)))))))), 3'(3(3(1(0(2(2(z0))))))), 3'(3(1(0(2(2(z0)))))), 3'(1(0(2(2(z0))))), 1'(0(2(2(z0)))), 0'(2(2(z0))), 2'(2(z0)), 2'(z0))
   3'(c_2(c_0(c_3(c_3(c_1(c_3(c_2(c_3(c_0(c_3(c_2(c_3(c_1(c_3(c_0(c_2(c_1(c_3(c_0(z0)))))))))))))))))))) -> c110(3'(3(3(0(2(3(3(0(2(0(3(3(3(3(1(0(0(1(3(0(z0)))))))))))))))))))), 3'(3(0(2(3(3(0(2(0(3(3(3(3(1(0(0(1(3(0(z0))))))))))))))))))), 3'(0(2(3(3(0(2(0(3(3(3(3(1(0(0(1(3(0(z0)))))))))))))))))), 0'(2(3(3(0(2(0(3(3(3(3(1(0(0(1(3(0(z0))))))))))))))))), 2'(3(3(0(2(0(3(3(3(3(1(0(0(1(3(0(z0)))))))))))))))), 3'(3(0(2(0(3(3(3(3(1(0(0(1(3(0(z0))))))))))))))), 3'(0(2(0(3(3(3(3(1(0(0(1(3(0(z0)))))))))))))), 0'(2(0(3(3(3(3(1(0(0(1(3(0(z0))))))))))))), 2'(0(3(3(3(3(1(0(0(1(3(0(z0)))))))))))), 0'(3(3(3(3(1(0(0(1(3(0(z0))))))))))), 3'(3(3(3(1(0(0(1(3(0(z0)))))))))), 3'(3(3(1(0(0(1(3(0(z0))))))))), 3'(3(1(0(0(1(3(0(z0)))))))), 3'(1(0(0(1(3(0(z0))))))), 1'(0(0(1(3(0(z0)))))), 0'(0(1(3(0(z0))))), 0'(1(3(0(z0)))), 1'(3(0(z0))), 3'(0(z0)), 0'(z0))
S tuples:
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   0'(c_0(c_1(c_2(c_3(c_0(c_1(c_0(c_3(c_0(c_3(c_1(c_1(c_1(c_0(c_1(c_3(c_3(c_2(c_3(z0)))))))))))))))))))) -> c10(3'(0(3(1(1(0(2(3(0(3(3(1(3(1(0(3(0(1(2(3(z0)))))))))))))))))))), 0'(3(1(1(0(2(3(0(3(3(1(3(1(0(3(0(1(2(3(z0))))))))))))))))))), 3'(1(1(0(2(3(0(3(3(1(3(1(0(3(0(1(2(3(z0)))))))))))))))))), 1'(1(0(2(3(0(3(3(1(3(1(0(3(0(1(2(3(z0))))))))))))))))), 1'(0(2(3(0(3(3(1(3(1(0(3(0(1(2(3(z0)))))))))))))))), 0'(2(3(0(3(3(1(3(1(0(3(0(1(2(3(z0))))))))))))))), 2'(3(0(3(3(1(3(1(0(3(0(1(2(3(z0)))))))))))))), 3'(0(3(3(1(3(1(0(3(0(1(2(3(z0))))))))))))), 0'(3(3(1(3(1(0(3(0(1(2(3(z0)))))))))))), 3'(3(1(3(1(0(3(0(1(2(3(z0))))))))))), 3'(1(3(1(0(3(0(1(2(3(z0)))))))))), 1'(3(1(0(3(0(1(2(3(z0))))))))), 3'(1(0(3(0(1(2(3(z0)))))))), 1'(0(3(0(1(2(3(z0))))))), 0'(3(0(1(2(3(z0)))))), 3'(0(1(2(3(z0))))), 0'(1(2(3(z0)))), 1'(2(3(z0))), 2'(3(z0)), 3'(z0))
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   0'(c_0(c_1(c_1(c_0(c_1(c_0(c_2(c_3(c_1(c_3(c_3(c_3(c_1(c_2(c_2(c_0(c_0(c_2(c_3(z0)))))))))))))))))))) -> c12(0'(0(3(0(2(1(3(3(1(3(2(3(3(3(2(0(0(1(0(2(z0)))))))))))))))))))), 0'(3(0(2(1(3(3(1(3(2(3(3(3(2(0(0(1(0(2(z0))))))))))))))))))), 3'(0(2(1(3(3(1(3(2(3(3(3(2(0(0(1(0(2(z0)))))))))))))))))), 0'(2(1(3(3(1(3(2(3(3(3(2(0(0(1(0(2(z0))))))))))))))))), 2'(1(3(3(1(3(2(3(3(3(2(0(0(1(0(2(z0)))))))))))))))), 1'(3(3(1(3(2(3(3(3(2(0(0(1(0(2(z0))))))))))))))), 3'(3(1(3(2(3(3(3(2(0(0(1(0(2(z0)))))))))))))), 3'(1(3(2(3(3(3(2(0(0(1(0(2(z0))))))))))))), 1'(3(2(3(3(3(2(0(0(1(0(2(z0)))))))))))), 3'(2(3(3(3(2(0(0(1(0(2(z0))))))))))), 2'(3(3(3(2(0(0(1(0(2(z0)))))))))), 3'(3(3(2(0(0(1(0(2(z0))))))))), 3'(3(2(0(0(1(0(2(z0)))))))), 3'(2(0(0(1(0(2(z0))))))), 2'(0(0(1(0(2(z0)))))), 0'(0(1(0(2(z0))))), 0'(1(0(2(z0)))), 1'(0(2(z0))), 0'(2(z0)), 2'(z0))
   0'(c_1(c_0(c_1(c_1(c_3(c_3(c_0(c_0(c_1(c_3(c_1(c_3(c_0(c_2(c_3(c_0(c_3(c_2(c_3(z0)))))))))))))))))))) -> c13(1'(2(3(3(0(1(3(3(0(1(0(3(3(3(0(2(0(2(1(3(z0)))))))))))))))))))), 2'(3(3(0(1(3(3(0(1(0(3(3(3(0(2(0(2(1(3(z0))))))))))))))))))), 3'(3(0(1(3(3(0(1(0(3(3(3(0(2(0(2(1(3(z0)))))))))))))))))), 3'(0(1(3(3(0(1(0(3(3(3(0(2(0(2(1(3(z0))))))))))))))))), 0'(1(3(3(0(1(0(3(3(3(0(2(0(2(1(3(z0)))))))))))))))), 1'(3(3(0(1(0(3(3(3(0(2(0(2(1(3(z0))))))))))))))), 3'(3(0(1(0(3(3(3(0(2(0(2(1(3(z0)))))))))))))), 3'(0(1(0(3(3(3(0(2(0(2(1(3(z0))))))))))))), 0'(1(0(3(3(3(0(2(0(2(1(3(z0)))))))))))), 1'(0(3(3(3(0(2(0(2(1(3(z0))))))))))), 0'(3(3(3(0(2(0(2(1(3(z0)))))))))), 3'(3(3(0(2(0(2(1(3(z0))))))))), 3'(3(0(2(0(2(1(3(z0)))))))), 3'(0(2(0(2(1(3(z0))))))), 0'(2(0(2(1(3(z0)))))), 2'(0(2(1(3(z0))))), 0'(2(1(3(z0)))), 2'(1(3(z0))), 1'(3(z0)), 3'(z0))
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   3'(c_0(c_3(c_2(c_1(c_3(c_0(c_3(c_3(c_0(c_3(c_3(c_0(c_3(c_0(c_3(c_1(c_0(c_0(c_1(z0)))))))))))))))))))) -> c105(3'(3(3(3(2(3(0(1(0(0(0(3(3(1(3(3(3(1(1(2(z0)))))))))))))))))))), 3'(3(3(2(3(0(1(0(0(0(3(3(1(3(3(3(1(1(2(z0))))))))))))))))))), 3'(3(2(3(0(1(0(0(0(3(3(1(3(3(3(1(1(2(z0)))))))))))))))))), 3'(2(3(0(1(0(0(0(3(3(1(3(3(3(1(1(2(z0))))))))))))))))), 2'(3(0(1(0(0(0(3(3(1(3(3(3(1(1(2(z0)))))))))))))))), 3'(0(1(0(0(0(3(3(1(3(3(3(1(1(2(z0))))))))))))))), 0'(1(0(0(0(3(3(1(3(3(3(1(1(2(z0)))))))))))))), 1'(0(0(0(3(3(1(3(3(3(1(1(2(z0))))))))))))), 0'(0(0(3(3(1(3(3(3(1(1(2(z0)))))))))))), 0'(0(3(3(1(3(3(3(1(1(2(z0))))))))))), 0'(3(3(1(3(3(3(1(1(2(z0)))))))))), 3'(3(1(3(3(3(1(1(2(z0))))))))), 3'(1(3(3(3(1(1(2(z0)))))))), 1'(3(3(3(1(1(2(z0))))))), 3'(3(3(1(1(2(z0)))))), 3'(3(1(1(2(z0))))), 3'(1(1(2(z0)))), 1'(1(2(z0))), 1'(2(z0)), 2'(z0))
   3'(c_3(c_1(c_0(c_1(c_3(c_0(c_0(c_3(c_1(c_2(c_1(c_0(c_0(c_3(c_0(c_1(c_0(c_3(c_1(z0)))))))))))))))))))) -> c106(1'(3(3(3(3(2(3(2(2(0(3(1(0(0(1(3(0(3(3(1(z0)))))))))))))))))))), 3'(3(3(3(2(3(2(2(0(3(1(0(0(1(3(0(3(3(1(z0))))))))))))))))))), 3'(3(3(2(3(2(2(0(3(1(0(0(1(3(0(3(3(1(z0)))))))))))))))))), 3'(3(2(3(2(2(0(3(1(0(0(1(3(0(3(3(1(z0))))))))))))))))), 3'(2(3(2(2(0(3(1(0(0(1(3(0(3(3(1(z0)))))))))))))))), 2'(3(2(2(0(3(1(0(0(1(3(0(3(3(1(z0))))))))))))))), 3'(2(2(0(3(1(0(0(1(3(0(3(3(1(z0)))))))))))))), 2'(2(0(3(1(0(0(1(3(0(3(3(1(z0))))))))))))), 2'(0(3(1(0(0(1(3(0(3(3(1(z0)))))))))))), 0'(3(1(0(0(1(3(0(3(3(1(z0))))))))))), 3'(1(0(0(1(3(0(3(3(1(z0)))))))))), 1'(0(0(1(3(0(3(3(1(z0))))))))), 0'(0(1(3(0(3(3(1(z0)))))))), 0'(1(3(0(3(3(1(z0))))))), 1'(3(0(3(3(1(z0)))))), 3'(0(3(3(1(z0))))), 0'(3(3(1(z0)))), 3'(3(1(z0))), 3'(1(z0)), 1'(z0))
   3'(c_3(c_3(c_3(c_1(c_1(c_3(c_2(c_3(c_0(c_3(c_3(c_0(c_3(c_2(c_1(c_0(c_0(c_2(c_2(z0)))))))))))))))))))) -> c107(3'(3(0(3(0(0(3(3(3(1(3(1(1(0(3(0(2(0(1(2(z0)))))))))))))))))))), 3'(0(3(0(0(3(3(3(1(3(1(1(0(3(0(2(0(1(2(z0))))))))))))))))))), 0'(3(0(0(3(3(3(1(3(1(1(0(3(0(2(0(1(2(z0)))))))))))))))))), 3'(0(0(3(3(3(1(3(1(1(0(3(0(2(0(1(2(z0))))))))))))))))), 0'(0(3(3(3(1(3(1(1(0(3(0(2(0(1(2(z0)))))))))))))))), 0'(3(3(3(1(3(1(1(0(3(0(2(0(1(2(z0))))))))))))))), 3'(3(3(1(3(1(1(0(3(0(2(0(1(2(z0)))))))))))))), 3'(3(1(3(1(1(0(3(0(2(0(1(2(z0))))))))))))), 3'(1(3(1(1(0(3(0(2(0(1(2(z0)))))))))))), 1'(3(1(1(0(3(0(2(0(1(2(z0))))))))))), 3'(1(1(0(3(0(2(0(1(2(z0)))))))))), 1'(1(0(3(0(2(0(1(2(z0))))))))), 1'(0(3(0(2(0(1(2(z0)))))))), 0'(3(0(2(0(1(2(z0))))))), 3'(0(2(0(1(2(z0)))))), 0'(2(0(1(2(z0))))), 2'(0(1(2(z0)))), 0'(1(2(z0))), 1'(2(z0)), 2'(z0))
   3'(c_2(c_3(c_0(c_1(c_3(c_2(c_2(c_0(c_1(c_1(c_3(c_3(c_3(c_1(c_2(c_3(c_1(c_1(c_0(z0)))))))))))))))))))) -> c108(0'(0(0(0(3(2(3(1(1(1(0(1(0(0(3(3(0(2(3(1(z0)))))))))))))))))))), 0'(0(0(3(2(3(1(1(1(0(1(0(0(3(3(0(2(3(1(z0))))))))))))))))))), 0'(0(3(2(3(1(1(1(0(1(0(0(3(3(0(2(3(1(z0)))))))))))))))))), 0'(3(2(3(1(1(1(0(1(0(0(3(3(0(2(3(1(z0))))))))))))))))), 3'(2(3(1(1(1(0(1(0(0(3(3(0(2(3(1(z0)))))))))))))))), 2'(3(1(1(1(0(1(0(0(3(3(0(2(3(1(z0))))))))))))))), 3'(1(1(1(0(1(0(0(3(3(0(2(3(1(z0)))))))))))))), 1'(1(1(0(1(0(0(3(3(0(2(3(1(z0))))))))))))), 1'(1(0(1(0(0(3(3(0(2(3(1(z0)))))))))))), 1'(0(1(0(0(3(3(0(2(3(1(z0))))))))))), 0'(1(0(0(3(3(0(2(3(1(z0)))))))))), 1'(0(0(3(3(0(2(3(1(z0))))))))), 0'(0(3(3(0(2(3(1(z0)))))))), 0'(3(3(0(2(3(1(z0))))))), 3'(3(0(2(3(1(z0)))))), 3'(0(2(3(1(z0))))), 0'(2(3(1(z0)))), 2'(3(1(z0))), 3'(1(z0)), 1'(z0))
   3'(c_0(c_3(c_2(c_2(c_2(c_3(c_1(c_3(c_0(c_2(c_1(c_0(c_1(c_0(c_2(c_2(c_3(c_3(c_1(z0)))))))))))))))))))) -> c109(2'(3(0(0(3(1(2(0(3(3(0(0(0(3(3(3(1(0(2(2(z0)))))))))))))))))))), 3'(0(0(3(1(2(0(3(3(0(0(0(3(3(3(1(0(2(2(z0))))))))))))))))))), 0'(0(3(1(2(0(3(3(0(0(0(3(3(3(1(0(2(2(z0)))))))))))))))))), 0'(3(1(2(0(3(3(0(0(0(3(3(3(1(0(2(2(z0))))))))))))))))), 3'(1(2(0(3(3(0(0(0(3(3(3(1(0(2(2(z0)))))))))))))))), 1'(2(0(3(3(0(0(0(3(3(3(1(0(2(2(z0))))))))))))))), 2'(0(3(3(0(0(0(3(3(3(1(0(2(2(z0)))))))))))))), 0'(3(3(0(0(0(3(3(3(1(0(2(2(z0))))))))))))), 3'(3(0(0(0(3(3(3(1(0(2(2(z0)))))))))))), 3'(0(0(0(3(3(3(1(0(2(2(z0))))))))))), 0'(0(0(3(3(3(1(0(2(2(z0)))))))))), 0'(0(3(3(3(1(0(2(2(z0))))))))), 0'(3(3(3(1(0(2(2(z0)))))))), 3'(3(3(1(0(2(2(z0))))))), 3'(3(1(0(2(2(z0)))))), 3'(1(0(2(2(z0))))), 1'(0(2(2(z0)))), 0'(2(2(z0))), 2'(2(z0)), 2'(z0))
   3'(c_2(c_0(c_3(c_3(c_1(c_3(c_2(c_3(c_0(c_3(c_2(c_3(c_1(c_3(c_0(c_2(c_1(c_3(c_0(z0)))))))))))))))))))) -> c110(3'(3(3(0(2(3(3(0(2(0(3(3(3(3(1(0(0(1(3(0(z0)))))))))))))))))))), 3'(3(0(2(3(3(0(2(0(3(3(3(3(1(0(0(1(3(0(z0))))))))))))))))))), 3'(0(2(3(3(0(2(0(3(3(3(3(1(0(0(1(3(0(z0)))))))))))))))))), 0'(2(3(3(0(2(0(3(3(3(3(1(0(0(1(3(0(z0))))))))))))))))), 2'(3(3(0(2(0(3(3(3(3(1(0(0(1(3(0(z0)))))))))))))))), 3'(3(0(2(0(3(3(3(3(1(0(0(1(3(0(z0))))))))))))))), 3'(0(2(0(3(3(3(3(1(0(0(1(3(0(z0)))))))))))))), 0'(2(0(3(3(3(3(1(0(0(1(3(0(z0))))))))))))), 2'(0(3(3(3(3(1(0(0(1(3(0(z0)))))))))))), 0'(3(3(3(3(1(0(0(1(3(0(z0))))))))))), 3'(3(3(3(1(0(0(1(3(0(z0)))))))))), 3'(3(3(1(0(0(1(3(0(z0))))))))), 3'(3(1(0(0(1(3(0(z0)))))))), 3'(1(0(0(1(3(0(z0))))))), 1'(0(0(1(3(0(z0)))))), 0'(0(1(3(0(z0))))), 0'(1(3(0(z0)))), 1'(3(0(z0))), 3'(0(z0)), 0'(z0))
K tuples:none
Defined Rule Symbols:   0_1, 2_1, 3_1, 1_1, encArg_1, encode_0_1, encode_1_1, encode_2_1, encode_3_1

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

Compound Symbols:   c_2, c1_2, c2_2, c3_2, c4_2, c5_2, c6_2, c7_2, c8, c9_20, c10_20, 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_20, c33_20, c34_20, c35_20, c36, c37_20, c38_20, c39_20, c40_20, c41_20, c42_20, c43_20, c44_20, c45_20, c46_20, c47_20, c48_20, c49_20, c50_20, c51_20, c52, 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_20, c73_20, c74_20, c75_20, c76_20, c77_20, c78_20, c79_20, c80_20, c81_20, c82_20, c83_20, c84_20, c85_20, c86_20, c87_20, c88_20, c89, c90_20, c91_20, c92_20, c93_20, c94_20, c95_20, c96_20, c97_20, c98_20, c99_20, c100_20, c101_20, c102_20, c103_20, c104_20, c105_20, c106_20, c107_20, c108_20, c109_20, c110_20


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

(39) CdtLeafRemovalProof (BOTH BOUNDS(ID, ID))
Removed 4 trailing nodes:
   2'(z0) -> c52
   1'(z0) -> c36
   0'(z0) -> c8
   3'(z0) -> c89

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

(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))
   encode_0(z0) -> 0(encArg(z0))
   encode_1(z0) -> 1(encArg(z0))
   encode_2(z0) -> 2(encArg(z0))
   encode_3(z0) -> 3(encArg(z0))
   0(z0) -> c_0(z0)
   0(c_1(c_1(c_1(c_0(c_0(c_0(c_0(c_0(c_0(c_3(c_0(c_1(c_0(c_1(c_0(c_2(c_0(c_3(c_1(z0)))))))))))))))))))) -> 1(0(2(1(3(0(1(0(2(3(0(0(3(3(0(1(0(0(1(0(z0))))))))))))))))))))
   0(c_0(c_1(c_2(c_3(c_0(c_1(c_0(c_3(c_0(c_3(c_1(c_1(c_1(c_0(c_1(c_3(c_3(c_2(c_3(z0)))))))))))))))))))) -> 3(0(3(1(1(0(2(3(0(3(3(1(3(1(0(3(0(1(2(3(z0))))))))))))))))))))
   0(c_2(c_0(c_3(c_1(c_1(c_3(c_2(c_3(c_3(c_0(c_2(c_2(c_0(c_2(c_3(c_0(c_0(c_2(c_3(z0)))))))))))))))))))) -> 0(0(3(3(2(3(3(3(0(1(1(1(2(2(3(1(3(1(1(3(z0))))))))))))))))))))
   0(c_0(c_1(c_1(c_0(c_1(c_0(c_2(c_3(c_1(c_3(c_3(c_3(c_1(c_2(c_2(c_0(c_0(c_2(c_3(z0)))))))))))))))))))) -> 0(0(3(0(2(1(3(3(1(3(2(3(3(3(2(0(0(1(0(2(z0))))))))))))))))))))
   0(c_1(c_0(c_1(c_1(c_3(c_3(c_0(c_0(c_1(c_3(c_1(c_3(c_0(c_2(c_3(c_0(c_3(c_2(c_3(z0)))))))))))))))))))) -> 1(2(3(3(0(1(3(3(0(1(0(3(3(3(0(2(0(2(1(3(z0))))))))))))))))))))
   0(c_3(c_0(c_2(c_0(c_1(c_3(c_0(c_1(c_2(c_3(c_2(c_1(c_1(c_0(c_0(c_3(c_3(c_2(c_3(z0)))))))))))))))))))) -> 0(3(3(2(2(3(2(3(2(0(0(2(3(3(3(3(3(0(1(0(z0))))))))))))))))))))
   0(c_3(c_2(c_2(c_2(c_3(c_2(c_2(c_3(c_1(c_3(c_0(c_3(c_2(c_3(c_0(c_3(c_3(c_1(c_3(z0)))))))))))))))))))) -> 3(0(3(3(3(3(3(2(3(3(3(1(0(0(3(2(0(2(2(1(z0))))))))))))))))))))
   0(c_0(c_3(c_1(c_0(c_2(c_0(c_3(c_1(c_0(c_0(c_3(c_0(c_0(c_0(c_3(c_2(c_0(c_2(c_3(z0)))))))))))))))))))) -> 0(0(1(0(2(1(3(0(1(0(0(3(1(0(3(3(2(2(3(3(z0))))))))))))))))))))
   0(c_0(c_0(c_1(c_1(c_0(c_3(c_3(c_3(c_3(c_0(c_1(c_0(c_2(c_2(c_1(c_3(c_2(c_0(c_0(z0)))))))))))))))))))) -> 0(0(1(3(3(0(1(3(3(0(1(2(3(2(2(0(3(2(3(3(z0))))))))))))))))))))
   0(c_1(c_3(c_1(c_2(c_1(c_3(c_1(c_3(c_3(c_1(c_2(c_2(c_1(c_0(c_3(c_2(c_1(c_1(c_1(z0)))))))))))))))))))) -> 0(0(2(0(0(3(3(1(1(1(1(3(0(1(1(0(0(2(1(2(z0))))))))))))))))))))
   0(c_0(c_3(c_2(c_0(c_3(c_3(c_2(c_0(c_2(c_1(c_3(c_3(c_3(c_2(c_2(c_3(c_1(c_2(c_3(z0)))))))))))))))))))) -> 3(1(3(0(1(0(0(0(1(1(3(0(2(2(1(2(3(1(0(3(z0))))))))))))))))))))
   0(c_2(c_2(c_1(c_1(c_2(c_0(c_1(c_1(c_0(c_0(c_1(c_1(c_2(c_0(c_1(c_0(c_3(c_3(c_3(z0)))))))))))))))))))) -> 3(1(0(1(3(1(0(3(0(3(1(3(2(1(0(1(1(3(1(3(z0))))))))))))))))))))
   0(c_2(c_2(c_2(c_1(c_2(c_2(c_1(c_1(c_1(c_1(c_2(c_3(c_2(c_0(c_3(c_3(c_3(c_3(c_0(z0)))))))))))))))))))) -> 3(1(2(3(3(3(1(0(3(3(2(0(2(2(3(1(1(1(3(1(z0))))))))))))))))))))
   0(c_0(c_3(c_2(c_1(c_2(c_0(c_2(c_3(c_2(c_1(c_0(c_1(c_0(c_3(c_3(c_0(c_0(c_3(c_1(z0)))))))))))))))))))) -> 3(2(3(3(0(3(1(1(0(1(1(1(1(1(3(0(3(3(0(1(z0))))))))))))))))))))
   0(c_1(c_3(c_3(c_0(c_0(c_2(c_2(c_3(c_2(c_0(c_0(c_0(c_1(c_2(c_0(c_3(c_2(c_1(c_3(z0)))))))))))))))))))) -> 0(0(3(0(0(0(2(1(0(0(1(2(0(0(3(3(3(3(1(0(z0))))))))))))))))))))
   0(c_0(c_3(c_0(c_1(c_3(c_1(c_2(c_1(c_1(c_3(c_0(c_0(c_1(c_3(c_0(c_1(c_2(c_1(c_3(z0)))))))))))))))))))) -> 2(3(1(2(3(2(3(3(0(2(3(3(0(0(0(2(1(2(3(3(z0))))))))))))))))))))
   0(c_2(c_2(c_3(c_3(c_0(c_0(c_3(c_3(c_1(c_3(c_0(c_3(c_2(c_2(c_1(c_1(c_2(c_3(c_3(z0)))))))))))))))))))) -> 1(3(3(3(0(1(0(0(3(0(1(3(3(3(3(0(2(3(2(3(z0))))))))))))))))))))
   0(c_0(c_1(c_2(c_2(c_1(c_3(c_3(c_2(c_2(c_1(c_2(c_0(c_2(c_3(c_0(c_0(c_1(c_3(c_3(z0)))))))))))))))))))) -> 3(0(1(2(1(2(0(2(2(1(3(2(2(3(3(3(3(3(3(3(z0))))))))))))))))))))
   0(c_1(c_3(c_1(c_0(c_1(c_3(c_3(c_1(c_3(c_1(c_2(c_2(c_0(c_0(c_1(c_3(c_3(c_0(c_0(z0)))))))))))))))))))) -> 1(1(1(3(1(3(0(2(3(2(3(0(2(3(3(2(3(3(0(3(z0))))))))))))))))))))
   0(c_0(c_0(c_0(c_1(c_0(c_2(c_3(c_1(c_3(c_0(c_2(c_0(c_1(c_0(c_2(c_1(c_2(c_3(c_3(z0)))))))))))))))))))) -> 0(0(0(2(2(1(3(3(3(0(3(3(1(3(1(1(1(1(3(3(z0))))))))))))))))))))
   0(c_2(c_1(c_3(c_0(c_0(c_0(c_3(c_2(c_0(c_1(c_1(c_0(c_0(c_0(c_2(c_2(c_3(c_1(c_3(z0)))))))))))))))))))) -> 3(3(0(3(0(3(3(0(1(1(0(1(0(2(0(2(3(1(2(3(z0))))))))))))))))))))
   0(c_3(c_1(c_0(c_0(c_3(c_1(c_2(c_2(c_1(c_0(c_0(c_0(c_3(c_0(c_1(c_2(c_0(c_3(c_3(z0)))))))))))))))))))) -> 0(2(3(2(3(3(1(0(0(0(3(1(1(0(2(0(0(0(3(3(z0))))))))))))))))))))
   0(c_0(c_0(c_3(c_1(c_3(c_2(c_1(c_3(c_3(c_3(c_2(c_2(c_3(c_1(c_3(c_0(c_3(c_2(c_3(z0)))))))))))))))))))) -> 0(3(3(2(0(1(2(3(0(0(2(2(1(3(3(3(2(3(3(3(z0))))))))))))))))))))
   0(c_0(c_2(c_0(c_2(c_3(c_0(c_0(c_1(c_1(c_3(c_1(c_3(c_0(c_0(c_3(c_0(c_3(c_0(c_1(z0)))))))))))))))))))) -> 1(3(0(1(3(0(3(0(3(0(1(0(2(3(0(2(0(0(0(2(z0))))))))))))))))))))
   0(c_1(c_3(c_1(c_0(c_2(c_0(c_2(c_2(c_2(c_1(c_2(c_0(c_1(c_3(c_3(c_0(c_3(c_0(c_3(z0)))))))))))))))))))) -> 3(2(1(0(3(2(3(0(0(0(1(3(0(0(3(3(3(1(3(2(z0))))))))))))))))))))
   0(c_2(c_2(c_2(c_1(c_3(c_2(c_1(c_2(c_1(c_3(c_0(c_2(c_3(c_2(c_1(c_0(c_0(c_1(c_3(z0)))))))))))))))))))) -> 0(1(0(2(0(0(0(0(0(3(0(0(0(2(3(2(2(3(3(0(z0))))))))))))))))))))
   0(c_2(c_1(c_3(c_2(c_0(c_2(c_1(c_0(c_1(c_0(c_3(c_0(c_1(c_1(c_1(c_3(c_3(c_3(c_0(z0)))))))))))))))))))) -> 3(0(2(1(3(3(3(3(1(3(2(2(1(0(0(0(3(0(1(1(z0))))))))))))))))))))
   1(z0) -> c_1(z0)
   1(c_1(c_3(c_2(c_1(c_1(c_0(c_0(c_2(c_2(c_3(c_1(c_1(c_1(c_0(c_3(c_3(c_0(c_3(c_3(z0)))))))))))))))))))) -> 0(2(2(3(3(0(2(0(0(0(1(0(2(3(3(0(3(0(1(3(z0))))))))))))))))))))
   1(c_1(c_0(c_2(c_0(c_1(c_3(c_3(c_1(c_1(c_1(c_0(c_1(c_3(c_3(c_3(c_1(c_0(c_1(c_2(z0)))))))))))))))))))) -> 1(0(2(1(2(1(2(3(2(0(3(3(3(3(3(0(0(2(0(0(z0))))))))))))))))))))
   1(c_3(c_1(c_3(c_1(c_3(c_3(c_1(c_3(c_2(c_3(c_0(c_3(c_2(c_2(c_3(c_0(c_3(c_0(c_3(z0)))))))))))))))))))) -> 0(3(2(3(3(3(0(0(0(1(0(3(1(2(3(2(3(0(0(3(z0))))))))))))))))))))
   1(c_0(c_3(c_0(c_0(c_1(c_1(c_1(c_3(c_3(c_0(c_1(c_0(c_0(c_3(c_1(c_1(c_3(c_2(c_3(z0)))))))))))))))))))) -> 3(2(3(3(3(3(3(0(1(3(0(3(1(2(0(3(3(3(1(2(z0))))))))))))))))))))
   1(c_1(c_3(c_3(c_0(c_1(c_3(c_0(c_2(c_1(c_2(c_0(c_2(c_1(c_1(c_1(c_0(c_2(c_2(c_3(z0)))))))))))))))))))) -> 1(3(3(3(2(1(3(3(0(2(0(3(1(2(0(3(0(3(2(0(z0))))))))))))))))))))
   1(c_1(c_0(c_1(c_1(c_3(c_2(c_0(c_3(c_0(c_2(c_3(c_0(c_0(c_0(c_0(c_2(c_0(c_2(c_3(z0)))))))))))))))))))) -> 1(2(3(0(3(0(2(1(0(2(0(3(1(3(0(3(3(2(2(3(z0))))))))))))))))))))
   1(c_1(c_1(c_3(c_2(c_3(c_3(c_3(c_1(c_1(c_0(c_1(c_0(c_0(c_0(c_0(c_0(c_0(c_2(c_3(z0)))))))))))))))))))) -> 1(3(0(0(0(3(1(0(1(1(3(1(0(0(3(1(2(0(3(3(z0))))))))))))))))))))
   1(c_1(c_1(c_3(c_0(c_1(c_0(c_1(c_2(c_2(c_1(c_0(c_2(c_2(c_2(c_3(c_1(c_0(c_3(c_3(z0)))))))))))))))))))) -> 2(2(0(0(3(3(1(2(1(3(3(0(2(3(2(2(1(2(3(3(z0))))))))))))))))))))
   1(c_0(c_0(c_0(c_3(c_3(c_3(c_1(c_1(c_3(c_2(c_0(c_3(c_1(c_2(c_0(c_1(c_1(c_2(c_3(z0)))))))))))))))))))) -> 3(1(3(1(3(3(3(2(2(0(0(3(0(1(3(0(0(2(0(0(z0))))))))))))))))))))
   1(c_0(c_2(c_3(c_0(c_2(c_1(c_2(c_0(c_3(c_0(c_1(c_3(c_3(c_0(c_3(c_0(c_1(c_2(c_2(z0)))))))))))))))))))) -> 0(2(2(0(1(1(3(0(1(1(3(3(0(3(3(0(3(1(3(1(z0))))))))))))))))))))
   1(c_1(c_0(c_1(c_0(c_1(c_2(c_0(c_3(c_0(c_2(c_2(c_3(c_3(c_0(c_2(c_2(c_3(c_1(c_3(z0)))))))))))))))))))) -> 1(1(1(0(2(3(3(0(3(1(3(0(2(1(1(0(3(2(3(3(z0))))))))))))))))))))
   1(c_2(c_3(c_0(c_0(c_3(c_0(c_2(c_0(c_1(c_0(c_1(c_1(c_1(c_3(c_3(c_2(c_1(c_2(c_3(z0)))))))))))))))))))) -> 2(3(3(3(0(1(1(3(3(3(0(1(2(3(0(0(2(2(0(0(z0))))))))))))))))))))
   1(c_3(c_1(c_2(c_0(c_3(c_0(c_0(c_2(c_1(c_0(c_3(c_0(c_3(c_2(c_1(c_3(c_3(c_2(c_3(z0)))))))))))))))))))) -> 0(3(1(1(3(0(1(1(2(3(0(1(0(0(1(0(3(3(0(0(z0))))))))))))))))))))
   1(c_2(c_1(c_2(c_2(c_3(c_0(c_3(c_0(c_1(c_2(c_3(c_3(c_3(c_0(c_0(c_3(c_1(c_1(c_3(z0)))))))))))))))))))) -> 2(3(3(0(1(0(3(2(3(3(1(0(0(0(1(0(0(2(3(3(z0))))))))))))))))))))
   1(c_0(c_3(c_2(c_0(c_1(c_2(c_3(c_0(c_3(c_3(c_0(c_2(c_3(c_3(c_2(c_1(c_1(c_1(c_3(z0)))))))))))))))))))) -> 2(2(1(3(3(3(3(0(3(0(3(3(3(0(0(3(3(0(0(0(z0))))))))))))))))))))
   2(z0) -> c_2(z0)
   2(c_1(c_1(c_0(c_2(c_3(c_0(c_2(c_3(c_3(c_3(c_2(c_1(c_2(c_3(c_1(c_0(c_2(c_3(c_2(z0)))))))))))))))))))) -> 1(3(3(3(0(1(2(1(1(3(3(0(3(0(2(2(2(2(1(1(z0))))))))))))))))))))
   2(c_3(c_1(c_3(c_3(c_3(c_2(c_0(c_1(c_2(c_0(c_0(c_2(c_3(c_3(c_0(c_0(c_1(c_1(c_2(z0)))))))))))))))))))) -> 0(2(0(2(1(3(3(0(2(1(0(3(2(3(0(2(2(1(3(3(z0))))))))))))))))))))
   2(c_3(c_2(c_2(c_2(c_3(c_0(c_0(c_3(c_2(c_1(c_0(c_3(c_0(c_2(c_2(c_0(c_0(c_1(c_1(z0)))))))))))))))))))) -> 0(3(1(3(0(1(2(0(1(2(0(3(1(3(2(1(0(3(0(0(z0))))))))))))))))))))
   2(c_2(c_3(c_3(c_0(c_2(c_3(c_0(c_0(c_1(c_1(c_0(c_0(c_0(c_2(c_2(c_2(c_3(c_1(c_2(z0)))))))))))))))))))) -> 0(3(0(3(2(0(1(0(1(2(0(3(3(0(2(2(3(0(3(2(z0))))))))))))))))))))
   2(c_2(c_0(c_1(c_3(c_3(c_3(c_3(c_1(c_1(c_0(c_3(c_1(c_2(c_0(c_0(c_3(c_1(c_2(c_3(z0)))))))))))))))))))) -> 0(3(3(0(3(3(2(3(0(1(0(1(3(3(3(2(3(2(1(3(z0))))))))))))))))))))
   2(c_1(c_3(c_1(c_3(c_3(c_1(c_2(c_2(c_2(c_0(c_1(c_3(c_0(c_3(c_3(c_2(c_2(c_0(c_3(z0)))))))))))))))))))) -> 2(2(0(1(3(3(1(2(0(0(0(3(3(0(1(3(1(3(0(3(z0))))))))))))))))))))
   2(c_1(c_3(c_1(c_2(c_2(c_0(c_0(c_2(c_2(c_2(c_2(c_3(c_0(c_3(c_0(c_1(c_3(c_1(c_3(z0)))))))))))))))))))) -> 3(0(2(0(3(3(2(2(3(3(0(2(3(2(1(0(0(2(1(3(z0))))))))))))))))))))
   2(c_0(c_3(c_1(c_0(c_1(c_3(c_1(c_1(c_3(c_2(c_2(c_3(c_2(c_2(c_0(c_1(c_3(c_1(c_3(z0)))))))))))))))))))) -> 3(0(0(0(2(0(1(0(1(0(0(1(0(0(3(1(0(1(3(3(z0))))))))))))))))))))
   2(c_1(c_1(c_2(c_3(c_2(c_1(c_2(c_3(c_2(c_0(c_0(c_2(c_3(c_3(c_0(c_2(c_1(c_3(c_3(z0)))))))))))))))))))) -> 0(1(0(0(3(0(1(0(3(0(1(1(1(3(3(3(0(0(3(3(z0))))))))))))))))))))
   2(c_0(c_3(c_1(c_3(c_0(c_1(c_2(c_3(c_2(c_1(c_0(c_3(c_0(c_0(c_3(c_3(c_0(c_0(c_0(z0)))))))))))))))))))) -> 2(3(1(3(1(3(0(1(3(0(0(1(3(3(3(0(0(1(0(2(z0))))))))))))))))))))
   2(c_1(c_0(c_3(c_0(c_0(c_2(c_2(c_3(c_1(c_0(c_0(c_0(c_0(c_3(c_1(c_3(c_0(c_3(c_3(z0)))))))))))))))))))) -> 1(2(2(0(0(2(3(3(3(0(3(0(1(3(1(3(2(3(3(3(z0))))))))))))))))))))
   2(c_1(c_0(c_1(c_1(c_3(c_1(c_3(c_0(c_1(c_3(c_2(c_0(c_3(c_1(c_0(c_0(c_0(c_1(c_3(z0)))))))))))))))))))) -> 0(0(1(2(1(3(3(3(0(2(0(2(1(3(3(0(3(2(1(3(z0))))))))))))))))))))
   2(c_2(c_1(c_0(c_1(c_0(c_2(c_3(c_1(c_2(c_1(c_2(c_2(c_1(c_3(c_3(c_0(c_3(c_1(c_3(z0)))))))))))))))))))) -> 2(2(0(0(3(3(3(1(1(0(0(3(3(2(1(1(0(2(2(3(z0))))))))))))))))))))
   2(c_0(c_0(c_3(c_3(c_1(c_2(c_3(c_2(c_2(c_3(c_3(c_2(c_1(c_1(c_2(c_0(c_1(c_3(c_3(z0)))))))))))))))))))) -> 2(2(3(3(0(1(0(3(0(0(0(1(1(3(1(0(2(2(0(3(z0))))))))))))))))))))
   2(c_2(c_3(c_2(c_2(c_2(c_3(c_3(c_0(c_0(c_0(c_1(c_0(c_3(c_0(c_3(c_0(c_1(c_0(c_1(z0)))))))))))))))))))) -> 2(2(2(3(2(1(3(0(3(3(3(0(2(3(3(1(2(0(3(3(z0))))))))))))))))))))
   2(c_3(c_2(c_3(c_1(c_0(c_0(c_1(c_0(c_2(c_0(c_0(c_1(c_3(c_3(c_1(c_0(c_0(c_0(c_0(z0)))))))))))))))))))) -> 1(2(0(3(3(3(0(2(2(0(1(0(0(1(2(2(1(3(3(0(z0))))))))))))))))))))
   2(c_3(c_2(c_3(c_0(c_3(c_0(c_3(c_3(c_3(c_0(c_1(c_1(c_1(c_0(c_3(c_1(c_2(c_1(c_1(z0)))))))))))))))))))) -> 0(3(1(3(1(3(1(3(0(1(0(0(3(3(3(2(0(2(3(2(z0))))))))))))))))))))
   2(c_0(c_2(c_0(c_0(c_3(c_1(c_0(c_0(c_2(c_3(c_3(c_1(c_0(c_3(c_2(c_1(c_0(c_0(c_3(z0)))))))))))))))))))) -> 1(3(0(1(2(0(2(2(3(1(3(3(3(3(3(3(0(3(0(3(z0))))))))))))))))))))
   2(c_2(c_3(c_1(c_1(c_1(c_1(c_3(c_1(c_3(c_1(c_1(c_0(c_0(c_0(c_0(c_3(c_1(c_2(c_3(z0)))))))))))))))))))) -> 3(2(0(0(0(1(3(1(3(3(1(3(0(0(2(3(0(1(1(1(z0))))))))))))))))))))
   2(c_1(c_0(c_1(c_3(c_3(c_1(c_0(c_2(c_3(c_0(c_0(c_0(c_2(c_3(c_1(c_0(c_0(c_3(c_3(z0)))))))))))))))))))) -> 2(0(1(3(2(1(3(1(3(1(1(3(3(1(3(3(0(0(3(3(z0))))))))))))))))))))
   2(c_1(c_1(c_3(c_3(c_1(c_0(c_2(c_2(c_2(c_2(c_2(c_3(c_0(c_1(c_0(c_2(c_2(c_3(c_3(z0)))))))))))))))))))) -> 0(3(0(3(1(3(0(3(3(1(3(3(0(3(1(3(3(0(3(1(z0))))))))))))))))))))
   2(c_2(c_3(c_3(c_2(c_2(c_2(c_2(c_3(c_0(c_2(c_3(c_0(c_2(c_0(c_1(c_1(c_3(c_3(c_1(z0)))))))))))))))))))) -> 2(2(2(0(0(1(0(0(1(3(3(3(3(3(2(1(0(0(0(3(z0))))))))))))))))))))
   2(c_1(c_3(c_3(c_1(c_1(c_3(c_2(c_1(c_3(c_3(c_1(c_1(c_0(c_2(c_2(c_3(c_0(c_0(c_0(z0)))))))))))))))))))) -> 2(0(0(0(1(0(0(3(1(1(1(3(0(0(3(0(1(3(3(2(z0))))))))))))))))))))
   2(c_1(c_1(c_0(c_3(c_0(c_1(c_2(c_3(c_3(c_1(c_1(c_1(c_3(c_0(c_0(c_3(c_1(c_3(c_0(z0)))))))))))))))))))) -> 2(2(0(3(2(0(0(1(2(1(1(3(1(3(3(0(3(3(3(0(z0))))))))))))))))))))
   2(c_0(c_1(c_0(c_1(c_3(c_2(c_3(c_0(c_0(c_2(c_1(c_0(c_2(c_0(c_3(c_1(c_0(c_2(c_3(z0)))))))))))))))))))) -> 3(3(3(0(3(3(2(3(1(3(1(3(3(0(3(3(0(2(1(0(z0))))))))))))))))))))
   2(c_0(c_3(c_1(c_3(c_3(c_3(c_1(c_2(c_3(c_0(c_1(c_2(c_2(c_3(c_2(c_1(c_0(c_3(c_1(z0)))))))))))))))))))) -> 1(0(3(3(1(3(0(1(2(3(0(1(0(3(3(0(3(2(1(1(z0))))))))))))))))))))
   2(c_3(c_0(c_3(c_3(c_2(c_3(c_0(c_1(c_3(c_2(c_2(c_3(c_3(c_0(c_2(c_2(c_0(c_1(c_2(z0)))))))))))))))))))) -> 2(0(1(3(0(2(2(3(2(0(3(3(2(0(3(1(0(3(0(2(z0))))))))))))))))))))
   2(c_3(c_2(c_2(c_0(c_3(c_3(c_1(c_1(c_1(c_3(c_0(c_0(c_1(c_0(c_0(c_2(c_3(c_0(c_3(z0)))))))))))))))))))) -> 2(3(1(1(0(3(2(2(1(3(0(3(3(2(0(0(1(1(3(3(z0))))))))))))))))))))
   2(c_0(c_1(c_0(c_2(c_2(c_0(c_3(c_0(c_2(c_2(c_3(c_3(c_2(c_1(c_3(c_0(c_2(c_3(c_1(z0)))))))))))))))))))) -> 2(3(3(0(3(0(0(2(3(3(1(1(3(3(0(1(2(3(2(0(z0))))))))))))))))))))
   2(c_0(c_0(c_2(c_1(c_2(c_1(c_1(c_3(c_0(c_2(c_3(c_2(c_1(c_3(c_3(c_1(c_3(c_2(c_3(z0)))))))))))))))))))) -> 2(2(3(1(1(0(1(0(1(1(0(1(0(3(3(1(3(3(3(1(z0))))))))))))))))))))
   2(c_1(c_1(c_1(c_0(c_1(c_3(c_1(c_0(c_3(c_2(c_3(c_0(c_0(c_0(c_3(c_1(c_1(c_0(c_3(z0)))))))))))))))))))) -> 1(1(1(0(1(1(2(0(2(1(0(0(3(3(0(2(0(3(0(3(z0))))))))))))))))))))
   2(c_1(c_3(c_1(c_3(c_3(c_1(c_1(c_1(c_1(c_1(c_1(c_0(c_2(c_3(c_2(c_3(c_0(c_0(c_3(z0)))))))))))))))))))) -> 1(3(0(0(2(0(0(2(0(3(2(2(0(1(3(3(3(0(0(3(z0))))))))))))))))))))
   2(c_1(c_0(c_3(c_0(c_2(c_0(c_2(c_1(c_3(c_3(c_3(c_1(c_1(c_1(c_0(c_0(c_3(c_3(c_2(z0)))))))))))))))))))) -> 2(2(1(3(0(0(1(3(0(3(3(0(3(3(1(0(1(1(0(1(z0))))))))))))))))))))
   2(c_3(c_1(c_2(c_0(c_3(c_2(c_0(c_2(c_3(c_3(c_0(c_2(c_0(c_0(c_1(c_0(c_1(c_0(c_3(z0)))))))))))))))))))) -> 0(3(1(3(0(3(3(0(1(0(0(3(2(0(0(0(3(3(2(3(z0))))))))))))))))))))
   2(c_2(c_3(c_2(c_0(c_0(c_3(c_0(c_3(c_3(c_2(c_2(c_2(c_0(c_2(c_3(c_3(c_3(c_3(c_2(z0)))))))))))))))))))) -> 1(0(3(1(2(3(3(2(3(3(3(3(0(1(3(1(0(3(0(3(z0))))))))))))))))))))
   2(c_2(c_3(c_3(c_0(c_2(c_2(c_0(c_1(c_3(c_1(c_3(c_3(c_0(c_3(c_2(c_2(c_2(c_1(c_2(z0)))))))))))))))))))) -> 2(0(0(0(3(0(3(1(3(2(0(0(1(1(3(0(0(3(2(3(z0))))))))))))))))))))
   3(z0) -> c_3(z0)
   3(c_3(c_0(c_2(c_2(c_3(c_3(c_1(c_2(c_2(c_0(c_0(c_3(c_2(c_0(c_2(c_1(c_0(c_3(c_3(z0)))))))))))))))))))) -> 1(0(2(1(1(3(2(1(1(3(0(3(3(1(1(3(1(3(3(3(z0))))))))))))))))))))
   3(c_3(c_1(c_0(c_3(c_1(c_0(c_3(c_1(c_1(c_3(c_3(c_1(c_3(c_0(c_2(c_2(c_3(c_1(c_1(z0)))))))))))))))))))) -> 0(0(3(0(2(1(3(3(0(0(3(2(0(0(3(0(2(2(0(0(z0))))))))))))))))))))
   3(c_3(c_2(c_1(c_3(c_1(c_3(c_0(c_2(c_0(c_3(c_1(c_2(c_1(c_3(c_2(c_1(c_3(c_2(c_3(z0)))))))))))))))))))) -> 2(3(3(2(2(2(0(3(1(2(3(3(3(3(0(1(3(2(0(3(z0))))))))))))))))))))
   3(c_0(c_1(c_0(c_1(c_2(c_3(c_2(c_1(c_1(c_0(c_1(c_1(c_3(c_0(c_3(c_3(c_2(c_1(c_3(z0)))))))))))))))))))) -> 0(3(0(0(2(3(0(2(2(1(0(1(2(0(1(3(1(3(1(3(z0))))))))))))))))))))
   3(c_3(c_0(c_3(c_3(c_0(c_1(c_2(c_1(c_1(c_0(c_3(c_3(c_0(c_2(c_0(c_0(c_2(c_2(c_1(z0)))))))))))))))))))) -> 3(3(3(3(1(3(3(1(1(3(1(2(3(3(3(2(2(0(2(1(z0))))))))))))))))))))
   3(c_0(c_3(c_3(c_3(c_3(c_1(c_3(c_2(c_0(c_1(c_0(c_1(c_0(c_3(c_3(c_0(c_0(c_1(c_1(z0)))))))))))))))))))) -> 3(3(2(3(3(3(2(3(3(0(1(1(0(3(3(3(0(3(3(0(z0))))))))))))))))))))
   3(c_1(c_0(c_1(c_1(c_1(c_3(c_1(c_0(c_0(c_0(c_2(c_1(c_0(c_1(c_2(c_0(c_0(c_0(c_3(z0)))))))))))))))))))) -> 0(3(0(2(2(0(1(0(1(0(0(2(2(3(2(3(0(1(0(3(z0))))))))))))))))))))
   3(c_3(c_0(c_2(c_3(c_3(c_0(c_1(c_3(c_0(c_0(c_1(c_2(c_2(c_2(c_2(c_3(c_3(c_2(c_1(z0)))))))))))))))))))) -> 3(1(3(3(1(0(3(0(3(0(2(3(3(1(0(1(0(3(1(0(z0))))))))))))))))))))
   3(c_1(c_2(c_3(c_2(c_2(c_2(c_3(c_3(c_0(c_1(c_3(c_0(c_1(c_1(c_1(c_0(c_0(c_0(c_3(z0)))))))))))))))))))) -> 1(2(1(3(1(3(3(3(3(2(1(1(2(3(0(0(3(3(0(0(z0))))))))))))))))))))
   3(c_1(c_1(c_3(c_2(c_3(c_3(c_3(c_1(c_0(c_1(c_2(c_0(c_3(c_0(c_0(c_0(c_1(c_2(c_3(z0)))))))))))))))))))) -> 3(3(3(0(3(3(1(0(2(3(0(0(2(2(3(3(0(3(2(0(z0))))))))))))))))))))
   3(c_0(c_2(c_1(c_2(c_1(c_3(c_1(c_3(c_0(c_3(c_1(c_3(c_0(c_2(c_0(c_2(c_0(c_3(c_2(z0)))))))))))))))))))) -> 2(2(3(1(3(1(3(3(1(3(3(0(0(2(1(2(3(3(3(2(z0))))))))))))))))))))
   3(c_0(c_2(c_2(c_1(c_1(c_0(c_1(c_1(c_1(c_3(c_0(c_3(c_1(c_3(c_2(c_1(c_3(c_3(c_0(z0)))))))))))))))))))) -> 0(0(0(0(1(3(3(1(1(3(1(3(0(1(0(3(3(1(1(3(z0))))))))))))))))))))
   3(c_1(c_3(c_0(c_2(c_1(c_1(c_2(c_0(c_3(c_2(c_2(c_1(c_3(c_1(c_1(c_2(c_2(c_3(c_3(z0)))))))))))))))))))) -> 1(0(0(1(3(0(1(1(2(0(3(3(3(3(0(0(3(0(3(2(z0))))))))))))))))))))
   3(c_0(c_2(c_0(c_2(c_0(c_1(c_1(c_3(c_0(c_0(c_3(c_0(c_0(c_2(c_0(c_0(c_3(c_2(c_3(z0)))))))))))))))))))) -> 0(3(2(2(0(3(3(3(1(1(0(0(3(0(2(2(1(1(3(3(z0))))))))))))))))))))
   3(c_0(c_0(c_1(c_1(c_1(c_3(c_3(c_3(c_0(c_2(c_2(c_1(c_3(c_1(c_2(c_3(c_1(c_1(c_0(z0)))))))))))))))))))) -> 1(3(0(2(1(3(3(2(0(2(3(1(3(0(3(0(0(2(1(0(z0))))))))))))))))))))
   3(c_0(c_3(c_2(c_1(c_3(c_0(c_3(c_3(c_0(c_3(c_3(c_0(c_3(c_0(c_3(c_1(c_0(c_0(c_1(z0)))))))))))))))))))) -> 3(3(3(3(2(3(0(1(0(0(0(3(3(1(3(3(3(1(1(2(z0))))))))))))))))))))
   3(c_3(c_1(c_0(c_1(c_3(c_0(c_0(c_3(c_1(c_2(c_1(c_0(c_0(c_3(c_0(c_1(c_0(c_3(c_1(z0)))))))))))))))))))) -> 1(3(3(3(3(2(3(2(2(0(3(1(0(0(1(3(0(3(3(1(z0))))))))))))))))))))
   3(c_3(c_3(c_3(c_1(c_1(c_3(c_2(c_3(c_0(c_3(c_3(c_0(c_3(c_2(c_1(c_0(c_0(c_2(c_2(z0)))))))))))))))))))) -> 3(3(0(3(0(0(3(3(3(1(3(1(1(0(3(0(2(0(1(2(z0))))))))))))))))))))
   3(c_2(c_3(c_0(c_1(c_3(c_2(c_2(c_0(c_1(c_1(c_3(c_3(c_3(c_1(c_2(c_3(c_1(c_1(c_0(z0)))))))))))))))))))) -> 0(0(0(0(3(2(3(1(1(1(0(1(0(0(3(3(0(2(3(1(z0))))))))))))))))))))
   3(c_0(c_3(c_2(c_2(c_2(c_3(c_1(c_3(c_0(c_2(c_1(c_0(c_1(c_0(c_2(c_2(c_3(c_3(c_1(z0)))))))))))))))))))) -> 2(3(0(0(3(1(2(0(3(3(0(0(0(3(3(3(1(0(2(2(z0))))))))))))))))))))
   3(c_2(c_0(c_3(c_3(c_1(c_3(c_2(c_3(c_0(c_3(c_2(c_3(c_1(c_3(c_0(c_2(c_1(c_3(c_0(z0)))))))))))))))))))) -> 3(3(3(0(2(3(3(0(2(0(3(3(3(3(1(0(0(1(3(0(z0))))))))))))))))))))
Tuples:
   ENCARG(cons_0(z0)) -> c(0'(encArg(z0)), ENCARG(z0))
   ENCARG(cons_1(z0)) -> c1(1'(encArg(z0)), ENCARG(z0))
   ENCARG(cons_2(z0)) -> c2(2'(encArg(z0)), ENCARG(z0))
   ENCARG(cons_3(z0)) -> c3(3'(encArg(z0)), ENCARG(z0))
   ENCODE_0(z0) -> c4(0'(encArg(z0)), ENCARG(z0))
   ENCODE_1(z0) -> c5(1'(encArg(z0)), ENCARG(z0))
   ENCODE_2(z0) -> c6(2'(encArg(z0)), ENCARG(z0))
   ENCODE_3(z0) -> c7(3'(encArg(z0)), ENCARG(z0))
   0'(c_1(c_1(c_1(c_0(c_0(c_0(c_0(c_0(c_0(c_3(c_0(c_1(c_0(c_1(c_0(c_2(c_0(c_3(c_1(z0)))))))))))))))))))) -> c9(1'(0(2(1(3(0(1(0(2(3(0(0(3(3(0(1(0(0(1(0(z0)))))))))))))))))))), 0'(2(1(3(0(1(0(2(3(0(0(3(3(0(1(0(0(1(0(z0))))))))))))))))))), 2'(1(3(0(1(0(2(3(0(0(3(3(0(1(0(0(1(0(z0)))))))))))))))))), 1'(3(0(1(0(2(3(0(0(3(3(0(1(0(0(1(0(z0))))))))))))))))), 3'(0(1(0(2(3(0(0(3(3(0(1(0(0(1(0(z0)))))))))))))))), 0'(1(0(2(3(0(0(3(3(0(1(0(0(1(0(z0))))))))))))))), 1'(0(2(3(0(0(3(3(0(1(0(0(1(0(z0)))))))))))))), 0'(2(3(0(0(3(3(0(1(0(0(1(0(z0))))))))))))), 2'(3(0(0(3(3(0(1(0(0(1(0(z0)))))))))))), 3'(0(0(3(3(0(1(0(0(1(0(z0))))))))))), 0'(0(3(3(0(1(0(0(1(0(z0)))))))))), 0'(3(3(0(1(0(0(1(0(z0))))))))), 3'(3(0(1(0(0(1(0(z0)))))))), 3'(0(1(0(0(1(0(z0))))))), 0'(1(0(0(1(0(z0)))))), 1'(0(0(1(0(z0))))), 0'(0(1(0(z0)))), 0'(1(0(z0))), 1'(0(z0)), 0'(z0))
   0'(c_0(c_1(c_2(c_3(c_0(c_1(c_0(c_3(c_0(c_3(c_1(c_1(c_1(c_0(c_1(c_3(c_3(c_2(c_3(z0)))))))))))))))))))) -> c10(3'(0(3(1(1(0(2(3(0(3(3(1(3(1(0(3(0(1(2(3(z0)))))))))))))))))))), 0'(3(1(1(0(2(3(0(3(3(1(3(1(0(3(0(1(2(3(z0))))))))))))))))))), 3'(1(1(0(2(3(0(3(3(1(3(1(0(3(0(1(2(3(z0)))))))))))))))))), 1'(1(0(2(3(0(3(3(1(3(1(0(3(0(1(2(3(z0))))))))))))))))), 1'(0(2(3(0(3(3(1(3(1(0(3(0(1(2(3(z0)))))))))))))))), 0'(2(3(0(3(3(1(3(1(0(3(0(1(2(3(z0))))))))))))))), 2'(3(0(3(3(1(3(1(0(3(0(1(2(3(z0)))))))))))))), 3'(0(3(3(1(3(1(0(3(0(1(2(3(z0))))))))))))), 0'(3(3(1(3(1(0(3(0(1(2(3(z0)))))))))))), 3'(3(1(3(1(0(3(0(1(2(3(z0))))))))))), 3'(1(3(1(0(3(0(1(2(3(z0)))))))))), 1'(3(1(0(3(0(1(2(3(z0))))))))), 3'(1(0(3(0(1(2(3(z0)))))))), 1'(0(3(0(1(2(3(z0))))))), 0'(3(0(1(2(3(z0)))))), 3'(0(1(2(3(z0))))), 0'(1(2(3(z0)))), 1'(2(3(z0))), 2'(3(z0)), 3'(z0))
   0'(c_2(c_0(c_3(c_1(c_1(c_3(c_2(c_3(c_3(c_0(c_2(c_2(c_0(c_2(c_3(c_0(c_0(c_2(c_3(z0)))))))))))))))))))) -> c11(0'(0(3(3(2(3(3(3(0(1(1(1(2(2(3(1(3(1(1(3(z0)))))))))))))))))))), 0'(3(3(2(3(3(3(0(1(1(1(2(2(3(1(3(1(1(3(z0))))))))))))))))))), 3'(3(2(3(3(3(0(1(1(1(2(2(3(1(3(1(1(3(z0)))))))))))))))))), 3'(2(3(3(3(0(1(1(1(2(2(3(1(3(1(1(3(z0))))))))))))))))), 2'(3(3(3(0(1(1(1(2(2(3(1(3(1(1(3(z0)))))))))))))))), 3'(3(3(0(1(1(1(2(2(3(1(3(1(1(3(z0))))))))))))))), 3'(3(0(1(1(1(2(2(3(1(3(1(1(3(z0)))))))))))))), 3'(0(1(1(1(2(2(3(1(3(1(1(3(z0))))))))))))), 0'(1(1(1(2(2(3(1(3(1(1(3(z0)))))))))))), 1'(1(1(2(2(3(1(3(1(1(3(z0))))))))))), 1'(1(2(2(3(1(3(1(1(3(z0)))))))))), 1'(2(2(3(1(3(1(1(3(z0))))))))), 2'(2(3(1(3(1(1(3(z0)))))))), 2'(3(1(3(1(1(3(z0))))))), 3'(1(3(1(1(3(z0)))))), 1'(3(1(1(3(z0))))), 3'(1(1(3(z0)))), 1'(1(3(z0))), 1'(3(z0)), 3'(z0))
   0'(c_0(c_1(c_1(c_0(c_1(c_0(c_2(c_3(c_1(c_3(c_3(c_3(c_1(c_2(c_2(c_0(c_0(c_2(c_3(z0)))))))))))))))))))) -> c12(0'(0(3(0(2(1(3(3(1(3(2(3(3(3(2(0(0(1(0(2(z0)))))))))))))))))))), 0'(3(0(2(1(3(3(1(3(2(3(3(3(2(0(0(1(0(2(z0))))))))))))))))))), 3'(0(2(1(3(3(1(3(2(3(3(3(2(0(0(1(0(2(z0)))))))))))))))))), 0'(2(1(3(3(1(3(2(3(3(3(2(0(0(1(0(2(z0))))))))))))))))), 2'(1(3(3(1(3(2(3(3(3(2(0(0(1(0(2(z0)))))))))))))))), 1'(3(3(1(3(2(3(3(3(2(0(0(1(0(2(z0))))))))))))))), 3'(3(1(3(2(3(3(3(2(0(0(1(0(2(z0)))))))))))))), 3'(1(3(2(3(3(3(2(0(0(1(0(2(z0))))))))))))), 1'(3(2(3(3(3(2(0(0(1(0(2(z0)))))))))))), 3'(2(3(3(3(2(0(0(1(0(2(z0))))))))))), 2'(3(3(3(2(0(0(1(0(2(z0)))))))))), 3'(3(3(2(0(0(1(0(2(z0))))))))), 3'(3(2(0(0(1(0(2(z0)))))))), 3'(2(0(0(1(0(2(z0))))))), 2'(0(0(1(0(2(z0)))))), 0'(0(1(0(2(z0))))), 0'(1(0(2(z0)))), 1'(0(2(z0))), 0'(2(z0)), 2'(z0))
   0'(c_1(c_0(c_1(c_1(c_3(c_3(c_0(c_0(c_1(c_3(c_1(c_3(c_0(c_2(c_3(c_0(c_3(c_2(c_3(z0)))))))))))))))))))) -> c13(1'(2(3(3(0(1(3(3(0(1(0(3(3(3(0(2(0(2(1(3(z0)))))))))))))))))))), 2'(3(3(0(1(3(3(0(1(0(3(3(3(0(2(0(2(1(3(z0))))))))))))))))))), 3'(3(0(1(3(3(0(1(0(3(3(3(0(2(0(2(1(3(z0)))))))))))))))))), 3'(0(1(3(3(0(1(0(3(3(3(0(2(0(2(1(3(z0))))))))))))))))), 0'(1(3(3(0(1(0(3(3(3(0(2(0(2(1(3(z0)))))))))))))))), 1'(3(3(0(1(0(3(3(3(0(2(0(2(1(3(z0))))))))))))))), 3'(3(0(1(0(3(3(3(0(2(0(2(1(3(z0)))))))))))))), 3'(0(1(0(3(3(3(0(2(0(2(1(3(z0))))))))))))), 0'(1(0(3(3(3(0(2(0(2(1(3(z0)))))))))))), 1'(0(3(3(3(0(2(0(2(1(3(z0))))))))))), 0'(3(3(3(0(2(0(2(1(3(z0)))))))))), 3'(3(3(0(2(0(2(1(3(z0))))))))), 3'(3(0(2(0(2(1(3(z0)))))))), 3'(0(2(0(2(1(3(z0))))))), 0'(2(0(2(1(3(z0)))))), 2'(0(2(1(3(z0))))), 0'(2(1(3(z0)))), 2'(1(3(z0))), 1'(3(z0)), 3'(z0))
   0'(c_3(c_0(c_2(c_0(c_1(c_3(c_0(c_1(c_2(c_3(c_2(c_1(c_1(c_0(c_0(c_3(c_3(c_2(c_3(z0)))))))))))))))))))) -> c14(0'(3(3(2(2(3(2(3(2(0(0(2(3(3(3(3(3(0(1(0(z0)))))))))))))))))))), 3'(3(2(2(3(2(3(2(0(0(2(3(3(3(3(3(0(1(0(z0))))))))))))))))))), 3'(2(2(3(2(3(2(0(0(2(3(3(3(3(3(0(1(0(z0)))))))))))))))))), 2'(2(3(2(3(2(0(0(2(3(3(3(3(3(0(1(0(z0))))))))))))))))), 2'(3(2(3(2(0(0(2(3(3(3(3(3(0(1(0(z0)))))))))))))))), 3'(2(3(2(0(0(2(3(3(3(3(3(0(1(0(z0))))))))))))))), 2'(3(2(0(0(2(3(3(3(3(3(0(1(0(z0)))))))))))))), 3'(2(0(0(2(3(3(3(3(3(0(1(0(z0))))))))))))), 2'(0(0(2(3(3(3(3(3(0(1(0(z0)))))))))))), 0'(0(2(3(3(3(3(3(0(1(0(z0))))))))))), 0'(2(3(3(3(3(3(0(1(0(z0)))))))))), 2'(3(3(3(3(3(0(1(0(z0))))))))), 3'(3(3(3(3(0(1(0(z0)))))))), 3'(3(3(3(0(1(0(z0))))))), 3'(3(3(0(1(0(z0)))))), 3'(3(0(1(0(z0))))), 3'(0(1(0(z0)))), 0'(1(0(z0))), 1'(0(z0)), 0'(z0))
   0'(c_3(c_2(c_2(c_2(c_3(c_2(c_2(c_3(c_1(c_3(c_0(c_3(c_2(c_3(c_0(c_3(c_3(c_1(c_3(z0)))))))))))))))))))) -> c15(3'(0(3(3(3(3(3(2(3(3(3(1(0(0(3(2(0(2(2(1(z0)))))))))))))))))))), 0'(3(3(3(3(3(2(3(3(3(1(0(0(3(2(0(2(2(1(z0))))))))))))))))))), 3'(3(3(3(3(2(3(3(3(1(0(0(3(2(0(2(2(1(z0)))))))))))))))))), 3'(3(3(3(2(3(3(3(1(0(0(3(2(0(2(2(1(z0))))))))))))))))), 3'(3(3(2(3(3(3(1(0(0(3(2(0(2(2(1(z0)))))))))))))))), 3'(3(2(3(3(3(1(0(0(3(2(0(2(2(1(z0))))))))))))))), 3'(2(3(3(3(1(0(0(3(2(0(2(2(1(z0)))))))))))))), 2'(3(3(3(1(0(0(3(2(0(2(2(1(z0))))))))))))), 3'(3(3(1(0(0(3(2(0(2(2(1(z0)))))))))))), 3'(3(1(0(0(3(2(0(2(2(1(z0))))))))))), 3'(1(0(0(3(2(0(2(2(1(z0)))))))))), 1'(0(0(3(2(0(2(2(1(z0))))))))), 0'(0(3(2(0(2(2(1(z0)))))))), 0'(3(2(0(2(2(1(z0))))))), 3'(2(0(2(2(1(z0)))))), 2'(0(2(2(1(z0))))), 0'(2(2(1(z0)))), 2'(2(1(z0))), 2'(1(z0)), 1'(z0))
   0'(c_0(c_3(c_1(c_0(c_2(c_0(c_3(c_1(c_0(c_0(c_3(c_0(c_0(c_0(c_3(c_2(c_0(c_2(c_3(z0)))))))))))))))))))) -> c16(0'(0(1(0(2(1(3(0(1(0(0(3(1(0(3(3(2(2(3(3(z0)))))))))))))))))))), 0'(1(0(2(1(3(0(1(0(0(3(1(0(3(3(2(2(3(3(z0))))))))))))))))))), 1'(0(2(1(3(0(1(0(0(3(1(0(3(3(2(2(3(3(z0)))))))))))))))))), 0'(2(1(3(0(1(0(0(3(1(0(3(3(2(2(3(3(z0))))))))))))))))), 2'(1(3(0(1(0(0(3(1(0(3(3(2(2(3(3(z0)))))))))))))))), 1'(3(0(1(0(0(3(1(0(3(3(2(2(3(3(z0))))))))))))))), 3'(0(1(0(0(3(1(0(3(3(2(2(3(3(z0)))))))))))))), 0'(1(0(0(3(1(0(3(3(2(2(3(3(z0))))))))))))), 1'(0(0(3(1(0(3(3(2(2(3(3(z0)))))))))))), 0'(0(3(1(0(3(3(2(2(3(3(z0))))))))))), 0'(3(1(0(3(3(2(2(3(3(z0)))))))))), 3'(1(0(3(3(2(2(3(3(z0))))))))), 1'(0(3(3(2(2(3(3(z0)))))))), 0'(3(3(2(2(3(3(z0))))))), 3'(3(2(2(3(3(z0)))))), 3'(2(2(3(3(z0))))), 2'(2(3(3(z0)))), 2'(3(3(z0))), 3'(3(z0)), 3'(z0))
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   3'(c_2(c_3(c_0(c_1(c_3(c_2(c_2(c_0(c_1(c_1(c_3(c_3(c_3(c_1(c_2(c_3(c_1(c_1(c_0(z0)))))))))))))))))))) -> c108(0'(0(0(0(3(2(3(1(1(1(0(1(0(0(3(3(0(2(3(1(z0)))))))))))))))))))), 0'(0(0(3(2(3(1(1(1(0(1(0(0(3(3(0(2(3(1(z0))))))))))))))))))), 0'(0(3(2(3(1(1(1(0(1(0(0(3(3(0(2(3(1(z0)))))))))))))))))), 0'(3(2(3(1(1(1(0(1(0(0(3(3(0(2(3(1(z0))))))))))))))))), 3'(2(3(1(1(1(0(1(0(0(3(3(0(2(3(1(z0)))))))))))))))), 2'(3(1(1(1(0(1(0(0(3(3(0(2(3(1(z0))))))))))))))), 3'(1(1(1(0(1(0(0(3(3(0(2(3(1(z0)))))))))))))), 1'(1(1(0(1(0(0(3(3(0(2(3(1(z0))))))))))))), 1'(1(0(1(0(0(3(3(0(2(3(1(z0)))))))))))), 1'(0(1(0(0(3(3(0(2(3(1(z0))))))))))), 0'(1(0(0(3(3(0(2(3(1(z0)))))))))), 1'(0(0(3(3(0(2(3(1(z0))))))))), 0'(0(3(3(0(2(3(1(z0)))))))), 0'(3(3(0(2(3(1(z0))))))), 3'(3(0(2(3(1(z0)))))), 3'(0(2(3(1(z0))))), 0'(2(3(1(z0)))), 2'(3(1(z0))), 3'(1(z0)), 1'(z0))
   3'(c_0(c_3(c_2(c_2(c_2(c_3(c_1(c_3(c_0(c_2(c_1(c_0(c_1(c_0(c_2(c_2(c_3(c_3(c_1(z0)))))))))))))))))))) -> c109(2'(3(0(0(3(1(2(0(3(3(0(0(0(3(3(3(1(0(2(2(z0)))))))))))))))))))), 3'(0(0(3(1(2(0(3(3(0(0(0(3(3(3(1(0(2(2(z0))))))))))))))))))), 0'(0(3(1(2(0(3(3(0(0(0(3(3(3(1(0(2(2(z0)))))))))))))))))), 0'(3(1(2(0(3(3(0(0(0(3(3(3(1(0(2(2(z0))))))))))))))))), 3'(1(2(0(3(3(0(0(0(3(3(3(1(0(2(2(z0)))))))))))))))), 1'(2(0(3(3(0(0(0(3(3(3(1(0(2(2(z0))))))))))))))), 2'(0(3(3(0(0(0(3(3(3(1(0(2(2(z0)))))))))))))), 0'(3(3(0(0(0(3(3(3(1(0(2(2(z0))))))))))))), 3'(3(0(0(0(3(3(3(1(0(2(2(z0)))))))))))), 3'(0(0(0(3(3(3(1(0(2(2(z0))))))))))), 0'(0(0(3(3(3(1(0(2(2(z0)))))))))), 0'(0(3(3(3(1(0(2(2(z0))))))))), 0'(3(3(3(1(0(2(2(z0)))))))), 3'(3(3(1(0(2(2(z0))))))), 3'(3(1(0(2(2(z0)))))), 3'(1(0(2(2(z0))))), 1'(0(2(2(z0)))), 0'(2(2(z0))), 2'(2(z0)), 2'(z0))
   3'(c_2(c_0(c_3(c_3(c_1(c_3(c_2(c_3(c_0(c_3(c_2(c_3(c_1(c_3(c_0(c_2(c_1(c_3(c_0(z0)))))))))))))))))))) -> c110(3'(3(3(0(2(3(3(0(2(0(3(3(3(3(1(0(0(1(3(0(z0)))))))))))))))))))), 3'(3(0(2(3(3(0(2(0(3(3(3(3(1(0(0(1(3(0(z0))))))))))))))))))), 3'(0(2(3(3(0(2(0(3(3(3(3(1(0(0(1(3(0(z0)))))))))))))))))), 0'(2(3(3(0(2(0(3(3(3(3(1(0(0(1(3(0(z0))))))))))))))))), 2'(3(3(0(2(0(3(3(3(3(1(0(0(1(3(0(z0)))))))))))))))), 3'(3(0(2(0(3(3(3(3(1(0(0(1(3(0(z0))))))))))))))), 3'(0(2(0(3(3(3(3(1(0(0(1(3(0(z0)))))))))))))), 0'(2(0(3(3(3(3(1(0(0(1(3(0(z0))))))))))))), 2'(0(3(3(3(3(1(0(0(1(3(0(z0)))))))))))), 0'(3(3(3(3(1(0(0(1(3(0(z0))))))))))), 3'(3(3(3(1(0(0(1(3(0(z0)))))))))), 3'(3(3(1(0(0(1(3(0(z0))))))))), 3'(3(1(0(0(1(3(0(z0)))))))), 3'(1(0(0(1(3(0(z0))))))), 1'(0(0(1(3(0(z0)))))), 0'(0(1(3(0(z0))))), 0'(1(3(0(z0)))), 1'(3(0(z0))), 3'(0(z0)), 0'(z0))
S tuples:
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   0'(c_0(c_1(c_2(c_3(c_0(c_1(c_0(c_3(c_0(c_3(c_1(c_1(c_1(c_0(c_1(c_3(c_3(c_2(c_3(z0)))))))))))))))))))) -> c10(3'(0(3(1(1(0(2(3(0(3(3(1(3(1(0(3(0(1(2(3(z0)))))))))))))))))))), 0'(3(1(1(0(2(3(0(3(3(1(3(1(0(3(0(1(2(3(z0))))))))))))))))))), 3'(1(1(0(2(3(0(3(3(1(3(1(0(3(0(1(2(3(z0)))))))))))))))))), 1'(1(0(2(3(0(3(3(1(3(1(0(3(0(1(2(3(z0))))))))))))))))), 1'(0(2(3(0(3(3(1(3(1(0(3(0(1(2(3(z0)))))))))))))))), 0'(2(3(0(3(3(1(3(1(0(3(0(1(2(3(z0))))))))))))))), 2'(3(0(3(3(1(3(1(0(3(0(1(2(3(z0)))))))))))))), 3'(0(3(3(1(3(1(0(3(0(1(2(3(z0))))))))))))), 0'(3(3(1(3(1(0(3(0(1(2(3(z0)))))))))))), 3'(3(1(3(1(0(3(0(1(2(3(z0))))))))))), 3'(1(3(1(0(3(0(1(2(3(z0)))))))))), 1'(3(1(0(3(0(1(2(3(z0))))))))), 3'(1(0(3(0(1(2(3(z0)))))))), 1'(0(3(0(1(2(3(z0))))))), 0'(3(0(1(2(3(z0)))))), 3'(0(1(2(3(z0))))), 0'(1(2(3(z0)))), 1'(2(3(z0))), 2'(3(z0)), 3'(z0))
   0'(c_2(c_0(c_3(c_1(c_1(c_3(c_2(c_3(c_3(c_0(c_2(c_2(c_0(c_2(c_3(c_0(c_0(c_2(c_3(z0)))))))))))))))))))) -> c11(0'(0(3(3(2(3(3(3(0(1(1(1(2(2(3(1(3(1(1(3(z0)))))))))))))))))))), 0'(3(3(2(3(3(3(0(1(1(1(2(2(3(1(3(1(1(3(z0))))))))))))))))))), 3'(3(2(3(3(3(0(1(1(1(2(2(3(1(3(1(1(3(z0)))))))))))))))))), 3'(2(3(3(3(0(1(1(1(2(2(3(1(3(1(1(3(z0))))))))))))))))), 2'(3(3(3(0(1(1(1(2(2(3(1(3(1(1(3(z0)))))))))))))))), 3'(3(3(0(1(1(1(2(2(3(1(3(1(1(3(z0))))))))))))))), 3'(3(0(1(1(1(2(2(3(1(3(1(1(3(z0)))))))))))))), 3'(0(1(1(1(2(2(3(1(3(1(1(3(z0))))))))))))), 0'(1(1(1(2(2(3(1(3(1(1(3(z0)))))))))))), 1'(1(1(2(2(3(1(3(1(1(3(z0))))))))))), 1'(1(2(2(3(1(3(1(1(3(z0)))))))))), 1'(2(2(3(1(3(1(1(3(z0))))))))), 2'(2(3(1(3(1(1(3(z0)))))))), 2'(3(1(3(1(1(3(z0))))))), 3'(1(3(1(1(3(z0)))))), 1'(3(1(1(3(z0))))), 3'(1(1(3(z0)))), 1'(1(3(z0))), 1'(3(z0)), 3'(z0))
   0'(c_0(c_1(c_1(c_0(c_1(c_0(c_2(c_3(c_1(c_3(c_3(c_3(c_1(c_2(c_2(c_0(c_0(c_2(c_3(z0)))))))))))))))))))) -> c12(0'(0(3(0(2(1(3(3(1(3(2(3(3(3(2(0(0(1(0(2(z0)))))))))))))))))))), 0'(3(0(2(1(3(3(1(3(2(3(3(3(2(0(0(1(0(2(z0))))))))))))))))))), 3'(0(2(1(3(3(1(3(2(3(3(3(2(0(0(1(0(2(z0)))))))))))))))))), 0'(2(1(3(3(1(3(2(3(3(3(2(0(0(1(0(2(z0))))))))))))))))), 2'(1(3(3(1(3(2(3(3(3(2(0(0(1(0(2(z0)))))))))))))))), 1'(3(3(1(3(2(3(3(3(2(0(0(1(0(2(z0))))))))))))))), 3'(3(1(3(2(3(3(3(2(0(0(1(0(2(z0)))))))))))))), 3'(1(3(2(3(3(3(2(0(0(1(0(2(z0))))))))))))), 1'(3(2(3(3(3(2(0(0(1(0(2(z0)))))))))))), 3'(2(3(3(3(2(0(0(1(0(2(z0))))))))))), 2'(3(3(3(2(0(0(1(0(2(z0)))))))))), 3'(3(3(2(0(0(1(0(2(z0))))))))), 3'(3(2(0(0(1(0(2(z0)))))))), 3'(2(0(0(1(0(2(z0))))))), 2'(0(0(1(0(2(z0)))))), 0'(0(1(0(2(z0))))), 0'(1(0(2(z0)))), 1'(0(2(z0))), 0'(2(z0)), 2'(z0))
   0'(c_1(c_0(c_1(c_1(c_3(c_3(c_0(c_0(c_1(c_3(c_1(c_3(c_0(c_2(c_3(c_0(c_3(c_2(c_3(z0)))))))))))))))))))) -> c13(1'(2(3(3(0(1(3(3(0(1(0(3(3(3(0(2(0(2(1(3(z0)))))))))))))))))))), 2'(3(3(0(1(3(3(0(1(0(3(3(3(0(2(0(2(1(3(z0))))))))))))))))))), 3'(3(0(1(3(3(0(1(0(3(3(3(0(2(0(2(1(3(z0)))))))))))))))))), 3'(0(1(3(3(0(1(0(3(3(3(0(2(0(2(1(3(z0))))))))))))))))), 0'(1(3(3(0(1(0(3(3(3(0(2(0(2(1(3(z0)))))))))))))))), 1'(3(3(0(1(0(3(3(3(0(2(0(2(1(3(z0))))))))))))))), 3'(3(0(1(0(3(3(3(0(2(0(2(1(3(z0)))))))))))))), 3'(0(1(0(3(3(3(0(2(0(2(1(3(z0))))))))))))), 0'(1(0(3(3(3(0(2(0(2(1(3(z0)))))))))))), 1'(0(3(3(3(0(2(0(2(1(3(z0))))))))))), 0'(3(3(3(0(2(0(2(1(3(z0)))))))))), 3'(3(3(0(2(0(2(1(3(z0))))))))), 3'(3(0(2(0(2(1(3(z0)))))))), 3'(0(2(0(2(1(3(z0))))))), 0'(2(0(2(1(3(z0)))))), 2'(0(2(1(3(z0))))), 0'(2(1(3(z0)))), 2'(1(3(z0))), 1'(3(z0)), 3'(z0))
   0'(c_3(c_0(c_2(c_0(c_1(c_3(c_0(c_1(c_2(c_3(c_2(c_1(c_1(c_0(c_0(c_3(c_3(c_2(c_3(z0)))))))))))))))))))) -> c14(0'(3(3(2(2(3(2(3(2(0(0(2(3(3(3(3(3(0(1(0(z0)))))))))))))))))))), 3'(3(2(2(3(2(3(2(0(0(2(3(3(3(3(3(0(1(0(z0))))))))))))))))))), 3'(2(2(3(2(3(2(0(0(2(3(3(3(3(3(0(1(0(z0)))))))))))))))))), 2'(2(3(2(3(2(0(0(2(3(3(3(3(3(0(1(0(z0))))))))))))))))), 2'(3(2(3(2(0(0(2(3(3(3(3(3(0(1(0(z0)))))))))))))))), 3'(2(3(2(0(0(2(3(3(3(3(3(0(1(0(z0))))))))))))))), 2'(3(2(0(0(2(3(3(3(3(3(0(1(0(z0)))))))))))))), 3'(2(0(0(2(3(3(3(3(3(0(1(0(z0))))))))))))), 2'(0(0(2(3(3(3(3(3(0(1(0(z0)))))))))))), 0'(0(2(3(3(3(3(3(0(1(0(z0))))))))))), 0'(2(3(3(3(3(3(0(1(0(z0)))))))))), 2'(3(3(3(3(3(0(1(0(z0))))))))), 3'(3(3(3(3(0(1(0(z0)))))))), 3'(3(3(3(0(1(0(z0))))))), 3'(3(3(0(1(0(z0)))))), 3'(3(0(1(0(z0))))), 3'(0(1(0(z0)))), 0'(1(0(z0))), 1'(0(z0)), 0'(z0))
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   3'(c_3(c_1(c_0(c_1(c_3(c_0(c_0(c_3(c_1(c_2(c_1(c_0(c_0(c_3(c_0(c_1(c_0(c_3(c_1(z0)))))))))))))))))))) -> c106(1'(3(3(3(3(2(3(2(2(0(3(1(0(0(1(3(0(3(3(1(z0)))))))))))))))))))), 3'(3(3(3(2(3(2(2(0(3(1(0(0(1(3(0(3(3(1(z0))))))))))))))))))), 3'(3(3(2(3(2(2(0(3(1(0(0(1(3(0(3(3(1(z0)))))))))))))))))), 3'(3(2(3(2(2(0(3(1(0(0(1(3(0(3(3(1(z0))))))))))))))))), 3'(2(3(2(2(0(3(1(0(0(1(3(0(3(3(1(z0)))))))))))))))), 2'(3(2(2(0(3(1(0(0(1(3(0(3(3(1(z0))))))))))))))), 3'(2(2(0(3(1(0(0(1(3(0(3(3(1(z0)))))))))))))), 2'(2(0(3(1(0(0(1(3(0(3(3(1(z0))))))))))))), 2'(0(3(1(0(0(1(3(0(3(3(1(z0)))))))))))), 0'(3(1(0(0(1(3(0(3(3(1(z0))))))))))), 3'(1(0(0(1(3(0(3(3(1(z0)))))))))), 1'(0(0(1(3(0(3(3(1(z0))))))))), 0'(0(1(3(0(3(3(1(z0)))))))), 0'(1(3(0(3(3(1(z0))))))), 1'(3(0(3(3(1(z0)))))), 3'(0(3(3(1(z0))))), 0'(3(3(1(z0)))), 3'(3(1(z0))), 3'(1(z0)), 1'(z0))
   3'(c_3(c_3(c_3(c_1(c_1(c_3(c_2(c_3(c_0(c_3(c_3(c_0(c_3(c_2(c_1(c_0(c_0(c_2(c_2(z0)))))))))))))))))))) -> c107(3'(3(0(3(0(0(3(3(3(1(3(1(1(0(3(0(2(0(1(2(z0)))))))))))))))))))), 3'(0(3(0(0(3(3(3(1(3(1(1(0(3(0(2(0(1(2(z0))))))))))))))))))), 0'(3(0(0(3(3(3(1(3(1(1(0(3(0(2(0(1(2(z0)))))))))))))))))), 3'(0(0(3(3(3(1(3(1(1(0(3(0(2(0(1(2(z0))))))))))))))))), 0'(0(3(3(3(1(3(1(1(0(3(0(2(0(1(2(z0)))))))))))))))), 0'(3(3(3(1(3(1(1(0(3(0(2(0(1(2(z0))))))))))))))), 3'(3(3(1(3(1(1(0(3(0(2(0(1(2(z0)))))))))))))), 3'(3(1(3(1(1(0(3(0(2(0(1(2(z0))))))))))))), 3'(1(3(1(1(0(3(0(2(0(1(2(z0)))))))))))), 1'(3(1(1(0(3(0(2(0(1(2(z0))))))))))), 3'(1(1(0(3(0(2(0(1(2(z0)))))))))), 1'(1(0(3(0(2(0(1(2(z0))))))))), 1'(0(3(0(2(0(1(2(z0)))))))), 0'(3(0(2(0(1(2(z0))))))), 3'(0(2(0(1(2(z0)))))), 0'(2(0(1(2(z0))))), 2'(0(1(2(z0)))), 0'(1(2(z0))), 1'(2(z0)), 2'(z0))
   3'(c_2(c_3(c_0(c_1(c_3(c_2(c_2(c_0(c_1(c_1(c_3(c_3(c_3(c_1(c_2(c_3(c_1(c_1(c_0(z0)))))))))))))))))))) -> c108(0'(0(0(0(3(2(3(1(1(1(0(1(0(0(3(3(0(2(3(1(z0)))))))))))))))))))), 0'(0(0(3(2(3(1(1(1(0(1(0(0(3(3(0(2(3(1(z0))))))))))))))))))), 0'(0(3(2(3(1(1(1(0(1(0(0(3(3(0(2(3(1(z0)))))))))))))))))), 0'(3(2(3(1(1(1(0(1(0(0(3(3(0(2(3(1(z0))))))))))))))))), 3'(2(3(1(1(1(0(1(0(0(3(3(0(2(3(1(z0)))))))))))))))), 2'(3(1(1(1(0(1(0(0(3(3(0(2(3(1(z0))))))))))))))), 3'(1(1(1(0(1(0(0(3(3(0(2(3(1(z0)))))))))))))), 1'(1(1(0(1(0(0(3(3(0(2(3(1(z0))))))))))))), 1'(1(0(1(0(0(3(3(0(2(3(1(z0)))))))))))), 1'(0(1(0(0(3(3(0(2(3(1(z0))))))))))), 0'(1(0(0(3(3(0(2(3(1(z0)))))))))), 1'(0(0(3(3(0(2(3(1(z0))))))))), 0'(0(3(3(0(2(3(1(z0)))))))), 0'(3(3(0(2(3(1(z0))))))), 3'(3(0(2(3(1(z0)))))), 3'(0(2(3(1(z0))))), 0'(2(3(1(z0)))), 2'(3(1(z0))), 3'(1(z0)), 1'(z0))
   3'(c_0(c_3(c_2(c_2(c_2(c_3(c_1(c_3(c_0(c_2(c_1(c_0(c_1(c_0(c_2(c_2(c_3(c_3(c_1(z0)))))))))))))))))))) -> c109(2'(3(0(0(3(1(2(0(3(3(0(0(0(3(3(3(1(0(2(2(z0)))))))))))))))))))), 3'(0(0(3(1(2(0(3(3(0(0(0(3(3(3(1(0(2(2(z0))))))))))))))))))), 0'(0(3(1(2(0(3(3(0(0(0(3(3(3(1(0(2(2(z0)))))))))))))))))), 0'(3(1(2(0(3(3(0(0(0(3(3(3(1(0(2(2(z0))))))))))))))))), 3'(1(2(0(3(3(0(0(0(3(3(3(1(0(2(2(z0)))))))))))))))), 1'(2(0(3(3(0(0(0(3(3(3(1(0(2(2(z0))))))))))))))), 2'(0(3(3(0(0(0(3(3(3(1(0(2(2(z0)))))))))))))), 0'(3(3(0(0(0(3(3(3(1(0(2(2(z0))))))))))))), 3'(3(0(0(0(3(3(3(1(0(2(2(z0)))))))))))), 3'(0(0(0(3(3(3(1(0(2(2(z0))))))))))), 0'(0(0(3(3(3(1(0(2(2(z0)))))))))), 0'(0(3(3(3(1(0(2(2(z0))))))))), 0'(3(3(3(1(0(2(2(z0)))))))), 3'(3(3(1(0(2(2(z0))))))), 3'(3(1(0(2(2(z0)))))), 3'(1(0(2(2(z0))))), 1'(0(2(2(z0)))), 0'(2(2(z0))), 2'(2(z0)), 2'(z0))
   3'(c_2(c_0(c_3(c_3(c_1(c_3(c_2(c_3(c_0(c_3(c_2(c_3(c_1(c_3(c_0(c_2(c_1(c_3(c_0(z0)))))))))))))))))))) -> c110(3'(3(3(0(2(3(3(0(2(0(3(3(3(3(1(0(0(1(3(0(z0)))))))))))))))))))), 3'(3(0(2(3(3(0(2(0(3(3(3(3(1(0(0(1(3(0(z0))))))))))))))))))), 3'(0(2(3(3(0(2(0(3(3(3(3(1(0(0(1(3(0(z0)))))))))))))))))), 0'(2(3(3(0(2(0(3(3(3(3(1(0(0(1(3(0(z0))))))))))))))))), 2'(3(3(0(2(0(3(3(3(3(1(0(0(1(3(0(z0)))))))))))))))), 3'(3(0(2(0(3(3(3(3(1(0(0(1(3(0(z0))))))))))))))), 3'(0(2(0(3(3(3(3(1(0(0(1(3(0(z0)))))))))))))), 0'(2(0(3(3(3(3(1(0(0(1(3(0(z0))))))))))))), 2'(0(3(3(3(3(1(0(0(1(3(0(z0)))))))))))), 0'(3(3(3(3(1(0(0(1(3(0(z0))))))))))), 3'(3(3(3(1(0(0(1(3(0(z0)))))))))), 3'(3(3(1(0(0(1(3(0(z0))))))))), 3'(3(1(0(0(1(3(0(z0)))))))), 3'(1(0(0(1(3(0(z0))))))), 1'(0(0(1(3(0(z0)))))), 0'(0(1(3(0(z0))))), 0'(1(3(0(z0)))), 1'(3(0(z0))), 3'(0(z0)), 0'(z0))
K tuples:none
Defined Rule Symbols:   0_1, 2_1, 3_1, 1_1, encArg_1, encode_0_1, encode_1_1, encode_2_1, encode_3_1

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

Compound Symbols:   c_2, c1_2, c2_2, c3_2, c4_2, c5_2, c6_2, c7_2, c9_20, c10_20, 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_20, c33_20, c34_20, c35_20, c37_20, c38_20, c39_20, c40_20, c41_20, c42_20, c43_20, c44_20, c45_20, c46_20, c47_20, c48_20, c49_20, c50_20, c51_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_20, c73_20, c74_20, c75_20, c76_20, c77_20, c78_20, c79_20, c80_20, c81_20, c82_20, c83_20, c84_20, c85_20, c86_20, c87_20, c88_20, c90_20, c91_20, c92_20, c93_20, c94_20, c95_20, c96_20, c97_20, c98_20, c99_20, c100_20, c101_20, c102_20, c103_20, c104_20, c105_20, c106_20, c107_20, c108_20, c109_20, c110_20


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

(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))
   encode_0(z0) -> 0(encArg(z0))
   encode_1(z0) -> 1(encArg(z0))
   encode_2(z0) -> 2(encArg(z0))
   encode_3(z0) -> 3(encArg(z0))
   0(z0) -> c_0(z0)
   0(c_1(c_1(c_1(c_0(c_0(c_0(c_0(c_0(c_0(c_3(c_0(c_1(c_0(c_1(c_0(c_2(c_0(c_3(c_1(z0)))))))))))))))))))) -> 1(0(2(1(3(0(1(0(2(3(0(0(3(3(0(1(0(0(1(0(z0))))))))))))))))))))
   0(c_0(c_1(c_2(c_3(c_0(c_1(c_0(c_3(c_0(c_3(c_1(c_1(c_1(c_0(c_1(c_3(c_3(c_2(c_3(z0)))))))))))))))))))) -> 3(0(3(1(1(0(2(3(0(3(3(1(3(1(0(3(0(1(2(3(z0))))))))))))))))))))
   0(c_2(c_0(c_3(c_1(c_1(c_3(c_2(c_3(c_3(c_0(c_2(c_2(c_0(c_2(c_3(c_0(c_0(c_2(c_3(z0)))))))))))))))))))) -> 0(0(3(3(2(3(3(3(0(1(1(1(2(2(3(1(3(1(1(3(z0))))))))))))))))))))
   0(c_0(c_1(c_1(c_0(c_1(c_0(c_2(c_3(c_1(c_3(c_3(c_3(c_1(c_2(c_2(c_0(c_0(c_2(c_3(z0)))))))))))))))))))) -> 0(0(3(0(2(1(3(3(1(3(2(3(3(3(2(0(0(1(0(2(z0))))))))))))))))))))
   0(c_1(c_0(c_1(c_1(c_3(c_3(c_0(c_0(c_1(c_3(c_1(c_3(c_0(c_2(c_3(c_0(c_3(c_2(c_3(z0)))))))))))))))))))) -> 1(2(3(3(0(1(3(3(0(1(0(3(3(3(0(2(0(2(1(3(z0))))))))))))))))))))
   0(c_3(c_0(c_2(c_0(c_1(c_3(c_0(c_1(c_2(c_3(c_2(c_1(c_1(c_0(c_0(c_3(c_3(c_2(c_3(z0)))))))))))))))))))) -> 0(3(3(2(2(3(2(3(2(0(0(2(3(3(3(3(3(0(1(0(z0))))))))))))))))))))
   0(c_3(c_2(c_2(c_2(c_3(c_2(c_2(c_3(c_1(c_3(c_0(c_3(c_2(c_3(c_0(c_3(c_3(c_1(c_3(z0)))))))))))))))))))) -> 3(0(3(3(3(3(3(2(3(3(3(1(0(0(3(2(0(2(2(1(z0))))))))))))))))))))
   0(c_0(c_3(c_1(c_0(c_2(c_0(c_3(c_1(c_0(c_0(c_3(c_0(c_0(c_0(c_3(c_2(c_0(c_2(c_3(z0)))))))))))))))))))) -> 0(0(1(0(2(1(3(0(1(0(0(3(1(0(3(3(2(2(3(3(z0))))))))))))))))))))
   0(c_0(c_0(c_1(c_1(c_0(c_3(c_3(c_3(c_3(c_0(c_1(c_0(c_2(c_2(c_1(c_3(c_2(c_0(c_0(z0)))))))))))))))))))) -> 0(0(1(3(3(0(1(3(3(0(1(2(3(2(2(0(3(2(3(3(z0))))))))))))))))))))
   0(c_1(c_3(c_1(c_2(c_1(c_3(c_1(c_3(c_3(c_1(c_2(c_2(c_1(c_0(c_3(c_2(c_1(c_1(c_1(z0)))))))))))))))))))) -> 0(0(2(0(0(3(3(1(1(1(1(3(0(1(1(0(0(2(1(2(z0))))))))))))))))))))
   0(c_0(c_3(c_2(c_0(c_3(c_3(c_2(c_0(c_2(c_1(c_3(c_3(c_3(c_2(c_2(c_3(c_1(c_2(c_3(z0)))))))))))))))))))) -> 3(1(3(0(1(0(0(0(1(1(3(0(2(2(1(2(3(1(0(3(z0))))))))))))))))))))
   0(c_2(c_2(c_1(c_1(c_2(c_0(c_1(c_1(c_0(c_0(c_1(c_1(c_2(c_0(c_1(c_0(c_3(c_3(c_3(z0)))))))))))))))))))) -> 3(1(0(1(3(1(0(3(0(3(1(3(2(1(0(1(1(3(1(3(z0))))))))))))))))))))
   0(c_2(c_2(c_2(c_1(c_2(c_2(c_1(c_1(c_1(c_1(c_2(c_3(c_2(c_0(c_3(c_3(c_3(c_3(c_0(z0)))))))))))))))))))) -> 3(1(2(3(3(3(1(0(3(3(2(0(2(2(3(1(1(1(3(1(z0))))))))))))))))))))
   0(c_0(c_3(c_2(c_1(c_2(c_0(c_2(c_3(c_2(c_1(c_0(c_1(c_0(c_3(c_3(c_0(c_0(c_3(c_1(z0)))))))))))))))))))) -> 3(2(3(3(0(3(1(1(0(1(1(1(1(1(3(0(3(3(0(1(z0))))))))))))))))))))
   0(c_1(c_3(c_3(c_0(c_0(c_2(c_2(c_3(c_2(c_0(c_0(c_0(c_1(c_2(c_0(c_3(c_2(c_1(c_3(z0)))))))))))))))))))) -> 0(0(3(0(0(0(2(1(0(0(1(2(0(0(3(3(3(3(1(0(z0))))))))))))))))))))
   0(c_0(c_3(c_0(c_1(c_3(c_1(c_2(c_1(c_1(c_3(c_0(c_0(c_1(c_3(c_0(c_1(c_2(c_1(c_3(z0)))))))))))))))))))) -> 2(3(1(2(3(2(3(3(0(2(3(3(0(0(0(2(1(2(3(3(z0))))))))))))))))))))
   0(c_2(c_2(c_3(c_3(c_0(c_0(c_3(c_3(c_1(c_3(c_0(c_3(c_2(c_2(c_1(c_1(c_2(c_3(c_3(z0)))))))))))))))))))) -> 1(3(3(3(0(1(0(0(3(0(1(3(3(3(3(0(2(3(2(3(z0))))))))))))))))))))
   0(c_0(c_1(c_2(c_2(c_1(c_3(c_3(c_2(c_2(c_1(c_2(c_0(c_2(c_3(c_0(c_0(c_1(c_3(c_3(z0)))))))))))))))))))) -> 3(0(1(2(1(2(0(2(2(1(3(2(2(3(3(3(3(3(3(3(z0))))))))))))))))))))
   0(c_1(c_3(c_1(c_0(c_1(c_3(c_3(c_1(c_3(c_1(c_2(c_2(c_0(c_0(c_1(c_3(c_3(c_0(c_0(z0)))))))))))))))))))) -> 1(1(1(3(1(3(0(2(3(2(3(0(2(3(3(2(3(3(0(3(z0))))))))))))))))))))
   0(c_0(c_0(c_0(c_1(c_0(c_2(c_3(c_1(c_3(c_0(c_2(c_0(c_1(c_0(c_2(c_1(c_2(c_3(c_3(z0)))))))))))))))))))) -> 0(0(0(2(2(1(3(3(3(0(3(3(1(3(1(1(1(1(3(3(z0))))))))))))))))))))
   0(c_2(c_1(c_3(c_0(c_0(c_0(c_3(c_2(c_0(c_1(c_1(c_0(c_0(c_0(c_2(c_2(c_3(c_1(c_3(z0)))))))))))))))))))) -> 3(3(0(3(0(3(3(0(1(1(0(1(0(2(0(2(3(1(2(3(z0))))))))))))))))))))
   0(c_3(c_1(c_0(c_0(c_3(c_1(c_2(c_2(c_1(c_0(c_0(c_0(c_3(c_0(c_1(c_2(c_0(c_3(c_3(z0)))))))))))))))))))) -> 0(2(3(2(3(3(1(0(0(0(3(1(1(0(2(0(0(0(3(3(z0))))))))))))))))))))
   0(c_0(c_0(c_3(c_1(c_3(c_2(c_1(c_3(c_3(c_3(c_2(c_2(c_3(c_1(c_3(c_0(c_3(c_2(c_3(z0)))))))))))))))))))) -> 0(3(3(2(0(1(2(3(0(0(2(2(1(3(3(3(2(3(3(3(z0))))))))))))))))))))
   0(c_0(c_2(c_0(c_2(c_3(c_0(c_0(c_1(c_1(c_3(c_1(c_3(c_0(c_0(c_3(c_0(c_3(c_0(c_1(z0)))))))))))))))))))) -> 1(3(0(1(3(0(3(0(3(0(1(0(2(3(0(2(0(0(0(2(z0))))))))))))))))))))
   0(c_1(c_3(c_1(c_0(c_2(c_0(c_2(c_2(c_2(c_1(c_2(c_0(c_1(c_3(c_3(c_0(c_3(c_0(c_3(z0)))))))))))))))))))) -> 3(2(1(0(3(2(3(0(0(0(1(3(0(0(3(3(3(1(3(2(z0))))))))))))))))))))
   0(c_2(c_2(c_2(c_1(c_3(c_2(c_1(c_2(c_1(c_3(c_0(c_2(c_3(c_2(c_1(c_0(c_0(c_1(c_3(z0)))))))))))))))))))) -> 0(1(0(2(0(0(0(0(0(3(0(0(0(2(3(2(2(3(3(0(z0))))))))))))))))))))
   0(c_2(c_1(c_3(c_2(c_0(c_2(c_1(c_0(c_1(c_0(c_3(c_0(c_1(c_1(c_1(c_3(c_3(c_3(c_0(z0)))))))))))))))))))) -> 3(0(2(1(3(3(3(3(1(3(2(2(1(0(0(0(3(0(1(1(z0))))))))))))))))))))
   1(z0) -> c_1(z0)
   1(c_1(c_3(c_2(c_1(c_1(c_0(c_0(c_2(c_2(c_3(c_1(c_1(c_1(c_0(c_3(c_3(c_0(c_3(c_3(z0)))))))))))))))))))) -> 0(2(2(3(3(0(2(0(0(0(1(0(2(3(3(0(3(0(1(3(z0))))))))))))))))))))
   1(c_1(c_0(c_2(c_0(c_1(c_3(c_3(c_1(c_1(c_1(c_0(c_1(c_3(c_3(c_3(c_1(c_0(c_1(c_2(z0)))))))))))))))))))) -> 1(0(2(1(2(1(2(3(2(0(3(3(3(3(3(0(0(2(0(0(z0))))))))))))))))))))
   1(c_3(c_1(c_3(c_1(c_3(c_3(c_1(c_3(c_2(c_3(c_0(c_3(c_2(c_2(c_3(c_0(c_3(c_0(c_3(z0)))))))))))))))))))) -> 0(3(2(3(3(3(0(0(0(1(0(3(1(2(3(2(3(0(0(3(z0))))))))))))))))))))
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   2(z0) -> c_2(z0)
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   2(c_2(c_3(c_3(c_0(c_2(c_3(c_0(c_0(c_1(c_1(c_0(c_0(c_0(c_2(c_2(c_2(c_3(c_1(c_2(z0)))))))))))))))))))) -> 0(3(0(3(2(0(1(0(1(2(0(3(3(0(2(2(3(0(3(2(z0))))))))))))))))))))
   2(c_2(c_0(c_1(c_3(c_3(c_3(c_3(c_1(c_1(c_0(c_3(c_1(c_2(c_0(c_0(c_3(c_1(c_2(c_3(z0)))))))))))))))))))) -> 0(3(3(0(3(3(2(3(0(1(0(1(3(3(3(2(3(2(1(3(z0))))))))))))))))))))
   2(c_1(c_3(c_1(c_3(c_3(c_1(c_2(c_2(c_2(c_0(c_1(c_3(c_0(c_3(c_3(c_2(c_2(c_0(c_3(z0)))))))))))))))))))) -> 2(2(0(1(3(3(1(2(0(0(0(3(3(0(1(3(1(3(0(3(z0))))))))))))))))))))
   2(c_1(c_3(c_1(c_2(c_2(c_0(c_0(c_2(c_2(c_2(c_2(c_3(c_0(c_3(c_0(c_1(c_3(c_1(c_3(z0)))))))))))))))))))) -> 3(0(2(0(3(3(2(2(3(3(0(2(3(2(1(0(0(2(1(3(z0))))))))))))))))))))
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   2(c_1(c_0(c_1(c_1(c_3(c_1(c_3(c_0(c_1(c_3(c_2(c_0(c_3(c_1(c_0(c_0(c_0(c_1(c_3(z0)))))))))))))))))))) -> 0(0(1(2(1(3(3(3(0(2(0(2(1(3(3(0(3(2(1(3(z0))))))))))))))))))))
   2(c_2(c_1(c_0(c_1(c_0(c_2(c_3(c_1(c_2(c_1(c_2(c_2(c_1(c_3(c_3(c_0(c_3(c_1(c_3(z0)))))))))))))))))))) -> 2(2(0(0(3(3(3(1(1(0(0(3(3(2(1(1(0(2(2(3(z0))))))))))))))))))))
   2(c_0(c_0(c_3(c_3(c_1(c_2(c_3(c_2(c_2(c_3(c_3(c_2(c_1(c_1(c_2(c_0(c_1(c_3(c_3(z0)))))))))))))))))))) -> 2(2(3(3(0(1(0(3(0(0(0(1(1(3(1(0(2(2(0(3(z0))))))))))))))))))))
   2(c_2(c_3(c_2(c_2(c_2(c_3(c_3(c_0(c_0(c_0(c_1(c_0(c_3(c_0(c_3(c_0(c_1(c_0(c_1(z0)))))))))))))))))))) -> 2(2(2(3(2(1(3(0(3(3(3(0(2(3(3(1(2(0(3(3(z0))))))))))))))))))))
   2(c_3(c_2(c_3(c_1(c_0(c_0(c_1(c_0(c_2(c_0(c_0(c_1(c_3(c_3(c_1(c_0(c_0(c_0(c_0(z0)))))))))))))))))))) -> 1(2(0(3(3(3(0(2(2(0(1(0(0(1(2(2(1(3(3(0(z0))))))))))))))))))))
   2(c_3(c_2(c_3(c_0(c_3(c_0(c_3(c_3(c_3(c_0(c_1(c_1(c_1(c_0(c_3(c_1(c_2(c_1(c_1(z0)))))))))))))))))))) -> 0(3(1(3(1(3(1(3(0(1(0(0(3(3(3(2(0(2(3(2(z0))))))))))))))))))))
   2(c_0(c_2(c_0(c_0(c_3(c_1(c_0(c_0(c_2(c_3(c_3(c_1(c_0(c_3(c_2(c_1(c_0(c_0(c_3(z0)))))))))))))))))))) -> 1(3(0(1(2(0(2(2(3(1(3(3(3(3(3(3(0(3(0(3(z0))))))))))))))))))))
   2(c_2(c_3(c_1(c_1(c_1(c_1(c_3(c_1(c_3(c_1(c_1(c_0(c_0(c_0(c_0(c_3(c_1(c_2(c_3(z0)))))))))))))))))))) -> 3(2(0(0(0(1(3(1(3(3(1(3(0(0(2(3(0(1(1(1(z0))))))))))))))))))))
   2(c_1(c_0(c_1(c_3(c_3(c_1(c_0(c_2(c_3(c_0(c_0(c_0(c_2(c_3(c_1(c_0(c_0(c_3(c_3(z0)))))))))))))))))))) -> 2(0(1(3(2(1(3(1(3(1(1(3(3(1(3(3(0(0(3(3(z0))))))))))))))))))))
   2(c_1(c_1(c_3(c_3(c_1(c_0(c_2(c_2(c_2(c_2(c_2(c_3(c_0(c_1(c_0(c_2(c_2(c_3(c_3(z0)))))))))))))))))))) -> 0(3(0(3(1(3(0(3(3(1(3(3(0(3(1(3(3(0(3(1(z0))))))))))))))))))))
   2(c_2(c_3(c_3(c_2(c_2(c_2(c_2(c_3(c_0(c_2(c_3(c_0(c_2(c_0(c_1(c_1(c_3(c_3(c_1(z0)))))))))))))))))))) -> 2(2(2(0(0(1(0(0(1(3(3(3(3(3(2(1(0(0(0(3(z0))))))))))))))))))))
   2(c_1(c_3(c_3(c_1(c_1(c_3(c_2(c_1(c_3(c_3(c_1(c_1(c_0(c_2(c_2(c_3(c_0(c_0(c_0(z0)))))))))))))))))))) -> 2(0(0(0(1(0(0(3(1(1(1(3(0(0(3(0(1(3(3(2(z0))))))))))))))))))))
   2(c_1(c_1(c_0(c_3(c_0(c_1(c_2(c_3(c_3(c_1(c_1(c_1(c_3(c_0(c_0(c_3(c_1(c_3(c_0(z0)))))))))))))))))))) -> 2(2(0(3(2(0(0(1(2(1(1(3(1(3(3(0(3(3(3(0(z0))))))))))))))))))))
   2(c_0(c_1(c_0(c_1(c_3(c_2(c_3(c_0(c_0(c_2(c_1(c_0(c_2(c_0(c_3(c_1(c_0(c_2(c_3(z0)))))))))))))))))))) -> 3(3(3(0(3(3(2(3(1(3(1(3(3(0(3(3(0(2(1(0(z0))))))))))))))))))))
   2(c_0(c_3(c_1(c_3(c_3(c_3(c_1(c_2(c_3(c_0(c_1(c_2(c_2(c_3(c_2(c_1(c_0(c_3(c_1(z0)))))))))))))))))))) -> 1(0(3(3(1(3(0(1(2(3(0(1(0(3(3(0(3(2(1(1(z0))))))))))))))))))))
   2(c_3(c_0(c_3(c_3(c_2(c_3(c_0(c_1(c_3(c_2(c_2(c_3(c_3(c_0(c_2(c_2(c_0(c_1(c_2(z0)))))))))))))))))))) -> 2(0(1(3(0(2(2(3(2(0(3(3(2(0(3(1(0(3(0(2(z0))))))))))))))))))))
   2(c_3(c_2(c_2(c_0(c_3(c_3(c_1(c_1(c_1(c_3(c_0(c_0(c_1(c_0(c_0(c_2(c_3(c_0(c_3(z0)))))))))))))))))))) -> 2(3(1(1(0(3(2(2(1(3(0(3(3(2(0(0(1(1(3(3(z0))))))))))))))))))))
   2(c_0(c_1(c_0(c_2(c_2(c_0(c_3(c_0(c_2(c_2(c_3(c_3(c_2(c_1(c_3(c_0(c_2(c_3(c_1(z0)))))))))))))))))))) -> 2(3(3(0(3(0(0(2(3(3(1(1(3(3(0(1(2(3(2(0(z0))))))))))))))))))))
   2(c_0(c_0(c_2(c_1(c_2(c_1(c_1(c_3(c_0(c_2(c_3(c_2(c_1(c_3(c_3(c_1(c_3(c_2(c_3(z0)))))))))))))))))))) -> 2(2(3(1(1(0(1(0(1(1(0(1(0(3(3(1(3(3(3(1(z0))))))))))))))))))))
   2(c_1(c_1(c_1(c_0(c_1(c_3(c_1(c_0(c_3(c_2(c_3(c_0(c_0(c_0(c_3(c_1(c_1(c_0(c_3(z0)))))))))))))))))))) -> 1(1(1(0(1(1(2(0(2(1(0(0(3(3(0(2(0(3(0(3(z0))))))))))))))))))))
   2(c_1(c_3(c_1(c_3(c_3(c_1(c_1(c_1(c_1(c_1(c_1(c_0(c_2(c_3(c_2(c_3(c_0(c_0(c_3(z0)))))))))))))))))))) -> 1(3(0(0(2(0(0(2(0(3(2(2(0(1(3(3(3(0(0(3(z0))))))))))))))))))))
   2(c_1(c_0(c_3(c_0(c_2(c_0(c_2(c_1(c_3(c_3(c_3(c_1(c_1(c_1(c_0(c_0(c_3(c_3(c_2(z0)))))))))))))))))))) -> 2(2(1(3(0(0(1(3(0(3(3(0(3(3(1(0(1(1(0(1(z0))))))))))))))))))))
   2(c_3(c_1(c_2(c_0(c_3(c_2(c_0(c_2(c_3(c_3(c_0(c_2(c_0(c_0(c_1(c_0(c_1(c_0(c_3(z0)))))))))))))))))))) -> 0(3(1(3(0(3(3(0(1(0(0(3(2(0(0(0(3(3(2(3(z0))))))))))))))))))))
   2(c_2(c_3(c_2(c_0(c_0(c_3(c_0(c_3(c_3(c_2(c_2(c_2(c_0(c_2(c_3(c_3(c_3(c_3(c_2(z0)))))))))))))))))))) -> 1(0(3(1(2(3(3(2(3(3(3(3(0(1(3(1(0(3(0(3(z0))))))))))))))))))))
   2(c_2(c_3(c_3(c_0(c_2(c_2(c_0(c_1(c_3(c_1(c_3(c_3(c_0(c_3(c_2(c_2(c_2(c_1(c_2(z0)))))))))))))))))))) -> 2(0(0(0(3(0(3(1(3(2(0(0(1(1(3(0(0(3(2(3(z0))))))))))))))))))))
   3(z0) -> c_3(z0)
   3(c_3(c_0(c_2(c_2(c_3(c_3(c_1(c_2(c_2(c_0(c_0(c_3(c_2(c_0(c_2(c_1(c_0(c_3(c_3(z0)))))))))))))))))))) -> 1(0(2(1(1(3(2(1(1(3(0(3(3(1(1(3(1(3(3(3(z0))))))))))))))))))))
   3(c_3(c_1(c_0(c_3(c_1(c_0(c_3(c_1(c_1(c_3(c_3(c_1(c_3(c_0(c_2(c_2(c_3(c_1(c_1(z0)))))))))))))))))))) -> 0(0(3(0(2(1(3(3(0(0(3(2(0(0(3(0(2(2(0(0(z0))))))))))))))))))))
   3(c_3(c_2(c_1(c_3(c_1(c_3(c_0(c_2(c_0(c_3(c_1(c_2(c_1(c_3(c_2(c_1(c_3(c_2(c_3(z0)))))))))))))))))))) -> 2(3(3(2(2(2(0(3(1(2(3(3(3(3(0(1(3(2(0(3(z0))))))))))))))))))))
   3(c_0(c_1(c_0(c_1(c_2(c_3(c_2(c_1(c_1(c_0(c_1(c_1(c_3(c_0(c_3(c_3(c_2(c_1(c_3(z0)))))))))))))))))))) -> 0(3(0(0(2(3(0(2(2(1(0(1(2(0(1(3(1(3(1(3(z0))))))))))))))))))))
   3(c_3(c_0(c_3(c_3(c_0(c_1(c_2(c_1(c_1(c_0(c_3(c_3(c_0(c_2(c_0(c_0(c_2(c_2(c_1(z0)))))))))))))))))))) -> 3(3(3(3(1(3(3(1(1(3(1(2(3(3(3(2(2(0(2(1(z0))))))))))))))))))))
   3(c_0(c_3(c_3(c_3(c_3(c_1(c_3(c_2(c_0(c_1(c_0(c_1(c_0(c_3(c_3(c_0(c_0(c_1(c_1(z0)))))))))))))))))))) -> 3(3(2(3(3(3(2(3(3(0(1(1(0(3(3(3(0(3(3(0(z0))))))))))))))))))))
   3(c_1(c_0(c_1(c_1(c_1(c_3(c_1(c_0(c_0(c_0(c_2(c_1(c_0(c_1(c_2(c_0(c_0(c_0(c_3(z0)))))))))))))))))))) -> 0(3(0(2(2(0(1(0(1(0(0(2(2(3(2(3(0(1(0(3(z0))))))))))))))))))))
   3(c_3(c_0(c_2(c_3(c_3(c_0(c_1(c_3(c_0(c_0(c_1(c_2(c_2(c_2(c_2(c_3(c_3(c_2(c_1(z0)))))))))))))))))))) -> 3(1(3(3(1(0(3(0(3(0(2(3(3(1(0(1(0(3(1(0(z0))))))))))))))))))))
   3(c_1(c_2(c_3(c_2(c_2(c_2(c_3(c_3(c_0(c_1(c_3(c_0(c_1(c_1(c_1(c_0(c_0(c_0(c_3(z0)))))))))))))))))))) -> 1(2(1(3(1(3(3(3(3(2(1(1(2(3(0(0(3(3(0(0(z0))))))))))))))))))))
   3(c_1(c_1(c_3(c_2(c_3(c_3(c_3(c_1(c_0(c_1(c_2(c_0(c_3(c_0(c_0(c_0(c_1(c_2(c_3(z0)))))))))))))))))))) -> 3(3(3(0(3(3(1(0(2(3(0(0(2(2(3(3(0(3(2(0(z0))))))))))))))))))))
   3(c_0(c_2(c_1(c_2(c_1(c_3(c_1(c_3(c_0(c_3(c_1(c_3(c_0(c_2(c_0(c_2(c_0(c_3(c_2(z0)))))))))))))))))))) -> 2(2(3(1(3(1(3(3(1(3(3(0(0(2(1(2(3(3(3(2(z0))))))))))))))))))))
   3(c_0(c_2(c_2(c_1(c_1(c_0(c_1(c_1(c_1(c_3(c_0(c_3(c_1(c_3(c_2(c_1(c_3(c_3(c_0(z0)))))))))))))))))))) -> 0(0(0(0(1(3(3(1(1(3(1(3(0(1(0(3(3(1(1(3(z0))))))))))))))))))))
   3(c_1(c_3(c_0(c_2(c_1(c_1(c_2(c_0(c_3(c_2(c_2(c_1(c_3(c_1(c_1(c_2(c_2(c_3(c_3(z0)))))))))))))))))))) -> 1(0(0(1(3(0(1(1(2(0(3(3(3(3(0(0(3(0(3(2(z0))))))))))))))))))))
   3(c_0(c_2(c_0(c_2(c_0(c_1(c_1(c_3(c_0(c_0(c_3(c_0(c_0(c_2(c_0(c_0(c_3(c_2(c_3(z0)))))))))))))))))))) -> 0(3(2(2(0(3(3(3(1(1(0(0(3(0(2(2(1(1(3(3(z0))))))))))))))))))))
   3(c_0(c_0(c_1(c_1(c_1(c_3(c_3(c_3(c_0(c_2(c_2(c_1(c_3(c_1(c_2(c_3(c_1(c_1(c_0(z0)))))))))))))))))))) -> 1(3(0(2(1(3(3(2(0(2(3(1(3(0(3(0(0(2(1(0(z0))))))))))))))))))))
   3(c_0(c_3(c_2(c_1(c_3(c_0(c_3(c_3(c_0(c_3(c_3(c_0(c_3(c_0(c_3(c_1(c_0(c_0(c_1(z0)))))))))))))))))))) -> 3(3(3(3(2(3(0(1(0(0(0(3(3(1(3(3(3(1(1(2(z0))))))))))))))))))))
   3(c_3(c_1(c_0(c_1(c_3(c_0(c_0(c_3(c_1(c_2(c_1(c_0(c_0(c_3(c_0(c_1(c_0(c_3(c_1(z0)))))))))))))))))))) -> 1(3(3(3(3(2(3(2(2(0(3(1(0(0(1(3(0(3(3(1(z0))))))))))))))))))))
   3(c_3(c_3(c_3(c_1(c_1(c_3(c_2(c_3(c_0(c_3(c_3(c_0(c_3(c_2(c_1(c_0(c_0(c_2(c_2(z0)))))))))))))))))))) -> 3(3(0(3(0(0(3(3(3(1(3(1(1(0(3(0(2(0(1(2(z0))))))))))))))))))))
   3(c_2(c_3(c_0(c_1(c_3(c_2(c_2(c_0(c_1(c_1(c_3(c_3(c_3(c_1(c_2(c_3(c_1(c_1(c_0(z0)))))))))))))))))))) -> 0(0(0(0(3(2(3(1(1(1(0(1(0(0(3(3(0(2(3(1(z0))))))))))))))))))))
   3(c_0(c_3(c_2(c_2(c_2(c_3(c_1(c_3(c_0(c_2(c_1(c_0(c_1(c_0(c_2(c_2(c_3(c_3(c_1(z0)))))))))))))))))))) -> 2(3(0(0(3(1(2(0(3(3(0(0(0(3(3(3(1(0(2(2(z0))))))))))))))))))))
   3(c_2(c_0(c_3(c_3(c_1(c_3(c_2(c_3(c_0(c_3(c_2(c_3(c_1(c_3(c_0(c_2(c_1(c_3(c_0(z0)))))))))))))))))))) -> 3(3(3(0(2(3(3(0(2(0(3(3(3(3(1(0(0(1(3(0(z0))))))))))))))))))))
Tuples:
   ENCARG(cons_0(z0)) -> c(0'(encArg(z0)), ENCARG(z0))
   ENCARG(cons_1(z0)) -> c1(1'(encArg(z0)), ENCARG(z0))
   ENCARG(cons_2(z0)) -> c2(2'(encArg(z0)), ENCARG(z0))
   ENCARG(cons_3(z0)) -> c3(3'(encArg(z0)), ENCARG(z0))
   0'(c_1(c_1(c_1(c_0(c_0(c_0(c_0(c_0(c_0(c_3(c_0(c_1(c_0(c_1(c_0(c_2(c_0(c_3(c_1(z0)))))))))))))))))))) -> c9(1'(0(2(1(3(0(1(0(2(3(0(0(3(3(0(1(0(0(1(0(z0)))))))))))))))))))), 0'(2(1(3(0(1(0(2(3(0(0(3(3(0(1(0(0(1(0(z0))))))))))))))))))), 2'(1(3(0(1(0(2(3(0(0(3(3(0(1(0(0(1(0(z0)))))))))))))))))), 1'(3(0(1(0(2(3(0(0(3(3(0(1(0(0(1(0(z0))))))))))))))))), 3'(0(1(0(2(3(0(0(3(3(0(1(0(0(1(0(z0)))))))))))))))), 0'(1(0(2(3(0(0(3(3(0(1(0(0(1(0(z0))))))))))))))), 1'(0(2(3(0(0(3(3(0(1(0(0(1(0(z0)))))))))))))), 0'(2(3(0(0(3(3(0(1(0(0(1(0(z0))))))))))))), 2'(3(0(0(3(3(0(1(0(0(1(0(z0)))))))))))), 3'(0(0(3(3(0(1(0(0(1(0(z0))))))))))), 0'(0(3(3(0(1(0(0(1(0(z0)))))))))), 0'(3(3(0(1(0(0(1(0(z0))))))))), 3'(3(0(1(0(0(1(0(z0)))))))), 3'(0(1(0(0(1(0(z0))))))), 0'(1(0(0(1(0(z0)))))), 1'(0(0(1(0(z0))))), 0'(0(1(0(z0)))), 0'(1(0(z0))), 1'(0(z0)), 0'(z0))
   0'(c_0(c_1(c_2(c_3(c_0(c_1(c_0(c_3(c_0(c_3(c_1(c_1(c_1(c_0(c_1(c_3(c_3(c_2(c_3(z0)))))))))))))))))))) -> c10(3'(0(3(1(1(0(2(3(0(3(3(1(3(1(0(3(0(1(2(3(z0)))))))))))))))))))), 0'(3(1(1(0(2(3(0(3(3(1(3(1(0(3(0(1(2(3(z0))))))))))))))))))), 3'(1(1(0(2(3(0(3(3(1(3(1(0(3(0(1(2(3(z0)))))))))))))))))), 1'(1(0(2(3(0(3(3(1(3(1(0(3(0(1(2(3(z0))))))))))))))))), 1'(0(2(3(0(3(3(1(3(1(0(3(0(1(2(3(z0)))))))))))))))), 0'(2(3(0(3(3(1(3(1(0(3(0(1(2(3(z0))))))))))))))), 2'(3(0(3(3(1(3(1(0(3(0(1(2(3(z0)))))))))))))), 3'(0(3(3(1(3(1(0(3(0(1(2(3(z0))))))))))))), 0'(3(3(1(3(1(0(3(0(1(2(3(z0)))))))))))), 3'(3(1(3(1(0(3(0(1(2(3(z0))))))))))), 3'(1(3(1(0(3(0(1(2(3(z0)))))))))), 1'(3(1(0(3(0(1(2(3(z0))))))))), 3'(1(0(3(0(1(2(3(z0)))))))), 1'(0(3(0(1(2(3(z0))))))), 0'(3(0(1(2(3(z0)))))), 3'(0(1(2(3(z0))))), 0'(1(2(3(z0)))), 1'(2(3(z0))), 2'(3(z0)), 3'(z0))
   0'(c_2(c_0(c_3(c_1(c_1(c_3(c_2(c_3(c_3(c_0(c_2(c_2(c_0(c_2(c_3(c_0(c_0(c_2(c_3(z0)))))))))))))))))))) -> c11(0'(0(3(3(2(3(3(3(0(1(1(1(2(2(3(1(3(1(1(3(z0)))))))))))))))))))), 0'(3(3(2(3(3(3(0(1(1(1(2(2(3(1(3(1(1(3(z0))))))))))))))))))), 3'(3(2(3(3(3(0(1(1(1(2(2(3(1(3(1(1(3(z0)))))))))))))))))), 3'(2(3(3(3(0(1(1(1(2(2(3(1(3(1(1(3(z0))))))))))))))))), 2'(3(3(3(0(1(1(1(2(2(3(1(3(1(1(3(z0)))))))))))))))), 3'(3(3(0(1(1(1(2(2(3(1(3(1(1(3(z0))))))))))))))), 3'(3(0(1(1(1(2(2(3(1(3(1(1(3(z0)))))))))))))), 3'(0(1(1(1(2(2(3(1(3(1(1(3(z0))))))))))))), 0'(1(1(1(2(2(3(1(3(1(1(3(z0)))))))))))), 1'(1(1(2(2(3(1(3(1(1(3(z0))))))))))), 1'(1(2(2(3(1(3(1(1(3(z0)))))))))), 1'(2(2(3(1(3(1(1(3(z0))))))))), 2'(2(3(1(3(1(1(3(z0)))))))), 2'(3(1(3(1(1(3(z0))))))), 3'(1(3(1(1(3(z0)))))), 1'(3(1(1(3(z0))))), 3'(1(1(3(z0)))), 1'(1(3(z0))), 1'(3(z0)), 3'(z0))
   0'(c_0(c_1(c_1(c_0(c_1(c_0(c_2(c_3(c_1(c_3(c_3(c_3(c_1(c_2(c_2(c_0(c_0(c_2(c_3(z0)))))))))))))))))))) -> c12(0'(0(3(0(2(1(3(3(1(3(2(3(3(3(2(0(0(1(0(2(z0)))))))))))))))))))), 0'(3(0(2(1(3(3(1(3(2(3(3(3(2(0(0(1(0(2(z0))))))))))))))))))), 3'(0(2(1(3(3(1(3(2(3(3(3(2(0(0(1(0(2(z0)))))))))))))))))), 0'(2(1(3(3(1(3(2(3(3(3(2(0(0(1(0(2(z0))))))))))))))))), 2'(1(3(3(1(3(2(3(3(3(2(0(0(1(0(2(z0)))))))))))))))), 1'(3(3(1(3(2(3(3(3(2(0(0(1(0(2(z0))))))))))))))), 3'(3(1(3(2(3(3(3(2(0(0(1(0(2(z0)))))))))))))), 3'(1(3(2(3(3(3(2(0(0(1(0(2(z0))))))))))))), 1'(3(2(3(3(3(2(0(0(1(0(2(z0)))))))))))), 3'(2(3(3(3(2(0(0(1(0(2(z0))))))))))), 2'(3(3(3(2(0(0(1(0(2(z0)))))))))), 3'(3(3(2(0(0(1(0(2(z0))))))))), 3'(3(2(0(0(1(0(2(z0)))))))), 3'(2(0(0(1(0(2(z0))))))), 2'(0(0(1(0(2(z0)))))), 0'(0(1(0(2(z0))))), 0'(1(0(2(z0)))), 1'(0(2(z0))), 0'(2(z0)), 2'(z0))
   0'(c_1(c_0(c_1(c_1(c_3(c_3(c_0(c_0(c_1(c_3(c_1(c_3(c_0(c_2(c_3(c_0(c_3(c_2(c_3(z0)))))))))))))))))))) -> c13(1'(2(3(3(0(1(3(3(0(1(0(3(3(3(0(2(0(2(1(3(z0)))))))))))))))))))), 2'(3(3(0(1(3(3(0(1(0(3(3(3(0(2(0(2(1(3(z0))))))))))))))))))), 3'(3(0(1(3(3(0(1(0(3(3(3(0(2(0(2(1(3(z0)))))))))))))))))), 3'(0(1(3(3(0(1(0(3(3(3(0(2(0(2(1(3(z0))))))))))))))))), 0'(1(3(3(0(1(0(3(3(3(0(2(0(2(1(3(z0)))))))))))))))), 1'(3(3(0(1(0(3(3(3(0(2(0(2(1(3(z0))))))))))))))), 3'(3(0(1(0(3(3(3(0(2(0(2(1(3(z0)))))))))))))), 3'(0(1(0(3(3(3(0(2(0(2(1(3(z0))))))))))))), 0'(1(0(3(3(3(0(2(0(2(1(3(z0)))))))))))), 1'(0(3(3(3(0(2(0(2(1(3(z0))))))))))), 0'(3(3(3(0(2(0(2(1(3(z0)))))))))), 3'(3(3(0(2(0(2(1(3(z0))))))))), 3'(3(0(2(0(2(1(3(z0)))))))), 3'(0(2(0(2(1(3(z0))))))), 0'(2(0(2(1(3(z0)))))), 2'(0(2(1(3(z0))))), 0'(2(1(3(z0)))), 2'(1(3(z0))), 1'(3(z0)), 3'(z0))
   0'(c_3(c_0(c_2(c_0(c_1(c_3(c_0(c_1(c_2(c_3(c_2(c_1(c_1(c_0(c_0(c_3(c_3(c_2(c_3(z0)))))))))))))))))))) -> c14(0'(3(3(2(2(3(2(3(2(0(0(2(3(3(3(3(3(0(1(0(z0)))))))))))))))))))), 3'(3(2(2(3(2(3(2(0(0(2(3(3(3(3(3(0(1(0(z0))))))))))))))))))), 3'(2(2(3(2(3(2(0(0(2(3(3(3(3(3(0(1(0(z0)))))))))))))))))), 2'(2(3(2(3(2(0(0(2(3(3(3(3(3(0(1(0(z0))))))))))))))))), 2'(3(2(3(2(0(0(2(3(3(3(3(3(0(1(0(z0)))))))))))))))), 3'(2(3(2(0(0(2(3(3(3(3(3(0(1(0(z0))))))))))))))), 2'(3(2(0(0(2(3(3(3(3(3(0(1(0(z0)))))))))))))), 3'(2(0(0(2(3(3(3(3(3(0(1(0(z0))))))))))))), 2'(0(0(2(3(3(3(3(3(0(1(0(z0)))))))))))), 0'(0(2(3(3(3(3(3(0(1(0(z0))))))))))), 0'(2(3(3(3(3(3(0(1(0(z0)))))))))), 2'(3(3(3(3(3(0(1(0(z0))))))))), 3'(3(3(3(3(0(1(0(z0)))))))), 3'(3(3(3(0(1(0(z0))))))), 3'(3(3(0(1(0(z0)))))), 3'(3(0(1(0(z0))))), 3'(0(1(0(z0)))), 0'(1(0(z0))), 1'(0(z0)), 0'(z0))
   0'(c_3(c_2(c_2(c_2(c_3(c_2(c_2(c_3(c_1(c_3(c_0(c_3(c_2(c_3(c_0(c_3(c_3(c_1(c_3(z0)))))))))))))))))))) -> c15(3'(0(3(3(3(3(3(2(3(3(3(1(0(0(3(2(0(2(2(1(z0)))))))))))))))))))), 0'(3(3(3(3(3(2(3(3(3(1(0(0(3(2(0(2(2(1(z0))))))))))))))))))), 3'(3(3(3(3(2(3(3(3(1(0(0(3(2(0(2(2(1(z0)))))))))))))))))), 3'(3(3(3(2(3(3(3(1(0(0(3(2(0(2(2(1(z0))))))))))))))))), 3'(3(3(2(3(3(3(1(0(0(3(2(0(2(2(1(z0)))))))))))))))), 3'(3(2(3(3(3(1(0(0(3(2(0(2(2(1(z0))))))))))))))), 3'(2(3(3(3(1(0(0(3(2(0(2(2(1(z0)))))))))))))), 2'(3(3(3(1(0(0(3(2(0(2(2(1(z0))))))))))))), 3'(3(3(1(0(0(3(2(0(2(2(1(z0)))))))))))), 3'(3(1(0(0(3(2(0(2(2(1(z0))))))))))), 3'(1(0(0(3(2(0(2(2(1(z0)))))))))), 1'(0(0(3(2(0(2(2(1(z0))))))))), 0'(0(3(2(0(2(2(1(z0)))))))), 0'(3(2(0(2(2(1(z0))))))), 3'(2(0(2(2(1(z0)))))), 2'(0(2(2(1(z0))))), 0'(2(2(1(z0)))), 2'(2(1(z0))), 2'(1(z0)), 1'(z0))
   0'(c_0(c_3(c_1(c_0(c_2(c_0(c_3(c_1(c_0(c_0(c_3(c_0(c_0(c_0(c_3(c_2(c_0(c_2(c_3(z0)))))))))))))))))))) -> c16(0'(0(1(0(2(1(3(0(1(0(0(3(1(0(3(3(2(2(3(3(z0)))))))))))))))))))), 0'(1(0(2(1(3(0(1(0(0(3(1(0(3(3(2(2(3(3(z0))))))))))))))))))), 1'(0(2(1(3(0(1(0(0(3(1(0(3(3(2(2(3(3(z0)))))))))))))))))), 0'(2(1(3(0(1(0(0(3(1(0(3(3(2(2(3(3(z0))))))))))))))))), 2'(1(3(0(1(0(0(3(1(0(3(3(2(2(3(3(z0)))))))))))))))), 1'(3(0(1(0(0(3(1(0(3(3(2(2(3(3(z0))))))))))))))), 3'(0(1(0(0(3(1(0(3(3(2(2(3(3(z0)))))))))))))), 0'(1(0(0(3(1(0(3(3(2(2(3(3(z0))))))))))))), 1'(0(0(3(1(0(3(3(2(2(3(3(z0)))))))))))), 0'(0(3(1(0(3(3(2(2(3(3(z0))))))))))), 0'(3(1(0(3(3(2(2(3(3(z0)))))))))), 3'(1(0(3(3(2(2(3(3(z0))))))))), 1'(0(3(3(2(2(3(3(z0)))))))), 0'(3(3(2(2(3(3(z0))))))), 3'(3(2(2(3(3(z0)))))), 3'(2(2(3(3(z0))))), 2'(2(3(3(z0)))), 2'(3(3(z0))), 3'(3(z0)), 3'(z0))
   0'(c_0(c_0(c_1(c_1(c_0(c_3(c_3(c_3(c_3(c_0(c_1(c_0(c_2(c_2(c_1(c_3(c_2(c_0(c_0(z0)))))))))))))))))))) -> c17(0'(0(1(3(3(0(1(3(3(0(1(2(3(2(2(0(3(2(3(3(z0)))))))))))))))))))), 0'(1(3(3(0(1(3(3(0(1(2(3(2(2(0(3(2(3(3(z0))))))))))))))))))), 1'(3(3(0(1(3(3(0(1(2(3(2(2(0(3(2(3(3(z0)))))))))))))))))), 3'(3(0(1(3(3(0(1(2(3(2(2(0(3(2(3(3(z0))))))))))))))))), 3'(0(1(3(3(0(1(2(3(2(2(0(3(2(3(3(z0)))))))))))))))), 0'(1(3(3(0(1(2(3(2(2(0(3(2(3(3(z0))))))))))))))), 1'(3(3(0(1(2(3(2(2(0(3(2(3(3(z0)))))))))))))), 3'(3(0(1(2(3(2(2(0(3(2(3(3(z0))))))))))))), 3'(0(1(2(3(2(2(0(3(2(3(3(z0)))))))))))), 0'(1(2(3(2(2(0(3(2(3(3(z0))))))))))), 1'(2(3(2(2(0(3(2(3(3(z0)))))))))), 2'(3(2(2(0(3(2(3(3(z0))))))))), 3'(2(2(0(3(2(3(3(z0)))))))), 2'(2(0(3(2(3(3(z0))))))), 2'(0(3(2(3(3(z0)))))), 0'(3(2(3(3(z0))))), 3'(2(3(3(z0)))), 2'(3(3(z0))), 3'(3(z0)), 3'(z0))
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   3'(c_3(c_3(c_3(c_1(c_1(c_3(c_2(c_3(c_0(c_3(c_3(c_0(c_3(c_2(c_1(c_0(c_0(c_2(c_2(z0)))))))))))))))))))) -> c107(3'(3(0(3(0(0(3(3(3(1(3(1(1(0(3(0(2(0(1(2(z0)))))))))))))))))))), 3'(0(3(0(0(3(3(3(1(3(1(1(0(3(0(2(0(1(2(z0))))))))))))))))))), 0'(3(0(0(3(3(3(1(3(1(1(0(3(0(2(0(1(2(z0)))))))))))))))))), 3'(0(0(3(3(3(1(3(1(1(0(3(0(2(0(1(2(z0))))))))))))))))), 0'(0(3(3(3(1(3(1(1(0(3(0(2(0(1(2(z0)))))))))))))))), 0'(3(3(3(1(3(1(1(0(3(0(2(0(1(2(z0))))))))))))))), 3'(3(3(1(3(1(1(0(3(0(2(0(1(2(z0)))))))))))))), 3'(3(1(3(1(1(0(3(0(2(0(1(2(z0))))))))))))), 3'(1(3(1(1(0(3(0(2(0(1(2(z0)))))))))))), 1'(3(1(1(0(3(0(2(0(1(2(z0))))))))))), 3'(1(1(0(3(0(2(0(1(2(z0)))))))))), 1'(1(0(3(0(2(0(1(2(z0))))))))), 1'(0(3(0(2(0(1(2(z0)))))))), 0'(3(0(2(0(1(2(z0))))))), 3'(0(2(0(1(2(z0)))))), 0'(2(0(1(2(z0))))), 2'(0(1(2(z0)))), 0'(1(2(z0))), 1'(2(z0)), 2'(z0))
   3'(c_2(c_3(c_0(c_1(c_3(c_2(c_2(c_0(c_1(c_1(c_3(c_3(c_3(c_1(c_2(c_3(c_1(c_1(c_0(z0)))))))))))))))))))) -> c108(0'(0(0(0(3(2(3(1(1(1(0(1(0(0(3(3(0(2(3(1(z0)))))))))))))))))))), 0'(0(0(3(2(3(1(1(1(0(1(0(0(3(3(0(2(3(1(z0))))))))))))))))))), 0'(0(3(2(3(1(1(1(0(1(0(0(3(3(0(2(3(1(z0)))))))))))))))))), 0'(3(2(3(1(1(1(0(1(0(0(3(3(0(2(3(1(z0))))))))))))))))), 3'(2(3(1(1(1(0(1(0(0(3(3(0(2(3(1(z0)))))))))))))))), 2'(3(1(1(1(0(1(0(0(3(3(0(2(3(1(z0))))))))))))))), 3'(1(1(1(0(1(0(0(3(3(0(2(3(1(z0)))))))))))))), 1'(1(1(0(1(0(0(3(3(0(2(3(1(z0))))))))))))), 1'(1(0(1(0(0(3(3(0(2(3(1(z0)))))))))))), 1'(0(1(0(0(3(3(0(2(3(1(z0))))))))))), 0'(1(0(0(3(3(0(2(3(1(z0)))))))))), 1'(0(0(3(3(0(2(3(1(z0))))))))), 0'(0(3(3(0(2(3(1(z0)))))))), 0'(3(3(0(2(3(1(z0))))))), 3'(3(0(2(3(1(z0)))))), 3'(0(2(3(1(z0))))), 0'(2(3(1(z0)))), 2'(3(1(z0))), 3'(1(z0)), 1'(z0))
   3'(c_0(c_3(c_2(c_2(c_2(c_3(c_1(c_3(c_0(c_2(c_1(c_0(c_1(c_0(c_2(c_2(c_3(c_3(c_1(z0)))))))))))))))))))) -> c109(2'(3(0(0(3(1(2(0(3(3(0(0(0(3(3(3(1(0(2(2(z0)))))))))))))))))))), 3'(0(0(3(1(2(0(3(3(0(0(0(3(3(3(1(0(2(2(z0))))))))))))))))))), 0'(0(3(1(2(0(3(3(0(0(0(3(3(3(1(0(2(2(z0)))))))))))))))))), 0'(3(1(2(0(3(3(0(0(0(3(3(3(1(0(2(2(z0))))))))))))))))), 3'(1(2(0(3(3(0(0(0(3(3(3(1(0(2(2(z0)))))))))))))))), 1'(2(0(3(3(0(0(0(3(3(3(1(0(2(2(z0))))))))))))))), 2'(0(3(3(0(0(0(3(3(3(1(0(2(2(z0)))))))))))))), 0'(3(3(0(0(0(3(3(3(1(0(2(2(z0))))))))))))), 3'(3(0(0(0(3(3(3(1(0(2(2(z0)))))))))))), 3'(0(0(0(3(3(3(1(0(2(2(z0))))))))))), 0'(0(0(3(3(3(1(0(2(2(z0)))))))))), 0'(0(3(3(3(1(0(2(2(z0))))))))), 0'(3(3(3(1(0(2(2(z0)))))))), 3'(3(3(1(0(2(2(z0))))))), 3'(3(1(0(2(2(z0)))))), 3'(1(0(2(2(z0))))), 1'(0(2(2(z0)))), 0'(2(2(z0))), 2'(2(z0)), 2'(z0))
   3'(c_2(c_0(c_3(c_3(c_1(c_3(c_2(c_3(c_0(c_3(c_2(c_3(c_1(c_3(c_0(c_2(c_1(c_3(c_0(z0)))))))))))))))))))) -> c110(3'(3(3(0(2(3(3(0(2(0(3(3(3(3(1(0(0(1(3(0(z0)))))))))))))))))))), 3'(3(0(2(3(3(0(2(0(3(3(3(3(1(0(0(1(3(0(z0))))))))))))))))))), 3'(0(2(3(3(0(2(0(3(3(3(3(1(0(0(1(3(0(z0)))))))))))))))))), 0'(2(3(3(0(2(0(3(3(3(3(1(0(0(1(3(0(z0))))))))))))))))), 2'(3(3(0(2(0(3(3(3(3(1(0(0(1(3(0(z0)))))))))))))))), 3'(3(0(2(0(3(3(3(3(1(0(0(1(3(0(z0))))))))))))))), 3'(0(2(0(3(3(3(3(1(0(0(1(3(0(z0)))))))))))))), 0'(2(0(3(3(3(3(1(0(0(1(3(0(z0))))))))))))), 2'(0(3(3(3(3(1(0(0(1(3(0(z0)))))))))))), 0'(3(3(3(3(1(0(0(1(3(0(z0))))))))))), 3'(3(3(3(1(0(0(1(3(0(z0)))))))))), 3'(3(3(1(0(0(1(3(0(z0))))))))), 3'(3(1(0(0(1(3(0(z0)))))))), 3'(1(0(0(1(3(0(z0))))))), 1'(0(0(1(3(0(z0)))))), 0'(0(1(3(0(z0))))), 0'(1(3(0(z0)))), 1'(3(0(z0))), 3'(0(z0)), 0'(z0))
   ENCODE_0(z0) -> c8(0'(encArg(z0)))
   ENCODE_0(z0) -> c8(ENCARG(z0))
   ENCODE_1(z0) -> c8(1'(encArg(z0)))
   ENCODE_1(z0) -> c8(ENCARG(z0))
   ENCODE_2(z0) -> c8(2'(encArg(z0)))
   ENCODE_2(z0) -> c8(ENCARG(z0))
   ENCODE_3(z0) -> c8(3'(encArg(z0)))
   ENCODE_3(z0) -> c8(ENCARG(z0))
S tuples:
   0'(c_1(c_1(c_1(c_0(c_0(c_0(c_0(c_0(c_0(c_3(c_0(c_1(c_0(c_1(c_0(c_2(c_0(c_3(c_1(z0)))))))))))))))))))) -> c9(1'(0(2(1(3(0(1(0(2(3(0(0(3(3(0(1(0(0(1(0(z0)))))))))))))))))))), 0'(2(1(3(0(1(0(2(3(0(0(3(3(0(1(0(0(1(0(z0))))))))))))))))))), 2'(1(3(0(1(0(2(3(0(0(3(3(0(1(0(0(1(0(z0)))))))))))))))))), 1'(3(0(1(0(2(3(0(0(3(3(0(1(0(0(1(0(z0))))))))))))))))), 3'(0(1(0(2(3(0(0(3(3(0(1(0(0(1(0(z0)))))))))))))))), 0'(1(0(2(3(0(0(3(3(0(1(0(0(1(0(z0))))))))))))))), 1'(0(2(3(0(0(3(3(0(1(0(0(1(0(z0)))))))))))))), 0'(2(3(0(0(3(3(0(1(0(0(1(0(z0))))))))))))), 2'(3(0(0(3(3(0(1(0(0(1(0(z0)))))))))))), 3'(0(0(3(3(0(1(0(0(1(0(z0))))))))))), 0'(0(3(3(0(1(0(0(1(0(z0)))))))))), 0'(3(3(0(1(0(0(1(0(z0))))))))), 3'(3(0(1(0(0(1(0(z0)))))))), 3'(0(1(0(0(1(0(z0))))))), 0'(1(0(0(1(0(z0)))))), 1'(0(0(1(0(z0))))), 0'(0(1(0(z0)))), 0'(1(0(z0))), 1'(0(z0)), 0'(z0))
   0'(c_0(c_1(c_2(c_3(c_0(c_1(c_0(c_3(c_0(c_3(c_1(c_1(c_1(c_0(c_1(c_3(c_3(c_2(c_3(z0)))))))))))))))))))) -> c10(3'(0(3(1(1(0(2(3(0(3(3(1(3(1(0(3(0(1(2(3(z0)))))))))))))))))))), 0'(3(1(1(0(2(3(0(3(3(1(3(1(0(3(0(1(2(3(z0))))))))))))))))))), 3'(1(1(0(2(3(0(3(3(1(3(1(0(3(0(1(2(3(z0)))))))))))))))))), 1'(1(0(2(3(0(3(3(1(3(1(0(3(0(1(2(3(z0))))))))))))))))), 1'(0(2(3(0(3(3(1(3(1(0(3(0(1(2(3(z0)))))))))))))))), 0'(2(3(0(3(3(1(3(1(0(3(0(1(2(3(z0))))))))))))))), 2'(3(0(3(3(1(3(1(0(3(0(1(2(3(z0)))))))))))))), 3'(0(3(3(1(3(1(0(3(0(1(2(3(z0))))))))))))), 0'(3(3(1(3(1(0(3(0(1(2(3(z0)))))))))))), 3'(3(1(3(1(0(3(0(1(2(3(z0))))))))))), 3'(1(3(1(0(3(0(1(2(3(z0)))))))))), 1'(3(1(0(3(0(1(2(3(z0))))))))), 3'(1(0(3(0(1(2(3(z0)))))))), 1'(0(3(0(1(2(3(z0))))))), 0'(3(0(1(2(3(z0)))))), 3'(0(1(2(3(z0))))), 0'(1(2(3(z0)))), 1'(2(3(z0))), 2'(3(z0)), 3'(z0))
   0'(c_2(c_0(c_3(c_1(c_1(c_3(c_2(c_3(c_3(c_0(c_2(c_2(c_0(c_2(c_3(c_0(c_0(c_2(c_3(z0)))))))))))))))))))) -> c11(0'(0(3(3(2(3(3(3(0(1(1(1(2(2(3(1(3(1(1(3(z0)))))))))))))))))))), 0'(3(3(2(3(3(3(0(1(1(1(2(2(3(1(3(1(1(3(z0))))))))))))))))))), 3'(3(2(3(3(3(0(1(1(1(2(2(3(1(3(1(1(3(z0)))))))))))))))))), 3'(2(3(3(3(0(1(1(1(2(2(3(1(3(1(1(3(z0))))))))))))))))), 2'(3(3(3(0(1(1(1(2(2(3(1(3(1(1(3(z0)))))))))))))))), 3'(3(3(0(1(1(1(2(2(3(1(3(1(1(3(z0))))))))))))))), 3'(3(0(1(1(1(2(2(3(1(3(1(1(3(z0)))))))))))))), 3'(0(1(1(1(2(2(3(1(3(1(1(3(z0))))))))))))), 0'(1(1(1(2(2(3(1(3(1(1(3(z0)))))))))))), 1'(1(1(2(2(3(1(3(1(1(3(z0))))))))))), 1'(1(2(2(3(1(3(1(1(3(z0)))))))))), 1'(2(2(3(1(3(1(1(3(z0))))))))), 2'(2(3(1(3(1(1(3(z0)))))))), 2'(3(1(3(1(1(3(z0))))))), 3'(1(3(1(1(3(z0)))))), 1'(3(1(1(3(z0))))), 3'(1(1(3(z0)))), 1'(1(3(z0))), 1'(3(z0)), 3'(z0))
   0'(c_0(c_1(c_1(c_0(c_1(c_0(c_2(c_3(c_1(c_3(c_3(c_3(c_1(c_2(c_2(c_0(c_0(c_2(c_3(z0)))))))))))))))))))) -> c12(0'(0(3(0(2(1(3(3(1(3(2(3(3(3(2(0(0(1(0(2(z0)))))))))))))))))))), 0'(3(0(2(1(3(3(1(3(2(3(3(3(2(0(0(1(0(2(z0))))))))))))))))))), 3'(0(2(1(3(3(1(3(2(3(3(3(2(0(0(1(0(2(z0)))))))))))))))))), 0'(2(1(3(3(1(3(2(3(3(3(2(0(0(1(0(2(z0))))))))))))))))), 2'(1(3(3(1(3(2(3(3(3(2(0(0(1(0(2(z0)))))))))))))))), 1'(3(3(1(3(2(3(3(3(2(0(0(1(0(2(z0))))))))))))))), 3'(3(1(3(2(3(3(3(2(0(0(1(0(2(z0)))))))))))))), 3'(1(3(2(3(3(3(2(0(0(1(0(2(z0))))))))))))), 1'(3(2(3(3(3(2(0(0(1(0(2(z0)))))))))))), 3'(2(3(3(3(2(0(0(1(0(2(z0))))))))))), 2'(3(3(3(2(0(0(1(0(2(z0)))))))))), 3'(3(3(2(0(0(1(0(2(z0))))))))), 3'(3(2(0(0(1(0(2(z0)))))))), 3'(2(0(0(1(0(2(z0))))))), 2'(0(0(1(0(2(z0)))))), 0'(0(1(0(2(z0))))), 0'(1(0(2(z0)))), 1'(0(2(z0))), 0'(2(z0)), 2'(z0))
   0'(c_1(c_0(c_1(c_1(c_3(c_3(c_0(c_0(c_1(c_3(c_1(c_3(c_0(c_2(c_3(c_0(c_3(c_2(c_3(z0)))))))))))))))))))) -> c13(1'(2(3(3(0(1(3(3(0(1(0(3(3(3(0(2(0(2(1(3(z0)))))))))))))))))))), 2'(3(3(0(1(3(3(0(1(0(3(3(3(0(2(0(2(1(3(z0))))))))))))))))))), 3'(3(0(1(3(3(0(1(0(3(3(3(0(2(0(2(1(3(z0)))))))))))))))))), 3'(0(1(3(3(0(1(0(3(3(3(0(2(0(2(1(3(z0))))))))))))))))), 0'(1(3(3(0(1(0(3(3(3(0(2(0(2(1(3(z0)))))))))))))))), 1'(3(3(0(1(0(3(3(3(0(2(0(2(1(3(z0))))))))))))))), 3'(3(0(1(0(3(3(3(0(2(0(2(1(3(z0)))))))))))))), 3'(0(1(0(3(3(3(0(2(0(2(1(3(z0))))))))))))), 0'(1(0(3(3(3(0(2(0(2(1(3(z0)))))))))))), 1'(0(3(3(3(0(2(0(2(1(3(z0))))))))))), 0'(3(3(3(0(2(0(2(1(3(z0)))))))))), 3'(3(3(0(2(0(2(1(3(z0))))))))), 3'(3(0(2(0(2(1(3(z0)))))))), 3'(0(2(0(2(1(3(z0))))))), 0'(2(0(2(1(3(z0)))))), 2'(0(2(1(3(z0))))), 0'(2(1(3(z0)))), 2'(1(3(z0))), 1'(3(z0)), 3'(z0))
   0'(c_3(c_0(c_2(c_0(c_1(c_3(c_0(c_1(c_2(c_3(c_2(c_1(c_1(c_0(c_0(c_3(c_3(c_2(c_3(z0)))))))))))))))))))) -> c14(0'(3(3(2(2(3(2(3(2(0(0(2(3(3(3(3(3(0(1(0(z0)))))))))))))))))))), 3'(3(2(2(3(2(3(2(0(0(2(3(3(3(3(3(0(1(0(z0))))))))))))))))))), 3'(2(2(3(2(3(2(0(0(2(3(3(3(3(3(0(1(0(z0)))))))))))))))))), 2'(2(3(2(3(2(0(0(2(3(3(3(3(3(0(1(0(z0))))))))))))))))), 2'(3(2(3(2(0(0(2(3(3(3(3(3(0(1(0(z0)))))))))))))))), 3'(2(3(2(0(0(2(3(3(3(3(3(0(1(0(z0))))))))))))))), 2'(3(2(0(0(2(3(3(3(3(3(0(1(0(z0)))))))))))))), 3'(2(0(0(2(3(3(3(3(3(0(1(0(z0))))))))))))), 2'(0(0(2(3(3(3(3(3(0(1(0(z0)))))))))))), 0'(0(2(3(3(3(3(3(0(1(0(z0))))))))))), 0'(2(3(3(3(3(3(0(1(0(z0)))))))))), 2'(3(3(3(3(3(0(1(0(z0))))))))), 3'(3(3(3(3(0(1(0(z0)))))))), 3'(3(3(3(0(1(0(z0))))))), 3'(3(3(0(1(0(z0)))))), 3'(3(0(1(0(z0))))), 3'(0(1(0(z0)))), 0'(1(0(z0))), 1'(0(z0)), 0'(z0))
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   3'(c_3(c_1(c_0(c_1(c_3(c_0(c_0(c_3(c_1(c_2(c_1(c_0(c_0(c_3(c_0(c_1(c_0(c_3(c_1(z0)))))))))))))))))))) -> c106(1'(3(3(3(3(2(3(2(2(0(3(1(0(0(1(3(0(3(3(1(z0)))))))))))))))))))), 3'(3(3(3(2(3(2(2(0(3(1(0(0(1(3(0(3(3(1(z0))))))))))))))))))), 3'(3(3(2(3(2(2(0(3(1(0(0(1(3(0(3(3(1(z0)))))))))))))))))), 3'(3(2(3(2(2(0(3(1(0(0(1(3(0(3(3(1(z0))))))))))))))))), 3'(2(3(2(2(0(3(1(0(0(1(3(0(3(3(1(z0)))))))))))))))), 2'(3(2(2(0(3(1(0(0(1(3(0(3(3(1(z0))))))))))))))), 3'(2(2(0(3(1(0(0(1(3(0(3(3(1(z0)))))))))))))), 2'(2(0(3(1(0(0(1(3(0(3(3(1(z0))))))))))))), 2'(0(3(1(0(0(1(3(0(3(3(1(z0)))))))))))), 0'(3(1(0(0(1(3(0(3(3(1(z0))))))))))), 3'(1(0(0(1(3(0(3(3(1(z0)))))))))), 1'(0(0(1(3(0(3(3(1(z0))))))))), 0'(0(1(3(0(3(3(1(z0)))))))), 0'(1(3(0(3(3(1(z0))))))), 1'(3(0(3(3(1(z0)))))), 3'(0(3(3(1(z0))))), 0'(3(3(1(z0)))), 3'(3(1(z0))), 3'(1(z0)), 1'(z0))
   3'(c_3(c_3(c_3(c_1(c_1(c_3(c_2(c_3(c_0(c_3(c_3(c_0(c_3(c_2(c_1(c_0(c_0(c_2(c_2(z0)))))))))))))))))))) -> c107(3'(3(0(3(0(0(3(3(3(1(3(1(1(0(3(0(2(0(1(2(z0)))))))))))))))))))), 3'(0(3(0(0(3(3(3(1(3(1(1(0(3(0(2(0(1(2(z0))))))))))))))))))), 0'(3(0(0(3(3(3(1(3(1(1(0(3(0(2(0(1(2(z0)))))))))))))))))), 3'(0(0(3(3(3(1(3(1(1(0(3(0(2(0(1(2(z0))))))))))))))))), 0'(0(3(3(3(1(3(1(1(0(3(0(2(0(1(2(z0)))))))))))))))), 0'(3(3(3(1(3(1(1(0(3(0(2(0(1(2(z0))))))))))))))), 3'(3(3(1(3(1(1(0(3(0(2(0(1(2(z0)))))))))))))), 3'(3(1(3(1(1(0(3(0(2(0(1(2(z0))))))))))))), 3'(1(3(1(1(0(3(0(2(0(1(2(z0)))))))))))), 1'(3(1(1(0(3(0(2(0(1(2(z0))))))))))), 3'(1(1(0(3(0(2(0(1(2(z0)))))))))), 1'(1(0(3(0(2(0(1(2(z0))))))))), 1'(0(3(0(2(0(1(2(z0)))))))), 0'(3(0(2(0(1(2(z0))))))), 3'(0(2(0(1(2(z0)))))), 0'(2(0(1(2(z0))))), 2'(0(1(2(z0)))), 0'(1(2(z0))), 1'(2(z0)), 2'(z0))
   3'(c_2(c_3(c_0(c_1(c_3(c_2(c_2(c_0(c_1(c_1(c_3(c_3(c_3(c_1(c_2(c_3(c_1(c_1(c_0(z0)))))))))))))))))))) -> c108(0'(0(0(0(3(2(3(1(1(1(0(1(0(0(3(3(0(2(3(1(z0)))))))))))))))))))), 0'(0(0(3(2(3(1(1(1(0(1(0(0(3(3(0(2(3(1(z0))))))))))))))))))), 0'(0(3(2(3(1(1(1(0(1(0(0(3(3(0(2(3(1(z0)))))))))))))))))), 0'(3(2(3(1(1(1(0(1(0(0(3(3(0(2(3(1(z0))))))))))))))))), 3'(2(3(1(1(1(0(1(0(0(3(3(0(2(3(1(z0)))))))))))))))), 2'(3(1(1(1(0(1(0(0(3(3(0(2(3(1(z0))))))))))))))), 3'(1(1(1(0(1(0(0(3(3(0(2(3(1(z0)))))))))))))), 1'(1(1(0(1(0(0(3(3(0(2(3(1(z0))))))))))))), 1'(1(0(1(0(0(3(3(0(2(3(1(z0)))))))))))), 1'(0(1(0(0(3(3(0(2(3(1(z0))))))))))), 0'(1(0(0(3(3(0(2(3(1(z0)))))))))), 1'(0(0(3(3(0(2(3(1(z0))))))))), 0'(0(3(3(0(2(3(1(z0)))))))), 0'(3(3(0(2(3(1(z0))))))), 3'(3(0(2(3(1(z0)))))), 3'(0(2(3(1(z0))))), 0'(2(3(1(z0)))), 2'(3(1(z0))), 3'(1(z0)), 1'(z0))
   3'(c_0(c_3(c_2(c_2(c_2(c_3(c_1(c_3(c_0(c_2(c_1(c_0(c_1(c_0(c_2(c_2(c_3(c_3(c_1(z0)))))))))))))))))))) -> c109(2'(3(0(0(3(1(2(0(3(3(0(0(0(3(3(3(1(0(2(2(z0)))))))))))))))))))), 3'(0(0(3(1(2(0(3(3(0(0(0(3(3(3(1(0(2(2(z0))))))))))))))))))), 0'(0(3(1(2(0(3(3(0(0(0(3(3(3(1(0(2(2(z0)))))))))))))))))), 0'(3(1(2(0(3(3(0(0(0(3(3(3(1(0(2(2(z0))))))))))))))))), 3'(1(2(0(3(3(0(0(0(3(3(3(1(0(2(2(z0)))))))))))))))), 1'(2(0(3(3(0(0(0(3(3(3(1(0(2(2(z0))))))))))))))), 2'(0(3(3(0(0(0(3(3(3(1(0(2(2(z0)))))))))))))), 0'(3(3(0(0(0(3(3(3(1(0(2(2(z0))))))))))))), 3'(3(0(0(0(3(3(3(1(0(2(2(z0)))))))))))), 3'(0(0(0(3(3(3(1(0(2(2(z0))))))))))), 0'(0(0(3(3(3(1(0(2(2(z0)))))))))), 0'(0(3(3(3(1(0(2(2(z0))))))))), 0'(3(3(3(1(0(2(2(z0)))))))), 3'(3(3(1(0(2(2(z0))))))), 3'(3(1(0(2(2(z0)))))), 3'(1(0(2(2(z0))))), 1'(0(2(2(z0)))), 0'(2(2(z0))), 2'(2(z0)), 2'(z0))
   3'(c_2(c_0(c_3(c_3(c_1(c_3(c_2(c_3(c_0(c_3(c_2(c_3(c_1(c_3(c_0(c_2(c_1(c_3(c_0(z0)))))))))))))))))))) -> c110(3'(3(3(0(2(3(3(0(2(0(3(3(3(3(1(0(0(1(3(0(z0)))))))))))))))))))), 3'(3(0(2(3(3(0(2(0(3(3(3(3(1(0(0(1(3(0(z0))))))))))))))))))), 3'(0(2(3(3(0(2(0(3(3(3(3(1(0(0(1(3(0(z0)))))))))))))))))), 0'(2(3(3(0(2(0(3(3(3(3(1(0(0(1(3(0(z0))))))))))))))))), 2'(3(3(0(2(0(3(3(3(3(1(0(0(1(3(0(z0)))))))))))))))), 3'(3(0(2(0(3(3(3(3(1(0(0(1(3(0(z0))))))))))))))), 3'(0(2(0(3(3(3(3(1(0(0(1(3(0(z0)))))))))))))), 0'(2(0(3(3(3(3(1(0(0(1(3(0(z0))))))))))))), 2'(0(3(3(3(3(1(0(0(1(3(0(z0)))))))))))), 0'(3(3(3(3(1(0(0(1(3(0(z0))))))))))), 3'(3(3(3(1(0(0(1(3(0(z0)))))))))), 3'(3(3(1(0(0(1(3(0(z0))))))))), 3'(3(1(0(0(1(3(0(z0)))))))), 3'(1(0(0(1(3(0(z0))))))), 1'(0(0(1(3(0(z0)))))), 0'(0(1(3(0(z0))))), 0'(1(3(0(z0)))), 1'(3(0(z0))), 3'(0(z0)), 0'(z0))
K tuples:none
Defined Rule Symbols:   0_1, 2_1, 3_1, 1_1, encArg_1, encode_0_1, encode_1_1, encode_2_1, encode_3_1

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

Compound Symbols:   c_2, c1_2, c2_2, c3_2, c9_20, c10_20, 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_20, c33_20, c34_20, c35_20, c37_20, c38_20, c39_20, c40_20, c41_20, c42_20, c43_20, c44_20, c45_20, c46_20, c47_20, c48_20, c49_20, c50_20, c51_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_20, c73_20, c74_20, c75_20, c76_20, c77_20, c78_20, c79_20, c80_20, c81_20, c82_20, c83_20, c84_20, c85_20, c86_20, c87_20, c88_20, c90_20, c91_20, c92_20, c93_20, c94_20, c95_20, c96_20, c97_20, c98_20, c99_20, c100_20, c101_20, c102_20, c103_20, c104_20, c105_20, c106_20, c107_20, c108_20, c109_20, c110_20, c8_1


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

(43) CdtLeafRemovalProof (ComplexityIfPolyImplication)
Removed 4 leading nodes:
   ENCODE_0(z0) -> c8(ENCARG(z0))
   ENCODE_1(z0) -> c8(ENCARG(z0))
   ENCODE_2(z0) -> c8(ENCARG(z0))
   ENCODE_3(z0) -> c8(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))
   encode_0(z0) -> 0(encArg(z0))
   encode_1(z0) -> 1(encArg(z0))
   encode_2(z0) -> 2(encArg(z0))
   encode_3(z0) -> 3(encArg(z0))
   0(z0) -> c_0(z0)
   0(c_1(c_1(c_1(c_0(c_0(c_0(c_0(c_0(c_0(c_3(c_0(c_1(c_0(c_1(c_0(c_2(c_0(c_3(c_1(z0)))))))))))))))))))) -> 1(0(2(1(3(0(1(0(2(3(0(0(3(3(0(1(0(0(1(0(z0))))))))))))))))))))
   0(c_0(c_1(c_2(c_3(c_0(c_1(c_0(c_3(c_0(c_3(c_1(c_1(c_1(c_0(c_1(c_3(c_3(c_2(c_3(z0)))))))))))))))))))) -> 3(0(3(1(1(0(2(3(0(3(3(1(3(1(0(3(0(1(2(3(z0))))))))))))))))))))
   0(c_2(c_0(c_3(c_1(c_1(c_3(c_2(c_3(c_3(c_0(c_2(c_2(c_0(c_2(c_3(c_0(c_0(c_2(c_3(z0)))))))))))))))))))) -> 0(0(3(3(2(3(3(3(0(1(1(1(2(2(3(1(3(1(1(3(z0))))))))))))))))))))
   0(c_0(c_1(c_1(c_0(c_1(c_0(c_2(c_3(c_1(c_3(c_3(c_3(c_1(c_2(c_2(c_0(c_0(c_2(c_3(z0)))))))))))))))))))) -> 0(0(3(0(2(1(3(3(1(3(2(3(3(3(2(0(0(1(0(2(z0))))))))))))))))))))
   0(c_1(c_0(c_1(c_1(c_3(c_3(c_0(c_0(c_1(c_3(c_1(c_3(c_0(c_2(c_3(c_0(c_3(c_2(c_3(z0)))))))))))))))))))) -> 1(2(3(3(0(1(3(3(0(1(0(3(3(3(0(2(0(2(1(3(z0))))))))))))))))))))
   0(c_3(c_0(c_2(c_0(c_1(c_3(c_0(c_1(c_2(c_3(c_2(c_1(c_1(c_0(c_0(c_3(c_3(c_2(c_3(z0)))))))))))))))))))) -> 0(3(3(2(2(3(2(3(2(0(0(2(3(3(3(3(3(0(1(0(z0))))))))))))))))))))
   0(c_3(c_2(c_2(c_2(c_3(c_2(c_2(c_3(c_1(c_3(c_0(c_3(c_2(c_3(c_0(c_3(c_3(c_1(c_3(z0)))))))))))))))))))) -> 3(0(3(3(3(3(3(2(3(3(3(1(0(0(3(2(0(2(2(1(z0))))))))))))))))))))
   0(c_0(c_3(c_1(c_0(c_2(c_0(c_3(c_1(c_0(c_0(c_3(c_0(c_0(c_0(c_3(c_2(c_0(c_2(c_3(z0)))))))))))))))))))) -> 0(0(1(0(2(1(3(0(1(0(0(3(1(0(3(3(2(2(3(3(z0))))))))))))))))))))
   0(c_0(c_0(c_1(c_1(c_0(c_3(c_3(c_3(c_3(c_0(c_1(c_0(c_2(c_2(c_1(c_3(c_2(c_0(c_0(z0)))))))))))))))))))) -> 0(0(1(3(3(0(1(3(3(0(1(2(3(2(2(0(3(2(3(3(z0))))))))))))))))))))
   0(c_1(c_3(c_1(c_2(c_1(c_3(c_1(c_3(c_3(c_1(c_2(c_2(c_1(c_0(c_3(c_2(c_1(c_1(c_1(z0)))))))))))))))))))) -> 0(0(2(0(0(3(3(1(1(1(1(3(0(1(1(0(0(2(1(2(z0))))))))))))))))))))
   0(c_0(c_3(c_2(c_0(c_3(c_3(c_2(c_0(c_2(c_1(c_3(c_3(c_3(c_2(c_2(c_3(c_1(c_2(c_3(z0)))))))))))))))))))) -> 3(1(3(0(1(0(0(0(1(1(3(0(2(2(1(2(3(1(0(3(z0))))))))))))))))))))
   0(c_2(c_2(c_1(c_1(c_2(c_0(c_1(c_1(c_0(c_0(c_1(c_1(c_2(c_0(c_1(c_0(c_3(c_3(c_3(z0)))))))))))))))))))) -> 3(1(0(1(3(1(0(3(0(3(1(3(2(1(0(1(1(3(1(3(z0))))))))))))))))))))
   0(c_2(c_2(c_2(c_1(c_2(c_2(c_1(c_1(c_1(c_1(c_2(c_3(c_2(c_0(c_3(c_3(c_3(c_3(c_0(z0)))))))))))))))))))) -> 3(1(2(3(3(3(1(0(3(3(2(0(2(2(3(1(1(1(3(1(z0))))))))))))))))))))
   0(c_0(c_3(c_2(c_1(c_2(c_0(c_2(c_3(c_2(c_1(c_0(c_1(c_0(c_3(c_3(c_0(c_0(c_3(c_1(z0)))))))))))))))))))) -> 3(2(3(3(0(3(1(1(0(1(1(1(1(1(3(0(3(3(0(1(z0))))))))))))))))))))
   0(c_1(c_3(c_3(c_0(c_0(c_2(c_2(c_3(c_2(c_0(c_0(c_0(c_1(c_2(c_0(c_3(c_2(c_1(c_3(z0)))))))))))))))))))) -> 0(0(3(0(0(0(2(1(0(0(1(2(0(0(3(3(3(3(1(0(z0))))))))))))))))))))
   0(c_0(c_3(c_0(c_1(c_3(c_1(c_2(c_1(c_1(c_3(c_0(c_0(c_1(c_3(c_0(c_1(c_2(c_1(c_3(z0)))))))))))))))))))) -> 2(3(1(2(3(2(3(3(0(2(3(3(0(0(0(2(1(2(3(3(z0))))))))))))))))))))
   0(c_2(c_2(c_3(c_3(c_0(c_0(c_3(c_3(c_1(c_3(c_0(c_3(c_2(c_2(c_1(c_1(c_2(c_3(c_3(z0)))))))))))))))))))) -> 1(3(3(3(0(1(0(0(3(0(1(3(3(3(3(0(2(3(2(3(z0))))))))))))))))))))
   0(c_0(c_1(c_2(c_2(c_1(c_3(c_3(c_2(c_2(c_1(c_2(c_0(c_2(c_3(c_0(c_0(c_1(c_3(c_3(z0)))))))))))))))))))) -> 3(0(1(2(1(2(0(2(2(1(3(2(2(3(3(3(3(3(3(3(z0))))))))))))))))))))
   0(c_1(c_3(c_1(c_0(c_1(c_3(c_3(c_1(c_3(c_1(c_2(c_2(c_0(c_0(c_1(c_3(c_3(c_0(c_0(z0)))))))))))))))))))) -> 1(1(1(3(1(3(0(2(3(2(3(0(2(3(3(2(3(3(0(3(z0))))))))))))))))))))
   0(c_0(c_0(c_0(c_1(c_0(c_2(c_3(c_1(c_3(c_0(c_2(c_0(c_1(c_0(c_2(c_1(c_2(c_3(c_3(z0)))))))))))))))))))) -> 0(0(0(2(2(1(3(3(3(0(3(3(1(3(1(1(1(1(3(3(z0))))))))))))))))))))
   0(c_2(c_1(c_3(c_0(c_0(c_0(c_3(c_2(c_0(c_1(c_1(c_0(c_0(c_0(c_2(c_2(c_3(c_1(c_3(z0)))))))))))))))))))) -> 3(3(0(3(0(3(3(0(1(1(0(1(0(2(0(2(3(1(2(3(z0))))))))))))))))))))
   0(c_3(c_1(c_0(c_0(c_3(c_1(c_2(c_2(c_1(c_0(c_0(c_0(c_3(c_0(c_1(c_2(c_0(c_3(c_3(z0)))))))))))))))))))) -> 0(2(3(2(3(3(1(0(0(0(3(1(1(0(2(0(0(0(3(3(z0))))))))))))))))))))
   0(c_0(c_0(c_3(c_1(c_3(c_2(c_1(c_3(c_3(c_3(c_2(c_2(c_3(c_1(c_3(c_0(c_3(c_2(c_3(z0)))))))))))))))))))) -> 0(3(3(2(0(1(2(3(0(0(2(2(1(3(3(3(2(3(3(3(z0))))))))))))))))))))
   0(c_0(c_2(c_0(c_2(c_3(c_0(c_0(c_1(c_1(c_3(c_1(c_3(c_0(c_0(c_3(c_0(c_3(c_0(c_1(z0)))))))))))))))))))) -> 1(3(0(1(3(0(3(0(3(0(1(0(2(3(0(2(0(0(0(2(z0))))))))))))))))))))
   0(c_1(c_3(c_1(c_0(c_2(c_0(c_2(c_2(c_2(c_1(c_2(c_0(c_1(c_3(c_3(c_0(c_3(c_0(c_3(z0)))))))))))))))))))) -> 3(2(1(0(3(2(3(0(0(0(1(3(0(0(3(3(3(1(3(2(z0))))))))))))))))))))
   0(c_2(c_2(c_2(c_1(c_3(c_2(c_1(c_2(c_1(c_3(c_0(c_2(c_3(c_2(c_1(c_0(c_0(c_1(c_3(z0)))))))))))))))))))) -> 0(1(0(2(0(0(0(0(0(3(0(0(0(2(3(2(2(3(3(0(z0))))))))))))))))))))
   0(c_2(c_1(c_3(c_2(c_0(c_2(c_1(c_0(c_1(c_0(c_3(c_0(c_1(c_1(c_1(c_3(c_3(c_3(c_0(z0)))))))))))))))))))) -> 3(0(2(1(3(3(3(3(1(3(2(2(1(0(0(0(3(0(1(1(z0))))))))))))))))))))
   1(z0) -> c_1(z0)
   1(c_1(c_3(c_2(c_1(c_1(c_0(c_0(c_2(c_2(c_3(c_1(c_1(c_1(c_0(c_3(c_3(c_0(c_3(c_3(z0)))))))))))))))))))) -> 0(2(2(3(3(0(2(0(0(0(1(0(2(3(3(0(3(0(1(3(z0))))))))))))))))))))
   1(c_1(c_0(c_2(c_0(c_1(c_3(c_3(c_1(c_1(c_1(c_0(c_1(c_3(c_3(c_3(c_1(c_0(c_1(c_2(z0)))))))))))))))))))) -> 1(0(2(1(2(1(2(3(2(0(3(3(3(3(3(0(0(2(0(0(z0))))))))))))))))))))
   1(c_3(c_1(c_3(c_1(c_3(c_3(c_1(c_3(c_2(c_3(c_0(c_3(c_2(c_2(c_3(c_0(c_3(c_0(c_3(z0)))))))))))))))))))) -> 0(3(2(3(3(3(0(0(0(1(0(3(1(2(3(2(3(0(0(3(z0))))))))))))))))))))
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   2(z0) -> c_2(z0)
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   2(c_2(c_3(c_3(c_0(c_2(c_3(c_0(c_0(c_1(c_1(c_0(c_0(c_0(c_2(c_2(c_2(c_3(c_1(c_2(z0)))))))))))))))))))) -> 0(3(0(3(2(0(1(0(1(2(0(3(3(0(2(2(3(0(3(2(z0))))))))))))))))))))
   2(c_2(c_0(c_1(c_3(c_3(c_3(c_3(c_1(c_1(c_0(c_3(c_1(c_2(c_0(c_0(c_3(c_1(c_2(c_3(z0)))))))))))))))))))) -> 0(3(3(0(3(3(2(3(0(1(0(1(3(3(3(2(3(2(1(3(z0))))))))))))))))))))
   2(c_1(c_3(c_1(c_3(c_3(c_1(c_2(c_2(c_2(c_0(c_1(c_3(c_0(c_3(c_3(c_2(c_2(c_0(c_3(z0)))))))))))))))))))) -> 2(2(0(1(3(3(1(2(0(0(0(3(3(0(1(3(1(3(0(3(z0))))))))))))))))))))
   2(c_1(c_3(c_1(c_2(c_2(c_0(c_0(c_2(c_2(c_2(c_2(c_3(c_0(c_3(c_0(c_1(c_3(c_1(c_3(z0)))))))))))))))))))) -> 3(0(2(0(3(3(2(2(3(3(0(2(3(2(1(0(0(2(1(3(z0))))))))))))))))))))
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   2(c_1(c_0(c_1(c_1(c_3(c_1(c_3(c_0(c_1(c_3(c_2(c_0(c_3(c_1(c_0(c_0(c_0(c_1(c_3(z0)))))))))))))))))))) -> 0(0(1(2(1(3(3(3(0(2(0(2(1(3(3(0(3(2(1(3(z0))))))))))))))))))))
   2(c_2(c_1(c_0(c_1(c_0(c_2(c_3(c_1(c_2(c_1(c_2(c_2(c_1(c_3(c_3(c_0(c_3(c_1(c_3(z0)))))))))))))))))))) -> 2(2(0(0(3(3(3(1(1(0(0(3(3(2(1(1(0(2(2(3(z0))))))))))))))))))))
   2(c_0(c_0(c_3(c_3(c_1(c_2(c_3(c_2(c_2(c_3(c_3(c_2(c_1(c_1(c_2(c_0(c_1(c_3(c_3(z0)))))))))))))))))))) -> 2(2(3(3(0(1(0(3(0(0(0(1(1(3(1(0(2(2(0(3(z0))))))))))))))))))))
   2(c_2(c_3(c_2(c_2(c_2(c_3(c_3(c_0(c_0(c_0(c_1(c_0(c_3(c_0(c_3(c_0(c_1(c_0(c_1(z0)))))))))))))))))))) -> 2(2(2(3(2(1(3(0(3(3(3(0(2(3(3(1(2(0(3(3(z0))))))))))))))))))))
   2(c_3(c_2(c_3(c_1(c_0(c_0(c_1(c_0(c_2(c_0(c_0(c_1(c_3(c_3(c_1(c_0(c_0(c_0(c_0(z0)))))))))))))))))))) -> 1(2(0(3(3(3(0(2(2(0(1(0(0(1(2(2(1(3(3(0(z0))))))))))))))))))))
   2(c_3(c_2(c_3(c_0(c_3(c_0(c_3(c_3(c_3(c_0(c_1(c_1(c_1(c_0(c_3(c_1(c_2(c_1(c_1(z0)))))))))))))))))))) -> 0(3(1(3(1(3(1(3(0(1(0(0(3(3(3(2(0(2(3(2(z0))))))))))))))))))))
   2(c_0(c_2(c_0(c_0(c_3(c_1(c_0(c_0(c_2(c_3(c_3(c_1(c_0(c_3(c_2(c_1(c_0(c_0(c_3(z0)))))))))))))))))))) -> 1(3(0(1(2(0(2(2(3(1(3(3(3(3(3(3(0(3(0(3(z0))))))))))))))))))))
   2(c_2(c_3(c_1(c_1(c_1(c_1(c_3(c_1(c_3(c_1(c_1(c_0(c_0(c_0(c_0(c_3(c_1(c_2(c_3(z0)))))))))))))))))))) -> 3(2(0(0(0(1(3(1(3(3(1(3(0(0(2(3(0(1(1(1(z0))))))))))))))))))))
   2(c_1(c_0(c_1(c_3(c_3(c_1(c_0(c_2(c_3(c_0(c_0(c_0(c_2(c_3(c_1(c_0(c_0(c_3(c_3(z0)))))))))))))))))))) -> 2(0(1(3(2(1(3(1(3(1(1(3(3(1(3(3(0(0(3(3(z0))))))))))))))))))))
   2(c_1(c_1(c_3(c_3(c_1(c_0(c_2(c_2(c_2(c_2(c_2(c_3(c_0(c_1(c_0(c_2(c_2(c_3(c_3(z0)))))))))))))))))))) -> 0(3(0(3(1(3(0(3(3(1(3(3(0(3(1(3(3(0(3(1(z0))))))))))))))))))))
   2(c_2(c_3(c_3(c_2(c_2(c_2(c_2(c_3(c_0(c_2(c_3(c_0(c_2(c_0(c_1(c_1(c_3(c_3(c_1(z0)))))))))))))))))))) -> 2(2(2(0(0(1(0(0(1(3(3(3(3(3(2(1(0(0(0(3(z0))))))))))))))))))))
   2(c_1(c_3(c_3(c_1(c_1(c_3(c_2(c_1(c_3(c_3(c_1(c_1(c_0(c_2(c_2(c_3(c_0(c_0(c_0(z0)))))))))))))))))))) -> 2(0(0(0(1(0(0(3(1(1(1(3(0(0(3(0(1(3(3(2(z0))))))))))))))))))))
   2(c_1(c_1(c_0(c_3(c_0(c_1(c_2(c_3(c_3(c_1(c_1(c_1(c_3(c_0(c_0(c_3(c_1(c_3(c_0(z0)))))))))))))))))))) -> 2(2(0(3(2(0(0(1(2(1(1(3(1(3(3(0(3(3(3(0(z0))))))))))))))))))))
   2(c_0(c_1(c_0(c_1(c_3(c_2(c_3(c_0(c_0(c_2(c_1(c_0(c_2(c_0(c_3(c_1(c_0(c_2(c_3(z0)))))))))))))))))))) -> 3(3(3(0(3(3(2(3(1(3(1(3(3(0(3(3(0(2(1(0(z0))))))))))))))))))))
   2(c_0(c_3(c_1(c_3(c_3(c_3(c_1(c_2(c_3(c_0(c_1(c_2(c_2(c_3(c_2(c_1(c_0(c_3(c_1(z0)))))))))))))))))))) -> 1(0(3(3(1(3(0(1(2(3(0(1(0(3(3(0(3(2(1(1(z0))))))))))))))))))))
   2(c_3(c_0(c_3(c_3(c_2(c_3(c_0(c_1(c_3(c_2(c_2(c_3(c_3(c_0(c_2(c_2(c_0(c_1(c_2(z0)))))))))))))))))))) -> 2(0(1(3(0(2(2(3(2(0(3(3(2(0(3(1(0(3(0(2(z0))))))))))))))))))))
   2(c_3(c_2(c_2(c_0(c_3(c_3(c_1(c_1(c_1(c_3(c_0(c_0(c_1(c_0(c_0(c_2(c_3(c_0(c_3(z0)))))))))))))))))))) -> 2(3(1(1(0(3(2(2(1(3(0(3(3(2(0(0(1(1(3(3(z0))))))))))))))))))))
   2(c_0(c_1(c_0(c_2(c_2(c_0(c_3(c_0(c_2(c_2(c_3(c_3(c_2(c_1(c_3(c_0(c_2(c_3(c_1(z0)))))))))))))))))))) -> 2(3(3(0(3(0(0(2(3(3(1(1(3(3(0(1(2(3(2(0(z0))))))))))))))))))))
   2(c_0(c_0(c_2(c_1(c_2(c_1(c_1(c_3(c_0(c_2(c_3(c_2(c_1(c_3(c_3(c_1(c_3(c_2(c_3(z0)))))))))))))))))))) -> 2(2(3(1(1(0(1(0(1(1(0(1(0(3(3(1(3(3(3(1(z0))))))))))))))))))))
   2(c_1(c_1(c_1(c_0(c_1(c_3(c_1(c_0(c_3(c_2(c_3(c_0(c_0(c_0(c_3(c_1(c_1(c_0(c_3(z0)))))))))))))))))))) -> 1(1(1(0(1(1(2(0(2(1(0(0(3(3(0(2(0(3(0(3(z0))))))))))))))))))))
   2(c_1(c_3(c_1(c_3(c_3(c_1(c_1(c_1(c_1(c_1(c_1(c_0(c_2(c_3(c_2(c_3(c_0(c_0(c_3(z0)))))))))))))))))))) -> 1(3(0(0(2(0(0(2(0(3(2(2(0(1(3(3(3(0(0(3(z0))))))))))))))))))))
   2(c_1(c_0(c_3(c_0(c_2(c_0(c_2(c_1(c_3(c_3(c_3(c_1(c_1(c_1(c_0(c_0(c_3(c_3(c_2(z0)))))))))))))))))))) -> 2(2(1(3(0(0(1(3(0(3(3(0(3(3(1(0(1(1(0(1(z0))))))))))))))))))))
   2(c_3(c_1(c_2(c_0(c_3(c_2(c_0(c_2(c_3(c_3(c_0(c_2(c_0(c_0(c_1(c_0(c_1(c_0(c_3(z0)))))))))))))))))))) -> 0(3(1(3(0(3(3(0(1(0(0(3(2(0(0(0(3(3(2(3(z0))))))))))))))))))))
   2(c_2(c_3(c_2(c_0(c_0(c_3(c_0(c_3(c_3(c_2(c_2(c_2(c_0(c_2(c_3(c_3(c_3(c_3(c_2(z0)))))))))))))))))))) -> 1(0(3(1(2(3(3(2(3(3(3(3(0(1(3(1(0(3(0(3(z0))))))))))))))))))))
   2(c_2(c_3(c_3(c_0(c_2(c_2(c_0(c_1(c_3(c_1(c_3(c_3(c_0(c_3(c_2(c_2(c_2(c_1(c_2(z0)))))))))))))))))))) -> 2(0(0(0(3(0(3(1(3(2(0(0(1(1(3(0(0(3(2(3(z0))))))))))))))))))))
   3(z0) -> c_3(z0)
   3(c_3(c_0(c_2(c_2(c_3(c_3(c_1(c_2(c_2(c_0(c_0(c_3(c_2(c_0(c_2(c_1(c_0(c_3(c_3(z0)))))))))))))))))))) -> 1(0(2(1(1(3(2(1(1(3(0(3(3(1(1(3(1(3(3(3(z0))))))))))))))))))))
   3(c_3(c_1(c_0(c_3(c_1(c_0(c_3(c_1(c_1(c_3(c_3(c_1(c_3(c_0(c_2(c_2(c_3(c_1(c_1(z0)))))))))))))))))))) -> 0(0(3(0(2(1(3(3(0(0(3(2(0(0(3(0(2(2(0(0(z0))))))))))))))))))))
   3(c_3(c_2(c_1(c_3(c_1(c_3(c_0(c_2(c_0(c_3(c_1(c_2(c_1(c_3(c_2(c_1(c_3(c_2(c_3(z0)))))))))))))))))))) -> 2(3(3(2(2(2(0(3(1(2(3(3(3(3(0(1(3(2(0(3(z0))))))))))))))))))))
   3(c_0(c_1(c_0(c_1(c_2(c_3(c_2(c_1(c_1(c_0(c_1(c_1(c_3(c_0(c_3(c_3(c_2(c_1(c_3(z0)))))))))))))))))))) -> 0(3(0(0(2(3(0(2(2(1(0(1(2(0(1(3(1(3(1(3(z0))))))))))))))))))))
   3(c_3(c_0(c_3(c_3(c_0(c_1(c_2(c_1(c_1(c_0(c_3(c_3(c_0(c_2(c_0(c_0(c_2(c_2(c_1(z0)))))))))))))))))))) -> 3(3(3(3(1(3(3(1(1(3(1(2(3(3(3(2(2(0(2(1(z0))))))))))))))))))))
   3(c_0(c_3(c_3(c_3(c_3(c_1(c_3(c_2(c_0(c_1(c_0(c_1(c_0(c_3(c_3(c_0(c_0(c_1(c_1(z0)))))))))))))))))))) -> 3(3(2(3(3(3(2(3(3(0(1(1(0(3(3(3(0(3(3(0(z0))))))))))))))))))))
   3(c_1(c_0(c_1(c_1(c_1(c_3(c_1(c_0(c_0(c_0(c_2(c_1(c_0(c_1(c_2(c_0(c_0(c_0(c_3(z0)))))))))))))))))))) -> 0(3(0(2(2(0(1(0(1(0(0(2(2(3(2(3(0(1(0(3(z0))))))))))))))))))))
   3(c_3(c_0(c_2(c_3(c_3(c_0(c_1(c_3(c_0(c_0(c_1(c_2(c_2(c_2(c_2(c_3(c_3(c_2(c_1(z0)))))))))))))))))))) -> 3(1(3(3(1(0(3(0(3(0(2(3(3(1(0(1(0(3(1(0(z0))))))))))))))))))))
   3(c_1(c_2(c_3(c_2(c_2(c_2(c_3(c_3(c_0(c_1(c_3(c_0(c_1(c_1(c_1(c_0(c_0(c_0(c_3(z0)))))))))))))))))))) -> 1(2(1(3(1(3(3(3(3(2(1(1(2(3(0(0(3(3(0(0(z0))))))))))))))))))))
   3(c_1(c_1(c_3(c_2(c_3(c_3(c_3(c_1(c_0(c_1(c_2(c_0(c_3(c_0(c_0(c_0(c_1(c_2(c_3(z0)))))))))))))))))))) -> 3(3(3(0(3(3(1(0(2(3(0(0(2(2(3(3(0(3(2(0(z0))))))))))))))))))))
   3(c_0(c_2(c_1(c_2(c_1(c_3(c_1(c_3(c_0(c_3(c_1(c_3(c_0(c_2(c_0(c_2(c_0(c_3(c_2(z0)))))))))))))))))))) -> 2(2(3(1(3(1(3(3(1(3(3(0(0(2(1(2(3(3(3(2(z0))))))))))))))))))))
   3(c_0(c_2(c_2(c_1(c_1(c_0(c_1(c_1(c_1(c_3(c_0(c_3(c_1(c_3(c_2(c_1(c_3(c_3(c_0(z0)))))))))))))))))))) -> 0(0(0(0(1(3(3(1(1(3(1(3(0(1(0(3(3(1(1(3(z0))))))))))))))))))))
   3(c_1(c_3(c_0(c_2(c_1(c_1(c_2(c_0(c_3(c_2(c_2(c_1(c_3(c_1(c_1(c_2(c_2(c_3(c_3(z0)))))))))))))))))))) -> 1(0(0(1(3(0(1(1(2(0(3(3(3(3(0(0(3(0(3(2(z0))))))))))))))))))))
   3(c_0(c_2(c_0(c_2(c_0(c_1(c_1(c_3(c_0(c_0(c_3(c_0(c_0(c_2(c_0(c_0(c_3(c_2(c_3(z0)))))))))))))))))))) -> 0(3(2(2(0(3(3(3(1(1(0(0(3(0(2(2(1(1(3(3(z0))))))))))))))))))))
   3(c_0(c_0(c_1(c_1(c_1(c_3(c_3(c_3(c_0(c_2(c_2(c_1(c_3(c_1(c_2(c_3(c_1(c_1(c_0(z0)))))))))))))))))))) -> 1(3(0(2(1(3(3(2(0(2(3(1(3(0(3(0(0(2(1(0(z0))))))))))))))))))))
   3(c_0(c_3(c_2(c_1(c_3(c_0(c_3(c_3(c_0(c_3(c_3(c_0(c_3(c_0(c_3(c_1(c_0(c_0(c_1(z0)))))))))))))))))))) -> 3(3(3(3(2(3(0(1(0(0(0(3(3(1(3(3(3(1(1(2(z0))))))))))))))))))))
   3(c_3(c_1(c_0(c_1(c_3(c_0(c_0(c_3(c_1(c_2(c_1(c_0(c_0(c_3(c_0(c_1(c_0(c_3(c_1(z0)))))))))))))))))))) -> 1(3(3(3(3(2(3(2(2(0(3(1(0(0(1(3(0(3(3(1(z0))))))))))))))))))))
   3(c_3(c_3(c_3(c_1(c_1(c_3(c_2(c_3(c_0(c_3(c_3(c_0(c_3(c_2(c_1(c_0(c_0(c_2(c_2(z0)))))))))))))))))))) -> 3(3(0(3(0(0(3(3(3(1(3(1(1(0(3(0(2(0(1(2(z0))))))))))))))))))))
   3(c_2(c_3(c_0(c_1(c_3(c_2(c_2(c_0(c_1(c_1(c_3(c_3(c_3(c_1(c_2(c_3(c_1(c_1(c_0(z0)))))))))))))))))))) -> 0(0(0(0(3(2(3(1(1(1(0(1(0(0(3(3(0(2(3(1(z0))))))))))))))))))))
   3(c_0(c_3(c_2(c_2(c_2(c_3(c_1(c_3(c_0(c_2(c_1(c_0(c_1(c_0(c_2(c_2(c_3(c_3(c_1(z0)))))))))))))))))))) -> 2(3(0(0(3(1(2(0(3(3(0(0(0(3(3(3(1(0(2(2(z0))))))))))))))))))))
   3(c_2(c_0(c_3(c_3(c_1(c_3(c_2(c_3(c_0(c_3(c_2(c_3(c_1(c_3(c_0(c_2(c_1(c_3(c_0(z0)))))))))))))))))))) -> 3(3(3(0(2(3(3(0(2(0(3(3(3(3(1(0(0(1(3(0(z0))))))))))))))))))))
Tuples:
   ENCARG(cons_0(z0)) -> c(0'(encArg(z0)), ENCARG(z0))
   ENCARG(cons_1(z0)) -> c1(1'(encArg(z0)), ENCARG(z0))
   ENCARG(cons_2(z0)) -> c2(2'(encArg(z0)), ENCARG(z0))
   ENCARG(cons_3(z0)) -> c3(3'(encArg(z0)), ENCARG(z0))
   0'(c_1(c_1(c_1(c_0(c_0(c_0(c_0(c_0(c_0(c_3(c_0(c_1(c_0(c_1(c_0(c_2(c_0(c_3(c_1(z0)))))))))))))))))))) -> c9(1'(0(2(1(3(0(1(0(2(3(0(0(3(3(0(1(0(0(1(0(z0)))))))))))))))))))), 0'(2(1(3(0(1(0(2(3(0(0(3(3(0(1(0(0(1(0(z0))))))))))))))))))), 2'(1(3(0(1(0(2(3(0(0(3(3(0(1(0(0(1(0(z0)))))))))))))))))), 1'(3(0(1(0(2(3(0(0(3(3(0(1(0(0(1(0(z0))))))))))))))))), 3'(0(1(0(2(3(0(0(3(3(0(1(0(0(1(0(z0)))))))))))))))), 0'(1(0(2(3(0(0(3(3(0(1(0(0(1(0(z0))))))))))))))), 1'(0(2(3(0(0(3(3(0(1(0(0(1(0(z0)))))))))))))), 0'(2(3(0(0(3(3(0(1(0(0(1(0(z0))))))))))))), 2'(3(0(0(3(3(0(1(0(0(1(0(z0)))))))))))), 3'(0(0(3(3(0(1(0(0(1(0(z0))))))))))), 0'(0(3(3(0(1(0(0(1(0(z0)))))))))), 0'(3(3(0(1(0(0(1(0(z0))))))))), 3'(3(0(1(0(0(1(0(z0)))))))), 3'(0(1(0(0(1(0(z0))))))), 0'(1(0(0(1(0(z0)))))), 1'(0(0(1(0(z0))))), 0'(0(1(0(z0)))), 0'(1(0(z0))), 1'(0(z0)), 0'(z0))
   0'(c_0(c_1(c_2(c_3(c_0(c_1(c_0(c_3(c_0(c_3(c_1(c_1(c_1(c_0(c_1(c_3(c_3(c_2(c_3(z0)))))))))))))))))))) -> c10(3'(0(3(1(1(0(2(3(0(3(3(1(3(1(0(3(0(1(2(3(z0)))))))))))))))))))), 0'(3(1(1(0(2(3(0(3(3(1(3(1(0(3(0(1(2(3(z0))))))))))))))))))), 3'(1(1(0(2(3(0(3(3(1(3(1(0(3(0(1(2(3(z0)))))))))))))))))), 1'(1(0(2(3(0(3(3(1(3(1(0(3(0(1(2(3(z0))))))))))))))))), 1'(0(2(3(0(3(3(1(3(1(0(3(0(1(2(3(z0)))))))))))))))), 0'(2(3(0(3(3(1(3(1(0(3(0(1(2(3(z0))))))))))))))), 2'(3(0(3(3(1(3(1(0(3(0(1(2(3(z0)))))))))))))), 3'(0(3(3(1(3(1(0(3(0(1(2(3(z0))))))))))))), 0'(3(3(1(3(1(0(3(0(1(2(3(z0)))))))))))), 3'(3(1(3(1(0(3(0(1(2(3(z0))))))))))), 3'(1(3(1(0(3(0(1(2(3(z0)))))))))), 1'(3(1(0(3(0(1(2(3(z0))))))))), 3'(1(0(3(0(1(2(3(z0)))))))), 1'(0(3(0(1(2(3(z0))))))), 0'(3(0(1(2(3(z0)))))), 3'(0(1(2(3(z0))))), 0'(1(2(3(z0)))), 1'(2(3(z0))), 2'(3(z0)), 3'(z0))
   0'(c_2(c_0(c_3(c_1(c_1(c_3(c_2(c_3(c_3(c_0(c_2(c_2(c_0(c_2(c_3(c_0(c_0(c_2(c_3(z0)))))))))))))))))))) -> c11(0'(0(3(3(2(3(3(3(0(1(1(1(2(2(3(1(3(1(1(3(z0)))))))))))))))))))), 0'(3(3(2(3(3(3(0(1(1(1(2(2(3(1(3(1(1(3(z0))))))))))))))))))), 3'(3(2(3(3(3(0(1(1(1(2(2(3(1(3(1(1(3(z0)))))))))))))))))), 3'(2(3(3(3(0(1(1(1(2(2(3(1(3(1(1(3(z0))))))))))))))))), 2'(3(3(3(0(1(1(1(2(2(3(1(3(1(1(3(z0)))))))))))))))), 3'(3(3(0(1(1(1(2(2(3(1(3(1(1(3(z0))))))))))))))), 3'(3(0(1(1(1(2(2(3(1(3(1(1(3(z0)))))))))))))), 3'(0(1(1(1(2(2(3(1(3(1(1(3(z0))))))))))))), 0'(1(1(1(2(2(3(1(3(1(1(3(z0)))))))))))), 1'(1(1(2(2(3(1(3(1(1(3(z0))))))))))), 1'(1(2(2(3(1(3(1(1(3(z0)))))))))), 1'(2(2(3(1(3(1(1(3(z0))))))))), 2'(2(3(1(3(1(1(3(z0)))))))), 2'(3(1(3(1(1(3(z0))))))), 3'(1(3(1(1(3(z0)))))), 1'(3(1(1(3(z0))))), 3'(1(1(3(z0)))), 1'(1(3(z0))), 1'(3(z0)), 3'(z0))
   0'(c_0(c_1(c_1(c_0(c_1(c_0(c_2(c_3(c_1(c_3(c_3(c_3(c_1(c_2(c_2(c_0(c_0(c_2(c_3(z0)))))))))))))))))))) -> c12(0'(0(3(0(2(1(3(3(1(3(2(3(3(3(2(0(0(1(0(2(z0)))))))))))))))))))), 0'(3(0(2(1(3(3(1(3(2(3(3(3(2(0(0(1(0(2(z0))))))))))))))))))), 3'(0(2(1(3(3(1(3(2(3(3(3(2(0(0(1(0(2(z0)))))))))))))))))), 0'(2(1(3(3(1(3(2(3(3(3(2(0(0(1(0(2(z0))))))))))))))))), 2'(1(3(3(1(3(2(3(3(3(2(0(0(1(0(2(z0)))))))))))))))), 1'(3(3(1(3(2(3(3(3(2(0(0(1(0(2(z0))))))))))))))), 3'(3(1(3(2(3(3(3(2(0(0(1(0(2(z0)))))))))))))), 3'(1(3(2(3(3(3(2(0(0(1(0(2(z0))))))))))))), 1'(3(2(3(3(3(2(0(0(1(0(2(z0)))))))))))), 3'(2(3(3(3(2(0(0(1(0(2(z0))))))))))), 2'(3(3(3(2(0(0(1(0(2(z0)))))))))), 3'(3(3(2(0(0(1(0(2(z0))))))))), 3'(3(2(0(0(1(0(2(z0)))))))), 3'(2(0(0(1(0(2(z0))))))), 2'(0(0(1(0(2(z0)))))), 0'(0(1(0(2(z0))))), 0'(1(0(2(z0)))), 1'(0(2(z0))), 0'(2(z0)), 2'(z0))
   0'(c_1(c_0(c_1(c_1(c_3(c_3(c_0(c_0(c_1(c_3(c_1(c_3(c_0(c_2(c_3(c_0(c_3(c_2(c_3(z0)))))))))))))))))))) -> c13(1'(2(3(3(0(1(3(3(0(1(0(3(3(3(0(2(0(2(1(3(z0)))))))))))))))))))), 2'(3(3(0(1(3(3(0(1(0(3(3(3(0(2(0(2(1(3(z0))))))))))))))))))), 3'(3(0(1(3(3(0(1(0(3(3(3(0(2(0(2(1(3(z0)))))))))))))))))), 3'(0(1(3(3(0(1(0(3(3(3(0(2(0(2(1(3(z0))))))))))))))))), 0'(1(3(3(0(1(0(3(3(3(0(2(0(2(1(3(z0)))))))))))))))), 1'(3(3(0(1(0(3(3(3(0(2(0(2(1(3(z0))))))))))))))), 3'(3(0(1(0(3(3(3(0(2(0(2(1(3(z0)))))))))))))), 3'(0(1(0(3(3(3(0(2(0(2(1(3(z0))))))))))))), 0'(1(0(3(3(3(0(2(0(2(1(3(z0)))))))))))), 1'(0(3(3(3(0(2(0(2(1(3(z0))))))))))), 0'(3(3(3(0(2(0(2(1(3(z0)))))))))), 3'(3(3(0(2(0(2(1(3(z0))))))))), 3'(3(0(2(0(2(1(3(z0)))))))), 3'(0(2(0(2(1(3(z0))))))), 0'(2(0(2(1(3(z0)))))), 2'(0(2(1(3(z0))))), 0'(2(1(3(z0)))), 2'(1(3(z0))), 1'(3(z0)), 3'(z0))
   0'(c_3(c_0(c_2(c_0(c_1(c_3(c_0(c_1(c_2(c_3(c_2(c_1(c_1(c_0(c_0(c_3(c_3(c_2(c_3(z0)))))))))))))))))))) -> c14(0'(3(3(2(2(3(2(3(2(0(0(2(3(3(3(3(3(0(1(0(z0)))))))))))))))))))), 3'(3(2(2(3(2(3(2(0(0(2(3(3(3(3(3(0(1(0(z0))))))))))))))))))), 3'(2(2(3(2(3(2(0(0(2(3(3(3(3(3(0(1(0(z0)))))))))))))))))), 2'(2(3(2(3(2(0(0(2(3(3(3(3(3(0(1(0(z0))))))))))))))))), 2'(3(2(3(2(0(0(2(3(3(3(3(3(0(1(0(z0)))))))))))))))), 3'(2(3(2(0(0(2(3(3(3(3(3(0(1(0(z0))))))))))))))), 2'(3(2(0(0(2(3(3(3(3(3(0(1(0(z0)))))))))))))), 3'(2(0(0(2(3(3(3(3(3(0(1(0(z0))))))))))))), 2'(0(0(2(3(3(3(3(3(0(1(0(z0)))))))))))), 0'(0(2(3(3(3(3(3(0(1(0(z0))))))))))), 0'(2(3(3(3(3(3(0(1(0(z0)))))))))), 2'(3(3(3(3(3(0(1(0(z0))))))))), 3'(3(3(3(3(0(1(0(z0)))))))), 3'(3(3(3(0(1(0(z0))))))), 3'(3(3(0(1(0(z0)))))), 3'(3(0(1(0(z0))))), 3'(0(1(0(z0)))), 0'(1(0(z0))), 1'(0(z0)), 0'(z0))
   0'(c_3(c_2(c_2(c_2(c_3(c_2(c_2(c_3(c_1(c_3(c_0(c_3(c_2(c_3(c_0(c_3(c_3(c_1(c_3(z0)))))))))))))))))))) -> c15(3'(0(3(3(3(3(3(2(3(3(3(1(0(0(3(2(0(2(2(1(z0)))))))))))))))))))), 0'(3(3(3(3(3(2(3(3(3(1(0(0(3(2(0(2(2(1(z0))))))))))))))))))), 3'(3(3(3(3(2(3(3(3(1(0(0(3(2(0(2(2(1(z0)))))))))))))))))), 3'(3(3(3(2(3(3(3(1(0(0(3(2(0(2(2(1(z0))))))))))))))))), 3'(3(3(2(3(3(3(1(0(0(3(2(0(2(2(1(z0)))))))))))))))), 3'(3(2(3(3(3(1(0(0(3(2(0(2(2(1(z0))))))))))))))), 3'(2(3(3(3(1(0(0(3(2(0(2(2(1(z0)))))))))))))), 2'(3(3(3(1(0(0(3(2(0(2(2(1(z0))))))))))))), 3'(3(3(1(0(0(3(2(0(2(2(1(z0)))))))))))), 3'(3(1(0(0(3(2(0(2(2(1(z0))))))))))), 3'(1(0(0(3(2(0(2(2(1(z0)))))))))), 1'(0(0(3(2(0(2(2(1(z0))))))))), 0'(0(3(2(0(2(2(1(z0)))))))), 0'(3(2(0(2(2(1(z0))))))), 3'(2(0(2(2(1(z0)))))), 2'(0(2(2(1(z0))))), 0'(2(2(1(z0)))), 2'(2(1(z0))), 2'(1(z0)), 1'(z0))
   0'(c_0(c_3(c_1(c_0(c_2(c_0(c_3(c_1(c_0(c_0(c_3(c_0(c_0(c_0(c_3(c_2(c_0(c_2(c_3(z0)))))))))))))))))))) -> c16(0'(0(1(0(2(1(3(0(1(0(0(3(1(0(3(3(2(2(3(3(z0)))))))))))))))))))), 0'(1(0(2(1(3(0(1(0(0(3(1(0(3(3(2(2(3(3(z0))))))))))))))))))), 1'(0(2(1(3(0(1(0(0(3(1(0(3(3(2(2(3(3(z0)))))))))))))))))), 0'(2(1(3(0(1(0(0(3(1(0(3(3(2(2(3(3(z0))))))))))))))))), 2'(1(3(0(1(0(0(3(1(0(3(3(2(2(3(3(z0)))))))))))))))), 1'(3(0(1(0(0(3(1(0(3(3(2(2(3(3(z0))))))))))))))), 3'(0(1(0(0(3(1(0(3(3(2(2(3(3(z0)))))))))))))), 0'(1(0(0(3(1(0(3(3(2(2(3(3(z0))))))))))))), 1'(0(0(3(1(0(3(3(2(2(3(3(z0)))))))))))), 0'(0(3(1(0(3(3(2(2(3(3(z0))))))))))), 0'(3(1(0(3(3(2(2(3(3(z0)))))))))), 3'(1(0(3(3(2(2(3(3(z0))))))))), 1'(0(3(3(2(2(3(3(z0)))))))), 0'(3(3(2(2(3(3(z0))))))), 3'(3(2(2(3(3(z0)))))), 3'(2(2(3(3(z0))))), 2'(2(3(3(z0)))), 2'(3(3(z0))), 3'(3(z0)), 3'(z0))
   0'(c_0(c_0(c_1(c_1(c_0(c_3(c_3(c_3(c_3(c_0(c_1(c_0(c_2(c_2(c_1(c_3(c_2(c_0(c_0(z0)))))))))))))))))))) -> c17(0'(0(1(3(3(0(1(3(3(0(1(2(3(2(2(0(3(2(3(3(z0)))))))))))))))))))), 0'(1(3(3(0(1(3(3(0(1(2(3(2(2(0(3(2(3(3(z0))))))))))))))))))), 1'(3(3(0(1(3(3(0(1(2(3(2(2(0(3(2(3(3(z0)))))))))))))))))), 3'(3(0(1(3(3(0(1(2(3(2(2(0(3(2(3(3(z0))))))))))))))))), 3'(0(1(3(3(0(1(2(3(2(2(0(3(2(3(3(z0)))))))))))))))), 0'(1(3(3(0(1(2(3(2(2(0(3(2(3(3(z0))))))))))))))), 1'(3(3(0(1(2(3(2(2(0(3(2(3(3(z0)))))))))))))), 3'(3(0(1(2(3(2(2(0(3(2(3(3(z0))))))))))))), 3'(0(1(2(3(2(2(0(3(2(3(3(z0)))))))))))), 0'(1(2(3(2(2(0(3(2(3(3(z0))))))))))), 1'(2(3(2(2(0(3(2(3(3(z0)))))))))), 2'(3(2(2(0(3(2(3(3(z0))))))))), 3'(2(2(0(3(2(3(3(z0)))))))), 2'(2(0(3(2(3(3(z0))))))), 2'(0(3(2(3(3(z0)))))), 0'(3(2(3(3(z0))))), 3'(2(3(3(z0)))), 2'(3(3(z0))), 3'(3(z0)), 3'(z0))
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   3'(c_2(c_3(c_0(c_1(c_3(c_2(c_2(c_0(c_1(c_1(c_3(c_3(c_3(c_1(c_2(c_3(c_1(c_1(c_0(z0)))))))))))))))))))) -> c108(0'(0(0(0(3(2(3(1(1(1(0(1(0(0(3(3(0(2(3(1(z0)))))))))))))))))))), 0'(0(0(3(2(3(1(1(1(0(1(0(0(3(3(0(2(3(1(z0))))))))))))))))))), 0'(0(3(2(3(1(1(1(0(1(0(0(3(3(0(2(3(1(z0)))))))))))))))))), 0'(3(2(3(1(1(1(0(1(0(0(3(3(0(2(3(1(z0))))))))))))))))), 3'(2(3(1(1(1(0(1(0(0(3(3(0(2(3(1(z0)))))))))))))))), 2'(3(1(1(1(0(1(0(0(3(3(0(2(3(1(z0))))))))))))))), 3'(1(1(1(0(1(0(0(3(3(0(2(3(1(z0)))))))))))))), 1'(1(1(0(1(0(0(3(3(0(2(3(1(z0))))))))))))), 1'(1(0(1(0(0(3(3(0(2(3(1(z0)))))))))))), 1'(0(1(0(0(3(3(0(2(3(1(z0))))))))))), 0'(1(0(0(3(3(0(2(3(1(z0)))))))))), 1'(0(0(3(3(0(2(3(1(z0))))))))), 0'(0(3(3(0(2(3(1(z0)))))))), 0'(3(3(0(2(3(1(z0))))))), 3'(3(0(2(3(1(z0)))))), 3'(0(2(3(1(z0))))), 0'(2(3(1(z0)))), 2'(3(1(z0))), 3'(1(z0)), 1'(z0))
   3'(c_0(c_3(c_2(c_2(c_2(c_3(c_1(c_3(c_0(c_2(c_1(c_0(c_1(c_0(c_2(c_2(c_3(c_3(c_1(z0)))))))))))))))))))) -> c109(2'(3(0(0(3(1(2(0(3(3(0(0(0(3(3(3(1(0(2(2(z0)))))))))))))))))))), 3'(0(0(3(1(2(0(3(3(0(0(0(3(3(3(1(0(2(2(z0))))))))))))))))))), 0'(0(3(1(2(0(3(3(0(0(0(3(3(3(1(0(2(2(z0)))))))))))))))))), 0'(3(1(2(0(3(3(0(0(0(3(3(3(1(0(2(2(z0))))))))))))))))), 3'(1(2(0(3(3(0(0(0(3(3(3(1(0(2(2(z0)))))))))))))))), 1'(2(0(3(3(0(0(0(3(3(3(1(0(2(2(z0))))))))))))))), 2'(0(3(3(0(0(0(3(3(3(1(0(2(2(z0)))))))))))))), 0'(3(3(0(0(0(3(3(3(1(0(2(2(z0))))))))))))), 3'(3(0(0(0(3(3(3(1(0(2(2(z0)))))))))))), 3'(0(0(0(3(3(3(1(0(2(2(z0))))))))))), 0'(0(0(3(3(3(1(0(2(2(z0)))))))))), 0'(0(3(3(3(1(0(2(2(z0))))))))), 0'(3(3(3(1(0(2(2(z0)))))))), 3'(3(3(1(0(2(2(z0))))))), 3'(3(1(0(2(2(z0)))))), 3'(1(0(2(2(z0))))), 1'(0(2(2(z0)))), 0'(2(2(z0))), 2'(2(z0)), 2'(z0))
   3'(c_2(c_0(c_3(c_3(c_1(c_3(c_2(c_3(c_0(c_3(c_2(c_3(c_1(c_3(c_0(c_2(c_1(c_3(c_0(z0)))))))))))))))))))) -> c110(3'(3(3(0(2(3(3(0(2(0(3(3(3(3(1(0(0(1(3(0(z0)))))))))))))))))))), 3'(3(0(2(3(3(0(2(0(3(3(3(3(1(0(0(1(3(0(z0))))))))))))))))))), 3'(0(2(3(3(0(2(0(3(3(3(3(1(0(0(1(3(0(z0)))))))))))))))))), 0'(2(3(3(0(2(0(3(3(3(3(1(0(0(1(3(0(z0))))))))))))))))), 2'(3(3(0(2(0(3(3(3(3(1(0(0(1(3(0(z0)))))))))))))))), 3'(3(0(2(0(3(3(3(3(1(0(0(1(3(0(z0))))))))))))))), 3'(0(2(0(3(3(3(3(1(0(0(1(3(0(z0)))))))))))))), 0'(2(0(3(3(3(3(1(0(0(1(3(0(z0))))))))))))), 2'(0(3(3(3(3(1(0(0(1(3(0(z0)))))))))))), 0'(3(3(3(3(1(0(0(1(3(0(z0))))))))))), 3'(3(3(3(1(0(0(1(3(0(z0)))))))))), 3'(3(3(1(0(0(1(3(0(z0))))))))), 3'(3(1(0(0(1(3(0(z0)))))))), 3'(1(0(0(1(3(0(z0))))))), 1'(0(0(1(3(0(z0)))))), 0'(0(1(3(0(z0))))), 0'(1(3(0(z0)))), 1'(3(0(z0))), 3'(0(z0)), 0'(z0))
   ENCODE_0(z0) -> c8(0'(encArg(z0)))
   ENCODE_1(z0) -> c8(1'(encArg(z0)))
   ENCODE_2(z0) -> c8(2'(encArg(z0)))
   ENCODE_3(z0) -> c8(3'(encArg(z0)))
S tuples:
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   0'(c_0(c_1(c_2(c_3(c_0(c_1(c_0(c_3(c_0(c_3(c_1(c_1(c_1(c_0(c_1(c_3(c_3(c_2(c_3(z0)))))))))))))))))))) -> c10(3'(0(3(1(1(0(2(3(0(3(3(1(3(1(0(3(0(1(2(3(z0)))))))))))))))))))), 0'(3(1(1(0(2(3(0(3(3(1(3(1(0(3(0(1(2(3(z0))))))))))))))))))), 3'(1(1(0(2(3(0(3(3(1(3(1(0(3(0(1(2(3(z0)))))))))))))))))), 1'(1(0(2(3(0(3(3(1(3(1(0(3(0(1(2(3(z0))))))))))))))))), 1'(0(2(3(0(3(3(1(3(1(0(3(0(1(2(3(z0)))))))))))))))), 0'(2(3(0(3(3(1(3(1(0(3(0(1(2(3(z0))))))))))))))), 2'(3(0(3(3(1(3(1(0(3(0(1(2(3(z0)))))))))))))), 3'(0(3(3(1(3(1(0(3(0(1(2(3(z0))))))))))))), 0'(3(3(1(3(1(0(3(0(1(2(3(z0)))))))))))), 3'(3(1(3(1(0(3(0(1(2(3(z0))))))))))), 3'(1(3(1(0(3(0(1(2(3(z0)))))))))), 1'(3(1(0(3(0(1(2(3(z0))))))))), 3'(1(0(3(0(1(2(3(z0)))))))), 1'(0(3(0(1(2(3(z0))))))), 0'(3(0(1(2(3(z0)))))), 3'(0(1(2(3(z0))))), 0'(1(2(3(z0)))), 1'(2(3(z0))), 2'(3(z0)), 3'(z0))
   0'(c_2(c_0(c_3(c_1(c_1(c_3(c_2(c_3(c_3(c_0(c_2(c_2(c_0(c_2(c_3(c_0(c_0(c_2(c_3(z0)))))))))))))))))))) -> c11(0'(0(3(3(2(3(3(3(0(1(1(1(2(2(3(1(3(1(1(3(z0)))))))))))))))))))), 0'(3(3(2(3(3(3(0(1(1(1(2(2(3(1(3(1(1(3(z0))))))))))))))))))), 3'(3(2(3(3(3(0(1(1(1(2(2(3(1(3(1(1(3(z0)))))))))))))))))), 3'(2(3(3(3(0(1(1(1(2(2(3(1(3(1(1(3(z0))))))))))))))))), 2'(3(3(3(0(1(1(1(2(2(3(1(3(1(1(3(z0)))))))))))))))), 3'(3(3(0(1(1(1(2(2(3(1(3(1(1(3(z0))))))))))))))), 3'(3(0(1(1(1(2(2(3(1(3(1(1(3(z0)))))))))))))), 3'(0(1(1(1(2(2(3(1(3(1(1(3(z0))))))))))))), 0'(1(1(1(2(2(3(1(3(1(1(3(z0)))))))))))), 1'(1(1(2(2(3(1(3(1(1(3(z0))))))))))), 1'(1(2(2(3(1(3(1(1(3(z0)))))))))), 1'(2(2(3(1(3(1(1(3(z0))))))))), 2'(2(3(1(3(1(1(3(z0)))))))), 2'(3(1(3(1(1(3(z0))))))), 3'(1(3(1(1(3(z0)))))), 1'(3(1(1(3(z0))))), 3'(1(1(3(z0)))), 1'(1(3(z0))), 1'(3(z0)), 3'(z0))
   0'(c_0(c_1(c_1(c_0(c_1(c_0(c_2(c_3(c_1(c_3(c_3(c_3(c_1(c_2(c_2(c_0(c_0(c_2(c_3(z0)))))))))))))))))))) -> c12(0'(0(3(0(2(1(3(3(1(3(2(3(3(3(2(0(0(1(0(2(z0)))))))))))))))))))), 0'(3(0(2(1(3(3(1(3(2(3(3(3(2(0(0(1(0(2(z0))))))))))))))))))), 3'(0(2(1(3(3(1(3(2(3(3(3(2(0(0(1(0(2(z0)))))))))))))))))), 0'(2(1(3(3(1(3(2(3(3(3(2(0(0(1(0(2(z0))))))))))))))))), 2'(1(3(3(1(3(2(3(3(3(2(0(0(1(0(2(z0)))))))))))))))), 1'(3(3(1(3(2(3(3(3(2(0(0(1(0(2(z0))))))))))))))), 3'(3(1(3(2(3(3(3(2(0(0(1(0(2(z0)))))))))))))), 3'(1(3(2(3(3(3(2(0(0(1(0(2(z0))))))))))))), 1'(3(2(3(3(3(2(0(0(1(0(2(z0)))))))))))), 3'(2(3(3(3(2(0(0(1(0(2(z0))))))))))), 2'(3(3(3(2(0(0(1(0(2(z0)))))))))), 3'(3(3(2(0(0(1(0(2(z0))))))))), 3'(3(2(0(0(1(0(2(z0)))))))), 3'(2(0(0(1(0(2(z0))))))), 2'(0(0(1(0(2(z0)))))), 0'(0(1(0(2(z0))))), 0'(1(0(2(z0)))), 1'(0(2(z0))), 0'(2(z0)), 2'(z0))
   0'(c_1(c_0(c_1(c_1(c_3(c_3(c_0(c_0(c_1(c_3(c_1(c_3(c_0(c_2(c_3(c_0(c_3(c_2(c_3(z0)))))))))))))))))))) -> c13(1'(2(3(3(0(1(3(3(0(1(0(3(3(3(0(2(0(2(1(3(z0)))))))))))))))))))), 2'(3(3(0(1(3(3(0(1(0(3(3(3(0(2(0(2(1(3(z0))))))))))))))))))), 3'(3(0(1(3(3(0(1(0(3(3(3(0(2(0(2(1(3(z0)))))))))))))))))), 3'(0(1(3(3(0(1(0(3(3(3(0(2(0(2(1(3(z0))))))))))))))))), 0'(1(3(3(0(1(0(3(3(3(0(2(0(2(1(3(z0)))))))))))))))), 1'(3(3(0(1(0(3(3(3(0(2(0(2(1(3(z0))))))))))))))), 3'(3(0(1(0(3(3(3(0(2(0(2(1(3(z0)))))))))))))), 3'(0(1(0(3(3(3(0(2(0(2(1(3(z0))))))))))))), 0'(1(0(3(3(3(0(2(0(2(1(3(z0)))))))))))), 1'(0(3(3(3(0(2(0(2(1(3(z0))))))))))), 0'(3(3(3(0(2(0(2(1(3(z0)))))))))), 3'(3(3(0(2(0(2(1(3(z0))))))))), 3'(3(0(2(0(2(1(3(z0)))))))), 3'(0(2(0(2(1(3(z0))))))), 0'(2(0(2(1(3(z0)))))), 2'(0(2(1(3(z0))))), 0'(2(1(3(z0)))), 2'(1(3(z0))), 1'(3(z0)), 3'(z0))
   0'(c_3(c_0(c_2(c_0(c_1(c_3(c_0(c_1(c_2(c_3(c_2(c_1(c_1(c_0(c_0(c_3(c_3(c_2(c_3(z0)))))))))))))))))))) -> c14(0'(3(3(2(2(3(2(3(2(0(0(2(3(3(3(3(3(0(1(0(z0)))))))))))))))))))), 3'(3(2(2(3(2(3(2(0(0(2(3(3(3(3(3(0(1(0(z0))))))))))))))))))), 3'(2(2(3(2(3(2(0(0(2(3(3(3(3(3(0(1(0(z0)))))))))))))))))), 2'(2(3(2(3(2(0(0(2(3(3(3(3(3(0(1(0(z0))))))))))))))))), 2'(3(2(3(2(0(0(2(3(3(3(3(3(0(1(0(z0)))))))))))))))), 3'(2(3(2(0(0(2(3(3(3(3(3(0(1(0(z0))))))))))))))), 2'(3(2(0(0(2(3(3(3(3(3(0(1(0(z0)))))))))))))), 3'(2(0(0(2(3(3(3(3(3(0(1(0(z0))))))))))))), 2'(0(0(2(3(3(3(3(3(0(1(0(z0)))))))))))), 0'(0(2(3(3(3(3(3(0(1(0(z0))))))))))), 0'(2(3(3(3(3(3(0(1(0(z0)))))))))), 2'(3(3(3(3(3(0(1(0(z0))))))))), 3'(3(3(3(3(0(1(0(z0)))))))), 3'(3(3(3(0(1(0(z0))))))), 3'(3(3(0(1(0(z0)))))), 3'(3(0(1(0(z0))))), 3'(0(1(0(z0)))), 0'(1(0(z0))), 1'(0(z0)), 0'(z0))
   0'(c_3(c_2(c_2(c_2(c_3(c_2(c_2(c_3(c_1(c_3(c_0(c_3(c_2(c_3(c_0(c_3(c_3(c_1(c_3(z0)))))))))))))))))))) -> c15(3'(0(3(3(3(3(3(2(3(3(3(1(0(0(3(2(0(2(2(1(z0)))))))))))))))))))), 0'(3(3(3(3(3(2(3(3(3(1(0(0(3(2(0(2(2(1(z0))))))))))))))))))), 3'(3(3(3(3(2(3(3(3(1(0(0(3(2(0(2(2(1(z0)))))))))))))))))), 3'(3(3(3(2(3(3(3(1(0(0(3(2(0(2(2(1(z0))))))))))))))))), 3'(3(3(2(3(3(3(1(0(0(3(2(0(2(2(1(z0)))))))))))))))), 3'(3(2(3(3(3(1(0(0(3(2(0(2(2(1(z0))))))))))))))), 3'(2(3(3(3(1(0(0(3(2(0(2(2(1(z0)))))))))))))), 2'(3(3(3(1(0(0(3(2(0(2(2(1(z0))))))))))))), 3'(3(3(1(0(0(3(2(0(2(2(1(z0)))))))))))), 3'(3(1(0(0(3(2(0(2(2(1(z0))))))))))), 3'(1(0(0(3(2(0(2(2(1(z0)))))))))), 1'(0(0(3(2(0(2(2(1(z0))))))))), 0'(0(3(2(0(2(2(1(z0)))))))), 0'(3(2(0(2(2(1(z0))))))), 3'(2(0(2(2(1(z0)))))), 2'(0(2(2(1(z0))))), 0'(2(2(1(z0)))), 2'(2(1(z0))), 2'(1(z0)), 1'(z0))
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   3'(c_3(c_3(c_3(c_1(c_1(c_3(c_2(c_3(c_0(c_3(c_3(c_0(c_3(c_2(c_1(c_0(c_0(c_2(c_2(z0)))))))))))))))))))) -> c107(3'(3(0(3(0(0(3(3(3(1(3(1(1(0(3(0(2(0(1(2(z0)))))))))))))))))))), 3'(0(3(0(0(3(3(3(1(3(1(1(0(3(0(2(0(1(2(z0))))))))))))))))))), 0'(3(0(0(3(3(3(1(3(1(1(0(3(0(2(0(1(2(z0)))))))))))))))))), 3'(0(0(3(3(3(1(3(1(1(0(3(0(2(0(1(2(z0))))))))))))))))), 0'(0(3(3(3(1(3(1(1(0(3(0(2(0(1(2(z0)))))))))))))))), 0'(3(3(3(1(3(1(1(0(3(0(2(0(1(2(z0))))))))))))))), 3'(3(3(1(3(1(1(0(3(0(2(0(1(2(z0)))))))))))))), 3'(3(1(3(1(1(0(3(0(2(0(1(2(z0))))))))))))), 3'(1(3(1(1(0(3(0(2(0(1(2(z0)))))))))))), 1'(3(1(1(0(3(0(2(0(1(2(z0))))))))))), 3'(1(1(0(3(0(2(0(1(2(z0)))))))))), 1'(1(0(3(0(2(0(1(2(z0))))))))), 1'(0(3(0(2(0(1(2(z0)))))))), 0'(3(0(2(0(1(2(z0))))))), 3'(0(2(0(1(2(z0)))))), 0'(2(0(1(2(z0))))), 2'(0(1(2(z0)))), 0'(1(2(z0))), 1'(2(z0)), 2'(z0))
   3'(c_2(c_3(c_0(c_1(c_3(c_2(c_2(c_0(c_1(c_1(c_3(c_3(c_3(c_1(c_2(c_3(c_1(c_1(c_0(z0)))))))))))))))))))) -> c108(0'(0(0(0(3(2(3(1(1(1(0(1(0(0(3(3(0(2(3(1(z0)))))))))))))))))))), 0'(0(0(3(2(3(1(1(1(0(1(0(0(3(3(0(2(3(1(z0))))))))))))))))))), 0'(0(3(2(3(1(1(1(0(1(0(0(3(3(0(2(3(1(z0)))))))))))))))))), 0'(3(2(3(1(1(1(0(1(0(0(3(3(0(2(3(1(z0))))))))))))))))), 3'(2(3(1(1(1(0(1(0(0(3(3(0(2(3(1(z0)))))))))))))))), 2'(3(1(1(1(0(1(0(0(3(3(0(2(3(1(z0))))))))))))))), 3'(1(1(1(0(1(0(0(3(3(0(2(3(1(z0)))))))))))))), 1'(1(1(0(1(0(0(3(3(0(2(3(1(z0))))))))))))), 1'(1(0(1(0(0(3(3(0(2(3(1(z0)))))))))))), 1'(0(1(0(0(3(3(0(2(3(1(z0))))))))))), 0'(1(0(0(3(3(0(2(3(1(z0)))))))))), 1'(0(0(3(3(0(2(3(1(z0))))))))), 0'(0(3(3(0(2(3(1(z0)))))))), 0'(3(3(0(2(3(1(z0))))))), 3'(3(0(2(3(1(z0)))))), 3'(0(2(3(1(z0))))), 0'(2(3(1(z0)))), 2'(3(1(z0))), 3'(1(z0)), 1'(z0))
   3'(c_0(c_3(c_2(c_2(c_2(c_3(c_1(c_3(c_0(c_2(c_1(c_0(c_1(c_0(c_2(c_2(c_3(c_3(c_1(z0)))))))))))))))))))) -> c109(2'(3(0(0(3(1(2(0(3(3(0(0(0(3(3(3(1(0(2(2(z0)))))))))))))))))))), 3'(0(0(3(1(2(0(3(3(0(0(0(3(3(3(1(0(2(2(z0))))))))))))))))))), 0'(0(3(1(2(0(3(3(0(0(0(3(3(3(1(0(2(2(z0)))))))))))))))))), 0'(3(1(2(0(3(3(0(0(0(3(3(3(1(0(2(2(z0))))))))))))))))), 3'(1(2(0(3(3(0(0(0(3(3(3(1(0(2(2(z0)))))))))))))))), 1'(2(0(3(3(0(0(0(3(3(3(1(0(2(2(z0))))))))))))))), 2'(0(3(3(0(0(0(3(3(3(1(0(2(2(z0)))))))))))))), 0'(3(3(0(0(0(3(3(3(1(0(2(2(z0))))))))))))), 3'(3(0(0(0(3(3(3(1(0(2(2(z0)))))))))))), 3'(0(0(0(3(3(3(1(0(2(2(z0))))))))))), 0'(0(0(3(3(3(1(0(2(2(z0)))))))))), 0'(0(3(3(3(1(0(2(2(z0))))))))), 0'(3(3(3(1(0(2(2(z0)))))))), 3'(3(3(1(0(2(2(z0))))))), 3'(3(1(0(2(2(z0)))))), 3'(1(0(2(2(z0))))), 1'(0(2(2(z0)))), 0'(2(2(z0))), 2'(2(z0)), 2'(z0))
   3'(c_2(c_0(c_3(c_3(c_1(c_3(c_2(c_3(c_0(c_3(c_2(c_3(c_1(c_3(c_0(c_2(c_1(c_3(c_0(z0)))))))))))))))))))) -> c110(3'(3(3(0(2(3(3(0(2(0(3(3(3(3(1(0(0(1(3(0(z0)))))))))))))))))))), 3'(3(0(2(3(3(0(2(0(3(3(3(3(1(0(0(1(3(0(z0))))))))))))))))))), 3'(0(2(3(3(0(2(0(3(3(3(3(1(0(0(1(3(0(z0)))))))))))))))))), 0'(2(3(3(0(2(0(3(3(3(3(1(0(0(1(3(0(z0))))))))))))))))), 2'(3(3(0(2(0(3(3(3(3(1(0(0(1(3(0(z0)))))))))))))))), 3'(3(0(2(0(3(3(3(3(1(0(0(1(3(0(z0))))))))))))))), 3'(0(2(0(3(3(3(3(1(0(0(1(3(0(z0)))))))))))))), 0'(2(0(3(3(3(3(1(0(0(1(3(0(z0))))))))))))), 2'(0(3(3(3(3(1(0(0(1(3(0(z0)))))))))))), 0'(3(3(3(3(1(0(0(1(3(0(z0))))))))))), 3'(3(3(3(1(0(0(1(3(0(z0)))))))))), 3'(3(3(1(0(0(1(3(0(z0))))))))), 3'(3(1(0(0(1(3(0(z0)))))))), 3'(1(0(0(1(3(0(z0))))))), 1'(0(0(1(3(0(z0)))))), 0'(0(1(3(0(z0))))), 0'(1(3(0(z0)))), 1'(3(0(z0))), 3'(0(z0)), 0'(z0))
K tuples:none
Defined Rule Symbols:   0_1, 2_1, 3_1, 1_1, encArg_1, encode_0_1, encode_1_1, encode_2_1, encode_3_1

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

Compound Symbols:   c_2, c1_2, c2_2, c3_2, c9_20, c10_20, 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_20, c33_20, c34_20, c35_20, c37_20, c38_20, c39_20, c40_20, c41_20, c42_20, c43_20, c44_20, c45_20, c46_20, c47_20, c48_20, c49_20, c50_20, c51_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_20, c73_20, c74_20, c75_20, c76_20, c77_20, c78_20, c79_20, c80_20, c81_20, c82_20, c83_20, c84_20, c85_20, c86_20, c87_20, c88_20, c90_20, c91_20, c92_20, c93_20, c94_20, c95_20, c96_20, c97_20, c98_20, c99_20, c100_20, c101_20, c102_20, c103_20, c104_20, c105_20, c106_20, c107_20, c108_20, c109_20, c110_20, c8_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))

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

(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))
   0(z0) -> c_0(z0)
   0(c_1(c_1(c_1(c_0(c_0(c_0(c_0(c_0(c_0(c_3(c_0(c_1(c_0(c_1(c_0(c_2(c_0(c_3(c_1(z0)))))))))))))))))))) -> 1(0(2(1(3(0(1(0(2(3(0(0(3(3(0(1(0(0(1(0(z0))))))))))))))))))))
   0(c_0(c_1(c_2(c_3(c_0(c_1(c_0(c_3(c_0(c_3(c_1(c_1(c_1(c_0(c_1(c_3(c_3(c_2(c_3(z0)))))))))))))))))))) -> 3(0(3(1(1(0(2(3(0(3(3(1(3(1(0(3(0(1(2(3(z0))))))))))))))))))))
   0(c_2(c_0(c_3(c_1(c_1(c_3(c_2(c_3(c_3(c_0(c_2(c_2(c_0(c_2(c_3(c_0(c_0(c_2(c_3(z0)))))))))))))))))))) -> 0(0(3(3(2(3(3(3(0(1(1(1(2(2(3(1(3(1(1(3(z0))))))))))))))))))))
   0(c_0(c_1(c_1(c_0(c_1(c_0(c_2(c_3(c_1(c_3(c_3(c_3(c_1(c_2(c_2(c_0(c_0(c_2(c_3(z0)))))))))))))))))))) -> 0(0(3(0(2(1(3(3(1(3(2(3(3(3(2(0(0(1(0(2(z0))))))))))))))))))))
   0(c_1(c_0(c_1(c_1(c_3(c_3(c_0(c_0(c_1(c_3(c_1(c_3(c_0(c_2(c_3(c_0(c_3(c_2(c_3(z0)))))))))))))))))))) -> 1(2(3(3(0(1(3(3(0(1(0(3(3(3(0(2(0(2(1(3(z0))))))))))))))))))))
   0(c_3(c_0(c_2(c_0(c_1(c_3(c_0(c_1(c_2(c_3(c_2(c_1(c_1(c_0(c_0(c_3(c_3(c_2(c_3(z0)))))))))))))))))))) -> 0(3(3(2(2(3(2(3(2(0(0(2(3(3(3(3(3(0(1(0(z0))))))))))))))))))))
   0(c_3(c_2(c_2(c_2(c_3(c_2(c_2(c_3(c_1(c_3(c_0(c_3(c_2(c_3(c_0(c_3(c_3(c_1(c_3(z0)))))))))))))))))))) -> 3(0(3(3(3(3(3(2(3(3(3(1(0(0(3(2(0(2(2(1(z0))))))))))))))))))))
   0(c_0(c_3(c_1(c_0(c_2(c_0(c_3(c_1(c_0(c_0(c_3(c_0(c_0(c_0(c_3(c_2(c_0(c_2(c_3(z0)))))))))))))))))))) -> 0(0(1(0(2(1(3(0(1(0(0(3(1(0(3(3(2(2(3(3(z0))))))))))))))))))))
   0(c_0(c_0(c_1(c_1(c_0(c_3(c_3(c_3(c_3(c_0(c_1(c_0(c_2(c_2(c_1(c_3(c_2(c_0(c_0(z0)))))))))))))))))))) -> 0(0(1(3(3(0(1(3(3(0(1(2(3(2(2(0(3(2(3(3(z0))))))))))))))))))))
   0(c_1(c_3(c_1(c_2(c_1(c_3(c_1(c_3(c_3(c_1(c_2(c_2(c_1(c_0(c_3(c_2(c_1(c_1(c_1(z0)))))))))))))))))))) -> 0(0(2(0(0(3(3(1(1(1(1(3(0(1(1(0(0(2(1(2(z0))))))))))))))))))))
   0(c_0(c_3(c_2(c_0(c_3(c_3(c_2(c_0(c_2(c_1(c_3(c_3(c_3(c_2(c_2(c_3(c_1(c_2(c_3(z0)))))))))))))))))))) -> 3(1(3(0(1(0(0(0(1(1(3(0(2(2(1(2(3(1(0(3(z0))))))))))))))))))))
   0(c_2(c_2(c_1(c_1(c_2(c_0(c_1(c_1(c_0(c_0(c_1(c_1(c_2(c_0(c_1(c_0(c_3(c_3(c_3(z0)))))))))))))))))))) -> 3(1(0(1(3(1(0(3(0(3(1(3(2(1(0(1(1(3(1(3(z0))))))))))))))))))))
   0(c_2(c_2(c_2(c_1(c_2(c_2(c_1(c_1(c_1(c_1(c_2(c_3(c_2(c_0(c_3(c_3(c_3(c_3(c_0(z0)))))))))))))))))))) -> 3(1(2(3(3(3(1(0(3(3(2(0(2(2(3(1(1(1(3(1(z0))))))))))))))))))))
   0(c_0(c_3(c_2(c_1(c_2(c_0(c_2(c_3(c_2(c_1(c_0(c_1(c_0(c_3(c_3(c_0(c_0(c_3(c_1(z0)))))))))))))))))))) -> 3(2(3(3(0(3(1(1(0(1(1(1(1(1(3(0(3(3(0(1(z0))))))))))))))))))))
   0(c_1(c_3(c_3(c_0(c_0(c_2(c_2(c_3(c_2(c_0(c_0(c_0(c_1(c_2(c_0(c_3(c_2(c_1(c_3(z0)))))))))))))))))))) -> 0(0(3(0(0(0(2(1(0(0(1(2(0(0(3(3(3(3(1(0(z0))))))))))))))))))))
   0(c_0(c_3(c_0(c_1(c_3(c_1(c_2(c_1(c_1(c_3(c_0(c_0(c_1(c_3(c_0(c_1(c_2(c_1(c_3(z0)))))))))))))))))))) -> 2(3(1(2(3(2(3(3(0(2(3(3(0(0(0(2(1(2(3(3(z0))))))))))))))))))))
   0(c_2(c_2(c_3(c_3(c_0(c_0(c_3(c_3(c_1(c_3(c_0(c_3(c_2(c_2(c_1(c_1(c_2(c_3(c_3(z0)))))))))))))))))))) -> 1(3(3(3(0(1(0(0(3(0(1(3(3(3(3(0(2(3(2(3(z0))))))))))))))))))))
   0(c_0(c_1(c_2(c_2(c_1(c_3(c_3(c_2(c_2(c_1(c_2(c_0(c_2(c_3(c_0(c_0(c_1(c_3(c_3(z0)))))))))))))))))))) -> 3(0(1(2(1(2(0(2(2(1(3(2(2(3(3(3(3(3(3(3(z0))))))))))))))))))))
   0(c_1(c_3(c_1(c_0(c_1(c_3(c_3(c_1(c_3(c_1(c_2(c_2(c_0(c_0(c_1(c_3(c_3(c_0(c_0(z0)))))))))))))))))))) -> 1(1(1(3(1(3(0(2(3(2(3(0(2(3(3(2(3(3(0(3(z0))))))))))))))))))))
   0(c_0(c_0(c_0(c_1(c_0(c_2(c_3(c_1(c_3(c_0(c_2(c_0(c_1(c_0(c_2(c_1(c_2(c_3(c_3(z0)))))))))))))))))))) -> 0(0(0(2(2(1(3(3(3(0(3(3(1(3(1(1(1(1(3(3(z0))))))))))))))))))))
   0(c_2(c_1(c_3(c_0(c_0(c_0(c_3(c_2(c_0(c_1(c_1(c_0(c_0(c_0(c_2(c_2(c_3(c_1(c_3(z0)))))))))))))))))))) -> 3(3(0(3(0(3(3(0(1(1(0(1(0(2(0(2(3(1(2(3(z0))))))))))))))))))))
   0(c_3(c_1(c_0(c_0(c_3(c_1(c_2(c_2(c_1(c_0(c_0(c_0(c_3(c_0(c_1(c_2(c_0(c_3(c_3(z0)))))))))))))))))))) -> 0(2(3(2(3(3(1(0(0(0(3(1(1(0(2(0(0(0(3(3(z0))))))))))))))))))))
   0(c_0(c_0(c_3(c_1(c_3(c_2(c_1(c_3(c_3(c_3(c_2(c_2(c_3(c_1(c_3(c_0(c_3(c_2(c_3(z0)))))))))))))))))))) -> 0(3(3(2(0(1(2(3(0(0(2(2(1(3(3(3(2(3(3(3(z0))))))))))))))))))))
   0(c_0(c_2(c_0(c_2(c_3(c_0(c_0(c_1(c_1(c_3(c_1(c_3(c_0(c_0(c_3(c_0(c_3(c_0(c_1(z0)))))))))))))))))))) -> 1(3(0(1(3(0(3(0(3(0(1(0(2(3(0(2(0(0(0(2(z0))))))))))))))))))))
   0(c_1(c_3(c_1(c_0(c_2(c_0(c_2(c_2(c_2(c_1(c_2(c_0(c_1(c_3(c_3(c_0(c_3(c_0(c_3(z0)))))))))))))))))))) -> 3(2(1(0(3(2(3(0(0(0(1(3(0(0(3(3(3(1(3(2(z0))))))))))))))))))))
   0(c_2(c_2(c_2(c_1(c_3(c_2(c_1(c_2(c_1(c_3(c_0(c_2(c_3(c_2(c_1(c_0(c_0(c_1(c_3(z0)))))))))))))))))))) -> 0(1(0(2(0(0(0(0(0(3(0(0(0(2(3(2(2(3(3(0(z0))))))))))))))))))))
   0(c_2(c_1(c_3(c_2(c_0(c_2(c_1(c_0(c_1(c_0(c_3(c_0(c_1(c_1(c_1(c_3(c_3(c_3(c_0(z0)))))))))))))))))))) -> 3(0(2(1(3(3(3(3(1(3(2(2(1(0(0(0(3(0(1(1(z0))))))))))))))))))))
   1(z0) -> c_1(z0)
   1(c_1(c_3(c_2(c_1(c_1(c_0(c_0(c_2(c_2(c_3(c_1(c_1(c_1(c_0(c_3(c_3(c_0(c_3(c_3(z0)))))))))))))))))))) -> 0(2(2(3(3(0(2(0(0(0(1(0(2(3(3(0(3(0(1(3(z0))))))))))))))))))))
   1(c_1(c_0(c_2(c_0(c_1(c_3(c_3(c_1(c_1(c_1(c_0(c_1(c_3(c_3(c_3(c_1(c_0(c_1(c_2(z0)))))))))))))))))))) -> 1(0(2(1(2(1(2(3(2(0(3(3(3(3(3(0(0(2(0(0(z0))))))))))))))))))))
   1(c_3(c_1(c_3(c_1(c_3(c_3(c_1(c_3(c_2(c_3(c_0(c_3(c_2(c_2(c_3(c_0(c_3(c_0(c_3(z0)))))))))))))))))))) -> 0(3(2(3(3(3(0(0(0(1(0(3(1(2(3(2(3(0(0(3(z0))))))))))))))))))))
   1(c_0(c_3(c_0(c_0(c_1(c_1(c_1(c_3(c_3(c_0(c_1(c_0(c_0(c_3(c_1(c_1(c_3(c_2(c_3(z0)))))))))))))))))))) -> 3(2(3(3(3(3(3(0(1(3(0(3(1(2(0(3(3(3(1(2(z0))))))))))))))))))))
   1(c_1(c_3(c_3(c_0(c_1(c_3(c_0(c_2(c_1(c_2(c_0(c_2(c_1(c_1(c_1(c_0(c_2(c_2(c_3(z0)))))))))))))))))))) -> 1(3(3(3(2(1(3(3(0(2(0(3(1(2(0(3(0(3(2(0(z0))))))))))))))))))))
   1(c_1(c_0(c_1(c_1(c_3(c_2(c_0(c_3(c_0(c_2(c_3(c_0(c_0(c_0(c_0(c_2(c_0(c_2(c_3(z0)))))))))))))))))))) -> 1(2(3(0(3(0(2(1(0(2(0(3(1(3(0(3(3(2(2(3(z0))))))))))))))))))))
   1(c_1(c_1(c_3(c_2(c_3(c_3(c_3(c_1(c_1(c_0(c_1(c_0(c_0(c_0(c_0(c_0(c_0(c_2(c_3(z0)))))))))))))))))))) -> 1(3(0(0(0(3(1(0(1(1(3(1(0(0(3(1(2(0(3(3(z0))))))))))))))))))))
   1(c_1(c_1(c_3(c_0(c_1(c_0(c_1(c_2(c_2(c_1(c_0(c_2(c_2(c_2(c_3(c_1(c_0(c_3(c_3(z0)))))))))))))))))))) -> 2(2(0(0(3(3(1(2(1(3(3(0(2(3(2(2(1(2(3(3(z0))))))))))))))))))))
   1(c_0(c_0(c_0(c_3(c_3(c_3(c_1(c_1(c_3(c_2(c_0(c_3(c_1(c_2(c_0(c_1(c_1(c_2(c_3(z0)))))))))))))))))))) -> 3(1(3(1(3(3(3(2(2(0(0(3(0(1(3(0(0(2(0(0(z0))))))))))))))))))))
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   2(z0) -> c_2(z0)
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   2(c_2(c_3(c_3(c_0(c_2(c_3(c_0(c_0(c_1(c_1(c_0(c_0(c_0(c_2(c_2(c_2(c_3(c_1(c_2(z0)))))))))))))))))))) -> 0(3(0(3(2(0(1(0(1(2(0(3(3(0(2(2(3(0(3(2(z0))))))))))))))))))))
   2(c_2(c_0(c_1(c_3(c_3(c_3(c_3(c_1(c_1(c_0(c_3(c_1(c_2(c_0(c_0(c_3(c_1(c_2(c_3(z0)))))))))))))))))))) -> 0(3(3(0(3(3(2(3(0(1(0(1(3(3(3(2(3(2(1(3(z0))))))))))))))))))))
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   2(c_0(c_0(c_3(c_3(c_1(c_2(c_3(c_2(c_2(c_3(c_3(c_2(c_1(c_1(c_2(c_0(c_1(c_3(c_3(z0)))))))))))))))))))) -> 2(2(3(3(0(1(0(3(0(0(0(1(1(3(1(0(2(2(0(3(z0))))))))))))))))))))
   2(c_2(c_3(c_2(c_2(c_2(c_3(c_3(c_0(c_0(c_0(c_1(c_0(c_3(c_0(c_3(c_0(c_1(c_0(c_1(z0)))))))))))))))))))) -> 2(2(2(3(2(1(3(0(3(3(3(0(2(3(3(1(2(0(3(3(z0))))))))))))))))))))
   2(c_3(c_2(c_3(c_1(c_0(c_0(c_1(c_0(c_2(c_0(c_0(c_1(c_3(c_3(c_1(c_0(c_0(c_0(c_0(z0)))))))))))))))))))) -> 1(2(0(3(3(3(0(2(2(0(1(0(0(1(2(2(1(3(3(0(z0))))))))))))))))))))
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   2(c_2(c_3(c_1(c_1(c_1(c_1(c_3(c_1(c_3(c_1(c_1(c_0(c_0(c_0(c_0(c_3(c_1(c_2(c_3(z0)))))))))))))))))))) -> 3(2(0(0(0(1(3(1(3(3(1(3(0(0(2(3(0(1(1(1(z0))))))))))))))))))))
   2(c_1(c_0(c_1(c_3(c_3(c_1(c_0(c_2(c_3(c_0(c_0(c_0(c_2(c_3(c_1(c_0(c_0(c_3(c_3(z0)))))))))))))))))))) -> 2(0(1(3(2(1(3(1(3(1(1(3(3(1(3(3(0(0(3(3(z0))))))))))))))))))))
   2(c_1(c_1(c_3(c_3(c_1(c_0(c_2(c_2(c_2(c_2(c_2(c_3(c_0(c_1(c_0(c_2(c_2(c_3(c_3(z0)))))))))))))))))))) -> 0(3(0(3(1(3(0(3(3(1(3(3(0(3(1(3(3(0(3(1(z0))))))))))))))))))))
   2(c_2(c_3(c_3(c_2(c_2(c_2(c_2(c_3(c_0(c_2(c_3(c_0(c_2(c_0(c_1(c_1(c_3(c_3(c_1(z0)))))))))))))))))))) -> 2(2(2(0(0(1(0(0(1(3(3(3(3(3(2(1(0(0(0(3(z0))))))))))))))))))))
   2(c_1(c_3(c_3(c_1(c_1(c_3(c_2(c_1(c_3(c_3(c_1(c_1(c_0(c_2(c_2(c_3(c_0(c_0(c_0(z0)))))))))))))))))))) -> 2(0(0(0(1(0(0(3(1(1(1(3(0(0(3(0(1(3(3(2(z0))))))))))))))))))))
   2(c_1(c_1(c_0(c_3(c_0(c_1(c_2(c_3(c_3(c_1(c_1(c_1(c_3(c_0(c_0(c_3(c_1(c_3(c_0(z0)))))))))))))))))))) -> 2(2(0(3(2(0(0(1(2(1(1(3(1(3(3(0(3(3(3(0(z0))))))))))))))))))))
   2(c_0(c_1(c_0(c_1(c_3(c_2(c_3(c_0(c_0(c_2(c_1(c_0(c_2(c_0(c_3(c_1(c_0(c_2(c_3(z0)))))))))))))))))))) -> 3(3(3(0(3(3(2(3(1(3(1(3(3(0(3(3(0(2(1(0(z0))))))))))))))))))))
   2(c_0(c_3(c_1(c_3(c_3(c_3(c_1(c_2(c_3(c_0(c_1(c_2(c_2(c_3(c_2(c_1(c_0(c_3(c_1(z0)))))))))))))))))))) -> 1(0(3(3(1(3(0(1(2(3(0(1(0(3(3(0(3(2(1(1(z0))))))))))))))))))))
   2(c_3(c_0(c_3(c_3(c_2(c_3(c_0(c_1(c_3(c_2(c_2(c_3(c_3(c_0(c_2(c_2(c_0(c_1(c_2(z0)))))))))))))))))))) -> 2(0(1(3(0(2(2(3(2(0(3(3(2(0(3(1(0(3(0(2(z0))))))))))))))))))))
   2(c_3(c_2(c_2(c_0(c_3(c_3(c_1(c_1(c_1(c_3(c_0(c_0(c_1(c_0(c_0(c_2(c_3(c_0(c_3(z0)))))))))))))))))))) -> 2(3(1(1(0(3(2(2(1(3(0(3(3(2(0(0(1(1(3(3(z0))))))))))))))))))))
   2(c_0(c_1(c_0(c_2(c_2(c_0(c_3(c_0(c_2(c_2(c_3(c_3(c_2(c_1(c_3(c_0(c_2(c_3(c_1(z0)))))))))))))))))))) -> 2(3(3(0(3(0(0(2(3(3(1(1(3(3(0(1(2(3(2(0(z0))))))))))))))))))))
   2(c_0(c_0(c_2(c_1(c_2(c_1(c_1(c_3(c_0(c_2(c_3(c_2(c_1(c_3(c_3(c_1(c_3(c_2(c_3(z0)))))))))))))))))))) -> 2(2(3(1(1(0(1(0(1(1(0(1(0(3(3(1(3(3(3(1(z0))))))))))))))))))))
   2(c_1(c_1(c_1(c_0(c_1(c_3(c_1(c_0(c_3(c_2(c_3(c_0(c_0(c_0(c_3(c_1(c_1(c_0(c_3(z0)))))))))))))))))))) -> 1(1(1(0(1(1(2(0(2(1(0(0(3(3(0(2(0(3(0(3(z0))))))))))))))))))))
   2(c_1(c_3(c_1(c_3(c_3(c_1(c_1(c_1(c_1(c_1(c_1(c_0(c_2(c_3(c_2(c_3(c_0(c_0(c_3(z0)))))))))))))))))))) -> 1(3(0(0(2(0(0(2(0(3(2(2(0(1(3(3(3(0(0(3(z0))))))))))))))))))))
   2(c_1(c_0(c_3(c_0(c_2(c_0(c_2(c_1(c_3(c_3(c_3(c_1(c_1(c_1(c_0(c_0(c_3(c_3(c_2(z0)))))))))))))))))))) -> 2(2(1(3(0(0(1(3(0(3(3(0(3(3(1(0(1(1(0(1(z0))))))))))))))))))))
   2(c_3(c_1(c_2(c_0(c_3(c_2(c_0(c_2(c_3(c_3(c_0(c_2(c_0(c_0(c_1(c_0(c_1(c_0(c_3(z0)))))))))))))))))))) -> 0(3(1(3(0(3(3(0(1(0(0(3(2(0(0(0(3(3(2(3(z0))))))))))))))))))))
   2(c_2(c_3(c_2(c_0(c_0(c_3(c_0(c_3(c_3(c_2(c_2(c_2(c_0(c_2(c_3(c_3(c_3(c_3(c_2(z0)))))))))))))))))))) -> 1(0(3(1(2(3(3(2(3(3(3(3(0(1(3(1(0(3(0(3(z0))))))))))))))))))))
   2(c_2(c_3(c_3(c_0(c_2(c_2(c_0(c_1(c_3(c_1(c_3(c_3(c_0(c_3(c_2(c_2(c_2(c_1(c_2(z0)))))))))))))))))))) -> 2(0(0(0(3(0(3(1(3(2(0(0(1(1(3(0(0(3(2(3(z0))))))))))))))))))))
   3(z0) -> c_3(z0)
   3(c_3(c_0(c_2(c_2(c_3(c_3(c_1(c_2(c_2(c_0(c_0(c_3(c_2(c_0(c_2(c_1(c_0(c_3(c_3(z0)))))))))))))))))))) -> 1(0(2(1(1(3(2(1(1(3(0(3(3(1(1(3(1(3(3(3(z0))))))))))))))))))))
   3(c_3(c_1(c_0(c_3(c_1(c_0(c_3(c_1(c_1(c_3(c_3(c_1(c_3(c_0(c_2(c_2(c_3(c_1(c_1(z0)))))))))))))))))))) -> 0(0(3(0(2(1(3(3(0(0(3(2(0(0(3(0(2(2(0(0(z0))))))))))))))))))))
   3(c_3(c_2(c_1(c_3(c_1(c_3(c_0(c_2(c_0(c_3(c_1(c_2(c_1(c_3(c_2(c_1(c_3(c_2(c_3(z0)))))))))))))))))))) -> 2(3(3(2(2(2(0(3(1(2(3(3(3(3(0(1(3(2(0(3(z0))))))))))))))))))))
   3(c_0(c_1(c_0(c_1(c_2(c_3(c_2(c_1(c_1(c_0(c_1(c_1(c_3(c_0(c_3(c_3(c_2(c_1(c_3(z0)))))))))))))))))))) -> 0(3(0(0(2(3(0(2(2(1(0(1(2(0(1(3(1(3(1(3(z0))))))))))))))))))))
   3(c_3(c_0(c_3(c_3(c_0(c_1(c_2(c_1(c_1(c_0(c_3(c_3(c_0(c_2(c_0(c_0(c_2(c_2(c_1(z0)))))))))))))))))))) -> 3(3(3(3(1(3(3(1(1(3(1(2(3(3(3(2(2(0(2(1(z0))))))))))))))))))))
   3(c_0(c_3(c_3(c_3(c_3(c_1(c_3(c_2(c_0(c_1(c_0(c_1(c_0(c_3(c_3(c_0(c_0(c_1(c_1(z0)))))))))))))))))))) -> 3(3(2(3(3(3(2(3(3(0(1(1(0(3(3(3(0(3(3(0(z0))))))))))))))))))))
   3(c_1(c_0(c_1(c_1(c_1(c_3(c_1(c_0(c_0(c_0(c_2(c_1(c_0(c_1(c_2(c_0(c_0(c_0(c_3(z0)))))))))))))))))))) -> 0(3(0(2(2(0(1(0(1(0(0(2(2(3(2(3(0(1(0(3(z0))))))))))))))))))))
   3(c_3(c_0(c_2(c_3(c_3(c_0(c_1(c_3(c_0(c_0(c_1(c_2(c_2(c_2(c_2(c_3(c_3(c_2(c_1(z0)))))))))))))))))))) -> 3(1(3(3(1(0(3(0(3(0(2(3(3(1(0(1(0(3(1(0(z0))))))))))))))))))))
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   3(c_0(c_2(c_1(c_2(c_1(c_3(c_1(c_3(c_0(c_3(c_1(c_3(c_0(c_2(c_0(c_2(c_0(c_3(c_2(z0)))))))))))))))))))) -> 2(2(3(1(3(1(3(3(1(3(3(0(0(2(1(2(3(3(3(2(z0))))))))))))))))))))
   3(c_0(c_2(c_2(c_1(c_1(c_0(c_1(c_1(c_1(c_3(c_0(c_3(c_1(c_3(c_2(c_1(c_3(c_3(c_0(z0)))))))))))))))))))) -> 0(0(0(0(1(3(3(1(1(3(1(3(0(1(0(3(3(1(1(3(z0))))))))))))))))))))
   3(c_1(c_3(c_0(c_2(c_1(c_1(c_2(c_0(c_3(c_2(c_2(c_1(c_3(c_1(c_1(c_2(c_2(c_3(c_3(z0)))))))))))))))))))) -> 1(0(0(1(3(0(1(1(2(0(3(3(3(3(0(0(3(0(3(2(z0))))))))))))))))))))
   3(c_0(c_2(c_0(c_2(c_0(c_1(c_1(c_3(c_0(c_0(c_3(c_0(c_0(c_2(c_0(c_0(c_3(c_2(c_3(z0)))))))))))))))))))) -> 0(3(2(2(0(3(3(3(1(1(0(0(3(0(2(2(1(1(3(3(z0))))))))))))))))))))
   3(c_0(c_0(c_1(c_1(c_1(c_3(c_3(c_3(c_0(c_2(c_2(c_1(c_3(c_1(c_2(c_3(c_1(c_1(c_0(z0)))))))))))))))))))) -> 1(3(0(2(1(3(3(2(0(2(3(1(3(0(3(0(0(2(1(0(z0))))))))))))))))))))
   3(c_0(c_3(c_2(c_1(c_3(c_0(c_3(c_3(c_0(c_3(c_3(c_0(c_3(c_0(c_3(c_1(c_0(c_0(c_1(z0)))))))))))))))))))) -> 3(3(3(3(2(3(0(1(0(0(0(3(3(1(3(3(3(1(1(2(z0))))))))))))))))))))
   3(c_3(c_1(c_0(c_1(c_3(c_0(c_0(c_3(c_1(c_2(c_1(c_0(c_0(c_3(c_0(c_1(c_0(c_3(c_1(z0)))))))))))))))))))) -> 1(3(3(3(3(2(3(2(2(0(3(1(0(0(1(3(0(3(3(1(z0))))))))))))))))))))
   3(c_3(c_3(c_3(c_1(c_1(c_3(c_2(c_3(c_0(c_3(c_3(c_0(c_3(c_2(c_1(c_0(c_0(c_2(c_2(z0)))))))))))))))))))) -> 3(3(0(3(0(0(3(3(3(1(3(1(1(0(3(0(2(0(1(2(z0))))))))))))))))))))
   3(c_2(c_3(c_0(c_1(c_3(c_2(c_2(c_0(c_1(c_1(c_3(c_3(c_3(c_1(c_2(c_3(c_1(c_1(c_0(z0)))))))))))))))))))) -> 0(0(0(0(3(2(3(1(1(1(0(1(0(0(3(3(0(2(3(1(z0))))))))))))))))))))
   3(c_0(c_3(c_2(c_2(c_2(c_3(c_1(c_3(c_0(c_2(c_1(c_0(c_1(c_0(c_2(c_2(c_3(c_3(c_1(z0)))))))))))))))))))) -> 2(3(0(0(3(1(2(0(3(3(0(0(0(3(3(3(1(0(2(2(z0))))))))))))))))))))
   3(c_2(c_0(c_3(c_3(c_1(c_3(c_2(c_3(c_0(c_3(c_2(c_3(c_1(c_3(c_0(c_2(c_1(c_3(c_0(z0)))))))))))))))))))) -> 3(3(3(0(2(3(3(0(2(0(3(3(3(3(1(0(0(1(3(0(z0))))))))))))))))))))
Tuples:
   ENCARG(cons_0(z0)) -> c(0'(encArg(z0)), ENCARG(z0))
   ENCARG(cons_1(z0)) -> c1(1'(encArg(z0)), ENCARG(z0))
   ENCARG(cons_2(z0)) -> c2(2'(encArg(z0)), ENCARG(z0))
   ENCARG(cons_3(z0)) -> c3(3'(encArg(z0)), ENCARG(z0))
   0'(c_1(c_1(c_1(c_0(c_0(c_0(c_0(c_0(c_0(c_3(c_0(c_1(c_0(c_1(c_0(c_2(c_0(c_3(c_1(z0)))))))))))))))))))) -> c9(1'(0(2(1(3(0(1(0(2(3(0(0(3(3(0(1(0(0(1(0(z0)))))))))))))))))))), 0'(2(1(3(0(1(0(2(3(0(0(3(3(0(1(0(0(1(0(z0))))))))))))))))))), 2'(1(3(0(1(0(2(3(0(0(3(3(0(1(0(0(1(0(z0)))))))))))))))))), 1'(3(0(1(0(2(3(0(0(3(3(0(1(0(0(1(0(z0))))))))))))))))), 3'(0(1(0(2(3(0(0(3(3(0(1(0(0(1(0(z0)))))))))))))))), 0'(1(0(2(3(0(0(3(3(0(1(0(0(1(0(z0))))))))))))))), 1'(0(2(3(0(0(3(3(0(1(0(0(1(0(z0)))))))))))))), 0'(2(3(0(0(3(3(0(1(0(0(1(0(z0))))))))))))), 2'(3(0(0(3(3(0(1(0(0(1(0(z0)))))))))))), 3'(0(0(3(3(0(1(0(0(1(0(z0))))))))))), 0'(0(3(3(0(1(0(0(1(0(z0)))))))))), 0'(3(3(0(1(0(0(1(0(z0))))))))), 3'(3(0(1(0(0(1(0(z0)))))))), 3'(0(1(0(0(1(0(z0))))))), 0'(1(0(0(1(0(z0)))))), 1'(0(0(1(0(z0))))), 0'(0(1(0(z0)))), 0'(1(0(z0))), 1'(0(z0)), 0'(z0))
   0'(c_0(c_1(c_2(c_3(c_0(c_1(c_0(c_3(c_0(c_3(c_1(c_1(c_1(c_0(c_1(c_3(c_3(c_2(c_3(z0)))))))))))))))))))) -> c10(3'(0(3(1(1(0(2(3(0(3(3(1(3(1(0(3(0(1(2(3(z0)))))))))))))))))))), 0'(3(1(1(0(2(3(0(3(3(1(3(1(0(3(0(1(2(3(z0))))))))))))))))))), 3'(1(1(0(2(3(0(3(3(1(3(1(0(3(0(1(2(3(z0)))))))))))))))))), 1'(1(0(2(3(0(3(3(1(3(1(0(3(0(1(2(3(z0))))))))))))))))), 1'(0(2(3(0(3(3(1(3(1(0(3(0(1(2(3(z0)))))))))))))))), 0'(2(3(0(3(3(1(3(1(0(3(0(1(2(3(z0))))))))))))))), 2'(3(0(3(3(1(3(1(0(3(0(1(2(3(z0)))))))))))))), 3'(0(3(3(1(3(1(0(3(0(1(2(3(z0))))))))))))), 0'(3(3(1(3(1(0(3(0(1(2(3(z0)))))))))))), 3'(3(1(3(1(0(3(0(1(2(3(z0))))))))))), 3'(1(3(1(0(3(0(1(2(3(z0)))))))))), 1'(3(1(0(3(0(1(2(3(z0))))))))), 3'(1(0(3(0(1(2(3(z0)))))))), 1'(0(3(0(1(2(3(z0))))))), 0'(3(0(1(2(3(z0)))))), 3'(0(1(2(3(z0))))), 0'(1(2(3(z0)))), 1'(2(3(z0))), 2'(3(z0)), 3'(z0))
   0'(c_2(c_0(c_3(c_1(c_1(c_3(c_2(c_3(c_3(c_0(c_2(c_2(c_0(c_2(c_3(c_0(c_0(c_2(c_3(z0)))))))))))))))))))) -> c11(0'(0(3(3(2(3(3(3(0(1(1(1(2(2(3(1(3(1(1(3(z0)))))))))))))))))))), 0'(3(3(2(3(3(3(0(1(1(1(2(2(3(1(3(1(1(3(z0))))))))))))))))))), 3'(3(2(3(3(3(0(1(1(1(2(2(3(1(3(1(1(3(z0)))))))))))))))))), 3'(2(3(3(3(0(1(1(1(2(2(3(1(3(1(1(3(z0))))))))))))))))), 2'(3(3(3(0(1(1(1(2(2(3(1(3(1(1(3(z0)))))))))))))))), 3'(3(3(0(1(1(1(2(2(3(1(3(1(1(3(z0))))))))))))))), 3'(3(0(1(1(1(2(2(3(1(3(1(1(3(z0)))))))))))))), 3'(0(1(1(1(2(2(3(1(3(1(1(3(z0))))))))))))), 0'(1(1(1(2(2(3(1(3(1(1(3(z0)))))))))))), 1'(1(1(2(2(3(1(3(1(1(3(z0))))))))))), 1'(1(2(2(3(1(3(1(1(3(z0)))))))))), 1'(2(2(3(1(3(1(1(3(z0))))))))), 2'(2(3(1(3(1(1(3(z0)))))))), 2'(3(1(3(1(1(3(z0))))))), 3'(1(3(1(1(3(z0)))))), 1'(3(1(1(3(z0))))), 3'(1(1(3(z0)))), 1'(1(3(z0))), 1'(3(z0)), 3'(z0))
   0'(c_0(c_1(c_1(c_0(c_1(c_0(c_2(c_3(c_1(c_3(c_3(c_3(c_1(c_2(c_2(c_0(c_0(c_2(c_3(z0)))))))))))))))))))) -> c12(0'(0(3(0(2(1(3(3(1(3(2(3(3(3(2(0(0(1(0(2(z0)))))))))))))))))))), 0'(3(0(2(1(3(3(1(3(2(3(3(3(2(0(0(1(0(2(z0))))))))))))))))))), 3'(0(2(1(3(3(1(3(2(3(3(3(2(0(0(1(0(2(z0)))))))))))))))))), 0'(2(1(3(3(1(3(2(3(3(3(2(0(0(1(0(2(z0))))))))))))))))), 2'(1(3(3(1(3(2(3(3(3(2(0(0(1(0(2(z0)))))))))))))))), 1'(3(3(1(3(2(3(3(3(2(0(0(1(0(2(z0))))))))))))))), 3'(3(1(3(2(3(3(3(2(0(0(1(0(2(z0)))))))))))))), 3'(1(3(2(3(3(3(2(0(0(1(0(2(z0))))))))))))), 1'(3(2(3(3(3(2(0(0(1(0(2(z0)))))))))))), 3'(2(3(3(3(2(0(0(1(0(2(z0))))))))))), 2'(3(3(3(2(0(0(1(0(2(z0)))))))))), 3'(3(3(2(0(0(1(0(2(z0))))))))), 3'(3(2(0(0(1(0(2(z0)))))))), 3'(2(0(0(1(0(2(z0))))))), 2'(0(0(1(0(2(z0)))))), 0'(0(1(0(2(z0))))), 0'(1(0(2(z0)))), 1'(0(2(z0))), 0'(2(z0)), 2'(z0))
   0'(c_1(c_0(c_1(c_1(c_3(c_3(c_0(c_0(c_1(c_3(c_1(c_3(c_0(c_2(c_3(c_0(c_3(c_2(c_3(z0)))))))))))))))))))) -> c13(1'(2(3(3(0(1(3(3(0(1(0(3(3(3(0(2(0(2(1(3(z0)))))))))))))))))))), 2'(3(3(0(1(3(3(0(1(0(3(3(3(0(2(0(2(1(3(z0))))))))))))))))))), 3'(3(0(1(3(3(0(1(0(3(3(3(0(2(0(2(1(3(z0)))))))))))))))))), 3'(0(1(3(3(0(1(0(3(3(3(0(2(0(2(1(3(z0))))))))))))))))), 0'(1(3(3(0(1(0(3(3(3(0(2(0(2(1(3(z0)))))))))))))))), 1'(3(3(0(1(0(3(3(3(0(2(0(2(1(3(z0))))))))))))))), 3'(3(0(1(0(3(3(3(0(2(0(2(1(3(z0)))))))))))))), 3'(0(1(0(3(3(3(0(2(0(2(1(3(z0))))))))))))), 0'(1(0(3(3(3(0(2(0(2(1(3(z0)))))))))))), 1'(0(3(3(3(0(2(0(2(1(3(z0))))))))))), 0'(3(3(3(0(2(0(2(1(3(z0)))))))))), 3'(3(3(0(2(0(2(1(3(z0))))))))), 3'(3(0(2(0(2(1(3(z0)))))))), 3'(0(2(0(2(1(3(z0))))))), 0'(2(0(2(1(3(z0)))))), 2'(0(2(1(3(z0))))), 0'(2(1(3(z0)))), 2'(1(3(z0))), 1'(3(z0)), 3'(z0))
   0'(c_3(c_0(c_2(c_0(c_1(c_3(c_0(c_1(c_2(c_3(c_2(c_1(c_1(c_0(c_0(c_3(c_3(c_2(c_3(z0)))))))))))))))))))) -> c14(0'(3(3(2(2(3(2(3(2(0(0(2(3(3(3(3(3(0(1(0(z0)))))))))))))))))))), 3'(3(2(2(3(2(3(2(0(0(2(3(3(3(3(3(0(1(0(z0))))))))))))))))))), 3'(2(2(3(2(3(2(0(0(2(3(3(3(3(3(0(1(0(z0)))))))))))))))))), 2'(2(3(2(3(2(0(0(2(3(3(3(3(3(0(1(0(z0))))))))))))))))), 2'(3(2(3(2(0(0(2(3(3(3(3(3(0(1(0(z0)))))))))))))))), 3'(2(3(2(0(0(2(3(3(3(3(3(0(1(0(z0))))))))))))))), 2'(3(2(0(0(2(3(3(3(3(3(0(1(0(z0)))))))))))))), 3'(2(0(0(2(3(3(3(3(3(0(1(0(z0))))))))))))), 2'(0(0(2(3(3(3(3(3(0(1(0(z0)))))))))))), 0'(0(2(3(3(3(3(3(0(1(0(z0))))))))))), 0'(2(3(3(3(3(3(0(1(0(z0)))))))))), 2'(3(3(3(3(3(0(1(0(z0))))))))), 3'(3(3(3(3(0(1(0(z0)))))))), 3'(3(3(3(0(1(0(z0))))))), 3'(3(3(0(1(0(z0)))))), 3'(3(0(1(0(z0))))), 3'(0(1(0(z0)))), 0'(1(0(z0))), 1'(0(z0)), 0'(z0))
   0'(c_3(c_2(c_2(c_2(c_3(c_2(c_2(c_3(c_1(c_3(c_0(c_3(c_2(c_3(c_0(c_3(c_3(c_1(c_3(z0)))))))))))))))))))) -> c15(3'(0(3(3(3(3(3(2(3(3(3(1(0(0(3(2(0(2(2(1(z0)))))))))))))))))))), 0'(3(3(3(3(3(2(3(3(3(1(0(0(3(2(0(2(2(1(z0))))))))))))))))))), 3'(3(3(3(3(2(3(3(3(1(0(0(3(2(0(2(2(1(z0)))))))))))))))))), 3'(3(3(3(2(3(3(3(1(0(0(3(2(0(2(2(1(z0))))))))))))))))), 3'(3(3(2(3(3(3(1(0(0(3(2(0(2(2(1(z0)))))))))))))))), 3'(3(2(3(3(3(1(0(0(3(2(0(2(2(1(z0))))))))))))))), 3'(2(3(3(3(1(0(0(3(2(0(2(2(1(z0)))))))))))))), 2'(3(3(3(1(0(0(3(2(0(2(2(1(z0))))))))))))), 3'(3(3(1(0(0(3(2(0(2(2(1(z0)))))))))))), 3'(3(1(0(0(3(2(0(2(2(1(z0))))))))))), 3'(1(0(0(3(2(0(2(2(1(z0)))))))))), 1'(0(0(3(2(0(2(2(1(z0))))))))), 0'(0(3(2(0(2(2(1(z0)))))))), 0'(3(2(0(2(2(1(z0))))))), 3'(2(0(2(2(1(z0)))))), 2'(0(2(2(1(z0))))), 0'(2(2(1(z0)))), 2'(2(1(z0))), 2'(1(z0)), 1'(z0))
   0'(c_0(c_3(c_1(c_0(c_2(c_0(c_3(c_1(c_0(c_0(c_3(c_0(c_0(c_0(c_3(c_2(c_0(c_2(c_3(z0)))))))))))))))))))) -> c16(0'(0(1(0(2(1(3(0(1(0(0(3(1(0(3(3(2(2(3(3(z0)))))))))))))))))))), 0'(1(0(2(1(3(0(1(0(0(3(1(0(3(3(2(2(3(3(z0))))))))))))))))))), 1'(0(2(1(3(0(1(0(0(3(1(0(3(3(2(2(3(3(z0)))))))))))))))))), 0'(2(1(3(0(1(0(0(3(1(0(3(3(2(2(3(3(z0))))))))))))))))), 2'(1(3(0(1(0(0(3(1(0(3(3(2(2(3(3(z0)))))))))))))))), 1'(3(0(1(0(0(3(1(0(3(3(2(2(3(3(z0))))))))))))))), 3'(0(1(0(0(3(1(0(3(3(2(2(3(3(z0)))))))))))))), 0'(1(0(0(3(1(0(3(3(2(2(3(3(z0))))))))))))), 1'(0(0(3(1(0(3(3(2(2(3(3(z0)))))))))))), 0'(0(3(1(0(3(3(2(2(3(3(z0))))))))))), 0'(3(1(0(3(3(2(2(3(3(z0)))))))))), 3'(1(0(3(3(2(2(3(3(z0))))))))), 1'(0(3(3(2(2(3(3(z0)))))))), 0'(3(3(2(2(3(3(z0))))))), 3'(3(2(2(3(3(z0)))))), 3'(2(2(3(3(z0))))), 2'(2(3(3(z0)))), 2'(3(3(z0))), 3'(3(z0)), 3'(z0))
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   3'(c_2(c_3(c_0(c_1(c_3(c_2(c_2(c_0(c_1(c_1(c_3(c_3(c_3(c_1(c_2(c_3(c_1(c_1(c_0(z0)))))))))))))))))))) -> c108(0'(0(0(0(3(2(3(1(1(1(0(1(0(0(3(3(0(2(3(1(z0)))))))))))))))))))), 0'(0(0(3(2(3(1(1(1(0(1(0(0(3(3(0(2(3(1(z0))))))))))))))))))), 0'(0(3(2(3(1(1(1(0(1(0(0(3(3(0(2(3(1(z0)))))))))))))))))), 0'(3(2(3(1(1(1(0(1(0(0(3(3(0(2(3(1(z0))))))))))))))))), 3'(2(3(1(1(1(0(1(0(0(3(3(0(2(3(1(z0)))))))))))))))), 2'(3(1(1(1(0(1(0(0(3(3(0(2(3(1(z0))))))))))))))), 3'(1(1(1(0(1(0(0(3(3(0(2(3(1(z0)))))))))))))), 1'(1(1(0(1(0(0(3(3(0(2(3(1(z0))))))))))))), 1'(1(0(1(0(0(3(3(0(2(3(1(z0)))))))))))), 1'(0(1(0(0(3(3(0(2(3(1(z0))))))))))), 0'(1(0(0(3(3(0(2(3(1(z0)))))))))), 1'(0(0(3(3(0(2(3(1(z0))))))))), 0'(0(3(3(0(2(3(1(z0)))))))), 0'(3(3(0(2(3(1(z0))))))), 3'(3(0(2(3(1(z0)))))), 3'(0(2(3(1(z0))))), 0'(2(3(1(z0)))), 2'(3(1(z0))), 3'(1(z0)), 1'(z0))
   3'(c_0(c_3(c_2(c_2(c_2(c_3(c_1(c_3(c_0(c_2(c_1(c_0(c_1(c_0(c_2(c_2(c_3(c_3(c_1(z0)))))))))))))))))))) -> c109(2'(3(0(0(3(1(2(0(3(3(0(0(0(3(3(3(1(0(2(2(z0)))))))))))))))))))), 3'(0(0(3(1(2(0(3(3(0(0(0(3(3(3(1(0(2(2(z0))))))))))))))))))), 0'(0(3(1(2(0(3(3(0(0(0(3(3(3(1(0(2(2(z0)))))))))))))))))), 0'(3(1(2(0(3(3(0(0(0(3(3(3(1(0(2(2(z0))))))))))))))))), 3'(1(2(0(3(3(0(0(0(3(3(3(1(0(2(2(z0)))))))))))))))), 1'(2(0(3(3(0(0(0(3(3(3(1(0(2(2(z0))))))))))))))), 2'(0(3(3(0(0(0(3(3(3(1(0(2(2(z0)))))))))))))), 0'(3(3(0(0(0(3(3(3(1(0(2(2(z0))))))))))))), 3'(3(0(0(0(3(3(3(1(0(2(2(z0)))))))))))), 3'(0(0(0(3(3(3(1(0(2(2(z0))))))))))), 0'(0(0(3(3(3(1(0(2(2(z0)))))))))), 0'(0(3(3(3(1(0(2(2(z0))))))))), 0'(3(3(3(1(0(2(2(z0)))))))), 3'(3(3(1(0(2(2(z0))))))), 3'(3(1(0(2(2(z0)))))), 3'(1(0(2(2(z0))))), 1'(0(2(2(z0)))), 0'(2(2(z0))), 2'(2(z0)), 2'(z0))
   3'(c_2(c_0(c_3(c_3(c_1(c_3(c_2(c_3(c_0(c_3(c_2(c_3(c_1(c_3(c_0(c_2(c_1(c_3(c_0(z0)))))))))))))))))))) -> c110(3'(3(3(0(2(3(3(0(2(0(3(3(3(3(1(0(0(1(3(0(z0)))))))))))))))))))), 3'(3(0(2(3(3(0(2(0(3(3(3(3(1(0(0(1(3(0(z0))))))))))))))))))), 3'(0(2(3(3(0(2(0(3(3(3(3(1(0(0(1(3(0(z0)))))))))))))))))), 0'(2(3(3(0(2(0(3(3(3(3(1(0(0(1(3(0(z0))))))))))))))))), 2'(3(3(0(2(0(3(3(3(3(1(0(0(1(3(0(z0)))))))))))))))), 3'(3(0(2(0(3(3(3(3(1(0(0(1(3(0(z0))))))))))))))), 3'(0(2(0(3(3(3(3(1(0(0(1(3(0(z0)))))))))))))), 0'(2(0(3(3(3(3(1(0(0(1(3(0(z0))))))))))))), 2'(0(3(3(3(3(1(0(0(1(3(0(z0)))))))))))), 0'(3(3(3(3(1(0(0(1(3(0(z0))))))))))), 3'(3(3(3(1(0(0(1(3(0(z0)))))))))), 3'(3(3(1(0(0(1(3(0(z0))))))))), 3'(3(1(0(0(1(3(0(z0)))))))), 3'(1(0(0(1(3(0(z0))))))), 1'(0(0(1(3(0(z0)))))), 0'(0(1(3(0(z0))))), 0'(1(3(0(z0)))), 1'(3(0(z0))), 3'(0(z0)), 0'(z0))
   ENCODE_0(z0) -> c8(0'(encArg(z0)))
   ENCODE_1(z0) -> c8(1'(encArg(z0)))
   ENCODE_2(z0) -> c8(2'(encArg(z0)))
   ENCODE_3(z0) -> c8(3'(encArg(z0)))
S tuples:
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   0'(c_0(c_1(c_2(c_3(c_0(c_1(c_0(c_3(c_0(c_3(c_1(c_1(c_1(c_0(c_1(c_3(c_3(c_2(c_3(z0)))))))))))))))))))) -> c10(3'(0(3(1(1(0(2(3(0(3(3(1(3(1(0(3(0(1(2(3(z0)))))))))))))))))))), 0'(3(1(1(0(2(3(0(3(3(1(3(1(0(3(0(1(2(3(z0))))))))))))))))))), 3'(1(1(0(2(3(0(3(3(1(3(1(0(3(0(1(2(3(z0)))))))))))))))))), 1'(1(0(2(3(0(3(3(1(3(1(0(3(0(1(2(3(z0))))))))))))))))), 1'(0(2(3(0(3(3(1(3(1(0(3(0(1(2(3(z0)))))))))))))))), 0'(2(3(0(3(3(1(3(1(0(3(0(1(2(3(z0))))))))))))))), 2'(3(0(3(3(1(3(1(0(3(0(1(2(3(z0)))))))))))))), 3'(0(3(3(1(3(1(0(3(0(1(2(3(z0))))))))))))), 0'(3(3(1(3(1(0(3(0(1(2(3(z0)))))))))))), 3'(3(1(3(1(0(3(0(1(2(3(z0))))))))))), 3'(1(3(1(0(3(0(1(2(3(z0)))))))))), 1'(3(1(0(3(0(1(2(3(z0))))))))), 3'(1(0(3(0(1(2(3(z0)))))))), 1'(0(3(0(1(2(3(z0))))))), 0'(3(0(1(2(3(z0)))))), 3'(0(1(2(3(z0))))), 0'(1(2(3(z0)))), 1'(2(3(z0))), 2'(3(z0)), 3'(z0))
   0'(c_2(c_0(c_3(c_1(c_1(c_3(c_2(c_3(c_3(c_0(c_2(c_2(c_0(c_2(c_3(c_0(c_0(c_2(c_3(z0)))))))))))))))))))) -> c11(0'(0(3(3(2(3(3(3(0(1(1(1(2(2(3(1(3(1(1(3(z0)))))))))))))))))))), 0'(3(3(2(3(3(3(0(1(1(1(2(2(3(1(3(1(1(3(z0))))))))))))))))))), 3'(3(2(3(3(3(0(1(1(1(2(2(3(1(3(1(1(3(z0)))))))))))))))))), 3'(2(3(3(3(0(1(1(1(2(2(3(1(3(1(1(3(z0))))))))))))))))), 2'(3(3(3(0(1(1(1(2(2(3(1(3(1(1(3(z0)))))))))))))))), 3'(3(3(0(1(1(1(2(2(3(1(3(1(1(3(z0))))))))))))))), 3'(3(0(1(1(1(2(2(3(1(3(1(1(3(z0)))))))))))))), 3'(0(1(1(1(2(2(3(1(3(1(1(3(z0))))))))))))), 0'(1(1(1(2(2(3(1(3(1(1(3(z0)))))))))))), 1'(1(1(2(2(3(1(3(1(1(3(z0))))))))))), 1'(1(2(2(3(1(3(1(1(3(z0)))))))))), 1'(2(2(3(1(3(1(1(3(z0))))))))), 2'(2(3(1(3(1(1(3(z0)))))))), 2'(3(1(3(1(1(3(z0))))))), 3'(1(3(1(1(3(z0)))))), 1'(3(1(1(3(z0))))), 3'(1(1(3(z0)))), 1'(1(3(z0))), 1'(3(z0)), 3'(z0))
   0'(c_0(c_1(c_1(c_0(c_1(c_0(c_2(c_3(c_1(c_3(c_3(c_3(c_1(c_2(c_2(c_0(c_0(c_2(c_3(z0)))))))))))))))))))) -> c12(0'(0(3(0(2(1(3(3(1(3(2(3(3(3(2(0(0(1(0(2(z0)))))))))))))))))))), 0'(3(0(2(1(3(3(1(3(2(3(3(3(2(0(0(1(0(2(z0))))))))))))))))))), 3'(0(2(1(3(3(1(3(2(3(3(3(2(0(0(1(0(2(z0)))))))))))))))))), 0'(2(1(3(3(1(3(2(3(3(3(2(0(0(1(0(2(z0))))))))))))))))), 2'(1(3(3(1(3(2(3(3(3(2(0(0(1(0(2(z0)))))))))))))))), 1'(3(3(1(3(2(3(3(3(2(0(0(1(0(2(z0))))))))))))))), 3'(3(1(3(2(3(3(3(2(0(0(1(0(2(z0)))))))))))))), 3'(1(3(2(3(3(3(2(0(0(1(0(2(z0))))))))))))), 1'(3(2(3(3(3(2(0(0(1(0(2(z0)))))))))))), 3'(2(3(3(3(2(0(0(1(0(2(z0))))))))))), 2'(3(3(3(2(0(0(1(0(2(z0)))))))))), 3'(3(3(2(0(0(1(0(2(z0))))))))), 3'(3(2(0(0(1(0(2(z0)))))))), 3'(2(0(0(1(0(2(z0))))))), 2'(0(0(1(0(2(z0)))))), 0'(0(1(0(2(z0))))), 0'(1(0(2(z0)))), 1'(0(2(z0))), 0'(2(z0)), 2'(z0))
   0'(c_1(c_0(c_1(c_1(c_3(c_3(c_0(c_0(c_1(c_3(c_1(c_3(c_0(c_2(c_3(c_0(c_3(c_2(c_3(z0)))))))))))))))))))) -> c13(1'(2(3(3(0(1(3(3(0(1(0(3(3(3(0(2(0(2(1(3(z0)))))))))))))))))))), 2'(3(3(0(1(3(3(0(1(0(3(3(3(0(2(0(2(1(3(z0))))))))))))))))))), 3'(3(0(1(3(3(0(1(0(3(3(3(0(2(0(2(1(3(z0)))))))))))))))))), 3'(0(1(3(3(0(1(0(3(3(3(0(2(0(2(1(3(z0))))))))))))))))), 0'(1(3(3(0(1(0(3(3(3(0(2(0(2(1(3(z0)))))))))))))))), 1'(3(3(0(1(0(3(3(3(0(2(0(2(1(3(z0))))))))))))))), 3'(3(0(1(0(3(3(3(0(2(0(2(1(3(z0)))))))))))))), 3'(0(1(0(3(3(3(0(2(0(2(1(3(z0))))))))))))), 0'(1(0(3(3(3(0(2(0(2(1(3(z0)))))))))))), 1'(0(3(3(3(0(2(0(2(1(3(z0))))))))))), 0'(3(3(3(0(2(0(2(1(3(z0)))))))))), 3'(3(3(0(2(0(2(1(3(z0))))))))), 3'(3(0(2(0(2(1(3(z0)))))))), 3'(0(2(0(2(1(3(z0))))))), 0'(2(0(2(1(3(z0)))))), 2'(0(2(1(3(z0))))), 0'(2(1(3(z0)))), 2'(1(3(z0))), 1'(3(z0)), 3'(z0))
   0'(c_3(c_0(c_2(c_0(c_1(c_3(c_0(c_1(c_2(c_3(c_2(c_1(c_1(c_0(c_0(c_3(c_3(c_2(c_3(z0)))))))))))))))))))) -> c14(0'(3(3(2(2(3(2(3(2(0(0(2(3(3(3(3(3(0(1(0(z0)))))))))))))))))))), 3'(3(2(2(3(2(3(2(0(0(2(3(3(3(3(3(0(1(0(z0))))))))))))))))))), 3'(2(2(3(2(3(2(0(0(2(3(3(3(3(3(0(1(0(z0)))))))))))))))))), 2'(2(3(2(3(2(0(0(2(3(3(3(3(3(0(1(0(z0))))))))))))))))), 2'(3(2(3(2(0(0(2(3(3(3(3(3(0(1(0(z0)))))))))))))))), 3'(2(3(2(0(0(2(3(3(3(3(3(0(1(0(z0))))))))))))))), 2'(3(2(0(0(2(3(3(3(3(3(0(1(0(z0)))))))))))))), 3'(2(0(0(2(3(3(3(3(3(0(1(0(z0))))))))))))), 2'(0(0(2(3(3(3(3(3(0(1(0(z0)))))))))))), 0'(0(2(3(3(3(3(3(0(1(0(z0))))))))))), 0'(2(3(3(3(3(3(0(1(0(z0)))))))))), 2'(3(3(3(3(3(0(1(0(z0))))))))), 3'(3(3(3(3(0(1(0(z0)))))))), 3'(3(3(3(0(1(0(z0))))))), 3'(3(3(0(1(0(z0)))))), 3'(3(0(1(0(z0))))), 3'(0(1(0(z0)))), 0'(1(0(z0))), 1'(0(z0)), 0'(z0))
   0'(c_3(c_2(c_2(c_2(c_3(c_2(c_2(c_3(c_1(c_3(c_0(c_3(c_2(c_3(c_0(c_3(c_3(c_1(c_3(z0)))))))))))))))))))) -> c15(3'(0(3(3(3(3(3(2(3(3(3(1(0(0(3(2(0(2(2(1(z0)))))))))))))))))))), 0'(3(3(3(3(3(2(3(3(3(1(0(0(3(2(0(2(2(1(z0))))))))))))))))))), 3'(3(3(3(3(2(3(3(3(1(0(0(3(2(0(2(2(1(z0)))))))))))))))))), 3'(3(3(3(2(3(3(3(1(0(0(3(2(0(2(2(1(z0))))))))))))))))), 3'(3(3(2(3(3(3(1(0(0(3(2(0(2(2(1(z0)))))))))))))))), 3'(3(2(3(3(3(1(0(0(3(2(0(2(2(1(z0))))))))))))))), 3'(2(3(3(3(1(0(0(3(2(0(2(2(1(z0)))))))))))))), 2'(3(3(3(1(0(0(3(2(0(2(2(1(z0))))))))))))), 3'(3(3(1(0(0(3(2(0(2(2(1(z0)))))))))))), 3'(3(1(0(0(3(2(0(2(2(1(z0))))))))))), 3'(1(0(0(3(2(0(2(2(1(z0)))))))))), 1'(0(0(3(2(0(2(2(1(z0))))))))), 0'(0(3(2(0(2(2(1(z0)))))))), 0'(3(2(0(2(2(1(z0))))))), 3'(2(0(2(2(1(z0)))))), 2'(0(2(2(1(z0))))), 0'(2(2(1(z0)))), 2'(2(1(z0))), 2'(1(z0)), 1'(z0))
   0'(c_0(c_3(c_1(c_0(c_2(c_0(c_3(c_1(c_0(c_0(c_3(c_0(c_0(c_0(c_3(c_2(c_0(c_2(c_3(z0)))))))))))))))))))) -> c16(0'(0(1(0(2(1(3(0(1(0(0(3(1(0(3(3(2(2(3(3(z0)))))))))))))))))))), 0'(1(0(2(1(3(0(1(0(0(3(1(0(3(3(2(2(3(3(z0))))))))))))))))))), 1'(0(2(1(3(0(1(0(0(3(1(0(3(3(2(2(3(3(z0)))))))))))))))))), 0'(2(1(3(0(1(0(0(3(1(0(3(3(2(2(3(3(z0))))))))))))))))), 2'(1(3(0(1(0(0(3(1(0(3(3(2(2(3(3(z0)))))))))))))))), 1'(3(0(1(0(0(3(1(0(3(3(2(2(3(3(z0))))))))))))))), 3'(0(1(0(0(3(1(0(3(3(2(2(3(3(z0)))))))))))))), 0'(1(0(0(3(1(0(3(3(2(2(3(3(z0))))))))))))), 1'(0(0(3(1(0(3(3(2(2(3(3(z0)))))))))))), 0'(0(3(1(0(3(3(2(2(3(3(z0))))))))))), 0'(3(1(0(3(3(2(2(3(3(z0)))))))))), 3'(1(0(3(3(2(2(3(3(z0))))))))), 1'(0(3(3(2(2(3(3(z0)))))))), 0'(3(3(2(2(3(3(z0))))))), 3'(3(2(2(3(3(z0)))))), 3'(2(2(3(3(z0))))), 2'(2(3(3(z0)))), 2'(3(3(z0))), 3'(3(z0)), 3'(z0))
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   3'(c_2(c_3(c_0(c_1(c_3(c_2(c_2(c_0(c_1(c_1(c_3(c_3(c_3(c_1(c_2(c_3(c_1(c_1(c_0(z0)))))))))))))))))))) -> c108(0'(0(0(0(3(2(3(1(1(1(0(1(0(0(3(3(0(2(3(1(z0)))))))))))))))))))), 0'(0(0(3(2(3(1(1(1(0(1(0(0(3(3(0(2(3(1(z0))))))))))))))))))), 0'(0(3(2(3(1(1(1(0(1(0(0(3(3(0(2(3(1(z0)))))))))))))))))), 0'(3(2(3(1(1(1(0(1(0(0(3(3(0(2(3(1(z0))))))))))))))))), 3'(2(3(1(1(1(0(1(0(0(3(3(0(2(3(1(z0)))))))))))))))), 2'(3(1(1(1(0(1(0(0(3(3(0(2(3(1(z0))))))))))))))), 3'(1(1(1(0(1(0(0(3(3(0(2(3(1(z0)))))))))))))), 1'(1(1(0(1(0(0(3(3(0(2(3(1(z0))))))))))))), 1'(1(0(1(0(0(3(3(0(2(3(1(z0)))))))))))), 1'(0(1(0(0(3(3(0(2(3(1(z0))))))))))), 0'(1(0(0(3(3(0(2(3(1(z0)))))))))), 1'(0(0(3(3(0(2(3(1(z0))))))))), 0'(0(3(3(0(2(3(1(z0)))))))), 0'(3(3(0(2(3(1(z0))))))), 3'(3(0(2(3(1(z0)))))), 3'(0(2(3(1(z0))))), 0'(2(3(1(z0)))), 2'(3(1(z0))), 3'(1(z0)), 1'(z0))
   3'(c_0(c_3(c_2(c_2(c_2(c_3(c_1(c_3(c_0(c_2(c_1(c_0(c_1(c_0(c_2(c_2(c_3(c_3(c_1(z0)))))))))))))))))))) -> c109(2'(3(0(0(3(1(2(0(3(3(0(0(0(3(3(3(1(0(2(2(z0)))))))))))))))))))), 3'(0(0(3(1(2(0(3(3(0(0(0(3(3(3(1(0(2(2(z0))))))))))))))))))), 0'(0(3(1(2(0(3(3(0(0(0(3(3(3(1(0(2(2(z0)))))))))))))))))), 0'(3(1(2(0(3(3(0(0(0(3(3(3(1(0(2(2(z0))))))))))))))))), 3'(1(2(0(3(3(0(0(0(3(3(3(1(0(2(2(z0)))))))))))))))), 1'(2(0(3(3(0(0(0(3(3(3(1(0(2(2(z0))))))))))))))), 2'(0(3(3(0(0(0(3(3(3(1(0(2(2(z0)))))))))))))), 0'(3(3(0(0(0(3(3(3(1(0(2(2(z0))))))))))))), 3'(3(0(0(0(3(3(3(1(0(2(2(z0)))))))))))), 3'(0(0(0(3(3(3(1(0(2(2(z0))))))))))), 0'(0(0(3(3(3(1(0(2(2(z0)))))))))), 0'(0(3(3(3(1(0(2(2(z0))))))))), 0'(3(3(3(1(0(2(2(z0)))))))), 3'(3(3(1(0(2(2(z0))))))), 3'(3(1(0(2(2(z0)))))), 3'(1(0(2(2(z0))))), 1'(0(2(2(z0)))), 0'(2(2(z0))), 2'(2(z0)), 2'(z0))
   3'(c_2(c_0(c_3(c_3(c_1(c_3(c_2(c_3(c_0(c_3(c_2(c_3(c_1(c_3(c_0(c_2(c_1(c_3(c_0(z0)))))))))))))))))))) -> c110(3'(3(3(0(2(3(3(0(2(0(3(3(3(3(1(0(0(1(3(0(z0)))))))))))))))))))), 3'(3(0(2(3(3(0(2(0(3(3(3(3(1(0(0(1(3(0(z0))))))))))))))))))), 3'(0(2(3(3(0(2(0(3(3(3(3(1(0(0(1(3(0(z0)))))))))))))))))), 0'(2(3(3(0(2(0(3(3(3(3(1(0(0(1(3(0(z0))))))))))))))))), 2'(3(3(0(2(0(3(3(3(3(1(0(0(1(3(0(z0)))))))))))))))), 3'(3(0(2(0(3(3(3(3(1(0(0(1(3(0(z0))))))))))))))), 3'(0(2(0(3(3(3(3(1(0(0(1(3(0(z0)))))))))))))), 0'(2(0(3(3(3(3(1(0(0(1(3(0(z0))))))))))))), 2'(0(3(3(3(3(1(0(0(1(3(0(z0)))))))))))), 0'(3(3(3(3(1(0(0(1(3(0(z0))))))))))), 3'(3(3(3(1(0(0(1(3(0(z0)))))))))), 3'(3(3(1(0(0(1(3(0(z0))))))))), 3'(3(1(0(0(1(3(0(z0)))))))), 3'(1(0(0(1(3(0(z0))))))), 1'(0(0(1(3(0(z0)))))), 0'(0(1(3(0(z0))))), 0'(1(3(0(z0)))), 1'(3(0(z0))), 3'(0(z0)), 0'(z0))
K tuples:none
Defined Rule Symbols:   encArg_1, 0_1, 1_1, 2_1, 3_1

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

Compound Symbols:   c_2, c1_2, c2_2, c3_2, c9_20, c10_20, 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_20, c33_20, c34_20, c35_20, c37_20, c38_20, c39_20, c40_20, c41_20, c42_20, c43_20, c44_20, c45_20, c46_20, c47_20, c48_20, c49_20, c50_20, c51_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_20, c73_20, c74_20, c75_20, c76_20, c77_20, c78_20, c79_20, c80_20, c81_20, c82_20, c83_20, c84_20, c85_20, c86_20, c87_20, c88_20, c90_20, c91_20, c92_20, c93_20, c94_20, c95_20, c96_20, c97_20, c98_20, c99_20, c100_20, c101_20, c102_20, c103_20, c104_20, c105_20, c106_20, c107_20, c108_20, c109_20, c110_20, c8_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)))

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

(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))
   0(z0) -> c_0(z0)
   0(c_1(c_1(c_1(c_0(c_0(c_0(c_0(c_0(c_0(c_3(c_0(c_1(c_0(c_1(c_0(c_2(c_0(c_3(c_1(z0)))))))))))))))))))) -> 1(0(2(1(3(0(1(0(2(3(0(0(3(3(0(1(0(0(1(0(z0))))))))))))))))))))
   0(c_0(c_1(c_2(c_3(c_0(c_1(c_0(c_3(c_0(c_3(c_1(c_1(c_1(c_0(c_1(c_3(c_3(c_2(c_3(z0)))))))))))))))))))) -> 3(0(3(1(1(0(2(3(0(3(3(1(3(1(0(3(0(1(2(3(z0))))))))))))))))))))
   0(c_2(c_0(c_3(c_1(c_1(c_3(c_2(c_3(c_3(c_0(c_2(c_2(c_0(c_2(c_3(c_0(c_0(c_2(c_3(z0)))))))))))))))))))) -> 0(0(3(3(2(3(3(3(0(1(1(1(2(2(3(1(3(1(1(3(z0))))))))))))))))))))
   0(c_0(c_1(c_1(c_0(c_1(c_0(c_2(c_3(c_1(c_3(c_3(c_3(c_1(c_2(c_2(c_0(c_0(c_2(c_3(z0)))))))))))))))))))) -> 0(0(3(0(2(1(3(3(1(3(2(3(3(3(2(0(0(1(0(2(z0))))))))))))))))))))
   0(c_1(c_0(c_1(c_1(c_3(c_3(c_0(c_0(c_1(c_3(c_1(c_3(c_0(c_2(c_3(c_0(c_3(c_2(c_3(z0)))))))))))))))))))) -> 1(2(3(3(0(1(3(3(0(1(0(3(3(3(0(2(0(2(1(3(z0))))))))))))))))))))
   0(c_3(c_0(c_2(c_0(c_1(c_3(c_0(c_1(c_2(c_3(c_2(c_1(c_1(c_0(c_0(c_3(c_3(c_2(c_3(z0)))))))))))))))))))) -> 0(3(3(2(2(3(2(3(2(0(0(2(3(3(3(3(3(0(1(0(z0))))))))))))))))))))
   0(c_3(c_2(c_2(c_2(c_3(c_2(c_2(c_3(c_1(c_3(c_0(c_3(c_2(c_3(c_0(c_3(c_3(c_1(c_3(z0)))))))))))))))))))) -> 3(0(3(3(3(3(3(2(3(3(3(1(0(0(3(2(0(2(2(1(z0))))))))))))))))))))
   0(c_0(c_3(c_1(c_0(c_2(c_0(c_3(c_1(c_0(c_0(c_3(c_0(c_0(c_0(c_3(c_2(c_0(c_2(c_3(z0)))))))))))))))))))) -> 0(0(1(0(2(1(3(0(1(0(0(3(1(0(3(3(2(2(3(3(z0))))))))))))))))))))
   0(c_0(c_0(c_1(c_1(c_0(c_3(c_3(c_3(c_3(c_0(c_1(c_0(c_2(c_2(c_1(c_3(c_2(c_0(c_0(z0)))))))))))))))))))) -> 0(0(1(3(3(0(1(3(3(0(1(2(3(2(2(0(3(2(3(3(z0))))))))))))))))))))
   0(c_1(c_3(c_1(c_2(c_1(c_3(c_1(c_3(c_3(c_1(c_2(c_2(c_1(c_0(c_3(c_2(c_1(c_1(c_1(z0)))))))))))))))))))) -> 0(0(2(0(0(3(3(1(1(1(1(3(0(1(1(0(0(2(1(2(z0))))))))))))))))))))
   0(c_0(c_3(c_2(c_0(c_3(c_3(c_2(c_0(c_2(c_1(c_3(c_3(c_3(c_2(c_2(c_3(c_1(c_2(c_3(z0)))))))))))))))))))) -> 3(1(3(0(1(0(0(0(1(1(3(0(2(2(1(2(3(1(0(3(z0))))))))))))))))))))
   0(c_2(c_2(c_1(c_1(c_2(c_0(c_1(c_1(c_0(c_0(c_1(c_1(c_2(c_0(c_1(c_0(c_3(c_3(c_3(z0)))))))))))))))))))) -> 3(1(0(1(3(1(0(3(0(3(1(3(2(1(0(1(1(3(1(3(z0))))))))))))))))))))
   0(c_2(c_2(c_2(c_1(c_2(c_2(c_1(c_1(c_1(c_1(c_2(c_3(c_2(c_0(c_3(c_3(c_3(c_3(c_0(z0)))))))))))))))))))) -> 3(1(2(3(3(3(1(0(3(3(2(0(2(2(3(1(1(1(3(1(z0))))))))))))))))))))
   0(c_0(c_3(c_2(c_1(c_2(c_0(c_2(c_3(c_2(c_1(c_0(c_1(c_0(c_3(c_3(c_0(c_0(c_3(c_1(z0)))))))))))))))))))) -> 3(2(3(3(0(3(1(1(0(1(1(1(1(1(3(0(3(3(0(1(z0))))))))))))))))))))
   0(c_1(c_3(c_3(c_0(c_0(c_2(c_2(c_3(c_2(c_0(c_0(c_0(c_1(c_2(c_0(c_3(c_2(c_1(c_3(z0)))))))))))))))))))) -> 0(0(3(0(0(0(2(1(0(0(1(2(0(0(3(3(3(3(1(0(z0))))))))))))))))))))
   0(c_0(c_3(c_0(c_1(c_3(c_1(c_2(c_1(c_1(c_3(c_0(c_0(c_1(c_3(c_0(c_1(c_2(c_1(c_3(z0)))))))))))))))))))) -> 2(3(1(2(3(2(3(3(0(2(3(3(0(0(0(2(1(2(3(3(z0))))))))))))))))))))
   0(c_2(c_2(c_3(c_3(c_0(c_0(c_3(c_3(c_1(c_3(c_0(c_3(c_2(c_2(c_1(c_1(c_2(c_3(c_3(z0)))))))))))))))))))) -> 1(3(3(3(0(1(0(0(3(0(1(3(3(3(3(0(2(3(2(3(z0))))))))))))))))))))
   0(c_0(c_1(c_2(c_2(c_1(c_3(c_3(c_2(c_2(c_1(c_2(c_0(c_2(c_3(c_0(c_0(c_1(c_3(c_3(z0)))))))))))))))))))) -> 3(0(1(2(1(2(0(2(2(1(3(2(2(3(3(3(3(3(3(3(z0))))))))))))))))))))
   0(c_1(c_3(c_1(c_0(c_1(c_3(c_3(c_1(c_3(c_1(c_2(c_2(c_0(c_0(c_1(c_3(c_3(c_0(c_0(z0)))))))))))))))))))) -> 1(1(1(3(1(3(0(2(3(2(3(0(2(3(3(2(3(3(0(3(z0))))))))))))))))))))
   0(c_0(c_0(c_0(c_1(c_0(c_2(c_3(c_1(c_3(c_0(c_2(c_0(c_1(c_0(c_2(c_1(c_2(c_3(c_3(z0)))))))))))))))))))) -> 0(0(0(2(2(1(3(3(3(0(3(3(1(3(1(1(1(1(3(3(z0))))))))))))))))))))
   0(c_2(c_1(c_3(c_0(c_0(c_0(c_3(c_2(c_0(c_1(c_1(c_0(c_0(c_0(c_2(c_2(c_3(c_1(c_3(z0)))))))))))))))))))) -> 3(3(0(3(0(3(3(0(1(1(0(1(0(2(0(2(3(1(2(3(z0))))))))))))))))))))
   0(c_3(c_1(c_0(c_0(c_3(c_1(c_2(c_2(c_1(c_0(c_0(c_0(c_3(c_0(c_1(c_2(c_0(c_3(c_3(z0)))))))))))))))))))) -> 0(2(3(2(3(3(1(0(0(0(3(1(1(0(2(0(0(0(3(3(z0))))))))))))))))))))
   0(c_0(c_0(c_3(c_1(c_3(c_2(c_1(c_3(c_3(c_3(c_2(c_2(c_3(c_1(c_3(c_0(c_3(c_2(c_3(z0)))))))))))))))))))) -> 0(3(3(2(0(1(2(3(0(0(2(2(1(3(3(3(2(3(3(3(z0))))))))))))))))))))
   0(c_0(c_2(c_0(c_2(c_3(c_0(c_0(c_1(c_1(c_3(c_1(c_3(c_0(c_0(c_3(c_0(c_3(c_0(c_1(z0)))))))))))))))))))) -> 1(3(0(1(3(0(3(0(3(0(1(0(2(3(0(2(0(0(0(2(z0))))))))))))))))))))
   0(c_1(c_3(c_1(c_0(c_2(c_0(c_2(c_2(c_2(c_1(c_2(c_0(c_1(c_3(c_3(c_0(c_3(c_0(c_3(z0)))))))))))))))))))) -> 3(2(1(0(3(2(3(0(0(0(1(3(0(0(3(3(3(1(3(2(z0))))))))))))))))))))
   0(c_2(c_2(c_2(c_1(c_3(c_2(c_1(c_2(c_1(c_3(c_0(c_2(c_3(c_2(c_1(c_0(c_0(c_1(c_3(z0)))))))))))))))))))) -> 0(1(0(2(0(0(0(0(0(3(0(0(0(2(3(2(2(3(3(0(z0))))))))))))))))))))
   0(c_2(c_1(c_3(c_2(c_0(c_2(c_1(c_0(c_1(c_0(c_3(c_0(c_1(c_1(c_1(c_3(c_3(c_3(c_0(z0)))))))))))))))))))) -> 3(0(2(1(3(3(3(3(1(3(2(2(1(0(0(0(3(0(1(1(z0))))))))))))))))))))
   1(z0) -> c_1(z0)
   1(c_1(c_3(c_2(c_1(c_1(c_0(c_0(c_2(c_2(c_3(c_1(c_1(c_1(c_0(c_3(c_3(c_0(c_3(c_3(z0)))))))))))))))))))) -> 0(2(2(3(3(0(2(0(0(0(1(0(2(3(3(0(3(0(1(3(z0))))))))))))))))))))
   1(c_1(c_0(c_2(c_0(c_1(c_3(c_3(c_1(c_1(c_1(c_0(c_1(c_3(c_3(c_3(c_1(c_0(c_1(c_2(z0)))))))))))))))))))) -> 1(0(2(1(2(1(2(3(2(0(3(3(3(3(3(0(0(2(0(0(z0))))))))))))))))))))
   1(c_3(c_1(c_3(c_1(c_3(c_3(c_1(c_3(c_2(c_3(c_0(c_3(c_2(c_2(c_3(c_0(c_3(c_0(c_3(z0)))))))))))))))))))) -> 0(3(2(3(3(3(0(0(0(1(0(3(1(2(3(2(3(0(0(3(z0))))))))))))))))))))
   1(c_0(c_3(c_0(c_0(c_1(c_1(c_1(c_3(c_3(c_0(c_1(c_0(c_0(c_3(c_1(c_1(c_3(c_2(c_3(z0)))))))))))))))))))) -> 3(2(3(3(3(3(3(0(1(3(0(3(1(2(0(3(3(3(1(2(z0))))))))))))))))))))
   1(c_1(c_3(c_3(c_0(c_1(c_3(c_0(c_2(c_1(c_2(c_0(c_2(c_1(c_1(c_1(c_0(c_2(c_2(c_3(z0)))))))))))))))))))) -> 1(3(3(3(2(1(3(3(0(2(0(3(1(2(0(3(0(3(2(0(z0))))))))))))))))))))
   1(c_1(c_0(c_1(c_1(c_3(c_2(c_0(c_3(c_0(c_2(c_3(c_0(c_0(c_0(c_0(c_2(c_0(c_2(c_3(z0)))))))))))))))))))) -> 1(2(3(0(3(0(2(1(0(2(0(3(1(3(0(3(3(2(2(3(z0))))))))))))))))))))
   1(c_1(c_1(c_3(c_2(c_3(c_3(c_3(c_1(c_1(c_0(c_1(c_0(c_0(c_0(c_0(c_0(c_0(c_2(c_3(z0)))))))))))))))))))) -> 1(3(0(0(0(3(1(0(1(1(3(1(0(0(3(1(2(0(3(3(z0))))))))))))))))))))
   1(c_1(c_1(c_3(c_0(c_1(c_0(c_1(c_2(c_2(c_1(c_0(c_2(c_2(c_2(c_3(c_1(c_0(c_3(c_3(z0)))))))))))))))))))) -> 2(2(0(0(3(3(1(2(1(3(3(0(2(3(2(2(1(2(3(3(z0))))))))))))))))))))
   1(c_0(c_0(c_0(c_3(c_3(c_3(c_1(c_1(c_3(c_2(c_0(c_3(c_1(c_2(c_0(c_1(c_1(c_2(c_3(z0)))))))))))))))))))) -> 3(1(3(1(3(3(3(2(2(0(0(3(0(1(3(0(0(2(0(0(z0))))))))))))))))))))
   1(c_0(c_2(c_3(c_0(c_2(c_1(c_2(c_0(c_3(c_0(c_1(c_3(c_3(c_0(c_3(c_0(c_1(c_2(c_2(z0)))))))))))))))))))) -> 0(2(2(0(1(1(3(0(1(1(3(3(0(3(3(0(3(1(3(1(z0))))))))))))))))))))
   1(c_1(c_0(c_1(c_0(c_1(c_2(c_0(c_3(c_0(c_2(c_2(c_3(c_3(c_0(c_2(c_2(c_3(c_1(c_3(z0)))))))))))))))))))) -> 1(1(1(0(2(3(3(0(3(1(3(0(2(1(1(0(3(2(3(3(z0))))))))))))))))))))
   1(c_2(c_3(c_0(c_0(c_3(c_0(c_2(c_0(c_1(c_0(c_1(c_1(c_1(c_3(c_3(c_2(c_1(c_2(c_3(z0)))))))))))))))))))) -> 2(3(3(3(0(1(1(3(3(3(0(1(2(3(0(0(2(2(0(0(z0))))))))))))))))))))
   1(c_3(c_1(c_2(c_0(c_3(c_0(c_0(c_2(c_1(c_0(c_3(c_0(c_3(c_2(c_1(c_3(c_3(c_2(c_3(z0)))))))))))))))))))) -> 0(3(1(1(3(0(1(1(2(3(0(1(0(0(1(0(3(3(0(0(z0))))))))))))))))))))
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   2(z0) -> c_2(z0)
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   2(c_3(c_2(c_2(c_2(c_3(c_0(c_0(c_3(c_2(c_1(c_0(c_3(c_0(c_2(c_2(c_0(c_0(c_1(c_1(z0)))))))))))))))))))) -> 0(3(1(3(0(1(2(0(1(2(0(3(1(3(2(1(0(3(0(0(z0))))))))))))))))))))
   2(c_2(c_3(c_3(c_0(c_2(c_3(c_0(c_0(c_1(c_1(c_0(c_0(c_0(c_2(c_2(c_2(c_3(c_1(c_2(z0)))))))))))))))))))) -> 0(3(0(3(2(0(1(0(1(2(0(3(3(0(2(2(3(0(3(2(z0))))))))))))))))))))
   2(c_2(c_0(c_1(c_3(c_3(c_3(c_3(c_1(c_1(c_0(c_3(c_1(c_2(c_0(c_0(c_3(c_1(c_2(c_3(z0)))))))))))))))))))) -> 0(3(3(0(3(3(2(3(0(1(0(1(3(3(3(2(3(2(1(3(z0))))))))))))))))))))
   2(c_1(c_3(c_1(c_3(c_3(c_1(c_2(c_2(c_2(c_0(c_1(c_3(c_0(c_3(c_3(c_2(c_2(c_0(c_3(z0)))))))))))))))))))) -> 2(2(0(1(3(3(1(2(0(0(0(3(3(0(1(3(1(3(0(3(z0))))))))))))))))))))
   2(c_1(c_3(c_1(c_2(c_2(c_0(c_0(c_2(c_2(c_2(c_2(c_3(c_0(c_3(c_0(c_1(c_3(c_1(c_3(z0)))))))))))))))))))) -> 3(0(2(0(3(3(2(2(3(3(0(2(3(2(1(0(0(2(1(3(z0))))))))))))))))))))
   2(c_0(c_3(c_1(c_0(c_1(c_3(c_1(c_1(c_3(c_2(c_2(c_3(c_2(c_2(c_0(c_1(c_3(c_1(c_3(z0)))))))))))))))))))) -> 3(0(0(0(2(0(1(0(1(0(0(1(0(0(3(1(0(1(3(3(z0))))))))))))))))))))
   2(c_1(c_1(c_2(c_3(c_2(c_1(c_2(c_3(c_2(c_0(c_0(c_2(c_3(c_3(c_0(c_2(c_1(c_3(c_3(z0)))))))))))))))))))) -> 0(1(0(0(3(0(1(0(3(0(1(1(1(3(3(3(0(0(3(3(z0))))))))))))))))))))
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   2(c_1(c_0(c_3(c_0(c_0(c_2(c_2(c_3(c_1(c_0(c_0(c_0(c_0(c_3(c_1(c_3(c_0(c_3(c_3(z0)))))))))))))))))))) -> 1(2(2(0(0(2(3(3(3(0(3(0(1(3(1(3(2(3(3(3(z0))))))))))))))))))))
   2(c_1(c_0(c_1(c_1(c_3(c_1(c_3(c_0(c_1(c_3(c_2(c_0(c_3(c_1(c_0(c_0(c_0(c_1(c_3(z0)))))))))))))))))))) -> 0(0(1(2(1(3(3(3(0(2(0(2(1(3(3(0(3(2(1(3(z0))))))))))))))))))))
   2(c_2(c_1(c_0(c_1(c_0(c_2(c_3(c_1(c_2(c_1(c_2(c_2(c_1(c_3(c_3(c_0(c_3(c_1(c_3(z0)))))))))))))))))))) -> 2(2(0(0(3(3(3(1(1(0(0(3(3(2(1(1(0(2(2(3(z0))))))))))))))))))))
   2(c_0(c_0(c_3(c_3(c_1(c_2(c_3(c_2(c_2(c_3(c_3(c_2(c_1(c_1(c_2(c_0(c_1(c_3(c_3(z0)))))))))))))))))))) -> 2(2(3(3(0(1(0(3(0(0(0(1(1(3(1(0(2(2(0(3(z0))))))))))))))))))))
   2(c_2(c_3(c_2(c_2(c_2(c_3(c_3(c_0(c_0(c_0(c_1(c_0(c_3(c_0(c_3(c_0(c_1(c_0(c_1(z0)))))))))))))))))))) -> 2(2(2(3(2(1(3(0(3(3(3(0(2(3(3(1(2(0(3(3(z0))))))))))))))))))))
   2(c_3(c_2(c_3(c_1(c_0(c_0(c_1(c_0(c_2(c_0(c_0(c_1(c_3(c_3(c_1(c_0(c_0(c_0(c_0(z0)))))))))))))))))))) -> 1(2(0(3(3(3(0(2(2(0(1(0(0(1(2(2(1(3(3(0(z0))))))))))))))))))))
   2(c_3(c_2(c_3(c_0(c_3(c_0(c_3(c_3(c_3(c_0(c_1(c_1(c_1(c_0(c_3(c_1(c_2(c_1(c_1(z0)))))))))))))))))))) -> 0(3(1(3(1(3(1(3(0(1(0(0(3(3(3(2(0(2(3(2(z0))))))))))))))))))))
   2(c_0(c_2(c_0(c_0(c_3(c_1(c_0(c_0(c_2(c_3(c_3(c_1(c_0(c_3(c_2(c_1(c_0(c_0(c_3(z0)))))))))))))))))))) -> 1(3(0(1(2(0(2(2(3(1(3(3(3(3(3(3(0(3(0(3(z0))))))))))))))))))))
   2(c_2(c_3(c_1(c_1(c_1(c_1(c_3(c_1(c_3(c_1(c_1(c_0(c_0(c_0(c_0(c_3(c_1(c_2(c_3(z0)))))))))))))))))))) -> 3(2(0(0(0(1(3(1(3(3(1(3(0(0(2(3(0(1(1(1(z0))))))))))))))))))))
   2(c_1(c_0(c_1(c_3(c_3(c_1(c_0(c_2(c_3(c_0(c_0(c_0(c_2(c_3(c_1(c_0(c_0(c_3(c_3(z0)))))))))))))))))))) -> 2(0(1(3(2(1(3(1(3(1(1(3(3(1(3(3(0(0(3(3(z0))))))))))))))))))))
   2(c_1(c_1(c_3(c_3(c_1(c_0(c_2(c_2(c_2(c_2(c_2(c_3(c_0(c_1(c_0(c_2(c_2(c_3(c_3(z0)))))))))))))))))))) -> 0(3(0(3(1(3(0(3(3(1(3(3(0(3(1(3(3(0(3(1(z0))))))))))))))))))))
   2(c_2(c_3(c_3(c_2(c_2(c_2(c_2(c_3(c_0(c_2(c_3(c_0(c_2(c_0(c_1(c_1(c_3(c_3(c_1(z0)))))))))))))))))))) -> 2(2(2(0(0(1(0(0(1(3(3(3(3(3(2(1(0(0(0(3(z0))))))))))))))))))))
   2(c_1(c_3(c_3(c_1(c_1(c_3(c_2(c_1(c_3(c_3(c_1(c_1(c_0(c_2(c_2(c_3(c_0(c_0(c_0(z0)))))))))))))))))))) -> 2(0(0(0(1(0(0(3(1(1(1(3(0(0(3(0(1(3(3(2(z0))))))))))))))))))))
   2(c_1(c_1(c_0(c_3(c_0(c_1(c_2(c_3(c_3(c_1(c_1(c_1(c_3(c_0(c_0(c_3(c_1(c_3(c_0(z0)))))))))))))))))))) -> 2(2(0(3(2(0(0(1(2(1(1(3(1(3(3(0(3(3(3(0(z0))))))))))))))))))))
   2(c_0(c_1(c_0(c_1(c_3(c_2(c_3(c_0(c_0(c_2(c_1(c_0(c_2(c_0(c_3(c_1(c_0(c_2(c_3(z0)))))))))))))))))))) -> 3(3(3(0(3(3(2(3(1(3(1(3(3(0(3(3(0(2(1(0(z0))))))))))))))))))))
   2(c_0(c_3(c_1(c_3(c_3(c_3(c_1(c_2(c_3(c_0(c_1(c_2(c_2(c_3(c_2(c_1(c_0(c_3(c_1(z0)))))))))))))))))))) -> 1(0(3(3(1(3(0(1(2(3(0(1(0(3(3(0(3(2(1(1(z0))))))))))))))))))))
   2(c_3(c_0(c_3(c_3(c_2(c_3(c_0(c_1(c_3(c_2(c_2(c_3(c_3(c_0(c_2(c_2(c_0(c_1(c_2(z0)))))))))))))))))))) -> 2(0(1(3(0(2(2(3(2(0(3(3(2(0(3(1(0(3(0(2(z0))))))))))))))))))))
   2(c_3(c_2(c_2(c_0(c_3(c_3(c_1(c_1(c_1(c_3(c_0(c_0(c_1(c_0(c_0(c_2(c_3(c_0(c_3(z0)))))))))))))))))))) -> 2(3(1(1(0(3(2(2(1(3(0(3(3(2(0(0(1(1(3(3(z0))))))))))))))))))))
   2(c_0(c_1(c_0(c_2(c_2(c_0(c_3(c_0(c_2(c_2(c_3(c_3(c_2(c_1(c_3(c_0(c_2(c_3(c_1(z0)))))))))))))))))))) -> 2(3(3(0(3(0(0(2(3(3(1(1(3(3(0(1(2(3(2(0(z0))))))))))))))))))))
   2(c_0(c_0(c_2(c_1(c_2(c_1(c_1(c_3(c_0(c_2(c_3(c_2(c_1(c_3(c_3(c_1(c_3(c_2(c_3(z0)))))))))))))))))))) -> 2(2(3(1(1(0(1(0(1(1(0(1(0(3(3(1(3(3(3(1(z0))))))))))))))))))))
   2(c_1(c_1(c_1(c_0(c_1(c_3(c_1(c_0(c_3(c_2(c_3(c_0(c_0(c_0(c_3(c_1(c_1(c_0(c_3(z0)))))))))))))))))))) -> 1(1(1(0(1(1(2(0(2(1(0(0(3(3(0(2(0(3(0(3(z0))))))))))))))))))))
   2(c_1(c_3(c_1(c_3(c_3(c_1(c_1(c_1(c_1(c_1(c_1(c_0(c_2(c_3(c_2(c_3(c_0(c_0(c_3(z0)))))))))))))))))))) -> 1(3(0(0(2(0(0(2(0(3(2(2(0(1(3(3(3(0(0(3(z0))))))))))))))))))))
   2(c_1(c_0(c_3(c_0(c_2(c_0(c_2(c_1(c_3(c_3(c_3(c_1(c_1(c_1(c_0(c_0(c_3(c_3(c_2(z0)))))))))))))))))))) -> 2(2(1(3(0(0(1(3(0(3(3(0(3(3(1(0(1(1(0(1(z0))))))))))))))))))))
   2(c_3(c_1(c_2(c_0(c_3(c_2(c_0(c_2(c_3(c_3(c_0(c_2(c_0(c_0(c_1(c_0(c_1(c_0(c_3(z0)))))))))))))))))))) -> 0(3(1(3(0(3(3(0(1(0(0(3(2(0(0(0(3(3(2(3(z0))))))))))))))))))))
   2(c_2(c_3(c_2(c_0(c_0(c_3(c_0(c_3(c_3(c_2(c_2(c_2(c_0(c_2(c_3(c_3(c_3(c_3(c_2(z0)))))))))))))))))))) -> 1(0(3(1(2(3(3(2(3(3(3(3(0(1(3(1(0(3(0(3(z0))))))))))))))))))))
   2(c_2(c_3(c_3(c_0(c_2(c_2(c_0(c_1(c_3(c_1(c_3(c_3(c_0(c_3(c_2(c_2(c_2(c_1(c_2(z0)))))))))))))))))))) -> 2(0(0(0(3(0(3(1(3(2(0(0(1(1(3(0(0(3(2(3(z0))))))))))))))))))))
   3(z0) -> c_3(z0)
   3(c_3(c_0(c_2(c_2(c_3(c_3(c_1(c_2(c_2(c_0(c_0(c_3(c_2(c_0(c_2(c_1(c_0(c_3(c_3(z0)))))))))))))))))))) -> 1(0(2(1(1(3(2(1(1(3(0(3(3(1(1(3(1(3(3(3(z0))))))))))))))))))))
   3(c_3(c_1(c_0(c_3(c_1(c_0(c_3(c_1(c_1(c_3(c_3(c_1(c_3(c_0(c_2(c_2(c_3(c_1(c_1(z0)))))))))))))))))))) -> 0(0(3(0(2(1(3(3(0(0(3(2(0(0(3(0(2(2(0(0(z0))))))))))))))))))))
   3(c_3(c_2(c_1(c_3(c_1(c_3(c_0(c_2(c_0(c_3(c_1(c_2(c_1(c_3(c_2(c_1(c_3(c_2(c_3(z0)))))))))))))))))))) -> 2(3(3(2(2(2(0(3(1(2(3(3(3(3(0(1(3(2(0(3(z0))))))))))))))))))))
   3(c_0(c_1(c_0(c_1(c_2(c_3(c_2(c_1(c_1(c_0(c_1(c_1(c_3(c_0(c_3(c_3(c_2(c_1(c_3(z0)))))))))))))))))))) -> 0(3(0(0(2(3(0(2(2(1(0(1(2(0(1(3(1(3(1(3(z0))))))))))))))))))))
   3(c_3(c_0(c_3(c_3(c_0(c_1(c_2(c_1(c_1(c_0(c_3(c_3(c_0(c_2(c_0(c_0(c_2(c_2(c_1(z0)))))))))))))))))))) -> 3(3(3(3(1(3(3(1(1(3(1(2(3(3(3(2(2(0(2(1(z0))))))))))))))))))))
   3(c_0(c_3(c_3(c_3(c_3(c_1(c_3(c_2(c_0(c_1(c_0(c_1(c_0(c_3(c_3(c_0(c_0(c_1(c_1(z0)))))))))))))))))))) -> 3(3(2(3(3(3(2(3(3(0(1(1(0(3(3(3(0(3(3(0(z0))))))))))))))))))))
   3(c_1(c_0(c_1(c_1(c_1(c_3(c_1(c_0(c_0(c_0(c_2(c_1(c_0(c_1(c_2(c_0(c_0(c_0(c_3(z0)))))))))))))))))))) -> 0(3(0(2(2(0(1(0(1(0(0(2(2(3(2(3(0(1(0(3(z0))))))))))))))))))))
   3(c_3(c_0(c_2(c_3(c_3(c_0(c_1(c_3(c_0(c_0(c_1(c_2(c_2(c_2(c_2(c_3(c_3(c_2(c_1(z0)))))))))))))))))))) -> 3(1(3(3(1(0(3(0(3(0(2(3(3(1(0(1(0(3(1(0(z0))))))))))))))))))))
   3(c_1(c_2(c_3(c_2(c_2(c_2(c_3(c_3(c_0(c_1(c_3(c_0(c_1(c_1(c_1(c_0(c_0(c_0(c_3(z0)))))))))))))))))))) -> 1(2(1(3(1(3(3(3(3(2(1(1(2(3(0(0(3(3(0(0(z0))))))))))))))))))))
   3(c_1(c_1(c_3(c_2(c_3(c_3(c_3(c_1(c_0(c_1(c_2(c_0(c_3(c_0(c_0(c_0(c_1(c_2(c_3(z0)))))))))))))))))))) -> 3(3(3(0(3(3(1(0(2(3(0(0(2(2(3(3(0(3(2(0(z0))))))))))))))))))))
   3(c_0(c_2(c_1(c_2(c_1(c_3(c_1(c_3(c_0(c_3(c_1(c_3(c_0(c_2(c_0(c_2(c_0(c_3(c_2(z0)))))))))))))))))))) -> 2(2(3(1(3(1(3(3(1(3(3(0(0(2(1(2(3(3(3(2(z0))))))))))))))))))))
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   3(c_0(c_0(c_1(c_1(c_1(c_3(c_3(c_3(c_0(c_2(c_2(c_1(c_3(c_1(c_2(c_3(c_1(c_1(c_0(z0)))))))))))))))))))) -> 1(3(0(2(1(3(3(2(0(2(3(1(3(0(3(0(0(2(1(0(z0))))))))))))))))))))
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   3(c_3(c_1(c_0(c_1(c_3(c_0(c_0(c_3(c_1(c_2(c_1(c_0(c_0(c_3(c_0(c_1(c_0(c_3(c_1(z0)))))))))))))))))))) -> 1(3(3(3(3(2(3(2(2(0(3(1(0(0(1(3(0(3(3(1(z0))))))))))))))))))))
   3(c_3(c_3(c_3(c_1(c_1(c_3(c_2(c_3(c_0(c_3(c_3(c_0(c_3(c_2(c_1(c_0(c_0(c_2(c_2(z0)))))))))))))))))))) -> 3(3(0(3(0(0(3(3(3(1(3(1(1(0(3(0(2(0(1(2(z0))))))))))))))))))))
   3(c_2(c_3(c_0(c_1(c_3(c_2(c_2(c_0(c_1(c_1(c_3(c_3(c_3(c_1(c_2(c_3(c_1(c_1(c_0(z0)))))))))))))))))))) -> 0(0(0(0(3(2(3(1(1(1(0(1(0(0(3(3(0(2(3(1(z0))))))))))))))))))))
   3(c_0(c_3(c_2(c_2(c_2(c_3(c_1(c_3(c_0(c_2(c_1(c_0(c_1(c_0(c_2(c_2(c_3(c_3(c_1(z0)))))))))))))))))))) -> 2(3(0(0(3(1(2(0(3(3(0(0(0(3(3(3(1(0(2(2(z0))))))))))))))))))))
   3(c_2(c_0(c_3(c_3(c_1(c_3(c_2(c_3(c_0(c_3(c_2(c_3(c_1(c_3(c_0(c_2(c_1(c_3(c_0(z0)))))))))))))))))))) -> 3(3(3(0(2(3(3(0(2(0(3(3(3(3(1(0(0(1(3(0(z0))))))))))))))))))))
Tuples:
   ENCARG(cons_1(z0)) -> c1(1'(encArg(z0)), ENCARG(z0))
   ENCARG(cons_2(z0)) -> c2(2'(encArg(z0)), ENCARG(z0))
   ENCARG(cons_3(z0)) -> c3(3'(encArg(z0)), ENCARG(z0))
   0'(c_1(c_1(c_1(c_0(c_0(c_0(c_0(c_0(c_0(c_3(c_0(c_1(c_0(c_1(c_0(c_2(c_0(c_3(c_1(z0)))))))))))))))))))) -> c9(1'(0(2(1(3(0(1(0(2(3(0(0(3(3(0(1(0(0(1(0(z0)))))))))))))))))))), 0'(2(1(3(0(1(0(2(3(0(0(3(3(0(1(0(0(1(0(z0))))))))))))))))))), 2'(1(3(0(1(0(2(3(0(0(3(3(0(1(0(0(1(0(z0)))))))))))))))))), 1'(3(0(1(0(2(3(0(0(3(3(0(1(0(0(1(0(z0))))))))))))))))), 3'(0(1(0(2(3(0(0(3(3(0(1(0(0(1(0(z0)))))))))))))))), 0'(1(0(2(3(0(0(3(3(0(1(0(0(1(0(z0))))))))))))))), 1'(0(2(3(0(0(3(3(0(1(0(0(1(0(z0)))))))))))))), 0'(2(3(0(0(3(3(0(1(0(0(1(0(z0))))))))))))), 2'(3(0(0(3(3(0(1(0(0(1(0(z0)))))))))))), 3'(0(0(3(3(0(1(0(0(1(0(z0))))))))))), 0'(0(3(3(0(1(0(0(1(0(z0)))))))))), 0'(3(3(0(1(0(0(1(0(z0))))))))), 3'(3(0(1(0(0(1(0(z0)))))))), 3'(0(1(0(0(1(0(z0))))))), 0'(1(0(0(1(0(z0)))))), 1'(0(0(1(0(z0))))), 0'(0(1(0(z0)))), 0'(1(0(z0))), 1'(0(z0)), 0'(z0))
   0'(c_0(c_1(c_2(c_3(c_0(c_1(c_0(c_3(c_0(c_3(c_1(c_1(c_1(c_0(c_1(c_3(c_3(c_2(c_3(z0)))))))))))))))))))) -> c10(3'(0(3(1(1(0(2(3(0(3(3(1(3(1(0(3(0(1(2(3(z0)))))))))))))))))))), 0'(3(1(1(0(2(3(0(3(3(1(3(1(0(3(0(1(2(3(z0))))))))))))))))))), 3'(1(1(0(2(3(0(3(3(1(3(1(0(3(0(1(2(3(z0)))))))))))))))))), 1'(1(0(2(3(0(3(3(1(3(1(0(3(0(1(2(3(z0))))))))))))))))), 1'(0(2(3(0(3(3(1(3(1(0(3(0(1(2(3(z0)))))))))))))))), 0'(2(3(0(3(3(1(3(1(0(3(0(1(2(3(z0))))))))))))))), 2'(3(0(3(3(1(3(1(0(3(0(1(2(3(z0)))))))))))))), 3'(0(3(3(1(3(1(0(3(0(1(2(3(z0))))))))))))), 0'(3(3(1(3(1(0(3(0(1(2(3(z0)))))))))))), 3'(3(1(3(1(0(3(0(1(2(3(z0))))))))))), 3'(1(3(1(0(3(0(1(2(3(z0)))))))))), 1'(3(1(0(3(0(1(2(3(z0))))))))), 3'(1(0(3(0(1(2(3(z0)))))))), 1'(0(3(0(1(2(3(z0))))))), 0'(3(0(1(2(3(z0)))))), 3'(0(1(2(3(z0))))), 0'(1(2(3(z0)))), 1'(2(3(z0))), 2'(3(z0)), 3'(z0))
   0'(c_2(c_0(c_3(c_1(c_1(c_3(c_2(c_3(c_3(c_0(c_2(c_2(c_0(c_2(c_3(c_0(c_0(c_2(c_3(z0)))))))))))))))))))) -> c11(0'(0(3(3(2(3(3(3(0(1(1(1(2(2(3(1(3(1(1(3(z0)))))))))))))))))))), 0'(3(3(2(3(3(3(0(1(1(1(2(2(3(1(3(1(1(3(z0))))))))))))))))))), 3'(3(2(3(3(3(0(1(1(1(2(2(3(1(3(1(1(3(z0)))))))))))))))))), 3'(2(3(3(3(0(1(1(1(2(2(3(1(3(1(1(3(z0))))))))))))))))), 2'(3(3(3(0(1(1(1(2(2(3(1(3(1(1(3(z0)))))))))))))))), 3'(3(3(0(1(1(1(2(2(3(1(3(1(1(3(z0))))))))))))))), 3'(3(0(1(1(1(2(2(3(1(3(1(1(3(z0)))))))))))))), 3'(0(1(1(1(2(2(3(1(3(1(1(3(z0))))))))))))), 0'(1(1(1(2(2(3(1(3(1(1(3(z0)))))))))))), 1'(1(1(2(2(3(1(3(1(1(3(z0))))))))))), 1'(1(2(2(3(1(3(1(1(3(z0)))))))))), 1'(2(2(3(1(3(1(1(3(z0))))))))), 2'(2(3(1(3(1(1(3(z0)))))))), 2'(3(1(3(1(1(3(z0))))))), 3'(1(3(1(1(3(z0)))))), 1'(3(1(1(3(z0))))), 3'(1(1(3(z0)))), 1'(1(3(z0))), 1'(3(z0)), 3'(z0))
   0'(c_0(c_1(c_1(c_0(c_1(c_0(c_2(c_3(c_1(c_3(c_3(c_3(c_1(c_2(c_2(c_0(c_0(c_2(c_3(z0)))))))))))))))))))) -> c12(0'(0(3(0(2(1(3(3(1(3(2(3(3(3(2(0(0(1(0(2(z0)))))))))))))))))))), 0'(3(0(2(1(3(3(1(3(2(3(3(3(2(0(0(1(0(2(z0))))))))))))))))))), 3'(0(2(1(3(3(1(3(2(3(3(3(2(0(0(1(0(2(z0)))))))))))))))))), 0'(2(1(3(3(1(3(2(3(3(3(2(0(0(1(0(2(z0))))))))))))))))), 2'(1(3(3(1(3(2(3(3(3(2(0(0(1(0(2(z0)))))))))))))))), 1'(3(3(1(3(2(3(3(3(2(0(0(1(0(2(z0))))))))))))))), 3'(3(1(3(2(3(3(3(2(0(0(1(0(2(z0)))))))))))))), 3'(1(3(2(3(3(3(2(0(0(1(0(2(z0))))))))))))), 1'(3(2(3(3(3(2(0(0(1(0(2(z0)))))))))))), 3'(2(3(3(3(2(0(0(1(0(2(z0))))))))))), 2'(3(3(3(2(0(0(1(0(2(z0)))))))))), 3'(3(3(2(0(0(1(0(2(z0))))))))), 3'(3(2(0(0(1(0(2(z0)))))))), 3'(2(0(0(1(0(2(z0))))))), 2'(0(0(1(0(2(z0)))))), 0'(0(1(0(2(z0))))), 0'(1(0(2(z0)))), 1'(0(2(z0))), 0'(2(z0)), 2'(z0))
   0'(c_1(c_0(c_1(c_1(c_3(c_3(c_0(c_0(c_1(c_3(c_1(c_3(c_0(c_2(c_3(c_0(c_3(c_2(c_3(z0)))))))))))))))))))) -> c13(1'(2(3(3(0(1(3(3(0(1(0(3(3(3(0(2(0(2(1(3(z0)))))))))))))))))))), 2'(3(3(0(1(3(3(0(1(0(3(3(3(0(2(0(2(1(3(z0))))))))))))))))))), 3'(3(0(1(3(3(0(1(0(3(3(3(0(2(0(2(1(3(z0)))))))))))))))))), 3'(0(1(3(3(0(1(0(3(3(3(0(2(0(2(1(3(z0))))))))))))))))), 0'(1(3(3(0(1(0(3(3(3(0(2(0(2(1(3(z0)))))))))))))))), 1'(3(3(0(1(0(3(3(3(0(2(0(2(1(3(z0))))))))))))))), 3'(3(0(1(0(3(3(3(0(2(0(2(1(3(z0)))))))))))))), 3'(0(1(0(3(3(3(0(2(0(2(1(3(z0))))))))))))), 0'(1(0(3(3(3(0(2(0(2(1(3(z0)))))))))))), 1'(0(3(3(3(0(2(0(2(1(3(z0))))))))))), 0'(3(3(3(0(2(0(2(1(3(z0)))))))))), 3'(3(3(0(2(0(2(1(3(z0))))))))), 3'(3(0(2(0(2(1(3(z0)))))))), 3'(0(2(0(2(1(3(z0))))))), 0'(2(0(2(1(3(z0)))))), 2'(0(2(1(3(z0))))), 0'(2(1(3(z0)))), 2'(1(3(z0))), 1'(3(z0)), 3'(z0))
   0'(c_3(c_0(c_2(c_0(c_1(c_3(c_0(c_1(c_2(c_3(c_2(c_1(c_1(c_0(c_0(c_3(c_3(c_2(c_3(z0)))))))))))))))))))) -> c14(0'(3(3(2(2(3(2(3(2(0(0(2(3(3(3(3(3(0(1(0(z0)))))))))))))))))))), 3'(3(2(2(3(2(3(2(0(0(2(3(3(3(3(3(0(1(0(z0))))))))))))))))))), 3'(2(2(3(2(3(2(0(0(2(3(3(3(3(3(0(1(0(z0)))))))))))))))))), 2'(2(3(2(3(2(0(0(2(3(3(3(3(3(0(1(0(z0))))))))))))))))), 2'(3(2(3(2(0(0(2(3(3(3(3(3(0(1(0(z0)))))))))))))))), 3'(2(3(2(0(0(2(3(3(3(3(3(0(1(0(z0))))))))))))))), 2'(3(2(0(0(2(3(3(3(3(3(0(1(0(z0)))))))))))))), 3'(2(0(0(2(3(3(3(3(3(0(1(0(z0))))))))))))), 2'(0(0(2(3(3(3(3(3(0(1(0(z0)))))))))))), 0'(0(2(3(3(3(3(3(0(1(0(z0))))))))))), 0'(2(3(3(3(3(3(0(1(0(z0)))))))))), 2'(3(3(3(3(3(0(1(0(z0))))))))), 3'(3(3(3(3(0(1(0(z0)))))))), 3'(3(3(3(0(1(0(z0))))))), 3'(3(3(0(1(0(z0)))))), 3'(3(0(1(0(z0))))), 3'(0(1(0(z0)))), 0'(1(0(z0))), 1'(0(z0)), 0'(z0))
   0'(c_3(c_2(c_2(c_2(c_3(c_2(c_2(c_3(c_1(c_3(c_0(c_3(c_2(c_3(c_0(c_3(c_3(c_1(c_3(z0)))))))))))))))))))) -> c15(3'(0(3(3(3(3(3(2(3(3(3(1(0(0(3(2(0(2(2(1(z0)))))))))))))))))))), 0'(3(3(3(3(3(2(3(3(3(1(0(0(3(2(0(2(2(1(z0))))))))))))))))))), 3'(3(3(3(3(2(3(3(3(1(0(0(3(2(0(2(2(1(z0)))))))))))))))))), 3'(3(3(3(2(3(3(3(1(0(0(3(2(0(2(2(1(z0))))))))))))))))), 3'(3(3(2(3(3(3(1(0(0(3(2(0(2(2(1(z0)))))))))))))))), 3'(3(2(3(3(3(1(0(0(3(2(0(2(2(1(z0))))))))))))))), 3'(2(3(3(3(1(0(0(3(2(0(2(2(1(z0)))))))))))))), 2'(3(3(3(1(0(0(3(2(0(2(2(1(z0))))))))))))), 3'(3(3(1(0(0(3(2(0(2(2(1(z0)))))))))))), 3'(3(1(0(0(3(2(0(2(2(1(z0))))))))))), 3'(1(0(0(3(2(0(2(2(1(z0)))))))))), 1'(0(0(3(2(0(2(2(1(z0))))))))), 0'(0(3(2(0(2(2(1(z0)))))))), 0'(3(2(0(2(2(1(z0))))))), 3'(2(0(2(2(1(z0)))))), 2'(0(2(2(1(z0))))), 0'(2(2(1(z0)))), 2'(2(1(z0))), 2'(1(z0)), 1'(z0))
   0'(c_0(c_3(c_1(c_0(c_2(c_0(c_3(c_1(c_0(c_0(c_3(c_0(c_0(c_0(c_3(c_2(c_0(c_2(c_3(z0)))))))))))))))))))) -> c16(0'(0(1(0(2(1(3(0(1(0(0(3(1(0(3(3(2(2(3(3(z0)))))))))))))))))))), 0'(1(0(2(1(3(0(1(0(0(3(1(0(3(3(2(2(3(3(z0))))))))))))))))))), 1'(0(2(1(3(0(1(0(0(3(1(0(3(3(2(2(3(3(z0)))))))))))))))))), 0'(2(1(3(0(1(0(0(3(1(0(3(3(2(2(3(3(z0))))))))))))))))), 2'(1(3(0(1(0(0(3(1(0(3(3(2(2(3(3(z0)))))))))))))))), 1'(3(0(1(0(0(3(1(0(3(3(2(2(3(3(z0))))))))))))))), 3'(0(1(0(0(3(1(0(3(3(2(2(3(3(z0)))))))))))))), 0'(1(0(0(3(1(0(3(3(2(2(3(3(z0))))))))))))), 1'(0(0(3(1(0(3(3(2(2(3(3(z0)))))))))))), 0'(0(3(1(0(3(3(2(2(3(3(z0))))))))))), 0'(3(1(0(3(3(2(2(3(3(z0)))))))))), 3'(1(0(3(3(2(2(3(3(z0))))))))), 1'(0(3(3(2(2(3(3(z0)))))))), 0'(3(3(2(2(3(3(z0))))))), 3'(3(2(2(3(3(z0)))))), 3'(2(2(3(3(z0))))), 2'(2(3(3(z0)))), 2'(3(3(z0))), 3'(3(z0)), 3'(z0))
   0'(c_0(c_0(c_1(c_1(c_0(c_3(c_3(c_3(c_3(c_0(c_1(c_0(c_2(c_2(c_1(c_3(c_2(c_0(c_0(z0)))))))))))))))))))) -> c17(0'(0(1(3(3(0(1(3(3(0(1(2(3(2(2(0(3(2(3(3(z0)))))))))))))))))))), 0'(1(3(3(0(1(3(3(0(1(2(3(2(2(0(3(2(3(3(z0))))))))))))))))))), 1'(3(3(0(1(3(3(0(1(2(3(2(2(0(3(2(3(3(z0)))))))))))))))))), 3'(3(0(1(3(3(0(1(2(3(2(2(0(3(2(3(3(z0))))))))))))))))), 3'(0(1(3(3(0(1(2(3(2(2(0(3(2(3(3(z0)))))))))))))))), 0'(1(3(3(0(1(2(3(2(2(0(3(2(3(3(z0))))))))))))))), 1'(3(3(0(1(2(3(2(2(0(3(2(3(3(z0)))))))))))))), 3'(3(0(1(2(3(2(2(0(3(2(3(3(z0))))))))))))), 3'(0(1(2(3(2(2(0(3(2(3(3(z0)))))))))))), 0'(1(2(3(2(2(0(3(2(3(3(z0))))))))))), 1'(2(3(2(2(0(3(2(3(3(z0)))))))))), 2'(3(2(2(0(3(2(3(3(z0))))))))), 3'(2(2(0(3(2(3(3(z0)))))))), 2'(2(0(3(2(3(3(z0))))))), 2'(0(3(2(3(3(z0)))))), 0'(3(2(3(3(z0))))), 3'(2(3(3(z0)))), 2'(3(3(z0))), 3'(3(z0)), 3'(z0))
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   3'(c_0(c_2(c_1(c_2(c_1(c_3(c_1(c_3(c_0(c_3(c_1(c_3(c_0(c_2(c_0(c_2(c_0(c_3(c_2(z0)))))))))))))))))))) -> c100(2'(2(3(1(3(1(3(3(1(3(3(0(0(2(1(2(3(3(3(2(z0)))))))))))))))))))), 2'(3(1(3(1(3(3(1(3(3(0(0(2(1(2(3(3(3(2(z0))))))))))))))))))), 3'(1(3(1(3(3(1(3(3(0(0(2(1(2(3(3(3(2(z0)))))))))))))))))), 1'(3(1(3(3(1(3(3(0(0(2(1(2(3(3(3(2(z0))))))))))))))))), 3'(1(3(3(1(3(3(0(0(2(1(2(3(3(3(2(z0)))))))))))))))), 1'(3(3(1(3(3(0(0(2(1(2(3(3(3(2(z0))))))))))))))), 3'(3(1(3(3(0(0(2(1(2(3(3(3(2(z0)))))))))))))), 3'(1(3(3(0(0(2(1(2(3(3(3(2(z0))))))))))))), 1'(3(3(0(0(2(1(2(3(3(3(2(z0)))))))))))), 3'(3(0(0(2(1(2(3(3(3(2(z0))))))))))), 3'(0(0(2(1(2(3(3(3(2(z0)))))))))), 0'(0(2(1(2(3(3(3(2(z0))))))))), 0'(2(1(2(3(3(3(2(z0)))))))), 2'(1(2(3(3(3(2(z0))))))), 1'(2(3(3(3(2(z0)))))), 2'(3(3(3(2(z0))))), 3'(3(3(2(z0)))), 3'(3(2(z0))), 3'(2(z0)), 2'(z0))
   3'(c_0(c_2(c_2(c_1(c_1(c_0(c_1(c_1(c_1(c_3(c_0(c_3(c_1(c_3(c_2(c_1(c_3(c_3(c_0(z0)))))))))))))))))))) -> c101(0'(0(0(0(1(3(3(1(1(3(1(3(0(1(0(3(3(1(1(3(z0)))))))))))))))))))), 0'(0(0(1(3(3(1(1(3(1(3(0(1(0(3(3(1(1(3(z0))))))))))))))))))), 0'(0(1(3(3(1(1(3(1(3(0(1(0(3(3(1(1(3(z0)))))))))))))))))), 0'(1(3(3(1(1(3(1(3(0(1(0(3(3(1(1(3(z0))))))))))))))))), 1'(3(3(1(1(3(1(3(0(1(0(3(3(1(1(3(z0)))))))))))))))), 3'(3(1(1(3(1(3(0(1(0(3(3(1(1(3(z0))))))))))))))), 3'(1(1(3(1(3(0(1(0(3(3(1(1(3(z0)))))))))))))), 1'(1(3(1(3(0(1(0(3(3(1(1(3(z0))))))))))))), 1'(3(1(3(0(1(0(3(3(1(1(3(z0)))))))))))), 3'(1(3(0(1(0(3(3(1(1(3(z0))))))))))), 1'(3(0(1(0(3(3(1(1(3(z0)))))))))), 3'(0(1(0(3(3(1(1(3(z0))))))))), 0'(1(0(3(3(1(1(3(z0)))))))), 1'(0(3(3(1(1(3(z0))))))), 0'(3(3(1(1(3(z0)))))), 3'(3(1(1(3(z0))))), 3'(1(1(3(z0)))), 1'(1(3(z0))), 1'(3(z0)), 3'(z0))
   3'(c_1(c_3(c_0(c_2(c_1(c_1(c_2(c_0(c_3(c_2(c_2(c_1(c_3(c_1(c_1(c_2(c_2(c_3(c_3(z0)))))))))))))))))))) -> c102(1'(0(0(1(3(0(1(1(2(0(3(3(3(3(0(0(3(0(3(2(z0)))))))))))))))))))), 0'(0(1(3(0(1(1(2(0(3(3(3(3(0(0(3(0(3(2(z0))))))))))))))))))), 0'(1(3(0(1(1(2(0(3(3(3(3(0(0(3(0(3(2(z0)))))))))))))))))), 1'(3(0(1(1(2(0(3(3(3(3(0(0(3(0(3(2(z0))))))))))))))))), 3'(0(1(1(2(0(3(3(3(3(0(0(3(0(3(2(z0)))))))))))))))), 0'(1(1(2(0(3(3(3(3(0(0(3(0(3(2(z0))))))))))))))), 1'(1(2(0(3(3(3(3(0(0(3(0(3(2(z0)))))))))))))), 1'(2(0(3(3(3(3(0(0(3(0(3(2(z0))))))))))))), 2'(0(3(3(3(3(0(0(3(0(3(2(z0)))))))))))), 0'(3(3(3(3(0(0(3(0(3(2(z0))))))))))), 3'(3(3(3(0(0(3(0(3(2(z0)))))))))), 3'(3(3(0(0(3(0(3(2(z0))))))))), 3'(3(0(0(3(0(3(2(z0)))))))), 3'(0(0(3(0(3(2(z0))))))), 0'(0(3(0(3(2(z0)))))), 0'(3(0(3(2(z0))))), 3'(0(3(2(z0)))), 0'(3(2(z0))), 3'(2(z0)), 2'(z0))
   3'(c_0(c_2(c_0(c_2(c_0(c_1(c_1(c_3(c_0(c_0(c_3(c_0(c_0(c_2(c_0(c_0(c_3(c_2(c_3(z0)))))))))))))))))))) -> c103(0'(3(2(2(0(3(3(3(1(1(0(0(3(0(2(2(1(1(3(3(z0)))))))))))))))))))), 3'(2(2(0(3(3(3(1(1(0(0(3(0(2(2(1(1(3(3(z0))))))))))))))))))), 2'(2(0(3(3(3(1(1(0(0(3(0(2(2(1(1(3(3(z0)))))))))))))))))), 2'(0(3(3(3(1(1(0(0(3(0(2(2(1(1(3(3(z0))))))))))))))))), 0'(3(3(3(1(1(0(0(3(0(2(2(1(1(3(3(z0)))))))))))))))), 3'(3(3(1(1(0(0(3(0(2(2(1(1(3(3(z0))))))))))))))), 3'(3(1(1(0(0(3(0(2(2(1(1(3(3(z0)))))))))))))), 3'(1(1(0(0(3(0(2(2(1(1(3(3(z0))))))))))))), 1'(1(0(0(3(0(2(2(1(1(3(3(z0)))))))))))), 1'(0(0(3(0(2(2(1(1(3(3(z0))))))))))), 0'(0(3(0(2(2(1(1(3(3(z0)))))))))), 0'(3(0(2(2(1(1(3(3(z0))))))))), 3'(0(2(2(1(1(3(3(z0)))))))), 0'(2(2(1(1(3(3(z0))))))), 2'(2(1(1(3(3(z0)))))), 2'(1(1(3(3(z0))))), 1'(1(3(3(z0)))), 1'(3(3(z0))), 3'(3(z0)), 3'(z0))
   3'(c_0(c_0(c_1(c_1(c_1(c_3(c_3(c_3(c_0(c_2(c_2(c_1(c_3(c_1(c_2(c_3(c_1(c_1(c_0(z0)))))))))))))))))))) -> c104(1'(3(0(2(1(3(3(2(0(2(3(1(3(0(3(0(0(2(1(0(z0)))))))))))))))))))), 3'(0(2(1(3(3(2(0(2(3(1(3(0(3(0(0(2(1(0(z0))))))))))))))))))), 0'(2(1(3(3(2(0(2(3(1(3(0(3(0(0(2(1(0(z0)))))))))))))))))), 2'(1(3(3(2(0(2(3(1(3(0(3(0(0(2(1(0(z0))))))))))))))))), 1'(3(3(2(0(2(3(1(3(0(3(0(0(2(1(0(z0)))))))))))))))), 3'(3(2(0(2(3(1(3(0(3(0(0(2(1(0(z0))))))))))))))), 3'(2(0(2(3(1(3(0(3(0(0(2(1(0(z0)))))))))))))), 2'(0(2(3(1(3(0(3(0(0(2(1(0(z0))))))))))))), 0'(2(3(1(3(0(3(0(0(2(1(0(z0)))))))))))), 2'(3(1(3(0(3(0(0(2(1(0(z0))))))))))), 3'(1(3(0(3(0(0(2(1(0(z0)))))))))), 1'(3(0(3(0(0(2(1(0(z0))))))))), 3'(0(3(0(0(2(1(0(z0)))))))), 0'(3(0(0(2(1(0(z0))))))), 3'(0(0(2(1(0(z0)))))), 0'(0(2(1(0(z0))))), 0'(2(1(0(z0)))), 2'(1(0(z0))), 1'(0(z0)), 0'(z0))
   3'(c_0(c_3(c_2(c_1(c_3(c_0(c_3(c_3(c_0(c_3(c_3(c_0(c_3(c_0(c_3(c_1(c_0(c_0(c_1(z0)))))))))))))))))))) -> c105(3'(3(3(3(2(3(0(1(0(0(0(3(3(1(3(3(3(1(1(2(z0)))))))))))))))))))), 3'(3(3(2(3(0(1(0(0(0(3(3(1(3(3(3(1(1(2(z0))))))))))))))))))), 3'(3(2(3(0(1(0(0(0(3(3(1(3(3(3(1(1(2(z0)))))))))))))))))), 3'(2(3(0(1(0(0(0(3(3(1(3(3(3(1(1(2(z0))))))))))))))))), 2'(3(0(1(0(0(0(3(3(1(3(3(3(1(1(2(z0)))))))))))))))), 3'(0(1(0(0(0(3(3(1(3(3(3(1(1(2(z0))))))))))))))), 0'(1(0(0(0(3(3(1(3(3(3(1(1(2(z0)))))))))))))), 1'(0(0(0(3(3(1(3(3(3(1(1(2(z0))))))))))))), 0'(0(0(3(3(1(3(3(3(1(1(2(z0)))))))))))), 0'(0(3(3(1(3(3(3(1(1(2(z0))))))))))), 0'(3(3(1(3(3(3(1(1(2(z0)))))))))), 3'(3(1(3(3(3(1(1(2(z0))))))))), 3'(1(3(3(3(1(1(2(z0)))))))), 1'(3(3(3(1(1(2(z0))))))), 3'(3(3(1(1(2(z0)))))), 3'(3(1(1(2(z0))))), 3'(1(1(2(z0)))), 1'(1(2(z0))), 1'(2(z0)), 2'(z0))
   3'(c_3(c_1(c_0(c_1(c_3(c_0(c_0(c_3(c_1(c_2(c_1(c_0(c_0(c_3(c_0(c_1(c_0(c_3(c_1(z0)))))))))))))))))))) -> c106(1'(3(3(3(3(2(3(2(2(0(3(1(0(0(1(3(0(3(3(1(z0)))))))))))))))))))), 3'(3(3(3(2(3(2(2(0(3(1(0(0(1(3(0(3(3(1(z0))))))))))))))))))), 3'(3(3(2(3(2(2(0(3(1(0(0(1(3(0(3(3(1(z0)))))))))))))))))), 3'(3(2(3(2(2(0(3(1(0(0(1(3(0(3(3(1(z0))))))))))))))))), 3'(2(3(2(2(0(3(1(0(0(1(3(0(3(3(1(z0)))))))))))))))), 2'(3(2(2(0(3(1(0(0(1(3(0(3(3(1(z0))))))))))))))), 3'(2(2(0(3(1(0(0(1(3(0(3(3(1(z0)))))))))))))), 2'(2(0(3(1(0(0(1(3(0(3(3(1(z0))))))))))))), 2'(0(3(1(0(0(1(3(0(3(3(1(z0)))))))))))), 0'(3(1(0(0(1(3(0(3(3(1(z0))))))))))), 3'(1(0(0(1(3(0(3(3(1(z0)))))))))), 1'(0(0(1(3(0(3(3(1(z0))))))))), 0'(0(1(3(0(3(3(1(z0)))))))), 0'(1(3(0(3(3(1(z0))))))), 1'(3(0(3(3(1(z0)))))), 3'(0(3(3(1(z0))))), 0'(3(3(1(z0)))), 3'(3(1(z0))), 3'(1(z0)), 1'(z0))
   3'(c_3(c_3(c_3(c_1(c_1(c_3(c_2(c_3(c_0(c_3(c_3(c_0(c_3(c_2(c_1(c_0(c_0(c_2(c_2(z0)))))))))))))))))))) -> c107(3'(3(0(3(0(0(3(3(3(1(3(1(1(0(3(0(2(0(1(2(z0)))))))))))))))))))), 3'(0(3(0(0(3(3(3(1(3(1(1(0(3(0(2(0(1(2(z0))))))))))))))))))), 0'(3(0(0(3(3(3(1(3(1(1(0(3(0(2(0(1(2(z0)))))))))))))))))), 3'(0(0(3(3(3(1(3(1(1(0(3(0(2(0(1(2(z0))))))))))))))))), 0'(0(3(3(3(1(3(1(1(0(3(0(2(0(1(2(z0)))))))))))))))), 0'(3(3(3(1(3(1(1(0(3(0(2(0(1(2(z0))))))))))))))), 3'(3(3(1(3(1(1(0(3(0(2(0(1(2(z0)))))))))))))), 3'(3(1(3(1(1(0(3(0(2(0(1(2(z0))))))))))))), 3'(1(3(1(1(0(3(0(2(0(1(2(z0)))))))))))), 1'(3(1(1(0(3(0(2(0(1(2(z0))))))))))), 3'(1(1(0(3(0(2(0(1(2(z0)))))))))), 1'(1(0(3(0(2(0(1(2(z0))))))))), 1'(0(3(0(2(0(1(2(z0)))))))), 0'(3(0(2(0(1(2(z0))))))), 3'(0(2(0(1(2(z0)))))), 0'(2(0(1(2(z0))))), 2'(0(1(2(z0)))), 0'(1(2(z0))), 1'(2(z0)), 2'(z0))
   3'(c_2(c_3(c_0(c_1(c_3(c_2(c_2(c_0(c_1(c_1(c_3(c_3(c_3(c_1(c_2(c_3(c_1(c_1(c_0(z0)))))))))))))))))))) -> c108(0'(0(0(0(3(2(3(1(1(1(0(1(0(0(3(3(0(2(3(1(z0)))))))))))))))))))), 0'(0(0(3(2(3(1(1(1(0(1(0(0(3(3(0(2(3(1(z0))))))))))))))))))), 0'(0(3(2(3(1(1(1(0(1(0(0(3(3(0(2(3(1(z0)))))))))))))))))), 0'(3(2(3(1(1(1(0(1(0(0(3(3(0(2(3(1(z0))))))))))))))))), 3'(2(3(1(1(1(0(1(0(0(3(3(0(2(3(1(z0)))))))))))))))), 2'(3(1(1(1(0(1(0(0(3(3(0(2(3(1(z0))))))))))))))), 3'(1(1(1(0(1(0(0(3(3(0(2(3(1(z0)))))))))))))), 1'(1(1(0(1(0(0(3(3(0(2(3(1(z0))))))))))))), 1'(1(0(1(0(0(3(3(0(2(3(1(z0)))))))))))), 1'(0(1(0(0(3(3(0(2(3(1(z0))))))))))), 0'(1(0(0(3(3(0(2(3(1(z0)))))))))), 1'(0(0(3(3(0(2(3(1(z0))))))))), 0'(0(3(3(0(2(3(1(z0)))))))), 0'(3(3(0(2(3(1(z0))))))), 3'(3(0(2(3(1(z0)))))), 3'(0(2(3(1(z0))))), 0'(2(3(1(z0)))), 2'(3(1(z0))), 3'(1(z0)), 1'(z0))
   3'(c_0(c_3(c_2(c_2(c_2(c_3(c_1(c_3(c_0(c_2(c_1(c_0(c_1(c_0(c_2(c_2(c_3(c_3(c_1(z0)))))))))))))))))))) -> c109(2'(3(0(0(3(1(2(0(3(3(0(0(0(3(3(3(1(0(2(2(z0)))))))))))))))))))), 3'(0(0(3(1(2(0(3(3(0(0(0(3(3(3(1(0(2(2(z0))))))))))))))))))), 0'(0(3(1(2(0(3(3(0(0(0(3(3(3(1(0(2(2(z0)))))))))))))))))), 0'(3(1(2(0(3(3(0(0(0(3(3(3(1(0(2(2(z0))))))))))))))))), 3'(1(2(0(3(3(0(0(0(3(3(3(1(0(2(2(z0)))))))))))))))), 1'(2(0(3(3(0(0(0(3(3(3(1(0(2(2(z0))))))))))))))), 2'(0(3(3(0(0(0(3(3(3(1(0(2(2(z0)))))))))))))), 0'(3(3(0(0(0(3(3(3(1(0(2(2(z0))))))))))))), 3'(3(0(0(0(3(3(3(1(0(2(2(z0)))))))))))), 3'(0(0(0(3(3(3(1(0(2(2(z0))))))))))), 0'(0(0(3(3(3(1(0(2(2(z0)))))))))), 0'(0(3(3(3(1(0(2(2(z0))))))))), 0'(3(3(3(1(0(2(2(z0)))))))), 3'(3(3(1(0(2(2(z0))))))), 3'(3(1(0(2(2(z0)))))), 3'(1(0(2(2(z0))))), 1'(0(2(2(z0)))), 0'(2(2(z0))), 2'(2(z0)), 2'(z0))
   3'(c_2(c_0(c_3(c_3(c_1(c_3(c_2(c_3(c_0(c_3(c_2(c_3(c_1(c_3(c_0(c_2(c_1(c_3(c_0(z0)))))))))))))))))))) -> c110(3'(3(3(0(2(3(3(0(2(0(3(3(3(3(1(0(0(1(3(0(z0)))))))))))))))))))), 3'(3(0(2(3(3(0(2(0(3(3(3(3(1(0(0(1(3(0(z0))))))))))))))))))), 3'(0(2(3(3(0(2(0(3(3(3(3(1(0(0(1(3(0(z0)))))))))))))))))), 0'(2(3(3(0(2(0(3(3(3(3(1(0(0(1(3(0(z0))))))))))))))))), 2'(3(3(0(2(0(3(3(3(3(1(0(0(1(3(0(z0)))))))))))))))), 3'(3(0(2(0(3(3(3(3(1(0(0(1(3(0(z0))))))))))))))), 3'(0(2(0(3(3(3(3(1(0(0(1(3(0(z0)))))))))))))), 0'(2(0(3(3(3(3(1(0(0(1(3(0(z0))))))))))))), 2'(0(3(3(3(3(1(0(0(1(3(0(z0)))))))))))), 0'(3(3(3(3(1(0(0(1(3(0(z0))))))))))), 3'(3(3(3(1(0(0(1(3(0(z0)))))))))), 3'(3(3(1(0(0(1(3(0(z0))))))))), 3'(3(1(0(0(1(3(0(z0)))))))), 3'(1(0(0(1(3(0(z0))))))), 1'(0(0(1(3(0(z0)))))), 0'(0(1(3(0(z0))))), 0'(1(3(0(z0)))), 1'(3(0(z0))), 3'(0(z0)), 0'(z0))
   ENCODE_0(z0) -> c8(0'(encArg(z0)))
   ENCODE_1(z0) -> c8(1'(encArg(z0)))
   ENCODE_2(z0) -> c8(2'(encArg(z0)))
   ENCODE_3(z0) -> c8(3'(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)))
S tuples:
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   0'(c_3(c_2(c_2(c_2(c_3(c_2(c_2(c_3(c_1(c_3(c_0(c_3(c_2(c_3(c_0(c_3(c_3(c_1(c_3(z0)))))))))))))))))))) -> c15(3'(0(3(3(3(3(3(2(3(3(3(1(0(0(3(2(0(2(2(1(z0)))))))))))))))))))), 0'(3(3(3(3(3(2(3(3(3(1(0(0(3(2(0(2(2(1(z0))))))))))))))))))), 3'(3(3(3(3(2(3(3(3(1(0(0(3(2(0(2(2(1(z0)))))))))))))))))), 3'(3(3(3(2(3(3(3(1(0(0(3(2(0(2(2(1(z0))))))))))))))))), 3'(3(3(2(3(3(3(1(0(0(3(2(0(2(2(1(z0)))))))))))))))), 3'(3(2(3(3(3(1(0(0(3(2(0(2(2(1(z0))))))))))))))), 3'(2(3(3(3(1(0(0(3(2(0(2(2(1(z0)))))))))))))), 2'(3(3(3(1(0(0(3(2(0(2(2(1(z0))))))))))))), 3'(3(3(1(0(0(3(2(0(2(2(1(z0)))))))))))), 3'(3(1(0(0(3(2(0(2(2(1(z0))))))))))), 3'(1(0(0(3(2(0(2(2(1(z0)))))))))), 1'(0(0(3(2(0(2(2(1(z0))))))))), 0'(0(3(2(0(2(2(1(z0)))))))), 0'(3(2(0(2(2(1(z0))))))), 3'(2(0(2(2(1(z0)))))), 2'(0(2(2(1(z0))))), 0'(2(2(1(z0)))), 2'(2(1(z0))), 2'(1(z0)), 1'(z0))
   0'(c_0(c_3(c_1(c_0(c_2(c_0(c_3(c_1(c_0(c_0(c_3(c_0(c_0(c_0(c_3(c_2(c_0(c_2(c_3(z0)))))))))))))))))))) -> c16(0'(0(1(0(2(1(3(0(1(0(0(3(1(0(3(3(2(2(3(3(z0)))))))))))))))))))), 0'(1(0(2(1(3(0(1(0(0(3(1(0(3(3(2(2(3(3(z0))))))))))))))))))), 1'(0(2(1(3(0(1(0(0(3(1(0(3(3(2(2(3(3(z0)))))))))))))))))), 0'(2(1(3(0(1(0(0(3(1(0(3(3(2(2(3(3(z0))))))))))))))))), 2'(1(3(0(1(0(0(3(1(0(3(3(2(2(3(3(z0)))))))))))))))), 1'(3(0(1(0(0(3(1(0(3(3(2(2(3(3(z0))))))))))))))), 3'(0(1(0(0(3(1(0(3(3(2(2(3(3(z0)))))))))))))), 0'(1(0(0(3(1(0(3(3(2(2(3(3(z0))))))))))))), 1'(0(0(3(1(0(3(3(2(2(3(3(z0)))))))))))), 0'(0(3(1(0(3(3(2(2(3(3(z0))))))))))), 0'(3(1(0(3(3(2(2(3(3(z0)))))))))), 3'(1(0(3(3(2(2(3(3(z0))))))))), 1'(0(3(3(2(2(3(3(z0)))))))), 0'(3(3(2(2(3(3(z0))))))), 3'(3(2(2(3(3(z0)))))), 3'(2(2(3(3(z0))))), 2'(2(3(3(z0)))), 2'(3(3(z0))), 3'(3(z0)), 3'(z0))
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   3'(c_1(c_1(c_3(c_2(c_3(c_3(c_3(c_1(c_0(c_1(c_2(c_0(c_3(c_0(c_0(c_0(c_1(c_2(c_3(z0)))))))))))))))))))) -> c99(3'(3(3(0(3(3(1(0(2(3(0(0(2(2(3(3(0(3(2(0(z0)))))))))))))))))))), 3'(3(0(3(3(1(0(2(3(0(0(2(2(3(3(0(3(2(0(z0))))))))))))))))))), 3'(0(3(3(1(0(2(3(0(0(2(2(3(3(0(3(2(0(z0)))))))))))))))))), 0'(3(3(1(0(2(3(0(0(2(2(3(3(0(3(2(0(z0))))))))))))))))), 3'(3(1(0(2(3(0(0(2(2(3(3(0(3(2(0(z0)))))))))))))))), 3'(1(0(2(3(0(0(2(2(3(3(0(3(2(0(z0))))))))))))))), 1'(0(2(3(0(0(2(2(3(3(0(3(2(0(z0)))))))))))))), 0'(2(3(0(0(2(2(3(3(0(3(2(0(z0))))))))))))), 2'(3(0(0(2(2(3(3(0(3(2(0(z0)))))))))))), 3'(0(0(2(2(3(3(0(3(2(0(z0))))))))))), 0'(0(2(2(3(3(0(3(2(0(z0)))))))))), 0'(2(2(3(3(0(3(2(0(z0))))))))), 2'(2(3(3(0(3(2(0(z0)))))))), 2'(3(3(0(3(2(0(z0))))))), 3'(3(0(3(2(0(z0)))))), 3'(0(3(2(0(z0))))), 0'(3(2(0(z0)))), 3'(2(0(z0))), 2'(0(z0)), 0'(z0))
   3'(c_0(c_2(c_1(c_2(c_1(c_3(c_1(c_3(c_0(c_3(c_1(c_3(c_0(c_2(c_0(c_2(c_0(c_3(c_2(z0)))))))))))))))))))) -> c100(2'(2(3(1(3(1(3(3(1(3(3(0(0(2(1(2(3(3(3(2(z0)))))))))))))))))))), 2'(3(1(3(1(3(3(1(3(3(0(0(2(1(2(3(3(3(2(z0))))))))))))))))))), 3'(1(3(1(3(3(1(3(3(0(0(2(1(2(3(3(3(2(z0)))))))))))))))))), 1'(3(1(3(3(1(3(3(0(0(2(1(2(3(3(3(2(z0))))))))))))))))), 3'(1(3(3(1(3(3(0(0(2(1(2(3(3(3(2(z0)))))))))))))))), 1'(3(3(1(3(3(0(0(2(1(2(3(3(3(2(z0))))))))))))))), 3'(3(1(3(3(0(0(2(1(2(3(3(3(2(z0)))))))))))))), 3'(1(3(3(0(0(2(1(2(3(3(3(2(z0))))))))))))), 1'(3(3(0(0(2(1(2(3(3(3(2(z0)))))))))))), 3'(3(0(0(2(1(2(3(3(3(2(z0))))))))))), 3'(0(0(2(1(2(3(3(3(2(z0)))))))))), 0'(0(2(1(2(3(3(3(2(z0))))))))), 0'(2(1(2(3(3(3(2(z0)))))))), 2'(1(2(3(3(3(2(z0))))))), 1'(2(3(3(3(2(z0)))))), 2'(3(3(3(2(z0))))), 3'(3(3(2(z0)))), 3'(3(2(z0))), 3'(2(z0)), 2'(z0))
   3'(c_0(c_2(c_2(c_1(c_1(c_0(c_1(c_1(c_1(c_3(c_0(c_3(c_1(c_3(c_2(c_1(c_3(c_3(c_0(z0)))))))))))))))))))) -> c101(0'(0(0(0(1(3(3(1(1(3(1(3(0(1(0(3(3(1(1(3(z0)))))))))))))))))))), 0'(0(0(1(3(3(1(1(3(1(3(0(1(0(3(3(1(1(3(z0))))))))))))))))))), 0'(0(1(3(3(1(1(3(1(3(0(1(0(3(3(1(1(3(z0)))))))))))))))))), 0'(1(3(3(1(1(3(1(3(0(1(0(3(3(1(1(3(z0))))))))))))))))), 1'(3(3(1(1(3(1(3(0(1(0(3(3(1(1(3(z0)))))))))))))))), 3'(3(1(1(3(1(3(0(1(0(3(3(1(1(3(z0))))))))))))))), 3'(1(1(3(1(3(0(1(0(3(3(1(1(3(z0)))))))))))))), 1'(1(3(1(3(0(1(0(3(3(1(1(3(z0))))))))))))), 1'(3(1(3(0(1(0(3(3(1(1(3(z0)))))))))))), 3'(1(3(0(1(0(3(3(1(1(3(z0))))))))))), 1'(3(0(1(0(3(3(1(1(3(z0)))))))))), 3'(0(1(0(3(3(1(1(3(z0))))))))), 0'(1(0(3(3(1(1(3(z0)))))))), 1'(0(3(3(1(1(3(z0))))))), 0'(3(3(1(1(3(z0)))))), 3'(3(1(1(3(z0))))), 3'(1(1(3(z0)))), 1'(1(3(z0))), 1'(3(z0)), 3'(z0))
   3'(c_1(c_3(c_0(c_2(c_1(c_1(c_2(c_0(c_3(c_2(c_2(c_1(c_3(c_1(c_1(c_2(c_2(c_3(c_3(z0)))))))))))))))))))) -> c102(1'(0(0(1(3(0(1(1(2(0(3(3(3(3(0(0(3(0(3(2(z0)))))))))))))))))))), 0'(0(1(3(0(1(1(2(0(3(3(3(3(0(0(3(0(3(2(z0))))))))))))))))))), 0'(1(3(0(1(1(2(0(3(3(3(3(0(0(3(0(3(2(z0)))))))))))))))))), 1'(3(0(1(1(2(0(3(3(3(3(0(0(3(0(3(2(z0))))))))))))))))), 3'(0(1(1(2(0(3(3(3(3(0(0(3(0(3(2(z0)))))))))))))))), 0'(1(1(2(0(3(3(3(3(0(0(3(0(3(2(z0))))))))))))))), 1'(1(2(0(3(3(3(3(0(0(3(0(3(2(z0)))))))))))))), 1'(2(0(3(3(3(3(0(0(3(0(3(2(z0))))))))))))), 2'(0(3(3(3(3(0(0(3(0(3(2(z0)))))))))))), 0'(3(3(3(3(0(0(3(0(3(2(z0))))))))))), 3'(3(3(3(0(0(3(0(3(2(z0)))))))))), 3'(3(3(0(0(3(0(3(2(z0))))))))), 3'(3(0(0(3(0(3(2(z0)))))))), 3'(0(0(3(0(3(2(z0))))))), 0'(0(3(0(3(2(z0)))))), 0'(3(0(3(2(z0))))), 3'(0(3(2(z0)))), 0'(3(2(z0))), 3'(2(z0)), 2'(z0))
   3'(c_0(c_2(c_0(c_2(c_0(c_1(c_1(c_3(c_0(c_0(c_3(c_0(c_0(c_2(c_0(c_0(c_3(c_2(c_3(z0)))))))))))))))))))) -> c103(0'(3(2(2(0(3(3(3(1(1(0(0(3(0(2(2(1(1(3(3(z0)))))))))))))))))))), 3'(2(2(0(3(3(3(1(1(0(0(3(0(2(2(1(1(3(3(z0))))))))))))))))))), 2'(2(0(3(3(3(1(1(0(0(3(0(2(2(1(1(3(3(z0)))))))))))))))))), 2'(0(3(3(3(1(1(0(0(3(0(2(2(1(1(3(3(z0))))))))))))))))), 0'(3(3(3(1(1(0(0(3(0(2(2(1(1(3(3(z0)))))))))))))))), 3'(3(3(1(1(0(0(3(0(2(2(1(1(3(3(z0))))))))))))))), 3'(3(1(1(0(0(3(0(2(2(1(1(3(3(z0)))))))))))))), 3'(1(1(0(0(3(0(2(2(1(1(3(3(z0))))))))))))), 1'(1(0(0(3(0(2(2(1(1(3(3(z0)))))))))))), 1'(0(0(3(0(2(2(1(1(3(3(z0))))))))))), 0'(0(3(0(2(2(1(1(3(3(z0)))))))))), 0'(3(0(2(2(1(1(3(3(z0))))))))), 3'(0(2(2(1(1(3(3(z0)))))))), 0'(2(2(1(1(3(3(z0))))))), 2'(2(1(1(3(3(z0)))))), 2'(1(1(3(3(z0))))), 1'(1(3(3(z0)))), 1'(3(3(z0))), 3'(3(z0)), 3'(z0))
   3'(c_0(c_0(c_1(c_1(c_1(c_3(c_3(c_3(c_0(c_2(c_2(c_1(c_3(c_1(c_2(c_3(c_1(c_1(c_0(z0)))))))))))))))))))) -> c104(1'(3(0(2(1(3(3(2(0(2(3(1(3(0(3(0(0(2(1(0(z0)))))))))))))))))))), 3'(0(2(1(3(3(2(0(2(3(1(3(0(3(0(0(2(1(0(z0))))))))))))))))))), 0'(2(1(3(3(2(0(2(3(1(3(0(3(0(0(2(1(0(z0)))))))))))))))))), 2'(1(3(3(2(0(2(3(1(3(0(3(0(0(2(1(0(z0))))))))))))))))), 1'(3(3(2(0(2(3(1(3(0(3(0(0(2(1(0(z0)))))))))))))))), 3'(3(2(0(2(3(1(3(0(3(0(0(2(1(0(z0))))))))))))))), 3'(2(0(2(3(1(3(0(3(0(0(2(1(0(z0)))))))))))))), 2'(0(2(3(1(3(0(3(0(0(2(1(0(z0))))))))))))), 0'(2(3(1(3(0(3(0(0(2(1(0(z0)))))))))))), 2'(3(1(3(0(3(0(0(2(1(0(z0))))))))))), 3'(1(3(0(3(0(0(2(1(0(z0)))))))))), 1'(3(0(3(0(0(2(1(0(z0))))))))), 3'(0(3(0(0(2(1(0(z0)))))))), 0'(3(0(0(2(1(0(z0))))))), 3'(0(0(2(1(0(z0)))))), 0'(0(2(1(0(z0))))), 0'(2(1(0(z0)))), 2'(1(0(z0))), 1'(0(z0)), 0'(z0))
   3'(c_0(c_3(c_2(c_1(c_3(c_0(c_3(c_3(c_0(c_3(c_3(c_0(c_3(c_0(c_3(c_1(c_0(c_0(c_1(z0)))))))))))))))))))) -> c105(3'(3(3(3(2(3(0(1(0(0(0(3(3(1(3(3(3(1(1(2(z0)))))))))))))))))))), 3'(3(3(2(3(0(1(0(0(0(3(3(1(3(3(3(1(1(2(z0))))))))))))))))))), 3'(3(2(3(0(1(0(0(0(3(3(1(3(3(3(1(1(2(z0)))))))))))))))))), 3'(2(3(0(1(0(0(0(3(3(1(3(3(3(1(1(2(z0))))))))))))))))), 2'(3(0(1(0(0(0(3(3(1(3(3(3(1(1(2(z0)))))))))))))))), 3'(0(1(0(0(0(3(3(1(3(3(3(1(1(2(z0))))))))))))))), 0'(1(0(0(0(3(3(1(3(3(3(1(1(2(z0)))))))))))))), 1'(0(0(0(3(3(1(3(3(3(1(1(2(z0))))))))))))), 0'(0(0(3(3(1(3(3(3(1(1(2(z0)))))))))))), 0'(0(3(3(1(3(3(3(1(1(2(z0))))))))))), 0'(3(3(1(3(3(3(1(1(2(z0)))))))))), 3'(3(1(3(3(3(1(1(2(z0))))))))), 3'(1(3(3(3(1(1(2(z0)))))))), 1'(3(3(3(1(1(2(z0))))))), 3'(3(3(1(1(2(z0)))))), 3'(3(1(1(2(z0))))), 3'(1(1(2(z0)))), 1'(1(2(z0))), 1'(2(z0)), 2'(z0))
   3'(c_3(c_1(c_0(c_1(c_3(c_0(c_0(c_3(c_1(c_2(c_1(c_0(c_0(c_3(c_0(c_1(c_0(c_3(c_1(z0)))))))))))))))))))) -> c106(1'(3(3(3(3(2(3(2(2(0(3(1(0(0(1(3(0(3(3(1(z0)))))))))))))))))))), 3'(3(3(3(2(3(2(2(0(3(1(0(0(1(3(0(3(3(1(z0))))))))))))))))))), 3'(3(3(2(3(2(2(0(3(1(0(0(1(3(0(3(3(1(z0)))))))))))))))))), 3'(3(2(3(2(2(0(3(1(0(0(1(3(0(3(3(1(z0))))))))))))))))), 3'(2(3(2(2(0(3(1(0(0(1(3(0(3(3(1(z0)))))))))))))))), 2'(3(2(2(0(3(1(0(0(1(3(0(3(3(1(z0))))))))))))))), 3'(2(2(0(3(1(0(0(1(3(0(3(3(1(z0)))))))))))))), 2'(2(0(3(1(0(0(1(3(0(3(3(1(z0))))))))))))), 2'(0(3(1(0(0(1(3(0(3(3(1(z0)))))))))))), 0'(3(1(0(0(1(3(0(3(3(1(z0))))))))))), 3'(1(0(0(1(3(0(3(3(1(z0)))))))))), 1'(0(0(1(3(0(3(3(1(z0))))))))), 0'(0(1(3(0(3(3(1(z0)))))))), 0'(1(3(0(3(3(1(z0))))))), 1'(3(0(3(3(1(z0)))))), 3'(0(3(3(1(z0))))), 0'(3(3(1(z0)))), 3'(3(1(z0))), 3'(1(z0)), 1'(z0))
   3'(c_3(c_3(c_3(c_1(c_1(c_3(c_2(c_3(c_0(c_3(c_3(c_0(c_3(c_2(c_1(c_0(c_0(c_2(c_2(z0)))))))))))))))))))) -> c107(3'(3(0(3(0(0(3(3(3(1(3(1(1(0(3(0(2(0(1(2(z0)))))))))))))))))))), 3'(0(3(0(0(3(3(3(1(3(1(1(0(3(0(2(0(1(2(z0))))))))))))))))))), 0'(3(0(0(3(3(3(1(3(1(1(0(3(0(2(0(1(2(z0)))))))))))))))))), 3'(0(0(3(3(3(1(3(1(1(0(3(0(2(0(1(2(z0))))))))))))))))), 0'(0(3(3(3(1(3(1(1(0(3(0(2(0(1(2(z0)))))))))))))))), 0'(3(3(3(1(3(1(1(0(3(0(2(0(1(2(z0))))))))))))))), 3'(3(3(1(3(1(1(0(3(0(2(0(1(2(z0)))))))))))))), 3'(3(1(3(1(1(0(3(0(2(0(1(2(z0))))))))))))), 3'(1(3(1(1(0(3(0(2(0(1(2(z0)))))))))))), 1'(3(1(1(0(3(0(2(0(1(2(z0))))))))))), 3'(1(1(0(3(0(2(0(1(2(z0)))))))))), 1'(1(0(3(0(2(0(1(2(z0))))))))), 1'(0(3(0(2(0(1(2(z0)))))))), 0'(3(0(2(0(1(2(z0))))))), 3'(0(2(0(1(2(z0)))))), 0'(2(0(1(2(z0))))), 2'(0(1(2(z0)))), 0'(1(2(z0))), 1'(2(z0)), 2'(z0))
   3'(c_2(c_3(c_0(c_1(c_3(c_2(c_2(c_0(c_1(c_1(c_3(c_3(c_3(c_1(c_2(c_3(c_1(c_1(c_0(z0)))))))))))))))))))) -> c108(0'(0(0(0(3(2(3(1(1(1(0(1(0(0(3(3(0(2(3(1(z0)))))))))))))))))))), 0'(0(0(3(2(3(1(1(1(0(1(0(0(3(3(0(2(3(1(z0))))))))))))))))))), 0'(0(3(2(3(1(1(1(0(1(0(0(3(3(0(2(3(1(z0)))))))))))))))))), 0'(3(2(3(1(1(1(0(1(0(0(3(3(0(2(3(1(z0))))))))))))))))), 3'(2(3(1(1(1(0(1(0(0(3(3(0(2(3(1(z0)))))))))))))))), 2'(3(1(1(1(0(1(0(0(3(3(0(2(3(1(z0))))))))))))))), 3'(1(1(1(0(1(0(0(3(3(0(2(3(1(z0)))))))))))))), 1'(1(1(0(1(0(0(3(3(0(2(3(1(z0))))))))))))), 1'(1(0(1(0(0(3(3(0(2(3(1(z0)))))))))))), 1'(0(1(0(0(3(3(0(2(3(1(z0))))))))))), 0'(1(0(0(3(3(0(2(3(1(z0)))))))))), 1'(0(0(3(3(0(2(3(1(z0))))))))), 0'(0(3(3(0(2(3(1(z0)))))))), 0'(3(3(0(2(3(1(z0))))))), 3'(3(0(2(3(1(z0)))))), 3'(0(2(3(1(z0))))), 0'(2(3(1(z0)))), 2'(3(1(z0))), 3'(1(z0)), 1'(z0))
   3'(c_0(c_3(c_2(c_2(c_2(c_3(c_1(c_3(c_0(c_2(c_1(c_0(c_1(c_0(c_2(c_2(c_3(c_3(c_1(z0)))))))))))))))))))) -> c109(2'(3(0(0(3(1(2(0(3(3(0(0(0(3(3(3(1(0(2(2(z0)))))))))))))))))))), 3'(0(0(3(1(2(0(3(3(0(0(0(3(3(3(1(0(2(2(z0))))))))))))))))))), 0'(0(3(1(2(0(3(3(0(0(0(3(3(3(1(0(2(2(z0)))))))))))))))))), 0'(3(1(2(0(3(3(0(0(0(3(3(3(1(0(2(2(z0))))))))))))))))), 3'(1(2(0(3(3(0(0(0(3(3(3(1(0(2(2(z0)))))))))))))))), 1'(2(0(3(3(0(0(0(3(3(3(1(0(2(2(z0))))))))))))))), 2'(0(3(3(0(0(0(3(3(3(1(0(2(2(z0)))))))))))))), 0'(3(3(0(0(0(3(3(3(1(0(2(2(z0))))))))))))), 3'(3(0(0(0(3(3(3(1(0(2(2(z0)))))))))))), 3'(0(0(0(3(3(3(1(0(2(2(z0))))))))))), 0'(0(0(3(3(3(1(0(2(2(z0)))))))))), 0'(0(3(3(3(1(0(2(2(z0))))))))), 0'(3(3(3(1(0(2(2(z0)))))))), 3'(3(3(1(0(2(2(z0))))))), 3'(3(1(0(2(2(z0)))))), 3'(1(0(2(2(z0))))), 1'(0(2(2(z0)))), 0'(2(2(z0))), 2'(2(z0)), 2'(z0))
   3'(c_2(c_0(c_3(c_3(c_1(c_3(c_2(c_3(c_0(c_3(c_2(c_3(c_1(c_3(c_0(c_2(c_1(c_3(c_0(z0)))))))))))))))))))) -> c110(3'(3(3(0(2(3(3(0(2(0(3(3(3(3(1(0(0(1(3(0(z0)))))))))))))))))))), 3'(3(0(2(3(3(0(2(0(3(3(3(3(1(0(0(1(3(0(z0))))))))))))))))))), 3'(0(2(3(3(0(2(0(3(3(3(3(1(0(0(1(3(0(z0)))))))))))))))))), 0'(2(3(3(0(2(0(3(3(3(3(1(0(0(1(3(0(z0))))))))))))))))), 2'(3(3(0(2(0(3(3(3(3(1(0(0(1(3(0(z0)))))))))))))))), 3'(3(0(2(0(3(3(3(3(1(0(0(1(3(0(z0))))))))))))))), 3'(0(2(0(3(3(3(3(1(0(0(1(3(0(z0)))))))))))))), 0'(2(0(3(3(3(3(1(0(0(1(3(0(z0))))))))))))), 2'(0(3(3(3(3(1(0(0(1(3(0(z0)))))))))))), 0'(3(3(3(3(1(0(0(1(3(0(z0))))))))))), 3'(3(3(3(1(0(0(1(3(0(z0)))))))))), 3'(3(3(1(0(0(1(3(0(z0))))))))), 3'(3(1(0(0(1(3(0(z0)))))))), 3'(1(0(0(1(3(0(z0))))))), 1'(0(0(1(3(0(z0)))))), 0'(0(1(3(0(z0))))), 0'(1(3(0(z0)))), 1'(3(0(z0))), 3'(0(z0)), 0'(z0))
K tuples:none
Defined Rule Symbols:   encArg_1, 0_1, 1_1, 2_1, 3_1

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

Compound Symbols:   c1_2, c2_2, c3_2, c9_20, c10_20, 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_20, c33_20, c34_20, c35_20, c37_20, c38_20, c39_20, c40_20, c41_20, c42_20, c43_20, c44_20, c45_20, c46_20, c47_20, c48_20, c49_20, c50_20, c51_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_20, c73_20, c74_20, c75_20, c76_20, c77_20, c78_20, c79_20, c80_20, c81_20, c82_20, c83_20, c84_20, c85_20, c86_20, c87_20, c88_20, c90_20, c91_20, c92_20, c93_20, c94_20, c95_20, c96_20, c97_20, c98_20, c99_20, c100_20, c101_20, c102_20, c103_20, c104_20, c105_20, c106_20, c107_20, c108_20, c109_20, c110_20, c8_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)))

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

(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))
   0(z0) -> c_0(z0)
   0(c_1(c_1(c_1(c_0(c_0(c_0(c_0(c_0(c_0(c_3(c_0(c_1(c_0(c_1(c_0(c_2(c_0(c_3(c_1(z0)))))))))))))))))))) -> 1(0(2(1(3(0(1(0(2(3(0(0(3(3(0(1(0(0(1(0(z0))))))))))))))))))))
   0(c_0(c_1(c_2(c_3(c_0(c_1(c_0(c_3(c_0(c_3(c_1(c_1(c_1(c_0(c_1(c_3(c_3(c_2(c_3(z0)))))))))))))))))))) -> 3(0(3(1(1(0(2(3(0(3(3(1(3(1(0(3(0(1(2(3(z0))))))))))))))))))))
   0(c_2(c_0(c_3(c_1(c_1(c_3(c_2(c_3(c_3(c_0(c_2(c_2(c_0(c_2(c_3(c_0(c_0(c_2(c_3(z0)))))))))))))))))))) -> 0(0(3(3(2(3(3(3(0(1(1(1(2(2(3(1(3(1(1(3(z0))))))))))))))))))))
   0(c_0(c_1(c_1(c_0(c_1(c_0(c_2(c_3(c_1(c_3(c_3(c_3(c_1(c_2(c_2(c_0(c_0(c_2(c_3(z0)))))))))))))))))))) -> 0(0(3(0(2(1(3(3(1(3(2(3(3(3(2(0(0(1(0(2(z0))))))))))))))))))))
   0(c_1(c_0(c_1(c_1(c_3(c_3(c_0(c_0(c_1(c_3(c_1(c_3(c_0(c_2(c_3(c_0(c_3(c_2(c_3(z0)))))))))))))))))))) -> 1(2(3(3(0(1(3(3(0(1(0(3(3(3(0(2(0(2(1(3(z0))))))))))))))))))))
   0(c_3(c_0(c_2(c_0(c_1(c_3(c_0(c_1(c_2(c_3(c_2(c_1(c_1(c_0(c_0(c_3(c_3(c_2(c_3(z0)))))))))))))))))))) -> 0(3(3(2(2(3(2(3(2(0(0(2(3(3(3(3(3(0(1(0(z0))))))))))))))))))))
   0(c_3(c_2(c_2(c_2(c_3(c_2(c_2(c_3(c_1(c_3(c_0(c_3(c_2(c_3(c_0(c_3(c_3(c_1(c_3(z0)))))))))))))))))))) -> 3(0(3(3(3(3(3(2(3(3(3(1(0(0(3(2(0(2(2(1(z0))))))))))))))))))))
   0(c_0(c_3(c_1(c_0(c_2(c_0(c_3(c_1(c_0(c_0(c_3(c_0(c_0(c_0(c_3(c_2(c_0(c_2(c_3(z0)))))))))))))))))))) -> 0(0(1(0(2(1(3(0(1(0(0(3(1(0(3(3(2(2(3(3(z0))))))))))))))))))))
   0(c_0(c_0(c_1(c_1(c_0(c_3(c_3(c_3(c_3(c_0(c_1(c_0(c_2(c_2(c_1(c_3(c_2(c_0(c_0(z0)))))))))))))))))))) -> 0(0(1(3(3(0(1(3(3(0(1(2(3(2(2(0(3(2(3(3(z0))))))))))))))))))))
   0(c_1(c_3(c_1(c_2(c_1(c_3(c_1(c_3(c_3(c_1(c_2(c_2(c_1(c_0(c_3(c_2(c_1(c_1(c_1(z0)))))))))))))))))))) -> 0(0(2(0(0(3(3(1(1(1(1(3(0(1(1(0(0(2(1(2(z0))))))))))))))))))))
   0(c_0(c_3(c_2(c_0(c_3(c_3(c_2(c_0(c_2(c_1(c_3(c_3(c_3(c_2(c_2(c_3(c_1(c_2(c_3(z0)))))))))))))))))))) -> 3(1(3(0(1(0(0(0(1(1(3(0(2(2(1(2(3(1(0(3(z0))))))))))))))))))))
   0(c_2(c_2(c_1(c_1(c_2(c_0(c_1(c_1(c_0(c_0(c_1(c_1(c_2(c_0(c_1(c_0(c_3(c_3(c_3(z0)))))))))))))))))))) -> 3(1(0(1(3(1(0(3(0(3(1(3(2(1(0(1(1(3(1(3(z0))))))))))))))))))))
   0(c_2(c_2(c_2(c_1(c_2(c_2(c_1(c_1(c_1(c_1(c_2(c_3(c_2(c_0(c_3(c_3(c_3(c_3(c_0(z0)))))))))))))))))))) -> 3(1(2(3(3(3(1(0(3(3(2(0(2(2(3(1(1(1(3(1(z0))))))))))))))))))))
   0(c_0(c_3(c_2(c_1(c_2(c_0(c_2(c_3(c_2(c_1(c_0(c_1(c_0(c_3(c_3(c_0(c_0(c_3(c_1(z0)))))))))))))))))))) -> 3(2(3(3(0(3(1(1(0(1(1(1(1(1(3(0(3(3(0(1(z0))))))))))))))))))))
   0(c_1(c_3(c_3(c_0(c_0(c_2(c_2(c_3(c_2(c_0(c_0(c_0(c_1(c_2(c_0(c_3(c_2(c_1(c_3(z0)))))))))))))))))))) -> 0(0(3(0(0(0(2(1(0(0(1(2(0(0(3(3(3(3(1(0(z0))))))))))))))))))))
   0(c_0(c_3(c_0(c_1(c_3(c_1(c_2(c_1(c_1(c_3(c_0(c_0(c_1(c_3(c_0(c_1(c_2(c_1(c_3(z0)))))))))))))))))))) -> 2(3(1(2(3(2(3(3(0(2(3(3(0(0(0(2(1(2(3(3(z0))))))))))))))))))))
   0(c_2(c_2(c_3(c_3(c_0(c_0(c_3(c_3(c_1(c_3(c_0(c_3(c_2(c_2(c_1(c_1(c_2(c_3(c_3(z0)))))))))))))))))))) -> 1(3(3(3(0(1(0(0(3(0(1(3(3(3(3(0(2(3(2(3(z0))))))))))))))))))))
   0(c_0(c_1(c_2(c_2(c_1(c_3(c_3(c_2(c_2(c_1(c_2(c_0(c_2(c_3(c_0(c_0(c_1(c_3(c_3(z0)))))))))))))))))))) -> 3(0(1(2(1(2(0(2(2(1(3(2(2(3(3(3(3(3(3(3(z0))))))))))))))))))))
   0(c_1(c_3(c_1(c_0(c_1(c_3(c_3(c_1(c_3(c_1(c_2(c_2(c_0(c_0(c_1(c_3(c_3(c_0(c_0(z0)))))))))))))))))))) -> 1(1(1(3(1(3(0(2(3(2(3(0(2(3(3(2(3(3(0(3(z0))))))))))))))))))))
   0(c_0(c_0(c_0(c_1(c_0(c_2(c_3(c_1(c_3(c_0(c_2(c_0(c_1(c_0(c_2(c_1(c_2(c_3(c_3(z0)))))))))))))))))))) -> 0(0(0(2(2(1(3(3(3(0(3(3(1(3(1(1(1(1(3(3(z0))))))))))))))))))))
   0(c_2(c_1(c_3(c_0(c_0(c_0(c_3(c_2(c_0(c_1(c_1(c_0(c_0(c_0(c_2(c_2(c_3(c_1(c_3(z0)))))))))))))))))))) -> 3(3(0(3(0(3(3(0(1(1(0(1(0(2(0(2(3(1(2(3(z0))))))))))))))))))))
   0(c_3(c_1(c_0(c_0(c_3(c_1(c_2(c_2(c_1(c_0(c_0(c_0(c_3(c_0(c_1(c_2(c_0(c_3(c_3(z0)))))))))))))))))))) -> 0(2(3(2(3(3(1(0(0(0(3(1(1(0(2(0(0(0(3(3(z0))))))))))))))))))))
   0(c_0(c_0(c_3(c_1(c_3(c_2(c_1(c_3(c_3(c_3(c_2(c_2(c_3(c_1(c_3(c_0(c_3(c_2(c_3(z0)))))))))))))))))))) -> 0(3(3(2(0(1(2(3(0(0(2(2(1(3(3(3(2(3(3(3(z0))))))))))))))))))))
   0(c_0(c_2(c_0(c_2(c_3(c_0(c_0(c_1(c_1(c_3(c_1(c_3(c_0(c_0(c_3(c_0(c_3(c_0(c_1(z0)))))))))))))))))))) -> 1(3(0(1(3(0(3(0(3(0(1(0(2(3(0(2(0(0(0(2(z0))))))))))))))))))))
   0(c_1(c_3(c_1(c_0(c_2(c_0(c_2(c_2(c_2(c_1(c_2(c_0(c_1(c_3(c_3(c_0(c_3(c_0(c_3(z0)))))))))))))))))))) -> 3(2(1(0(3(2(3(0(0(0(1(3(0(0(3(3(3(1(3(2(z0))))))))))))))))))))
   0(c_2(c_2(c_2(c_1(c_3(c_2(c_1(c_2(c_1(c_3(c_0(c_2(c_3(c_2(c_1(c_0(c_0(c_1(c_3(z0)))))))))))))))))))) -> 0(1(0(2(0(0(0(0(0(3(0(0(0(2(3(2(2(3(3(0(z0))))))))))))))))))))
   0(c_2(c_1(c_3(c_2(c_0(c_2(c_1(c_0(c_1(c_0(c_3(c_0(c_1(c_1(c_1(c_3(c_3(c_3(c_0(z0)))))))))))))))))))) -> 3(0(2(1(3(3(3(3(1(3(2(2(1(0(0(0(3(0(1(1(z0))))))))))))))))))))
   1(z0) -> c_1(z0)
   1(c_1(c_3(c_2(c_1(c_1(c_0(c_0(c_2(c_2(c_3(c_1(c_1(c_1(c_0(c_3(c_3(c_0(c_3(c_3(z0)))))))))))))))))))) -> 0(2(2(3(3(0(2(0(0(0(1(0(2(3(3(0(3(0(1(3(z0))))))))))))))))))))
   1(c_1(c_0(c_2(c_0(c_1(c_3(c_3(c_1(c_1(c_1(c_0(c_1(c_3(c_3(c_3(c_1(c_0(c_1(c_2(z0)))))))))))))))))))) -> 1(0(2(1(2(1(2(3(2(0(3(3(3(3(3(0(0(2(0(0(z0))))))))))))))))))))
   1(c_3(c_1(c_3(c_1(c_3(c_3(c_1(c_3(c_2(c_3(c_0(c_3(c_2(c_2(c_3(c_0(c_3(c_0(c_3(z0)))))))))))))))))))) -> 0(3(2(3(3(3(0(0(0(1(0(3(1(2(3(2(3(0(0(3(z0))))))))))))))))))))
   1(c_0(c_3(c_0(c_0(c_1(c_1(c_1(c_3(c_3(c_0(c_1(c_0(c_0(c_3(c_1(c_1(c_3(c_2(c_3(z0)))))))))))))))))))) -> 3(2(3(3(3(3(3(0(1(3(0(3(1(2(0(3(3(3(1(2(z0))))))))))))))))))))
   1(c_1(c_3(c_3(c_0(c_1(c_3(c_0(c_2(c_1(c_2(c_0(c_2(c_1(c_1(c_1(c_0(c_2(c_2(c_3(z0)))))))))))))))))))) -> 1(3(3(3(2(1(3(3(0(2(0(3(1(2(0(3(0(3(2(0(z0))))))))))))))))))))
   1(c_1(c_0(c_1(c_1(c_3(c_2(c_0(c_3(c_0(c_2(c_3(c_0(c_0(c_0(c_0(c_2(c_0(c_2(c_3(z0)))))))))))))))))))) -> 1(2(3(0(3(0(2(1(0(2(0(3(1(3(0(3(3(2(2(3(z0))))))))))))))))))))
   1(c_1(c_1(c_3(c_2(c_3(c_3(c_3(c_1(c_1(c_0(c_1(c_0(c_0(c_0(c_0(c_0(c_0(c_2(c_3(z0)))))))))))))))))))) -> 1(3(0(0(0(3(1(0(1(1(3(1(0(0(3(1(2(0(3(3(z0))))))))))))))))))))
   1(c_1(c_1(c_3(c_0(c_1(c_0(c_1(c_2(c_2(c_1(c_0(c_2(c_2(c_2(c_3(c_1(c_0(c_3(c_3(z0)))))))))))))))))))) -> 2(2(0(0(3(3(1(2(1(3(3(0(2(3(2(2(1(2(3(3(z0))))))))))))))))))))
   1(c_0(c_0(c_0(c_3(c_3(c_3(c_1(c_1(c_3(c_2(c_0(c_3(c_1(c_2(c_0(c_1(c_1(c_2(c_3(z0)))))))))))))))))))) -> 3(1(3(1(3(3(3(2(2(0(0(3(0(1(3(0(0(2(0(0(z0))))))))))))))))))))
   1(c_0(c_2(c_3(c_0(c_2(c_1(c_2(c_0(c_3(c_0(c_1(c_3(c_3(c_0(c_3(c_0(c_1(c_2(c_2(z0)))))))))))))))))))) -> 0(2(2(0(1(1(3(0(1(1(3(3(0(3(3(0(3(1(3(1(z0))))))))))))))))))))
   1(c_1(c_0(c_1(c_0(c_1(c_2(c_0(c_3(c_0(c_2(c_2(c_3(c_3(c_0(c_2(c_2(c_3(c_1(c_3(z0)))))))))))))))))))) -> 1(1(1(0(2(3(3(0(3(1(3(0(2(1(1(0(3(2(3(3(z0))))))))))))))))))))
   1(c_2(c_3(c_0(c_0(c_3(c_0(c_2(c_0(c_1(c_0(c_1(c_1(c_1(c_3(c_3(c_2(c_1(c_2(c_3(z0)))))))))))))))))))) -> 2(3(3(3(0(1(1(3(3(3(0(1(2(3(0(0(2(2(0(0(z0))))))))))))))))))))
   1(c_3(c_1(c_2(c_0(c_3(c_0(c_0(c_2(c_1(c_0(c_3(c_0(c_3(c_2(c_1(c_3(c_3(c_2(c_3(z0)))))))))))))))))))) -> 0(3(1(1(3(0(1(1(2(3(0(1(0(0(1(0(3(3(0(0(z0))))))))))))))))))))
   1(c_2(c_1(c_2(c_2(c_3(c_0(c_3(c_0(c_1(c_2(c_3(c_3(c_3(c_0(c_0(c_3(c_1(c_1(c_3(z0)))))))))))))))))))) -> 2(3(3(0(1(0(3(2(3(3(1(0(0(0(1(0(0(2(3(3(z0))))))))))))))))))))
   1(c_0(c_3(c_2(c_0(c_1(c_2(c_3(c_0(c_3(c_3(c_0(c_2(c_3(c_3(c_2(c_1(c_1(c_1(c_3(z0)))))))))))))))))))) -> 2(2(1(3(3(3(3(0(3(0(3(3(3(0(0(3(3(0(0(0(z0))))))))))))))))))))
   2(z0) -> c_2(z0)
   2(c_1(c_1(c_0(c_2(c_3(c_0(c_2(c_3(c_3(c_3(c_2(c_1(c_2(c_3(c_1(c_0(c_2(c_3(c_2(z0)))))))))))))))))))) -> 1(3(3(3(0(1(2(1(1(3(3(0(3(0(2(2(2(2(1(1(z0))))))))))))))))))))
   2(c_3(c_1(c_3(c_3(c_3(c_2(c_0(c_1(c_2(c_0(c_0(c_2(c_3(c_3(c_0(c_0(c_1(c_1(c_2(z0)))))))))))))))))))) -> 0(2(0(2(1(3(3(0(2(1(0(3(2(3(0(2(2(1(3(3(z0))))))))))))))))))))
   2(c_3(c_2(c_2(c_2(c_3(c_0(c_0(c_3(c_2(c_1(c_0(c_3(c_0(c_2(c_2(c_0(c_0(c_1(c_1(z0)))))))))))))))))))) -> 0(3(1(3(0(1(2(0(1(2(0(3(1(3(2(1(0(3(0(0(z0))))))))))))))))))))
   2(c_2(c_3(c_3(c_0(c_2(c_3(c_0(c_0(c_1(c_1(c_0(c_0(c_0(c_2(c_2(c_2(c_3(c_1(c_2(z0)))))))))))))))))))) -> 0(3(0(3(2(0(1(0(1(2(0(3(3(0(2(2(3(0(3(2(z0))))))))))))))))))))
   2(c_2(c_0(c_1(c_3(c_3(c_3(c_3(c_1(c_1(c_0(c_3(c_1(c_2(c_0(c_0(c_3(c_1(c_2(c_3(z0)))))))))))))))))))) -> 0(3(3(0(3(3(2(3(0(1(0(1(3(3(3(2(3(2(1(3(z0))))))))))))))))))))
   2(c_1(c_3(c_1(c_3(c_3(c_1(c_2(c_2(c_2(c_0(c_1(c_3(c_0(c_3(c_3(c_2(c_2(c_0(c_3(z0)))))))))))))))))))) -> 2(2(0(1(3(3(1(2(0(0(0(3(3(0(1(3(1(3(0(3(z0))))))))))))))))))))
   2(c_1(c_3(c_1(c_2(c_2(c_0(c_0(c_2(c_2(c_2(c_2(c_3(c_0(c_3(c_0(c_1(c_3(c_1(c_3(z0)))))))))))))))))))) -> 3(0(2(0(3(3(2(2(3(3(0(2(3(2(1(0(0(2(1(3(z0))))))))))))))))))))
   2(c_0(c_3(c_1(c_0(c_1(c_3(c_1(c_1(c_3(c_2(c_2(c_3(c_2(c_2(c_0(c_1(c_3(c_1(c_3(z0)))))))))))))))))))) -> 3(0(0(0(2(0(1(0(1(0(0(1(0(0(3(1(0(1(3(3(z0))))))))))))))))))))
   2(c_1(c_1(c_2(c_3(c_2(c_1(c_2(c_3(c_2(c_0(c_0(c_2(c_3(c_3(c_0(c_2(c_1(c_3(c_3(z0)))))))))))))))))))) -> 0(1(0(0(3(0(1(0(3(0(1(1(1(3(3(3(0(0(3(3(z0))))))))))))))))))))
   2(c_0(c_3(c_1(c_3(c_0(c_1(c_2(c_3(c_2(c_1(c_0(c_3(c_0(c_0(c_3(c_3(c_0(c_0(c_0(z0)))))))))))))))))))) -> 2(3(1(3(1(3(0(1(3(0(0(1(3(3(3(0(0(1(0(2(z0))))))))))))))))))))
   2(c_1(c_0(c_3(c_0(c_0(c_2(c_2(c_3(c_1(c_0(c_0(c_0(c_0(c_3(c_1(c_3(c_0(c_3(c_3(z0)))))))))))))))))))) -> 1(2(2(0(0(2(3(3(3(0(3(0(1(3(1(3(2(3(3(3(z0))))))))))))))))))))
   2(c_1(c_0(c_1(c_1(c_3(c_1(c_3(c_0(c_1(c_3(c_2(c_0(c_3(c_1(c_0(c_0(c_0(c_1(c_3(z0)))))))))))))))))))) -> 0(0(1(2(1(3(3(3(0(2(0(2(1(3(3(0(3(2(1(3(z0))))))))))))))))))))
   2(c_2(c_1(c_0(c_1(c_0(c_2(c_3(c_1(c_2(c_1(c_2(c_2(c_1(c_3(c_3(c_0(c_3(c_1(c_3(z0)))))))))))))))))))) -> 2(2(0(0(3(3(3(1(1(0(0(3(3(2(1(1(0(2(2(3(z0))))))))))))))))))))
   2(c_0(c_0(c_3(c_3(c_1(c_2(c_3(c_2(c_2(c_3(c_3(c_2(c_1(c_1(c_2(c_0(c_1(c_3(c_3(z0)))))))))))))))))))) -> 2(2(3(3(0(1(0(3(0(0(0(1(1(3(1(0(2(2(0(3(z0))))))))))))))))))))
   2(c_2(c_3(c_2(c_2(c_2(c_3(c_3(c_0(c_0(c_0(c_1(c_0(c_3(c_0(c_3(c_0(c_1(c_0(c_1(z0)))))))))))))))))))) -> 2(2(2(3(2(1(3(0(3(3(3(0(2(3(3(1(2(0(3(3(z0))))))))))))))))))))
   2(c_3(c_2(c_3(c_1(c_0(c_0(c_1(c_0(c_2(c_0(c_0(c_1(c_3(c_3(c_1(c_0(c_0(c_0(c_0(z0)))))))))))))))))))) -> 1(2(0(3(3(3(0(2(2(0(1(0(0(1(2(2(1(3(3(0(z0))))))))))))))))))))
   2(c_3(c_2(c_3(c_0(c_3(c_0(c_3(c_3(c_3(c_0(c_1(c_1(c_1(c_0(c_3(c_1(c_2(c_1(c_1(z0)))))))))))))))))))) -> 0(3(1(3(1(3(1(3(0(1(0(0(3(3(3(2(0(2(3(2(z0))))))))))))))))))))
   2(c_0(c_2(c_0(c_0(c_3(c_1(c_0(c_0(c_2(c_3(c_3(c_1(c_0(c_3(c_2(c_1(c_0(c_0(c_3(z0)))))))))))))))))))) -> 1(3(0(1(2(0(2(2(3(1(3(3(3(3(3(3(0(3(0(3(z0))))))))))))))))))))
   2(c_2(c_3(c_1(c_1(c_1(c_1(c_3(c_1(c_3(c_1(c_1(c_0(c_0(c_0(c_0(c_3(c_1(c_2(c_3(z0)))))))))))))))))))) -> 3(2(0(0(0(1(3(1(3(3(1(3(0(0(2(3(0(1(1(1(z0))))))))))))))))))))
   2(c_1(c_0(c_1(c_3(c_3(c_1(c_0(c_2(c_3(c_0(c_0(c_0(c_2(c_3(c_1(c_0(c_0(c_3(c_3(z0)))))))))))))))))))) -> 2(0(1(3(2(1(3(1(3(1(1(3(3(1(3(3(0(0(3(3(z0))))))))))))))))))))
   2(c_1(c_1(c_3(c_3(c_1(c_0(c_2(c_2(c_2(c_2(c_2(c_3(c_0(c_1(c_0(c_2(c_2(c_3(c_3(z0)))))))))))))))))))) -> 0(3(0(3(1(3(0(3(3(1(3(3(0(3(1(3(3(0(3(1(z0))))))))))))))))))))
   2(c_2(c_3(c_3(c_2(c_2(c_2(c_2(c_3(c_0(c_2(c_3(c_0(c_2(c_0(c_1(c_1(c_3(c_3(c_1(z0)))))))))))))))))))) -> 2(2(2(0(0(1(0(0(1(3(3(3(3(3(2(1(0(0(0(3(z0))))))))))))))))))))
   2(c_1(c_3(c_3(c_1(c_1(c_3(c_2(c_1(c_3(c_3(c_1(c_1(c_0(c_2(c_2(c_3(c_0(c_0(c_0(z0)))))))))))))))))))) -> 2(0(0(0(1(0(0(3(1(1(1(3(0(0(3(0(1(3(3(2(z0))))))))))))))))))))
   2(c_1(c_1(c_0(c_3(c_0(c_1(c_2(c_3(c_3(c_1(c_1(c_1(c_3(c_0(c_0(c_3(c_1(c_3(c_0(z0)))))))))))))))))))) -> 2(2(0(3(2(0(0(1(2(1(1(3(1(3(3(0(3(3(3(0(z0))))))))))))))))))))
   2(c_0(c_1(c_0(c_1(c_3(c_2(c_3(c_0(c_0(c_2(c_1(c_0(c_2(c_0(c_3(c_1(c_0(c_2(c_3(z0)))))))))))))))))))) -> 3(3(3(0(3(3(2(3(1(3(1(3(3(0(3(3(0(2(1(0(z0))))))))))))))))))))
   2(c_0(c_3(c_1(c_3(c_3(c_3(c_1(c_2(c_3(c_0(c_1(c_2(c_2(c_3(c_2(c_1(c_0(c_3(c_1(z0)))))))))))))))))))) -> 1(0(3(3(1(3(0(1(2(3(0(1(0(3(3(0(3(2(1(1(z0))))))))))))))))))))
   2(c_3(c_0(c_3(c_3(c_2(c_3(c_0(c_1(c_3(c_2(c_2(c_3(c_3(c_0(c_2(c_2(c_0(c_1(c_2(z0)))))))))))))))))))) -> 2(0(1(3(0(2(2(3(2(0(3(3(2(0(3(1(0(3(0(2(z0))))))))))))))))))))
   2(c_3(c_2(c_2(c_0(c_3(c_3(c_1(c_1(c_1(c_3(c_0(c_0(c_1(c_0(c_0(c_2(c_3(c_0(c_3(z0)))))))))))))))))))) -> 2(3(1(1(0(3(2(2(1(3(0(3(3(2(0(0(1(1(3(3(z0))))))))))))))))))))
   2(c_0(c_1(c_0(c_2(c_2(c_0(c_3(c_0(c_2(c_2(c_3(c_3(c_2(c_1(c_3(c_0(c_2(c_3(c_1(z0)))))))))))))))))))) -> 2(3(3(0(3(0(0(2(3(3(1(1(3(3(0(1(2(3(2(0(z0))))))))))))))))))))
   2(c_0(c_0(c_2(c_1(c_2(c_1(c_1(c_3(c_0(c_2(c_3(c_2(c_1(c_3(c_3(c_1(c_3(c_2(c_3(z0)))))))))))))))))))) -> 2(2(3(1(1(0(1(0(1(1(0(1(0(3(3(1(3(3(3(1(z0))))))))))))))))))))
   2(c_1(c_1(c_1(c_0(c_1(c_3(c_1(c_0(c_3(c_2(c_3(c_0(c_0(c_0(c_3(c_1(c_1(c_0(c_3(z0)))))))))))))))))))) -> 1(1(1(0(1(1(2(0(2(1(0(0(3(3(0(2(0(3(0(3(z0))))))))))))))))))))
   2(c_1(c_3(c_1(c_3(c_3(c_1(c_1(c_1(c_1(c_1(c_1(c_0(c_2(c_3(c_2(c_3(c_0(c_0(c_3(z0)))))))))))))))))))) -> 1(3(0(0(2(0(0(2(0(3(2(2(0(1(3(3(3(0(0(3(z0))))))))))))))))))))
   2(c_1(c_0(c_3(c_0(c_2(c_0(c_2(c_1(c_3(c_3(c_3(c_1(c_1(c_1(c_0(c_0(c_3(c_3(c_2(z0)))))))))))))))))))) -> 2(2(1(3(0(0(1(3(0(3(3(0(3(3(1(0(1(1(0(1(z0))))))))))))))))))))
   2(c_3(c_1(c_2(c_0(c_3(c_2(c_0(c_2(c_3(c_3(c_0(c_2(c_0(c_0(c_1(c_0(c_1(c_0(c_3(z0)))))))))))))))))))) -> 0(3(1(3(0(3(3(0(1(0(0(3(2(0(0(0(3(3(2(3(z0))))))))))))))))))))
   2(c_2(c_3(c_2(c_0(c_0(c_3(c_0(c_3(c_3(c_2(c_2(c_2(c_0(c_2(c_3(c_3(c_3(c_3(c_2(z0)))))))))))))))))))) -> 1(0(3(1(2(3(3(2(3(3(3(3(0(1(3(1(0(3(0(3(z0))))))))))))))))))))
   2(c_2(c_3(c_3(c_0(c_2(c_2(c_0(c_1(c_3(c_1(c_3(c_3(c_0(c_3(c_2(c_2(c_2(c_1(c_2(z0)))))))))))))))))))) -> 2(0(0(0(3(0(3(1(3(2(0(0(1(1(3(0(0(3(2(3(z0))))))))))))))))))))
   3(z0) -> c_3(z0)
   3(c_3(c_0(c_2(c_2(c_3(c_3(c_1(c_2(c_2(c_0(c_0(c_3(c_2(c_0(c_2(c_1(c_0(c_3(c_3(z0)))))))))))))))))))) -> 1(0(2(1(1(3(2(1(1(3(0(3(3(1(1(3(1(3(3(3(z0))))))))))))))))))))
   3(c_3(c_1(c_0(c_3(c_1(c_0(c_3(c_1(c_1(c_3(c_3(c_1(c_3(c_0(c_2(c_2(c_3(c_1(c_1(z0)))))))))))))))))))) -> 0(0(3(0(2(1(3(3(0(0(3(2(0(0(3(0(2(2(0(0(z0))))))))))))))))))))
   3(c_3(c_2(c_1(c_3(c_1(c_3(c_0(c_2(c_0(c_3(c_1(c_2(c_1(c_3(c_2(c_1(c_3(c_2(c_3(z0)))))))))))))))))))) -> 2(3(3(2(2(2(0(3(1(2(3(3(3(3(0(1(3(2(0(3(z0))))))))))))))))))))
   3(c_0(c_1(c_0(c_1(c_2(c_3(c_2(c_1(c_1(c_0(c_1(c_1(c_3(c_0(c_3(c_3(c_2(c_1(c_3(z0)))))))))))))))))))) -> 0(3(0(0(2(3(0(2(2(1(0(1(2(0(1(3(1(3(1(3(z0))))))))))))))))))))
   3(c_3(c_0(c_3(c_3(c_0(c_1(c_2(c_1(c_1(c_0(c_3(c_3(c_0(c_2(c_0(c_0(c_2(c_2(c_1(z0)))))))))))))))))))) -> 3(3(3(3(1(3(3(1(1(3(1(2(3(3(3(2(2(0(2(1(z0))))))))))))))))))))
   3(c_0(c_3(c_3(c_3(c_3(c_1(c_3(c_2(c_0(c_1(c_0(c_1(c_0(c_3(c_3(c_0(c_0(c_1(c_1(z0)))))))))))))))))))) -> 3(3(2(3(3(3(2(3(3(0(1(1(0(3(3(3(0(3(3(0(z0))))))))))))))))))))
   3(c_1(c_0(c_1(c_1(c_1(c_3(c_1(c_0(c_0(c_0(c_2(c_1(c_0(c_1(c_2(c_0(c_0(c_0(c_3(z0)))))))))))))))))))) -> 0(3(0(2(2(0(1(0(1(0(0(2(2(3(2(3(0(1(0(3(z0))))))))))))))))))))
   3(c_3(c_0(c_2(c_3(c_3(c_0(c_1(c_3(c_0(c_0(c_1(c_2(c_2(c_2(c_2(c_3(c_3(c_2(c_1(z0)))))))))))))))))))) -> 3(1(3(3(1(0(3(0(3(0(2(3(3(1(0(1(0(3(1(0(z0))))))))))))))))))))
   3(c_1(c_2(c_3(c_2(c_2(c_2(c_3(c_3(c_0(c_1(c_3(c_0(c_1(c_1(c_1(c_0(c_0(c_0(c_3(z0)))))))))))))))))))) -> 1(2(1(3(1(3(3(3(3(2(1(1(2(3(0(0(3(3(0(0(z0))))))))))))))))))))
   3(c_1(c_1(c_3(c_2(c_3(c_3(c_3(c_1(c_0(c_1(c_2(c_0(c_3(c_0(c_0(c_0(c_1(c_2(c_3(z0)))))))))))))))))))) -> 3(3(3(0(3(3(1(0(2(3(0(0(2(2(3(3(0(3(2(0(z0))))))))))))))))))))
   3(c_0(c_2(c_1(c_2(c_1(c_3(c_1(c_3(c_0(c_3(c_1(c_3(c_0(c_2(c_0(c_2(c_0(c_3(c_2(z0)))))))))))))))))))) -> 2(2(3(1(3(1(3(3(1(3(3(0(0(2(1(2(3(3(3(2(z0))))))))))))))))))))
   3(c_0(c_2(c_2(c_1(c_1(c_0(c_1(c_1(c_1(c_3(c_0(c_3(c_1(c_3(c_2(c_1(c_3(c_3(c_0(z0)))))))))))))))))))) -> 0(0(0(0(1(3(3(1(1(3(1(3(0(1(0(3(3(1(1(3(z0))))))))))))))))))))
   3(c_1(c_3(c_0(c_2(c_1(c_1(c_2(c_0(c_3(c_2(c_2(c_1(c_3(c_1(c_1(c_2(c_2(c_3(c_3(z0)))))))))))))))))))) -> 1(0(0(1(3(0(1(1(2(0(3(3(3(3(0(0(3(0(3(2(z0))))))))))))))))))))
   3(c_0(c_2(c_0(c_2(c_0(c_1(c_1(c_3(c_0(c_0(c_3(c_0(c_0(c_2(c_0(c_0(c_3(c_2(c_3(z0)))))))))))))))))))) -> 0(3(2(2(0(3(3(3(1(1(0(0(3(0(2(2(1(1(3(3(z0))))))))))))))))))))
   3(c_0(c_0(c_1(c_1(c_1(c_3(c_3(c_3(c_0(c_2(c_2(c_1(c_3(c_1(c_2(c_3(c_1(c_1(c_0(z0)))))))))))))))))))) -> 1(3(0(2(1(3(3(2(0(2(3(1(3(0(3(0(0(2(1(0(z0))))))))))))))))))))
   3(c_0(c_3(c_2(c_1(c_3(c_0(c_3(c_3(c_0(c_3(c_3(c_0(c_3(c_0(c_3(c_1(c_0(c_0(c_1(z0)))))))))))))))))))) -> 3(3(3(3(2(3(0(1(0(0(0(3(3(1(3(3(3(1(1(2(z0))))))))))))))))))))
   3(c_3(c_1(c_0(c_1(c_3(c_0(c_0(c_3(c_1(c_2(c_1(c_0(c_0(c_3(c_0(c_1(c_0(c_3(c_1(z0)))))))))))))))))))) -> 1(3(3(3(3(2(3(2(2(0(3(1(0(0(1(3(0(3(3(1(z0))))))))))))))))))))
   3(c_3(c_3(c_3(c_1(c_1(c_3(c_2(c_3(c_0(c_3(c_3(c_0(c_3(c_2(c_1(c_0(c_0(c_2(c_2(z0)))))))))))))))))))) -> 3(3(0(3(0(0(3(3(3(1(3(1(1(0(3(0(2(0(1(2(z0))))))))))))))))))))
   3(c_2(c_3(c_0(c_1(c_3(c_2(c_2(c_0(c_1(c_1(c_3(c_3(c_3(c_1(c_2(c_3(c_1(c_1(c_0(z0)))))))))))))))))))) -> 0(0(0(0(3(2(3(1(1(1(0(1(0(0(3(3(0(2(3(1(z0))))))))))))))))))))
   3(c_0(c_3(c_2(c_2(c_2(c_3(c_1(c_3(c_0(c_2(c_1(c_0(c_1(c_0(c_2(c_2(c_3(c_3(c_1(z0)))))))))))))))))))) -> 2(3(0(0(3(1(2(0(3(3(0(0(0(3(3(3(1(0(2(2(z0))))))))))))))))))))
   3(c_2(c_0(c_3(c_3(c_1(c_3(c_2(c_3(c_0(c_3(c_2(c_3(c_1(c_3(c_0(c_2(c_1(c_3(c_0(z0)))))))))))))))))))) -> 3(3(3(0(2(3(3(0(2(0(3(3(3(3(1(0(0(1(3(0(z0))))))))))))))))))))
Tuples:
   ENCARG(cons_2(z0)) -> c2(2'(encArg(z0)), ENCARG(z0))
   ENCARG(cons_3(z0)) -> c3(3'(encArg(z0)), ENCARG(z0))
   0'(c_1(c_1(c_1(c_0(c_0(c_0(c_0(c_0(c_0(c_3(c_0(c_1(c_0(c_1(c_0(c_2(c_0(c_3(c_1(z0)))))))))))))))))))) -> c9(1'(0(2(1(3(0(1(0(2(3(0(0(3(3(0(1(0(0(1(0(z0)))))))))))))))))))), 0'(2(1(3(0(1(0(2(3(0(0(3(3(0(1(0(0(1(0(z0))))))))))))))))))), 2'(1(3(0(1(0(2(3(0(0(3(3(0(1(0(0(1(0(z0)))))))))))))))))), 1'(3(0(1(0(2(3(0(0(3(3(0(1(0(0(1(0(z0))))))))))))))))), 3'(0(1(0(2(3(0(0(3(3(0(1(0(0(1(0(z0)))))))))))))))), 0'(1(0(2(3(0(0(3(3(0(1(0(0(1(0(z0))))))))))))))), 1'(0(2(3(0(0(3(3(0(1(0(0(1(0(z0)))))))))))))), 0'(2(3(0(0(3(3(0(1(0(0(1(0(z0))))))))))))), 2'(3(0(0(3(3(0(1(0(0(1(0(z0)))))))))))), 3'(0(0(3(3(0(1(0(0(1(0(z0))))))))))), 0'(0(3(3(0(1(0(0(1(0(z0)))))))))), 0'(3(3(0(1(0(0(1(0(z0))))))))), 3'(3(0(1(0(0(1(0(z0)))))))), 3'(0(1(0(0(1(0(z0))))))), 0'(1(0(0(1(0(z0)))))), 1'(0(0(1(0(z0))))), 0'(0(1(0(z0)))), 0'(1(0(z0))), 1'(0(z0)), 0'(z0))
   0'(c_0(c_1(c_2(c_3(c_0(c_1(c_0(c_3(c_0(c_3(c_1(c_1(c_1(c_0(c_1(c_3(c_3(c_2(c_3(z0)))))))))))))))))))) -> c10(3'(0(3(1(1(0(2(3(0(3(3(1(3(1(0(3(0(1(2(3(z0)))))))))))))))))))), 0'(3(1(1(0(2(3(0(3(3(1(3(1(0(3(0(1(2(3(z0))))))))))))))))))), 3'(1(1(0(2(3(0(3(3(1(3(1(0(3(0(1(2(3(z0)))))))))))))))))), 1'(1(0(2(3(0(3(3(1(3(1(0(3(0(1(2(3(z0))))))))))))))))), 1'(0(2(3(0(3(3(1(3(1(0(3(0(1(2(3(z0)))))))))))))))), 0'(2(3(0(3(3(1(3(1(0(3(0(1(2(3(z0))))))))))))))), 2'(3(0(3(3(1(3(1(0(3(0(1(2(3(z0)))))))))))))), 3'(0(3(3(1(3(1(0(3(0(1(2(3(z0))))))))))))), 0'(3(3(1(3(1(0(3(0(1(2(3(z0)))))))))))), 3'(3(1(3(1(0(3(0(1(2(3(z0))))))))))), 3'(1(3(1(0(3(0(1(2(3(z0)))))))))), 1'(3(1(0(3(0(1(2(3(z0))))))))), 3'(1(0(3(0(1(2(3(z0)))))))), 1'(0(3(0(1(2(3(z0))))))), 0'(3(0(1(2(3(z0)))))), 3'(0(1(2(3(z0))))), 0'(1(2(3(z0)))), 1'(2(3(z0))), 2'(3(z0)), 3'(z0))
   0'(c_2(c_0(c_3(c_1(c_1(c_3(c_2(c_3(c_3(c_0(c_2(c_2(c_0(c_2(c_3(c_0(c_0(c_2(c_3(z0)))))))))))))))))))) -> c11(0'(0(3(3(2(3(3(3(0(1(1(1(2(2(3(1(3(1(1(3(z0)))))))))))))))))))), 0'(3(3(2(3(3(3(0(1(1(1(2(2(3(1(3(1(1(3(z0))))))))))))))))))), 3'(3(2(3(3(3(0(1(1(1(2(2(3(1(3(1(1(3(z0)))))))))))))))))), 3'(2(3(3(3(0(1(1(1(2(2(3(1(3(1(1(3(z0))))))))))))))))), 2'(3(3(3(0(1(1(1(2(2(3(1(3(1(1(3(z0)))))))))))))))), 3'(3(3(0(1(1(1(2(2(3(1(3(1(1(3(z0))))))))))))))), 3'(3(0(1(1(1(2(2(3(1(3(1(1(3(z0)))))))))))))), 3'(0(1(1(1(2(2(3(1(3(1(1(3(z0))))))))))))), 0'(1(1(1(2(2(3(1(3(1(1(3(z0)))))))))))), 1'(1(1(2(2(3(1(3(1(1(3(z0))))))))))), 1'(1(2(2(3(1(3(1(1(3(z0)))))))))), 1'(2(2(3(1(3(1(1(3(z0))))))))), 2'(2(3(1(3(1(1(3(z0)))))))), 2'(3(1(3(1(1(3(z0))))))), 3'(1(3(1(1(3(z0)))))), 1'(3(1(1(3(z0))))), 3'(1(1(3(z0)))), 1'(1(3(z0))), 1'(3(z0)), 3'(z0))
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   3'(c_1(c_3(c_0(c_2(c_1(c_1(c_2(c_0(c_3(c_2(c_2(c_1(c_3(c_1(c_1(c_2(c_2(c_3(c_3(z0)))))))))))))))))))) -> c102(1'(0(0(1(3(0(1(1(2(0(3(3(3(3(0(0(3(0(3(2(z0)))))))))))))))))))), 0'(0(1(3(0(1(1(2(0(3(3(3(3(0(0(3(0(3(2(z0))))))))))))))))))), 0'(1(3(0(1(1(2(0(3(3(3(3(0(0(3(0(3(2(z0)))))))))))))))))), 1'(3(0(1(1(2(0(3(3(3(3(0(0(3(0(3(2(z0))))))))))))))))), 3'(0(1(1(2(0(3(3(3(3(0(0(3(0(3(2(z0)))))))))))))))), 0'(1(1(2(0(3(3(3(3(0(0(3(0(3(2(z0))))))))))))))), 1'(1(2(0(3(3(3(3(0(0(3(0(3(2(z0)))))))))))))), 1'(2(0(3(3(3(3(0(0(3(0(3(2(z0))))))))))))), 2'(0(3(3(3(3(0(0(3(0(3(2(z0)))))))))))), 0'(3(3(3(3(0(0(3(0(3(2(z0))))))))))), 3'(3(3(3(0(0(3(0(3(2(z0)))))))))), 3'(3(3(0(0(3(0(3(2(z0))))))))), 3'(3(0(0(3(0(3(2(z0)))))))), 3'(0(0(3(0(3(2(z0))))))), 0'(0(3(0(3(2(z0)))))), 0'(3(0(3(2(z0))))), 3'(0(3(2(z0)))), 0'(3(2(z0))), 3'(2(z0)), 2'(z0))
   3'(c_0(c_2(c_0(c_2(c_0(c_1(c_1(c_3(c_0(c_0(c_3(c_0(c_0(c_2(c_0(c_0(c_3(c_2(c_3(z0)))))))))))))))))))) -> c103(0'(3(2(2(0(3(3(3(1(1(0(0(3(0(2(2(1(1(3(3(z0)))))))))))))))))))), 3'(2(2(0(3(3(3(1(1(0(0(3(0(2(2(1(1(3(3(z0))))))))))))))))))), 2'(2(0(3(3(3(1(1(0(0(3(0(2(2(1(1(3(3(z0)))))))))))))))))), 2'(0(3(3(3(1(1(0(0(3(0(2(2(1(1(3(3(z0))))))))))))))))), 0'(3(3(3(1(1(0(0(3(0(2(2(1(1(3(3(z0)))))))))))))))), 3'(3(3(1(1(0(0(3(0(2(2(1(1(3(3(z0))))))))))))))), 3'(3(1(1(0(0(3(0(2(2(1(1(3(3(z0)))))))))))))), 3'(1(1(0(0(3(0(2(2(1(1(3(3(z0))))))))))))), 1'(1(0(0(3(0(2(2(1(1(3(3(z0)))))))))))), 1'(0(0(3(0(2(2(1(1(3(3(z0))))))))))), 0'(0(3(0(2(2(1(1(3(3(z0)))))))))), 0'(3(0(2(2(1(1(3(3(z0))))))))), 3'(0(2(2(1(1(3(3(z0)))))))), 0'(2(2(1(1(3(3(z0))))))), 2'(2(1(1(3(3(z0)))))), 2'(1(1(3(3(z0))))), 1'(1(3(3(z0)))), 1'(3(3(z0))), 3'(3(z0)), 3'(z0))
   3'(c_0(c_0(c_1(c_1(c_1(c_3(c_3(c_3(c_0(c_2(c_2(c_1(c_3(c_1(c_2(c_3(c_1(c_1(c_0(z0)))))))))))))))))))) -> c104(1'(3(0(2(1(3(3(2(0(2(3(1(3(0(3(0(0(2(1(0(z0)))))))))))))))))))), 3'(0(2(1(3(3(2(0(2(3(1(3(0(3(0(0(2(1(0(z0))))))))))))))))))), 0'(2(1(3(3(2(0(2(3(1(3(0(3(0(0(2(1(0(z0)))))))))))))))))), 2'(1(3(3(2(0(2(3(1(3(0(3(0(0(2(1(0(z0))))))))))))))))), 1'(3(3(2(0(2(3(1(3(0(3(0(0(2(1(0(z0)))))))))))))))), 3'(3(2(0(2(3(1(3(0(3(0(0(2(1(0(z0))))))))))))))), 3'(2(0(2(3(1(3(0(3(0(0(2(1(0(z0)))))))))))))), 2'(0(2(3(1(3(0(3(0(0(2(1(0(z0))))))))))))), 0'(2(3(1(3(0(3(0(0(2(1(0(z0)))))))))))), 2'(3(1(3(0(3(0(0(2(1(0(z0))))))))))), 3'(1(3(0(3(0(0(2(1(0(z0)))))))))), 1'(3(0(3(0(0(2(1(0(z0))))))))), 3'(0(3(0(0(2(1(0(z0)))))))), 0'(3(0(0(2(1(0(z0))))))), 3'(0(0(2(1(0(z0)))))), 0'(0(2(1(0(z0))))), 0'(2(1(0(z0)))), 2'(1(0(z0))), 1'(0(z0)), 0'(z0))
   3'(c_0(c_3(c_2(c_1(c_3(c_0(c_3(c_3(c_0(c_3(c_3(c_0(c_3(c_0(c_3(c_1(c_0(c_0(c_1(z0)))))))))))))))))))) -> c105(3'(3(3(3(2(3(0(1(0(0(0(3(3(1(3(3(3(1(1(2(z0)))))))))))))))))))), 3'(3(3(2(3(0(1(0(0(0(3(3(1(3(3(3(1(1(2(z0))))))))))))))))))), 3'(3(2(3(0(1(0(0(0(3(3(1(3(3(3(1(1(2(z0)))))))))))))))))), 3'(2(3(0(1(0(0(0(3(3(1(3(3(3(1(1(2(z0))))))))))))))))), 2'(3(0(1(0(0(0(3(3(1(3(3(3(1(1(2(z0)))))))))))))))), 3'(0(1(0(0(0(3(3(1(3(3(3(1(1(2(z0))))))))))))))), 0'(1(0(0(0(3(3(1(3(3(3(1(1(2(z0)))))))))))))), 1'(0(0(0(3(3(1(3(3(3(1(1(2(z0))))))))))))), 0'(0(0(3(3(1(3(3(3(1(1(2(z0)))))))))))), 0'(0(3(3(1(3(3(3(1(1(2(z0))))))))))), 0'(3(3(1(3(3(3(1(1(2(z0)))))))))), 3'(3(1(3(3(3(1(1(2(z0))))))))), 3'(1(3(3(3(1(1(2(z0)))))))), 1'(3(3(3(1(1(2(z0))))))), 3'(3(3(1(1(2(z0)))))), 3'(3(1(1(2(z0))))), 3'(1(1(2(z0)))), 1'(1(2(z0))), 1'(2(z0)), 2'(z0))
   3'(c_3(c_1(c_0(c_1(c_3(c_0(c_0(c_3(c_1(c_2(c_1(c_0(c_0(c_3(c_0(c_1(c_0(c_3(c_1(z0)))))))))))))))))))) -> c106(1'(3(3(3(3(2(3(2(2(0(3(1(0(0(1(3(0(3(3(1(z0)))))))))))))))))))), 3'(3(3(3(2(3(2(2(0(3(1(0(0(1(3(0(3(3(1(z0))))))))))))))))))), 3'(3(3(2(3(2(2(0(3(1(0(0(1(3(0(3(3(1(z0)))))))))))))))))), 3'(3(2(3(2(2(0(3(1(0(0(1(3(0(3(3(1(z0))))))))))))))))), 3'(2(3(2(2(0(3(1(0(0(1(3(0(3(3(1(z0)))))))))))))))), 2'(3(2(2(0(3(1(0(0(1(3(0(3(3(1(z0))))))))))))))), 3'(2(2(0(3(1(0(0(1(3(0(3(3(1(z0)))))))))))))), 2'(2(0(3(1(0(0(1(3(0(3(3(1(z0))))))))))))), 2'(0(3(1(0(0(1(3(0(3(3(1(z0)))))))))))), 0'(3(1(0(0(1(3(0(3(3(1(z0))))))))))), 3'(1(0(0(1(3(0(3(3(1(z0)))))))))), 1'(0(0(1(3(0(3(3(1(z0))))))))), 0'(0(1(3(0(3(3(1(z0)))))))), 0'(1(3(0(3(3(1(z0))))))), 1'(3(0(3(3(1(z0)))))), 3'(0(3(3(1(z0))))), 0'(3(3(1(z0)))), 3'(3(1(z0))), 3'(1(z0)), 1'(z0))
   3'(c_3(c_3(c_3(c_1(c_1(c_3(c_2(c_3(c_0(c_3(c_3(c_0(c_3(c_2(c_1(c_0(c_0(c_2(c_2(z0)))))))))))))))))))) -> c107(3'(3(0(3(0(0(3(3(3(1(3(1(1(0(3(0(2(0(1(2(z0)))))))))))))))))))), 3'(0(3(0(0(3(3(3(1(3(1(1(0(3(0(2(0(1(2(z0))))))))))))))))))), 0'(3(0(0(3(3(3(1(3(1(1(0(3(0(2(0(1(2(z0)))))))))))))))))), 3'(0(0(3(3(3(1(3(1(1(0(3(0(2(0(1(2(z0))))))))))))))))), 0'(0(3(3(3(1(3(1(1(0(3(0(2(0(1(2(z0)))))))))))))))), 0'(3(3(3(1(3(1(1(0(3(0(2(0(1(2(z0))))))))))))))), 3'(3(3(1(3(1(1(0(3(0(2(0(1(2(z0)))))))))))))), 3'(3(1(3(1(1(0(3(0(2(0(1(2(z0))))))))))))), 3'(1(3(1(1(0(3(0(2(0(1(2(z0)))))))))))), 1'(3(1(1(0(3(0(2(0(1(2(z0))))))))))), 3'(1(1(0(3(0(2(0(1(2(z0)))))))))), 1'(1(0(3(0(2(0(1(2(z0))))))))), 1'(0(3(0(2(0(1(2(z0)))))))), 0'(3(0(2(0(1(2(z0))))))), 3'(0(2(0(1(2(z0)))))), 0'(2(0(1(2(z0))))), 2'(0(1(2(z0)))), 0'(1(2(z0))), 1'(2(z0)), 2'(z0))
   3'(c_2(c_3(c_0(c_1(c_3(c_2(c_2(c_0(c_1(c_1(c_3(c_3(c_3(c_1(c_2(c_3(c_1(c_1(c_0(z0)))))))))))))))))))) -> c108(0'(0(0(0(3(2(3(1(1(1(0(1(0(0(3(3(0(2(3(1(z0)))))))))))))))))))), 0'(0(0(3(2(3(1(1(1(0(1(0(0(3(3(0(2(3(1(z0))))))))))))))))))), 0'(0(3(2(3(1(1(1(0(1(0(0(3(3(0(2(3(1(z0)))))))))))))))))), 0'(3(2(3(1(1(1(0(1(0(0(3(3(0(2(3(1(z0))))))))))))))))), 3'(2(3(1(1(1(0(1(0(0(3(3(0(2(3(1(z0)))))))))))))))), 2'(3(1(1(1(0(1(0(0(3(3(0(2(3(1(z0))))))))))))))), 3'(1(1(1(0(1(0(0(3(3(0(2(3(1(z0)))))))))))))), 1'(1(1(0(1(0(0(3(3(0(2(3(1(z0))))))))))))), 1'(1(0(1(0(0(3(3(0(2(3(1(z0)))))))))))), 1'(0(1(0(0(3(3(0(2(3(1(z0))))))))))), 0'(1(0(0(3(3(0(2(3(1(z0)))))))))), 1'(0(0(3(3(0(2(3(1(z0))))))))), 0'(0(3(3(0(2(3(1(z0)))))))), 0'(3(3(0(2(3(1(z0))))))), 3'(3(0(2(3(1(z0)))))), 3'(0(2(3(1(z0))))), 0'(2(3(1(z0)))), 2'(3(1(z0))), 3'(1(z0)), 1'(z0))
   3'(c_0(c_3(c_2(c_2(c_2(c_3(c_1(c_3(c_0(c_2(c_1(c_0(c_1(c_0(c_2(c_2(c_3(c_3(c_1(z0)))))))))))))))))))) -> c109(2'(3(0(0(3(1(2(0(3(3(0(0(0(3(3(3(1(0(2(2(z0)))))))))))))))))))), 3'(0(0(3(1(2(0(3(3(0(0(0(3(3(3(1(0(2(2(z0))))))))))))))))))), 0'(0(3(1(2(0(3(3(0(0(0(3(3(3(1(0(2(2(z0)))))))))))))))))), 0'(3(1(2(0(3(3(0(0(0(3(3(3(1(0(2(2(z0))))))))))))))))), 3'(1(2(0(3(3(0(0(0(3(3(3(1(0(2(2(z0)))))))))))))))), 1'(2(0(3(3(0(0(0(3(3(3(1(0(2(2(z0))))))))))))))), 2'(0(3(3(0(0(0(3(3(3(1(0(2(2(z0)))))))))))))), 0'(3(3(0(0(0(3(3(3(1(0(2(2(z0))))))))))))), 3'(3(0(0(0(3(3(3(1(0(2(2(z0)))))))))))), 3'(0(0(0(3(3(3(1(0(2(2(z0))))))))))), 0'(0(0(3(3(3(1(0(2(2(z0)))))))))), 0'(0(3(3(3(1(0(2(2(z0))))))))), 0'(3(3(3(1(0(2(2(z0)))))))), 3'(3(3(1(0(2(2(z0))))))), 3'(3(1(0(2(2(z0)))))), 3'(1(0(2(2(z0))))), 1'(0(2(2(z0)))), 0'(2(2(z0))), 2'(2(z0)), 2'(z0))
   3'(c_2(c_0(c_3(c_3(c_1(c_3(c_2(c_3(c_0(c_3(c_2(c_3(c_1(c_3(c_0(c_2(c_1(c_3(c_0(z0)))))))))))))))))))) -> c110(3'(3(3(0(2(3(3(0(2(0(3(3(3(3(1(0(0(1(3(0(z0)))))))))))))))))))), 3'(3(0(2(3(3(0(2(0(3(3(3(3(1(0(0(1(3(0(z0))))))))))))))))))), 3'(0(2(3(3(0(2(0(3(3(3(3(1(0(0(1(3(0(z0)))))))))))))))))), 0'(2(3(3(0(2(0(3(3(3(3(1(0(0(1(3(0(z0))))))))))))))))), 2'(3(3(0(2(0(3(3(3(3(1(0(0(1(3(0(z0)))))))))))))))), 3'(3(0(2(0(3(3(3(3(1(0(0(1(3(0(z0))))))))))))))), 3'(0(2(0(3(3(3(3(1(0(0(1(3(0(z0)))))))))))))), 0'(2(0(3(3(3(3(1(0(0(1(3(0(z0))))))))))))), 2'(0(3(3(3(3(1(0(0(1(3(0(z0)))))))))))), 0'(3(3(3(3(1(0(0(1(3(0(z0))))))))))), 3'(3(3(3(1(0(0(1(3(0(z0)))))))))), 3'(3(3(1(0(0(1(3(0(z0))))))))), 3'(3(1(0(0(1(3(0(z0)))))))), 3'(1(0(0(1(3(0(z0))))))), 1'(0(0(1(3(0(z0)))))), 0'(0(1(3(0(z0))))), 0'(1(3(0(z0)))), 1'(3(0(z0))), 3'(0(z0)), 0'(z0))
   ENCODE_0(z0) -> c8(0'(encArg(z0)))
   ENCODE_1(z0) -> c8(1'(encArg(z0)))
   ENCODE_2(z0) -> c8(2'(encArg(z0)))
   ENCODE_3(z0) -> c8(3'(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_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)))
S tuples:
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   3'(c_0(c_2(c_1(c_2(c_1(c_3(c_1(c_3(c_0(c_3(c_1(c_3(c_0(c_2(c_0(c_2(c_0(c_3(c_2(z0)))))))))))))))))))) -> c100(2'(2(3(1(3(1(3(3(1(3(3(0(0(2(1(2(3(3(3(2(z0)))))))))))))))))))), 2'(3(1(3(1(3(3(1(3(3(0(0(2(1(2(3(3(3(2(z0))))))))))))))))))), 3'(1(3(1(3(3(1(3(3(0(0(2(1(2(3(3(3(2(z0)))))))))))))))))), 1'(3(1(3(3(1(3(3(0(0(2(1(2(3(3(3(2(z0))))))))))))))))), 3'(1(3(3(1(3(3(0(0(2(1(2(3(3(3(2(z0)))))))))))))))), 1'(3(3(1(3(3(0(0(2(1(2(3(3(3(2(z0))))))))))))))), 3'(3(1(3(3(0(0(2(1(2(3(3(3(2(z0)))))))))))))), 3'(1(3(3(0(0(2(1(2(3(3(3(2(z0))))))))))))), 1'(3(3(0(0(2(1(2(3(3(3(2(z0)))))))))))), 3'(3(0(0(2(1(2(3(3(3(2(z0))))))))))), 3'(0(0(2(1(2(3(3(3(2(z0)))))))))), 0'(0(2(1(2(3(3(3(2(z0))))))))), 0'(2(1(2(3(3(3(2(z0)))))))), 2'(1(2(3(3(3(2(z0))))))), 1'(2(3(3(3(2(z0)))))), 2'(3(3(3(2(z0))))), 3'(3(3(2(z0)))), 3'(3(2(z0))), 3'(2(z0)), 2'(z0))
   3'(c_0(c_2(c_2(c_1(c_1(c_0(c_1(c_1(c_1(c_3(c_0(c_3(c_1(c_3(c_2(c_1(c_3(c_3(c_0(z0)))))))))))))))))))) -> c101(0'(0(0(0(1(3(3(1(1(3(1(3(0(1(0(3(3(1(1(3(z0)))))))))))))))))))), 0'(0(0(1(3(3(1(1(3(1(3(0(1(0(3(3(1(1(3(z0))))))))))))))))))), 0'(0(1(3(3(1(1(3(1(3(0(1(0(3(3(1(1(3(z0)))))))))))))))))), 0'(1(3(3(1(1(3(1(3(0(1(0(3(3(1(1(3(z0))))))))))))))))), 1'(3(3(1(1(3(1(3(0(1(0(3(3(1(1(3(z0)))))))))))))))), 3'(3(1(1(3(1(3(0(1(0(3(3(1(1(3(z0))))))))))))))), 3'(1(1(3(1(3(0(1(0(3(3(1(1(3(z0)))))))))))))), 1'(1(3(1(3(0(1(0(3(3(1(1(3(z0))))))))))))), 1'(3(1(3(0(1(0(3(3(1(1(3(z0)))))))))))), 3'(1(3(0(1(0(3(3(1(1(3(z0))))))))))), 1'(3(0(1(0(3(3(1(1(3(z0)))))))))), 3'(0(1(0(3(3(1(1(3(z0))))))))), 0'(1(0(3(3(1(1(3(z0)))))))), 1'(0(3(3(1(1(3(z0))))))), 0'(3(3(1(1(3(z0)))))), 3'(3(1(1(3(z0))))), 3'(1(1(3(z0)))), 1'(1(3(z0))), 1'(3(z0)), 3'(z0))
   3'(c_1(c_3(c_0(c_2(c_1(c_1(c_2(c_0(c_3(c_2(c_2(c_1(c_3(c_1(c_1(c_2(c_2(c_3(c_3(z0)))))))))))))))))))) -> c102(1'(0(0(1(3(0(1(1(2(0(3(3(3(3(0(0(3(0(3(2(z0)))))))))))))))))))), 0'(0(1(3(0(1(1(2(0(3(3(3(3(0(0(3(0(3(2(z0))))))))))))))))))), 0'(1(3(0(1(1(2(0(3(3(3(3(0(0(3(0(3(2(z0)))))))))))))))))), 1'(3(0(1(1(2(0(3(3(3(3(0(0(3(0(3(2(z0))))))))))))))))), 3'(0(1(1(2(0(3(3(3(3(0(0(3(0(3(2(z0)))))))))))))))), 0'(1(1(2(0(3(3(3(3(0(0(3(0(3(2(z0))))))))))))))), 1'(1(2(0(3(3(3(3(0(0(3(0(3(2(z0)))))))))))))), 1'(2(0(3(3(3(3(0(0(3(0(3(2(z0))))))))))))), 2'(0(3(3(3(3(0(0(3(0(3(2(z0)))))))))))), 0'(3(3(3(3(0(0(3(0(3(2(z0))))))))))), 3'(3(3(3(0(0(3(0(3(2(z0)))))))))), 3'(3(3(0(0(3(0(3(2(z0))))))))), 3'(3(0(0(3(0(3(2(z0)))))))), 3'(0(0(3(0(3(2(z0))))))), 0'(0(3(0(3(2(z0)))))), 0'(3(0(3(2(z0))))), 3'(0(3(2(z0)))), 0'(3(2(z0))), 3'(2(z0)), 2'(z0))
   3'(c_0(c_2(c_0(c_2(c_0(c_1(c_1(c_3(c_0(c_0(c_3(c_0(c_0(c_2(c_0(c_0(c_3(c_2(c_3(z0)))))))))))))))))))) -> c103(0'(3(2(2(0(3(3(3(1(1(0(0(3(0(2(2(1(1(3(3(z0)))))))))))))))))))), 3'(2(2(0(3(3(3(1(1(0(0(3(0(2(2(1(1(3(3(z0))))))))))))))))))), 2'(2(0(3(3(3(1(1(0(0(3(0(2(2(1(1(3(3(z0)))))))))))))))))), 2'(0(3(3(3(1(1(0(0(3(0(2(2(1(1(3(3(z0))))))))))))))))), 0'(3(3(3(1(1(0(0(3(0(2(2(1(1(3(3(z0)))))))))))))))), 3'(3(3(1(1(0(0(3(0(2(2(1(1(3(3(z0))))))))))))))), 3'(3(1(1(0(0(3(0(2(2(1(1(3(3(z0)))))))))))))), 3'(1(1(0(0(3(0(2(2(1(1(3(3(z0))))))))))))), 1'(1(0(0(3(0(2(2(1(1(3(3(z0)))))))))))), 1'(0(0(3(0(2(2(1(1(3(3(z0))))))))))), 0'(0(3(0(2(2(1(1(3(3(z0)))))))))), 0'(3(0(2(2(1(1(3(3(z0))))))))), 3'(0(2(2(1(1(3(3(z0)))))))), 0'(2(2(1(1(3(3(z0))))))), 2'(2(1(1(3(3(z0)))))), 2'(1(1(3(3(z0))))), 1'(1(3(3(z0)))), 1'(3(3(z0))), 3'(3(z0)), 3'(z0))
   3'(c_0(c_0(c_1(c_1(c_1(c_3(c_3(c_3(c_0(c_2(c_2(c_1(c_3(c_1(c_2(c_3(c_1(c_1(c_0(z0)))))))))))))))))))) -> c104(1'(3(0(2(1(3(3(2(0(2(3(1(3(0(3(0(0(2(1(0(z0)))))))))))))))))))), 3'(0(2(1(3(3(2(0(2(3(1(3(0(3(0(0(2(1(0(z0))))))))))))))))))), 0'(2(1(3(3(2(0(2(3(1(3(0(3(0(0(2(1(0(z0)))))))))))))))))), 2'(1(3(3(2(0(2(3(1(3(0(3(0(0(2(1(0(z0))))))))))))))))), 1'(3(3(2(0(2(3(1(3(0(3(0(0(2(1(0(z0)))))))))))))))), 3'(3(2(0(2(3(1(3(0(3(0(0(2(1(0(z0))))))))))))))), 3'(2(0(2(3(1(3(0(3(0(0(2(1(0(z0)))))))))))))), 2'(0(2(3(1(3(0(3(0(0(2(1(0(z0))))))))))))), 0'(2(3(1(3(0(3(0(0(2(1(0(z0)))))))))))), 2'(3(1(3(0(3(0(0(2(1(0(z0))))))))))), 3'(1(3(0(3(0(0(2(1(0(z0)))))))))), 1'(3(0(3(0(0(2(1(0(z0))))))))), 3'(0(3(0(0(2(1(0(z0)))))))), 0'(3(0(0(2(1(0(z0))))))), 3'(0(0(2(1(0(z0)))))), 0'(0(2(1(0(z0))))), 0'(2(1(0(z0)))), 2'(1(0(z0))), 1'(0(z0)), 0'(z0))
   3'(c_0(c_3(c_2(c_1(c_3(c_0(c_3(c_3(c_0(c_3(c_3(c_0(c_3(c_0(c_3(c_1(c_0(c_0(c_1(z0)))))))))))))))))))) -> c105(3'(3(3(3(2(3(0(1(0(0(0(3(3(1(3(3(3(1(1(2(z0)))))))))))))))))))), 3'(3(3(2(3(0(1(0(0(0(3(3(1(3(3(3(1(1(2(z0))))))))))))))))))), 3'(3(2(3(0(1(0(0(0(3(3(1(3(3(3(1(1(2(z0)))))))))))))))))), 3'(2(3(0(1(0(0(0(3(3(1(3(3(3(1(1(2(z0))))))))))))))))), 2'(3(0(1(0(0(0(3(3(1(3(3(3(1(1(2(z0)))))))))))))))), 3'(0(1(0(0(0(3(3(1(3(3(3(1(1(2(z0))))))))))))))), 0'(1(0(0(0(3(3(1(3(3(3(1(1(2(z0)))))))))))))), 1'(0(0(0(3(3(1(3(3(3(1(1(2(z0))))))))))))), 0'(0(0(3(3(1(3(3(3(1(1(2(z0)))))))))))), 0'(0(3(3(1(3(3(3(1(1(2(z0))))))))))), 0'(3(3(1(3(3(3(1(1(2(z0)))))))))), 3'(3(1(3(3(3(1(1(2(z0))))))))), 3'(1(3(3(3(1(1(2(z0)))))))), 1'(3(3(3(1(1(2(z0))))))), 3'(3(3(1(1(2(z0)))))), 3'(3(1(1(2(z0))))), 3'(1(1(2(z0)))), 1'(1(2(z0))), 1'(2(z0)), 2'(z0))
   3'(c_3(c_1(c_0(c_1(c_3(c_0(c_0(c_3(c_1(c_2(c_1(c_0(c_0(c_3(c_0(c_1(c_0(c_3(c_1(z0)))))))))))))))))))) -> c106(1'(3(3(3(3(2(3(2(2(0(3(1(0(0(1(3(0(3(3(1(z0)))))))))))))))))))), 3'(3(3(3(2(3(2(2(0(3(1(0(0(1(3(0(3(3(1(z0))))))))))))))))))), 3'(3(3(2(3(2(2(0(3(1(0(0(1(3(0(3(3(1(z0)))))))))))))))))), 3'(3(2(3(2(2(0(3(1(0(0(1(3(0(3(3(1(z0))))))))))))))))), 3'(2(3(2(2(0(3(1(0(0(1(3(0(3(3(1(z0)))))))))))))))), 2'(3(2(2(0(3(1(0(0(1(3(0(3(3(1(z0))))))))))))))), 3'(2(2(0(3(1(0(0(1(3(0(3(3(1(z0)))))))))))))), 2'(2(0(3(1(0(0(1(3(0(3(3(1(z0))))))))))))), 2'(0(3(1(0(0(1(3(0(3(3(1(z0)))))))))))), 0'(3(1(0(0(1(3(0(3(3(1(z0))))))))))), 3'(1(0(0(1(3(0(3(3(1(z0)))))))))), 1'(0(0(1(3(0(3(3(1(z0))))))))), 0'(0(1(3(0(3(3(1(z0)))))))), 0'(1(3(0(3(3(1(z0))))))), 1'(3(0(3(3(1(z0)))))), 3'(0(3(3(1(z0))))), 0'(3(3(1(z0)))), 3'(3(1(z0))), 3'(1(z0)), 1'(z0))
   3'(c_3(c_3(c_3(c_1(c_1(c_3(c_2(c_3(c_0(c_3(c_3(c_0(c_3(c_2(c_1(c_0(c_0(c_2(c_2(z0)))))))))))))))))))) -> c107(3'(3(0(3(0(0(3(3(3(1(3(1(1(0(3(0(2(0(1(2(z0)))))))))))))))))))), 3'(0(3(0(0(3(3(3(1(3(1(1(0(3(0(2(0(1(2(z0))))))))))))))))))), 0'(3(0(0(3(3(3(1(3(1(1(0(3(0(2(0(1(2(z0)))))))))))))))))), 3'(0(0(3(3(3(1(3(1(1(0(3(0(2(0(1(2(z0))))))))))))))))), 0'(0(3(3(3(1(3(1(1(0(3(0(2(0(1(2(z0)))))))))))))))), 0'(3(3(3(1(3(1(1(0(3(0(2(0(1(2(z0))))))))))))))), 3'(3(3(1(3(1(1(0(3(0(2(0(1(2(z0)))))))))))))), 3'(3(1(3(1(1(0(3(0(2(0(1(2(z0))))))))))))), 3'(1(3(1(1(0(3(0(2(0(1(2(z0)))))))))))), 1'(3(1(1(0(3(0(2(0(1(2(z0))))))))))), 3'(1(1(0(3(0(2(0(1(2(z0)))))))))), 1'(1(0(3(0(2(0(1(2(z0))))))))), 1'(0(3(0(2(0(1(2(z0)))))))), 0'(3(0(2(0(1(2(z0))))))), 3'(0(2(0(1(2(z0)))))), 0'(2(0(1(2(z0))))), 2'(0(1(2(z0)))), 0'(1(2(z0))), 1'(2(z0)), 2'(z0))
   3'(c_2(c_3(c_0(c_1(c_3(c_2(c_2(c_0(c_1(c_1(c_3(c_3(c_3(c_1(c_2(c_3(c_1(c_1(c_0(z0)))))))))))))))))))) -> c108(0'(0(0(0(3(2(3(1(1(1(0(1(0(0(3(3(0(2(3(1(z0)))))))))))))))))))), 0'(0(0(3(2(3(1(1(1(0(1(0(0(3(3(0(2(3(1(z0))))))))))))))))))), 0'(0(3(2(3(1(1(1(0(1(0(0(3(3(0(2(3(1(z0)))))))))))))))))), 0'(3(2(3(1(1(1(0(1(0(0(3(3(0(2(3(1(z0))))))))))))))))), 3'(2(3(1(1(1(0(1(0(0(3(3(0(2(3(1(z0)))))))))))))))), 2'(3(1(1(1(0(1(0(0(3(3(0(2(3(1(z0))))))))))))))), 3'(1(1(1(0(1(0(0(3(3(0(2(3(1(z0)))))))))))))), 1'(1(1(0(1(0(0(3(3(0(2(3(1(z0))))))))))))), 1'(1(0(1(0(0(3(3(0(2(3(1(z0)))))))))))), 1'(0(1(0(0(3(3(0(2(3(1(z0))))))))))), 0'(1(0(0(3(3(0(2(3(1(z0)))))))))), 1'(0(0(3(3(0(2(3(1(z0))))))))), 0'(0(3(3(0(2(3(1(z0)))))))), 0'(3(3(0(2(3(1(z0))))))), 3'(3(0(2(3(1(z0)))))), 3'(0(2(3(1(z0))))), 0'(2(3(1(z0)))), 2'(3(1(z0))), 3'(1(z0)), 1'(z0))
   3'(c_0(c_3(c_2(c_2(c_2(c_3(c_1(c_3(c_0(c_2(c_1(c_0(c_1(c_0(c_2(c_2(c_3(c_3(c_1(z0)))))))))))))))))))) -> c109(2'(3(0(0(3(1(2(0(3(3(0(0(0(3(3(3(1(0(2(2(z0)))))))))))))))))))), 3'(0(0(3(1(2(0(3(3(0(0(0(3(3(3(1(0(2(2(z0))))))))))))))))))), 0'(0(3(1(2(0(3(3(0(0(0(3(3(3(1(0(2(2(z0)))))))))))))))))), 0'(3(1(2(0(3(3(0(0(0(3(3(3(1(0(2(2(z0))))))))))))))))), 3'(1(2(0(3(3(0(0(0(3(3(3(1(0(2(2(z0)))))))))))))))), 1'(2(0(3(3(0(0(0(3(3(3(1(0(2(2(z0))))))))))))))), 2'(0(3(3(0(0(0(3(3(3(1(0(2(2(z0)))))))))))))), 0'(3(3(0(0(0(3(3(3(1(0(2(2(z0))))))))))))), 3'(3(0(0(0(3(3(3(1(0(2(2(z0)))))))))))), 3'(0(0(0(3(3(3(1(0(2(2(z0))))))))))), 0'(0(0(3(3(3(1(0(2(2(z0)))))))))), 0'(0(3(3(3(1(0(2(2(z0))))))))), 0'(3(3(3(1(0(2(2(z0)))))))), 3'(3(3(1(0(2(2(z0))))))), 3'(3(1(0(2(2(z0)))))), 3'(1(0(2(2(z0))))), 1'(0(2(2(z0)))), 0'(2(2(z0))), 2'(2(z0)), 2'(z0))
   3'(c_2(c_0(c_3(c_3(c_1(c_3(c_2(c_3(c_0(c_3(c_2(c_3(c_1(c_3(c_0(c_2(c_1(c_3(c_0(z0)))))))))))))))))))) -> c110(3'(3(3(0(2(3(3(0(2(0(3(3(3(3(1(0(0(1(3(0(z0)))))))))))))))))))), 3'(3(0(2(3(3(0(2(0(3(3(3(3(1(0(0(1(3(0(z0))))))))))))))))))), 3'(0(2(3(3(0(2(0(3(3(3(3(1(0(0(1(3(0(z0)))))))))))))))))), 0'(2(3(3(0(2(0(3(3(3(3(1(0(0(1(3(0(z0))))))))))))))))), 2'(3(3(0(2(0(3(3(3(3(1(0(0(1(3(0(z0)))))))))))))))), 3'(3(0(2(0(3(3(3(3(1(0(0(1(3(0(z0))))))))))))))), 3'(0(2(0(3(3(3(3(1(0(0(1(3(0(z0)))))))))))))), 0'(2(0(3(3(3(3(1(0(0(1(3(0(z0))))))))))))), 2'(0(3(3(3(3(1(0(0(1(3(0(z0)))))))))))), 0'(3(3(3(3(1(0(0(1(3(0(z0))))))))))), 3'(3(3(3(1(0(0(1(3(0(z0)))))))))), 3'(3(3(1(0(0(1(3(0(z0))))))))), 3'(3(1(0(0(1(3(0(z0)))))))), 3'(1(0(0(1(3(0(z0))))))), 1'(0(0(1(3(0(z0)))))), 0'(0(1(3(0(z0))))), 0'(1(3(0(z0)))), 1'(3(0(z0))), 3'(0(z0)), 0'(z0))
K tuples:none
Defined Rule Symbols:   encArg_1, 0_1, 1_1, 2_1, 3_1

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

Compound Symbols:   c2_2, c3_2, c9_20, c10_20, 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_20, c33_20, c34_20, c35_20, c37_20, c38_20, c39_20, c40_20, c41_20, c42_20, c43_20, c44_20, c45_20, c46_20, c47_20, c48_20, c49_20, c50_20, c51_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_20, c73_20, c74_20, c75_20, c76_20, c77_20, c78_20, c79_20, c80_20, c81_20, c82_20, c83_20, c84_20, c85_20, c86_20, c87_20, c88_20, c90_20, c91_20, c92_20, c93_20, c94_20, c95_20, c96_20, c97_20, c98_20, c99_20, c100_20, c101_20, c102_20, c103_20, c104_20, c105_20, c106_20, c107_20, c108_20, c109_20, c110_20, c8_1, c_2, c1_2


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

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

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

(52)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(cons_0(z0)) -> 0(encArg(z0))
   encArg(cons_1(z0)) -> 1(encArg(z0))
   encArg(cons_2(z0)) -> 2(encArg(z0))
   encArg(cons_3(z0)) -> 3(encArg(z0))
   0(z0) -> c_0(z0)
   0(c_1(c_1(c_1(c_0(c_0(c_0(c_0(c_0(c_0(c_3(c_0(c_1(c_0(c_1(c_0(c_2(c_0(c_3(c_1(z0)))))))))))))))))))) -> 1(0(2(1(3(0(1(0(2(3(0(0(3(3(0(1(0(0(1(0(z0))))))))))))))))))))
   0(c_0(c_1(c_2(c_3(c_0(c_1(c_0(c_3(c_0(c_3(c_1(c_1(c_1(c_0(c_1(c_3(c_3(c_2(c_3(z0)))))))))))))))))))) -> 3(0(3(1(1(0(2(3(0(3(3(1(3(1(0(3(0(1(2(3(z0))))))))))))))))))))
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   1(z0) -> c_1(z0)
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   2(c_3(c_2(c_3(c_1(c_0(c_0(c_1(c_0(c_2(c_0(c_0(c_1(c_3(c_3(c_1(c_0(c_0(c_0(c_0(z0)))))))))))))))))))) -> 1(2(0(3(3(3(0(2(2(0(1(0(0(1(2(2(1(3(3(0(z0))))))))))))))))))))
   2(c_3(c_2(c_3(c_0(c_3(c_0(c_3(c_3(c_3(c_0(c_1(c_1(c_1(c_0(c_3(c_1(c_2(c_1(c_1(z0)))))))))))))))))))) -> 0(3(1(3(1(3(1(3(0(1(0(0(3(3(3(2(0(2(3(2(z0))))))))))))))))))))
   2(c_0(c_2(c_0(c_0(c_3(c_1(c_0(c_0(c_2(c_3(c_3(c_1(c_0(c_3(c_2(c_1(c_0(c_0(c_3(z0)))))))))))))))))))) -> 1(3(0(1(2(0(2(2(3(1(3(3(3(3(3(3(0(3(0(3(z0))))))))))))))))))))
   2(c_2(c_3(c_1(c_1(c_1(c_1(c_3(c_1(c_3(c_1(c_1(c_0(c_0(c_0(c_0(c_3(c_1(c_2(c_3(z0)))))))))))))))))))) -> 3(2(0(0(0(1(3(1(3(3(1(3(0(0(2(3(0(1(1(1(z0))))))))))))))))))))
   2(c_1(c_0(c_1(c_3(c_3(c_1(c_0(c_2(c_3(c_0(c_0(c_0(c_2(c_3(c_1(c_0(c_0(c_3(c_3(z0)))))))))))))))))))) -> 2(0(1(3(2(1(3(1(3(1(1(3(3(1(3(3(0(0(3(3(z0))))))))))))))))))))
   2(c_1(c_1(c_3(c_3(c_1(c_0(c_2(c_2(c_2(c_2(c_2(c_3(c_0(c_1(c_0(c_2(c_2(c_3(c_3(z0)))))))))))))))))))) -> 0(3(0(3(1(3(0(3(3(1(3(3(0(3(1(3(3(0(3(1(z0))))))))))))))))))))
   2(c_2(c_3(c_3(c_2(c_2(c_2(c_2(c_3(c_0(c_2(c_3(c_0(c_2(c_0(c_1(c_1(c_3(c_3(c_1(z0)))))))))))))))))))) -> 2(2(2(0(0(1(0(0(1(3(3(3(3(3(2(1(0(0(0(3(z0))))))))))))))))))))
   2(c_1(c_3(c_3(c_1(c_1(c_3(c_2(c_1(c_3(c_3(c_1(c_1(c_0(c_2(c_2(c_3(c_0(c_0(c_0(z0)))))))))))))))))))) -> 2(0(0(0(1(0(0(3(1(1(1(3(0(0(3(0(1(3(3(2(z0))))))))))))))))))))
   2(c_1(c_1(c_0(c_3(c_0(c_1(c_2(c_3(c_3(c_1(c_1(c_1(c_3(c_0(c_0(c_3(c_1(c_3(c_0(z0)))))))))))))))))))) -> 2(2(0(3(2(0(0(1(2(1(1(3(1(3(3(0(3(3(3(0(z0))))))))))))))))))))
   2(c_0(c_1(c_0(c_1(c_3(c_2(c_3(c_0(c_0(c_2(c_1(c_0(c_2(c_0(c_3(c_1(c_0(c_2(c_3(z0)))))))))))))))))))) -> 3(3(3(0(3(3(2(3(1(3(1(3(3(0(3(3(0(2(1(0(z0))))))))))))))))))))
   2(c_0(c_3(c_1(c_3(c_3(c_3(c_1(c_2(c_3(c_0(c_1(c_2(c_2(c_3(c_2(c_1(c_0(c_3(c_1(z0)))))))))))))))))))) -> 1(0(3(3(1(3(0(1(2(3(0(1(0(3(3(0(3(2(1(1(z0))))))))))))))))))))
   2(c_3(c_0(c_3(c_3(c_2(c_3(c_0(c_1(c_3(c_2(c_2(c_3(c_3(c_0(c_2(c_2(c_0(c_1(c_2(z0)))))))))))))))))))) -> 2(0(1(3(0(2(2(3(2(0(3(3(2(0(3(1(0(3(0(2(z0))))))))))))))))))))
   2(c_3(c_2(c_2(c_0(c_3(c_3(c_1(c_1(c_1(c_3(c_0(c_0(c_1(c_0(c_0(c_2(c_3(c_0(c_3(z0)))))))))))))))))))) -> 2(3(1(1(0(3(2(2(1(3(0(3(3(2(0(0(1(1(3(3(z0))))))))))))))))))))
   2(c_0(c_1(c_0(c_2(c_2(c_0(c_3(c_0(c_2(c_2(c_3(c_3(c_2(c_1(c_3(c_0(c_2(c_3(c_1(z0)))))))))))))))))))) -> 2(3(3(0(3(0(0(2(3(3(1(1(3(3(0(1(2(3(2(0(z0))))))))))))))))))))
   2(c_0(c_0(c_2(c_1(c_2(c_1(c_1(c_3(c_0(c_2(c_3(c_2(c_1(c_3(c_3(c_1(c_3(c_2(c_3(z0)))))))))))))))))))) -> 2(2(3(1(1(0(1(0(1(1(0(1(0(3(3(1(3(3(3(1(z0))))))))))))))))))))
   2(c_1(c_1(c_1(c_0(c_1(c_3(c_1(c_0(c_3(c_2(c_3(c_0(c_0(c_0(c_3(c_1(c_1(c_0(c_3(z0)))))))))))))))))))) -> 1(1(1(0(1(1(2(0(2(1(0(0(3(3(0(2(0(3(0(3(z0))))))))))))))))))))
   2(c_1(c_3(c_1(c_3(c_3(c_1(c_1(c_1(c_1(c_1(c_1(c_0(c_2(c_3(c_2(c_3(c_0(c_0(c_3(z0)))))))))))))))))))) -> 1(3(0(0(2(0(0(2(0(3(2(2(0(1(3(3(3(0(0(3(z0))))))))))))))))))))
   2(c_1(c_0(c_3(c_0(c_2(c_0(c_2(c_1(c_3(c_3(c_3(c_1(c_1(c_1(c_0(c_0(c_3(c_3(c_2(z0)))))))))))))))))))) -> 2(2(1(3(0(0(1(3(0(3(3(0(3(3(1(0(1(1(0(1(z0))))))))))))))))))))
   2(c_3(c_1(c_2(c_0(c_3(c_2(c_0(c_2(c_3(c_3(c_0(c_2(c_0(c_0(c_1(c_0(c_1(c_0(c_3(z0)))))))))))))))))))) -> 0(3(1(3(0(3(3(0(1(0(0(3(2(0(0(0(3(3(2(3(z0))))))))))))))))))))
   2(c_2(c_3(c_2(c_0(c_0(c_3(c_0(c_3(c_3(c_2(c_2(c_2(c_0(c_2(c_3(c_3(c_3(c_3(c_2(z0)))))))))))))))))))) -> 1(0(3(1(2(3(3(2(3(3(3(3(0(1(3(1(0(3(0(3(z0))))))))))))))))))))
   2(c_2(c_3(c_3(c_0(c_2(c_2(c_0(c_1(c_3(c_1(c_3(c_3(c_0(c_3(c_2(c_2(c_2(c_1(c_2(z0)))))))))))))))))))) -> 2(0(0(0(3(0(3(1(3(2(0(0(1(1(3(0(0(3(2(3(z0))))))))))))))))))))
   3(z0) -> c_3(z0)
   3(c_3(c_0(c_2(c_2(c_3(c_3(c_1(c_2(c_2(c_0(c_0(c_3(c_2(c_0(c_2(c_1(c_0(c_3(c_3(z0)))))))))))))))))))) -> 1(0(2(1(1(3(2(1(1(3(0(3(3(1(1(3(1(3(3(3(z0))))))))))))))))))))
   3(c_3(c_1(c_0(c_3(c_1(c_0(c_3(c_1(c_1(c_3(c_3(c_1(c_3(c_0(c_2(c_2(c_3(c_1(c_1(z0)))))))))))))))))))) -> 0(0(3(0(2(1(3(3(0(0(3(2(0(0(3(0(2(2(0(0(z0))))))))))))))))))))
   3(c_3(c_2(c_1(c_3(c_1(c_3(c_0(c_2(c_0(c_3(c_1(c_2(c_1(c_3(c_2(c_1(c_3(c_2(c_3(z0)))))))))))))))))))) -> 2(3(3(2(2(2(0(3(1(2(3(3(3(3(0(1(3(2(0(3(z0))))))))))))))))))))
   3(c_0(c_1(c_0(c_1(c_2(c_3(c_2(c_1(c_1(c_0(c_1(c_1(c_3(c_0(c_3(c_3(c_2(c_1(c_3(z0)))))))))))))))))))) -> 0(3(0(0(2(3(0(2(2(1(0(1(2(0(1(3(1(3(1(3(z0))))))))))))))))))))
   3(c_3(c_0(c_3(c_3(c_0(c_1(c_2(c_1(c_1(c_0(c_3(c_3(c_0(c_2(c_0(c_0(c_2(c_2(c_1(z0)))))))))))))))))))) -> 3(3(3(3(1(3(3(1(1(3(1(2(3(3(3(2(2(0(2(1(z0))))))))))))))))))))
   3(c_0(c_3(c_3(c_3(c_3(c_1(c_3(c_2(c_0(c_1(c_0(c_1(c_0(c_3(c_3(c_0(c_0(c_1(c_1(z0)))))))))))))))))))) -> 3(3(2(3(3(3(2(3(3(0(1(1(0(3(3(3(0(3(3(0(z0))))))))))))))))))))
   3(c_1(c_0(c_1(c_1(c_1(c_3(c_1(c_0(c_0(c_0(c_2(c_1(c_0(c_1(c_2(c_0(c_0(c_0(c_3(z0)))))))))))))))))))) -> 0(3(0(2(2(0(1(0(1(0(0(2(2(3(2(3(0(1(0(3(z0))))))))))))))))))))
   3(c_3(c_0(c_2(c_3(c_3(c_0(c_1(c_3(c_0(c_0(c_1(c_2(c_2(c_2(c_2(c_3(c_3(c_2(c_1(z0)))))))))))))))))))) -> 3(1(3(3(1(0(3(0(3(0(2(3(3(1(0(1(0(3(1(0(z0))))))))))))))))))))
   3(c_1(c_2(c_3(c_2(c_2(c_2(c_3(c_3(c_0(c_1(c_3(c_0(c_1(c_1(c_1(c_0(c_0(c_0(c_3(z0)))))))))))))))))))) -> 1(2(1(3(1(3(3(3(3(2(1(1(2(3(0(0(3(3(0(0(z0))))))))))))))))))))
   3(c_1(c_1(c_3(c_2(c_3(c_3(c_3(c_1(c_0(c_1(c_2(c_0(c_3(c_0(c_0(c_0(c_1(c_2(c_3(z0)))))))))))))))))))) -> 3(3(3(0(3(3(1(0(2(3(0(0(2(2(3(3(0(3(2(0(z0))))))))))))))))))))
   3(c_0(c_2(c_1(c_2(c_1(c_3(c_1(c_3(c_0(c_3(c_1(c_3(c_0(c_2(c_0(c_2(c_0(c_3(c_2(z0)))))))))))))))))))) -> 2(2(3(1(3(1(3(3(1(3(3(0(0(2(1(2(3(3(3(2(z0))))))))))))))))))))
   3(c_0(c_2(c_2(c_1(c_1(c_0(c_1(c_1(c_1(c_3(c_0(c_3(c_1(c_3(c_2(c_1(c_3(c_3(c_0(z0)))))))))))))))))))) -> 0(0(0(0(1(3(3(1(1(3(1(3(0(1(0(3(3(1(1(3(z0))))))))))))))))))))
   3(c_1(c_3(c_0(c_2(c_1(c_1(c_2(c_0(c_3(c_2(c_2(c_1(c_3(c_1(c_1(c_2(c_2(c_3(c_3(z0)))))))))))))))))))) -> 1(0(0(1(3(0(1(1(2(0(3(3(3(3(0(0(3(0(3(2(z0))))))))))))))))))))
   3(c_0(c_2(c_0(c_2(c_0(c_1(c_1(c_3(c_0(c_0(c_3(c_0(c_0(c_2(c_0(c_0(c_3(c_2(c_3(z0)))))))))))))))))))) -> 0(3(2(2(0(3(3(3(1(1(0(0(3(0(2(2(1(1(3(3(z0))))))))))))))))))))
   3(c_0(c_0(c_1(c_1(c_1(c_3(c_3(c_3(c_0(c_2(c_2(c_1(c_3(c_1(c_2(c_3(c_1(c_1(c_0(z0)))))))))))))))))))) -> 1(3(0(2(1(3(3(2(0(2(3(1(3(0(3(0(0(2(1(0(z0))))))))))))))))))))
   3(c_0(c_3(c_2(c_1(c_3(c_0(c_3(c_3(c_0(c_3(c_3(c_0(c_3(c_0(c_3(c_1(c_0(c_0(c_1(z0)))))))))))))))))))) -> 3(3(3(3(2(3(0(1(0(0(0(3(3(1(3(3(3(1(1(2(z0))))))))))))))))))))
   3(c_3(c_1(c_0(c_1(c_3(c_0(c_0(c_3(c_1(c_2(c_1(c_0(c_0(c_3(c_0(c_1(c_0(c_3(c_1(z0)))))))))))))))))))) -> 1(3(3(3(3(2(3(2(2(0(3(1(0(0(1(3(0(3(3(1(z0))))))))))))))))))))
   3(c_3(c_3(c_3(c_1(c_1(c_3(c_2(c_3(c_0(c_3(c_3(c_0(c_3(c_2(c_1(c_0(c_0(c_2(c_2(z0)))))))))))))))))))) -> 3(3(0(3(0(0(3(3(3(1(3(1(1(0(3(0(2(0(1(2(z0))))))))))))))))))))
   3(c_2(c_3(c_0(c_1(c_3(c_2(c_2(c_0(c_1(c_1(c_3(c_3(c_3(c_1(c_2(c_3(c_1(c_1(c_0(z0)))))))))))))))))))) -> 0(0(0(0(3(2(3(1(1(1(0(1(0(0(3(3(0(2(3(1(z0))))))))))))))))))))
   3(c_0(c_3(c_2(c_2(c_2(c_3(c_1(c_3(c_0(c_2(c_1(c_0(c_1(c_0(c_2(c_2(c_3(c_3(c_1(z0)))))))))))))))))))) -> 2(3(0(0(3(1(2(0(3(3(0(0(0(3(3(3(1(0(2(2(z0))))))))))))))))))))
   3(c_2(c_0(c_3(c_3(c_1(c_3(c_2(c_3(c_0(c_3(c_2(c_3(c_1(c_3(c_0(c_2(c_1(c_3(c_0(z0)))))))))))))))))))) -> 3(3(3(0(2(3(3(0(2(0(3(3(3(3(1(0(0(1(3(0(z0))))))))))))))))))))
Tuples:
   ENCARG(cons_3(z0)) -> c3(3'(encArg(z0)), ENCARG(z0))
   0'(c_1(c_1(c_1(c_0(c_0(c_0(c_0(c_0(c_0(c_3(c_0(c_1(c_0(c_1(c_0(c_2(c_0(c_3(c_1(z0)))))))))))))))))))) -> c9(1'(0(2(1(3(0(1(0(2(3(0(0(3(3(0(1(0(0(1(0(z0)))))))))))))))))))), 0'(2(1(3(0(1(0(2(3(0(0(3(3(0(1(0(0(1(0(z0))))))))))))))))))), 2'(1(3(0(1(0(2(3(0(0(3(3(0(1(0(0(1(0(z0)))))))))))))))))), 1'(3(0(1(0(2(3(0(0(3(3(0(1(0(0(1(0(z0))))))))))))))))), 3'(0(1(0(2(3(0(0(3(3(0(1(0(0(1(0(z0)))))))))))))))), 0'(1(0(2(3(0(0(3(3(0(1(0(0(1(0(z0))))))))))))))), 1'(0(2(3(0(0(3(3(0(1(0(0(1(0(z0)))))))))))))), 0'(2(3(0(0(3(3(0(1(0(0(1(0(z0))))))))))))), 2'(3(0(0(3(3(0(1(0(0(1(0(z0)))))))))))), 3'(0(0(3(3(0(1(0(0(1(0(z0))))))))))), 0'(0(3(3(0(1(0(0(1(0(z0)))))))))), 0'(3(3(0(1(0(0(1(0(z0))))))))), 3'(3(0(1(0(0(1(0(z0)))))))), 3'(0(1(0(0(1(0(z0))))))), 0'(1(0(0(1(0(z0)))))), 1'(0(0(1(0(z0))))), 0'(0(1(0(z0)))), 0'(1(0(z0))), 1'(0(z0)), 0'(z0))
   0'(c_0(c_1(c_2(c_3(c_0(c_1(c_0(c_3(c_0(c_3(c_1(c_1(c_1(c_0(c_1(c_3(c_3(c_2(c_3(z0)))))))))))))))))))) -> c10(3'(0(3(1(1(0(2(3(0(3(3(1(3(1(0(3(0(1(2(3(z0)))))))))))))))))))), 0'(3(1(1(0(2(3(0(3(3(1(3(1(0(3(0(1(2(3(z0))))))))))))))))))), 3'(1(1(0(2(3(0(3(3(1(3(1(0(3(0(1(2(3(z0)))))))))))))))))), 1'(1(0(2(3(0(3(3(1(3(1(0(3(0(1(2(3(z0))))))))))))))))), 1'(0(2(3(0(3(3(1(3(1(0(3(0(1(2(3(z0)))))))))))))))), 0'(2(3(0(3(3(1(3(1(0(3(0(1(2(3(z0))))))))))))))), 2'(3(0(3(3(1(3(1(0(3(0(1(2(3(z0)))))))))))))), 3'(0(3(3(1(3(1(0(3(0(1(2(3(z0))))))))))))), 0'(3(3(1(3(1(0(3(0(1(2(3(z0)))))))))))), 3'(3(1(3(1(0(3(0(1(2(3(z0))))))))))), 3'(1(3(1(0(3(0(1(2(3(z0)))))))))), 1'(3(1(0(3(0(1(2(3(z0))))))))), 3'(1(0(3(0(1(2(3(z0)))))))), 1'(0(3(0(1(2(3(z0))))))), 0'(3(0(1(2(3(z0)))))), 3'(0(1(2(3(z0))))), 0'(1(2(3(z0)))), 1'(2(3(z0))), 2'(3(z0)), 3'(z0))
   0'(c_2(c_0(c_3(c_1(c_1(c_3(c_2(c_3(c_3(c_0(c_2(c_2(c_0(c_2(c_3(c_0(c_0(c_2(c_3(z0)))))))))))))))))))) -> c11(0'(0(3(3(2(3(3(3(0(1(1(1(2(2(3(1(3(1(1(3(z0)))))))))))))))))))), 0'(3(3(2(3(3(3(0(1(1(1(2(2(3(1(3(1(1(3(z0))))))))))))))))))), 3'(3(2(3(3(3(0(1(1(1(2(2(3(1(3(1(1(3(z0)))))))))))))))))), 3'(2(3(3(3(0(1(1(1(2(2(3(1(3(1(1(3(z0))))))))))))))))), 2'(3(3(3(0(1(1(1(2(2(3(1(3(1(1(3(z0)))))))))))))))), 3'(3(3(0(1(1(1(2(2(3(1(3(1(1(3(z0))))))))))))))), 3'(3(0(1(1(1(2(2(3(1(3(1(1(3(z0)))))))))))))), 3'(0(1(1(1(2(2(3(1(3(1(1(3(z0))))))))))))), 0'(1(1(1(2(2(3(1(3(1(1(3(z0)))))))))))), 1'(1(1(2(2(3(1(3(1(1(3(z0))))))))))), 1'(1(2(2(3(1(3(1(1(3(z0)))))))))), 1'(2(2(3(1(3(1(1(3(z0))))))))), 2'(2(3(1(3(1(1(3(z0)))))))), 2'(3(1(3(1(1(3(z0))))))), 3'(1(3(1(1(3(z0)))))), 1'(3(1(1(3(z0))))), 3'(1(1(3(z0)))), 1'(1(3(z0))), 1'(3(z0)), 3'(z0))
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   3'(c_1(c_3(c_0(c_2(c_1(c_1(c_2(c_0(c_3(c_2(c_2(c_1(c_3(c_1(c_1(c_2(c_2(c_3(c_3(z0)))))))))))))))))))) -> c102(1'(0(0(1(3(0(1(1(2(0(3(3(3(3(0(0(3(0(3(2(z0)))))))))))))))))))), 0'(0(1(3(0(1(1(2(0(3(3(3(3(0(0(3(0(3(2(z0))))))))))))))))))), 0'(1(3(0(1(1(2(0(3(3(3(3(0(0(3(0(3(2(z0)))))))))))))))))), 1'(3(0(1(1(2(0(3(3(3(3(0(0(3(0(3(2(z0))))))))))))))))), 3'(0(1(1(2(0(3(3(3(3(0(0(3(0(3(2(z0)))))))))))))))), 0'(1(1(2(0(3(3(3(3(0(0(3(0(3(2(z0))))))))))))))), 1'(1(2(0(3(3(3(3(0(0(3(0(3(2(z0)))))))))))))), 1'(2(0(3(3(3(3(0(0(3(0(3(2(z0))))))))))))), 2'(0(3(3(3(3(0(0(3(0(3(2(z0)))))))))))), 0'(3(3(3(3(0(0(3(0(3(2(z0))))))))))), 3'(3(3(3(0(0(3(0(3(2(z0)))))))))), 3'(3(3(0(0(3(0(3(2(z0))))))))), 3'(3(0(0(3(0(3(2(z0)))))))), 3'(0(0(3(0(3(2(z0))))))), 0'(0(3(0(3(2(z0)))))), 0'(3(0(3(2(z0))))), 3'(0(3(2(z0)))), 0'(3(2(z0))), 3'(2(z0)), 2'(z0))
   3'(c_0(c_2(c_0(c_2(c_0(c_1(c_1(c_3(c_0(c_0(c_3(c_0(c_0(c_2(c_0(c_0(c_3(c_2(c_3(z0)))))))))))))))))))) -> c103(0'(3(2(2(0(3(3(3(1(1(0(0(3(0(2(2(1(1(3(3(z0)))))))))))))))))))), 3'(2(2(0(3(3(3(1(1(0(0(3(0(2(2(1(1(3(3(z0))))))))))))))))))), 2'(2(0(3(3(3(1(1(0(0(3(0(2(2(1(1(3(3(z0)))))))))))))))))), 2'(0(3(3(3(1(1(0(0(3(0(2(2(1(1(3(3(z0))))))))))))))))), 0'(3(3(3(1(1(0(0(3(0(2(2(1(1(3(3(z0)))))))))))))))), 3'(3(3(1(1(0(0(3(0(2(2(1(1(3(3(z0))))))))))))))), 3'(3(1(1(0(0(3(0(2(2(1(1(3(3(z0)))))))))))))), 3'(1(1(0(0(3(0(2(2(1(1(3(3(z0))))))))))))), 1'(1(0(0(3(0(2(2(1(1(3(3(z0)))))))))))), 1'(0(0(3(0(2(2(1(1(3(3(z0))))))))))), 0'(0(3(0(2(2(1(1(3(3(z0)))))))))), 0'(3(0(2(2(1(1(3(3(z0))))))))), 3'(0(2(2(1(1(3(3(z0)))))))), 0'(2(2(1(1(3(3(z0))))))), 2'(2(1(1(3(3(z0)))))), 2'(1(1(3(3(z0))))), 1'(1(3(3(z0)))), 1'(3(3(z0))), 3'(3(z0)), 3'(z0))
   3'(c_0(c_0(c_1(c_1(c_1(c_3(c_3(c_3(c_0(c_2(c_2(c_1(c_3(c_1(c_2(c_3(c_1(c_1(c_0(z0)))))))))))))))))))) -> c104(1'(3(0(2(1(3(3(2(0(2(3(1(3(0(3(0(0(2(1(0(z0)))))))))))))))))))), 3'(0(2(1(3(3(2(0(2(3(1(3(0(3(0(0(2(1(0(z0))))))))))))))))))), 0'(2(1(3(3(2(0(2(3(1(3(0(3(0(0(2(1(0(z0)))))))))))))))))), 2'(1(3(3(2(0(2(3(1(3(0(3(0(0(2(1(0(z0))))))))))))))))), 1'(3(3(2(0(2(3(1(3(0(3(0(0(2(1(0(z0)))))))))))))))), 3'(3(2(0(2(3(1(3(0(3(0(0(2(1(0(z0))))))))))))))), 3'(2(0(2(3(1(3(0(3(0(0(2(1(0(z0)))))))))))))), 2'(0(2(3(1(3(0(3(0(0(2(1(0(z0))))))))))))), 0'(2(3(1(3(0(3(0(0(2(1(0(z0)))))))))))), 2'(3(1(3(0(3(0(0(2(1(0(z0))))))))))), 3'(1(3(0(3(0(0(2(1(0(z0)))))))))), 1'(3(0(3(0(0(2(1(0(z0))))))))), 3'(0(3(0(0(2(1(0(z0)))))))), 0'(3(0(0(2(1(0(z0))))))), 3'(0(0(2(1(0(z0)))))), 0'(0(2(1(0(z0))))), 0'(2(1(0(z0)))), 2'(1(0(z0))), 1'(0(z0)), 0'(z0))
   3'(c_0(c_3(c_2(c_1(c_3(c_0(c_3(c_3(c_0(c_3(c_3(c_0(c_3(c_0(c_3(c_1(c_0(c_0(c_1(z0)))))))))))))))))))) -> c105(3'(3(3(3(2(3(0(1(0(0(0(3(3(1(3(3(3(1(1(2(z0)))))))))))))))))))), 3'(3(3(2(3(0(1(0(0(0(3(3(1(3(3(3(1(1(2(z0))))))))))))))))))), 3'(3(2(3(0(1(0(0(0(3(3(1(3(3(3(1(1(2(z0)))))))))))))))))), 3'(2(3(0(1(0(0(0(3(3(1(3(3(3(1(1(2(z0))))))))))))))))), 2'(3(0(1(0(0(0(3(3(1(3(3(3(1(1(2(z0)))))))))))))))), 3'(0(1(0(0(0(3(3(1(3(3(3(1(1(2(z0))))))))))))))), 0'(1(0(0(0(3(3(1(3(3(3(1(1(2(z0)))))))))))))), 1'(0(0(0(3(3(1(3(3(3(1(1(2(z0))))))))))))), 0'(0(0(3(3(1(3(3(3(1(1(2(z0)))))))))))), 0'(0(3(3(1(3(3(3(1(1(2(z0))))))))))), 0'(3(3(1(3(3(3(1(1(2(z0)))))))))), 3'(3(1(3(3(3(1(1(2(z0))))))))), 3'(1(3(3(3(1(1(2(z0)))))))), 1'(3(3(3(1(1(2(z0))))))), 3'(3(3(1(1(2(z0)))))), 3'(3(1(1(2(z0))))), 3'(1(1(2(z0)))), 1'(1(2(z0))), 1'(2(z0)), 2'(z0))
   3'(c_3(c_1(c_0(c_1(c_3(c_0(c_0(c_3(c_1(c_2(c_1(c_0(c_0(c_3(c_0(c_1(c_0(c_3(c_1(z0)))))))))))))))))))) -> c106(1'(3(3(3(3(2(3(2(2(0(3(1(0(0(1(3(0(3(3(1(z0)))))))))))))))))))), 3'(3(3(3(2(3(2(2(0(3(1(0(0(1(3(0(3(3(1(z0))))))))))))))))))), 3'(3(3(2(3(2(2(0(3(1(0(0(1(3(0(3(3(1(z0)))))))))))))))))), 3'(3(2(3(2(2(0(3(1(0(0(1(3(0(3(3(1(z0))))))))))))))))), 3'(2(3(2(2(0(3(1(0(0(1(3(0(3(3(1(z0)))))))))))))))), 2'(3(2(2(0(3(1(0(0(1(3(0(3(3(1(z0))))))))))))))), 3'(2(2(0(3(1(0(0(1(3(0(3(3(1(z0)))))))))))))), 2'(2(0(3(1(0(0(1(3(0(3(3(1(z0))))))))))))), 2'(0(3(1(0(0(1(3(0(3(3(1(z0)))))))))))), 0'(3(1(0(0(1(3(0(3(3(1(z0))))))))))), 3'(1(0(0(1(3(0(3(3(1(z0)))))))))), 1'(0(0(1(3(0(3(3(1(z0))))))))), 0'(0(1(3(0(3(3(1(z0)))))))), 0'(1(3(0(3(3(1(z0))))))), 1'(3(0(3(3(1(z0)))))), 3'(0(3(3(1(z0))))), 0'(3(3(1(z0)))), 3'(3(1(z0))), 3'(1(z0)), 1'(z0))
   3'(c_3(c_3(c_3(c_1(c_1(c_3(c_2(c_3(c_0(c_3(c_3(c_0(c_3(c_2(c_1(c_0(c_0(c_2(c_2(z0)))))))))))))))))))) -> c107(3'(3(0(3(0(0(3(3(3(1(3(1(1(0(3(0(2(0(1(2(z0)))))))))))))))))))), 3'(0(3(0(0(3(3(3(1(3(1(1(0(3(0(2(0(1(2(z0))))))))))))))))))), 0'(3(0(0(3(3(3(1(3(1(1(0(3(0(2(0(1(2(z0)))))))))))))))))), 3'(0(0(3(3(3(1(3(1(1(0(3(0(2(0(1(2(z0))))))))))))))))), 0'(0(3(3(3(1(3(1(1(0(3(0(2(0(1(2(z0)))))))))))))))), 0'(3(3(3(1(3(1(1(0(3(0(2(0(1(2(z0))))))))))))))), 3'(3(3(1(3(1(1(0(3(0(2(0(1(2(z0)))))))))))))), 3'(3(1(3(1(1(0(3(0(2(0(1(2(z0))))))))))))), 3'(1(3(1(1(0(3(0(2(0(1(2(z0)))))))))))), 1'(3(1(1(0(3(0(2(0(1(2(z0))))))))))), 3'(1(1(0(3(0(2(0(1(2(z0)))))))))), 1'(1(0(3(0(2(0(1(2(z0))))))))), 1'(0(3(0(2(0(1(2(z0)))))))), 0'(3(0(2(0(1(2(z0))))))), 3'(0(2(0(1(2(z0)))))), 0'(2(0(1(2(z0))))), 2'(0(1(2(z0)))), 0'(1(2(z0))), 1'(2(z0)), 2'(z0))
   3'(c_2(c_3(c_0(c_1(c_3(c_2(c_2(c_0(c_1(c_1(c_3(c_3(c_3(c_1(c_2(c_3(c_1(c_1(c_0(z0)))))))))))))))))))) -> c108(0'(0(0(0(3(2(3(1(1(1(0(1(0(0(3(3(0(2(3(1(z0)))))))))))))))))))), 0'(0(0(3(2(3(1(1(1(0(1(0(0(3(3(0(2(3(1(z0))))))))))))))))))), 0'(0(3(2(3(1(1(1(0(1(0(0(3(3(0(2(3(1(z0)))))))))))))))))), 0'(3(2(3(1(1(1(0(1(0(0(3(3(0(2(3(1(z0))))))))))))))))), 3'(2(3(1(1(1(0(1(0(0(3(3(0(2(3(1(z0)))))))))))))))), 2'(3(1(1(1(0(1(0(0(3(3(0(2(3(1(z0))))))))))))))), 3'(1(1(1(0(1(0(0(3(3(0(2(3(1(z0)))))))))))))), 1'(1(1(0(1(0(0(3(3(0(2(3(1(z0))))))))))))), 1'(1(0(1(0(0(3(3(0(2(3(1(z0)))))))))))), 1'(0(1(0(0(3(3(0(2(3(1(z0))))))))))), 0'(1(0(0(3(3(0(2(3(1(z0)))))))))), 1'(0(0(3(3(0(2(3(1(z0))))))))), 0'(0(3(3(0(2(3(1(z0)))))))), 0'(3(3(0(2(3(1(z0))))))), 3'(3(0(2(3(1(z0)))))), 3'(0(2(3(1(z0))))), 0'(2(3(1(z0)))), 2'(3(1(z0))), 3'(1(z0)), 1'(z0))
   3'(c_0(c_3(c_2(c_2(c_2(c_3(c_1(c_3(c_0(c_2(c_1(c_0(c_1(c_0(c_2(c_2(c_3(c_3(c_1(z0)))))))))))))))))))) -> c109(2'(3(0(0(3(1(2(0(3(3(0(0(0(3(3(3(1(0(2(2(z0)))))))))))))))))))), 3'(0(0(3(1(2(0(3(3(0(0(0(3(3(3(1(0(2(2(z0))))))))))))))))))), 0'(0(3(1(2(0(3(3(0(0(0(3(3(3(1(0(2(2(z0)))))))))))))))))), 0'(3(1(2(0(3(3(0(0(0(3(3(3(1(0(2(2(z0))))))))))))))))), 3'(1(2(0(3(3(0(0(0(3(3(3(1(0(2(2(z0)))))))))))))))), 1'(2(0(3(3(0(0(0(3(3(3(1(0(2(2(z0))))))))))))))), 2'(0(3(3(0(0(0(3(3(3(1(0(2(2(z0)))))))))))))), 0'(3(3(0(0(0(3(3(3(1(0(2(2(z0))))))))))))), 3'(3(0(0(0(3(3(3(1(0(2(2(z0)))))))))))), 3'(0(0(0(3(3(3(1(0(2(2(z0))))))))))), 0'(0(0(3(3(3(1(0(2(2(z0)))))))))), 0'(0(3(3(3(1(0(2(2(z0))))))))), 0'(3(3(3(1(0(2(2(z0)))))))), 3'(3(3(1(0(2(2(z0))))))), 3'(3(1(0(2(2(z0)))))), 3'(1(0(2(2(z0))))), 1'(0(2(2(z0)))), 0'(2(2(z0))), 2'(2(z0)), 2'(z0))
   3'(c_2(c_0(c_3(c_3(c_1(c_3(c_2(c_3(c_0(c_3(c_2(c_3(c_1(c_3(c_0(c_2(c_1(c_3(c_0(z0)))))))))))))))))))) -> c110(3'(3(3(0(2(3(3(0(2(0(3(3(3(3(1(0(0(1(3(0(z0)))))))))))))))))))), 3'(3(0(2(3(3(0(2(0(3(3(3(3(1(0(0(1(3(0(z0))))))))))))))))))), 3'(0(2(3(3(0(2(0(3(3(3(3(1(0(0(1(3(0(z0)))))))))))))))))), 0'(2(3(3(0(2(0(3(3(3(3(1(0(0(1(3(0(z0))))))))))))))))), 2'(3(3(0(2(0(3(3(3(3(1(0(0(1(3(0(z0)))))))))))))))), 3'(3(0(2(0(3(3(3(3(1(0(0(1(3(0(z0))))))))))))))), 3'(0(2(0(3(3(3(3(1(0(0(1(3(0(z0)))))))))))))), 0'(2(0(3(3(3(3(1(0(0(1(3(0(z0))))))))))))), 2'(0(3(3(3(3(1(0(0(1(3(0(z0)))))))))))), 0'(3(3(3(3(1(0(0(1(3(0(z0))))))))))), 3'(3(3(3(1(0(0(1(3(0(z0)))))))))), 3'(3(3(1(0(0(1(3(0(z0))))))))), 3'(3(1(0(0(1(3(0(z0)))))))), 3'(1(0(0(1(3(0(z0))))))), 1'(0(0(1(3(0(z0)))))), 0'(0(1(3(0(z0))))), 0'(1(3(0(z0)))), 1'(3(0(z0))), 3'(0(z0)), 0'(z0))
   ENCODE_0(z0) -> c8(0'(encArg(z0)))
   ENCODE_1(z0) -> c8(1'(encArg(z0)))
   ENCODE_2(z0) -> c8(2'(encArg(z0)))
   ENCODE_3(z0) -> c8(3'(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_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_2(cons_0(z0))) -> c2(2'(0(encArg(z0))), ENCARG(cons_0(z0)))
   ENCARG(cons_2(cons_1(z0))) -> c2(2'(1(encArg(z0))), ENCARG(cons_1(z0)))
   ENCARG(cons_2(cons_2(z0))) -> c2(2'(2(encArg(z0))), ENCARG(cons_2(z0)))
   ENCARG(cons_2(cons_3(z0))) -> c2(2'(3(encArg(z0))), ENCARG(cons_3(z0)))
S tuples:
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   3'(c_0(c_2(c_1(c_2(c_1(c_3(c_1(c_3(c_0(c_3(c_1(c_3(c_0(c_2(c_0(c_2(c_0(c_3(c_2(z0)))))))))))))))))))) -> c100(2'(2(3(1(3(1(3(3(1(3(3(0(0(2(1(2(3(3(3(2(z0)))))))))))))))))))), 2'(3(1(3(1(3(3(1(3(3(0(0(2(1(2(3(3(3(2(z0))))))))))))))))))), 3'(1(3(1(3(3(1(3(3(0(0(2(1(2(3(3(3(2(z0)))))))))))))))))), 1'(3(1(3(3(1(3(3(0(0(2(1(2(3(3(3(2(z0))))))))))))))))), 3'(1(3(3(1(3(3(0(0(2(1(2(3(3(3(2(z0)))))))))))))))), 1'(3(3(1(3(3(0(0(2(1(2(3(3(3(2(z0))))))))))))))), 3'(3(1(3(3(0(0(2(1(2(3(3(3(2(z0)))))))))))))), 3'(1(3(3(0(0(2(1(2(3(3(3(2(z0))))))))))))), 1'(3(3(0(0(2(1(2(3(3(3(2(z0)))))))))))), 3'(3(0(0(2(1(2(3(3(3(2(z0))))))))))), 3'(0(0(2(1(2(3(3(3(2(z0)))))))))), 0'(0(2(1(2(3(3(3(2(z0))))))))), 0'(2(1(2(3(3(3(2(z0)))))))), 2'(1(2(3(3(3(2(z0))))))), 1'(2(3(3(3(2(z0)))))), 2'(3(3(3(2(z0))))), 3'(3(3(2(z0)))), 3'(3(2(z0))), 3'(2(z0)), 2'(z0))
   3'(c_0(c_2(c_2(c_1(c_1(c_0(c_1(c_1(c_1(c_3(c_0(c_3(c_1(c_3(c_2(c_1(c_3(c_3(c_0(z0)))))))))))))))))))) -> c101(0'(0(0(0(1(3(3(1(1(3(1(3(0(1(0(3(3(1(1(3(z0)))))))))))))))))))), 0'(0(0(1(3(3(1(1(3(1(3(0(1(0(3(3(1(1(3(z0))))))))))))))))))), 0'(0(1(3(3(1(1(3(1(3(0(1(0(3(3(1(1(3(z0)))))))))))))))))), 0'(1(3(3(1(1(3(1(3(0(1(0(3(3(1(1(3(z0))))))))))))))))), 1'(3(3(1(1(3(1(3(0(1(0(3(3(1(1(3(z0)))))))))))))))), 3'(3(1(1(3(1(3(0(1(0(3(3(1(1(3(z0))))))))))))))), 3'(1(1(3(1(3(0(1(0(3(3(1(1(3(z0)))))))))))))), 1'(1(3(1(3(0(1(0(3(3(1(1(3(z0))))))))))))), 1'(3(1(3(0(1(0(3(3(1(1(3(z0)))))))))))), 3'(1(3(0(1(0(3(3(1(1(3(z0))))))))))), 1'(3(0(1(0(3(3(1(1(3(z0)))))))))), 3'(0(1(0(3(3(1(1(3(z0))))))))), 0'(1(0(3(3(1(1(3(z0)))))))), 1'(0(3(3(1(1(3(z0))))))), 0'(3(3(1(1(3(z0)))))), 3'(3(1(1(3(z0))))), 3'(1(1(3(z0)))), 1'(1(3(z0))), 1'(3(z0)), 3'(z0))
   3'(c_1(c_3(c_0(c_2(c_1(c_1(c_2(c_0(c_3(c_2(c_2(c_1(c_3(c_1(c_1(c_2(c_2(c_3(c_3(z0)))))))))))))))))))) -> c102(1'(0(0(1(3(0(1(1(2(0(3(3(3(3(0(0(3(0(3(2(z0)))))))))))))))))))), 0'(0(1(3(0(1(1(2(0(3(3(3(3(0(0(3(0(3(2(z0))))))))))))))))))), 0'(1(3(0(1(1(2(0(3(3(3(3(0(0(3(0(3(2(z0)))))))))))))))))), 1'(3(0(1(1(2(0(3(3(3(3(0(0(3(0(3(2(z0))))))))))))))))), 3'(0(1(1(2(0(3(3(3(3(0(0(3(0(3(2(z0)))))))))))))))), 0'(1(1(2(0(3(3(3(3(0(0(3(0(3(2(z0))))))))))))))), 1'(1(2(0(3(3(3(3(0(0(3(0(3(2(z0)))))))))))))), 1'(2(0(3(3(3(3(0(0(3(0(3(2(z0))))))))))))), 2'(0(3(3(3(3(0(0(3(0(3(2(z0)))))))))))), 0'(3(3(3(3(0(0(3(0(3(2(z0))))))))))), 3'(3(3(3(0(0(3(0(3(2(z0)))))))))), 3'(3(3(0(0(3(0(3(2(z0))))))))), 3'(3(0(0(3(0(3(2(z0)))))))), 3'(0(0(3(0(3(2(z0))))))), 0'(0(3(0(3(2(z0)))))), 0'(3(0(3(2(z0))))), 3'(0(3(2(z0)))), 0'(3(2(z0))), 3'(2(z0)), 2'(z0))
   3'(c_0(c_2(c_0(c_2(c_0(c_1(c_1(c_3(c_0(c_0(c_3(c_0(c_0(c_2(c_0(c_0(c_3(c_2(c_3(z0)))))))))))))))))))) -> c103(0'(3(2(2(0(3(3(3(1(1(0(0(3(0(2(2(1(1(3(3(z0)))))))))))))))))))), 3'(2(2(0(3(3(3(1(1(0(0(3(0(2(2(1(1(3(3(z0))))))))))))))))))), 2'(2(0(3(3(3(1(1(0(0(3(0(2(2(1(1(3(3(z0)))))))))))))))))), 2'(0(3(3(3(1(1(0(0(3(0(2(2(1(1(3(3(z0))))))))))))))))), 0'(3(3(3(1(1(0(0(3(0(2(2(1(1(3(3(z0)))))))))))))))), 3'(3(3(1(1(0(0(3(0(2(2(1(1(3(3(z0))))))))))))))), 3'(3(1(1(0(0(3(0(2(2(1(1(3(3(z0)))))))))))))), 3'(1(1(0(0(3(0(2(2(1(1(3(3(z0))))))))))))), 1'(1(0(0(3(0(2(2(1(1(3(3(z0)))))))))))), 1'(0(0(3(0(2(2(1(1(3(3(z0))))))))))), 0'(0(3(0(2(2(1(1(3(3(z0)))))))))), 0'(3(0(2(2(1(1(3(3(z0))))))))), 3'(0(2(2(1(1(3(3(z0)))))))), 0'(2(2(1(1(3(3(z0))))))), 2'(2(1(1(3(3(z0)))))), 2'(1(1(3(3(z0))))), 1'(1(3(3(z0)))), 1'(3(3(z0))), 3'(3(z0)), 3'(z0))
   3'(c_0(c_0(c_1(c_1(c_1(c_3(c_3(c_3(c_0(c_2(c_2(c_1(c_3(c_1(c_2(c_3(c_1(c_1(c_0(z0)))))))))))))))))))) -> c104(1'(3(0(2(1(3(3(2(0(2(3(1(3(0(3(0(0(2(1(0(z0)))))))))))))))))))), 3'(0(2(1(3(3(2(0(2(3(1(3(0(3(0(0(2(1(0(z0))))))))))))))))))), 0'(2(1(3(3(2(0(2(3(1(3(0(3(0(0(2(1(0(z0)))))))))))))))))), 2'(1(3(3(2(0(2(3(1(3(0(3(0(0(2(1(0(z0))))))))))))))))), 1'(3(3(2(0(2(3(1(3(0(3(0(0(2(1(0(z0)))))))))))))))), 3'(3(2(0(2(3(1(3(0(3(0(0(2(1(0(z0))))))))))))))), 3'(2(0(2(3(1(3(0(3(0(0(2(1(0(z0)))))))))))))), 2'(0(2(3(1(3(0(3(0(0(2(1(0(z0))))))))))))), 0'(2(3(1(3(0(3(0(0(2(1(0(z0)))))))))))), 2'(3(1(3(0(3(0(0(2(1(0(z0))))))))))), 3'(1(3(0(3(0(0(2(1(0(z0)))))))))), 1'(3(0(3(0(0(2(1(0(z0))))))))), 3'(0(3(0(0(2(1(0(z0)))))))), 0'(3(0(0(2(1(0(z0))))))), 3'(0(0(2(1(0(z0)))))), 0'(0(2(1(0(z0))))), 0'(2(1(0(z0)))), 2'(1(0(z0))), 1'(0(z0)), 0'(z0))
   3'(c_0(c_3(c_2(c_1(c_3(c_0(c_3(c_3(c_0(c_3(c_3(c_0(c_3(c_0(c_3(c_1(c_0(c_0(c_1(z0)))))))))))))))))))) -> c105(3'(3(3(3(2(3(0(1(0(0(0(3(3(1(3(3(3(1(1(2(z0)))))))))))))))))))), 3'(3(3(2(3(0(1(0(0(0(3(3(1(3(3(3(1(1(2(z0))))))))))))))))))), 3'(3(2(3(0(1(0(0(0(3(3(1(3(3(3(1(1(2(z0)))))))))))))))))), 3'(2(3(0(1(0(0(0(3(3(1(3(3(3(1(1(2(z0))))))))))))))))), 2'(3(0(1(0(0(0(3(3(1(3(3(3(1(1(2(z0)))))))))))))))), 3'(0(1(0(0(0(3(3(1(3(3(3(1(1(2(z0))))))))))))))), 0'(1(0(0(0(3(3(1(3(3(3(1(1(2(z0)))))))))))))), 1'(0(0(0(3(3(1(3(3(3(1(1(2(z0))))))))))))), 0'(0(0(3(3(1(3(3(3(1(1(2(z0)))))))))))), 0'(0(3(3(1(3(3(3(1(1(2(z0))))))))))), 0'(3(3(1(3(3(3(1(1(2(z0)))))))))), 3'(3(1(3(3(3(1(1(2(z0))))))))), 3'(1(3(3(3(1(1(2(z0)))))))), 1'(3(3(3(1(1(2(z0))))))), 3'(3(3(1(1(2(z0)))))), 3'(3(1(1(2(z0))))), 3'(1(1(2(z0)))), 1'(1(2(z0))), 1'(2(z0)), 2'(z0))
   3'(c_3(c_1(c_0(c_1(c_3(c_0(c_0(c_3(c_1(c_2(c_1(c_0(c_0(c_3(c_0(c_1(c_0(c_3(c_1(z0)))))))))))))))))))) -> c106(1'(3(3(3(3(2(3(2(2(0(3(1(0(0(1(3(0(3(3(1(z0)))))))))))))))))))), 3'(3(3(3(2(3(2(2(0(3(1(0(0(1(3(0(3(3(1(z0))))))))))))))))))), 3'(3(3(2(3(2(2(0(3(1(0(0(1(3(0(3(3(1(z0)))))))))))))))))), 3'(3(2(3(2(2(0(3(1(0(0(1(3(0(3(3(1(z0))))))))))))))))), 3'(2(3(2(2(0(3(1(0(0(1(3(0(3(3(1(z0)))))))))))))))), 2'(3(2(2(0(3(1(0(0(1(3(0(3(3(1(z0))))))))))))))), 3'(2(2(0(3(1(0(0(1(3(0(3(3(1(z0)))))))))))))), 2'(2(0(3(1(0(0(1(3(0(3(3(1(z0))))))))))))), 2'(0(3(1(0(0(1(3(0(3(3(1(z0)))))))))))), 0'(3(1(0(0(1(3(0(3(3(1(z0))))))))))), 3'(1(0(0(1(3(0(3(3(1(z0)))))))))), 1'(0(0(1(3(0(3(3(1(z0))))))))), 0'(0(1(3(0(3(3(1(z0)))))))), 0'(1(3(0(3(3(1(z0))))))), 1'(3(0(3(3(1(z0)))))), 3'(0(3(3(1(z0))))), 0'(3(3(1(z0)))), 3'(3(1(z0))), 3'(1(z0)), 1'(z0))
   3'(c_3(c_3(c_3(c_1(c_1(c_3(c_2(c_3(c_0(c_3(c_3(c_0(c_3(c_2(c_1(c_0(c_0(c_2(c_2(z0)))))))))))))))))))) -> c107(3'(3(0(3(0(0(3(3(3(1(3(1(1(0(3(0(2(0(1(2(z0)))))))))))))))))))), 3'(0(3(0(0(3(3(3(1(3(1(1(0(3(0(2(0(1(2(z0))))))))))))))))))), 0'(3(0(0(3(3(3(1(3(1(1(0(3(0(2(0(1(2(z0)))))))))))))))))), 3'(0(0(3(3(3(1(3(1(1(0(3(0(2(0(1(2(z0))))))))))))))))), 0'(0(3(3(3(1(3(1(1(0(3(0(2(0(1(2(z0)))))))))))))))), 0'(3(3(3(1(3(1(1(0(3(0(2(0(1(2(z0))))))))))))))), 3'(3(3(1(3(1(1(0(3(0(2(0(1(2(z0)))))))))))))), 3'(3(1(3(1(1(0(3(0(2(0(1(2(z0))))))))))))), 3'(1(3(1(1(0(3(0(2(0(1(2(z0)))))))))))), 1'(3(1(1(0(3(0(2(0(1(2(z0))))))))))), 3'(1(1(0(3(0(2(0(1(2(z0)))))))))), 1'(1(0(3(0(2(0(1(2(z0))))))))), 1'(0(3(0(2(0(1(2(z0)))))))), 0'(3(0(2(0(1(2(z0))))))), 3'(0(2(0(1(2(z0)))))), 0'(2(0(1(2(z0))))), 2'(0(1(2(z0)))), 0'(1(2(z0))), 1'(2(z0)), 2'(z0))
   3'(c_2(c_3(c_0(c_1(c_3(c_2(c_2(c_0(c_1(c_1(c_3(c_3(c_3(c_1(c_2(c_3(c_1(c_1(c_0(z0)))))))))))))))))))) -> c108(0'(0(0(0(3(2(3(1(1(1(0(1(0(0(3(3(0(2(3(1(z0)))))))))))))))))))), 0'(0(0(3(2(3(1(1(1(0(1(0(0(3(3(0(2(3(1(z0))))))))))))))))))), 0'(0(3(2(3(1(1(1(0(1(0(0(3(3(0(2(3(1(z0)))))))))))))))))), 0'(3(2(3(1(1(1(0(1(0(0(3(3(0(2(3(1(z0))))))))))))))))), 3'(2(3(1(1(1(0(1(0(0(3(3(0(2(3(1(z0)))))))))))))))), 2'(3(1(1(1(0(1(0(0(3(3(0(2(3(1(z0))))))))))))))), 3'(1(1(1(0(1(0(0(3(3(0(2(3(1(z0)))))))))))))), 1'(1(1(0(1(0(0(3(3(0(2(3(1(z0))))))))))))), 1'(1(0(1(0(0(3(3(0(2(3(1(z0)))))))))))), 1'(0(1(0(0(3(3(0(2(3(1(z0))))))))))), 0'(1(0(0(3(3(0(2(3(1(z0)))))))))), 1'(0(0(3(3(0(2(3(1(z0))))))))), 0'(0(3(3(0(2(3(1(z0)))))))), 0'(3(3(0(2(3(1(z0))))))), 3'(3(0(2(3(1(z0)))))), 3'(0(2(3(1(z0))))), 0'(2(3(1(z0)))), 2'(3(1(z0))), 3'(1(z0)), 1'(z0))
   3'(c_0(c_3(c_2(c_2(c_2(c_3(c_1(c_3(c_0(c_2(c_1(c_0(c_1(c_0(c_2(c_2(c_3(c_3(c_1(z0)))))))))))))))))))) -> c109(2'(3(0(0(3(1(2(0(3(3(0(0(0(3(3(3(1(0(2(2(z0)))))))))))))))))))), 3'(0(0(3(1(2(0(3(3(0(0(0(3(3(3(1(0(2(2(z0))))))))))))))))))), 0'(0(3(1(2(0(3(3(0(0(0(3(3(3(1(0(2(2(z0)))))))))))))))))), 0'(3(1(2(0(3(3(0(0(0(3(3(3(1(0(2(2(z0))))))))))))))))), 3'(1(2(0(3(3(0(0(0(3(3(3(1(0(2(2(z0)))))))))))))))), 1'(2(0(3(3(0(0(0(3(3(3(1(0(2(2(z0))))))))))))))), 2'(0(3(3(0(0(0(3(3(3(1(0(2(2(z0)))))))))))))), 0'(3(3(0(0(0(3(3(3(1(0(2(2(z0))))))))))))), 3'(3(0(0(0(3(3(3(1(0(2(2(z0)))))))))))), 3'(0(0(0(3(3(3(1(0(2(2(z0))))))))))), 0'(0(0(3(3(3(1(0(2(2(z0)))))))))), 0'(0(3(3(3(1(0(2(2(z0))))))))), 0'(3(3(3(1(0(2(2(z0)))))))), 3'(3(3(1(0(2(2(z0))))))), 3'(3(1(0(2(2(z0)))))), 3'(1(0(2(2(z0))))), 1'(0(2(2(z0)))), 0'(2(2(z0))), 2'(2(z0)), 2'(z0))
   3'(c_2(c_0(c_3(c_3(c_1(c_3(c_2(c_3(c_0(c_3(c_2(c_3(c_1(c_3(c_0(c_2(c_1(c_3(c_0(z0)))))))))))))))))))) -> c110(3'(3(3(0(2(3(3(0(2(0(3(3(3(3(1(0(0(1(3(0(z0)))))))))))))))))))), 3'(3(0(2(3(3(0(2(0(3(3(3(3(1(0(0(1(3(0(z0))))))))))))))))))), 3'(0(2(3(3(0(2(0(3(3(3(3(1(0(0(1(3(0(z0)))))))))))))))))), 0'(2(3(3(0(2(0(3(3(3(3(1(0(0(1(3(0(z0))))))))))))))))), 2'(3(3(0(2(0(3(3(3(3(1(0(0(1(3(0(z0)))))))))))))))), 3'(3(0(2(0(3(3(3(3(1(0(0(1(3(0(z0))))))))))))))), 3'(0(2(0(3(3(3(3(1(0(0(1(3(0(z0)))))))))))))), 0'(2(0(3(3(3(3(1(0(0(1(3(0(z0))))))))))))), 2'(0(3(3(3(3(1(0(0(1(3(0(z0)))))))))))), 0'(3(3(3(3(1(0(0(1(3(0(z0))))))))))), 3'(3(3(3(1(0(0(1(3(0(z0)))))))))), 3'(3(3(1(0(0(1(3(0(z0))))))))), 3'(3(1(0(0(1(3(0(z0)))))))), 3'(1(0(0(1(3(0(z0))))))), 1'(0(0(1(3(0(z0)))))), 0'(0(1(3(0(z0))))), 0'(1(3(0(z0)))), 1'(3(0(z0))), 3'(0(z0)), 0'(z0))
K tuples:none
Defined Rule Symbols:   encArg_1, 0_1, 1_1, 2_1, 3_1

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

Compound Symbols:   c3_2, c9_20, c10_20, 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_20, c33_20, c34_20, c35_20, c37_20, c38_20, c39_20, c40_20, c41_20, c42_20, c43_20, c44_20, c45_20, c46_20, c47_20, c48_20, c49_20, c50_20, c51_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_20, c73_20, c74_20, c75_20, c76_20, c77_20, c78_20, c79_20, c80_20, c81_20, c82_20, c83_20, c84_20, c85_20, c86_20, c87_20, c88_20, c90_20, c91_20, c92_20, c93_20, c94_20, c95_20, c96_20, c97_20, c98_20, c99_20, c100_20, c101_20, c102_20, c103_20, c104_20, c105_20, c106_20, c107_20, c108_20, c109_20, c110_20, c8_1, c_2, c1_2, c2_2


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

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

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

(54)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(cons_0(z0)) -> 0(encArg(z0))
   encArg(cons_1(z0)) -> 1(encArg(z0))
   encArg(cons_2(z0)) -> 2(encArg(z0))
   encArg(cons_3(z0)) -> 3(encArg(z0))
   0(z0) -> c_0(z0)
   0(c_1(c_1(c_1(c_0(c_0(c_0(c_0(c_0(c_0(c_3(c_0(c_1(c_0(c_1(c_0(c_2(c_0(c_3(c_1(z0)))))))))))))))))))) -> 1(0(2(1(3(0(1(0(2(3(0(0(3(3(0(1(0(0(1(0(z0))))))))))))))))))))
   0(c_0(c_1(c_2(c_3(c_0(c_1(c_0(c_3(c_0(c_3(c_1(c_1(c_1(c_0(c_1(c_3(c_3(c_2(c_3(z0)))))))))))))))))))) -> 3(0(3(1(1(0(2(3(0(3(3(1(3(1(0(3(0(1(2(3(z0))))))))))))))))))))
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   1(z0) -> c_1(z0)
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   2(c_3(c_2(c_3(c_1(c_0(c_0(c_1(c_0(c_2(c_0(c_0(c_1(c_3(c_3(c_1(c_0(c_0(c_0(c_0(z0)))))))))))))))))))) -> 1(2(0(3(3(3(0(2(2(0(1(0(0(1(2(2(1(3(3(0(z0))))))))))))))))))))
   2(c_3(c_2(c_3(c_0(c_3(c_0(c_3(c_3(c_3(c_0(c_1(c_1(c_1(c_0(c_3(c_1(c_2(c_1(c_1(z0)))))))))))))))))))) -> 0(3(1(3(1(3(1(3(0(1(0(0(3(3(3(2(0(2(3(2(z0))))))))))))))))))))
   2(c_0(c_2(c_0(c_0(c_3(c_1(c_0(c_0(c_2(c_3(c_3(c_1(c_0(c_3(c_2(c_1(c_0(c_0(c_3(z0)))))))))))))))))))) -> 1(3(0(1(2(0(2(2(3(1(3(3(3(3(3(3(0(3(0(3(z0))))))))))))))))))))
   2(c_2(c_3(c_1(c_1(c_1(c_1(c_3(c_1(c_3(c_1(c_1(c_0(c_0(c_0(c_0(c_3(c_1(c_2(c_3(z0)))))))))))))))))))) -> 3(2(0(0(0(1(3(1(3(3(1(3(0(0(2(3(0(1(1(1(z0))))))))))))))))))))
   2(c_1(c_0(c_1(c_3(c_3(c_1(c_0(c_2(c_3(c_0(c_0(c_0(c_2(c_3(c_1(c_0(c_0(c_3(c_3(z0)))))))))))))))))))) -> 2(0(1(3(2(1(3(1(3(1(1(3(3(1(3(3(0(0(3(3(z0))))))))))))))))))))
   2(c_1(c_1(c_3(c_3(c_1(c_0(c_2(c_2(c_2(c_2(c_2(c_3(c_0(c_1(c_0(c_2(c_2(c_3(c_3(z0)))))))))))))))))))) -> 0(3(0(3(1(3(0(3(3(1(3(3(0(3(1(3(3(0(3(1(z0))))))))))))))))))))
   2(c_2(c_3(c_3(c_2(c_2(c_2(c_2(c_3(c_0(c_2(c_3(c_0(c_2(c_0(c_1(c_1(c_3(c_3(c_1(z0)))))))))))))))))))) -> 2(2(2(0(0(1(0(0(1(3(3(3(3(3(2(1(0(0(0(3(z0))))))))))))))))))))
   2(c_1(c_3(c_3(c_1(c_1(c_3(c_2(c_1(c_3(c_3(c_1(c_1(c_0(c_2(c_2(c_3(c_0(c_0(c_0(z0)))))))))))))))))))) -> 2(0(0(0(1(0(0(3(1(1(1(3(0(0(3(0(1(3(3(2(z0))))))))))))))))))))
   2(c_1(c_1(c_0(c_3(c_0(c_1(c_2(c_3(c_3(c_1(c_1(c_1(c_3(c_0(c_0(c_3(c_1(c_3(c_0(z0)))))))))))))))))))) -> 2(2(0(3(2(0(0(1(2(1(1(3(1(3(3(0(3(3(3(0(z0))))))))))))))))))))
   2(c_0(c_1(c_0(c_1(c_3(c_2(c_3(c_0(c_0(c_2(c_1(c_0(c_2(c_0(c_3(c_1(c_0(c_2(c_3(z0)))))))))))))))))))) -> 3(3(3(0(3(3(2(3(1(3(1(3(3(0(3(3(0(2(1(0(z0))))))))))))))))))))
   2(c_0(c_3(c_1(c_3(c_3(c_3(c_1(c_2(c_3(c_0(c_1(c_2(c_2(c_3(c_2(c_1(c_0(c_3(c_1(z0)))))))))))))))))))) -> 1(0(3(3(1(3(0(1(2(3(0(1(0(3(3(0(3(2(1(1(z0))))))))))))))))))))
   2(c_3(c_0(c_3(c_3(c_2(c_3(c_0(c_1(c_3(c_2(c_2(c_3(c_3(c_0(c_2(c_2(c_0(c_1(c_2(z0)))))))))))))))))))) -> 2(0(1(3(0(2(2(3(2(0(3(3(2(0(3(1(0(3(0(2(z0))))))))))))))))))))
   2(c_3(c_2(c_2(c_0(c_3(c_3(c_1(c_1(c_1(c_3(c_0(c_0(c_1(c_0(c_0(c_2(c_3(c_0(c_3(z0)))))))))))))))))))) -> 2(3(1(1(0(3(2(2(1(3(0(3(3(2(0(0(1(1(3(3(z0))))))))))))))))))))
   2(c_0(c_1(c_0(c_2(c_2(c_0(c_3(c_0(c_2(c_2(c_3(c_3(c_2(c_1(c_3(c_0(c_2(c_3(c_1(z0)))))))))))))))))))) -> 2(3(3(0(3(0(0(2(3(3(1(1(3(3(0(1(2(3(2(0(z0))))))))))))))))))))
   2(c_0(c_0(c_2(c_1(c_2(c_1(c_1(c_3(c_0(c_2(c_3(c_2(c_1(c_3(c_3(c_1(c_3(c_2(c_3(z0)))))))))))))))))))) -> 2(2(3(1(1(0(1(0(1(1(0(1(0(3(3(1(3(3(3(1(z0))))))))))))))))))))
   2(c_1(c_1(c_1(c_0(c_1(c_3(c_1(c_0(c_3(c_2(c_3(c_0(c_0(c_0(c_3(c_1(c_1(c_0(c_3(z0)))))))))))))))))))) -> 1(1(1(0(1(1(2(0(2(1(0(0(3(3(0(2(0(3(0(3(z0))))))))))))))))))))
   2(c_1(c_3(c_1(c_3(c_3(c_1(c_1(c_1(c_1(c_1(c_1(c_0(c_2(c_3(c_2(c_3(c_0(c_0(c_3(z0)))))))))))))))))))) -> 1(3(0(0(2(0(0(2(0(3(2(2(0(1(3(3(3(0(0(3(z0))))))))))))))))))))
   2(c_1(c_0(c_3(c_0(c_2(c_0(c_2(c_1(c_3(c_3(c_3(c_1(c_1(c_1(c_0(c_0(c_3(c_3(c_2(z0)))))))))))))))))))) -> 2(2(1(3(0(0(1(3(0(3(3(0(3(3(1(0(1(1(0(1(z0))))))))))))))))))))
   2(c_3(c_1(c_2(c_0(c_3(c_2(c_0(c_2(c_3(c_3(c_0(c_2(c_0(c_0(c_1(c_0(c_1(c_0(c_3(z0)))))))))))))))))))) -> 0(3(1(3(0(3(3(0(1(0(0(3(2(0(0(0(3(3(2(3(z0))))))))))))))))))))
   2(c_2(c_3(c_2(c_0(c_0(c_3(c_0(c_3(c_3(c_2(c_2(c_2(c_0(c_2(c_3(c_3(c_3(c_3(c_2(z0)))))))))))))))))))) -> 1(0(3(1(2(3(3(2(3(3(3(3(0(1(3(1(0(3(0(3(z0))))))))))))))))))))
   2(c_2(c_3(c_3(c_0(c_2(c_2(c_0(c_1(c_3(c_1(c_3(c_3(c_0(c_3(c_2(c_2(c_2(c_1(c_2(z0)))))))))))))))))))) -> 2(0(0(0(3(0(3(1(3(2(0(0(1(1(3(0(0(3(2(3(z0))))))))))))))))))))
   3(z0) -> c_3(z0)
   3(c_3(c_0(c_2(c_2(c_3(c_3(c_1(c_2(c_2(c_0(c_0(c_3(c_2(c_0(c_2(c_1(c_0(c_3(c_3(z0)))))))))))))))))))) -> 1(0(2(1(1(3(2(1(1(3(0(3(3(1(1(3(1(3(3(3(z0))))))))))))))))))))
   3(c_3(c_1(c_0(c_3(c_1(c_0(c_3(c_1(c_1(c_3(c_3(c_1(c_3(c_0(c_2(c_2(c_3(c_1(c_1(z0)))))))))))))))))))) -> 0(0(3(0(2(1(3(3(0(0(3(2(0(0(3(0(2(2(0(0(z0))))))))))))))))))))
   3(c_3(c_2(c_1(c_3(c_1(c_3(c_0(c_2(c_0(c_3(c_1(c_2(c_1(c_3(c_2(c_1(c_3(c_2(c_3(z0)))))))))))))))))))) -> 2(3(3(2(2(2(0(3(1(2(3(3(3(3(0(1(3(2(0(3(z0))))))))))))))))))))
   3(c_0(c_1(c_0(c_1(c_2(c_3(c_2(c_1(c_1(c_0(c_1(c_1(c_3(c_0(c_3(c_3(c_2(c_1(c_3(z0)))))))))))))))))))) -> 0(3(0(0(2(3(0(2(2(1(0(1(2(0(1(3(1(3(1(3(z0))))))))))))))))))))
   3(c_3(c_0(c_3(c_3(c_0(c_1(c_2(c_1(c_1(c_0(c_3(c_3(c_0(c_2(c_0(c_0(c_2(c_2(c_1(z0)))))))))))))))))))) -> 3(3(3(3(1(3(3(1(1(3(1(2(3(3(3(2(2(0(2(1(z0))))))))))))))))))))
   3(c_0(c_3(c_3(c_3(c_3(c_1(c_3(c_2(c_0(c_1(c_0(c_1(c_0(c_3(c_3(c_0(c_0(c_1(c_1(z0)))))))))))))))))))) -> 3(3(2(3(3(3(2(3(3(0(1(1(0(3(3(3(0(3(3(0(z0))))))))))))))))))))
   3(c_1(c_0(c_1(c_1(c_1(c_3(c_1(c_0(c_0(c_0(c_2(c_1(c_0(c_1(c_2(c_0(c_0(c_0(c_3(z0)))))))))))))))))))) -> 0(3(0(2(2(0(1(0(1(0(0(2(2(3(2(3(0(1(0(3(z0))))))))))))))))))))
   3(c_3(c_0(c_2(c_3(c_3(c_0(c_1(c_3(c_0(c_0(c_1(c_2(c_2(c_2(c_2(c_3(c_3(c_2(c_1(z0)))))))))))))))))))) -> 3(1(3(3(1(0(3(0(3(0(2(3(3(1(0(1(0(3(1(0(z0))))))))))))))))))))
   3(c_1(c_2(c_3(c_2(c_2(c_2(c_3(c_3(c_0(c_1(c_3(c_0(c_1(c_1(c_1(c_0(c_0(c_0(c_3(z0)))))))))))))))))))) -> 1(2(1(3(1(3(3(3(3(2(1(1(2(3(0(0(3(3(0(0(z0))))))))))))))))))))
   3(c_1(c_1(c_3(c_2(c_3(c_3(c_3(c_1(c_0(c_1(c_2(c_0(c_3(c_0(c_0(c_0(c_1(c_2(c_3(z0)))))))))))))))))))) -> 3(3(3(0(3(3(1(0(2(3(0(0(2(2(3(3(0(3(2(0(z0))))))))))))))))))))
   3(c_0(c_2(c_1(c_2(c_1(c_3(c_1(c_3(c_0(c_3(c_1(c_3(c_0(c_2(c_0(c_2(c_0(c_3(c_2(z0)))))))))))))))))))) -> 2(2(3(1(3(1(3(3(1(3(3(0(0(2(1(2(3(3(3(2(z0))))))))))))))))))))
   3(c_0(c_2(c_2(c_1(c_1(c_0(c_1(c_1(c_1(c_3(c_0(c_3(c_1(c_3(c_2(c_1(c_3(c_3(c_0(z0)))))))))))))))))))) -> 0(0(0(0(1(3(3(1(1(3(1(3(0(1(0(3(3(1(1(3(z0))))))))))))))))))))
   3(c_1(c_3(c_0(c_2(c_1(c_1(c_2(c_0(c_3(c_2(c_2(c_1(c_3(c_1(c_1(c_2(c_2(c_3(c_3(z0)))))))))))))))))))) -> 1(0(0(1(3(0(1(1(2(0(3(3(3(3(0(0(3(0(3(2(z0))))))))))))))))))))
   3(c_0(c_2(c_0(c_2(c_0(c_1(c_1(c_3(c_0(c_0(c_3(c_0(c_0(c_2(c_0(c_0(c_3(c_2(c_3(z0)))))))))))))))))))) -> 0(3(2(2(0(3(3(3(1(1(0(0(3(0(2(2(1(1(3(3(z0))))))))))))))))))))
   3(c_0(c_0(c_1(c_1(c_1(c_3(c_3(c_3(c_0(c_2(c_2(c_1(c_3(c_1(c_2(c_3(c_1(c_1(c_0(z0)))))))))))))))))))) -> 1(3(0(2(1(3(3(2(0(2(3(1(3(0(3(0(0(2(1(0(z0))))))))))))))))))))
   3(c_0(c_3(c_2(c_1(c_3(c_0(c_3(c_3(c_0(c_3(c_3(c_0(c_3(c_0(c_3(c_1(c_0(c_0(c_1(z0)))))))))))))))))))) -> 3(3(3(3(2(3(0(1(0(0(0(3(3(1(3(3(3(1(1(2(z0))))))))))))))))))))
   3(c_3(c_1(c_0(c_1(c_3(c_0(c_0(c_3(c_1(c_2(c_1(c_0(c_0(c_3(c_0(c_1(c_0(c_3(c_1(z0)))))))))))))))))))) -> 1(3(3(3(3(2(3(2(2(0(3(1(0(0(1(3(0(3(3(1(z0))))))))))))))))))))
   3(c_3(c_3(c_3(c_1(c_1(c_3(c_2(c_3(c_0(c_3(c_3(c_0(c_3(c_2(c_1(c_0(c_0(c_2(c_2(z0)))))))))))))))))))) -> 3(3(0(3(0(0(3(3(3(1(3(1(1(0(3(0(2(0(1(2(z0))))))))))))))))))))
   3(c_2(c_3(c_0(c_1(c_3(c_2(c_2(c_0(c_1(c_1(c_3(c_3(c_3(c_1(c_2(c_3(c_1(c_1(c_0(z0)))))))))))))))))))) -> 0(0(0(0(3(2(3(1(1(1(0(1(0(0(3(3(0(2(3(1(z0))))))))))))))))))))
   3(c_0(c_3(c_2(c_2(c_2(c_3(c_1(c_3(c_0(c_2(c_1(c_0(c_1(c_0(c_2(c_2(c_3(c_3(c_1(z0)))))))))))))))))))) -> 2(3(0(0(3(1(2(0(3(3(0(0(0(3(3(3(1(0(2(2(z0))))))))))))))))))))
   3(c_2(c_0(c_3(c_3(c_1(c_3(c_2(c_3(c_0(c_3(c_2(c_3(c_1(c_3(c_0(c_2(c_1(c_3(c_0(z0)))))))))))))))))))) -> 3(3(3(0(2(3(3(0(2(0(3(3(3(3(1(0(0(1(3(0(z0))))))))))))))))))))
Tuples:
   0'(c_1(c_1(c_1(c_0(c_0(c_0(c_0(c_0(c_0(c_3(c_0(c_1(c_0(c_1(c_0(c_2(c_0(c_3(c_1(z0)))))))))))))))))))) -> c9(1'(0(2(1(3(0(1(0(2(3(0(0(3(3(0(1(0(0(1(0(z0)))))))))))))))))))), 0'(2(1(3(0(1(0(2(3(0(0(3(3(0(1(0(0(1(0(z0))))))))))))))))))), 2'(1(3(0(1(0(2(3(0(0(3(3(0(1(0(0(1(0(z0)))))))))))))))))), 1'(3(0(1(0(2(3(0(0(3(3(0(1(0(0(1(0(z0))))))))))))))))), 3'(0(1(0(2(3(0(0(3(3(0(1(0(0(1(0(z0)))))))))))))))), 0'(1(0(2(3(0(0(3(3(0(1(0(0(1(0(z0))))))))))))))), 1'(0(2(3(0(0(3(3(0(1(0(0(1(0(z0)))))))))))))), 0'(2(3(0(0(3(3(0(1(0(0(1(0(z0))))))))))))), 2'(3(0(0(3(3(0(1(0(0(1(0(z0)))))))))))), 3'(0(0(3(3(0(1(0(0(1(0(z0))))))))))), 0'(0(3(3(0(1(0(0(1(0(z0)))))))))), 0'(3(3(0(1(0(0(1(0(z0))))))))), 3'(3(0(1(0(0(1(0(z0)))))))), 3'(0(1(0(0(1(0(z0))))))), 0'(1(0(0(1(0(z0)))))), 1'(0(0(1(0(z0))))), 0'(0(1(0(z0)))), 0'(1(0(z0))), 1'(0(z0)), 0'(z0))
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   3'(c_1(c_3(c_0(c_2(c_1(c_1(c_2(c_0(c_3(c_2(c_2(c_1(c_3(c_1(c_1(c_2(c_2(c_3(c_3(z0)))))))))))))))))))) -> c102(1'(0(0(1(3(0(1(1(2(0(3(3(3(3(0(0(3(0(3(2(z0)))))))))))))))))))), 0'(0(1(3(0(1(1(2(0(3(3(3(3(0(0(3(0(3(2(z0))))))))))))))))))), 0'(1(3(0(1(1(2(0(3(3(3(3(0(0(3(0(3(2(z0)))))))))))))))))), 1'(3(0(1(1(2(0(3(3(3(3(0(0(3(0(3(2(z0))))))))))))))))), 3'(0(1(1(2(0(3(3(3(3(0(0(3(0(3(2(z0)))))))))))))))), 0'(1(1(2(0(3(3(3(3(0(0(3(0(3(2(z0))))))))))))))), 1'(1(2(0(3(3(3(3(0(0(3(0(3(2(z0)))))))))))))), 1'(2(0(3(3(3(3(0(0(3(0(3(2(z0))))))))))))), 2'(0(3(3(3(3(0(0(3(0(3(2(z0)))))))))))), 0'(3(3(3(3(0(0(3(0(3(2(z0))))))))))), 3'(3(3(3(0(0(3(0(3(2(z0)))))))))), 3'(3(3(0(0(3(0(3(2(z0))))))))), 3'(3(0(0(3(0(3(2(z0)))))))), 3'(0(0(3(0(3(2(z0))))))), 0'(0(3(0(3(2(z0)))))), 0'(3(0(3(2(z0))))), 3'(0(3(2(z0)))), 0'(3(2(z0))), 3'(2(z0)), 2'(z0))
   3'(c_0(c_2(c_0(c_2(c_0(c_1(c_1(c_3(c_0(c_0(c_3(c_0(c_0(c_2(c_0(c_0(c_3(c_2(c_3(z0)))))))))))))))))))) -> c103(0'(3(2(2(0(3(3(3(1(1(0(0(3(0(2(2(1(1(3(3(z0)))))))))))))))))))), 3'(2(2(0(3(3(3(1(1(0(0(3(0(2(2(1(1(3(3(z0))))))))))))))))))), 2'(2(0(3(3(3(1(1(0(0(3(0(2(2(1(1(3(3(z0)))))))))))))))))), 2'(0(3(3(3(1(1(0(0(3(0(2(2(1(1(3(3(z0))))))))))))))))), 0'(3(3(3(1(1(0(0(3(0(2(2(1(1(3(3(z0)))))))))))))))), 3'(3(3(1(1(0(0(3(0(2(2(1(1(3(3(z0))))))))))))))), 3'(3(1(1(0(0(3(0(2(2(1(1(3(3(z0)))))))))))))), 3'(1(1(0(0(3(0(2(2(1(1(3(3(z0))))))))))))), 1'(1(0(0(3(0(2(2(1(1(3(3(z0)))))))))))), 1'(0(0(3(0(2(2(1(1(3(3(z0))))))))))), 0'(0(3(0(2(2(1(1(3(3(z0)))))))))), 0'(3(0(2(2(1(1(3(3(z0))))))))), 3'(0(2(2(1(1(3(3(z0)))))))), 0'(2(2(1(1(3(3(z0))))))), 2'(2(1(1(3(3(z0)))))), 2'(1(1(3(3(z0))))), 1'(1(3(3(z0)))), 1'(3(3(z0))), 3'(3(z0)), 3'(z0))
   3'(c_0(c_0(c_1(c_1(c_1(c_3(c_3(c_3(c_0(c_2(c_2(c_1(c_3(c_1(c_2(c_3(c_1(c_1(c_0(z0)))))))))))))))))))) -> c104(1'(3(0(2(1(3(3(2(0(2(3(1(3(0(3(0(0(2(1(0(z0)))))))))))))))))))), 3'(0(2(1(3(3(2(0(2(3(1(3(0(3(0(0(2(1(0(z0))))))))))))))))))), 0'(2(1(3(3(2(0(2(3(1(3(0(3(0(0(2(1(0(z0)))))))))))))))))), 2'(1(3(3(2(0(2(3(1(3(0(3(0(0(2(1(0(z0))))))))))))))))), 1'(3(3(2(0(2(3(1(3(0(3(0(0(2(1(0(z0)))))))))))))))), 3'(3(2(0(2(3(1(3(0(3(0(0(2(1(0(z0))))))))))))))), 3'(2(0(2(3(1(3(0(3(0(0(2(1(0(z0)))))))))))))), 2'(0(2(3(1(3(0(3(0(0(2(1(0(z0))))))))))))), 0'(2(3(1(3(0(3(0(0(2(1(0(z0)))))))))))), 2'(3(1(3(0(3(0(0(2(1(0(z0))))))))))), 3'(1(3(0(3(0(0(2(1(0(z0)))))))))), 1'(3(0(3(0(0(2(1(0(z0))))))))), 3'(0(3(0(0(2(1(0(z0)))))))), 0'(3(0(0(2(1(0(z0))))))), 3'(0(0(2(1(0(z0)))))), 0'(0(2(1(0(z0))))), 0'(2(1(0(z0)))), 2'(1(0(z0))), 1'(0(z0)), 0'(z0))
   3'(c_0(c_3(c_2(c_1(c_3(c_0(c_3(c_3(c_0(c_3(c_3(c_0(c_3(c_0(c_3(c_1(c_0(c_0(c_1(z0)))))))))))))))))))) -> c105(3'(3(3(3(2(3(0(1(0(0(0(3(3(1(3(3(3(1(1(2(z0)))))))))))))))))))), 3'(3(3(2(3(0(1(0(0(0(3(3(1(3(3(3(1(1(2(z0))))))))))))))))))), 3'(3(2(3(0(1(0(0(0(3(3(1(3(3(3(1(1(2(z0)))))))))))))))))), 3'(2(3(0(1(0(0(0(3(3(1(3(3(3(1(1(2(z0))))))))))))))))), 2'(3(0(1(0(0(0(3(3(1(3(3(3(1(1(2(z0)))))))))))))))), 3'(0(1(0(0(0(3(3(1(3(3(3(1(1(2(z0))))))))))))))), 0'(1(0(0(0(3(3(1(3(3(3(1(1(2(z0)))))))))))))), 1'(0(0(0(3(3(1(3(3(3(1(1(2(z0))))))))))))), 0'(0(0(3(3(1(3(3(3(1(1(2(z0)))))))))))), 0'(0(3(3(1(3(3(3(1(1(2(z0))))))))))), 0'(3(3(1(3(3(3(1(1(2(z0)))))))))), 3'(3(1(3(3(3(1(1(2(z0))))))))), 3'(1(3(3(3(1(1(2(z0)))))))), 1'(3(3(3(1(1(2(z0))))))), 3'(3(3(1(1(2(z0)))))), 3'(3(1(1(2(z0))))), 3'(1(1(2(z0)))), 1'(1(2(z0))), 1'(2(z0)), 2'(z0))
   3'(c_3(c_1(c_0(c_1(c_3(c_0(c_0(c_3(c_1(c_2(c_1(c_0(c_0(c_3(c_0(c_1(c_0(c_3(c_1(z0)))))))))))))))))))) -> c106(1'(3(3(3(3(2(3(2(2(0(3(1(0(0(1(3(0(3(3(1(z0)))))))))))))))))))), 3'(3(3(3(2(3(2(2(0(3(1(0(0(1(3(0(3(3(1(z0))))))))))))))))))), 3'(3(3(2(3(2(2(0(3(1(0(0(1(3(0(3(3(1(z0)))))))))))))))))), 3'(3(2(3(2(2(0(3(1(0(0(1(3(0(3(3(1(z0))))))))))))))))), 3'(2(3(2(2(0(3(1(0(0(1(3(0(3(3(1(z0)))))))))))))))), 2'(3(2(2(0(3(1(0(0(1(3(0(3(3(1(z0))))))))))))))), 3'(2(2(0(3(1(0(0(1(3(0(3(3(1(z0)))))))))))))), 2'(2(0(3(1(0(0(1(3(0(3(3(1(z0))))))))))))), 2'(0(3(1(0(0(1(3(0(3(3(1(z0)))))))))))), 0'(3(1(0(0(1(3(0(3(3(1(z0))))))))))), 3'(1(0(0(1(3(0(3(3(1(z0)))))))))), 1'(0(0(1(3(0(3(3(1(z0))))))))), 0'(0(1(3(0(3(3(1(z0)))))))), 0'(1(3(0(3(3(1(z0))))))), 1'(3(0(3(3(1(z0)))))), 3'(0(3(3(1(z0))))), 0'(3(3(1(z0)))), 3'(3(1(z0))), 3'(1(z0)), 1'(z0))
   3'(c_3(c_3(c_3(c_1(c_1(c_3(c_2(c_3(c_0(c_3(c_3(c_0(c_3(c_2(c_1(c_0(c_0(c_2(c_2(z0)))))))))))))))))))) -> c107(3'(3(0(3(0(0(3(3(3(1(3(1(1(0(3(0(2(0(1(2(z0)))))))))))))))))))), 3'(0(3(0(0(3(3(3(1(3(1(1(0(3(0(2(0(1(2(z0))))))))))))))))))), 0'(3(0(0(3(3(3(1(3(1(1(0(3(0(2(0(1(2(z0)))))))))))))))))), 3'(0(0(3(3(3(1(3(1(1(0(3(0(2(0(1(2(z0))))))))))))))))), 0'(0(3(3(3(1(3(1(1(0(3(0(2(0(1(2(z0)))))))))))))))), 0'(3(3(3(1(3(1(1(0(3(0(2(0(1(2(z0))))))))))))))), 3'(3(3(1(3(1(1(0(3(0(2(0(1(2(z0)))))))))))))), 3'(3(1(3(1(1(0(3(0(2(0(1(2(z0))))))))))))), 3'(1(3(1(1(0(3(0(2(0(1(2(z0)))))))))))), 1'(3(1(1(0(3(0(2(0(1(2(z0))))))))))), 3'(1(1(0(3(0(2(0(1(2(z0)))))))))), 1'(1(0(3(0(2(0(1(2(z0))))))))), 1'(0(3(0(2(0(1(2(z0)))))))), 0'(3(0(2(0(1(2(z0))))))), 3'(0(2(0(1(2(z0)))))), 0'(2(0(1(2(z0))))), 2'(0(1(2(z0)))), 0'(1(2(z0))), 1'(2(z0)), 2'(z0))
   3'(c_2(c_3(c_0(c_1(c_3(c_2(c_2(c_0(c_1(c_1(c_3(c_3(c_3(c_1(c_2(c_3(c_1(c_1(c_0(z0)))))))))))))))))))) -> c108(0'(0(0(0(3(2(3(1(1(1(0(1(0(0(3(3(0(2(3(1(z0)))))))))))))))))))), 0'(0(0(3(2(3(1(1(1(0(1(0(0(3(3(0(2(3(1(z0))))))))))))))))))), 0'(0(3(2(3(1(1(1(0(1(0(0(3(3(0(2(3(1(z0)))))))))))))))))), 0'(3(2(3(1(1(1(0(1(0(0(3(3(0(2(3(1(z0))))))))))))))))), 3'(2(3(1(1(1(0(1(0(0(3(3(0(2(3(1(z0)))))))))))))))), 2'(3(1(1(1(0(1(0(0(3(3(0(2(3(1(z0))))))))))))))), 3'(1(1(1(0(1(0(0(3(3(0(2(3(1(z0)))))))))))))), 1'(1(1(0(1(0(0(3(3(0(2(3(1(z0))))))))))))), 1'(1(0(1(0(0(3(3(0(2(3(1(z0)))))))))))), 1'(0(1(0(0(3(3(0(2(3(1(z0))))))))))), 0'(1(0(0(3(3(0(2(3(1(z0)))))))))), 1'(0(0(3(3(0(2(3(1(z0))))))))), 0'(0(3(3(0(2(3(1(z0)))))))), 0'(3(3(0(2(3(1(z0))))))), 3'(3(0(2(3(1(z0)))))), 3'(0(2(3(1(z0))))), 0'(2(3(1(z0)))), 2'(3(1(z0))), 3'(1(z0)), 1'(z0))
   3'(c_0(c_3(c_2(c_2(c_2(c_3(c_1(c_3(c_0(c_2(c_1(c_0(c_1(c_0(c_2(c_2(c_3(c_3(c_1(z0)))))))))))))))))))) -> c109(2'(3(0(0(3(1(2(0(3(3(0(0(0(3(3(3(1(0(2(2(z0)))))))))))))))))))), 3'(0(0(3(1(2(0(3(3(0(0(0(3(3(3(1(0(2(2(z0))))))))))))))))))), 0'(0(3(1(2(0(3(3(0(0(0(3(3(3(1(0(2(2(z0)))))))))))))))))), 0'(3(1(2(0(3(3(0(0(0(3(3(3(1(0(2(2(z0))))))))))))))))), 3'(1(2(0(3(3(0(0(0(3(3(3(1(0(2(2(z0)))))))))))))))), 1'(2(0(3(3(0(0(0(3(3(3(1(0(2(2(z0))))))))))))))), 2'(0(3(3(0(0(0(3(3(3(1(0(2(2(z0)))))))))))))), 0'(3(3(0(0(0(3(3(3(1(0(2(2(z0))))))))))))), 3'(3(0(0(0(3(3(3(1(0(2(2(z0)))))))))))), 3'(0(0(0(3(3(3(1(0(2(2(z0))))))))))), 0'(0(0(3(3(3(1(0(2(2(z0)))))))))), 0'(0(3(3(3(1(0(2(2(z0))))))))), 0'(3(3(3(1(0(2(2(z0)))))))), 3'(3(3(1(0(2(2(z0))))))), 3'(3(1(0(2(2(z0)))))), 3'(1(0(2(2(z0))))), 1'(0(2(2(z0)))), 0'(2(2(z0))), 2'(2(z0)), 2'(z0))
   3'(c_2(c_0(c_3(c_3(c_1(c_3(c_2(c_3(c_0(c_3(c_2(c_3(c_1(c_3(c_0(c_2(c_1(c_3(c_0(z0)))))))))))))))))))) -> c110(3'(3(3(0(2(3(3(0(2(0(3(3(3(3(1(0(0(1(3(0(z0)))))))))))))))))))), 3'(3(0(2(3(3(0(2(0(3(3(3(3(1(0(0(1(3(0(z0))))))))))))))))))), 3'(0(2(3(3(0(2(0(3(3(3(3(1(0(0(1(3(0(z0)))))))))))))))))), 0'(2(3(3(0(2(0(3(3(3(3(1(0(0(1(3(0(z0))))))))))))))))), 2'(3(3(0(2(0(3(3(3(3(1(0(0(1(3(0(z0)))))))))))))))), 3'(3(0(2(0(3(3(3(3(1(0(0(1(3(0(z0))))))))))))))), 3'(0(2(0(3(3(3(3(1(0(0(1(3(0(z0)))))))))))))), 0'(2(0(3(3(3(3(1(0(0(1(3(0(z0))))))))))))), 2'(0(3(3(3(3(1(0(0(1(3(0(z0)))))))))))), 0'(3(3(3(3(1(0(0(1(3(0(z0))))))))))), 3'(3(3(3(1(0(0(1(3(0(z0)))))))))), 3'(3(3(1(0(0(1(3(0(z0))))))))), 3'(3(1(0(0(1(3(0(z0)))))))), 3'(1(0(0(1(3(0(z0))))))), 1'(0(0(1(3(0(z0)))))), 0'(0(1(3(0(z0))))), 0'(1(3(0(z0)))), 1'(3(0(z0))), 3'(0(z0)), 0'(z0))
   ENCODE_0(z0) -> c8(0'(encArg(z0)))
   ENCODE_1(z0) -> c8(1'(encArg(z0)))
   ENCODE_2(z0) -> c8(2'(encArg(z0)))
   ENCODE_3(z0) -> c8(3'(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_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_2(cons_0(z0))) -> c2(2'(0(encArg(z0))), ENCARG(cons_0(z0)))
   ENCARG(cons_2(cons_1(z0))) -> c2(2'(1(encArg(z0))), ENCARG(cons_1(z0)))
   ENCARG(cons_2(cons_2(z0))) -> c2(2'(2(encArg(z0))), ENCARG(cons_2(z0)))
   ENCARG(cons_2(cons_3(z0))) -> c2(2'(3(encArg(z0))), ENCARG(cons_3(z0)))
   ENCARG(cons_3(cons_0(z0))) -> c3(3'(0(encArg(z0))), ENCARG(cons_0(z0)))
   ENCARG(cons_3(cons_1(z0))) -> c3(3'(1(encArg(z0))), ENCARG(cons_1(z0)))
   ENCARG(cons_3(cons_2(z0))) -> c3(3'(2(encArg(z0))), ENCARG(cons_2(z0)))
   ENCARG(cons_3(cons_3(z0))) -> c3(3'(3(encArg(z0))), ENCARG(cons_3(z0)))
S tuples:
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   0'(c_0(c_1(c_1(c_0(c_1(c_0(c_2(c_3(c_1(c_3(c_3(c_3(c_1(c_2(c_2(c_0(c_0(c_2(c_3(z0)))))))))))))))))))) -> c12(0'(0(3(0(2(1(3(3(1(3(2(3(3(3(2(0(0(1(0(2(z0)))))))))))))))))))), 0'(3(0(2(1(3(3(1(3(2(3(3(3(2(0(0(1(0(2(z0))))))))))))))))))), 3'(0(2(1(3(3(1(3(2(3(3(3(2(0(0(1(0(2(z0)))))))))))))))))), 0'(2(1(3(3(1(3(2(3(3(3(2(0(0(1(0(2(z0))))))))))))))))), 2'(1(3(3(1(3(2(3(3(3(2(0(0(1(0(2(z0)))))))))))))))), 1'(3(3(1(3(2(3(3(3(2(0(0(1(0(2(z0))))))))))))))), 3'(3(1(3(2(3(3(3(2(0(0(1(0(2(z0)))))))))))))), 3'(1(3(2(3(3(3(2(0(0(1(0(2(z0))))))))))))), 1'(3(2(3(3(3(2(0(0(1(0(2(z0)))))))))))), 3'(2(3(3(3(2(0(0(1(0(2(z0))))))))))), 2'(3(3(3(2(0(0(1(0(2(z0)))))))))), 3'(3(3(2(0(0(1(0(2(z0))))))))), 3'(3(2(0(0(1(0(2(z0)))))))), 3'(2(0(0(1(0(2(z0))))))), 2'(0(0(1(0(2(z0)))))), 0'(0(1(0(2(z0))))), 0'(1(0(2(z0)))), 1'(0(2(z0))), 0'(2(z0)), 2'(z0))
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   0'(c_3(c_0(c_2(c_0(c_1(c_3(c_0(c_1(c_2(c_3(c_2(c_1(c_1(c_0(c_0(c_3(c_3(c_2(c_3(z0)))))))))))))))))))) -> c14(0'(3(3(2(2(3(2(3(2(0(0(2(3(3(3(3(3(0(1(0(z0)))))))))))))))))))), 3'(3(2(2(3(2(3(2(0(0(2(3(3(3(3(3(0(1(0(z0))))))))))))))))))), 3'(2(2(3(2(3(2(0(0(2(3(3(3(3(3(0(1(0(z0)))))))))))))))))), 2'(2(3(2(3(2(0(0(2(3(3(3(3(3(0(1(0(z0))))))))))))))))), 2'(3(2(3(2(0(0(2(3(3(3(3(3(0(1(0(z0)))))))))))))))), 3'(2(3(2(0(0(2(3(3(3(3(3(0(1(0(z0))))))))))))))), 2'(3(2(0(0(2(3(3(3(3(3(0(1(0(z0)))))))))))))), 3'(2(0(0(2(3(3(3(3(3(0(1(0(z0))))))))))))), 2'(0(0(2(3(3(3(3(3(0(1(0(z0)))))))))))), 0'(0(2(3(3(3(3(3(0(1(0(z0))))))))))), 0'(2(3(3(3(3(3(0(1(0(z0)))))))))), 2'(3(3(3(3(3(0(1(0(z0))))))))), 3'(3(3(3(3(0(1(0(z0)))))))), 3'(3(3(3(0(1(0(z0))))))), 3'(3(3(0(1(0(z0)))))), 3'(3(0(1(0(z0))))), 3'(0(1(0(z0)))), 0'(1(0(z0))), 1'(0(z0)), 0'(z0))
   0'(c_3(c_2(c_2(c_2(c_3(c_2(c_2(c_3(c_1(c_3(c_0(c_3(c_2(c_3(c_0(c_3(c_3(c_1(c_3(z0)))))))))))))))))))) -> c15(3'(0(3(3(3(3(3(2(3(3(3(1(0(0(3(2(0(2(2(1(z0)))))))))))))))))))), 0'(3(3(3(3(3(2(3(3(3(1(0(0(3(2(0(2(2(1(z0))))))))))))))))))), 3'(3(3(3(3(2(3(3(3(1(0(0(3(2(0(2(2(1(z0)))))))))))))))))), 3'(3(3(3(2(3(3(3(1(0(0(3(2(0(2(2(1(z0))))))))))))))))), 3'(3(3(2(3(3(3(1(0(0(3(2(0(2(2(1(z0)))))))))))))))), 3'(3(2(3(3(3(1(0(0(3(2(0(2(2(1(z0))))))))))))))), 3'(2(3(3(3(1(0(0(3(2(0(2(2(1(z0)))))))))))))), 2'(3(3(3(1(0(0(3(2(0(2(2(1(z0))))))))))))), 3'(3(3(1(0(0(3(2(0(2(2(1(z0)))))))))))), 3'(3(1(0(0(3(2(0(2(2(1(z0))))))))))), 3'(1(0(0(3(2(0(2(2(1(z0)))))))))), 1'(0(0(3(2(0(2(2(1(z0))))))))), 0'(0(3(2(0(2(2(1(z0)))))))), 0'(3(2(0(2(2(1(z0))))))), 3'(2(0(2(2(1(z0)))))), 2'(0(2(2(1(z0))))), 0'(2(2(1(z0)))), 2'(2(1(z0))), 2'(1(z0)), 1'(z0))
   0'(c_0(c_3(c_1(c_0(c_2(c_0(c_3(c_1(c_0(c_0(c_3(c_0(c_0(c_0(c_3(c_2(c_0(c_2(c_3(z0)))))))))))))))))))) -> c16(0'(0(1(0(2(1(3(0(1(0(0(3(1(0(3(3(2(2(3(3(z0)))))))))))))))))))), 0'(1(0(2(1(3(0(1(0(0(3(1(0(3(3(2(2(3(3(z0))))))))))))))))))), 1'(0(2(1(3(0(1(0(0(3(1(0(3(3(2(2(3(3(z0)))))))))))))))))), 0'(2(1(3(0(1(0(0(3(1(0(3(3(2(2(3(3(z0))))))))))))))))), 2'(1(3(0(1(0(0(3(1(0(3(3(2(2(3(3(z0)))))))))))))))), 1'(3(0(1(0(0(3(1(0(3(3(2(2(3(3(z0))))))))))))))), 3'(0(1(0(0(3(1(0(3(3(2(2(3(3(z0)))))))))))))), 0'(1(0(0(3(1(0(3(3(2(2(3(3(z0))))))))))))), 1'(0(0(3(1(0(3(3(2(2(3(3(z0)))))))))))), 0'(0(3(1(0(3(3(2(2(3(3(z0))))))))))), 0'(3(1(0(3(3(2(2(3(3(z0)))))))))), 3'(1(0(3(3(2(2(3(3(z0))))))))), 1'(0(3(3(2(2(3(3(z0)))))))), 0'(3(3(2(2(3(3(z0))))))), 3'(3(2(2(3(3(z0)))))), 3'(2(2(3(3(z0))))), 2'(2(3(3(z0)))), 2'(3(3(z0))), 3'(3(z0)), 3'(z0))
   0'(c_0(c_0(c_1(c_1(c_0(c_3(c_3(c_3(c_3(c_0(c_1(c_0(c_2(c_2(c_1(c_3(c_2(c_0(c_0(z0)))))))))))))))))))) -> c17(0'(0(1(3(3(0(1(3(3(0(1(2(3(2(2(0(3(2(3(3(z0)))))))))))))))))))), 0'(1(3(3(0(1(3(3(0(1(2(3(2(2(0(3(2(3(3(z0))))))))))))))))))), 1'(3(3(0(1(3(3(0(1(2(3(2(2(0(3(2(3(3(z0)))))))))))))))))), 3'(3(0(1(3(3(0(1(2(3(2(2(0(3(2(3(3(z0))))))))))))))))), 3'(0(1(3(3(0(1(2(3(2(2(0(3(2(3(3(z0)))))))))))))))), 0'(1(3(3(0(1(2(3(2(2(0(3(2(3(3(z0))))))))))))))), 1'(3(3(0(1(2(3(2(2(0(3(2(3(3(z0)))))))))))))), 3'(3(0(1(2(3(2(2(0(3(2(3(3(z0))))))))))))), 3'(0(1(2(3(2(2(0(3(2(3(3(z0)))))))))))), 0'(1(2(3(2(2(0(3(2(3(3(z0))))))))))), 1'(2(3(2(2(0(3(2(3(3(z0)))))))))), 2'(3(2(2(0(3(2(3(3(z0))))))))), 3'(2(2(0(3(2(3(3(z0)))))))), 2'(2(0(3(2(3(3(z0))))))), 2'(0(3(2(3(3(z0)))))), 0'(3(2(3(3(z0))))), 3'(2(3(3(z0)))), 2'(3(3(z0))), 3'(3(z0)), 3'(z0))
   0'(c_1(c_3(c_1(c_2(c_1(c_3(c_1(c_3(c_3(c_1(c_2(c_2(c_1(c_0(c_3(c_2(c_1(c_1(c_1(z0)))))))))))))))))))) -> c18(0'(0(2(0(0(3(3(1(1(1(1(3(0(1(1(0(0(2(1(2(z0)))))))))))))))))))), 0'(2(0(0(3(3(1(1(1(1(3(0(1(1(0(0(2(1(2(z0))))))))))))))))))), 2'(0(0(3(3(1(1(1(1(3(0(1(1(0(0(2(1(2(z0)))))))))))))))))), 0'(0(3(3(1(1(1(1(3(0(1(1(0(0(2(1(2(z0))))))))))))))))), 0'(3(3(1(1(1(1(3(0(1(1(0(0(2(1(2(z0)))))))))))))))), 3'(3(1(1(1(1(3(0(1(1(0(0(2(1(2(z0))))))))))))))), 3'(1(1(1(1(3(0(1(1(0(0(2(1(2(z0)))))))))))))), 1'(1(1(1(3(0(1(1(0(0(2(1(2(z0))))))))))))), 1'(1(1(3(0(1(1(0(0(2(1(2(z0)))))))))))), 1'(1(3(0(1(1(0(0(2(1(2(z0))))))))))), 1'(3(0(1(1(0(0(2(1(2(z0)))))))))), 3'(0(1(1(0(0(2(1(2(z0))))))))), 0'(1(1(0(0(2(1(2(z0)))))))), 1'(1(0(0(2(1(2(z0))))))), 1'(0(0(2(1(2(z0)))))), 0'(0(2(1(2(z0))))), 0'(2(1(2(z0)))), 2'(1(2(z0))), 1'(2(z0)), 2'(z0))
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   3'(c_1(c_3(c_0(c_2(c_1(c_1(c_2(c_0(c_3(c_2(c_2(c_1(c_3(c_1(c_1(c_2(c_2(c_3(c_3(z0)))))))))))))))))))) -> c102(1'(0(0(1(3(0(1(1(2(0(3(3(3(3(0(0(3(0(3(2(z0)))))))))))))))))))), 0'(0(1(3(0(1(1(2(0(3(3(3(3(0(0(3(0(3(2(z0))))))))))))))))))), 0'(1(3(0(1(1(2(0(3(3(3(3(0(0(3(0(3(2(z0)))))))))))))))))), 1'(3(0(1(1(2(0(3(3(3(3(0(0(3(0(3(2(z0))))))))))))))))), 3'(0(1(1(2(0(3(3(3(3(0(0(3(0(3(2(z0)))))))))))))))), 0'(1(1(2(0(3(3(3(3(0(0(3(0(3(2(z0))))))))))))))), 1'(1(2(0(3(3(3(3(0(0(3(0(3(2(z0)))))))))))))), 1'(2(0(3(3(3(3(0(0(3(0(3(2(z0))))))))))))), 2'(0(3(3(3(3(0(0(3(0(3(2(z0)))))))))))), 0'(3(3(3(3(0(0(3(0(3(2(z0))))))))))), 3'(3(3(3(0(0(3(0(3(2(z0)))))))))), 3'(3(3(0(0(3(0(3(2(z0))))))))), 3'(3(0(0(3(0(3(2(z0)))))))), 3'(0(0(3(0(3(2(z0))))))), 0'(0(3(0(3(2(z0)))))), 0'(3(0(3(2(z0))))), 3'(0(3(2(z0)))), 0'(3(2(z0))), 3'(2(z0)), 2'(z0))
   3'(c_0(c_2(c_0(c_2(c_0(c_1(c_1(c_3(c_0(c_0(c_3(c_0(c_0(c_2(c_0(c_0(c_3(c_2(c_3(z0)))))))))))))))))))) -> c103(0'(3(2(2(0(3(3(3(1(1(0(0(3(0(2(2(1(1(3(3(z0)))))))))))))))))))), 3'(2(2(0(3(3(3(1(1(0(0(3(0(2(2(1(1(3(3(z0))))))))))))))))))), 2'(2(0(3(3(3(1(1(0(0(3(0(2(2(1(1(3(3(z0)))))))))))))))))), 2'(0(3(3(3(1(1(0(0(3(0(2(2(1(1(3(3(z0))))))))))))))))), 0'(3(3(3(1(1(0(0(3(0(2(2(1(1(3(3(z0)))))))))))))))), 3'(3(3(1(1(0(0(3(0(2(2(1(1(3(3(z0))))))))))))))), 3'(3(1(1(0(0(3(0(2(2(1(1(3(3(z0)))))))))))))), 3'(1(1(0(0(3(0(2(2(1(1(3(3(z0))))))))))))), 1'(1(0(0(3(0(2(2(1(1(3(3(z0)))))))))))), 1'(0(0(3(0(2(2(1(1(3(3(z0))))))))))), 0'(0(3(0(2(2(1(1(3(3(z0)))))))))), 0'(3(0(2(2(1(1(3(3(z0))))))))), 3'(0(2(2(1(1(3(3(z0)))))))), 0'(2(2(1(1(3(3(z0))))))), 2'(2(1(1(3(3(z0)))))), 2'(1(1(3(3(z0))))), 1'(1(3(3(z0)))), 1'(3(3(z0))), 3'(3(z0)), 3'(z0))
   3'(c_0(c_0(c_1(c_1(c_1(c_3(c_3(c_3(c_0(c_2(c_2(c_1(c_3(c_1(c_2(c_3(c_1(c_1(c_0(z0)))))))))))))))))))) -> c104(1'(3(0(2(1(3(3(2(0(2(3(1(3(0(3(0(0(2(1(0(z0)))))))))))))))))))), 3'(0(2(1(3(3(2(0(2(3(1(3(0(3(0(0(2(1(0(z0))))))))))))))))))), 0'(2(1(3(3(2(0(2(3(1(3(0(3(0(0(2(1(0(z0)))))))))))))))))), 2'(1(3(3(2(0(2(3(1(3(0(3(0(0(2(1(0(z0))))))))))))))))), 1'(3(3(2(0(2(3(1(3(0(3(0(0(2(1(0(z0)))))))))))))))), 3'(3(2(0(2(3(1(3(0(3(0(0(2(1(0(z0))))))))))))))), 3'(2(0(2(3(1(3(0(3(0(0(2(1(0(z0)))))))))))))), 2'(0(2(3(1(3(0(3(0(0(2(1(0(z0))))))))))))), 0'(2(3(1(3(0(3(0(0(2(1(0(z0)))))))))))), 2'(3(1(3(0(3(0(0(2(1(0(z0))))))))))), 3'(1(3(0(3(0(0(2(1(0(z0)))))))))), 1'(3(0(3(0(0(2(1(0(z0))))))))), 3'(0(3(0(0(2(1(0(z0)))))))), 0'(3(0(0(2(1(0(z0))))))), 3'(0(0(2(1(0(z0)))))), 0'(0(2(1(0(z0))))), 0'(2(1(0(z0)))), 2'(1(0(z0))), 1'(0(z0)), 0'(z0))
   3'(c_0(c_3(c_2(c_1(c_3(c_0(c_3(c_3(c_0(c_3(c_3(c_0(c_3(c_0(c_3(c_1(c_0(c_0(c_1(z0)))))))))))))))))))) -> c105(3'(3(3(3(2(3(0(1(0(0(0(3(3(1(3(3(3(1(1(2(z0)))))))))))))))))))), 3'(3(3(2(3(0(1(0(0(0(3(3(1(3(3(3(1(1(2(z0))))))))))))))))))), 3'(3(2(3(0(1(0(0(0(3(3(1(3(3(3(1(1(2(z0)))))))))))))))))), 3'(2(3(0(1(0(0(0(3(3(1(3(3(3(1(1(2(z0))))))))))))))))), 2'(3(0(1(0(0(0(3(3(1(3(3(3(1(1(2(z0)))))))))))))))), 3'(0(1(0(0(0(3(3(1(3(3(3(1(1(2(z0))))))))))))))), 0'(1(0(0(0(3(3(1(3(3(3(1(1(2(z0)))))))))))))), 1'(0(0(0(3(3(1(3(3(3(1(1(2(z0))))))))))))), 0'(0(0(3(3(1(3(3(3(1(1(2(z0)))))))))))), 0'(0(3(3(1(3(3(3(1(1(2(z0))))))))))), 0'(3(3(1(3(3(3(1(1(2(z0)))))))))), 3'(3(1(3(3(3(1(1(2(z0))))))))), 3'(1(3(3(3(1(1(2(z0)))))))), 1'(3(3(3(1(1(2(z0))))))), 3'(3(3(1(1(2(z0)))))), 3'(3(1(1(2(z0))))), 3'(1(1(2(z0)))), 1'(1(2(z0))), 1'(2(z0)), 2'(z0))
   3'(c_3(c_1(c_0(c_1(c_3(c_0(c_0(c_3(c_1(c_2(c_1(c_0(c_0(c_3(c_0(c_1(c_0(c_3(c_1(z0)))))))))))))))))))) -> c106(1'(3(3(3(3(2(3(2(2(0(3(1(0(0(1(3(0(3(3(1(z0)))))))))))))))))))), 3'(3(3(3(2(3(2(2(0(3(1(0(0(1(3(0(3(3(1(z0))))))))))))))))))), 3'(3(3(2(3(2(2(0(3(1(0(0(1(3(0(3(3(1(z0)))))))))))))))))), 3'(3(2(3(2(2(0(3(1(0(0(1(3(0(3(3(1(z0))))))))))))))))), 3'(2(3(2(2(0(3(1(0(0(1(3(0(3(3(1(z0)))))))))))))))), 2'(3(2(2(0(3(1(0(0(1(3(0(3(3(1(z0))))))))))))))), 3'(2(2(0(3(1(0(0(1(3(0(3(3(1(z0)))))))))))))), 2'(2(0(3(1(0(0(1(3(0(3(3(1(z0))))))))))))), 2'(0(3(1(0(0(1(3(0(3(3(1(z0)))))))))))), 0'(3(1(0(0(1(3(0(3(3(1(z0))))))))))), 3'(1(0(0(1(3(0(3(3(1(z0)))))))))), 1'(0(0(1(3(0(3(3(1(z0))))))))), 0'(0(1(3(0(3(3(1(z0)))))))), 0'(1(3(0(3(3(1(z0))))))), 1'(3(0(3(3(1(z0)))))), 3'(0(3(3(1(z0))))), 0'(3(3(1(z0)))), 3'(3(1(z0))), 3'(1(z0)), 1'(z0))
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   3'(c_2(c_3(c_0(c_1(c_3(c_2(c_2(c_0(c_1(c_1(c_3(c_3(c_3(c_1(c_2(c_3(c_1(c_1(c_0(z0)))))))))))))))))))) -> c108(0'(0(0(0(3(2(3(1(1(1(0(1(0(0(3(3(0(2(3(1(z0)))))))))))))))))))), 0'(0(0(3(2(3(1(1(1(0(1(0(0(3(3(0(2(3(1(z0))))))))))))))))))), 0'(0(3(2(3(1(1(1(0(1(0(0(3(3(0(2(3(1(z0)))))))))))))))))), 0'(3(2(3(1(1(1(0(1(0(0(3(3(0(2(3(1(z0))))))))))))))))), 3'(2(3(1(1(1(0(1(0(0(3(3(0(2(3(1(z0)))))))))))))))), 2'(3(1(1(1(0(1(0(0(3(3(0(2(3(1(z0))))))))))))))), 3'(1(1(1(0(1(0(0(3(3(0(2(3(1(z0)))))))))))))), 1'(1(1(0(1(0(0(3(3(0(2(3(1(z0))))))))))))), 1'(1(0(1(0(0(3(3(0(2(3(1(z0)))))))))))), 1'(0(1(0(0(3(3(0(2(3(1(z0))))))))))), 0'(1(0(0(3(3(0(2(3(1(z0)))))))))), 1'(0(0(3(3(0(2(3(1(z0))))))))), 0'(0(3(3(0(2(3(1(z0)))))))), 0'(3(3(0(2(3(1(z0))))))), 3'(3(0(2(3(1(z0)))))), 3'(0(2(3(1(z0))))), 0'(2(3(1(z0)))), 2'(3(1(z0))), 3'(1(z0)), 1'(z0))
   3'(c_0(c_3(c_2(c_2(c_2(c_3(c_1(c_3(c_0(c_2(c_1(c_0(c_1(c_0(c_2(c_2(c_3(c_3(c_1(z0)))))))))))))))))))) -> c109(2'(3(0(0(3(1(2(0(3(3(0(0(0(3(3(3(1(0(2(2(z0)))))))))))))))))))), 3'(0(0(3(1(2(0(3(3(0(0(0(3(3(3(1(0(2(2(z0))))))))))))))))))), 0'(0(3(1(2(0(3(3(0(0(0(3(3(3(1(0(2(2(z0)))))))))))))))))), 0'(3(1(2(0(3(3(0(0(0(3(3(3(1(0(2(2(z0))))))))))))))))), 3'(1(2(0(3(3(0(0(0(3(3(3(1(0(2(2(z0)))))))))))))))), 1'(2(0(3(3(0(0(0(3(3(3(1(0(2(2(z0))))))))))))))), 2'(0(3(3(0(0(0(3(3(3(1(0(2(2(z0)))))))))))))), 0'(3(3(0(0(0(3(3(3(1(0(2(2(z0))))))))))))), 3'(3(0(0(0(3(3(3(1(0(2(2(z0)))))))))))), 3'(0(0(0(3(3(3(1(0(2(2(z0))))))))))), 0'(0(0(3(3(3(1(0(2(2(z0)))))))))), 0'(0(3(3(3(1(0(2(2(z0))))))))), 0'(3(3(3(1(0(2(2(z0)))))))), 3'(3(3(1(0(2(2(z0))))))), 3'(3(1(0(2(2(z0)))))), 3'(1(0(2(2(z0))))), 1'(0(2(2(z0)))), 0'(2(2(z0))), 2'(2(z0)), 2'(z0))
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K tuples:none
Defined Rule Symbols:   encArg_1, 0_1, 1_1, 2_1, 3_1

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

Compound Symbols:   c9_20, c10_20, 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_20, c33_20, c34_20, c35_20, c37_20, c38_20, c39_20, c40_20, c41_20, c42_20, c43_20, c44_20, c45_20, c46_20, c47_20, c48_20, c49_20, c50_20, c51_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_20, c73_20, c74_20, c75_20, c76_20, c77_20, c78_20, c79_20, c80_20, c81_20, c82_20, c83_20, c84_20, c85_20, c86_20, c87_20, c88_20, c90_20, c91_20, c92_20, c93_20, c94_20, c95_20, c96_20, c97_20, c98_20, c99_20, c100_20, c101_20, c102_20, c103_20, c104_20, c105_20, c106_20, c107_20, c108_20, c109_20, c110_20, c8_1, c_2, c1_2, c2_2, c3_2