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


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


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# AProVE Commit ID: 794c25de1cacf0d048858bcd21c9a779e1221865 marcel 20200619 unpublished dirty


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

(0) DCpxTrs
(1) DerivationalComplexityToRuntimeComplexityProof [BOTH BOUNDS(ID, ID), 0 ms]
(2) CpxRelTRS
(3) SInnermostTerminationProof [BOTH CONCRETE BOUNDS(ID, ID), 55 ms]
(4) CpxRelTRS
(5) RelTrsToDecreasingLoopProblemProof [LOWER BOUND(ID), 0 ms]
(6) TRS for Loop Detection
(7) RenamingProof [BOTH BOUNDS(ID, ID), 0 ms]
(8) CpxRelTRS
    (9) TypeInferenceProof [BOTH BOUNDS(ID, ID), 0 ms]
    (10) typed CpxTrs
    (11) OrderProof [LOWER BOUND(ID), 0 ms]
    (12) typed CpxTrs
(13) RelTrsToTrsProof [UPPER BOUND(ID), 0 ms]
(14) CpxTRS
(15) NonCtorToCtorProof [UPPER BOUND(ID), 0 ms]
(16) CpxRelTRS
    (17) RcToIrcProof [BOTH BOUNDS(ID, ID), 1266 ms]
    (18) CpxRelTRS
    (19) RelTrsToWeightedTrsProof [BOTH BOUNDS(ID, ID), 0 ms]
    (20) CpxWeightedTrs
        (21) CpxWeightedTrsRenamingProof [BOTH BOUNDS(ID, ID), 36 ms]
        (22) CpxWeightedTrs
        (23) TypeInferenceProof [BOTH BOUNDS(ID, ID), 0 ms]
        (24) CpxTypedWeightedTrs
        (25) CompletionProof [UPPER BOUND(ID), 0 ms]
        (26) CpxTypedWeightedCompleteTrs
            (27) NarrowingProof [BOTH BOUNDS(ID, ID), 1553 ms]
            (28) CpxTypedWeightedCompleteTrs
            (29) CpxTypedWeightedTrsToRntsProof [UPPER BOUND(ID), 87 ms]
            (30) CpxRNTS
            (31) SimplificationProof [BOTH BOUNDS(ID, ID), 66 ms]
            (32) CpxRNTS
        (33) CompletionProof [UPPER BOUND(ID), 0 ms]
        (34) CpxTypedWeightedCompleteTrs
            (35) CpxTypedWeightedTrsToRntsProof [UPPER BOUND(ID), 14 ms]
            (36) CpxRNTS
    (37) CpxTrsToCdtProof [UPPER BOUND(ID), 1086 ms]
    (38) CdtProblem
        (39) CdtLeafRemovalProof [BOTH BOUNDS(ID, ID), 0 ms]
        (40) CdtProblem
        (41) CdtGraphSplitRhsProof [BOTH BOUNDS(ID, ID), 0 ms]
        (42) CdtProblem
        (43) CdtLeafRemovalProof [ComplexityIfPolyImplication, 0 ms]
        (44) CdtProblem
        (45) CdtUsableRulesProof [BOTH BOUNDS(ID, ID), 7543 ms]
        (46) CdtProblem
        (47) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 2264 ms]
        (48) CdtProblem
        (49) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 2284 ms]
        (50) CdtProblem
        (51) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 2238 ms]
        (52) CdtProblem
        (53) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 2237 ms]
        (54) CdtProblem
        (55) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 6097 ms]
        (56) CdtProblem


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

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


The TRS R consists of the following rules:

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

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

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

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


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

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


The TRS R consists of the following rules:

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

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

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

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

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

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


The TRS R consists of the following rules:

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

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

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

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

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

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

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


The TRS R consists of the following rules:

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

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

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

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

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

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


The TRS R consists of the following rules:

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

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

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

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

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

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

Types:
0 :: 2:0:1:3:encArg:encode_0:encode_3:encode_1:encode_2 -> 2:0:1:3:encArg:encode_0:encode_3:encode_1:encode_2
3 :: 2:0:1:3:encArg:encode_0:encode_3:encode_1:encode_2 -> 2:0:1:3:encArg:encode_0:encode_3:encode_1:encode_2
1 :: 2:0:1:3:encArg:encode_0:encode_3:encode_1:encode_2 -> 2:0:1:3:encArg:encode_0:encode_3:encode_1:encode_2
2 :: 2:0:1:3:encArg:encode_0:encode_3:encode_1:encode_2 -> 2:0:1:3:encArg:encode_0:encode_3:encode_1:encode_2
encArg :: cons_0:cons_1:cons_2:cons_3 -> 2:0:1:3:encArg:encode_0:encode_3:encode_1:encode_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 -> 2:0:1:3:encArg:encode_0:encode_3:encode_1:encode_2
encode_3 :: cons_0:cons_1:cons_2:cons_3 -> 2:0:1:3:encArg:encode_0:encode_3:encode_1:encode_2
encode_1 :: cons_0:cons_1:cons_2:cons_3 -> 2:0:1:3:encArg:encode_0:encode_3:encode_1:encode_2
encode_2 :: cons_0:cons_1:cons_2:cons_3 -> 2:0:1:3:encArg:encode_0:encode_3:encode_1:encode_2
hole_2:0:1:3:encArg:encode_0:encode_3:encode_1:encode_21_4 :: 2:0:1:3:encArg:encode_0:encode_3:encode_1:encode_2
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

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

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

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

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

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

Types:
0 :: 2:0:1:3:encArg:encode_0:encode_3:encode_1:encode_2 -> 2:0:1:3:encArg:encode_0:encode_3:encode_1:encode_2
3 :: 2:0:1:3:encArg:encode_0:encode_3:encode_1:encode_2 -> 2:0:1:3:encArg:encode_0:encode_3:encode_1:encode_2
1 :: 2:0:1:3:encArg:encode_0:encode_3:encode_1:encode_2 -> 2:0:1:3:encArg:encode_0:encode_3:encode_1:encode_2
2 :: 2:0:1:3:encArg:encode_0:encode_3:encode_1:encode_2 -> 2:0:1:3:encArg:encode_0:encode_3:encode_1:encode_2
encArg :: cons_0:cons_1:cons_2:cons_3 -> 2:0:1:3:encArg:encode_0:encode_3:encode_1:encode_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 -> 2:0:1:3:encArg:encode_0:encode_3:encode_1:encode_2
encode_3 :: cons_0:cons_1:cons_2:cons_3 -> 2:0:1:3:encArg:encode_0:encode_3:encode_1:encode_2
encode_1 :: cons_0:cons_1:cons_2:cons_3 -> 2:0:1:3:encArg:encode_0:encode_3:encode_1:encode_2
encode_2 :: cons_0:cons_1:cons_2:cons_3 -> 2:0:1:3:encArg:encode_0:encode_3:encode_1:encode_2
hole_2:0:1:3:encArg:encode_0:encode_3:encode_1:encode_21_4 :: 2:0:1:3:encArg:encode_0:encode_3:encode_1:encode_2
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:
3, 0, 2, 1, encArg

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

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

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

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


The TRS R consists of the following rules:

   0(0(0(0(3(0(3(1(3(1(2(2(1(3(1(0(0(2(x1)))))))))))))))))) -> 0(0(3(3(2(1(3(0(0(1(1(2(0(0(1(0(2(3(x1))))))))))))))))))
   0(0(0(1(0(0(0(2(1(1(2(0(1(0(1(2(0(0(x1)))))))))))))))))) -> 0(1(0(1(1(0(0(2(1(1(0(0(2(0(2(0(0(0(x1))))))))))))))))))
   0(0(0(3(0(3(0(1(2(1(0(0(0(1(2(3(3(3(x1)))))))))))))))))) -> 0(0(0(2(3(0(0(0(0(1(1(3(1(0(2(3(3(3(x1))))))))))))))))))
   0(0(1(0(1(1(1(0(2(2(3(3(1(3(0(2(1(0(x1)))))))))))))))))) -> 0(0(1(1(1(3(3(3(2(1(1(0(0(1(2(0(2(0(x1))))))))))))))))))
   0(0(1(1(1(3(2(2(2(1(3(2(3(0(0(0(0(0(x1)))))))))))))))))) -> 1(0(0(3(2(0(1(3(2(0(0(2(3(1(0(2(1(0(x1))))))))))))))))))
   0(0(1(2(0(0(3(3(2(1(3(3(3(1(1(1(1(2(x1)))))))))))))))))) -> 0(0(3(3(1(0(2(3(2(1(1(3(1(1(1(3(2(0(x1))))))))))))))))))
   0(0(1(2(0(1(0(1(1(0(1(2(2(3(3(1(2(2(x1)))))))))))))))))) -> 0(2(0(1(2(3(1(1(0(0(2(3(2(1(1(1(0(2(x1))))))))))))))))))
   0(0(1(3(1(0(3(1(1(3(1(2(3(1(2(2(1(1(x1)))))))))))))))))) -> 0(3(0(2(1(0(3(2(1(1(2(1(3(1(3(1(1(1(x1))))))))))))))))))
   0(0(1(3(2(1(0(0(3(2(3(1(3(0(0(2(0(0(x1)))))))))))))))))) -> 0(0(2(3(2(0(1(0(2(1(0(1(0(3(0(3(0(3(x1))))))))))))))))))
   0(0(2(2(1(1(3(0(2(2(2(2(0(3(3(0(1(0(x1)))))))))))))))))) -> 0(2(2(1(1(0(2(3(0(0(2(0(2(1(3(2(3(0(x1))))))))))))))))))
   0(0(2(3(3(3(0(0(1(1(2(2(0(3(2(3(3(0(x1)))))))))))))))))) -> 0(3(0(2(3(0(1(3(3(2(0(0(3(3(2(1(2(0(x1))))))))))))))))))
   0(0(3(0(2(0(1(1(3(1(0(2(0(0(0(2(1(1(x1)))))))))))))))))) -> 0(3(1(0(3(2(0(1(0(1(0(0(2(0(1(2(0(1(x1))))))))))))))))))
   0(0(3(0(3(1(2(0(3(0(3(1(0(0(1(0(1(3(x1)))))))))))))))))) -> 0(3(0(0(3(3(0(1(0(3(0(1(0(0(2(1(1(3(x1))))))))))))))))))
   0(0(3(0(3(3(3(1(1(1(3(1(1(2(1(2(3(0(x1)))))))))))))))))) -> 0(3(3(1(2(1(3(0(3(3(2(0(1(1(0(1(1(3(x1))))))))))))))))))
   0(0(3(2(1(3(1(3(3(0(1(2(0(0(0(2(0(2(x1)))))))))))))))))) -> 0(3(0(0(2(1(3(1(2(3(2(1(0(0(0(3(2(0(x1))))))))))))))))))
   0(0(3(3(1(2(3(0(2(3(3(3(0(0(3(2(2(3(x1)))))))))))))))))) -> 3(0(3(3(2(0(2(3(2(0(3(1(3(3(2(0(0(3(x1))))))))))))))))))
   0(1(2(3(0(2(1(2(3(0(0(3(0(1(0(1(3(0(x1)))))))))))))))))) -> 0(2(0(0(0(2(3(3(1(1(3(2(0(3(0(0(1(1(x1))))))))))))))))))
   0(1(3(0(1(0(1(1(2(2(2(3(3(0(3(0(0(0(x1)))))))))))))))))) -> 0(2(1(0(0(3(2(0(0(3(3(3(1(1(0(1(2(0(x1))))))))))))))))))
   0(2(2(3(2(3(2(2(2(2(2(3(3(0(0(0(0(3(x1)))))))))))))))))) -> 0(2(0(3(2(2(0(3(3(3(2(2(2(0(2(0(2(3(x1))))))))))))))))))
   0(2(3(3(1(0(3(0(0(0(2(0(1(3(1(3(3(0(x1)))))))))))))))))) -> 0(3(0(3(3(2(3(2(3(0(0(0(0(1(1(1(3(0(x1))))))))))))))))))
   0(3(0(3(2(2(0(3(3(1(0(0(3(0(3(0(1(0(x1)))))))))))))))))) -> 0(3(0(0(3(3(3(2(1(3(2(0(0(1(3(0(0(0(x1))))))))))))))))))
   0(3(1(2(3(1(0(3(3(3(1(3(0(3(2(2(1(2(x1)))))))))))))))))) -> 1(0(3(1(0(3(3(3(3(2(3(2(3(2(0(2(1(1(x1))))))))))))))))))
   0(3(3(3(1(2(0(0(3(2(0(1(2(1(3(0(2(0(x1)))))))))))))))))) -> 0(2(1(0(1(0(1(0(0(3(3(2(3(0(2(3(2(3(x1))))))))))))))))))
   1(0(0(0(3(0(0(1(3(1(2(1(2(2(1(2(3(1(x1)))))))))))))))))) -> 1(3(0(0(0(3(2(1(2(1(0(0(1(3(2(2(1(1(x1))))))))))))))))))
   1(0(2(3(1(3(2(2(3(1(2(0(1(0(3(0(0(0(x1)))))))))))))))))) -> 1(0(3(3(2(1(3(2(3(0(1(2(0(0(2(1(0(0(x1))))))))))))))))))
   1(0(3(0(2(3(0(3(1(3(1(1(2(0(3(0(3(0(x1)))))))))))))))))) -> 1(0(1(0(2(3(0(3(0(3(0(3(3(1(0(2(1(3(x1))))))))))))))))))
   1(0(3(3(3(0(2(3(0(2(1(1(0(3(3(1(3(1(x1)))))))))))))))))) -> 1(3(3(1(1(1(0(3(0(0(3(3(3(2(3(2(0(1(x1))))))))))))))))))
   1(1(1(2(1(2(3(0(0(2(3(0(3(1(3(2(0(2(x1)))))))))))))))))) -> 1(1(1(3(0(2(0(2(0(2(3(2(0(3(3(1(1(2(x1))))))))))))))))))
   1(1(2(1(3(0(2(1(0(0(3(0(1(2(2(0(3(3(x1)))))))))))))))))) -> 1(0(3(2(1(0(3(3(1(0(2(2(0(1(0(2(1(3(x1))))))))))))))))))
   1(1(2(3(3(1(0(0(3(1(3(3(3(0(0(1(3(1(x1)))))))))))))))))) -> 1(3(0(2(3(3(3(1(1(0(3(3(3(0(1(1(0(1(x1))))))))))))))))))
   1(2(0(0(1(1(0(1(2(0(1(1(2(0(0(3(3(1(x1)))))))))))))))))) -> 1(1(1(0(1(0(1(0(1(0(0(2(0(1(3(3(2(2(x1))))))))))))))))))
   1(2(1(0(1(3(0(3(3(1(3(1(2(2(3(0(2(0(x1)))))))))))))))))) -> 1(1(3(3(2(0(0(3(2(1(2(3(3(2(0(1(1(0(x1))))))))))))))))))
   1(2(1(2(2(0(1(3(0(2(3(2(2(3(2(3(3(0(x1)))))))))))))))))) -> 1(2(0(3(0(2(2(1(3(3(2(2(2(3(3(2(1(0(x1))))))))))))))))))
   1(2(1(2(3(0(3(0(2(2(0(2(3(2(0(1(1(2(x1)))))))))))))))))) -> 1(0(1(3(2(2(0(2(1(2(1(3(2(0(2(3(0(2(x1))))))))))))))))))
   1(2(1(3(1(1(3(0(3(1(1(1(1(1(3(0(1(3(x1)))))))))))))))))) -> 1(0(1(1(0(3(1(3(3(1(1(3(2(1(1(1(1(3(x1))))))))))))))))))
   1(2(2(3(2(1(3(0(3(1(3(3(1(3(0(3(3(3(x1)))))))))))))))))) -> 1(3(3(1(1(2(0(3(3(2(3(1(3(2(0(3(3(3(x1))))))))))))))))))
   1(2(2(3(3(0(1(2(1(0(3(1(2(3(1(1(2(2(x1)))))))))))))))))) -> 1(3(3(2(3(3(1(2(2(0(1(2(2(2(1(1(1(0(x1))))))))))))))))))
   1(2(3(1(3(0(1(1(3(1(3(1(2(0(3(2(3(0(x1)))))))))))))))))) -> 1(1(3(2(1(3(3(0(2(0(3(3(1(1(3(2(0(1(x1))))))))))))))))))
   1(3(0(0(1(2(3(3(2(3(1(1(3(1(0(3(1(2(x1)))))))))))))))))) -> 1(1(2(3(3(3(3(1(1(0(2(0(1(3(3(2(0(1(x1))))))))))))))))))
   1(3(0(3(3(0(2(3(1(0(0(0(3(2(1(2(3(3(x1)))))))))))))))))) -> 1(3(0(2(0(0(3(1(0(2(1(0(2(3(3(3(3(3(x1))))))))))))))))))
   1(3(1(1(1(2(0(2(1(2(0(3(3(1(2(2(3(1(x1)))))))))))))))))) -> 1(2(1(2(1(2(2(1(1(1(1(0(3(3(3(0(3(2(x1))))))))))))))))))
   1(3(1(2(0(1(2(0(0(1(0(0(2(3(0(1(1(2(x1)))))))))))))))))) -> 1(3(2(2(0(2(1(0(1(0(0(1(2(0(1(1(3(0(x1))))))))))))))))))
   1(3(1(2(2(2(0(3(3(2(1(0(3(3(0(0(3(0(x1)))))))))))))))))) -> 1(3(2(3(0(2(3(3(3(0(0(2(0(1(3(2(1(0(x1))))))))))))))))))
   1(3(3(0(3(1(0(1(3(1(2(2(0(3(1(1(0(0(x1)))))))))))))))))) -> 1(3(2(0(3(0(0(0(3(2(1(3(1(1(1(1(3(0(x1))))))))))))))))))
   2(0(0(0(0(3(1(2(2(0(3(0(2(0(3(1(3(2(x1)))))))))))))))))) -> 2(0(1(0(2(3(2(0(3(3(2(3(0(2(1(0(0(0(x1))))))))))))))))))
   2(0(0(2(2(0(3(0(1(0(2(3(3(1(2(1(2(2(x1)))))))))))))))))) -> 2(0(1(2(2(3(0(3(3(2(0(1(2(2(1(0(2(0(x1))))))))))))))))))
   2(0(0(3(0(3(1(1(2(2(2(2(3(2(0(0(3(0(x1)))))))))))))))))) -> 2(0(3(0(1(3(2(2(3(0(1(3(2(2(0(2(0(0(x1))))))))))))))))))
   2(0(0(3(1(2(1(3(0(2(2(2(1(2(2(2(3(1(x1)))))))))))))))))) -> 2(1(0(3(2(2(1(2(3(2(2(0(3(2(2(0(1(1(x1))))))))))))))))))
   2(0(1(1(2(1(1(2(2(1(1(2(1(2(2(0(0(2(x1)))))))))))))))))) -> 2(0(2(1(2(1(0(2(2(2(1(2(1(0(2(1(1(1(x1))))))))))))))))))
   2(1(2(0(2(1(3(0(1(2(1(0(2(1(3(1(2(0(x1)))))))))))))))))) -> 2(1(2(3(1(0(1(0(0(2(1(1(3(2(0(2(1(2(x1))))))))))))))))))
   2(2(0(1(2(3(3(0(3(2(2(2(0(3(3(1(1(3(x1)))))))))))))))))) -> 2(1(3(2(0(3(3(0(2(1(1(3(2(0(3(2(2(3(x1))))))))))))))))))
   2(2(0(2(3(3(2(2(0(3(1(0(0(2(2(3(0(0(x1)))))))))))))))))) -> 2(2(0(0(3(3(2(3(2(3(2(0(2(0(0(0(1(2(x1))))))))))))))))))
   2(2(1(1(3(0(0(3(2(3(1(2(1(0(0(2(1(2(x1)))))))))))))))))) -> 2(1(0(0(2(1(0(3(3(2(2(1(1(1(0(3(2(2(x1))))))))))))))))))
   2(2(3(1(1(2(2(0(1(0(1(0(1(0(1(3(1(0(x1)))))))))))))))))) -> 2(0(1(0(1(1(0(3(2(1(1(0(2(2(3(1(1(0(x1))))))))))))))))))
   2(2(3(1(2(2(2(1(2(0(1(3(2(2(3(3(0(0(x1)))))))))))))))))) -> 2(1(2(2(3(3(2(2(0(1(0(2(2(3(1(0(2(3(x1))))))))))))))))))
   2(2(3(3(1(2(3(2(1(2(1(3(2(2(1(1(2(1(x1)))))))))))))))))) -> 2(1(1(1(2(2(3(2(3(3(3(2(1(2(1(2(2(1(x1))))))))))))))))))
   2(2(3(3(3(3(3(1(2(0(1(1(1(2(3(1(2(1(x1)))))))))))))))))) -> 1(3(3(3(2(0(1(2(1(2(1(3(2(3(3(2(1(1(x1))))))))))))))))))
   2(3(0(0(0(2(0(0(1(3(3(1(2(2(2(2(2(2(x1)))))))))))))))))) -> 2(1(2(2(3(0(0(3(0(3(2(0(0(2(2(1(2(2(x1))))))))))))))))))
   2(3(0(0(3(0(0(3(0(2(2(2(2(3(2(0(3(0(x1)))))))))))))))))) -> 2(2(3(0(2(0(0(2(0(3(3(2(3(3(2(0(0(0(x1))))))))))))))))))
   2(3(0(3(1(1(2(3(1(3(2(0(1(2(2(1(3(0(x1)))))))))))))))))) -> 2(1(1(0(1(2(1(3(3(3(2(2(0(2(1(3(3(0(x1))))))))))))))))))
   2(3(1(1(2(0(2(0(3(2(2(3(1(2(2(3(0(0(x1)))))))))))))))))) -> 2(2(2(2(1(3(0(2(0(3(2(1(0(1(0(3(2(3(x1))))))))))))))))))
   2(3(1(1(3(1(0(2(3(0(0(0(2(3(3(2(3(1(x1)))))))))))))))))) -> 2(3(3(2(0(2(1(0(3(3(0(3(1(0(1(2(3(1(x1))))))))))))))))))
   2(3(2(3(0(0(0(3(3(2(2(2(2(3(2(2(0(2(x1)))))))))))))))))) -> 2(3(3(2(3(2(0(2(2(0(0(3(2(0(2(2(3(2(x1))))))))))))))))))
   3(0(1(0(3(1(2(2(0(1(1(1(3(3(0(2(3(0(x1)))))))))))))))))) -> 0(3(3(2(1(0(0(2(3(3(1(1(0(1(1(3(2(0(x1))))))))))))))))))
   3(0(1(2(2(3(0(1(2(1(3(1(3(3(3(1(1(3(x1)))))))))))))))))) -> 0(2(1(3(3(3(2(1(1(0(1(3(3(2(1(1(3(3(x1))))))))))))))))))
   3(0(2(0(3(1(1(3(2(1(3(0(2(0(2(1(1(3(x1)))))))))))))))))) -> 1(3(3(2(0(0(0(1(3(3(2(0(1(1(2(1(2(3(x1))))))))))))))))))
   3(0(2(0(3(3(0(0(2(2(0(1(0(3(3(1(3(1(x1)))))))))))))))))) -> 3(0(2(1(0(1(3(3(2(0(0(3(0(3(2(3(1(0(x1))))))))))))))))))
   3(0(2(2(0(0(1(2(3(0(0(1(1(2(0(1(2(2(x1)))))))))))))))))) -> 2(3(0(2(3(1(1(0(2(0(2(1(1(0(0(2(0(2(x1))))))))))))))))))
   3(1(2(0(1(2(0(3(1(2(1(0(0(2(0(3(0(2(x1)))))))))))))))))) -> 3(1(0(2(2(1(3(0(0(2(0(3(2(1(1(0(2(0(x1))))))))))))))))))
   3(1(2(1(0(3(1(1(2(2(3(0(2(2(3(0(2(0(x1)))))))))))))))))) -> 3(1(1(1(2(2(2(0(3(2(0(3(2(3(2(0(0(1(x1))))))))))))))))))
   3(1(3(0(3(0(3(2(2(3(0(2(3(1(2(1(0(2(x1)))))))))))))))))) -> 3(0(2(2(3(2(0(1(3(1(0(2(1(3(3(2(0(3(x1))))))))))))))))))
   3(1(3(1(1(3(0(2(0(0(3(0(2(3(1(2(2(2(x1)))))))))))))))))) -> 3(1(3(1(0(3(3(2(1(2(1(2(0(2(3(2(0(0(x1))))))))))))))))))
   3(1(3(1(1(3(3(3(2(1(2(3(0(2(1(2(3(0(x1)))))))))))))))))) -> 3(3(3(2(0(1(3(2(0(1(3(3(1(2(1(1(2(3(x1))))))))))))))))))
   3(2(1(1(1(3(1(1(2(2(1(2(1(1(2(3(0(1(x1)))))))))))))))))) -> 3(2(1(1(1(1(1(0(3(2(2(2(1(2(3(1(1(1(x1))))))))))))))))))
   3(2(2(3(0(0(3(0(0(2(3(0(1(1(1(1(3(0(x1)))))))))))))))))) -> 3(2(0(3(2(3(0(1(0(1(1(0(3(1(3(0(2(0(x1))))))))))))))))))
   3(3(0(2(0(2(0(3(3(3(1(0(2(2(2(3(3(0(x1)))))))))))))))))) -> 3(2(2(1(0(3(2(0(0(2(3(3(2(3(3(0(0(3(x1))))))))))))))))))
   3(3(0(2(1(2(2(0(0(1(3(2(0(0(1(2(3(0(x1)))))))))))))))))) -> 0(0(1(1(0(2(2(3(3(2(1(0(0(2(3(3(2(0(x1))))))))))))))))))
   3(3(0(3(0(0(2(3(0(2(3(3(1(2(2(2(2(0(x1)))))))))))))))))) -> 3(3(0(0(3(2(3(2(0(0(0(2(3(2(1(2(3(2(x1))))))))))))))))))
   3(3(1(1(3(1(0(1(3(1(2(3(3(3(1(1(3(0(x1)))))))))))))))))) -> 3(3(1(0(3(3(1(3(3(3(3(1(1(1(1(2(0(1(x1))))))))))))))))))
   3(3(3(3(3(0(3(1(1(3(2(1(1(3(2(2(0(2(x1)))))))))))))))))) -> 3(3(1(0(1(2(3(2(0(1(1(3(3(3(3(2(3(2(x1))))))))))))))))))
   encArg(cons_0(x_1)) -> 0(encArg(x_1))
   encArg(cons_1(x_1)) -> 1(encArg(x_1))
   encArg(cons_2(x_1)) -> 2(encArg(x_1))
   encArg(cons_3(x_1)) -> 3(encArg(x_1))
   encode_0(x_1) -> 0(encArg(x_1))
   encode_3(x_1) -> 3(encArg(x_1))
   encode_1(x_1) -> 1(encArg(x_1))
   encode_2(x_1) -> 2(encArg(x_1))

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

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

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


The TRS R consists of the following rules:

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

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

   encArg(cons_0(x_1)) -> 0(encArg(x_1))
   encArg(cons_1(x_1)) -> 1(encArg(x_1))
   encArg(cons_2(x_1)) -> 2(encArg(x_1))
   encArg(cons_3(x_1)) -> 3(encArg(x_1))
   encode_0(x_1) -> 0(encArg(x_1))
   encode_3(x_1) -> 3(encArg(x_1))
   encode_1(x_1) -> 1(encArg(x_1))
   encode_2(x_1) -> 2(encArg(x_1))
   0(x0) -> c_0(x0)
   1(x0) -> c_1(x0)
   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_0(c_0(c_1(c_0(c_0(c_0(c_2(c_1(c_1(c_2(c_0(c_1(c_0(c_1(c_2(c_0(c_0(x1)))))))))))))))))) -> 0(1(0(1(1(0(0(2(1(1(0(0(2(0(2(0(0(0(x1))))))))))))))))))
   2(c_3(c_1(c_1(c_2(c_0(c_2(c_0(c_3(c_2(c_2(c_3(c_1(c_2(c_2(c_3(c_0(c_0(x1)))))))))))))))))) -> 2(2(2(2(1(3(0(2(0(3(2(1(0(1(0(3(2(3(x1))))))))))))))))))
   3(c_2(c_1(c_1(c_1(c_3(c_1(c_1(c_2(c_2(c_1(c_2(c_1(c_1(c_2(c_3(c_0(c_1(x1)))))))))))))))))) -> 3(2(1(1(1(1(1(0(3(2(2(2(1(2(3(1(1(1(x1))))))))))))))))))
   0(c_0(c_1(c_3(c_2(c_1(c_0(c_0(c_3(c_2(c_3(c_1(c_3(c_0(c_0(c_2(c_0(c_0(x1)))))))))))))))))) -> 0(0(2(3(2(0(1(0(2(1(0(1(0(3(0(3(0(3(x1))))))))))))))))))
   2(c_2(c_0(c_2(c_3(c_3(c_2(c_2(c_0(c_3(c_1(c_0(c_0(c_2(c_2(c_3(c_0(c_0(x1)))))))))))))))))) -> 2(2(0(0(3(3(2(3(2(3(2(0(2(0(0(0(1(2(x1))))))))))))))))))
   0(c_3(c_1(c_2(c_3(c_1(c_0(c_3(c_3(c_3(c_1(c_3(c_0(c_3(c_2(c_2(c_1(c_2(x1)))))))))))))))))) -> 1(0(3(1(0(3(3(3(3(2(3(2(3(2(0(2(1(1(x1))))))))))))))))))
   0(c_0(c_3(c_0(c_3(c_1(c_2(c_0(c_3(c_0(c_3(c_1(c_0(c_0(c_1(c_0(c_1(c_3(x1)))))))))))))))))) -> 0(3(0(0(3(3(0(1(0(3(0(1(0(0(2(1(1(3(x1))))))))))))))))))
   2(c_2(c_3(c_3(c_1(c_2(c_3(c_2(c_1(c_2(c_1(c_3(c_2(c_2(c_1(c_1(c_2(c_1(x1)))))))))))))))))) -> 2(1(1(1(2(2(3(2(3(3(3(2(1(2(1(2(2(1(x1))))))))))))))))))
   0(c_2(c_3(c_3(c_1(c_0(c_3(c_0(c_0(c_0(c_2(c_0(c_1(c_3(c_1(c_3(c_3(c_0(x1)))))))))))))))))) -> 0(3(0(3(3(2(3(2(3(0(0(0(0(1(1(1(3(0(x1))))))))))))))))))
   1(c_3(c_0(c_3(c_3(c_0(c_2(c_3(c_1(c_0(c_0(c_0(c_3(c_2(c_1(c_2(c_3(c_3(x1)))))))))))))))))) -> 1(3(0(2(0(0(3(1(0(2(1(0(2(3(3(3(3(3(x1))))))))))))))))))
   1(c_2(c_1(c_2(c_2(c_0(c_1(c_3(c_0(c_2(c_3(c_2(c_2(c_3(c_2(c_3(c_3(c_0(x1)))))))))))))))))) -> 1(2(0(3(0(2(2(1(3(3(2(2(2(3(3(2(1(0(x1))))))))))))))))))
   3(c_1(c_2(c_1(c_0(c_3(c_1(c_1(c_2(c_2(c_3(c_0(c_2(c_2(c_3(c_0(c_2(c_0(x1)))))))))))))))))) -> 3(1(1(1(2(2(2(0(3(2(0(3(2(3(2(0(0(1(x1))))))))))))))))))
   1(c_2(c_0(c_0(c_1(c_1(c_0(c_1(c_2(c_0(c_1(c_1(c_2(c_0(c_0(c_3(c_3(c_1(x1)))))))))))))))))) -> 1(1(1(0(1(0(1(0(1(0(0(2(0(1(3(3(2(2(x1))))))))))))))))))
   2(c_3(c_0(c_0(c_3(c_0(c_0(c_3(c_0(c_2(c_2(c_2(c_2(c_3(c_2(c_0(c_3(c_0(x1)))))))))))))))))) -> 2(2(3(0(2(0(0(2(0(3(3(2(3(3(2(0(0(0(x1))))))))))))))))))
   3(c_3(c_1(c_1(c_3(c_1(c_0(c_1(c_3(c_1(c_2(c_3(c_3(c_3(c_1(c_1(c_3(c_0(x1)))))))))))))))))) -> 3(3(1(0(3(3(1(3(3(3(3(1(1(1(1(2(0(1(x1))))))))))))))))))
   0(c_0(c_1(c_3(c_1(c_0(c_3(c_1(c_1(c_3(c_1(c_2(c_3(c_1(c_2(c_2(c_1(c_1(x1)))))))))))))))))) -> 0(3(0(2(1(0(3(2(1(1(2(1(3(1(3(1(1(1(x1))))))))))))))))))
   2(c_0(c_1(c_1(c_2(c_1(c_1(c_2(c_2(c_1(c_1(c_2(c_1(c_2(c_2(c_0(c_0(c_2(x1)))))))))))))))))) -> 2(0(2(1(2(1(0(2(2(2(1(2(1(0(2(1(1(1(x1))))))))))))))))))
   1(c_0(c_0(c_0(c_3(c_0(c_0(c_1(c_3(c_1(c_2(c_1(c_2(c_2(c_1(c_2(c_3(c_1(x1)))))))))))))))))) -> 1(3(0(0(0(3(2(1(2(1(0(0(1(3(2(2(1(1(x1))))))))))))))))))
   0(c_0(c_3(c_2(c_1(c_3(c_1(c_3(c_3(c_0(c_1(c_2(c_0(c_0(c_0(c_2(c_0(c_2(x1)))))))))))))))))) -> 0(3(0(0(2(1(3(1(2(3(2(1(0(0(0(3(2(0(x1))))))))))))))))))
   2(c_2(c_1(c_1(c_3(c_0(c_0(c_3(c_2(c_3(c_1(c_2(c_1(c_0(c_0(c_2(c_1(c_2(x1)))))))))))))))))) -> 2(1(0(0(2(1(0(3(3(2(2(1(1(1(0(3(2(2(x1))))))))))))))))))
   1(c_0(c_2(c_3(c_1(c_3(c_2(c_2(c_3(c_1(c_2(c_0(c_1(c_0(c_3(c_0(c_0(c_0(x1)))))))))))))))))) -> 1(0(3(3(2(1(3(2(3(0(1(2(0(0(2(1(0(0(x1))))))))))))))))))
   3(c_1(c_3(c_0(c_3(c_0(c_3(c_2(c_2(c_3(c_0(c_2(c_3(c_1(c_2(c_1(c_0(c_2(x1)))))))))))))))))) -> 3(0(2(2(3(2(0(1(3(1(0(2(1(3(3(2(0(3(x1))))))))))))))))))
   1(c_3(c_1(c_2(c_2(c_2(c_0(c_3(c_3(c_2(c_1(c_0(c_3(c_3(c_0(c_0(c_3(c_0(x1)))))))))))))))))) -> 1(3(2(3(0(2(3(3(3(0(0(2(0(1(3(2(1(0(x1))))))))))))))))))
   2(c_2(c_3(c_3(c_3(c_3(c_3(c_1(c_2(c_0(c_1(c_1(c_1(c_2(c_3(c_1(c_2(c_1(x1)))))))))))))))))) -> 1(3(3(3(2(0(1(2(1(2(1(3(2(3(3(2(1(1(x1))))))))))))))))))
   2(c_3(c_2(c_3(c_0(c_0(c_0(c_3(c_3(c_2(c_2(c_2(c_2(c_3(c_2(c_2(c_0(c_2(x1)))))))))))))))))) -> 2(3(3(2(3(2(0(2(2(0(0(3(2(0(2(2(3(2(x1))))))))))))))))))
   2(c_2(c_0(c_1(c_2(c_3(c_3(c_0(c_3(c_2(c_2(c_2(c_0(c_3(c_3(c_1(c_1(c_3(x1)))))))))))))))))) -> 2(1(3(2(0(3(3(0(2(1(1(3(2(0(3(2(2(3(x1))))))))))))))))))
   0(c_3(c_3(c_3(c_1(c_2(c_0(c_0(c_3(c_2(c_0(c_1(c_2(c_1(c_3(c_0(c_2(c_0(x1)))))))))))))))))) -> 0(2(1(0(1(0(1(0(0(3(3(2(3(0(2(3(2(3(x1))))))))))))))))))
   1(c_2(c_1(c_3(c_1(c_1(c_3(c_0(c_3(c_1(c_1(c_1(c_1(c_1(c_3(c_0(c_1(c_3(x1)))))))))))))))))) -> 1(0(1(1(0(3(1(3(3(1(1(3(2(1(1(1(1(3(x1))))))))))))))))))
   0(c_0(c_1(c_2(c_0(c_0(c_3(c_3(c_2(c_1(c_3(c_3(c_3(c_1(c_1(c_1(c_1(c_2(x1)))))))))))))))))) -> 0(0(3(3(1(0(2(3(2(1(1(3(1(1(1(3(2(0(x1))))))))))))))))))
   1(c_3(c_1(c_1(c_1(c_2(c_0(c_2(c_1(c_2(c_0(c_3(c_3(c_1(c_2(c_2(c_3(c_1(x1)))))))))))))))))) -> 1(2(1(2(1(2(2(1(1(1(1(0(3(3(3(0(3(2(x1))))))))))))))))))
   1(c_3(c_0(c_0(c_1(c_2(c_3(c_3(c_2(c_3(c_1(c_1(c_3(c_1(c_0(c_3(c_1(c_2(x1)))))))))))))))))) -> 1(1(2(3(3(3(3(1(1(0(2(0(1(3(3(2(0(1(x1))))))))))))))))))
   0(c_0(c_1(c_1(c_1(c_3(c_2(c_2(c_2(c_1(c_3(c_2(c_3(c_0(c_0(c_0(c_0(c_0(x1)))))))))))))))))) -> 1(0(0(3(2(0(1(3(2(0(0(2(3(1(0(2(1(0(x1))))))))))))))))))
   1(c_1(c_1(c_2(c_1(c_2(c_3(c_0(c_0(c_2(c_3(c_0(c_3(c_1(c_3(c_2(c_0(c_2(x1)))))))))))))))))) -> 1(1(1(3(0(2(0(2(0(2(3(2(0(3(3(1(1(2(x1))))))))))))))))))
   1(c_0(c_3(c_3(c_3(c_0(c_2(c_3(c_0(c_2(c_1(c_1(c_0(c_3(c_3(c_1(c_3(c_1(x1)))))))))))))))))) -> 1(3(3(1(1(1(0(3(0(0(3(3(3(2(3(2(0(1(x1))))))))))))))))))
   2(c_0(c_0(c_2(c_2(c_0(c_3(c_0(c_1(c_0(c_2(c_3(c_3(c_1(c_2(c_1(c_2(c_2(x1)))))))))))))))))) -> 2(0(1(2(2(3(0(3(3(2(0(1(2(2(1(0(2(0(x1))))))))))))))))))
   3(c_0(c_2(c_0(c_3(c_3(c_0(c_0(c_2(c_2(c_0(c_1(c_0(c_3(c_3(c_1(c_3(c_1(x1)))))))))))))))))) -> 3(0(2(1(0(1(3(3(2(0(0(3(0(3(2(3(1(0(x1))))))))))))))))))
   3(c_3(c_0(c_2(c_1(c_2(c_2(c_0(c_0(c_1(c_3(c_2(c_0(c_0(c_1(c_2(c_3(c_0(x1)))))))))))))))))) -> 0(0(1(1(0(2(2(3(3(2(1(0(0(2(3(3(2(0(x1))))))))))))))))))
   1(c_2(c_2(c_3(c_2(c_1(c_3(c_0(c_3(c_1(c_3(c_3(c_1(c_3(c_0(c_3(c_3(c_3(x1)))))))))))))))))) -> 1(3(3(1(1(2(0(3(3(2(3(1(3(2(0(3(3(3(x1))))))))))))))))))
   0(c_3(c_0(c_3(c_2(c_2(c_0(c_3(c_3(c_1(c_0(c_0(c_3(c_0(c_3(c_0(c_1(c_0(x1)))))))))))))))))) -> 0(3(0(0(3(3(3(2(1(3(2(0(0(1(3(0(0(0(x1))))))))))))))))))
   3(c_3(c_0(c_2(c_0(c_2(c_0(c_3(c_3(c_3(c_1(c_0(c_2(c_2(c_2(c_3(c_3(c_0(x1)))))))))))))))))) -> 3(2(2(1(0(3(2(0(0(2(3(3(2(3(3(0(0(3(x1))))))))))))))))))
   1(c_2(c_1(c_2(c_3(c_0(c_3(c_0(c_2(c_2(c_0(c_2(c_3(c_2(c_0(c_1(c_1(c_2(x1)))))))))))))))))) -> 1(0(1(3(2(2(0(2(1(2(1(3(2(0(2(3(0(2(x1))))))))))))))))))
   1(c_2(c_2(c_3(c_3(c_0(c_1(c_2(c_1(c_0(c_3(c_1(c_2(c_3(c_1(c_1(c_2(c_2(x1)))))))))))))))))) -> 1(3(3(2(3(3(1(2(2(0(1(2(2(2(1(1(1(0(x1))))))))))))))))))
   1(c_3(c_3(c_0(c_3(c_1(c_0(c_1(c_3(c_1(c_2(c_2(c_0(c_3(c_1(c_1(c_0(c_0(x1)))))))))))))))))) -> 1(3(2(0(3(0(0(0(3(2(1(3(1(1(1(1(3(0(x1))))))))))))))))))
   0(c_0(c_0(c_3(c_0(c_3(c_0(c_1(c_2(c_1(c_0(c_0(c_0(c_1(c_2(c_3(c_3(c_3(x1)))))))))))))))))) -> 0(0(0(2(3(0(0(0(0(1(1(3(1(0(2(3(3(3(x1))))))))))))))))))
   1(c_1(c_2(c_1(c_3(c_0(c_2(c_1(c_0(c_0(c_3(c_0(c_1(c_2(c_2(c_0(c_3(c_3(x1)))))))))))))))))) -> 1(0(3(2(1(0(3(3(1(0(2(2(0(1(0(2(1(3(x1))))))))))))))))))
   2(c_3(c_1(c_1(c_3(c_1(c_0(c_2(c_3(c_0(c_0(c_0(c_2(c_3(c_3(c_2(c_3(c_1(x1)))))))))))))))))) -> 2(3(3(2(0(2(1(0(3(3(0(3(1(0(1(2(3(1(x1))))))))))))))))))
   3(c_0(c_1(c_0(c_3(c_1(c_2(c_2(c_0(c_1(c_1(c_1(c_3(c_3(c_0(c_2(c_3(c_0(x1)))))))))))))))))) -> 0(3(3(2(1(0(0(2(3(3(1(1(0(1(1(3(2(0(x1))))))))))))))))))
   0(c_0(c_3(c_0(c_3(c_3(c_3(c_1(c_1(c_1(c_3(c_1(c_1(c_2(c_1(c_2(c_3(c_0(x1)))))))))))))))))) -> 0(3(3(1(2(1(3(0(3(3(2(0(1(1(0(1(1(3(x1))))))))))))))))))
   2(c_2(c_3(c_1(c_1(c_2(c_2(c_0(c_1(c_0(c_1(c_0(c_1(c_0(c_1(c_3(c_1(c_0(x1)))))))))))))))))) -> 2(0(1(0(1(1(0(3(2(1(1(0(2(2(3(1(1(0(x1))))))))))))))))))
   0(c_0(c_1(c_0(c_1(c_1(c_1(c_0(c_2(c_2(c_3(c_3(c_1(c_3(c_0(c_2(c_1(c_0(x1)))))))))))))))))) -> 0(0(1(1(1(3(3(3(2(1(1(0(0(1(2(0(2(0(x1))))))))))))))))))
   1(c_2(c_1(c_0(c_1(c_3(c_0(c_3(c_3(c_1(c_3(c_1(c_2(c_2(c_3(c_0(c_2(c_0(x1)))))))))))))))))) -> 1(1(3(3(2(0(0(3(2(1(2(3(3(2(0(1(1(0(x1))))))))))))))))))
   2(c_2(c_3(c_1(c_2(c_2(c_2(c_1(c_2(c_0(c_1(c_3(c_2(c_2(c_3(c_3(c_0(c_0(x1)))))))))))))))))) -> 2(1(2(2(3(3(2(2(0(1(0(2(2(3(1(0(2(3(x1))))))))))))))))))
   3(c_1(c_2(c_0(c_1(c_2(c_0(c_3(c_1(c_2(c_1(c_0(c_0(c_2(c_0(c_3(c_0(c_2(x1)))))))))))))))))) -> 3(1(0(2(2(1(3(0(0(2(0(3(2(1(1(0(2(0(x1))))))))))))))))))
   1(c_0(c_3(c_0(c_2(c_3(c_0(c_3(c_1(c_3(c_1(c_1(c_2(c_0(c_3(c_0(c_3(c_0(x1)))))))))))))))))) -> 1(0(1(0(2(3(0(3(0(3(0(3(3(1(0(2(1(3(x1))))))))))))))))))
   0(c_0(c_0(c_0(c_3(c_0(c_3(c_1(c_3(c_1(c_2(c_2(c_1(c_3(c_1(c_0(c_0(c_2(x1)))))))))))))))))) -> 0(0(3(3(2(1(3(0(0(1(1(2(0(0(1(0(2(3(x1))))))))))))))))))
   3(c_1(c_3(c_1(c_1(c_3(c_0(c_2(c_0(c_0(c_3(c_0(c_2(c_3(c_1(c_2(c_2(c_2(x1)))))))))))))))))) -> 3(1(3(1(0(3(3(2(1(2(1(2(0(2(3(2(0(0(x1))))))))))))))))))
   3(c_0(c_1(c_2(c_2(c_3(c_0(c_1(c_2(c_1(c_3(c_1(c_3(c_3(c_3(c_1(c_1(c_3(x1)))))))))))))))))) -> 0(2(1(3(3(3(2(1(1(0(1(3(3(2(1(1(3(3(x1))))))))))))))))))
   2(c_0(c_0(c_3(c_0(c_3(c_1(c_1(c_2(c_2(c_2(c_2(c_3(c_2(c_0(c_0(c_3(c_0(x1)))))))))))))))))) -> 2(0(3(0(1(3(2(2(3(0(1(3(2(2(0(2(0(0(x1))))))))))))))))))
   0(c_0(c_1(c_2(c_0(c_1(c_0(c_1(c_1(c_0(c_1(c_2(c_2(c_3(c_3(c_1(c_2(c_2(x1)))))))))))))))))) -> 0(2(0(1(2(3(1(1(0(0(2(3(2(1(1(1(0(2(x1))))))))))))))))))
   0(c_2(c_2(c_3(c_2(c_3(c_2(c_2(c_2(c_2(c_2(c_3(c_3(c_0(c_0(c_0(c_0(c_3(x1)))))))))))))))))) -> 0(2(0(3(2(2(0(3(3(3(2(2(2(0(2(0(2(3(x1))))))))))))))))))
   2(c_0(c_0(c_0(c_0(c_3(c_1(c_2(c_2(c_0(c_3(c_0(c_2(c_0(c_3(c_1(c_3(c_2(x1)))))))))))))))))) -> 2(0(1(0(2(3(2(0(3(3(2(3(0(2(1(0(0(0(x1))))))))))))))))))
   3(c_0(c_2(c_0(c_3(c_1(c_1(c_3(c_2(c_1(c_3(c_0(c_2(c_0(c_2(c_1(c_1(c_3(x1)))))))))))))))))) -> 1(3(3(2(0(0(0(1(3(3(2(0(1(1(2(1(2(3(x1))))))))))))))))))
   3(c_3(c_0(c_3(c_0(c_0(c_2(c_3(c_0(c_2(c_3(c_3(c_1(c_2(c_2(c_2(c_2(c_0(x1)))))))))))))))))) -> 3(3(0(0(3(2(3(2(0(0(0(2(3(2(1(2(3(2(x1))))))))))))))))))
   2(c_3(c_0(c_0(c_0(c_2(c_0(c_0(c_1(c_3(c_3(c_1(c_2(c_2(c_2(c_2(c_2(c_2(x1)))))))))))))))))) -> 2(1(2(2(3(0(0(3(0(3(2(0(0(2(2(1(2(2(x1))))))))))))))))))
   2(c_0(c_0(c_3(c_1(c_2(c_1(c_3(c_0(c_2(c_2(c_2(c_1(c_2(c_2(c_2(c_3(c_1(x1)))))))))))))))))) -> 2(1(0(3(2(2(1(2(3(2(2(0(3(2(2(0(1(1(x1))))))))))))))))))
   2(c_1(c_2(c_0(c_2(c_1(c_3(c_0(c_1(c_2(c_1(c_0(c_2(c_1(c_3(c_1(c_2(c_0(x1)))))))))))))))))) -> 2(1(2(3(1(0(1(0(0(2(1(1(3(2(0(2(1(2(x1))))))))))))))))))
   3(c_3(c_3(c_3(c_3(c_0(c_3(c_1(c_1(c_3(c_2(c_1(c_1(c_3(c_2(c_2(c_0(c_2(x1)))))))))))))))))) -> 3(3(1(0(1(2(3(2(0(1(1(3(3(3(3(2(3(2(x1))))))))))))))))))
   3(c_2(c_2(c_3(c_0(c_0(c_3(c_0(c_0(c_2(c_3(c_0(c_1(c_1(c_1(c_1(c_3(c_0(x1)))))))))))))))))) -> 3(2(0(3(2(3(0(1(0(1(1(0(3(1(3(0(2(0(x1))))))))))))))))))
   0(c_0(c_2(c_3(c_3(c_3(c_0(c_0(c_1(c_1(c_2(c_2(c_0(c_3(c_2(c_3(c_3(c_0(x1)))))))))))))))))) -> 0(3(0(2(3(0(1(3(3(2(0(0(3(3(2(1(2(0(x1))))))))))))))))))
   0(c_1(c_3(c_0(c_1(c_0(c_1(c_1(c_2(c_2(c_2(c_3(c_3(c_0(c_3(c_0(c_0(c_0(x1)))))))))))))))))) -> 0(2(1(0(0(3(2(0(0(3(3(3(1(1(0(1(2(0(x1))))))))))))))))))
   3(c_1(c_3(c_1(c_1(c_3(c_3(c_3(c_2(c_1(c_2(c_3(c_0(c_2(c_1(c_2(c_3(c_0(x1)))))))))))))))))) -> 3(3(3(2(0(1(3(2(0(1(3(3(1(2(1(1(2(3(x1))))))))))))))))))
   0(c_1(c_2(c_3(c_0(c_2(c_1(c_2(c_3(c_0(c_0(c_3(c_0(c_1(c_0(c_1(c_3(c_0(x1)))))))))))))))))) -> 0(2(0(0(0(2(3(3(1(1(3(2(0(3(0(0(1(1(x1))))))))))))))))))
   0(c_0(c_3(c_0(c_2(c_0(c_1(c_1(c_3(c_1(c_0(c_2(c_0(c_0(c_0(c_2(c_1(c_1(x1)))))))))))))))))) -> 0(3(1(0(3(2(0(1(0(1(0(0(2(0(1(2(0(1(x1))))))))))))))))))
   1(c_2(c_3(c_1(c_3(c_0(c_1(c_1(c_3(c_1(c_3(c_1(c_2(c_0(c_3(c_2(c_3(c_0(x1)))))))))))))))))) -> 1(1(3(2(1(3(3(0(2(0(3(3(1(1(3(2(0(1(x1))))))))))))))))))
   2(c_3(c_0(c_3(c_1(c_1(c_2(c_3(c_1(c_3(c_2(c_0(c_1(c_2(c_2(c_1(c_3(c_0(x1)))))))))))))))))) -> 2(1(1(0(1(2(1(3(3(3(2(2(0(2(1(3(3(0(x1))))))))))))))))))
   1(c_1(c_2(c_3(c_3(c_1(c_0(c_0(c_3(c_1(c_3(c_3(c_3(c_0(c_0(c_1(c_3(c_1(x1)))))))))))))))))) -> 1(3(0(2(3(3(3(1(1(0(3(3(3(0(1(1(0(1(x1))))))))))))))))))
   3(c_0(c_2(c_2(c_0(c_0(c_1(c_2(c_3(c_0(c_0(c_1(c_1(c_2(c_0(c_1(c_2(c_2(x1)))))))))))))))))) -> 2(3(0(2(3(1(1(0(2(0(2(1(1(0(0(2(0(2(x1))))))))))))))))))
   1(c_3(c_1(c_2(c_0(c_1(c_2(c_0(c_0(c_1(c_0(c_0(c_2(c_3(c_0(c_1(c_1(c_2(x1)))))))))))))))))) -> 1(3(2(2(0(2(1(0(1(0(0(1(2(0(1(1(3(0(x1))))))))))))))))))
   0(c_0(c_3(c_3(c_1(c_2(c_3(c_0(c_2(c_3(c_3(c_3(c_0(c_0(c_3(c_2(c_2(c_3(x1)))))))))))))))))) -> 3(0(3(3(2(0(2(3(2(0(3(1(3(3(2(0(0(3(x1))))))))))))))))))
   0(c_0(c_2(c_2(c_1(c_1(c_3(c_0(c_2(c_2(c_2(c_2(c_0(c_3(c_3(c_0(c_1(c_0(x1)))))))))))))))))) -> 0(2(2(1(1(0(2(3(0(0(2(0(2(1(3(2(3(0(x1))))))))))))))))))

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

   encArg(cons_0(x_1)) -> 0(encArg(x_1))
   encArg(cons_1(x_1)) -> 1(encArg(x_1))
   encArg(cons_2(x_1)) -> 2(encArg(x_1))
   encArg(cons_3(x_1)) -> 3(encArg(x_1))
   encode_0(x_1) -> 0(encArg(x_1))
   encode_3(x_1) -> 3(encArg(x_1))
   encode_1(x_1) -> 1(encArg(x_1))
   encode_2(x_1) -> 2(encArg(x_1))
   0(x0) -> c_0(x0)
   1(x0) -> c_1(x0)
   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_0(c_0(c_1(c_0(c_0(c_0(c_2(c_1(c_1(c_2(c_0(c_1(c_0(c_1(c_2(c_0(c_0(x1)))))))))))))))))) -> 0(1(0(1(1(0(0(2(1(1(0(0(2(0(2(0(0(0(x1)))))))))))))))))) [1]
   2(c_3(c_1(c_1(c_2(c_0(c_2(c_0(c_3(c_2(c_2(c_3(c_1(c_2(c_2(c_3(c_0(c_0(x1)))))))))))))))))) -> 2(2(2(2(1(3(0(2(0(3(2(1(0(1(0(3(2(3(x1)))))))))))))))))) [1]
   3(c_2(c_1(c_1(c_1(c_3(c_1(c_1(c_2(c_2(c_1(c_2(c_1(c_1(c_2(c_3(c_0(c_1(x1)))))))))))))))))) -> 3(2(1(1(1(1(1(0(3(2(2(2(1(2(3(1(1(1(x1)))))))))))))))))) [1]
   0(c_0(c_1(c_3(c_2(c_1(c_0(c_0(c_3(c_2(c_3(c_1(c_3(c_0(c_0(c_2(c_0(c_0(x1)))))))))))))))))) -> 0(0(2(3(2(0(1(0(2(1(0(1(0(3(0(3(0(3(x1)))))))))))))))))) [1]
   2(c_2(c_0(c_2(c_3(c_3(c_2(c_2(c_0(c_3(c_1(c_0(c_0(c_2(c_2(c_3(c_0(c_0(x1)))))))))))))))))) -> 2(2(0(0(3(3(2(3(2(3(2(0(2(0(0(0(1(2(x1)))))))))))))))))) [1]
   0(c_3(c_1(c_2(c_3(c_1(c_0(c_3(c_3(c_3(c_1(c_3(c_0(c_3(c_2(c_2(c_1(c_2(x1)))))))))))))))))) -> 1(0(3(1(0(3(3(3(3(2(3(2(3(2(0(2(1(1(x1)))))))))))))))))) [1]
   0(c_0(c_3(c_0(c_3(c_1(c_2(c_0(c_3(c_0(c_3(c_1(c_0(c_0(c_1(c_0(c_1(c_3(x1)))))))))))))))))) -> 0(3(0(0(3(3(0(1(0(3(0(1(0(0(2(1(1(3(x1)))))))))))))))))) [1]
   2(c_2(c_3(c_3(c_1(c_2(c_3(c_2(c_1(c_2(c_1(c_3(c_2(c_2(c_1(c_1(c_2(c_1(x1)))))))))))))))))) -> 2(1(1(1(2(2(3(2(3(3(3(2(1(2(1(2(2(1(x1)))))))))))))))))) [1]
   0(c_2(c_3(c_3(c_1(c_0(c_3(c_0(c_0(c_0(c_2(c_0(c_1(c_3(c_1(c_3(c_3(c_0(x1)))))))))))))))))) -> 0(3(0(3(3(2(3(2(3(0(0(0(0(1(1(1(3(0(x1)))))))))))))))))) [1]
   1(c_3(c_0(c_3(c_3(c_0(c_2(c_3(c_1(c_0(c_0(c_0(c_3(c_2(c_1(c_2(c_3(c_3(x1)))))))))))))))))) -> 1(3(0(2(0(0(3(1(0(2(1(0(2(3(3(3(3(3(x1)))))))))))))))))) [1]
   1(c_2(c_1(c_2(c_2(c_0(c_1(c_3(c_0(c_2(c_3(c_2(c_2(c_3(c_2(c_3(c_3(c_0(x1)))))))))))))))))) -> 1(2(0(3(0(2(2(1(3(3(2(2(2(3(3(2(1(0(x1)))))))))))))))))) [1]
   3(c_1(c_2(c_1(c_0(c_3(c_1(c_1(c_2(c_2(c_3(c_0(c_2(c_2(c_3(c_0(c_2(c_0(x1)))))))))))))))))) -> 3(1(1(1(2(2(2(0(3(2(0(3(2(3(2(0(0(1(x1)))))))))))))))))) [1]
   1(c_2(c_0(c_0(c_1(c_1(c_0(c_1(c_2(c_0(c_1(c_1(c_2(c_0(c_0(c_3(c_3(c_1(x1)))))))))))))))))) -> 1(1(1(0(1(0(1(0(1(0(0(2(0(1(3(3(2(2(x1)))))))))))))))))) [1]
   2(c_3(c_0(c_0(c_3(c_0(c_0(c_3(c_0(c_2(c_2(c_2(c_2(c_3(c_2(c_0(c_3(c_0(x1)))))))))))))))))) -> 2(2(3(0(2(0(0(2(0(3(3(2(3(3(2(0(0(0(x1)))))))))))))))))) [1]
   3(c_3(c_1(c_1(c_3(c_1(c_0(c_1(c_3(c_1(c_2(c_3(c_3(c_3(c_1(c_1(c_3(c_0(x1)))))))))))))))))) -> 3(3(1(0(3(3(1(3(3(3(3(1(1(1(1(2(0(1(x1)))))))))))))))))) [1]
   0(c_0(c_1(c_3(c_1(c_0(c_3(c_1(c_1(c_3(c_1(c_2(c_3(c_1(c_2(c_2(c_1(c_1(x1)))))))))))))))))) -> 0(3(0(2(1(0(3(2(1(1(2(1(3(1(3(1(1(1(x1)))))))))))))))))) [1]
   2(c_0(c_1(c_1(c_2(c_1(c_1(c_2(c_2(c_1(c_1(c_2(c_1(c_2(c_2(c_0(c_0(c_2(x1)))))))))))))))))) -> 2(0(2(1(2(1(0(2(2(2(1(2(1(0(2(1(1(1(x1)))))))))))))))))) [1]
   1(c_0(c_0(c_0(c_3(c_0(c_0(c_1(c_3(c_1(c_2(c_1(c_2(c_2(c_1(c_2(c_3(c_1(x1)))))))))))))))))) -> 1(3(0(0(0(3(2(1(2(1(0(0(1(3(2(2(1(1(x1)))))))))))))))))) [1]
   0(c_0(c_3(c_2(c_1(c_3(c_1(c_3(c_3(c_0(c_1(c_2(c_0(c_0(c_0(c_2(c_0(c_2(x1)))))))))))))))))) -> 0(3(0(0(2(1(3(1(2(3(2(1(0(0(0(3(2(0(x1)))))))))))))))))) [1]
   2(c_2(c_1(c_1(c_3(c_0(c_0(c_3(c_2(c_3(c_1(c_2(c_1(c_0(c_0(c_2(c_1(c_2(x1)))))))))))))))))) -> 2(1(0(0(2(1(0(3(3(2(2(1(1(1(0(3(2(2(x1)))))))))))))))))) [1]
   1(c_0(c_2(c_3(c_1(c_3(c_2(c_2(c_3(c_1(c_2(c_0(c_1(c_0(c_3(c_0(c_0(c_0(x1)))))))))))))))))) -> 1(0(3(3(2(1(3(2(3(0(1(2(0(0(2(1(0(0(x1)))))))))))))))))) [1]
   3(c_1(c_3(c_0(c_3(c_0(c_3(c_2(c_2(c_3(c_0(c_2(c_3(c_1(c_2(c_1(c_0(c_2(x1)))))))))))))))))) -> 3(0(2(2(3(2(0(1(3(1(0(2(1(3(3(2(0(3(x1)))))))))))))))))) [1]
   1(c_3(c_1(c_2(c_2(c_2(c_0(c_3(c_3(c_2(c_1(c_0(c_3(c_3(c_0(c_0(c_3(c_0(x1)))))))))))))))))) -> 1(3(2(3(0(2(3(3(3(0(0(2(0(1(3(2(1(0(x1)))))))))))))))))) [1]
   2(c_2(c_3(c_3(c_3(c_3(c_3(c_1(c_2(c_0(c_1(c_1(c_1(c_2(c_3(c_1(c_2(c_1(x1)))))))))))))))))) -> 1(3(3(3(2(0(1(2(1(2(1(3(2(3(3(2(1(1(x1)))))))))))))))))) [1]
   2(c_3(c_2(c_3(c_0(c_0(c_0(c_3(c_3(c_2(c_2(c_2(c_2(c_3(c_2(c_2(c_0(c_2(x1)))))))))))))))))) -> 2(3(3(2(3(2(0(2(2(0(0(3(2(0(2(2(3(2(x1)))))))))))))))))) [1]
   2(c_2(c_0(c_1(c_2(c_3(c_3(c_0(c_3(c_2(c_2(c_2(c_0(c_3(c_3(c_1(c_1(c_3(x1)))))))))))))))))) -> 2(1(3(2(0(3(3(0(2(1(1(3(2(0(3(2(2(3(x1)))))))))))))))))) [1]
   0(c_3(c_3(c_3(c_1(c_2(c_0(c_0(c_3(c_2(c_0(c_1(c_2(c_1(c_3(c_0(c_2(c_0(x1)))))))))))))))))) -> 0(2(1(0(1(0(1(0(0(3(3(2(3(0(2(3(2(3(x1)))))))))))))))))) [1]
   1(c_2(c_1(c_3(c_1(c_1(c_3(c_0(c_3(c_1(c_1(c_1(c_1(c_1(c_3(c_0(c_1(c_3(x1)))))))))))))))))) -> 1(0(1(1(0(3(1(3(3(1(1(3(2(1(1(1(1(3(x1)))))))))))))))))) [1]
   0(c_0(c_1(c_2(c_0(c_0(c_3(c_3(c_2(c_1(c_3(c_3(c_3(c_1(c_1(c_1(c_1(c_2(x1)))))))))))))))))) -> 0(0(3(3(1(0(2(3(2(1(1(3(1(1(1(3(2(0(x1)))))))))))))))))) [1]
   1(c_3(c_1(c_1(c_1(c_2(c_0(c_2(c_1(c_2(c_0(c_3(c_3(c_1(c_2(c_2(c_3(c_1(x1)))))))))))))))))) -> 1(2(1(2(1(2(2(1(1(1(1(0(3(3(3(0(3(2(x1)))))))))))))))))) [1]
   1(c_3(c_0(c_0(c_1(c_2(c_3(c_3(c_2(c_3(c_1(c_1(c_3(c_1(c_0(c_3(c_1(c_2(x1)))))))))))))))))) -> 1(1(2(3(3(3(3(1(1(0(2(0(1(3(3(2(0(1(x1)))))))))))))))))) [1]
   0(c_0(c_1(c_1(c_1(c_3(c_2(c_2(c_2(c_1(c_3(c_2(c_3(c_0(c_0(c_0(c_0(c_0(x1)))))))))))))))))) -> 1(0(0(3(2(0(1(3(2(0(0(2(3(1(0(2(1(0(x1)))))))))))))))))) [1]
   1(c_1(c_1(c_2(c_1(c_2(c_3(c_0(c_0(c_2(c_3(c_0(c_3(c_1(c_3(c_2(c_0(c_2(x1)))))))))))))))))) -> 1(1(1(3(0(2(0(2(0(2(3(2(0(3(3(1(1(2(x1)))))))))))))))))) [1]
   1(c_0(c_3(c_3(c_3(c_0(c_2(c_3(c_0(c_2(c_1(c_1(c_0(c_3(c_3(c_1(c_3(c_1(x1)))))))))))))))))) -> 1(3(3(1(1(1(0(3(0(0(3(3(3(2(3(2(0(1(x1)))))))))))))))))) [1]
   2(c_0(c_0(c_2(c_2(c_0(c_3(c_0(c_1(c_0(c_2(c_3(c_3(c_1(c_2(c_1(c_2(c_2(x1)))))))))))))))))) -> 2(0(1(2(2(3(0(3(3(2(0(1(2(2(1(0(2(0(x1)))))))))))))))))) [1]
   3(c_0(c_2(c_0(c_3(c_3(c_0(c_0(c_2(c_2(c_0(c_1(c_0(c_3(c_3(c_1(c_3(c_1(x1)))))))))))))))))) -> 3(0(2(1(0(1(3(3(2(0(0(3(0(3(2(3(1(0(x1)))))))))))))))))) [1]
   3(c_3(c_0(c_2(c_1(c_2(c_2(c_0(c_0(c_1(c_3(c_2(c_0(c_0(c_1(c_2(c_3(c_0(x1)))))))))))))))))) -> 0(0(1(1(0(2(2(3(3(2(1(0(0(2(3(3(2(0(x1)))))))))))))))))) [1]
   1(c_2(c_2(c_3(c_2(c_1(c_3(c_0(c_3(c_1(c_3(c_3(c_1(c_3(c_0(c_3(c_3(c_3(x1)))))))))))))))))) -> 1(3(3(1(1(2(0(3(3(2(3(1(3(2(0(3(3(3(x1)))))))))))))))))) [1]
   0(c_3(c_0(c_3(c_2(c_2(c_0(c_3(c_3(c_1(c_0(c_0(c_3(c_0(c_3(c_0(c_1(c_0(x1)))))))))))))))))) -> 0(3(0(0(3(3(3(2(1(3(2(0(0(1(3(0(0(0(x1)))))))))))))))))) [1]
   3(c_3(c_0(c_2(c_0(c_2(c_0(c_3(c_3(c_3(c_1(c_0(c_2(c_2(c_2(c_3(c_3(c_0(x1)))))))))))))))))) -> 3(2(2(1(0(3(2(0(0(2(3(3(2(3(3(0(0(3(x1)))))))))))))))))) [1]
   1(c_2(c_1(c_2(c_3(c_0(c_3(c_0(c_2(c_2(c_0(c_2(c_3(c_2(c_0(c_1(c_1(c_2(x1)))))))))))))))))) -> 1(0(1(3(2(2(0(2(1(2(1(3(2(0(2(3(0(2(x1)))))))))))))))))) [1]
   1(c_2(c_2(c_3(c_3(c_0(c_1(c_2(c_1(c_0(c_3(c_1(c_2(c_3(c_1(c_1(c_2(c_2(x1)))))))))))))))))) -> 1(3(3(2(3(3(1(2(2(0(1(2(2(2(1(1(1(0(x1)))))))))))))))))) [1]
   1(c_3(c_3(c_0(c_3(c_1(c_0(c_1(c_3(c_1(c_2(c_2(c_0(c_3(c_1(c_1(c_0(c_0(x1)))))))))))))))))) -> 1(3(2(0(3(0(0(0(3(2(1(3(1(1(1(1(3(0(x1)))))))))))))))))) [1]
   0(c_0(c_0(c_3(c_0(c_3(c_0(c_1(c_2(c_1(c_0(c_0(c_0(c_1(c_2(c_3(c_3(c_3(x1)))))))))))))))))) -> 0(0(0(2(3(0(0(0(0(1(1(3(1(0(2(3(3(3(x1)))))))))))))))))) [1]
   1(c_1(c_2(c_1(c_3(c_0(c_2(c_1(c_0(c_0(c_3(c_0(c_1(c_2(c_2(c_0(c_3(c_3(x1)))))))))))))))))) -> 1(0(3(2(1(0(3(3(1(0(2(2(0(1(0(2(1(3(x1)))))))))))))))))) [1]
   2(c_3(c_1(c_1(c_3(c_1(c_0(c_2(c_3(c_0(c_0(c_0(c_2(c_3(c_3(c_2(c_3(c_1(x1)))))))))))))))))) -> 2(3(3(2(0(2(1(0(3(3(0(3(1(0(1(2(3(1(x1)))))))))))))))))) [1]
   3(c_0(c_1(c_0(c_3(c_1(c_2(c_2(c_0(c_1(c_1(c_1(c_3(c_3(c_0(c_2(c_3(c_0(x1)))))))))))))))))) -> 0(3(3(2(1(0(0(2(3(3(1(1(0(1(1(3(2(0(x1)))))))))))))))))) [1]
   0(c_0(c_3(c_0(c_3(c_3(c_3(c_1(c_1(c_1(c_3(c_1(c_1(c_2(c_1(c_2(c_3(c_0(x1)))))))))))))))))) -> 0(3(3(1(2(1(3(0(3(3(2(0(1(1(0(1(1(3(x1)))))))))))))))))) [1]
   2(c_2(c_3(c_1(c_1(c_2(c_2(c_0(c_1(c_0(c_1(c_0(c_1(c_0(c_1(c_3(c_1(c_0(x1)))))))))))))))))) -> 2(0(1(0(1(1(0(3(2(1(1(0(2(2(3(1(1(0(x1)))))))))))))))))) [1]
   0(c_0(c_1(c_0(c_1(c_1(c_1(c_0(c_2(c_2(c_3(c_3(c_1(c_3(c_0(c_2(c_1(c_0(x1)))))))))))))))))) -> 0(0(1(1(1(3(3(3(2(1(1(0(0(1(2(0(2(0(x1)))))))))))))))))) [1]
   1(c_2(c_1(c_0(c_1(c_3(c_0(c_3(c_3(c_1(c_3(c_1(c_2(c_2(c_3(c_0(c_2(c_0(x1)))))))))))))))))) -> 1(1(3(3(2(0(0(3(2(1(2(3(3(2(0(1(1(0(x1)))))))))))))))))) [1]
   2(c_2(c_3(c_1(c_2(c_2(c_2(c_1(c_2(c_0(c_1(c_3(c_2(c_2(c_3(c_3(c_0(c_0(x1)))))))))))))))))) -> 2(1(2(2(3(3(2(2(0(1(0(2(2(3(1(0(2(3(x1)))))))))))))))))) [1]
   3(c_1(c_2(c_0(c_1(c_2(c_0(c_3(c_1(c_2(c_1(c_0(c_0(c_2(c_0(c_3(c_0(c_2(x1)))))))))))))))))) -> 3(1(0(2(2(1(3(0(0(2(0(3(2(1(1(0(2(0(x1)))))))))))))))))) [1]
   1(c_0(c_3(c_0(c_2(c_3(c_0(c_3(c_1(c_3(c_1(c_1(c_2(c_0(c_3(c_0(c_3(c_0(x1)))))))))))))))))) -> 1(0(1(0(2(3(0(3(0(3(0(3(3(1(0(2(1(3(x1)))))))))))))))))) [1]
   0(c_0(c_0(c_0(c_3(c_0(c_3(c_1(c_3(c_1(c_2(c_2(c_1(c_3(c_1(c_0(c_0(c_2(x1)))))))))))))))))) -> 0(0(3(3(2(1(3(0(0(1(1(2(0(0(1(0(2(3(x1)))))))))))))))))) [1]
   3(c_1(c_3(c_1(c_1(c_3(c_0(c_2(c_0(c_0(c_3(c_0(c_2(c_3(c_1(c_2(c_2(c_2(x1)))))))))))))))))) -> 3(1(3(1(0(3(3(2(1(2(1(2(0(2(3(2(0(0(x1)))))))))))))))))) [1]
   3(c_0(c_1(c_2(c_2(c_3(c_0(c_1(c_2(c_1(c_3(c_1(c_3(c_3(c_3(c_1(c_1(c_3(x1)))))))))))))))))) -> 0(2(1(3(3(3(2(1(1(0(1(3(3(2(1(1(3(3(x1)))))))))))))))))) [1]
   2(c_0(c_0(c_3(c_0(c_3(c_1(c_1(c_2(c_2(c_2(c_2(c_3(c_2(c_0(c_0(c_3(c_0(x1)))))))))))))))))) -> 2(0(3(0(1(3(2(2(3(0(1(3(2(2(0(2(0(0(x1)))))))))))))))))) [1]
   0(c_0(c_1(c_2(c_0(c_1(c_0(c_1(c_1(c_0(c_1(c_2(c_2(c_3(c_3(c_1(c_2(c_2(x1)))))))))))))))))) -> 0(2(0(1(2(3(1(1(0(0(2(3(2(1(1(1(0(2(x1)))))))))))))))))) [1]
   0(c_2(c_2(c_3(c_2(c_3(c_2(c_2(c_2(c_2(c_2(c_3(c_3(c_0(c_0(c_0(c_0(c_3(x1)))))))))))))))))) -> 0(2(0(3(2(2(0(3(3(3(2(2(2(0(2(0(2(3(x1)))))))))))))))))) [1]
   2(c_0(c_0(c_0(c_0(c_3(c_1(c_2(c_2(c_0(c_3(c_0(c_2(c_0(c_3(c_1(c_3(c_2(x1)))))))))))))))))) -> 2(0(1(0(2(3(2(0(3(3(2(3(0(2(1(0(0(0(x1)))))))))))))))))) [1]
   3(c_0(c_2(c_0(c_3(c_1(c_1(c_3(c_2(c_1(c_3(c_0(c_2(c_0(c_2(c_1(c_1(c_3(x1)))))))))))))))))) -> 1(3(3(2(0(0(0(1(3(3(2(0(1(1(2(1(2(3(x1)))))))))))))))))) [1]
   3(c_3(c_0(c_3(c_0(c_0(c_2(c_3(c_0(c_2(c_3(c_3(c_1(c_2(c_2(c_2(c_2(c_0(x1)))))))))))))))))) -> 3(3(0(0(3(2(3(2(0(0(0(2(3(2(1(2(3(2(x1)))))))))))))))))) [1]
   2(c_3(c_0(c_0(c_0(c_2(c_0(c_0(c_1(c_3(c_3(c_1(c_2(c_2(c_2(c_2(c_2(c_2(x1)))))))))))))))))) -> 2(1(2(2(3(0(0(3(0(3(2(0(0(2(2(1(2(2(x1)))))))))))))))))) [1]
   2(c_0(c_0(c_3(c_1(c_2(c_1(c_3(c_0(c_2(c_2(c_2(c_1(c_2(c_2(c_2(c_3(c_1(x1)))))))))))))))))) -> 2(1(0(3(2(2(1(2(3(2(2(0(3(2(2(0(1(1(x1)))))))))))))))))) [1]
   2(c_1(c_2(c_0(c_2(c_1(c_3(c_0(c_1(c_2(c_1(c_0(c_2(c_1(c_3(c_1(c_2(c_0(x1)))))))))))))))))) -> 2(1(2(3(1(0(1(0(0(2(1(1(3(2(0(2(1(2(x1)))))))))))))))))) [1]
   3(c_3(c_3(c_3(c_3(c_0(c_3(c_1(c_1(c_3(c_2(c_1(c_1(c_3(c_2(c_2(c_0(c_2(x1)))))))))))))))))) -> 3(3(1(0(1(2(3(2(0(1(1(3(3(3(3(2(3(2(x1)))))))))))))))))) [1]
   3(c_2(c_2(c_3(c_0(c_0(c_3(c_0(c_0(c_2(c_3(c_0(c_1(c_1(c_1(c_1(c_3(c_0(x1)))))))))))))))))) -> 3(2(0(3(2(3(0(1(0(1(1(0(3(1(3(0(2(0(x1)))))))))))))))))) [1]
   0(c_0(c_2(c_3(c_3(c_3(c_0(c_0(c_1(c_1(c_2(c_2(c_0(c_3(c_2(c_3(c_3(c_0(x1)))))))))))))))))) -> 0(3(0(2(3(0(1(3(3(2(0(0(3(3(2(1(2(0(x1)))))))))))))))))) [1]
   0(c_1(c_3(c_0(c_1(c_0(c_1(c_1(c_2(c_2(c_2(c_3(c_3(c_0(c_3(c_0(c_0(c_0(x1)))))))))))))))))) -> 0(2(1(0(0(3(2(0(0(3(3(3(1(1(0(1(2(0(x1)))))))))))))))))) [1]
   3(c_1(c_3(c_1(c_1(c_3(c_3(c_3(c_2(c_1(c_2(c_3(c_0(c_2(c_1(c_2(c_3(c_0(x1)))))))))))))))))) -> 3(3(3(2(0(1(3(2(0(1(3(3(1(2(1(1(2(3(x1)))))))))))))))))) [1]
   0(c_1(c_2(c_3(c_0(c_2(c_1(c_2(c_3(c_0(c_0(c_3(c_0(c_1(c_0(c_1(c_3(c_0(x1)))))))))))))))))) -> 0(2(0(0(0(2(3(3(1(1(3(2(0(3(0(0(1(1(x1)))))))))))))))))) [1]
   0(c_0(c_3(c_0(c_2(c_0(c_1(c_1(c_3(c_1(c_0(c_2(c_0(c_0(c_0(c_2(c_1(c_1(x1)))))))))))))))))) -> 0(3(1(0(3(2(0(1(0(1(0(0(2(0(1(2(0(1(x1)))))))))))))))))) [1]
   1(c_2(c_3(c_1(c_3(c_0(c_1(c_1(c_3(c_1(c_3(c_1(c_2(c_0(c_3(c_2(c_3(c_0(x1)))))))))))))))))) -> 1(1(3(2(1(3(3(0(2(0(3(3(1(1(3(2(0(1(x1)))))))))))))))))) [1]
   2(c_3(c_0(c_3(c_1(c_1(c_2(c_3(c_1(c_3(c_2(c_0(c_1(c_2(c_2(c_1(c_3(c_0(x1)))))))))))))))))) -> 2(1(1(0(1(2(1(3(3(3(2(2(0(2(1(3(3(0(x1)))))))))))))))))) [1]
   1(c_1(c_2(c_3(c_3(c_1(c_0(c_0(c_3(c_1(c_3(c_3(c_3(c_0(c_0(c_1(c_3(c_1(x1)))))))))))))))))) -> 1(3(0(2(3(3(3(1(1(0(3(3(3(0(1(1(0(1(x1)))))))))))))))))) [1]
   3(c_0(c_2(c_2(c_0(c_0(c_1(c_2(c_3(c_0(c_0(c_1(c_1(c_2(c_0(c_1(c_2(c_2(x1)))))))))))))))))) -> 2(3(0(2(3(1(1(0(2(0(2(1(1(0(0(2(0(2(x1)))))))))))))))))) [1]
   1(c_3(c_1(c_2(c_0(c_1(c_2(c_0(c_0(c_1(c_0(c_0(c_2(c_3(c_0(c_1(c_1(c_2(x1)))))))))))))))))) -> 1(3(2(2(0(2(1(0(1(0(0(1(2(0(1(1(3(0(x1)))))))))))))))))) [1]
   0(c_0(c_3(c_3(c_1(c_2(c_3(c_0(c_2(c_3(c_3(c_3(c_0(c_0(c_3(c_2(c_2(c_3(x1)))))))))))))))))) -> 3(0(3(3(2(0(2(3(2(0(3(1(3(3(2(0(0(3(x1)))))))))))))))))) [1]
   0(c_0(c_2(c_2(c_1(c_1(c_3(c_0(c_2(c_2(c_2(c_2(c_0(c_3(c_3(c_0(c_1(c_0(x1)))))))))))))))))) -> 0(2(2(1(1(0(2(3(0(0(2(0(2(1(3(2(3(0(x1)))))))))))))))))) [1]
   encArg(cons_0(x_1)) -> 0(encArg(x_1)) [0]
   encArg(cons_1(x_1)) -> 1(encArg(x_1)) [0]
   encArg(cons_2(x_1)) -> 2(encArg(x_1)) [0]
   encArg(cons_3(x_1)) -> 3(encArg(x_1)) [0]
   encode_0(x_1) -> 0(encArg(x_1)) [0]
   encode_3(x_1) -> 3(encArg(x_1)) [0]
   encode_1(x_1) -> 1(encArg(x_1)) [0]
   encode_2(x_1) -> 2(encArg(x_1)) [0]
   0(x0) -> c_0(x0) [0]
   1(x0) -> c_1(x0) [0]
   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'
2 => 2'
1 => 1'
3 => 3'

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

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


The TRS R consists of the following rules:

   0'(c_0(c_0(c_1(c_0(c_0(c_0(c_2(c_1(c_1(c_2(c_0(c_1(c_0(c_1(c_2(c_0(c_0(x1)))))))))))))))))) -> 0'(1'(0'(1'(1'(0'(0'(2'(1'(1'(0'(0'(2'(0'(2'(0'(0'(0'(x1)))))))))))))))))) [1]
   2'(c_3(c_1(c_1(c_2(c_0(c_2(c_0(c_3(c_2(c_2(c_3(c_1(c_2(c_2(c_3(c_0(c_0(x1)))))))))))))))))) -> 2'(2'(2'(2'(1'(3'(0'(2'(0'(3'(2'(1'(0'(1'(0'(3'(2'(3'(x1)))))))))))))))))) [1]
   3'(c_2(c_1(c_1(c_1(c_3(c_1(c_1(c_2(c_2(c_1(c_2(c_1(c_1(c_2(c_3(c_0(c_1(x1)))))))))))))))))) -> 3'(2'(1'(1'(1'(1'(1'(0'(3'(2'(2'(2'(1'(2'(3'(1'(1'(1'(x1)))))))))))))))))) [1]
   0'(c_0(c_1(c_3(c_2(c_1(c_0(c_0(c_3(c_2(c_3(c_1(c_3(c_0(c_0(c_2(c_0(c_0(x1)))))))))))))))))) -> 0'(0'(2'(3'(2'(0'(1'(0'(2'(1'(0'(1'(0'(3'(0'(3'(0'(3'(x1)))))))))))))))))) [1]
   2'(c_2(c_0(c_2(c_3(c_3(c_2(c_2(c_0(c_3(c_1(c_0(c_0(c_2(c_2(c_3(c_0(c_0(x1)))))))))))))))))) -> 2'(2'(0'(0'(3'(3'(2'(3'(2'(3'(2'(0'(2'(0'(0'(0'(1'(2'(x1)))))))))))))))))) [1]
   0'(c_3(c_1(c_2(c_3(c_1(c_0(c_3(c_3(c_3(c_1(c_3(c_0(c_3(c_2(c_2(c_1(c_2(x1)))))))))))))))))) -> 1'(0'(3'(1'(0'(3'(3'(3'(3'(2'(3'(2'(3'(2'(0'(2'(1'(1'(x1)))))))))))))))))) [1]
   0'(c_0(c_3(c_0(c_3(c_1(c_2(c_0(c_3(c_0(c_3(c_1(c_0(c_0(c_1(c_0(c_1(c_3(x1)))))))))))))))))) -> 0'(3'(0'(0'(3'(3'(0'(1'(0'(3'(0'(1'(0'(0'(2'(1'(1'(3'(x1)))))))))))))))))) [1]
   2'(c_2(c_3(c_3(c_1(c_2(c_3(c_2(c_1(c_2(c_1(c_3(c_2(c_2(c_1(c_1(c_2(c_1(x1)))))))))))))))))) -> 2'(1'(1'(1'(2'(2'(3'(2'(3'(3'(3'(2'(1'(2'(1'(2'(2'(1'(x1)))))))))))))))))) [1]
   0'(c_2(c_3(c_3(c_1(c_0(c_3(c_0(c_0(c_0(c_2(c_0(c_1(c_3(c_1(c_3(c_3(c_0(x1)))))))))))))))))) -> 0'(3'(0'(3'(3'(2'(3'(2'(3'(0'(0'(0'(0'(1'(1'(1'(3'(0'(x1)))))))))))))))))) [1]
   1'(c_3(c_0(c_3(c_3(c_0(c_2(c_3(c_1(c_0(c_0(c_0(c_3(c_2(c_1(c_2(c_3(c_3(x1)))))))))))))))))) -> 1'(3'(0'(2'(0'(0'(3'(1'(0'(2'(1'(0'(2'(3'(3'(3'(3'(3'(x1)))))))))))))))))) [1]
   1'(c_2(c_1(c_2(c_2(c_0(c_1(c_3(c_0(c_2(c_3(c_2(c_2(c_3(c_2(c_3(c_3(c_0(x1)))))))))))))))))) -> 1'(2'(0'(3'(0'(2'(2'(1'(3'(3'(2'(2'(2'(3'(3'(2'(1'(0'(x1)))))))))))))))))) [1]
   3'(c_1(c_2(c_1(c_0(c_3(c_1(c_1(c_2(c_2(c_3(c_0(c_2(c_2(c_3(c_0(c_2(c_0(x1)))))))))))))))))) -> 3'(1'(1'(1'(2'(2'(2'(0'(3'(2'(0'(3'(2'(3'(2'(0'(0'(1'(x1)))))))))))))))))) [1]
   1'(c_2(c_0(c_0(c_1(c_1(c_0(c_1(c_2(c_0(c_1(c_1(c_2(c_0(c_0(c_3(c_3(c_1(x1)))))))))))))))))) -> 1'(1'(1'(0'(1'(0'(1'(0'(1'(0'(0'(2'(0'(1'(3'(3'(2'(2'(x1)))))))))))))))))) [1]
   2'(c_3(c_0(c_0(c_3(c_0(c_0(c_3(c_0(c_2(c_2(c_2(c_2(c_3(c_2(c_0(c_3(c_0(x1)))))))))))))))))) -> 2'(2'(3'(0'(2'(0'(0'(2'(0'(3'(3'(2'(3'(3'(2'(0'(0'(0'(x1)))))))))))))))))) [1]
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   2'(c_3(c_0(c_3(c_1(c_1(c_2(c_3(c_1(c_3(c_2(c_0(c_1(c_2(c_2(c_1(c_3(c_0(x1)))))))))))))))))) -> 2'(1'(1'(0'(1'(2'(1'(3'(3'(3'(2'(2'(0'(2'(1'(3'(3'(0'(x1)))))))))))))))))) [1]
   1'(c_1(c_2(c_3(c_3(c_1(c_0(c_0(c_3(c_1(c_3(c_3(c_3(c_0(c_0(c_1(c_3(c_1(x1)))))))))))))))))) -> 1'(3'(0'(2'(3'(3'(3'(1'(1'(0'(3'(3'(3'(0'(1'(1'(0'(1'(x1)))))))))))))))))) [1]
   3'(c_0(c_2(c_2(c_0(c_0(c_1(c_2(c_3(c_0(c_0(c_1(c_1(c_2(c_0(c_1(c_2(c_2(x1)))))))))))))))))) -> 2'(3'(0'(2'(3'(1'(1'(0'(2'(0'(2'(1'(1'(0'(0'(2'(0'(2'(x1)))))))))))))))))) [1]
   1'(c_3(c_1(c_2(c_0(c_1(c_2(c_0(c_0(c_1(c_0(c_0(c_2(c_3(c_0(c_1(c_1(c_2(x1)))))))))))))))))) -> 1'(3'(2'(2'(0'(2'(1'(0'(1'(0'(0'(1'(2'(0'(1'(1'(3'(0'(x1)))))))))))))))))) [1]
   0'(c_0(c_3(c_3(c_1(c_2(c_3(c_0(c_2(c_3(c_3(c_3(c_0(c_0(c_3(c_2(c_2(c_3(x1)))))))))))))))))) -> 3'(0'(3'(3'(2'(0'(2'(3'(2'(0'(3'(1'(3'(3'(2'(0'(0'(3'(x1)))))))))))))))))) [1]
   0'(c_0(c_2(c_2(c_1(c_1(c_3(c_0(c_2(c_2(c_2(c_2(c_0(c_3(c_3(c_0(c_1(c_0(x1)))))))))))))))))) -> 0'(2'(2'(1'(1'(0'(2'(3'(0'(0'(2'(0'(2'(1'(3'(2'(3'(0'(x1)))))))))))))))))) [1]
   encArg(cons_0(x_1)) -> 0'(encArg(x_1)) [0]
   encArg(cons_1(x_1)) -> 1'(encArg(x_1)) [0]
   encArg(cons_2(x_1)) -> 2'(encArg(x_1)) [0]
   encArg(cons_3(x_1)) -> 3'(encArg(x_1)) [0]
   encode_0(x_1) -> 0'(encArg(x_1)) [0]
   encode_3(x_1) -> 3'(encArg(x_1)) [0]
   encode_1(x_1) -> 1'(encArg(x_1)) [0]
   encode_2(x_1) -> 2'(encArg(x_1)) [0]
   0'(x0) -> c_0(x0) [0]
   1'(x0) -> c_1(x0) [0]
   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_0(c_0(c_1(c_0(c_0(c_0(c_2(c_1(c_1(c_2(c_0(c_1(c_0(c_1(c_2(c_0(c_0(x1)))))))))))))))))) -> 0'(1'(0'(1'(1'(0'(0'(2'(1'(1'(0'(0'(2'(0'(2'(0'(0'(0'(x1)))))))))))))))))) [1]
   2'(c_3(c_1(c_1(c_2(c_0(c_2(c_0(c_3(c_2(c_2(c_3(c_1(c_2(c_2(c_3(c_0(c_0(x1)))))))))))))))))) -> 2'(2'(2'(2'(1'(3'(0'(2'(0'(3'(2'(1'(0'(1'(0'(3'(2'(3'(x1)))))))))))))))))) [1]
   3'(c_2(c_1(c_1(c_1(c_3(c_1(c_1(c_2(c_2(c_1(c_2(c_1(c_1(c_2(c_3(c_0(c_1(x1)))))))))))))))))) -> 3'(2'(1'(1'(1'(1'(1'(0'(3'(2'(2'(2'(1'(2'(3'(1'(1'(1'(x1)))))))))))))))))) [1]
   0'(c_0(c_1(c_3(c_2(c_1(c_0(c_0(c_3(c_2(c_3(c_1(c_3(c_0(c_0(c_2(c_0(c_0(x1)))))))))))))))))) -> 0'(0'(2'(3'(2'(0'(1'(0'(2'(1'(0'(1'(0'(3'(0'(3'(0'(3'(x1)))))))))))))))))) [1]
   2'(c_2(c_0(c_2(c_3(c_3(c_2(c_2(c_0(c_3(c_1(c_0(c_0(c_2(c_2(c_3(c_0(c_0(x1)))))))))))))))))) -> 2'(2'(0'(0'(3'(3'(2'(3'(2'(3'(2'(0'(2'(0'(0'(0'(1'(2'(x1)))))))))))))))))) [1]
   0'(c_3(c_1(c_2(c_3(c_1(c_0(c_3(c_3(c_3(c_1(c_3(c_0(c_3(c_2(c_2(c_1(c_2(x1)))))))))))))))))) -> 1'(0'(3'(1'(0'(3'(3'(3'(3'(2'(3'(2'(3'(2'(0'(2'(1'(1'(x1)))))))))))))))))) [1]
   0'(c_0(c_3(c_0(c_3(c_1(c_2(c_0(c_3(c_0(c_3(c_1(c_0(c_0(c_1(c_0(c_1(c_3(x1)))))))))))))))))) -> 0'(3'(0'(0'(3'(3'(0'(1'(0'(3'(0'(1'(0'(0'(2'(1'(1'(3'(x1)))))))))))))))))) [1]
   2'(c_2(c_3(c_3(c_1(c_2(c_3(c_2(c_1(c_2(c_1(c_3(c_2(c_2(c_1(c_1(c_2(c_1(x1)))))))))))))))))) -> 2'(1'(1'(1'(2'(2'(3'(2'(3'(3'(3'(2'(1'(2'(1'(2'(2'(1'(x1)))))))))))))))))) [1]
   0'(c_2(c_3(c_3(c_1(c_0(c_3(c_0(c_0(c_0(c_2(c_0(c_1(c_3(c_1(c_3(c_3(c_0(x1)))))))))))))))))) -> 0'(3'(0'(3'(3'(2'(3'(2'(3'(0'(0'(0'(0'(1'(1'(1'(3'(0'(x1)))))))))))))))))) [1]
   1'(c_3(c_0(c_3(c_3(c_0(c_2(c_3(c_1(c_0(c_0(c_0(c_3(c_2(c_1(c_2(c_3(c_3(x1)))))))))))))))))) -> 1'(3'(0'(2'(0'(0'(3'(1'(0'(2'(1'(0'(2'(3'(3'(3'(3'(3'(x1)))))))))))))))))) [1]
   1'(c_2(c_1(c_2(c_2(c_0(c_1(c_3(c_0(c_2(c_3(c_2(c_2(c_3(c_2(c_3(c_3(c_0(x1)))))))))))))))))) -> 1'(2'(0'(3'(0'(2'(2'(1'(3'(3'(2'(2'(2'(3'(3'(2'(1'(0'(x1)))))))))))))))))) [1]
   3'(c_1(c_2(c_1(c_0(c_3(c_1(c_1(c_2(c_2(c_3(c_0(c_2(c_2(c_3(c_0(c_2(c_0(x1)))))))))))))))))) -> 3'(1'(1'(1'(2'(2'(2'(0'(3'(2'(0'(3'(2'(3'(2'(0'(0'(1'(x1)))))))))))))))))) [1]
   1'(c_2(c_0(c_0(c_1(c_1(c_0(c_1(c_2(c_0(c_1(c_1(c_2(c_0(c_0(c_3(c_3(c_1(x1)))))))))))))))))) -> 1'(1'(1'(0'(1'(0'(1'(0'(1'(0'(0'(2'(0'(1'(3'(3'(2'(2'(x1)))))))))))))))))) [1]
   2'(c_3(c_0(c_0(c_3(c_0(c_0(c_3(c_0(c_2(c_2(c_2(c_2(c_3(c_2(c_0(c_3(c_0(x1)))))))))))))))))) -> 2'(2'(3'(0'(2'(0'(0'(2'(0'(3'(3'(2'(3'(3'(2'(0'(0'(0'(x1)))))))))))))))))) [1]
   3'(c_3(c_1(c_1(c_3(c_1(c_0(c_1(c_3(c_1(c_2(c_3(c_3(c_3(c_1(c_1(c_3(c_0(x1)))))))))))))))))) -> 3'(3'(1'(0'(3'(3'(1'(3'(3'(3'(3'(1'(1'(1'(1'(2'(0'(1'(x1)))))))))))))))))) [1]
   0'(c_0(c_1(c_3(c_1(c_0(c_3(c_1(c_1(c_3(c_1(c_2(c_3(c_1(c_2(c_2(c_1(c_1(x1)))))))))))))))))) -> 0'(3'(0'(2'(1'(0'(3'(2'(1'(1'(2'(1'(3'(1'(3'(1'(1'(1'(x1)))))))))))))))))) [1]
   2'(c_0(c_1(c_1(c_2(c_1(c_1(c_2(c_2(c_1(c_1(c_2(c_1(c_2(c_2(c_0(c_0(c_2(x1)))))))))))))))))) -> 2'(0'(2'(1'(2'(1'(0'(2'(2'(2'(1'(2'(1'(0'(2'(1'(1'(1'(x1)))))))))))))))))) [1]
   1'(c_0(c_0(c_0(c_3(c_0(c_0(c_1(c_3(c_1(c_2(c_1(c_2(c_2(c_1(c_2(c_3(c_1(x1)))))))))))))))))) -> 1'(3'(0'(0'(0'(3'(2'(1'(2'(1'(0'(0'(1'(3'(2'(2'(1'(1'(x1)))))))))))))))))) [1]
   0'(c_0(c_3(c_2(c_1(c_3(c_1(c_3(c_3(c_0(c_1(c_2(c_0(c_0(c_0(c_2(c_0(c_2(x1)))))))))))))))))) -> 0'(3'(0'(0'(2'(1'(3'(1'(2'(3'(2'(1'(0'(0'(0'(3'(2'(0'(x1)))))))))))))))))) [1]
   2'(c_2(c_1(c_1(c_3(c_0(c_0(c_3(c_2(c_3(c_1(c_2(c_1(c_0(c_0(c_2(c_1(c_2(x1)))))))))))))))))) -> 2'(1'(0'(0'(2'(1'(0'(3'(3'(2'(2'(1'(1'(1'(0'(3'(2'(2'(x1)))))))))))))))))) [1]
   1'(c_0(c_2(c_3(c_1(c_3(c_2(c_2(c_3(c_1(c_2(c_0(c_1(c_0(c_3(c_0(c_0(c_0(x1)))))))))))))))))) -> 1'(0'(3'(3'(2'(1'(3'(2'(3'(0'(1'(2'(0'(0'(2'(1'(0'(0'(x1)))))))))))))))))) [1]
   3'(c_1(c_3(c_0(c_3(c_0(c_3(c_2(c_2(c_3(c_0(c_2(c_3(c_1(c_2(c_1(c_0(c_2(x1)))))))))))))))))) -> 3'(0'(2'(2'(3'(2'(0'(1'(3'(1'(0'(2'(1'(3'(3'(2'(0'(3'(x1)))))))))))))))))) [1]
   1'(c_3(c_1(c_2(c_2(c_2(c_0(c_3(c_3(c_2(c_1(c_0(c_3(c_3(c_0(c_0(c_3(c_0(x1)))))))))))))))))) -> 1'(3'(2'(3'(0'(2'(3'(3'(3'(0'(0'(2'(0'(1'(3'(2'(1'(0'(x1)))))))))))))))))) [1]
   2'(c_2(c_3(c_3(c_3(c_3(c_3(c_1(c_2(c_0(c_1(c_1(c_1(c_2(c_3(c_1(c_2(c_1(x1)))))))))))))))))) -> 1'(3'(3'(3'(2'(0'(1'(2'(1'(2'(1'(3'(2'(3'(3'(2'(1'(1'(x1)))))))))))))))))) [1]
   2'(c_3(c_2(c_3(c_0(c_0(c_0(c_3(c_3(c_2(c_2(c_2(c_2(c_3(c_2(c_2(c_0(c_2(x1)))))))))))))))))) -> 2'(3'(3'(2'(3'(2'(0'(2'(2'(0'(0'(3'(2'(0'(2'(2'(3'(2'(x1)))))))))))))))))) [1]
   2'(c_2(c_0(c_1(c_2(c_3(c_3(c_0(c_3(c_2(c_2(c_2(c_0(c_3(c_3(c_1(c_1(c_3(x1)))))))))))))))))) -> 2'(1'(3'(2'(0'(3'(3'(0'(2'(1'(1'(3'(2'(0'(3'(2'(2'(3'(x1)))))))))))))))))) [1]
   0'(c_3(c_3(c_3(c_1(c_2(c_0(c_0(c_3(c_2(c_0(c_1(c_2(c_1(c_3(c_0(c_2(c_0(x1)))))))))))))))))) -> 0'(2'(1'(0'(1'(0'(1'(0'(0'(3'(3'(2'(3'(0'(2'(3'(2'(3'(x1)))))))))))))))))) [1]
   1'(c_2(c_1(c_3(c_1(c_1(c_3(c_0(c_3(c_1(c_1(c_1(c_1(c_1(c_3(c_0(c_1(c_3(x1)))))))))))))))))) -> 1'(0'(1'(1'(0'(3'(1'(3'(3'(1'(1'(3'(2'(1'(1'(1'(1'(3'(x1)))))))))))))))))) [1]
   0'(c_0(c_1(c_2(c_0(c_0(c_3(c_3(c_2(c_1(c_3(c_3(c_3(c_1(c_1(c_1(c_1(c_2(x1)))))))))))))))))) -> 0'(0'(3'(3'(1'(0'(2'(3'(2'(1'(1'(3'(1'(1'(1'(3'(2'(0'(x1)))))))))))))))))) [1]
   1'(c_3(c_1(c_1(c_1(c_2(c_0(c_2(c_1(c_2(c_0(c_3(c_3(c_1(c_2(c_2(c_3(c_1(x1)))))))))))))))))) -> 1'(2'(1'(2'(1'(2'(2'(1'(1'(1'(1'(0'(3'(3'(3'(0'(3'(2'(x1)))))))))))))))))) [1]
   1'(c_3(c_0(c_0(c_1(c_2(c_3(c_3(c_2(c_3(c_1(c_1(c_3(c_1(c_0(c_3(c_1(c_2(x1)))))))))))))))))) -> 1'(1'(2'(3'(3'(3'(3'(1'(1'(0'(2'(0'(1'(3'(3'(2'(0'(1'(x1)))))))))))))))))) [1]
   0'(c_0(c_1(c_1(c_1(c_3(c_2(c_2(c_2(c_1(c_3(c_2(c_3(c_0(c_0(c_0(c_0(c_0(x1)))))))))))))))))) -> 1'(0'(0'(3'(2'(0'(1'(3'(2'(0'(0'(2'(3'(1'(0'(2'(1'(0'(x1)))))))))))))))))) [1]
   1'(c_1(c_1(c_2(c_1(c_2(c_3(c_0(c_0(c_2(c_3(c_0(c_3(c_1(c_3(c_2(c_0(c_2(x1)))))))))))))))))) -> 1'(1'(1'(3'(0'(2'(0'(2'(0'(2'(3'(2'(0'(3'(3'(1'(1'(2'(x1)))))))))))))))))) [1]
   1'(c_0(c_3(c_3(c_3(c_0(c_2(c_3(c_0(c_2(c_1(c_1(c_0(c_3(c_3(c_1(c_3(c_1(x1)))))))))))))))))) -> 1'(3'(3'(1'(1'(1'(0'(3'(0'(0'(3'(3'(3'(2'(3'(2'(0'(1'(x1)))))))))))))))))) [1]
   2'(c_0(c_0(c_2(c_2(c_0(c_3(c_0(c_1(c_0(c_2(c_3(c_3(c_1(c_2(c_1(c_2(c_2(x1)))))))))))))))))) -> 2'(0'(1'(2'(2'(3'(0'(3'(3'(2'(0'(1'(2'(2'(1'(0'(2'(0'(x1)))))))))))))))))) [1]
   3'(c_0(c_2(c_0(c_3(c_3(c_0(c_0(c_2(c_2(c_0(c_1(c_0(c_3(c_3(c_1(c_3(c_1(x1)))))))))))))))))) -> 3'(0'(2'(1'(0'(1'(3'(3'(2'(0'(0'(3'(0'(3'(2'(3'(1'(0'(x1)))))))))))))))))) [1]
   3'(c_3(c_0(c_2(c_1(c_2(c_2(c_0(c_0(c_1(c_3(c_2(c_0(c_0(c_1(c_2(c_3(c_0(x1)))))))))))))))))) -> 0'(0'(1'(1'(0'(2'(2'(3'(3'(2'(1'(0'(0'(2'(3'(3'(2'(0'(x1)))))))))))))))))) [1]
   1'(c_2(c_2(c_3(c_2(c_1(c_3(c_0(c_3(c_1(c_3(c_3(c_1(c_3(c_0(c_3(c_3(c_3(x1)))))))))))))))))) -> 1'(3'(3'(1'(1'(2'(0'(3'(3'(2'(3'(1'(3'(2'(0'(3'(3'(3'(x1)))))))))))))))))) [1]
   0'(c_3(c_0(c_3(c_2(c_2(c_0(c_3(c_3(c_1(c_0(c_0(c_3(c_0(c_3(c_0(c_1(c_0(x1)))))))))))))))))) -> 0'(3'(0'(0'(3'(3'(3'(2'(1'(3'(2'(0'(0'(1'(3'(0'(0'(0'(x1)))))))))))))))))) [1]
   3'(c_3(c_0(c_2(c_0(c_2(c_0(c_3(c_3(c_3(c_1(c_0(c_2(c_2(c_2(c_3(c_3(c_0(x1)))))))))))))))))) -> 3'(2'(2'(1'(0'(3'(2'(0'(0'(2'(3'(3'(2'(3'(3'(0'(0'(3'(x1)))))))))))))))))) [1]
   1'(c_2(c_1(c_2(c_3(c_0(c_3(c_0(c_2(c_2(c_0(c_2(c_3(c_2(c_0(c_1(c_1(c_2(x1)))))))))))))))))) -> 1'(0'(1'(3'(2'(2'(0'(2'(1'(2'(1'(3'(2'(0'(2'(3'(0'(2'(x1)))))))))))))))))) [1]
   1'(c_2(c_2(c_3(c_3(c_0(c_1(c_2(c_1(c_0(c_3(c_1(c_2(c_3(c_1(c_1(c_2(c_2(x1)))))))))))))))))) -> 1'(3'(3'(2'(3'(3'(1'(2'(2'(0'(1'(2'(2'(2'(1'(1'(1'(0'(x1)))))))))))))))))) [1]
   1'(c_3(c_3(c_0(c_3(c_1(c_0(c_1(c_3(c_1(c_2(c_2(c_0(c_3(c_1(c_1(c_0(c_0(x1)))))))))))))))))) -> 1'(3'(2'(0'(3'(0'(0'(0'(3'(2'(1'(3'(1'(1'(1'(1'(3'(0'(x1)))))))))))))))))) [1]
   0'(c_0(c_0(c_3(c_0(c_3(c_0(c_1(c_2(c_1(c_0(c_0(c_0(c_1(c_2(c_3(c_3(c_3(x1)))))))))))))))))) -> 0'(0'(0'(2'(3'(0'(0'(0'(0'(1'(1'(3'(1'(0'(2'(3'(3'(3'(x1)))))))))))))))))) [1]
   1'(c_1(c_2(c_1(c_3(c_0(c_2(c_1(c_0(c_0(c_3(c_0(c_1(c_2(c_2(c_0(c_3(c_3(x1)))))))))))))))))) -> 1'(0'(3'(2'(1'(0'(3'(3'(1'(0'(2'(2'(0'(1'(0'(2'(1'(3'(x1)))))))))))))))))) [1]
   2'(c_3(c_1(c_1(c_3(c_1(c_0(c_2(c_3(c_0(c_0(c_0(c_2(c_3(c_3(c_2(c_3(c_1(x1)))))))))))))))))) -> 2'(3'(3'(2'(0'(2'(1'(0'(3'(3'(0'(3'(1'(0'(1'(2'(3'(1'(x1)))))))))))))))))) [1]
   3'(c_0(c_1(c_0(c_3(c_1(c_2(c_2(c_0(c_1(c_1(c_1(c_3(c_3(c_0(c_2(c_3(c_0(x1)))))))))))))))))) -> 0'(3'(3'(2'(1'(0'(0'(2'(3'(3'(1'(1'(0'(1'(1'(3'(2'(0'(x1)))))))))))))))))) [1]
   0'(c_0(c_3(c_0(c_3(c_3(c_3(c_1(c_1(c_1(c_3(c_1(c_1(c_2(c_1(c_2(c_3(c_0(x1)))))))))))))))))) -> 0'(3'(3'(1'(2'(1'(3'(0'(3'(3'(2'(0'(1'(1'(0'(1'(1'(3'(x1)))))))))))))))))) [1]
   2'(c_2(c_3(c_1(c_1(c_2(c_2(c_0(c_1(c_0(c_1(c_0(c_1(c_0(c_1(c_3(c_1(c_0(x1)))))))))))))))))) -> 2'(0'(1'(0'(1'(1'(0'(3'(2'(1'(1'(0'(2'(2'(3'(1'(1'(0'(x1)))))))))))))))))) [1]
   0'(c_0(c_1(c_0(c_1(c_1(c_1(c_0(c_2(c_2(c_3(c_3(c_1(c_3(c_0(c_2(c_1(c_0(x1)))))))))))))))))) -> 0'(0'(1'(1'(1'(3'(3'(3'(2'(1'(1'(0'(0'(1'(2'(0'(2'(0'(x1)))))))))))))))))) [1]
   1'(c_2(c_1(c_0(c_1(c_3(c_0(c_3(c_3(c_1(c_3(c_1(c_2(c_2(c_3(c_0(c_2(c_0(x1)))))))))))))))))) -> 1'(1'(3'(3'(2'(0'(0'(3'(2'(1'(2'(3'(3'(2'(0'(1'(1'(0'(x1)))))))))))))))))) [1]
   2'(c_2(c_3(c_1(c_2(c_2(c_2(c_1(c_2(c_0(c_1(c_3(c_2(c_2(c_3(c_3(c_0(c_0(x1)))))))))))))))))) -> 2'(1'(2'(2'(3'(3'(2'(2'(0'(1'(0'(2'(2'(3'(1'(0'(2'(3'(x1)))))))))))))))))) [1]
   3'(c_1(c_2(c_0(c_1(c_2(c_0(c_3(c_1(c_2(c_1(c_0(c_0(c_2(c_0(c_3(c_0(c_2(x1)))))))))))))))))) -> 3'(1'(0'(2'(2'(1'(3'(0'(0'(2'(0'(3'(2'(1'(1'(0'(2'(0'(x1)))))))))))))))))) [1]
   1'(c_0(c_3(c_0(c_2(c_3(c_0(c_3(c_1(c_3(c_1(c_1(c_2(c_0(c_3(c_0(c_3(c_0(x1)))))))))))))))))) -> 1'(0'(1'(0'(2'(3'(0'(3'(0'(3'(0'(3'(3'(1'(0'(2'(1'(3'(x1)))))))))))))))))) [1]
   0'(c_0(c_0(c_0(c_3(c_0(c_3(c_1(c_3(c_1(c_2(c_2(c_1(c_3(c_1(c_0(c_0(c_2(x1)))))))))))))))))) -> 0'(0'(3'(3'(2'(1'(3'(0'(0'(1'(1'(2'(0'(0'(1'(0'(2'(3'(x1)))))))))))))))))) [1]
   3'(c_1(c_3(c_1(c_1(c_3(c_0(c_2(c_0(c_0(c_3(c_0(c_2(c_3(c_1(c_2(c_2(c_2(x1)))))))))))))))))) -> 3'(1'(3'(1'(0'(3'(3'(2'(1'(2'(1'(2'(0'(2'(3'(2'(0'(0'(x1)))))))))))))))))) [1]
   3'(c_0(c_1(c_2(c_2(c_3(c_0(c_1(c_2(c_1(c_3(c_1(c_3(c_3(c_3(c_1(c_1(c_3(x1)))))))))))))))))) -> 0'(2'(1'(3'(3'(3'(2'(1'(1'(0'(1'(3'(3'(2'(1'(1'(3'(3'(x1)))))))))))))))))) [1]
   2'(c_0(c_0(c_3(c_0(c_3(c_1(c_1(c_2(c_2(c_2(c_2(c_3(c_2(c_0(c_0(c_3(c_0(x1)))))))))))))))))) -> 2'(0'(3'(0'(1'(3'(2'(2'(3'(0'(1'(3'(2'(2'(0'(2'(0'(0'(x1)))))))))))))))))) [1]
   0'(c_0(c_1(c_2(c_0(c_1(c_0(c_1(c_1(c_0(c_1(c_2(c_2(c_3(c_3(c_1(c_2(c_2(x1)))))))))))))))))) -> 0'(2'(0'(1'(2'(3'(1'(1'(0'(0'(2'(3'(2'(1'(1'(1'(0'(2'(x1)))))))))))))))))) [1]
   0'(c_2(c_2(c_3(c_2(c_3(c_2(c_2(c_2(c_2(c_2(c_3(c_3(c_0(c_0(c_0(c_0(c_3(x1)))))))))))))))))) -> 0'(2'(0'(3'(2'(2'(0'(3'(3'(3'(2'(2'(2'(0'(2'(0'(2'(3'(x1)))))))))))))))))) [1]
   2'(c_0(c_0(c_0(c_0(c_3(c_1(c_2(c_2(c_0(c_3(c_0(c_2(c_0(c_3(c_1(c_3(c_2(x1)))))))))))))))))) -> 2'(0'(1'(0'(2'(3'(2'(0'(3'(3'(2'(3'(0'(2'(1'(0'(0'(0'(x1)))))))))))))))))) [1]
   3'(c_0(c_2(c_0(c_3(c_1(c_1(c_3(c_2(c_1(c_3(c_0(c_2(c_0(c_2(c_1(c_1(c_3(x1)))))))))))))))))) -> 1'(3'(3'(2'(0'(0'(0'(1'(3'(3'(2'(0'(1'(1'(2'(1'(2'(3'(x1)))))))))))))))))) [1]
   3'(c_3(c_0(c_3(c_0(c_0(c_2(c_3(c_0(c_2(c_3(c_3(c_1(c_2(c_2(c_2(c_2(c_0(x1)))))))))))))))))) -> 3'(3'(0'(0'(3'(2'(3'(2'(0'(0'(0'(2'(3'(2'(1'(2'(3'(2'(x1)))))))))))))))))) [1]
   2'(c_3(c_0(c_0(c_0(c_2(c_0(c_0(c_1(c_3(c_3(c_1(c_2(c_2(c_2(c_2(c_2(c_2(x1)))))))))))))))))) -> 2'(1'(2'(2'(3'(0'(0'(3'(0'(3'(2'(0'(0'(2'(2'(1'(2'(2'(x1)))))))))))))))))) [1]
   2'(c_0(c_0(c_3(c_1(c_2(c_1(c_3(c_0(c_2(c_2(c_2(c_1(c_2(c_2(c_2(c_3(c_1(x1)))))))))))))))))) -> 2'(1'(0'(3'(2'(2'(1'(2'(3'(2'(2'(0'(3'(2'(2'(0'(1'(1'(x1)))))))))))))))))) [1]
   2'(c_1(c_2(c_0(c_2(c_1(c_3(c_0(c_1(c_2(c_1(c_0(c_2(c_1(c_3(c_1(c_2(c_0(x1)))))))))))))))))) -> 2'(1'(2'(3'(1'(0'(1'(0'(0'(2'(1'(1'(3'(2'(0'(2'(1'(2'(x1)))))))))))))))))) [1]
   3'(c_3(c_3(c_3(c_3(c_0(c_3(c_1(c_1(c_3(c_2(c_1(c_1(c_3(c_2(c_2(c_0(c_2(x1)))))))))))))))))) -> 3'(3'(1'(0'(1'(2'(3'(2'(0'(1'(1'(3'(3'(3'(3'(2'(3'(2'(x1)))))))))))))))))) [1]
   3'(c_2(c_2(c_3(c_0(c_0(c_3(c_0(c_0(c_2(c_3(c_0(c_1(c_1(c_1(c_1(c_3(c_0(x1)))))))))))))))))) -> 3'(2'(0'(3'(2'(3'(0'(1'(0'(1'(1'(0'(3'(1'(3'(0'(2'(0'(x1)))))))))))))))))) [1]
   0'(c_0(c_2(c_3(c_3(c_3(c_0(c_0(c_1(c_1(c_2(c_2(c_0(c_3(c_2(c_3(c_3(c_0(x1)))))))))))))))))) -> 0'(3'(0'(2'(3'(0'(1'(3'(3'(2'(0'(0'(3'(3'(2'(1'(2'(0'(x1)))))))))))))))))) [1]
   0'(c_1(c_3(c_0(c_1(c_0(c_1(c_1(c_2(c_2(c_2(c_3(c_3(c_0(c_3(c_0(c_0(c_0(x1)))))))))))))))))) -> 0'(2'(1'(0'(0'(3'(2'(0'(0'(3'(3'(3'(1'(1'(0'(1'(2'(0'(x1)))))))))))))))))) [1]
   3'(c_1(c_3(c_1(c_1(c_3(c_3(c_3(c_2(c_1(c_2(c_3(c_0(c_2(c_1(c_2(c_3(c_0(x1)))))))))))))))))) -> 3'(3'(3'(2'(0'(1'(3'(2'(0'(1'(3'(3'(1'(2'(1'(1'(2'(3'(x1)))))))))))))))))) [1]
   0'(c_1(c_2(c_3(c_0(c_2(c_1(c_2(c_3(c_0(c_0(c_3(c_0(c_1(c_0(c_1(c_3(c_0(x1)))))))))))))))))) -> 0'(2'(0'(0'(0'(2'(3'(3'(1'(1'(3'(2'(0'(3'(0'(0'(1'(1'(x1)))))))))))))))))) [1]
   0'(c_0(c_3(c_0(c_2(c_0(c_1(c_1(c_3(c_1(c_0(c_2(c_0(c_0(c_0(c_2(c_1(c_1(x1)))))))))))))))))) -> 0'(3'(1'(0'(3'(2'(0'(1'(0'(1'(0'(0'(2'(0'(1'(2'(0'(1'(x1)))))))))))))))))) [1]
   1'(c_2(c_3(c_1(c_3(c_0(c_1(c_1(c_3(c_1(c_3(c_1(c_2(c_0(c_3(c_2(c_3(c_0(x1)))))))))))))))))) -> 1'(1'(3'(2'(1'(3'(3'(0'(2'(0'(3'(3'(1'(1'(3'(2'(0'(1'(x1)))))))))))))))))) [1]
   2'(c_3(c_0(c_3(c_1(c_1(c_2(c_3(c_1(c_3(c_2(c_0(c_1(c_2(c_2(c_1(c_3(c_0(x1)))))))))))))))))) -> 2'(1'(1'(0'(1'(2'(1'(3'(3'(3'(2'(2'(0'(2'(1'(3'(3'(0'(x1)))))))))))))))))) [1]
   1'(c_1(c_2(c_3(c_3(c_1(c_0(c_0(c_3(c_1(c_3(c_3(c_3(c_0(c_0(c_1(c_3(c_1(x1)))))))))))))))))) -> 1'(3'(0'(2'(3'(3'(3'(1'(1'(0'(3'(3'(3'(0'(1'(1'(0'(1'(x1)))))))))))))))))) [1]
   3'(c_0(c_2(c_2(c_0(c_0(c_1(c_2(c_3(c_0(c_0(c_1(c_1(c_2(c_0(c_1(c_2(c_2(x1)))))))))))))))))) -> 2'(3'(0'(2'(3'(1'(1'(0'(2'(0'(2'(1'(1'(0'(0'(2'(0'(2'(x1)))))))))))))))))) [1]
   1'(c_3(c_1(c_2(c_0(c_1(c_2(c_0(c_0(c_1(c_0(c_0(c_2(c_3(c_0(c_1(c_1(c_2(x1)))))))))))))))))) -> 1'(3'(2'(2'(0'(2'(1'(0'(1'(0'(0'(1'(2'(0'(1'(1'(3'(0'(x1)))))))))))))))))) [1]
   0'(c_0(c_3(c_3(c_1(c_2(c_3(c_0(c_2(c_3(c_3(c_3(c_0(c_0(c_3(c_2(c_2(c_3(x1)))))))))))))))))) -> 3'(0'(3'(3'(2'(0'(2'(3'(2'(0'(3'(1'(3'(3'(2'(0'(0'(3'(x1)))))))))))))))))) [1]
   0'(c_0(c_2(c_2(c_1(c_1(c_3(c_0(c_2(c_2(c_2(c_2(c_0(c_3(c_3(c_0(c_1(c_0(x1)))))))))))))))))) -> 0'(2'(2'(1'(1'(0'(2'(3'(0'(0'(2'(0'(2'(1'(3'(2'(3'(0'(x1)))))))))))))))))) [1]
   encArg(cons_0(x_1)) -> 0'(encArg(x_1)) [0]
   encArg(cons_1(x_1)) -> 1'(encArg(x_1)) [0]
   encArg(cons_2(x_1)) -> 2'(encArg(x_1)) [0]
   encArg(cons_3(x_1)) -> 3'(encArg(x_1)) [0]
   encode_0(x_1) -> 0'(encArg(x_1)) [0]
   encode_3(x_1) -> 3'(encArg(x_1)) [0]
   encode_1(x_1) -> 1'(encArg(x_1)) [0]
   encode_2(x_1) -> 2'(encArg(x_1)) [0]
   0'(x0) -> c_0(x0) [0]
   1'(x0) -> c_1(x0) [0]
   2'(x0) -> c_2(x0) [0]
   3'(x0) -> c_3(x0) [0]

The TRS has the following type information:
0' :: c_0:c_2:c_1:c_3 -> c_0:c_2:c_1:c_3
c_0 :: c_0:c_2:c_1:c_3 -> c_0:c_2:c_1:c_3
c_1 :: c_0:c_2:c_1:c_3 -> c_0:c_2:c_1:c_3
c_2 :: c_0:c_2:c_1:c_3 -> c_0:c_2:c_1:c_3
1' :: c_0:c_2:c_1:c_3 -> c_0:c_2:c_1:c_3
2' :: c_0:c_2:c_1:c_3 -> c_0:c_2:c_1:c_3
c_3 :: c_0:c_2:c_1:c_3 -> c_0:c_2:c_1:c_3
3' :: c_0:c_2:c_1:c_3 -> c_0:c_2:c_1:c_3
encArg :: cons_0:cons_1:cons_2:cons_3 -> c_0:c_2:c_1:c_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_0:c_2:c_1:c_3
encode_3 :: cons_0:cons_1:cons_2:cons_3 -> c_0:c_2:c_1:c_3
encode_1 :: cons_0:cons_1:cons_2:cons_3 -> c_0:c_2:c_1:c_3
encode_2 :: cons_0:cons_1:cons_2:cons_3 -> c_0:c_2:c_1:c_3

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

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

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

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

(c) The following functions are completely defined:

   encArg_1
   encode_0_1
   encode_3_1
   encode_1_1
   encode_2_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_3(v0) -> const [0]
   encode_1(v0) -> const [0]
   encode_2(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_0(c_0(c_1(c_0(c_0(c_0(c_2(c_1(c_1(c_2(c_0(c_1(c_0(c_1(c_2(c_0(c_0(x1)))))))))))))))))) -> 0'(1'(0'(1'(1'(0'(0'(2'(1'(1'(0'(0'(2'(0'(2'(0'(0'(0'(x1)))))))))))))))))) [1]
   2'(c_3(c_1(c_1(c_2(c_0(c_2(c_0(c_3(c_2(c_2(c_3(c_1(c_2(c_2(c_3(c_0(c_0(x1)))))))))))))))))) -> 2'(2'(2'(2'(1'(3'(0'(2'(0'(3'(2'(1'(0'(1'(0'(3'(2'(3'(x1)))))))))))))))))) [1]
   3'(c_2(c_1(c_1(c_1(c_3(c_1(c_1(c_2(c_2(c_1(c_2(c_1(c_1(c_2(c_3(c_0(c_1(x1)))))))))))))))))) -> 3'(2'(1'(1'(1'(1'(1'(0'(3'(2'(2'(2'(1'(2'(3'(1'(1'(1'(x1)))))))))))))))))) [1]
   0'(c_0(c_1(c_3(c_2(c_1(c_0(c_0(c_3(c_2(c_3(c_1(c_3(c_0(c_0(c_2(c_0(c_0(x1)))))))))))))))))) -> 0'(0'(2'(3'(2'(0'(1'(0'(2'(1'(0'(1'(0'(3'(0'(3'(0'(3'(x1)))))))))))))))))) [1]
   2'(c_2(c_0(c_2(c_3(c_3(c_2(c_2(c_0(c_3(c_1(c_0(c_0(c_2(c_2(c_3(c_0(c_0(x1)))))))))))))))))) -> 2'(2'(0'(0'(3'(3'(2'(3'(2'(3'(2'(0'(2'(0'(0'(0'(1'(2'(x1)))))))))))))))))) [1]
   0'(c_3(c_1(c_2(c_3(c_1(c_0(c_3(c_3(c_3(c_1(c_3(c_0(c_3(c_2(c_2(c_1(c_2(x1)))))))))))))))))) -> 1'(0'(3'(1'(0'(3'(3'(3'(3'(2'(3'(2'(3'(2'(0'(2'(1'(1'(x1)))))))))))))))))) [1]
   0'(c_0(c_3(c_0(c_3(c_1(c_2(c_0(c_3(c_0(c_3(c_1(c_0(c_0(c_1(c_0(c_1(c_3(x1)))))))))))))))))) -> 0'(3'(0'(0'(3'(3'(0'(1'(0'(3'(0'(1'(0'(0'(2'(1'(1'(3'(x1)))))))))))))))))) [1]
   2'(c_2(c_3(c_3(c_1(c_2(c_3(c_2(c_1(c_2(c_1(c_3(c_2(c_2(c_1(c_1(c_2(c_1(x1)))))))))))))))))) -> 2'(1'(1'(1'(2'(2'(3'(2'(3'(3'(3'(2'(1'(2'(1'(2'(2'(1'(x1)))))))))))))))))) [1]
   0'(c_2(c_3(c_3(c_1(c_0(c_3(c_0(c_0(c_0(c_2(c_0(c_1(c_3(c_1(c_3(c_3(c_0(x1)))))))))))))))))) -> 0'(3'(0'(3'(3'(2'(3'(2'(3'(0'(0'(0'(0'(1'(1'(1'(3'(0'(x1)))))))))))))))))) [1]
   1'(c_3(c_0(c_3(c_3(c_0(c_2(c_3(c_1(c_0(c_0(c_0(c_3(c_2(c_1(c_2(c_3(c_3(x1)))))))))))))))))) -> 1'(3'(0'(2'(0'(0'(3'(1'(0'(2'(1'(0'(2'(3'(3'(3'(3'(3'(x1)))))))))))))))))) [1]
   1'(c_2(c_1(c_2(c_2(c_0(c_1(c_3(c_0(c_2(c_3(c_2(c_2(c_3(c_2(c_3(c_3(c_0(x1)))))))))))))))))) -> 1'(2'(0'(3'(0'(2'(2'(1'(3'(3'(2'(2'(2'(3'(3'(2'(1'(0'(x1)))))))))))))))))) [1]
   3'(c_1(c_2(c_1(c_0(c_3(c_1(c_1(c_2(c_2(c_3(c_0(c_2(c_2(c_3(c_0(c_2(c_0(x1)))))))))))))))))) -> 3'(1'(1'(1'(2'(2'(2'(0'(3'(2'(0'(3'(2'(3'(2'(0'(0'(1'(x1)))))))))))))))))) [1]
   1'(c_2(c_0(c_0(c_1(c_1(c_0(c_1(c_2(c_0(c_1(c_1(c_2(c_0(c_0(c_3(c_3(c_1(x1)))))))))))))))))) -> 1'(1'(1'(0'(1'(0'(1'(0'(1'(0'(0'(2'(0'(1'(3'(3'(2'(2'(x1)))))))))))))))))) [1]
   2'(c_3(c_0(c_0(c_3(c_0(c_0(c_3(c_0(c_2(c_2(c_2(c_2(c_3(c_2(c_0(c_3(c_0(x1)))))))))))))))))) -> 2'(2'(3'(0'(2'(0'(0'(2'(0'(3'(3'(2'(3'(3'(2'(0'(0'(0'(x1)))))))))))))))))) [1]
   3'(c_3(c_1(c_1(c_3(c_1(c_0(c_1(c_3(c_1(c_2(c_3(c_3(c_3(c_1(c_1(c_3(c_0(x1)))))))))))))))))) -> 3'(3'(1'(0'(3'(3'(1'(3'(3'(3'(3'(1'(1'(1'(1'(2'(0'(1'(x1)))))))))))))))))) [1]
   0'(c_0(c_1(c_3(c_1(c_0(c_3(c_1(c_1(c_3(c_1(c_2(c_3(c_1(c_2(c_2(c_1(c_1(x1)))))))))))))))))) -> 0'(3'(0'(2'(1'(0'(3'(2'(1'(1'(2'(1'(3'(1'(3'(1'(1'(1'(x1)))))))))))))))))) [1]
   2'(c_0(c_1(c_1(c_2(c_1(c_1(c_2(c_2(c_1(c_1(c_2(c_1(c_2(c_2(c_0(c_0(c_2(x1)))))))))))))))))) -> 2'(0'(2'(1'(2'(1'(0'(2'(2'(2'(1'(2'(1'(0'(2'(1'(1'(1'(x1)))))))))))))))))) [1]
   1'(c_0(c_0(c_0(c_3(c_0(c_0(c_1(c_3(c_1(c_2(c_1(c_2(c_2(c_1(c_2(c_3(c_1(x1)))))))))))))))))) -> 1'(3'(0'(0'(0'(3'(2'(1'(2'(1'(0'(0'(1'(3'(2'(2'(1'(1'(x1)))))))))))))))))) [1]
   0'(c_0(c_3(c_2(c_1(c_3(c_1(c_3(c_3(c_0(c_1(c_2(c_0(c_0(c_0(c_2(c_0(c_2(x1)))))))))))))))))) -> 0'(3'(0'(0'(2'(1'(3'(1'(2'(3'(2'(1'(0'(0'(0'(3'(2'(0'(x1)))))))))))))))))) [1]
   2'(c_2(c_1(c_1(c_3(c_0(c_0(c_3(c_2(c_3(c_1(c_2(c_1(c_0(c_0(c_2(c_1(c_2(x1)))))))))))))))))) -> 2'(1'(0'(0'(2'(1'(0'(3'(3'(2'(2'(1'(1'(1'(0'(3'(2'(2'(x1)))))))))))))))))) [1]
   1'(c_0(c_2(c_3(c_1(c_3(c_2(c_2(c_3(c_1(c_2(c_0(c_1(c_0(c_3(c_0(c_0(c_0(x1)))))))))))))))))) -> 1'(0'(3'(3'(2'(1'(3'(2'(3'(0'(1'(2'(0'(0'(2'(1'(0'(0'(x1)))))))))))))))))) [1]
   3'(c_1(c_3(c_0(c_3(c_0(c_3(c_2(c_2(c_3(c_0(c_2(c_3(c_1(c_2(c_1(c_0(c_2(x1)))))))))))))))))) -> 3'(0'(2'(2'(3'(2'(0'(1'(3'(1'(0'(2'(1'(3'(3'(2'(0'(3'(x1)))))))))))))))))) [1]
   1'(c_3(c_1(c_2(c_2(c_2(c_0(c_3(c_3(c_2(c_1(c_0(c_3(c_3(c_0(c_0(c_3(c_0(x1)))))))))))))))))) -> 1'(3'(2'(3'(0'(2'(3'(3'(3'(0'(0'(2'(0'(1'(3'(2'(1'(0'(x1)))))))))))))))))) [1]
   2'(c_2(c_3(c_3(c_3(c_3(c_3(c_1(c_2(c_0(c_1(c_1(c_1(c_2(c_3(c_1(c_2(c_1(x1)))))))))))))))))) -> 1'(3'(3'(3'(2'(0'(1'(2'(1'(2'(1'(3'(2'(3'(3'(2'(1'(1'(x1)))))))))))))))))) [1]
   2'(c_3(c_2(c_3(c_0(c_0(c_0(c_3(c_3(c_2(c_2(c_2(c_2(c_3(c_2(c_2(c_0(c_2(x1)))))))))))))))))) -> 2'(3'(3'(2'(3'(2'(0'(2'(2'(0'(0'(3'(2'(0'(2'(2'(3'(2'(x1)))))))))))))))))) [1]
   2'(c_2(c_0(c_1(c_2(c_3(c_3(c_0(c_3(c_2(c_2(c_2(c_0(c_3(c_3(c_1(c_1(c_3(x1)))))))))))))))))) -> 2'(1'(3'(2'(0'(3'(3'(0'(2'(1'(1'(3'(2'(0'(3'(2'(2'(3'(x1)))))))))))))))))) [1]
   0'(c_3(c_3(c_3(c_1(c_2(c_0(c_0(c_3(c_2(c_0(c_1(c_2(c_1(c_3(c_0(c_2(c_0(x1)))))))))))))))))) -> 0'(2'(1'(0'(1'(0'(1'(0'(0'(3'(3'(2'(3'(0'(2'(3'(2'(3'(x1)))))))))))))))))) [1]
   1'(c_2(c_1(c_3(c_1(c_1(c_3(c_0(c_3(c_1(c_1(c_1(c_1(c_1(c_3(c_0(c_1(c_3(x1)))))))))))))))))) -> 1'(0'(1'(1'(0'(3'(1'(3'(3'(1'(1'(3'(2'(1'(1'(1'(1'(3'(x1)))))))))))))))))) [1]
   0'(c_0(c_1(c_2(c_0(c_0(c_3(c_3(c_2(c_1(c_3(c_3(c_3(c_1(c_1(c_1(c_1(c_2(x1)))))))))))))))))) -> 0'(0'(3'(3'(1'(0'(2'(3'(2'(1'(1'(3'(1'(1'(1'(3'(2'(0'(x1)))))))))))))))))) [1]
   1'(c_3(c_1(c_1(c_1(c_2(c_0(c_2(c_1(c_2(c_0(c_3(c_3(c_1(c_2(c_2(c_3(c_1(x1)))))))))))))))))) -> 1'(2'(1'(2'(1'(2'(2'(1'(1'(1'(1'(0'(3'(3'(3'(0'(3'(2'(x1)))))))))))))))))) [1]
   1'(c_3(c_0(c_0(c_1(c_2(c_3(c_3(c_2(c_3(c_1(c_1(c_3(c_1(c_0(c_3(c_1(c_2(x1)))))))))))))))))) -> 1'(1'(2'(3'(3'(3'(3'(1'(1'(0'(2'(0'(1'(3'(3'(2'(0'(1'(x1)))))))))))))))))) [1]
   0'(c_0(c_1(c_1(c_1(c_3(c_2(c_2(c_2(c_1(c_3(c_2(c_3(c_0(c_0(c_0(c_0(c_0(x1)))))))))))))))))) -> 1'(0'(0'(3'(2'(0'(1'(3'(2'(0'(0'(2'(3'(1'(0'(2'(1'(0'(x1)))))))))))))))))) [1]
   1'(c_1(c_1(c_2(c_1(c_2(c_3(c_0(c_0(c_2(c_3(c_0(c_3(c_1(c_3(c_2(c_0(c_2(x1)))))))))))))))))) -> 1'(1'(1'(3'(0'(2'(0'(2'(0'(2'(3'(2'(0'(3'(3'(1'(1'(2'(x1)))))))))))))))))) [1]
   1'(c_0(c_3(c_3(c_3(c_0(c_2(c_3(c_0(c_2(c_1(c_1(c_0(c_3(c_3(c_1(c_3(c_1(x1)))))))))))))))))) -> 1'(3'(3'(1'(1'(1'(0'(3'(0'(0'(3'(3'(3'(2'(3'(2'(0'(1'(x1)))))))))))))))))) [1]
   2'(c_0(c_0(c_2(c_2(c_0(c_3(c_0(c_1(c_0(c_2(c_3(c_3(c_1(c_2(c_1(c_2(c_2(x1)))))))))))))))))) -> 2'(0'(1'(2'(2'(3'(0'(3'(3'(2'(0'(1'(2'(2'(1'(0'(2'(0'(x1)))))))))))))))))) [1]
   3'(c_0(c_2(c_0(c_3(c_3(c_0(c_0(c_2(c_2(c_0(c_1(c_0(c_3(c_3(c_1(c_3(c_1(x1)))))))))))))))))) -> 3'(0'(2'(1'(0'(1'(3'(3'(2'(0'(0'(3'(0'(3'(2'(3'(1'(0'(x1)))))))))))))))))) [1]
   3'(c_3(c_0(c_2(c_1(c_2(c_2(c_0(c_0(c_1(c_3(c_2(c_0(c_0(c_1(c_2(c_3(c_0(x1)))))))))))))))))) -> 0'(0'(1'(1'(0'(2'(2'(3'(3'(2'(1'(0'(0'(2'(3'(3'(2'(0'(x1)))))))))))))))))) [1]
   1'(c_2(c_2(c_3(c_2(c_1(c_3(c_0(c_3(c_1(c_3(c_3(c_1(c_3(c_0(c_3(c_3(c_3(x1)))))))))))))))))) -> 1'(3'(3'(1'(1'(2'(0'(3'(3'(2'(3'(1'(3'(2'(0'(3'(3'(3'(x1)))))))))))))))))) [1]
   0'(c_3(c_0(c_3(c_2(c_2(c_0(c_3(c_3(c_1(c_0(c_0(c_3(c_0(c_3(c_0(c_1(c_0(x1)))))))))))))))))) -> 0'(3'(0'(0'(3'(3'(3'(2'(1'(3'(2'(0'(0'(1'(3'(0'(0'(0'(x1)))))))))))))))))) [1]
   3'(c_3(c_0(c_2(c_0(c_2(c_0(c_3(c_3(c_3(c_1(c_0(c_2(c_2(c_2(c_3(c_3(c_0(x1)))))))))))))))))) -> 3'(2'(2'(1'(0'(3'(2'(0'(0'(2'(3'(3'(2'(3'(3'(0'(0'(3'(x1)))))))))))))))))) [1]
   1'(c_2(c_1(c_2(c_3(c_0(c_3(c_0(c_2(c_2(c_0(c_2(c_3(c_2(c_0(c_1(c_1(c_2(x1)))))))))))))))))) -> 1'(0'(1'(3'(2'(2'(0'(2'(1'(2'(1'(3'(2'(0'(2'(3'(0'(2'(x1)))))))))))))))))) [1]
   1'(c_2(c_2(c_3(c_3(c_0(c_1(c_2(c_1(c_0(c_3(c_1(c_2(c_3(c_1(c_1(c_2(c_2(x1)))))))))))))))))) -> 1'(3'(3'(2'(3'(3'(1'(2'(2'(0'(1'(2'(2'(2'(1'(1'(1'(0'(x1)))))))))))))))))) [1]
   1'(c_3(c_3(c_0(c_3(c_1(c_0(c_1(c_3(c_1(c_2(c_2(c_0(c_3(c_1(c_1(c_0(c_0(x1)))))))))))))))))) -> 1'(3'(2'(0'(3'(0'(0'(0'(3'(2'(1'(3'(1'(1'(1'(1'(3'(0'(x1)))))))))))))))))) [1]
   0'(c_0(c_0(c_3(c_0(c_3(c_0(c_1(c_2(c_1(c_0(c_0(c_0(c_1(c_2(c_3(c_3(c_3(x1)))))))))))))))))) -> 0'(0'(0'(2'(3'(0'(0'(0'(0'(1'(1'(3'(1'(0'(2'(3'(3'(3'(x1)))))))))))))))))) [1]
   1'(c_1(c_2(c_1(c_3(c_0(c_2(c_1(c_0(c_0(c_3(c_0(c_1(c_2(c_2(c_0(c_3(c_3(x1)))))))))))))))))) -> 1'(0'(3'(2'(1'(0'(3'(3'(1'(0'(2'(2'(0'(1'(0'(2'(1'(3'(x1)))))))))))))))))) [1]
   2'(c_3(c_1(c_1(c_3(c_1(c_0(c_2(c_3(c_0(c_0(c_0(c_2(c_3(c_3(c_2(c_3(c_1(x1)))))))))))))))))) -> 2'(3'(3'(2'(0'(2'(1'(0'(3'(3'(0'(3'(1'(0'(1'(2'(3'(1'(x1)))))))))))))))))) [1]
   3'(c_0(c_1(c_0(c_3(c_1(c_2(c_2(c_0(c_1(c_1(c_1(c_3(c_3(c_0(c_2(c_3(c_0(x1)))))))))))))))))) -> 0'(3'(3'(2'(1'(0'(0'(2'(3'(3'(1'(1'(0'(1'(1'(3'(2'(0'(x1)))))))))))))))))) [1]
   0'(c_0(c_3(c_0(c_3(c_3(c_3(c_1(c_1(c_1(c_3(c_1(c_1(c_2(c_1(c_2(c_3(c_0(x1)))))))))))))))))) -> 0'(3'(3'(1'(2'(1'(3'(0'(3'(3'(2'(0'(1'(1'(0'(1'(1'(3'(x1)))))))))))))))))) [1]
   2'(c_2(c_3(c_1(c_1(c_2(c_2(c_0(c_1(c_0(c_1(c_0(c_1(c_0(c_1(c_3(c_1(c_0(x1)))))))))))))))))) -> 2'(0'(1'(0'(1'(1'(0'(3'(2'(1'(1'(0'(2'(2'(3'(1'(1'(0'(x1)))))))))))))))))) [1]
   0'(c_0(c_1(c_0(c_1(c_1(c_1(c_0(c_2(c_2(c_3(c_3(c_1(c_3(c_0(c_2(c_1(c_0(x1)))))))))))))))))) -> 0'(0'(1'(1'(1'(3'(3'(3'(2'(1'(1'(0'(0'(1'(2'(0'(2'(0'(x1)))))))))))))))))) [1]
   1'(c_2(c_1(c_0(c_1(c_3(c_0(c_3(c_3(c_1(c_3(c_1(c_2(c_2(c_3(c_0(c_2(c_0(x1)))))))))))))))))) -> 1'(1'(3'(3'(2'(0'(0'(3'(2'(1'(2'(3'(3'(2'(0'(1'(1'(0'(x1)))))))))))))))))) [1]
   2'(c_2(c_3(c_1(c_2(c_2(c_2(c_1(c_2(c_0(c_1(c_3(c_2(c_2(c_3(c_3(c_0(c_0(x1)))))))))))))))))) -> 2'(1'(2'(2'(3'(3'(2'(2'(0'(1'(0'(2'(2'(3'(1'(0'(2'(3'(x1)))))))))))))))))) [1]
   3'(c_1(c_2(c_0(c_1(c_2(c_0(c_3(c_1(c_2(c_1(c_0(c_0(c_2(c_0(c_3(c_0(c_2(x1)))))))))))))))))) -> 3'(1'(0'(2'(2'(1'(3'(0'(0'(2'(0'(3'(2'(1'(1'(0'(2'(0'(x1)))))))))))))))))) [1]
   1'(c_0(c_3(c_0(c_2(c_3(c_0(c_3(c_1(c_3(c_1(c_1(c_2(c_0(c_3(c_0(c_3(c_0(x1)))))))))))))))))) -> 1'(0'(1'(0'(2'(3'(0'(3'(0'(3'(0'(3'(3'(1'(0'(2'(1'(3'(x1)))))))))))))))))) [1]
   0'(c_0(c_0(c_0(c_3(c_0(c_3(c_1(c_3(c_1(c_2(c_2(c_1(c_3(c_1(c_0(c_0(c_2(x1)))))))))))))))))) -> 0'(0'(3'(3'(2'(1'(3'(0'(0'(1'(1'(2'(0'(0'(1'(0'(2'(3'(x1)))))))))))))))))) [1]
   3'(c_1(c_3(c_1(c_1(c_3(c_0(c_2(c_0(c_0(c_3(c_0(c_2(c_3(c_1(c_2(c_2(c_2(x1)))))))))))))))))) -> 3'(1'(3'(1'(0'(3'(3'(2'(1'(2'(1'(2'(0'(2'(3'(2'(0'(0'(x1)))))))))))))))))) [1]
   3'(c_0(c_1(c_2(c_2(c_3(c_0(c_1(c_2(c_1(c_3(c_1(c_3(c_3(c_3(c_1(c_1(c_3(x1)))))))))))))))))) -> 0'(2'(1'(3'(3'(3'(2'(1'(1'(0'(1'(3'(3'(2'(1'(1'(3'(3'(x1)))))))))))))))))) [1]
   2'(c_0(c_0(c_3(c_0(c_3(c_1(c_1(c_2(c_2(c_2(c_2(c_3(c_2(c_0(c_0(c_3(c_0(x1)))))))))))))))))) -> 2'(0'(3'(0'(1'(3'(2'(2'(3'(0'(1'(3'(2'(2'(0'(2'(0'(0'(x1)))))))))))))))))) [1]
   0'(c_0(c_1(c_2(c_0(c_1(c_0(c_1(c_1(c_0(c_1(c_2(c_2(c_3(c_3(c_1(c_2(c_2(x1)))))))))))))))))) -> 0'(2'(0'(1'(2'(3'(1'(1'(0'(0'(2'(3'(2'(1'(1'(1'(0'(2'(x1)))))))))))))))))) [1]
   0'(c_2(c_2(c_3(c_2(c_3(c_2(c_2(c_2(c_2(c_2(c_3(c_3(c_0(c_0(c_0(c_0(c_3(x1)))))))))))))))))) -> 0'(2'(0'(3'(2'(2'(0'(3'(3'(3'(2'(2'(2'(0'(2'(0'(2'(3'(x1)))))))))))))))))) [1]
   2'(c_0(c_0(c_0(c_0(c_3(c_1(c_2(c_2(c_0(c_3(c_0(c_2(c_0(c_3(c_1(c_3(c_2(x1)))))))))))))))))) -> 2'(0'(1'(0'(2'(3'(2'(0'(3'(3'(2'(3'(0'(2'(1'(0'(0'(0'(x1)))))))))))))))))) [1]
   3'(c_0(c_2(c_0(c_3(c_1(c_1(c_3(c_2(c_1(c_3(c_0(c_2(c_0(c_2(c_1(c_1(c_3(x1)))))))))))))))))) -> 1'(3'(3'(2'(0'(0'(0'(1'(3'(3'(2'(0'(1'(1'(2'(1'(2'(3'(x1)))))))))))))))))) [1]
   3'(c_3(c_0(c_3(c_0(c_0(c_2(c_3(c_0(c_2(c_3(c_3(c_1(c_2(c_2(c_2(c_2(c_0(x1)))))))))))))))))) -> 3'(3'(0'(0'(3'(2'(3'(2'(0'(0'(0'(2'(3'(2'(1'(2'(3'(2'(x1)))))))))))))))))) [1]
   2'(c_3(c_0(c_0(c_0(c_2(c_0(c_0(c_1(c_3(c_3(c_1(c_2(c_2(c_2(c_2(c_2(c_2(x1)))))))))))))))))) -> 2'(1'(2'(2'(3'(0'(0'(3'(0'(3'(2'(0'(0'(2'(2'(1'(2'(2'(x1)))))))))))))))))) [1]
   2'(c_0(c_0(c_3(c_1(c_2(c_1(c_3(c_0(c_2(c_2(c_2(c_1(c_2(c_2(c_2(c_3(c_1(x1)))))))))))))))))) -> 2'(1'(0'(3'(2'(2'(1'(2'(3'(2'(2'(0'(3'(2'(2'(0'(1'(1'(x1)))))))))))))))))) [1]
   2'(c_1(c_2(c_0(c_2(c_1(c_3(c_0(c_1(c_2(c_1(c_0(c_2(c_1(c_3(c_1(c_2(c_0(x1)))))))))))))))))) -> 2'(1'(2'(3'(1'(0'(1'(0'(0'(2'(1'(1'(3'(2'(0'(2'(1'(2'(x1)))))))))))))))))) [1]
   3'(c_3(c_3(c_3(c_3(c_0(c_3(c_1(c_1(c_3(c_2(c_1(c_1(c_3(c_2(c_2(c_0(c_2(x1)))))))))))))))))) -> 3'(3'(1'(0'(1'(2'(3'(2'(0'(1'(1'(3'(3'(3'(3'(2'(3'(2'(x1)))))))))))))))))) [1]
   3'(c_2(c_2(c_3(c_0(c_0(c_3(c_0(c_0(c_2(c_3(c_0(c_1(c_1(c_1(c_1(c_3(c_0(x1)))))))))))))))))) -> 3'(2'(0'(3'(2'(3'(0'(1'(0'(1'(1'(0'(3'(1'(3'(0'(2'(0'(x1)))))))))))))))))) [1]
   0'(c_0(c_2(c_3(c_3(c_3(c_0(c_0(c_1(c_1(c_2(c_2(c_0(c_3(c_2(c_3(c_3(c_0(x1)))))))))))))))))) -> 0'(3'(0'(2'(3'(0'(1'(3'(3'(2'(0'(0'(3'(3'(2'(1'(2'(0'(x1)))))))))))))))))) [1]
   0'(c_1(c_3(c_0(c_1(c_0(c_1(c_1(c_2(c_2(c_2(c_3(c_3(c_0(c_3(c_0(c_0(c_0(x1)))))))))))))))))) -> 0'(2'(1'(0'(0'(3'(2'(0'(0'(3'(3'(3'(1'(1'(0'(1'(2'(0'(x1)))))))))))))))))) [1]
   3'(c_1(c_3(c_1(c_1(c_3(c_3(c_3(c_2(c_1(c_2(c_3(c_0(c_2(c_1(c_2(c_3(c_0(x1)))))))))))))))))) -> 3'(3'(3'(2'(0'(1'(3'(2'(0'(1'(3'(3'(1'(2'(1'(1'(2'(3'(x1)))))))))))))))))) [1]
   0'(c_1(c_2(c_3(c_0(c_2(c_1(c_2(c_3(c_0(c_0(c_3(c_0(c_1(c_0(c_1(c_3(c_0(x1)))))))))))))))))) -> 0'(2'(0'(0'(0'(2'(3'(3'(1'(1'(3'(2'(0'(3'(0'(0'(1'(1'(x1)))))))))))))))))) [1]
   0'(c_0(c_3(c_0(c_2(c_0(c_1(c_1(c_3(c_1(c_0(c_2(c_0(c_0(c_0(c_2(c_1(c_1(x1)))))))))))))))))) -> 0'(3'(1'(0'(3'(2'(0'(1'(0'(1'(0'(0'(2'(0'(1'(2'(0'(1'(x1)))))))))))))))))) [1]
   1'(c_2(c_3(c_1(c_3(c_0(c_1(c_1(c_3(c_1(c_3(c_1(c_2(c_0(c_3(c_2(c_3(c_0(x1)))))))))))))))))) -> 1'(1'(3'(2'(1'(3'(3'(0'(2'(0'(3'(3'(1'(1'(3'(2'(0'(1'(x1)))))))))))))))))) [1]
   2'(c_3(c_0(c_3(c_1(c_1(c_2(c_3(c_1(c_3(c_2(c_0(c_1(c_2(c_2(c_1(c_3(c_0(x1)))))))))))))))))) -> 2'(1'(1'(0'(1'(2'(1'(3'(3'(3'(2'(2'(0'(2'(1'(3'(3'(0'(x1)))))))))))))))))) [1]
   1'(c_1(c_2(c_3(c_3(c_1(c_0(c_0(c_3(c_1(c_3(c_3(c_3(c_0(c_0(c_1(c_3(c_1(x1)))))))))))))))))) -> 1'(3'(0'(2'(3'(3'(3'(1'(1'(0'(3'(3'(3'(0'(1'(1'(0'(1'(x1)))))))))))))))))) [1]
   3'(c_0(c_2(c_2(c_0(c_0(c_1(c_2(c_3(c_0(c_0(c_1(c_1(c_2(c_0(c_1(c_2(c_2(x1)))))))))))))))))) -> 2'(3'(0'(2'(3'(1'(1'(0'(2'(0'(2'(1'(1'(0'(0'(2'(0'(2'(x1)))))))))))))))))) [1]
   1'(c_3(c_1(c_2(c_0(c_1(c_2(c_0(c_0(c_1(c_0(c_0(c_2(c_3(c_0(c_1(c_1(c_2(x1)))))))))))))))))) -> 1'(3'(2'(2'(0'(2'(1'(0'(1'(0'(0'(1'(2'(0'(1'(1'(3'(0'(x1)))))))))))))))))) [1]
   0'(c_0(c_3(c_3(c_1(c_2(c_3(c_0(c_2(c_3(c_3(c_3(c_0(c_0(c_3(c_2(c_2(c_3(x1)))))))))))))))))) -> 3'(0'(3'(3'(2'(0'(2'(3'(2'(0'(3'(1'(3'(3'(2'(0'(0'(3'(x1)))))))))))))))))) [1]
   0'(c_0(c_2(c_2(c_1(c_1(c_3(c_0(c_2(c_2(c_2(c_2(c_0(c_3(c_3(c_0(c_1(c_0(x1)))))))))))))))))) -> 0'(2'(2'(1'(1'(0'(2'(3'(0'(0'(2'(0'(2'(1'(3'(2'(3'(0'(x1)))))))))))))))))) [1]
   encArg(cons_0(x_1)) -> 0'(encArg(x_1)) [0]
   encArg(cons_1(x_1)) -> 1'(encArg(x_1)) [0]
   encArg(cons_2(x_1)) -> 2'(encArg(x_1)) [0]
   encArg(cons_3(x_1)) -> 3'(encArg(x_1)) [0]
   encode_0(x_1) -> 0'(encArg(x_1)) [0]
   encode_3(x_1) -> 3'(encArg(x_1)) [0]
   encode_1(x_1) -> 1'(encArg(x_1)) [0]
   encode_2(x_1) -> 2'(encArg(x_1)) [0]
   0'(x0) -> c_0(x0) [0]
   1'(x0) -> c_1(x0) [0]
   2'(x0) -> c_2(x0) [0]
   3'(x0) -> c_3(x0) [0]
   encArg(v0) -> const [0]
   encode_0(v0) -> const [0]
   encode_3(v0) -> const [0]
   encode_1(v0) -> const [0]
   encode_2(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_0:c_2:c_1:c_3:const -> c_0:c_2:c_1:c_3:const
c_0 :: c_0:c_2:c_1:c_3:const -> c_0:c_2:c_1:c_3:const
c_1 :: c_0:c_2:c_1:c_3:const -> c_0:c_2:c_1:c_3:const
c_2 :: c_0:c_2:c_1:c_3:const -> c_0:c_2:c_1:c_3:const
1' :: c_0:c_2:c_1:c_3:const -> c_0:c_2:c_1:c_3:const
2' :: c_0:c_2:c_1:c_3:const -> c_0:c_2:c_1:c_3:const
c_3 :: c_0:c_2:c_1:c_3:const -> c_0:c_2:c_1:c_3:const
3' :: c_0:c_2:c_1:c_3:const -> c_0:c_2:c_1:c_3:const
encArg :: cons_0:cons_1:cons_2:cons_3 -> c_0:c_2:c_1:c_3: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_0:c_2:c_1:c_3:const
encode_3 :: cons_0:cons_1:cons_2:cons_3 -> c_0:c_2:c_1:c_3:const
encode_1 :: cons_0:cons_1:cons_2:cons_3 -> c_0:c_2:c_1:c_3:const
encode_2 :: cons_0:cons_1:cons_2:cons_3 -> c_0:c_2:c_1:c_3:const
const :: c_0:c_2:c_1:c_3:const
const1 :: cons_0:cons_1:cons_2:cons_3

Rewrite Strategy: INNERMOST
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(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_0(c_0(c_1(c_0(c_0(c_0(c_2(c_1(c_1(c_2(c_0(c_1(c_0(c_1(c_2(c_0(c_0(x1)))))))))))))))))) -> 0'(1'(0'(1'(1'(0'(0'(2'(1'(1'(0'(0'(2'(0'(2'(0'(0'(0'(x1)))))))))))))))))) [1]
   2'(c_3(c_1(c_1(c_2(c_0(c_2(c_0(c_3(c_2(c_2(c_3(c_1(c_2(c_2(c_3(c_0(c_0(c_2(c_1(c_1(c_1(c_3(c_1(c_1(c_2(c_2(c_1(c_2(c_1(c_1(c_2(c_3(c_0(c_1(x122))))))))))))))))))))))))))))))))))) -> 2'(2'(2'(2'(1'(3'(0'(2'(0'(3'(2'(1'(0'(1'(0'(3'(2'(3'(2'(1'(1'(1'(1'(1'(0'(3'(2'(2'(2'(1'(2'(3'(1'(1'(1'(x122))))))))))))))))))))))))))))))))))) [2]
   2'(c_3(c_1(c_1(c_2(c_0(c_2(c_0(c_3(c_2(c_2(c_3(c_1(c_2(c_2(c_3(c_0(c_0(c_1(c_2(c_1(c_0(c_3(c_1(c_1(c_2(c_2(c_3(c_0(c_2(c_2(c_3(c_0(c_2(c_0(x123))))))))))))))))))))))))))))))))))) -> 2'(2'(2'(2'(1'(3'(0'(2'(0'(3'(2'(1'(0'(1'(0'(3'(2'(3'(1'(1'(1'(2'(2'(2'(0'(3'(2'(0'(3'(2'(3'(2'(0'(0'(1'(x123))))))))))))))))))))))))))))))))))) [2]
   2'(c_3(c_1(c_1(c_2(c_0(c_2(c_0(c_3(c_2(c_2(c_3(c_1(c_2(c_2(c_3(c_0(c_0(c_3(c_1(c_1(c_3(c_1(c_0(c_1(c_3(c_1(c_2(c_3(c_3(c_3(c_1(c_1(c_3(c_0(x124))))))))))))))))))))))))))))))))))) -> 2'(2'(2'(2'(1'(3'(0'(2'(0'(3'(2'(1'(0'(1'(0'(3'(2'(3'(3'(1'(0'(3'(3'(1'(3'(3'(3'(3'(1'(1'(1'(1'(2'(0'(1'(x124))))))))))))))))))))))))))))))))))) [2]
   2'(c_3(c_1(c_1(c_2(c_0(c_2(c_0(c_3(c_2(c_2(c_3(c_1(c_2(c_2(c_3(c_0(c_0(c_1(c_3(c_0(c_3(c_0(c_3(c_2(c_2(c_3(c_0(c_2(c_3(c_1(c_2(c_1(c_0(c_2(x125))))))))))))))))))))))))))))))))))) -> 2'(2'(2'(2'(1'(3'(0'(2'(0'(3'(2'(1'(0'(1'(0'(3'(2'(3'(0'(2'(2'(3'(2'(0'(1'(3'(1'(0'(2'(1'(3'(3'(2'(0'(3'(x125))))))))))))))))))))))))))))))))))) [2]
   2'(c_3(c_1(c_1(c_2(c_0(c_2(c_0(c_3(c_2(c_2(c_3(c_1(c_2(c_2(c_3(c_0(c_0(c_0(c_2(c_0(c_3(c_3(c_0(c_0(c_2(c_2(c_0(c_1(c_0(c_3(c_3(c_1(c_3(c_1(x126))))))))))))))))))))))))))))))))))) -> 2'(2'(2'(2'(1'(3'(0'(2'(0'(3'(2'(1'(0'(1'(0'(3'(2'(3'(0'(2'(1'(0'(1'(3'(3'(2'(0'(0'(3'(0'(3'(2'(3'(1'(0'(x126))))))))))))))))))))))))))))))))))) [2]
   2'(c_3(c_1(c_1(c_2(c_0(c_2(c_0(c_3(c_2(c_2(c_3(c_1(c_2(c_2(c_3(c_0(c_0(c_3(c_0(c_2(c_1(c_2(c_2(c_0(c_0(c_1(c_3(c_2(c_0(c_0(c_1(c_2(c_3(c_0(x127))))))))))))))))))))))))))))))))))) -> 2'(2'(2'(2'(1'(3'(0'(2'(0'(3'(2'(1'(0'(1'(0'(3'(2'(0'(0'(1'(1'(0'(2'(2'(3'(3'(2'(1'(0'(0'(2'(3'(3'(2'(0'(x127))))))))))))))))))))))))))))))))))) [2]
   2'(c_3(c_1(c_1(c_2(c_0(c_2(c_0(c_3(c_2(c_2(c_3(c_1(c_2(c_2(c_3(c_0(c_0(c_3(c_0(c_2(c_0(c_2(c_0(c_3(c_3(c_3(c_1(c_0(c_2(c_2(c_2(c_3(c_3(c_0(x128))))))))))))))))))))))))))))))))))) -> 2'(2'(2'(2'(1'(3'(0'(2'(0'(3'(2'(1'(0'(1'(0'(3'(2'(3'(2'(2'(1'(0'(3'(2'(0'(0'(2'(3'(3'(2'(3'(3'(0'(0'(3'(x128))))))))))))))))))))))))))))))))))) [2]
   2'(c_3(c_1(c_1(c_2(c_0(c_2(c_0(c_3(c_2(c_2(c_3(c_1(c_2(c_2(c_3(c_0(c_0(c_0(c_1(c_0(c_3(c_1(c_2(c_2(c_0(c_1(c_1(c_1(c_3(c_3(c_0(c_2(c_3(c_0(x129))))))))))))))))))))))))))))))))))) -> 2'(2'(2'(2'(1'(3'(0'(2'(0'(3'(2'(1'(0'(1'(0'(3'(2'(0'(3'(3'(2'(1'(0'(0'(2'(3'(3'(1'(1'(0'(1'(1'(3'(2'(0'(x129))))))))))))))))))))))))))))))))))) [2]
   2'(c_3(c_1(c_1(c_2(c_0(c_2(c_0(c_3(c_2(c_2(c_3(c_1(c_2(c_2(c_3(c_0(c_0(c_1(c_2(c_0(c_1(c_2(c_0(c_3(c_1(c_2(c_1(c_0(c_0(c_2(c_0(c_3(c_0(c_2(x130))))))))))))))))))))))))))))))))))) -> 2'(2'(2'(2'(1'(3'(0'(2'(0'(3'(2'(1'(0'(1'(0'(3'(2'(3'(1'(0'(2'(2'(1'(3'(0'(0'(2'(0'(3'(2'(1'(1'(0'(2'(0'(x130))))))))))))))))))))))))))))))))))) [2]
   2'(c_3(c_1(c_1(c_2(c_0(c_2(c_0(c_3(c_2(c_2(c_3(c_1(c_2(c_2(c_3(c_0(c_0(c_1(c_3(c_1(c_1(c_3(c_0(c_2(c_0(c_0(c_3(c_0(c_2(c_3(c_1(c_2(c_2(c_2(x131))))))))))))))))))))))))))))))))))) -> 2'(2'(2'(2'(1'(3'(0'(2'(0'(3'(2'(1'(0'(1'(0'(3'(2'(3'(1'(3'(1'(0'(3'(3'(2'(1'(2'(1'(2'(0'(2'(3'(2'(0'(0'(x131))))))))))))))))))))))))))))))))))) [2]
   2'(c_3(c_1(c_1(c_2(c_0(c_2(c_0(c_3(c_2(c_2(c_3(c_1(c_2(c_2(c_3(c_0(c_0(c_0(c_1(c_2(c_2(c_3(c_0(c_1(c_2(c_1(c_3(c_1(c_3(c_3(c_3(c_1(c_1(c_3(x132))))))))))))))))))))))))))))))))))) -> 2'(2'(2'(2'(1'(3'(0'(2'(0'(3'(2'(1'(0'(1'(0'(3'(2'(0'(2'(1'(3'(3'(3'(2'(1'(1'(0'(1'(3'(3'(2'(1'(1'(3'(3'(x132))))))))))))))))))))))))))))))))))) [2]
   2'(c_3(c_1(c_1(c_2(c_0(c_2(c_0(c_3(c_2(c_2(c_3(c_1(c_2(c_2(c_3(c_0(c_0(c_0(c_2(c_0(c_3(c_1(c_1(c_3(c_2(c_1(c_3(c_0(c_2(c_0(c_2(c_1(c_1(c_3(x133))))))))))))))))))))))))))))))))))) -> 2'(2'(2'(2'(1'(3'(0'(2'(0'(3'(2'(1'(0'(1'(0'(3'(2'(1'(3'(3'(2'(0'(0'(0'(1'(3'(3'(2'(0'(1'(1'(2'(1'(2'(3'(x133))))))))))))))))))))))))))))))))))) [2]
   2'(c_3(c_1(c_1(c_2(c_0(c_2(c_0(c_3(c_2(c_2(c_3(c_1(c_2(c_2(c_3(c_0(c_0(c_3(c_0(c_3(c_0(c_0(c_2(c_3(c_0(c_2(c_3(c_3(c_1(c_2(c_2(c_2(c_2(c_0(x134))))))))))))))))))))))))))))))))))) -> 2'(2'(2'(2'(1'(3'(0'(2'(0'(3'(2'(1'(0'(1'(0'(3'(2'(3'(3'(0'(0'(3'(2'(3'(2'(0'(0'(0'(2'(3'(2'(1'(2'(3'(2'(x134))))))))))))))))))))))))))))))))))) [2]
   2'(c_3(c_1(c_1(c_2(c_0(c_2(c_0(c_3(c_2(c_2(c_3(c_1(c_2(c_2(c_3(c_0(c_0(c_3(c_3(c_3(c_3(c_0(c_3(c_1(c_1(c_3(c_2(c_1(c_1(c_3(c_2(c_2(c_0(c_2(x135))))))))))))))))))))))))))))))))))) -> 2'(2'(2'(2'(1'(3'(0'(2'(0'(3'(2'(1'(0'(1'(0'(3'(2'(3'(3'(1'(0'(1'(2'(3'(2'(0'(1'(1'(3'(3'(3'(3'(2'(3'(2'(x135))))))))))))))))))))))))))))))))))) [2]
   2'(c_3(c_1(c_1(c_2(c_0(c_2(c_0(c_3(c_2(c_2(c_3(c_1(c_2(c_2(c_3(c_0(c_0(c_2(c_2(c_3(c_0(c_0(c_3(c_0(c_0(c_2(c_3(c_0(c_1(c_1(c_1(c_1(c_3(c_0(x136))))))))))))))))))))))))))))))))))) -> 2'(2'(2'(2'(1'(3'(0'(2'(0'(3'(2'(1'(0'(1'(0'(3'(2'(3'(2'(0'(3'(2'(3'(0'(1'(0'(1'(1'(0'(3'(1'(3'(0'(2'(0'(x136))))))))))))))))))))))))))))))))))) [2]
   2'(c_3(c_1(c_1(c_2(c_0(c_2(c_0(c_3(c_2(c_2(c_3(c_1(c_2(c_2(c_3(c_0(c_0(c_1(c_3(c_1(c_1(c_3(c_3(c_3(c_2(c_1(c_2(c_3(c_0(c_2(c_1(c_2(c_3(c_0(x137))))))))))))))))))))))))))))))))))) -> 2'(2'(2'(2'(1'(3'(0'(2'(0'(3'(2'(1'(0'(1'(0'(3'(2'(3'(3'(3'(2'(0'(1'(3'(2'(0'(1'(3'(3'(1'(2'(1'(1'(2'(3'(x137))))))))))))))))))))))))))))))))))) [2]
   2'(c_3(c_1(c_1(c_2(c_0(c_2(c_0(c_3(c_2(c_2(c_3(c_1(c_2(c_2(c_3(c_0(c_0(c_0(c_2(c_2(c_0(c_0(c_1(c_2(c_3(c_0(c_0(c_1(c_1(c_2(c_0(c_1(c_2(c_2(x138))))))))))))))))))))))))))))))))))) -> 2'(2'(2'(2'(1'(3'(0'(2'(0'(3'(2'(1'(0'(1'(0'(3'(2'(2'(3'(0'(2'(3'(1'(1'(0'(2'(0'(2'(1'(1'(0'(0'(2'(0'(2'(x138))))))))))))))))))))))))))))))))))) [2]
   2'(c_3(c_1(c_1(c_2(c_0(c_2(c_0(c_3(c_2(c_2(c_3(c_1(c_2(c_2(c_3(c_0(c_0(x1)))))))))))))))))) -> 2'(2'(2'(2'(1'(3'(0'(2'(0'(3'(2'(1'(0'(1'(0'(3'(2'(c_3(x1)))))))))))))))))) [1]
   2'(c_3(c_1(c_1(c_2(c_0(c_2(c_0(c_3(c_2(c_2(c_3(c_1(c_2(c_2(c_3(c_0(c_0(x1)))))))))))))))))) -> 2'(2'(2'(2'(1'(3'(0'(2'(0'(3'(2'(1'(0'(1'(0'(3'(2'(const))))))))))))))))) [1]
   3'(c_2(c_1(c_1(c_1(c_3(c_1(c_1(c_2(c_2(c_1(c_2(c_1(c_1(c_2(c_3(c_0(c_1(x1)))))))))))))))))) -> 3'(2'(1'(1'(1'(1'(1'(0'(3'(2'(2'(2'(1'(2'(3'(1'(1'(1'(x1)))))))))))))))))) [1]
   0'(c_0(c_1(c_3(c_2(c_1(c_0(c_0(c_3(c_2(c_3(c_1(c_3(c_0(c_0(c_2(c_0(c_0(c_2(c_1(c_1(c_1(c_3(c_1(c_1(c_2(c_2(c_1(c_2(c_1(c_1(c_2(c_3(c_0(c_1(x160))))))))))))))))))))))))))))))))))) -> 0'(0'(2'(3'(2'(0'(1'(0'(2'(1'(0'(1'(0'(3'(0'(3'(0'(3'(2'(1'(1'(1'(1'(1'(0'(3'(2'(2'(2'(1'(2'(3'(1'(1'(1'(x160))))))))))))))))))))))))))))))))))) [2]
   0'(c_0(c_1(c_3(c_2(c_1(c_0(c_0(c_3(c_2(c_3(c_1(c_3(c_0(c_0(c_2(c_0(c_0(c_1(c_2(c_1(c_0(c_3(c_1(c_1(c_2(c_2(c_3(c_0(c_2(c_2(c_3(c_0(c_2(c_0(x161))))))))))))))))))))))))))))))))))) -> 0'(0'(2'(3'(2'(0'(1'(0'(2'(1'(0'(1'(0'(3'(0'(3'(0'(3'(1'(1'(1'(2'(2'(2'(0'(3'(2'(0'(3'(2'(3'(2'(0'(0'(1'(x161))))))))))))))))))))))))))))))))))) [2]
   0'(c_0(c_1(c_3(c_2(c_1(c_0(c_0(c_3(c_2(c_3(c_1(c_3(c_0(c_0(c_2(c_0(c_0(c_3(c_1(c_1(c_3(c_1(c_0(c_1(c_3(c_1(c_2(c_3(c_3(c_3(c_1(c_1(c_3(c_0(x162))))))))))))))))))))))))))))))))))) -> 0'(0'(2'(3'(2'(0'(1'(0'(2'(1'(0'(1'(0'(3'(0'(3'(0'(3'(3'(1'(0'(3'(3'(1'(3'(3'(3'(3'(1'(1'(1'(1'(2'(0'(1'(x162))))))))))))))))))))))))))))))))))) [2]
   0'(c_0(c_1(c_3(c_2(c_1(c_0(c_0(c_3(c_2(c_3(c_1(c_3(c_0(c_0(c_2(c_0(c_0(c_1(c_3(c_0(c_3(c_0(c_3(c_2(c_2(c_3(c_0(c_2(c_3(c_1(c_2(c_1(c_0(c_2(x163))))))))))))))))))))))))))))))))))) -> 0'(0'(2'(3'(2'(0'(1'(0'(2'(1'(0'(1'(0'(3'(0'(3'(0'(3'(0'(2'(2'(3'(2'(0'(1'(3'(1'(0'(2'(1'(3'(3'(2'(0'(3'(x163))))))))))))))))))))))))))))))))))) [2]
   0'(c_0(c_1(c_3(c_2(c_1(c_0(c_0(c_3(c_2(c_3(c_1(c_3(c_0(c_0(c_2(c_0(c_0(c_0(c_2(c_0(c_3(c_3(c_0(c_0(c_2(c_2(c_0(c_1(c_0(c_3(c_3(c_1(c_3(c_1(x164))))))))))))))))))))))))))))))))))) -> 0'(0'(2'(3'(2'(0'(1'(0'(2'(1'(0'(1'(0'(3'(0'(3'(0'(3'(0'(2'(1'(0'(1'(3'(3'(2'(0'(0'(3'(0'(3'(2'(3'(1'(0'(x164))))))))))))))))))))))))))))))))))) [2]
   0'(c_0(c_1(c_3(c_2(c_1(c_0(c_0(c_3(c_2(c_3(c_1(c_3(c_0(c_0(c_2(c_0(c_0(c_3(c_0(c_2(c_1(c_2(c_2(c_0(c_0(c_1(c_3(c_2(c_0(c_0(c_1(c_2(c_3(c_0(x165))))))))))))))))))))))))))))))))))) -> 0'(0'(2'(3'(2'(0'(1'(0'(2'(1'(0'(1'(0'(3'(0'(3'(0'(0'(0'(1'(1'(0'(2'(2'(3'(3'(2'(1'(0'(0'(2'(3'(3'(2'(0'(x165))))))))))))))))))))))))))))))))))) [2]
   0'(c_0(c_1(c_3(c_2(c_1(c_0(c_0(c_3(c_2(c_3(c_1(c_3(c_0(c_0(c_2(c_0(c_0(c_3(c_0(c_2(c_0(c_2(c_0(c_3(c_3(c_3(c_1(c_0(c_2(c_2(c_2(c_3(c_3(c_0(x166))))))))))))))))))))))))))))))))))) -> 0'(0'(2'(3'(2'(0'(1'(0'(2'(1'(0'(1'(0'(3'(0'(3'(0'(3'(2'(2'(1'(0'(3'(2'(0'(0'(2'(3'(3'(2'(3'(3'(0'(0'(3'(x166))))))))))))))))))))))))))))))))))) [2]
   0'(c_0(c_1(c_3(c_2(c_1(c_0(c_0(c_3(c_2(c_3(c_1(c_3(c_0(c_0(c_2(c_0(c_0(c_0(c_1(c_0(c_3(c_1(c_2(c_2(c_0(c_1(c_1(c_1(c_3(c_3(c_0(c_2(c_3(c_0(x167))))))))))))))))))))))))))))))))))) -> 0'(0'(2'(3'(2'(0'(1'(0'(2'(1'(0'(1'(0'(3'(0'(3'(0'(0'(3'(3'(2'(1'(0'(0'(2'(3'(3'(1'(1'(0'(1'(1'(3'(2'(0'(x167))))))))))))))))))))))))))))))))))) [2]
   0'(c_0(c_1(c_3(c_2(c_1(c_0(c_0(c_3(c_2(c_3(c_1(c_3(c_0(c_0(c_2(c_0(c_0(c_1(c_2(c_0(c_1(c_2(c_0(c_3(c_1(c_2(c_1(c_0(c_0(c_2(c_0(c_3(c_0(c_2(x168))))))))))))))))))))))))))))))))))) -> 0'(0'(2'(3'(2'(0'(1'(0'(2'(1'(0'(1'(0'(3'(0'(3'(0'(3'(1'(0'(2'(2'(1'(3'(0'(0'(2'(0'(3'(2'(1'(1'(0'(2'(0'(x168))))))))))))))))))))))))))))))))))) [2]
   0'(c_0(c_1(c_3(c_2(c_1(c_0(c_0(c_3(c_2(c_3(c_1(c_3(c_0(c_0(c_2(c_0(c_0(c_1(c_3(c_1(c_1(c_3(c_0(c_2(c_0(c_0(c_3(c_0(c_2(c_3(c_1(c_2(c_2(c_2(x169))))))))))))))))))))))))))))))))))) -> 0'(0'(2'(3'(2'(0'(1'(0'(2'(1'(0'(1'(0'(3'(0'(3'(0'(3'(1'(3'(1'(0'(3'(3'(2'(1'(2'(1'(2'(0'(2'(3'(2'(0'(0'(x169))))))))))))))))))))))))))))))))))) [2]
   0'(c_0(c_1(c_3(c_2(c_1(c_0(c_0(c_3(c_2(c_3(c_1(c_3(c_0(c_0(c_2(c_0(c_0(c_0(c_1(c_2(c_2(c_3(c_0(c_1(c_2(c_1(c_3(c_1(c_3(c_3(c_3(c_1(c_1(c_3(x170))))))))))))))))))))))))))))))))))) -> 0'(0'(2'(3'(2'(0'(1'(0'(2'(1'(0'(1'(0'(3'(0'(3'(0'(0'(2'(1'(3'(3'(3'(2'(1'(1'(0'(1'(3'(3'(2'(1'(1'(3'(3'(x170))))))))))))))))))))))))))))))))))) [2]
   0'(c_0(c_1(c_3(c_2(c_1(c_0(c_0(c_3(c_2(c_3(c_1(c_3(c_0(c_0(c_2(c_0(c_0(c_0(c_2(c_0(c_3(c_1(c_1(c_3(c_2(c_1(c_3(c_0(c_2(c_0(c_2(c_1(c_1(c_3(x171))))))))))))))))))))))))))))))))))) -> 0'(0'(2'(3'(2'(0'(1'(0'(2'(1'(0'(1'(0'(3'(0'(3'(0'(1'(3'(3'(2'(0'(0'(0'(1'(3'(3'(2'(0'(1'(1'(2'(1'(2'(3'(x171))))))))))))))))))))))))))))))))))) [2]
   0'(c_0(c_1(c_3(c_2(c_1(c_0(c_0(c_3(c_2(c_3(c_1(c_3(c_0(c_0(c_2(c_0(c_0(c_3(c_0(c_3(c_0(c_0(c_2(c_3(c_0(c_2(c_3(c_3(c_1(c_2(c_2(c_2(c_2(c_0(x172))))))))))))))))))))))))))))))))))) -> 0'(0'(2'(3'(2'(0'(1'(0'(2'(1'(0'(1'(0'(3'(0'(3'(0'(3'(3'(0'(0'(3'(2'(3'(2'(0'(0'(0'(2'(3'(2'(1'(2'(3'(2'(x172))))))))))))))))))))))))))))))))))) [2]
   0'(c_0(c_1(c_3(c_2(c_1(c_0(c_0(c_3(c_2(c_3(c_1(c_3(c_0(c_0(c_2(c_0(c_0(c_3(c_3(c_3(c_3(c_0(c_3(c_1(c_1(c_3(c_2(c_1(c_1(c_3(c_2(c_2(c_0(c_2(x173))))))))))))))))))))))))))))))))))) -> 0'(0'(2'(3'(2'(0'(1'(0'(2'(1'(0'(1'(0'(3'(0'(3'(0'(3'(3'(1'(0'(1'(2'(3'(2'(0'(1'(1'(3'(3'(3'(3'(2'(3'(2'(x173))))))))))))))))))))))))))))))))))) [2]
   0'(c_0(c_1(c_3(c_2(c_1(c_0(c_0(c_3(c_2(c_3(c_1(c_3(c_0(c_0(c_2(c_0(c_0(c_2(c_2(c_3(c_0(c_0(c_3(c_0(c_0(c_2(c_3(c_0(c_1(c_1(c_1(c_1(c_3(c_0(x174))))))))))))))))))))))))))))))))))) -> 0'(0'(2'(3'(2'(0'(1'(0'(2'(1'(0'(1'(0'(3'(0'(3'(0'(3'(2'(0'(3'(2'(3'(0'(1'(0'(1'(1'(0'(3'(1'(3'(0'(2'(0'(x174))))))))))))))))))))))))))))))))))) [2]
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   1'(c_0(c_3(c_0(c_2(c_3(c_0(c_3(c_1(c_3(c_1(c_1(c_2(c_0(c_3(c_0(c_3(c_0(c_2(c_1(c_1(c_1(c_3(c_1(c_1(c_2(c_2(c_1(c_2(c_1(c_1(c_2(c_3(c_0(c_1(x11082))))))))))))))))))))))))))))))))))) -> 1'(0'(1'(0'(2'(3'(0'(3'(0'(3'(0'(3'(3'(1'(0'(2'(1'(3'(2'(1'(1'(1'(1'(1'(0'(3'(2'(2'(2'(1'(2'(3'(1'(1'(1'(x11082))))))))))))))))))))))))))))))))))) [2]
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   encode_2(cons_2(x_129)) -> 2'(2'(encArg(x_129))) [0]
   encode_2(cons_3(x_130)) -> 2'(3'(encArg(x_130))) [0]
   encode_2(x_1) -> 2'(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_3(v0) -> const [0]
   encode_1(v0) -> const [0]
   encode_2(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_0:c_2:c_1:c_3:const -> c_0:c_2:c_1:c_3:const
c_0 :: c_0:c_2:c_1:c_3:const -> c_0:c_2:c_1:c_3:const
c_1 :: c_0:c_2:c_1:c_3:const -> c_0:c_2:c_1:c_3:const
c_2 :: c_0:c_2:c_1:c_3:const -> c_0:c_2:c_1:c_3:const
1' :: c_0:c_2:c_1:c_3:const -> c_0:c_2:c_1:c_3:const
2' :: c_0:c_2:c_1:c_3:const -> c_0:c_2:c_1:c_3:const
c_3 :: c_0:c_2:c_1:c_3:const -> c_0:c_2:c_1:c_3:const
3' :: c_0:c_2:c_1:c_3:const -> c_0:c_2:c_1:c_3:const
encArg :: cons_0:cons_1:cons_2:cons_3 -> c_0:c_2:c_1:c_3: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_0:c_2:c_1:c_3:const
encode_3 :: cons_0:cons_1:cons_2:cons_3 -> c_0:c_2:c_1:c_3:const
encode_1 :: cons_0:cons_1:cons_2:cons_3 -> c_0:c_2:c_1:c_3:const
encode_2 :: cons_0:cons_1:cons_2:cons_3 -> c_0:c_2:c_1:c_3:const
const :: c_0:c_2:c_1:c_3: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) -{ 2 }-> 3'(0'(3'(3'(2'(0'(2'(3'(2'(0'(3'(1'(3'(3'(2'(0'(0'(3'(3'(3'(2'(0'(1'(3'(2'(0'(1'(3'(3'(1'(2'(1'(1'(2'(3'(x11602))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11602))))))))))))))))))))))))))))))))), x11602 >= 0
   0'(z) -{ 2 }-> 3'(0'(3'(3'(2'(0'(2'(3'(2'(0'(3'(1'(3'(3'(2'(0'(0'(3'(3'(1'(0'(3'(3'(1'(3'(3'(3'(3'(1'(1'(1'(1'(2'(0'(1'(x11589))))))))))))))))))))))))))))))))))) :|: x11589 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11589)))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 3'(0'(3'(3'(2'(0'(2'(3'(2'(0'(3'(1'(3'(3'(2'(0'(0'(3'(3'(1'(0'(1'(2'(3'(2'(0'(1'(1'(3'(3'(3'(3'(2'(3'(2'(x11600))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11600))))))))))))))))))))))))))))))))), x11600 >= 0
   0'(z) -{ 2 }-> 3'(0'(3'(3'(2'(0'(2'(3'(2'(0'(3'(1'(3'(3'(2'(0'(0'(3'(3'(0'(0'(3'(2'(3'(2'(0'(0'(0'(2'(3'(2'(1'(2'(3'(2'(x11599))))))))))))))))))))))))))))))))))) :|: x11599 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11599)))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 3'(0'(3'(3'(2'(0'(2'(3'(2'(0'(3'(1'(3'(3'(2'(0'(0'(3'(2'(2'(1'(0'(3'(2'(0'(0'(2'(3'(3'(2'(3'(3'(0'(0'(3'(x11593))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11593))))))))))))))))))))))))))))))))), x11593 >= 0
   0'(z) -{ 2 }-> 3'(0'(3'(3'(2'(0'(2'(3'(2'(0'(3'(1'(3'(3'(2'(0'(0'(3'(2'(1'(1'(1'(1'(1'(0'(3'(2'(2'(2'(1'(2'(3'(1'(1'(1'(x11587))))))))))))))))))))))))))))))))))) :|: x11587 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11587)))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 3'(0'(3'(3'(2'(0'(2'(3'(2'(0'(3'(1'(3'(3'(2'(0'(0'(3'(2'(0'(3'(2'(3'(0'(1'(0'(1'(1'(0'(3'(1'(3'(0'(2'(0'(x11601))))))))))))))))))))))))))))))))))) :|: x11601 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11601)))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 3'(0'(3'(3'(2'(0'(2'(3'(2'(0'(3'(1'(3'(3'(2'(0'(0'(3'(1'(3'(1'(0'(3'(3'(2'(1'(2'(1'(2'(0'(2'(3'(2'(0'(0'(x11596))))))))))))))))))))))))))))))))))) :|: x11596 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11596)))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 3'(0'(3'(3'(2'(0'(2'(3'(2'(0'(3'(1'(3'(3'(2'(0'(0'(3'(1'(1'(1'(2'(2'(2'(0'(3'(2'(0'(3'(2'(3'(2'(0'(0'(1'(x11588))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11588))))))))))))))))))))))))))))))))), x11588 >= 0
   0'(z) -{ 2 }-> 3'(0'(3'(3'(2'(0'(2'(3'(2'(0'(3'(1'(3'(3'(2'(0'(0'(3'(1'(0'(2'(2'(1'(3'(0'(0'(2'(0'(3'(2'(1'(1'(0'(2'(0'(x11595))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11595))))))))))))))))))))))))))))))))), x11595 >= 0
   0'(z) -{ 2 }-> 3'(0'(3'(3'(2'(0'(2'(3'(2'(0'(3'(1'(3'(3'(2'(0'(0'(3'(0'(2'(2'(3'(2'(0'(1'(3'(1'(0'(2'(1'(3'(3'(2'(0'(3'(x11590))))))))))))))))))))))))))))))))))) :|: x11590 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11590)))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 3'(0'(3'(3'(2'(0'(2'(3'(2'(0'(3'(1'(3'(3'(2'(0'(0'(3'(0'(2'(1'(0'(1'(3'(3'(2'(0'(0'(3'(0'(3'(2'(3'(1'(0'(x11591))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11591))))))))))))))))))))))))))))))))), x11591 >= 0
   0'(z) -{ 2 }-> 3'(0'(3'(3'(2'(0'(2'(3'(2'(0'(3'(1'(3'(3'(2'(0'(0'(2'(3'(0'(2'(3'(1'(1'(0'(2'(0'(2'(1'(1'(0'(0'(2'(0'(2'(x11603))))))))))))))))))))))))))))))))))) :|: x11603 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11603)))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 3'(0'(3'(3'(2'(0'(2'(3'(2'(0'(3'(1'(3'(3'(2'(0'(0'(1'(3'(3'(2'(0'(0'(0'(1'(3'(3'(2'(0'(1'(1'(2'(1'(2'(3'(x11598))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11598))))))))))))))))))))))))))))))))), x11598 >= 0
   0'(z) -{ 2 }-> 3'(0'(3'(3'(2'(0'(2'(3'(2'(0'(3'(1'(3'(3'(2'(0'(0'(0'(3'(3'(2'(1'(0'(0'(2'(3'(3'(1'(1'(0'(1'(1'(3'(2'(0'(x11594))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11594))))))))))))))))))))))))))))))))), x11594 >= 0
   0'(z) -{ 2 }-> 3'(0'(3'(3'(2'(0'(2'(3'(2'(0'(3'(1'(3'(3'(2'(0'(0'(0'(2'(1'(3'(3'(3'(2'(1'(1'(0'(1'(3'(3'(2'(1'(1'(3'(3'(x11597))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11597))))))))))))))))))))))))))))))))), x11597 >= 0
   0'(z) -{ 2 }-> 3'(0'(3'(3'(2'(0'(2'(3'(2'(0'(3'(1'(3'(3'(2'(0'(0'(0'(0'(1'(1'(0'(2'(2'(3'(3'(2'(1'(0'(0'(2'(3'(3'(2'(0'(x11592))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11592))))))))))))))))))))))))))))))))), x11592 >= 0
   0'(z) -{ 1 }-> 3'(0'(3'(3'(2'(0'(2'(3'(2'(0'(3'(1'(3'(3'(2'(0'(0'(0))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   0'(z) -{ 1 }-> 3'(0'(3'(3'(2'(0'(2'(3'(2'(0'(3'(1'(3'(3'(2'(0'(0'(1 + x1))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   0'(z) -{ 1 }-> 1'(0'(3'(1'(0'(3'(3'(3'(3'(2'(3'(2'(3'(2'(0'(2'(1'(1'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   0'(z) -{ 1 }-> 1'(0'(0'(3'(2'(0'(1'(3'(2'(0'(0'(2'(3'(1'(0'(2'(1'(0'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   0'(z) -{ 2 }-> 0'(3'(3'(1'(2'(1'(3'(0'(3'(3'(2'(0'(1'(1'(0'(1'(1'(3'(3'(3'(2'(0'(1'(3'(2'(0'(1'(3'(3'(1'(2'(1'(1'(2'(3'(x1971))))))))))))))))))))))))))))))))))) :|: x1971 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1971)))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 0'(3'(3'(1'(2'(1'(3'(0'(3'(3'(2'(0'(1'(1'(0'(1'(1'(3'(3'(1'(0'(3'(3'(1'(3'(3'(3'(3'(1'(1'(1'(1'(2'(0'(1'(x1958))))))))))))))))))))))))))))))))))) :|: x1958 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1958)))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 0'(3'(3'(1'(2'(1'(3'(0'(3'(3'(2'(0'(1'(1'(0'(1'(1'(3'(3'(1'(0'(1'(2'(3'(2'(0'(1'(1'(3'(3'(3'(3'(2'(3'(2'(x1969))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1969))))))))))))))))))))))))))))))))), x1969 >= 0
   0'(z) -{ 2 }-> 0'(3'(3'(1'(2'(1'(3'(0'(3'(3'(2'(0'(1'(1'(0'(1'(1'(3'(3'(0'(0'(3'(2'(3'(2'(0'(0'(0'(2'(3'(2'(1'(2'(3'(2'(x1968))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1968))))))))))))))))))))))))))))))))), x1968 >= 0
   0'(z) -{ 2 }-> 0'(3'(3'(1'(2'(1'(3'(0'(3'(3'(2'(0'(1'(1'(0'(1'(1'(3'(2'(2'(1'(0'(3'(2'(0'(0'(2'(3'(3'(2'(3'(3'(0'(0'(3'(x1962))))))))))))))))))))))))))))))))))) :|: x1962 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1962)))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 0'(3'(3'(1'(2'(1'(3'(0'(3'(3'(2'(0'(1'(1'(0'(1'(1'(3'(2'(1'(1'(1'(1'(1'(0'(3'(2'(2'(2'(1'(2'(3'(1'(1'(1'(x1956))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1956))))))))))))))))))))))))))))))))), x1956 >= 0
   0'(z) -{ 2 }-> 0'(3'(3'(1'(2'(1'(3'(0'(3'(3'(2'(0'(1'(1'(0'(1'(1'(3'(2'(0'(3'(2'(3'(0'(1'(0'(1'(1'(0'(3'(1'(3'(0'(2'(0'(x1970))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1970))))))))))))))))))))))))))))))))), x1970 >= 0
   0'(z) -{ 2 }-> 0'(3'(3'(1'(2'(1'(3'(0'(3'(3'(2'(0'(1'(1'(0'(1'(1'(3'(1'(3'(1'(0'(3'(3'(2'(1'(2'(1'(2'(0'(2'(3'(2'(0'(0'(x1965))))))))))))))))))))))))))))))))))) :|: x1965 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1965)))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 0'(3'(3'(1'(2'(1'(3'(0'(3'(3'(2'(0'(1'(1'(0'(1'(1'(3'(1'(1'(1'(2'(2'(2'(0'(3'(2'(0'(3'(2'(3'(2'(0'(0'(1'(x1957))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1957))))))))))))))))))))))))))))))))), x1957 >= 0
   0'(z) -{ 2 }-> 0'(3'(3'(1'(2'(1'(3'(0'(3'(3'(2'(0'(1'(1'(0'(1'(1'(3'(1'(0'(2'(2'(1'(3'(0'(0'(2'(0'(3'(2'(1'(1'(0'(2'(0'(x1964))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1964))))))))))))))))))))))))))))))))), x1964 >= 0
   0'(z) -{ 2 }-> 0'(3'(3'(1'(2'(1'(3'(0'(3'(3'(2'(0'(1'(1'(0'(1'(1'(3'(0'(2'(2'(3'(2'(0'(1'(3'(1'(0'(2'(1'(3'(3'(2'(0'(3'(x1959))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1959))))))))))))))))))))))))))))))))), x1959 >= 0
   0'(z) -{ 2 }-> 0'(3'(3'(1'(2'(1'(3'(0'(3'(3'(2'(0'(1'(1'(0'(1'(1'(3'(0'(2'(1'(0'(1'(3'(3'(2'(0'(0'(3'(0'(3'(2'(3'(1'(0'(x1960))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1960))))))))))))))))))))))))))))))))), x1960 >= 0
   0'(z) -{ 2 }-> 0'(3'(3'(1'(2'(1'(3'(0'(3'(3'(2'(0'(1'(1'(0'(1'(1'(2'(3'(0'(2'(3'(1'(1'(0'(2'(0'(2'(1'(1'(0'(0'(2'(0'(2'(x1972))))))))))))))))))))))))))))))))))) :|: x1972 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1972)))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 0'(3'(3'(1'(2'(1'(3'(0'(3'(3'(2'(0'(1'(1'(0'(1'(1'(1'(3'(3'(2'(0'(0'(0'(1'(3'(3'(2'(0'(1'(1'(2'(1'(2'(3'(x1967))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1967))))))))))))))))))))))))))))))))), x1967 >= 0
   0'(z) -{ 2 }-> 0'(3'(3'(1'(2'(1'(3'(0'(3'(3'(2'(0'(1'(1'(0'(1'(1'(0'(3'(3'(2'(1'(0'(0'(2'(3'(3'(1'(1'(0'(1'(1'(3'(2'(0'(x1963))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1963))))))))))))))))))))))))))))))))), x1963 >= 0
   0'(z) -{ 2 }-> 0'(3'(3'(1'(2'(1'(3'(0'(3'(3'(2'(0'(1'(1'(0'(1'(1'(0'(2'(1'(3'(3'(3'(2'(1'(1'(0'(1'(3'(3'(2'(1'(1'(3'(3'(x1966))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1966))))))))))))))))))))))))))))))))), x1966 >= 0
   0'(z) -{ 2 }-> 0'(3'(3'(1'(2'(1'(3'(0'(3'(3'(2'(0'(1'(1'(0'(1'(1'(0'(0'(1'(1'(0'(2'(2'(3'(3'(2'(1'(0'(0'(2'(3'(3'(2'(0'(x1961))))))))))))))))))))))))))))))))))) :|: x1961 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1961)))))))))))))))))))))))))))))))))
   0'(z) -{ 1 }-> 0'(3'(3'(1'(2'(1'(3'(0'(3'(3'(2'(0'(1'(1'(0'(1'(1'(0))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   0'(z) -{ 1 }-> 0'(3'(3'(1'(2'(1'(3'(0'(3'(3'(2'(0'(1'(1'(0'(1'(1'(1 + x1))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   0'(z) -{ 1 }-> 0'(3'(1'(0'(3'(2'(0'(1'(0'(1'(0'(0'(2'(0'(1'(2'(0'(1'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   0'(z) -{ 1 }-> 0'(3'(0'(3'(3'(2'(3'(2'(3'(0'(0'(0'(0'(1'(1'(1'(3'(0'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   0'(z) -{ 1 }-> 0'(3'(0'(2'(3'(0'(1'(3'(3'(2'(0'(0'(3'(3'(2'(1'(2'(0'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   0'(z) -{ 1 }-> 0'(3'(0'(2'(1'(0'(3'(2'(1'(1'(2'(1'(3'(1'(3'(1'(1'(1'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   0'(z) -{ 1 }-> 0'(3'(0'(0'(3'(3'(3'(2'(1'(3'(2'(0'(0'(1'(3'(0'(0'(0'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   0'(z) -{ 2 }-> 0'(3'(0'(0'(3'(3'(0'(1'(0'(3'(0'(1'(0'(0'(2'(1'(1'(3'(3'(3'(2'(0'(1'(3'(2'(0'(1'(3'(3'(1'(2'(1'(1'(2'(3'(x1132))))))))))))))))))))))))))))))))))) :|: x1132 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1132)))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 0'(3'(0'(0'(3'(3'(0'(1'(0'(3'(0'(1'(0'(0'(2'(1'(1'(3'(3'(1'(0'(3'(3'(1'(3'(3'(3'(3'(1'(1'(1'(1'(2'(0'(1'(x1119))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1119))))))))))))))))))))))))))))))))), x1119 >= 0
   0'(z) -{ 2 }-> 0'(3'(0'(0'(3'(3'(0'(1'(0'(3'(0'(1'(0'(0'(2'(1'(1'(3'(3'(1'(0'(1'(2'(3'(2'(0'(1'(1'(3'(3'(3'(3'(2'(3'(2'(x1130))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1130))))))))))))))))))))))))))))))))), x1130 >= 0
   0'(z) -{ 2 }-> 0'(3'(0'(0'(3'(3'(0'(1'(0'(3'(0'(1'(0'(0'(2'(1'(1'(3'(3'(0'(0'(3'(2'(3'(2'(0'(0'(0'(2'(3'(2'(1'(2'(3'(2'(x1129))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1129))))))))))))))))))))))))))))))))), x1129 >= 0
   0'(z) -{ 2 }-> 0'(3'(0'(0'(3'(3'(0'(1'(0'(3'(0'(1'(0'(0'(2'(1'(1'(3'(2'(2'(1'(0'(3'(2'(0'(0'(2'(3'(3'(2'(3'(3'(0'(0'(3'(x1123))))))))))))))))))))))))))))))))))) :|: x1123 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1123)))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 0'(3'(0'(0'(3'(3'(0'(1'(0'(3'(0'(1'(0'(0'(2'(1'(1'(3'(2'(1'(1'(1'(1'(1'(0'(3'(2'(2'(2'(1'(2'(3'(1'(1'(1'(x1117))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1117))))))))))))))))))))))))))))))))), x1117 >= 0
   0'(z) -{ 2 }-> 0'(3'(0'(0'(3'(3'(0'(1'(0'(3'(0'(1'(0'(0'(2'(1'(1'(3'(2'(0'(3'(2'(3'(0'(1'(0'(1'(1'(0'(3'(1'(3'(0'(2'(0'(x1131))))))))))))))))))))))))))))))))))) :|: x1131 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1131)))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 0'(3'(0'(0'(3'(3'(0'(1'(0'(3'(0'(1'(0'(0'(2'(1'(1'(3'(1'(3'(1'(0'(3'(3'(2'(1'(2'(1'(2'(0'(2'(3'(2'(0'(0'(x1126))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1126))))))))))))))))))))))))))))))))), x1126 >= 0
   0'(z) -{ 2 }-> 0'(3'(0'(0'(3'(3'(0'(1'(0'(3'(0'(1'(0'(0'(2'(1'(1'(3'(1'(1'(1'(2'(2'(2'(0'(3'(2'(0'(3'(2'(3'(2'(0'(0'(1'(x1118))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1118))))))))))))))))))))))))))))))))), x1118 >= 0
   0'(z) -{ 2 }-> 0'(3'(0'(0'(3'(3'(0'(1'(0'(3'(0'(1'(0'(0'(2'(1'(1'(3'(1'(0'(2'(2'(1'(3'(0'(0'(2'(0'(3'(2'(1'(1'(0'(2'(0'(x1125))))))))))))))))))))))))))))))))))) :|: x1125 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1125)))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 0'(3'(0'(0'(3'(3'(0'(1'(0'(3'(0'(1'(0'(0'(2'(1'(1'(3'(0'(2'(2'(3'(2'(0'(1'(3'(1'(0'(2'(1'(3'(3'(2'(0'(3'(x1120))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1120))))))))))))))))))))))))))))))))), x1120 >= 0
   0'(z) -{ 2 }-> 0'(3'(0'(0'(3'(3'(0'(1'(0'(3'(0'(1'(0'(0'(2'(1'(1'(3'(0'(2'(1'(0'(1'(3'(3'(2'(0'(0'(3'(0'(3'(2'(3'(1'(0'(x1121))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1121))))))))))))))))))))))))))))))))), x1121 >= 0
   0'(z) -{ 2 }-> 0'(3'(0'(0'(3'(3'(0'(1'(0'(3'(0'(1'(0'(0'(2'(1'(1'(2'(3'(0'(2'(3'(1'(1'(0'(2'(0'(2'(1'(1'(0'(0'(2'(0'(2'(x1133))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1133))))))))))))))))))))))))))))))))), x1133 >= 0
   0'(z) -{ 2 }-> 0'(3'(0'(0'(3'(3'(0'(1'(0'(3'(0'(1'(0'(0'(2'(1'(1'(1'(3'(3'(2'(0'(0'(0'(1'(3'(3'(2'(0'(1'(1'(2'(1'(2'(3'(x1128))))))))))))))))))))))))))))))))))) :|: x1128 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1128)))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 0'(3'(0'(0'(3'(3'(0'(1'(0'(3'(0'(1'(0'(0'(2'(1'(1'(0'(3'(3'(2'(1'(0'(0'(2'(3'(3'(1'(1'(0'(1'(1'(3'(2'(0'(x1124))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1124))))))))))))))))))))))))))))))))), x1124 >= 0
   0'(z) -{ 2 }-> 0'(3'(0'(0'(3'(3'(0'(1'(0'(3'(0'(1'(0'(0'(2'(1'(1'(0'(2'(1'(3'(3'(3'(2'(1'(1'(0'(1'(3'(3'(2'(1'(1'(3'(3'(x1127))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1127))))))))))))))))))))))))))))))))), x1127 >= 0
   0'(z) -{ 2 }-> 0'(3'(0'(0'(3'(3'(0'(1'(0'(3'(0'(1'(0'(0'(2'(1'(1'(0'(0'(1'(1'(0'(2'(2'(3'(3'(2'(1'(0'(0'(2'(3'(3'(2'(0'(x1122))))))))))))))))))))))))))))))))))) :|: x1122 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1122)))))))))))))))))))))))))))))))))
   0'(z) -{ 1 }-> 0'(3'(0'(0'(3'(3'(0'(1'(0'(3'(0'(1'(0'(0'(2'(1'(1'(0))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   0'(z) -{ 1 }-> 0'(3'(0'(0'(3'(3'(0'(1'(0'(3'(0'(1'(0'(0'(2'(1'(1'(1 + x1))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   0'(z) -{ 1 }-> 0'(3'(0'(0'(2'(1'(3'(1'(2'(3'(2'(1'(0'(0'(0'(3'(2'(0'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   0'(z) -{ 1 }-> 0'(2'(2'(1'(1'(0'(2'(3'(0'(0'(2'(0'(2'(1'(3'(2'(3'(0'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   0'(z) -{ 2 }-> 0'(2'(1'(0'(1'(0'(1'(0'(0'(3'(3'(2'(3'(0'(2'(3'(2'(3'(3'(3'(2'(0'(1'(3'(2'(0'(1'(3'(3'(1'(2'(1'(1'(2'(3'(x1542))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1542))))))))))))))))))))))))))))))))), x1542 >= 0
   0'(z) -{ 2 }-> 0'(2'(1'(0'(1'(0'(1'(0'(0'(3'(3'(2'(3'(0'(2'(3'(2'(3'(3'(1'(0'(3'(3'(1'(3'(3'(3'(3'(1'(1'(1'(1'(2'(0'(1'(x1529))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1529))))))))))))))))))))))))))))))))), x1529 >= 0
   0'(z) -{ 2 }-> 0'(2'(1'(0'(1'(0'(1'(0'(0'(3'(3'(2'(3'(0'(2'(3'(2'(3'(3'(1'(0'(1'(2'(3'(2'(0'(1'(1'(3'(3'(3'(3'(2'(3'(2'(x1540))))))))))))))))))))))))))))))))))) :|: x1540 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1540)))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 0'(2'(1'(0'(1'(0'(1'(0'(0'(3'(3'(2'(3'(0'(2'(3'(2'(3'(3'(0'(0'(3'(2'(3'(2'(0'(0'(0'(2'(3'(2'(1'(2'(3'(2'(x1539))))))))))))))))))))))))))))))))))) :|: x1539 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1539)))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 0'(2'(1'(0'(1'(0'(1'(0'(0'(3'(3'(2'(3'(0'(2'(3'(2'(3'(2'(2'(1'(0'(3'(2'(0'(0'(2'(3'(3'(2'(3'(3'(0'(0'(3'(x1533))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1533))))))))))))))))))))))))))))))))), x1533 >= 0
   0'(z) -{ 2 }-> 0'(2'(1'(0'(1'(0'(1'(0'(0'(3'(3'(2'(3'(0'(2'(3'(2'(3'(2'(1'(1'(1'(1'(1'(0'(3'(2'(2'(2'(1'(2'(3'(1'(1'(1'(x1527))))))))))))))))))))))))))))))))))) :|: x1527 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1527)))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 0'(2'(1'(0'(1'(0'(1'(0'(0'(3'(3'(2'(3'(0'(2'(3'(2'(3'(2'(0'(3'(2'(3'(0'(1'(0'(1'(1'(0'(3'(1'(3'(0'(2'(0'(x1541))))))))))))))))))))))))))))))))))) :|: x1541 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1541)))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 0'(2'(1'(0'(1'(0'(1'(0'(0'(3'(3'(2'(3'(0'(2'(3'(2'(3'(1'(3'(1'(0'(3'(3'(2'(1'(2'(1'(2'(0'(2'(3'(2'(0'(0'(x1536))))))))))))))))))))))))))))))))))) :|: x1536 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1536)))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 0'(2'(1'(0'(1'(0'(1'(0'(0'(3'(3'(2'(3'(0'(2'(3'(2'(3'(1'(1'(1'(2'(2'(2'(0'(3'(2'(0'(3'(2'(3'(2'(0'(0'(1'(x1528))))))))))))))))))))))))))))))))))) :|: x1528 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1528)))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 0'(2'(1'(0'(1'(0'(1'(0'(0'(3'(3'(2'(3'(0'(2'(3'(2'(3'(1'(0'(2'(2'(1'(3'(0'(0'(2'(0'(3'(2'(1'(1'(0'(2'(0'(x1535))))))))))))))))))))))))))))))))))) :|: x1535 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1535)))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 0'(2'(1'(0'(1'(0'(1'(0'(0'(3'(3'(2'(3'(0'(2'(3'(2'(3'(0'(2'(2'(3'(2'(0'(1'(3'(1'(0'(2'(1'(3'(3'(2'(0'(3'(x1530))))))))))))))))))))))))))))))))))) :|: x1530 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1530)))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 0'(2'(1'(0'(1'(0'(1'(0'(0'(3'(3'(2'(3'(0'(2'(3'(2'(3'(0'(2'(1'(0'(1'(3'(3'(2'(0'(0'(3'(0'(3'(2'(3'(1'(0'(x1531))))))))))))))))))))))))))))))))))) :|: x1531 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1531)))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 0'(2'(1'(0'(1'(0'(1'(0'(0'(3'(3'(2'(3'(0'(2'(3'(2'(2'(3'(0'(2'(3'(1'(1'(0'(2'(0'(2'(1'(1'(0'(0'(2'(0'(2'(x1543))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1543))))))))))))))))))))))))))))))))), x1543 >= 0
   0'(z) -{ 2 }-> 0'(2'(1'(0'(1'(0'(1'(0'(0'(3'(3'(2'(3'(0'(2'(3'(2'(1'(3'(3'(2'(0'(0'(0'(1'(3'(3'(2'(0'(1'(1'(2'(1'(2'(3'(x1538))))))))))))))))))))))))))))))))))) :|: x1538 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1538)))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 0'(2'(1'(0'(1'(0'(1'(0'(0'(3'(3'(2'(3'(0'(2'(3'(2'(0'(3'(3'(2'(1'(0'(0'(2'(3'(3'(1'(1'(0'(1'(1'(3'(2'(0'(x1534))))))))))))))))))))))))))))))))))) :|: x1534 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1534)))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 0'(2'(1'(0'(1'(0'(1'(0'(0'(3'(3'(2'(3'(0'(2'(3'(2'(0'(2'(1'(3'(3'(3'(2'(1'(1'(0'(1'(3'(3'(2'(1'(1'(3'(3'(x1537))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1537))))))))))))))))))))))))))))))))), x1537 >= 0
   0'(z) -{ 2 }-> 0'(2'(1'(0'(1'(0'(1'(0'(0'(3'(3'(2'(3'(0'(2'(3'(2'(0'(0'(1'(1'(0'(2'(2'(3'(3'(2'(1'(0'(0'(2'(3'(3'(2'(0'(x1532))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1532))))))))))))))))))))))))))))))))), x1532 >= 0
   0'(z) -{ 1 }-> 0'(2'(1'(0'(1'(0'(1'(0'(0'(3'(3'(2'(3'(0'(2'(3'(2'(0))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   0'(z) -{ 1 }-> 0'(2'(1'(0'(1'(0'(1'(0'(0'(3'(3'(2'(3'(0'(2'(3'(2'(1 + x1))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   0'(z) -{ 1 }-> 0'(2'(1'(0'(0'(3'(2'(0'(0'(3'(3'(3'(1'(1'(0'(1'(2'(0'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   0'(z) -{ 2 }-> 0'(2'(0'(3'(2'(2'(0'(3'(3'(3'(2'(2'(2'(0'(2'(0'(2'(3'(3'(3'(2'(0'(1'(3'(2'(0'(1'(3'(3'(1'(2'(1'(1'(2'(3'(x11213))))))))))))))))))))))))))))))))))) :|: x11213 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11213)))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 0'(2'(0'(3'(2'(2'(0'(3'(3'(3'(2'(2'(2'(0'(2'(0'(2'(3'(3'(1'(0'(3'(3'(1'(3'(3'(3'(3'(1'(1'(1'(1'(2'(0'(1'(x11200))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11200))))))))))))))))))))))))))))))))), x11200 >= 0
   0'(z) -{ 2 }-> 0'(2'(0'(3'(2'(2'(0'(3'(3'(3'(2'(2'(2'(0'(2'(0'(2'(3'(3'(1'(0'(1'(2'(3'(2'(0'(1'(1'(3'(3'(3'(3'(2'(3'(2'(x11211))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11211))))))))))))))))))))))))))))))))), x11211 >= 0
   0'(z) -{ 2 }-> 0'(2'(0'(3'(2'(2'(0'(3'(3'(3'(2'(2'(2'(0'(2'(0'(2'(3'(3'(0'(0'(3'(2'(3'(2'(0'(0'(0'(2'(3'(2'(1'(2'(3'(2'(x11210))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11210))))))))))))))))))))))))))))))))), x11210 >= 0
   0'(z) -{ 2 }-> 0'(2'(0'(3'(2'(2'(0'(3'(3'(3'(2'(2'(2'(0'(2'(0'(2'(3'(2'(2'(1'(0'(3'(2'(0'(0'(2'(3'(3'(2'(3'(3'(0'(0'(3'(x11204))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11204))))))))))))))))))))))))))))))))), x11204 >= 0
   0'(z) -{ 2 }-> 0'(2'(0'(3'(2'(2'(0'(3'(3'(3'(2'(2'(2'(0'(2'(0'(2'(3'(2'(1'(1'(1'(1'(1'(0'(3'(2'(2'(2'(1'(2'(3'(1'(1'(1'(x11198))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11198))))))))))))))))))))))))))))))))), x11198 >= 0
   0'(z) -{ 2 }-> 0'(2'(0'(3'(2'(2'(0'(3'(3'(3'(2'(2'(2'(0'(2'(0'(2'(3'(2'(0'(3'(2'(3'(0'(1'(0'(1'(1'(0'(3'(1'(3'(0'(2'(0'(x11212))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11212))))))))))))))))))))))))))))))))), x11212 >= 0
   0'(z) -{ 2 }-> 0'(2'(0'(3'(2'(2'(0'(3'(3'(3'(2'(2'(2'(0'(2'(0'(2'(3'(1'(3'(1'(0'(3'(3'(2'(1'(2'(1'(2'(0'(2'(3'(2'(0'(0'(x11207))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11207))))))))))))))))))))))))))))))))), x11207 >= 0
   0'(z) -{ 2 }-> 0'(2'(0'(3'(2'(2'(0'(3'(3'(3'(2'(2'(2'(0'(2'(0'(2'(3'(1'(1'(1'(2'(2'(2'(0'(3'(2'(0'(3'(2'(3'(2'(0'(0'(1'(x11199))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11199))))))))))))))))))))))))))))))))), x11199 >= 0
   0'(z) -{ 2 }-> 0'(2'(0'(3'(2'(2'(0'(3'(3'(3'(2'(2'(2'(0'(2'(0'(2'(3'(1'(0'(2'(2'(1'(3'(0'(0'(2'(0'(3'(2'(1'(1'(0'(2'(0'(x11206))))))))))))))))))))))))))))))))))) :|: x11206 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11206)))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 0'(2'(0'(3'(2'(2'(0'(3'(3'(3'(2'(2'(2'(0'(2'(0'(2'(3'(0'(2'(2'(3'(2'(0'(1'(3'(1'(0'(2'(1'(3'(3'(2'(0'(3'(x11201))))))))))))))))))))))))))))))))))) :|: x11201 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11201)))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 0'(2'(0'(3'(2'(2'(0'(3'(3'(3'(2'(2'(2'(0'(2'(0'(2'(3'(0'(2'(1'(0'(1'(3'(3'(2'(0'(0'(3'(0'(3'(2'(3'(1'(0'(x11202))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11202))))))))))))))))))))))))))))))))), x11202 >= 0
   0'(z) -{ 2 }-> 0'(2'(0'(3'(2'(2'(0'(3'(3'(3'(2'(2'(2'(0'(2'(0'(2'(2'(3'(0'(2'(3'(1'(1'(0'(2'(0'(2'(1'(1'(0'(0'(2'(0'(2'(x11214))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11214))))))))))))))))))))))))))))))))), x11214 >= 0
   0'(z) -{ 2 }-> 0'(2'(0'(3'(2'(2'(0'(3'(3'(3'(2'(2'(2'(0'(2'(0'(2'(1'(3'(3'(2'(0'(0'(0'(1'(3'(3'(2'(0'(1'(1'(2'(1'(2'(3'(x11209))))))))))))))))))))))))))))))))))) :|: x11209 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11209)))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 0'(2'(0'(3'(2'(2'(0'(3'(3'(3'(2'(2'(2'(0'(2'(0'(2'(0'(3'(3'(2'(1'(0'(0'(2'(3'(3'(1'(1'(0'(1'(1'(3'(2'(0'(x11205))))))))))))))))))))))))))))))))))) :|: x11205 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11205)))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 0'(2'(0'(3'(2'(2'(0'(3'(3'(3'(2'(2'(2'(0'(2'(0'(2'(0'(2'(1'(3'(3'(3'(2'(1'(1'(0'(1'(3'(3'(2'(1'(1'(3'(3'(x11208))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11208))))))))))))))))))))))))))))))))), x11208 >= 0
   0'(z) -{ 2 }-> 0'(2'(0'(3'(2'(2'(0'(3'(3'(3'(2'(2'(2'(0'(2'(0'(2'(0'(0'(1'(1'(0'(2'(2'(3'(3'(2'(1'(0'(0'(2'(3'(3'(2'(0'(x11203))))))))))))))))))))))))))))))))))) :|: x11203 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11203)))))))))))))))))))))))))))))))))
   0'(z) -{ 1 }-> 0'(2'(0'(3'(2'(2'(0'(3'(3'(3'(2'(2'(2'(0'(2'(0'(2'(0))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   0'(z) -{ 1 }-> 0'(2'(0'(3'(2'(2'(0'(3'(3'(3'(2'(2'(2'(0'(2'(0'(2'(1 + x1))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   0'(z) -{ 1 }-> 0'(2'(0'(1'(2'(3'(1'(1'(0'(0'(2'(3'(2'(1'(1'(1'(0'(2'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   0'(z) -{ 1 }-> 0'(2'(0'(0'(0'(2'(3'(3'(1'(1'(3'(2'(0'(3'(0'(0'(1'(1'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   0'(z) -{ 1 }-> 0'(1'(0'(1'(1'(0'(0'(2'(1'(1'(0'(0'(2'(0'(2'(0'(0'(0'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   0'(z) -{ 2 }-> 0'(0'(3'(3'(2'(1'(3'(0'(0'(1'(1'(2'(0'(0'(1'(0'(2'(3'(3'(3'(2'(0'(1'(3'(2'(0'(1'(3'(3'(1'(2'(1'(1'(2'(3'(x11114))))))))))))))))))))))))))))))))))) :|: x11114 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11114)))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 0'(0'(3'(3'(2'(1'(3'(0'(0'(1'(1'(2'(0'(0'(1'(0'(2'(3'(3'(1'(0'(3'(3'(1'(3'(3'(3'(3'(1'(1'(1'(1'(2'(0'(1'(x11101))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11101))))))))))))))))))))))))))))))))), x11101 >= 0
   0'(z) -{ 2 }-> 0'(0'(3'(3'(2'(1'(3'(0'(0'(1'(1'(2'(0'(0'(1'(0'(2'(3'(3'(1'(0'(1'(2'(3'(2'(0'(1'(1'(3'(3'(3'(3'(2'(3'(2'(x11112))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11112))))))))))))))))))))))))))))))))), x11112 >= 0
   0'(z) -{ 2 }-> 0'(0'(3'(3'(2'(1'(3'(0'(0'(1'(1'(2'(0'(0'(1'(0'(2'(3'(3'(0'(0'(3'(2'(3'(2'(0'(0'(0'(2'(3'(2'(1'(2'(3'(2'(x11111))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11111))))))))))))))))))))))))))))))))), x11111 >= 0
   0'(z) -{ 2 }-> 0'(0'(3'(3'(2'(1'(3'(0'(0'(1'(1'(2'(0'(0'(1'(0'(2'(3'(2'(2'(1'(0'(3'(2'(0'(0'(2'(3'(3'(2'(3'(3'(0'(0'(3'(x11105))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11105))))))))))))))))))))))))))))))))), x11105 >= 0
   0'(z) -{ 2 }-> 0'(0'(3'(3'(2'(1'(3'(0'(0'(1'(1'(2'(0'(0'(1'(0'(2'(3'(2'(1'(1'(1'(1'(1'(0'(3'(2'(2'(2'(1'(2'(3'(1'(1'(1'(x11099))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11099))))))))))))))))))))))))))))))))), x11099 >= 0
   0'(z) -{ 2 }-> 0'(0'(3'(3'(2'(1'(3'(0'(0'(1'(1'(2'(0'(0'(1'(0'(2'(3'(2'(0'(3'(2'(3'(0'(1'(0'(1'(1'(0'(3'(1'(3'(0'(2'(0'(x11113))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11113))))))))))))))))))))))))))))))))), x11113 >= 0
   0'(z) -{ 2 }-> 0'(0'(3'(3'(2'(1'(3'(0'(0'(1'(1'(2'(0'(0'(1'(0'(2'(3'(1'(3'(1'(0'(3'(3'(2'(1'(2'(1'(2'(0'(2'(3'(2'(0'(0'(x11108))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11108))))))))))))))))))))))))))))))))), x11108 >= 0
   0'(z) -{ 2 }-> 0'(0'(3'(3'(2'(1'(3'(0'(0'(1'(1'(2'(0'(0'(1'(0'(2'(3'(1'(1'(1'(2'(2'(2'(0'(3'(2'(0'(3'(2'(3'(2'(0'(0'(1'(x11100))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11100))))))))))))))))))))))))))))))))), x11100 >= 0
   0'(z) -{ 2 }-> 0'(0'(3'(3'(2'(1'(3'(0'(0'(1'(1'(2'(0'(0'(1'(0'(2'(3'(1'(0'(2'(2'(1'(3'(0'(0'(2'(0'(3'(2'(1'(1'(0'(2'(0'(x11107))))))))))))))))))))))))))))))))))) :|: x11107 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11107)))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 0'(0'(3'(3'(2'(1'(3'(0'(0'(1'(1'(2'(0'(0'(1'(0'(2'(3'(0'(2'(2'(3'(2'(0'(1'(3'(1'(0'(2'(1'(3'(3'(2'(0'(3'(x11102))))))))))))))))))))))))))))))))))) :|: x11102 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11102)))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 0'(0'(3'(3'(2'(1'(3'(0'(0'(1'(1'(2'(0'(0'(1'(0'(2'(3'(0'(2'(1'(0'(1'(3'(3'(2'(0'(0'(3'(0'(3'(2'(3'(1'(0'(x11103))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11103))))))))))))))))))))))))))))))))), x11103 >= 0
   0'(z) -{ 2 }-> 0'(0'(3'(3'(2'(1'(3'(0'(0'(1'(1'(2'(0'(0'(1'(0'(2'(2'(3'(0'(2'(3'(1'(1'(0'(2'(0'(2'(1'(1'(0'(0'(2'(0'(2'(x11115))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11115))))))))))))))))))))))))))))))))), x11115 >= 0
   0'(z) -{ 2 }-> 0'(0'(3'(3'(2'(1'(3'(0'(0'(1'(1'(2'(0'(0'(1'(0'(2'(1'(3'(3'(2'(0'(0'(0'(1'(3'(3'(2'(0'(1'(1'(2'(1'(2'(3'(x11110))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11110))))))))))))))))))))))))))))))))), x11110 >= 0
   0'(z) -{ 2 }-> 0'(0'(3'(3'(2'(1'(3'(0'(0'(1'(1'(2'(0'(0'(1'(0'(2'(0'(3'(3'(2'(1'(0'(0'(2'(3'(3'(1'(1'(0'(1'(1'(3'(2'(0'(x11106))))))))))))))))))))))))))))))))))) :|: x11106 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11106)))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 0'(0'(3'(3'(2'(1'(3'(0'(0'(1'(1'(2'(0'(0'(1'(0'(2'(0'(2'(1'(3'(3'(3'(2'(1'(1'(0'(1'(3'(3'(2'(1'(1'(3'(3'(x11109))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11109))))))))))))))))))))))))))))))))), x11109 >= 0
   0'(z) -{ 2 }-> 0'(0'(3'(3'(2'(1'(3'(0'(0'(1'(1'(2'(0'(0'(1'(0'(2'(0'(0'(1'(1'(0'(2'(2'(3'(3'(2'(1'(0'(0'(2'(3'(3'(2'(0'(x11104))))))))))))))))))))))))))))))))))) :|: x11104 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11104)))))))))))))))))))))))))))))))))
   0'(z) -{ 1 }-> 0'(0'(3'(3'(2'(1'(3'(0'(0'(1'(1'(2'(0'(0'(1'(0'(2'(0))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   0'(z) -{ 1 }-> 0'(0'(3'(3'(2'(1'(3'(0'(0'(1'(1'(2'(0'(0'(1'(0'(2'(1 + x1))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   0'(z) -{ 1 }-> 0'(0'(3'(3'(1'(0'(2'(3'(2'(1'(1'(3'(1'(1'(1'(3'(2'(0'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   0'(z) -{ 2 }-> 0'(0'(2'(3'(2'(0'(1'(0'(2'(1'(0'(1'(0'(3'(0'(3'(0'(3'(3'(3'(2'(0'(1'(3'(2'(0'(1'(3'(3'(1'(2'(1'(1'(2'(3'(x175))))))))))))))))))))))))))))))))))) :|: x175 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x175)))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 0'(0'(2'(3'(2'(0'(1'(0'(2'(1'(0'(1'(0'(3'(0'(3'(0'(3'(3'(1'(0'(3'(3'(1'(3'(3'(3'(3'(1'(1'(1'(1'(2'(0'(1'(x162))))))))))))))))))))))))))))))))))) :|: x162 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x162)))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 0'(0'(2'(3'(2'(0'(1'(0'(2'(1'(0'(1'(0'(3'(0'(3'(0'(3'(3'(1'(0'(1'(2'(3'(2'(0'(1'(1'(3'(3'(3'(3'(2'(3'(2'(x173))))))))))))))))))))))))))))))))))) :|: x173 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x173)))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 0'(0'(2'(3'(2'(0'(1'(0'(2'(1'(0'(1'(0'(3'(0'(3'(0'(3'(3'(0'(0'(3'(2'(3'(2'(0'(0'(0'(2'(3'(2'(1'(2'(3'(2'(x172))))))))))))))))))))))))))))))))))) :|: x172 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x172)))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 0'(0'(2'(3'(2'(0'(1'(0'(2'(1'(0'(1'(0'(3'(0'(3'(0'(3'(2'(2'(1'(0'(3'(2'(0'(0'(2'(3'(3'(2'(3'(3'(0'(0'(3'(x166))))))))))))))))))))))))))))))))))) :|: x166 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x166)))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 0'(0'(2'(3'(2'(0'(1'(0'(2'(1'(0'(1'(0'(3'(0'(3'(0'(3'(2'(1'(1'(1'(1'(1'(0'(3'(2'(2'(2'(1'(2'(3'(1'(1'(1'(x160))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x160))))))))))))))))))))))))))))))))), x160 >= 0
   0'(z) -{ 2 }-> 0'(0'(2'(3'(2'(0'(1'(0'(2'(1'(0'(1'(0'(3'(0'(3'(0'(3'(2'(0'(3'(2'(3'(0'(1'(0'(1'(1'(0'(3'(1'(3'(0'(2'(0'(x174))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x174))))))))))))))))))))))))))))))))), x174 >= 0
   0'(z) -{ 2 }-> 0'(0'(2'(3'(2'(0'(1'(0'(2'(1'(0'(1'(0'(3'(0'(3'(0'(3'(1'(3'(1'(0'(3'(3'(2'(1'(2'(1'(2'(0'(2'(3'(2'(0'(0'(x169))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x169))))))))))))))))))))))))))))))))), x169 >= 0
   0'(z) -{ 2 }-> 0'(0'(2'(3'(2'(0'(1'(0'(2'(1'(0'(1'(0'(3'(0'(3'(0'(3'(1'(1'(1'(2'(2'(2'(0'(3'(2'(0'(3'(2'(3'(2'(0'(0'(1'(x161))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x161))))))))))))))))))))))))))))))))), x161 >= 0
   0'(z) -{ 2 }-> 0'(0'(2'(3'(2'(0'(1'(0'(2'(1'(0'(1'(0'(3'(0'(3'(0'(3'(1'(0'(2'(2'(1'(3'(0'(0'(2'(0'(3'(2'(1'(1'(0'(2'(0'(x168))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x168))))))))))))))))))))))))))))))))), x168 >= 0
   0'(z) -{ 2 }-> 0'(0'(2'(3'(2'(0'(1'(0'(2'(1'(0'(1'(0'(3'(0'(3'(0'(3'(0'(2'(2'(3'(2'(0'(1'(3'(1'(0'(2'(1'(3'(3'(2'(0'(3'(x163))))))))))))))))))))))))))))))))))) :|: x163 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x163)))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 0'(0'(2'(3'(2'(0'(1'(0'(2'(1'(0'(1'(0'(3'(0'(3'(0'(3'(0'(2'(1'(0'(1'(3'(3'(2'(0'(0'(3'(0'(3'(2'(3'(1'(0'(x164))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x164))))))))))))))))))))))))))))))))), x164 >= 0
   0'(z) -{ 2 }-> 0'(0'(2'(3'(2'(0'(1'(0'(2'(1'(0'(1'(0'(3'(0'(3'(0'(2'(3'(0'(2'(3'(1'(1'(0'(2'(0'(2'(1'(1'(0'(0'(2'(0'(2'(x176))))))))))))))))))))))))))))))))))) :|: x176 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x176)))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 0'(0'(2'(3'(2'(0'(1'(0'(2'(1'(0'(1'(0'(3'(0'(3'(0'(1'(3'(3'(2'(0'(0'(0'(1'(3'(3'(2'(0'(1'(1'(2'(1'(2'(3'(x171))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x171))))))))))))))))))))))))))))))))), x171 >= 0
   0'(z) -{ 2 }-> 0'(0'(2'(3'(2'(0'(1'(0'(2'(1'(0'(1'(0'(3'(0'(3'(0'(0'(3'(3'(2'(1'(0'(0'(2'(3'(3'(1'(1'(0'(1'(1'(3'(2'(0'(x167))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x167))))))))))))))))))))))))))))))))), x167 >= 0
   0'(z) -{ 2 }-> 0'(0'(2'(3'(2'(0'(1'(0'(2'(1'(0'(1'(0'(3'(0'(3'(0'(0'(2'(1'(3'(3'(3'(2'(1'(1'(0'(1'(3'(3'(2'(1'(1'(3'(3'(x170))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x170))))))))))))))))))))))))))))))))), x170 >= 0
   0'(z) -{ 2 }-> 0'(0'(2'(3'(2'(0'(1'(0'(2'(1'(0'(1'(0'(3'(0'(3'(0'(0'(0'(1'(1'(0'(2'(2'(3'(3'(2'(1'(0'(0'(2'(3'(3'(2'(0'(x165))))))))))))))))))))))))))))))))))) :|: x165 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x165)))))))))))))))))))))))))))))))))
   0'(z) -{ 1 }-> 0'(0'(2'(3'(2'(0'(1'(0'(2'(1'(0'(1'(0'(3'(0'(3'(0'(0))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   0'(z) -{ 1 }-> 0'(0'(2'(3'(2'(0'(1'(0'(2'(1'(0'(1'(0'(3'(0'(3'(0'(1 + x1))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   0'(z) -{ 1 }-> 0'(0'(1'(1'(1'(3'(3'(3'(2'(1'(1'(0'(0'(1'(2'(0'(2'(0'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   0'(z) -{ 2 }-> 0'(0'(0'(2'(3'(0'(0'(0'(0'(1'(1'(3'(1'(0'(2'(3'(3'(3'(3'(3'(2'(0'(1'(3'(2'(0'(1'(3'(3'(1'(2'(1'(1'(2'(3'(x1893))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (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))))))))))))))))))))))))))))))))), x1893 >= 0
   0'(z) -{ 2 }-> 0'(0'(0'(2'(3'(0'(0'(0'(0'(1'(1'(3'(1'(0'(2'(3'(3'(3'(3'(1'(0'(3'(3'(1'(3'(3'(3'(3'(1'(1'(1'(1'(2'(0'(1'(x1880))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1880))))))))))))))))))))))))))))))))), x1880 >= 0
   0'(z) -{ 2 }-> 0'(0'(0'(2'(3'(0'(0'(0'(0'(1'(1'(3'(1'(0'(2'(3'(3'(3'(3'(1'(0'(1'(2'(3'(2'(0'(1'(1'(3'(3'(3'(3'(2'(3'(2'(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 + x1891))))))))))))))))))))))))))))))))), x1891 >= 0
   0'(z) -{ 2 }-> 0'(0'(0'(2'(3'(0'(0'(0'(0'(1'(1'(3'(1'(0'(2'(3'(3'(3'(3'(0'(0'(3'(2'(3'(2'(0'(0'(0'(2'(3'(2'(1'(2'(3'(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 + x1890)))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 0'(0'(0'(2'(3'(0'(0'(0'(0'(1'(1'(3'(1'(0'(2'(3'(3'(3'(2'(2'(1'(0'(3'(2'(0'(0'(2'(3'(3'(2'(3'(3'(0'(0'(3'(x1884))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1884))))))))))))))))))))))))))))))))), x1884 >= 0
   0'(z) -{ 2 }-> 0'(0'(0'(2'(3'(0'(0'(0'(0'(1'(1'(3'(1'(0'(2'(3'(3'(3'(2'(1'(1'(1'(1'(1'(0'(3'(2'(2'(2'(1'(2'(3'(1'(1'(1'(x1878))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1878))))))))))))))))))))))))))))))))), x1878 >= 0
   0'(z) -{ 2 }-> 0'(0'(0'(2'(3'(0'(0'(0'(0'(1'(1'(3'(1'(0'(2'(3'(3'(3'(2'(0'(3'(2'(3'(0'(1'(0'(1'(1'(0'(3'(1'(3'(0'(2'(0'(x1892))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (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))))))))))))))))))))))))))))))))), x1892 >= 0
   0'(z) -{ 2 }-> 0'(0'(0'(2'(3'(0'(0'(0'(0'(1'(1'(3'(1'(0'(2'(3'(3'(3'(1'(3'(1'(0'(3'(3'(2'(1'(2'(1'(2'(0'(2'(3'(2'(0'(0'(x1887))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1887))))))))))))))))))))))))))))))))), x1887 >= 0
   0'(z) -{ 2 }-> 0'(0'(0'(2'(3'(0'(0'(0'(0'(1'(1'(3'(1'(0'(2'(3'(3'(3'(1'(1'(1'(2'(2'(2'(0'(3'(2'(0'(3'(2'(3'(2'(0'(0'(1'(x1879))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1879))))))))))))))))))))))))))))))))), x1879 >= 0
   0'(z) -{ 2 }-> 0'(0'(0'(2'(3'(0'(0'(0'(0'(1'(1'(3'(1'(0'(2'(3'(3'(3'(1'(0'(2'(2'(1'(3'(0'(0'(2'(0'(3'(2'(1'(1'(0'(2'(0'(x1886))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1886))))))))))))))))))))))))))))))))), x1886 >= 0
   0'(z) -{ 2 }-> 0'(0'(0'(2'(3'(0'(0'(0'(0'(1'(1'(3'(1'(0'(2'(3'(3'(3'(0'(2'(2'(3'(2'(0'(1'(3'(1'(0'(2'(1'(3'(3'(2'(0'(3'(x1881))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1881))))))))))))))))))))))))))))))))), x1881 >= 0
   0'(z) -{ 2 }-> 0'(0'(0'(2'(3'(0'(0'(0'(0'(1'(1'(3'(1'(0'(2'(3'(3'(3'(0'(2'(1'(0'(1'(3'(3'(2'(0'(0'(3'(0'(3'(2'(3'(1'(0'(x1882))))))))))))))))))))))))))))))))))) :|: x1882 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1882)))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 0'(0'(0'(2'(3'(0'(0'(0'(0'(1'(1'(3'(1'(0'(2'(3'(3'(2'(3'(0'(2'(3'(1'(1'(0'(2'(0'(2'(1'(1'(0'(0'(2'(0'(2'(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 + x1894))))))))))))))))))))))))))))))))), x1894 >= 0
   0'(z) -{ 2 }-> 0'(0'(0'(2'(3'(0'(0'(0'(0'(1'(1'(3'(1'(0'(2'(3'(3'(1'(3'(3'(2'(0'(0'(0'(1'(3'(3'(2'(0'(1'(1'(2'(1'(2'(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 + x1889))))))))))))))))))))))))))))))))), x1889 >= 0
   0'(z) -{ 2 }-> 0'(0'(0'(2'(3'(0'(0'(0'(0'(1'(1'(3'(1'(0'(2'(3'(3'(0'(3'(3'(2'(1'(0'(0'(2'(3'(3'(1'(1'(0'(1'(1'(3'(2'(0'(x1885))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1885))))))))))))))))))))))))))))))))), x1885 >= 0
   0'(z) -{ 2 }-> 0'(0'(0'(2'(3'(0'(0'(0'(0'(1'(1'(3'(1'(0'(2'(3'(3'(0'(2'(1'(3'(3'(3'(2'(1'(1'(0'(1'(3'(3'(2'(1'(1'(3'(3'(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 + x1888))))))))))))))))))))))))))))))))), x1888 >= 0
   0'(z) -{ 2 }-> 0'(0'(0'(2'(3'(0'(0'(0'(0'(1'(1'(3'(1'(0'(2'(3'(3'(0'(0'(1'(1'(0'(2'(2'(3'(3'(2'(1'(0'(0'(2'(3'(3'(2'(0'(x1883))))))))))))))))))))))))))))))))))) :|: x1883 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1883)))))))))))))))))))))))))))))))))
   0'(z) -{ 1 }-> 0'(0'(0'(2'(3'(0'(0'(0'(0'(1'(1'(3'(1'(0'(2'(3'(3'(0))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   0'(z) -{ 1 }-> 0'(0'(0'(2'(3'(0'(0'(0'(0'(1'(1'(3'(1'(0'(2'(3'(3'(1 + x1))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   0'(z) -{ 0 }-> 0 :|: v0 >= 0, z = v0
   0'(z) -{ 0 }-> 1 + x0 :|: z = x0, x0 >= 0
   1'(z) -{ 1 }-> 1'(3'(3'(2'(3'(3'(1'(2'(2'(0'(1'(2'(2'(2'(1'(1'(1'(0'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   1'(z) -{ 2 }-> 1'(3'(3'(1'(1'(2'(0'(3'(3'(2'(3'(1'(3'(2'(0'(3'(3'(3'(3'(3'(2'(0'(1'(3'(2'(0'(1'(3'(3'(1'(2'(1'(1'(2'(3'(x1771))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1771))))))))))))))))))))))))))))))))), x1771 >= 0
   1'(z) -{ 2 }-> 1'(3'(3'(1'(1'(2'(0'(3'(3'(2'(3'(1'(3'(2'(0'(3'(3'(3'(3'(1'(0'(3'(3'(1'(3'(3'(3'(3'(1'(1'(1'(1'(2'(0'(1'(x1758))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1758))))))))))))))))))))))))))))))))), x1758 >= 0
   1'(z) -{ 2 }-> 1'(3'(3'(1'(1'(2'(0'(3'(3'(2'(3'(1'(3'(2'(0'(3'(3'(3'(3'(1'(0'(1'(2'(3'(2'(0'(1'(1'(3'(3'(3'(3'(2'(3'(2'(x1769))))))))))))))))))))))))))))))))))) :|: x1769 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1769)))))))))))))))))))))))))))))))))
   1'(z) -{ 2 }-> 1'(3'(3'(1'(1'(2'(0'(3'(3'(2'(3'(1'(3'(2'(0'(3'(3'(3'(3'(0'(0'(3'(2'(3'(2'(0'(0'(0'(2'(3'(2'(1'(2'(3'(2'(x1768))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1768))))))))))))))))))))))))))))))))), x1768 >= 0
   1'(z) -{ 2 }-> 1'(3'(3'(1'(1'(2'(0'(3'(3'(2'(3'(1'(3'(2'(0'(3'(3'(3'(2'(2'(1'(0'(3'(2'(0'(0'(2'(3'(3'(2'(3'(3'(0'(0'(3'(x1762))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1762))))))))))))))))))))))))))))))))), x1762 >= 0
   1'(z) -{ 2 }-> 1'(3'(3'(1'(1'(2'(0'(3'(3'(2'(3'(1'(3'(2'(0'(3'(3'(3'(2'(1'(1'(1'(1'(1'(0'(3'(2'(2'(2'(1'(2'(3'(1'(1'(1'(x1756))))))))))))))))))))))))))))))))))) :|: x1756 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1756)))))))))))))))))))))))))))))))))
   1'(z) -{ 2 }-> 1'(3'(3'(1'(1'(2'(0'(3'(3'(2'(3'(1'(3'(2'(0'(3'(3'(3'(2'(0'(3'(2'(3'(0'(1'(0'(1'(1'(0'(3'(1'(3'(0'(2'(0'(x1770))))))))))))))))))))))))))))))))))) :|: x1770 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1770)))))))))))))))))))))))))))))))))
   1'(z) -{ 2 }-> 1'(3'(3'(1'(1'(2'(0'(3'(3'(2'(3'(1'(3'(2'(0'(3'(3'(3'(1'(3'(1'(0'(3'(3'(2'(1'(2'(1'(2'(0'(2'(3'(2'(0'(0'(x1765))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1765))))))))))))))))))))))))))))))))), x1765 >= 0
   1'(z) -{ 2 }-> 1'(3'(3'(1'(1'(2'(0'(3'(3'(2'(3'(1'(3'(2'(0'(3'(3'(3'(1'(1'(1'(2'(2'(2'(0'(3'(2'(0'(3'(2'(3'(2'(0'(0'(1'(x1757))))))))))))))))))))))))))))))))))) :|: x1757 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1757)))))))))))))))))))))))))))))))))
   1'(z) -{ 2 }-> 1'(3'(3'(1'(1'(2'(0'(3'(3'(2'(3'(1'(3'(2'(0'(3'(3'(3'(1'(0'(2'(2'(1'(3'(0'(0'(2'(0'(3'(2'(1'(1'(0'(2'(0'(x1764))))))))))))))))))))))))))))))))))) :|: x1764 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1764)))))))))))))))))))))))))))))))))
   1'(z) -{ 2 }-> 1'(3'(3'(1'(1'(2'(0'(3'(3'(2'(3'(1'(3'(2'(0'(3'(3'(3'(0'(2'(2'(3'(2'(0'(1'(3'(1'(0'(2'(1'(3'(3'(2'(0'(3'(x1759))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1759))))))))))))))))))))))))))))))))), x1759 >= 0
   1'(z) -{ 2 }-> 1'(3'(3'(1'(1'(2'(0'(3'(3'(2'(3'(1'(3'(2'(0'(3'(3'(3'(0'(2'(1'(0'(1'(3'(3'(2'(0'(0'(3'(0'(3'(2'(3'(1'(0'(x1760))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1760))))))))))))))))))))))))))))))))), x1760 >= 0
   1'(z) -{ 2 }-> 1'(3'(3'(1'(1'(2'(0'(3'(3'(2'(3'(1'(3'(2'(0'(3'(3'(2'(3'(0'(2'(3'(1'(1'(0'(2'(0'(2'(1'(1'(0'(0'(2'(0'(2'(x1772))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1772))))))))))))))))))))))))))))))))), x1772 >= 0
   1'(z) -{ 2 }-> 1'(3'(3'(1'(1'(2'(0'(3'(3'(2'(3'(1'(3'(2'(0'(3'(3'(1'(3'(3'(2'(0'(0'(0'(1'(3'(3'(2'(0'(1'(1'(2'(1'(2'(3'(x1767))))))))))))))))))))))))))))))))))) :|: x1767 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1767)))))))))))))))))))))))))))))))))
   1'(z) -{ 2 }-> 1'(3'(3'(1'(1'(2'(0'(3'(3'(2'(3'(1'(3'(2'(0'(3'(3'(0'(3'(3'(2'(1'(0'(0'(2'(3'(3'(1'(1'(0'(1'(1'(3'(2'(0'(x1763))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1763))))))))))))))))))))))))))))))))), x1763 >= 0
   1'(z) -{ 2 }-> 1'(3'(3'(1'(1'(2'(0'(3'(3'(2'(3'(1'(3'(2'(0'(3'(3'(0'(2'(1'(3'(3'(3'(2'(1'(1'(0'(1'(3'(3'(2'(1'(1'(3'(3'(x1766))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1766))))))))))))))))))))))))))))))))), x1766 >= 0
   1'(z) -{ 2 }-> 1'(3'(3'(1'(1'(2'(0'(3'(3'(2'(3'(1'(3'(2'(0'(3'(3'(0'(0'(1'(1'(0'(2'(2'(3'(3'(2'(1'(0'(0'(2'(3'(3'(2'(0'(x1761))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1761))))))))))))))))))))))))))))))))), x1761 >= 0
   1'(z) -{ 1 }-> 1'(3'(3'(1'(1'(2'(0'(3'(3'(2'(3'(1'(3'(2'(0'(3'(3'(0))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   1'(z) -{ 1 }-> 1'(3'(3'(1'(1'(2'(0'(3'(3'(2'(3'(1'(3'(2'(0'(3'(3'(1 + x1))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   1'(z) -{ 1 }-> 1'(3'(3'(1'(1'(1'(0'(3'(0'(0'(3'(3'(3'(2'(3'(2'(0'(1'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   1'(z) -{ 1 }-> 1'(3'(2'(3'(0'(2'(3'(3'(3'(0'(0'(2'(0'(1'(3'(2'(1'(0'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   1'(z) -{ 1 }-> 1'(3'(2'(2'(0'(2'(1'(0'(1'(0'(0'(1'(2'(0'(1'(1'(3'(0'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   1'(z) -{ 1 }-> 1'(3'(2'(0'(3'(0'(0'(0'(3'(2'(1'(3'(1'(1'(1'(1'(3'(0'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   1'(z) -{ 1 }-> 1'(3'(0'(2'(3'(3'(3'(1'(1'(0'(3'(3'(3'(0'(1'(1'(0'(1'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   1'(z) -{ 2 }-> 1'(3'(0'(2'(0'(0'(3'(1'(0'(2'(1'(0'(2'(3'(3'(3'(3'(3'(3'(3'(2'(0'(1'(3'(2'(0'(1'(3'(3'(1'(2'(1'(1'(2'(3'(x1193))))))))))))))))))))))))))))))))))) :|: x1193 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1193)))))))))))))))))))))))))))))))))
   1'(z) -{ 2 }-> 1'(3'(0'(2'(0'(0'(3'(1'(0'(2'(1'(0'(2'(3'(3'(3'(3'(3'(3'(1'(0'(3'(3'(1'(3'(3'(3'(3'(1'(1'(1'(1'(2'(0'(1'(x1180))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1180))))))))))))))))))))))))))))))))), x1180 >= 0
   1'(z) -{ 2 }-> 1'(3'(0'(2'(0'(0'(3'(1'(0'(2'(1'(0'(2'(3'(3'(3'(3'(3'(3'(1'(0'(1'(2'(3'(2'(0'(1'(1'(3'(3'(3'(3'(2'(3'(2'(x1191))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1191))))))))))))))))))))))))))))))))), x1191 >= 0
   1'(z) -{ 2 }-> 1'(3'(0'(2'(0'(0'(3'(1'(0'(2'(1'(0'(2'(3'(3'(3'(3'(3'(3'(0'(0'(3'(2'(3'(2'(0'(0'(0'(2'(3'(2'(1'(2'(3'(2'(x1190))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1190))))))))))))))))))))))))))))))))), x1190 >= 0
   1'(z) -{ 2 }-> 1'(3'(0'(2'(0'(0'(3'(1'(0'(2'(1'(0'(2'(3'(3'(3'(3'(3'(2'(2'(1'(0'(3'(2'(0'(0'(2'(3'(3'(2'(3'(3'(0'(0'(3'(x1184))))))))))))))))))))))))))))))))))) :|: x1184 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1184)))))))))))))))))))))))))))))))))
   1'(z) -{ 2 }-> 1'(3'(0'(2'(0'(0'(3'(1'(0'(2'(1'(0'(2'(3'(3'(3'(3'(3'(2'(1'(1'(1'(1'(1'(0'(3'(2'(2'(2'(1'(2'(3'(1'(1'(1'(x1178))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1178))))))))))))))))))))))))))))))))), x1178 >= 0
   1'(z) -{ 2 }-> 1'(3'(0'(2'(0'(0'(3'(1'(0'(2'(1'(0'(2'(3'(3'(3'(3'(3'(2'(0'(3'(2'(3'(0'(1'(0'(1'(1'(0'(3'(1'(3'(0'(2'(0'(x1192))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1192))))))))))))))))))))))))))))))))), x1192 >= 0
   1'(z) -{ 2 }-> 1'(3'(0'(2'(0'(0'(3'(1'(0'(2'(1'(0'(2'(3'(3'(3'(3'(3'(1'(3'(1'(0'(3'(3'(2'(1'(2'(1'(2'(0'(2'(3'(2'(0'(0'(x1187))))))))))))))))))))))))))))))))))) :|: x1187 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1187)))))))))))))))))))))))))))))))))
   1'(z) -{ 2 }-> 1'(3'(0'(2'(0'(0'(3'(1'(0'(2'(1'(0'(2'(3'(3'(3'(3'(3'(1'(1'(1'(2'(2'(2'(0'(3'(2'(0'(3'(2'(3'(2'(0'(0'(1'(x1179))))))))))))))))))))))))))))))))))) :|: x1179 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1179)))))))))))))))))))))))))))))))))
   1'(z) -{ 2 }-> 1'(3'(0'(2'(0'(0'(3'(1'(0'(2'(1'(0'(2'(3'(3'(3'(3'(3'(1'(0'(2'(2'(1'(3'(0'(0'(2'(0'(3'(2'(1'(1'(0'(2'(0'(x1186))))))))))))))))))))))))))))))))))) :|: x1186 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1186)))))))))))))))))))))))))))))))))
   1'(z) -{ 2 }-> 1'(3'(0'(2'(0'(0'(3'(1'(0'(2'(1'(0'(2'(3'(3'(3'(3'(3'(0'(2'(2'(3'(2'(0'(1'(3'(1'(0'(2'(1'(3'(3'(2'(0'(3'(x1181))))))))))))))))))))))))))))))))))) :|: x1181 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1181)))))))))))))))))))))))))))))))))
   1'(z) -{ 2 }-> 1'(3'(0'(2'(0'(0'(3'(1'(0'(2'(1'(0'(2'(3'(3'(3'(3'(3'(0'(2'(1'(0'(1'(3'(3'(2'(0'(0'(3'(0'(3'(2'(3'(1'(0'(x1182))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1182))))))))))))))))))))))))))))))))), x1182 >= 0
   1'(z) -{ 2 }-> 1'(3'(0'(2'(0'(0'(3'(1'(0'(2'(1'(0'(2'(3'(3'(3'(3'(2'(3'(0'(2'(3'(1'(1'(0'(2'(0'(2'(1'(1'(0'(0'(2'(0'(2'(x1194))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1194))))))))))))))))))))))))))))))))), x1194 >= 0
   1'(z) -{ 2 }-> 1'(3'(0'(2'(0'(0'(3'(1'(0'(2'(1'(0'(2'(3'(3'(3'(3'(1'(3'(3'(2'(0'(0'(0'(1'(3'(3'(2'(0'(1'(1'(2'(1'(2'(3'(x1189))))))))))))))))))))))))))))))))))) :|: x1189 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1189)))))))))))))))))))))))))))))))))
   1'(z) -{ 2 }-> 1'(3'(0'(2'(0'(0'(3'(1'(0'(2'(1'(0'(2'(3'(3'(3'(3'(0'(3'(3'(2'(1'(0'(0'(2'(3'(3'(1'(1'(0'(1'(1'(3'(2'(0'(x1185))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1185))))))))))))))))))))))))))))))))), x1185 >= 0
   1'(z) -{ 2 }-> 1'(3'(0'(2'(0'(0'(3'(1'(0'(2'(1'(0'(2'(3'(3'(3'(3'(0'(2'(1'(3'(3'(3'(2'(1'(1'(0'(1'(3'(3'(2'(1'(1'(3'(3'(x1188))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1188))))))))))))))))))))))))))))))))), x1188 >= 0
   1'(z) -{ 2 }-> 1'(3'(0'(2'(0'(0'(3'(1'(0'(2'(1'(0'(2'(3'(3'(3'(3'(0'(0'(1'(1'(0'(2'(2'(3'(3'(2'(1'(0'(0'(2'(3'(3'(2'(0'(x1183))))))))))))))))))))))))))))))))))) :|: x1183 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1183)))))))))))))))))))))))))))))))))
   1'(z) -{ 1 }-> 1'(3'(0'(2'(0'(0'(3'(1'(0'(2'(1'(0'(2'(3'(3'(3'(3'(0))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   1'(z) -{ 1 }-> 1'(3'(0'(2'(0'(0'(3'(1'(0'(2'(1'(0'(2'(3'(3'(3'(3'(1 + x1))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   1'(z) -{ 1 }-> 1'(3'(0'(0'(0'(3'(2'(1'(2'(1'(0'(0'(1'(3'(2'(2'(1'(1'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   1'(z) -{ 1 }-> 1'(2'(1'(2'(1'(2'(2'(1'(1'(1'(1'(0'(3'(3'(3'(0'(3'(2'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   1'(z) -{ 1 }-> 1'(2'(0'(3'(0'(2'(2'(1'(3'(3'(2'(2'(2'(3'(3'(2'(1'(0'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   1'(z) -{ 1 }-> 1'(1'(3'(3'(2'(0'(0'(3'(2'(1'(2'(3'(3'(2'(0'(1'(1'(0'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   1'(z) -{ 1 }-> 1'(1'(3'(2'(1'(3'(3'(0'(2'(0'(3'(3'(1'(1'(3'(2'(0'(1'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   1'(z) -{ 1 }-> 1'(1'(2'(3'(3'(3'(3'(1'(1'(0'(2'(0'(1'(3'(3'(2'(0'(1'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   1'(z) -{ 1 }-> 1'(1'(1'(3'(0'(2'(0'(2'(0'(2'(3'(2'(0'(3'(3'(1'(1'(2'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   1'(z) -{ 1 }-> 1'(1'(1'(0'(1'(0'(1'(0'(1'(0'(0'(2'(0'(1'(3'(3'(2'(2'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   1'(z) -{ 1 }-> 1'(0'(3'(3'(2'(1'(3'(2'(3'(0'(1'(2'(0'(0'(2'(1'(0'(0'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   1'(z) -{ 2 }-> 1'(0'(3'(2'(1'(0'(3'(3'(1'(0'(2'(2'(0'(1'(0'(2'(1'(3'(3'(3'(2'(0'(1'(3'(2'(0'(1'(3'(3'(1'(2'(1'(1'(2'(3'(x1910))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1910))))))))))))))))))))))))))))))))), x1910 >= 0
   1'(z) -{ 2 }-> 1'(0'(3'(2'(1'(0'(3'(3'(1'(0'(2'(2'(0'(1'(0'(2'(1'(3'(3'(1'(0'(3'(3'(1'(3'(3'(3'(3'(1'(1'(1'(1'(2'(0'(1'(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 + x1897))))))))))))))))))))))))))))))))), x1897 >= 0
   1'(z) -{ 2 }-> 1'(0'(3'(2'(1'(0'(3'(3'(1'(0'(2'(2'(0'(1'(0'(2'(1'(3'(3'(1'(0'(1'(2'(3'(2'(0'(1'(1'(3'(3'(3'(3'(2'(3'(2'(x1908))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1908))))))))))))))))))))))))))))))))), x1908 >= 0
   1'(z) -{ 2 }-> 1'(0'(3'(2'(1'(0'(3'(3'(1'(0'(2'(2'(0'(1'(0'(2'(1'(3'(3'(0'(0'(3'(2'(3'(2'(0'(0'(0'(2'(3'(2'(1'(2'(3'(2'(x1907))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1907))))))))))))))))))))))))))))))))), x1907 >= 0
   1'(z) -{ 2 }-> 1'(0'(3'(2'(1'(0'(3'(3'(1'(0'(2'(2'(0'(1'(0'(2'(1'(3'(2'(2'(1'(0'(3'(2'(0'(0'(2'(3'(3'(2'(3'(3'(0'(0'(3'(x1901))))))))))))))))))))))))))))))))))) :|: x1901 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (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)))))))))))))))))))))))))))))))))
   1'(z) -{ 2 }-> 1'(0'(3'(2'(1'(0'(3'(3'(1'(0'(2'(2'(0'(1'(0'(2'(1'(3'(2'(1'(1'(1'(1'(1'(0'(3'(2'(2'(2'(1'(2'(3'(1'(1'(1'(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 + x1895))))))))))))))))))))))))))))))))), x1895 >= 0
   1'(z) -{ 2 }-> 1'(0'(3'(2'(1'(0'(3'(3'(1'(0'(2'(2'(0'(1'(0'(2'(1'(3'(2'(0'(3'(2'(3'(0'(1'(0'(1'(1'(0'(3'(1'(3'(0'(2'(0'(x1909))))))))))))))))))))))))))))))))))) :|: x1909 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1909)))))))))))))))))))))))))))))))))
   1'(z) -{ 2 }-> 1'(0'(3'(2'(1'(0'(3'(3'(1'(0'(2'(2'(0'(1'(0'(2'(1'(3'(1'(3'(1'(0'(3'(3'(2'(1'(2'(1'(2'(0'(2'(3'(2'(0'(0'(x1904))))))))))))))))))))))))))))))))))) :|: x1904 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1904)))))))))))))))))))))))))))))))))
   1'(z) -{ 2 }-> 1'(0'(3'(2'(1'(0'(3'(3'(1'(0'(2'(2'(0'(1'(0'(2'(1'(3'(1'(1'(1'(2'(2'(2'(0'(3'(2'(0'(3'(2'(3'(2'(0'(0'(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 + x1896))))))))))))))))))))))))))))))))), x1896 >= 0
   1'(z) -{ 2 }-> 1'(0'(3'(2'(1'(0'(3'(3'(1'(0'(2'(2'(0'(1'(0'(2'(1'(3'(1'(0'(2'(2'(1'(3'(0'(0'(2'(0'(3'(2'(1'(1'(0'(2'(0'(x1903))))))))))))))))))))))))))))))))))) :|: x1903 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1903)))))))))))))))))))))))))))))))))
   1'(z) -{ 2 }-> 1'(0'(3'(2'(1'(0'(3'(3'(1'(0'(2'(2'(0'(1'(0'(2'(1'(3'(0'(2'(2'(3'(2'(0'(1'(3'(1'(0'(2'(1'(3'(3'(2'(0'(3'(x1898))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (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))))))))))))))))))))))))))))))))), x1898 >= 0
   1'(z) -{ 2 }-> 1'(0'(3'(2'(1'(0'(3'(3'(1'(0'(2'(2'(0'(1'(0'(2'(1'(3'(0'(2'(1'(0'(1'(3'(3'(2'(0'(0'(3'(0'(3'(2'(3'(1'(0'(x1899))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (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))))))))))))))))))))))))))))))))), x1899 >= 0
   1'(z) -{ 2 }-> 1'(0'(3'(2'(1'(0'(3'(3'(1'(0'(2'(2'(0'(1'(0'(2'(1'(2'(3'(0'(2'(3'(1'(1'(0'(2'(0'(2'(1'(1'(0'(0'(2'(0'(2'(x1911))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1911))))))))))))))))))))))))))))))))), x1911 >= 0
   1'(z) -{ 2 }-> 1'(0'(3'(2'(1'(0'(3'(3'(1'(0'(2'(2'(0'(1'(0'(2'(1'(1'(3'(3'(2'(0'(0'(0'(1'(3'(3'(2'(0'(1'(1'(2'(1'(2'(3'(x1906))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1906))))))))))))))))))))))))))))))))), x1906 >= 0
   1'(z) -{ 2 }-> 1'(0'(3'(2'(1'(0'(3'(3'(1'(0'(2'(2'(0'(1'(0'(2'(1'(0'(3'(3'(2'(1'(0'(0'(2'(3'(3'(1'(1'(0'(1'(1'(3'(2'(0'(x1902))))))))))))))))))))))))))))))))))) :|: x1902 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1902)))))))))))))))))))))))))))))))))
   1'(z) -{ 2 }-> 1'(0'(3'(2'(1'(0'(3'(3'(1'(0'(2'(2'(0'(1'(0'(2'(1'(0'(2'(1'(3'(3'(3'(2'(1'(1'(0'(1'(3'(3'(2'(1'(1'(3'(3'(x1905))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1905))))))))))))))))))))))))))))))))), x1905 >= 0
   1'(z) -{ 2 }-> 1'(0'(3'(2'(1'(0'(3'(3'(1'(0'(2'(2'(0'(1'(0'(2'(1'(0'(0'(1'(1'(0'(2'(2'(3'(3'(2'(1'(0'(0'(2'(3'(3'(2'(0'(x1900))))))))))))))))))))))))))))))))))) :|: x1900 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (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)))))))))))))))))))))))))))))))))
   1'(z) -{ 1 }-> 1'(0'(3'(2'(1'(0'(3'(3'(1'(0'(2'(2'(0'(1'(0'(2'(1'(0))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   1'(z) -{ 1 }-> 1'(0'(3'(2'(1'(0'(3'(3'(1'(0'(2'(2'(0'(1'(0'(2'(1'(1 + x1))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   1'(z) -{ 1 }-> 1'(0'(1'(3'(2'(2'(0'(2'(1'(2'(1'(3'(2'(0'(2'(3'(0'(2'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   1'(z) -{ 2 }-> 1'(0'(1'(1'(0'(3'(1'(3'(3'(1'(1'(3'(2'(1'(1'(1'(1'(3'(3'(3'(2'(0'(1'(3'(2'(0'(1'(3'(3'(1'(2'(1'(1'(2'(3'(x1559))))))))))))))))))))))))))))))))))) :|: x1559 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1559)))))))))))))))))))))))))))))))))
   1'(z) -{ 2 }-> 1'(0'(1'(1'(0'(3'(1'(3'(3'(1'(1'(3'(2'(1'(1'(1'(1'(3'(3'(1'(0'(3'(3'(1'(3'(3'(3'(3'(1'(1'(1'(1'(2'(0'(1'(x1546))))))))))))))))))))))))))))))))))) :|: x1546 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1546)))))))))))))))))))))))))))))))))
   1'(z) -{ 2 }-> 1'(0'(1'(1'(0'(3'(1'(3'(3'(1'(1'(3'(2'(1'(1'(1'(1'(3'(3'(1'(0'(1'(2'(3'(2'(0'(1'(1'(3'(3'(3'(3'(2'(3'(2'(x1557))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1557))))))))))))))))))))))))))))))))), x1557 >= 0
   1'(z) -{ 2 }-> 1'(0'(1'(1'(0'(3'(1'(3'(3'(1'(1'(3'(2'(1'(1'(1'(1'(3'(3'(0'(0'(3'(2'(3'(2'(0'(0'(0'(2'(3'(2'(1'(2'(3'(2'(x1556))))))))))))))))))))))))))))))))))) :|: x1556 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1556)))))))))))))))))))))))))))))))))
   1'(z) -{ 2 }-> 1'(0'(1'(1'(0'(3'(1'(3'(3'(1'(1'(3'(2'(1'(1'(1'(1'(3'(2'(2'(1'(0'(3'(2'(0'(0'(2'(3'(3'(2'(3'(3'(0'(0'(3'(x1550))))))))))))))))))))))))))))))))))) :|: x1550 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1550)))))))))))))))))))))))))))))))))
   1'(z) -{ 2 }-> 1'(0'(1'(1'(0'(3'(1'(3'(3'(1'(1'(3'(2'(1'(1'(1'(1'(3'(2'(1'(1'(1'(1'(1'(0'(3'(2'(2'(2'(1'(2'(3'(1'(1'(1'(x1544))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1544))))))))))))))))))))))))))))))))), x1544 >= 0
   1'(z) -{ 2 }-> 1'(0'(1'(1'(0'(3'(1'(3'(3'(1'(1'(3'(2'(1'(1'(1'(1'(3'(2'(0'(3'(2'(3'(0'(1'(0'(1'(1'(0'(3'(1'(3'(0'(2'(0'(x1558))))))))))))))))))))))))))))))))))) :|: x1558 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1558)))))))))))))))))))))))))))))))))
   1'(z) -{ 2 }-> 1'(0'(1'(1'(0'(3'(1'(3'(3'(1'(1'(3'(2'(1'(1'(1'(1'(3'(1'(3'(1'(0'(3'(3'(2'(1'(2'(1'(2'(0'(2'(3'(2'(0'(0'(x1553))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1553))))))))))))))))))))))))))))))))), x1553 >= 0
   1'(z) -{ 2 }-> 1'(0'(1'(1'(0'(3'(1'(3'(3'(1'(1'(3'(2'(1'(1'(1'(1'(3'(1'(1'(1'(2'(2'(2'(0'(3'(2'(0'(3'(2'(3'(2'(0'(0'(1'(x1545))))))))))))))))))))))))))))))))))) :|: x1545 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1545)))))))))))))))))))))))))))))))))
   1'(z) -{ 2 }-> 1'(0'(1'(1'(0'(3'(1'(3'(3'(1'(1'(3'(2'(1'(1'(1'(1'(3'(1'(0'(2'(2'(1'(3'(0'(0'(2'(0'(3'(2'(1'(1'(0'(2'(0'(x1552))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1552))))))))))))))))))))))))))))))))), x1552 >= 0
   1'(z) -{ 2 }-> 1'(0'(1'(1'(0'(3'(1'(3'(3'(1'(1'(3'(2'(1'(1'(1'(1'(3'(0'(2'(2'(3'(2'(0'(1'(3'(1'(0'(2'(1'(3'(3'(2'(0'(3'(x1547))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1547))))))))))))))))))))))))))))))))), x1547 >= 0
   1'(z) -{ 2 }-> 1'(0'(1'(1'(0'(3'(1'(3'(3'(1'(1'(3'(2'(1'(1'(1'(1'(3'(0'(2'(1'(0'(1'(3'(3'(2'(0'(0'(3'(0'(3'(2'(3'(1'(0'(x1548))))))))))))))))))))))))))))))))))) :|: x1548 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1548)))))))))))))))))))))))))))))))))
   1'(z) -{ 2 }-> 1'(0'(1'(1'(0'(3'(1'(3'(3'(1'(1'(3'(2'(1'(1'(1'(1'(2'(3'(0'(2'(3'(1'(1'(0'(2'(0'(2'(1'(1'(0'(0'(2'(0'(2'(x1560))))))))))))))))))))))))))))))))))) :|: x1560 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1560)))))))))))))))))))))))))))))))))
   1'(z) -{ 2 }-> 1'(0'(1'(1'(0'(3'(1'(3'(3'(1'(1'(3'(2'(1'(1'(1'(1'(1'(3'(3'(2'(0'(0'(0'(1'(3'(3'(2'(0'(1'(1'(2'(1'(2'(3'(x1555))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1555))))))))))))))))))))))))))))))))), x1555 >= 0
   1'(z) -{ 2 }-> 1'(0'(1'(1'(0'(3'(1'(3'(3'(1'(1'(3'(2'(1'(1'(1'(1'(0'(3'(3'(2'(1'(0'(0'(2'(3'(3'(1'(1'(0'(1'(1'(3'(2'(0'(x1551))))))))))))))))))))))))))))))))))) :|: x1551 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1551)))))))))))))))))))))))))))))))))
   1'(z) -{ 2 }-> 1'(0'(1'(1'(0'(3'(1'(3'(3'(1'(1'(3'(2'(1'(1'(1'(1'(0'(2'(1'(3'(3'(3'(2'(1'(1'(0'(1'(3'(3'(2'(1'(1'(3'(3'(x1554))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1554))))))))))))))))))))))))))))))))), x1554 >= 0
   1'(z) -{ 2 }-> 1'(0'(1'(1'(0'(3'(1'(3'(3'(1'(1'(3'(2'(1'(1'(1'(1'(0'(0'(1'(1'(0'(2'(2'(3'(3'(2'(1'(0'(0'(2'(3'(3'(2'(0'(x1549))))))))))))))))))))))))))))))))))) :|: x1549 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1549)))))))))))))))))))))))))))))))))
   1'(z) -{ 1 }-> 1'(0'(1'(1'(0'(3'(1'(3'(3'(1'(1'(3'(2'(1'(1'(1'(1'(0))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   1'(z) -{ 1 }-> 1'(0'(1'(1'(0'(3'(1'(3'(3'(1'(1'(3'(2'(1'(1'(1'(1'(1 + x1))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   1'(z) -{ 2 }-> 1'(0'(1'(0'(2'(3'(0'(3'(0'(3'(0'(3'(3'(1'(0'(2'(1'(3'(3'(3'(2'(0'(1'(3'(2'(0'(1'(3'(3'(1'(2'(1'(1'(2'(3'(x11097))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11097))))))))))))))))))))))))))))))))), x11097 >= 0
   1'(z) -{ 2 }-> 1'(0'(1'(0'(2'(3'(0'(3'(0'(3'(0'(3'(3'(1'(0'(2'(1'(3'(3'(1'(0'(3'(3'(1'(3'(3'(3'(3'(1'(1'(1'(1'(2'(0'(1'(x11084))))))))))))))))))))))))))))))))))) :|: x11084 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11084)))))))))))))))))))))))))))))))))
   1'(z) -{ 2 }-> 1'(0'(1'(0'(2'(3'(0'(3'(0'(3'(0'(3'(3'(1'(0'(2'(1'(3'(3'(1'(0'(1'(2'(3'(2'(0'(1'(1'(3'(3'(3'(3'(2'(3'(2'(x11095))))))))))))))))))))))))))))))))))) :|: x11095 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11095)))))))))))))))))))))))))))))))))
   1'(z) -{ 2 }-> 1'(0'(1'(0'(2'(3'(0'(3'(0'(3'(0'(3'(3'(1'(0'(2'(1'(3'(3'(0'(0'(3'(2'(3'(2'(0'(0'(0'(2'(3'(2'(1'(2'(3'(2'(x11094))))))))))))))))))))))))))))))))))) :|: x11094 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11094)))))))))))))))))))))))))))))))))
   1'(z) -{ 2 }-> 1'(0'(1'(0'(2'(3'(0'(3'(0'(3'(0'(3'(3'(1'(0'(2'(1'(3'(2'(2'(1'(0'(3'(2'(0'(0'(2'(3'(3'(2'(3'(3'(0'(0'(3'(x11088))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11088))))))))))))))))))))))))))))))))), x11088 >= 0
   1'(z) -{ 2 }-> 1'(0'(1'(0'(2'(3'(0'(3'(0'(3'(0'(3'(3'(1'(0'(2'(1'(3'(2'(1'(1'(1'(1'(1'(0'(3'(2'(2'(2'(1'(2'(3'(1'(1'(1'(x11082))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11082))))))))))))))))))))))))))))))))), x11082 >= 0
   1'(z) -{ 2 }-> 1'(0'(1'(0'(2'(3'(0'(3'(0'(3'(0'(3'(3'(1'(0'(2'(1'(3'(2'(0'(3'(2'(3'(0'(1'(0'(1'(1'(0'(3'(1'(3'(0'(2'(0'(x11096))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11096))))))))))))))))))))))))))))))))), x11096 >= 0
   1'(z) -{ 2 }-> 1'(0'(1'(0'(2'(3'(0'(3'(0'(3'(0'(3'(3'(1'(0'(2'(1'(3'(1'(3'(1'(0'(3'(3'(2'(1'(2'(1'(2'(0'(2'(3'(2'(0'(0'(x11091))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11091))))))))))))))))))))))))))))))))), x11091 >= 0
   1'(z) -{ 2 }-> 1'(0'(1'(0'(2'(3'(0'(3'(0'(3'(0'(3'(3'(1'(0'(2'(1'(3'(1'(1'(1'(2'(2'(2'(0'(3'(2'(0'(3'(2'(3'(2'(0'(0'(1'(x11083))))))))))))))))))))))))))))))))))) :|: x11083 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11083)))))))))))))))))))))))))))))))))
   1'(z) -{ 2 }-> 1'(0'(1'(0'(2'(3'(0'(3'(0'(3'(0'(3'(3'(1'(0'(2'(1'(3'(1'(0'(2'(2'(1'(3'(0'(0'(2'(0'(3'(2'(1'(1'(0'(2'(0'(x11090))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11090))))))))))))))))))))))))))))))))), x11090 >= 0
   1'(z) -{ 2 }-> 1'(0'(1'(0'(2'(3'(0'(3'(0'(3'(0'(3'(3'(1'(0'(2'(1'(3'(0'(2'(2'(3'(2'(0'(1'(3'(1'(0'(2'(1'(3'(3'(2'(0'(3'(x11085))))))))))))))))))))))))))))))))))) :|: x11085 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11085)))))))))))))))))))))))))))))))))
   1'(z) -{ 2 }-> 1'(0'(1'(0'(2'(3'(0'(3'(0'(3'(0'(3'(3'(1'(0'(2'(1'(3'(0'(2'(1'(0'(1'(3'(3'(2'(0'(0'(3'(0'(3'(2'(3'(1'(0'(x11086))))))))))))))))))))))))))))))))))) :|: x11086 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11086)))))))))))))))))))))))))))))))))
   1'(z) -{ 2 }-> 1'(0'(1'(0'(2'(3'(0'(3'(0'(3'(0'(3'(3'(1'(0'(2'(1'(2'(3'(0'(2'(3'(1'(1'(0'(2'(0'(2'(1'(1'(0'(0'(2'(0'(2'(x11098))))))))))))))))))))))))))))))))))) :|: x11098 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11098)))))))))))))))))))))))))))))))))
   1'(z) -{ 2 }-> 1'(0'(1'(0'(2'(3'(0'(3'(0'(3'(0'(3'(3'(1'(0'(2'(1'(1'(3'(3'(2'(0'(0'(0'(1'(3'(3'(2'(0'(1'(1'(2'(1'(2'(3'(x11093))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11093))))))))))))))))))))))))))))))))), x11093 >= 0
   1'(z) -{ 2 }-> 1'(0'(1'(0'(2'(3'(0'(3'(0'(3'(0'(3'(3'(1'(0'(2'(1'(0'(3'(3'(2'(1'(0'(0'(2'(3'(3'(1'(1'(0'(1'(1'(3'(2'(0'(x11089))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11089))))))))))))))))))))))))))))))))), x11089 >= 0
   1'(z) -{ 2 }-> 1'(0'(1'(0'(2'(3'(0'(3'(0'(3'(0'(3'(3'(1'(0'(2'(1'(0'(2'(1'(3'(3'(3'(2'(1'(1'(0'(1'(3'(3'(2'(1'(1'(3'(3'(x11092))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11092))))))))))))))))))))))))))))))))), x11092 >= 0
   1'(z) -{ 2 }-> 1'(0'(1'(0'(2'(3'(0'(3'(0'(3'(0'(3'(3'(1'(0'(2'(1'(0'(0'(1'(1'(0'(2'(2'(3'(3'(2'(1'(0'(0'(2'(3'(3'(2'(0'(x11087))))))))))))))))))))))))))))))))))) :|: x11087 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11087)))))))))))))))))))))))))))))))))
   1'(z) -{ 1 }-> 1'(0'(1'(0'(2'(3'(0'(3'(0'(3'(0'(3'(3'(1'(0'(2'(1'(0))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   1'(z) -{ 1 }-> 1'(0'(1'(0'(2'(3'(0'(3'(0'(3'(0'(3'(3'(1'(0'(2'(1'(1 + x1))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   1'(z) -{ 0 }-> 0 :|: v0 >= 0, z = v0
   1'(z) -{ 0 }-> 1 + x0 :|: z = x0, x0 >= 0
   2'(z) -{ 1 }-> 2'(3'(3'(2'(3'(2'(0'(2'(2'(0'(0'(3'(2'(0'(2'(2'(3'(2'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   2'(z) -{ 1 }-> 2'(3'(3'(2'(0'(2'(1'(0'(3'(3'(0'(3'(1'(0'(1'(2'(3'(1'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   2'(z) -{ 1 }-> 2'(2'(3'(0'(2'(0'(0'(2'(0'(3'(3'(2'(3'(3'(2'(0'(0'(0'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   2'(z) -{ 2 }-> 2'(2'(2'(2'(1'(3'(0'(2'(0'(3'(2'(1'(0'(1'(0'(3'(2'(3'(3'(3'(2'(0'(1'(3'(2'(0'(1'(3'(3'(1'(2'(1'(1'(2'(3'(x137))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (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))))))))))))))))))))))))))))))))), x137 >= 0
   2'(z) -{ 2 }-> 2'(2'(2'(2'(1'(3'(0'(2'(0'(3'(2'(1'(0'(1'(0'(3'(2'(3'(3'(1'(0'(3'(3'(1'(3'(3'(3'(3'(1'(1'(1'(1'(2'(0'(1'(x124))))))))))))))))))))))))))))))))))) :|: x124 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x124)))))))))))))))))))))))))))))))))
   2'(z) -{ 2 }-> 2'(2'(2'(2'(1'(3'(0'(2'(0'(3'(2'(1'(0'(1'(0'(3'(2'(3'(3'(1'(0'(1'(2'(3'(2'(0'(1'(1'(3'(3'(3'(3'(2'(3'(2'(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 + x135)))))))))))))))))))))))))))))))))
   2'(z) -{ 2 }-> 2'(2'(2'(2'(1'(3'(0'(2'(0'(3'(2'(1'(0'(1'(0'(3'(2'(3'(3'(0'(0'(3'(2'(3'(2'(0'(0'(0'(2'(3'(2'(1'(2'(3'(2'(x134))))))))))))))))))))))))))))))))))) :|: x134 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (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)))))))))))))))))))))))))))))))))
   2'(z) -{ 2 }-> 2'(2'(2'(2'(1'(3'(0'(2'(0'(3'(2'(1'(0'(1'(0'(3'(2'(3'(2'(2'(1'(0'(3'(2'(0'(0'(2'(3'(3'(2'(3'(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 + x128))))))))))))))))))))))))))))))))), x128 >= 0
   2'(z) -{ 2 }-> 2'(2'(2'(2'(1'(3'(0'(2'(0'(3'(2'(1'(0'(1'(0'(3'(2'(3'(2'(1'(1'(1'(1'(1'(0'(3'(2'(2'(2'(1'(2'(3'(1'(1'(1'(x122))))))))))))))))))))))))))))))))))) :|: x122 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x122)))))))))))))))))))))))))))))))))
   2'(z) -{ 2 }-> 2'(2'(2'(2'(1'(3'(0'(2'(0'(3'(2'(1'(0'(1'(0'(3'(2'(3'(2'(0'(3'(2'(3'(0'(1'(0'(1'(1'(0'(3'(1'(3'(0'(2'(0'(x136))))))))))))))))))))))))))))))))))) :|: x136 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (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)))))))))))))))))))))))))))))))))
   2'(z) -{ 2 }-> 2'(2'(2'(2'(1'(3'(0'(2'(0'(3'(2'(1'(0'(1'(0'(3'(2'(3'(1'(3'(1'(0'(3'(3'(2'(1'(2'(1'(2'(0'(2'(3'(2'(0'(0'(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 + x131))))))))))))))))))))))))))))))))), x131 >= 0
   2'(z) -{ 2 }-> 2'(2'(2'(2'(1'(3'(0'(2'(0'(3'(2'(1'(0'(1'(0'(3'(2'(3'(1'(1'(1'(2'(2'(2'(0'(3'(2'(0'(3'(2'(3'(2'(0'(0'(1'(x123))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x123))))))))))))))))))))))))))))))))), x123 >= 0
   2'(z) -{ 2 }-> 2'(2'(2'(2'(1'(3'(0'(2'(0'(3'(2'(1'(0'(1'(0'(3'(2'(3'(1'(0'(2'(2'(1'(3'(0'(0'(2'(0'(3'(2'(1'(1'(0'(2'(0'(x130))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (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))))))))))))))))))))))))))))))))), x130 >= 0
   2'(z) -{ 2 }-> 2'(2'(2'(2'(1'(3'(0'(2'(0'(3'(2'(1'(0'(1'(0'(3'(2'(3'(0'(2'(2'(3'(2'(0'(1'(3'(1'(0'(2'(1'(3'(3'(2'(0'(3'(x125))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x125))))))))))))))))))))))))))))))))), x125 >= 0
   2'(z) -{ 2 }-> 2'(2'(2'(2'(1'(3'(0'(2'(0'(3'(2'(1'(0'(1'(0'(3'(2'(3'(0'(2'(1'(0'(1'(3'(3'(2'(0'(0'(3'(0'(3'(2'(3'(1'(0'(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 + x126))))))))))))))))))))))))))))))))), x126 >= 0
   2'(z) -{ 2 }-> 2'(2'(2'(2'(1'(3'(0'(2'(0'(3'(2'(1'(0'(1'(0'(3'(2'(2'(3'(0'(2'(3'(1'(1'(0'(2'(0'(2'(1'(1'(0'(0'(2'(0'(2'(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 + x138))))))))))))))))))))))))))))))))), x138 >= 0
   2'(z) -{ 2 }-> 2'(2'(2'(2'(1'(3'(0'(2'(0'(3'(2'(1'(0'(1'(0'(3'(2'(1'(3'(3'(2'(0'(0'(0'(1'(3'(3'(2'(0'(1'(1'(2'(1'(2'(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 + x133))))))))))))))))))))))))))))))))), x133 >= 0
   2'(z) -{ 2 }-> 2'(2'(2'(2'(1'(3'(0'(2'(0'(3'(2'(1'(0'(1'(0'(3'(2'(0'(3'(3'(2'(1'(0'(0'(2'(3'(3'(1'(1'(0'(1'(1'(3'(2'(0'(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 + x129))))))))))))))))))))))))))))))))), x129 >= 0
   2'(z) -{ 2 }-> 2'(2'(2'(2'(1'(3'(0'(2'(0'(3'(2'(1'(0'(1'(0'(3'(2'(0'(2'(1'(3'(3'(3'(2'(1'(1'(0'(1'(3'(3'(2'(1'(1'(3'(3'(x132))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (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))))))))))))))))))))))))))))))))), x132 >= 0
   2'(z) -{ 2 }-> 2'(2'(2'(2'(1'(3'(0'(2'(0'(3'(2'(1'(0'(1'(0'(3'(2'(0'(0'(1'(1'(0'(2'(2'(3'(3'(2'(1'(0'(0'(2'(3'(3'(2'(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 + x127))))))))))))))))))))))))))))))))), x127 >= 0
   2'(z) -{ 1 }-> 2'(2'(2'(2'(1'(3'(0'(2'(0'(3'(2'(1'(0'(1'(0'(3'(2'(0))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   2'(z) -{ 1 }-> 2'(2'(2'(2'(1'(3'(0'(2'(0'(3'(2'(1'(0'(1'(0'(3'(2'(1 + x1))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   2'(z) -{ 1 }-> 2'(2'(0'(0'(3'(3'(2'(3'(2'(3'(2'(0'(2'(0'(0'(0'(1'(2'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   2'(z) -{ 2 }-> 2'(1'(3'(2'(0'(3'(3'(0'(2'(1'(1'(3'(2'(0'(3'(2'(2'(3'(3'(3'(2'(0'(1'(3'(2'(0'(1'(3'(3'(1'(2'(1'(1'(2'(3'(x1525))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1525))))))))))))))))))))))))))))))))), x1525 >= 0
   2'(z) -{ 2 }-> 2'(1'(3'(2'(0'(3'(3'(0'(2'(1'(1'(3'(2'(0'(3'(2'(2'(3'(3'(1'(0'(3'(3'(1'(3'(3'(3'(3'(1'(1'(1'(1'(2'(0'(1'(x1512))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1512))))))))))))))))))))))))))))))))), x1512 >= 0
   2'(z) -{ 2 }-> 2'(1'(3'(2'(0'(3'(3'(0'(2'(1'(1'(3'(2'(0'(3'(2'(2'(3'(3'(1'(0'(1'(2'(3'(2'(0'(1'(1'(3'(3'(3'(3'(2'(3'(2'(x1523))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1523))))))))))))))))))))))))))))))))), x1523 >= 0
   2'(z) -{ 2 }-> 2'(1'(3'(2'(0'(3'(3'(0'(2'(1'(1'(3'(2'(0'(3'(2'(2'(3'(3'(0'(0'(3'(2'(3'(2'(0'(0'(0'(2'(3'(2'(1'(2'(3'(2'(x1522))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1522))))))))))))))))))))))))))))))))), x1522 >= 0
   2'(z) -{ 2 }-> 2'(1'(3'(2'(0'(3'(3'(0'(2'(1'(1'(3'(2'(0'(3'(2'(2'(3'(2'(2'(1'(0'(3'(2'(0'(0'(2'(3'(3'(2'(3'(3'(0'(0'(3'(x1516))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1516))))))))))))))))))))))))))))))))), x1516 >= 0
   2'(z) -{ 2 }-> 2'(1'(3'(2'(0'(3'(3'(0'(2'(1'(1'(3'(2'(0'(3'(2'(2'(3'(2'(1'(1'(1'(1'(1'(0'(3'(2'(2'(2'(1'(2'(3'(1'(1'(1'(x1510))))))))))))))))))))))))))))))))))) :|: x1510 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1510)))))))))))))))))))))))))))))))))
   2'(z) -{ 2 }-> 2'(1'(3'(2'(0'(3'(3'(0'(2'(1'(1'(3'(2'(0'(3'(2'(2'(3'(2'(0'(3'(2'(3'(0'(1'(0'(1'(1'(0'(3'(1'(3'(0'(2'(0'(x1524))))))))))))))))))))))))))))))))))) :|: x1524 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1524)))))))))))))))))))))))))))))))))
   2'(z) -{ 2 }-> 2'(1'(3'(2'(0'(3'(3'(0'(2'(1'(1'(3'(2'(0'(3'(2'(2'(3'(1'(3'(1'(0'(3'(3'(2'(1'(2'(1'(2'(0'(2'(3'(2'(0'(0'(x1519))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1519))))))))))))))))))))))))))))))))), x1519 >= 0
   2'(z) -{ 2 }-> 2'(1'(3'(2'(0'(3'(3'(0'(2'(1'(1'(3'(2'(0'(3'(2'(2'(3'(1'(1'(1'(2'(2'(2'(0'(3'(2'(0'(3'(2'(3'(2'(0'(0'(1'(x1511))))))))))))))))))))))))))))))))))) :|: x1511 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1511)))))))))))))))))))))))))))))))))
   2'(z) -{ 2 }-> 2'(1'(3'(2'(0'(3'(3'(0'(2'(1'(1'(3'(2'(0'(3'(2'(2'(3'(1'(0'(2'(2'(1'(3'(0'(0'(2'(0'(3'(2'(1'(1'(0'(2'(0'(x1518))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1518))))))))))))))))))))))))))))))))), x1518 >= 0
   2'(z) -{ 2 }-> 2'(1'(3'(2'(0'(3'(3'(0'(2'(1'(1'(3'(2'(0'(3'(2'(2'(3'(0'(2'(2'(3'(2'(0'(1'(3'(1'(0'(2'(1'(3'(3'(2'(0'(3'(x1513))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1513))))))))))))))))))))))))))))))))), x1513 >= 0
   2'(z) -{ 2 }-> 2'(1'(3'(2'(0'(3'(3'(0'(2'(1'(1'(3'(2'(0'(3'(2'(2'(3'(0'(2'(1'(0'(1'(3'(3'(2'(0'(0'(3'(0'(3'(2'(3'(1'(0'(x1514))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1514))))))))))))))))))))))))))))))))), x1514 >= 0
   2'(z) -{ 2 }-> 2'(1'(3'(2'(0'(3'(3'(0'(2'(1'(1'(3'(2'(0'(3'(2'(2'(2'(3'(0'(2'(3'(1'(1'(0'(2'(0'(2'(1'(1'(0'(0'(2'(0'(2'(x1526))))))))))))))))))))))))))))))))))) :|: x1526 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1526)))))))))))))))))))))))))))))))))
   2'(z) -{ 2 }-> 2'(1'(3'(2'(0'(3'(3'(0'(2'(1'(1'(3'(2'(0'(3'(2'(2'(1'(3'(3'(2'(0'(0'(0'(1'(3'(3'(2'(0'(1'(1'(2'(1'(2'(3'(x1521))))))))))))))))))))))))))))))))))) :|: x1521 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1521)))))))))))))))))))))))))))))))))
   2'(z) -{ 2 }-> 2'(1'(3'(2'(0'(3'(3'(0'(2'(1'(1'(3'(2'(0'(3'(2'(2'(0'(3'(3'(2'(1'(0'(0'(2'(3'(3'(1'(1'(0'(1'(1'(3'(2'(0'(x1517))))))))))))))))))))))))))))))))))) :|: x1517 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1517)))))))))))))))))))))))))))))))))
   2'(z) -{ 2 }-> 2'(1'(3'(2'(0'(3'(3'(0'(2'(1'(1'(3'(2'(0'(3'(2'(2'(0'(2'(1'(3'(3'(3'(2'(1'(1'(0'(1'(3'(3'(2'(1'(1'(3'(3'(x1520))))))))))))))))))))))))))))))))))) :|: x1520 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1520)))))))))))))))))))))))))))))))))
   2'(z) -{ 2 }-> 2'(1'(3'(2'(0'(3'(3'(0'(2'(1'(1'(3'(2'(0'(3'(2'(2'(0'(0'(1'(1'(0'(2'(2'(3'(3'(2'(1'(0'(0'(2'(3'(3'(2'(0'(x1515))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1515))))))))))))))))))))))))))))))))), x1515 >= 0
   2'(z) -{ 1 }-> 2'(1'(3'(2'(0'(3'(3'(0'(2'(1'(1'(3'(2'(0'(3'(2'(2'(0))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   2'(z) -{ 1 }-> 2'(1'(3'(2'(0'(3'(3'(0'(2'(1'(1'(3'(2'(0'(3'(2'(2'(1 + x1))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   2'(z) -{ 1 }-> 2'(1'(2'(3'(1'(0'(1'(0'(0'(2'(1'(1'(3'(2'(0'(2'(1'(2'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   2'(z) -{ 2 }-> 2'(1'(2'(2'(3'(3'(2'(2'(0'(1'(0'(2'(2'(3'(1'(0'(2'(3'(3'(3'(2'(0'(1'(3'(2'(0'(1'(3'(3'(1'(2'(1'(1'(2'(3'(x11057))))))))))))))))))))))))))))))))))) :|: x11057 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (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)))))))))))))))))))))))))))))))))
   2'(z) -{ 2 }-> 2'(1'(2'(2'(3'(3'(2'(2'(0'(1'(0'(2'(2'(3'(1'(0'(2'(3'(3'(1'(0'(3'(3'(1'(3'(3'(3'(3'(1'(1'(1'(1'(2'(0'(1'(x11044))))))))))))))))))))))))))))))))))) :|: x11044 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (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)))))))))))))))))))))))))))))))))
   2'(z) -{ 2 }-> 2'(1'(2'(2'(3'(3'(2'(2'(0'(1'(0'(2'(2'(3'(1'(0'(2'(3'(3'(1'(0'(1'(2'(3'(2'(0'(1'(1'(3'(3'(3'(3'(2'(3'(2'(x11055))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (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))))))))))))))))))))))))))))))))), x11055 >= 0
   2'(z) -{ 2 }-> 2'(1'(2'(2'(3'(3'(2'(2'(0'(1'(0'(2'(2'(3'(1'(0'(2'(3'(3'(0'(0'(3'(2'(3'(2'(0'(0'(0'(2'(3'(2'(1'(2'(3'(2'(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 + x11054))))))))))))))))))))))))))))))))), x11054 >= 0
   2'(z) -{ 2 }-> 2'(1'(2'(2'(3'(3'(2'(2'(0'(1'(0'(2'(2'(3'(1'(0'(2'(3'(2'(2'(1'(0'(3'(2'(0'(0'(2'(3'(3'(2'(3'(3'(0'(0'(3'(x11048))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (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))))))))))))))))))))))))))))))))), x11048 >= 0
   2'(z) -{ 2 }-> 2'(1'(2'(2'(3'(3'(2'(2'(0'(1'(0'(2'(2'(3'(1'(0'(2'(3'(2'(1'(1'(1'(1'(1'(0'(3'(2'(2'(2'(1'(2'(3'(1'(1'(1'(x11042))))))))))))))))))))))))))))))))))) :|: x11042 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11042)))))))))))))))))))))))))))))))))
   2'(z) -{ 2 }-> 2'(1'(2'(2'(3'(3'(2'(2'(0'(1'(0'(2'(2'(3'(1'(0'(2'(3'(2'(0'(3'(2'(3'(0'(1'(0'(1'(1'(0'(3'(1'(3'(0'(2'(0'(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 + x11056)))))))))))))))))))))))))))))))))
   2'(z) -{ 2 }-> 2'(1'(2'(2'(3'(3'(2'(2'(0'(1'(0'(2'(2'(3'(1'(0'(2'(3'(1'(3'(1'(0'(3'(3'(2'(1'(2'(1'(2'(0'(2'(3'(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 + x11051))))))))))))))))))))))))))))))))), x11051 >= 0
   2'(z) -{ 2 }-> 2'(1'(2'(2'(3'(3'(2'(2'(0'(1'(0'(2'(2'(3'(1'(0'(2'(3'(1'(1'(1'(2'(2'(2'(0'(3'(2'(0'(3'(2'(3'(2'(0'(0'(1'(x11043))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (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))))))))))))))))))))))))))))))))), x11043 >= 0
   2'(z) -{ 2 }-> 2'(1'(2'(2'(3'(3'(2'(2'(0'(1'(0'(2'(2'(3'(1'(0'(2'(3'(1'(0'(2'(2'(1'(3'(0'(0'(2'(0'(3'(2'(1'(1'(0'(2'(0'(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 + x11050))))))))))))))))))))))))))))))))), x11050 >= 0
   2'(z) -{ 2 }-> 2'(1'(2'(2'(3'(3'(2'(2'(0'(1'(0'(2'(2'(3'(1'(0'(2'(3'(0'(2'(2'(3'(2'(0'(1'(3'(1'(0'(2'(1'(3'(3'(2'(0'(3'(x11045))))))))))))))))))))))))))))))))))) :|: x11045 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (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)))))))))))))))))))))))))))))))))
   2'(z) -{ 2 }-> 2'(1'(2'(2'(3'(3'(2'(2'(0'(1'(0'(2'(2'(3'(1'(0'(2'(3'(0'(2'(1'(0'(1'(3'(3'(2'(0'(0'(3'(0'(3'(2'(3'(1'(0'(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 + x11046)))))))))))))))))))))))))))))))))
   2'(z) -{ 2 }-> 2'(1'(2'(2'(3'(3'(2'(2'(0'(1'(0'(2'(2'(3'(1'(0'(2'(2'(3'(0'(2'(3'(1'(1'(0'(2'(0'(2'(1'(1'(0'(0'(2'(0'(2'(x11058))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11058))))))))))))))))))))))))))))))))), x11058 >= 0
   2'(z) -{ 2 }-> 2'(1'(2'(2'(3'(3'(2'(2'(0'(1'(0'(2'(2'(3'(1'(0'(2'(1'(3'(3'(2'(0'(0'(0'(1'(3'(3'(2'(0'(1'(1'(2'(1'(2'(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 + x11053)))))))))))))))))))))))))))))))))
   2'(z) -{ 2 }-> 2'(1'(2'(2'(3'(3'(2'(2'(0'(1'(0'(2'(2'(3'(1'(0'(2'(0'(3'(3'(2'(1'(0'(0'(2'(3'(3'(1'(1'(0'(1'(1'(3'(2'(0'(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 + x11049))))))))))))))))))))))))))))))))), x11049 >= 0
   2'(z) -{ 2 }-> 2'(1'(2'(2'(3'(3'(2'(2'(0'(1'(0'(2'(2'(3'(1'(0'(2'(0'(2'(1'(3'(3'(3'(2'(1'(1'(0'(1'(3'(3'(2'(1'(1'(3'(3'(x11052))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (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))))))))))))))))))))))))))))))))), x11052 >= 0
   2'(z) -{ 2 }-> 2'(1'(2'(2'(3'(3'(2'(2'(0'(1'(0'(2'(2'(3'(1'(0'(2'(0'(0'(1'(1'(0'(2'(2'(3'(3'(2'(1'(0'(0'(2'(3'(3'(2'(0'(x11047))))))))))))))))))))))))))))))))))) :|: x11047 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (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)))))))))))))))))))))))))))))))))
   2'(z) -{ 1 }-> 2'(1'(2'(2'(3'(3'(2'(2'(0'(1'(0'(2'(2'(3'(1'(0'(2'(0))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   2'(z) -{ 1 }-> 2'(1'(2'(2'(3'(3'(2'(2'(0'(1'(0'(2'(2'(3'(1'(0'(2'(1 + x1))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   2'(z) -{ 1 }-> 2'(1'(2'(2'(3'(0'(0'(3'(0'(3'(2'(0'(0'(2'(2'(1'(2'(2'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   2'(z) -{ 1 }-> 2'(1'(1'(1'(2'(2'(3'(2'(3'(3'(3'(2'(1'(2'(1'(2'(2'(1'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   2'(z) -{ 1 }-> 2'(1'(1'(0'(1'(2'(1'(3'(3'(3'(2'(2'(0'(2'(1'(3'(3'(0'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   2'(z) -{ 1 }-> 2'(1'(0'(3'(2'(2'(1'(2'(3'(2'(2'(0'(3'(2'(2'(0'(1'(1'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   2'(z) -{ 1 }-> 2'(1'(0'(0'(2'(1'(0'(3'(3'(2'(2'(1'(1'(1'(0'(3'(2'(2'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   2'(z) -{ 1 }-> 2'(0'(3'(0'(1'(3'(2'(2'(3'(0'(1'(3'(2'(2'(0'(2'(0'(0'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   2'(z) -{ 1 }-> 2'(0'(2'(1'(2'(1'(0'(2'(2'(2'(1'(2'(1'(0'(2'(1'(1'(1'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   2'(z) -{ 1 }-> 2'(0'(1'(2'(2'(3'(0'(3'(3'(2'(0'(1'(2'(2'(1'(0'(2'(0'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   2'(z) -{ 1 }-> 2'(0'(1'(0'(2'(3'(2'(0'(3'(3'(2'(3'(0'(2'(1'(0'(0'(0'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   2'(z) -{ 1 }-> 2'(0'(1'(0'(1'(1'(0'(3'(2'(1'(1'(0'(2'(2'(3'(1'(1'(0'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   2'(z) -{ 1 }-> 1'(3'(3'(3'(2'(0'(1'(2'(1'(2'(1'(3'(2'(3'(3'(2'(1'(1'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   2'(z) -{ 0 }-> 0 :|: v0 >= 0, z = v0
   2'(z) -{ 0 }-> 1 + x0 :|: z = x0, x0 >= 0
   3'(z) -{ 2 }-> 3'(3'(3'(2'(0'(1'(3'(2'(0'(1'(3'(3'(1'(2'(1'(1'(2'(3'(3'(3'(2'(0'(1'(3'(2'(0'(1'(3'(3'(1'(2'(1'(1'(2'(3'(x11436))))))))))))))))))))))))))))))))))) :|: x11436 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11436)))))))))))))))))))))))))))))))))
   3'(z) -{ 2 }-> 3'(3'(3'(2'(0'(1'(3'(2'(0'(1'(3'(3'(1'(2'(1'(1'(2'(3'(3'(1'(0'(3'(3'(1'(3'(3'(3'(3'(1'(1'(1'(1'(2'(0'(1'(x11423))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11423))))))))))))))))))))))))))))))))), x11423 >= 0
   3'(z) -{ 2 }-> 3'(3'(3'(2'(0'(1'(3'(2'(0'(1'(3'(3'(1'(2'(1'(1'(2'(3'(3'(1'(0'(1'(2'(3'(2'(0'(1'(1'(3'(3'(3'(3'(2'(3'(2'(x11434))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11434))))))))))))))))))))))))))))))))), x11434 >= 0
   3'(z) -{ 2 }-> 3'(3'(3'(2'(0'(1'(3'(2'(0'(1'(3'(3'(1'(2'(1'(1'(2'(3'(3'(0'(0'(3'(2'(3'(2'(0'(0'(0'(2'(3'(2'(1'(2'(3'(2'(x11433))))))))))))))))))))))))))))))))))) :|: x11433 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11433)))))))))))))))))))))))))))))))))
   3'(z) -{ 2 }-> 3'(3'(3'(2'(0'(1'(3'(2'(0'(1'(3'(3'(1'(2'(1'(1'(2'(3'(2'(2'(1'(0'(3'(2'(0'(0'(2'(3'(3'(2'(3'(3'(0'(0'(3'(x11427))))))))))))))))))))))))))))))))))) :|: x11427 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11427)))))))))))))))))))))))))))))))))
   3'(z) -{ 2 }-> 3'(3'(3'(2'(0'(1'(3'(2'(0'(1'(3'(3'(1'(2'(1'(1'(2'(3'(2'(1'(1'(1'(1'(1'(0'(3'(2'(2'(2'(1'(2'(3'(1'(1'(1'(x11421))))))))))))))))))))))))))))))))))) :|: x11421 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11421)))))))))))))))))))))))))))))))))
   3'(z) -{ 2 }-> 3'(3'(3'(2'(0'(1'(3'(2'(0'(1'(3'(3'(1'(2'(1'(1'(2'(3'(2'(0'(3'(2'(3'(0'(1'(0'(1'(1'(0'(3'(1'(3'(0'(2'(0'(x11435))))))))))))))))))))))))))))))))))) :|: x11435 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11435)))))))))))))))))))))))))))))))))
   3'(z) -{ 2 }-> 3'(3'(3'(2'(0'(1'(3'(2'(0'(1'(3'(3'(1'(2'(1'(1'(2'(3'(1'(3'(1'(0'(3'(3'(2'(1'(2'(1'(2'(0'(2'(3'(2'(0'(0'(x11430))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11430))))))))))))))))))))))))))))))))), x11430 >= 0
   3'(z) -{ 2 }-> 3'(3'(3'(2'(0'(1'(3'(2'(0'(1'(3'(3'(1'(2'(1'(1'(2'(3'(1'(1'(1'(2'(2'(2'(0'(3'(2'(0'(3'(2'(3'(2'(0'(0'(1'(x11422))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11422))))))))))))))))))))))))))))))))), x11422 >= 0
   3'(z) -{ 2 }-> 3'(3'(3'(2'(0'(1'(3'(2'(0'(1'(3'(3'(1'(2'(1'(1'(2'(3'(1'(0'(2'(2'(1'(3'(0'(0'(2'(0'(3'(2'(1'(1'(0'(2'(0'(x11429))))))))))))))))))))))))))))))))))) :|: x11429 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11429)))))))))))))))))))))))))))))))))
   3'(z) -{ 2 }-> 3'(3'(3'(2'(0'(1'(3'(2'(0'(1'(3'(3'(1'(2'(1'(1'(2'(3'(0'(2'(2'(3'(2'(0'(1'(3'(1'(0'(2'(1'(3'(3'(2'(0'(3'(x11424))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11424))))))))))))))))))))))))))))))))), x11424 >= 0
   3'(z) -{ 2 }-> 3'(3'(3'(2'(0'(1'(3'(2'(0'(1'(3'(3'(1'(2'(1'(1'(2'(3'(0'(2'(1'(0'(1'(3'(3'(2'(0'(0'(3'(0'(3'(2'(3'(1'(0'(x11425))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11425))))))))))))))))))))))))))))))))), x11425 >= 0
   3'(z) -{ 2 }-> 3'(3'(3'(2'(0'(1'(3'(2'(0'(1'(3'(3'(1'(2'(1'(1'(2'(2'(3'(0'(2'(3'(1'(1'(0'(2'(0'(2'(1'(1'(0'(0'(2'(0'(2'(x11437))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11437))))))))))))))))))))))))))))))))), x11437 >= 0
   3'(z) -{ 2 }-> 3'(3'(3'(2'(0'(1'(3'(2'(0'(1'(3'(3'(1'(2'(1'(1'(2'(1'(3'(3'(2'(0'(0'(0'(1'(3'(3'(2'(0'(1'(1'(2'(1'(2'(3'(x11432))))))))))))))))))))))))))))))))))) :|: x11432 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11432)))))))))))))))))))))))))))))))))
   3'(z) -{ 2 }-> 3'(3'(3'(2'(0'(1'(3'(2'(0'(1'(3'(3'(1'(2'(1'(1'(2'(0'(3'(3'(2'(1'(0'(0'(2'(3'(3'(1'(1'(0'(1'(1'(3'(2'(0'(x11428))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11428))))))))))))))))))))))))))))))))), x11428 >= 0
   3'(z) -{ 2 }-> 3'(3'(3'(2'(0'(1'(3'(2'(0'(1'(3'(3'(1'(2'(1'(1'(2'(0'(2'(1'(3'(3'(3'(2'(1'(1'(0'(1'(3'(3'(2'(1'(1'(3'(3'(x11431))))))))))))))))))))))))))))))))))) :|: x11431 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11431)))))))))))))))))))))))))))))))))
   3'(z) -{ 2 }-> 3'(3'(3'(2'(0'(1'(3'(2'(0'(1'(3'(3'(1'(2'(1'(1'(2'(0'(0'(1'(1'(0'(2'(2'(3'(3'(2'(1'(0'(0'(2'(3'(3'(2'(0'(x11426))))))))))))))))))))))))))))))))))) :|: x11426 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11426)))))))))))))))))))))))))))))))))
   3'(z) -{ 1 }-> 3'(3'(3'(2'(0'(1'(3'(2'(0'(1'(3'(3'(1'(2'(1'(1'(2'(0))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   3'(z) -{ 1 }-> 3'(3'(3'(2'(0'(1'(3'(2'(0'(1'(3'(3'(1'(2'(1'(1'(2'(1 + x1))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   3'(z) -{ 1 }-> 3'(3'(1'(0'(3'(3'(1'(3'(3'(3'(3'(1'(1'(1'(1'(2'(0'(1'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   3'(z) -{ 1 }-> 3'(3'(1'(0'(1'(2'(3'(2'(0'(1'(1'(3'(3'(3'(3'(2'(3'(2'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   3'(z) -{ 1 }-> 3'(3'(0'(0'(3'(2'(3'(2'(0'(0'(0'(2'(3'(2'(1'(2'(3'(2'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   3'(z) -{ 2 }-> 3'(2'(2'(1'(0'(3'(2'(0'(0'(2'(3'(3'(2'(3'(3'(0'(0'(3'(3'(3'(2'(0'(1'(3'(2'(0'(1'(3'(3'(1'(2'(1'(1'(2'(3'(x1811))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1811))))))))))))))))))))))))))))))))), x1811 >= 0
   3'(z) -{ 2 }-> 3'(2'(2'(1'(0'(3'(2'(0'(0'(2'(3'(3'(2'(3'(3'(0'(0'(3'(3'(1'(0'(3'(3'(1'(3'(3'(3'(3'(1'(1'(1'(1'(2'(0'(1'(x1798))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1798))))))))))))))))))))))))))))))))), x1798 >= 0
   3'(z) -{ 2 }-> 3'(2'(2'(1'(0'(3'(2'(0'(0'(2'(3'(3'(2'(3'(3'(0'(0'(3'(3'(1'(0'(1'(2'(3'(2'(0'(1'(1'(3'(3'(3'(3'(2'(3'(2'(x1809))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1809))))))))))))))))))))))))))))))))), x1809 >= 0
   3'(z) -{ 2 }-> 3'(2'(2'(1'(0'(3'(2'(0'(0'(2'(3'(3'(2'(3'(3'(0'(0'(3'(3'(0'(0'(3'(2'(3'(2'(0'(0'(0'(2'(3'(2'(1'(2'(3'(2'(x1808))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1808))))))))))))))))))))))))))))))))), x1808 >= 0
   3'(z) -{ 2 }-> 3'(2'(2'(1'(0'(3'(2'(0'(0'(2'(3'(3'(2'(3'(3'(0'(0'(3'(2'(2'(1'(0'(3'(2'(0'(0'(2'(3'(3'(2'(3'(3'(0'(0'(3'(x1802))))))))))))))))))))))))))))))))))) :|: x1802 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1802)))))))))))))))))))))))))))))))))
   3'(z) -{ 2 }-> 3'(2'(2'(1'(0'(3'(2'(0'(0'(2'(3'(3'(2'(3'(3'(0'(0'(3'(2'(1'(1'(1'(1'(1'(0'(3'(2'(2'(2'(1'(2'(3'(1'(1'(1'(x1796))))))))))))))))))))))))))))))))))) :|: x1796 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1796)))))))))))))))))))))))))))))))))
   3'(z) -{ 2 }-> 3'(2'(2'(1'(0'(3'(2'(0'(0'(2'(3'(3'(2'(3'(3'(0'(0'(3'(2'(0'(3'(2'(3'(0'(1'(0'(1'(1'(0'(3'(1'(3'(0'(2'(0'(x1810))))))))))))))))))))))))))))))))))) :|: x1810 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1810)))))))))))))))))))))))))))))))))
   3'(z) -{ 2 }-> 3'(2'(2'(1'(0'(3'(2'(0'(0'(2'(3'(3'(2'(3'(3'(0'(0'(3'(1'(3'(1'(0'(3'(3'(2'(1'(2'(1'(2'(0'(2'(3'(2'(0'(0'(x1805))))))))))))))))))))))))))))))))))) :|: x1805 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1805)))))))))))))))))))))))))))))))))
   3'(z) -{ 2 }-> 3'(2'(2'(1'(0'(3'(2'(0'(0'(2'(3'(3'(2'(3'(3'(0'(0'(3'(1'(1'(1'(2'(2'(2'(0'(3'(2'(0'(3'(2'(3'(2'(0'(0'(1'(x1797))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1797))))))))))))))))))))))))))))))))), x1797 >= 0
   3'(z) -{ 2 }-> 3'(2'(2'(1'(0'(3'(2'(0'(0'(2'(3'(3'(2'(3'(3'(0'(0'(3'(1'(0'(2'(2'(1'(3'(0'(0'(2'(0'(3'(2'(1'(1'(0'(2'(0'(x1804))))))))))))))))))))))))))))))))))) :|: x1804 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1804)))))))))))))))))))))))))))))))))
   3'(z) -{ 2 }-> 3'(2'(2'(1'(0'(3'(2'(0'(0'(2'(3'(3'(2'(3'(3'(0'(0'(3'(0'(2'(2'(3'(2'(0'(1'(3'(1'(0'(2'(1'(3'(3'(2'(0'(3'(x1799))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1799))))))))))))))))))))))))))))))))), x1799 >= 0
   3'(z) -{ 2 }-> 3'(2'(2'(1'(0'(3'(2'(0'(0'(2'(3'(3'(2'(3'(3'(0'(0'(3'(0'(2'(1'(0'(1'(3'(3'(2'(0'(0'(3'(0'(3'(2'(3'(1'(0'(x1800))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1800))))))))))))))))))))))))))))))))), x1800 >= 0
   3'(z) -{ 2 }-> 3'(2'(2'(1'(0'(3'(2'(0'(0'(2'(3'(3'(2'(3'(3'(0'(0'(2'(3'(0'(2'(3'(1'(1'(0'(2'(0'(2'(1'(1'(0'(0'(2'(0'(2'(x1812))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1812))))))))))))))))))))))))))))))))), x1812 >= 0
   3'(z) -{ 2 }-> 3'(2'(2'(1'(0'(3'(2'(0'(0'(2'(3'(3'(2'(3'(3'(0'(0'(1'(3'(3'(2'(0'(0'(0'(1'(3'(3'(2'(0'(1'(1'(2'(1'(2'(3'(x1807))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1807))))))))))))))))))))))))))))))))), x1807 >= 0
   3'(z) -{ 2 }-> 3'(2'(2'(1'(0'(3'(2'(0'(0'(2'(3'(3'(2'(3'(3'(0'(0'(0'(3'(3'(2'(1'(0'(0'(2'(3'(3'(1'(1'(0'(1'(1'(3'(2'(0'(x1803))))))))))))))))))))))))))))))))))) :|: x1803 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1803)))))))))))))))))))))))))))))))))
   3'(z) -{ 2 }-> 3'(2'(2'(1'(0'(3'(2'(0'(0'(2'(3'(3'(2'(3'(3'(0'(0'(0'(2'(1'(3'(3'(3'(2'(1'(1'(0'(1'(3'(3'(2'(1'(1'(3'(3'(x1806))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1806))))))))))))))))))))))))))))))))), x1806 >= 0
   3'(z) -{ 2 }-> 3'(2'(2'(1'(0'(3'(2'(0'(0'(2'(3'(3'(2'(3'(3'(0'(0'(0'(0'(1'(1'(0'(2'(2'(3'(3'(2'(1'(0'(0'(2'(3'(3'(2'(0'(x1801))))))))))))))))))))))))))))))))))) :|: x1801 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1801)))))))))))))))))))))))))))))))))
   3'(z) -{ 1 }-> 3'(2'(2'(1'(0'(3'(2'(0'(0'(2'(3'(3'(2'(3'(3'(0'(0'(0))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   3'(z) -{ 1 }-> 3'(2'(2'(1'(0'(3'(2'(0'(0'(2'(3'(3'(2'(3'(3'(0'(0'(1 + x1))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   3'(z) -{ 1 }-> 3'(2'(1'(1'(1'(1'(1'(0'(3'(2'(2'(2'(1'(2'(3'(1'(1'(1'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   3'(z) -{ 1 }-> 3'(2'(0'(3'(2'(3'(0'(1'(0'(1'(1'(0'(3'(1'(3'(0'(2'(0'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   3'(z) -{ 1 }-> 3'(1'(3'(1'(0'(3'(3'(2'(1'(2'(1'(2'(0'(2'(3'(2'(0'(0'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   3'(z) -{ 1 }-> 3'(1'(1'(1'(2'(2'(2'(0'(3'(2'(0'(3'(2'(3'(2'(0'(0'(1'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   3'(z) -{ 1 }-> 3'(1'(0'(2'(2'(1'(3'(0'(0'(2'(0'(3'(2'(1'(1'(0'(2'(0'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   3'(z) -{ 2 }-> 3'(0'(2'(2'(3'(2'(0'(1'(3'(1'(0'(2'(1'(3'(3'(2'(0'(3'(3'(3'(2'(0'(1'(3'(2'(0'(1'(3'(3'(1'(2'(1'(1'(2'(3'(x1445))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1445))))))))))))))))))))))))))))))))), x1445 >= 0
   3'(z) -{ 2 }-> 3'(0'(2'(2'(3'(2'(0'(1'(3'(1'(0'(2'(1'(3'(3'(2'(0'(3'(3'(1'(0'(3'(3'(1'(3'(3'(3'(3'(1'(1'(1'(1'(2'(0'(1'(x1432))))))))))))))))))))))))))))))))))) :|: x1432 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1432)))))))))))))))))))))))))))))))))
   3'(z) -{ 2 }-> 3'(0'(2'(2'(3'(2'(0'(1'(3'(1'(0'(2'(1'(3'(3'(2'(0'(3'(3'(1'(0'(1'(2'(3'(2'(0'(1'(1'(3'(3'(3'(3'(2'(3'(2'(x1443))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1443))))))))))))))))))))))))))))))))), x1443 >= 0
   3'(z) -{ 2 }-> 3'(0'(2'(2'(3'(2'(0'(1'(3'(1'(0'(2'(1'(3'(3'(2'(0'(3'(3'(0'(0'(3'(2'(3'(2'(0'(0'(0'(2'(3'(2'(1'(2'(3'(2'(x1442))))))))))))))))))))))))))))))))))) :|: x1442 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1442)))))))))))))))))))))))))))))))))
   3'(z) -{ 2 }-> 3'(0'(2'(2'(3'(2'(0'(1'(3'(1'(0'(2'(1'(3'(3'(2'(0'(3'(2'(2'(1'(0'(3'(2'(0'(0'(2'(3'(3'(2'(3'(3'(0'(0'(3'(x1436))))))))))))))))))))))))))))))))))) :|: x1436 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1436)))))))))))))))))))))))))))))))))
   3'(z) -{ 2 }-> 3'(0'(2'(2'(3'(2'(0'(1'(3'(1'(0'(2'(1'(3'(3'(2'(0'(3'(2'(1'(1'(1'(1'(1'(0'(3'(2'(2'(2'(1'(2'(3'(1'(1'(1'(x1430))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1430))))))))))))))))))))))))))))))))), x1430 >= 0
   3'(z) -{ 2 }-> 3'(0'(2'(2'(3'(2'(0'(1'(3'(1'(0'(2'(1'(3'(3'(2'(0'(3'(2'(0'(3'(2'(3'(0'(1'(0'(1'(1'(0'(3'(1'(3'(0'(2'(0'(x1444))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1444))))))))))))))))))))))))))))))))), x1444 >= 0
   3'(z) -{ 2 }-> 3'(0'(2'(2'(3'(2'(0'(1'(3'(1'(0'(2'(1'(3'(3'(2'(0'(3'(1'(3'(1'(0'(3'(3'(2'(1'(2'(1'(2'(0'(2'(3'(2'(0'(0'(x1439))))))))))))))))))))))))))))))))))) :|: x1439 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1439)))))))))))))))))))))))))))))))))
   3'(z) -{ 2 }-> 3'(0'(2'(2'(3'(2'(0'(1'(3'(1'(0'(2'(1'(3'(3'(2'(0'(3'(1'(1'(1'(2'(2'(2'(0'(3'(2'(0'(3'(2'(3'(2'(0'(0'(1'(x1431))))))))))))))))))))))))))))))))))) :|: x1431 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1431)))))))))))))))))))))))))))))))))
   3'(z) -{ 2 }-> 3'(0'(2'(2'(3'(2'(0'(1'(3'(1'(0'(2'(1'(3'(3'(2'(0'(3'(1'(0'(2'(2'(1'(3'(0'(0'(2'(0'(3'(2'(1'(1'(0'(2'(0'(x1438))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1438))))))))))))))))))))))))))))))))), x1438 >= 0
   3'(z) -{ 2 }-> 3'(0'(2'(2'(3'(2'(0'(1'(3'(1'(0'(2'(1'(3'(3'(2'(0'(3'(0'(2'(2'(3'(2'(0'(1'(3'(1'(0'(2'(1'(3'(3'(2'(0'(3'(x1433))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1433))))))))))))))))))))))))))))))))), x1433 >= 0
   3'(z) -{ 2 }-> 3'(0'(2'(2'(3'(2'(0'(1'(3'(1'(0'(2'(1'(3'(3'(2'(0'(3'(0'(2'(1'(0'(1'(3'(3'(2'(0'(0'(3'(0'(3'(2'(3'(1'(0'(x1434))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1434))))))))))))))))))))))))))))))))), x1434 >= 0
   3'(z) -{ 2 }-> 3'(0'(2'(2'(3'(2'(0'(1'(3'(1'(0'(2'(1'(3'(3'(2'(0'(2'(3'(0'(2'(3'(1'(1'(0'(2'(0'(2'(1'(1'(0'(0'(2'(0'(2'(x1446))))))))))))))))))))))))))))))))))) :|: x1446 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1446)))))))))))))))))))))))))))))))))
   3'(z) -{ 2 }-> 3'(0'(2'(2'(3'(2'(0'(1'(3'(1'(0'(2'(1'(3'(3'(2'(0'(1'(3'(3'(2'(0'(0'(0'(1'(3'(3'(2'(0'(1'(1'(2'(1'(2'(3'(x1441))))))))))))))))))))))))))))))))))) :|: x1441 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1441)))))))))))))))))))))))))))))))))
   3'(z) -{ 2 }-> 3'(0'(2'(2'(3'(2'(0'(1'(3'(1'(0'(2'(1'(3'(3'(2'(0'(0'(3'(3'(2'(1'(0'(0'(2'(3'(3'(1'(1'(0'(1'(1'(3'(2'(0'(x1437))))))))))))))))))))))))))))))))))) :|: x1437 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1437)))))))))))))))))))))))))))))))))
   3'(z) -{ 2 }-> 3'(0'(2'(2'(3'(2'(0'(1'(3'(1'(0'(2'(1'(3'(3'(2'(0'(0'(2'(1'(3'(3'(3'(2'(1'(1'(0'(1'(3'(3'(2'(1'(1'(3'(3'(x1440))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1440))))))))))))))))))))))))))))))))), x1440 >= 0
   3'(z) -{ 2 }-> 3'(0'(2'(2'(3'(2'(0'(1'(3'(1'(0'(2'(1'(3'(3'(2'(0'(0'(0'(1'(1'(0'(2'(2'(3'(3'(2'(1'(0'(0'(2'(3'(3'(2'(0'(x1435))))))))))))))))))))))))))))))))))) :|: x1435 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1435)))))))))))))))))))))))))))))))))
   3'(z) -{ 1 }-> 3'(0'(2'(2'(3'(2'(0'(1'(3'(1'(0'(2'(1'(3'(3'(2'(0'(0))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   3'(z) -{ 1 }-> 3'(0'(2'(2'(3'(2'(0'(1'(3'(1'(0'(2'(1'(3'(3'(2'(0'(1 + x1))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   3'(z) -{ 1 }-> 3'(0'(2'(1'(0'(1'(3'(3'(2'(0'(0'(3'(0'(3'(2'(3'(1'(0'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   3'(z) -{ 1 }-> 2'(3'(0'(2'(3'(1'(1'(0'(2'(0'(2'(1'(1'(0'(0'(2'(0'(2'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   3'(z) -{ 2 }-> 1'(3'(3'(2'(0'(0'(0'(1'(3'(3'(2'(0'(1'(1'(2'(1'(2'(3'(3'(3'(2'(0'(1'(3'(2'(0'(1'(3'(3'(1'(2'(1'(1'(2'(3'(x11253))))))))))))))))))))))))))))))))))) :|: x11253 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11253)))))))))))))))))))))))))))))))))
   3'(z) -{ 2 }-> 1'(3'(3'(2'(0'(0'(0'(1'(3'(3'(2'(0'(1'(1'(2'(1'(2'(3'(3'(1'(0'(3'(3'(1'(3'(3'(3'(3'(1'(1'(1'(1'(2'(0'(1'(x11240))))))))))))))))))))))))))))))))))) :|: x11240 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11240)))))))))))))))))))))))))))))))))
   3'(z) -{ 2 }-> 1'(3'(3'(2'(0'(0'(0'(1'(3'(3'(2'(0'(1'(1'(2'(1'(2'(3'(3'(1'(0'(1'(2'(3'(2'(0'(1'(1'(3'(3'(3'(3'(2'(3'(2'(x11251))))))))))))))))))))))))))))))))))) :|: x11251 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11251)))))))))))))))))))))))))))))))))
   3'(z) -{ 2 }-> 1'(3'(3'(2'(0'(0'(0'(1'(3'(3'(2'(0'(1'(1'(2'(1'(2'(3'(3'(0'(0'(3'(2'(3'(2'(0'(0'(0'(2'(3'(2'(1'(2'(3'(2'(x11250))))))))))))))))))))))))))))))))))) :|: x11250 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11250)))))))))))))))))))))))))))))))))
   3'(z) -{ 2 }-> 1'(3'(3'(2'(0'(0'(0'(1'(3'(3'(2'(0'(1'(1'(2'(1'(2'(3'(2'(2'(1'(0'(3'(2'(0'(0'(2'(3'(3'(2'(3'(3'(0'(0'(3'(x11244))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11244))))))))))))))))))))))))))))))))), x11244 >= 0
   3'(z) -{ 2 }-> 1'(3'(3'(2'(0'(0'(0'(1'(3'(3'(2'(0'(1'(1'(2'(1'(2'(3'(2'(1'(1'(1'(1'(1'(0'(3'(2'(2'(2'(1'(2'(3'(1'(1'(1'(x11238))))))))))))))))))))))))))))))))))) :|: x11238 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11238)))))))))))))))))))))))))))))))))
   3'(z) -{ 2 }-> 1'(3'(3'(2'(0'(0'(0'(1'(3'(3'(2'(0'(1'(1'(2'(1'(2'(3'(2'(0'(3'(2'(3'(0'(1'(0'(1'(1'(0'(3'(1'(3'(0'(2'(0'(x11252))))))))))))))))))))))))))))))))))) :|: x11252 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11252)))))))))))))))))))))))))))))))))
   3'(z) -{ 2 }-> 1'(3'(3'(2'(0'(0'(0'(1'(3'(3'(2'(0'(1'(1'(2'(1'(2'(3'(1'(3'(1'(0'(3'(3'(2'(1'(2'(1'(2'(0'(2'(3'(2'(0'(0'(x11247))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11247))))))))))))))))))))))))))))))))), x11247 >= 0
   3'(z) -{ 2 }-> 1'(3'(3'(2'(0'(0'(0'(1'(3'(3'(2'(0'(1'(1'(2'(1'(2'(3'(1'(1'(1'(2'(2'(2'(0'(3'(2'(0'(3'(2'(3'(2'(0'(0'(1'(x11239))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11239))))))))))))))))))))))))))))))))), x11239 >= 0
   3'(z) -{ 2 }-> 1'(3'(3'(2'(0'(0'(0'(1'(3'(3'(2'(0'(1'(1'(2'(1'(2'(3'(1'(0'(2'(2'(1'(3'(0'(0'(2'(0'(3'(2'(1'(1'(0'(2'(0'(x11246))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11246))))))))))))))))))))))))))))))))), x11246 >= 0
   3'(z) -{ 2 }-> 1'(3'(3'(2'(0'(0'(0'(1'(3'(3'(2'(0'(1'(1'(2'(1'(2'(3'(0'(2'(2'(3'(2'(0'(1'(3'(1'(0'(2'(1'(3'(3'(2'(0'(3'(x11241))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11241))))))))))))))))))))))))))))))))), x11241 >= 0
   3'(z) -{ 2 }-> 1'(3'(3'(2'(0'(0'(0'(1'(3'(3'(2'(0'(1'(1'(2'(1'(2'(3'(0'(2'(1'(0'(1'(3'(3'(2'(0'(0'(3'(0'(3'(2'(3'(1'(0'(x11242))))))))))))))))))))))))))))))))))) :|: x11242 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11242)))))))))))))))))))))))))))))))))
   3'(z) -{ 2 }-> 1'(3'(3'(2'(0'(0'(0'(1'(3'(3'(2'(0'(1'(1'(2'(1'(2'(2'(3'(0'(2'(3'(1'(1'(0'(2'(0'(2'(1'(1'(0'(0'(2'(0'(2'(x11254))))))))))))))))))))))))))))))))))) :|: x11254 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11254)))))))))))))))))))))))))))))))))
   3'(z) -{ 2 }-> 1'(3'(3'(2'(0'(0'(0'(1'(3'(3'(2'(0'(1'(1'(2'(1'(2'(1'(3'(3'(2'(0'(0'(0'(1'(3'(3'(2'(0'(1'(1'(2'(1'(2'(3'(x11249))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11249))))))))))))))))))))))))))))))))), x11249 >= 0
   3'(z) -{ 2 }-> 1'(3'(3'(2'(0'(0'(0'(1'(3'(3'(2'(0'(1'(1'(2'(1'(2'(0'(3'(3'(2'(1'(0'(0'(2'(3'(3'(1'(1'(0'(1'(1'(3'(2'(0'(x11245))))))))))))))))))))))))))))))))))) :|: x11245 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11245)))))))))))))))))))))))))))))))))
   3'(z) -{ 2 }-> 1'(3'(3'(2'(0'(0'(0'(1'(3'(3'(2'(0'(1'(1'(2'(1'(2'(0'(2'(1'(3'(3'(3'(2'(1'(1'(0'(1'(3'(3'(2'(1'(1'(3'(3'(x11248))))))))))))))))))))))))))))))))))) :|: x11248 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11248)))))))))))))))))))))))))))))))))
   3'(z) -{ 2 }-> 1'(3'(3'(2'(0'(0'(0'(1'(3'(3'(2'(0'(1'(1'(2'(1'(2'(0'(0'(1'(1'(0'(2'(2'(3'(3'(2'(1'(0'(0'(2'(3'(3'(2'(0'(x11243))))))))))))))))))))))))))))))))))) :|: x11243 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11243)))))))))))))))))))))))))))))))))
   3'(z) -{ 1 }-> 1'(3'(3'(2'(0'(0'(0'(1'(3'(3'(2'(0'(1'(1'(2'(1'(2'(0))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   3'(z) -{ 1 }-> 1'(3'(3'(2'(0'(0'(0'(1'(3'(3'(2'(0'(1'(1'(2'(1'(2'(1 + x1))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   3'(z) -{ 1 }-> 0'(3'(3'(2'(1'(0'(0'(2'(3'(3'(1'(1'(0'(1'(1'(3'(2'(0'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   3'(z) -{ 2 }-> 0'(2'(1'(3'(3'(3'(2'(1'(1'(0'(1'(3'(3'(2'(1'(1'(3'(3'(3'(3'(2'(0'(1'(3'(2'(0'(1'(3'(3'(1'(2'(1'(1'(2'(3'(x11154))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11154))))))))))))))))))))))))))))))))), x11154 >= 0
   3'(z) -{ 2 }-> 0'(2'(1'(3'(3'(3'(2'(1'(1'(0'(1'(3'(3'(2'(1'(1'(3'(3'(3'(1'(0'(3'(3'(1'(3'(3'(3'(3'(1'(1'(1'(1'(2'(0'(1'(x11141))))))))))))))))))))))))))))))))))) :|: x11141 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11141)))))))))))))))))))))))))))))))))
   3'(z) -{ 2 }-> 0'(2'(1'(3'(3'(3'(2'(1'(1'(0'(1'(3'(3'(2'(1'(1'(3'(3'(3'(1'(0'(1'(2'(3'(2'(0'(1'(1'(3'(3'(3'(3'(2'(3'(2'(x11152))))))))))))))))))))))))))))))))))) :|: x11152 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11152)))))))))))))))))))))))))))))))))
   3'(z) -{ 2 }-> 0'(2'(1'(3'(3'(3'(2'(1'(1'(0'(1'(3'(3'(2'(1'(1'(3'(3'(3'(0'(0'(3'(2'(3'(2'(0'(0'(0'(2'(3'(2'(1'(2'(3'(2'(x11151))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11151))))))))))))))))))))))))))))))))), x11151 >= 0
   3'(z) -{ 2 }-> 0'(2'(1'(3'(3'(3'(2'(1'(1'(0'(1'(3'(3'(2'(1'(1'(3'(3'(2'(2'(1'(0'(3'(2'(0'(0'(2'(3'(3'(2'(3'(3'(0'(0'(3'(x11145))))))))))))))))))))))))))))))))))) :|: x11145 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11145)))))))))))))))))))))))))))))))))
   3'(z) -{ 2 }-> 0'(2'(1'(3'(3'(3'(2'(1'(1'(0'(1'(3'(3'(2'(1'(1'(3'(3'(2'(1'(1'(1'(1'(1'(0'(3'(2'(2'(2'(1'(2'(3'(1'(1'(1'(x11139))))))))))))))))))))))))))))))))))) :|: x11139 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11139)))))))))))))))))))))))))))))))))
   3'(z) -{ 2 }-> 0'(2'(1'(3'(3'(3'(2'(1'(1'(0'(1'(3'(3'(2'(1'(1'(3'(3'(2'(0'(3'(2'(3'(0'(1'(0'(1'(1'(0'(3'(1'(3'(0'(2'(0'(x11153))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11153))))))))))))))))))))))))))))))))), x11153 >= 0
   3'(z) -{ 2 }-> 0'(2'(1'(3'(3'(3'(2'(1'(1'(0'(1'(3'(3'(2'(1'(1'(3'(3'(1'(3'(1'(0'(3'(3'(2'(1'(2'(1'(2'(0'(2'(3'(2'(0'(0'(x11148))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11148))))))))))))))))))))))))))))))))), x11148 >= 0
   3'(z) -{ 2 }-> 0'(2'(1'(3'(3'(3'(2'(1'(1'(0'(1'(3'(3'(2'(1'(1'(3'(3'(1'(1'(1'(2'(2'(2'(0'(3'(2'(0'(3'(2'(3'(2'(0'(0'(1'(x11140))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11140))))))))))))))))))))))))))))))))), x11140 >= 0
   3'(z) -{ 2 }-> 0'(2'(1'(3'(3'(3'(2'(1'(1'(0'(1'(3'(3'(2'(1'(1'(3'(3'(1'(0'(2'(2'(1'(3'(0'(0'(2'(0'(3'(2'(1'(1'(0'(2'(0'(x11147))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11147))))))))))))))))))))))))))))))))), x11147 >= 0
   3'(z) -{ 2 }-> 0'(2'(1'(3'(3'(3'(2'(1'(1'(0'(1'(3'(3'(2'(1'(1'(3'(3'(0'(2'(2'(3'(2'(0'(1'(3'(1'(0'(2'(1'(3'(3'(2'(0'(3'(x11142))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11142))))))))))))))))))))))))))))))))), x11142 >= 0
   3'(z) -{ 2 }-> 0'(2'(1'(3'(3'(3'(2'(1'(1'(0'(1'(3'(3'(2'(1'(1'(3'(3'(0'(2'(1'(0'(1'(3'(3'(2'(0'(0'(3'(0'(3'(2'(3'(1'(0'(x11143))))))))))))))))))))))))))))))))))) :|: x11143 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11143)))))))))))))))))))))))))))))))))
   3'(z) -{ 2 }-> 0'(2'(1'(3'(3'(3'(2'(1'(1'(0'(1'(3'(3'(2'(1'(1'(3'(2'(3'(0'(2'(3'(1'(1'(0'(2'(0'(2'(1'(1'(0'(0'(2'(0'(2'(x11155))))))))))))))))))))))))))))))))))) :|: x11155 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11155)))))))))))))))))))))))))))))))))
   3'(z) -{ 2 }-> 0'(2'(1'(3'(3'(3'(2'(1'(1'(0'(1'(3'(3'(2'(1'(1'(3'(1'(3'(3'(2'(0'(0'(0'(1'(3'(3'(2'(0'(1'(1'(2'(1'(2'(3'(x11150))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11150))))))))))))))))))))))))))))))))), x11150 >= 0
   3'(z) -{ 2 }-> 0'(2'(1'(3'(3'(3'(2'(1'(1'(0'(1'(3'(3'(2'(1'(1'(3'(0'(3'(3'(2'(1'(0'(0'(2'(3'(3'(1'(1'(0'(1'(1'(3'(2'(0'(x11146))))))))))))))))))))))))))))))))))) :|: x11146 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11146)))))))))))))))))))))))))))))))))
   3'(z) -{ 2 }-> 0'(2'(1'(3'(3'(3'(2'(1'(1'(0'(1'(3'(3'(2'(1'(1'(3'(0'(2'(1'(3'(3'(3'(2'(1'(1'(0'(1'(3'(3'(2'(1'(1'(3'(3'(x11149))))))))))))))))))))))))))))))))))) :|: x11149 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11149)))))))))))))))))))))))))))))))))
   3'(z) -{ 2 }-> 0'(2'(1'(3'(3'(3'(2'(1'(1'(0'(1'(3'(3'(2'(1'(1'(3'(0'(0'(1'(1'(0'(2'(2'(3'(3'(2'(1'(0'(0'(2'(3'(3'(2'(0'(x11144))))))))))))))))))))))))))))))))))) :|: x11144 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11144)))))))))))))))))))))))))))))))))
   3'(z) -{ 1 }-> 0'(2'(1'(3'(3'(3'(2'(1'(1'(0'(1'(3'(3'(2'(1'(1'(3'(0))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   3'(z) -{ 1 }-> 0'(2'(1'(3'(3'(3'(2'(1'(1'(0'(1'(3'(3'(2'(1'(1'(3'(1 + x1))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   3'(z) -{ 1 }-> 0'(0'(1'(1'(0'(2'(2'(3'(3'(2'(1'(0'(0'(2'(3'(3'(2'(0'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   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_126))) :|: z = 1 + x_126, x_126 >= 0
   encode_1(z) -{ 0 }-> 1'(2'(encArg(x_125))) :|: z = 1 + x_125, x_125 >= 0
   encode_1(z) -{ 0 }-> 1'(1'(encArg(x_124))) :|: x_124 >= 0, z = 1 + x_124
   encode_1(z) -{ 0 }-> 1'(0'(encArg(x_123))) :|: x_123 >= 0, z = 1 + x_123
   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_130))) :|: x_130 >= 0, z = 1 + x_130
   encode_2(z) -{ 0 }-> 2'(2'(encArg(x_129))) :|: z = 1 + x_129, x_129 >= 0
   encode_2(z) -{ 0 }-> 2'(1'(encArg(x_128))) :|: x_128 >= 0, z = 1 + x_128
   encode_2(z) -{ 0 }-> 2'(0'(encArg(x_127))) :|: x_127 >= 0, z = 1 + x_127
   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_122))) :|: x_122 >= 0, z = 1 + x_122
   encode_3(z) -{ 0 }-> 3'(2'(encArg(x_121))) :|: z = 1 + x_121, x_121 >= 0
   encode_3(z) -{ 0 }-> 3'(1'(encArg(x_120))) :|: x_120 >= 0, z = 1 + x_120
   encode_3(z) -{ 0 }-> 3'(0'(encArg(x_119))) :|: z = 1 + x_119, x_119 >= 0
   encode_3(z) -{ 0 }-> 3'(0) :|: x_1 >= 0, z = x_1
   encode_3(z) -{ 0 }-> 0 :|: v0 >= 0, z = v0


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(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) -{ 2 }-> 3'(0'(3'(3'(2'(0'(2'(3'(2'(0'(3'(1'(3'(3'(2'(0'(0'(3'(3'(3'(2'(0'(1'(3'(2'(0'(1'(3'(3'(1'(2'(1'(1'(2'(3'(z - 34))))))))))))))))))))))))))))))))))) :|: z - 34 >= 0
   0'(z) -{ 2 }-> 3'(0'(3'(3'(2'(0'(2'(3'(2'(0'(3'(1'(3'(3'(2'(0'(0'(3'(3'(1'(0'(3'(3'(1'(3'(3'(3'(3'(1'(1'(1'(1'(2'(0'(1'(z - 34))))))))))))))))))))))))))))))))))) :|: z - 34 >= 0
   0'(z) -{ 2 }-> 3'(0'(3'(3'(2'(0'(2'(3'(2'(0'(3'(1'(3'(3'(2'(0'(0'(3'(3'(1'(0'(1'(2'(3'(2'(0'(1'(1'(3'(3'(3'(3'(2'(3'(2'(z - 34))))))))))))))))))))))))))))))))))) :|: z - 34 >= 0
   0'(z) -{ 2 }-> 3'(0'(3'(3'(2'(0'(2'(3'(2'(0'(3'(1'(3'(3'(2'(0'(0'(3'(3'(0'(0'(3'(2'(3'(2'(0'(0'(0'(2'(3'(2'(1'(2'(3'(2'(z - 34))))))))))))))))))))))))))))))))))) :|: z - 34 >= 0
   0'(z) -{ 2 }-> 3'(0'(3'(3'(2'(0'(2'(3'(2'(0'(3'(1'(3'(3'(2'(0'(0'(3'(2'(2'(1'(0'(3'(2'(0'(0'(2'(3'(3'(2'(3'(3'(0'(0'(3'(z - 34))))))))))))))))))))))))))))))))))) :|: z - 34 >= 0
   0'(z) -{ 2 }-> 3'(0'(3'(3'(2'(0'(2'(3'(2'(0'(3'(1'(3'(3'(2'(0'(0'(3'(2'(1'(1'(1'(1'(1'(0'(3'(2'(2'(2'(1'(2'(3'(1'(1'(1'(z - 34))))))))))))))))))))))))))))))))))) :|: z - 34 >= 0
   0'(z) -{ 2 }-> 3'(0'(3'(3'(2'(0'(2'(3'(2'(0'(3'(1'(3'(3'(2'(0'(0'(3'(2'(0'(3'(2'(3'(0'(1'(0'(1'(1'(0'(3'(1'(3'(0'(2'(0'(z - 34))))))))))))))))))))))))))))))))))) :|: z - 34 >= 0
   0'(z) -{ 2 }-> 3'(0'(3'(3'(2'(0'(2'(3'(2'(0'(3'(1'(3'(3'(2'(0'(0'(3'(1'(3'(1'(0'(3'(3'(2'(1'(2'(1'(2'(0'(2'(3'(2'(0'(0'(z - 34))))))))))))))))))))))))))))))))))) :|: z - 34 >= 0
   0'(z) -{ 2 }-> 3'(0'(3'(3'(2'(0'(2'(3'(2'(0'(3'(1'(3'(3'(2'(0'(0'(3'(1'(1'(1'(2'(2'(2'(0'(3'(2'(0'(3'(2'(3'(2'(0'(0'(1'(z - 34))))))))))))))))))))))))))))))))))) :|: z - 34 >= 0
   0'(z) -{ 2 }-> 3'(0'(3'(3'(2'(0'(2'(3'(2'(0'(3'(1'(3'(3'(2'(0'(0'(3'(1'(0'(2'(2'(1'(3'(0'(0'(2'(0'(3'(2'(1'(1'(0'(2'(0'(z - 34))))))))))))))))))))))))))))))))))) :|: z - 34 >= 0
   0'(z) -{ 2 }-> 3'(0'(3'(3'(2'(0'(2'(3'(2'(0'(3'(1'(3'(3'(2'(0'(0'(3'(0'(2'(2'(3'(2'(0'(1'(3'(1'(0'(2'(1'(3'(3'(2'(0'(3'(z - 34))))))))))))))))))))))))))))))))))) :|: z - 34 >= 0
   0'(z) -{ 2 }-> 3'(0'(3'(3'(2'(0'(2'(3'(2'(0'(3'(1'(3'(3'(2'(0'(0'(3'(0'(2'(1'(0'(1'(3'(3'(2'(0'(0'(3'(0'(3'(2'(3'(1'(0'(z - 34))))))))))))))))))))))))))))))))))) :|: z - 34 >= 0
   0'(z) -{ 2 }-> 3'(0'(3'(3'(2'(0'(2'(3'(2'(0'(3'(1'(3'(3'(2'(0'(0'(2'(3'(0'(2'(3'(1'(1'(0'(2'(0'(2'(1'(1'(0'(0'(2'(0'(2'(z - 34))))))))))))))))))))))))))))))))))) :|: z - 34 >= 0
   0'(z) -{ 2 }-> 3'(0'(3'(3'(2'(0'(2'(3'(2'(0'(3'(1'(3'(3'(2'(0'(0'(1'(3'(3'(2'(0'(0'(0'(1'(3'(3'(2'(0'(1'(1'(2'(1'(2'(3'(z - 34))))))))))))))))))))))))))))))))))) :|: z - 34 >= 0
   0'(z) -{ 2 }-> 3'(0'(3'(3'(2'(0'(2'(3'(2'(0'(3'(1'(3'(3'(2'(0'(0'(0'(3'(3'(2'(1'(0'(0'(2'(3'(3'(1'(1'(0'(1'(1'(3'(2'(0'(z - 34))))))))))))))))))))))))))))))))))) :|: z - 34 >= 0
   0'(z) -{ 2 }-> 3'(0'(3'(3'(2'(0'(2'(3'(2'(0'(3'(1'(3'(3'(2'(0'(0'(0'(2'(1'(3'(3'(3'(2'(1'(1'(0'(1'(3'(3'(2'(1'(1'(3'(3'(z - 34))))))))))))))))))))))))))))))))))) :|: z - 34 >= 0
   0'(z) -{ 2 }-> 3'(0'(3'(3'(2'(0'(2'(3'(2'(0'(3'(1'(3'(3'(2'(0'(0'(0'(0'(1'(1'(0'(2'(2'(3'(3'(2'(1'(0'(0'(2'(3'(3'(2'(0'(z - 34))))))))))))))))))))))))))))))))))) :|: z - 34 >= 0
   0'(z) -{ 1 }-> 3'(0'(3'(3'(2'(0'(2'(3'(2'(0'(3'(1'(3'(3'(2'(0'(0'(0))))))))))))))))) :|: z - 17 >= 0
   0'(z) -{ 1 }-> 3'(0'(3'(3'(2'(0'(2'(3'(2'(0'(3'(1'(3'(3'(2'(0'(0'(1 + (z - 17)))))))))))))))))) :|: z - 17 >= 0
   0'(z) -{ 1 }-> 1'(0'(3'(1'(0'(3'(3'(3'(3'(2'(3'(2'(3'(2'(0'(2'(1'(1'(z - 17)))))))))))))))))) :|: z - 17 >= 0
   0'(z) -{ 1 }-> 1'(0'(0'(3'(2'(0'(1'(3'(2'(0'(0'(2'(3'(1'(0'(2'(1'(0'(z - 17)))))))))))))))))) :|: z - 17 >= 0
   0'(z) -{ 2 }-> 0'(3'(3'(1'(2'(1'(3'(0'(3'(3'(2'(0'(1'(1'(0'(1'(1'(3'(3'(3'(2'(0'(1'(3'(2'(0'(1'(3'(3'(1'(2'(1'(1'(2'(3'(z - 34))))))))))))))))))))))))))))))))))) :|: z - 34 >= 0
   0'(z) -{ 2 }-> 0'(3'(3'(1'(2'(1'(3'(0'(3'(3'(2'(0'(1'(1'(0'(1'(1'(3'(3'(1'(0'(3'(3'(1'(3'(3'(3'(3'(1'(1'(1'(1'(2'(0'(1'(z - 34))))))))))))))))))))))))))))))))))) :|: z - 34 >= 0
   0'(z) -{ 2 }-> 0'(3'(3'(1'(2'(1'(3'(0'(3'(3'(2'(0'(1'(1'(0'(1'(1'(3'(3'(1'(0'(1'(2'(3'(2'(0'(1'(1'(3'(3'(3'(3'(2'(3'(2'(z - 34))))))))))))))))))))))))))))))))))) :|: z - 34 >= 0
   0'(z) -{ 2 }-> 0'(3'(3'(1'(2'(1'(3'(0'(3'(3'(2'(0'(1'(1'(0'(1'(1'(3'(3'(0'(0'(3'(2'(3'(2'(0'(0'(0'(2'(3'(2'(1'(2'(3'(2'(z - 34))))))))))))))))))))))))))))))))))) :|: z - 34 >= 0
   0'(z) -{ 2 }-> 0'(3'(3'(1'(2'(1'(3'(0'(3'(3'(2'(0'(1'(1'(0'(1'(1'(3'(2'(2'(1'(0'(3'(2'(0'(0'(2'(3'(3'(2'(3'(3'(0'(0'(3'(z - 34))))))))))))))))))))))))))))))))))) :|: z - 34 >= 0
   0'(z) -{ 2 }-> 0'(3'(3'(1'(2'(1'(3'(0'(3'(3'(2'(0'(1'(1'(0'(1'(1'(3'(2'(1'(1'(1'(1'(1'(0'(3'(2'(2'(2'(1'(2'(3'(1'(1'(1'(z - 34))))))))))))))))))))))))))))))))))) :|: z - 34 >= 0
   0'(z) -{ 2 }-> 0'(3'(3'(1'(2'(1'(3'(0'(3'(3'(2'(0'(1'(1'(0'(1'(1'(3'(2'(0'(3'(2'(3'(0'(1'(0'(1'(1'(0'(3'(1'(3'(0'(2'(0'(z - 34))))))))))))))))))))))))))))))))))) :|: z - 34 >= 0
   0'(z) -{ 2 }-> 0'(3'(3'(1'(2'(1'(3'(0'(3'(3'(2'(0'(1'(1'(0'(1'(1'(3'(1'(3'(1'(0'(3'(3'(2'(1'(2'(1'(2'(0'(2'(3'(2'(0'(0'(z - 34))))))))))))))))))))))))))))))))))) :|: z - 34 >= 0
   0'(z) -{ 2 }-> 0'(3'(3'(1'(2'(1'(3'(0'(3'(3'(2'(0'(1'(1'(0'(1'(1'(3'(1'(1'(1'(2'(2'(2'(0'(3'(2'(0'(3'(2'(3'(2'(0'(0'(1'(z - 34))))))))))))))))))))))))))))))))))) :|: z - 34 >= 0
   0'(z) -{ 2 }-> 0'(3'(3'(1'(2'(1'(3'(0'(3'(3'(2'(0'(1'(1'(0'(1'(1'(3'(1'(0'(2'(2'(1'(3'(0'(0'(2'(0'(3'(2'(1'(1'(0'(2'(0'(z - 34))))))))))))))))))))))))))))))))))) :|: z - 34 >= 0
   0'(z) -{ 2 }-> 0'(3'(3'(1'(2'(1'(3'(0'(3'(3'(2'(0'(1'(1'(0'(1'(1'(3'(0'(2'(2'(3'(2'(0'(1'(3'(1'(0'(2'(1'(3'(3'(2'(0'(3'(z - 34))))))))))))))))))))))))))))))))))) :|: z - 34 >= 0
   0'(z) -{ 2 }-> 0'(3'(3'(1'(2'(1'(3'(0'(3'(3'(2'(0'(1'(1'(0'(1'(1'(3'(0'(2'(1'(0'(1'(3'(3'(2'(0'(0'(3'(0'(3'(2'(3'(1'(0'(z - 34))))))))))))))))))))))))))))))))))) :|: z - 34 >= 0
   0'(z) -{ 2 }-> 0'(3'(3'(1'(2'(1'(3'(0'(3'(3'(2'(0'(1'(1'(0'(1'(1'(2'(3'(0'(2'(3'(1'(1'(0'(2'(0'(2'(1'(1'(0'(0'(2'(0'(2'(z - 34))))))))))))))))))))))))))))))))))) :|: z - 34 >= 0
   0'(z) -{ 2 }-> 0'(3'(3'(1'(2'(1'(3'(0'(3'(3'(2'(0'(1'(1'(0'(1'(1'(1'(3'(3'(2'(0'(0'(0'(1'(3'(3'(2'(0'(1'(1'(2'(1'(2'(3'(z - 34))))))))))))))))))))))))))))))))))) :|: z - 34 >= 0
   0'(z) -{ 2 }-> 0'(3'(3'(1'(2'(1'(3'(0'(3'(3'(2'(0'(1'(1'(0'(1'(1'(0'(3'(3'(2'(1'(0'(0'(2'(3'(3'(1'(1'(0'(1'(1'(3'(2'(0'(z - 34))))))))))))))))))))))))))))))))))) :|: z - 34 >= 0
   0'(z) -{ 2 }-> 0'(3'(3'(1'(2'(1'(3'(0'(3'(3'(2'(0'(1'(1'(0'(1'(1'(0'(2'(1'(3'(3'(3'(2'(1'(1'(0'(1'(3'(3'(2'(1'(1'(3'(3'(z - 34))))))))))))))))))))))))))))))))))) :|: z - 34 >= 0
   0'(z) -{ 2 }-> 0'(3'(3'(1'(2'(1'(3'(0'(3'(3'(2'(0'(1'(1'(0'(1'(1'(0'(0'(1'(1'(0'(2'(2'(3'(3'(2'(1'(0'(0'(2'(3'(3'(2'(0'(z - 34))))))))))))))))))))))))))))))))))) :|: z - 34 >= 0
   0'(z) -{ 1 }-> 0'(3'(3'(1'(2'(1'(3'(0'(3'(3'(2'(0'(1'(1'(0'(1'(1'(0))))))))))))))))) :|: z - 17 >= 0
   0'(z) -{ 1 }-> 0'(3'(3'(1'(2'(1'(3'(0'(3'(3'(2'(0'(1'(1'(0'(1'(1'(1 + (z - 17)))))))))))))))))) :|: z - 17 >= 0
   0'(z) -{ 1 }-> 0'(3'(1'(0'(3'(2'(0'(1'(0'(1'(0'(0'(2'(0'(1'(2'(0'(1'(z - 17)))))))))))))))))) :|: z - 17 >= 0
   0'(z) -{ 1 }-> 0'(3'(0'(3'(3'(2'(3'(2'(3'(0'(0'(0'(0'(1'(1'(1'(3'(0'(z - 17)))))))))))))))))) :|: z - 17 >= 0
   0'(z) -{ 1 }-> 0'(3'(0'(2'(3'(0'(1'(3'(3'(2'(0'(0'(3'(3'(2'(1'(2'(0'(z - 17)))))))))))))))))) :|: z - 17 >= 0
   0'(z) -{ 1 }-> 0'(3'(0'(2'(1'(0'(3'(2'(1'(1'(2'(1'(3'(1'(3'(1'(1'(1'(z - 17)))))))))))))))))) :|: z - 17 >= 0
   0'(z) -{ 1 }-> 0'(3'(0'(0'(3'(3'(3'(2'(1'(3'(2'(0'(0'(1'(3'(0'(0'(0'(z - 17)))))))))))))))))) :|: z - 17 >= 0
   0'(z) -{ 2 }-> 0'(3'(0'(0'(3'(3'(0'(1'(0'(3'(0'(1'(0'(0'(2'(1'(1'(3'(3'(3'(2'(0'(1'(3'(2'(0'(1'(3'(3'(1'(2'(1'(1'(2'(3'(z - 34))))))))))))))))))))))))))))))))))) :|: z - 34 >= 0
   0'(z) -{ 2 }-> 0'(3'(0'(0'(3'(3'(0'(1'(0'(3'(0'(1'(0'(0'(2'(1'(1'(3'(3'(1'(0'(3'(3'(1'(3'(3'(3'(3'(1'(1'(1'(1'(2'(0'(1'(z - 34))))))))))))))))))))))))))))))))))) :|: z - 34 >= 0
   0'(z) -{ 2 }-> 0'(3'(0'(0'(3'(3'(0'(1'(0'(3'(0'(1'(0'(0'(2'(1'(1'(3'(3'(1'(0'(1'(2'(3'(2'(0'(1'(1'(3'(3'(3'(3'(2'(3'(2'(z - 34))))))))))))))))))))))))))))))))))) :|: z - 34 >= 0
   0'(z) -{ 2 }-> 0'(3'(0'(0'(3'(3'(0'(1'(0'(3'(0'(1'(0'(0'(2'(1'(1'(3'(3'(0'(0'(3'(2'(3'(2'(0'(0'(0'(2'(3'(2'(1'(2'(3'(2'(z - 34))))))))))))))))))))))))))))))))))) :|: z - 34 >= 0
   0'(z) -{ 2 }-> 0'(3'(0'(0'(3'(3'(0'(1'(0'(3'(0'(1'(0'(0'(2'(1'(1'(3'(2'(2'(1'(0'(3'(2'(0'(0'(2'(3'(3'(2'(3'(3'(0'(0'(3'(z - 34))))))))))))))))))))))))))))))))))) :|: z - 34 >= 0
   0'(z) -{ 2 }-> 0'(3'(0'(0'(3'(3'(0'(1'(0'(3'(0'(1'(0'(0'(2'(1'(1'(3'(2'(1'(1'(1'(1'(1'(0'(3'(2'(2'(2'(1'(2'(3'(1'(1'(1'(z - 34))))))))))))))))))))))))))))))))))) :|: z - 34 >= 0
   0'(z) -{ 2 }-> 0'(3'(0'(0'(3'(3'(0'(1'(0'(3'(0'(1'(0'(0'(2'(1'(1'(3'(2'(0'(3'(2'(3'(0'(1'(0'(1'(1'(0'(3'(1'(3'(0'(2'(0'(z - 34))))))))))))))))))))))))))))))))))) :|: z - 34 >= 0
   0'(z) -{ 2 }-> 0'(3'(0'(0'(3'(3'(0'(1'(0'(3'(0'(1'(0'(0'(2'(1'(1'(3'(1'(3'(1'(0'(3'(3'(2'(1'(2'(1'(2'(0'(2'(3'(2'(0'(0'(z - 34))))))))))))))))))))))))))))))))))) :|: z - 34 >= 0
   0'(z) -{ 2 }-> 0'(3'(0'(0'(3'(3'(0'(1'(0'(3'(0'(1'(0'(0'(2'(1'(1'(3'(1'(1'(1'(2'(2'(2'(0'(3'(2'(0'(3'(2'(3'(2'(0'(0'(1'(z - 34))))))))))))))))))))))))))))))))))) :|: z - 34 >= 0
   0'(z) -{ 2 }-> 0'(3'(0'(0'(3'(3'(0'(1'(0'(3'(0'(1'(0'(0'(2'(1'(1'(3'(1'(0'(2'(2'(1'(3'(0'(0'(2'(0'(3'(2'(1'(1'(0'(2'(0'(z - 34))))))))))))))))))))))))))))))))))) :|: z - 34 >= 0
   0'(z) -{ 2 }-> 0'(3'(0'(0'(3'(3'(0'(1'(0'(3'(0'(1'(0'(0'(2'(1'(1'(3'(0'(2'(2'(3'(2'(0'(1'(3'(1'(0'(2'(1'(3'(3'(2'(0'(3'(z - 34))))))))))))))))))))))))))))))))))) :|: z - 34 >= 0
   0'(z) -{ 2 }-> 0'(3'(0'(0'(3'(3'(0'(1'(0'(3'(0'(1'(0'(0'(2'(1'(1'(3'(0'(2'(1'(0'(1'(3'(3'(2'(0'(0'(3'(0'(3'(2'(3'(1'(0'(z - 34))))))))))))))))))))))))))))))))))) :|: z - 34 >= 0
   0'(z) -{ 2 }-> 0'(3'(0'(0'(3'(3'(0'(1'(0'(3'(0'(1'(0'(0'(2'(1'(1'(2'(3'(0'(2'(3'(1'(1'(0'(2'(0'(2'(1'(1'(0'(0'(2'(0'(2'(z - 34))))))))))))))))))))))))))))))))))) :|: z - 34 >= 0
   0'(z) -{ 2 }-> 0'(3'(0'(0'(3'(3'(0'(1'(0'(3'(0'(1'(0'(0'(2'(1'(1'(1'(3'(3'(2'(0'(0'(0'(1'(3'(3'(2'(0'(1'(1'(2'(1'(2'(3'(z - 34))))))))))))))))))))))))))))))))))) :|: z - 34 >= 0
   0'(z) -{ 2 }-> 0'(3'(0'(0'(3'(3'(0'(1'(0'(3'(0'(1'(0'(0'(2'(1'(1'(0'(3'(3'(2'(1'(0'(0'(2'(3'(3'(1'(1'(0'(1'(1'(3'(2'(0'(z - 34))))))))))))))))))))))))))))))))))) :|: z - 34 >= 0
   0'(z) -{ 2 }-> 0'(3'(0'(0'(3'(3'(0'(1'(0'(3'(0'(1'(0'(0'(2'(1'(1'(0'(2'(1'(3'(3'(3'(2'(1'(1'(0'(1'(3'(3'(2'(1'(1'(3'(3'(z - 34))))))))))))))))))))))))))))))))))) :|: z - 34 >= 0
   0'(z) -{ 2 }-> 0'(3'(0'(0'(3'(3'(0'(1'(0'(3'(0'(1'(0'(0'(2'(1'(1'(0'(0'(1'(1'(0'(2'(2'(3'(3'(2'(1'(0'(0'(2'(3'(3'(2'(0'(z - 34))))))))))))))))))))))))))))))))))) :|: z - 34 >= 0
   0'(z) -{ 1 }-> 0'(3'(0'(0'(3'(3'(0'(1'(0'(3'(0'(1'(0'(0'(2'(1'(1'(0))))))))))))))))) :|: z - 17 >= 0
   0'(z) -{ 1 }-> 0'(3'(0'(0'(3'(3'(0'(1'(0'(3'(0'(1'(0'(0'(2'(1'(1'(1 + (z - 17)))))))))))))))))) :|: z - 17 >= 0
   0'(z) -{ 1 }-> 0'(3'(0'(0'(2'(1'(3'(1'(2'(3'(2'(1'(0'(0'(0'(3'(2'(0'(z - 17)))))))))))))))))) :|: z - 17 >= 0
   0'(z) -{ 1 }-> 0'(2'(2'(1'(1'(0'(2'(3'(0'(0'(2'(0'(2'(1'(3'(2'(3'(0'(z - 17)))))))))))))))))) :|: z - 17 >= 0
   0'(z) -{ 2 }-> 0'(2'(1'(0'(1'(0'(1'(0'(0'(3'(3'(2'(3'(0'(2'(3'(2'(3'(3'(3'(2'(0'(1'(3'(2'(0'(1'(3'(3'(1'(2'(1'(1'(2'(3'(z - 34))))))))))))))))))))))))))))))))))) :|: z - 34 >= 0
   0'(z) -{ 2 }-> 0'(2'(1'(0'(1'(0'(1'(0'(0'(3'(3'(2'(3'(0'(2'(3'(2'(3'(3'(1'(0'(3'(3'(1'(3'(3'(3'(3'(1'(1'(1'(1'(2'(0'(1'(z - 34))))))))))))))))))))))))))))))))))) :|: z - 34 >= 0
   0'(z) -{ 2 }-> 0'(2'(1'(0'(1'(0'(1'(0'(0'(3'(3'(2'(3'(0'(2'(3'(2'(3'(3'(1'(0'(1'(2'(3'(2'(0'(1'(1'(3'(3'(3'(3'(2'(3'(2'(z - 34))))))))))))))))))))))))))))))))))) :|: z - 34 >= 0
   0'(z) -{ 2 }-> 0'(2'(1'(0'(1'(0'(1'(0'(0'(3'(3'(2'(3'(0'(2'(3'(2'(3'(3'(0'(0'(3'(2'(3'(2'(0'(0'(0'(2'(3'(2'(1'(2'(3'(2'(z - 34))))))))))))))))))))))))))))))))))) :|: z - 34 >= 0
   0'(z) -{ 2 }-> 0'(2'(1'(0'(1'(0'(1'(0'(0'(3'(3'(2'(3'(0'(2'(3'(2'(3'(2'(2'(1'(0'(3'(2'(0'(0'(2'(3'(3'(2'(3'(3'(0'(0'(3'(z - 34))))))))))))))))))))))))))))))))))) :|: z - 34 >= 0
   0'(z) -{ 2 }-> 0'(2'(1'(0'(1'(0'(1'(0'(0'(3'(3'(2'(3'(0'(2'(3'(2'(3'(2'(1'(1'(1'(1'(1'(0'(3'(2'(2'(2'(1'(2'(3'(1'(1'(1'(z - 34))))))))))))))))))))))))))))))))))) :|: z - 34 >= 0
   0'(z) -{ 2 }-> 0'(2'(1'(0'(1'(0'(1'(0'(0'(3'(3'(2'(3'(0'(2'(3'(2'(3'(2'(0'(3'(2'(3'(0'(1'(0'(1'(1'(0'(3'(1'(3'(0'(2'(0'(z - 34))))))))))))))))))))))))))))))))))) :|: z - 34 >= 0
   0'(z) -{ 2 }-> 0'(2'(1'(0'(1'(0'(1'(0'(0'(3'(3'(2'(3'(0'(2'(3'(2'(3'(1'(3'(1'(0'(3'(3'(2'(1'(2'(1'(2'(0'(2'(3'(2'(0'(0'(z - 34))))))))))))))))))))))))))))))))))) :|: z - 34 >= 0
   0'(z) -{ 2 }-> 0'(2'(1'(0'(1'(0'(1'(0'(0'(3'(3'(2'(3'(0'(2'(3'(2'(3'(1'(1'(1'(2'(2'(2'(0'(3'(2'(0'(3'(2'(3'(2'(0'(0'(1'(z - 34))))))))))))))))))))))))))))))))))) :|: z - 34 >= 0
   0'(z) -{ 2 }-> 0'(2'(1'(0'(1'(0'(1'(0'(0'(3'(3'(2'(3'(0'(2'(3'(2'(3'(1'(0'(2'(2'(1'(3'(0'(0'(2'(0'(3'(2'(1'(1'(0'(2'(0'(z - 34))))))))))))))))))))))))))))))))))) :|: z - 34 >= 0
   0'(z) -{ 2 }-> 0'(2'(1'(0'(1'(0'(1'(0'(0'(3'(3'(2'(3'(0'(2'(3'(2'(3'(0'(2'(2'(3'(2'(0'(1'(3'(1'(0'(2'(1'(3'(3'(2'(0'(3'(z - 34))))))))))))))))))))))))))))))))))) :|: z - 34 >= 0
   0'(z) -{ 2 }-> 0'(2'(1'(0'(1'(0'(1'(0'(0'(3'(3'(2'(3'(0'(2'(3'(2'(3'(0'(2'(1'(0'(1'(3'(3'(2'(0'(0'(3'(0'(3'(2'(3'(1'(0'(z - 34))))))))))))))))))))))))))))))))))) :|: z - 34 >= 0
   0'(z) -{ 2 }-> 0'(2'(1'(0'(1'(0'(1'(0'(0'(3'(3'(2'(3'(0'(2'(3'(2'(2'(3'(0'(2'(3'(1'(1'(0'(2'(0'(2'(1'(1'(0'(0'(2'(0'(2'(z - 34))))))))))))))))))))))))))))))))))) :|: z - 34 >= 0
   0'(z) -{ 2 }-> 0'(2'(1'(0'(1'(0'(1'(0'(0'(3'(3'(2'(3'(0'(2'(3'(2'(1'(3'(3'(2'(0'(0'(0'(1'(3'(3'(2'(0'(1'(1'(2'(1'(2'(3'(z - 34))))))))))))))))))))))))))))))))))) :|: z - 34 >= 0
   0'(z) -{ 2 }-> 0'(2'(1'(0'(1'(0'(1'(0'(0'(3'(3'(2'(3'(0'(2'(3'(2'(0'(3'(3'(2'(1'(0'(0'(2'(3'(3'(1'(1'(0'(1'(1'(3'(2'(0'(z - 34))))))))))))))))))))))))))))))))))) :|: z - 34 >= 0
   0'(z) -{ 2 }-> 0'(2'(1'(0'(1'(0'(1'(0'(0'(3'(3'(2'(3'(0'(2'(3'(2'(0'(2'(1'(3'(3'(3'(2'(1'(1'(0'(1'(3'(3'(2'(1'(1'(3'(3'(z - 34))))))))))))))))))))))))))))))))))) :|: z - 34 >= 0
   0'(z) -{ 2 }-> 0'(2'(1'(0'(1'(0'(1'(0'(0'(3'(3'(2'(3'(0'(2'(3'(2'(0'(0'(1'(1'(0'(2'(2'(3'(3'(2'(1'(0'(0'(2'(3'(3'(2'(0'(z - 34))))))))))))))))))))))))))))))))))) :|: z - 34 >= 0
   0'(z) -{ 1 }-> 0'(2'(1'(0'(1'(0'(1'(0'(0'(3'(3'(2'(3'(0'(2'(3'(2'(0))))))))))))))))) :|: z - 17 >= 0
   0'(z) -{ 1 }-> 0'(2'(1'(0'(1'(0'(1'(0'(0'(3'(3'(2'(3'(0'(2'(3'(2'(1 + (z - 17)))))))))))))))))) :|: z - 17 >= 0
   0'(z) -{ 1 }-> 0'(2'(1'(0'(0'(3'(2'(0'(0'(3'(3'(3'(1'(1'(0'(1'(2'(0'(z - 17)))))))))))))))))) :|: z - 17 >= 0
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   3'(z) -{ 2 }-> 1'(3'(3'(2'(0'(0'(0'(1'(3'(3'(2'(0'(1'(1'(2'(1'(2'(3'(2'(1'(1'(1'(1'(1'(0'(3'(2'(2'(2'(1'(2'(3'(1'(1'(1'(z - 34))))))))))))))))))))))))))))))))))) :|: z - 34 >= 0
   3'(z) -{ 2 }-> 1'(3'(3'(2'(0'(0'(0'(1'(3'(3'(2'(0'(1'(1'(2'(1'(2'(3'(2'(0'(3'(2'(3'(0'(1'(0'(1'(1'(0'(3'(1'(3'(0'(2'(0'(z - 34))))))))))))))))))))))))))))))))))) :|: z - 34 >= 0
   3'(z) -{ 2 }-> 1'(3'(3'(2'(0'(0'(0'(1'(3'(3'(2'(0'(1'(1'(2'(1'(2'(3'(1'(3'(1'(0'(3'(3'(2'(1'(2'(1'(2'(0'(2'(3'(2'(0'(0'(z - 34))))))))))))))))))))))))))))))))))) :|: z - 34 >= 0
   3'(z) -{ 2 }-> 1'(3'(3'(2'(0'(0'(0'(1'(3'(3'(2'(0'(1'(1'(2'(1'(2'(3'(1'(1'(1'(2'(2'(2'(0'(3'(2'(0'(3'(2'(3'(2'(0'(0'(1'(z - 34))))))))))))))))))))))))))))))))))) :|: z - 34 >= 0
   3'(z) -{ 2 }-> 1'(3'(3'(2'(0'(0'(0'(1'(3'(3'(2'(0'(1'(1'(2'(1'(2'(3'(1'(0'(2'(2'(1'(3'(0'(0'(2'(0'(3'(2'(1'(1'(0'(2'(0'(z - 34))))))))))))))))))))))))))))))))))) :|: z - 34 >= 0
   3'(z) -{ 2 }-> 1'(3'(3'(2'(0'(0'(0'(1'(3'(3'(2'(0'(1'(1'(2'(1'(2'(3'(0'(2'(2'(3'(2'(0'(1'(3'(1'(0'(2'(1'(3'(3'(2'(0'(3'(z - 34))))))))))))))))))))))))))))))))))) :|: z - 34 >= 0
   3'(z) -{ 2 }-> 1'(3'(3'(2'(0'(0'(0'(1'(3'(3'(2'(0'(1'(1'(2'(1'(2'(3'(0'(2'(1'(0'(1'(3'(3'(2'(0'(0'(3'(0'(3'(2'(3'(1'(0'(z - 34))))))))))))))))))))))))))))))))))) :|: z - 34 >= 0
   3'(z) -{ 2 }-> 1'(3'(3'(2'(0'(0'(0'(1'(3'(3'(2'(0'(1'(1'(2'(1'(2'(2'(3'(0'(2'(3'(1'(1'(0'(2'(0'(2'(1'(1'(0'(0'(2'(0'(2'(z - 34))))))))))))))))))))))))))))))))))) :|: z - 34 >= 0
   3'(z) -{ 2 }-> 1'(3'(3'(2'(0'(0'(0'(1'(3'(3'(2'(0'(1'(1'(2'(1'(2'(1'(3'(3'(2'(0'(0'(0'(1'(3'(3'(2'(0'(1'(1'(2'(1'(2'(3'(z - 34))))))))))))))))))))))))))))))))))) :|: z - 34 >= 0
   3'(z) -{ 2 }-> 1'(3'(3'(2'(0'(0'(0'(1'(3'(3'(2'(0'(1'(1'(2'(1'(2'(0'(3'(3'(2'(1'(0'(0'(2'(3'(3'(1'(1'(0'(1'(1'(3'(2'(0'(z - 34))))))))))))))))))))))))))))))))))) :|: z - 34 >= 0
   3'(z) -{ 2 }-> 1'(3'(3'(2'(0'(0'(0'(1'(3'(3'(2'(0'(1'(1'(2'(1'(2'(0'(2'(1'(3'(3'(3'(2'(1'(1'(0'(1'(3'(3'(2'(1'(1'(3'(3'(z - 34))))))))))))))))))))))))))))))))))) :|: z - 34 >= 0
   3'(z) -{ 2 }-> 1'(3'(3'(2'(0'(0'(0'(1'(3'(3'(2'(0'(1'(1'(2'(1'(2'(0'(0'(1'(1'(0'(2'(2'(3'(3'(2'(1'(0'(0'(2'(3'(3'(2'(0'(z - 34))))))))))))))))))))))))))))))))))) :|: z - 34 >= 0
   3'(z) -{ 1 }-> 1'(3'(3'(2'(0'(0'(0'(1'(3'(3'(2'(0'(1'(1'(2'(1'(2'(0))))))))))))))))) :|: z - 17 >= 0
   3'(z) -{ 1 }-> 1'(3'(3'(2'(0'(0'(0'(1'(3'(3'(2'(0'(1'(1'(2'(1'(2'(1 + (z - 17)))))))))))))))))) :|: z - 17 >= 0
   3'(z) -{ 1 }-> 0'(3'(3'(2'(1'(0'(0'(2'(3'(3'(1'(1'(0'(1'(1'(3'(2'(0'(z - 17)))))))))))))))))) :|: z - 17 >= 0
   3'(z) -{ 2 }-> 0'(2'(1'(3'(3'(3'(2'(1'(1'(0'(1'(3'(3'(2'(1'(1'(3'(3'(3'(3'(2'(0'(1'(3'(2'(0'(1'(3'(3'(1'(2'(1'(1'(2'(3'(z - 34))))))))))))))))))))))))))))))))))) :|: z - 34 >= 0
   3'(z) -{ 2 }-> 0'(2'(1'(3'(3'(3'(2'(1'(1'(0'(1'(3'(3'(2'(1'(1'(3'(3'(3'(1'(0'(3'(3'(1'(3'(3'(3'(3'(1'(1'(1'(1'(2'(0'(1'(z - 34))))))))))))))))))))))))))))))))))) :|: z - 34 >= 0
   3'(z) -{ 2 }-> 0'(2'(1'(3'(3'(3'(2'(1'(1'(0'(1'(3'(3'(2'(1'(1'(3'(3'(3'(1'(0'(1'(2'(3'(2'(0'(1'(1'(3'(3'(3'(3'(2'(3'(2'(z - 34))))))))))))))))))))))))))))))))))) :|: z - 34 >= 0
   3'(z) -{ 2 }-> 0'(2'(1'(3'(3'(3'(2'(1'(1'(0'(1'(3'(3'(2'(1'(1'(3'(3'(3'(0'(0'(3'(2'(3'(2'(0'(0'(0'(2'(3'(2'(1'(2'(3'(2'(z - 34))))))))))))))))))))))))))))))))))) :|: z - 34 >= 0
   3'(z) -{ 2 }-> 0'(2'(1'(3'(3'(3'(2'(1'(1'(0'(1'(3'(3'(2'(1'(1'(3'(3'(2'(2'(1'(0'(3'(2'(0'(0'(2'(3'(3'(2'(3'(3'(0'(0'(3'(z - 34))))))))))))))))))))))))))))))))))) :|: z - 34 >= 0
   3'(z) -{ 2 }-> 0'(2'(1'(3'(3'(3'(2'(1'(1'(0'(1'(3'(3'(2'(1'(1'(3'(3'(2'(1'(1'(1'(1'(1'(0'(3'(2'(2'(2'(1'(2'(3'(1'(1'(1'(z - 34))))))))))))))))))))))))))))))))))) :|: z - 34 >= 0
   3'(z) -{ 2 }-> 0'(2'(1'(3'(3'(3'(2'(1'(1'(0'(1'(3'(3'(2'(1'(1'(3'(3'(2'(0'(3'(2'(3'(0'(1'(0'(1'(1'(0'(3'(1'(3'(0'(2'(0'(z - 34))))))))))))))))))))))))))))))))))) :|: z - 34 >= 0
   3'(z) -{ 2 }-> 0'(2'(1'(3'(3'(3'(2'(1'(1'(0'(1'(3'(3'(2'(1'(1'(3'(3'(1'(3'(1'(0'(3'(3'(2'(1'(2'(1'(2'(0'(2'(3'(2'(0'(0'(z - 34))))))))))))))))))))))))))))))))))) :|: z - 34 >= 0
   3'(z) -{ 2 }-> 0'(2'(1'(3'(3'(3'(2'(1'(1'(0'(1'(3'(3'(2'(1'(1'(3'(3'(1'(1'(1'(2'(2'(2'(0'(3'(2'(0'(3'(2'(3'(2'(0'(0'(1'(z - 34))))))))))))))))))))))))))))))))))) :|: z - 34 >= 0
   3'(z) -{ 2 }-> 0'(2'(1'(3'(3'(3'(2'(1'(1'(0'(1'(3'(3'(2'(1'(1'(3'(3'(1'(0'(2'(2'(1'(3'(0'(0'(2'(0'(3'(2'(1'(1'(0'(2'(0'(z - 34))))))))))))))))))))))))))))))))))) :|: z - 34 >= 0
   3'(z) -{ 2 }-> 0'(2'(1'(3'(3'(3'(2'(1'(1'(0'(1'(3'(3'(2'(1'(1'(3'(3'(0'(2'(2'(3'(2'(0'(1'(3'(1'(0'(2'(1'(3'(3'(2'(0'(3'(z - 34))))))))))))))))))))))))))))))))))) :|: z - 34 >= 0
   3'(z) -{ 2 }-> 0'(2'(1'(3'(3'(3'(2'(1'(1'(0'(1'(3'(3'(2'(1'(1'(3'(3'(0'(2'(1'(0'(1'(3'(3'(2'(0'(0'(3'(0'(3'(2'(3'(1'(0'(z - 34))))))))))))))))))))))))))))))))))) :|: z - 34 >= 0
   3'(z) -{ 2 }-> 0'(2'(1'(3'(3'(3'(2'(1'(1'(0'(1'(3'(3'(2'(1'(1'(3'(2'(3'(0'(2'(3'(1'(1'(0'(2'(0'(2'(1'(1'(0'(0'(2'(0'(2'(z - 34))))))))))))))))))))))))))))))))))) :|: z - 34 >= 0
   3'(z) -{ 2 }-> 0'(2'(1'(3'(3'(3'(2'(1'(1'(0'(1'(3'(3'(2'(1'(1'(3'(1'(3'(3'(2'(0'(0'(0'(1'(3'(3'(2'(0'(1'(1'(2'(1'(2'(3'(z - 34))))))))))))))))))))))))))))))))))) :|: z - 34 >= 0
   3'(z) -{ 2 }-> 0'(2'(1'(3'(3'(3'(2'(1'(1'(0'(1'(3'(3'(2'(1'(1'(3'(0'(3'(3'(2'(1'(0'(0'(2'(3'(3'(1'(1'(0'(1'(1'(3'(2'(0'(z - 34))))))))))))))))))))))))))))))))))) :|: z - 34 >= 0
   3'(z) -{ 2 }-> 0'(2'(1'(3'(3'(3'(2'(1'(1'(0'(1'(3'(3'(2'(1'(1'(3'(0'(2'(1'(3'(3'(3'(2'(1'(1'(0'(1'(3'(3'(2'(1'(1'(3'(3'(z - 34))))))))))))))))))))))))))))))))))) :|: z - 34 >= 0
   3'(z) -{ 2 }-> 0'(2'(1'(3'(3'(3'(2'(1'(1'(0'(1'(3'(3'(2'(1'(1'(3'(0'(0'(1'(1'(0'(2'(2'(3'(3'(2'(1'(0'(0'(2'(3'(3'(2'(0'(z - 34))))))))))))))))))))))))))))))))))) :|: z - 34 >= 0
   3'(z) -{ 1 }-> 0'(2'(1'(3'(3'(3'(2'(1'(1'(0'(1'(3'(3'(2'(1'(1'(3'(0))))))))))))))))) :|: z - 17 >= 0
   3'(z) -{ 1 }-> 0'(2'(1'(3'(3'(3'(2'(1'(1'(0'(1'(3'(3'(2'(1'(1'(3'(1 + (z - 17)))))))))))))))))) :|: z - 17 >= 0
   3'(z) -{ 1 }-> 0'(0'(1'(1'(0'(2'(2'(3'(3'(2'(1'(0'(0'(2'(3'(3'(2'(0'(z - 17)))))))))))))))))) :|: z - 17 >= 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_3(v0) -> null_encode_3 [0]
   encode_1(v0) -> null_encode_1 [0]
   encode_2(v0) -> null_encode_2 [0]
   0'(v0) -> null_0' [0]
   1'(v0) -> null_1' [0]
   2'(v0) -> null_2' [0]
   3'(v0) -> null_3' [0]

And the following fresh constants:    null_encArg, null_encode_0, null_encode_3, null_encode_1, null_encode_2, 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_0(c_0(c_1(c_0(c_0(c_0(c_2(c_1(c_1(c_2(c_0(c_1(c_0(c_1(c_2(c_0(c_0(x1)))))))))))))))))) -> 0'(1'(0'(1'(1'(0'(0'(2'(1'(1'(0'(0'(2'(0'(2'(0'(0'(0'(x1)))))))))))))))))) [1]
   2'(c_3(c_1(c_1(c_2(c_0(c_2(c_0(c_3(c_2(c_2(c_3(c_1(c_2(c_2(c_3(c_0(c_0(x1)))))))))))))))))) -> 2'(2'(2'(2'(1'(3'(0'(2'(0'(3'(2'(1'(0'(1'(0'(3'(2'(3'(x1)))))))))))))))))) [1]
   3'(c_2(c_1(c_1(c_1(c_3(c_1(c_1(c_2(c_2(c_1(c_2(c_1(c_1(c_2(c_3(c_0(c_1(x1)))))))))))))))))) -> 3'(2'(1'(1'(1'(1'(1'(0'(3'(2'(2'(2'(1'(2'(3'(1'(1'(1'(x1)))))))))))))))))) [1]
   0'(c_0(c_1(c_3(c_2(c_1(c_0(c_0(c_3(c_2(c_3(c_1(c_3(c_0(c_0(c_2(c_0(c_0(x1)))))))))))))))))) -> 0'(0'(2'(3'(2'(0'(1'(0'(2'(1'(0'(1'(0'(3'(0'(3'(0'(3'(x1)))))))))))))))))) [1]
   2'(c_2(c_0(c_2(c_3(c_3(c_2(c_2(c_0(c_3(c_1(c_0(c_0(c_2(c_2(c_3(c_0(c_0(x1)))))))))))))))))) -> 2'(2'(0'(0'(3'(3'(2'(3'(2'(3'(2'(0'(2'(0'(0'(0'(1'(2'(x1)))))))))))))))))) [1]
   0'(c_3(c_1(c_2(c_3(c_1(c_0(c_3(c_3(c_3(c_1(c_3(c_0(c_3(c_2(c_2(c_1(c_2(x1)))))))))))))))))) -> 1'(0'(3'(1'(0'(3'(3'(3'(3'(2'(3'(2'(3'(2'(0'(2'(1'(1'(x1)))))))))))))))))) [1]
   0'(c_0(c_3(c_0(c_3(c_1(c_2(c_0(c_3(c_0(c_3(c_1(c_0(c_0(c_1(c_0(c_1(c_3(x1)))))))))))))))))) -> 0'(3'(0'(0'(3'(3'(0'(1'(0'(3'(0'(1'(0'(0'(2'(1'(1'(3'(x1)))))))))))))))))) [1]
   2'(c_2(c_3(c_3(c_1(c_2(c_3(c_2(c_1(c_2(c_1(c_3(c_2(c_2(c_1(c_1(c_2(c_1(x1)))))))))))))))))) -> 2'(1'(1'(1'(2'(2'(3'(2'(3'(3'(3'(2'(1'(2'(1'(2'(2'(1'(x1)))))))))))))))))) [1]
   0'(c_2(c_3(c_3(c_1(c_0(c_3(c_0(c_0(c_0(c_2(c_0(c_1(c_3(c_1(c_3(c_3(c_0(x1)))))))))))))))))) -> 0'(3'(0'(3'(3'(2'(3'(2'(3'(0'(0'(0'(0'(1'(1'(1'(3'(0'(x1)))))))))))))))))) [1]
   1'(c_3(c_0(c_3(c_3(c_0(c_2(c_3(c_1(c_0(c_0(c_0(c_3(c_2(c_1(c_2(c_3(c_3(x1)))))))))))))))))) -> 1'(3'(0'(2'(0'(0'(3'(1'(0'(2'(1'(0'(2'(3'(3'(3'(3'(3'(x1)))))))))))))))))) [1]
   1'(c_2(c_1(c_2(c_2(c_0(c_1(c_3(c_0(c_2(c_3(c_2(c_2(c_3(c_2(c_3(c_3(c_0(x1)))))))))))))))))) -> 1'(2'(0'(3'(0'(2'(2'(1'(3'(3'(2'(2'(2'(3'(3'(2'(1'(0'(x1)))))))))))))))))) [1]
   3'(c_1(c_2(c_1(c_0(c_3(c_1(c_1(c_2(c_2(c_3(c_0(c_2(c_2(c_3(c_0(c_2(c_0(x1)))))))))))))))))) -> 3'(1'(1'(1'(2'(2'(2'(0'(3'(2'(0'(3'(2'(3'(2'(0'(0'(1'(x1)))))))))))))))))) [1]
   1'(c_2(c_0(c_0(c_1(c_1(c_0(c_1(c_2(c_0(c_1(c_1(c_2(c_0(c_0(c_3(c_3(c_1(x1)))))))))))))))))) -> 1'(1'(1'(0'(1'(0'(1'(0'(1'(0'(0'(2'(0'(1'(3'(3'(2'(2'(x1)))))))))))))))))) [1]
   2'(c_3(c_0(c_0(c_3(c_0(c_0(c_3(c_0(c_2(c_2(c_2(c_2(c_3(c_2(c_0(c_3(c_0(x1)))))))))))))))))) -> 2'(2'(3'(0'(2'(0'(0'(2'(0'(3'(3'(2'(3'(3'(2'(0'(0'(0'(x1)))))))))))))))))) [1]
   3'(c_3(c_1(c_1(c_3(c_1(c_0(c_1(c_3(c_1(c_2(c_3(c_3(c_3(c_1(c_1(c_3(c_0(x1)))))))))))))))))) -> 3'(3'(1'(0'(3'(3'(1'(3'(3'(3'(3'(1'(1'(1'(1'(2'(0'(1'(x1)))))))))))))))))) [1]
   0'(c_0(c_1(c_3(c_1(c_0(c_3(c_1(c_1(c_3(c_1(c_2(c_3(c_1(c_2(c_2(c_1(c_1(x1)))))))))))))))))) -> 0'(3'(0'(2'(1'(0'(3'(2'(1'(1'(2'(1'(3'(1'(3'(1'(1'(1'(x1)))))))))))))))))) [1]
   2'(c_0(c_1(c_1(c_2(c_1(c_1(c_2(c_2(c_1(c_1(c_2(c_1(c_2(c_2(c_0(c_0(c_2(x1)))))))))))))))))) -> 2'(0'(2'(1'(2'(1'(0'(2'(2'(2'(1'(2'(1'(0'(2'(1'(1'(1'(x1)))))))))))))))))) [1]
   1'(c_0(c_0(c_0(c_3(c_0(c_0(c_1(c_3(c_1(c_2(c_1(c_2(c_2(c_1(c_2(c_3(c_1(x1)))))))))))))))))) -> 1'(3'(0'(0'(0'(3'(2'(1'(2'(1'(0'(0'(1'(3'(2'(2'(1'(1'(x1)))))))))))))))))) [1]
   0'(c_0(c_3(c_2(c_1(c_3(c_1(c_3(c_3(c_0(c_1(c_2(c_0(c_0(c_0(c_2(c_0(c_2(x1)))))))))))))))))) -> 0'(3'(0'(0'(2'(1'(3'(1'(2'(3'(2'(1'(0'(0'(0'(3'(2'(0'(x1)))))))))))))))))) [1]
   2'(c_2(c_1(c_1(c_3(c_0(c_0(c_3(c_2(c_3(c_1(c_2(c_1(c_0(c_0(c_2(c_1(c_2(x1)))))))))))))))))) -> 2'(1'(0'(0'(2'(1'(0'(3'(3'(2'(2'(1'(1'(1'(0'(3'(2'(2'(x1)))))))))))))))))) [1]
   1'(c_0(c_2(c_3(c_1(c_3(c_2(c_2(c_3(c_1(c_2(c_0(c_1(c_0(c_3(c_0(c_0(c_0(x1)))))))))))))))))) -> 1'(0'(3'(3'(2'(1'(3'(2'(3'(0'(1'(2'(0'(0'(2'(1'(0'(0'(x1)))))))))))))))))) [1]
   3'(c_1(c_3(c_0(c_3(c_0(c_3(c_2(c_2(c_3(c_0(c_2(c_3(c_1(c_2(c_1(c_0(c_2(x1)))))))))))))))))) -> 3'(0'(2'(2'(3'(2'(0'(1'(3'(1'(0'(2'(1'(3'(3'(2'(0'(3'(x1)))))))))))))))))) [1]
   1'(c_3(c_1(c_2(c_2(c_2(c_0(c_3(c_3(c_2(c_1(c_0(c_3(c_3(c_0(c_0(c_3(c_0(x1)))))))))))))))))) -> 1'(3'(2'(3'(0'(2'(3'(3'(3'(0'(0'(2'(0'(1'(3'(2'(1'(0'(x1)))))))))))))))))) [1]
   2'(c_2(c_3(c_3(c_3(c_3(c_3(c_1(c_2(c_0(c_1(c_1(c_1(c_2(c_3(c_1(c_2(c_1(x1)))))))))))))))))) -> 1'(3'(3'(3'(2'(0'(1'(2'(1'(2'(1'(3'(2'(3'(3'(2'(1'(1'(x1)))))))))))))))))) [1]
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   2'(c_2(c_3(c_1(c_1(c_2(c_2(c_0(c_1(c_0(c_1(c_0(c_1(c_0(c_1(c_3(c_1(c_0(x1)))))))))))))))))) -> 2'(0'(1'(0'(1'(1'(0'(3'(2'(1'(1'(0'(2'(2'(3'(1'(1'(0'(x1)))))))))))))))))) [1]
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   1'(c_2(c_1(c_0(c_1(c_3(c_0(c_3(c_3(c_1(c_3(c_1(c_2(c_2(c_3(c_0(c_2(c_0(x1)))))))))))))))))) -> 1'(1'(3'(3'(2'(0'(0'(3'(2'(1'(2'(3'(3'(2'(0'(1'(1'(0'(x1)))))))))))))))))) [1]
   2'(c_2(c_3(c_1(c_2(c_2(c_2(c_1(c_2(c_0(c_1(c_3(c_2(c_2(c_3(c_3(c_0(c_0(x1)))))))))))))))))) -> 2'(1'(2'(2'(3'(3'(2'(2'(0'(1'(0'(2'(2'(3'(1'(0'(2'(3'(x1)))))))))))))))))) [1]
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   1'(c_0(c_3(c_0(c_2(c_3(c_0(c_3(c_1(c_3(c_1(c_1(c_2(c_0(c_3(c_0(c_3(c_0(x1)))))))))))))))))) -> 1'(0'(1'(0'(2'(3'(0'(3'(0'(3'(0'(3'(3'(1'(0'(2'(1'(3'(x1)))))))))))))))))) [1]
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   2'(c_0(c_0(c_3(c_0(c_3(c_1(c_1(c_2(c_2(c_2(c_2(c_3(c_2(c_0(c_0(c_3(c_0(x1)))))))))))))))))) -> 2'(0'(3'(0'(1'(3'(2'(2'(3'(0'(1'(3'(2'(2'(0'(2'(0'(0'(x1)))))))))))))))))) [1]
   0'(c_0(c_1(c_2(c_0(c_1(c_0(c_1(c_1(c_0(c_1(c_2(c_2(c_3(c_3(c_1(c_2(c_2(x1)))))))))))))))))) -> 0'(2'(0'(1'(2'(3'(1'(1'(0'(0'(2'(3'(2'(1'(1'(1'(0'(2'(x1)))))))))))))))))) [1]
   0'(c_2(c_2(c_3(c_2(c_3(c_2(c_2(c_2(c_2(c_2(c_3(c_3(c_0(c_0(c_0(c_0(c_3(x1)))))))))))))))))) -> 0'(2'(0'(3'(2'(2'(0'(3'(3'(3'(2'(2'(2'(0'(2'(0'(2'(3'(x1)))))))))))))))))) [1]
   2'(c_0(c_0(c_0(c_0(c_3(c_1(c_2(c_2(c_0(c_3(c_0(c_2(c_0(c_3(c_1(c_3(c_2(x1)))))))))))))))))) -> 2'(0'(1'(0'(2'(3'(2'(0'(3'(3'(2'(3'(0'(2'(1'(0'(0'(0'(x1)))))))))))))))))) [1]
   3'(c_0(c_2(c_0(c_3(c_1(c_1(c_3(c_2(c_1(c_3(c_0(c_2(c_0(c_2(c_1(c_1(c_3(x1)))))))))))))))))) -> 1'(3'(3'(2'(0'(0'(0'(1'(3'(3'(2'(0'(1'(1'(2'(1'(2'(3'(x1)))))))))))))))))) [1]
   3'(c_3(c_0(c_3(c_0(c_0(c_2(c_3(c_0(c_2(c_3(c_3(c_1(c_2(c_2(c_2(c_2(c_0(x1)))))))))))))))))) -> 3'(3'(0'(0'(3'(2'(3'(2'(0'(0'(0'(2'(3'(2'(1'(2'(3'(2'(x1)))))))))))))))))) [1]
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   2'(c_0(c_0(c_3(c_1(c_2(c_1(c_3(c_0(c_2(c_2(c_2(c_1(c_2(c_2(c_2(c_3(c_1(x1)))))))))))))))))) -> 2'(1'(0'(3'(2'(2'(1'(2'(3'(2'(2'(0'(3'(2'(2'(0'(1'(1'(x1)))))))))))))))))) [1]
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   3'(c_2(c_2(c_3(c_0(c_0(c_3(c_0(c_0(c_2(c_3(c_0(c_1(c_1(c_1(c_1(c_3(c_0(x1)))))))))))))))))) -> 3'(2'(0'(3'(2'(3'(0'(1'(0'(1'(1'(0'(3'(1'(3'(0'(2'(0'(x1)))))))))))))))))) [1]
   0'(c_0(c_2(c_3(c_3(c_3(c_0(c_0(c_1(c_1(c_2(c_2(c_0(c_3(c_2(c_3(c_3(c_0(x1)))))))))))))))))) -> 0'(3'(0'(2'(3'(0'(1'(3'(3'(2'(0'(0'(3'(3'(2'(1'(2'(0'(x1)))))))))))))))))) [1]
   0'(c_1(c_3(c_0(c_1(c_0(c_1(c_1(c_2(c_2(c_2(c_3(c_3(c_0(c_3(c_0(c_0(c_0(x1)))))))))))))))))) -> 0'(2'(1'(0'(0'(3'(2'(0'(0'(3'(3'(3'(1'(1'(0'(1'(2'(0'(x1)))))))))))))))))) [1]
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   3'(c_0(c_2(c_2(c_0(c_0(c_1(c_2(c_3(c_0(c_0(c_1(c_1(c_2(c_0(c_1(c_2(c_2(x1)))))))))))))))))) -> 2'(3'(0'(2'(3'(1'(1'(0'(2'(0'(2'(1'(1'(0'(0'(2'(0'(2'(x1)))))))))))))))))) [1]
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   encArg(cons_0(x_1)) -> 0'(encArg(x_1)) [0]
   encArg(cons_1(x_1)) -> 1'(encArg(x_1)) [0]
   encArg(cons_2(x_1)) -> 2'(encArg(x_1)) [0]
   encArg(cons_3(x_1)) -> 3'(encArg(x_1)) [0]
   encode_0(x_1) -> 0'(encArg(x_1)) [0]
   encode_3(x_1) -> 3'(encArg(x_1)) [0]
   encode_1(x_1) -> 1'(encArg(x_1)) [0]
   encode_2(x_1) -> 2'(encArg(x_1)) [0]
   0'(x0) -> c_0(x0) [0]
   1'(x0) -> c_1(x0) [0]
   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_3(v0) -> null_encode_3 [0]
   encode_1(v0) -> null_encode_1 [0]
   encode_2(v0) -> null_encode_2 [0]
   0'(v0) -> null_0' [0]
   1'(v0) -> null_1' [0]
   2'(v0) -> null_2' [0]
   3'(v0) -> null_3' [0]

The TRS has the following type information:
0' :: c_0:c_2:c_1:c_3:null_encArg:null_encode_0:null_encode_3:null_encode_1:null_encode_2:null_0':null_1':null_2':null_3' -> c_0:c_2:c_1:c_3:null_encArg:null_encode_0:null_encode_3:null_encode_1:null_encode_2:null_0':null_1':null_2':null_3'
c_0 :: c_0:c_2:c_1:c_3:null_encArg:null_encode_0:null_encode_3:null_encode_1:null_encode_2:null_0':null_1':null_2':null_3' -> c_0:c_2:c_1:c_3:null_encArg:null_encode_0:null_encode_3:null_encode_1:null_encode_2:null_0':null_1':null_2':null_3'
c_1 :: c_0:c_2:c_1:c_3:null_encArg:null_encode_0:null_encode_3:null_encode_1:null_encode_2:null_0':null_1':null_2':null_3' -> c_0:c_2:c_1:c_3:null_encArg:null_encode_0:null_encode_3:null_encode_1:null_encode_2:null_0':null_1':null_2':null_3'
c_2 :: c_0:c_2:c_1:c_3:null_encArg:null_encode_0:null_encode_3:null_encode_1:null_encode_2:null_0':null_1':null_2':null_3' -> c_0:c_2:c_1:c_3:null_encArg:null_encode_0:null_encode_3:null_encode_1:null_encode_2:null_0':null_1':null_2':null_3'
1' :: c_0:c_2:c_1:c_3:null_encArg:null_encode_0:null_encode_3:null_encode_1:null_encode_2:null_0':null_1':null_2':null_3' -> c_0:c_2:c_1:c_3:null_encArg:null_encode_0:null_encode_3:null_encode_1:null_encode_2:null_0':null_1':null_2':null_3'
2' :: c_0:c_2:c_1:c_3:null_encArg:null_encode_0:null_encode_3:null_encode_1:null_encode_2:null_0':null_1':null_2':null_3' -> c_0:c_2:c_1:c_3:null_encArg:null_encode_0:null_encode_3:null_encode_1:null_encode_2:null_0':null_1':null_2':null_3'
c_3 :: c_0:c_2:c_1:c_3:null_encArg:null_encode_0:null_encode_3:null_encode_1:null_encode_2:null_0':null_1':null_2':null_3' -> c_0:c_2:c_1:c_3:null_encArg:null_encode_0:null_encode_3:null_encode_1:null_encode_2:null_0':null_1':null_2':null_3'
3' :: c_0:c_2:c_1:c_3:null_encArg:null_encode_0:null_encode_3:null_encode_1:null_encode_2:null_0':null_1':null_2':null_3' -> c_0:c_2:c_1:c_3:null_encArg:null_encode_0:null_encode_3:null_encode_1:null_encode_2:null_0':null_1':null_2':null_3'
encArg :: cons_0:cons_1:cons_2:cons_3 -> c_0:c_2:c_1:c_3:null_encArg:null_encode_0:null_encode_3:null_encode_1:null_encode_2: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_0:c_2:c_1:c_3:null_encArg:null_encode_0:null_encode_3:null_encode_1:null_encode_2:null_0':null_1':null_2':null_3'
encode_3 :: cons_0:cons_1:cons_2:cons_3 -> c_0:c_2:c_1:c_3:null_encArg:null_encode_0:null_encode_3:null_encode_1:null_encode_2:null_0':null_1':null_2':null_3'
encode_1 :: cons_0:cons_1:cons_2:cons_3 -> c_0:c_2:c_1:c_3:null_encArg:null_encode_0:null_encode_3:null_encode_1:null_encode_2:null_0':null_1':null_2':null_3'
encode_2 :: cons_0:cons_1:cons_2:cons_3 -> c_0:c_2:c_1:c_3:null_encArg:null_encode_0:null_encode_3:null_encode_1:null_encode_2:null_0':null_1':null_2':null_3'
null_encArg :: c_0:c_2:c_1:c_3:null_encArg:null_encode_0:null_encode_3:null_encode_1:null_encode_2:null_0':null_1':null_2':null_3'
null_encode_0 :: c_0:c_2:c_1:c_3:null_encArg:null_encode_0:null_encode_3:null_encode_1:null_encode_2:null_0':null_1':null_2':null_3'
null_encode_3 :: c_0:c_2:c_1:c_3:null_encArg:null_encode_0:null_encode_3:null_encode_1:null_encode_2:null_0':null_1':null_2':null_3'
null_encode_1 :: c_0:c_2:c_1:c_3:null_encArg:null_encode_0:null_encode_3:null_encode_1:null_encode_2:null_0':null_1':null_2':null_3'
null_encode_2 :: c_0:c_2:c_1:c_3:null_encArg:null_encode_0:null_encode_3:null_encode_1:null_encode_2:null_0':null_1':null_2':null_3'
null_0' :: c_0:c_2:c_1:c_3:null_encArg:null_encode_0:null_encode_3:null_encode_1:null_encode_2:null_0':null_1':null_2':null_3'
null_1' :: c_0:c_2:c_1:c_3:null_encArg:null_encode_0:null_encode_3:null_encode_1:null_encode_2:null_0':null_1':null_2':null_3'
null_2' :: c_0:c_2:c_1:c_3:null_encArg:null_encode_0:null_encode_3:null_encode_1:null_encode_2:null_0':null_1':null_2':null_3'
null_3' :: c_0:c_2:c_1:c_3:null_encArg:null_encode_0:null_encode_3:null_encode_1:null_encode_2: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_3 => 0
   null_encode_1 => 0
   null_encode_2 => 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'(0'(3'(3'(2'(0'(2'(3'(2'(0'(3'(1'(3'(3'(2'(0'(0'(3'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   0'(z) -{ 1 }-> 1'(0'(3'(1'(0'(3'(3'(3'(3'(2'(3'(2'(3'(2'(0'(2'(1'(1'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   0'(z) -{ 1 }-> 1'(0'(0'(3'(2'(0'(1'(3'(2'(0'(0'(2'(3'(1'(0'(2'(1'(0'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   0'(z) -{ 1 }-> 0'(3'(3'(1'(2'(1'(3'(0'(3'(3'(2'(0'(1'(1'(0'(1'(1'(3'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   0'(z) -{ 1 }-> 0'(3'(1'(0'(3'(2'(0'(1'(0'(1'(0'(0'(2'(0'(1'(2'(0'(1'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   0'(z) -{ 1 }-> 0'(3'(0'(3'(3'(2'(3'(2'(3'(0'(0'(0'(0'(1'(1'(1'(3'(0'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   0'(z) -{ 1 }-> 0'(3'(0'(2'(3'(0'(1'(3'(3'(2'(0'(0'(3'(3'(2'(1'(2'(0'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   0'(z) -{ 1 }-> 0'(3'(0'(2'(1'(0'(3'(2'(1'(1'(2'(1'(3'(1'(3'(1'(1'(1'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   0'(z) -{ 1 }-> 0'(3'(0'(0'(3'(3'(3'(2'(1'(3'(2'(0'(0'(1'(3'(0'(0'(0'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   0'(z) -{ 1 }-> 0'(3'(0'(0'(3'(3'(0'(1'(0'(3'(0'(1'(0'(0'(2'(1'(1'(3'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   0'(z) -{ 1 }-> 0'(3'(0'(0'(2'(1'(3'(1'(2'(3'(2'(1'(0'(0'(0'(3'(2'(0'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   0'(z) -{ 1 }-> 0'(2'(2'(1'(1'(0'(2'(3'(0'(0'(2'(0'(2'(1'(3'(2'(3'(0'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   0'(z) -{ 1 }-> 0'(2'(1'(0'(1'(0'(1'(0'(0'(3'(3'(2'(3'(0'(2'(3'(2'(3'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   0'(z) -{ 1 }-> 0'(2'(1'(0'(0'(3'(2'(0'(0'(3'(3'(3'(1'(1'(0'(1'(2'(0'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   0'(z) -{ 1 }-> 0'(2'(0'(3'(2'(2'(0'(3'(3'(3'(2'(2'(2'(0'(2'(0'(2'(3'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   0'(z) -{ 1 }-> 0'(2'(0'(1'(2'(3'(1'(1'(0'(0'(2'(3'(2'(1'(1'(1'(0'(2'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   0'(z) -{ 1 }-> 0'(2'(0'(0'(0'(2'(3'(3'(1'(1'(3'(2'(0'(3'(0'(0'(1'(1'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   0'(z) -{ 1 }-> 0'(1'(0'(1'(1'(0'(0'(2'(1'(1'(0'(0'(2'(0'(2'(0'(0'(0'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   0'(z) -{ 1 }-> 0'(0'(3'(3'(2'(1'(3'(0'(0'(1'(1'(2'(0'(0'(1'(0'(2'(3'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   0'(z) -{ 1 }-> 0'(0'(3'(3'(1'(0'(2'(3'(2'(1'(1'(3'(1'(1'(1'(3'(2'(0'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   0'(z) -{ 1 }-> 0'(0'(2'(3'(2'(0'(1'(0'(2'(1'(0'(1'(0'(3'(0'(3'(0'(3'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   0'(z) -{ 1 }-> 0'(0'(1'(1'(1'(3'(3'(3'(2'(1'(1'(0'(0'(1'(2'(0'(2'(0'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   0'(z) -{ 1 }-> 0'(0'(0'(2'(3'(0'(0'(0'(0'(1'(1'(3'(1'(0'(2'(3'(3'(3'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   0'(z) -{ 0 }-> 0 :|: v0 >= 0, z = v0
   0'(z) -{ 0 }-> 1 + x0 :|: z = x0, x0 >= 0
   1'(z) -{ 1 }-> 1'(3'(3'(2'(3'(3'(1'(2'(2'(0'(1'(2'(2'(2'(1'(1'(1'(0'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   1'(z) -{ 1 }-> 1'(3'(3'(1'(1'(2'(0'(3'(3'(2'(3'(1'(3'(2'(0'(3'(3'(3'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   1'(z) -{ 1 }-> 1'(3'(3'(1'(1'(1'(0'(3'(0'(0'(3'(3'(3'(2'(3'(2'(0'(1'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   1'(z) -{ 1 }-> 1'(3'(2'(3'(0'(2'(3'(3'(3'(0'(0'(2'(0'(1'(3'(2'(1'(0'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   1'(z) -{ 1 }-> 1'(3'(2'(2'(0'(2'(1'(0'(1'(0'(0'(1'(2'(0'(1'(1'(3'(0'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   1'(z) -{ 1 }-> 1'(3'(2'(0'(3'(0'(0'(0'(3'(2'(1'(3'(1'(1'(1'(1'(3'(0'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   1'(z) -{ 1 }-> 1'(3'(0'(2'(3'(3'(3'(1'(1'(0'(3'(3'(3'(0'(1'(1'(0'(1'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   1'(z) -{ 1 }-> 1'(3'(0'(2'(0'(0'(3'(1'(0'(2'(1'(0'(2'(3'(3'(3'(3'(3'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   1'(z) -{ 1 }-> 1'(3'(0'(0'(0'(3'(2'(1'(2'(1'(0'(0'(1'(3'(2'(2'(1'(1'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   1'(z) -{ 1 }-> 1'(2'(1'(2'(1'(2'(2'(1'(1'(1'(1'(0'(3'(3'(3'(0'(3'(2'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   1'(z) -{ 1 }-> 1'(2'(0'(3'(0'(2'(2'(1'(3'(3'(2'(2'(2'(3'(3'(2'(1'(0'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   1'(z) -{ 1 }-> 1'(1'(3'(3'(2'(0'(0'(3'(2'(1'(2'(3'(3'(2'(0'(1'(1'(0'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   1'(z) -{ 1 }-> 1'(1'(3'(2'(1'(3'(3'(0'(2'(0'(3'(3'(1'(1'(3'(2'(0'(1'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   1'(z) -{ 1 }-> 1'(1'(2'(3'(3'(3'(3'(1'(1'(0'(2'(0'(1'(3'(3'(2'(0'(1'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   1'(z) -{ 1 }-> 1'(1'(1'(3'(0'(2'(0'(2'(0'(2'(3'(2'(0'(3'(3'(1'(1'(2'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   1'(z) -{ 1 }-> 1'(1'(1'(0'(1'(0'(1'(0'(1'(0'(0'(2'(0'(1'(3'(3'(2'(2'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   1'(z) -{ 1 }-> 1'(0'(3'(3'(2'(1'(3'(2'(3'(0'(1'(2'(0'(0'(2'(1'(0'(0'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   1'(z) -{ 1 }-> 1'(0'(3'(2'(1'(0'(3'(3'(1'(0'(2'(2'(0'(1'(0'(2'(1'(3'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   1'(z) -{ 1 }-> 1'(0'(1'(3'(2'(2'(0'(2'(1'(2'(1'(3'(2'(0'(2'(3'(0'(2'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   1'(z) -{ 1 }-> 1'(0'(1'(1'(0'(3'(1'(3'(3'(1'(1'(3'(2'(1'(1'(1'(1'(3'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   1'(z) -{ 1 }-> 1'(0'(1'(0'(2'(3'(0'(3'(0'(3'(0'(3'(3'(1'(0'(2'(1'(3'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   1'(z) -{ 0 }-> 0 :|: v0 >= 0, z = v0
   1'(z) -{ 0 }-> 1 + x0 :|: z = x0, x0 >= 0
   2'(z) -{ 1 }-> 2'(3'(3'(2'(3'(2'(0'(2'(2'(0'(0'(3'(2'(0'(2'(2'(3'(2'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   2'(z) -{ 1 }-> 2'(3'(3'(2'(0'(2'(1'(0'(3'(3'(0'(3'(1'(0'(1'(2'(3'(1'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   2'(z) -{ 1 }-> 2'(2'(3'(0'(2'(0'(0'(2'(0'(3'(3'(2'(3'(3'(2'(0'(0'(0'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   2'(z) -{ 1 }-> 2'(2'(2'(2'(1'(3'(0'(2'(0'(3'(2'(1'(0'(1'(0'(3'(2'(3'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   2'(z) -{ 1 }-> 2'(2'(0'(0'(3'(3'(2'(3'(2'(3'(2'(0'(2'(0'(0'(0'(1'(2'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   2'(z) -{ 1 }-> 2'(1'(3'(2'(0'(3'(3'(0'(2'(1'(1'(3'(2'(0'(3'(2'(2'(3'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   2'(z) -{ 1 }-> 2'(1'(2'(3'(1'(0'(1'(0'(0'(2'(1'(1'(3'(2'(0'(2'(1'(2'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   2'(z) -{ 1 }-> 2'(1'(2'(2'(3'(3'(2'(2'(0'(1'(0'(2'(2'(3'(1'(0'(2'(3'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   2'(z) -{ 1 }-> 2'(1'(2'(2'(3'(0'(0'(3'(0'(3'(2'(0'(0'(2'(2'(1'(2'(2'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   2'(z) -{ 1 }-> 2'(1'(1'(1'(2'(2'(3'(2'(3'(3'(3'(2'(1'(2'(1'(2'(2'(1'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   2'(z) -{ 1 }-> 2'(1'(1'(0'(1'(2'(1'(3'(3'(3'(2'(2'(0'(2'(1'(3'(3'(0'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   2'(z) -{ 1 }-> 2'(1'(0'(3'(2'(2'(1'(2'(3'(2'(2'(0'(3'(2'(2'(0'(1'(1'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   2'(z) -{ 1 }-> 2'(1'(0'(0'(2'(1'(0'(3'(3'(2'(2'(1'(1'(1'(0'(3'(2'(2'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   2'(z) -{ 1 }-> 2'(0'(3'(0'(1'(3'(2'(2'(3'(0'(1'(3'(2'(2'(0'(2'(0'(0'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   2'(z) -{ 1 }-> 2'(0'(2'(1'(2'(1'(0'(2'(2'(2'(1'(2'(1'(0'(2'(1'(1'(1'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   2'(z) -{ 1 }-> 2'(0'(1'(2'(2'(3'(0'(3'(3'(2'(0'(1'(2'(2'(1'(0'(2'(0'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   2'(z) -{ 1 }-> 2'(0'(1'(0'(2'(3'(2'(0'(3'(3'(2'(3'(0'(2'(1'(0'(0'(0'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   2'(z) -{ 1 }-> 2'(0'(1'(0'(1'(1'(0'(3'(2'(1'(1'(0'(2'(2'(3'(1'(1'(0'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   2'(z) -{ 1 }-> 1'(3'(3'(3'(2'(0'(1'(2'(1'(2'(1'(3'(2'(3'(3'(2'(1'(1'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   2'(z) -{ 0 }-> 0 :|: v0 >= 0, z = v0
   2'(z) -{ 0 }-> 1 + x0 :|: z = x0, x0 >= 0
   3'(z) -{ 1 }-> 3'(3'(3'(2'(0'(1'(3'(2'(0'(1'(3'(3'(1'(2'(1'(1'(2'(3'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   3'(z) -{ 1 }-> 3'(3'(1'(0'(3'(3'(1'(3'(3'(3'(3'(1'(1'(1'(1'(2'(0'(1'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   3'(z) -{ 1 }-> 3'(3'(1'(0'(1'(2'(3'(2'(0'(1'(1'(3'(3'(3'(3'(2'(3'(2'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   3'(z) -{ 1 }-> 3'(3'(0'(0'(3'(2'(3'(2'(0'(0'(0'(2'(3'(2'(1'(2'(3'(2'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   3'(z) -{ 1 }-> 3'(2'(2'(1'(0'(3'(2'(0'(0'(2'(3'(3'(2'(3'(3'(0'(0'(3'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   3'(z) -{ 1 }-> 3'(2'(1'(1'(1'(1'(1'(0'(3'(2'(2'(2'(1'(2'(3'(1'(1'(1'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   3'(z) -{ 1 }-> 3'(2'(0'(3'(2'(3'(0'(1'(0'(1'(1'(0'(3'(1'(3'(0'(2'(0'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   3'(z) -{ 1 }-> 3'(1'(3'(1'(0'(3'(3'(2'(1'(2'(1'(2'(0'(2'(3'(2'(0'(0'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   3'(z) -{ 1 }-> 3'(1'(1'(1'(2'(2'(2'(0'(3'(2'(0'(3'(2'(3'(2'(0'(0'(1'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   3'(z) -{ 1 }-> 3'(1'(0'(2'(2'(1'(3'(0'(0'(2'(0'(3'(2'(1'(1'(0'(2'(0'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   3'(z) -{ 1 }-> 3'(0'(2'(2'(3'(2'(0'(1'(3'(1'(0'(2'(1'(3'(3'(2'(0'(3'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   3'(z) -{ 1 }-> 3'(0'(2'(1'(0'(1'(3'(3'(2'(0'(0'(3'(0'(3'(2'(3'(1'(0'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   3'(z) -{ 1 }-> 2'(3'(0'(2'(3'(1'(1'(0'(2'(0'(2'(1'(1'(0'(0'(2'(0'(2'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   3'(z) -{ 1 }-> 1'(3'(3'(2'(0'(0'(0'(1'(3'(3'(2'(0'(1'(1'(2'(1'(2'(3'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   3'(z) -{ 1 }-> 0'(3'(3'(2'(1'(0'(0'(2'(3'(3'(1'(1'(0'(1'(1'(3'(2'(0'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   3'(z) -{ 1 }-> 0'(2'(1'(3'(3'(3'(2'(1'(1'(0'(1'(3'(3'(2'(1'(1'(3'(3'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   3'(z) -{ 1 }-> 0'(0'(1'(1'(0'(2'(2'(3'(3'(2'(1'(0'(0'(2'(3'(3'(2'(0'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   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_3(z0) -> 3(encArg(z0))
   encode_1(z0) -> 1(encArg(z0))
   encode_2(z0) -> 2(encArg(z0))
   0(z0) -> c_0(z0)
   0(c_0(c_0(c_1(c_0(c_0(c_0(c_2(c_1(c_1(c_2(c_0(c_1(c_0(c_1(c_2(c_0(c_0(z0)))))))))))))))))) -> 0(1(0(1(1(0(0(2(1(1(0(0(2(0(2(0(0(0(z0))))))))))))))))))
   0(c_0(c_1(c_3(c_2(c_1(c_0(c_0(c_3(c_2(c_3(c_1(c_3(c_0(c_0(c_2(c_0(c_0(z0)))))))))))))))))) -> 0(0(2(3(2(0(1(0(2(1(0(1(0(3(0(3(0(3(z0))))))))))))))))))
   0(c_3(c_1(c_2(c_3(c_1(c_0(c_3(c_3(c_3(c_1(c_3(c_0(c_3(c_2(c_2(c_1(c_2(z0)))))))))))))))))) -> 1(0(3(1(0(3(3(3(3(2(3(2(3(2(0(2(1(1(z0))))))))))))))))))
   0(c_0(c_3(c_0(c_3(c_1(c_2(c_0(c_3(c_0(c_3(c_1(c_0(c_0(c_1(c_0(c_1(c_3(z0)))))))))))))))))) -> 0(3(0(0(3(3(0(1(0(3(0(1(0(0(2(1(1(3(z0))))))))))))))))))
   0(c_2(c_3(c_3(c_1(c_0(c_3(c_0(c_0(c_0(c_2(c_0(c_1(c_3(c_1(c_3(c_3(c_0(z0)))))))))))))))))) -> 0(3(0(3(3(2(3(2(3(0(0(0(0(1(1(1(3(0(z0))))))))))))))))))
   0(c_0(c_1(c_3(c_1(c_0(c_3(c_1(c_1(c_3(c_1(c_2(c_3(c_1(c_2(c_2(c_1(c_1(z0)))))))))))))))))) -> 0(3(0(2(1(0(3(2(1(1(2(1(3(1(3(1(1(1(z0))))))))))))))))))
   0(c_0(c_3(c_2(c_1(c_3(c_1(c_3(c_3(c_0(c_1(c_2(c_0(c_0(c_0(c_2(c_0(c_2(z0)))))))))))))))))) -> 0(3(0(0(2(1(3(1(2(3(2(1(0(0(0(3(2(0(z0))))))))))))))))))
   0(c_3(c_3(c_3(c_1(c_2(c_0(c_0(c_3(c_2(c_0(c_1(c_2(c_1(c_3(c_0(c_2(c_0(z0)))))))))))))))))) -> 0(2(1(0(1(0(1(0(0(3(3(2(3(0(2(3(2(3(z0))))))))))))))))))
   0(c_0(c_1(c_2(c_0(c_0(c_3(c_3(c_2(c_1(c_3(c_3(c_3(c_1(c_1(c_1(c_1(c_2(z0)))))))))))))))))) -> 0(0(3(3(1(0(2(3(2(1(1(3(1(1(1(3(2(0(z0))))))))))))))))))
   0(c_0(c_1(c_1(c_1(c_3(c_2(c_2(c_2(c_1(c_3(c_2(c_3(c_0(c_0(c_0(c_0(c_0(z0)))))))))))))))))) -> 1(0(0(3(2(0(1(3(2(0(0(2(3(1(0(2(1(0(z0))))))))))))))))))
   0(c_3(c_0(c_3(c_2(c_2(c_0(c_3(c_3(c_1(c_0(c_0(c_3(c_0(c_3(c_0(c_1(c_0(z0)))))))))))))))))) -> 0(3(0(0(3(3(3(2(1(3(2(0(0(1(3(0(0(0(z0))))))))))))))))))
   0(c_0(c_0(c_3(c_0(c_3(c_0(c_1(c_2(c_1(c_0(c_0(c_0(c_1(c_2(c_3(c_3(c_3(z0)))))))))))))))))) -> 0(0(0(2(3(0(0(0(0(1(1(3(1(0(2(3(3(3(z0))))))))))))))))))
   0(c_0(c_3(c_0(c_3(c_3(c_3(c_1(c_1(c_1(c_3(c_1(c_1(c_2(c_1(c_2(c_3(c_0(z0)))))))))))))))))) -> 0(3(3(1(2(1(3(0(3(3(2(0(1(1(0(1(1(3(z0))))))))))))))))))
   0(c_0(c_1(c_0(c_1(c_1(c_1(c_0(c_2(c_2(c_3(c_3(c_1(c_3(c_0(c_2(c_1(c_0(z0)))))))))))))))))) -> 0(0(1(1(1(3(3(3(2(1(1(0(0(1(2(0(2(0(z0))))))))))))))))))
   0(c_0(c_0(c_0(c_3(c_0(c_3(c_1(c_3(c_1(c_2(c_2(c_1(c_3(c_1(c_0(c_0(c_2(z0)))))))))))))))))) -> 0(0(3(3(2(1(3(0(0(1(1(2(0(0(1(0(2(3(z0))))))))))))))))))
   0(c_0(c_1(c_2(c_0(c_1(c_0(c_1(c_1(c_0(c_1(c_2(c_2(c_3(c_3(c_1(c_2(c_2(z0)))))))))))))))))) -> 0(2(0(1(2(3(1(1(0(0(2(3(2(1(1(1(0(2(z0))))))))))))))))))
   0(c_2(c_2(c_3(c_2(c_3(c_2(c_2(c_2(c_2(c_2(c_3(c_3(c_0(c_0(c_0(c_0(c_3(z0)))))))))))))))))) -> 0(2(0(3(2(2(0(3(3(3(2(2(2(0(2(0(2(3(z0))))))))))))))))))
   0(c_0(c_2(c_3(c_3(c_3(c_0(c_0(c_1(c_1(c_2(c_2(c_0(c_3(c_2(c_3(c_3(c_0(z0)))))))))))))))))) -> 0(3(0(2(3(0(1(3(3(2(0(0(3(3(2(1(2(0(z0))))))))))))))))))
   0(c_1(c_3(c_0(c_1(c_0(c_1(c_1(c_2(c_2(c_2(c_3(c_3(c_0(c_3(c_0(c_0(c_0(z0)))))))))))))))))) -> 0(2(1(0(0(3(2(0(0(3(3(3(1(1(0(1(2(0(z0))))))))))))))))))
   0(c_1(c_2(c_3(c_0(c_2(c_1(c_2(c_3(c_0(c_0(c_3(c_0(c_1(c_0(c_1(c_3(c_0(z0)))))))))))))))))) -> 0(2(0(0(0(2(3(3(1(1(3(2(0(3(0(0(1(1(z0))))))))))))))))))
   0(c_0(c_3(c_0(c_2(c_0(c_1(c_1(c_3(c_1(c_0(c_2(c_0(c_0(c_0(c_2(c_1(c_1(z0)))))))))))))))))) -> 0(3(1(0(3(2(0(1(0(1(0(0(2(0(1(2(0(1(z0))))))))))))))))))
   0(c_0(c_3(c_3(c_1(c_2(c_3(c_0(c_2(c_3(c_3(c_3(c_0(c_0(c_3(c_2(c_2(c_3(z0)))))))))))))))))) -> 3(0(3(3(2(0(2(3(2(0(3(1(3(3(2(0(0(3(z0))))))))))))))))))
   0(c_0(c_2(c_2(c_1(c_1(c_3(c_0(c_2(c_2(c_2(c_2(c_0(c_3(c_3(c_0(c_1(c_0(z0)))))))))))))))))) -> 0(2(2(1(1(0(2(3(0(0(2(0(2(1(3(2(3(0(z0))))))))))))))))))
   1(z0) -> c_1(z0)
   1(c_3(c_0(c_3(c_3(c_0(c_2(c_3(c_1(c_0(c_0(c_0(c_3(c_2(c_1(c_2(c_3(c_3(z0)))))))))))))))))) -> 1(3(0(2(0(0(3(1(0(2(1(0(2(3(3(3(3(3(z0))))))))))))))))))
   1(c_2(c_1(c_2(c_2(c_0(c_1(c_3(c_0(c_2(c_3(c_2(c_2(c_3(c_2(c_3(c_3(c_0(z0)))))))))))))))))) -> 1(2(0(3(0(2(2(1(3(3(2(2(2(3(3(2(1(0(z0))))))))))))))))))
   1(c_2(c_0(c_0(c_1(c_1(c_0(c_1(c_2(c_0(c_1(c_1(c_2(c_0(c_0(c_3(c_3(c_1(z0)))))))))))))))))) -> 1(1(1(0(1(0(1(0(1(0(0(2(0(1(3(3(2(2(z0))))))))))))))))))
   1(c_0(c_0(c_0(c_3(c_0(c_0(c_1(c_3(c_1(c_2(c_1(c_2(c_2(c_1(c_2(c_3(c_1(z0)))))))))))))))))) -> 1(3(0(0(0(3(2(1(2(1(0(0(1(3(2(2(1(1(z0))))))))))))))))))
   1(c_0(c_2(c_3(c_1(c_3(c_2(c_2(c_3(c_1(c_2(c_0(c_1(c_0(c_3(c_0(c_0(c_0(z0)))))))))))))))))) -> 1(0(3(3(2(1(3(2(3(0(1(2(0(0(2(1(0(0(z0))))))))))))))))))
   1(c_3(c_1(c_2(c_2(c_2(c_0(c_3(c_3(c_2(c_1(c_0(c_3(c_3(c_0(c_0(c_3(c_0(z0)))))))))))))))))) -> 1(3(2(3(0(2(3(3(3(0(0(2(0(1(3(2(1(0(z0))))))))))))))))))
   1(c_2(c_1(c_3(c_1(c_1(c_3(c_0(c_3(c_1(c_1(c_1(c_1(c_1(c_3(c_0(c_1(c_3(z0)))))))))))))))))) -> 1(0(1(1(0(3(1(3(3(1(1(3(2(1(1(1(1(3(z0))))))))))))))))))
   1(c_3(c_1(c_1(c_1(c_2(c_0(c_2(c_1(c_2(c_0(c_3(c_3(c_1(c_2(c_2(c_3(c_1(z0)))))))))))))))))) -> 1(2(1(2(1(2(2(1(1(1(1(0(3(3(3(0(3(2(z0))))))))))))))))))
   1(c_3(c_0(c_0(c_1(c_2(c_3(c_3(c_2(c_3(c_1(c_1(c_3(c_1(c_0(c_3(c_1(c_2(z0)))))))))))))))))) -> 1(1(2(3(3(3(3(1(1(0(2(0(1(3(3(2(0(1(z0))))))))))))))))))
   1(c_1(c_1(c_2(c_1(c_2(c_3(c_0(c_0(c_2(c_3(c_0(c_3(c_1(c_3(c_2(c_0(c_2(z0)))))))))))))))))) -> 1(1(1(3(0(2(0(2(0(2(3(2(0(3(3(1(1(2(z0))))))))))))))))))
   1(c_0(c_3(c_3(c_3(c_0(c_2(c_3(c_0(c_2(c_1(c_1(c_0(c_3(c_3(c_1(c_3(c_1(z0)))))))))))))))))) -> 1(3(3(1(1(1(0(3(0(0(3(3(3(2(3(2(0(1(z0))))))))))))))))))
   1(c_2(c_2(c_3(c_2(c_1(c_3(c_0(c_3(c_1(c_3(c_3(c_1(c_3(c_0(c_3(c_3(c_3(z0)))))))))))))))))) -> 1(3(3(1(1(2(0(3(3(2(3(1(3(2(0(3(3(3(z0))))))))))))))))))
   1(c_2(c_1(c_2(c_3(c_0(c_3(c_0(c_2(c_2(c_0(c_2(c_3(c_2(c_0(c_1(c_1(c_2(z0)))))))))))))))))) -> 1(0(1(3(2(2(0(2(1(2(1(3(2(0(2(3(0(2(z0))))))))))))))))))
   1(c_2(c_2(c_3(c_3(c_0(c_1(c_2(c_1(c_0(c_3(c_1(c_2(c_3(c_1(c_1(c_2(c_2(z0)))))))))))))))))) -> 1(3(3(2(3(3(1(2(2(0(1(2(2(2(1(1(1(0(z0))))))))))))))))))
   1(c_3(c_3(c_0(c_3(c_1(c_0(c_1(c_3(c_1(c_2(c_2(c_0(c_3(c_1(c_1(c_0(c_0(z0)))))))))))))))))) -> 1(3(2(0(3(0(0(0(3(2(1(3(1(1(1(1(3(0(z0))))))))))))))))))
   1(c_1(c_2(c_1(c_3(c_0(c_2(c_1(c_0(c_0(c_3(c_0(c_1(c_2(c_2(c_0(c_3(c_3(z0)))))))))))))))))) -> 1(0(3(2(1(0(3(3(1(0(2(2(0(1(0(2(1(3(z0))))))))))))))))))
   1(c_2(c_1(c_0(c_1(c_3(c_0(c_3(c_3(c_1(c_3(c_1(c_2(c_2(c_3(c_0(c_2(c_0(z0)))))))))))))))))) -> 1(1(3(3(2(0(0(3(2(1(2(3(3(2(0(1(1(0(z0))))))))))))))))))
   1(c_0(c_3(c_0(c_2(c_3(c_0(c_3(c_1(c_3(c_1(c_1(c_2(c_0(c_3(c_0(c_3(c_0(z0)))))))))))))))))) -> 1(0(1(0(2(3(0(3(0(3(0(3(3(1(0(2(1(3(z0))))))))))))))))))
   1(c_2(c_3(c_1(c_3(c_0(c_1(c_1(c_3(c_1(c_3(c_1(c_2(c_0(c_3(c_2(c_3(c_0(z0)))))))))))))))))) -> 1(1(3(2(1(3(3(0(2(0(3(3(1(1(3(2(0(1(z0))))))))))))))))))
   1(c_1(c_2(c_3(c_3(c_1(c_0(c_0(c_3(c_1(c_3(c_3(c_3(c_0(c_0(c_1(c_3(c_1(z0)))))))))))))))))) -> 1(3(0(2(3(3(3(1(1(0(3(3(3(0(1(1(0(1(z0))))))))))))))))))
   1(c_3(c_1(c_2(c_0(c_1(c_2(c_0(c_0(c_1(c_0(c_0(c_2(c_3(c_0(c_1(c_1(c_2(z0)))))))))))))))))) -> 1(3(2(2(0(2(1(0(1(0(0(1(2(0(1(1(3(0(z0))))))))))))))))))
   2(z0) -> c_2(z0)
   2(c_3(c_1(c_1(c_2(c_0(c_2(c_0(c_3(c_2(c_2(c_3(c_1(c_2(c_2(c_3(c_0(c_0(z0)))))))))))))))))) -> 2(2(2(2(1(3(0(2(0(3(2(1(0(1(0(3(2(3(z0))))))))))))))))))
   2(c_2(c_0(c_2(c_3(c_3(c_2(c_2(c_0(c_3(c_1(c_0(c_0(c_2(c_2(c_3(c_0(c_0(z0)))))))))))))))))) -> 2(2(0(0(3(3(2(3(2(3(2(0(2(0(0(0(1(2(z0))))))))))))))))))
   2(c_2(c_3(c_3(c_1(c_2(c_3(c_2(c_1(c_2(c_1(c_3(c_2(c_2(c_1(c_1(c_2(c_1(z0)))))))))))))))))) -> 2(1(1(1(2(2(3(2(3(3(3(2(1(2(1(2(2(1(z0))))))))))))))))))
   2(c_3(c_0(c_0(c_3(c_0(c_0(c_3(c_0(c_2(c_2(c_2(c_2(c_3(c_2(c_0(c_3(c_0(z0)))))))))))))))))) -> 2(2(3(0(2(0(0(2(0(3(3(2(3(3(2(0(0(0(z0))))))))))))))))))
   2(c_0(c_1(c_1(c_2(c_1(c_1(c_2(c_2(c_1(c_1(c_2(c_1(c_2(c_2(c_0(c_0(c_2(z0)))))))))))))))))) -> 2(0(2(1(2(1(0(2(2(2(1(2(1(0(2(1(1(1(z0))))))))))))))))))
   2(c_2(c_1(c_1(c_3(c_0(c_0(c_3(c_2(c_3(c_1(c_2(c_1(c_0(c_0(c_2(c_1(c_2(z0)))))))))))))))))) -> 2(1(0(0(2(1(0(3(3(2(2(1(1(1(0(3(2(2(z0))))))))))))))))))
   2(c_2(c_3(c_3(c_3(c_3(c_3(c_1(c_2(c_0(c_1(c_1(c_1(c_2(c_3(c_1(c_2(c_1(z0)))))))))))))))))) -> 1(3(3(3(2(0(1(2(1(2(1(3(2(3(3(2(1(1(z0))))))))))))))))))
   2(c_3(c_2(c_3(c_0(c_0(c_0(c_3(c_3(c_2(c_2(c_2(c_2(c_3(c_2(c_2(c_0(c_2(z0)))))))))))))))))) -> 2(3(3(2(3(2(0(2(2(0(0(3(2(0(2(2(3(2(z0))))))))))))))))))
   2(c_2(c_0(c_1(c_2(c_3(c_3(c_0(c_3(c_2(c_2(c_2(c_0(c_3(c_3(c_1(c_1(c_3(z0)))))))))))))))))) -> 2(1(3(2(0(3(3(0(2(1(1(3(2(0(3(2(2(3(z0))))))))))))))))))
   2(c_0(c_0(c_2(c_2(c_0(c_3(c_0(c_1(c_0(c_2(c_3(c_3(c_1(c_2(c_1(c_2(c_2(z0)))))))))))))))))) -> 2(0(1(2(2(3(0(3(3(2(0(1(2(2(1(0(2(0(z0))))))))))))))))))
   2(c_3(c_1(c_1(c_3(c_1(c_0(c_2(c_3(c_0(c_0(c_0(c_2(c_3(c_3(c_2(c_3(c_1(z0)))))))))))))))))) -> 2(3(3(2(0(2(1(0(3(3(0(3(1(0(1(2(3(1(z0))))))))))))))))))
   2(c_2(c_3(c_1(c_1(c_2(c_2(c_0(c_1(c_0(c_1(c_0(c_1(c_0(c_1(c_3(c_1(c_0(z0)))))))))))))))))) -> 2(0(1(0(1(1(0(3(2(1(1(0(2(2(3(1(1(0(z0))))))))))))))))))
   2(c_2(c_3(c_1(c_2(c_2(c_2(c_1(c_2(c_0(c_1(c_3(c_2(c_2(c_3(c_3(c_0(c_0(z0)))))))))))))))))) -> 2(1(2(2(3(3(2(2(0(1(0(2(2(3(1(0(2(3(z0))))))))))))))))))
   2(c_0(c_0(c_3(c_0(c_3(c_1(c_1(c_2(c_2(c_2(c_2(c_3(c_2(c_0(c_0(c_3(c_0(z0)))))))))))))))))) -> 2(0(3(0(1(3(2(2(3(0(1(3(2(2(0(2(0(0(z0))))))))))))))))))
   2(c_0(c_0(c_0(c_0(c_3(c_1(c_2(c_2(c_0(c_3(c_0(c_2(c_0(c_3(c_1(c_3(c_2(z0)))))))))))))))))) -> 2(0(1(0(2(3(2(0(3(3(2(3(0(2(1(0(0(0(z0))))))))))))))))))
   2(c_3(c_0(c_0(c_0(c_2(c_0(c_0(c_1(c_3(c_3(c_1(c_2(c_2(c_2(c_2(c_2(c_2(z0)))))))))))))))))) -> 2(1(2(2(3(0(0(3(0(3(2(0(0(2(2(1(2(2(z0))))))))))))))))))
   2(c_0(c_0(c_3(c_1(c_2(c_1(c_3(c_0(c_2(c_2(c_2(c_1(c_2(c_2(c_2(c_3(c_1(z0)))))))))))))))))) -> 2(1(0(3(2(2(1(2(3(2(2(0(3(2(2(0(1(1(z0))))))))))))))))))
   2(c_1(c_2(c_0(c_2(c_1(c_3(c_0(c_1(c_2(c_1(c_0(c_2(c_1(c_3(c_1(c_2(c_0(z0)))))))))))))))))) -> 2(1(2(3(1(0(1(0(0(2(1(1(3(2(0(2(1(2(z0))))))))))))))))))
   2(c_3(c_0(c_3(c_1(c_1(c_2(c_3(c_1(c_3(c_2(c_0(c_1(c_2(c_2(c_1(c_3(c_0(z0)))))))))))))))))) -> 2(1(1(0(1(2(1(3(3(3(2(2(0(2(1(3(3(0(z0))))))))))))))))))
   3(z0) -> c_3(z0)
   3(c_2(c_1(c_1(c_1(c_3(c_1(c_1(c_2(c_2(c_1(c_2(c_1(c_1(c_2(c_3(c_0(c_1(z0)))))))))))))))))) -> 3(2(1(1(1(1(1(0(3(2(2(2(1(2(3(1(1(1(z0))))))))))))))))))
   3(c_1(c_2(c_1(c_0(c_3(c_1(c_1(c_2(c_2(c_3(c_0(c_2(c_2(c_3(c_0(c_2(c_0(z0)))))))))))))))))) -> 3(1(1(1(2(2(2(0(3(2(0(3(2(3(2(0(0(1(z0))))))))))))))))))
   3(c_3(c_1(c_1(c_3(c_1(c_0(c_1(c_3(c_1(c_2(c_3(c_3(c_3(c_1(c_1(c_3(c_0(z0)))))))))))))))))) -> 3(3(1(0(3(3(1(3(3(3(3(1(1(1(1(2(0(1(z0))))))))))))))))))
   3(c_1(c_3(c_0(c_3(c_0(c_3(c_2(c_2(c_3(c_0(c_2(c_3(c_1(c_2(c_1(c_0(c_2(z0)))))))))))))))))) -> 3(0(2(2(3(2(0(1(3(1(0(2(1(3(3(2(0(3(z0))))))))))))))))))
   3(c_0(c_2(c_0(c_3(c_3(c_0(c_0(c_2(c_2(c_0(c_1(c_0(c_3(c_3(c_1(c_3(c_1(z0)))))))))))))))))) -> 3(0(2(1(0(1(3(3(2(0(0(3(0(3(2(3(1(0(z0))))))))))))))))))
   3(c_3(c_0(c_2(c_1(c_2(c_2(c_0(c_0(c_1(c_3(c_2(c_0(c_0(c_1(c_2(c_3(c_0(z0)))))))))))))))))) -> 0(0(1(1(0(2(2(3(3(2(1(0(0(2(3(3(2(0(z0))))))))))))))))))
   3(c_3(c_0(c_2(c_0(c_2(c_0(c_3(c_3(c_3(c_1(c_0(c_2(c_2(c_2(c_3(c_3(c_0(z0)))))))))))))))))) -> 3(2(2(1(0(3(2(0(0(2(3(3(2(3(3(0(0(3(z0))))))))))))))))))
   3(c_0(c_1(c_0(c_3(c_1(c_2(c_2(c_0(c_1(c_1(c_1(c_3(c_3(c_0(c_2(c_3(c_0(z0)))))))))))))))))) -> 0(3(3(2(1(0(0(2(3(3(1(1(0(1(1(3(2(0(z0))))))))))))))))))
   3(c_1(c_2(c_0(c_1(c_2(c_0(c_3(c_1(c_2(c_1(c_0(c_0(c_2(c_0(c_3(c_0(c_2(z0)))))))))))))))))) -> 3(1(0(2(2(1(3(0(0(2(0(3(2(1(1(0(2(0(z0))))))))))))))))))
   3(c_1(c_3(c_1(c_1(c_3(c_0(c_2(c_0(c_0(c_3(c_0(c_2(c_3(c_1(c_2(c_2(c_2(z0)))))))))))))))))) -> 3(1(3(1(0(3(3(2(1(2(1(2(0(2(3(2(0(0(z0))))))))))))))))))
   3(c_0(c_1(c_2(c_2(c_3(c_0(c_1(c_2(c_1(c_3(c_1(c_3(c_3(c_3(c_1(c_1(c_3(z0)))))))))))))))))) -> 0(2(1(3(3(3(2(1(1(0(1(3(3(2(1(1(3(3(z0))))))))))))))))))
   3(c_0(c_2(c_0(c_3(c_1(c_1(c_3(c_2(c_1(c_3(c_0(c_2(c_0(c_2(c_1(c_1(c_3(z0)))))))))))))))))) -> 1(3(3(2(0(0(0(1(3(3(2(0(1(1(2(1(2(3(z0))))))))))))))))))
   3(c_3(c_0(c_3(c_0(c_0(c_2(c_3(c_0(c_2(c_3(c_3(c_1(c_2(c_2(c_2(c_2(c_0(z0)))))))))))))))))) -> 3(3(0(0(3(2(3(2(0(0(0(2(3(2(1(2(3(2(z0))))))))))))))))))
   3(c_3(c_3(c_3(c_3(c_0(c_3(c_1(c_1(c_3(c_2(c_1(c_1(c_3(c_2(c_2(c_0(c_2(z0)))))))))))))))))) -> 3(3(1(0(1(2(3(2(0(1(1(3(3(3(3(2(3(2(z0))))))))))))))))))
   3(c_2(c_2(c_3(c_0(c_0(c_3(c_0(c_0(c_2(c_3(c_0(c_1(c_1(c_1(c_1(c_3(c_0(z0)))))))))))))))))) -> 3(2(0(3(2(3(0(1(0(1(1(0(3(1(3(0(2(0(z0))))))))))))))))))
   3(c_1(c_3(c_1(c_1(c_3(c_3(c_3(c_2(c_1(c_2(c_3(c_0(c_2(c_1(c_2(c_3(c_0(z0)))))))))))))))))) -> 3(3(3(2(0(1(3(2(0(1(3(3(1(2(1(1(2(3(z0))))))))))))))))))
   3(c_0(c_2(c_2(c_0(c_0(c_1(c_2(c_3(c_0(c_0(c_1(c_1(c_2(c_0(c_1(c_2(c_2(z0)))))))))))))))))) -> 2(3(0(2(3(1(1(0(2(0(2(1(1(0(0(2(0(2(z0))))))))))))))))))
Tuples:
   ENCARG(cons_0(z0)) -> c(0'(encArg(z0)), ENCARG(z0))
   ENCARG(cons_1(z0)) -> c1(1'(encArg(z0)), ENCARG(z0))
   ENCARG(cons_2(z0)) -> c2(2'(encArg(z0)), ENCARG(z0))
   ENCARG(cons_3(z0)) -> c3(3'(encArg(z0)), ENCARG(z0))
   ENCODE_0(z0) -> c4(0'(encArg(z0)), ENCARG(z0))
   ENCODE_3(z0) -> c5(3'(encArg(z0)), ENCARG(z0))
   ENCODE_1(z0) -> c6(1'(encArg(z0)), ENCARG(z0))
   ENCODE_2(z0) -> c7(2'(encArg(z0)), ENCARG(z0))
   0'(z0) -> c8
   0'(c_0(c_0(c_1(c_0(c_0(c_0(c_2(c_1(c_1(c_2(c_0(c_1(c_0(c_1(c_2(c_0(c_0(z0)))))))))))))))))) -> c9(0'(1(0(1(1(0(0(2(1(1(0(0(2(0(2(0(0(0(z0)))))))))))))))))), 1'(0(1(1(0(0(2(1(1(0(0(2(0(2(0(0(0(z0))))))))))))))))), 0'(1(1(0(0(2(1(1(0(0(2(0(2(0(0(0(z0)))))))))))))))), 1'(1(0(0(2(1(1(0(0(2(0(2(0(0(0(z0))))))))))))))), 1'(0(0(2(1(1(0(0(2(0(2(0(0(0(z0)))))))))))))), 0'(0(2(1(1(0(0(2(0(2(0(0(0(z0))))))))))))), 0'(2(1(1(0(0(2(0(2(0(0(0(z0)))))))))))), 2'(1(1(0(0(2(0(2(0(0(0(z0))))))))))), 1'(1(0(0(2(0(2(0(0(0(z0)))))))))), 1'(0(0(2(0(2(0(0(0(z0))))))))), 0'(0(2(0(2(0(0(0(z0)))))))), 0'(2(0(2(0(0(0(z0))))))), 2'(0(2(0(0(0(z0)))))), 0'(2(0(0(0(z0))))), 2'(0(0(0(z0)))), 0'(0(0(z0))), 0'(0(z0)), 0'(z0))
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   0'(c_0(c_1(c_2(c_0(c_1(c_0(c_1(c_1(c_0(c_1(c_2(c_2(c_3(c_3(c_1(c_2(c_2(z0)))))))))))))))))) -> c24(0'(2(0(1(2(3(1(1(0(0(2(3(2(1(1(1(0(2(z0)))))))))))))))))), 2'(0(1(2(3(1(1(0(0(2(3(2(1(1(1(0(2(z0))))))))))))))))), 0'(1(2(3(1(1(0(0(2(3(2(1(1(1(0(2(z0)))))))))))))))), 1'(2(3(1(1(0(0(2(3(2(1(1(1(0(2(z0))))))))))))))), 2'(3(1(1(0(0(2(3(2(1(1(1(0(2(z0)))))))))))))), 3'(1(1(0(0(2(3(2(1(1(1(0(2(z0))))))))))))), 1'(1(0(0(2(3(2(1(1(1(0(2(z0)))))))))))), 1'(0(0(2(3(2(1(1(1(0(2(z0))))))))))), 0'(0(2(3(2(1(1(1(0(2(z0)))))))))), 0'(2(3(2(1(1(1(0(2(z0))))))))), 2'(3(2(1(1(1(0(2(z0)))))))), 3'(2(1(1(1(0(2(z0))))))), 2'(1(1(1(0(2(z0)))))), 1'(1(1(0(2(z0))))), 1'(1(0(2(z0)))), 1'(0(2(z0))), 0'(2(z0)), 2'(z0))
   0'(c_2(c_2(c_3(c_2(c_3(c_2(c_2(c_2(c_2(c_2(c_3(c_3(c_0(c_0(c_0(c_0(c_3(z0)))))))))))))))))) -> c25(0'(2(0(3(2(2(0(3(3(3(2(2(2(0(2(0(2(3(z0)))))))))))))))))), 2'(0(3(2(2(0(3(3(3(2(2(2(0(2(0(2(3(z0))))))))))))))))), 0'(3(2(2(0(3(3(3(2(2(2(0(2(0(2(3(z0)))))))))))))))), 3'(2(2(0(3(3(3(2(2(2(0(2(0(2(3(z0))))))))))))))), 2'(2(0(3(3(3(2(2(2(0(2(0(2(3(z0)))))))))))))), 2'(0(3(3(3(2(2(2(0(2(0(2(3(z0))))))))))))), 0'(3(3(3(2(2(2(0(2(0(2(3(z0)))))))))))), 3'(3(3(2(2(2(0(2(0(2(3(z0))))))))))), 3'(3(2(2(2(0(2(0(2(3(z0)))))))))), 3'(2(2(2(0(2(0(2(3(z0))))))))), 2'(2(2(0(2(0(2(3(z0)))))))), 2'(2(0(2(0(2(3(z0))))))), 2'(0(2(0(2(3(z0)))))), 0'(2(0(2(3(z0))))), 2'(0(2(3(z0)))), 0'(2(3(z0))), 2'(3(z0)), 3'(z0))
   0'(c_0(c_2(c_3(c_3(c_3(c_0(c_0(c_1(c_1(c_2(c_2(c_0(c_3(c_2(c_3(c_3(c_0(z0)))))))))))))))))) -> c26(0'(3(0(2(3(0(1(3(3(2(0(0(3(3(2(1(2(0(z0)))))))))))))))))), 3'(0(2(3(0(1(3(3(2(0(0(3(3(2(1(2(0(z0))))))))))))))))), 0'(2(3(0(1(3(3(2(0(0(3(3(2(1(2(0(z0)))))))))))))))), 2'(3(0(1(3(3(2(0(0(3(3(2(1(2(0(z0))))))))))))))), 3'(0(1(3(3(2(0(0(3(3(2(1(2(0(z0)))))))))))))), 0'(1(3(3(2(0(0(3(3(2(1(2(0(z0))))))))))))), 1'(3(3(2(0(0(3(3(2(1(2(0(z0)))))))))))), 3'(3(2(0(0(3(3(2(1(2(0(z0))))))))))), 3'(2(0(0(3(3(2(1(2(0(z0)))))))))), 2'(0(0(3(3(2(1(2(0(z0))))))))), 0'(0(3(3(2(1(2(0(z0)))))))), 0'(3(3(2(1(2(0(z0))))))), 3'(3(2(1(2(0(z0)))))), 3'(2(1(2(0(z0))))), 2'(1(2(0(z0)))), 1'(2(0(z0))), 2'(0(z0)), 0'(z0))
   0'(c_1(c_3(c_0(c_1(c_0(c_1(c_1(c_2(c_2(c_2(c_3(c_3(c_0(c_3(c_0(c_0(c_0(z0)))))))))))))))))) -> c27(0'(2(1(0(0(3(2(0(0(3(3(3(1(1(0(1(2(0(z0)))))))))))))))))), 2'(1(0(0(3(2(0(0(3(3(3(1(1(0(1(2(0(z0))))))))))))))))), 1'(0(0(3(2(0(0(3(3(3(1(1(0(1(2(0(z0)))))))))))))))), 0'(0(3(2(0(0(3(3(3(1(1(0(1(2(0(z0))))))))))))))), 0'(3(2(0(0(3(3(3(1(1(0(1(2(0(z0)))))))))))))), 3'(2(0(0(3(3(3(1(1(0(1(2(0(z0))))))))))))), 2'(0(0(3(3(3(1(1(0(1(2(0(z0)))))))))))), 0'(0(3(3(3(1(1(0(1(2(0(z0))))))))))), 0'(3(3(3(1(1(0(1(2(0(z0)))))))))), 3'(3(3(1(1(0(1(2(0(z0))))))))), 3'(3(1(1(0(1(2(0(z0)))))))), 3'(1(1(0(1(2(0(z0))))))), 1'(1(0(1(2(0(z0)))))), 1'(0(1(2(0(z0))))), 0'(1(2(0(z0)))), 1'(2(0(z0))), 2'(0(z0)), 0'(z0))
   0'(c_1(c_2(c_3(c_0(c_2(c_1(c_2(c_3(c_0(c_0(c_3(c_0(c_1(c_0(c_1(c_3(c_0(z0)))))))))))))))))) -> c28(0'(2(0(0(0(2(3(3(1(1(3(2(0(3(0(0(1(1(z0)))))))))))))))))), 2'(0(0(0(2(3(3(1(1(3(2(0(3(0(0(1(1(z0))))))))))))))))), 0'(0(0(2(3(3(1(1(3(2(0(3(0(0(1(1(z0)))))))))))))))), 0'(0(2(3(3(1(1(3(2(0(3(0(0(1(1(z0))))))))))))))), 0'(2(3(3(1(1(3(2(0(3(0(0(1(1(z0)))))))))))))), 2'(3(3(1(1(3(2(0(3(0(0(1(1(z0))))))))))))), 3'(3(1(1(3(2(0(3(0(0(1(1(z0)))))))))))), 3'(1(1(3(2(0(3(0(0(1(1(z0))))))))))), 1'(1(3(2(0(3(0(0(1(1(z0)))))))))), 1'(3(2(0(3(0(0(1(1(z0))))))))), 3'(2(0(3(0(0(1(1(z0)))))))), 2'(0(3(0(0(1(1(z0))))))), 0'(3(0(0(1(1(z0)))))), 3'(0(0(1(1(z0))))), 0'(0(1(1(z0)))), 0'(1(1(z0))), 1'(1(z0)), 1'(z0))
   0'(c_0(c_3(c_0(c_2(c_0(c_1(c_1(c_3(c_1(c_0(c_2(c_0(c_0(c_0(c_2(c_1(c_1(z0)))))))))))))))))) -> c29(0'(3(1(0(3(2(0(1(0(1(0(0(2(0(1(2(0(1(z0)))))))))))))))))), 3'(1(0(3(2(0(1(0(1(0(0(2(0(1(2(0(1(z0))))))))))))))))), 1'(0(3(2(0(1(0(1(0(0(2(0(1(2(0(1(z0)))))))))))))))), 0'(3(2(0(1(0(1(0(0(2(0(1(2(0(1(z0))))))))))))))), 3'(2(0(1(0(1(0(0(2(0(1(2(0(1(z0)))))))))))))), 2'(0(1(0(1(0(0(2(0(1(2(0(1(z0))))))))))))), 0'(1(0(1(0(0(2(0(1(2(0(1(z0)))))))))))), 1'(0(1(0(0(2(0(1(2(0(1(z0))))))))))), 0'(1(0(0(2(0(1(2(0(1(z0)))))))))), 1'(0(0(2(0(1(2(0(1(z0))))))))), 0'(0(2(0(1(2(0(1(z0)))))))), 0'(2(0(1(2(0(1(z0))))))), 2'(0(1(2(0(1(z0)))))), 0'(1(2(0(1(z0))))), 1'(2(0(1(z0)))), 2'(0(1(z0))), 0'(1(z0)), 1'(z0))
   0'(c_0(c_3(c_3(c_1(c_2(c_3(c_0(c_2(c_3(c_3(c_3(c_0(c_0(c_3(c_2(c_2(c_3(z0)))))))))))))))))) -> c30(3'(0(3(3(2(0(2(3(2(0(3(1(3(3(2(0(0(3(z0)))))))))))))))))), 0'(3(3(2(0(2(3(2(0(3(1(3(3(2(0(0(3(z0))))))))))))))))), 3'(3(2(0(2(3(2(0(3(1(3(3(2(0(0(3(z0)))))))))))))))), 3'(2(0(2(3(2(0(3(1(3(3(2(0(0(3(z0))))))))))))))), 2'(0(2(3(2(0(3(1(3(3(2(0(0(3(z0)))))))))))))), 0'(2(3(2(0(3(1(3(3(2(0(0(3(z0))))))))))))), 2'(3(2(0(3(1(3(3(2(0(0(3(z0)))))))))))), 3'(2(0(3(1(3(3(2(0(0(3(z0))))))))))), 2'(0(3(1(3(3(2(0(0(3(z0)))))))))), 0'(3(1(3(3(2(0(0(3(z0))))))))), 3'(1(3(3(2(0(0(3(z0)))))))), 1'(3(3(2(0(0(3(z0))))))), 3'(3(2(0(0(3(z0)))))), 3'(2(0(0(3(z0))))), 2'(0(0(3(z0)))), 0'(0(3(z0))), 0'(3(z0)), 3'(z0))
   0'(c_0(c_2(c_2(c_1(c_1(c_3(c_0(c_2(c_2(c_2(c_2(c_0(c_3(c_3(c_0(c_1(c_0(z0)))))))))))))))))) -> c31(0'(2(2(1(1(0(2(3(0(0(2(0(2(1(3(2(3(0(z0)))))))))))))))))), 2'(2(1(1(0(2(3(0(0(2(0(2(1(3(2(3(0(z0))))))))))))))))), 2'(1(1(0(2(3(0(0(2(0(2(1(3(2(3(0(z0)))))))))))))))), 1'(1(0(2(3(0(0(2(0(2(1(3(2(3(0(z0))))))))))))))), 1'(0(2(3(0(0(2(0(2(1(3(2(3(0(z0)))))))))))))), 0'(2(3(0(0(2(0(2(1(3(2(3(0(z0))))))))))))), 2'(3(0(0(2(0(2(1(3(2(3(0(z0)))))))))))), 3'(0(0(2(0(2(1(3(2(3(0(z0))))))))))), 0'(0(2(0(2(1(3(2(3(0(z0)))))))))), 0'(2(0(2(1(3(2(3(0(z0))))))))), 2'(0(2(1(3(2(3(0(z0)))))))), 0'(2(1(3(2(3(0(z0))))))), 2'(1(3(2(3(0(z0)))))), 1'(3(2(3(0(z0))))), 3'(2(3(0(z0)))), 2'(3(0(z0))), 3'(0(z0)), 0'(z0))
   1'(z0) -> c32
   1'(c_3(c_0(c_3(c_3(c_0(c_2(c_3(c_1(c_0(c_0(c_0(c_3(c_2(c_1(c_2(c_3(c_3(z0)))))))))))))))))) -> c33(1'(3(0(2(0(0(3(1(0(2(1(0(2(3(3(3(3(3(z0)))))))))))))))))), 3'(0(2(0(0(3(1(0(2(1(0(2(3(3(3(3(3(z0))))))))))))))))), 0'(2(0(0(3(1(0(2(1(0(2(3(3(3(3(3(z0)))))))))))))))), 2'(0(0(3(1(0(2(1(0(2(3(3(3(3(3(z0))))))))))))))), 0'(0(3(1(0(2(1(0(2(3(3(3(3(3(z0)))))))))))))), 0'(3(1(0(2(1(0(2(3(3(3(3(3(z0))))))))))))), 3'(1(0(2(1(0(2(3(3(3(3(3(z0)))))))))))), 1'(0(2(1(0(2(3(3(3(3(3(z0))))))))))), 0'(2(1(0(2(3(3(3(3(3(z0)))))))))), 2'(1(0(2(3(3(3(3(3(z0))))))))), 1'(0(2(3(3(3(3(3(z0)))))))), 0'(2(3(3(3(3(3(z0))))))), 2'(3(3(3(3(3(z0)))))), 3'(3(3(3(3(z0))))), 3'(3(3(3(z0)))), 3'(3(3(z0))), 3'(3(z0)), 3'(z0))
   1'(c_2(c_1(c_2(c_2(c_0(c_1(c_3(c_0(c_2(c_3(c_2(c_2(c_3(c_2(c_3(c_3(c_0(z0)))))))))))))))))) -> c34(1'(2(0(3(0(2(2(1(3(3(2(2(2(3(3(2(1(0(z0)))))))))))))))))), 2'(0(3(0(2(2(1(3(3(2(2(2(3(3(2(1(0(z0))))))))))))))))), 0'(3(0(2(2(1(3(3(2(2(2(3(3(2(1(0(z0)))))))))))))))), 3'(0(2(2(1(3(3(2(2(2(3(3(2(1(0(z0))))))))))))))), 0'(2(2(1(3(3(2(2(2(3(3(2(1(0(z0)))))))))))))), 2'(2(1(3(3(2(2(2(3(3(2(1(0(z0))))))))))))), 2'(1(3(3(2(2(2(3(3(2(1(0(z0)))))))))))), 1'(3(3(2(2(2(3(3(2(1(0(z0))))))))))), 3'(3(2(2(2(3(3(2(1(0(z0)))))))))), 3'(2(2(2(3(3(2(1(0(z0))))))))), 2'(2(2(3(3(2(1(0(z0)))))))), 2'(2(3(3(2(1(0(z0))))))), 2'(3(3(2(1(0(z0)))))), 3'(3(2(1(0(z0))))), 3'(2(1(0(z0)))), 2'(1(0(z0))), 1'(0(z0)), 0'(z0))
   1'(c_2(c_0(c_0(c_1(c_1(c_0(c_1(c_2(c_0(c_1(c_1(c_2(c_0(c_0(c_3(c_3(c_1(z0)))))))))))))))))) -> c35(1'(1(1(0(1(0(1(0(1(0(0(2(0(1(3(3(2(2(z0)))))))))))))))))), 1'(1(0(1(0(1(0(1(0(0(2(0(1(3(3(2(2(z0))))))))))))))))), 1'(0(1(0(1(0(1(0(0(2(0(1(3(3(2(2(z0)))))))))))))))), 0'(1(0(1(0(1(0(0(2(0(1(3(3(2(2(z0))))))))))))))), 1'(0(1(0(1(0(0(2(0(1(3(3(2(2(z0)))))))))))))), 0'(1(0(1(0(0(2(0(1(3(3(2(2(z0))))))))))))), 1'(0(1(0(0(2(0(1(3(3(2(2(z0)))))))))))), 0'(1(0(0(2(0(1(3(3(2(2(z0))))))))))), 1'(0(0(2(0(1(3(3(2(2(z0)))))))))), 0'(0(2(0(1(3(3(2(2(z0))))))))), 0'(2(0(1(3(3(2(2(z0)))))))), 2'(0(1(3(3(2(2(z0))))))), 0'(1(3(3(2(2(z0)))))), 1'(3(3(2(2(z0))))), 3'(3(2(2(z0)))), 3'(2(2(z0))), 2'(2(z0)), 2'(z0))
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   1'(c_2(c_3(c_1(c_3(c_0(c_1(c_1(c_3(c_1(c_3(c_1(c_2(c_0(c_3(c_2(c_3(c_0(z0)))))))))))))))))) -> c51(1'(1(3(2(1(3(3(0(2(0(3(3(1(1(3(2(0(1(z0)))))))))))))))))), 1'(3(2(1(3(3(0(2(0(3(3(1(1(3(2(0(1(z0))))))))))))))))), 3'(2(1(3(3(0(2(0(3(3(1(1(3(2(0(1(z0)))))))))))))))), 2'(1(3(3(0(2(0(3(3(1(1(3(2(0(1(z0))))))))))))))), 1'(3(3(0(2(0(3(3(1(1(3(2(0(1(z0)))))))))))))), 3'(3(0(2(0(3(3(1(1(3(2(0(1(z0))))))))))))), 3'(0(2(0(3(3(1(1(3(2(0(1(z0)))))))))))), 0'(2(0(3(3(1(1(3(2(0(1(z0))))))))))), 2'(0(3(3(1(1(3(2(0(1(z0)))))))))), 0'(3(3(1(1(3(2(0(1(z0))))))))), 3'(3(1(1(3(2(0(1(z0)))))))), 3'(1(1(3(2(0(1(z0))))))), 1'(1(3(2(0(1(z0)))))), 1'(3(2(0(1(z0))))), 3'(2(0(1(z0)))), 2'(0(1(z0))), 0'(1(z0)), 1'(z0))
   1'(c_1(c_2(c_3(c_3(c_1(c_0(c_0(c_3(c_1(c_3(c_3(c_3(c_0(c_0(c_1(c_3(c_1(z0)))))))))))))))))) -> c52(1'(3(0(2(3(3(3(1(1(0(3(3(3(0(1(1(0(1(z0)))))))))))))))))), 3'(0(2(3(3(3(1(1(0(3(3(3(0(1(1(0(1(z0))))))))))))))))), 0'(2(3(3(3(1(1(0(3(3(3(0(1(1(0(1(z0)))))))))))))))), 2'(3(3(3(1(1(0(3(3(3(0(1(1(0(1(z0))))))))))))))), 3'(3(3(1(1(0(3(3(3(0(1(1(0(1(z0)))))))))))))), 3'(3(1(1(0(3(3(3(0(1(1(0(1(z0))))))))))))), 3'(1(1(0(3(3(3(0(1(1(0(1(z0)))))))))))), 1'(1(0(3(3(3(0(1(1(0(1(z0))))))))))), 1'(0(3(3(3(0(1(1(0(1(z0)))))))))), 0'(3(3(3(0(1(1(0(1(z0))))))))), 3'(3(3(0(1(1(0(1(z0)))))))), 3'(3(0(1(1(0(1(z0))))))), 3'(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))
   1'(c_3(c_1(c_2(c_0(c_1(c_2(c_0(c_0(c_1(c_0(c_0(c_2(c_3(c_0(c_1(c_1(c_2(z0)))))))))))))))))) -> c53(1'(3(2(2(0(2(1(0(1(0(0(1(2(0(1(1(3(0(z0)))))))))))))))))), 3'(2(2(0(2(1(0(1(0(0(1(2(0(1(1(3(0(z0))))))))))))))))), 2'(2(0(2(1(0(1(0(0(1(2(0(1(1(3(0(z0)))))))))))))))), 2'(0(2(1(0(1(0(0(1(2(0(1(1(3(0(z0))))))))))))))), 0'(2(1(0(1(0(0(1(2(0(1(1(3(0(z0)))))))))))))), 2'(1(0(1(0(0(1(2(0(1(1(3(0(z0))))))))))))), 1'(0(1(0(0(1(2(0(1(1(3(0(z0)))))))))))), 0'(1(0(0(1(2(0(1(1(3(0(z0))))))))))), 1'(0(0(1(2(0(1(1(3(0(z0)))))))))), 0'(0(1(2(0(1(1(3(0(z0))))))))), 0'(1(2(0(1(1(3(0(z0)))))))), 1'(2(0(1(1(3(0(z0))))))), 2'(0(1(1(3(0(z0)))))), 0'(1(1(3(0(z0))))), 1'(1(3(0(z0)))), 1'(3(0(z0))), 3'(0(z0)), 0'(z0))
   2'(z0) -> c54
   2'(c_3(c_1(c_1(c_2(c_0(c_2(c_0(c_3(c_2(c_2(c_3(c_1(c_2(c_2(c_3(c_0(c_0(z0)))))))))))))))))) -> c55(2'(2(2(2(1(3(0(2(0(3(2(1(0(1(0(3(2(3(z0)))))))))))))))))), 2'(2(2(1(3(0(2(0(3(2(1(0(1(0(3(2(3(z0))))))))))))))))), 2'(2(1(3(0(2(0(3(2(1(0(1(0(3(2(3(z0)))))))))))))))), 2'(1(3(0(2(0(3(2(1(0(1(0(3(2(3(z0))))))))))))))), 1'(3(0(2(0(3(2(1(0(1(0(3(2(3(z0)))))))))))))), 3'(0(2(0(3(2(1(0(1(0(3(2(3(z0))))))))))))), 0'(2(0(3(2(1(0(1(0(3(2(3(z0)))))))))))), 2'(0(3(2(1(0(1(0(3(2(3(z0))))))))))), 0'(3(2(1(0(1(0(3(2(3(z0)))))))))), 3'(2(1(0(1(0(3(2(3(z0))))))))), 2'(1(0(1(0(3(2(3(z0)))))))), 1'(0(1(0(3(2(3(z0))))))), 0'(1(0(3(2(3(z0)))))), 1'(0(3(2(3(z0))))), 0'(3(2(3(z0)))), 3'(2(3(z0))), 2'(3(z0)), 3'(z0))
   2'(c_2(c_0(c_2(c_3(c_3(c_2(c_2(c_0(c_3(c_1(c_0(c_0(c_2(c_2(c_3(c_0(c_0(z0)))))))))))))))))) -> c56(2'(2(0(0(3(3(2(3(2(3(2(0(2(0(0(0(1(2(z0)))))))))))))))))), 2'(0(0(3(3(2(3(2(3(2(0(2(0(0(0(1(2(z0))))))))))))))))), 0'(0(3(3(2(3(2(3(2(0(2(0(0(0(1(2(z0)))))))))))))))), 0'(3(3(2(3(2(3(2(0(2(0(0(0(1(2(z0))))))))))))))), 3'(3(2(3(2(3(2(0(2(0(0(0(1(2(z0)))))))))))))), 3'(2(3(2(3(2(0(2(0(0(0(1(2(z0))))))))))))), 2'(3(2(3(2(0(2(0(0(0(1(2(z0)))))))))))), 3'(2(3(2(0(2(0(0(0(1(2(z0))))))))))), 2'(3(2(0(2(0(0(0(1(2(z0)))))))))), 3'(2(0(2(0(0(0(1(2(z0))))))))), 2'(0(2(0(0(0(1(2(z0)))))))), 0'(2(0(0(0(1(2(z0))))))), 2'(0(0(0(1(2(z0)))))), 0'(0(0(1(2(z0))))), 0'(0(1(2(z0)))), 0'(1(2(z0))), 1'(2(z0)), 2'(z0))
   2'(c_2(c_3(c_3(c_1(c_2(c_3(c_2(c_1(c_2(c_1(c_3(c_2(c_2(c_1(c_1(c_2(c_1(z0)))))))))))))))))) -> c57(2'(1(1(1(2(2(3(2(3(3(3(2(1(2(1(2(2(1(z0)))))))))))))))))), 1'(1(1(2(2(3(2(3(3(3(2(1(2(1(2(2(1(z0))))))))))))))))), 1'(1(2(2(3(2(3(3(3(2(1(2(1(2(2(1(z0)))))))))))))))), 1'(2(2(3(2(3(3(3(2(1(2(1(2(2(1(z0))))))))))))))), 2'(2(3(2(3(3(3(2(1(2(1(2(2(1(z0)))))))))))))), 2'(3(2(3(3(3(2(1(2(1(2(2(1(z0))))))))))))), 3'(2(3(3(3(2(1(2(1(2(2(1(z0)))))))))))), 2'(3(3(3(2(1(2(1(2(2(1(z0))))))))))), 3'(3(3(2(1(2(1(2(2(1(z0)))))))))), 3'(3(2(1(2(1(2(2(1(z0))))))))), 3'(2(1(2(1(2(2(1(z0)))))))), 2'(1(2(1(2(2(1(z0))))))), 1'(2(1(2(2(1(z0)))))), 2'(1(2(2(1(z0))))), 1'(2(2(1(z0)))), 2'(2(1(z0))), 2'(1(z0)), 1'(z0))
   2'(c_3(c_0(c_0(c_3(c_0(c_0(c_3(c_0(c_2(c_2(c_2(c_2(c_3(c_2(c_0(c_3(c_0(z0)))))))))))))))))) -> c58(2'(2(3(0(2(0(0(2(0(3(3(2(3(3(2(0(0(0(z0)))))))))))))))))), 2'(3(0(2(0(0(2(0(3(3(2(3(3(2(0(0(0(z0))))))))))))))))), 3'(0(2(0(0(2(0(3(3(2(3(3(2(0(0(0(z0)))))))))))))))), 0'(2(0(0(2(0(3(3(2(3(3(2(0(0(0(z0))))))))))))))), 2'(0(0(2(0(3(3(2(3(3(2(0(0(0(z0)))))))))))))), 0'(0(2(0(3(3(2(3(3(2(0(0(0(z0))))))))))))), 0'(2(0(3(3(2(3(3(2(0(0(0(z0)))))))))))), 2'(0(3(3(2(3(3(2(0(0(0(z0))))))))))), 0'(3(3(2(3(3(2(0(0(0(z0)))))))))), 3'(3(2(3(3(2(0(0(0(z0))))))))), 3'(2(3(3(2(0(0(0(z0)))))))), 2'(3(3(2(0(0(0(z0))))))), 3'(3(2(0(0(0(z0)))))), 3'(2(0(0(0(z0))))), 2'(0(0(0(z0)))), 0'(0(0(z0))), 0'(0(z0)), 0'(z0))
   2'(c_0(c_1(c_1(c_2(c_1(c_1(c_2(c_2(c_1(c_1(c_2(c_1(c_2(c_2(c_0(c_0(c_2(z0)))))))))))))))))) -> c59(2'(0(2(1(2(1(0(2(2(2(1(2(1(0(2(1(1(1(z0)))))))))))))))))), 0'(2(1(2(1(0(2(2(2(1(2(1(0(2(1(1(1(z0))))))))))))))))), 2'(1(2(1(0(2(2(2(1(2(1(0(2(1(1(1(z0)))))))))))))))), 1'(2(1(0(2(2(2(1(2(1(0(2(1(1(1(z0))))))))))))))), 2'(1(0(2(2(2(1(2(1(0(2(1(1(1(z0)))))))))))))), 1'(0(2(2(2(1(2(1(0(2(1(1(1(z0))))))))))))), 0'(2(2(2(1(2(1(0(2(1(1(1(z0)))))))))))), 2'(2(2(1(2(1(0(2(1(1(1(z0))))))))))), 2'(2(1(2(1(0(2(1(1(1(z0)))))))))), 2'(1(2(1(0(2(1(1(1(z0))))))))), 1'(2(1(0(2(1(1(1(z0)))))))), 2'(1(0(2(1(1(1(z0))))))), 1'(0(2(1(1(1(z0)))))), 0'(2(1(1(1(z0))))), 2'(1(1(1(z0)))), 1'(1(1(z0))), 1'(1(z0)), 1'(z0))
   2'(c_2(c_1(c_1(c_3(c_0(c_0(c_3(c_2(c_3(c_1(c_2(c_1(c_0(c_0(c_2(c_1(c_2(z0)))))))))))))))))) -> c60(2'(1(0(0(2(1(0(3(3(2(2(1(1(1(0(3(2(2(z0)))))))))))))))))), 1'(0(0(2(1(0(3(3(2(2(1(1(1(0(3(2(2(z0))))))))))))))))), 0'(0(2(1(0(3(3(2(2(1(1(1(0(3(2(2(z0)))))))))))))))), 0'(2(1(0(3(3(2(2(1(1(1(0(3(2(2(z0))))))))))))))), 2'(1(0(3(3(2(2(1(1(1(0(3(2(2(z0)))))))))))))), 1'(0(3(3(2(2(1(1(1(0(3(2(2(z0))))))))))))), 0'(3(3(2(2(1(1(1(0(3(2(2(z0)))))))))))), 3'(3(2(2(1(1(1(0(3(2(2(z0))))))))))), 3'(2(2(1(1(1(0(3(2(2(z0)))))))))), 2'(2(1(1(1(0(3(2(2(z0))))))))), 2'(1(1(1(0(3(2(2(z0)))))))), 1'(1(1(0(3(2(2(z0))))))), 1'(1(0(3(2(2(z0)))))), 1'(0(3(2(2(z0))))), 0'(3(2(2(z0)))), 3'(2(2(z0))), 2'(2(z0)), 2'(z0))
   2'(c_2(c_3(c_3(c_3(c_3(c_3(c_1(c_2(c_0(c_1(c_1(c_1(c_2(c_3(c_1(c_2(c_1(z0)))))))))))))))))) -> c61(1'(3(3(3(2(0(1(2(1(2(1(3(2(3(3(2(1(1(z0)))))))))))))))))), 3'(3(3(2(0(1(2(1(2(1(3(2(3(3(2(1(1(z0))))))))))))))))), 3'(3(2(0(1(2(1(2(1(3(2(3(3(2(1(1(z0)))))))))))))))), 3'(2(0(1(2(1(2(1(3(2(3(3(2(1(1(z0))))))))))))))), 2'(0(1(2(1(2(1(3(2(3(3(2(1(1(z0)))))))))))))), 0'(1(2(1(2(1(3(2(3(3(2(1(1(z0))))))))))))), 1'(2(1(2(1(3(2(3(3(2(1(1(z0)))))))))))), 2'(1(2(1(3(2(3(3(2(1(1(z0))))))))))), 1'(2(1(3(2(3(3(2(1(1(z0)))))))))), 2'(1(3(2(3(3(2(1(1(z0))))))))), 1'(3(2(3(3(2(1(1(z0)))))))), 3'(2(3(3(2(1(1(z0))))))), 2'(3(3(2(1(1(z0)))))), 3'(3(2(1(1(z0))))), 3'(2(1(1(z0)))), 2'(1(1(z0))), 1'(1(z0)), 1'(z0))
   2'(c_3(c_2(c_3(c_0(c_0(c_0(c_3(c_3(c_2(c_2(c_2(c_2(c_3(c_2(c_2(c_0(c_2(z0)))))))))))))))))) -> c62(2'(3(3(2(3(2(0(2(2(0(0(3(2(0(2(2(3(2(z0)))))))))))))))))), 3'(3(2(3(2(0(2(2(0(0(3(2(0(2(2(3(2(z0))))))))))))))))), 3'(2(3(2(0(2(2(0(0(3(2(0(2(2(3(2(z0)))))))))))))))), 2'(3(2(0(2(2(0(0(3(2(0(2(2(3(2(z0))))))))))))))), 3'(2(0(2(2(0(0(3(2(0(2(2(3(2(z0)))))))))))))), 2'(0(2(2(0(0(3(2(0(2(2(3(2(z0))))))))))))), 0'(2(2(0(0(3(2(0(2(2(3(2(z0)))))))))))), 2'(2(0(0(3(2(0(2(2(3(2(z0))))))))))), 2'(0(0(3(2(0(2(2(3(2(z0)))))))))), 0'(0(3(2(0(2(2(3(2(z0))))))))), 0'(3(2(0(2(2(3(2(z0)))))))), 3'(2(0(2(2(3(2(z0))))))), 2'(0(2(2(3(2(z0)))))), 0'(2(2(3(2(z0))))), 2'(2(3(2(z0)))), 2'(3(2(z0))), 3'(2(z0)), 2'(z0))
   2'(c_2(c_0(c_1(c_2(c_3(c_3(c_0(c_3(c_2(c_2(c_2(c_0(c_3(c_3(c_1(c_1(c_3(z0)))))))))))))))))) -> c63(2'(1(3(2(0(3(3(0(2(1(1(3(2(0(3(2(2(3(z0)))))))))))))))))), 1'(3(2(0(3(3(0(2(1(1(3(2(0(3(2(2(3(z0))))))))))))))))), 3'(2(0(3(3(0(2(1(1(3(2(0(3(2(2(3(z0)))))))))))))))), 2'(0(3(3(0(2(1(1(3(2(0(3(2(2(3(z0))))))))))))))), 0'(3(3(0(2(1(1(3(2(0(3(2(2(3(z0)))))))))))))), 3'(3(0(2(1(1(3(2(0(3(2(2(3(z0))))))))))))), 3'(0(2(1(1(3(2(0(3(2(2(3(z0)))))))))))), 0'(2(1(1(3(2(0(3(2(2(3(z0))))))))))), 2'(1(1(3(2(0(3(2(2(3(z0)))))))))), 1'(1(3(2(0(3(2(2(3(z0))))))))), 1'(3(2(0(3(2(2(3(z0)))))))), 3'(2(0(3(2(2(3(z0))))))), 2'(0(3(2(2(3(z0)))))), 0'(3(2(2(3(z0))))), 3'(2(2(3(z0)))), 2'(2(3(z0))), 2'(3(z0)), 3'(z0))
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   2'(c_2(c_3(c_1(c_1(c_2(c_2(c_0(c_1(c_0(c_1(c_0(c_1(c_0(c_1(c_3(c_1(c_0(z0)))))))))))))))))) -> c66(2'(0(1(0(1(1(0(3(2(1(1(0(2(2(3(1(1(0(z0)))))))))))))))))), 0'(1(0(1(1(0(3(2(1(1(0(2(2(3(1(1(0(z0))))))))))))))))), 1'(0(1(1(0(3(2(1(1(0(2(2(3(1(1(0(z0)))))))))))))))), 0'(1(1(0(3(2(1(1(0(2(2(3(1(1(0(z0))))))))))))))), 1'(1(0(3(2(1(1(0(2(2(3(1(1(0(z0)))))))))))))), 1'(0(3(2(1(1(0(2(2(3(1(1(0(z0))))))))))))), 0'(3(2(1(1(0(2(2(3(1(1(0(z0)))))))))))), 3'(2(1(1(0(2(2(3(1(1(0(z0))))))))))), 2'(1(1(0(2(2(3(1(1(0(z0)))))))))), 1'(1(0(2(2(3(1(1(0(z0))))))))), 1'(0(2(2(3(1(1(0(z0)))))))), 0'(2(2(3(1(1(0(z0))))))), 2'(2(3(1(1(0(z0)))))), 2'(3(1(1(0(z0))))), 3'(1(1(0(z0)))), 1'(1(0(z0))), 1'(0(z0)), 0'(z0))
   2'(c_2(c_3(c_1(c_2(c_2(c_2(c_1(c_2(c_0(c_1(c_3(c_2(c_2(c_3(c_3(c_0(c_0(z0)))))))))))))))))) -> c67(2'(1(2(2(3(3(2(2(0(1(0(2(2(3(1(0(2(3(z0)))))))))))))))))), 1'(2(2(3(3(2(2(0(1(0(2(2(3(1(0(2(3(z0))))))))))))))))), 2'(2(3(3(2(2(0(1(0(2(2(3(1(0(2(3(z0)))))))))))))))), 2'(3(3(2(2(0(1(0(2(2(3(1(0(2(3(z0))))))))))))))), 3'(3(2(2(0(1(0(2(2(3(1(0(2(3(z0)))))))))))))), 3'(2(2(0(1(0(2(2(3(1(0(2(3(z0))))))))))))), 2'(2(0(1(0(2(2(3(1(0(2(3(z0)))))))))))), 2'(0(1(0(2(2(3(1(0(2(3(z0))))))))))), 0'(1(0(2(2(3(1(0(2(3(z0)))))))))), 1'(0(2(2(3(1(0(2(3(z0))))))))), 0'(2(2(3(1(0(2(3(z0)))))))), 2'(2(3(1(0(2(3(z0))))))), 2'(3(1(0(2(3(z0)))))), 3'(1(0(2(3(z0))))), 1'(0(2(3(z0)))), 0'(2(3(z0))), 2'(3(z0)), 3'(z0))
   2'(c_0(c_0(c_3(c_0(c_3(c_1(c_1(c_2(c_2(c_2(c_2(c_3(c_2(c_0(c_0(c_3(c_0(z0)))))))))))))))))) -> c68(2'(0(3(0(1(3(2(2(3(0(1(3(2(2(0(2(0(0(z0)))))))))))))))))), 0'(3(0(1(3(2(2(3(0(1(3(2(2(0(2(0(0(z0))))))))))))))))), 3'(0(1(3(2(2(3(0(1(3(2(2(0(2(0(0(z0)))))))))))))))), 0'(1(3(2(2(3(0(1(3(2(2(0(2(0(0(z0))))))))))))))), 1'(3(2(2(3(0(1(3(2(2(0(2(0(0(z0)))))))))))))), 3'(2(2(3(0(1(3(2(2(0(2(0(0(z0))))))))))))), 2'(2(3(0(1(3(2(2(0(2(0(0(z0)))))))))))), 2'(3(0(1(3(2(2(0(2(0(0(z0))))))))))), 3'(0(1(3(2(2(0(2(0(0(z0)))))))))), 0'(1(3(2(2(0(2(0(0(z0))))))))), 1'(3(2(2(0(2(0(0(z0)))))))), 3'(2(2(0(2(0(0(z0))))))), 2'(2(0(2(0(0(z0)))))), 2'(0(2(0(0(z0))))), 0'(2(0(0(z0)))), 2'(0(0(z0))), 0'(0(z0)), 0'(z0))
   2'(c_0(c_0(c_0(c_0(c_3(c_1(c_2(c_2(c_0(c_3(c_0(c_2(c_0(c_3(c_1(c_3(c_2(z0)))))))))))))))))) -> c69(2'(0(1(0(2(3(2(0(3(3(2(3(0(2(1(0(0(0(z0)))))))))))))))))), 0'(1(0(2(3(2(0(3(3(2(3(0(2(1(0(0(0(z0))))))))))))))))), 1'(0(2(3(2(0(3(3(2(3(0(2(1(0(0(0(z0)))))))))))))))), 0'(2(3(2(0(3(3(2(3(0(2(1(0(0(0(z0))))))))))))))), 2'(3(2(0(3(3(2(3(0(2(1(0(0(0(z0)))))))))))))), 3'(2(0(3(3(2(3(0(2(1(0(0(0(z0))))))))))))), 2'(0(3(3(2(3(0(2(1(0(0(0(z0)))))))))))), 0'(3(3(2(3(0(2(1(0(0(0(z0))))))))))), 3'(3(2(3(0(2(1(0(0(0(z0)))))))))), 3'(2(3(0(2(1(0(0(0(z0))))))))), 2'(3(0(2(1(0(0(0(z0)))))))), 3'(0(2(1(0(0(0(z0))))))), 0'(2(1(0(0(0(z0)))))), 2'(1(0(0(0(z0))))), 1'(0(0(0(z0)))), 0'(0(0(z0))), 0'(0(z0)), 0'(z0))
   2'(c_3(c_0(c_0(c_0(c_2(c_0(c_0(c_1(c_3(c_3(c_1(c_2(c_2(c_2(c_2(c_2(c_2(z0)))))))))))))))))) -> c70(2'(1(2(2(3(0(0(3(0(3(2(0(0(2(2(1(2(2(z0)))))))))))))))))), 1'(2(2(3(0(0(3(0(3(2(0(0(2(2(1(2(2(z0))))))))))))))))), 2'(2(3(0(0(3(0(3(2(0(0(2(2(1(2(2(z0)))))))))))))))), 2'(3(0(0(3(0(3(2(0(0(2(2(1(2(2(z0))))))))))))))), 3'(0(0(3(0(3(2(0(0(2(2(1(2(2(z0)))))))))))))), 0'(0(3(0(3(2(0(0(2(2(1(2(2(z0))))))))))))), 0'(3(0(3(2(0(0(2(2(1(2(2(z0)))))))))))), 3'(0(3(2(0(0(2(2(1(2(2(z0))))))))))), 0'(3(2(0(0(2(2(1(2(2(z0)))))))))), 3'(2(0(0(2(2(1(2(2(z0))))))))), 2'(0(0(2(2(1(2(2(z0)))))))), 0'(0(2(2(1(2(2(z0))))))), 0'(2(2(1(2(2(z0)))))), 2'(2(1(2(2(z0))))), 2'(1(2(2(z0)))), 1'(2(2(z0))), 2'(2(z0)), 2'(z0))
   2'(c_0(c_0(c_3(c_1(c_2(c_1(c_3(c_0(c_2(c_2(c_2(c_1(c_2(c_2(c_2(c_3(c_1(z0)))))))))))))))))) -> c71(2'(1(0(3(2(2(1(2(3(2(2(0(3(2(2(0(1(1(z0)))))))))))))))))), 1'(0(3(2(2(1(2(3(2(2(0(3(2(2(0(1(1(z0))))))))))))))))), 0'(3(2(2(1(2(3(2(2(0(3(2(2(0(1(1(z0)))))))))))))))), 3'(2(2(1(2(3(2(2(0(3(2(2(0(1(1(z0))))))))))))))), 2'(2(1(2(3(2(2(0(3(2(2(0(1(1(z0)))))))))))))), 2'(1(2(3(2(2(0(3(2(2(0(1(1(z0))))))))))))), 1'(2(3(2(2(0(3(2(2(0(1(1(z0)))))))))))), 2'(3(2(2(0(3(2(2(0(1(1(z0))))))))))), 3'(2(2(0(3(2(2(0(1(1(z0)))))))))), 2'(2(0(3(2(2(0(1(1(z0))))))))), 2'(0(3(2(2(0(1(1(z0)))))))), 0'(3(2(2(0(1(1(z0))))))), 3'(2(2(0(1(1(z0)))))), 2'(2(0(1(1(z0))))), 2'(0(1(1(z0)))), 0'(1(1(z0))), 1'(1(z0)), 1'(z0))
   2'(c_1(c_2(c_0(c_2(c_1(c_3(c_0(c_1(c_2(c_1(c_0(c_2(c_1(c_3(c_1(c_2(c_0(z0)))))))))))))))))) -> c72(2'(1(2(3(1(0(1(0(0(2(1(1(3(2(0(2(1(2(z0)))))))))))))))))), 1'(2(3(1(0(1(0(0(2(1(1(3(2(0(2(1(2(z0))))))))))))))))), 2'(3(1(0(1(0(0(2(1(1(3(2(0(2(1(2(z0)))))))))))))))), 3'(1(0(1(0(0(2(1(1(3(2(0(2(1(2(z0))))))))))))))), 1'(0(1(0(0(2(1(1(3(2(0(2(1(2(z0)))))))))))))), 0'(1(0(0(2(1(1(3(2(0(2(1(2(z0))))))))))))), 1'(0(0(2(1(1(3(2(0(2(1(2(z0)))))))))))), 0'(0(2(1(1(3(2(0(2(1(2(z0))))))))))), 0'(2(1(1(3(2(0(2(1(2(z0)))))))))), 2'(1(1(3(2(0(2(1(2(z0))))))))), 1'(1(3(2(0(2(1(2(z0)))))))), 1'(3(2(0(2(1(2(z0))))))), 3'(2(0(2(1(2(z0)))))), 2'(0(2(1(2(z0))))), 0'(2(1(2(z0)))), 2'(1(2(z0))), 1'(2(z0)), 2'(z0))
   2'(c_3(c_0(c_3(c_1(c_1(c_2(c_3(c_1(c_3(c_2(c_0(c_1(c_2(c_2(c_1(c_3(c_0(z0)))))))))))))))))) -> c73(2'(1(1(0(1(2(1(3(3(3(2(2(0(2(1(3(3(0(z0)))))))))))))))))), 1'(1(0(1(2(1(3(3(3(2(2(0(2(1(3(3(0(z0))))))))))))))))), 1'(0(1(2(1(3(3(3(2(2(0(2(1(3(3(0(z0)))))))))))))))), 0'(1(2(1(3(3(3(2(2(0(2(1(3(3(0(z0))))))))))))))), 1'(2(1(3(3(3(2(2(0(2(1(3(3(0(z0)))))))))))))), 2'(1(3(3(3(2(2(0(2(1(3(3(0(z0))))))))))))), 1'(3(3(3(2(2(0(2(1(3(3(0(z0)))))))))))), 3'(3(3(2(2(0(2(1(3(3(0(z0))))))))))), 3'(3(2(2(0(2(1(3(3(0(z0)))))))))), 3'(2(2(0(2(1(3(3(0(z0))))))))), 2'(2(0(2(1(3(3(0(z0)))))))), 2'(0(2(1(3(3(0(z0))))))), 0'(2(1(3(3(0(z0)))))), 2'(1(3(3(0(z0))))), 1'(3(3(0(z0)))), 3'(3(0(z0))), 3'(0(z0)), 0'(z0))
   3'(z0) -> c74
   3'(c_2(c_1(c_1(c_1(c_3(c_1(c_1(c_2(c_2(c_1(c_2(c_1(c_1(c_2(c_3(c_0(c_1(z0)))))))))))))))))) -> c75(3'(2(1(1(1(1(1(0(3(2(2(2(1(2(3(1(1(1(z0)))))))))))))))))), 2'(1(1(1(1(1(0(3(2(2(2(1(2(3(1(1(1(z0))))))))))))))))), 1'(1(1(1(1(0(3(2(2(2(1(2(3(1(1(1(z0)))))))))))))))), 1'(1(1(1(0(3(2(2(2(1(2(3(1(1(1(z0))))))))))))))), 1'(1(1(0(3(2(2(2(1(2(3(1(1(1(z0)))))))))))))), 1'(1(0(3(2(2(2(1(2(3(1(1(1(z0))))))))))))), 1'(0(3(2(2(2(1(2(3(1(1(1(z0)))))))))))), 0'(3(2(2(2(1(2(3(1(1(1(z0))))))))))), 3'(2(2(2(1(2(3(1(1(1(z0)))))))))), 2'(2(2(1(2(3(1(1(1(z0))))))))), 2'(2(1(2(3(1(1(1(z0)))))))), 2'(1(2(3(1(1(1(z0))))))), 1'(2(3(1(1(1(z0)))))), 2'(3(1(1(1(z0))))), 3'(1(1(1(z0)))), 1'(1(1(z0))), 1'(1(z0)), 1'(z0))
   3'(c_1(c_2(c_1(c_0(c_3(c_1(c_1(c_2(c_2(c_3(c_0(c_2(c_2(c_3(c_0(c_2(c_0(z0)))))))))))))))))) -> c76(3'(1(1(1(2(2(2(0(3(2(0(3(2(3(2(0(0(1(z0)))))))))))))))))), 1'(1(1(2(2(2(0(3(2(0(3(2(3(2(0(0(1(z0))))))))))))))))), 1'(1(2(2(2(0(3(2(0(3(2(3(2(0(0(1(z0)))))))))))))))), 1'(2(2(2(0(3(2(0(3(2(3(2(0(0(1(z0))))))))))))))), 2'(2(2(0(3(2(0(3(2(3(2(0(0(1(z0)))))))))))))), 2'(2(0(3(2(0(3(2(3(2(0(0(1(z0))))))))))))), 2'(0(3(2(0(3(2(3(2(0(0(1(z0)))))))))))), 0'(3(2(0(3(2(3(2(0(0(1(z0))))))))))), 3'(2(0(3(2(3(2(0(0(1(z0)))))))))), 2'(0(3(2(3(2(0(0(1(z0))))))))), 0'(3(2(3(2(0(0(1(z0)))))))), 3'(2(3(2(0(0(1(z0))))))), 2'(3(2(0(0(1(z0)))))), 3'(2(0(0(1(z0))))), 2'(0(0(1(z0)))), 0'(0(1(z0))), 0'(1(z0)), 1'(z0))
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   3'(c_3(c_0(c_2(c_0(c_2(c_0(c_3(c_3(c_3(c_1(c_0(c_2(c_2(c_2(c_3(c_3(c_0(z0)))))))))))))))))) -> c81(3'(2(2(1(0(3(2(0(0(2(3(3(2(3(3(0(0(3(z0)))))))))))))))))), 2'(2(1(0(3(2(0(0(2(3(3(2(3(3(0(0(3(z0))))))))))))))))), 2'(1(0(3(2(0(0(2(3(3(2(3(3(0(0(3(z0)))))))))))))))), 1'(0(3(2(0(0(2(3(3(2(3(3(0(0(3(z0))))))))))))))), 0'(3(2(0(0(2(3(3(2(3(3(0(0(3(z0)))))))))))))), 3'(2(0(0(2(3(3(2(3(3(0(0(3(z0))))))))))))), 2'(0(0(2(3(3(2(3(3(0(0(3(z0)))))))))))), 0'(0(2(3(3(2(3(3(0(0(3(z0))))))))))), 0'(2(3(3(2(3(3(0(0(3(z0)))))))))), 2'(3(3(2(3(3(0(0(3(z0))))))))), 3'(3(2(3(3(0(0(3(z0)))))))), 3'(2(3(3(0(0(3(z0))))))), 2'(3(3(0(0(3(z0)))))), 3'(3(0(0(3(z0))))), 3'(0(0(3(z0)))), 0'(0(3(z0))), 0'(3(z0)), 3'(z0))
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   3'(c_1(c_2(c_0(c_1(c_2(c_0(c_3(c_1(c_2(c_1(c_0(c_0(c_2(c_0(c_3(c_0(c_2(z0)))))))))))))))))) -> c83(3'(1(0(2(2(1(3(0(0(2(0(3(2(1(1(0(2(0(z0)))))))))))))))))), 1'(0(2(2(1(3(0(0(2(0(3(2(1(1(0(2(0(z0))))))))))))))))), 0'(2(2(1(3(0(0(2(0(3(2(1(1(0(2(0(z0)))))))))))))))), 2'(2(1(3(0(0(2(0(3(2(1(1(0(2(0(z0))))))))))))))), 2'(1(3(0(0(2(0(3(2(1(1(0(2(0(z0)))))))))))))), 1'(3(0(0(2(0(3(2(1(1(0(2(0(z0))))))))))))), 3'(0(0(2(0(3(2(1(1(0(2(0(z0)))))))))))), 0'(0(2(0(3(2(1(1(0(2(0(z0))))))))))), 0'(2(0(3(2(1(1(0(2(0(z0)))))))))), 2'(0(3(2(1(1(0(2(0(z0))))))))), 0'(3(2(1(1(0(2(0(z0)))))))), 3'(2(1(1(0(2(0(z0))))))), 2'(1(1(0(2(0(z0)))))), 1'(1(0(2(0(z0))))), 1'(0(2(0(z0)))), 0'(2(0(z0))), 2'(0(z0)), 0'(z0))
   3'(c_1(c_3(c_1(c_1(c_3(c_0(c_2(c_0(c_0(c_3(c_0(c_2(c_3(c_1(c_2(c_2(c_2(z0)))))))))))))))))) -> c84(3'(1(3(1(0(3(3(2(1(2(1(2(0(2(3(2(0(0(z0)))))))))))))))))), 1'(3(1(0(3(3(2(1(2(1(2(0(2(3(2(0(0(z0))))))))))))))))), 3'(1(0(3(3(2(1(2(1(2(0(2(3(2(0(0(z0)))))))))))))))), 1'(0(3(3(2(1(2(1(2(0(2(3(2(0(0(z0))))))))))))))), 0'(3(3(2(1(2(1(2(0(2(3(2(0(0(z0)))))))))))))), 3'(3(2(1(2(1(2(0(2(3(2(0(0(z0))))))))))))), 3'(2(1(2(1(2(0(2(3(2(0(0(z0)))))))))))), 2'(1(2(1(2(0(2(3(2(0(0(z0))))))))))), 1'(2(1(2(0(2(3(2(0(0(z0)))))))))), 2'(1(2(0(2(3(2(0(0(z0))))))))), 1'(2(0(2(3(2(0(0(z0)))))))), 2'(0(2(3(2(0(0(z0))))))), 0'(2(3(2(0(0(z0)))))), 2'(3(2(0(0(z0))))), 3'(2(0(0(z0)))), 2'(0(0(z0))), 0'(0(z0)), 0'(z0))
   3'(c_0(c_1(c_2(c_2(c_3(c_0(c_1(c_2(c_1(c_3(c_1(c_3(c_3(c_3(c_1(c_1(c_3(z0)))))))))))))))))) -> c85(0'(2(1(3(3(3(2(1(1(0(1(3(3(2(1(1(3(3(z0)))))))))))))))))), 2'(1(3(3(3(2(1(1(0(1(3(3(2(1(1(3(3(z0))))))))))))))))), 1'(3(3(3(2(1(1(0(1(3(3(2(1(1(3(3(z0)))))))))))))))), 3'(3(3(2(1(1(0(1(3(3(2(1(1(3(3(z0))))))))))))))), 3'(3(2(1(1(0(1(3(3(2(1(1(3(3(z0)))))))))))))), 3'(2(1(1(0(1(3(3(2(1(1(3(3(z0))))))))))))), 2'(1(1(0(1(3(3(2(1(1(3(3(z0)))))))))))), 1'(1(0(1(3(3(2(1(1(3(3(z0))))))))))), 1'(0(1(3(3(2(1(1(3(3(z0)))))))))), 0'(1(3(3(2(1(1(3(3(z0))))))))), 1'(3(3(2(1(1(3(3(z0)))))))), 3'(3(2(1(1(3(3(z0))))))), 3'(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_2(c_0(c_3(c_1(c_1(c_3(c_2(c_1(c_3(c_0(c_2(c_0(c_2(c_1(c_1(c_3(z0)))))))))))))))))) -> c86(1'(3(3(2(0(0(0(1(3(3(2(0(1(1(2(1(2(3(z0)))))))))))))))))), 3'(3(2(0(0(0(1(3(3(2(0(1(1(2(1(2(3(z0))))))))))))))))), 3'(2(0(0(0(1(3(3(2(0(1(1(2(1(2(3(z0)))))))))))))))), 2'(0(0(0(1(3(3(2(0(1(1(2(1(2(3(z0))))))))))))))), 0'(0(0(1(3(3(2(0(1(1(2(1(2(3(z0)))))))))))))), 0'(0(1(3(3(2(0(1(1(2(1(2(3(z0))))))))))))), 0'(1(3(3(2(0(1(1(2(1(2(3(z0)))))))))))), 1'(3(3(2(0(1(1(2(1(2(3(z0))))))))))), 3'(3(2(0(1(1(2(1(2(3(z0)))))))))), 3'(2(0(1(1(2(1(2(3(z0))))))))), 2'(0(1(1(2(1(2(3(z0)))))))), 0'(1(1(2(1(2(3(z0))))))), 1'(1(2(1(2(3(z0)))))), 1'(2(1(2(3(z0))))), 2'(1(2(3(z0)))), 1'(2(3(z0))), 2'(3(z0)), 3'(z0))
   3'(c_3(c_0(c_3(c_0(c_0(c_2(c_3(c_0(c_2(c_3(c_3(c_1(c_2(c_2(c_2(c_2(c_0(z0)))))))))))))))))) -> c87(3'(3(0(0(3(2(3(2(0(0(0(2(3(2(1(2(3(2(z0)))))))))))))))))), 3'(0(0(3(2(3(2(0(0(0(2(3(2(1(2(3(2(z0))))))))))))))))), 0'(0(3(2(3(2(0(0(0(2(3(2(1(2(3(2(z0)))))))))))))))), 0'(3(2(3(2(0(0(0(2(3(2(1(2(3(2(z0))))))))))))))), 3'(2(3(2(0(0(0(2(3(2(1(2(3(2(z0)))))))))))))), 2'(3(2(0(0(0(2(3(2(1(2(3(2(z0))))))))))))), 3'(2(0(0(0(2(3(2(1(2(3(2(z0)))))))))))), 2'(0(0(0(2(3(2(1(2(3(2(z0))))))))))), 0'(0(0(2(3(2(1(2(3(2(z0)))))))))), 0'(0(2(3(2(1(2(3(2(z0))))))))), 0'(2(3(2(1(2(3(2(z0)))))))), 2'(3(2(1(2(3(2(z0))))))), 3'(2(1(2(3(2(z0)))))), 2'(1(2(3(2(z0))))), 1'(2(3(2(z0)))), 2'(3(2(z0))), 3'(2(z0)), 2'(z0))
   3'(c_3(c_3(c_3(c_3(c_0(c_3(c_1(c_1(c_3(c_2(c_1(c_1(c_3(c_2(c_2(c_0(c_2(z0)))))))))))))))))) -> c88(3'(3(1(0(1(2(3(2(0(1(1(3(3(3(3(2(3(2(z0)))))))))))))))))), 3'(1(0(1(2(3(2(0(1(1(3(3(3(3(2(3(2(z0))))))))))))))))), 1'(0(1(2(3(2(0(1(1(3(3(3(3(2(3(2(z0)))))))))))))))), 0'(1(2(3(2(0(1(1(3(3(3(3(2(3(2(z0))))))))))))))), 1'(2(3(2(0(1(1(3(3(3(3(2(3(2(z0)))))))))))))), 2'(3(2(0(1(1(3(3(3(3(2(3(2(z0))))))))))))), 3'(2(0(1(1(3(3(3(3(2(3(2(z0)))))))))))), 2'(0(1(1(3(3(3(3(2(3(2(z0))))))))))), 0'(1(1(3(3(3(3(2(3(2(z0)))))))))), 1'(1(3(3(3(3(2(3(2(z0))))))))), 1'(3(3(3(3(2(3(2(z0)))))))), 3'(3(3(3(2(3(2(z0))))))), 3'(3(3(2(3(2(z0)))))), 3'(3(2(3(2(z0))))), 3'(2(3(2(z0)))), 2'(3(2(z0))), 3'(2(z0)), 2'(z0))
   3'(c_2(c_2(c_3(c_0(c_0(c_3(c_0(c_0(c_2(c_3(c_0(c_1(c_1(c_1(c_1(c_3(c_0(z0)))))))))))))))))) -> c89(3'(2(0(3(2(3(0(1(0(1(1(0(3(1(3(0(2(0(z0)))))))))))))))))), 2'(0(3(2(3(0(1(0(1(1(0(3(1(3(0(2(0(z0))))))))))))))))), 0'(3(2(3(0(1(0(1(1(0(3(1(3(0(2(0(z0)))))))))))))))), 3'(2(3(0(1(0(1(1(0(3(1(3(0(2(0(z0))))))))))))))), 2'(3(0(1(0(1(1(0(3(1(3(0(2(0(z0)))))))))))))), 3'(0(1(0(1(1(0(3(1(3(0(2(0(z0))))))))))))), 0'(1(0(1(1(0(3(1(3(0(2(0(z0)))))))))))), 1'(0(1(1(0(3(1(3(0(2(0(z0))))))))))), 0'(1(1(0(3(1(3(0(2(0(z0)))))))))), 1'(1(0(3(1(3(0(2(0(z0))))))))), 1'(0(3(1(3(0(2(0(z0)))))))), 0'(3(1(3(0(2(0(z0))))))), 3'(1(3(0(2(0(z0)))))), 1'(3(0(2(0(z0))))), 3'(0(2(0(z0)))), 0'(2(0(z0))), 2'(0(z0)), 0'(z0))
   3'(c_1(c_3(c_1(c_1(c_3(c_3(c_3(c_2(c_1(c_2(c_3(c_0(c_2(c_1(c_2(c_3(c_0(z0)))))))))))))))))) -> c90(3'(3(3(2(0(1(3(2(0(1(3(3(1(2(1(1(2(3(z0)))))))))))))))))), 3'(3(2(0(1(3(2(0(1(3(3(1(2(1(1(2(3(z0))))))))))))))))), 3'(2(0(1(3(2(0(1(3(3(1(2(1(1(2(3(z0)))))))))))))))), 2'(0(1(3(2(0(1(3(3(1(2(1(1(2(3(z0))))))))))))))), 0'(1(3(2(0(1(3(3(1(2(1(1(2(3(z0)))))))))))))), 1'(3(2(0(1(3(3(1(2(1(1(2(3(z0))))))))))))), 3'(2(0(1(3(3(1(2(1(1(2(3(z0)))))))))))), 2'(0(1(3(3(1(2(1(1(2(3(z0))))))))))), 0'(1(3(3(1(2(1(1(2(3(z0)))))))))), 1'(3(3(1(2(1(1(2(3(z0))))))))), 3'(3(1(2(1(1(2(3(z0)))))))), 3'(1(2(1(1(2(3(z0))))))), 1'(2(1(1(2(3(z0)))))), 2'(1(1(2(3(z0))))), 1'(1(2(3(z0)))), 1'(2(3(z0))), 2'(3(z0)), 3'(z0))
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S tuples:
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   0'(c_0(c_3(c_2(c_1(c_3(c_1(c_3(c_3(c_0(c_1(c_2(c_0(c_0(c_0(c_2(c_0(c_2(z0)))))))))))))))))) -> c15(0'(3(0(0(2(1(3(1(2(3(2(1(0(0(0(3(2(0(z0)))))))))))))))))), 3'(0(0(2(1(3(1(2(3(2(1(0(0(0(3(2(0(z0))))))))))))))))), 0'(0(2(1(3(1(2(3(2(1(0(0(0(3(2(0(z0)))))))))))))))), 0'(2(1(3(1(2(3(2(1(0(0(0(3(2(0(z0))))))))))))))), 2'(1(3(1(2(3(2(1(0(0(0(3(2(0(z0)))))))))))))), 1'(3(1(2(3(2(1(0(0(0(3(2(0(z0))))))))))))), 3'(1(2(3(2(1(0(0(0(3(2(0(z0)))))))))))), 1'(2(3(2(1(0(0(0(3(2(0(z0))))))))))), 2'(3(2(1(0(0(0(3(2(0(z0)))))))))), 3'(2(1(0(0(0(3(2(0(z0))))))))), 2'(1(0(0(0(3(2(0(z0)))))))), 1'(0(0(0(3(2(0(z0))))))), 0'(0(0(3(2(0(z0)))))), 0'(0(3(2(0(z0))))), 0'(3(2(0(z0)))), 3'(2(0(z0))), 2'(0(z0)), 0'(z0))
   0'(c_3(c_3(c_3(c_1(c_2(c_0(c_0(c_3(c_2(c_0(c_1(c_2(c_1(c_3(c_0(c_2(c_0(z0)))))))))))))))))) -> c16(0'(2(1(0(1(0(1(0(0(3(3(2(3(0(2(3(2(3(z0)))))))))))))))))), 2'(1(0(1(0(1(0(0(3(3(2(3(0(2(3(2(3(z0))))))))))))))))), 1'(0(1(0(1(0(0(3(3(2(3(0(2(3(2(3(z0)))))))))))))))), 0'(1(0(1(0(0(3(3(2(3(0(2(3(2(3(z0))))))))))))))), 1'(0(1(0(0(3(3(2(3(0(2(3(2(3(z0)))))))))))))), 0'(1(0(0(3(3(2(3(0(2(3(2(3(z0))))))))))))), 1'(0(0(3(3(2(3(0(2(3(2(3(z0)))))))))))), 0'(0(3(3(2(3(0(2(3(2(3(z0))))))))))), 0'(3(3(2(3(0(2(3(2(3(z0)))))))))), 3'(3(2(3(0(2(3(2(3(z0))))))))), 3'(2(3(0(2(3(2(3(z0)))))))), 2'(3(0(2(3(2(3(z0))))))), 3'(0(2(3(2(3(z0)))))), 0'(2(3(2(3(z0))))), 2'(3(2(3(z0)))), 3'(2(3(z0))), 2'(3(z0)), 3'(z0))
   0'(c_0(c_1(c_2(c_0(c_0(c_3(c_3(c_2(c_1(c_3(c_3(c_3(c_1(c_1(c_1(c_1(c_2(z0)))))))))))))))))) -> c17(0'(0(3(3(1(0(2(3(2(1(1(3(1(1(1(3(2(0(z0)))))))))))))))))), 0'(3(3(1(0(2(3(2(1(1(3(1(1(1(3(2(0(z0))))))))))))))))), 3'(3(1(0(2(3(2(1(1(3(1(1(1(3(2(0(z0)))))))))))))))), 3'(1(0(2(3(2(1(1(3(1(1(1(3(2(0(z0))))))))))))))), 1'(0(2(3(2(1(1(3(1(1(1(3(2(0(z0)))))))))))))), 0'(2(3(2(1(1(3(1(1(1(3(2(0(z0))))))))))))), 2'(3(2(1(1(3(1(1(1(3(2(0(z0)))))))))))), 3'(2(1(1(3(1(1(1(3(2(0(z0))))))))))), 2'(1(1(3(1(1(1(3(2(0(z0)))))))))), 1'(1(3(1(1(1(3(2(0(z0))))))))), 1'(3(1(1(1(3(2(0(z0)))))))), 3'(1(1(1(3(2(0(z0))))))), 1'(1(1(3(2(0(z0)))))), 1'(1(3(2(0(z0))))), 1'(3(2(0(z0)))), 3'(2(0(z0))), 2'(0(z0)), 0'(z0))
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   3'(c_2(c_2(c_3(c_0(c_0(c_3(c_0(c_0(c_2(c_3(c_0(c_1(c_1(c_1(c_1(c_3(c_0(z0)))))))))))))))))) -> c89(3'(2(0(3(2(3(0(1(0(1(1(0(3(1(3(0(2(0(z0)))))))))))))))))), 2'(0(3(2(3(0(1(0(1(1(0(3(1(3(0(2(0(z0))))))))))))))))), 0'(3(2(3(0(1(0(1(1(0(3(1(3(0(2(0(z0)))))))))))))))), 3'(2(3(0(1(0(1(1(0(3(1(3(0(2(0(z0))))))))))))))), 2'(3(0(1(0(1(1(0(3(1(3(0(2(0(z0)))))))))))))), 3'(0(1(0(1(1(0(3(1(3(0(2(0(z0))))))))))))), 0'(1(0(1(1(0(3(1(3(0(2(0(z0)))))))))))), 1'(0(1(1(0(3(1(3(0(2(0(z0))))))))))), 0'(1(1(0(3(1(3(0(2(0(z0)))))))))), 1'(1(0(3(1(3(0(2(0(z0))))))))), 1'(0(3(1(3(0(2(0(z0)))))))), 0'(3(1(3(0(2(0(z0))))))), 3'(1(3(0(2(0(z0)))))), 1'(3(0(2(0(z0))))), 3'(0(2(0(z0)))), 0'(2(0(z0))), 2'(0(z0)), 0'(z0))
   3'(c_1(c_3(c_1(c_1(c_3(c_3(c_3(c_2(c_1(c_2(c_3(c_0(c_2(c_1(c_2(c_3(c_0(z0)))))))))))))))))) -> c90(3'(3(3(2(0(1(3(2(0(1(3(3(1(2(1(1(2(3(z0)))))))))))))))))), 3'(3(2(0(1(3(2(0(1(3(3(1(2(1(1(2(3(z0))))))))))))))))), 3'(2(0(1(3(2(0(1(3(3(1(2(1(1(2(3(z0)))))))))))))))), 2'(0(1(3(2(0(1(3(3(1(2(1(1(2(3(z0))))))))))))))), 0'(1(3(2(0(1(3(3(1(2(1(1(2(3(z0)))))))))))))), 1'(3(2(0(1(3(3(1(2(1(1(2(3(z0))))))))))))), 3'(2(0(1(3(3(1(2(1(1(2(3(z0)))))))))))), 2'(0(1(3(3(1(2(1(1(2(3(z0))))))))))), 0'(1(3(3(1(2(1(1(2(3(z0)))))))))), 1'(3(3(1(2(1(1(2(3(z0))))))))), 3'(3(1(2(1(1(2(3(z0)))))))), 3'(1(2(1(1(2(3(z0))))))), 1'(2(1(1(2(3(z0)))))), 2'(1(1(2(3(z0))))), 1'(1(2(3(z0)))), 1'(2(3(z0))), 2'(3(z0)), 3'(z0))
   3'(c_0(c_2(c_2(c_0(c_0(c_1(c_2(c_3(c_0(c_0(c_1(c_1(c_2(c_0(c_1(c_2(c_2(z0)))))))))))))))))) -> c91(2'(3(0(2(3(1(1(0(2(0(2(1(1(0(0(2(0(2(z0)))))))))))))))))), 3'(0(2(3(1(1(0(2(0(2(1(1(0(0(2(0(2(z0))))))))))))))))), 0'(2(3(1(1(0(2(0(2(1(1(0(0(2(0(2(z0)))))))))))))))), 2'(3(1(1(0(2(0(2(1(1(0(0(2(0(2(z0))))))))))))))), 3'(1(1(0(2(0(2(1(1(0(0(2(0(2(z0)))))))))))))), 1'(1(0(2(0(2(1(1(0(0(2(0(2(z0))))))))))))), 1'(0(2(0(2(1(1(0(0(2(0(2(z0)))))))))))), 0'(2(0(2(1(1(0(0(2(0(2(z0))))))))))), 2'(0(2(1(1(0(0(2(0(2(z0)))))))))), 0'(2(1(1(0(0(2(0(2(z0))))))))), 2'(1(1(0(0(2(0(2(z0)))))))), 1'(1(0(0(2(0(2(z0))))))), 1'(0(0(2(0(2(z0)))))), 0'(0(2(0(2(z0))))), 0'(2(0(2(z0)))), 2'(0(2(z0))), 0'(2(z0)), 2'(z0))
K tuples:none
Defined Rule Symbols:   0_1, 2_1, 3_1, 1_1, encArg_1, encode_0_1, encode_3_1, encode_1_1, encode_2_1

Defined Pair Symbols:   ENCARG_1, ENCODE_0_1, ENCODE_3_1, ENCODE_1_1, ENCODE_2_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_18, c10_18, c11_18, c12_18, c13_18, c14_18, c15_18, c16_18, c17_18, c18_18, c19_18, c20_18, c21_18, c22_18, c23_18, c24_18, c25_18, c26_18, c27_18, c28_18, c29_18, c30_18, c31_18, c32, c33_18, c34_18, c35_18, c36_18, c37_18, c38_18, c39_18, c40_18, c41_18, c42_18, c43_18, c44_18, c45_18, c46_18, c47_18, c48_18, c49_18, c50_18, c51_18, c52_18, c53_18, c54, c55_18, c56_18, c57_18, c58_18, c59_18, c60_18, c61_18, c62_18, c63_18, c64_18, c65_18, c66_18, c67_18, c68_18, c69_18, c70_18, c71_18, c72_18, c73_18, c74, c75_18, c76_18, c77_18, c78_18, c79_18, c80_18, c81_18, c82_18, c83_18, c84_18, c85_18, c86_18, c87_18, c88_18, c89_18, c90_18, c91_18


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

(39) CdtLeafRemovalProof (BOTH BOUNDS(ID, ID))
Removed 4 trailing nodes:
   1'(z0) -> c32
   0'(z0) -> c8
   2'(z0) -> c54
   3'(z0) -> c74

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

(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_3(z0) -> 3(encArg(z0))
   encode_1(z0) -> 1(encArg(z0))
   encode_2(z0) -> 2(encArg(z0))
   0(z0) -> c_0(z0)
   0(c_0(c_0(c_1(c_0(c_0(c_0(c_2(c_1(c_1(c_2(c_0(c_1(c_0(c_1(c_2(c_0(c_0(z0)))))))))))))))))) -> 0(1(0(1(1(0(0(2(1(1(0(0(2(0(2(0(0(0(z0))))))))))))))))))
   0(c_0(c_1(c_3(c_2(c_1(c_0(c_0(c_3(c_2(c_3(c_1(c_3(c_0(c_0(c_2(c_0(c_0(z0)))))))))))))))))) -> 0(0(2(3(2(0(1(0(2(1(0(1(0(3(0(3(0(3(z0))))))))))))))))))
   0(c_3(c_1(c_2(c_3(c_1(c_0(c_3(c_3(c_3(c_1(c_3(c_0(c_3(c_2(c_2(c_1(c_2(z0)))))))))))))))))) -> 1(0(3(1(0(3(3(3(3(2(3(2(3(2(0(2(1(1(z0))))))))))))))))))
   0(c_0(c_3(c_0(c_3(c_1(c_2(c_0(c_3(c_0(c_3(c_1(c_0(c_0(c_1(c_0(c_1(c_3(z0)))))))))))))))))) -> 0(3(0(0(3(3(0(1(0(3(0(1(0(0(2(1(1(3(z0))))))))))))))))))
   0(c_2(c_3(c_3(c_1(c_0(c_3(c_0(c_0(c_0(c_2(c_0(c_1(c_3(c_1(c_3(c_3(c_0(z0)))))))))))))))))) -> 0(3(0(3(3(2(3(2(3(0(0(0(0(1(1(1(3(0(z0))))))))))))))))))
   0(c_0(c_1(c_3(c_1(c_0(c_3(c_1(c_1(c_3(c_1(c_2(c_3(c_1(c_2(c_2(c_1(c_1(z0)))))))))))))))))) -> 0(3(0(2(1(0(3(2(1(1(2(1(3(1(3(1(1(1(z0))))))))))))))))))
   0(c_0(c_3(c_2(c_1(c_3(c_1(c_3(c_3(c_0(c_1(c_2(c_0(c_0(c_0(c_2(c_0(c_2(z0)))))))))))))))))) -> 0(3(0(0(2(1(3(1(2(3(2(1(0(0(0(3(2(0(z0))))))))))))))))))
   0(c_3(c_3(c_3(c_1(c_2(c_0(c_0(c_3(c_2(c_0(c_1(c_2(c_1(c_3(c_0(c_2(c_0(z0)))))))))))))))))) -> 0(2(1(0(1(0(1(0(0(3(3(2(3(0(2(3(2(3(z0))))))))))))))))))
   0(c_0(c_1(c_2(c_0(c_0(c_3(c_3(c_2(c_1(c_3(c_3(c_3(c_1(c_1(c_1(c_1(c_2(z0)))))))))))))))))) -> 0(0(3(3(1(0(2(3(2(1(1(3(1(1(1(3(2(0(z0))))))))))))))))))
   0(c_0(c_1(c_1(c_1(c_3(c_2(c_2(c_2(c_1(c_3(c_2(c_3(c_0(c_0(c_0(c_0(c_0(z0)))))))))))))))))) -> 1(0(0(3(2(0(1(3(2(0(0(2(3(1(0(2(1(0(z0))))))))))))))))))
   0(c_3(c_0(c_3(c_2(c_2(c_0(c_3(c_3(c_1(c_0(c_0(c_3(c_0(c_3(c_0(c_1(c_0(z0)))))))))))))))))) -> 0(3(0(0(3(3(3(2(1(3(2(0(0(1(3(0(0(0(z0))))))))))))))))))
   0(c_0(c_0(c_3(c_0(c_3(c_0(c_1(c_2(c_1(c_0(c_0(c_0(c_1(c_2(c_3(c_3(c_3(z0)))))))))))))))))) -> 0(0(0(2(3(0(0(0(0(1(1(3(1(0(2(3(3(3(z0))))))))))))))))))
   0(c_0(c_3(c_0(c_3(c_3(c_3(c_1(c_1(c_1(c_3(c_1(c_1(c_2(c_1(c_2(c_3(c_0(z0)))))))))))))))))) -> 0(3(3(1(2(1(3(0(3(3(2(0(1(1(0(1(1(3(z0))))))))))))))))))
   0(c_0(c_1(c_0(c_1(c_1(c_1(c_0(c_2(c_2(c_3(c_3(c_1(c_3(c_0(c_2(c_1(c_0(z0)))))))))))))))))) -> 0(0(1(1(1(3(3(3(2(1(1(0(0(1(2(0(2(0(z0))))))))))))))))))
   0(c_0(c_0(c_0(c_3(c_0(c_3(c_1(c_3(c_1(c_2(c_2(c_1(c_3(c_1(c_0(c_0(c_2(z0)))))))))))))))))) -> 0(0(3(3(2(1(3(0(0(1(1(2(0(0(1(0(2(3(z0))))))))))))))))))
   0(c_0(c_1(c_2(c_0(c_1(c_0(c_1(c_1(c_0(c_1(c_2(c_2(c_3(c_3(c_1(c_2(c_2(z0)))))))))))))))))) -> 0(2(0(1(2(3(1(1(0(0(2(3(2(1(1(1(0(2(z0))))))))))))))))))
   0(c_2(c_2(c_3(c_2(c_3(c_2(c_2(c_2(c_2(c_2(c_3(c_3(c_0(c_0(c_0(c_0(c_3(z0)))))))))))))))))) -> 0(2(0(3(2(2(0(3(3(3(2(2(2(0(2(0(2(3(z0))))))))))))))))))
   0(c_0(c_2(c_3(c_3(c_3(c_0(c_0(c_1(c_1(c_2(c_2(c_0(c_3(c_2(c_3(c_3(c_0(z0)))))))))))))))))) -> 0(3(0(2(3(0(1(3(3(2(0(0(3(3(2(1(2(0(z0))))))))))))))))))
   0(c_1(c_3(c_0(c_1(c_0(c_1(c_1(c_2(c_2(c_2(c_3(c_3(c_0(c_3(c_0(c_0(c_0(z0)))))))))))))))))) -> 0(2(1(0(0(3(2(0(0(3(3(3(1(1(0(1(2(0(z0))))))))))))))))))
   0(c_1(c_2(c_3(c_0(c_2(c_1(c_2(c_3(c_0(c_0(c_3(c_0(c_1(c_0(c_1(c_3(c_0(z0)))))))))))))))))) -> 0(2(0(0(0(2(3(3(1(1(3(2(0(3(0(0(1(1(z0))))))))))))))))))
   0(c_0(c_3(c_0(c_2(c_0(c_1(c_1(c_3(c_1(c_0(c_2(c_0(c_0(c_0(c_2(c_1(c_1(z0)))))))))))))))))) -> 0(3(1(0(3(2(0(1(0(1(0(0(2(0(1(2(0(1(z0))))))))))))))))))
   0(c_0(c_3(c_3(c_1(c_2(c_3(c_0(c_2(c_3(c_3(c_3(c_0(c_0(c_3(c_2(c_2(c_3(z0)))))))))))))))))) -> 3(0(3(3(2(0(2(3(2(0(3(1(3(3(2(0(0(3(z0))))))))))))))))))
   0(c_0(c_2(c_2(c_1(c_1(c_3(c_0(c_2(c_2(c_2(c_2(c_0(c_3(c_3(c_0(c_1(c_0(z0)))))))))))))))))) -> 0(2(2(1(1(0(2(3(0(0(2(0(2(1(3(2(3(0(z0))))))))))))))))))
   1(z0) -> c_1(z0)
   1(c_3(c_0(c_3(c_3(c_0(c_2(c_3(c_1(c_0(c_0(c_0(c_3(c_2(c_1(c_2(c_3(c_3(z0)))))))))))))))))) -> 1(3(0(2(0(0(3(1(0(2(1(0(2(3(3(3(3(3(z0))))))))))))))))))
   1(c_2(c_1(c_2(c_2(c_0(c_1(c_3(c_0(c_2(c_3(c_2(c_2(c_3(c_2(c_3(c_3(c_0(z0)))))))))))))))))) -> 1(2(0(3(0(2(2(1(3(3(2(2(2(3(3(2(1(0(z0))))))))))))))))))
   1(c_2(c_0(c_0(c_1(c_1(c_0(c_1(c_2(c_0(c_1(c_1(c_2(c_0(c_0(c_3(c_3(c_1(z0)))))))))))))))))) -> 1(1(1(0(1(0(1(0(1(0(0(2(0(1(3(3(2(2(z0))))))))))))))))))
   1(c_0(c_0(c_0(c_3(c_0(c_0(c_1(c_3(c_1(c_2(c_1(c_2(c_2(c_1(c_2(c_3(c_1(z0)))))))))))))))))) -> 1(3(0(0(0(3(2(1(2(1(0(0(1(3(2(2(1(1(z0))))))))))))))))))
   1(c_0(c_2(c_3(c_1(c_3(c_2(c_2(c_3(c_1(c_2(c_0(c_1(c_0(c_3(c_0(c_0(c_0(z0)))))))))))))))))) -> 1(0(3(3(2(1(3(2(3(0(1(2(0(0(2(1(0(0(z0))))))))))))))))))
   1(c_3(c_1(c_2(c_2(c_2(c_0(c_3(c_3(c_2(c_1(c_0(c_3(c_3(c_0(c_0(c_3(c_0(z0)))))))))))))))))) -> 1(3(2(3(0(2(3(3(3(0(0(2(0(1(3(2(1(0(z0))))))))))))))))))
   1(c_2(c_1(c_3(c_1(c_1(c_3(c_0(c_3(c_1(c_1(c_1(c_1(c_1(c_3(c_0(c_1(c_3(z0)))))))))))))))))) -> 1(0(1(1(0(3(1(3(3(1(1(3(2(1(1(1(1(3(z0))))))))))))))))))
   1(c_3(c_1(c_1(c_1(c_2(c_0(c_2(c_1(c_2(c_0(c_3(c_3(c_1(c_2(c_2(c_3(c_1(z0)))))))))))))))))) -> 1(2(1(2(1(2(2(1(1(1(1(0(3(3(3(0(3(2(z0))))))))))))))))))
   1(c_3(c_0(c_0(c_1(c_2(c_3(c_3(c_2(c_3(c_1(c_1(c_3(c_1(c_0(c_3(c_1(c_2(z0)))))))))))))))))) -> 1(1(2(3(3(3(3(1(1(0(2(0(1(3(3(2(0(1(z0))))))))))))))))))
   1(c_1(c_1(c_2(c_1(c_2(c_3(c_0(c_0(c_2(c_3(c_0(c_3(c_1(c_3(c_2(c_0(c_2(z0)))))))))))))))))) -> 1(1(1(3(0(2(0(2(0(2(3(2(0(3(3(1(1(2(z0))))))))))))))))))
   1(c_0(c_3(c_3(c_3(c_0(c_2(c_3(c_0(c_2(c_1(c_1(c_0(c_3(c_3(c_1(c_3(c_1(z0)))))))))))))))))) -> 1(3(3(1(1(1(0(3(0(0(3(3(3(2(3(2(0(1(z0))))))))))))))))))
   1(c_2(c_2(c_3(c_2(c_1(c_3(c_0(c_3(c_1(c_3(c_3(c_1(c_3(c_0(c_3(c_3(c_3(z0)))))))))))))))))) -> 1(3(3(1(1(2(0(3(3(2(3(1(3(2(0(3(3(3(z0))))))))))))))))))
   1(c_2(c_1(c_2(c_3(c_0(c_3(c_0(c_2(c_2(c_0(c_2(c_3(c_2(c_0(c_1(c_1(c_2(z0)))))))))))))))))) -> 1(0(1(3(2(2(0(2(1(2(1(3(2(0(2(3(0(2(z0))))))))))))))))))
   1(c_2(c_2(c_3(c_3(c_0(c_1(c_2(c_1(c_0(c_3(c_1(c_2(c_3(c_1(c_1(c_2(c_2(z0)))))))))))))))))) -> 1(3(3(2(3(3(1(2(2(0(1(2(2(2(1(1(1(0(z0))))))))))))))))))
   1(c_3(c_3(c_0(c_3(c_1(c_0(c_1(c_3(c_1(c_2(c_2(c_0(c_3(c_1(c_1(c_0(c_0(z0)))))))))))))))))) -> 1(3(2(0(3(0(0(0(3(2(1(3(1(1(1(1(3(0(z0))))))))))))))))))
   1(c_1(c_2(c_1(c_3(c_0(c_2(c_1(c_0(c_0(c_3(c_0(c_1(c_2(c_2(c_0(c_3(c_3(z0)))))))))))))))))) -> 1(0(3(2(1(0(3(3(1(0(2(2(0(1(0(2(1(3(z0))))))))))))))))))
   1(c_2(c_1(c_0(c_1(c_3(c_0(c_3(c_3(c_1(c_3(c_1(c_2(c_2(c_3(c_0(c_2(c_0(z0)))))))))))))))))) -> 1(1(3(3(2(0(0(3(2(1(2(3(3(2(0(1(1(0(z0))))))))))))))))))
   1(c_0(c_3(c_0(c_2(c_3(c_0(c_3(c_1(c_3(c_1(c_1(c_2(c_0(c_3(c_0(c_3(c_0(z0)))))))))))))))))) -> 1(0(1(0(2(3(0(3(0(3(0(3(3(1(0(2(1(3(z0))))))))))))))))))
   1(c_2(c_3(c_1(c_3(c_0(c_1(c_1(c_3(c_1(c_3(c_1(c_2(c_0(c_3(c_2(c_3(c_0(z0)))))))))))))))))) -> 1(1(3(2(1(3(3(0(2(0(3(3(1(1(3(2(0(1(z0))))))))))))))))))
   1(c_1(c_2(c_3(c_3(c_1(c_0(c_0(c_3(c_1(c_3(c_3(c_3(c_0(c_0(c_1(c_3(c_1(z0)))))))))))))))))) -> 1(3(0(2(3(3(3(1(1(0(3(3(3(0(1(1(0(1(z0))))))))))))))))))
   1(c_3(c_1(c_2(c_0(c_1(c_2(c_0(c_0(c_1(c_0(c_0(c_2(c_3(c_0(c_1(c_1(c_2(z0)))))))))))))))))) -> 1(3(2(2(0(2(1(0(1(0(0(1(2(0(1(1(3(0(z0))))))))))))))))))
   2(z0) -> c_2(z0)
   2(c_3(c_1(c_1(c_2(c_0(c_2(c_0(c_3(c_2(c_2(c_3(c_1(c_2(c_2(c_3(c_0(c_0(z0)))))))))))))))))) -> 2(2(2(2(1(3(0(2(0(3(2(1(0(1(0(3(2(3(z0))))))))))))))))))
   2(c_2(c_0(c_2(c_3(c_3(c_2(c_2(c_0(c_3(c_1(c_0(c_0(c_2(c_2(c_3(c_0(c_0(z0)))))))))))))))))) -> 2(2(0(0(3(3(2(3(2(3(2(0(2(0(0(0(1(2(z0))))))))))))))))))
   2(c_2(c_3(c_3(c_1(c_2(c_3(c_2(c_1(c_2(c_1(c_3(c_2(c_2(c_1(c_1(c_2(c_1(z0)))))))))))))))))) -> 2(1(1(1(2(2(3(2(3(3(3(2(1(2(1(2(2(1(z0))))))))))))))))))
   2(c_3(c_0(c_0(c_3(c_0(c_0(c_3(c_0(c_2(c_2(c_2(c_2(c_3(c_2(c_0(c_3(c_0(z0)))))))))))))))))) -> 2(2(3(0(2(0(0(2(0(3(3(2(3(3(2(0(0(0(z0))))))))))))))))))
   2(c_0(c_1(c_1(c_2(c_1(c_1(c_2(c_2(c_1(c_1(c_2(c_1(c_2(c_2(c_0(c_0(c_2(z0)))))))))))))))))) -> 2(0(2(1(2(1(0(2(2(2(1(2(1(0(2(1(1(1(z0))))))))))))))))))
   2(c_2(c_1(c_1(c_3(c_0(c_0(c_3(c_2(c_3(c_1(c_2(c_1(c_0(c_0(c_2(c_1(c_2(z0)))))))))))))))))) -> 2(1(0(0(2(1(0(3(3(2(2(1(1(1(0(3(2(2(z0))))))))))))))))))
   2(c_2(c_3(c_3(c_3(c_3(c_3(c_1(c_2(c_0(c_1(c_1(c_1(c_2(c_3(c_1(c_2(c_1(z0)))))))))))))))))) -> 1(3(3(3(2(0(1(2(1(2(1(3(2(3(3(2(1(1(z0))))))))))))))))))
   2(c_3(c_2(c_3(c_0(c_0(c_0(c_3(c_3(c_2(c_2(c_2(c_2(c_3(c_2(c_2(c_0(c_2(z0)))))))))))))))))) -> 2(3(3(2(3(2(0(2(2(0(0(3(2(0(2(2(3(2(z0))))))))))))))))))
   2(c_2(c_0(c_1(c_2(c_3(c_3(c_0(c_3(c_2(c_2(c_2(c_0(c_3(c_3(c_1(c_1(c_3(z0)))))))))))))))))) -> 2(1(3(2(0(3(3(0(2(1(1(3(2(0(3(2(2(3(z0))))))))))))))))))
   2(c_0(c_0(c_2(c_2(c_0(c_3(c_0(c_1(c_0(c_2(c_3(c_3(c_1(c_2(c_1(c_2(c_2(z0)))))))))))))))))) -> 2(0(1(2(2(3(0(3(3(2(0(1(2(2(1(0(2(0(z0))))))))))))))))))
   2(c_3(c_1(c_1(c_3(c_1(c_0(c_2(c_3(c_0(c_0(c_0(c_2(c_3(c_3(c_2(c_3(c_1(z0)))))))))))))))))) -> 2(3(3(2(0(2(1(0(3(3(0(3(1(0(1(2(3(1(z0))))))))))))))))))
   2(c_2(c_3(c_1(c_1(c_2(c_2(c_0(c_1(c_0(c_1(c_0(c_1(c_0(c_1(c_3(c_1(c_0(z0)))))))))))))))))) -> 2(0(1(0(1(1(0(3(2(1(1(0(2(2(3(1(1(0(z0))))))))))))))))))
   2(c_2(c_3(c_1(c_2(c_2(c_2(c_1(c_2(c_0(c_1(c_3(c_2(c_2(c_3(c_3(c_0(c_0(z0)))))))))))))))))) -> 2(1(2(2(3(3(2(2(0(1(0(2(2(3(1(0(2(3(z0))))))))))))))))))
   2(c_0(c_0(c_3(c_0(c_3(c_1(c_1(c_2(c_2(c_2(c_2(c_3(c_2(c_0(c_0(c_3(c_0(z0)))))))))))))))))) -> 2(0(3(0(1(3(2(2(3(0(1(3(2(2(0(2(0(0(z0))))))))))))))))))
   2(c_0(c_0(c_0(c_0(c_3(c_1(c_2(c_2(c_0(c_3(c_0(c_2(c_0(c_3(c_1(c_3(c_2(z0)))))))))))))))))) -> 2(0(1(0(2(3(2(0(3(3(2(3(0(2(1(0(0(0(z0))))))))))))))))))
   2(c_3(c_0(c_0(c_0(c_2(c_0(c_0(c_1(c_3(c_3(c_1(c_2(c_2(c_2(c_2(c_2(c_2(z0)))))))))))))))))) -> 2(1(2(2(3(0(0(3(0(3(2(0(0(2(2(1(2(2(z0))))))))))))))))))
   2(c_0(c_0(c_3(c_1(c_2(c_1(c_3(c_0(c_2(c_2(c_2(c_1(c_2(c_2(c_2(c_3(c_1(z0)))))))))))))))))) -> 2(1(0(3(2(2(1(2(3(2(2(0(3(2(2(0(1(1(z0))))))))))))))))))
   2(c_1(c_2(c_0(c_2(c_1(c_3(c_0(c_1(c_2(c_1(c_0(c_2(c_1(c_3(c_1(c_2(c_0(z0)))))))))))))))))) -> 2(1(2(3(1(0(1(0(0(2(1(1(3(2(0(2(1(2(z0))))))))))))))))))
   2(c_3(c_0(c_3(c_1(c_1(c_2(c_3(c_1(c_3(c_2(c_0(c_1(c_2(c_2(c_1(c_3(c_0(z0)))))))))))))))))) -> 2(1(1(0(1(2(1(3(3(3(2(2(0(2(1(3(3(0(z0))))))))))))))))))
   3(z0) -> c_3(z0)
   3(c_2(c_1(c_1(c_1(c_3(c_1(c_1(c_2(c_2(c_1(c_2(c_1(c_1(c_2(c_3(c_0(c_1(z0)))))))))))))))))) -> 3(2(1(1(1(1(1(0(3(2(2(2(1(2(3(1(1(1(z0))))))))))))))))))
   3(c_1(c_2(c_1(c_0(c_3(c_1(c_1(c_2(c_2(c_3(c_0(c_2(c_2(c_3(c_0(c_2(c_0(z0)))))))))))))))))) -> 3(1(1(1(2(2(2(0(3(2(0(3(2(3(2(0(0(1(z0))))))))))))))))))
   3(c_3(c_1(c_1(c_3(c_1(c_0(c_1(c_3(c_1(c_2(c_3(c_3(c_3(c_1(c_1(c_3(c_0(z0)))))))))))))))))) -> 3(3(1(0(3(3(1(3(3(3(3(1(1(1(1(2(0(1(z0))))))))))))))))))
   3(c_1(c_3(c_0(c_3(c_0(c_3(c_2(c_2(c_3(c_0(c_2(c_3(c_1(c_2(c_1(c_0(c_2(z0)))))))))))))))))) -> 3(0(2(2(3(2(0(1(3(1(0(2(1(3(3(2(0(3(z0))))))))))))))))))
   3(c_0(c_2(c_0(c_3(c_3(c_0(c_0(c_2(c_2(c_0(c_1(c_0(c_3(c_3(c_1(c_3(c_1(z0)))))))))))))))))) -> 3(0(2(1(0(1(3(3(2(0(0(3(0(3(2(3(1(0(z0))))))))))))))))))
   3(c_3(c_0(c_2(c_1(c_2(c_2(c_0(c_0(c_1(c_3(c_2(c_0(c_0(c_1(c_2(c_3(c_0(z0)))))))))))))))))) -> 0(0(1(1(0(2(2(3(3(2(1(0(0(2(3(3(2(0(z0))))))))))))))))))
   3(c_3(c_0(c_2(c_0(c_2(c_0(c_3(c_3(c_3(c_1(c_0(c_2(c_2(c_2(c_3(c_3(c_0(z0)))))))))))))))))) -> 3(2(2(1(0(3(2(0(0(2(3(3(2(3(3(0(0(3(z0))))))))))))))))))
   3(c_0(c_1(c_0(c_3(c_1(c_2(c_2(c_0(c_1(c_1(c_1(c_3(c_3(c_0(c_2(c_3(c_0(z0)))))))))))))))))) -> 0(3(3(2(1(0(0(2(3(3(1(1(0(1(1(3(2(0(z0))))))))))))))))))
   3(c_1(c_2(c_0(c_1(c_2(c_0(c_3(c_1(c_2(c_1(c_0(c_0(c_2(c_0(c_3(c_0(c_2(z0)))))))))))))))))) -> 3(1(0(2(2(1(3(0(0(2(0(3(2(1(1(0(2(0(z0))))))))))))))))))
   3(c_1(c_3(c_1(c_1(c_3(c_0(c_2(c_0(c_0(c_3(c_0(c_2(c_3(c_1(c_2(c_2(c_2(z0)))))))))))))))))) -> 3(1(3(1(0(3(3(2(1(2(1(2(0(2(3(2(0(0(z0))))))))))))))))))
   3(c_0(c_1(c_2(c_2(c_3(c_0(c_1(c_2(c_1(c_3(c_1(c_3(c_3(c_3(c_1(c_1(c_3(z0)))))))))))))))))) -> 0(2(1(3(3(3(2(1(1(0(1(3(3(2(1(1(3(3(z0))))))))))))))))))
   3(c_0(c_2(c_0(c_3(c_1(c_1(c_3(c_2(c_1(c_3(c_0(c_2(c_0(c_2(c_1(c_1(c_3(z0)))))))))))))))))) -> 1(3(3(2(0(0(0(1(3(3(2(0(1(1(2(1(2(3(z0))))))))))))))))))
   3(c_3(c_0(c_3(c_0(c_0(c_2(c_3(c_0(c_2(c_3(c_3(c_1(c_2(c_2(c_2(c_2(c_0(z0)))))))))))))))))) -> 3(3(0(0(3(2(3(2(0(0(0(2(3(2(1(2(3(2(z0))))))))))))))))))
   3(c_3(c_3(c_3(c_3(c_0(c_3(c_1(c_1(c_3(c_2(c_1(c_1(c_3(c_2(c_2(c_0(c_2(z0)))))))))))))))))) -> 3(3(1(0(1(2(3(2(0(1(1(3(3(3(3(2(3(2(z0))))))))))))))))))
   3(c_2(c_2(c_3(c_0(c_0(c_3(c_0(c_0(c_2(c_3(c_0(c_1(c_1(c_1(c_1(c_3(c_0(z0)))))))))))))))))) -> 3(2(0(3(2(3(0(1(0(1(1(0(3(1(3(0(2(0(z0))))))))))))))))))
   3(c_1(c_3(c_1(c_1(c_3(c_3(c_3(c_2(c_1(c_2(c_3(c_0(c_2(c_1(c_2(c_3(c_0(z0)))))))))))))))))) -> 3(3(3(2(0(1(3(2(0(1(3(3(1(2(1(1(2(3(z0))))))))))))))))))
   3(c_0(c_2(c_2(c_0(c_0(c_1(c_2(c_3(c_0(c_0(c_1(c_1(c_2(c_0(c_1(c_2(c_2(z0)))))))))))))))))) -> 2(3(0(2(3(1(1(0(2(0(2(1(1(0(0(2(0(2(z0))))))))))))))))))
Tuples:
   ENCARG(cons_0(z0)) -> c(0'(encArg(z0)), ENCARG(z0))
   ENCARG(cons_1(z0)) -> c1(1'(encArg(z0)), ENCARG(z0))
   ENCARG(cons_2(z0)) -> c2(2'(encArg(z0)), ENCARG(z0))
   ENCARG(cons_3(z0)) -> c3(3'(encArg(z0)), ENCARG(z0))
   ENCODE_0(z0) -> c4(0'(encArg(z0)), ENCARG(z0))
   ENCODE_3(z0) -> c5(3'(encArg(z0)), ENCARG(z0))
   ENCODE_1(z0) -> c6(1'(encArg(z0)), ENCARG(z0))
   ENCODE_2(z0) -> c7(2'(encArg(z0)), ENCARG(z0))
   0'(c_0(c_0(c_1(c_0(c_0(c_0(c_2(c_1(c_1(c_2(c_0(c_1(c_0(c_1(c_2(c_0(c_0(z0)))))))))))))))))) -> c9(0'(1(0(1(1(0(0(2(1(1(0(0(2(0(2(0(0(0(z0)))))))))))))))))), 1'(0(1(1(0(0(2(1(1(0(0(2(0(2(0(0(0(z0))))))))))))))))), 0'(1(1(0(0(2(1(1(0(0(2(0(2(0(0(0(z0)))))))))))))))), 1'(1(0(0(2(1(1(0(0(2(0(2(0(0(0(z0))))))))))))))), 1'(0(0(2(1(1(0(0(2(0(2(0(0(0(z0)))))))))))))), 0'(0(2(1(1(0(0(2(0(2(0(0(0(z0))))))))))))), 0'(2(1(1(0(0(2(0(2(0(0(0(z0)))))))))))), 2'(1(1(0(0(2(0(2(0(0(0(z0))))))))))), 1'(1(0(0(2(0(2(0(0(0(z0)))))))))), 1'(0(0(2(0(2(0(0(0(z0))))))))), 0'(0(2(0(2(0(0(0(z0)))))))), 0'(2(0(2(0(0(0(z0))))))), 2'(0(2(0(0(0(z0)))))), 0'(2(0(0(0(z0))))), 2'(0(0(0(z0)))), 0'(0(0(z0))), 0'(0(z0)), 0'(z0))
   0'(c_0(c_1(c_3(c_2(c_1(c_0(c_0(c_3(c_2(c_3(c_1(c_3(c_0(c_0(c_2(c_0(c_0(z0)))))))))))))))))) -> c10(0'(0(2(3(2(0(1(0(2(1(0(1(0(3(0(3(0(3(z0)))))))))))))))))), 0'(2(3(2(0(1(0(2(1(0(1(0(3(0(3(0(3(z0))))))))))))))))), 2'(3(2(0(1(0(2(1(0(1(0(3(0(3(0(3(z0)))))))))))))))), 3'(2(0(1(0(2(1(0(1(0(3(0(3(0(3(z0))))))))))))))), 2'(0(1(0(2(1(0(1(0(3(0(3(0(3(z0)))))))))))))), 0'(1(0(2(1(0(1(0(3(0(3(0(3(z0))))))))))))), 1'(0(2(1(0(1(0(3(0(3(0(3(z0)))))))))))), 0'(2(1(0(1(0(3(0(3(0(3(z0))))))))))), 2'(1(0(1(0(3(0(3(0(3(z0)))))))))), 1'(0(1(0(3(0(3(0(3(z0))))))))), 0'(1(0(3(0(3(0(3(z0)))))))), 1'(0(3(0(3(0(3(z0))))))), 0'(3(0(3(0(3(z0)))))), 3'(0(3(0(3(z0))))), 0'(3(0(3(z0)))), 3'(0(3(z0))), 0'(3(z0)), 3'(z0))
   0'(c_3(c_1(c_2(c_3(c_1(c_0(c_3(c_3(c_3(c_1(c_3(c_0(c_3(c_2(c_2(c_1(c_2(z0)))))))))))))))))) -> c11(1'(0(3(1(0(3(3(3(3(2(3(2(3(2(0(2(1(1(z0)))))))))))))))))), 0'(3(1(0(3(3(3(3(2(3(2(3(2(0(2(1(1(z0))))))))))))))))), 3'(1(0(3(3(3(3(2(3(2(3(2(0(2(1(1(z0)))))))))))))))), 1'(0(3(3(3(3(2(3(2(3(2(0(2(1(1(z0))))))))))))))), 0'(3(3(3(3(2(3(2(3(2(0(2(1(1(z0)))))))))))))), 3'(3(3(3(2(3(2(3(2(0(2(1(1(z0))))))))))))), 3'(3(3(2(3(2(3(2(0(2(1(1(z0)))))))))))), 3'(3(2(3(2(3(2(0(2(1(1(z0))))))))))), 3'(2(3(2(3(2(0(2(1(1(z0)))))))))), 2'(3(2(3(2(0(2(1(1(z0))))))))), 3'(2(3(2(0(2(1(1(z0)))))))), 2'(3(2(0(2(1(1(z0))))))), 3'(2(0(2(1(1(z0)))))), 2'(0(2(1(1(z0))))), 0'(2(1(1(z0)))), 2'(1(1(z0))), 1'(1(z0)), 1'(z0))
   0'(c_0(c_3(c_0(c_3(c_1(c_2(c_0(c_3(c_0(c_3(c_1(c_0(c_0(c_1(c_0(c_1(c_3(z0)))))))))))))))))) -> c12(0'(3(0(0(3(3(0(1(0(3(0(1(0(0(2(1(1(3(z0)))))))))))))))))), 3'(0(0(3(3(0(1(0(3(0(1(0(0(2(1(1(3(z0))))))))))))))))), 0'(0(3(3(0(1(0(3(0(1(0(0(2(1(1(3(z0)))))))))))))))), 0'(3(3(0(1(0(3(0(1(0(0(2(1(1(3(z0))))))))))))))), 3'(3(0(1(0(3(0(1(0(0(2(1(1(3(z0)))))))))))))), 3'(0(1(0(3(0(1(0(0(2(1(1(3(z0))))))))))))), 0'(1(0(3(0(1(0(0(2(1(1(3(z0)))))))))))), 1'(0(3(0(1(0(0(2(1(1(3(z0))))))))))), 0'(3(0(1(0(0(2(1(1(3(z0)))))))))), 3'(0(1(0(0(2(1(1(3(z0))))))))), 0'(1(0(0(2(1(1(3(z0)))))))), 1'(0(0(2(1(1(3(z0))))))), 0'(0(2(1(1(3(z0)))))), 0'(2(1(1(3(z0))))), 2'(1(1(3(z0)))), 1'(1(3(z0))), 1'(3(z0)), 3'(z0))
   0'(c_2(c_3(c_3(c_1(c_0(c_3(c_0(c_0(c_0(c_2(c_0(c_1(c_3(c_1(c_3(c_3(c_0(z0)))))))))))))))))) -> c13(0'(3(0(3(3(2(3(2(3(0(0(0(0(1(1(1(3(0(z0)))))))))))))))))), 3'(0(3(3(2(3(2(3(0(0(0(0(1(1(1(3(0(z0))))))))))))))))), 0'(3(3(2(3(2(3(0(0(0(0(1(1(1(3(0(z0)))))))))))))))), 3'(3(2(3(2(3(0(0(0(0(1(1(1(3(0(z0))))))))))))))), 3'(2(3(2(3(0(0(0(0(1(1(1(3(0(z0)))))))))))))), 2'(3(2(3(0(0(0(0(1(1(1(3(0(z0))))))))))))), 3'(2(3(0(0(0(0(1(1(1(3(0(z0)))))))))))), 2'(3(0(0(0(0(1(1(1(3(0(z0))))))))))), 3'(0(0(0(0(1(1(1(3(0(z0)))))))))), 0'(0(0(0(1(1(1(3(0(z0))))))))), 0'(0(0(1(1(1(3(0(z0)))))))), 0'(0(1(1(1(3(0(z0))))))), 0'(1(1(1(3(0(z0)))))), 1'(1(1(3(0(z0))))), 1'(1(3(0(z0)))), 1'(3(0(z0))), 3'(0(z0)), 0'(z0))
   0'(c_0(c_1(c_3(c_1(c_0(c_3(c_1(c_1(c_3(c_1(c_2(c_3(c_1(c_2(c_2(c_1(c_1(z0)))))))))))))))))) -> c14(0'(3(0(2(1(0(3(2(1(1(2(1(3(1(3(1(1(1(z0)))))))))))))))))), 3'(0(2(1(0(3(2(1(1(2(1(3(1(3(1(1(1(z0))))))))))))))))), 0'(2(1(0(3(2(1(1(2(1(3(1(3(1(1(1(z0)))))))))))))))), 2'(1(0(3(2(1(1(2(1(3(1(3(1(1(1(z0))))))))))))))), 1'(0(3(2(1(1(2(1(3(1(3(1(1(1(z0)))))))))))))), 0'(3(2(1(1(2(1(3(1(3(1(1(1(z0))))))))))))), 3'(2(1(1(2(1(3(1(3(1(1(1(z0)))))))))))), 2'(1(1(2(1(3(1(3(1(1(1(z0))))))))))), 1'(1(2(1(3(1(3(1(1(1(z0)))))))))), 1'(2(1(3(1(3(1(1(1(z0))))))))), 2'(1(3(1(3(1(1(1(z0)))))))), 1'(3(1(3(1(1(1(z0))))))), 3'(1(3(1(1(1(z0)))))), 1'(3(1(1(1(z0))))), 3'(1(1(1(z0)))), 1'(1(1(z0))), 1'(1(z0)), 1'(z0))
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   3'(c_1(c_2(c_0(c_1(c_2(c_0(c_3(c_1(c_2(c_1(c_0(c_0(c_2(c_0(c_3(c_0(c_2(z0)))))))))))))))))) -> c83(3'(1(0(2(2(1(3(0(0(2(0(3(2(1(1(0(2(0(z0)))))))))))))))))), 1'(0(2(2(1(3(0(0(2(0(3(2(1(1(0(2(0(z0))))))))))))))))), 0'(2(2(1(3(0(0(2(0(3(2(1(1(0(2(0(z0)))))))))))))))), 2'(2(1(3(0(0(2(0(3(2(1(1(0(2(0(z0))))))))))))))), 2'(1(3(0(0(2(0(3(2(1(1(0(2(0(z0)))))))))))))), 1'(3(0(0(2(0(3(2(1(1(0(2(0(z0))))))))))))), 3'(0(0(2(0(3(2(1(1(0(2(0(z0)))))))))))), 0'(0(2(0(3(2(1(1(0(2(0(z0))))))))))), 0'(2(0(3(2(1(1(0(2(0(z0)))))))))), 2'(0(3(2(1(1(0(2(0(z0))))))))), 0'(3(2(1(1(0(2(0(z0)))))))), 3'(2(1(1(0(2(0(z0))))))), 2'(1(1(0(2(0(z0)))))), 1'(1(0(2(0(z0))))), 1'(0(2(0(z0)))), 0'(2(0(z0))), 2'(0(z0)), 0'(z0))
   3'(c_1(c_3(c_1(c_1(c_3(c_0(c_2(c_0(c_0(c_3(c_0(c_2(c_3(c_1(c_2(c_2(c_2(z0)))))))))))))))))) -> c84(3'(1(3(1(0(3(3(2(1(2(1(2(0(2(3(2(0(0(z0)))))))))))))))))), 1'(3(1(0(3(3(2(1(2(1(2(0(2(3(2(0(0(z0))))))))))))))))), 3'(1(0(3(3(2(1(2(1(2(0(2(3(2(0(0(z0)))))))))))))))), 1'(0(3(3(2(1(2(1(2(0(2(3(2(0(0(z0))))))))))))))), 0'(3(3(2(1(2(1(2(0(2(3(2(0(0(z0)))))))))))))), 3'(3(2(1(2(1(2(0(2(3(2(0(0(z0))))))))))))), 3'(2(1(2(1(2(0(2(3(2(0(0(z0)))))))))))), 2'(1(2(1(2(0(2(3(2(0(0(z0))))))))))), 1'(2(1(2(0(2(3(2(0(0(z0)))))))))), 2'(1(2(0(2(3(2(0(0(z0))))))))), 1'(2(0(2(3(2(0(0(z0)))))))), 2'(0(2(3(2(0(0(z0))))))), 0'(2(3(2(0(0(z0)))))), 2'(3(2(0(0(z0))))), 3'(2(0(0(z0)))), 2'(0(0(z0))), 0'(0(z0)), 0'(z0))
   3'(c_0(c_1(c_2(c_2(c_3(c_0(c_1(c_2(c_1(c_3(c_1(c_3(c_3(c_3(c_1(c_1(c_3(z0)))))))))))))))))) -> c85(0'(2(1(3(3(3(2(1(1(0(1(3(3(2(1(1(3(3(z0)))))))))))))))))), 2'(1(3(3(3(2(1(1(0(1(3(3(2(1(1(3(3(z0))))))))))))))))), 1'(3(3(3(2(1(1(0(1(3(3(2(1(1(3(3(z0)))))))))))))))), 3'(3(3(2(1(1(0(1(3(3(2(1(1(3(3(z0))))))))))))))), 3'(3(2(1(1(0(1(3(3(2(1(1(3(3(z0)))))))))))))), 3'(2(1(1(0(1(3(3(2(1(1(3(3(z0))))))))))))), 2'(1(1(0(1(3(3(2(1(1(3(3(z0)))))))))))), 1'(1(0(1(3(3(2(1(1(3(3(z0))))))))))), 1'(0(1(3(3(2(1(1(3(3(z0)))))))))), 0'(1(3(3(2(1(1(3(3(z0))))))))), 1'(3(3(2(1(1(3(3(z0)))))))), 3'(3(2(1(1(3(3(z0))))))), 3'(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_2(c_0(c_3(c_1(c_1(c_3(c_2(c_1(c_3(c_0(c_2(c_0(c_2(c_1(c_1(c_3(z0)))))))))))))))))) -> c86(1'(3(3(2(0(0(0(1(3(3(2(0(1(1(2(1(2(3(z0)))))))))))))))))), 3'(3(2(0(0(0(1(3(3(2(0(1(1(2(1(2(3(z0))))))))))))))))), 3'(2(0(0(0(1(3(3(2(0(1(1(2(1(2(3(z0)))))))))))))))), 2'(0(0(0(1(3(3(2(0(1(1(2(1(2(3(z0))))))))))))))), 0'(0(0(1(3(3(2(0(1(1(2(1(2(3(z0)))))))))))))), 0'(0(1(3(3(2(0(1(1(2(1(2(3(z0))))))))))))), 0'(1(3(3(2(0(1(1(2(1(2(3(z0)))))))))))), 1'(3(3(2(0(1(1(2(1(2(3(z0))))))))))), 3'(3(2(0(1(1(2(1(2(3(z0)))))))))), 3'(2(0(1(1(2(1(2(3(z0))))))))), 2'(0(1(1(2(1(2(3(z0)))))))), 0'(1(1(2(1(2(3(z0))))))), 1'(1(2(1(2(3(z0)))))), 1'(2(1(2(3(z0))))), 2'(1(2(3(z0)))), 1'(2(3(z0))), 2'(3(z0)), 3'(z0))
   3'(c_3(c_0(c_3(c_0(c_0(c_2(c_3(c_0(c_2(c_3(c_3(c_1(c_2(c_2(c_2(c_2(c_0(z0)))))))))))))))))) -> c87(3'(3(0(0(3(2(3(2(0(0(0(2(3(2(1(2(3(2(z0)))))))))))))))))), 3'(0(0(3(2(3(2(0(0(0(2(3(2(1(2(3(2(z0))))))))))))))))), 0'(0(3(2(3(2(0(0(0(2(3(2(1(2(3(2(z0)))))))))))))))), 0'(3(2(3(2(0(0(0(2(3(2(1(2(3(2(z0))))))))))))))), 3'(2(3(2(0(0(0(2(3(2(1(2(3(2(z0)))))))))))))), 2'(3(2(0(0(0(2(3(2(1(2(3(2(z0))))))))))))), 3'(2(0(0(0(2(3(2(1(2(3(2(z0)))))))))))), 2'(0(0(0(2(3(2(1(2(3(2(z0))))))))))), 0'(0(0(2(3(2(1(2(3(2(z0)))))))))), 0'(0(2(3(2(1(2(3(2(z0))))))))), 0'(2(3(2(1(2(3(2(z0)))))))), 2'(3(2(1(2(3(2(z0))))))), 3'(2(1(2(3(2(z0)))))), 2'(1(2(3(2(z0))))), 1'(2(3(2(z0)))), 2'(3(2(z0))), 3'(2(z0)), 2'(z0))
   3'(c_3(c_3(c_3(c_3(c_0(c_3(c_1(c_1(c_3(c_2(c_1(c_1(c_3(c_2(c_2(c_0(c_2(z0)))))))))))))))))) -> c88(3'(3(1(0(1(2(3(2(0(1(1(3(3(3(3(2(3(2(z0)))))))))))))))))), 3'(1(0(1(2(3(2(0(1(1(3(3(3(3(2(3(2(z0))))))))))))))))), 1'(0(1(2(3(2(0(1(1(3(3(3(3(2(3(2(z0)))))))))))))))), 0'(1(2(3(2(0(1(1(3(3(3(3(2(3(2(z0))))))))))))))), 1'(2(3(2(0(1(1(3(3(3(3(2(3(2(z0)))))))))))))), 2'(3(2(0(1(1(3(3(3(3(2(3(2(z0))))))))))))), 3'(2(0(1(1(3(3(3(3(2(3(2(z0)))))))))))), 2'(0(1(1(3(3(3(3(2(3(2(z0))))))))))), 0'(1(1(3(3(3(3(2(3(2(z0)))))))))), 1'(1(3(3(3(3(2(3(2(z0))))))))), 1'(3(3(3(3(2(3(2(z0)))))))), 3'(3(3(3(2(3(2(z0))))))), 3'(3(3(2(3(2(z0)))))), 3'(3(2(3(2(z0))))), 3'(2(3(2(z0)))), 2'(3(2(z0))), 3'(2(z0)), 2'(z0))
   3'(c_2(c_2(c_3(c_0(c_0(c_3(c_0(c_0(c_2(c_3(c_0(c_1(c_1(c_1(c_1(c_3(c_0(z0)))))))))))))))))) -> c89(3'(2(0(3(2(3(0(1(0(1(1(0(3(1(3(0(2(0(z0)))))))))))))))))), 2'(0(3(2(3(0(1(0(1(1(0(3(1(3(0(2(0(z0))))))))))))))))), 0'(3(2(3(0(1(0(1(1(0(3(1(3(0(2(0(z0)))))))))))))))), 3'(2(3(0(1(0(1(1(0(3(1(3(0(2(0(z0))))))))))))))), 2'(3(0(1(0(1(1(0(3(1(3(0(2(0(z0)))))))))))))), 3'(0(1(0(1(1(0(3(1(3(0(2(0(z0))))))))))))), 0'(1(0(1(1(0(3(1(3(0(2(0(z0)))))))))))), 1'(0(1(1(0(3(1(3(0(2(0(z0))))))))))), 0'(1(1(0(3(1(3(0(2(0(z0)))))))))), 1'(1(0(3(1(3(0(2(0(z0))))))))), 1'(0(3(1(3(0(2(0(z0)))))))), 0'(3(1(3(0(2(0(z0))))))), 3'(1(3(0(2(0(z0)))))), 1'(3(0(2(0(z0))))), 3'(0(2(0(z0)))), 0'(2(0(z0))), 2'(0(z0)), 0'(z0))
   3'(c_1(c_3(c_1(c_1(c_3(c_3(c_3(c_2(c_1(c_2(c_3(c_0(c_2(c_1(c_2(c_3(c_0(z0)))))))))))))))))) -> c90(3'(3(3(2(0(1(3(2(0(1(3(3(1(2(1(1(2(3(z0)))))))))))))))))), 3'(3(2(0(1(3(2(0(1(3(3(1(2(1(1(2(3(z0))))))))))))))))), 3'(2(0(1(3(2(0(1(3(3(1(2(1(1(2(3(z0)))))))))))))))), 2'(0(1(3(2(0(1(3(3(1(2(1(1(2(3(z0))))))))))))))), 0'(1(3(2(0(1(3(3(1(2(1(1(2(3(z0)))))))))))))), 1'(3(2(0(1(3(3(1(2(1(1(2(3(z0))))))))))))), 3'(2(0(1(3(3(1(2(1(1(2(3(z0)))))))))))), 2'(0(1(3(3(1(2(1(1(2(3(z0))))))))))), 0'(1(3(3(1(2(1(1(2(3(z0)))))))))), 1'(3(3(1(2(1(1(2(3(z0))))))))), 3'(3(1(2(1(1(2(3(z0)))))))), 3'(1(2(1(1(2(3(z0))))))), 1'(2(1(1(2(3(z0)))))), 2'(1(1(2(3(z0))))), 1'(1(2(3(z0)))), 1'(2(3(z0))), 2'(3(z0)), 3'(z0))
   3'(c_0(c_2(c_2(c_0(c_0(c_1(c_2(c_3(c_0(c_0(c_1(c_1(c_2(c_0(c_1(c_2(c_2(z0)))))))))))))))))) -> c91(2'(3(0(2(3(1(1(0(2(0(2(1(1(0(0(2(0(2(z0)))))))))))))))))), 3'(0(2(3(1(1(0(2(0(2(1(1(0(0(2(0(2(z0))))))))))))))))), 0'(2(3(1(1(0(2(0(2(1(1(0(0(2(0(2(z0)))))))))))))))), 2'(3(1(1(0(2(0(2(1(1(0(0(2(0(2(z0))))))))))))))), 3'(1(1(0(2(0(2(1(1(0(0(2(0(2(z0)))))))))))))), 1'(1(0(2(0(2(1(1(0(0(2(0(2(z0))))))))))))), 1'(0(2(0(2(1(1(0(0(2(0(2(z0)))))))))))), 0'(2(0(2(1(1(0(0(2(0(2(z0))))))))))), 2'(0(2(1(1(0(0(2(0(2(z0)))))))))), 0'(2(1(1(0(0(2(0(2(z0))))))))), 2'(1(1(0(0(2(0(2(z0)))))))), 1'(1(0(0(2(0(2(z0))))))), 1'(0(0(2(0(2(z0)))))), 0'(0(2(0(2(z0))))), 0'(2(0(2(z0)))), 2'(0(2(z0))), 0'(2(z0)), 2'(z0))
S tuples:
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   3'(c_0(c_2(c_0(c_3(c_3(c_0(c_0(c_2(c_2(c_0(c_1(c_0(c_3(c_3(c_1(c_3(c_1(z0)))))))))))))))))) -> c79(3'(0(2(1(0(1(3(3(2(0(0(3(0(3(2(3(1(0(z0)))))))))))))))))), 0'(2(1(0(1(3(3(2(0(0(3(0(3(2(3(1(0(z0))))))))))))))))), 2'(1(0(1(3(3(2(0(0(3(0(3(2(3(1(0(z0)))))))))))))))), 1'(0(1(3(3(2(0(0(3(0(3(2(3(1(0(z0))))))))))))))), 0'(1(3(3(2(0(0(3(0(3(2(3(1(0(z0)))))))))))))), 1'(3(3(2(0(0(3(0(3(2(3(1(0(z0))))))))))))), 3'(3(2(0(0(3(0(3(2(3(1(0(z0)))))))))))), 3'(2(0(0(3(0(3(2(3(1(0(z0))))))))))), 2'(0(0(3(0(3(2(3(1(0(z0)))))))))), 0'(0(3(0(3(2(3(1(0(z0))))))))), 0'(3(0(3(2(3(1(0(z0)))))))), 3'(0(3(2(3(1(0(z0))))))), 0'(3(2(3(1(0(z0)))))), 3'(2(3(1(0(z0))))), 2'(3(1(0(z0)))), 3'(1(0(z0))), 1'(0(z0)), 0'(z0))
   3'(c_3(c_0(c_2(c_1(c_2(c_2(c_0(c_0(c_1(c_3(c_2(c_0(c_0(c_1(c_2(c_3(c_0(z0)))))))))))))))))) -> c80(0'(0(1(1(0(2(2(3(3(2(1(0(0(2(3(3(2(0(z0)))))))))))))))))), 0'(1(1(0(2(2(3(3(2(1(0(0(2(3(3(2(0(z0))))))))))))))))), 1'(1(0(2(2(3(3(2(1(0(0(2(3(3(2(0(z0)))))))))))))))), 1'(0(2(2(3(3(2(1(0(0(2(3(3(2(0(z0))))))))))))))), 0'(2(2(3(3(2(1(0(0(2(3(3(2(0(z0)))))))))))))), 2'(2(3(3(2(1(0(0(2(3(3(2(0(z0))))))))))))), 2'(3(3(2(1(0(0(2(3(3(2(0(z0)))))))))))), 3'(3(2(1(0(0(2(3(3(2(0(z0))))))))))), 3'(2(1(0(0(2(3(3(2(0(z0)))))))))), 2'(1(0(0(2(3(3(2(0(z0))))))))), 1'(0(0(2(3(3(2(0(z0)))))))), 0'(0(2(3(3(2(0(z0))))))), 0'(2(3(3(2(0(z0)))))), 2'(3(3(2(0(z0))))), 3'(3(2(0(z0)))), 3'(2(0(z0))), 2'(0(z0)), 0'(z0))
   3'(c_3(c_0(c_2(c_0(c_2(c_0(c_3(c_3(c_3(c_1(c_0(c_2(c_2(c_2(c_3(c_3(c_0(z0)))))))))))))))))) -> c81(3'(2(2(1(0(3(2(0(0(2(3(3(2(3(3(0(0(3(z0)))))))))))))))))), 2'(2(1(0(3(2(0(0(2(3(3(2(3(3(0(0(3(z0))))))))))))))))), 2'(1(0(3(2(0(0(2(3(3(2(3(3(0(0(3(z0)))))))))))))))), 1'(0(3(2(0(0(2(3(3(2(3(3(0(0(3(z0))))))))))))))), 0'(3(2(0(0(2(3(3(2(3(3(0(0(3(z0)))))))))))))), 3'(2(0(0(2(3(3(2(3(3(0(0(3(z0))))))))))))), 2'(0(0(2(3(3(2(3(3(0(0(3(z0)))))))))))), 0'(0(2(3(3(2(3(3(0(0(3(z0))))))))))), 0'(2(3(3(2(3(3(0(0(3(z0)))))))))), 2'(3(3(2(3(3(0(0(3(z0))))))))), 3'(3(2(3(3(0(0(3(z0)))))))), 3'(2(3(3(0(0(3(z0))))))), 2'(3(3(0(0(3(z0)))))), 3'(3(0(0(3(z0))))), 3'(0(0(3(z0)))), 0'(0(3(z0))), 0'(3(z0)), 3'(z0))
   3'(c_0(c_1(c_0(c_3(c_1(c_2(c_2(c_0(c_1(c_1(c_1(c_3(c_3(c_0(c_2(c_3(c_0(z0)))))))))))))))))) -> c82(0'(3(3(2(1(0(0(2(3(3(1(1(0(1(1(3(2(0(z0)))))))))))))))))), 3'(3(2(1(0(0(2(3(3(1(1(0(1(1(3(2(0(z0))))))))))))))))), 3'(2(1(0(0(2(3(3(1(1(0(1(1(3(2(0(z0)))))))))))))))), 2'(1(0(0(2(3(3(1(1(0(1(1(3(2(0(z0))))))))))))))), 1'(0(0(2(3(3(1(1(0(1(1(3(2(0(z0)))))))))))))), 0'(0(2(3(3(1(1(0(1(1(3(2(0(z0))))))))))))), 0'(2(3(3(1(1(0(1(1(3(2(0(z0)))))))))))), 2'(3(3(1(1(0(1(1(3(2(0(z0))))))))))), 3'(3(1(1(0(1(1(3(2(0(z0)))))))))), 3'(1(1(0(1(1(3(2(0(z0))))))))), 1'(1(0(1(1(3(2(0(z0)))))))), 1'(0(1(1(3(2(0(z0))))))), 0'(1(1(3(2(0(z0)))))), 1'(1(3(2(0(z0))))), 1'(3(2(0(z0)))), 3'(2(0(z0))), 2'(0(z0)), 0'(z0))
   3'(c_1(c_2(c_0(c_1(c_2(c_0(c_3(c_1(c_2(c_1(c_0(c_0(c_2(c_0(c_3(c_0(c_2(z0)))))))))))))))))) -> c83(3'(1(0(2(2(1(3(0(0(2(0(3(2(1(1(0(2(0(z0)))))))))))))))))), 1'(0(2(2(1(3(0(0(2(0(3(2(1(1(0(2(0(z0))))))))))))))))), 0'(2(2(1(3(0(0(2(0(3(2(1(1(0(2(0(z0)))))))))))))))), 2'(2(1(3(0(0(2(0(3(2(1(1(0(2(0(z0))))))))))))))), 2'(1(3(0(0(2(0(3(2(1(1(0(2(0(z0)))))))))))))), 1'(3(0(0(2(0(3(2(1(1(0(2(0(z0))))))))))))), 3'(0(0(2(0(3(2(1(1(0(2(0(z0)))))))))))), 0'(0(2(0(3(2(1(1(0(2(0(z0))))))))))), 0'(2(0(3(2(1(1(0(2(0(z0)))))))))), 2'(0(3(2(1(1(0(2(0(z0))))))))), 0'(3(2(1(1(0(2(0(z0)))))))), 3'(2(1(1(0(2(0(z0))))))), 2'(1(1(0(2(0(z0)))))), 1'(1(0(2(0(z0))))), 1'(0(2(0(z0)))), 0'(2(0(z0))), 2'(0(z0)), 0'(z0))
   3'(c_1(c_3(c_1(c_1(c_3(c_0(c_2(c_0(c_0(c_3(c_0(c_2(c_3(c_1(c_2(c_2(c_2(z0)))))))))))))))))) -> c84(3'(1(3(1(0(3(3(2(1(2(1(2(0(2(3(2(0(0(z0)))))))))))))))))), 1'(3(1(0(3(3(2(1(2(1(2(0(2(3(2(0(0(z0))))))))))))))))), 3'(1(0(3(3(2(1(2(1(2(0(2(3(2(0(0(z0)))))))))))))))), 1'(0(3(3(2(1(2(1(2(0(2(3(2(0(0(z0))))))))))))))), 0'(3(3(2(1(2(1(2(0(2(3(2(0(0(z0)))))))))))))), 3'(3(2(1(2(1(2(0(2(3(2(0(0(z0))))))))))))), 3'(2(1(2(1(2(0(2(3(2(0(0(z0)))))))))))), 2'(1(2(1(2(0(2(3(2(0(0(z0))))))))))), 1'(2(1(2(0(2(3(2(0(0(z0)))))))))), 2'(1(2(0(2(3(2(0(0(z0))))))))), 1'(2(0(2(3(2(0(0(z0)))))))), 2'(0(2(3(2(0(0(z0))))))), 0'(2(3(2(0(0(z0)))))), 2'(3(2(0(0(z0))))), 3'(2(0(0(z0)))), 2'(0(0(z0))), 0'(0(z0)), 0'(z0))
   3'(c_0(c_1(c_2(c_2(c_3(c_0(c_1(c_2(c_1(c_3(c_1(c_3(c_3(c_3(c_1(c_1(c_3(z0)))))))))))))))))) -> c85(0'(2(1(3(3(3(2(1(1(0(1(3(3(2(1(1(3(3(z0)))))))))))))))))), 2'(1(3(3(3(2(1(1(0(1(3(3(2(1(1(3(3(z0))))))))))))))))), 1'(3(3(3(2(1(1(0(1(3(3(2(1(1(3(3(z0)))))))))))))))), 3'(3(3(2(1(1(0(1(3(3(2(1(1(3(3(z0))))))))))))))), 3'(3(2(1(1(0(1(3(3(2(1(1(3(3(z0)))))))))))))), 3'(2(1(1(0(1(3(3(2(1(1(3(3(z0))))))))))))), 2'(1(1(0(1(3(3(2(1(1(3(3(z0)))))))))))), 1'(1(0(1(3(3(2(1(1(3(3(z0))))))))))), 1'(0(1(3(3(2(1(1(3(3(z0)))))))))), 0'(1(3(3(2(1(1(3(3(z0))))))))), 1'(3(3(2(1(1(3(3(z0)))))))), 3'(3(2(1(1(3(3(z0))))))), 3'(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_2(c_0(c_3(c_1(c_1(c_3(c_2(c_1(c_3(c_0(c_2(c_0(c_2(c_1(c_1(c_3(z0)))))))))))))))))) -> c86(1'(3(3(2(0(0(0(1(3(3(2(0(1(1(2(1(2(3(z0)))))))))))))))))), 3'(3(2(0(0(0(1(3(3(2(0(1(1(2(1(2(3(z0))))))))))))))))), 3'(2(0(0(0(1(3(3(2(0(1(1(2(1(2(3(z0)))))))))))))))), 2'(0(0(0(1(3(3(2(0(1(1(2(1(2(3(z0))))))))))))))), 0'(0(0(1(3(3(2(0(1(1(2(1(2(3(z0)))))))))))))), 0'(0(1(3(3(2(0(1(1(2(1(2(3(z0))))))))))))), 0'(1(3(3(2(0(1(1(2(1(2(3(z0)))))))))))), 1'(3(3(2(0(1(1(2(1(2(3(z0))))))))))), 3'(3(2(0(1(1(2(1(2(3(z0)))))))))), 3'(2(0(1(1(2(1(2(3(z0))))))))), 2'(0(1(1(2(1(2(3(z0)))))))), 0'(1(1(2(1(2(3(z0))))))), 1'(1(2(1(2(3(z0)))))), 1'(2(1(2(3(z0))))), 2'(1(2(3(z0)))), 1'(2(3(z0))), 2'(3(z0)), 3'(z0))
   3'(c_3(c_0(c_3(c_0(c_0(c_2(c_3(c_0(c_2(c_3(c_3(c_1(c_2(c_2(c_2(c_2(c_0(z0)))))))))))))))))) -> c87(3'(3(0(0(3(2(3(2(0(0(0(2(3(2(1(2(3(2(z0)))))))))))))))))), 3'(0(0(3(2(3(2(0(0(0(2(3(2(1(2(3(2(z0))))))))))))))))), 0'(0(3(2(3(2(0(0(0(2(3(2(1(2(3(2(z0)))))))))))))))), 0'(3(2(3(2(0(0(0(2(3(2(1(2(3(2(z0))))))))))))))), 3'(2(3(2(0(0(0(2(3(2(1(2(3(2(z0)))))))))))))), 2'(3(2(0(0(0(2(3(2(1(2(3(2(z0))))))))))))), 3'(2(0(0(0(2(3(2(1(2(3(2(z0)))))))))))), 2'(0(0(0(2(3(2(1(2(3(2(z0))))))))))), 0'(0(0(2(3(2(1(2(3(2(z0)))))))))), 0'(0(2(3(2(1(2(3(2(z0))))))))), 0'(2(3(2(1(2(3(2(z0)))))))), 2'(3(2(1(2(3(2(z0))))))), 3'(2(1(2(3(2(z0)))))), 2'(1(2(3(2(z0))))), 1'(2(3(2(z0)))), 2'(3(2(z0))), 3'(2(z0)), 2'(z0))
   3'(c_3(c_3(c_3(c_3(c_0(c_3(c_1(c_1(c_3(c_2(c_1(c_1(c_3(c_2(c_2(c_0(c_2(z0)))))))))))))))))) -> c88(3'(3(1(0(1(2(3(2(0(1(1(3(3(3(3(2(3(2(z0)))))))))))))))))), 3'(1(0(1(2(3(2(0(1(1(3(3(3(3(2(3(2(z0))))))))))))))))), 1'(0(1(2(3(2(0(1(1(3(3(3(3(2(3(2(z0)))))))))))))))), 0'(1(2(3(2(0(1(1(3(3(3(3(2(3(2(z0))))))))))))))), 1'(2(3(2(0(1(1(3(3(3(3(2(3(2(z0)))))))))))))), 2'(3(2(0(1(1(3(3(3(3(2(3(2(z0))))))))))))), 3'(2(0(1(1(3(3(3(3(2(3(2(z0)))))))))))), 2'(0(1(1(3(3(3(3(2(3(2(z0))))))))))), 0'(1(1(3(3(3(3(2(3(2(z0)))))))))), 1'(1(3(3(3(3(2(3(2(z0))))))))), 1'(3(3(3(3(2(3(2(z0)))))))), 3'(3(3(3(2(3(2(z0))))))), 3'(3(3(2(3(2(z0)))))), 3'(3(2(3(2(z0))))), 3'(2(3(2(z0)))), 2'(3(2(z0))), 3'(2(z0)), 2'(z0))
   3'(c_2(c_2(c_3(c_0(c_0(c_3(c_0(c_0(c_2(c_3(c_0(c_1(c_1(c_1(c_1(c_3(c_0(z0)))))))))))))))))) -> c89(3'(2(0(3(2(3(0(1(0(1(1(0(3(1(3(0(2(0(z0)))))))))))))))))), 2'(0(3(2(3(0(1(0(1(1(0(3(1(3(0(2(0(z0))))))))))))))))), 0'(3(2(3(0(1(0(1(1(0(3(1(3(0(2(0(z0)))))))))))))))), 3'(2(3(0(1(0(1(1(0(3(1(3(0(2(0(z0))))))))))))))), 2'(3(0(1(0(1(1(0(3(1(3(0(2(0(z0)))))))))))))), 3'(0(1(0(1(1(0(3(1(3(0(2(0(z0))))))))))))), 0'(1(0(1(1(0(3(1(3(0(2(0(z0)))))))))))), 1'(0(1(1(0(3(1(3(0(2(0(z0))))))))))), 0'(1(1(0(3(1(3(0(2(0(z0)))))))))), 1'(1(0(3(1(3(0(2(0(z0))))))))), 1'(0(3(1(3(0(2(0(z0)))))))), 0'(3(1(3(0(2(0(z0))))))), 3'(1(3(0(2(0(z0)))))), 1'(3(0(2(0(z0))))), 3'(0(2(0(z0)))), 0'(2(0(z0))), 2'(0(z0)), 0'(z0))
   3'(c_1(c_3(c_1(c_1(c_3(c_3(c_3(c_2(c_1(c_2(c_3(c_0(c_2(c_1(c_2(c_3(c_0(z0)))))))))))))))))) -> c90(3'(3(3(2(0(1(3(2(0(1(3(3(1(2(1(1(2(3(z0)))))))))))))))))), 3'(3(2(0(1(3(2(0(1(3(3(1(2(1(1(2(3(z0))))))))))))))))), 3'(2(0(1(3(2(0(1(3(3(1(2(1(1(2(3(z0)))))))))))))))), 2'(0(1(3(2(0(1(3(3(1(2(1(1(2(3(z0))))))))))))))), 0'(1(3(2(0(1(3(3(1(2(1(1(2(3(z0)))))))))))))), 1'(3(2(0(1(3(3(1(2(1(1(2(3(z0))))))))))))), 3'(2(0(1(3(3(1(2(1(1(2(3(z0)))))))))))), 2'(0(1(3(3(1(2(1(1(2(3(z0))))))))))), 0'(1(3(3(1(2(1(1(2(3(z0)))))))))), 1'(3(3(1(2(1(1(2(3(z0))))))))), 3'(3(1(2(1(1(2(3(z0)))))))), 3'(1(2(1(1(2(3(z0))))))), 1'(2(1(1(2(3(z0)))))), 2'(1(1(2(3(z0))))), 1'(1(2(3(z0)))), 1'(2(3(z0))), 2'(3(z0)), 3'(z0))
   3'(c_0(c_2(c_2(c_0(c_0(c_1(c_2(c_3(c_0(c_0(c_1(c_1(c_2(c_0(c_1(c_2(c_2(z0)))))))))))))))))) -> c91(2'(3(0(2(3(1(1(0(2(0(2(1(1(0(0(2(0(2(z0)))))))))))))))))), 3'(0(2(3(1(1(0(2(0(2(1(1(0(0(2(0(2(z0))))))))))))))))), 0'(2(3(1(1(0(2(0(2(1(1(0(0(2(0(2(z0)))))))))))))))), 2'(3(1(1(0(2(0(2(1(1(0(0(2(0(2(z0))))))))))))))), 3'(1(1(0(2(0(2(1(1(0(0(2(0(2(z0)))))))))))))), 1'(1(0(2(0(2(1(1(0(0(2(0(2(z0))))))))))))), 1'(0(2(0(2(1(1(0(0(2(0(2(z0)))))))))))), 0'(2(0(2(1(1(0(0(2(0(2(z0))))))))))), 2'(0(2(1(1(0(0(2(0(2(z0)))))))))), 0'(2(1(1(0(0(2(0(2(z0))))))))), 2'(1(1(0(0(2(0(2(z0)))))))), 1'(1(0(0(2(0(2(z0))))))), 1'(0(0(2(0(2(z0)))))), 0'(0(2(0(2(z0))))), 0'(2(0(2(z0)))), 2'(0(2(z0))), 0'(2(z0)), 2'(z0))
K tuples:none
Defined Rule Symbols:   0_1, 2_1, 3_1, 1_1, encArg_1, encode_0_1, encode_3_1, encode_1_1, encode_2_1

Defined Pair Symbols:   ENCARG_1, ENCODE_0_1, ENCODE_3_1, ENCODE_1_1, ENCODE_2_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_18, c10_18, c11_18, c12_18, c13_18, c14_18, c15_18, c16_18, c17_18, c18_18, c19_18, c20_18, c21_18, c22_18, c23_18, c24_18, c25_18, c26_18, c27_18, c28_18, c29_18, c30_18, c31_18, c33_18, c34_18, c35_18, c36_18, c37_18, c38_18, c39_18, c40_18, c41_18, c42_18, c43_18, c44_18, c45_18, c46_18, c47_18, c48_18, c49_18, c50_18, c51_18, c52_18, c53_18, c55_18, c56_18, c57_18, c58_18, c59_18, c60_18, c61_18, c62_18, c63_18, c64_18, c65_18, c66_18, c67_18, c68_18, c69_18, c70_18, c71_18, c72_18, c73_18, c75_18, c76_18, c77_18, c78_18, c79_18, c80_18, c81_18, c82_18, c83_18, c84_18, c85_18, c86_18, c87_18, c88_18, c89_18, c90_18, c91_18


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

(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_3(z0) -> 3(encArg(z0))
   encode_1(z0) -> 1(encArg(z0))
   encode_2(z0) -> 2(encArg(z0))
   0(z0) -> c_0(z0)
   0(c_0(c_0(c_1(c_0(c_0(c_0(c_2(c_1(c_1(c_2(c_0(c_1(c_0(c_1(c_2(c_0(c_0(z0)))))))))))))))))) -> 0(1(0(1(1(0(0(2(1(1(0(0(2(0(2(0(0(0(z0))))))))))))))))))
   0(c_0(c_1(c_3(c_2(c_1(c_0(c_0(c_3(c_2(c_3(c_1(c_3(c_0(c_0(c_2(c_0(c_0(z0)))))))))))))))))) -> 0(0(2(3(2(0(1(0(2(1(0(1(0(3(0(3(0(3(z0))))))))))))))))))
   0(c_3(c_1(c_2(c_3(c_1(c_0(c_3(c_3(c_3(c_1(c_3(c_0(c_3(c_2(c_2(c_1(c_2(z0)))))))))))))))))) -> 1(0(3(1(0(3(3(3(3(2(3(2(3(2(0(2(1(1(z0))))))))))))))))))
   0(c_0(c_3(c_0(c_3(c_1(c_2(c_0(c_3(c_0(c_3(c_1(c_0(c_0(c_1(c_0(c_1(c_3(z0)))))))))))))))))) -> 0(3(0(0(3(3(0(1(0(3(0(1(0(0(2(1(1(3(z0))))))))))))))))))
   0(c_2(c_3(c_3(c_1(c_0(c_3(c_0(c_0(c_0(c_2(c_0(c_1(c_3(c_1(c_3(c_3(c_0(z0)))))))))))))))))) -> 0(3(0(3(3(2(3(2(3(0(0(0(0(1(1(1(3(0(z0))))))))))))))))))
   0(c_0(c_1(c_3(c_1(c_0(c_3(c_1(c_1(c_3(c_1(c_2(c_3(c_1(c_2(c_2(c_1(c_1(z0)))))))))))))))))) -> 0(3(0(2(1(0(3(2(1(1(2(1(3(1(3(1(1(1(z0))))))))))))))))))
   0(c_0(c_3(c_2(c_1(c_3(c_1(c_3(c_3(c_0(c_1(c_2(c_0(c_0(c_0(c_2(c_0(c_2(z0)))))))))))))))))) -> 0(3(0(0(2(1(3(1(2(3(2(1(0(0(0(3(2(0(z0))))))))))))))))))
   0(c_3(c_3(c_3(c_1(c_2(c_0(c_0(c_3(c_2(c_0(c_1(c_2(c_1(c_3(c_0(c_2(c_0(z0)))))))))))))))))) -> 0(2(1(0(1(0(1(0(0(3(3(2(3(0(2(3(2(3(z0))))))))))))))))))
   0(c_0(c_1(c_2(c_0(c_0(c_3(c_3(c_2(c_1(c_3(c_3(c_3(c_1(c_1(c_1(c_1(c_2(z0)))))))))))))))))) -> 0(0(3(3(1(0(2(3(2(1(1(3(1(1(1(3(2(0(z0))))))))))))))))))
   0(c_0(c_1(c_1(c_1(c_3(c_2(c_2(c_2(c_1(c_3(c_2(c_3(c_0(c_0(c_0(c_0(c_0(z0)))))))))))))))))) -> 1(0(0(3(2(0(1(3(2(0(0(2(3(1(0(2(1(0(z0))))))))))))))))))
   0(c_3(c_0(c_3(c_2(c_2(c_0(c_3(c_3(c_1(c_0(c_0(c_3(c_0(c_3(c_0(c_1(c_0(z0)))))))))))))))))) -> 0(3(0(0(3(3(3(2(1(3(2(0(0(1(3(0(0(0(z0))))))))))))))))))
   0(c_0(c_0(c_3(c_0(c_3(c_0(c_1(c_2(c_1(c_0(c_0(c_0(c_1(c_2(c_3(c_3(c_3(z0)))))))))))))))))) -> 0(0(0(2(3(0(0(0(0(1(1(3(1(0(2(3(3(3(z0))))))))))))))))))
   0(c_0(c_3(c_0(c_3(c_3(c_3(c_1(c_1(c_1(c_3(c_1(c_1(c_2(c_1(c_2(c_3(c_0(z0)))))))))))))))))) -> 0(3(3(1(2(1(3(0(3(3(2(0(1(1(0(1(1(3(z0))))))))))))))))))
   0(c_0(c_1(c_0(c_1(c_1(c_1(c_0(c_2(c_2(c_3(c_3(c_1(c_3(c_0(c_2(c_1(c_0(z0)))))))))))))))))) -> 0(0(1(1(1(3(3(3(2(1(1(0(0(1(2(0(2(0(z0))))))))))))))))))
   0(c_0(c_0(c_0(c_3(c_0(c_3(c_1(c_3(c_1(c_2(c_2(c_1(c_3(c_1(c_0(c_0(c_2(z0)))))))))))))))))) -> 0(0(3(3(2(1(3(0(0(1(1(2(0(0(1(0(2(3(z0))))))))))))))))))
   0(c_0(c_1(c_2(c_0(c_1(c_0(c_1(c_1(c_0(c_1(c_2(c_2(c_3(c_3(c_1(c_2(c_2(z0)))))))))))))))))) -> 0(2(0(1(2(3(1(1(0(0(2(3(2(1(1(1(0(2(z0))))))))))))))))))
   0(c_2(c_2(c_3(c_2(c_3(c_2(c_2(c_2(c_2(c_2(c_3(c_3(c_0(c_0(c_0(c_0(c_3(z0)))))))))))))))))) -> 0(2(0(3(2(2(0(3(3(3(2(2(2(0(2(0(2(3(z0))))))))))))))))))
   0(c_0(c_2(c_3(c_3(c_3(c_0(c_0(c_1(c_1(c_2(c_2(c_0(c_3(c_2(c_3(c_3(c_0(z0)))))))))))))))))) -> 0(3(0(2(3(0(1(3(3(2(0(0(3(3(2(1(2(0(z0))))))))))))))))))
   0(c_1(c_3(c_0(c_1(c_0(c_1(c_1(c_2(c_2(c_2(c_3(c_3(c_0(c_3(c_0(c_0(c_0(z0)))))))))))))))))) -> 0(2(1(0(0(3(2(0(0(3(3(3(1(1(0(1(2(0(z0))))))))))))))))))
   0(c_1(c_2(c_3(c_0(c_2(c_1(c_2(c_3(c_0(c_0(c_3(c_0(c_1(c_0(c_1(c_3(c_0(z0)))))))))))))))))) -> 0(2(0(0(0(2(3(3(1(1(3(2(0(3(0(0(1(1(z0))))))))))))))))))
   0(c_0(c_3(c_0(c_2(c_0(c_1(c_1(c_3(c_1(c_0(c_2(c_0(c_0(c_0(c_2(c_1(c_1(z0)))))))))))))))))) -> 0(3(1(0(3(2(0(1(0(1(0(0(2(0(1(2(0(1(z0))))))))))))))))))
   0(c_0(c_3(c_3(c_1(c_2(c_3(c_0(c_2(c_3(c_3(c_3(c_0(c_0(c_3(c_2(c_2(c_3(z0)))))))))))))))))) -> 3(0(3(3(2(0(2(3(2(0(3(1(3(3(2(0(0(3(z0))))))))))))))))))
   0(c_0(c_2(c_2(c_1(c_1(c_3(c_0(c_2(c_2(c_2(c_2(c_0(c_3(c_3(c_0(c_1(c_0(z0)))))))))))))))))) -> 0(2(2(1(1(0(2(3(0(0(2(0(2(1(3(2(3(0(z0))))))))))))))))))
   1(z0) -> c_1(z0)
   1(c_3(c_0(c_3(c_3(c_0(c_2(c_3(c_1(c_0(c_0(c_0(c_3(c_2(c_1(c_2(c_3(c_3(z0)))))))))))))))))) -> 1(3(0(2(0(0(3(1(0(2(1(0(2(3(3(3(3(3(z0))))))))))))))))))
   1(c_2(c_1(c_2(c_2(c_0(c_1(c_3(c_0(c_2(c_3(c_2(c_2(c_3(c_2(c_3(c_3(c_0(z0)))))))))))))))))) -> 1(2(0(3(0(2(2(1(3(3(2(2(2(3(3(2(1(0(z0))))))))))))))))))
   1(c_2(c_0(c_0(c_1(c_1(c_0(c_1(c_2(c_0(c_1(c_1(c_2(c_0(c_0(c_3(c_3(c_1(z0)))))))))))))))))) -> 1(1(1(0(1(0(1(0(1(0(0(2(0(1(3(3(2(2(z0))))))))))))))))))
   1(c_0(c_0(c_0(c_3(c_0(c_0(c_1(c_3(c_1(c_2(c_1(c_2(c_2(c_1(c_2(c_3(c_1(z0)))))))))))))))))) -> 1(3(0(0(0(3(2(1(2(1(0(0(1(3(2(2(1(1(z0))))))))))))))))))
   1(c_0(c_2(c_3(c_1(c_3(c_2(c_2(c_3(c_1(c_2(c_0(c_1(c_0(c_3(c_0(c_0(c_0(z0)))))))))))))))))) -> 1(0(3(3(2(1(3(2(3(0(1(2(0(0(2(1(0(0(z0))))))))))))))))))
   1(c_3(c_1(c_2(c_2(c_2(c_0(c_3(c_3(c_2(c_1(c_0(c_3(c_3(c_0(c_0(c_3(c_0(z0)))))))))))))))))) -> 1(3(2(3(0(2(3(3(3(0(0(2(0(1(3(2(1(0(z0))))))))))))))))))
   1(c_2(c_1(c_3(c_1(c_1(c_3(c_0(c_3(c_1(c_1(c_1(c_1(c_1(c_3(c_0(c_1(c_3(z0)))))))))))))))))) -> 1(0(1(1(0(3(1(3(3(1(1(3(2(1(1(1(1(3(z0))))))))))))))))))
   1(c_3(c_1(c_1(c_1(c_2(c_0(c_2(c_1(c_2(c_0(c_3(c_3(c_1(c_2(c_2(c_3(c_1(z0)))))))))))))))))) -> 1(2(1(2(1(2(2(1(1(1(1(0(3(3(3(0(3(2(z0))))))))))))))))))
   1(c_3(c_0(c_0(c_1(c_2(c_3(c_3(c_2(c_3(c_1(c_1(c_3(c_1(c_0(c_3(c_1(c_2(z0)))))))))))))))))) -> 1(1(2(3(3(3(3(1(1(0(2(0(1(3(3(2(0(1(z0))))))))))))))))))
   1(c_1(c_1(c_2(c_1(c_2(c_3(c_0(c_0(c_2(c_3(c_0(c_3(c_1(c_3(c_2(c_0(c_2(z0)))))))))))))))))) -> 1(1(1(3(0(2(0(2(0(2(3(2(0(3(3(1(1(2(z0))))))))))))))))))
   1(c_0(c_3(c_3(c_3(c_0(c_2(c_3(c_0(c_2(c_1(c_1(c_0(c_3(c_3(c_1(c_3(c_1(z0)))))))))))))))))) -> 1(3(3(1(1(1(0(3(0(0(3(3(3(2(3(2(0(1(z0))))))))))))))))))
   1(c_2(c_2(c_3(c_2(c_1(c_3(c_0(c_3(c_1(c_3(c_3(c_1(c_3(c_0(c_3(c_3(c_3(z0)))))))))))))))))) -> 1(3(3(1(1(2(0(3(3(2(3(1(3(2(0(3(3(3(z0))))))))))))))))))
   1(c_2(c_1(c_2(c_3(c_0(c_3(c_0(c_2(c_2(c_0(c_2(c_3(c_2(c_0(c_1(c_1(c_2(z0)))))))))))))))))) -> 1(0(1(3(2(2(0(2(1(2(1(3(2(0(2(3(0(2(z0))))))))))))))))))
   1(c_2(c_2(c_3(c_3(c_0(c_1(c_2(c_1(c_0(c_3(c_1(c_2(c_3(c_1(c_1(c_2(c_2(z0)))))))))))))))))) -> 1(3(3(2(3(3(1(2(2(0(1(2(2(2(1(1(1(0(z0))))))))))))))))))
   1(c_3(c_3(c_0(c_3(c_1(c_0(c_1(c_3(c_1(c_2(c_2(c_0(c_3(c_1(c_1(c_0(c_0(z0)))))))))))))))))) -> 1(3(2(0(3(0(0(0(3(2(1(3(1(1(1(1(3(0(z0))))))))))))))))))
   1(c_1(c_2(c_1(c_3(c_0(c_2(c_1(c_0(c_0(c_3(c_0(c_1(c_2(c_2(c_0(c_3(c_3(z0)))))))))))))))))) -> 1(0(3(2(1(0(3(3(1(0(2(2(0(1(0(2(1(3(z0))))))))))))))))))
   1(c_2(c_1(c_0(c_1(c_3(c_0(c_3(c_3(c_1(c_3(c_1(c_2(c_2(c_3(c_0(c_2(c_0(z0)))))))))))))))))) -> 1(1(3(3(2(0(0(3(2(1(2(3(3(2(0(1(1(0(z0))))))))))))))))))
   1(c_0(c_3(c_0(c_2(c_3(c_0(c_3(c_1(c_3(c_1(c_1(c_2(c_0(c_3(c_0(c_3(c_0(z0)))))))))))))))))) -> 1(0(1(0(2(3(0(3(0(3(0(3(3(1(0(2(1(3(z0))))))))))))))))))
   1(c_2(c_3(c_1(c_3(c_0(c_1(c_1(c_3(c_1(c_3(c_1(c_2(c_0(c_3(c_2(c_3(c_0(z0)))))))))))))))))) -> 1(1(3(2(1(3(3(0(2(0(3(3(1(1(3(2(0(1(z0))))))))))))))))))
   1(c_1(c_2(c_3(c_3(c_1(c_0(c_0(c_3(c_1(c_3(c_3(c_3(c_0(c_0(c_1(c_3(c_1(z0)))))))))))))))))) -> 1(3(0(2(3(3(3(1(1(0(3(3(3(0(1(1(0(1(z0))))))))))))))))))
   1(c_3(c_1(c_2(c_0(c_1(c_2(c_0(c_0(c_1(c_0(c_0(c_2(c_3(c_0(c_1(c_1(c_2(z0)))))))))))))))))) -> 1(3(2(2(0(2(1(0(1(0(0(1(2(0(1(1(3(0(z0))))))))))))))))))
   2(z0) -> c_2(z0)
   2(c_3(c_1(c_1(c_2(c_0(c_2(c_0(c_3(c_2(c_2(c_3(c_1(c_2(c_2(c_3(c_0(c_0(z0)))))))))))))))))) -> 2(2(2(2(1(3(0(2(0(3(2(1(0(1(0(3(2(3(z0))))))))))))))))))
   2(c_2(c_0(c_2(c_3(c_3(c_2(c_2(c_0(c_3(c_1(c_0(c_0(c_2(c_2(c_3(c_0(c_0(z0)))))))))))))))))) -> 2(2(0(0(3(3(2(3(2(3(2(0(2(0(0(0(1(2(z0))))))))))))))))))
   2(c_2(c_3(c_3(c_1(c_2(c_3(c_2(c_1(c_2(c_1(c_3(c_2(c_2(c_1(c_1(c_2(c_1(z0)))))))))))))))))) -> 2(1(1(1(2(2(3(2(3(3(3(2(1(2(1(2(2(1(z0))))))))))))))))))
   2(c_3(c_0(c_0(c_3(c_0(c_0(c_3(c_0(c_2(c_2(c_2(c_2(c_3(c_2(c_0(c_3(c_0(z0)))))))))))))))))) -> 2(2(3(0(2(0(0(2(0(3(3(2(3(3(2(0(0(0(z0))))))))))))))))))
   2(c_0(c_1(c_1(c_2(c_1(c_1(c_2(c_2(c_1(c_1(c_2(c_1(c_2(c_2(c_0(c_0(c_2(z0)))))))))))))))))) -> 2(0(2(1(2(1(0(2(2(2(1(2(1(0(2(1(1(1(z0))))))))))))))))))
   2(c_2(c_1(c_1(c_3(c_0(c_0(c_3(c_2(c_3(c_1(c_2(c_1(c_0(c_0(c_2(c_1(c_2(z0)))))))))))))))))) -> 2(1(0(0(2(1(0(3(3(2(2(1(1(1(0(3(2(2(z0))))))))))))))))))
   2(c_2(c_3(c_3(c_3(c_3(c_3(c_1(c_2(c_0(c_1(c_1(c_1(c_2(c_3(c_1(c_2(c_1(z0)))))))))))))))))) -> 1(3(3(3(2(0(1(2(1(2(1(3(2(3(3(2(1(1(z0))))))))))))))))))
   2(c_3(c_2(c_3(c_0(c_0(c_0(c_3(c_3(c_2(c_2(c_2(c_2(c_3(c_2(c_2(c_0(c_2(z0)))))))))))))))))) -> 2(3(3(2(3(2(0(2(2(0(0(3(2(0(2(2(3(2(z0))))))))))))))))))
   2(c_2(c_0(c_1(c_2(c_3(c_3(c_0(c_3(c_2(c_2(c_2(c_0(c_3(c_3(c_1(c_1(c_3(z0)))))))))))))))))) -> 2(1(3(2(0(3(3(0(2(1(1(3(2(0(3(2(2(3(z0))))))))))))))))))
   2(c_0(c_0(c_2(c_2(c_0(c_3(c_0(c_1(c_0(c_2(c_3(c_3(c_1(c_2(c_1(c_2(c_2(z0)))))))))))))))))) -> 2(0(1(2(2(3(0(3(3(2(0(1(2(2(1(0(2(0(z0))))))))))))))))))
   2(c_3(c_1(c_1(c_3(c_1(c_0(c_2(c_3(c_0(c_0(c_0(c_2(c_3(c_3(c_2(c_3(c_1(z0)))))))))))))))))) -> 2(3(3(2(0(2(1(0(3(3(0(3(1(0(1(2(3(1(z0))))))))))))))))))
   2(c_2(c_3(c_1(c_1(c_2(c_2(c_0(c_1(c_0(c_1(c_0(c_1(c_0(c_1(c_3(c_1(c_0(z0)))))))))))))))))) -> 2(0(1(0(1(1(0(3(2(1(1(0(2(2(3(1(1(0(z0))))))))))))))))))
   2(c_2(c_3(c_1(c_2(c_2(c_2(c_1(c_2(c_0(c_1(c_3(c_2(c_2(c_3(c_3(c_0(c_0(z0)))))))))))))))))) -> 2(1(2(2(3(3(2(2(0(1(0(2(2(3(1(0(2(3(z0))))))))))))))))))
   2(c_0(c_0(c_3(c_0(c_3(c_1(c_1(c_2(c_2(c_2(c_2(c_3(c_2(c_0(c_0(c_3(c_0(z0)))))))))))))))))) -> 2(0(3(0(1(3(2(2(3(0(1(3(2(2(0(2(0(0(z0))))))))))))))))))
   2(c_0(c_0(c_0(c_0(c_3(c_1(c_2(c_2(c_0(c_3(c_0(c_2(c_0(c_3(c_1(c_3(c_2(z0)))))))))))))))))) -> 2(0(1(0(2(3(2(0(3(3(2(3(0(2(1(0(0(0(z0))))))))))))))))))
   2(c_3(c_0(c_0(c_0(c_2(c_0(c_0(c_1(c_3(c_3(c_1(c_2(c_2(c_2(c_2(c_2(c_2(z0)))))))))))))))))) -> 2(1(2(2(3(0(0(3(0(3(2(0(0(2(2(1(2(2(z0))))))))))))))))))
   2(c_0(c_0(c_3(c_1(c_2(c_1(c_3(c_0(c_2(c_2(c_2(c_1(c_2(c_2(c_2(c_3(c_1(z0)))))))))))))))))) -> 2(1(0(3(2(2(1(2(3(2(2(0(3(2(2(0(1(1(z0))))))))))))))))))
   2(c_1(c_2(c_0(c_2(c_1(c_3(c_0(c_1(c_2(c_1(c_0(c_2(c_1(c_3(c_1(c_2(c_0(z0)))))))))))))))))) -> 2(1(2(3(1(0(1(0(0(2(1(1(3(2(0(2(1(2(z0))))))))))))))))))
   2(c_3(c_0(c_3(c_1(c_1(c_2(c_3(c_1(c_3(c_2(c_0(c_1(c_2(c_2(c_1(c_3(c_0(z0)))))))))))))))))) -> 2(1(1(0(1(2(1(3(3(3(2(2(0(2(1(3(3(0(z0))))))))))))))))))
   3(z0) -> c_3(z0)
   3(c_2(c_1(c_1(c_1(c_3(c_1(c_1(c_2(c_2(c_1(c_2(c_1(c_1(c_2(c_3(c_0(c_1(z0)))))))))))))))))) -> 3(2(1(1(1(1(1(0(3(2(2(2(1(2(3(1(1(1(z0))))))))))))))))))
   3(c_1(c_2(c_1(c_0(c_3(c_1(c_1(c_2(c_2(c_3(c_0(c_2(c_2(c_3(c_0(c_2(c_0(z0)))))))))))))))))) -> 3(1(1(1(2(2(2(0(3(2(0(3(2(3(2(0(0(1(z0))))))))))))))))))
   3(c_3(c_1(c_1(c_3(c_1(c_0(c_1(c_3(c_1(c_2(c_3(c_3(c_3(c_1(c_1(c_3(c_0(z0)))))))))))))))))) -> 3(3(1(0(3(3(1(3(3(3(3(1(1(1(1(2(0(1(z0))))))))))))))))))
   3(c_1(c_3(c_0(c_3(c_0(c_3(c_2(c_2(c_3(c_0(c_2(c_3(c_1(c_2(c_1(c_0(c_2(z0)))))))))))))))))) -> 3(0(2(2(3(2(0(1(3(1(0(2(1(3(3(2(0(3(z0))))))))))))))))))
   3(c_0(c_2(c_0(c_3(c_3(c_0(c_0(c_2(c_2(c_0(c_1(c_0(c_3(c_3(c_1(c_3(c_1(z0)))))))))))))))))) -> 3(0(2(1(0(1(3(3(2(0(0(3(0(3(2(3(1(0(z0))))))))))))))))))
   3(c_3(c_0(c_2(c_1(c_2(c_2(c_0(c_0(c_1(c_3(c_2(c_0(c_0(c_1(c_2(c_3(c_0(z0)))))))))))))))))) -> 0(0(1(1(0(2(2(3(3(2(1(0(0(2(3(3(2(0(z0))))))))))))))))))
   3(c_3(c_0(c_2(c_0(c_2(c_0(c_3(c_3(c_3(c_1(c_0(c_2(c_2(c_2(c_3(c_3(c_0(z0)))))))))))))))))) -> 3(2(2(1(0(3(2(0(0(2(3(3(2(3(3(0(0(3(z0))))))))))))))))))
   3(c_0(c_1(c_0(c_3(c_1(c_2(c_2(c_0(c_1(c_1(c_1(c_3(c_3(c_0(c_2(c_3(c_0(z0)))))))))))))))))) -> 0(3(3(2(1(0(0(2(3(3(1(1(0(1(1(3(2(0(z0))))))))))))))))))
   3(c_1(c_2(c_0(c_1(c_2(c_0(c_3(c_1(c_2(c_1(c_0(c_0(c_2(c_0(c_3(c_0(c_2(z0)))))))))))))))))) -> 3(1(0(2(2(1(3(0(0(2(0(3(2(1(1(0(2(0(z0))))))))))))))))))
   3(c_1(c_3(c_1(c_1(c_3(c_0(c_2(c_0(c_0(c_3(c_0(c_2(c_3(c_1(c_2(c_2(c_2(z0)))))))))))))))))) -> 3(1(3(1(0(3(3(2(1(2(1(2(0(2(3(2(0(0(z0))))))))))))))))))
   3(c_0(c_1(c_2(c_2(c_3(c_0(c_1(c_2(c_1(c_3(c_1(c_3(c_3(c_3(c_1(c_1(c_3(z0)))))))))))))))))) -> 0(2(1(3(3(3(2(1(1(0(1(3(3(2(1(1(3(3(z0))))))))))))))))))
   3(c_0(c_2(c_0(c_3(c_1(c_1(c_3(c_2(c_1(c_3(c_0(c_2(c_0(c_2(c_1(c_1(c_3(z0)))))))))))))))))) -> 1(3(3(2(0(0(0(1(3(3(2(0(1(1(2(1(2(3(z0))))))))))))))))))
   3(c_3(c_0(c_3(c_0(c_0(c_2(c_3(c_0(c_2(c_3(c_3(c_1(c_2(c_2(c_2(c_2(c_0(z0)))))))))))))))))) -> 3(3(0(0(3(2(3(2(0(0(0(2(3(2(1(2(3(2(z0))))))))))))))))))
   3(c_3(c_3(c_3(c_3(c_0(c_3(c_1(c_1(c_3(c_2(c_1(c_1(c_3(c_2(c_2(c_0(c_2(z0)))))))))))))))))) -> 3(3(1(0(1(2(3(2(0(1(1(3(3(3(3(2(3(2(z0))))))))))))))))))
   3(c_2(c_2(c_3(c_0(c_0(c_3(c_0(c_0(c_2(c_3(c_0(c_1(c_1(c_1(c_1(c_3(c_0(z0)))))))))))))))))) -> 3(2(0(3(2(3(0(1(0(1(1(0(3(1(3(0(2(0(z0))))))))))))))))))
   3(c_1(c_3(c_1(c_1(c_3(c_3(c_3(c_2(c_1(c_2(c_3(c_0(c_2(c_1(c_2(c_3(c_0(z0)))))))))))))))))) -> 3(3(3(2(0(1(3(2(0(1(3(3(1(2(1(1(2(3(z0))))))))))))))))))
   3(c_0(c_2(c_2(c_0(c_0(c_1(c_2(c_3(c_0(c_0(c_1(c_1(c_2(c_0(c_1(c_2(c_2(z0)))))))))))))))))) -> 2(3(0(2(3(1(1(0(2(0(2(1(1(0(0(2(0(2(z0))))))))))))))))))
Tuples:
   ENCARG(cons_0(z0)) -> c(0'(encArg(z0)), ENCARG(z0))
   ENCARG(cons_1(z0)) -> c1(1'(encArg(z0)), ENCARG(z0))
   ENCARG(cons_2(z0)) -> c2(2'(encArg(z0)), ENCARG(z0))
   ENCARG(cons_3(z0)) -> c3(3'(encArg(z0)), ENCARG(z0))
   0'(c_0(c_0(c_1(c_0(c_0(c_0(c_2(c_1(c_1(c_2(c_0(c_1(c_0(c_1(c_2(c_0(c_0(z0)))))))))))))))))) -> c9(0'(1(0(1(1(0(0(2(1(1(0(0(2(0(2(0(0(0(z0)))))))))))))))))), 1'(0(1(1(0(0(2(1(1(0(0(2(0(2(0(0(0(z0))))))))))))))))), 0'(1(1(0(0(2(1(1(0(0(2(0(2(0(0(0(z0)))))))))))))))), 1'(1(0(0(2(1(1(0(0(2(0(2(0(0(0(z0))))))))))))))), 1'(0(0(2(1(1(0(0(2(0(2(0(0(0(z0)))))))))))))), 0'(0(2(1(1(0(0(2(0(2(0(0(0(z0))))))))))))), 0'(2(1(1(0(0(2(0(2(0(0(0(z0)))))))))))), 2'(1(1(0(0(2(0(2(0(0(0(z0))))))))))), 1'(1(0(0(2(0(2(0(0(0(z0)))))))))), 1'(0(0(2(0(2(0(0(0(z0))))))))), 0'(0(2(0(2(0(0(0(z0)))))))), 0'(2(0(2(0(0(0(z0))))))), 2'(0(2(0(0(0(z0)))))), 0'(2(0(0(0(z0))))), 2'(0(0(0(z0)))), 0'(0(0(z0))), 0'(0(z0)), 0'(z0))
   0'(c_0(c_1(c_3(c_2(c_1(c_0(c_0(c_3(c_2(c_3(c_1(c_3(c_0(c_0(c_2(c_0(c_0(z0)))))))))))))))))) -> c10(0'(0(2(3(2(0(1(0(2(1(0(1(0(3(0(3(0(3(z0)))))))))))))))))), 0'(2(3(2(0(1(0(2(1(0(1(0(3(0(3(0(3(z0))))))))))))))))), 2'(3(2(0(1(0(2(1(0(1(0(3(0(3(0(3(z0)))))))))))))))), 3'(2(0(1(0(2(1(0(1(0(3(0(3(0(3(z0))))))))))))))), 2'(0(1(0(2(1(0(1(0(3(0(3(0(3(z0)))))))))))))), 0'(1(0(2(1(0(1(0(3(0(3(0(3(z0))))))))))))), 1'(0(2(1(0(1(0(3(0(3(0(3(z0)))))))))))), 0'(2(1(0(1(0(3(0(3(0(3(z0))))))))))), 2'(1(0(1(0(3(0(3(0(3(z0)))))))))), 1'(0(1(0(3(0(3(0(3(z0))))))))), 0'(1(0(3(0(3(0(3(z0)))))))), 1'(0(3(0(3(0(3(z0))))))), 0'(3(0(3(0(3(z0)))))), 3'(0(3(0(3(z0))))), 0'(3(0(3(z0)))), 3'(0(3(z0))), 0'(3(z0)), 3'(z0))
   0'(c_3(c_1(c_2(c_3(c_1(c_0(c_3(c_3(c_3(c_1(c_3(c_0(c_3(c_2(c_2(c_1(c_2(z0)))))))))))))))))) -> c11(1'(0(3(1(0(3(3(3(3(2(3(2(3(2(0(2(1(1(z0)))))))))))))))))), 0'(3(1(0(3(3(3(3(2(3(2(3(2(0(2(1(1(z0))))))))))))))))), 3'(1(0(3(3(3(3(2(3(2(3(2(0(2(1(1(z0)))))))))))))))), 1'(0(3(3(3(3(2(3(2(3(2(0(2(1(1(z0))))))))))))))), 0'(3(3(3(3(2(3(2(3(2(0(2(1(1(z0)))))))))))))), 3'(3(3(3(2(3(2(3(2(0(2(1(1(z0))))))))))))), 3'(3(3(2(3(2(3(2(0(2(1(1(z0)))))))))))), 3'(3(2(3(2(3(2(0(2(1(1(z0))))))))))), 3'(2(3(2(3(2(0(2(1(1(z0)))))))))), 2'(3(2(3(2(0(2(1(1(z0))))))))), 3'(2(3(2(0(2(1(1(z0)))))))), 2'(3(2(0(2(1(1(z0))))))), 3'(2(0(2(1(1(z0)))))), 2'(0(2(1(1(z0))))), 0'(2(1(1(z0)))), 2'(1(1(z0))), 1'(1(z0)), 1'(z0))
   0'(c_0(c_3(c_0(c_3(c_1(c_2(c_0(c_3(c_0(c_3(c_1(c_0(c_0(c_1(c_0(c_1(c_3(z0)))))))))))))))))) -> c12(0'(3(0(0(3(3(0(1(0(3(0(1(0(0(2(1(1(3(z0)))))))))))))))))), 3'(0(0(3(3(0(1(0(3(0(1(0(0(2(1(1(3(z0))))))))))))))))), 0'(0(3(3(0(1(0(3(0(1(0(0(2(1(1(3(z0)))))))))))))))), 0'(3(3(0(1(0(3(0(1(0(0(2(1(1(3(z0))))))))))))))), 3'(3(0(1(0(3(0(1(0(0(2(1(1(3(z0)))))))))))))), 3'(0(1(0(3(0(1(0(0(2(1(1(3(z0))))))))))))), 0'(1(0(3(0(1(0(0(2(1(1(3(z0)))))))))))), 1'(0(3(0(1(0(0(2(1(1(3(z0))))))))))), 0'(3(0(1(0(0(2(1(1(3(z0)))))))))), 3'(0(1(0(0(2(1(1(3(z0))))))))), 0'(1(0(0(2(1(1(3(z0)))))))), 1'(0(0(2(1(1(3(z0))))))), 0'(0(2(1(1(3(z0)))))), 0'(2(1(1(3(z0))))), 2'(1(1(3(z0)))), 1'(1(3(z0))), 1'(3(z0)), 3'(z0))
   0'(c_2(c_3(c_3(c_1(c_0(c_3(c_0(c_0(c_0(c_2(c_0(c_1(c_3(c_1(c_3(c_3(c_0(z0)))))))))))))))))) -> c13(0'(3(0(3(3(2(3(2(3(0(0(0(0(1(1(1(3(0(z0)))))))))))))))))), 3'(0(3(3(2(3(2(3(0(0(0(0(1(1(1(3(0(z0))))))))))))))))), 0'(3(3(2(3(2(3(0(0(0(0(1(1(1(3(0(z0)))))))))))))))), 3'(3(2(3(2(3(0(0(0(0(1(1(1(3(0(z0))))))))))))))), 3'(2(3(2(3(0(0(0(0(1(1(1(3(0(z0)))))))))))))), 2'(3(2(3(0(0(0(0(1(1(1(3(0(z0))))))))))))), 3'(2(3(0(0(0(0(1(1(1(3(0(z0)))))))))))), 2'(3(0(0(0(0(1(1(1(3(0(z0))))))))))), 3'(0(0(0(0(1(1(1(3(0(z0)))))))))), 0'(0(0(0(1(1(1(3(0(z0))))))))), 0'(0(0(1(1(1(3(0(z0)))))))), 0'(0(1(1(1(3(0(z0))))))), 0'(1(1(1(3(0(z0)))))), 1'(1(1(3(0(z0))))), 1'(1(3(0(z0)))), 1'(3(0(z0))), 3'(0(z0)), 0'(z0))
   0'(c_0(c_1(c_3(c_1(c_0(c_3(c_1(c_1(c_3(c_1(c_2(c_3(c_1(c_2(c_2(c_1(c_1(z0)))))))))))))))))) -> c14(0'(3(0(2(1(0(3(2(1(1(2(1(3(1(3(1(1(1(z0)))))))))))))))))), 3'(0(2(1(0(3(2(1(1(2(1(3(1(3(1(1(1(z0))))))))))))))))), 0'(2(1(0(3(2(1(1(2(1(3(1(3(1(1(1(z0)))))))))))))))), 2'(1(0(3(2(1(1(2(1(3(1(3(1(1(1(z0))))))))))))))), 1'(0(3(2(1(1(2(1(3(1(3(1(1(1(z0)))))))))))))), 0'(3(2(1(1(2(1(3(1(3(1(1(1(z0))))))))))))), 3'(2(1(1(2(1(3(1(3(1(1(1(z0)))))))))))), 2'(1(1(2(1(3(1(3(1(1(1(z0))))))))))), 1'(1(2(1(3(1(3(1(1(1(z0)))))))))), 1'(2(1(3(1(3(1(1(1(z0))))))))), 2'(1(3(1(3(1(1(1(z0)))))))), 1'(3(1(3(1(1(1(z0))))))), 3'(1(3(1(1(1(z0)))))), 1'(3(1(1(1(z0))))), 3'(1(1(1(z0)))), 1'(1(1(z0))), 1'(1(z0)), 1'(z0))
   0'(c_0(c_3(c_2(c_1(c_3(c_1(c_3(c_3(c_0(c_1(c_2(c_0(c_0(c_0(c_2(c_0(c_2(z0)))))))))))))))))) -> c15(0'(3(0(0(2(1(3(1(2(3(2(1(0(0(0(3(2(0(z0)))))))))))))))))), 3'(0(0(2(1(3(1(2(3(2(1(0(0(0(3(2(0(z0))))))))))))))))), 0'(0(2(1(3(1(2(3(2(1(0(0(0(3(2(0(z0)))))))))))))))), 0'(2(1(3(1(2(3(2(1(0(0(0(3(2(0(z0))))))))))))))), 2'(1(3(1(2(3(2(1(0(0(0(3(2(0(z0)))))))))))))), 1'(3(1(2(3(2(1(0(0(0(3(2(0(z0))))))))))))), 3'(1(2(3(2(1(0(0(0(3(2(0(z0)))))))))))), 1'(2(3(2(1(0(0(0(3(2(0(z0))))))))))), 2'(3(2(1(0(0(0(3(2(0(z0)))))))))), 3'(2(1(0(0(0(3(2(0(z0))))))))), 2'(1(0(0(0(3(2(0(z0)))))))), 1'(0(0(0(3(2(0(z0))))))), 0'(0(0(3(2(0(z0)))))), 0'(0(3(2(0(z0))))), 0'(3(2(0(z0)))), 3'(2(0(z0))), 2'(0(z0)), 0'(z0))
   0'(c_3(c_3(c_3(c_1(c_2(c_0(c_0(c_3(c_2(c_0(c_1(c_2(c_1(c_3(c_0(c_2(c_0(z0)))))))))))))))))) -> c16(0'(2(1(0(1(0(1(0(0(3(3(2(3(0(2(3(2(3(z0)))))))))))))))))), 2'(1(0(1(0(1(0(0(3(3(2(3(0(2(3(2(3(z0))))))))))))))))), 1'(0(1(0(1(0(0(3(3(2(3(0(2(3(2(3(z0)))))))))))))))), 0'(1(0(1(0(0(3(3(2(3(0(2(3(2(3(z0))))))))))))))), 1'(0(1(0(0(3(3(2(3(0(2(3(2(3(z0)))))))))))))), 0'(1(0(0(3(3(2(3(0(2(3(2(3(z0))))))))))))), 1'(0(0(3(3(2(3(0(2(3(2(3(z0)))))))))))), 0'(0(3(3(2(3(0(2(3(2(3(z0))))))))))), 0'(3(3(2(3(0(2(3(2(3(z0)))))))))), 3'(3(2(3(0(2(3(2(3(z0))))))))), 3'(2(3(0(2(3(2(3(z0)))))))), 2'(3(0(2(3(2(3(z0))))))), 3'(0(2(3(2(3(z0)))))), 0'(2(3(2(3(z0))))), 2'(3(2(3(z0)))), 3'(2(3(z0))), 2'(3(z0)), 3'(z0))
   0'(c_0(c_1(c_2(c_0(c_0(c_3(c_3(c_2(c_1(c_3(c_3(c_3(c_1(c_1(c_1(c_1(c_2(z0)))))))))))))))))) -> c17(0'(0(3(3(1(0(2(3(2(1(1(3(1(1(1(3(2(0(z0)))))))))))))))))), 0'(3(3(1(0(2(3(2(1(1(3(1(1(1(3(2(0(z0))))))))))))))))), 3'(3(1(0(2(3(2(1(1(3(1(1(1(3(2(0(z0)))))))))))))))), 3'(1(0(2(3(2(1(1(3(1(1(1(3(2(0(z0))))))))))))))), 1'(0(2(3(2(1(1(3(1(1(1(3(2(0(z0)))))))))))))), 0'(2(3(2(1(1(3(1(1(1(3(2(0(z0))))))))))))), 2'(3(2(1(1(3(1(1(1(3(2(0(z0)))))))))))), 3'(2(1(1(3(1(1(1(3(2(0(z0))))))))))), 2'(1(1(3(1(1(1(3(2(0(z0)))))))))), 1'(1(3(1(1(1(3(2(0(z0))))))))), 1'(3(1(1(1(3(2(0(z0)))))))), 3'(1(1(1(3(2(0(z0))))))), 1'(1(1(3(2(0(z0)))))), 1'(1(3(2(0(z0))))), 1'(3(2(0(z0)))), 3'(2(0(z0))), 2'(0(z0)), 0'(z0))
   0'(c_0(c_1(c_1(c_1(c_3(c_2(c_2(c_2(c_1(c_3(c_2(c_3(c_0(c_0(c_0(c_0(c_0(z0)))))))))))))))))) -> c18(1'(0(0(3(2(0(1(3(2(0(0(2(3(1(0(2(1(0(z0)))))))))))))))))), 0'(0(3(2(0(1(3(2(0(0(2(3(1(0(2(1(0(z0))))))))))))))))), 0'(3(2(0(1(3(2(0(0(2(3(1(0(2(1(0(z0)))))))))))))))), 3'(2(0(1(3(2(0(0(2(3(1(0(2(1(0(z0))))))))))))))), 2'(0(1(3(2(0(0(2(3(1(0(2(1(0(z0)))))))))))))), 0'(1(3(2(0(0(2(3(1(0(2(1(0(z0))))))))))))), 1'(3(2(0(0(2(3(1(0(2(1(0(z0)))))))))))), 3'(2(0(0(2(3(1(0(2(1(0(z0))))))))))), 2'(0(0(2(3(1(0(2(1(0(z0)))))))))), 0'(0(2(3(1(0(2(1(0(z0))))))))), 0'(2(3(1(0(2(1(0(z0)))))))), 2'(3(1(0(2(1(0(z0))))))), 3'(1(0(2(1(0(z0)))))), 1'(0(2(1(0(z0))))), 0'(2(1(0(z0)))), 2'(1(0(z0))), 1'(0(z0)), 0'(z0))
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   3'(c_2(c_2(c_3(c_0(c_0(c_3(c_0(c_0(c_2(c_3(c_0(c_1(c_1(c_1(c_1(c_3(c_0(z0)))))))))))))))))) -> c89(3'(2(0(3(2(3(0(1(0(1(1(0(3(1(3(0(2(0(z0)))))))))))))))))), 2'(0(3(2(3(0(1(0(1(1(0(3(1(3(0(2(0(z0))))))))))))))))), 0'(3(2(3(0(1(0(1(1(0(3(1(3(0(2(0(z0)))))))))))))))), 3'(2(3(0(1(0(1(1(0(3(1(3(0(2(0(z0))))))))))))))), 2'(3(0(1(0(1(1(0(3(1(3(0(2(0(z0)))))))))))))), 3'(0(1(0(1(1(0(3(1(3(0(2(0(z0))))))))))))), 0'(1(0(1(1(0(3(1(3(0(2(0(z0)))))))))))), 1'(0(1(1(0(3(1(3(0(2(0(z0))))))))))), 0'(1(1(0(3(1(3(0(2(0(z0)))))))))), 1'(1(0(3(1(3(0(2(0(z0))))))))), 1'(0(3(1(3(0(2(0(z0)))))))), 0'(3(1(3(0(2(0(z0))))))), 3'(1(3(0(2(0(z0)))))), 1'(3(0(2(0(z0))))), 3'(0(2(0(z0)))), 0'(2(0(z0))), 2'(0(z0)), 0'(z0))
   3'(c_1(c_3(c_1(c_1(c_3(c_3(c_3(c_2(c_1(c_2(c_3(c_0(c_2(c_1(c_2(c_3(c_0(z0)))))))))))))))))) -> c90(3'(3(3(2(0(1(3(2(0(1(3(3(1(2(1(1(2(3(z0)))))))))))))))))), 3'(3(2(0(1(3(2(0(1(3(3(1(2(1(1(2(3(z0))))))))))))))))), 3'(2(0(1(3(2(0(1(3(3(1(2(1(1(2(3(z0)))))))))))))))), 2'(0(1(3(2(0(1(3(3(1(2(1(1(2(3(z0))))))))))))))), 0'(1(3(2(0(1(3(3(1(2(1(1(2(3(z0)))))))))))))), 1'(3(2(0(1(3(3(1(2(1(1(2(3(z0))))))))))))), 3'(2(0(1(3(3(1(2(1(1(2(3(z0)))))))))))), 2'(0(1(3(3(1(2(1(1(2(3(z0))))))))))), 0'(1(3(3(1(2(1(1(2(3(z0)))))))))), 1'(3(3(1(2(1(1(2(3(z0))))))))), 3'(3(1(2(1(1(2(3(z0)))))))), 3'(1(2(1(1(2(3(z0))))))), 1'(2(1(1(2(3(z0)))))), 2'(1(1(2(3(z0))))), 1'(1(2(3(z0)))), 1'(2(3(z0))), 2'(3(z0)), 3'(z0))
   3'(c_0(c_2(c_2(c_0(c_0(c_1(c_2(c_3(c_0(c_0(c_1(c_1(c_2(c_0(c_1(c_2(c_2(z0)))))))))))))))))) -> c91(2'(3(0(2(3(1(1(0(2(0(2(1(1(0(0(2(0(2(z0)))))))))))))))))), 3'(0(2(3(1(1(0(2(0(2(1(1(0(0(2(0(2(z0))))))))))))))))), 0'(2(3(1(1(0(2(0(2(1(1(0(0(2(0(2(z0)))))))))))))))), 2'(3(1(1(0(2(0(2(1(1(0(0(2(0(2(z0))))))))))))))), 3'(1(1(0(2(0(2(1(1(0(0(2(0(2(z0)))))))))))))), 1'(1(0(2(0(2(1(1(0(0(2(0(2(z0))))))))))))), 1'(0(2(0(2(1(1(0(0(2(0(2(z0)))))))))))), 0'(2(0(2(1(1(0(0(2(0(2(z0))))))))))), 2'(0(2(1(1(0(0(2(0(2(z0)))))))))), 0'(2(1(1(0(0(2(0(2(z0))))))))), 2'(1(1(0(0(2(0(2(z0)))))))), 1'(1(0(0(2(0(2(z0))))))), 1'(0(0(2(0(2(z0)))))), 0'(0(2(0(2(z0))))), 0'(2(0(2(z0)))), 2'(0(2(z0))), 0'(2(z0)), 2'(z0))
   ENCODE_0(z0) -> c8(0'(encArg(z0)))
   ENCODE_0(z0) -> c8(ENCARG(z0))
   ENCODE_3(z0) -> c8(3'(encArg(z0)))
   ENCODE_3(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))
S tuples:
   0'(c_0(c_0(c_1(c_0(c_0(c_0(c_2(c_1(c_1(c_2(c_0(c_1(c_0(c_1(c_2(c_0(c_0(z0)))))))))))))))))) -> c9(0'(1(0(1(1(0(0(2(1(1(0(0(2(0(2(0(0(0(z0)))))))))))))))))), 1'(0(1(1(0(0(2(1(1(0(0(2(0(2(0(0(0(z0))))))))))))))))), 0'(1(1(0(0(2(1(1(0(0(2(0(2(0(0(0(z0)))))))))))))))), 1'(1(0(0(2(1(1(0(0(2(0(2(0(0(0(z0))))))))))))))), 1'(0(0(2(1(1(0(0(2(0(2(0(0(0(z0)))))))))))))), 0'(0(2(1(1(0(0(2(0(2(0(0(0(z0))))))))))))), 0'(2(1(1(0(0(2(0(2(0(0(0(z0)))))))))))), 2'(1(1(0(0(2(0(2(0(0(0(z0))))))))))), 1'(1(0(0(2(0(2(0(0(0(z0)))))))))), 1'(0(0(2(0(2(0(0(0(z0))))))))), 0'(0(2(0(2(0(0(0(z0)))))))), 0'(2(0(2(0(0(0(z0))))))), 2'(0(2(0(0(0(z0)))))), 0'(2(0(0(0(z0))))), 2'(0(0(0(z0)))), 0'(0(0(z0))), 0'(0(z0)), 0'(z0))
   0'(c_0(c_1(c_3(c_2(c_1(c_0(c_0(c_3(c_2(c_3(c_1(c_3(c_0(c_0(c_2(c_0(c_0(z0)))))))))))))))))) -> c10(0'(0(2(3(2(0(1(0(2(1(0(1(0(3(0(3(0(3(z0)))))))))))))))))), 0'(2(3(2(0(1(0(2(1(0(1(0(3(0(3(0(3(z0))))))))))))))))), 2'(3(2(0(1(0(2(1(0(1(0(3(0(3(0(3(z0)))))))))))))))), 3'(2(0(1(0(2(1(0(1(0(3(0(3(0(3(z0))))))))))))))), 2'(0(1(0(2(1(0(1(0(3(0(3(0(3(z0)))))))))))))), 0'(1(0(2(1(0(1(0(3(0(3(0(3(z0))))))))))))), 1'(0(2(1(0(1(0(3(0(3(0(3(z0)))))))))))), 0'(2(1(0(1(0(3(0(3(0(3(z0))))))))))), 2'(1(0(1(0(3(0(3(0(3(z0)))))))))), 1'(0(1(0(3(0(3(0(3(z0))))))))), 0'(1(0(3(0(3(0(3(z0)))))))), 1'(0(3(0(3(0(3(z0))))))), 0'(3(0(3(0(3(z0)))))), 3'(0(3(0(3(z0))))), 0'(3(0(3(z0)))), 3'(0(3(z0))), 0'(3(z0)), 3'(z0))
   0'(c_3(c_1(c_2(c_3(c_1(c_0(c_3(c_3(c_3(c_1(c_3(c_0(c_3(c_2(c_2(c_1(c_2(z0)))))))))))))))))) -> c11(1'(0(3(1(0(3(3(3(3(2(3(2(3(2(0(2(1(1(z0)))))))))))))))))), 0'(3(1(0(3(3(3(3(2(3(2(3(2(0(2(1(1(z0))))))))))))))))), 3'(1(0(3(3(3(3(2(3(2(3(2(0(2(1(1(z0)))))))))))))))), 1'(0(3(3(3(3(2(3(2(3(2(0(2(1(1(z0))))))))))))))), 0'(3(3(3(3(2(3(2(3(2(0(2(1(1(z0)))))))))))))), 3'(3(3(3(2(3(2(3(2(0(2(1(1(z0))))))))))))), 3'(3(3(2(3(2(3(2(0(2(1(1(z0)))))))))))), 3'(3(2(3(2(3(2(0(2(1(1(z0))))))))))), 3'(2(3(2(3(2(0(2(1(1(z0)))))))))), 2'(3(2(3(2(0(2(1(1(z0))))))))), 3'(2(3(2(0(2(1(1(z0)))))))), 2'(3(2(0(2(1(1(z0))))))), 3'(2(0(2(1(1(z0)))))), 2'(0(2(1(1(z0))))), 0'(2(1(1(z0)))), 2'(1(1(z0))), 1'(1(z0)), 1'(z0))
   0'(c_0(c_3(c_0(c_3(c_1(c_2(c_0(c_3(c_0(c_3(c_1(c_0(c_0(c_1(c_0(c_1(c_3(z0)))))))))))))))))) -> c12(0'(3(0(0(3(3(0(1(0(3(0(1(0(0(2(1(1(3(z0)))))))))))))))))), 3'(0(0(3(3(0(1(0(3(0(1(0(0(2(1(1(3(z0))))))))))))))))), 0'(0(3(3(0(1(0(3(0(1(0(0(2(1(1(3(z0)))))))))))))))), 0'(3(3(0(1(0(3(0(1(0(0(2(1(1(3(z0))))))))))))))), 3'(3(0(1(0(3(0(1(0(0(2(1(1(3(z0)))))))))))))), 3'(0(1(0(3(0(1(0(0(2(1(1(3(z0))))))))))))), 0'(1(0(3(0(1(0(0(2(1(1(3(z0)))))))))))), 1'(0(3(0(1(0(0(2(1(1(3(z0))))))))))), 0'(3(0(1(0(0(2(1(1(3(z0)))))))))), 3'(0(1(0(0(2(1(1(3(z0))))))))), 0'(1(0(0(2(1(1(3(z0)))))))), 1'(0(0(2(1(1(3(z0))))))), 0'(0(2(1(1(3(z0)))))), 0'(2(1(1(3(z0))))), 2'(1(1(3(z0)))), 1'(1(3(z0))), 1'(3(z0)), 3'(z0))
   0'(c_2(c_3(c_3(c_1(c_0(c_3(c_0(c_0(c_0(c_2(c_0(c_1(c_3(c_1(c_3(c_3(c_0(z0)))))))))))))))))) -> c13(0'(3(0(3(3(2(3(2(3(0(0(0(0(1(1(1(3(0(z0)))))))))))))))))), 3'(0(3(3(2(3(2(3(0(0(0(0(1(1(1(3(0(z0))))))))))))))))), 0'(3(3(2(3(2(3(0(0(0(0(1(1(1(3(0(z0)))))))))))))))), 3'(3(2(3(2(3(0(0(0(0(1(1(1(3(0(z0))))))))))))))), 3'(2(3(2(3(0(0(0(0(1(1(1(3(0(z0)))))))))))))), 2'(3(2(3(0(0(0(0(1(1(1(3(0(z0))))))))))))), 3'(2(3(0(0(0(0(1(1(1(3(0(z0)))))))))))), 2'(3(0(0(0(0(1(1(1(3(0(z0))))))))))), 3'(0(0(0(0(1(1(1(3(0(z0)))))))))), 0'(0(0(0(1(1(1(3(0(z0))))))))), 0'(0(0(1(1(1(3(0(z0)))))))), 0'(0(1(1(1(3(0(z0))))))), 0'(1(1(1(3(0(z0)))))), 1'(1(1(3(0(z0))))), 1'(1(3(0(z0)))), 1'(3(0(z0))), 3'(0(z0)), 0'(z0))
   0'(c_0(c_1(c_3(c_1(c_0(c_3(c_1(c_1(c_3(c_1(c_2(c_3(c_1(c_2(c_2(c_1(c_1(z0)))))))))))))))))) -> c14(0'(3(0(2(1(0(3(2(1(1(2(1(3(1(3(1(1(1(z0)))))))))))))))))), 3'(0(2(1(0(3(2(1(1(2(1(3(1(3(1(1(1(z0))))))))))))))))), 0'(2(1(0(3(2(1(1(2(1(3(1(3(1(1(1(z0)))))))))))))))), 2'(1(0(3(2(1(1(2(1(3(1(3(1(1(1(z0))))))))))))))), 1'(0(3(2(1(1(2(1(3(1(3(1(1(1(z0)))))))))))))), 0'(3(2(1(1(2(1(3(1(3(1(1(1(z0))))))))))))), 3'(2(1(1(2(1(3(1(3(1(1(1(z0)))))))))))), 2'(1(1(2(1(3(1(3(1(1(1(z0))))))))))), 1'(1(2(1(3(1(3(1(1(1(z0)))))))))), 1'(2(1(3(1(3(1(1(1(z0))))))))), 2'(1(3(1(3(1(1(1(z0)))))))), 1'(3(1(3(1(1(1(z0))))))), 3'(1(3(1(1(1(z0)))))), 1'(3(1(1(1(z0))))), 3'(1(1(1(z0)))), 1'(1(1(z0))), 1'(1(z0)), 1'(z0))
   0'(c_0(c_3(c_2(c_1(c_3(c_1(c_3(c_3(c_0(c_1(c_2(c_0(c_0(c_0(c_2(c_0(c_2(z0)))))))))))))))))) -> c15(0'(3(0(0(2(1(3(1(2(3(2(1(0(0(0(3(2(0(z0)))))))))))))))))), 3'(0(0(2(1(3(1(2(3(2(1(0(0(0(3(2(0(z0))))))))))))))))), 0'(0(2(1(3(1(2(3(2(1(0(0(0(3(2(0(z0)))))))))))))))), 0'(2(1(3(1(2(3(2(1(0(0(0(3(2(0(z0))))))))))))))), 2'(1(3(1(2(3(2(1(0(0(0(3(2(0(z0)))))))))))))), 1'(3(1(2(3(2(1(0(0(0(3(2(0(z0))))))))))))), 3'(1(2(3(2(1(0(0(0(3(2(0(z0)))))))))))), 1'(2(3(2(1(0(0(0(3(2(0(z0))))))))))), 2'(3(2(1(0(0(0(3(2(0(z0)))))))))), 3'(2(1(0(0(0(3(2(0(z0))))))))), 2'(1(0(0(0(3(2(0(z0)))))))), 1'(0(0(0(3(2(0(z0))))))), 0'(0(0(3(2(0(z0)))))), 0'(0(3(2(0(z0))))), 0'(3(2(0(z0)))), 3'(2(0(z0))), 2'(0(z0)), 0'(z0))
   0'(c_3(c_3(c_3(c_1(c_2(c_0(c_0(c_3(c_2(c_0(c_1(c_2(c_1(c_3(c_0(c_2(c_0(z0)))))))))))))))))) -> c16(0'(2(1(0(1(0(1(0(0(3(3(2(3(0(2(3(2(3(z0)))))))))))))))))), 2'(1(0(1(0(1(0(0(3(3(2(3(0(2(3(2(3(z0))))))))))))))))), 1'(0(1(0(1(0(0(3(3(2(3(0(2(3(2(3(z0)))))))))))))))), 0'(1(0(1(0(0(3(3(2(3(0(2(3(2(3(z0))))))))))))))), 1'(0(1(0(0(3(3(2(3(0(2(3(2(3(z0)))))))))))))), 0'(1(0(0(3(3(2(3(0(2(3(2(3(z0))))))))))))), 1'(0(0(3(3(2(3(0(2(3(2(3(z0)))))))))))), 0'(0(3(3(2(3(0(2(3(2(3(z0))))))))))), 0'(3(3(2(3(0(2(3(2(3(z0)))))))))), 3'(3(2(3(0(2(3(2(3(z0))))))))), 3'(2(3(0(2(3(2(3(z0)))))))), 2'(3(0(2(3(2(3(z0))))))), 3'(0(2(3(2(3(z0)))))), 0'(2(3(2(3(z0))))), 2'(3(2(3(z0)))), 3'(2(3(z0))), 2'(3(z0)), 3'(z0))
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   3'(c_0(c_1(c_2(c_2(c_3(c_0(c_1(c_2(c_1(c_3(c_1(c_3(c_3(c_3(c_1(c_1(c_3(z0)))))))))))))))))) -> c85(0'(2(1(3(3(3(2(1(1(0(1(3(3(2(1(1(3(3(z0)))))))))))))))))), 2'(1(3(3(3(2(1(1(0(1(3(3(2(1(1(3(3(z0))))))))))))))))), 1'(3(3(3(2(1(1(0(1(3(3(2(1(1(3(3(z0)))))))))))))))), 3'(3(3(2(1(1(0(1(3(3(2(1(1(3(3(z0))))))))))))))), 3'(3(2(1(1(0(1(3(3(2(1(1(3(3(z0)))))))))))))), 3'(2(1(1(0(1(3(3(2(1(1(3(3(z0))))))))))))), 2'(1(1(0(1(3(3(2(1(1(3(3(z0)))))))))))), 1'(1(0(1(3(3(2(1(1(3(3(z0))))))))))), 1'(0(1(3(3(2(1(1(3(3(z0)))))))))), 0'(1(3(3(2(1(1(3(3(z0))))))))), 1'(3(3(2(1(1(3(3(z0)))))))), 3'(3(2(1(1(3(3(z0))))))), 3'(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_2(c_0(c_3(c_1(c_1(c_3(c_2(c_1(c_3(c_0(c_2(c_0(c_2(c_1(c_1(c_3(z0)))))))))))))))))) -> c86(1'(3(3(2(0(0(0(1(3(3(2(0(1(1(2(1(2(3(z0)))))))))))))))))), 3'(3(2(0(0(0(1(3(3(2(0(1(1(2(1(2(3(z0))))))))))))))))), 3'(2(0(0(0(1(3(3(2(0(1(1(2(1(2(3(z0)))))))))))))))), 2'(0(0(0(1(3(3(2(0(1(1(2(1(2(3(z0))))))))))))))), 0'(0(0(1(3(3(2(0(1(1(2(1(2(3(z0)))))))))))))), 0'(0(1(3(3(2(0(1(1(2(1(2(3(z0))))))))))))), 0'(1(3(3(2(0(1(1(2(1(2(3(z0)))))))))))), 1'(3(3(2(0(1(1(2(1(2(3(z0))))))))))), 3'(3(2(0(1(1(2(1(2(3(z0)))))))))), 3'(2(0(1(1(2(1(2(3(z0))))))))), 2'(0(1(1(2(1(2(3(z0)))))))), 0'(1(1(2(1(2(3(z0))))))), 1'(1(2(1(2(3(z0)))))), 1'(2(1(2(3(z0))))), 2'(1(2(3(z0)))), 1'(2(3(z0))), 2'(3(z0)), 3'(z0))
   3'(c_3(c_0(c_3(c_0(c_0(c_2(c_3(c_0(c_2(c_3(c_3(c_1(c_2(c_2(c_2(c_2(c_0(z0)))))))))))))))))) -> c87(3'(3(0(0(3(2(3(2(0(0(0(2(3(2(1(2(3(2(z0)))))))))))))))))), 3'(0(0(3(2(3(2(0(0(0(2(3(2(1(2(3(2(z0))))))))))))))))), 0'(0(3(2(3(2(0(0(0(2(3(2(1(2(3(2(z0)))))))))))))))), 0'(3(2(3(2(0(0(0(2(3(2(1(2(3(2(z0))))))))))))))), 3'(2(3(2(0(0(0(2(3(2(1(2(3(2(z0)))))))))))))), 2'(3(2(0(0(0(2(3(2(1(2(3(2(z0))))))))))))), 3'(2(0(0(0(2(3(2(1(2(3(2(z0)))))))))))), 2'(0(0(0(2(3(2(1(2(3(2(z0))))))))))), 0'(0(0(2(3(2(1(2(3(2(z0)))))))))), 0'(0(2(3(2(1(2(3(2(z0))))))))), 0'(2(3(2(1(2(3(2(z0)))))))), 2'(3(2(1(2(3(2(z0))))))), 3'(2(1(2(3(2(z0)))))), 2'(1(2(3(2(z0))))), 1'(2(3(2(z0)))), 2'(3(2(z0))), 3'(2(z0)), 2'(z0))
   3'(c_3(c_3(c_3(c_3(c_0(c_3(c_1(c_1(c_3(c_2(c_1(c_1(c_3(c_2(c_2(c_0(c_2(z0)))))))))))))))))) -> c88(3'(3(1(0(1(2(3(2(0(1(1(3(3(3(3(2(3(2(z0)))))))))))))))))), 3'(1(0(1(2(3(2(0(1(1(3(3(3(3(2(3(2(z0))))))))))))))))), 1'(0(1(2(3(2(0(1(1(3(3(3(3(2(3(2(z0)))))))))))))))), 0'(1(2(3(2(0(1(1(3(3(3(3(2(3(2(z0))))))))))))))), 1'(2(3(2(0(1(1(3(3(3(3(2(3(2(z0)))))))))))))), 2'(3(2(0(1(1(3(3(3(3(2(3(2(z0))))))))))))), 3'(2(0(1(1(3(3(3(3(2(3(2(z0)))))))))))), 2'(0(1(1(3(3(3(3(2(3(2(z0))))))))))), 0'(1(1(3(3(3(3(2(3(2(z0)))))))))), 1'(1(3(3(3(3(2(3(2(z0))))))))), 1'(3(3(3(3(2(3(2(z0)))))))), 3'(3(3(3(2(3(2(z0))))))), 3'(3(3(2(3(2(z0)))))), 3'(3(2(3(2(z0))))), 3'(2(3(2(z0)))), 2'(3(2(z0))), 3'(2(z0)), 2'(z0))
   3'(c_2(c_2(c_3(c_0(c_0(c_3(c_0(c_0(c_2(c_3(c_0(c_1(c_1(c_1(c_1(c_3(c_0(z0)))))))))))))))))) -> c89(3'(2(0(3(2(3(0(1(0(1(1(0(3(1(3(0(2(0(z0)))))))))))))))))), 2'(0(3(2(3(0(1(0(1(1(0(3(1(3(0(2(0(z0))))))))))))))))), 0'(3(2(3(0(1(0(1(1(0(3(1(3(0(2(0(z0)))))))))))))))), 3'(2(3(0(1(0(1(1(0(3(1(3(0(2(0(z0))))))))))))))), 2'(3(0(1(0(1(1(0(3(1(3(0(2(0(z0)))))))))))))), 3'(0(1(0(1(1(0(3(1(3(0(2(0(z0))))))))))))), 0'(1(0(1(1(0(3(1(3(0(2(0(z0)))))))))))), 1'(0(1(1(0(3(1(3(0(2(0(z0))))))))))), 0'(1(1(0(3(1(3(0(2(0(z0)))))))))), 1'(1(0(3(1(3(0(2(0(z0))))))))), 1'(0(3(1(3(0(2(0(z0)))))))), 0'(3(1(3(0(2(0(z0))))))), 3'(1(3(0(2(0(z0)))))), 1'(3(0(2(0(z0))))), 3'(0(2(0(z0)))), 0'(2(0(z0))), 2'(0(z0)), 0'(z0))
   3'(c_1(c_3(c_1(c_1(c_3(c_3(c_3(c_2(c_1(c_2(c_3(c_0(c_2(c_1(c_2(c_3(c_0(z0)))))))))))))))))) -> c90(3'(3(3(2(0(1(3(2(0(1(3(3(1(2(1(1(2(3(z0)))))))))))))))))), 3'(3(2(0(1(3(2(0(1(3(3(1(2(1(1(2(3(z0))))))))))))))))), 3'(2(0(1(3(2(0(1(3(3(1(2(1(1(2(3(z0)))))))))))))))), 2'(0(1(3(2(0(1(3(3(1(2(1(1(2(3(z0))))))))))))))), 0'(1(3(2(0(1(3(3(1(2(1(1(2(3(z0)))))))))))))), 1'(3(2(0(1(3(3(1(2(1(1(2(3(z0))))))))))))), 3'(2(0(1(3(3(1(2(1(1(2(3(z0)))))))))))), 2'(0(1(3(3(1(2(1(1(2(3(z0))))))))))), 0'(1(3(3(1(2(1(1(2(3(z0)))))))))), 1'(3(3(1(2(1(1(2(3(z0))))))))), 3'(3(1(2(1(1(2(3(z0)))))))), 3'(1(2(1(1(2(3(z0))))))), 1'(2(1(1(2(3(z0)))))), 2'(1(1(2(3(z0))))), 1'(1(2(3(z0)))), 1'(2(3(z0))), 2'(3(z0)), 3'(z0))
   3'(c_0(c_2(c_2(c_0(c_0(c_1(c_2(c_3(c_0(c_0(c_1(c_1(c_2(c_0(c_1(c_2(c_2(z0)))))))))))))))))) -> c91(2'(3(0(2(3(1(1(0(2(0(2(1(1(0(0(2(0(2(z0)))))))))))))))))), 3'(0(2(3(1(1(0(2(0(2(1(1(0(0(2(0(2(z0))))))))))))))))), 0'(2(3(1(1(0(2(0(2(1(1(0(0(2(0(2(z0)))))))))))))))), 2'(3(1(1(0(2(0(2(1(1(0(0(2(0(2(z0))))))))))))))), 3'(1(1(0(2(0(2(1(1(0(0(2(0(2(z0)))))))))))))), 1'(1(0(2(0(2(1(1(0(0(2(0(2(z0))))))))))))), 1'(0(2(0(2(1(1(0(0(2(0(2(z0)))))))))))), 0'(2(0(2(1(1(0(0(2(0(2(z0))))))))))), 2'(0(2(1(1(0(0(2(0(2(z0)))))))))), 0'(2(1(1(0(0(2(0(2(z0))))))))), 2'(1(1(0(0(2(0(2(z0)))))))), 1'(1(0(0(2(0(2(z0))))))), 1'(0(0(2(0(2(z0)))))), 0'(0(2(0(2(z0))))), 0'(2(0(2(z0)))), 2'(0(2(z0))), 0'(2(z0)), 2'(z0))
K tuples:none
Defined Rule Symbols:   0_1, 2_1, 3_1, 1_1, encArg_1, encode_0_1, encode_3_1, encode_1_1, encode_2_1

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

Compound Symbols:   c_2, c1_2, c2_2, c3_2, c9_18, c10_18, c11_18, c12_18, c13_18, c14_18, c15_18, c16_18, c17_18, c18_18, c19_18, c20_18, c21_18, c22_18, c23_18, c24_18, c25_18, c26_18, c27_18, c28_18, c29_18, c30_18, c31_18, c33_18, c34_18, c35_18, c36_18, c37_18, c38_18, c39_18, c40_18, c41_18, c42_18, c43_18, c44_18, c45_18, c46_18, c47_18, c48_18, c49_18, c50_18, c51_18, c52_18, c53_18, c55_18, c56_18, c57_18, c58_18, c59_18, c60_18, c61_18, c62_18, c63_18, c64_18, c65_18, c66_18, c67_18, c68_18, c69_18, c70_18, c71_18, c72_18, c73_18, c75_18, c76_18, c77_18, c78_18, c79_18, c80_18, c81_18, c82_18, c83_18, c84_18, c85_18, c86_18, c87_18, c88_18, c89_18, c90_18, c91_18, c8_1


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

(43) CdtLeafRemovalProof (ComplexityIfPolyImplication)
Removed 4 leading nodes:
   ENCODE_0(z0) -> c8(ENCARG(z0))
   ENCODE_3(z0) -> c8(ENCARG(z0))
   ENCODE_1(z0) -> c8(ENCARG(z0))
   ENCODE_2(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_3(z0) -> 3(encArg(z0))
   encode_1(z0) -> 1(encArg(z0))
   encode_2(z0) -> 2(encArg(z0))
   0(z0) -> c_0(z0)
   0(c_0(c_0(c_1(c_0(c_0(c_0(c_2(c_1(c_1(c_2(c_0(c_1(c_0(c_1(c_2(c_0(c_0(z0)))))))))))))))))) -> 0(1(0(1(1(0(0(2(1(1(0(0(2(0(2(0(0(0(z0))))))))))))))))))
   0(c_0(c_1(c_3(c_2(c_1(c_0(c_0(c_3(c_2(c_3(c_1(c_3(c_0(c_0(c_2(c_0(c_0(z0)))))))))))))))))) -> 0(0(2(3(2(0(1(0(2(1(0(1(0(3(0(3(0(3(z0))))))))))))))))))
   0(c_3(c_1(c_2(c_3(c_1(c_0(c_3(c_3(c_3(c_1(c_3(c_0(c_3(c_2(c_2(c_1(c_2(z0)))))))))))))))))) -> 1(0(3(1(0(3(3(3(3(2(3(2(3(2(0(2(1(1(z0))))))))))))))))))
   0(c_0(c_3(c_0(c_3(c_1(c_2(c_0(c_3(c_0(c_3(c_1(c_0(c_0(c_1(c_0(c_1(c_3(z0)))))))))))))))))) -> 0(3(0(0(3(3(0(1(0(3(0(1(0(0(2(1(1(3(z0))))))))))))))))))
   0(c_2(c_3(c_3(c_1(c_0(c_3(c_0(c_0(c_0(c_2(c_0(c_1(c_3(c_1(c_3(c_3(c_0(z0)))))))))))))))))) -> 0(3(0(3(3(2(3(2(3(0(0(0(0(1(1(1(3(0(z0))))))))))))))))))
   0(c_0(c_1(c_3(c_1(c_0(c_3(c_1(c_1(c_3(c_1(c_2(c_3(c_1(c_2(c_2(c_1(c_1(z0)))))))))))))))))) -> 0(3(0(2(1(0(3(2(1(1(2(1(3(1(3(1(1(1(z0))))))))))))))))))
   0(c_0(c_3(c_2(c_1(c_3(c_1(c_3(c_3(c_0(c_1(c_2(c_0(c_0(c_0(c_2(c_0(c_2(z0)))))))))))))))))) -> 0(3(0(0(2(1(3(1(2(3(2(1(0(0(0(3(2(0(z0))))))))))))))))))
   0(c_3(c_3(c_3(c_1(c_2(c_0(c_0(c_3(c_2(c_0(c_1(c_2(c_1(c_3(c_0(c_2(c_0(z0)))))))))))))))))) -> 0(2(1(0(1(0(1(0(0(3(3(2(3(0(2(3(2(3(z0))))))))))))))))))
   0(c_0(c_1(c_2(c_0(c_0(c_3(c_3(c_2(c_1(c_3(c_3(c_3(c_1(c_1(c_1(c_1(c_2(z0)))))))))))))))))) -> 0(0(3(3(1(0(2(3(2(1(1(3(1(1(1(3(2(0(z0))))))))))))))))))
   0(c_0(c_1(c_1(c_1(c_3(c_2(c_2(c_2(c_1(c_3(c_2(c_3(c_0(c_0(c_0(c_0(c_0(z0)))))))))))))))))) -> 1(0(0(3(2(0(1(3(2(0(0(2(3(1(0(2(1(0(z0))))))))))))))))))
   0(c_3(c_0(c_3(c_2(c_2(c_0(c_3(c_3(c_1(c_0(c_0(c_3(c_0(c_3(c_0(c_1(c_0(z0)))))))))))))))))) -> 0(3(0(0(3(3(3(2(1(3(2(0(0(1(3(0(0(0(z0))))))))))))))))))
   0(c_0(c_0(c_3(c_0(c_3(c_0(c_1(c_2(c_1(c_0(c_0(c_0(c_1(c_2(c_3(c_3(c_3(z0)))))))))))))))))) -> 0(0(0(2(3(0(0(0(0(1(1(3(1(0(2(3(3(3(z0))))))))))))))))))
   0(c_0(c_3(c_0(c_3(c_3(c_3(c_1(c_1(c_1(c_3(c_1(c_1(c_2(c_1(c_2(c_3(c_0(z0)))))))))))))))))) -> 0(3(3(1(2(1(3(0(3(3(2(0(1(1(0(1(1(3(z0))))))))))))))))))
   0(c_0(c_1(c_0(c_1(c_1(c_1(c_0(c_2(c_2(c_3(c_3(c_1(c_3(c_0(c_2(c_1(c_0(z0)))))))))))))))))) -> 0(0(1(1(1(3(3(3(2(1(1(0(0(1(2(0(2(0(z0))))))))))))))))))
   0(c_0(c_0(c_0(c_3(c_0(c_3(c_1(c_3(c_1(c_2(c_2(c_1(c_3(c_1(c_0(c_0(c_2(z0)))))))))))))))))) -> 0(0(3(3(2(1(3(0(0(1(1(2(0(0(1(0(2(3(z0))))))))))))))))))
   0(c_0(c_1(c_2(c_0(c_1(c_0(c_1(c_1(c_0(c_1(c_2(c_2(c_3(c_3(c_1(c_2(c_2(z0)))))))))))))))))) -> 0(2(0(1(2(3(1(1(0(0(2(3(2(1(1(1(0(2(z0))))))))))))))))))
   0(c_2(c_2(c_3(c_2(c_3(c_2(c_2(c_2(c_2(c_2(c_3(c_3(c_0(c_0(c_0(c_0(c_3(z0)))))))))))))))))) -> 0(2(0(3(2(2(0(3(3(3(2(2(2(0(2(0(2(3(z0))))))))))))))))))
   0(c_0(c_2(c_3(c_3(c_3(c_0(c_0(c_1(c_1(c_2(c_2(c_0(c_3(c_2(c_3(c_3(c_0(z0)))))))))))))))))) -> 0(3(0(2(3(0(1(3(3(2(0(0(3(3(2(1(2(0(z0))))))))))))))))))
   0(c_1(c_3(c_0(c_1(c_0(c_1(c_1(c_2(c_2(c_2(c_3(c_3(c_0(c_3(c_0(c_0(c_0(z0)))))))))))))))))) -> 0(2(1(0(0(3(2(0(0(3(3(3(1(1(0(1(2(0(z0))))))))))))))))))
   0(c_1(c_2(c_3(c_0(c_2(c_1(c_2(c_3(c_0(c_0(c_3(c_0(c_1(c_0(c_1(c_3(c_0(z0)))))))))))))))))) -> 0(2(0(0(0(2(3(3(1(1(3(2(0(3(0(0(1(1(z0))))))))))))))))))
   0(c_0(c_3(c_0(c_2(c_0(c_1(c_1(c_3(c_1(c_0(c_2(c_0(c_0(c_0(c_2(c_1(c_1(z0)))))))))))))))))) -> 0(3(1(0(3(2(0(1(0(1(0(0(2(0(1(2(0(1(z0))))))))))))))))))
   0(c_0(c_3(c_3(c_1(c_2(c_3(c_0(c_2(c_3(c_3(c_3(c_0(c_0(c_3(c_2(c_2(c_3(z0)))))))))))))))))) -> 3(0(3(3(2(0(2(3(2(0(3(1(3(3(2(0(0(3(z0))))))))))))))))))
   0(c_0(c_2(c_2(c_1(c_1(c_3(c_0(c_2(c_2(c_2(c_2(c_0(c_3(c_3(c_0(c_1(c_0(z0)))))))))))))))))) -> 0(2(2(1(1(0(2(3(0(0(2(0(2(1(3(2(3(0(z0))))))))))))))))))
   1(z0) -> c_1(z0)
   1(c_3(c_0(c_3(c_3(c_0(c_2(c_3(c_1(c_0(c_0(c_0(c_3(c_2(c_1(c_2(c_3(c_3(z0)))))))))))))))))) -> 1(3(0(2(0(0(3(1(0(2(1(0(2(3(3(3(3(3(z0))))))))))))))))))
   1(c_2(c_1(c_2(c_2(c_0(c_1(c_3(c_0(c_2(c_3(c_2(c_2(c_3(c_2(c_3(c_3(c_0(z0)))))))))))))))))) -> 1(2(0(3(0(2(2(1(3(3(2(2(2(3(3(2(1(0(z0))))))))))))))))))
   1(c_2(c_0(c_0(c_1(c_1(c_0(c_1(c_2(c_0(c_1(c_1(c_2(c_0(c_0(c_3(c_3(c_1(z0)))))))))))))))))) -> 1(1(1(0(1(0(1(0(1(0(0(2(0(1(3(3(2(2(z0))))))))))))))))))
   1(c_0(c_0(c_0(c_3(c_0(c_0(c_1(c_3(c_1(c_2(c_1(c_2(c_2(c_1(c_2(c_3(c_1(z0)))))))))))))))))) -> 1(3(0(0(0(3(2(1(2(1(0(0(1(3(2(2(1(1(z0))))))))))))))))))
   1(c_0(c_2(c_3(c_1(c_3(c_2(c_2(c_3(c_1(c_2(c_0(c_1(c_0(c_3(c_0(c_0(c_0(z0)))))))))))))))))) -> 1(0(3(3(2(1(3(2(3(0(1(2(0(0(2(1(0(0(z0))))))))))))))))))
   1(c_3(c_1(c_2(c_2(c_2(c_0(c_3(c_3(c_2(c_1(c_0(c_3(c_3(c_0(c_0(c_3(c_0(z0)))))))))))))))))) -> 1(3(2(3(0(2(3(3(3(0(0(2(0(1(3(2(1(0(z0))))))))))))))))))
   1(c_2(c_1(c_3(c_1(c_1(c_3(c_0(c_3(c_1(c_1(c_1(c_1(c_1(c_3(c_0(c_1(c_3(z0)))))))))))))))))) -> 1(0(1(1(0(3(1(3(3(1(1(3(2(1(1(1(1(3(z0))))))))))))))))))
   1(c_3(c_1(c_1(c_1(c_2(c_0(c_2(c_1(c_2(c_0(c_3(c_3(c_1(c_2(c_2(c_3(c_1(z0)))))))))))))))))) -> 1(2(1(2(1(2(2(1(1(1(1(0(3(3(3(0(3(2(z0))))))))))))))))))
   1(c_3(c_0(c_0(c_1(c_2(c_3(c_3(c_2(c_3(c_1(c_1(c_3(c_1(c_0(c_3(c_1(c_2(z0)))))))))))))))))) -> 1(1(2(3(3(3(3(1(1(0(2(0(1(3(3(2(0(1(z0))))))))))))))))))
   1(c_1(c_1(c_2(c_1(c_2(c_3(c_0(c_0(c_2(c_3(c_0(c_3(c_1(c_3(c_2(c_0(c_2(z0)))))))))))))))))) -> 1(1(1(3(0(2(0(2(0(2(3(2(0(3(3(1(1(2(z0))))))))))))))))))
   1(c_0(c_3(c_3(c_3(c_0(c_2(c_3(c_0(c_2(c_1(c_1(c_0(c_3(c_3(c_1(c_3(c_1(z0)))))))))))))))))) -> 1(3(3(1(1(1(0(3(0(0(3(3(3(2(3(2(0(1(z0))))))))))))))))))
   1(c_2(c_2(c_3(c_2(c_1(c_3(c_0(c_3(c_1(c_3(c_3(c_1(c_3(c_0(c_3(c_3(c_3(z0)))))))))))))))))) -> 1(3(3(1(1(2(0(3(3(2(3(1(3(2(0(3(3(3(z0))))))))))))))))))
   1(c_2(c_1(c_2(c_3(c_0(c_3(c_0(c_2(c_2(c_0(c_2(c_3(c_2(c_0(c_1(c_1(c_2(z0)))))))))))))))))) -> 1(0(1(3(2(2(0(2(1(2(1(3(2(0(2(3(0(2(z0))))))))))))))))))
   1(c_2(c_2(c_3(c_3(c_0(c_1(c_2(c_1(c_0(c_3(c_1(c_2(c_3(c_1(c_1(c_2(c_2(z0)))))))))))))))))) -> 1(3(3(2(3(3(1(2(2(0(1(2(2(2(1(1(1(0(z0))))))))))))))))))
   1(c_3(c_3(c_0(c_3(c_1(c_0(c_1(c_3(c_1(c_2(c_2(c_0(c_3(c_1(c_1(c_0(c_0(z0)))))))))))))))))) -> 1(3(2(0(3(0(0(0(3(2(1(3(1(1(1(1(3(0(z0))))))))))))))))))
   1(c_1(c_2(c_1(c_3(c_0(c_2(c_1(c_0(c_0(c_3(c_0(c_1(c_2(c_2(c_0(c_3(c_3(z0)))))))))))))))))) -> 1(0(3(2(1(0(3(3(1(0(2(2(0(1(0(2(1(3(z0))))))))))))))))))
   1(c_2(c_1(c_0(c_1(c_3(c_0(c_3(c_3(c_1(c_3(c_1(c_2(c_2(c_3(c_0(c_2(c_0(z0)))))))))))))))))) -> 1(1(3(3(2(0(0(3(2(1(2(3(3(2(0(1(1(0(z0))))))))))))))))))
   1(c_0(c_3(c_0(c_2(c_3(c_0(c_3(c_1(c_3(c_1(c_1(c_2(c_0(c_3(c_0(c_3(c_0(z0)))))))))))))))))) -> 1(0(1(0(2(3(0(3(0(3(0(3(3(1(0(2(1(3(z0))))))))))))))))))
   1(c_2(c_3(c_1(c_3(c_0(c_1(c_1(c_3(c_1(c_3(c_1(c_2(c_0(c_3(c_2(c_3(c_0(z0)))))))))))))))))) -> 1(1(3(2(1(3(3(0(2(0(3(3(1(1(3(2(0(1(z0))))))))))))))))))
   1(c_1(c_2(c_3(c_3(c_1(c_0(c_0(c_3(c_1(c_3(c_3(c_3(c_0(c_0(c_1(c_3(c_1(z0)))))))))))))))))) -> 1(3(0(2(3(3(3(1(1(0(3(3(3(0(1(1(0(1(z0))))))))))))))))))
   1(c_3(c_1(c_2(c_0(c_1(c_2(c_0(c_0(c_1(c_0(c_0(c_2(c_3(c_0(c_1(c_1(c_2(z0)))))))))))))))))) -> 1(3(2(2(0(2(1(0(1(0(0(1(2(0(1(1(3(0(z0))))))))))))))))))
   2(z0) -> c_2(z0)
   2(c_3(c_1(c_1(c_2(c_0(c_2(c_0(c_3(c_2(c_2(c_3(c_1(c_2(c_2(c_3(c_0(c_0(z0)))))))))))))))))) -> 2(2(2(2(1(3(0(2(0(3(2(1(0(1(0(3(2(3(z0))))))))))))))))))
   2(c_2(c_0(c_2(c_3(c_3(c_2(c_2(c_0(c_3(c_1(c_0(c_0(c_2(c_2(c_3(c_0(c_0(z0)))))))))))))))))) -> 2(2(0(0(3(3(2(3(2(3(2(0(2(0(0(0(1(2(z0))))))))))))))))))
   2(c_2(c_3(c_3(c_1(c_2(c_3(c_2(c_1(c_2(c_1(c_3(c_2(c_2(c_1(c_1(c_2(c_1(z0)))))))))))))))))) -> 2(1(1(1(2(2(3(2(3(3(3(2(1(2(1(2(2(1(z0))))))))))))))))))
   2(c_3(c_0(c_0(c_3(c_0(c_0(c_3(c_0(c_2(c_2(c_2(c_2(c_3(c_2(c_0(c_3(c_0(z0)))))))))))))))))) -> 2(2(3(0(2(0(0(2(0(3(3(2(3(3(2(0(0(0(z0))))))))))))))))))
   2(c_0(c_1(c_1(c_2(c_1(c_1(c_2(c_2(c_1(c_1(c_2(c_1(c_2(c_2(c_0(c_0(c_2(z0)))))))))))))))))) -> 2(0(2(1(2(1(0(2(2(2(1(2(1(0(2(1(1(1(z0))))))))))))))))))
   2(c_2(c_1(c_1(c_3(c_0(c_0(c_3(c_2(c_3(c_1(c_2(c_1(c_0(c_0(c_2(c_1(c_2(z0)))))))))))))))))) -> 2(1(0(0(2(1(0(3(3(2(2(1(1(1(0(3(2(2(z0))))))))))))))))))
   2(c_2(c_3(c_3(c_3(c_3(c_3(c_1(c_2(c_0(c_1(c_1(c_1(c_2(c_3(c_1(c_2(c_1(z0)))))))))))))))))) -> 1(3(3(3(2(0(1(2(1(2(1(3(2(3(3(2(1(1(z0))))))))))))))))))
   2(c_3(c_2(c_3(c_0(c_0(c_0(c_3(c_3(c_2(c_2(c_2(c_2(c_3(c_2(c_2(c_0(c_2(z0)))))))))))))))))) -> 2(3(3(2(3(2(0(2(2(0(0(3(2(0(2(2(3(2(z0))))))))))))))))))
   2(c_2(c_0(c_1(c_2(c_3(c_3(c_0(c_3(c_2(c_2(c_2(c_0(c_3(c_3(c_1(c_1(c_3(z0)))))))))))))))))) -> 2(1(3(2(0(3(3(0(2(1(1(3(2(0(3(2(2(3(z0))))))))))))))))))
   2(c_0(c_0(c_2(c_2(c_0(c_3(c_0(c_1(c_0(c_2(c_3(c_3(c_1(c_2(c_1(c_2(c_2(z0)))))))))))))))))) -> 2(0(1(2(2(3(0(3(3(2(0(1(2(2(1(0(2(0(z0))))))))))))))))))
   2(c_3(c_1(c_1(c_3(c_1(c_0(c_2(c_3(c_0(c_0(c_0(c_2(c_3(c_3(c_2(c_3(c_1(z0)))))))))))))))))) -> 2(3(3(2(0(2(1(0(3(3(0(3(1(0(1(2(3(1(z0))))))))))))))))))
   2(c_2(c_3(c_1(c_1(c_2(c_2(c_0(c_1(c_0(c_1(c_0(c_1(c_0(c_1(c_3(c_1(c_0(z0)))))))))))))))))) -> 2(0(1(0(1(1(0(3(2(1(1(0(2(2(3(1(1(0(z0))))))))))))))))))
   2(c_2(c_3(c_1(c_2(c_2(c_2(c_1(c_2(c_0(c_1(c_3(c_2(c_2(c_3(c_3(c_0(c_0(z0)))))))))))))))))) -> 2(1(2(2(3(3(2(2(0(1(0(2(2(3(1(0(2(3(z0))))))))))))))))))
   2(c_0(c_0(c_3(c_0(c_3(c_1(c_1(c_2(c_2(c_2(c_2(c_3(c_2(c_0(c_0(c_3(c_0(z0)))))))))))))))))) -> 2(0(3(0(1(3(2(2(3(0(1(3(2(2(0(2(0(0(z0))))))))))))))))))
   2(c_0(c_0(c_0(c_0(c_3(c_1(c_2(c_2(c_0(c_3(c_0(c_2(c_0(c_3(c_1(c_3(c_2(z0)))))))))))))))))) -> 2(0(1(0(2(3(2(0(3(3(2(3(0(2(1(0(0(0(z0))))))))))))))))))
   2(c_3(c_0(c_0(c_0(c_2(c_0(c_0(c_1(c_3(c_3(c_1(c_2(c_2(c_2(c_2(c_2(c_2(z0)))))))))))))))))) -> 2(1(2(2(3(0(0(3(0(3(2(0(0(2(2(1(2(2(z0))))))))))))))))))
   2(c_0(c_0(c_3(c_1(c_2(c_1(c_3(c_0(c_2(c_2(c_2(c_1(c_2(c_2(c_2(c_3(c_1(z0)))))))))))))))))) -> 2(1(0(3(2(2(1(2(3(2(2(0(3(2(2(0(1(1(z0))))))))))))))))))
   2(c_1(c_2(c_0(c_2(c_1(c_3(c_0(c_1(c_2(c_1(c_0(c_2(c_1(c_3(c_1(c_2(c_0(z0)))))))))))))))))) -> 2(1(2(3(1(0(1(0(0(2(1(1(3(2(0(2(1(2(z0))))))))))))))))))
   2(c_3(c_0(c_3(c_1(c_1(c_2(c_3(c_1(c_3(c_2(c_0(c_1(c_2(c_2(c_1(c_3(c_0(z0)))))))))))))))))) -> 2(1(1(0(1(2(1(3(3(3(2(2(0(2(1(3(3(0(z0))))))))))))))))))
   3(z0) -> c_3(z0)
   3(c_2(c_1(c_1(c_1(c_3(c_1(c_1(c_2(c_2(c_1(c_2(c_1(c_1(c_2(c_3(c_0(c_1(z0)))))))))))))))))) -> 3(2(1(1(1(1(1(0(3(2(2(2(1(2(3(1(1(1(z0))))))))))))))))))
   3(c_1(c_2(c_1(c_0(c_3(c_1(c_1(c_2(c_2(c_3(c_0(c_2(c_2(c_3(c_0(c_2(c_0(z0)))))))))))))))))) -> 3(1(1(1(2(2(2(0(3(2(0(3(2(3(2(0(0(1(z0))))))))))))))))))
   3(c_3(c_1(c_1(c_3(c_1(c_0(c_1(c_3(c_1(c_2(c_3(c_3(c_3(c_1(c_1(c_3(c_0(z0)))))))))))))))))) -> 3(3(1(0(3(3(1(3(3(3(3(1(1(1(1(2(0(1(z0))))))))))))))))))
   3(c_1(c_3(c_0(c_3(c_0(c_3(c_2(c_2(c_3(c_0(c_2(c_3(c_1(c_2(c_1(c_0(c_2(z0)))))))))))))))))) -> 3(0(2(2(3(2(0(1(3(1(0(2(1(3(3(2(0(3(z0))))))))))))))))))
   3(c_0(c_2(c_0(c_3(c_3(c_0(c_0(c_2(c_2(c_0(c_1(c_0(c_3(c_3(c_1(c_3(c_1(z0)))))))))))))))))) -> 3(0(2(1(0(1(3(3(2(0(0(3(0(3(2(3(1(0(z0))))))))))))))))))
   3(c_3(c_0(c_2(c_1(c_2(c_2(c_0(c_0(c_1(c_3(c_2(c_0(c_0(c_1(c_2(c_3(c_0(z0)))))))))))))))))) -> 0(0(1(1(0(2(2(3(3(2(1(0(0(2(3(3(2(0(z0))))))))))))))))))
   3(c_3(c_0(c_2(c_0(c_2(c_0(c_3(c_3(c_3(c_1(c_0(c_2(c_2(c_2(c_3(c_3(c_0(z0)))))))))))))))))) -> 3(2(2(1(0(3(2(0(0(2(3(3(2(3(3(0(0(3(z0))))))))))))))))))
   3(c_0(c_1(c_0(c_3(c_1(c_2(c_2(c_0(c_1(c_1(c_1(c_3(c_3(c_0(c_2(c_3(c_0(z0)))))))))))))))))) -> 0(3(3(2(1(0(0(2(3(3(1(1(0(1(1(3(2(0(z0))))))))))))))))))
   3(c_1(c_2(c_0(c_1(c_2(c_0(c_3(c_1(c_2(c_1(c_0(c_0(c_2(c_0(c_3(c_0(c_2(z0)))))))))))))))))) -> 3(1(0(2(2(1(3(0(0(2(0(3(2(1(1(0(2(0(z0))))))))))))))))))
   3(c_1(c_3(c_1(c_1(c_3(c_0(c_2(c_0(c_0(c_3(c_0(c_2(c_3(c_1(c_2(c_2(c_2(z0)))))))))))))))))) -> 3(1(3(1(0(3(3(2(1(2(1(2(0(2(3(2(0(0(z0))))))))))))))))))
   3(c_0(c_1(c_2(c_2(c_3(c_0(c_1(c_2(c_1(c_3(c_1(c_3(c_3(c_3(c_1(c_1(c_3(z0)))))))))))))))))) -> 0(2(1(3(3(3(2(1(1(0(1(3(3(2(1(1(3(3(z0))))))))))))))))))
   3(c_0(c_2(c_0(c_3(c_1(c_1(c_3(c_2(c_1(c_3(c_0(c_2(c_0(c_2(c_1(c_1(c_3(z0)))))))))))))))))) -> 1(3(3(2(0(0(0(1(3(3(2(0(1(1(2(1(2(3(z0))))))))))))))))))
   3(c_3(c_0(c_3(c_0(c_0(c_2(c_3(c_0(c_2(c_3(c_3(c_1(c_2(c_2(c_2(c_2(c_0(z0)))))))))))))))))) -> 3(3(0(0(3(2(3(2(0(0(0(2(3(2(1(2(3(2(z0))))))))))))))))))
   3(c_3(c_3(c_3(c_3(c_0(c_3(c_1(c_1(c_3(c_2(c_1(c_1(c_3(c_2(c_2(c_0(c_2(z0)))))))))))))))))) -> 3(3(1(0(1(2(3(2(0(1(1(3(3(3(3(2(3(2(z0))))))))))))))))))
   3(c_2(c_2(c_3(c_0(c_0(c_3(c_0(c_0(c_2(c_3(c_0(c_1(c_1(c_1(c_1(c_3(c_0(z0)))))))))))))))))) -> 3(2(0(3(2(3(0(1(0(1(1(0(3(1(3(0(2(0(z0))))))))))))))))))
   3(c_1(c_3(c_1(c_1(c_3(c_3(c_3(c_2(c_1(c_2(c_3(c_0(c_2(c_1(c_2(c_3(c_0(z0)))))))))))))))))) -> 3(3(3(2(0(1(3(2(0(1(3(3(1(2(1(1(2(3(z0))))))))))))))))))
   3(c_0(c_2(c_2(c_0(c_0(c_1(c_2(c_3(c_0(c_0(c_1(c_1(c_2(c_0(c_1(c_2(c_2(z0)))))))))))))))))) -> 2(3(0(2(3(1(1(0(2(0(2(1(1(0(0(2(0(2(z0))))))))))))))))))
Tuples:
   ENCARG(cons_0(z0)) -> c(0'(encArg(z0)), ENCARG(z0))
   ENCARG(cons_1(z0)) -> c1(1'(encArg(z0)), ENCARG(z0))
   ENCARG(cons_2(z0)) -> c2(2'(encArg(z0)), ENCARG(z0))
   ENCARG(cons_3(z0)) -> c3(3'(encArg(z0)), ENCARG(z0))
   0'(c_0(c_0(c_1(c_0(c_0(c_0(c_2(c_1(c_1(c_2(c_0(c_1(c_0(c_1(c_2(c_0(c_0(z0)))))))))))))))))) -> c9(0'(1(0(1(1(0(0(2(1(1(0(0(2(0(2(0(0(0(z0)))))))))))))))))), 1'(0(1(1(0(0(2(1(1(0(0(2(0(2(0(0(0(z0))))))))))))))))), 0'(1(1(0(0(2(1(1(0(0(2(0(2(0(0(0(z0)))))))))))))))), 1'(1(0(0(2(1(1(0(0(2(0(2(0(0(0(z0))))))))))))))), 1'(0(0(2(1(1(0(0(2(0(2(0(0(0(z0)))))))))))))), 0'(0(2(1(1(0(0(2(0(2(0(0(0(z0))))))))))))), 0'(2(1(1(0(0(2(0(2(0(0(0(z0)))))))))))), 2'(1(1(0(0(2(0(2(0(0(0(z0))))))))))), 1'(1(0(0(2(0(2(0(0(0(z0)))))))))), 1'(0(0(2(0(2(0(0(0(z0))))))))), 0'(0(2(0(2(0(0(0(z0)))))))), 0'(2(0(2(0(0(0(z0))))))), 2'(0(2(0(0(0(z0)))))), 0'(2(0(0(0(z0))))), 2'(0(0(0(z0)))), 0'(0(0(z0))), 0'(0(z0)), 0'(z0))
   0'(c_0(c_1(c_3(c_2(c_1(c_0(c_0(c_3(c_2(c_3(c_1(c_3(c_0(c_0(c_2(c_0(c_0(z0)))))))))))))))))) -> c10(0'(0(2(3(2(0(1(0(2(1(0(1(0(3(0(3(0(3(z0)))))))))))))))))), 0'(2(3(2(0(1(0(2(1(0(1(0(3(0(3(0(3(z0))))))))))))))))), 2'(3(2(0(1(0(2(1(0(1(0(3(0(3(0(3(z0)))))))))))))))), 3'(2(0(1(0(2(1(0(1(0(3(0(3(0(3(z0))))))))))))))), 2'(0(1(0(2(1(0(1(0(3(0(3(0(3(z0)))))))))))))), 0'(1(0(2(1(0(1(0(3(0(3(0(3(z0))))))))))))), 1'(0(2(1(0(1(0(3(0(3(0(3(z0)))))))))))), 0'(2(1(0(1(0(3(0(3(0(3(z0))))))))))), 2'(1(0(1(0(3(0(3(0(3(z0)))))))))), 1'(0(1(0(3(0(3(0(3(z0))))))))), 0'(1(0(3(0(3(0(3(z0)))))))), 1'(0(3(0(3(0(3(z0))))))), 0'(3(0(3(0(3(z0)))))), 3'(0(3(0(3(z0))))), 0'(3(0(3(z0)))), 3'(0(3(z0))), 0'(3(z0)), 3'(z0))
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   3'(c_0(c_2(c_0(c_3(c_3(c_0(c_0(c_2(c_2(c_0(c_1(c_0(c_3(c_3(c_1(c_3(c_1(z0)))))))))))))))))) -> c79(3'(0(2(1(0(1(3(3(2(0(0(3(0(3(2(3(1(0(z0)))))))))))))))))), 0'(2(1(0(1(3(3(2(0(0(3(0(3(2(3(1(0(z0))))))))))))))))), 2'(1(0(1(3(3(2(0(0(3(0(3(2(3(1(0(z0)))))))))))))))), 1'(0(1(3(3(2(0(0(3(0(3(2(3(1(0(z0))))))))))))))), 0'(1(3(3(2(0(0(3(0(3(2(3(1(0(z0)))))))))))))), 1'(3(3(2(0(0(3(0(3(2(3(1(0(z0))))))))))))), 3'(3(2(0(0(3(0(3(2(3(1(0(z0)))))))))))), 3'(2(0(0(3(0(3(2(3(1(0(z0))))))))))), 2'(0(0(3(0(3(2(3(1(0(z0)))))))))), 0'(0(3(0(3(2(3(1(0(z0))))))))), 0'(3(0(3(2(3(1(0(z0)))))))), 3'(0(3(2(3(1(0(z0))))))), 0'(3(2(3(1(0(z0)))))), 3'(2(3(1(0(z0))))), 2'(3(1(0(z0)))), 3'(1(0(z0))), 1'(0(z0)), 0'(z0))
   3'(c_3(c_0(c_2(c_1(c_2(c_2(c_0(c_0(c_1(c_3(c_2(c_0(c_0(c_1(c_2(c_3(c_0(z0)))))))))))))))))) -> c80(0'(0(1(1(0(2(2(3(3(2(1(0(0(2(3(3(2(0(z0)))))))))))))))))), 0'(1(1(0(2(2(3(3(2(1(0(0(2(3(3(2(0(z0))))))))))))))))), 1'(1(0(2(2(3(3(2(1(0(0(2(3(3(2(0(z0)))))))))))))))), 1'(0(2(2(3(3(2(1(0(0(2(3(3(2(0(z0))))))))))))))), 0'(2(2(3(3(2(1(0(0(2(3(3(2(0(z0)))))))))))))), 2'(2(3(3(2(1(0(0(2(3(3(2(0(z0))))))))))))), 2'(3(3(2(1(0(0(2(3(3(2(0(z0)))))))))))), 3'(3(2(1(0(0(2(3(3(2(0(z0))))))))))), 3'(2(1(0(0(2(3(3(2(0(z0)))))))))), 2'(1(0(0(2(3(3(2(0(z0))))))))), 1'(0(0(2(3(3(2(0(z0)))))))), 0'(0(2(3(3(2(0(z0))))))), 0'(2(3(3(2(0(z0)))))), 2'(3(3(2(0(z0))))), 3'(3(2(0(z0)))), 3'(2(0(z0))), 2'(0(z0)), 0'(z0))
   3'(c_3(c_0(c_2(c_0(c_2(c_0(c_3(c_3(c_3(c_1(c_0(c_2(c_2(c_2(c_3(c_3(c_0(z0)))))))))))))))))) -> c81(3'(2(2(1(0(3(2(0(0(2(3(3(2(3(3(0(0(3(z0)))))))))))))))))), 2'(2(1(0(3(2(0(0(2(3(3(2(3(3(0(0(3(z0))))))))))))))))), 2'(1(0(3(2(0(0(2(3(3(2(3(3(0(0(3(z0)))))))))))))))), 1'(0(3(2(0(0(2(3(3(2(3(3(0(0(3(z0))))))))))))))), 0'(3(2(0(0(2(3(3(2(3(3(0(0(3(z0)))))))))))))), 3'(2(0(0(2(3(3(2(3(3(0(0(3(z0))))))))))))), 2'(0(0(2(3(3(2(3(3(0(0(3(z0)))))))))))), 0'(0(2(3(3(2(3(3(0(0(3(z0))))))))))), 0'(2(3(3(2(3(3(0(0(3(z0)))))))))), 2'(3(3(2(3(3(0(0(3(z0))))))))), 3'(3(2(3(3(0(0(3(z0)))))))), 3'(2(3(3(0(0(3(z0))))))), 2'(3(3(0(0(3(z0)))))), 3'(3(0(0(3(z0))))), 3'(0(0(3(z0)))), 0'(0(3(z0))), 0'(3(z0)), 3'(z0))
   3'(c_0(c_1(c_0(c_3(c_1(c_2(c_2(c_0(c_1(c_1(c_1(c_3(c_3(c_0(c_2(c_3(c_0(z0)))))))))))))))))) -> c82(0'(3(3(2(1(0(0(2(3(3(1(1(0(1(1(3(2(0(z0)))))))))))))))))), 3'(3(2(1(0(0(2(3(3(1(1(0(1(1(3(2(0(z0))))))))))))))))), 3'(2(1(0(0(2(3(3(1(1(0(1(1(3(2(0(z0)))))))))))))))), 2'(1(0(0(2(3(3(1(1(0(1(1(3(2(0(z0))))))))))))))), 1'(0(0(2(3(3(1(1(0(1(1(3(2(0(z0)))))))))))))), 0'(0(2(3(3(1(1(0(1(1(3(2(0(z0))))))))))))), 0'(2(3(3(1(1(0(1(1(3(2(0(z0)))))))))))), 2'(3(3(1(1(0(1(1(3(2(0(z0))))))))))), 3'(3(1(1(0(1(1(3(2(0(z0)))))))))), 3'(1(1(0(1(1(3(2(0(z0))))))))), 1'(1(0(1(1(3(2(0(z0)))))))), 1'(0(1(1(3(2(0(z0))))))), 0'(1(1(3(2(0(z0)))))), 1'(1(3(2(0(z0))))), 1'(3(2(0(z0)))), 3'(2(0(z0))), 2'(0(z0)), 0'(z0))
   3'(c_1(c_2(c_0(c_1(c_2(c_0(c_3(c_1(c_2(c_1(c_0(c_0(c_2(c_0(c_3(c_0(c_2(z0)))))))))))))))))) -> c83(3'(1(0(2(2(1(3(0(0(2(0(3(2(1(1(0(2(0(z0)))))))))))))))))), 1'(0(2(2(1(3(0(0(2(0(3(2(1(1(0(2(0(z0))))))))))))))))), 0'(2(2(1(3(0(0(2(0(3(2(1(1(0(2(0(z0)))))))))))))))), 2'(2(1(3(0(0(2(0(3(2(1(1(0(2(0(z0))))))))))))))), 2'(1(3(0(0(2(0(3(2(1(1(0(2(0(z0)))))))))))))), 1'(3(0(0(2(0(3(2(1(1(0(2(0(z0))))))))))))), 3'(0(0(2(0(3(2(1(1(0(2(0(z0)))))))))))), 0'(0(2(0(3(2(1(1(0(2(0(z0))))))))))), 0'(2(0(3(2(1(1(0(2(0(z0)))))))))), 2'(0(3(2(1(1(0(2(0(z0))))))))), 0'(3(2(1(1(0(2(0(z0)))))))), 3'(2(1(1(0(2(0(z0))))))), 2'(1(1(0(2(0(z0)))))), 1'(1(0(2(0(z0))))), 1'(0(2(0(z0)))), 0'(2(0(z0))), 2'(0(z0)), 0'(z0))
   3'(c_1(c_3(c_1(c_1(c_3(c_0(c_2(c_0(c_0(c_3(c_0(c_2(c_3(c_1(c_2(c_2(c_2(z0)))))))))))))))))) -> c84(3'(1(3(1(0(3(3(2(1(2(1(2(0(2(3(2(0(0(z0)))))))))))))))))), 1'(3(1(0(3(3(2(1(2(1(2(0(2(3(2(0(0(z0))))))))))))))))), 3'(1(0(3(3(2(1(2(1(2(0(2(3(2(0(0(z0)))))))))))))))), 1'(0(3(3(2(1(2(1(2(0(2(3(2(0(0(z0))))))))))))))), 0'(3(3(2(1(2(1(2(0(2(3(2(0(0(z0)))))))))))))), 3'(3(2(1(2(1(2(0(2(3(2(0(0(z0))))))))))))), 3'(2(1(2(1(2(0(2(3(2(0(0(z0)))))))))))), 2'(1(2(1(2(0(2(3(2(0(0(z0))))))))))), 1'(2(1(2(0(2(3(2(0(0(z0)))))))))), 2'(1(2(0(2(3(2(0(0(z0))))))))), 1'(2(0(2(3(2(0(0(z0)))))))), 2'(0(2(3(2(0(0(z0))))))), 0'(2(3(2(0(0(z0)))))), 2'(3(2(0(0(z0))))), 3'(2(0(0(z0)))), 2'(0(0(z0))), 0'(0(z0)), 0'(z0))
   3'(c_0(c_1(c_2(c_2(c_3(c_0(c_1(c_2(c_1(c_3(c_1(c_3(c_3(c_3(c_1(c_1(c_3(z0)))))))))))))))))) -> c85(0'(2(1(3(3(3(2(1(1(0(1(3(3(2(1(1(3(3(z0)))))))))))))))))), 2'(1(3(3(3(2(1(1(0(1(3(3(2(1(1(3(3(z0))))))))))))))))), 1'(3(3(3(2(1(1(0(1(3(3(2(1(1(3(3(z0)))))))))))))))), 3'(3(3(2(1(1(0(1(3(3(2(1(1(3(3(z0))))))))))))))), 3'(3(2(1(1(0(1(3(3(2(1(1(3(3(z0)))))))))))))), 3'(2(1(1(0(1(3(3(2(1(1(3(3(z0))))))))))))), 2'(1(1(0(1(3(3(2(1(1(3(3(z0)))))))))))), 1'(1(0(1(3(3(2(1(1(3(3(z0))))))))))), 1'(0(1(3(3(2(1(1(3(3(z0)))))))))), 0'(1(3(3(2(1(1(3(3(z0))))))))), 1'(3(3(2(1(1(3(3(z0)))))))), 3'(3(2(1(1(3(3(z0))))))), 3'(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_2(c_0(c_3(c_1(c_1(c_3(c_2(c_1(c_3(c_0(c_2(c_0(c_2(c_1(c_1(c_3(z0)))))))))))))))))) -> c86(1'(3(3(2(0(0(0(1(3(3(2(0(1(1(2(1(2(3(z0)))))))))))))))))), 3'(3(2(0(0(0(1(3(3(2(0(1(1(2(1(2(3(z0))))))))))))))))), 3'(2(0(0(0(1(3(3(2(0(1(1(2(1(2(3(z0)))))))))))))))), 2'(0(0(0(1(3(3(2(0(1(1(2(1(2(3(z0))))))))))))))), 0'(0(0(1(3(3(2(0(1(1(2(1(2(3(z0)))))))))))))), 0'(0(1(3(3(2(0(1(1(2(1(2(3(z0))))))))))))), 0'(1(3(3(2(0(1(1(2(1(2(3(z0)))))))))))), 1'(3(3(2(0(1(1(2(1(2(3(z0))))))))))), 3'(3(2(0(1(1(2(1(2(3(z0)))))))))), 3'(2(0(1(1(2(1(2(3(z0))))))))), 2'(0(1(1(2(1(2(3(z0)))))))), 0'(1(1(2(1(2(3(z0))))))), 1'(1(2(1(2(3(z0)))))), 1'(2(1(2(3(z0))))), 2'(1(2(3(z0)))), 1'(2(3(z0))), 2'(3(z0)), 3'(z0))
   3'(c_3(c_0(c_3(c_0(c_0(c_2(c_3(c_0(c_2(c_3(c_3(c_1(c_2(c_2(c_2(c_2(c_0(z0)))))))))))))))))) -> c87(3'(3(0(0(3(2(3(2(0(0(0(2(3(2(1(2(3(2(z0)))))))))))))))))), 3'(0(0(3(2(3(2(0(0(0(2(3(2(1(2(3(2(z0))))))))))))))))), 0'(0(3(2(3(2(0(0(0(2(3(2(1(2(3(2(z0)))))))))))))))), 0'(3(2(3(2(0(0(0(2(3(2(1(2(3(2(z0))))))))))))))), 3'(2(3(2(0(0(0(2(3(2(1(2(3(2(z0)))))))))))))), 2'(3(2(0(0(0(2(3(2(1(2(3(2(z0))))))))))))), 3'(2(0(0(0(2(3(2(1(2(3(2(z0)))))))))))), 2'(0(0(0(2(3(2(1(2(3(2(z0))))))))))), 0'(0(0(2(3(2(1(2(3(2(z0)))))))))), 0'(0(2(3(2(1(2(3(2(z0))))))))), 0'(2(3(2(1(2(3(2(z0)))))))), 2'(3(2(1(2(3(2(z0))))))), 3'(2(1(2(3(2(z0)))))), 2'(1(2(3(2(z0))))), 1'(2(3(2(z0)))), 2'(3(2(z0))), 3'(2(z0)), 2'(z0))
   3'(c_3(c_3(c_3(c_3(c_0(c_3(c_1(c_1(c_3(c_2(c_1(c_1(c_3(c_2(c_2(c_0(c_2(z0)))))))))))))))))) -> c88(3'(3(1(0(1(2(3(2(0(1(1(3(3(3(3(2(3(2(z0)))))))))))))))))), 3'(1(0(1(2(3(2(0(1(1(3(3(3(3(2(3(2(z0))))))))))))))))), 1'(0(1(2(3(2(0(1(1(3(3(3(3(2(3(2(z0)))))))))))))))), 0'(1(2(3(2(0(1(1(3(3(3(3(2(3(2(z0))))))))))))))), 1'(2(3(2(0(1(1(3(3(3(3(2(3(2(z0)))))))))))))), 2'(3(2(0(1(1(3(3(3(3(2(3(2(z0))))))))))))), 3'(2(0(1(1(3(3(3(3(2(3(2(z0)))))))))))), 2'(0(1(1(3(3(3(3(2(3(2(z0))))))))))), 0'(1(1(3(3(3(3(2(3(2(z0)))))))))), 1'(1(3(3(3(3(2(3(2(z0))))))))), 1'(3(3(3(3(2(3(2(z0)))))))), 3'(3(3(3(2(3(2(z0))))))), 3'(3(3(2(3(2(z0)))))), 3'(3(2(3(2(z0))))), 3'(2(3(2(z0)))), 2'(3(2(z0))), 3'(2(z0)), 2'(z0))
   3'(c_2(c_2(c_3(c_0(c_0(c_3(c_0(c_0(c_2(c_3(c_0(c_1(c_1(c_1(c_1(c_3(c_0(z0)))))))))))))))))) -> c89(3'(2(0(3(2(3(0(1(0(1(1(0(3(1(3(0(2(0(z0)))))))))))))))))), 2'(0(3(2(3(0(1(0(1(1(0(3(1(3(0(2(0(z0))))))))))))))))), 0'(3(2(3(0(1(0(1(1(0(3(1(3(0(2(0(z0)))))))))))))))), 3'(2(3(0(1(0(1(1(0(3(1(3(0(2(0(z0))))))))))))))), 2'(3(0(1(0(1(1(0(3(1(3(0(2(0(z0)))))))))))))), 3'(0(1(0(1(1(0(3(1(3(0(2(0(z0))))))))))))), 0'(1(0(1(1(0(3(1(3(0(2(0(z0)))))))))))), 1'(0(1(1(0(3(1(3(0(2(0(z0))))))))))), 0'(1(1(0(3(1(3(0(2(0(z0)))))))))), 1'(1(0(3(1(3(0(2(0(z0))))))))), 1'(0(3(1(3(0(2(0(z0)))))))), 0'(3(1(3(0(2(0(z0))))))), 3'(1(3(0(2(0(z0)))))), 1'(3(0(2(0(z0))))), 3'(0(2(0(z0)))), 0'(2(0(z0))), 2'(0(z0)), 0'(z0))
   3'(c_1(c_3(c_1(c_1(c_3(c_3(c_3(c_2(c_1(c_2(c_3(c_0(c_2(c_1(c_2(c_3(c_0(z0)))))))))))))))))) -> c90(3'(3(3(2(0(1(3(2(0(1(3(3(1(2(1(1(2(3(z0)))))))))))))))))), 3'(3(2(0(1(3(2(0(1(3(3(1(2(1(1(2(3(z0))))))))))))))))), 3'(2(0(1(3(2(0(1(3(3(1(2(1(1(2(3(z0)))))))))))))))), 2'(0(1(3(2(0(1(3(3(1(2(1(1(2(3(z0))))))))))))))), 0'(1(3(2(0(1(3(3(1(2(1(1(2(3(z0)))))))))))))), 1'(3(2(0(1(3(3(1(2(1(1(2(3(z0))))))))))))), 3'(2(0(1(3(3(1(2(1(1(2(3(z0)))))))))))), 2'(0(1(3(3(1(2(1(1(2(3(z0))))))))))), 0'(1(3(3(1(2(1(1(2(3(z0)))))))))), 1'(3(3(1(2(1(1(2(3(z0))))))))), 3'(3(1(2(1(1(2(3(z0)))))))), 3'(1(2(1(1(2(3(z0))))))), 1'(2(1(1(2(3(z0)))))), 2'(1(1(2(3(z0))))), 1'(1(2(3(z0)))), 1'(2(3(z0))), 2'(3(z0)), 3'(z0))
   3'(c_0(c_2(c_2(c_0(c_0(c_1(c_2(c_3(c_0(c_0(c_1(c_1(c_2(c_0(c_1(c_2(c_2(z0)))))))))))))))))) -> c91(2'(3(0(2(3(1(1(0(2(0(2(1(1(0(0(2(0(2(z0)))))))))))))))))), 3'(0(2(3(1(1(0(2(0(2(1(1(0(0(2(0(2(z0))))))))))))))))), 0'(2(3(1(1(0(2(0(2(1(1(0(0(2(0(2(z0)))))))))))))))), 2'(3(1(1(0(2(0(2(1(1(0(0(2(0(2(z0))))))))))))))), 3'(1(1(0(2(0(2(1(1(0(0(2(0(2(z0)))))))))))))), 1'(1(0(2(0(2(1(1(0(0(2(0(2(z0))))))))))))), 1'(0(2(0(2(1(1(0(0(2(0(2(z0)))))))))))), 0'(2(0(2(1(1(0(0(2(0(2(z0))))))))))), 2'(0(2(1(1(0(0(2(0(2(z0)))))))))), 0'(2(1(1(0(0(2(0(2(z0))))))))), 2'(1(1(0(0(2(0(2(z0)))))))), 1'(1(0(0(2(0(2(z0))))))), 1'(0(0(2(0(2(z0)))))), 0'(0(2(0(2(z0))))), 0'(2(0(2(z0)))), 2'(0(2(z0))), 0'(2(z0)), 2'(z0))
   ENCODE_0(z0) -> c8(0'(encArg(z0)))
   ENCODE_3(z0) -> c8(3'(encArg(z0)))
   ENCODE_1(z0) -> c8(1'(encArg(z0)))
   ENCODE_2(z0) -> c8(2'(encArg(z0)))
S tuples:
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   3'(c_3(c_0(c_2(c_1(c_2(c_2(c_0(c_0(c_1(c_3(c_2(c_0(c_0(c_1(c_2(c_3(c_0(z0)))))))))))))))))) -> c80(0'(0(1(1(0(2(2(3(3(2(1(0(0(2(3(3(2(0(z0)))))))))))))))))), 0'(1(1(0(2(2(3(3(2(1(0(0(2(3(3(2(0(z0))))))))))))))))), 1'(1(0(2(2(3(3(2(1(0(0(2(3(3(2(0(z0)))))))))))))))), 1'(0(2(2(3(3(2(1(0(0(2(3(3(2(0(z0))))))))))))))), 0'(2(2(3(3(2(1(0(0(2(3(3(2(0(z0)))))))))))))), 2'(2(3(3(2(1(0(0(2(3(3(2(0(z0))))))))))))), 2'(3(3(2(1(0(0(2(3(3(2(0(z0)))))))))))), 3'(3(2(1(0(0(2(3(3(2(0(z0))))))))))), 3'(2(1(0(0(2(3(3(2(0(z0)))))))))), 2'(1(0(0(2(3(3(2(0(z0))))))))), 1'(0(0(2(3(3(2(0(z0)))))))), 0'(0(2(3(3(2(0(z0))))))), 0'(2(3(3(2(0(z0)))))), 2'(3(3(2(0(z0))))), 3'(3(2(0(z0)))), 3'(2(0(z0))), 2'(0(z0)), 0'(z0))
   3'(c_3(c_0(c_2(c_0(c_2(c_0(c_3(c_3(c_3(c_1(c_0(c_2(c_2(c_2(c_3(c_3(c_0(z0)))))))))))))))))) -> c81(3'(2(2(1(0(3(2(0(0(2(3(3(2(3(3(0(0(3(z0)))))))))))))))))), 2'(2(1(0(3(2(0(0(2(3(3(2(3(3(0(0(3(z0))))))))))))))))), 2'(1(0(3(2(0(0(2(3(3(2(3(3(0(0(3(z0)))))))))))))))), 1'(0(3(2(0(0(2(3(3(2(3(3(0(0(3(z0))))))))))))))), 0'(3(2(0(0(2(3(3(2(3(3(0(0(3(z0)))))))))))))), 3'(2(0(0(2(3(3(2(3(3(0(0(3(z0))))))))))))), 2'(0(0(2(3(3(2(3(3(0(0(3(z0)))))))))))), 0'(0(2(3(3(2(3(3(0(0(3(z0))))))))))), 0'(2(3(3(2(3(3(0(0(3(z0)))))))))), 2'(3(3(2(3(3(0(0(3(z0))))))))), 3'(3(2(3(3(0(0(3(z0)))))))), 3'(2(3(3(0(0(3(z0))))))), 2'(3(3(0(0(3(z0)))))), 3'(3(0(0(3(z0))))), 3'(0(0(3(z0)))), 0'(0(3(z0))), 0'(3(z0)), 3'(z0))
   3'(c_0(c_1(c_0(c_3(c_1(c_2(c_2(c_0(c_1(c_1(c_1(c_3(c_3(c_0(c_2(c_3(c_0(z0)))))))))))))))))) -> c82(0'(3(3(2(1(0(0(2(3(3(1(1(0(1(1(3(2(0(z0)))))))))))))))))), 3'(3(2(1(0(0(2(3(3(1(1(0(1(1(3(2(0(z0))))))))))))))))), 3'(2(1(0(0(2(3(3(1(1(0(1(1(3(2(0(z0)))))))))))))))), 2'(1(0(0(2(3(3(1(1(0(1(1(3(2(0(z0))))))))))))))), 1'(0(0(2(3(3(1(1(0(1(1(3(2(0(z0)))))))))))))), 0'(0(2(3(3(1(1(0(1(1(3(2(0(z0))))))))))))), 0'(2(3(3(1(1(0(1(1(3(2(0(z0)))))))))))), 2'(3(3(1(1(0(1(1(3(2(0(z0))))))))))), 3'(3(1(1(0(1(1(3(2(0(z0)))))))))), 3'(1(1(0(1(1(3(2(0(z0))))))))), 1'(1(0(1(1(3(2(0(z0)))))))), 1'(0(1(1(3(2(0(z0))))))), 0'(1(1(3(2(0(z0)))))), 1'(1(3(2(0(z0))))), 1'(3(2(0(z0)))), 3'(2(0(z0))), 2'(0(z0)), 0'(z0))
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K tuples:none
Defined Rule Symbols:   0_1, 2_1, 3_1, 1_1, encArg_1, encode_0_1, encode_3_1, encode_1_1, encode_2_1

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

Compound Symbols:   c_2, c1_2, c2_2, c3_2, c9_18, c10_18, c11_18, c12_18, c13_18, c14_18, c15_18, c16_18, c17_18, c18_18, c19_18, c20_18, c21_18, c22_18, c23_18, c24_18, c25_18, c26_18, c27_18, c28_18, c29_18, c30_18, c31_18, c33_18, c34_18, c35_18, c36_18, c37_18, c38_18, c39_18, c40_18, c41_18, c42_18, c43_18, c44_18, c45_18, c46_18, c47_18, c48_18, c49_18, c50_18, c51_18, c52_18, c53_18, c55_18, c56_18, c57_18, c58_18, c59_18, c60_18, c61_18, c62_18, c63_18, c64_18, c65_18, c66_18, c67_18, c68_18, c69_18, c70_18, c71_18, c72_18, c73_18, c75_18, c76_18, c77_18, c78_18, c79_18, c80_18, c81_18, c82_18, c83_18, c84_18, c85_18, c86_18, c87_18, c88_18, c89_18, c90_18, c91_18, c8_1


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(45) CdtUsableRulesProof (BOTH BOUNDS(ID, ID))
The following rules are not usable and were removed:
   encode_0(z0) -> 0(encArg(z0))
   encode_3(z0) -> 3(encArg(z0))
   encode_1(z0) -> 1(encArg(z0))
   encode_2(z0) -> 2(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_0(c_0(c_1(c_0(c_0(c_0(c_2(c_1(c_1(c_2(c_0(c_1(c_0(c_1(c_2(c_0(c_0(z0)))))))))))))))))) -> 0(1(0(1(1(0(0(2(1(1(0(0(2(0(2(0(0(0(z0))))))))))))))))))
   0(c_0(c_1(c_3(c_2(c_1(c_0(c_0(c_3(c_2(c_3(c_1(c_3(c_0(c_0(c_2(c_0(c_0(z0)))))))))))))))))) -> 0(0(2(3(2(0(1(0(2(1(0(1(0(3(0(3(0(3(z0))))))))))))))))))
   0(c_3(c_1(c_2(c_3(c_1(c_0(c_3(c_3(c_3(c_1(c_3(c_0(c_3(c_2(c_2(c_1(c_2(z0)))))))))))))))))) -> 1(0(3(1(0(3(3(3(3(2(3(2(3(2(0(2(1(1(z0))))))))))))))))))
   0(c_0(c_3(c_0(c_3(c_1(c_2(c_0(c_3(c_0(c_3(c_1(c_0(c_0(c_1(c_0(c_1(c_3(z0)))))))))))))))))) -> 0(3(0(0(3(3(0(1(0(3(0(1(0(0(2(1(1(3(z0))))))))))))))))))
   0(c_2(c_3(c_3(c_1(c_0(c_3(c_0(c_0(c_0(c_2(c_0(c_1(c_3(c_1(c_3(c_3(c_0(z0)))))))))))))))))) -> 0(3(0(3(3(2(3(2(3(0(0(0(0(1(1(1(3(0(z0))))))))))))))))))
   0(c_0(c_1(c_3(c_1(c_0(c_3(c_1(c_1(c_3(c_1(c_2(c_3(c_1(c_2(c_2(c_1(c_1(z0)))))))))))))))))) -> 0(3(0(2(1(0(3(2(1(1(2(1(3(1(3(1(1(1(z0))))))))))))))))))
   0(c_0(c_3(c_2(c_1(c_3(c_1(c_3(c_3(c_0(c_1(c_2(c_0(c_0(c_0(c_2(c_0(c_2(z0)))))))))))))))))) -> 0(3(0(0(2(1(3(1(2(3(2(1(0(0(0(3(2(0(z0))))))))))))))))))
   0(c_3(c_3(c_3(c_1(c_2(c_0(c_0(c_3(c_2(c_0(c_1(c_2(c_1(c_3(c_0(c_2(c_0(z0)))))))))))))))))) -> 0(2(1(0(1(0(1(0(0(3(3(2(3(0(2(3(2(3(z0))))))))))))))))))
   0(c_0(c_1(c_2(c_0(c_0(c_3(c_3(c_2(c_1(c_3(c_3(c_3(c_1(c_1(c_1(c_1(c_2(z0)))))))))))))))))) -> 0(0(3(3(1(0(2(3(2(1(1(3(1(1(1(3(2(0(z0))))))))))))))))))
   0(c_0(c_1(c_1(c_1(c_3(c_2(c_2(c_2(c_1(c_3(c_2(c_3(c_0(c_0(c_0(c_0(c_0(z0)))))))))))))))))) -> 1(0(0(3(2(0(1(3(2(0(0(2(3(1(0(2(1(0(z0))))))))))))))))))
   0(c_3(c_0(c_3(c_2(c_2(c_0(c_3(c_3(c_1(c_0(c_0(c_3(c_0(c_3(c_0(c_1(c_0(z0)))))))))))))))))) -> 0(3(0(0(3(3(3(2(1(3(2(0(0(1(3(0(0(0(z0))))))))))))))))))
   0(c_0(c_0(c_3(c_0(c_3(c_0(c_1(c_2(c_1(c_0(c_0(c_0(c_1(c_2(c_3(c_3(c_3(z0)))))))))))))))))) -> 0(0(0(2(3(0(0(0(0(1(1(3(1(0(2(3(3(3(z0))))))))))))))))))
   0(c_0(c_3(c_0(c_3(c_3(c_3(c_1(c_1(c_1(c_3(c_1(c_1(c_2(c_1(c_2(c_3(c_0(z0)))))))))))))))))) -> 0(3(3(1(2(1(3(0(3(3(2(0(1(1(0(1(1(3(z0))))))))))))))))))
   0(c_0(c_1(c_0(c_1(c_1(c_1(c_0(c_2(c_2(c_3(c_3(c_1(c_3(c_0(c_2(c_1(c_0(z0)))))))))))))))))) -> 0(0(1(1(1(3(3(3(2(1(1(0(0(1(2(0(2(0(z0))))))))))))))))))
   0(c_0(c_0(c_0(c_3(c_0(c_3(c_1(c_3(c_1(c_2(c_2(c_1(c_3(c_1(c_0(c_0(c_2(z0)))))))))))))))))) -> 0(0(3(3(2(1(3(0(0(1(1(2(0(0(1(0(2(3(z0))))))))))))))))))
   0(c_0(c_1(c_2(c_0(c_1(c_0(c_1(c_1(c_0(c_1(c_2(c_2(c_3(c_3(c_1(c_2(c_2(z0)))))))))))))))))) -> 0(2(0(1(2(3(1(1(0(0(2(3(2(1(1(1(0(2(z0))))))))))))))))))
   0(c_2(c_2(c_3(c_2(c_3(c_2(c_2(c_2(c_2(c_2(c_3(c_3(c_0(c_0(c_0(c_0(c_3(z0)))))))))))))))))) -> 0(2(0(3(2(2(0(3(3(3(2(2(2(0(2(0(2(3(z0))))))))))))))))))
   0(c_0(c_2(c_3(c_3(c_3(c_0(c_0(c_1(c_1(c_2(c_2(c_0(c_3(c_2(c_3(c_3(c_0(z0)))))))))))))))))) -> 0(3(0(2(3(0(1(3(3(2(0(0(3(3(2(1(2(0(z0))))))))))))))))))
   0(c_1(c_3(c_0(c_1(c_0(c_1(c_1(c_2(c_2(c_2(c_3(c_3(c_0(c_3(c_0(c_0(c_0(z0)))))))))))))))))) -> 0(2(1(0(0(3(2(0(0(3(3(3(1(1(0(1(2(0(z0))))))))))))))))))
   0(c_1(c_2(c_3(c_0(c_2(c_1(c_2(c_3(c_0(c_0(c_3(c_0(c_1(c_0(c_1(c_3(c_0(z0)))))))))))))))))) -> 0(2(0(0(0(2(3(3(1(1(3(2(0(3(0(0(1(1(z0))))))))))))))))))
   0(c_0(c_3(c_0(c_2(c_0(c_1(c_1(c_3(c_1(c_0(c_2(c_0(c_0(c_0(c_2(c_1(c_1(z0)))))))))))))))))) -> 0(3(1(0(3(2(0(1(0(1(0(0(2(0(1(2(0(1(z0))))))))))))))))))
   0(c_0(c_3(c_3(c_1(c_2(c_3(c_0(c_2(c_3(c_3(c_3(c_0(c_0(c_3(c_2(c_2(c_3(z0)))))))))))))))))) -> 3(0(3(3(2(0(2(3(2(0(3(1(3(3(2(0(0(3(z0))))))))))))))))))
   0(c_0(c_2(c_2(c_1(c_1(c_3(c_0(c_2(c_2(c_2(c_2(c_0(c_3(c_3(c_0(c_1(c_0(z0)))))))))))))))))) -> 0(2(2(1(1(0(2(3(0(0(2(0(2(1(3(2(3(0(z0))))))))))))))))))
   1(z0) -> c_1(z0)
   1(c_3(c_0(c_3(c_3(c_0(c_2(c_3(c_1(c_0(c_0(c_0(c_3(c_2(c_1(c_2(c_3(c_3(z0)))))))))))))))))) -> 1(3(0(2(0(0(3(1(0(2(1(0(2(3(3(3(3(3(z0))))))))))))))))))
   1(c_2(c_1(c_2(c_2(c_0(c_1(c_3(c_0(c_2(c_3(c_2(c_2(c_3(c_2(c_3(c_3(c_0(z0)))))))))))))))))) -> 1(2(0(3(0(2(2(1(3(3(2(2(2(3(3(2(1(0(z0))))))))))))))))))
   1(c_2(c_0(c_0(c_1(c_1(c_0(c_1(c_2(c_0(c_1(c_1(c_2(c_0(c_0(c_3(c_3(c_1(z0)))))))))))))))))) -> 1(1(1(0(1(0(1(0(1(0(0(2(0(1(3(3(2(2(z0))))))))))))))))))
   1(c_0(c_0(c_0(c_3(c_0(c_0(c_1(c_3(c_1(c_2(c_1(c_2(c_2(c_1(c_2(c_3(c_1(z0)))))))))))))))))) -> 1(3(0(0(0(3(2(1(2(1(0(0(1(3(2(2(1(1(z0))))))))))))))))))
   1(c_0(c_2(c_3(c_1(c_3(c_2(c_2(c_3(c_1(c_2(c_0(c_1(c_0(c_3(c_0(c_0(c_0(z0)))))))))))))))))) -> 1(0(3(3(2(1(3(2(3(0(1(2(0(0(2(1(0(0(z0))))))))))))))))))
   1(c_3(c_1(c_2(c_2(c_2(c_0(c_3(c_3(c_2(c_1(c_0(c_3(c_3(c_0(c_0(c_3(c_0(z0)))))))))))))))))) -> 1(3(2(3(0(2(3(3(3(0(0(2(0(1(3(2(1(0(z0))))))))))))))))))
   1(c_2(c_1(c_3(c_1(c_1(c_3(c_0(c_3(c_1(c_1(c_1(c_1(c_1(c_3(c_0(c_1(c_3(z0)))))))))))))))))) -> 1(0(1(1(0(3(1(3(3(1(1(3(2(1(1(1(1(3(z0))))))))))))))))))
   1(c_3(c_1(c_1(c_1(c_2(c_0(c_2(c_1(c_2(c_0(c_3(c_3(c_1(c_2(c_2(c_3(c_1(z0)))))))))))))))))) -> 1(2(1(2(1(2(2(1(1(1(1(0(3(3(3(0(3(2(z0))))))))))))))))))
   1(c_3(c_0(c_0(c_1(c_2(c_3(c_3(c_2(c_3(c_1(c_1(c_3(c_1(c_0(c_3(c_1(c_2(z0)))))))))))))))))) -> 1(1(2(3(3(3(3(1(1(0(2(0(1(3(3(2(0(1(z0))))))))))))))))))
   1(c_1(c_1(c_2(c_1(c_2(c_3(c_0(c_0(c_2(c_3(c_0(c_3(c_1(c_3(c_2(c_0(c_2(z0)))))))))))))))))) -> 1(1(1(3(0(2(0(2(0(2(3(2(0(3(3(1(1(2(z0))))))))))))))))))
   1(c_0(c_3(c_3(c_3(c_0(c_2(c_3(c_0(c_2(c_1(c_1(c_0(c_3(c_3(c_1(c_3(c_1(z0)))))))))))))))))) -> 1(3(3(1(1(1(0(3(0(0(3(3(3(2(3(2(0(1(z0))))))))))))))))))
   1(c_2(c_2(c_3(c_2(c_1(c_3(c_0(c_3(c_1(c_3(c_3(c_1(c_3(c_0(c_3(c_3(c_3(z0)))))))))))))))))) -> 1(3(3(1(1(2(0(3(3(2(3(1(3(2(0(3(3(3(z0))))))))))))))))))
   1(c_2(c_1(c_2(c_3(c_0(c_3(c_0(c_2(c_2(c_0(c_2(c_3(c_2(c_0(c_1(c_1(c_2(z0)))))))))))))))))) -> 1(0(1(3(2(2(0(2(1(2(1(3(2(0(2(3(0(2(z0))))))))))))))))))
   1(c_2(c_2(c_3(c_3(c_0(c_1(c_2(c_1(c_0(c_3(c_1(c_2(c_3(c_1(c_1(c_2(c_2(z0)))))))))))))))))) -> 1(3(3(2(3(3(1(2(2(0(1(2(2(2(1(1(1(0(z0))))))))))))))))))
   1(c_3(c_3(c_0(c_3(c_1(c_0(c_1(c_3(c_1(c_2(c_2(c_0(c_3(c_1(c_1(c_0(c_0(z0)))))))))))))))))) -> 1(3(2(0(3(0(0(0(3(2(1(3(1(1(1(1(3(0(z0))))))))))))))))))
   1(c_1(c_2(c_1(c_3(c_0(c_2(c_1(c_0(c_0(c_3(c_0(c_1(c_2(c_2(c_0(c_3(c_3(z0)))))))))))))))))) -> 1(0(3(2(1(0(3(3(1(0(2(2(0(1(0(2(1(3(z0))))))))))))))))))
   1(c_2(c_1(c_0(c_1(c_3(c_0(c_3(c_3(c_1(c_3(c_1(c_2(c_2(c_3(c_0(c_2(c_0(z0)))))))))))))))))) -> 1(1(3(3(2(0(0(3(2(1(2(3(3(2(0(1(1(0(z0))))))))))))))))))
   1(c_0(c_3(c_0(c_2(c_3(c_0(c_3(c_1(c_3(c_1(c_1(c_2(c_0(c_3(c_0(c_3(c_0(z0)))))))))))))))))) -> 1(0(1(0(2(3(0(3(0(3(0(3(3(1(0(2(1(3(z0))))))))))))))))))
   1(c_2(c_3(c_1(c_3(c_0(c_1(c_1(c_3(c_1(c_3(c_1(c_2(c_0(c_3(c_2(c_3(c_0(z0)))))))))))))))))) -> 1(1(3(2(1(3(3(0(2(0(3(3(1(1(3(2(0(1(z0))))))))))))))))))
   1(c_1(c_2(c_3(c_3(c_1(c_0(c_0(c_3(c_1(c_3(c_3(c_3(c_0(c_0(c_1(c_3(c_1(z0)))))))))))))))))) -> 1(3(0(2(3(3(3(1(1(0(3(3(3(0(1(1(0(1(z0))))))))))))))))))
   1(c_3(c_1(c_2(c_0(c_1(c_2(c_0(c_0(c_1(c_0(c_0(c_2(c_3(c_0(c_1(c_1(c_2(z0)))))))))))))))))) -> 1(3(2(2(0(2(1(0(1(0(0(1(2(0(1(1(3(0(z0))))))))))))))))))
   2(z0) -> c_2(z0)
   2(c_3(c_1(c_1(c_2(c_0(c_2(c_0(c_3(c_2(c_2(c_3(c_1(c_2(c_2(c_3(c_0(c_0(z0)))))))))))))))))) -> 2(2(2(2(1(3(0(2(0(3(2(1(0(1(0(3(2(3(z0))))))))))))))))))
   2(c_2(c_0(c_2(c_3(c_3(c_2(c_2(c_0(c_3(c_1(c_0(c_0(c_2(c_2(c_3(c_0(c_0(z0)))))))))))))))))) -> 2(2(0(0(3(3(2(3(2(3(2(0(2(0(0(0(1(2(z0))))))))))))))))))
   2(c_2(c_3(c_3(c_1(c_2(c_3(c_2(c_1(c_2(c_1(c_3(c_2(c_2(c_1(c_1(c_2(c_1(z0)))))))))))))))))) -> 2(1(1(1(2(2(3(2(3(3(3(2(1(2(1(2(2(1(z0))))))))))))))))))
   2(c_3(c_0(c_0(c_3(c_0(c_0(c_3(c_0(c_2(c_2(c_2(c_2(c_3(c_2(c_0(c_3(c_0(z0)))))))))))))))))) -> 2(2(3(0(2(0(0(2(0(3(3(2(3(3(2(0(0(0(z0))))))))))))))))))
   2(c_0(c_1(c_1(c_2(c_1(c_1(c_2(c_2(c_1(c_1(c_2(c_1(c_2(c_2(c_0(c_0(c_2(z0)))))))))))))))))) -> 2(0(2(1(2(1(0(2(2(2(1(2(1(0(2(1(1(1(z0))))))))))))))))))
   2(c_2(c_1(c_1(c_3(c_0(c_0(c_3(c_2(c_3(c_1(c_2(c_1(c_0(c_0(c_2(c_1(c_2(z0)))))))))))))))))) -> 2(1(0(0(2(1(0(3(3(2(2(1(1(1(0(3(2(2(z0))))))))))))))))))
   2(c_2(c_3(c_3(c_3(c_3(c_3(c_1(c_2(c_0(c_1(c_1(c_1(c_2(c_3(c_1(c_2(c_1(z0)))))))))))))))))) -> 1(3(3(3(2(0(1(2(1(2(1(3(2(3(3(2(1(1(z0))))))))))))))))))
   2(c_3(c_2(c_3(c_0(c_0(c_0(c_3(c_3(c_2(c_2(c_2(c_2(c_3(c_2(c_2(c_0(c_2(z0)))))))))))))))))) -> 2(3(3(2(3(2(0(2(2(0(0(3(2(0(2(2(3(2(z0))))))))))))))))))
   2(c_2(c_0(c_1(c_2(c_3(c_3(c_0(c_3(c_2(c_2(c_2(c_0(c_3(c_3(c_1(c_1(c_3(z0)))))))))))))))))) -> 2(1(3(2(0(3(3(0(2(1(1(3(2(0(3(2(2(3(z0))))))))))))))))))
   2(c_0(c_0(c_2(c_2(c_0(c_3(c_0(c_1(c_0(c_2(c_3(c_3(c_1(c_2(c_1(c_2(c_2(z0)))))))))))))))))) -> 2(0(1(2(2(3(0(3(3(2(0(1(2(2(1(0(2(0(z0))))))))))))))))))
   2(c_3(c_1(c_1(c_3(c_1(c_0(c_2(c_3(c_0(c_0(c_0(c_2(c_3(c_3(c_2(c_3(c_1(z0)))))))))))))))))) -> 2(3(3(2(0(2(1(0(3(3(0(3(1(0(1(2(3(1(z0))))))))))))))))))
   2(c_2(c_3(c_1(c_1(c_2(c_2(c_0(c_1(c_0(c_1(c_0(c_1(c_0(c_1(c_3(c_1(c_0(z0)))))))))))))))))) -> 2(0(1(0(1(1(0(3(2(1(1(0(2(2(3(1(1(0(z0))))))))))))))))))
   2(c_2(c_3(c_1(c_2(c_2(c_2(c_1(c_2(c_0(c_1(c_3(c_2(c_2(c_3(c_3(c_0(c_0(z0)))))))))))))))))) -> 2(1(2(2(3(3(2(2(0(1(0(2(2(3(1(0(2(3(z0))))))))))))))))))
   2(c_0(c_0(c_3(c_0(c_3(c_1(c_1(c_2(c_2(c_2(c_2(c_3(c_2(c_0(c_0(c_3(c_0(z0)))))))))))))))))) -> 2(0(3(0(1(3(2(2(3(0(1(3(2(2(0(2(0(0(z0))))))))))))))))))
   2(c_0(c_0(c_0(c_0(c_3(c_1(c_2(c_2(c_0(c_3(c_0(c_2(c_0(c_3(c_1(c_3(c_2(z0)))))))))))))))))) -> 2(0(1(0(2(3(2(0(3(3(2(3(0(2(1(0(0(0(z0))))))))))))))))))
   2(c_3(c_0(c_0(c_0(c_2(c_0(c_0(c_1(c_3(c_3(c_1(c_2(c_2(c_2(c_2(c_2(c_2(z0)))))))))))))))))) -> 2(1(2(2(3(0(0(3(0(3(2(0(0(2(2(1(2(2(z0))))))))))))))))))
   2(c_0(c_0(c_3(c_1(c_2(c_1(c_3(c_0(c_2(c_2(c_2(c_1(c_2(c_2(c_2(c_3(c_1(z0)))))))))))))))))) -> 2(1(0(3(2(2(1(2(3(2(2(0(3(2(2(0(1(1(z0))))))))))))))))))
   2(c_1(c_2(c_0(c_2(c_1(c_3(c_0(c_1(c_2(c_1(c_0(c_2(c_1(c_3(c_1(c_2(c_0(z0)))))))))))))))))) -> 2(1(2(3(1(0(1(0(0(2(1(1(3(2(0(2(1(2(z0))))))))))))))))))
   2(c_3(c_0(c_3(c_1(c_1(c_2(c_3(c_1(c_3(c_2(c_0(c_1(c_2(c_2(c_1(c_3(c_0(z0)))))))))))))))))) -> 2(1(1(0(1(2(1(3(3(3(2(2(0(2(1(3(3(0(z0))))))))))))))))))
   3(z0) -> c_3(z0)
   3(c_2(c_1(c_1(c_1(c_3(c_1(c_1(c_2(c_2(c_1(c_2(c_1(c_1(c_2(c_3(c_0(c_1(z0)))))))))))))))))) -> 3(2(1(1(1(1(1(0(3(2(2(2(1(2(3(1(1(1(z0))))))))))))))))))
   3(c_1(c_2(c_1(c_0(c_3(c_1(c_1(c_2(c_2(c_3(c_0(c_2(c_2(c_3(c_0(c_2(c_0(z0)))))))))))))))))) -> 3(1(1(1(2(2(2(0(3(2(0(3(2(3(2(0(0(1(z0))))))))))))))))))
   3(c_3(c_1(c_1(c_3(c_1(c_0(c_1(c_3(c_1(c_2(c_3(c_3(c_3(c_1(c_1(c_3(c_0(z0)))))))))))))))))) -> 3(3(1(0(3(3(1(3(3(3(3(1(1(1(1(2(0(1(z0))))))))))))))))))
   3(c_1(c_3(c_0(c_3(c_0(c_3(c_2(c_2(c_3(c_0(c_2(c_3(c_1(c_2(c_1(c_0(c_2(z0)))))))))))))))))) -> 3(0(2(2(3(2(0(1(3(1(0(2(1(3(3(2(0(3(z0))))))))))))))))))
   3(c_0(c_2(c_0(c_3(c_3(c_0(c_0(c_2(c_2(c_0(c_1(c_0(c_3(c_3(c_1(c_3(c_1(z0)))))))))))))))))) -> 3(0(2(1(0(1(3(3(2(0(0(3(0(3(2(3(1(0(z0))))))))))))))))))
   3(c_3(c_0(c_2(c_1(c_2(c_2(c_0(c_0(c_1(c_3(c_2(c_0(c_0(c_1(c_2(c_3(c_0(z0)))))))))))))))))) -> 0(0(1(1(0(2(2(3(3(2(1(0(0(2(3(3(2(0(z0))))))))))))))))))
   3(c_3(c_0(c_2(c_0(c_2(c_0(c_3(c_3(c_3(c_1(c_0(c_2(c_2(c_2(c_3(c_3(c_0(z0)))))))))))))))))) -> 3(2(2(1(0(3(2(0(0(2(3(3(2(3(3(0(0(3(z0))))))))))))))))))
   3(c_0(c_1(c_0(c_3(c_1(c_2(c_2(c_0(c_1(c_1(c_1(c_3(c_3(c_0(c_2(c_3(c_0(z0)))))))))))))))))) -> 0(3(3(2(1(0(0(2(3(3(1(1(0(1(1(3(2(0(z0))))))))))))))))))
   3(c_1(c_2(c_0(c_1(c_2(c_0(c_3(c_1(c_2(c_1(c_0(c_0(c_2(c_0(c_3(c_0(c_2(z0)))))))))))))))))) -> 3(1(0(2(2(1(3(0(0(2(0(3(2(1(1(0(2(0(z0))))))))))))))))))
   3(c_1(c_3(c_1(c_1(c_3(c_0(c_2(c_0(c_0(c_3(c_0(c_2(c_3(c_1(c_2(c_2(c_2(z0)))))))))))))))))) -> 3(1(3(1(0(3(3(2(1(2(1(2(0(2(3(2(0(0(z0))))))))))))))))))
   3(c_0(c_1(c_2(c_2(c_3(c_0(c_1(c_2(c_1(c_3(c_1(c_3(c_3(c_3(c_1(c_1(c_3(z0)))))))))))))))))) -> 0(2(1(3(3(3(2(1(1(0(1(3(3(2(1(1(3(3(z0))))))))))))))))))
   3(c_0(c_2(c_0(c_3(c_1(c_1(c_3(c_2(c_1(c_3(c_0(c_2(c_0(c_2(c_1(c_1(c_3(z0)))))))))))))))))) -> 1(3(3(2(0(0(0(1(3(3(2(0(1(1(2(1(2(3(z0))))))))))))))))))
   3(c_3(c_0(c_3(c_0(c_0(c_2(c_3(c_0(c_2(c_3(c_3(c_1(c_2(c_2(c_2(c_2(c_0(z0)))))))))))))))))) -> 3(3(0(0(3(2(3(2(0(0(0(2(3(2(1(2(3(2(z0))))))))))))))))))
   3(c_3(c_3(c_3(c_3(c_0(c_3(c_1(c_1(c_3(c_2(c_1(c_1(c_3(c_2(c_2(c_0(c_2(z0)))))))))))))))))) -> 3(3(1(0(1(2(3(2(0(1(1(3(3(3(3(2(3(2(z0))))))))))))))))))
   3(c_2(c_2(c_3(c_0(c_0(c_3(c_0(c_0(c_2(c_3(c_0(c_1(c_1(c_1(c_1(c_3(c_0(z0)))))))))))))))))) -> 3(2(0(3(2(3(0(1(0(1(1(0(3(1(3(0(2(0(z0))))))))))))))))))
   3(c_1(c_3(c_1(c_1(c_3(c_3(c_3(c_2(c_1(c_2(c_3(c_0(c_2(c_1(c_2(c_3(c_0(z0)))))))))))))))))) -> 3(3(3(2(0(1(3(2(0(1(3(3(1(2(1(1(2(3(z0))))))))))))))))))
   3(c_0(c_2(c_2(c_0(c_0(c_1(c_2(c_3(c_0(c_0(c_1(c_1(c_2(c_0(c_1(c_2(c_2(z0)))))))))))))))))) -> 2(3(0(2(3(1(1(0(2(0(2(1(1(0(0(2(0(2(z0))))))))))))))))))
Tuples:
   ENCARG(cons_0(z0)) -> c(0'(encArg(z0)), ENCARG(z0))
   ENCARG(cons_1(z0)) -> c1(1'(encArg(z0)), ENCARG(z0))
   ENCARG(cons_2(z0)) -> c2(2'(encArg(z0)), ENCARG(z0))
   ENCARG(cons_3(z0)) -> c3(3'(encArg(z0)), ENCARG(z0))
   0'(c_0(c_0(c_1(c_0(c_0(c_0(c_2(c_1(c_1(c_2(c_0(c_1(c_0(c_1(c_2(c_0(c_0(z0)))))))))))))))))) -> c9(0'(1(0(1(1(0(0(2(1(1(0(0(2(0(2(0(0(0(z0)))))))))))))))))), 1'(0(1(1(0(0(2(1(1(0(0(2(0(2(0(0(0(z0))))))))))))))))), 0'(1(1(0(0(2(1(1(0(0(2(0(2(0(0(0(z0)))))))))))))))), 1'(1(0(0(2(1(1(0(0(2(0(2(0(0(0(z0))))))))))))))), 1'(0(0(2(1(1(0(0(2(0(2(0(0(0(z0)))))))))))))), 0'(0(2(1(1(0(0(2(0(2(0(0(0(z0))))))))))))), 0'(2(1(1(0(0(2(0(2(0(0(0(z0)))))))))))), 2'(1(1(0(0(2(0(2(0(0(0(z0))))))))))), 1'(1(0(0(2(0(2(0(0(0(z0)))))))))), 1'(0(0(2(0(2(0(0(0(z0))))))))), 0'(0(2(0(2(0(0(0(z0)))))))), 0'(2(0(2(0(0(0(z0))))))), 2'(0(2(0(0(0(z0)))))), 0'(2(0(0(0(z0))))), 2'(0(0(0(z0)))), 0'(0(0(z0))), 0'(0(z0)), 0'(z0))
   0'(c_0(c_1(c_3(c_2(c_1(c_0(c_0(c_3(c_2(c_3(c_1(c_3(c_0(c_0(c_2(c_0(c_0(z0)))))))))))))))))) -> c10(0'(0(2(3(2(0(1(0(2(1(0(1(0(3(0(3(0(3(z0)))))))))))))))))), 0'(2(3(2(0(1(0(2(1(0(1(0(3(0(3(0(3(z0))))))))))))))))), 2'(3(2(0(1(0(2(1(0(1(0(3(0(3(0(3(z0)))))))))))))))), 3'(2(0(1(0(2(1(0(1(0(3(0(3(0(3(z0))))))))))))))), 2'(0(1(0(2(1(0(1(0(3(0(3(0(3(z0)))))))))))))), 0'(1(0(2(1(0(1(0(3(0(3(0(3(z0))))))))))))), 1'(0(2(1(0(1(0(3(0(3(0(3(z0)))))))))))), 0'(2(1(0(1(0(3(0(3(0(3(z0))))))))))), 2'(1(0(1(0(3(0(3(0(3(z0)))))))))), 1'(0(1(0(3(0(3(0(3(z0))))))))), 0'(1(0(3(0(3(0(3(z0)))))))), 1'(0(3(0(3(0(3(z0))))))), 0'(3(0(3(0(3(z0)))))), 3'(0(3(0(3(z0))))), 0'(3(0(3(z0)))), 3'(0(3(z0))), 0'(3(z0)), 3'(z0))
   0'(c_3(c_1(c_2(c_3(c_1(c_0(c_3(c_3(c_3(c_1(c_3(c_0(c_3(c_2(c_2(c_1(c_2(z0)))))))))))))))))) -> c11(1'(0(3(1(0(3(3(3(3(2(3(2(3(2(0(2(1(1(z0)))))))))))))))))), 0'(3(1(0(3(3(3(3(2(3(2(3(2(0(2(1(1(z0))))))))))))))))), 3'(1(0(3(3(3(3(2(3(2(3(2(0(2(1(1(z0)))))))))))))))), 1'(0(3(3(3(3(2(3(2(3(2(0(2(1(1(z0))))))))))))))), 0'(3(3(3(3(2(3(2(3(2(0(2(1(1(z0)))))))))))))), 3'(3(3(3(2(3(2(3(2(0(2(1(1(z0))))))))))))), 3'(3(3(2(3(2(3(2(0(2(1(1(z0)))))))))))), 3'(3(2(3(2(3(2(0(2(1(1(z0))))))))))), 3'(2(3(2(3(2(0(2(1(1(z0)))))))))), 2'(3(2(3(2(0(2(1(1(z0))))))))), 3'(2(3(2(0(2(1(1(z0)))))))), 2'(3(2(0(2(1(1(z0))))))), 3'(2(0(2(1(1(z0)))))), 2'(0(2(1(1(z0))))), 0'(2(1(1(z0)))), 2'(1(1(z0))), 1'(1(z0)), 1'(z0))
   0'(c_0(c_3(c_0(c_3(c_1(c_2(c_0(c_3(c_0(c_3(c_1(c_0(c_0(c_1(c_0(c_1(c_3(z0)))))))))))))))))) -> c12(0'(3(0(0(3(3(0(1(0(3(0(1(0(0(2(1(1(3(z0)))))))))))))))))), 3'(0(0(3(3(0(1(0(3(0(1(0(0(2(1(1(3(z0))))))))))))))))), 0'(0(3(3(0(1(0(3(0(1(0(0(2(1(1(3(z0)))))))))))))))), 0'(3(3(0(1(0(3(0(1(0(0(2(1(1(3(z0))))))))))))))), 3'(3(0(1(0(3(0(1(0(0(2(1(1(3(z0)))))))))))))), 3'(0(1(0(3(0(1(0(0(2(1(1(3(z0))))))))))))), 0'(1(0(3(0(1(0(0(2(1(1(3(z0)))))))))))), 1'(0(3(0(1(0(0(2(1(1(3(z0))))))))))), 0'(3(0(1(0(0(2(1(1(3(z0)))))))))), 3'(0(1(0(0(2(1(1(3(z0))))))))), 0'(1(0(0(2(1(1(3(z0)))))))), 1'(0(0(2(1(1(3(z0))))))), 0'(0(2(1(1(3(z0)))))), 0'(2(1(1(3(z0))))), 2'(1(1(3(z0)))), 1'(1(3(z0))), 1'(3(z0)), 3'(z0))
   0'(c_2(c_3(c_3(c_1(c_0(c_3(c_0(c_0(c_0(c_2(c_0(c_1(c_3(c_1(c_3(c_3(c_0(z0)))))))))))))))))) -> c13(0'(3(0(3(3(2(3(2(3(0(0(0(0(1(1(1(3(0(z0)))))))))))))))))), 3'(0(3(3(2(3(2(3(0(0(0(0(1(1(1(3(0(z0))))))))))))))))), 0'(3(3(2(3(2(3(0(0(0(0(1(1(1(3(0(z0)))))))))))))))), 3'(3(2(3(2(3(0(0(0(0(1(1(1(3(0(z0))))))))))))))), 3'(2(3(2(3(0(0(0(0(1(1(1(3(0(z0)))))))))))))), 2'(3(2(3(0(0(0(0(1(1(1(3(0(z0))))))))))))), 3'(2(3(0(0(0(0(1(1(1(3(0(z0)))))))))))), 2'(3(0(0(0(0(1(1(1(3(0(z0))))))))))), 3'(0(0(0(0(1(1(1(3(0(z0)))))))))), 0'(0(0(0(1(1(1(3(0(z0))))))))), 0'(0(0(1(1(1(3(0(z0)))))))), 0'(0(1(1(1(3(0(z0))))))), 0'(1(1(1(3(0(z0)))))), 1'(1(1(3(0(z0))))), 1'(1(3(0(z0)))), 1'(3(0(z0))), 3'(0(z0)), 0'(z0))
   0'(c_0(c_1(c_3(c_1(c_0(c_3(c_1(c_1(c_3(c_1(c_2(c_3(c_1(c_2(c_2(c_1(c_1(z0)))))))))))))))))) -> c14(0'(3(0(2(1(0(3(2(1(1(2(1(3(1(3(1(1(1(z0)))))))))))))))))), 3'(0(2(1(0(3(2(1(1(2(1(3(1(3(1(1(1(z0))))))))))))))))), 0'(2(1(0(3(2(1(1(2(1(3(1(3(1(1(1(z0)))))))))))))))), 2'(1(0(3(2(1(1(2(1(3(1(3(1(1(1(z0))))))))))))))), 1'(0(3(2(1(1(2(1(3(1(3(1(1(1(z0)))))))))))))), 0'(3(2(1(1(2(1(3(1(3(1(1(1(z0))))))))))))), 3'(2(1(1(2(1(3(1(3(1(1(1(z0)))))))))))), 2'(1(1(2(1(3(1(3(1(1(1(z0))))))))))), 1'(1(2(1(3(1(3(1(1(1(z0)))))))))), 1'(2(1(3(1(3(1(1(1(z0))))))))), 2'(1(3(1(3(1(1(1(z0)))))))), 1'(3(1(3(1(1(1(z0))))))), 3'(1(3(1(1(1(z0)))))), 1'(3(1(1(1(z0))))), 3'(1(1(1(z0)))), 1'(1(1(z0))), 1'(1(z0)), 1'(z0))
   0'(c_0(c_3(c_2(c_1(c_3(c_1(c_3(c_3(c_0(c_1(c_2(c_0(c_0(c_0(c_2(c_0(c_2(z0)))))))))))))))))) -> c15(0'(3(0(0(2(1(3(1(2(3(2(1(0(0(0(3(2(0(z0)))))))))))))))))), 3'(0(0(2(1(3(1(2(3(2(1(0(0(0(3(2(0(z0))))))))))))))))), 0'(0(2(1(3(1(2(3(2(1(0(0(0(3(2(0(z0)))))))))))))))), 0'(2(1(3(1(2(3(2(1(0(0(0(3(2(0(z0))))))))))))))), 2'(1(3(1(2(3(2(1(0(0(0(3(2(0(z0)))))))))))))), 1'(3(1(2(3(2(1(0(0(0(3(2(0(z0))))))))))))), 3'(1(2(3(2(1(0(0(0(3(2(0(z0)))))))))))), 1'(2(3(2(1(0(0(0(3(2(0(z0))))))))))), 2'(3(2(1(0(0(0(3(2(0(z0)))))))))), 3'(2(1(0(0(0(3(2(0(z0))))))))), 2'(1(0(0(0(3(2(0(z0)))))))), 1'(0(0(0(3(2(0(z0))))))), 0'(0(0(3(2(0(z0)))))), 0'(0(3(2(0(z0))))), 0'(3(2(0(z0)))), 3'(2(0(z0))), 2'(0(z0)), 0'(z0))
   0'(c_3(c_3(c_3(c_1(c_2(c_0(c_0(c_3(c_2(c_0(c_1(c_2(c_1(c_3(c_0(c_2(c_0(z0)))))))))))))))))) -> c16(0'(2(1(0(1(0(1(0(0(3(3(2(3(0(2(3(2(3(z0)))))))))))))))))), 2'(1(0(1(0(1(0(0(3(3(2(3(0(2(3(2(3(z0))))))))))))))))), 1'(0(1(0(1(0(0(3(3(2(3(0(2(3(2(3(z0)))))))))))))))), 0'(1(0(1(0(0(3(3(2(3(0(2(3(2(3(z0))))))))))))))), 1'(0(1(0(0(3(3(2(3(0(2(3(2(3(z0)))))))))))))), 0'(1(0(0(3(3(2(3(0(2(3(2(3(z0))))))))))))), 1'(0(0(3(3(2(3(0(2(3(2(3(z0)))))))))))), 0'(0(3(3(2(3(0(2(3(2(3(z0))))))))))), 0'(3(3(2(3(0(2(3(2(3(z0)))))))))), 3'(3(2(3(0(2(3(2(3(z0))))))))), 3'(2(3(0(2(3(2(3(z0)))))))), 2'(3(0(2(3(2(3(z0))))))), 3'(0(2(3(2(3(z0)))))), 0'(2(3(2(3(z0))))), 2'(3(2(3(z0)))), 3'(2(3(z0))), 2'(3(z0)), 3'(z0))
   0'(c_0(c_1(c_2(c_0(c_0(c_3(c_3(c_2(c_1(c_3(c_3(c_3(c_1(c_1(c_1(c_1(c_2(z0)))))))))))))))))) -> c17(0'(0(3(3(1(0(2(3(2(1(1(3(1(1(1(3(2(0(z0)))))))))))))))))), 0'(3(3(1(0(2(3(2(1(1(3(1(1(1(3(2(0(z0))))))))))))))))), 3'(3(1(0(2(3(2(1(1(3(1(1(1(3(2(0(z0)))))))))))))))), 3'(1(0(2(3(2(1(1(3(1(1(1(3(2(0(z0))))))))))))))), 1'(0(2(3(2(1(1(3(1(1(1(3(2(0(z0)))))))))))))), 0'(2(3(2(1(1(3(1(1(1(3(2(0(z0))))))))))))), 2'(3(2(1(1(3(1(1(1(3(2(0(z0)))))))))))), 3'(2(1(1(3(1(1(1(3(2(0(z0))))))))))), 2'(1(1(3(1(1(1(3(2(0(z0)))))))))), 1'(1(3(1(1(1(3(2(0(z0))))))))), 1'(3(1(1(1(3(2(0(z0)))))))), 3'(1(1(1(3(2(0(z0))))))), 1'(1(1(3(2(0(z0)))))), 1'(1(3(2(0(z0))))), 1'(3(2(0(z0)))), 3'(2(0(z0))), 2'(0(z0)), 0'(z0))
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   3'(c_0(c_2(c_0(c_3(c_1(c_1(c_3(c_2(c_1(c_3(c_0(c_2(c_0(c_2(c_1(c_1(c_3(z0)))))))))))))))))) -> c86(1'(3(3(2(0(0(0(1(3(3(2(0(1(1(2(1(2(3(z0)))))))))))))))))), 3'(3(2(0(0(0(1(3(3(2(0(1(1(2(1(2(3(z0))))))))))))))))), 3'(2(0(0(0(1(3(3(2(0(1(1(2(1(2(3(z0)))))))))))))))), 2'(0(0(0(1(3(3(2(0(1(1(2(1(2(3(z0))))))))))))))), 0'(0(0(1(3(3(2(0(1(1(2(1(2(3(z0)))))))))))))), 0'(0(1(3(3(2(0(1(1(2(1(2(3(z0))))))))))))), 0'(1(3(3(2(0(1(1(2(1(2(3(z0)))))))))))), 1'(3(3(2(0(1(1(2(1(2(3(z0))))))))))), 3'(3(2(0(1(1(2(1(2(3(z0)))))))))), 3'(2(0(1(1(2(1(2(3(z0))))))))), 2'(0(1(1(2(1(2(3(z0)))))))), 0'(1(1(2(1(2(3(z0))))))), 1'(1(2(1(2(3(z0)))))), 1'(2(1(2(3(z0))))), 2'(1(2(3(z0)))), 1'(2(3(z0))), 2'(3(z0)), 3'(z0))
   3'(c_3(c_0(c_3(c_0(c_0(c_2(c_3(c_0(c_2(c_3(c_3(c_1(c_2(c_2(c_2(c_2(c_0(z0)))))))))))))))))) -> c87(3'(3(0(0(3(2(3(2(0(0(0(2(3(2(1(2(3(2(z0)))))))))))))))))), 3'(0(0(3(2(3(2(0(0(0(2(3(2(1(2(3(2(z0))))))))))))))))), 0'(0(3(2(3(2(0(0(0(2(3(2(1(2(3(2(z0)))))))))))))))), 0'(3(2(3(2(0(0(0(2(3(2(1(2(3(2(z0))))))))))))))), 3'(2(3(2(0(0(0(2(3(2(1(2(3(2(z0)))))))))))))), 2'(3(2(0(0(0(2(3(2(1(2(3(2(z0))))))))))))), 3'(2(0(0(0(2(3(2(1(2(3(2(z0)))))))))))), 2'(0(0(0(2(3(2(1(2(3(2(z0))))))))))), 0'(0(0(2(3(2(1(2(3(2(z0)))))))))), 0'(0(2(3(2(1(2(3(2(z0))))))))), 0'(2(3(2(1(2(3(2(z0)))))))), 2'(3(2(1(2(3(2(z0))))))), 3'(2(1(2(3(2(z0)))))), 2'(1(2(3(2(z0))))), 1'(2(3(2(z0)))), 2'(3(2(z0))), 3'(2(z0)), 2'(z0))
   3'(c_3(c_3(c_3(c_3(c_0(c_3(c_1(c_1(c_3(c_2(c_1(c_1(c_3(c_2(c_2(c_0(c_2(z0)))))))))))))))))) -> c88(3'(3(1(0(1(2(3(2(0(1(1(3(3(3(3(2(3(2(z0)))))))))))))))))), 3'(1(0(1(2(3(2(0(1(1(3(3(3(3(2(3(2(z0))))))))))))))))), 1'(0(1(2(3(2(0(1(1(3(3(3(3(2(3(2(z0)))))))))))))))), 0'(1(2(3(2(0(1(1(3(3(3(3(2(3(2(z0))))))))))))))), 1'(2(3(2(0(1(1(3(3(3(3(2(3(2(z0)))))))))))))), 2'(3(2(0(1(1(3(3(3(3(2(3(2(z0))))))))))))), 3'(2(0(1(1(3(3(3(3(2(3(2(z0)))))))))))), 2'(0(1(1(3(3(3(3(2(3(2(z0))))))))))), 0'(1(1(3(3(3(3(2(3(2(z0)))))))))), 1'(1(3(3(3(3(2(3(2(z0))))))))), 1'(3(3(3(3(2(3(2(z0)))))))), 3'(3(3(3(2(3(2(z0))))))), 3'(3(3(2(3(2(z0)))))), 3'(3(2(3(2(z0))))), 3'(2(3(2(z0)))), 2'(3(2(z0))), 3'(2(z0)), 2'(z0))
   3'(c_2(c_2(c_3(c_0(c_0(c_3(c_0(c_0(c_2(c_3(c_0(c_1(c_1(c_1(c_1(c_3(c_0(z0)))))))))))))))))) -> c89(3'(2(0(3(2(3(0(1(0(1(1(0(3(1(3(0(2(0(z0)))))))))))))))))), 2'(0(3(2(3(0(1(0(1(1(0(3(1(3(0(2(0(z0))))))))))))))))), 0'(3(2(3(0(1(0(1(1(0(3(1(3(0(2(0(z0)))))))))))))))), 3'(2(3(0(1(0(1(1(0(3(1(3(0(2(0(z0))))))))))))))), 2'(3(0(1(0(1(1(0(3(1(3(0(2(0(z0)))))))))))))), 3'(0(1(0(1(1(0(3(1(3(0(2(0(z0))))))))))))), 0'(1(0(1(1(0(3(1(3(0(2(0(z0)))))))))))), 1'(0(1(1(0(3(1(3(0(2(0(z0))))))))))), 0'(1(1(0(3(1(3(0(2(0(z0)))))))))), 1'(1(0(3(1(3(0(2(0(z0))))))))), 1'(0(3(1(3(0(2(0(z0)))))))), 0'(3(1(3(0(2(0(z0))))))), 3'(1(3(0(2(0(z0)))))), 1'(3(0(2(0(z0))))), 3'(0(2(0(z0)))), 0'(2(0(z0))), 2'(0(z0)), 0'(z0))
   3'(c_1(c_3(c_1(c_1(c_3(c_3(c_3(c_2(c_1(c_2(c_3(c_0(c_2(c_1(c_2(c_3(c_0(z0)))))))))))))))))) -> c90(3'(3(3(2(0(1(3(2(0(1(3(3(1(2(1(1(2(3(z0)))))))))))))))))), 3'(3(2(0(1(3(2(0(1(3(3(1(2(1(1(2(3(z0))))))))))))))))), 3'(2(0(1(3(2(0(1(3(3(1(2(1(1(2(3(z0)))))))))))))))), 2'(0(1(3(2(0(1(3(3(1(2(1(1(2(3(z0))))))))))))))), 0'(1(3(2(0(1(3(3(1(2(1(1(2(3(z0)))))))))))))), 1'(3(2(0(1(3(3(1(2(1(1(2(3(z0))))))))))))), 3'(2(0(1(3(3(1(2(1(1(2(3(z0)))))))))))), 2'(0(1(3(3(1(2(1(1(2(3(z0))))))))))), 0'(1(3(3(1(2(1(1(2(3(z0)))))))))), 1'(3(3(1(2(1(1(2(3(z0))))))))), 3'(3(1(2(1(1(2(3(z0)))))))), 3'(1(2(1(1(2(3(z0))))))), 1'(2(1(1(2(3(z0)))))), 2'(1(1(2(3(z0))))), 1'(1(2(3(z0)))), 1'(2(3(z0))), 2'(3(z0)), 3'(z0))
   3'(c_0(c_2(c_2(c_0(c_0(c_1(c_2(c_3(c_0(c_0(c_1(c_1(c_2(c_0(c_1(c_2(c_2(z0)))))))))))))))))) -> c91(2'(3(0(2(3(1(1(0(2(0(2(1(1(0(0(2(0(2(z0)))))))))))))))))), 3'(0(2(3(1(1(0(2(0(2(1(1(0(0(2(0(2(z0))))))))))))))))), 0'(2(3(1(1(0(2(0(2(1(1(0(0(2(0(2(z0)))))))))))))))), 2'(3(1(1(0(2(0(2(1(1(0(0(2(0(2(z0))))))))))))))), 3'(1(1(0(2(0(2(1(1(0(0(2(0(2(z0)))))))))))))), 1'(1(0(2(0(2(1(1(0(0(2(0(2(z0))))))))))))), 1'(0(2(0(2(1(1(0(0(2(0(2(z0)))))))))))), 0'(2(0(2(1(1(0(0(2(0(2(z0))))))))))), 2'(0(2(1(1(0(0(2(0(2(z0)))))))))), 0'(2(1(1(0(0(2(0(2(z0))))))))), 2'(1(1(0(0(2(0(2(z0)))))))), 1'(1(0(0(2(0(2(z0))))))), 1'(0(0(2(0(2(z0)))))), 0'(0(2(0(2(z0))))), 0'(2(0(2(z0)))), 2'(0(2(z0))), 0'(2(z0)), 2'(z0))
   ENCODE_0(z0) -> c8(0'(encArg(z0)))
   ENCODE_3(z0) -> c8(3'(encArg(z0)))
   ENCODE_1(z0) -> c8(1'(encArg(z0)))
   ENCODE_2(z0) -> c8(2'(encArg(z0)))
S tuples:
   0'(c_0(c_0(c_1(c_0(c_0(c_0(c_2(c_1(c_1(c_2(c_0(c_1(c_0(c_1(c_2(c_0(c_0(z0)))))))))))))))))) -> c9(0'(1(0(1(1(0(0(2(1(1(0(0(2(0(2(0(0(0(z0)))))))))))))))))), 1'(0(1(1(0(0(2(1(1(0(0(2(0(2(0(0(0(z0))))))))))))))))), 0'(1(1(0(0(2(1(1(0(0(2(0(2(0(0(0(z0)))))))))))))))), 1'(1(0(0(2(1(1(0(0(2(0(2(0(0(0(z0))))))))))))))), 1'(0(0(2(1(1(0(0(2(0(2(0(0(0(z0)))))))))))))), 0'(0(2(1(1(0(0(2(0(2(0(0(0(z0))))))))))))), 0'(2(1(1(0(0(2(0(2(0(0(0(z0)))))))))))), 2'(1(1(0(0(2(0(2(0(0(0(z0))))))))))), 1'(1(0(0(2(0(2(0(0(0(z0)))))))))), 1'(0(0(2(0(2(0(0(0(z0))))))))), 0'(0(2(0(2(0(0(0(z0)))))))), 0'(2(0(2(0(0(0(z0))))))), 2'(0(2(0(0(0(z0)))))), 0'(2(0(0(0(z0))))), 2'(0(0(0(z0)))), 0'(0(0(z0))), 0'(0(z0)), 0'(z0))
   0'(c_0(c_1(c_3(c_2(c_1(c_0(c_0(c_3(c_2(c_3(c_1(c_3(c_0(c_0(c_2(c_0(c_0(z0)))))))))))))))))) -> c10(0'(0(2(3(2(0(1(0(2(1(0(1(0(3(0(3(0(3(z0)))))))))))))))))), 0'(2(3(2(0(1(0(2(1(0(1(0(3(0(3(0(3(z0))))))))))))))))), 2'(3(2(0(1(0(2(1(0(1(0(3(0(3(0(3(z0)))))))))))))))), 3'(2(0(1(0(2(1(0(1(0(3(0(3(0(3(z0))))))))))))))), 2'(0(1(0(2(1(0(1(0(3(0(3(0(3(z0)))))))))))))), 0'(1(0(2(1(0(1(0(3(0(3(0(3(z0))))))))))))), 1'(0(2(1(0(1(0(3(0(3(0(3(z0)))))))))))), 0'(2(1(0(1(0(3(0(3(0(3(z0))))))))))), 2'(1(0(1(0(3(0(3(0(3(z0)))))))))), 1'(0(1(0(3(0(3(0(3(z0))))))))), 0'(1(0(3(0(3(0(3(z0)))))))), 1'(0(3(0(3(0(3(z0))))))), 0'(3(0(3(0(3(z0)))))), 3'(0(3(0(3(z0))))), 0'(3(0(3(z0)))), 3'(0(3(z0))), 0'(3(z0)), 3'(z0))
   0'(c_3(c_1(c_2(c_3(c_1(c_0(c_3(c_3(c_3(c_1(c_3(c_0(c_3(c_2(c_2(c_1(c_2(z0)))))))))))))))))) -> c11(1'(0(3(1(0(3(3(3(3(2(3(2(3(2(0(2(1(1(z0)))))))))))))))))), 0'(3(1(0(3(3(3(3(2(3(2(3(2(0(2(1(1(z0))))))))))))))))), 3'(1(0(3(3(3(3(2(3(2(3(2(0(2(1(1(z0)))))))))))))))), 1'(0(3(3(3(3(2(3(2(3(2(0(2(1(1(z0))))))))))))))), 0'(3(3(3(3(2(3(2(3(2(0(2(1(1(z0)))))))))))))), 3'(3(3(3(2(3(2(3(2(0(2(1(1(z0))))))))))))), 3'(3(3(2(3(2(3(2(0(2(1(1(z0)))))))))))), 3'(3(2(3(2(3(2(0(2(1(1(z0))))))))))), 3'(2(3(2(3(2(0(2(1(1(z0)))))))))), 2'(3(2(3(2(0(2(1(1(z0))))))))), 3'(2(3(2(0(2(1(1(z0)))))))), 2'(3(2(0(2(1(1(z0))))))), 3'(2(0(2(1(1(z0)))))), 2'(0(2(1(1(z0))))), 0'(2(1(1(z0)))), 2'(1(1(z0))), 1'(1(z0)), 1'(z0))
   0'(c_0(c_3(c_0(c_3(c_1(c_2(c_0(c_3(c_0(c_3(c_1(c_0(c_0(c_1(c_0(c_1(c_3(z0)))))))))))))))))) -> c12(0'(3(0(0(3(3(0(1(0(3(0(1(0(0(2(1(1(3(z0)))))))))))))))))), 3'(0(0(3(3(0(1(0(3(0(1(0(0(2(1(1(3(z0))))))))))))))))), 0'(0(3(3(0(1(0(3(0(1(0(0(2(1(1(3(z0)))))))))))))))), 0'(3(3(0(1(0(3(0(1(0(0(2(1(1(3(z0))))))))))))))), 3'(3(0(1(0(3(0(1(0(0(2(1(1(3(z0)))))))))))))), 3'(0(1(0(3(0(1(0(0(2(1(1(3(z0))))))))))))), 0'(1(0(3(0(1(0(0(2(1(1(3(z0)))))))))))), 1'(0(3(0(1(0(0(2(1(1(3(z0))))))))))), 0'(3(0(1(0(0(2(1(1(3(z0)))))))))), 3'(0(1(0(0(2(1(1(3(z0))))))))), 0'(1(0(0(2(1(1(3(z0)))))))), 1'(0(0(2(1(1(3(z0))))))), 0'(0(2(1(1(3(z0)))))), 0'(2(1(1(3(z0))))), 2'(1(1(3(z0)))), 1'(1(3(z0))), 1'(3(z0)), 3'(z0))
   0'(c_2(c_3(c_3(c_1(c_0(c_3(c_0(c_0(c_0(c_2(c_0(c_1(c_3(c_1(c_3(c_3(c_0(z0)))))))))))))))))) -> c13(0'(3(0(3(3(2(3(2(3(0(0(0(0(1(1(1(3(0(z0)))))))))))))))))), 3'(0(3(3(2(3(2(3(0(0(0(0(1(1(1(3(0(z0))))))))))))))))), 0'(3(3(2(3(2(3(0(0(0(0(1(1(1(3(0(z0)))))))))))))))), 3'(3(2(3(2(3(0(0(0(0(1(1(1(3(0(z0))))))))))))))), 3'(2(3(2(3(0(0(0(0(1(1(1(3(0(z0)))))))))))))), 2'(3(2(3(0(0(0(0(1(1(1(3(0(z0))))))))))))), 3'(2(3(0(0(0(0(1(1(1(3(0(z0)))))))))))), 2'(3(0(0(0(0(1(1(1(3(0(z0))))))))))), 3'(0(0(0(0(1(1(1(3(0(z0)))))))))), 0'(0(0(0(1(1(1(3(0(z0))))))))), 0'(0(0(1(1(1(3(0(z0)))))))), 0'(0(1(1(1(3(0(z0))))))), 0'(1(1(1(3(0(z0)))))), 1'(1(1(3(0(z0))))), 1'(1(3(0(z0)))), 1'(3(0(z0))), 3'(0(z0)), 0'(z0))
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   3'(c_0(c_1(c_0(c_3(c_1(c_2(c_2(c_0(c_1(c_1(c_1(c_3(c_3(c_0(c_2(c_3(c_0(z0)))))))))))))))))) -> c82(0'(3(3(2(1(0(0(2(3(3(1(1(0(1(1(3(2(0(z0)))))))))))))))))), 3'(3(2(1(0(0(2(3(3(1(1(0(1(1(3(2(0(z0))))))))))))))))), 3'(2(1(0(0(2(3(3(1(1(0(1(1(3(2(0(z0)))))))))))))))), 2'(1(0(0(2(3(3(1(1(0(1(1(3(2(0(z0))))))))))))))), 1'(0(0(2(3(3(1(1(0(1(1(3(2(0(z0)))))))))))))), 0'(0(2(3(3(1(1(0(1(1(3(2(0(z0))))))))))))), 0'(2(3(3(1(1(0(1(1(3(2(0(z0)))))))))))), 2'(3(3(1(1(0(1(1(3(2(0(z0))))))))))), 3'(3(1(1(0(1(1(3(2(0(z0)))))))))), 3'(1(1(0(1(1(3(2(0(z0))))))))), 1'(1(0(1(1(3(2(0(z0)))))))), 1'(0(1(1(3(2(0(z0))))))), 0'(1(1(3(2(0(z0)))))), 1'(1(3(2(0(z0))))), 1'(3(2(0(z0)))), 3'(2(0(z0))), 2'(0(z0)), 0'(z0))
   3'(c_1(c_2(c_0(c_1(c_2(c_0(c_3(c_1(c_2(c_1(c_0(c_0(c_2(c_0(c_3(c_0(c_2(z0)))))))))))))))))) -> c83(3'(1(0(2(2(1(3(0(0(2(0(3(2(1(1(0(2(0(z0)))))))))))))))))), 1'(0(2(2(1(3(0(0(2(0(3(2(1(1(0(2(0(z0))))))))))))))))), 0'(2(2(1(3(0(0(2(0(3(2(1(1(0(2(0(z0)))))))))))))))), 2'(2(1(3(0(0(2(0(3(2(1(1(0(2(0(z0))))))))))))))), 2'(1(3(0(0(2(0(3(2(1(1(0(2(0(z0)))))))))))))), 1'(3(0(0(2(0(3(2(1(1(0(2(0(z0))))))))))))), 3'(0(0(2(0(3(2(1(1(0(2(0(z0)))))))))))), 0'(0(2(0(3(2(1(1(0(2(0(z0))))))))))), 0'(2(0(3(2(1(1(0(2(0(z0)))))))))), 2'(0(3(2(1(1(0(2(0(z0))))))))), 0'(3(2(1(1(0(2(0(z0)))))))), 3'(2(1(1(0(2(0(z0))))))), 2'(1(1(0(2(0(z0)))))), 1'(1(0(2(0(z0))))), 1'(0(2(0(z0)))), 0'(2(0(z0))), 2'(0(z0)), 0'(z0))
   3'(c_1(c_3(c_1(c_1(c_3(c_0(c_2(c_0(c_0(c_3(c_0(c_2(c_3(c_1(c_2(c_2(c_2(z0)))))))))))))))))) -> c84(3'(1(3(1(0(3(3(2(1(2(1(2(0(2(3(2(0(0(z0)))))))))))))))))), 1'(3(1(0(3(3(2(1(2(1(2(0(2(3(2(0(0(z0))))))))))))))))), 3'(1(0(3(3(2(1(2(1(2(0(2(3(2(0(0(z0)))))))))))))))), 1'(0(3(3(2(1(2(1(2(0(2(3(2(0(0(z0))))))))))))))), 0'(3(3(2(1(2(1(2(0(2(3(2(0(0(z0)))))))))))))), 3'(3(2(1(2(1(2(0(2(3(2(0(0(z0))))))))))))), 3'(2(1(2(1(2(0(2(3(2(0(0(z0)))))))))))), 2'(1(2(1(2(0(2(3(2(0(0(z0))))))))))), 1'(2(1(2(0(2(3(2(0(0(z0)))))))))), 2'(1(2(0(2(3(2(0(0(z0))))))))), 1'(2(0(2(3(2(0(0(z0)))))))), 2'(0(2(3(2(0(0(z0))))))), 0'(2(3(2(0(0(z0)))))), 2'(3(2(0(0(z0))))), 3'(2(0(0(z0)))), 2'(0(0(z0))), 0'(0(z0)), 0'(z0))
   3'(c_0(c_1(c_2(c_2(c_3(c_0(c_1(c_2(c_1(c_3(c_1(c_3(c_3(c_3(c_1(c_1(c_3(z0)))))))))))))))))) -> c85(0'(2(1(3(3(3(2(1(1(0(1(3(3(2(1(1(3(3(z0)))))))))))))))))), 2'(1(3(3(3(2(1(1(0(1(3(3(2(1(1(3(3(z0))))))))))))))))), 1'(3(3(3(2(1(1(0(1(3(3(2(1(1(3(3(z0)))))))))))))))), 3'(3(3(2(1(1(0(1(3(3(2(1(1(3(3(z0))))))))))))))), 3'(3(2(1(1(0(1(3(3(2(1(1(3(3(z0)))))))))))))), 3'(2(1(1(0(1(3(3(2(1(1(3(3(z0))))))))))))), 2'(1(1(0(1(3(3(2(1(1(3(3(z0)))))))))))), 1'(1(0(1(3(3(2(1(1(3(3(z0))))))))))), 1'(0(1(3(3(2(1(1(3(3(z0)))))))))), 0'(1(3(3(2(1(1(3(3(z0))))))))), 1'(3(3(2(1(1(3(3(z0)))))))), 3'(3(2(1(1(3(3(z0))))))), 3'(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_2(c_0(c_3(c_1(c_1(c_3(c_2(c_1(c_3(c_0(c_2(c_0(c_2(c_1(c_1(c_3(z0)))))))))))))))))) -> c86(1'(3(3(2(0(0(0(1(3(3(2(0(1(1(2(1(2(3(z0)))))))))))))))))), 3'(3(2(0(0(0(1(3(3(2(0(1(1(2(1(2(3(z0))))))))))))))))), 3'(2(0(0(0(1(3(3(2(0(1(1(2(1(2(3(z0)))))))))))))))), 2'(0(0(0(1(3(3(2(0(1(1(2(1(2(3(z0))))))))))))))), 0'(0(0(1(3(3(2(0(1(1(2(1(2(3(z0)))))))))))))), 0'(0(1(3(3(2(0(1(1(2(1(2(3(z0))))))))))))), 0'(1(3(3(2(0(1(1(2(1(2(3(z0)))))))))))), 1'(3(3(2(0(1(1(2(1(2(3(z0))))))))))), 3'(3(2(0(1(1(2(1(2(3(z0)))))))))), 3'(2(0(1(1(2(1(2(3(z0))))))))), 2'(0(1(1(2(1(2(3(z0)))))))), 0'(1(1(2(1(2(3(z0))))))), 1'(1(2(1(2(3(z0)))))), 1'(2(1(2(3(z0))))), 2'(1(2(3(z0)))), 1'(2(3(z0))), 2'(3(z0)), 3'(z0))
   3'(c_3(c_0(c_3(c_0(c_0(c_2(c_3(c_0(c_2(c_3(c_3(c_1(c_2(c_2(c_2(c_2(c_0(z0)))))))))))))))))) -> c87(3'(3(0(0(3(2(3(2(0(0(0(2(3(2(1(2(3(2(z0)))))))))))))))))), 3'(0(0(3(2(3(2(0(0(0(2(3(2(1(2(3(2(z0))))))))))))))))), 0'(0(3(2(3(2(0(0(0(2(3(2(1(2(3(2(z0)))))))))))))))), 0'(3(2(3(2(0(0(0(2(3(2(1(2(3(2(z0))))))))))))))), 3'(2(3(2(0(0(0(2(3(2(1(2(3(2(z0)))))))))))))), 2'(3(2(0(0(0(2(3(2(1(2(3(2(z0))))))))))))), 3'(2(0(0(0(2(3(2(1(2(3(2(z0)))))))))))), 2'(0(0(0(2(3(2(1(2(3(2(z0))))))))))), 0'(0(0(2(3(2(1(2(3(2(z0)))))))))), 0'(0(2(3(2(1(2(3(2(z0))))))))), 0'(2(3(2(1(2(3(2(z0)))))))), 2'(3(2(1(2(3(2(z0))))))), 3'(2(1(2(3(2(z0)))))), 2'(1(2(3(2(z0))))), 1'(2(3(2(z0)))), 2'(3(2(z0))), 3'(2(z0)), 2'(z0))
   3'(c_3(c_3(c_3(c_3(c_0(c_3(c_1(c_1(c_3(c_2(c_1(c_1(c_3(c_2(c_2(c_0(c_2(z0)))))))))))))))))) -> c88(3'(3(1(0(1(2(3(2(0(1(1(3(3(3(3(2(3(2(z0)))))))))))))))))), 3'(1(0(1(2(3(2(0(1(1(3(3(3(3(2(3(2(z0))))))))))))))))), 1'(0(1(2(3(2(0(1(1(3(3(3(3(2(3(2(z0)))))))))))))))), 0'(1(2(3(2(0(1(1(3(3(3(3(2(3(2(z0))))))))))))))), 1'(2(3(2(0(1(1(3(3(3(3(2(3(2(z0)))))))))))))), 2'(3(2(0(1(1(3(3(3(3(2(3(2(z0))))))))))))), 3'(2(0(1(1(3(3(3(3(2(3(2(z0)))))))))))), 2'(0(1(1(3(3(3(3(2(3(2(z0))))))))))), 0'(1(1(3(3(3(3(2(3(2(z0)))))))))), 1'(1(3(3(3(3(2(3(2(z0))))))))), 1'(3(3(3(3(2(3(2(z0)))))))), 3'(3(3(3(2(3(2(z0))))))), 3'(3(3(2(3(2(z0)))))), 3'(3(2(3(2(z0))))), 3'(2(3(2(z0)))), 2'(3(2(z0))), 3'(2(z0)), 2'(z0))
   3'(c_2(c_2(c_3(c_0(c_0(c_3(c_0(c_0(c_2(c_3(c_0(c_1(c_1(c_1(c_1(c_3(c_0(z0)))))))))))))))))) -> c89(3'(2(0(3(2(3(0(1(0(1(1(0(3(1(3(0(2(0(z0)))))))))))))))))), 2'(0(3(2(3(0(1(0(1(1(0(3(1(3(0(2(0(z0))))))))))))))))), 0'(3(2(3(0(1(0(1(1(0(3(1(3(0(2(0(z0)))))))))))))))), 3'(2(3(0(1(0(1(1(0(3(1(3(0(2(0(z0))))))))))))))), 2'(3(0(1(0(1(1(0(3(1(3(0(2(0(z0)))))))))))))), 3'(0(1(0(1(1(0(3(1(3(0(2(0(z0))))))))))))), 0'(1(0(1(1(0(3(1(3(0(2(0(z0)))))))))))), 1'(0(1(1(0(3(1(3(0(2(0(z0))))))))))), 0'(1(1(0(3(1(3(0(2(0(z0)))))))))), 1'(1(0(3(1(3(0(2(0(z0))))))))), 1'(0(3(1(3(0(2(0(z0)))))))), 0'(3(1(3(0(2(0(z0))))))), 3'(1(3(0(2(0(z0)))))), 1'(3(0(2(0(z0))))), 3'(0(2(0(z0)))), 0'(2(0(z0))), 2'(0(z0)), 0'(z0))
   3'(c_1(c_3(c_1(c_1(c_3(c_3(c_3(c_2(c_1(c_2(c_3(c_0(c_2(c_1(c_2(c_3(c_0(z0)))))))))))))))))) -> c90(3'(3(3(2(0(1(3(2(0(1(3(3(1(2(1(1(2(3(z0)))))))))))))))))), 3'(3(2(0(1(3(2(0(1(3(3(1(2(1(1(2(3(z0))))))))))))))))), 3'(2(0(1(3(2(0(1(3(3(1(2(1(1(2(3(z0)))))))))))))))), 2'(0(1(3(2(0(1(3(3(1(2(1(1(2(3(z0))))))))))))))), 0'(1(3(2(0(1(3(3(1(2(1(1(2(3(z0)))))))))))))), 1'(3(2(0(1(3(3(1(2(1(1(2(3(z0))))))))))))), 3'(2(0(1(3(3(1(2(1(1(2(3(z0)))))))))))), 2'(0(1(3(3(1(2(1(1(2(3(z0))))))))))), 0'(1(3(3(1(2(1(1(2(3(z0)))))))))), 1'(3(3(1(2(1(1(2(3(z0))))))))), 3'(3(1(2(1(1(2(3(z0)))))))), 3'(1(2(1(1(2(3(z0))))))), 1'(2(1(1(2(3(z0)))))), 2'(1(1(2(3(z0))))), 1'(1(2(3(z0)))), 1'(2(3(z0))), 2'(3(z0)), 3'(z0))
   3'(c_0(c_2(c_2(c_0(c_0(c_1(c_2(c_3(c_0(c_0(c_1(c_1(c_2(c_0(c_1(c_2(c_2(z0)))))))))))))))))) -> c91(2'(3(0(2(3(1(1(0(2(0(2(1(1(0(0(2(0(2(z0)))))))))))))))))), 3'(0(2(3(1(1(0(2(0(2(1(1(0(0(2(0(2(z0))))))))))))))))), 0'(2(3(1(1(0(2(0(2(1(1(0(0(2(0(2(z0)))))))))))))))), 2'(3(1(1(0(2(0(2(1(1(0(0(2(0(2(z0))))))))))))))), 3'(1(1(0(2(0(2(1(1(0(0(2(0(2(z0)))))))))))))), 1'(1(0(2(0(2(1(1(0(0(2(0(2(z0))))))))))))), 1'(0(2(0(2(1(1(0(0(2(0(2(z0)))))))))))), 0'(2(0(2(1(1(0(0(2(0(2(z0))))))))))), 2'(0(2(1(1(0(0(2(0(2(z0)))))))))), 0'(2(1(1(0(0(2(0(2(z0))))))))), 2'(1(1(0(0(2(0(2(z0)))))))), 1'(1(0(0(2(0(2(z0))))))), 1'(0(0(2(0(2(z0)))))), 0'(0(2(0(2(z0))))), 0'(2(0(2(z0)))), 2'(0(2(z0))), 0'(2(z0)), 2'(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_3_1, ENCODE_1_1, ENCODE_2_1

Compound Symbols:   c_2, c1_2, c2_2, c3_2, c9_18, c10_18, c11_18, c12_18, c13_18, c14_18, c15_18, c16_18, c17_18, c18_18, c19_18, c20_18, c21_18, c22_18, c23_18, c24_18, c25_18, c26_18, c27_18, c28_18, c29_18, c30_18, c31_18, c33_18, c34_18, c35_18, c36_18, c37_18, c38_18, c39_18, c40_18, c41_18, c42_18, c43_18, c44_18, c45_18, c46_18, c47_18, c48_18, c49_18, c50_18, c51_18, c52_18, c53_18, c55_18, c56_18, c57_18, c58_18, c59_18, c60_18, c61_18, c62_18, c63_18, c64_18, c65_18, c66_18, c67_18, c68_18, c69_18, c70_18, c71_18, c72_18, c73_18, c75_18, c76_18, c77_18, c78_18, c79_18, c80_18, c81_18, c82_18, c83_18, c84_18, c85_18, c86_18, c87_18, c88_18, c89_18, c90_18, c91_18, 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_0(c_0(c_1(c_0(c_0(c_0(c_2(c_1(c_1(c_2(c_0(c_1(c_0(c_1(c_2(c_0(c_0(z0)))))))))))))))))) -> 0(1(0(1(1(0(0(2(1(1(0(0(2(0(2(0(0(0(z0))))))))))))))))))
   0(c_0(c_1(c_3(c_2(c_1(c_0(c_0(c_3(c_2(c_3(c_1(c_3(c_0(c_0(c_2(c_0(c_0(z0)))))))))))))))))) -> 0(0(2(3(2(0(1(0(2(1(0(1(0(3(0(3(0(3(z0))))))))))))))))))
   0(c_3(c_1(c_2(c_3(c_1(c_0(c_3(c_3(c_3(c_1(c_3(c_0(c_3(c_2(c_2(c_1(c_2(z0)))))))))))))))))) -> 1(0(3(1(0(3(3(3(3(2(3(2(3(2(0(2(1(1(z0))))))))))))))))))
   0(c_0(c_3(c_0(c_3(c_1(c_2(c_0(c_3(c_0(c_3(c_1(c_0(c_0(c_1(c_0(c_1(c_3(z0)))))))))))))))))) -> 0(3(0(0(3(3(0(1(0(3(0(1(0(0(2(1(1(3(z0))))))))))))))))))
   0(c_2(c_3(c_3(c_1(c_0(c_3(c_0(c_0(c_0(c_2(c_0(c_1(c_3(c_1(c_3(c_3(c_0(z0)))))))))))))))))) -> 0(3(0(3(3(2(3(2(3(0(0(0(0(1(1(1(3(0(z0))))))))))))))))))
   0(c_0(c_1(c_3(c_1(c_0(c_3(c_1(c_1(c_3(c_1(c_2(c_3(c_1(c_2(c_2(c_1(c_1(z0)))))))))))))))))) -> 0(3(0(2(1(0(3(2(1(1(2(1(3(1(3(1(1(1(z0))))))))))))))))))
   0(c_0(c_3(c_2(c_1(c_3(c_1(c_3(c_3(c_0(c_1(c_2(c_0(c_0(c_0(c_2(c_0(c_2(z0)))))))))))))))))) -> 0(3(0(0(2(1(3(1(2(3(2(1(0(0(0(3(2(0(z0))))))))))))))))))
   0(c_3(c_3(c_3(c_1(c_2(c_0(c_0(c_3(c_2(c_0(c_1(c_2(c_1(c_3(c_0(c_2(c_0(z0)))))))))))))))))) -> 0(2(1(0(1(0(1(0(0(3(3(2(3(0(2(3(2(3(z0))))))))))))))))))
   0(c_0(c_1(c_2(c_0(c_0(c_3(c_3(c_2(c_1(c_3(c_3(c_3(c_1(c_1(c_1(c_1(c_2(z0)))))))))))))))))) -> 0(0(3(3(1(0(2(3(2(1(1(3(1(1(1(3(2(0(z0))))))))))))))))))
   0(c_0(c_1(c_1(c_1(c_3(c_2(c_2(c_2(c_1(c_3(c_2(c_3(c_0(c_0(c_0(c_0(c_0(z0)))))))))))))))))) -> 1(0(0(3(2(0(1(3(2(0(0(2(3(1(0(2(1(0(z0))))))))))))))))))
   0(c_3(c_0(c_3(c_2(c_2(c_0(c_3(c_3(c_1(c_0(c_0(c_3(c_0(c_3(c_0(c_1(c_0(z0)))))))))))))))))) -> 0(3(0(0(3(3(3(2(1(3(2(0(0(1(3(0(0(0(z0))))))))))))))))))
   0(c_0(c_0(c_3(c_0(c_3(c_0(c_1(c_2(c_1(c_0(c_0(c_0(c_1(c_2(c_3(c_3(c_3(z0)))))))))))))))))) -> 0(0(0(2(3(0(0(0(0(1(1(3(1(0(2(3(3(3(z0))))))))))))))))))
   0(c_0(c_3(c_0(c_3(c_3(c_3(c_1(c_1(c_1(c_3(c_1(c_1(c_2(c_1(c_2(c_3(c_0(z0)))))))))))))))))) -> 0(3(3(1(2(1(3(0(3(3(2(0(1(1(0(1(1(3(z0))))))))))))))))))
   0(c_0(c_1(c_0(c_1(c_1(c_1(c_0(c_2(c_2(c_3(c_3(c_1(c_3(c_0(c_2(c_1(c_0(z0)))))))))))))))))) -> 0(0(1(1(1(3(3(3(2(1(1(0(0(1(2(0(2(0(z0))))))))))))))))))
   0(c_0(c_0(c_0(c_3(c_0(c_3(c_1(c_3(c_1(c_2(c_2(c_1(c_3(c_1(c_0(c_0(c_2(z0)))))))))))))))))) -> 0(0(3(3(2(1(3(0(0(1(1(2(0(0(1(0(2(3(z0))))))))))))))))))
   0(c_0(c_1(c_2(c_0(c_1(c_0(c_1(c_1(c_0(c_1(c_2(c_2(c_3(c_3(c_1(c_2(c_2(z0)))))))))))))))))) -> 0(2(0(1(2(3(1(1(0(0(2(3(2(1(1(1(0(2(z0))))))))))))))))))
   0(c_2(c_2(c_3(c_2(c_3(c_2(c_2(c_2(c_2(c_2(c_3(c_3(c_0(c_0(c_0(c_0(c_3(z0)))))))))))))))))) -> 0(2(0(3(2(2(0(3(3(3(2(2(2(0(2(0(2(3(z0))))))))))))))))))
   0(c_0(c_2(c_3(c_3(c_3(c_0(c_0(c_1(c_1(c_2(c_2(c_0(c_3(c_2(c_3(c_3(c_0(z0)))))))))))))))))) -> 0(3(0(2(3(0(1(3(3(2(0(0(3(3(2(1(2(0(z0))))))))))))))))))
   0(c_1(c_3(c_0(c_1(c_0(c_1(c_1(c_2(c_2(c_2(c_3(c_3(c_0(c_3(c_0(c_0(c_0(z0)))))))))))))))))) -> 0(2(1(0(0(3(2(0(0(3(3(3(1(1(0(1(2(0(z0))))))))))))))))))
   0(c_1(c_2(c_3(c_0(c_2(c_1(c_2(c_3(c_0(c_0(c_3(c_0(c_1(c_0(c_1(c_3(c_0(z0)))))))))))))))))) -> 0(2(0(0(0(2(3(3(1(1(3(2(0(3(0(0(1(1(z0))))))))))))))))))
   0(c_0(c_3(c_0(c_2(c_0(c_1(c_1(c_3(c_1(c_0(c_2(c_0(c_0(c_0(c_2(c_1(c_1(z0)))))))))))))))))) -> 0(3(1(0(3(2(0(1(0(1(0(0(2(0(1(2(0(1(z0))))))))))))))))))
   0(c_0(c_3(c_3(c_1(c_2(c_3(c_0(c_2(c_3(c_3(c_3(c_0(c_0(c_3(c_2(c_2(c_3(z0)))))))))))))))))) -> 3(0(3(3(2(0(2(3(2(0(3(1(3(3(2(0(0(3(z0))))))))))))))))))
   0(c_0(c_2(c_2(c_1(c_1(c_3(c_0(c_2(c_2(c_2(c_2(c_0(c_3(c_3(c_0(c_1(c_0(z0)))))))))))))))))) -> 0(2(2(1(1(0(2(3(0(0(2(0(2(1(3(2(3(0(z0))))))))))))))))))
   1(z0) -> c_1(z0)
   1(c_3(c_0(c_3(c_3(c_0(c_2(c_3(c_1(c_0(c_0(c_0(c_3(c_2(c_1(c_2(c_3(c_3(z0)))))))))))))))))) -> 1(3(0(2(0(0(3(1(0(2(1(0(2(3(3(3(3(3(z0))))))))))))))))))
   1(c_2(c_1(c_2(c_2(c_0(c_1(c_3(c_0(c_2(c_3(c_2(c_2(c_3(c_2(c_3(c_3(c_0(z0)))))))))))))))))) -> 1(2(0(3(0(2(2(1(3(3(2(2(2(3(3(2(1(0(z0))))))))))))))))))
   1(c_2(c_0(c_0(c_1(c_1(c_0(c_1(c_2(c_0(c_1(c_1(c_2(c_0(c_0(c_3(c_3(c_1(z0)))))))))))))))))) -> 1(1(1(0(1(0(1(0(1(0(0(2(0(1(3(3(2(2(z0))))))))))))))))))
   1(c_0(c_0(c_0(c_3(c_0(c_0(c_1(c_3(c_1(c_2(c_1(c_2(c_2(c_1(c_2(c_3(c_1(z0)))))))))))))))))) -> 1(3(0(0(0(3(2(1(2(1(0(0(1(3(2(2(1(1(z0))))))))))))))))))
   1(c_0(c_2(c_3(c_1(c_3(c_2(c_2(c_3(c_1(c_2(c_0(c_1(c_0(c_3(c_0(c_0(c_0(z0)))))))))))))))))) -> 1(0(3(3(2(1(3(2(3(0(1(2(0(0(2(1(0(0(z0))))))))))))))))))
   1(c_3(c_1(c_2(c_2(c_2(c_0(c_3(c_3(c_2(c_1(c_0(c_3(c_3(c_0(c_0(c_3(c_0(z0)))))))))))))))))) -> 1(3(2(3(0(2(3(3(3(0(0(2(0(1(3(2(1(0(z0))))))))))))))))))
   1(c_2(c_1(c_3(c_1(c_1(c_3(c_0(c_3(c_1(c_1(c_1(c_1(c_1(c_3(c_0(c_1(c_3(z0)))))))))))))))))) -> 1(0(1(1(0(3(1(3(3(1(1(3(2(1(1(1(1(3(z0))))))))))))))))))
   1(c_3(c_1(c_1(c_1(c_2(c_0(c_2(c_1(c_2(c_0(c_3(c_3(c_1(c_2(c_2(c_3(c_1(z0)))))))))))))))))) -> 1(2(1(2(1(2(2(1(1(1(1(0(3(3(3(0(3(2(z0))))))))))))))))))
   1(c_3(c_0(c_0(c_1(c_2(c_3(c_3(c_2(c_3(c_1(c_1(c_3(c_1(c_0(c_3(c_1(c_2(z0)))))))))))))))))) -> 1(1(2(3(3(3(3(1(1(0(2(0(1(3(3(2(0(1(z0))))))))))))))))))
   1(c_1(c_1(c_2(c_1(c_2(c_3(c_0(c_0(c_2(c_3(c_0(c_3(c_1(c_3(c_2(c_0(c_2(z0)))))))))))))))))) -> 1(1(1(3(0(2(0(2(0(2(3(2(0(3(3(1(1(2(z0))))))))))))))))))
   1(c_0(c_3(c_3(c_3(c_0(c_2(c_3(c_0(c_2(c_1(c_1(c_0(c_3(c_3(c_1(c_3(c_1(z0)))))))))))))))))) -> 1(3(3(1(1(1(0(3(0(0(3(3(3(2(3(2(0(1(z0))))))))))))))))))
   1(c_2(c_2(c_3(c_2(c_1(c_3(c_0(c_3(c_1(c_3(c_3(c_1(c_3(c_0(c_3(c_3(c_3(z0)))))))))))))))))) -> 1(3(3(1(1(2(0(3(3(2(3(1(3(2(0(3(3(3(z0))))))))))))))))))
   1(c_2(c_1(c_2(c_3(c_0(c_3(c_0(c_2(c_2(c_0(c_2(c_3(c_2(c_0(c_1(c_1(c_2(z0)))))))))))))))))) -> 1(0(1(3(2(2(0(2(1(2(1(3(2(0(2(3(0(2(z0))))))))))))))))))
   1(c_2(c_2(c_3(c_3(c_0(c_1(c_2(c_1(c_0(c_3(c_1(c_2(c_3(c_1(c_1(c_2(c_2(z0)))))))))))))))))) -> 1(3(3(2(3(3(1(2(2(0(1(2(2(2(1(1(1(0(z0))))))))))))))))))
   1(c_3(c_3(c_0(c_3(c_1(c_0(c_1(c_3(c_1(c_2(c_2(c_0(c_3(c_1(c_1(c_0(c_0(z0)))))))))))))))))) -> 1(3(2(0(3(0(0(0(3(2(1(3(1(1(1(1(3(0(z0))))))))))))))))))
   1(c_1(c_2(c_1(c_3(c_0(c_2(c_1(c_0(c_0(c_3(c_0(c_1(c_2(c_2(c_0(c_3(c_3(z0)))))))))))))))))) -> 1(0(3(2(1(0(3(3(1(0(2(2(0(1(0(2(1(3(z0))))))))))))))))))
   1(c_2(c_1(c_0(c_1(c_3(c_0(c_3(c_3(c_1(c_3(c_1(c_2(c_2(c_3(c_0(c_2(c_0(z0)))))))))))))))))) -> 1(1(3(3(2(0(0(3(2(1(2(3(3(2(0(1(1(0(z0))))))))))))))))))
   1(c_0(c_3(c_0(c_2(c_3(c_0(c_3(c_1(c_3(c_1(c_1(c_2(c_0(c_3(c_0(c_3(c_0(z0)))))))))))))))))) -> 1(0(1(0(2(3(0(3(0(3(0(3(3(1(0(2(1(3(z0))))))))))))))))))
   1(c_2(c_3(c_1(c_3(c_0(c_1(c_1(c_3(c_1(c_3(c_1(c_2(c_0(c_3(c_2(c_3(c_0(z0)))))))))))))))))) -> 1(1(3(2(1(3(3(0(2(0(3(3(1(1(3(2(0(1(z0))))))))))))))))))
   1(c_1(c_2(c_3(c_3(c_1(c_0(c_0(c_3(c_1(c_3(c_3(c_3(c_0(c_0(c_1(c_3(c_1(z0)))))))))))))))))) -> 1(3(0(2(3(3(3(1(1(0(3(3(3(0(1(1(0(1(z0))))))))))))))))))
   1(c_3(c_1(c_2(c_0(c_1(c_2(c_0(c_0(c_1(c_0(c_0(c_2(c_3(c_0(c_1(c_1(c_2(z0)))))))))))))))))) -> 1(3(2(2(0(2(1(0(1(0(0(1(2(0(1(1(3(0(z0))))))))))))))))))
   2(z0) -> c_2(z0)
   2(c_3(c_1(c_1(c_2(c_0(c_2(c_0(c_3(c_2(c_2(c_3(c_1(c_2(c_2(c_3(c_0(c_0(z0)))))))))))))))))) -> 2(2(2(2(1(3(0(2(0(3(2(1(0(1(0(3(2(3(z0))))))))))))))))))
   2(c_2(c_0(c_2(c_3(c_3(c_2(c_2(c_0(c_3(c_1(c_0(c_0(c_2(c_2(c_3(c_0(c_0(z0)))))))))))))))))) -> 2(2(0(0(3(3(2(3(2(3(2(0(2(0(0(0(1(2(z0))))))))))))))))))
   2(c_2(c_3(c_3(c_1(c_2(c_3(c_2(c_1(c_2(c_1(c_3(c_2(c_2(c_1(c_1(c_2(c_1(z0)))))))))))))))))) -> 2(1(1(1(2(2(3(2(3(3(3(2(1(2(1(2(2(1(z0))))))))))))))))))
   2(c_3(c_0(c_0(c_3(c_0(c_0(c_3(c_0(c_2(c_2(c_2(c_2(c_3(c_2(c_0(c_3(c_0(z0)))))))))))))))))) -> 2(2(3(0(2(0(0(2(0(3(3(2(3(3(2(0(0(0(z0))))))))))))))))))
   2(c_0(c_1(c_1(c_2(c_1(c_1(c_2(c_2(c_1(c_1(c_2(c_1(c_2(c_2(c_0(c_0(c_2(z0)))))))))))))))))) -> 2(0(2(1(2(1(0(2(2(2(1(2(1(0(2(1(1(1(z0))))))))))))))))))
   2(c_2(c_1(c_1(c_3(c_0(c_0(c_3(c_2(c_3(c_1(c_2(c_1(c_0(c_0(c_2(c_1(c_2(z0)))))))))))))))))) -> 2(1(0(0(2(1(0(3(3(2(2(1(1(1(0(3(2(2(z0))))))))))))))))))
   2(c_2(c_3(c_3(c_3(c_3(c_3(c_1(c_2(c_0(c_1(c_1(c_1(c_2(c_3(c_1(c_2(c_1(z0)))))))))))))))))) -> 1(3(3(3(2(0(1(2(1(2(1(3(2(3(3(2(1(1(z0))))))))))))))))))
   2(c_3(c_2(c_3(c_0(c_0(c_0(c_3(c_3(c_2(c_2(c_2(c_2(c_3(c_2(c_2(c_0(c_2(z0)))))))))))))))))) -> 2(3(3(2(3(2(0(2(2(0(0(3(2(0(2(2(3(2(z0))))))))))))))))))
   2(c_2(c_0(c_1(c_2(c_3(c_3(c_0(c_3(c_2(c_2(c_2(c_0(c_3(c_3(c_1(c_1(c_3(z0)))))))))))))))))) -> 2(1(3(2(0(3(3(0(2(1(1(3(2(0(3(2(2(3(z0))))))))))))))))))
   2(c_0(c_0(c_2(c_2(c_0(c_3(c_0(c_1(c_0(c_2(c_3(c_3(c_1(c_2(c_1(c_2(c_2(z0)))))))))))))))))) -> 2(0(1(2(2(3(0(3(3(2(0(1(2(2(1(0(2(0(z0))))))))))))))))))
   2(c_3(c_1(c_1(c_3(c_1(c_0(c_2(c_3(c_0(c_0(c_0(c_2(c_3(c_3(c_2(c_3(c_1(z0)))))))))))))))))) -> 2(3(3(2(0(2(1(0(3(3(0(3(1(0(1(2(3(1(z0))))))))))))))))))
   2(c_2(c_3(c_1(c_1(c_2(c_2(c_0(c_1(c_0(c_1(c_0(c_1(c_0(c_1(c_3(c_1(c_0(z0)))))))))))))))))) -> 2(0(1(0(1(1(0(3(2(1(1(0(2(2(3(1(1(0(z0))))))))))))))))))
   2(c_2(c_3(c_1(c_2(c_2(c_2(c_1(c_2(c_0(c_1(c_3(c_2(c_2(c_3(c_3(c_0(c_0(z0)))))))))))))))))) -> 2(1(2(2(3(3(2(2(0(1(0(2(2(3(1(0(2(3(z0))))))))))))))))))
   2(c_0(c_0(c_3(c_0(c_3(c_1(c_1(c_2(c_2(c_2(c_2(c_3(c_2(c_0(c_0(c_3(c_0(z0)))))))))))))))))) -> 2(0(3(0(1(3(2(2(3(0(1(3(2(2(0(2(0(0(z0))))))))))))))))))
   2(c_0(c_0(c_0(c_0(c_3(c_1(c_2(c_2(c_0(c_3(c_0(c_2(c_0(c_3(c_1(c_3(c_2(z0)))))))))))))))))) -> 2(0(1(0(2(3(2(0(3(3(2(3(0(2(1(0(0(0(z0))))))))))))))))))
   2(c_3(c_0(c_0(c_0(c_2(c_0(c_0(c_1(c_3(c_3(c_1(c_2(c_2(c_2(c_2(c_2(c_2(z0)))))))))))))))))) -> 2(1(2(2(3(0(0(3(0(3(2(0(0(2(2(1(2(2(z0))))))))))))))))))
   2(c_0(c_0(c_3(c_1(c_2(c_1(c_3(c_0(c_2(c_2(c_2(c_1(c_2(c_2(c_2(c_3(c_1(z0)))))))))))))))))) -> 2(1(0(3(2(2(1(2(3(2(2(0(3(2(2(0(1(1(z0))))))))))))))))))
   2(c_1(c_2(c_0(c_2(c_1(c_3(c_0(c_1(c_2(c_1(c_0(c_2(c_1(c_3(c_1(c_2(c_0(z0)))))))))))))))))) -> 2(1(2(3(1(0(1(0(0(2(1(1(3(2(0(2(1(2(z0))))))))))))))))))
   2(c_3(c_0(c_3(c_1(c_1(c_2(c_3(c_1(c_3(c_2(c_0(c_1(c_2(c_2(c_1(c_3(c_0(z0)))))))))))))))))) -> 2(1(1(0(1(2(1(3(3(3(2(2(0(2(1(3(3(0(z0))))))))))))))))))
   3(z0) -> c_3(z0)
   3(c_2(c_1(c_1(c_1(c_3(c_1(c_1(c_2(c_2(c_1(c_2(c_1(c_1(c_2(c_3(c_0(c_1(z0)))))))))))))))))) -> 3(2(1(1(1(1(1(0(3(2(2(2(1(2(3(1(1(1(z0))))))))))))))))))
   3(c_1(c_2(c_1(c_0(c_3(c_1(c_1(c_2(c_2(c_3(c_0(c_2(c_2(c_3(c_0(c_2(c_0(z0)))))))))))))))))) -> 3(1(1(1(2(2(2(0(3(2(0(3(2(3(2(0(0(1(z0))))))))))))))))))
   3(c_3(c_1(c_1(c_3(c_1(c_0(c_1(c_3(c_1(c_2(c_3(c_3(c_3(c_1(c_1(c_3(c_0(z0)))))))))))))))))) -> 3(3(1(0(3(3(1(3(3(3(3(1(1(1(1(2(0(1(z0))))))))))))))))))
   3(c_1(c_3(c_0(c_3(c_0(c_3(c_2(c_2(c_3(c_0(c_2(c_3(c_1(c_2(c_1(c_0(c_2(z0)))))))))))))))))) -> 3(0(2(2(3(2(0(1(3(1(0(2(1(3(3(2(0(3(z0))))))))))))))))))
   3(c_0(c_2(c_0(c_3(c_3(c_0(c_0(c_2(c_2(c_0(c_1(c_0(c_3(c_3(c_1(c_3(c_1(z0)))))))))))))))))) -> 3(0(2(1(0(1(3(3(2(0(0(3(0(3(2(3(1(0(z0))))))))))))))))))
   3(c_3(c_0(c_2(c_1(c_2(c_2(c_0(c_0(c_1(c_3(c_2(c_0(c_0(c_1(c_2(c_3(c_0(z0)))))))))))))))))) -> 0(0(1(1(0(2(2(3(3(2(1(0(0(2(3(3(2(0(z0))))))))))))))))))
   3(c_3(c_0(c_2(c_0(c_2(c_0(c_3(c_3(c_3(c_1(c_0(c_2(c_2(c_2(c_3(c_3(c_0(z0)))))))))))))))))) -> 3(2(2(1(0(3(2(0(0(2(3(3(2(3(3(0(0(3(z0))))))))))))))))))
   3(c_0(c_1(c_0(c_3(c_1(c_2(c_2(c_0(c_1(c_1(c_1(c_3(c_3(c_0(c_2(c_3(c_0(z0)))))))))))))))))) -> 0(3(3(2(1(0(0(2(3(3(1(1(0(1(1(3(2(0(z0))))))))))))))))))
   3(c_1(c_2(c_0(c_1(c_2(c_0(c_3(c_1(c_2(c_1(c_0(c_0(c_2(c_0(c_3(c_0(c_2(z0)))))))))))))))))) -> 3(1(0(2(2(1(3(0(0(2(0(3(2(1(1(0(2(0(z0))))))))))))))))))
   3(c_1(c_3(c_1(c_1(c_3(c_0(c_2(c_0(c_0(c_3(c_0(c_2(c_3(c_1(c_2(c_2(c_2(z0)))))))))))))))))) -> 3(1(3(1(0(3(3(2(1(2(1(2(0(2(3(2(0(0(z0))))))))))))))))))
   3(c_0(c_1(c_2(c_2(c_3(c_0(c_1(c_2(c_1(c_3(c_1(c_3(c_3(c_3(c_1(c_1(c_3(z0)))))))))))))))))) -> 0(2(1(3(3(3(2(1(1(0(1(3(3(2(1(1(3(3(z0))))))))))))))))))
   3(c_0(c_2(c_0(c_3(c_1(c_1(c_3(c_2(c_1(c_3(c_0(c_2(c_0(c_2(c_1(c_1(c_3(z0)))))))))))))))))) -> 1(3(3(2(0(0(0(1(3(3(2(0(1(1(2(1(2(3(z0))))))))))))))))))
   3(c_3(c_0(c_3(c_0(c_0(c_2(c_3(c_0(c_2(c_3(c_3(c_1(c_2(c_2(c_2(c_2(c_0(z0)))))))))))))))))) -> 3(3(0(0(3(2(3(2(0(0(0(2(3(2(1(2(3(2(z0))))))))))))))))))
   3(c_3(c_3(c_3(c_3(c_0(c_3(c_1(c_1(c_3(c_2(c_1(c_1(c_3(c_2(c_2(c_0(c_2(z0)))))))))))))))))) -> 3(3(1(0(1(2(3(2(0(1(1(3(3(3(3(2(3(2(z0))))))))))))))))))
   3(c_2(c_2(c_3(c_0(c_0(c_3(c_0(c_0(c_2(c_3(c_0(c_1(c_1(c_1(c_1(c_3(c_0(z0)))))))))))))))))) -> 3(2(0(3(2(3(0(1(0(1(1(0(3(1(3(0(2(0(z0))))))))))))))))))
   3(c_1(c_3(c_1(c_1(c_3(c_3(c_3(c_2(c_1(c_2(c_3(c_0(c_2(c_1(c_2(c_3(c_0(z0)))))))))))))))))) -> 3(3(3(2(0(1(3(2(0(1(3(3(1(2(1(1(2(3(z0))))))))))))))))))
   3(c_0(c_2(c_2(c_0(c_0(c_1(c_2(c_3(c_0(c_0(c_1(c_1(c_2(c_0(c_1(c_2(c_2(z0)))))))))))))))))) -> 2(3(0(2(3(1(1(0(2(0(2(1(1(0(0(2(0(2(z0))))))))))))))))))
Tuples:
   ENCARG(cons_1(z0)) -> c1(1'(encArg(z0)), ENCARG(z0))
   ENCARG(cons_2(z0)) -> c2(2'(encArg(z0)), ENCARG(z0))
   ENCARG(cons_3(z0)) -> c3(3'(encArg(z0)), ENCARG(z0))
   0'(c_0(c_0(c_1(c_0(c_0(c_0(c_2(c_1(c_1(c_2(c_0(c_1(c_0(c_1(c_2(c_0(c_0(z0)))))))))))))))))) -> c9(0'(1(0(1(1(0(0(2(1(1(0(0(2(0(2(0(0(0(z0)))))))))))))))))), 1'(0(1(1(0(0(2(1(1(0(0(2(0(2(0(0(0(z0))))))))))))))))), 0'(1(1(0(0(2(1(1(0(0(2(0(2(0(0(0(z0)))))))))))))))), 1'(1(0(0(2(1(1(0(0(2(0(2(0(0(0(z0))))))))))))))), 1'(0(0(2(1(1(0(0(2(0(2(0(0(0(z0)))))))))))))), 0'(0(2(1(1(0(0(2(0(2(0(0(0(z0))))))))))))), 0'(2(1(1(0(0(2(0(2(0(0(0(z0)))))))))))), 2'(1(1(0(0(2(0(2(0(0(0(z0))))))))))), 1'(1(0(0(2(0(2(0(0(0(z0)))))))))), 1'(0(0(2(0(2(0(0(0(z0))))))))), 0'(0(2(0(2(0(0(0(z0)))))))), 0'(2(0(2(0(0(0(z0))))))), 2'(0(2(0(0(0(z0)))))), 0'(2(0(0(0(z0))))), 2'(0(0(0(z0)))), 0'(0(0(z0))), 0'(0(z0)), 0'(z0))
   0'(c_0(c_1(c_3(c_2(c_1(c_0(c_0(c_3(c_2(c_3(c_1(c_3(c_0(c_0(c_2(c_0(c_0(z0)))))))))))))))))) -> c10(0'(0(2(3(2(0(1(0(2(1(0(1(0(3(0(3(0(3(z0)))))))))))))))))), 0'(2(3(2(0(1(0(2(1(0(1(0(3(0(3(0(3(z0))))))))))))))))), 2'(3(2(0(1(0(2(1(0(1(0(3(0(3(0(3(z0)))))))))))))))), 3'(2(0(1(0(2(1(0(1(0(3(0(3(0(3(z0))))))))))))))), 2'(0(1(0(2(1(0(1(0(3(0(3(0(3(z0)))))))))))))), 0'(1(0(2(1(0(1(0(3(0(3(0(3(z0))))))))))))), 1'(0(2(1(0(1(0(3(0(3(0(3(z0)))))))))))), 0'(2(1(0(1(0(3(0(3(0(3(z0))))))))))), 2'(1(0(1(0(3(0(3(0(3(z0)))))))))), 1'(0(1(0(3(0(3(0(3(z0))))))))), 0'(1(0(3(0(3(0(3(z0)))))))), 1'(0(3(0(3(0(3(z0))))))), 0'(3(0(3(0(3(z0)))))), 3'(0(3(0(3(z0))))), 0'(3(0(3(z0)))), 3'(0(3(z0))), 0'(3(z0)), 3'(z0))
   0'(c_3(c_1(c_2(c_3(c_1(c_0(c_3(c_3(c_3(c_1(c_3(c_0(c_3(c_2(c_2(c_1(c_2(z0)))))))))))))))))) -> c11(1'(0(3(1(0(3(3(3(3(2(3(2(3(2(0(2(1(1(z0)))))))))))))))))), 0'(3(1(0(3(3(3(3(2(3(2(3(2(0(2(1(1(z0))))))))))))))))), 3'(1(0(3(3(3(3(2(3(2(3(2(0(2(1(1(z0)))))))))))))))), 1'(0(3(3(3(3(2(3(2(3(2(0(2(1(1(z0))))))))))))))), 0'(3(3(3(3(2(3(2(3(2(0(2(1(1(z0)))))))))))))), 3'(3(3(3(2(3(2(3(2(0(2(1(1(z0))))))))))))), 3'(3(3(2(3(2(3(2(0(2(1(1(z0)))))))))))), 3'(3(2(3(2(3(2(0(2(1(1(z0))))))))))), 3'(2(3(2(3(2(0(2(1(1(z0)))))))))), 2'(3(2(3(2(0(2(1(1(z0))))))))), 3'(2(3(2(0(2(1(1(z0)))))))), 2'(3(2(0(2(1(1(z0))))))), 3'(2(0(2(1(1(z0)))))), 2'(0(2(1(1(z0))))), 0'(2(1(1(z0)))), 2'(1(1(z0))), 1'(1(z0)), 1'(z0))
   0'(c_0(c_3(c_0(c_3(c_1(c_2(c_0(c_3(c_0(c_3(c_1(c_0(c_0(c_1(c_0(c_1(c_3(z0)))))))))))))))))) -> c12(0'(3(0(0(3(3(0(1(0(3(0(1(0(0(2(1(1(3(z0)))))))))))))))))), 3'(0(0(3(3(0(1(0(3(0(1(0(0(2(1(1(3(z0))))))))))))))))), 0'(0(3(3(0(1(0(3(0(1(0(0(2(1(1(3(z0)))))))))))))))), 0'(3(3(0(1(0(3(0(1(0(0(2(1(1(3(z0))))))))))))))), 3'(3(0(1(0(3(0(1(0(0(2(1(1(3(z0)))))))))))))), 3'(0(1(0(3(0(1(0(0(2(1(1(3(z0))))))))))))), 0'(1(0(3(0(1(0(0(2(1(1(3(z0)))))))))))), 1'(0(3(0(1(0(0(2(1(1(3(z0))))))))))), 0'(3(0(1(0(0(2(1(1(3(z0)))))))))), 3'(0(1(0(0(2(1(1(3(z0))))))))), 0'(1(0(0(2(1(1(3(z0)))))))), 1'(0(0(2(1(1(3(z0))))))), 0'(0(2(1(1(3(z0)))))), 0'(2(1(1(3(z0))))), 2'(1(1(3(z0)))), 1'(1(3(z0))), 1'(3(z0)), 3'(z0))
   0'(c_2(c_3(c_3(c_1(c_0(c_3(c_0(c_0(c_0(c_2(c_0(c_1(c_3(c_1(c_3(c_3(c_0(z0)))))))))))))))))) -> c13(0'(3(0(3(3(2(3(2(3(0(0(0(0(1(1(1(3(0(z0)))))))))))))))))), 3'(0(3(3(2(3(2(3(0(0(0(0(1(1(1(3(0(z0))))))))))))))))), 0'(3(3(2(3(2(3(0(0(0(0(1(1(1(3(0(z0)))))))))))))))), 3'(3(2(3(2(3(0(0(0(0(1(1(1(3(0(z0))))))))))))))), 3'(2(3(2(3(0(0(0(0(1(1(1(3(0(z0)))))))))))))), 2'(3(2(3(0(0(0(0(1(1(1(3(0(z0))))))))))))), 3'(2(3(0(0(0(0(1(1(1(3(0(z0)))))))))))), 2'(3(0(0(0(0(1(1(1(3(0(z0))))))))))), 3'(0(0(0(0(1(1(1(3(0(z0)))))))))), 0'(0(0(0(1(1(1(3(0(z0))))))))), 0'(0(0(1(1(1(3(0(z0)))))))), 0'(0(1(1(1(3(0(z0))))))), 0'(1(1(1(3(0(z0)))))), 1'(1(1(3(0(z0))))), 1'(1(3(0(z0)))), 1'(3(0(z0))), 3'(0(z0)), 0'(z0))
   0'(c_0(c_1(c_3(c_1(c_0(c_3(c_1(c_1(c_3(c_1(c_2(c_3(c_1(c_2(c_2(c_1(c_1(z0)))))))))))))))))) -> c14(0'(3(0(2(1(0(3(2(1(1(2(1(3(1(3(1(1(1(z0)))))))))))))))))), 3'(0(2(1(0(3(2(1(1(2(1(3(1(3(1(1(1(z0))))))))))))))))), 0'(2(1(0(3(2(1(1(2(1(3(1(3(1(1(1(z0)))))))))))))))), 2'(1(0(3(2(1(1(2(1(3(1(3(1(1(1(z0))))))))))))))), 1'(0(3(2(1(1(2(1(3(1(3(1(1(1(z0)))))))))))))), 0'(3(2(1(1(2(1(3(1(3(1(1(1(z0))))))))))))), 3'(2(1(1(2(1(3(1(3(1(1(1(z0)))))))))))), 2'(1(1(2(1(3(1(3(1(1(1(z0))))))))))), 1'(1(2(1(3(1(3(1(1(1(z0)))))))))), 1'(2(1(3(1(3(1(1(1(z0))))))))), 2'(1(3(1(3(1(1(1(z0)))))))), 1'(3(1(3(1(1(1(z0))))))), 3'(1(3(1(1(1(z0)))))), 1'(3(1(1(1(z0))))), 3'(1(1(1(z0)))), 1'(1(1(z0))), 1'(1(z0)), 1'(z0))
   0'(c_0(c_3(c_2(c_1(c_3(c_1(c_3(c_3(c_0(c_1(c_2(c_0(c_0(c_0(c_2(c_0(c_2(z0)))))))))))))))))) -> c15(0'(3(0(0(2(1(3(1(2(3(2(1(0(0(0(3(2(0(z0)))))))))))))))))), 3'(0(0(2(1(3(1(2(3(2(1(0(0(0(3(2(0(z0))))))))))))))))), 0'(0(2(1(3(1(2(3(2(1(0(0(0(3(2(0(z0)))))))))))))))), 0'(2(1(3(1(2(3(2(1(0(0(0(3(2(0(z0))))))))))))))), 2'(1(3(1(2(3(2(1(0(0(0(3(2(0(z0)))))))))))))), 1'(3(1(2(3(2(1(0(0(0(3(2(0(z0))))))))))))), 3'(1(2(3(2(1(0(0(0(3(2(0(z0)))))))))))), 1'(2(3(2(1(0(0(0(3(2(0(z0))))))))))), 2'(3(2(1(0(0(0(3(2(0(z0)))))))))), 3'(2(1(0(0(0(3(2(0(z0))))))))), 2'(1(0(0(0(3(2(0(z0)))))))), 1'(0(0(0(3(2(0(z0))))))), 0'(0(0(3(2(0(z0)))))), 0'(0(3(2(0(z0))))), 0'(3(2(0(z0)))), 3'(2(0(z0))), 2'(0(z0)), 0'(z0))
   0'(c_3(c_3(c_3(c_1(c_2(c_0(c_0(c_3(c_2(c_0(c_1(c_2(c_1(c_3(c_0(c_2(c_0(z0)))))))))))))))))) -> c16(0'(2(1(0(1(0(1(0(0(3(3(2(3(0(2(3(2(3(z0)))))))))))))))))), 2'(1(0(1(0(1(0(0(3(3(2(3(0(2(3(2(3(z0))))))))))))))))), 1'(0(1(0(1(0(0(3(3(2(3(0(2(3(2(3(z0)))))))))))))))), 0'(1(0(1(0(0(3(3(2(3(0(2(3(2(3(z0))))))))))))))), 1'(0(1(0(0(3(3(2(3(0(2(3(2(3(z0)))))))))))))), 0'(1(0(0(3(3(2(3(0(2(3(2(3(z0))))))))))))), 1'(0(0(3(3(2(3(0(2(3(2(3(z0)))))))))))), 0'(0(3(3(2(3(0(2(3(2(3(z0))))))))))), 0'(3(3(2(3(0(2(3(2(3(z0)))))))))), 3'(3(2(3(0(2(3(2(3(z0))))))))), 3'(2(3(0(2(3(2(3(z0)))))))), 2'(3(0(2(3(2(3(z0))))))), 3'(0(2(3(2(3(z0)))))), 0'(2(3(2(3(z0))))), 2'(3(2(3(z0)))), 3'(2(3(z0))), 2'(3(z0)), 3'(z0))
   0'(c_0(c_1(c_2(c_0(c_0(c_3(c_3(c_2(c_1(c_3(c_3(c_3(c_1(c_1(c_1(c_1(c_2(z0)))))))))))))))))) -> c17(0'(0(3(3(1(0(2(3(2(1(1(3(1(1(1(3(2(0(z0)))))))))))))))))), 0'(3(3(1(0(2(3(2(1(1(3(1(1(1(3(2(0(z0))))))))))))))))), 3'(3(1(0(2(3(2(1(1(3(1(1(1(3(2(0(z0)))))))))))))))), 3'(1(0(2(3(2(1(1(3(1(1(1(3(2(0(z0))))))))))))))), 1'(0(2(3(2(1(1(3(1(1(1(3(2(0(z0)))))))))))))), 0'(2(3(2(1(1(3(1(1(1(3(2(0(z0))))))))))))), 2'(3(2(1(1(3(1(1(1(3(2(0(z0)))))))))))), 3'(2(1(1(3(1(1(1(3(2(0(z0))))))))))), 2'(1(1(3(1(1(1(3(2(0(z0)))))))))), 1'(1(3(1(1(1(3(2(0(z0))))))))), 1'(3(1(1(1(3(2(0(z0)))))))), 3'(1(1(1(3(2(0(z0))))))), 1'(1(1(3(2(0(z0)))))), 1'(1(3(2(0(z0))))), 1'(3(2(0(z0)))), 3'(2(0(z0))), 2'(0(z0)), 0'(z0))
   0'(c_0(c_1(c_1(c_1(c_3(c_2(c_2(c_2(c_1(c_3(c_2(c_3(c_0(c_0(c_0(c_0(c_0(z0)))))))))))))))))) -> c18(1'(0(0(3(2(0(1(3(2(0(0(2(3(1(0(2(1(0(z0)))))))))))))))))), 0'(0(3(2(0(1(3(2(0(0(2(3(1(0(2(1(0(z0))))))))))))))))), 0'(3(2(0(1(3(2(0(0(2(3(1(0(2(1(0(z0)))))))))))))))), 3'(2(0(1(3(2(0(0(2(3(1(0(2(1(0(z0))))))))))))))), 2'(0(1(3(2(0(0(2(3(1(0(2(1(0(z0)))))))))))))), 0'(1(3(2(0(0(2(3(1(0(2(1(0(z0))))))))))))), 1'(3(2(0(0(2(3(1(0(2(1(0(z0)))))))))))), 3'(2(0(0(2(3(1(0(2(1(0(z0))))))))))), 2'(0(0(2(3(1(0(2(1(0(z0)))))))))), 0'(0(2(3(1(0(2(1(0(z0))))))))), 0'(2(3(1(0(2(1(0(z0)))))))), 2'(3(1(0(2(1(0(z0))))))), 3'(1(0(2(1(0(z0)))))), 1'(0(2(1(0(z0))))), 0'(2(1(0(z0)))), 2'(1(0(z0))), 1'(0(z0)), 0'(z0))
   0'(c_3(c_0(c_3(c_2(c_2(c_0(c_3(c_3(c_1(c_0(c_0(c_3(c_0(c_3(c_0(c_1(c_0(z0)))))))))))))))))) -> c19(0'(3(0(0(3(3(3(2(1(3(2(0(0(1(3(0(0(0(z0)))))))))))))))))), 3'(0(0(3(3(3(2(1(3(2(0(0(1(3(0(0(0(z0))))))))))))))))), 0'(0(3(3(3(2(1(3(2(0(0(1(3(0(0(0(z0)))))))))))))))), 0'(3(3(3(2(1(3(2(0(0(1(3(0(0(0(z0))))))))))))))), 3'(3(3(2(1(3(2(0(0(1(3(0(0(0(z0)))))))))))))), 3'(3(2(1(3(2(0(0(1(3(0(0(0(z0))))))))))))), 3'(2(1(3(2(0(0(1(3(0(0(0(z0)))))))))))), 2'(1(3(2(0(0(1(3(0(0(0(z0))))))))))), 1'(3(2(0(0(1(3(0(0(0(z0)))))))))), 3'(2(0(0(1(3(0(0(0(z0))))))))), 2'(0(0(1(3(0(0(0(z0)))))))), 0'(0(1(3(0(0(0(z0))))))), 0'(1(3(0(0(0(z0)))))), 1'(3(0(0(0(z0))))), 3'(0(0(0(z0)))), 0'(0(0(z0))), 0'(0(z0)), 0'(z0))
   0'(c_0(c_0(c_3(c_0(c_3(c_0(c_1(c_2(c_1(c_0(c_0(c_0(c_1(c_2(c_3(c_3(c_3(z0)))))))))))))))))) -> c20(0'(0(0(2(3(0(0(0(0(1(1(3(1(0(2(3(3(3(z0)))))))))))))))))), 0'(0(2(3(0(0(0(0(1(1(3(1(0(2(3(3(3(z0))))))))))))))))), 0'(2(3(0(0(0(0(1(1(3(1(0(2(3(3(3(z0)))))))))))))))), 2'(3(0(0(0(0(1(1(3(1(0(2(3(3(3(z0))))))))))))))), 3'(0(0(0(0(1(1(3(1(0(2(3(3(3(z0)))))))))))))), 0'(0(0(0(1(1(3(1(0(2(3(3(3(z0))))))))))))), 0'(0(0(1(1(3(1(0(2(3(3(3(z0)))))))))))), 0'(0(1(1(3(1(0(2(3(3(3(z0))))))))))), 0'(1(1(3(1(0(2(3(3(3(z0)))))))))), 1'(1(3(1(0(2(3(3(3(z0))))))))), 1'(3(1(0(2(3(3(3(z0)))))))), 3'(1(0(2(3(3(3(z0))))))), 1'(0(2(3(3(3(z0)))))), 0'(2(3(3(3(z0))))), 2'(3(3(3(z0)))), 3'(3(3(z0))), 3'(3(z0)), 3'(z0))
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   3'(c_0(c_2(c_2(c_0(c_0(c_1(c_2(c_3(c_0(c_0(c_1(c_1(c_2(c_0(c_1(c_2(c_2(z0)))))))))))))))))) -> c91(2'(3(0(2(3(1(1(0(2(0(2(1(1(0(0(2(0(2(z0)))))))))))))))))), 3'(0(2(3(1(1(0(2(0(2(1(1(0(0(2(0(2(z0))))))))))))))))), 0'(2(3(1(1(0(2(0(2(1(1(0(0(2(0(2(z0)))))))))))))))), 2'(3(1(1(0(2(0(2(1(1(0(0(2(0(2(z0))))))))))))))), 3'(1(1(0(2(0(2(1(1(0(0(2(0(2(z0)))))))))))))), 1'(1(0(2(0(2(1(1(0(0(2(0(2(z0))))))))))))), 1'(0(2(0(2(1(1(0(0(2(0(2(z0)))))))))))), 0'(2(0(2(1(1(0(0(2(0(2(z0))))))))))), 2'(0(2(1(1(0(0(2(0(2(z0)))))))))), 0'(2(1(1(0(0(2(0(2(z0))))))))), 2'(1(1(0(0(2(0(2(z0)))))))), 1'(1(0(0(2(0(2(z0))))))), 1'(0(0(2(0(2(z0)))))), 0'(0(2(0(2(z0))))), 0'(2(0(2(z0)))), 2'(0(2(z0))), 0'(2(z0)), 2'(z0))
   ENCODE_0(z0) -> c8(0'(encArg(z0)))
   ENCODE_3(z0) -> c8(3'(encArg(z0)))
   ENCODE_1(z0) -> c8(1'(encArg(z0)))
   ENCODE_2(z0) -> c8(2'(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_0(c_1(c_3(c_2(c_1(c_0(c_0(c_3(c_2(c_3(c_1(c_3(c_0(c_0(c_2(c_0(c_0(z0)))))))))))))))))) -> c10(0'(0(2(3(2(0(1(0(2(1(0(1(0(3(0(3(0(3(z0)))))))))))))))))), 0'(2(3(2(0(1(0(2(1(0(1(0(3(0(3(0(3(z0))))))))))))))))), 2'(3(2(0(1(0(2(1(0(1(0(3(0(3(0(3(z0)))))))))))))))), 3'(2(0(1(0(2(1(0(1(0(3(0(3(0(3(z0))))))))))))))), 2'(0(1(0(2(1(0(1(0(3(0(3(0(3(z0)))))))))))))), 0'(1(0(2(1(0(1(0(3(0(3(0(3(z0))))))))))))), 1'(0(2(1(0(1(0(3(0(3(0(3(z0)))))))))))), 0'(2(1(0(1(0(3(0(3(0(3(z0))))))))))), 2'(1(0(1(0(3(0(3(0(3(z0)))))))))), 1'(0(1(0(3(0(3(0(3(z0))))))))), 0'(1(0(3(0(3(0(3(z0)))))))), 1'(0(3(0(3(0(3(z0))))))), 0'(3(0(3(0(3(z0)))))), 3'(0(3(0(3(z0))))), 0'(3(0(3(z0)))), 3'(0(3(z0))), 0'(3(z0)), 3'(z0))
   0'(c_3(c_1(c_2(c_3(c_1(c_0(c_3(c_3(c_3(c_1(c_3(c_0(c_3(c_2(c_2(c_1(c_2(z0)))))))))))))))))) -> c11(1'(0(3(1(0(3(3(3(3(2(3(2(3(2(0(2(1(1(z0)))))))))))))))))), 0'(3(1(0(3(3(3(3(2(3(2(3(2(0(2(1(1(z0))))))))))))))))), 3'(1(0(3(3(3(3(2(3(2(3(2(0(2(1(1(z0)))))))))))))))), 1'(0(3(3(3(3(2(3(2(3(2(0(2(1(1(z0))))))))))))))), 0'(3(3(3(3(2(3(2(3(2(0(2(1(1(z0)))))))))))))), 3'(3(3(3(2(3(2(3(2(0(2(1(1(z0))))))))))))), 3'(3(3(2(3(2(3(2(0(2(1(1(z0)))))))))))), 3'(3(2(3(2(3(2(0(2(1(1(z0))))))))))), 3'(2(3(2(3(2(0(2(1(1(z0)))))))))), 2'(3(2(3(2(0(2(1(1(z0))))))))), 3'(2(3(2(0(2(1(1(z0)))))))), 2'(3(2(0(2(1(1(z0))))))), 3'(2(0(2(1(1(z0)))))), 2'(0(2(1(1(z0))))), 0'(2(1(1(z0)))), 2'(1(1(z0))), 1'(1(z0)), 1'(z0))
   0'(c_0(c_3(c_0(c_3(c_1(c_2(c_0(c_3(c_0(c_3(c_1(c_0(c_0(c_1(c_0(c_1(c_3(z0)))))))))))))))))) -> c12(0'(3(0(0(3(3(0(1(0(3(0(1(0(0(2(1(1(3(z0)))))))))))))))))), 3'(0(0(3(3(0(1(0(3(0(1(0(0(2(1(1(3(z0))))))))))))))))), 0'(0(3(3(0(1(0(3(0(1(0(0(2(1(1(3(z0)))))))))))))))), 0'(3(3(0(1(0(3(0(1(0(0(2(1(1(3(z0))))))))))))))), 3'(3(0(1(0(3(0(1(0(0(2(1(1(3(z0)))))))))))))), 3'(0(1(0(3(0(1(0(0(2(1(1(3(z0))))))))))))), 0'(1(0(3(0(1(0(0(2(1(1(3(z0)))))))))))), 1'(0(3(0(1(0(0(2(1(1(3(z0))))))))))), 0'(3(0(1(0(0(2(1(1(3(z0)))))))))), 3'(0(1(0(0(2(1(1(3(z0))))))))), 0'(1(0(0(2(1(1(3(z0)))))))), 1'(0(0(2(1(1(3(z0))))))), 0'(0(2(1(1(3(z0)))))), 0'(2(1(1(3(z0))))), 2'(1(1(3(z0)))), 1'(1(3(z0))), 1'(3(z0)), 3'(z0))
   0'(c_2(c_3(c_3(c_1(c_0(c_3(c_0(c_0(c_0(c_2(c_0(c_1(c_3(c_1(c_3(c_3(c_0(z0)))))))))))))))))) -> c13(0'(3(0(3(3(2(3(2(3(0(0(0(0(1(1(1(3(0(z0)))))))))))))))))), 3'(0(3(3(2(3(2(3(0(0(0(0(1(1(1(3(0(z0))))))))))))))))), 0'(3(3(2(3(2(3(0(0(0(0(1(1(1(3(0(z0)))))))))))))))), 3'(3(2(3(2(3(0(0(0(0(1(1(1(3(0(z0))))))))))))))), 3'(2(3(2(3(0(0(0(0(1(1(1(3(0(z0)))))))))))))), 2'(3(2(3(0(0(0(0(1(1(1(3(0(z0))))))))))))), 3'(2(3(0(0(0(0(1(1(1(3(0(z0)))))))))))), 2'(3(0(0(0(0(1(1(1(3(0(z0))))))))))), 3'(0(0(0(0(1(1(1(3(0(z0)))))))))), 0'(0(0(0(1(1(1(3(0(z0))))))))), 0'(0(0(1(1(1(3(0(z0)))))))), 0'(0(1(1(1(3(0(z0))))))), 0'(1(1(1(3(0(z0)))))), 1'(1(1(3(0(z0))))), 1'(1(3(0(z0)))), 1'(3(0(z0))), 3'(0(z0)), 0'(z0))
   0'(c_0(c_1(c_3(c_1(c_0(c_3(c_1(c_1(c_3(c_1(c_2(c_3(c_1(c_2(c_2(c_1(c_1(z0)))))))))))))))))) -> c14(0'(3(0(2(1(0(3(2(1(1(2(1(3(1(3(1(1(1(z0)))))))))))))))))), 3'(0(2(1(0(3(2(1(1(2(1(3(1(3(1(1(1(z0))))))))))))))))), 0'(2(1(0(3(2(1(1(2(1(3(1(3(1(1(1(z0)))))))))))))))), 2'(1(0(3(2(1(1(2(1(3(1(3(1(1(1(z0))))))))))))))), 1'(0(3(2(1(1(2(1(3(1(3(1(1(1(z0)))))))))))))), 0'(3(2(1(1(2(1(3(1(3(1(1(1(z0))))))))))))), 3'(2(1(1(2(1(3(1(3(1(1(1(z0)))))))))))), 2'(1(1(2(1(3(1(3(1(1(1(z0))))))))))), 1'(1(2(1(3(1(3(1(1(1(z0)))))))))), 1'(2(1(3(1(3(1(1(1(z0))))))))), 2'(1(3(1(3(1(1(1(z0)))))))), 1'(3(1(3(1(1(1(z0))))))), 3'(1(3(1(1(1(z0)))))), 1'(3(1(1(1(z0))))), 3'(1(1(1(z0)))), 1'(1(1(z0))), 1'(1(z0)), 1'(z0))
   0'(c_0(c_3(c_2(c_1(c_3(c_1(c_3(c_3(c_0(c_1(c_2(c_0(c_0(c_0(c_2(c_0(c_2(z0)))))))))))))))))) -> c15(0'(3(0(0(2(1(3(1(2(3(2(1(0(0(0(3(2(0(z0)))))))))))))))))), 3'(0(0(2(1(3(1(2(3(2(1(0(0(0(3(2(0(z0))))))))))))))))), 0'(0(2(1(3(1(2(3(2(1(0(0(0(3(2(0(z0)))))))))))))))), 0'(2(1(3(1(2(3(2(1(0(0(0(3(2(0(z0))))))))))))))), 2'(1(3(1(2(3(2(1(0(0(0(3(2(0(z0)))))))))))))), 1'(3(1(2(3(2(1(0(0(0(3(2(0(z0))))))))))))), 3'(1(2(3(2(1(0(0(0(3(2(0(z0)))))))))))), 1'(2(3(2(1(0(0(0(3(2(0(z0))))))))))), 2'(3(2(1(0(0(0(3(2(0(z0)))))))))), 3'(2(1(0(0(0(3(2(0(z0))))))))), 2'(1(0(0(0(3(2(0(z0)))))))), 1'(0(0(0(3(2(0(z0))))))), 0'(0(0(3(2(0(z0)))))), 0'(0(3(2(0(z0))))), 0'(3(2(0(z0)))), 3'(2(0(z0))), 2'(0(z0)), 0'(z0))
   0'(c_3(c_3(c_3(c_1(c_2(c_0(c_0(c_3(c_2(c_0(c_1(c_2(c_1(c_3(c_0(c_2(c_0(z0)))))))))))))))))) -> c16(0'(2(1(0(1(0(1(0(0(3(3(2(3(0(2(3(2(3(z0)))))))))))))))))), 2'(1(0(1(0(1(0(0(3(3(2(3(0(2(3(2(3(z0))))))))))))))))), 1'(0(1(0(1(0(0(3(3(2(3(0(2(3(2(3(z0)))))))))))))))), 0'(1(0(1(0(0(3(3(2(3(0(2(3(2(3(z0))))))))))))))), 1'(0(1(0(0(3(3(2(3(0(2(3(2(3(z0)))))))))))))), 0'(1(0(0(3(3(2(3(0(2(3(2(3(z0))))))))))))), 1'(0(0(3(3(2(3(0(2(3(2(3(z0)))))))))))), 0'(0(3(3(2(3(0(2(3(2(3(z0))))))))))), 0'(3(3(2(3(0(2(3(2(3(z0)))))))))), 3'(3(2(3(0(2(3(2(3(z0))))))))), 3'(2(3(0(2(3(2(3(z0)))))))), 2'(3(0(2(3(2(3(z0))))))), 3'(0(2(3(2(3(z0)))))), 0'(2(3(2(3(z0))))), 2'(3(2(3(z0)))), 3'(2(3(z0))), 2'(3(z0)), 3'(z0))
   0'(c_0(c_1(c_2(c_0(c_0(c_3(c_3(c_2(c_1(c_3(c_3(c_3(c_1(c_1(c_1(c_1(c_2(z0)))))))))))))))))) -> c17(0'(0(3(3(1(0(2(3(2(1(1(3(1(1(1(3(2(0(z0)))))))))))))))))), 0'(3(3(1(0(2(3(2(1(1(3(1(1(1(3(2(0(z0))))))))))))))))), 3'(3(1(0(2(3(2(1(1(3(1(1(1(3(2(0(z0)))))))))))))))), 3'(1(0(2(3(2(1(1(3(1(1(1(3(2(0(z0))))))))))))))), 1'(0(2(3(2(1(1(3(1(1(1(3(2(0(z0)))))))))))))), 0'(2(3(2(1(1(3(1(1(1(3(2(0(z0))))))))))))), 2'(3(2(1(1(3(1(1(1(3(2(0(z0)))))))))))), 3'(2(1(1(3(1(1(1(3(2(0(z0))))))))))), 2'(1(1(3(1(1(1(3(2(0(z0)))))))))), 1'(1(3(1(1(1(3(2(0(z0))))))))), 1'(3(1(1(1(3(2(0(z0)))))))), 3'(1(1(1(3(2(0(z0))))))), 1'(1(1(3(2(0(z0)))))), 1'(1(3(2(0(z0))))), 1'(3(2(0(z0)))), 3'(2(0(z0))), 2'(0(z0)), 0'(z0))
   0'(c_0(c_1(c_1(c_1(c_3(c_2(c_2(c_2(c_1(c_3(c_2(c_3(c_0(c_0(c_0(c_0(c_0(z0)))))))))))))))))) -> c18(1'(0(0(3(2(0(1(3(2(0(0(2(3(1(0(2(1(0(z0)))))))))))))))))), 0'(0(3(2(0(1(3(2(0(0(2(3(1(0(2(1(0(z0))))))))))))))))), 0'(3(2(0(1(3(2(0(0(2(3(1(0(2(1(0(z0)))))))))))))))), 3'(2(0(1(3(2(0(0(2(3(1(0(2(1(0(z0))))))))))))))), 2'(0(1(3(2(0(0(2(3(1(0(2(1(0(z0)))))))))))))), 0'(1(3(2(0(0(2(3(1(0(2(1(0(z0))))))))))))), 1'(3(2(0(0(2(3(1(0(2(1(0(z0)))))))))))), 3'(2(0(0(2(3(1(0(2(1(0(z0))))))))))), 2'(0(0(2(3(1(0(2(1(0(z0)))))))))), 0'(0(2(3(1(0(2(1(0(z0))))))))), 0'(2(3(1(0(2(1(0(z0)))))))), 2'(3(1(0(2(1(0(z0))))))), 3'(1(0(2(1(0(z0)))))), 1'(0(2(1(0(z0))))), 0'(2(1(0(z0)))), 2'(1(0(z0))), 1'(0(z0)), 0'(z0))
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   3'(c_3(c_0(c_3(c_0(c_0(c_2(c_3(c_0(c_2(c_3(c_3(c_1(c_2(c_2(c_2(c_2(c_0(z0)))))))))))))))))) -> c87(3'(3(0(0(3(2(3(2(0(0(0(2(3(2(1(2(3(2(z0)))))))))))))))))), 3'(0(0(3(2(3(2(0(0(0(2(3(2(1(2(3(2(z0))))))))))))))))), 0'(0(3(2(3(2(0(0(0(2(3(2(1(2(3(2(z0)))))))))))))))), 0'(3(2(3(2(0(0(0(2(3(2(1(2(3(2(z0))))))))))))))), 3'(2(3(2(0(0(0(2(3(2(1(2(3(2(z0)))))))))))))), 2'(3(2(0(0(0(2(3(2(1(2(3(2(z0))))))))))))), 3'(2(0(0(0(2(3(2(1(2(3(2(z0)))))))))))), 2'(0(0(0(2(3(2(1(2(3(2(z0))))))))))), 0'(0(0(2(3(2(1(2(3(2(z0)))))))))), 0'(0(2(3(2(1(2(3(2(z0))))))))), 0'(2(3(2(1(2(3(2(z0)))))))), 2'(3(2(1(2(3(2(z0))))))), 3'(2(1(2(3(2(z0)))))), 2'(1(2(3(2(z0))))), 1'(2(3(2(z0)))), 2'(3(2(z0))), 3'(2(z0)), 2'(z0))
   3'(c_3(c_3(c_3(c_3(c_0(c_3(c_1(c_1(c_3(c_2(c_1(c_1(c_3(c_2(c_2(c_0(c_2(z0)))))))))))))))))) -> c88(3'(3(1(0(1(2(3(2(0(1(1(3(3(3(3(2(3(2(z0)))))))))))))))))), 3'(1(0(1(2(3(2(0(1(1(3(3(3(3(2(3(2(z0))))))))))))))))), 1'(0(1(2(3(2(0(1(1(3(3(3(3(2(3(2(z0)))))))))))))))), 0'(1(2(3(2(0(1(1(3(3(3(3(2(3(2(z0))))))))))))))), 1'(2(3(2(0(1(1(3(3(3(3(2(3(2(z0)))))))))))))), 2'(3(2(0(1(1(3(3(3(3(2(3(2(z0))))))))))))), 3'(2(0(1(1(3(3(3(3(2(3(2(z0)))))))))))), 2'(0(1(1(3(3(3(3(2(3(2(z0))))))))))), 0'(1(1(3(3(3(3(2(3(2(z0)))))))))), 1'(1(3(3(3(3(2(3(2(z0))))))))), 1'(3(3(3(3(2(3(2(z0)))))))), 3'(3(3(3(2(3(2(z0))))))), 3'(3(3(2(3(2(z0)))))), 3'(3(2(3(2(z0))))), 3'(2(3(2(z0)))), 2'(3(2(z0))), 3'(2(z0)), 2'(z0))
   3'(c_2(c_2(c_3(c_0(c_0(c_3(c_0(c_0(c_2(c_3(c_0(c_1(c_1(c_1(c_1(c_3(c_0(z0)))))))))))))))))) -> c89(3'(2(0(3(2(3(0(1(0(1(1(0(3(1(3(0(2(0(z0)))))))))))))))))), 2'(0(3(2(3(0(1(0(1(1(0(3(1(3(0(2(0(z0))))))))))))))))), 0'(3(2(3(0(1(0(1(1(0(3(1(3(0(2(0(z0)))))))))))))))), 3'(2(3(0(1(0(1(1(0(3(1(3(0(2(0(z0))))))))))))))), 2'(3(0(1(0(1(1(0(3(1(3(0(2(0(z0)))))))))))))), 3'(0(1(0(1(1(0(3(1(3(0(2(0(z0))))))))))))), 0'(1(0(1(1(0(3(1(3(0(2(0(z0)))))))))))), 1'(0(1(1(0(3(1(3(0(2(0(z0))))))))))), 0'(1(1(0(3(1(3(0(2(0(z0)))))))))), 1'(1(0(3(1(3(0(2(0(z0))))))))), 1'(0(3(1(3(0(2(0(z0)))))))), 0'(3(1(3(0(2(0(z0))))))), 3'(1(3(0(2(0(z0)))))), 1'(3(0(2(0(z0))))), 3'(0(2(0(z0)))), 0'(2(0(z0))), 2'(0(z0)), 0'(z0))
   3'(c_1(c_3(c_1(c_1(c_3(c_3(c_3(c_2(c_1(c_2(c_3(c_0(c_2(c_1(c_2(c_3(c_0(z0)))))))))))))))))) -> c90(3'(3(3(2(0(1(3(2(0(1(3(3(1(2(1(1(2(3(z0)))))))))))))))))), 3'(3(2(0(1(3(2(0(1(3(3(1(2(1(1(2(3(z0))))))))))))))))), 3'(2(0(1(3(2(0(1(3(3(1(2(1(1(2(3(z0)))))))))))))))), 2'(0(1(3(2(0(1(3(3(1(2(1(1(2(3(z0))))))))))))))), 0'(1(3(2(0(1(3(3(1(2(1(1(2(3(z0)))))))))))))), 1'(3(2(0(1(3(3(1(2(1(1(2(3(z0))))))))))))), 3'(2(0(1(3(3(1(2(1(1(2(3(z0)))))))))))), 2'(0(1(3(3(1(2(1(1(2(3(z0))))))))))), 0'(1(3(3(1(2(1(1(2(3(z0)))))))))), 1'(3(3(1(2(1(1(2(3(z0))))))))), 3'(3(1(2(1(1(2(3(z0)))))))), 3'(1(2(1(1(2(3(z0))))))), 1'(2(1(1(2(3(z0)))))), 2'(1(1(2(3(z0))))), 1'(1(2(3(z0)))), 1'(2(3(z0))), 2'(3(z0)), 3'(z0))
   3'(c_0(c_2(c_2(c_0(c_0(c_1(c_2(c_3(c_0(c_0(c_1(c_1(c_2(c_0(c_1(c_2(c_2(z0)))))))))))))))))) -> c91(2'(3(0(2(3(1(1(0(2(0(2(1(1(0(0(2(0(2(z0)))))))))))))))))), 3'(0(2(3(1(1(0(2(0(2(1(1(0(0(2(0(2(z0))))))))))))))))), 0'(2(3(1(1(0(2(0(2(1(1(0(0(2(0(2(z0)))))))))))))))), 2'(3(1(1(0(2(0(2(1(1(0(0(2(0(2(z0))))))))))))))), 3'(1(1(0(2(0(2(1(1(0(0(2(0(2(z0)))))))))))))), 1'(1(0(2(0(2(1(1(0(0(2(0(2(z0))))))))))))), 1'(0(2(0(2(1(1(0(0(2(0(2(z0)))))))))))), 0'(2(0(2(1(1(0(0(2(0(2(z0))))))))))), 2'(0(2(1(1(0(0(2(0(2(z0)))))))))), 0'(2(1(1(0(0(2(0(2(z0))))))))), 2'(1(1(0(0(2(0(2(z0)))))))), 1'(1(0(0(2(0(2(z0))))))), 1'(0(0(2(0(2(z0)))))), 0'(0(2(0(2(z0))))), 0'(2(0(2(z0)))), 2'(0(2(z0))), 0'(2(z0)), 2'(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_3_1, ENCODE_1_1, ENCODE_2_1

Compound Symbols:   c1_2, c2_2, c3_2, c9_18, c10_18, c11_18, c12_18, c13_18, c14_18, c15_18, c16_18, c17_18, c18_18, c19_18, c20_18, c21_18, c22_18, c23_18, c24_18, c25_18, c26_18, c27_18, c28_18, c29_18, c30_18, c31_18, c33_18, c34_18, c35_18, c36_18, c37_18, c38_18, c39_18, c40_18, c41_18, c42_18, c43_18, c44_18, c45_18, c46_18, c47_18, c48_18, c49_18, c50_18, c51_18, c52_18, c53_18, c55_18, c56_18, c57_18, c58_18, c59_18, c60_18, c61_18, c62_18, c63_18, c64_18, c65_18, c66_18, c67_18, c68_18, c69_18, c70_18, c71_18, c72_18, c73_18, c75_18, c76_18, c77_18, c78_18, c79_18, c80_18, c81_18, c82_18, c83_18, c84_18, c85_18, c86_18, c87_18, c88_18, c89_18, c90_18, c91_18, 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_0(c_0(c_1(c_0(c_0(c_0(c_2(c_1(c_1(c_2(c_0(c_1(c_0(c_1(c_2(c_0(c_0(z0)))))))))))))))))) -> 0(1(0(1(1(0(0(2(1(1(0(0(2(0(2(0(0(0(z0))))))))))))))))))
   0(c_0(c_1(c_3(c_2(c_1(c_0(c_0(c_3(c_2(c_3(c_1(c_3(c_0(c_0(c_2(c_0(c_0(z0)))))))))))))))))) -> 0(0(2(3(2(0(1(0(2(1(0(1(0(3(0(3(0(3(z0))))))))))))))))))
   0(c_3(c_1(c_2(c_3(c_1(c_0(c_3(c_3(c_3(c_1(c_3(c_0(c_3(c_2(c_2(c_1(c_2(z0)))))))))))))))))) -> 1(0(3(1(0(3(3(3(3(2(3(2(3(2(0(2(1(1(z0))))))))))))))))))
   0(c_0(c_3(c_0(c_3(c_1(c_2(c_0(c_3(c_0(c_3(c_1(c_0(c_0(c_1(c_0(c_1(c_3(z0)))))))))))))))))) -> 0(3(0(0(3(3(0(1(0(3(0(1(0(0(2(1(1(3(z0))))))))))))))))))
   0(c_2(c_3(c_3(c_1(c_0(c_3(c_0(c_0(c_0(c_2(c_0(c_1(c_3(c_1(c_3(c_3(c_0(z0)))))))))))))))))) -> 0(3(0(3(3(2(3(2(3(0(0(0(0(1(1(1(3(0(z0))))))))))))))))))
   0(c_0(c_1(c_3(c_1(c_0(c_3(c_1(c_1(c_3(c_1(c_2(c_3(c_1(c_2(c_2(c_1(c_1(z0)))))))))))))))))) -> 0(3(0(2(1(0(3(2(1(1(2(1(3(1(3(1(1(1(z0))))))))))))))))))
   0(c_0(c_3(c_2(c_1(c_3(c_1(c_3(c_3(c_0(c_1(c_2(c_0(c_0(c_0(c_2(c_0(c_2(z0)))))))))))))))))) -> 0(3(0(0(2(1(3(1(2(3(2(1(0(0(0(3(2(0(z0))))))))))))))))))
   0(c_3(c_3(c_3(c_1(c_2(c_0(c_0(c_3(c_2(c_0(c_1(c_2(c_1(c_3(c_0(c_2(c_0(z0)))))))))))))))))) -> 0(2(1(0(1(0(1(0(0(3(3(2(3(0(2(3(2(3(z0))))))))))))))))))
   0(c_0(c_1(c_2(c_0(c_0(c_3(c_3(c_2(c_1(c_3(c_3(c_3(c_1(c_1(c_1(c_1(c_2(z0)))))))))))))))))) -> 0(0(3(3(1(0(2(3(2(1(1(3(1(1(1(3(2(0(z0))))))))))))))))))
   0(c_0(c_1(c_1(c_1(c_3(c_2(c_2(c_2(c_1(c_3(c_2(c_3(c_0(c_0(c_0(c_0(c_0(z0)))))))))))))))))) -> 1(0(0(3(2(0(1(3(2(0(0(2(3(1(0(2(1(0(z0))))))))))))))))))
   0(c_3(c_0(c_3(c_2(c_2(c_0(c_3(c_3(c_1(c_0(c_0(c_3(c_0(c_3(c_0(c_1(c_0(z0)))))))))))))))))) -> 0(3(0(0(3(3(3(2(1(3(2(0(0(1(3(0(0(0(z0))))))))))))))))))
   0(c_0(c_0(c_3(c_0(c_3(c_0(c_1(c_2(c_1(c_0(c_0(c_0(c_1(c_2(c_3(c_3(c_3(z0)))))))))))))))))) -> 0(0(0(2(3(0(0(0(0(1(1(3(1(0(2(3(3(3(z0))))))))))))))))))
   0(c_0(c_3(c_0(c_3(c_3(c_3(c_1(c_1(c_1(c_3(c_1(c_1(c_2(c_1(c_2(c_3(c_0(z0)))))))))))))))))) -> 0(3(3(1(2(1(3(0(3(3(2(0(1(1(0(1(1(3(z0))))))))))))))))))
   0(c_0(c_1(c_0(c_1(c_1(c_1(c_0(c_2(c_2(c_3(c_3(c_1(c_3(c_0(c_2(c_1(c_0(z0)))))))))))))))))) -> 0(0(1(1(1(3(3(3(2(1(1(0(0(1(2(0(2(0(z0))))))))))))))))))
   0(c_0(c_0(c_0(c_3(c_0(c_3(c_1(c_3(c_1(c_2(c_2(c_1(c_3(c_1(c_0(c_0(c_2(z0)))))))))))))))))) -> 0(0(3(3(2(1(3(0(0(1(1(2(0(0(1(0(2(3(z0))))))))))))))))))
   0(c_0(c_1(c_2(c_0(c_1(c_0(c_1(c_1(c_0(c_1(c_2(c_2(c_3(c_3(c_1(c_2(c_2(z0)))))))))))))))))) -> 0(2(0(1(2(3(1(1(0(0(2(3(2(1(1(1(0(2(z0))))))))))))))))))
   0(c_2(c_2(c_3(c_2(c_3(c_2(c_2(c_2(c_2(c_2(c_3(c_3(c_0(c_0(c_0(c_0(c_3(z0)))))))))))))))))) -> 0(2(0(3(2(2(0(3(3(3(2(2(2(0(2(0(2(3(z0))))))))))))))))))
   0(c_0(c_2(c_3(c_3(c_3(c_0(c_0(c_1(c_1(c_2(c_2(c_0(c_3(c_2(c_3(c_3(c_0(z0)))))))))))))))))) -> 0(3(0(2(3(0(1(3(3(2(0(0(3(3(2(1(2(0(z0))))))))))))))))))
   0(c_1(c_3(c_0(c_1(c_0(c_1(c_1(c_2(c_2(c_2(c_3(c_3(c_0(c_3(c_0(c_0(c_0(z0)))))))))))))))))) -> 0(2(1(0(0(3(2(0(0(3(3(3(1(1(0(1(2(0(z0))))))))))))))))))
   0(c_1(c_2(c_3(c_0(c_2(c_1(c_2(c_3(c_0(c_0(c_3(c_0(c_1(c_0(c_1(c_3(c_0(z0)))))))))))))))))) -> 0(2(0(0(0(2(3(3(1(1(3(2(0(3(0(0(1(1(z0))))))))))))))))))
   0(c_0(c_3(c_0(c_2(c_0(c_1(c_1(c_3(c_1(c_0(c_2(c_0(c_0(c_0(c_2(c_1(c_1(z0)))))))))))))))))) -> 0(3(1(0(3(2(0(1(0(1(0(0(2(0(1(2(0(1(z0))))))))))))))))))
   0(c_0(c_3(c_3(c_1(c_2(c_3(c_0(c_2(c_3(c_3(c_3(c_0(c_0(c_3(c_2(c_2(c_3(z0)))))))))))))))))) -> 3(0(3(3(2(0(2(3(2(0(3(1(3(3(2(0(0(3(z0))))))))))))))))))
   0(c_0(c_2(c_2(c_1(c_1(c_3(c_0(c_2(c_2(c_2(c_2(c_0(c_3(c_3(c_0(c_1(c_0(z0)))))))))))))))))) -> 0(2(2(1(1(0(2(3(0(0(2(0(2(1(3(2(3(0(z0))))))))))))))))))
   1(z0) -> c_1(z0)
   1(c_3(c_0(c_3(c_3(c_0(c_2(c_3(c_1(c_0(c_0(c_0(c_3(c_2(c_1(c_2(c_3(c_3(z0)))))))))))))))))) -> 1(3(0(2(0(0(3(1(0(2(1(0(2(3(3(3(3(3(z0))))))))))))))))))
   1(c_2(c_1(c_2(c_2(c_0(c_1(c_3(c_0(c_2(c_3(c_2(c_2(c_3(c_2(c_3(c_3(c_0(z0)))))))))))))))))) -> 1(2(0(3(0(2(2(1(3(3(2(2(2(3(3(2(1(0(z0))))))))))))))))))
   1(c_2(c_0(c_0(c_1(c_1(c_0(c_1(c_2(c_0(c_1(c_1(c_2(c_0(c_0(c_3(c_3(c_1(z0)))))))))))))))))) -> 1(1(1(0(1(0(1(0(1(0(0(2(0(1(3(3(2(2(z0))))))))))))))))))
   1(c_0(c_0(c_0(c_3(c_0(c_0(c_1(c_3(c_1(c_2(c_1(c_2(c_2(c_1(c_2(c_3(c_1(z0)))))))))))))))))) -> 1(3(0(0(0(3(2(1(2(1(0(0(1(3(2(2(1(1(z0))))))))))))))))))
   1(c_0(c_2(c_3(c_1(c_3(c_2(c_2(c_3(c_1(c_2(c_0(c_1(c_0(c_3(c_0(c_0(c_0(z0)))))))))))))))))) -> 1(0(3(3(2(1(3(2(3(0(1(2(0(0(2(1(0(0(z0))))))))))))))))))
   1(c_3(c_1(c_2(c_2(c_2(c_0(c_3(c_3(c_2(c_1(c_0(c_3(c_3(c_0(c_0(c_3(c_0(z0)))))))))))))))))) -> 1(3(2(3(0(2(3(3(3(0(0(2(0(1(3(2(1(0(z0))))))))))))))))))
   1(c_2(c_1(c_3(c_1(c_1(c_3(c_0(c_3(c_1(c_1(c_1(c_1(c_1(c_3(c_0(c_1(c_3(z0)))))))))))))))))) -> 1(0(1(1(0(3(1(3(3(1(1(3(2(1(1(1(1(3(z0))))))))))))))))))
   1(c_3(c_1(c_1(c_1(c_2(c_0(c_2(c_1(c_2(c_0(c_3(c_3(c_1(c_2(c_2(c_3(c_1(z0)))))))))))))))))) -> 1(2(1(2(1(2(2(1(1(1(1(0(3(3(3(0(3(2(z0))))))))))))))))))
   1(c_3(c_0(c_0(c_1(c_2(c_3(c_3(c_2(c_3(c_1(c_1(c_3(c_1(c_0(c_3(c_1(c_2(z0)))))))))))))))))) -> 1(1(2(3(3(3(3(1(1(0(2(0(1(3(3(2(0(1(z0))))))))))))))))))
   1(c_1(c_1(c_2(c_1(c_2(c_3(c_0(c_0(c_2(c_3(c_0(c_3(c_1(c_3(c_2(c_0(c_2(z0)))))))))))))))))) -> 1(1(1(3(0(2(0(2(0(2(3(2(0(3(3(1(1(2(z0))))))))))))))))))
   1(c_0(c_3(c_3(c_3(c_0(c_2(c_3(c_0(c_2(c_1(c_1(c_0(c_3(c_3(c_1(c_3(c_1(z0)))))))))))))))))) -> 1(3(3(1(1(1(0(3(0(0(3(3(3(2(3(2(0(1(z0))))))))))))))))))
   1(c_2(c_2(c_3(c_2(c_1(c_3(c_0(c_3(c_1(c_3(c_3(c_1(c_3(c_0(c_3(c_3(c_3(z0)))))))))))))))))) -> 1(3(3(1(1(2(0(3(3(2(3(1(3(2(0(3(3(3(z0))))))))))))))))))
   1(c_2(c_1(c_2(c_3(c_0(c_3(c_0(c_2(c_2(c_0(c_2(c_3(c_2(c_0(c_1(c_1(c_2(z0)))))))))))))))))) -> 1(0(1(3(2(2(0(2(1(2(1(3(2(0(2(3(0(2(z0))))))))))))))))))
   1(c_2(c_2(c_3(c_3(c_0(c_1(c_2(c_1(c_0(c_3(c_1(c_2(c_3(c_1(c_1(c_2(c_2(z0)))))))))))))))))) -> 1(3(3(2(3(3(1(2(2(0(1(2(2(2(1(1(1(0(z0))))))))))))))))))
   1(c_3(c_3(c_0(c_3(c_1(c_0(c_1(c_3(c_1(c_2(c_2(c_0(c_3(c_1(c_1(c_0(c_0(z0)))))))))))))))))) -> 1(3(2(0(3(0(0(0(3(2(1(3(1(1(1(1(3(0(z0))))))))))))))))))
   1(c_1(c_2(c_1(c_3(c_0(c_2(c_1(c_0(c_0(c_3(c_0(c_1(c_2(c_2(c_0(c_3(c_3(z0)))))))))))))))))) -> 1(0(3(2(1(0(3(3(1(0(2(2(0(1(0(2(1(3(z0))))))))))))))))))
   1(c_2(c_1(c_0(c_1(c_3(c_0(c_3(c_3(c_1(c_3(c_1(c_2(c_2(c_3(c_0(c_2(c_0(z0)))))))))))))))))) -> 1(1(3(3(2(0(0(3(2(1(2(3(3(2(0(1(1(0(z0))))))))))))))))))
   1(c_0(c_3(c_0(c_2(c_3(c_0(c_3(c_1(c_3(c_1(c_1(c_2(c_0(c_3(c_0(c_3(c_0(z0)))))))))))))))))) -> 1(0(1(0(2(3(0(3(0(3(0(3(3(1(0(2(1(3(z0))))))))))))))))))
   1(c_2(c_3(c_1(c_3(c_0(c_1(c_1(c_3(c_1(c_3(c_1(c_2(c_0(c_3(c_2(c_3(c_0(z0)))))))))))))))))) -> 1(1(3(2(1(3(3(0(2(0(3(3(1(1(3(2(0(1(z0))))))))))))))))))
   1(c_1(c_2(c_3(c_3(c_1(c_0(c_0(c_3(c_1(c_3(c_3(c_3(c_0(c_0(c_1(c_3(c_1(z0)))))))))))))))))) -> 1(3(0(2(3(3(3(1(1(0(3(3(3(0(1(1(0(1(z0))))))))))))))))))
   1(c_3(c_1(c_2(c_0(c_1(c_2(c_0(c_0(c_1(c_0(c_0(c_2(c_3(c_0(c_1(c_1(c_2(z0)))))))))))))))))) -> 1(3(2(2(0(2(1(0(1(0(0(1(2(0(1(1(3(0(z0))))))))))))))))))
   2(z0) -> c_2(z0)
   2(c_3(c_1(c_1(c_2(c_0(c_2(c_0(c_3(c_2(c_2(c_3(c_1(c_2(c_2(c_3(c_0(c_0(z0)))))))))))))))))) -> 2(2(2(2(1(3(0(2(0(3(2(1(0(1(0(3(2(3(z0))))))))))))))))))
   2(c_2(c_0(c_2(c_3(c_3(c_2(c_2(c_0(c_3(c_1(c_0(c_0(c_2(c_2(c_3(c_0(c_0(z0)))))))))))))))))) -> 2(2(0(0(3(3(2(3(2(3(2(0(2(0(0(0(1(2(z0))))))))))))))))))
   2(c_2(c_3(c_3(c_1(c_2(c_3(c_2(c_1(c_2(c_1(c_3(c_2(c_2(c_1(c_1(c_2(c_1(z0)))))))))))))))))) -> 2(1(1(1(2(2(3(2(3(3(3(2(1(2(1(2(2(1(z0))))))))))))))))))
   2(c_3(c_0(c_0(c_3(c_0(c_0(c_3(c_0(c_2(c_2(c_2(c_2(c_3(c_2(c_0(c_3(c_0(z0)))))))))))))))))) -> 2(2(3(0(2(0(0(2(0(3(3(2(3(3(2(0(0(0(z0))))))))))))))))))
   2(c_0(c_1(c_1(c_2(c_1(c_1(c_2(c_2(c_1(c_1(c_2(c_1(c_2(c_2(c_0(c_0(c_2(z0)))))))))))))))))) -> 2(0(2(1(2(1(0(2(2(2(1(2(1(0(2(1(1(1(z0))))))))))))))))))
   2(c_2(c_1(c_1(c_3(c_0(c_0(c_3(c_2(c_3(c_1(c_2(c_1(c_0(c_0(c_2(c_1(c_2(z0)))))))))))))))))) -> 2(1(0(0(2(1(0(3(3(2(2(1(1(1(0(3(2(2(z0))))))))))))))))))
   2(c_2(c_3(c_3(c_3(c_3(c_3(c_1(c_2(c_0(c_1(c_1(c_1(c_2(c_3(c_1(c_2(c_1(z0)))))))))))))))))) -> 1(3(3(3(2(0(1(2(1(2(1(3(2(3(3(2(1(1(z0))))))))))))))))))
   2(c_3(c_2(c_3(c_0(c_0(c_0(c_3(c_3(c_2(c_2(c_2(c_2(c_3(c_2(c_2(c_0(c_2(z0)))))))))))))))))) -> 2(3(3(2(3(2(0(2(2(0(0(3(2(0(2(2(3(2(z0))))))))))))))))))
   2(c_2(c_0(c_1(c_2(c_3(c_3(c_0(c_3(c_2(c_2(c_2(c_0(c_3(c_3(c_1(c_1(c_3(z0)))))))))))))))))) -> 2(1(3(2(0(3(3(0(2(1(1(3(2(0(3(2(2(3(z0))))))))))))))))))
   2(c_0(c_0(c_2(c_2(c_0(c_3(c_0(c_1(c_0(c_2(c_3(c_3(c_1(c_2(c_1(c_2(c_2(z0)))))))))))))))))) -> 2(0(1(2(2(3(0(3(3(2(0(1(2(2(1(0(2(0(z0))))))))))))))))))
   2(c_3(c_1(c_1(c_3(c_1(c_0(c_2(c_3(c_0(c_0(c_0(c_2(c_3(c_3(c_2(c_3(c_1(z0)))))))))))))))))) -> 2(3(3(2(0(2(1(0(3(3(0(3(1(0(1(2(3(1(z0))))))))))))))))))
   2(c_2(c_3(c_1(c_1(c_2(c_2(c_0(c_1(c_0(c_1(c_0(c_1(c_0(c_1(c_3(c_1(c_0(z0)))))))))))))))))) -> 2(0(1(0(1(1(0(3(2(1(1(0(2(2(3(1(1(0(z0))))))))))))))))))
   2(c_2(c_3(c_1(c_2(c_2(c_2(c_1(c_2(c_0(c_1(c_3(c_2(c_2(c_3(c_3(c_0(c_0(z0)))))))))))))))))) -> 2(1(2(2(3(3(2(2(0(1(0(2(2(3(1(0(2(3(z0))))))))))))))))))
   2(c_0(c_0(c_3(c_0(c_3(c_1(c_1(c_2(c_2(c_2(c_2(c_3(c_2(c_0(c_0(c_3(c_0(z0)))))))))))))))))) -> 2(0(3(0(1(3(2(2(3(0(1(3(2(2(0(2(0(0(z0))))))))))))))))))
   2(c_0(c_0(c_0(c_0(c_3(c_1(c_2(c_2(c_0(c_3(c_0(c_2(c_0(c_3(c_1(c_3(c_2(z0)))))))))))))))))) -> 2(0(1(0(2(3(2(0(3(3(2(3(0(2(1(0(0(0(z0))))))))))))))))))
   2(c_3(c_0(c_0(c_0(c_2(c_0(c_0(c_1(c_3(c_3(c_1(c_2(c_2(c_2(c_2(c_2(c_2(z0)))))))))))))))))) -> 2(1(2(2(3(0(0(3(0(3(2(0(0(2(2(1(2(2(z0))))))))))))))))))
   2(c_0(c_0(c_3(c_1(c_2(c_1(c_3(c_0(c_2(c_2(c_2(c_1(c_2(c_2(c_2(c_3(c_1(z0)))))))))))))))))) -> 2(1(0(3(2(2(1(2(3(2(2(0(3(2(2(0(1(1(z0))))))))))))))))))
   2(c_1(c_2(c_0(c_2(c_1(c_3(c_0(c_1(c_2(c_1(c_0(c_2(c_1(c_3(c_1(c_2(c_0(z0)))))))))))))))))) -> 2(1(2(3(1(0(1(0(0(2(1(1(3(2(0(2(1(2(z0))))))))))))))))))
   2(c_3(c_0(c_3(c_1(c_1(c_2(c_3(c_1(c_3(c_2(c_0(c_1(c_2(c_2(c_1(c_3(c_0(z0)))))))))))))))))) -> 2(1(1(0(1(2(1(3(3(3(2(2(0(2(1(3(3(0(z0))))))))))))))))))
   3(z0) -> c_3(z0)
   3(c_2(c_1(c_1(c_1(c_3(c_1(c_1(c_2(c_2(c_1(c_2(c_1(c_1(c_2(c_3(c_0(c_1(z0)))))))))))))))))) -> 3(2(1(1(1(1(1(0(3(2(2(2(1(2(3(1(1(1(z0))))))))))))))))))
   3(c_1(c_2(c_1(c_0(c_3(c_1(c_1(c_2(c_2(c_3(c_0(c_2(c_2(c_3(c_0(c_2(c_0(z0)))))))))))))))))) -> 3(1(1(1(2(2(2(0(3(2(0(3(2(3(2(0(0(1(z0))))))))))))))))))
   3(c_3(c_1(c_1(c_3(c_1(c_0(c_1(c_3(c_1(c_2(c_3(c_3(c_3(c_1(c_1(c_3(c_0(z0)))))))))))))))))) -> 3(3(1(0(3(3(1(3(3(3(3(1(1(1(1(2(0(1(z0))))))))))))))))))
   3(c_1(c_3(c_0(c_3(c_0(c_3(c_2(c_2(c_3(c_0(c_2(c_3(c_1(c_2(c_1(c_0(c_2(z0)))))))))))))))))) -> 3(0(2(2(3(2(0(1(3(1(0(2(1(3(3(2(0(3(z0))))))))))))))))))
   3(c_0(c_2(c_0(c_3(c_3(c_0(c_0(c_2(c_2(c_0(c_1(c_0(c_3(c_3(c_1(c_3(c_1(z0)))))))))))))))))) -> 3(0(2(1(0(1(3(3(2(0(0(3(0(3(2(3(1(0(z0))))))))))))))))))
   3(c_3(c_0(c_2(c_1(c_2(c_2(c_0(c_0(c_1(c_3(c_2(c_0(c_0(c_1(c_2(c_3(c_0(z0)))))))))))))))))) -> 0(0(1(1(0(2(2(3(3(2(1(0(0(2(3(3(2(0(z0))))))))))))))))))
   3(c_3(c_0(c_2(c_0(c_2(c_0(c_3(c_3(c_3(c_1(c_0(c_2(c_2(c_2(c_3(c_3(c_0(z0)))))))))))))))))) -> 3(2(2(1(0(3(2(0(0(2(3(3(2(3(3(0(0(3(z0))))))))))))))))))
   3(c_0(c_1(c_0(c_3(c_1(c_2(c_2(c_0(c_1(c_1(c_1(c_3(c_3(c_0(c_2(c_3(c_0(z0)))))))))))))))))) -> 0(3(3(2(1(0(0(2(3(3(1(1(0(1(1(3(2(0(z0))))))))))))))))))
   3(c_1(c_2(c_0(c_1(c_2(c_0(c_3(c_1(c_2(c_1(c_0(c_0(c_2(c_0(c_3(c_0(c_2(z0)))))))))))))))))) -> 3(1(0(2(2(1(3(0(0(2(0(3(2(1(1(0(2(0(z0))))))))))))))))))
   3(c_1(c_3(c_1(c_1(c_3(c_0(c_2(c_0(c_0(c_3(c_0(c_2(c_3(c_1(c_2(c_2(c_2(z0)))))))))))))))))) -> 3(1(3(1(0(3(3(2(1(2(1(2(0(2(3(2(0(0(z0))))))))))))))))))
   3(c_0(c_1(c_2(c_2(c_3(c_0(c_1(c_2(c_1(c_3(c_1(c_3(c_3(c_3(c_1(c_1(c_3(z0)))))))))))))))))) -> 0(2(1(3(3(3(2(1(1(0(1(3(3(2(1(1(3(3(z0))))))))))))))))))
   3(c_0(c_2(c_0(c_3(c_1(c_1(c_3(c_2(c_1(c_3(c_0(c_2(c_0(c_2(c_1(c_1(c_3(z0)))))))))))))))))) -> 1(3(3(2(0(0(0(1(3(3(2(0(1(1(2(1(2(3(z0))))))))))))))))))
   3(c_3(c_0(c_3(c_0(c_0(c_2(c_3(c_0(c_2(c_3(c_3(c_1(c_2(c_2(c_2(c_2(c_0(z0)))))))))))))))))) -> 3(3(0(0(3(2(3(2(0(0(0(2(3(2(1(2(3(2(z0))))))))))))))))))
   3(c_3(c_3(c_3(c_3(c_0(c_3(c_1(c_1(c_3(c_2(c_1(c_1(c_3(c_2(c_2(c_0(c_2(z0)))))))))))))))))) -> 3(3(1(0(1(2(3(2(0(1(1(3(3(3(3(2(3(2(z0))))))))))))))))))
   3(c_2(c_2(c_3(c_0(c_0(c_3(c_0(c_0(c_2(c_3(c_0(c_1(c_1(c_1(c_1(c_3(c_0(z0)))))))))))))))))) -> 3(2(0(3(2(3(0(1(0(1(1(0(3(1(3(0(2(0(z0))))))))))))))))))
   3(c_1(c_3(c_1(c_1(c_3(c_3(c_3(c_2(c_1(c_2(c_3(c_0(c_2(c_1(c_2(c_3(c_0(z0)))))))))))))))))) -> 3(3(3(2(0(1(3(2(0(1(3(3(1(2(1(1(2(3(z0))))))))))))))))))
   3(c_0(c_2(c_2(c_0(c_0(c_1(c_2(c_3(c_0(c_0(c_1(c_1(c_2(c_0(c_1(c_2(c_2(z0)))))))))))))))))) -> 2(3(0(2(3(1(1(0(2(0(2(1(1(0(0(2(0(2(z0))))))))))))))))))
Tuples:
   ENCARG(cons_2(z0)) -> c2(2'(encArg(z0)), ENCARG(z0))
   ENCARG(cons_3(z0)) -> c3(3'(encArg(z0)), ENCARG(z0))
   0'(c_0(c_0(c_1(c_0(c_0(c_0(c_2(c_1(c_1(c_2(c_0(c_1(c_0(c_1(c_2(c_0(c_0(z0)))))))))))))))))) -> c9(0'(1(0(1(1(0(0(2(1(1(0(0(2(0(2(0(0(0(z0)))))))))))))))))), 1'(0(1(1(0(0(2(1(1(0(0(2(0(2(0(0(0(z0))))))))))))))))), 0'(1(1(0(0(2(1(1(0(0(2(0(2(0(0(0(z0)))))))))))))))), 1'(1(0(0(2(1(1(0(0(2(0(2(0(0(0(z0))))))))))))))), 1'(0(0(2(1(1(0(0(2(0(2(0(0(0(z0)))))))))))))), 0'(0(2(1(1(0(0(2(0(2(0(0(0(z0))))))))))))), 0'(2(1(1(0(0(2(0(2(0(0(0(z0)))))))))))), 2'(1(1(0(0(2(0(2(0(0(0(z0))))))))))), 1'(1(0(0(2(0(2(0(0(0(z0)))))))))), 1'(0(0(2(0(2(0(0(0(z0))))))))), 0'(0(2(0(2(0(0(0(z0)))))))), 0'(2(0(2(0(0(0(z0))))))), 2'(0(2(0(0(0(z0)))))), 0'(2(0(0(0(z0))))), 2'(0(0(0(z0)))), 0'(0(0(z0))), 0'(0(z0)), 0'(z0))
   0'(c_0(c_1(c_3(c_2(c_1(c_0(c_0(c_3(c_2(c_3(c_1(c_3(c_0(c_0(c_2(c_0(c_0(z0)))))))))))))))))) -> c10(0'(0(2(3(2(0(1(0(2(1(0(1(0(3(0(3(0(3(z0)))))))))))))))))), 0'(2(3(2(0(1(0(2(1(0(1(0(3(0(3(0(3(z0))))))))))))))))), 2'(3(2(0(1(0(2(1(0(1(0(3(0(3(0(3(z0)))))))))))))))), 3'(2(0(1(0(2(1(0(1(0(3(0(3(0(3(z0))))))))))))))), 2'(0(1(0(2(1(0(1(0(3(0(3(0(3(z0)))))))))))))), 0'(1(0(2(1(0(1(0(3(0(3(0(3(z0))))))))))))), 1'(0(2(1(0(1(0(3(0(3(0(3(z0)))))))))))), 0'(2(1(0(1(0(3(0(3(0(3(z0))))))))))), 2'(1(0(1(0(3(0(3(0(3(z0)))))))))), 1'(0(1(0(3(0(3(0(3(z0))))))))), 0'(1(0(3(0(3(0(3(z0)))))))), 1'(0(3(0(3(0(3(z0))))))), 0'(3(0(3(0(3(z0)))))), 3'(0(3(0(3(z0))))), 0'(3(0(3(z0)))), 3'(0(3(z0))), 0'(3(z0)), 3'(z0))
   0'(c_3(c_1(c_2(c_3(c_1(c_0(c_3(c_3(c_3(c_1(c_3(c_0(c_3(c_2(c_2(c_1(c_2(z0)))))))))))))))))) -> c11(1'(0(3(1(0(3(3(3(3(2(3(2(3(2(0(2(1(1(z0)))))))))))))))))), 0'(3(1(0(3(3(3(3(2(3(2(3(2(0(2(1(1(z0))))))))))))))))), 3'(1(0(3(3(3(3(2(3(2(3(2(0(2(1(1(z0)))))))))))))))), 1'(0(3(3(3(3(2(3(2(3(2(0(2(1(1(z0))))))))))))))), 0'(3(3(3(3(2(3(2(3(2(0(2(1(1(z0)))))))))))))), 3'(3(3(3(2(3(2(3(2(0(2(1(1(z0))))))))))))), 3'(3(3(2(3(2(3(2(0(2(1(1(z0)))))))))))), 3'(3(2(3(2(3(2(0(2(1(1(z0))))))))))), 3'(2(3(2(3(2(0(2(1(1(z0)))))))))), 2'(3(2(3(2(0(2(1(1(z0))))))))), 3'(2(3(2(0(2(1(1(z0)))))))), 2'(3(2(0(2(1(1(z0))))))), 3'(2(0(2(1(1(z0)))))), 2'(0(2(1(1(z0))))), 0'(2(1(1(z0)))), 2'(1(1(z0))), 1'(1(z0)), 1'(z0))
   0'(c_0(c_3(c_0(c_3(c_1(c_2(c_0(c_3(c_0(c_3(c_1(c_0(c_0(c_1(c_0(c_1(c_3(z0)))))))))))))))))) -> c12(0'(3(0(0(3(3(0(1(0(3(0(1(0(0(2(1(1(3(z0)))))))))))))))))), 3'(0(0(3(3(0(1(0(3(0(1(0(0(2(1(1(3(z0))))))))))))))))), 0'(0(3(3(0(1(0(3(0(1(0(0(2(1(1(3(z0)))))))))))))))), 0'(3(3(0(1(0(3(0(1(0(0(2(1(1(3(z0))))))))))))))), 3'(3(0(1(0(3(0(1(0(0(2(1(1(3(z0)))))))))))))), 3'(0(1(0(3(0(1(0(0(2(1(1(3(z0))))))))))))), 0'(1(0(3(0(1(0(0(2(1(1(3(z0)))))))))))), 1'(0(3(0(1(0(0(2(1(1(3(z0))))))))))), 0'(3(0(1(0(0(2(1(1(3(z0)))))))))), 3'(0(1(0(0(2(1(1(3(z0))))))))), 0'(1(0(0(2(1(1(3(z0)))))))), 1'(0(0(2(1(1(3(z0))))))), 0'(0(2(1(1(3(z0)))))), 0'(2(1(1(3(z0))))), 2'(1(1(3(z0)))), 1'(1(3(z0))), 1'(3(z0)), 3'(z0))
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   3'(c_3(c_0(c_2(c_0(c_2(c_0(c_3(c_3(c_3(c_1(c_0(c_2(c_2(c_2(c_3(c_3(c_0(z0)))))))))))))))))) -> c81(3'(2(2(1(0(3(2(0(0(2(3(3(2(3(3(0(0(3(z0)))))))))))))))))), 2'(2(1(0(3(2(0(0(2(3(3(2(3(3(0(0(3(z0))))))))))))))))), 2'(1(0(3(2(0(0(2(3(3(2(3(3(0(0(3(z0)))))))))))))))), 1'(0(3(2(0(0(2(3(3(2(3(3(0(0(3(z0))))))))))))))), 0'(3(2(0(0(2(3(3(2(3(3(0(0(3(z0)))))))))))))), 3'(2(0(0(2(3(3(2(3(3(0(0(3(z0))))))))))))), 2'(0(0(2(3(3(2(3(3(0(0(3(z0)))))))))))), 0'(0(2(3(3(2(3(3(0(0(3(z0))))))))))), 0'(2(3(3(2(3(3(0(0(3(z0)))))))))), 2'(3(3(2(3(3(0(0(3(z0))))))))), 3'(3(2(3(3(0(0(3(z0)))))))), 3'(2(3(3(0(0(3(z0))))))), 2'(3(3(0(0(3(z0)))))), 3'(3(0(0(3(z0))))), 3'(0(0(3(z0)))), 0'(0(3(z0))), 0'(3(z0)), 3'(z0))
   3'(c_0(c_1(c_0(c_3(c_1(c_2(c_2(c_0(c_1(c_1(c_1(c_3(c_3(c_0(c_2(c_3(c_0(z0)))))))))))))))))) -> c82(0'(3(3(2(1(0(0(2(3(3(1(1(0(1(1(3(2(0(z0)))))))))))))))))), 3'(3(2(1(0(0(2(3(3(1(1(0(1(1(3(2(0(z0))))))))))))))))), 3'(2(1(0(0(2(3(3(1(1(0(1(1(3(2(0(z0)))))))))))))))), 2'(1(0(0(2(3(3(1(1(0(1(1(3(2(0(z0))))))))))))))), 1'(0(0(2(3(3(1(1(0(1(1(3(2(0(z0)))))))))))))), 0'(0(2(3(3(1(1(0(1(1(3(2(0(z0))))))))))))), 0'(2(3(3(1(1(0(1(1(3(2(0(z0)))))))))))), 2'(3(3(1(1(0(1(1(3(2(0(z0))))))))))), 3'(3(1(1(0(1(1(3(2(0(z0)))))))))), 3'(1(1(0(1(1(3(2(0(z0))))))))), 1'(1(0(1(1(3(2(0(z0)))))))), 1'(0(1(1(3(2(0(z0))))))), 0'(1(1(3(2(0(z0)))))), 1'(1(3(2(0(z0))))), 1'(3(2(0(z0)))), 3'(2(0(z0))), 2'(0(z0)), 0'(z0))
   3'(c_1(c_2(c_0(c_1(c_2(c_0(c_3(c_1(c_2(c_1(c_0(c_0(c_2(c_0(c_3(c_0(c_2(z0)))))))))))))))))) -> c83(3'(1(0(2(2(1(3(0(0(2(0(3(2(1(1(0(2(0(z0)))))))))))))))))), 1'(0(2(2(1(3(0(0(2(0(3(2(1(1(0(2(0(z0))))))))))))))))), 0'(2(2(1(3(0(0(2(0(3(2(1(1(0(2(0(z0)))))))))))))))), 2'(2(1(3(0(0(2(0(3(2(1(1(0(2(0(z0))))))))))))))), 2'(1(3(0(0(2(0(3(2(1(1(0(2(0(z0)))))))))))))), 1'(3(0(0(2(0(3(2(1(1(0(2(0(z0))))))))))))), 3'(0(0(2(0(3(2(1(1(0(2(0(z0)))))))))))), 0'(0(2(0(3(2(1(1(0(2(0(z0))))))))))), 0'(2(0(3(2(1(1(0(2(0(z0)))))))))), 2'(0(3(2(1(1(0(2(0(z0))))))))), 0'(3(2(1(1(0(2(0(z0)))))))), 3'(2(1(1(0(2(0(z0))))))), 2'(1(1(0(2(0(z0)))))), 1'(1(0(2(0(z0))))), 1'(0(2(0(z0)))), 0'(2(0(z0))), 2'(0(z0)), 0'(z0))
   3'(c_1(c_3(c_1(c_1(c_3(c_0(c_2(c_0(c_0(c_3(c_0(c_2(c_3(c_1(c_2(c_2(c_2(z0)))))))))))))))))) -> c84(3'(1(3(1(0(3(3(2(1(2(1(2(0(2(3(2(0(0(z0)))))))))))))))))), 1'(3(1(0(3(3(2(1(2(1(2(0(2(3(2(0(0(z0))))))))))))))))), 3'(1(0(3(3(2(1(2(1(2(0(2(3(2(0(0(z0)))))))))))))))), 1'(0(3(3(2(1(2(1(2(0(2(3(2(0(0(z0))))))))))))))), 0'(3(3(2(1(2(1(2(0(2(3(2(0(0(z0)))))))))))))), 3'(3(2(1(2(1(2(0(2(3(2(0(0(z0))))))))))))), 3'(2(1(2(1(2(0(2(3(2(0(0(z0)))))))))))), 2'(1(2(1(2(0(2(3(2(0(0(z0))))))))))), 1'(2(1(2(0(2(3(2(0(0(z0)))))))))), 2'(1(2(0(2(3(2(0(0(z0))))))))), 1'(2(0(2(3(2(0(0(z0)))))))), 2'(0(2(3(2(0(0(z0))))))), 0'(2(3(2(0(0(z0)))))), 2'(3(2(0(0(z0))))), 3'(2(0(0(z0)))), 2'(0(0(z0))), 0'(0(z0)), 0'(z0))
   3'(c_0(c_1(c_2(c_2(c_3(c_0(c_1(c_2(c_1(c_3(c_1(c_3(c_3(c_3(c_1(c_1(c_3(z0)))))))))))))))))) -> c85(0'(2(1(3(3(3(2(1(1(0(1(3(3(2(1(1(3(3(z0)))))))))))))))))), 2'(1(3(3(3(2(1(1(0(1(3(3(2(1(1(3(3(z0))))))))))))))))), 1'(3(3(3(2(1(1(0(1(3(3(2(1(1(3(3(z0)))))))))))))))), 3'(3(3(2(1(1(0(1(3(3(2(1(1(3(3(z0))))))))))))))), 3'(3(2(1(1(0(1(3(3(2(1(1(3(3(z0)))))))))))))), 3'(2(1(1(0(1(3(3(2(1(1(3(3(z0))))))))))))), 2'(1(1(0(1(3(3(2(1(1(3(3(z0)))))))))))), 1'(1(0(1(3(3(2(1(1(3(3(z0))))))))))), 1'(0(1(3(3(2(1(1(3(3(z0)))))))))), 0'(1(3(3(2(1(1(3(3(z0))))))))), 1'(3(3(2(1(1(3(3(z0)))))))), 3'(3(2(1(1(3(3(z0))))))), 3'(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_2(c_0(c_3(c_1(c_1(c_3(c_2(c_1(c_3(c_0(c_2(c_0(c_2(c_1(c_1(c_3(z0)))))))))))))))))) -> c86(1'(3(3(2(0(0(0(1(3(3(2(0(1(1(2(1(2(3(z0)))))))))))))))))), 3'(3(2(0(0(0(1(3(3(2(0(1(1(2(1(2(3(z0))))))))))))))))), 3'(2(0(0(0(1(3(3(2(0(1(1(2(1(2(3(z0)))))))))))))))), 2'(0(0(0(1(3(3(2(0(1(1(2(1(2(3(z0))))))))))))))), 0'(0(0(1(3(3(2(0(1(1(2(1(2(3(z0)))))))))))))), 0'(0(1(3(3(2(0(1(1(2(1(2(3(z0))))))))))))), 0'(1(3(3(2(0(1(1(2(1(2(3(z0)))))))))))), 1'(3(3(2(0(1(1(2(1(2(3(z0))))))))))), 3'(3(2(0(1(1(2(1(2(3(z0)))))))))), 3'(2(0(1(1(2(1(2(3(z0))))))))), 2'(0(1(1(2(1(2(3(z0)))))))), 0'(1(1(2(1(2(3(z0))))))), 1'(1(2(1(2(3(z0)))))), 1'(2(1(2(3(z0))))), 2'(1(2(3(z0)))), 1'(2(3(z0))), 2'(3(z0)), 3'(z0))
   3'(c_3(c_0(c_3(c_0(c_0(c_2(c_3(c_0(c_2(c_3(c_3(c_1(c_2(c_2(c_2(c_2(c_0(z0)))))))))))))))))) -> c87(3'(3(0(0(3(2(3(2(0(0(0(2(3(2(1(2(3(2(z0)))))))))))))))))), 3'(0(0(3(2(3(2(0(0(0(2(3(2(1(2(3(2(z0))))))))))))))))), 0'(0(3(2(3(2(0(0(0(2(3(2(1(2(3(2(z0)))))))))))))))), 0'(3(2(3(2(0(0(0(2(3(2(1(2(3(2(z0))))))))))))))), 3'(2(3(2(0(0(0(2(3(2(1(2(3(2(z0)))))))))))))), 2'(3(2(0(0(0(2(3(2(1(2(3(2(z0))))))))))))), 3'(2(0(0(0(2(3(2(1(2(3(2(z0)))))))))))), 2'(0(0(0(2(3(2(1(2(3(2(z0))))))))))), 0'(0(0(2(3(2(1(2(3(2(z0)))))))))), 0'(0(2(3(2(1(2(3(2(z0))))))))), 0'(2(3(2(1(2(3(2(z0)))))))), 2'(3(2(1(2(3(2(z0))))))), 3'(2(1(2(3(2(z0)))))), 2'(1(2(3(2(z0))))), 1'(2(3(2(z0)))), 2'(3(2(z0))), 3'(2(z0)), 2'(z0))
   3'(c_3(c_3(c_3(c_3(c_0(c_3(c_1(c_1(c_3(c_2(c_1(c_1(c_3(c_2(c_2(c_0(c_2(z0)))))))))))))))))) -> c88(3'(3(1(0(1(2(3(2(0(1(1(3(3(3(3(2(3(2(z0)))))))))))))))))), 3'(1(0(1(2(3(2(0(1(1(3(3(3(3(2(3(2(z0))))))))))))))))), 1'(0(1(2(3(2(0(1(1(3(3(3(3(2(3(2(z0)))))))))))))))), 0'(1(2(3(2(0(1(1(3(3(3(3(2(3(2(z0))))))))))))))), 1'(2(3(2(0(1(1(3(3(3(3(2(3(2(z0)))))))))))))), 2'(3(2(0(1(1(3(3(3(3(2(3(2(z0))))))))))))), 3'(2(0(1(1(3(3(3(3(2(3(2(z0)))))))))))), 2'(0(1(1(3(3(3(3(2(3(2(z0))))))))))), 0'(1(1(3(3(3(3(2(3(2(z0)))))))))), 1'(1(3(3(3(3(2(3(2(z0))))))))), 1'(3(3(3(3(2(3(2(z0)))))))), 3'(3(3(3(2(3(2(z0))))))), 3'(3(3(2(3(2(z0)))))), 3'(3(2(3(2(z0))))), 3'(2(3(2(z0)))), 2'(3(2(z0))), 3'(2(z0)), 2'(z0))
   3'(c_2(c_2(c_3(c_0(c_0(c_3(c_0(c_0(c_2(c_3(c_0(c_1(c_1(c_1(c_1(c_3(c_0(z0)))))))))))))))))) -> c89(3'(2(0(3(2(3(0(1(0(1(1(0(3(1(3(0(2(0(z0)))))))))))))))))), 2'(0(3(2(3(0(1(0(1(1(0(3(1(3(0(2(0(z0))))))))))))))))), 0'(3(2(3(0(1(0(1(1(0(3(1(3(0(2(0(z0)))))))))))))))), 3'(2(3(0(1(0(1(1(0(3(1(3(0(2(0(z0))))))))))))))), 2'(3(0(1(0(1(1(0(3(1(3(0(2(0(z0)))))))))))))), 3'(0(1(0(1(1(0(3(1(3(0(2(0(z0))))))))))))), 0'(1(0(1(1(0(3(1(3(0(2(0(z0)))))))))))), 1'(0(1(1(0(3(1(3(0(2(0(z0))))))))))), 0'(1(1(0(3(1(3(0(2(0(z0)))))))))), 1'(1(0(3(1(3(0(2(0(z0))))))))), 1'(0(3(1(3(0(2(0(z0)))))))), 0'(3(1(3(0(2(0(z0))))))), 3'(1(3(0(2(0(z0)))))), 1'(3(0(2(0(z0))))), 3'(0(2(0(z0)))), 0'(2(0(z0))), 2'(0(z0)), 0'(z0))
   3'(c_1(c_3(c_1(c_1(c_3(c_3(c_3(c_2(c_1(c_2(c_3(c_0(c_2(c_1(c_2(c_3(c_0(z0)))))))))))))))))) -> c90(3'(3(3(2(0(1(3(2(0(1(3(3(1(2(1(1(2(3(z0)))))))))))))))))), 3'(3(2(0(1(3(2(0(1(3(3(1(2(1(1(2(3(z0))))))))))))))))), 3'(2(0(1(3(2(0(1(3(3(1(2(1(1(2(3(z0)))))))))))))))), 2'(0(1(3(2(0(1(3(3(1(2(1(1(2(3(z0))))))))))))))), 0'(1(3(2(0(1(3(3(1(2(1(1(2(3(z0)))))))))))))), 1'(3(2(0(1(3(3(1(2(1(1(2(3(z0))))))))))))), 3'(2(0(1(3(3(1(2(1(1(2(3(z0)))))))))))), 2'(0(1(3(3(1(2(1(1(2(3(z0))))))))))), 0'(1(3(3(1(2(1(1(2(3(z0)))))))))), 1'(3(3(1(2(1(1(2(3(z0))))))))), 3'(3(1(2(1(1(2(3(z0)))))))), 3'(1(2(1(1(2(3(z0))))))), 1'(2(1(1(2(3(z0)))))), 2'(1(1(2(3(z0))))), 1'(1(2(3(z0)))), 1'(2(3(z0))), 2'(3(z0)), 3'(z0))
   3'(c_0(c_2(c_2(c_0(c_0(c_1(c_2(c_3(c_0(c_0(c_1(c_1(c_2(c_0(c_1(c_2(c_2(z0)))))))))))))))))) -> c91(2'(3(0(2(3(1(1(0(2(0(2(1(1(0(0(2(0(2(z0)))))))))))))))))), 3'(0(2(3(1(1(0(2(0(2(1(1(0(0(2(0(2(z0))))))))))))))))), 0'(2(3(1(1(0(2(0(2(1(1(0(0(2(0(2(z0)))))))))))))))), 2'(3(1(1(0(2(0(2(1(1(0(0(2(0(2(z0))))))))))))))), 3'(1(1(0(2(0(2(1(1(0(0(2(0(2(z0)))))))))))))), 1'(1(0(2(0(2(1(1(0(0(2(0(2(z0))))))))))))), 1'(0(2(0(2(1(1(0(0(2(0(2(z0)))))))))))), 0'(2(0(2(1(1(0(0(2(0(2(z0))))))))))), 2'(0(2(1(1(0(0(2(0(2(z0)))))))))), 0'(2(1(1(0(0(2(0(2(z0))))))))), 2'(1(1(0(0(2(0(2(z0)))))))), 1'(1(0(0(2(0(2(z0))))))), 1'(0(0(2(0(2(z0)))))), 0'(0(2(0(2(z0))))), 0'(2(0(2(z0)))), 2'(0(2(z0))), 0'(2(z0)), 2'(z0))
   ENCODE_0(z0) -> c8(0'(encArg(z0)))
   ENCODE_3(z0) -> c8(3'(encArg(z0)))
   ENCODE_1(z0) -> c8(1'(encArg(z0)))
   ENCODE_2(z0) -> c8(2'(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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   0'(c_0(c_3(c_2(c_1(c_3(c_1(c_3(c_3(c_0(c_1(c_2(c_0(c_0(c_0(c_2(c_0(c_2(z0)))))))))))))))))) -> c15(0'(3(0(0(2(1(3(1(2(3(2(1(0(0(0(3(2(0(z0)))))))))))))))))), 3'(0(0(2(1(3(1(2(3(2(1(0(0(0(3(2(0(z0))))))))))))))))), 0'(0(2(1(3(1(2(3(2(1(0(0(0(3(2(0(z0)))))))))))))))), 0'(2(1(3(1(2(3(2(1(0(0(0(3(2(0(z0))))))))))))))), 2'(1(3(1(2(3(2(1(0(0(0(3(2(0(z0)))))))))))))), 1'(3(1(2(3(2(1(0(0(0(3(2(0(z0))))))))))))), 3'(1(2(3(2(1(0(0(0(3(2(0(z0)))))))))))), 1'(2(3(2(1(0(0(0(3(2(0(z0))))))))))), 2'(3(2(1(0(0(0(3(2(0(z0)))))))))), 3'(2(1(0(0(0(3(2(0(z0))))))))), 2'(1(0(0(0(3(2(0(z0)))))))), 1'(0(0(0(3(2(0(z0))))))), 0'(0(0(3(2(0(z0)))))), 0'(0(3(2(0(z0))))), 0'(3(2(0(z0)))), 3'(2(0(z0))), 2'(0(z0)), 0'(z0))
   0'(c_3(c_3(c_3(c_1(c_2(c_0(c_0(c_3(c_2(c_0(c_1(c_2(c_1(c_3(c_0(c_2(c_0(z0)))))))))))))))))) -> c16(0'(2(1(0(1(0(1(0(0(3(3(2(3(0(2(3(2(3(z0)))))))))))))))))), 2'(1(0(1(0(1(0(0(3(3(2(3(0(2(3(2(3(z0))))))))))))))))), 1'(0(1(0(1(0(0(3(3(2(3(0(2(3(2(3(z0)))))))))))))))), 0'(1(0(1(0(0(3(3(2(3(0(2(3(2(3(z0))))))))))))))), 1'(0(1(0(0(3(3(2(3(0(2(3(2(3(z0)))))))))))))), 0'(1(0(0(3(3(2(3(0(2(3(2(3(z0))))))))))))), 1'(0(0(3(3(2(3(0(2(3(2(3(z0)))))))))))), 0'(0(3(3(2(3(0(2(3(2(3(z0))))))))))), 0'(3(3(2(3(0(2(3(2(3(z0)))))))))), 3'(3(2(3(0(2(3(2(3(z0))))))))), 3'(2(3(0(2(3(2(3(z0)))))))), 2'(3(0(2(3(2(3(z0))))))), 3'(0(2(3(2(3(z0)))))), 0'(2(3(2(3(z0))))), 2'(3(2(3(z0)))), 3'(2(3(z0))), 2'(3(z0)), 3'(z0))
   0'(c_0(c_1(c_2(c_0(c_0(c_3(c_3(c_2(c_1(c_3(c_3(c_3(c_1(c_1(c_1(c_1(c_2(z0)))))))))))))))))) -> c17(0'(0(3(3(1(0(2(3(2(1(1(3(1(1(1(3(2(0(z0)))))))))))))))))), 0'(3(3(1(0(2(3(2(1(1(3(1(1(1(3(2(0(z0))))))))))))))))), 3'(3(1(0(2(3(2(1(1(3(1(1(1(3(2(0(z0)))))))))))))))), 3'(1(0(2(3(2(1(1(3(1(1(1(3(2(0(z0))))))))))))))), 1'(0(2(3(2(1(1(3(1(1(1(3(2(0(z0)))))))))))))), 0'(2(3(2(1(1(3(1(1(1(3(2(0(z0))))))))))))), 2'(3(2(1(1(3(1(1(1(3(2(0(z0)))))))))))), 3'(2(1(1(3(1(1(1(3(2(0(z0))))))))))), 2'(1(1(3(1(1(1(3(2(0(z0)))))))))), 1'(1(3(1(1(1(3(2(0(z0))))))))), 1'(3(1(1(1(3(2(0(z0)))))))), 3'(1(1(1(3(2(0(z0))))))), 1'(1(1(3(2(0(z0)))))), 1'(1(3(2(0(z0))))), 1'(3(2(0(z0)))), 3'(2(0(z0))), 2'(0(z0)), 0'(z0))
   0'(c_0(c_1(c_1(c_1(c_3(c_2(c_2(c_2(c_1(c_3(c_2(c_3(c_0(c_0(c_0(c_0(c_0(z0)))))))))))))))))) -> c18(1'(0(0(3(2(0(1(3(2(0(0(2(3(1(0(2(1(0(z0)))))))))))))))))), 0'(0(3(2(0(1(3(2(0(0(2(3(1(0(2(1(0(z0))))))))))))))))), 0'(3(2(0(1(3(2(0(0(2(3(1(0(2(1(0(z0)))))))))))))))), 3'(2(0(1(3(2(0(0(2(3(1(0(2(1(0(z0))))))))))))))), 2'(0(1(3(2(0(0(2(3(1(0(2(1(0(z0)))))))))))))), 0'(1(3(2(0(0(2(3(1(0(2(1(0(z0))))))))))))), 1'(3(2(0(0(2(3(1(0(2(1(0(z0)))))))))))), 3'(2(0(0(2(3(1(0(2(1(0(z0))))))))))), 2'(0(0(2(3(1(0(2(1(0(z0)))))))))), 0'(0(2(3(1(0(2(1(0(z0))))))))), 0'(2(3(1(0(2(1(0(z0)))))))), 2'(3(1(0(2(1(0(z0))))))), 3'(1(0(2(1(0(z0)))))), 1'(0(2(1(0(z0))))), 0'(2(1(0(z0)))), 2'(1(0(z0))), 1'(0(z0)), 0'(z0))
   0'(c_3(c_0(c_3(c_2(c_2(c_0(c_3(c_3(c_1(c_0(c_0(c_3(c_0(c_3(c_0(c_1(c_0(z0)))))))))))))))))) -> c19(0'(3(0(0(3(3(3(2(1(3(2(0(0(1(3(0(0(0(z0)))))))))))))))))), 3'(0(0(3(3(3(2(1(3(2(0(0(1(3(0(0(0(z0))))))))))))))))), 0'(0(3(3(3(2(1(3(2(0(0(1(3(0(0(0(z0)))))))))))))))), 0'(3(3(3(2(1(3(2(0(0(1(3(0(0(0(z0))))))))))))))), 3'(3(3(2(1(3(2(0(0(1(3(0(0(0(z0)))))))))))))), 3'(3(2(1(3(2(0(0(1(3(0(0(0(z0))))))))))))), 3'(2(1(3(2(0(0(1(3(0(0(0(z0)))))))))))), 2'(1(3(2(0(0(1(3(0(0(0(z0))))))))))), 1'(3(2(0(0(1(3(0(0(0(z0)))))))))), 3'(2(0(0(1(3(0(0(0(z0))))))))), 2'(0(0(1(3(0(0(0(z0)))))))), 0'(0(1(3(0(0(0(z0))))))), 0'(1(3(0(0(0(z0)))))), 1'(3(0(0(0(z0))))), 3'(0(0(0(z0)))), 0'(0(0(z0))), 0'(0(z0)), 0'(z0))
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   3'(c_3(c_0(c_2(c_0(c_2(c_0(c_3(c_3(c_3(c_1(c_0(c_2(c_2(c_2(c_3(c_3(c_0(z0)))))))))))))))))) -> c81(3'(2(2(1(0(3(2(0(0(2(3(3(2(3(3(0(0(3(z0)))))))))))))))))), 2'(2(1(0(3(2(0(0(2(3(3(2(3(3(0(0(3(z0))))))))))))))))), 2'(1(0(3(2(0(0(2(3(3(2(3(3(0(0(3(z0)))))))))))))))), 1'(0(3(2(0(0(2(3(3(2(3(3(0(0(3(z0))))))))))))))), 0'(3(2(0(0(2(3(3(2(3(3(0(0(3(z0)))))))))))))), 3'(2(0(0(2(3(3(2(3(3(0(0(3(z0))))))))))))), 2'(0(0(2(3(3(2(3(3(0(0(3(z0)))))))))))), 0'(0(2(3(3(2(3(3(0(0(3(z0))))))))))), 0'(2(3(3(2(3(3(0(0(3(z0)))))))))), 2'(3(3(2(3(3(0(0(3(z0))))))))), 3'(3(2(3(3(0(0(3(z0)))))))), 3'(2(3(3(0(0(3(z0))))))), 2'(3(3(0(0(3(z0)))))), 3'(3(0(0(3(z0))))), 3'(0(0(3(z0)))), 0'(0(3(z0))), 0'(3(z0)), 3'(z0))
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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_3_1, ENCODE_1_1, ENCODE_2_1

Compound Symbols:   c2_2, c3_2, c9_18, c10_18, c11_18, c12_18, c13_18, c14_18, c15_18, c16_18, c17_18, c18_18, c19_18, c20_18, c21_18, c22_18, c23_18, c24_18, c25_18, c26_18, c27_18, c28_18, c29_18, c30_18, c31_18, c33_18, c34_18, c35_18, c36_18, c37_18, c38_18, c39_18, c40_18, c41_18, c42_18, c43_18, c44_18, c45_18, c46_18, c47_18, c48_18, c49_18, c50_18, c51_18, c52_18, c53_18, c55_18, c56_18, c57_18, c58_18, c59_18, c60_18, c61_18, c62_18, c63_18, c64_18, c65_18, c66_18, c67_18, c68_18, c69_18, c70_18, c71_18, c72_18, c73_18, c75_18, c76_18, c77_18, c78_18, c79_18, c80_18, c81_18, c82_18, c83_18, c84_18, c85_18, c86_18, c87_18, c88_18, c89_18, c90_18, c91_18, c8_1, c_2, c1_2


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(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)))

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(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_0(c_0(c_1(c_0(c_0(c_0(c_2(c_1(c_1(c_2(c_0(c_1(c_0(c_1(c_2(c_0(c_0(z0)))))))))))))))))) -> 0(1(0(1(1(0(0(2(1(1(0(0(2(0(2(0(0(0(z0))))))))))))))))))
   0(c_0(c_1(c_3(c_2(c_1(c_0(c_0(c_3(c_2(c_3(c_1(c_3(c_0(c_0(c_2(c_0(c_0(z0)))))))))))))))))) -> 0(0(2(3(2(0(1(0(2(1(0(1(0(3(0(3(0(3(z0))))))))))))))))))
   0(c_3(c_1(c_2(c_3(c_1(c_0(c_3(c_3(c_3(c_1(c_3(c_0(c_3(c_2(c_2(c_1(c_2(z0)))))))))))))))))) -> 1(0(3(1(0(3(3(3(3(2(3(2(3(2(0(2(1(1(z0))))))))))))))))))
   0(c_0(c_3(c_0(c_3(c_1(c_2(c_0(c_3(c_0(c_3(c_1(c_0(c_0(c_1(c_0(c_1(c_3(z0)))))))))))))))))) -> 0(3(0(0(3(3(0(1(0(3(0(1(0(0(2(1(1(3(z0))))))))))))))))))
   0(c_2(c_3(c_3(c_1(c_0(c_3(c_0(c_0(c_0(c_2(c_0(c_1(c_3(c_1(c_3(c_3(c_0(z0)))))))))))))))))) -> 0(3(0(3(3(2(3(2(3(0(0(0(0(1(1(1(3(0(z0))))))))))))))))))
   0(c_0(c_1(c_3(c_1(c_0(c_3(c_1(c_1(c_3(c_1(c_2(c_3(c_1(c_2(c_2(c_1(c_1(z0)))))))))))))))))) -> 0(3(0(2(1(0(3(2(1(1(2(1(3(1(3(1(1(1(z0))))))))))))))))))
   0(c_0(c_3(c_2(c_1(c_3(c_1(c_3(c_3(c_0(c_1(c_2(c_0(c_0(c_0(c_2(c_0(c_2(z0)))))))))))))))))) -> 0(3(0(0(2(1(3(1(2(3(2(1(0(0(0(3(2(0(z0))))))))))))))))))
   0(c_3(c_3(c_3(c_1(c_2(c_0(c_0(c_3(c_2(c_0(c_1(c_2(c_1(c_3(c_0(c_2(c_0(z0)))))))))))))))))) -> 0(2(1(0(1(0(1(0(0(3(3(2(3(0(2(3(2(3(z0))))))))))))))))))
   0(c_0(c_1(c_2(c_0(c_0(c_3(c_3(c_2(c_1(c_3(c_3(c_3(c_1(c_1(c_1(c_1(c_2(z0)))))))))))))))))) -> 0(0(3(3(1(0(2(3(2(1(1(3(1(1(1(3(2(0(z0))))))))))))))))))
   0(c_0(c_1(c_1(c_1(c_3(c_2(c_2(c_2(c_1(c_3(c_2(c_3(c_0(c_0(c_0(c_0(c_0(z0)))))))))))))))))) -> 1(0(0(3(2(0(1(3(2(0(0(2(3(1(0(2(1(0(z0))))))))))))))))))
   0(c_3(c_0(c_3(c_2(c_2(c_0(c_3(c_3(c_1(c_0(c_0(c_3(c_0(c_3(c_0(c_1(c_0(z0)))))))))))))))))) -> 0(3(0(0(3(3(3(2(1(3(2(0(0(1(3(0(0(0(z0))))))))))))))))))
   0(c_0(c_0(c_3(c_0(c_3(c_0(c_1(c_2(c_1(c_0(c_0(c_0(c_1(c_2(c_3(c_3(c_3(z0)))))))))))))))))) -> 0(0(0(2(3(0(0(0(0(1(1(3(1(0(2(3(3(3(z0))))))))))))))))))
   0(c_0(c_3(c_0(c_3(c_3(c_3(c_1(c_1(c_1(c_3(c_1(c_1(c_2(c_1(c_2(c_3(c_0(z0)))))))))))))))))) -> 0(3(3(1(2(1(3(0(3(3(2(0(1(1(0(1(1(3(z0))))))))))))))))))
   0(c_0(c_1(c_0(c_1(c_1(c_1(c_0(c_2(c_2(c_3(c_3(c_1(c_3(c_0(c_2(c_1(c_0(z0)))))))))))))))))) -> 0(0(1(1(1(3(3(3(2(1(1(0(0(1(2(0(2(0(z0))))))))))))))))))
   0(c_0(c_0(c_0(c_3(c_0(c_3(c_1(c_3(c_1(c_2(c_2(c_1(c_3(c_1(c_0(c_0(c_2(z0)))))))))))))))))) -> 0(0(3(3(2(1(3(0(0(1(1(2(0(0(1(0(2(3(z0))))))))))))))))))
   0(c_0(c_1(c_2(c_0(c_1(c_0(c_1(c_1(c_0(c_1(c_2(c_2(c_3(c_3(c_1(c_2(c_2(z0)))))))))))))))))) -> 0(2(0(1(2(3(1(1(0(0(2(3(2(1(1(1(0(2(z0))))))))))))))))))
   0(c_2(c_2(c_3(c_2(c_3(c_2(c_2(c_2(c_2(c_2(c_3(c_3(c_0(c_0(c_0(c_0(c_3(z0)))))))))))))))))) -> 0(2(0(3(2(2(0(3(3(3(2(2(2(0(2(0(2(3(z0))))))))))))))))))
   0(c_0(c_2(c_3(c_3(c_3(c_0(c_0(c_1(c_1(c_2(c_2(c_0(c_3(c_2(c_3(c_3(c_0(z0)))))))))))))))))) -> 0(3(0(2(3(0(1(3(3(2(0(0(3(3(2(1(2(0(z0))))))))))))))))))
   0(c_1(c_3(c_0(c_1(c_0(c_1(c_1(c_2(c_2(c_2(c_3(c_3(c_0(c_3(c_0(c_0(c_0(z0)))))))))))))))))) -> 0(2(1(0(0(3(2(0(0(3(3(3(1(1(0(1(2(0(z0))))))))))))))))))
   0(c_1(c_2(c_3(c_0(c_2(c_1(c_2(c_3(c_0(c_0(c_3(c_0(c_1(c_0(c_1(c_3(c_0(z0)))))))))))))))))) -> 0(2(0(0(0(2(3(3(1(1(3(2(0(3(0(0(1(1(z0))))))))))))))))))
   0(c_0(c_3(c_0(c_2(c_0(c_1(c_1(c_3(c_1(c_0(c_2(c_0(c_0(c_0(c_2(c_1(c_1(z0)))))))))))))))))) -> 0(3(1(0(3(2(0(1(0(1(0(0(2(0(1(2(0(1(z0))))))))))))))))))
   0(c_0(c_3(c_3(c_1(c_2(c_3(c_0(c_2(c_3(c_3(c_3(c_0(c_0(c_3(c_2(c_2(c_3(z0)))))))))))))))))) -> 3(0(3(3(2(0(2(3(2(0(3(1(3(3(2(0(0(3(z0))))))))))))))))))
   0(c_0(c_2(c_2(c_1(c_1(c_3(c_0(c_2(c_2(c_2(c_2(c_0(c_3(c_3(c_0(c_1(c_0(z0)))))))))))))))))) -> 0(2(2(1(1(0(2(3(0(0(2(0(2(1(3(2(3(0(z0))))))))))))))))))
   1(z0) -> c_1(z0)
   1(c_3(c_0(c_3(c_3(c_0(c_2(c_3(c_1(c_0(c_0(c_0(c_3(c_2(c_1(c_2(c_3(c_3(z0)))))))))))))))))) -> 1(3(0(2(0(0(3(1(0(2(1(0(2(3(3(3(3(3(z0))))))))))))))))))
   1(c_2(c_1(c_2(c_2(c_0(c_1(c_3(c_0(c_2(c_3(c_2(c_2(c_3(c_2(c_3(c_3(c_0(z0)))))))))))))))))) -> 1(2(0(3(0(2(2(1(3(3(2(2(2(3(3(2(1(0(z0))))))))))))))))))
   1(c_2(c_0(c_0(c_1(c_1(c_0(c_1(c_2(c_0(c_1(c_1(c_2(c_0(c_0(c_3(c_3(c_1(z0)))))))))))))))))) -> 1(1(1(0(1(0(1(0(1(0(0(2(0(1(3(3(2(2(z0))))))))))))))))))
   1(c_0(c_0(c_0(c_3(c_0(c_0(c_1(c_3(c_1(c_2(c_1(c_2(c_2(c_1(c_2(c_3(c_1(z0)))))))))))))))))) -> 1(3(0(0(0(3(2(1(2(1(0(0(1(3(2(2(1(1(z0))))))))))))))))))
   1(c_0(c_2(c_3(c_1(c_3(c_2(c_2(c_3(c_1(c_2(c_0(c_1(c_0(c_3(c_0(c_0(c_0(z0)))))))))))))))))) -> 1(0(3(3(2(1(3(2(3(0(1(2(0(0(2(1(0(0(z0))))))))))))))))))
   1(c_3(c_1(c_2(c_2(c_2(c_0(c_3(c_3(c_2(c_1(c_0(c_3(c_3(c_0(c_0(c_3(c_0(z0)))))))))))))))))) -> 1(3(2(3(0(2(3(3(3(0(0(2(0(1(3(2(1(0(z0))))))))))))))))))
   1(c_2(c_1(c_3(c_1(c_1(c_3(c_0(c_3(c_1(c_1(c_1(c_1(c_1(c_3(c_0(c_1(c_3(z0)))))))))))))))))) -> 1(0(1(1(0(3(1(3(3(1(1(3(2(1(1(1(1(3(z0))))))))))))))))))
   1(c_3(c_1(c_1(c_1(c_2(c_0(c_2(c_1(c_2(c_0(c_3(c_3(c_1(c_2(c_2(c_3(c_1(z0)))))))))))))))))) -> 1(2(1(2(1(2(2(1(1(1(1(0(3(3(3(0(3(2(z0))))))))))))))))))
   1(c_3(c_0(c_0(c_1(c_2(c_3(c_3(c_2(c_3(c_1(c_1(c_3(c_1(c_0(c_3(c_1(c_2(z0)))))))))))))))))) -> 1(1(2(3(3(3(3(1(1(0(2(0(1(3(3(2(0(1(z0))))))))))))))))))
   1(c_1(c_1(c_2(c_1(c_2(c_3(c_0(c_0(c_2(c_3(c_0(c_3(c_1(c_3(c_2(c_0(c_2(z0)))))))))))))))))) -> 1(1(1(3(0(2(0(2(0(2(3(2(0(3(3(1(1(2(z0))))))))))))))))))
   1(c_0(c_3(c_3(c_3(c_0(c_2(c_3(c_0(c_2(c_1(c_1(c_0(c_3(c_3(c_1(c_3(c_1(z0)))))))))))))))))) -> 1(3(3(1(1(1(0(3(0(0(3(3(3(2(3(2(0(1(z0))))))))))))))))))
   1(c_2(c_2(c_3(c_2(c_1(c_3(c_0(c_3(c_1(c_3(c_3(c_1(c_3(c_0(c_3(c_3(c_3(z0)))))))))))))))))) -> 1(3(3(1(1(2(0(3(3(2(3(1(3(2(0(3(3(3(z0))))))))))))))))))
   1(c_2(c_1(c_2(c_3(c_0(c_3(c_0(c_2(c_2(c_0(c_2(c_3(c_2(c_0(c_1(c_1(c_2(z0)))))))))))))))))) -> 1(0(1(3(2(2(0(2(1(2(1(3(2(0(2(3(0(2(z0))))))))))))))))))
   1(c_2(c_2(c_3(c_3(c_0(c_1(c_2(c_1(c_0(c_3(c_1(c_2(c_3(c_1(c_1(c_2(c_2(z0)))))))))))))))))) -> 1(3(3(2(3(3(1(2(2(0(1(2(2(2(1(1(1(0(z0))))))))))))))))))
   1(c_3(c_3(c_0(c_3(c_1(c_0(c_1(c_3(c_1(c_2(c_2(c_0(c_3(c_1(c_1(c_0(c_0(z0)))))))))))))))))) -> 1(3(2(0(3(0(0(0(3(2(1(3(1(1(1(1(3(0(z0))))))))))))))))))
   1(c_1(c_2(c_1(c_3(c_0(c_2(c_1(c_0(c_0(c_3(c_0(c_1(c_2(c_2(c_0(c_3(c_3(z0)))))))))))))))))) -> 1(0(3(2(1(0(3(3(1(0(2(2(0(1(0(2(1(3(z0))))))))))))))))))
   1(c_2(c_1(c_0(c_1(c_3(c_0(c_3(c_3(c_1(c_3(c_1(c_2(c_2(c_3(c_0(c_2(c_0(z0)))))))))))))))))) -> 1(1(3(3(2(0(0(3(2(1(2(3(3(2(0(1(1(0(z0))))))))))))))))))
   1(c_0(c_3(c_0(c_2(c_3(c_0(c_3(c_1(c_3(c_1(c_1(c_2(c_0(c_3(c_0(c_3(c_0(z0)))))))))))))))))) -> 1(0(1(0(2(3(0(3(0(3(0(3(3(1(0(2(1(3(z0))))))))))))))))))
   1(c_2(c_3(c_1(c_3(c_0(c_1(c_1(c_3(c_1(c_3(c_1(c_2(c_0(c_3(c_2(c_3(c_0(z0)))))))))))))))))) -> 1(1(3(2(1(3(3(0(2(0(3(3(1(1(3(2(0(1(z0))))))))))))))))))
   1(c_1(c_2(c_3(c_3(c_1(c_0(c_0(c_3(c_1(c_3(c_3(c_3(c_0(c_0(c_1(c_3(c_1(z0)))))))))))))))))) -> 1(3(0(2(3(3(3(1(1(0(3(3(3(0(1(1(0(1(z0))))))))))))))))))
   1(c_3(c_1(c_2(c_0(c_1(c_2(c_0(c_0(c_1(c_0(c_0(c_2(c_3(c_0(c_1(c_1(c_2(z0)))))))))))))))))) -> 1(3(2(2(0(2(1(0(1(0(0(1(2(0(1(1(3(0(z0))))))))))))))))))
   2(z0) -> c_2(z0)
   2(c_3(c_1(c_1(c_2(c_0(c_2(c_0(c_3(c_2(c_2(c_3(c_1(c_2(c_2(c_3(c_0(c_0(z0)))))))))))))))))) -> 2(2(2(2(1(3(0(2(0(3(2(1(0(1(0(3(2(3(z0))))))))))))))))))
   2(c_2(c_0(c_2(c_3(c_3(c_2(c_2(c_0(c_3(c_1(c_0(c_0(c_2(c_2(c_3(c_0(c_0(z0)))))))))))))))))) -> 2(2(0(0(3(3(2(3(2(3(2(0(2(0(0(0(1(2(z0))))))))))))))))))
   2(c_2(c_3(c_3(c_1(c_2(c_3(c_2(c_1(c_2(c_1(c_3(c_2(c_2(c_1(c_1(c_2(c_1(z0)))))))))))))))))) -> 2(1(1(1(2(2(3(2(3(3(3(2(1(2(1(2(2(1(z0))))))))))))))))))
   2(c_3(c_0(c_0(c_3(c_0(c_0(c_3(c_0(c_2(c_2(c_2(c_2(c_3(c_2(c_0(c_3(c_0(z0)))))))))))))))))) -> 2(2(3(0(2(0(0(2(0(3(3(2(3(3(2(0(0(0(z0))))))))))))))))))
   2(c_0(c_1(c_1(c_2(c_1(c_1(c_2(c_2(c_1(c_1(c_2(c_1(c_2(c_2(c_0(c_0(c_2(z0)))))))))))))))))) -> 2(0(2(1(2(1(0(2(2(2(1(2(1(0(2(1(1(1(z0))))))))))))))))))
   2(c_2(c_1(c_1(c_3(c_0(c_0(c_3(c_2(c_3(c_1(c_2(c_1(c_0(c_0(c_2(c_1(c_2(z0)))))))))))))))))) -> 2(1(0(0(2(1(0(3(3(2(2(1(1(1(0(3(2(2(z0))))))))))))))))))
   2(c_2(c_3(c_3(c_3(c_3(c_3(c_1(c_2(c_0(c_1(c_1(c_1(c_2(c_3(c_1(c_2(c_1(z0)))))))))))))))))) -> 1(3(3(3(2(0(1(2(1(2(1(3(2(3(3(2(1(1(z0))))))))))))))))))
   2(c_3(c_2(c_3(c_0(c_0(c_0(c_3(c_3(c_2(c_2(c_2(c_2(c_3(c_2(c_2(c_0(c_2(z0)))))))))))))))))) -> 2(3(3(2(3(2(0(2(2(0(0(3(2(0(2(2(3(2(z0))))))))))))))))))
   2(c_2(c_0(c_1(c_2(c_3(c_3(c_0(c_3(c_2(c_2(c_2(c_0(c_3(c_3(c_1(c_1(c_3(z0)))))))))))))))))) -> 2(1(3(2(0(3(3(0(2(1(1(3(2(0(3(2(2(3(z0))))))))))))))))))
   2(c_0(c_0(c_2(c_2(c_0(c_3(c_0(c_1(c_0(c_2(c_3(c_3(c_1(c_2(c_1(c_2(c_2(z0)))))))))))))))))) -> 2(0(1(2(2(3(0(3(3(2(0(1(2(2(1(0(2(0(z0))))))))))))))))))
   2(c_3(c_1(c_1(c_3(c_1(c_0(c_2(c_3(c_0(c_0(c_0(c_2(c_3(c_3(c_2(c_3(c_1(z0)))))))))))))))))) -> 2(3(3(2(0(2(1(0(3(3(0(3(1(0(1(2(3(1(z0))))))))))))))))))
   2(c_2(c_3(c_1(c_1(c_2(c_2(c_0(c_1(c_0(c_1(c_0(c_1(c_0(c_1(c_3(c_1(c_0(z0)))))))))))))))))) -> 2(0(1(0(1(1(0(3(2(1(1(0(2(2(3(1(1(0(z0))))))))))))))))))
   2(c_2(c_3(c_1(c_2(c_2(c_2(c_1(c_2(c_0(c_1(c_3(c_2(c_2(c_3(c_3(c_0(c_0(z0)))))))))))))))))) -> 2(1(2(2(3(3(2(2(0(1(0(2(2(3(1(0(2(3(z0))))))))))))))))))
   2(c_0(c_0(c_3(c_0(c_3(c_1(c_1(c_2(c_2(c_2(c_2(c_3(c_2(c_0(c_0(c_3(c_0(z0)))))))))))))))))) -> 2(0(3(0(1(3(2(2(3(0(1(3(2(2(0(2(0(0(z0))))))))))))))))))
   2(c_0(c_0(c_0(c_0(c_3(c_1(c_2(c_2(c_0(c_3(c_0(c_2(c_0(c_3(c_1(c_3(c_2(z0)))))))))))))))))) -> 2(0(1(0(2(3(2(0(3(3(2(3(0(2(1(0(0(0(z0))))))))))))))))))
   2(c_3(c_0(c_0(c_0(c_2(c_0(c_0(c_1(c_3(c_3(c_1(c_2(c_2(c_2(c_2(c_2(c_2(z0)))))))))))))))))) -> 2(1(2(2(3(0(0(3(0(3(2(0(0(2(2(1(2(2(z0))))))))))))))))))
   2(c_0(c_0(c_3(c_1(c_2(c_1(c_3(c_0(c_2(c_2(c_2(c_1(c_2(c_2(c_2(c_3(c_1(z0)))))))))))))))))) -> 2(1(0(3(2(2(1(2(3(2(2(0(3(2(2(0(1(1(z0))))))))))))))))))
   2(c_1(c_2(c_0(c_2(c_1(c_3(c_0(c_1(c_2(c_1(c_0(c_2(c_1(c_3(c_1(c_2(c_0(z0)))))))))))))))))) -> 2(1(2(3(1(0(1(0(0(2(1(1(3(2(0(2(1(2(z0))))))))))))))))))
   2(c_3(c_0(c_3(c_1(c_1(c_2(c_3(c_1(c_3(c_2(c_0(c_1(c_2(c_2(c_1(c_3(c_0(z0)))))))))))))))))) -> 2(1(1(0(1(2(1(3(3(3(2(2(0(2(1(3(3(0(z0))))))))))))))))))
   3(z0) -> c_3(z0)
   3(c_2(c_1(c_1(c_1(c_3(c_1(c_1(c_2(c_2(c_1(c_2(c_1(c_1(c_2(c_3(c_0(c_1(z0)))))))))))))))))) -> 3(2(1(1(1(1(1(0(3(2(2(2(1(2(3(1(1(1(z0))))))))))))))))))
   3(c_1(c_2(c_1(c_0(c_3(c_1(c_1(c_2(c_2(c_3(c_0(c_2(c_2(c_3(c_0(c_2(c_0(z0)))))))))))))))))) -> 3(1(1(1(2(2(2(0(3(2(0(3(2(3(2(0(0(1(z0))))))))))))))))))
   3(c_3(c_1(c_1(c_3(c_1(c_0(c_1(c_3(c_1(c_2(c_3(c_3(c_3(c_1(c_1(c_3(c_0(z0)))))))))))))))))) -> 3(3(1(0(3(3(1(3(3(3(3(1(1(1(1(2(0(1(z0))))))))))))))))))
   3(c_1(c_3(c_0(c_3(c_0(c_3(c_2(c_2(c_3(c_0(c_2(c_3(c_1(c_2(c_1(c_0(c_2(z0)))))))))))))))))) -> 3(0(2(2(3(2(0(1(3(1(0(2(1(3(3(2(0(3(z0))))))))))))))))))
   3(c_0(c_2(c_0(c_3(c_3(c_0(c_0(c_2(c_2(c_0(c_1(c_0(c_3(c_3(c_1(c_3(c_1(z0)))))))))))))))))) -> 3(0(2(1(0(1(3(3(2(0(0(3(0(3(2(3(1(0(z0))))))))))))))))))
   3(c_3(c_0(c_2(c_1(c_2(c_2(c_0(c_0(c_1(c_3(c_2(c_0(c_0(c_1(c_2(c_3(c_0(z0)))))))))))))))))) -> 0(0(1(1(0(2(2(3(3(2(1(0(0(2(3(3(2(0(z0))))))))))))))))))
   3(c_3(c_0(c_2(c_0(c_2(c_0(c_3(c_3(c_3(c_1(c_0(c_2(c_2(c_2(c_3(c_3(c_0(z0)))))))))))))))))) -> 3(2(2(1(0(3(2(0(0(2(3(3(2(3(3(0(0(3(z0))))))))))))))))))
   3(c_0(c_1(c_0(c_3(c_1(c_2(c_2(c_0(c_1(c_1(c_1(c_3(c_3(c_0(c_2(c_3(c_0(z0)))))))))))))))))) -> 0(3(3(2(1(0(0(2(3(3(1(1(0(1(1(3(2(0(z0))))))))))))))))))
   3(c_1(c_2(c_0(c_1(c_2(c_0(c_3(c_1(c_2(c_1(c_0(c_0(c_2(c_0(c_3(c_0(c_2(z0)))))))))))))))))) -> 3(1(0(2(2(1(3(0(0(2(0(3(2(1(1(0(2(0(z0))))))))))))))))))
   3(c_1(c_3(c_1(c_1(c_3(c_0(c_2(c_0(c_0(c_3(c_0(c_2(c_3(c_1(c_2(c_2(c_2(z0)))))))))))))))))) -> 3(1(3(1(0(3(3(2(1(2(1(2(0(2(3(2(0(0(z0))))))))))))))))))
   3(c_0(c_1(c_2(c_2(c_3(c_0(c_1(c_2(c_1(c_3(c_1(c_3(c_3(c_3(c_1(c_1(c_3(z0)))))))))))))))))) -> 0(2(1(3(3(3(2(1(1(0(1(3(3(2(1(1(3(3(z0))))))))))))))))))
   3(c_0(c_2(c_0(c_3(c_1(c_1(c_3(c_2(c_1(c_3(c_0(c_2(c_0(c_2(c_1(c_1(c_3(z0)))))))))))))))))) -> 1(3(3(2(0(0(0(1(3(3(2(0(1(1(2(1(2(3(z0))))))))))))))))))
   3(c_3(c_0(c_3(c_0(c_0(c_2(c_3(c_0(c_2(c_3(c_3(c_1(c_2(c_2(c_2(c_2(c_0(z0)))))))))))))))))) -> 3(3(0(0(3(2(3(2(0(0(0(2(3(2(1(2(3(2(z0))))))))))))))))))
   3(c_3(c_3(c_3(c_3(c_0(c_3(c_1(c_1(c_3(c_2(c_1(c_1(c_3(c_2(c_2(c_0(c_2(z0)))))))))))))))))) -> 3(3(1(0(1(2(3(2(0(1(1(3(3(3(3(2(3(2(z0))))))))))))))))))
   3(c_2(c_2(c_3(c_0(c_0(c_3(c_0(c_0(c_2(c_3(c_0(c_1(c_1(c_1(c_1(c_3(c_0(z0)))))))))))))))))) -> 3(2(0(3(2(3(0(1(0(1(1(0(3(1(3(0(2(0(z0))))))))))))))))))
   3(c_1(c_3(c_1(c_1(c_3(c_3(c_3(c_2(c_1(c_2(c_3(c_0(c_2(c_1(c_2(c_3(c_0(z0)))))))))))))))))) -> 3(3(3(2(0(1(3(2(0(1(3(3(1(2(1(1(2(3(z0))))))))))))))))))
   3(c_0(c_2(c_2(c_0(c_0(c_1(c_2(c_3(c_0(c_0(c_1(c_1(c_2(c_0(c_1(c_2(c_2(z0)))))))))))))))))) -> 2(3(0(2(3(1(1(0(2(0(2(1(1(0(0(2(0(2(z0))))))))))))))))))
Tuples:
   ENCARG(cons_3(z0)) -> c3(3'(encArg(z0)), ENCARG(z0))
   0'(c_0(c_0(c_1(c_0(c_0(c_0(c_2(c_1(c_1(c_2(c_0(c_1(c_0(c_1(c_2(c_0(c_0(z0)))))))))))))))))) -> c9(0'(1(0(1(1(0(0(2(1(1(0(0(2(0(2(0(0(0(z0)))))))))))))))))), 1'(0(1(1(0(0(2(1(1(0(0(2(0(2(0(0(0(z0))))))))))))))))), 0'(1(1(0(0(2(1(1(0(0(2(0(2(0(0(0(z0)))))))))))))))), 1'(1(0(0(2(1(1(0(0(2(0(2(0(0(0(z0))))))))))))))), 1'(0(0(2(1(1(0(0(2(0(2(0(0(0(z0)))))))))))))), 0'(0(2(1(1(0(0(2(0(2(0(0(0(z0))))))))))))), 0'(2(1(1(0(0(2(0(2(0(0(0(z0)))))))))))), 2'(1(1(0(0(2(0(2(0(0(0(z0))))))))))), 1'(1(0(0(2(0(2(0(0(0(z0)))))))))), 1'(0(0(2(0(2(0(0(0(z0))))))))), 0'(0(2(0(2(0(0(0(z0)))))))), 0'(2(0(2(0(0(0(z0))))))), 2'(0(2(0(0(0(z0)))))), 0'(2(0(0(0(z0))))), 2'(0(0(0(z0)))), 0'(0(0(z0))), 0'(0(z0)), 0'(z0))
   0'(c_0(c_1(c_3(c_2(c_1(c_0(c_0(c_3(c_2(c_3(c_1(c_3(c_0(c_0(c_2(c_0(c_0(z0)))))))))))))))))) -> c10(0'(0(2(3(2(0(1(0(2(1(0(1(0(3(0(3(0(3(z0)))))))))))))))))), 0'(2(3(2(0(1(0(2(1(0(1(0(3(0(3(0(3(z0))))))))))))))))), 2'(3(2(0(1(0(2(1(0(1(0(3(0(3(0(3(z0)))))))))))))))), 3'(2(0(1(0(2(1(0(1(0(3(0(3(0(3(z0))))))))))))))), 2'(0(1(0(2(1(0(1(0(3(0(3(0(3(z0)))))))))))))), 0'(1(0(2(1(0(1(0(3(0(3(0(3(z0))))))))))))), 1'(0(2(1(0(1(0(3(0(3(0(3(z0)))))))))))), 0'(2(1(0(1(0(3(0(3(0(3(z0))))))))))), 2'(1(0(1(0(3(0(3(0(3(z0)))))))))), 1'(0(1(0(3(0(3(0(3(z0))))))))), 0'(1(0(3(0(3(0(3(z0)))))))), 1'(0(3(0(3(0(3(z0))))))), 0'(3(0(3(0(3(z0)))))), 3'(0(3(0(3(z0))))), 0'(3(0(3(z0)))), 3'(0(3(z0))), 0'(3(z0)), 3'(z0))
   0'(c_3(c_1(c_2(c_3(c_1(c_0(c_3(c_3(c_3(c_1(c_3(c_0(c_3(c_2(c_2(c_1(c_2(z0)))))))))))))))))) -> c11(1'(0(3(1(0(3(3(3(3(2(3(2(3(2(0(2(1(1(z0)))))))))))))))))), 0'(3(1(0(3(3(3(3(2(3(2(3(2(0(2(1(1(z0))))))))))))))))), 3'(1(0(3(3(3(3(2(3(2(3(2(0(2(1(1(z0)))))))))))))))), 1'(0(3(3(3(3(2(3(2(3(2(0(2(1(1(z0))))))))))))))), 0'(3(3(3(3(2(3(2(3(2(0(2(1(1(z0)))))))))))))), 3'(3(3(3(2(3(2(3(2(0(2(1(1(z0))))))))))))), 3'(3(3(2(3(2(3(2(0(2(1(1(z0)))))))))))), 3'(3(2(3(2(3(2(0(2(1(1(z0))))))))))), 3'(2(3(2(3(2(0(2(1(1(z0)))))))))), 2'(3(2(3(2(0(2(1(1(z0))))))))), 3'(2(3(2(0(2(1(1(z0)))))))), 2'(3(2(0(2(1(1(z0))))))), 3'(2(0(2(1(1(z0)))))), 2'(0(2(1(1(z0))))), 0'(2(1(1(z0)))), 2'(1(1(z0))), 1'(1(z0)), 1'(z0))
   0'(c_0(c_3(c_0(c_3(c_1(c_2(c_0(c_3(c_0(c_3(c_1(c_0(c_0(c_1(c_0(c_1(c_3(z0)))))))))))))))))) -> c12(0'(3(0(0(3(3(0(1(0(3(0(1(0(0(2(1(1(3(z0)))))))))))))))))), 3'(0(0(3(3(0(1(0(3(0(1(0(0(2(1(1(3(z0))))))))))))))))), 0'(0(3(3(0(1(0(3(0(1(0(0(2(1(1(3(z0)))))))))))))))), 0'(3(3(0(1(0(3(0(1(0(0(2(1(1(3(z0))))))))))))))), 3'(3(0(1(0(3(0(1(0(0(2(1(1(3(z0)))))))))))))), 3'(0(1(0(3(0(1(0(0(2(1(1(3(z0))))))))))))), 0'(1(0(3(0(1(0(0(2(1(1(3(z0)))))))))))), 1'(0(3(0(1(0(0(2(1(1(3(z0))))))))))), 0'(3(0(1(0(0(2(1(1(3(z0)))))))))), 3'(0(1(0(0(2(1(1(3(z0))))))))), 0'(1(0(0(2(1(1(3(z0)))))))), 1'(0(0(2(1(1(3(z0))))))), 0'(0(2(1(1(3(z0)))))), 0'(2(1(1(3(z0))))), 2'(1(1(3(z0)))), 1'(1(3(z0))), 1'(3(z0)), 3'(z0))
   0'(c_2(c_3(c_3(c_1(c_0(c_3(c_0(c_0(c_0(c_2(c_0(c_1(c_3(c_1(c_3(c_3(c_0(z0)))))))))))))))))) -> c13(0'(3(0(3(3(2(3(2(3(0(0(0(0(1(1(1(3(0(z0)))))))))))))))))), 3'(0(3(3(2(3(2(3(0(0(0(0(1(1(1(3(0(z0))))))))))))))))), 0'(3(3(2(3(2(3(0(0(0(0(1(1(1(3(0(z0)))))))))))))))), 3'(3(2(3(2(3(0(0(0(0(1(1(1(3(0(z0))))))))))))))), 3'(2(3(2(3(0(0(0(0(1(1(1(3(0(z0)))))))))))))), 2'(3(2(3(0(0(0(0(1(1(1(3(0(z0))))))))))))), 3'(2(3(0(0(0(0(1(1(1(3(0(z0)))))))))))), 2'(3(0(0(0(0(1(1(1(3(0(z0))))))))))), 3'(0(0(0(0(1(1(1(3(0(z0)))))))))), 0'(0(0(0(1(1(1(3(0(z0))))))))), 0'(0(0(1(1(1(3(0(z0)))))))), 0'(0(1(1(1(3(0(z0))))))), 0'(1(1(1(3(0(z0)))))), 1'(1(1(3(0(z0))))), 1'(1(3(0(z0)))), 1'(3(0(z0))), 3'(0(z0)), 0'(z0))
   0'(c_0(c_1(c_3(c_1(c_0(c_3(c_1(c_1(c_3(c_1(c_2(c_3(c_1(c_2(c_2(c_1(c_1(z0)))))))))))))))))) -> c14(0'(3(0(2(1(0(3(2(1(1(2(1(3(1(3(1(1(1(z0)))))))))))))))))), 3'(0(2(1(0(3(2(1(1(2(1(3(1(3(1(1(1(z0))))))))))))))))), 0'(2(1(0(3(2(1(1(2(1(3(1(3(1(1(1(z0)))))))))))))))), 2'(1(0(3(2(1(1(2(1(3(1(3(1(1(1(z0))))))))))))))), 1'(0(3(2(1(1(2(1(3(1(3(1(1(1(z0)))))))))))))), 0'(3(2(1(1(2(1(3(1(3(1(1(1(z0))))))))))))), 3'(2(1(1(2(1(3(1(3(1(1(1(z0)))))))))))), 2'(1(1(2(1(3(1(3(1(1(1(z0))))))))))), 1'(1(2(1(3(1(3(1(1(1(z0)))))))))), 1'(2(1(3(1(3(1(1(1(z0))))))))), 2'(1(3(1(3(1(1(1(z0)))))))), 1'(3(1(3(1(1(1(z0))))))), 3'(1(3(1(1(1(z0)))))), 1'(3(1(1(1(z0))))), 3'(1(1(1(z0)))), 1'(1(1(z0))), 1'(1(z0)), 1'(z0))
   0'(c_0(c_3(c_2(c_1(c_3(c_1(c_3(c_3(c_0(c_1(c_2(c_0(c_0(c_0(c_2(c_0(c_2(z0)))))))))))))))))) -> c15(0'(3(0(0(2(1(3(1(2(3(2(1(0(0(0(3(2(0(z0)))))))))))))))))), 3'(0(0(2(1(3(1(2(3(2(1(0(0(0(3(2(0(z0))))))))))))))))), 0'(0(2(1(3(1(2(3(2(1(0(0(0(3(2(0(z0)))))))))))))))), 0'(2(1(3(1(2(3(2(1(0(0(0(3(2(0(z0))))))))))))))), 2'(1(3(1(2(3(2(1(0(0(0(3(2(0(z0)))))))))))))), 1'(3(1(2(3(2(1(0(0(0(3(2(0(z0))))))))))))), 3'(1(2(3(2(1(0(0(0(3(2(0(z0)))))))))))), 1'(2(3(2(1(0(0(0(3(2(0(z0))))))))))), 2'(3(2(1(0(0(0(3(2(0(z0)))))))))), 3'(2(1(0(0(0(3(2(0(z0))))))))), 2'(1(0(0(0(3(2(0(z0)))))))), 1'(0(0(0(3(2(0(z0))))))), 0'(0(0(3(2(0(z0)))))), 0'(0(3(2(0(z0))))), 0'(3(2(0(z0)))), 3'(2(0(z0))), 2'(0(z0)), 0'(z0))
   0'(c_3(c_3(c_3(c_1(c_2(c_0(c_0(c_3(c_2(c_0(c_1(c_2(c_1(c_3(c_0(c_2(c_0(z0)))))))))))))))))) -> c16(0'(2(1(0(1(0(1(0(0(3(3(2(3(0(2(3(2(3(z0)))))))))))))))))), 2'(1(0(1(0(1(0(0(3(3(2(3(0(2(3(2(3(z0))))))))))))))))), 1'(0(1(0(1(0(0(3(3(2(3(0(2(3(2(3(z0)))))))))))))))), 0'(1(0(1(0(0(3(3(2(3(0(2(3(2(3(z0))))))))))))))), 1'(0(1(0(0(3(3(2(3(0(2(3(2(3(z0)))))))))))))), 0'(1(0(0(3(3(2(3(0(2(3(2(3(z0))))))))))))), 1'(0(0(3(3(2(3(0(2(3(2(3(z0)))))))))))), 0'(0(3(3(2(3(0(2(3(2(3(z0))))))))))), 0'(3(3(2(3(0(2(3(2(3(z0)))))))))), 3'(3(2(3(0(2(3(2(3(z0))))))))), 3'(2(3(0(2(3(2(3(z0)))))))), 2'(3(0(2(3(2(3(z0))))))), 3'(0(2(3(2(3(z0)))))), 0'(2(3(2(3(z0))))), 2'(3(2(3(z0)))), 3'(2(3(z0))), 2'(3(z0)), 3'(z0))
   0'(c_0(c_1(c_2(c_0(c_0(c_3(c_3(c_2(c_1(c_3(c_3(c_3(c_1(c_1(c_1(c_1(c_2(z0)))))))))))))))))) -> c17(0'(0(3(3(1(0(2(3(2(1(1(3(1(1(1(3(2(0(z0)))))))))))))))))), 0'(3(3(1(0(2(3(2(1(1(3(1(1(1(3(2(0(z0))))))))))))))))), 3'(3(1(0(2(3(2(1(1(3(1(1(1(3(2(0(z0)))))))))))))))), 3'(1(0(2(3(2(1(1(3(1(1(1(3(2(0(z0))))))))))))))), 1'(0(2(3(2(1(1(3(1(1(1(3(2(0(z0)))))))))))))), 0'(2(3(2(1(1(3(1(1(1(3(2(0(z0))))))))))))), 2'(3(2(1(1(3(1(1(1(3(2(0(z0)))))))))))), 3'(2(1(1(3(1(1(1(3(2(0(z0))))))))))), 2'(1(1(3(1(1(1(3(2(0(z0)))))))))), 1'(1(3(1(1(1(3(2(0(z0))))))))), 1'(3(1(1(1(3(2(0(z0)))))))), 3'(1(1(1(3(2(0(z0))))))), 1'(1(1(3(2(0(z0)))))), 1'(1(3(2(0(z0))))), 1'(3(2(0(z0)))), 3'(2(0(z0))), 2'(0(z0)), 0'(z0))
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   3'(c_1(c_3(c_1(c_1(c_3(c_0(c_2(c_0(c_0(c_3(c_0(c_2(c_3(c_1(c_2(c_2(c_2(z0)))))))))))))))))) -> c84(3'(1(3(1(0(3(3(2(1(2(1(2(0(2(3(2(0(0(z0)))))))))))))))))), 1'(3(1(0(3(3(2(1(2(1(2(0(2(3(2(0(0(z0))))))))))))))))), 3'(1(0(3(3(2(1(2(1(2(0(2(3(2(0(0(z0)))))))))))))))), 1'(0(3(3(2(1(2(1(2(0(2(3(2(0(0(z0))))))))))))))), 0'(3(3(2(1(2(1(2(0(2(3(2(0(0(z0)))))))))))))), 3'(3(2(1(2(1(2(0(2(3(2(0(0(z0))))))))))))), 3'(2(1(2(1(2(0(2(3(2(0(0(z0)))))))))))), 2'(1(2(1(2(0(2(3(2(0(0(z0))))))))))), 1'(2(1(2(0(2(3(2(0(0(z0)))))))))), 2'(1(2(0(2(3(2(0(0(z0))))))))), 1'(2(0(2(3(2(0(0(z0)))))))), 2'(0(2(3(2(0(0(z0))))))), 0'(2(3(2(0(0(z0)))))), 2'(3(2(0(0(z0))))), 3'(2(0(0(z0)))), 2'(0(0(z0))), 0'(0(z0)), 0'(z0))
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   3'(c_0(c_2(c_0(c_3(c_1(c_1(c_3(c_2(c_1(c_3(c_0(c_2(c_0(c_2(c_1(c_1(c_3(z0)))))))))))))))))) -> c86(1'(3(3(2(0(0(0(1(3(3(2(0(1(1(2(1(2(3(z0)))))))))))))))))), 3'(3(2(0(0(0(1(3(3(2(0(1(1(2(1(2(3(z0))))))))))))))))), 3'(2(0(0(0(1(3(3(2(0(1(1(2(1(2(3(z0)))))))))))))))), 2'(0(0(0(1(3(3(2(0(1(1(2(1(2(3(z0))))))))))))))), 0'(0(0(1(3(3(2(0(1(1(2(1(2(3(z0)))))))))))))), 0'(0(1(3(3(2(0(1(1(2(1(2(3(z0))))))))))))), 0'(1(3(3(2(0(1(1(2(1(2(3(z0)))))))))))), 1'(3(3(2(0(1(1(2(1(2(3(z0))))))))))), 3'(3(2(0(1(1(2(1(2(3(z0)))))))))), 3'(2(0(1(1(2(1(2(3(z0))))))))), 2'(0(1(1(2(1(2(3(z0)))))))), 0'(1(1(2(1(2(3(z0))))))), 1'(1(2(1(2(3(z0)))))), 1'(2(1(2(3(z0))))), 2'(1(2(3(z0)))), 1'(2(3(z0))), 2'(3(z0)), 3'(z0))
   3'(c_3(c_0(c_3(c_0(c_0(c_2(c_3(c_0(c_2(c_3(c_3(c_1(c_2(c_2(c_2(c_2(c_0(z0)))))))))))))))))) -> c87(3'(3(0(0(3(2(3(2(0(0(0(2(3(2(1(2(3(2(z0)))))))))))))))))), 3'(0(0(3(2(3(2(0(0(0(2(3(2(1(2(3(2(z0))))))))))))))))), 0'(0(3(2(3(2(0(0(0(2(3(2(1(2(3(2(z0)))))))))))))))), 0'(3(2(3(2(0(0(0(2(3(2(1(2(3(2(z0))))))))))))))), 3'(2(3(2(0(0(0(2(3(2(1(2(3(2(z0)))))))))))))), 2'(3(2(0(0(0(2(3(2(1(2(3(2(z0))))))))))))), 3'(2(0(0(0(2(3(2(1(2(3(2(z0)))))))))))), 2'(0(0(0(2(3(2(1(2(3(2(z0))))))))))), 0'(0(0(2(3(2(1(2(3(2(z0)))))))))), 0'(0(2(3(2(1(2(3(2(z0))))))))), 0'(2(3(2(1(2(3(2(z0)))))))), 2'(3(2(1(2(3(2(z0))))))), 3'(2(1(2(3(2(z0)))))), 2'(1(2(3(2(z0))))), 1'(2(3(2(z0)))), 2'(3(2(z0))), 3'(2(z0)), 2'(z0))
   3'(c_3(c_3(c_3(c_3(c_0(c_3(c_1(c_1(c_3(c_2(c_1(c_1(c_3(c_2(c_2(c_0(c_2(z0)))))))))))))))))) -> c88(3'(3(1(0(1(2(3(2(0(1(1(3(3(3(3(2(3(2(z0)))))))))))))))))), 3'(1(0(1(2(3(2(0(1(1(3(3(3(3(2(3(2(z0))))))))))))))))), 1'(0(1(2(3(2(0(1(1(3(3(3(3(2(3(2(z0)))))))))))))))), 0'(1(2(3(2(0(1(1(3(3(3(3(2(3(2(z0))))))))))))))), 1'(2(3(2(0(1(1(3(3(3(3(2(3(2(z0)))))))))))))), 2'(3(2(0(1(1(3(3(3(3(2(3(2(z0))))))))))))), 3'(2(0(1(1(3(3(3(3(2(3(2(z0)))))))))))), 2'(0(1(1(3(3(3(3(2(3(2(z0))))))))))), 0'(1(1(3(3(3(3(2(3(2(z0)))))))))), 1'(1(3(3(3(3(2(3(2(z0))))))))), 1'(3(3(3(3(2(3(2(z0)))))))), 3'(3(3(3(2(3(2(z0))))))), 3'(3(3(2(3(2(z0)))))), 3'(3(2(3(2(z0))))), 3'(2(3(2(z0)))), 2'(3(2(z0))), 3'(2(z0)), 2'(z0))
   3'(c_2(c_2(c_3(c_0(c_0(c_3(c_0(c_0(c_2(c_3(c_0(c_1(c_1(c_1(c_1(c_3(c_0(z0)))))))))))))))))) -> c89(3'(2(0(3(2(3(0(1(0(1(1(0(3(1(3(0(2(0(z0)))))))))))))))))), 2'(0(3(2(3(0(1(0(1(1(0(3(1(3(0(2(0(z0))))))))))))))))), 0'(3(2(3(0(1(0(1(1(0(3(1(3(0(2(0(z0)))))))))))))))), 3'(2(3(0(1(0(1(1(0(3(1(3(0(2(0(z0))))))))))))))), 2'(3(0(1(0(1(1(0(3(1(3(0(2(0(z0)))))))))))))), 3'(0(1(0(1(1(0(3(1(3(0(2(0(z0))))))))))))), 0'(1(0(1(1(0(3(1(3(0(2(0(z0)))))))))))), 1'(0(1(1(0(3(1(3(0(2(0(z0))))))))))), 0'(1(1(0(3(1(3(0(2(0(z0)))))))))), 1'(1(0(3(1(3(0(2(0(z0))))))))), 1'(0(3(1(3(0(2(0(z0)))))))), 0'(3(1(3(0(2(0(z0))))))), 3'(1(3(0(2(0(z0)))))), 1'(3(0(2(0(z0))))), 3'(0(2(0(z0)))), 0'(2(0(z0))), 2'(0(z0)), 0'(z0))
   3'(c_1(c_3(c_1(c_1(c_3(c_3(c_3(c_2(c_1(c_2(c_3(c_0(c_2(c_1(c_2(c_3(c_0(z0)))))))))))))))))) -> c90(3'(3(3(2(0(1(3(2(0(1(3(3(1(2(1(1(2(3(z0)))))))))))))))))), 3'(3(2(0(1(3(2(0(1(3(3(1(2(1(1(2(3(z0))))))))))))))))), 3'(2(0(1(3(2(0(1(3(3(1(2(1(1(2(3(z0)))))))))))))))), 2'(0(1(3(2(0(1(3(3(1(2(1(1(2(3(z0))))))))))))))), 0'(1(3(2(0(1(3(3(1(2(1(1(2(3(z0)))))))))))))), 1'(3(2(0(1(3(3(1(2(1(1(2(3(z0))))))))))))), 3'(2(0(1(3(3(1(2(1(1(2(3(z0)))))))))))), 2'(0(1(3(3(1(2(1(1(2(3(z0))))))))))), 0'(1(3(3(1(2(1(1(2(3(z0)))))))))), 1'(3(3(1(2(1(1(2(3(z0))))))))), 3'(3(1(2(1(1(2(3(z0)))))))), 3'(1(2(1(1(2(3(z0))))))), 1'(2(1(1(2(3(z0)))))), 2'(1(1(2(3(z0))))), 1'(1(2(3(z0)))), 1'(2(3(z0))), 2'(3(z0)), 3'(z0))
   3'(c_0(c_2(c_2(c_0(c_0(c_1(c_2(c_3(c_0(c_0(c_1(c_1(c_2(c_0(c_1(c_2(c_2(z0)))))))))))))))))) -> c91(2'(3(0(2(3(1(1(0(2(0(2(1(1(0(0(2(0(2(z0)))))))))))))))))), 3'(0(2(3(1(1(0(2(0(2(1(1(0(0(2(0(2(z0))))))))))))))))), 0'(2(3(1(1(0(2(0(2(1(1(0(0(2(0(2(z0)))))))))))))))), 2'(3(1(1(0(2(0(2(1(1(0(0(2(0(2(z0))))))))))))))), 3'(1(1(0(2(0(2(1(1(0(0(2(0(2(z0)))))))))))))), 1'(1(0(2(0(2(1(1(0(0(2(0(2(z0))))))))))))), 1'(0(2(0(2(1(1(0(0(2(0(2(z0)))))))))))), 0'(2(0(2(1(1(0(0(2(0(2(z0))))))))))), 2'(0(2(1(1(0(0(2(0(2(z0)))))))))), 0'(2(1(1(0(0(2(0(2(z0))))))))), 2'(1(1(0(0(2(0(2(z0)))))))), 1'(1(0(0(2(0(2(z0))))))), 1'(0(0(2(0(2(z0)))))), 0'(0(2(0(2(z0))))), 0'(2(0(2(z0)))), 2'(0(2(z0))), 0'(2(z0)), 2'(z0))
   ENCODE_0(z0) -> c8(0'(encArg(z0)))
   ENCODE_3(z0) -> c8(3'(encArg(z0)))
   ENCODE_1(z0) -> c8(1'(encArg(z0)))
   ENCODE_2(z0) -> c8(2'(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:
   0'(c_0(c_0(c_1(c_0(c_0(c_0(c_2(c_1(c_1(c_2(c_0(c_1(c_0(c_1(c_2(c_0(c_0(z0)))))))))))))))))) -> c9(0'(1(0(1(1(0(0(2(1(1(0(0(2(0(2(0(0(0(z0)))))))))))))))))), 1'(0(1(1(0(0(2(1(1(0(0(2(0(2(0(0(0(z0))))))))))))))))), 0'(1(1(0(0(2(1(1(0(0(2(0(2(0(0(0(z0)))))))))))))))), 1'(1(0(0(2(1(1(0(0(2(0(2(0(0(0(z0))))))))))))))), 1'(0(0(2(1(1(0(0(2(0(2(0(0(0(z0)))))))))))))), 0'(0(2(1(1(0(0(2(0(2(0(0(0(z0))))))))))))), 0'(2(1(1(0(0(2(0(2(0(0(0(z0)))))))))))), 2'(1(1(0(0(2(0(2(0(0(0(z0))))))))))), 1'(1(0(0(2(0(2(0(0(0(z0)))))))))), 1'(0(0(2(0(2(0(0(0(z0))))))))), 0'(0(2(0(2(0(0(0(z0)))))))), 0'(2(0(2(0(0(0(z0))))))), 2'(0(2(0(0(0(z0)))))), 0'(2(0(0(0(z0))))), 2'(0(0(0(z0)))), 0'(0(0(z0))), 0'(0(z0)), 0'(z0))
   0'(c_0(c_1(c_3(c_2(c_1(c_0(c_0(c_3(c_2(c_3(c_1(c_3(c_0(c_0(c_2(c_0(c_0(z0)))))))))))))))))) -> c10(0'(0(2(3(2(0(1(0(2(1(0(1(0(3(0(3(0(3(z0)))))))))))))))))), 0'(2(3(2(0(1(0(2(1(0(1(0(3(0(3(0(3(z0))))))))))))))))), 2'(3(2(0(1(0(2(1(0(1(0(3(0(3(0(3(z0)))))))))))))))), 3'(2(0(1(0(2(1(0(1(0(3(0(3(0(3(z0))))))))))))))), 2'(0(1(0(2(1(0(1(0(3(0(3(0(3(z0)))))))))))))), 0'(1(0(2(1(0(1(0(3(0(3(0(3(z0))))))))))))), 1'(0(2(1(0(1(0(3(0(3(0(3(z0)))))))))))), 0'(2(1(0(1(0(3(0(3(0(3(z0))))))))))), 2'(1(0(1(0(3(0(3(0(3(z0)))))))))), 1'(0(1(0(3(0(3(0(3(z0))))))))), 0'(1(0(3(0(3(0(3(z0)))))))), 1'(0(3(0(3(0(3(z0))))))), 0'(3(0(3(0(3(z0)))))), 3'(0(3(0(3(z0))))), 0'(3(0(3(z0)))), 3'(0(3(z0))), 0'(3(z0)), 3'(z0))
   0'(c_3(c_1(c_2(c_3(c_1(c_0(c_3(c_3(c_3(c_1(c_3(c_0(c_3(c_2(c_2(c_1(c_2(z0)))))))))))))))))) -> c11(1'(0(3(1(0(3(3(3(3(2(3(2(3(2(0(2(1(1(z0)))))))))))))))))), 0'(3(1(0(3(3(3(3(2(3(2(3(2(0(2(1(1(z0))))))))))))))))), 3'(1(0(3(3(3(3(2(3(2(3(2(0(2(1(1(z0)))))))))))))))), 1'(0(3(3(3(3(2(3(2(3(2(0(2(1(1(z0))))))))))))))), 0'(3(3(3(3(2(3(2(3(2(0(2(1(1(z0)))))))))))))), 3'(3(3(3(2(3(2(3(2(0(2(1(1(z0))))))))))))), 3'(3(3(2(3(2(3(2(0(2(1(1(z0)))))))))))), 3'(3(2(3(2(3(2(0(2(1(1(z0))))))))))), 3'(2(3(2(3(2(0(2(1(1(z0)))))))))), 2'(3(2(3(2(0(2(1(1(z0))))))))), 3'(2(3(2(0(2(1(1(z0)))))))), 2'(3(2(0(2(1(1(z0))))))), 3'(2(0(2(1(1(z0)))))), 2'(0(2(1(1(z0))))), 0'(2(1(1(z0)))), 2'(1(1(z0))), 1'(1(z0)), 1'(z0))
   0'(c_0(c_3(c_0(c_3(c_1(c_2(c_0(c_3(c_0(c_3(c_1(c_0(c_0(c_1(c_0(c_1(c_3(z0)))))))))))))))))) -> c12(0'(3(0(0(3(3(0(1(0(3(0(1(0(0(2(1(1(3(z0)))))))))))))))))), 3'(0(0(3(3(0(1(0(3(0(1(0(0(2(1(1(3(z0))))))))))))))))), 0'(0(3(3(0(1(0(3(0(1(0(0(2(1(1(3(z0)))))))))))))))), 0'(3(3(0(1(0(3(0(1(0(0(2(1(1(3(z0))))))))))))))), 3'(3(0(1(0(3(0(1(0(0(2(1(1(3(z0)))))))))))))), 3'(0(1(0(3(0(1(0(0(2(1(1(3(z0))))))))))))), 0'(1(0(3(0(1(0(0(2(1(1(3(z0)))))))))))), 1'(0(3(0(1(0(0(2(1(1(3(z0))))))))))), 0'(3(0(1(0(0(2(1(1(3(z0)))))))))), 3'(0(1(0(0(2(1(1(3(z0))))))))), 0'(1(0(0(2(1(1(3(z0)))))))), 1'(0(0(2(1(1(3(z0))))))), 0'(0(2(1(1(3(z0)))))), 0'(2(1(1(3(z0))))), 2'(1(1(3(z0)))), 1'(1(3(z0))), 1'(3(z0)), 3'(z0))
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   3'(c_3(c_0(c_2(c_0(c_2(c_0(c_3(c_3(c_3(c_1(c_0(c_2(c_2(c_2(c_3(c_3(c_0(z0)))))))))))))))))) -> c81(3'(2(2(1(0(3(2(0(0(2(3(3(2(3(3(0(0(3(z0)))))))))))))))))), 2'(2(1(0(3(2(0(0(2(3(3(2(3(3(0(0(3(z0))))))))))))))))), 2'(1(0(3(2(0(0(2(3(3(2(3(3(0(0(3(z0)))))))))))))))), 1'(0(3(2(0(0(2(3(3(2(3(3(0(0(3(z0))))))))))))))), 0'(3(2(0(0(2(3(3(2(3(3(0(0(3(z0)))))))))))))), 3'(2(0(0(2(3(3(2(3(3(0(0(3(z0))))))))))))), 2'(0(0(2(3(3(2(3(3(0(0(3(z0)))))))))))), 0'(0(2(3(3(2(3(3(0(0(3(z0))))))))))), 0'(2(3(3(2(3(3(0(0(3(z0)))))))))), 2'(3(3(2(3(3(0(0(3(z0))))))))), 3'(3(2(3(3(0(0(3(z0)))))))), 3'(2(3(3(0(0(3(z0))))))), 2'(3(3(0(0(3(z0)))))), 3'(3(0(0(3(z0))))), 3'(0(0(3(z0)))), 0'(0(3(z0))), 0'(3(z0)), 3'(z0))
   3'(c_0(c_1(c_0(c_3(c_1(c_2(c_2(c_0(c_1(c_1(c_1(c_3(c_3(c_0(c_2(c_3(c_0(z0)))))))))))))))))) -> c82(0'(3(3(2(1(0(0(2(3(3(1(1(0(1(1(3(2(0(z0)))))))))))))))))), 3'(3(2(1(0(0(2(3(3(1(1(0(1(1(3(2(0(z0))))))))))))))))), 3'(2(1(0(0(2(3(3(1(1(0(1(1(3(2(0(z0)))))))))))))))), 2'(1(0(0(2(3(3(1(1(0(1(1(3(2(0(z0))))))))))))))), 1'(0(0(2(3(3(1(1(0(1(1(3(2(0(z0)))))))))))))), 0'(0(2(3(3(1(1(0(1(1(3(2(0(z0))))))))))))), 0'(2(3(3(1(1(0(1(1(3(2(0(z0)))))))))))), 2'(3(3(1(1(0(1(1(3(2(0(z0))))))))))), 3'(3(1(1(0(1(1(3(2(0(z0)))))))))), 3'(1(1(0(1(1(3(2(0(z0))))))))), 1'(1(0(1(1(3(2(0(z0)))))))), 1'(0(1(1(3(2(0(z0))))))), 0'(1(1(3(2(0(z0)))))), 1'(1(3(2(0(z0))))), 1'(3(2(0(z0)))), 3'(2(0(z0))), 2'(0(z0)), 0'(z0))
   3'(c_1(c_2(c_0(c_1(c_2(c_0(c_3(c_1(c_2(c_1(c_0(c_0(c_2(c_0(c_3(c_0(c_2(z0)))))))))))))))))) -> c83(3'(1(0(2(2(1(3(0(0(2(0(3(2(1(1(0(2(0(z0)))))))))))))))))), 1'(0(2(2(1(3(0(0(2(0(3(2(1(1(0(2(0(z0))))))))))))))))), 0'(2(2(1(3(0(0(2(0(3(2(1(1(0(2(0(z0)))))))))))))))), 2'(2(1(3(0(0(2(0(3(2(1(1(0(2(0(z0))))))))))))))), 2'(1(3(0(0(2(0(3(2(1(1(0(2(0(z0)))))))))))))), 1'(3(0(0(2(0(3(2(1(1(0(2(0(z0))))))))))))), 3'(0(0(2(0(3(2(1(1(0(2(0(z0)))))))))))), 0'(0(2(0(3(2(1(1(0(2(0(z0))))))))))), 0'(2(0(3(2(1(1(0(2(0(z0)))))))))), 2'(0(3(2(1(1(0(2(0(z0))))))))), 0'(3(2(1(1(0(2(0(z0)))))))), 3'(2(1(1(0(2(0(z0))))))), 2'(1(1(0(2(0(z0)))))), 1'(1(0(2(0(z0))))), 1'(0(2(0(z0)))), 0'(2(0(z0))), 2'(0(z0)), 0'(z0))
   3'(c_1(c_3(c_1(c_1(c_3(c_0(c_2(c_0(c_0(c_3(c_0(c_2(c_3(c_1(c_2(c_2(c_2(z0)))))))))))))))))) -> c84(3'(1(3(1(0(3(3(2(1(2(1(2(0(2(3(2(0(0(z0)))))))))))))))))), 1'(3(1(0(3(3(2(1(2(1(2(0(2(3(2(0(0(z0))))))))))))))))), 3'(1(0(3(3(2(1(2(1(2(0(2(3(2(0(0(z0)))))))))))))))), 1'(0(3(3(2(1(2(1(2(0(2(3(2(0(0(z0))))))))))))))), 0'(3(3(2(1(2(1(2(0(2(3(2(0(0(z0)))))))))))))), 3'(3(2(1(2(1(2(0(2(3(2(0(0(z0))))))))))))), 3'(2(1(2(1(2(0(2(3(2(0(0(z0)))))))))))), 2'(1(2(1(2(0(2(3(2(0(0(z0))))))))))), 1'(2(1(2(0(2(3(2(0(0(z0)))))))))), 2'(1(2(0(2(3(2(0(0(z0))))))))), 1'(2(0(2(3(2(0(0(z0)))))))), 2'(0(2(3(2(0(0(z0))))))), 0'(2(3(2(0(0(z0)))))), 2'(3(2(0(0(z0))))), 3'(2(0(0(z0)))), 2'(0(0(z0))), 0'(0(z0)), 0'(z0))
   3'(c_0(c_1(c_2(c_2(c_3(c_0(c_1(c_2(c_1(c_3(c_1(c_3(c_3(c_3(c_1(c_1(c_3(z0)))))))))))))))))) -> c85(0'(2(1(3(3(3(2(1(1(0(1(3(3(2(1(1(3(3(z0)))))))))))))))))), 2'(1(3(3(3(2(1(1(0(1(3(3(2(1(1(3(3(z0))))))))))))))))), 1'(3(3(3(2(1(1(0(1(3(3(2(1(1(3(3(z0)))))))))))))))), 3'(3(3(2(1(1(0(1(3(3(2(1(1(3(3(z0))))))))))))))), 3'(3(2(1(1(0(1(3(3(2(1(1(3(3(z0)))))))))))))), 3'(2(1(1(0(1(3(3(2(1(1(3(3(z0))))))))))))), 2'(1(1(0(1(3(3(2(1(1(3(3(z0)))))))))))), 1'(1(0(1(3(3(2(1(1(3(3(z0))))))))))), 1'(0(1(3(3(2(1(1(3(3(z0)))))))))), 0'(1(3(3(2(1(1(3(3(z0))))))))), 1'(3(3(2(1(1(3(3(z0)))))))), 3'(3(2(1(1(3(3(z0))))))), 3'(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_2(c_0(c_3(c_1(c_1(c_3(c_2(c_1(c_3(c_0(c_2(c_0(c_2(c_1(c_1(c_3(z0)))))))))))))))))) -> c86(1'(3(3(2(0(0(0(1(3(3(2(0(1(1(2(1(2(3(z0)))))))))))))))))), 3'(3(2(0(0(0(1(3(3(2(0(1(1(2(1(2(3(z0))))))))))))))))), 3'(2(0(0(0(1(3(3(2(0(1(1(2(1(2(3(z0)))))))))))))))), 2'(0(0(0(1(3(3(2(0(1(1(2(1(2(3(z0))))))))))))))), 0'(0(0(1(3(3(2(0(1(1(2(1(2(3(z0)))))))))))))), 0'(0(1(3(3(2(0(1(1(2(1(2(3(z0))))))))))))), 0'(1(3(3(2(0(1(1(2(1(2(3(z0)))))))))))), 1'(3(3(2(0(1(1(2(1(2(3(z0))))))))))), 3'(3(2(0(1(1(2(1(2(3(z0)))))))))), 3'(2(0(1(1(2(1(2(3(z0))))))))), 2'(0(1(1(2(1(2(3(z0)))))))), 0'(1(1(2(1(2(3(z0))))))), 1'(1(2(1(2(3(z0)))))), 1'(2(1(2(3(z0))))), 2'(1(2(3(z0)))), 1'(2(3(z0))), 2'(3(z0)), 3'(z0))
   3'(c_3(c_0(c_3(c_0(c_0(c_2(c_3(c_0(c_2(c_3(c_3(c_1(c_2(c_2(c_2(c_2(c_0(z0)))))))))))))))))) -> c87(3'(3(0(0(3(2(3(2(0(0(0(2(3(2(1(2(3(2(z0)))))))))))))))))), 3'(0(0(3(2(3(2(0(0(0(2(3(2(1(2(3(2(z0))))))))))))))))), 0'(0(3(2(3(2(0(0(0(2(3(2(1(2(3(2(z0)))))))))))))))), 0'(3(2(3(2(0(0(0(2(3(2(1(2(3(2(z0))))))))))))))), 3'(2(3(2(0(0(0(2(3(2(1(2(3(2(z0)))))))))))))), 2'(3(2(0(0(0(2(3(2(1(2(3(2(z0))))))))))))), 3'(2(0(0(0(2(3(2(1(2(3(2(z0)))))))))))), 2'(0(0(0(2(3(2(1(2(3(2(z0))))))))))), 0'(0(0(2(3(2(1(2(3(2(z0)))))))))), 0'(0(2(3(2(1(2(3(2(z0))))))))), 0'(2(3(2(1(2(3(2(z0)))))))), 2'(3(2(1(2(3(2(z0))))))), 3'(2(1(2(3(2(z0)))))), 2'(1(2(3(2(z0))))), 1'(2(3(2(z0)))), 2'(3(2(z0))), 3'(2(z0)), 2'(z0))
   3'(c_3(c_3(c_3(c_3(c_0(c_3(c_1(c_1(c_3(c_2(c_1(c_1(c_3(c_2(c_2(c_0(c_2(z0)))))))))))))))))) -> c88(3'(3(1(0(1(2(3(2(0(1(1(3(3(3(3(2(3(2(z0)))))))))))))))))), 3'(1(0(1(2(3(2(0(1(1(3(3(3(3(2(3(2(z0))))))))))))))))), 1'(0(1(2(3(2(0(1(1(3(3(3(3(2(3(2(z0)))))))))))))))), 0'(1(2(3(2(0(1(1(3(3(3(3(2(3(2(z0))))))))))))))), 1'(2(3(2(0(1(1(3(3(3(3(2(3(2(z0)))))))))))))), 2'(3(2(0(1(1(3(3(3(3(2(3(2(z0))))))))))))), 3'(2(0(1(1(3(3(3(3(2(3(2(z0)))))))))))), 2'(0(1(1(3(3(3(3(2(3(2(z0))))))))))), 0'(1(1(3(3(3(3(2(3(2(z0)))))))))), 1'(1(3(3(3(3(2(3(2(z0))))))))), 1'(3(3(3(3(2(3(2(z0)))))))), 3'(3(3(3(2(3(2(z0))))))), 3'(3(3(2(3(2(z0)))))), 3'(3(2(3(2(z0))))), 3'(2(3(2(z0)))), 2'(3(2(z0))), 3'(2(z0)), 2'(z0))
   3'(c_2(c_2(c_3(c_0(c_0(c_3(c_0(c_0(c_2(c_3(c_0(c_1(c_1(c_1(c_1(c_3(c_0(z0)))))))))))))))))) -> c89(3'(2(0(3(2(3(0(1(0(1(1(0(3(1(3(0(2(0(z0)))))))))))))))))), 2'(0(3(2(3(0(1(0(1(1(0(3(1(3(0(2(0(z0))))))))))))))))), 0'(3(2(3(0(1(0(1(1(0(3(1(3(0(2(0(z0)))))))))))))))), 3'(2(3(0(1(0(1(1(0(3(1(3(0(2(0(z0))))))))))))))), 2'(3(0(1(0(1(1(0(3(1(3(0(2(0(z0)))))))))))))), 3'(0(1(0(1(1(0(3(1(3(0(2(0(z0))))))))))))), 0'(1(0(1(1(0(3(1(3(0(2(0(z0)))))))))))), 1'(0(1(1(0(3(1(3(0(2(0(z0))))))))))), 0'(1(1(0(3(1(3(0(2(0(z0)))))))))), 1'(1(0(3(1(3(0(2(0(z0))))))))), 1'(0(3(1(3(0(2(0(z0)))))))), 0'(3(1(3(0(2(0(z0))))))), 3'(1(3(0(2(0(z0)))))), 1'(3(0(2(0(z0))))), 3'(0(2(0(z0)))), 0'(2(0(z0))), 2'(0(z0)), 0'(z0))
   3'(c_1(c_3(c_1(c_1(c_3(c_3(c_3(c_2(c_1(c_2(c_3(c_0(c_2(c_1(c_2(c_3(c_0(z0)))))))))))))))))) -> c90(3'(3(3(2(0(1(3(2(0(1(3(3(1(2(1(1(2(3(z0)))))))))))))))))), 3'(3(2(0(1(3(2(0(1(3(3(1(2(1(1(2(3(z0))))))))))))))))), 3'(2(0(1(3(2(0(1(3(3(1(2(1(1(2(3(z0)))))))))))))))), 2'(0(1(3(2(0(1(3(3(1(2(1(1(2(3(z0))))))))))))))), 0'(1(3(2(0(1(3(3(1(2(1(1(2(3(z0)))))))))))))), 1'(3(2(0(1(3(3(1(2(1(1(2(3(z0))))))))))))), 3'(2(0(1(3(3(1(2(1(1(2(3(z0)))))))))))), 2'(0(1(3(3(1(2(1(1(2(3(z0))))))))))), 0'(1(3(3(1(2(1(1(2(3(z0)))))))))), 1'(3(3(1(2(1(1(2(3(z0))))))))), 3'(3(1(2(1(1(2(3(z0)))))))), 3'(1(2(1(1(2(3(z0))))))), 1'(2(1(1(2(3(z0)))))), 2'(1(1(2(3(z0))))), 1'(1(2(3(z0)))), 1'(2(3(z0))), 2'(3(z0)), 3'(z0))
   3'(c_0(c_2(c_2(c_0(c_0(c_1(c_2(c_3(c_0(c_0(c_1(c_1(c_2(c_0(c_1(c_2(c_2(z0)))))))))))))))))) -> c91(2'(3(0(2(3(1(1(0(2(0(2(1(1(0(0(2(0(2(z0)))))))))))))))))), 3'(0(2(3(1(1(0(2(0(2(1(1(0(0(2(0(2(z0))))))))))))))))), 0'(2(3(1(1(0(2(0(2(1(1(0(0(2(0(2(z0)))))))))))))))), 2'(3(1(1(0(2(0(2(1(1(0(0(2(0(2(z0))))))))))))))), 3'(1(1(0(2(0(2(1(1(0(0(2(0(2(z0)))))))))))))), 1'(1(0(2(0(2(1(1(0(0(2(0(2(z0))))))))))))), 1'(0(2(0(2(1(1(0(0(2(0(2(z0)))))))))))), 0'(2(0(2(1(1(0(0(2(0(2(z0))))))))))), 2'(0(2(1(1(0(0(2(0(2(z0)))))))))), 0'(2(1(1(0(0(2(0(2(z0))))))))), 2'(1(1(0(0(2(0(2(z0)))))))), 1'(1(0(0(2(0(2(z0))))))), 1'(0(0(2(0(2(z0)))))), 0'(0(2(0(2(z0))))), 0'(2(0(2(z0)))), 2'(0(2(z0))), 0'(2(z0)), 2'(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_3_1, ENCODE_1_1, ENCODE_2_1

Compound Symbols:   c3_2, c9_18, c10_18, c11_18, c12_18, c13_18, c14_18, c15_18, c16_18, c17_18, c18_18, c19_18, c20_18, c21_18, c22_18, c23_18, c24_18, c25_18, c26_18, c27_18, c28_18, c29_18, c30_18, c31_18, c33_18, c34_18, c35_18, c36_18, c37_18, c38_18, c39_18, c40_18, c41_18, c42_18, c43_18, c44_18, c45_18, c46_18, c47_18, c48_18, c49_18, c50_18, c51_18, c52_18, c53_18, c55_18, c56_18, c57_18, c58_18, c59_18, c60_18, c61_18, c62_18, c63_18, c64_18, c65_18, c66_18, c67_18, c68_18, c69_18, c70_18, c71_18, c72_18, c73_18, c75_18, c76_18, c77_18, c78_18, c79_18, c80_18, c81_18, c82_18, c83_18, c84_18, c85_18, c86_18, c87_18, c88_18, c89_18, c90_18, c91_18, 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_0(c_0(c_1(c_0(c_0(c_0(c_2(c_1(c_1(c_2(c_0(c_1(c_0(c_1(c_2(c_0(c_0(z0)))))))))))))))))) -> 0(1(0(1(1(0(0(2(1(1(0(0(2(0(2(0(0(0(z0))))))))))))))))))
   0(c_0(c_1(c_3(c_2(c_1(c_0(c_0(c_3(c_2(c_3(c_1(c_3(c_0(c_0(c_2(c_0(c_0(z0)))))))))))))))))) -> 0(0(2(3(2(0(1(0(2(1(0(1(0(3(0(3(0(3(z0))))))))))))))))))
   0(c_3(c_1(c_2(c_3(c_1(c_0(c_3(c_3(c_3(c_1(c_3(c_0(c_3(c_2(c_2(c_1(c_2(z0)))))))))))))))))) -> 1(0(3(1(0(3(3(3(3(2(3(2(3(2(0(2(1(1(z0))))))))))))))))))
   0(c_0(c_3(c_0(c_3(c_1(c_2(c_0(c_3(c_0(c_3(c_1(c_0(c_0(c_1(c_0(c_1(c_3(z0)))))))))))))))))) -> 0(3(0(0(3(3(0(1(0(3(0(1(0(0(2(1(1(3(z0))))))))))))))))))
   0(c_2(c_3(c_3(c_1(c_0(c_3(c_0(c_0(c_0(c_2(c_0(c_1(c_3(c_1(c_3(c_3(c_0(z0)))))))))))))))))) -> 0(3(0(3(3(2(3(2(3(0(0(0(0(1(1(1(3(0(z0))))))))))))))))))
   0(c_0(c_1(c_3(c_1(c_0(c_3(c_1(c_1(c_3(c_1(c_2(c_3(c_1(c_2(c_2(c_1(c_1(z0)))))))))))))))))) -> 0(3(0(2(1(0(3(2(1(1(2(1(3(1(3(1(1(1(z0))))))))))))))))))
   0(c_0(c_3(c_2(c_1(c_3(c_1(c_3(c_3(c_0(c_1(c_2(c_0(c_0(c_0(c_2(c_0(c_2(z0)))))))))))))))))) -> 0(3(0(0(2(1(3(1(2(3(2(1(0(0(0(3(2(0(z0))))))))))))))))))
   0(c_3(c_3(c_3(c_1(c_2(c_0(c_0(c_3(c_2(c_0(c_1(c_2(c_1(c_3(c_0(c_2(c_0(z0)))))))))))))))))) -> 0(2(1(0(1(0(1(0(0(3(3(2(3(0(2(3(2(3(z0))))))))))))))))))
   0(c_0(c_1(c_2(c_0(c_0(c_3(c_3(c_2(c_1(c_3(c_3(c_3(c_1(c_1(c_1(c_1(c_2(z0)))))))))))))))))) -> 0(0(3(3(1(0(2(3(2(1(1(3(1(1(1(3(2(0(z0))))))))))))))))))
   0(c_0(c_1(c_1(c_1(c_3(c_2(c_2(c_2(c_1(c_3(c_2(c_3(c_0(c_0(c_0(c_0(c_0(z0)))))))))))))))))) -> 1(0(0(3(2(0(1(3(2(0(0(2(3(1(0(2(1(0(z0))))))))))))))))))
   0(c_3(c_0(c_3(c_2(c_2(c_0(c_3(c_3(c_1(c_0(c_0(c_3(c_0(c_3(c_0(c_1(c_0(z0)))))))))))))))))) -> 0(3(0(0(3(3(3(2(1(3(2(0(0(1(3(0(0(0(z0))))))))))))))))))
   0(c_0(c_0(c_3(c_0(c_3(c_0(c_1(c_2(c_1(c_0(c_0(c_0(c_1(c_2(c_3(c_3(c_3(z0)))))))))))))))))) -> 0(0(0(2(3(0(0(0(0(1(1(3(1(0(2(3(3(3(z0))))))))))))))))))
   0(c_0(c_3(c_0(c_3(c_3(c_3(c_1(c_1(c_1(c_3(c_1(c_1(c_2(c_1(c_2(c_3(c_0(z0)))))))))))))))))) -> 0(3(3(1(2(1(3(0(3(3(2(0(1(1(0(1(1(3(z0))))))))))))))))))
   0(c_0(c_1(c_0(c_1(c_1(c_1(c_0(c_2(c_2(c_3(c_3(c_1(c_3(c_0(c_2(c_1(c_0(z0)))))))))))))))))) -> 0(0(1(1(1(3(3(3(2(1(1(0(0(1(2(0(2(0(z0))))))))))))))))))
   0(c_0(c_0(c_0(c_3(c_0(c_3(c_1(c_3(c_1(c_2(c_2(c_1(c_3(c_1(c_0(c_0(c_2(z0)))))))))))))))))) -> 0(0(3(3(2(1(3(0(0(1(1(2(0(0(1(0(2(3(z0))))))))))))))))))
   0(c_0(c_1(c_2(c_0(c_1(c_0(c_1(c_1(c_0(c_1(c_2(c_2(c_3(c_3(c_1(c_2(c_2(z0)))))))))))))))))) -> 0(2(0(1(2(3(1(1(0(0(2(3(2(1(1(1(0(2(z0))))))))))))))))))
   0(c_2(c_2(c_3(c_2(c_3(c_2(c_2(c_2(c_2(c_2(c_3(c_3(c_0(c_0(c_0(c_0(c_3(z0)))))))))))))))))) -> 0(2(0(3(2(2(0(3(3(3(2(2(2(0(2(0(2(3(z0))))))))))))))))))
   0(c_0(c_2(c_3(c_3(c_3(c_0(c_0(c_1(c_1(c_2(c_2(c_0(c_3(c_2(c_3(c_3(c_0(z0)))))))))))))))))) -> 0(3(0(2(3(0(1(3(3(2(0(0(3(3(2(1(2(0(z0))))))))))))))))))
   0(c_1(c_3(c_0(c_1(c_0(c_1(c_1(c_2(c_2(c_2(c_3(c_3(c_0(c_3(c_0(c_0(c_0(z0)))))))))))))))))) -> 0(2(1(0(0(3(2(0(0(3(3(3(1(1(0(1(2(0(z0))))))))))))))))))
   0(c_1(c_2(c_3(c_0(c_2(c_1(c_2(c_3(c_0(c_0(c_3(c_0(c_1(c_0(c_1(c_3(c_0(z0)))))))))))))))))) -> 0(2(0(0(0(2(3(3(1(1(3(2(0(3(0(0(1(1(z0))))))))))))))))))
   0(c_0(c_3(c_0(c_2(c_0(c_1(c_1(c_3(c_1(c_0(c_2(c_0(c_0(c_0(c_2(c_1(c_1(z0)))))))))))))))))) -> 0(3(1(0(3(2(0(1(0(1(0(0(2(0(1(2(0(1(z0))))))))))))))))))
   0(c_0(c_3(c_3(c_1(c_2(c_3(c_0(c_2(c_3(c_3(c_3(c_0(c_0(c_3(c_2(c_2(c_3(z0)))))))))))))))))) -> 3(0(3(3(2(0(2(3(2(0(3(1(3(3(2(0(0(3(z0))))))))))))))))))
   0(c_0(c_2(c_2(c_1(c_1(c_3(c_0(c_2(c_2(c_2(c_2(c_0(c_3(c_3(c_0(c_1(c_0(z0)))))))))))))))))) -> 0(2(2(1(1(0(2(3(0(0(2(0(2(1(3(2(3(0(z0))))))))))))))))))
   1(z0) -> c_1(z0)
   1(c_3(c_0(c_3(c_3(c_0(c_2(c_3(c_1(c_0(c_0(c_0(c_3(c_2(c_1(c_2(c_3(c_3(z0)))))))))))))))))) -> 1(3(0(2(0(0(3(1(0(2(1(0(2(3(3(3(3(3(z0))))))))))))))))))
   1(c_2(c_1(c_2(c_2(c_0(c_1(c_3(c_0(c_2(c_3(c_2(c_2(c_3(c_2(c_3(c_3(c_0(z0)))))))))))))))))) -> 1(2(0(3(0(2(2(1(3(3(2(2(2(3(3(2(1(0(z0))))))))))))))))))
   1(c_2(c_0(c_0(c_1(c_1(c_0(c_1(c_2(c_0(c_1(c_1(c_2(c_0(c_0(c_3(c_3(c_1(z0)))))))))))))))))) -> 1(1(1(0(1(0(1(0(1(0(0(2(0(1(3(3(2(2(z0))))))))))))))))))
   1(c_0(c_0(c_0(c_3(c_0(c_0(c_1(c_3(c_1(c_2(c_1(c_2(c_2(c_1(c_2(c_3(c_1(z0)))))))))))))))))) -> 1(3(0(0(0(3(2(1(2(1(0(0(1(3(2(2(1(1(z0))))))))))))))))))
   1(c_0(c_2(c_3(c_1(c_3(c_2(c_2(c_3(c_1(c_2(c_0(c_1(c_0(c_3(c_0(c_0(c_0(z0)))))))))))))))))) -> 1(0(3(3(2(1(3(2(3(0(1(2(0(0(2(1(0(0(z0))))))))))))))))))
   1(c_3(c_1(c_2(c_2(c_2(c_0(c_3(c_3(c_2(c_1(c_0(c_3(c_3(c_0(c_0(c_3(c_0(z0)))))))))))))))))) -> 1(3(2(3(0(2(3(3(3(0(0(2(0(1(3(2(1(0(z0))))))))))))))))))
   1(c_2(c_1(c_3(c_1(c_1(c_3(c_0(c_3(c_1(c_1(c_1(c_1(c_1(c_3(c_0(c_1(c_3(z0)))))))))))))))))) -> 1(0(1(1(0(3(1(3(3(1(1(3(2(1(1(1(1(3(z0))))))))))))))))))
   1(c_3(c_1(c_1(c_1(c_2(c_0(c_2(c_1(c_2(c_0(c_3(c_3(c_1(c_2(c_2(c_3(c_1(z0)))))))))))))))))) -> 1(2(1(2(1(2(2(1(1(1(1(0(3(3(3(0(3(2(z0))))))))))))))))))
   1(c_3(c_0(c_0(c_1(c_2(c_3(c_3(c_2(c_3(c_1(c_1(c_3(c_1(c_0(c_3(c_1(c_2(z0)))))))))))))))))) -> 1(1(2(3(3(3(3(1(1(0(2(0(1(3(3(2(0(1(z0))))))))))))))))))
   1(c_1(c_1(c_2(c_1(c_2(c_3(c_0(c_0(c_2(c_3(c_0(c_3(c_1(c_3(c_2(c_0(c_2(z0)))))))))))))))))) -> 1(1(1(3(0(2(0(2(0(2(3(2(0(3(3(1(1(2(z0))))))))))))))))))
   1(c_0(c_3(c_3(c_3(c_0(c_2(c_3(c_0(c_2(c_1(c_1(c_0(c_3(c_3(c_1(c_3(c_1(z0)))))))))))))))))) -> 1(3(3(1(1(1(0(3(0(0(3(3(3(2(3(2(0(1(z0))))))))))))))))))
   1(c_2(c_2(c_3(c_2(c_1(c_3(c_0(c_3(c_1(c_3(c_3(c_1(c_3(c_0(c_3(c_3(c_3(z0)))))))))))))))))) -> 1(3(3(1(1(2(0(3(3(2(3(1(3(2(0(3(3(3(z0))))))))))))))))))
   1(c_2(c_1(c_2(c_3(c_0(c_3(c_0(c_2(c_2(c_0(c_2(c_3(c_2(c_0(c_1(c_1(c_2(z0)))))))))))))))))) -> 1(0(1(3(2(2(0(2(1(2(1(3(2(0(2(3(0(2(z0))))))))))))))))))
   1(c_2(c_2(c_3(c_3(c_0(c_1(c_2(c_1(c_0(c_3(c_1(c_2(c_3(c_1(c_1(c_2(c_2(z0)))))))))))))))))) -> 1(3(3(2(3(3(1(2(2(0(1(2(2(2(1(1(1(0(z0))))))))))))))))))
   1(c_3(c_3(c_0(c_3(c_1(c_0(c_1(c_3(c_1(c_2(c_2(c_0(c_3(c_1(c_1(c_0(c_0(z0)))))))))))))))))) -> 1(3(2(0(3(0(0(0(3(2(1(3(1(1(1(1(3(0(z0))))))))))))))))))
   1(c_1(c_2(c_1(c_3(c_0(c_2(c_1(c_0(c_0(c_3(c_0(c_1(c_2(c_2(c_0(c_3(c_3(z0)))))))))))))))))) -> 1(0(3(2(1(0(3(3(1(0(2(2(0(1(0(2(1(3(z0))))))))))))))))))
   1(c_2(c_1(c_0(c_1(c_3(c_0(c_3(c_3(c_1(c_3(c_1(c_2(c_2(c_3(c_0(c_2(c_0(z0)))))))))))))))))) -> 1(1(3(3(2(0(0(3(2(1(2(3(3(2(0(1(1(0(z0))))))))))))))))))
   1(c_0(c_3(c_0(c_2(c_3(c_0(c_3(c_1(c_3(c_1(c_1(c_2(c_0(c_3(c_0(c_3(c_0(z0)))))))))))))))))) -> 1(0(1(0(2(3(0(3(0(3(0(3(3(1(0(2(1(3(z0))))))))))))))))))
   1(c_2(c_3(c_1(c_3(c_0(c_1(c_1(c_3(c_1(c_3(c_1(c_2(c_0(c_3(c_2(c_3(c_0(z0)))))))))))))))))) -> 1(1(3(2(1(3(3(0(2(0(3(3(1(1(3(2(0(1(z0))))))))))))))))))
   1(c_1(c_2(c_3(c_3(c_1(c_0(c_0(c_3(c_1(c_3(c_3(c_3(c_0(c_0(c_1(c_3(c_1(z0)))))))))))))))))) -> 1(3(0(2(3(3(3(1(1(0(3(3(3(0(1(1(0(1(z0))))))))))))))))))
   1(c_3(c_1(c_2(c_0(c_1(c_2(c_0(c_0(c_1(c_0(c_0(c_2(c_3(c_0(c_1(c_1(c_2(z0)))))))))))))))))) -> 1(3(2(2(0(2(1(0(1(0(0(1(2(0(1(1(3(0(z0))))))))))))))))))
   2(z0) -> c_2(z0)
   2(c_3(c_1(c_1(c_2(c_0(c_2(c_0(c_3(c_2(c_2(c_3(c_1(c_2(c_2(c_3(c_0(c_0(z0)))))))))))))))))) -> 2(2(2(2(1(3(0(2(0(3(2(1(0(1(0(3(2(3(z0))))))))))))))))))
   2(c_2(c_0(c_2(c_3(c_3(c_2(c_2(c_0(c_3(c_1(c_0(c_0(c_2(c_2(c_3(c_0(c_0(z0)))))))))))))))))) -> 2(2(0(0(3(3(2(3(2(3(2(0(2(0(0(0(1(2(z0))))))))))))))))))
   2(c_2(c_3(c_3(c_1(c_2(c_3(c_2(c_1(c_2(c_1(c_3(c_2(c_2(c_1(c_1(c_2(c_1(z0)))))))))))))))))) -> 2(1(1(1(2(2(3(2(3(3(3(2(1(2(1(2(2(1(z0))))))))))))))))))
   2(c_3(c_0(c_0(c_3(c_0(c_0(c_3(c_0(c_2(c_2(c_2(c_2(c_3(c_2(c_0(c_3(c_0(z0)))))))))))))))))) -> 2(2(3(0(2(0(0(2(0(3(3(2(3(3(2(0(0(0(z0))))))))))))))))))
   2(c_0(c_1(c_1(c_2(c_1(c_1(c_2(c_2(c_1(c_1(c_2(c_1(c_2(c_2(c_0(c_0(c_2(z0)))))))))))))))))) -> 2(0(2(1(2(1(0(2(2(2(1(2(1(0(2(1(1(1(z0))))))))))))))))))
   2(c_2(c_1(c_1(c_3(c_0(c_0(c_3(c_2(c_3(c_1(c_2(c_1(c_0(c_0(c_2(c_1(c_2(z0)))))))))))))))))) -> 2(1(0(0(2(1(0(3(3(2(2(1(1(1(0(3(2(2(z0))))))))))))))))))
   2(c_2(c_3(c_3(c_3(c_3(c_3(c_1(c_2(c_0(c_1(c_1(c_1(c_2(c_3(c_1(c_2(c_1(z0)))))))))))))))))) -> 1(3(3(3(2(0(1(2(1(2(1(3(2(3(3(2(1(1(z0))))))))))))))))))
   2(c_3(c_2(c_3(c_0(c_0(c_0(c_3(c_3(c_2(c_2(c_2(c_2(c_3(c_2(c_2(c_0(c_2(z0)))))))))))))))))) -> 2(3(3(2(3(2(0(2(2(0(0(3(2(0(2(2(3(2(z0))))))))))))))))))
   2(c_2(c_0(c_1(c_2(c_3(c_3(c_0(c_3(c_2(c_2(c_2(c_0(c_3(c_3(c_1(c_1(c_3(z0)))))))))))))))))) -> 2(1(3(2(0(3(3(0(2(1(1(3(2(0(3(2(2(3(z0))))))))))))))))))
   2(c_0(c_0(c_2(c_2(c_0(c_3(c_0(c_1(c_0(c_2(c_3(c_3(c_1(c_2(c_1(c_2(c_2(z0)))))))))))))))))) -> 2(0(1(2(2(3(0(3(3(2(0(1(2(2(1(0(2(0(z0))))))))))))))))))
   2(c_3(c_1(c_1(c_3(c_1(c_0(c_2(c_3(c_0(c_0(c_0(c_2(c_3(c_3(c_2(c_3(c_1(z0)))))))))))))))))) -> 2(3(3(2(0(2(1(0(3(3(0(3(1(0(1(2(3(1(z0))))))))))))))))))
   2(c_2(c_3(c_1(c_1(c_2(c_2(c_0(c_1(c_0(c_1(c_0(c_1(c_0(c_1(c_3(c_1(c_0(z0)))))))))))))))))) -> 2(0(1(0(1(1(0(3(2(1(1(0(2(2(3(1(1(0(z0))))))))))))))))))
   2(c_2(c_3(c_1(c_2(c_2(c_2(c_1(c_2(c_0(c_1(c_3(c_2(c_2(c_3(c_3(c_0(c_0(z0)))))))))))))))))) -> 2(1(2(2(3(3(2(2(0(1(0(2(2(3(1(0(2(3(z0))))))))))))))))))
   2(c_0(c_0(c_3(c_0(c_3(c_1(c_1(c_2(c_2(c_2(c_2(c_3(c_2(c_0(c_0(c_3(c_0(z0)))))))))))))))))) -> 2(0(3(0(1(3(2(2(3(0(1(3(2(2(0(2(0(0(z0))))))))))))))))))
   2(c_0(c_0(c_0(c_0(c_3(c_1(c_2(c_2(c_0(c_3(c_0(c_2(c_0(c_3(c_1(c_3(c_2(z0)))))))))))))))))) -> 2(0(1(0(2(3(2(0(3(3(2(3(0(2(1(0(0(0(z0))))))))))))))))))
   2(c_3(c_0(c_0(c_0(c_2(c_0(c_0(c_1(c_3(c_3(c_1(c_2(c_2(c_2(c_2(c_2(c_2(z0)))))))))))))))))) -> 2(1(2(2(3(0(0(3(0(3(2(0(0(2(2(1(2(2(z0))))))))))))))))))
   2(c_0(c_0(c_3(c_1(c_2(c_1(c_3(c_0(c_2(c_2(c_2(c_1(c_2(c_2(c_2(c_3(c_1(z0)))))))))))))))))) -> 2(1(0(3(2(2(1(2(3(2(2(0(3(2(2(0(1(1(z0))))))))))))))))))
   2(c_1(c_2(c_0(c_2(c_1(c_3(c_0(c_1(c_2(c_1(c_0(c_2(c_1(c_3(c_1(c_2(c_0(z0)))))))))))))))))) -> 2(1(2(3(1(0(1(0(0(2(1(1(3(2(0(2(1(2(z0))))))))))))))))))
   2(c_3(c_0(c_3(c_1(c_1(c_2(c_3(c_1(c_3(c_2(c_0(c_1(c_2(c_2(c_1(c_3(c_0(z0)))))))))))))))))) -> 2(1(1(0(1(2(1(3(3(3(2(2(0(2(1(3(3(0(z0))))))))))))))))))
   3(z0) -> c_3(z0)
   3(c_2(c_1(c_1(c_1(c_3(c_1(c_1(c_2(c_2(c_1(c_2(c_1(c_1(c_2(c_3(c_0(c_1(z0)))))))))))))))))) -> 3(2(1(1(1(1(1(0(3(2(2(2(1(2(3(1(1(1(z0))))))))))))))))))
   3(c_1(c_2(c_1(c_0(c_3(c_1(c_1(c_2(c_2(c_3(c_0(c_2(c_2(c_3(c_0(c_2(c_0(z0)))))))))))))))))) -> 3(1(1(1(2(2(2(0(3(2(0(3(2(3(2(0(0(1(z0))))))))))))))))))
   3(c_3(c_1(c_1(c_3(c_1(c_0(c_1(c_3(c_1(c_2(c_3(c_3(c_3(c_1(c_1(c_3(c_0(z0)))))))))))))))))) -> 3(3(1(0(3(3(1(3(3(3(3(1(1(1(1(2(0(1(z0))))))))))))))))))
   3(c_1(c_3(c_0(c_3(c_0(c_3(c_2(c_2(c_3(c_0(c_2(c_3(c_1(c_2(c_1(c_0(c_2(z0)))))))))))))))))) -> 3(0(2(2(3(2(0(1(3(1(0(2(1(3(3(2(0(3(z0))))))))))))))))))
   3(c_0(c_2(c_0(c_3(c_3(c_0(c_0(c_2(c_2(c_0(c_1(c_0(c_3(c_3(c_1(c_3(c_1(z0)))))))))))))))))) -> 3(0(2(1(0(1(3(3(2(0(0(3(0(3(2(3(1(0(z0))))))))))))))))))
   3(c_3(c_0(c_2(c_1(c_2(c_2(c_0(c_0(c_1(c_3(c_2(c_0(c_0(c_1(c_2(c_3(c_0(z0)))))))))))))))))) -> 0(0(1(1(0(2(2(3(3(2(1(0(0(2(3(3(2(0(z0))))))))))))))))))
   3(c_3(c_0(c_2(c_0(c_2(c_0(c_3(c_3(c_3(c_1(c_0(c_2(c_2(c_2(c_3(c_3(c_0(z0)))))))))))))))))) -> 3(2(2(1(0(3(2(0(0(2(3(3(2(3(3(0(0(3(z0))))))))))))))))))
   3(c_0(c_1(c_0(c_3(c_1(c_2(c_2(c_0(c_1(c_1(c_1(c_3(c_3(c_0(c_2(c_3(c_0(z0)))))))))))))))))) -> 0(3(3(2(1(0(0(2(3(3(1(1(0(1(1(3(2(0(z0))))))))))))))))))
   3(c_1(c_2(c_0(c_1(c_2(c_0(c_3(c_1(c_2(c_1(c_0(c_0(c_2(c_0(c_3(c_0(c_2(z0)))))))))))))))))) -> 3(1(0(2(2(1(3(0(0(2(0(3(2(1(1(0(2(0(z0))))))))))))))))))
   3(c_1(c_3(c_1(c_1(c_3(c_0(c_2(c_0(c_0(c_3(c_0(c_2(c_3(c_1(c_2(c_2(c_2(z0)))))))))))))))))) -> 3(1(3(1(0(3(3(2(1(2(1(2(0(2(3(2(0(0(z0))))))))))))))))))
   3(c_0(c_1(c_2(c_2(c_3(c_0(c_1(c_2(c_1(c_3(c_1(c_3(c_3(c_3(c_1(c_1(c_3(z0)))))))))))))))))) -> 0(2(1(3(3(3(2(1(1(0(1(3(3(2(1(1(3(3(z0))))))))))))))))))
   3(c_0(c_2(c_0(c_3(c_1(c_1(c_3(c_2(c_1(c_3(c_0(c_2(c_0(c_2(c_1(c_1(c_3(z0)))))))))))))))))) -> 1(3(3(2(0(0(0(1(3(3(2(0(1(1(2(1(2(3(z0))))))))))))))))))
   3(c_3(c_0(c_3(c_0(c_0(c_2(c_3(c_0(c_2(c_3(c_3(c_1(c_2(c_2(c_2(c_2(c_0(z0)))))))))))))))))) -> 3(3(0(0(3(2(3(2(0(0(0(2(3(2(1(2(3(2(z0))))))))))))))))))
   3(c_3(c_3(c_3(c_3(c_0(c_3(c_1(c_1(c_3(c_2(c_1(c_1(c_3(c_2(c_2(c_0(c_2(z0)))))))))))))))))) -> 3(3(1(0(1(2(3(2(0(1(1(3(3(3(3(2(3(2(z0))))))))))))))))))
   3(c_2(c_2(c_3(c_0(c_0(c_3(c_0(c_0(c_2(c_3(c_0(c_1(c_1(c_1(c_1(c_3(c_0(z0)))))))))))))))))) -> 3(2(0(3(2(3(0(1(0(1(1(0(3(1(3(0(2(0(z0))))))))))))))))))
   3(c_1(c_3(c_1(c_1(c_3(c_3(c_3(c_2(c_1(c_2(c_3(c_0(c_2(c_1(c_2(c_3(c_0(z0)))))))))))))))))) -> 3(3(3(2(0(1(3(2(0(1(3(3(1(2(1(1(2(3(z0))))))))))))))))))
   3(c_0(c_2(c_2(c_0(c_0(c_1(c_2(c_3(c_0(c_0(c_1(c_1(c_2(c_0(c_1(c_2(c_2(z0)))))))))))))))))) -> 2(3(0(2(3(1(1(0(2(0(2(1(1(0(0(2(0(2(z0))))))))))))))))))
Tuples:
   0'(c_0(c_0(c_1(c_0(c_0(c_0(c_2(c_1(c_1(c_2(c_0(c_1(c_0(c_1(c_2(c_0(c_0(z0)))))))))))))))))) -> c9(0'(1(0(1(1(0(0(2(1(1(0(0(2(0(2(0(0(0(z0)))))))))))))))))), 1'(0(1(1(0(0(2(1(1(0(0(2(0(2(0(0(0(z0))))))))))))))))), 0'(1(1(0(0(2(1(1(0(0(2(0(2(0(0(0(z0)))))))))))))))), 1'(1(0(0(2(1(1(0(0(2(0(2(0(0(0(z0))))))))))))))), 1'(0(0(2(1(1(0(0(2(0(2(0(0(0(z0)))))))))))))), 0'(0(2(1(1(0(0(2(0(2(0(0(0(z0))))))))))))), 0'(2(1(1(0(0(2(0(2(0(0(0(z0)))))))))))), 2'(1(1(0(0(2(0(2(0(0(0(z0))))))))))), 1'(1(0(0(2(0(2(0(0(0(z0)))))))))), 1'(0(0(2(0(2(0(0(0(z0))))))))), 0'(0(2(0(2(0(0(0(z0)))))))), 0'(2(0(2(0(0(0(z0))))))), 2'(0(2(0(0(0(z0)))))), 0'(2(0(0(0(z0))))), 2'(0(0(0(z0)))), 0'(0(0(z0))), 0'(0(z0)), 0'(z0))
   0'(c_0(c_1(c_3(c_2(c_1(c_0(c_0(c_3(c_2(c_3(c_1(c_3(c_0(c_0(c_2(c_0(c_0(z0)))))))))))))))))) -> c10(0'(0(2(3(2(0(1(0(2(1(0(1(0(3(0(3(0(3(z0)))))))))))))))))), 0'(2(3(2(0(1(0(2(1(0(1(0(3(0(3(0(3(z0))))))))))))))))), 2'(3(2(0(1(0(2(1(0(1(0(3(0(3(0(3(z0)))))))))))))))), 3'(2(0(1(0(2(1(0(1(0(3(0(3(0(3(z0))))))))))))))), 2'(0(1(0(2(1(0(1(0(3(0(3(0(3(z0)))))))))))))), 0'(1(0(2(1(0(1(0(3(0(3(0(3(z0))))))))))))), 1'(0(2(1(0(1(0(3(0(3(0(3(z0)))))))))))), 0'(2(1(0(1(0(3(0(3(0(3(z0))))))))))), 2'(1(0(1(0(3(0(3(0(3(z0)))))))))), 1'(0(1(0(3(0(3(0(3(z0))))))))), 0'(1(0(3(0(3(0(3(z0)))))))), 1'(0(3(0(3(0(3(z0))))))), 0'(3(0(3(0(3(z0)))))), 3'(0(3(0(3(z0))))), 0'(3(0(3(z0)))), 3'(0(3(z0))), 0'(3(z0)), 3'(z0))
   0'(c_3(c_1(c_2(c_3(c_1(c_0(c_3(c_3(c_3(c_1(c_3(c_0(c_3(c_2(c_2(c_1(c_2(z0)))))))))))))))))) -> c11(1'(0(3(1(0(3(3(3(3(2(3(2(3(2(0(2(1(1(z0)))))))))))))))))), 0'(3(1(0(3(3(3(3(2(3(2(3(2(0(2(1(1(z0))))))))))))))))), 3'(1(0(3(3(3(3(2(3(2(3(2(0(2(1(1(z0)))))))))))))))), 1'(0(3(3(3(3(2(3(2(3(2(0(2(1(1(z0))))))))))))))), 0'(3(3(3(3(2(3(2(3(2(0(2(1(1(z0)))))))))))))), 3'(3(3(3(2(3(2(3(2(0(2(1(1(z0))))))))))))), 3'(3(3(2(3(2(3(2(0(2(1(1(z0)))))))))))), 3'(3(2(3(2(3(2(0(2(1(1(z0))))))))))), 3'(2(3(2(3(2(0(2(1(1(z0)))))))))), 2'(3(2(3(2(0(2(1(1(z0))))))))), 3'(2(3(2(0(2(1(1(z0)))))))), 2'(3(2(0(2(1(1(z0))))))), 3'(2(0(2(1(1(z0)))))), 2'(0(2(1(1(z0))))), 0'(2(1(1(z0)))), 2'(1(1(z0))), 1'(1(z0)), 1'(z0))
   0'(c_0(c_3(c_0(c_3(c_1(c_2(c_0(c_3(c_0(c_3(c_1(c_0(c_0(c_1(c_0(c_1(c_3(z0)))))))))))))))))) -> c12(0'(3(0(0(3(3(0(1(0(3(0(1(0(0(2(1(1(3(z0)))))))))))))))))), 3'(0(0(3(3(0(1(0(3(0(1(0(0(2(1(1(3(z0))))))))))))))))), 0'(0(3(3(0(1(0(3(0(1(0(0(2(1(1(3(z0)))))))))))))))), 0'(3(3(0(1(0(3(0(1(0(0(2(1(1(3(z0))))))))))))))), 3'(3(0(1(0(3(0(1(0(0(2(1(1(3(z0)))))))))))))), 3'(0(1(0(3(0(1(0(0(2(1(1(3(z0))))))))))))), 0'(1(0(3(0(1(0(0(2(1(1(3(z0)))))))))))), 1'(0(3(0(1(0(0(2(1(1(3(z0))))))))))), 0'(3(0(1(0(0(2(1(1(3(z0)))))))))), 3'(0(1(0(0(2(1(1(3(z0))))))))), 0'(1(0(0(2(1(1(3(z0)))))))), 1'(0(0(2(1(1(3(z0))))))), 0'(0(2(1(1(3(z0)))))), 0'(2(1(1(3(z0))))), 2'(1(1(3(z0)))), 1'(1(3(z0))), 1'(3(z0)), 3'(z0))
   0'(c_2(c_3(c_3(c_1(c_0(c_3(c_0(c_0(c_0(c_2(c_0(c_1(c_3(c_1(c_3(c_3(c_0(z0)))))))))))))))))) -> c13(0'(3(0(3(3(2(3(2(3(0(0(0(0(1(1(1(3(0(z0)))))))))))))))))), 3'(0(3(3(2(3(2(3(0(0(0(0(1(1(1(3(0(z0))))))))))))))))), 0'(3(3(2(3(2(3(0(0(0(0(1(1(1(3(0(z0)))))))))))))))), 3'(3(2(3(2(3(0(0(0(0(1(1(1(3(0(z0))))))))))))))), 3'(2(3(2(3(0(0(0(0(1(1(1(3(0(z0)))))))))))))), 2'(3(2(3(0(0(0(0(1(1(1(3(0(z0))))))))))))), 3'(2(3(0(0(0(0(1(1(1(3(0(z0)))))))))))), 2'(3(0(0(0(0(1(1(1(3(0(z0))))))))))), 3'(0(0(0(0(1(1(1(3(0(z0)))))))))), 0'(0(0(0(1(1(1(3(0(z0))))))))), 0'(0(0(1(1(1(3(0(z0)))))))), 0'(0(1(1(1(3(0(z0))))))), 0'(1(1(1(3(0(z0)))))), 1'(1(1(3(0(z0))))), 1'(1(3(0(z0)))), 1'(3(0(z0))), 3'(0(z0)), 0'(z0))
   0'(c_0(c_1(c_3(c_1(c_0(c_3(c_1(c_1(c_3(c_1(c_2(c_3(c_1(c_2(c_2(c_1(c_1(z0)))))))))))))))))) -> c14(0'(3(0(2(1(0(3(2(1(1(2(1(3(1(3(1(1(1(z0)))))))))))))))))), 3'(0(2(1(0(3(2(1(1(2(1(3(1(3(1(1(1(z0))))))))))))))))), 0'(2(1(0(3(2(1(1(2(1(3(1(3(1(1(1(z0)))))))))))))))), 2'(1(0(3(2(1(1(2(1(3(1(3(1(1(1(z0))))))))))))))), 1'(0(3(2(1(1(2(1(3(1(3(1(1(1(z0)))))))))))))), 0'(3(2(1(1(2(1(3(1(3(1(1(1(z0))))))))))))), 3'(2(1(1(2(1(3(1(3(1(1(1(z0)))))))))))), 2'(1(1(2(1(3(1(3(1(1(1(z0))))))))))), 1'(1(2(1(3(1(3(1(1(1(z0)))))))))), 1'(2(1(3(1(3(1(1(1(z0))))))))), 2'(1(3(1(3(1(1(1(z0)))))))), 1'(3(1(3(1(1(1(z0))))))), 3'(1(3(1(1(1(z0)))))), 1'(3(1(1(1(z0))))), 3'(1(1(1(z0)))), 1'(1(1(z0))), 1'(1(z0)), 1'(z0))
   0'(c_0(c_3(c_2(c_1(c_3(c_1(c_3(c_3(c_0(c_1(c_2(c_0(c_0(c_0(c_2(c_0(c_2(z0)))))))))))))))))) -> c15(0'(3(0(0(2(1(3(1(2(3(2(1(0(0(0(3(2(0(z0)))))))))))))))))), 3'(0(0(2(1(3(1(2(3(2(1(0(0(0(3(2(0(z0))))))))))))))))), 0'(0(2(1(3(1(2(3(2(1(0(0(0(3(2(0(z0)))))))))))))))), 0'(2(1(3(1(2(3(2(1(0(0(0(3(2(0(z0))))))))))))))), 2'(1(3(1(2(3(2(1(0(0(0(3(2(0(z0)))))))))))))), 1'(3(1(2(3(2(1(0(0(0(3(2(0(z0))))))))))))), 3'(1(2(3(2(1(0(0(0(3(2(0(z0)))))))))))), 1'(2(3(2(1(0(0(0(3(2(0(z0))))))))))), 2'(3(2(1(0(0(0(3(2(0(z0)))))))))), 3'(2(1(0(0(0(3(2(0(z0))))))))), 2'(1(0(0(0(3(2(0(z0)))))))), 1'(0(0(0(3(2(0(z0))))))), 0'(0(0(3(2(0(z0)))))), 0'(0(3(2(0(z0))))), 0'(3(2(0(z0)))), 3'(2(0(z0))), 2'(0(z0)), 0'(z0))
   0'(c_3(c_3(c_3(c_1(c_2(c_0(c_0(c_3(c_2(c_0(c_1(c_2(c_1(c_3(c_0(c_2(c_0(z0)))))))))))))))))) -> c16(0'(2(1(0(1(0(1(0(0(3(3(2(3(0(2(3(2(3(z0)))))))))))))))))), 2'(1(0(1(0(1(0(0(3(3(2(3(0(2(3(2(3(z0))))))))))))))))), 1'(0(1(0(1(0(0(3(3(2(3(0(2(3(2(3(z0)))))))))))))))), 0'(1(0(1(0(0(3(3(2(3(0(2(3(2(3(z0))))))))))))))), 1'(0(1(0(0(3(3(2(3(0(2(3(2(3(z0)))))))))))))), 0'(1(0(0(3(3(2(3(0(2(3(2(3(z0))))))))))))), 1'(0(0(3(3(2(3(0(2(3(2(3(z0)))))))))))), 0'(0(3(3(2(3(0(2(3(2(3(z0))))))))))), 0'(3(3(2(3(0(2(3(2(3(z0)))))))))), 3'(3(2(3(0(2(3(2(3(z0))))))))), 3'(2(3(0(2(3(2(3(z0)))))))), 2'(3(0(2(3(2(3(z0))))))), 3'(0(2(3(2(3(z0)))))), 0'(2(3(2(3(z0))))), 2'(3(2(3(z0)))), 3'(2(3(z0))), 2'(3(z0)), 3'(z0))
   0'(c_0(c_1(c_2(c_0(c_0(c_3(c_3(c_2(c_1(c_3(c_3(c_3(c_1(c_1(c_1(c_1(c_2(z0)))))))))))))))))) -> c17(0'(0(3(3(1(0(2(3(2(1(1(3(1(1(1(3(2(0(z0)))))))))))))))))), 0'(3(3(1(0(2(3(2(1(1(3(1(1(1(3(2(0(z0))))))))))))))))), 3'(3(1(0(2(3(2(1(1(3(1(1(1(3(2(0(z0)))))))))))))))), 3'(1(0(2(3(2(1(1(3(1(1(1(3(2(0(z0))))))))))))))), 1'(0(2(3(2(1(1(3(1(1(1(3(2(0(z0)))))))))))))), 0'(2(3(2(1(1(3(1(1(1(3(2(0(z0))))))))))))), 2'(3(2(1(1(3(1(1(1(3(2(0(z0)))))))))))), 3'(2(1(1(3(1(1(1(3(2(0(z0))))))))))), 2'(1(1(3(1(1(1(3(2(0(z0)))))))))), 1'(1(3(1(1(1(3(2(0(z0))))))))), 1'(3(1(1(1(3(2(0(z0)))))))), 3'(1(1(1(3(2(0(z0))))))), 1'(1(1(3(2(0(z0)))))), 1'(1(3(2(0(z0))))), 1'(3(2(0(z0)))), 3'(2(0(z0))), 2'(0(z0)), 0'(z0))
   0'(c_0(c_1(c_1(c_1(c_3(c_2(c_2(c_2(c_1(c_3(c_2(c_3(c_0(c_0(c_0(c_0(c_0(z0)))))))))))))))))) -> c18(1'(0(0(3(2(0(1(3(2(0(0(2(3(1(0(2(1(0(z0)))))))))))))))))), 0'(0(3(2(0(1(3(2(0(0(2(3(1(0(2(1(0(z0))))))))))))))))), 0'(3(2(0(1(3(2(0(0(2(3(1(0(2(1(0(z0)))))))))))))))), 3'(2(0(1(3(2(0(0(2(3(1(0(2(1(0(z0))))))))))))))), 2'(0(1(3(2(0(0(2(3(1(0(2(1(0(z0)))))))))))))), 0'(1(3(2(0(0(2(3(1(0(2(1(0(z0))))))))))))), 1'(3(2(0(0(2(3(1(0(2(1(0(z0)))))))))))), 3'(2(0(0(2(3(1(0(2(1(0(z0))))))))))), 2'(0(0(2(3(1(0(2(1(0(z0)))))))))), 0'(0(2(3(1(0(2(1(0(z0))))))))), 0'(2(3(1(0(2(1(0(z0)))))))), 2'(3(1(0(2(1(0(z0))))))), 3'(1(0(2(1(0(z0)))))), 1'(0(2(1(0(z0))))), 0'(2(1(0(z0)))), 2'(1(0(z0))), 1'(0(z0)), 0'(z0))
   0'(c_3(c_0(c_3(c_2(c_2(c_0(c_3(c_3(c_1(c_0(c_0(c_3(c_0(c_3(c_0(c_1(c_0(z0)))))))))))))))))) -> c19(0'(3(0(0(3(3(3(2(1(3(2(0(0(1(3(0(0(0(z0)))))))))))))))))), 3'(0(0(3(3(3(2(1(3(2(0(0(1(3(0(0(0(z0))))))))))))))))), 0'(0(3(3(3(2(1(3(2(0(0(1(3(0(0(0(z0)))))))))))))))), 0'(3(3(3(2(1(3(2(0(0(1(3(0(0(0(z0))))))))))))))), 3'(3(3(2(1(3(2(0(0(1(3(0(0(0(z0)))))))))))))), 3'(3(2(1(3(2(0(0(1(3(0(0(0(z0))))))))))))), 3'(2(1(3(2(0(0(1(3(0(0(0(z0)))))))))))), 2'(1(3(2(0(0(1(3(0(0(0(z0))))))))))), 1'(3(2(0(0(1(3(0(0(0(z0)))))))))), 3'(2(0(0(1(3(0(0(0(z0))))))))), 2'(0(0(1(3(0(0(0(z0)))))))), 0'(0(1(3(0(0(0(z0))))))), 0'(1(3(0(0(0(z0)))))), 1'(3(0(0(0(z0))))), 3'(0(0(0(z0)))), 0'(0(0(z0))), 0'(0(z0)), 0'(z0))
   0'(c_0(c_0(c_3(c_0(c_3(c_0(c_1(c_2(c_1(c_0(c_0(c_0(c_1(c_2(c_3(c_3(c_3(z0)))))))))))))))))) -> c20(0'(0(0(2(3(0(0(0(0(1(1(3(1(0(2(3(3(3(z0)))))))))))))))))), 0'(0(2(3(0(0(0(0(1(1(3(1(0(2(3(3(3(z0))))))))))))))))), 0'(2(3(0(0(0(0(1(1(3(1(0(2(3(3(3(z0)))))))))))))))), 2'(3(0(0(0(0(1(1(3(1(0(2(3(3(3(z0))))))))))))))), 3'(0(0(0(0(1(1(3(1(0(2(3(3(3(z0)))))))))))))), 0'(0(0(0(1(1(3(1(0(2(3(3(3(z0))))))))))))), 0'(0(0(1(1(3(1(0(2(3(3(3(z0)))))))))))), 0'(0(1(1(3(1(0(2(3(3(3(z0))))))))))), 0'(1(1(3(1(0(2(3(3(3(z0)))))))))), 1'(1(3(1(0(2(3(3(3(z0))))))))), 1'(3(1(0(2(3(3(3(z0)))))))), 3'(1(0(2(3(3(3(z0))))))), 1'(0(2(3(3(3(z0)))))), 0'(2(3(3(3(z0))))), 2'(3(3(3(z0)))), 3'(3(3(z0))), 3'(3(z0)), 3'(z0))
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   3'(c_2(c_2(c_3(c_0(c_0(c_3(c_0(c_0(c_2(c_3(c_0(c_1(c_1(c_1(c_1(c_3(c_0(z0)))))))))))))))))) -> c89(3'(2(0(3(2(3(0(1(0(1(1(0(3(1(3(0(2(0(z0)))))))))))))))))), 2'(0(3(2(3(0(1(0(1(1(0(3(1(3(0(2(0(z0))))))))))))))))), 0'(3(2(3(0(1(0(1(1(0(3(1(3(0(2(0(z0)))))))))))))))), 3'(2(3(0(1(0(1(1(0(3(1(3(0(2(0(z0))))))))))))))), 2'(3(0(1(0(1(1(0(3(1(3(0(2(0(z0)))))))))))))), 3'(0(1(0(1(1(0(3(1(3(0(2(0(z0))))))))))))), 0'(1(0(1(1(0(3(1(3(0(2(0(z0)))))))))))), 1'(0(1(1(0(3(1(3(0(2(0(z0))))))))))), 0'(1(1(0(3(1(3(0(2(0(z0)))))))))), 1'(1(0(3(1(3(0(2(0(z0))))))))), 1'(0(3(1(3(0(2(0(z0)))))))), 0'(3(1(3(0(2(0(z0))))))), 3'(1(3(0(2(0(z0)))))), 1'(3(0(2(0(z0))))), 3'(0(2(0(z0)))), 0'(2(0(z0))), 2'(0(z0)), 0'(z0))
   3'(c_1(c_3(c_1(c_1(c_3(c_3(c_3(c_2(c_1(c_2(c_3(c_0(c_2(c_1(c_2(c_3(c_0(z0)))))))))))))))))) -> c90(3'(3(3(2(0(1(3(2(0(1(3(3(1(2(1(1(2(3(z0)))))))))))))))))), 3'(3(2(0(1(3(2(0(1(3(3(1(2(1(1(2(3(z0))))))))))))))))), 3'(2(0(1(3(2(0(1(3(3(1(2(1(1(2(3(z0)))))))))))))))), 2'(0(1(3(2(0(1(3(3(1(2(1(1(2(3(z0))))))))))))))), 0'(1(3(2(0(1(3(3(1(2(1(1(2(3(z0)))))))))))))), 1'(3(2(0(1(3(3(1(2(1(1(2(3(z0))))))))))))), 3'(2(0(1(3(3(1(2(1(1(2(3(z0)))))))))))), 2'(0(1(3(3(1(2(1(1(2(3(z0))))))))))), 0'(1(3(3(1(2(1(1(2(3(z0)))))))))), 1'(3(3(1(2(1(1(2(3(z0))))))))), 3'(3(1(2(1(1(2(3(z0)))))))), 3'(1(2(1(1(2(3(z0))))))), 1'(2(1(1(2(3(z0)))))), 2'(1(1(2(3(z0))))), 1'(1(2(3(z0)))), 1'(2(3(z0))), 2'(3(z0)), 3'(z0))
   3'(c_0(c_2(c_2(c_0(c_0(c_1(c_2(c_3(c_0(c_0(c_1(c_1(c_2(c_0(c_1(c_2(c_2(z0)))))))))))))))))) -> c91(2'(3(0(2(3(1(1(0(2(0(2(1(1(0(0(2(0(2(z0)))))))))))))))))), 3'(0(2(3(1(1(0(2(0(2(1(1(0(0(2(0(2(z0))))))))))))))))), 0'(2(3(1(1(0(2(0(2(1(1(0(0(2(0(2(z0)))))))))))))))), 2'(3(1(1(0(2(0(2(1(1(0(0(2(0(2(z0))))))))))))))), 3'(1(1(0(2(0(2(1(1(0(0(2(0(2(z0)))))))))))))), 1'(1(0(2(0(2(1(1(0(0(2(0(2(z0))))))))))))), 1'(0(2(0(2(1(1(0(0(2(0(2(z0)))))))))))), 0'(2(0(2(1(1(0(0(2(0(2(z0))))))))))), 2'(0(2(1(1(0(0(2(0(2(z0)))))))))), 0'(2(1(1(0(0(2(0(2(z0))))))))), 2'(1(1(0(0(2(0(2(z0)))))))), 1'(1(0(0(2(0(2(z0))))))), 1'(0(0(2(0(2(z0)))))), 0'(0(2(0(2(z0))))), 0'(2(0(2(z0)))), 2'(0(2(z0))), 0'(2(z0)), 2'(z0))
   ENCODE_0(z0) -> c8(0'(encArg(z0)))
   ENCODE_3(z0) -> c8(3'(encArg(z0)))
   ENCODE_1(z0) -> c8(1'(encArg(z0)))
   ENCODE_2(z0) -> c8(2'(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:
   0'(c_0(c_0(c_1(c_0(c_0(c_0(c_2(c_1(c_1(c_2(c_0(c_1(c_0(c_1(c_2(c_0(c_0(z0)))))))))))))))))) -> c9(0'(1(0(1(1(0(0(2(1(1(0(0(2(0(2(0(0(0(z0)))))))))))))))))), 1'(0(1(1(0(0(2(1(1(0(0(2(0(2(0(0(0(z0))))))))))))))))), 0'(1(1(0(0(2(1(1(0(0(2(0(2(0(0(0(z0)))))))))))))))), 1'(1(0(0(2(1(1(0(0(2(0(2(0(0(0(z0))))))))))))))), 1'(0(0(2(1(1(0(0(2(0(2(0(0(0(z0)))))))))))))), 0'(0(2(1(1(0(0(2(0(2(0(0(0(z0))))))))))))), 0'(2(1(1(0(0(2(0(2(0(0(0(z0)))))))))))), 2'(1(1(0(0(2(0(2(0(0(0(z0))))))))))), 1'(1(0(0(2(0(2(0(0(0(z0)))))))))), 1'(0(0(2(0(2(0(0(0(z0))))))))), 0'(0(2(0(2(0(0(0(z0)))))))), 0'(2(0(2(0(0(0(z0))))))), 2'(0(2(0(0(0(z0)))))), 0'(2(0(0(0(z0))))), 2'(0(0(0(z0)))), 0'(0(0(z0))), 0'(0(z0)), 0'(z0))
   0'(c_0(c_1(c_3(c_2(c_1(c_0(c_0(c_3(c_2(c_3(c_1(c_3(c_0(c_0(c_2(c_0(c_0(z0)))))))))))))))))) -> c10(0'(0(2(3(2(0(1(0(2(1(0(1(0(3(0(3(0(3(z0)))))))))))))))))), 0'(2(3(2(0(1(0(2(1(0(1(0(3(0(3(0(3(z0))))))))))))))))), 2'(3(2(0(1(0(2(1(0(1(0(3(0(3(0(3(z0)))))))))))))))), 3'(2(0(1(0(2(1(0(1(0(3(0(3(0(3(z0))))))))))))))), 2'(0(1(0(2(1(0(1(0(3(0(3(0(3(z0)))))))))))))), 0'(1(0(2(1(0(1(0(3(0(3(0(3(z0))))))))))))), 1'(0(2(1(0(1(0(3(0(3(0(3(z0)))))))))))), 0'(2(1(0(1(0(3(0(3(0(3(z0))))))))))), 2'(1(0(1(0(3(0(3(0(3(z0)))))))))), 1'(0(1(0(3(0(3(0(3(z0))))))))), 0'(1(0(3(0(3(0(3(z0)))))))), 1'(0(3(0(3(0(3(z0))))))), 0'(3(0(3(0(3(z0)))))), 3'(0(3(0(3(z0))))), 0'(3(0(3(z0)))), 3'(0(3(z0))), 0'(3(z0)), 3'(z0))
   0'(c_3(c_1(c_2(c_3(c_1(c_0(c_3(c_3(c_3(c_1(c_3(c_0(c_3(c_2(c_2(c_1(c_2(z0)))))))))))))))))) -> c11(1'(0(3(1(0(3(3(3(3(2(3(2(3(2(0(2(1(1(z0)))))))))))))))))), 0'(3(1(0(3(3(3(3(2(3(2(3(2(0(2(1(1(z0))))))))))))))))), 3'(1(0(3(3(3(3(2(3(2(3(2(0(2(1(1(z0)))))))))))))))), 1'(0(3(3(3(3(2(3(2(3(2(0(2(1(1(z0))))))))))))))), 0'(3(3(3(3(2(3(2(3(2(0(2(1(1(z0)))))))))))))), 3'(3(3(3(2(3(2(3(2(0(2(1(1(z0))))))))))))), 3'(3(3(2(3(2(3(2(0(2(1(1(z0)))))))))))), 3'(3(2(3(2(3(2(0(2(1(1(z0))))))))))), 3'(2(3(2(3(2(0(2(1(1(z0)))))))))), 2'(3(2(3(2(0(2(1(1(z0))))))))), 3'(2(3(2(0(2(1(1(z0)))))))), 2'(3(2(0(2(1(1(z0))))))), 3'(2(0(2(1(1(z0)))))), 2'(0(2(1(1(z0))))), 0'(2(1(1(z0)))), 2'(1(1(z0))), 1'(1(z0)), 1'(z0))
   0'(c_0(c_3(c_0(c_3(c_1(c_2(c_0(c_3(c_0(c_3(c_1(c_0(c_0(c_1(c_0(c_1(c_3(z0)))))))))))))))))) -> c12(0'(3(0(0(3(3(0(1(0(3(0(1(0(0(2(1(1(3(z0)))))))))))))))))), 3'(0(0(3(3(0(1(0(3(0(1(0(0(2(1(1(3(z0))))))))))))))))), 0'(0(3(3(0(1(0(3(0(1(0(0(2(1(1(3(z0)))))))))))))))), 0'(3(3(0(1(0(3(0(1(0(0(2(1(1(3(z0))))))))))))))), 3'(3(0(1(0(3(0(1(0(0(2(1(1(3(z0)))))))))))))), 3'(0(1(0(3(0(1(0(0(2(1(1(3(z0))))))))))))), 0'(1(0(3(0(1(0(0(2(1(1(3(z0)))))))))))), 1'(0(3(0(1(0(0(2(1(1(3(z0))))))))))), 0'(3(0(1(0(0(2(1(1(3(z0)))))))))), 3'(0(1(0(0(2(1(1(3(z0))))))))), 0'(1(0(0(2(1(1(3(z0)))))))), 1'(0(0(2(1(1(3(z0))))))), 0'(0(2(1(1(3(z0)))))), 0'(2(1(1(3(z0))))), 2'(1(1(3(z0)))), 1'(1(3(z0))), 1'(3(z0)), 3'(z0))
   0'(c_2(c_3(c_3(c_1(c_0(c_3(c_0(c_0(c_0(c_2(c_0(c_1(c_3(c_1(c_3(c_3(c_0(z0)))))))))))))))))) -> c13(0'(3(0(3(3(2(3(2(3(0(0(0(0(1(1(1(3(0(z0)))))))))))))))))), 3'(0(3(3(2(3(2(3(0(0(0(0(1(1(1(3(0(z0))))))))))))))))), 0'(3(3(2(3(2(3(0(0(0(0(1(1(1(3(0(z0)))))))))))))))), 3'(3(2(3(2(3(0(0(0(0(1(1(1(3(0(z0))))))))))))))), 3'(2(3(2(3(0(0(0(0(1(1(1(3(0(z0)))))))))))))), 2'(3(2(3(0(0(0(0(1(1(1(3(0(z0))))))))))))), 3'(2(3(0(0(0(0(1(1(1(3(0(z0)))))))))))), 2'(3(0(0(0(0(1(1(1(3(0(z0))))))))))), 3'(0(0(0(0(1(1(1(3(0(z0)))))))))), 0'(0(0(0(1(1(1(3(0(z0))))))))), 0'(0(0(1(1(1(3(0(z0)))))))), 0'(0(1(1(1(3(0(z0))))))), 0'(1(1(1(3(0(z0)))))), 1'(1(1(3(0(z0))))), 1'(1(3(0(z0)))), 1'(3(0(z0))), 3'(0(z0)), 0'(z0))
   0'(c_0(c_1(c_3(c_1(c_0(c_3(c_1(c_1(c_3(c_1(c_2(c_3(c_1(c_2(c_2(c_1(c_1(z0)))))))))))))))))) -> c14(0'(3(0(2(1(0(3(2(1(1(2(1(3(1(3(1(1(1(z0)))))))))))))))))), 3'(0(2(1(0(3(2(1(1(2(1(3(1(3(1(1(1(z0))))))))))))))))), 0'(2(1(0(3(2(1(1(2(1(3(1(3(1(1(1(z0)))))))))))))))), 2'(1(0(3(2(1(1(2(1(3(1(3(1(1(1(z0))))))))))))))), 1'(0(3(2(1(1(2(1(3(1(3(1(1(1(z0)))))))))))))), 0'(3(2(1(1(2(1(3(1(3(1(1(1(z0))))))))))))), 3'(2(1(1(2(1(3(1(3(1(1(1(z0)))))))))))), 2'(1(1(2(1(3(1(3(1(1(1(z0))))))))))), 1'(1(2(1(3(1(3(1(1(1(z0)))))))))), 1'(2(1(3(1(3(1(1(1(z0))))))))), 2'(1(3(1(3(1(1(1(z0)))))))), 1'(3(1(3(1(1(1(z0))))))), 3'(1(3(1(1(1(z0)))))), 1'(3(1(1(1(z0))))), 3'(1(1(1(z0)))), 1'(1(1(z0))), 1'(1(z0)), 1'(z0))
   0'(c_0(c_3(c_2(c_1(c_3(c_1(c_3(c_3(c_0(c_1(c_2(c_0(c_0(c_0(c_2(c_0(c_2(z0)))))))))))))))))) -> c15(0'(3(0(0(2(1(3(1(2(3(2(1(0(0(0(3(2(0(z0)))))))))))))))))), 3'(0(0(2(1(3(1(2(3(2(1(0(0(0(3(2(0(z0))))))))))))))))), 0'(0(2(1(3(1(2(3(2(1(0(0(0(3(2(0(z0)))))))))))))))), 0'(2(1(3(1(2(3(2(1(0(0(0(3(2(0(z0))))))))))))))), 2'(1(3(1(2(3(2(1(0(0(0(3(2(0(z0)))))))))))))), 1'(3(1(2(3(2(1(0(0(0(3(2(0(z0))))))))))))), 3'(1(2(3(2(1(0(0(0(3(2(0(z0)))))))))))), 1'(2(3(2(1(0(0(0(3(2(0(z0))))))))))), 2'(3(2(1(0(0(0(3(2(0(z0)))))))))), 3'(2(1(0(0(0(3(2(0(z0))))))))), 2'(1(0(0(0(3(2(0(z0)))))))), 1'(0(0(0(3(2(0(z0))))))), 0'(0(0(3(2(0(z0)))))), 0'(0(3(2(0(z0))))), 0'(3(2(0(z0)))), 3'(2(0(z0))), 2'(0(z0)), 0'(z0))
   0'(c_3(c_3(c_3(c_1(c_2(c_0(c_0(c_3(c_2(c_0(c_1(c_2(c_1(c_3(c_0(c_2(c_0(z0)))))))))))))))))) -> c16(0'(2(1(0(1(0(1(0(0(3(3(2(3(0(2(3(2(3(z0)))))))))))))))))), 2'(1(0(1(0(1(0(0(3(3(2(3(0(2(3(2(3(z0))))))))))))))))), 1'(0(1(0(1(0(0(3(3(2(3(0(2(3(2(3(z0)))))))))))))))), 0'(1(0(1(0(0(3(3(2(3(0(2(3(2(3(z0))))))))))))))), 1'(0(1(0(0(3(3(2(3(0(2(3(2(3(z0)))))))))))))), 0'(1(0(0(3(3(2(3(0(2(3(2(3(z0))))))))))))), 1'(0(0(3(3(2(3(0(2(3(2(3(z0)))))))))))), 0'(0(3(3(2(3(0(2(3(2(3(z0))))))))))), 0'(3(3(2(3(0(2(3(2(3(z0)))))))))), 3'(3(2(3(0(2(3(2(3(z0))))))))), 3'(2(3(0(2(3(2(3(z0)))))))), 2'(3(0(2(3(2(3(z0))))))), 3'(0(2(3(2(3(z0)))))), 0'(2(3(2(3(z0))))), 2'(3(2(3(z0)))), 3'(2(3(z0))), 2'(3(z0)), 3'(z0))
   0'(c_0(c_1(c_2(c_0(c_0(c_3(c_3(c_2(c_1(c_3(c_3(c_3(c_1(c_1(c_1(c_1(c_2(z0)))))))))))))))))) -> c17(0'(0(3(3(1(0(2(3(2(1(1(3(1(1(1(3(2(0(z0)))))))))))))))))), 0'(3(3(1(0(2(3(2(1(1(3(1(1(1(3(2(0(z0))))))))))))))))), 3'(3(1(0(2(3(2(1(1(3(1(1(1(3(2(0(z0)))))))))))))))), 3'(1(0(2(3(2(1(1(3(1(1(1(3(2(0(z0))))))))))))))), 1'(0(2(3(2(1(1(3(1(1(1(3(2(0(z0)))))))))))))), 0'(2(3(2(1(1(3(1(1(1(3(2(0(z0))))))))))))), 2'(3(2(1(1(3(1(1(1(3(2(0(z0)))))))))))), 3'(2(1(1(3(1(1(1(3(2(0(z0))))))))))), 2'(1(1(3(1(1(1(3(2(0(z0)))))))))), 1'(1(3(1(1(1(3(2(0(z0))))))))), 1'(3(1(1(1(3(2(0(z0)))))))), 3'(1(1(1(3(2(0(z0))))))), 1'(1(1(3(2(0(z0)))))), 1'(1(3(2(0(z0))))), 1'(3(2(0(z0)))), 3'(2(0(z0))), 2'(0(z0)), 0'(z0))
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   3'(c_0(c_2(c_0(c_3(c_1(c_1(c_3(c_2(c_1(c_3(c_0(c_2(c_0(c_2(c_1(c_1(c_3(z0)))))))))))))))))) -> c86(1'(3(3(2(0(0(0(1(3(3(2(0(1(1(2(1(2(3(z0)))))))))))))))))), 3'(3(2(0(0(0(1(3(3(2(0(1(1(2(1(2(3(z0))))))))))))))))), 3'(2(0(0(0(1(3(3(2(0(1(1(2(1(2(3(z0)))))))))))))))), 2'(0(0(0(1(3(3(2(0(1(1(2(1(2(3(z0))))))))))))))), 0'(0(0(1(3(3(2(0(1(1(2(1(2(3(z0)))))))))))))), 0'(0(1(3(3(2(0(1(1(2(1(2(3(z0))))))))))))), 0'(1(3(3(2(0(1(1(2(1(2(3(z0)))))))))))), 1'(3(3(2(0(1(1(2(1(2(3(z0))))))))))), 3'(3(2(0(1(1(2(1(2(3(z0)))))))))), 3'(2(0(1(1(2(1(2(3(z0))))))))), 2'(0(1(1(2(1(2(3(z0)))))))), 0'(1(1(2(1(2(3(z0))))))), 1'(1(2(1(2(3(z0)))))), 1'(2(1(2(3(z0))))), 2'(1(2(3(z0)))), 1'(2(3(z0))), 2'(3(z0)), 3'(z0))
   3'(c_3(c_0(c_3(c_0(c_0(c_2(c_3(c_0(c_2(c_3(c_3(c_1(c_2(c_2(c_2(c_2(c_0(z0)))))))))))))))))) -> c87(3'(3(0(0(3(2(3(2(0(0(0(2(3(2(1(2(3(2(z0)))))))))))))))))), 3'(0(0(3(2(3(2(0(0(0(2(3(2(1(2(3(2(z0))))))))))))))))), 0'(0(3(2(3(2(0(0(0(2(3(2(1(2(3(2(z0)))))))))))))))), 0'(3(2(3(2(0(0(0(2(3(2(1(2(3(2(z0))))))))))))))), 3'(2(3(2(0(0(0(2(3(2(1(2(3(2(z0)))))))))))))), 2'(3(2(0(0(0(2(3(2(1(2(3(2(z0))))))))))))), 3'(2(0(0(0(2(3(2(1(2(3(2(z0)))))))))))), 2'(0(0(0(2(3(2(1(2(3(2(z0))))))))))), 0'(0(0(2(3(2(1(2(3(2(z0)))))))))), 0'(0(2(3(2(1(2(3(2(z0))))))))), 0'(2(3(2(1(2(3(2(z0)))))))), 2'(3(2(1(2(3(2(z0))))))), 3'(2(1(2(3(2(z0)))))), 2'(1(2(3(2(z0))))), 1'(2(3(2(z0)))), 2'(3(2(z0))), 3'(2(z0)), 2'(z0))
   3'(c_3(c_3(c_3(c_3(c_0(c_3(c_1(c_1(c_3(c_2(c_1(c_1(c_3(c_2(c_2(c_0(c_2(z0)))))))))))))))))) -> c88(3'(3(1(0(1(2(3(2(0(1(1(3(3(3(3(2(3(2(z0)))))))))))))))))), 3'(1(0(1(2(3(2(0(1(1(3(3(3(3(2(3(2(z0))))))))))))))))), 1'(0(1(2(3(2(0(1(1(3(3(3(3(2(3(2(z0)))))))))))))))), 0'(1(2(3(2(0(1(1(3(3(3(3(2(3(2(z0))))))))))))))), 1'(2(3(2(0(1(1(3(3(3(3(2(3(2(z0)))))))))))))), 2'(3(2(0(1(1(3(3(3(3(2(3(2(z0))))))))))))), 3'(2(0(1(1(3(3(3(3(2(3(2(z0)))))))))))), 2'(0(1(1(3(3(3(3(2(3(2(z0))))))))))), 0'(1(1(3(3(3(3(2(3(2(z0)))))))))), 1'(1(3(3(3(3(2(3(2(z0))))))))), 1'(3(3(3(3(2(3(2(z0)))))))), 3'(3(3(3(2(3(2(z0))))))), 3'(3(3(2(3(2(z0)))))), 3'(3(2(3(2(z0))))), 3'(2(3(2(z0)))), 2'(3(2(z0))), 3'(2(z0)), 2'(z0))
   3'(c_2(c_2(c_3(c_0(c_0(c_3(c_0(c_0(c_2(c_3(c_0(c_1(c_1(c_1(c_1(c_3(c_0(z0)))))))))))))))))) -> c89(3'(2(0(3(2(3(0(1(0(1(1(0(3(1(3(0(2(0(z0)))))))))))))))))), 2'(0(3(2(3(0(1(0(1(1(0(3(1(3(0(2(0(z0))))))))))))))))), 0'(3(2(3(0(1(0(1(1(0(3(1(3(0(2(0(z0)))))))))))))))), 3'(2(3(0(1(0(1(1(0(3(1(3(0(2(0(z0))))))))))))))), 2'(3(0(1(0(1(1(0(3(1(3(0(2(0(z0)))))))))))))), 3'(0(1(0(1(1(0(3(1(3(0(2(0(z0))))))))))))), 0'(1(0(1(1(0(3(1(3(0(2(0(z0)))))))))))), 1'(0(1(1(0(3(1(3(0(2(0(z0))))))))))), 0'(1(1(0(3(1(3(0(2(0(z0)))))))))), 1'(1(0(3(1(3(0(2(0(z0))))))))), 1'(0(3(1(3(0(2(0(z0)))))))), 0'(3(1(3(0(2(0(z0))))))), 3'(1(3(0(2(0(z0)))))), 1'(3(0(2(0(z0))))), 3'(0(2(0(z0)))), 0'(2(0(z0))), 2'(0(z0)), 0'(z0))
   3'(c_1(c_3(c_1(c_1(c_3(c_3(c_3(c_2(c_1(c_2(c_3(c_0(c_2(c_1(c_2(c_3(c_0(z0)))))))))))))))))) -> c90(3'(3(3(2(0(1(3(2(0(1(3(3(1(2(1(1(2(3(z0)))))))))))))))))), 3'(3(2(0(1(3(2(0(1(3(3(1(2(1(1(2(3(z0))))))))))))))))), 3'(2(0(1(3(2(0(1(3(3(1(2(1(1(2(3(z0)))))))))))))))), 2'(0(1(3(2(0(1(3(3(1(2(1(1(2(3(z0))))))))))))))), 0'(1(3(2(0(1(3(3(1(2(1(1(2(3(z0)))))))))))))), 1'(3(2(0(1(3(3(1(2(1(1(2(3(z0))))))))))))), 3'(2(0(1(3(3(1(2(1(1(2(3(z0)))))))))))), 2'(0(1(3(3(1(2(1(1(2(3(z0))))))))))), 0'(1(3(3(1(2(1(1(2(3(z0)))))))))), 1'(3(3(1(2(1(1(2(3(z0))))))))), 3'(3(1(2(1(1(2(3(z0)))))))), 3'(1(2(1(1(2(3(z0))))))), 1'(2(1(1(2(3(z0)))))), 2'(1(1(2(3(z0))))), 1'(1(2(3(z0)))), 1'(2(3(z0))), 2'(3(z0)), 3'(z0))
   3'(c_0(c_2(c_2(c_0(c_0(c_1(c_2(c_3(c_0(c_0(c_1(c_1(c_2(c_0(c_1(c_2(c_2(z0)))))))))))))))))) -> c91(2'(3(0(2(3(1(1(0(2(0(2(1(1(0(0(2(0(2(z0)))))))))))))))))), 3'(0(2(3(1(1(0(2(0(2(1(1(0(0(2(0(2(z0))))))))))))))))), 0'(2(3(1(1(0(2(0(2(1(1(0(0(2(0(2(z0)))))))))))))))), 2'(3(1(1(0(2(0(2(1(1(0(0(2(0(2(z0))))))))))))))), 3'(1(1(0(2(0(2(1(1(0(0(2(0(2(z0)))))))))))))), 1'(1(0(2(0(2(1(1(0(0(2(0(2(z0))))))))))))), 1'(0(2(0(2(1(1(0(0(2(0(2(z0)))))))))))), 0'(2(0(2(1(1(0(0(2(0(2(z0))))))))))), 2'(0(2(1(1(0(0(2(0(2(z0)))))))))), 0'(2(1(1(0(0(2(0(2(z0))))))))), 2'(1(1(0(0(2(0(2(z0)))))))), 1'(1(0(0(2(0(2(z0))))))), 1'(0(0(2(0(2(z0)))))), 0'(0(2(0(2(z0))))), 0'(2(0(2(z0)))), 2'(0(2(z0))), 0'(2(z0)), 2'(z0))
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_3_1, ENCODE_1_1, ENCODE_2_1, ENCARG_1

Compound Symbols:   c9_18, c10_18, c11_18, c12_18, c13_18, c14_18, c15_18, c16_18, c17_18, c18_18, c19_18, c20_18, c21_18, c22_18, c23_18, c24_18, c25_18, c26_18, c27_18, c28_18, c29_18, c30_18, c31_18, c33_18, c34_18, c35_18, c36_18, c37_18, c38_18, c39_18, c40_18, c41_18, c42_18, c43_18, c44_18, c45_18, c46_18, c47_18, c48_18, c49_18, c50_18, c51_18, c52_18, c53_18, c55_18, c56_18, c57_18, c58_18, c59_18, c60_18, c61_18, c62_18, c63_18, c64_18, c65_18, c66_18, c67_18, c68_18, c69_18, c70_18, c71_18, c72_18, c73_18, c75_18, c76_18, c77_18, c78_18, c79_18, c80_18, c81_18, c82_18, c83_18, c84_18, c85_18, c86_18, c87_18, c88_18, c89_18, c90_18, c91_18, c8_1, c_2, c1_2, c2_2, c3_2


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

(55) CdtNarrowingProof (BOTH BOUNDS(ID, ID))
Use narrowing to replace 0'(c_0(c_0(c_1(c_0(c_0(c_0(c_2(c_1(c_1(c_2(c_0(c_1(c_0(c_1(c_2(c_0(c_0(z0)))))))))))))))))) -> c9(0'(1(0(1(1(0(0(2(1(1(0(0(2(0(2(0(0(0(z0)))))))))))))))))), 1'(0(1(1(0(0(2(1(1(0(0(2(0(2(0(0(0(z0))))))))))))))))), 0'(1(1(0(0(2(1(1(0(0(2(0(2(0(0(0(z0)))))))))))))))), 1'(1(0(0(2(1(1(0(0(2(0(2(0(0(0(z0))))))))))))))), 1'(0(0(2(1(1(0(0(2(0(2(0(0(0(z0)))))))))))))), 0'(0(2(1(1(0(0(2(0(2(0(0(0(z0))))))))))))), 0'(2(1(1(0(0(2(0(2(0(0(0(z0)))))))))))), 2'(1(1(0(0(2(0(2(0(0(0(z0))))))))))), 1'(1(0(0(2(0(2(0(0(0(z0)))))))))), 1'(0(0(2(0(2(0(0(0(z0))))))))), 0'(0(2(0(2(0(0(0(z0)))))))), 0'(2(0(2(0(0(0(z0))))))), 2'(0(2(0(0(0(z0)))))), 0'(2(0(0(0(z0))))), 2'(0(0(0(z0)))), 0'(0(0(z0))), 0'(0(z0)), 0'(z0)) by 
   0'(c_0(c_0(c_1(c_0(c_0(c_0(c_2(c_1(c_1(c_2(c_0(c_1(c_0(c_1(c_2(c_0(c_0(x0)))))))))))))))))) -> c9(0'(c_1(0(1(1(0(0(2(1(1(0(0(2(0(2(0(0(0(x0)))))))))))))))))), 1'(0(1(1(0(0(2(1(1(0(0(2(0(2(0(0(0(x0))))))))))))))))), 0'(1(1(0(0(2(1(1(0(0(2(0(2(0(0(0(x0)))))))))))))))), 1'(1(0(0(2(1(1(0(0(2(0(2(0(0(0(x0))))))))))))))), 1'(0(0(2(1(1(0(0(2(0(2(0(0(0(x0)))))))))))))), 0'(0(2(1(1(0(0(2(0(2(0(0(0(x0))))))))))))), 0'(2(1(1(0(0(2(0(2(0(0(0(x0)))))))))))), 2'(1(1(0(0(2(0(2(0(0(0(x0))))))))))), 1'(1(0(0(2(0(2(0(0(0(x0)))))))))), 1'(0(0(2(0(2(0(0(0(x0))))))))), 0'(0(2(0(2(0(0(0(x0)))))))), 0'(2(0(2(0(0(0(x0))))))), 2'(0(2(0(0(0(x0)))))), 0'(2(0(0(0(x0))))), 2'(0(0(0(x0)))), 0'(0(0(x0))), 0'(0(x0)), 0'(x0))
   0'(c_0(c_0(c_1(c_0(c_0(c_0(c_2(c_1(c_1(c_2(c_0(c_1(c_0(c_1(c_2(c_0(c_0(x0)))))))))))))))))) -> c9(0'(1(c_0(1(1(0(0(2(1(1(0(0(2(0(2(0(0(0(x0)))))))))))))))))), 1'(0(1(1(0(0(2(1(1(0(0(2(0(2(0(0(0(x0))))))))))))))))), 0'(1(1(0(0(2(1(1(0(0(2(0(2(0(0(0(x0)))))))))))))))), 1'(1(0(0(2(1(1(0(0(2(0(2(0(0(0(x0))))))))))))))), 1'(0(0(2(1(1(0(0(2(0(2(0(0(0(x0)))))))))))))), 0'(0(2(1(1(0(0(2(0(2(0(0(0(x0))))))))))))), 0'(2(1(1(0(0(2(0(2(0(0(0(x0)))))))))))), 2'(1(1(0(0(2(0(2(0(0(0(x0))))))))))), 1'(1(0(0(2(0(2(0(0(0(x0)))))))))), 1'(0(0(2(0(2(0(0(0(x0))))))))), 0'(0(2(0(2(0(0(0(x0)))))))), 0'(2(0(2(0(0(0(x0))))))), 2'(0(2(0(0(0(x0)))))), 0'(2(0(0(0(x0))))), 2'(0(0(0(x0)))), 0'(0(0(x0))), 0'(0(x0)), 0'(x0))
   0'(c_0(c_0(c_1(c_0(c_0(c_0(c_2(c_1(c_1(c_2(c_0(c_1(c_0(c_1(c_2(c_0(c_0(x0)))))))))))))))))) -> c9(0'(1(0(c_1(1(0(0(2(1(1(0(0(2(0(2(0(0(0(x0)))))))))))))))))), 1'(0(1(1(0(0(2(1(1(0(0(2(0(2(0(0(0(x0))))))))))))))))), 0'(1(1(0(0(2(1(1(0(0(2(0(2(0(0(0(x0)))))))))))))))), 1'(1(0(0(2(1(1(0(0(2(0(2(0(0(0(x0))))))))))))))), 1'(0(0(2(1(1(0(0(2(0(2(0(0(0(x0)))))))))))))), 0'(0(2(1(1(0(0(2(0(2(0(0(0(x0))))))))))))), 0'(2(1(1(0(0(2(0(2(0(0(0(x0)))))))))))), 2'(1(1(0(0(2(0(2(0(0(0(x0))))))))))), 1'(1(0(0(2(0(2(0(0(0(x0)))))))))), 1'(0(0(2(0(2(0(0(0(x0))))))))), 0'(0(2(0(2(0(0(0(x0)))))))), 0'(2(0(2(0(0(0(x0))))))), 2'(0(2(0(0(0(x0)))))), 0'(2(0(0(0(x0))))), 2'(0(0(0(x0)))), 0'(0(0(x0))), 0'(0(x0)), 0'(x0))
   0'(c_0(c_0(c_1(c_0(c_0(c_0(c_2(c_1(c_1(c_2(c_0(c_1(c_0(c_1(c_2(c_0(c_0(x0)))))))))))))))))) -> c9(0'(1(0(1(c_1(0(0(2(1(1(0(0(2(0(2(0(0(0(x0)))))))))))))))))), 1'(0(1(1(0(0(2(1(1(0(0(2(0(2(0(0(0(x0))))))))))))))))), 0'(1(1(0(0(2(1(1(0(0(2(0(2(0(0(0(x0)))))))))))))))), 1'(1(0(0(2(1(1(0(0(2(0(2(0(0(0(x0))))))))))))))), 1'(0(0(2(1(1(0(0(2(0(2(0(0(0(x0)))))))))))))), 0'(0(2(1(1(0(0(2(0(2(0(0(0(x0))))))))))))), 0'(2(1(1(0(0(2(0(2(0(0(0(x0)))))))))))), 2'(1(1(0(0(2(0(2(0(0(0(x0))))))))))), 1'(1(0(0(2(0(2(0(0(0(x0)))))))))), 1'(0(0(2(0(2(0(0(0(x0))))))))), 0'(0(2(0(2(0(0(0(x0)))))))), 0'(2(0(2(0(0(0(x0))))))), 2'(0(2(0(0(0(x0)))))), 0'(2(0(0(0(x0))))), 2'(0(0(0(x0)))), 0'(0(0(x0))), 0'(0(x0)), 0'(x0))
   0'(c_0(c_0(c_1(c_0(c_0(c_0(c_2(c_1(c_1(c_2(c_0(c_1(c_0(c_1(c_2(c_0(c_0(x0)))))))))))))))))) -> c9(0'(1(0(1(1(c_0(0(2(1(1(0(0(2(0(2(0(0(0(x0)))))))))))))))))), 1'(0(1(1(0(0(2(1(1(0(0(2(0(2(0(0(0(x0))))))))))))))))), 0'(1(1(0(0(2(1(1(0(0(2(0(2(0(0(0(x0)))))))))))))))), 1'(1(0(0(2(1(1(0(0(2(0(2(0(0(0(x0))))))))))))))), 1'(0(0(2(1(1(0(0(2(0(2(0(0(0(x0)))))))))))))), 0'(0(2(1(1(0(0(2(0(2(0(0(0(x0))))))))))))), 0'(2(1(1(0(0(2(0(2(0(0(0(x0)))))))))))), 2'(1(1(0(0(2(0(2(0(0(0(x0))))))))))), 1'(1(0(0(2(0(2(0(0(0(x0)))))))))), 1'(0(0(2(0(2(0(0(0(x0))))))))), 0'(0(2(0(2(0(0(0(x0)))))))), 0'(2(0(2(0(0(0(x0))))))), 2'(0(2(0(0(0(x0)))))), 0'(2(0(0(0(x0))))), 2'(0(0(0(x0)))), 0'(0(0(x0))), 0'(0(x0)), 0'(x0))
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   0'(c_0(c_0(c_1(c_0(c_0(c_0(c_2(c_1(c_1(c_2(c_0(c_1(c_0(c_1(c_2(c_0(c_0(x0)))))))))))))))))) -> c9(0'(1(0(1(1(0(0(c_2(1(1(0(0(2(0(2(0(0(0(x0)))))))))))))))))), 1'(0(1(1(0(0(2(1(1(0(0(2(0(2(0(0(0(x0))))))))))))))))), 0'(1(1(0(0(2(1(1(0(0(2(0(2(0(0(0(x0)))))))))))))))), 1'(1(0(0(2(1(1(0(0(2(0(2(0(0(0(x0))))))))))))))), 1'(0(0(2(1(1(0(0(2(0(2(0(0(0(x0)))))))))))))), 0'(0(2(1(1(0(0(2(0(2(0(0(0(x0))))))))))))), 0'(2(1(1(0(0(2(0(2(0(0(0(x0)))))))))))), 2'(1(1(0(0(2(0(2(0(0(0(x0))))))))))), 1'(1(0(0(2(0(2(0(0(0(x0)))))))))), 1'(0(0(2(0(2(0(0(0(x0))))))))), 0'(0(2(0(2(0(0(0(x0)))))))), 0'(2(0(2(0(0(0(x0))))))), 2'(0(2(0(0(0(x0)))))), 0'(2(0(0(0(x0))))), 2'(0(0(0(x0)))), 0'(0(0(x0))), 0'(0(x0)), 0'(x0))
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   0'(c_0(c_0(c_1(c_0(c_0(c_0(c_2(c_1(c_1(c_2(c_0(c_1(c_0(c_1(c_2(c_0(c_0(c_0(c_2(c_2(c_1(c_1(c_3(c_0(c_2(c_2(c_2(c_2(c_0(c_3(c_3(c_0(c_1(c_0(z0))))))))))))))))))))))))))))))))))) -> c9(0'(1(0(1(1(0(0(2(1(1(0(0(2(0(2(0(0(0(2(2(1(1(0(2(3(0(0(2(0(2(1(3(2(3(0(z0))))))))))))))))))))))))))))))))))), 1'(0(1(1(0(0(2(1(1(0(0(2(0(2(0(0(0(c_0(c_2(c_2(c_1(c_1(c_3(c_0(c_2(c_2(c_2(c_2(c_0(c_3(c_3(c_0(c_1(c_0(z0)))))))))))))))))))))))))))))))))), 0'(1(1(0(0(2(1(1(0(0(2(0(2(0(0(0(c_0(c_2(c_2(c_1(c_1(c_3(c_0(c_2(c_2(c_2(c_2(c_0(c_3(c_3(c_0(c_1(c_0(z0))))))))))))))))))))))))))))))))), 1'(1(0(0(2(1(1(0(0(2(0(2(0(0(0(c_0(c_2(c_2(c_1(c_1(c_3(c_0(c_2(c_2(c_2(c_2(c_0(c_3(c_3(c_0(c_1(c_0(z0)))))))))))))))))))))))))))))))), 1'(0(0(2(1(1(0(0(2(0(2(0(0(0(c_0(c_2(c_2(c_1(c_1(c_3(c_0(c_2(c_2(c_2(c_2(c_0(c_3(c_3(c_0(c_1(c_0(z0))))))))))))))))))))))))))))))), 0'(0(2(1(1(0(0(2(0(2(0(0(0(c_0(c_2(c_2(c_1(c_1(c_3(c_0(c_2(c_2(c_2(c_2(c_0(c_3(c_3(c_0(c_1(c_0(z0)))))))))))))))))))))))))))))), 0'(2(1(1(0(0(2(0(2(0(0(0(c_0(c_2(c_2(c_1(c_1(c_3(c_0(c_2(c_2(c_2(c_2(c_0(c_3(c_3(c_0(c_1(c_0(z0))))))))))))))))))))))))))))), 2'(1(1(0(0(2(0(2(0(0(0(c_0(c_2(c_2(c_1(c_1(c_3(c_0(c_2(c_2(c_2(c_2(c_0(c_3(c_3(c_0(c_1(c_0(z0)))))))))))))))))))))))))))), 1'(1(0(0(2(0(2(0(0(0(c_0(c_2(c_2(c_1(c_1(c_3(c_0(c_2(c_2(c_2(c_2(c_0(c_3(c_3(c_0(c_1(c_0(z0))))))))))))))))))))))))))), 1'(0(0(2(0(2(0(0(0(c_0(c_2(c_2(c_1(c_1(c_3(c_0(c_2(c_2(c_2(c_2(c_0(c_3(c_3(c_0(c_1(c_0(z0)))))))))))))))))))))))))), 0'(0(2(0(2(0(0(0(c_0(c_2(c_2(c_1(c_1(c_3(c_0(c_2(c_2(c_2(c_2(c_0(c_3(c_3(c_0(c_1(c_0(z0))))))))))))))))))))))))), 0'(2(0(2(0(0(0(c_0(c_2(c_2(c_1(c_1(c_3(c_0(c_2(c_2(c_2(c_2(c_0(c_3(c_3(c_0(c_1(c_0(z0)))))))))))))))))))))))), 2'(0(2(0(0(0(c_0(c_2(c_2(c_1(c_1(c_3(c_0(c_2(c_2(c_2(c_2(c_0(c_3(c_3(c_0(c_1(c_0(z0))))))))))))))))))))))), 0'(2(0(0(0(c_0(c_2(c_2(c_1(c_1(c_3(c_0(c_2(c_2(c_2(c_2(c_0(c_3(c_3(c_0(c_1(c_0(z0)))))))))))))))))))))), 2'(0(0(0(c_0(c_2(c_2(c_1(c_1(c_3(c_0(c_2(c_2(c_2(c_2(c_0(c_3(c_3(c_0(c_1(c_0(z0))))))))))))))))))))), 0'(0(0(c_0(c_2(c_2(c_1(c_1(c_3(c_0(c_2(c_2(c_2(c_2(c_0(c_3(c_3(c_0(c_1(c_0(z0)))))))))))))))))))), 0'(0(c_0(c_2(c_2(c_1(c_1(c_3(c_0(c_2(c_2(c_2(c_2(c_0(c_3(c_3(c_0(c_1(c_0(z0))))))))))))))))))), 0'(c_0(c_2(c_2(c_1(c_1(c_3(c_0(c_2(c_2(c_2(c_2(c_0(c_3(c_3(c_0(c_1(c_0(z0)))))))))))))))))))

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

(56)
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_0(c_0(c_1(c_0(c_0(c_0(c_2(c_1(c_1(c_2(c_0(c_1(c_0(c_1(c_2(c_0(c_0(z0)))))))))))))))))) -> 0(1(0(1(1(0(0(2(1(1(0(0(2(0(2(0(0(0(z0))))))))))))))))))
   0(c_0(c_1(c_3(c_2(c_1(c_0(c_0(c_3(c_2(c_3(c_1(c_3(c_0(c_0(c_2(c_0(c_0(z0)))))))))))))))))) -> 0(0(2(3(2(0(1(0(2(1(0(1(0(3(0(3(0(3(z0))))))))))))))))))
   0(c_3(c_1(c_2(c_3(c_1(c_0(c_3(c_3(c_3(c_1(c_3(c_0(c_3(c_2(c_2(c_1(c_2(z0)))))))))))))))))) -> 1(0(3(1(0(3(3(3(3(2(3(2(3(2(0(2(1(1(z0))))))))))))))))))
   0(c_0(c_3(c_0(c_3(c_1(c_2(c_0(c_3(c_0(c_3(c_1(c_0(c_0(c_1(c_0(c_1(c_3(z0)))))))))))))))))) -> 0(3(0(0(3(3(0(1(0(3(0(1(0(0(2(1(1(3(z0))))))))))))))))))
   0(c_2(c_3(c_3(c_1(c_0(c_3(c_0(c_0(c_0(c_2(c_0(c_1(c_3(c_1(c_3(c_3(c_0(z0)))))))))))))))))) -> 0(3(0(3(3(2(3(2(3(0(0(0(0(1(1(1(3(0(z0))))))))))))))))))
   0(c_0(c_1(c_3(c_1(c_0(c_3(c_1(c_1(c_3(c_1(c_2(c_3(c_1(c_2(c_2(c_1(c_1(z0)))))))))))))))))) -> 0(3(0(2(1(0(3(2(1(1(2(1(3(1(3(1(1(1(z0))))))))))))))))))
   0(c_0(c_3(c_2(c_1(c_3(c_1(c_3(c_3(c_0(c_1(c_2(c_0(c_0(c_0(c_2(c_0(c_2(z0)))))))))))))))))) -> 0(3(0(0(2(1(3(1(2(3(2(1(0(0(0(3(2(0(z0))))))))))))))))))
   0(c_3(c_3(c_3(c_1(c_2(c_0(c_0(c_3(c_2(c_0(c_1(c_2(c_1(c_3(c_0(c_2(c_0(z0)))))))))))))))))) -> 0(2(1(0(1(0(1(0(0(3(3(2(3(0(2(3(2(3(z0))))))))))))))))))
   0(c_0(c_1(c_2(c_0(c_0(c_3(c_3(c_2(c_1(c_3(c_3(c_3(c_1(c_1(c_1(c_1(c_2(z0)))))))))))))))))) -> 0(0(3(3(1(0(2(3(2(1(1(3(1(1(1(3(2(0(z0))))))))))))))))))
   0(c_0(c_1(c_1(c_1(c_3(c_2(c_2(c_2(c_1(c_3(c_2(c_3(c_0(c_0(c_0(c_0(c_0(z0)))))))))))))))))) -> 1(0(0(3(2(0(1(3(2(0(0(2(3(1(0(2(1(0(z0))))))))))))))))))
   0(c_3(c_0(c_3(c_2(c_2(c_0(c_3(c_3(c_1(c_0(c_0(c_3(c_0(c_3(c_0(c_1(c_0(z0)))))))))))))))))) -> 0(3(0(0(3(3(3(2(1(3(2(0(0(1(3(0(0(0(z0))))))))))))))))))
   0(c_0(c_0(c_3(c_0(c_3(c_0(c_1(c_2(c_1(c_0(c_0(c_0(c_1(c_2(c_3(c_3(c_3(z0)))))))))))))))))) -> 0(0(0(2(3(0(0(0(0(1(1(3(1(0(2(3(3(3(z0))))))))))))))))))
   0(c_0(c_3(c_0(c_3(c_3(c_3(c_1(c_1(c_1(c_3(c_1(c_1(c_2(c_1(c_2(c_3(c_0(z0)))))))))))))))))) -> 0(3(3(1(2(1(3(0(3(3(2(0(1(1(0(1(1(3(z0))))))))))))))))))
   0(c_0(c_1(c_0(c_1(c_1(c_1(c_0(c_2(c_2(c_3(c_3(c_1(c_3(c_0(c_2(c_1(c_0(z0)))))))))))))))))) -> 0(0(1(1(1(3(3(3(2(1(1(0(0(1(2(0(2(0(z0))))))))))))))))))
   0(c_0(c_0(c_0(c_3(c_0(c_3(c_1(c_3(c_1(c_2(c_2(c_1(c_3(c_1(c_0(c_0(c_2(z0)))))))))))))))))) -> 0(0(3(3(2(1(3(0(0(1(1(2(0(0(1(0(2(3(z0))))))))))))))))))
   0(c_0(c_1(c_2(c_0(c_1(c_0(c_1(c_1(c_0(c_1(c_2(c_2(c_3(c_3(c_1(c_2(c_2(z0)))))))))))))))))) -> 0(2(0(1(2(3(1(1(0(0(2(3(2(1(1(1(0(2(z0))))))))))))))))))
   0(c_2(c_2(c_3(c_2(c_3(c_2(c_2(c_2(c_2(c_2(c_3(c_3(c_0(c_0(c_0(c_0(c_3(z0)))))))))))))))))) -> 0(2(0(3(2(2(0(3(3(3(2(2(2(0(2(0(2(3(z0))))))))))))))))))
   0(c_0(c_2(c_3(c_3(c_3(c_0(c_0(c_1(c_1(c_2(c_2(c_0(c_3(c_2(c_3(c_3(c_0(z0)))))))))))))))))) -> 0(3(0(2(3(0(1(3(3(2(0(0(3(3(2(1(2(0(z0))))))))))))))))))
   0(c_1(c_3(c_0(c_1(c_0(c_1(c_1(c_2(c_2(c_2(c_3(c_3(c_0(c_3(c_0(c_0(c_0(z0)))))))))))))))))) -> 0(2(1(0(0(3(2(0(0(3(3(3(1(1(0(1(2(0(z0))))))))))))))))))
   0(c_1(c_2(c_3(c_0(c_2(c_1(c_2(c_3(c_0(c_0(c_3(c_0(c_1(c_0(c_1(c_3(c_0(z0)))))))))))))))))) -> 0(2(0(0(0(2(3(3(1(1(3(2(0(3(0(0(1(1(z0))))))))))))))))))
   0(c_0(c_3(c_0(c_2(c_0(c_1(c_1(c_3(c_1(c_0(c_2(c_0(c_0(c_0(c_2(c_1(c_1(z0)))))))))))))))))) -> 0(3(1(0(3(2(0(1(0(1(0(0(2(0(1(2(0(1(z0))))))))))))))))))
   0(c_0(c_3(c_3(c_1(c_2(c_3(c_0(c_2(c_3(c_3(c_3(c_0(c_0(c_3(c_2(c_2(c_3(z0)))))))))))))))))) -> 3(0(3(3(2(0(2(3(2(0(3(1(3(3(2(0(0(3(z0))))))))))))))))))
   0(c_0(c_2(c_2(c_1(c_1(c_3(c_0(c_2(c_2(c_2(c_2(c_0(c_3(c_3(c_0(c_1(c_0(z0)))))))))))))))))) -> 0(2(2(1(1(0(2(3(0(0(2(0(2(1(3(2(3(0(z0))))))))))))))))))
   1(z0) -> c_1(z0)
   1(c_3(c_0(c_3(c_3(c_0(c_2(c_3(c_1(c_0(c_0(c_0(c_3(c_2(c_1(c_2(c_3(c_3(z0)))))))))))))))))) -> 1(3(0(2(0(0(3(1(0(2(1(0(2(3(3(3(3(3(z0))))))))))))))))))
   1(c_2(c_1(c_2(c_2(c_0(c_1(c_3(c_0(c_2(c_3(c_2(c_2(c_3(c_2(c_3(c_3(c_0(z0)))))))))))))))))) -> 1(2(0(3(0(2(2(1(3(3(2(2(2(3(3(2(1(0(z0))))))))))))))))))
   1(c_2(c_0(c_0(c_1(c_1(c_0(c_1(c_2(c_0(c_1(c_1(c_2(c_0(c_0(c_3(c_3(c_1(z0)))))))))))))))))) -> 1(1(1(0(1(0(1(0(1(0(0(2(0(1(3(3(2(2(z0))))))))))))))))))
   1(c_0(c_0(c_0(c_3(c_0(c_0(c_1(c_3(c_1(c_2(c_1(c_2(c_2(c_1(c_2(c_3(c_1(z0)))))))))))))))))) -> 1(3(0(0(0(3(2(1(2(1(0(0(1(3(2(2(1(1(z0))))))))))))))))))
   1(c_0(c_2(c_3(c_1(c_3(c_2(c_2(c_3(c_1(c_2(c_0(c_1(c_0(c_3(c_0(c_0(c_0(z0)))))))))))))))))) -> 1(0(3(3(2(1(3(2(3(0(1(2(0(0(2(1(0(0(z0))))))))))))))))))
   1(c_3(c_1(c_2(c_2(c_2(c_0(c_3(c_3(c_2(c_1(c_0(c_3(c_3(c_0(c_0(c_3(c_0(z0)))))))))))))))))) -> 1(3(2(3(0(2(3(3(3(0(0(2(0(1(3(2(1(0(z0))))))))))))))))))
   1(c_2(c_1(c_3(c_1(c_1(c_3(c_0(c_3(c_1(c_1(c_1(c_1(c_1(c_3(c_0(c_1(c_3(z0)))))))))))))))))) -> 1(0(1(1(0(3(1(3(3(1(1(3(2(1(1(1(1(3(z0))))))))))))))))))
   1(c_3(c_1(c_1(c_1(c_2(c_0(c_2(c_1(c_2(c_0(c_3(c_3(c_1(c_2(c_2(c_3(c_1(z0)))))))))))))))))) -> 1(2(1(2(1(2(2(1(1(1(1(0(3(3(3(0(3(2(z0))))))))))))))))))
   1(c_3(c_0(c_0(c_1(c_2(c_3(c_3(c_2(c_3(c_1(c_1(c_3(c_1(c_0(c_3(c_1(c_2(z0)))))))))))))))))) -> 1(1(2(3(3(3(3(1(1(0(2(0(1(3(3(2(0(1(z0))))))))))))))))))
   1(c_1(c_1(c_2(c_1(c_2(c_3(c_0(c_0(c_2(c_3(c_0(c_3(c_1(c_3(c_2(c_0(c_2(z0)))))))))))))))))) -> 1(1(1(3(0(2(0(2(0(2(3(2(0(3(3(1(1(2(z0))))))))))))))))))
   1(c_0(c_3(c_3(c_3(c_0(c_2(c_3(c_0(c_2(c_1(c_1(c_0(c_3(c_3(c_1(c_3(c_1(z0)))))))))))))))))) -> 1(3(3(1(1(1(0(3(0(0(3(3(3(2(3(2(0(1(z0))))))))))))))))))
   1(c_2(c_2(c_3(c_2(c_1(c_3(c_0(c_3(c_1(c_3(c_3(c_1(c_3(c_0(c_3(c_3(c_3(z0)))))))))))))))))) -> 1(3(3(1(1(2(0(3(3(2(3(1(3(2(0(3(3(3(z0))))))))))))))))))
   1(c_2(c_1(c_2(c_3(c_0(c_3(c_0(c_2(c_2(c_0(c_2(c_3(c_2(c_0(c_1(c_1(c_2(z0)))))))))))))))))) -> 1(0(1(3(2(2(0(2(1(2(1(3(2(0(2(3(0(2(z0))))))))))))))))))
   1(c_2(c_2(c_3(c_3(c_0(c_1(c_2(c_1(c_0(c_3(c_1(c_2(c_3(c_1(c_1(c_2(c_2(z0)))))))))))))))))) -> 1(3(3(2(3(3(1(2(2(0(1(2(2(2(1(1(1(0(z0))))))))))))))))))
   1(c_3(c_3(c_0(c_3(c_1(c_0(c_1(c_3(c_1(c_2(c_2(c_0(c_3(c_1(c_1(c_0(c_0(z0)))))))))))))))))) -> 1(3(2(0(3(0(0(0(3(2(1(3(1(1(1(1(3(0(z0))))))))))))))))))
   1(c_1(c_2(c_1(c_3(c_0(c_2(c_1(c_0(c_0(c_3(c_0(c_1(c_2(c_2(c_0(c_3(c_3(z0)))))))))))))))))) -> 1(0(3(2(1(0(3(3(1(0(2(2(0(1(0(2(1(3(z0))))))))))))))))))
   1(c_2(c_1(c_0(c_1(c_3(c_0(c_3(c_3(c_1(c_3(c_1(c_2(c_2(c_3(c_0(c_2(c_0(z0)))))))))))))))))) -> 1(1(3(3(2(0(0(3(2(1(2(3(3(2(0(1(1(0(z0))))))))))))))))))
   1(c_0(c_3(c_0(c_2(c_3(c_0(c_3(c_1(c_3(c_1(c_1(c_2(c_0(c_3(c_0(c_3(c_0(z0)))))))))))))))))) -> 1(0(1(0(2(3(0(3(0(3(0(3(3(1(0(2(1(3(z0))))))))))))))))))
   1(c_2(c_3(c_1(c_3(c_0(c_1(c_1(c_3(c_1(c_3(c_1(c_2(c_0(c_3(c_2(c_3(c_0(z0)))))))))))))))))) -> 1(1(3(2(1(3(3(0(2(0(3(3(1(1(3(2(0(1(z0))))))))))))))))))
   1(c_1(c_2(c_3(c_3(c_1(c_0(c_0(c_3(c_1(c_3(c_3(c_3(c_0(c_0(c_1(c_3(c_1(z0)))))))))))))))))) -> 1(3(0(2(3(3(3(1(1(0(3(3(3(0(1(1(0(1(z0))))))))))))))))))
   1(c_3(c_1(c_2(c_0(c_1(c_2(c_0(c_0(c_1(c_0(c_0(c_2(c_3(c_0(c_1(c_1(c_2(z0)))))))))))))))))) -> 1(3(2(2(0(2(1(0(1(0(0(1(2(0(1(1(3(0(z0))))))))))))))))))
   2(z0) -> c_2(z0)
   2(c_3(c_1(c_1(c_2(c_0(c_2(c_0(c_3(c_2(c_2(c_3(c_1(c_2(c_2(c_3(c_0(c_0(z0)))))))))))))))))) -> 2(2(2(2(1(3(0(2(0(3(2(1(0(1(0(3(2(3(z0))))))))))))))))))
   2(c_2(c_0(c_2(c_3(c_3(c_2(c_2(c_0(c_3(c_1(c_0(c_0(c_2(c_2(c_3(c_0(c_0(z0)))))))))))))))))) -> 2(2(0(0(3(3(2(3(2(3(2(0(2(0(0(0(1(2(z0))))))))))))))))))
   2(c_2(c_3(c_3(c_1(c_2(c_3(c_2(c_1(c_2(c_1(c_3(c_2(c_2(c_1(c_1(c_2(c_1(z0)))))))))))))))))) -> 2(1(1(1(2(2(3(2(3(3(3(2(1(2(1(2(2(1(z0))))))))))))))))))
   2(c_3(c_0(c_0(c_3(c_0(c_0(c_3(c_0(c_2(c_2(c_2(c_2(c_3(c_2(c_0(c_3(c_0(z0)))))))))))))))))) -> 2(2(3(0(2(0(0(2(0(3(3(2(3(3(2(0(0(0(z0))))))))))))))))))
   2(c_0(c_1(c_1(c_2(c_1(c_1(c_2(c_2(c_1(c_1(c_2(c_1(c_2(c_2(c_0(c_0(c_2(z0)))))))))))))))))) -> 2(0(2(1(2(1(0(2(2(2(1(2(1(0(2(1(1(1(z0))))))))))))))))))
   2(c_2(c_1(c_1(c_3(c_0(c_0(c_3(c_2(c_3(c_1(c_2(c_1(c_0(c_0(c_2(c_1(c_2(z0)))))))))))))))))) -> 2(1(0(0(2(1(0(3(3(2(2(1(1(1(0(3(2(2(z0))))))))))))))))))
   2(c_2(c_3(c_3(c_3(c_3(c_3(c_1(c_2(c_0(c_1(c_1(c_1(c_2(c_3(c_1(c_2(c_1(z0)))))))))))))))))) -> 1(3(3(3(2(0(1(2(1(2(1(3(2(3(3(2(1(1(z0))))))))))))))))))
   2(c_3(c_2(c_3(c_0(c_0(c_0(c_3(c_3(c_2(c_2(c_2(c_2(c_3(c_2(c_2(c_0(c_2(z0)))))))))))))))))) -> 2(3(3(2(3(2(0(2(2(0(0(3(2(0(2(2(3(2(z0))))))))))))))))))
   2(c_2(c_0(c_1(c_2(c_3(c_3(c_0(c_3(c_2(c_2(c_2(c_0(c_3(c_3(c_1(c_1(c_3(z0)))))))))))))))))) -> 2(1(3(2(0(3(3(0(2(1(1(3(2(0(3(2(2(3(z0))))))))))))))))))
   2(c_0(c_0(c_2(c_2(c_0(c_3(c_0(c_1(c_0(c_2(c_3(c_3(c_1(c_2(c_1(c_2(c_2(z0)))))))))))))))))) -> 2(0(1(2(2(3(0(3(3(2(0(1(2(2(1(0(2(0(z0))))))))))))))))))
   2(c_3(c_1(c_1(c_3(c_1(c_0(c_2(c_3(c_0(c_0(c_0(c_2(c_3(c_3(c_2(c_3(c_1(z0)))))))))))))))))) -> 2(3(3(2(0(2(1(0(3(3(0(3(1(0(1(2(3(1(z0))))))))))))))))))
   2(c_2(c_3(c_1(c_1(c_2(c_2(c_0(c_1(c_0(c_1(c_0(c_1(c_0(c_1(c_3(c_1(c_0(z0)))))))))))))))))) -> 2(0(1(0(1(1(0(3(2(1(1(0(2(2(3(1(1(0(z0))))))))))))))))))
   2(c_2(c_3(c_1(c_2(c_2(c_2(c_1(c_2(c_0(c_1(c_3(c_2(c_2(c_3(c_3(c_0(c_0(z0)))))))))))))))))) -> 2(1(2(2(3(3(2(2(0(1(0(2(2(3(1(0(2(3(z0))))))))))))))))))
   2(c_0(c_0(c_3(c_0(c_3(c_1(c_1(c_2(c_2(c_2(c_2(c_3(c_2(c_0(c_0(c_3(c_0(z0)))))))))))))))))) -> 2(0(3(0(1(3(2(2(3(0(1(3(2(2(0(2(0(0(z0))))))))))))))))))
   2(c_0(c_0(c_0(c_0(c_3(c_1(c_2(c_2(c_0(c_3(c_0(c_2(c_0(c_3(c_1(c_3(c_2(z0)))))))))))))))))) -> 2(0(1(0(2(3(2(0(3(3(2(3(0(2(1(0(0(0(z0))))))))))))))))))
   2(c_3(c_0(c_0(c_0(c_2(c_0(c_0(c_1(c_3(c_3(c_1(c_2(c_2(c_2(c_2(c_2(c_2(z0)))))))))))))))))) -> 2(1(2(2(3(0(0(3(0(3(2(0(0(2(2(1(2(2(z0))))))))))))))))))
   2(c_0(c_0(c_3(c_1(c_2(c_1(c_3(c_0(c_2(c_2(c_2(c_1(c_2(c_2(c_2(c_3(c_1(z0)))))))))))))))))) -> 2(1(0(3(2(2(1(2(3(2(2(0(3(2(2(0(1(1(z0))))))))))))))))))
   2(c_1(c_2(c_0(c_2(c_1(c_3(c_0(c_1(c_2(c_1(c_0(c_2(c_1(c_3(c_1(c_2(c_0(z0)))))))))))))))))) -> 2(1(2(3(1(0(1(0(0(2(1(1(3(2(0(2(1(2(z0))))))))))))))))))
   2(c_3(c_0(c_3(c_1(c_1(c_2(c_3(c_1(c_3(c_2(c_0(c_1(c_2(c_2(c_1(c_3(c_0(z0)))))))))))))))))) -> 2(1(1(0(1(2(1(3(3(3(2(2(0(2(1(3(3(0(z0))))))))))))))))))
   3(z0) -> c_3(z0)
   3(c_2(c_1(c_1(c_1(c_3(c_1(c_1(c_2(c_2(c_1(c_2(c_1(c_1(c_2(c_3(c_0(c_1(z0)))))))))))))))))) -> 3(2(1(1(1(1(1(0(3(2(2(2(1(2(3(1(1(1(z0))))))))))))))))))
   3(c_1(c_2(c_1(c_0(c_3(c_1(c_1(c_2(c_2(c_3(c_0(c_2(c_2(c_3(c_0(c_2(c_0(z0)))))))))))))))))) -> 3(1(1(1(2(2(2(0(3(2(0(3(2(3(2(0(0(1(z0))))))))))))))))))
   3(c_3(c_1(c_1(c_3(c_1(c_0(c_1(c_3(c_1(c_2(c_3(c_3(c_3(c_1(c_1(c_3(c_0(z0)))))))))))))))))) -> 3(3(1(0(3(3(1(3(3(3(3(1(1(1(1(2(0(1(z0))))))))))))))))))
   3(c_1(c_3(c_0(c_3(c_0(c_3(c_2(c_2(c_3(c_0(c_2(c_3(c_1(c_2(c_1(c_0(c_2(z0)))))))))))))))))) -> 3(0(2(2(3(2(0(1(3(1(0(2(1(3(3(2(0(3(z0))))))))))))))))))
   3(c_0(c_2(c_0(c_3(c_3(c_0(c_0(c_2(c_2(c_0(c_1(c_0(c_3(c_3(c_1(c_3(c_1(z0)))))))))))))))))) -> 3(0(2(1(0(1(3(3(2(0(0(3(0(3(2(3(1(0(z0))))))))))))))))))
   3(c_3(c_0(c_2(c_1(c_2(c_2(c_0(c_0(c_1(c_3(c_2(c_0(c_0(c_1(c_2(c_3(c_0(z0)))))))))))))))))) -> 0(0(1(1(0(2(2(3(3(2(1(0(0(2(3(3(2(0(z0))))))))))))))))))
   3(c_3(c_0(c_2(c_0(c_2(c_0(c_3(c_3(c_3(c_1(c_0(c_2(c_2(c_2(c_3(c_3(c_0(z0)))))))))))))))))) -> 3(2(2(1(0(3(2(0(0(2(3(3(2(3(3(0(0(3(z0))))))))))))))))))
   3(c_0(c_1(c_0(c_3(c_1(c_2(c_2(c_0(c_1(c_1(c_1(c_3(c_3(c_0(c_2(c_3(c_0(z0)))))))))))))))))) -> 0(3(3(2(1(0(0(2(3(3(1(1(0(1(1(3(2(0(z0))))))))))))))))))
   3(c_1(c_2(c_0(c_1(c_2(c_0(c_3(c_1(c_2(c_1(c_0(c_0(c_2(c_0(c_3(c_0(c_2(z0)))))))))))))))))) -> 3(1(0(2(2(1(3(0(0(2(0(3(2(1(1(0(2(0(z0))))))))))))))))))
   3(c_1(c_3(c_1(c_1(c_3(c_0(c_2(c_0(c_0(c_3(c_0(c_2(c_3(c_1(c_2(c_2(c_2(z0)))))))))))))))))) -> 3(1(3(1(0(3(3(2(1(2(1(2(0(2(3(2(0(0(z0))))))))))))))))))
   3(c_0(c_1(c_2(c_2(c_3(c_0(c_1(c_2(c_1(c_3(c_1(c_3(c_3(c_3(c_1(c_1(c_3(z0)))))))))))))))))) -> 0(2(1(3(3(3(2(1(1(0(1(3(3(2(1(1(3(3(z0))))))))))))))))))
   3(c_0(c_2(c_0(c_3(c_1(c_1(c_3(c_2(c_1(c_3(c_0(c_2(c_0(c_2(c_1(c_1(c_3(z0)))))))))))))))))) -> 1(3(3(2(0(0(0(1(3(3(2(0(1(1(2(1(2(3(z0))))))))))))))))))
   3(c_3(c_0(c_3(c_0(c_0(c_2(c_3(c_0(c_2(c_3(c_3(c_1(c_2(c_2(c_2(c_2(c_0(z0)))))))))))))))))) -> 3(3(0(0(3(2(3(2(0(0(0(2(3(2(1(2(3(2(z0))))))))))))))))))
   3(c_3(c_3(c_3(c_3(c_0(c_3(c_1(c_1(c_3(c_2(c_1(c_1(c_3(c_2(c_2(c_0(c_2(z0)))))))))))))))))) -> 3(3(1(0(1(2(3(2(0(1(1(3(3(3(3(2(3(2(z0))))))))))))))))))
   3(c_2(c_2(c_3(c_0(c_0(c_3(c_0(c_0(c_2(c_3(c_0(c_1(c_1(c_1(c_1(c_3(c_0(z0)))))))))))))))))) -> 3(2(0(3(2(3(0(1(0(1(1(0(3(1(3(0(2(0(z0))))))))))))))))))
   3(c_1(c_3(c_1(c_1(c_3(c_3(c_3(c_2(c_1(c_2(c_3(c_0(c_2(c_1(c_2(c_3(c_0(z0)))))))))))))))))) -> 3(3(3(2(0(1(3(2(0(1(3(3(1(2(1(1(2(3(z0))))))))))))))))))
   3(c_0(c_2(c_2(c_0(c_0(c_1(c_2(c_3(c_0(c_0(c_1(c_1(c_2(c_0(c_1(c_2(c_2(z0)))))))))))))))))) -> 2(3(0(2(3(1(1(0(2(0(2(1(1(0(0(2(0(2(z0))))))))))))))))))
Tuples:
   0'(c_0(c_1(c_3(c_2(c_1(c_0(c_0(c_3(c_2(c_3(c_1(c_3(c_0(c_0(c_2(c_0(c_0(z0)))))))))))))))))) -> c10(0'(0(2(3(2(0(1(0(2(1(0(1(0(3(0(3(0(3(z0)))))))))))))))))), 0'(2(3(2(0(1(0(2(1(0(1(0(3(0(3(0(3(z0))))))))))))))))), 2'(3(2(0(1(0(2(1(0(1(0(3(0(3(0(3(z0)))))))))))))))), 3'(2(0(1(0(2(1(0(1(0(3(0(3(0(3(z0))))))))))))))), 2'(0(1(0(2(1(0(1(0(3(0(3(0(3(z0)))))))))))))), 0'(1(0(2(1(0(1(0(3(0(3(0(3(z0))))))))))))), 1'(0(2(1(0(1(0(3(0(3(0(3(z0)))))))))))), 0'(2(1(0(1(0(3(0(3(0(3(z0))))))))))), 2'(1(0(1(0(3(0(3(0(3(z0)))))))))), 1'(0(1(0(3(0(3(0(3(z0))))))))), 0'(1(0(3(0(3(0(3(z0)))))))), 1'(0(3(0(3(0(3(z0))))))), 0'(3(0(3(0(3(z0)))))), 3'(0(3(0(3(z0))))), 0'(3(0(3(z0)))), 3'(0(3(z0))), 0'(3(z0)), 3'(z0))
   0'(c_3(c_1(c_2(c_3(c_1(c_0(c_3(c_3(c_3(c_1(c_3(c_0(c_3(c_2(c_2(c_1(c_2(z0)))))))))))))))))) -> c11(1'(0(3(1(0(3(3(3(3(2(3(2(3(2(0(2(1(1(z0)))))))))))))))))), 0'(3(1(0(3(3(3(3(2(3(2(3(2(0(2(1(1(z0))))))))))))))))), 3'(1(0(3(3(3(3(2(3(2(3(2(0(2(1(1(z0)))))))))))))))), 1'(0(3(3(3(3(2(3(2(3(2(0(2(1(1(z0))))))))))))))), 0'(3(3(3(3(2(3(2(3(2(0(2(1(1(z0)))))))))))))), 3'(3(3(3(2(3(2(3(2(0(2(1(1(z0))))))))))))), 3'(3(3(2(3(2(3(2(0(2(1(1(z0)))))))))))), 3'(3(2(3(2(3(2(0(2(1(1(z0))))))))))), 3'(2(3(2(3(2(0(2(1(1(z0)))))))))), 2'(3(2(3(2(0(2(1(1(z0))))))))), 3'(2(3(2(0(2(1(1(z0)))))))), 2'(3(2(0(2(1(1(z0))))))), 3'(2(0(2(1(1(z0)))))), 2'(0(2(1(1(z0))))), 0'(2(1(1(z0)))), 2'(1(1(z0))), 1'(1(z0)), 1'(z0))
   0'(c_0(c_3(c_0(c_3(c_1(c_2(c_0(c_3(c_0(c_3(c_1(c_0(c_0(c_1(c_0(c_1(c_3(z0)))))))))))))))))) -> c12(0'(3(0(0(3(3(0(1(0(3(0(1(0(0(2(1(1(3(z0)))))))))))))))))), 3'(0(0(3(3(0(1(0(3(0(1(0(0(2(1(1(3(z0))))))))))))))))), 0'(0(3(3(0(1(0(3(0(1(0(0(2(1(1(3(z0)))))))))))))))), 0'(3(3(0(1(0(3(0(1(0(0(2(1(1(3(z0))))))))))))))), 3'(3(0(1(0(3(0(1(0(0(2(1(1(3(z0)))))))))))))), 3'(0(1(0(3(0(1(0(0(2(1(1(3(z0))))))))))))), 0'(1(0(3(0(1(0(0(2(1(1(3(z0)))))))))))), 1'(0(3(0(1(0(0(2(1(1(3(z0))))))))))), 0'(3(0(1(0(0(2(1(1(3(z0)))))))))), 3'(0(1(0(0(2(1(1(3(z0))))))))), 0'(1(0(0(2(1(1(3(z0)))))))), 1'(0(0(2(1(1(3(z0))))))), 0'(0(2(1(1(3(z0)))))), 0'(2(1(1(3(z0))))), 2'(1(1(3(z0)))), 1'(1(3(z0))), 1'(3(z0)), 3'(z0))
   0'(c_2(c_3(c_3(c_1(c_0(c_3(c_0(c_0(c_0(c_2(c_0(c_1(c_3(c_1(c_3(c_3(c_0(z0)))))))))))))))))) -> c13(0'(3(0(3(3(2(3(2(3(0(0(0(0(1(1(1(3(0(z0)))))))))))))))))), 3'(0(3(3(2(3(2(3(0(0(0(0(1(1(1(3(0(z0))))))))))))))))), 0'(3(3(2(3(2(3(0(0(0(0(1(1(1(3(0(z0)))))))))))))))), 3'(3(2(3(2(3(0(0(0(0(1(1(1(3(0(z0))))))))))))))), 3'(2(3(2(3(0(0(0(0(1(1(1(3(0(z0)))))))))))))), 2'(3(2(3(0(0(0(0(1(1(1(3(0(z0))))))))))))), 3'(2(3(0(0(0(0(1(1(1(3(0(z0)))))))))))), 2'(3(0(0(0(0(1(1(1(3(0(z0))))))))))), 3'(0(0(0(0(1(1(1(3(0(z0)))))))))), 0'(0(0(0(1(1(1(3(0(z0))))))))), 0'(0(0(1(1(1(3(0(z0)))))))), 0'(0(1(1(1(3(0(z0))))))), 0'(1(1(1(3(0(z0)))))), 1'(1(1(3(0(z0))))), 1'(1(3(0(z0)))), 1'(3(0(z0))), 3'(0(z0)), 0'(z0))
   0'(c_0(c_1(c_3(c_1(c_0(c_3(c_1(c_1(c_3(c_1(c_2(c_3(c_1(c_2(c_2(c_1(c_1(z0)))))))))))))))))) -> c14(0'(3(0(2(1(0(3(2(1(1(2(1(3(1(3(1(1(1(z0)))))))))))))))))), 3'(0(2(1(0(3(2(1(1(2(1(3(1(3(1(1(1(z0))))))))))))))))), 0'(2(1(0(3(2(1(1(2(1(3(1(3(1(1(1(z0)))))))))))))))), 2'(1(0(3(2(1(1(2(1(3(1(3(1(1(1(z0))))))))))))))), 1'(0(3(2(1(1(2(1(3(1(3(1(1(1(z0)))))))))))))), 0'(3(2(1(1(2(1(3(1(3(1(1(1(z0))))))))))))), 3'(2(1(1(2(1(3(1(3(1(1(1(z0)))))))))))), 2'(1(1(2(1(3(1(3(1(1(1(z0))))))))))), 1'(1(2(1(3(1(3(1(1(1(z0)))))))))), 1'(2(1(3(1(3(1(1(1(z0))))))))), 2'(1(3(1(3(1(1(1(z0)))))))), 1'(3(1(3(1(1(1(z0))))))), 3'(1(3(1(1(1(z0)))))), 1'(3(1(1(1(z0))))), 3'(1(1(1(z0)))), 1'(1(1(z0))), 1'(1(z0)), 1'(z0))
   0'(c_0(c_3(c_2(c_1(c_3(c_1(c_3(c_3(c_0(c_1(c_2(c_0(c_0(c_0(c_2(c_0(c_2(z0)))))))))))))))))) -> c15(0'(3(0(0(2(1(3(1(2(3(2(1(0(0(0(3(2(0(z0)))))))))))))))))), 3'(0(0(2(1(3(1(2(3(2(1(0(0(0(3(2(0(z0))))))))))))))))), 0'(0(2(1(3(1(2(3(2(1(0(0(0(3(2(0(z0)))))))))))))))), 0'(2(1(3(1(2(3(2(1(0(0(0(3(2(0(z0))))))))))))))), 2'(1(3(1(2(3(2(1(0(0(0(3(2(0(z0)))))))))))))), 1'(3(1(2(3(2(1(0(0(0(3(2(0(z0))))))))))))), 3'(1(2(3(2(1(0(0(0(3(2(0(z0)))))))))))), 1'(2(3(2(1(0(0(0(3(2(0(z0))))))))))), 2'(3(2(1(0(0(0(3(2(0(z0)))))))))), 3'(2(1(0(0(0(3(2(0(z0))))))))), 2'(1(0(0(0(3(2(0(z0)))))))), 1'(0(0(0(3(2(0(z0))))))), 0'(0(0(3(2(0(z0)))))), 0'(0(3(2(0(z0))))), 0'(3(2(0(z0)))), 3'(2(0(z0))), 2'(0(z0)), 0'(z0))
   0'(c_3(c_3(c_3(c_1(c_2(c_0(c_0(c_3(c_2(c_0(c_1(c_2(c_1(c_3(c_0(c_2(c_0(z0)))))))))))))))))) -> c16(0'(2(1(0(1(0(1(0(0(3(3(2(3(0(2(3(2(3(z0)))))))))))))))))), 2'(1(0(1(0(1(0(0(3(3(2(3(0(2(3(2(3(z0))))))))))))))))), 1'(0(1(0(1(0(0(3(3(2(3(0(2(3(2(3(z0)))))))))))))))), 0'(1(0(1(0(0(3(3(2(3(0(2(3(2(3(z0))))))))))))))), 1'(0(1(0(0(3(3(2(3(0(2(3(2(3(z0)))))))))))))), 0'(1(0(0(3(3(2(3(0(2(3(2(3(z0))))))))))))), 1'(0(0(3(3(2(3(0(2(3(2(3(z0)))))))))))), 0'(0(3(3(2(3(0(2(3(2(3(z0))))))))))), 0'(3(3(2(3(0(2(3(2(3(z0)))))))))), 3'(3(2(3(0(2(3(2(3(z0))))))))), 3'(2(3(0(2(3(2(3(z0)))))))), 2'(3(0(2(3(2(3(z0))))))), 3'(0(2(3(2(3(z0)))))), 0'(2(3(2(3(z0))))), 2'(3(2(3(z0)))), 3'(2(3(z0))), 2'(3(z0)), 3'(z0))
   0'(c_0(c_1(c_2(c_0(c_0(c_3(c_3(c_2(c_1(c_3(c_3(c_3(c_1(c_1(c_1(c_1(c_2(z0)))))))))))))))))) -> c17(0'(0(3(3(1(0(2(3(2(1(1(3(1(1(1(3(2(0(z0)))))))))))))))))), 0'(3(3(1(0(2(3(2(1(1(3(1(1(1(3(2(0(z0))))))))))))))))), 3'(3(1(0(2(3(2(1(1(3(1(1(1(3(2(0(z0)))))))))))))))), 3'(1(0(2(3(2(1(1(3(1(1(1(3(2(0(z0))))))))))))))), 1'(0(2(3(2(1(1(3(1(1(1(3(2(0(z0)))))))))))))), 0'(2(3(2(1(1(3(1(1(1(3(2(0(z0))))))))))))), 2'(3(2(1(1(3(1(1(1(3(2(0(z0)))))))))))), 3'(2(1(1(3(1(1(1(3(2(0(z0))))))))))), 2'(1(1(3(1(1(1(3(2(0(z0)))))))))), 1'(1(3(1(1(1(3(2(0(z0))))))))), 1'(3(1(1(1(3(2(0(z0)))))))), 3'(1(1(1(3(2(0(z0))))))), 1'(1(1(3(2(0(z0)))))), 1'(1(3(2(0(z0))))), 1'(3(2(0(z0)))), 3'(2(0(z0))), 2'(0(z0)), 0'(z0))
   0'(c_0(c_1(c_1(c_1(c_3(c_2(c_2(c_2(c_1(c_3(c_2(c_3(c_0(c_0(c_0(c_0(c_0(z0)))))))))))))))))) -> c18(1'(0(0(3(2(0(1(3(2(0(0(2(3(1(0(2(1(0(z0)))))))))))))))))), 0'(0(3(2(0(1(3(2(0(0(2(3(1(0(2(1(0(z0))))))))))))))))), 0'(3(2(0(1(3(2(0(0(2(3(1(0(2(1(0(z0)))))))))))))))), 3'(2(0(1(3(2(0(0(2(3(1(0(2(1(0(z0))))))))))))))), 2'(0(1(3(2(0(0(2(3(1(0(2(1(0(z0)))))))))))))), 0'(1(3(2(0(0(2(3(1(0(2(1(0(z0))))))))))))), 1'(3(2(0(0(2(3(1(0(2(1(0(z0)))))))))))), 3'(2(0(0(2(3(1(0(2(1(0(z0))))))))))), 2'(0(0(2(3(1(0(2(1(0(z0)))))))))), 0'(0(2(3(1(0(2(1(0(z0))))))))), 0'(2(3(1(0(2(1(0(z0)))))))), 2'(3(1(0(2(1(0(z0))))))), 3'(1(0(2(1(0(z0)))))), 1'(0(2(1(0(z0))))), 0'(2(1(0(z0)))), 2'(1(0(z0))), 1'(0(z0)), 0'(z0))
   0'(c_3(c_0(c_3(c_2(c_2(c_0(c_3(c_3(c_1(c_0(c_0(c_3(c_0(c_3(c_0(c_1(c_0(z0)))))))))))))))))) -> c19(0'(3(0(0(3(3(3(2(1(3(2(0(0(1(3(0(0(0(z0)))))))))))))))))), 3'(0(0(3(3(3(2(1(3(2(0(0(1(3(0(0(0(z0))))))))))))))))), 0'(0(3(3(3(2(1(3(2(0(0(1(3(0(0(0(z0)))))))))))))))), 0'(3(3(3(2(1(3(2(0(0(1(3(0(0(0(z0))))))))))))))), 3'(3(3(2(1(3(2(0(0(1(3(0(0(0(z0)))))))))))))), 3'(3(2(1(3(2(0(0(1(3(0(0(0(z0))))))))))))), 3'(2(1(3(2(0(0(1(3(0(0(0(z0)))))))))))), 2'(1(3(2(0(0(1(3(0(0(0(z0))))))))))), 1'(3(2(0(0(1(3(0(0(0(z0)))))))))), 3'(2(0(0(1(3(0(0(0(z0))))))))), 2'(0(0(1(3(0(0(0(z0)))))))), 0'(0(1(3(0(0(0(z0))))))), 0'(1(3(0(0(0(z0)))))), 1'(3(0(0(0(z0))))), 3'(0(0(0(z0)))), 0'(0(0(z0))), 0'(0(z0)), 0'(z0))
   0'(c_0(c_0(c_3(c_0(c_3(c_0(c_1(c_2(c_1(c_0(c_0(c_0(c_1(c_2(c_3(c_3(c_3(z0)))))))))))))))))) -> c20(0'(0(0(2(3(0(0(0(0(1(1(3(1(0(2(3(3(3(z0)))))))))))))))))), 0'(0(2(3(0(0(0(0(1(1(3(1(0(2(3(3(3(z0))))))))))))))))), 0'(2(3(0(0(0(0(1(1(3(1(0(2(3(3(3(z0)))))))))))))))), 2'(3(0(0(0(0(1(1(3(1(0(2(3(3(3(z0))))))))))))))), 3'(0(0(0(0(1(1(3(1(0(2(3(3(3(z0)))))))))))))), 0'(0(0(0(1(1(3(1(0(2(3(3(3(z0))))))))))))), 0'(0(0(1(1(3(1(0(2(3(3(3(z0)))))))))))), 0'(0(1(1(3(1(0(2(3(3(3(z0))))))))))), 0'(1(1(3(1(0(2(3(3(3(z0)))))))))), 1'(1(3(1(0(2(3(3(3(z0))))))))), 1'(3(1(0(2(3(3(3(z0)))))))), 3'(1(0(2(3(3(3(z0))))))), 1'(0(2(3(3(3(z0)))))), 0'(2(3(3(3(z0))))), 2'(3(3(3(z0)))), 3'(3(3(z0))), 3'(3(z0)), 3'(z0))
   0'(c_0(c_3(c_0(c_3(c_3(c_3(c_1(c_1(c_1(c_3(c_1(c_1(c_2(c_1(c_2(c_3(c_0(z0)))))))))))))))))) -> c21(0'(3(3(1(2(1(3(0(3(3(2(0(1(1(0(1(1(3(z0)))))))))))))))))), 3'(3(1(2(1(3(0(3(3(2(0(1(1(0(1(1(3(z0))))))))))))))))), 3'(1(2(1(3(0(3(3(2(0(1(1(0(1(1(3(z0)))))))))))))))), 1'(2(1(3(0(3(3(2(0(1(1(0(1(1(3(z0))))))))))))))), 2'(1(3(0(3(3(2(0(1(1(0(1(1(3(z0)))))))))))))), 1'(3(0(3(3(2(0(1(1(0(1(1(3(z0))))))))))))), 3'(0(3(3(2(0(1(1(0(1(1(3(z0)))))))))))), 0'(3(3(2(0(1(1(0(1(1(3(z0))))))))))), 3'(3(2(0(1(1(0(1(1(3(z0)))))))))), 3'(2(0(1(1(0(1(1(3(z0))))))))), 2'(0(1(1(0(1(1(3(z0)))))))), 0'(1(1(0(1(1(3(z0))))))), 1'(1(0(1(1(3(z0)))))), 1'(0(1(1(3(z0))))), 0'(1(1(3(z0)))), 1'(1(3(z0))), 1'(3(z0)), 3'(z0))
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   3'(c_3(c_0(c_2(c_1(c_2(c_2(c_0(c_0(c_1(c_3(c_2(c_0(c_0(c_1(c_2(c_3(c_0(z0)))))))))))))))))) -> c80(0'(0(1(1(0(2(2(3(3(2(1(0(0(2(3(3(2(0(z0)))))))))))))))))), 0'(1(1(0(2(2(3(3(2(1(0(0(2(3(3(2(0(z0))))))))))))))))), 1'(1(0(2(2(3(3(2(1(0(0(2(3(3(2(0(z0)))))))))))))))), 1'(0(2(2(3(3(2(1(0(0(2(3(3(2(0(z0))))))))))))))), 0'(2(2(3(3(2(1(0(0(2(3(3(2(0(z0)))))))))))))), 2'(2(3(3(2(1(0(0(2(3(3(2(0(z0))))))))))))), 2'(3(3(2(1(0(0(2(3(3(2(0(z0)))))))))))), 3'(3(2(1(0(0(2(3(3(2(0(z0))))))))))), 3'(2(1(0(0(2(3(3(2(0(z0)))))))))), 2'(1(0(0(2(3(3(2(0(z0))))))))), 1'(0(0(2(3(3(2(0(z0)))))))), 0'(0(2(3(3(2(0(z0))))))), 0'(2(3(3(2(0(z0)))))), 2'(3(3(2(0(z0))))), 3'(3(2(0(z0)))), 3'(2(0(z0))), 2'(0(z0)), 0'(z0))
   3'(c_3(c_0(c_2(c_0(c_2(c_0(c_3(c_3(c_3(c_1(c_0(c_2(c_2(c_2(c_3(c_3(c_0(z0)))))))))))))))))) -> c81(3'(2(2(1(0(3(2(0(0(2(3(3(2(3(3(0(0(3(z0)))))))))))))))))), 2'(2(1(0(3(2(0(0(2(3(3(2(3(3(0(0(3(z0))))))))))))))))), 2'(1(0(3(2(0(0(2(3(3(2(3(3(0(0(3(z0)))))))))))))))), 1'(0(3(2(0(0(2(3(3(2(3(3(0(0(3(z0))))))))))))))), 0'(3(2(0(0(2(3(3(2(3(3(0(0(3(z0)))))))))))))), 3'(2(0(0(2(3(3(2(3(3(0(0(3(z0))))))))))))), 2'(0(0(2(3(3(2(3(3(0(0(3(z0)))))))))))), 0'(0(2(3(3(2(3(3(0(0(3(z0))))))))))), 0'(2(3(3(2(3(3(0(0(3(z0)))))))))), 2'(3(3(2(3(3(0(0(3(z0))))))))), 3'(3(2(3(3(0(0(3(z0)))))))), 3'(2(3(3(0(0(3(z0))))))), 2'(3(3(0(0(3(z0)))))), 3'(3(0(0(3(z0))))), 3'(0(0(3(z0)))), 0'(0(3(z0))), 0'(3(z0)), 3'(z0))
   3'(c_0(c_1(c_0(c_3(c_1(c_2(c_2(c_0(c_1(c_1(c_1(c_3(c_3(c_0(c_2(c_3(c_0(z0)))))))))))))))))) -> c82(0'(3(3(2(1(0(0(2(3(3(1(1(0(1(1(3(2(0(z0)))))))))))))))))), 3'(3(2(1(0(0(2(3(3(1(1(0(1(1(3(2(0(z0))))))))))))))))), 3'(2(1(0(0(2(3(3(1(1(0(1(1(3(2(0(z0)))))))))))))))), 2'(1(0(0(2(3(3(1(1(0(1(1(3(2(0(z0))))))))))))))), 1'(0(0(2(3(3(1(1(0(1(1(3(2(0(z0)))))))))))))), 0'(0(2(3(3(1(1(0(1(1(3(2(0(z0))))))))))))), 0'(2(3(3(1(1(0(1(1(3(2(0(z0)))))))))))), 2'(3(3(1(1(0(1(1(3(2(0(z0))))))))))), 3'(3(1(1(0(1(1(3(2(0(z0)))))))))), 3'(1(1(0(1(1(3(2(0(z0))))))))), 1'(1(0(1(1(3(2(0(z0)))))))), 1'(0(1(1(3(2(0(z0))))))), 0'(1(1(3(2(0(z0)))))), 1'(1(3(2(0(z0))))), 1'(3(2(0(z0)))), 3'(2(0(z0))), 2'(0(z0)), 0'(z0))
   3'(c_1(c_2(c_0(c_1(c_2(c_0(c_3(c_1(c_2(c_1(c_0(c_0(c_2(c_0(c_3(c_0(c_2(z0)))))))))))))))))) -> c83(3'(1(0(2(2(1(3(0(0(2(0(3(2(1(1(0(2(0(z0)))))))))))))))))), 1'(0(2(2(1(3(0(0(2(0(3(2(1(1(0(2(0(z0))))))))))))))))), 0'(2(2(1(3(0(0(2(0(3(2(1(1(0(2(0(z0)))))))))))))))), 2'(2(1(3(0(0(2(0(3(2(1(1(0(2(0(z0))))))))))))))), 2'(1(3(0(0(2(0(3(2(1(1(0(2(0(z0)))))))))))))), 1'(3(0(0(2(0(3(2(1(1(0(2(0(z0))))))))))))), 3'(0(0(2(0(3(2(1(1(0(2(0(z0)))))))))))), 0'(0(2(0(3(2(1(1(0(2(0(z0))))))))))), 0'(2(0(3(2(1(1(0(2(0(z0)))))))))), 2'(0(3(2(1(1(0(2(0(z0))))))))), 0'(3(2(1(1(0(2(0(z0)))))))), 3'(2(1(1(0(2(0(z0))))))), 2'(1(1(0(2(0(z0)))))), 1'(1(0(2(0(z0))))), 1'(0(2(0(z0)))), 0'(2(0(z0))), 2'(0(z0)), 0'(z0))
   3'(c_1(c_3(c_1(c_1(c_3(c_0(c_2(c_0(c_0(c_3(c_0(c_2(c_3(c_1(c_2(c_2(c_2(z0)))))))))))))))))) -> c84(3'(1(3(1(0(3(3(2(1(2(1(2(0(2(3(2(0(0(z0)))))))))))))))))), 1'(3(1(0(3(3(2(1(2(1(2(0(2(3(2(0(0(z0))))))))))))))))), 3'(1(0(3(3(2(1(2(1(2(0(2(3(2(0(0(z0)))))))))))))))), 1'(0(3(3(2(1(2(1(2(0(2(3(2(0(0(z0))))))))))))))), 0'(3(3(2(1(2(1(2(0(2(3(2(0(0(z0)))))))))))))), 3'(3(2(1(2(1(2(0(2(3(2(0(0(z0))))))))))))), 3'(2(1(2(1(2(0(2(3(2(0(0(z0)))))))))))), 2'(1(2(1(2(0(2(3(2(0(0(z0))))))))))), 1'(2(1(2(0(2(3(2(0(0(z0)))))))))), 2'(1(2(0(2(3(2(0(0(z0))))))))), 1'(2(0(2(3(2(0(0(z0)))))))), 2'(0(2(3(2(0(0(z0))))))), 0'(2(3(2(0(0(z0)))))), 2'(3(2(0(0(z0))))), 3'(2(0(0(z0)))), 2'(0(0(z0))), 0'(0(z0)), 0'(z0))
   3'(c_0(c_1(c_2(c_2(c_3(c_0(c_1(c_2(c_1(c_3(c_1(c_3(c_3(c_3(c_1(c_1(c_3(z0)))))))))))))))))) -> c85(0'(2(1(3(3(3(2(1(1(0(1(3(3(2(1(1(3(3(z0)))))))))))))))))), 2'(1(3(3(3(2(1(1(0(1(3(3(2(1(1(3(3(z0))))))))))))))))), 1'(3(3(3(2(1(1(0(1(3(3(2(1(1(3(3(z0)))))))))))))))), 3'(3(3(2(1(1(0(1(3(3(2(1(1(3(3(z0))))))))))))))), 3'(3(2(1(1(0(1(3(3(2(1(1(3(3(z0)))))))))))))), 3'(2(1(1(0(1(3(3(2(1(1(3(3(z0))))))))))))), 2'(1(1(0(1(3(3(2(1(1(3(3(z0)))))))))))), 1'(1(0(1(3(3(2(1(1(3(3(z0))))))))))), 1'(0(1(3(3(2(1(1(3(3(z0)))))))))), 0'(1(3(3(2(1(1(3(3(z0))))))))), 1'(3(3(2(1(1(3(3(z0)))))))), 3'(3(2(1(1(3(3(z0))))))), 3'(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_2(c_0(c_3(c_1(c_1(c_3(c_2(c_1(c_3(c_0(c_2(c_0(c_2(c_1(c_1(c_3(z0)))))))))))))))))) -> c86(1'(3(3(2(0(0(0(1(3(3(2(0(1(1(2(1(2(3(z0)))))))))))))))))), 3'(3(2(0(0(0(1(3(3(2(0(1(1(2(1(2(3(z0))))))))))))))))), 3'(2(0(0(0(1(3(3(2(0(1(1(2(1(2(3(z0)))))))))))))))), 2'(0(0(0(1(3(3(2(0(1(1(2(1(2(3(z0))))))))))))))), 0'(0(0(1(3(3(2(0(1(1(2(1(2(3(z0)))))))))))))), 0'(0(1(3(3(2(0(1(1(2(1(2(3(z0))))))))))))), 0'(1(3(3(2(0(1(1(2(1(2(3(z0)))))))))))), 1'(3(3(2(0(1(1(2(1(2(3(z0))))))))))), 3'(3(2(0(1(1(2(1(2(3(z0)))))))))), 3'(2(0(1(1(2(1(2(3(z0))))))))), 2'(0(1(1(2(1(2(3(z0)))))))), 0'(1(1(2(1(2(3(z0))))))), 1'(1(2(1(2(3(z0)))))), 1'(2(1(2(3(z0))))), 2'(1(2(3(z0)))), 1'(2(3(z0))), 2'(3(z0)), 3'(z0))
   3'(c_3(c_0(c_3(c_0(c_0(c_2(c_3(c_0(c_2(c_3(c_3(c_1(c_2(c_2(c_2(c_2(c_0(z0)))))))))))))))))) -> c87(3'(3(0(0(3(2(3(2(0(0(0(2(3(2(1(2(3(2(z0)))))))))))))))))), 3'(0(0(3(2(3(2(0(0(0(2(3(2(1(2(3(2(z0))))))))))))))))), 0'(0(3(2(3(2(0(0(0(2(3(2(1(2(3(2(z0)))))))))))))))), 0'(3(2(3(2(0(0(0(2(3(2(1(2(3(2(z0))))))))))))))), 3'(2(3(2(0(0(0(2(3(2(1(2(3(2(z0)))))))))))))), 2'(3(2(0(0(0(2(3(2(1(2(3(2(z0))))))))))))), 3'(2(0(0(0(2(3(2(1(2(3(2(z0)))))))))))), 2'(0(0(0(2(3(2(1(2(3(2(z0))))))))))), 0'(0(0(2(3(2(1(2(3(2(z0)))))))))), 0'(0(2(3(2(1(2(3(2(z0))))))))), 0'(2(3(2(1(2(3(2(z0)))))))), 2'(3(2(1(2(3(2(z0))))))), 3'(2(1(2(3(2(z0)))))), 2'(1(2(3(2(z0))))), 1'(2(3(2(z0)))), 2'(3(2(z0))), 3'(2(z0)), 2'(z0))
   3'(c_3(c_3(c_3(c_3(c_0(c_3(c_1(c_1(c_3(c_2(c_1(c_1(c_3(c_2(c_2(c_0(c_2(z0)))))))))))))))))) -> c88(3'(3(1(0(1(2(3(2(0(1(1(3(3(3(3(2(3(2(z0)))))))))))))))))), 3'(1(0(1(2(3(2(0(1(1(3(3(3(3(2(3(2(z0))))))))))))))))), 1'(0(1(2(3(2(0(1(1(3(3(3(3(2(3(2(z0)))))))))))))))), 0'(1(2(3(2(0(1(1(3(3(3(3(2(3(2(z0))))))))))))))), 1'(2(3(2(0(1(1(3(3(3(3(2(3(2(z0)))))))))))))), 2'(3(2(0(1(1(3(3(3(3(2(3(2(z0))))))))))))), 3'(2(0(1(1(3(3(3(3(2(3(2(z0)))))))))))), 2'(0(1(1(3(3(3(3(2(3(2(z0))))))))))), 0'(1(1(3(3(3(3(2(3(2(z0)))))))))), 1'(1(3(3(3(3(2(3(2(z0))))))))), 1'(3(3(3(3(2(3(2(z0)))))))), 3'(3(3(3(2(3(2(z0))))))), 3'(3(3(2(3(2(z0)))))), 3'(3(2(3(2(z0))))), 3'(2(3(2(z0)))), 2'(3(2(z0))), 3'(2(z0)), 2'(z0))
   3'(c_2(c_2(c_3(c_0(c_0(c_3(c_0(c_0(c_2(c_3(c_0(c_1(c_1(c_1(c_1(c_3(c_0(z0)))))))))))))))))) -> c89(3'(2(0(3(2(3(0(1(0(1(1(0(3(1(3(0(2(0(z0)))))))))))))))))), 2'(0(3(2(3(0(1(0(1(1(0(3(1(3(0(2(0(z0))))))))))))))))), 0'(3(2(3(0(1(0(1(1(0(3(1(3(0(2(0(z0)))))))))))))))), 3'(2(3(0(1(0(1(1(0(3(1(3(0(2(0(z0))))))))))))))), 2'(3(0(1(0(1(1(0(3(1(3(0(2(0(z0)))))))))))))), 3'(0(1(0(1(1(0(3(1(3(0(2(0(z0))))))))))))), 0'(1(0(1(1(0(3(1(3(0(2(0(z0)))))))))))), 1'(0(1(1(0(3(1(3(0(2(0(z0))))))))))), 0'(1(1(0(3(1(3(0(2(0(z0)))))))))), 1'(1(0(3(1(3(0(2(0(z0))))))))), 1'(0(3(1(3(0(2(0(z0)))))))), 0'(3(1(3(0(2(0(z0))))))), 3'(1(3(0(2(0(z0)))))), 1'(3(0(2(0(z0))))), 3'(0(2(0(z0)))), 0'(2(0(z0))), 2'(0(z0)), 0'(z0))
   3'(c_1(c_3(c_1(c_1(c_3(c_3(c_3(c_2(c_1(c_2(c_3(c_0(c_2(c_1(c_2(c_3(c_0(z0)))))))))))))))))) -> c90(3'(3(3(2(0(1(3(2(0(1(3(3(1(2(1(1(2(3(z0)))))))))))))))))), 3'(3(2(0(1(3(2(0(1(3(3(1(2(1(1(2(3(z0))))))))))))))))), 3'(2(0(1(3(2(0(1(3(3(1(2(1(1(2(3(z0)))))))))))))))), 2'(0(1(3(2(0(1(3(3(1(2(1(1(2(3(z0))))))))))))))), 0'(1(3(2(0(1(3(3(1(2(1(1(2(3(z0)))))))))))))), 1'(3(2(0(1(3(3(1(2(1(1(2(3(z0))))))))))))), 3'(2(0(1(3(3(1(2(1(1(2(3(z0)))))))))))), 2'(0(1(3(3(1(2(1(1(2(3(z0))))))))))), 0'(1(3(3(1(2(1(1(2(3(z0)))))))))), 1'(3(3(1(2(1(1(2(3(z0))))))))), 3'(3(1(2(1(1(2(3(z0)))))))), 3'(1(2(1(1(2(3(z0))))))), 1'(2(1(1(2(3(z0)))))), 2'(1(1(2(3(z0))))), 1'(1(2(3(z0)))), 1'(2(3(z0))), 2'(3(z0)), 3'(z0))
   3'(c_0(c_2(c_2(c_0(c_0(c_1(c_2(c_3(c_0(c_0(c_1(c_1(c_2(c_0(c_1(c_2(c_2(z0)))))))))))))))))) -> c91(2'(3(0(2(3(1(1(0(2(0(2(1(1(0(0(2(0(2(z0)))))))))))))))))), 3'(0(2(3(1(1(0(2(0(2(1(1(0(0(2(0(2(z0))))))))))))))))), 0'(2(3(1(1(0(2(0(2(1(1(0(0(2(0(2(z0)))))))))))))))), 2'(3(1(1(0(2(0(2(1(1(0(0(2(0(2(z0))))))))))))))), 3'(1(1(0(2(0(2(1(1(0(0(2(0(2(z0)))))))))))))), 1'(1(0(2(0(2(1(1(0(0(2(0(2(z0))))))))))))), 1'(0(2(0(2(1(1(0(0(2(0(2(z0)))))))))))), 0'(2(0(2(1(1(0(0(2(0(2(z0))))))))))), 2'(0(2(1(1(0(0(2(0(2(z0)))))))))), 0'(2(1(1(0(0(2(0(2(z0))))))))), 2'(1(1(0(0(2(0(2(z0)))))))), 1'(1(0(0(2(0(2(z0))))))), 1'(0(0(2(0(2(z0)))))), 0'(0(2(0(2(z0))))), 0'(2(0(2(z0)))), 2'(0(2(z0))), 0'(2(z0)), 2'(z0))
   ENCODE_0(z0) -> c8(0'(encArg(z0)))
   ENCODE_3(z0) -> c8(3'(encArg(z0)))
   ENCODE_1(z0) -> c8(1'(encArg(z0)))
   ENCODE_2(z0) -> c8(2'(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)))
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S tuples:
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   0'(c_0(c_3(c_2(c_1(c_3(c_1(c_3(c_3(c_0(c_1(c_2(c_0(c_0(c_0(c_2(c_0(c_2(z0)))))))))))))))))) -> c15(0'(3(0(0(2(1(3(1(2(3(2(1(0(0(0(3(2(0(z0)))))))))))))))))), 3'(0(0(2(1(3(1(2(3(2(1(0(0(0(3(2(0(z0))))))))))))))))), 0'(0(2(1(3(1(2(3(2(1(0(0(0(3(2(0(z0)))))))))))))))), 0'(2(1(3(1(2(3(2(1(0(0(0(3(2(0(z0))))))))))))))), 2'(1(3(1(2(3(2(1(0(0(0(3(2(0(z0)))))))))))))), 1'(3(1(2(3(2(1(0(0(0(3(2(0(z0))))))))))))), 3'(1(2(3(2(1(0(0(0(3(2(0(z0)))))))))))), 1'(2(3(2(1(0(0(0(3(2(0(z0))))))))))), 2'(3(2(1(0(0(0(3(2(0(z0)))))))))), 3'(2(1(0(0(0(3(2(0(z0))))))))), 2'(1(0(0(0(3(2(0(z0)))))))), 1'(0(0(0(3(2(0(z0))))))), 0'(0(0(3(2(0(z0)))))), 0'(0(3(2(0(z0))))), 0'(3(2(0(z0)))), 3'(2(0(z0))), 2'(0(z0)), 0'(z0))
   0'(c_3(c_3(c_3(c_1(c_2(c_0(c_0(c_3(c_2(c_0(c_1(c_2(c_1(c_3(c_0(c_2(c_0(z0)))))))))))))))))) -> c16(0'(2(1(0(1(0(1(0(0(3(3(2(3(0(2(3(2(3(z0)))))))))))))))))), 2'(1(0(1(0(1(0(0(3(3(2(3(0(2(3(2(3(z0))))))))))))))))), 1'(0(1(0(1(0(0(3(3(2(3(0(2(3(2(3(z0)))))))))))))))), 0'(1(0(1(0(0(3(3(2(3(0(2(3(2(3(z0))))))))))))))), 1'(0(1(0(0(3(3(2(3(0(2(3(2(3(z0)))))))))))))), 0'(1(0(0(3(3(2(3(0(2(3(2(3(z0))))))))))))), 1'(0(0(3(3(2(3(0(2(3(2(3(z0)))))))))))), 0'(0(3(3(2(3(0(2(3(2(3(z0))))))))))), 0'(3(3(2(3(0(2(3(2(3(z0)))))))))), 3'(3(2(3(0(2(3(2(3(z0))))))))), 3'(2(3(0(2(3(2(3(z0)))))))), 2'(3(0(2(3(2(3(z0))))))), 3'(0(2(3(2(3(z0)))))), 0'(2(3(2(3(z0))))), 2'(3(2(3(z0)))), 3'(2(3(z0))), 2'(3(z0)), 3'(z0))
   0'(c_0(c_1(c_2(c_0(c_0(c_3(c_3(c_2(c_1(c_3(c_3(c_3(c_1(c_1(c_1(c_1(c_2(z0)))))))))))))))))) -> c17(0'(0(3(3(1(0(2(3(2(1(1(3(1(1(1(3(2(0(z0)))))))))))))))))), 0'(3(3(1(0(2(3(2(1(1(3(1(1(1(3(2(0(z0))))))))))))))))), 3'(3(1(0(2(3(2(1(1(3(1(1(1(3(2(0(z0)))))))))))))))), 3'(1(0(2(3(2(1(1(3(1(1(1(3(2(0(z0))))))))))))))), 1'(0(2(3(2(1(1(3(1(1(1(3(2(0(z0)))))))))))))), 0'(2(3(2(1(1(3(1(1(1(3(2(0(z0))))))))))))), 2'(3(2(1(1(3(1(1(1(3(2(0(z0)))))))))))), 3'(2(1(1(3(1(1(1(3(2(0(z0))))))))))), 2'(1(1(3(1(1(1(3(2(0(z0)))))))))), 1'(1(3(1(1(1(3(2(0(z0))))))))), 1'(3(1(1(1(3(2(0(z0)))))))), 3'(1(1(1(3(2(0(z0))))))), 1'(1(1(3(2(0(z0)))))), 1'(1(3(2(0(z0))))), 1'(3(2(0(z0)))), 3'(2(0(z0))), 2'(0(z0)), 0'(z0))
   0'(c_0(c_1(c_1(c_1(c_3(c_2(c_2(c_2(c_1(c_3(c_2(c_3(c_0(c_0(c_0(c_0(c_0(z0)))))))))))))))))) -> c18(1'(0(0(3(2(0(1(3(2(0(0(2(3(1(0(2(1(0(z0)))))))))))))))))), 0'(0(3(2(0(1(3(2(0(0(2(3(1(0(2(1(0(z0))))))))))))))))), 0'(3(2(0(1(3(2(0(0(2(3(1(0(2(1(0(z0)))))))))))))))), 3'(2(0(1(3(2(0(0(2(3(1(0(2(1(0(z0))))))))))))))), 2'(0(1(3(2(0(0(2(3(1(0(2(1(0(z0)))))))))))))), 0'(1(3(2(0(0(2(3(1(0(2(1(0(z0))))))))))))), 1'(3(2(0(0(2(3(1(0(2(1(0(z0)))))))))))), 3'(2(0(0(2(3(1(0(2(1(0(z0))))))))))), 2'(0(0(2(3(1(0(2(1(0(z0)))))))))), 0'(0(2(3(1(0(2(1(0(z0))))))))), 0'(2(3(1(0(2(1(0(z0)))))))), 2'(3(1(0(2(1(0(z0))))))), 3'(1(0(2(1(0(z0)))))), 1'(0(2(1(0(z0))))), 0'(2(1(0(z0)))), 2'(1(0(z0))), 1'(0(z0)), 0'(z0))
   0'(c_3(c_0(c_3(c_2(c_2(c_0(c_3(c_3(c_1(c_0(c_0(c_3(c_0(c_3(c_0(c_1(c_0(z0)))))))))))))))))) -> c19(0'(3(0(0(3(3(3(2(1(3(2(0(0(1(3(0(0(0(z0)))))))))))))))))), 3'(0(0(3(3(3(2(1(3(2(0(0(1(3(0(0(0(z0))))))))))))))))), 0'(0(3(3(3(2(1(3(2(0(0(1(3(0(0(0(z0)))))))))))))))), 0'(3(3(3(2(1(3(2(0(0(1(3(0(0(0(z0))))))))))))))), 3'(3(3(2(1(3(2(0(0(1(3(0(0(0(z0)))))))))))))), 3'(3(2(1(3(2(0(0(1(3(0(0(0(z0))))))))))))), 3'(2(1(3(2(0(0(1(3(0(0(0(z0)))))))))))), 2'(1(3(2(0(0(1(3(0(0(0(z0))))))))))), 1'(3(2(0(0(1(3(0(0(0(z0)))))))))), 3'(2(0(0(1(3(0(0(0(z0))))))))), 2'(0(0(1(3(0(0(0(z0)))))))), 0'(0(1(3(0(0(0(z0))))))), 0'(1(3(0(0(0(z0)))))), 1'(3(0(0(0(z0))))), 3'(0(0(0(z0)))), 0'(0(0(z0))), 0'(0(z0)), 0'(z0))
   0'(c_0(c_0(c_3(c_0(c_3(c_0(c_1(c_2(c_1(c_0(c_0(c_0(c_1(c_2(c_3(c_3(c_3(z0)))))))))))))))))) -> c20(0'(0(0(2(3(0(0(0(0(1(1(3(1(0(2(3(3(3(z0)))))))))))))))))), 0'(0(2(3(0(0(0(0(1(1(3(1(0(2(3(3(3(z0))))))))))))))))), 0'(2(3(0(0(0(0(1(1(3(1(0(2(3(3(3(z0)))))))))))))))), 2'(3(0(0(0(0(1(1(3(1(0(2(3(3(3(z0))))))))))))))), 3'(0(0(0(0(1(1(3(1(0(2(3(3(3(z0)))))))))))))), 0'(0(0(0(1(1(3(1(0(2(3(3(3(z0))))))))))))), 0'(0(0(1(1(3(1(0(2(3(3(3(z0)))))))))))), 0'(0(1(1(3(1(0(2(3(3(3(z0))))))))))), 0'(1(1(3(1(0(2(3(3(3(z0)))))))))), 1'(1(3(1(0(2(3(3(3(z0))))))))), 1'(3(1(0(2(3(3(3(z0)))))))), 3'(1(0(2(3(3(3(z0))))))), 1'(0(2(3(3(3(z0)))))), 0'(2(3(3(3(z0))))), 2'(3(3(3(z0)))), 3'(3(3(z0))), 3'(3(z0)), 3'(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_3_1, ENCODE_1_1, ENCODE_2_1, ENCARG_1

Compound Symbols:   c10_18, c11_18, c12_18, c13_18, c14_18, c15_18, c16_18, c17_18, c18_18, c19_18, c20_18, c21_18, c22_18, c23_18, c24_18, c25_18, c26_18, c27_18, c28_18, c29_18, c30_18, c31_18, c33_18, c34_18, c35_18, c36_18, c37_18, c38_18, c39_18, c40_18, c41_18, c42_18, c43_18, c44_18, c45_18, c46_18, c47_18, c48_18, c49_18, c50_18, c51_18, c52_18, c53_18, c55_18, c56_18, c57_18, c58_18, c59_18, c60_18, c61_18, c62_18, c63_18, c64_18, c65_18, c66_18, c67_18, c68_18, c69_18, c70_18, c71_18, c72_18, c73_18, c75_18, c76_18, c77_18, c78_18, c79_18, c80_18, c81_18, c82_18, c83_18, c84_18, c85_18, c86_18, c87_18, c88_18, c89_18, c90_18, c91_18, c8_1, c_2, c1_2, c2_2, c3_2, c9_18