/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# AProVE Commit ID: 794c25de1cacf0d048858bcd21c9a779e1221865 marcel 20200619 unpublished dirty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), 78 ms]
(4) CpxRelTRS
(5) RenamingProof [BOTH BOUNDS(ID, ID), 0 ms]
(6) CpxRelTRS
    (7) TypeInferenceProof [BOTH BOUNDS(ID, ID), 0 ms]
    (8) typed CpxTrs
    (9) OrderProof [LOWER BOUND(ID), 0 ms]
    (10) typed CpxTrs
(11) RelTrsToDecreasingLoopProblemProof [LOWER BOUND(ID), 0 ms]
(12) TRS for Loop Detection
(13) RelTrsToTrsProof [UPPER BOUND(ID), 0 ms]
(14) CpxTRS
(15) NonCtorToCtorProof [UPPER BOUND(ID), 0 ms]
(16) CpxRelTRS
    (17) RcToIrcProof [BOTH BOUNDS(ID, ID), 1478 ms]
    (18) CpxRelTRS
    (19) RelTrsToWeightedTrsProof [BOTH BOUNDS(ID, ID), 0 ms]
    (20) CpxWeightedTrs
        (21) CpxWeightedTrsRenamingProof [BOTH BOUNDS(ID, ID), 13 ms]
        (22) CpxWeightedTrs
        (23) TypeInferenceProof [BOTH BOUNDS(ID, ID), 0 ms]
        (24) CpxTypedWeightedTrs
        (25) CompletionProof [UPPER BOUND(ID), 11 ms]
        (26) CpxTypedWeightedCompleteTrs
            (27) NarrowingProof [BOTH BOUNDS(ID, ID), 1643 ms]
            (28) CpxTypedWeightedCompleteTrs
            (29) CpxTypedWeightedTrsToRntsProof [UPPER BOUND(ID), 21 ms]
            (30) CpxRNTS
            (31) SimplificationProof [BOTH BOUNDS(ID, ID), 0 ms]
            (32) CpxRNTS
        (33) CompletionProof [UPPER BOUND(ID), 8 ms]
        (34) CpxTypedWeightedCompleteTrs
            (35) CpxTypedWeightedTrsToRntsProof [UPPER BOUND(ID), 18 ms]
            (36) CpxRNTS
    (37) CpxTrsToCdtProof [UPPER BOUND(ID), 1062 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), 7589 ms]
        (46) CdtProblem
        (47) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 2282 ms]
        (48) CdtProblem
        (49) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 2292 ms]
        (50) CdtProblem
        (51) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 2277 ms]
        (52) CdtProblem
        (53) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 2198 ms]
        (54) CdtProblem
        (55) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 6215 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(1(3(3(2(2(3(0(0(1(3(2(2(3(3(2(x1)))))))))))))))))) -> 3(0(2(3(0(3(0(3(0(0(1(2(3(3(1(2(2(2(x1))))))))))))))))))
   0(0(0(2(2(3(0(0(1(0(0(0(1(0(3(1(2(2(x1)))))))))))))))))) -> 0(0(0(3(2(0(1(3(0(2(1(0(0(1(2(0(0(2(x1))))))))))))))))))
   0(0(1(3(1(0(0(1(3(3(0(0(1(2(2(1(1(1(x1)))))))))))))))))) -> 3(3(0(2(0(0(0(0(1(0(2(1(3(1(1(1(1(1(x1))))))))))))))))))
   0(0(2(0(1(1(3(0(2(3(2(2(0(2(3(3(1(2(x1)))))))))))))))))) -> 0(0(3(2(1(0(0(3(1(3(0(3(2(2(1(2(2(2(x1))))))))))))))))))
   0(0(2(0(3(0(2(2(3(0(2(0(0(2(3(0(0(2(x1)))))))))))))))))) -> 0(0(3(2(2(0(2(0(0(0(2(2(0(3(0(0(3(2(x1))))))))))))))))))
   0(0(2(0(3(3(2(3(1(3(1(0(2(1(3(0(2(0(x1)))))))))))))))))) -> 0(0(1(1(3(0(3(3(1(2(0(2(3(0(2(2(0(3(x1))))))))))))))))))
   0(1(0(0(2(2(2(3(2(1(3(2(3(3(1(0(1(0(x1)))))))))))))))))) -> 0(1(2(3(0(3(3(0(2(0(1(0(2(1(3(2(1(2(x1))))))))))))))))))
   0(1(0(2(2(1(2(1(3(1(1(2(0(1(2(0(1(0(x1)))))))))))))))))) -> 2(0(0(3(1(2(2(1(2(0(1(0(1(2(1(1(1(0(x1))))))))))))))))))
   0(1(1(1(3(0(1(3(1(2(0(2(1(2(2(0(3(0(x1)))))))))))))))))) -> 3(0(3(2(2(1(1(1(2(0(1(1(2(1(3(0(0(0(x1))))))))))))))))))
   0(1(2(2(3(1(3(3(1(3(2(2(3(3(0(2(0(2(x1)))))))))))))))))) -> 0(1(2(3(0(3(3(3(3(2(2(1(2(0(2(3(1(2(x1))))))))))))))))))
   0(1(2(3(0(2(1(1(3(3(3(2(3(1(3(1(3(1(x1)))))))))))))))))) -> 2(1(3(2(3(1(1(3(3(0(3(3(0(3(2(1(1(1(x1))))))))))))))))))
   0(1(2(3(3(3(1(3(3(3(2(3(1(2(0(1(3(1(x1)))))))))))))))))) -> 2(3(0(3(3(3(1(1(3(0(3(1(3(2(3(1(2(1(x1))))))))))))))))))
   0(1(3(2(3(1(1(3(2(2(0(0(1(3(2(3(3(3(x1)))))))))))))))))) -> 2(3(0(3(3(3(1(0(0(1(2(1(3(2(3(2(1(3(x1))))))))))))))))))
   0(2(0(1(0(0(0(1(0(3(0(2(3(3(3(3(0(3(x1)))))))))))))))))) -> 0(3(0(0(0(3(3(2(0(1(1(0(2(3(0(0(3(3(x1))))))))))))))))))
   0(2(0(1(3(1(0(0(3(2(0(2(2(3(0(1(0(0(x1)))))))))))))))))) -> 1(0(0(3(2(1(2(2(2(0(0(3(1(0(0(0(3(0(x1))))))))))))))))))
   0(2(1(0(2(0(3(0(1(0(2(0(2(0(1(2(0(3(x1)))))))))))))))))) -> 0(2(1(2(0(2(1(2(0(3(0(0(3(2(1(0(0(0(x1))))))))))))))))))
   0(3(1(1(2(2(0(0(0(1(3(2(3(3(3(3(3(3(x1)))))))))))))))))) -> 3(0(3(2(3(3(0(0(3(2(1(1(0(3(1(2(3(3(x1))))))))))))))))))
   0(3(1(2(1(0(2(1(3(0(3(2(3(2(3(0(1(2(x1)))))))))))))))))) -> 3(0(2(3(0(3(1(2(1(2(3(0(3(1(0(2(1(2(x1))))))))))))))))))
   0(3(2(3(1(0(0(1(0(0(1(2(3(2(1(1(0(1(x1)))))))))))))))))) -> 3(0(0(3(1(1(0(0(2(1(2(2(0(1(1(0(3(1(x1))))))))))))))))))
   0(3(3(2(3(1(3(2(0(0(2(1(3(1(3(2(3(3(x1)))))))))))))))))) -> 3(2(2(3(2(0(1(2(1(3(1(3(0(3(0(3(3(3(x1))))))))))))))))))
   1(0(0(0(3(0(2(1(3(3(1(2(2(3(1(3(2(1(x1)))))))))))))))))) -> 1(2(1(3(3(0(3(0(3(1(0(2(2(3(1(0(2(1(x1))))))))))))))))))
   1(0(2(0(0(0(1(2(3(0(1(2(2(2(1(2(2(0(x1)))))))))))))))))) -> 1(2(2(0(0(1(1(0(0(2(2(2(2(1(2(0(0(3(x1))))))))))))))))))
   1(0(2(1(2(3(3(0(1(0(2(3(0(1(1(3(3(1(x1)))))))))))))))))) -> 1(2(1(1(1(3(0(3(0(3(1(0(3(2(2(0(3(1(x1))))))))))))))))))
   1(1(0(0(0(2(0(1(0(1(1(0(3(2(1(0(0(2(x1)))))))))))))))))) -> 1(1(2(1(1(0(0(2(3(0(0(0(0(1(1(0(0(2(x1))))))))))))))))))
   1(1(0(3(1(2(0(0(1(3(2(1(2(0(3(0(2(2(x1)))))))))))))))))) -> 1(1(2(2(3(2(1(0(0(3(2(3(0(0(0(1(1(2(x1))))))))))))))))))
   1(2(2(0(3(1(3(0(0(1(3(3(0(3(2(3(1(2(x1)))))))))))))))))) -> 1(0(2(3(3(3(3(0(2(0(3(1(0(3(1(2(1(2(x1))))))))))))))))))
   1(2(2(2(2(0(3(3(2(1(3(0(2(1(3(2(0(3(x1)))))))))))))))))) -> 1(2(2(1(2(1(2(0(2(3(2(2(0(0(3(3(3(3(x1))))))))))))))))))
   1(2(3(0(1(0(3(1(2(3(1(1(1(1(3(2(3(0(x1)))))))))))))))))) -> 1(1(2(1(1(3(0(3(3(2(1(2(0(3(1(1(3(0(x1))))))))))))))))))
   1(3(0(2(0(3(2(2(1(3(2(3(2(2(2(1(3(2(x1)))))))))))))))))) -> 1(3(2(1(2(2(3(3(3(2(1(3(2(0(0(2(2(2(x1))))))))))))))))))
   1(3(1(3(1(1(1(2(1(3(0(1(2(1(3(1(1(0(x1)))))))))))))))))) -> 1(0(1(1(1(3(3(2(3(0(1(2(1(1(1(1(1(3(x1))))))))))))))))))
   1(3(1(3(2(0(0(0(1(3(1(0(2(2(2(1(0(2(x1)))))))))))))))))) -> 1(0(1(1(2(2(0(3(3(0(1(0(1(2(2(3(0(2(x1))))))))))))))))))
   1(3(2(2(0(3(1(1(3(1(3(0(2(1(2(2(0(3(x1)))))))))))))))))) -> 1(1(2(1(0(1(2(3(3(0(3(0(3(2(2(1(2(3(x1))))))))))))))))))
   1(3(3(1(3(1(3(0(1(0(2(3(1(1(1(3(0(3(x1)))))))))))))))))) -> 1(1(1(2(1(3(0(0(3(3(3(0(1(1(3(3(1(3(x1))))))))))))))))))
   2(0(0(0(1(1(3(1(1(1(2(2(2(2(2(0(1(3(x1)))))))))))))))))) -> 2(0(1(2(0(0(3(2(2(1(1(1(1(2(2(1(3(0(x1))))))))))))))))))
   2(0(0(1(3(1(3(2(1(0(0(2(2(2(0(2(0(3(x1)))))))))))))))))) -> 0(2(2(2(0(2(1(0(0(3(0(0(1(2(2(1(3(3(x1))))))))))))))))))
   2(0(1(0(1(2(2(2(2(3(3(1(1(1(1(2(1(2(x1)))))))))))))))))) -> 0(2(2(1(1(1(2(1(0(3(3(2(2(1(1(2(1(2(x1))))))))))))))))))
   2(0(2(0(3(0(0(2(2(1(1(0(3(1(0(3(1(1(x1)))))))))))))))))) -> 2(0(0(3(3(2(2(1(0(1(0(1(0(3(2(1(0(1(x1))))))))))))))))))
   2(0(2(2(3(1(0(3(2(3(0(3(2(0(0(2(0(2(x1)))))))))))))))))) -> 2(0(0(2(3(0(3(3(0(3(2(0(1(2(2(2(0(2(x1))))))))))))))))))
   2(0(3(0(0(1(3(1(2(0(2(1(3(0(2(2(0(0(x1)))))))))))))))))) -> 0(0(3(0(3(2(1(2(1(2(2(1(2(0(0(0(3(0(x1))))))))))))))))))
   2(0(3(1(0(3(2(1(0(2(3(1(0(2(2(1(1(1(x1)))))))))))))))))) -> 2(1(2(2(2(0(1(1(0(0(3(3(1(3(0(2(1(1(x1))))))))))))))))))
   2(1(0(3(1(3(1(2(2(2(2(1(2(3(1(3(0(2(x1)))))))))))))))))) -> 2(3(3(2(1(2(0(3(1(2(2(1(0(3(2(2(1(1(x1))))))))))))))))))
   2(1(2(1(3(0(2(2(3(2(3(1(1(1(3(3(0(2(x1)))))))))))))))))) -> 2(1(2(1(3(2(1(2(3(2(3(3(0(0(3(1(2(1(x1))))))))))))))))))
   2(1(2(2(2(2(2(0(1(3(2(0(0(1(2(3(1(2(x1)))))))))))))))))) -> 2(1(2(2(1(0(0(3(3(0(1(2(2(2(2(2(1(2(x1))))))))))))))))))
   2(1(2(3(1(3(2(0(2(2(3(3(3(2(3(1(3(3(x1)))))))))))))))))) -> 2(3(3(2(2(1(3(2(3(2(1(0(3(3(1(2(3(3(x1))))))))))))))))))
   2(1(3(0(0(2(2(1(1(3(1(3(1(0(0(2(1(2(x1)))))))))))))))))) -> 0(1(2(1(0(1(2(1(0(0(1(1(2(3(3(3(2(2(x1))))))))))))))))))
   2(2(0(0(3(0(1(3(1(0(2(2(2(3(0(1(2(0(x1)))))))))))))))))) -> 0(2(0(3(2(3(2(1(0(2(0(2(1(0(1(0(2(3(x1))))))))))))))))))
   2(2(1(3(1(3(0(0(2(1(2(2(2(1(1(1(0(1(x1)))))))))))))))))) -> 0(2(2(3(3(1(1(2(0(2(1(1(2(1(0(1(2(1(x1))))))))))))))))))
   2(2(1(3(3(0(0(2(1(3(0(1(2(2(2(2(3(3(x1)))))))))))))))))) -> 2(0(2(2(0(2(1(0(3(2(2(1(1(3(2(3(3(3(x1))))))))))))))))))
   2(2(2(2(3(2(0(1(3(1(2(2(2(1(3(2(3(3(x1)))))))))))))))))) -> 2(3(1(2(2(1(2(2(1(0(2(2(2(2(3(3(3(3(x1))))))))))))))))))
   2(2(2(3(0(1(3(2(1(3(3(2(1(2(2(1(2(3(x1)))))))))))))))))) -> 2(2(2(1(1(2(3(2(3(2(2(0(3(1(2(1(3(3(x1))))))))))))))))))
   2(2(3(1(1(1(3(1(2(0(1(2(2(0(1(2(2(2(x1)))))))))))))))))) -> 2(2(1(2(1(3(1(1(2(3(2(2(0(1(2(0(1(2(x1))))))))))))))))))
   2(2(3(2(2(3(1(0(2(3(1(1(1(0(0(1(0(2(x1)))))))))))))))))) -> 0(2(1(1(2(2(0(3(3(0(1(1(2(2(1(0(3(2(x1))))))))))))))))))
   2(3(0(1(3(1(3(3(0(3(0(2(0(3(1(3(2(3(x1)))))))))))))))))) -> 0(2(0(3(3(3(2(1(3(0(3(3(3(3(1(1(2(0(x1))))))))))))))))))
   2(3(2(3(1(2(0(1(3(0(1(3(2(1(0(2(3(3(x1)))))))))))))))))) -> 0(3(1(0(2(2(1(2(2(1(3(3(3(1(0(2(3(3(x1))))))))))))))))))
   2(3(3(2(1(0(3(0(0(0(3(3(1(3(0(0(0(3(x1)))))))))))))))))) -> 2(1(0(3(0(3(0(3(3(3(0(0(0(0(2(1(3(3(x1))))))))))))))))))
   3(0(0(0(2(0(3(2(0(2(2(2(0(0(1(3(0(2(x1)))))))))))))))))) -> 0(0(2(1(2(3(0(3(2(0(2(0(0(3(0(2(0(2(x1))))))))))))))))))
   3(0(0(2(2(2(1(3(1(3(3(3(2(0(2(3(3(3(x1)))))))))))))))))) -> 2(1(2(1(2(3(3(0(2(3(0(3(3(3(2(0(3(3(x1))))))))))))))))))
   3(0(0(3(1(3(0(2(0(2(0(0(1(0(3(2(3(2(x1)))))))))))))))))) -> 0(0(3(2(3(3(0(0(0(3(2(0(1(2(3(1(0(2(x1))))))))))))))))))
   3(0(1(2(1(0(2(1(1(3(0(1(2(3(1(1(1(1(x1)))))))))))))))))) -> 3(3(1(1(1(0(1(2(1(1(1(2(2(3(0(1(0(1(x1))))))))))))))))))
   3(0(2(2(0(1(2(0(0(2(0(2(2(2(3(1(0(2(x1)))))))))))))))))) -> 0(2(1(2(2(3(0(0(3(2(2(1(2(0(2(0(0(2(x1))))))))))))))))))
   3(0(2(2(3(2(2(3(2(2(3(3(2(0(1(3(2(3(x1)))))))))))))))))) -> 0(3(3(2(1(3(3(2(2(3(2(2(2(0(3(2(2(3(x1))))))))))))))))))
   3(0(3(2(2(0(2(0(0(0(1(3(2(3(3(0(3(0(x1)))))))))))))))))) -> 3(0(2(0(1(2(2(0(3(0(2(0(3(0(3(3(3(0(x1))))))))))))))))))
   3(1(0(0(3(0(0(0(0(1(2(0(2(0(2(0(0(1(x1)))))))))))))))))) -> 3(0(0(0(0(0(2(0(0(0(0(3(0(2(1(1(2(1(x1))))))))))))))))))
   3(1(1(1(3(1(3(3(3(2(3(0(0(2(3(1(3(1(x1)))))))))))))))))) -> 3(3(1(2(2(3(0(1(0(3(3(3(1(1(1(3(3(1(x1))))))))))))))))))
   3(1(3(1(1(1(1(3(2(0(0(2(2(2(1(3(3(1(x1)))))))))))))))))) -> 3(1(0(3(1(1(0(2(2(2(3(1(2(1(1(3(3(1(x1))))))))))))))))))
   3(1(3(2(1(1(3(1(2(2(1(3(2(3(1(0(3(1(x1)))))))))))))))))) -> 3(1(3(3(1(2(0(1(1(2(2(1(3(3(2(3(1(1(x1))))))))))))))))))
   3(1(3(2(1(3(1(0(3(2(0(2(0(3(0(2(3(3(x1)))))))))))))))))) -> 2(2(0(1(2(1(0(3(3(3(0(3(2(1(3(3(3(0(x1))))))))))))))))))
   3(2(0(0(0(2(3(3(1(1(0(1(3(2(3(3(0(0(x1)))))))))))))))))) -> 3(0(2(1(2(3(3(0(3(1(0(1(2(3(3(0(0(0(x1))))))))))))))))))
   3(2(1(3(1(2(2(2(3(3(0(2(1(3(0(2(0(2(x1)))))))))))))))))) -> 3(3(3(2(3(2(2(0(2(2(1(0(3(2(1(2(1(0(x1))))))))))))))))))
   3(2(2(1(2(2(3(1(1(2(0(1(3(1(2(2(1(1(x1)))))))))))))))))) -> 3(1(1(1(2(2(1(3(2(3(2(2(1(1(2(0(2(1(x1))))))))))))))))))
   3(2(2(2(3(2(3(0(1(3(2(1(3(2(3(0(2(1(x1)))))))))))))))))) -> 0(0(3(3(2(1(2(1(3(3(3(3(2(2(2(2(2(1(x1))))))))))))))))))
   3(2(3(0(2(2(2(2(0(0(0(1(1(1(3(0(2(3(x1)))))))))))))))))) -> 3(0(2(3(2(0(3(1(2(0(2(1(0(3(2(1(2(0(x1))))))))))))))))))
   3(3(0(2(0(2(0(1(2(0(2(3(0(2(2(0(3(3(x1)))))))))))))))))) -> 3(2(0(3(2(0(0(0(3(0(3(2(2(2(1(2(0(3(x1))))))))))))))))))
   3(3(0(2(3(0(1(3(3(3(1(2(1(3(2(2(0(3(x1)))))))))))))))))) -> 2(3(1(1(0(1(2(0(3(3(3(2(3(2(3(3(0(3(x1))))))))))))))))))
   3(3(0(3(1(0(0(2(2(2(0(0(0(2(2(1(3(2(x1)))))))))))))))))) -> 0(3(2(0(3(3(1(2(1(2(2(0(3(0(0(0(2(2(x1))))))))))))))))))
   3(3(2(0(0(1(0(2(3(3(0(3(1(3(3(1(3(3(x1)))))))))))))))))) -> 0(0(3(3(1(1(0(2(2(3(1(3(3(0(3(3(3(3(x1))))))))))))))))))
   3(3(2(1(3(0(0(1(3(2(0(0(2(3(3(0(0(2(x1)))))))))))))))))) -> 3(0(0(3(0(3(0(1(2(0(3(1(3(0(3(2(2(2(x1))))))))))))))))))
   3(3(2(1(3(2(0(2(0(0(3(1(3(0(2(0(2(2(x1)))))))))))))))))) -> 2(0(1(3(2(2(2(1(2(3(3(0(3(0(0(0(3(2(x1))))))))))))))))))
   3(3(3(1(3(1(3(0(3(3(2(0(1(3(0(1(2(3(x1)))))))))))))))))) -> 3(3(3(1(1(3(1(3(3(3(2(3(0(3(1(2(0(0(x1))))))))))))))))))
   3(3(3(2(3(0(2(2(3(1(2(3(0(3(3(2(2(2(x1)))))))))))))))))) -> 3(0(3(2(2(2(0(3(3(3(2(2(3(2(1(3(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_1(x_1) -> 1(encArg(x_1))
   encode_3(x_1) -> 3(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(1(3(3(2(2(3(0(0(1(3(2(2(3(3(2(x1)))))))))))))))))) -> 3(0(2(3(0(3(0(3(0(0(1(2(3(3(1(2(2(2(x1))))))))))))))))))
   0(0(0(2(2(3(0(0(1(0(0(0(1(0(3(1(2(2(x1)))))))))))))))))) -> 0(0(0(3(2(0(1(3(0(2(1(0(0(1(2(0(0(2(x1))))))))))))))))))
   0(0(1(3(1(0(0(1(3(3(0(0(1(2(2(1(1(1(x1)))))))))))))))))) -> 3(3(0(2(0(0(0(0(1(0(2(1(3(1(1(1(1(1(x1))))))))))))))))))
   0(0(2(0(1(1(3(0(2(3(2(2(0(2(3(3(1(2(x1)))))))))))))))))) -> 0(0(3(2(1(0(0(3(1(3(0(3(2(2(1(2(2(2(x1))))))))))))))))))
   0(0(2(0(3(0(2(2(3(0(2(0(0(2(3(0(0(2(x1)))))))))))))))))) -> 0(0(3(2(2(0(2(0(0(0(2(2(0(3(0(0(3(2(x1))))))))))))))))))
   0(0(2(0(3(3(2(3(1(3(1(0(2(1(3(0(2(0(x1)))))))))))))))))) -> 0(0(1(1(3(0(3(3(1(2(0(2(3(0(2(2(0(3(x1))))))))))))))))))
   0(1(0(0(2(2(2(3(2(1(3(2(3(3(1(0(1(0(x1)))))))))))))))))) -> 0(1(2(3(0(3(3(0(2(0(1(0(2(1(3(2(1(2(x1))))))))))))))))))
   0(1(0(2(2(1(2(1(3(1(1(2(0(1(2(0(1(0(x1)))))))))))))))))) -> 2(0(0(3(1(2(2(1(2(0(1(0(1(2(1(1(1(0(x1))))))))))))))))))
   0(1(1(1(3(0(1(3(1(2(0(2(1(2(2(0(3(0(x1)))))))))))))))))) -> 3(0(3(2(2(1(1(1(2(0(1(1(2(1(3(0(0(0(x1))))))))))))))))))
   0(1(2(2(3(1(3(3(1(3(2(2(3(3(0(2(0(2(x1)))))))))))))))))) -> 0(1(2(3(0(3(3(3(3(2(2(1(2(0(2(3(1(2(x1))))))))))))))))))
   0(1(2(3(0(2(1(1(3(3(3(2(3(1(3(1(3(1(x1)))))))))))))))))) -> 2(1(3(2(3(1(1(3(3(0(3(3(0(3(2(1(1(1(x1))))))))))))))))))
   0(1(2(3(3(3(1(3(3(3(2(3(1(2(0(1(3(1(x1)))))))))))))))))) -> 2(3(0(3(3(3(1(1(3(0(3(1(3(2(3(1(2(1(x1))))))))))))))))))
   0(1(3(2(3(1(1(3(2(2(0(0(1(3(2(3(3(3(x1)))))))))))))))))) -> 2(3(0(3(3(3(1(0(0(1(2(1(3(2(3(2(1(3(x1))))))))))))))))))
   0(2(0(1(0(0(0(1(0(3(0(2(3(3(3(3(0(3(x1)))))))))))))))))) -> 0(3(0(0(0(3(3(2(0(1(1(0(2(3(0(0(3(3(x1))))))))))))))))))
   0(2(0(1(3(1(0(0(3(2(0(2(2(3(0(1(0(0(x1)))))))))))))))))) -> 1(0(0(3(2(1(2(2(2(0(0(3(1(0(0(0(3(0(x1))))))))))))))))))
   0(2(1(0(2(0(3(0(1(0(2(0(2(0(1(2(0(3(x1)))))))))))))))))) -> 0(2(1(2(0(2(1(2(0(3(0(0(3(2(1(0(0(0(x1))))))))))))))))))
   0(3(1(1(2(2(0(0(0(1(3(2(3(3(3(3(3(3(x1)))))))))))))))))) -> 3(0(3(2(3(3(0(0(3(2(1(1(0(3(1(2(3(3(x1))))))))))))))))))
   0(3(1(2(1(0(2(1(3(0(3(2(3(2(3(0(1(2(x1)))))))))))))))))) -> 3(0(2(3(0(3(1(2(1(2(3(0(3(1(0(2(1(2(x1))))))))))))))))))
   0(3(2(3(1(0(0(1(0(0(1(2(3(2(1(1(0(1(x1)))))))))))))))))) -> 3(0(0(3(1(1(0(0(2(1(2(2(0(1(1(0(3(1(x1))))))))))))))))))
   0(3(3(2(3(1(3(2(0(0(2(1(3(1(3(2(3(3(x1)))))))))))))))))) -> 3(2(2(3(2(0(1(2(1(3(1(3(0(3(0(3(3(3(x1))))))))))))))))))
   1(0(0(0(3(0(2(1(3(3(1(2(2(3(1(3(2(1(x1)))))))))))))))))) -> 1(2(1(3(3(0(3(0(3(1(0(2(2(3(1(0(2(1(x1))))))))))))))))))
   1(0(2(0(0(0(1(2(3(0(1(2(2(2(1(2(2(0(x1)))))))))))))))))) -> 1(2(2(0(0(1(1(0(0(2(2(2(2(1(2(0(0(3(x1))))))))))))))))))
   1(0(2(1(2(3(3(0(1(0(2(3(0(1(1(3(3(1(x1)))))))))))))))))) -> 1(2(1(1(1(3(0(3(0(3(1(0(3(2(2(0(3(1(x1))))))))))))))))))
   1(1(0(0(0(2(0(1(0(1(1(0(3(2(1(0(0(2(x1)))))))))))))))))) -> 1(1(2(1(1(0(0(2(3(0(0(0(0(1(1(0(0(2(x1))))))))))))))))))
   1(1(0(3(1(2(0(0(1(3(2(1(2(0(3(0(2(2(x1)))))))))))))))))) -> 1(1(2(2(3(2(1(0(0(3(2(3(0(0(0(1(1(2(x1))))))))))))))))))
   1(2(2(0(3(1(3(0(0(1(3(3(0(3(2(3(1(2(x1)))))))))))))))))) -> 1(0(2(3(3(3(3(0(2(0(3(1(0(3(1(2(1(2(x1))))))))))))))))))
   1(2(2(2(2(0(3(3(2(1(3(0(2(1(3(2(0(3(x1)))))))))))))))))) -> 1(2(2(1(2(1(2(0(2(3(2(2(0(0(3(3(3(3(x1))))))))))))))))))
   1(2(3(0(1(0(3(1(2(3(1(1(1(1(3(2(3(0(x1)))))))))))))))))) -> 1(1(2(1(1(3(0(3(3(2(1(2(0(3(1(1(3(0(x1))))))))))))))))))
   1(3(0(2(0(3(2(2(1(3(2(3(2(2(2(1(3(2(x1)))))))))))))))))) -> 1(3(2(1(2(2(3(3(3(2(1(3(2(0(0(2(2(2(x1))))))))))))))))))
   1(3(1(3(1(1(1(2(1(3(0(1(2(1(3(1(1(0(x1)))))))))))))))))) -> 1(0(1(1(1(3(3(2(3(0(1(2(1(1(1(1(1(3(x1))))))))))))))))))
   1(3(1(3(2(0(0(0(1(3(1(0(2(2(2(1(0(2(x1)))))))))))))))))) -> 1(0(1(1(2(2(0(3(3(0(1(0(1(2(2(3(0(2(x1))))))))))))))))))
   1(3(2(2(0(3(1(1(3(1(3(0(2(1(2(2(0(3(x1)))))))))))))))))) -> 1(1(2(1(0(1(2(3(3(0(3(0(3(2(2(1(2(3(x1))))))))))))))))))
   1(3(3(1(3(1(3(0(1(0(2(3(1(1(1(3(0(3(x1)))))))))))))))))) -> 1(1(1(2(1(3(0(0(3(3(3(0(1(1(3(3(1(3(x1))))))))))))))))))
   2(0(0(0(1(1(3(1(1(1(2(2(2(2(2(0(1(3(x1)))))))))))))))))) -> 2(0(1(2(0(0(3(2(2(1(1(1(1(2(2(1(3(0(x1))))))))))))))))))
   2(0(0(1(3(1(3(2(1(0(0(2(2(2(0(2(0(3(x1)))))))))))))))))) -> 0(2(2(2(0(2(1(0(0(3(0(0(1(2(2(1(3(3(x1))))))))))))))))))
   2(0(1(0(1(2(2(2(2(3(3(1(1(1(1(2(1(2(x1)))))))))))))))))) -> 0(2(2(1(1(1(2(1(0(3(3(2(2(1(1(2(1(2(x1))))))))))))))))))
   2(0(2(0(3(0(0(2(2(1(1(0(3(1(0(3(1(1(x1)))))))))))))))))) -> 2(0(0(3(3(2(2(1(0(1(0(1(0(3(2(1(0(1(x1))))))))))))))))))
   2(0(2(2(3(1(0(3(2(3(0(3(2(0(0(2(0(2(x1)))))))))))))))))) -> 2(0(0(2(3(0(3(3(0(3(2(0(1(2(2(2(0(2(x1))))))))))))))))))
   2(0(3(0(0(1(3(1(2(0(2(1(3(0(2(2(0(0(x1)))))))))))))))))) -> 0(0(3(0(3(2(1(2(1(2(2(1(2(0(0(0(3(0(x1))))))))))))))))))
   2(0(3(1(0(3(2(1(0(2(3(1(0(2(2(1(1(1(x1)))))))))))))))))) -> 2(1(2(2(2(0(1(1(0(0(3(3(1(3(0(2(1(1(x1))))))))))))))))))
   2(1(0(3(1(3(1(2(2(2(2(1(2(3(1(3(0(2(x1)))))))))))))))))) -> 2(3(3(2(1(2(0(3(1(2(2(1(0(3(2(2(1(1(x1))))))))))))))))))
   2(1(2(1(3(0(2(2(3(2(3(1(1(1(3(3(0(2(x1)))))))))))))))))) -> 2(1(2(1(3(2(1(2(3(2(3(3(0(0(3(1(2(1(x1))))))))))))))))))
   2(1(2(2(2(2(2(0(1(3(2(0(0(1(2(3(1(2(x1)))))))))))))))))) -> 2(1(2(2(1(0(0(3(3(0(1(2(2(2(2(2(1(2(x1))))))))))))))))))
   2(1(2(3(1(3(2(0(2(2(3(3(3(2(3(1(3(3(x1)))))))))))))))))) -> 2(3(3(2(2(1(3(2(3(2(1(0(3(3(1(2(3(3(x1))))))))))))))))))
   2(1(3(0(0(2(2(1(1(3(1(3(1(0(0(2(1(2(x1)))))))))))))))))) -> 0(1(2(1(0(1(2(1(0(0(1(1(2(3(3(3(2(2(x1))))))))))))))))))
   2(2(0(0(3(0(1(3(1(0(2(2(2(3(0(1(2(0(x1)))))))))))))))))) -> 0(2(0(3(2(3(2(1(0(2(0(2(1(0(1(0(2(3(x1))))))))))))))))))
   2(2(1(3(1(3(0(0(2(1(2(2(2(1(1(1(0(1(x1)))))))))))))))))) -> 0(2(2(3(3(1(1(2(0(2(1(1(2(1(0(1(2(1(x1))))))))))))))))))
   2(2(1(3(3(0(0(2(1(3(0(1(2(2(2(2(3(3(x1)))))))))))))))))) -> 2(0(2(2(0(2(1(0(3(2(2(1(1(3(2(3(3(3(x1))))))))))))))))))
   2(2(2(2(3(2(0(1(3(1(2(2(2(1(3(2(3(3(x1)))))))))))))))))) -> 2(3(1(2(2(1(2(2(1(0(2(2(2(2(3(3(3(3(x1))))))))))))))))))
   2(2(2(3(0(1(3(2(1(3(3(2(1(2(2(1(2(3(x1)))))))))))))))))) -> 2(2(2(1(1(2(3(2(3(2(2(0(3(1(2(1(3(3(x1))))))))))))))))))
   2(2(3(1(1(1(3(1(2(0(1(2(2(0(1(2(2(2(x1)))))))))))))))))) -> 2(2(1(2(1(3(1(1(2(3(2(2(0(1(2(0(1(2(x1))))))))))))))))))
   2(2(3(2(2(3(1(0(2(3(1(1(1(0(0(1(0(2(x1)))))))))))))))))) -> 0(2(1(1(2(2(0(3(3(0(1(1(2(2(1(0(3(2(x1))))))))))))))))))
   2(3(0(1(3(1(3(3(0(3(0(2(0(3(1(3(2(3(x1)))))))))))))))))) -> 0(2(0(3(3(3(2(1(3(0(3(3(3(3(1(1(2(0(x1))))))))))))))))))
   2(3(2(3(1(2(0(1(3(0(1(3(2(1(0(2(3(3(x1)))))))))))))))))) -> 0(3(1(0(2(2(1(2(2(1(3(3(3(1(0(2(3(3(x1))))))))))))))))))
   2(3(3(2(1(0(3(0(0(0(3(3(1(3(0(0(0(3(x1)))))))))))))))))) -> 2(1(0(3(0(3(0(3(3(3(0(0(0(0(2(1(3(3(x1))))))))))))))))))
   3(0(0(0(2(0(3(2(0(2(2(2(0(0(1(3(0(2(x1)))))))))))))))))) -> 0(0(2(1(2(3(0(3(2(0(2(0(0(3(0(2(0(2(x1))))))))))))))))))
   3(0(0(2(2(2(1(3(1(3(3(3(2(0(2(3(3(3(x1)))))))))))))))))) -> 2(1(2(1(2(3(3(0(2(3(0(3(3(3(2(0(3(3(x1))))))))))))))))))
   3(0(0(3(1(3(0(2(0(2(0(0(1(0(3(2(3(2(x1)))))))))))))))))) -> 0(0(3(2(3(3(0(0(0(3(2(0(1(2(3(1(0(2(x1))))))))))))))))))
   3(0(1(2(1(0(2(1(1(3(0(1(2(3(1(1(1(1(x1)))))))))))))))))) -> 3(3(1(1(1(0(1(2(1(1(1(2(2(3(0(1(0(1(x1))))))))))))))))))
   3(0(2(2(0(1(2(0(0(2(0(2(2(2(3(1(0(2(x1)))))))))))))))))) -> 0(2(1(2(2(3(0(0(3(2(2(1(2(0(2(0(0(2(x1))))))))))))))))))
   3(0(2(2(3(2(2(3(2(2(3(3(2(0(1(3(2(3(x1)))))))))))))))))) -> 0(3(3(2(1(3(3(2(2(3(2(2(2(0(3(2(2(3(x1))))))))))))))))))
   3(0(3(2(2(0(2(0(0(0(1(3(2(3(3(0(3(0(x1)))))))))))))))))) -> 3(0(2(0(1(2(2(0(3(0(2(0(3(0(3(3(3(0(x1))))))))))))))))))
   3(1(0(0(3(0(0(0(0(1(2(0(2(0(2(0(0(1(x1)))))))))))))))))) -> 3(0(0(0(0(0(2(0(0(0(0(3(0(2(1(1(2(1(x1))))))))))))))))))
   3(1(1(1(3(1(3(3(3(2(3(0(0(2(3(1(3(1(x1)))))))))))))))))) -> 3(3(1(2(2(3(0(1(0(3(3(3(1(1(1(3(3(1(x1))))))))))))))))))
   3(1(3(1(1(1(1(3(2(0(0(2(2(2(1(3(3(1(x1)))))))))))))))))) -> 3(1(0(3(1(1(0(2(2(2(3(1(2(1(1(3(3(1(x1))))))))))))))))))
   3(1(3(2(1(1(3(1(2(2(1(3(2(3(1(0(3(1(x1)))))))))))))))))) -> 3(1(3(3(1(2(0(1(1(2(2(1(3(3(2(3(1(1(x1))))))))))))))))))
   3(1(3(2(1(3(1(0(3(2(0(2(0(3(0(2(3(3(x1)))))))))))))))))) -> 2(2(0(1(2(1(0(3(3(3(0(3(2(1(3(3(3(0(x1))))))))))))))))))
   3(2(0(0(0(2(3(3(1(1(0(1(3(2(3(3(0(0(x1)))))))))))))))))) -> 3(0(2(1(2(3(3(0(3(1(0(1(2(3(3(0(0(0(x1))))))))))))))))))
   3(2(1(3(1(2(2(2(3(3(0(2(1(3(0(2(0(2(x1)))))))))))))))))) -> 3(3(3(2(3(2(2(0(2(2(1(0(3(2(1(2(1(0(x1))))))))))))))))))
   3(2(2(1(2(2(3(1(1(2(0(1(3(1(2(2(1(1(x1)))))))))))))))))) -> 3(1(1(1(2(2(1(3(2(3(2(2(1(1(2(0(2(1(x1))))))))))))))))))
   3(2(2(2(3(2(3(0(1(3(2(1(3(2(3(0(2(1(x1)))))))))))))))))) -> 0(0(3(3(2(1(2(1(3(3(3(3(2(2(2(2(2(1(x1))))))))))))))))))
   3(2(3(0(2(2(2(2(0(0(0(1(1(1(3(0(2(3(x1)))))))))))))))))) -> 3(0(2(3(2(0(3(1(2(0(2(1(0(3(2(1(2(0(x1))))))))))))))))))
   3(3(0(2(0(2(0(1(2(0(2(3(0(2(2(0(3(3(x1)))))))))))))))))) -> 3(2(0(3(2(0(0(0(3(0(3(2(2(2(1(2(0(3(x1))))))))))))))))))
   3(3(0(2(3(0(1(3(3(3(1(2(1(3(2(2(0(3(x1)))))))))))))))))) -> 2(3(1(1(0(1(2(0(3(3(3(2(3(2(3(3(0(3(x1))))))))))))))))))
   3(3(0(3(1(0(0(2(2(2(0(0(0(2(2(1(3(2(x1)))))))))))))))))) -> 0(3(2(0(3(3(1(2(1(2(2(0(3(0(0(0(2(2(x1))))))))))))))))))
   3(3(2(0(0(1(0(2(3(3(0(3(1(3(3(1(3(3(x1)))))))))))))))))) -> 0(0(3(3(1(1(0(2(2(3(1(3(3(0(3(3(3(3(x1))))))))))))))))))
   3(3(2(1(3(0(0(1(3(2(0(0(2(3(3(0(0(2(x1)))))))))))))))))) -> 3(0(0(3(0(3(0(1(2(0(3(1(3(0(3(2(2(2(x1))))))))))))))))))
   3(3(2(1(3(2(0(2(0(0(3(1(3(0(2(0(2(2(x1)))))))))))))))))) -> 2(0(1(3(2(2(2(1(2(3(3(0(3(0(0(0(3(2(x1))))))))))))))))))
   3(3(3(1(3(1(3(0(3(3(2(0(1(3(0(1(2(3(x1)))))))))))))))))) -> 3(3(3(1(1(3(1(3(3(3(2(3(0(3(1(2(0(0(x1))))))))))))))))))
   3(3(3(2(3(0(2(2(3(1(2(3(0(3(3(2(2(2(x1)))))))))))))))))) -> 3(0(3(2(2(2(0(3(3(3(2(2(3(2(1(3(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_1(x_1) -> 1(encArg(x_1))
   encode_3(x_1) -> 3(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(1(3(3(2(2(3(0(0(1(3(2(2(3(3(2(x1)))))))))))))))))) -> 3(0(2(3(0(3(0(3(0(0(1(2(3(3(1(2(2(2(x1))))))))))))))))))
   0(0(0(2(2(3(0(0(1(0(0(0(1(0(3(1(2(2(x1)))))))))))))))))) -> 0(0(0(3(2(0(1(3(0(2(1(0(0(1(2(0(0(2(x1))))))))))))))))))
   0(0(1(3(1(0(0(1(3(3(0(0(1(2(2(1(1(1(x1)))))))))))))))))) -> 3(3(0(2(0(0(0(0(1(0(2(1(3(1(1(1(1(1(x1))))))))))))))))))
   0(0(2(0(1(1(3(0(2(3(2(2(0(2(3(3(1(2(x1)))))))))))))))))) -> 0(0(3(2(1(0(0(3(1(3(0(3(2(2(1(2(2(2(x1))))))))))))))))))
   0(0(2(0(3(0(2(2(3(0(2(0(0(2(3(0(0(2(x1)))))))))))))))))) -> 0(0(3(2(2(0(2(0(0(0(2(2(0(3(0(0(3(2(x1))))))))))))))))))
   0(0(2(0(3(3(2(3(1(3(1(0(2(1(3(0(2(0(x1)))))))))))))))))) -> 0(0(1(1(3(0(3(3(1(2(0(2(3(0(2(2(0(3(x1))))))))))))))))))
   0(1(0(0(2(2(2(3(2(1(3(2(3(3(1(0(1(0(x1)))))))))))))))))) -> 0(1(2(3(0(3(3(0(2(0(1(0(2(1(3(2(1(2(x1))))))))))))))))))
   0(1(0(2(2(1(2(1(3(1(1(2(0(1(2(0(1(0(x1)))))))))))))))))) -> 2(0(0(3(1(2(2(1(2(0(1(0(1(2(1(1(1(0(x1))))))))))))))))))
   0(1(1(1(3(0(1(3(1(2(0(2(1(2(2(0(3(0(x1)))))))))))))))))) -> 3(0(3(2(2(1(1(1(2(0(1(1(2(1(3(0(0(0(x1))))))))))))))))))
   0(1(2(2(3(1(3(3(1(3(2(2(3(3(0(2(0(2(x1)))))))))))))))))) -> 0(1(2(3(0(3(3(3(3(2(2(1(2(0(2(3(1(2(x1))))))))))))))))))
   0(1(2(3(0(2(1(1(3(3(3(2(3(1(3(1(3(1(x1)))))))))))))))))) -> 2(1(3(2(3(1(1(3(3(0(3(3(0(3(2(1(1(1(x1))))))))))))))))))
   0(1(2(3(3(3(1(3(3(3(2(3(1(2(0(1(3(1(x1)))))))))))))))))) -> 2(3(0(3(3(3(1(1(3(0(3(1(3(2(3(1(2(1(x1))))))))))))))))))
   0(1(3(2(3(1(1(3(2(2(0(0(1(3(2(3(3(3(x1)))))))))))))))))) -> 2(3(0(3(3(3(1(0(0(1(2(1(3(2(3(2(1(3(x1))))))))))))))))))
   0(2(0(1(0(0(0(1(0(3(0(2(3(3(3(3(0(3(x1)))))))))))))))))) -> 0(3(0(0(0(3(3(2(0(1(1(0(2(3(0(0(3(3(x1))))))))))))))))))
   0(2(0(1(3(1(0(0(3(2(0(2(2(3(0(1(0(0(x1)))))))))))))))))) -> 1(0(0(3(2(1(2(2(2(0(0(3(1(0(0(0(3(0(x1))))))))))))))))))
   0(2(1(0(2(0(3(0(1(0(2(0(2(0(1(2(0(3(x1)))))))))))))))))) -> 0(2(1(2(0(2(1(2(0(3(0(0(3(2(1(0(0(0(x1))))))))))))))))))
   0(3(1(1(2(2(0(0(0(1(3(2(3(3(3(3(3(3(x1)))))))))))))))))) -> 3(0(3(2(3(3(0(0(3(2(1(1(0(3(1(2(3(3(x1))))))))))))))))))
   0(3(1(2(1(0(2(1(3(0(3(2(3(2(3(0(1(2(x1)))))))))))))))))) -> 3(0(2(3(0(3(1(2(1(2(3(0(3(1(0(2(1(2(x1))))))))))))))))))
   0(3(2(3(1(0(0(1(0(0(1(2(3(2(1(1(0(1(x1)))))))))))))))))) -> 3(0(0(3(1(1(0(0(2(1(2(2(0(1(1(0(3(1(x1))))))))))))))))))
   0(3(3(2(3(1(3(2(0(0(2(1(3(1(3(2(3(3(x1)))))))))))))))))) -> 3(2(2(3(2(0(1(2(1(3(1(3(0(3(0(3(3(3(x1))))))))))))))))))
   1(0(0(0(3(0(2(1(3(3(1(2(2(3(1(3(2(1(x1)))))))))))))))))) -> 1(2(1(3(3(0(3(0(3(1(0(2(2(3(1(0(2(1(x1))))))))))))))))))
   1(0(2(0(0(0(1(2(3(0(1(2(2(2(1(2(2(0(x1)))))))))))))))))) -> 1(2(2(0(0(1(1(0(0(2(2(2(2(1(2(0(0(3(x1))))))))))))))))))
   1(0(2(1(2(3(3(0(1(0(2(3(0(1(1(3(3(1(x1)))))))))))))))))) -> 1(2(1(1(1(3(0(3(0(3(1(0(3(2(2(0(3(1(x1))))))))))))))))))
   1(1(0(0(0(2(0(1(0(1(1(0(3(2(1(0(0(2(x1)))))))))))))))))) -> 1(1(2(1(1(0(0(2(3(0(0(0(0(1(1(0(0(2(x1))))))))))))))))))
   1(1(0(3(1(2(0(0(1(3(2(1(2(0(3(0(2(2(x1)))))))))))))))))) -> 1(1(2(2(3(2(1(0(0(3(2(3(0(0(0(1(1(2(x1))))))))))))))))))
   1(2(2(0(3(1(3(0(0(1(3(3(0(3(2(3(1(2(x1)))))))))))))))))) -> 1(0(2(3(3(3(3(0(2(0(3(1(0(3(1(2(1(2(x1))))))))))))))))))
   1(2(2(2(2(0(3(3(2(1(3(0(2(1(3(2(0(3(x1)))))))))))))))))) -> 1(2(2(1(2(1(2(0(2(3(2(2(0(0(3(3(3(3(x1))))))))))))))))))
   1(2(3(0(1(0(3(1(2(3(1(1(1(1(3(2(3(0(x1)))))))))))))))))) -> 1(1(2(1(1(3(0(3(3(2(1(2(0(3(1(1(3(0(x1))))))))))))))))))
   1(3(0(2(0(3(2(2(1(3(2(3(2(2(2(1(3(2(x1)))))))))))))))))) -> 1(3(2(1(2(2(3(3(3(2(1(3(2(0(0(2(2(2(x1))))))))))))))))))
   1(3(1(3(1(1(1(2(1(3(0(1(2(1(3(1(1(0(x1)))))))))))))))))) -> 1(0(1(1(1(3(3(2(3(0(1(2(1(1(1(1(1(3(x1))))))))))))))))))
   1(3(1(3(2(0(0(0(1(3(1(0(2(2(2(1(0(2(x1)))))))))))))))))) -> 1(0(1(1(2(2(0(3(3(0(1(0(1(2(2(3(0(2(x1))))))))))))))))))
   1(3(2(2(0(3(1(1(3(1(3(0(2(1(2(2(0(3(x1)))))))))))))))))) -> 1(1(2(1(0(1(2(3(3(0(3(0(3(2(2(1(2(3(x1))))))))))))))))))
   1(3(3(1(3(1(3(0(1(0(2(3(1(1(1(3(0(3(x1)))))))))))))))))) -> 1(1(1(2(1(3(0(0(3(3(3(0(1(1(3(3(1(3(x1))))))))))))))))))
   2(0(0(0(1(1(3(1(1(1(2(2(2(2(2(0(1(3(x1)))))))))))))))))) -> 2(0(1(2(0(0(3(2(2(1(1(1(1(2(2(1(3(0(x1))))))))))))))))))
   2(0(0(1(3(1(3(2(1(0(0(2(2(2(0(2(0(3(x1)))))))))))))))))) -> 0(2(2(2(0(2(1(0(0(3(0(0(1(2(2(1(3(3(x1))))))))))))))))))
   2(0(1(0(1(2(2(2(2(3(3(1(1(1(1(2(1(2(x1)))))))))))))))))) -> 0(2(2(1(1(1(2(1(0(3(3(2(2(1(1(2(1(2(x1))))))))))))))))))
   2(0(2(0(3(0(0(2(2(1(1(0(3(1(0(3(1(1(x1)))))))))))))))))) -> 2(0(0(3(3(2(2(1(0(1(0(1(0(3(2(1(0(1(x1))))))))))))))))))
   2(0(2(2(3(1(0(3(2(3(0(3(2(0(0(2(0(2(x1)))))))))))))))))) -> 2(0(0(2(3(0(3(3(0(3(2(0(1(2(2(2(0(2(x1))))))))))))))))))
   2(0(3(0(0(1(3(1(2(0(2(1(3(0(2(2(0(0(x1)))))))))))))))))) -> 0(0(3(0(3(2(1(2(1(2(2(1(2(0(0(0(3(0(x1))))))))))))))))))
   2(0(3(1(0(3(2(1(0(2(3(1(0(2(2(1(1(1(x1)))))))))))))))))) -> 2(1(2(2(2(0(1(1(0(0(3(3(1(3(0(2(1(1(x1))))))))))))))))))
   2(1(0(3(1(3(1(2(2(2(2(1(2(3(1(3(0(2(x1)))))))))))))))))) -> 2(3(3(2(1(2(0(3(1(2(2(1(0(3(2(2(1(1(x1))))))))))))))))))
   2(1(2(1(3(0(2(2(3(2(3(1(1(1(3(3(0(2(x1)))))))))))))))))) -> 2(1(2(1(3(2(1(2(3(2(3(3(0(0(3(1(2(1(x1))))))))))))))))))
   2(1(2(2(2(2(2(0(1(3(2(0(0(1(2(3(1(2(x1)))))))))))))))))) -> 2(1(2(2(1(0(0(3(3(0(1(2(2(2(2(2(1(2(x1))))))))))))))))))
   2(1(2(3(1(3(2(0(2(2(3(3(3(2(3(1(3(3(x1)))))))))))))))))) -> 2(3(3(2(2(1(3(2(3(2(1(0(3(3(1(2(3(3(x1))))))))))))))))))
   2(1(3(0(0(2(2(1(1(3(1(3(1(0(0(2(1(2(x1)))))))))))))))))) -> 0(1(2(1(0(1(2(1(0(0(1(1(2(3(3(3(2(2(x1))))))))))))))))))
   2(2(0(0(3(0(1(3(1(0(2(2(2(3(0(1(2(0(x1)))))))))))))))))) -> 0(2(0(3(2(3(2(1(0(2(0(2(1(0(1(0(2(3(x1))))))))))))))))))
   2(2(1(3(1(3(0(0(2(1(2(2(2(1(1(1(0(1(x1)))))))))))))))))) -> 0(2(2(3(3(1(1(2(0(2(1(1(2(1(0(1(2(1(x1))))))))))))))))))
   2(2(1(3(3(0(0(2(1(3(0(1(2(2(2(2(3(3(x1)))))))))))))))))) -> 2(0(2(2(0(2(1(0(3(2(2(1(1(3(2(3(3(3(x1))))))))))))))))))
   2(2(2(2(3(2(0(1(3(1(2(2(2(1(3(2(3(3(x1)))))))))))))))))) -> 2(3(1(2(2(1(2(2(1(0(2(2(2(2(3(3(3(3(x1))))))))))))))))))
   2(2(2(3(0(1(3(2(1(3(3(2(1(2(2(1(2(3(x1)))))))))))))))))) -> 2(2(2(1(1(2(3(2(3(2(2(0(3(1(2(1(3(3(x1))))))))))))))))))
   2(2(3(1(1(1(3(1(2(0(1(2(2(0(1(2(2(2(x1)))))))))))))))))) -> 2(2(1(2(1(3(1(1(2(3(2(2(0(1(2(0(1(2(x1))))))))))))))))))
   2(2(3(2(2(3(1(0(2(3(1(1(1(0(0(1(0(2(x1)))))))))))))))))) -> 0(2(1(1(2(2(0(3(3(0(1(1(2(2(1(0(3(2(x1))))))))))))))))))
   2(3(0(1(3(1(3(3(0(3(0(2(0(3(1(3(2(3(x1)))))))))))))))))) -> 0(2(0(3(3(3(2(1(3(0(3(3(3(3(1(1(2(0(x1))))))))))))))))))
   2(3(2(3(1(2(0(1(3(0(1(3(2(1(0(2(3(3(x1)))))))))))))))))) -> 0(3(1(0(2(2(1(2(2(1(3(3(3(1(0(2(3(3(x1))))))))))))))))))
   2(3(3(2(1(0(3(0(0(0(3(3(1(3(0(0(0(3(x1)))))))))))))))))) -> 2(1(0(3(0(3(0(3(3(3(0(0(0(0(2(1(3(3(x1))))))))))))))))))
   3(0(0(0(2(0(3(2(0(2(2(2(0(0(1(3(0(2(x1)))))))))))))))))) -> 0(0(2(1(2(3(0(3(2(0(2(0(0(3(0(2(0(2(x1))))))))))))))))))
   3(0(0(2(2(2(1(3(1(3(3(3(2(0(2(3(3(3(x1)))))))))))))))))) -> 2(1(2(1(2(3(3(0(2(3(0(3(3(3(2(0(3(3(x1))))))))))))))))))
   3(0(0(3(1(3(0(2(0(2(0(0(1(0(3(2(3(2(x1)))))))))))))))))) -> 0(0(3(2(3(3(0(0(0(3(2(0(1(2(3(1(0(2(x1))))))))))))))))))
   3(0(1(2(1(0(2(1(1(3(0(1(2(3(1(1(1(1(x1)))))))))))))))))) -> 3(3(1(1(1(0(1(2(1(1(1(2(2(3(0(1(0(1(x1))))))))))))))))))
   3(0(2(2(0(1(2(0(0(2(0(2(2(2(3(1(0(2(x1)))))))))))))))))) -> 0(2(1(2(2(3(0(0(3(2(2(1(2(0(2(0(0(2(x1))))))))))))))))))
   3(0(2(2(3(2(2(3(2(2(3(3(2(0(1(3(2(3(x1)))))))))))))))))) -> 0(3(3(2(1(3(3(2(2(3(2(2(2(0(3(2(2(3(x1))))))))))))))))))
   3(0(3(2(2(0(2(0(0(0(1(3(2(3(3(0(3(0(x1)))))))))))))))))) -> 3(0(2(0(1(2(2(0(3(0(2(0(3(0(3(3(3(0(x1))))))))))))))))))
   3(1(0(0(3(0(0(0(0(1(2(0(2(0(2(0(0(1(x1)))))))))))))))))) -> 3(0(0(0(0(0(2(0(0(0(0(3(0(2(1(1(2(1(x1))))))))))))))))))
   3(1(1(1(3(1(3(3(3(2(3(0(0(2(3(1(3(1(x1)))))))))))))))))) -> 3(3(1(2(2(3(0(1(0(3(3(3(1(1(1(3(3(1(x1))))))))))))))))))
   3(1(3(1(1(1(1(3(2(0(0(2(2(2(1(3(3(1(x1)))))))))))))))))) -> 3(1(0(3(1(1(0(2(2(2(3(1(2(1(1(3(3(1(x1))))))))))))))))))
   3(1(3(2(1(1(3(1(2(2(1(3(2(3(1(0(3(1(x1)))))))))))))))))) -> 3(1(3(3(1(2(0(1(1(2(2(1(3(3(2(3(1(1(x1))))))))))))))))))
   3(1(3(2(1(3(1(0(3(2(0(2(0(3(0(2(3(3(x1)))))))))))))))))) -> 2(2(0(1(2(1(0(3(3(3(0(3(2(1(3(3(3(0(x1))))))))))))))))))
   3(2(0(0(0(2(3(3(1(1(0(1(3(2(3(3(0(0(x1)))))))))))))))))) -> 3(0(2(1(2(3(3(0(3(1(0(1(2(3(3(0(0(0(x1))))))))))))))))))
   3(2(1(3(1(2(2(2(3(3(0(2(1(3(0(2(0(2(x1)))))))))))))))))) -> 3(3(3(2(3(2(2(0(2(2(1(0(3(2(1(2(1(0(x1))))))))))))))))))
   3(2(2(1(2(2(3(1(1(2(0(1(3(1(2(2(1(1(x1)))))))))))))))))) -> 3(1(1(1(2(2(1(3(2(3(2(2(1(1(2(0(2(1(x1))))))))))))))))))
   3(2(2(2(3(2(3(0(1(3(2(1(3(2(3(0(2(1(x1)))))))))))))))))) -> 0(0(3(3(2(1(2(1(3(3(3(3(2(2(2(2(2(1(x1))))))))))))))))))
   3(2(3(0(2(2(2(2(0(0(0(1(1(1(3(0(2(3(x1)))))))))))))))))) -> 3(0(2(3(2(0(3(1(2(0(2(1(0(3(2(1(2(0(x1))))))))))))))))))
   3(3(0(2(0(2(0(1(2(0(2(3(0(2(2(0(3(3(x1)))))))))))))))))) -> 3(2(0(3(2(0(0(0(3(0(3(2(2(2(1(2(0(3(x1))))))))))))))))))
   3(3(0(2(3(0(1(3(3(3(1(2(1(3(2(2(0(3(x1)))))))))))))))))) -> 2(3(1(1(0(1(2(0(3(3(3(2(3(2(3(3(0(3(x1))))))))))))))))))
   3(3(0(3(1(0(0(2(2(2(0(0(0(2(2(1(3(2(x1)))))))))))))))))) -> 0(3(2(0(3(3(1(2(1(2(2(0(3(0(0(0(2(2(x1))))))))))))))))))
   3(3(2(0(0(1(0(2(3(3(0(3(1(3(3(1(3(3(x1)))))))))))))))))) -> 0(0(3(3(1(1(0(2(2(3(1(3(3(0(3(3(3(3(x1))))))))))))))))))
   3(3(2(1(3(0(0(1(3(2(0(0(2(3(3(0(0(2(x1)))))))))))))))))) -> 3(0(0(3(0(3(0(1(2(0(3(1(3(0(3(2(2(2(x1))))))))))))))))))
   3(3(2(1(3(2(0(2(0(0(3(1(3(0(2(0(2(2(x1)))))))))))))))))) -> 2(0(1(3(2(2(2(1(2(3(3(0(3(0(0(0(3(2(x1))))))))))))))))))
   3(3(3(1(3(1(3(0(3(3(2(0(1(3(0(1(2(3(x1)))))))))))))))))) -> 3(3(3(1(1(3(1(3(3(3(2(3(0(3(1(2(0(0(x1))))))))))))))))))
   3(3(3(2(3(0(2(2(3(1(2(3(0(3(3(2(2(2(x1)))))))))))))))))) -> 3(0(3(2(2(2(0(3(3(3(2(2(3(2(1(3(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_1(x_1) -> 1(encArg(x_1))
   encode_3(x_1) -> 3(encArg(x_1))
   encode_2(x_1) -> 2(encArg(x_1))

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

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

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


The TRS R consists of the following rules:

   0(0(0(1(3(3(2(2(3(0(0(1(3(2(2(3(3(2(x1)))))))))))))))))) -> 3(0(2(3(0(3(0(3(0(0(1(2(3(3(1(2(2(2(x1))))))))))))))))))
   0(0(0(2(2(3(0(0(1(0(0(0(1(0(3(1(2(2(x1)))))))))))))))))) -> 0(0(0(3(2(0(1(3(0(2(1(0(0(1(2(0(0(2(x1))))))))))))))))))
   0(0(1(3(1(0(0(1(3(3(0(0(1(2(2(1(1(1(x1)))))))))))))))))) -> 3(3(0(2(0(0(0(0(1(0(2(1(3(1(1(1(1(1(x1))))))))))))))))))
   0(0(2(0(1(1(3(0(2(3(2(2(0(2(3(3(1(2(x1)))))))))))))))))) -> 0(0(3(2(1(0(0(3(1(3(0(3(2(2(1(2(2(2(x1))))))))))))))))))
   0(0(2(0(3(0(2(2(3(0(2(0(0(2(3(0(0(2(x1)))))))))))))))))) -> 0(0(3(2(2(0(2(0(0(0(2(2(0(3(0(0(3(2(x1))))))))))))))))))
   0(0(2(0(3(3(2(3(1(3(1(0(2(1(3(0(2(0(x1)))))))))))))))))) -> 0(0(1(1(3(0(3(3(1(2(0(2(3(0(2(2(0(3(x1))))))))))))))))))
   0(1(0(0(2(2(2(3(2(1(3(2(3(3(1(0(1(0(x1)))))))))))))))))) -> 0(1(2(3(0(3(3(0(2(0(1(0(2(1(3(2(1(2(x1))))))))))))))))))
   0(1(0(2(2(1(2(1(3(1(1(2(0(1(2(0(1(0(x1)))))))))))))))))) -> 2(0(0(3(1(2(2(1(2(0(1(0(1(2(1(1(1(0(x1))))))))))))))))))
   0(1(1(1(3(0(1(3(1(2(0(2(1(2(2(0(3(0(x1)))))))))))))))))) -> 3(0(3(2(2(1(1(1(2(0(1(1(2(1(3(0(0(0(x1))))))))))))))))))
   0(1(2(2(3(1(3(3(1(3(2(2(3(3(0(2(0(2(x1)))))))))))))))))) -> 0(1(2(3(0(3(3(3(3(2(2(1(2(0(2(3(1(2(x1))))))))))))))))))
   0(1(2(3(0(2(1(1(3(3(3(2(3(1(3(1(3(1(x1)))))))))))))))))) -> 2(1(3(2(3(1(1(3(3(0(3(3(0(3(2(1(1(1(x1))))))))))))))))))
   0(1(2(3(3(3(1(3(3(3(2(3(1(2(0(1(3(1(x1)))))))))))))))))) -> 2(3(0(3(3(3(1(1(3(0(3(1(3(2(3(1(2(1(x1))))))))))))))))))
   0(1(3(2(3(1(1(3(2(2(0(0(1(3(2(3(3(3(x1)))))))))))))))))) -> 2(3(0(3(3(3(1(0(0(1(2(1(3(2(3(2(1(3(x1))))))))))))))))))
   0(2(0(1(0(0(0(1(0(3(0(2(3(3(3(3(0(3(x1)))))))))))))))))) -> 0(3(0(0(0(3(3(2(0(1(1(0(2(3(0(0(3(3(x1))))))))))))))))))
   0(2(0(1(3(1(0(0(3(2(0(2(2(3(0(1(0(0(x1)))))))))))))))))) -> 1(0(0(3(2(1(2(2(2(0(0(3(1(0(0(0(3(0(x1))))))))))))))))))
   0(2(1(0(2(0(3(0(1(0(2(0(2(0(1(2(0(3(x1)))))))))))))))))) -> 0(2(1(2(0(2(1(2(0(3(0(0(3(2(1(0(0(0(x1))))))))))))))))))
   0(3(1(1(2(2(0(0(0(1(3(2(3(3(3(3(3(3(x1)))))))))))))))))) -> 3(0(3(2(3(3(0(0(3(2(1(1(0(3(1(2(3(3(x1))))))))))))))))))
   0(3(1(2(1(0(2(1(3(0(3(2(3(2(3(0(1(2(x1)))))))))))))))))) -> 3(0(2(3(0(3(1(2(1(2(3(0(3(1(0(2(1(2(x1))))))))))))))))))
   0(3(2(3(1(0(0(1(0(0(1(2(3(2(1(1(0(1(x1)))))))))))))))))) -> 3(0(0(3(1(1(0(0(2(1(2(2(0(1(1(0(3(1(x1))))))))))))))))))
   0(3(3(2(3(1(3(2(0(0(2(1(3(1(3(2(3(3(x1)))))))))))))))))) -> 3(2(2(3(2(0(1(2(1(3(1(3(0(3(0(3(3(3(x1))))))))))))))))))
   1(0(0(0(3(0(2(1(3(3(1(2(2(3(1(3(2(1(x1)))))))))))))))))) -> 1(2(1(3(3(0(3(0(3(1(0(2(2(3(1(0(2(1(x1))))))))))))))))))
   1(0(2(0(0(0(1(2(3(0(1(2(2(2(1(2(2(0(x1)))))))))))))))))) -> 1(2(2(0(0(1(1(0(0(2(2(2(2(1(2(0(0(3(x1))))))))))))))))))
   1(0(2(1(2(3(3(0(1(0(2(3(0(1(1(3(3(1(x1)))))))))))))))))) -> 1(2(1(1(1(3(0(3(0(3(1(0(3(2(2(0(3(1(x1))))))))))))))))))
   1(1(0(0(0(2(0(1(0(1(1(0(3(2(1(0(0(2(x1)))))))))))))))))) -> 1(1(2(1(1(0(0(2(3(0(0(0(0(1(1(0(0(2(x1))))))))))))))))))
   1(1(0(3(1(2(0(0(1(3(2(1(2(0(3(0(2(2(x1)))))))))))))))))) -> 1(1(2(2(3(2(1(0(0(3(2(3(0(0(0(1(1(2(x1))))))))))))))))))
   1(2(2(0(3(1(3(0(0(1(3(3(0(3(2(3(1(2(x1)))))))))))))))))) -> 1(0(2(3(3(3(3(0(2(0(3(1(0(3(1(2(1(2(x1))))))))))))))))))
   1(2(2(2(2(0(3(3(2(1(3(0(2(1(3(2(0(3(x1)))))))))))))))))) -> 1(2(2(1(2(1(2(0(2(3(2(2(0(0(3(3(3(3(x1))))))))))))))))))
   1(2(3(0(1(0(3(1(2(3(1(1(1(1(3(2(3(0(x1)))))))))))))))))) -> 1(1(2(1(1(3(0(3(3(2(1(2(0(3(1(1(3(0(x1))))))))))))))))))
   1(3(0(2(0(3(2(2(1(3(2(3(2(2(2(1(3(2(x1)))))))))))))))))) -> 1(3(2(1(2(2(3(3(3(2(1(3(2(0(0(2(2(2(x1))))))))))))))))))
   1(3(1(3(1(1(1(2(1(3(0(1(2(1(3(1(1(0(x1)))))))))))))))))) -> 1(0(1(1(1(3(3(2(3(0(1(2(1(1(1(1(1(3(x1))))))))))))))))))
   1(3(1(3(2(0(0(0(1(3(1(0(2(2(2(1(0(2(x1)))))))))))))))))) -> 1(0(1(1(2(2(0(3(3(0(1(0(1(2(2(3(0(2(x1))))))))))))))))))
   1(3(2(2(0(3(1(1(3(1(3(0(2(1(2(2(0(3(x1)))))))))))))))))) -> 1(1(2(1(0(1(2(3(3(0(3(0(3(2(2(1(2(3(x1))))))))))))))))))
   1(3(3(1(3(1(3(0(1(0(2(3(1(1(1(3(0(3(x1)))))))))))))))))) -> 1(1(1(2(1(3(0(0(3(3(3(0(1(1(3(3(1(3(x1))))))))))))))))))
   2(0(0(0(1(1(3(1(1(1(2(2(2(2(2(0(1(3(x1)))))))))))))))))) -> 2(0(1(2(0(0(3(2(2(1(1(1(1(2(2(1(3(0(x1))))))))))))))))))
   2(0(0(1(3(1(3(2(1(0(0(2(2(2(0(2(0(3(x1)))))))))))))))))) -> 0(2(2(2(0(2(1(0(0(3(0(0(1(2(2(1(3(3(x1))))))))))))))))))
   2(0(1(0(1(2(2(2(2(3(3(1(1(1(1(2(1(2(x1)))))))))))))))))) -> 0(2(2(1(1(1(2(1(0(3(3(2(2(1(1(2(1(2(x1))))))))))))))))))
   2(0(2(0(3(0(0(2(2(1(1(0(3(1(0(3(1(1(x1)))))))))))))))))) -> 2(0(0(3(3(2(2(1(0(1(0(1(0(3(2(1(0(1(x1))))))))))))))))))
   2(0(2(2(3(1(0(3(2(3(0(3(2(0(0(2(0(2(x1)))))))))))))))))) -> 2(0(0(2(3(0(3(3(0(3(2(0(1(2(2(2(0(2(x1))))))))))))))))))
   2(0(3(0(0(1(3(1(2(0(2(1(3(0(2(2(0(0(x1)))))))))))))))))) -> 0(0(3(0(3(2(1(2(1(2(2(1(2(0(0(0(3(0(x1))))))))))))))))))
   2(0(3(1(0(3(2(1(0(2(3(1(0(2(2(1(1(1(x1)))))))))))))))))) -> 2(1(2(2(2(0(1(1(0(0(3(3(1(3(0(2(1(1(x1))))))))))))))))))
   2(1(0(3(1(3(1(2(2(2(2(1(2(3(1(3(0(2(x1)))))))))))))))))) -> 2(3(3(2(1(2(0(3(1(2(2(1(0(3(2(2(1(1(x1))))))))))))))))))
   2(1(2(1(3(0(2(2(3(2(3(1(1(1(3(3(0(2(x1)))))))))))))))))) -> 2(1(2(1(3(2(1(2(3(2(3(3(0(0(3(1(2(1(x1))))))))))))))))))
   2(1(2(2(2(2(2(0(1(3(2(0(0(1(2(3(1(2(x1)))))))))))))))))) -> 2(1(2(2(1(0(0(3(3(0(1(2(2(2(2(2(1(2(x1))))))))))))))))))
   2(1(2(3(1(3(2(0(2(2(3(3(3(2(3(1(3(3(x1)))))))))))))))))) -> 2(3(3(2(2(1(3(2(3(2(1(0(3(3(1(2(3(3(x1))))))))))))))))))
   2(1(3(0(0(2(2(1(1(3(1(3(1(0(0(2(1(2(x1)))))))))))))))))) -> 0(1(2(1(0(1(2(1(0(0(1(1(2(3(3(3(2(2(x1))))))))))))))))))
   2(2(0(0(3(0(1(3(1(0(2(2(2(3(0(1(2(0(x1)))))))))))))))))) -> 0(2(0(3(2(3(2(1(0(2(0(2(1(0(1(0(2(3(x1))))))))))))))))))
   2(2(1(3(1(3(0(0(2(1(2(2(2(1(1(1(0(1(x1)))))))))))))))))) -> 0(2(2(3(3(1(1(2(0(2(1(1(2(1(0(1(2(1(x1))))))))))))))))))
   2(2(1(3(3(0(0(2(1(3(0(1(2(2(2(2(3(3(x1)))))))))))))))))) -> 2(0(2(2(0(2(1(0(3(2(2(1(1(3(2(3(3(3(x1))))))))))))))))))
   2(2(2(2(3(2(0(1(3(1(2(2(2(1(3(2(3(3(x1)))))))))))))))))) -> 2(3(1(2(2(1(2(2(1(0(2(2(2(2(3(3(3(3(x1))))))))))))))))))
   2(2(2(3(0(1(3(2(1(3(3(2(1(2(2(1(2(3(x1)))))))))))))))))) -> 2(2(2(1(1(2(3(2(3(2(2(0(3(1(2(1(3(3(x1))))))))))))))))))
   2(2(3(1(1(1(3(1(2(0(1(2(2(0(1(2(2(2(x1)))))))))))))))))) -> 2(2(1(2(1(3(1(1(2(3(2(2(0(1(2(0(1(2(x1))))))))))))))))))
   2(2(3(2(2(3(1(0(2(3(1(1(1(0(0(1(0(2(x1)))))))))))))))))) -> 0(2(1(1(2(2(0(3(3(0(1(1(2(2(1(0(3(2(x1))))))))))))))))))
   2(3(0(1(3(1(3(3(0(3(0(2(0(3(1(3(2(3(x1)))))))))))))))))) -> 0(2(0(3(3(3(2(1(3(0(3(3(3(3(1(1(2(0(x1))))))))))))))))))
   2(3(2(3(1(2(0(1(3(0(1(3(2(1(0(2(3(3(x1)))))))))))))))))) -> 0(3(1(0(2(2(1(2(2(1(3(3(3(1(0(2(3(3(x1))))))))))))))))))
   2(3(3(2(1(0(3(0(0(0(3(3(1(3(0(0(0(3(x1)))))))))))))))))) -> 2(1(0(3(0(3(0(3(3(3(0(0(0(0(2(1(3(3(x1))))))))))))))))))
   3(0(0(0(2(0(3(2(0(2(2(2(0(0(1(3(0(2(x1)))))))))))))))))) -> 0(0(2(1(2(3(0(3(2(0(2(0(0(3(0(2(0(2(x1))))))))))))))))))
   3(0(0(2(2(2(1(3(1(3(3(3(2(0(2(3(3(3(x1)))))))))))))))))) -> 2(1(2(1(2(3(3(0(2(3(0(3(3(3(2(0(3(3(x1))))))))))))))))))
   3(0(0(3(1(3(0(2(0(2(0(0(1(0(3(2(3(2(x1)))))))))))))))))) -> 0(0(3(2(3(3(0(0(0(3(2(0(1(2(3(1(0(2(x1))))))))))))))))))
   3(0(1(2(1(0(2(1(1(3(0(1(2(3(1(1(1(1(x1)))))))))))))))))) -> 3(3(1(1(1(0(1(2(1(1(1(2(2(3(0(1(0(1(x1))))))))))))))))))
   3(0(2(2(0(1(2(0(0(2(0(2(2(2(3(1(0(2(x1)))))))))))))))))) -> 0(2(1(2(2(3(0(0(3(2(2(1(2(0(2(0(0(2(x1))))))))))))))))))
   3(0(2(2(3(2(2(3(2(2(3(3(2(0(1(3(2(3(x1)))))))))))))))))) -> 0(3(3(2(1(3(3(2(2(3(2(2(2(0(3(2(2(3(x1))))))))))))))))))
   3(0(3(2(2(0(2(0(0(0(1(3(2(3(3(0(3(0(x1)))))))))))))))))) -> 3(0(2(0(1(2(2(0(3(0(2(0(3(0(3(3(3(0(x1))))))))))))))))))
   3(1(0(0(3(0(0(0(0(1(2(0(2(0(2(0(0(1(x1)))))))))))))))))) -> 3(0(0(0(0(0(2(0(0(0(0(3(0(2(1(1(2(1(x1))))))))))))))))))
   3(1(1(1(3(1(3(3(3(2(3(0(0(2(3(1(3(1(x1)))))))))))))))))) -> 3(3(1(2(2(3(0(1(0(3(3(3(1(1(1(3(3(1(x1))))))))))))))))))
   3(1(3(1(1(1(1(3(2(0(0(2(2(2(1(3(3(1(x1)))))))))))))))))) -> 3(1(0(3(1(1(0(2(2(2(3(1(2(1(1(3(3(1(x1))))))))))))))))))
   3(1(3(2(1(1(3(1(2(2(1(3(2(3(1(0(3(1(x1)))))))))))))))))) -> 3(1(3(3(1(2(0(1(1(2(2(1(3(3(2(3(1(1(x1))))))))))))))))))
   3(1(3(2(1(3(1(0(3(2(0(2(0(3(0(2(3(3(x1)))))))))))))))))) -> 2(2(0(1(2(1(0(3(3(3(0(3(2(1(3(3(3(0(x1))))))))))))))))))
   3(2(0(0(0(2(3(3(1(1(0(1(3(2(3(3(0(0(x1)))))))))))))))))) -> 3(0(2(1(2(3(3(0(3(1(0(1(2(3(3(0(0(0(x1))))))))))))))))))
   3(2(1(3(1(2(2(2(3(3(0(2(1(3(0(2(0(2(x1)))))))))))))))))) -> 3(3(3(2(3(2(2(0(2(2(1(0(3(2(1(2(1(0(x1))))))))))))))))))
   3(2(2(1(2(2(3(1(1(2(0(1(3(1(2(2(1(1(x1)))))))))))))))))) -> 3(1(1(1(2(2(1(3(2(3(2(2(1(1(2(0(2(1(x1))))))))))))))))))
   3(2(2(2(3(2(3(0(1(3(2(1(3(2(3(0(2(1(x1)))))))))))))))))) -> 0(0(3(3(2(1(2(1(3(3(3(3(2(2(2(2(2(1(x1))))))))))))))))))
   3(2(3(0(2(2(2(2(0(0(0(1(1(1(3(0(2(3(x1)))))))))))))))))) -> 3(0(2(3(2(0(3(1(2(0(2(1(0(3(2(1(2(0(x1))))))))))))))))))
   3(3(0(2(0(2(0(1(2(0(2(3(0(2(2(0(3(3(x1)))))))))))))))))) -> 3(2(0(3(2(0(0(0(3(0(3(2(2(2(1(2(0(3(x1))))))))))))))))))
   3(3(0(2(3(0(1(3(3(3(1(2(1(3(2(2(0(3(x1)))))))))))))))))) -> 2(3(1(1(0(1(2(0(3(3(3(2(3(2(3(3(0(3(x1))))))))))))))))))
   3(3(0(3(1(0(0(2(2(2(0(0(0(2(2(1(3(2(x1)))))))))))))))))) -> 0(3(2(0(3(3(1(2(1(2(2(0(3(0(0(0(2(2(x1))))))))))))))))))
   3(3(2(0(0(1(0(2(3(3(0(3(1(3(3(1(3(3(x1)))))))))))))))))) -> 0(0(3(3(1(1(0(2(2(3(1(3(3(0(3(3(3(3(x1))))))))))))))))))
   3(3(2(1(3(0(0(1(3(2(0(0(2(3(3(0(0(2(x1)))))))))))))))))) -> 3(0(0(3(0(3(0(1(2(0(3(1(3(0(3(2(2(2(x1))))))))))))))))))
   3(3(2(1(3(2(0(2(0(0(3(1(3(0(2(0(2(2(x1)))))))))))))))))) -> 2(0(1(3(2(2(2(1(2(3(3(0(3(0(0(0(3(2(x1))))))))))))))))))
   3(3(3(1(3(1(3(0(3(3(2(0(1(3(0(1(2(3(x1)))))))))))))))))) -> 3(3(3(1(1(3(1(3(3(3(2(3(0(3(1(2(0(0(x1))))))))))))))))))
   3(3(3(2(3(0(2(2(3(1(2(3(0(3(3(2(2(2(x1)))))))))))))))))) -> 3(0(3(2(2(2(0(3(3(3(2(2(3(2(1(3(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_1(x_1) -> 1(encArg(x_1))
   encode_3(x_1) -> 3(encArg(x_1))
   encode_2(x_1) -> 2(encArg(x_1))

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

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

(8)
Obligation:
TRS:
Rules:
0(0(0(1(3(3(2(2(3(0(0(1(3(2(2(3(3(2(x1)))))))))))))))))) -> 3(0(2(3(0(3(0(3(0(0(1(2(3(3(1(2(2(2(x1))))))))))))))))))
0(0(0(2(2(3(0(0(1(0(0(0(1(0(3(1(2(2(x1)))))))))))))))))) -> 0(0(0(3(2(0(1(3(0(2(1(0(0(1(2(0(0(2(x1))))))))))))))))))
0(0(1(3(1(0(0(1(3(3(0(0(1(2(2(1(1(1(x1)))))))))))))))))) -> 3(3(0(2(0(0(0(0(1(0(2(1(3(1(1(1(1(1(x1))))))))))))))))))
0(0(2(0(1(1(3(0(2(3(2(2(0(2(3(3(1(2(x1)))))))))))))))))) -> 0(0(3(2(1(0(0(3(1(3(0(3(2(2(1(2(2(2(x1))))))))))))))))))
0(0(2(0(3(0(2(2(3(0(2(0(0(2(3(0(0(2(x1)))))))))))))))))) -> 0(0(3(2(2(0(2(0(0(0(2(2(0(3(0(0(3(2(x1))))))))))))))))))
0(0(2(0(3(3(2(3(1(3(1(0(2(1(3(0(2(0(x1)))))))))))))))))) -> 0(0(1(1(3(0(3(3(1(2(0(2(3(0(2(2(0(3(x1))))))))))))))))))
0(1(0(0(2(2(2(3(2(1(3(2(3(3(1(0(1(0(x1)))))))))))))))))) -> 0(1(2(3(0(3(3(0(2(0(1(0(2(1(3(2(1(2(x1))))))))))))))))))
0(1(0(2(2(1(2(1(3(1(1(2(0(1(2(0(1(0(x1)))))))))))))))))) -> 2(0(0(3(1(2(2(1(2(0(1(0(1(2(1(1(1(0(x1))))))))))))))))))
0(1(1(1(3(0(1(3(1(2(0(2(1(2(2(0(3(0(x1)))))))))))))))))) -> 3(0(3(2(2(1(1(1(2(0(1(1(2(1(3(0(0(0(x1))))))))))))))))))
0(1(2(2(3(1(3(3(1(3(2(2(3(3(0(2(0(2(x1)))))))))))))))))) -> 0(1(2(3(0(3(3(3(3(2(2(1(2(0(2(3(1(2(x1))))))))))))))))))
0(1(2(3(0(2(1(1(3(3(3(2(3(1(3(1(3(1(x1)))))))))))))))))) -> 2(1(3(2(3(1(1(3(3(0(3(3(0(3(2(1(1(1(x1))))))))))))))))))
0(1(2(3(3(3(1(3(3(3(2(3(1(2(0(1(3(1(x1)))))))))))))))))) -> 2(3(0(3(3(3(1(1(3(0(3(1(3(2(3(1(2(1(x1))))))))))))))))))
0(1(3(2(3(1(1(3(2(2(0(0(1(3(2(3(3(3(x1)))))))))))))))))) -> 2(3(0(3(3(3(1(0(0(1(2(1(3(2(3(2(1(3(x1))))))))))))))))))
0(2(0(1(0(0(0(1(0(3(0(2(3(3(3(3(0(3(x1)))))))))))))))))) -> 0(3(0(0(0(3(3(2(0(1(1(0(2(3(0(0(3(3(x1))))))))))))))))))
0(2(0(1(3(1(0(0(3(2(0(2(2(3(0(1(0(0(x1)))))))))))))))))) -> 1(0(0(3(2(1(2(2(2(0(0(3(1(0(0(0(3(0(x1))))))))))))))))))
0(2(1(0(2(0(3(0(1(0(2(0(2(0(1(2(0(3(x1)))))))))))))))))) -> 0(2(1(2(0(2(1(2(0(3(0(0(3(2(1(0(0(0(x1))))))))))))))))))
0(3(1(1(2(2(0(0(0(1(3(2(3(3(3(3(3(3(x1)))))))))))))))))) -> 3(0(3(2(3(3(0(0(3(2(1(1(0(3(1(2(3(3(x1))))))))))))))))))
0(3(1(2(1(0(2(1(3(0(3(2(3(2(3(0(1(2(x1)))))))))))))))))) -> 3(0(2(3(0(3(1(2(1(2(3(0(3(1(0(2(1(2(x1))))))))))))))))))
0(3(2(3(1(0(0(1(0(0(1(2(3(2(1(1(0(1(x1)))))))))))))))))) -> 3(0(0(3(1(1(0(0(2(1(2(2(0(1(1(0(3(1(x1))))))))))))))))))
0(3(3(2(3(1(3(2(0(0(2(1(3(1(3(2(3(3(x1)))))))))))))))))) -> 3(2(2(3(2(0(1(2(1(3(1(3(0(3(0(3(3(3(x1))))))))))))))))))
1(0(0(0(3(0(2(1(3(3(1(2(2(3(1(3(2(1(x1)))))))))))))))))) -> 1(2(1(3(3(0(3(0(3(1(0(2(2(3(1(0(2(1(x1))))))))))))))))))
1(0(2(0(0(0(1(2(3(0(1(2(2(2(1(2(2(0(x1)))))))))))))))))) -> 1(2(2(0(0(1(1(0(0(2(2(2(2(1(2(0(0(3(x1))))))))))))))))))
1(0(2(1(2(3(3(0(1(0(2(3(0(1(1(3(3(1(x1)))))))))))))))))) -> 1(2(1(1(1(3(0(3(0(3(1(0(3(2(2(0(3(1(x1))))))))))))))))))
1(1(0(0(0(2(0(1(0(1(1(0(3(2(1(0(0(2(x1)))))))))))))))))) -> 1(1(2(1(1(0(0(2(3(0(0(0(0(1(1(0(0(2(x1))))))))))))))))))
1(1(0(3(1(2(0(0(1(3(2(1(2(0(3(0(2(2(x1)))))))))))))))))) -> 1(1(2(2(3(2(1(0(0(3(2(3(0(0(0(1(1(2(x1))))))))))))))))))
1(2(2(0(3(1(3(0(0(1(3(3(0(3(2(3(1(2(x1)))))))))))))))))) -> 1(0(2(3(3(3(3(0(2(0(3(1(0(3(1(2(1(2(x1))))))))))))))))))
1(2(2(2(2(0(3(3(2(1(3(0(2(1(3(2(0(3(x1)))))))))))))))))) -> 1(2(2(1(2(1(2(0(2(3(2(2(0(0(3(3(3(3(x1))))))))))))))))))
1(2(3(0(1(0(3(1(2(3(1(1(1(1(3(2(3(0(x1)))))))))))))))))) -> 1(1(2(1(1(3(0(3(3(2(1(2(0(3(1(1(3(0(x1))))))))))))))))))
1(3(0(2(0(3(2(2(1(3(2(3(2(2(2(1(3(2(x1)))))))))))))))))) -> 1(3(2(1(2(2(3(3(3(2(1(3(2(0(0(2(2(2(x1))))))))))))))))))
1(3(1(3(1(1(1(2(1(3(0(1(2(1(3(1(1(0(x1)))))))))))))))))) -> 1(0(1(1(1(3(3(2(3(0(1(2(1(1(1(1(1(3(x1))))))))))))))))))
1(3(1(3(2(0(0(0(1(3(1(0(2(2(2(1(0(2(x1)))))))))))))))))) -> 1(0(1(1(2(2(0(3(3(0(1(0(1(2(2(3(0(2(x1))))))))))))))))))
1(3(2(2(0(3(1(1(3(1(3(0(2(1(2(2(0(3(x1)))))))))))))))))) -> 1(1(2(1(0(1(2(3(3(0(3(0(3(2(2(1(2(3(x1))))))))))))))))))
1(3(3(1(3(1(3(0(1(0(2(3(1(1(1(3(0(3(x1)))))))))))))))))) -> 1(1(1(2(1(3(0(0(3(3(3(0(1(1(3(3(1(3(x1))))))))))))))))))
2(0(0(0(1(1(3(1(1(1(2(2(2(2(2(0(1(3(x1)))))))))))))))))) -> 2(0(1(2(0(0(3(2(2(1(1(1(1(2(2(1(3(0(x1))))))))))))))))))
2(0(0(1(3(1(3(2(1(0(0(2(2(2(0(2(0(3(x1)))))))))))))))))) -> 0(2(2(2(0(2(1(0(0(3(0(0(1(2(2(1(3(3(x1))))))))))))))))))
2(0(1(0(1(2(2(2(2(3(3(1(1(1(1(2(1(2(x1)))))))))))))))))) -> 0(2(2(1(1(1(2(1(0(3(3(2(2(1(1(2(1(2(x1))))))))))))))))))
2(0(2(0(3(0(0(2(2(1(1(0(3(1(0(3(1(1(x1)))))))))))))))))) -> 2(0(0(3(3(2(2(1(0(1(0(1(0(3(2(1(0(1(x1))))))))))))))))))
2(0(2(2(3(1(0(3(2(3(0(3(2(0(0(2(0(2(x1)))))))))))))))))) -> 2(0(0(2(3(0(3(3(0(3(2(0(1(2(2(2(0(2(x1))))))))))))))))))
2(0(3(0(0(1(3(1(2(0(2(1(3(0(2(2(0(0(x1)))))))))))))))))) -> 0(0(3(0(3(2(1(2(1(2(2(1(2(0(0(0(3(0(x1))))))))))))))))))
2(0(3(1(0(3(2(1(0(2(3(1(0(2(2(1(1(1(x1)))))))))))))))))) -> 2(1(2(2(2(0(1(1(0(0(3(3(1(3(0(2(1(1(x1))))))))))))))))))
2(1(0(3(1(3(1(2(2(2(2(1(2(3(1(3(0(2(x1)))))))))))))))))) -> 2(3(3(2(1(2(0(3(1(2(2(1(0(3(2(2(1(1(x1))))))))))))))))))
2(1(2(1(3(0(2(2(3(2(3(1(1(1(3(3(0(2(x1)))))))))))))))))) -> 2(1(2(1(3(2(1(2(3(2(3(3(0(0(3(1(2(1(x1))))))))))))))))))
2(1(2(2(2(2(2(0(1(3(2(0(0(1(2(3(1(2(x1)))))))))))))))))) -> 2(1(2(2(1(0(0(3(3(0(1(2(2(2(2(2(1(2(x1))))))))))))))))))
2(1(2(3(1(3(2(0(2(2(3(3(3(2(3(1(3(3(x1)))))))))))))))))) -> 2(3(3(2(2(1(3(2(3(2(1(0(3(3(1(2(3(3(x1))))))))))))))))))
2(1(3(0(0(2(2(1(1(3(1(3(1(0(0(2(1(2(x1)))))))))))))))))) -> 0(1(2(1(0(1(2(1(0(0(1(1(2(3(3(3(2(2(x1))))))))))))))))))
2(2(0(0(3(0(1(3(1(0(2(2(2(3(0(1(2(0(x1)))))))))))))))))) -> 0(2(0(3(2(3(2(1(0(2(0(2(1(0(1(0(2(3(x1))))))))))))))))))
2(2(1(3(1(3(0(0(2(1(2(2(2(1(1(1(0(1(x1)))))))))))))))))) -> 0(2(2(3(3(1(1(2(0(2(1(1(2(1(0(1(2(1(x1))))))))))))))))))
2(2(1(3(3(0(0(2(1(3(0(1(2(2(2(2(3(3(x1)))))))))))))))))) -> 2(0(2(2(0(2(1(0(3(2(2(1(1(3(2(3(3(3(x1))))))))))))))))))
2(2(2(2(3(2(0(1(3(1(2(2(2(1(3(2(3(3(x1)))))))))))))))))) -> 2(3(1(2(2(1(2(2(1(0(2(2(2(2(3(3(3(3(x1))))))))))))))))))
2(2(2(3(0(1(3(2(1(3(3(2(1(2(2(1(2(3(x1)))))))))))))))))) -> 2(2(2(1(1(2(3(2(3(2(2(0(3(1(2(1(3(3(x1))))))))))))))))))
2(2(3(1(1(1(3(1(2(0(1(2(2(0(1(2(2(2(x1)))))))))))))))))) -> 2(2(1(2(1(3(1(1(2(3(2(2(0(1(2(0(1(2(x1))))))))))))))))))
2(2(3(2(2(3(1(0(2(3(1(1(1(0(0(1(0(2(x1)))))))))))))))))) -> 0(2(1(1(2(2(0(3(3(0(1(1(2(2(1(0(3(2(x1))))))))))))))))))
2(3(0(1(3(1(3(3(0(3(0(2(0(3(1(3(2(3(x1)))))))))))))))))) -> 0(2(0(3(3(3(2(1(3(0(3(3(3(3(1(1(2(0(x1))))))))))))))))))
2(3(2(3(1(2(0(1(3(0(1(3(2(1(0(2(3(3(x1)))))))))))))))))) -> 0(3(1(0(2(2(1(2(2(1(3(3(3(1(0(2(3(3(x1))))))))))))))))))
2(3(3(2(1(0(3(0(0(0(3(3(1(3(0(0(0(3(x1)))))))))))))))))) -> 2(1(0(3(0(3(0(3(3(3(0(0(0(0(2(1(3(3(x1))))))))))))))))))
3(0(0(0(2(0(3(2(0(2(2(2(0(0(1(3(0(2(x1)))))))))))))))))) -> 0(0(2(1(2(3(0(3(2(0(2(0(0(3(0(2(0(2(x1))))))))))))))))))
3(0(0(2(2(2(1(3(1(3(3(3(2(0(2(3(3(3(x1)))))))))))))))))) -> 2(1(2(1(2(3(3(0(2(3(0(3(3(3(2(0(3(3(x1))))))))))))))))))
3(0(0(3(1(3(0(2(0(2(0(0(1(0(3(2(3(2(x1)))))))))))))))))) -> 0(0(3(2(3(3(0(0(0(3(2(0(1(2(3(1(0(2(x1))))))))))))))))))
3(0(1(2(1(0(2(1(1(3(0(1(2(3(1(1(1(1(x1)))))))))))))))))) -> 3(3(1(1(1(0(1(2(1(1(1(2(2(3(0(1(0(1(x1))))))))))))))))))
3(0(2(2(0(1(2(0(0(2(0(2(2(2(3(1(0(2(x1)))))))))))))))))) -> 0(2(1(2(2(3(0(0(3(2(2(1(2(0(2(0(0(2(x1))))))))))))))))))
3(0(2(2(3(2(2(3(2(2(3(3(2(0(1(3(2(3(x1)))))))))))))))))) -> 0(3(3(2(1(3(3(2(2(3(2(2(2(0(3(2(2(3(x1))))))))))))))))))
3(0(3(2(2(0(2(0(0(0(1(3(2(3(3(0(3(0(x1)))))))))))))))))) -> 3(0(2(0(1(2(2(0(3(0(2(0(3(0(3(3(3(0(x1))))))))))))))))))
3(1(0(0(3(0(0(0(0(1(2(0(2(0(2(0(0(1(x1)))))))))))))))))) -> 3(0(0(0(0(0(2(0(0(0(0(3(0(2(1(1(2(1(x1))))))))))))))))))
3(1(1(1(3(1(3(3(3(2(3(0(0(2(3(1(3(1(x1)))))))))))))))))) -> 3(3(1(2(2(3(0(1(0(3(3(3(1(1(1(3(3(1(x1))))))))))))))))))
3(1(3(1(1(1(1(3(2(0(0(2(2(2(1(3(3(1(x1)))))))))))))))))) -> 3(1(0(3(1(1(0(2(2(2(3(1(2(1(1(3(3(1(x1))))))))))))))))))
3(1(3(2(1(1(3(1(2(2(1(3(2(3(1(0(3(1(x1)))))))))))))))))) -> 3(1(3(3(1(2(0(1(1(2(2(1(3(3(2(3(1(1(x1))))))))))))))))))
3(1(3(2(1(3(1(0(3(2(0(2(0(3(0(2(3(3(x1)))))))))))))))))) -> 2(2(0(1(2(1(0(3(3(3(0(3(2(1(3(3(3(0(x1))))))))))))))))))
3(2(0(0(0(2(3(3(1(1(0(1(3(2(3(3(0(0(x1)))))))))))))))))) -> 3(0(2(1(2(3(3(0(3(1(0(1(2(3(3(0(0(0(x1))))))))))))))))))
3(2(1(3(1(2(2(2(3(3(0(2(1(3(0(2(0(2(x1)))))))))))))))))) -> 3(3(3(2(3(2(2(0(2(2(1(0(3(2(1(2(1(0(x1))))))))))))))))))
3(2(2(1(2(2(3(1(1(2(0(1(3(1(2(2(1(1(x1)))))))))))))))))) -> 3(1(1(1(2(2(1(3(2(3(2(2(1(1(2(0(2(1(x1))))))))))))))))))
3(2(2(2(3(2(3(0(1(3(2(1(3(2(3(0(2(1(x1)))))))))))))))))) -> 0(0(3(3(2(1(2(1(3(3(3(3(2(2(2(2(2(1(x1))))))))))))))))))
3(2(3(0(2(2(2(2(0(0(0(1(1(1(3(0(2(3(x1)))))))))))))))))) -> 3(0(2(3(2(0(3(1(2(0(2(1(0(3(2(1(2(0(x1))))))))))))))))))
3(3(0(2(0(2(0(1(2(0(2(3(0(2(2(0(3(3(x1)))))))))))))))))) -> 3(2(0(3(2(0(0(0(3(0(3(2(2(2(1(2(0(3(x1))))))))))))))))))
3(3(0(2(3(0(1(3(3(3(1(2(1(3(2(2(0(3(x1)))))))))))))))))) -> 2(3(1(1(0(1(2(0(3(3(3(2(3(2(3(3(0(3(x1))))))))))))))))))
3(3(0(3(1(0(0(2(2(2(0(0(0(2(2(1(3(2(x1)))))))))))))))))) -> 0(3(2(0(3(3(1(2(1(2(2(0(3(0(0(0(2(2(x1))))))))))))))))))
3(3(2(0(0(1(0(2(3(3(0(3(1(3(3(1(3(3(x1)))))))))))))))))) -> 0(0(3(3(1(1(0(2(2(3(1(3(3(0(3(3(3(3(x1))))))))))))))))))
3(3(2(1(3(0(0(1(3(2(0(0(2(3(3(0(0(2(x1)))))))))))))))))) -> 3(0(0(3(0(3(0(1(2(0(3(1(3(0(3(2(2(2(x1))))))))))))))))))
3(3(2(1(3(2(0(2(0(0(3(1(3(0(2(0(2(2(x1)))))))))))))))))) -> 2(0(1(3(2(2(2(1(2(3(3(0(3(0(0(0(3(2(x1))))))))))))))))))
3(3(3(1(3(1(3(0(3(3(2(0(1(3(0(1(2(3(x1)))))))))))))))))) -> 3(3(3(1(1(3(1(3(3(3(2(3(0(3(1(2(0(0(x1))))))))))))))))))
3(3(3(2(3(0(2(2(3(1(2(3(0(3(3(2(2(2(x1)))))))))))))))))) -> 3(0(3(2(2(2(0(3(3(3(2(2(3(2(1(3(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_1(x_1) -> 1(encArg(x_1))
encode_3(x_1) -> 3(encArg(x_1))
encode_2(x_1) -> 2(encArg(x_1))

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

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

(9) 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

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

(10)
Obligation:
TRS:
Rules:
0(0(0(1(3(3(2(2(3(0(0(1(3(2(2(3(3(2(x1)))))))))))))))))) -> 3(0(2(3(0(3(0(3(0(0(1(2(3(3(1(2(2(2(x1))))))))))))))))))
0(0(0(2(2(3(0(0(1(0(0(0(1(0(3(1(2(2(x1)))))))))))))))))) -> 0(0(0(3(2(0(1(3(0(2(1(0(0(1(2(0(0(2(x1))))))))))))))))))
0(0(1(3(1(0(0(1(3(3(0(0(1(2(2(1(1(1(x1)))))))))))))))))) -> 3(3(0(2(0(0(0(0(1(0(2(1(3(1(1(1(1(1(x1))))))))))))))))))
0(0(2(0(1(1(3(0(2(3(2(2(0(2(3(3(1(2(x1)))))))))))))))))) -> 0(0(3(2(1(0(0(3(1(3(0(3(2(2(1(2(2(2(x1))))))))))))))))))
0(0(2(0(3(0(2(2(3(0(2(0(0(2(3(0(0(2(x1)))))))))))))))))) -> 0(0(3(2(2(0(2(0(0(0(2(2(0(3(0(0(3(2(x1))))))))))))))))))
0(0(2(0(3(3(2(3(1(3(1(0(2(1(3(0(2(0(x1)))))))))))))))))) -> 0(0(1(1(3(0(3(3(1(2(0(2(3(0(2(2(0(3(x1))))))))))))))))))
0(1(0(0(2(2(2(3(2(1(3(2(3(3(1(0(1(0(x1)))))))))))))))))) -> 0(1(2(3(0(3(3(0(2(0(1(0(2(1(3(2(1(2(x1))))))))))))))))))
0(1(0(2(2(1(2(1(3(1(1(2(0(1(2(0(1(0(x1)))))))))))))))))) -> 2(0(0(3(1(2(2(1(2(0(1(0(1(2(1(1(1(0(x1))))))))))))))))))
0(1(1(1(3(0(1(3(1(2(0(2(1(2(2(0(3(0(x1)))))))))))))))))) -> 3(0(3(2(2(1(1(1(2(0(1(1(2(1(3(0(0(0(x1))))))))))))))))))
0(1(2(2(3(1(3(3(1(3(2(2(3(3(0(2(0(2(x1)))))))))))))))))) -> 0(1(2(3(0(3(3(3(3(2(2(1(2(0(2(3(1(2(x1))))))))))))))))))
0(1(2(3(0(2(1(1(3(3(3(2(3(1(3(1(3(1(x1)))))))))))))))))) -> 2(1(3(2(3(1(1(3(3(0(3(3(0(3(2(1(1(1(x1))))))))))))))))))
0(1(2(3(3(3(1(3(3(3(2(3(1(2(0(1(3(1(x1)))))))))))))))))) -> 2(3(0(3(3(3(1(1(3(0(3(1(3(2(3(1(2(1(x1))))))))))))))))))
0(1(3(2(3(1(1(3(2(2(0(0(1(3(2(3(3(3(x1)))))))))))))))))) -> 2(3(0(3(3(3(1(0(0(1(2(1(3(2(3(2(1(3(x1))))))))))))))))))
0(2(0(1(0(0(0(1(0(3(0(2(3(3(3(3(0(3(x1)))))))))))))))))) -> 0(3(0(0(0(3(3(2(0(1(1(0(2(3(0(0(3(3(x1))))))))))))))))))
0(2(0(1(3(1(0(0(3(2(0(2(2(3(0(1(0(0(x1)))))))))))))))))) -> 1(0(0(3(2(1(2(2(2(0(0(3(1(0(0(0(3(0(x1))))))))))))))))))
0(2(1(0(2(0(3(0(1(0(2(0(2(0(1(2(0(3(x1)))))))))))))))))) -> 0(2(1(2(0(2(1(2(0(3(0(0(3(2(1(0(0(0(x1))))))))))))))))))
0(3(1(1(2(2(0(0(0(1(3(2(3(3(3(3(3(3(x1)))))))))))))))))) -> 3(0(3(2(3(3(0(0(3(2(1(1(0(3(1(2(3(3(x1))))))))))))))))))
0(3(1(2(1(0(2(1(3(0(3(2(3(2(3(0(1(2(x1)))))))))))))))))) -> 3(0(2(3(0(3(1(2(1(2(3(0(3(1(0(2(1(2(x1))))))))))))))))))
0(3(2(3(1(0(0(1(0(0(1(2(3(2(1(1(0(1(x1)))))))))))))))))) -> 3(0(0(3(1(1(0(0(2(1(2(2(0(1(1(0(3(1(x1))))))))))))))))))
0(3(3(2(3(1(3(2(0(0(2(1(3(1(3(2(3(3(x1)))))))))))))))))) -> 3(2(2(3(2(0(1(2(1(3(1(3(0(3(0(3(3(3(x1))))))))))))))))))
1(0(0(0(3(0(2(1(3(3(1(2(2(3(1(3(2(1(x1)))))))))))))))))) -> 1(2(1(3(3(0(3(0(3(1(0(2(2(3(1(0(2(1(x1))))))))))))))))))
1(0(2(0(0(0(1(2(3(0(1(2(2(2(1(2(2(0(x1)))))))))))))))))) -> 1(2(2(0(0(1(1(0(0(2(2(2(2(1(2(0(0(3(x1))))))))))))))))))
1(0(2(1(2(3(3(0(1(0(2(3(0(1(1(3(3(1(x1)))))))))))))))))) -> 1(2(1(1(1(3(0(3(0(3(1(0(3(2(2(0(3(1(x1))))))))))))))))))
1(1(0(0(0(2(0(1(0(1(1(0(3(2(1(0(0(2(x1)))))))))))))))))) -> 1(1(2(1(1(0(0(2(3(0(0(0(0(1(1(0(0(2(x1))))))))))))))))))
1(1(0(3(1(2(0(0(1(3(2(1(2(0(3(0(2(2(x1)))))))))))))))))) -> 1(1(2(2(3(2(1(0(0(3(2(3(0(0(0(1(1(2(x1))))))))))))))))))
1(2(2(0(3(1(3(0(0(1(3(3(0(3(2(3(1(2(x1)))))))))))))))))) -> 1(0(2(3(3(3(3(0(2(0(3(1(0(3(1(2(1(2(x1))))))))))))))))))
1(2(2(2(2(0(3(3(2(1(3(0(2(1(3(2(0(3(x1)))))))))))))))))) -> 1(2(2(1(2(1(2(0(2(3(2(2(0(0(3(3(3(3(x1))))))))))))))))))
1(2(3(0(1(0(3(1(2(3(1(1(1(1(3(2(3(0(x1)))))))))))))))))) -> 1(1(2(1(1(3(0(3(3(2(1(2(0(3(1(1(3(0(x1))))))))))))))))))
1(3(0(2(0(3(2(2(1(3(2(3(2(2(2(1(3(2(x1)))))))))))))))))) -> 1(3(2(1(2(2(3(3(3(2(1(3(2(0(0(2(2(2(x1))))))))))))))))))
1(3(1(3(1(1(1(2(1(3(0(1(2(1(3(1(1(0(x1)))))))))))))))))) -> 1(0(1(1(1(3(3(2(3(0(1(2(1(1(1(1(1(3(x1))))))))))))))))))
1(3(1(3(2(0(0(0(1(3(1(0(2(2(2(1(0(2(x1)))))))))))))))))) -> 1(0(1(1(2(2(0(3(3(0(1(0(1(2(2(3(0(2(x1))))))))))))))))))
1(3(2(2(0(3(1(1(3(1(3(0(2(1(2(2(0(3(x1)))))))))))))))))) -> 1(1(2(1(0(1(2(3(3(0(3(0(3(2(2(1(2(3(x1))))))))))))))))))
1(3(3(1(3(1(3(0(1(0(2(3(1(1(1(3(0(3(x1)))))))))))))))))) -> 1(1(1(2(1(3(0(0(3(3(3(0(1(1(3(3(1(3(x1))))))))))))))))))
2(0(0(0(1(1(3(1(1(1(2(2(2(2(2(0(1(3(x1)))))))))))))))))) -> 2(0(1(2(0(0(3(2(2(1(1(1(1(2(2(1(3(0(x1))))))))))))))))))
2(0(0(1(3(1(3(2(1(0(0(2(2(2(0(2(0(3(x1)))))))))))))))))) -> 0(2(2(2(0(2(1(0(0(3(0(0(1(2(2(1(3(3(x1))))))))))))))))))
2(0(1(0(1(2(2(2(2(3(3(1(1(1(1(2(1(2(x1)))))))))))))))))) -> 0(2(2(1(1(1(2(1(0(3(3(2(2(1(1(2(1(2(x1))))))))))))))))))
2(0(2(0(3(0(0(2(2(1(1(0(3(1(0(3(1(1(x1)))))))))))))))))) -> 2(0(0(3(3(2(2(1(0(1(0(1(0(3(2(1(0(1(x1))))))))))))))))))
2(0(2(2(3(1(0(3(2(3(0(3(2(0(0(2(0(2(x1)))))))))))))))))) -> 2(0(0(2(3(0(3(3(0(3(2(0(1(2(2(2(0(2(x1))))))))))))))))))
2(0(3(0(0(1(3(1(2(0(2(1(3(0(2(2(0(0(x1)))))))))))))))))) -> 0(0(3(0(3(2(1(2(1(2(2(1(2(0(0(0(3(0(x1))))))))))))))))))
2(0(3(1(0(3(2(1(0(2(3(1(0(2(2(1(1(1(x1)))))))))))))))))) -> 2(1(2(2(2(0(1(1(0(0(3(3(1(3(0(2(1(1(x1))))))))))))))))))
2(1(0(3(1(3(1(2(2(2(2(1(2(3(1(3(0(2(x1)))))))))))))))))) -> 2(3(3(2(1(2(0(3(1(2(2(1(0(3(2(2(1(1(x1))))))))))))))))))
2(1(2(1(3(0(2(2(3(2(3(1(1(1(3(3(0(2(x1)))))))))))))))))) -> 2(1(2(1(3(2(1(2(3(2(3(3(0(0(3(1(2(1(x1))))))))))))))))))
2(1(2(2(2(2(2(0(1(3(2(0(0(1(2(3(1(2(x1)))))))))))))))))) -> 2(1(2(2(1(0(0(3(3(0(1(2(2(2(2(2(1(2(x1))))))))))))))))))
2(1(2(3(1(3(2(0(2(2(3(3(3(2(3(1(3(3(x1)))))))))))))))))) -> 2(3(3(2(2(1(3(2(3(2(1(0(3(3(1(2(3(3(x1))))))))))))))))))
2(1(3(0(0(2(2(1(1(3(1(3(1(0(0(2(1(2(x1)))))))))))))))))) -> 0(1(2(1(0(1(2(1(0(0(1(1(2(3(3(3(2(2(x1))))))))))))))))))
2(2(0(0(3(0(1(3(1(0(2(2(2(3(0(1(2(0(x1)))))))))))))))))) -> 0(2(0(3(2(3(2(1(0(2(0(2(1(0(1(0(2(3(x1))))))))))))))))))
2(2(1(3(1(3(0(0(2(1(2(2(2(1(1(1(0(1(x1)))))))))))))))))) -> 0(2(2(3(3(1(1(2(0(2(1(1(2(1(0(1(2(1(x1))))))))))))))))))
2(2(1(3(3(0(0(2(1(3(0(1(2(2(2(2(3(3(x1)))))))))))))))))) -> 2(0(2(2(0(2(1(0(3(2(2(1(1(3(2(3(3(3(x1))))))))))))))))))
2(2(2(2(3(2(0(1(3(1(2(2(2(1(3(2(3(3(x1)))))))))))))))))) -> 2(3(1(2(2(1(2(2(1(0(2(2(2(2(3(3(3(3(x1))))))))))))))))))
2(2(2(3(0(1(3(2(1(3(3(2(1(2(2(1(2(3(x1)))))))))))))))))) -> 2(2(2(1(1(2(3(2(3(2(2(0(3(1(2(1(3(3(x1))))))))))))))))))
2(2(3(1(1(1(3(1(2(0(1(2(2(0(1(2(2(2(x1)))))))))))))))))) -> 2(2(1(2(1(3(1(1(2(3(2(2(0(1(2(0(1(2(x1))))))))))))))))))
2(2(3(2(2(3(1(0(2(3(1(1(1(0(0(1(0(2(x1)))))))))))))))))) -> 0(2(1(1(2(2(0(3(3(0(1(1(2(2(1(0(3(2(x1))))))))))))))))))
2(3(0(1(3(1(3(3(0(3(0(2(0(3(1(3(2(3(x1)))))))))))))))))) -> 0(2(0(3(3(3(2(1(3(0(3(3(3(3(1(1(2(0(x1))))))))))))))))))
2(3(2(3(1(2(0(1(3(0(1(3(2(1(0(2(3(3(x1)))))))))))))))))) -> 0(3(1(0(2(2(1(2(2(1(3(3(3(1(0(2(3(3(x1))))))))))))))))))
2(3(3(2(1(0(3(0(0(0(3(3(1(3(0(0(0(3(x1)))))))))))))))))) -> 2(1(0(3(0(3(0(3(3(3(0(0(0(0(2(1(3(3(x1))))))))))))))))))
3(0(0(0(2(0(3(2(0(2(2(2(0(0(1(3(0(2(x1)))))))))))))))))) -> 0(0(2(1(2(3(0(3(2(0(2(0(0(3(0(2(0(2(x1))))))))))))))))))
3(0(0(2(2(2(1(3(1(3(3(3(2(0(2(3(3(3(x1)))))))))))))))))) -> 2(1(2(1(2(3(3(0(2(3(0(3(3(3(2(0(3(3(x1))))))))))))))))))
3(0(0(3(1(3(0(2(0(2(0(0(1(0(3(2(3(2(x1)))))))))))))))))) -> 0(0(3(2(3(3(0(0(0(3(2(0(1(2(3(1(0(2(x1))))))))))))))))))
3(0(1(2(1(0(2(1(1(3(0(1(2(3(1(1(1(1(x1)))))))))))))))))) -> 3(3(1(1(1(0(1(2(1(1(1(2(2(3(0(1(0(1(x1))))))))))))))))))
3(0(2(2(0(1(2(0(0(2(0(2(2(2(3(1(0(2(x1)))))))))))))))))) -> 0(2(1(2(2(3(0(0(3(2(2(1(2(0(2(0(0(2(x1))))))))))))))))))
3(0(2(2(3(2(2(3(2(2(3(3(2(0(1(3(2(3(x1)))))))))))))))))) -> 0(3(3(2(1(3(3(2(2(3(2(2(2(0(3(2(2(3(x1))))))))))))))))))
3(0(3(2(2(0(2(0(0(0(1(3(2(3(3(0(3(0(x1)))))))))))))))))) -> 3(0(2(0(1(2(2(0(3(0(2(0(3(0(3(3(3(0(x1))))))))))))))))))
3(1(0(0(3(0(0(0(0(1(2(0(2(0(2(0(0(1(x1)))))))))))))))))) -> 3(0(0(0(0(0(2(0(0(0(0(3(0(2(1(1(2(1(x1))))))))))))))))))
3(1(1(1(3(1(3(3(3(2(3(0(0(2(3(1(3(1(x1)))))))))))))))))) -> 3(3(1(2(2(3(0(1(0(3(3(3(1(1(1(3(3(1(x1))))))))))))))))))
3(1(3(1(1(1(1(3(2(0(0(2(2(2(1(3(3(1(x1)))))))))))))))))) -> 3(1(0(3(1(1(0(2(2(2(3(1(2(1(1(3(3(1(x1))))))))))))))))))
3(1(3(2(1(1(3(1(2(2(1(3(2(3(1(0(3(1(x1)))))))))))))))))) -> 3(1(3(3(1(2(0(1(1(2(2(1(3(3(2(3(1(1(x1))))))))))))))))))
3(1(3(2(1(3(1(0(3(2(0(2(0(3(0(2(3(3(x1)))))))))))))))))) -> 2(2(0(1(2(1(0(3(3(3(0(3(2(1(3(3(3(0(x1))))))))))))))))))
3(2(0(0(0(2(3(3(1(1(0(1(3(2(3(3(0(0(x1)))))))))))))))))) -> 3(0(2(1(2(3(3(0(3(1(0(1(2(3(3(0(0(0(x1))))))))))))))))))
3(2(1(3(1(2(2(2(3(3(0(2(1(3(0(2(0(2(x1)))))))))))))))))) -> 3(3(3(2(3(2(2(0(2(2(1(0(3(2(1(2(1(0(x1))))))))))))))))))
3(2(2(1(2(2(3(1(1(2(0(1(3(1(2(2(1(1(x1)))))))))))))))))) -> 3(1(1(1(2(2(1(3(2(3(2(2(1(1(2(0(2(1(x1))))))))))))))))))
3(2(2(2(3(2(3(0(1(3(2(1(3(2(3(0(2(1(x1)))))))))))))))))) -> 0(0(3(3(2(1(2(1(3(3(3(3(2(2(2(2(2(1(x1))))))))))))))))))
3(2(3(0(2(2(2(2(0(0(0(1(1(1(3(0(2(3(x1)))))))))))))))))) -> 3(0(2(3(2(0(3(1(2(0(2(1(0(3(2(1(2(0(x1))))))))))))))))))
3(3(0(2(0(2(0(1(2(0(2(3(0(2(2(0(3(3(x1)))))))))))))))))) -> 3(2(0(3(2(0(0(0(3(0(3(2(2(2(1(2(0(3(x1))))))))))))))))))
3(3(0(2(3(0(1(3(3(3(1(2(1(3(2(2(0(3(x1)))))))))))))))))) -> 2(3(1(1(0(1(2(0(3(3(3(2(3(2(3(3(0(3(x1))))))))))))))))))
3(3(0(3(1(0(0(2(2(2(0(0(0(2(2(1(3(2(x1)))))))))))))))))) -> 0(3(2(0(3(3(1(2(1(2(2(0(3(0(0(0(2(2(x1))))))))))))))))))
3(3(2(0(0(1(0(2(3(3(0(3(1(3(3(1(3(3(x1)))))))))))))))))) -> 0(0(3(3(1(1(0(2(2(3(1(3(3(0(3(3(3(3(x1))))))))))))))))))
3(3(2(1(3(0(0(1(3(2(0(0(2(3(3(0(0(2(x1)))))))))))))))))) -> 3(0(0(3(0(3(0(1(2(0(3(1(3(0(3(2(2(2(x1))))))))))))))))))
3(3(2(1(3(2(0(2(0(0(3(1(3(0(2(0(2(2(x1)))))))))))))))))) -> 2(0(1(3(2(2(2(1(2(3(3(0(3(0(0(0(3(2(x1))))))))))))))))))
3(3(3(1(3(1(3(0(3(3(2(0(1(3(0(1(2(3(x1)))))))))))))))))) -> 3(3(3(1(1(3(1(3(3(3(2(3(0(3(1(2(0(0(x1))))))))))))))))))
3(3(3(2(3(0(2(2(3(1(2(3(0(3(3(2(2(2(x1)))))))))))))))))) -> 3(0(3(2(2(2(0(3(3(3(2(2(3(2(1(3(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_1(x_1) -> 1(encArg(x_1))
encode_3(x_1) -> 3(encArg(x_1))
encode_2(x_1) -> 2(encArg(x_1))

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

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

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

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

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


The TRS R consists of the following rules:

   0(0(0(1(3(3(2(2(3(0(0(1(3(2(2(3(3(2(x1)))))))))))))))))) -> 3(0(2(3(0(3(0(3(0(0(1(2(3(3(1(2(2(2(x1))))))))))))))))))
   0(0(0(2(2(3(0(0(1(0(0(0(1(0(3(1(2(2(x1)))))))))))))))))) -> 0(0(0(3(2(0(1(3(0(2(1(0(0(1(2(0(0(2(x1))))))))))))))))))
   0(0(1(3(1(0(0(1(3(3(0(0(1(2(2(1(1(1(x1)))))))))))))))))) -> 3(3(0(2(0(0(0(0(1(0(2(1(3(1(1(1(1(1(x1))))))))))))))))))
   0(0(2(0(1(1(3(0(2(3(2(2(0(2(3(3(1(2(x1)))))))))))))))))) -> 0(0(3(2(1(0(0(3(1(3(0(3(2(2(1(2(2(2(x1))))))))))))))))))
   0(0(2(0(3(0(2(2(3(0(2(0(0(2(3(0(0(2(x1)))))))))))))))))) -> 0(0(3(2(2(0(2(0(0(0(2(2(0(3(0(0(3(2(x1))))))))))))))))))
   0(0(2(0(3(3(2(3(1(3(1(0(2(1(3(0(2(0(x1)))))))))))))))))) -> 0(0(1(1(3(0(3(3(1(2(0(2(3(0(2(2(0(3(x1))))))))))))))))))
   0(1(0(0(2(2(2(3(2(1(3(2(3(3(1(0(1(0(x1)))))))))))))))))) -> 0(1(2(3(0(3(3(0(2(0(1(0(2(1(3(2(1(2(x1))))))))))))))))))
   0(1(0(2(2(1(2(1(3(1(1(2(0(1(2(0(1(0(x1)))))))))))))))))) -> 2(0(0(3(1(2(2(1(2(0(1(0(1(2(1(1(1(0(x1))))))))))))))))))
   0(1(1(1(3(0(1(3(1(2(0(2(1(2(2(0(3(0(x1)))))))))))))))))) -> 3(0(3(2(2(1(1(1(2(0(1(1(2(1(3(0(0(0(x1))))))))))))))))))
   0(1(2(2(3(1(3(3(1(3(2(2(3(3(0(2(0(2(x1)))))))))))))))))) -> 0(1(2(3(0(3(3(3(3(2(2(1(2(0(2(3(1(2(x1))))))))))))))))))
   0(1(2(3(0(2(1(1(3(3(3(2(3(1(3(1(3(1(x1)))))))))))))))))) -> 2(1(3(2(3(1(1(3(3(0(3(3(0(3(2(1(1(1(x1))))))))))))))))))
   0(1(2(3(3(3(1(3(3(3(2(3(1(2(0(1(3(1(x1)))))))))))))))))) -> 2(3(0(3(3(3(1(1(3(0(3(1(3(2(3(1(2(1(x1))))))))))))))))))
   0(1(3(2(3(1(1(3(2(2(0(0(1(3(2(3(3(3(x1)))))))))))))))))) -> 2(3(0(3(3(3(1(0(0(1(2(1(3(2(3(2(1(3(x1))))))))))))))))))
   0(2(0(1(0(0(0(1(0(3(0(2(3(3(3(3(0(3(x1)))))))))))))))))) -> 0(3(0(0(0(3(3(2(0(1(1(0(2(3(0(0(3(3(x1))))))))))))))))))
   0(2(0(1(3(1(0(0(3(2(0(2(2(3(0(1(0(0(x1)))))))))))))))))) -> 1(0(0(3(2(1(2(2(2(0(0(3(1(0(0(0(3(0(x1))))))))))))))))))
   0(2(1(0(2(0(3(0(1(0(2(0(2(0(1(2(0(3(x1)))))))))))))))))) -> 0(2(1(2(0(2(1(2(0(3(0(0(3(2(1(0(0(0(x1))))))))))))))))))
   0(3(1(1(2(2(0(0(0(1(3(2(3(3(3(3(3(3(x1)))))))))))))))))) -> 3(0(3(2(3(3(0(0(3(2(1(1(0(3(1(2(3(3(x1))))))))))))))))))
   0(3(1(2(1(0(2(1(3(0(3(2(3(2(3(0(1(2(x1)))))))))))))))))) -> 3(0(2(3(0(3(1(2(1(2(3(0(3(1(0(2(1(2(x1))))))))))))))))))
   0(3(2(3(1(0(0(1(0(0(1(2(3(2(1(1(0(1(x1)))))))))))))))))) -> 3(0(0(3(1(1(0(0(2(1(2(2(0(1(1(0(3(1(x1))))))))))))))))))
   0(3(3(2(3(1(3(2(0(0(2(1(3(1(3(2(3(3(x1)))))))))))))))))) -> 3(2(2(3(2(0(1(2(1(3(1(3(0(3(0(3(3(3(x1))))))))))))))))))
   1(0(0(0(3(0(2(1(3(3(1(2(2(3(1(3(2(1(x1)))))))))))))))))) -> 1(2(1(3(3(0(3(0(3(1(0(2(2(3(1(0(2(1(x1))))))))))))))))))
   1(0(2(0(0(0(1(2(3(0(1(2(2(2(1(2(2(0(x1)))))))))))))))))) -> 1(2(2(0(0(1(1(0(0(2(2(2(2(1(2(0(0(3(x1))))))))))))))))))
   1(0(2(1(2(3(3(0(1(0(2(3(0(1(1(3(3(1(x1)))))))))))))))))) -> 1(2(1(1(1(3(0(3(0(3(1(0(3(2(2(0(3(1(x1))))))))))))))))))
   1(1(0(0(0(2(0(1(0(1(1(0(3(2(1(0(0(2(x1)))))))))))))))))) -> 1(1(2(1(1(0(0(2(3(0(0(0(0(1(1(0(0(2(x1))))))))))))))))))
   1(1(0(3(1(2(0(0(1(3(2(1(2(0(3(0(2(2(x1)))))))))))))))))) -> 1(1(2(2(3(2(1(0(0(3(2(3(0(0(0(1(1(2(x1))))))))))))))))))
   1(2(2(0(3(1(3(0(0(1(3(3(0(3(2(3(1(2(x1)))))))))))))))))) -> 1(0(2(3(3(3(3(0(2(0(3(1(0(3(1(2(1(2(x1))))))))))))))))))
   1(2(2(2(2(0(3(3(2(1(3(0(2(1(3(2(0(3(x1)))))))))))))))))) -> 1(2(2(1(2(1(2(0(2(3(2(2(0(0(3(3(3(3(x1))))))))))))))))))
   1(2(3(0(1(0(3(1(2(3(1(1(1(1(3(2(3(0(x1)))))))))))))))))) -> 1(1(2(1(1(3(0(3(3(2(1(2(0(3(1(1(3(0(x1))))))))))))))))))
   1(3(0(2(0(3(2(2(1(3(2(3(2(2(2(1(3(2(x1)))))))))))))))))) -> 1(3(2(1(2(2(3(3(3(2(1(3(2(0(0(2(2(2(x1))))))))))))))))))
   1(3(1(3(1(1(1(2(1(3(0(1(2(1(3(1(1(0(x1)))))))))))))))))) -> 1(0(1(1(1(3(3(2(3(0(1(2(1(1(1(1(1(3(x1))))))))))))))))))
   1(3(1(3(2(0(0(0(1(3(1(0(2(2(2(1(0(2(x1)))))))))))))))))) -> 1(0(1(1(2(2(0(3(3(0(1(0(1(2(2(3(0(2(x1))))))))))))))))))
   1(3(2(2(0(3(1(1(3(1(3(0(2(1(2(2(0(3(x1)))))))))))))))))) -> 1(1(2(1(0(1(2(3(3(0(3(0(3(2(2(1(2(3(x1))))))))))))))))))
   1(3(3(1(3(1(3(0(1(0(2(3(1(1(1(3(0(3(x1)))))))))))))))))) -> 1(1(1(2(1(3(0(0(3(3(3(0(1(1(3(3(1(3(x1))))))))))))))))))
   2(0(0(0(1(1(3(1(1(1(2(2(2(2(2(0(1(3(x1)))))))))))))))))) -> 2(0(1(2(0(0(3(2(2(1(1(1(1(2(2(1(3(0(x1))))))))))))))))))
   2(0(0(1(3(1(3(2(1(0(0(2(2(2(0(2(0(3(x1)))))))))))))))))) -> 0(2(2(2(0(2(1(0(0(3(0(0(1(2(2(1(3(3(x1))))))))))))))))))
   2(0(1(0(1(2(2(2(2(3(3(1(1(1(1(2(1(2(x1)))))))))))))))))) -> 0(2(2(1(1(1(2(1(0(3(3(2(2(1(1(2(1(2(x1))))))))))))))))))
   2(0(2(0(3(0(0(2(2(1(1(0(3(1(0(3(1(1(x1)))))))))))))))))) -> 2(0(0(3(3(2(2(1(0(1(0(1(0(3(2(1(0(1(x1))))))))))))))))))
   2(0(2(2(3(1(0(3(2(3(0(3(2(0(0(2(0(2(x1)))))))))))))))))) -> 2(0(0(2(3(0(3(3(0(3(2(0(1(2(2(2(0(2(x1))))))))))))))))))
   2(0(3(0(0(1(3(1(2(0(2(1(3(0(2(2(0(0(x1)))))))))))))))))) -> 0(0(3(0(3(2(1(2(1(2(2(1(2(0(0(0(3(0(x1))))))))))))))))))
   2(0(3(1(0(3(2(1(0(2(3(1(0(2(2(1(1(1(x1)))))))))))))))))) -> 2(1(2(2(2(0(1(1(0(0(3(3(1(3(0(2(1(1(x1))))))))))))))))))
   2(1(0(3(1(3(1(2(2(2(2(1(2(3(1(3(0(2(x1)))))))))))))))))) -> 2(3(3(2(1(2(0(3(1(2(2(1(0(3(2(2(1(1(x1))))))))))))))))))
   2(1(2(1(3(0(2(2(3(2(3(1(1(1(3(3(0(2(x1)))))))))))))))))) -> 2(1(2(1(3(2(1(2(3(2(3(3(0(0(3(1(2(1(x1))))))))))))))))))
   2(1(2(2(2(2(2(0(1(3(2(0(0(1(2(3(1(2(x1)))))))))))))))))) -> 2(1(2(2(1(0(0(3(3(0(1(2(2(2(2(2(1(2(x1))))))))))))))))))
   2(1(2(3(1(3(2(0(2(2(3(3(3(2(3(1(3(3(x1)))))))))))))))))) -> 2(3(3(2(2(1(3(2(3(2(1(0(3(3(1(2(3(3(x1))))))))))))))))))
   2(1(3(0(0(2(2(1(1(3(1(3(1(0(0(2(1(2(x1)))))))))))))))))) -> 0(1(2(1(0(1(2(1(0(0(1(1(2(3(3(3(2(2(x1))))))))))))))))))
   2(2(0(0(3(0(1(3(1(0(2(2(2(3(0(1(2(0(x1)))))))))))))))))) -> 0(2(0(3(2(3(2(1(0(2(0(2(1(0(1(0(2(3(x1))))))))))))))))))
   2(2(1(3(1(3(0(0(2(1(2(2(2(1(1(1(0(1(x1)))))))))))))))))) -> 0(2(2(3(3(1(1(2(0(2(1(1(2(1(0(1(2(1(x1))))))))))))))))))
   2(2(1(3(3(0(0(2(1(3(0(1(2(2(2(2(3(3(x1)))))))))))))))))) -> 2(0(2(2(0(2(1(0(3(2(2(1(1(3(2(3(3(3(x1))))))))))))))))))
   2(2(2(2(3(2(0(1(3(1(2(2(2(1(3(2(3(3(x1)))))))))))))))))) -> 2(3(1(2(2(1(2(2(1(0(2(2(2(2(3(3(3(3(x1))))))))))))))))))
   2(2(2(3(0(1(3(2(1(3(3(2(1(2(2(1(2(3(x1)))))))))))))))))) -> 2(2(2(1(1(2(3(2(3(2(2(0(3(1(2(1(3(3(x1))))))))))))))))))
   2(2(3(1(1(1(3(1(2(0(1(2(2(0(1(2(2(2(x1)))))))))))))))))) -> 2(2(1(2(1(3(1(1(2(3(2(2(0(1(2(0(1(2(x1))))))))))))))))))
   2(2(3(2(2(3(1(0(2(3(1(1(1(0(0(1(0(2(x1)))))))))))))))))) -> 0(2(1(1(2(2(0(3(3(0(1(1(2(2(1(0(3(2(x1))))))))))))))))))
   2(3(0(1(3(1(3(3(0(3(0(2(0(3(1(3(2(3(x1)))))))))))))))))) -> 0(2(0(3(3(3(2(1(3(0(3(3(3(3(1(1(2(0(x1))))))))))))))))))
   2(3(2(3(1(2(0(1(3(0(1(3(2(1(0(2(3(3(x1)))))))))))))))))) -> 0(3(1(0(2(2(1(2(2(1(3(3(3(1(0(2(3(3(x1))))))))))))))))))
   2(3(3(2(1(0(3(0(0(0(3(3(1(3(0(0(0(3(x1)))))))))))))))))) -> 2(1(0(3(0(3(0(3(3(3(0(0(0(0(2(1(3(3(x1))))))))))))))))))
   3(0(0(0(2(0(3(2(0(2(2(2(0(0(1(3(0(2(x1)))))))))))))))))) -> 0(0(2(1(2(3(0(3(2(0(2(0(0(3(0(2(0(2(x1))))))))))))))))))
   3(0(0(2(2(2(1(3(1(3(3(3(2(0(2(3(3(3(x1)))))))))))))))))) -> 2(1(2(1(2(3(3(0(2(3(0(3(3(3(2(0(3(3(x1))))))))))))))))))
   3(0(0(3(1(3(0(2(0(2(0(0(1(0(3(2(3(2(x1)))))))))))))))))) -> 0(0(3(2(3(3(0(0(0(3(2(0(1(2(3(1(0(2(x1))))))))))))))))))
   3(0(1(2(1(0(2(1(1(3(0(1(2(3(1(1(1(1(x1)))))))))))))))))) -> 3(3(1(1(1(0(1(2(1(1(1(2(2(3(0(1(0(1(x1))))))))))))))))))
   3(0(2(2(0(1(2(0(0(2(0(2(2(2(3(1(0(2(x1)))))))))))))))))) -> 0(2(1(2(2(3(0(0(3(2(2(1(2(0(2(0(0(2(x1))))))))))))))))))
   3(0(2(2(3(2(2(3(2(2(3(3(2(0(1(3(2(3(x1)))))))))))))))))) -> 0(3(3(2(1(3(3(2(2(3(2(2(2(0(3(2(2(3(x1))))))))))))))))))
   3(0(3(2(2(0(2(0(0(0(1(3(2(3(3(0(3(0(x1)))))))))))))))))) -> 3(0(2(0(1(2(2(0(3(0(2(0(3(0(3(3(3(0(x1))))))))))))))))))
   3(1(0(0(3(0(0(0(0(1(2(0(2(0(2(0(0(1(x1)))))))))))))))))) -> 3(0(0(0(0(0(2(0(0(0(0(3(0(2(1(1(2(1(x1))))))))))))))))))
   3(1(1(1(3(1(3(3(3(2(3(0(0(2(3(1(3(1(x1)))))))))))))))))) -> 3(3(1(2(2(3(0(1(0(3(3(3(1(1(1(3(3(1(x1))))))))))))))))))
   3(1(3(1(1(1(1(3(2(0(0(2(2(2(1(3(3(1(x1)))))))))))))))))) -> 3(1(0(3(1(1(0(2(2(2(3(1(2(1(1(3(3(1(x1))))))))))))))))))
   3(1(3(2(1(1(3(1(2(2(1(3(2(3(1(0(3(1(x1)))))))))))))))))) -> 3(1(3(3(1(2(0(1(1(2(2(1(3(3(2(3(1(1(x1))))))))))))))))))
   3(1(3(2(1(3(1(0(3(2(0(2(0(3(0(2(3(3(x1)))))))))))))))))) -> 2(2(0(1(2(1(0(3(3(3(0(3(2(1(3(3(3(0(x1))))))))))))))))))
   3(2(0(0(0(2(3(3(1(1(0(1(3(2(3(3(0(0(x1)))))))))))))))))) -> 3(0(2(1(2(3(3(0(3(1(0(1(2(3(3(0(0(0(x1))))))))))))))))))
   3(2(1(3(1(2(2(2(3(3(0(2(1(3(0(2(0(2(x1)))))))))))))))))) -> 3(3(3(2(3(2(2(0(2(2(1(0(3(2(1(2(1(0(x1))))))))))))))))))
   3(2(2(1(2(2(3(1(1(2(0(1(3(1(2(2(1(1(x1)))))))))))))))))) -> 3(1(1(1(2(2(1(3(2(3(2(2(1(1(2(0(2(1(x1))))))))))))))))))
   3(2(2(2(3(2(3(0(1(3(2(1(3(2(3(0(2(1(x1)))))))))))))))))) -> 0(0(3(3(2(1(2(1(3(3(3(3(2(2(2(2(2(1(x1))))))))))))))))))
   3(2(3(0(2(2(2(2(0(0(0(1(1(1(3(0(2(3(x1)))))))))))))))))) -> 3(0(2(3(2(0(3(1(2(0(2(1(0(3(2(1(2(0(x1))))))))))))))))))
   3(3(0(2(0(2(0(1(2(0(2(3(0(2(2(0(3(3(x1)))))))))))))))))) -> 3(2(0(3(2(0(0(0(3(0(3(2(2(2(1(2(0(3(x1))))))))))))))))))
   3(3(0(2(3(0(1(3(3(3(1(2(1(3(2(2(0(3(x1)))))))))))))))))) -> 2(3(1(1(0(1(2(0(3(3(3(2(3(2(3(3(0(3(x1))))))))))))))))))
   3(3(0(3(1(0(0(2(2(2(0(0(0(2(2(1(3(2(x1)))))))))))))))))) -> 0(3(2(0(3(3(1(2(1(2(2(0(3(0(0(0(2(2(x1))))))))))))))))))
   3(3(2(0(0(1(0(2(3(3(0(3(1(3(3(1(3(3(x1)))))))))))))))))) -> 0(0(3(3(1(1(0(2(2(3(1(3(3(0(3(3(3(3(x1))))))))))))))))))
   3(3(2(1(3(0(0(1(3(2(0(0(2(3(3(0(0(2(x1)))))))))))))))))) -> 3(0(0(3(0(3(0(1(2(0(3(1(3(0(3(2(2(2(x1))))))))))))))))))
   3(3(2(1(3(2(0(2(0(0(3(1(3(0(2(0(2(2(x1)))))))))))))))))) -> 2(0(1(3(2(2(2(1(2(3(3(0(3(0(0(0(3(2(x1))))))))))))))))))
   3(3(3(1(3(1(3(0(3(3(2(0(1(3(0(1(2(3(x1)))))))))))))))))) -> 3(3(3(1(1(3(1(3(3(3(2(3(0(3(1(2(0(0(x1))))))))))))))))))
   3(3(3(2(3(0(2(2(3(1(2(3(0(3(3(2(2(2(x1)))))))))))))))))) -> 3(0(3(2(2(2(0(3(3(3(2(2(3(2(1(3(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_1(x_1) -> 1(encArg(x_1))
   encode_3(x_1) -> 3(encArg(x_1))
   encode_2(x_1) -> 2(encArg(x_1))

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

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

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


The TRS R consists of the following rules:

   0(0(0(1(3(3(2(2(3(0(0(1(3(2(2(3(3(2(x1)))))))))))))))))) -> 3(0(2(3(0(3(0(3(0(0(1(2(3(3(1(2(2(2(x1))))))))))))))))))
   0(0(0(2(2(3(0(0(1(0(0(0(1(0(3(1(2(2(x1)))))))))))))))))) -> 0(0(0(3(2(0(1(3(0(2(1(0(0(1(2(0(0(2(x1))))))))))))))))))
   0(0(1(3(1(0(0(1(3(3(0(0(1(2(2(1(1(1(x1)))))))))))))))))) -> 3(3(0(2(0(0(0(0(1(0(2(1(3(1(1(1(1(1(x1))))))))))))))))))
   0(0(2(0(1(1(3(0(2(3(2(2(0(2(3(3(1(2(x1)))))))))))))))))) -> 0(0(3(2(1(0(0(3(1(3(0(3(2(2(1(2(2(2(x1))))))))))))))))))
   0(0(2(0(3(0(2(2(3(0(2(0(0(2(3(0(0(2(x1)))))))))))))))))) -> 0(0(3(2(2(0(2(0(0(0(2(2(0(3(0(0(3(2(x1))))))))))))))))))
   0(0(2(0(3(3(2(3(1(3(1(0(2(1(3(0(2(0(x1)))))))))))))))))) -> 0(0(1(1(3(0(3(3(1(2(0(2(3(0(2(2(0(3(x1))))))))))))))))))
   0(1(0(0(2(2(2(3(2(1(3(2(3(3(1(0(1(0(x1)))))))))))))))))) -> 0(1(2(3(0(3(3(0(2(0(1(0(2(1(3(2(1(2(x1))))))))))))))))))
   0(1(0(2(2(1(2(1(3(1(1(2(0(1(2(0(1(0(x1)))))))))))))))))) -> 2(0(0(3(1(2(2(1(2(0(1(0(1(2(1(1(1(0(x1))))))))))))))))))
   0(1(1(1(3(0(1(3(1(2(0(2(1(2(2(0(3(0(x1)))))))))))))))))) -> 3(0(3(2(2(1(1(1(2(0(1(1(2(1(3(0(0(0(x1))))))))))))))))))
   0(1(2(2(3(1(3(3(1(3(2(2(3(3(0(2(0(2(x1)))))))))))))))))) -> 0(1(2(3(0(3(3(3(3(2(2(1(2(0(2(3(1(2(x1))))))))))))))))))
   0(1(2(3(0(2(1(1(3(3(3(2(3(1(3(1(3(1(x1)))))))))))))))))) -> 2(1(3(2(3(1(1(3(3(0(3(3(0(3(2(1(1(1(x1))))))))))))))))))
   0(1(2(3(3(3(1(3(3(3(2(3(1(2(0(1(3(1(x1)))))))))))))))))) -> 2(3(0(3(3(3(1(1(3(0(3(1(3(2(3(1(2(1(x1))))))))))))))))))
   0(1(3(2(3(1(1(3(2(2(0(0(1(3(2(3(3(3(x1)))))))))))))))))) -> 2(3(0(3(3(3(1(0(0(1(2(1(3(2(3(2(1(3(x1))))))))))))))))))
   0(2(0(1(0(0(0(1(0(3(0(2(3(3(3(3(0(3(x1)))))))))))))))))) -> 0(3(0(0(0(3(3(2(0(1(1(0(2(3(0(0(3(3(x1))))))))))))))))))
   0(2(0(1(3(1(0(0(3(2(0(2(2(3(0(1(0(0(x1)))))))))))))))))) -> 1(0(0(3(2(1(2(2(2(0(0(3(1(0(0(0(3(0(x1))))))))))))))))))
   0(2(1(0(2(0(3(0(1(0(2(0(2(0(1(2(0(3(x1)))))))))))))))))) -> 0(2(1(2(0(2(1(2(0(3(0(0(3(2(1(0(0(0(x1))))))))))))))))))
   0(3(1(1(2(2(0(0(0(1(3(2(3(3(3(3(3(3(x1)))))))))))))))))) -> 3(0(3(2(3(3(0(0(3(2(1(1(0(3(1(2(3(3(x1))))))))))))))))))
   0(3(1(2(1(0(2(1(3(0(3(2(3(2(3(0(1(2(x1)))))))))))))))))) -> 3(0(2(3(0(3(1(2(1(2(3(0(3(1(0(2(1(2(x1))))))))))))))))))
   0(3(2(3(1(0(0(1(0(0(1(2(3(2(1(1(0(1(x1)))))))))))))))))) -> 3(0(0(3(1(1(0(0(2(1(2(2(0(1(1(0(3(1(x1))))))))))))))))))
   0(3(3(2(3(1(3(2(0(0(2(1(3(1(3(2(3(3(x1)))))))))))))))))) -> 3(2(2(3(2(0(1(2(1(3(1(3(0(3(0(3(3(3(x1))))))))))))))))))
   1(0(0(0(3(0(2(1(3(3(1(2(2(3(1(3(2(1(x1)))))))))))))))))) -> 1(2(1(3(3(0(3(0(3(1(0(2(2(3(1(0(2(1(x1))))))))))))))))))
   1(0(2(0(0(0(1(2(3(0(1(2(2(2(1(2(2(0(x1)))))))))))))))))) -> 1(2(2(0(0(1(1(0(0(2(2(2(2(1(2(0(0(3(x1))))))))))))))))))
   1(0(2(1(2(3(3(0(1(0(2(3(0(1(1(3(3(1(x1)))))))))))))))))) -> 1(2(1(1(1(3(0(3(0(3(1(0(3(2(2(0(3(1(x1))))))))))))))))))
   1(1(0(0(0(2(0(1(0(1(1(0(3(2(1(0(0(2(x1)))))))))))))))))) -> 1(1(2(1(1(0(0(2(3(0(0(0(0(1(1(0(0(2(x1))))))))))))))))))
   1(1(0(3(1(2(0(0(1(3(2(1(2(0(3(0(2(2(x1)))))))))))))))))) -> 1(1(2(2(3(2(1(0(0(3(2(3(0(0(0(1(1(2(x1))))))))))))))))))
   1(2(2(0(3(1(3(0(0(1(3(3(0(3(2(3(1(2(x1)))))))))))))))))) -> 1(0(2(3(3(3(3(0(2(0(3(1(0(3(1(2(1(2(x1))))))))))))))))))
   1(2(2(2(2(0(3(3(2(1(3(0(2(1(3(2(0(3(x1)))))))))))))))))) -> 1(2(2(1(2(1(2(0(2(3(2(2(0(0(3(3(3(3(x1))))))))))))))))))
   1(2(3(0(1(0(3(1(2(3(1(1(1(1(3(2(3(0(x1)))))))))))))))))) -> 1(1(2(1(1(3(0(3(3(2(1(2(0(3(1(1(3(0(x1))))))))))))))))))
   1(3(0(2(0(3(2(2(1(3(2(3(2(2(2(1(3(2(x1)))))))))))))))))) -> 1(3(2(1(2(2(3(3(3(2(1(3(2(0(0(2(2(2(x1))))))))))))))))))
   1(3(1(3(1(1(1(2(1(3(0(1(2(1(3(1(1(0(x1)))))))))))))))))) -> 1(0(1(1(1(3(3(2(3(0(1(2(1(1(1(1(1(3(x1))))))))))))))))))
   1(3(1(3(2(0(0(0(1(3(1(0(2(2(2(1(0(2(x1)))))))))))))))))) -> 1(0(1(1(2(2(0(3(3(0(1(0(1(2(2(3(0(2(x1))))))))))))))))))
   1(3(2(2(0(3(1(1(3(1(3(0(2(1(2(2(0(3(x1)))))))))))))))))) -> 1(1(2(1(0(1(2(3(3(0(3(0(3(2(2(1(2(3(x1))))))))))))))))))
   1(3(3(1(3(1(3(0(1(0(2(3(1(1(1(3(0(3(x1)))))))))))))))))) -> 1(1(1(2(1(3(0(0(3(3(3(0(1(1(3(3(1(3(x1))))))))))))))))))
   2(0(0(0(1(1(3(1(1(1(2(2(2(2(2(0(1(3(x1)))))))))))))))))) -> 2(0(1(2(0(0(3(2(2(1(1(1(1(2(2(1(3(0(x1))))))))))))))))))
   2(0(0(1(3(1(3(2(1(0(0(2(2(2(0(2(0(3(x1)))))))))))))))))) -> 0(2(2(2(0(2(1(0(0(3(0(0(1(2(2(1(3(3(x1))))))))))))))))))
   2(0(1(0(1(2(2(2(2(3(3(1(1(1(1(2(1(2(x1)))))))))))))))))) -> 0(2(2(1(1(1(2(1(0(3(3(2(2(1(1(2(1(2(x1))))))))))))))))))
   2(0(2(0(3(0(0(2(2(1(1(0(3(1(0(3(1(1(x1)))))))))))))))))) -> 2(0(0(3(3(2(2(1(0(1(0(1(0(3(2(1(0(1(x1))))))))))))))))))
   2(0(2(2(3(1(0(3(2(3(0(3(2(0(0(2(0(2(x1)))))))))))))))))) -> 2(0(0(2(3(0(3(3(0(3(2(0(1(2(2(2(0(2(x1))))))))))))))))))
   2(0(3(0(0(1(3(1(2(0(2(1(3(0(2(2(0(0(x1)))))))))))))))))) -> 0(0(3(0(3(2(1(2(1(2(2(1(2(0(0(0(3(0(x1))))))))))))))))))
   2(0(3(1(0(3(2(1(0(2(3(1(0(2(2(1(1(1(x1)))))))))))))))))) -> 2(1(2(2(2(0(1(1(0(0(3(3(1(3(0(2(1(1(x1))))))))))))))))))
   2(1(0(3(1(3(1(2(2(2(2(1(2(3(1(3(0(2(x1)))))))))))))))))) -> 2(3(3(2(1(2(0(3(1(2(2(1(0(3(2(2(1(1(x1))))))))))))))))))
   2(1(2(1(3(0(2(2(3(2(3(1(1(1(3(3(0(2(x1)))))))))))))))))) -> 2(1(2(1(3(2(1(2(3(2(3(3(0(0(3(1(2(1(x1))))))))))))))))))
   2(1(2(2(2(2(2(0(1(3(2(0(0(1(2(3(1(2(x1)))))))))))))))))) -> 2(1(2(2(1(0(0(3(3(0(1(2(2(2(2(2(1(2(x1))))))))))))))))))
   2(1(2(3(1(3(2(0(2(2(3(3(3(2(3(1(3(3(x1)))))))))))))))))) -> 2(3(3(2(2(1(3(2(3(2(1(0(3(3(1(2(3(3(x1))))))))))))))))))
   2(1(3(0(0(2(2(1(1(3(1(3(1(0(0(2(1(2(x1)))))))))))))))))) -> 0(1(2(1(0(1(2(1(0(0(1(1(2(3(3(3(2(2(x1))))))))))))))))))
   2(2(0(0(3(0(1(3(1(0(2(2(2(3(0(1(2(0(x1)))))))))))))))))) -> 0(2(0(3(2(3(2(1(0(2(0(2(1(0(1(0(2(3(x1))))))))))))))))))
   2(2(1(3(1(3(0(0(2(1(2(2(2(1(1(1(0(1(x1)))))))))))))))))) -> 0(2(2(3(3(1(1(2(0(2(1(1(2(1(0(1(2(1(x1))))))))))))))))))
   2(2(1(3(3(0(0(2(1(3(0(1(2(2(2(2(3(3(x1)))))))))))))))))) -> 2(0(2(2(0(2(1(0(3(2(2(1(1(3(2(3(3(3(x1))))))))))))))))))
   2(2(2(2(3(2(0(1(3(1(2(2(2(1(3(2(3(3(x1)))))))))))))))))) -> 2(3(1(2(2(1(2(2(1(0(2(2(2(2(3(3(3(3(x1))))))))))))))))))
   2(2(2(3(0(1(3(2(1(3(3(2(1(2(2(1(2(3(x1)))))))))))))))))) -> 2(2(2(1(1(2(3(2(3(2(2(0(3(1(2(1(3(3(x1))))))))))))))))))
   2(2(3(1(1(1(3(1(2(0(1(2(2(0(1(2(2(2(x1)))))))))))))))))) -> 2(2(1(2(1(3(1(1(2(3(2(2(0(1(2(0(1(2(x1))))))))))))))))))
   2(2(3(2(2(3(1(0(2(3(1(1(1(0(0(1(0(2(x1)))))))))))))))))) -> 0(2(1(1(2(2(0(3(3(0(1(1(2(2(1(0(3(2(x1))))))))))))))))))
   2(3(0(1(3(1(3(3(0(3(0(2(0(3(1(3(2(3(x1)))))))))))))))))) -> 0(2(0(3(3(3(2(1(3(0(3(3(3(3(1(1(2(0(x1))))))))))))))))))
   2(3(2(3(1(2(0(1(3(0(1(3(2(1(0(2(3(3(x1)))))))))))))))))) -> 0(3(1(0(2(2(1(2(2(1(3(3(3(1(0(2(3(3(x1))))))))))))))))))
   2(3(3(2(1(0(3(0(0(0(3(3(1(3(0(0(0(3(x1)))))))))))))))))) -> 2(1(0(3(0(3(0(3(3(3(0(0(0(0(2(1(3(3(x1))))))))))))))))))
   3(0(0(0(2(0(3(2(0(2(2(2(0(0(1(3(0(2(x1)))))))))))))))))) -> 0(0(2(1(2(3(0(3(2(0(2(0(0(3(0(2(0(2(x1))))))))))))))))))
   3(0(0(2(2(2(1(3(1(3(3(3(2(0(2(3(3(3(x1)))))))))))))))))) -> 2(1(2(1(2(3(3(0(2(3(0(3(3(3(2(0(3(3(x1))))))))))))))))))
   3(0(0(3(1(3(0(2(0(2(0(0(1(0(3(2(3(2(x1)))))))))))))))))) -> 0(0(3(2(3(3(0(0(0(3(2(0(1(2(3(1(0(2(x1))))))))))))))))))
   3(0(1(2(1(0(2(1(1(3(0(1(2(3(1(1(1(1(x1)))))))))))))))))) -> 3(3(1(1(1(0(1(2(1(1(1(2(2(3(0(1(0(1(x1))))))))))))))))))
   3(0(2(2(0(1(2(0(0(2(0(2(2(2(3(1(0(2(x1)))))))))))))))))) -> 0(2(1(2(2(3(0(0(3(2(2(1(2(0(2(0(0(2(x1))))))))))))))))))
   3(0(2(2(3(2(2(3(2(2(3(3(2(0(1(3(2(3(x1)))))))))))))))))) -> 0(3(3(2(1(3(3(2(2(3(2(2(2(0(3(2(2(3(x1))))))))))))))))))
   3(0(3(2(2(0(2(0(0(0(1(3(2(3(3(0(3(0(x1)))))))))))))))))) -> 3(0(2(0(1(2(2(0(3(0(2(0(3(0(3(3(3(0(x1))))))))))))))))))
   3(1(0(0(3(0(0(0(0(1(2(0(2(0(2(0(0(1(x1)))))))))))))))))) -> 3(0(0(0(0(0(2(0(0(0(0(3(0(2(1(1(2(1(x1))))))))))))))))))
   3(1(1(1(3(1(3(3(3(2(3(0(0(2(3(1(3(1(x1)))))))))))))))))) -> 3(3(1(2(2(3(0(1(0(3(3(3(1(1(1(3(3(1(x1))))))))))))))))))
   3(1(3(1(1(1(1(3(2(0(0(2(2(2(1(3(3(1(x1)))))))))))))))))) -> 3(1(0(3(1(1(0(2(2(2(3(1(2(1(1(3(3(1(x1))))))))))))))))))
   3(1(3(2(1(1(3(1(2(2(1(3(2(3(1(0(3(1(x1)))))))))))))))))) -> 3(1(3(3(1(2(0(1(1(2(2(1(3(3(2(3(1(1(x1))))))))))))))))))
   3(1(3(2(1(3(1(0(3(2(0(2(0(3(0(2(3(3(x1)))))))))))))))))) -> 2(2(0(1(2(1(0(3(3(3(0(3(2(1(3(3(3(0(x1))))))))))))))))))
   3(2(0(0(0(2(3(3(1(1(0(1(3(2(3(3(0(0(x1)))))))))))))))))) -> 3(0(2(1(2(3(3(0(3(1(0(1(2(3(3(0(0(0(x1))))))))))))))))))
   3(2(1(3(1(2(2(2(3(3(0(2(1(3(0(2(0(2(x1)))))))))))))))))) -> 3(3(3(2(3(2(2(0(2(2(1(0(3(2(1(2(1(0(x1))))))))))))))))))
   3(2(2(1(2(2(3(1(1(2(0(1(3(1(2(2(1(1(x1)))))))))))))))))) -> 3(1(1(1(2(2(1(3(2(3(2(2(1(1(2(0(2(1(x1))))))))))))))))))
   3(2(2(2(3(2(3(0(1(3(2(1(3(2(3(0(2(1(x1)))))))))))))))))) -> 0(0(3(3(2(1(2(1(3(3(3(3(2(2(2(2(2(1(x1))))))))))))))))))
   3(2(3(0(2(2(2(2(0(0(0(1(1(1(3(0(2(3(x1)))))))))))))))))) -> 3(0(2(3(2(0(3(1(2(0(2(1(0(3(2(1(2(0(x1))))))))))))))))))
   3(3(0(2(0(2(0(1(2(0(2(3(0(2(2(0(3(3(x1)))))))))))))))))) -> 3(2(0(3(2(0(0(0(3(0(3(2(2(2(1(2(0(3(x1))))))))))))))))))
   3(3(0(2(3(0(1(3(3(3(1(2(1(3(2(2(0(3(x1)))))))))))))))))) -> 2(3(1(1(0(1(2(0(3(3(3(2(3(2(3(3(0(3(x1))))))))))))))))))
   3(3(0(3(1(0(0(2(2(2(0(0(0(2(2(1(3(2(x1)))))))))))))))))) -> 0(3(2(0(3(3(1(2(1(2(2(0(3(0(0(0(2(2(x1))))))))))))))))))
   3(3(2(0(0(1(0(2(3(3(0(3(1(3(3(1(3(3(x1)))))))))))))))))) -> 0(0(3(3(1(1(0(2(2(3(1(3(3(0(3(3(3(3(x1))))))))))))))))))
   3(3(2(1(3(0(0(1(3(2(0(0(2(3(3(0(0(2(x1)))))))))))))))))) -> 3(0(0(3(0(3(0(1(2(0(3(1(3(0(3(2(2(2(x1))))))))))))))))))
   3(3(2(1(3(2(0(2(0(0(3(1(3(0(2(0(2(2(x1)))))))))))))))))) -> 2(0(1(3(2(2(2(1(2(3(3(0(3(0(0(0(3(2(x1))))))))))))))))))
   3(3(3(1(3(1(3(0(3(3(2(0(1(3(0(1(2(3(x1)))))))))))))))))) -> 3(3(3(1(1(3(1(3(3(3(2(3(0(3(1(2(0(0(x1))))))))))))))))))
   3(3(3(2(3(0(2(2(3(1(2(3(0(3(3(2(2(2(x1)))))))))))))))))) -> 3(0(3(2(2(2(0(3(3(3(2(2(3(2(1(3(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_1(x_1) -> 1(encArg(x_1))
   encode_3(x_1) -> 3(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:

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

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

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

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

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

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

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

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

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

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


The TRS R consists of the following rules:

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

   2'(c_2(c_2(c_3(c_0(c_1(c_3(c_2(c_1(c_3(c_3(c_2(c_1(c_2(c_2(c_1(c_2(c_3(x1)))))))))))))))))) -> 2'(2'(2'(1'(1'(2'(3'(2'(3'(2'(2'(0'(3'(1'(2'(1'(3'(3'(x1)))))))))))))))))) [1]
   3'(c_0(c_0(c_3(c_1(c_3(c_0(c_2(c_0(c_2(c_0(c_0(c_1(c_0(c_3(c_2(c_3(c_2(x1)))))))))))))))))) -> 0'(0'(3'(2'(3'(3'(0'(0'(0'(3'(2'(0'(1'(2'(3'(1'(0'(2'(x1)))))))))))))))))) [1]
   0'(c_0(c_2(c_0(c_3(c_3(c_2(c_3(c_1(c_3(c_1(c_0(c_2(c_1(c_3(c_0(c_2(c_0(x1)))))))))))))))))) -> 0'(0'(1'(1'(3'(0'(3'(3'(1'(2'(0'(2'(3'(0'(2'(2'(0'(3'(x1)))))))))))))))))) [1]
   3'(c_3(c_0(c_2(c_3(c_0(c_1(c_3(c_3(c_3(c_1(c_2(c_1(c_3(c_2(c_2(c_0(c_3(x1)))))))))))))))))) -> 2'(3'(1'(1'(0'(1'(2'(0'(3'(3'(3'(2'(3'(2'(3'(3'(0'(3'(x1)))))))))))))))))) [1]
   1'(c_2(c_3(c_0(c_1(c_0(c_3(c_1(c_2(c_3(c_1(c_1(c_1(c_1(c_3(c_2(c_3(c_0(x1)))))))))))))))))) -> 1'(1'(2'(1'(1'(3'(0'(3'(3'(2'(1'(2'(0'(3'(1'(1'(3'(0'(x1)))))))))))))))))) [1]
   2'(c_2(c_1(c_3(c_1(c_3(c_0(c_0(c_2(c_1(c_2(c_2(c_2(c_1(c_1(c_1(c_0(c_1(x1)))))))))))))))))) -> 0'(2'(2'(3'(3'(1'(1'(2'(0'(2'(1'(1'(2'(1'(0'(1'(2'(1'(x1)))))))))))))))))) [1]
   1'(c_3(c_1(c_3(c_1(c_1(c_1(c_2(c_1(c_3(c_0(c_1(c_2(c_1(c_3(c_1(c_1(c_0(x1)))))))))))))))))) -> 1'(0'(1'(1'(1'(3'(3'(2'(3'(0'(1'(2'(1'(1'(1'(1'(1'(3'(x1)))))))))))))))))) [1]
   0'(c_0(c_2(c_0(c_3(c_0(c_2(c_2(c_3(c_0(c_2(c_0(c_0(c_2(c_3(c_0(c_0(c_2(x1)))))))))))))))))) -> 0'(0'(3'(2'(2'(0'(2'(0'(0'(0'(2'(2'(0'(3'(0'(0'(3'(2'(x1)))))))))))))))))) [1]
   0'(c_0(c_0(c_1(c_3(c_3(c_2(c_2(c_3(c_0(c_0(c_1(c_3(c_2(c_2(c_3(c_3(c_2(x1)))))))))))))))))) -> 3'(0'(2'(3'(0'(3'(0'(3'(0'(0'(1'(2'(3'(3'(1'(2'(2'(2'(x1)))))))))))))))))) [1]
   0'(c_0(c_0(c_2(c_2(c_3(c_0(c_0(c_1(c_0(c_0(c_0(c_1(c_0(c_3(c_1(c_2(c_2(x1)))))))))))))))))) -> 0'(0'(0'(3'(2'(0'(1'(3'(0'(2'(1'(0'(0'(1'(2'(0'(0'(2'(x1)))))))))))))))))) [1]
   0'(c_1(c_0(c_2(c_2(c_1(c_2(c_1(c_3(c_1(c_1(c_2(c_0(c_1(c_2(c_0(c_1(c_0(x1)))))))))))))))))) -> 2'(0'(0'(3'(1'(2'(2'(1'(2'(0'(1'(0'(1'(2'(1'(1'(1'(0'(x1)))))))))))))))))) [1]
   0'(c_2(c_1(c_0(c_2(c_0(c_3(c_0(c_1(c_0(c_2(c_0(c_2(c_0(c_1(c_2(c_0(c_3(x1)))))))))))))))))) -> 0'(2'(1'(2'(0'(2'(1'(2'(0'(3'(0'(0'(3'(2'(1'(0'(0'(0'(x1)))))))))))))))))) [1]
   2'(c_0(c_0(c_1(c_3(c_1(c_3(c_2(c_1(c_0(c_0(c_2(c_2(c_2(c_0(c_2(c_0(c_3(x1)))))))))))))))))) -> 0'(2'(2'(2'(0'(2'(1'(0'(0'(3'(0'(0'(1'(2'(2'(1'(3'(3'(x1)))))))))))))))))) [1]
   2'(c_3(c_2(c_3(c_1(c_2(c_0(c_1(c_3(c_0(c_1(c_3(c_2(c_1(c_0(c_2(c_3(c_3(x1)))))))))))))))))) -> 0'(3'(1'(0'(2'(2'(1'(2'(2'(1'(3'(3'(3'(1'(0'(2'(3'(3'(x1)))))))))))))))))) [1]
   3'(c_3(c_3(c_2(c_3(c_0(c_2(c_2(c_3(c_1(c_2(c_3(c_0(c_3(c_3(c_2(c_2(c_2(x1)))))))))))))))))) -> 3'(0'(3'(2'(2'(2'(0'(3'(3'(3'(2'(2'(3'(2'(1'(3'(3'(2'(x1)))))))))))))))))) [1]
   2'(c_1(c_2(c_2(c_2(c_2(c_2(c_0(c_1(c_3(c_2(c_0(c_0(c_1(c_2(c_3(c_1(c_2(x1)))))))))))))))))) -> 2'(1'(2'(2'(1'(0'(0'(3'(3'(0'(1'(2'(2'(2'(2'(2'(1'(2'(x1)))))))))))))))))) [1]
   2'(c_2(c_3(c_2(c_2(c_3(c_1(c_0(c_2(c_3(c_1(c_1(c_1(c_0(c_0(c_1(c_0(c_2(x1)))))))))))))))))) -> 0'(2'(1'(1'(2'(2'(0'(3'(3'(0'(1'(1'(2'(2'(1'(0'(3'(2'(x1)))))))))))))))))) [1]
   3'(c_1(c_1(c_1(c_3(c_1(c_3(c_3(c_3(c_2(c_3(c_0(c_0(c_2(c_3(c_1(c_3(c_1(x1)))))))))))))))))) -> 3'(3'(1'(2'(2'(3'(0'(1'(0'(3'(3'(3'(1'(1'(1'(3'(3'(1'(x1)))))))))))))))))) [1]
   0'(c_1(c_2(c_3(c_3(c_3(c_1(c_3(c_3(c_3(c_2(c_3(c_1(c_2(c_0(c_1(c_3(c_1(x1)))))))))))))))))) -> 2'(3'(0'(3'(3'(3'(1'(1'(3'(0'(3'(1'(3'(2'(3'(1'(2'(1'(x1)))))))))))))))))) [1]
   2'(c_3(c_3(c_2(c_1(c_0(c_3(c_0(c_0(c_0(c_3(c_3(c_1(c_3(c_0(c_0(c_0(c_3(x1)))))))))))))))))) -> 2'(1'(0'(3'(0'(3'(0'(3'(3'(3'(0'(0'(0'(0'(2'(1'(3'(3'(x1)))))))))))))))))) [1]
   0'(c_1(c_1(c_1(c_3(c_0(c_1(c_3(c_1(c_2(c_0(c_2(c_1(c_2(c_2(c_0(c_3(c_0(x1)))))))))))))))))) -> 3'(0'(3'(2'(2'(1'(1'(1'(2'(0'(1'(1'(2'(1'(3'(0'(0'(0'(x1)))))))))))))))))) [1]
   2'(c_1(c_0(c_3(c_1(c_3(c_1(c_2(c_2(c_2(c_2(c_1(c_2(c_3(c_1(c_3(c_0(c_2(x1)))))))))))))))))) -> 2'(3'(3'(2'(1'(2'(0'(3'(1'(2'(2'(1'(0'(3'(2'(2'(1'(1'(x1)))))))))))))))))) [1]
   1'(c_1(c_0(c_3(c_1(c_2(c_0(c_0(c_1(c_3(c_2(c_1(c_2(c_0(c_3(c_0(c_2(c_2(x1)))))))))))))))))) -> 1'(1'(2'(2'(3'(2'(1'(0'(0'(3'(2'(3'(0'(0'(0'(1'(1'(2'(x1)))))))))))))))))) [1]
   2'(c_2(c_3(c_1(c_1(c_1(c_3(c_1(c_2(c_0(c_1(c_2(c_2(c_0(c_1(c_2(c_2(c_2(x1)))))))))))))))))) -> 2'(2'(1'(2'(1'(3'(1'(1'(2'(3'(2'(2'(0'(1'(2'(0'(1'(2'(x1)))))))))))))))))) [1]
   3'(c_3(c_2(c_0(c_0(c_1(c_0(c_2(c_3(c_3(c_0(c_3(c_1(c_3(c_3(c_1(c_3(c_3(x1)))))))))))))))))) -> 0'(0'(3'(3'(1'(1'(0'(2'(2'(3'(1'(3'(3'(0'(3'(3'(3'(3'(x1)))))))))))))))))) [1]
   1'(c_2(c_2(c_0(c_3(c_1(c_3(c_0(c_0(c_1(c_3(c_3(c_0(c_3(c_2(c_3(c_1(c_2(x1)))))))))))))))))) -> 1'(0'(2'(3'(3'(3'(3'(0'(2'(0'(3'(1'(0'(3'(1'(2'(1'(2'(x1)))))))))))))))))) [1]
   2'(c_2(c_2(c_2(c_3(c_2(c_0(c_1(c_3(c_1(c_2(c_2(c_2(c_1(c_3(c_2(c_3(c_3(x1)))))))))))))))))) -> 2'(3'(1'(2'(2'(1'(2'(2'(1'(0'(2'(2'(2'(2'(3'(3'(3'(3'(x1)))))))))))))))))) [1]
   3'(c_1(c_3(c_2(c_1(c_3(c_1(c_0(c_3(c_2(c_0(c_2(c_0(c_3(c_0(c_2(c_3(c_3(x1)))))))))))))))))) -> 2'(2'(0'(1'(2'(1'(0'(3'(3'(3'(0'(3'(2'(1'(3'(3'(3'(0'(x1)))))))))))))))))) [1]
   2'(c_0(c_2(c_2(c_3(c_1(c_0(c_3(c_2(c_3(c_0(c_3(c_2(c_0(c_0(c_2(c_0(c_2(x1)))))))))))))))))) -> 2'(0'(0'(2'(3'(0'(3'(3'(0'(3'(2'(0'(1'(2'(2'(2'(0'(2'(x1)))))))))))))))))) [1]
   2'(c_1(c_3(c_0(c_0(c_2(c_2(c_1(c_1(c_3(c_1(c_3(c_1(c_0(c_0(c_2(c_1(c_2(x1)))))))))))))))))) -> 0'(1'(2'(1'(0'(1'(2'(1'(0'(0'(1'(1'(2'(3'(3'(3'(2'(2'(x1)))))))))))))))))) [1]
   3'(c_1(c_3(c_1(c_1(c_1(c_1(c_3(c_2(c_0(c_0(c_2(c_2(c_2(c_1(c_3(c_3(c_1(x1)))))))))))))))))) -> 3'(1'(0'(3'(1'(1'(0'(2'(2'(2'(3'(1'(2'(1'(1'(3'(3'(1'(x1)))))))))))))))))) [1]
   3'(c_0(c_0(c_2(c_2(c_2(c_1(c_3(c_1(c_3(c_3(c_3(c_2(c_0(c_2(c_3(c_3(c_3(x1)))))))))))))))))) -> 2'(1'(2'(1'(2'(3'(3'(0'(2'(3'(0'(3'(3'(3'(2'(0'(3'(3'(x1)))))))))))))))))) [1]
   0'(c_1(c_3(c_2(c_3(c_1(c_1(c_3(c_2(c_2(c_0(c_0(c_1(c_3(c_2(c_3(c_3(c_3(x1)))))))))))))))))) -> 2'(3'(0'(3'(3'(3'(1'(0'(0'(1'(2'(1'(3'(2'(3'(2'(1'(3'(x1)))))))))))))))))) [1]
   0'(c_1(c_0(c_0(c_2(c_2(c_2(c_3(c_2(c_1(c_3(c_2(c_3(c_3(c_1(c_0(c_1(c_0(x1)))))))))))))))))) -> 0'(1'(2'(3'(0'(3'(3'(0'(2'(0'(1'(0'(2'(1'(3'(2'(1'(2'(x1)))))))))))))))))) [1]
   0'(c_3(c_2(c_3(c_1(c_0(c_0(c_1(c_0(c_0(c_1(c_2(c_3(c_2(c_1(c_1(c_0(c_1(x1)))))))))))))))))) -> 3'(0'(0'(3'(1'(1'(0'(0'(2'(1'(2'(2'(0'(1'(1'(0'(3'(1'(x1)))))))))))))))))) [1]
   1'(c_1(c_0(c_0(c_0(c_2(c_0(c_1(c_0(c_1(c_1(c_0(c_3(c_2(c_1(c_0(c_0(c_2(x1)))))))))))))))))) -> 1'(1'(2'(1'(1'(0'(0'(2'(3'(0'(0'(0'(0'(1'(1'(0'(0'(2'(x1)))))))))))))))))) [1]
   0'(c_2(c_0(c_1(c_0(c_0(c_0(c_1(c_0(c_3(c_0(c_2(c_3(c_3(c_3(c_3(c_0(c_3(x1)))))))))))))))))) -> 0'(3'(0'(0'(0'(3'(3'(2'(0'(1'(1'(0'(2'(3'(0'(0'(3'(3'(x1)))))))))))))))))) [1]
   2'(c_0(c_3(c_0(c_0(c_1(c_3(c_1(c_2(c_0(c_2(c_1(c_3(c_0(c_2(c_2(c_0(c_0(x1)))))))))))))))))) -> 0'(0'(3'(0'(3'(2'(1'(2'(1'(2'(2'(1'(2'(0'(0'(0'(3'(0'(x1)))))))))))))))))) [1]
   3'(c_3(c_3(c_1(c_3(c_1(c_3(c_0(c_3(c_3(c_2(c_0(c_1(c_3(c_0(c_1(c_2(c_3(x1)))))))))))))))))) -> 3'(3'(3'(1'(1'(3'(1'(3'(3'(3'(2'(3'(0'(3'(1'(2'(0'(0'(x1)))))))))))))))))) [1]
   3'(c_0(c_0(c_0(c_2(c_0(c_3(c_2(c_0(c_2(c_2(c_2(c_0(c_0(c_1(c_3(c_0(c_2(x1)))))))))))))))))) -> 0'(0'(2'(1'(2'(3'(0'(3'(2'(0'(2'(0'(0'(3'(0'(2'(0'(2'(x1)))))))))))))))))) [1]
   3'(c_2(c_3(c_0(c_2(c_2(c_2(c_2(c_0(c_0(c_0(c_1(c_1(c_1(c_3(c_0(c_2(c_3(x1)))))))))))))))))) -> 3'(0'(2'(3'(2'(0'(3'(1'(2'(0'(2'(1'(0'(3'(2'(1'(2'(0'(x1)))))))))))))))))) [1]
   0'(c_2(c_0(c_1(c_3(c_1(c_0(c_0(c_3(c_2(c_0(c_2(c_2(c_3(c_0(c_1(c_0(c_0(x1)))))))))))))))))) -> 1'(0'(0'(3'(2'(1'(2'(2'(2'(0'(0'(3'(1'(0'(0'(0'(3'(0'(x1)))))))))))))))))) [1]
   2'(c_0(c_2(c_0(c_3(c_0(c_0(c_2(c_2(c_1(c_1(c_0(c_3(c_1(c_0(c_3(c_1(c_1(x1)))))))))))))))))) -> 2'(0'(0'(3'(3'(2'(2'(1'(0'(1'(0'(1'(0'(3'(2'(1'(0'(1'(x1)))))))))))))))))) [1]
   1'(c_3(c_1(c_3(c_2(c_0(c_0(c_0(c_1(c_3(c_1(c_0(c_2(c_2(c_2(c_1(c_0(c_2(x1)))))))))))))))))) -> 1'(0'(1'(1'(2'(2'(0'(3'(3'(0'(1'(0'(1'(2'(2'(3'(0'(2'(x1)))))))))))))))))) [1]
   2'(c_2(c_0(c_0(c_3(c_0(c_1(c_3(c_1(c_0(c_2(c_2(c_2(c_3(c_0(c_1(c_2(c_0(x1)))))))))))))))))) -> 0'(2'(0'(3'(2'(3'(2'(1'(0'(2'(0'(2'(1'(0'(1'(0'(2'(3'(x1)))))))))))))))))) [1]
   3'(c_2(c_0(c_0(c_0(c_2(c_3(c_3(c_1(c_1(c_0(c_1(c_3(c_2(c_3(c_3(c_0(c_0(x1)))))))))))))))))) -> 3'(0'(2'(1'(2'(3'(3'(0'(3'(1'(0'(1'(2'(3'(3'(0'(0'(0'(x1)))))))))))))))))) [1]
   3'(c_0(c_3(c_2(c_2(c_0(c_2(c_0(c_0(c_0(c_1(c_3(c_2(c_3(c_3(c_0(c_3(c_0(x1)))))))))))))))))) -> 3'(0'(2'(0'(1'(2'(2'(0'(3'(0'(2'(0'(3'(0'(3'(3'(3'(0'(x1)))))))))))))))))) [1]
   1'(c_0(c_0(c_0(c_3(c_0(c_2(c_1(c_3(c_3(c_1(c_2(c_2(c_3(c_1(c_3(c_2(c_1(x1)))))))))))))))))) -> 1'(2'(1'(3'(3'(0'(3'(0'(3'(1'(0'(2'(2'(3'(1'(0'(2'(1'(x1)))))))))))))))))) [1]
   0'(c_1(c_2(c_2(c_3(c_1(c_3(c_3(c_1(c_3(c_2(c_2(c_3(c_3(c_0(c_2(c_0(c_2(x1)))))))))))))))))) -> 0'(1'(2'(3'(0'(3'(3'(3'(3'(2'(2'(1'(2'(0'(2'(3'(1'(2'(x1)))))))))))))))))) [1]
   1'(c_3(c_3(c_1(c_3(c_1(c_3(c_0(c_1(c_0(c_2(c_3(c_1(c_1(c_1(c_3(c_0(c_3(x1)))))))))))))))))) -> 1'(1'(1'(2'(1'(3'(0'(0'(3'(3'(3'(0'(1'(1'(3'(3'(1'(3'(x1)))))))))))))))))) [1]
   2'(c_0(c_0(c_0(c_1(c_1(c_3(c_1(c_1(c_1(c_2(c_2(c_2(c_2(c_2(c_0(c_1(c_3(x1)))))))))))))))))) -> 2'(0'(1'(2'(0'(0'(3'(2'(2'(1'(1'(1'(1'(2'(2'(1'(3'(0'(x1)))))))))))))))))) [1]
   3'(c_0(c_2(c_2(c_0(c_1(c_2(c_0(c_0(c_2(c_0(c_2(c_2(c_2(c_3(c_1(c_0(c_2(x1)))))))))))))))))) -> 0'(2'(1'(2'(2'(3'(0'(0'(3'(2'(2'(1'(2'(0'(2'(0'(0'(2'(x1)))))))))))))))))) [1]
   1'(c_2(c_2(c_2(c_2(c_0(c_3(c_3(c_2(c_1(c_3(c_0(c_2(c_1(c_3(c_2(c_0(c_3(x1)))))))))))))))))) -> 1'(2'(2'(1'(2'(1'(2'(0'(2'(3'(2'(2'(0'(0'(3'(3'(3'(3'(x1)))))))))))))))))) [1]
   0'(c_3(c_1(c_1(c_2(c_2(c_0(c_0(c_0(c_1(c_3(c_2(c_3(c_3(c_3(c_3(c_3(c_3(x1)))))))))))))))))) -> 3'(0'(3'(2'(3'(3'(0'(0'(3'(2'(1'(1'(0'(3'(1'(2'(3'(3'(x1)))))))))))))))))) [1]
   0'(c_3(c_1(c_2(c_1(c_0(c_2(c_1(c_3(c_0(c_3(c_2(c_3(c_2(c_3(c_0(c_1(c_2(x1)))))))))))))))))) -> 3'(0'(2'(3'(0'(3'(1'(2'(1'(2'(3'(0'(3'(1'(0'(2'(1'(2'(x1)))))))))))))))))) [1]
   2'(c_0(c_3(c_1(c_0(c_3(c_2(c_1(c_0(c_2(c_3(c_1(c_0(c_2(c_2(c_1(c_1(c_1(x1)))))))))))))))))) -> 2'(1'(2'(2'(2'(0'(1'(1'(0'(0'(3'(3'(1'(3'(0'(2'(1'(1'(x1)))))))))))))))))) [1]
   2'(c_1(c_2(c_1(c_3(c_0(c_2(c_2(c_3(c_2(c_3(c_1(c_1(c_1(c_3(c_3(c_0(c_2(x1)))))))))))))))))) -> 2'(1'(2'(1'(3'(2'(1'(2'(3'(2'(3'(3'(0'(0'(3'(1'(2'(1'(x1)))))))))))))))))) [1]
   3'(c_3(c_2(c_1(c_3(c_2(c_0(c_2(c_0(c_0(c_3(c_1(c_3(c_0(c_2(c_0(c_2(c_2(x1)))))))))))))))))) -> 2'(0'(1'(3'(2'(2'(2'(1'(2'(3'(3'(0'(3'(0'(0'(0'(3'(2'(x1)))))))))))))))))) [1]
   3'(c_0(c_2(c_2(c_3(c_2(c_2(c_3(c_2(c_2(c_3(c_3(c_2(c_0(c_1(c_3(c_2(c_3(x1)))))))))))))))))) -> 0'(3'(3'(2'(1'(3'(3'(2'(2'(3'(2'(2'(2'(0'(3'(2'(2'(3'(x1)))))))))))))))))) [1]
   2'(c_2(c_1(c_3(c_3(c_0(c_0(c_2(c_1(c_3(c_0(c_1(c_2(c_2(c_2(c_2(c_3(c_3(x1)))))))))))))))))) -> 2'(0'(2'(2'(0'(2'(1'(0'(3'(2'(2'(1'(1'(3'(2'(3'(3'(3'(x1)))))))))))))))))) [1]
   3'(c_0(c_1(c_2(c_1(c_0(c_2(c_1(c_1(c_3(c_0(c_1(c_2(c_3(c_1(c_1(c_1(c_1(x1)))))))))))))))))) -> 3'(3'(1'(1'(1'(0'(1'(2'(1'(1'(1'(2'(2'(3'(0'(1'(0'(1'(x1)))))))))))))))))) [1]
   3'(c_3(c_2(c_1(c_3(c_0(c_0(c_1(c_3(c_2(c_0(c_0(c_2(c_3(c_3(c_0(c_0(c_2(x1)))))))))))))))))) -> 3'(0'(0'(3'(0'(3'(0'(1'(2'(0'(3'(1'(3'(0'(3'(2'(2'(2'(x1)))))))))))))))))) [1]
   0'(c_1(c_2(c_3(c_0(c_2(c_1(c_1(c_3(c_3(c_3(c_2(c_3(c_1(c_3(c_1(c_3(c_1(x1)))))))))))))))))) -> 2'(1'(3'(2'(3'(1'(1'(3'(3'(0'(3'(3'(0'(3'(2'(1'(1'(1'(x1)))))))))))))))))) [1]
   2'(c_1(c_2(c_3(c_1(c_3(c_2(c_0(c_2(c_2(c_3(c_3(c_3(c_2(c_3(c_1(c_3(c_3(x1)))))))))))))))))) -> 2'(3'(3'(2'(2'(1'(3'(2'(3'(2'(1'(0'(3'(3'(1'(2'(3'(3'(x1)))))))))))))))))) [1]
   1'(c_3(c_0(c_2(c_0(c_3(c_2(c_2(c_1(c_3(c_2(c_3(c_2(c_2(c_2(c_1(c_3(c_2(x1)))))))))))))))))) -> 1'(3'(2'(1'(2'(2'(3'(3'(3'(2'(1'(3'(2'(0'(0'(2'(2'(2'(x1)))))))))))))))))) [1]
   3'(c_3(c_0(c_2(c_0(c_2(c_0(c_1(c_2(c_0(c_2(c_3(c_0(c_2(c_2(c_0(c_3(c_3(x1)))))))))))))))))) -> 3'(2'(0'(3'(2'(0'(0'(0'(3'(0'(3'(2'(2'(2'(1'(2'(0'(3'(x1)))))))))))))))))) [1]
   1'(c_3(c_2(c_2(c_0(c_3(c_1(c_1(c_3(c_1(c_3(c_0(c_2(c_1(c_2(c_2(c_0(c_3(x1)))))))))))))))))) -> 1'(1'(2'(1'(0'(1'(2'(3'(3'(0'(3'(0'(3'(2'(2'(1'(2'(3'(x1)))))))))))))))))) [1]
   0'(c_0(c_2(c_0(c_1(c_1(c_3(c_0(c_2(c_3(c_2(c_2(c_0(c_2(c_3(c_3(c_1(c_2(x1)))))))))))))))))) -> 0'(0'(3'(2'(1'(0'(0'(3'(1'(3'(0'(3'(2'(2'(1'(2'(2'(2'(x1)))))))))))))))))) [1]
   0'(c_3(c_3(c_2(c_3(c_1(c_3(c_2(c_0(c_0(c_2(c_1(c_3(c_1(c_3(c_2(c_3(c_3(x1)))))))))))))))))) -> 3'(2'(2'(3'(2'(0'(1'(2'(1'(3'(1'(3'(0'(3'(0'(3'(3'(3'(x1)))))))))))))))))) [1]
   0'(c_0(c_1(c_3(c_1(c_0(c_0(c_1(c_3(c_3(c_0(c_0(c_1(c_2(c_2(c_1(c_1(c_1(x1)))))))))))))))))) -> 3'(3'(0'(2'(0'(0'(0'(0'(1'(0'(2'(1'(3'(1'(1'(1'(1'(1'(x1)))))))))))))))))) [1]
   3'(c_2(c_2(c_1(c_2(c_2(c_3(c_1(c_1(c_2(c_0(c_1(c_3(c_1(c_2(c_2(c_1(c_1(x1)))))))))))))))))) -> 3'(1'(1'(1'(2'(2'(1'(3'(2'(3'(2'(2'(1'(1'(2'(0'(2'(1'(x1)))))))))))))))))) [1]
   2'(c_0(c_1(c_0(c_1(c_2(c_2(c_2(c_2(c_3(c_3(c_1(c_1(c_1(c_1(c_2(c_1(c_2(x1)))))))))))))))))) -> 0'(2'(2'(1'(1'(1'(2'(1'(0'(3'(3'(2'(2'(1'(1'(2'(1'(2'(x1)))))))))))))))))) [1]
   3'(c_2(c_2(c_2(c_3(c_2(c_3(c_0(c_1(c_3(c_2(c_1(c_3(c_2(c_3(c_0(c_2(c_1(x1)))))))))))))))))) -> 0'(0'(3'(3'(2'(1'(2'(1'(3'(3'(3'(3'(2'(2'(2'(2'(2'(1'(x1)))))))))))))))))) [1]
   3'(c_1(c_3(c_2(c_1(c_1(c_3(c_1(c_2(c_2(c_1(c_3(c_2(c_3(c_1(c_0(c_3(c_1(x1)))))))))))))))))) -> 3'(1'(3'(3'(1'(2'(0'(1'(1'(2'(2'(1'(3'(3'(2'(3'(1'(1'(x1)))))))))))))))))) [1]
   1'(c_0(c_2(c_1(c_2(c_3(c_3(c_0(c_1(c_0(c_2(c_3(c_0(c_1(c_1(c_3(c_3(c_1(x1)))))))))))))))))) -> 1'(2'(1'(1'(1'(3'(0'(3'(0'(3'(1'(0'(3'(2'(2'(0'(3'(1'(x1)))))))))))))))))) [1]
   3'(c_2(c_1(c_3(c_1(c_2(c_2(c_2(c_3(c_3(c_0(c_2(c_1(c_3(c_0(c_2(c_0(c_2(x1)))))))))))))))))) -> 3'(3'(3'(2'(3'(2'(2'(0'(2'(2'(1'(0'(3'(2'(1'(2'(1'(0'(x1)))))))))))))))))) [1]
   3'(c_1(c_0(c_0(c_3(c_0(c_0(c_0(c_0(c_1(c_2(c_0(c_2(c_0(c_2(c_0(c_0(c_1(x1)))))))))))))))))) -> 3'(0'(0'(0'(0'(0'(2'(0'(0'(0'(0'(3'(0'(2'(1'(1'(2'(1'(x1)))))))))))))))))) [1]
   2'(c_3(c_0(c_1(c_3(c_1(c_3(c_3(c_0(c_3(c_0(c_2(c_0(c_3(c_1(c_3(c_2(c_3(x1)))))))))))))))))) -> 0'(2'(0'(3'(3'(3'(2'(1'(3'(0'(3'(3'(3'(3'(1'(1'(2'(0'(x1)))))))))))))))))) [1]
   3'(c_3(c_0(c_3(c_1(c_0(c_0(c_2(c_2(c_2(c_0(c_0(c_0(c_2(c_2(c_1(c_3(c_2(x1)))))))))))))))))) -> 0'(3'(2'(0'(3'(3'(1'(2'(1'(2'(2'(0'(3'(0'(0'(0'(2'(2'(x1)))))))))))))))))) [1]
   1'(c_0(c_2(c_0(c_0(c_0(c_1(c_2(c_3(c_0(c_1(c_2(c_2(c_2(c_1(c_2(c_2(c_0(x1)))))))))))))))))) -> 1'(2'(2'(0'(0'(1'(1'(0'(0'(2'(2'(2'(2'(1'(2'(0'(0'(3'(x1)))))))))))))))))) [1]
   encArg(cons_0(x_1)) -> 0'(encArg(x_1)) [0]
   encArg(cons_1(x_1)) -> 1'(encArg(x_1)) [0]
   encArg(cons_2(x_1)) -> 2'(encArg(x_1)) [0]
   encArg(cons_3(x_1)) -> 3'(encArg(x_1)) [0]
   encode_0(x_1) -> 0'(encArg(x_1)) [0]
   encode_1(x_1) -> 1'(encArg(x_1)) [0]
   encode_3(x_1) -> 3'(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:
2' :: c_3:c_2:c_1:c_0 -> c_3:c_2:c_1:c_0
c_2 :: c_3:c_2:c_1:c_0 -> c_3:c_2:c_1:c_0
c_3 :: c_3:c_2:c_1:c_0 -> c_3:c_2:c_1:c_0
c_0 :: c_3:c_2:c_1:c_0 -> c_3:c_2:c_1:c_0
c_1 :: c_3:c_2:c_1:c_0 -> c_3:c_2:c_1:c_0
1' :: c_3:c_2:c_1:c_0 -> c_3:c_2:c_1:c_0
3' :: c_3:c_2:c_1:c_0 -> c_3:c_2:c_1:c_0
0' :: c_3:c_2:c_1:c_0 -> c_3:c_2:c_1:c_0
encArg :: cons_0:cons_1:cons_2:cons_3 -> c_3:c_2:c_1:c_0
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_3:c_2:c_1:c_0
encode_1 :: cons_0:cons_1:cons_2:cons_3 -> c_3:c_2:c_1:c_0
encode_3 :: cons_0:cons_1:cons_2:cons_3 -> c_3:c_2:c_1:c_0
encode_2 :: cons_0:cons_1:cons_2:cons_3 -> c_3:c_2:c_1:c_0

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

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

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

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

(c) The following functions are completely defined:

   encArg_1
   encode_0_1
   encode_1_1
   encode_3_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_1(v0) -> const [0]
   encode_3(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:

   2'(c_2(c_2(c_3(c_0(c_1(c_3(c_2(c_1(c_3(c_3(c_2(c_1(c_2(c_2(c_1(c_2(c_3(x1)))))))))))))))))) -> 2'(2'(2'(1'(1'(2'(3'(2'(3'(2'(2'(0'(3'(1'(2'(1'(3'(3'(x1)))))))))))))))))) [1]
   3'(c_0(c_0(c_3(c_1(c_3(c_0(c_2(c_0(c_2(c_0(c_0(c_1(c_0(c_3(c_2(c_3(c_2(x1)))))))))))))))))) -> 0'(0'(3'(2'(3'(3'(0'(0'(0'(3'(2'(0'(1'(2'(3'(1'(0'(2'(x1)))))))))))))))))) [1]
   0'(c_0(c_2(c_0(c_3(c_3(c_2(c_3(c_1(c_3(c_1(c_0(c_2(c_1(c_3(c_0(c_2(c_0(x1)))))))))))))))))) -> 0'(0'(1'(1'(3'(0'(3'(3'(1'(2'(0'(2'(3'(0'(2'(2'(0'(3'(x1)))))))))))))))))) [1]
   3'(c_3(c_0(c_2(c_3(c_0(c_1(c_3(c_3(c_3(c_1(c_2(c_1(c_3(c_2(c_2(c_0(c_3(x1)))))))))))))))))) -> 2'(3'(1'(1'(0'(1'(2'(0'(3'(3'(3'(2'(3'(2'(3'(3'(0'(3'(x1)))))))))))))))))) [1]
   1'(c_2(c_3(c_0(c_1(c_0(c_3(c_1(c_2(c_3(c_1(c_1(c_1(c_1(c_3(c_2(c_3(c_0(x1)))))))))))))))))) -> 1'(1'(2'(1'(1'(3'(0'(3'(3'(2'(1'(2'(0'(3'(1'(1'(3'(0'(x1)))))))))))))))))) [1]
   2'(c_2(c_1(c_3(c_1(c_3(c_0(c_0(c_2(c_1(c_2(c_2(c_2(c_1(c_1(c_1(c_0(c_1(x1)))))))))))))))))) -> 0'(2'(2'(3'(3'(1'(1'(2'(0'(2'(1'(1'(2'(1'(0'(1'(2'(1'(x1)))))))))))))))))) [1]
   1'(c_3(c_1(c_3(c_1(c_1(c_1(c_2(c_1(c_3(c_0(c_1(c_2(c_1(c_3(c_1(c_1(c_0(x1)))))))))))))))))) -> 1'(0'(1'(1'(1'(3'(3'(2'(3'(0'(1'(2'(1'(1'(1'(1'(1'(3'(x1)))))))))))))))))) [1]
   0'(c_0(c_2(c_0(c_3(c_0(c_2(c_2(c_3(c_0(c_2(c_0(c_0(c_2(c_3(c_0(c_0(c_2(x1)))))))))))))))))) -> 0'(0'(3'(2'(2'(0'(2'(0'(0'(0'(2'(2'(0'(3'(0'(0'(3'(2'(x1)))))))))))))))))) [1]
   0'(c_0(c_0(c_1(c_3(c_3(c_2(c_2(c_3(c_0(c_0(c_1(c_3(c_2(c_2(c_3(c_3(c_2(x1)))))))))))))))))) -> 3'(0'(2'(3'(0'(3'(0'(3'(0'(0'(1'(2'(3'(3'(1'(2'(2'(2'(x1)))))))))))))))))) [1]
   0'(c_0(c_0(c_2(c_2(c_3(c_0(c_0(c_1(c_0(c_0(c_0(c_1(c_0(c_3(c_1(c_2(c_2(x1)))))))))))))))))) -> 0'(0'(0'(3'(2'(0'(1'(3'(0'(2'(1'(0'(0'(1'(2'(0'(0'(2'(x1)))))))))))))))))) [1]
   0'(c_1(c_0(c_2(c_2(c_1(c_2(c_1(c_3(c_1(c_1(c_2(c_0(c_1(c_2(c_0(c_1(c_0(x1)))))))))))))))))) -> 2'(0'(0'(3'(1'(2'(2'(1'(2'(0'(1'(0'(1'(2'(1'(1'(1'(0'(x1)))))))))))))))))) [1]
   0'(c_2(c_1(c_0(c_2(c_0(c_3(c_0(c_1(c_0(c_2(c_0(c_2(c_0(c_1(c_2(c_0(c_3(x1)))))))))))))))))) -> 0'(2'(1'(2'(0'(2'(1'(2'(0'(3'(0'(0'(3'(2'(1'(0'(0'(0'(x1)))))))))))))))))) [1]
   2'(c_0(c_0(c_1(c_3(c_1(c_3(c_2(c_1(c_0(c_0(c_2(c_2(c_2(c_0(c_2(c_0(c_3(x1)))))))))))))))))) -> 0'(2'(2'(2'(0'(2'(1'(0'(0'(3'(0'(0'(1'(2'(2'(1'(3'(3'(x1)))))))))))))))))) [1]
   2'(c_3(c_2(c_3(c_1(c_2(c_0(c_1(c_3(c_0(c_1(c_3(c_2(c_1(c_0(c_2(c_3(c_3(x1)))))))))))))))))) -> 0'(3'(1'(0'(2'(2'(1'(2'(2'(1'(3'(3'(3'(1'(0'(2'(3'(3'(x1)))))))))))))))))) [1]
   3'(c_3(c_3(c_2(c_3(c_0(c_2(c_2(c_3(c_1(c_2(c_3(c_0(c_3(c_3(c_2(c_2(c_2(x1)))))))))))))))))) -> 3'(0'(3'(2'(2'(2'(0'(3'(3'(3'(2'(2'(3'(2'(1'(3'(3'(2'(x1)))))))))))))))))) [1]
   2'(c_1(c_2(c_2(c_2(c_2(c_2(c_0(c_1(c_3(c_2(c_0(c_0(c_1(c_2(c_3(c_1(c_2(x1)))))))))))))))))) -> 2'(1'(2'(2'(1'(0'(0'(3'(3'(0'(1'(2'(2'(2'(2'(2'(1'(2'(x1)))))))))))))))))) [1]
   2'(c_2(c_3(c_2(c_2(c_3(c_1(c_0(c_2(c_3(c_1(c_1(c_1(c_0(c_0(c_1(c_0(c_2(x1)))))))))))))))))) -> 0'(2'(1'(1'(2'(2'(0'(3'(3'(0'(1'(1'(2'(2'(1'(0'(3'(2'(x1)))))))))))))))))) [1]
   3'(c_1(c_1(c_1(c_3(c_1(c_3(c_3(c_3(c_2(c_3(c_0(c_0(c_2(c_3(c_1(c_3(c_1(x1)))))))))))))))))) -> 3'(3'(1'(2'(2'(3'(0'(1'(0'(3'(3'(3'(1'(1'(1'(3'(3'(1'(x1)))))))))))))))))) [1]
   0'(c_1(c_2(c_3(c_3(c_3(c_1(c_3(c_3(c_3(c_2(c_3(c_1(c_2(c_0(c_1(c_3(c_1(x1)))))))))))))))))) -> 2'(3'(0'(3'(3'(3'(1'(1'(3'(0'(3'(1'(3'(2'(3'(1'(2'(1'(x1)))))))))))))))))) [1]
   2'(c_3(c_3(c_2(c_1(c_0(c_3(c_0(c_0(c_0(c_3(c_3(c_1(c_3(c_0(c_0(c_0(c_3(x1)))))))))))))))))) -> 2'(1'(0'(3'(0'(3'(0'(3'(3'(3'(0'(0'(0'(0'(2'(1'(3'(3'(x1)))))))))))))))))) [1]
   0'(c_1(c_1(c_1(c_3(c_0(c_1(c_3(c_1(c_2(c_0(c_2(c_1(c_2(c_2(c_0(c_3(c_0(x1)))))))))))))))))) -> 3'(0'(3'(2'(2'(1'(1'(1'(2'(0'(1'(1'(2'(1'(3'(0'(0'(0'(x1)))))))))))))))))) [1]
   2'(c_1(c_0(c_3(c_1(c_3(c_1(c_2(c_2(c_2(c_2(c_1(c_2(c_3(c_1(c_3(c_0(c_2(x1)))))))))))))))))) -> 2'(3'(3'(2'(1'(2'(0'(3'(1'(2'(2'(1'(0'(3'(2'(2'(1'(1'(x1)))))))))))))))))) [1]
   1'(c_1(c_0(c_3(c_1(c_2(c_0(c_0(c_1(c_3(c_2(c_1(c_2(c_0(c_3(c_0(c_2(c_2(x1)))))))))))))))))) -> 1'(1'(2'(2'(3'(2'(1'(0'(0'(3'(2'(3'(0'(0'(0'(1'(1'(2'(x1)))))))))))))))))) [1]
   2'(c_2(c_3(c_1(c_1(c_1(c_3(c_1(c_2(c_0(c_1(c_2(c_2(c_0(c_1(c_2(c_2(c_2(x1)))))))))))))))))) -> 2'(2'(1'(2'(1'(3'(1'(1'(2'(3'(2'(2'(0'(1'(2'(0'(1'(2'(x1)))))))))))))))))) [1]
   3'(c_3(c_2(c_0(c_0(c_1(c_0(c_2(c_3(c_3(c_0(c_3(c_1(c_3(c_3(c_1(c_3(c_3(x1)))))))))))))))))) -> 0'(0'(3'(3'(1'(1'(0'(2'(2'(3'(1'(3'(3'(0'(3'(3'(3'(3'(x1)))))))))))))))))) [1]
   1'(c_2(c_2(c_0(c_3(c_1(c_3(c_0(c_0(c_1(c_3(c_3(c_0(c_3(c_2(c_3(c_1(c_2(x1)))))))))))))))))) -> 1'(0'(2'(3'(3'(3'(3'(0'(2'(0'(3'(1'(0'(3'(1'(2'(1'(2'(x1)))))))))))))))))) [1]
   2'(c_2(c_2(c_2(c_3(c_2(c_0(c_1(c_3(c_1(c_2(c_2(c_2(c_1(c_3(c_2(c_3(c_3(x1)))))))))))))))))) -> 2'(3'(1'(2'(2'(1'(2'(2'(1'(0'(2'(2'(2'(2'(3'(3'(3'(3'(x1)))))))))))))))))) [1]
   3'(c_1(c_3(c_2(c_1(c_3(c_1(c_0(c_3(c_2(c_0(c_2(c_0(c_3(c_0(c_2(c_3(c_3(x1)))))))))))))))))) -> 2'(2'(0'(1'(2'(1'(0'(3'(3'(3'(0'(3'(2'(1'(3'(3'(3'(0'(x1)))))))))))))))))) [1]
   2'(c_0(c_2(c_2(c_3(c_1(c_0(c_3(c_2(c_3(c_0(c_3(c_2(c_0(c_0(c_2(c_0(c_2(x1)))))))))))))))))) -> 2'(0'(0'(2'(3'(0'(3'(3'(0'(3'(2'(0'(1'(2'(2'(2'(0'(2'(x1)))))))))))))))))) [1]
   2'(c_1(c_3(c_0(c_0(c_2(c_2(c_1(c_1(c_3(c_1(c_3(c_1(c_0(c_0(c_2(c_1(c_2(x1)))))))))))))))))) -> 0'(1'(2'(1'(0'(1'(2'(1'(0'(0'(1'(1'(2'(3'(3'(3'(2'(2'(x1)))))))))))))))))) [1]
   3'(c_1(c_3(c_1(c_1(c_1(c_1(c_3(c_2(c_0(c_0(c_2(c_2(c_2(c_1(c_3(c_3(c_1(x1)))))))))))))))))) -> 3'(1'(0'(3'(1'(1'(0'(2'(2'(2'(3'(1'(2'(1'(1'(3'(3'(1'(x1)))))))))))))))))) [1]
   3'(c_0(c_0(c_2(c_2(c_2(c_1(c_3(c_1(c_3(c_3(c_3(c_2(c_0(c_2(c_3(c_3(c_3(x1)))))))))))))))))) -> 2'(1'(2'(1'(2'(3'(3'(0'(2'(3'(0'(3'(3'(3'(2'(0'(3'(3'(x1)))))))))))))))))) [1]
   0'(c_1(c_3(c_2(c_3(c_1(c_1(c_3(c_2(c_2(c_0(c_0(c_1(c_3(c_2(c_3(c_3(c_3(x1)))))))))))))))))) -> 2'(3'(0'(3'(3'(3'(1'(0'(0'(1'(2'(1'(3'(2'(3'(2'(1'(3'(x1)))))))))))))))))) [1]
   0'(c_1(c_0(c_0(c_2(c_2(c_2(c_3(c_2(c_1(c_3(c_2(c_3(c_3(c_1(c_0(c_1(c_0(x1)))))))))))))))))) -> 0'(1'(2'(3'(0'(3'(3'(0'(2'(0'(1'(0'(2'(1'(3'(2'(1'(2'(x1)))))))))))))))))) [1]
   0'(c_3(c_2(c_3(c_1(c_0(c_0(c_1(c_0(c_0(c_1(c_2(c_3(c_2(c_1(c_1(c_0(c_1(x1)))))))))))))))))) -> 3'(0'(0'(3'(1'(1'(0'(0'(2'(1'(2'(2'(0'(1'(1'(0'(3'(1'(x1)))))))))))))))))) [1]
   1'(c_1(c_0(c_0(c_0(c_2(c_0(c_1(c_0(c_1(c_1(c_0(c_3(c_2(c_1(c_0(c_0(c_2(x1)))))))))))))))))) -> 1'(1'(2'(1'(1'(0'(0'(2'(3'(0'(0'(0'(0'(1'(1'(0'(0'(2'(x1)))))))))))))))))) [1]
   0'(c_2(c_0(c_1(c_0(c_0(c_0(c_1(c_0(c_3(c_0(c_2(c_3(c_3(c_3(c_3(c_0(c_3(x1)))))))))))))))))) -> 0'(3'(0'(0'(0'(3'(3'(2'(0'(1'(1'(0'(2'(3'(0'(0'(3'(3'(x1)))))))))))))))))) [1]
   2'(c_0(c_3(c_0(c_0(c_1(c_3(c_1(c_2(c_0(c_2(c_1(c_3(c_0(c_2(c_2(c_0(c_0(x1)))))))))))))))))) -> 0'(0'(3'(0'(3'(2'(1'(2'(1'(2'(2'(1'(2'(0'(0'(0'(3'(0'(x1)))))))))))))))))) [1]
   3'(c_3(c_3(c_1(c_3(c_1(c_3(c_0(c_3(c_3(c_2(c_0(c_1(c_3(c_0(c_1(c_2(c_3(x1)))))))))))))))))) -> 3'(3'(3'(1'(1'(3'(1'(3'(3'(3'(2'(3'(0'(3'(1'(2'(0'(0'(x1)))))))))))))))))) [1]
   3'(c_0(c_0(c_0(c_2(c_0(c_3(c_2(c_0(c_2(c_2(c_2(c_0(c_0(c_1(c_3(c_0(c_2(x1)))))))))))))))))) -> 0'(0'(2'(1'(2'(3'(0'(3'(2'(0'(2'(0'(0'(3'(0'(2'(0'(2'(x1)))))))))))))))))) [1]
   3'(c_2(c_3(c_0(c_2(c_2(c_2(c_2(c_0(c_0(c_0(c_1(c_1(c_1(c_3(c_0(c_2(c_3(x1)))))))))))))))))) -> 3'(0'(2'(3'(2'(0'(3'(1'(2'(0'(2'(1'(0'(3'(2'(1'(2'(0'(x1)))))))))))))))))) [1]
   0'(c_2(c_0(c_1(c_3(c_1(c_0(c_0(c_3(c_2(c_0(c_2(c_2(c_3(c_0(c_1(c_0(c_0(x1)))))))))))))))))) -> 1'(0'(0'(3'(2'(1'(2'(2'(2'(0'(0'(3'(1'(0'(0'(0'(3'(0'(x1)))))))))))))))))) [1]
   2'(c_0(c_2(c_0(c_3(c_0(c_0(c_2(c_2(c_1(c_1(c_0(c_3(c_1(c_0(c_3(c_1(c_1(x1)))))))))))))))))) -> 2'(0'(0'(3'(3'(2'(2'(1'(0'(1'(0'(1'(0'(3'(2'(1'(0'(1'(x1)))))))))))))))))) [1]
   1'(c_3(c_1(c_3(c_2(c_0(c_0(c_0(c_1(c_3(c_1(c_0(c_2(c_2(c_2(c_1(c_0(c_2(x1)))))))))))))))))) -> 1'(0'(1'(1'(2'(2'(0'(3'(3'(0'(1'(0'(1'(2'(2'(3'(0'(2'(x1)))))))))))))))))) [1]
   2'(c_2(c_0(c_0(c_3(c_0(c_1(c_3(c_1(c_0(c_2(c_2(c_2(c_3(c_0(c_1(c_2(c_0(x1)))))))))))))))))) -> 0'(2'(0'(3'(2'(3'(2'(1'(0'(2'(0'(2'(1'(0'(1'(0'(2'(3'(x1)))))))))))))))))) [1]
   3'(c_2(c_0(c_0(c_0(c_2(c_3(c_3(c_1(c_1(c_0(c_1(c_3(c_2(c_3(c_3(c_0(c_0(x1)))))))))))))))))) -> 3'(0'(2'(1'(2'(3'(3'(0'(3'(1'(0'(1'(2'(3'(3'(0'(0'(0'(x1)))))))))))))))))) [1]
   3'(c_0(c_3(c_2(c_2(c_0(c_2(c_0(c_0(c_0(c_1(c_3(c_2(c_3(c_3(c_0(c_3(c_0(x1)))))))))))))))))) -> 3'(0'(2'(0'(1'(2'(2'(0'(3'(0'(2'(0'(3'(0'(3'(3'(3'(0'(x1)))))))))))))))))) [1]
   1'(c_0(c_0(c_0(c_3(c_0(c_2(c_1(c_3(c_3(c_1(c_2(c_2(c_3(c_1(c_3(c_2(c_1(x1)))))))))))))))))) -> 1'(2'(1'(3'(3'(0'(3'(0'(3'(1'(0'(2'(2'(3'(1'(0'(2'(1'(x1)))))))))))))))))) [1]
   0'(c_1(c_2(c_2(c_3(c_1(c_3(c_3(c_1(c_3(c_2(c_2(c_3(c_3(c_0(c_2(c_0(c_2(x1)))))))))))))))))) -> 0'(1'(2'(3'(0'(3'(3'(3'(3'(2'(2'(1'(2'(0'(2'(3'(1'(2'(x1)))))))))))))))))) [1]
   1'(c_3(c_3(c_1(c_3(c_1(c_3(c_0(c_1(c_0(c_2(c_3(c_1(c_1(c_1(c_3(c_0(c_3(x1)))))))))))))))))) -> 1'(1'(1'(2'(1'(3'(0'(0'(3'(3'(3'(0'(1'(1'(3'(3'(1'(3'(x1)))))))))))))))))) [1]
   2'(c_0(c_0(c_0(c_1(c_1(c_3(c_1(c_1(c_1(c_2(c_2(c_2(c_2(c_2(c_0(c_1(c_3(x1)))))))))))))))))) -> 2'(0'(1'(2'(0'(0'(3'(2'(2'(1'(1'(1'(1'(2'(2'(1'(3'(0'(x1)))))))))))))))))) [1]
   3'(c_0(c_2(c_2(c_0(c_1(c_2(c_0(c_0(c_2(c_0(c_2(c_2(c_2(c_3(c_1(c_0(c_2(x1)))))))))))))))))) -> 0'(2'(1'(2'(2'(3'(0'(0'(3'(2'(2'(1'(2'(0'(2'(0'(0'(2'(x1)))))))))))))))))) [1]
   1'(c_2(c_2(c_2(c_2(c_0(c_3(c_3(c_2(c_1(c_3(c_0(c_2(c_1(c_3(c_2(c_0(c_3(x1)))))))))))))))))) -> 1'(2'(2'(1'(2'(1'(2'(0'(2'(3'(2'(2'(0'(0'(3'(3'(3'(3'(x1)))))))))))))))))) [1]
   0'(c_3(c_1(c_1(c_2(c_2(c_0(c_0(c_0(c_1(c_3(c_2(c_3(c_3(c_3(c_3(c_3(c_3(x1)))))))))))))))))) -> 3'(0'(3'(2'(3'(3'(0'(0'(3'(2'(1'(1'(0'(3'(1'(2'(3'(3'(x1)))))))))))))))))) [1]
   0'(c_3(c_1(c_2(c_1(c_0(c_2(c_1(c_3(c_0(c_3(c_2(c_3(c_2(c_3(c_0(c_1(c_2(x1)))))))))))))))))) -> 3'(0'(2'(3'(0'(3'(1'(2'(1'(2'(3'(0'(3'(1'(0'(2'(1'(2'(x1)))))))))))))))))) [1]
   2'(c_0(c_3(c_1(c_0(c_3(c_2(c_1(c_0(c_2(c_3(c_1(c_0(c_2(c_2(c_1(c_1(c_1(x1)))))))))))))))))) -> 2'(1'(2'(2'(2'(0'(1'(1'(0'(0'(3'(3'(1'(3'(0'(2'(1'(1'(x1)))))))))))))))))) [1]
   2'(c_1(c_2(c_1(c_3(c_0(c_2(c_2(c_3(c_2(c_3(c_1(c_1(c_1(c_3(c_3(c_0(c_2(x1)))))))))))))))))) -> 2'(1'(2'(1'(3'(2'(1'(2'(3'(2'(3'(3'(0'(0'(3'(1'(2'(1'(x1)))))))))))))))))) [1]
   3'(c_3(c_2(c_1(c_3(c_2(c_0(c_2(c_0(c_0(c_3(c_1(c_3(c_0(c_2(c_0(c_2(c_2(x1)))))))))))))))))) -> 2'(0'(1'(3'(2'(2'(2'(1'(2'(3'(3'(0'(3'(0'(0'(0'(3'(2'(x1)))))))))))))))))) [1]
   3'(c_0(c_2(c_2(c_3(c_2(c_2(c_3(c_2(c_2(c_3(c_3(c_2(c_0(c_1(c_3(c_2(c_3(x1)))))))))))))))))) -> 0'(3'(3'(2'(1'(3'(3'(2'(2'(3'(2'(2'(2'(0'(3'(2'(2'(3'(x1)))))))))))))))))) [1]
   2'(c_2(c_1(c_3(c_3(c_0(c_0(c_2(c_1(c_3(c_0(c_1(c_2(c_2(c_2(c_2(c_3(c_3(x1)))))))))))))))))) -> 2'(0'(2'(2'(0'(2'(1'(0'(3'(2'(2'(1'(1'(3'(2'(3'(3'(3'(x1)))))))))))))))))) [1]
   3'(c_0(c_1(c_2(c_1(c_0(c_2(c_1(c_1(c_3(c_0(c_1(c_2(c_3(c_1(c_1(c_1(c_1(x1)))))))))))))))))) -> 3'(3'(1'(1'(1'(0'(1'(2'(1'(1'(1'(2'(2'(3'(0'(1'(0'(1'(x1)))))))))))))))))) [1]
   3'(c_3(c_2(c_1(c_3(c_0(c_0(c_1(c_3(c_2(c_0(c_0(c_2(c_3(c_3(c_0(c_0(c_2(x1)))))))))))))))))) -> 3'(0'(0'(3'(0'(3'(0'(1'(2'(0'(3'(1'(3'(0'(3'(2'(2'(2'(x1)))))))))))))))))) [1]
   0'(c_1(c_2(c_3(c_0(c_2(c_1(c_1(c_3(c_3(c_3(c_2(c_3(c_1(c_3(c_1(c_3(c_1(x1)))))))))))))))))) -> 2'(1'(3'(2'(3'(1'(1'(3'(3'(0'(3'(3'(0'(3'(2'(1'(1'(1'(x1)))))))))))))))))) [1]
   2'(c_1(c_2(c_3(c_1(c_3(c_2(c_0(c_2(c_2(c_3(c_3(c_3(c_2(c_3(c_1(c_3(c_3(x1)))))))))))))))))) -> 2'(3'(3'(2'(2'(1'(3'(2'(3'(2'(1'(0'(3'(3'(1'(2'(3'(3'(x1)))))))))))))))))) [1]
   1'(c_3(c_0(c_2(c_0(c_3(c_2(c_2(c_1(c_3(c_2(c_3(c_2(c_2(c_2(c_1(c_3(c_2(x1)))))))))))))))))) -> 1'(3'(2'(1'(2'(2'(3'(3'(3'(2'(1'(3'(2'(0'(0'(2'(2'(2'(x1)))))))))))))))))) [1]
   3'(c_3(c_0(c_2(c_0(c_2(c_0(c_1(c_2(c_0(c_2(c_3(c_0(c_2(c_2(c_0(c_3(c_3(x1)))))))))))))))))) -> 3'(2'(0'(3'(2'(0'(0'(0'(3'(0'(3'(2'(2'(2'(1'(2'(0'(3'(x1)))))))))))))))))) [1]
   1'(c_3(c_2(c_2(c_0(c_3(c_1(c_1(c_3(c_1(c_3(c_0(c_2(c_1(c_2(c_2(c_0(c_3(x1)))))))))))))))))) -> 1'(1'(2'(1'(0'(1'(2'(3'(3'(0'(3'(0'(3'(2'(2'(1'(2'(3'(x1)))))))))))))))))) [1]
   0'(c_0(c_2(c_0(c_1(c_1(c_3(c_0(c_2(c_3(c_2(c_2(c_0(c_2(c_3(c_3(c_1(c_2(x1)))))))))))))))))) -> 0'(0'(3'(2'(1'(0'(0'(3'(1'(3'(0'(3'(2'(2'(1'(2'(2'(2'(x1)))))))))))))))))) [1]
   0'(c_3(c_3(c_2(c_3(c_1(c_3(c_2(c_0(c_0(c_2(c_1(c_3(c_1(c_3(c_2(c_3(c_3(x1)))))))))))))))))) -> 3'(2'(2'(3'(2'(0'(1'(2'(1'(3'(1'(3'(0'(3'(0'(3'(3'(3'(x1)))))))))))))))))) [1]
   0'(c_0(c_1(c_3(c_1(c_0(c_0(c_1(c_3(c_3(c_0(c_0(c_1(c_2(c_2(c_1(c_1(c_1(x1)))))))))))))))))) -> 3'(3'(0'(2'(0'(0'(0'(0'(1'(0'(2'(1'(3'(1'(1'(1'(1'(1'(x1)))))))))))))))))) [1]
   3'(c_2(c_2(c_1(c_2(c_2(c_3(c_1(c_1(c_2(c_0(c_1(c_3(c_1(c_2(c_2(c_1(c_1(x1)))))))))))))))))) -> 3'(1'(1'(1'(2'(2'(1'(3'(2'(3'(2'(2'(1'(1'(2'(0'(2'(1'(x1)))))))))))))))))) [1]
   2'(c_0(c_1(c_0(c_1(c_2(c_2(c_2(c_2(c_3(c_3(c_1(c_1(c_1(c_1(c_2(c_1(c_2(x1)))))))))))))))))) -> 0'(2'(2'(1'(1'(1'(2'(1'(0'(3'(3'(2'(2'(1'(1'(2'(1'(2'(x1)))))))))))))))))) [1]
   3'(c_2(c_2(c_2(c_3(c_2(c_3(c_0(c_1(c_3(c_2(c_1(c_3(c_2(c_3(c_0(c_2(c_1(x1)))))))))))))))))) -> 0'(0'(3'(3'(2'(1'(2'(1'(3'(3'(3'(3'(2'(2'(2'(2'(2'(1'(x1)))))))))))))))))) [1]
   3'(c_1(c_3(c_2(c_1(c_1(c_3(c_1(c_2(c_2(c_1(c_3(c_2(c_3(c_1(c_0(c_3(c_1(x1)))))))))))))))))) -> 3'(1'(3'(3'(1'(2'(0'(1'(1'(2'(2'(1'(3'(3'(2'(3'(1'(1'(x1)))))))))))))))))) [1]
   1'(c_0(c_2(c_1(c_2(c_3(c_3(c_0(c_1(c_0(c_2(c_3(c_0(c_1(c_1(c_3(c_3(c_1(x1)))))))))))))))))) -> 1'(2'(1'(1'(1'(3'(0'(3'(0'(3'(1'(0'(3'(2'(2'(0'(3'(1'(x1)))))))))))))))))) [1]
   3'(c_2(c_1(c_3(c_1(c_2(c_2(c_2(c_3(c_3(c_0(c_2(c_1(c_3(c_0(c_2(c_0(c_2(x1)))))))))))))))))) -> 3'(3'(3'(2'(3'(2'(2'(0'(2'(2'(1'(0'(3'(2'(1'(2'(1'(0'(x1)))))))))))))))))) [1]
   3'(c_1(c_0(c_0(c_3(c_0(c_0(c_0(c_0(c_1(c_2(c_0(c_2(c_0(c_2(c_0(c_0(c_1(x1)))))))))))))))))) -> 3'(0'(0'(0'(0'(0'(2'(0'(0'(0'(0'(3'(0'(2'(1'(1'(2'(1'(x1)))))))))))))))))) [1]
   2'(c_3(c_0(c_1(c_3(c_1(c_3(c_3(c_0(c_3(c_0(c_2(c_0(c_3(c_1(c_3(c_2(c_3(x1)))))))))))))))))) -> 0'(2'(0'(3'(3'(3'(2'(1'(3'(0'(3'(3'(3'(3'(1'(1'(2'(0'(x1)))))))))))))))))) [1]
   3'(c_3(c_0(c_3(c_1(c_0(c_0(c_2(c_2(c_2(c_0(c_0(c_0(c_2(c_2(c_1(c_3(c_2(x1)))))))))))))))))) -> 0'(3'(2'(0'(3'(3'(1'(2'(1'(2'(2'(0'(3'(0'(0'(0'(2'(2'(x1)))))))))))))))))) [1]
   1'(c_0(c_2(c_0(c_0(c_0(c_1(c_2(c_3(c_0(c_1(c_2(c_2(c_2(c_1(c_2(c_2(c_0(x1)))))))))))))))))) -> 1'(2'(2'(0'(0'(1'(1'(0'(0'(2'(2'(2'(2'(1'(2'(0'(0'(3'(x1)))))))))))))))))) [1]
   encArg(cons_0(x_1)) -> 0'(encArg(x_1)) [0]
   encArg(cons_1(x_1)) -> 1'(encArg(x_1)) [0]
   encArg(cons_2(x_1)) -> 2'(encArg(x_1)) [0]
   encArg(cons_3(x_1)) -> 3'(encArg(x_1)) [0]
   encode_0(x_1) -> 0'(encArg(x_1)) [0]
   encode_1(x_1) -> 1'(encArg(x_1)) [0]
   encode_3(x_1) -> 3'(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_1(v0) -> const [0]
   encode_3(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:
2' :: c_3:c_2:c_1:c_0:const -> c_3:c_2:c_1:c_0:const
c_2 :: c_3:c_2:c_1:c_0:const -> c_3:c_2:c_1:c_0:const
c_3 :: c_3:c_2:c_1:c_0:const -> c_3:c_2:c_1:c_0:const
c_0 :: c_3:c_2:c_1:c_0:const -> c_3:c_2:c_1:c_0:const
c_1 :: c_3:c_2:c_1:c_0:const -> c_3:c_2:c_1:c_0:const
1' :: c_3:c_2:c_1:c_0:const -> c_3:c_2:c_1:c_0:const
3' :: c_3:c_2:c_1:c_0:const -> c_3:c_2:c_1:c_0:const
0' :: c_3:c_2:c_1:c_0:const -> c_3:c_2:c_1:c_0:const
encArg :: cons_0:cons_1:cons_2:cons_3 -> c_3:c_2:c_1:c_0: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_3:c_2:c_1:c_0:const
encode_1 :: cons_0:cons_1:cons_2:cons_3 -> c_3:c_2:c_1:c_0:const
encode_3 :: cons_0:cons_1:cons_2:cons_3 -> c_3:c_2:c_1:c_0:const
encode_2 :: cons_0:cons_1:cons_2:cons_3 -> c_3:c_2:c_1:c_0:const
const :: c_3:c_2:c_1:c_0: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:

   2'(c_2(c_2(c_3(c_0(c_1(c_3(c_2(c_1(c_3(c_3(c_2(c_1(c_2(c_2(c_1(c_2(c_3(x1)))))))))))))))))) -> 2'(2'(2'(1'(1'(2'(3'(2'(3'(2'(2'(0'(3'(1'(2'(1'(3'(3'(x1)))))))))))))))))) [1]
   3'(c_0(c_0(c_3(c_1(c_3(c_0(c_2(c_0(c_2(c_0(c_0(c_1(c_0(c_3(c_2(c_3(c_2(x1)))))))))))))))))) -> 0'(0'(3'(2'(3'(3'(0'(0'(0'(3'(2'(0'(1'(2'(3'(1'(0'(2'(x1)))))))))))))))))) [1]
   0'(c_0(c_2(c_0(c_3(c_3(c_2(c_3(c_1(c_3(c_1(c_0(c_2(c_1(c_3(c_0(c_2(c_0(x1)))))))))))))))))) -> 0'(0'(1'(1'(3'(0'(3'(3'(1'(2'(0'(2'(3'(0'(2'(2'(0'(3'(x1)))))))))))))))))) [1]
   3'(c_3(c_0(c_2(c_3(c_0(c_1(c_3(c_3(c_3(c_1(c_2(c_1(c_3(c_2(c_2(c_0(c_3(x1)))))))))))))))))) -> 2'(3'(1'(1'(0'(1'(2'(0'(3'(3'(3'(2'(3'(2'(3'(3'(0'(3'(x1)))))))))))))))))) [1]
   1'(c_2(c_3(c_0(c_1(c_0(c_3(c_1(c_2(c_3(c_1(c_1(c_1(c_1(c_3(c_2(c_3(c_0(x1)))))))))))))))))) -> 1'(1'(2'(1'(1'(3'(0'(3'(3'(2'(1'(2'(0'(3'(1'(1'(3'(0'(x1)))))))))))))))))) [1]
   2'(c_2(c_1(c_3(c_1(c_3(c_0(c_0(c_2(c_1(c_2(c_2(c_2(c_1(c_1(c_1(c_0(c_1(c_2(c_3(c_0(c_1(c_0(c_3(c_1(c_2(c_3(c_1(c_1(c_1(c_1(c_3(c_2(c_3(c_0(x1116))))))))))))))))))))))))))))))))))) -> 0'(2'(2'(3'(3'(1'(1'(2'(0'(2'(1'(1'(2'(1'(0'(1'(2'(1'(1'(2'(1'(1'(3'(0'(3'(3'(2'(1'(2'(0'(3'(1'(1'(3'(0'(x1116))))))))))))))))))))))))))))))))))) [2]
   2'(c_2(c_1(c_3(c_1(c_3(c_0(c_0(c_2(c_1(c_2(c_2(c_2(c_1(c_1(c_1(c_0(c_1(c_3(c_1(c_3(c_1(c_1(c_1(c_2(c_1(c_3(c_0(c_1(c_2(c_1(c_3(c_1(c_1(c_0(x1117))))))))))))))))))))))))))))))))))) -> 0'(2'(2'(3'(3'(1'(1'(2'(0'(2'(1'(1'(2'(1'(0'(1'(2'(1'(0'(1'(1'(1'(3'(3'(2'(3'(0'(1'(2'(1'(1'(1'(1'(1'(3'(x1117))))))))))))))))))))))))))))))))))) [2]
   2'(c_2(c_1(c_3(c_1(c_3(c_0(c_0(c_2(c_1(c_2(c_2(c_2(c_1(c_1(c_1(c_0(c_1(c_1(c_0(c_3(c_1(c_2(c_0(c_0(c_1(c_3(c_2(c_1(c_2(c_0(c_3(c_0(c_2(c_2(x1118))))))))))))))))))))))))))))))))))) -> 0'(2'(2'(3'(3'(1'(1'(2'(0'(2'(1'(1'(2'(1'(0'(1'(2'(1'(1'(2'(2'(3'(2'(1'(0'(0'(3'(2'(3'(0'(0'(0'(1'(1'(2'(x1118))))))))))))))))))))))))))))))))))) [2]
   2'(c_2(c_1(c_3(c_1(c_3(c_0(c_0(c_2(c_1(c_2(c_2(c_2(c_1(c_1(c_1(c_0(c_1(c_2(c_2(c_0(c_3(c_1(c_3(c_0(c_0(c_1(c_3(c_3(c_0(c_3(c_2(c_3(c_1(c_2(x1119))))))))))))))))))))))))))))))))))) -> 0'(2'(2'(3'(3'(1'(1'(2'(0'(2'(1'(1'(2'(1'(0'(1'(2'(1'(0'(2'(3'(3'(3'(3'(0'(2'(0'(3'(1'(0'(3'(1'(2'(1'(2'(x1119))))))))))))))))))))))))))))))))))) [2]
   2'(c_2(c_1(c_3(c_1(c_3(c_0(c_0(c_2(c_1(c_2(c_2(c_2(c_1(c_1(c_1(c_0(c_1(c_1(c_0(c_0(c_0(c_2(c_0(c_1(c_0(c_1(c_1(c_0(c_3(c_2(c_1(c_0(c_0(c_2(x1120))))))))))))))))))))))))))))))))))) -> 0'(2'(2'(3'(3'(1'(1'(2'(0'(2'(1'(1'(2'(1'(0'(1'(2'(1'(1'(2'(1'(1'(0'(0'(2'(3'(0'(0'(0'(0'(1'(1'(0'(0'(2'(x1120))))))))))))))))))))))))))))))))))) [2]
   2'(c_2(c_1(c_3(c_1(c_3(c_0(c_0(c_2(c_1(c_2(c_2(c_2(c_1(c_1(c_1(c_0(c_1(c_3(c_1(c_3(c_2(c_0(c_0(c_0(c_1(c_3(c_1(c_0(c_2(c_2(c_2(c_1(c_0(c_2(x1121))))))))))))))))))))))))))))))))))) -> 0'(2'(2'(3'(3'(1'(1'(2'(0'(2'(1'(1'(2'(1'(0'(1'(2'(1'(0'(1'(1'(2'(2'(0'(3'(3'(0'(1'(0'(1'(2'(2'(3'(0'(2'(x1121))))))))))))))))))))))))))))))))))) [2]
   2'(c_2(c_1(c_3(c_1(c_3(c_0(c_0(c_2(c_1(c_2(c_2(c_2(c_1(c_1(c_1(c_0(c_1(c_0(c_0(c_0(c_3(c_0(c_2(c_1(c_3(c_3(c_1(c_2(c_2(c_3(c_1(c_3(c_2(c_1(x1122))))))))))))))))))))))))))))))))))) -> 0'(2'(2'(3'(3'(1'(1'(2'(0'(2'(1'(1'(2'(1'(0'(1'(2'(1'(2'(1'(3'(3'(0'(3'(0'(3'(1'(0'(2'(2'(3'(1'(0'(2'(1'(x1122))))))))))))))))))))))))))))))))))) [2]
   2'(c_2(c_1(c_3(c_1(c_3(c_0(c_0(c_2(c_1(c_2(c_2(c_2(c_1(c_1(c_1(c_0(c_1(c_3(c_3(c_1(c_3(c_1(c_3(c_0(c_1(c_0(c_2(c_3(c_1(c_1(c_1(c_3(c_0(c_3(x1123))))))))))))))))))))))))))))))))))) -> 0'(2'(2'(3'(3'(1'(1'(2'(0'(2'(1'(1'(2'(1'(0'(1'(2'(1'(1'(1'(2'(1'(3'(0'(0'(3'(3'(3'(0'(1'(1'(3'(3'(1'(3'(x1123))))))))))))))))))))))))))))))))))) [2]
   2'(c_2(c_1(c_3(c_1(c_3(c_0(c_0(c_2(c_1(c_2(c_2(c_2(c_1(c_1(c_1(c_0(c_1(c_2(c_2(c_2(c_2(c_0(c_3(c_3(c_2(c_1(c_3(c_0(c_2(c_1(c_3(c_2(c_0(c_3(x1124))))))))))))))))))))))))))))))))))) -> 0'(2'(2'(3'(3'(1'(1'(2'(0'(2'(1'(1'(2'(1'(0'(1'(2'(1'(2'(2'(1'(2'(1'(2'(0'(2'(3'(2'(2'(0'(0'(3'(3'(3'(3'(x1124))))))))))))))))))))))))))))))))))) [2]
   2'(c_2(c_1(c_3(c_1(c_3(c_0(c_0(c_2(c_1(c_2(c_2(c_2(c_1(c_1(c_1(c_0(c_1(c_3(c_0(c_2(c_0(c_3(c_2(c_2(c_1(c_3(c_2(c_3(c_2(c_2(c_2(c_1(c_3(c_2(x1125))))))))))))))))))))))))))))))))))) -> 0'(2'(2'(3'(3'(1'(1'(2'(0'(2'(1'(1'(2'(1'(0'(1'(2'(1'(3'(2'(1'(2'(2'(3'(3'(3'(2'(1'(3'(2'(0'(0'(2'(2'(2'(x1125))))))))))))))))))))))))))))))))))) [2]
   2'(c_2(c_1(c_3(c_1(c_3(c_0(c_0(c_2(c_1(c_2(c_2(c_2(c_1(c_1(c_1(c_0(c_1(c_3(c_2(c_2(c_0(c_3(c_1(c_1(c_3(c_1(c_3(c_0(c_2(c_1(c_2(c_2(c_0(c_3(x1126))))))))))))))))))))))))))))))))))) -> 0'(2'(2'(3'(3'(1'(1'(2'(0'(2'(1'(1'(2'(1'(0'(1'(2'(1'(1'(2'(1'(0'(1'(2'(3'(3'(0'(3'(0'(3'(2'(2'(1'(2'(3'(x1126))))))))))))))))))))))))))))))))))) [2]
   2'(c_2(c_1(c_3(c_1(c_3(c_0(c_0(c_2(c_1(c_2(c_2(c_2(c_1(c_1(c_1(c_0(c_1(c_0(c_2(c_1(c_2(c_3(c_3(c_0(c_1(c_0(c_2(c_3(c_0(c_1(c_1(c_3(c_3(c_1(x1127))))))))))))))))))))))))))))))))))) -> 0'(2'(2'(3'(3'(1'(1'(2'(0'(2'(1'(1'(2'(1'(0'(1'(2'(1'(2'(1'(1'(1'(3'(0'(3'(0'(3'(1'(0'(3'(2'(2'(0'(3'(1'(x1127))))))))))))))))))))))))))))))))))) [2]
   2'(c_2(c_1(c_3(c_1(c_3(c_0(c_0(c_2(c_1(c_2(c_2(c_2(c_1(c_1(c_1(c_0(c_1(c_0(c_2(c_0(c_0(c_0(c_1(c_2(c_3(c_0(c_1(c_2(c_2(c_2(c_1(c_2(c_2(c_0(x1128))))))))))))))))))))))))))))))))))) -> 0'(2'(2'(3'(3'(1'(1'(2'(0'(2'(1'(1'(2'(1'(0'(1'(2'(1'(2'(2'(0'(0'(1'(1'(0'(0'(2'(2'(2'(2'(1'(2'(0'(0'(3'(x1128))))))))))))))))))))))))))))))))))) [2]
   2'(c_2(c_1(c_3(c_1(c_3(c_0(c_0(c_2(c_1(c_2(c_2(c_2(c_1(c_1(c_1(c_0(c_1(x1)))))))))))))))))) -> 0'(2'(2'(3'(3'(1'(1'(2'(0'(2'(1'(1'(2'(1'(0'(1'(2'(c_1(x1)))))))))))))))))) [1]
   2'(c_2(c_1(c_3(c_1(c_3(c_0(c_0(c_2(c_1(c_2(c_2(c_2(c_1(c_1(c_1(c_0(c_1(x1)))))))))))))))))) -> 0'(2'(2'(3'(3'(1'(1'(2'(0'(2'(1'(1'(2'(1'(0'(1'(2'(const))))))))))))))))) [1]
   1'(c_3(c_1(c_3(c_1(c_1(c_1(c_2(c_1(c_3(c_0(c_1(c_2(c_1(c_3(c_1(c_1(c_0(x1)))))))))))))))))) -> 1'(0'(1'(1'(1'(3'(3'(2'(3'(0'(1'(2'(1'(1'(1'(1'(1'(3'(x1)))))))))))))))))) [1]
   0'(c_0(c_2(c_0(c_3(c_0(c_2(c_2(c_3(c_0(c_2(c_0(c_0(c_2(c_3(c_0(c_0(c_2(x1)))))))))))))))))) -> 0'(0'(3'(2'(2'(0'(2'(0'(0'(0'(2'(2'(0'(3'(0'(0'(3'(2'(x1)))))))))))))))))) [1]
   0'(c_0(c_0(c_1(c_3(c_3(c_2(c_2(c_3(c_0(c_0(c_1(c_3(c_2(c_2(c_3(c_3(c_2(x1)))))))))))))))))) -> 3'(0'(2'(3'(0'(3'(0'(3'(0'(0'(1'(2'(3'(3'(1'(2'(2'(2'(x1)))))))))))))))))) [1]
   0'(c_0(c_0(c_2(c_2(c_3(c_0(c_0(c_1(c_0(c_0(c_0(c_1(c_0(c_3(c_1(c_2(c_2(x1)))))))))))))))))) -> 0'(0'(0'(3'(2'(0'(1'(3'(0'(2'(1'(0'(0'(1'(2'(0'(0'(2'(x1)))))))))))))))))) [1]
   0'(c_1(c_0(c_2(c_2(c_1(c_2(c_1(c_3(c_1(c_1(c_2(c_0(c_1(c_2(c_0(c_1(c_0(x1)))))))))))))))))) -> 2'(0'(0'(3'(1'(2'(2'(1'(2'(0'(1'(0'(1'(2'(1'(1'(1'(0'(x1)))))))))))))))))) [1]
   0'(c_2(c_1(c_0(c_2(c_0(c_3(c_0(c_1(c_0(c_2(c_0(c_2(c_0(c_1(c_2(c_0(c_3(x1)))))))))))))))))) -> 0'(2'(1'(2'(0'(2'(1'(2'(0'(3'(0'(0'(3'(2'(1'(0'(0'(0'(x1)))))))))))))))))) [1]
   2'(c_0(c_0(c_1(c_3(c_1(c_3(c_2(c_1(c_0(c_0(c_2(c_2(c_2(c_0(c_2(c_0(c_3(x1)))))))))))))))))) -> 0'(2'(2'(2'(0'(2'(1'(0'(0'(3'(0'(0'(1'(2'(2'(1'(3'(3'(x1)))))))))))))))))) [1]
   2'(c_3(c_2(c_3(c_1(c_2(c_0(c_1(c_3(c_0(c_1(c_3(c_2(c_1(c_0(c_2(c_3(c_3(x1)))))))))))))))))) -> 0'(3'(1'(0'(2'(2'(1'(2'(2'(1'(3'(3'(3'(1'(0'(2'(3'(3'(x1)))))))))))))))))) [1]
   3'(c_3(c_3(c_2(c_3(c_0(c_2(c_2(c_3(c_1(c_2(c_3(c_0(c_3(c_3(c_2(c_2(c_2(x1)))))))))))))))))) -> 3'(0'(3'(2'(2'(2'(0'(3'(3'(3'(2'(2'(3'(2'(1'(3'(3'(2'(x1)))))))))))))))))) [1]
   2'(c_1(c_2(c_2(c_2(c_2(c_2(c_0(c_1(c_3(c_2(c_0(c_0(c_1(c_2(c_3(c_1(c_2(x1)))))))))))))))))) -> 2'(1'(2'(2'(1'(0'(0'(3'(3'(0'(1'(2'(2'(2'(2'(2'(1'(2'(x1)))))))))))))))))) [1]
   2'(c_2(c_3(c_2(c_2(c_3(c_1(c_0(c_2(c_3(c_1(c_1(c_1(c_0(c_0(c_1(c_0(c_2(x1)))))))))))))))))) -> 0'(2'(1'(1'(2'(2'(0'(3'(3'(0'(1'(1'(2'(2'(1'(0'(3'(2'(x1)))))))))))))))))) [1]
   3'(c_1(c_1(c_1(c_3(c_1(c_3(c_3(c_3(c_2(c_3(c_0(c_0(c_2(c_3(c_1(c_3(c_1(c_2(c_3(c_0(c_1(c_0(c_3(c_1(c_2(c_3(c_1(c_1(c_1(c_1(c_3(c_2(c_3(c_0(x1376))))))))))))))))))))))))))))))))))) -> 3'(3'(1'(2'(2'(3'(0'(1'(0'(3'(3'(3'(1'(1'(1'(3'(3'(1'(1'(2'(1'(1'(3'(0'(3'(3'(2'(1'(2'(0'(3'(1'(1'(3'(0'(x1376))))))))))))))))))))))))))))))))))) [2]
   3'(c_1(c_1(c_1(c_3(c_1(c_3(c_3(c_3(c_2(c_3(c_0(c_0(c_2(c_3(c_1(c_3(c_1(c_3(c_1(c_3(c_1(c_1(c_1(c_2(c_1(c_3(c_0(c_1(c_2(c_1(c_3(c_1(c_1(c_0(x1377))))))))))))))))))))))))))))))))))) -> 3'(3'(1'(2'(2'(3'(0'(1'(0'(3'(3'(3'(1'(1'(1'(3'(3'(1'(0'(1'(1'(1'(3'(3'(2'(3'(0'(1'(2'(1'(1'(1'(1'(1'(3'(x1377))))))))))))))))))))))))))))))))))) [2]
   3'(c_1(c_1(c_1(c_3(c_1(c_3(c_3(c_3(c_2(c_3(c_0(c_0(c_2(c_3(c_1(c_3(c_1(c_1(c_0(c_3(c_1(c_2(c_0(c_0(c_1(c_3(c_2(c_1(c_2(c_0(c_3(c_0(c_2(c_2(x1378))))))))))))))))))))))))))))))))))) -> 3'(3'(1'(2'(2'(3'(0'(1'(0'(3'(3'(3'(1'(1'(1'(3'(3'(1'(1'(2'(2'(3'(2'(1'(0'(0'(3'(2'(3'(0'(0'(0'(1'(1'(2'(x1378))))))))))))))))))))))))))))))))))) [2]
   3'(c_1(c_1(c_1(c_3(c_1(c_3(c_3(c_3(c_2(c_3(c_0(c_0(c_2(c_3(c_1(c_3(c_1(c_2(c_2(c_0(c_3(c_1(c_3(c_0(c_0(c_1(c_3(c_3(c_0(c_3(c_2(c_3(c_1(c_2(x1379))))))))))))))))))))))))))))))))))) -> 3'(3'(1'(2'(2'(3'(0'(1'(0'(3'(3'(3'(1'(1'(1'(3'(3'(1'(0'(2'(3'(3'(3'(3'(0'(2'(0'(3'(1'(0'(3'(1'(2'(1'(2'(x1379))))))))))))))))))))))))))))))))))) [2]
   3'(c_1(c_1(c_1(c_3(c_1(c_3(c_3(c_3(c_2(c_3(c_0(c_0(c_2(c_3(c_1(c_3(c_1(c_1(c_0(c_0(c_0(c_2(c_0(c_1(c_0(c_1(c_1(c_0(c_3(c_2(c_1(c_0(c_0(c_2(x1380))))))))))))))))))))))))))))))))))) -> 3'(3'(1'(2'(2'(3'(0'(1'(0'(3'(3'(3'(1'(1'(1'(3'(3'(1'(1'(2'(1'(1'(0'(0'(2'(3'(0'(0'(0'(0'(1'(1'(0'(0'(2'(x1380))))))))))))))))))))))))))))))))))) [2]
   3'(c_1(c_1(c_1(c_3(c_1(c_3(c_3(c_3(c_2(c_3(c_0(c_0(c_2(c_3(c_1(c_3(c_1(c_3(c_1(c_3(c_2(c_0(c_0(c_0(c_1(c_3(c_1(c_0(c_2(c_2(c_2(c_1(c_0(c_2(x1381))))))))))))))))))))))))))))))))))) -> 3'(3'(1'(2'(2'(3'(0'(1'(0'(3'(3'(3'(1'(1'(1'(3'(3'(1'(0'(1'(1'(2'(2'(0'(3'(3'(0'(1'(0'(1'(2'(2'(3'(0'(2'(x1381))))))))))))))))))))))))))))))))))) [2]
   3'(c_1(c_1(c_1(c_3(c_1(c_3(c_3(c_3(c_2(c_3(c_0(c_0(c_2(c_3(c_1(c_3(c_1(c_0(c_0(c_0(c_3(c_0(c_2(c_1(c_3(c_3(c_1(c_2(c_2(c_3(c_1(c_3(c_2(c_1(x1382))))))))))))))))))))))))))))))))))) -> 3'(3'(1'(2'(2'(3'(0'(1'(0'(3'(3'(3'(1'(1'(1'(3'(3'(1'(2'(1'(3'(3'(0'(3'(0'(3'(1'(0'(2'(2'(3'(1'(0'(2'(1'(x1382))))))))))))))))))))))))))))))))))) [2]
   3'(c_1(c_1(c_1(c_3(c_1(c_3(c_3(c_3(c_2(c_3(c_0(c_0(c_2(c_3(c_1(c_3(c_1(c_3(c_3(c_1(c_3(c_1(c_3(c_0(c_1(c_0(c_2(c_3(c_1(c_1(c_1(c_3(c_0(c_3(x1383))))))))))))))))))))))))))))))))))) -> 3'(3'(1'(2'(2'(3'(0'(1'(0'(3'(3'(3'(1'(1'(1'(3'(3'(1'(1'(1'(2'(1'(3'(0'(0'(3'(3'(3'(0'(1'(1'(3'(3'(1'(3'(x1383))))))))))))))))))))))))))))))))))) [2]
   3'(c_1(c_1(c_1(c_3(c_1(c_3(c_3(c_3(c_2(c_3(c_0(c_0(c_2(c_3(c_1(c_3(c_1(c_2(c_2(c_2(c_2(c_0(c_3(c_3(c_2(c_1(c_3(c_0(c_2(c_1(c_3(c_2(c_0(c_3(x1384))))))))))))))))))))))))))))))))))) -> 3'(3'(1'(2'(2'(3'(0'(1'(0'(3'(3'(3'(1'(1'(1'(3'(3'(1'(2'(2'(1'(2'(1'(2'(0'(2'(3'(2'(2'(0'(0'(3'(3'(3'(3'(x1384))))))))))))))))))))))))))))))))))) [2]
   3'(c_1(c_1(c_1(c_3(c_1(c_3(c_3(c_3(c_2(c_3(c_0(c_0(c_2(c_3(c_1(c_3(c_1(c_3(c_0(c_2(c_0(c_3(c_2(c_2(c_1(c_3(c_2(c_3(c_2(c_2(c_2(c_1(c_3(c_2(x1385))))))))))))))))))))))))))))))))))) -> 3'(3'(1'(2'(2'(3'(0'(1'(0'(3'(3'(3'(1'(1'(1'(3'(3'(1'(3'(2'(1'(2'(2'(3'(3'(3'(2'(1'(3'(2'(0'(0'(2'(2'(2'(x1385))))))))))))))))))))))))))))))))))) [2]
   3'(c_1(c_1(c_1(c_3(c_1(c_3(c_3(c_3(c_2(c_3(c_0(c_0(c_2(c_3(c_1(c_3(c_1(c_3(c_2(c_2(c_0(c_3(c_1(c_1(c_3(c_1(c_3(c_0(c_2(c_1(c_2(c_2(c_0(c_3(x1386))))))))))))))))))))))))))))))))))) -> 3'(3'(1'(2'(2'(3'(0'(1'(0'(3'(3'(3'(1'(1'(1'(3'(3'(1'(1'(2'(1'(0'(1'(2'(3'(3'(0'(3'(0'(3'(2'(2'(1'(2'(3'(x1386))))))))))))))))))))))))))))))))))) [2]
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   3'(c_2(c_2(c_2(c_3(c_2(c_3(c_0(c_1(c_3(c_2(c_1(c_3(c_2(c_3(c_0(c_2(c_1(x1)))))))))))))))))) -> 0'(0'(3'(3'(2'(1'(2'(1'(3'(3'(3'(3'(2'(2'(2'(2'(2'(const))))))))))))))))) [1]
   3'(c_1(c_3(c_2(c_1(c_1(c_3(c_1(c_2(c_2(c_1(c_3(c_2(c_3(c_1(c_0(c_3(c_1(c_2(c_3(c_0(c_1(c_0(c_3(c_1(c_2(c_3(c_1(c_1(c_1(c_1(c_3(c_2(c_3(c_0(x11512))))))))))))))))))))))))))))))))))) -> 3'(1'(3'(3'(1'(2'(0'(1'(1'(2'(2'(1'(3'(3'(2'(3'(1'(1'(1'(2'(1'(1'(3'(0'(3'(3'(2'(1'(2'(0'(3'(1'(1'(3'(0'(x11512))))))))))))))))))))))))))))))))))) [2]
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   3'(c_1(c_3(c_2(c_1(c_1(c_3(c_1(c_2(c_2(c_1(c_3(c_2(c_3(c_1(c_0(c_3(c_1(x1)))))))))))))))))) -> 3'(1'(3'(3'(1'(2'(0'(1'(1'(2'(2'(1'(3'(3'(2'(3'(1'(const))))))))))))))))) [1]
   1'(c_0(c_2(c_1(c_2(c_3(c_3(c_0(c_1(c_0(c_2(c_3(c_0(c_1(c_1(c_3(c_3(c_1(c_2(c_3(c_0(c_1(c_0(c_3(c_1(c_2(c_3(c_1(c_1(c_1(c_1(c_3(c_2(c_3(c_0(x11525))))))))))))))))))))))))))))))))))) -> 1'(2'(1'(1'(1'(3'(0'(3'(0'(3'(1'(0'(3'(2'(2'(0'(3'(1'(1'(2'(1'(1'(3'(0'(3'(3'(2'(1'(2'(0'(3'(1'(1'(3'(0'(x11525))))))))))))))))))))))))))))))))))) [2]
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   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_1(v0) -> const [0]
   encode_3(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:
2' :: c_3:c_2:c_1:c_0:const -> c_3:c_2:c_1:c_0:const
c_2 :: c_3:c_2:c_1:c_0:const -> c_3:c_2:c_1:c_0:const
c_3 :: c_3:c_2:c_1:c_0:const -> c_3:c_2:c_1:c_0:const
c_0 :: c_3:c_2:c_1:c_0:const -> c_3:c_2:c_1:c_0:const
c_1 :: c_3:c_2:c_1:c_0:const -> c_3:c_2:c_1:c_0:const
1' :: c_3:c_2:c_1:c_0:const -> c_3:c_2:c_1:c_0:const
3' :: c_3:c_2:c_1:c_0:const -> c_3:c_2:c_1:c_0:const
0' :: c_3:c_2:c_1:c_0:const -> c_3:c_2:c_1:c_0:const
encArg :: cons_0:cons_1:cons_2:cons_3 -> c_3:c_2:c_1:c_0: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_3:c_2:c_1:c_0:const
encode_1 :: cons_0:cons_1:cons_2:cons_3 -> c_3:c_2:c_1:c_0:const
encode_3 :: cons_0:cons_1:cons_2:cons_3 -> c_3:c_2:c_1:c_0:const
encode_2 :: cons_0:cons_1:cons_2:cons_3 -> c_3:c_2:c_1:c_0:const
const :: c_3:c_2:c_1:c_0: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'(3'(0'(2'(0'(0'(0'(0'(1'(0'(2'(1'(3'(1'(1'(1'(1'(1'(3'(2'(1'(2'(2'(3'(3'(3'(2'(1'(3'(2'(0'(0'(2'(2'(2'(x11460))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11460))))))))))))))))))))))))))))))))), x11460 >= 0
   0'(z) -{ 2 }-> 3'(3'(0'(2'(0'(0'(0'(0'(1'(0'(2'(1'(3'(1'(1'(1'(1'(1'(2'(2'(1'(2'(1'(2'(0'(2'(3'(2'(2'(0'(0'(3'(3'(3'(3'(x11459))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11459))))))))))))))))))))))))))))))))), x11459 >= 0
   0'(z) -{ 2 }-> 3'(3'(0'(2'(0'(0'(0'(0'(1'(0'(2'(1'(3'(1'(1'(1'(1'(1'(2'(2'(0'(0'(1'(1'(0'(0'(2'(2'(2'(2'(1'(2'(0'(0'(3'(x11463))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11463))))))))))))))))))))))))))))))))), x11463 >= 0
   0'(z) -{ 2 }-> 3'(3'(0'(2'(0'(0'(0'(0'(1'(0'(2'(1'(3'(1'(1'(1'(1'(1'(2'(1'(3'(3'(0'(3'(0'(3'(1'(0'(2'(2'(3'(1'(0'(2'(1'(x11457))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11457))))))))))))))))))))))))))))))))), x11457 >= 0
   0'(z) -{ 2 }-> 3'(3'(0'(2'(0'(0'(0'(0'(1'(0'(2'(1'(3'(1'(1'(1'(1'(1'(2'(1'(1'(1'(3'(0'(3'(0'(3'(1'(0'(3'(2'(2'(0'(3'(1'(x11462))))))))))))))))))))))))))))))))))) :|: x11462 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11462)))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 3'(3'(0'(2'(0'(0'(0'(0'(1'(0'(2'(1'(3'(1'(1'(1'(1'(1'(1'(2'(2'(3'(2'(1'(0'(0'(3'(2'(3'(0'(0'(0'(1'(1'(2'(x11453))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11453))))))))))))))))))))))))))))))))), x11453 >= 0
   0'(z) -{ 2 }-> 3'(3'(0'(2'(0'(0'(0'(0'(1'(0'(2'(1'(3'(1'(1'(1'(1'(1'(1'(2'(1'(1'(3'(0'(3'(3'(2'(1'(2'(0'(3'(1'(1'(3'(0'(x11451))))))))))))))))))))))))))))))))))) :|: x11451 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11451)))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 3'(3'(0'(2'(0'(0'(0'(0'(1'(0'(2'(1'(3'(1'(1'(1'(1'(1'(1'(2'(1'(1'(0'(0'(2'(3'(0'(0'(0'(0'(1'(1'(0'(0'(2'(x11455))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11455))))))))))))))))))))))))))))))))), x11455 >= 0
   0'(z) -{ 2 }-> 3'(3'(0'(2'(0'(0'(0'(0'(1'(0'(2'(1'(3'(1'(1'(1'(1'(1'(1'(2'(1'(0'(1'(2'(3'(3'(0'(3'(0'(3'(2'(2'(1'(2'(3'(x11461))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11461))))))))))))))))))))))))))))))))), x11461 >= 0
   0'(z) -{ 2 }-> 3'(3'(0'(2'(0'(0'(0'(0'(1'(0'(2'(1'(3'(1'(1'(1'(1'(1'(1'(1'(2'(1'(3'(0'(0'(3'(3'(3'(0'(1'(1'(3'(3'(1'(3'(x11458))))))))))))))))))))))))))))))))))) :|: x11458 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11458)))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 3'(3'(0'(2'(0'(0'(0'(0'(1'(0'(2'(1'(3'(1'(1'(1'(1'(1'(0'(2'(3'(3'(3'(3'(0'(2'(0'(3'(1'(0'(3'(1'(2'(1'(2'(x11454))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11454))))))))))))))))))))))))))))))))), x11454 >= 0
   0'(z) -{ 2 }-> 3'(3'(0'(2'(0'(0'(0'(0'(1'(0'(2'(1'(3'(1'(1'(1'(1'(1'(0'(1'(1'(2'(2'(0'(3'(3'(0'(1'(0'(1'(2'(2'(3'(0'(2'(x11456))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11456))))))))))))))))))))))))))))))))), x11456 >= 0
   0'(z) -{ 2 }-> 3'(3'(0'(2'(0'(0'(0'(0'(1'(0'(2'(1'(3'(1'(1'(1'(1'(1'(0'(1'(1'(1'(3'(3'(2'(3'(0'(1'(2'(1'(1'(1'(1'(1'(3'(x11452))))))))))))))))))))))))))))))))))) :|: x11452 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11452)))))))))))))))))))))))))))))))))
   0'(z) -{ 1 }-> 3'(3'(0'(2'(0'(0'(0'(0'(1'(0'(2'(1'(3'(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
   0'(z) -{ 1 }-> 3'(3'(0'(2'(0'(0'(0'(0'(1'(0'(2'(1'(3'(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
   0'(z) -{ 1 }-> 3'(2'(2'(3'(2'(0'(1'(2'(1'(3'(1'(3'(0'(3'(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
   0'(z) -{ 1 }-> 3'(0'(3'(2'(3'(3'(0'(0'(3'(2'(1'(1'(0'(3'(1'(2'(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) -{ 1 }-> 3'(0'(3'(2'(2'(1'(1'(1'(2'(0'(1'(1'(2'(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 }-> 3'(0'(2'(3'(0'(3'(1'(2'(1'(2'(3'(0'(3'(1'(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
   0'(z) -{ 1 }-> 3'(0'(2'(3'(0'(3'(0'(3'(0'(0'(1'(2'(3'(3'(1'(2'(2'(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) -{ 2 }-> 3'(0'(0'(3'(1'(1'(0'(0'(2'(1'(2'(2'(0'(1'(1'(0'(3'(1'(3'(2'(1'(2'(2'(3'(3'(3'(2'(1'(3'(2'(0'(0'(2'(2'(2'(x1734))))))))))))))))))))))))))))))))))) :|: x1734 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1734)))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 3'(0'(0'(3'(1'(1'(0'(0'(2'(1'(2'(2'(0'(1'(1'(0'(3'(1'(2'(2'(1'(2'(1'(2'(0'(2'(3'(2'(2'(0'(0'(3'(3'(3'(3'(x1733))))))))))))))))))))))))))))))))))) :|: x1733 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1733)))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 3'(0'(0'(3'(1'(1'(0'(0'(2'(1'(2'(2'(0'(1'(1'(0'(3'(1'(2'(2'(0'(0'(1'(1'(0'(0'(2'(2'(2'(2'(1'(2'(0'(0'(3'(x1737))))))))))))))))))))))))))))))))))) :|: x1737 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1737)))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 3'(0'(0'(3'(1'(1'(0'(0'(2'(1'(2'(2'(0'(1'(1'(0'(3'(1'(2'(1'(3'(3'(0'(3'(0'(3'(1'(0'(2'(2'(3'(1'(0'(2'(1'(x1731))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1731))))))))))))))))))))))))))))))))), x1731 >= 0
   0'(z) -{ 2 }-> 3'(0'(0'(3'(1'(1'(0'(0'(2'(1'(2'(2'(0'(1'(1'(0'(3'(1'(2'(1'(1'(1'(3'(0'(3'(0'(3'(1'(0'(3'(2'(2'(0'(3'(1'(x1736))))))))))))))))))))))))))))))))))) :|: x1736 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1736)))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 3'(0'(0'(3'(1'(1'(0'(0'(2'(1'(2'(2'(0'(1'(1'(0'(3'(1'(1'(2'(2'(3'(2'(1'(0'(0'(3'(2'(3'(0'(0'(0'(1'(1'(2'(x1727))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1727))))))))))))))))))))))))))))))))), x1727 >= 0
   0'(z) -{ 2 }-> 3'(0'(0'(3'(1'(1'(0'(0'(2'(1'(2'(2'(0'(1'(1'(0'(3'(1'(1'(2'(1'(1'(3'(0'(3'(3'(2'(1'(2'(0'(3'(1'(1'(3'(0'(x1725))))))))))))))))))))))))))))))))))) :|: x1725 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1725)))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 3'(0'(0'(3'(1'(1'(0'(0'(2'(1'(2'(2'(0'(1'(1'(0'(3'(1'(1'(2'(1'(1'(0'(0'(2'(3'(0'(0'(0'(0'(1'(1'(0'(0'(2'(x1729))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1729))))))))))))))))))))))))))))))))), x1729 >= 0
   0'(z) -{ 2 }-> 3'(0'(0'(3'(1'(1'(0'(0'(2'(1'(2'(2'(0'(1'(1'(0'(3'(1'(1'(2'(1'(0'(1'(2'(3'(3'(0'(3'(0'(3'(2'(2'(1'(2'(3'(x1735))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1735))))))))))))))))))))))))))))))))), x1735 >= 0
   0'(z) -{ 2 }-> 3'(0'(0'(3'(1'(1'(0'(0'(2'(1'(2'(2'(0'(1'(1'(0'(3'(1'(1'(1'(2'(1'(3'(0'(0'(3'(3'(3'(0'(1'(1'(3'(3'(1'(3'(x1732))))))))))))))))))))))))))))))))))) :|: x1732 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1732)))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 3'(0'(0'(3'(1'(1'(0'(0'(2'(1'(2'(2'(0'(1'(1'(0'(3'(1'(0'(2'(3'(3'(3'(3'(0'(2'(0'(3'(1'(0'(3'(1'(2'(1'(2'(x1728))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1728))))))))))))))))))))))))))))))))), x1728 >= 0
   0'(z) -{ 2 }-> 3'(0'(0'(3'(1'(1'(0'(0'(2'(1'(2'(2'(0'(1'(1'(0'(3'(1'(0'(1'(1'(2'(2'(0'(3'(3'(0'(1'(0'(1'(2'(2'(3'(0'(2'(x1730))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1730))))))))))))))))))))))))))))))))), x1730 >= 0
   0'(z) -{ 2 }-> 3'(0'(0'(3'(1'(1'(0'(0'(2'(1'(2'(2'(0'(1'(1'(0'(3'(1'(0'(1'(1'(1'(3'(3'(2'(3'(0'(1'(2'(1'(1'(1'(1'(1'(3'(x1726))))))))))))))))))))))))))))))))))) :|: x1726 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1726)))))))))))))))))))))))))))))))))
   0'(z) -{ 1 }-> 3'(0'(0'(3'(1'(1'(0'(0'(2'(1'(2'(2'(0'(1'(1'(0'(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 }-> 3'(0'(0'(3'(1'(1'(0'(0'(2'(1'(2'(2'(0'(1'(1'(0'(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) -{ 2 }-> 2'(3'(0'(3'(3'(3'(1'(1'(3'(0'(3'(1'(3'(2'(3'(1'(2'(1'(3'(2'(1'(2'(2'(3'(3'(3'(2'(1'(3'(2'(0'(0'(2'(2'(2'(x1398))))))))))))))))))))))))))))))))))) :|: x1398 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1398)))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 2'(3'(0'(3'(3'(3'(1'(1'(3'(0'(3'(1'(3'(2'(3'(1'(2'(1'(2'(2'(1'(2'(1'(2'(0'(2'(3'(2'(2'(0'(0'(3'(3'(3'(3'(x1397))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1397))))))))))))))))))))))))))))))))), x1397 >= 0
   0'(z) -{ 2 }-> 2'(3'(0'(3'(3'(3'(1'(1'(3'(0'(3'(1'(3'(2'(3'(1'(2'(1'(2'(2'(0'(0'(1'(1'(0'(0'(2'(2'(2'(2'(1'(2'(0'(0'(3'(x1401))))))))))))))))))))))))))))))))))) :|: x1401 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1401)))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 2'(3'(0'(3'(3'(3'(1'(1'(3'(0'(3'(1'(3'(2'(3'(1'(2'(1'(2'(1'(3'(3'(0'(3'(0'(3'(1'(0'(2'(2'(3'(1'(0'(2'(1'(x1395))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1395))))))))))))))))))))))))))))))))), x1395 >= 0
   0'(z) -{ 2 }-> 2'(3'(0'(3'(3'(3'(1'(1'(3'(0'(3'(1'(3'(2'(3'(1'(2'(1'(2'(1'(1'(1'(3'(0'(3'(0'(3'(1'(0'(3'(2'(2'(0'(3'(1'(x1400))))))))))))))))))))))))))))))))))) :|: x1400 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1400)))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 2'(3'(0'(3'(3'(3'(1'(1'(3'(0'(3'(1'(3'(2'(3'(1'(2'(1'(1'(2'(2'(3'(2'(1'(0'(0'(3'(2'(3'(0'(0'(0'(1'(1'(2'(x1391))))))))))))))))))))))))))))))))))) :|: x1391 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1391)))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 2'(3'(0'(3'(3'(3'(1'(1'(3'(0'(3'(1'(3'(2'(3'(1'(2'(1'(1'(2'(1'(1'(3'(0'(3'(3'(2'(1'(2'(0'(3'(1'(1'(3'(0'(x1389))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1389))))))))))))))))))))))))))))))))), x1389 >= 0
   0'(z) -{ 2 }-> 2'(3'(0'(3'(3'(3'(1'(1'(3'(0'(3'(1'(3'(2'(3'(1'(2'(1'(1'(2'(1'(1'(0'(0'(2'(3'(0'(0'(0'(0'(1'(1'(0'(0'(2'(x1393))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1393))))))))))))))))))))))))))))))))), x1393 >= 0
   0'(z) -{ 2 }-> 2'(3'(0'(3'(3'(3'(1'(1'(3'(0'(3'(1'(3'(2'(3'(1'(2'(1'(1'(2'(1'(0'(1'(2'(3'(3'(0'(3'(0'(3'(2'(2'(1'(2'(3'(x1399))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1399))))))))))))))))))))))))))))))))), x1399 >= 0
   0'(z) -{ 2 }-> 2'(3'(0'(3'(3'(3'(1'(1'(3'(0'(3'(1'(3'(2'(3'(1'(2'(1'(1'(1'(2'(1'(3'(0'(0'(3'(3'(3'(0'(1'(1'(3'(3'(1'(3'(x1396))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1396))))))))))))))))))))))))))))))))), x1396 >= 0
   0'(z) -{ 2 }-> 2'(3'(0'(3'(3'(3'(1'(1'(3'(0'(3'(1'(3'(2'(3'(1'(2'(1'(0'(2'(3'(3'(3'(3'(0'(2'(0'(3'(1'(0'(3'(1'(2'(1'(2'(x1392))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1392))))))))))))))))))))))))))))))))), x1392 >= 0
   0'(z) -{ 2 }-> 2'(3'(0'(3'(3'(3'(1'(1'(3'(0'(3'(1'(3'(2'(3'(1'(2'(1'(0'(1'(1'(2'(2'(0'(3'(3'(0'(1'(0'(1'(2'(2'(3'(0'(2'(x1394))))))))))))))))))))))))))))))))))) :|: x1394 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1394)))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 2'(3'(0'(3'(3'(3'(1'(1'(3'(0'(3'(1'(3'(2'(3'(1'(2'(1'(0'(1'(1'(1'(3'(3'(2'(3'(0'(1'(2'(1'(1'(1'(1'(1'(3'(x1390))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1390))))))))))))))))))))))))))))))))), x1390 >= 0
   0'(z) -{ 1 }-> 2'(3'(0'(3'(3'(3'(1'(1'(3'(0'(3'(1'(3'(2'(3'(1'(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 }-> 2'(3'(0'(3'(3'(3'(1'(1'(3'(0'(3'(1'(3'(2'(3'(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
   0'(z) -{ 1 }-> 2'(3'(0'(3'(3'(3'(1'(0'(0'(1'(2'(1'(3'(2'(3'(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
   0'(z) -{ 2 }-> 2'(1'(3'(2'(3'(1'(1'(3'(3'(0'(3'(3'(0'(3'(2'(1'(1'(1'(3'(2'(1'(2'(2'(3'(3'(3'(2'(1'(3'(2'(0'(0'(2'(2'(2'(x11303))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11303))))))))))))))))))))))))))))))))), x11303 >= 0
   0'(z) -{ 2 }-> 2'(1'(3'(2'(3'(1'(1'(3'(3'(0'(3'(3'(0'(3'(2'(1'(1'(1'(2'(2'(1'(2'(1'(2'(0'(2'(3'(2'(2'(0'(0'(3'(3'(3'(3'(x11302))))))))))))))))))))))))))))))))))) :|: x11302 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11302)))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 2'(1'(3'(2'(3'(1'(1'(3'(3'(0'(3'(3'(0'(3'(2'(1'(1'(1'(2'(2'(0'(0'(1'(1'(0'(0'(2'(2'(2'(2'(1'(2'(0'(0'(3'(x11306))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11306))))))))))))))))))))))))))))))))), x11306 >= 0
   0'(z) -{ 2 }-> 2'(1'(3'(2'(3'(1'(1'(3'(3'(0'(3'(3'(0'(3'(2'(1'(1'(1'(2'(1'(3'(3'(0'(3'(0'(3'(1'(0'(2'(2'(3'(1'(0'(2'(1'(x11300))))))))))))))))))))))))))))))))))) :|: x11300 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11300)))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 2'(1'(3'(2'(3'(1'(1'(3'(3'(0'(3'(3'(0'(3'(2'(1'(1'(1'(2'(1'(1'(1'(3'(0'(3'(0'(3'(1'(0'(3'(2'(2'(0'(3'(1'(x11305))))))))))))))))))))))))))))))))))) :|: x11305 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11305)))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 2'(1'(3'(2'(3'(1'(1'(3'(3'(0'(3'(3'(0'(3'(2'(1'(1'(1'(1'(2'(2'(3'(2'(1'(0'(0'(3'(2'(3'(0'(0'(0'(1'(1'(2'(x11296))))))))))))))))))))))))))))))))))) :|: x11296 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11296)))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 2'(1'(3'(2'(3'(1'(1'(3'(3'(0'(3'(3'(0'(3'(2'(1'(1'(1'(1'(2'(1'(1'(3'(0'(3'(3'(2'(1'(2'(0'(3'(1'(1'(3'(0'(x11294))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11294))))))))))))))))))))))))))))))))), x11294 >= 0
   0'(z) -{ 2 }-> 2'(1'(3'(2'(3'(1'(1'(3'(3'(0'(3'(3'(0'(3'(2'(1'(1'(1'(1'(2'(1'(1'(0'(0'(2'(3'(0'(0'(0'(0'(1'(1'(0'(0'(2'(x11298))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11298))))))))))))))))))))))))))))))))), x11298 >= 0
   0'(z) -{ 2 }-> 2'(1'(3'(2'(3'(1'(1'(3'(3'(0'(3'(3'(0'(3'(2'(1'(1'(1'(1'(2'(1'(0'(1'(2'(3'(3'(0'(3'(0'(3'(2'(2'(1'(2'(3'(x11304))))))))))))))))))))))))))))))))))) :|: x11304 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11304)))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 2'(1'(3'(2'(3'(1'(1'(3'(3'(0'(3'(3'(0'(3'(2'(1'(1'(1'(1'(1'(2'(1'(3'(0'(0'(3'(3'(3'(0'(1'(1'(3'(3'(1'(3'(x11301))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11301))))))))))))))))))))))))))))))))), x11301 >= 0
   0'(z) -{ 2 }-> 2'(1'(3'(2'(3'(1'(1'(3'(3'(0'(3'(3'(0'(3'(2'(1'(1'(1'(0'(2'(3'(3'(3'(3'(0'(2'(0'(3'(1'(0'(3'(1'(2'(1'(2'(x11297))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11297))))))))))))))))))))))))))))))))), x11297 >= 0
   0'(z) -{ 2 }-> 2'(1'(3'(2'(3'(1'(1'(3'(3'(0'(3'(3'(0'(3'(2'(1'(1'(1'(0'(1'(1'(2'(2'(0'(3'(3'(0'(1'(0'(1'(2'(2'(3'(0'(2'(x11299))))))))))))))))))))))))))))))))))) :|: x11299 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11299)))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 2'(1'(3'(2'(3'(1'(1'(3'(3'(0'(3'(3'(0'(3'(2'(1'(1'(1'(0'(1'(1'(1'(3'(3'(2'(3'(0'(1'(2'(1'(1'(1'(1'(1'(3'(x11295))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11295))))))))))))))))))))))))))))))))), x11295 >= 0
   0'(z) -{ 1 }-> 2'(1'(3'(2'(3'(1'(1'(3'(3'(0'(3'(3'(0'(3'(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 }-> 2'(1'(3'(2'(3'(1'(1'(3'(3'(0'(3'(3'(0'(3'(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 }-> 2'(0'(0'(3'(1'(2'(2'(1'(2'(0'(1'(0'(1'(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
   0'(z) -{ 1 }-> 1'(0'(0'(3'(2'(1'(2'(2'(2'(0'(0'(3'(1'(0'(0'(0'(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'(0'(0'(3'(3'(2'(0'(1'(1'(0'(2'(3'(0'(0'(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) -{ 1 }-> 0'(2'(1'(2'(0'(2'(1'(2'(0'(3'(0'(0'(3'(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
   0'(z) -{ 1 }-> 0'(1'(2'(3'(0'(3'(3'(3'(3'(2'(2'(1'(2'(0'(2'(3'(1'(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'(1'(2'(3'(0'(3'(3'(0'(2'(0'(1'(0'(2'(1'(3'(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
   0'(z) -{ 1 }-> 0'(0'(3'(2'(2'(0'(2'(0'(0'(0'(2'(2'(0'(3'(0'(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
   0'(z) -{ 1 }-> 0'(0'(3'(2'(1'(0'(0'(3'(1'(3'(0'(3'(2'(2'(1'(2'(2'(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'(0'(1'(1'(3'(0'(3'(3'(1'(2'(0'(2'(3'(0'(2'(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
   0'(z) -{ 1 }-> 0'(0'(0'(3'(2'(0'(1'(3'(0'(2'(1'(0'(0'(1'(2'(0'(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) -{ 0 }-> 0 :|: v0 >= 0, z = v0
   0'(z) -{ 0 }-> 1 + x0 :|: z = x0, x0 >= 0
   1'(z) -{ 1 }-> 1'(3'(2'(1'(2'(2'(3'(3'(3'(2'(1'(3'(2'(0'(0'(2'(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'(2'(2'(1'(2'(1'(2'(0'(2'(3'(2'(2'(0'(0'(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'(2'(2'(0'(0'(1'(1'(0'(0'(2'(2'(2'(2'(1'(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
   1'(z) -{ 2 }-> 1'(2'(1'(3'(3'(0'(3'(0'(3'(1'(0'(2'(2'(3'(1'(0'(2'(1'(3'(2'(1'(2'(2'(3'(3'(3'(2'(1'(3'(2'(0'(0'(2'(2'(2'(x1996))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1996))))))))))))))))))))))))))))))))), x1996 >= 0
   1'(z) -{ 2 }-> 1'(2'(1'(3'(3'(0'(3'(0'(3'(1'(0'(2'(2'(3'(1'(0'(2'(1'(2'(2'(1'(2'(1'(2'(0'(2'(3'(2'(2'(0'(0'(3'(3'(3'(3'(x1995))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1995))))))))))))))))))))))))))))))))), x1995 >= 0
   1'(z) -{ 2 }-> 1'(2'(1'(3'(3'(0'(3'(0'(3'(1'(0'(2'(2'(3'(1'(0'(2'(1'(2'(2'(0'(0'(1'(1'(0'(0'(2'(2'(2'(2'(1'(2'(0'(0'(3'(x1999))))))))))))))))))))))))))))))))))) :|: x1999 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1999)))))))))))))))))))))))))))))))))
   1'(z) -{ 2 }-> 1'(2'(1'(3'(3'(0'(3'(0'(3'(1'(0'(2'(2'(3'(1'(0'(2'(1'(2'(1'(3'(3'(0'(3'(0'(3'(1'(0'(2'(2'(3'(1'(0'(2'(1'(x1993))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1993))))))))))))))))))))))))))))))))), x1993 >= 0
   1'(z) -{ 2 }-> 1'(2'(1'(3'(3'(0'(3'(0'(3'(1'(0'(2'(2'(3'(1'(0'(2'(1'(2'(1'(1'(1'(3'(0'(3'(0'(3'(1'(0'(3'(2'(2'(0'(3'(1'(x1998))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1998))))))))))))))))))))))))))))))))), x1998 >= 0
   1'(z) -{ 2 }-> 1'(2'(1'(3'(3'(0'(3'(0'(3'(1'(0'(2'(2'(3'(1'(0'(2'(1'(1'(2'(2'(3'(2'(1'(0'(0'(3'(2'(3'(0'(0'(0'(1'(1'(2'(x1989))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1989))))))))))))))))))))))))))))))))), x1989 >= 0
   1'(z) -{ 2 }-> 1'(2'(1'(3'(3'(0'(3'(0'(3'(1'(0'(2'(2'(3'(1'(0'(2'(1'(1'(2'(1'(1'(3'(0'(3'(3'(2'(1'(2'(0'(3'(1'(1'(3'(0'(x1987))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1987))))))))))))))))))))))))))))))))), x1987 >= 0
   1'(z) -{ 2 }-> 1'(2'(1'(3'(3'(0'(3'(0'(3'(1'(0'(2'(2'(3'(1'(0'(2'(1'(1'(2'(1'(1'(0'(0'(2'(3'(0'(0'(0'(0'(1'(1'(0'(0'(2'(x1991))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1991))))))))))))))))))))))))))))))))), x1991 >= 0
   1'(z) -{ 2 }-> 1'(2'(1'(3'(3'(0'(3'(0'(3'(1'(0'(2'(2'(3'(1'(0'(2'(1'(1'(2'(1'(0'(1'(2'(3'(3'(0'(3'(0'(3'(2'(2'(1'(2'(3'(x1997))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1997))))))))))))))))))))))))))))))))), x1997 >= 0
   1'(z) -{ 2 }-> 1'(2'(1'(3'(3'(0'(3'(0'(3'(1'(0'(2'(2'(3'(1'(0'(2'(1'(1'(1'(2'(1'(3'(0'(0'(3'(3'(3'(0'(1'(1'(3'(3'(1'(3'(x1994))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1994))))))))))))))))))))))))))))))))), x1994 >= 0
   1'(z) -{ 2 }-> 1'(2'(1'(3'(3'(0'(3'(0'(3'(1'(0'(2'(2'(3'(1'(0'(2'(1'(0'(2'(3'(3'(3'(3'(0'(2'(0'(3'(1'(0'(3'(1'(2'(1'(2'(x1990))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1990))))))))))))))))))))))))))))))))), x1990 >= 0
   1'(z) -{ 2 }-> 1'(2'(1'(3'(3'(0'(3'(0'(3'(1'(0'(2'(2'(3'(1'(0'(2'(1'(0'(1'(1'(2'(2'(0'(3'(3'(0'(1'(0'(1'(2'(2'(3'(0'(2'(x1992))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1992))))))))))))))))))))))))))))))))), x1992 >= 0
   1'(z) -{ 2 }-> 1'(2'(1'(3'(3'(0'(3'(0'(3'(1'(0'(2'(2'(3'(1'(0'(2'(1'(0'(1'(1'(1'(3'(3'(2'(3'(0'(1'(2'(1'(1'(1'(1'(1'(3'(x1988))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1988))))))))))))))))))))))))))))))))), x1988 >= 0
   1'(z) -{ 1 }-> 1'(2'(1'(3'(3'(0'(3'(0'(3'(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
   1'(z) -{ 1 }-> 1'(2'(1'(3'(3'(0'(3'(0'(3'(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
   1'(z) -{ 2 }-> 1'(2'(1'(1'(1'(3'(0'(3'(0'(3'(1'(0'(3'(2'(2'(0'(3'(1'(3'(2'(1'(2'(2'(3'(3'(3'(2'(1'(3'(2'(0'(0'(2'(2'(2'(x11534))))))))))))))))))))))))))))))))))) :|: x11534 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11534)))))))))))))))))))))))))))))))))
   1'(z) -{ 2 }-> 1'(2'(1'(1'(1'(3'(0'(3'(0'(3'(1'(0'(3'(2'(2'(0'(3'(1'(2'(2'(1'(2'(1'(2'(0'(2'(3'(2'(2'(0'(0'(3'(3'(3'(3'(x11533))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11533))))))))))))))))))))))))))))))))), x11533 >= 0
   1'(z) -{ 2 }-> 1'(2'(1'(1'(1'(3'(0'(3'(0'(3'(1'(0'(3'(2'(2'(0'(3'(1'(2'(2'(0'(0'(1'(1'(0'(0'(2'(2'(2'(2'(1'(2'(0'(0'(3'(x11537))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11537))))))))))))))))))))))))))))))))), x11537 >= 0
   1'(z) -{ 2 }-> 1'(2'(1'(1'(1'(3'(0'(3'(0'(3'(1'(0'(3'(2'(2'(0'(3'(1'(2'(1'(3'(3'(0'(3'(0'(3'(1'(0'(2'(2'(3'(1'(0'(2'(1'(x11531))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11531))))))))))))))))))))))))))))))))), x11531 >= 0
   1'(z) -{ 2 }-> 1'(2'(1'(1'(1'(3'(0'(3'(0'(3'(1'(0'(3'(2'(2'(0'(3'(1'(2'(1'(1'(1'(3'(0'(3'(0'(3'(1'(0'(3'(2'(2'(0'(3'(1'(x11536))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11536))))))))))))))))))))))))))))))))), x11536 >= 0
   1'(z) -{ 2 }-> 1'(2'(1'(1'(1'(3'(0'(3'(0'(3'(1'(0'(3'(2'(2'(0'(3'(1'(1'(2'(2'(3'(2'(1'(0'(0'(3'(2'(3'(0'(0'(0'(1'(1'(2'(x11527))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11527))))))))))))))))))))))))))))))))), x11527 >= 0
   1'(z) -{ 2 }-> 1'(2'(1'(1'(1'(3'(0'(3'(0'(3'(1'(0'(3'(2'(2'(0'(3'(1'(1'(2'(1'(1'(3'(0'(3'(3'(2'(1'(2'(0'(3'(1'(1'(3'(0'(x11525))))))))))))))))))))))))))))))))))) :|: x11525 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11525)))))))))))))))))))))))))))))))))
   1'(z) -{ 2 }-> 1'(2'(1'(1'(1'(3'(0'(3'(0'(3'(1'(0'(3'(2'(2'(0'(3'(1'(1'(2'(1'(1'(0'(0'(2'(3'(0'(0'(0'(0'(1'(1'(0'(0'(2'(x11529))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11529))))))))))))))))))))))))))))))))), x11529 >= 0
   1'(z) -{ 2 }-> 1'(2'(1'(1'(1'(3'(0'(3'(0'(3'(1'(0'(3'(2'(2'(0'(3'(1'(1'(2'(1'(0'(1'(2'(3'(3'(0'(3'(0'(3'(2'(2'(1'(2'(3'(x11535))))))))))))))))))))))))))))))))))) :|: x11535 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11535)))))))))))))))))))))))))))))))))
   1'(z) -{ 2 }-> 1'(2'(1'(1'(1'(3'(0'(3'(0'(3'(1'(0'(3'(2'(2'(0'(3'(1'(1'(1'(2'(1'(3'(0'(0'(3'(3'(3'(0'(1'(1'(3'(3'(1'(3'(x11532))))))))))))))))))))))))))))))))))) :|: x11532 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11532)))))))))))))))))))))))))))))))))
   1'(z) -{ 2 }-> 1'(2'(1'(1'(1'(3'(0'(3'(0'(3'(1'(0'(3'(2'(2'(0'(3'(1'(0'(2'(3'(3'(3'(3'(0'(2'(0'(3'(1'(0'(3'(1'(2'(1'(2'(x11528))))))))))))))))))))))))))))))))))) :|: x11528 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11528)))))))))))))))))))))))))))))))))
   1'(z) -{ 2 }-> 1'(2'(1'(1'(1'(3'(0'(3'(0'(3'(1'(0'(3'(2'(2'(0'(3'(1'(0'(1'(1'(2'(2'(0'(3'(3'(0'(1'(0'(1'(2'(2'(3'(0'(2'(x11530))))))))))))))))))))))))))))))))))) :|: x11530 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11530)))))))))))))))))))))))))))))))))
   1'(z) -{ 2 }-> 1'(2'(1'(1'(1'(3'(0'(3'(0'(3'(1'(0'(3'(2'(2'(0'(3'(1'(0'(1'(1'(1'(3'(3'(2'(3'(0'(1'(2'(1'(1'(1'(1'(1'(3'(x11526))))))))))))))))))))))))))))))))))) :|: x11526 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11526)))))))))))))))))))))))))))))))))
   1'(z) -{ 1 }-> 1'(2'(1'(1'(1'(3'(0'(3'(0'(3'(1'(0'(3'(2'(2'(0'(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'(2'(1'(1'(1'(3'(0'(3'(0'(3'(1'(0'(3'(2'(2'(0'(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'(1'(2'(2'(3'(2'(1'(0'(0'(3'(2'(3'(0'(0'(0'(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'(2'(1'(1'(3'(0'(3'(3'(2'(1'(2'(0'(3'(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'(1'(2'(1'(1'(0'(0'(2'(3'(0'(0'(0'(0'(1'(1'(0'(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'(1'(2'(1'(0'(1'(2'(3'(3'(0'(3'(0'(3'(2'(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
   1'(z) -{ 1 }-> 1'(1'(1'(2'(1'(3'(0'(0'(3'(3'(3'(0'(1'(1'(3'(3'(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'(2'(3'(3'(3'(3'(0'(2'(0'(3'(1'(0'(3'(1'(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
   1'(z) -{ 1 }-> 1'(0'(1'(1'(2'(2'(0'(3'(3'(0'(1'(0'(1'(2'(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'(1'(3'(3'(2'(3'(0'(1'(2'(1'(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) -{ 0 }-> 0 :|: v0 >= 0, z = v0
   1'(z) -{ 0 }-> 1 + x0 :|: z = x0, x0 >= 0
   2'(z) -{ 1 }-> 2'(3'(3'(2'(2'(1'(3'(2'(3'(2'(1'(0'(3'(3'(1'(2'(3'(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) -{ 2 }-> 2'(3'(3'(2'(1'(2'(0'(3'(1'(2'(2'(1'(0'(3'(2'(2'(1'(1'(3'(2'(1'(2'(2'(3'(3'(3'(2'(1'(3'(2'(0'(0'(2'(2'(2'(x1456))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1456))))))))))))))))))))))))))))))))), x1456 >= 0
   2'(z) -{ 2 }-> 2'(3'(3'(2'(1'(2'(0'(3'(1'(2'(2'(1'(0'(3'(2'(2'(1'(1'(2'(2'(1'(2'(1'(2'(0'(2'(3'(2'(2'(0'(0'(3'(3'(3'(3'(x1455))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1455))))))))))))))))))))))))))))))))), x1455 >= 0
   2'(z) -{ 2 }-> 2'(3'(3'(2'(1'(2'(0'(3'(1'(2'(2'(1'(0'(3'(2'(2'(1'(1'(2'(2'(0'(0'(1'(1'(0'(0'(2'(2'(2'(2'(1'(2'(0'(0'(3'(x1459))))))))))))))))))))))))))))))))))) :|: x1459 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1459)))))))))))))))))))))))))))))))))
   2'(z) -{ 2 }-> 2'(3'(3'(2'(1'(2'(0'(3'(1'(2'(2'(1'(0'(3'(2'(2'(1'(1'(2'(1'(3'(3'(0'(3'(0'(3'(1'(0'(2'(2'(3'(1'(0'(2'(1'(x1453))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1453))))))))))))))))))))))))))))))))), x1453 >= 0
   2'(z) -{ 2 }-> 2'(3'(3'(2'(1'(2'(0'(3'(1'(2'(2'(1'(0'(3'(2'(2'(1'(1'(2'(1'(1'(1'(3'(0'(3'(0'(3'(1'(0'(3'(2'(2'(0'(3'(1'(x1458))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1458))))))))))))))))))))))))))))))))), x1458 >= 0
   2'(z) -{ 2 }-> 2'(3'(3'(2'(1'(2'(0'(3'(1'(2'(2'(1'(0'(3'(2'(2'(1'(1'(1'(2'(2'(3'(2'(1'(0'(0'(3'(2'(3'(0'(0'(0'(1'(1'(2'(x1449))))))))))))))))))))))))))))))))))) :|: x1449 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1449)))))))))))))))))))))))))))))))))
   2'(z) -{ 2 }-> 2'(3'(3'(2'(1'(2'(0'(3'(1'(2'(2'(1'(0'(3'(2'(2'(1'(1'(1'(2'(1'(1'(3'(0'(3'(3'(2'(1'(2'(0'(3'(1'(1'(3'(0'(x1447))))))))))))))))))))))))))))))))))) :|: x1447 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1447)))))))))))))))))))))))))))))))))
   2'(z) -{ 2 }-> 2'(3'(3'(2'(1'(2'(0'(3'(1'(2'(2'(1'(0'(3'(2'(2'(1'(1'(1'(2'(1'(1'(0'(0'(2'(3'(0'(0'(0'(0'(1'(1'(0'(0'(2'(x1451))))))))))))))))))))))))))))))))))) :|: x1451 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1451)))))))))))))))))))))))))))))))))
   2'(z) -{ 2 }-> 2'(3'(3'(2'(1'(2'(0'(3'(1'(2'(2'(1'(0'(3'(2'(2'(1'(1'(1'(2'(1'(0'(1'(2'(3'(3'(0'(3'(0'(3'(2'(2'(1'(2'(3'(x1457))))))))))))))))))))))))))))))))))) :|: x1457 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1457)))))))))))))))))))))))))))))))))
   2'(z) -{ 2 }-> 2'(3'(3'(2'(1'(2'(0'(3'(1'(2'(2'(1'(0'(3'(2'(2'(1'(1'(1'(1'(2'(1'(3'(0'(0'(3'(3'(3'(0'(1'(1'(3'(3'(1'(3'(x1454))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1454))))))))))))))))))))))))))))))))), x1454 >= 0
   2'(z) -{ 2 }-> 2'(3'(3'(2'(1'(2'(0'(3'(1'(2'(2'(1'(0'(3'(2'(2'(1'(1'(0'(2'(3'(3'(3'(3'(0'(2'(0'(3'(1'(0'(3'(1'(2'(1'(2'(x1450))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1450))))))))))))))))))))))))))))))))), x1450 >= 0
   2'(z) -{ 2 }-> 2'(3'(3'(2'(1'(2'(0'(3'(1'(2'(2'(1'(0'(3'(2'(2'(1'(1'(0'(1'(1'(2'(2'(0'(3'(3'(0'(1'(0'(1'(2'(2'(3'(0'(2'(x1452))))))))))))))))))))))))))))))))))) :|: x1452 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1452)))))))))))))))))))))))))))))))))
   2'(z) -{ 2 }-> 2'(3'(3'(2'(1'(2'(0'(3'(1'(2'(2'(1'(0'(3'(2'(2'(1'(1'(0'(1'(1'(1'(3'(3'(2'(3'(0'(1'(2'(1'(1'(1'(1'(1'(3'(x1448))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1448))))))))))))))))))))))))))))))))), x1448 >= 0
   2'(z) -{ 1 }-> 2'(3'(3'(2'(1'(2'(0'(3'(1'(2'(2'(1'(0'(3'(2'(2'(1'(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'(3'(3'(2'(1'(2'(0'(3'(1'(2'(2'(1'(0'(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
   2'(z) -{ 1 }-> 2'(3'(1'(2'(2'(1'(2'(2'(1'(0'(2'(2'(2'(2'(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
   2'(z) -{ 1 }-> 2'(2'(2'(1'(1'(2'(3'(2'(3'(2'(2'(0'(3'(1'(2'(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
   2'(z) -{ 1 }-> 2'(2'(1'(2'(1'(3'(1'(1'(2'(3'(2'(2'(0'(1'(2'(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'(2'(2'(2'(0'(1'(1'(0'(0'(3'(3'(1'(3'(0'(2'(1'(1'(3'(2'(1'(2'(2'(3'(3'(3'(2'(1'(3'(2'(0'(0'(2'(2'(2'(x11170))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11170))))))))))))))))))))))))))))))))), x11170 >= 0
   2'(z) -{ 2 }-> 2'(1'(2'(2'(2'(0'(1'(1'(0'(0'(3'(3'(1'(3'(0'(2'(1'(1'(2'(2'(1'(2'(1'(2'(0'(2'(3'(2'(2'(0'(0'(3'(3'(3'(3'(x11169))))))))))))))))))))))))))))))))))) :|: x11169 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11169)))))))))))))))))))))))))))))))))
   2'(z) -{ 2 }-> 2'(1'(2'(2'(2'(0'(1'(1'(0'(0'(3'(3'(1'(3'(0'(2'(1'(1'(2'(2'(0'(0'(1'(1'(0'(0'(2'(2'(2'(2'(1'(2'(0'(0'(3'(x11173))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11173))))))))))))))))))))))))))))))))), x11173 >= 0
   2'(z) -{ 2 }-> 2'(1'(2'(2'(2'(0'(1'(1'(0'(0'(3'(3'(1'(3'(0'(2'(1'(1'(2'(1'(3'(3'(0'(3'(0'(3'(1'(0'(2'(2'(3'(1'(0'(2'(1'(x11167))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11167))))))))))))))))))))))))))))))))), x11167 >= 0
   2'(z) -{ 2 }-> 2'(1'(2'(2'(2'(0'(1'(1'(0'(0'(3'(3'(1'(3'(0'(2'(1'(1'(2'(1'(1'(1'(3'(0'(3'(0'(3'(1'(0'(3'(2'(2'(0'(3'(1'(x11172))))))))))))))))))))))))))))))))))) :|: x11172 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11172)))))))))))))))))))))))))))))))))
   2'(z) -{ 2 }-> 2'(1'(2'(2'(2'(0'(1'(1'(0'(0'(3'(3'(1'(3'(0'(2'(1'(1'(1'(2'(2'(3'(2'(1'(0'(0'(3'(2'(3'(0'(0'(0'(1'(1'(2'(x11163))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11163))))))))))))))))))))))))))))))))), x11163 >= 0
   2'(z) -{ 2 }-> 2'(1'(2'(2'(2'(0'(1'(1'(0'(0'(3'(3'(1'(3'(0'(2'(1'(1'(1'(2'(1'(1'(3'(0'(3'(3'(2'(1'(2'(0'(3'(1'(1'(3'(0'(x11161))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11161))))))))))))))))))))))))))))))))), x11161 >= 0
   2'(z) -{ 2 }-> 2'(1'(2'(2'(2'(0'(1'(1'(0'(0'(3'(3'(1'(3'(0'(2'(1'(1'(1'(2'(1'(1'(0'(0'(2'(3'(0'(0'(0'(0'(1'(1'(0'(0'(2'(x11165))))))))))))))))))))))))))))))))))) :|: x11165 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11165)))))))))))))))))))))))))))))))))
   2'(z) -{ 2 }-> 2'(1'(2'(2'(2'(0'(1'(1'(0'(0'(3'(3'(1'(3'(0'(2'(1'(1'(1'(2'(1'(0'(1'(2'(3'(3'(0'(3'(0'(3'(2'(2'(1'(2'(3'(x11171))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11171))))))))))))))))))))))))))))))))), x11171 >= 0
   2'(z) -{ 2 }-> 2'(1'(2'(2'(2'(0'(1'(1'(0'(0'(3'(3'(1'(3'(0'(2'(1'(1'(1'(1'(2'(1'(3'(0'(0'(3'(3'(3'(0'(1'(1'(3'(3'(1'(3'(x11168))))))))))))))))))))))))))))))))))) :|: x11168 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11168)))))))))))))))))))))))))))))))))
   2'(z) -{ 2 }-> 2'(1'(2'(2'(2'(0'(1'(1'(0'(0'(3'(3'(1'(3'(0'(2'(1'(1'(0'(2'(3'(3'(3'(3'(0'(2'(0'(3'(1'(0'(3'(1'(2'(1'(2'(x11164))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11164))))))))))))))))))))))))))))))))), x11164 >= 0
   2'(z) -{ 2 }-> 2'(1'(2'(2'(2'(0'(1'(1'(0'(0'(3'(3'(1'(3'(0'(2'(1'(1'(0'(1'(1'(2'(2'(0'(3'(3'(0'(1'(0'(1'(2'(2'(3'(0'(2'(x11166))))))))))))))))))))))))))))))))))) :|: x11166 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11166)))))))))))))))))))))))))))))))))
   2'(z) -{ 2 }-> 2'(1'(2'(2'(2'(0'(1'(1'(0'(0'(3'(3'(1'(3'(0'(2'(1'(1'(0'(1'(1'(1'(3'(3'(2'(3'(0'(1'(2'(1'(1'(1'(1'(1'(3'(x11162))))))))))))))))))))))))))))))))))) :|: x11162 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11162)))))))))))))))))))))))))))))))))
   2'(z) -{ 1 }-> 2'(1'(2'(2'(2'(0'(1'(1'(0'(0'(3'(3'(1'(3'(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
   2'(z) -{ 1 }-> 2'(1'(2'(2'(2'(0'(1'(1'(0'(0'(3'(3'(1'(3'(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
   2'(z) -{ 1 }-> 2'(1'(2'(2'(1'(0'(0'(3'(3'(0'(1'(2'(2'(2'(2'(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'(1'(3'(2'(1'(2'(3'(2'(3'(3'(0'(0'(3'(1'(2'(1'(3'(2'(1'(2'(2'(3'(3'(3'(2'(1'(3'(2'(0'(0'(2'(2'(2'(x11183))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11183))))))))))))))))))))))))))))))))), x11183 >= 0
   2'(z) -{ 2 }-> 2'(1'(2'(1'(3'(2'(1'(2'(3'(2'(3'(3'(0'(0'(3'(1'(2'(1'(2'(2'(1'(2'(1'(2'(0'(2'(3'(2'(2'(0'(0'(3'(3'(3'(3'(x11182))))))))))))))))))))))))))))))))))) :|: x11182 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11182)))))))))))))))))))))))))))))))))
   2'(z) -{ 2 }-> 2'(1'(2'(1'(3'(2'(1'(2'(3'(2'(3'(3'(0'(0'(3'(1'(2'(1'(2'(2'(0'(0'(1'(1'(0'(0'(2'(2'(2'(2'(1'(2'(0'(0'(3'(x11186))))))))))))))))))))))))))))))))))) :|: x11186 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11186)))))))))))))))))))))))))))))))))
   2'(z) -{ 2 }-> 2'(1'(2'(1'(3'(2'(1'(2'(3'(2'(3'(3'(0'(0'(3'(1'(2'(1'(2'(1'(3'(3'(0'(3'(0'(3'(1'(0'(2'(2'(3'(1'(0'(2'(1'(x11180))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11180))))))))))))))))))))))))))))))))), x11180 >= 0
   2'(z) -{ 2 }-> 2'(1'(2'(1'(3'(2'(1'(2'(3'(2'(3'(3'(0'(0'(3'(1'(2'(1'(2'(1'(1'(1'(3'(0'(3'(0'(3'(1'(0'(3'(2'(2'(0'(3'(1'(x11185))))))))))))))))))))))))))))))))))) :|: x11185 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11185)))))))))))))))))))))))))))))))))
   2'(z) -{ 2 }-> 2'(1'(2'(1'(3'(2'(1'(2'(3'(2'(3'(3'(0'(0'(3'(1'(2'(1'(1'(2'(2'(3'(2'(1'(0'(0'(3'(2'(3'(0'(0'(0'(1'(1'(2'(x11176))))))))))))))))))))))))))))))))))) :|: x11176 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11176)))))))))))))))))))))))))))))))))
   2'(z) -{ 2 }-> 2'(1'(2'(1'(3'(2'(1'(2'(3'(2'(3'(3'(0'(0'(3'(1'(2'(1'(1'(2'(1'(1'(3'(0'(3'(3'(2'(1'(2'(0'(3'(1'(1'(3'(0'(x11174))))))))))))))))))))))))))))))))))) :|: x11174 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11174)))))))))))))))))))))))))))))))))
   2'(z) -{ 2 }-> 2'(1'(2'(1'(3'(2'(1'(2'(3'(2'(3'(3'(0'(0'(3'(1'(2'(1'(1'(2'(1'(1'(0'(0'(2'(3'(0'(0'(0'(0'(1'(1'(0'(0'(2'(x11178))))))))))))))))))))))))))))))))))) :|: x11178 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11178)))))))))))))))))))))))))))))))))
   2'(z) -{ 2 }-> 2'(1'(2'(1'(3'(2'(1'(2'(3'(2'(3'(3'(0'(0'(3'(1'(2'(1'(1'(2'(1'(0'(1'(2'(3'(3'(0'(3'(0'(3'(2'(2'(1'(2'(3'(x11184))))))))))))))))))))))))))))))))))) :|: x11184 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11184)))))))))))))))))))))))))))))))))
   2'(z) -{ 2 }-> 2'(1'(2'(1'(3'(2'(1'(2'(3'(2'(3'(3'(0'(0'(3'(1'(2'(1'(1'(1'(2'(1'(3'(0'(0'(3'(3'(3'(0'(1'(1'(3'(3'(1'(3'(x11181))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11181))))))))))))))))))))))))))))))))), x11181 >= 0
   2'(z) -{ 2 }-> 2'(1'(2'(1'(3'(2'(1'(2'(3'(2'(3'(3'(0'(0'(3'(1'(2'(1'(0'(2'(3'(3'(3'(3'(0'(2'(0'(3'(1'(0'(3'(1'(2'(1'(2'(x11177))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11177))))))))))))))))))))))))))))))))), x11177 >= 0
   2'(z) -{ 2 }-> 2'(1'(2'(1'(3'(2'(1'(2'(3'(2'(3'(3'(0'(0'(3'(1'(2'(1'(0'(1'(1'(2'(2'(0'(3'(3'(0'(1'(0'(1'(2'(2'(3'(0'(2'(x11179))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11179))))))))))))))))))))))))))))))))), x11179 >= 0
   2'(z) -{ 2 }-> 2'(1'(2'(1'(3'(2'(1'(2'(3'(2'(3'(3'(0'(0'(3'(1'(2'(1'(0'(1'(1'(1'(3'(3'(2'(3'(0'(1'(2'(1'(1'(1'(1'(1'(3'(x11175))))))))))))))))))))))))))))))))))) :|: x11175 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11175)))))))))))))))))))))))))))))))))
   2'(z) -{ 1 }-> 2'(1'(2'(1'(3'(2'(1'(2'(3'(2'(3'(3'(0'(0'(3'(1'(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'(1'(3'(2'(1'(2'(3'(2'(3'(3'(0'(0'(3'(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
   2'(z) -{ 1 }-> 2'(1'(0'(3'(0'(3'(0'(3'(3'(3'(0'(0'(0'(0'(2'(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
   2'(z) -{ 1 }-> 2'(0'(2'(2'(0'(2'(1'(0'(3'(2'(2'(1'(1'(3'(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
   2'(z) -{ 1 }-> 2'(0'(1'(2'(0'(0'(3'(2'(2'(1'(1'(1'(1'(2'(2'(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
   2'(z) -{ 2 }-> 2'(0'(0'(3'(3'(2'(2'(1'(0'(1'(0'(1'(0'(3'(2'(1'(0'(1'(3'(2'(1'(2'(2'(3'(3'(3'(2'(1'(3'(2'(0'(0'(2'(2'(2'(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
   2'(z) -{ 2 }-> 2'(0'(0'(3'(3'(2'(2'(1'(0'(1'(0'(1'(0'(3'(2'(1'(0'(1'(2'(2'(1'(2'(1'(2'(0'(2'(3'(2'(2'(0'(0'(3'(3'(3'(3'(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
   2'(z) -{ 2 }-> 2'(0'(0'(3'(3'(2'(2'(1'(0'(1'(0'(1'(0'(3'(2'(1'(0'(1'(2'(2'(0'(0'(1'(1'(0'(0'(2'(2'(2'(2'(1'(2'(0'(0'(3'(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
   2'(z) -{ 2 }-> 2'(0'(0'(3'(3'(2'(2'(1'(0'(1'(0'(1'(0'(3'(2'(1'(0'(1'(2'(1'(3'(3'(0'(3'(0'(3'(1'(0'(2'(2'(3'(1'(0'(2'(1'(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
   2'(z) -{ 2 }-> 2'(0'(0'(3'(3'(2'(2'(1'(0'(1'(0'(1'(0'(3'(2'(1'(0'(1'(2'(1'(1'(1'(3'(0'(3'(0'(3'(1'(0'(3'(2'(2'(0'(3'(1'(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
   2'(z) -{ 2 }-> 2'(0'(0'(3'(3'(2'(2'(1'(0'(1'(0'(1'(0'(3'(2'(1'(0'(1'(1'(2'(2'(3'(2'(1'(0'(0'(3'(2'(3'(0'(0'(0'(1'(1'(2'(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
   2'(z) -{ 2 }-> 2'(0'(0'(3'(3'(2'(2'(1'(0'(1'(0'(1'(0'(3'(2'(1'(0'(1'(1'(2'(1'(1'(3'(0'(3'(3'(2'(1'(2'(0'(3'(1'(1'(3'(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
   2'(z) -{ 2 }-> 2'(0'(0'(3'(3'(2'(2'(1'(0'(1'(0'(1'(0'(3'(2'(1'(0'(1'(1'(2'(1'(1'(0'(0'(2'(3'(0'(0'(0'(0'(1'(1'(0'(0'(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
   2'(z) -{ 2 }-> 2'(0'(0'(3'(3'(2'(2'(1'(0'(1'(0'(1'(0'(3'(2'(1'(0'(1'(1'(2'(1'(0'(1'(2'(3'(3'(0'(3'(0'(3'(2'(2'(1'(2'(3'(x1897))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1897))))))))))))))))))))))))))))))))), x1897 >= 0
   2'(z) -{ 2 }-> 2'(0'(0'(3'(3'(2'(2'(1'(0'(1'(0'(1'(0'(3'(2'(1'(0'(1'(1'(1'(2'(1'(3'(0'(0'(3'(3'(3'(0'(1'(1'(3'(3'(1'(3'(x1894))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1894))))))))))))))))))))))))))))))))), x1894 >= 0
   2'(z) -{ 2 }-> 2'(0'(0'(3'(3'(2'(2'(1'(0'(1'(0'(1'(0'(3'(2'(1'(0'(1'(0'(2'(3'(3'(3'(3'(0'(2'(0'(3'(1'(0'(3'(1'(2'(1'(2'(x1890))))))))))))))))))))))))))))))))))) :|: x1890 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1890)))))))))))))))))))))))))))))))))
   2'(z) -{ 2 }-> 2'(0'(0'(3'(3'(2'(2'(1'(0'(1'(0'(1'(0'(3'(2'(1'(0'(1'(0'(1'(1'(2'(2'(0'(3'(3'(0'(1'(0'(1'(2'(2'(3'(0'(2'(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
   2'(z) -{ 2 }-> 2'(0'(0'(3'(3'(2'(2'(1'(0'(1'(0'(1'(0'(3'(2'(1'(0'(1'(0'(1'(1'(1'(3'(3'(2'(3'(0'(1'(2'(1'(1'(1'(1'(1'(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
   2'(z) -{ 1 }-> 2'(0'(0'(3'(3'(2'(2'(1'(0'(1'(0'(1'(0'(3'(2'(1'(0'(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'(0'(0'(3'(3'(2'(2'(1'(0'(1'(0'(1'(0'(3'(2'(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
   2'(z) -{ 1 }-> 2'(0'(0'(2'(3'(0'(3'(3'(0'(3'(2'(0'(1'(2'(2'(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
   2'(z) -{ 1 }-> 0'(3'(1'(0'(2'(2'(1'(2'(2'(1'(3'(3'(3'(1'(0'(2'(3'(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) -{ 2 }-> 0'(2'(2'(3'(3'(1'(1'(2'(0'(2'(1'(1'(2'(1'(0'(1'(2'(1'(3'(2'(1'(2'(2'(3'(3'(3'(2'(1'(3'(2'(0'(0'(2'(2'(2'(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)))))))))))))))))))))))))))))))))
   2'(z) -{ 2 }-> 0'(2'(2'(3'(3'(1'(1'(2'(0'(2'(1'(1'(2'(1'(0'(1'(2'(1'(2'(2'(1'(2'(1'(2'(0'(2'(3'(2'(2'(0'(0'(3'(3'(3'(3'(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
   2'(z) -{ 2 }-> 0'(2'(2'(3'(3'(1'(1'(2'(0'(2'(1'(1'(2'(1'(0'(1'(2'(1'(2'(2'(0'(0'(1'(1'(0'(0'(2'(2'(2'(2'(1'(2'(0'(0'(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)))))))))))))))))))))))))))))))))
   2'(z) -{ 2 }-> 0'(2'(2'(3'(3'(1'(1'(2'(0'(2'(1'(1'(2'(1'(0'(1'(2'(1'(2'(1'(3'(3'(0'(3'(0'(3'(1'(0'(2'(2'(3'(1'(0'(2'(1'(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)))))))))))))))))))))))))))))))))
   2'(z) -{ 2 }-> 0'(2'(2'(3'(3'(1'(1'(2'(0'(2'(1'(1'(2'(1'(0'(1'(2'(1'(2'(1'(1'(1'(3'(0'(3'(0'(3'(1'(0'(3'(2'(2'(0'(3'(1'(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
   2'(z) -{ 2 }-> 0'(2'(2'(3'(3'(1'(1'(2'(0'(2'(1'(1'(2'(1'(0'(1'(2'(1'(1'(2'(2'(3'(2'(1'(0'(0'(3'(2'(3'(0'(0'(0'(1'(1'(2'(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
   2'(z) -{ 2 }-> 0'(2'(2'(3'(3'(1'(1'(2'(0'(2'(1'(1'(2'(1'(0'(1'(2'(1'(1'(2'(1'(1'(3'(0'(3'(3'(2'(1'(2'(0'(3'(1'(1'(3'(0'(x1116))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1116))))))))))))))))))))))))))))))))), x1116 >= 0
   2'(z) -{ 2 }-> 0'(2'(2'(3'(3'(1'(1'(2'(0'(2'(1'(1'(2'(1'(0'(1'(2'(1'(1'(2'(1'(1'(0'(0'(2'(3'(0'(0'(0'(0'(1'(1'(0'(0'(2'(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
   2'(z) -{ 2 }-> 0'(2'(2'(3'(3'(1'(1'(2'(0'(2'(1'(1'(2'(1'(0'(1'(2'(1'(1'(2'(1'(0'(1'(2'(3'(3'(0'(3'(0'(3'(2'(2'(1'(2'(3'(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
   2'(z) -{ 2 }-> 0'(2'(2'(3'(3'(1'(1'(2'(0'(2'(1'(1'(2'(1'(0'(1'(2'(1'(1'(1'(2'(1'(3'(0'(0'(3'(3'(3'(0'(1'(1'(3'(3'(1'(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)))))))))))))))))))))))))))))))))
   2'(z) -{ 2 }-> 0'(2'(2'(3'(3'(1'(1'(2'(0'(2'(1'(1'(2'(1'(0'(1'(2'(1'(0'(2'(3'(3'(3'(3'(0'(2'(0'(3'(1'(0'(3'(1'(2'(1'(2'(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
   2'(z) -{ 2 }-> 0'(2'(2'(3'(3'(1'(1'(2'(0'(2'(1'(1'(2'(1'(0'(1'(2'(1'(0'(1'(1'(2'(2'(0'(3'(3'(0'(1'(0'(1'(2'(2'(3'(0'(2'(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
   2'(z) -{ 2 }-> 0'(2'(2'(3'(3'(1'(1'(2'(0'(2'(1'(1'(2'(1'(0'(1'(2'(1'(0'(1'(1'(1'(3'(3'(2'(3'(0'(1'(2'(1'(1'(1'(1'(1'(3'(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
   2'(z) -{ 1 }-> 0'(2'(2'(3'(3'(1'(1'(2'(0'(2'(1'(1'(2'(1'(0'(1'(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 }-> 0'(2'(2'(3'(3'(1'(1'(2'(0'(2'(1'(1'(2'(1'(0'(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
   2'(z) -{ 1 }-> 0'(2'(2'(2'(0'(2'(1'(0'(0'(3'(0'(0'(1'(2'(2'(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
   2'(z) -{ 1 }-> 0'(2'(2'(1'(1'(1'(2'(1'(0'(3'(3'(2'(2'(1'(1'(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 }-> 0'(2'(1'(1'(2'(2'(0'(3'(3'(0'(1'(1'(2'(2'(1'(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
   2'(z) -{ 1 }-> 0'(2'(0'(3'(3'(3'(2'(1'(3'(0'(3'(3'(3'(3'(1'(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
   2'(z) -{ 1 }-> 0'(2'(0'(3'(2'(3'(2'(1'(0'(2'(0'(2'(1'(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
   2'(z) -{ 1 }-> 0'(1'(2'(1'(0'(1'(2'(1'(0'(0'(1'(1'(2'(3'(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
   2'(z) -{ 1 }-> 0'(0'(3'(0'(3'(2'(1'(2'(1'(2'(2'(1'(2'(0'(0'(0'(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) -{ 0 }-> 0 :|: v0 >= 0, z = v0
   2'(z) -{ 0 }-> 1 + x0 :|: z = x0, x0 >= 0
   3'(z) -{ 1 }-> 3'(3'(3'(2'(3'(2'(2'(0'(2'(2'(1'(0'(3'(2'(1'(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
   3'(z) -{ 1 }-> 3'(3'(3'(1'(1'(3'(1'(3'(3'(3'(2'(3'(0'(3'(1'(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) -{ 2 }-> 3'(3'(1'(2'(2'(3'(0'(1'(0'(3'(3'(3'(1'(1'(1'(3'(3'(1'(3'(2'(1'(2'(2'(3'(3'(3'(2'(1'(3'(2'(0'(0'(2'(2'(2'(x1385))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1385))))))))))))))))))))))))))))))))), x1385 >= 0
   3'(z) -{ 2 }-> 3'(3'(1'(2'(2'(3'(0'(1'(0'(3'(3'(3'(1'(1'(1'(3'(3'(1'(2'(2'(1'(2'(1'(2'(0'(2'(3'(2'(2'(0'(0'(3'(3'(3'(3'(x1384))))))))))))))))))))))))))))))))))) :|: x1384 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1384)))))))))))))))))))))))))))))))))
   3'(z) -{ 2 }-> 3'(3'(1'(2'(2'(3'(0'(1'(0'(3'(3'(3'(1'(1'(1'(3'(3'(1'(2'(2'(0'(0'(1'(1'(0'(0'(2'(2'(2'(2'(1'(2'(0'(0'(3'(x1388))))))))))))))))))))))))))))))))))) :|: x1388 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1388)))))))))))))))))))))))))))))))))
   3'(z) -{ 2 }-> 3'(3'(1'(2'(2'(3'(0'(1'(0'(3'(3'(3'(1'(1'(1'(3'(3'(1'(2'(1'(3'(3'(0'(3'(0'(3'(1'(0'(2'(2'(3'(1'(0'(2'(1'(x1382))))))))))))))))))))))))))))))))))) :|: x1382 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1382)))))))))))))))))))))))))))))))))
   3'(z) -{ 2 }-> 3'(3'(1'(2'(2'(3'(0'(1'(0'(3'(3'(3'(1'(1'(1'(3'(3'(1'(2'(1'(1'(1'(3'(0'(3'(0'(3'(1'(0'(3'(2'(2'(0'(3'(1'(x1387))))))))))))))))))))))))))))))))))) :|: x1387 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1387)))))))))))))))))))))))))))))))))
   3'(z) -{ 2 }-> 3'(3'(1'(2'(2'(3'(0'(1'(0'(3'(3'(3'(1'(1'(1'(3'(3'(1'(1'(2'(2'(3'(2'(1'(0'(0'(3'(2'(3'(0'(0'(0'(1'(1'(2'(x1378))))))))))))))))))))))))))))))))))) :|: x1378 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1378)))))))))))))))))))))))))))))))))
   3'(z) -{ 2 }-> 3'(3'(1'(2'(2'(3'(0'(1'(0'(3'(3'(3'(1'(1'(1'(3'(3'(1'(1'(2'(1'(1'(3'(0'(3'(3'(2'(1'(2'(0'(3'(1'(1'(3'(0'(x1376))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1376))))))))))))))))))))))))))))))))), x1376 >= 0
   3'(z) -{ 2 }-> 3'(3'(1'(2'(2'(3'(0'(1'(0'(3'(3'(3'(1'(1'(1'(3'(3'(1'(1'(2'(1'(1'(0'(0'(2'(3'(0'(0'(0'(0'(1'(1'(0'(0'(2'(x1380))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1380))))))))))))))))))))))))))))))))), x1380 >= 0
   3'(z) -{ 2 }-> 3'(3'(1'(2'(2'(3'(0'(1'(0'(3'(3'(3'(1'(1'(1'(3'(3'(1'(1'(2'(1'(0'(1'(2'(3'(3'(0'(3'(0'(3'(2'(2'(1'(2'(3'(x1386))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1386))))))))))))))))))))))))))))))))), x1386 >= 0
   3'(z) -{ 2 }-> 3'(3'(1'(2'(2'(3'(0'(1'(0'(3'(3'(3'(1'(1'(1'(3'(3'(1'(1'(1'(2'(1'(3'(0'(0'(3'(3'(3'(0'(1'(1'(3'(3'(1'(3'(x1383))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1383))))))))))))))))))))))))))))))))), x1383 >= 0
   3'(z) -{ 2 }-> 3'(3'(1'(2'(2'(3'(0'(1'(0'(3'(3'(3'(1'(1'(1'(3'(3'(1'(0'(2'(3'(3'(3'(3'(0'(2'(0'(3'(1'(0'(3'(1'(2'(1'(2'(x1379))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1379))))))))))))))))))))))))))))))))), x1379 >= 0
   3'(z) -{ 2 }-> 3'(3'(1'(2'(2'(3'(0'(1'(0'(3'(3'(3'(1'(1'(1'(3'(3'(1'(0'(1'(1'(2'(2'(0'(3'(3'(0'(1'(0'(1'(2'(2'(3'(0'(2'(x1381))))))))))))))))))))))))))))))))))) :|: x1381 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1381)))))))))))))))))))))))))))))))))
   3'(z) -{ 2 }-> 3'(3'(1'(2'(2'(3'(0'(1'(0'(3'(3'(3'(1'(1'(1'(3'(3'(1'(0'(1'(1'(1'(3'(3'(2'(3'(0'(1'(2'(1'(1'(1'(1'(1'(3'(x1377))))))))))))))))))))))))))))))))))) :|: x1377 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1377)))))))))))))))))))))))))))))))))
   3'(z) -{ 1 }-> 3'(3'(1'(2'(2'(3'(0'(1'(0'(3'(3'(3'(1'(1'(1'(3'(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 }-> 3'(3'(1'(2'(2'(3'(0'(1'(0'(3'(3'(3'(1'(1'(1'(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
   3'(z) -{ 2 }-> 3'(3'(1'(1'(1'(0'(1'(2'(1'(1'(1'(2'(2'(3'(0'(1'(0'(1'(3'(2'(1'(2'(2'(3'(3'(3'(2'(1'(3'(2'(0'(0'(2'(2'(2'(x11268))))))))))))))))))))))))))))))))))) :|: x11268 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11268)))))))))))))))))))))))))))))))))
   3'(z) -{ 2 }-> 3'(3'(1'(1'(1'(0'(1'(2'(1'(1'(1'(2'(2'(3'(0'(1'(0'(1'(2'(2'(1'(2'(1'(2'(0'(2'(3'(2'(2'(0'(0'(3'(3'(3'(3'(x11267))))))))))))))))))))))))))))))))))) :|: x11267 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11267)))))))))))))))))))))))))))))))))
   3'(z) -{ 2 }-> 3'(3'(1'(1'(1'(0'(1'(2'(1'(1'(1'(2'(2'(3'(0'(1'(0'(1'(2'(2'(0'(0'(1'(1'(0'(0'(2'(2'(2'(2'(1'(2'(0'(0'(3'(x11271))))))))))))))))))))))))))))))))))) :|: x11271 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11271)))))))))))))))))))))))))))))))))
   3'(z) -{ 2 }-> 3'(3'(1'(1'(1'(0'(1'(2'(1'(1'(1'(2'(2'(3'(0'(1'(0'(1'(2'(1'(3'(3'(0'(3'(0'(3'(1'(0'(2'(2'(3'(1'(0'(2'(1'(x11265))))))))))))))))))))))))))))))))))) :|: x11265 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11265)))))))))))))))))))))))))))))))))
   3'(z) -{ 2 }-> 3'(3'(1'(1'(1'(0'(1'(2'(1'(1'(1'(2'(2'(3'(0'(1'(0'(1'(2'(1'(1'(1'(3'(0'(3'(0'(3'(1'(0'(3'(2'(2'(0'(3'(1'(x11270))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11270))))))))))))))))))))))))))))))))), x11270 >= 0
   3'(z) -{ 2 }-> 3'(3'(1'(1'(1'(0'(1'(2'(1'(1'(1'(2'(2'(3'(0'(1'(0'(1'(1'(2'(2'(3'(2'(1'(0'(0'(3'(2'(3'(0'(0'(0'(1'(1'(2'(x11261))))))))))))))))))))))))))))))))))) :|: x11261 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11261)))))))))))))))))))))))))))))))))
   3'(z) -{ 2 }-> 3'(3'(1'(1'(1'(0'(1'(2'(1'(1'(1'(2'(2'(3'(0'(1'(0'(1'(1'(2'(1'(1'(3'(0'(3'(3'(2'(1'(2'(0'(3'(1'(1'(3'(0'(x11259))))))))))))))))))))))))))))))))))) :|: x11259 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11259)))))))))))))))))))))))))))))))))
   3'(z) -{ 2 }-> 3'(3'(1'(1'(1'(0'(1'(2'(1'(1'(1'(2'(2'(3'(0'(1'(0'(1'(1'(2'(1'(1'(0'(0'(2'(3'(0'(0'(0'(0'(1'(1'(0'(0'(2'(x11263))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11263))))))))))))))))))))))))))))))))), x11263 >= 0
   3'(z) -{ 2 }-> 3'(3'(1'(1'(1'(0'(1'(2'(1'(1'(1'(2'(2'(3'(0'(1'(0'(1'(1'(2'(1'(0'(1'(2'(3'(3'(0'(3'(0'(3'(2'(2'(1'(2'(3'(x11269))))))))))))))))))))))))))))))))))) :|: x11269 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11269)))))))))))))))))))))))))))))))))
   3'(z) -{ 2 }-> 3'(3'(1'(1'(1'(0'(1'(2'(1'(1'(1'(2'(2'(3'(0'(1'(0'(1'(1'(1'(2'(1'(3'(0'(0'(3'(3'(3'(0'(1'(1'(3'(3'(1'(3'(x11266))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11266))))))))))))))))))))))))))))))))), x11266 >= 0
   3'(z) -{ 2 }-> 3'(3'(1'(1'(1'(0'(1'(2'(1'(1'(1'(2'(2'(3'(0'(1'(0'(1'(0'(2'(3'(3'(3'(3'(0'(2'(0'(3'(1'(0'(3'(1'(2'(1'(2'(x11262))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11262))))))))))))))))))))))))))))))))), x11262 >= 0
   3'(z) -{ 2 }-> 3'(3'(1'(1'(1'(0'(1'(2'(1'(1'(1'(2'(2'(3'(0'(1'(0'(1'(0'(1'(1'(2'(2'(0'(3'(3'(0'(1'(0'(1'(2'(2'(3'(0'(2'(x11264))))))))))))))))))))))))))))))))))) :|: x11264 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11264)))))))))))))))))))))))))))))))))
   3'(z) -{ 2 }-> 3'(3'(1'(1'(1'(0'(1'(2'(1'(1'(1'(2'(2'(3'(0'(1'(0'(1'(0'(1'(1'(1'(3'(3'(2'(3'(0'(1'(2'(1'(1'(1'(1'(1'(3'(x11260))))))))))))))))))))))))))))))))))) :|: x11260 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11260)))))))))))))))))))))))))))))))))
   3'(z) -{ 1 }-> 3'(3'(1'(1'(1'(0'(1'(2'(1'(1'(1'(2'(2'(3'(0'(1'(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'(3'(1'(1'(1'(0'(1'(2'(1'(1'(1'(2'(2'(3'(0'(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
   3'(z) -{ 1 }-> 3'(2'(0'(3'(2'(0'(0'(0'(3'(0'(3'(2'(2'(2'(1'(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) -{ 2 }-> 3'(1'(3'(3'(1'(2'(0'(1'(1'(2'(2'(1'(3'(3'(2'(3'(1'(1'(3'(2'(1'(2'(2'(3'(3'(3'(2'(1'(3'(2'(0'(0'(2'(2'(2'(x11521))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11521))))))))))))))))))))))))))))))))), x11521 >= 0
   3'(z) -{ 2 }-> 3'(1'(3'(3'(1'(2'(0'(1'(1'(2'(2'(1'(3'(3'(2'(3'(1'(1'(2'(2'(1'(2'(1'(2'(0'(2'(3'(2'(2'(0'(0'(3'(3'(3'(3'(x11520))))))))))))))))))))))))))))))))))) :|: x11520 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11520)))))))))))))))))))))))))))))))))
   3'(z) -{ 2 }-> 3'(1'(3'(3'(1'(2'(0'(1'(1'(2'(2'(1'(3'(3'(2'(3'(1'(1'(2'(2'(0'(0'(1'(1'(0'(0'(2'(2'(2'(2'(1'(2'(0'(0'(3'(x11524))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11524))))))))))))))))))))))))))))))))), x11524 >= 0
   3'(z) -{ 2 }-> 3'(1'(3'(3'(1'(2'(0'(1'(1'(2'(2'(1'(3'(3'(2'(3'(1'(1'(2'(1'(3'(3'(0'(3'(0'(3'(1'(0'(2'(2'(3'(1'(0'(2'(1'(x11518))))))))))))))))))))))))))))))))))) :|: x11518 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11518)))))))))))))))))))))))))))))))))
   3'(z) -{ 2 }-> 3'(1'(3'(3'(1'(2'(0'(1'(1'(2'(2'(1'(3'(3'(2'(3'(1'(1'(2'(1'(1'(1'(3'(0'(3'(0'(3'(1'(0'(3'(2'(2'(0'(3'(1'(x11523))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11523))))))))))))))))))))))))))))))))), x11523 >= 0
   3'(z) -{ 2 }-> 3'(1'(3'(3'(1'(2'(0'(1'(1'(2'(2'(1'(3'(3'(2'(3'(1'(1'(1'(2'(2'(3'(2'(1'(0'(0'(3'(2'(3'(0'(0'(0'(1'(1'(2'(x11514))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11514))))))))))))))))))))))))))))))))), x11514 >= 0
   3'(z) -{ 2 }-> 3'(1'(3'(3'(1'(2'(0'(1'(1'(2'(2'(1'(3'(3'(2'(3'(1'(1'(1'(2'(1'(1'(3'(0'(3'(3'(2'(1'(2'(0'(3'(1'(1'(3'(0'(x11512))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11512))))))))))))))))))))))))))))))))), x11512 >= 0
   3'(z) -{ 2 }-> 3'(1'(3'(3'(1'(2'(0'(1'(1'(2'(2'(1'(3'(3'(2'(3'(1'(1'(1'(2'(1'(1'(0'(0'(2'(3'(0'(0'(0'(0'(1'(1'(0'(0'(2'(x11516))))))))))))))))))))))))))))))))))) :|: x11516 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11516)))))))))))))))))))))))))))))))))
   3'(z) -{ 2 }-> 3'(1'(3'(3'(1'(2'(0'(1'(1'(2'(2'(1'(3'(3'(2'(3'(1'(1'(1'(2'(1'(0'(1'(2'(3'(3'(0'(3'(0'(3'(2'(2'(1'(2'(3'(x11522))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11522))))))))))))))))))))))))))))))))), x11522 >= 0
   3'(z) -{ 2 }-> 3'(1'(3'(3'(1'(2'(0'(1'(1'(2'(2'(1'(3'(3'(2'(3'(1'(1'(1'(1'(2'(1'(3'(0'(0'(3'(3'(3'(0'(1'(1'(3'(3'(1'(3'(x11519))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11519))))))))))))))))))))))))))))))))), x11519 >= 0
   3'(z) -{ 2 }-> 3'(1'(3'(3'(1'(2'(0'(1'(1'(2'(2'(1'(3'(3'(2'(3'(1'(1'(0'(2'(3'(3'(3'(3'(0'(2'(0'(3'(1'(0'(3'(1'(2'(1'(2'(x11515))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11515))))))))))))))))))))))))))))))))), x11515 >= 0
   3'(z) -{ 2 }-> 3'(1'(3'(3'(1'(2'(0'(1'(1'(2'(2'(1'(3'(3'(2'(3'(1'(1'(0'(1'(1'(2'(2'(0'(3'(3'(0'(1'(0'(1'(2'(2'(3'(0'(2'(x11517))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11517))))))))))))))))))))))))))))))))), x11517 >= 0
   3'(z) -{ 2 }-> 3'(1'(3'(3'(1'(2'(0'(1'(1'(2'(2'(1'(3'(3'(2'(3'(1'(1'(0'(1'(1'(1'(3'(3'(2'(3'(0'(1'(2'(1'(1'(1'(1'(1'(3'(x11513))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11513))))))))))))))))))))))))))))))))), x11513 >= 0
   3'(z) -{ 1 }-> 3'(1'(3'(3'(1'(2'(0'(1'(1'(2'(2'(1'(3'(3'(2'(3'(1'(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'(1'(3'(3'(1'(2'(0'(1'(1'(2'(2'(1'(3'(3'(2'(3'(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) -{ 2 }-> 3'(1'(1'(1'(2'(2'(1'(3'(2'(3'(2'(2'(1'(1'(2'(0'(2'(1'(3'(2'(1'(2'(2'(3'(3'(3'(2'(1'(3'(2'(0'(0'(2'(2'(2'(x11473))))))))))))))))))))))))))))))))))) :|: x11473 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11473)))))))))))))))))))))))))))))))))
   3'(z) -{ 2 }-> 3'(1'(1'(1'(2'(2'(1'(3'(2'(3'(2'(2'(1'(1'(2'(0'(2'(1'(2'(2'(1'(2'(1'(2'(0'(2'(3'(2'(2'(0'(0'(3'(3'(3'(3'(x11472))))))))))))))))))))))))))))))))))) :|: x11472 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11472)))))))))))))))))))))))))))))))))
   3'(z) -{ 2 }-> 3'(1'(1'(1'(2'(2'(1'(3'(2'(3'(2'(2'(1'(1'(2'(0'(2'(1'(2'(2'(0'(0'(1'(1'(0'(0'(2'(2'(2'(2'(1'(2'(0'(0'(3'(x11476))))))))))))))))))))))))))))))))))) :|: x11476 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11476)))))))))))))))))))))))))))))))))
   3'(z) -{ 2 }-> 3'(1'(1'(1'(2'(2'(1'(3'(2'(3'(2'(2'(1'(1'(2'(0'(2'(1'(2'(1'(3'(3'(0'(3'(0'(3'(1'(0'(2'(2'(3'(1'(0'(2'(1'(x11470))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11470))))))))))))))))))))))))))))))))), x11470 >= 0
   3'(z) -{ 2 }-> 3'(1'(1'(1'(2'(2'(1'(3'(2'(3'(2'(2'(1'(1'(2'(0'(2'(1'(2'(1'(1'(1'(3'(0'(3'(0'(3'(1'(0'(3'(2'(2'(0'(3'(1'(x11475))))))))))))))))))))))))))))))))))) :|: x11475 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11475)))))))))))))))))))))))))))))))))
   3'(z) -{ 2 }-> 3'(1'(1'(1'(2'(2'(1'(3'(2'(3'(2'(2'(1'(1'(2'(0'(2'(1'(1'(2'(2'(3'(2'(1'(0'(0'(3'(2'(3'(0'(0'(0'(1'(1'(2'(x11466))))))))))))))))))))))))))))))))))) :|: x11466 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11466)))))))))))))))))))))))))))))))))
   3'(z) -{ 2 }-> 3'(1'(1'(1'(2'(2'(1'(3'(2'(3'(2'(2'(1'(1'(2'(0'(2'(1'(1'(2'(1'(1'(3'(0'(3'(3'(2'(1'(2'(0'(3'(1'(1'(3'(0'(x11464))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11464))))))))))))))))))))))))))))))))), x11464 >= 0
   3'(z) -{ 2 }-> 3'(1'(1'(1'(2'(2'(1'(3'(2'(3'(2'(2'(1'(1'(2'(0'(2'(1'(1'(2'(1'(1'(0'(0'(2'(3'(0'(0'(0'(0'(1'(1'(0'(0'(2'(x11468))))))))))))))))))))))))))))))))))) :|: x11468 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11468)))))))))))))))))))))))))))))))))
   3'(z) -{ 2 }-> 3'(1'(1'(1'(2'(2'(1'(3'(2'(3'(2'(2'(1'(1'(2'(0'(2'(1'(1'(2'(1'(0'(1'(2'(3'(3'(0'(3'(0'(3'(2'(2'(1'(2'(3'(x11474))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11474))))))))))))))))))))))))))))))))), x11474 >= 0
   3'(z) -{ 2 }-> 3'(1'(1'(1'(2'(2'(1'(3'(2'(3'(2'(2'(1'(1'(2'(0'(2'(1'(1'(1'(2'(1'(3'(0'(0'(3'(3'(3'(0'(1'(1'(3'(3'(1'(3'(x11471))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11471))))))))))))))))))))))))))))))))), x11471 >= 0
   3'(z) -{ 2 }-> 3'(1'(1'(1'(2'(2'(1'(3'(2'(3'(2'(2'(1'(1'(2'(0'(2'(1'(0'(2'(3'(3'(3'(3'(0'(2'(0'(3'(1'(0'(3'(1'(2'(1'(2'(x11467))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11467))))))))))))))))))))))))))))))))), x11467 >= 0
   3'(z) -{ 2 }-> 3'(1'(1'(1'(2'(2'(1'(3'(2'(3'(2'(2'(1'(1'(2'(0'(2'(1'(0'(1'(1'(2'(2'(0'(3'(3'(0'(1'(0'(1'(2'(2'(3'(0'(2'(x11469))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11469))))))))))))))))))))))))))))))))), x11469 >= 0
   3'(z) -{ 2 }-> 3'(1'(1'(1'(2'(2'(1'(3'(2'(3'(2'(2'(1'(1'(2'(0'(2'(1'(0'(1'(1'(1'(3'(3'(2'(3'(0'(1'(2'(1'(1'(1'(1'(1'(3'(x11465))))))))))))))))))))))))))))))))))) :|: x11465 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11465)))))))))))))))))))))))))))))))))
   3'(z) -{ 1 }-> 3'(1'(1'(1'(2'(2'(1'(3'(2'(3'(2'(2'(1'(1'(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
   3'(z) -{ 1 }-> 3'(1'(1'(1'(2'(2'(1'(3'(2'(3'(2'(2'(1'(1'(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
   3'(z) -{ 2 }-> 3'(1'(0'(3'(1'(1'(0'(2'(2'(2'(3'(1'(2'(1'(1'(3'(3'(1'(3'(2'(1'(2'(2'(3'(3'(3'(2'(1'(3'(2'(0'(0'(2'(2'(2'(x1649))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1649))))))))))))))))))))))))))))))))), x1649 >= 0
   3'(z) -{ 2 }-> 3'(1'(0'(3'(1'(1'(0'(2'(2'(2'(3'(1'(2'(1'(1'(3'(3'(1'(2'(2'(1'(2'(1'(2'(0'(2'(3'(2'(2'(0'(0'(3'(3'(3'(3'(x1648))))))))))))))))))))))))))))))))))) :|: x1648 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1648)))))))))))))))))))))))))))))))))
   3'(z) -{ 2 }-> 3'(1'(0'(3'(1'(1'(0'(2'(2'(2'(3'(1'(2'(1'(1'(3'(3'(1'(2'(2'(0'(0'(1'(1'(0'(0'(2'(2'(2'(2'(1'(2'(0'(0'(3'(x1652))))))))))))))))))))))))))))))))))) :|: x1652 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1652)))))))))))))))))))))))))))))))))
   3'(z) -{ 2 }-> 3'(1'(0'(3'(1'(1'(0'(2'(2'(2'(3'(1'(2'(1'(1'(3'(3'(1'(2'(1'(3'(3'(0'(3'(0'(3'(1'(0'(2'(2'(3'(1'(0'(2'(1'(x1646))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1646))))))))))))))))))))))))))))))))), x1646 >= 0
   3'(z) -{ 2 }-> 3'(1'(0'(3'(1'(1'(0'(2'(2'(2'(3'(1'(2'(1'(1'(3'(3'(1'(2'(1'(1'(1'(3'(0'(3'(0'(3'(1'(0'(3'(2'(2'(0'(3'(1'(x1651))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1651))))))))))))))))))))))))))))))))), x1651 >= 0
   3'(z) -{ 2 }-> 3'(1'(0'(3'(1'(1'(0'(2'(2'(2'(3'(1'(2'(1'(1'(3'(3'(1'(1'(2'(2'(3'(2'(1'(0'(0'(3'(2'(3'(0'(0'(0'(1'(1'(2'(x1642))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1642))))))))))))))))))))))))))))))))), x1642 >= 0
   3'(z) -{ 2 }-> 3'(1'(0'(3'(1'(1'(0'(2'(2'(2'(3'(1'(2'(1'(1'(3'(3'(1'(1'(2'(1'(1'(3'(0'(3'(3'(2'(1'(2'(0'(3'(1'(1'(3'(0'(x1640))))))))))))))))))))))))))))))))))) :|: x1640 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1640)))))))))))))))))))))))))))))))))
   3'(z) -{ 2 }-> 3'(1'(0'(3'(1'(1'(0'(2'(2'(2'(3'(1'(2'(1'(1'(3'(3'(1'(1'(2'(1'(1'(0'(0'(2'(3'(0'(0'(0'(0'(1'(1'(0'(0'(2'(x1644))))))))))))))))))))))))))))))))))) :|: x1644 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1644)))))))))))))))))))))))))))))))))
   3'(z) -{ 2 }-> 3'(1'(0'(3'(1'(1'(0'(2'(2'(2'(3'(1'(2'(1'(1'(3'(3'(1'(1'(2'(1'(0'(1'(2'(3'(3'(0'(3'(0'(3'(2'(2'(1'(2'(3'(x1650))))))))))))))))))))))))))))))))))) :|: x1650 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1650)))))))))))))))))))))))))))))))))
   3'(z) -{ 2 }-> 3'(1'(0'(3'(1'(1'(0'(2'(2'(2'(3'(1'(2'(1'(1'(3'(3'(1'(1'(1'(2'(1'(3'(0'(0'(3'(3'(3'(0'(1'(1'(3'(3'(1'(3'(x1647))))))))))))))))))))))))))))))))))) :|: x1647 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1647)))))))))))))))))))))))))))))))))
   3'(z) -{ 2 }-> 3'(1'(0'(3'(1'(1'(0'(2'(2'(2'(3'(1'(2'(1'(1'(3'(3'(1'(0'(2'(3'(3'(3'(3'(0'(2'(0'(3'(1'(0'(3'(1'(2'(1'(2'(x1643))))))))))))))))))))))))))))))))))) :|: x1643 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1643)))))))))))))))))))))))))))))))))
   3'(z) -{ 2 }-> 3'(1'(0'(3'(1'(1'(0'(2'(2'(2'(3'(1'(2'(1'(1'(3'(3'(1'(0'(1'(1'(2'(2'(0'(3'(3'(0'(1'(0'(1'(2'(2'(3'(0'(2'(x1645))))))))))))))))))))))))))))))))))) :|: x1645 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1645)))))))))))))))))))))))))))))))))
   3'(z) -{ 2 }-> 3'(1'(0'(3'(1'(1'(0'(2'(2'(2'(3'(1'(2'(1'(1'(3'(3'(1'(0'(1'(1'(1'(3'(3'(2'(3'(0'(1'(2'(1'(1'(1'(1'(1'(3'(x1641))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1641))))))))))))))))))))))))))))))))), x1641 >= 0
   3'(z) -{ 1 }-> 3'(1'(0'(3'(1'(1'(0'(2'(2'(2'(3'(1'(2'(1'(1'(3'(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 }-> 3'(1'(0'(3'(1'(1'(0'(2'(2'(2'(3'(1'(2'(1'(1'(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
   3'(z) -{ 1 }-> 3'(0'(3'(2'(2'(2'(0'(3'(3'(3'(2'(2'(3'(2'(1'(3'(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'(0'(2'(3'(2'(0'(3'(1'(2'(0'(2'(1'(0'(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
   3'(z) -{ 1 }-> 3'(0'(2'(1'(2'(3'(3'(0'(3'(1'(0'(1'(2'(3'(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
   3'(z) -{ 1 }-> 3'(0'(2'(0'(1'(2'(2'(0'(3'(0'(2'(0'(3'(0'(3'(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
   3'(z) -{ 1 }-> 3'(0'(0'(3'(0'(3'(0'(1'(2'(0'(3'(1'(3'(0'(3'(2'(2'(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'(0'(0'(0'(0'(0'(2'(0'(0'(0'(0'(3'(0'(2'(1'(1'(2'(1'(3'(2'(1'(2'(2'(3'(3'(3'(2'(1'(3'(2'(0'(0'(2'(2'(2'(x11567))))))))))))))))))))))))))))))))))) :|: x11567 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11567)))))))))))))))))))))))))))))))))
   3'(z) -{ 2 }-> 3'(0'(0'(0'(0'(0'(2'(0'(0'(0'(0'(3'(0'(2'(1'(1'(2'(1'(2'(2'(1'(2'(1'(2'(0'(2'(3'(2'(2'(0'(0'(3'(3'(3'(3'(x11566))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11566))))))))))))))))))))))))))))))))), x11566 >= 0
   3'(z) -{ 2 }-> 3'(0'(0'(0'(0'(0'(2'(0'(0'(0'(0'(3'(0'(2'(1'(1'(2'(1'(2'(2'(0'(0'(1'(1'(0'(0'(2'(2'(2'(2'(1'(2'(0'(0'(3'(x11570))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11570))))))))))))))))))))))))))))))))), x11570 >= 0
   3'(z) -{ 2 }-> 3'(0'(0'(0'(0'(0'(2'(0'(0'(0'(0'(3'(0'(2'(1'(1'(2'(1'(2'(1'(3'(3'(0'(3'(0'(3'(1'(0'(2'(2'(3'(1'(0'(2'(1'(x11564))))))))))))))))))))))))))))))))))) :|: x11564 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11564)))))))))))))))))))))))))))))))))
   3'(z) -{ 2 }-> 3'(0'(0'(0'(0'(0'(2'(0'(0'(0'(0'(3'(0'(2'(1'(1'(2'(1'(2'(1'(1'(1'(3'(0'(3'(0'(3'(1'(0'(3'(2'(2'(0'(3'(1'(x11569))))))))))))))))))))))))))))))))))) :|: x11569 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11569)))))))))))))))))))))))))))))))))
   3'(z) -{ 2 }-> 3'(0'(0'(0'(0'(0'(2'(0'(0'(0'(0'(3'(0'(2'(1'(1'(2'(1'(1'(2'(2'(3'(2'(1'(0'(0'(3'(2'(3'(0'(0'(0'(1'(1'(2'(x11560))))))))))))))))))))))))))))))))))) :|: x11560 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11560)))))))))))))))))))))))))))))))))
   3'(z) -{ 2 }-> 3'(0'(0'(0'(0'(0'(2'(0'(0'(0'(0'(3'(0'(2'(1'(1'(2'(1'(1'(2'(1'(1'(3'(0'(3'(3'(2'(1'(2'(0'(3'(1'(1'(3'(0'(x11558))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11558))))))))))))))))))))))))))))))))), x11558 >= 0
   3'(z) -{ 2 }-> 3'(0'(0'(0'(0'(0'(2'(0'(0'(0'(0'(3'(0'(2'(1'(1'(2'(1'(1'(2'(1'(1'(0'(0'(2'(3'(0'(0'(0'(0'(1'(1'(0'(0'(2'(x11562))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11562))))))))))))))))))))))))))))))))), x11562 >= 0
   3'(z) -{ 2 }-> 3'(0'(0'(0'(0'(0'(2'(0'(0'(0'(0'(3'(0'(2'(1'(1'(2'(1'(1'(2'(1'(0'(1'(2'(3'(3'(0'(3'(0'(3'(2'(2'(1'(2'(3'(x11568))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11568))))))))))))))))))))))))))))))))), x11568 >= 0
   3'(z) -{ 2 }-> 3'(0'(0'(0'(0'(0'(2'(0'(0'(0'(0'(3'(0'(2'(1'(1'(2'(1'(1'(1'(2'(1'(3'(0'(0'(3'(3'(3'(0'(1'(1'(3'(3'(1'(3'(x11565))))))))))))))))))))))))))))))))))) :|: x11565 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11565)))))))))))))))))))))))))))))))))
   3'(z) -{ 2 }-> 3'(0'(0'(0'(0'(0'(2'(0'(0'(0'(0'(3'(0'(2'(1'(1'(2'(1'(0'(2'(3'(3'(3'(3'(0'(2'(0'(3'(1'(0'(3'(1'(2'(1'(2'(x11561))))))))))))))))))))))))))))))))))) :|: x11561 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11561)))))))))))))))))))))))))))))))))
   3'(z) -{ 2 }-> 3'(0'(0'(0'(0'(0'(2'(0'(0'(0'(0'(3'(0'(2'(1'(1'(2'(1'(0'(1'(1'(2'(2'(0'(3'(3'(0'(1'(0'(1'(2'(2'(3'(0'(2'(x11563))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11563))))))))))))))))))))))))))))))))), x11563 >= 0
   3'(z) -{ 2 }-> 3'(0'(0'(0'(0'(0'(2'(0'(0'(0'(0'(3'(0'(2'(1'(1'(2'(1'(0'(1'(1'(1'(3'(3'(2'(3'(0'(1'(2'(1'(1'(1'(1'(1'(3'(x11559))))))))))))))))))))))))))))))))))) :|: x11559 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11559)))))))))))))))))))))))))))))))))
   3'(z) -{ 1 }-> 3'(0'(0'(0'(0'(0'(2'(0'(0'(0'(0'(3'(0'(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'(0'(0'(0'(0'(0'(2'(0'(0'(0'(0'(3'(0'(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 }-> 2'(3'(1'(1'(0'(1'(2'(0'(3'(3'(3'(2'(3'(2'(3'(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
   3'(z) -{ 1 }-> 2'(2'(0'(1'(2'(1'(0'(3'(3'(3'(0'(3'(2'(1'(3'(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
   3'(z) -{ 1 }-> 2'(1'(2'(1'(2'(3'(3'(0'(2'(3'(0'(3'(3'(3'(2'(0'(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 }-> 2'(0'(1'(3'(2'(2'(2'(1'(2'(3'(3'(0'(3'(0'(0'(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
   3'(z) -{ 1 }-> 0'(3'(3'(2'(1'(3'(3'(2'(2'(3'(2'(2'(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
   3'(z) -{ 1 }-> 0'(3'(2'(0'(3'(3'(1'(2'(1'(2'(2'(0'(3'(0'(0'(0'(2'(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 }-> 0'(2'(1'(2'(2'(3'(0'(0'(3'(2'(2'(1'(2'(0'(2'(0'(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 }-> 0'(0'(3'(3'(2'(1'(2'(1'(3'(3'(3'(3'(2'(2'(2'(2'(2'(1'(3'(2'(1'(2'(2'(3'(3'(3'(2'(1'(3'(2'(0'(0'(2'(2'(2'(x11508))))))))))))))))))))))))))))))))))) :|: x11508 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11508)))))))))))))))))))))))))))))))))
   3'(z) -{ 2 }-> 0'(0'(3'(3'(2'(1'(2'(1'(3'(3'(3'(3'(2'(2'(2'(2'(2'(1'(2'(2'(1'(2'(1'(2'(0'(2'(3'(2'(2'(0'(0'(3'(3'(3'(3'(x11507))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11507))))))))))))))))))))))))))))))))), x11507 >= 0
   3'(z) -{ 2 }-> 0'(0'(3'(3'(2'(1'(2'(1'(3'(3'(3'(3'(2'(2'(2'(2'(2'(1'(2'(2'(0'(0'(1'(1'(0'(0'(2'(2'(2'(2'(1'(2'(0'(0'(3'(x11511))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11511))))))))))))))))))))))))))))))))), x11511 >= 0
   3'(z) -{ 2 }-> 0'(0'(3'(3'(2'(1'(2'(1'(3'(3'(3'(3'(2'(2'(2'(2'(2'(1'(2'(1'(3'(3'(0'(3'(0'(3'(1'(0'(2'(2'(3'(1'(0'(2'(1'(x11505))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11505))))))))))))))))))))))))))))))))), x11505 >= 0
   3'(z) -{ 2 }-> 0'(0'(3'(3'(2'(1'(2'(1'(3'(3'(3'(3'(2'(2'(2'(2'(2'(1'(2'(1'(1'(1'(3'(0'(3'(0'(3'(1'(0'(3'(2'(2'(0'(3'(1'(x11510))))))))))))))))))))))))))))))))))) :|: x11510 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11510)))))))))))))))))))))))))))))))))
   3'(z) -{ 2 }-> 0'(0'(3'(3'(2'(1'(2'(1'(3'(3'(3'(3'(2'(2'(2'(2'(2'(1'(1'(2'(2'(3'(2'(1'(0'(0'(3'(2'(3'(0'(0'(0'(1'(1'(2'(x11501))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11501))))))))))))))))))))))))))))))))), x11501 >= 0
   3'(z) -{ 2 }-> 0'(0'(3'(3'(2'(1'(2'(1'(3'(3'(3'(3'(2'(2'(2'(2'(2'(1'(1'(2'(1'(1'(3'(0'(3'(3'(2'(1'(2'(0'(3'(1'(1'(3'(0'(x11499))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11499))))))))))))))))))))))))))))))))), x11499 >= 0
   3'(z) -{ 2 }-> 0'(0'(3'(3'(2'(1'(2'(1'(3'(3'(3'(3'(2'(2'(2'(2'(2'(1'(1'(2'(1'(1'(0'(0'(2'(3'(0'(0'(0'(0'(1'(1'(0'(0'(2'(x11503))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11503))))))))))))))))))))))))))))))))), x11503 >= 0
   3'(z) -{ 2 }-> 0'(0'(3'(3'(2'(1'(2'(1'(3'(3'(3'(3'(2'(2'(2'(2'(2'(1'(1'(2'(1'(0'(1'(2'(3'(3'(0'(3'(0'(3'(2'(2'(1'(2'(3'(x11509))))))))))))))))))))))))))))))))))) :|: x11509 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11509)))))))))))))))))))))))))))))))))
   3'(z) -{ 2 }-> 0'(0'(3'(3'(2'(1'(2'(1'(3'(3'(3'(3'(2'(2'(2'(2'(2'(1'(1'(1'(2'(1'(3'(0'(0'(3'(3'(3'(0'(1'(1'(3'(3'(1'(3'(x11506))))))))))))))))))))))))))))))))))) :|: x11506 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11506)))))))))))))))))))))))))))))))))
   3'(z) -{ 2 }-> 0'(0'(3'(3'(2'(1'(2'(1'(3'(3'(3'(3'(2'(2'(2'(2'(2'(1'(0'(2'(3'(3'(3'(3'(0'(2'(0'(3'(1'(0'(3'(1'(2'(1'(2'(x11502))))))))))))))))))))))))))))))))))) :|: x11502 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11502)))))))))))))))))))))))))))))))))
   3'(z) -{ 2 }-> 0'(0'(3'(3'(2'(1'(2'(1'(3'(3'(3'(3'(2'(2'(2'(2'(2'(1'(0'(1'(1'(2'(2'(0'(3'(3'(0'(1'(0'(1'(2'(2'(3'(0'(2'(x11504))))))))))))))))))))))))))))))))))) :|: x11504 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11504)))))))))))))))))))))))))))))))))
   3'(z) -{ 2 }-> 0'(0'(3'(3'(2'(1'(2'(1'(3'(3'(3'(3'(2'(2'(2'(2'(2'(1'(0'(1'(1'(1'(3'(3'(2'(3'(0'(1'(2'(1'(1'(1'(1'(1'(3'(x11500))))))))))))))))))))))))))))))))))) :|: x11500 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11500)))))))))))))))))))))))))))))))))
   3'(z) -{ 1 }-> 0'(0'(3'(3'(2'(1'(2'(1'(3'(3'(3'(3'(2'(2'(2'(2'(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 }-> 0'(0'(3'(3'(2'(1'(2'(1'(3'(3'(3'(3'(2'(2'(2'(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
   3'(z) -{ 1 }-> 0'(0'(3'(3'(1'(1'(0'(2'(2'(3'(1'(3'(3'(0'(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
   3'(z) -{ 1 }-> 0'(0'(3'(2'(3'(3'(0'(0'(0'(3'(2'(0'(1'(2'(3'(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
   3'(z) -{ 1 }-> 0'(0'(2'(1'(2'(3'(0'(3'(2'(0'(2'(0'(0'(3'(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) -{ 0 }-> 0 :|: v0 >= 0, z = v0
   3'(z) -{ 0 }-> 1 + x0 :|: z = x0, x0 >= 0
   encArg(z) -{ 0 }-> 3'(3'(encArg(x_114))) :|: z = 1 + (1 + x_114), x_114 >= 0
   encArg(z) -{ 0 }-> 3'(2'(encArg(x_113))) :|: x_113 >= 0, z = 1 + (1 + x_113)
   encArg(z) -{ 0 }-> 3'(1'(encArg(x_112))) :|: x_112 >= 0, z = 1 + (1 + x_112)
   encArg(z) -{ 0 }-> 3'(0'(encArg(x_111))) :|: z = 1 + (1 + x_111), x_111 >= 0
   encArg(z) -{ 0 }-> 3'(0) :|: z = 1 + x_1, x_1 >= 0
   encArg(z) -{ 0 }-> 2'(3'(encArg(x_110))) :|: z = 1 + (1 + x_110), x_110 >= 0
   encArg(z) -{ 0 }-> 2'(2'(encArg(x_19))) :|: z = 1 + (1 + x_19), x_19 >= 0
   encArg(z) -{ 0 }-> 2'(1'(encArg(x_18))) :|: z = 1 + (1 + x_18), x_18 >= 0
   encArg(z) -{ 0 }-> 2'(0'(encArg(x_17))) :|: x_17 >= 0, z = 1 + (1 + x_17)
   encArg(z) -{ 0 }-> 2'(0) :|: z = 1 + x_1, x_1 >= 0
   encArg(z) -{ 0 }-> 1'(3'(encArg(x_16))) :|: x_16 >= 0, z = 1 + (1 + x_16)
   encArg(z) -{ 0 }-> 1'(2'(encArg(x_15))) :|: x_15 >= 0, z = 1 + (1 + x_15)
   encArg(z) -{ 0 }-> 1'(1'(encArg(x_14))) :|: x_14 >= 0, z = 1 + (1 + x_14)
   encArg(z) -{ 0 }-> 1'(0'(encArg(x_13))) :|: z = 1 + (1 + x_13), x_13 >= 0
   encArg(z) -{ 0 }-> 1'(0) :|: z = 1 + x_1, x_1 >= 0
   encArg(z) -{ 0 }-> 0'(3'(encArg(x_12))) :|: z = 1 + (1 + x_12), x_12 >= 0
   encArg(z) -{ 0 }-> 0'(2'(encArg(x_11))) :|: x_11 >= 0, z = 1 + (1 + x_11)
   encArg(z) -{ 0 }-> 0'(1'(encArg(x_1''))) :|: z = 1 + (1 + x_1''), x_1'' >= 0
   encArg(z) -{ 0 }-> 0'(0'(encArg(x_1'))) :|: z = 1 + (1 + x_1'), x_1' >= 0
   encArg(z) -{ 0 }-> 0'(0) :|: z = 1 + x_1, x_1 >= 0
   encArg(z) -{ 0 }-> 0 :|: v0 >= 0, z = v0
   encode_0(z) -{ 0 }-> 0'(3'(encArg(x_118))) :|: z = 1 + x_118, x_118 >= 0
   encode_0(z) -{ 0 }-> 0'(2'(encArg(x_117))) :|: x_117 >= 0, z = 1 + x_117
   encode_0(z) -{ 0 }-> 0'(1'(encArg(x_116))) :|: x_116 >= 0, z = 1 + x_116
   encode_0(z) -{ 0 }-> 0'(0'(encArg(x_115))) :|: x_115 >= 0, z = 1 + x_115
   encode_0(z) -{ 0 }-> 0'(0) :|: x_1 >= 0, z = x_1
   encode_0(z) -{ 0 }-> 0 :|: v0 >= 0, z = v0
   encode_1(z) -{ 0 }-> 1'(3'(encArg(x_122))) :|: x_122 >= 0, z = 1 + x_122
   encode_1(z) -{ 0 }-> 1'(2'(encArg(x_121))) :|: z = 1 + x_121, x_121 >= 0
   encode_1(z) -{ 0 }-> 1'(1'(encArg(x_120))) :|: x_120 >= 0, z = 1 + x_120
   encode_1(z) -{ 0 }-> 1'(0'(encArg(x_119))) :|: z = 1 + x_119, x_119 >= 0
   encode_1(z) -{ 0 }-> 1'(0) :|: x_1 >= 0, z = x_1
   encode_1(z) -{ 0 }-> 0 :|: v0 >= 0, z = v0
   encode_2(z) -{ 0 }-> 2'(3'(encArg(x_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_126))) :|: z = 1 + x_126, x_126 >= 0
   encode_3(z) -{ 0 }-> 3'(2'(encArg(x_125))) :|: z = 1 + x_125, x_125 >= 0
   encode_3(z) -{ 0 }-> 3'(1'(encArg(x_124))) :|: x_124 >= 0, z = 1 + x_124
   encode_3(z) -{ 0 }-> 3'(0'(encArg(x_123))) :|: x_123 >= 0, z = 1 + x_123
   encode_3(z) -{ 0 }-> 3'(0) :|: x_1 >= 0, z = x_1
   encode_3(z) -{ 0 }-> 0 :|: v0 >= 0, z = v0


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

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

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

   0'(z) -{ 2 }-> 3'(3'(0'(2'(0'(0'(0'(0'(1'(0'(2'(1'(3'(1'(1'(1'(1'(1'(3'(2'(1'(2'(2'(3'(3'(3'(2'(1'(3'(2'(0'(0'(2'(2'(2'(z - 34))))))))))))))))))))))))))))))))))) :|: z - 34 >= 0
   0'(z) -{ 2 }-> 3'(3'(0'(2'(0'(0'(0'(0'(1'(0'(2'(1'(3'(1'(1'(1'(1'(1'(2'(2'(1'(2'(1'(2'(0'(2'(3'(2'(2'(0'(0'(3'(3'(3'(3'(z - 34))))))))))))))))))))))))))))))))))) :|: z - 34 >= 0
   0'(z) -{ 2 }-> 3'(3'(0'(2'(0'(0'(0'(0'(1'(0'(2'(1'(3'(1'(1'(1'(1'(1'(2'(2'(0'(0'(1'(1'(0'(0'(2'(2'(2'(2'(1'(2'(0'(0'(3'(z - 34))))))))))))))))))))))))))))))))))) :|: z - 34 >= 0
   0'(z) -{ 2 }-> 3'(3'(0'(2'(0'(0'(0'(0'(1'(0'(2'(1'(3'(1'(1'(1'(1'(1'(2'(1'(3'(3'(0'(3'(0'(3'(1'(0'(2'(2'(3'(1'(0'(2'(1'(z - 34))))))))))))))))))))))))))))))))))) :|: z - 34 >= 0
   0'(z) -{ 2 }-> 3'(3'(0'(2'(0'(0'(0'(0'(1'(0'(2'(1'(3'(1'(1'(1'(1'(1'(2'(1'(1'(1'(3'(0'(3'(0'(3'(1'(0'(3'(2'(2'(0'(3'(1'(z - 34))))))))))))))))))))))))))))))))))) :|: z - 34 >= 0
   0'(z) -{ 2 }-> 3'(3'(0'(2'(0'(0'(0'(0'(1'(0'(2'(1'(3'(1'(1'(1'(1'(1'(1'(2'(2'(3'(2'(1'(0'(0'(3'(2'(3'(0'(0'(0'(1'(1'(2'(z - 34))))))))))))))))))))))))))))))))))) :|: z - 34 >= 0
   0'(z) -{ 2 }-> 3'(3'(0'(2'(0'(0'(0'(0'(1'(0'(2'(1'(3'(1'(1'(1'(1'(1'(1'(2'(1'(1'(3'(0'(3'(3'(2'(1'(2'(0'(3'(1'(1'(3'(0'(z - 34))))))))))))))))))))))))))))))))))) :|: z - 34 >= 0
   0'(z) -{ 2 }-> 3'(3'(0'(2'(0'(0'(0'(0'(1'(0'(2'(1'(3'(1'(1'(1'(1'(1'(1'(2'(1'(1'(0'(0'(2'(3'(0'(0'(0'(0'(1'(1'(0'(0'(2'(z - 34))))))))))))))))))))))))))))))))))) :|: z - 34 >= 0
   0'(z) -{ 2 }-> 3'(3'(0'(2'(0'(0'(0'(0'(1'(0'(2'(1'(3'(1'(1'(1'(1'(1'(1'(2'(1'(0'(1'(2'(3'(3'(0'(3'(0'(3'(2'(2'(1'(2'(3'(z - 34))))))))))))))))))))))))))))))))))) :|: z - 34 >= 0
   0'(z) -{ 2 }-> 3'(3'(0'(2'(0'(0'(0'(0'(1'(0'(2'(1'(3'(1'(1'(1'(1'(1'(1'(1'(2'(1'(3'(0'(0'(3'(3'(3'(0'(1'(1'(3'(3'(1'(3'(z - 34))))))))))))))))))))))))))))))))))) :|: z - 34 >= 0
   0'(z) -{ 2 }-> 3'(3'(0'(2'(0'(0'(0'(0'(1'(0'(2'(1'(3'(1'(1'(1'(1'(1'(0'(2'(3'(3'(3'(3'(0'(2'(0'(3'(1'(0'(3'(1'(2'(1'(2'(z - 34))))))))))))))))))))))))))))))))))) :|: z - 34 >= 0
   0'(z) -{ 2 }-> 3'(3'(0'(2'(0'(0'(0'(0'(1'(0'(2'(1'(3'(1'(1'(1'(1'(1'(0'(1'(1'(2'(2'(0'(3'(3'(0'(1'(0'(1'(2'(2'(3'(0'(2'(z - 34))))))))))))))))))))))))))))))))))) :|: z - 34 >= 0
   0'(z) -{ 2 }-> 3'(3'(0'(2'(0'(0'(0'(0'(1'(0'(2'(1'(3'(1'(1'(1'(1'(1'(0'(1'(1'(1'(3'(3'(2'(3'(0'(1'(2'(1'(1'(1'(1'(1'(3'(z - 34))))))))))))))))))))))))))))))))))) :|: z - 34 >= 0
   0'(z) -{ 1 }-> 3'(3'(0'(2'(0'(0'(0'(0'(1'(0'(2'(1'(3'(1'(1'(1'(1'(0))))))))))))))))) :|: z - 17 >= 0
   0'(z) -{ 1 }-> 3'(3'(0'(2'(0'(0'(0'(0'(1'(0'(2'(1'(3'(1'(1'(1'(1'(1 + (z - 17)))))))))))))))))) :|: z - 17 >= 0
   0'(z) -{ 1 }-> 3'(2'(2'(3'(2'(0'(1'(2'(1'(3'(1'(3'(0'(3'(0'(3'(3'(3'(z - 17)))))))))))))))))) :|: z - 17 >= 0
   0'(z) -{ 1 }-> 3'(0'(3'(2'(3'(3'(0'(0'(3'(2'(1'(1'(0'(3'(1'(2'(3'(3'(z - 17)))))))))))))))))) :|: z - 17 >= 0
   0'(z) -{ 1 }-> 3'(0'(3'(2'(2'(1'(1'(1'(2'(0'(1'(1'(2'(1'(3'(0'(0'(0'(z - 17)))))))))))))))))) :|: z - 17 >= 0
   0'(z) -{ 1 }-> 3'(0'(2'(3'(0'(3'(1'(2'(1'(2'(3'(0'(3'(1'(0'(2'(1'(2'(z - 17)))))))))))))))))) :|: z - 17 >= 0
   0'(z) -{ 1 }-> 3'(0'(2'(3'(0'(3'(0'(3'(0'(0'(1'(2'(3'(3'(1'(2'(2'(2'(z - 17)))))))))))))))))) :|: z - 17 >= 0
   0'(z) -{ 2 }-> 3'(0'(0'(3'(1'(1'(0'(0'(2'(1'(2'(2'(0'(1'(1'(0'(3'(1'(3'(2'(1'(2'(2'(3'(3'(3'(2'(1'(3'(2'(0'(0'(2'(2'(2'(z - 34))))))))))))))))))))))))))))))))))) :|: z - 34 >= 0
   0'(z) -{ 2 }-> 3'(0'(0'(3'(1'(1'(0'(0'(2'(1'(2'(2'(0'(1'(1'(0'(3'(1'(2'(2'(1'(2'(1'(2'(0'(2'(3'(2'(2'(0'(0'(3'(3'(3'(3'(z - 34))))))))))))))))))))))))))))))))))) :|: z - 34 >= 0
   0'(z) -{ 2 }-> 3'(0'(0'(3'(1'(1'(0'(0'(2'(1'(2'(2'(0'(1'(1'(0'(3'(1'(2'(2'(0'(0'(1'(1'(0'(0'(2'(2'(2'(2'(1'(2'(0'(0'(3'(z - 34))))))))))))))))))))))))))))))))))) :|: z - 34 >= 0
   0'(z) -{ 2 }-> 3'(0'(0'(3'(1'(1'(0'(0'(2'(1'(2'(2'(0'(1'(1'(0'(3'(1'(2'(1'(3'(3'(0'(3'(0'(3'(1'(0'(2'(2'(3'(1'(0'(2'(1'(z - 34))))))))))))))))))))))))))))))))))) :|: z - 34 >= 0
   0'(z) -{ 2 }-> 3'(0'(0'(3'(1'(1'(0'(0'(2'(1'(2'(2'(0'(1'(1'(0'(3'(1'(2'(1'(1'(1'(3'(0'(3'(0'(3'(1'(0'(3'(2'(2'(0'(3'(1'(z - 34))))))))))))))))))))))))))))))))))) :|: z - 34 >= 0
   0'(z) -{ 2 }-> 3'(0'(0'(3'(1'(1'(0'(0'(2'(1'(2'(2'(0'(1'(1'(0'(3'(1'(1'(2'(2'(3'(2'(1'(0'(0'(3'(2'(3'(0'(0'(0'(1'(1'(2'(z - 34))))))))))))))))))))))))))))))))))) :|: z - 34 >= 0
   0'(z) -{ 2 }-> 3'(0'(0'(3'(1'(1'(0'(0'(2'(1'(2'(2'(0'(1'(1'(0'(3'(1'(1'(2'(1'(1'(3'(0'(3'(3'(2'(1'(2'(0'(3'(1'(1'(3'(0'(z - 34))))))))))))))))))))))))))))))))))) :|: z - 34 >= 0
   0'(z) -{ 2 }-> 3'(0'(0'(3'(1'(1'(0'(0'(2'(1'(2'(2'(0'(1'(1'(0'(3'(1'(1'(2'(1'(1'(0'(0'(2'(3'(0'(0'(0'(0'(1'(1'(0'(0'(2'(z - 34))))))))))))))))))))))))))))))))))) :|: z - 34 >= 0
   0'(z) -{ 2 }-> 3'(0'(0'(3'(1'(1'(0'(0'(2'(1'(2'(2'(0'(1'(1'(0'(3'(1'(1'(2'(1'(0'(1'(2'(3'(3'(0'(3'(0'(3'(2'(2'(1'(2'(3'(z - 34))))))))))))))))))))))))))))))))))) :|: z - 34 >= 0
   0'(z) -{ 2 }-> 3'(0'(0'(3'(1'(1'(0'(0'(2'(1'(2'(2'(0'(1'(1'(0'(3'(1'(1'(1'(2'(1'(3'(0'(0'(3'(3'(3'(0'(1'(1'(3'(3'(1'(3'(z - 34))))))))))))))))))))))))))))))))))) :|: z - 34 >= 0
   0'(z) -{ 2 }-> 3'(0'(0'(3'(1'(1'(0'(0'(2'(1'(2'(2'(0'(1'(1'(0'(3'(1'(0'(2'(3'(3'(3'(3'(0'(2'(0'(3'(1'(0'(3'(1'(2'(1'(2'(z - 34))))))))))))))))))))))))))))))))))) :|: z - 34 >= 0
   0'(z) -{ 2 }-> 3'(0'(0'(3'(1'(1'(0'(0'(2'(1'(2'(2'(0'(1'(1'(0'(3'(1'(0'(1'(1'(2'(2'(0'(3'(3'(0'(1'(0'(1'(2'(2'(3'(0'(2'(z - 34))))))))))))))))))))))))))))))))))) :|: z - 34 >= 0
   0'(z) -{ 2 }-> 3'(0'(0'(3'(1'(1'(0'(0'(2'(1'(2'(2'(0'(1'(1'(0'(3'(1'(0'(1'(1'(1'(3'(3'(2'(3'(0'(1'(2'(1'(1'(1'(1'(1'(3'(z - 34))))))))))))))))))))))))))))))))))) :|: z - 34 >= 0
   0'(z) -{ 1 }-> 3'(0'(0'(3'(1'(1'(0'(0'(2'(1'(2'(2'(0'(1'(1'(0'(3'(0))))))))))))))))) :|: z - 17 >= 0
   0'(z) -{ 1 }-> 3'(0'(0'(3'(1'(1'(0'(0'(2'(1'(2'(2'(0'(1'(1'(0'(3'(1 + (z - 17)))))))))))))))))) :|: z - 17 >= 0
   0'(z) -{ 2 }-> 2'(3'(0'(3'(3'(3'(1'(1'(3'(0'(3'(1'(3'(2'(3'(1'(2'(1'(3'(2'(1'(2'(2'(3'(3'(3'(2'(1'(3'(2'(0'(0'(2'(2'(2'(z - 34))))))))))))))))))))))))))))))))))) :|: z - 34 >= 0
   0'(z) -{ 2 }-> 2'(3'(0'(3'(3'(3'(1'(1'(3'(0'(3'(1'(3'(2'(3'(1'(2'(1'(2'(2'(1'(2'(1'(2'(0'(2'(3'(2'(2'(0'(0'(3'(3'(3'(3'(z - 34))))))))))))))))))))))))))))))))))) :|: z - 34 >= 0
   0'(z) -{ 2 }-> 2'(3'(0'(3'(3'(3'(1'(1'(3'(0'(3'(1'(3'(2'(3'(1'(2'(1'(2'(2'(0'(0'(1'(1'(0'(0'(2'(2'(2'(2'(1'(2'(0'(0'(3'(z - 34))))))))))))))))))))))))))))))))))) :|: z - 34 >= 0
   0'(z) -{ 2 }-> 2'(3'(0'(3'(3'(3'(1'(1'(3'(0'(3'(1'(3'(2'(3'(1'(2'(1'(2'(1'(3'(3'(0'(3'(0'(3'(1'(0'(2'(2'(3'(1'(0'(2'(1'(z - 34))))))))))))))))))))))))))))))))))) :|: z - 34 >= 0
   0'(z) -{ 2 }-> 2'(3'(0'(3'(3'(3'(1'(1'(3'(0'(3'(1'(3'(2'(3'(1'(2'(1'(2'(1'(1'(1'(3'(0'(3'(0'(3'(1'(0'(3'(2'(2'(0'(3'(1'(z - 34))))))))))))))))))))))))))))))))))) :|: z - 34 >= 0
   0'(z) -{ 2 }-> 2'(3'(0'(3'(3'(3'(1'(1'(3'(0'(3'(1'(3'(2'(3'(1'(2'(1'(1'(2'(2'(3'(2'(1'(0'(0'(3'(2'(3'(0'(0'(0'(1'(1'(2'(z - 34))))))))))))))))))))))))))))))))))) :|: z - 34 >= 0
   0'(z) -{ 2 }-> 2'(3'(0'(3'(3'(3'(1'(1'(3'(0'(3'(1'(3'(2'(3'(1'(2'(1'(1'(2'(1'(1'(3'(0'(3'(3'(2'(1'(2'(0'(3'(1'(1'(3'(0'(z - 34))))))))))))))))))))))))))))))))))) :|: z - 34 >= 0
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   3'(z) -{ 2 }-> 3'(0'(0'(0'(0'(0'(2'(0'(0'(0'(0'(3'(0'(2'(1'(1'(2'(1'(1'(1'(2'(1'(3'(0'(0'(3'(3'(3'(0'(1'(1'(3'(3'(1'(3'(z - 34))))))))))))))))))))))))))))))))))) :|: z - 34 >= 0
   3'(z) -{ 2 }-> 3'(0'(0'(0'(0'(0'(2'(0'(0'(0'(0'(3'(0'(2'(1'(1'(2'(1'(0'(2'(3'(3'(3'(3'(0'(2'(0'(3'(1'(0'(3'(1'(2'(1'(2'(z - 34))))))))))))))))))))))))))))))))))) :|: z - 34 >= 0
   3'(z) -{ 2 }-> 3'(0'(0'(0'(0'(0'(2'(0'(0'(0'(0'(3'(0'(2'(1'(1'(2'(1'(0'(1'(1'(2'(2'(0'(3'(3'(0'(1'(0'(1'(2'(2'(3'(0'(2'(z - 34))))))))))))))))))))))))))))))))))) :|: z - 34 >= 0
   3'(z) -{ 2 }-> 3'(0'(0'(0'(0'(0'(2'(0'(0'(0'(0'(3'(0'(2'(1'(1'(2'(1'(0'(1'(1'(1'(3'(3'(2'(3'(0'(1'(2'(1'(1'(1'(1'(1'(3'(z - 34))))))))))))))))))))))))))))))))))) :|: z - 34 >= 0
   3'(z) -{ 1 }-> 3'(0'(0'(0'(0'(0'(2'(0'(0'(0'(0'(3'(0'(2'(1'(1'(2'(0))))))))))))))))) :|: z - 17 >= 0
   3'(z) -{ 1 }-> 3'(0'(0'(0'(0'(0'(2'(0'(0'(0'(0'(3'(0'(2'(1'(1'(2'(1 + (z - 17)))))))))))))))))) :|: z - 17 >= 0
   3'(z) -{ 1 }-> 2'(3'(1'(1'(0'(1'(2'(0'(3'(3'(3'(2'(3'(2'(3'(3'(0'(3'(z - 17)))))))))))))))))) :|: z - 17 >= 0
   3'(z) -{ 1 }-> 2'(2'(0'(1'(2'(1'(0'(3'(3'(3'(0'(3'(2'(1'(3'(3'(3'(0'(z - 17)))))))))))))))))) :|: z - 17 >= 0
   3'(z) -{ 1 }-> 2'(1'(2'(1'(2'(3'(3'(0'(2'(3'(0'(3'(3'(3'(2'(0'(3'(3'(z - 17)))))))))))))))))) :|: z - 17 >= 0
   3'(z) -{ 1 }-> 2'(0'(1'(3'(2'(2'(2'(1'(2'(3'(3'(0'(3'(0'(0'(0'(3'(2'(z - 17)))))))))))))))))) :|: z - 17 >= 0
   3'(z) -{ 1 }-> 0'(3'(3'(2'(1'(3'(3'(2'(2'(3'(2'(2'(2'(0'(3'(2'(2'(3'(z - 17)))))))))))))))))) :|: z - 17 >= 0
   3'(z) -{ 1 }-> 0'(3'(2'(0'(3'(3'(1'(2'(1'(2'(2'(0'(3'(0'(0'(0'(2'(2'(z - 17)))))))))))))))))) :|: z - 17 >= 0
   3'(z) -{ 1 }-> 0'(2'(1'(2'(2'(3'(0'(0'(3'(2'(2'(1'(2'(0'(2'(0'(0'(2'(z - 17)))))))))))))))))) :|: z - 17 >= 0
   3'(z) -{ 2 }-> 0'(0'(3'(3'(2'(1'(2'(1'(3'(3'(3'(3'(2'(2'(2'(2'(2'(1'(3'(2'(1'(2'(2'(3'(3'(3'(2'(1'(3'(2'(0'(0'(2'(2'(2'(z - 34))))))))))))))))))))))))))))))))))) :|: z - 34 >= 0
   3'(z) -{ 2 }-> 0'(0'(3'(3'(2'(1'(2'(1'(3'(3'(3'(3'(2'(2'(2'(2'(2'(1'(2'(2'(1'(2'(1'(2'(0'(2'(3'(2'(2'(0'(0'(3'(3'(3'(3'(z - 34))))))))))))))))))))))))))))))))))) :|: z - 34 >= 0
   3'(z) -{ 2 }-> 0'(0'(3'(3'(2'(1'(2'(1'(3'(3'(3'(3'(2'(2'(2'(2'(2'(1'(2'(2'(0'(0'(1'(1'(0'(0'(2'(2'(2'(2'(1'(2'(0'(0'(3'(z - 34))))))))))))))))))))))))))))))))))) :|: z - 34 >= 0
   3'(z) -{ 2 }-> 0'(0'(3'(3'(2'(1'(2'(1'(3'(3'(3'(3'(2'(2'(2'(2'(2'(1'(2'(1'(3'(3'(0'(3'(0'(3'(1'(0'(2'(2'(3'(1'(0'(2'(1'(z - 34))))))))))))))))))))))))))))))))))) :|: z - 34 >= 0
   3'(z) -{ 2 }-> 0'(0'(3'(3'(2'(1'(2'(1'(3'(3'(3'(3'(2'(2'(2'(2'(2'(1'(2'(1'(1'(1'(3'(0'(3'(0'(3'(1'(0'(3'(2'(2'(0'(3'(1'(z - 34))))))))))))))))))))))))))))))))))) :|: z - 34 >= 0
   3'(z) -{ 2 }-> 0'(0'(3'(3'(2'(1'(2'(1'(3'(3'(3'(3'(2'(2'(2'(2'(2'(1'(1'(2'(2'(3'(2'(1'(0'(0'(3'(2'(3'(0'(0'(0'(1'(1'(2'(z - 34))))))))))))))))))))))))))))))))))) :|: z - 34 >= 0
   3'(z) -{ 2 }-> 0'(0'(3'(3'(2'(1'(2'(1'(3'(3'(3'(3'(2'(2'(2'(2'(2'(1'(1'(2'(1'(1'(3'(0'(3'(3'(2'(1'(2'(0'(3'(1'(1'(3'(0'(z - 34))))))))))))))))))))))))))))))))))) :|: z - 34 >= 0
   3'(z) -{ 2 }-> 0'(0'(3'(3'(2'(1'(2'(1'(3'(3'(3'(3'(2'(2'(2'(2'(2'(1'(1'(2'(1'(1'(0'(0'(2'(3'(0'(0'(0'(0'(1'(1'(0'(0'(2'(z - 34))))))))))))))))))))))))))))))))))) :|: z - 34 >= 0
   3'(z) -{ 2 }-> 0'(0'(3'(3'(2'(1'(2'(1'(3'(3'(3'(3'(2'(2'(2'(2'(2'(1'(1'(2'(1'(0'(1'(2'(3'(3'(0'(3'(0'(3'(2'(2'(1'(2'(3'(z - 34))))))))))))))))))))))))))))))))))) :|: z - 34 >= 0
   3'(z) -{ 2 }-> 0'(0'(3'(3'(2'(1'(2'(1'(3'(3'(3'(3'(2'(2'(2'(2'(2'(1'(1'(1'(2'(1'(3'(0'(0'(3'(3'(3'(0'(1'(1'(3'(3'(1'(3'(z - 34))))))))))))))))))))))))))))))))))) :|: z - 34 >= 0
   3'(z) -{ 2 }-> 0'(0'(3'(3'(2'(1'(2'(1'(3'(3'(3'(3'(2'(2'(2'(2'(2'(1'(0'(2'(3'(3'(3'(3'(0'(2'(0'(3'(1'(0'(3'(1'(2'(1'(2'(z - 34))))))))))))))))))))))))))))))))))) :|: z - 34 >= 0
   3'(z) -{ 2 }-> 0'(0'(3'(3'(2'(1'(2'(1'(3'(3'(3'(3'(2'(2'(2'(2'(2'(1'(0'(1'(1'(2'(2'(0'(3'(3'(0'(1'(0'(1'(2'(2'(3'(0'(2'(z - 34))))))))))))))))))))))))))))))))))) :|: z - 34 >= 0
   3'(z) -{ 2 }-> 0'(0'(3'(3'(2'(1'(2'(1'(3'(3'(3'(3'(2'(2'(2'(2'(2'(1'(0'(1'(1'(1'(3'(3'(2'(3'(0'(1'(2'(1'(1'(1'(1'(1'(3'(z - 34))))))))))))))))))))))))))))))))))) :|: z - 34 >= 0
   3'(z) -{ 1 }-> 0'(0'(3'(3'(2'(1'(2'(1'(3'(3'(3'(3'(2'(2'(2'(2'(2'(0))))))))))))))))) :|: z - 17 >= 0
   3'(z) -{ 1 }-> 0'(0'(3'(3'(2'(1'(2'(1'(3'(3'(3'(3'(2'(2'(2'(2'(2'(1 + (z - 17)))))))))))))))))) :|: z - 17 >= 0
   3'(z) -{ 1 }-> 0'(0'(3'(3'(1'(1'(0'(2'(2'(3'(1'(3'(3'(0'(3'(3'(3'(3'(z - 17)))))))))))))))))) :|: z - 17 >= 0
   3'(z) -{ 1 }-> 0'(0'(3'(2'(3'(3'(0'(0'(0'(3'(2'(0'(1'(2'(3'(1'(0'(2'(z - 17)))))))))))))))))) :|: z - 17 >= 0
   3'(z) -{ 1 }-> 0'(0'(2'(1'(2'(3'(0'(3'(2'(0'(2'(0'(0'(3'(0'(2'(0'(2'(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_1(v0) -> null_encode_1 [0]
   encode_3(v0) -> null_encode_3 [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_1, null_encode_3, 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:

   2'(c_2(c_2(c_3(c_0(c_1(c_3(c_2(c_1(c_3(c_3(c_2(c_1(c_2(c_2(c_1(c_2(c_3(x1)))))))))))))))))) -> 2'(2'(2'(1'(1'(2'(3'(2'(3'(2'(2'(0'(3'(1'(2'(1'(3'(3'(x1)))))))))))))))))) [1]
   3'(c_0(c_0(c_3(c_1(c_3(c_0(c_2(c_0(c_2(c_0(c_0(c_1(c_0(c_3(c_2(c_3(c_2(x1)))))))))))))))))) -> 0'(0'(3'(2'(3'(3'(0'(0'(0'(3'(2'(0'(1'(2'(3'(1'(0'(2'(x1)))))))))))))))))) [1]
   0'(c_0(c_2(c_0(c_3(c_3(c_2(c_3(c_1(c_3(c_1(c_0(c_2(c_1(c_3(c_0(c_2(c_0(x1)))))))))))))))))) -> 0'(0'(1'(1'(3'(0'(3'(3'(1'(2'(0'(2'(3'(0'(2'(2'(0'(3'(x1)))))))))))))))))) [1]
   3'(c_3(c_0(c_2(c_3(c_0(c_1(c_3(c_3(c_3(c_1(c_2(c_1(c_3(c_2(c_2(c_0(c_3(x1)))))))))))))))))) -> 2'(3'(1'(1'(0'(1'(2'(0'(3'(3'(3'(2'(3'(2'(3'(3'(0'(3'(x1)))))))))))))))))) [1]
   1'(c_2(c_3(c_0(c_1(c_0(c_3(c_1(c_2(c_3(c_1(c_1(c_1(c_1(c_3(c_2(c_3(c_0(x1)))))))))))))))))) -> 1'(1'(2'(1'(1'(3'(0'(3'(3'(2'(1'(2'(0'(3'(1'(1'(3'(0'(x1)))))))))))))))))) [1]
   2'(c_2(c_1(c_3(c_1(c_3(c_0(c_0(c_2(c_1(c_2(c_2(c_2(c_1(c_1(c_1(c_0(c_1(x1)))))))))))))))))) -> 0'(2'(2'(3'(3'(1'(1'(2'(0'(2'(1'(1'(2'(1'(0'(1'(2'(1'(x1)))))))))))))))))) [1]
   1'(c_3(c_1(c_3(c_1(c_1(c_1(c_2(c_1(c_3(c_0(c_1(c_2(c_1(c_3(c_1(c_1(c_0(x1)))))))))))))))))) -> 1'(0'(1'(1'(1'(3'(3'(2'(3'(0'(1'(2'(1'(1'(1'(1'(1'(3'(x1)))))))))))))))))) [1]
   0'(c_0(c_2(c_0(c_3(c_0(c_2(c_2(c_3(c_0(c_2(c_0(c_0(c_2(c_3(c_0(c_0(c_2(x1)))))))))))))))))) -> 0'(0'(3'(2'(2'(0'(2'(0'(0'(0'(2'(2'(0'(3'(0'(0'(3'(2'(x1)))))))))))))))))) [1]
   0'(c_0(c_0(c_1(c_3(c_3(c_2(c_2(c_3(c_0(c_0(c_1(c_3(c_2(c_2(c_3(c_3(c_2(x1)))))))))))))))))) -> 3'(0'(2'(3'(0'(3'(0'(3'(0'(0'(1'(2'(3'(3'(1'(2'(2'(2'(x1)))))))))))))))))) [1]
   0'(c_0(c_0(c_2(c_2(c_3(c_0(c_0(c_1(c_0(c_0(c_0(c_1(c_0(c_3(c_1(c_2(c_2(x1)))))))))))))))))) -> 0'(0'(0'(3'(2'(0'(1'(3'(0'(2'(1'(0'(0'(1'(2'(0'(0'(2'(x1)))))))))))))))))) [1]
   0'(c_1(c_0(c_2(c_2(c_1(c_2(c_1(c_3(c_1(c_1(c_2(c_0(c_1(c_2(c_0(c_1(c_0(x1)))))))))))))))))) -> 2'(0'(0'(3'(1'(2'(2'(1'(2'(0'(1'(0'(1'(2'(1'(1'(1'(0'(x1)))))))))))))))))) [1]
   0'(c_2(c_1(c_0(c_2(c_0(c_3(c_0(c_1(c_0(c_2(c_0(c_2(c_0(c_1(c_2(c_0(c_3(x1)))))))))))))))))) -> 0'(2'(1'(2'(0'(2'(1'(2'(0'(3'(0'(0'(3'(2'(1'(0'(0'(0'(x1)))))))))))))))))) [1]
   2'(c_0(c_0(c_1(c_3(c_1(c_3(c_2(c_1(c_0(c_0(c_2(c_2(c_2(c_0(c_2(c_0(c_3(x1)))))))))))))))))) -> 0'(2'(2'(2'(0'(2'(1'(0'(0'(3'(0'(0'(1'(2'(2'(1'(3'(3'(x1)))))))))))))))))) [1]
   2'(c_3(c_2(c_3(c_1(c_2(c_0(c_1(c_3(c_0(c_1(c_3(c_2(c_1(c_0(c_2(c_3(c_3(x1)))))))))))))))))) -> 0'(3'(1'(0'(2'(2'(1'(2'(2'(1'(3'(3'(3'(1'(0'(2'(3'(3'(x1)))))))))))))))))) [1]
   3'(c_3(c_3(c_2(c_3(c_0(c_2(c_2(c_3(c_1(c_2(c_3(c_0(c_3(c_3(c_2(c_2(c_2(x1)))))))))))))))))) -> 3'(0'(3'(2'(2'(2'(0'(3'(3'(3'(2'(2'(3'(2'(1'(3'(3'(2'(x1)))))))))))))))))) [1]
   2'(c_1(c_2(c_2(c_2(c_2(c_2(c_0(c_1(c_3(c_2(c_0(c_0(c_1(c_2(c_3(c_1(c_2(x1)))))))))))))))))) -> 2'(1'(2'(2'(1'(0'(0'(3'(3'(0'(1'(2'(2'(2'(2'(2'(1'(2'(x1)))))))))))))))))) [1]
   2'(c_2(c_3(c_2(c_2(c_3(c_1(c_0(c_2(c_3(c_1(c_1(c_1(c_0(c_0(c_1(c_0(c_2(x1)))))))))))))))))) -> 0'(2'(1'(1'(2'(2'(0'(3'(3'(0'(1'(1'(2'(2'(1'(0'(3'(2'(x1)))))))))))))))))) [1]
   3'(c_1(c_1(c_1(c_3(c_1(c_3(c_3(c_3(c_2(c_3(c_0(c_0(c_2(c_3(c_1(c_3(c_1(x1)))))))))))))))))) -> 3'(3'(1'(2'(2'(3'(0'(1'(0'(3'(3'(3'(1'(1'(1'(3'(3'(1'(x1)))))))))))))))))) [1]
   0'(c_1(c_2(c_3(c_3(c_3(c_1(c_3(c_3(c_3(c_2(c_3(c_1(c_2(c_0(c_1(c_3(c_1(x1)))))))))))))))))) -> 2'(3'(0'(3'(3'(3'(1'(1'(3'(0'(3'(1'(3'(2'(3'(1'(2'(1'(x1)))))))))))))))))) [1]
   2'(c_3(c_3(c_2(c_1(c_0(c_3(c_0(c_0(c_0(c_3(c_3(c_1(c_3(c_0(c_0(c_0(c_3(x1)))))))))))))))))) -> 2'(1'(0'(3'(0'(3'(0'(3'(3'(3'(0'(0'(0'(0'(2'(1'(3'(3'(x1)))))))))))))))))) [1]
   0'(c_1(c_1(c_1(c_3(c_0(c_1(c_3(c_1(c_2(c_0(c_2(c_1(c_2(c_2(c_0(c_3(c_0(x1)))))))))))))))))) -> 3'(0'(3'(2'(2'(1'(1'(1'(2'(0'(1'(1'(2'(1'(3'(0'(0'(0'(x1)))))))))))))))))) [1]
   2'(c_1(c_0(c_3(c_1(c_3(c_1(c_2(c_2(c_2(c_2(c_1(c_2(c_3(c_1(c_3(c_0(c_2(x1)))))))))))))))))) -> 2'(3'(3'(2'(1'(2'(0'(3'(1'(2'(2'(1'(0'(3'(2'(2'(1'(1'(x1)))))))))))))))))) [1]
   1'(c_1(c_0(c_3(c_1(c_2(c_0(c_0(c_1(c_3(c_2(c_1(c_2(c_0(c_3(c_0(c_2(c_2(x1)))))))))))))))))) -> 1'(1'(2'(2'(3'(2'(1'(0'(0'(3'(2'(3'(0'(0'(0'(1'(1'(2'(x1)))))))))))))))))) [1]
   2'(c_2(c_3(c_1(c_1(c_1(c_3(c_1(c_2(c_0(c_1(c_2(c_2(c_0(c_1(c_2(c_2(c_2(x1)))))))))))))))))) -> 2'(2'(1'(2'(1'(3'(1'(1'(2'(3'(2'(2'(0'(1'(2'(0'(1'(2'(x1)))))))))))))))))) [1]
   3'(c_3(c_2(c_0(c_0(c_1(c_0(c_2(c_3(c_3(c_0(c_3(c_1(c_3(c_3(c_1(c_3(c_3(x1)))))))))))))))))) -> 0'(0'(3'(3'(1'(1'(0'(2'(2'(3'(1'(3'(3'(0'(3'(3'(3'(3'(x1)))))))))))))))))) [1]
   1'(c_2(c_2(c_0(c_3(c_1(c_3(c_0(c_0(c_1(c_3(c_3(c_0(c_3(c_2(c_3(c_1(c_2(x1)))))))))))))))))) -> 1'(0'(2'(3'(3'(3'(3'(0'(2'(0'(3'(1'(0'(3'(1'(2'(1'(2'(x1)))))))))))))))))) [1]
   2'(c_2(c_2(c_2(c_3(c_2(c_0(c_1(c_3(c_1(c_2(c_2(c_2(c_1(c_3(c_2(c_3(c_3(x1)))))))))))))))))) -> 2'(3'(1'(2'(2'(1'(2'(2'(1'(0'(2'(2'(2'(2'(3'(3'(3'(3'(x1)))))))))))))))))) [1]
   3'(c_1(c_3(c_2(c_1(c_3(c_1(c_0(c_3(c_2(c_0(c_2(c_0(c_3(c_0(c_2(c_3(c_3(x1)))))))))))))))))) -> 2'(2'(0'(1'(2'(1'(0'(3'(3'(3'(0'(3'(2'(1'(3'(3'(3'(0'(x1)))))))))))))))))) [1]
   2'(c_0(c_2(c_2(c_3(c_1(c_0(c_3(c_2(c_3(c_0(c_3(c_2(c_0(c_0(c_2(c_0(c_2(x1)))))))))))))))))) -> 2'(0'(0'(2'(3'(0'(3'(3'(0'(3'(2'(0'(1'(2'(2'(2'(0'(2'(x1)))))))))))))))))) [1]
   2'(c_1(c_3(c_0(c_0(c_2(c_2(c_1(c_1(c_3(c_1(c_3(c_1(c_0(c_0(c_2(c_1(c_2(x1)))))))))))))))))) -> 0'(1'(2'(1'(0'(1'(2'(1'(0'(0'(1'(1'(2'(3'(3'(3'(2'(2'(x1)))))))))))))))))) [1]
   3'(c_1(c_3(c_1(c_1(c_1(c_1(c_3(c_2(c_0(c_0(c_2(c_2(c_2(c_1(c_3(c_3(c_1(x1)))))))))))))))))) -> 3'(1'(0'(3'(1'(1'(0'(2'(2'(2'(3'(1'(2'(1'(1'(3'(3'(1'(x1)))))))))))))))))) [1]
   3'(c_0(c_0(c_2(c_2(c_2(c_1(c_3(c_1(c_3(c_3(c_3(c_2(c_0(c_2(c_3(c_3(c_3(x1)))))))))))))))))) -> 2'(1'(2'(1'(2'(3'(3'(0'(2'(3'(0'(3'(3'(3'(2'(0'(3'(3'(x1)))))))))))))))))) [1]
   0'(c_1(c_3(c_2(c_3(c_1(c_1(c_3(c_2(c_2(c_0(c_0(c_1(c_3(c_2(c_3(c_3(c_3(x1)))))))))))))))))) -> 2'(3'(0'(3'(3'(3'(1'(0'(0'(1'(2'(1'(3'(2'(3'(2'(1'(3'(x1)))))))))))))))))) [1]
   0'(c_1(c_0(c_0(c_2(c_2(c_2(c_3(c_2(c_1(c_3(c_2(c_3(c_3(c_1(c_0(c_1(c_0(x1)))))))))))))))))) -> 0'(1'(2'(3'(0'(3'(3'(0'(2'(0'(1'(0'(2'(1'(3'(2'(1'(2'(x1)))))))))))))))))) [1]
   0'(c_3(c_2(c_3(c_1(c_0(c_0(c_1(c_0(c_0(c_1(c_2(c_3(c_2(c_1(c_1(c_0(c_1(x1)))))))))))))))))) -> 3'(0'(0'(3'(1'(1'(0'(0'(2'(1'(2'(2'(0'(1'(1'(0'(3'(1'(x1)))))))))))))))))) [1]
   1'(c_1(c_0(c_0(c_0(c_2(c_0(c_1(c_0(c_1(c_1(c_0(c_3(c_2(c_1(c_0(c_0(c_2(x1)))))))))))))))))) -> 1'(1'(2'(1'(1'(0'(0'(2'(3'(0'(0'(0'(0'(1'(1'(0'(0'(2'(x1)))))))))))))))))) [1]
   0'(c_2(c_0(c_1(c_0(c_0(c_0(c_1(c_0(c_3(c_0(c_2(c_3(c_3(c_3(c_3(c_0(c_3(x1)))))))))))))))))) -> 0'(3'(0'(0'(0'(3'(3'(2'(0'(1'(1'(0'(2'(3'(0'(0'(3'(3'(x1)))))))))))))))))) [1]
   2'(c_0(c_3(c_0(c_0(c_1(c_3(c_1(c_2(c_0(c_2(c_1(c_3(c_0(c_2(c_2(c_0(c_0(x1)))))))))))))))))) -> 0'(0'(3'(0'(3'(2'(1'(2'(1'(2'(2'(1'(2'(0'(0'(0'(3'(0'(x1)))))))))))))))))) [1]
   3'(c_3(c_3(c_1(c_3(c_1(c_3(c_0(c_3(c_3(c_2(c_0(c_1(c_3(c_0(c_1(c_2(c_3(x1)))))))))))))))))) -> 3'(3'(3'(1'(1'(3'(1'(3'(3'(3'(2'(3'(0'(3'(1'(2'(0'(0'(x1)))))))))))))))))) [1]
   3'(c_0(c_0(c_0(c_2(c_0(c_3(c_2(c_0(c_2(c_2(c_2(c_0(c_0(c_1(c_3(c_0(c_2(x1)))))))))))))))))) -> 0'(0'(2'(1'(2'(3'(0'(3'(2'(0'(2'(0'(0'(3'(0'(2'(0'(2'(x1)))))))))))))))))) [1]
   3'(c_2(c_3(c_0(c_2(c_2(c_2(c_2(c_0(c_0(c_0(c_1(c_1(c_1(c_3(c_0(c_2(c_3(x1)))))))))))))))))) -> 3'(0'(2'(3'(2'(0'(3'(1'(2'(0'(2'(1'(0'(3'(2'(1'(2'(0'(x1)))))))))))))))))) [1]
   0'(c_2(c_0(c_1(c_3(c_1(c_0(c_0(c_3(c_2(c_0(c_2(c_2(c_3(c_0(c_1(c_0(c_0(x1)))))))))))))))))) -> 1'(0'(0'(3'(2'(1'(2'(2'(2'(0'(0'(3'(1'(0'(0'(0'(3'(0'(x1)))))))))))))))))) [1]
   2'(c_0(c_2(c_0(c_3(c_0(c_0(c_2(c_2(c_1(c_1(c_0(c_3(c_1(c_0(c_3(c_1(c_1(x1)))))))))))))))))) -> 2'(0'(0'(3'(3'(2'(2'(1'(0'(1'(0'(1'(0'(3'(2'(1'(0'(1'(x1)))))))))))))))))) [1]
   1'(c_3(c_1(c_3(c_2(c_0(c_0(c_0(c_1(c_3(c_1(c_0(c_2(c_2(c_2(c_1(c_0(c_2(x1)))))))))))))))))) -> 1'(0'(1'(1'(2'(2'(0'(3'(3'(0'(1'(0'(1'(2'(2'(3'(0'(2'(x1)))))))))))))))))) [1]
   2'(c_2(c_0(c_0(c_3(c_0(c_1(c_3(c_1(c_0(c_2(c_2(c_2(c_3(c_0(c_1(c_2(c_0(x1)))))))))))))))))) -> 0'(2'(0'(3'(2'(3'(2'(1'(0'(2'(0'(2'(1'(0'(1'(0'(2'(3'(x1)))))))))))))))))) [1]
   3'(c_2(c_0(c_0(c_0(c_2(c_3(c_3(c_1(c_1(c_0(c_1(c_3(c_2(c_3(c_3(c_0(c_0(x1)))))))))))))))))) -> 3'(0'(2'(1'(2'(3'(3'(0'(3'(1'(0'(1'(2'(3'(3'(0'(0'(0'(x1)))))))))))))))))) [1]
   3'(c_0(c_3(c_2(c_2(c_0(c_2(c_0(c_0(c_0(c_1(c_3(c_2(c_3(c_3(c_0(c_3(c_0(x1)))))))))))))))))) -> 3'(0'(2'(0'(1'(2'(2'(0'(3'(0'(2'(0'(3'(0'(3'(3'(3'(0'(x1)))))))))))))))))) [1]
   1'(c_0(c_0(c_0(c_3(c_0(c_2(c_1(c_3(c_3(c_1(c_2(c_2(c_3(c_1(c_3(c_2(c_1(x1)))))))))))))))))) -> 1'(2'(1'(3'(3'(0'(3'(0'(3'(1'(0'(2'(2'(3'(1'(0'(2'(1'(x1)))))))))))))))))) [1]
   0'(c_1(c_2(c_2(c_3(c_1(c_3(c_3(c_1(c_3(c_2(c_2(c_3(c_3(c_0(c_2(c_0(c_2(x1)))))))))))))))))) -> 0'(1'(2'(3'(0'(3'(3'(3'(3'(2'(2'(1'(2'(0'(2'(3'(1'(2'(x1)))))))))))))))))) [1]
   1'(c_3(c_3(c_1(c_3(c_1(c_3(c_0(c_1(c_0(c_2(c_3(c_1(c_1(c_1(c_3(c_0(c_3(x1)))))))))))))))))) -> 1'(1'(1'(2'(1'(3'(0'(0'(3'(3'(3'(0'(1'(1'(3'(3'(1'(3'(x1)))))))))))))))))) [1]
   2'(c_0(c_0(c_0(c_1(c_1(c_3(c_1(c_1(c_1(c_2(c_2(c_2(c_2(c_2(c_0(c_1(c_3(x1)))))))))))))))))) -> 2'(0'(1'(2'(0'(0'(3'(2'(2'(1'(1'(1'(1'(2'(2'(1'(3'(0'(x1)))))))))))))))))) [1]
   3'(c_0(c_2(c_2(c_0(c_1(c_2(c_0(c_0(c_2(c_0(c_2(c_2(c_2(c_3(c_1(c_0(c_2(x1)))))))))))))))))) -> 0'(2'(1'(2'(2'(3'(0'(0'(3'(2'(2'(1'(2'(0'(2'(0'(0'(2'(x1)))))))))))))))))) [1]
   1'(c_2(c_2(c_2(c_2(c_0(c_3(c_3(c_2(c_1(c_3(c_0(c_2(c_1(c_3(c_2(c_0(c_3(x1)))))))))))))))))) -> 1'(2'(2'(1'(2'(1'(2'(0'(2'(3'(2'(2'(0'(0'(3'(3'(3'(3'(x1)))))))))))))))))) [1]
   0'(c_3(c_1(c_1(c_2(c_2(c_0(c_0(c_0(c_1(c_3(c_2(c_3(c_3(c_3(c_3(c_3(c_3(x1)))))))))))))))))) -> 3'(0'(3'(2'(3'(3'(0'(0'(3'(2'(1'(1'(0'(3'(1'(2'(3'(3'(x1)))))))))))))))))) [1]
   0'(c_3(c_1(c_2(c_1(c_0(c_2(c_1(c_3(c_0(c_3(c_2(c_3(c_2(c_3(c_0(c_1(c_2(x1)))))))))))))))))) -> 3'(0'(2'(3'(0'(3'(1'(2'(1'(2'(3'(0'(3'(1'(0'(2'(1'(2'(x1)))))))))))))))))) [1]
   2'(c_0(c_3(c_1(c_0(c_3(c_2(c_1(c_0(c_2(c_3(c_1(c_0(c_2(c_2(c_1(c_1(c_1(x1)))))))))))))))))) -> 2'(1'(2'(2'(2'(0'(1'(1'(0'(0'(3'(3'(1'(3'(0'(2'(1'(1'(x1)))))))))))))))))) [1]
   2'(c_1(c_2(c_1(c_3(c_0(c_2(c_2(c_3(c_2(c_3(c_1(c_1(c_1(c_3(c_3(c_0(c_2(x1)))))))))))))))))) -> 2'(1'(2'(1'(3'(2'(1'(2'(3'(2'(3'(3'(0'(0'(3'(1'(2'(1'(x1)))))))))))))))))) [1]
   3'(c_3(c_2(c_1(c_3(c_2(c_0(c_2(c_0(c_0(c_3(c_1(c_3(c_0(c_2(c_0(c_2(c_2(x1)))))))))))))))))) -> 2'(0'(1'(3'(2'(2'(2'(1'(2'(3'(3'(0'(3'(0'(0'(0'(3'(2'(x1)))))))))))))))))) [1]
   3'(c_0(c_2(c_2(c_3(c_2(c_2(c_3(c_2(c_2(c_3(c_3(c_2(c_0(c_1(c_3(c_2(c_3(x1)))))))))))))))))) -> 0'(3'(3'(2'(1'(3'(3'(2'(2'(3'(2'(2'(2'(0'(3'(2'(2'(3'(x1)))))))))))))))))) [1]
   2'(c_2(c_1(c_3(c_3(c_0(c_0(c_2(c_1(c_3(c_0(c_1(c_2(c_2(c_2(c_2(c_3(c_3(x1)))))))))))))))))) -> 2'(0'(2'(2'(0'(2'(1'(0'(3'(2'(2'(1'(1'(3'(2'(3'(3'(3'(x1)))))))))))))))))) [1]
   3'(c_0(c_1(c_2(c_1(c_0(c_2(c_1(c_1(c_3(c_0(c_1(c_2(c_3(c_1(c_1(c_1(c_1(x1)))))))))))))))))) -> 3'(3'(1'(1'(1'(0'(1'(2'(1'(1'(1'(2'(2'(3'(0'(1'(0'(1'(x1)))))))))))))))))) [1]
   3'(c_3(c_2(c_1(c_3(c_0(c_0(c_1(c_3(c_2(c_0(c_0(c_2(c_3(c_3(c_0(c_0(c_2(x1)))))))))))))))))) -> 3'(0'(0'(3'(0'(3'(0'(1'(2'(0'(3'(1'(3'(0'(3'(2'(2'(2'(x1)))))))))))))))))) [1]
   0'(c_1(c_2(c_3(c_0(c_2(c_1(c_1(c_3(c_3(c_3(c_2(c_3(c_1(c_3(c_1(c_3(c_1(x1)))))))))))))))))) -> 2'(1'(3'(2'(3'(1'(1'(3'(3'(0'(3'(3'(0'(3'(2'(1'(1'(1'(x1)))))))))))))))))) [1]
   2'(c_1(c_2(c_3(c_1(c_3(c_2(c_0(c_2(c_2(c_3(c_3(c_3(c_2(c_3(c_1(c_3(c_3(x1)))))))))))))))))) -> 2'(3'(3'(2'(2'(1'(3'(2'(3'(2'(1'(0'(3'(3'(1'(2'(3'(3'(x1)))))))))))))))))) [1]
   1'(c_3(c_0(c_2(c_0(c_3(c_2(c_2(c_1(c_3(c_2(c_3(c_2(c_2(c_2(c_1(c_3(c_2(x1)))))))))))))))))) -> 1'(3'(2'(1'(2'(2'(3'(3'(3'(2'(1'(3'(2'(0'(0'(2'(2'(2'(x1)))))))))))))))))) [1]
   3'(c_3(c_0(c_2(c_0(c_2(c_0(c_1(c_2(c_0(c_2(c_3(c_0(c_2(c_2(c_0(c_3(c_3(x1)))))))))))))))))) -> 3'(2'(0'(3'(2'(0'(0'(0'(3'(0'(3'(2'(2'(2'(1'(2'(0'(3'(x1)))))))))))))))))) [1]
   1'(c_3(c_2(c_2(c_0(c_3(c_1(c_1(c_3(c_1(c_3(c_0(c_2(c_1(c_2(c_2(c_0(c_3(x1)))))))))))))))))) -> 1'(1'(2'(1'(0'(1'(2'(3'(3'(0'(3'(0'(3'(2'(2'(1'(2'(3'(x1)))))))))))))))))) [1]
   0'(c_0(c_2(c_0(c_1(c_1(c_3(c_0(c_2(c_3(c_2(c_2(c_0(c_2(c_3(c_3(c_1(c_2(x1)))))))))))))))))) -> 0'(0'(3'(2'(1'(0'(0'(3'(1'(3'(0'(3'(2'(2'(1'(2'(2'(2'(x1)))))))))))))))))) [1]
   0'(c_3(c_3(c_2(c_3(c_1(c_3(c_2(c_0(c_0(c_2(c_1(c_3(c_1(c_3(c_2(c_3(c_3(x1)))))))))))))))))) -> 3'(2'(2'(3'(2'(0'(1'(2'(1'(3'(1'(3'(0'(3'(0'(3'(3'(3'(x1)))))))))))))))))) [1]
   0'(c_0(c_1(c_3(c_1(c_0(c_0(c_1(c_3(c_3(c_0(c_0(c_1(c_2(c_2(c_1(c_1(c_1(x1)))))))))))))))))) -> 3'(3'(0'(2'(0'(0'(0'(0'(1'(0'(2'(1'(3'(1'(1'(1'(1'(1'(x1)))))))))))))))))) [1]
   3'(c_2(c_2(c_1(c_2(c_2(c_3(c_1(c_1(c_2(c_0(c_1(c_3(c_1(c_2(c_2(c_1(c_1(x1)))))))))))))))))) -> 3'(1'(1'(1'(2'(2'(1'(3'(2'(3'(2'(2'(1'(1'(2'(0'(2'(1'(x1)))))))))))))))))) [1]
   2'(c_0(c_1(c_0(c_1(c_2(c_2(c_2(c_2(c_3(c_3(c_1(c_1(c_1(c_1(c_2(c_1(c_2(x1)))))))))))))))))) -> 0'(2'(2'(1'(1'(1'(2'(1'(0'(3'(3'(2'(2'(1'(1'(2'(1'(2'(x1)))))))))))))))))) [1]
   3'(c_2(c_2(c_2(c_3(c_2(c_3(c_0(c_1(c_3(c_2(c_1(c_3(c_2(c_3(c_0(c_2(c_1(x1)))))))))))))))))) -> 0'(0'(3'(3'(2'(1'(2'(1'(3'(3'(3'(3'(2'(2'(2'(2'(2'(1'(x1)))))))))))))))))) [1]
   3'(c_1(c_3(c_2(c_1(c_1(c_3(c_1(c_2(c_2(c_1(c_3(c_2(c_3(c_1(c_0(c_3(c_1(x1)))))))))))))))))) -> 3'(1'(3'(3'(1'(2'(0'(1'(1'(2'(2'(1'(3'(3'(2'(3'(1'(1'(x1)))))))))))))))))) [1]
   1'(c_0(c_2(c_1(c_2(c_3(c_3(c_0(c_1(c_0(c_2(c_3(c_0(c_1(c_1(c_3(c_3(c_1(x1)))))))))))))))))) -> 1'(2'(1'(1'(1'(3'(0'(3'(0'(3'(1'(0'(3'(2'(2'(0'(3'(1'(x1)))))))))))))))))) [1]
   3'(c_2(c_1(c_3(c_1(c_2(c_2(c_2(c_3(c_3(c_0(c_2(c_1(c_3(c_0(c_2(c_0(c_2(x1)))))))))))))))))) -> 3'(3'(3'(2'(3'(2'(2'(0'(2'(2'(1'(0'(3'(2'(1'(2'(1'(0'(x1)))))))))))))))))) [1]
   3'(c_1(c_0(c_0(c_3(c_0(c_0(c_0(c_0(c_1(c_2(c_0(c_2(c_0(c_2(c_0(c_0(c_1(x1)))))))))))))))))) -> 3'(0'(0'(0'(0'(0'(2'(0'(0'(0'(0'(3'(0'(2'(1'(1'(2'(1'(x1)))))))))))))))))) [1]
   2'(c_3(c_0(c_1(c_3(c_1(c_3(c_3(c_0(c_3(c_0(c_2(c_0(c_3(c_1(c_3(c_2(c_3(x1)))))))))))))))))) -> 0'(2'(0'(3'(3'(3'(2'(1'(3'(0'(3'(3'(3'(3'(1'(1'(2'(0'(x1)))))))))))))))))) [1]
   3'(c_3(c_0(c_3(c_1(c_0(c_0(c_2(c_2(c_2(c_0(c_0(c_0(c_2(c_2(c_1(c_3(c_2(x1)))))))))))))))))) -> 0'(3'(2'(0'(3'(3'(1'(2'(1'(2'(2'(0'(3'(0'(0'(0'(2'(2'(x1)))))))))))))))))) [1]
   1'(c_0(c_2(c_0(c_0(c_0(c_1(c_2(c_3(c_0(c_1(c_2(c_2(c_2(c_1(c_2(c_2(c_0(x1)))))))))))))))))) -> 1'(2'(2'(0'(0'(1'(1'(0'(0'(2'(2'(2'(2'(1'(2'(0'(0'(3'(x1)))))))))))))))))) [1]
   encArg(cons_0(x_1)) -> 0'(encArg(x_1)) [0]
   encArg(cons_1(x_1)) -> 1'(encArg(x_1)) [0]
   encArg(cons_2(x_1)) -> 2'(encArg(x_1)) [0]
   encArg(cons_3(x_1)) -> 3'(encArg(x_1)) [0]
   encode_0(x_1) -> 0'(encArg(x_1)) [0]
   encode_1(x_1) -> 1'(encArg(x_1)) [0]
   encode_3(x_1) -> 3'(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_1(v0) -> null_encode_1 [0]
   encode_3(v0) -> null_encode_3 [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:
2' :: c_3:c_2:c_1:c_0:null_encArg:null_encode_0:null_encode_1:null_encode_3:null_encode_2:null_0':null_1':null_2':null_3' -> c_3:c_2:c_1:c_0:null_encArg:null_encode_0:null_encode_1:null_encode_3:null_encode_2:null_0':null_1':null_2':null_3'
c_2 :: c_3:c_2:c_1:c_0:null_encArg:null_encode_0:null_encode_1:null_encode_3:null_encode_2:null_0':null_1':null_2':null_3' -> c_3:c_2:c_1:c_0:null_encArg:null_encode_0:null_encode_1:null_encode_3:null_encode_2:null_0':null_1':null_2':null_3'
c_3 :: c_3:c_2:c_1:c_0:null_encArg:null_encode_0:null_encode_1:null_encode_3:null_encode_2:null_0':null_1':null_2':null_3' -> c_3:c_2:c_1:c_0:null_encArg:null_encode_0:null_encode_1:null_encode_3:null_encode_2:null_0':null_1':null_2':null_3'
c_0 :: c_3:c_2:c_1:c_0:null_encArg:null_encode_0:null_encode_1:null_encode_3:null_encode_2:null_0':null_1':null_2':null_3' -> c_3:c_2:c_1:c_0:null_encArg:null_encode_0:null_encode_1:null_encode_3:null_encode_2:null_0':null_1':null_2':null_3'
c_1 :: c_3:c_2:c_1:c_0:null_encArg:null_encode_0:null_encode_1:null_encode_3:null_encode_2:null_0':null_1':null_2':null_3' -> c_3:c_2:c_1:c_0:null_encArg:null_encode_0:null_encode_1:null_encode_3:null_encode_2:null_0':null_1':null_2':null_3'
1' :: c_3:c_2:c_1:c_0:null_encArg:null_encode_0:null_encode_1:null_encode_3:null_encode_2:null_0':null_1':null_2':null_3' -> c_3:c_2:c_1:c_0:null_encArg:null_encode_0:null_encode_1:null_encode_3:null_encode_2:null_0':null_1':null_2':null_3'
3' :: c_3:c_2:c_1:c_0:null_encArg:null_encode_0:null_encode_1:null_encode_3:null_encode_2:null_0':null_1':null_2':null_3' -> c_3:c_2:c_1:c_0:null_encArg:null_encode_0:null_encode_1:null_encode_3:null_encode_2:null_0':null_1':null_2':null_3'
0' :: c_3:c_2:c_1:c_0:null_encArg:null_encode_0:null_encode_1:null_encode_3:null_encode_2:null_0':null_1':null_2':null_3' -> c_3:c_2:c_1:c_0:null_encArg:null_encode_0:null_encode_1:null_encode_3:null_encode_2:null_0':null_1':null_2':null_3'
encArg :: cons_0:cons_1:cons_2:cons_3 -> c_3:c_2:c_1:c_0:null_encArg:null_encode_0:null_encode_1:null_encode_3: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_3:c_2:c_1:c_0:null_encArg:null_encode_0:null_encode_1:null_encode_3:null_encode_2:null_0':null_1':null_2':null_3'
encode_1 :: cons_0:cons_1:cons_2:cons_3 -> c_3:c_2:c_1:c_0:null_encArg:null_encode_0:null_encode_1:null_encode_3:null_encode_2:null_0':null_1':null_2':null_3'
encode_3 :: cons_0:cons_1:cons_2:cons_3 -> c_3:c_2:c_1:c_0:null_encArg:null_encode_0:null_encode_1:null_encode_3:null_encode_2:null_0':null_1':null_2':null_3'
encode_2 :: cons_0:cons_1:cons_2:cons_3 -> c_3:c_2:c_1:c_0:null_encArg:null_encode_0:null_encode_1:null_encode_3:null_encode_2:null_0':null_1':null_2':null_3'
null_encArg :: c_3:c_2:c_1:c_0:null_encArg:null_encode_0:null_encode_1:null_encode_3:null_encode_2:null_0':null_1':null_2':null_3'
null_encode_0 :: c_3:c_2:c_1:c_0:null_encArg:null_encode_0:null_encode_1:null_encode_3:null_encode_2:null_0':null_1':null_2':null_3'
null_encode_1 :: c_3:c_2:c_1:c_0:null_encArg:null_encode_0:null_encode_1:null_encode_3:null_encode_2:null_0':null_1':null_2':null_3'
null_encode_3 :: c_3:c_2:c_1:c_0:null_encArg:null_encode_0:null_encode_1:null_encode_3:null_encode_2:null_0':null_1':null_2':null_3'
null_encode_2 :: c_3:c_2:c_1:c_0:null_encArg:null_encode_0:null_encode_1:null_encode_3:null_encode_2:null_0':null_1':null_2':null_3'
null_0' :: c_3:c_2:c_1:c_0:null_encArg:null_encode_0:null_encode_1:null_encode_3:null_encode_2:null_0':null_1':null_2':null_3'
null_1' :: c_3:c_2:c_1:c_0:null_encArg:null_encode_0:null_encode_1:null_encode_3:null_encode_2:null_0':null_1':null_2':null_3'
null_2' :: c_3:c_2:c_1:c_0:null_encArg:null_encode_0:null_encode_1:null_encode_3:null_encode_2:null_0':null_1':null_2':null_3'
null_3' :: c_3:c_2:c_1:c_0:null_encArg:null_encode_0:null_encode_1:null_encode_3: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_1 => 0
   null_encode_3 => 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'(3'(0'(2'(0'(0'(0'(0'(1'(0'(2'(1'(3'(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
   0'(z) -{ 1 }-> 3'(2'(2'(3'(2'(0'(1'(2'(1'(3'(1'(3'(0'(3'(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
   0'(z) -{ 1 }-> 3'(0'(3'(2'(3'(3'(0'(0'(3'(2'(1'(1'(0'(3'(1'(2'(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) -{ 1 }-> 3'(0'(3'(2'(2'(1'(1'(1'(2'(0'(1'(1'(2'(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 }-> 3'(0'(2'(3'(0'(3'(1'(2'(1'(2'(3'(0'(3'(1'(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
   0'(z) -{ 1 }-> 3'(0'(2'(3'(0'(3'(0'(3'(0'(0'(1'(2'(3'(3'(1'(2'(2'(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 }-> 3'(0'(0'(3'(1'(1'(0'(0'(2'(1'(2'(2'(0'(1'(1'(0'(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) -{ 1 }-> 2'(3'(0'(3'(3'(3'(1'(1'(3'(0'(3'(1'(3'(2'(3'(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
   0'(z) -{ 1 }-> 2'(3'(0'(3'(3'(3'(1'(0'(0'(1'(2'(1'(3'(2'(3'(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
   0'(z) -{ 1 }-> 2'(1'(3'(2'(3'(1'(1'(3'(3'(0'(3'(3'(0'(3'(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 }-> 2'(0'(0'(3'(1'(2'(2'(1'(2'(0'(1'(0'(1'(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
   0'(z) -{ 1 }-> 1'(0'(0'(3'(2'(1'(2'(2'(2'(0'(0'(3'(1'(0'(0'(0'(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'(0'(0'(3'(3'(2'(0'(1'(1'(0'(2'(3'(0'(0'(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) -{ 1 }-> 0'(2'(1'(2'(0'(2'(1'(2'(0'(3'(0'(0'(3'(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
   0'(z) -{ 1 }-> 0'(1'(2'(3'(0'(3'(3'(3'(3'(2'(2'(1'(2'(0'(2'(3'(1'(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'(1'(2'(3'(0'(3'(3'(0'(2'(0'(1'(0'(2'(1'(3'(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
   0'(z) -{ 1 }-> 0'(0'(3'(2'(2'(0'(2'(0'(0'(0'(2'(2'(0'(3'(0'(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
   0'(z) -{ 1 }-> 0'(0'(3'(2'(1'(0'(0'(3'(1'(3'(0'(3'(2'(2'(1'(2'(2'(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'(0'(1'(1'(3'(0'(3'(3'(1'(2'(0'(2'(3'(0'(2'(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
   0'(z) -{ 1 }-> 0'(0'(0'(3'(2'(0'(1'(3'(0'(2'(1'(0'(0'(1'(2'(0'(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) -{ 0 }-> 0 :|: v0 >= 0, z = v0
   0'(z) -{ 0 }-> 1 + x0 :|: z = x0, x0 >= 0
   1'(z) -{ 1 }-> 1'(3'(2'(1'(2'(2'(3'(3'(3'(2'(1'(3'(2'(0'(0'(2'(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'(2'(2'(1'(2'(1'(2'(0'(2'(3'(2'(2'(0'(0'(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'(2'(2'(0'(0'(1'(1'(0'(0'(2'(2'(2'(2'(1'(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
   1'(z) -{ 1 }-> 1'(2'(1'(3'(3'(0'(3'(0'(3'(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
   1'(z) -{ 1 }-> 1'(2'(1'(1'(1'(3'(0'(3'(0'(3'(1'(0'(3'(2'(2'(0'(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'(1'(2'(2'(3'(2'(1'(0'(0'(3'(2'(3'(0'(0'(0'(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'(2'(1'(1'(3'(0'(3'(3'(2'(1'(2'(0'(3'(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'(1'(2'(1'(1'(0'(0'(2'(3'(0'(0'(0'(0'(1'(1'(0'(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'(1'(2'(1'(0'(1'(2'(3'(3'(0'(3'(0'(3'(2'(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
   1'(z) -{ 1 }-> 1'(1'(1'(2'(1'(3'(0'(0'(3'(3'(3'(0'(1'(1'(3'(3'(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'(2'(3'(3'(3'(3'(0'(2'(0'(3'(1'(0'(3'(1'(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
   1'(z) -{ 1 }-> 1'(0'(1'(1'(2'(2'(0'(3'(3'(0'(1'(0'(1'(2'(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'(1'(3'(3'(2'(3'(0'(1'(2'(1'(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) -{ 0 }-> 0 :|: v0 >= 0, z = v0
   1'(z) -{ 0 }-> 1 + x0 :|: z = x0, x0 >= 0
   2'(z) -{ 1 }-> 2'(3'(3'(2'(2'(1'(3'(2'(3'(2'(1'(0'(3'(3'(1'(2'(3'(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'(3'(3'(2'(1'(2'(0'(3'(1'(2'(2'(1'(0'(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
   2'(z) -{ 1 }-> 2'(3'(1'(2'(2'(1'(2'(2'(1'(0'(2'(2'(2'(2'(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
   2'(z) -{ 1 }-> 2'(2'(2'(1'(1'(2'(3'(2'(3'(2'(2'(0'(3'(1'(2'(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
   2'(z) -{ 1 }-> 2'(2'(1'(2'(1'(3'(1'(1'(2'(3'(2'(2'(0'(1'(2'(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'(2'(2'(2'(0'(1'(1'(0'(0'(3'(3'(1'(3'(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
   2'(z) -{ 1 }-> 2'(1'(2'(2'(1'(0'(0'(3'(3'(0'(1'(2'(2'(2'(2'(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'(1'(3'(2'(1'(2'(3'(2'(3'(3'(0'(0'(3'(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
   2'(z) -{ 1 }-> 2'(1'(0'(3'(0'(3'(0'(3'(3'(3'(0'(0'(0'(0'(2'(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
   2'(z) -{ 1 }-> 2'(0'(2'(2'(0'(2'(1'(0'(3'(2'(2'(1'(1'(3'(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
   2'(z) -{ 1 }-> 2'(0'(1'(2'(0'(0'(3'(2'(2'(1'(1'(1'(1'(2'(2'(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
   2'(z) -{ 1 }-> 2'(0'(0'(3'(3'(2'(2'(1'(0'(1'(0'(1'(0'(3'(2'(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
   2'(z) -{ 1 }-> 2'(0'(0'(2'(3'(0'(3'(3'(0'(3'(2'(0'(1'(2'(2'(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
   2'(z) -{ 1 }-> 0'(3'(1'(0'(2'(2'(1'(2'(2'(1'(3'(3'(3'(1'(0'(2'(3'(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 }-> 0'(2'(2'(3'(3'(1'(1'(2'(0'(2'(1'(1'(2'(1'(0'(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
   2'(z) -{ 1 }-> 0'(2'(2'(2'(0'(2'(1'(0'(0'(3'(0'(0'(1'(2'(2'(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
   2'(z) -{ 1 }-> 0'(2'(2'(1'(1'(1'(2'(1'(0'(3'(3'(2'(2'(1'(1'(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 }-> 0'(2'(1'(1'(2'(2'(0'(3'(3'(0'(1'(1'(2'(2'(1'(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
   2'(z) -{ 1 }-> 0'(2'(0'(3'(3'(3'(2'(1'(3'(0'(3'(3'(3'(3'(1'(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
   2'(z) -{ 1 }-> 0'(2'(0'(3'(2'(3'(2'(1'(0'(2'(0'(2'(1'(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
   2'(z) -{ 1 }-> 0'(1'(2'(1'(0'(1'(2'(1'(0'(0'(1'(1'(2'(3'(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
   2'(z) -{ 1 }-> 0'(0'(3'(0'(3'(2'(1'(2'(1'(2'(2'(1'(2'(0'(0'(0'(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) -{ 0 }-> 0 :|: v0 >= 0, z = v0
   2'(z) -{ 0 }-> 1 + x0 :|: z = x0, x0 >= 0
   3'(z) -{ 1 }-> 3'(3'(3'(2'(3'(2'(2'(0'(2'(2'(1'(0'(3'(2'(1'(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
   3'(z) -{ 1 }-> 3'(3'(3'(1'(1'(3'(1'(3'(3'(3'(2'(3'(0'(3'(1'(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'(3'(1'(2'(2'(3'(0'(1'(0'(3'(3'(3'(1'(1'(1'(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
   3'(z) -{ 1 }-> 3'(3'(1'(1'(1'(0'(1'(2'(1'(1'(1'(2'(2'(3'(0'(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
   3'(z) -{ 1 }-> 3'(2'(0'(3'(2'(0'(0'(0'(3'(0'(3'(2'(2'(2'(1'(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'(1'(3'(3'(1'(2'(0'(1'(1'(2'(2'(1'(3'(3'(2'(3'(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'(1'(1'(1'(2'(2'(1'(3'(2'(3'(2'(2'(1'(1'(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
   3'(z) -{ 1 }-> 3'(1'(0'(3'(1'(1'(0'(2'(2'(2'(3'(1'(2'(1'(1'(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
   3'(z) -{ 1 }-> 3'(0'(3'(2'(2'(2'(0'(3'(3'(3'(2'(2'(3'(2'(1'(3'(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'(0'(2'(3'(2'(0'(3'(1'(2'(0'(2'(1'(0'(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
   3'(z) -{ 1 }-> 3'(0'(2'(1'(2'(3'(3'(0'(3'(1'(0'(1'(2'(3'(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
   3'(z) -{ 1 }-> 3'(0'(2'(0'(1'(2'(2'(0'(3'(0'(2'(0'(3'(0'(3'(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
   3'(z) -{ 1 }-> 3'(0'(0'(3'(0'(3'(0'(1'(2'(0'(3'(1'(3'(0'(3'(2'(2'(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'(0'(0'(0'(0'(0'(2'(0'(0'(0'(0'(3'(0'(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 }-> 2'(3'(1'(1'(0'(1'(2'(0'(3'(3'(3'(2'(3'(2'(3'(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
   3'(z) -{ 1 }-> 2'(2'(0'(1'(2'(1'(0'(3'(3'(3'(0'(3'(2'(1'(3'(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
   3'(z) -{ 1 }-> 2'(1'(2'(1'(2'(3'(3'(0'(2'(3'(0'(3'(3'(3'(2'(0'(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 }-> 2'(0'(1'(3'(2'(2'(2'(1'(2'(3'(3'(0'(3'(0'(0'(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
   3'(z) -{ 1 }-> 0'(3'(3'(2'(1'(3'(3'(2'(2'(3'(2'(2'(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
   3'(z) -{ 1 }-> 0'(3'(2'(0'(3'(3'(1'(2'(1'(2'(2'(0'(3'(0'(0'(0'(2'(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 }-> 0'(2'(1'(2'(2'(3'(0'(0'(3'(2'(2'(1'(2'(0'(2'(0'(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 }-> 0'(0'(3'(3'(2'(1'(2'(1'(3'(3'(3'(3'(2'(2'(2'(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
   3'(z) -{ 1 }-> 0'(0'(3'(3'(1'(1'(0'(2'(2'(3'(1'(3'(3'(0'(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
   3'(z) -{ 1 }-> 0'(0'(3'(2'(3'(3'(0'(0'(0'(3'(2'(0'(1'(2'(3'(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
   3'(z) -{ 1 }-> 0'(0'(2'(1'(2'(3'(0'(3'(2'(0'(2'(0'(0'(3'(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) -{ 0 }-> 0 :|: v0 >= 0, z = v0
   3'(z) -{ 0 }-> 1 + x0 :|: z = x0, x0 >= 0
   encArg(z) -{ 0 }-> 3'(encArg(x_1)) :|: z = 1 + x_1, x_1 >= 0
   encArg(z) -{ 0 }-> 2'(encArg(x_1)) :|: z = 1 + x_1, x_1 >= 0
   encArg(z) -{ 0 }-> 1'(encArg(x_1)) :|: z = 1 + x_1, x_1 >= 0
   encArg(z) -{ 0 }-> 0'(encArg(x_1)) :|: z = 1 + x_1, x_1 >= 0
   encArg(z) -{ 0 }-> 0 :|: v0 >= 0, z = v0
   encode_0(z) -{ 0 }-> 0'(encArg(x_1)) :|: x_1 >= 0, z = x_1
   encode_0(z) -{ 0 }-> 0 :|: v0 >= 0, z = v0
   encode_1(z) -{ 0 }-> 1'(encArg(x_1)) :|: x_1 >= 0, z = x_1
   encode_1(z) -{ 0 }-> 0 :|: v0 >= 0, z = v0
   encode_2(z) -{ 0 }-> 2'(encArg(x_1)) :|: x_1 >= 0, z = x_1
   encode_2(z) -{ 0 }-> 0 :|: v0 >= 0, z = v0
   encode_3(z) -{ 0 }-> 3'(encArg(x_1)) :|: x_1 >= 0, z = x_1
   encode_3(z) -{ 0 }-> 0 :|: v0 >= 0, z = v0

Only complete derivations are relevant for the runtime complexity.

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

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

(38)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(cons_0(z0)) -> 0(encArg(z0))
   encArg(cons_1(z0)) -> 1(encArg(z0))
   encArg(cons_2(z0)) -> 2(encArg(z0))
   encArg(cons_3(z0)) -> 3(encArg(z0))
   encode_0(z0) -> 0(encArg(z0))
   encode_1(z0) -> 1(encArg(z0))
   encode_3(z0) -> 3(encArg(z0))
   encode_2(z0) -> 2(encArg(z0))
   0(z0) -> c_0(z0)
   0(c_0(c_2(c_0(c_3(c_3(c_2(c_3(c_1(c_3(c_1(c_0(c_2(c_1(c_3(c_0(c_2(c_0(z0)))))))))))))))))) -> 0(0(1(1(3(0(3(3(1(2(0(2(3(0(2(2(0(3(z0))))))))))))))))))
   0(c_0(c_2(c_0(c_3(c_0(c_2(c_2(c_3(c_0(c_2(c_0(c_0(c_2(c_3(c_0(c_0(c_2(z0)))))))))))))))))) -> 0(0(3(2(2(0(2(0(0(0(2(2(0(3(0(0(3(2(z0))))))))))))))))))
   0(c_0(c_0(c_1(c_3(c_3(c_2(c_2(c_3(c_0(c_0(c_1(c_3(c_2(c_2(c_3(c_3(c_2(z0)))))))))))))))))) -> 3(0(2(3(0(3(0(3(0(0(1(2(3(3(1(2(2(2(z0))))))))))))))))))
   0(c_0(c_0(c_2(c_2(c_3(c_0(c_0(c_1(c_0(c_0(c_0(c_1(c_0(c_3(c_1(c_2(c_2(z0)))))))))))))))))) -> 0(0(0(3(2(0(1(3(0(2(1(0(0(1(2(0(0(2(z0))))))))))))))))))
   0(c_1(c_0(c_2(c_2(c_1(c_2(c_1(c_3(c_1(c_1(c_2(c_0(c_1(c_2(c_0(c_1(c_0(z0)))))))))))))))))) -> 2(0(0(3(1(2(2(1(2(0(1(0(1(2(1(1(1(0(z0))))))))))))))))))
   0(c_2(c_1(c_0(c_2(c_0(c_3(c_0(c_1(c_0(c_2(c_0(c_2(c_0(c_1(c_2(c_0(c_3(z0)))))))))))))))))) -> 0(2(1(2(0(2(1(2(0(3(0(0(3(2(1(0(0(0(z0))))))))))))))))))
   0(c_1(c_2(c_3(c_3(c_3(c_1(c_3(c_3(c_3(c_2(c_3(c_1(c_2(c_0(c_1(c_3(c_1(z0)))))))))))))))))) -> 2(3(0(3(3(3(1(1(3(0(3(1(3(2(3(1(2(1(z0))))))))))))))))))
   0(c_1(c_1(c_1(c_3(c_0(c_1(c_3(c_1(c_2(c_0(c_2(c_1(c_2(c_2(c_0(c_3(c_0(z0)))))))))))))))))) -> 3(0(3(2(2(1(1(1(2(0(1(1(2(1(3(0(0(0(z0))))))))))))))))))
   0(c_1(c_3(c_2(c_3(c_1(c_1(c_3(c_2(c_2(c_0(c_0(c_1(c_3(c_2(c_3(c_3(c_3(z0)))))))))))))))))) -> 2(3(0(3(3(3(1(0(0(1(2(1(3(2(3(2(1(3(z0))))))))))))))))))
   0(c_1(c_0(c_0(c_2(c_2(c_2(c_3(c_2(c_1(c_3(c_2(c_3(c_3(c_1(c_0(c_1(c_0(z0)))))))))))))))))) -> 0(1(2(3(0(3(3(0(2(0(1(0(2(1(3(2(1(2(z0))))))))))))))))))
   0(c_3(c_2(c_3(c_1(c_0(c_0(c_1(c_0(c_0(c_1(c_2(c_3(c_2(c_1(c_1(c_0(c_1(z0)))))))))))))))))) -> 3(0(0(3(1(1(0(0(2(1(2(2(0(1(1(0(3(1(z0))))))))))))))))))
   0(c_2(c_0(c_1(c_0(c_0(c_0(c_1(c_0(c_3(c_0(c_2(c_3(c_3(c_3(c_3(c_0(c_3(z0)))))))))))))))))) -> 0(3(0(0(0(3(3(2(0(1(1(0(2(3(0(0(3(3(z0))))))))))))))))))
   0(c_2(c_0(c_1(c_3(c_1(c_0(c_0(c_3(c_2(c_0(c_2(c_2(c_3(c_0(c_1(c_0(c_0(z0)))))))))))))))))) -> 1(0(0(3(2(1(2(2(2(0(0(3(1(0(0(0(3(0(z0))))))))))))))))))
   0(c_1(c_2(c_2(c_3(c_1(c_3(c_3(c_1(c_3(c_2(c_2(c_3(c_3(c_0(c_2(c_0(c_2(z0)))))))))))))))))) -> 0(1(2(3(0(3(3(3(3(2(2(1(2(0(2(3(1(2(z0))))))))))))))))))
   0(c_3(c_1(c_1(c_2(c_2(c_0(c_0(c_0(c_1(c_3(c_2(c_3(c_3(c_3(c_3(c_3(c_3(z0)))))))))))))))))) -> 3(0(3(2(3(3(0(0(3(2(1(1(0(3(1(2(3(3(z0))))))))))))))))))
   0(c_3(c_1(c_2(c_1(c_0(c_2(c_1(c_3(c_0(c_3(c_2(c_3(c_2(c_3(c_0(c_1(c_2(z0)))))))))))))))))) -> 3(0(2(3(0(3(1(2(1(2(3(0(3(1(0(2(1(2(z0))))))))))))))))))
   0(c_1(c_2(c_3(c_0(c_2(c_1(c_1(c_3(c_3(c_3(c_2(c_3(c_1(c_3(c_1(c_3(c_1(z0)))))))))))))))))) -> 2(1(3(2(3(1(1(3(3(0(3(3(0(3(2(1(1(1(z0))))))))))))))))))
   0(c_0(c_2(c_0(c_1(c_1(c_3(c_0(c_2(c_3(c_2(c_2(c_0(c_2(c_3(c_3(c_1(c_2(z0)))))))))))))))))) -> 0(0(3(2(1(0(0(3(1(3(0(3(2(2(1(2(2(2(z0))))))))))))))))))
   0(c_3(c_3(c_2(c_3(c_1(c_3(c_2(c_0(c_0(c_2(c_1(c_3(c_1(c_3(c_2(c_3(c_3(z0)))))))))))))))))) -> 3(2(2(3(2(0(1(2(1(3(1(3(0(3(0(3(3(3(z0))))))))))))))))))
   0(c_0(c_1(c_3(c_1(c_0(c_0(c_1(c_3(c_3(c_0(c_0(c_1(c_2(c_2(c_1(c_1(c_1(z0)))))))))))))))))) -> 3(3(0(2(0(0(0(0(1(0(2(1(3(1(1(1(1(1(z0))))))))))))))))))
   1(z0) -> c_1(z0)
   1(c_2(c_3(c_0(c_1(c_0(c_3(c_1(c_2(c_3(c_1(c_1(c_1(c_1(c_3(c_2(c_3(c_0(z0)))))))))))))))))) -> 1(1(2(1(1(3(0(3(3(2(1(2(0(3(1(1(3(0(z0))))))))))))))))))
   1(c_3(c_1(c_3(c_1(c_1(c_1(c_2(c_1(c_3(c_0(c_1(c_2(c_1(c_3(c_1(c_1(c_0(z0)))))))))))))))))) -> 1(0(1(1(1(3(3(2(3(0(1(2(1(1(1(1(1(3(z0))))))))))))))))))
   1(c_1(c_0(c_3(c_1(c_2(c_0(c_0(c_1(c_3(c_2(c_1(c_2(c_0(c_3(c_0(c_2(c_2(z0)))))))))))))))))) -> 1(1(2(2(3(2(1(0(0(3(2(3(0(0(0(1(1(2(z0))))))))))))))))))
   1(c_2(c_2(c_0(c_3(c_1(c_3(c_0(c_0(c_1(c_3(c_3(c_0(c_3(c_2(c_3(c_1(c_2(z0)))))))))))))))))) -> 1(0(2(3(3(3(3(0(2(0(3(1(0(3(1(2(1(2(z0))))))))))))))))))
   1(c_1(c_0(c_0(c_0(c_2(c_0(c_1(c_0(c_1(c_1(c_0(c_3(c_2(c_1(c_0(c_0(c_2(z0)))))))))))))))))) -> 1(1(2(1(1(0(0(2(3(0(0(0(0(1(1(0(0(2(z0))))))))))))))))))
   1(c_3(c_1(c_3(c_2(c_0(c_0(c_0(c_1(c_3(c_1(c_0(c_2(c_2(c_2(c_1(c_0(c_2(z0)))))))))))))))))) -> 1(0(1(1(2(2(0(3(3(0(1(0(1(2(2(3(0(2(z0))))))))))))))))))
   1(c_0(c_0(c_0(c_3(c_0(c_2(c_1(c_3(c_3(c_1(c_2(c_2(c_3(c_1(c_3(c_2(c_1(z0)))))))))))))))))) -> 1(2(1(3(3(0(3(0(3(1(0(2(2(3(1(0(2(1(z0))))))))))))))))))
   1(c_3(c_3(c_1(c_3(c_1(c_3(c_0(c_1(c_0(c_2(c_3(c_1(c_1(c_1(c_3(c_0(c_3(z0)))))))))))))))))) -> 1(1(1(2(1(3(0(0(3(3(3(0(1(1(3(3(1(3(z0))))))))))))))))))
   1(c_2(c_2(c_2(c_2(c_0(c_3(c_3(c_2(c_1(c_3(c_0(c_2(c_1(c_3(c_2(c_0(c_3(z0)))))))))))))))))) -> 1(2(2(1(2(1(2(0(2(3(2(2(0(0(3(3(3(3(z0))))))))))))))))))
   1(c_3(c_0(c_2(c_0(c_3(c_2(c_2(c_1(c_3(c_2(c_3(c_2(c_2(c_2(c_1(c_3(c_2(z0)))))))))))))))))) -> 1(3(2(1(2(2(3(3(3(2(1(3(2(0(0(2(2(2(z0))))))))))))))))))
   1(c_3(c_2(c_2(c_0(c_3(c_1(c_1(c_3(c_1(c_3(c_0(c_2(c_1(c_2(c_2(c_0(c_3(z0)))))))))))))))))) -> 1(1(2(1(0(1(2(3(3(0(3(0(3(2(2(1(2(3(z0))))))))))))))))))
   1(c_0(c_2(c_1(c_2(c_3(c_3(c_0(c_1(c_0(c_2(c_3(c_0(c_1(c_1(c_3(c_3(c_1(z0)))))))))))))))))) -> 1(2(1(1(1(3(0(3(0(3(1(0(3(2(2(0(3(1(z0))))))))))))))))))
   1(c_0(c_2(c_0(c_0(c_0(c_1(c_2(c_3(c_0(c_1(c_2(c_2(c_2(c_1(c_2(c_2(c_0(z0)))))))))))))))))) -> 1(2(2(0(0(1(1(0(0(2(2(2(2(1(2(0(0(3(z0))))))))))))))))))
   2(z0) -> c_2(z0)
   2(c_2(c_2(c_3(c_0(c_1(c_3(c_2(c_1(c_3(c_3(c_2(c_1(c_2(c_2(c_1(c_2(c_3(z0)))))))))))))))))) -> 2(2(2(1(1(2(3(2(3(2(2(0(3(1(2(1(3(3(z0))))))))))))))))))
   2(c_2(c_1(c_3(c_1(c_3(c_0(c_0(c_2(c_1(c_2(c_2(c_2(c_1(c_1(c_1(c_0(c_1(z0)))))))))))))))))) -> 0(2(2(3(3(1(1(2(0(2(1(1(2(1(0(1(2(1(z0))))))))))))))))))
   2(c_0(c_0(c_1(c_3(c_1(c_3(c_2(c_1(c_0(c_0(c_2(c_2(c_2(c_0(c_2(c_0(c_3(z0)))))))))))))))))) -> 0(2(2(2(0(2(1(0(0(3(0(0(1(2(2(1(3(3(z0))))))))))))))))))
   2(c_3(c_2(c_3(c_1(c_2(c_0(c_1(c_3(c_0(c_1(c_3(c_2(c_1(c_0(c_2(c_3(c_3(z0)))))))))))))))))) -> 0(3(1(0(2(2(1(2(2(1(3(3(3(1(0(2(3(3(z0))))))))))))))))))
   2(c_1(c_2(c_2(c_2(c_2(c_2(c_0(c_1(c_3(c_2(c_0(c_0(c_1(c_2(c_3(c_1(c_2(z0)))))))))))))))))) -> 2(1(2(2(1(0(0(3(3(0(1(2(2(2(2(2(1(2(z0))))))))))))))))))
   2(c_2(c_3(c_2(c_2(c_3(c_1(c_0(c_2(c_3(c_1(c_1(c_1(c_0(c_0(c_1(c_0(c_2(z0)))))))))))))))))) -> 0(2(1(1(2(2(0(3(3(0(1(1(2(2(1(0(3(2(z0))))))))))))))))))
   2(c_3(c_3(c_2(c_1(c_0(c_3(c_0(c_0(c_0(c_3(c_3(c_1(c_3(c_0(c_0(c_0(c_3(z0)))))))))))))))))) -> 2(1(0(3(0(3(0(3(3(3(0(0(0(0(2(1(3(3(z0))))))))))))))))))
   2(c_1(c_0(c_3(c_1(c_3(c_1(c_2(c_2(c_2(c_2(c_1(c_2(c_3(c_1(c_3(c_0(c_2(z0)))))))))))))))))) -> 2(3(3(2(1(2(0(3(1(2(2(1(0(3(2(2(1(1(z0))))))))))))))))))
   2(c_2(c_3(c_1(c_1(c_1(c_3(c_1(c_2(c_0(c_1(c_2(c_2(c_0(c_1(c_2(c_2(c_2(z0)))))))))))))))))) -> 2(2(1(2(1(3(1(1(2(3(2(2(0(1(2(0(1(2(z0))))))))))))))))))
   2(c_2(c_2(c_2(c_3(c_2(c_0(c_1(c_3(c_1(c_2(c_2(c_2(c_1(c_3(c_2(c_3(c_3(z0)))))))))))))))))) -> 2(3(1(2(2(1(2(2(1(0(2(2(2(2(3(3(3(3(z0))))))))))))))))))
   2(c_0(c_2(c_2(c_3(c_1(c_0(c_3(c_2(c_3(c_0(c_3(c_2(c_0(c_0(c_2(c_0(c_2(z0)))))))))))))))))) -> 2(0(0(2(3(0(3(3(0(3(2(0(1(2(2(2(0(2(z0))))))))))))))))))
   2(c_1(c_3(c_0(c_0(c_2(c_2(c_1(c_1(c_3(c_1(c_3(c_1(c_0(c_0(c_2(c_1(c_2(z0)))))))))))))))))) -> 0(1(2(1(0(1(2(1(0(0(1(1(2(3(3(3(2(2(z0))))))))))))))))))
   2(c_0(c_3(c_0(c_0(c_1(c_3(c_1(c_2(c_0(c_2(c_1(c_3(c_0(c_2(c_2(c_0(c_0(z0)))))))))))))))))) -> 0(0(3(0(3(2(1(2(1(2(2(1(2(0(0(0(3(0(z0))))))))))))))))))
   2(c_0(c_2(c_0(c_3(c_0(c_0(c_2(c_2(c_1(c_1(c_0(c_3(c_1(c_0(c_3(c_1(c_1(z0)))))))))))))))))) -> 2(0(0(3(3(2(2(1(0(1(0(1(0(3(2(1(0(1(z0))))))))))))))))))
   2(c_2(c_0(c_0(c_3(c_0(c_1(c_3(c_1(c_0(c_2(c_2(c_2(c_3(c_0(c_1(c_2(c_0(z0)))))))))))))))))) -> 0(2(0(3(2(3(2(1(0(2(0(2(1(0(1(0(2(3(z0))))))))))))))))))
   2(c_0(c_0(c_0(c_1(c_1(c_3(c_1(c_1(c_1(c_2(c_2(c_2(c_2(c_2(c_0(c_1(c_3(z0)))))))))))))))))) -> 2(0(1(2(0(0(3(2(2(1(1(1(1(2(2(1(3(0(z0))))))))))))))))))
   2(c_0(c_3(c_1(c_0(c_3(c_2(c_1(c_0(c_2(c_3(c_1(c_0(c_2(c_2(c_1(c_1(c_1(z0)))))))))))))))))) -> 2(1(2(2(2(0(1(1(0(0(3(3(1(3(0(2(1(1(z0))))))))))))))))))
   2(c_1(c_2(c_1(c_3(c_0(c_2(c_2(c_3(c_2(c_3(c_1(c_1(c_1(c_3(c_3(c_0(c_2(z0)))))))))))))))))) -> 2(1(2(1(3(2(1(2(3(2(3(3(0(0(3(1(2(1(z0))))))))))))))))))
   2(c_2(c_1(c_3(c_3(c_0(c_0(c_2(c_1(c_3(c_0(c_1(c_2(c_2(c_2(c_2(c_3(c_3(z0)))))))))))))))))) -> 2(0(2(2(0(2(1(0(3(2(2(1(1(3(2(3(3(3(z0))))))))))))))))))
   2(c_1(c_2(c_3(c_1(c_3(c_2(c_0(c_2(c_2(c_3(c_3(c_3(c_2(c_3(c_1(c_3(c_3(z0)))))))))))))))))) -> 2(3(3(2(2(1(3(2(3(2(1(0(3(3(1(2(3(3(z0))))))))))))))))))
   2(c_0(c_1(c_0(c_1(c_2(c_2(c_2(c_2(c_3(c_3(c_1(c_1(c_1(c_1(c_2(c_1(c_2(z0)))))))))))))))))) -> 0(2(2(1(1(1(2(1(0(3(3(2(2(1(1(2(1(2(z0))))))))))))))))))
   2(c_3(c_0(c_1(c_3(c_1(c_3(c_3(c_0(c_3(c_0(c_2(c_0(c_3(c_1(c_3(c_2(c_3(z0)))))))))))))))))) -> 0(2(0(3(3(3(2(1(3(0(3(3(3(3(1(1(2(0(z0))))))))))))))))))
   3(z0) -> c_3(z0)
   3(c_0(c_0(c_3(c_1(c_3(c_0(c_2(c_0(c_2(c_0(c_0(c_1(c_0(c_3(c_2(c_3(c_2(z0)))))))))))))))))) -> 0(0(3(2(3(3(0(0(0(3(2(0(1(2(3(1(0(2(z0))))))))))))))))))
   3(c_3(c_0(c_2(c_3(c_0(c_1(c_3(c_3(c_3(c_1(c_2(c_1(c_3(c_2(c_2(c_0(c_3(z0)))))))))))))))))) -> 2(3(1(1(0(1(2(0(3(3(3(2(3(2(3(3(0(3(z0))))))))))))))))))
   3(c_3(c_3(c_2(c_3(c_0(c_2(c_2(c_3(c_1(c_2(c_3(c_0(c_3(c_3(c_2(c_2(c_2(z0)))))))))))))))))) -> 3(0(3(2(2(2(0(3(3(3(2(2(3(2(1(3(3(2(z0))))))))))))))))))
   3(c_1(c_1(c_1(c_3(c_1(c_3(c_3(c_3(c_2(c_3(c_0(c_0(c_2(c_3(c_1(c_3(c_1(z0)))))))))))))))))) -> 3(3(1(2(2(3(0(1(0(3(3(3(1(1(1(3(3(1(z0))))))))))))))))))
   3(c_3(c_2(c_0(c_0(c_1(c_0(c_2(c_3(c_3(c_0(c_3(c_1(c_3(c_3(c_1(c_3(c_3(z0)))))))))))))))))) -> 0(0(3(3(1(1(0(2(2(3(1(3(3(0(3(3(3(3(z0))))))))))))))))))
   3(c_1(c_3(c_2(c_1(c_3(c_1(c_0(c_3(c_2(c_0(c_2(c_0(c_3(c_0(c_2(c_3(c_3(z0)))))))))))))))))) -> 2(2(0(1(2(1(0(3(3(3(0(3(2(1(3(3(3(0(z0))))))))))))))))))
   3(c_1(c_3(c_1(c_1(c_1(c_1(c_3(c_2(c_0(c_0(c_2(c_2(c_2(c_1(c_3(c_3(c_1(z0)))))))))))))))))) -> 3(1(0(3(1(1(0(2(2(2(3(1(2(1(1(3(3(1(z0))))))))))))))))))
   3(c_0(c_0(c_2(c_2(c_2(c_1(c_3(c_1(c_3(c_3(c_3(c_2(c_0(c_2(c_3(c_3(c_3(z0)))))))))))))))))) -> 2(1(2(1(2(3(3(0(2(3(0(3(3(3(2(0(3(3(z0))))))))))))))))))
   3(c_3(c_3(c_1(c_3(c_1(c_3(c_0(c_3(c_3(c_2(c_0(c_1(c_3(c_0(c_1(c_2(c_3(z0)))))))))))))))))) -> 3(3(3(1(1(3(1(3(3(3(2(3(0(3(1(2(0(0(z0))))))))))))))))))
   3(c_0(c_0(c_0(c_2(c_0(c_3(c_2(c_0(c_2(c_2(c_2(c_0(c_0(c_1(c_3(c_0(c_2(z0)))))))))))))))))) -> 0(0(2(1(2(3(0(3(2(0(2(0(0(3(0(2(0(2(z0))))))))))))))))))
   3(c_2(c_3(c_0(c_2(c_2(c_2(c_2(c_0(c_0(c_0(c_1(c_1(c_1(c_3(c_0(c_2(c_3(z0)))))))))))))))))) -> 3(0(2(3(2(0(3(1(2(0(2(1(0(3(2(1(2(0(z0))))))))))))))))))
   3(c_2(c_0(c_0(c_0(c_2(c_3(c_3(c_1(c_1(c_0(c_1(c_3(c_2(c_3(c_3(c_0(c_0(z0)))))))))))))))))) -> 3(0(2(1(2(3(3(0(3(1(0(1(2(3(3(0(0(0(z0))))))))))))))))))
   3(c_0(c_3(c_2(c_2(c_0(c_2(c_0(c_0(c_0(c_1(c_3(c_2(c_3(c_3(c_0(c_3(c_0(z0)))))))))))))))))) -> 3(0(2(0(1(2(2(0(3(0(2(0(3(0(3(3(3(0(z0))))))))))))))))))
   3(c_0(c_2(c_2(c_0(c_1(c_2(c_0(c_0(c_2(c_0(c_2(c_2(c_2(c_3(c_1(c_0(c_2(z0)))))))))))))))))) -> 0(2(1(2(2(3(0(0(3(2(2(1(2(0(2(0(0(2(z0))))))))))))))))))
   3(c_3(c_2(c_1(c_3(c_2(c_0(c_2(c_0(c_0(c_3(c_1(c_3(c_0(c_2(c_0(c_2(c_2(z0)))))))))))))))))) -> 2(0(1(3(2(2(2(1(2(3(3(0(3(0(0(0(3(2(z0))))))))))))))))))
   3(c_0(c_2(c_2(c_3(c_2(c_2(c_3(c_2(c_2(c_3(c_3(c_2(c_0(c_1(c_3(c_2(c_3(z0)))))))))))))))))) -> 0(3(3(2(1(3(3(2(2(3(2(2(2(0(3(2(2(3(z0))))))))))))))))))
   3(c_0(c_1(c_2(c_1(c_0(c_2(c_1(c_1(c_3(c_0(c_1(c_2(c_3(c_1(c_1(c_1(c_1(z0)))))))))))))))))) -> 3(3(1(1(1(0(1(2(1(1(1(2(2(3(0(1(0(1(z0))))))))))))))))))
   3(c_3(c_2(c_1(c_3(c_0(c_0(c_1(c_3(c_2(c_0(c_0(c_2(c_3(c_3(c_0(c_0(c_2(z0)))))))))))))))))) -> 3(0(0(3(0(3(0(1(2(0(3(1(3(0(3(2(2(2(z0))))))))))))))))))
   3(c_3(c_0(c_2(c_0(c_2(c_0(c_1(c_2(c_0(c_2(c_3(c_0(c_2(c_2(c_0(c_3(c_3(z0)))))))))))))))))) -> 3(2(0(3(2(0(0(0(3(0(3(2(2(2(1(2(0(3(z0))))))))))))))))))
   3(c_2(c_2(c_1(c_2(c_2(c_3(c_1(c_1(c_2(c_0(c_1(c_3(c_1(c_2(c_2(c_1(c_1(z0)))))))))))))))))) -> 3(1(1(1(2(2(1(3(2(3(2(2(1(1(2(0(2(1(z0))))))))))))))))))
   3(c_2(c_2(c_2(c_3(c_2(c_3(c_0(c_1(c_3(c_2(c_1(c_3(c_2(c_3(c_0(c_2(c_1(z0)))))))))))))))))) -> 0(0(3(3(2(1(2(1(3(3(3(3(2(2(2(2(2(1(z0))))))))))))))))))
   3(c_1(c_3(c_2(c_1(c_1(c_3(c_1(c_2(c_2(c_1(c_3(c_2(c_3(c_1(c_0(c_3(c_1(z0)))))))))))))))))) -> 3(1(3(3(1(2(0(1(1(2(2(1(3(3(2(3(1(1(z0))))))))))))))))))
   3(c_2(c_1(c_3(c_1(c_2(c_2(c_2(c_3(c_3(c_0(c_2(c_1(c_3(c_0(c_2(c_0(c_2(z0)))))))))))))))))) -> 3(3(3(2(3(2(2(0(2(2(1(0(3(2(1(2(1(0(z0))))))))))))))))))
   3(c_1(c_0(c_0(c_3(c_0(c_0(c_0(c_0(c_1(c_2(c_0(c_2(c_0(c_2(c_0(c_0(c_1(z0)))))))))))))))))) -> 3(0(0(0(0(0(2(0(0(0(0(3(0(2(1(1(2(1(z0))))))))))))))))))
   3(c_3(c_0(c_3(c_1(c_0(c_0(c_2(c_2(c_2(c_0(c_0(c_0(c_2(c_2(c_1(c_3(c_2(z0)))))))))))))))))) -> 0(3(2(0(3(3(1(2(1(2(2(0(3(0(0(0(2(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_1(z0) -> c5(1'(encArg(z0)), ENCARG(z0))
   ENCODE_3(z0) -> c6(3'(encArg(z0)), ENCARG(z0))
   ENCODE_2(z0) -> c7(2'(encArg(z0)), ENCARG(z0))
   0'(z0) -> c8
   0'(c_0(c_2(c_0(c_3(c_3(c_2(c_3(c_1(c_3(c_1(c_0(c_2(c_1(c_3(c_0(c_2(c_0(z0)))))))))))))))))) -> c9(0'(0(1(1(3(0(3(3(1(2(0(2(3(0(2(2(0(3(z0)))))))))))))))))), 0'(1(1(3(0(3(3(1(2(0(2(3(0(2(2(0(3(z0))))))))))))))))), 1'(1(3(0(3(3(1(2(0(2(3(0(2(2(0(3(z0)))))))))))))))), 1'(3(0(3(3(1(2(0(2(3(0(2(2(0(3(z0))))))))))))))), 3'(0(3(3(1(2(0(2(3(0(2(2(0(3(z0)))))))))))))), 0'(3(3(1(2(0(2(3(0(2(2(0(3(z0))))))))))))), 3'(3(1(2(0(2(3(0(2(2(0(3(z0)))))))))))), 3'(1(2(0(2(3(0(2(2(0(3(z0))))))))))), 1'(2(0(2(3(0(2(2(0(3(z0)))))))))), 2'(0(2(3(0(2(2(0(3(z0))))))))), 0'(2(3(0(2(2(0(3(z0)))))))), 2'(3(0(2(2(0(3(z0))))))), 3'(0(2(2(0(3(z0)))))), 0'(2(2(0(3(z0))))), 2'(2(0(3(z0)))), 2'(0(3(z0))), 0'(3(z0)), 3'(z0))
   0'(c_0(c_2(c_0(c_3(c_0(c_2(c_2(c_3(c_0(c_2(c_0(c_0(c_2(c_3(c_0(c_0(c_2(z0)))))))))))))))))) -> c10(0'(0(3(2(2(0(2(0(0(0(2(2(0(3(0(0(3(2(z0)))))))))))))))))), 0'(3(2(2(0(2(0(0(0(2(2(0(3(0(0(3(2(z0))))))))))))))))), 3'(2(2(0(2(0(0(0(2(2(0(3(0(0(3(2(z0)))))))))))))))), 2'(2(0(2(0(0(0(2(2(0(3(0(0(3(2(z0))))))))))))))), 2'(0(2(0(0(0(2(2(0(3(0(0(3(2(z0)))))))))))))), 0'(2(0(0(0(2(2(0(3(0(0(3(2(z0))))))))))))), 2'(0(0(0(2(2(0(3(0(0(3(2(z0)))))))))))), 0'(0(0(2(2(0(3(0(0(3(2(z0))))))))))), 0'(0(2(2(0(3(0(0(3(2(z0)))))))))), 0'(2(2(0(3(0(0(3(2(z0))))))))), 2'(2(0(3(0(0(3(2(z0)))))))), 2'(0(3(0(0(3(2(z0))))))), 0'(3(0(0(3(2(z0)))))), 3'(0(0(3(2(z0))))), 0'(0(3(2(z0)))), 0'(3(2(z0))), 3'(2(z0)), 2'(z0))
   0'(c_0(c_0(c_1(c_3(c_3(c_2(c_2(c_3(c_0(c_0(c_1(c_3(c_2(c_2(c_3(c_3(c_2(z0)))))))))))))))))) -> c11(3'(0(2(3(0(3(0(3(0(0(1(2(3(3(1(2(2(2(z0)))))))))))))))))), 0'(2(3(0(3(0(3(0(0(1(2(3(3(1(2(2(2(z0))))))))))))))))), 2'(3(0(3(0(3(0(0(1(2(3(3(1(2(2(2(z0)))))))))))))))), 3'(0(3(0(3(0(0(1(2(3(3(1(2(2(2(z0))))))))))))))), 0'(3(0(3(0(0(1(2(3(3(1(2(2(2(z0)))))))))))))), 3'(0(3(0(0(1(2(3(3(1(2(2(2(z0))))))))))))), 0'(3(0(0(1(2(3(3(1(2(2(2(z0)))))))))))), 3'(0(0(1(2(3(3(1(2(2(2(z0))))))))))), 0'(0(1(2(3(3(1(2(2(2(z0)))))))))), 0'(1(2(3(3(1(2(2(2(z0))))))))), 1'(2(3(3(1(2(2(2(z0)))))))), 2'(3(3(1(2(2(2(z0))))))), 3'(3(1(2(2(2(z0)))))), 3'(1(2(2(2(z0))))), 1'(2(2(2(z0)))), 2'(2(2(z0))), 2'(2(z0)), 2'(z0))
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   0'(c_1(c_2(c_3(c_0(c_2(c_1(c_1(c_3(c_3(c_3(c_2(c_3(c_1(c_3(c_1(c_3(c_1(z0)))))))))))))))))) -> c25(2'(1(3(2(3(1(1(3(3(0(3(3(0(3(2(1(1(1(z0)))))))))))))))))), 1'(3(2(3(1(1(3(3(0(3(3(0(3(2(1(1(1(z0))))))))))))))))), 3'(2(3(1(1(3(3(0(3(3(0(3(2(1(1(1(z0)))))))))))))))), 2'(3(1(1(3(3(0(3(3(0(3(2(1(1(1(z0))))))))))))))), 3'(1(1(3(3(0(3(3(0(3(2(1(1(1(z0)))))))))))))), 1'(1(3(3(0(3(3(0(3(2(1(1(1(z0))))))))))))), 1'(3(3(0(3(3(0(3(2(1(1(1(z0)))))))))))), 3'(3(0(3(3(0(3(2(1(1(1(z0))))))))))), 3'(0(3(3(0(3(2(1(1(1(z0)))))))))), 0'(3(3(0(3(2(1(1(1(z0))))))))), 3'(3(0(3(2(1(1(1(z0)))))))), 3'(0(3(2(1(1(1(z0))))))), 0'(3(2(1(1(1(z0)))))), 3'(2(1(1(1(z0))))), 2'(1(1(1(z0)))), 1'(1(1(z0))), 1'(1(z0)), 1'(z0))
   0'(c_0(c_2(c_0(c_1(c_1(c_3(c_0(c_2(c_3(c_2(c_2(c_0(c_2(c_3(c_3(c_1(c_2(z0)))))))))))))))))) -> c26(0'(0(3(2(1(0(0(3(1(3(0(3(2(2(1(2(2(2(z0)))))))))))))))))), 0'(3(2(1(0(0(3(1(3(0(3(2(2(1(2(2(2(z0))))))))))))))))), 3'(2(1(0(0(3(1(3(0(3(2(2(1(2(2(2(z0)))))))))))))))), 2'(1(0(0(3(1(3(0(3(2(2(1(2(2(2(z0))))))))))))))), 1'(0(0(3(1(3(0(3(2(2(1(2(2(2(z0)))))))))))))), 0'(0(3(1(3(0(3(2(2(1(2(2(2(z0))))))))))))), 0'(3(1(3(0(3(2(2(1(2(2(2(z0)))))))))))), 3'(1(3(0(3(2(2(1(2(2(2(z0))))))))))), 1'(3(0(3(2(2(1(2(2(2(z0)))))))))), 3'(0(3(2(2(1(2(2(2(z0))))))))), 0'(3(2(2(1(2(2(2(z0)))))))), 3'(2(2(1(2(2(2(z0))))))), 2'(2(1(2(2(2(z0)))))), 2'(1(2(2(2(z0))))), 1'(2(2(2(z0)))), 2'(2(2(z0))), 2'(2(z0)), 2'(z0))
   0'(c_3(c_3(c_2(c_3(c_1(c_3(c_2(c_0(c_0(c_2(c_1(c_3(c_1(c_3(c_2(c_3(c_3(z0)))))))))))))))))) -> c27(3'(2(2(3(2(0(1(2(1(3(1(3(0(3(0(3(3(3(z0)))))))))))))))))), 2'(2(3(2(0(1(2(1(3(1(3(0(3(0(3(3(3(z0))))))))))))))))), 2'(3(2(0(1(2(1(3(1(3(0(3(0(3(3(3(z0)))))))))))))))), 3'(2(0(1(2(1(3(1(3(0(3(0(3(3(3(z0))))))))))))))), 2'(0(1(2(1(3(1(3(0(3(0(3(3(3(z0)))))))))))))), 0'(1(2(1(3(1(3(0(3(0(3(3(3(z0))))))))))))), 1'(2(1(3(1(3(0(3(0(3(3(3(z0)))))))))))), 2'(1(3(1(3(0(3(0(3(3(3(z0))))))))))), 1'(3(1(3(0(3(0(3(3(3(z0)))))))))), 3'(1(3(0(3(0(3(3(3(z0))))))))), 1'(3(0(3(0(3(3(3(z0)))))))), 3'(0(3(0(3(3(3(z0))))))), 0'(3(0(3(3(3(z0)))))), 3'(0(3(3(3(z0))))), 0'(3(3(3(z0)))), 3'(3(3(z0))), 3'(3(z0)), 3'(z0))
   0'(c_0(c_1(c_3(c_1(c_0(c_0(c_1(c_3(c_3(c_0(c_0(c_1(c_2(c_2(c_1(c_1(c_1(z0)))))))))))))))))) -> c28(3'(3(0(2(0(0(0(0(1(0(2(1(3(1(1(1(1(1(z0)))))))))))))))))), 3'(0(2(0(0(0(0(1(0(2(1(3(1(1(1(1(1(z0))))))))))))))))), 0'(2(0(0(0(0(1(0(2(1(3(1(1(1(1(1(z0)))))))))))))))), 2'(0(0(0(0(1(0(2(1(3(1(1(1(1(1(z0))))))))))))))), 0'(0(0(0(1(0(2(1(3(1(1(1(1(1(z0)))))))))))))), 0'(0(0(1(0(2(1(3(1(1(1(1(1(z0))))))))))))), 0'(0(1(0(2(1(3(1(1(1(1(1(z0)))))))))))), 0'(1(0(2(1(3(1(1(1(1(1(z0))))))))))), 1'(0(2(1(3(1(1(1(1(1(z0)))))))))), 0'(2(1(3(1(1(1(1(1(z0))))))))), 2'(1(3(1(1(1(1(1(z0)))))))), 1'(3(1(1(1(1(1(z0))))))), 3'(1(1(1(1(1(z0)))))), 1'(1(1(1(1(z0))))), 1'(1(1(1(z0)))), 1'(1(1(z0))), 1'(1(z0)), 1'(z0))
   1'(z0) -> c29
   1'(c_2(c_3(c_0(c_1(c_0(c_3(c_1(c_2(c_3(c_1(c_1(c_1(c_1(c_3(c_2(c_3(c_0(z0)))))))))))))))))) -> c30(1'(1(2(1(1(3(0(3(3(2(1(2(0(3(1(1(3(0(z0)))))))))))))))))), 1'(2(1(1(3(0(3(3(2(1(2(0(3(1(1(3(0(z0))))))))))))))))), 2'(1(1(3(0(3(3(2(1(2(0(3(1(1(3(0(z0)))))))))))))))), 1'(1(3(0(3(3(2(1(2(0(3(1(1(3(0(z0))))))))))))))), 1'(3(0(3(3(2(1(2(0(3(1(1(3(0(z0)))))))))))))), 3'(0(3(3(2(1(2(0(3(1(1(3(0(z0))))))))))))), 0'(3(3(2(1(2(0(3(1(1(3(0(z0)))))))))))), 3'(3(2(1(2(0(3(1(1(3(0(z0))))))))))), 3'(2(1(2(0(3(1(1(3(0(z0)))))))))), 2'(1(2(0(3(1(1(3(0(z0))))))))), 1'(2(0(3(1(1(3(0(z0)))))))), 2'(0(3(1(1(3(0(z0))))))), 0'(3(1(1(3(0(z0)))))), 3'(1(1(3(0(z0))))), 1'(1(3(0(z0)))), 1'(3(0(z0))), 3'(0(z0)), 0'(z0))
   1'(c_3(c_1(c_3(c_1(c_1(c_1(c_2(c_1(c_3(c_0(c_1(c_2(c_1(c_3(c_1(c_1(c_0(z0)))))))))))))))))) -> c31(1'(0(1(1(1(3(3(2(3(0(1(2(1(1(1(1(1(3(z0)))))))))))))))))), 0'(1(1(1(3(3(2(3(0(1(2(1(1(1(1(1(3(z0))))))))))))))))), 1'(1(1(3(3(2(3(0(1(2(1(1(1(1(1(3(z0)))))))))))))))), 1'(1(3(3(2(3(0(1(2(1(1(1(1(1(3(z0))))))))))))))), 1'(3(3(2(3(0(1(2(1(1(1(1(1(3(z0)))))))))))))), 3'(3(2(3(0(1(2(1(1(1(1(1(3(z0))))))))))))), 3'(2(3(0(1(2(1(1(1(1(1(3(z0)))))))))))), 2'(3(0(1(2(1(1(1(1(1(3(z0))))))))))), 3'(0(1(2(1(1(1(1(1(3(z0)))))))))), 0'(1(2(1(1(1(1(1(3(z0))))))))), 1'(2(1(1(1(1(1(3(z0)))))))), 2'(1(1(1(1(1(3(z0))))))), 1'(1(1(1(1(3(z0)))))), 1'(1(1(1(3(z0))))), 1'(1(1(3(z0)))), 1'(1(3(z0))), 1'(3(z0)), 3'(z0))
   1'(c_1(c_0(c_3(c_1(c_2(c_0(c_0(c_1(c_3(c_2(c_1(c_2(c_0(c_3(c_0(c_2(c_2(z0)))))))))))))))))) -> c32(1'(1(2(2(3(2(1(0(0(3(2(3(0(0(0(1(1(2(z0)))))))))))))))))), 1'(2(2(3(2(1(0(0(3(2(3(0(0(0(1(1(2(z0))))))))))))))))), 2'(2(3(2(1(0(0(3(2(3(0(0(0(1(1(2(z0)))))))))))))))), 2'(3(2(1(0(0(3(2(3(0(0(0(1(1(2(z0))))))))))))))), 3'(2(1(0(0(3(2(3(0(0(0(1(1(2(z0)))))))))))))), 2'(1(0(0(3(2(3(0(0(0(1(1(2(z0))))))))))))), 1'(0(0(3(2(3(0(0(0(1(1(2(z0)))))))))))), 0'(0(3(2(3(0(0(0(1(1(2(z0))))))))))), 0'(3(2(3(0(0(0(1(1(2(z0)))))))))), 3'(2(3(0(0(0(1(1(2(z0))))))))), 2'(3(0(0(0(1(1(2(z0)))))))), 3'(0(0(0(1(1(2(z0))))))), 0'(0(0(1(1(2(z0)))))), 0'(0(1(1(2(z0))))), 0'(1(1(2(z0)))), 1'(1(2(z0))), 1'(2(z0)), 2'(z0))
   1'(c_2(c_2(c_0(c_3(c_1(c_3(c_0(c_0(c_1(c_3(c_3(c_0(c_3(c_2(c_3(c_1(c_2(z0)))))))))))))))))) -> c33(1'(0(2(3(3(3(3(0(2(0(3(1(0(3(1(2(1(2(z0)))))))))))))))))), 0'(2(3(3(3(3(0(2(0(3(1(0(3(1(2(1(2(z0))))))))))))))))), 2'(3(3(3(3(0(2(0(3(1(0(3(1(2(1(2(z0)))))))))))))))), 3'(3(3(3(0(2(0(3(1(0(3(1(2(1(2(z0))))))))))))))), 3'(3(3(0(2(0(3(1(0(3(1(2(1(2(z0)))))))))))))), 3'(3(0(2(0(3(1(0(3(1(2(1(2(z0))))))))))))), 3'(0(2(0(3(1(0(3(1(2(1(2(z0)))))))))))), 0'(2(0(3(1(0(3(1(2(1(2(z0))))))))))), 2'(0(3(1(0(3(1(2(1(2(z0)))))))))), 0'(3(1(0(3(1(2(1(2(z0))))))))), 3'(1(0(3(1(2(1(2(z0)))))))), 1'(0(3(1(2(1(2(z0))))))), 0'(3(1(2(1(2(z0)))))), 3'(1(2(1(2(z0))))), 1'(2(1(2(z0)))), 2'(1(2(z0))), 1'(2(z0)), 2'(z0))
   1'(c_1(c_0(c_0(c_0(c_2(c_0(c_1(c_0(c_1(c_1(c_0(c_3(c_2(c_1(c_0(c_0(c_2(z0)))))))))))))))))) -> c34(1'(1(2(1(1(0(0(2(3(0(0(0(0(1(1(0(0(2(z0)))))))))))))))))), 1'(2(1(1(0(0(2(3(0(0(0(0(1(1(0(0(2(z0))))))))))))))))), 2'(1(1(0(0(2(3(0(0(0(0(1(1(0(0(2(z0)))))))))))))))), 1'(1(0(0(2(3(0(0(0(0(1(1(0(0(2(z0))))))))))))))), 1'(0(0(2(3(0(0(0(0(1(1(0(0(2(z0)))))))))))))), 0'(0(2(3(0(0(0(0(1(1(0(0(2(z0))))))))))))), 0'(2(3(0(0(0(0(1(1(0(0(2(z0)))))))))))), 2'(3(0(0(0(0(1(1(0(0(2(z0))))))))))), 3'(0(0(0(0(1(1(0(0(2(z0)))))))))), 0'(0(0(0(1(1(0(0(2(z0))))))))), 0'(0(0(1(1(0(0(2(z0)))))))), 0'(0(1(1(0(0(2(z0))))))), 0'(1(1(0(0(2(z0)))))), 1'(1(0(0(2(z0))))), 1'(0(0(2(z0)))), 0'(0(2(z0))), 0'(2(z0)), 2'(z0))
   1'(c_3(c_1(c_3(c_2(c_0(c_0(c_0(c_1(c_3(c_1(c_0(c_2(c_2(c_2(c_1(c_0(c_2(z0)))))))))))))))))) -> c35(1'(0(1(1(2(2(0(3(3(0(1(0(1(2(2(3(0(2(z0)))))))))))))))))), 0'(1(1(2(2(0(3(3(0(1(0(1(2(2(3(0(2(z0))))))))))))))))), 1'(1(2(2(0(3(3(0(1(0(1(2(2(3(0(2(z0)))))))))))))))), 1'(2(2(0(3(3(0(1(0(1(2(2(3(0(2(z0))))))))))))))), 2'(2(0(3(3(0(1(0(1(2(2(3(0(2(z0)))))))))))))), 2'(0(3(3(0(1(0(1(2(2(3(0(2(z0))))))))))))), 0'(3(3(0(1(0(1(2(2(3(0(2(z0)))))))))))), 3'(3(0(1(0(1(2(2(3(0(2(z0))))))))))), 3'(0(1(0(1(2(2(3(0(2(z0)))))))))), 0'(1(0(1(2(2(3(0(2(z0))))))))), 1'(0(1(2(2(3(0(2(z0)))))))), 0'(1(2(2(3(0(2(z0))))))), 1'(2(2(3(0(2(z0)))))), 2'(2(3(0(2(z0))))), 2'(3(0(2(z0)))), 3'(0(2(z0))), 0'(2(z0)), 2'(z0))
   1'(c_0(c_0(c_0(c_3(c_0(c_2(c_1(c_3(c_3(c_1(c_2(c_2(c_3(c_1(c_3(c_2(c_1(z0)))))))))))))))))) -> c36(1'(2(1(3(3(0(3(0(3(1(0(2(2(3(1(0(2(1(z0)))))))))))))))))), 2'(1(3(3(0(3(0(3(1(0(2(2(3(1(0(2(1(z0))))))))))))))))), 1'(3(3(0(3(0(3(1(0(2(2(3(1(0(2(1(z0)))))))))))))))), 3'(3(0(3(0(3(1(0(2(2(3(1(0(2(1(z0))))))))))))))), 3'(0(3(0(3(1(0(2(2(3(1(0(2(1(z0)))))))))))))), 0'(3(0(3(1(0(2(2(3(1(0(2(1(z0))))))))))))), 3'(0(3(1(0(2(2(3(1(0(2(1(z0)))))))))))), 0'(3(1(0(2(2(3(1(0(2(1(z0))))))))))), 3'(1(0(2(2(3(1(0(2(1(z0)))))))))), 1'(0(2(2(3(1(0(2(1(z0))))))))), 0'(2(2(3(1(0(2(1(z0)))))))), 2'(2(3(1(0(2(1(z0))))))), 2'(3(1(0(2(1(z0)))))), 3'(1(0(2(1(z0))))), 1'(0(2(1(z0)))), 0'(2(1(z0))), 2'(1(z0)), 1'(z0))
   1'(c_3(c_3(c_1(c_3(c_1(c_3(c_0(c_1(c_0(c_2(c_3(c_1(c_1(c_1(c_3(c_0(c_3(z0)))))))))))))))))) -> c37(1'(1(1(2(1(3(0(0(3(3(3(0(1(1(3(3(1(3(z0)))))))))))))))))), 1'(1(2(1(3(0(0(3(3(3(0(1(1(3(3(1(3(z0))))))))))))))))), 1'(2(1(3(0(0(3(3(3(0(1(1(3(3(1(3(z0)))))))))))))))), 2'(1(3(0(0(3(3(3(0(1(1(3(3(1(3(z0))))))))))))))), 1'(3(0(0(3(3(3(0(1(1(3(3(1(3(z0)))))))))))))), 3'(0(0(3(3(3(0(1(1(3(3(1(3(z0))))))))))))), 0'(0(3(3(3(0(1(1(3(3(1(3(z0)))))))))))), 0'(3(3(3(0(1(1(3(3(1(3(z0))))))))))), 3'(3(3(0(1(1(3(3(1(3(z0)))))))))), 3'(3(0(1(1(3(3(1(3(z0))))))))), 3'(0(1(1(3(3(1(3(z0)))))))), 0'(1(1(3(3(1(3(z0))))))), 1'(1(3(3(1(3(z0)))))), 1'(3(3(1(3(z0))))), 3'(3(1(3(z0)))), 3'(1(3(z0))), 1'(3(z0)), 3'(z0))
   1'(c_2(c_2(c_2(c_2(c_0(c_3(c_3(c_2(c_1(c_3(c_0(c_2(c_1(c_3(c_2(c_0(c_3(z0)))))))))))))))))) -> c38(1'(2(2(1(2(1(2(0(2(3(2(2(0(0(3(3(3(3(z0)))))))))))))))))), 2'(2(1(2(1(2(0(2(3(2(2(0(0(3(3(3(3(z0))))))))))))))))), 2'(1(2(1(2(0(2(3(2(2(0(0(3(3(3(3(z0)))))))))))))))), 1'(2(1(2(0(2(3(2(2(0(0(3(3(3(3(z0))))))))))))))), 2'(1(2(0(2(3(2(2(0(0(3(3(3(3(z0)))))))))))))), 1'(2(0(2(3(2(2(0(0(3(3(3(3(z0))))))))))))), 2'(0(2(3(2(2(0(0(3(3(3(3(z0)))))))))))), 0'(2(3(2(2(0(0(3(3(3(3(z0))))))))))), 2'(3(2(2(0(0(3(3(3(3(z0)))))))))), 3'(2(2(0(0(3(3(3(3(z0))))))))), 2'(2(0(0(3(3(3(3(z0)))))))), 2'(0(0(3(3(3(3(z0))))))), 0'(0(3(3(3(3(z0)))))), 0'(3(3(3(3(z0))))), 3'(3(3(3(z0)))), 3'(3(3(z0))), 3'(3(z0)), 3'(z0))
   1'(c_3(c_0(c_2(c_0(c_3(c_2(c_2(c_1(c_3(c_2(c_3(c_2(c_2(c_2(c_1(c_3(c_2(z0)))))))))))))))))) -> c39(1'(3(2(1(2(2(3(3(3(2(1(3(2(0(0(2(2(2(z0)))))))))))))))))), 3'(2(1(2(2(3(3(3(2(1(3(2(0(0(2(2(2(z0))))))))))))))))), 2'(1(2(2(3(3(3(2(1(3(2(0(0(2(2(2(z0)))))))))))))))), 1'(2(2(3(3(3(2(1(3(2(0(0(2(2(2(z0))))))))))))))), 2'(2(3(3(3(2(1(3(2(0(0(2(2(2(z0)))))))))))))), 2'(3(3(3(2(1(3(2(0(0(2(2(2(z0))))))))))))), 3'(3(3(2(1(3(2(0(0(2(2(2(z0)))))))))))), 3'(3(2(1(3(2(0(0(2(2(2(z0))))))))))), 3'(2(1(3(2(0(0(2(2(2(z0)))))))))), 2'(1(3(2(0(0(2(2(2(z0))))))))), 1'(3(2(0(0(2(2(2(z0)))))))), 3'(2(0(0(2(2(2(z0))))))), 2'(0(0(2(2(2(z0)))))), 0'(0(2(2(2(z0))))), 0'(2(2(2(z0)))), 2'(2(2(z0))), 2'(2(z0)), 2'(z0))
   1'(c_3(c_2(c_2(c_0(c_3(c_1(c_1(c_3(c_1(c_3(c_0(c_2(c_1(c_2(c_2(c_0(c_3(z0)))))))))))))))))) -> c40(1'(1(2(1(0(1(2(3(3(0(3(0(3(2(2(1(2(3(z0)))))))))))))))))), 1'(2(1(0(1(2(3(3(0(3(0(3(2(2(1(2(3(z0))))))))))))))))), 2'(1(0(1(2(3(3(0(3(0(3(2(2(1(2(3(z0)))))))))))))))), 1'(0(1(2(3(3(0(3(0(3(2(2(1(2(3(z0))))))))))))))), 0'(1(2(3(3(0(3(0(3(2(2(1(2(3(z0)))))))))))))), 1'(2(3(3(0(3(0(3(2(2(1(2(3(z0))))))))))))), 2'(3(3(0(3(0(3(2(2(1(2(3(z0)))))))))))), 3'(3(0(3(0(3(2(2(1(2(3(z0))))))))))), 3'(0(3(0(3(2(2(1(2(3(z0)))))))))), 0'(3(0(3(2(2(1(2(3(z0))))))))), 3'(0(3(2(2(1(2(3(z0)))))))), 0'(3(2(2(1(2(3(z0))))))), 3'(2(2(1(2(3(z0)))))), 2'(2(1(2(3(z0))))), 2'(1(2(3(z0)))), 1'(2(3(z0))), 2'(3(z0)), 3'(z0))
   1'(c_0(c_2(c_1(c_2(c_3(c_3(c_0(c_1(c_0(c_2(c_3(c_0(c_1(c_1(c_3(c_3(c_1(z0)))))))))))))))))) -> c41(1'(2(1(1(1(3(0(3(0(3(1(0(3(2(2(0(3(1(z0)))))))))))))))))), 2'(1(1(1(3(0(3(0(3(1(0(3(2(2(0(3(1(z0))))))))))))))))), 1'(1(1(3(0(3(0(3(1(0(3(2(2(0(3(1(z0)))))))))))))))), 1'(1(3(0(3(0(3(1(0(3(2(2(0(3(1(z0))))))))))))))), 1'(3(0(3(0(3(1(0(3(2(2(0(3(1(z0)))))))))))))), 3'(0(3(0(3(1(0(3(2(2(0(3(1(z0))))))))))))), 0'(3(0(3(1(0(3(2(2(0(3(1(z0)))))))))))), 3'(0(3(1(0(3(2(2(0(3(1(z0))))))))))), 0'(3(1(0(3(2(2(0(3(1(z0)))))))))), 3'(1(0(3(2(2(0(3(1(z0))))))))), 1'(0(3(2(2(0(3(1(z0)))))))), 0'(3(2(2(0(3(1(z0))))))), 3'(2(2(0(3(1(z0)))))), 2'(2(0(3(1(z0))))), 2'(0(3(1(z0)))), 0'(3(1(z0))), 3'(1(z0)), 1'(z0))
   1'(c_0(c_2(c_0(c_0(c_0(c_1(c_2(c_3(c_0(c_1(c_2(c_2(c_2(c_1(c_2(c_2(c_0(z0)))))))))))))))))) -> c42(1'(2(2(0(0(1(1(0(0(2(2(2(2(1(2(0(0(3(z0)))))))))))))))))), 2'(2(0(0(1(1(0(0(2(2(2(2(1(2(0(0(3(z0))))))))))))))))), 2'(0(0(1(1(0(0(2(2(2(2(1(2(0(0(3(z0)))))))))))))))), 0'(0(1(1(0(0(2(2(2(2(1(2(0(0(3(z0))))))))))))))), 0'(1(1(0(0(2(2(2(2(1(2(0(0(3(z0)))))))))))))), 1'(1(0(0(2(2(2(2(1(2(0(0(3(z0))))))))))))), 1'(0(0(2(2(2(2(1(2(0(0(3(z0)))))))))))), 0'(0(2(2(2(2(1(2(0(0(3(z0))))))))))), 0'(2(2(2(2(1(2(0(0(3(z0)))))))))), 2'(2(2(2(1(2(0(0(3(z0))))))))), 2'(2(2(1(2(0(0(3(z0)))))))), 2'(2(1(2(0(0(3(z0))))))), 2'(1(2(0(0(3(z0)))))), 1'(2(0(0(3(z0))))), 2'(0(0(3(z0)))), 0'(0(3(z0))), 0'(3(z0)), 3'(z0))
   2'(z0) -> c43
   2'(c_2(c_2(c_3(c_0(c_1(c_3(c_2(c_1(c_3(c_3(c_2(c_1(c_2(c_2(c_1(c_2(c_3(z0)))))))))))))))))) -> c44(2'(2(2(1(1(2(3(2(3(2(2(0(3(1(2(1(3(3(z0)))))))))))))))))), 2'(2(1(1(2(3(2(3(2(2(0(3(1(2(1(3(3(z0))))))))))))))))), 2'(1(1(2(3(2(3(2(2(0(3(1(2(1(3(3(z0)))))))))))))))), 1'(1(2(3(2(3(2(2(0(3(1(2(1(3(3(z0))))))))))))))), 1'(2(3(2(3(2(2(0(3(1(2(1(3(3(z0)))))))))))))), 2'(3(2(3(2(2(0(3(1(2(1(3(3(z0))))))))))))), 3'(2(3(2(2(0(3(1(2(1(3(3(z0)))))))))))), 2'(3(2(2(0(3(1(2(1(3(3(z0))))))))))), 3'(2(2(0(3(1(2(1(3(3(z0)))))))))), 2'(2(0(3(1(2(1(3(3(z0))))))))), 2'(0(3(1(2(1(3(3(z0)))))))), 0'(3(1(2(1(3(3(z0))))))), 3'(1(2(1(3(3(z0)))))), 1'(2(1(3(3(z0))))), 2'(1(3(3(z0)))), 1'(3(3(z0))), 3'(3(z0)), 3'(z0))
   2'(c_2(c_1(c_3(c_1(c_3(c_0(c_0(c_2(c_1(c_2(c_2(c_2(c_1(c_1(c_1(c_0(c_1(z0)))))))))))))))))) -> c45(0'(2(2(3(3(1(1(2(0(2(1(1(2(1(0(1(2(1(z0)))))))))))))))))), 2'(2(3(3(1(1(2(0(2(1(1(2(1(0(1(2(1(z0))))))))))))))))), 2'(3(3(1(1(2(0(2(1(1(2(1(0(1(2(1(z0)))))))))))))))), 3'(3(1(1(2(0(2(1(1(2(1(0(1(2(1(z0))))))))))))))), 3'(1(1(2(0(2(1(1(2(1(0(1(2(1(z0)))))))))))))), 1'(1(2(0(2(1(1(2(1(0(1(2(1(z0))))))))))))), 1'(2(0(2(1(1(2(1(0(1(2(1(z0)))))))))))), 2'(0(2(1(1(2(1(0(1(2(1(z0))))))))))), 0'(2(1(1(2(1(0(1(2(1(z0)))))))))), 2'(1(1(2(1(0(1(2(1(z0))))))))), 1'(1(2(1(0(1(2(1(z0)))))))), 1'(2(1(0(1(2(1(z0))))))), 2'(1(0(1(2(1(z0)))))), 1'(0(1(2(1(z0))))), 0'(1(2(1(z0)))), 1'(2(1(z0))), 2'(1(z0)), 1'(z0))
   2'(c_0(c_0(c_1(c_3(c_1(c_3(c_2(c_1(c_0(c_0(c_2(c_2(c_2(c_0(c_2(c_0(c_3(z0)))))))))))))))))) -> c46(0'(2(2(2(0(2(1(0(0(3(0(0(1(2(2(1(3(3(z0)))))))))))))))))), 2'(2(2(0(2(1(0(0(3(0(0(1(2(2(1(3(3(z0))))))))))))))))), 2'(2(0(2(1(0(0(3(0(0(1(2(2(1(3(3(z0)))))))))))))))), 2'(0(2(1(0(0(3(0(0(1(2(2(1(3(3(z0))))))))))))))), 0'(2(1(0(0(3(0(0(1(2(2(1(3(3(z0)))))))))))))), 2'(1(0(0(3(0(0(1(2(2(1(3(3(z0))))))))))))), 1'(0(0(3(0(0(1(2(2(1(3(3(z0)))))))))))), 0'(0(3(0(0(1(2(2(1(3(3(z0))))))))))), 0'(3(0(0(1(2(2(1(3(3(z0)))))))))), 3'(0(0(1(2(2(1(3(3(z0))))))))), 0'(0(1(2(2(1(3(3(z0)))))))), 0'(1(2(2(1(3(3(z0))))))), 1'(2(2(1(3(3(z0)))))), 2'(2(1(3(3(z0))))), 2'(1(3(3(z0)))), 1'(3(3(z0))), 3'(3(z0)), 3'(z0))
   2'(c_3(c_2(c_3(c_1(c_2(c_0(c_1(c_3(c_0(c_1(c_3(c_2(c_1(c_0(c_2(c_3(c_3(z0)))))))))))))))))) -> c47(0'(3(1(0(2(2(1(2(2(1(3(3(3(1(0(2(3(3(z0)))))))))))))))))), 3'(1(0(2(2(1(2(2(1(3(3(3(1(0(2(3(3(z0))))))))))))))))), 1'(0(2(2(1(2(2(1(3(3(3(1(0(2(3(3(z0)))))))))))))))), 0'(2(2(1(2(2(1(3(3(3(1(0(2(3(3(z0))))))))))))))), 2'(2(1(2(2(1(3(3(3(1(0(2(3(3(z0)))))))))))))), 2'(1(2(2(1(3(3(3(1(0(2(3(3(z0))))))))))))), 1'(2(2(1(3(3(3(1(0(2(3(3(z0)))))))))))), 2'(2(1(3(3(3(1(0(2(3(3(z0))))))))))), 2'(1(3(3(3(1(0(2(3(3(z0)))))))))), 1'(3(3(3(1(0(2(3(3(z0))))))))), 3'(3(3(1(0(2(3(3(z0)))))))), 3'(3(1(0(2(3(3(z0))))))), 3'(1(0(2(3(3(z0)))))), 1'(0(2(3(3(z0))))), 0'(2(3(3(z0)))), 2'(3(3(z0))), 3'(3(z0)), 3'(z0))
   2'(c_1(c_2(c_2(c_2(c_2(c_2(c_0(c_1(c_3(c_2(c_0(c_0(c_1(c_2(c_3(c_1(c_2(z0)))))))))))))))))) -> c48(2'(1(2(2(1(0(0(3(3(0(1(2(2(2(2(2(1(2(z0)))))))))))))))))), 1'(2(2(1(0(0(3(3(0(1(2(2(2(2(2(1(2(z0))))))))))))))))), 2'(2(1(0(0(3(3(0(1(2(2(2(2(2(1(2(z0)))))))))))))))), 2'(1(0(0(3(3(0(1(2(2(2(2(2(1(2(z0))))))))))))))), 1'(0(0(3(3(0(1(2(2(2(2(2(1(2(z0)))))))))))))), 0'(0(3(3(0(1(2(2(2(2(2(1(2(z0))))))))))))), 0'(3(3(0(1(2(2(2(2(2(1(2(z0)))))))))))), 3'(3(0(1(2(2(2(2(2(1(2(z0))))))))))), 3'(0(1(2(2(2(2(2(1(2(z0)))))))))), 0'(1(2(2(2(2(2(1(2(z0))))))))), 1'(2(2(2(2(2(1(2(z0)))))))), 2'(2(2(2(2(1(2(z0))))))), 2'(2(2(2(1(2(z0)))))), 2'(2(2(1(2(z0))))), 2'(2(1(2(z0)))), 2'(1(2(z0))), 1'(2(z0)), 2'(z0))
   2'(c_2(c_3(c_2(c_2(c_3(c_1(c_0(c_2(c_3(c_1(c_1(c_1(c_0(c_0(c_1(c_0(c_2(z0)))))))))))))))))) -> c49(0'(2(1(1(2(2(0(3(3(0(1(1(2(2(1(0(3(2(z0)))))))))))))))))), 2'(1(1(2(2(0(3(3(0(1(1(2(2(1(0(3(2(z0))))))))))))))))), 1'(1(2(2(0(3(3(0(1(1(2(2(1(0(3(2(z0)))))))))))))))), 1'(2(2(0(3(3(0(1(1(2(2(1(0(3(2(z0))))))))))))))), 2'(2(0(3(3(0(1(1(2(2(1(0(3(2(z0)))))))))))))), 2'(0(3(3(0(1(1(2(2(1(0(3(2(z0))))))))))))), 0'(3(3(0(1(1(2(2(1(0(3(2(z0)))))))))))), 3'(3(0(1(1(2(2(1(0(3(2(z0))))))))))), 3'(0(1(1(2(2(1(0(3(2(z0)))))))))), 0'(1(1(2(2(1(0(3(2(z0))))))))), 1'(1(2(2(1(0(3(2(z0)))))))), 1'(2(2(1(0(3(2(z0))))))), 2'(2(1(0(3(2(z0)))))), 2'(1(0(3(2(z0))))), 1'(0(3(2(z0)))), 0'(3(2(z0))), 3'(2(z0)), 2'(z0))
   2'(c_3(c_3(c_2(c_1(c_0(c_3(c_0(c_0(c_0(c_3(c_3(c_1(c_3(c_0(c_0(c_0(c_3(z0)))))))))))))))))) -> c50(2'(1(0(3(0(3(0(3(3(3(0(0(0(0(2(1(3(3(z0)))))))))))))))))), 1'(0(3(0(3(0(3(3(3(0(0(0(0(2(1(3(3(z0))))))))))))))))), 0'(3(0(3(0(3(3(3(0(0(0(0(2(1(3(3(z0)))))))))))))))), 3'(0(3(0(3(3(3(0(0(0(0(2(1(3(3(z0))))))))))))))), 0'(3(0(3(3(3(0(0(0(0(2(1(3(3(z0)))))))))))))), 3'(0(3(3(3(0(0(0(0(2(1(3(3(z0))))))))))))), 0'(3(3(3(0(0(0(0(2(1(3(3(z0)))))))))))), 3'(3(3(0(0(0(0(2(1(3(3(z0))))))))))), 3'(3(0(0(0(0(2(1(3(3(z0)))))))))), 3'(0(0(0(0(2(1(3(3(z0))))))))), 0'(0(0(0(2(1(3(3(z0)))))))), 0'(0(0(2(1(3(3(z0))))))), 0'(0(2(1(3(3(z0)))))), 0'(2(1(3(3(z0))))), 2'(1(3(3(z0)))), 1'(3(3(z0))), 3'(3(z0)), 3'(z0))
   2'(c_1(c_0(c_3(c_1(c_3(c_1(c_2(c_2(c_2(c_2(c_1(c_2(c_3(c_1(c_3(c_0(c_2(z0)))))))))))))))))) -> c51(2'(3(3(2(1(2(0(3(1(2(2(1(0(3(2(2(1(1(z0)))))))))))))))))), 3'(3(2(1(2(0(3(1(2(2(1(0(3(2(2(1(1(z0))))))))))))))))), 3'(2(1(2(0(3(1(2(2(1(0(3(2(2(1(1(z0)))))))))))))))), 2'(1(2(0(3(1(2(2(1(0(3(2(2(1(1(z0))))))))))))))), 1'(2(0(3(1(2(2(1(0(3(2(2(1(1(z0)))))))))))))), 2'(0(3(1(2(2(1(0(3(2(2(1(1(z0))))))))))))), 0'(3(1(2(2(1(0(3(2(2(1(1(z0)))))))))))), 3'(1(2(2(1(0(3(2(2(1(1(z0))))))))))), 1'(2(2(1(0(3(2(2(1(1(z0)))))))))), 2'(2(1(0(3(2(2(1(1(z0))))))))), 2'(1(0(3(2(2(1(1(z0)))))))), 1'(0(3(2(2(1(1(z0))))))), 0'(3(2(2(1(1(z0)))))), 3'(2(2(1(1(z0))))), 2'(2(1(1(z0)))), 2'(1(1(z0))), 1'(1(z0)), 1'(z0))
   2'(c_2(c_3(c_1(c_1(c_1(c_3(c_1(c_2(c_0(c_1(c_2(c_2(c_0(c_1(c_2(c_2(c_2(z0)))))))))))))))))) -> c52(2'(2(1(2(1(3(1(1(2(3(2(2(0(1(2(0(1(2(z0)))))))))))))))))), 2'(1(2(1(3(1(1(2(3(2(2(0(1(2(0(1(2(z0))))))))))))))))), 1'(2(1(3(1(1(2(3(2(2(0(1(2(0(1(2(z0)))))))))))))))), 2'(1(3(1(1(2(3(2(2(0(1(2(0(1(2(z0))))))))))))))), 1'(3(1(1(2(3(2(2(0(1(2(0(1(2(z0)))))))))))))), 3'(1(1(2(3(2(2(0(1(2(0(1(2(z0))))))))))))), 1'(1(2(3(2(2(0(1(2(0(1(2(z0)))))))))))), 1'(2(3(2(2(0(1(2(0(1(2(z0))))))))))), 2'(3(2(2(0(1(2(0(1(2(z0)))))))))), 3'(2(2(0(1(2(0(1(2(z0))))))))), 2'(2(0(1(2(0(1(2(z0)))))))), 2'(0(1(2(0(1(2(z0))))))), 0'(1(2(0(1(2(z0)))))), 1'(2(0(1(2(z0))))), 2'(0(1(2(z0)))), 0'(1(2(z0))), 1'(2(z0)), 2'(z0))
   2'(c_2(c_2(c_2(c_3(c_2(c_0(c_1(c_3(c_1(c_2(c_2(c_2(c_1(c_3(c_2(c_3(c_3(z0)))))))))))))))))) -> c53(2'(3(1(2(2(1(2(2(1(0(2(2(2(2(3(3(3(3(z0)))))))))))))))))), 3'(1(2(2(1(2(2(1(0(2(2(2(2(3(3(3(3(z0))))))))))))))))), 1'(2(2(1(2(2(1(0(2(2(2(2(3(3(3(3(z0)))))))))))))))), 2'(2(1(2(2(1(0(2(2(2(2(3(3(3(3(z0))))))))))))))), 2'(1(2(2(1(0(2(2(2(2(3(3(3(3(z0)))))))))))))), 1'(2(2(1(0(2(2(2(2(3(3(3(3(z0))))))))))))), 2'(2(1(0(2(2(2(2(3(3(3(3(z0)))))))))))), 2'(1(0(2(2(2(2(3(3(3(3(z0))))))))))), 1'(0(2(2(2(2(3(3(3(3(z0)))))))))), 0'(2(2(2(2(3(3(3(3(z0))))))))), 2'(2(2(2(3(3(3(3(z0)))))))), 2'(2(2(3(3(3(3(z0))))))), 2'(2(3(3(3(3(z0)))))), 2'(3(3(3(3(z0))))), 3'(3(3(3(z0)))), 3'(3(3(z0))), 3'(3(z0)), 3'(z0))
   2'(c_0(c_2(c_2(c_3(c_1(c_0(c_3(c_2(c_3(c_0(c_3(c_2(c_0(c_0(c_2(c_0(c_2(z0)))))))))))))))))) -> c54(2'(0(0(2(3(0(3(3(0(3(2(0(1(2(2(2(0(2(z0)))))))))))))))))), 0'(0(2(3(0(3(3(0(3(2(0(1(2(2(2(0(2(z0))))))))))))))))), 0'(2(3(0(3(3(0(3(2(0(1(2(2(2(0(2(z0)))))))))))))))), 2'(3(0(3(3(0(3(2(0(1(2(2(2(0(2(z0))))))))))))))), 3'(0(3(3(0(3(2(0(1(2(2(2(0(2(z0)))))))))))))), 0'(3(3(0(3(2(0(1(2(2(2(0(2(z0))))))))))))), 3'(3(0(3(2(0(1(2(2(2(0(2(z0)))))))))))), 3'(0(3(2(0(1(2(2(2(0(2(z0))))))))))), 0'(3(2(0(1(2(2(2(0(2(z0)))))))))), 3'(2(0(1(2(2(2(0(2(z0))))))))), 2'(0(1(2(2(2(0(2(z0)))))))), 0'(1(2(2(2(0(2(z0))))))), 1'(2(2(2(0(2(z0)))))), 2'(2(2(0(2(z0))))), 2'(2(0(2(z0)))), 2'(0(2(z0))), 0'(2(z0)), 2'(z0))
   2'(c_1(c_3(c_0(c_0(c_2(c_2(c_1(c_1(c_3(c_1(c_3(c_1(c_0(c_0(c_2(c_1(c_2(z0)))))))))))))))))) -> c55(0'(1(2(1(0(1(2(1(0(0(1(1(2(3(3(3(2(2(z0)))))))))))))))))), 1'(2(1(0(1(2(1(0(0(1(1(2(3(3(3(2(2(z0))))))))))))))))), 2'(1(0(1(2(1(0(0(1(1(2(3(3(3(2(2(z0)))))))))))))))), 1'(0(1(2(1(0(0(1(1(2(3(3(3(2(2(z0))))))))))))))), 0'(1(2(1(0(0(1(1(2(3(3(3(2(2(z0)))))))))))))), 1'(2(1(0(0(1(1(2(3(3(3(2(2(z0))))))))))))), 2'(1(0(0(1(1(2(3(3(3(2(2(z0)))))))))))), 1'(0(0(1(1(2(3(3(3(2(2(z0))))))))))), 0'(0(1(1(2(3(3(3(2(2(z0)))))))))), 0'(1(1(2(3(3(3(2(2(z0))))))))), 1'(1(2(3(3(3(2(2(z0)))))))), 1'(2(3(3(3(2(2(z0))))))), 2'(3(3(3(2(2(z0)))))), 3'(3(3(2(2(z0))))), 3'(3(2(2(z0)))), 3'(2(2(z0))), 2'(2(z0)), 2'(z0))
   2'(c_0(c_3(c_0(c_0(c_1(c_3(c_1(c_2(c_0(c_2(c_1(c_3(c_0(c_2(c_2(c_0(c_0(z0)))))))))))))))))) -> c56(0'(0(3(0(3(2(1(2(1(2(2(1(2(0(0(0(3(0(z0)))))))))))))))))), 0'(3(0(3(2(1(2(1(2(2(1(2(0(0(0(3(0(z0))))))))))))))))), 3'(0(3(2(1(2(1(2(2(1(2(0(0(0(3(0(z0)))))))))))))))), 0'(3(2(1(2(1(2(2(1(2(0(0(0(3(0(z0))))))))))))))), 3'(2(1(2(1(2(2(1(2(0(0(0(3(0(z0)))))))))))))), 2'(1(2(1(2(2(1(2(0(0(0(3(0(z0))))))))))))), 1'(2(1(2(2(1(2(0(0(0(3(0(z0)))))))))))), 2'(1(2(2(1(2(0(0(0(3(0(z0))))))))))), 1'(2(2(1(2(0(0(0(3(0(z0)))))))))), 2'(2(1(2(0(0(0(3(0(z0))))))))), 2'(1(2(0(0(0(3(0(z0)))))))), 1'(2(0(0(0(3(0(z0))))))), 2'(0(0(0(3(0(z0)))))), 0'(0(0(3(0(z0))))), 0'(0(3(0(z0)))), 0'(3(0(z0))), 3'(0(z0)), 0'(z0))
   2'(c_0(c_2(c_0(c_3(c_0(c_0(c_2(c_2(c_1(c_1(c_0(c_3(c_1(c_0(c_3(c_1(c_1(z0)))))))))))))))))) -> c57(2'(0(0(3(3(2(2(1(0(1(0(1(0(3(2(1(0(1(z0)))))))))))))))))), 0'(0(3(3(2(2(1(0(1(0(1(0(3(2(1(0(1(z0))))))))))))))))), 0'(3(3(2(2(1(0(1(0(1(0(3(2(1(0(1(z0)))))))))))))))), 3'(3(2(2(1(0(1(0(1(0(3(2(1(0(1(z0))))))))))))))), 3'(2(2(1(0(1(0(1(0(3(2(1(0(1(z0)))))))))))))), 2'(2(1(0(1(0(1(0(3(2(1(0(1(z0))))))))))))), 2'(1(0(1(0(1(0(3(2(1(0(1(z0)))))))))))), 1'(0(1(0(1(0(3(2(1(0(1(z0))))))))))), 0'(1(0(1(0(3(2(1(0(1(z0)))))))))), 1'(0(1(0(3(2(1(0(1(z0))))))))), 0'(1(0(3(2(1(0(1(z0)))))))), 1'(0(3(2(1(0(1(z0))))))), 0'(3(2(1(0(1(z0)))))), 3'(2(1(0(1(z0))))), 2'(1(0(1(z0)))), 1'(0(1(z0))), 0'(1(z0)), 1'(z0))
   2'(c_2(c_0(c_0(c_3(c_0(c_1(c_3(c_1(c_0(c_2(c_2(c_2(c_3(c_0(c_1(c_2(c_0(z0)))))))))))))))))) -> c58(0'(2(0(3(2(3(2(1(0(2(0(2(1(0(1(0(2(3(z0)))))))))))))))))), 2'(0(3(2(3(2(1(0(2(0(2(1(0(1(0(2(3(z0))))))))))))))))), 0'(3(2(3(2(1(0(2(0(2(1(0(1(0(2(3(z0)))))))))))))))), 3'(2(3(2(1(0(2(0(2(1(0(1(0(2(3(z0))))))))))))))), 2'(3(2(1(0(2(0(2(1(0(1(0(2(3(z0)))))))))))))), 3'(2(1(0(2(0(2(1(0(1(0(2(3(z0))))))))))))), 2'(1(0(2(0(2(1(0(1(0(2(3(z0)))))))))))), 1'(0(2(0(2(1(0(1(0(2(3(z0))))))))))), 0'(2(0(2(1(0(1(0(2(3(z0)))))))))), 2'(0(2(1(0(1(0(2(3(z0))))))))), 0'(2(1(0(1(0(2(3(z0)))))))), 2'(1(0(1(0(2(3(z0))))))), 1'(0(1(0(2(3(z0)))))), 0'(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_0(c_1(c_1(c_3(c_1(c_1(c_1(c_2(c_2(c_2(c_2(c_2(c_0(c_1(c_3(z0)))))))))))))))))) -> c59(2'(0(1(2(0(0(3(2(2(1(1(1(1(2(2(1(3(0(z0)))))))))))))))))), 0'(1(2(0(0(3(2(2(1(1(1(1(2(2(1(3(0(z0))))))))))))))))), 1'(2(0(0(3(2(2(1(1(1(1(2(2(1(3(0(z0)))))))))))))))), 2'(0(0(3(2(2(1(1(1(1(2(2(1(3(0(z0))))))))))))))), 0'(0(3(2(2(1(1(1(1(2(2(1(3(0(z0)))))))))))))), 0'(3(2(2(1(1(1(1(2(2(1(3(0(z0))))))))))))), 3'(2(2(1(1(1(1(2(2(1(3(0(z0)))))))))))), 2'(2(1(1(1(1(2(2(1(3(0(z0))))))))))), 2'(1(1(1(1(2(2(1(3(0(z0)))))))))), 1'(1(1(1(2(2(1(3(0(z0))))))))), 1'(1(1(2(2(1(3(0(z0)))))))), 1'(1(2(2(1(3(0(z0))))))), 1'(2(2(1(3(0(z0)))))), 2'(2(1(3(0(z0))))), 2'(1(3(0(z0)))), 1'(3(0(z0))), 3'(0(z0)), 0'(z0))
   2'(c_0(c_3(c_1(c_0(c_3(c_2(c_1(c_0(c_2(c_3(c_1(c_0(c_2(c_2(c_1(c_1(c_1(z0)))))))))))))))))) -> c60(2'(1(2(2(2(0(1(1(0(0(3(3(1(3(0(2(1(1(z0)))))))))))))))))), 1'(2(2(2(0(1(1(0(0(3(3(1(3(0(2(1(1(z0))))))))))))))))), 2'(2(2(0(1(1(0(0(3(3(1(3(0(2(1(1(z0)))))))))))))))), 2'(2(0(1(1(0(0(3(3(1(3(0(2(1(1(z0))))))))))))))), 2'(0(1(1(0(0(3(3(1(3(0(2(1(1(z0)))))))))))))), 0'(1(1(0(0(3(3(1(3(0(2(1(1(z0))))))))))))), 1'(1(0(0(3(3(1(3(0(2(1(1(z0)))))))))))), 1'(0(0(3(3(1(3(0(2(1(1(z0))))))))))), 0'(0(3(3(1(3(0(2(1(1(z0)))))))))), 0'(3(3(1(3(0(2(1(1(z0))))))))), 3'(3(1(3(0(2(1(1(z0)))))))), 3'(1(3(0(2(1(1(z0))))))), 1'(3(0(2(1(1(z0)))))), 3'(0(2(1(1(z0))))), 0'(2(1(1(z0)))), 2'(1(1(z0))), 1'(1(z0)), 1'(z0))
   2'(c_1(c_2(c_1(c_3(c_0(c_2(c_2(c_3(c_2(c_3(c_1(c_1(c_1(c_3(c_3(c_0(c_2(z0)))))))))))))))))) -> c61(2'(1(2(1(3(2(1(2(3(2(3(3(0(0(3(1(2(1(z0)))))))))))))))))), 1'(2(1(3(2(1(2(3(2(3(3(0(0(3(1(2(1(z0))))))))))))))))), 2'(1(3(2(1(2(3(2(3(3(0(0(3(1(2(1(z0)))))))))))))))), 1'(3(2(1(2(3(2(3(3(0(0(3(1(2(1(z0))))))))))))))), 3'(2(1(2(3(2(3(3(0(0(3(1(2(1(z0)))))))))))))), 2'(1(2(3(2(3(3(0(0(3(1(2(1(z0))))))))))))), 1'(2(3(2(3(3(0(0(3(1(2(1(z0)))))))))))), 2'(3(2(3(3(0(0(3(1(2(1(z0))))))))))), 3'(2(3(3(0(0(3(1(2(1(z0)))))))))), 2'(3(3(0(0(3(1(2(1(z0))))))))), 3'(3(0(0(3(1(2(1(z0)))))))), 3'(0(0(3(1(2(1(z0))))))), 0'(0(3(1(2(1(z0)))))), 0'(3(1(2(1(z0))))), 3'(1(2(1(z0)))), 1'(2(1(z0))), 2'(1(z0)), 1'(z0))
   2'(c_2(c_1(c_3(c_3(c_0(c_0(c_2(c_1(c_3(c_0(c_1(c_2(c_2(c_2(c_2(c_3(c_3(z0)))))))))))))))))) -> c62(2'(0(2(2(0(2(1(0(3(2(2(1(1(3(2(3(3(3(z0)))))))))))))))))), 0'(2(2(0(2(1(0(3(2(2(1(1(3(2(3(3(3(z0))))))))))))))))), 2'(2(0(2(1(0(3(2(2(1(1(3(2(3(3(3(z0)))))))))))))))), 2'(0(2(1(0(3(2(2(1(1(3(2(3(3(3(z0))))))))))))))), 0'(2(1(0(3(2(2(1(1(3(2(3(3(3(z0)))))))))))))), 2'(1(0(3(2(2(1(1(3(2(3(3(3(z0))))))))))))), 1'(0(3(2(2(1(1(3(2(3(3(3(z0)))))))))))), 0'(3(2(2(1(1(3(2(3(3(3(z0))))))))))), 3'(2(2(1(1(3(2(3(3(3(z0)))))))))), 2'(2(1(1(3(2(3(3(3(z0))))))))), 2'(1(1(3(2(3(3(3(z0)))))))), 1'(1(3(2(3(3(3(z0))))))), 1'(3(2(3(3(3(z0)))))), 3'(2(3(3(3(z0))))), 2'(3(3(3(z0)))), 3'(3(3(z0))), 3'(3(z0)), 3'(z0))
   2'(c_1(c_2(c_3(c_1(c_3(c_2(c_0(c_2(c_2(c_3(c_3(c_3(c_2(c_3(c_1(c_3(c_3(z0)))))))))))))))))) -> c63(2'(3(3(2(2(1(3(2(3(2(1(0(3(3(1(2(3(3(z0)))))))))))))))))), 3'(3(2(2(1(3(2(3(2(1(0(3(3(1(2(3(3(z0))))))))))))))))), 3'(2(2(1(3(2(3(2(1(0(3(3(1(2(3(3(z0)))))))))))))))), 2'(2(1(3(2(3(2(1(0(3(3(1(2(3(3(z0))))))))))))))), 2'(1(3(2(3(2(1(0(3(3(1(2(3(3(z0)))))))))))))), 1'(3(2(3(2(1(0(3(3(1(2(3(3(z0))))))))))))), 3'(2(3(2(1(0(3(3(1(2(3(3(z0)))))))))))), 2'(3(2(1(0(3(3(1(2(3(3(z0))))))))))), 3'(2(1(0(3(3(1(2(3(3(z0)))))))))), 2'(1(0(3(3(1(2(3(3(z0))))))))), 1'(0(3(3(1(2(3(3(z0)))))))), 0'(3(3(1(2(3(3(z0))))))), 3'(3(1(2(3(3(z0)))))), 3'(1(2(3(3(z0))))), 1'(2(3(3(z0)))), 2'(3(3(z0))), 3'(3(z0)), 3'(z0))
   2'(c_0(c_1(c_0(c_1(c_2(c_2(c_2(c_2(c_3(c_3(c_1(c_1(c_1(c_1(c_2(c_1(c_2(z0)))))))))))))))))) -> c64(0'(2(2(1(1(1(2(1(0(3(3(2(2(1(1(2(1(2(z0)))))))))))))))))), 2'(2(1(1(1(2(1(0(3(3(2(2(1(1(2(1(2(z0))))))))))))))))), 2'(1(1(1(2(1(0(3(3(2(2(1(1(2(1(2(z0)))))))))))))))), 1'(1(1(2(1(0(3(3(2(2(1(1(2(1(2(z0))))))))))))))), 1'(1(2(1(0(3(3(2(2(1(1(2(1(2(z0)))))))))))))), 1'(2(1(0(3(3(2(2(1(1(2(1(2(z0))))))))))))), 2'(1(0(3(3(2(2(1(1(2(1(2(z0)))))))))))), 1'(0(3(3(2(2(1(1(2(1(2(z0))))))))))), 0'(3(3(2(2(1(1(2(1(2(z0)))))))))), 3'(3(2(2(1(1(2(1(2(z0))))))))), 3'(2(2(1(1(2(1(2(z0)))))))), 2'(2(1(1(2(1(2(z0))))))), 2'(1(1(2(1(2(z0)))))), 1'(1(2(1(2(z0))))), 1'(2(1(2(z0)))), 2'(1(2(z0))), 1'(2(z0)), 2'(z0))
   2'(c_3(c_0(c_1(c_3(c_1(c_3(c_3(c_0(c_3(c_0(c_2(c_0(c_3(c_1(c_3(c_2(c_3(z0)))))))))))))))))) -> c65(0'(2(0(3(3(3(2(1(3(0(3(3(3(3(1(1(2(0(z0)))))))))))))))))), 2'(0(3(3(3(2(1(3(0(3(3(3(3(1(1(2(0(z0))))))))))))))))), 0'(3(3(3(2(1(3(0(3(3(3(3(1(1(2(0(z0)))))))))))))))), 3'(3(3(2(1(3(0(3(3(3(3(1(1(2(0(z0))))))))))))))), 3'(3(2(1(3(0(3(3(3(3(1(1(2(0(z0)))))))))))))), 3'(2(1(3(0(3(3(3(3(1(1(2(0(z0))))))))))))), 2'(1(3(0(3(3(3(3(1(1(2(0(z0)))))))))))), 1'(3(0(3(3(3(3(1(1(2(0(z0))))))))))), 3'(0(3(3(3(3(1(1(2(0(z0)))))))))), 0'(3(3(3(3(1(1(2(0(z0))))))))), 3'(3(3(3(1(1(2(0(z0)))))))), 3'(3(3(1(1(2(0(z0))))))), 3'(3(1(1(2(0(z0)))))), 3'(1(1(2(0(z0))))), 1'(1(2(0(z0)))), 1'(2(0(z0))), 2'(0(z0)), 0'(z0))
   3'(z0) -> c66
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   3'(c_1(c_3(c_2(c_1(c_3(c_1(c_0(c_3(c_2(c_0(c_2(c_0(c_3(c_0(c_2(c_3(c_3(z0)))))))))))))))))) -> c72(2'(2(0(1(2(1(0(3(3(3(0(3(2(1(3(3(3(0(z0)))))))))))))))))), 2'(0(1(2(1(0(3(3(3(0(3(2(1(3(3(3(0(z0))))))))))))))))), 0'(1(2(1(0(3(3(3(0(3(2(1(3(3(3(0(z0)))))))))))))))), 1'(2(1(0(3(3(3(0(3(2(1(3(3(3(0(z0))))))))))))))), 2'(1(0(3(3(3(0(3(2(1(3(3(3(0(z0)))))))))))))), 1'(0(3(3(3(0(3(2(1(3(3(3(0(z0))))))))))))), 0'(3(3(3(0(3(2(1(3(3(3(0(z0)))))))))))), 3'(3(3(0(3(2(1(3(3(3(0(z0))))))))))), 3'(3(0(3(2(1(3(3(3(0(z0)))))))))), 3'(0(3(2(1(3(3(3(0(z0))))))))), 0'(3(2(1(3(3(3(0(z0)))))))), 3'(2(1(3(3(3(0(z0))))))), 2'(1(3(3(3(0(z0)))))), 1'(3(3(3(0(z0))))), 3'(3(3(0(z0)))), 3'(3(0(z0))), 3'(0(z0)), 0'(z0))
   3'(c_1(c_3(c_1(c_1(c_1(c_1(c_3(c_2(c_0(c_0(c_2(c_2(c_2(c_1(c_3(c_3(c_1(z0)))))))))))))))))) -> c73(3'(1(0(3(1(1(0(2(2(2(3(1(2(1(1(3(3(1(z0)))))))))))))))))), 1'(0(3(1(1(0(2(2(2(3(1(2(1(1(3(3(1(z0))))))))))))))))), 0'(3(1(1(0(2(2(2(3(1(2(1(1(3(3(1(z0)))))))))))))))), 3'(1(1(0(2(2(2(3(1(2(1(1(3(3(1(z0))))))))))))))), 1'(1(0(2(2(2(3(1(2(1(1(3(3(1(z0)))))))))))))), 1'(0(2(2(2(3(1(2(1(1(3(3(1(z0))))))))))))), 0'(2(2(2(3(1(2(1(1(3(3(1(z0)))))))))))), 2'(2(2(3(1(2(1(1(3(3(1(z0))))))))))), 2'(2(3(1(2(1(1(3(3(1(z0)))))))))), 2'(3(1(2(1(1(3(3(1(z0))))))))), 3'(1(2(1(1(3(3(1(z0)))))))), 1'(2(1(1(3(3(1(z0))))))), 2'(1(1(3(3(1(z0)))))), 1'(1(3(3(1(z0))))), 1'(3(3(1(z0)))), 3'(3(1(z0))), 3'(1(z0)), 1'(z0))
   3'(c_0(c_0(c_2(c_2(c_2(c_1(c_3(c_1(c_3(c_3(c_3(c_2(c_0(c_2(c_3(c_3(c_3(z0)))))))))))))))))) -> c74(2'(1(2(1(2(3(3(0(2(3(0(3(3(3(2(0(3(3(z0)))))))))))))))))), 1'(2(1(2(3(3(0(2(3(0(3(3(3(2(0(3(3(z0))))))))))))))))), 2'(1(2(3(3(0(2(3(0(3(3(3(2(0(3(3(z0)))))))))))))))), 1'(2(3(3(0(2(3(0(3(3(3(2(0(3(3(z0))))))))))))))), 2'(3(3(0(2(3(0(3(3(3(2(0(3(3(z0)))))))))))))), 3'(3(0(2(3(0(3(3(3(2(0(3(3(z0))))))))))))), 3'(0(2(3(0(3(3(3(2(0(3(3(z0)))))))))))), 0'(2(3(0(3(3(3(2(0(3(3(z0))))))))))), 2'(3(0(3(3(3(2(0(3(3(z0)))))))))), 3'(0(3(3(3(2(0(3(3(z0))))))))), 0'(3(3(3(2(0(3(3(z0)))))))), 3'(3(3(2(0(3(3(z0))))))), 3'(3(2(0(3(3(z0)))))), 3'(2(0(3(3(z0))))), 2'(0(3(3(z0)))), 0'(3(3(z0))), 3'(3(z0)), 3'(z0))
   3'(c_3(c_3(c_1(c_3(c_1(c_3(c_0(c_3(c_3(c_2(c_0(c_1(c_3(c_0(c_1(c_2(c_3(z0)))))))))))))))))) -> c75(3'(3(3(1(1(3(1(3(3(3(2(3(0(3(1(2(0(0(z0)))))))))))))))))), 3'(3(1(1(3(1(3(3(3(2(3(0(3(1(2(0(0(z0))))))))))))))))), 3'(1(1(3(1(3(3(3(2(3(0(3(1(2(0(0(z0)))))))))))))))), 1'(1(3(1(3(3(3(2(3(0(3(1(2(0(0(z0))))))))))))))), 1'(3(1(3(3(3(2(3(0(3(1(2(0(0(z0)))))))))))))), 3'(1(3(3(3(2(3(0(3(1(2(0(0(z0))))))))))))), 1'(3(3(3(2(3(0(3(1(2(0(0(z0)))))))))))), 3'(3(3(2(3(0(3(1(2(0(0(z0))))))))))), 3'(3(2(3(0(3(1(2(0(0(z0)))))))))), 3'(2(3(0(3(1(2(0(0(z0))))))))), 2'(3(0(3(1(2(0(0(z0)))))))), 3'(0(3(1(2(0(0(z0))))))), 0'(3(1(2(0(0(z0)))))), 3'(1(2(0(0(z0))))), 1'(2(0(0(z0)))), 2'(0(0(z0))), 0'(0(z0)), 0'(z0))
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   3'(c_3(c_2(c_1(c_3(c_2(c_0(c_2(c_0(c_0(c_3(c_1(c_3(c_0(c_2(c_0(c_2(c_2(z0)))))))))))))))))) -> c81(2'(0(1(3(2(2(2(1(2(3(3(0(3(0(0(0(3(2(z0)))))))))))))))))), 0'(1(3(2(2(2(1(2(3(3(0(3(0(0(0(3(2(z0))))))))))))))))), 1'(3(2(2(2(1(2(3(3(0(3(0(0(0(3(2(z0)))))))))))))))), 3'(2(2(2(1(2(3(3(0(3(0(0(0(3(2(z0))))))))))))))), 2'(2(2(1(2(3(3(0(3(0(0(0(3(2(z0)))))))))))))), 2'(2(1(2(3(3(0(3(0(0(0(3(2(z0))))))))))))), 2'(1(2(3(3(0(3(0(0(0(3(2(z0)))))))))))), 1'(2(3(3(0(3(0(0(0(3(2(z0))))))))))), 2'(3(3(0(3(0(0(0(3(2(z0)))))))))), 3'(3(0(3(0(0(0(3(2(z0))))))))), 3'(0(3(0(0(0(3(2(z0)))))))), 0'(3(0(0(0(3(2(z0))))))), 3'(0(0(0(3(2(z0)))))), 0'(0(0(3(2(z0))))), 0'(0(3(2(z0)))), 0'(3(2(z0))), 3'(2(z0)), 2'(z0))
   3'(c_0(c_2(c_2(c_3(c_2(c_2(c_3(c_2(c_2(c_3(c_3(c_2(c_0(c_1(c_3(c_2(c_3(z0)))))))))))))))))) -> c82(0'(3(3(2(1(3(3(2(2(3(2(2(2(0(3(2(2(3(z0)))))))))))))))))), 3'(3(2(1(3(3(2(2(3(2(2(2(0(3(2(2(3(z0))))))))))))))))), 3'(2(1(3(3(2(2(3(2(2(2(0(3(2(2(3(z0)))))))))))))))), 2'(1(3(3(2(2(3(2(2(2(0(3(2(2(3(z0))))))))))))))), 1'(3(3(2(2(3(2(2(2(0(3(2(2(3(z0)))))))))))))), 3'(3(2(2(3(2(2(2(0(3(2(2(3(z0))))))))))))), 3'(2(2(3(2(2(2(0(3(2(2(3(z0)))))))))))), 2'(2(3(2(2(2(0(3(2(2(3(z0))))))))))), 2'(3(2(2(2(0(3(2(2(3(z0)))))))))), 3'(2(2(2(0(3(2(2(3(z0))))))))), 2'(2(2(0(3(2(2(3(z0)))))))), 2'(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))
   3'(c_0(c_1(c_2(c_1(c_0(c_2(c_1(c_1(c_3(c_0(c_1(c_2(c_3(c_1(c_1(c_1(c_1(z0)))))))))))))))))) -> c83(3'(3(1(1(1(0(1(2(1(1(1(2(2(3(0(1(0(1(z0)))))))))))))))))), 3'(1(1(1(0(1(2(1(1(1(2(2(3(0(1(0(1(z0))))))))))))))))), 1'(1(1(0(1(2(1(1(1(2(2(3(0(1(0(1(z0)))))))))))))))), 1'(1(0(1(2(1(1(1(2(2(3(0(1(0(1(z0))))))))))))))), 1'(0(1(2(1(1(1(2(2(3(0(1(0(1(z0)))))))))))))), 0'(1(2(1(1(1(2(2(3(0(1(0(1(z0))))))))))))), 1'(2(1(1(1(2(2(3(0(1(0(1(z0)))))))))))), 2'(1(1(1(2(2(3(0(1(0(1(z0))))))))))), 1'(1(1(2(2(3(0(1(0(1(z0)))))))))), 1'(1(2(2(3(0(1(0(1(z0))))))))), 1'(2(2(3(0(1(0(1(z0)))))))), 2'(2(3(0(1(0(1(z0))))))), 2'(3(0(1(0(1(z0)))))), 3'(0(1(0(1(z0))))), 0'(1(0(1(z0)))), 1'(0(1(z0))), 0'(1(z0)), 1'(z0))
   3'(c_3(c_2(c_1(c_3(c_0(c_0(c_1(c_3(c_2(c_0(c_0(c_2(c_3(c_3(c_0(c_0(c_2(z0)))))))))))))))))) -> c84(3'(0(0(3(0(3(0(1(2(0(3(1(3(0(3(2(2(2(z0)))))))))))))))))), 0'(0(3(0(3(0(1(2(0(3(1(3(0(3(2(2(2(z0))))))))))))))))), 0'(3(0(3(0(1(2(0(3(1(3(0(3(2(2(2(z0)))))))))))))))), 3'(0(3(0(1(2(0(3(1(3(0(3(2(2(2(z0))))))))))))))), 0'(3(0(1(2(0(3(1(3(0(3(2(2(2(z0)))))))))))))), 3'(0(1(2(0(3(1(3(0(3(2(2(2(z0))))))))))))), 0'(1(2(0(3(1(3(0(3(2(2(2(z0)))))))))))), 1'(2(0(3(1(3(0(3(2(2(2(z0))))))))))), 2'(0(3(1(3(0(3(2(2(2(z0)))))))))), 0'(3(1(3(0(3(2(2(2(z0))))))))), 3'(1(3(0(3(2(2(2(z0)))))))), 1'(3(0(3(2(2(2(z0))))))), 3'(0(3(2(2(2(z0)))))), 0'(3(2(2(2(z0))))), 3'(2(2(2(z0)))), 2'(2(2(z0))), 2'(2(z0)), 2'(z0))
   3'(c_3(c_0(c_2(c_0(c_2(c_0(c_1(c_2(c_0(c_2(c_3(c_0(c_2(c_2(c_0(c_3(c_3(z0)))))))))))))))))) -> c85(3'(2(0(3(2(0(0(0(3(0(3(2(2(2(1(2(0(3(z0)))))))))))))))))), 2'(0(3(2(0(0(0(3(0(3(2(2(2(1(2(0(3(z0))))))))))))))))), 0'(3(2(0(0(0(3(0(3(2(2(2(1(2(0(3(z0)))))))))))))))), 3'(2(0(0(0(3(0(3(2(2(2(1(2(0(3(z0))))))))))))))), 2'(0(0(0(3(0(3(2(2(2(1(2(0(3(z0)))))))))))))), 0'(0(0(3(0(3(2(2(2(1(2(0(3(z0))))))))))))), 0'(0(3(0(3(2(2(2(1(2(0(3(z0)))))))))))), 0'(3(0(3(2(2(2(1(2(0(3(z0))))))))))), 3'(0(3(2(2(2(1(2(0(3(z0)))))))))), 0'(3(2(2(2(1(2(0(3(z0))))))))), 3'(2(2(2(1(2(0(3(z0)))))))), 2'(2(2(1(2(0(3(z0))))))), 2'(2(1(2(0(3(z0)))))), 2'(1(2(0(3(z0))))), 1'(2(0(3(z0)))), 2'(0(3(z0))), 0'(3(z0)), 3'(z0))
   3'(c_2(c_2(c_1(c_2(c_2(c_3(c_1(c_1(c_2(c_0(c_1(c_3(c_1(c_2(c_2(c_1(c_1(z0)))))))))))))))))) -> c86(3'(1(1(1(2(2(1(3(2(3(2(2(1(1(2(0(2(1(z0)))))))))))))))))), 1'(1(1(2(2(1(3(2(3(2(2(1(1(2(0(2(1(z0))))))))))))))))), 1'(1(2(2(1(3(2(3(2(2(1(1(2(0(2(1(z0)))))))))))))))), 1'(2(2(1(3(2(3(2(2(1(1(2(0(2(1(z0))))))))))))))), 2'(2(1(3(2(3(2(2(1(1(2(0(2(1(z0)))))))))))))), 2'(1(3(2(3(2(2(1(1(2(0(2(1(z0))))))))))))), 1'(3(2(3(2(2(1(1(2(0(2(1(z0)))))))))))), 3'(2(3(2(2(1(1(2(0(2(1(z0))))))))))), 2'(3(2(2(1(1(2(0(2(1(z0)))))))))), 3'(2(2(1(1(2(0(2(1(z0))))))))), 2'(2(1(1(2(0(2(1(z0)))))))), 2'(1(1(2(0(2(1(z0))))))), 1'(1(2(0(2(1(z0)))))), 1'(2(0(2(1(z0))))), 2'(0(2(1(z0)))), 0'(2(1(z0))), 2'(1(z0)), 1'(z0))
   3'(c_2(c_2(c_2(c_3(c_2(c_3(c_0(c_1(c_3(c_2(c_1(c_3(c_2(c_3(c_0(c_2(c_1(z0)))))))))))))))))) -> c87(0'(0(3(3(2(1(2(1(3(3(3(3(2(2(2(2(2(1(z0)))))))))))))))))), 0'(3(3(2(1(2(1(3(3(3(3(2(2(2(2(2(1(z0))))))))))))))))), 3'(3(2(1(2(1(3(3(3(3(2(2(2(2(2(1(z0)))))))))))))))), 3'(2(1(2(1(3(3(3(3(2(2(2(2(2(1(z0))))))))))))))), 2'(1(2(1(3(3(3(3(2(2(2(2(2(1(z0)))))))))))))), 1'(2(1(3(3(3(3(2(2(2(2(2(1(z0))))))))))))), 2'(1(3(3(3(3(2(2(2(2(2(1(z0)))))))))))), 1'(3(3(3(3(2(2(2(2(2(1(z0))))))))))), 3'(3(3(3(2(2(2(2(2(1(z0)))))))))), 3'(3(3(2(2(2(2(2(1(z0))))))))), 3'(3(2(2(2(2(2(1(z0)))))))), 3'(2(2(2(2(2(1(z0))))))), 2'(2(2(2(2(1(z0)))))), 2'(2(2(2(1(z0))))), 2'(2(2(1(z0)))), 2'(2(1(z0))), 2'(1(z0)), 1'(z0))
   3'(c_1(c_3(c_2(c_1(c_1(c_3(c_1(c_2(c_2(c_1(c_3(c_2(c_3(c_1(c_0(c_3(c_1(z0)))))))))))))))))) -> c88(3'(1(3(3(1(2(0(1(1(2(2(1(3(3(2(3(1(1(z0)))))))))))))))))), 1'(3(3(1(2(0(1(1(2(2(1(3(3(2(3(1(1(z0))))))))))))))))), 3'(3(1(2(0(1(1(2(2(1(3(3(2(3(1(1(z0)))))))))))))))), 3'(1(2(0(1(1(2(2(1(3(3(2(3(1(1(z0))))))))))))))), 1'(2(0(1(1(2(2(1(3(3(2(3(1(1(z0)))))))))))))), 2'(0(1(1(2(2(1(3(3(2(3(1(1(z0))))))))))))), 0'(1(1(2(2(1(3(3(2(3(1(1(z0)))))))))))), 1'(1(2(2(1(3(3(2(3(1(1(z0))))))))))), 1'(2(2(1(3(3(2(3(1(1(z0)))))))))), 2'(2(1(3(3(2(3(1(1(z0))))))))), 2'(1(3(3(2(3(1(1(z0)))))))), 1'(3(3(2(3(1(1(z0))))))), 3'(3(2(3(1(1(z0)))))), 3'(2(3(1(1(z0))))), 2'(3(1(1(z0)))), 3'(1(1(z0))), 1'(1(z0)), 1'(z0))
   3'(c_2(c_1(c_3(c_1(c_2(c_2(c_2(c_3(c_3(c_0(c_2(c_1(c_3(c_0(c_2(c_0(c_2(z0)))))))))))))))))) -> c89(3'(3(3(2(3(2(2(0(2(2(1(0(3(2(1(2(1(0(z0)))))))))))))))))), 3'(3(2(3(2(2(0(2(2(1(0(3(2(1(2(1(0(z0))))))))))))))))), 3'(2(3(2(2(0(2(2(1(0(3(2(1(2(1(0(z0)))))))))))))))), 2'(3(2(2(0(2(2(1(0(3(2(1(2(1(0(z0))))))))))))))), 3'(2(2(0(2(2(1(0(3(2(1(2(1(0(z0)))))))))))))), 2'(2(0(2(2(1(0(3(2(1(2(1(0(z0))))))))))))), 2'(0(2(2(1(0(3(2(1(2(1(0(z0)))))))))))), 0'(2(2(1(0(3(2(1(2(1(0(z0))))))))))), 2'(2(1(0(3(2(1(2(1(0(z0)))))))))), 2'(1(0(3(2(1(2(1(0(z0))))))))), 1'(0(3(2(1(2(1(0(z0)))))))), 0'(3(2(1(2(1(0(z0))))))), 3'(2(1(2(1(0(z0)))))), 2'(1(2(1(0(z0))))), 1'(2(1(0(z0)))), 2'(1(0(z0))), 1'(0(z0)), 0'(z0))
   3'(c_1(c_0(c_0(c_3(c_0(c_0(c_0(c_0(c_1(c_2(c_0(c_2(c_0(c_2(c_0(c_0(c_1(z0)))))))))))))))))) -> c90(3'(0(0(0(0(0(2(0(0(0(0(3(0(2(1(1(2(1(z0)))))))))))))))))), 0'(0(0(0(0(2(0(0(0(0(3(0(2(1(1(2(1(z0))))))))))))))))), 0'(0(0(0(2(0(0(0(0(3(0(2(1(1(2(1(z0)))))))))))))))), 0'(0(0(2(0(0(0(0(3(0(2(1(1(2(1(z0))))))))))))))), 0'(0(2(0(0(0(0(3(0(2(1(1(2(1(z0)))))))))))))), 0'(2(0(0(0(0(3(0(2(1(1(2(1(z0))))))))))))), 2'(0(0(0(0(3(0(2(1(1(2(1(z0)))))))))))), 0'(0(0(0(3(0(2(1(1(2(1(z0))))))))))), 0'(0(0(3(0(2(1(1(2(1(z0)))))))))), 0'(0(3(0(2(1(1(2(1(z0))))))))), 0'(3(0(2(1(1(2(1(z0)))))))), 3'(0(2(1(1(2(1(z0))))))), 0'(2(1(1(2(1(z0)))))), 2'(1(1(2(1(z0))))), 1'(1(2(1(z0)))), 1'(2(1(z0))), 2'(1(z0)), 1'(z0))
   3'(c_3(c_0(c_3(c_1(c_0(c_0(c_2(c_2(c_2(c_0(c_0(c_0(c_2(c_2(c_1(c_3(c_2(z0)))))))))))))))))) -> c91(0'(3(2(0(3(3(1(2(1(2(2(0(3(0(0(0(2(2(z0)))))))))))))))))), 3'(2(0(3(3(1(2(1(2(2(0(3(0(0(0(2(2(z0))))))))))))))))), 2'(0(3(3(1(2(1(2(2(0(3(0(0(0(2(2(z0)))))))))))))))), 0'(3(3(1(2(1(2(2(0(3(0(0(0(2(2(z0))))))))))))))), 3'(3(1(2(1(2(2(0(3(0(0(0(2(2(z0)))))))))))))), 3'(1(2(1(2(2(0(3(0(0(0(2(2(z0))))))))))))), 1'(2(1(2(2(0(3(0(0(0(2(2(z0)))))))))))), 2'(1(2(2(0(3(0(0(0(2(2(z0))))))))))), 1'(2(2(0(3(0(0(0(2(2(z0)))))))))), 2'(2(0(3(0(0(0(2(2(z0))))))))), 2'(0(3(0(0(0(2(2(z0)))))))), 0'(3(0(0(0(2(2(z0))))))), 3'(0(0(0(2(2(z0)))))), 0'(0(0(2(2(z0))))), 0'(0(2(2(z0)))), 0'(2(2(z0))), 2'(2(z0)), 2'(z0))
S tuples:
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   3'(c_0(c_3(c_2(c_2(c_0(c_2(c_0(c_0(c_0(c_1(c_3(c_2(c_3(c_3(c_0(c_3(c_0(z0)))))))))))))))))) -> c79(3'(0(2(0(1(2(2(0(3(0(2(0(3(0(3(3(3(0(z0)))))))))))))))))), 0'(2(0(1(2(2(0(3(0(2(0(3(0(3(3(3(0(z0))))))))))))))))), 2'(0(1(2(2(0(3(0(2(0(3(0(3(3(3(0(z0)))))))))))))))), 0'(1(2(2(0(3(0(2(0(3(0(3(3(3(0(z0))))))))))))))), 1'(2(2(0(3(0(2(0(3(0(3(3(3(0(z0)))))))))))))), 2'(2(0(3(0(2(0(3(0(3(3(3(0(z0))))))))))))), 2'(0(3(0(2(0(3(0(3(3(3(0(z0)))))))))))), 0'(3(0(2(0(3(0(3(3(3(0(z0))))))))))), 3'(0(2(0(3(0(3(3(3(0(z0)))))))))), 0'(2(0(3(0(3(3(3(0(z0))))))))), 2'(0(3(0(3(3(3(0(z0)))))))), 0'(3(0(3(3(3(0(z0))))))), 3'(0(3(3(3(0(z0)))))), 0'(3(3(3(0(z0))))), 3'(3(3(0(z0)))), 3'(3(0(z0))), 3'(0(z0)), 0'(z0))
   3'(c_0(c_2(c_2(c_0(c_1(c_2(c_0(c_0(c_2(c_0(c_2(c_2(c_2(c_3(c_1(c_0(c_2(z0)))))))))))))))))) -> c80(0'(2(1(2(2(3(0(0(3(2(2(1(2(0(2(0(0(2(z0)))))))))))))))))), 2'(1(2(2(3(0(0(3(2(2(1(2(0(2(0(0(2(z0))))))))))))))))), 1'(2(2(3(0(0(3(2(2(1(2(0(2(0(0(2(z0)))))))))))))))), 2'(2(3(0(0(3(2(2(1(2(0(2(0(0(2(z0))))))))))))))), 2'(3(0(0(3(2(2(1(2(0(2(0(0(2(z0)))))))))))))), 3'(0(0(3(2(2(1(2(0(2(0(0(2(z0))))))))))))), 0'(0(3(2(2(1(2(0(2(0(0(2(z0)))))))))))), 0'(3(2(2(1(2(0(2(0(0(2(z0))))))))))), 3'(2(2(1(2(0(2(0(0(2(z0)))))))))), 2'(2(1(2(0(2(0(0(2(z0))))))))), 2'(1(2(0(2(0(0(2(z0)))))))), 1'(2(0(2(0(0(2(z0))))))), 2'(0(2(0(0(2(z0)))))), 0'(2(0(0(2(z0))))), 2'(0(0(2(z0)))), 0'(0(2(z0))), 0'(2(z0)), 2'(z0))
   3'(c_3(c_2(c_1(c_3(c_2(c_0(c_2(c_0(c_0(c_3(c_1(c_3(c_0(c_2(c_0(c_2(c_2(z0)))))))))))))))))) -> c81(2'(0(1(3(2(2(2(1(2(3(3(0(3(0(0(0(3(2(z0)))))))))))))))))), 0'(1(3(2(2(2(1(2(3(3(0(3(0(0(0(3(2(z0))))))))))))))))), 1'(3(2(2(2(1(2(3(3(0(3(0(0(0(3(2(z0)))))))))))))))), 3'(2(2(2(1(2(3(3(0(3(0(0(0(3(2(z0))))))))))))))), 2'(2(2(1(2(3(3(0(3(0(0(0(3(2(z0)))))))))))))), 2'(2(1(2(3(3(0(3(0(0(0(3(2(z0))))))))))))), 2'(1(2(3(3(0(3(0(0(0(3(2(z0)))))))))))), 1'(2(3(3(0(3(0(0(0(3(2(z0))))))))))), 2'(3(3(0(3(0(0(0(3(2(z0)))))))))), 3'(3(0(3(0(0(0(3(2(z0))))))))), 3'(0(3(0(0(0(3(2(z0)))))))), 0'(3(0(0(0(3(2(z0))))))), 3'(0(0(0(3(2(z0)))))), 0'(0(0(3(2(z0))))), 0'(0(3(2(z0)))), 0'(3(2(z0))), 3'(2(z0)), 2'(z0))
   3'(c_0(c_2(c_2(c_3(c_2(c_2(c_3(c_2(c_2(c_3(c_3(c_2(c_0(c_1(c_3(c_2(c_3(z0)))))))))))))))))) -> c82(0'(3(3(2(1(3(3(2(2(3(2(2(2(0(3(2(2(3(z0)))))))))))))))))), 3'(3(2(1(3(3(2(2(3(2(2(2(0(3(2(2(3(z0))))))))))))))))), 3'(2(1(3(3(2(2(3(2(2(2(0(3(2(2(3(z0)))))))))))))))), 2'(1(3(3(2(2(3(2(2(2(0(3(2(2(3(z0))))))))))))))), 1'(3(3(2(2(3(2(2(2(0(3(2(2(3(z0)))))))))))))), 3'(3(2(2(3(2(2(2(0(3(2(2(3(z0))))))))))))), 3'(2(2(3(2(2(2(0(3(2(2(3(z0)))))))))))), 2'(2(3(2(2(2(0(3(2(2(3(z0))))))))))), 2'(3(2(2(2(0(3(2(2(3(z0)))))))))), 3'(2(2(2(0(3(2(2(3(z0))))))))), 2'(2(2(0(3(2(2(3(z0)))))))), 2'(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))
   3'(c_0(c_1(c_2(c_1(c_0(c_2(c_1(c_1(c_3(c_0(c_1(c_2(c_3(c_1(c_1(c_1(c_1(z0)))))))))))))))))) -> c83(3'(3(1(1(1(0(1(2(1(1(1(2(2(3(0(1(0(1(z0)))))))))))))))))), 3'(1(1(1(0(1(2(1(1(1(2(2(3(0(1(0(1(z0))))))))))))))))), 1'(1(1(0(1(2(1(1(1(2(2(3(0(1(0(1(z0)))))))))))))))), 1'(1(0(1(2(1(1(1(2(2(3(0(1(0(1(z0))))))))))))))), 1'(0(1(2(1(1(1(2(2(3(0(1(0(1(z0)))))))))))))), 0'(1(2(1(1(1(2(2(3(0(1(0(1(z0))))))))))))), 1'(2(1(1(1(2(2(3(0(1(0(1(z0)))))))))))), 2'(1(1(1(2(2(3(0(1(0(1(z0))))))))))), 1'(1(1(2(2(3(0(1(0(1(z0)))))))))), 1'(1(2(2(3(0(1(0(1(z0))))))))), 1'(2(2(3(0(1(0(1(z0)))))))), 2'(2(3(0(1(0(1(z0))))))), 2'(3(0(1(0(1(z0)))))), 3'(0(1(0(1(z0))))), 0'(1(0(1(z0)))), 1'(0(1(z0))), 0'(1(z0)), 1'(z0))
   3'(c_3(c_2(c_1(c_3(c_0(c_0(c_1(c_3(c_2(c_0(c_0(c_2(c_3(c_3(c_0(c_0(c_2(z0)))))))))))))))))) -> c84(3'(0(0(3(0(3(0(1(2(0(3(1(3(0(3(2(2(2(z0)))))))))))))))))), 0'(0(3(0(3(0(1(2(0(3(1(3(0(3(2(2(2(z0))))))))))))))))), 0'(3(0(3(0(1(2(0(3(1(3(0(3(2(2(2(z0)))))))))))))))), 3'(0(3(0(1(2(0(3(1(3(0(3(2(2(2(z0))))))))))))))), 0'(3(0(1(2(0(3(1(3(0(3(2(2(2(z0)))))))))))))), 3'(0(1(2(0(3(1(3(0(3(2(2(2(z0))))))))))))), 0'(1(2(0(3(1(3(0(3(2(2(2(z0)))))))))))), 1'(2(0(3(1(3(0(3(2(2(2(z0))))))))))), 2'(0(3(1(3(0(3(2(2(2(z0)))))))))), 0'(3(1(3(0(3(2(2(2(z0))))))))), 3'(1(3(0(3(2(2(2(z0)))))))), 1'(3(0(3(2(2(2(z0))))))), 3'(0(3(2(2(2(z0)))))), 0'(3(2(2(2(z0))))), 3'(2(2(2(z0)))), 2'(2(2(z0))), 2'(2(z0)), 2'(z0))
   3'(c_3(c_0(c_2(c_0(c_2(c_0(c_1(c_2(c_0(c_2(c_3(c_0(c_2(c_2(c_0(c_3(c_3(z0)))))))))))))))))) -> c85(3'(2(0(3(2(0(0(0(3(0(3(2(2(2(1(2(0(3(z0)))))))))))))))))), 2'(0(3(2(0(0(0(3(0(3(2(2(2(1(2(0(3(z0))))))))))))))))), 0'(3(2(0(0(0(3(0(3(2(2(2(1(2(0(3(z0)))))))))))))))), 3'(2(0(0(0(3(0(3(2(2(2(1(2(0(3(z0))))))))))))))), 2'(0(0(0(3(0(3(2(2(2(1(2(0(3(z0)))))))))))))), 0'(0(0(3(0(3(2(2(2(1(2(0(3(z0))))))))))))), 0'(0(3(0(3(2(2(2(1(2(0(3(z0)))))))))))), 0'(3(0(3(2(2(2(1(2(0(3(z0))))))))))), 3'(0(3(2(2(2(1(2(0(3(z0)))))))))), 0'(3(2(2(2(1(2(0(3(z0))))))))), 3'(2(2(2(1(2(0(3(z0)))))))), 2'(2(2(1(2(0(3(z0))))))), 2'(2(1(2(0(3(z0)))))), 2'(1(2(0(3(z0))))), 1'(2(0(3(z0)))), 2'(0(3(z0))), 0'(3(z0)), 3'(z0))
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K tuples:none
Defined Rule Symbols:   2_1, 3_1, 0_1, 1_1, encArg_1, encode_0_1, encode_1_1, encode_3_1, encode_2_1

Defined Pair Symbols:   ENCARG_1, ENCODE_0_1, ENCODE_1_1, ENCODE_3_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, c30_18, c31_18, c32_18, c33_18, c34_18, c35_18, c36_18, c37_18, c38_18, c39_18, c40_18, c41_18, c42_18, c43, c44_18, c45_18, c46_18, c47_18, c48_18, c49_18, c50_18, c51_18, c52_18, c53_18, c54_18, c55_18, c56_18, c57_18, c58_18, c59_18, c60_18, c61_18, c62_18, c63_18, c64_18, c65_18, c66, c67_18, c68_18, c69_18, c70_18, c71_18, c72_18, c73_18, c74_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


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

(39) CdtLeafRemovalProof (BOTH BOUNDS(ID, ID))
Removed 4 trailing nodes:
   0'(z0) -> c8
   3'(z0) -> c66
   2'(z0) -> c43
   1'(z0) -> c29

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

(40)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(cons_0(z0)) -> 0(encArg(z0))
   encArg(cons_1(z0)) -> 1(encArg(z0))
   encArg(cons_2(z0)) -> 2(encArg(z0))
   encArg(cons_3(z0)) -> 3(encArg(z0))
   encode_0(z0) -> 0(encArg(z0))
   encode_1(z0) -> 1(encArg(z0))
   encode_3(z0) -> 3(encArg(z0))
   encode_2(z0) -> 2(encArg(z0))
   0(z0) -> c_0(z0)
   0(c_0(c_2(c_0(c_3(c_3(c_2(c_3(c_1(c_3(c_1(c_0(c_2(c_1(c_3(c_0(c_2(c_0(z0)))))))))))))))))) -> 0(0(1(1(3(0(3(3(1(2(0(2(3(0(2(2(0(3(z0))))))))))))))))))
   0(c_0(c_2(c_0(c_3(c_0(c_2(c_2(c_3(c_0(c_2(c_0(c_0(c_2(c_3(c_0(c_0(c_2(z0)))))))))))))))))) -> 0(0(3(2(2(0(2(0(0(0(2(2(0(3(0(0(3(2(z0))))))))))))))))))
   0(c_0(c_0(c_1(c_3(c_3(c_2(c_2(c_3(c_0(c_0(c_1(c_3(c_2(c_2(c_3(c_3(c_2(z0)))))))))))))))))) -> 3(0(2(3(0(3(0(3(0(0(1(2(3(3(1(2(2(2(z0))))))))))))))))))
   0(c_0(c_0(c_2(c_2(c_3(c_0(c_0(c_1(c_0(c_0(c_0(c_1(c_0(c_3(c_1(c_2(c_2(z0)))))))))))))))))) -> 0(0(0(3(2(0(1(3(0(2(1(0(0(1(2(0(0(2(z0))))))))))))))))))
   0(c_1(c_0(c_2(c_2(c_1(c_2(c_1(c_3(c_1(c_1(c_2(c_0(c_1(c_2(c_0(c_1(c_0(z0)))))))))))))))))) -> 2(0(0(3(1(2(2(1(2(0(1(0(1(2(1(1(1(0(z0))))))))))))))))))
   0(c_2(c_1(c_0(c_2(c_0(c_3(c_0(c_1(c_0(c_2(c_0(c_2(c_0(c_1(c_2(c_0(c_3(z0)))))))))))))))))) -> 0(2(1(2(0(2(1(2(0(3(0(0(3(2(1(0(0(0(z0))))))))))))))))))
   0(c_1(c_2(c_3(c_3(c_3(c_1(c_3(c_3(c_3(c_2(c_3(c_1(c_2(c_0(c_1(c_3(c_1(z0)))))))))))))))))) -> 2(3(0(3(3(3(1(1(3(0(3(1(3(2(3(1(2(1(z0))))))))))))))))))
   0(c_1(c_1(c_1(c_3(c_0(c_1(c_3(c_1(c_2(c_0(c_2(c_1(c_2(c_2(c_0(c_3(c_0(z0)))))))))))))))))) -> 3(0(3(2(2(1(1(1(2(0(1(1(2(1(3(0(0(0(z0))))))))))))))))))
   0(c_1(c_3(c_2(c_3(c_1(c_1(c_3(c_2(c_2(c_0(c_0(c_1(c_3(c_2(c_3(c_3(c_3(z0)))))))))))))))))) -> 2(3(0(3(3(3(1(0(0(1(2(1(3(2(3(2(1(3(z0))))))))))))))))))
   0(c_1(c_0(c_0(c_2(c_2(c_2(c_3(c_2(c_1(c_3(c_2(c_3(c_3(c_1(c_0(c_1(c_0(z0)))))))))))))))))) -> 0(1(2(3(0(3(3(0(2(0(1(0(2(1(3(2(1(2(z0))))))))))))))))))
   0(c_3(c_2(c_3(c_1(c_0(c_0(c_1(c_0(c_0(c_1(c_2(c_3(c_2(c_1(c_1(c_0(c_1(z0)))))))))))))))))) -> 3(0(0(3(1(1(0(0(2(1(2(2(0(1(1(0(3(1(z0))))))))))))))))))
   0(c_2(c_0(c_1(c_0(c_0(c_0(c_1(c_0(c_3(c_0(c_2(c_3(c_3(c_3(c_3(c_0(c_3(z0)))))))))))))))))) -> 0(3(0(0(0(3(3(2(0(1(1(0(2(3(0(0(3(3(z0))))))))))))))))))
   0(c_2(c_0(c_1(c_3(c_1(c_0(c_0(c_3(c_2(c_0(c_2(c_2(c_3(c_0(c_1(c_0(c_0(z0)))))))))))))))))) -> 1(0(0(3(2(1(2(2(2(0(0(3(1(0(0(0(3(0(z0))))))))))))))))))
   0(c_1(c_2(c_2(c_3(c_1(c_3(c_3(c_1(c_3(c_2(c_2(c_3(c_3(c_0(c_2(c_0(c_2(z0)))))))))))))))))) -> 0(1(2(3(0(3(3(3(3(2(2(1(2(0(2(3(1(2(z0))))))))))))))))))
   0(c_3(c_1(c_1(c_2(c_2(c_0(c_0(c_0(c_1(c_3(c_2(c_3(c_3(c_3(c_3(c_3(c_3(z0)))))))))))))))))) -> 3(0(3(2(3(3(0(0(3(2(1(1(0(3(1(2(3(3(z0))))))))))))))))))
   0(c_3(c_1(c_2(c_1(c_0(c_2(c_1(c_3(c_0(c_3(c_2(c_3(c_2(c_3(c_0(c_1(c_2(z0)))))))))))))))))) -> 3(0(2(3(0(3(1(2(1(2(3(0(3(1(0(2(1(2(z0))))))))))))))))))
   0(c_1(c_2(c_3(c_0(c_2(c_1(c_1(c_3(c_3(c_3(c_2(c_3(c_1(c_3(c_1(c_3(c_1(z0)))))))))))))))))) -> 2(1(3(2(3(1(1(3(3(0(3(3(0(3(2(1(1(1(z0))))))))))))))))))
   0(c_0(c_2(c_0(c_1(c_1(c_3(c_0(c_2(c_3(c_2(c_2(c_0(c_2(c_3(c_3(c_1(c_2(z0)))))))))))))))))) -> 0(0(3(2(1(0(0(3(1(3(0(3(2(2(1(2(2(2(z0))))))))))))))))))
   0(c_3(c_3(c_2(c_3(c_1(c_3(c_2(c_0(c_0(c_2(c_1(c_3(c_1(c_3(c_2(c_3(c_3(z0)))))))))))))))))) -> 3(2(2(3(2(0(1(2(1(3(1(3(0(3(0(3(3(3(z0))))))))))))))))))
   0(c_0(c_1(c_3(c_1(c_0(c_0(c_1(c_3(c_3(c_0(c_0(c_1(c_2(c_2(c_1(c_1(c_1(z0)))))))))))))))))) -> 3(3(0(2(0(0(0(0(1(0(2(1(3(1(1(1(1(1(z0))))))))))))))))))
   1(z0) -> c_1(z0)
   1(c_2(c_3(c_0(c_1(c_0(c_3(c_1(c_2(c_3(c_1(c_1(c_1(c_1(c_3(c_2(c_3(c_0(z0)))))))))))))))))) -> 1(1(2(1(1(3(0(3(3(2(1(2(0(3(1(1(3(0(z0))))))))))))))))))
   1(c_3(c_1(c_3(c_1(c_1(c_1(c_2(c_1(c_3(c_0(c_1(c_2(c_1(c_3(c_1(c_1(c_0(z0)))))))))))))))))) -> 1(0(1(1(1(3(3(2(3(0(1(2(1(1(1(1(1(3(z0))))))))))))))))))
   1(c_1(c_0(c_3(c_1(c_2(c_0(c_0(c_1(c_3(c_2(c_1(c_2(c_0(c_3(c_0(c_2(c_2(z0)))))))))))))))))) -> 1(1(2(2(3(2(1(0(0(3(2(3(0(0(0(1(1(2(z0))))))))))))))))))
   1(c_2(c_2(c_0(c_3(c_1(c_3(c_0(c_0(c_1(c_3(c_3(c_0(c_3(c_2(c_3(c_1(c_2(z0)))))))))))))))))) -> 1(0(2(3(3(3(3(0(2(0(3(1(0(3(1(2(1(2(z0))))))))))))))))))
   1(c_1(c_0(c_0(c_0(c_2(c_0(c_1(c_0(c_1(c_1(c_0(c_3(c_2(c_1(c_0(c_0(c_2(z0)))))))))))))))))) -> 1(1(2(1(1(0(0(2(3(0(0(0(0(1(1(0(0(2(z0))))))))))))))))))
   1(c_3(c_1(c_3(c_2(c_0(c_0(c_0(c_1(c_3(c_1(c_0(c_2(c_2(c_2(c_1(c_0(c_2(z0)))))))))))))))))) -> 1(0(1(1(2(2(0(3(3(0(1(0(1(2(2(3(0(2(z0))))))))))))))))))
   1(c_0(c_0(c_0(c_3(c_0(c_2(c_1(c_3(c_3(c_1(c_2(c_2(c_3(c_1(c_3(c_2(c_1(z0)))))))))))))))))) -> 1(2(1(3(3(0(3(0(3(1(0(2(2(3(1(0(2(1(z0))))))))))))))))))
   1(c_3(c_3(c_1(c_3(c_1(c_3(c_0(c_1(c_0(c_2(c_3(c_1(c_1(c_1(c_3(c_0(c_3(z0)))))))))))))))))) -> 1(1(1(2(1(3(0(0(3(3(3(0(1(1(3(3(1(3(z0))))))))))))))))))
   1(c_2(c_2(c_2(c_2(c_0(c_3(c_3(c_2(c_1(c_3(c_0(c_2(c_1(c_3(c_2(c_0(c_3(z0)))))))))))))))))) -> 1(2(2(1(2(1(2(0(2(3(2(2(0(0(3(3(3(3(z0))))))))))))))))))
   1(c_3(c_0(c_2(c_0(c_3(c_2(c_2(c_1(c_3(c_2(c_3(c_2(c_2(c_2(c_1(c_3(c_2(z0)))))))))))))))))) -> 1(3(2(1(2(2(3(3(3(2(1(3(2(0(0(2(2(2(z0))))))))))))))))))
   1(c_3(c_2(c_2(c_0(c_3(c_1(c_1(c_3(c_1(c_3(c_0(c_2(c_1(c_2(c_2(c_0(c_3(z0)))))))))))))))))) -> 1(1(2(1(0(1(2(3(3(0(3(0(3(2(2(1(2(3(z0))))))))))))))))))
   1(c_0(c_2(c_1(c_2(c_3(c_3(c_0(c_1(c_0(c_2(c_3(c_0(c_1(c_1(c_3(c_3(c_1(z0)))))))))))))))))) -> 1(2(1(1(1(3(0(3(0(3(1(0(3(2(2(0(3(1(z0))))))))))))))))))
   1(c_0(c_2(c_0(c_0(c_0(c_1(c_2(c_3(c_0(c_1(c_2(c_2(c_2(c_1(c_2(c_2(c_0(z0)))))))))))))))))) -> 1(2(2(0(0(1(1(0(0(2(2(2(2(1(2(0(0(3(z0))))))))))))))))))
   2(z0) -> c_2(z0)
   2(c_2(c_2(c_3(c_0(c_1(c_3(c_2(c_1(c_3(c_3(c_2(c_1(c_2(c_2(c_1(c_2(c_3(z0)))))))))))))))))) -> 2(2(2(1(1(2(3(2(3(2(2(0(3(1(2(1(3(3(z0))))))))))))))))))
   2(c_2(c_1(c_3(c_1(c_3(c_0(c_0(c_2(c_1(c_2(c_2(c_2(c_1(c_1(c_1(c_0(c_1(z0)))))))))))))))))) -> 0(2(2(3(3(1(1(2(0(2(1(1(2(1(0(1(2(1(z0))))))))))))))))))
   2(c_0(c_0(c_1(c_3(c_1(c_3(c_2(c_1(c_0(c_0(c_2(c_2(c_2(c_0(c_2(c_0(c_3(z0)))))))))))))))))) -> 0(2(2(2(0(2(1(0(0(3(0(0(1(2(2(1(3(3(z0))))))))))))))))))
   2(c_3(c_2(c_3(c_1(c_2(c_0(c_1(c_3(c_0(c_1(c_3(c_2(c_1(c_0(c_2(c_3(c_3(z0)))))))))))))))))) -> 0(3(1(0(2(2(1(2(2(1(3(3(3(1(0(2(3(3(z0))))))))))))))))))
   2(c_1(c_2(c_2(c_2(c_2(c_2(c_0(c_1(c_3(c_2(c_0(c_0(c_1(c_2(c_3(c_1(c_2(z0)))))))))))))))))) -> 2(1(2(2(1(0(0(3(3(0(1(2(2(2(2(2(1(2(z0))))))))))))))))))
   2(c_2(c_3(c_2(c_2(c_3(c_1(c_0(c_2(c_3(c_1(c_1(c_1(c_0(c_0(c_1(c_0(c_2(z0)))))))))))))))))) -> 0(2(1(1(2(2(0(3(3(0(1(1(2(2(1(0(3(2(z0))))))))))))))))))
   2(c_3(c_3(c_2(c_1(c_0(c_3(c_0(c_0(c_0(c_3(c_3(c_1(c_3(c_0(c_0(c_0(c_3(z0)))))))))))))))))) -> 2(1(0(3(0(3(0(3(3(3(0(0(0(0(2(1(3(3(z0))))))))))))))))))
   2(c_1(c_0(c_3(c_1(c_3(c_1(c_2(c_2(c_2(c_2(c_1(c_2(c_3(c_1(c_3(c_0(c_2(z0)))))))))))))))))) -> 2(3(3(2(1(2(0(3(1(2(2(1(0(3(2(2(1(1(z0))))))))))))))))))
   2(c_2(c_3(c_1(c_1(c_1(c_3(c_1(c_2(c_0(c_1(c_2(c_2(c_0(c_1(c_2(c_2(c_2(z0)))))))))))))))))) -> 2(2(1(2(1(3(1(1(2(3(2(2(0(1(2(0(1(2(z0))))))))))))))))))
   2(c_2(c_2(c_2(c_3(c_2(c_0(c_1(c_3(c_1(c_2(c_2(c_2(c_1(c_3(c_2(c_3(c_3(z0)))))))))))))))))) -> 2(3(1(2(2(1(2(2(1(0(2(2(2(2(3(3(3(3(z0))))))))))))))))))
   2(c_0(c_2(c_2(c_3(c_1(c_0(c_3(c_2(c_3(c_0(c_3(c_2(c_0(c_0(c_2(c_0(c_2(z0)))))))))))))))))) -> 2(0(0(2(3(0(3(3(0(3(2(0(1(2(2(2(0(2(z0))))))))))))))))))
   2(c_1(c_3(c_0(c_0(c_2(c_2(c_1(c_1(c_3(c_1(c_3(c_1(c_0(c_0(c_2(c_1(c_2(z0)))))))))))))))))) -> 0(1(2(1(0(1(2(1(0(0(1(1(2(3(3(3(2(2(z0))))))))))))))))))
   2(c_0(c_3(c_0(c_0(c_1(c_3(c_1(c_2(c_0(c_2(c_1(c_3(c_0(c_2(c_2(c_0(c_0(z0)))))))))))))))))) -> 0(0(3(0(3(2(1(2(1(2(2(1(2(0(0(0(3(0(z0))))))))))))))))))
   2(c_0(c_2(c_0(c_3(c_0(c_0(c_2(c_2(c_1(c_1(c_0(c_3(c_1(c_0(c_3(c_1(c_1(z0)))))))))))))))))) -> 2(0(0(3(3(2(2(1(0(1(0(1(0(3(2(1(0(1(z0))))))))))))))))))
   2(c_2(c_0(c_0(c_3(c_0(c_1(c_3(c_1(c_0(c_2(c_2(c_2(c_3(c_0(c_1(c_2(c_0(z0)))))))))))))))))) -> 0(2(0(3(2(3(2(1(0(2(0(2(1(0(1(0(2(3(z0))))))))))))))))))
   2(c_0(c_0(c_0(c_1(c_1(c_3(c_1(c_1(c_1(c_2(c_2(c_2(c_2(c_2(c_0(c_1(c_3(z0)))))))))))))))))) -> 2(0(1(2(0(0(3(2(2(1(1(1(1(2(2(1(3(0(z0))))))))))))))))))
   2(c_0(c_3(c_1(c_0(c_3(c_2(c_1(c_0(c_2(c_3(c_1(c_0(c_2(c_2(c_1(c_1(c_1(z0)))))))))))))))))) -> 2(1(2(2(2(0(1(1(0(0(3(3(1(3(0(2(1(1(z0))))))))))))))))))
   2(c_1(c_2(c_1(c_3(c_0(c_2(c_2(c_3(c_2(c_3(c_1(c_1(c_1(c_3(c_3(c_0(c_2(z0)))))))))))))))))) -> 2(1(2(1(3(2(1(2(3(2(3(3(0(0(3(1(2(1(z0))))))))))))))))))
   2(c_2(c_1(c_3(c_3(c_0(c_0(c_2(c_1(c_3(c_0(c_1(c_2(c_2(c_2(c_2(c_3(c_3(z0)))))))))))))))))) -> 2(0(2(2(0(2(1(0(3(2(2(1(1(3(2(3(3(3(z0))))))))))))))))))
   2(c_1(c_2(c_3(c_1(c_3(c_2(c_0(c_2(c_2(c_3(c_3(c_3(c_2(c_3(c_1(c_3(c_3(z0)))))))))))))))))) -> 2(3(3(2(2(1(3(2(3(2(1(0(3(3(1(2(3(3(z0))))))))))))))))))
   2(c_0(c_1(c_0(c_1(c_2(c_2(c_2(c_2(c_3(c_3(c_1(c_1(c_1(c_1(c_2(c_1(c_2(z0)))))))))))))))))) -> 0(2(2(1(1(1(2(1(0(3(3(2(2(1(1(2(1(2(z0))))))))))))))))))
   2(c_3(c_0(c_1(c_3(c_1(c_3(c_3(c_0(c_3(c_0(c_2(c_0(c_3(c_1(c_3(c_2(c_3(z0)))))))))))))))))) -> 0(2(0(3(3(3(2(1(3(0(3(3(3(3(1(1(2(0(z0))))))))))))))))))
   3(z0) -> c_3(z0)
   3(c_0(c_0(c_3(c_1(c_3(c_0(c_2(c_0(c_2(c_0(c_0(c_1(c_0(c_3(c_2(c_3(c_2(z0)))))))))))))))))) -> 0(0(3(2(3(3(0(0(0(3(2(0(1(2(3(1(0(2(z0))))))))))))))))))
   3(c_3(c_0(c_2(c_3(c_0(c_1(c_3(c_3(c_3(c_1(c_2(c_1(c_3(c_2(c_2(c_0(c_3(z0)))))))))))))))))) -> 2(3(1(1(0(1(2(0(3(3(3(2(3(2(3(3(0(3(z0))))))))))))))))))
   3(c_3(c_3(c_2(c_3(c_0(c_2(c_2(c_3(c_1(c_2(c_3(c_0(c_3(c_3(c_2(c_2(c_2(z0)))))))))))))))))) -> 3(0(3(2(2(2(0(3(3(3(2(2(3(2(1(3(3(2(z0))))))))))))))))))
   3(c_1(c_1(c_1(c_3(c_1(c_3(c_3(c_3(c_2(c_3(c_0(c_0(c_2(c_3(c_1(c_3(c_1(z0)))))))))))))))))) -> 3(3(1(2(2(3(0(1(0(3(3(3(1(1(1(3(3(1(z0))))))))))))))))))
   3(c_3(c_2(c_0(c_0(c_1(c_0(c_2(c_3(c_3(c_0(c_3(c_1(c_3(c_3(c_1(c_3(c_3(z0)))))))))))))))))) -> 0(0(3(3(1(1(0(2(2(3(1(3(3(0(3(3(3(3(z0))))))))))))))))))
   3(c_1(c_3(c_2(c_1(c_3(c_1(c_0(c_3(c_2(c_0(c_2(c_0(c_3(c_0(c_2(c_3(c_3(z0)))))))))))))))))) -> 2(2(0(1(2(1(0(3(3(3(0(3(2(1(3(3(3(0(z0))))))))))))))))))
   3(c_1(c_3(c_1(c_1(c_1(c_1(c_3(c_2(c_0(c_0(c_2(c_2(c_2(c_1(c_3(c_3(c_1(z0)))))))))))))))))) -> 3(1(0(3(1(1(0(2(2(2(3(1(2(1(1(3(3(1(z0))))))))))))))))))
   3(c_0(c_0(c_2(c_2(c_2(c_1(c_3(c_1(c_3(c_3(c_3(c_2(c_0(c_2(c_3(c_3(c_3(z0)))))))))))))))))) -> 2(1(2(1(2(3(3(0(2(3(0(3(3(3(2(0(3(3(z0))))))))))))))))))
   3(c_3(c_3(c_1(c_3(c_1(c_3(c_0(c_3(c_3(c_2(c_0(c_1(c_3(c_0(c_1(c_2(c_3(z0)))))))))))))))))) -> 3(3(3(1(1(3(1(3(3(3(2(3(0(3(1(2(0(0(z0))))))))))))))))))
   3(c_0(c_0(c_0(c_2(c_0(c_3(c_2(c_0(c_2(c_2(c_2(c_0(c_0(c_1(c_3(c_0(c_2(z0)))))))))))))))))) -> 0(0(2(1(2(3(0(3(2(0(2(0(0(3(0(2(0(2(z0))))))))))))))))))
   3(c_2(c_3(c_0(c_2(c_2(c_2(c_2(c_0(c_0(c_0(c_1(c_1(c_1(c_3(c_0(c_2(c_3(z0)))))))))))))))))) -> 3(0(2(3(2(0(3(1(2(0(2(1(0(3(2(1(2(0(z0))))))))))))))))))
   3(c_2(c_0(c_0(c_0(c_2(c_3(c_3(c_1(c_1(c_0(c_1(c_3(c_2(c_3(c_3(c_0(c_0(z0)))))))))))))))))) -> 3(0(2(1(2(3(3(0(3(1(0(1(2(3(3(0(0(0(z0))))))))))))))))))
   3(c_0(c_3(c_2(c_2(c_0(c_2(c_0(c_0(c_0(c_1(c_3(c_2(c_3(c_3(c_0(c_3(c_0(z0)))))))))))))))))) -> 3(0(2(0(1(2(2(0(3(0(2(0(3(0(3(3(3(0(z0))))))))))))))))))
   3(c_0(c_2(c_2(c_0(c_1(c_2(c_0(c_0(c_2(c_0(c_2(c_2(c_2(c_3(c_1(c_0(c_2(z0)))))))))))))))))) -> 0(2(1(2(2(3(0(0(3(2(2(1(2(0(2(0(0(2(z0))))))))))))))))))
   3(c_3(c_2(c_1(c_3(c_2(c_0(c_2(c_0(c_0(c_3(c_1(c_3(c_0(c_2(c_0(c_2(c_2(z0)))))))))))))))))) -> 2(0(1(3(2(2(2(1(2(3(3(0(3(0(0(0(3(2(z0))))))))))))))))))
   3(c_0(c_2(c_2(c_3(c_2(c_2(c_3(c_2(c_2(c_3(c_3(c_2(c_0(c_1(c_3(c_2(c_3(z0)))))))))))))))))) -> 0(3(3(2(1(3(3(2(2(3(2(2(2(0(3(2(2(3(z0))))))))))))))))))
   3(c_0(c_1(c_2(c_1(c_0(c_2(c_1(c_1(c_3(c_0(c_1(c_2(c_3(c_1(c_1(c_1(c_1(z0)))))))))))))))))) -> 3(3(1(1(1(0(1(2(1(1(1(2(2(3(0(1(0(1(z0))))))))))))))))))
   3(c_3(c_2(c_1(c_3(c_0(c_0(c_1(c_3(c_2(c_0(c_0(c_2(c_3(c_3(c_0(c_0(c_2(z0)))))))))))))))))) -> 3(0(0(3(0(3(0(1(2(0(3(1(3(0(3(2(2(2(z0))))))))))))))))))
   3(c_3(c_0(c_2(c_0(c_2(c_0(c_1(c_2(c_0(c_2(c_3(c_0(c_2(c_2(c_0(c_3(c_3(z0)))))))))))))))))) -> 3(2(0(3(2(0(0(0(3(0(3(2(2(2(1(2(0(3(z0))))))))))))))))))
   3(c_2(c_2(c_1(c_2(c_2(c_3(c_1(c_1(c_2(c_0(c_1(c_3(c_1(c_2(c_2(c_1(c_1(z0)))))))))))))))))) -> 3(1(1(1(2(2(1(3(2(3(2(2(1(1(2(0(2(1(z0))))))))))))))))))
   3(c_2(c_2(c_2(c_3(c_2(c_3(c_0(c_1(c_3(c_2(c_1(c_3(c_2(c_3(c_0(c_2(c_1(z0)))))))))))))))))) -> 0(0(3(3(2(1(2(1(3(3(3(3(2(2(2(2(2(1(z0))))))))))))))))))
   3(c_1(c_3(c_2(c_1(c_1(c_3(c_1(c_2(c_2(c_1(c_3(c_2(c_3(c_1(c_0(c_3(c_1(z0)))))))))))))))))) -> 3(1(3(3(1(2(0(1(1(2(2(1(3(3(2(3(1(1(z0))))))))))))))))))
   3(c_2(c_1(c_3(c_1(c_2(c_2(c_2(c_3(c_3(c_0(c_2(c_1(c_3(c_0(c_2(c_0(c_2(z0)))))))))))))))))) -> 3(3(3(2(3(2(2(0(2(2(1(0(3(2(1(2(1(0(z0))))))))))))))))))
   3(c_1(c_0(c_0(c_3(c_0(c_0(c_0(c_0(c_1(c_2(c_0(c_2(c_0(c_2(c_0(c_0(c_1(z0)))))))))))))))))) -> 3(0(0(0(0(0(2(0(0(0(0(3(0(2(1(1(2(1(z0))))))))))))))))))
   3(c_3(c_0(c_3(c_1(c_0(c_0(c_2(c_2(c_2(c_0(c_0(c_0(c_2(c_2(c_1(c_3(c_2(z0)))))))))))))))))) -> 0(3(2(0(3(3(1(2(1(2(2(0(3(0(0(0(2(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_1(z0) -> c5(1'(encArg(z0)), ENCARG(z0))
   ENCODE_3(z0) -> c6(3'(encArg(z0)), ENCARG(z0))
   ENCODE_2(z0) -> c7(2'(encArg(z0)), ENCARG(z0))
   0'(c_0(c_2(c_0(c_3(c_3(c_2(c_3(c_1(c_3(c_1(c_0(c_2(c_1(c_3(c_0(c_2(c_0(z0)))))))))))))))))) -> c9(0'(0(1(1(3(0(3(3(1(2(0(2(3(0(2(2(0(3(z0)))))))))))))))))), 0'(1(1(3(0(3(3(1(2(0(2(3(0(2(2(0(3(z0))))))))))))))))), 1'(1(3(0(3(3(1(2(0(2(3(0(2(2(0(3(z0)))))))))))))))), 1'(3(0(3(3(1(2(0(2(3(0(2(2(0(3(z0))))))))))))))), 3'(0(3(3(1(2(0(2(3(0(2(2(0(3(z0)))))))))))))), 0'(3(3(1(2(0(2(3(0(2(2(0(3(z0))))))))))))), 3'(3(1(2(0(2(3(0(2(2(0(3(z0)))))))))))), 3'(1(2(0(2(3(0(2(2(0(3(z0))))))))))), 1'(2(0(2(3(0(2(2(0(3(z0)))))))))), 2'(0(2(3(0(2(2(0(3(z0))))))))), 0'(2(3(0(2(2(0(3(z0)))))))), 2'(3(0(2(2(0(3(z0))))))), 3'(0(2(2(0(3(z0)))))), 0'(2(2(0(3(z0))))), 2'(2(0(3(z0)))), 2'(0(3(z0))), 0'(3(z0)), 3'(z0))
   0'(c_0(c_2(c_0(c_3(c_0(c_2(c_2(c_3(c_0(c_2(c_0(c_0(c_2(c_3(c_0(c_0(c_2(z0)))))))))))))))))) -> c10(0'(0(3(2(2(0(2(0(0(0(2(2(0(3(0(0(3(2(z0)))))))))))))))))), 0'(3(2(2(0(2(0(0(0(2(2(0(3(0(0(3(2(z0))))))))))))))))), 3'(2(2(0(2(0(0(0(2(2(0(3(0(0(3(2(z0)))))))))))))))), 2'(2(0(2(0(0(0(2(2(0(3(0(0(3(2(z0))))))))))))))), 2'(0(2(0(0(0(2(2(0(3(0(0(3(2(z0)))))))))))))), 0'(2(0(0(0(2(2(0(3(0(0(3(2(z0))))))))))))), 2'(0(0(0(2(2(0(3(0(0(3(2(z0)))))))))))), 0'(0(0(2(2(0(3(0(0(3(2(z0))))))))))), 0'(0(2(2(0(3(0(0(3(2(z0)))))))))), 0'(2(2(0(3(0(0(3(2(z0))))))))), 2'(2(0(3(0(0(3(2(z0)))))))), 2'(0(3(0(0(3(2(z0))))))), 0'(3(0(0(3(2(z0)))))), 3'(0(0(3(2(z0))))), 0'(0(3(2(z0)))), 0'(3(2(z0))), 3'(2(z0)), 2'(z0))
   0'(c_0(c_0(c_1(c_3(c_3(c_2(c_2(c_3(c_0(c_0(c_1(c_3(c_2(c_2(c_3(c_3(c_2(z0)))))))))))))))))) -> c11(3'(0(2(3(0(3(0(3(0(0(1(2(3(3(1(2(2(2(z0)))))))))))))))))), 0'(2(3(0(3(0(3(0(0(1(2(3(3(1(2(2(2(z0))))))))))))))))), 2'(3(0(3(0(3(0(0(1(2(3(3(1(2(2(2(z0)))))))))))))))), 3'(0(3(0(3(0(0(1(2(3(3(1(2(2(2(z0))))))))))))))), 0'(3(0(3(0(0(1(2(3(3(1(2(2(2(z0)))))))))))))), 3'(0(3(0(0(1(2(3(3(1(2(2(2(z0))))))))))))), 0'(3(0(0(1(2(3(3(1(2(2(2(z0)))))))))))), 3'(0(0(1(2(3(3(1(2(2(2(z0))))))))))), 0'(0(1(2(3(3(1(2(2(2(z0)))))))))), 0'(1(2(3(3(1(2(2(2(z0))))))))), 1'(2(3(3(1(2(2(2(z0)))))))), 2'(3(3(1(2(2(2(z0))))))), 3'(3(1(2(2(2(z0)))))), 3'(1(2(2(2(z0))))), 1'(2(2(2(z0)))), 2'(2(2(z0))), 2'(2(z0)), 2'(z0))
   0'(c_0(c_0(c_2(c_2(c_3(c_0(c_0(c_1(c_0(c_0(c_0(c_1(c_0(c_3(c_1(c_2(c_2(z0)))))))))))))))))) -> c12(0'(0(0(3(2(0(1(3(0(2(1(0(0(1(2(0(0(2(z0)))))))))))))))))), 0'(0(3(2(0(1(3(0(2(1(0(0(1(2(0(0(2(z0))))))))))))))))), 0'(3(2(0(1(3(0(2(1(0(0(1(2(0(0(2(z0)))))))))))))))), 3'(2(0(1(3(0(2(1(0(0(1(2(0(0(2(z0))))))))))))))), 2'(0(1(3(0(2(1(0(0(1(2(0(0(2(z0)))))))))))))), 0'(1(3(0(2(1(0(0(1(2(0(0(2(z0))))))))))))), 1'(3(0(2(1(0(0(1(2(0(0(2(z0)))))))))))), 3'(0(2(1(0(0(1(2(0(0(2(z0))))))))))), 0'(2(1(0(0(1(2(0(0(2(z0)))))))))), 2'(1(0(0(1(2(0(0(2(z0))))))))), 1'(0(0(1(2(0(0(2(z0)))))))), 0'(0(1(2(0(0(2(z0))))))), 0'(1(2(0(0(2(z0)))))), 1'(2(0(0(2(z0))))), 2'(0(0(2(z0)))), 0'(0(2(z0))), 0'(2(z0)), 2'(z0))
   0'(c_1(c_0(c_2(c_2(c_1(c_2(c_1(c_3(c_1(c_1(c_2(c_0(c_1(c_2(c_0(c_1(c_0(z0)))))))))))))))))) -> c13(2'(0(0(3(1(2(2(1(2(0(1(0(1(2(1(1(1(0(z0)))))))))))))))))), 0'(0(3(1(2(2(1(2(0(1(0(1(2(1(1(1(0(z0))))))))))))))))), 0'(3(1(2(2(1(2(0(1(0(1(2(1(1(1(0(z0)))))))))))))))), 3'(1(2(2(1(2(0(1(0(1(2(1(1(1(0(z0))))))))))))))), 1'(2(2(1(2(0(1(0(1(2(1(1(1(0(z0)))))))))))))), 2'(2(1(2(0(1(0(1(2(1(1(1(0(z0))))))))))))), 2'(1(2(0(1(0(1(2(1(1(1(0(z0)))))))))))), 1'(2(0(1(0(1(2(1(1(1(0(z0))))))))))), 2'(0(1(0(1(2(1(1(1(0(z0)))))))))), 0'(1(0(1(2(1(1(1(0(z0))))))))), 1'(0(1(2(1(1(1(0(z0)))))))), 0'(1(2(1(1(1(0(z0))))))), 1'(2(1(1(1(0(z0)))))), 2'(1(1(1(0(z0))))), 1'(1(1(0(z0)))), 1'(1(0(z0))), 1'(0(z0)), 0'(z0))
   0'(c_2(c_1(c_0(c_2(c_0(c_3(c_0(c_1(c_0(c_2(c_0(c_2(c_0(c_1(c_2(c_0(c_3(z0)))))))))))))))))) -> c14(0'(2(1(2(0(2(1(2(0(3(0(0(3(2(1(0(0(0(z0)))))))))))))))))), 2'(1(2(0(2(1(2(0(3(0(0(3(2(1(0(0(0(z0))))))))))))))))), 1'(2(0(2(1(2(0(3(0(0(3(2(1(0(0(0(z0)))))))))))))))), 2'(0(2(1(2(0(3(0(0(3(2(1(0(0(0(z0))))))))))))))), 0'(2(1(2(0(3(0(0(3(2(1(0(0(0(z0)))))))))))))), 2'(1(2(0(3(0(0(3(2(1(0(0(0(z0))))))))))))), 1'(2(0(3(0(0(3(2(1(0(0(0(z0)))))))))))), 2'(0(3(0(0(3(2(1(0(0(0(z0))))))))))), 0'(3(0(0(3(2(1(0(0(0(z0)))))))))), 3'(0(0(3(2(1(0(0(0(z0))))))))), 0'(0(3(2(1(0(0(0(z0)))))))), 0'(3(2(1(0(0(0(z0))))))), 3'(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))
   0'(c_1(c_2(c_3(c_3(c_3(c_1(c_3(c_3(c_3(c_2(c_3(c_1(c_2(c_0(c_1(c_3(c_1(z0)))))))))))))))))) -> c15(2'(3(0(3(3(3(1(1(3(0(3(1(3(2(3(1(2(1(z0)))))))))))))))))), 3'(0(3(3(3(1(1(3(0(3(1(3(2(3(1(2(1(z0))))))))))))))))), 0'(3(3(3(1(1(3(0(3(1(3(2(3(1(2(1(z0)))))))))))))))), 3'(3(3(1(1(3(0(3(1(3(2(3(1(2(1(z0))))))))))))))), 3'(3(1(1(3(0(3(1(3(2(3(1(2(1(z0)))))))))))))), 3'(1(1(3(0(3(1(3(2(3(1(2(1(z0))))))))))))), 1'(1(3(0(3(1(3(2(3(1(2(1(z0)))))))))))), 1'(3(0(3(1(3(2(3(1(2(1(z0))))))))))), 3'(0(3(1(3(2(3(1(2(1(z0)))))))))), 0'(3(1(3(2(3(1(2(1(z0))))))))), 3'(1(3(2(3(1(2(1(z0)))))))), 1'(3(2(3(1(2(1(z0))))))), 3'(2(3(1(2(1(z0)))))), 2'(3(1(2(1(z0))))), 3'(1(2(1(z0)))), 1'(2(1(z0))), 2'(1(z0)), 1'(z0))
   0'(c_1(c_1(c_1(c_3(c_0(c_1(c_3(c_1(c_2(c_0(c_2(c_1(c_2(c_2(c_0(c_3(c_0(z0)))))))))))))))))) -> c16(3'(0(3(2(2(1(1(1(2(0(1(1(2(1(3(0(0(0(z0)))))))))))))))))), 0'(3(2(2(1(1(1(2(0(1(1(2(1(3(0(0(0(z0))))))))))))))))), 3'(2(2(1(1(1(2(0(1(1(2(1(3(0(0(0(z0)))))))))))))))), 2'(2(1(1(1(2(0(1(1(2(1(3(0(0(0(z0))))))))))))))), 2'(1(1(1(2(0(1(1(2(1(3(0(0(0(z0)))))))))))))), 1'(1(1(2(0(1(1(2(1(3(0(0(0(z0))))))))))))), 1'(1(2(0(1(1(2(1(3(0(0(0(z0)))))))))))), 1'(2(0(1(1(2(1(3(0(0(0(z0))))))))))), 2'(0(1(1(2(1(3(0(0(0(z0)))))))))), 0'(1(1(2(1(3(0(0(0(z0))))))))), 1'(1(2(1(3(0(0(0(z0)))))))), 1'(2(1(3(0(0(0(z0))))))), 2'(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_1(c_3(c_2(c_3(c_1(c_1(c_3(c_2(c_2(c_0(c_0(c_1(c_3(c_2(c_3(c_3(c_3(z0)))))))))))))))))) -> c17(2'(3(0(3(3(3(1(0(0(1(2(1(3(2(3(2(1(3(z0)))))))))))))))))), 3'(0(3(3(3(1(0(0(1(2(1(3(2(3(2(1(3(z0))))))))))))))))), 0'(3(3(3(1(0(0(1(2(1(3(2(3(2(1(3(z0)))))))))))))))), 3'(3(3(1(0(0(1(2(1(3(2(3(2(1(3(z0))))))))))))))), 3'(3(1(0(0(1(2(1(3(2(3(2(1(3(z0)))))))))))))), 3'(1(0(0(1(2(1(3(2(3(2(1(3(z0))))))))))))), 1'(0(0(1(2(1(3(2(3(2(1(3(z0)))))))))))), 0'(0(1(2(1(3(2(3(2(1(3(z0))))))))))), 0'(1(2(1(3(2(3(2(1(3(z0)))))))))), 1'(2(1(3(2(3(2(1(3(z0))))))))), 2'(1(3(2(3(2(1(3(z0)))))))), 1'(3(2(3(2(1(3(z0))))))), 3'(2(3(2(1(3(z0)))))), 2'(3(2(1(3(z0))))), 3'(2(1(3(z0)))), 2'(1(3(z0))), 1'(3(z0)), 3'(z0))
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   3'(c_2(c_2(c_1(c_2(c_2(c_3(c_1(c_1(c_2(c_0(c_1(c_3(c_1(c_2(c_2(c_1(c_1(z0)))))))))))))))))) -> c86(3'(1(1(1(2(2(1(3(2(3(2(2(1(1(2(0(2(1(z0)))))))))))))))))), 1'(1(1(2(2(1(3(2(3(2(2(1(1(2(0(2(1(z0))))))))))))))))), 1'(1(2(2(1(3(2(3(2(2(1(1(2(0(2(1(z0)))))))))))))))), 1'(2(2(1(3(2(3(2(2(1(1(2(0(2(1(z0))))))))))))))), 2'(2(1(3(2(3(2(2(1(1(2(0(2(1(z0)))))))))))))), 2'(1(3(2(3(2(2(1(1(2(0(2(1(z0))))))))))))), 1'(3(2(3(2(2(1(1(2(0(2(1(z0)))))))))))), 3'(2(3(2(2(1(1(2(0(2(1(z0))))))))))), 2'(3(2(2(1(1(2(0(2(1(z0)))))))))), 3'(2(2(1(1(2(0(2(1(z0))))))))), 2'(2(1(1(2(0(2(1(z0)))))))), 2'(1(1(2(0(2(1(z0))))))), 1'(1(2(0(2(1(z0)))))), 1'(2(0(2(1(z0))))), 2'(0(2(1(z0)))), 0'(2(1(z0))), 2'(1(z0)), 1'(z0))
   3'(c_2(c_2(c_2(c_3(c_2(c_3(c_0(c_1(c_3(c_2(c_1(c_3(c_2(c_3(c_0(c_2(c_1(z0)))))))))))))))))) -> c87(0'(0(3(3(2(1(2(1(3(3(3(3(2(2(2(2(2(1(z0)))))))))))))))))), 0'(3(3(2(1(2(1(3(3(3(3(2(2(2(2(2(1(z0))))))))))))))))), 3'(3(2(1(2(1(3(3(3(3(2(2(2(2(2(1(z0)))))))))))))))), 3'(2(1(2(1(3(3(3(3(2(2(2(2(2(1(z0))))))))))))))), 2'(1(2(1(3(3(3(3(2(2(2(2(2(1(z0)))))))))))))), 1'(2(1(3(3(3(3(2(2(2(2(2(1(z0))))))))))))), 2'(1(3(3(3(3(2(2(2(2(2(1(z0)))))))))))), 1'(3(3(3(3(2(2(2(2(2(1(z0))))))))))), 3'(3(3(3(2(2(2(2(2(1(z0)))))))))), 3'(3(3(2(2(2(2(2(1(z0))))))))), 3'(3(2(2(2(2(2(1(z0)))))))), 3'(2(2(2(2(2(1(z0))))))), 2'(2(2(2(2(1(z0)))))), 2'(2(2(2(1(z0))))), 2'(2(2(1(z0)))), 2'(2(1(z0))), 2'(1(z0)), 1'(z0))
   3'(c_1(c_3(c_2(c_1(c_1(c_3(c_1(c_2(c_2(c_1(c_3(c_2(c_3(c_1(c_0(c_3(c_1(z0)))))))))))))))))) -> c88(3'(1(3(3(1(2(0(1(1(2(2(1(3(3(2(3(1(1(z0)))))))))))))))))), 1'(3(3(1(2(0(1(1(2(2(1(3(3(2(3(1(1(z0))))))))))))))))), 3'(3(1(2(0(1(1(2(2(1(3(3(2(3(1(1(z0)))))))))))))))), 3'(1(2(0(1(1(2(2(1(3(3(2(3(1(1(z0))))))))))))))), 1'(2(0(1(1(2(2(1(3(3(2(3(1(1(z0)))))))))))))), 2'(0(1(1(2(2(1(3(3(2(3(1(1(z0))))))))))))), 0'(1(1(2(2(1(3(3(2(3(1(1(z0)))))))))))), 1'(1(2(2(1(3(3(2(3(1(1(z0))))))))))), 1'(2(2(1(3(3(2(3(1(1(z0)))))))))), 2'(2(1(3(3(2(3(1(1(z0))))))))), 2'(1(3(3(2(3(1(1(z0)))))))), 1'(3(3(2(3(1(1(z0))))))), 3'(3(2(3(1(1(z0)))))), 3'(2(3(1(1(z0))))), 2'(3(1(1(z0)))), 3'(1(1(z0))), 1'(1(z0)), 1'(z0))
   3'(c_2(c_1(c_3(c_1(c_2(c_2(c_2(c_3(c_3(c_0(c_2(c_1(c_3(c_0(c_2(c_0(c_2(z0)))))))))))))))))) -> c89(3'(3(3(2(3(2(2(0(2(2(1(0(3(2(1(2(1(0(z0)))))))))))))))))), 3'(3(2(3(2(2(0(2(2(1(0(3(2(1(2(1(0(z0))))))))))))))))), 3'(2(3(2(2(0(2(2(1(0(3(2(1(2(1(0(z0)))))))))))))))), 2'(3(2(2(0(2(2(1(0(3(2(1(2(1(0(z0))))))))))))))), 3'(2(2(0(2(2(1(0(3(2(1(2(1(0(z0)))))))))))))), 2'(2(0(2(2(1(0(3(2(1(2(1(0(z0))))))))))))), 2'(0(2(2(1(0(3(2(1(2(1(0(z0)))))))))))), 0'(2(2(1(0(3(2(1(2(1(0(z0))))))))))), 2'(2(1(0(3(2(1(2(1(0(z0)))))))))), 2'(1(0(3(2(1(2(1(0(z0))))))))), 1'(0(3(2(1(2(1(0(z0)))))))), 0'(3(2(1(2(1(0(z0))))))), 3'(2(1(2(1(0(z0)))))), 2'(1(2(1(0(z0))))), 1'(2(1(0(z0)))), 2'(1(0(z0))), 1'(0(z0)), 0'(z0))
   3'(c_1(c_0(c_0(c_3(c_0(c_0(c_0(c_0(c_1(c_2(c_0(c_2(c_0(c_2(c_0(c_0(c_1(z0)))))))))))))))))) -> c90(3'(0(0(0(0(0(2(0(0(0(0(3(0(2(1(1(2(1(z0)))))))))))))))))), 0'(0(0(0(0(2(0(0(0(0(3(0(2(1(1(2(1(z0))))))))))))))))), 0'(0(0(0(2(0(0(0(0(3(0(2(1(1(2(1(z0)))))))))))))))), 0'(0(0(2(0(0(0(0(3(0(2(1(1(2(1(z0))))))))))))))), 0'(0(2(0(0(0(0(3(0(2(1(1(2(1(z0)))))))))))))), 0'(2(0(0(0(0(3(0(2(1(1(2(1(z0))))))))))))), 2'(0(0(0(0(3(0(2(1(1(2(1(z0)))))))))))), 0'(0(0(0(3(0(2(1(1(2(1(z0))))))))))), 0'(0(0(3(0(2(1(1(2(1(z0)))))))))), 0'(0(3(0(2(1(1(2(1(z0))))))))), 0'(3(0(2(1(1(2(1(z0)))))))), 3'(0(2(1(1(2(1(z0))))))), 0'(2(1(1(2(1(z0)))))), 2'(1(1(2(1(z0))))), 1'(1(2(1(z0)))), 1'(2(1(z0))), 2'(1(z0)), 1'(z0))
   3'(c_3(c_0(c_3(c_1(c_0(c_0(c_2(c_2(c_2(c_0(c_0(c_0(c_2(c_2(c_1(c_3(c_2(z0)))))))))))))))))) -> c91(0'(3(2(0(3(3(1(2(1(2(2(0(3(0(0(0(2(2(z0)))))))))))))))))), 3'(2(0(3(3(1(2(1(2(2(0(3(0(0(0(2(2(z0))))))))))))))))), 2'(0(3(3(1(2(1(2(2(0(3(0(0(0(2(2(z0)))))))))))))))), 0'(3(3(1(2(1(2(2(0(3(0(0(0(2(2(z0))))))))))))))), 3'(3(1(2(1(2(2(0(3(0(0(0(2(2(z0)))))))))))))), 3'(1(2(1(2(2(0(3(0(0(0(2(2(z0))))))))))))), 1'(2(1(2(2(0(3(0(0(0(2(2(z0)))))))))))), 2'(1(2(2(0(3(0(0(0(2(2(z0))))))))))), 1'(2(2(0(3(0(0(0(2(2(z0)))))))))), 2'(2(0(3(0(0(0(2(2(z0))))))))), 2'(0(3(0(0(0(2(2(z0)))))))), 0'(3(0(0(0(2(2(z0))))))), 3'(0(0(0(2(2(z0)))))), 0'(0(0(2(2(z0))))), 0'(0(2(2(z0)))), 0'(2(2(z0))), 2'(2(z0)), 2'(z0))
S tuples:
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   0'(c_0(c_2(c_0(c_3(c_0(c_2(c_2(c_3(c_0(c_2(c_0(c_0(c_2(c_3(c_0(c_0(c_2(z0)))))))))))))))))) -> c10(0'(0(3(2(2(0(2(0(0(0(2(2(0(3(0(0(3(2(z0)))))))))))))))))), 0'(3(2(2(0(2(0(0(0(2(2(0(3(0(0(3(2(z0))))))))))))))))), 3'(2(2(0(2(0(0(0(2(2(0(3(0(0(3(2(z0)))))))))))))))), 2'(2(0(2(0(0(0(2(2(0(3(0(0(3(2(z0))))))))))))))), 2'(0(2(0(0(0(2(2(0(3(0(0(3(2(z0)))))))))))))), 0'(2(0(0(0(2(2(0(3(0(0(3(2(z0))))))))))))), 2'(0(0(0(2(2(0(3(0(0(3(2(z0)))))))))))), 0'(0(0(2(2(0(3(0(0(3(2(z0))))))))))), 0'(0(2(2(0(3(0(0(3(2(z0)))))))))), 0'(2(2(0(3(0(0(3(2(z0))))))))), 2'(2(0(3(0(0(3(2(z0)))))))), 2'(0(3(0(0(3(2(z0))))))), 0'(3(0(0(3(2(z0)))))), 3'(0(0(3(2(z0))))), 0'(0(3(2(z0)))), 0'(3(2(z0))), 3'(2(z0)), 2'(z0))
   0'(c_0(c_0(c_1(c_3(c_3(c_2(c_2(c_3(c_0(c_0(c_1(c_3(c_2(c_2(c_3(c_3(c_2(z0)))))))))))))))))) -> c11(3'(0(2(3(0(3(0(3(0(0(1(2(3(3(1(2(2(2(z0)))))))))))))))))), 0'(2(3(0(3(0(3(0(0(1(2(3(3(1(2(2(2(z0))))))))))))))))), 2'(3(0(3(0(3(0(0(1(2(3(3(1(2(2(2(z0)))))))))))))))), 3'(0(3(0(3(0(0(1(2(3(3(1(2(2(2(z0))))))))))))))), 0'(3(0(3(0(0(1(2(3(3(1(2(2(2(z0)))))))))))))), 3'(0(3(0(0(1(2(3(3(1(2(2(2(z0))))))))))))), 0'(3(0(0(1(2(3(3(1(2(2(2(z0)))))))))))), 3'(0(0(1(2(3(3(1(2(2(2(z0))))))))))), 0'(0(1(2(3(3(1(2(2(2(z0)))))))))), 0'(1(2(3(3(1(2(2(2(z0))))))))), 1'(2(3(3(1(2(2(2(z0)))))))), 2'(3(3(1(2(2(2(z0))))))), 3'(3(1(2(2(2(z0)))))), 3'(1(2(2(2(z0))))), 1'(2(2(2(z0)))), 2'(2(2(z0))), 2'(2(z0)), 2'(z0))
   0'(c_0(c_0(c_2(c_2(c_3(c_0(c_0(c_1(c_0(c_0(c_0(c_1(c_0(c_3(c_1(c_2(c_2(z0)))))))))))))))))) -> c12(0'(0(0(3(2(0(1(3(0(2(1(0(0(1(2(0(0(2(z0)))))))))))))))))), 0'(0(3(2(0(1(3(0(2(1(0(0(1(2(0(0(2(z0))))))))))))))))), 0'(3(2(0(1(3(0(2(1(0(0(1(2(0(0(2(z0)))))))))))))))), 3'(2(0(1(3(0(2(1(0(0(1(2(0(0(2(z0))))))))))))))), 2'(0(1(3(0(2(1(0(0(1(2(0(0(2(z0)))))))))))))), 0'(1(3(0(2(1(0(0(1(2(0(0(2(z0))))))))))))), 1'(3(0(2(1(0(0(1(2(0(0(2(z0)))))))))))), 3'(0(2(1(0(0(1(2(0(0(2(z0))))))))))), 0'(2(1(0(0(1(2(0(0(2(z0)))))))))), 2'(1(0(0(1(2(0(0(2(z0))))))))), 1'(0(0(1(2(0(0(2(z0)))))))), 0'(0(1(2(0(0(2(z0))))))), 0'(1(2(0(0(2(z0)))))), 1'(2(0(0(2(z0))))), 2'(0(0(2(z0)))), 0'(0(2(z0))), 0'(2(z0)), 2'(z0))
   0'(c_1(c_0(c_2(c_2(c_1(c_2(c_1(c_3(c_1(c_1(c_2(c_0(c_1(c_2(c_0(c_1(c_0(z0)))))))))))))))))) -> c13(2'(0(0(3(1(2(2(1(2(0(1(0(1(2(1(1(1(0(z0)))))))))))))))))), 0'(0(3(1(2(2(1(2(0(1(0(1(2(1(1(1(0(z0))))))))))))))))), 0'(3(1(2(2(1(2(0(1(0(1(2(1(1(1(0(z0)))))))))))))))), 3'(1(2(2(1(2(0(1(0(1(2(1(1(1(0(z0))))))))))))))), 1'(2(2(1(2(0(1(0(1(2(1(1(1(0(z0)))))))))))))), 2'(2(1(2(0(1(0(1(2(1(1(1(0(z0))))))))))))), 2'(1(2(0(1(0(1(2(1(1(1(0(z0)))))))))))), 1'(2(0(1(0(1(2(1(1(1(0(z0))))))))))), 2'(0(1(0(1(2(1(1(1(0(z0)))))))))), 0'(1(0(1(2(1(1(1(0(z0))))))))), 1'(0(1(2(1(1(1(0(z0)))))))), 0'(1(2(1(1(1(0(z0))))))), 1'(2(1(1(1(0(z0)))))), 2'(1(1(1(0(z0))))), 1'(1(1(0(z0)))), 1'(1(0(z0))), 1'(0(z0)), 0'(z0))
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   3'(c_0(c_2(c_2(c_3(c_2(c_2(c_3(c_2(c_2(c_3(c_3(c_2(c_0(c_1(c_3(c_2(c_3(z0)))))))))))))))))) -> c82(0'(3(3(2(1(3(3(2(2(3(2(2(2(0(3(2(2(3(z0)))))))))))))))))), 3'(3(2(1(3(3(2(2(3(2(2(2(0(3(2(2(3(z0))))))))))))))))), 3'(2(1(3(3(2(2(3(2(2(2(0(3(2(2(3(z0)))))))))))))))), 2'(1(3(3(2(2(3(2(2(2(0(3(2(2(3(z0))))))))))))))), 1'(3(3(2(2(3(2(2(2(0(3(2(2(3(z0)))))))))))))), 3'(3(2(2(3(2(2(2(0(3(2(2(3(z0))))))))))))), 3'(2(2(3(2(2(2(0(3(2(2(3(z0)))))))))))), 2'(2(3(2(2(2(0(3(2(2(3(z0))))))))))), 2'(3(2(2(2(0(3(2(2(3(z0)))))))))), 3'(2(2(2(0(3(2(2(3(z0))))))))), 2'(2(2(0(3(2(2(3(z0)))))))), 2'(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))
   3'(c_0(c_1(c_2(c_1(c_0(c_2(c_1(c_1(c_3(c_0(c_1(c_2(c_3(c_1(c_1(c_1(c_1(z0)))))))))))))))))) -> c83(3'(3(1(1(1(0(1(2(1(1(1(2(2(3(0(1(0(1(z0)))))))))))))))))), 3'(1(1(1(0(1(2(1(1(1(2(2(3(0(1(0(1(z0))))))))))))))))), 1'(1(1(0(1(2(1(1(1(2(2(3(0(1(0(1(z0)))))))))))))))), 1'(1(0(1(2(1(1(1(2(2(3(0(1(0(1(z0))))))))))))))), 1'(0(1(2(1(1(1(2(2(3(0(1(0(1(z0)))))))))))))), 0'(1(2(1(1(1(2(2(3(0(1(0(1(z0))))))))))))), 1'(2(1(1(1(2(2(3(0(1(0(1(z0)))))))))))), 2'(1(1(1(2(2(3(0(1(0(1(z0))))))))))), 1'(1(1(2(2(3(0(1(0(1(z0)))))))))), 1'(1(2(2(3(0(1(0(1(z0))))))))), 1'(2(2(3(0(1(0(1(z0)))))))), 2'(2(3(0(1(0(1(z0))))))), 2'(3(0(1(0(1(z0)))))), 3'(0(1(0(1(z0))))), 0'(1(0(1(z0)))), 1'(0(1(z0))), 0'(1(z0)), 1'(z0))
   3'(c_3(c_2(c_1(c_3(c_0(c_0(c_1(c_3(c_2(c_0(c_0(c_2(c_3(c_3(c_0(c_0(c_2(z0)))))))))))))))))) -> c84(3'(0(0(3(0(3(0(1(2(0(3(1(3(0(3(2(2(2(z0)))))))))))))))))), 0'(0(3(0(3(0(1(2(0(3(1(3(0(3(2(2(2(z0))))))))))))))))), 0'(3(0(3(0(1(2(0(3(1(3(0(3(2(2(2(z0)))))))))))))))), 3'(0(3(0(1(2(0(3(1(3(0(3(2(2(2(z0))))))))))))))), 0'(3(0(1(2(0(3(1(3(0(3(2(2(2(z0)))))))))))))), 3'(0(1(2(0(3(1(3(0(3(2(2(2(z0))))))))))))), 0'(1(2(0(3(1(3(0(3(2(2(2(z0)))))))))))), 1'(2(0(3(1(3(0(3(2(2(2(z0))))))))))), 2'(0(3(1(3(0(3(2(2(2(z0)))))))))), 0'(3(1(3(0(3(2(2(2(z0))))))))), 3'(1(3(0(3(2(2(2(z0)))))))), 1'(3(0(3(2(2(2(z0))))))), 3'(0(3(2(2(2(z0)))))), 0'(3(2(2(2(z0))))), 3'(2(2(2(z0)))), 2'(2(2(z0))), 2'(2(z0)), 2'(z0))
   3'(c_3(c_0(c_2(c_0(c_2(c_0(c_1(c_2(c_0(c_2(c_3(c_0(c_2(c_2(c_0(c_3(c_3(z0)))))))))))))))))) -> c85(3'(2(0(3(2(0(0(0(3(0(3(2(2(2(1(2(0(3(z0)))))))))))))))))), 2'(0(3(2(0(0(0(3(0(3(2(2(2(1(2(0(3(z0))))))))))))))))), 0'(3(2(0(0(0(3(0(3(2(2(2(1(2(0(3(z0)))))))))))))))), 3'(2(0(0(0(3(0(3(2(2(2(1(2(0(3(z0))))))))))))))), 2'(0(0(0(3(0(3(2(2(2(1(2(0(3(z0)))))))))))))), 0'(0(0(3(0(3(2(2(2(1(2(0(3(z0))))))))))))), 0'(0(3(0(3(2(2(2(1(2(0(3(z0)))))))))))), 0'(3(0(3(2(2(2(1(2(0(3(z0))))))))))), 3'(0(3(2(2(2(1(2(0(3(z0)))))))))), 0'(3(2(2(2(1(2(0(3(z0))))))))), 3'(2(2(2(1(2(0(3(z0)))))))), 2'(2(2(1(2(0(3(z0))))))), 2'(2(1(2(0(3(z0)))))), 2'(1(2(0(3(z0))))), 1'(2(0(3(z0)))), 2'(0(3(z0))), 0'(3(z0)), 3'(z0))
   3'(c_2(c_2(c_1(c_2(c_2(c_3(c_1(c_1(c_2(c_0(c_1(c_3(c_1(c_2(c_2(c_1(c_1(z0)))))))))))))))))) -> c86(3'(1(1(1(2(2(1(3(2(3(2(2(1(1(2(0(2(1(z0)))))))))))))))))), 1'(1(1(2(2(1(3(2(3(2(2(1(1(2(0(2(1(z0))))))))))))))))), 1'(1(2(2(1(3(2(3(2(2(1(1(2(0(2(1(z0)))))))))))))))), 1'(2(2(1(3(2(3(2(2(1(1(2(0(2(1(z0))))))))))))))), 2'(2(1(3(2(3(2(2(1(1(2(0(2(1(z0)))))))))))))), 2'(1(3(2(3(2(2(1(1(2(0(2(1(z0))))))))))))), 1'(3(2(3(2(2(1(1(2(0(2(1(z0)))))))))))), 3'(2(3(2(2(1(1(2(0(2(1(z0))))))))))), 2'(3(2(2(1(1(2(0(2(1(z0)))))))))), 3'(2(2(1(1(2(0(2(1(z0))))))))), 2'(2(1(1(2(0(2(1(z0)))))))), 2'(1(1(2(0(2(1(z0))))))), 1'(1(2(0(2(1(z0)))))), 1'(2(0(2(1(z0))))), 2'(0(2(1(z0)))), 0'(2(1(z0))), 2'(1(z0)), 1'(z0))
   3'(c_2(c_2(c_2(c_3(c_2(c_3(c_0(c_1(c_3(c_2(c_1(c_3(c_2(c_3(c_0(c_2(c_1(z0)))))))))))))))))) -> c87(0'(0(3(3(2(1(2(1(3(3(3(3(2(2(2(2(2(1(z0)))))))))))))))))), 0'(3(3(2(1(2(1(3(3(3(3(2(2(2(2(2(1(z0))))))))))))))))), 3'(3(2(1(2(1(3(3(3(3(2(2(2(2(2(1(z0)))))))))))))))), 3'(2(1(2(1(3(3(3(3(2(2(2(2(2(1(z0))))))))))))))), 2'(1(2(1(3(3(3(3(2(2(2(2(2(1(z0)))))))))))))), 1'(2(1(3(3(3(3(2(2(2(2(2(1(z0))))))))))))), 2'(1(3(3(3(3(2(2(2(2(2(1(z0)))))))))))), 1'(3(3(3(3(2(2(2(2(2(1(z0))))))))))), 3'(3(3(3(2(2(2(2(2(1(z0)))))))))), 3'(3(3(2(2(2(2(2(1(z0))))))))), 3'(3(2(2(2(2(2(1(z0)))))))), 3'(2(2(2(2(2(1(z0))))))), 2'(2(2(2(2(1(z0)))))), 2'(2(2(2(1(z0))))), 2'(2(2(1(z0)))), 2'(2(1(z0))), 2'(1(z0)), 1'(z0))
   3'(c_1(c_3(c_2(c_1(c_1(c_3(c_1(c_2(c_2(c_1(c_3(c_2(c_3(c_1(c_0(c_3(c_1(z0)))))))))))))))))) -> c88(3'(1(3(3(1(2(0(1(1(2(2(1(3(3(2(3(1(1(z0)))))))))))))))))), 1'(3(3(1(2(0(1(1(2(2(1(3(3(2(3(1(1(z0))))))))))))))))), 3'(3(1(2(0(1(1(2(2(1(3(3(2(3(1(1(z0)))))))))))))))), 3'(1(2(0(1(1(2(2(1(3(3(2(3(1(1(z0))))))))))))))), 1'(2(0(1(1(2(2(1(3(3(2(3(1(1(z0)))))))))))))), 2'(0(1(1(2(2(1(3(3(2(3(1(1(z0))))))))))))), 0'(1(1(2(2(1(3(3(2(3(1(1(z0)))))))))))), 1'(1(2(2(1(3(3(2(3(1(1(z0))))))))))), 1'(2(2(1(3(3(2(3(1(1(z0)))))))))), 2'(2(1(3(3(2(3(1(1(z0))))))))), 2'(1(3(3(2(3(1(1(z0)))))))), 1'(3(3(2(3(1(1(z0))))))), 3'(3(2(3(1(1(z0)))))), 3'(2(3(1(1(z0))))), 2'(3(1(1(z0)))), 3'(1(1(z0))), 1'(1(z0)), 1'(z0))
   3'(c_2(c_1(c_3(c_1(c_2(c_2(c_2(c_3(c_3(c_0(c_2(c_1(c_3(c_0(c_2(c_0(c_2(z0)))))))))))))))))) -> c89(3'(3(3(2(3(2(2(0(2(2(1(0(3(2(1(2(1(0(z0)))))))))))))))))), 3'(3(2(3(2(2(0(2(2(1(0(3(2(1(2(1(0(z0))))))))))))))))), 3'(2(3(2(2(0(2(2(1(0(3(2(1(2(1(0(z0)))))))))))))))), 2'(3(2(2(0(2(2(1(0(3(2(1(2(1(0(z0))))))))))))))), 3'(2(2(0(2(2(1(0(3(2(1(2(1(0(z0)))))))))))))), 2'(2(0(2(2(1(0(3(2(1(2(1(0(z0))))))))))))), 2'(0(2(2(1(0(3(2(1(2(1(0(z0)))))))))))), 0'(2(2(1(0(3(2(1(2(1(0(z0))))))))))), 2'(2(1(0(3(2(1(2(1(0(z0)))))))))), 2'(1(0(3(2(1(2(1(0(z0))))))))), 1'(0(3(2(1(2(1(0(z0)))))))), 0'(3(2(1(2(1(0(z0))))))), 3'(2(1(2(1(0(z0)))))), 2'(1(2(1(0(z0))))), 1'(2(1(0(z0)))), 2'(1(0(z0))), 1'(0(z0)), 0'(z0))
   3'(c_1(c_0(c_0(c_3(c_0(c_0(c_0(c_0(c_1(c_2(c_0(c_2(c_0(c_2(c_0(c_0(c_1(z0)))))))))))))))))) -> c90(3'(0(0(0(0(0(2(0(0(0(0(3(0(2(1(1(2(1(z0)))))))))))))))))), 0'(0(0(0(0(2(0(0(0(0(3(0(2(1(1(2(1(z0))))))))))))))))), 0'(0(0(0(2(0(0(0(0(3(0(2(1(1(2(1(z0)))))))))))))))), 0'(0(0(2(0(0(0(0(3(0(2(1(1(2(1(z0))))))))))))))), 0'(0(2(0(0(0(0(3(0(2(1(1(2(1(z0)))))))))))))), 0'(2(0(0(0(0(3(0(2(1(1(2(1(z0))))))))))))), 2'(0(0(0(0(3(0(2(1(1(2(1(z0)))))))))))), 0'(0(0(0(3(0(2(1(1(2(1(z0))))))))))), 0'(0(0(3(0(2(1(1(2(1(z0)))))))))), 0'(0(3(0(2(1(1(2(1(z0))))))))), 0'(3(0(2(1(1(2(1(z0)))))))), 3'(0(2(1(1(2(1(z0))))))), 0'(2(1(1(2(1(z0)))))), 2'(1(1(2(1(z0))))), 1'(1(2(1(z0)))), 1'(2(1(z0))), 2'(1(z0)), 1'(z0))
   3'(c_3(c_0(c_3(c_1(c_0(c_0(c_2(c_2(c_2(c_0(c_0(c_0(c_2(c_2(c_1(c_3(c_2(z0)))))))))))))))))) -> c91(0'(3(2(0(3(3(1(2(1(2(2(0(3(0(0(0(2(2(z0)))))))))))))))))), 3'(2(0(3(3(1(2(1(2(2(0(3(0(0(0(2(2(z0))))))))))))))))), 2'(0(3(3(1(2(1(2(2(0(3(0(0(0(2(2(z0)))))))))))))))), 0'(3(3(1(2(1(2(2(0(3(0(0(0(2(2(z0))))))))))))))), 3'(3(1(2(1(2(2(0(3(0(0(0(2(2(z0)))))))))))))), 3'(1(2(1(2(2(0(3(0(0(0(2(2(z0))))))))))))), 1'(2(1(2(2(0(3(0(0(0(2(2(z0)))))))))))), 2'(1(2(2(0(3(0(0(0(2(2(z0))))))))))), 1'(2(2(0(3(0(0(0(2(2(z0)))))))))), 2'(2(0(3(0(0(0(2(2(z0))))))))), 2'(0(3(0(0(0(2(2(z0)))))))), 0'(3(0(0(0(2(2(z0))))))), 3'(0(0(0(2(2(z0)))))), 0'(0(0(2(2(z0))))), 0'(0(2(2(z0)))), 0'(2(2(z0))), 2'(2(z0)), 2'(z0))
K tuples:none
Defined Rule Symbols:   2_1, 3_1, 0_1, 1_1, encArg_1, encode_0_1, encode_1_1, encode_3_1, encode_2_1

Defined Pair Symbols:   ENCARG_1, ENCODE_0_1, ENCODE_1_1, ENCODE_3_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, c30_18, c31_18, c32_18, c33_18, c34_18, c35_18, c36_18, c37_18, c38_18, c39_18, c40_18, c41_18, c42_18, c44_18, c45_18, c46_18, c47_18, c48_18, c49_18, c50_18, c51_18, c52_18, c53_18, c54_18, c55_18, c56_18, c57_18, c58_18, c59_18, c60_18, c61_18, c62_18, c63_18, c64_18, c65_18, c67_18, c68_18, c69_18, c70_18, c71_18, c72_18, c73_18, c74_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_1(z0) -> 1(encArg(z0))
   encode_3(z0) -> 3(encArg(z0))
   encode_2(z0) -> 2(encArg(z0))
   0(z0) -> c_0(z0)
   0(c_0(c_2(c_0(c_3(c_3(c_2(c_3(c_1(c_3(c_1(c_0(c_2(c_1(c_3(c_0(c_2(c_0(z0)))))))))))))))))) -> 0(0(1(1(3(0(3(3(1(2(0(2(3(0(2(2(0(3(z0))))))))))))))))))
   0(c_0(c_2(c_0(c_3(c_0(c_2(c_2(c_3(c_0(c_2(c_0(c_0(c_2(c_3(c_0(c_0(c_2(z0)))))))))))))))))) -> 0(0(3(2(2(0(2(0(0(0(2(2(0(3(0(0(3(2(z0))))))))))))))))))
   0(c_0(c_0(c_1(c_3(c_3(c_2(c_2(c_3(c_0(c_0(c_1(c_3(c_2(c_2(c_3(c_3(c_2(z0)))))))))))))))))) -> 3(0(2(3(0(3(0(3(0(0(1(2(3(3(1(2(2(2(z0))))))))))))))))))
   0(c_0(c_0(c_2(c_2(c_3(c_0(c_0(c_1(c_0(c_0(c_0(c_1(c_0(c_3(c_1(c_2(c_2(z0)))))))))))))))))) -> 0(0(0(3(2(0(1(3(0(2(1(0(0(1(2(0(0(2(z0))))))))))))))))))
   0(c_1(c_0(c_2(c_2(c_1(c_2(c_1(c_3(c_1(c_1(c_2(c_0(c_1(c_2(c_0(c_1(c_0(z0)))))))))))))))))) -> 2(0(0(3(1(2(2(1(2(0(1(0(1(2(1(1(1(0(z0))))))))))))))))))
   0(c_2(c_1(c_0(c_2(c_0(c_3(c_0(c_1(c_0(c_2(c_0(c_2(c_0(c_1(c_2(c_0(c_3(z0)))))))))))))))))) -> 0(2(1(2(0(2(1(2(0(3(0(0(3(2(1(0(0(0(z0))))))))))))))))))
   0(c_1(c_2(c_3(c_3(c_3(c_1(c_3(c_3(c_3(c_2(c_3(c_1(c_2(c_0(c_1(c_3(c_1(z0)))))))))))))))))) -> 2(3(0(3(3(3(1(1(3(0(3(1(3(2(3(1(2(1(z0))))))))))))))))))
   0(c_1(c_1(c_1(c_3(c_0(c_1(c_3(c_1(c_2(c_0(c_2(c_1(c_2(c_2(c_0(c_3(c_0(z0)))))))))))))))))) -> 3(0(3(2(2(1(1(1(2(0(1(1(2(1(3(0(0(0(z0))))))))))))))))))
   0(c_1(c_3(c_2(c_3(c_1(c_1(c_3(c_2(c_2(c_0(c_0(c_1(c_3(c_2(c_3(c_3(c_3(z0)))))))))))))))))) -> 2(3(0(3(3(3(1(0(0(1(2(1(3(2(3(2(1(3(z0))))))))))))))))))
   0(c_1(c_0(c_0(c_2(c_2(c_2(c_3(c_2(c_1(c_3(c_2(c_3(c_3(c_1(c_0(c_1(c_0(z0)))))))))))))))))) -> 0(1(2(3(0(3(3(0(2(0(1(0(2(1(3(2(1(2(z0))))))))))))))))))
   0(c_3(c_2(c_3(c_1(c_0(c_0(c_1(c_0(c_0(c_1(c_2(c_3(c_2(c_1(c_1(c_0(c_1(z0)))))))))))))))))) -> 3(0(0(3(1(1(0(0(2(1(2(2(0(1(1(0(3(1(z0))))))))))))))))))
   0(c_2(c_0(c_1(c_0(c_0(c_0(c_1(c_0(c_3(c_0(c_2(c_3(c_3(c_3(c_3(c_0(c_3(z0)))))))))))))))))) -> 0(3(0(0(0(3(3(2(0(1(1(0(2(3(0(0(3(3(z0))))))))))))))))))
   0(c_2(c_0(c_1(c_3(c_1(c_0(c_0(c_3(c_2(c_0(c_2(c_2(c_3(c_0(c_1(c_0(c_0(z0)))))))))))))))))) -> 1(0(0(3(2(1(2(2(2(0(0(3(1(0(0(0(3(0(z0))))))))))))))))))
   0(c_1(c_2(c_2(c_3(c_1(c_3(c_3(c_1(c_3(c_2(c_2(c_3(c_3(c_0(c_2(c_0(c_2(z0)))))))))))))))))) -> 0(1(2(3(0(3(3(3(3(2(2(1(2(0(2(3(1(2(z0))))))))))))))))))
   0(c_3(c_1(c_1(c_2(c_2(c_0(c_0(c_0(c_1(c_3(c_2(c_3(c_3(c_3(c_3(c_3(c_3(z0)))))))))))))))))) -> 3(0(3(2(3(3(0(0(3(2(1(1(0(3(1(2(3(3(z0))))))))))))))))))
   0(c_3(c_1(c_2(c_1(c_0(c_2(c_1(c_3(c_0(c_3(c_2(c_3(c_2(c_3(c_0(c_1(c_2(z0)))))))))))))))))) -> 3(0(2(3(0(3(1(2(1(2(3(0(3(1(0(2(1(2(z0))))))))))))))))))
   0(c_1(c_2(c_3(c_0(c_2(c_1(c_1(c_3(c_3(c_3(c_2(c_3(c_1(c_3(c_1(c_3(c_1(z0)))))))))))))))))) -> 2(1(3(2(3(1(1(3(3(0(3(3(0(3(2(1(1(1(z0))))))))))))))))))
   0(c_0(c_2(c_0(c_1(c_1(c_3(c_0(c_2(c_3(c_2(c_2(c_0(c_2(c_3(c_3(c_1(c_2(z0)))))))))))))))))) -> 0(0(3(2(1(0(0(3(1(3(0(3(2(2(1(2(2(2(z0))))))))))))))))))
   0(c_3(c_3(c_2(c_3(c_1(c_3(c_2(c_0(c_0(c_2(c_1(c_3(c_1(c_3(c_2(c_3(c_3(z0)))))))))))))))))) -> 3(2(2(3(2(0(1(2(1(3(1(3(0(3(0(3(3(3(z0))))))))))))))))))
   0(c_0(c_1(c_3(c_1(c_0(c_0(c_1(c_3(c_3(c_0(c_0(c_1(c_2(c_2(c_1(c_1(c_1(z0)))))))))))))))))) -> 3(3(0(2(0(0(0(0(1(0(2(1(3(1(1(1(1(1(z0))))))))))))))))))
   1(z0) -> c_1(z0)
   1(c_2(c_3(c_0(c_1(c_0(c_3(c_1(c_2(c_3(c_1(c_1(c_1(c_1(c_3(c_2(c_3(c_0(z0)))))))))))))))))) -> 1(1(2(1(1(3(0(3(3(2(1(2(0(3(1(1(3(0(z0))))))))))))))))))
   1(c_3(c_1(c_3(c_1(c_1(c_1(c_2(c_1(c_3(c_0(c_1(c_2(c_1(c_3(c_1(c_1(c_0(z0)))))))))))))))))) -> 1(0(1(1(1(3(3(2(3(0(1(2(1(1(1(1(1(3(z0))))))))))))))))))
   1(c_1(c_0(c_3(c_1(c_2(c_0(c_0(c_1(c_3(c_2(c_1(c_2(c_0(c_3(c_0(c_2(c_2(z0)))))))))))))))))) -> 1(1(2(2(3(2(1(0(0(3(2(3(0(0(0(1(1(2(z0))))))))))))))))))
   1(c_2(c_2(c_0(c_3(c_1(c_3(c_0(c_0(c_1(c_3(c_3(c_0(c_3(c_2(c_3(c_1(c_2(z0)))))))))))))))))) -> 1(0(2(3(3(3(3(0(2(0(3(1(0(3(1(2(1(2(z0))))))))))))))))))
   1(c_1(c_0(c_0(c_0(c_2(c_0(c_1(c_0(c_1(c_1(c_0(c_3(c_2(c_1(c_0(c_0(c_2(z0)))))))))))))))))) -> 1(1(2(1(1(0(0(2(3(0(0(0(0(1(1(0(0(2(z0))))))))))))))))))
   1(c_3(c_1(c_3(c_2(c_0(c_0(c_0(c_1(c_3(c_1(c_0(c_2(c_2(c_2(c_1(c_0(c_2(z0)))))))))))))))))) -> 1(0(1(1(2(2(0(3(3(0(1(0(1(2(2(3(0(2(z0))))))))))))))))))
   1(c_0(c_0(c_0(c_3(c_0(c_2(c_1(c_3(c_3(c_1(c_2(c_2(c_3(c_1(c_3(c_2(c_1(z0)))))))))))))))))) -> 1(2(1(3(3(0(3(0(3(1(0(2(2(3(1(0(2(1(z0))))))))))))))))))
   1(c_3(c_3(c_1(c_3(c_1(c_3(c_0(c_1(c_0(c_2(c_3(c_1(c_1(c_1(c_3(c_0(c_3(z0)))))))))))))))))) -> 1(1(1(2(1(3(0(0(3(3(3(0(1(1(3(3(1(3(z0))))))))))))))))))
   1(c_2(c_2(c_2(c_2(c_0(c_3(c_3(c_2(c_1(c_3(c_0(c_2(c_1(c_3(c_2(c_0(c_3(z0)))))))))))))))))) -> 1(2(2(1(2(1(2(0(2(3(2(2(0(0(3(3(3(3(z0))))))))))))))))))
   1(c_3(c_0(c_2(c_0(c_3(c_2(c_2(c_1(c_3(c_2(c_3(c_2(c_2(c_2(c_1(c_3(c_2(z0)))))))))))))))))) -> 1(3(2(1(2(2(3(3(3(2(1(3(2(0(0(2(2(2(z0))))))))))))))))))
   1(c_3(c_2(c_2(c_0(c_3(c_1(c_1(c_3(c_1(c_3(c_0(c_2(c_1(c_2(c_2(c_0(c_3(z0)))))))))))))))))) -> 1(1(2(1(0(1(2(3(3(0(3(0(3(2(2(1(2(3(z0))))))))))))))))))
   1(c_0(c_2(c_1(c_2(c_3(c_3(c_0(c_1(c_0(c_2(c_3(c_0(c_1(c_1(c_3(c_3(c_1(z0)))))))))))))))))) -> 1(2(1(1(1(3(0(3(0(3(1(0(3(2(2(0(3(1(z0))))))))))))))))))
   1(c_0(c_2(c_0(c_0(c_0(c_1(c_2(c_3(c_0(c_1(c_2(c_2(c_2(c_1(c_2(c_2(c_0(z0)))))))))))))))))) -> 1(2(2(0(0(1(1(0(0(2(2(2(2(1(2(0(0(3(z0))))))))))))))))))
   2(z0) -> c_2(z0)
   2(c_2(c_2(c_3(c_0(c_1(c_3(c_2(c_1(c_3(c_3(c_2(c_1(c_2(c_2(c_1(c_2(c_3(z0)))))))))))))))))) -> 2(2(2(1(1(2(3(2(3(2(2(0(3(1(2(1(3(3(z0))))))))))))))))))
   2(c_2(c_1(c_3(c_1(c_3(c_0(c_0(c_2(c_1(c_2(c_2(c_2(c_1(c_1(c_1(c_0(c_1(z0)))))))))))))))))) -> 0(2(2(3(3(1(1(2(0(2(1(1(2(1(0(1(2(1(z0))))))))))))))))))
   2(c_0(c_0(c_1(c_3(c_1(c_3(c_2(c_1(c_0(c_0(c_2(c_2(c_2(c_0(c_2(c_0(c_3(z0)))))))))))))))))) -> 0(2(2(2(0(2(1(0(0(3(0(0(1(2(2(1(3(3(z0))))))))))))))))))
   2(c_3(c_2(c_3(c_1(c_2(c_0(c_1(c_3(c_0(c_1(c_3(c_2(c_1(c_0(c_2(c_3(c_3(z0)))))))))))))))))) -> 0(3(1(0(2(2(1(2(2(1(3(3(3(1(0(2(3(3(z0))))))))))))))))))
   2(c_1(c_2(c_2(c_2(c_2(c_2(c_0(c_1(c_3(c_2(c_0(c_0(c_1(c_2(c_3(c_1(c_2(z0)))))))))))))))))) -> 2(1(2(2(1(0(0(3(3(0(1(2(2(2(2(2(1(2(z0))))))))))))))))))
   2(c_2(c_3(c_2(c_2(c_3(c_1(c_0(c_2(c_3(c_1(c_1(c_1(c_0(c_0(c_1(c_0(c_2(z0)))))))))))))))))) -> 0(2(1(1(2(2(0(3(3(0(1(1(2(2(1(0(3(2(z0))))))))))))))))))
   2(c_3(c_3(c_2(c_1(c_0(c_3(c_0(c_0(c_0(c_3(c_3(c_1(c_3(c_0(c_0(c_0(c_3(z0)))))))))))))))))) -> 2(1(0(3(0(3(0(3(3(3(0(0(0(0(2(1(3(3(z0))))))))))))))))))
   2(c_1(c_0(c_3(c_1(c_3(c_1(c_2(c_2(c_2(c_2(c_1(c_2(c_3(c_1(c_3(c_0(c_2(z0)))))))))))))))))) -> 2(3(3(2(1(2(0(3(1(2(2(1(0(3(2(2(1(1(z0))))))))))))))))))
   2(c_2(c_3(c_1(c_1(c_1(c_3(c_1(c_2(c_0(c_1(c_2(c_2(c_0(c_1(c_2(c_2(c_2(z0)))))))))))))))))) -> 2(2(1(2(1(3(1(1(2(3(2(2(0(1(2(0(1(2(z0))))))))))))))))))
   2(c_2(c_2(c_2(c_3(c_2(c_0(c_1(c_3(c_1(c_2(c_2(c_2(c_1(c_3(c_2(c_3(c_3(z0)))))))))))))))))) -> 2(3(1(2(2(1(2(2(1(0(2(2(2(2(3(3(3(3(z0))))))))))))))))))
   2(c_0(c_2(c_2(c_3(c_1(c_0(c_3(c_2(c_3(c_0(c_3(c_2(c_0(c_0(c_2(c_0(c_2(z0)))))))))))))))))) -> 2(0(0(2(3(0(3(3(0(3(2(0(1(2(2(2(0(2(z0))))))))))))))))))
   2(c_1(c_3(c_0(c_0(c_2(c_2(c_1(c_1(c_3(c_1(c_3(c_1(c_0(c_0(c_2(c_1(c_2(z0)))))))))))))))))) -> 0(1(2(1(0(1(2(1(0(0(1(1(2(3(3(3(2(2(z0))))))))))))))))))
   2(c_0(c_3(c_0(c_0(c_1(c_3(c_1(c_2(c_0(c_2(c_1(c_3(c_0(c_2(c_2(c_0(c_0(z0)))))))))))))))))) -> 0(0(3(0(3(2(1(2(1(2(2(1(2(0(0(0(3(0(z0))))))))))))))))))
   2(c_0(c_2(c_0(c_3(c_0(c_0(c_2(c_2(c_1(c_1(c_0(c_3(c_1(c_0(c_3(c_1(c_1(z0)))))))))))))))))) -> 2(0(0(3(3(2(2(1(0(1(0(1(0(3(2(1(0(1(z0))))))))))))))))))
   2(c_2(c_0(c_0(c_3(c_0(c_1(c_3(c_1(c_0(c_2(c_2(c_2(c_3(c_0(c_1(c_2(c_0(z0)))))))))))))))))) -> 0(2(0(3(2(3(2(1(0(2(0(2(1(0(1(0(2(3(z0))))))))))))))))))
   2(c_0(c_0(c_0(c_1(c_1(c_3(c_1(c_1(c_1(c_2(c_2(c_2(c_2(c_2(c_0(c_1(c_3(z0)))))))))))))))))) -> 2(0(1(2(0(0(3(2(2(1(1(1(1(2(2(1(3(0(z0))))))))))))))))))
   2(c_0(c_3(c_1(c_0(c_3(c_2(c_1(c_0(c_2(c_3(c_1(c_0(c_2(c_2(c_1(c_1(c_1(z0)))))))))))))))))) -> 2(1(2(2(2(0(1(1(0(0(3(3(1(3(0(2(1(1(z0))))))))))))))))))
   2(c_1(c_2(c_1(c_3(c_0(c_2(c_2(c_3(c_2(c_3(c_1(c_1(c_1(c_3(c_3(c_0(c_2(z0)))))))))))))))))) -> 2(1(2(1(3(2(1(2(3(2(3(3(0(0(3(1(2(1(z0))))))))))))))))))
   2(c_2(c_1(c_3(c_3(c_0(c_0(c_2(c_1(c_3(c_0(c_1(c_2(c_2(c_2(c_2(c_3(c_3(z0)))))))))))))))))) -> 2(0(2(2(0(2(1(0(3(2(2(1(1(3(2(3(3(3(z0))))))))))))))))))
   2(c_1(c_2(c_3(c_1(c_3(c_2(c_0(c_2(c_2(c_3(c_3(c_3(c_2(c_3(c_1(c_3(c_3(z0)))))))))))))))))) -> 2(3(3(2(2(1(3(2(3(2(1(0(3(3(1(2(3(3(z0))))))))))))))))))
   2(c_0(c_1(c_0(c_1(c_2(c_2(c_2(c_2(c_3(c_3(c_1(c_1(c_1(c_1(c_2(c_1(c_2(z0)))))))))))))))))) -> 0(2(2(1(1(1(2(1(0(3(3(2(2(1(1(2(1(2(z0))))))))))))))))))
   2(c_3(c_0(c_1(c_3(c_1(c_3(c_3(c_0(c_3(c_0(c_2(c_0(c_3(c_1(c_3(c_2(c_3(z0)))))))))))))))))) -> 0(2(0(3(3(3(2(1(3(0(3(3(3(3(1(1(2(0(z0))))))))))))))))))
   3(z0) -> c_3(z0)
   3(c_0(c_0(c_3(c_1(c_3(c_0(c_2(c_0(c_2(c_0(c_0(c_1(c_0(c_3(c_2(c_3(c_2(z0)))))))))))))))))) -> 0(0(3(2(3(3(0(0(0(3(2(0(1(2(3(1(0(2(z0))))))))))))))))))
   3(c_3(c_0(c_2(c_3(c_0(c_1(c_3(c_3(c_3(c_1(c_2(c_1(c_3(c_2(c_2(c_0(c_3(z0)))))))))))))))))) -> 2(3(1(1(0(1(2(0(3(3(3(2(3(2(3(3(0(3(z0))))))))))))))))))
   3(c_3(c_3(c_2(c_3(c_0(c_2(c_2(c_3(c_1(c_2(c_3(c_0(c_3(c_3(c_2(c_2(c_2(z0)))))))))))))))))) -> 3(0(3(2(2(2(0(3(3(3(2(2(3(2(1(3(3(2(z0))))))))))))))))))
   3(c_1(c_1(c_1(c_3(c_1(c_3(c_3(c_3(c_2(c_3(c_0(c_0(c_2(c_3(c_1(c_3(c_1(z0)))))))))))))))))) -> 3(3(1(2(2(3(0(1(0(3(3(3(1(1(1(3(3(1(z0))))))))))))))))))
   3(c_3(c_2(c_0(c_0(c_1(c_0(c_2(c_3(c_3(c_0(c_3(c_1(c_3(c_3(c_1(c_3(c_3(z0)))))))))))))))))) -> 0(0(3(3(1(1(0(2(2(3(1(3(3(0(3(3(3(3(z0))))))))))))))))))
   3(c_1(c_3(c_2(c_1(c_3(c_1(c_0(c_3(c_2(c_0(c_2(c_0(c_3(c_0(c_2(c_3(c_3(z0)))))))))))))))))) -> 2(2(0(1(2(1(0(3(3(3(0(3(2(1(3(3(3(0(z0))))))))))))))))))
   3(c_1(c_3(c_1(c_1(c_1(c_1(c_3(c_2(c_0(c_0(c_2(c_2(c_2(c_1(c_3(c_3(c_1(z0)))))))))))))))))) -> 3(1(0(3(1(1(0(2(2(2(3(1(2(1(1(3(3(1(z0))))))))))))))))))
   3(c_0(c_0(c_2(c_2(c_2(c_1(c_3(c_1(c_3(c_3(c_3(c_2(c_0(c_2(c_3(c_3(c_3(z0)))))))))))))))))) -> 2(1(2(1(2(3(3(0(2(3(0(3(3(3(2(0(3(3(z0))))))))))))))))))
   3(c_3(c_3(c_1(c_3(c_1(c_3(c_0(c_3(c_3(c_2(c_0(c_1(c_3(c_0(c_1(c_2(c_3(z0)))))))))))))))))) -> 3(3(3(1(1(3(1(3(3(3(2(3(0(3(1(2(0(0(z0))))))))))))))))))
   3(c_0(c_0(c_0(c_2(c_0(c_3(c_2(c_0(c_2(c_2(c_2(c_0(c_0(c_1(c_3(c_0(c_2(z0)))))))))))))))))) -> 0(0(2(1(2(3(0(3(2(0(2(0(0(3(0(2(0(2(z0))))))))))))))))))
   3(c_2(c_3(c_0(c_2(c_2(c_2(c_2(c_0(c_0(c_0(c_1(c_1(c_1(c_3(c_0(c_2(c_3(z0)))))))))))))))))) -> 3(0(2(3(2(0(3(1(2(0(2(1(0(3(2(1(2(0(z0))))))))))))))))))
   3(c_2(c_0(c_0(c_0(c_2(c_3(c_3(c_1(c_1(c_0(c_1(c_3(c_2(c_3(c_3(c_0(c_0(z0)))))))))))))))))) -> 3(0(2(1(2(3(3(0(3(1(0(1(2(3(3(0(0(0(z0))))))))))))))))))
   3(c_0(c_3(c_2(c_2(c_0(c_2(c_0(c_0(c_0(c_1(c_3(c_2(c_3(c_3(c_0(c_3(c_0(z0)))))))))))))))))) -> 3(0(2(0(1(2(2(0(3(0(2(0(3(0(3(3(3(0(z0))))))))))))))))))
   3(c_0(c_2(c_2(c_0(c_1(c_2(c_0(c_0(c_2(c_0(c_2(c_2(c_2(c_3(c_1(c_0(c_2(z0)))))))))))))))))) -> 0(2(1(2(2(3(0(0(3(2(2(1(2(0(2(0(0(2(z0))))))))))))))))))
   3(c_3(c_2(c_1(c_3(c_2(c_0(c_2(c_0(c_0(c_3(c_1(c_3(c_0(c_2(c_0(c_2(c_2(z0)))))))))))))))))) -> 2(0(1(3(2(2(2(1(2(3(3(0(3(0(0(0(3(2(z0))))))))))))))))))
   3(c_0(c_2(c_2(c_3(c_2(c_2(c_3(c_2(c_2(c_3(c_3(c_2(c_0(c_1(c_3(c_2(c_3(z0)))))))))))))))))) -> 0(3(3(2(1(3(3(2(2(3(2(2(2(0(3(2(2(3(z0))))))))))))))))))
   3(c_0(c_1(c_2(c_1(c_0(c_2(c_1(c_1(c_3(c_0(c_1(c_2(c_3(c_1(c_1(c_1(c_1(z0)))))))))))))))))) -> 3(3(1(1(1(0(1(2(1(1(1(2(2(3(0(1(0(1(z0))))))))))))))))))
   3(c_3(c_2(c_1(c_3(c_0(c_0(c_1(c_3(c_2(c_0(c_0(c_2(c_3(c_3(c_0(c_0(c_2(z0)))))))))))))))))) -> 3(0(0(3(0(3(0(1(2(0(3(1(3(0(3(2(2(2(z0))))))))))))))))))
   3(c_3(c_0(c_2(c_0(c_2(c_0(c_1(c_2(c_0(c_2(c_3(c_0(c_2(c_2(c_0(c_3(c_3(z0)))))))))))))))))) -> 3(2(0(3(2(0(0(0(3(0(3(2(2(2(1(2(0(3(z0))))))))))))))))))
   3(c_2(c_2(c_1(c_2(c_2(c_3(c_1(c_1(c_2(c_0(c_1(c_3(c_1(c_2(c_2(c_1(c_1(z0)))))))))))))))))) -> 3(1(1(1(2(2(1(3(2(3(2(2(1(1(2(0(2(1(z0))))))))))))))))))
   3(c_2(c_2(c_2(c_3(c_2(c_3(c_0(c_1(c_3(c_2(c_1(c_3(c_2(c_3(c_0(c_2(c_1(z0)))))))))))))))))) -> 0(0(3(3(2(1(2(1(3(3(3(3(2(2(2(2(2(1(z0))))))))))))))))))
   3(c_1(c_3(c_2(c_1(c_1(c_3(c_1(c_2(c_2(c_1(c_3(c_2(c_3(c_1(c_0(c_3(c_1(z0)))))))))))))))))) -> 3(1(3(3(1(2(0(1(1(2(2(1(3(3(2(3(1(1(z0))))))))))))))))))
   3(c_2(c_1(c_3(c_1(c_2(c_2(c_2(c_3(c_3(c_0(c_2(c_1(c_3(c_0(c_2(c_0(c_2(z0)))))))))))))))))) -> 3(3(3(2(3(2(2(0(2(2(1(0(3(2(1(2(1(0(z0))))))))))))))))))
   3(c_1(c_0(c_0(c_3(c_0(c_0(c_0(c_0(c_1(c_2(c_0(c_2(c_0(c_2(c_0(c_0(c_1(z0)))))))))))))))))) -> 3(0(0(0(0(0(2(0(0(0(0(3(0(2(1(1(2(1(z0))))))))))))))))))
   3(c_3(c_0(c_3(c_1(c_0(c_0(c_2(c_2(c_2(c_0(c_0(c_0(c_2(c_2(c_1(c_3(c_2(z0)))))))))))))))))) -> 0(3(2(0(3(3(1(2(1(2(2(0(3(0(0(0(2(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))
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   0'(c_1(c_1(c_1(c_3(c_0(c_1(c_3(c_1(c_2(c_0(c_2(c_1(c_2(c_2(c_0(c_3(c_0(z0)))))))))))))))))) -> c16(3'(0(3(2(2(1(1(1(2(0(1(1(2(1(3(0(0(0(z0)))))))))))))))))), 0'(3(2(2(1(1(1(2(0(1(1(2(1(3(0(0(0(z0))))))))))))))))), 3'(2(2(1(1(1(2(0(1(1(2(1(3(0(0(0(z0)))))))))))))))), 2'(2(1(1(1(2(0(1(1(2(1(3(0(0(0(z0))))))))))))))), 2'(1(1(1(2(0(1(1(2(1(3(0(0(0(z0)))))))))))))), 1'(1(1(2(0(1(1(2(1(3(0(0(0(z0))))))))))))), 1'(1(2(0(1(1(2(1(3(0(0(0(z0)))))))))))), 1'(2(0(1(1(2(1(3(0(0(0(z0))))))))))), 2'(0(1(1(2(1(3(0(0(0(z0)))))))))), 0'(1(1(2(1(3(0(0(0(z0))))))))), 1'(1(2(1(3(0(0(0(z0)))))))), 1'(2(1(3(0(0(0(z0))))))), 2'(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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   0'(c_1(c_0(c_0(c_2(c_2(c_2(c_3(c_2(c_1(c_3(c_2(c_3(c_3(c_1(c_0(c_1(c_0(z0)))))))))))))))))) -> c18(0'(1(2(3(0(3(3(0(2(0(1(0(2(1(3(2(1(2(z0)))))))))))))))))), 1'(2(3(0(3(3(0(2(0(1(0(2(1(3(2(1(2(z0))))))))))))))))), 2'(3(0(3(3(0(2(0(1(0(2(1(3(2(1(2(z0)))))))))))))))), 3'(0(3(3(0(2(0(1(0(2(1(3(2(1(2(z0))))))))))))))), 0'(3(3(0(2(0(1(0(2(1(3(2(1(2(z0)))))))))))))), 3'(3(0(2(0(1(0(2(1(3(2(1(2(z0))))))))))))), 3'(0(2(0(1(0(2(1(3(2(1(2(z0)))))))))))), 0'(2(0(1(0(2(1(3(2(1(2(z0))))))))))), 2'(0(1(0(2(1(3(2(1(2(z0)))))))))), 0'(1(0(2(1(3(2(1(2(z0))))))))), 1'(0(2(1(3(2(1(2(z0)))))))), 0'(2(1(3(2(1(2(z0))))))), 2'(1(3(2(1(2(z0)))))), 1'(3(2(1(2(z0))))), 3'(2(1(2(z0)))), 2'(1(2(z0))), 1'(2(z0)), 2'(z0))
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   3'(c_0(c_3(c_2(c_2(c_0(c_2(c_0(c_0(c_0(c_1(c_3(c_2(c_3(c_3(c_0(c_3(c_0(z0)))))))))))))))))) -> c79(3'(0(2(0(1(2(2(0(3(0(2(0(3(0(3(3(3(0(z0)))))))))))))))))), 0'(2(0(1(2(2(0(3(0(2(0(3(0(3(3(3(0(z0))))))))))))))))), 2'(0(1(2(2(0(3(0(2(0(3(0(3(3(3(0(z0)))))))))))))))), 0'(1(2(2(0(3(0(2(0(3(0(3(3(3(0(z0))))))))))))))), 1'(2(2(0(3(0(2(0(3(0(3(3(3(0(z0)))))))))))))), 2'(2(0(3(0(2(0(3(0(3(3(3(0(z0))))))))))))), 2'(0(3(0(2(0(3(0(3(3(3(0(z0)))))))))))), 0'(3(0(2(0(3(0(3(3(3(0(z0))))))))))), 3'(0(2(0(3(0(3(3(3(0(z0)))))))))), 0'(2(0(3(0(3(3(3(0(z0))))))))), 2'(0(3(0(3(3(3(0(z0)))))))), 0'(3(0(3(3(3(0(z0))))))), 3'(0(3(3(3(0(z0)))))), 0'(3(3(3(0(z0))))), 3'(3(3(0(z0)))), 3'(3(0(z0))), 3'(0(z0)), 0'(z0))
   3'(c_0(c_2(c_2(c_0(c_1(c_2(c_0(c_0(c_2(c_0(c_2(c_2(c_2(c_3(c_1(c_0(c_2(z0)))))))))))))))))) -> c80(0'(2(1(2(2(3(0(0(3(2(2(1(2(0(2(0(0(2(z0)))))))))))))))))), 2'(1(2(2(3(0(0(3(2(2(1(2(0(2(0(0(2(z0))))))))))))))))), 1'(2(2(3(0(0(3(2(2(1(2(0(2(0(0(2(z0)))))))))))))))), 2'(2(3(0(0(3(2(2(1(2(0(2(0(0(2(z0))))))))))))))), 2'(3(0(0(3(2(2(1(2(0(2(0(0(2(z0)))))))))))))), 3'(0(0(3(2(2(1(2(0(2(0(0(2(z0))))))))))))), 0'(0(3(2(2(1(2(0(2(0(0(2(z0)))))))))))), 0'(3(2(2(1(2(0(2(0(0(2(z0))))))))))), 3'(2(2(1(2(0(2(0(0(2(z0)))))))))), 2'(2(1(2(0(2(0(0(2(z0))))))))), 2'(1(2(0(2(0(0(2(z0)))))))), 1'(2(0(2(0(0(2(z0))))))), 2'(0(2(0(0(2(z0)))))), 0'(2(0(0(2(z0))))), 2'(0(0(2(z0)))), 0'(0(2(z0))), 0'(2(z0)), 2'(z0))
   3'(c_3(c_2(c_1(c_3(c_2(c_0(c_2(c_0(c_0(c_3(c_1(c_3(c_0(c_2(c_0(c_2(c_2(z0)))))))))))))))))) -> c81(2'(0(1(3(2(2(2(1(2(3(3(0(3(0(0(0(3(2(z0)))))))))))))))))), 0'(1(3(2(2(2(1(2(3(3(0(3(0(0(0(3(2(z0))))))))))))))))), 1'(3(2(2(2(1(2(3(3(0(3(0(0(0(3(2(z0)))))))))))))))), 3'(2(2(2(1(2(3(3(0(3(0(0(0(3(2(z0))))))))))))))), 2'(2(2(1(2(3(3(0(3(0(0(0(3(2(z0)))))))))))))), 2'(2(1(2(3(3(0(3(0(0(0(3(2(z0))))))))))))), 2'(1(2(3(3(0(3(0(0(0(3(2(z0)))))))))))), 1'(2(3(3(0(3(0(0(0(3(2(z0))))))))))), 2'(3(3(0(3(0(0(0(3(2(z0)))))))))), 3'(3(0(3(0(0(0(3(2(z0))))))))), 3'(0(3(0(0(0(3(2(z0)))))))), 0'(3(0(0(0(3(2(z0))))))), 3'(0(0(0(3(2(z0)))))), 0'(0(0(3(2(z0))))), 0'(0(3(2(z0)))), 0'(3(2(z0))), 3'(2(z0)), 2'(z0))
   3'(c_0(c_2(c_2(c_3(c_2(c_2(c_3(c_2(c_2(c_3(c_3(c_2(c_0(c_1(c_3(c_2(c_3(z0)))))))))))))))))) -> c82(0'(3(3(2(1(3(3(2(2(3(2(2(2(0(3(2(2(3(z0)))))))))))))))))), 3'(3(2(1(3(3(2(2(3(2(2(2(0(3(2(2(3(z0))))))))))))))))), 3'(2(1(3(3(2(2(3(2(2(2(0(3(2(2(3(z0)))))))))))))))), 2'(1(3(3(2(2(3(2(2(2(0(3(2(2(3(z0))))))))))))))), 1'(3(3(2(2(3(2(2(2(0(3(2(2(3(z0)))))))))))))), 3'(3(2(2(3(2(2(2(0(3(2(2(3(z0))))))))))))), 3'(2(2(3(2(2(2(0(3(2(2(3(z0)))))))))))), 2'(2(3(2(2(2(0(3(2(2(3(z0))))))))))), 2'(3(2(2(2(0(3(2(2(3(z0)))))))))), 3'(2(2(2(0(3(2(2(3(z0))))))))), 2'(2(2(0(3(2(2(3(z0)))))))), 2'(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))
   3'(c_0(c_1(c_2(c_1(c_0(c_2(c_1(c_1(c_3(c_0(c_1(c_2(c_3(c_1(c_1(c_1(c_1(z0)))))))))))))))))) -> c83(3'(3(1(1(1(0(1(2(1(1(1(2(2(3(0(1(0(1(z0)))))))))))))))))), 3'(1(1(1(0(1(2(1(1(1(2(2(3(0(1(0(1(z0))))))))))))))))), 1'(1(1(0(1(2(1(1(1(2(2(3(0(1(0(1(z0)))))))))))))))), 1'(1(0(1(2(1(1(1(2(2(3(0(1(0(1(z0))))))))))))))), 1'(0(1(2(1(1(1(2(2(3(0(1(0(1(z0)))))))))))))), 0'(1(2(1(1(1(2(2(3(0(1(0(1(z0))))))))))))), 1'(2(1(1(1(2(2(3(0(1(0(1(z0)))))))))))), 2'(1(1(1(2(2(3(0(1(0(1(z0))))))))))), 1'(1(1(2(2(3(0(1(0(1(z0)))))))))), 1'(1(2(2(3(0(1(0(1(z0))))))))), 1'(2(2(3(0(1(0(1(z0)))))))), 2'(2(3(0(1(0(1(z0))))))), 2'(3(0(1(0(1(z0)))))), 3'(0(1(0(1(z0))))), 0'(1(0(1(z0)))), 1'(0(1(z0))), 0'(1(z0)), 1'(z0))
   3'(c_3(c_2(c_1(c_3(c_0(c_0(c_1(c_3(c_2(c_0(c_0(c_2(c_3(c_3(c_0(c_0(c_2(z0)))))))))))))))))) -> c84(3'(0(0(3(0(3(0(1(2(0(3(1(3(0(3(2(2(2(z0)))))))))))))))))), 0'(0(3(0(3(0(1(2(0(3(1(3(0(3(2(2(2(z0))))))))))))))))), 0'(3(0(3(0(1(2(0(3(1(3(0(3(2(2(2(z0)))))))))))))))), 3'(0(3(0(1(2(0(3(1(3(0(3(2(2(2(z0))))))))))))))), 0'(3(0(1(2(0(3(1(3(0(3(2(2(2(z0)))))))))))))), 3'(0(1(2(0(3(1(3(0(3(2(2(2(z0))))))))))))), 0'(1(2(0(3(1(3(0(3(2(2(2(z0)))))))))))), 1'(2(0(3(1(3(0(3(2(2(2(z0))))))))))), 2'(0(3(1(3(0(3(2(2(2(z0)))))))))), 0'(3(1(3(0(3(2(2(2(z0))))))))), 3'(1(3(0(3(2(2(2(z0)))))))), 1'(3(0(3(2(2(2(z0))))))), 3'(0(3(2(2(2(z0)))))), 0'(3(2(2(2(z0))))), 3'(2(2(2(z0)))), 2'(2(2(z0))), 2'(2(z0)), 2'(z0))
   3'(c_3(c_0(c_2(c_0(c_2(c_0(c_1(c_2(c_0(c_2(c_3(c_0(c_2(c_2(c_0(c_3(c_3(z0)))))))))))))))))) -> c85(3'(2(0(3(2(0(0(0(3(0(3(2(2(2(1(2(0(3(z0)))))))))))))))))), 2'(0(3(2(0(0(0(3(0(3(2(2(2(1(2(0(3(z0))))))))))))))))), 0'(3(2(0(0(0(3(0(3(2(2(2(1(2(0(3(z0)))))))))))))))), 3'(2(0(0(0(3(0(3(2(2(2(1(2(0(3(z0))))))))))))))), 2'(0(0(0(3(0(3(2(2(2(1(2(0(3(z0)))))))))))))), 0'(0(0(3(0(3(2(2(2(1(2(0(3(z0))))))))))))), 0'(0(3(0(3(2(2(2(1(2(0(3(z0)))))))))))), 0'(3(0(3(2(2(2(1(2(0(3(z0))))))))))), 3'(0(3(2(2(2(1(2(0(3(z0)))))))))), 0'(3(2(2(2(1(2(0(3(z0))))))))), 3'(2(2(2(1(2(0(3(z0)))))))), 2'(2(2(1(2(0(3(z0))))))), 2'(2(1(2(0(3(z0)))))), 2'(1(2(0(3(z0))))), 1'(2(0(3(z0)))), 2'(0(3(z0))), 0'(3(z0)), 3'(z0))
   3'(c_2(c_2(c_1(c_2(c_2(c_3(c_1(c_1(c_2(c_0(c_1(c_3(c_1(c_2(c_2(c_1(c_1(z0)))))))))))))))))) -> c86(3'(1(1(1(2(2(1(3(2(3(2(2(1(1(2(0(2(1(z0)))))))))))))))))), 1'(1(1(2(2(1(3(2(3(2(2(1(1(2(0(2(1(z0))))))))))))))))), 1'(1(2(2(1(3(2(3(2(2(1(1(2(0(2(1(z0)))))))))))))))), 1'(2(2(1(3(2(3(2(2(1(1(2(0(2(1(z0))))))))))))))), 2'(2(1(3(2(3(2(2(1(1(2(0(2(1(z0)))))))))))))), 2'(1(3(2(3(2(2(1(1(2(0(2(1(z0))))))))))))), 1'(3(2(3(2(2(1(1(2(0(2(1(z0)))))))))))), 3'(2(3(2(2(1(1(2(0(2(1(z0))))))))))), 2'(3(2(2(1(1(2(0(2(1(z0)))))))))), 3'(2(2(1(1(2(0(2(1(z0))))))))), 2'(2(1(1(2(0(2(1(z0)))))))), 2'(1(1(2(0(2(1(z0))))))), 1'(1(2(0(2(1(z0)))))), 1'(2(0(2(1(z0))))), 2'(0(2(1(z0)))), 0'(2(1(z0))), 2'(1(z0)), 1'(z0))
   3'(c_2(c_2(c_2(c_3(c_2(c_3(c_0(c_1(c_3(c_2(c_1(c_3(c_2(c_3(c_0(c_2(c_1(z0)))))))))))))))))) -> c87(0'(0(3(3(2(1(2(1(3(3(3(3(2(2(2(2(2(1(z0)))))))))))))))))), 0'(3(3(2(1(2(1(3(3(3(3(2(2(2(2(2(1(z0))))))))))))))))), 3'(3(2(1(2(1(3(3(3(3(2(2(2(2(2(1(z0)))))))))))))))), 3'(2(1(2(1(3(3(3(3(2(2(2(2(2(1(z0))))))))))))))), 2'(1(2(1(3(3(3(3(2(2(2(2(2(1(z0)))))))))))))), 1'(2(1(3(3(3(3(2(2(2(2(2(1(z0))))))))))))), 2'(1(3(3(3(3(2(2(2(2(2(1(z0)))))))))))), 1'(3(3(3(3(2(2(2(2(2(1(z0))))))))))), 3'(3(3(3(2(2(2(2(2(1(z0)))))))))), 3'(3(3(2(2(2(2(2(1(z0))))))))), 3'(3(2(2(2(2(2(1(z0)))))))), 3'(2(2(2(2(2(1(z0))))))), 2'(2(2(2(2(1(z0)))))), 2'(2(2(2(1(z0))))), 2'(2(2(1(z0)))), 2'(2(1(z0))), 2'(1(z0)), 1'(z0))
   3'(c_1(c_3(c_2(c_1(c_1(c_3(c_1(c_2(c_2(c_1(c_3(c_2(c_3(c_1(c_0(c_3(c_1(z0)))))))))))))))))) -> c88(3'(1(3(3(1(2(0(1(1(2(2(1(3(3(2(3(1(1(z0)))))))))))))))))), 1'(3(3(1(2(0(1(1(2(2(1(3(3(2(3(1(1(z0))))))))))))))))), 3'(3(1(2(0(1(1(2(2(1(3(3(2(3(1(1(z0)))))))))))))))), 3'(1(2(0(1(1(2(2(1(3(3(2(3(1(1(z0))))))))))))))), 1'(2(0(1(1(2(2(1(3(3(2(3(1(1(z0)))))))))))))), 2'(0(1(1(2(2(1(3(3(2(3(1(1(z0))))))))))))), 0'(1(1(2(2(1(3(3(2(3(1(1(z0)))))))))))), 1'(1(2(2(1(3(3(2(3(1(1(z0))))))))))), 1'(2(2(1(3(3(2(3(1(1(z0)))))))))), 2'(2(1(3(3(2(3(1(1(z0))))))))), 2'(1(3(3(2(3(1(1(z0)))))))), 1'(3(3(2(3(1(1(z0))))))), 3'(3(2(3(1(1(z0)))))), 3'(2(3(1(1(z0))))), 2'(3(1(1(z0)))), 3'(1(1(z0))), 1'(1(z0)), 1'(z0))
   3'(c_2(c_1(c_3(c_1(c_2(c_2(c_2(c_3(c_3(c_0(c_2(c_1(c_3(c_0(c_2(c_0(c_2(z0)))))))))))))))))) -> c89(3'(3(3(2(3(2(2(0(2(2(1(0(3(2(1(2(1(0(z0)))))))))))))))))), 3'(3(2(3(2(2(0(2(2(1(0(3(2(1(2(1(0(z0))))))))))))))))), 3'(2(3(2(2(0(2(2(1(0(3(2(1(2(1(0(z0)))))))))))))))), 2'(3(2(2(0(2(2(1(0(3(2(1(2(1(0(z0))))))))))))))), 3'(2(2(0(2(2(1(0(3(2(1(2(1(0(z0)))))))))))))), 2'(2(0(2(2(1(0(3(2(1(2(1(0(z0))))))))))))), 2'(0(2(2(1(0(3(2(1(2(1(0(z0)))))))))))), 0'(2(2(1(0(3(2(1(2(1(0(z0))))))))))), 2'(2(1(0(3(2(1(2(1(0(z0)))))))))), 2'(1(0(3(2(1(2(1(0(z0))))))))), 1'(0(3(2(1(2(1(0(z0)))))))), 0'(3(2(1(2(1(0(z0))))))), 3'(2(1(2(1(0(z0)))))), 2'(1(2(1(0(z0))))), 1'(2(1(0(z0)))), 2'(1(0(z0))), 1'(0(z0)), 0'(z0))
   3'(c_1(c_0(c_0(c_3(c_0(c_0(c_0(c_0(c_1(c_2(c_0(c_2(c_0(c_2(c_0(c_0(c_1(z0)))))))))))))))))) -> c90(3'(0(0(0(0(0(2(0(0(0(0(3(0(2(1(1(2(1(z0)))))))))))))))))), 0'(0(0(0(0(2(0(0(0(0(3(0(2(1(1(2(1(z0))))))))))))))))), 0'(0(0(0(2(0(0(0(0(3(0(2(1(1(2(1(z0)))))))))))))))), 0'(0(0(2(0(0(0(0(3(0(2(1(1(2(1(z0))))))))))))))), 0'(0(2(0(0(0(0(3(0(2(1(1(2(1(z0)))))))))))))), 0'(2(0(0(0(0(3(0(2(1(1(2(1(z0))))))))))))), 2'(0(0(0(0(3(0(2(1(1(2(1(z0)))))))))))), 0'(0(0(0(3(0(2(1(1(2(1(z0))))))))))), 0'(0(0(3(0(2(1(1(2(1(z0)))))))))), 0'(0(3(0(2(1(1(2(1(z0))))))))), 0'(3(0(2(1(1(2(1(z0)))))))), 3'(0(2(1(1(2(1(z0))))))), 0'(2(1(1(2(1(z0)))))), 2'(1(1(2(1(z0))))), 1'(1(2(1(z0)))), 1'(2(1(z0))), 2'(1(z0)), 1'(z0))
   3'(c_3(c_0(c_3(c_1(c_0(c_0(c_2(c_2(c_2(c_0(c_0(c_0(c_2(c_2(c_1(c_3(c_2(z0)))))))))))))))))) -> c91(0'(3(2(0(3(3(1(2(1(2(2(0(3(0(0(0(2(2(z0)))))))))))))))))), 3'(2(0(3(3(1(2(1(2(2(0(3(0(0(0(2(2(z0))))))))))))))))), 2'(0(3(3(1(2(1(2(2(0(3(0(0(0(2(2(z0)))))))))))))))), 0'(3(3(1(2(1(2(2(0(3(0(0(0(2(2(z0))))))))))))))), 3'(3(1(2(1(2(2(0(3(0(0(0(2(2(z0)))))))))))))), 3'(1(2(1(2(2(0(3(0(0(0(2(2(z0))))))))))))), 1'(2(1(2(2(0(3(0(0(0(2(2(z0)))))))))))), 2'(1(2(2(0(3(0(0(0(2(2(z0))))))))))), 1'(2(2(0(3(0(0(0(2(2(z0)))))))))), 2'(2(0(3(0(0(0(2(2(z0))))))))), 2'(0(3(0(0(0(2(2(z0)))))))), 0'(3(0(0(0(2(2(z0))))))), 3'(0(0(0(2(2(z0)))))), 0'(0(0(2(2(z0))))), 0'(0(2(2(z0)))), 0'(2(2(z0))), 2'(2(z0)), 2'(z0))
   ENCODE_0(z0) -> c8(0'(encArg(z0)))
   ENCODE_0(z0) -> c8(ENCARG(z0))
   ENCODE_1(z0) -> c8(1'(encArg(z0)))
   ENCODE_1(z0) -> c8(ENCARG(z0))
   ENCODE_3(z0) -> c8(3'(encArg(z0)))
   ENCODE_3(z0) -> c8(ENCARG(z0))
   ENCODE_2(z0) -> c8(2'(encArg(z0)))
   ENCODE_2(z0) -> c8(ENCARG(z0))
S tuples:
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   0'(c_1(c_0(c_2(c_2(c_1(c_2(c_1(c_3(c_1(c_1(c_2(c_0(c_1(c_2(c_0(c_1(c_0(z0)))))))))))))))))) -> c13(2'(0(0(3(1(2(2(1(2(0(1(0(1(2(1(1(1(0(z0)))))))))))))))))), 0'(0(3(1(2(2(1(2(0(1(0(1(2(1(1(1(0(z0))))))))))))))))), 0'(3(1(2(2(1(2(0(1(0(1(2(1(1(1(0(z0)))))))))))))))), 3'(1(2(2(1(2(0(1(0(1(2(1(1(1(0(z0))))))))))))))), 1'(2(2(1(2(0(1(0(1(2(1(1(1(0(z0)))))))))))))), 2'(2(1(2(0(1(0(1(2(1(1(1(0(z0))))))))))))), 2'(1(2(0(1(0(1(2(1(1(1(0(z0)))))))))))), 1'(2(0(1(0(1(2(1(1(1(0(z0))))))))))), 2'(0(1(0(1(2(1(1(1(0(z0)))))))))), 0'(1(0(1(2(1(1(1(0(z0))))))))), 1'(0(1(2(1(1(1(0(z0)))))))), 0'(1(2(1(1(1(0(z0))))))), 1'(2(1(1(1(0(z0)))))), 2'(1(1(1(0(z0))))), 1'(1(1(0(z0)))), 1'(1(0(z0))), 1'(0(z0)), 0'(z0))
   0'(c_2(c_1(c_0(c_2(c_0(c_3(c_0(c_1(c_0(c_2(c_0(c_2(c_0(c_1(c_2(c_0(c_3(z0)))))))))))))))))) -> c14(0'(2(1(2(0(2(1(2(0(3(0(0(3(2(1(0(0(0(z0)))))))))))))))))), 2'(1(2(0(2(1(2(0(3(0(0(3(2(1(0(0(0(z0))))))))))))))))), 1'(2(0(2(1(2(0(3(0(0(3(2(1(0(0(0(z0)))))))))))))))), 2'(0(2(1(2(0(3(0(0(3(2(1(0(0(0(z0))))))))))))))), 0'(2(1(2(0(3(0(0(3(2(1(0(0(0(z0)))))))))))))), 2'(1(2(0(3(0(0(3(2(1(0(0(0(z0))))))))))))), 1'(2(0(3(0(0(3(2(1(0(0(0(z0)))))))))))), 2'(0(3(0(0(3(2(1(0(0(0(z0))))))))))), 0'(3(0(0(3(2(1(0(0(0(z0)))))))))), 3'(0(0(3(2(1(0(0(0(z0))))))))), 0'(0(3(2(1(0(0(0(z0)))))))), 0'(3(2(1(0(0(0(z0))))))), 3'(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))
   0'(c_1(c_2(c_3(c_3(c_3(c_1(c_3(c_3(c_3(c_2(c_3(c_1(c_2(c_0(c_1(c_3(c_1(z0)))))))))))))))))) -> c15(2'(3(0(3(3(3(1(1(3(0(3(1(3(2(3(1(2(1(z0)))))))))))))))))), 3'(0(3(3(3(1(1(3(0(3(1(3(2(3(1(2(1(z0))))))))))))))))), 0'(3(3(3(1(1(3(0(3(1(3(2(3(1(2(1(z0)))))))))))))))), 3'(3(3(1(1(3(0(3(1(3(2(3(1(2(1(z0))))))))))))))), 3'(3(1(1(3(0(3(1(3(2(3(1(2(1(z0)))))))))))))), 3'(1(1(3(0(3(1(3(2(3(1(2(1(z0))))))))))))), 1'(1(3(0(3(1(3(2(3(1(2(1(z0)))))))))))), 1'(3(0(3(1(3(2(3(1(2(1(z0))))))))))), 3'(0(3(1(3(2(3(1(2(1(z0)))))))))), 0'(3(1(3(2(3(1(2(1(z0))))))))), 3'(1(3(2(3(1(2(1(z0)))))))), 1'(3(2(3(1(2(1(z0))))))), 3'(2(3(1(2(1(z0)))))), 2'(3(1(2(1(z0))))), 3'(1(2(1(z0)))), 1'(2(1(z0))), 2'(1(z0)), 1'(z0))
   0'(c_1(c_1(c_1(c_3(c_0(c_1(c_3(c_1(c_2(c_0(c_2(c_1(c_2(c_2(c_0(c_3(c_0(z0)))))))))))))))))) -> c16(3'(0(3(2(2(1(1(1(2(0(1(1(2(1(3(0(0(0(z0)))))))))))))))))), 0'(3(2(2(1(1(1(2(0(1(1(2(1(3(0(0(0(z0))))))))))))))))), 3'(2(2(1(1(1(2(0(1(1(2(1(3(0(0(0(z0)))))))))))))))), 2'(2(1(1(1(2(0(1(1(2(1(3(0(0(0(z0))))))))))))))), 2'(1(1(1(2(0(1(1(2(1(3(0(0(0(z0)))))))))))))), 1'(1(1(2(0(1(1(2(1(3(0(0(0(z0))))))))))))), 1'(1(2(0(1(1(2(1(3(0(0(0(z0)))))))))))), 1'(2(0(1(1(2(1(3(0(0(0(z0))))))))))), 2'(0(1(1(2(1(3(0(0(0(z0)))))))))), 0'(1(1(2(1(3(0(0(0(z0))))))))), 1'(1(2(1(3(0(0(0(z0)))))))), 1'(2(1(3(0(0(0(z0))))))), 2'(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_1(c_3(c_2(c_3(c_1(c_1(c_3(c_2(c_2(c_0(c_0(c_1(c_3(c_2(c_3(c_3(c_3(z0)))))))))))))))))) -> c17(2'(3(0(3(3(3(1(0(0(1(2(1(3(2(3(2(1(3(z0)))))))))))))))))), 3'(0(3(3(3(1(0(0(1(2(1(3(2(3(2(1(3(z0))))))))))))))))), 0'(3(3(3(1(0(0(1(2(1(3(2(3(2(1(3(z0)))))))))))))))), 3'(3(3(1(0(0(1(2(1(3(2(3(2(1(3(z0))))))))))))))), 3'(3(1(0(0(1(2(1(3(2(3(2(1(3(z0)))))))))))))), 3'(1(0(0(1(2(1(3(2(3(2(1(3(z0))))))))))))), 1'(0(0(1(2(1(3(2(3(2(1(3(z0)))))))))))), 0'(0(1(2(1(3(2(3(2(1(3(z0))))))))))), 0'(1(2(1(3(2(3(2(1(3(z0)))))))))), 1'(2(1(3(2(3(2(1(3(z0))))))))), 2'(1(3(2(3(2(1(3(z0)))))))), 1'(3(2(3(2(1(3(z0))))))), 3'(2(3(2(1(3(z0)))))), 2'(3(2(1(3(z0))))), 3'(2(1(3(z0)))), 2'(1(3(z0))), 1'(3(z0)), 3'(z0))
   0'(c_1(c_0(c_0(c_2(c_2(c_2(c_3(c_2(c_1(c_3(c_2(c_3(c_3(c_1(c_0(c_1(c_0(z0)))))))))))))))))) -> c18(0'(1(2(3(0(3(3(0(2(0(1(0(2(1(3(2(1(2(z0)))))))))))))))))), 1'(2(3(0(3(3(0(2(0(1(0(2(1(3(2(1(2(z0))))))))))))))))), 2'(3(0(3(3(0(2(0(1(0(2(1(3(2(1(2(z0)))))))))))))))), 3'(0(3(3(0(2(0(1(0(2(1(3(2(1(2(z0))))))))))))))), 0'(3(3(0(2(0(1(0(2(1(3(2(1(2(z0)))))))))))))), 3'(3(0(2(0(1(0(2(1(3(2(1(2(z0))))))))))))), 3'(0(2(0(1(0(2(1(3(2(1(2(z0)))))))))))), 0'(2(0(1(0(2(1(3(2(1(2(z0))))))))))), 2'(0(1(0(2(1(3(2(1(2(z0)))))))))), 0'(1(0(2(1(3(2(1(2(z0))))))))), 1'(0(2(1(3(2(1(2(z0)))))))), 0'(2(1(3(2(1(2(z0))))))), 2'(1(3(2(1(2(z0)))))), 1'(3(2(1(2(z0))))), 3'(2(1(2(z0)))), 2'(1(2(z0))), 1'(2(z0)), 2'(z0))
   0'(c_3(c_2(c_3(c_1(c_0(c_0(c_1(c_0(c_0(c_1(c_2(c_3(c_2(c_1(c_1(c_0(c_1(z0)))))))))))))))))) -> c19(3'(0(0(3(1(1(0(0(2(1(2(2(0(1(1(0(3(1(z0)))))))))))))))))), 0'(0(3(1(1(0(0(2(1(2(2(0(1(1(0(3(1(z0))))))))))))))))), 0'(3(1(1(0(0(2(1(2(2(0(1(1(0(3(1(z0)))))))))))))))), 3'(1(1(0(0(2(1(2(2(0(1(1(0(3(1(z0))))))))))))))), 1'(1(0(0(2(1(2(2(0(1(1(0(3(1(z0)))))))))))))), 1'(0(0(2(1(2(2(0(1(1(0(3(1(z0))))))))))))), 0'(0(2(1(2(2(0(1(1(0(3(1(z0)))))))))))), 0'(2(1(2(2(0(1(1(0(3(1(z0))))))))))), 2'(1(2(2(0(1(1(0(3(1(z0)))))))))), 1'(2(2(0(1(1(0(3(1(z0))))))))), 2'(2(0(1(1(0(3(1(z0)))))))), 2'(0(1(1(0(3(1(z0))))))), 0'(1(1(0(3(1(z0)))))), 1'(1(0(3(1(z0))))), 1'(0(3(1(z0)))), 0'(3(1(z0))), 3'(1(z0)), 1'(z0))
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   3'(c_0(c_3(c_2(c_2(c_0(c_2(c_0(c_0(c_0(c_1(c_3(c_2(c_3(c_3(c_0(c_3(c_0(z0)))))))))))))))))) -> c79(3'(0(2(0(1(2(2(0(3(0(2(0(3(0(3(3(3(0(z0)))))))))))))))))), 0'(2(0(1(2(2(0(3(0(2(0(3(0(3(3(3(0(z0))))))))))))))))), 2'(0(1(2(2(0(3(0(2(0(3(0(3(3(3(0(z0)))))))))))))))), 0'(1(2(2(0(3(0(2(0(3(0(3(3(3(0(z0))))))))))))))), 1'(2(2(0(3(0(2(0(3(0(3(3(3(0(z0)))))))))))))), 2'(2(0(3(0(2(0(3(0(3(3(3(0(z0))))))))))))), 2'(0(3(0(2(0(3(0(3(3(3(0(z0)))))))))))), 0'(3(0(2(0(3(0(3(3(3(0(z0))))))))))), 3'(0(2(0(3(0(3(3(3(0(z0)))))))))), 0'(2(0(3(0(3(3(3(0(z0))))))))), 2'(0(3(0(3(3(3(0(z0)))))))), 0'(3(0(3(3(3(0(z0))))))), 3'(0(3(3(3(0(z0)))))), 0'(3(3(3(0(z0))))), 3'(3(3(0(z0)))), 3'(3(0(z0))), 3'(0(z0)), 0'(z0))
   3'(c_0(c_2(c_2(c_0(c_1(c_2(c_0(c_0(c_2(c_0(c_2(c_2(c_2(c_3(c_1(c_0(c_2(z0)))))))))))))))))) -> c80(0'(2(1(2(2(3(0(0(3(2(2(1(2(0(2(0(0(2(z0)))))))))))))))))), 2'(1(2(2(3(0(0(3(2(2(1(2(0(2(0(0(2(z0))))))))))))))))), 1'(2(2(3(0(0(3(2(2(1(2(0(2(0(0(2(z0)))))))))))))))), 2'(2(3(0(0(3(2(2(1(2(0(2(0(0(2(z0))))))))))))))), 2'(3(0(0(3(2(2(1(2(0(2(0(0(2(z0)))))))))))))), 3'(0(0(3(2(2(1(2(0(2(0(0(2(z0))))))))))))), 0'(0(3(2(2(1(2(0(2(0(0(2(z0)))))))))))), 0'(3(2(2(1(2(0(2(0(0(2(z0))))))))))), 3'(2(2(1(2(0(2(0(0(2(z0)))))))))), 2'(2(1(2(0(2(0(0(2(z0))))))))), 2'(1(2(0(2(0(0(2(z0)))))))), 1'(2(0(2(0(0(2(z0))))))), 2'(0(2(0(0(2(z0)))))), 0'(2(0(0(2(z0))))), 2'(0(0(2(z0)))), 0'(0(2(z0))), 0'(2(z0)), 2'(z0))
   3'(c_3(c_2(c_1(c_3(c_2(c_0(c_2(c_0(c_0(c_3(c_1(c_3(c_0(c_2(c_0(c_2(c_2(z0)))))))))))))))))) -> c81(2'(0(1(3(2(2(2(1(2(3(3(0(3(0(0(0(3(2(z0)))))))))))))))))), 0'(1(3(2(2(2(1(2(3(3(0(3(0(0(0(3(2(z0))))))))))))))))), 1'(3(2(2(2(1(2(3(3(0(3(0(0(0(3(2(z0)))))))))))))))), 3'(2(2(2(1(2(3(3(0(3(0(0(0(3(2(z0))))))))))))))), 2'(2(2(1(2(3(3(0(3(0(0(0(3(2(z0)))))))))))))), 2'(2(1(2(3(3(0(3(0(0(0(3(2(z0))))))))))))), 2'(1(2(3(3(0(3(0(0(0(3(2(z0)))))))))))), 1'(2(3(3(0(3(0(0(0(3(2(z0))))))))))), 2'(3(3(0(3(0(0(0(3(2(z0)))))))))), 3'(3(0(3(0(0(0(3(2(z0))))))))), 3'(0(3(0(0(0(3(2(z0)))))))), 0'(3(0(0(0(3(2(z0))))))), 3'(0(0(0(3(2(z0)))))), 0'(0(0(3(2(z0))))), 0'(0(3(2(z0)))), 0'(3(2(z0))), 3'(2(z0)), 2'(z0))
   3'(c_0(c_2(c_2(c_3(c_2(c_2(c_3(c_2(c_2(c_3(c_3(c_2(c_0(c_1(c_3(c_2(c_3(z0)))))))))))))))))) -> c82(0'(3(3(2(1(3(3(2(2(3(2(2(2(0(3(2(2(3(z0)))))))))))))))))), 3'(3(2(1(3(3(2(2(3(2(2(2(0(3(2(2(3(z0))))))))))))))))), 3'(2(1(3(3(2(2(3(2(2(2(0(3(2(2(3(z0)))))))))))))))), 2'(1(3(3(2(2(3(2(2(2(0(3(2(2(3(z0))))))))))))))), 1'(3(3(2(2(3(2(2(2(0(3(2(2(3(z0)))))))))))))), 3'(3(2(2(3(2(2(2(0(3(2(2(3(z0))))))))))))), 3'(2(2(3(2(2(2(0(3(2(2(3(z0)))))))))))), 2'(2(3(2(2(2(0(3(2(2(3(z0))))))))))), 2'(3(2(2(2(0(3(2(2(3(z0)))))))))), 3'(2(2(2(0(3(2(2(3(z0))))))))), 2'(2(2(0(3(2(2(3(z0)))))))), 2'(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))
   3'(c_0(c_1(c_2(c_1(c_0(c_2(c_1(c_1(c_3(c_0(c_1(c_2(c_3(c_1(c_1(c_1(c_1(z0)))))))))))))))))) -> c83(3'(3(1(1(1(0(1(2(1(1(1(2(2(3(0(1(0(1(z0)))))))))))))))))), 3'(1(1(1(0(1(2(1(1(1(2(2(3(0(1(0(1(z0))))))))))))))))), 1'(1(1(0(1(2(1(1(1(2(2(3(0(1(0(1(z0)))))))))))))))), 1'(1(0(1(2(1(1(1(2(2(3(0(1(0(1(z0))))))))))))))), 1'(0(1(2(1(1(1(2(2(3(0(1(0(1(z0)))))))))))))), 0'(1(2(1(1(1(2(2(3(0(1(0(1(z0))))))))))))), 1'(2(1(1(1(2(2(3(0(1(0(1(z0)))))))))))), 2'(1(1(1(2(2(3(0(1(0(1(z0))))))))))), 1'(1(1(2(2(3(0(1(0(1(z0)))))))))), 1'(1(2(2(3(0(1(0(1(z0))))))))), 1'(2(2(3(0(1(0(1(z0)))))))), 2'(2(3(0(1(0(1(z0))))))), 2'(3(0(1(0(1(z0)))))), 3'(0(1(0(1(z0))))), 0'(1(0(1(z0)))), 1'(0(1(z0))), 0'(1(z0)), 1'(z0))
   3'(c_3(c_2(c_1(c_3(c_0(c_0(c_1(c_3(c_2(c_0(c_0(c_2(c_3(c_3(c_0(c_0(c_2(z0)))))))))))))))))) -> c84(3'(0(0(3(0(3(0(1(2(0(3(1(3(0(3(2(2(2(z0)))))))))))))))))), 0'(0(3(0(3(0(1(2(0(3(1(3(0(3(2(2(2(z0))))))))))))))))), 0'(3(0(3(0(1(2(0(3(1(3(0(3(2(2(2(z0)))))))))))))))), 3'(0(3(0(1(2(0(3(1(3(0(3(2(2(2(z0))))))))))))))), 0'(3(0(1(2(0(3(1(3(0(3(2(2(2(z0)))))))))))))), 3'(0(1(2(0(3(1(3(0(3(2(2(2(z0))))))))))))), 0'(1(2(0(3(1(3(0(3(2(2(2(z0)))))))))))), 1'(2(0(3(1(3(0(3(2(2(2(z0))))))))))), 2'(0(3(1(3(0(3(2(2(2(z0)))))))))), 0'(3(1(3(0(3(2(2(2(z0))))))))), 3'(1(3(0(3(2(2(2(z0)))))))), 1'(3(0(3(2(2(2(z0))))))), 3'(0(3(2(2(2(z0)))))), 0'(3(2(2(2(z0))))), 3'(2(2(2(z0)))), 2'(2(2(z0))), 2'(2(z0)), 2'(z0))
   3'(c_3(c_0(c_2(c_0(c_2(c_0(c_1(c_2(c_0(c_2(c_3(c_0(c_2(c_2(c_0(c_3(c_3(z0)))))))))))))))))) -> c85(3'(2(0(3(2(0(0(0(3(0(3(2(2(2(1(2(0(3(z0)))))))))))))))))), 2'(0(3(2(0(0(0(3(0(3(2(2(2(1(2(0(3(z0))))))))))))))))), 0'(3(2(0(0(0(3(0(3(2(2(2(1(2(0(3(z0)))))))))))))))), 3'(2(0(0(0(3(0(3(2(2(2(1(2(0(3(z0))))))))))))))), 2'(0(0(0(3(0(3(2(2(2(1(2(0(3(z0)))))))))))))), 0'(0(0(3(0(3(2(2(2(1(2(0(3(z0))))))))))))), 0'(0(3(0(3(2(2(2(1(2(0(3(z0)))))))))))), 0'(3(0(3(2(2(2(1(2(0(3(z0))))))))))), 3'(0(3(2(2(2(1(2(0(3(z0)))))))))), 0'(3(2(2(2(1(2(0(3(z0))))))))), 3'(2(2(2(1(2(0(3(z0)))))))), 2'(2(2(1(2(0(3(z0))))))), 2'(2(1(2(0(3(z0)))))), 2'(1(2(0(3(z0))))), 1'(2(0(3(z0)))), 2'(0(3(z0))), 0'(3(z0)), 3'(z0))
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K tuples:none
Defined Rule Symbols:   2_1, 3_1, 0_1, 1_1, encArg_1, encode_0_1, encode_1_1, encode_3_1, encode_2_1

Defined Pair Symbols:   ENCARG_1, 0'_1, 1'_1, 2'_1, 3'_1, ENCODE_0_1, ENCODE_1_1, ENCODE_3_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, c30_18, c31_18, c32_18, c33_18, c34_18, c35_18, c36_18, c37_18, c38_18, c39_18, c40_18, c41_18, c42_18, c44_18, c45_18, c46_18, c47_18, c48_18, c49_18, c50_18, c51_18, c52_18, c53_18, c54_18, c55_18, c56_18, c57_18, c58_18, c59_18, c60_18, c61_18, c62_18, c63_18, c64_18, c65_18, c67_18, c68_18, c69_18, c70_18, c71_18, c72_18, c73_18, c74_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_1(z0) -> c8(ENCARG(z0))
   ENCODE_3(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_1(z0) -> 1(encArg(z0))
   encode_3(z0) -> 3(encArg(z0))
   encode_2(z0) -> 2(encArg(z0))
   0(z0) -> c_0(z0)
   0(c_0(c_2(c_0(c_3(c_3(c_2(c_3(c_1(c_3(c_1(c_0(c_2(c_1(c_3(c_0(c_2(c_0(z0)))))))))))))))))) -> 0(0(1(1(3(0(3(3(1(2(0(2(3(0(2(2(0(3(z0))))))))))))))))))
   0(c_0(c_2(c_0(c_3(c_0(c_2(c_2(c_3(c_0(c_2(c_0(c_0(c_2(c_3(c_0(c_0(c_2(z0)))))))))))))))))) -> 0(0(3(2(2(0(2(0(0(0(2(2(0(3(0(0(3(2(z0))))))))))))))))))
   0(c_0(c_0(c_1(c_3(c_3(c_2(c_2(c_3(c_0(c_0(c_1(c_3(c_2(c_2(c_3(c_3(c_2(z0)))))))))))))))))) -> 3(0(2(3(0(3(0(3(0(0(1(2(3(3(1(2(2(2(z0))))))))))))))))))
   0(c_0(c_0(c_2(c_2(c_3(c_0(c_0(c_1(c_0(c_0(c_0(c_1(c_0(c_3(c_1(c_2(c_2(z0)))))))))))))))))) -> 0(0(0(3(2(0(1(3(0(2(1(0(0(1(2(0(0(2(z0))))))))))))))))))
   0(c_1(c_0(c_2(c_2(c_1(c_2(c_1(c_3(c_1(c_1(c_2(c_0(c_1(c_2(c_0(c_1(c_0(z0)))))))))))))))))) -> 2(0(0(3(1(2(2(1(2(0(1(0(1(2(1(1(1(0(z0))))))))))))))))))
   0(c_2(c_1(c_0(c_2(c_0(c_3(c_0(c_1(c_0(c_2(c_0(c_2(c_0(c_1(c_2(c_0(c_3(z0)))))))))))))))))) -> 0(2(1(2(0(2(1(2(0(3(0(0(3(2(1(0(0(0(z0))))))))))))))))))
   0(c_1(c_2(c_3(c_3(c_3(c_1(c_3(c_3(c_3(c_2(c_3(c_1(c_2(c_0(c_1(c_3(c_1(z0)))))))))))))))))) -> 2(3(0(3(3(3(1(1(3(0(3(1(3(2(3(1(2(1(z0))))))))))))))))))
   0(c_1(c_1(c_1(c_3(c_0(c_1(c_3(c_1(c_2(c_0(c_2(c_1(c_2(c_2(c_0(c_3(c_0(z0)))))))))))))))))) -> 3(0(3(2(2(1(1(1(2(0(1(1(2(1(3(0(0(0(z0))))))))))))))))))
   0(c_1(c_3(c_2(c_3(c_1(c_1(c_3(c_2(c_2(c_0(c_0(c_1(c_3(c_2(c_3(c_3(c_3(z0)))))))))))))))))) -> 2(3(0(3(3(3(1(0(0(1(2(1(3(2(3(2(1(3(z0))))))))))))))))))
   0(c_1(c_0(c_0(c_2(c_2(c_2(c_3(c_2(c_1(c_3(c_2(c_3(c_3(c_1(c_0(c_1(c_0(z0)))))))))))))))))) -> 0(1(2(3(0(3(3(0(2(0(1(0(2(1(3(2(1(2(z0))))))))))))))))))
   0(c_3(c_2(c_3(c_1(c_0(c_0(c_1(c_0(c_0(c_1(c_2(c_3(c_2(c_1(c_1(c_0(c_1(z0)))))))))))))))))) -> 3(0(0(3(1(1(0(0(2(1(2(2(0(1(1(0(3(1(z0))))))))))))))))))
   0(c_2(c_0(c_1(c_0(c_0(c_0(c_1(c_0(c_3(c_0(c_2(c_3(c_3(c_3(c_3(c_0(c_3(z0)))))))))))))))))) -> 0(3(0(0(0(3(3(2(0(1(1(0(2(3(0(0(3(3(z0))))))))))))))))))
   0(c_2(c_0(c_1(c_3(c_1(c_0(c_0(c_3(c_2(c_0(c_2(c_2(c_3(c_0(c_1(c_0(c_0(z0)))))))))))))))))) -> 1(0(0(3(2(1(2(2(2(0(0(3(1(0(0(0(3(0(z0))))))))))))))))))
   0(c_1(c_2(c_2(c_3(c_1(c_3(c_3(c_1(c_3(c_2(c_2(c_3(c_3(c_0(c_2(c_0(c_2(z0)))))))))))))))))) -> 0(1(2(3(0(3(3(3(3(2(2(1(2(0(2(3(1(2(z0))))))))))))))))))
   0(c_3(c_1(c_1(c_2(c_2(c_0(c_0(c_0(c_1(c_3(c_2(c_3(c_3(c_3(c_3(c_3(c_3(z0)))))))))))))))))) -> 3(0(3(2(3(3(0(0(3(2(1(1(0(3(1(2(3(3(z0))))))))))))))))))
   0(c_3(c_1(c_2(c_1(c_0(c_2(c_1(c_3(c_0(c_3(c_2(c_3(c_2(c_3(c_0(c_1(c_2(z0)))))))))))))))))) -> 3(0(2(3(0(3(1(2(1(2(3(0(3(1(0(2(1(2(z0))))))))))))))))))
   0(c_1(c_2(c_3(c_0(c_2(c_1(c_1(c_3(c_3(c_3(c_2(c_3(c_1(c_3(c_1(c_3(c_1(z0)))))))))))))))))) -> 2(1(3(2(3(1(1(3(3(0(3(3(0(3(2(1(1(1(z0))))))))))))))))))
   0(c_0(c_2(c_0(c_1(c_1(c_3(c_0(c_2(c_3(c_2(c_2(c_0(c_2(c_3(c_3(c_1(c_2(z0)))))))))))))))))) -> 0(0(3(2(1(0(0(3(1(3(0(3(2(2(1(2(2(2(z0))))))))))))))))))
   0(c_3(c_3(c_2(c_3(c_1(c_3(c_2(c_0(c_0(c_2(c_1(c_3(c_1(c_3(c_2(c_3(c_3(z0)))))))))))))))))) -> 3(2(2(3(2(0(1(2(1(3(1(3(0(3(0(3(3(3(z0))))))))))))))))))
   0(c_0(c_1(c_3(c_1(c_0(c_0(c_1(c_3(c_3(c_0(c_0(c_1(c_2(c_2(c_1(c_1(c_1(z0)))))))))))))))))) -> 3(3(0(2(0(0(0(0(1(0(2(1(3(1(1(1(1(1(z0))))))))))))))))))
   1(z0) -> c_1(z0)
   1(c_2(c_3(c_0(c_1(c_0(c_3(c_1(c_2(c_3(c_1(c_1(c_1(c_1(c_3(c_2(c_3(c_0(z0)))))))))))))))))) -> 1(1(2(1(1(3(0(3(3(2(1(2(0(3(1(1(3(0(z0))))))))))))))))))
   1(c_3(c_1(c_3(c_1(c_1(c_1(c_2(c_1(c_3(c_0(c_1(c_2(c_1(c_3(c_1(c_1(c_0(z0)))))))))))))))))) -> 1(0(1(1(1(3(3(2(3(0(1(2(1(1(1(1(1(3(z0))))))))))))))))))
   1(c_1(c_0(c_3(c_1(c_2(c_0(c_0(c_1(c_3(c_2(c_1(c_2(c_0(c_3(c_0(c_2(c_2(z0)))))))))))))))))) -> 1(1(2(2(3(2(1(0(0(3(2(3(0(0(0(1(1(2(z0))))))))))))))))))
   1(c_2(c_2(c_0(c_3(c_1(c_3(c_0(c_0(c_1(c_3(c_3(c_0(c_3(c_2(c_3(c_1(c_2(z0)))))))))))))))))) -> 1(0(2(3(3(3(3(0(2(0(3(1(0(3(1(2(1(2(z0))))))))))))))))))
   1(c_1(c_0(c_0(c_0(c_2(c_0(c_1(c_0(c_1(c_1(c_0(c_3(c_2(c_1(c_0(c_0(c_2(z0)))))))))))))))))) -> 1(1(2(1(1(0(0(2(3(0(0(0(0(1(1(0(0(2(z0))))))))))))))))))
   1(c_3(c_1(c_3(c_2(c_0(c_0(c_0(c_1(c_3(c_1(c_0(c_2(c_2(c_2(c_1(c_0(c_2(z0)))))))))))))))))) -> 1(0(1(1(2(2(0(3(3(0(1(0(1(2(2(3(0(2(z0))))))))))))))))))
   1(c_0(c_0(c_0(c_3(c_0(c_2(c_1(c_3(c_3(c_1(c_2(c_2(c_3(c_1(c_3(c_2(c_1(z0)))))))))))))))))) -> 1(2(1(3(3(0(3(0(3(1(0(2(2(3(1(0(2(1(z0))))))))))))))))))
   1(c_3(c_3(c_1(c_3(c_1(c_3(c_0(c_1(c_0(c_2(c_3(c_1(c_1(c_1(c_3(c_0(c_3(z0)))))))))))))))))) -> 1(1(1(2(1(3(0(0(3(3(3(0(1(1(3(3(1(3(z0))))))))))))))))))
   1(c_2(c_2(c_2(c_2(c_0(c_3(c_3(c_2(c_1(c_3(c_0(c_2(c_1(c_3(c_2(c_0(c_3(z0)))))))))))))))))) -> 1(2(2(1(2(1(2(0(2(3(2(2(0(0(3(3(3(3(z0))))))))))))))))))
   1(c_3(c_0(c_2(c_0(c_3(c_2(c_2(c_1(c_3(c_2(c_3(c_2(c_2(c_2(c_1(c_3(c_2(z0)))))))))))))))))) -> 1(3(2(1(2(2(3(3(3(2(1(3(2(0(0(2(2(2(z0))))))))))))))))))
   1(c_3(c_2(c_2(c_0(c_3(c_1(c_1(c_3(c_1(c_3(c_0(c_2(c_1(c_2(c_2(c_0(c_3(z0)))))))))))))))))) -> 1(1(2(1(0(1(2(3(3(0(3(0(3(2(2(1(2(3(z0))))))))))))))))))
   1(c_0(c_2(c_1(c_2(c_3(c_3(c_0(c_1(c_0(c_2(c_3(c_0(c_1(c_1(c_3(c_3(c_1(z0)))))))))))))))))) -> 1(2(1(1(1(3(0(3(0(3(1(0(3(2(2(0(3(1(z0))))))))))))))))))
   1(c_0(c_2(c_0(c_0(c_0(c_1(c_2(c_3(c_0(c_1(c_2(c_2(c_2(c_1(c_2(c_2(c_0(z0)))))))))))))))))) -> 1(2(2(0(0(1(1(0(0(2(2(2(2(1(2(0(0(3(z0))))))))))))))))))
   2(z0) -> c_2(z0)
   2(c_2(c_2(c_3(c_0(c_1(c_3(c_2(c_1(c_3(c_3(c_2(c_1(c_2(c_2(c_1(c_2(c_3(z0)))))))))))))))))) -> 2(2(2(1(1(2(3(2(3(2(2(0(3(1(2(1(3(3(z0))))))))))))))))))
   2(c_2(c_1(c_3(c_1(c_3(c_0(c_0(c_2(c_1(c_2(c_2(c_2(c_1(c_1(c_1(c_0(c_1(z0)))))))))))))))))) -> 0(2(2(3(3(1(1(2(0(2(1(1(2(1(0(1(2(1(z0))))))))))))))))))
   2(c_0(c_0(c_1(c_3(c_1(c_3(c_2(c_1(c_0(c_0(c_2(c_2(c_2(c_0(c_2(c_0(c_3(z0)))))))))))))))))) -> 0(2(2(2(0(2(1(0(0(3(0(0(1(2(2(1(3(3(z0))))))))))))))))))
   2(c_3(c_2(c_3(c_1(c_2(c_0(c_1(c_3(c_0(c_1(c_3(c_2(c_1(c_0(c_2(c_3(c_3(z0)))))))))))))))))) -> 0(3(1(0(2(2(1(2(2(1(3(3(3(1(0(2(3(3(z0))))))))))))))))))
   2(c_1(c_2(c_2(c_2(c_2(c_2(c_0(c_1(c_3(c_2(c_0(c_0(c_1(c_2(c_3(c_1(c_2(z0)))))))))))))))))) -> 2(1(2(2(1(0(0(3(3(0(1(2(2(2(2(2(1(2(z0))))))))))))))))))
   2(c_2(c_3(c_2(c_2(c_3(c_1(c_0(c_2(c_3(c_1(c_1(c_1(c_0(c_0(c_1(c_0(c_2(z0)))))))))))))))))) -> 0(2(1(1(2(2(0(3(3(0(1(1(2(2(1(0(3(2(z0))))))))))))))))))
   2(c_3(c_3(c_2(c_1(c_0(c_3(c_0(c_0(c_0(c_3(c_3(c_1(c_3(c_0(c_0(c_0(c_3(z0)))))))))))))))))) -> 2(1(0(3(0(3(0(3(3(3(0(0(0(0(2(1(3(3(z0))))))))))))))))))
   2(c_1(c_0(c_3(c_1(c_3(c_1(c_2(c_2(c_2(c_2(c_1(c_2(c_3(c_1(c_3(c_0(c_2(z0)))))))))))))))))) -> 2(3(3(2(1(2(0(3(1(2(2(1(0(3(2(2(1(1(z0))))))))))))))))))
   2(c_2(c_3(c_1(c_1(c_1(c_3(c_1(c_2(c_0(c_1(c_2(c_2(c_0(c_1(c_2(c_2(c_2(z0)))))))))))))))))) -> 2(2(1(2(1(3(1(1(2(3(2(2(0(1(2(0(1(2(z0))))))))))))))))))
   2(c_2(c_2(c_2(c_3(c_2(c_0(c_1(c_3(c_1(c_2(c_2(c_2(c_1(c_3(c_2(c_3(c_3(z0)))))))))))))))))) -> 2(3(1(2(2(1(2(2(1(0(2(2(2(2(3(3(3(3(z0))))))))))))))))))
   2(c_0(c_2(c_2(c_3(c_1(c_0(c_3(c_2(c_3(c_0(c_3(c_2(c_0(c_0(c_2(c_0(c_2(z0)))))))))))))))))) -> 2(0(0(2(3(0(3(3(0(3(2(0(1(2(2(2(0(2(z0))))))))))))))))))
   2(c_1(c_3(c_0(c_0(c_2(c_2(c_1(c_1(c_3(c_1(c_3(c_1(c_0(c_0(c_2(c_1(c_2(z0)))))))))))))))))) -> 0(1(2(1(0(1(2(1(0(0(1(1(2(3(3(3(2(2(z0))))))))))))))))))
   2(c_0(c_3(c_0(c_0(c_1(c_3(c_1(c_2(c_0(c_2(c_1(c_3(c_0(c_2(c_2(c_0(c_0(z0)))))))))))))))))) -> 0(0(3(0(3(2(1(2(1(2(2(1(2(0(0(0(3(0(z0))))))))))))))))))
   2(c_0(c_2(c_0(c_3(c_0(c_0(c_2(c_2(c_1(c_1(c_0(c_3(c_1(c_0(c_3(c_1(c_1(z0)))))))))))))))))) -> 2(0(0(3(3(2(2(1(0(1(0(1(0(3(2(1(0(1(z0))))))))))))))))))
   2(c_2(c_0(c_0(c_3(c_0(c_1(c_3(c_1(c_0(c_2(c_2(c_2(c_3(c_0(c_1(c_2(c_0(z0)))))))))))))))))) -> 0(2(0(3(2(3(2(1(0(2(0(2(1(0(1(0(2(3(z0))))))))))))))))))
   2(c_0(c_0(c_0(c_1(c_1(c_3(c_1(c_1(c_1(c_2(c_2(c_2(c_2(c_2(c_0(c_1(c_3(z0)))))))))))))))))) -> 2(0(1(2(0(0(3(2(2(1(1(1(1(2(2(1(3(0(z0))))))))))))))))))
   2(c_0(c_3(c_1(c_0(c_3(c_2(c_1(c_0(c_2(c_3(c_1(c_0(c_2(c_2(c_1(c_1(c_1(z0)))))))))))))))))) -> 2(1(2(2(2(0(1(1(0(0(3(3(1(3(0(2(1(1(z0))))))))))))))))))
   2(c_1(c_2(c_1(c_3(c_0(c_2(c_2(c_3(c_2(c_3(c_1(c_1(c_1(c_3(c_3(c_0(c_2(z0)))))))))))))))))) -> 2(1(2(1(3(2(1(2(3(2(3(3(0(0(3(1(2(1(z0))))))))))))))))))
   2(c_2(c_1(c_3(c_3(c_0(c_0(c_2(c_1(c_3(c_0(c_1(c_2(c_2(c_2(c_2(c_3(c_3(z0)))))))))))))))))) -> 2(0(2(2(0(2(1(0(3(2(2(1(1(3(2(3(3(3(z0))))))))))))))))))
   2(c_1(c_2(c_3(c_1(c_3(c_2(c_0(c_2(c_2(c_3(c_3(c_3(c_2(c_3(c_1(c_3(c_3(z0)))))))))))))))))) -> 2(3(3(2(2(1(3(2(3(2(1(0(3(3(1(2(3(3(z0))))))))))))))))))
   2(c_0(c_1(c_0(c_1(c_2(c_2(c_2(c_2(c_3(c_3(c_1(c_1(c_1(c_1(c_2(c_1(c_2(z0)))))))))))))))))) -> 0(2(2(1(1(1(2(1(0(3(3(2(2(1(1(2(1(2(z0))))))))))))))))))
   2(c_3(c_0(c_1(c_3(c_1(c_3(c_3(c_0(c_3(c_0(c_2(c_0(c_3(c_1(c_3(c_2(c_3(z0)))))))))))))))))) -> 0(2(0(3(3(3(2(1(3(0(3(3(3(3(1(1(2(0(z0))))))))))))))))))
   3(z0) -> c_3(z0)
   3(c_0(c_0(c_3(c_1(c_3(c_0(c_2(c_0(c_2(c_0(c_0(c_1(c_0(c_3(c_2(c_3(c_2(z0)))))))))))))))))) -> 0(0(3(2(3(3(0(0(0(3(2(0(1(2(3(1(0(2(z0))))))))))))))))))
   3(c_3(c_0(c_2(c_3(c_0(c_1(c_3(c_3(c_3(c_1(c_2(c_1(c_3(c_2(c_2(c_0(c_3(z0)))))))))))))))))) -> 2(3(1(1(0(1(2(0(3(3(3(2(3(2(3(3(0(3(z0))))))))))))))))))
   3(c_3(c_3(c_2(c_3(c_0(c_2(c_2(c_3(c_1(c_2(c_3(c_0(c_3(c_3(c_2(c_2(c_2(z0)))))))))))))))))) -> 3(0(3(2(2(2(0(3(3(3(2(2(3(2(1(3(3(2(z0))))))))))))))))))
   3(c_1(c_1(c_1(c_3(c_1(c_3(c_3(c_3(c_2(c_3(c_0(c_0(c_2(c_3(c_1(c_3(c_1(z0)))))))))))))))))) -> 3(3(1(2(2(3(0(1(0(3(3(3(1(1(1(3(3(1(z0))))))))))))))))))
   3(c_3(c_2(c_0(c_0(c_1(c_0(c_2(c_3(c_3(c_0(c_3(c_1(c_3(c_3(c_1(c_3(c_3(z0)))))))))))))))))) -> 0(0(3(3(1(1(0(2(2(3(1(3(3(0(3(3(3(3(z0))))))))))))))))))
   3(c_1(c_3(c_2(c_1(c_3(c_1(c_0(c_3(c_2(c_0(c_2(c_0(c_3(c_0(c_2(c_3(c_3(z0)))))))))))))))))) -> 2(2(0(1(2(1(0(3(3(3(0(3(2(1(3(3(3(0(z0))))))))))))))))))
   3(c_1(c_3(c_1(c_1(c_1(c_1(c_3(c_2(c_0(c_0(c_2(c_2(c_2(c_1(c_3(c_3(c_1(z0)))))))))))))))))) -> 3(1(0(3(1(1(0(2(2(2(3(1(2(1(1(3(3(1(z0))))))))))))))))))
   3(c_0(c_0(c_2(c_2(c_2(c_1(c_3(c_1(c_3(c_3(c_3(c_2(c_0(c_2(c_3(c_3(c_3(z0)))))))))))))))))) -> 2(1(2(1(2(3(3(0(2(3(0(3(3(3(2(0(3(3(z0))))))))))))))))))
   3(c_3(c_3(c_1(c_3(c_1(c_3(c_0(c_3(c_3(c_2(c_0(c_1(c_3(c_0(c_1(c_2(c_3(z0)))))))))))))))))) -> 3(3(3(1(1(3(1(3(3(3(2(3(0(3(1(2(0(0(z0))))))))))))))))))
   3(c_0(c_0(c_0(c_2(c_0(c_3(c_2(c_0(c_2(c_2(c_2(c_0(c_0(c_1(c_3(c_0(c_2(z0)))))))))))))))))) -> 0(0(2(1(2(3(0(3(2(0(2(0(0(3(0(2(0(2(z0))))))))))))))))))
   3(c_2(c_3(c_0(c_2(c_2(c_2(c_2(c_0(c_0(c_0(c_1(c_1(c_1(c_3(c_0(c_2(c_3(z0)))))))))))))))))) -> 3(0(2(3(2(0(3(1(2(0(2(1(0(3(2(1(2(0(z0))))))))))))))))))
   3(c_2(c_0(c_0(c_0(c_2(c_3(c_3(c_1(c_1(c_0(c_1(c_3(c_2(c_3(c_3(c_0(c_0(z0)))))))))))))))))) -> 3(0(2(1(2(3(3(0(3(1(0(1(2(3(3(0(0(0(z0))))))))))))))))))
   3(c_0(c_3(c_2(c_2(c_0(c_2(c_0(c_0(c_0(c_1(c_3(c_2(c_3(c_3(c_0(c_3(c_0(z0)))))))))))))))))) -> 3(0(2(0(1(2(2(0(3(0(2(0(3(0(3(3(3(0(z0))))))))))))))))))
   3(c_0(c_2(c_2(c_0(c_1(c_2(c_0(c_0(c_2(c_0(c_2(c_2(c_2(c_3(c_1(c_0(c_2(z0)))))))))))))))))) -> 0(2(1(2(2(3(0(0(3(2(2(1(2(0(2(0(0(2(z0))))))))))))))))))
   3(c_3(c_2(c_1(c_3(c_2(c_0(c_2(c_0(c_0(c_3(c_1(c_3(c_0(c_2(c_0(c_2(c_2(z0)))))))))))))))))) -> 2(0(1(3(2(2(2(1(2(3(3(0(3(0(0(0(3(2(z0))))))))))))))))))
   3(c_0(c_2(c_2(c_3(c_2(c_2(c_3(c_2(c_2(c_3(c_3(c_2(c_0(c_1(c_3(c_2(c_3(z0)))))))))))))))))) -> 0(3(3(2(1(3(3(2(2(3(2(2(2(0(3(2(2(3(z0))))))))))))))))))
   3(c_0(c_1(c_2(c_1(c_0(c_2(c_1(c_1(c_3(c_0(c_1(c_2(c_3(c_1(c_1(c_1(c_1(z0)))))))))))))))))) -> 3(3(1(1(1(0(1(2(1(1(1(2(2(3(0(1(0(1(z0))))))))))))))))))
   3(c_3(c_2(c_1(c_3(c_0(c_0(c_1(c_3(c_2(c_0(c_0(c_2(c_3(c_3(c_0(c_0(c_2(z0)))))))))))))))))) -> 3(0(0(3(0(3(0(1(2(0(3(1(3(0(3(2(2(2(z0))))))))))))))))))
   3(c_3(c_0(c_2(c_0(c_2(c_0(c_1(c_2(c_0(c_2(c_3(c_0(c_2(c_2(c_0(c_3(c_3(z0)))))))))))))))))) -> 3(2(0(3(2(0(0(0(3(0(3(2(2(2(1(2(0(3(z0))))))))))))))))))
   3(c_2(c_2(c_1(c_2(c_2(c_3(c_1(c_1(c_2(c_0(c_1(c_3(c_1(c_2(c_2(c_1(c_1(z0)))))))))))))))))) -> 3(1(1(1(2(2(1(3(2(3(2(2(1(1(2(0(2(1(z0))))))))))))))))))
   3(c_2(c_2(c_2(c_3(c_2(c_3(c_0(c_1(c_3(c_2(c_1(c_3(c_2(c_3(c_0(c_2(c_1(z0)))))))))))))))))) -> 0(0(3(3(2(1(2(1(3(3(3(3(2(2(2(2(2(1(z0))))))))))))))))))
   3(c_1(c_3(c_2(c_1(c_1(c_3(c_1(c_2(c_2(c_1(c_3(c_2(c_3(c_1(c_0(c_3(c_1(z0)))))))))))))))))) -> 3(1(3(3(1(2(0(1(1(2(2(1(3(3(2(3(1(1(z0))))))))))))))))))
   3(c_2(c_1(c_3(c_1(c_2(c_2(c_2(c_3(c_3(c_0(c_2(c_1(c_3(c_0(c_2(c_0(c_2(z0)))))))))))))))))) -> 3(3(3(2(3(2(2(0(2(2(1(0(3(2(1(2(1(0(z0))))))))))))))))))
   3(c_1(c_0(c_0(c_3(c_0(c_0(c_0(c_0(c_1(c_2(c_0(c_2(c_0(c_2(c_0(c_0(c_1(z0)))))))))))))))))) -> 3(0(0(0(0(0(2(0(0(0(0(3(0(2(1(1(2(1(z0))))))))))))))))))
   3(c_3(c_0(c_3(c_1(c_0(c_0(c_2(c_2(c_2(c_0(c_0(c_0(c_2(c_2(c_1(c_3(c_2(z0)))))))))))))))))) -> 0(3(2(0(3(3(1(2(1(2(2(0(3(0(0(0(2(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_2(c_0(c_3(c_3(c_2(c_3(c_1(c_3(c_1(c_0(c_2(c_1(c_3(c_0(c_2(c_0(z0)))))))))))))))))) -> c9(0'(0(1(1(3(0(3(3(1(2(0(2(3(0(2(2(0(3(z0)))))))))))))))))), 0'(1(1(3(0(3(3(1(2(0(2(3(0(2(2(0(3(z0))))))))))))))))), 1'(1(3(0(3(3(1(2(0(2(3(0(2(2(0(3(z0)))))))))))))))), 1'(3(0(3(3(1(2(0(2(3(0(2(2(0(3(z0))))))))))))))), 3'(0(3(3(1(2(0(2(3(0(2(2(0(3(z0)))))))))))))), 0'(3(3(1(2(0(2(3(0(2(2(0(3(z0))))))))))))), 3'(3(1(2(0(2(3(0(2(2(0(3(z0)))))))))))), 3'(1(2(0(2(3(0(2(2(0(3(z0))))))))))), 1'(2(0(2(3(0(2(2(0(3(z0)))))))))), 2'(0(2(3(0(2(2(0(3(z0))))))))), 0'(2(3(0(2(2(0(3(z0)))))))), 2'(3(0(2(2(0(3(z0))))))), 3'(0(2(2(0(3(z0)))))), 0'(2(2(0(3(z0))))), 2'(2(0(3(z0)))), 2'(0(3(z0))), 0'(3(z0)), 3'(z0))
   0'(c_0(c_2(c_0(c_3(c_0(c_2(c_2(c_3(c_0(c_2(c_0(c_0(c_2(c_3(c_0(c_0(c_2(z0)))))))))))))))))) -> c10(0'(0(3(2(2(0(2(0(0(0(2(2(0(3(0(0(3(2(z0)))))))))))))))))), 0'(3(2(2(0(2(0(0(0(2(2(0(3(0(0(3(2(z0))))))))))))))))), 3'(2(2(0(2(0(0(0(2(2(0(3(0(0(3(2(z0)))))))))))))))), 2'(2(0(2(0(0(0(2(2(0(3(0(0(3(2(z0))))))))))))))), 2'(0(2(0(0(0(2(2(0(3(0(0(3(2(z0)))))))))))))), 0'(2(0(0(0(2(2(0(3(0(0(3(2(z0))))))))))))), 2'(0(0(0(2(2(0(3(0(0(3(2(z0)))))))))))), 0'(0(0(2(2(0(3(0(0(3(2(z0))))))))))), 0'(0(2(2(0(3(0(0(3(2(z0)))))))))), 0'(2(2(0(3(0(0(3(2(z0))))))))), 2'(2(0(3(0(0(3(2(z0)))))))), 2'(0(3(0(0(3(2(z0))))))), 0'(3(0(0(3(2(z0)))))), 3'(0(0(3(2(z0))))), 0'(0(3(2(z0)))), 0'(3(2(z0))), 3'(2(z0)), 2'(z0))
   0'(c_0(c_0(c_1(c_3(c_3(c_2(c_2(c_3(c_0(c_0(c_1(c_3(c_2(c_2(c_3(c_3(c_2(z0)))))))))))))))))) -> c11(3'(0(2(3(0(3(0(3(0(0(1(2(3(3(1(2(2(2(z0)))))))))))))))))), 0'(2(3(0(3(0(3(0(0(1(2(3(3(1(2(2(2(z0))))))))))))))))), 2'(3(0(3(0(3(0(0(1(2(3(3(1(2(2(2(z0)))))))))))))))), 3'(0(3(0(3(0(0(1(2(3(3(1(2(2(2(z0))))))))))))))), 0'(3(0(3(0(0(1(2(3(3(1(2(2(2(z0)))))))))))))), 3'(0(3(0(0(1(2(3(3(1(2(2(2(z0))))))))))))), 0'(3(0(0(1(2(3(3(1(2(2(2(z0)))))))))))), 3'(0(0(1(2(3(3(1(2(2(2(z0))))))))))), 0'(0(1(2(3(3(1(2(2(2(z0)))))))))), 0'(1(2(3(3(1(2(2(2(z0))))))))), 1'(2(3(3(1(2(2(2(z0)))))))), 2'(3(3(1(2(2(2(z0))))))), 3'(3(1(2(2(2(z0)))))), 3'(1(2(2(2(z0))))), 1'(2(2(2(z0)))), 2'(2(2(z0))), 2'(2(z0)), 2'(z0))
   0'(c_0(c_0(c_2(c_2(c_3(c_0(c_0(c_1(c_0(c_0(c_0(c_1(c_0(c_3(c_1(c_2(c_2(z0)))))))))))))))))) -> c12(0'(0(0(3(2(0(1(3(0(2(1(0(0(1(2(0(0(2(z0)))))))))))))))))), 0'(0(3(2(0(1(3(0(2(1(0(0(1(2(0(0(2(z0))))))))))))))))), 0'(3(2(0(1(3(0(2(1(0(0(1(2(0(0(2(z0)))))))))))))))), 3'(2(0(1(3(0(2(1(0(0(1(2(0(0(2(z0))))))))))))))), 2'(0(1(3(0(2(1(0(0(1(2(0(0(2(z0)))))))))))))), 0'(1(3(0(2(1(0(0(1(2(0(0(2(z0))))))))))))), 1'(3(0(2(1(0(0(1(2(0(0(2(z0)))))))))))), 3'(0(2(1(0(0(1(2(0(0(2(z0))))))))))), 0'(2(1(0(0(1(2(0(0(2(z0)))))))))), 2'(1(0(0(1(2(0(0(2(z0))))))))), 1'(0(0(1(2(0(0(2(z0)))))))), 0'(0(1(2(0(0(2(z0))))))), 0'(1(2(0(0(2(z0)))))), 1'(2(0(0(2(z0))))), 2'(0(0(2(z0)))), 0'(0(2(z0))), 0'(2(z0)), 2'(z0))
   0'(c_1(c_0(c_2(c_2(c_1(c_2(c_1(c_3(c_1(c_1(c_2(c_0(c_1(c_2(c_0(c_1(c_0(z0)))))))))))))))))) -> c13(2'(0(0(3(1(2(2(1(2(0(1(0(1(2(1(1(1(0(z0)))))))))))))))))), 0'(0(3(1(2(2(1(2(0(1(0(1(2(1(1(1(0(z0))))))))))))))))), 0'(3(1(2(2(1(2(0(1(0(1(2(1(1(1(0(z0)))))))))))))))), 3'(1(2(2(1(2(0(1(0(1(2(1(1(1(0(z0))))))))))))))), 1'(2(2(1(2(0(1(0(1(2(1(1(1(0(z0)))))))))))))), 2'(2(1(2(0(1(0(1(2(1(1(1(0(z0))))))))))))), 2'(1(2(0(1(0(1(2(1(1(1(0(z0)))))))))))), 1'(2(0(1(0(1(2(1(1(1(0(z0))))))))))), 2'(0(1(0(1(2(1(1(1(0(z0)))))))))), 0'(1(0(1(2(1(1(1(0(z0))))))))), 1'(0(1(2(1(1(1(0(z0)))))))), 0'(1(2(1(1(1(0(z0))))))), 1'(2(1(1(1(0(z0)))))), 2'(1(1(1(0(z0))))), 1'(1(1(0(z0)))), 1'(1(0(z0))), 1'(0(z0)), 0'(z0))
   0'(c_2(c_1(c_0(c_2(c_0(c_3(c_0(c_1(c_0(c_2(c_0(c_2(c_0(c_1(c_2(c_0(c_3(z0)))))))))))))))))) -> c14(0'(2(1(2(0(2(1(2(0(3(0(0(3(2(1(0(0(0(z0)))))))))))))))))), 2'(1(2(0(2(1(2(0(3(0(0(3(2(1(0(0(0(z0))))))))))))))))), 1'(2(0(2(1(2(0(3(0(0(3(2(1(0(0(0(z0)))))))))))))))), 2'(0(2(1(2(0(3(0(0(3(2(1(0(0(0(z0))))))))))))))), 0'(2(1(2(0(3(0(0(3(2(1(0(0(0(z0)))))))))))))), 2'(1(2(0(3(0(0(3(2(1(0(0(0(z0))))))))))))), 1'(2(0(3(0(0(3(2(1(0(0(0(z0)))))))))))), 2'(0(3(0(0(3(2(1(0(0(0(z0))))))))))), 0'(3(0(0(3(2(1(0(0(0(z0)))))))))), 3'(0(0(3(2(1(0(0(0(z0))))))))), 0'(0(3(2(1(0(0(0(z0)))))))), 0'(3(2(1(0(0(0(z0))))))), 3'(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))
   0'(c_1(c_2(c_3(c_3(c_3(c_1(c_3(c_3(c_3(c_2(c_3(c_1(c_2(c_0(c_1(c_3(c_1(z0)))))))))))))))))) -> c15(2'(3(0(3(3(3(1(1(3(0(3(1(3(2(3(1(2(1(z0)))))))))))))))))), 3'(0(3(3(3(1(1(3(0(3(1(3(2(3(1(2(1(z0))))))))))))))))), 0'(3(3(3(1(1(3(0(3(1(3(2(3(1(2(1(z0)))))))))))))))), 3'(3(3(1(1(3(0(3(1(3(2(3(1(2(1(z0))))))))))))))), 3'(3(1(1(3(0(3(1(3(2(3(1(2(1(z0)))))))))))))), 3'(1(1(3(0(3(1(3(2(3(1(2(1(z0))))))))))))), 1'(1(3(0(3(1(3(2(3(1(2(1(z0)))))))))))), 1'(3(0(3(1(3(2(3(1(2(1(z0))))))))))), 3'(0(3(1(3(2(3(1(2(1(z0)))))))))), 0'(3(1(3(2(3(1(2(1(z0))))))))), 3'(1(3(2(3(1(2(1(z0)))))))), 1'(3(2(3(1(2(1(z0))))))), 3'(2(3(1(2(1(z0)))))), 2'(3(1(2(1(z0))))), 3'(1(2(1(z0)))), 1'(2(1(z0))), 2'(1(z0)), 1'(z0))
   0'(c_1(c_1(c_1(c_3(c_0(c_1(c_3(c_1(c_2(c_0(c_2(c_1(c_2(c_2(c_0(c_3(c_0(z0)))))))))))))))))) -> c16(3'(0(3(2(2(1(1(1(2(0(1(1(2(1(3(0(0(0(z0)))))))))))))))))), 0'(3(2(2(1(1(1(2(0(1(1(2(1(3(0(0(0(z0))))))))))))))))), 3'(2(2(1(1(1(2(0(1(1(2(1(3(0(0(0(z0)))))))))))))))), 2'(2(1(1(1(2(0(1(1(2(1(3(0(0(0(z0))))))))))))))), 2'(1(1(1(2(0(1(1(2(1(3(0(0(0(z0)))))))))))))), 1'(1(1(2(0(1(1(2(1(3(0(0(0(z0))))))))))))), 1'(1(2(0(1(1(2(1(3(0(0(0(z0)))))))))))), 1'(2(0(1(1(2(1(3(0(0(0(z0))))))))))), 2'(0(1(1(2(1(3(0(0(0(z0)))))))))), 0'(1(1(2(1(3(0(0(0(z0))))))))), 1'(1(2(1(3(0(0(0(z0)))))))), 1'(2(1(3(0(0(0(z0))))))), 2'(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_1(c_3(c_2(c_3(c_1(c_1(c_3(c_2(c_2(c_0(c_0(c_1(c_3(c_2(c_3(c_3(c_3(z0)))))))))))))))))) -> c17(2'(3(0(3(3(3(1(0(0(1(2(1(3(2(3(2(1(3(z0)))))))))))))))))), 3'(0(3(3(3(1(0(0(1(2(1(3(2(3(2(1(3(z0))))))))))))))))), 0'(3(3(3(1(0(0(1(2(1(3(2(3(2(1(3(z0)))))))))))))))), 3'(3(3(1(0(0(1(2(1(3(2(3(2(1(3(z0))))))))))))))), 3'(3(1(0(0(1(2(1(3(2(3(2(1(3(z0)))))))))))))), 3'(1(0(0(1(2(1(3(2(3(2(1(3(z0))))))))))))), 1'(0(0(1(2(1(3(2(3(2(1(3(z0)))))))))))), 0'(0(1(2(1(3(2(3(2(1(3(z0))))))))))), 0'(1(2(1(3(2(3(2(1(3(z0)))))))))), 1'(2(1(3(2(3(2(1(3(z0))))))))), 2'(1(3(2(3(2(1(3(z0)))))))), 1'(3(2(3(2(1(3(z0))))))), 3'(2(3(2(1(3(z0)))))), 2'(3(2(1(3(z0))))), 3'(2(1(3(z0)))), 2'(1(3(z0))), 1'(3(z0)), 3'(z0))
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   3'(c_3(c_2(c_1(c_3(c_0(c_0(c_1(c_3(c_2(c_0(c_0(c_2(c_3(c_3(c_0(c_0(c_2(z0)))))))))))))))))) -> c84(3'(0(0(3(0(3(0(1(2(0(3(1(3(0(3(2(2(2(z0)))))))))))))))))), 0'(0(3(0(3(0(1(2(0(3(1(3(0(3(2(2(2(z0))))))))))))))))), 0'(3(0(3(0(1(2(0(3(1(3(0(3(2(2(2(z0)))))))))))))))), 3'(0(3(0(1(2(0(3(1(3(0(3(2(2(2(z0))))))))))))))), 0'(3(0(1(2(0(3(1(3(0(3(2(2(2(z0)))))))))))))), 3'(0(1(2(0(3(1(3(0(3(2(2(2(z0))))))))))))), 0'(1(2(0(3(1(3(0(3(2(2(2(z0)))))))))))), 1'(2(0(3(1(3(0(3(2(2(2(z0))))))))))), 2'(0(3(1(3(0(3(2(2(2(z0)))))))))), 0'(3(1(3(0(3(2(2(2(z0))))))))), 3'(1(3(0(3(2(2(2(z0)))))))), 1'(3(0(3(2(2(2(z0))))))), 3'(0(3(2(2(2(z0)))))), 0'(3(2(2(2(z0))))), 3'(2(2(2(z0)))), 2'(2(2(z0))), 2'(2(z0)), 2'(z0))
   3'(c_3(c_0(c_2(c_0(c_2(c_0(c_1(c_2(c_0(c_2(c_3(c_0(c_2(c_2(c_0(c_3(c_3(z0)))))))))))))))))) -> c85(3'(2(0(3(2(0(0(0(3(0(3(2(2(2(1(2(0(3(z0)))))))))))))))))), 2'(0(3(2(0(0(0(3(0(3(2(2(2(1(2(0(3(z0))))))))))))))))), 0'(3(2(0(0(0(3(0(3(2(2(2(1(2(0(3(z0)))))))))))))))), 3'(2(0(0(0(3(0(3(2(2(2(1(2(0(3(z0))))))))))))))), 2'(0(0(0(3(0(3(2(2(2(1(2(0(3(z0)))))))))))))), 0'(0(0(3(0(3(2(2(2(1(2(0(3(z0))))))))))))), 0'(0(3(0(3(2(2(2(1(2(0(3(z0)))))))))))), 0'(3(0(3(2(2(2(1(2(0(3(z0))))))))))), 3'(0(3(2(2(2(1(2(0(3(z0)))))))))), 0'(3(2(2(2(1(2(0(3(z0))))))))), 3'(2(2(2(1(2(0(3(z0)))))))), 2'(2(2(1(2(0(3(z0))))))), 2'(2(1(2(0(3(z0)))))), 2'(1(2(0(3(z0))))), 1'(2(0(3(z0)))), 2'(0(3(z0))), 0'(3(z0)), 3'(z0))
   3'(c_2(c_2(c_1(c_2(c_2(c_3(c_1(c_1(c_2(c_0(c_1(c_3(c_1(c_2(c_2(c_1(c_1(z0)))))))))))))))))) -> c86(3'(1(1(1(2(2(1(3(2(3(2(2(1(1(2(0(2(1(z0)))))))))))))))))), 1'(1(1(2(2(1(3(2(3(2(2(1(1(2(0(2(1(z0))))))))))))))))), 1'(1(2(2(1(3(2(3(2(2(1(1(2(0(2(1(z0)))))))))))))))), 1'(2(2(1(3(2(3(2(2(1(1(2(0(2(1(z0))))))))))))))), 2'(2(1(3(2(3(2(2(1(1(2(0(2(1(z0)))))))))))))), 2'(1(3(2(3(2(2(1(1(2(0(2(1(z0))))))))))))), 1'(3(2(3(2(2(1(1(2(0(2(1(z0)))))))))))), 3'(2(3(2(2(1(1(2(0(2(1(z0))))))))))), 2'(3(2(2(1(1(2(0(2(1(z0)))))))))), 3'(2(2(1(1(2(0(2(1(z0))))))))), 2'(2(1(1(2(0(2(1(z0)))))))), 2'(1(1(2(0(2(1(z0))))))), 1'(1(2(0(2(1(z0)))))), 1'(2(0(2(1(z0))))), 2'(0(2(1(z0)))), 0'(2(1(z0))), 2'(1(z0)), 1'(z0))
   3'(c_2(c_2(c_2(c_3(c_2(c_3(c_0(c_1(c_3(c_2(c_1(c_3(c_2(c_3(c_0(c_2(c_1(z0)))))))))))))))))) -> c87(0'(0(3(3(2(1(2(1(3(3(3(3(2(2(2(2(2(1(z0)))))))))))))))))), 0'(3(3(2(1(2(1(3(3(3(3(2(2(2(2(2(1(z0))))))))))))))))), 3'(3(2(1(2(1(3(3(3(3(2(2(2(2(2(1(z0)))))))))))))))), 3'(2(1(2(1(3(3(3(3(2(2(2(2(2(1(z0))))))))))))))), 2'(1(2(1(3(3(3(3(2(2(2(2(2(1(z0)))))))))))))), 1'(2(1(3(3(3(3(2(2(2(2(2(1(z0))))))))))))), 2'(1(3(3(3(3(2(2(2(2(2(1(z0)))))))))))), 1'(3(3(3(3(2(2(2(2(2(1(z0))))))))))), 3'(3(3(3(2(2(2(2(2(1(z0)))))))))), 3'(3(3(2(2(2(2(2(1(z0))))))))), 3'(3(2(2(2(2(2(1(z0)))))))), 3'(2(2(2(2(2(1(z0))))))), 2'(2(2(2(2(1(z0)))))), 2'(2(2(2(1(z0))))), 2'(2(2(1(z0)))), 2'(2(1(z0))), 2'(1(z0)), 1'(z0))
   3'(c_1(c_3(c_2(c_1(c_1(c_3(c_1(c_2(c_2(c_1(c_3(c_2(c_3(c_1(c_0(c_3(c_1(z0)))))))))))))))))) -> c88(3'(1(3(3(1(2(0(1(1(2(2(1(3(3(2(3(1(1(z0)))))))))))))))))), 1'(3(3(1(2(0(1(1(2(2(1(3(3(2(3(1(1(z0))))))))))))))))), 3'(3(1(2(0(1(1(2(2(1(3(3(2(3(1(1(z0)))))))))))))))), 3'(1(2(0(1(1(2(2(1(3(3(2(3(1(1(z0))))))))))))))), 1'(2(0(1(1(2(2(1(3(3(2(3(1(1(z0)))))))))))))), 2'(0(1(1(2(2(1(3(3(2(3(1(1(z0))))))))))))), 0'(1(1(2(2(1(3(3(2(3(1(1(z0)))))))))))), 1'(1(2(2(1(3(3(2(3(1(1(z0))))))))))), 1'(2(2(1(3(3(2(3(1(1(z0)))))))))), 2'(2(1(3(3(2(3(1(1(z0))))))))), 2'(1(3(3(2(3(1(1(z0)))))))), 1'(3(3(2(3(1(1(z0))))))), 3'(3(2(3(1(1(z0)))))), 3'(2(3(1(1(z0))))), 2'(3(1(1(z0)))), 3'(1(1(z0))), 1'(1(z0)), 1'(z0))
   3'(c_2(c_1(c_3(c_1(c_2(c_2(c_2(c_3(c_3(c_0(c_2(c_1(c_3(c_0(c_2(c_0(c_2(z0)))))))))))))))))) -> c89(3'(3(3(2(3(2(2(0(2(2(1(0(3(2(1(2(1(0(z0)))))))))))))))))), 3'(3(2(3(2(2(0(2(2(1(0(3(2(1(2(1(0(z0))))))))))))))))), 3'(2(3(2(2(0(2(2(1(0(3(2(1(2(1(0(z0)))))))))))))))), 2'(3(2(2(0(2(2(1(0(3(2(1(2(1(0(z0))))))))))))))), 3'(2(2(0(2(2(1(0(3(2(1(2(1(0(z0)))))))))))))), 2'(2(0(2(2(1(0(3(2(1(2(1(0(z0))))))))))))), 2'(0(2(2(1(0(3(2(1(2(1(0(z0)))))))))))), 0'(2(2(1(0(3(2(1(2(1(0(z0))))))))))), 2'(2(1(0(3(2(1(2(1(0(z0)))))))))), 2'(1(0(3(2(1(2(1(0(z0))))))))), 1'(0(3(2(1(2(1(0(z0)))))))), 0'(3(2(1(2(1(0(z0))))))), 3'(2(1(2(1(0(z0)))))), 2'(1(2(1(0(z0))))), 1'(2(1(0(z0)))), 2'(1(0(z0))), 1'(0(z0)), 0'(z0))
   3'(c_1(c_0(c_0(c_3(c_0(c_0(c_0(c_0(c_1(c_2(c_0(c_2(c_0(c_2(c_0(c_0(c_1(z0)))))))))))))))))) -> c90(3'(0(0(0(0(0(2(0(0(0(0(3(0(2(1(1(2(1(z0)))))))))))))))))), 0'(0(0(0(0(2(0(0(0(0(3(0(2(1(1(2(1(z0))))))))))))))))), 0'(0(0(0(2(0(0(0(0(3(0(2(1(1(2(1(z0)))))))))))))))), 0'(0(0(2(0(0(0(0(3(0(2(1(1(2(1(z0))))))))))))))), 0'(0(2(0(0(0(0(3(0(2(1(1(2(1(z0)))))))))))))), 0'(2(0(0(0(0(3(0(2(1(1(2(1(z0))))))))))))), 2'(0(0(0(0(3(0(2(1(1(2(1(z0)))))))))))), 0'(0(0(0(3(0(2(1(1(2(1(z0))))))))))), 0'(0(0(3(0(2(1(1(2(1(z0)))))))))), 0'(0(3(0(2(1(1(2(1(z0))))))))), 0'(3(0(2(1(1(2(1(z0)))))))), 3'(0(2(1(1(2(1(z0))))))), 0'(2(1(1(2(1(z0)))))), 2'(1(1(2(1(z0))))), 1'(1(2(1(z0)))), 1'(2(1(z0))), 2'(1(z0)), 1'(z0))
   3'(c_3(c_0(c_3(c_1(c_0(c_0(c_2(c_2(c_2(c_0(c_0(c_0(c_2(c_2(c_1(c_3(c_2(z0)))))))))))))))))) -> c91(0'(3(2(0(3(3(1(2(1(2(2(0(3(0(0(0(2(2(z0)))))))))))))))))), 3'(2(0(3(3(1(2(1(2(2(0(3(0(0(0(2(2(z0))))))))))))))))), 2'(0(3(3(1(2(1(2(2(0(3(0(0(0(2(2(z0)))))))))))))))), 0'(3(3(1(2(1(2(2(0(3(0(0(0(2(2(z0))))))))))))))), 3'(3(1(2(1(2(2(0(3(0(0(0(2(2(z0)))))))))))))), 3'(1(2(1(2(2(0(3(0(0(0(2(2(z0))))))))))))), 1'(2(1(2(2(0(3(0(0(0(2(2(z0)))))))))))), 2'(1(2(2(0(3(0(0(0(2(2(z0))))))))))), 1'(2(2(0(3(0(0(0(2(2(z0)))))))))), 2'(2(0(3(0(0(0(2(2(z0))))))))), 2'(0(3(0(0(0(2(2(z0)))))))), 0'(3(0(0(0(2(2(z0))))))), 3'(0(0(0(2(2(z0)))))), 0'(0(0(2(2(z0))))), 0'(0(2(2(z0)))), 0'(2(2(z0))), 2'(2(z0)), 2'(z0))
   ENCODE_0(z0) -> c8(0'(encArg(z0)))
   ENCODE_1(z0) -> c8(1'(encArg(z0)))
   ENCODE_3(z0) -> c8(3'(encArg(z0)))
   ENCODE_2(z0) -> c8(2'(encArg(z0)))
S tuples:
   0'(c_0(c_2(c_0(c_3(c_3(c_2(c_3(c_1(c_3(c_1(c_0(c_2(c_1(c_3(c_0(c_2(c_0(z0)))))))))))))))))) -> c9(0'(0(1(1(3(0(3(3(1(2(0(2(3(0(2(2(0(3(z0)))))))))))))))))), 0'(1(1(3(0(3(3(1(2(0(2(3(0(2(2(0(3(z0))))))))))))))))), 1'(1(3(0(3(3(1(2(0(2(3(0(2(2(0(3(z0)))))))))))))))), 1'(3(0(3(3(1(2(0(2(3(0(2(2(0(3(z0))))))))))))))), 3'(0(3(3(1(2(0(2(3(0(2(2(0(3(z0)))))))))))))), 0'(3(3(1(2(0(2(3(0(2(2(0(3(z0))))))))))))), 3'(3(1(2(0(2(3(0(2(2(0(3(z0)))))))))))), 3'(1(2(0(2(3(0(2(2(0(3(z0))))))))))), 1'(2(0(2(3(0(2(2(0(3(z0)))))))))), 2'(0(2(3(0(2(2(0(3(z0))))))))), 0'(2(3(0(2(2(0(3(z0)))))))), 2'(3(0(2(2(0(3(z0))))))), 3'(0(2(2(0(3(z0)))))), 0'(2(2(0(3(z0))))), 2'(2(0(3(z0)))), 2'(0(3(z0))), 0'(3(z0)), 3'(z0))
   0'(c_0(c_2(c_0(c_3(c_0(c_2(c_2(c_3(c_0(c_2(c_0(c_0(c_2(c_3(c_0(c_0(c_2(z0)))))))))))))))))) -> c10(0'(0(3(2(2(0(2(0(0(0(2(2(0(3(0(0(3(2(z0)))))))))))))))))), 0'(3(2(2(0(2(0(0(0(2(2(0(3(0(0(3(2(z0))))))))))))))))), 3'(2(2(0(2(0(0(0(2(2(0(3(0(0(3(2(z0)))))))))))))))), 2'(2(0(2(0(0(0(2(2(0(3(0(0(3(2(z0))))))))))))))), 2'(0(2(0(0(0(2(2(0(3(0(0(3(2(z0)))))))))))))), 0'(2(0(0(0(2(2(0(3(0(0(3(2(z0))))))))))))), 2'(0(0(0(2(2(0(3(0(0(3(2(z0)))))))))))), 0'(0(0(2(2(0(3(0(0(3(2(z0))))))))))), 0'(0(2(2(0(3(0(0(3(2(z0)))))))))), 0'(2(2(0(3(0(0(3(2(z0))))))))), 2'(2(0(3(0(0(3(2(z0)))))))), 2'(0(3(0(0(3(2(z0))))))), 0'(3(0(0(3(2(z0)))))), 3'(0(0(3(2(z0))))), 0'(0(3(2(z0)))), 0'(3(2(z0))), 3'(2(z0)), 2'(z0))
   0'(c_0(c_0(c_1(c_3(c_3(c_2(c_2(c_3(c_0(c_0(c_1(c_3(c_2(c_2(c_3(c_3(c_2(z0)))))))))))))))))) -> c11(3'(0(2(3(0(3(0(3(0(0(1(2(3(3(1(2(2(2(z0)))))))))))))))))), 0'(2(3(0(3(0(3(0(0(1(2(3(3(1(2(2(2(z0))))))))))))))))), 2'(3(0(3(0(3(0(0(1(2(3(3(1(2(2(2(z0)))))))))))))))), 3'(0(3(0(3(0(0(1(2(3(3(1(2(2(2(z0))))))))))))))), 0'(3(0(3(0(0(1(2(3(3(1(2(2(2(z0)))))))))))))), 3'(0(3(0(0(1(2(3(3(1(2(2(2(z0))))))))))))), 0'(3(0(0(1(2(3(3(1(2(2(2(z0)))))))))))), 3'(0(0(1(2(3(3(1(2(2(2(z0))))))))))), 0'(0(1(2(3(3(1(2(2(2(z0)))))))))), 0'(1(2(3(3(1(2(2(2(z0))))))))), 1'(2(3(3(1(2(2(2(z0)))))))), 2'(3(3(1(2(2(2(z0))))))), 3'(3(1(2(2(2(z0)))))), 3'(1(2(2(2(z0))))), 1'(2(2(2(z0)))), 2'(2(2(z0))), 2'(2(z0)), 2'(z0))
   0'(c_0(c_0(c_2(c_2(c_3(c_0(c_0(c_1(c_0(c_0(c_0(c_1(c_0(c_3(c_1(c_2(c_2(z0)))))))))))))))))) -> c12(0'(0(0(3(2(0(1(3(0(2(1(0(0(1(2(0(0(2(z0)))))))))))))))))), 0'(0(3(2(0(1(3(0(2(1(0(0(1(2(0(0(2(z0))))))))))))))))), 0'(3(2(0(1(3(0(2(1(0(0(1(2(0(0(2(z0)))))))))))))))), 3'(2(0(1(3(0(2(1(0(0(1(2(0(0(2(z0))))))))))))))), 2'(0(1(3(0(2(1(0(0(1(2(0(0(2(z0)))))))))))))), 0'(1(3(0(2(1(0(0(1(2(0(0(2(z0))))))))))))), 1'(3(0(2(1(0(0(1(2(0(0(2(z0)))))))))))), 3'(0(2(1(0(0(1(2(0(0(2(z0))))))))))), 0'(2(1(0(0(1(2(0(0(2(z0)))))))))), 2'(1(0(0(1(2(0(0(2(z0))))))))), 1'(0(0(1(2(0(0(2(z0)))))))), 0'(0(1(2(0(0(2(z0))))))), 0'(1(2(0(0(2(z0)))))), 1'(2(0(0(2(z0))))), 2'(0(0(2(z0)))), 0'(0(2(z0))), 0'(2(z0)), 2'(z0))
   0'(c_1(c_0(c_2(c_2(c_1(c_2(c_1(c_3(c_1(c_1(c_2(c_0(c_1(c_2(c_0(c_1(c_0(z0)))))))))))))))))) -> c13(2'(0(0(3(1(2(2(1(2(0(1(0(1(2(1(1(1(0(z0)))))))))))))))))), 0'(0(3(1(2(2(1(2(0(1(0(1(2(1(1(1(0(z0))))))))))))))))), 0'(3(1(2(2(1(2(0(1(0(1(2(1(1(1(0(z0)))))))))))))))), 3'(1(2(2(1(2(0(1(0(1(2(1(1(1(0(z0))))))))))))))), 1'(2(2(1(2(0(1(0(1(2(1(1(1(0(z0)))))))))))))), 2'(2(1(2(0(1(0(1(2(1(1(1(0(z0))))))))))))), 2'(1(2(0(1(0(1(2(1(1(1(0(z0)))))))))))), 1'(2(0(1(0(1(2(1(1(1(0(z0))))))))))), 2'(0(1(0(1(2(1(1(1(0(z0)))))))))), 0'(1(0(1(2(1(1(1(0(z0))))))))), 1'(0(1(2(1(1(1(0(z0)))))))), 0'(1(2(1(1(1(0(z0))))))), 1'(2(1(1(1(0(z0)))))), 2'(1(1(1(0(z0))))), 1'(1(1(0(z0)))), 1'(1(0(z0))), 1'(0(z0)), 0'(z0))
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   3'(c_0(c_2(c_2(c_3(c_2(c_2(c_3(c_2(c_2(c_3(c_3(c_2(c_0(c_1(c_3(c_2(c_3(z0)))))))))))))))))) -> c82(0'(3(3(2(1(3(3(2(2(3(2(2(2(0(3(2(2(3(z0)))))))))))))))))), 3'(3(2(1(3(3(2(2(3(2(2(2(0(3(2(2(3(z0))))))))))))))))), 3'(2(1(3(3(2(2(3(2(2(2(0(3(2(2(3(z0)))))))))))))))), 2'(1(3(3(2(2(3(2(2(2(0(3(2(2(3(z0))))))))))))))), 1'(3(3(2(2(3(2(2(2(0(3(2(2(3(z0)))))))))))))), 3'(3(2(2(3(2(2(2(0(3(2(2(3(z0))))))))))))), 3'(2(2(3(2(2(2(0(3(2(2(3(z0)))))))))))), 2'(2(3(2(2(2(0(3(2(2(3(z0))))))))))), 2'(3(2(2(2(0(3(2(2(3(z0)))))))))), 3'(2(2(2(0(3(2(2(3(z0))))))))), 2'(2(2(0(3(2(2(3(z0)))))))), 2'(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))
   3'(c_0(c_1(c_2(c_1(c_0(c_2(c_1(c_1(c_3(c_0(c_1(c_2(c_3(c_1(c_1(c_1(c_1(z0)))))))))))))))))) -> c83(3'(3(1(1(1(0(1(2(1(1(1(2(2(3(0(1(0(1(z0)))))))))))))))))), 3'(1(1(1(0(1(2(1(1(1(2(2(3(0(1(0(1(z0))))))))))))))))), 1'(1(1(0(1(2(1(1(1(2(2(3(0(1(0(1(z0)))))))))))))))), 1'(1(0(1(2(1(1(1(2(2(3(0(1(0(1(z0))))))))))))))), 1'(0(1(2(1(1(1(2(2(3(0(1(0(1(z0)))))))))))))), 0'(1(2(1(1(1(2(2(3(0(1(0(1(z0))))))))))))), 1'(2(1(1(1(2(2(3(0(1(0(1(z0)))))))))))), 2'(1(1(1(2(2(3(0(1(0(1(z0))))))))))), 1'(1(1(2(2(3(0(1(0(1(z0)))))))))), 1'(1(2(2(3(0(1(0(1(z0))))))))), 1'(2(2(3(0(1(0(1(z0)))))))), 2'(2(3(0(1(0(1(z0))))))), 2'(3(0(1(0(1(z0)))))), 3'(0(1(0(1(z0))))), 0'(1(0(1(z0)))), 1'(0(1(z0))), 0'(1(z0)), 1'(z0))
   3'(c_3(c_2(c_1(c_3(c_0(c_0(c_1(c_3(c_2(c_0(c_0(c_2(c_3(c_3(c_0(c_0(c_2(z0)))))))))))))))))) -> c84(3'(0(0(3(0(3(0(1(2(0(3(1(3(0(3(2(2(2(z0)))))))))))))))))), 0'(0(3(0(3(0(1(2(0(3(1(3(0(3(2(2(2(z0))))))))))))))))), 0'(3(0(3(0(1(2(0(3(1(3(0(3(2(2(2(z0)))))))))))))))), 3'(0(3(0(1(2(0(3(1(3(0(3(2(2(2(z0))))))))))))))), 0'(3(0(1(2(0(3(1(3(0(3(2(2(2(z0)))))))))))))), 3'(0(1(2(0(3(1(3(0(3(2(2(2(z0))))))))))))), 0'(1(2(0(3(1(3(0(3(2(2(2(z0)))))))))))), 1'(2(0(3(1(3(0(3(2(2(2(z0))))))))))), 2'(0(3(1(3(0(3(2(2(2(z0)))))))))), 0'(3(1(3(0(3(2(2(2(z0))))))))), 3'(1(3(0(3(2(2(2(z0)))))))), 1'(3(0(3(2(2(2(z0))))))), 3'(0(3(2(2(2(z0)))))), 0'(3(2(2(2(z0))))), 3'(2(2(2(z0)))), 2'(2(2(z0))), 2'(2(z0)), 2'(z0))
   3'(c_3(c_0(c_2(c_0(c_2(c_0(c_1(c_2(c_0(c_2(c_3(c_0(c_2(c_2(c_0(c_3(c_3(z0)))))))))))))))))) -> c85(3'(2(0(3(2(0(0(0(3(0(3(2(2(2(1(2(0(3(z0)))))))))))))))))), 2'(0(3(2(0(0(0(3(0(3(2(2(2(1(2(0(3(z0))))))))))))))))), 0'(3(2(0(0(0(3(0(3(2(2(2(1(2(0(3(z0)))))))))))))))), 3'(2(0(0(0(3(0(3(2(2(2(1(2(0(3(z0))))))))))))))), 2'(0(0(0(3(0(3(2(2(2(1(2(0(3(z0)))))))))))))), 0'(0(0(3(0(3(2(2(2(1(2(0(3(z0))))))))))))), 0'(0(3(0(3(2(2(2(1(2(0(3(z0)))))))))))), 0'(3(0(3(2(2(2(1(2(0(3(z0))))))))))), 3'(0(3(2(2(2(1(2(0(3(z0)))))))))), 0'(3(2(2(2(1(2(0(3(z0))))))))), 3'(2(2(2(1(2(0(3(z0)))))))), 2'(2(2(1(2(0(3(z0))))))), 2'(2(1(2(0(3(z0)))))), 2'(1(2(0(3(z0))))), 1'(2(0(3(z0)))), 2'(0(3(z0))), 0'(3(z0)), 3'(z0))
   3'(c_2(c_2(c_1(c_2(c_2(c_3(c_1(c_1(c_2(c_0(c_1(c_3(c_1(c_2(c_2(c_1(c_1(z0)))))))))))))))))) -> c86(3'(1(1(1(2(2(1(3(2(3(2(2(1(1(2(0(2(1(z0)))))))))))))))))), 1'(1(1(2(2(1(3(2(3(2(2(1(1(2(0(2(1(z0))))))))))))))))), 1'(1(2(2(1(3(2(3(2(2(1(1(2(0(2(1(z0)))))))))))))))), 1'(2(2(1(3(2(3(2(2(1(1(2(0(2(1(z0))))))))))))))), 2'(2(1(3(2(3(2(2(1(1(2(0(2(1(z0)))))))))))))), 2'(1(3(2(3(2(2(1(1(2(0(2(1(z0))))))))))))), 1'(3(2(3(2(2(1(1(2(0(2(1(z0)))))))))))), 3'(2(3(2(2(1(1(2(0(2(1(z0))))))))))), 2'(3(2(2(1(1(2(0(2(1(z0)))))))))), 3'(2(2(1(1(2(0(2(1(z0))))))))), 2'(2(1(1(2(0(2(1(z0)))))))), 2'(1(1(2(0(2(1(z0))))))), 1'(1(2(0(2(1(z0)))))), 1'(2(0(2(1(z0))))), 2'(0(2(1(z0)))), 0'(2(1(z0))), 2'(1(z0)), 1'(z0))
   3'(c_2(c_2(c_2(c_3(c_2(c_3(c_0(c_1(c_3(c_2(c_1(c_3(c_2(c_3(c_0(c_2(c_1(z0)))))))))))))))))) -> c87(0'(0(3(3(2(1(2(1(3(3(3(3(2(2(2(2(2(1(z0)))))))))))))))))), 0'(3(3(2(1(2(1(3(3(3(3(2(2(2(2(2(1(z0))))))))))))))))), 3'(3(2(1(2(1(3(3(3(3(2(2(2(2(2(1(z0)))))))))))))))), 3'(2(1(2(1(3(3(3(3(2(2(2(2(2(1(z0))))))))))))))), 2'(1(2(1(3(3(3(3(2(2(2(2(2(1(z0)))))))))))))), 1'(2(1(3(3(3(3(2(2(2(2(2(1(z0))))))))))))), 2'(1(3(3(3(3(2(2(2(2(2(1(z0)))))))))))), 1'(3(3(3(3(2(2(2(2(2(1(z0))))))))))), 3'(3(3(3(2(2(2(2(2(1(z0)))))))))), 3'(3(3(2(2(2(2(2(1(z0))))))))), 3'(3(2(2(2(2(2(1(z0)))))))), 3'(2(2(2(2(2(1(z0))))))), 2'(2(2(2(2(1(z0)))))), 2'(2(2(2(1(z0))))), 2'(2(2(1(z0)))), 2'(2(1(z0))), 2'(1(z0)), 1'(z0))
   3'(c_1(c_3(c_2(c_1(c_1(c_3(c_1(c_2(c_2(c_1(c_3(c_2(c_3(c_1(c_0(c_3(c_1(z0)))))))))))))))))) -> c88(3'(1(3(3(1(2(0(1(1(2(2(1(3(3(2(3(1(1(z0)))))))))))))))))), 1'(3(3(1(2(0(1(1(2(2(1(3(3(2(3(1(1(z0))))))))))))))))), 3'(3(1(2(0(1(1(2(2(1(3(3(2(3(1(1(z0)))))))))))))))), 3'(1(2(0(1(1(2(2(1(3(3(2(3(1(1(z0))))))))))))))), 1'(2(0(1(1(2(2(1(3(3(2(3(1(1(z0)))))))))))))), 2'(0(1(1(2(2(1(3(3(2(3(1(1(z0))))))))))))), 0'(1(1(2(2(1(3(3(2(3(1(1(z0)))))))))))), 1'(1(2(2(1(3(3(2(3(1(1(z0))))))))))), 1'(2(2(1(3(3(2(3(1(1(z0)))))))))), 2'(2(1(3(3(2(3(1(1(z0))))))))), 2'(1(3(3(2(3(1(1(z0)))))))), 1'(3(3(2(3(1(1(z0))))))), 3'(3(2(3(1(1(z0)))))), 3'(2(3(1(1(z0))))), 2'(3(1(1(z0)))), 3'(1(1(z0))), 1'(1(z0)), 1'(z0))
   3'(c_2(c_1(c_3(c_1(c_2(c_2(c_2(c_3(c_3(c_0(c_2(c_1(c_3(c_0(c_2(c_0(c_2(z0)))))))))))))))))) -> c89(3'(3(3(2(3(2(2(0(2(2(1(0(3(2(1(2(1(0(z0)))))))))))))))))), 3'(3(2(3(2(2(0(2(2(1(0(3(2(1(2(1(0(z0))))))))))))))))), 3'(2(3(2(2(0(2(2(1(0(3(2(1(2(1(0(z0)))))))))))))))), 2'(3(2(2(0(2(2(1(0(3(2(1(2(1(0(z0))))))))))))))), 3'(2(2(0(2(2(1(0(3(2(1(2(1(0(z0)))))))))))))), 2'(2(0(2(2(1(0(3(2(1(2(1(0(z0))))))))))))), 2'(0(2(2(1(0(3(2(1(2(1(0(z0)))))))))))), 0'(2(2(1(0(3(2(1(2(1(0(z0))))))))))), 2'(2(1(0(3(2(1(2(1(0(z0)))))))))), 2'(1(0(3(2(1(2(1(0(z0))))))))), 1'(0(3(2(1(2(1(0(z0)))))))), 0'(3(2(1(2(1(0(z0))))))), 3'(2(1(2(1(0(z0)))))), 2'(1(2(1(0(z0))))), 1'(2(1(0(z0)))), 2'(1(0(z0))), 1'(0(z0)), 0'(z0))
   3'(c_1(c_0(c_0(c_3(c_0(c_0(c_0(c_0(c_1(c_2(c_0(c_2(c_0(c_2(c_0(c_0(c_1(z0)))))))))))))))))) -> c90(3'(0(0(0(0(0(2(0(0(0(0(3(0(2(1(1(2(1(z0)))))))))))))))))), 0'(0(0(0(0(2(0(0(0(0(3(0(2(1(1(2(1(z0))))))))))))))))), 0'(0(0(0(2(0(0(0(0(3(0(2(1(1(2(1(z0)))))))))))))))), 0'(0(0(2(0(0(0(0(3(0(2(1(1(2(1(z0))))))))))))))), 0'(0(2(0(0(0(0(3(0(2(1(1(2(1(z0)))))))))))))), 0'(2(0(0(0(0(3(0(2(1(1(2(1(z0))))))))))))), 2'(0(0(0(0(3(0(2(1(1(2(1(z0)))))))))))), 0'(0(0(0(3(0(2(1(1(2(1(z0))))))))))), 0'(0(0(3(0(2(1(1(2(1(z0)))))))))), 0'(0(3(0(2(1(1(2(1(z0))))))))), 0'(3(0(2(1(1(2(1(z0)))))))), 3'(0(2(1(1(2(1(z0))))))), 0'(2(1(1(2(1(z0)))))), 2'(1(1(2(1(z0))))), 1'(1(2(1(z0)))), 1'(2(1(z0))), 2'(1(z0)), 1'(z0))
   3'(c_3(c_0(c_3(c_1(c_0(c_0(c_2(c_2(c_2(c_0(c_0(c_0(c_2(c_2(c_1(c_3(c_2(z0)))))))))))))))))) -> c91(0'(3(2(0(3(3(1(2(1(2(2(0(3(0(0(0(2(2(z0)))))))))))))))))), 3'(2(0(3(3(1(2(1(2(2(0(3(0(0(0(2(2(z0))))))))))))))))), 2'(0(3(3(1(2(1(2(2(0(3(0(0(0(2(2(z0)))))))))))))))), 0'(3(3(1(2(1(2(2(0(3(0(0(0(2(2(z0))))))))))))))), 3'(3(1(2(1(2(2(0(3(0(0(0(2(2(z0)))))))))))))), 3'(1(2(1(2(2(0(3(0(0(0(2(2(z0))))))))))))), 1'(2(1(2(2(0(3(0(0(0(2(2(z0)))))))))))), 2'(1(2(2(0(3(0(0(0(2(2(z0))))))))))), 1'(2(2(0(3(0(0(0(2(2(z0)))))))))), 2'(2(0(3(0(0(0(2(2(z0))))))))), 2'(0(3(0(0(0(2(2(z0)))))))), 0'(3(0(0(0(2(2(z0))))))), 3'(0(0(0(2(2(z0)))))), 0'(0(0(2(2(z0))))), 0'(0(2(2(z0)))), 0'(2(2(z0))), 2'(2(z0)), 2'(z0))
K tuples:none
Defined Rule Symbols:   2_1, 3_1, 0_1, 1_1, encArg_1, encode_0_1, encode_1_1, encode_3_1, encode_2_1

Defined Pair Symbols:   ENCARG_1, 0'_1, 1'_1, 2'_1, 3'_1, ENCODE_0_1, ENCODE_1_1, ENCODE_3_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, c30_18, c31_18, c32_18, c33_18, c34_18, c35_18, c36_18, c37_18, c38_18, c39_18, c40_18, c41_18, c42_18, c44_18, c45_18, c46_18, c47_18, c48_18, c49_18, c50_18, c51_18, c52_18, c53_18, c54_18, c55_18, c56_18, c57_18, c58_18, c59_18, c60_18, c61_18, c62_18, c63_18, c64_18, c65_18, c67_18, c68_18, c69_18, c70_18, c71_18, c72_18, c73_18, c74_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


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

(45) CdtUsableRulesProof (BOTH BOUNDS(ID, ID))
The following rules are not usable and were removed:
   encode_0(z0) -> 0(encArg(z0))
   encode_1(z0) -> 1(encArg(z0))
   encode_3(z0) -> 3(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_2(c_0(c_3(c_3(c_2(c_3(c_1(c_3(c_1(c_0(c_2(c_1(c_3(c_0(c_2(c_0(z0)))))))))))))))))) -> 0(0(1(1(3(0(3(3(1(2(0(2(3(0(2(2(0(3(z0))))))))))))))))))
   0(c_0(c_2(c_0(c_3(c_0(c_2(c_2(c_3(c_0(c_2(c_0(c_0(c_2(c_3(c_0(c_0(c_2(z0)))))))))))))))))) -> 0(0(3(2(2(0(2(0(0(0(2(2(0(3(0(0(3(2(z0))))))))))))))))))
   0(c_0(c_0(c_1(c_3(c_3(c_2(c_2(c_3(c_0(c_0(c_1(c_3(c_2(c_2(c_3(c_3(c_2(z0)))))))))))))))))) -> 3(0(2(3(0(3(0(3(0(0(1(2(3(3(1(2(2(2(z0))))))))))))))))))
   0(c_0(c_0(c_2(c_2(c_3(c_0(c_0(c_1(c_0(c_0(c_0(c_1(c_0(c_3(c_1(c_2(c_2(z0)))))))))))))))))) -> 0(0(0(3(2(0(1(3(0(2(1(0(0(1(2(0(0(2(z0))))))))))))))))))
   0(c_1(c_0(c_2(c_2(c_1(c_2(c_1(c_3(c_1(c_1(c_2(c_0(c_1(c_2(c_0(c_1(c_0(z0)))))))))))))))))) -> 2(0(0(3(1(2(2(1(2(0(1(0(1(2(1(1(1(0(z0))))))))))))))))))
   0(c_2(c_1(c_0(c_2(c_0(c_3(c_0(c_1(c_0(c_2(c_0(c_2(c_0(c_1(c_2(c_0(c_3(z0)))))))))))))))))) -> 0(2(1(2(0(2(1(2(0(3(0(0(3(2(1(0(0(0(z0))))))))))))))))))
   0(c_1(c_2(c_3(c_3(c_3(c_1(c_3(c_3(c_3(c_2(c_3(c_1(c_2(c_0(c_1(c_3(c_1(z0)))))))))))))))))) -> 2(3(0(3(3(3(1(1(3(0(3(1(3(2(3(1(2(1(z0))))))))))))))))))
   0(c_1(c_1(c_1(c_3(c_0(c_1(c_3(c_1(c_2(c_0(c_2(c_1(c_2(c_2(c_0(c_3(c_0(z0)))))))))))))))))) -> 3(0(3(2(2(1(1(1(2(0(1(1(2(1(3(0(0(0(z0))))))))))))))))))
   0(c_1(c_3(c_2(c_3(c_1(c_1(c_3(c_2(c_2(c_0(c_0(c_1(c_3(c_2(c_3(c_3(c_3(z0)))))))))))))))))) -> 2(3(0(3(3(3(1(0(0(1(2(1(3(2(3(2(1(3(z0))))))))))))))))))
   0(c_1(c_0(c_0(c_2(c_2(c_2(c_3(c_2(c_1(c_3(c_2(c_3(c_3(c_1(c_0(c_1(c_0(z0)))))))))))))))))) -> 0(1(2(3(0(3(3(0(2(0(1(0(2(1(3(2(1(2(z0))))))))))))))))))
   0(c_3(c_2(c_3(c_1(c_0(c_0(c_1(c_0(c_0(c_1(c_2(c_3(c_2(c_1(c_1(c_0(c_1(z0)))))))))))))))))) -> 3(0(0(3(1(1(0(0(2(1(2(2(0(1(1(0(3(1(z0))))))))))))))))))
   0(c_2(c_0(c_1(c_0(c_0(c_0(c_1(c_0(c_3(c_0(c_2(c_3(c_3(c_3(c_3(c_0(c_3(z0)))))))))))))))))) -> 0(3(0(0(0(3(3(2(0(1(1(0(2(3(0(0(3(3(z0))))))))))))))))))
   0(c_2(c_0(c_1(c_3(c_1(c_0(c_0(c_3(c_2(c_0(c_2(c_2(c_3(c_0(c_1(c_0(c_0(z0)))))))))))))))))) -> 1(0(0(3(2(1(2(2(2(0(0(3(1(0(0(0(3(0(z0))))))))))))))))))
   0(c_1(c_2(c_2(c_3(c_1(c_3(c_3(c_1(c_3(c_2(c_2(c_3(c_3(c_0(c_2(c_0(c_2(z0)))))))))))))))))) -> 0(1(2(3(0(3(3(3(3(2(2(1(2(0(2(3(1(2(z0))))))))))))))))))
   0(c_3(c_1(c_1(c_2(c_2(c_0(c_0(c_0(c_1(c_3(c_2(c_3(c_3(c_3(c_3(c_3(c_3(z0)))))))))))))))))) -> 3(0(3(2(3(3(0(0(3(2(1(1(0(3(1(2(3(3(z0))))))))))))))))))
   0(c_3(c_1(c_2(c_1(c_0(c_2(c_1(c_3(c_0(c_3(c_2(c_3(c_2(c_3(c_0(c_1(c_2(z0)))))))))))))))))) -> 3(0(2(3(0(3(1(2(1(2(3(0(3(1(0(2(1(2(z0))))))))))))))))))
   0(c_1(c_2(c_3(c_0(c_2(c_1(c_1(c_3(c_3(c_3(c_2(c_3(c_1(c_3(c_1(c_3(c_1(z0)))))))))))))))))) -> 2(1(3(2(3(1(1(3(3(0(3(3(0(3(2(1(1(1(z0))))))))))))))))))
   0(c_0(c_2(c_0(c_1(c_1(c_3(c_0(c_2(c_3(c_2(c_2(c_0(c_2(c_3(c_3(c_1(c_2(z0)))))))))))))))))) -> 0(0(3(2(1(0(0(3(1(3(0(3(2(2(1(2(2(2(z0))))))))))))))))))
   0(c_3(c_3(c_2(c_3(c_1(c_3(c_2(c_0(c_0(c_2(c_1(c_3(c_1(c_3(c_2(c_3(c_3(z0)))))))))))))))))) -> 3(2(2(3(2(0(1(2(1(3(1(3(0(3(0(3(3(3(z0))))))))))))))))))
   0(c_0(c_1(c_3(c_1(c_0(c_0(c_1(c_3(c_3(c_0(c_0(c_1(c_2(c_2(c_1(c_1(c_1(z0)))))))))))))))))) -> 3(3(0(2(0(0(0(0(1(0(2(1(3(1(1(1(1(1(z0))))))))))))))))))
   1(z0) -> c_1(z0)
   1(c_2(c_3(c_0(c_1(c_0(c_3(c_1(c_2(c_3(c_1(c_1(c_1(c_1(c_3(c_2(c_3(c_0(z0)))))))))))))))))) -> 1(1(2(1(1(3(0(3(3(2(1(2(0(3(1(1(3(0(z0))))))))))))))))))
   1(c_3(c_1(c_3(c_1(c_1(c_1(c_2(c_1(c_3(c_0(c_1(c_2(c_1(c_3(c_1(c_1(c_0(z0)))))))))))))))))) -> 1(0(1(1(1(3(3(2(3(0(1(2(1(1(1(1(1(3(z0))))))))))))))))))
   1(c_1(c_0(c_3(c_1(c_2(c_0(c_0(c_1(c_3(c_2(c_1(c_2(c_0(c_3(c_0(c_2(c_2(z0)))))))))))))))))) -> 1(1(2(2(3(2(1(0(0(3(2(3(0(0(0(1(1(2(z0))))))))))))))))))
   1(c_2(c_2(c_0(c_3(c_1(c_3(c_0(c_0(c_1(c_3(c_3(c_0(c_3(c_2(c_3(c_1(c_2(z0)))))))))))))))))) -> 1(0(2(3(3(3(3(0(2(0(3(1(0(3(1(2(1(2(z0))))))))))))))))))
   1(c_1(c_0(c_0(c_0(c_2(c_0(c_1(c_0(c_1(c_1(c_0(c_3(c_2(c_1(c_0(c_0(c_2(z0)))))))))))))))))) -> 1(1(2(1(1(0(0(2(3(0(0(0(0(1(1(0(0(2(z0))))))))))))))))))
   1(c_3(c_1(c_3(c_2(c_0(c_0(c_0(c_1(c_3(c_1(c_0(c_2(c_2(c_2(c_1(c_0(c_2(z0)))))))))))))))))) -> 1(0(1(1(2(2(0(3(3(0(1(0(1(2(2(3(0(2(z0))))))))))))))))))
   1(c_0(c_0(c_0(c_3(c_0(c_2(c_1(c_3(c_3(c_1(c_2(c_2(c_3(c_1(c_3(c_2(c_1(z0)))))))))))))))))) -> 1(2(1(3(3(0(3(0(3(1(0(2(2(3(1(0(2(1(z0))))))))))))))))))
   1(c_3(c_3(c_1(c_3(c_1(c_3(c_0(c_1(c_0(c_2(c_3(c_1(c_1(c_1(c_3(c_0(c_3(z0)))))))))))))))))) -> 1(1(1(2(1(3(0(0(3(3(3(0(1(1(3(3(1(3(z0))))))))))))))))))
   1(c_2(c_2(c_2(c_2(c_0(c_3(c_3(c_2(c_1(c_3(c_0(c_2(c_1(c_3(c_2(c_0(c_3(z0)))))))))))))))))) -> 1(2(2(1(2(1(2(0(2(3(2(2(0(0(3(3(3(3(z0))))))))))))))))))
   1(c_3(c_0(c_2(c_0(c_3(c_2(c_2(c_1(c_3(c_2(c_3(c_2(c_2(c_2(c_1(c_3(c_2(z0)))))))))))))))))) -> 1(3(2(1(2(2(3(3(3(2(1(3(2(0(0(2(2(2(z0))))))))))))))))))
   1(c_3(c_2(c_2(c_0(c_3(c_1(c_1(c_3(c_1(c_3(c_0(c_2(c_1(c_2(c_2(c_0(c_3(z0)))))))))))))))))) -> 1(1(2(1(0(1(2(3(3(0(3(0(3(2(2(1(2(3(z0))))))))))))))))))
   1(c_0(c_2(c_1(c_2(c_3(c_3(c_0(c_1(c_0(c_2(c_3(c_0(c_1(c_1(c_3(c_3(c_1(z0)))))))))))))))))) -> 1(2(1(1(1(3(0(3(0(3(1(0(3(2(2(0(3(1(z0))))))))))))))))))
   1(c_0(c_2(c_0(c_0(c_0(c_1(c_2(c_3(c_0(c_1(c_2(c_2(c_2(c_1(c_2(c_2(c_0(z0)))))))))))))))))) -> 1(2(2(0(0(1(1(0(0(2(2(2(2(1(2(0(0(3(z0))))))))))))))))))
   2(z0) -> c_2(z0)
   2(c_2(c_2(c_3(c_0(c_1(c_3(c_2(c_1(c_3(c_3(c_2(c_1(c_2(c_2(c_1(c_2(c_3(z0)))))))))))))))))) -> 2(2(2(1(1(2(3(2(3(2(2(0(3(1(2(1(3(3(z0))))))))))))))))))
   2(c_2(c_1(c_3(c_1(c_3(c_0(c_0(c_2(c_1(c_2(c_2(c_2(c_1(c_1(c_1(c_0(c_1(z0)))))))))))))))))) -> 0(2(2(3(3(1(1(2(0(2(1(1(2(1(0(1(2(1(z0))))))))))))))))))
   2(c_0(c_0(c_1(c_3(c_1(c_3(c_2(c_1(c_0(c_0(c_2(c_2(c_2(c_0(c_2(c_0(c_3(z0)))))))))))))))))) -> 0(2(2(2(0(2(1(0(0(3(0(0(1(2(2(1(3(3(z0))))))))))))))))))
   2(c_3(c_2(c_3(c_1(c_2(c_0(c_1(c_3(c_0(c_1(c_3(c_2(c_1(c_0(c_2(c_3(c_3(z0)))))))))))))))))) -> 0(3(1(0(2(2(1(2(2(1(3(3(3(1(0(2(3(3(z0))))))))))))))))))
   2(c_1(c_2(c_2(c_2(c_2(c_2(c_0(c_1(c_3(c_2(c_0(c_0(c_1(c_2(c_3(c_1(c_2(z0)))))))))))))))))) -> 2(1(2(2(1(0(0(3(3(0(1(2(2(2(2(2(1(2(z0))))))))))))))))))
   2(c_2(c_3(c_2(c_2(c_3(c_1(c_0(c_2(c_3(c_1(c_1(c_1(c_0(c_0(c_1(c_0(c_2(z0)))))))))))))))))) -> 0(2(1(1(2(2(0(3(3(0(1(1(2(2(1(0(3(2(z0))))))))))))))))))
   2(c_3(c_3(c_2(c_1(c_0(c_3(c_0(c_0(c_0(c_3(c_3(c_1(c_3(c_0(c_0(c_0(c_3(z0)))))))))))))))))) -> 2(1(0(3(0(3(0(3(3(3(0(0(0(0(2(1(3(3(z0))))))))))))))))))
   2(c_1(c_0(c_3(c_1(c_3(c_1(c_2(c_2(c_2(c_2(c_1(c_2(c_3(c_1(c_3(c_0(c_2(z0)))))))))))))))))) -> 2(3(3(2(1(2(0(3(1(2(2(1(0(3(2(2(1(1(z0))))))))))))))))))
   2(c_2(c_3(c_1(c_1(c_1(c_3(c_1(c_2(c_0(c_1(c_2(c_2(c_0(c_1(c_2(c_2(c_2(z0)))))))))))))))))) -> 2(2(1(2(1(3(1(1(2(3(2(2(0(1(2(0(1(2(z0))))))))))))))))))
   2(c_2(c_2(c_2(c_3(c_2(c_0(c_1(c_3(c_1(c_2(c_2(c_2(c_1(c_3(c_2(c_3(c_3(z0)))))))))))))))))) -> 2(3(1(2(2(1(2(2(1(0(2(2(2(2(3(3(3(3(z0))))))))))))))))))
   2(c_0(c_2(c_2(c_3(c_1(c_0(c_3(c_2(c_3(c_0(c_3(c_2(c_0(c_0(c_2(c_0(c_2(z0)))))))))))))))))) -> 2(0(0(2(3(0(3(3(0(3(2(0(1(2(2(2(0(2(z0))))))))))))))))))
   2(c_1(c_3(c_0(c_0(c_2(c_2(c_1(c_1(c_3(c_1(c_3(c_1(c_0(c_0(c_2(c_1(c_2(z0)))))))))))))))))) -> 0(1(2(1(0(1(2(1(0(0(1(1(2(3(3(3(2(2(z0))))))))))))))))))
   2(c_0(c_3(c_0(c_0(c_1(c_3(c_1(c_2(c_0(c_2(c_1(c_3(c_0(c_2(c_2(c_0(c_0(z0)))))))))))))))))) -> 0(0(3(0(3(2(1(2(1(2(2(1(2(0(0(0(3(0(z0))))))))))))))))))
   2(c_0(c_2(c_0(c_3(c_0(c_0(c_2(c_2(c_1(c_1(c_0(c_3(c_1(c_0(c_3(c_1(c_1(z0)))))))))))))))))) -> 2(0(0(3(3(2(2(1(0(1(0(1(0(3(2(1(0(1(z0))))))))))))))))))
   2(c_2(c_0(c_0(c_3(c_0(c_1(c_3(c_1(c_0(c_2(c_2(c_2(c_3(c_0(c_1(c_2(c_0(z0)))))))))))))))))) -> 0(2(0(3(2(3(2(1(0(2(0(2(1(0(1(0(2(3(z0))))))))))))))))))
   2(c_0(c_0(c_0(c_1(c_1(c_3(c_1(c_1(c_1(c_2(c_2(c_2(c_2(c_2(c_0(c_1(c_3(z0)))))))))))))))))) -> 2(0(1(2(0(0(3(2(2(1(1(1(1(2(2(1(3(0(z0))))))))))))))))))
   2(c_0(c_3(c_1(c_0(c_3(c_2(c_1(c_0(c_2(c_3(c_1(c_0(c_2(c_2(c_1(c_1(c_1(z0)))))))))))))))))) -> 2(1(2(2(2(0(1(1(0(0(3(3(1(3(0(2(1(1(z0))))))))))))))))))
   2(c_1(c_2(c_1(c_3(c_0(c_2(c_2(c_3(c_2(c_3(c_1(c_1(c_1(c_3(c_3(c_0(c_2(z0)))))))))))))))))) -> 2(1(2(1(3(2(1(2(3(2(3(3(0(0(3(1(2(1(z0))))))))))))))))))
   2(c_2(c_1(c_3(c_3(c_0(c_0(c_2(c_1(c_3(c_0(c_1(c_2(c_2(c_2(c_2(c_3(c_3(z0)))))))))))))))))) -> 2(0(2(2(0(2(1(0(3(2(2(1(1(3(2(3(3(3(z0))))))))))))))))))
   2(c_1(c_2(c_3(c_1(c_3(c_2(c_0(c_2(c_2(c_3(c_3(c_3(c_2(c_3(c_1(c_3(c_3(z0)))))))))))))))))) -> 2(3(3(2(2(1(3(2(3(2(1(0(3(3(1(2(3(3(z0))))))))))))))))))
   2(c_0(c_1(c_0(c_1(c_2(c_2(c_2(c_2(c_3(c_3(c_1(c_1(c_1(c_1(c_2(c_1(c_2(z0)))))))))))))))))) -> 0(2(2(1(1(1(2(1(0(3(3(2(2(1(1(2(1(2(z0))))))))))))))))))
   2(c_3(c_0(c_1(c_3(c_1(c_3(c_3(c_0(c_3(c_0(c_2(c_0(c_3(c_1(c_3(c_2(c_3(z0)))))))))))))))))) -> 0(2(0(3(3(3(2(1(3(0(3(3(3(3(1(1(2(0(z0))))))))))))))))))
   3(z0) -> c_3(z0)
   3(c_0(c_0(c_3(c_1(c_3(c_0(c_2(c_0(c_2(c_0(c_0(c_1(c_0(c_3(c_2(c_3(c_2(z0)))))))))))))))))) -> 0(0(3(2(3(3(0(0(0(3(2(0(1(2(3(1(0(2(z0))))))))))))))))))
   3(c_3(c_0(c_2(c_3(c_0(c_1(c_3(c_3(c_3(c_1(c_2(c_1(c_3(c_2(c_2(c_0(c_3(z0)))))))))))))))))) -> 2(3(1(1(0(1(2(0(3(3(3(2(3(2(3(3(0(3(z0))))))))))))))))))
   3(c_3(c_3(c_2(c_3(c_0(c_2(c_2(c_3(c_1(c_2(c_3(c_0(c_3(c_3(c_2(c_2(c_2(z0)))))))))))))))))) -> 3(0(3(2(2(2(0(3(3(3(2(2(3(2(1(3(3(2(z0))))))))))))))))))
   3(c_1(c_1(c_1(c_3(c_1(c_3(c_3(c_3(c_2(c_3(c_0(c_0(c_2(c_3(c_1(c_3(c_1(z0)))))))))))))))))) -> 3(3(1(2(2(3(0(1(0(3(3(3(1(1(1(3(3(1(z0))))))))))))))))))
   3(c_3(c_2(c_0(c_0(c_1(c_0(c_2(c_3(c_3(c_0(c_3(c_1(c_3(c_3(c_1(c_3(c_3(z0)))))))))))))))))) -> 0(0(3(3(1(1(0(2(2(3(1(3(3(0(3(3(3(3(z0))))))))))))))))))
   3(c_1(c_3(c_2(c_1(c_3(c_1(c_0(c_3(c_2(c_0(c_2(c_0(c_3(c_0(c_2(c_3(c_3(z0)))))))))))))))))) -> 2(2(0(1(2(1(0(3(3(3(0(3(2(1(3(3(3(0(z0))))))))))))))))))
   3(c_1(c_3(c_1(c_1(c_1(c_1(c_3(c_2(c_0(c_0(c_2(c_2(c_2(c_1(c_3(c_3(c_1(z0)))))))))))))))))) -> 3(1(0(3(1(1(0(2(2(2(3(1(2(1(1(3(3(1(z0))))))))))))))))))
   3(c_0(c_0(c_2(c_2(c_2(c_1(c_3(c_1(c_3(c_3(c_3(c_2(c_0(c_2(c_3(c_3(c_3(z0)))))))))))))))))) -> 2(1(2(1(2(3(3(0(2(3(0(3(3(3(2(0(3(3(z0))))))))))))))))))
   3(c_3(c_3(c_1(c_3(c_1(c_3(c_0(c_3(c_3(c_2(c_0(c_1(c_3(c_0(c_1(c_2(c_3(z0)))))))))))))))))) -> 3(3(3(1(1(3(1(3(3(3(2(3(0(3(1(2(0(0(z0))))))))))))))))))
   3(c_0(c_0(c_0(c_2(c_0(c_3(c_2(c_0(c_2(c_2(c_2(c_0(c_0(c_1(c_3(c_0(c_2(z0)))))))))))))))))) -> 0(0(2(1(2(3(0(3(2(0(2(0(0(3(0(2(0(2(z0))))))))))))))))))
   3(c_2(c_3(c_0(c_2(c_2(c_2(c_2(c_0(c_0(c_0(c_1(c_1(c_1(c_3(c_0(c_2(c_3(z0)))))))))))))))))) -> 3(0(2(3(2(0(3(1(2(0(2(1(0(3(2(1(2(0(z0))))))))))))))))))
   3(c_2(c_0(c_0(c_0(c_2(c_3(c_3(c_1(c_1(c_0(c_1(c_3(c_2(c_3(c_3(c_0(c_0(z0)))))))))))))))))) -> 3(0(2(1(2(3(3(0(3(1(0(1(2(3(3(0(0(0(z0))))))))))))))))))
   3(c_0(c_3(c_2(c_2(c_0(c_2(c_0(c_0(c_0(c_1(c_3(c_2(c_3(c_3(c_0(c_3(c_0(z0)))))))))))))))))) -> 3(0(2(0(1(2(2(0(3(0(2(0(3(0(3(3(3(0(z0))))))))))))))))))
   3(c_0(c_2(c_2(c_0(c_1(c_2(c_0(c_0(c_2(c_0(c_2(c_2(c_2(c_3(c_1(c_0(c_2(z0)))))))))))))))))) -> 0(2(1(2(2(3(0(0(3(2(2(1(2(0(2(0(0(2(z0))))))))))))))))))
   3(c_3(c_2(c_1(c_3(c_2(c_0(c_2(c_0(c_0(c_3(c_1(c_3(c_0(c_2(c_0(c_2(c_2(z0)))))))))))))))))) -> 2(0(1(3(2(2(2(1(2(3(3(0(3(0(0(0(3(2(z0))))))))))))))))))
   3(c_0(c_2(c_2(c_3(c_2(c_2(c_3(c_2(c_2(c_3(c_3(c_2(c_0(c_1(c_3(c_2(c_3(z0)))))))))))))))))) -> 0(3(3(2(1(3(3(2(2(3(2(2(2(0(3(2(2(3(z0))))))))))))))))))
   3(c_0(c_1(c_2(c_1(c_0(c_2(c_1(c_1(c_3(c_0(c_1(c_2(c_3(c_1(c_1(c_1(c_1(z0)))))))))))))))))) -> 3(3(1(1(1(0(1(2(1(1(1(2(2(3(0(1(0(1(z0))))))))))))))))))
   3(c_3(c_2(c_1(c_3(c_0(c_0(c_1(c_3(c_2(c_0(c_0(c_2(c_3(c_3(c_0(c_0(c_2(z0)))))))))))))))))) -> 3(0(0(3(0(3(0(1(2(0(3(1(3(0(3(2(2(2(z0))))))))))))))))))
   3(c_3(c_0(c_2(c_0(c_2(c_0(c_1(c_2(c_0(c_2(c_3(c_0(c_2(c_2(c_0(c_3(c_3(z0)))))))))))))))))) -> 3(2(0(3(2(0(0(0(3(0(3(2(2(2(1(2(0(3(z0))))))))))))))))))
   3(c_2(c_2(c_1(c_2(c_2(c_3(c_1(c_1(c_2(c_0(c_1(c_3(c_1(c_2(c_2(c_1(c_1(z0)))))))))))))))))) -> 3(1(1(1(2(2(1(3(2(3(2(2(1(1(2(0(2(1(z0))))))))))))))))))
   3(c_2(c_2(c_2(c_3(c_2(c_3(c_0(c_1(c_3(c_2(c_1(c_3(c_2(c_3(c_0(c_2(c_1(z0)))))))))))))))))) -> 0(0(3(3(2(1(2(1(3(3(3(3(2(2(2(2(2(1(z0))))))))))))))))))
   3(c_1(c_3(c_2(c_1(c_1(c_3(c_1(c_2(c_2(c_1(c_3(c_2(c_3(c_1(c_0(c_3(c_1(z0)))))))))))))))))) -> 3(1(3(3(1(2(0(1(1(2(2(1(3(3(2(3(1(1(z0))))))))))))))))))
   3(c_2(c_1(c_3(c_1(c_2(c_2(c_2(c_3(c_3(c_0(c_2(c_1(c_3(c_0(c_2(c_0(c_2(z0)))))))))))))))))) -> 3(3(3(2(3(2(2(0(2(2(1(0(3(2(1(2(1(0(z0))))))))))))))))))
   3(c_1(c_0(c_0(c_3(c_0(c_0(c_0(c_0(c_1(c_2(c_0(c_2(c_0(c_2(c_0(c_0(c_1(z0)))))))))))))))))) -> 3(0(0(0(0(0(2(0(0(0(0(3(0(2(1(1(2(1(z0))))))))))))))))))
   3(c_3(c_0(c_3(c_1(c_0(c_0(c_2(c_2(c_2(c_0(c_0(c_0(c_2(c_2(c_1(c_3(c_2(z0)))))))))))))))))) -> 0(3(2(0(3(3(1(2(1(2(2(0(3(0(0(0(2(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))
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   0'(c_1(c_1(c_1(c_3(c_0(c_1(c_3(c_1(c_2(c_0(c_2(c_1(c_2(c_2(c_0(c_3(c_0(z0)))))))))))))))))) -> c16(3'(0(3(2(2(1(1(1(2(0(1(1(2(1(3(0(0(0(z0)))))))))))))))))), 0'(3(2(2(1(1(1(2(0(1(1(2(1(3(0(0(0(z0))))))))))))))))), 3'(2(2(1(1(1(2(0(1(1(2(1(3(0(0(0(z0)))))))))))))))), 2'(2(1(1(1(2(0(1(1(2(1(3(0(0(0(z0))))))))))))))), 2'(1(1(1(2(0(1(1(2(1(3(0(0(0(z0)))))))))))))), 1'(1(1(2(0(1(1(2(1(3(0(0(0(z0))))))))))))), 1'(1(2(0(1(1(2(1(3(0(0(0(z0)))))))))))), 1'(2(0(1(1(2(1(3(0(0(0(z0))))))))))), 2'(0(1(1(2(1(3(0(0(0(z0)))))))))), 0'(1(1(2(1(3(0(0(0(z0))))))))), 1'(1(2(1(3(0(0(0(z0)))))))), 1'(2(1(3(0(0(0(z0))))))), 2'(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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   0'(c_1(c_0(c_0(c_2(c_2(c_2(c_3(c_2(c_1(c_3(c_2(c_3(c_3(c_1(c_0(c_1(c_0(z0)))))))))))))))))) -> c18(0'(1(2(3(0(3(3(0(2(0(1(0(2(1(3(2(1(2(z0)))))))))))))))))), 1'(2(3(0(3(3(0(2(0(1(0(2(1(3(2(1(2(z0))))))))))))))))), 2'(3(0(3(3(0(2(0(1(0(2(1(3(2(1(2(z0)))))))))))))))), 3'(0(3(3(0(2(0(1(0(2(1(3(2(1(2(z0))))))))))))))), 0'(3(3(0(2(0(1(0(2(1(3(2(1(2(z0)))))))))))))), 3'(3(0(2(0(1(0(2(1(3(2(1(2(z0))))))))))))), 3'(0(2(0(1(0(2(1(3(2(1(2(z0)))))))))))), 0'(2(0(1(0(2(1(3(2(1(2(z0))))))))))), 2'(0(1(0(2(1(3(2(1(2(z0)))))))))), 0'(1(0(2(1(3(2(1(2(z0))))))))), 1'(0(2(1(3(2(1(2(z0)))))))), 0'(2(1(3(2(1(2(z0))))))), 2'(1(3(2(1(2(z0)))))), 1'(3(2(1(2(z0))))), 3'(2(1(2(z0)))), 2'(1(2(z0))), 1'(2(z0)), 2'(z0))
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   3'(c_0(c_3(c_2(c_2(c_0(c_2(c_0(c_0(c_0(c_1(c_3(c_2(c_3(c_3(c_0(c_3(c_0(z0)))))))))))))))))) -> c79(3'(0(2(0(1(2(2(0(3(0(2(0(3(0(3(3(3(0(z0)))))))))))))))))), 0'(2(0(1(2(2(0(3(0(2(0(3(0(3(3(3(0(z0))))))))))))))))), 2'(0(1(2(2(0(3(0(2(0(3(0(3(3(3(0(z0)))))))))))))))), 0'(1(2(2(0(3(0(2(0(3(0(3(3(3(0(z0))))))))))))))), 1'(2(2(0(3(0(2(0(3(0(3(3(3(0(z0)))))))))))))), 2'(2(0(3(0(2(0(3(0(3(3(3(0(z0))))))))))))), 2'(0(3(0(2(0(3(0(3(3(3(0(z0)))))))))))), 0'(3(0(2(0(3(0(3(3(3(0(z0))))))))))), 3'(0(2(0(3(0(3(3(3(0(z0)))))))))), 0'(2(0(3(0(3(3(3(0(z0))))))))), 2'(0(3(0(3(3(3(0(z0)))))))), 0'(3(0(3(3(3(0(z0))))))), 3'(0(3(3(3(0(z0)))))), 0'(3(3(3(0(z0))))), 3'(3(3(0(z0)))), 3'(3(0(z0))), 3'(0(z0)), 0'(z0))
   3'(c_0(c_2(c_2(c_0(c_1(c_2(c_0(c_0(c_2(c_0(c_2(c_2(c_2(c_3(c_1(c_0(c_2(z0)))))))))))))))))) -> c80(0'(2(1(2(2(3(0(0(3(2(2(1(2(0(2(0(0(2(z0)))))))))))))))))), 2'(1(2(2(3(0(0(3(2(2(1(2(0(2(0(0(2(z0))))))))))))))))), 1'(2(2(3(0(0(3(2(2(1(2(0(2(0(0(2(z0)))))))))))))))), 2'(2(3(0(0(3(2(2(1(2(0(2(0(0(2(z0))))))))))))))), 2'(3(0(0(3(2(2(1(2(0(2(0(0(2(z0)))))))))))))), 3'(0(0(3(2(2(1(2(0(2(0(0(2(z0))))))))))))), 0'(0(3(2(2(1(2(0(2(0(0(2(z0)))))))))))), 0'(3(2(2(1(2(0(2(0(0(2(z0))))))))))), 3'(2(2(1(2(0(2(0(0(2(z0)))))))))), 2'(2(1(2(0(2(0(0(2(z0))))))))), 2'(1(2(0(2(0(0(2(z0)))))))), 1'(2(0(2(0(0(2(z0))))))), 2'(0(2(0(0(2(z0)))))), 0'(2(0(0(2(z0))))), 2'(0(0(2(z0)))), 0'(0(2(z0))), 0'(2(z0)), 2'(z0))
   3'(c_3(c_2(c_1(c_3(c_2(c_0(c_2(c_0(c_0(c_3(c_1(c_3(c_0(c_2(c_0(c_2(c_2(z0)))))))))))))))))) -> c81(2'(0(1(3(2(2(2(1(2(3(3(0(3(0(0(0(3(2(z0)))))))))))))))))), 0'(1(3(2(2(2(1(2(3(3(0(3(0(0(0(3(2(z0))))))))))))))))), 1'(3(2(2(2(1(2(3(3(0(3(0(0(0(3(2(z0)))))))))))))))), 3'(2(2(2(1(2(3(3(0(3(0(0(0(3(2(z0))))))))))))))), 2'(2(2(1(2(3(3(0(3(0(0(0(3(2(z0)))))))))))))), 2'(2(1(2(3(3(0(3(0(0(0(3(2(z0))))))))))))), 2'(1(2(3(3(0(3(0(0(0(3(2(z0)))))))))))), 1'(2(3(3(0(3(0(0(0(3(2(z0))))))))))), 2'(3(3(0(3(0(0(0(3(2(z0)))))))))), 3'(3(0(3(0(0(0(3(2(z0))))))))), 3'(0(3(0(0(0(3(2(z0)))))))), 0'(3(0(0(0(3(2(z0))))))), 3'(0(0(0(3(2(z0)))))), 0'(0(0(3(2(z0))))), 0'(0(3(2(z0)))), 0'(3(2(z0))), 3'(2(z0)), 2'(z0))
   3'(c_0(c_2(c_2(c_3(c_2(c_2(c_3(c_2(c_2(c_3(c_3(c_2(c_0(c_1(c_3(c_2(c_3(z0)))))))))))))))))) -> c82(0'(3(3(2(1(3(3(2(2(3(2(2(2(0(3(2(2(3(z0)))))))))))))))))), 3'(3(2(1(3(3(2(2(3(2(2(2(0(3(2(2(3(z0))))))))))))))))), 3'(2(1(3(3(2(2(3(2(2(2(0(3(2(2(3(z0)))))))))))))))), 2'(1(3(3(2(2(3(2(2(2(0(3(2(2(3(z0))))))))))))))), 1'(3(3(2(2(3(2(2(2(0(3(2(2(3(z0)))))))))))))), 3'(3(2(2(3(2(2(2(0(3(2(2(3(z0))))))))))))), 3'(2(2(3(2(2(2(0(3(2(2(3(z0)))))))))))), 2'(2(3(2(2(2(0(3(2(2(3(z0))))))))))), 2'(3(2(2(2(0(3(2(2(3(z0)))))))))), 3'(2(2(2(0(3(2(2(3(z0))))))))), 2'(2(2(0(3(2(2(3(z0)))))))), 2'(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))
   3'(c_0(c_1(c_2(c_1(c_0(c_2(c_1(c_1(c_3(c_0(c_1(c_2(c_3(c_1(c_1(c_1(c_1(z0)))))))))))))))))) -> c83(3'(3(1(1(1(0(1(2(1(1(1(2(2(3(0(1(0(1(z0)))))))))))))))))), 3'(1(1(1(0(1(2(1(1(1(2(2(3(0(1(0(1(z0))))))))))))))))), 1'(1(1(0(1(2(1(1(1(2(2(3(0(1(0(1(z0)))))))))))))))), 1'(1(0(1(2(1(1(1(2(2(3(0(1(0(1(z0))))))))))))))), 1'(0(1(2(1(1(1(2(2(3(0(1(0(1(z0)))))))))))))), 0'(1(2(1(1(1(2(2(3(0(1(0(1(z0))))))))))))), 1'(2(1(1(1(2(2(3(0(1(0(1(z0)))))))))))), 2'(1(1(1(2(2(3(0(1(0(1(z0))))))))))), 1'(1(1(2(2(3(0(1(0(1(z0)))))))))), 1'(1(2(2(3(0(1(0(1(z0))))))))), 1'(2(2(3(0(1(0(1(z0)))))))), 2'(2(3(0(1(0(1(z0))))))), 2'(3(0(1(0(1(z0)))))), 3'(0(1(0(1(z0))))), 0'(1(0(1(z0)))), 1'(0(1(z0))), 0'(1(z0)), 1'(z0))
   3'(c_3(c_2(c_1(c_3(c_0(c_0(c_1(c_3(c_2(c_0(c_0(c_2(c_3(c_3(c_0(c_0(c_2(z0)))))))))))))))))) -> c84(3'(0(0(3(0(3(0(1(2(0(3(1(3(0(3(2(2(2(z0)))))))))))))))))), 0'(0(3(0(3(0(1(2(0(3(1(3(0(3(2(2(2(z0))))))))))))))))), 0'(3(0(3(0(1(2(0(3(1(3(0(3(2(2(2(z0)))))))))))))))), 3'(0(3(0(1(2(0(3(1(3(0(3(2(2(2(z0))))))))))))))), 0'(3(0(1(2(0(3(1(3(0(3(2(2(2(z0)))))))))))))), 3'(0(1(2(0(3(1(3(0(3(2(2(2(z0))))))))))))), 0'(1(2(0(3(1(3(0(3(2(2(2(z0)))))))))))), 1'(2(0(3(1(3(0(3(2(2(2(z0))))))))))), 2'(0(3(1(3(0(3(2(2(2(z0)))))))))), 0'(3(1(3(0(3(2(2(2(z0))))))))), 3'(1(3(0(3(2(2(2(z0)))))))), 1'(3(0(3(2(2(2(z0))))))), 3'(0(3(2(2(2(z0)))))), 0'(3(2(2(2(z0))))), 3'(2(2(2(z0)))), 2'(2(2(z0))), 2'(2(z0)), 2'(z0))
   3'(c_3(c_0(c_2(c_0(c_2(c_0(c_1(c_2(c_0(c_2(c_3(c_0(c_2(c_2(c_0(c_3(c_3(z0)))))))))))))))))) -> c85(3'(2(0(3(2(0(0(0(3(0(3(2(2(2(1(2(0(3(z0)))))))))))))))))), 2'(0(3(2(0(0(0(3(0(3(2(2(2(1(2(0(3(z0))))))))))))))))), 0'(3(2(0(0(0(3(0(3(2(2(2(1(2(0(3(z0)))))))))))))))), 3'(2(0(0(0(3(0(3(2(2(2(1(2(0(3(z0))))))))))))))), 2'(0(0(0(3(0(3(2(2(2(1(2(0(3(z0)))))))))))))), 0'(0(0(3(0(3(2(2(2(1(2(0(3(z0))))))))))))), 0'(0(3(0(3(2(2(2(1(2(0(3(z0)))))))))))), 0'(3(0(3(2(2(2(1(2(0(3(z0))))))))))), 3'(0(3(2(2(2(1(2(0(3(z0)))))))))), 0'(3(2(2(2(1(2(0(3(z0))))))))), 3'(2(2(2(1(2(0(3(z0)))))))), 2'(2(2(1(2(0(3(z0))))))), 2'(2(1(2(0(3(z0)))))), 2'(1(2(0(3(z0))))), 1'(2(0(3(z0)))), 2'(0(3(z0))), 0'(3(z0)), 3'(z0))
   3'(c_2(c_2(c_1(c_2(c_2(c_3(c_1(c_1(c_2(c_0(c_1(c_3(c_1(c_2(c_2(c_1(c_1(z0)))))))))))))))))) -> c86(3'(1(1(1(2(2(1(3(2(3(2(2(1(1(2(0(2(1(z0)))))))))))))))))), 1'(1(1(2(2(1(3(2(3(2(2(1(1(2(0(2(1(z0))))))))))))))))), 1'(1(2(2(1(3(2(3(2(2(1(1(2(0(2(1(z0)))))))))))))))), 1'(2(2(1(3(2(3(2(2(1(1(2(0(2(1(z0))))))))))))))), 2'(2(1(3(2(3(2(2(1(1(2(0(2(1(z0)))))))))))))), 2'(1(3(2(3(2(2(1(1(2(0(2(1(z0))))))))))))), 1'(3(2(3(2(2(1(1(2(0(2(1(z0)))))))))))), 3'(2(3(2(2(1(1(2(0(2(1(z0))))))))))), 2'(3(2(2(1(1(2(0(2(1(z0)))))))))), 3'(2(2(1(1(2(0(2(1(z0))))))))), 2'(2(1(1(2(0(2(1(z0)))))))), 2'(1(1(2(0(2(1(z0))))))), 1'(1(2(0(2(1(z0)))))), 1'(2(0(2(1(z0))))), 2'(0(2(1(z0)))), 0'(2(1(z0))), 2'(1(z0)), 1'(z0))
   3'(c_2(c_2(c_2(c_3(c_2(c_3(c_0(c_1(c_3(c_2(c_1(c_3(c_2(c_3(c_0(c_2(c_1(z0)))))))))))))))))) -> c87(0'(0(3(3(2(1(2(1(3(3(3(3(2(2(2(2(2(1(z0)))))))))))))))))), 0'(3(3(2(1(2(1(3(3(3(3(2(2(2(2(2(1(z0))))))))))))))))), 3'(3(2(1(2(1(3(3(3(3(2(2(2(2(2(1(z0)))))))))))))))), 3'(2(1(2(1(3(3(3(3(2(2(2(2(2(1(z0))))))))))))))), 2'(1(2(1(3(3(3(3(2(2(2(2(2(1(z0)))))))))))))), 1'(2(1(3(3(3(3(2(2(2(2(2(1(z0))))))))))))), 2'(1(3(3(3(3(2(2(2(2(2(1(z0)))))))))))), 1'(3(3(3(3(2(2(2(2(2(1(z0))))))))))), 3'(3(3(3(2(2(2(2(2(1(z0)))))))))), 3'(3(3(2(2(2(2(2(1(z0))))))))), 3'(3(2(2(2(2(2(1(z0)))))))), 3'(2(2(2(2(2(1(z0))))))), 2'(2(2(2(2(1(z0)))))), 2'(2(2(2(1(z0))))), 2'(2(2(1(z0)))), 2'(2(1(z0))), 2'(1(z0)), 1'(z0))
   3'(c_1(c_3(c_2(c_1(c_1(c_3(c_1(c_2(c_2(c_1(c_3(c_2(c_3(c_1(c_0(c_3(c_1(z0)))))))))))))))))) -> c88(3'(1(3(3(1(2(0(1(1(2(2(1(3(3(2(3(1(1(z0)))))))))))))))))), 1'(3(3(1(2(0(1(1(2(2(1(3(3(2(3(1(1(z0))))))))))))))))), 3'(3(1(2(0(1(1(2(2(1(3(3(2(3(1(1(z0)))))))))))))))), 3'(1(2(0(1(1(2(2(1(3(3(2(3(1(1(z0))))))))))))))), 1'(2(0(1(1(2(2(1(3(3(2(3(1(1(z0)))))))))))))), 2'(0(1(1(2(2(1(3(3(2(3(1(1(z0))))))))))))), 0'(1(1(2(2(1(3(3(2(3(1(1(z0)))))))))))), 1'(1(2(2(1(3(3(2(3(1(1(z0))))))))))), 1'(2(2(1(3(3(2(3(1(1(z0)))))))))), 2'(2(1(3(3(2(3(1(1(z0))))))))), 2'(1(3(3(2(3(1(1(z0)))))))), 1'(3(3(2(3(1(1(z0))))))), 3'(3(2(3(1(1(z0)))))), 3'(2(3(1(1(z0))))), 2'(3(1(1(z0)))), 3'(1(1(z0))), 1'(1(z0)), 1'(z0))
   3'(c_2(c_1(c_3(c_1(c_2(c_2(c_2(c_3(c_3(c_0(c_2(c_1(c_3(c_0(c_2(c_0(c_2(z0)))))))))))))))))) -> c89(3'(3(3(2(3(2(2(0(2(2(1(0(3(2(1(2(1(0(z0)))))))))))))))))), 3'(3(2(3(2(2(0(2(2(1(0(3(2(1(2(1(0(z0))))))))))))))))), 3'(2(3(2(2(0(2(2(1(0(3(2(1(2(1(0(z0)))))))))))))))), 2'(3(2(2(0(2(2(1(0(3(2(1(2(1(0(z0))))))))))))))), 3'(2(2(0(2(2(1(0(3(2(1(2(1(0(z0)))))))))))))), 2'(2(0(2(2(1(0(3(2(1(2(1(0(z0))))))))))))), 2'(0(2(2(1(0(3(2(1(2(1(0(z0)))))))))))), 0'(2(2(1(0(3(2(1(2(1(0(z0))))))))))), 2'(2(1(0(3(2(1(2(1(0(z0)))))))))), 2'(1(0(3(2(1(2(1(0(z0))))))))), 1'(0(3(2(1(2(1(0(z0)))))))), 0'(3(2(1(2(1(0(z0))))))), 3'(2(1(2(1(0(z0)))))), 2'(1(2(1(0(z0))))), 1'(2(1(0(z0)))), 2'(1(0(z0))), 1'(0(z0)), 0'(z0))
   3'(c_1(c_0(c_0(c_3(c_0(c_0(c_0(c_0(c_1(c_2(c_0(c_2(c_0(c_2(c_0(c_0(c_1(z0)))))))))))))))))) -> c90(3'(0(0(0(0(0(2(0(0(0(0(3(0(2(1(1(2(1(z0)))))))))))))))))), 0'(0(0(0(0(2(0(0(0(0(3(0(2(1(1(2(1(z0))))))))))))))))), 0'(0(0(0(2(0(0(0(0(3(0(2(1(1(2(1(z0)))))))))))))))), 0'(0(0(2(0(0(0(0(3(0(2(1(1(2(1(z0))))))))))))))), 0'(0(2(0(0(0(0(3(0(2(1(1(2(1(z0)))))))))))))), 0'(2(0(0(0(0(3(0(2(1(1(2(1(z0))))))))))))), 2'(0(0(0(0(3(0(2(1(1(2(1(z0)))))))))))), 0'(0(0(0(3(0(2(1(1(2(1(z0))))))))))), 0'(0(0(3(0(2(1(1(2(1(z0)))))))))), 0'(0(3(0(2(1(1(2(1(z0))))))))), 0'(3(0(2(1(1(2(1(z0)))))))), 3'(0(2(1(1(2(1(z0))))))), 0'(2(1(1(2(1(z0)))))), 2'(1(1(2(1(z0))))), 1'(1(2(1(z0)))), 1'(2(1(z0))), 2'(1(z0)), 1'(z0))
   3'(c_3(c_0(c_3(c_1(c_0(c_0(c_2(c_2(c_2(c_0(c_0(c_0(c_2(c_2(c_1(c_3(c_2(z0)))))))))))))))))) -> c91(0'(3(2(0(3(3(1(2(1(2(2(0(3(0(0(0(2(2(z0)))))))))))))))))), 3'(2(0(3(3(1(2(1(2(2(0(3(0(0(0(2(2(z0))))))))))))))))), 2'(0(3(3(1(2(1(2(2(0(3(0(0(0(2(2(z0)))))))))))))))), 0'(3(3(1(2(1(2(2(0(3(0(0(0(2(2(z0))))))))))))))), 3'(3(1(2(1(2(2(0(3(0(0(0(2(2(z0)))))))))))))), 3'(1(2(1(2(2(0(3(0(0(0(2(2(z0))))))))))))), 1'(2(1(2(2(0(3(0(0(0(2(2(z0)))))))))))), 2'(1(2(2(0(3(0(0(0(2(2(z0))))))))))), 1'(2(2(0(3(0(0(0(2(2(z0)))))))))), 2'(2(0(3(0(0(0(2(2(z0))))))))), 2'(0(3(0(0(0(2(2(z0)))))))), 0'(3(0(0(0(2(2(z0))))))), 3'(0(0(0(2(2(z0)))))), 0'(0(0(2(2(z0))))), 0'(0(2(2(z0)))), 0'(2(2(z0))), 2'(2(z0)), 2'(z0))
   ENCODE_0(z0) -> c8(0'(encArg(z0)))
   ENCODE_1(z0) -> c8(1'(encArg(z0)))
   ENCODE_3(z0) -> c8(3'(encArg(z0)))
   ENCODE_2(z0) -> c8(2'(encArg(z0)))
S tuples:
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   3'(c_3(c_2(c_1(c_3(c_2(c_0(c_2(c_0(c_0(c_3(c_1(c_3(c_0(c_2(c_0(c_2(c_2(z0)))))))))))))))))) -> c81(2'(0(1(3(2(2(2(1(2(3(3(0(3(0(0(0(3(2(z0)))))))))))))))))), 0'(1(3(2(2(2(1(2(3(3(0(3(0(0(0(3(2(z0))))))))))))))))), 1'(3(2(2(2(1(2(3(3(0(3(0(0(0(3(2(z0)))))))))))))))), 3'(2(2(2(1(2(3(3(0(3(0(0(0(3(2(z0))))))))))))))), 2'(2(2(1(2(3(3(0(3(0(0(0(3(2(z0)))))))))))))), 2'(2(1(2(3(3(0(3(0(0(0(3(2(z0))))))))))))), 2'(1(2(3(3(0(3(0(0(0(3(2(z0)))))))))))), 1'(2(3(3(0(3(0(0(0(3(2(z0))))))))))), 2'(3(3(0(3(0(0(0(3(2(z0)))))))))), 3'(3(0(3(0(0(0(3(2(z0))))))))), 3'(0(3(0(0(0(3(2(z0)))))))), 0'(3(0(0(0(3(2(z0))))))), 3'(0(0(0(3(2(z0)))))), 0'(0(0(3(2(z0))))), 0'(0(3(2(z0)))), 0'(3(2(z0))), 3'(2(z0)), 2'(z0))
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K tuples:none
Defined Rule Symbols:   encArg_1, 0_1, 1_1, 2_1, 3_1

Defined Pair Symbols:   ENCARG_1, 0'_1, 1'_1, 2'_1, 3'_1, ENCODE_0_1, ENCODE_1_1, ENCODE_3_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, c30_18, c31_18, c32_18, c33_18, c34_18, c35_18, c36_18, c37_18, c38_18, c39_18, c40_18, c41_18, c42_18, c44_18, c45_18, c46_18, c47_18, c48_18, c49_18, c50_18, c51_18, c52_18, c53_18, c54_18, c55_18, c56_18, c57_18, c58_18, c59_18, c60_18, c61_18, c62_18, c63_18, c64_18, c65_18, c67_18, c68_18, c69_18, c70_18, c71_18, c72_18, c73_18, c74_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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(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_2(c_0(c_3(c_3(c_2(c_3(c_1(c_3(c_1(c_0(c_2(c_1(c_3(c_0(c_2(c_0(z0)))))))))))))))))) -> 0(0(1(1(3(0(3(3(1(2(0(2(3(0(2(2(0(3(z0))))))))))))))))))
   0(c_0(c_2(c_0(c_3(c_0(c_2(c_2(c_3(c_0(c_2(c_0(c_0(c_2(c_3(c_0(c_0(c_2(z0)))))))))))))))))) -> 0(0(3(2(2(0(2(0(0(0(2(2(0(3(0(0(3(2(z0))))))))))))))))))
   0(c_0(c_0(c_1(c_3(c_3(c_2(c_2(c_3(c_0(c_0(c_1(c_3(c_2(c_2(c_3(c_3(c_2(z0)))))))))))))))))) -> 3(0(2(3(0(3(0(3(0(0(1(2(3(3(1(2(2(2(z0))))))))))))))))))
   0(c_0(c_0(c_2(c_2(c_3(c_0(c_0(c_1(c_0(c_0(c_0(c_1(c_0(c_3(c_1(c_2(c_2(z0)))))))))))))))))) -> 0(0(0(3(2(0(1(3(0(2(1(0(0(1(2(0(0(2(z0))))))))))))))))))
   0(c_1(c_0(c_2(c_2(c_1(c_2(c_1(c_3(c_1(c_1(c_2(c_0(c_1(c_2(c_0(c_1(c_0(z0)))))))))))))))))) -> 2(0(0(3(1(2(2(1(2(0(1(0(1(2(1(1(1(0(z0))))))))))))))))))
   0(c_2(c_1(c_0(c_2(c_0(c_3(c_0(c_1(c_0(c_2(c_0(c_2(c_0(c_1(c_2(c_0(c_3(z0)))))))))))))))))) -> 0(2(1(2(0(2(1(2(0(3(0(0(3(2(1(0(0(0(z0))))))))))))))))))
   0(c_1(c_2(c_3(c_3(c_3(c_1(c_3(c_3(c_3(c_2(c_3(c_1(c_2(c_0(c_1(c_3(c_1(z0)))))))))))))))))) -> 2(3(0(3(3(3(1(1(3(0(3(1(3(2(3(1(2(1(z0))))))))))))))))))
   0(c_1(c_1(c_1(c_3(c_0(c_1(c_3(c_1(c_2(c_0(c_2(c_1(c_2(c_2(c_0(c_3(c_0(z0)))))))))))))))))) -> 3(0(3(2(2(1(1(1(2(0(1(1(2(1(3(0(0(0(z0))))))))))))))))))
   0(c_1(c_3(c_2(c_3(c_1(c_1(c_3(c_2(c_2(c_0(c_0(c_1(c_3(c_2(c_3(c_3(c_3(z0)))))))))))))))))) -> 2(3(0(3(3(3(1(0(0(1(2(1(3(2(3(2(1(3(z0))))))))))))))))))
   0(c_1(c_0(c_0(c_2(c_2(c_2(c_3(c_2(c_1(c_3(c_2(c_3(c_3(c_1(c_0(c_1(c_0(z0)))))))))))))))))) -> 0(1(2(3(0(3(3(0(2(0(1(0(2(1(3(2(1(2(z0))))))))))))))))))
   0(c_3(c_2(c_3(c_1(c_0(c_0(c_1(c_0(c_0(c_1(c_2(c_3(c_2(c_1(c_1(c_0(c_1(z0)))))))))))))))))) -> 3(0(0(3(1(1(0(0(2(1(2(2(0(1(1(0(3(1(z0))))))))))))))))))
   0(c_2(c_0(c_1(c_0(c_0(c_0(c_1(c_0(c_3(c_0(c_2(c_3(c_3(c_3(c_3(c_0(c_3(z0)))))))))))))))))) -> 0(3(0(0(0(3(3(2(0(1(1(0(2(3(0(0(3(3(z0))))))))))))))))))
   0(c_2(c_0(c_1(c_3(c_1(c_0(c_0(c_3(c_2(c_0(c_2(c_2(c_3(c_0(c_1(c_0(c_0(z0)))))))))))))))))) -> 1(0(0(3(2(1(2(2(2(0(0(3(1(0(0(0(3(0(z0))))))))))))))))))
   0(c_1(c_2(c_2(c_3(c_1(c_3(c_3(c_1(c_3(c_2(c_2(c_3(c_3(c_0(c_2(c_0(c_2(z0)))))))))))))))))) -> 0(1(2(3(0(3(3(3(3(2(2(1(2(0(2(3(1(2(z0))))))))))))))))))
   0(c_3(c_1(c_1(c_2(c_2(c_0(c_0(c_0(c_1(c_3(c_2(c_3(c_3(c_3(c_3(c_3(c_3(z0)))))))))))))))))) -> 3(0(3(2(3(3(0(0(3(2(1(1(0(3(1(2(3(3(z0))))))))))))))))))
   0(c_3(c_1(c_2(c_1(c_0(c_2(c_1(c_3(c_0(c_3(c_2(c_3(c_2(c_3(c_0(c_1(c_2(z0)))))))))))))))))) -> 3(0(2(3(0(3(1(2(1(2(3(0(3(1(0(2(1(2(z0))))))))))))))))))
   0(c_1(c_2(c_3(c_0(c_2(c_1(c_1(c_3(c_3(c_3(c_2(c_3(c_1(c_3(c_1(c_3(c_1(z0)))))))))))))))))) -> 2(1(3(2(3(1(1(3(3(0(3(3(0(3(2(1(1(1(z0))))))))))))))))))
   0(c_0(c_2(c_0(c_1(c_1(c_3(c_0(c_2(c_3(c_2(c_2(c_0(c_2(c_3(c_3(c_1(c_2(z0)))))))))))))))))) -> 0(0(3(2(1(0(0(3(1(3(0(3(2(2(1(2(2(2(z0))))))))))))))))))
   0(c_3(c_3(c_2(c_3(c_1(c_3(c_2(c_0(c_0(c_2(c_1(c_3(c_1(c_3(c_2(c_3(c_3(z0)))))))))))))))))) -> 3(2(2(3(2(0(1(2(1(3(1(3(0(3(0(3(3(3(z0))))))))))))))))))
   0(c_0(c_1(c_3(c_1(c_0(c_0(c_1(c_3(c_3(c_0(c_0(c_1(c_2(c_2(c_1(c_1(c_1(z0)))))))))))))))))) -> 3(3(0(2(0(0(0(0(1(0(2(1(3(1(1(1(1(1(z0))))))))))))))))))
   1(z0) -> c_1(z0)
   1(c_2(c_3(c_0(c_1(c_0(c_3(c_1(c_2(c_3(c_1(c_1(c_1(c_1(c_3(c_2(c_3(c_0(z0)))))))))))))))))) -> 1(1(2(1(1(3(0(3(3(2(1(2(0(3(1(1(3(0(z0))))))))))))))))))
   1(c_3(c_1(c_3(c_1(c_1(c_1(c_2(c_1(c_3(c_0(c_1(c_2(c_1(c_3(c_1(c_1(c_0(z0)))))))))))))))))) -> 1(0(1(1(1(3(3(2(3(0(1(2(1(1(1(1(1(3(z0))))))))))))))))))
   1(c_1(c_0(c_3(c_1(c_2(c_0(c_0(c_1(c_3(c_2(c_1(c_2(c_0(c_3(c_0(c_2(c_2(z0)))))))))))))))))) -> 1(1(2(2(3(2(1(0(0(3(2(3(0(0(0(1(1(2(z0))))))))))))))))))
   1(c_2(c_2(c_0(c_3(c_1(c_3(c_0(c_0(c_1(c_3(c_3(c_0(c_3(c_2(c_3(c_1(c_2(z0)))))))))))))))))) -> 1(0(2(3(3(3(3(0(2(0(3(1(0(3(1(2(1(2(z0))))))))))))))))))
   1(c_1(c_0(c_0(c_0(c_2(c_0(c_1(c_0(c_1(c_1(c_0(c_3(c_2(c_1(c_0(c_0(c_2(z0)))))))))))))))))) -> 1(1(2(1(1(0(0(2(3(0(0(0(0(1(1(0(0(2(z0))))))))))))))))))
   1(c_3(c_1(c_3(c_2(c_0(c_0(c_0(c_1(c_3(c_1(c_0(c_2(c_2(c_2(c_1(c_0(c_2(z0)))))))))))))))))) -> 1(0(1(1(2(2(0(3(3(0(1(0(1(2(2(3(0(2(z0))))))))))))))))))
   1(c_0(c_0(c_0(c_3(c_0(c_2(c_1(c_3(c_3(c_1(c_2(c_2(c_3(c_1(c_3(c_2(c_1(z0)))))))))))))))))) -> 1(2(1(3(3(0(3(0(3(1(0(2(2(3(1(0(2(1(z0))))))))))))))))))
   1(c_3(c_3(c_1(c_3(c_1(c_3(c_0(c_1(c_0(c_2(c_3(c_1(c_1(c_1(c_3(c_0(c_3(z0)))))))))))))))))) -> 1(1(1(2(1(3(0(0(3(3(3(0(1(1(3(3(1(3(z0))))))))))))))))))
   1(c_2(c_2(c_2(c_2(c_0(c_3(c_3(c_2(c_1(c_3(c_0(c_2(c_1(c_3(c_2(c_0(c_3(z0)))))))))))))))))) -> 1(2(2(1(2(1(2(0(2(3(2(2(0(0(3(3(3(3(z0))))))))))))))))))
   1(c_3(c_0(c_2(c_0(c_3(c_2(c_2(c_1(c_3(c_2(c_3(c_2(c_2(c_2(c_1(c_3(c_2(z0)))))))))))))))))) -> 1(3(2(1(2(2(3(3(3(2(1(3(2(0(0(2(2(2(z0))))))))))))))))))
   1(c_3(c_2(c_2(c_0(c_3(c_1(c_1(c_3(c_1(c_3(c_0(c_2(c_1(c_2(c_2(c_0(c_3(z0)))))))))))))))))) -> 1(1(2(1(0(1(2(3(3(0(3(0(3(2(2(1(2(3(z0))))))))))))))))))
   1(c_0(c_2(c_1(c_2(c_3(c_3(c_0(c_1(c_0(c_2(c_3(c_0(c_1(c_1(c_3(c_3(c_1(z0)))))))))))))))))) -> 1(2(1(1(1(3(0(3(0(3(1(0(3(2(2(0(3(1(z0))))))))))))))))))
   1(c_0(c_2(c_0(c_0(c_0(c_1(c_2(c_3(c_0(c_1(c_2(c_2(c_2(c_1(c_2(c_2(c_0(z0)))))))))))))))))) -> 1(2(2(0(0(1(1(0(0(2(2(2(2(1(2(0(0(3(z0))))))))))))))))))
   2(z0) -> c_2(z0)
   2(c_2(c_2(c_3(c_0(c_1(c_3(c_2(c_1(c_3(c_3(c_2(c_1(c_2(c_2(c_1(c_2(c_3(z0)))))))))))))))))) -> 2(2(2(1(1(2(3(2(3(2(2(0(3(1(2(1(3(3(z0))))))))))))))))))
   2(c_2(c_1(c_3(c_1(c_3(c_0(c_0(c_2(c_1(c_2(c_2(c_2(c_1(c_1(c_1(c_0(c_1(z0)))))))))))))))))) -> 0(2(2(3(3(1(1(2(0(2(1(1(2(1(0(1(2(1(z0))))))))))))))))))
   2(c_0(c_0(c_1(c_3(c_1(c_3(c_2(c_1(c_0(c_0(c_2(c_2(c_2(c_0(c_2(c_0(c_3(z0)))))))))))))))))) -> 0(2(2(2(0(2(1(0(0(3(0(0(1(2(2(1(3(3(z0))))))))))))))))))
   2(c_3(c_2(c_3(c_1(c_2(c_0(c_1(c_3(c_0(c_1(c_3(c_2(c_1(c_0(c_2(c_3(c_3(z0)))))))))))))))))) -> 0(3(1(0(2(2(1(2(2(1(3(3(3(1(0(2(3(3(z0))))))))))))))))))
   2(c_1(c_2(c_2(c_2(c_2(c_2(c_0(c_1(c_3(c_2(c_0(c_0(c_1(c_2(c_3(c_1(c_2(z0)))))))))))))))))) -> 2(1(2(2(1(0(0(3(3(0(1(2(2(2(2(2(1(2(z0))))))))))))))))))
   2(c_2(c_3(c_2(c_2(c_3(c_1(c_0(c_2(c_3(c_1(c_1(c_1(c_0(c_0(c_1(c_0(c_2(z0)))))))))))))))))) -> 0(2(1(1(2(2(0(3(3(0(1(1(2(2(1(0(3(2(z0))))))))))))))))))
   2(c_3(c_3(c_2(c_1(c_0(c_3(c_0(c_0(c_0(c_3(c_3(c_1(c_3(c_0(c_0(c_0(c_3(z0)))))))))))))))))) -> 2(1(0(3(0(3(0(3(3(3(0(0(0(0(2(1(3(3(z0))))))))))))))))))
   2(c_1(c_0(c_3(c_1(c_3(c_1(c_2(c_2(c_2(c_2(c_1(c_2(c_3(c_1(c_3(c_0(c_2(z0)))))))))))))))))) -> 2(3(3(2(1(2(0(3(1(2(2(1(0(3(2(2(1(1(z0))))))))))))))))))
   2(c_2(c_3(c_1(c_1(c_1(c_3(c_1(c_2(c_0(c_1(c_2(c_2(c_0(c_1(c_2(c_2(c_2(z0)))))))))))))))))) -> 2(2(1(2(1(3(1(1(2(3(2(2(0(1(2(0(1(2(z0))))))))))))))))))
   2(c_2(c_2(c_2(c_3(c_2(c_0(c_1(c_3(c_1(c_2(c_2(c_2(c_1(c_3(c_2(c_3(c_3(z0)))))))))))))))))) -> 2(3(1(2(2(1(2(2(1(0(2(2(2(2(3(3(3(3(z0))))))))))))))))))
   2(c_0(c_2(c_2(c_3(c_1(c_0(c_3(c_2(c_3(c_0(c_3(c_2(c_0(c_0(c_2(c_0(c_2(z0)))))))))))))))))) -> 2(0(0(2(3(0(3(3(0(3(2(0(1(2(2(2(0(2(z0))))))))))))))))))
   2(c_1(c_3(c_0(c_0(c_2(c_2(c_1(c_1(c_3(c_1(c_3(c_1(c_0(c_0(c_2(c_1(c_2(z0)))))))))))))))))) -> 0(1(2(1(0(1(2(1(0(0(1(1(2(3(3(3(2(2(z0))))))))))))))))))
   2(c_0(c_3(c_0(c_0(c_1(c_3(c_1(c_2(c_0(c_2(c_1(c_3(c_0(c_2(c_2(c_0(c_0(z0)))))))))))))))))) -> 0(0(3(0(3(2(1(2(1(2(2(1(2(0(0(0(3(0(z0))))))))))))))))))
   2(c_0(c_2(c_0(c_3(c_0(c_0(c_2(c_2(c_1(c_1(c_0(c_3(c_1(c_0(c_3(c_1(c_1(z0)))))))))))))))))) -> 2(0(0(3(3(2(2(1(0(1(0(1(0(3(2(1(0(1(z0))))))))))))))))))
   2(c_2(c_0(c_0(c_3(c_0(c_1(c_3(c_1(c_0(c_2(c_2(c_2(c_3(c_0(c_1(c_2(c_0(z0)))))))))))))))))) -> 0(2(0(3(2(3(2(1(0(2(0(2(1(0(1(0(2(3(z0))))))))))))))))))
   2(c_0(c_0(c_0(c_1(c_1(c_3(c_1(c_1(c_1(c_2(c_2(c_2(c_2(c_2(c_0(c_1(c_3(z0)))))))))))))))))) -> 2(0(1(2(0(0(3(2(2(1(1(1(1(2(2(1(3(0(z0))))))))))))))))))
   2(c_0(c_3(c_1(c_0(c_3(c_2(c_1(c_0(c_2(c_3(c_1(c_0(c_2(c_2(c_1(c_1(c_1(z0)))))))))))))))))) -> 2(1(2(2(2(0(1(1(0(0(3(3(1(3(0(2(1(1(z0))))))))))))))))))
   2(c_1(c_2(c_1(c_3(c_0(c_2(c_2(c_3(c_2(c_3(c_1(c_1(c_1(c_3(c_3(c_0(c_2(z0)))))))))))))))))) -> 2(1(2(1(3(2(1(2(3(2(3(3(0(0(3(1(2(1(z0))))))))))))))))))
   2(c_2(c_1(c_3(c_3(c_0(c_0(c_2(c_1(c_3(c_0(c_1(c_2(c_2(c_2(c_2(c_3(c_3(z0)))))))))))))))))) -> 2(0(2(2(0(2(1(0(3(2(2(1(1(3(2(3(3(3(z0))))))))))))))))))
   2(c_1(c_2(c_3(c_1(c_3(c_2(c_0(c_2(c_2(c_3(c_3(c_3(c_2(c_3(c_1(c_3(c_3(z0)))))))))))))))))) -> 2(3(3(2(2(1(3(2(3(2(1(0(3(3(1(2(3(3(z0))))))))))))))))))
   2(c_0(c_1(c_0(c_1(c_2(c_2(c_2(c_2(c_3(c_3(c_1(c_1(c_1(c_1(c_2(c_1(c_2(z0)))))))))))))))))) -> 0(2(2(1(1(1(2(1(0(3(3(2(2(1(1(2(1(2(z0))))))))))))))))))
   2(c_3(c_0(c_1(c_3(c_1(c_3(c_3(c_0(c_3(c_0(c_2(c_0(c_3(c_1(c_3(c_2(c_3(z0)))))))))))))))))) -> 0(2(0(3(3(3(2(1(3(0(3(3(3(3(1(1(2(0(z0))))))))))))))))))
   3(z0) -> c_3(z0)
   3(c_0(c_0(c_3(c_1(c_3(c_0(c_2(c_0(c_2(c_0(c_0(c_1(c_0(c_3(c_2(c_3(c_2(z0)))))))))))))))))) -> 0(0(3(2(3(3(0(0(0(3(2(0(1(2(3(1(0(2(z0))))))))))))))))))
   3(c_3(c_0(c_2(c_3(c_0(c_1(c_3(c_3(c_3(c_1(c_2(c_1(c_3(c_2(c_2(c_0(c_3(z0)))))))))))))))))) -> 2(3(1(1(0(1(2(0(3(3(3(2(3(2(3(3(0(3(z0))))))))))))))))))
   3(c_3(c_3(c_2(c_3(c_0(c_2(c_2(c_3(c_1(c_2(c_3(c_0(c_3(c_3(c_2(c_2(c_2(z0)))))))))))))))))) -> 3(0(3(2(2(2(0(3(3(3(2(2(3(2(1(3(3(2(z0))))))))))))))))))
   3(c_1(c_1(c_1(c_3(c_1(c_3(c_3(c_3(c_2(c_3(c_0(c_0(c_2(c_3(c_1(c_3(c_1(z0)))))))))))))))))) -> 3(3(1(2(2(3(0(1(0(3(3(3(1(1(1(3(3(1(z0))))))))))))))))))
   3(c_3(c_2(c_0(c_0(c_1(c_0(c_2(c_3(c_3(c_0(c_3(c_1(c_3(c_3(c_1(c_3(c_3(z0)))))))))))))))))) -> 0(0(3(3(1(1(0(2(2(3(1(3(3(0(3(3(3(3(z0))))))))))))))))))
   3(c_1(c_3(c_2(c_1(c_3(c_1(c_0(c_3(c_2(c_0(c_2(c_0(c_3(c_0(c_2(c_3(c_3(z0)))))))))))))))))) -> 2(2(0(1(2(1(0(3(3(3(0(3(2(1(3(3(3(0(z0))))))))))))))))))
   3(c_1(c_3(c_1(c_1(c_1(c_1(c_3(c_2(c_0(c_0(c_2(c_2(c_2(c_1(c_3(c_3(c_1(z0)))))))))))))))))) -> 3(1(0(3(1(1(0(2(2(2(3(1(2(1(1(3(3(1(z0))))))))))))))))))
   3(c_0(c_0(c_2(c_2(c_2(c_1(c_3(c_1(c_3(c_3(c_3(c_2(c_0(c_2(c_3(c_3(c_3(z0)))))))))))))))))) -> 2(1(2(1(2(3(3(0(2(3(0(3(3(3(2(0(3(3(z0))))))))))))))))))
   3(c_3(c_3(c_1(c_3(c_1(c_3(c_0(c_3(c_3(c_2(c_0(c_1(c_3(c_0(c_1(c_2(c_3(z0)))))))))))))))))) -> 3(3(3(1(1(3(1(3(3(3(2(3(0(3(1(2(0(0(z0))))))))))))))))))
   3(c_0(c_0(c_0(c_2(c_0(c_3(c_2(c_0(c_2(c_2(c_2(c_0(c_0(c_1(c_3(c_0(c_2(z0)))))))))))))))))) -> 0(0(2(1(2(3(0(3(2(0(2(0(0(3(0(2(0(2(z0))))))))))))))))))
   3(c_2(c_3(c_0(c_2(c_2(c_2(c_2(c_0(c_0(c_0(c_1(c_1(c_1(c_3(c_0(c_2(c_3(z0)))))))))))))))))) -> 3(0(2(3(2(0(3(1(2(0(2(1(0(3(2(1(2(0(z0))))))))))))))))))
   3(c_2(c_0(c_0(c_0(c_2(c_3(c_3(c_1(c_1(c_0(c_1(c_3(c_2(c_3(c_3(c_0(c_0(z0)))))))))))))))))) -> 3(0(2(1(2(3(3(0(3(1(0(1(2(3(3(0(0(0(z0))))))))))))))))))
   3(c_0(c_3(c_2(c_2(c_0(c_2(c_0(c_0(c_0(c_1(c_3(c_2(c_3(c_3(c_0(c_3(c_0(z0)))))))))))))))))) -> 3(0(2(0(1(2(2(0(3(0(2(0(3(0(3(3(3(0(z0))))))))))))))))))
   3(c_0(c_2(c_2(c_0(c_1(c_2(c_0(c_0(c_2(c_0(c_2(c_2(c_2(c_3(c_1(c_0(c_2(z0)))))))))))))))))) -> 0(2(1(2(2(3(0(0(3(2(2(1(2(0(2(0(0(2(z0))))))))))))))))))
   3(c_3(c_2(c_1(c_3(c_2(c_0(c_2(c_0(c_0(c_3(c_1(c_3(c_0(c_2(c_0(c_2(c_2(z0)))))))))))))))))) -> 2(0(1(3(2(2(2(1(2(3(3(0(3(0(0(0(3(2(z0))))))))))))))))))
   3(c_0(c_2(c_2(c_3(c_2(c_2(c_3(c_2(c_2(c_3(c_3(c_2(c_0(c_1(c_3(c_2(c_3(z0)))))))))))))))))) -> 0(3(3(2(1(3(3(2(2(3(2(2(2(0(3(2(2(3(z0))))))))))))))))))
   3(c_0(c_1(c_2(c_1(c_0(c_2(c_1(c_1(c_3(c_0(c_1(c_2(c_3(c_1(c_1(c_1(c_1(z0)))))))))))))))))) -> 3(3(1(1(1(0(1(2(1(1(1(2(2(3(0(1(0(1(z0))))))))))))))))))
   3(c_3(c_2(c_1(c_3(c_0(c_0(c_1(c_3(c_2(c_0(c_0(c_2(c_3(c_3(c_0(c_0(c_2(z0)))))))))))))))))) -> 3(0(0(3(0(3(0(1(2(0(3(1(3(0(3(2(2(2(z0))))))))))))))))))
   3(c_3(c_0(c_2(c_0(c_2(c_0(c_1(c_2(c_0(c_2(c_3(c_0(c_2(c_2(c_0(c_3(c_3(z0)))))))))))))))))) -> 3(2(0(3(2(0(0(0(3(0(3(2(2(2(1(2(0(3(z0))))))))))))))))))
   3(c_2(c_2(c_1(c_2(c_2(c_3(c_1(c_1(c_2(c_0(c_1(c_3(c_1(c_2(c_2(c_1(c_1(z0)))))))))))))))))) -> 3(1(1(1(2(2(1(3(2(3(2(2(1(1(2(0(2(1(z0))))))))))))))))))
   3(c_2(c_2(c_2(c_3(c_2(c_3(c_0(c_1(c_3(c_2(c_1(c_3(c_2(c_3(c_0(c_2(c_1(z0)))))))))))))))))) -> 0(0(3(3(2(1(2(1(3(3(3(3(2(2(2(2(2(1(z0))))))))))))))))))
   3(c_1(c_3(c_2(c_1(c_1(c_3(c_1(c_2(c_2(c_1(c_3(c_2(c_3(c_1(c_0(c_3(c_1(z0)))))))))))))))))) -> 3(1(3(3(1(2(0(1(1(2(2(1(3(3(2(3(1(1(z0))))))))))))))))))
   3(c_2(c_1(c_3(c_1(c_2(c_2(c_2(c_3(c_3(c_0(c_2(c_1(c_3(c_0(c_2(c_0(c_2(z0)))))))))))))))))) -> 3(3(3(2(3(2(2(0(2(2(1(0(3(2(1(2(1(0(z0))))))))))))))))))
   3(c_1(c_0(c_0(c_3(c_0(c_0(c_0(c_0(c_1(c_2(c_0(c_2(c_0(c_2(c_0(c_0(c_1(z0)))))))))))))))))) -> 3(0(0(0(0(0(2(0(0(0(0(3(0(2(1(1(2(1(z0))))))))))))))))))
   3(c_3(c_0(c_3(c_1(c_0(c_0(c_2(c_2(c_2(c_0(c_0(c_0(c_2(c_2(c_1(c_3(c_2(z0)))))))))))))))))) -> 0(3(2(0(3(3(1(2(1(2(2(0(3(0(0(0(2(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_2(c_0(c_3(c_3(c_2(c_3(c_1(c_3(c_1(c_0(c_2(c_1(c_3(c_0(c_2(c_0(z0)))))))))))))))))) -> c9(0'(0(1(1(3(0(3(3(1(2(0(2(3(0(2(2(0(3(z0)))))))))))))))))), 0'(1(1(3(0(3(3(1(2(0(2(3(0(2(2(0(3(z0))))))))))))))))), 1'(1(3(0(3(3(1(2(0(2(3(0(2(2(0(3(z0)))))))))))))))), 1'(3(0(3(3(1(2(0(2(3(0(2(2(0(3(z0))))))))))))))), 3'(0(3(3(1(2(0(2(3(0(2(2(0(3(z0)))))))))))))), 0'(3(3(1(2(0(2(3(0(2(2(0(3(z0))))))))))))), 3'(3(1(2(0(2(3(0(2(2(0(3(z0)))))))))))), 3'(1(2(0(2(3(0(2(2(0(3(z0))))))))))), 1'(2(0(2(3(0(2(2(0(3(z0)))))))))), 2'(0(2(3(0(2(2(0(3(z0))))))))), 0'(2(3(0(2(2(0(3(z0)))))))), 2'(3(0(2(2(0(3(z0))))))), 3'(0(2(2(0(3(z0)))))), 0'(2(2(0(3(z0))))), 2'(2(0(3(z0)))), 2'(0(3(z0))), 0'(3(z0)), 3'(z0))
   0'(c_0(c_2(c_0(c_3(c_0(c_2(c_2(c_3(c_0(c_2(c_0(c_0(c_2(c_3(c_0(c_0(c_2(z0)))))))))))))))))) -> c10(0'(0(3(2(2(0(2(0(0(0(2(2(0(3(0(0(3(2(z0)))))))))))))))))), 0'(3(2(2(0(2(0(0(0(2(2(0(3(0(0(3(2(z0))))))))))))))))), 3'(2(2(0(2(0(0(0(2(2(0(3(0(0(3(2(z0)))))))))))))))), 2'(2(0(2(0(0(0(2(2(0(3(0(0(3(2(z0))))))))))))))), 2'(0(2(0(0(0(2(2(0(3(0(0(3(2(z0)))))))))))))), 0'(2(0(0(0(2(2(0(3(0(0(3(2(z0))))))))))))), 2'(0(0(0(2(2(0(3(0(0(3(2(z0)))))))))))), 0'(0(0(2(2(0(3(0(0(3(2(z0))))))))))), 0'(0(2(2(0(3(0(0(3(2(z0)))))))))), 0'(2(2(0(3(0(0(3(2(z0))))))))), 2'(2(0(3(0(0(3(2(z0)))))))), 2'(0(3(0(0(3(2(z0))))))), 0'(3(0(0(3(2(z0)))))), 3'(0(0(3(2(z0))))), 0'(0(3(2(z0)))), 0'(3(2(z0))), 3'(2(z0)), 2'(z0))
   0'(c_0(c_0(c_1(c_3(c_3(c_2(c_2(c_3(c_0(c_0(c_1(c_3(c_2(c_2(c_3(c_3(c_2(z0)))))))))))))))))) -> c11(3'(0(2(3(0(3(0(3(0(0(1(2(3(3(1(2(2(2(z0)))))))))))))))))), 0'(2(3(0(3(0(3(0(0(1(2(3(3(1(2(2(2(z0))))))))))))))))), 2'(3(0(3(0(3(0(0(1(2(3(3(1(2(2(2(z0)))))))))))))))), 3'(0(3(0(3(0(0(1(2(3(3(1(2(2(2(z0))))))))))))))), 0'(3(0(3(0(0(1(2(3(3(1(2(2(2(z0)))))))))))))), 3'(0(3(0(0(1(2(3(3(1(2(2(2(z0))))))))))))), 0'(3(0(0(1(2(3(3(1(2(2(2(z0)))))))))))), 3'(0(0(1(2(3(3(1(2(2(2(z0))))))))))), 0'(0(1(2(3(3(1(2(2(2(z0)))))))))), 0'(1(2(3(3(1(2(2(2(z0))))))))), 1'(2(3(3(1(2(2(2(z0)))))))), 2'(3(3(1(2(2(2(z0))))))), 3'(3(1(2(2(2(z0)))))), 3'(1(2(2(2(z0))))), 1'(2(2(2(z0)))), 2'(2(2(z0))), 2'(2(z0)), 2'(z0))
   0'(c_0(c_0(c_2(c_2(c_3(c_0(c_0(c_1(c_0(c_0(c_0(c_1(c_0(c_3(c_1(c_2(c_2(z0)))))))))))))))))) -> c12(0'(0(0(3(2(0(1(3(0(2(1(0(0(1(2(0(0(2(z0)))))))))))))))))), 0'(0(3(2(0(1(3(0(2(1(0(0(1(2(0(0(2(z0))))))))))))))))), 0'(3(2(0(1(3(0(2(1(0(0(1(2(0(0(2(z0)))))))))))))))), 3'(2(0(1(3(0(2(1(0(0(1(2(0(0(2(z0))))))))))))))), 2'(0(1(3(0(2(1(0(0(1(2(0(0(2(z0)))))))))))))), 0'(1(3(0(2(1(0(0(1(2(0(0(2(z0))))))))))))), 1'(3(0(2(1(0(0(1(2(0(0(2(z0)))))))))))), 3'(0(2(1(0(0(1(2(0(0(2(z0))))))))))), 0'(2(1(0(0(1(2(0(0(2(z0)))))))))), 2'(1(0(0(1(2(0(0(2(z0))))))))), 1'(0(0(1(2(0(0(2(z0)))))))), 0'(0(1(2(0(0(2(z0))))))), 0'(1(2(0(0(2(z0)))))), 1'(2(0(0(2(z0))))), 2'(0(0(2(z0)))), 0'(0(2(z0))), 0'(2(z0)), 2'(z0))
   0'(c_1(c_0(c_2(c_2(c_1(c_2(c_1(c_3(c_1(c_1(c_2(c_0(c_1(c_2(c_0(c_1(c_0(z0)))))))))))))))))) -> c13(2'(0(0(3(1(2(2(1(2(0(1(0(1(2(1(1(1(0(z0)))))))))))))))))), 0'(0(3(1(2(2(1(2(0(1(0(1(2(1(1(1(0(z0))))))))))))))))), 0'(3(1(2(2(1(2(0(1(0(1(2(1(1(1(0(z0)))))))))))))))), 3'(1(2(2(1(2(0(1(0(1(2(1(1(1(0(z0))))))))))))))), 1'(2(2(1(2(0(1(0(1(2(1(1(1(0(z0)))))))))))))), 2'(2(1(2(0(1(0(1(2(1(1(1(0(z0))))))))))))), 2'(1(2(0(1(0(1(2(1(1(1(0(z0)))))))))))), 1'(2(0(1(0(1(2(1(1(1(0(z0))))))))))), 2'(0(1(0(1(2(1(1(1(0(z0)))))))))), 0'(1(0(1(2(1(1(1(0(z0))))))))), 1'(0(1(2(1(1(1(0(z0)))))))), 0'(1(2(1(1(1(0(z0))))))), 1'(2(1(1(1(0(z0)))))), 2'(1(1(1(0(z0))))), 1'(1(1(0(z0)))), 1'(1(0(z0))), 1'(0(z0)), 0'(z0))
   0'(c_2(c_1(c_0(c_2(c_0(c_3(c_0(c_1(c_0(c_2(c_0(c_2(c_0(c_1(c_2(c_0(c_3(z0)))))))))))))))))) -> c14(0'(2(1(2(0(2(1(2(0(3(0(0(3(2(1(0(0(0(z0)))))))))))))))))), 2'(1(2(0(2(1(2(0(3(0(0(3(2(1(0(0(0(z0))))))))))))))))), 1'(2(0(2(1(2(0(3(0(0(3(2(1(0(0(0(z0)))))))))))))))), 2'(0(2(1(2(0(3(0(0(3(2(1(0(0(0(z0))))))))))))))), 0'(2(1(2(0(3(0(0(3(2(1(0(0(0(z0)))))))))))))), 2'(1(2(0(3(0(0(3(2(1(0(0(0(z0))))))))))))), 1'(2(0(3(0(0(3(2(1(0(0(0(z0)))))))))))), 2'(0(3(0(0(3(2(1(0(0(0(z0))))))))))), 0'(3(0(0(3(2(1(0(0(0(z0)))))))))), 3'(0(0(3(2(1(0(0(0(z0))))))))), 0'(0(3(2(1(0(0(0(z0)))))))), 0'(3(2(1(0(0(0(z0))))))), 3'(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))
   0'(c_1(c_2(c_3(c_3(c_3(c_1(c_3(c_3(c_3(c_2(c_3(c_1(c_2(c_0(c_1(c_3(c_1(z0)))))))))))))))))) -> c15(2'(3(0(3(3(3(1(1(3(0(3(1(3(2(3(1(2(1(z0)))))))))))))))))), 3'(0(3(3(3(1(1(3(0(3(1(3(2(3(1(2(1(z0))))))))))))))))), 0'(3(3(3(1(1(3(0(3(1(3(2(3(1(2(1(z0)))))))))))))))), 3'(3(3(1(1(3(0(3(1(3(2(3(1(2(1(z0))))))))))))))), 3'(3(1(1(3(0(3(1(3(2(3(1(2(1(z0)))))))))))))), 3'(1(1(3(0(3(1(3(2(3(1(2(1(z0))))))))))))), 1'(1(3(0(3(1(3(2(3(1(2(1(z0)))))))))))), 1'(3(0(3(1(3(2(3(1(2(1(z0))))))))))), 3'(0(3(1(3(2(3(1(2(1(z0)))))))))), 0'(3(1(3(2(3(1(2(1(z0))))))))), 3'(1(3(2(3(1(2(1(z0)))))))), 1'(3(2(3(1(2(1(z0))))))), 3'(2(3(1(2(1(z0)))))), 2'(3(1(2(1(z0))))), 3'(1(2(1(z0)))), 1'(2(1(z0))), 2'(1(z0)), 1'(z0))
   0'(c_1(c_1(c_1(c_3(c_0(c_1(c_3(c_1(c_2(c_0(c_2(c_1(c_2(c_2(c_0(c_3(c_0(z0)))))))))))))))))) -> c16(3'(0(3(2(2(1(1(1(2(0(1(1(2(1(3(0(0(0(z0)))))))))))))))))), 0'(3(2(2(1(1(1(2(0(1(1(2(1(3(0(0(0(z0))))))))))))))))), 3'(2(2(1(1(1(2(0(1(1(2(1(3(0(0(0(z0)))))))))))))))), 2'(2(1(1(1(2(0(1(1(2(1(3(0(0(0(z0))))))))))))))), 2'(1(1(1(2(0(1(1(2(1(3(0(0(0(z0)))))))))))))), 1'(1(1(2(0(1(1(2(1(3(0(0(0(z0))))))))))))), 1'(1(2(0(1(1(2(1(3(0(0(0(z0)))))))))))), 1'(2(0(1(1(2(1(3(0(0(0(z0))))))))))), 2'(0(1(1(2(1(3(0(0(0(z0)))))))))), 0'(1(1(2(1(3(0(0(0(z0))))))))), 1'(1(2(1(3(0(0(0(z0)))))))), 1'(2(1(3(0(0(0(z0))))))), 2'(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_1(c_3(c_2(c_3(c_1(c_1(c_3(c_2(c_2(c_0(c_0(c_1(c_3(c_2(c_3(c_3(c_3(z0)))))))))))))))))) -> c17(2'(3(0(3(3(3(1(0(0(1(2(1(3(2(3(2(1(3(z0)))))))))))))))))), 3'(0(3(3(3(1(0(0(1(2(1(3(2(3(2(1(3(z0))))))))))))))))), 0'(3(3(3(1(0(0(1(2(1(3(2(3(2(1(3(z0)))))))))))))))), 3'(3(3(1(0(0(1(2(1(3(2(3(2(1(3(z0))))))))))))))), 3'(3(1(0(0(1(2(1(3(2(3(2(1(3(z0)))))))))))))), 3'(1(0(0(1(2(1(3(2(3(2(1(3(z0))))))))))))), 1'(0(0(1(2(1(3(2(3(2(1(3(z0)))))))))))), 0'(0(1(2(1(3(2(3(2(1(3(z0))))))))))), 0'(1(2(1(3(2(3(2(1(3(z0)))))))))), 1'(2(1(3(2(3(2(1(3(z0))))))))), 2'(1(3(2(3(2(1(3(z0)))))))), 1'(3(2(3(2(1(3(z0))))))), 3'(2(3(2(1(3(z0)))))), 2'(3(2(1(3(z0))))), 3'(2(1(3(z0)))), 2'(1(3(z0))), 1'(3(z0)), 3'(z0))
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   3'(c_2(c_2(c_1(c_2(c_2(c_3(c_1(c_1(c_2(c_0(c_1(c_3(c_1(c_2(c_2(c_1(c_1(z0)))))))))))))))))) -> c86(3'(1(1(1(2(2(1(3(2(3(2(2(1(1(2(0(2(1(z0)))))))))))))))))), 1'(1(1(2(2(1(3(2(3(2(2(1(1(2(0(2(1(z0))))))))))))))))), 1'(1(2(2(1(3(2(3(2(2(1(1(2(0(2(1(z0)))))))))))))))), 1'(2(2(1(3(2(3(2(2(1(1(2(0(2(1(z0))))))))))))))), 2'(2(1(3(2(3(2(2(1(1(2(0(2(1(z0)))))))))))))), 2'(1(3(2(3(2(2(1(1(2(0(2(1(z0))))))))))))), 1'(3(2(3(2(2(1(1(2(0(2(1(z0)))))))))))), 3'(2(3(2(2(1(1(2(0(2(1(z0))))))))))), 2'(3(2(2(1(1(2(0(2(1(z0)))))))))), 3'(2(2(1(1(2(0(2(1(z0))))))))), 2'(2(1(1(2(0(2(1(z0)))))))), 2'(1(1(2(0(2(1(z0))))))), 1'(1(2(0(2(1(z0)))))), 1'(2(0(2(1(z0))))), 2'(0(2(1(z0)))), 0'(2(1(z0))), 2'(1(z0)), 1'(z0))
   3'(c_2(c_2(c_2(c_3(c_2(c_3(c_0(c_1(c_3(c_2(c_1(c_3(c_2(c_3(c_0(c_2(c_1(z0)))))))))))))))))) -> c87(0'(0(3(3(2(1(2(1(3(3(3(3(2(2(2(2(2(1(z0)))))))))))))))))), 0'(3(3(2(1(2(1(3(3(3(3(2(2(2(2(2(1(z0))))))))))))))))), 3'(3(2(1(2(1(3(3(3(3(2(2(2(2(2(1(z0)))))))))))))))), 3'(2(1(2(1(3(3(3(3(2(2(2(2(2(1(z0))))))))))))))), 2'(1(2(1(3(3(3(3(2(2(2(2(2(1(z0)))))))))))))), 1'(2(1(3(3(3(3(2(2(2(2(2(1(z0))))))))))))), 2'(1(3(3(3(3(2(2(2(2(2(1(z0)))))))))))), 1'(3(3(3(3(2(2(2(2(2(1(z0))))))))))), 3'(3(3(3(2(2(2(2(2(1(z0)))))))))), 3'(3(3(2(2(2(2(2(1(z0))))))))), 3'(3(2(2(2(2(2(1(z0)))))))), 3'(2(2(2(2(2(1(z0))))))), 2'(2(2(2(2(1(z0)))))), 2'(2(2(2(1(z0))))), 2'(2(2(1(z0)))), 2'(2(1(z0))), 2'(1(z0)), 1'(z0))
   3'(c_1(c_3(c_2(c_1(c_1(c_3(c_1(c_2(c_2(c_1(c_3(c_2(c_3(c_1(c_0(c_3(c_1(z0)))))))))))))))))) -> c88(3'(1(3(3(1(2(0(1(1(2(2(1(3(3(2(3(1(1(z0)))))))))))))))))), 1'(3(3(1(2(0(1(1(2(2(1(3(3(2(3(1(1(z0))))))))))))))))), 3'(3(1(2(0(1(1(2(2(1(3(3(2(3(1(1(z0)))))))))))))))), 3'(1(2(0(1(1(2(2(1(3(3(2(3(1(1(z0))))))))))))))), 1'(2(0(1(1(2(2(1(3(3(2(3(1(1(z0)))))))))))))), 2'(0(1(1(2(2(1(3(3(2(3(1(1(z0))))))))))))), 0'(1(1(2(2(1(3(3(2(3(1(1(z0)))))))))))), 1'(1(2(2(1(3(3(2(3(1(1(z0))))))))))), 1'(2(2(1(3(3(2(3(1(1(z0)))))))))), 2'(2(1(3(3(2(3(1(1(z0))))))))), 2'(1(3(3(2(3(1(1(z0)))))))), 1'(3(3(2(3(1(1(z0))))))), 3'(3(2(3(1(1(z0)))))), 3'(2(3(1(1(z0))))), 2'(3(1(1(z0)))), 3'(1(1(z0))), 1'(1(z0)), 1'(z0))
   3'(c_2(c_1(c_3(c_1(c_2(c_2(c_2(c_3(c_3(c_0(c_2(c_1(c_3(c_0(c_2(c_0(c_2(z0)))))))))))))))))) -> c89(3'(3(3(2(3(2(2(0(2(2(1(0(3(2(1(2(1(0(z0)))))))))))))))))), 3'(3(2(3(2(2(0(2(2(1(0(3(2(1(2(1(0(z0))))))))))))))))), 3'(2(3(2(2(0(2(2(1(0(3(2(1(2(1(0(z0)))))))))))))))), 2'(3(2(2(0(2(2(1(0(3(2(1(2(1(0(z0))))))))))))))), 3'(2(2(0(2(2(1(0(3(2(1(2(1(0(z0)))))))))))))), 2'(2(0(2(2(1(0(3(2(1(2(1(0(z0))))))))))))), 2'(0(2(2(1(0(3(2(1(2(1(0(z0)))))))))))), 0'(2(2(1(0(3(2(1(2(1(0(z0))))))))))), 2'(2(1(0(3(2(1(2(1(0(z0)))))))))), 2'(1(0(3(2(1(2(1(0(z0))))))))), 1'(0(3(2(1(2(1(0(z0)))))))), 0'(3(2(1(2(1(0(z0))))))), 3'(2(1(2(1(0(z0)))))), 2'(1(2(1(0(z0))))), 1'(2(1(0(z0)))), 2'(1(0(z0))), 1'(0(z0)), 0'(z0))
   3'(c_1(c_0(c_0(c_3(c_0(c_0(c_0(c_0(c_1(c_2(c_0(c_2(c_0(c_2(c_0(c_0(c_1(z0)))))))))))))))))) -> c90(3'(0(0(0(0(0(2(0(0(0(0(3(0(2(1(1(2(1(z0)))))))))))))))))), 0'(0(0(0(0(2(0(0(0(0(3(0(2(1(1(2(1(z0))))))))))))))))), 0'(0(0(0(2(0(0(0(0(3(0(2(1(1(2(1(z0)))))))))))))))), 0'(0(0(2(0(0(0(0(3(0(2(1(1(2(1(z0))))))))))))))), 0'(0(2(0(0(0(0(3(0(2(1(1(2(1(z0)))))))))))))), 0'(2(0(0(0(0(3(0(2(1(1(2(1(z0))))))))))))), 2'(0(0(0(0(3(0(2(1(1(2(1(z0)))))))))))), 0'(0(0(0(3(0(2(1(1(2(1(z0))))))))))), 0'(0(0(3(0(2(1(1(2(1(z0)))))))))), 0'(0(3(0(2(1(1(2(1(z0))))))))), 0'(3(0(2(1(1(2(1(z0)))))))), 3'(0(2(1(1(2(1(z0))))))), 0'(2(1(1(2(1(z0)))))), 2'(1(1(2(1(z0))))), 1'(1(2(1(z0)))), 1'(2(1(z0))), 2'(1(z0)), 1'(z0))
   3'(c_3(c_0(c_3(c_1(c_0(c_0(c_2(c_2(c_2(c_0(c_0(c_0(c_2(c_2(c_1(c_3(c_2(z0)))))))))))))))))) -> c91(0'(3(2(0(3(3(1(2(1(2(2(0(3(0(0(0(2(2(z0)))))))))))))))))), 3'(2(0(3(3(1(2(1(2(2(0(3(0(0(0(2(2(z0))))))))))))))))), 2'(0(3(3(1(2(1(2(2(0(3(0(0(0(2(2(z0)))))))))))))))), 0'(3(3(1(2(1(2(2(0(3(0(0(0(2(2(z0))))))))))))))), 3'(3(1(2(1(2(2(0(3(0(0(0(2(2(z0)))))))))))))), 3'(1(2(1(2(2(0(3(0(0(0(2(2(z0))))))))))))), 1'(2(1(2(2(0(3(0(0(0(2(2(z0)))))))))))), 2'(1(2(2(0(3(0(0(0(2(2(z0))))))))))), 1'(2(2(0(3(0(0(0(2(2(z0)))))))))), 2'(2(0(3(0(0(0(2(2(z0))))))))), 2'(0(3(0(0(0(2(2(z0)))))))), 0'(3(0(0(0(2(2(z0))))))), 3'(0(0(0(2(2(z0)))))), 0'(0(0(2(2(z0))))), 0'(0(2(2(z0)))), 0'(2(2(z0))), 2'(2(z0)), 2'(z0))
   ENCODE_0(z0) -> c8(0'(encArg(z0)))
   ENCODE_1(z0) -> c8(1'(encArg(z0)))
   ENCODE_3(z0) -> c8(3'(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:
   0'(c_0(c_2(c_0(c_3(c_3(c_2(c_3(c_1(c_3(c_1(c_0(c_2(c_1(c_3(c_0(c_2(c_0(z0)))))))))))))))))) -> c9(0'(0(1(1(3(0(3(3(1(2(0(2(3(0(2(2(0(3(z0)))))))))))))))))), 0'(1(1(3(0(3(3(1(2(0(2(3(0(2(2(0(3(z0))))))))))))))))), 1'(1(3(0(3(3(1(2(0(2(3(0(2(2(0(3(z0)))))))))))))))), 1'(3(0(3(3(1(2(0(2(3(0(2(2(0(3(z0))))))))))))))), 3'(0(3(3(1(2(0(2(3(0(2(2(0(3(z0)))))))))))))), 0'(3(3(1(2(0(2(3(0(2(2(0(3(z0))))))))))))), 3'(3(1(2(0(2(3(0(2(2(0(3(z0)))))))))))), 3'(1(2(0(2(3(0(2(2(0(3(z0))))))))))), 1'(2(0(2(3(0(2(2(0(3(z0)))))))))), 2'(0(2(3(0(2(2(0(3(z0))))))))), 0'(2(3(0(2(2(0(3(z0)))))))), 2'(3(0(2(2(0(3(z0))))))), 3'(0(2(2(0(3(z0)))))), 0'(2(2(0(3(z0))))), 2'(2(0(3(z0)))), 2'(0(3(z0))), 0'(3(z0)), 3'(z0))
   0'(c_0(c_2(c_0(c_3(c_0(c_2(c_2(c_3(c_0(c_2(c_0(c_0(c_2(c_3(c_0(c_0(c_2(z0)))))))))))))))))) -> c10(0'(0(3(2(2(0(2(0(0(0(2(2(0(3(0(0(3(2(z0)))))))))))))))))), 0'(3(2(2(0(2(0(0(0(2(2(0(3(0(0(3(2(z0))))))))))))))))), 3'(2(2(0(2(0(0(0(2(2(0(3(0(0(3(2(z0)))))))))))))))), 2'(2(0(2(0(0(0(2(2(0(3(0(0(3(2(z0))))))))))))))), 2'(0(2(0(0(0(2(2(0(3(0(0(3(2(z0)))))))))))))), 0'(2(0(0(0(2(2(0(3(0(0(3(2(z0))))))))))))), 2'(0(0(0(2(2(0(3(0(0(3(2(z0)))))))))))), 0'(0(0(2(2(0(3(0(0(3(2(z0))))))))))), 0'(0(2(2(0(3(0(0(3(2(z0)))))))))), 0'(2(2(0(3(0(0(3(2(z0))))))))), 2'(2(0(3(0(0(3(2(z0)))))))), 2'(0(3(0(0(3(2(z0))))))), 0'(3(0(0(3(2(z0)))))), 3'(0(0(3(2(z0))))), 0'(0(3(2(z0)))), 0'(3(2(z0))), 3'(2(z0)), 2'(z0))
   0'(c_0(c_0(c_1(c_3(c_3(c_2(c_2(c_3(c_0(c_0(c_1(c_3(c_2(c_2(c_3(c_3(c_2(z0)))))))))))))))))) -> c11(3'(0(2(3(0(3(0(3(0(0(1(2(3(3(1(2(2(2(z0)))))))))))))))))), 0'(2(3(0(3(0(3(0(0(1(2(3(3(1(2(2(2(z0))))))))))))))))), 2'(3(0(3(0(3(0(0(1(2(3(3(1(2(2(2(z0)))))))))))))))), 3'(0(3(0(3(0(0(1(2(3(3(1(2(2(2(z0))))))))))))))), 0'(3(0(3(0(0(1(2(3(3(1(2(2(2(z0)))))))))))))), 3'(0(3(0(0(1(2(3(3(1(2(2(2(z0))))))))))))), 0'(3(0(0(1(2(3(3(1(2(2(2(z0)))))))))))), 3'(0(0(1(2(3(3(1(2(2(2(z0))))))))))), 0'(0(1(2(3(3(1(2(2(2(z0)))))))))), 0'(1(2(3(3(1(2(2(2(z0))))))))), 1'(2(3(3(1(2(2(2(z0)))))))), 2'(3(3(1(2(2(2(z0))))))), 3'(3(1(2(2(2(z0)))))), 3'(1(2(2(2(z0))))), 1'(2(2(2(z0)))), 2'(2(2(z0))), 2'(2(z0)), 2'(z0))
   0'(c_0(c_0(c_2(c_2(c_3(c_0(c_0(c_1(c_0(c_0(c_0(c_1(c_0(c_3(c_1(c_2(c_2(z0)))))))))))))))))) -> c12(0'(0(0(3(2(0(1(3(0(2(1(0(0(1(2(0(0(2(z0)))))))))))))))))), 0'(0(3(2(0(1(3(0(2(1(0(0(1(2(0(0(2(z0))))))))))))))))), 0'(3(2(0(1(3(0(2(1(0(0(1(2(0(0(2(z0)))))))))))))))), 3'(2(0(1(3(0(2(1(0(0(1(2(0(0(2(z0))))))))))))))), 2'(0(1(3(0(2(1(0(0(1(2(0(0(2(z0)))))))))))))), 0'(1(3(0(2(1(0(0(1(2(0(0(2(z0))))))))))))), 1'(3(0(2(1(0(0(1(2(0(0(2(z0)))))))))))), 3'(0(2(1(0(0(1(2(0(0(2(z0))))))))))), 0'(2(1(0(0(1(2(0(0(2(z0)))))))))), 2'(1(0(0(1(2(0(0(2(z0))))))))), 1'(0(0(1(2(0(0(2(z0)))))))), 0'(0(1(2(0(0(2(z0))))))), 0'(1(2(0(0(2(z0)))))), 1'(2(0(0(2(z0))))), 2'(0(0(2(z0)))), 0'(0(2(z0))), 0'(2(z0)), 2'(z0))
   0'(c_1(c_0(c_2(c_2(c_1(c_2(c_1(c_3(c_1(c_1(c_2(c_0(c_1(c_2(c_0(c_1(c_0(z0)))))))))))))))))) -> c13(2'(0(0(3(1(2(2(1(2(0(1(0(1(2(1(1(1(0(z0)))))))))))))))))), 0'(0(3(1(2(2(1(2(0(1(0(1(2(1(1(1(0(z0))))))))))))))))), 0'(3(1(2(2(1(2(0(1(0(1(2(1(1(1(0(z0)))))))))))))))), 3'(1(2(2(1(2(0(1(0(1(2(1(1(1(0(z0))))))))))))))), 1'(2(2(1(2(0(1(0(1(2(1(1(1(0(z0)))))))))))))), 2'(2(1(2(0(1(0(1(2(1(1(1(0(z0))))))))))))), 2'(1(2(0(1(0(1(2(1(1(1(0(z0)))))))))))), 1'(2(0(1(0(1(2(1(1(1(0(z0))))))))))), 2'(0(1(0(1(2(1(1(1(0(z0)))))))))), 0'(1(0(1(2(1(1(1(0(z0))))))))), 1'(0(1(2(1(1(1(0(z0)))))))), 0'(1(2(1(1(1(0(z0))))))), 1'(2(1(1(1(0(z0)))))), 2'(1(1(1(0(z0))))), 1'(1(1(0(z0)))), 1'(1(0(z0))), 1'(0(z0)), 0'(z0))
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   3'(c_0(c_2(c_2(c_3(c_2(c_2(c_3(c_2(c_2(c_3(c_3(c_2(c_0(c_1(c_3(c_2(c_3(z0)))))))))))))))))) -> c82(0'(3(3(2(1(3(3(2(2(3(2(2(2(0(3(2(2(3(z0)))))))))))))))))), 3'(3(2(1(3(3(2(2(3(2(2(2(0(3(2(2(3(z0))))))))))))))))), 3'(2(1(3(3(2(2(3(2(2(2(0(3(2(2(3(z0)))))))))))))))), 2'(1(3(3(2(2(3(2(2(2(0(3(2(2(3(z0))))))))))))))), 1'(3(3(2(2(3(2(2(2(0(3(2(2(3(z0)))))))))))))), 3'(3(2(2(3(2(2(2(0(3(2(2(3(z0))))))))))))), 3'(2(2(3(2(2(2(0(3(2(2(3(z0)))))))))))), 2'(2(3(2(2(2(0(3(2(2(3(z0))))))))))), 2'(3(2(2(2(0(3(2(2(3(z0)))))))))), 3'(2(2(2(0(3(2(2(3(z0))))))))), 2'(2(2(0(3(2(2(3(z0)))))))), 2'(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))
   3'(c_0(c_1(c_2(c_1(c_0(c_2(c_1(c_1(c_3(c_0(c_1(c_2(c_3(c_1(c_1(c_1(c_1(z0)))))))))))))))))) -> c83(3'(3(1(1(1(0(1(2(1(1(1(2(2(3(0(1(0(1(z0)))))))))))))))))), 3'(1(1(1(0(1(2(1(1(1(2(2(3(0(1(0(1(z0))))))))))))))))), 1'(1(1(0(1(2(1(1(1(2(2(3(0(1(0(1(z0)))))))))))))))), 1'(1(0(1(2(1(1(1(2(2(3(0(1(0(1(z0))))))))))))))), 1'(0(1(2(1(1(1(2(2(3(0(1(0(1(z0)))))))))))))), 0'(1(2(1(1(1(2(2(3(0(1(0(1(z0))))))))))))), 1'(2(1(1(1(2(2(3(0(1(0(1(z0)))))))))))), 2'(1(1(1(2(2(3(0(1(0(1(z0))))))))))), 1'(1(1(2(2(3(0(1(0(1(z0)))))))))), 1'(1(2(2(3(0(1(0(1(z0))))))))), 1'(2(2(3(0(1(0(1(z0)))))))), 2'(2(3(0(1(0(1(z0))))))), 2'(3(0(1(0(1(z0)))))), 3'(0(1(0(1(z0))))), 0'(1(0(1(z0)))), 1'(0(1(z0))), 0'(1(z0)), 1'(z0))
   3'(c_3(c_2(c_1(c_3(c_0(c_0(c_1(c_3(c_2(c_0(c_0(c_2(c_3(c_3(c_0(c_0(c_2(z0)))))))))))))))))) -> c84(3'(0(0(3(0(3(0(1(2(0(3(1(3(0(3(2(2(2(z0)))))))))))))))))), 0'(0(3(0(3(0(1(2(0(3(1(3(0(3(2(2(2(z0))))))))))))))))), 0'(3(0(3(0(1(2(0(3(1(3(0(3(2(2(2(z0)))))))))))))))), 3'(0(3(0(1(2(0(3(1(3(0(3(2(2(2(z0))))))))))))))), 0'(3(0(1(2(0(3(1(3(0(3(2(2(2(z0)))))))))))))), 3'(0(1(2(0(3(1(3(0(3(2(2(2(z0))))))))))))), 0'(1(2(0(3(1(3(0(3(2(2(2(z0)))))))))))), 1'(2(0(3(1(3(0(3(2(2(2(z0))))))))))), 2'(0(3(1(3(0(3(2(2(2(z0)))))))))), 0'(3(1(3(0(3(2(2(2(z0))))))))), 3'(1(3(0(3(2(2(2(z0)))))))), 1'(3(0(3(2(2(2(z0))))))), 3'(0(3(2(2(2(z0)))))), 0'(3(2(2(2(z0))))), 3'(2(2(2(z0)))), 2'(2(2(z0))), 2'(2(z0)), 2'(z0))
   3'(c_3(c_0(c_2(c_0(c_2(c_0(c_1(c_2(c_0(c_2(c_3(c_0(c_2(c_2(c_0(c_3(c_3(z0)))))))))))))))))) -> c85(3'(2(0(3(2(0(0(0(3(0(3(2(2(2(1(2(0(3(z0)))))))))))))))))), 2'(0(3(2(0(0(0(3(0(3(2(2(2(1(2(0(3(z0))))))))))))))))), 0'(3(2(0(0(0(3(0(3(2(2(2(1(2(0(3(z0)))))))))))))))), 3'(2(0(0(0(3(0(3(2(2(2(1(2(0(3(z0))))))))))))))), 2'(0(0(0(3(0(3(2(2(2(1(2(0(3(z0)))))))))))))), 0'(0(0(3(0(3(2(2(2(1(2(0(3(z0))))))))))))), 0'(0(3(0(3(2(2(2(1(2(0(3(z0)))))))))))), 0'(3(0(3(2(2(2(1(2(0(3(z0))))))))))), 3'(0(3(2(2(2(1(2(0(3(z0)))))))))), 0'(3(2(2(2(1(2(0(3(z0))))))))), 3'(2(2(2(1(2(0(3(z0)))))))), 2'(2(2(1(2(0(3(z0))))))), 2'(2(1(2(0(3(z0)))))), 2'(1(2(0(3(z0))))), 1'(2(0(3(z0)))), 2'(0(3(z0))), 0'(3(z0)), 3'(z0))
   3'(c_2(c_2(c_1(c_2(c_2(c_3(c_1(c_1(c_2(c_0(c_1(c_3(c_1(c_2(c_2(c_1(c_1(z0)))))))))))))))))) -> c86(3'(1(1(1(2(2(1(3(2(3(2(2(1(1(2(0(2(1(z0)))))))))))))))))), 1'(1(1(2(2(1(3(2(3(2(2(1(1(2(0(2(1(z0))))))))))))))))), 1'(1(2(2(1(3(2(3(2(2(1(1(2(0(2(1(z0)))))))))))))))), 1'(2(2(1(3(2(3(2(2(1(1(2(0(2(1(z0))))))))))))))), 2'(2(1(3(2(3(2(2(1(1(2(0(2(1(z0)))))))))))))), 2'(1(3(2(3(2(2(1(1(2(0(2(1(z0))))))))))))), 1'(3(2(3(2(2(1(1(2(0(2(1(z0)))))))))))), 3'(2(3(2(2(1(1(2(0(2(1(z0))))))))))), 2'(3(2(2(1(1(2(0(2(1(z0)))))))))), 3'(2(2(1(1(2(0(2(1(z0))))))))), 2'(2(1(1(2(0(2(1(z0)))))))), 2'(1(1(2(0(2(1(z0))))))), 1'(1(2(0(2(1(z0)))))), 1'(2(0(2(1(z0))))), 2'(0(2(1(z0)))), 0'(2(1(z0))), 2'(1(z0)), 1'(z0))
   3'(c_2(c_2(c_2(c_3(c_2(c_3(c_0(c_1(c_3(c_2(c_1(c_3(c_2(c_3(c_0(c_2(c_1(z0)))))))))))))))))) -> c87(0'(0(3(3(2(1(2(1(3(3(3(3(2(2(2(2(2(1(z0)))))))))))))))))), 0'(3(3(2(1(2(1(3(3(3(3(2(2(2(2(2(1(z0))))))))))))))))), 3'(3(2(1(2(1(3(3(3(3(2(2(2(2(2(1(z0)))))))))))))))), 3'(2(1(2(1(3(3(3(3(2(2(2(2(2(1(z0))))))))))))))), 2'(1(2(1(3(3(3(3(2(2(2(2(2(1(z0)))))))))))))), 1'(2(1(3(3(3(3(2(2(2(2(2(1(z0))))))))))))), 2'(1(3(3(3(3(2(2(2(2(2(1(z0)))))))))))), 1'(3(3(3(3(2(2(2(2(2(1(z0))))))))))), 3'(3(3(3(2(2(2(2(2(1(z0)))))))))), 3'(3(3(2(2(2(2(2(1(z0))))))))), 3'(3(2(2(2(2(2(1(z0)))))))), 3'(2(2(2(2(2(1(z0))))))), 2'(2(2(2(2(1(z0)))))), 2'(2(2(2(1(z0))))), 2'(2(2(1(z0)))), 2'(2(1(z0))), 2'(1(z0)), 1'(z0))
   3'(c_1(c_3(c_2(c_1(c_1(c_3(c_1(c_2(c_2(c_1(c_3(c_2(c_3(c_1(c_0(c_3(c_1(z0)))))))))))))))))) -> c88(3'(1(3(3(1(2(0(1(1(2(2(1(3(3(2(3(1(1(z0)))))))))))))))))), 1'(3(3(1(2(0(1(1(2(2(1(3(3(2(3(1(1(z0))))))))))))))))), 3'(3(1(2(0(1(1(2(2(1(3(3(2(3(1(1(z0)))))))))))))))), 3'(1(2(0(1(1(2(2(1(3(3(2(3(1(1(z0))))))))))))))), 1'(2(0(1(1(2(2(1(3(3(2(3(1(1(z0)))))))))))))), 2'(0(1(1(2(2(1(3(3(2(3(1(1(z0))))))))))))), 0'(1(1(2(2(1(3(3(2(3(1(1(z0)))))))))))), 1'(1(2(2(1(3(3(2(3(1(1(z0))))))))))), 1'(2(2(1(3(3(2(3(1(1(z0)))))))))), 2'(2(1(3(3(2(3(1(1(z0))))))))), 2'(1(3(3(2(3(1(1(z0)))))))), 1'(3(3(2(3(1(1(z0))))))), 3'(3(2(3(1(1(z0)))))), 3'(2(3(1(1(z0))))), 2'(3(1(1(z0)))), 3'(1(1(z0))), 1'(1(z0)), 1'(z0))
   3'(c_2(c_1(c_3(c_1(c_2(c_2(c_2(c_3(c_3(c_0(c_2(c_1(c_3(c_0(c_2(c_0(c_2(z0)))))))))))))))))) -> c89(3'(3(3(2(3(2(2(0(2(2(1(0(3(2(1(2(1(0(z0)))))))))))))))))), 3'(3(2(3(2(2(0(2(2(1(0(3(2(1(2(1(0(z0))))))))))))))))), 3'(2(3(2(2(0(2(2(1(0(3(2(1(2(1(0(z0)))))))))))))))), 2'(3(2(2(0(2(2(1(0(3(2(1(2(1(0(z0))))))))))))))), 3'(2(2(0(2(2(1(0(3(2(1(2(1(0(z0)))))))))))))), 2'(2(0(2(2(1(0(3(2(1(2(1(0(z0))))))))))))), 2'(0(2(2(1(0(3(2(1(2(1(0(z0)))))))))))), 0'(2(2(1(0(3(2(1(2(1(0(z0))))))))))), 2'(2(1(0(3(2(1(2(1(0(z0)))))))))), 2'(1(0(3(2(1(2(1(0(z0))))))))), 1'(0(3(2(1(2(1(0(z0)))))))), 0'(3(2(1(2(1(0(z0))))))), 3'(2(1(2(1(0(z0)))))), 2'(1(2(1(0(z0))))), 1'(2(1(0(z0)))), 2'(1(0(z0))), 1'(0(z0)), 0'(z0))
   3'(c_1(c_0(c_0(c_3(c_0(c_0(c_0(c_0(c_1(c_2(c_0(c_2(c_0(c_2(c_0(c_0(c_1(z0)))))))))))))))))) -> c90(3'(0(0(0(0(0(2(0(0(0(0(3(0(2(1(1(2(1(z0)))))))))))))))))), 0'(0(0(0(0(2(0(0(0(0(3(0(2(1(1(2(1(z0))))))))))))))))), 0'(0(0(0(2(0(0(0(0(3(0(2(1(1(2(1(z0)))))))))))))))), 0'(0(0(2(0(0(0(0(3(0(2(1(1(2(1(z0))))))))))))))), 0'(0(2(0(0(0(0(3(0(2(1(1(2(1(z0)))))))))))))), 0'(2(0(0(0(0(3(0(2(1(1(2(1(z0))))))))))))), 2'(0(0(0(0(3(0(2(1(1(2(1(z0)))))))))))), 0'(0(0(0(3(0(2(1(1(2(1(z0))))))))))), 0'(0(0(3(0(2(1(1(2(1(z0)))))))))), 0'(0(3(0(2(1(1(2(1(z0))))))))), 0'(3(0(2(1(1(2(1(z0)))))))), 3'(0(2(1(1(2(1(z0))))))), 0'(2(1(1(2(1(z0)))))), 2'(1(1(2(1(z0))))), 1'(1(2(1(z0)))), 1'(2(1(z0))), 2'(1(z0)), 1'(z0))
   3'(c_3(c_0(c_3(c_1(c_0(c_0(c_2(c_2(c_2(c_0(c_0(c_0(c_2(c_2(c_1(c_3(c_2(z0)))))))))))))))))) -> c91(0'(3(2(0(3(3(1(2(1(2(2(0(3(0(0(0(2(2(z0)))))))))))))))))), 3'(2(0(3(3(1(2(1(2(2(0(3(0(0(0(2(2(z0))))))))))))))))), 2'(0(3(3(1(2(1(2(2(0(3(0(0(0(2(2(z0)))))))))))))))), 0'(3(3(1(2(1(2(2(0(3(0(0(0(2(2(z0))))))))))))))), 3'(3(1(2(1(2(2(0(3(0(0(0(2(2(z0)))))))))))))), 3'(1(2(1(2(2(0(3(0(0(0(2(2(z0))))))))))))), 1'(2(1(2(2(0(3(0(0(0(2(2(z0)))))))))))), 2'(1(2(2(0(3(0(0(0(2(2(z0))))))))))), 1'(2(2(0(3(0(0(0(2(2(z0)))))))))), 2'(2(0(3(0(0(0(2(2(z0))))))))), 2'(0(3(0(0(0(2(2(z0)))))))), 0'(3(0(0(0(2(2(z0))))))), 3'(0(0(0(2(2(z0)))))), 0'(0(0(2(2(z0))))), 0'(0(2(2(z0)))), 0'(2(2(z0))), 2'(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_1_1, ENCODE_3_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, c30_18, c31_18, c32_18, c33_18, c34_18, c35_18, c36_18, c37_18, c38_18, c39_18, c40_18, c41_18, c42_18, c44_18, c45_18, c46_18, c47_18, c48_18, c49_18, c50_18, c51_18, c52_18, c53_18, c54_18, c55_18, c56_18, c57_18, c58_18, c59_18, c60_18, c61_18, c62_18, c63_18, c64_18, c65_18, c67_18, c68_18, c69_18, c70_18, c71_18, c72_18, c73_18, c74_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_2(c_0(c_3(c_3(c_2(c_3(c_1(c_3(c_1(c_0(c_2(c_1(c_3(c_0(c_2(c_0(z0)))))))))))))))))) -> 0(0(1(1(3(0(3(3(1(2(0(2(3(0(2(2(0(3(z0))))))))))))))))))
   0(c_0(c_2(c_0(c_3(c_0(c_2(c_2(c_3(c_0(c_2(c_0(c_0(c_2(c_3(c_0(c_0(c_2(z0)))))))))))))))))) -> 0(0(3(2(2(0(2(0(0(0(2(2(0(3(0(0(3(2(z0))))))))))))))))))
   0(c_0(c_0(c_1(c_3(c_3(c_2(c_2(c_3(c_0(c_0(c_1(c_3(c_2(c_2(c_3(c_3(c_2(z0)))))))))))))))))) -> 3(0(2(3(0(3(0(3(0(0(1(2(3(3(1(2(2(2(z0))))))))))))))))))
   0(c_0(c_0(c_2(c_2(c_3(c_0(c_0(c_1(c_0(c_0(c_0(c_1(c_0(c_3(c_1(c_2(c_2(z0)))))))))))))))))) -> 0(0(0(3(2(0(1(3(0(2(1(0(0(1(2(0(0(2(z0))))))))))))))))))
   0(c_1(c_0(c_2(c_2(c_1(c_2(c_1(c_3(c_1(c_1(c_2(c_0(c_1(c_2(c_0(c_1(c_0(z0)))))))))))))))))) -> 2(0(0(3(1(2(2(1(2(0(1(0(1(2(1(1(1(0(z0))))))))))))))))))
   0(c_2(c_1(c_0(c_2(c_0(c_3(c_0(c_1(c_0(c_2(c_0(c_2(c_0(c_1(c_2(c_0(c_3(z0)))))))))))))))))) -> 0(2(1(2(0(2(1(2(0(3(0(0(3(2(1(0(0(0(z0))))))))))))))))))
   0(c_1(c_2(c_3(c_3(c_3(c_1(c_3(c_3(c_3(c_2(c_3(c_1(c_2(c_0(c_1(c_3(c_1(z0)))))))))))))))))) -> 2(3(0(3(3(3(1(1(3(0(3(1(3(2(3(1(2(1(z0))))))))))))))))))
   0(c_1(c_1(c_1(c_3(c_0(c_1(c_3(c_1(c_2(c_0(c_2(c_1(c_2(c_2(c_0(c_3(c_0(z0)))))))))))))))))) -> 3(0(3(2(2(1(1(1(2(0(1(1(2(1(3(0(0(0(z0))))))))))))))))))
   0(c_1(c_3(c_2(c_3(c_1(c_1(c_3(c_2(c_2(c_0(c_0(c_1(c_3(c_2(c_3(c_3(c_3(z0)))))))))))))))))) -> 2(3(0(3(3(3(1(0(0(1(2(1(3(2(3(2(1(3(z0))))))))))))))))))
   0(c_1(c_0(c_0(c_2(c_2(c_2(c_3(c_2(c_1(c_3(c_2(c_3(c_3(c_1(c_0(c_1(c_0(z0)))))))))))))))))) -> 0(1(2(3(0(3(3(0(2(0(1(0(2(1(3(2(1(2(z0))))))))))))))))))
   0(c_3(c_2(c_3(c_1(c_0(c_0(c_1(c_0(c_0(c_1(c_2(c_3(c_2(c_1(c_1(c_0(c_1(z0)))))))))))))))))) -> 3(0(0(3(1(1(0(0(2(1(2(2(0(1(1(0(3(1(z0))))))))))))))))))
   0(c_2(c_0(c_1(c_0(c_0(c_0(c_1(c_0(c_3(c_0(c_2(c_3(c_3(c_3(c_3(c_0(c_3(z0)))))))))))))))))) -> 0(3(0(0(0(3(3(2(0(1(1(0(2(3(0(0(3(3(z0))))))))))))))))))
   0(c_2(c_0(c_1(c_3(c_1(c_0(c_0(c_3(c_2(c_0(c_2(c_2(c_3(c_0(c_1(c_0(c_0(z0)))))))))))))))))) -> 1(0(0(3(2(1(2(2(2(0(0(3(1(0(0(0(3(0(z0))))))))))))))))))
   0(c_1(c_2(c_2(c_3(c_1(c_3(c_3(c_1(c_3(c_2(c_2(c_3(c_3(c_0(c_2(c_0(c_2(z0)))))))))))))))))) -> 0(1(2(3(0(3(3(3(3(2(2(1(2(0(2(3(1(2(z0))))))))))))))))))
   0(c_3(c_1(c_1(c_2(c_2(c_0(c_0(c_0(c_1(c_3(c_2(c_3(c_3(c_3(c_3(c_3(c_3(z0)))))))))))))))))) -> 3(0(3(2(3(3(0(0(3(2(1(1(0(3(1(2(3(3(z0))))))))))))))))))
   0(c_3(c_1(c_2(c_1(c_0(c_2(c_1(c_3(c_0(c_3(c_2(c_3(c_2(c_3(c_0(c_1(c_2(z0)))))))))))))))))) -> 3(0(2(3(0(3(1(2(1(2(3(0(3(1(0(2(1(2(z0))))))))))))))))))
   0(c_1(c_2(c_3(c_0(c_2(c_1(c_1(c_3(c_3(c_3(c_2(c_3(c_1(c_3(c_1(c_3(c_1(z0)))))))))))))))))) -> 2(1(3(2(3(1(1(3(3(0(3(3(0(3(2(1(1(1(z0))))))))))))))))))
   0(c_0(c_2(c_0(c_1(c_1(c_3(c_0(c_2(c_3(c_2(c_2(c_0(c_2(c_3(c_3(c_1(c_2(z0)))))))))))))))))) -> 0(0(3(2(1(0(0(3(1(3(0(3(2(2(1(2(2(2(z0))))))))))))))))))
   0(c_3(c_3(c_2(c_3(c_1(c_3(c_2(c_0(c_0(c_2(c_1(c_3(c_1(c_3(c_2(c_3(c_3(z0)))))))))))))))))) -> 3(2(2(3(2(0(1(2(1(3(1(3(0(3(0(3(3(3(z0))))))))))))))))))
   0(c_0(c_1(c_3(c_1(c_0(c_0(c_1(c_3(c_3(c_0(c_0(c_1(c_2(c_2(c_1(c_1(c_1(z0)))))))))))))))))) -> 3(3(0(2(0(0(0(0(1(0(2(1(3(1(1(1(1(1(z0))))))))))))))))))
   1(z0) -> c_1(z0)
   1(c_2(c_3(c_0(c_1(c_0(c_3(c_1(c_2(c_3(c_1(c_1(c_1(c_1(c_3(c_2(c_3(c_0(z0)))))))))))))))))) -> 1(1(2(1(1(3(0(3(3(2(1(2(0(3(1(1(3(0(z0))))))))))))))))))
   1(c_3(c_1(c_3(c_1(c_1(c_1(c_2(c_1(c_3(c_0(c_1(c_2(c_1(c_3(c_1(c_1(c_0(z0)))))))))))))))))) -> 1(0(1(1(1(3(3(2(3(0(1(2(1(1(1(1(1(3(z0))))))))))))))))))
   1(c_1(c_0(c_3(c_1(c_2(c_0(c_0(c_1(c_3(c_2(c_1(c_2(c_0(c_3(c_0(c_2(c_2(z0)))))))))))))))))) -> 1(1(2(2(3(2(1(0(0(3(2(3(0(0(0(1(1(2(z0))))))))))))))))))
   1(c_2(c_2(c_0(c_3(c_1(c_3(c_0(c_0(c_1(c_3(c_3(c_0(c_3(c_2(c_3(c_1(c_2(z0)))))))))))))))))) -> 1(0(2(3(3(3(3(0(2(0(3(1(0(3(1(2(1(2(z0))))))))))))))))))
   1(c_1(c_0(c_0(c_0(c_2(c_0(c_1(c_0(c_1(c_1(c_0(c_3(c_2(c_1(c_0(c_0(c_2(z0)))))))))))))))))) -> 1(1(2(1(1(0(0(2(3(0(0(0(0(1(1(0(0(2(z0))))))))))))))))))
   1(c_3(c_1(c_3(c_2(c_0(c_0(c_0(c_1(c_3(c_1(c_0(c_2(c_2(c_2(c_1(c_0(c_2(z0)))))))))))))))))) -> 1(0(1(1(2(2(0(3(3(0(1(0(1(2(2(3(0(2(z0))))))))))))))))))
   1(c_0(c_0(c_0(c_3(c_0(c_2(c_1(c_3(c_3(c_1(c_2(c_2(c_3(c_1(c_3(c_2(c_1(z0)))))))))))))))))) -> 1(2(1(3(3(0(3(0(3(1(0(2(2(3(1(0(2(1(z0))))))))))))))))))
   1(c_3(c_3(c_1(c_3(c_1(c_3(c_0(c_1(c_0(c_2(c_3(c_1(c_1(c_1(c_3(c_0(c_3(z0)))))))))))))))))) -> 1(1(1(2(1(3(0(0(3(3(3(0(1(1(3(3(1(3(z0))))))))))))))))))
   1(c_2(c_2(c_2(c_2(c_0(c_3(c_3(c_2(c_1(c_3(c_0(c_2(c_1(c_3(c_2(c_0(c_3(z0)))))))))))))))))) -> 1(2(2(1(2(1(2(0(2(3(2(2(0(0(3(3(3(3(z0))))))))))))))))))
   1(c_3(c_0(c_2(c_0(c_3(c_2(c_2(c_1(c_3(c_2(c_3(c_2(c_2(c_2(c_1(c_3(c_2(z0)))))))))))))))))) -> 1(3(2(1(2(2(3(3(3(2(1(3(2(0(0(2(2(2(z0))))))))))))))))))
   1(c_3(c_2(c_2(c_0(c_3(c_1(c_1(c_3(c_1(c_3(c_0(c_2(c_1(c_2(c_2(c_0(c_3(z0)))))))))))))))))) -> 1(1(2(1(0(1(2(3(3(0(3(0(3(2(2(1(2(3(z0))))))))))))))))))
   1(c_0(c_2(c_1(c_2(c_3(c_3(c_0(c_1(c_0(c_2(c_3(c_0(c_1(c_1(c_3(c_3(c_1(z0)))))))))))))))))) -> 1(2(1(1(1(3(0(3(0(3(1(0(3(2(2(0(3(1(z0))))))))))))))))))
   1(c_0(c_2(c_0(c_0(c_0(c_1(c_2(c_3(c_0(c_1(c_2(c_2(c_2(c_1(c_2(c_2(c_0(z0)))))))))))))))))) -> 1(2(2(0(0(1(1(0(0(2(2(2(2(1(2(0(0(3(z0))))))))))))))))))
   2(z0) -> c_2(z0)
   2(c_2(c_2(c_3(c_0(c_1(c_3(c_2(c_1(c_3(c_3(c_2(c_1(c_2(c_2(c_1(c_2(c_3(z0)))))))))))))))))) -> 2(2(2(1(1(2(3(2(3(2(2(0(3(1(2(1(3(3(z0))))))))))))))))))
   2(c_2(c_1(c_3(c_1(c_3(c_0(c_0(c_2(c_1(c_2(c_2(c_2(c_1(c_1(c_1(c_0(c_1(z0)))))))))))))))))) -> 0(2(2(3(3(1(1(2(0(2(1(1(2(1(0(1(2(1(z0))))))))))))))))))
   2(c_0(c_0(c_1(c_3(c_1(c_3(c_2(c_1(c_0(c_0(c_2(c_2(c_2(c_0(c_2(c_0(c_3(z0)))))))))))))))))) -> 0(2(2(2(0(2(1(0(0(3(0(0(1(2(2(1(3(3(z0))))))))))))))))))
   2(c_3(c_2(c_3(c_1(c_2(c_0(c_1(c_3(c_0(c_1(c_3(c_2(c_1(c_0(c_2(c_3(c_3(z0)))))))))))))))))) -> 0(3(1(0(2(2(1(2(2(1(3(3(3(1(0(2(3(3(z0))))))))))))))))))
   2(c_1(c_2(c_2(c_2(c_2(c_2(c_0(c_1(c_3(c_2(c_0(c_0(c_1(c_2(c_3(c_1(c_2(z0)))))))))))))))))) -> 2(1(2(2(1(0(0(3(3(0(1(2(2(2(2(2(1(2(z0))))))))))))))))))
   2(c_2(c_3(c_2(c_2(c_3(c_1(c_0(c_2(c_3(c_1(c_1(c_1(c_0(c_0(c_1(c_0(c_2(z0)))))))))))))))))) -> 0(2(1(1(2(2(0(3(3(0(1(1(2(2(1(0(3(2(z0))))))))))))))))))
   2(c_3(c_3(c_2(c_1(c_0(c_3(c_0(c_0(c_0(c_3(c_3(c_1(c_3(c_0(c_0(c_0(c_3(z0)))))))))))))))))) -> 2(1(0(3(0(3(0(3(3(3(0(0(0(0(2(1(3(3(z0))))))))))))))))))
   2(c_1(c_0(c_3(c_1(c_3(c_1(c_2(c_2(c_2(c_2(c_1(c_2(c_3(c_1(c_3(c_0(c_2(z0)))))))))))))))))) -> 2(3(3(2(1(2(0(3(1(2(2(1(0(3(2(2(1(1(z0))))))))))))))))))
   2(c_2(c_3(c_1(c_1(c_1(c_3(c_1(c_2(c_0(c_1(c_2(c_2(c_0(c_1(c_2(c_2(c_2(z0)))))))))))))))))) -> 2(2(1(2(1(3(1(1(2(3(2(2(0(1(2(0(1(2(z0))))))))))))))))))
   2(c_2(c_2(c_2(c_3(c_2(c_0(c_1(c_3(c_1(c_2(c_2(c_2(c_1(c_3(c_2(c_3(c_3(z0)))))))))))))))))) -> 2(3(1(2(2(1(2(2(1(0(2(2(2(2(3(3(3(3(z0))))))))))))))))))
   2(c_0(c_2(c_2(c_3(c_1(c_0(c_3(c_2(c_3(c_0(c_3(c_2(c_0(c_0(c_2(c_0(c_2(z0)))))))))))))))))) -> 2(0(0(2(3(0(3(3(0(3(2(0(1(2(2(2(0(2(z0))))))))))))))))))
   2(c_1(c_3(c_0(c_0(c_2(c_2(c_1(c_1(c_3(c_1(c_3(c_1(c_0(c_0(c_2(c_1(c_2(z0)))))))))))))))))) -> 0(1(2(1(0(1(2(1(0(0(1(1(2(3(3(3(2(2(z0))))))))))))))))))
   2(c_0(c_3(c_0(c_0(c_1(c_3(c_1(c_2(c_0(c_2(c_1(c_3(c_0(c_2(c_2(c_0(c_0(z0)))))))))))))))))) -> 0(0(3(0(3(2(1(2(1(2(2(1(2(0(0(0(3(0(z0))))))))))))))))))
   2(c_0(c_2(c_0(c_3(c_0(c_0(c_2(c_2(c_1(c_1(c_0(c_3(c_1(c_0(c_3(c_1(c_1(z0)))))))))))))))))) -> 2(0(0(3(3(2(2(1(0(1(0(1(0(3(2(1(0(1(z0))))))))))))))))))
   2(c_2(c_0(c_0(c_3(c_0(c_1(c_3(c_1(c_0(c_2(c_2(c_2(c_3(c_0(c_1(c_2(c_0(z0)))))))))))))))))) -> 0(2(0(3(2(3(2(1(0(2(0(2(1(0(1(0(2(3(z0))))))))))))))))))
   2(c_0(c_0(c_0(c_1(c_1(c_3(c_1(c_1(c_1(c_2(c_2(c_2(c_2(c_2(c_0(c_1(c_3(z0)))))))))))))))))) -> 2(0(1(2(0(0(3(2(2(1(1(1(1(2(2(1(3(0(z0))))))))))))))))))
   2(c_0(c_3(c_1(c_0(c_3(c_2(c_1(c_0(c_2(c_3(c_1(c_0(c_2(c_2(c_1(c_1(c_1(z0)))))))))))))))))) -> 2(1(2(2(2(0(1(1(0(0(3(3(1(3(0(2(1(1(z0))))))))))))))))))
   2(c_1(c_2(c_1(c_3(c_0(c_2(c_2(c_3(c_2(c_3(c_1(c_1(c_1(c_3(c_3(c_0(c_2(z0)))))))))))))))))) -> 2(1(2(1(3(2(1(2(3(2(3(3(0(0(3(1(2(1(z0))))))))))))))))))
   2(c_2(c_1(c_3(c_3(c_0(c_0(c_2(c_1(c_3(c_0(c_1(c_2(c_2(c_2(c_2(c_3(c_3(z0)))))))))))))))))) -> 2(0(2(2(0(2(1(0(3(2(2(1(1(3(2(3(3(3(z0))))))))))))))))))
   2(c_1(c_2(c_3(c_1(c_3(c_2(c_0(c_2(c_2(c_3(c_3(c_3(c_2(c_3(c_1(c_3(c_3(z0)))))))))))))))))) -> 2(3(3(2(2(1(3(2(3(2(1(0(3(3(1(2(3(3(z0))))))))))))))))))
   2(c_0(c_1(c_0(c_1(c_2(c_2(c_2(c_2(c_3(c_3(c_1(c_1(c_1(c_1(c_2(c_1(c_2(z0)))))))))))))))))) -> 0(2(2(1(1(1(2(1(0(3(3(2(2(1(1(2(1(2(z0))))))))))))))))))
   2(c_3(c_0(c_1(c_3(c_1(c_3(c_3(c_0(c_3(c_0(c_2(c_0(c_3(c_1(c_3(c_2(c_3(z0)))))))))))))))))) -> 0(2(0(3(3(3(2(1(3(0(3(3(3(3(1(1(2(0(z0))))))))))))))))))
   3(z0) -> c_3(z0)
   3(c_0(c_0(c_3(c_1(c_3(c_0(c_2(c_0(c_2(c_0(c_0(c_1(c_0(c_3(c_2(c_3(c_2(z0)))))))))))))))))) -> 0(0(3(2(3(3(0(0(0(3(2(0(1(2(3(1(0(2(z0))))))))))))))))))
   3(c_3(c_0(c_2(c_3(c_0(c_1(c_3(c_3(c_3(c_1(c_2(c_1(c_3(c_2(c_2(c_0(c_3(z0)))))))))))))))))) -> 2(3(1(1(0(1(2(0(3(3(3(2(3(2(3(3(0(3(z0))))))))))))))))))
   3(c_3(c_3(c_2(c_3(c_0(c_2(c_2(c_3(c_1(c_2(c_3(c_0(c_3(c_3(c_2(c_2(c_2(z0)))))))))))))))))) -> 3(0(3(2(2(2(0(3(3(3(2(2(3(2(1(3(3(2(z0))))))))))))))))))
   3(c_1(c_1(c_1(c_3(c_1(c_3(c_3(c_3(c_2(c_3(c_0(c_0(c_2(c_3(c_1(c_3(c_1(z0)))))))))))))))))) -> 3(3(1(2(2(3(0(1(0(3(3(3(1(1(1(3(3(1(z0))))))))))))))))))
   3(c_3(c_2(c_0(c_0(c_1(c_0(c_2(c_3(c_3(c_0(c_3(c_1(c_3(c_3(c_1(c_3(c_3(z0)))))))))))))))))) -> 0(0(3(3(1(1(0(2(2(3(1(3(3(0(3(3(3(3(z0))))))))))))))))))
   3(c_1(c_3(c_2(c_1(c_3(c_1(c_0(c_3(c_2(c_0(c_2(c_0(c_3(c_0(c_2(c_3(c_3(z0)))))))))))))))))) -> 2(2(0(1(2(1(0(3(3(3(0(3(2(1(3(3(3(0(z0))))))))))))))))))
   3(c_1(c_3(c_1(c_1(c_1(c_1(c_3(c_2(c_0(c_0(c_2(c_2(c_2(c_1(c_3(c_3(c_1(z0)))))))))))))))))) -> 3(1(0(3(1(1(0(2(2(2(3(1(2(1(1(3(3(1(z0))))))))))))))))))
   3(c_0(c_0(c_2(c_2(c_2(c_1(c_3(c_1(c_3(c_3(c_3(c_2(c_0(c_2(c_3(c_3(c_3(z0)))))))))))))))))) -> 2(1(2(1(2(3(3(0(2(3(0(3(3(3(2(0(3(3(z0))))))))))))))))))
   3(c_3(c_3(c_1(c_3(c_1(c_3(c_0(c_3(c_3(c_2(c_0(c_1(c_3(c_0(c_1(c_2(c_3(z0)))))))))))))))))) -> 3(3(3(1(1(3(1(3(3(3(2(3(0(3(1(2(0(0(z0))))))))))))))))))
   3(c_0(c_0(c_0(c_2(c_0(c_3(c_2(c_0(c_2(c_2(c_2(c_0(c_0(c_1(c_3(c_0(c_2(z0)))))))))))))))))) -> 0(0(2(1(2(3(0(3(2(0(2(0(0(3(0(2(0(2(z0))))))))))))))))))
   3(c_2(c_3(c_0(c_2(c_2(c_2(c_2(c_0(c_0(c_0(c_1(c_1(c_1(c_3(c_0(c_2(c_3(z0)))))))))))))))))) -> 3(0(2(3(2(0(3(1(2(0(2(1(0(3(2(1(2(0(z0))))))))))))))))))
   3(c_2(c_0(c_0(c_0(c_2(c_3(c_3(c_1(c_1(c_0(c_1(c_3(c_2(c_3(c_3(c_0(c_0(z0)))))))))))))))))) -> 3(0(2(1(2(3(3(0(3(1(0(1(2(3(3(0(0(0(z0))))))))))))))))))
   3(c_0(c_3(c_2(c_2(c_0(c_2(c_0(c_0(c_0(c_1(c_3(c_2(c_3(c_3(c_0(c_3(c_0(z0)))))))))))))))))) -> 3(0(2(0(1(2(2(0(3(0(2(0(3(0(3(3(3(0(z0))))))))))))))))))
   3(c_0(c_2(c_2(c_0(c_1(c_2(c_0(c_0(c_2(c_0(c_2(c_2(c_2(c_3(c_1(c_0(c_2(z0)))))))))))))))))) -> 0(2(1(2(2(3(0(0(3(2(2(1(2(0(2(0(0(2(z0))))))))))))))))))
   3(c_3(c_2(c_1(c_3(c_2(c_0(c_2(c_0(c_0(c_3(c_1(c_3(c_0(c_2(c_0(c_2(c_2(z0)))))))))))))))))) -> 2(0(1(3(2(2(2(1(2(3(3(0(3(0(0(0(3(2(z0))))))))))))))))))
   3(c_0(c_2(c_2(c_3(c_2(c_2(c_3(c_2(c_2(c_3(c_3(c_2(c_0(c_1(c_3(c_2(c_3(z0)))))))))))))))))) -> 0(3(3(2(1(3(3(2(2(3(2(2(2(0(3(2(2(3(z0))))))))))))))))))
   3(c_0(c_1(c_2(c_1(c_0(c_2(c_1(c_1(c_3(c_0(c_1(c_2(c_3(c_1(c_1(c_1(c_1(z0)))))))))))))))))) -> 3(3(1(1(1(0(1(2(1(1(1(2(2(3(0(1(0(1(z0))))))))))))))))))
   3(c_3(c_2(c_1(c_3(c_0(c_0(c_1(c_3(c_2(c_0(c_0(c_2(c_3(c_3(c_0(c_0(c_2(z0)))))))))))))))))) -> 3(0(0(3(0(3(0(1(2(0(3(1(3(0(3(2(2(2(z0))))))))))))))))))
   3(c_3(c_0(c_2(c_0(c_2(c_0(c_1(c_2(c_0(c_2(c_3(c_0(c_2(c_2(c_0(c_3(c_3(z0)))))))))))))))))) -> 3(2(0(3(2(0(0(0(3(0(3(2(2(2(1(2(0(3(z0))))))))))))))))))
   3(c_2(c_2(c_1(c_2(c_2(c_3(c_1(c_1(c_2(c_0(c_1(c_3(c_1(c_2(c_2(c_1(c_1(z0)))))))))))))))))) -> 3(1(1(1(2(2(1(3(2(3(2(2(1(1(2(0(2(1(z0))))))))))))))))))
   3(c_2(c_2(c_2(c_3(c_2(c_3(c_0(c_1(c_3(c_2(c_1(c_3(c_2(c_3(c_0(c_2(c_1(z0)))))))))))))))))) -> 0(0(3(3(2(1(2(1(3(3(3(3(2(2(2(2(2(1(z0))))))))))))))))))
   3(c_1(c_3(c_2(c_1(c_1(c_3(c_1(c_2(c_2(c_1(c_3(c_2(c_3(c_1(c_0(c_3(c_1(z0)))))))))))))))))) -> 3(1(3(3(1(2(0(1(1(2(2(1(3(3(2(3(1(1(z0))))))))))))))))))
   3(c_2(c_1(c_3(c_1(c_2(c_2(c_2(c_3(c_3(c_0(c_2(c_1(c_3(c_0(c_2(c_0(c_2(z0)))))))))))))))))) -> 3(3(3(2(3(2(2(0(2(2(1(0(3(2(1(2(1(0(z0))))))))))))))))))
   3(c_1(c_0(c_0(c_3(c_0(c_0(c_0(c_0(c_1(c_2(c_0(c_2(c_0(c_2(c_0(c_0(c_1(z0)))))))))))))))))) -> 3(0(0(0(0(0(2(0(0(0(0(3(0(2(1(1(2(1(z0))))))))))))))))))
   3(c_3(c_0(c_3(c_1(c_0(c_0(c_2(c_2(c_2(c_0(c_0(c_0(c_2(c_2(c_1(c_3(c_2(z0)))))))))))))))))) -> 0(3(2(0(3(3(1(2(1(2(2(0(3(0(0(0(2(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_2(c_0(c_3(c_3(c_2(c_3(c_1(c_3(c_1(c_0(c_2(c_1(c_3(c_0(c_2(c_0(z0)))))))))))))))))) -> c9(0'(0(1(1(3(0(3(3(1(2(0(2(3(0(2(2(0(3(z0)))))))))))))))))), 0'(1(1(3(0(3(3(1(2(0(2(3(0(2(2(0(3(z0))))))))))))))))), 1'(1(3(0(3(3(1(2(0(2(3(0(2(2(0(3(z0)))))))))))))))), 1'(3(0(3(3(1(2(0(2(3(0(2(2(0(3(z0))))))))))))))), 3'(0(3(3(1(2(0(2(3(0(2(2(0(3(z0)))))))))))))), 0'(3(3(1(2(0(2(3(0(2(2(0(3(z0))))))))))))), 3'(3(1(2(0(2(3(0(2(2(0(3(z0)))))))))))), 3'(1(2(0(2(3(0(2(2(0(3(z0))))))))))), 1'(2(0(2(3(0(2(2(0(3(z0)))))))))), 2'(0(2(3(0(2(2(0(3(z0))))))))), 0'(2(3(0(2(2(0(3(z0)))))))), 2'(3(0(2(2(0(3(z0))))))), 3'(0(2(2(0(3(z0)))))), 0'(2(2(0(3(z0))))), 2'(2(0(3(z0)))), 2'(0(3(z0))), 0'(3(z0)), 3'(z0))
   0'(c_0(c_2(c_0(c_3(c_0(c_2(c_2(c_3(c_0(c_2(c_0(c_0(c_2(c_3(c_0(c_0(c_2(z0)))))))))))))))))) -> c10(0'(0(3(2(2(0(2(0(0(0(2(2(0(3(0(0(3(2(z0)))))))))))))))))), 0'(3(2(2(0(2(0(0(0(2(2(0(3(0(0(3(2(z0))))))))))))))))), 3'(2(2(0(2(0(0(0(2(2(0(3(0(0(3(2(z0)))))))))))))))), 2'(2(0(2(0(0(0(2(2(0(3(0(0(3(2(z0))))))))))))))), 2'(0(2(0(0(0(2(2(0(3(0(0(3(2(z0)))))))))))))), 0'(2(0(0(0(2(2(0(3(0(0(3(2(z0))))))))))))), 2'(0(0(0(2(2(0(3(0(0(3(2(z0)))))))))))), 0'(0(0(2(2(0(3(0(0(3(2(z0))))))))))), 0'(0(2(2(0(3(0(0(3(2(z0)))))))))), 0'(2(2(0(3(0(0(3(2(z0))))))))), 2'(2(0(3(0(0(3(2(z0)))))))), 2'(0(3(0(0(3(2(z0))))))), 0'(3(0(0(3(2(z0)))))), 3'(0(0(3(2(z0))))), 0'(0(3(2(z0)))), 0'(3(2(z0))), 3'(2(z0)), 2'(z0))
   0'(c_0(c_0(c_1(c_3(c_3(c_2(c_2(c_3(c_0(c_0(c_1(c_3(c_2(c_2(c_3(c_3(c_2(z0)))))))))))))))))) -> c11(3'(0(2(3(0(3(0(3(0(0(1(2(3(3(1(2(2(2(z0)))))))))))))))))), 0'(2(3(0(3(0(3(0(0(1(2(3(3(1(2(2(2(z0))))))))))))))))), 2'(3(0(3(0(3(0(0(1(2(3(3(1(2(2(2(z0)))))))))))))))), 3'(0(3(0(3(0(0(1(2(3(3(1(2(2(2(z0))))))))))))))), 0'(3(0(3(0(0(1(2(3(3(1(2(2(2(z0)))))))))))))), 3'(0(3(0(0(1(2(3(3(1(2(2(2(z0))))))))))))), 0'(3(0(0(1(2(3(3(1(2(2(2(z0)))))))))))), 3'(0(0(1(2(3(3(1(2(2(2(z0))))))))))), 0'(0(1(2(3(3(1(2(2(2(z0)))))))))), 0'(1(2(3(3(1(2(2(2(z0))))))))), 1'(2(3(3(1(2(2(2(z0)))))))), 2'(3(3(1(2(2(2(z0))))))), 3'(3(1(2(2(2(z0)))))), 3'(1(2(2(2(z0))))), 1'(2(2(2(z0)))), 2'(2(2(z0))), 2'(2(z0)), 2'(z0))
   0'(c_0(c_0(c_2(c_2(c_3(c_0(c_0(c_1(c_0(c_0(c_0(c_1(c_0(c_3(c_1(c_2(c_2(z0)))))))))))))))))) -> c12(0'(0(0(3(2(0(1(3(0(2(1(0(0(1(2(0(0(2(z0)))))))))))))))))), 0'(0(3(2(0(1(3(0(2(1(0(0(1(2(0(0(2(z0))))))))))))))))), 0'(3(2(0(1(3(0(2(1(0(0(1(2(0(0(2(z0)))))))))))))))), 3'(2(0(1(3(0(2(1(0(0(1(2(0(0(2(z0))))))))))))))), 2'(0(1(3(0(2(1(0(0(1(2(0(0(2(z0)))))))))))))), 0'(1(3(0(2(1(0(0(1(2(0(0(2(z0))))))))))))), 1'(3(0(2(1(0(0(1(2(0(0(2(z0)))))))))))), 3'(0(2(1(0(0(1(2(0(0(2(z0))))))))))), 0'(2(1(0(0(1(2(0(0(2(z0)))))))))), 2'(1(0(0(1(2(0(0(2(z0))))))))), 1'(0(0(1(2(0(0(2(z0)))))))), 0'(0(1(2(0(0(2(z0))))))), 0'(1(2(0(0(2(z0)))))), 1'(2(0(0(2(z0))))), 2'(0(0(2(z0)))), 0'(0(2(z0))), 0'(2(z0)), 2'(z0))
   0'(c_1(c_0(c_2(c_2(c_1(c_2(c_1(c_3(c_1(c_1(c_2(c_0(c_1(c_2(c_0(c_1(c_0(z0)))))))))))))))))) -> c13(2'(0(0(3(1(2(2(1(2(0(1(0(1(2(1(1(1(0(z0)))))))))))))))))), 0'(0(3(1(2(2(1(2(0(1(0(1(2(1(1(1(0(z0))))))))))))))))), 0'(3(1(2(2(1(2(0(1(0(1(2(1(1(1(0(z0)))))))))))))))), 3'(1(2(2(1(2(0(1(0(1(2(1(1(1(0(z0))))))))))))))), 1'(2(2(1(2(0(1(0(1(2(1(1(1(0(z0)))))))))))))), 2'(2(1(2(0(1(0(1(2(1(1(1(0(z0))))))))))))), 2'(1(2(0(1(0(1(2(1(1(1(0(z0)))))))))))), 1'(2(0(1(0(1(2(1(1(1(0(z0))))))))))), 2'(0(1(0(1(2(1(1(1(0(z0)))))))))), 0'(1(0(1(2(1(1(1(0(z0))))))))), 1'(0(1(2(1(1(1(0(z0)))))))), 0'(1(2(1(1(1(0(z0))))))), 1'(2(1(1(1(0(z0)))))), 2'(1(1(1(0(z0))))), 1'(1(1(0(z0)))), 1'(1(0(z0))), 1'(0(z0)), 0'(z0))
   0'(c_2(c_1(c_0(c_2(c_0(c_3(c_0(c_1(c_0(c_2(c_0(c_2(c_0(c_1(c_2(c_0(c_3(z0)))))))))))))))))) -> c14(0'(2(1(2(0(2(1(2(0(3(0(0(3(2(1(0(0(0(z0)))))))))))))))))), 2'(1(2(0(2(1(2(0(3(0(0(3(2(1(0(0(0(z0))))))))))))))))), 1'(2(0(2(1(2(0(3(0(0(3(2(1(0(0(0(z0)))))))))))))))), 2'(0(2(1(2(0(3(0(0(3(2(1(0(0(0(z0))))))))))))))), 0'(2(1(2(0(3(0(0(3(2(1(0(0(0(z0)))))))))))))), 2'(1(2(0(3(0(0(3(2(1(0(0(0(z0))))))))))))), 1'(2(0(3(0(0(3(2(1(0(0(0(z0)))))))))))), 2'(0(3(0(0(3(2(1(0(0(0(z0))))))))))), 0'(3(0(0(3(2(1(0(0(0(z0)))))))))), 3'(0(0(3(2(1(0(0(0(z0))))))))), 0'(0(3(2(1(0(0(0(z0)))))))), 0'(3(2(1(0(0(0(z0))))))), 3'(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))
   0'(c_1(c_2(c_3(c_3(c_3(c_1(c_3(c_3(c_3(c_2(c_3(c_1(c_2(c_0(c_1(c_3(c_1(z0)))))))))))))))))) -> c15(2'(3(0(3(3(3(1(1(3(0(3(1(3(2(3(1(2(1(z0)))))))))))))))))), 3'(0(3(3(3(1(1(3(0(3(1(3(2(3(1(2(1(z0))))))))))))))))), 0'(3(3(3(1(1(3(0(3(1(3(2(3(1(2(1(z0)))))))))))))))), 3'(3(3(1(1(3(0(3(1(3(2(3(1(2(1(z0))))))))))))))), 3'(3(1(1(3(0(3(1(3(2(3(1(2(1(z0)))))))))))))), 3'(1(1(3(0(3(1(3(2(3(1(2(1(z0))))))))))))), 1'(1(3(0(3(1(3(2(3(1(2(1(z0)))))))))))), 1'(3(0(3(1(3(2(3(1(2(1(z0))))))))))), 3'(0(3(1(3(2(3(1(2(1(z0)))))))))), 0'(3(1(3(2(3(1(2(1(z0))))))))), 3'(1(3(2(3(1(2(1(z0)))))))), 1'(3(2(3(1(2(1(z0))))))), 3'(2(3(1(2(1(z0)))))), 2'(3(1(2(1(z0))))), 3'(1(2(1(z0)))), 1'(2(1(z0))), 2'(1(z0)), 1'(z0))
   0'(c_1(c_1(c_1(c_3(c_0(c_1(c_3(c_1(c_2(c_0(c_2(c_1(c_2(c_2(c_0(c_3(c_0(z0)))))))))))))))))) -> c16(3'(0(3(2(2(1(1(1(2(0(1(1(2(1(3(0(0(0(z0)))))))))))))))))), 0'(3(2(2(1(1(1(2(0(1(1(2(1(3(0(0(0(z0))))))))))))))))), 3'(2(2(1(1(1(2(0(1(1(2(1(3(0(0(0(z0)))))))))))))))), 2'(2(1(1(1(2(0(1(1(2(1(3(0(0(0(z0))))))))))))))), 2'(1(1(1(2(0(1(1(2(1(3(0(0(0(z0)))))))))))))), 1'(1(1(2(0(1(1(2(1(3(0(0(0(z0))))))))))))), 1'(1(2(0(1(1(2(1(3(0(0(0(z0)))))))))))), 1'(2(0(1(1(2(1(3(0(0(0(z0))))))))))), 2'(0(1(1(2(1(3(0(0(0(z0)))))))))), 0'(1(1(2(1(3(0(0(0(z0))))))))), 1'(1(2(1(3(0(0(0(z0)))))))), 1'(2(1(3(0(0(0(z0))))))), 2'(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_1(c_3(c_2(c_3(c_1(c_1(c_3(c_2(c_2(c_0(c_0(c_1(c_3(c_2(c_3(c_3(c_3(z0)))))))))))))))))) -> c17(2'(3(0(3(3(3(1(0(0(1(2(1(3(2(3(2(1(3(z0)))))))))))))))))), 3'(0(3(3(3(1(0(0(1(2(1(3(2(3(2(1(3(z0))))))))))))))))), 0'(3(3(3(1(0(0(1(2(1(3(2(3(2(1(3(z0)))))))))))))))), 3'(3(3(1(0(0(1(2(1(3(2(3(2(1(3(z0))))))))))))))), 3'(3(1(0(0(1(2(1(3(2(3(2(1(3(z0)))))))))))))), 3'(1(0(0(1(2(1(3(2(3(2(1(3(z0))))))))))))), 1'(0(0(1(2(1(3(2(3(2(1(3(z0)))))))))))), 0'(0(1(2(1(3(2(3(2(1(3(z0))))))))))), 0'(1(2(1(3(2(3(2(1(3(z0)))))))))), 1'(2(1(3(2(3(2(1(3(z0))))))))), 2'(1(3(2(3(2(1(3(z0)))))))), 1'(3(2(3(2(1(3(z0))))))), 3'(2(3(2(1(3(z0)))))), 2'(3(2(1(3(z0))))), 3'(2(1(3(z0)))), 2'(1(3(z0))), 1'(3(z0)), 3'(z0))
   0'(c_1(c_0(c_0(c_2(c_2(c_2(c_3(c_2(c_1(c_3(c_2(c_3(c_3(c_1(c_0(c_1(c_0(z0)))))))))))))))))) -> c18(0'(1(2(3(0(3(3(0(2(0(1(0(2(1(3(2(1(2(z0)))))))))))))))))), 1'(2(3(0(3(3(0(2(0(1(0(2(1(3(2(1(2(z0))))))))))))))))), 2'(3(0(3(3(0(2(0(1(0(2(1(3(2(1(2(z0)))))))))))))))), 3'(0(3(3(0(2(0(1(0(2(1(3(2(1(2(z0))))))))))))))), 0'(3(3(0(2(0(1(0(2(1(3(2(1(2(z0)))))))))))))), 3'(3(0(2(0(1(0(2(1(3(2(1(2(z0))))))))))))), 3'(0(2(0(1(0(2(1(3(2(1(2(z0)))))))))))), 0'(2(0(1(0(2(1(3(2(1(2(z0))))))))))), 2'(0(1(0(2(1(3(2(1(2(z0)))))))))), 0'(1(0(2(1(3(2(1(2(z0))))))))), 1'(0(2(1(3(2(1(2(z0)))))))), 0'(2(1(3(2(1(2(z0))))))), 2'(1(3(2(1(2(z0)))))), 1'(3(2(1(2(z0))))), 3'(2(1(2(z0)))), 2'(1(2(z0))), 1'(2(z0)), 2'(z0))
   0'(c_3(c_2(c_3(c_1(c_0(c_0(c_1(c_0(c_0(c_1(c_2(c_3(c_2(c_1(c_1(c_0(c_1(z0)))))))))))))))))) -> c19(3'(0(0(3(1(1(0(0(2(1(2(2(0(1(1(0(3(1(z0)))))))))))))))))), 0'(0(3(1(1(0(0(2(1(2(2(0(1(1(0(3(1(z0))))))))))))))))), 0'(3(1(1(0(0(2(1(2(2(0(1(1(0(3(1(z0)))))))))))))))), 3'(1(1(0(0(2(1(2(2(0(1(1(0(3(1(z0))))))))))))))), 1'(1(0(0(2(1(2(2(0(1(1(0(3(1(z0)))))))))))))), 1'(0(0(2(1(2(2(0(1(1(0(3(1(z0))))))))))))), 0'(0(2(1(2(2(0(1(1(0(3(1(z0)))))))))))), 0'(2(1(2(2(0(1(1(0(3(1(z0))))))))))), 2'(1(2(2(0(1(1(0(3(1(z0)))))))))), 1'(2(2(0(1(1(0(3(1(z0))))))))), 2'(2(0(1(1(0(3(1(z0)))))))), 2'(0(1(1(0(3(1(z0))))))), 0'(1(1(0(3(1(z0)))))), 1'(1(0(3(1(z0))))), 1'(0(3(1(z0)))), 0'(3(1(z0))), 3'(1(z0)), 1'(z0))
   0'(c_2(c_0(c_1(c_0(c_0(c_0(c_1(c_0(c_3(c_0(c_2(c_3(c_3(c_3(c_3(c_0(c_3(z0)))))))))))))))))) -> c20(0'(3(0(0(0(3(3(2(0(1(1(0(2(3(0(0(3(3(z0)))))))))))))))))), 3'(0(0(0(3(3(2(0(1(1(0(2(3(0(0(3(3(z0))))))))))))))))), 0'(0(0(3(3(2(0(1(1(0(2(3(0(0(3(3(z0)))))))))))))))), 0'(0(3(3(2(0(1(1(0(2(3(0(0(3(3(z0))))))))))))))), 0'(3(3(2(0(1(1(0(2(3(0(0(3(3(z0)))))))))))))), 3'(3(2(0(1(1(0(2(3(0(0(3(3(z0))))))))))))), 3'(2(0(1(1(0(2(3(0(0(3(3(z0)))))))))))), 2'(0(1(1(0(2(3(0(0(3(3(z0))))))))))), 0'(1(1(0(2(3(0(0(3(3(z0)))))))))), 1'(1(0(2(3(0(0(3(3(z0))))))))), 1'(0(2(3(0(0(3(3(z0)))))))), 0'(2(3(0(0(3(3(z0))))))), 2'(3(0(0(3(3(z0)))))), 3'(0(0(3(3(z0))))), 0'(0(3(3(z0)))), 0'(3(3(z0))), 3'(3(z0)), 3'(z0))
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   3'(c_2(c_1(c_3(c_1(c_2(c_2(c_2(c_3(c_3(c_0(c_2(c_1(c_3(c_0(c_2(c_0(c_2(z0)))))))))))))))))) -> c89(3'(3(3(2(3(2(2(0(2(2(1(0(3(2(1(2(1(0(z0)))))))))))))))))), 3'(3(2(3(2(2(0(2(2(1(0(3(2(1(2(1(0(z0))))))))))))))))), 3'(2(3(2(2(0(2(2(1(0(3(2(1(2(1(0(z0)))))))))))))))), 2'(3(2(2(0(2(2(1(0(3(2(1(2(1(0(z0))))))))))))))), 3'(2(2(0(2(2(1(0(3(2(1(2(1(0(z0)))))))))))))), 2'(2(0(2(2(1(0(3(2(1(2(1(0(z0))))))))))))), 2'(0(2(2(1(0(3(2(1(2(1(0(z0)))))))))))), 0'(2(2(1(0(3(2(1(2(1(0(z0))))))))))), 2'(2(1(0(3(2(1(2(1(0(z0)))))))))), 2'(1(0(3(2(1(2(1(0(z0))))))))), 1'(0(3(2(1(2(1(0(z0)))))))), 0'(3(2(1(2(1(0(z0))))))), 3'(2(1(2(1(0(z0)))))), 2'(1(2(1(0(z0))))), 1'(2(1(0(z0)))), 2'(1(0(z0))), 1'(0(z0)), 0'(z0))
   3'(c_1(c_0(c_0(c_3(c_0(c_0(c_0(c_0(c_1(c_2(c_0(c_2(c_0(c_2(c_0(c_0(c_1(z0)))))))))))))))))) -> c90(3'(0(0(0(0(0(2(0(0(0(0(3(0(2(1(1(2(1(z0)))))))))))))))))), 0'(0(0(0(0(2(0(0(0(0(3(0(2(1(1(2(1(z0))))))))))))))))), 0'(0(0(0(2(0(0(0(0(3(0(2(1(1(2(1(z0)))))))))))))))), 0'(0(0(2(0(0(0(0(3(0(2(1(1(2(1(z0))))))))))))))), 0'(0(2(0(0(0(0(3(0(2(1(1(2(1(z0)))))))))))))), 0'(2(0(0(0(0(3(0(2(1(1(2(1(z0))))))))))))), 2'(0(0(0(0(3(0(2(1(1(2(1(z0)))))))))))), 0'(0(0(0(3(0(2(1(1(2(1(z0))))))))))), 0'(0(0(3(0(2(1(1(2(1(z0)))))))))), 0'(0(3(0(2(1(1(2(1(z0))))))))), 0'(3(0(2(1(1(2(1(z0)))))))), 3'(0(2(1(1(2(1(z0))))))), 0'(2(1(1(2(1(z0)))))), 2'(1(1(2(1(z0))))), 1'(1(2(1(z0)))), 1'(2(1(z0))), 2'(1(z0)), 1'(z0))
   3'(c_3(c_0(c_3(c_1(c_0(c_0(c_2(c_2(c_2(c_0(c_0(c_0(c_2(c_2(c_1(c_3(c_2(z0)))))))))))))))))) -> c91(0'(3(2(0(3(3(1(2(1(2(2(0(3(0(0(0(2(2(z0)))))))))))))))))), 3'(2(0(3(3(1(2(1(2(2(0(3(0(0(0(2(2(z0))))))))))))))))), 2'(0(3(3(1(2(1(2(2(0(3(0(0(0(2(2(z0)))))))))))))))), 0'(3(3(1(2(1(2(2(0(3(0(0(0(2(2(z0))))))))))))))), 3'(3(1(2(1(2(2(0(3(0(0(0(2(2(z0)))))))))))))), 3'(1(2(1(2(2(0(3(0(0(0(2(2(z0))))))))))))), 1'(2(1(2(2(0(3(0(0(0(2(2(z0)))))))))))), 2'(1(2(2(0(3(0(0(0(2(2(z0))))))))))), 1'(2(2(0(3(0(0(0(2(2(z0)))))))))), 2'(2(0(3(0(0(0(2(2(z0))))))))), 2'(0(3(0(0(0(2(2(z0)))))))), 0'(3(0(0(0(2(2(z0))))))), 3'(0(0(0(2(2(z0)))))), 0'(0(0(2(2(z0))))), 0'(0(2(2(z0)))), 0'(2(2(z0))), 2'(2(z0)), 2'(z0))
   ENCODE_0(z0) -> c8(0'(encArg(z0)))
   ENCODE_1(z0) -> c8(1'(encArg(z0)))
   ENCODE_3(z0) -> c8(3'(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:
   0'(c_0(c_2(c_0(c_3(c_3(c_2(c_3(c_1(c_3(c_1(c_0(c_2(c_1(c_3(c_0(c_2(c_0(z0)))))))))))))))))) -> c9(0'(0(1(1(3(0(3(3(1(2(0(2(3(0(2(2(0(3(z0)))))))))))))))))), 0'(1(1(3(0(3(3(1(2(0(2(3(0(2(2(0(3(z0))))))))))))))))), 1'(1(3(0(3(3(1(2(0(2(3(0(2(2(0(3(z0)))))))))))))))), 1'(3(0(3(3(1(2(0(2(3(0(2(2(0(3(z0))))))))))))))), 3'(0(3(3(1(2(0(2(3(0(2(2(0(3(z0)))))))))))))), 0'(3(3(1(2(0(2(3(0(2(2(0(3(z0))))))))))))), 3'(3(1(2(0(2(3(0(2(2(0(3(z0)))))))))))), 3'(1(2(0(2(3(0(2(2(0(3(z0))))))))))), 1'(2(0(2(3(0(2(2(0(3(z0)))))))))), 2'(0(2(3(0(2(2(0(3(z0))))))))), 0'(2(3(0(2(2(0(3(z0)))))))), 2'(3(0(2(2(0(3(z0))))))), 3'(0(2(2(0(3(z0)))))), 0'(2(2(0(3(z0))))), 2'(2(0(3(z0)))), 2'(0(3(z0))), 0'(3(z0)), 3'(z0))
   0'(c_0(c_2(c_0(c_3(c_0(c_2(c_2(c_3(c_0(c_2(c_0(c_0(c_2(c_3(c_0(c_0(c_2(z0)))))))))))))))))) -> c10(0'(0(3(2(2(0(2(0(0(0(2(2(0(3(0(0(3(2(z0)))))))))))))))))), 0'(3(2(2(0(2(0(0(0(2(2(0(3(0(0(3(2(z0))))))))))))))))), 3'(2(2(0(2(0(0(0(2(2(0(3(0(0(3(2(z0)))))))))))))))), 2'(2(0(2(0(0(0(2(2(0(3(0(0(3(2(z0))))))))))))))), 2'(0(2(0(0(0(2(2(0(3(0(0(3(2(z0)))))))))))))), 0'(2(0(0(0(2(2(0(3(0(0(3(2(z0))))))))))))), 2'(0(0(0(2(2(0(3(0(0(3(2(z0)))))))))))), 0'(0(0(2(2(0(3(0(0(3(2(z0))))))))))), 0'(0(2(2(0(3(0(0(3(2(z0)))))))))), 0'(2(2(0(3(0(0(3(2(z0))))))))), 2'(2(0(3(0(0(3(2(z0)))))))), 2'(0(3(0(0(3(2(z0))))))), 0'(3(0(0(3(2(z0)))))), 3'(0(0(3(2(z0))))), 0'(0(3(2(z0)))), 0'(3(2(z0))), 3'(2(z0)), 2'(z0))
   0'(c_0(c_0(c_1(c_3(c_3(c_2(c_2(c_3(c_0(c_0(c_1(c_3(c_2(c_2(c_3(c_3(c_2(z0)))))))))))))))))) -> c11(3'(0(2(3(0(3(0(3(0(0(1(2(3(3(1(2(2(2(z0)))))))))))))))))), 0'(2(3(0(3(0(3(0(0(1(2(3(3(1(2(2(2(z0))))))))))))))))), 2'(3(0(3(0(3(0(0(1(2(3(3(1(2(2(2(z0)))))))))))))))), 3'(0(3(0(3(0(0(1(2(3(3(1(2(2(2(z0))))))))))))))), 0'(3(0(3(0(0(1(2(3(3(1(2(2(2(z0)))))))))))))), 3'(0(3(0(0(1(2(3(3(1(2(2(2(z0))))))))))))), 0'(3(0(0(1(2(3(3(1(2(2(2(z0)))))))))))), 3'(0(0(1(2(3(3(1(2(2(2(z0))))))))))), 0'(0(1(2(3(3(1(2(2(2(z0)))))))))), 0'(1(2(3(3(1(2(2(2(z0))))))))), 1'(2(3(3(1(2(2(2(z0)))))))), 2'(3(3(1(2(2(2(z0))))))), 3'(3(1(2(2(2(z0)))))), 3'(1(2(2(2(z0))))), 1'(2(2(2(z0)))), 2'(2(2(z0))), 2'(2(z0)), 2'(z0))
   0'(c_0(c_0(c_2(c_2(c_3(c_0(c_0(c_1(c_0(c_0(c_0(c_1(c_0(c_3(c_1(c_2(c_2(z0)))))))))))))))))) -> c12(0'(0(0(3(2(0(1(3(0(2(1(0(0(1(2(0(0(2(z0)))))))))))))))))), 0'(0(3(2(0(1(3(0(2(1(0(0(1(2(0(0(2(z0))))))))))))))))), 0'(3(2(0(1(3(0(2(1(0(0(1(2(0(0(2(z0)))))))))))))))), 3'(2(0(1(3(0(2(1(0(0(1(2(0(0(2(z0))))))))))))))), 2'(0(1(3(0(2(1(0(0(1(2(0(0(2(z0)))))))))))))), 0'(1(3(0(2(1(0(0(1(2(0(0(2(z0))))))))))))), 1'(3(0(2(1(0(0(1(2(0(0(2(z0)))))))))))), 3'(0(2(1(0(0(1(2(0(0(2(z0))))))))))), 0'(2(1(0(0(1(2(0(0(2(z0)))))))))), 2'(1(0(0(1(2(0(0(2(z0))))))))), 1'(0(0(1(2(0(0(2(z0)))))))), 0'(0(1(2(0(0(2(z0))))))), 0'(1(2(0(0(2(z0)))))), 1'(2(0(0(2(z0))))), 2'(0(0(2(z0)))), 0'(0(2(z0))), 0'(2(z0)), 2'(z0))
   0'(c_1(c_0(c_2(c_2(c_1(c_2(c_1(c_3(c_1(c_1(c_2(c_0(c_1(c_2(c_0(c_1(c_0(z0)))))))))))))))))) -> c13(2'(0(0(3(1(2(2(1(2(0(1(0(1(2(1(1(1(0(z0)))))))))))))))))), 0'(0(3(1(2(2(1(2(0(1(0(1(2(1(1(1(0(z0))))))))))))))))), 0'(3(1(2(2(1(2(0(1(0(1(2(1(1(1(0(z0)))))))))))))))), 3'(1(2(2(1(2(0(1(0(1(2(1(1(1(0(z0))))))))))))))), 1'(2(2(1(2(0(1(0(1(2(1(1(1(0(z0)))))))))))))), 2'(2(1(2(0(1(0(1(2(1(1(1(0(z0))))))))))))), 2'(1(2(0(1(0(1(2(1(1(1(0(z0)))))))))))), 1'(2(0(1(0(1(2(1(1(1(0(z0))))))))))), 2'(0(1(0(1(2(1(1(1(0(z0)))))))))), 0'(1(0(1(2(1(1(1(0(z0))))))))), 1'(0(1(2(1(1(1(0(z0)))))))), 0'(1(2(1(1(1(0(z0))))))), 1'(2(1(1(1(0(z0)))))), 2'(1(1(1(0(z0))))), 1'(1(1(0(z0)))), 1'(1(0(z0))), 1'(0(z0)), 0'(z0))
   0'(c_2(c_1(c_0(c_2(c_0(c_3(c_0(c_1(c_0(c_2(c_0(c_2(c_0(c_1(c_2(c_0(c_3(z0)))))))))))))))))) -> c14(0'(2(1(2(0(2(1(2(0(3(0(0(3(2(1(0(0(0(z0)))))))))))))))))), 2'(1(2(0(2(1(2(0(3(0(0(3(2(1(0(0(0(z0))))))))))))))))), 1'(2(0(2(1(2(0(3(0(0(3(2(1(0(0(0(z0)))))))))))))))), 2'(0(2(1(2(0(3(0(0(3(2(1(0(0(0(z0))))))))))))))), 0'(2(1(2(0(3(0(0(3(2(1(0(0(0(z0)))))))))))))), 2'(1(2(0(3(0(0(3(2(1(0(0(0(z0))))))))))))), 1'(2(0(3(0(0(3(2(1(0(0(0(z0)))))))))))), 2'(0(3(0(0(3(2(1(0(0(0(z0))))))))))), 0'(3(0(0(3(2(1(0(0(0(z0)))))))))), 3'(0(0(3(2(1(0(0(0(z0))))))))), 0'(0(3(2(1(0(0(0(z0)))))))), 0'(3(2(1(0(0(0(z0))))))), 3'(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))
   0'(c_1(c_2(c_3(c_3(c_3(c_1(c_3(c_3(c_3(c_2(c_3(c_1(c_2(c_0(c_1(c_3(c_1(z0)))))))))))))))))) -> c15(2'(3(0(3(3(3(1(1(3(0(3(1(3(2(3(1(2(1(z0)))))))))))))))))), 3'(0(3(3(3(1(1(3(0(3(1(3(2(3(1(2(1(z0))))))))))))))))), 0'(3(3(3(1(1(3(0(3(1(3(2(3(1(2(1(z0)))))))))))))))), 3'(3(3(1(1(3(0(3(1(3(2(3(1(2(1(z0))))))))))))))), 3'(3(1(1(3(0(3(1(3(2(3(1(2(1(z0)))))))))))))), 3'(1(1(3(0(3(1(3(2(3(1(2(1(z0))))))))))))), 1'(1(3(0(3(1(3(2(3(1(2(1(z0)))))))))))), 1'(3(0(3(1(3(2(3(1(2(1(z0))))))))))), 3'(0(3(1(3(2(3(1(2(1(z0)))))))))), 0'(3(1(3(2(3(1(2(1(z0))))))))), 3'(1(3(2(3(1(2(1(z0)))))))), 1'(3(2(3(1(2(1(z0))))))), 3'(2(3(1(2(1(z0)))))), 2'(3(1(2(1(z0))))), 3'(1(2(1(z0)))), 1'(2(1(z0))), 2'(1(z0)), 1'(z0))
   0'(c_1(c_1(c_1(c_3(c_0(c_1(c_3(c_1(c_2(c_0(c_2(c_1(c_2(c_2(c_0(c_3(c_0(z0)))))))))))))))))) -> c16(3'(0(3(2(2(1(1(1(2(0(1(1(2(1(3(0(0(0(z0)))))))))))))))))), 0'(3(2(2(1(1(1(2(0(1(1(2(1(3(0(0(0(z0))))))))))))))))), 3'(2(2(1(1(1(2(0(1(1(2(1(3(0(0(0(z0)))))))))))))))), 2'(2(1(1(1(2(0(1(1(2(1(3(0(0(0(z0))))))))))))))), 2'(1(1(1(2(0(1(1(2(1(3(0(0(0(z0)))))))))))))), 1'(1(1(2(0(1(1(2(1(3(0(0(0(z0))))))))))))), 1'(1(2(0(1(1(2(1(3(0(0(0(z0)))))))))))), 1'(2(0(1(1(2(1(3(0(0(0(z0))))))))))), 2'(0(1(1(2(1(3(0(0(0(z0)))))))))), 0'(1(1(2(1(3(0(0(0(z0))))))))), 1'(1(2(1(3(0(0(0(z0)))))))), 1'(2(1(3(0(0(0(z0))))))), 2'(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_1(c_3(c_2(c_3(c_1(c_1(c_3(c_2(c_2(c_0(c_0(c_1(c_3(c_2(c_3(c_3(c_3(z0)))))))))))))))))) -> c17(2'(3(0(3(3(3(1(0(0(1(2(1(3(2(3(2(1(3(z0)))))))))))))))))), 3'(0(3(3(3(1(0(0(1(2(1(3(2(3(2(1(3(z0))))))))))))))))), 0'(3(3(3(1(0(0(1(2(1(3(2(3(2(1(3(z0)))))))))))))))), 3'(3(3(1(0(0(1(2(1(3(2(3(2(1(3(z0))))))))))))))), 3'(3(1(0(0(1(2(1(3(2(3(2(1(3(z0)))))))))))))), 3'(1(0(0(1(2(1(3(2(3(2(1(3(z0))))))))))))), 1'(0(0(1(2(1(3(2(3(2(1(3(z0)))))))))))), 0'(0(1(2(1(3(2(3(2(1(3(z0))))))))))), 0'(1(2(1(3(2(3(2(1(3(z0)))))))))), 1'(2(1(3(2(3(2(1(3(z0))))))))), 2'(1(3(2(3(2(1(3(z0)))))))), 1'(3(2(3(2(1(3(z0))))))), 3'(2(3(2(1(3(z0)))))), 2'(3(2(1(3(z0))))), 3'(2(1(3(z0)))), 2'(1(3(z0))), 1'(3(z0)), 3'(z0))
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   3'(c_2(c_2(c_1(c_2(c_2(c_3(c_1(c_1(c_2(c_0(c_1(c_3(c_1(c_2(c_2(c_1(c_1(z0)))))))))))))))))) -> c86(3'(1(1(1(2(2(1(3(2(3(2(2(1(1(2(0(2(1(z0)))))))))))))))))), 1'(1(1(2(2(1(3(2(3(2(2(1(1(2(0(2(1(z0))))))))))))))))), 1'(1(2(2(1(3(2(3(2(2(1(1(2(0(2(1(z0)))))))))))))))), 1'(2(2(1(3(2(3(2(2(1(1(2(0(2(1(z0))))))))))))))), 2'(2(1(3(2(3(2(2(1(1(2(0(2(1(z0)))))))))))))), 2'(1(3(2(3(2(2(1(1(2(0(2(1(z0))))))))))))), 1'(3(2(3(2(2(1(1(2(0(2(1(z0)))))))))))), 3'(2(3(2(2(1(1(2(0(2(1(z0))))))))))), 2'(3(2(2(1(1(2(0(2(1(z0)))))))))), 3'(2(2(1(1(2(0(2(1(z0))))))))), 2'(2(1(1(2(0(2(1(z0)))))))), 2'(1(1(2(0(2(1(z0))))))), 1'(1(2(0(2(1(z0)))))), 1'(2(0(2(1(z0))))), 2'(0(2(1(z0)))), 0'(2(1(z0))), 2'(1(z0)), 1'(z0))
   3'(c_2(c_2(c_2(c_3(c_2(c_3(c_0(c_1(c_3(c_2(c_1(c_3(c_2(c_3(c_0(c_2(c_1(z0)))))))))))))))))) -> c87(0'(0(3(3(2(1(2(1(3(3(3(3(2(2(2(2(2(1(z0)))))))))))))))))), 0'(3(3(2(1(2(1(3(3(3(3(2(2(2(2(2(1(z0))))))))))))))))), 3'(3(2(1(2(1(3(3(3(3(2(2(2(2(2(1(z0)))))))))))))))), 3'(2(1(2(1(3(3(3(3(2(2(2(2(2(1(z0))))))))))))))), 2'(1(2(1(3(3(3(3(2(2(2(2(2(1(z0)))))))))))))), 1'(2(1(3(3(3(3(2(2(2(2(2(1(z0))))))))))))), 2'(1(3(3(3(3(2(2(2(2(2(1(z0)))))))))))), 1'(3(3(3(3(2(2(2(2(2(1(z0))))))))))), 3'(3(3(3(2(2(2(2(2(1(z0)))))))))), 3'(3(3(2(2(2(2(2(1(z0))))))))), 3'(3(2(2(2(2(2(1(z0)))))))), 3'(2(2(2(2(2(1(z0))))))), 2'(2(2(2(2(1(z0)))))), 2'(2(2(2(1(z0))))), 2'(2(2(1(z0)))), 2'(2(1(z0))), 2'(1(z0)), 1'(z0))
   3'(c_1(c_3(c_2(c_1(c_1(c_3(c_1(c_2(c_2(c_1(c_3(c_2(c_3(c_1(c_0(c_3(c_1(z0)))))))))))))))))) -> c88(3'(1(3(3(1(2(0(1(1(2(2(1(3(3(2(3(1(1(z0)))))))))))))))))), 1'(3(3(1(2(0(1(1(2(2(1(3(3(2(3(1(1(z0))))))))))))))))), 3'(3(1(2(0(1(1(2(2(1(3(3(2(3(1(1(z0)))))))))))))))), 3'(1(2(0(1(1(2(2(1(3(3(2(3(1(1(z0))))))))))))))), 1'(2(0(1(1(2(2(1(3(3(2(3(1(1(z0)))))))))))))), 2'(0(1(1(2(2(1(3(3(2(3(1(1(z0))))))))))))), 0'(1(1(2(2(1(3(3(2(3(1(1(z0)))))))))))), 1'(1(2(2(1(3(3(2(3(1(1(z0))))))))))), 1'(2(2(1(3(3(2(3(1(1(z0)))))))))), 2'(2(1(3(3(2(3(1(1(z0))))))))), 2'(1(3(3(2(3(1(1(z0)))))))), 1'(3(3(2(3(1(1(z0))))))), 3'(3(2(3(1(1(z0)))))), 3'(2(3(1(1(z0))))), 2'(3(1(1(z0)))), 3'(1(1(z0))), 1'(1(z0)), 1'(z0))
   3'(c_2(c_1(c_3(c_1(c_2(c_2(c_2(c_3(c_3(c_0(c_2(c_1(c_3(c_0(c_2(c_0(c_2(z0)))))))))))))))))) -> c89(3'(3(3(2(3(2(2(0(2(2(1(0(3(2(1(2(1(0(z0)))))))))))))))))), 3'(3(2(3(2(2(0(2(2(1(0(3(2(1(2(1(0(z0))))))))))))))))), 3'(2(3(2(2(0(2(2(1(0(3(2(1(2(1(0(z0)))))))))))))))), 2'(3(2(2(0(2(2(1(0(3(2(1(2(1(0(z0))))))))))))))), 3'(2(2(0(2(2(1(0(3(2(1(2(1(0(z0)))))))))))))), 2'(2(0(2(2(1(0(3(2(1(2(1(0(z0))))))))))))), 2'(0(2(2(1(0(3(2(1(2(1(0(z0)))))))))))), 0'(2(2(1(0(3(2(1(2(1(0(z0))))))))))), 2'(2(1(0(3(2(1(2(1(0(z0)))))))))), 2'(1(0(3(2(1(2(1(0(z0))))))))), 1'(0(3(2(1(2(1(0(z0)))))))), 0'(3(2(1(2(1(0(z0))))))), 3'(2(1(2(1(0(z0)))))), 2'(1(2(1(0(z0))))), 1'(2(1(0(z0)))), 2'(1(0(z0))), 1'(0(z0)), 0'(z0))
   3'(c_1(c_0(c_0(c_3(c_0(c_0(c_0(c_0(c_1(c_2(c_0(c_2(c_0(c_2(c_0(c_0(c_1(z0)))))))))))))))))) -> c90(3'(0(0(0(0(0(2(0(0(0(0(3(0(2(1(1(2(1(z0)))))))))))))))))), 0'(0(0(0(0(2(0(0(0(0(3(0(2(1(1(2(1(z0))))))))))))))))), 0'(0(0(0(2(0(0(0(0(3(0(2(1(1(2(1(z0)))))))))))))))), 0'(0(0(2(0(0(0(0(3(0(2(1(1(2(1(z0))))))))))))))), 0'(0(2(0(0(0(0(3(0(2(1(1(2(1(z0)))))))))))))), 0'(2(0(0(0(0(3(0(2(1(1(2(1(z0))))))))))))), 2'(0(0(0(0(3(0(2(1(1(2(1(z0)))))))))))), 0'(0(0(0(3(0(2(1(1(2(1(z0))))))))))), 0'(0(0(3(0(2(1(1(2(1(z0)))))))))), 0'(0(3(0(2(1(1(2(1(z0))))))))), 0'(3(0(2(1(1(2(1(z0)))))))), 3'(0(2(1(1(2(1(z0))))))), 0'(2(1(1(2(1(z0)))))), 2'(1(1(2(1(z0))))), 1'(1(2(1(z0)))), 1'(2(1(z0))), 2'(1(z0)), 1'(z0))
   3'(c_3(c_0(c_3(c_1(c_0(c_0(c_2(c_2(c_2(c_0(c_0(c_0(c_2(c_2(c_1(c_3(c_2(z0)))))))))))))))))) -> c91(0'(3(2(0(3(3(1(2(1(2(2(0(3(0(0(0(2(2(z0)))))))))))))))))), 3'(2(0(3(3(1(2(1(2(2(0(3(0(0(0(2(2(z0))))))))))))))))), 2'(0(3(3(1(2(1(2(2(0(3(0(0(0(2(2(z0)))))))))))))))), 0'(3(3(1(2(1(2(2(0(3(0(0(0(2(2(z0))))))))))))))), 3'(3(1(2(1(2(2(0(3(0(0(0(2(2(z0)))))))))))))), 3'(1(2(1(2(2(0(3(0(0(0(2(2(z0))))))))))))), 1'(2(1(2(2(0(3(0(0(0(2(2(z0)))))))))))), 2'(1(2(2(0(3(0(0(0(2(2(z0))))))))))), 1'(2(2(0(3(0(0(0(2(2(z0)))))))))), 2'(2(0(3(0(0(0(2(2(z0))))))))), 2'(0(3(0(0(0(2(2(z0)))))))), 0'(3(0(0(0(2(2(z0))))))), 3'(0(0(0(2(2(z0)))))), 0'(0(0(2(2(z0))))), 0'(0(2(2(z0)))), 0'(2(2(z0))), 2'(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_1_1, ENCODE_3_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, c30_18, c31_18, c32_18, c33_18, c34_18, c35_18, c36_18, c37_18, c38_18, c39_18, c40_18, c41_18, c42_18, c44_18, c45_18, c46_18, c47_18, c48_18, c49_18, c50_18, c51_18, c52_18, c53_18, c54_18, c55_18, c56_18, c57_18, c58_18, c59_18, c60_18, c61_18, c62_18, c63_18, c64_18, c65_18, c67_18, c68_18, c69_18, c70_18, c71_18, c72_18, c73_18, c74_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


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

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

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

(52)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(cons_0(z0)) -> 0(encArg(z0))
   encArg(cons_1(z0)) -> 1(encArg(z0))
   encArg(cons_2(z0)) -> 2(encArg(z0))
   encArg(cons_3(z0)) -> 3(encArg(z0))
   0(z0) -> c_0(z0)
   0(c_0(c_2(c_0(c_3(c_3(c_2(c_3(c_1(c_3(c_1(c_0(c_2(c_1(c_3(c_0(c_2(c_0(z0)))))))))))))))))) -> 0(0(1(1(3(0(3(3(1(2(0(2(3(0(2(2(0(3(z0))))))))))))))))))
   0(c_0(c_2(c_0(c_3(c_0(c_2(c_2(c_3(c_0(c_2(c_0(c_0(c_2(c_3(c_0(c_0(c_2(z0)))))))))))))))))) -> 0(0(3(2(2(0(2(0(0(0(2(2(0(3(0(0(3(2(z0))))))))))))))))))
   0(c_0(c_0(c_1(c_3(c_3(c_2(c_2(c_3(c_0(c_0(c_1(c_3(c_2(c_2(c_3(c_3(c_2(z0)))))))))))))))))) -> 3(0(2(3(0(3(0(3(0(0(1(2(3(3(1(2(2(2(z0))))))))))))))))))
   0(c_0(c_0(c_2(c_2(c_3(c_0(c_0(c_1(c_0(c_0(c_0(c_1(c_0(c_3(c_1(c_2(c_2(z0)))))))))))))))))) -> 0(0(0(3(2(0(1(3(0(2(1(0(0(1(2(0(0(2(z0))))))))))))))))))
   0(c_1(c_0(c_2(c_2(c_1(c_2(c_1(c_3(c_1(c_1(c_2(c_0(c_1(c_2(c_0(c_1(c_0(z0)))))))))))))))))) -> 2(0(0(3(1(2(2(1(2(0(1(0(1(2(1(1(1(0(z0))))))))))))))))))
   0(c_2(c_1(c_0(c_2(c_0(c_3(c_0(c_1(c_0(c_2(c_0(c_2(c_0(c_1(c_2(c_0(c_3(z0)))))))))))))))))) -> 0(2(1(2(0(2(1(2(0(3(0(0(3(2(1(0(0(0(z0))))))))))))))))))
   0(c_1(c_2(c_3(c_3(c_3(c_1(c_3(c_3(c_3(c_2(c_3(c_1(c_2(c_0(c_1(c_3(c_1(z0)))))))))))))))))) -> 2(3(0(3(3(3(1(1(3(0(3(1(3(2(3(1(2(1(z0))))))))))))))))))
   0(c_1(c_1(c_1(c_3(c_0(c_1(c_3(c_1(c_2(c_0(c_2(c_1(c_2(c_2(c_0(c_3(c_0(z0)))))))))))))))))) -> 3(0(3(2(2(1(1(1(2(0(1(1(2(1(3(0(0(0(z0))))))))))))))))))
   0(c_1(c_3(c_2(c_3(c_1(c_1(c_3(c_2(c_2(c_0(c_0(c_1(c_3(c_2(c_3(c_3(c_3(z0)))))))))))))))))) -> 2(3(0(3(3(3(1(0(0(1(2(1(3(2(3(2(1(3(z0))))))))))))))))))
   0(c_1(c_0(c_0(c_2(c_2(c_2(c_3(c_2(c_1(c_3(c_2(c_3(c_3(c_1(c_0(c_1(c_0(z0)))))))))))))))))) -> 0(1(2(3(0(3(3(0(2(0(1(0(2(1(3(2(1(2(z0))))))))))))))))))
   0(c_3(c_2(c_3(c_1(c_0(c_0(c_1(c_0(c_0(c_1(c_2(c_3(c_2(c_1(c_1(c_0(c_1(z0)))))))))))))))))) -> 3(0(0(3(1(1(0(0(2(1(2(2(0(1(1(0(3(1(z0))))))))))))))))))
   0(c_2(c_0(c_1(c_0(c_0(c_0(c_1(c_0(c_3(c_0(c_2(c_3(c_3(c_3(c_3(c_0(c_3(z0)))))))))))))))))) -> 0(3(0(0(0(3(3(2(0(1(1(0(2(3(0(0(3(3(z0))))))))))))))))))
   0(c_2(c_0(c_1(c_3(c_1(c_0(c_0(c_3(c_2(c_0(c_2(c_2(c_3(c_0(c_1(c_0(c_0(z0)))))))))))))))))) -> 1(0(0(3(2(1(2(2(2(0(0(3(1(0(0(0(3(0(z0))))))))))))))))))
   0(c_1(c_2(c_2(c_3(c_1(c_3(c_3(c_1(c_3(c_2(c_2(c_3(c_3(c_0(c_2(c_0(c_2(z0)))))))))))))))))) -> 0(1(2(3(0(3(3(3(3(2(2(1(2(0(2(3(1(2(z0))))))))))))))))))
   0(c_3(c_1(c_1(c_2(c_2(c_0(c_0(c_0(c_1(c_3(c_2(c_3(c_3(c_3(c_3(c_3(c_3(z0)))))))))))))))))) -> 3(0(3(2(3(3(0(0(3(2(1(1(0(3(1(2(3(3(z0))))))))))))))))))
   0(c_3(c_1(c_2(c_1(c_0(c_2(c_1(c_3(c_0(c_3(c_2(c_3(c_2(c_3(c_0(c_1(c_2(z0)))))))))))))))))) -> 3(0(2(3(0(3(1(2(1(2(3(0(3(1(0(2(1(2(z0))))))))))))))))))
   0(c_1(c_2(c_3(c_0(c_2(c_1(c_1(c_3(c_3(c_3(c_2(c_3(c_1(c_3(c_1(c_3(c_1(z0)))))))))))))))))) -> 2(1(3(2(3(1(1(3(3(0(3(3(0(3(2(1(1(1(z0))))))))))))))))))
   0(c_0(c_2(c_0(c_1(c_1(c_3(c_0(c_2(c_3(c_2(c_2(c_0(c_2(c_3(c_3(c_1(c_2(z0)))))))))))))))))) -> 0(0(3(2(1(0(0(3(1(3(0(3(2(2(1(2(2(2(z0))))))))))))))))))
   0(c_3(c_3(c_2(c_3(c_1(c_3(c_2(c_0(c_0(c_2(c_1(c_3(c_1(c_3(c_2(c_3(c_3(z0)))))))))))))))))) -> 3(2(2(3(2(0(1(2(1(3(1(3(0(3(0(3(3(3(z0))))))))))))))))))
   0(c_0(c_1(c_3(c_1(c_0(c_0(c_1(c_3(c_3(c_0(c_0(c_1(c_2(c_2(c_1(c_1(c_1(z0)))))))))))))))))) -> 3(3(0(2(0(0(0(0(1(0(2(1(3(1(1(1(1(1(z0))))))))))))))))))
   1(z0) -> c_1(z0)
   1(c_2(c_3(c_0(c_1(c_0(c_3(c_1(c_2(c_3(c_1(c_1(c_1(c_1(c_3(c_2(c_3(c_0(z0)))))))))))))))))) -> 1(1(2(1(1(3(0(3(3(2(1(2(0(3(1(1(3(0(z0))))))))))))))))))
   1(c_3(c_1(c_3(c_1(c_1(c_1(c_2(c_1(c_3(c_0(c_1(c_2(c_1(c_3(c_1(c_1(c_0(z0)))))))))))))))))) -> 1(0(1(1(1(3(3(2(3(0(1(2(1(1(1(1(1(3(z0))))))))))))))))))
   1(c_1(c_0(c_3(c_1(c_2(c_0(c_0(c_1(c_3(c_2(c_1(c_2(c_0(c_3(c_0(c_2(c_2(z0)))))))))))))))))) -> 1(1(2(2(3(2(1(0(0(3(2(3(0(0(0(1(1(2(z0))))))))))))))))))
   1(c_2(c_2(c_0(c_3(c_1(c_3(c_0(c_0(c_1(c_3(c_3(c_0(c_3(c_2(c_3(c_1(c_2(z0)))))))))))))))))) -> 1(0(2(3(3(3(3(0(2(0(3(1(0(3(1(2(1(2(z0))))))))))))))))))
   1(c_1(c_0(c_0(c_0(c_2(c_0(c_1(c_0(c_1(c_1(c_0(c_3(c_2(c_1(c_0(c_0(c_2(z0)))))))))))))))))) -> 1(1(2(1(1(0(0(2(3(0(0(0(0(1(1(0(0(2(z0))))))))))))))))))
   1(c_3(c_1(c_3(c_2(c_0(c_0(c_0(c_1(c_3(c_1(c_0(c_2(c_2(c_2(c_1(c_0(c_2(z0)))))))))))))))))) -> 1(0(1(1(2(2(0(3(3(0(1(0(1(2(2(3(0(2(z0))))))))))))))))))
   1(c_0(c_0(c_0(c_3(c_0(c_2(c_1(c_3(c_3(c_1(c_2(c_2(c_3(c_1(c_3(c_2(c_1(z0)))))))))))))))))) -> 1(2(1(3(3(0(3(0(3(1(0(2(2(3(1(0(2(1(z0))))))))))))))))))
   1(c_3(c_3(c_1(c_3(c_1(c_3(c_0(c_1(c_0(c_2(c_3(c_1(c_1(c_1(c_3(c_0(c_3(z0)))))))))))))))))) -> 1(1(1(2(1(3(0(0(3(3(3(0(1(1(3(3(1(3(z0))))))))))))))))))
   1(c_2(c_2(c_2(c_2(c_0(c_3(c_3(c_2(c_1(c_3(c_0(c_2(c_1(c_3(c_2(c_0(c_3(z0)))))))))))))))))) -> 1(2(2(1(2(1(2(0(2(3(2(2(0(0(3(3(3(3(z0))))))))))))))))))
   1(c_3(c_0(c_2(c_0(c_3(c_2(c_2(c_1(c_3(c_2(c_3(c_2(c_2(c_2(c_1(c_3(c_2(z0)))))))))))))))))) -> 1(3(2(1(2(2(3(3(3(2(1(3(2(0(0(2(2(2(z0))))))))))))))))))
   1(c_3(c_2(c_2(c_0(c_3(c_1(c_1(c_3(c_1(c_3(c_0(c_2(c_1(c_2(c_2(c_0(c_3(z0)))))))))))))))))) -> 1(1(2(1(0(1(2(3(3(0(3(0(3(2(2(1(2(3(z0))))))))))))))))))
   1(c_0(c_2(c_1(c_2(c_3(c_3(c_0(c_1(c_0(c_2(c_3(c_0(c_1(c_1(c_3(c_3(c_1(z0)))))))))))))))))) -> 1(2(1(1(1(3(0(3(0(3(1(0(3(2(2(0(3(1(z0))))))))))))))))))
   1(c_0(c_2(c_0(c_0(c_0(c_1(c_2(c_3(c_0(c_1(c_2(c_2(c_2(c_1(c_2(c_2(c_0(z0)))))))))))))))))) -> 1(2(2(0(0(1(1(0(0(2(2(2(2(1(2(0(0(3(z0))))))))))))))))))
   2(z0) -> c_2(z0)
   2(c_2(c_2(c_3(c_0(c_1(c_3(c_2(c_1(c_3(c_3(c_2(c_1(c_2(c_2(c_1(c_2(c_3(z0)))))))))))))))))) -> 2(2(2(1(1(2(3(2(3(2(2(0(3(1(2(1(3(3(z0))))))))))))))))))
   2(c_2(c_1(c_3(c_1(c_3(c_0(c_0(c_2(c_1(c_2(c_2(c_2(c_1(c_1(c_1(c_0(c_1(z0)))))))))))))))))) -> 0(2(2(3(3(1(1(2(0(2(1(1(2(1(0(1(2(1(z0))))))))))))))))))
   2(c_0(c_0(c_1(c_3(c_1(c_3(c_2(c_1(c_0(c_0(c_2(c_2(c_2(c_0(c_2(c_0(c_3(z0)))))))))))))))))) -> 0(2(2(2(0(2(1(0(0(3(0(0(1(2(2(1(3(3(z0))))))))))))))))))
   2(c_3(c_2(c_3(c_1(c_2(c_0(c_1(c_3(c_0(c_1(c_3(c_2(c_1(c_0(c_2(c_3(c_3(z0)))))))))))))))))) -> 0(3(1(0(2(2(1(2(2(1(3(3(3(1(0(2(3(3(z0))))))))))))))))))
   2(c_1(c_2(c_2(c_2(c_2(c_2(c_0(c_1(c_3(c_2(c_0(c_0(c_1(c_2(c_3(c_1(c_2(z0)))))))))))))))))) -> 2(1(2(2(1(0(0(3(3(0(1(2(2(2(2(2(1(2(z0))))))))))))))))))
   2(c_2(c_3(c_2(c_2(c_3(c_1(c_0(c_2(c_3(c_1(c_1(c_1(c_0(c_0(c_1(c_0(c_2(z0)))))))))))))))))) -> 0(2(1(1(2(2(0(3(3(0(1(1(2(2(1(0(3(2(z0))))))))))))))))))
   2(c_3(c_3(c_2(c_1(c_0(c_3(c_0(c_0(c_0(c_3(c_3(c_1(c_3(c_0(c_0(c_0(c_3(z0)))))))))))))))))) -> 2(1(0(3(0(3(0(3(3(3(0(0(0(0(2(1(3(3(z0))))))))))))))))))
   2(c_1(c_0(c_3(c_1(c_3(c_1(c_2(c_2(c_2(c_2(c_1(c_2(c_3(c_1(c_3(c_0(c_2(z0)))))))))))))))))) -> 2(3(3(2(1(2(0(3(1(2(2(1(0(3(2(2(1(1(z0))))))))))))))))))
   2(c_2(c_3(c_1(c_1(c_1(c_3(c_1(c_2(c_0(c_1(c_2(c_2(c_0(c_1(c_2(c_2(c_2(z0)))))))))))))))))) -> 2(2(1(2(1(3(1(1(2(3(2(2(0(1(2(0(1(2(z0))))))))))))))))))
   2(c_2(c_2(c_2(c_3(c_2(c_0(c_1(c_3(c_1(c_2(c_2(c_2(c_1(c_3(c_2(c_3(c_3(z0)))))))))))))))))) -> 2(3(1(2(2(1(2(2(1(0(2(2(2(2(3(3(3(3(z0))))))))))))))))))
   2(c_0(c_2(c_2(c_3(c_1(c_0(c_3(c_2(c_3(c_0(c_3(c_2(c_0(c_0(c_2(c_0(c_2(z0)))))))))))))))))) -> 2(0(0(2(3(0(3(3(0(3(2(0(1(2(2(2(0(2(z0))))))))))))))))))
   2(c_1(c_3(c_0(c_0(c_2(c_2(c_1(c_1(c_3(c_1(c_3(c_1(c_0(c_0(c_2(c_1(c_2(z0)))))))))))))))))) -> 0(1(2(1(0(1(2(1(0(0(1(1(2(3(3(3(2(2(z0))))))))))))))))))
   2(c_0(c_3(c_0(c_0(c_1(c_3(c_1(c_2(c_0(c_2(c_1(c_3(c_0(c_2(c_2(c_0(c_0(z0)))))))))))))))))) -> 0(0(3(0(3(2(1(2(1(2(2(1(2(0(0(0(3(0(z0))))))))))))))))))
   2(c_0(c_2(c_0(c_3(c_0(c_0(c_2(c_2(c_1(c_1(c_0(c_3(c_1(c_0(c_3(c_1(c_1(z0)))))))))))))))))) -> 2(0(0(3(3(2(2(1(0(1(0(1(0(3(2(1(0(1(z0))))))))))))))))))
   2(c_2(c_0(c_0(c_3(c_0(c_1(c_3(c_1(c_0(c_2(c_2(c_2(c_3(c_0(c_1(c_2(c_0(z0)))))))))))))))))) -> 0(2(0(3(2(3(2(1(0(2(0(2(1(0(1(0(2(3(z0))))))))))))))))))
   2(c_0(c_0(c_0(c_1(c_1(c_3(c_1(c_1(c_1(c_2(c_2(c_2(c_2(c_2(c_0(c_1(c_3(z0)))))))))))))))))) -> 2(0(1(2(0(0(3(2(2(1(1(1(1(2(2(1(3(0(z0))))))))))))))))))
   2(c_0(c_3(c_1(c_0(c_3(c_2(c_1(c_0(c_2(c_3(c_1(c_0(c_2(c_2(c_1(c_1(c_1(z0)))))))))))))))))) -> 2(1(2(2(2(0(1(1(0(0(3(3(1(3(0(2(1(1(z0))))))))))))))))))
   2(c_1(c_2(c_1(c_3(c_0(c_2(c_2(c_3(c_2(c_3(c_1(c_1(c_1(c_3(c_3(c_0(c_2(z0)))))))))))))))))) -> 2(1(2(1(3(2(1(2(3(2(3(3(0(0(3(1(2(1(z0))))))))))))))))))
   2(c_2(c_1(c_3(c_3(c_0(c_0(c_2(c_1(c_3(c_0(c_1(c_2(c_2(c_2(c_2(c_3(c_3(z0)))))))))))))))))) -> 2(0(2(2(0(2(1(0(3(2(2(1(1(3(2(3(3(3(z0))))))))))))))))))
   2(c_1(c_2(c_3(c_1(c_3(c_2(c_0(c_2(c_2(c_3(c_3(c_3(c_2(c_3(c_1(c_3(c_3(z0)))))))))))))))))) -> 2(3(3(2(2(1(3(2(3(2(1(0(3(3(1(2(3(3(z0))))))))))))))))))
   2(c_0(c_1(c_0(c_1(c_2(c_2(c_2(c_2(c_3(c_3(c_1(c_1(c_1(c_1(c_2(c_1(c_2(z0)))))))))))))))))) -> 0(2(2(1(1(1(2(1(0(3(3(2(2(1(1(2(1(2(z0))))))))))))))))))
   2(c_3(c_0(c_1(c_3(c_1(c_3(c_3(c_0(c_3(c_0(c_2(c_0(c_3(c_1(c_3(c_2(c_3(z0)))))))))))))))))) -> 0(2(0(3(3(3(2(1(3(0(3(3(3(3(1(1(2(0(z0))))))))))))))))))
   3(z0) -> c_3(z0)
   3(c_0(c_0(c_3(c_1(c_3(c_0(c_2(c_0(c_2(c_0(c_0(c_1(c_0(c_3(c_2(c_3(c_2(z0)))))))))))))))))) -> 0(0(3(2(3(3(0(0(0(3(2(0(1(2(3(1(0(2(z0))))))))))))))))))
   3(c_3(c_0(c_2(c_3(c_0(c_1(c_3(c_3(c_3(c_1(c_2(c_1(c_3(c_2(c_2(c_0(c_3(z0)))))))))))))))))) -> 2(3(1(1(0(1(2(0(3(3(3(2(3(2(3(3(0(3(z0))))))))))))))))))
   3(c_3(c_3(c_2(c_3(c_0(c_2(c_2(c_3(c_1(c_2(c_3(c_0(c_3(c_3(c_2(c_2(c_2(z0)))))))))))))))))) -> 3(0(3(2(2(2(0(3(3(3(2(2(3(2(1(3(3(2(z0))))))))))))))))))
   3(c_1(c_1(c_1(c_3(c_1(c_3(c_3(c_3(c_2(c_3(c_0(c_0(c_2(c_3(c_1(c_3(c_1(z0)))))))))))))))))) -> 3(3(1(2(2(3(0(1(0(3(3(3(1(1(1(3(3(1(z0))))))))))))))))))
   3(c_3(c_2(c_0(c_0(c_1(c_0(c_2(c_3(c_3(c_0(c_3(c_1(c_3(c_3(c_1(c_3(c_3(z0)))))))))))))))))) -> 0(0(3(3(1(1(0(2(2(3(1(3(3(0(3(3(3(3(z0))))))))))))))))))
   3(c_1(c_3(c_2(c_1(c_3(c_1(c_0(c_3(c_2(c_0(c_2(c_0(c_3(c_0(c_2(c_3(c_3(z0)))))))))))))))))) -> 2(2(0(1(2(1(0(3(3(3(0(3(2(1(3(3(3(0(z0))))))))))))))))))
   3(c_1(c_3(c_1(c_1(c_1(c_1(c_3(c_2(c_0(c_0(c_2(c_2(c_2(c_1(c_3(c_3(c_1(z0)))))))))))))))))) -> 3(1(0(3(1(1(0(2(2(2(3(1(2(1(1(3(3(1(z0))))))))))))))))))
   3(c_0(c_0(c_2(c_2(c_2(c_1(c_3(c_1(c_3(c_3(c_3(c_2(c_0(c_2(c_3(c_3(c_3(z0)))))))))))))))))) -> 2(1(2(1(2(3(3(0(2(3(0(3(3(3(2(0(3(3(z0))))))))))))))))))
   3(c_3(c_3(c_1(c_3(c_1(c_3(c_0(c_3(c_3(c_2(c_0(c_1(c_3(c_0(c_1(c_2(c_3(z0)))))))))))))))))) -> 3(3(3(1(1(3(1(3(3(3(2(3(0(3(1(2(0(0(z0))))))))))))))))))
   3(c_0(c_0(c_0(c_2(c_0(c_3(c_2(c_0(c_2(c_2(c_2(c_0(c_0(c_1(c_3(c_0(c_2(z0)))))))))))))))))) -> 0(0(2(1(2(3(0(3(2(0(2(0(0(3(0(2(0(2(z0))))))))))))))))))
   3(c_2(c_3(c_0(c_2(c_2(c_2(c_2(c_0(c_0(c_0(c_1(c_1(c_1(c_3(c_0(c_2(c_3(z0)))))))))))))))))) -> 3(0(2(3(2(0(3(1(2(0(2(1(0(3(2(1(2(0(z0))))))))))))))))))
   3(c_2(c_0(c_0(c_0(c_2(c_3(c_3(c_1(c_1(c_0(c_1(c_3(c_2(c_3(c_3(c_0(c_0(z0)))))))))))))))))) -> 3(0(2(1(2(3(3(0(3(1(0(1(2(3(3(0(0(0(z0))))))))))))))))))
   3(c_0(c_3(c_2(c_2(c_0(c_2(c_0(c_0(c_0(c_1(c_3(c_2(c_3(c_3(c_0(c_3(c_0(z0)))))))))))))))))) -> 3(0(2(0(1(2(2(0(3(0(2(0(3(0(3(3(3(0(z0))))))))))))))))))
   3(c_0(c_2(c_2(c_0(c_1(c_2(c_0(c_0(c_2(c_0(c_2(c_2(c_2(c_3(c_1(c_0(c_2(z0)))))))))))))))))) -> 0(2(1(2(2(3(0(0(3(2(2(1(2(0(2(0(0(2(z0))))))))))))))))))
   3(c_3(c_2(c_1(c_3(c_2(c_0(c_2(c_0(c_0(c_3(c_1(c_3(c_0(c_2(c_0(c_2(c_2(z0)))))))))))))))))) -> 2(0(1(3(2(2(2(1(2(3(3(0(3(0(0(0(3(2(z0))))))))))))))))))
   3(c_0(c_2(c_2(c_3(c_2(c_2(c_3(c_2(c_2(c_3(c_3(c_2(c_0(c_1(c_3(c_2(c_3(z0)))))))))))))))))) -> 0(3(3(2(1(3(3(2(2(3(2(2(2(0(3(2(2(3(z0))))))))))))))))))
   3(c_0(c_1(c_2(c_1(c_0(c_2(c_1(c_1(c_3(c_0(c_1(c_2(c_3(c_1(c_1(c_1(c_1(z0)))))))))))))))))) -> 3(3(1(1(1(0(1(2(1(1(1(2(2(3(0(1(0(1(z0))))))))))))))))))
   3(c_3(c_2(c_1(c_3(c_0(c_0(c_1(c_3(c_2(c_0(c_0(c_2(c_3(c_3(c_0(c_0(c_2(z0)))))))))))))))))) -> 3(0(0(3(0(3(0(1(2(0(3(1(3(0(3(2(2(2(z0))))))))))))))))))
   3(c_3(c_0(c_2(c_0(c_2(c_0(c_1(c_2(c_0(c_2(c_3(c_0(c_2(c_2(c_0(c_3(c_3(z0)))))))))))))))))) -> 3(2(0(3(2(0(0(0(3(0(3(2(2(2(1(2(0(3(z0))))))))))))))))))
   3(c_2(c_2(c_1(c_2(c_2(c_3(c_1(c_1(c_2(c_0(c_1(c_3(c_1(c_2(c_2(c_1(c_1(z0)))))))))))))))))) -> 3(1(1(1(2(2(1(3(2(3(2(2(1(1(2(0(2(1(z0))))))))))))))))))
   3(c_2(c_2(c_2(c_3(c_2(c_3(c_0(c_1(c_3(c_2(c_1(c_3(c_2(c_3(c_0(c_2(c_1(z0)))))))))))))))))) -> 0(0(3(3(2(1(2(1(3(3(3(3(2(2(2(2(2(1(z0))))))))))))))))))
   3(c_1(c_3(c_2(c_1(c_1(c_3(c_1(c_2(c_2(c_1(c_3(c_2(c_3(c_1(c_0(c_3(c_1(z0)))))))))))))))))) -> 3(1(3(3(1(2(0(1(1(2(2(1(3(3(2(3(1(1(z0))))))))))))))))))
   3(c_2(c_1(c_3(c_1(c_2(c_2(c_2(c_3(c_3(c_0(c_2(c_1(c_3(c_0(c_2(c_0(c_2(z0)))))))))))))))))) -> 3(3(3(2(3(2(2(0(2(2(1(0(3(2(1(2(1(0(z0))))))))))))))))))
   3(c_1(c_0(c_0(c_3(c_0(c_0(c_0(c_0(c_1(c_2(c_0(c_2(c_0(c_2(c_0(c_0(c_1(z0)))))))))))))))))) -> 3(0(0(0(0(0(2(0(0(0(0(3(0(2(1(1(2(1(z0))))))))))))))))))
   3(c_3(c_0(c_3(c_1(c_0(c_0(c_2(c_2(c_2(c_0(c_0(c_0(c_2(c_2(c_1(c_3(c_2(z0)))))))))))))))))) -> 0(3(2(0(3(3(1(2(1(2(2(0(3(0(0(0(2(2(z0))))))))))))))))))
Tuples:
   ENCARG(cons_3(z0)) -> c3(3'(encArg(z0)), ENCARG(z0))
   0'(c_0(c_2(c_0(c_3(c_3(c_2(c_3(c_1(c_3(c_1(c_0(c_2(c_1(c_3(c_0(c_2(c_0(z0)))))))))))))))))) -> c9(0'(0(1(1(3(0(3(3(1(2(0(2(3(0(2(2(0(3(z0)))))))))))))))))), 0'(1(1(3(0(3(3(1(2(0(2(3(0(2(2(0(3(z0))))))))))))))))), 1'(1(3(0(3(3(1(2(0(2(3(0(2(2(0(3(z0)))))))))))))))), 1'(3(0(3(3(1(2(0(2(3(0(2(2(0(3(z0))))))))))))))), 3'(0(3(3(1(2(0(2(3(0(2(2(0(3(z0)))))))))))))), 0'(3(3(1(2(0(2(3(0(2(2(0(3(z0))))))))))))), 3'(3(1(2(0(2(3(0(2(2(0(3(z0)))))))))))), 3'(1(2(0(2(3(0(2(2(0(3(z0))))))))))), 1'(2(0(2(3(0(2(2(0(3(z0)))))))))), 2'(0(2(3(0(2(2(0(3(z0))))))))), 0'(2(3(0(2(2(0(3(z0)))))))), 2'(3(0(2(2(0(3(z0))))))), 3'(0(2(2(0(3(z0)))))), 0'(2(2(0(3(z0))))), 2'(2(0(3(z0)))), 2'(0(3(z0))), 0'(3(z0)), 3'(z0))
   0'(c_0(c_2(c_0(c_3(c_0(c_2(c_2(c_3(c_0(c_2(c_0(c_0(c_2(c_3(c_0(c_0(c_2(z0)))))))))))))))))) -> c10(0'(0(3(2(2(0(2(0(0(0(2(2(0(3(0(0(3(2(z0)))))))))))))))))), 0'(3(2(2(0(2(0(0(0(2(2(0(3(0(0(3(2(z0))))))))))))))))), 3'(2(2(0(2(0(0(0(2(2(0(3(0(0(3(2(z0)))))))))))))))), 2'(2(0(2(0(0(0(2(2(0(3(0(0(3(2(z0))))))))))))))), 2'(0(2(0(0(0(2(2(0(3(0(0(3(2(z0)))))))))))))), 0'(2(0(0(0(2(2(0(3(0(0(3(2(z0))))))))))))), 2'(0(0(0(2(2(0(3(0(0(3(2(z0)))))))))))), 0'(0(0(2(2(0(3(0(0(3(2(z0))))))))))), 0'(0(2(2(0(3(0(0(3(2(z0)))))))))), 0'(2(2(0(3(0(0(3(2(z0))))))))), 2'(2(0(3(0(0(3(2(z0)))))))), 2'(0(3(0(0(3(2(z0))))))), 0'(3(0(0(3(2(z0)))))), 3'(0(0(3(2(z0))))), 0'(0(3(2(z0)))), 0'(3(2(z0))), 3'(2(z0)), 2'(z0))
   0'(c_0(c_0(c_1(c_3(c_3(c_2(c_2(c_3(c_0(c_0(c_1(c_3(c_2(c_2(c_3(c_3(c_2(z0)))))))))))))))))) -> c11(3'(0(2(3(0(3(0(3(0(0(1(2(3(3(1(2(2(2(z0)))))))))))))))))), 0'(2(3(0(3(0(3(0(0(1(2(3(3(1(2(2(2(z0))))))))))))))))), 2'(3(0(3(0(3(0(0(1(2(3(3(1(2(2(2(z0)))))))))))))))), 3'(0(3(0(3(0(0(1(2(3(3(1(2(2(2(z0))))))))))))))), 0'(3(0(3(0(0(1(2(3(3(1(2(2(2(z0)))))))))))))), 3'(0(3(0(0(1(2(3(3(1(2(2(2(z0))))))))))))), 0'(3(0(0(1(2(3(3(1(2(2(2(z0)))))))))))), 3'(0(0(1(2(3(3(1(2(2(2(z0))))))))))), 0'(0(1(2(3(3(1(2(2(2(z0)))))))))), 0'(1(2(3(3(1(2(2(2(z0))))))))), 1'(2(3(3(1(2(2(2(z0)))))))), 2'(3(3(1(2(2(2(z0))))))), 3'(3(1(2(2(2(z0)))))), 3'(1(2(2(2(z0))))), 1'(2(2(2(z0)))), 2'(2(2(z0))), 2'(2(z0)), 2'(z0))
   0'(c_0(c_0(c_2(c_2(c_3(c_0(c_0(c_1(c_0(c_0(c_0(c_1(c_0(c_3(c_1(c_2(c_2(z0)))))))))))))))))) -> c12(0'(0(0(3(2(0(1(3(0(2(1(0(0(1(2(0(0(2(z0)))))))))))))))))), 0'(0(3(2(0(1(3(0(2(1(0(0(1(2(0(0(2(z0))))))))))))))))), 0'(3(2(0(1(3(0(2(1(0(0(1(2(0(0(2(z0)))))))))))))))), 3'(2(0(1(3(0(2(1(0(0(1(2(0(0(2(z0))))))))))))))), 2'(0(1(3(0(2(1(0(0(1(2(0(0(2(z0)))))))))))))), 0'(1(3(0(2(1(0(0(1(2(0(0(2(z0))))))))))))), 1'(3(0(2(1(0(0(1(2(0(0(2(z0)))))))))))), 3'(0(2(1(0(0(1(2(0(0(2(z0))))))))))), 0'(2(1(0(0(1(2(0(0(2(z0)))))))))), 2'(1(0(0(1(2(0(0(2(z0))))))))), 1'(0(0(1(2(0(0(2(z0)))))))), 0'(0(1(2(0(0(2(z0))))))), 0'(1(2(0(0(2(z0)))))), 1'(2(0(0(2(z0))))), 2'(0(0(2(z0)))), 0'(0(2(z0))), 0'(2(z0)), 2'(z0))
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   3'(c_0(c_2(c_2(c_0(c_1(c_2(c_0(c_0(c_2(c_0(c_2(c_2(c_2(c_3(c_1(c_0(c_2(z0)))))))))))))))))) -> c80(0'(2(1(2(2(3(0(0(3(2(2(1(2(0(2(0(0(2(z0)))))))))))))))))), 2'(1(2(2(3(0(0(3(2(2(1(2(0(2(0(0(2(z0))))))))))))))))), 1'(2(2(3(0(0(3(2(2(1(2(0(2(0(0(2(z0)))))))))))))))), 2'(2(3(0(0(3(2(2(1(2(0(2(0(0(2(z0))))))))))))))), 2'(3(0(0(3(2(2(1(2(0(2(0(0(2(z0)))))))))))))), 3'(0(0(3(2(2(1(2(0(2(0(0(2(z0))))))))))))), 0'(0(3(2(2(1(2(0(2(0(0(2(z0)))))))))))), 0'(3(2(2(1(2(0(2(0(0(2(z0))))))))))), 3'(2(2(1(2(0(2(0(0(2(z0)))))))))), 2'(2(1(2(0(2(0(0(2(z0))))))))), 2'(1(2(0(2(0(0(2(z0)))))))), 1'(2(0(2(0(0(2(z0))))))), 2'(0(2(0(0(2(z0)))))), 0'(2(0(0(2(z0))))), 2'(0(0(2(z0)))), 0'(0(2(z0))), 0'(2(z0)), 2'(z0))
   3'(c_3(c_2(c_1(c_3(c_2(c_0(c_2(c_0(c_0(c_3(c_1(c_3(c_0(c_2(c_0(c_2(c_2(z0)))))))))))))))))) -> c81(2'(0(1(3(2(2(2(1(2(3(3(0(3(0(0(0(3(2(z0)))))))))))))))))), 0'(1(3(2(2(2(1(2(3(3(0(3(0(0(0(3(2(z0))))))))))))))))), 1'(3(2(2(2(1(2(3(3(0(3(0(0(0(3(2(z0)))))))))))))))), 3'(2(2(2(1(2(3(3(0(3(0(0(0(3(2(z0))))))))))))))), 2'(2(2(1(2(3(3(0(3(0(0(0(3(2(z0)))))))))))))), 2'(2(1(2(3(3(0(3(0(0(0(3(2(z0))))))))))))), 2'(1(2(3(3(0(3(0(0(0(3(2(z0)))))))))))), 1'(2(3(3(0(3(0(0(0(3(2(z0))))))))))), 2'(3(3(0(3(0(0(0(3(2(z0)))))))))), 3'(3(0(3(0(0(0(3(2(z0))))))))), 3'(0(3(0(0(0(3(2(z0)))))))), 0'(3(0(0(0(3(2(z0))))))), 3'(0(0(0(3(2(z0)))))), 0'(0(0(3(2(z0))))), 0'(0(3(2(z0)))), 0'(3(2(z0))), 3'(2(z0)), 2'(z0))
   3'(c_0(c_2(c_2(c_3(c_2(c_2(c_3(c_2(c_2(c_3(c_3(c_2(c_0(c_1(c_3(c_2(c_3(z0)))))))))))))))))) -> c82(0'(3(3(2(1(3(3(2(2(3(2(2(2(0(3(2(2(3(z0)))))))))))))))))), 3'(3(2(1(3(3(2(2(3(2(2(2(0(3(2(2(3(z0))))))))))))))))), 3'(2(1(3(3(2(2(3(2(2(2(0(3(2(2(3(z0)))))))))))))))), 2'(1(3(3(2(2(3(2(2(2(0(3(2(2(3(z0))))))))))))))), 1'(3(3(2(2(3(2(2(2(0(3(2(2(3(z0)))))))))))))), 3'(3(2(2(3(2(2(2(0(3(2(2(3(z0))))))))))))), 3'(2(2(3(2(2(2(0(3(2(2(3(z0)))))))))))), 2'(2(3(2(2(2(0(3(2(2(3(z0))))))))))), 2'(3(2(2(2(0(3(2(2(3(z0)))))))))), 3'(2(2(2(0(3(2(2(3(z0))))))))), 2'(2(2(0(3(2(2(3(z0)))))))), 2'(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))
   3'(c_0(c_1(c_2(c_1(c_0(c_2(c_1(c_1(c_3(c_0(c_1(c_2(c_3(c_1(c_1(c_1(c_1(z0)))))))))))))))))) -> c83(3'(3(1(1(1(0(1(2(1(1(1(2(2(3(0(1(0(1(z0)))))))))))))))))), 3'(1(1(1(0(1(2(1(1(1(2(2(3(0(1(0(1(z0))))))))))))))))), 1'(1(1(0(1(2(1(1(1(2(2(3(0(1(0(1(z0)))))))))))))))), 1'(1(0(1(2(1(1(1(2(2(3(0(1(0(1(z0))))))))))))))), 1'(0(1(2(1(1(1(2(2(3(0(1(0(1(z0)))))))))))))), 0'(1(2(1(1(1(2(2(3(0(1(0(1(z0))))))))))))), 1'(2(1(1(1(2(2(3(0(1(0(1(z0)))))))))))), 2'(1(1(1(2(2(3(0(1(0(1(z0))))))))))), 1'(1(1(2(2(3(0(1(0(1(z0)))))))))), 1'(1(2(2(3(0(1(0(1(z0))))))))), 1'(2(2(3(0(1(0(1(z0)))))))), 2'(2(3(0(1(0(1(z0))))))), 2'(3(0(1(0(1(z0)))))), 3'(0(1(0(1(z0))))), 0'(1(0(1(z0)))), 1'(0(1(z0))), 0'(1(z0)), 1'(z0))
   3'(c_3(c_2(c_1(c_3(c_0(c_0(c_1(c_3(c_2(c_0(c_0(c_2(c_3(c_3(c_0(c_0(c_2(z0)))))))))))))))))) -> c84(3'(0(0(3(0(3(0(1(2(0(3(1(3(0(3(2(2(2(z0)))))))))))))))))), 0'(0(3(0(3(0(1(2(0(3(1(3(0(3(2(2(2(z0))))))))))))))))), 0'(3(0(3(0(1(2(0(3(1(3(0(3(2(2(2(z0)))))))))))))))), 3'(0(3(0(1(2(0(3(1(3(0(3(2(2(2(z0))))))))))))))), 0'(3(0(1(2(0(3(1(3(0(3(2(2(2(z0)))))))))))))), 3'(0(1(2(0(3(1(3(0(3(2(2(2(z0))))))))))))), 0'(1(2(0(3(1(3(0(3(2(2(2(z0)))))))))))), 1'(2(0(3(1(3(0(3(2(2(2(z0))))))))))), 2'(0(3(1(3(0(3(2(2(2(z0)))))))))), 0'(3(1(3(0(3(2(2(2(z0))))))))), 3'(1(3(0(3(2(2(2(z0)))))))), 1'(3(0(3(2(2(2(z0))))))), 3'(0(3(2(2(2(z0)))))), 0'(3(2(2(2(z0))))), 3'(2(2(2(z0)))), 2'(2(2(z0))), 2'(2(z0)), 2'(z0))
   3'(c_3(c_0(c_2(c_0(c_2(c_0(c_1(c_2(c_0(c_2(c_3(c_0(c_2(c_2(c_0(c_3(c_3(z0)))))))))))))))))) -> c85(3'(2(0(3(2(0(0(0(3(0(3(2(2(2(1(2(0(3(z0)))))))))))))))))), 2'(0(3(2(0(0(0(3(0(3(2(2(2(1(2(0(3(z0))))))))))))))))), 0'(3(2(0(0(0(3(0(3(2(2(2(1(2(0(3(z0)))))))))))))))), 3'(2(0(0(0(3(0(3(2(2(2(1(2(0(3(z0))))))))))))))), 2'(0(0(0(3(0(3(2(2(2(1(2(0(3(z0)))))))))))))), 0'(0(0(3(0(3(2(2(2(1(2(0(3(z0))))))))))))), 0'(0(3(0(3(2(2(2(1(2(0(3(z0)))))))))))), 0'(3(0(3(2(2(2(1(2(0(3(z0))))))))))), 3'(0(3(2(2(2(1(2(0(3(z0)))))))))), 0'(3(2(2(2(1(2(0(3(z0))))))))), 3'(2(2(2(1(2(0(3(z0)))))))), 2'(2(2(1(2(0(3(z0))))))), 2'(2(1(2(0(3(z0)))))), 2'(1(2(0(3(z0))))), 1'(2(0(3(z0)))), 2'(0(3(z0))), 0'(3(z0)), 3'(z0))
   3'(c_2(c_2(c_1(c_2(c_2(c_3(c_1(c_1(c_2(c_0(c_1(c_3(c_1(c_2(c_2(c_1(c_1(z0)))))))))))))))))) -> c86(3'(1(1(1(2(2(1(3(2(3(2(2(1(1(2(0(2(1(z0)))))))))))))))))), 1'(1(1(2(2(1(3(2(3(2(2(1(1(2(0(2(1(z0))))))))))))))))), 1'(1(2(2(1(3(2(3(2(2(1(1(2(0(2(1(z0)))))))))))))))), 1'(2(2(1(3(2(3(2(2(1(1(2(0(2(1(z0))))))))))))))), 2'(2(1(3(2(3(2(2(1(1(2(0(2(1(z0)))))))))))))), 2'(1(3(2(3(2(2(1(1(2(0(2(1(z0))))))))))))), 1'(3(2(3(2(2(1(1(2(0(2(1(z0)))))))))))), 3'(2(3(2(2(1(1(2(0(2(1(z0))))))))))), 2'(3(2(2(1(1(2(0(2(1(z0)))))))))), 3'(2(2(1(1(2(0(2(1(z0))))))))), 2'(2(1(1(2(0(2(1(z0)))))))), 2'(1(1(2(0(2(1(z0))))))), 1'(1(2(0(2(1(z0)))))), 1'(2(0(2(1(z0))))), 2'(0(2(1(z0)))), 0'(2(1(z0))), 2'(1(z0)), 1'(z0))
   3'(c_2(c_2(c_2(c_3(c_2(c_3(c_0(c_1(c_3(c_2(c_1(c_3(c_2(c_3(c_0(c_2(c_1(z0)))))))))))))))))) -> c87(0'(0(3(3(2(1(2(1(3(3(3(3(2(2(2(2(2(1(z0)))))))))))))))))), 0'(3(3(2(1(2(1(3(3(3(3(2(2(2(2(2(1(z0))))))))))))))))), 3'(3(2(1(2(1(3(3(3(3(2(2(2(2(2(1(z0)))))))))))))))), 3'(2(1(2(1(3(3(3(3(2(2(2(2(2(1(z0))))))))))))))), 2'(1(2(1(3(3(3(3(2(2(2(2(2(1(z0)))))))))))))), 1'(2(1(3(3(3(3(2(2(2(2(2(1(z0))))))))))))), 2'(1(3(3(3(3(2(2(2(2(2(1(z0)))))))))))), 1'(3(3(3(3(2(2(2(2(2(1(z0))))))))))), 3'(3(3(3(2(2(2(2(2(1(z0)))))))))), 3'(3(3(2(2(2(2(2(1(z0))))))))), 3'(3(2(2(2(2(2(1(z0)))))))), 3'(2(2(2(2(2(1(z0))))))), 2'(2(2(2(2(1(z0)))))), 2'(2(2(2(1(z0))))), 2'(2(2(1(z0)))), 2'(2(1(z0))), 2'(1(z0)), 1'(z0))
   3'(c_1(c_3(c_2(c_1(c_1(c_3(c_1(c_2(c_2(c_1(c_3(c_2(c_3(c_1(c_0(c_3(c_1(z0)))))))))))))))))) -> c88(3'(1(3(3(1(2(0(1(1(2(2(1(3(3(2(3(1(1(z0)))))))))))))))))), 1'(3(3(1(2(0(1(1(2(2(1(3(3(2(3(1(1(z0))))))))))))))))), 3'(3(1(2(0(1(1(2(2(1(3(3(2(3(1(1(z0)))))))))))))))), 3'(1(2(0(1(1(2(2(1(3(3(2(3(1(1(z0))))))))))))))), 1'(2(0(1(1(2(2(1(3(3(2(3(1(1(z0)))))))))))))), 2'(0(1(1(2(2(1(3(3(2(3(1(1(z0))))))))))))), 0'(1(1(2(2(1(3(3(2(3(1(1(z0)))))))))))), 1'(1(2(2(1(3(3(2(3(1(1(z0))))))))))), 1'(2(2(1(3(3(2(3(1(1(z0)))))))))), 2'(2(1(3(3(2(3(1(1(z0))))))))), 2'(1(3(3(2(3(1(1(z0)))))))), 1'(3(3(2(3(1(1(z0))))))), 3'(3(2(3(1(1(z0)))))), 3'(2(3(1(1(z0))))), 2'(3(1(1(z0)))), 3'(1(1(z0))), 1'(1(z0)), 1'(z0))
   3'(c_2(c_1(c_3(c_1(c_2(c_2(c_2(c_3(c_3(c_0(c_2(c_1(c_3(c_0(c_2(c_0(c_2(z0)))))))))))))))))) -> c89(3'(3(3(2(3(2(2(0(2(2(1(0(3(2(1(2(1(0(z0)))))))))))))))))), 3'(3(2(3(2(2(0(2(2(1(0(3(2(1(2(1(0(z0))))))))))))))))), 3'(2(3(2(2(0(2(2(1(0(3(2(1(2(1(0(z0)))))))))))))))), 2'(3(2(2(0(2(2(1(0(3(2(1(2(1(0(z0))))))))))))))), 3'(2(2(0(2(2(1(0(3(2(1(2(1(0(z0)))))))))))))), 2'(2(0(2(2(1(0(3(2(1(2(1(0(z0))))))))))))), 2'(0(2(2(1(0(3(2(1(2(1(0(z0)))))))))))), 0'(2(2(1(0(3(2(1(2(1(0(z0))))))))))), 2'(2(1(0(3(2(1(2(1(0(z0)))))))))), 2'(1(0(3(2(1(2(1(0(z0))))))))), 1'(0(3(2(1(2(1(0(z0)))))))), 0'(3(2(1(2(1(0(z0))))))), 3'(2(1(2(1(0(z0)))))), 2'(1(2(1(0(z0))))), 1'(2(1(0(z0)))), 2'(1(0(z0))), 1'(0(z0)), 0'(z0))
   3'(c_1(c_0(c_0(c_3(c_0(c_0(c_0(c_0(c_1(c_2(c_0(c_2(c_0(c_2(c_0(c_0(c_1(z0)))))))))))))))))) -> c90(3'(0(0(0(0(0(2(0(0(0(0(3(0(2(1(1(2(1(z0)))))))))))))))))), 0'(0(0(0(0(2(0(0(0(0(3(0(2(1(1(2(1(z0))))))))))))))))), 0'(0(0(0(2(0(0(0(0(3(0(2(1(1(2(1(z0)))))))))))))))), 0'(0(0(2(0(0(0(0(3(0(2(1(1(2(1(z0))))))))))))))), 0'(0(2(0(0(0(0(3(0(2(1(1(2(1(z0)))))))))))))), 0'(2(0(0(0(0(3(0(2(1(1(2(1(z0))))))))))))), 2'(0(0(0(0(3(0(2(1(1(2(1(z0)))))))))))), 0'(0(0(0(3(0(2(1(1(2(1(z0))))))))))), 0'(0(0(3(0(2(1(1(2(1(z0)))))))))), 0'(0(3(0(2(1(1(2(1(z0))))))))), 0'(3(0(2(1(1(2(1(z0)))))))), 3'(0(2(1(1(2(1(z0))))))), 0'(2(1(1(2(1(z0)))))), 2'(1(1(2(1(z0))))), 1'(1(2(1(z0)))), 1'(2(1(z0))), 2'(1(z0)), 1'(z0))
   3'(c_3(c_0(c_3(c_1(c_0(c_0(c_2(c_2(c_2(c_0(c_0(c_0(c_2(c_2(c_1(c_3(c_2(z0)))))))))))))))))) -> c91(0'(3(2(0(3(3(1(2(1(2(2(0(3(0(0(0(2(2(z0)))))))))))))))))), 3'(2(0(3(3(1(2(1(2(2(0(3(0(0(0(2(2(z0))))))))))))))))), 2'(0(3(3(1(2(1(2(2(0(3(0(0(0(2(2(z0)))))))))))))))), 0'(3(3(1(2(1(2(2(0(3(0(0(0(2(2(z0))))))))))))))), 3'(3(1(2(1(2(2(0(3(0(0(0(2(2(z0)))))))))))))), 3'(1(2(1(2(2(0(3(0(0(0(2(2(z0))))))))))))), 1'(2(1(2(2(0(3(0(0(0(2(2(z0)))))))))))), 2'(1(2(2(0(3(0(0(0(2(2(z0))))))))))), 1'(2(2(0(3(0(0(0(2(2(z0)))))))))), 2'(2(0(3(0(0(0(2(2(z0))))))))), 2'(0(3(0(0(0(2(2(z0)))))))), 0'(3(0(0(0(2(2(z0))))))), 3'(0(0(0(2(2(z0)))))), 0'(0(0(2(2(z0))))), 0'(0(2(2(z0)))), 0'(2(2(z0))), 2'(2(z0)), 2'(z0))
   ENCODE_0(z0) -> c8(0'(encArg(z0)))
   ENCODE_1(z0) -> c8(1'(encArg(z0)))
   ENCODE_3(z0) -> c8(3'(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_2(c_0(c_3(c_3(c_2(c_3(c_1(c_3(c_1(c_0(c_2(c_1(c_3(c_0(c_2(c_0(z0)))))))))))))))))) -> c9(0'(0(1(1(3(0(3(3(1(2(0(2(3(0(2(2(0(3(z0)))))))))))))))))), 0'(1(1(3(0(3(3(1(2(0(2(3(0(2(2(0(3(z0))))))))))))))))), 1'(1(3(0(3(3(1(2(0(2(3(0(2(2(0(3(z0)))))))))))))))), 1'(3(0(3(3(1(2(0(2(3(0(2(2(0(3(z0))))))))))))))), 3'(0(3(3(1(2(0(2(3(0(2(2(0(3(z0)))))))))))))), 0'(3(3(1(2(0(2(3(0(2(2(0(3(z0))))))))))))), 3'(3(1(2(0(2(3(0(2(2(0(3(z0)))))))))))), 3'(1(2(0(2(3(0(2(2(0(3(z0))))))))))), 1'(2(0(2(3(0(2(2(0(3(z0)))))))))), 2'(0(2(3(0(2(2(0(3(z0))))))))), 0'(2(3(0(2(2(0(3(z0)))))))), 2'(3(0(2(2(0(3(z0))))))), 3'(0(2(2(0(3(z0)))))), 0'(2(2(0(3(z0))))), 2'(2(0(3(z0)))), 2'(0(3(z0))), 0'(3(z0)), 3'(z0))
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   0'(c_2(c_1(c_0(c_2(c_0(c_3(c_0(c_1(c_0(c_2(c_0(c_2(c_0(c_1(c_2(c_0(c_3(z0)))))))))))))))))) -> c14(0'(2(1(2(0(2(1(2(0(3(0(0(3(2(1(0(0(0(z0)))))))))))))))))), 2'(1(2(0(2(1(2(0(3(0(0(3(2(1(0(0(0(z0))))))))))))))))), 1'(2(0(2(1(2(0(3(0(0(3(2(1(0(0(0(z0)))))))))))))))), 2'(0(2(1(2(0(3(0(0(3(2(1(0(0(0(z0))))))))))))))), 0'(2(1(2(0(3(0(0(3(2(1(0(0(0(z0)))))))))))))), 2'(1(2(0(3(0(0(3(2(1(0(0(0(z0))))))))))))), 1'(2(0(3(0(0(3(2(1(0(0(0(z0)))))))))))), 2'(0(3(0(0(3(2(1(0(0(0(z0))))))))))), 0'(3(0(0(3(2(1(0(0(0(z0)))))))))), 3'(0(0(3(2(1(0(0(0(z0))))))))), 0'(0(3(2(1(0(0(0(z0)))))))), 0'(3(2(1(0(0(0(z0))))))), 3'(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))
   0'(c_1(c_2(c_3(c_3(c_3(c_1(c_3(c_3(c_3(c_2(c_3(c_1(c_2(c_0(c_1(c_3(c_1(z0)))))))))))))))))) -> c15(2'(3(0(3(3(3(1(1(3(0(3(1(3(2(3(1(2(1(z0)))))))))))))))))), 3'(0(3(3(3(1(1(3(0(3(1(3(2(3(1(2(1(z0))))))))))))))))), 0'(3(3(3(1(1(3(0(3(1(3(2(3(1(2(1(z0)))))))))))))))), 3'(3(3(1(1(3(0(3(1(3(2(3(1(2(1(z0))))))))))))))), 3'(3(1(1(3(0(3(1(3(2(3(1(2(1(z0)))))))))))))), 3'(1(1(3(0(3(1(3(2(3(1(2(1(z0))))))))))))), 1'(1(3(0(3(1(3(2(3(1(2(1(z0)))))))))))), 1'(3(0(3(1(3(2(3(1(2(1(z0))))))))))), 3'(0(3(1(3(2(3(1(2(1(z0)))))))))), 0'(3(1(3(2(3(1(2(1(z0))))))))), 3'(1(3(2(3(1(2(1(z0)))))))), 1'(3(2(3(1(2(1(z0))))))), 3'(2(3(1(2(1(z0)))))), 2'(3(1(2(1(z0))))), 3'(1(2(1(z0)))), 1'(2(1(z0))), 2'(1(z0)), 1'(z0))
   0'(c_1(c_1(c_1(c_3(c_0(c_1(c_3(c_1(c_2(c_0(c_2(c_1(c_2(c_2(c_0(c_3(c_0(z0)))))))))))))))))) -> c16(3'(0(3(2(2(1(1(1(2(0(1(1(2(1(3(0(0(0(z0)))))))))))))))))), 0'(3(2(2(1(1(1(2(0(1(1(2(1(3(0(0(0(z0))))))))))))))))), 3'(2(2(1(1(1(2(0(1(1(2(1(3(0(0(0(z0)))))))))))))))), 2'(2(1(1(1(2(0(1(1(2(1(3(0(0(0(z0))))))))))))))), 2'(1(1(1(2(0(1(1(2(1(3(0(0(0(z0)))))))))))))), 1'(1(1(2(0(1(1(2(1(3(0(0(0(z0))))))))))))), 1'(1(2(0(1(1(2(1(3(0(0(0(z0)))))))))))), 1'(2(0(1(1(2(1(3(0(0(0(z0))))))))))), 2'(0(1(1(2(1(3(0(0(0(z0)))))))))), 0'(1(1(2(1(3(0(0(0(z0))))))))), 1'(1(2(1(3(0(0(0(z0)))))))), 1'(2(1(3(0(0(0(z0))))))), 2'(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_1(c_3(c_2(c_3(c_1(c_1(c_3(c_2(c_2(c_0(c_0(c_1(c_3(c_2(c_3(c_3(c_3(z0)))))))))))))))))) -> c17(2'(3(0(3(3(3(1(0(0(1(2(1(3(2(3(2(1(3(z0)))))))))))))))))), 3'(0(3(3(3(1(0(0(1(2(1(3(2(3(2(1(3(z0))))))))))))))))), 0'(3(3(3(1(0(0(1(2(1(3(2(3(2(1(3(z0)))))))))))))))), 3'(3(3(1(0(0(1(2(1(3(2(3(2(1(3(z0))))))))))))))), 3'(3(1(0(0(1(2(1(3(2(3(2(1(3(z0)))))))))))))), 3'(1(0(0(1(2(1(3(2(3(2(1(3(z0))))))))))))), 1'(0(0(1(2(1(3(2(3(2(1(3(z0)))))))))))), 0'(0(1(2(1(3(2(3(2(1(3(z0))))))))))), 0'(1(2(1(3(2(3(2(1(3(z0)))))))))), 1'(2(1(3(2(3(2(1(3(z0))))))))), 2'(1(3(2(3(2(1(3(z0)))))))), 1'(3(2(3(2(1(3(z0))))))), 3'(2(3(2(1(3(z0)))))), 2'(3(2(1(3(z0))))), 3'(2(1(3(z0)))), 2'(1(3(z0))), 1'(3(z0)), 3'(z0))
   0'(c_1(c_0(c_0(c_2(c_2(c_2(c_3(c_2(c_1(c_3(c_2(c_3(c_3(c_1(c_0(c_1(c_0(z0)))))))))))))))))) -> c18(0'(1(2(3(0(3(3(0(2(0(1(0(2(1(3(2(1(2(z0)))))))))))))))))), 1'(2(3(0(3(3(0(2(0(1(0(2(1(3(2(1(2(z0))))))))))))))))), 2'(3(0(3(3(0(2(0(1(0(2(1(3(2(1(2(z0)))))))))))))))), 3'(0(3(3(0(2(0(1(0(2(1(3(2(1(2(z0))))))))))))))), 0'(3(3(0(2(0(1(0(2(1(3(2(1(2(z0)))))))))))))), 3'(3(0(2(0(1(0(2(1(3(2(1(2(z0))))))))))))), 3'(0(2(0(1(0(2(1(3(2(1(2(z0)))))))))))), 0'(2(0(1(0(2(1(3(2(1(2(z0))))))))))), 2'(0(1(0(2(1(3(2(1(2(z0)))))))))), 0'(1(0(2(1(3(2(1(2(z0))))))))), 1'(0(2(1(3(2(1(2(z0)))))))), 0'(2(1(3(2(1(2(z0))))))), 2'(1(3(2(1(2(z0)))))), 1'(3(2(1(2(z0))))), 3'(2(1(2(z0)))), 2'(1(2(z0))), 1'(2(z0)), 2'(z0))
   0'(c_3(c_2(c_3(c_1(c_0(c_0(c_1(c_0(c_0(c_1(c_2(c_3(c_2(c_1(c_1(c_0(c_1(z0)))))))))))))))))) -> c19(3'(0(0(3(1(1(0(0(2(1(2(2(0(1(1(0(3(1(z0)))))))))))))))))), 0'(0(3(1(1(0(0(2(1(2(2(0(1(1(0(3(1(z0))))))))))))))))), 0'(3(1(1(0(0(2(1(2(2(0(1(1(0(3(1(z0)))))))))))))))), 3'(1(1(0(0(2(1(2(2(0(1(1(0(3(1(z0))))))))))))))), 1'(1(0(0(2(1(2(2(0(1(1(0(3(1(z0)))))))))))))), 1'(0(0(2(1(2(2(0(1(1(0(3(1(z0))))))))))))), 0'(0(2(1(2(2(0(1(1(0(3(1(z0)))))))))))), 0'(2(1(2(2(0(1(1(0(3(1(z0))))))))))), 2'(1(2(2(0(1(1(0(3(1(z0)))))))))), 1'(2(2(0(1(1(0(3(1(z0))))))))), 2'(2(0(1(1(0(3(1(z0)))))))), 2'(0(1(1(0(3(1(z0))))))), 0'(1(1(0(3(1(z0)))))), 1'(1(0(3(1(z0))))), 1'(0(3(1(z0)))), 0'(3(1(z0))), 3'(1(z0)), 1'(z0))
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   3'(c_3(c_2(c_1(c_3(c_2(c_0(c_2(c_0(c_0(c_3(c_1(c_3(c_0(c_2(c_0(c_2(c_2(z0)))))))))))))))))) -> c81(2'(0(1(3(2(2(2(1(2(3(3(0(3(0(0(0(3(2(z0)))))))))))))))))), 0'(1(3(2(2(2(1(2(3(3(0(3(0(0(0(3(2(z0))))))))))))))))), 1'(3(2(2(2(1(2(3(3(0(3(0(0(0(3(2(z0)))))))))))))))), 3'(2(2(2(1(2(3(3(0(3(0(0(0(3(2(z0))))))))))))))), 2'(2(2(1(2(3(3(0(3(0(0(0(3(2(z0)))))))))))))), 2'(2(1(2(3(3(0(3(0(0(0(3(2(z0))))))))))))), 2'(1(2(3(3(0(3(0(0(0(3(2(z0)))))))))))), 1'(2(3(3(0(3(0(0(0(3(2(z0))))))))))), 2'(3(3(0(3(0(0(0(3(2(z0)))))))))), 3'(3(0(3(0(0(0(3(2(z0))))))))), 3'(0(3(0(0(0(3(2(z0)))))))), 0'(3(0(0(0(3(2(z0))))))), 3'(0(0(0(3(2(z0)))))), 0'(0(0(3(2(z0))))), 0'(0(3(2(z0)))), 0'(3(2(z0))), 3'(2(z0)), 2'(z0))
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K tuples:none
Defined Rule Symbols:   encArg_1, 0_1, 1_1, 2_1, 3_1

Defined Pair Symbols:   ENCARG_1, 0'_1, 1'_1, 2'_1, 3'_1, ENCODE_0_1, ENCODE_1_1, ENCODE_3_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, c30_18, c31_18, c32_18, c33_18, c34_18, c35_18, c36_18, c37_18, c38_18, c39_18, c40_18, c41_18, c42_18, c44_18, c45_18, c46_18, c47_18, c48_18, c49_18, c50_18, c51_18, c52_18, c53_18, c54_18, c55_18, c56_18, c57_18, c58_18, c59_18, c60_18, c61_18, c62_18, c63_18, c64_18, c65_18, c67_18, c68_18, c69_18, c70_18, c71_18, c72_18, c73_18, c74_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


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(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)))

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(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_2(c_0(c_3(c_3(c_2(c_3(c_1(c_3(c_1(c_0(c_2(c_1(c_3(c_0(c_2(c_0(z0)))))))))))))))))) -> 0(0(1(1(3(0(3(3(1(2(0(2(3(0(2(2(0(3(z0))))))))))))))))))
   0(c_0(c_2(c_0(c_3(c_0(c_2(c_2(c_3(c_0(c_2(c_0(c_0(c_2(c_3(c_0(c_0(c_2(z0)))))))))))))))))) -> 0(0(3(2(2(0(2(0(0(0(2(2(0(3(0(0(3(2(z0))))))))))))))))))
   0(c_0(c_0(c_1(c_3(c_3(c_2(c_2(c_3(c_0(c_0(c_1(c_3(c_2(c_2(c_3(c_3(c_2(z0)))))))))))))))))) -> 3(0(2(3(0(3(0(3(0(0(1(2(3(3(1(2(2(2(z0))))))))))))))))))
   0(c_0(c_0(c_2(c_2(c_3(c_0(c_0(c_1(c_0(c_0(c_0(c_1(c_0(c_3(c_1(c_2(c_2(z0)))))))))))))))))) -> 0(0(0(3(2(0(1(3(0(2(1(0(0(1(2(0(0(2(z0))))))))))))))))))
   0(c_1(c_0(c_2(c_2(c_1(c_2(c_1(c_3(c_1(c_1(c_2(c_0(c_1(c_2(c_0(c_1(c_0(z0)))))))))))))))))) -> 2(0(0(3(1(2(2(1(2(0(1(0(1(2(1(1(1(0(z0))))))))))))))))))
   0(c_2(c_1(c_0(c_2(c_0(c_3(c_0(c_1(c_0(c_2(c_0(c_2(c_0(c_1(c_2(c_0(c_3(z0)))))))))))))))))) -> 0(2(1(2(0(2(1(2(0(3(0(0(3(2(1(0(0(0(z0))))))))))))))))))
   0(c_1(c_2(c_3(c_3(c_3(c_1(c_3(c_3(c_3(c_2(c_3(c_1(c_2(c_0(c_1(c_3(c_1(z0)))))))))))))))))) -> 2(3(0(3(3(3(1(1(3(0(3(1(3(2(3(1(2(1(z0))))))))))))))))))
   0(c_1(c_1(c_1(c_3(c_0(c_1(c_3(c_1(c_2(c_0(c_2(c_1(c_2(c_2(c_0(c_3(c_0(z0)))))))))))))))))) -> 3(0(3(2(2(1(1(1(2(0(1(1(2(1(3(0(0(0(z0))))))))))))))))))
   0(c_1(c_3(c_2(c_3(c_1(c_1(c_3(c_2(c_2(c_0(c_0(c_1(c_3(c_2(c_3(c_3(c_3(z0)))))))))))))))))) -> 2(3(0(3(3(3(1(0(0(1(2(1(3(2(3(2(1(3(z0))))))))))))))))))
   0(c_1(c_0(c_0(c_2(c_2(c_2(c_3(c_2(c_1(c_3(c_2(c_3(c_3(c_1(c_0(c_1(c_0(z0)))))))))))))))))) -> 0(1(2(3(0(3(3(0(2(0(1(0(2(1(3(2(1(2(z0))))))))))))))))))
   0(c_3(c_2(c_3(c_1(c_0(c_0(c_1(c_0(c_0(c_1(c_2(c_3(c_2(c_1(c_1(c_0(c_1(z0)))))))))))))))))) -> 3(0(0(3(1(1(0(0(2(1(2(2(0(1(1(0(3(1(z0))))))))))))))))))
   0(c_2(c_0(c_1(c_0(c_0(c_0(c_1(c_0(c_3(c_0(c_2(c_3(c_3(c_3(c_3(c_0(c_3(z0)))))))))))))))))) -> 0(3(0(0(0(3(3(2(0(1(1(0(2(3(0(0(3(3(z0))))))))))))))))))
   0(c_2(c_0(c_1(c_3(c_1(c_0(c_0(c_3(c_2(c_0(c_2(c_2(c_3(c_0(c_1(c_0(c_0(z0)))))))))))))))))) -> 1(0(0(3(2(1(2(2(2(0(0(3(1(0(0(0(3(0(z0))))))))))))))))))
   0(c_1(c_2(c_2(c_3(c_1(c_3(c_3(c_1(c_3(c_2(c_2(c_3(c_3(c_0(c_2(c_0(c_2(z0)))))))))))))))))) -> 0(1(2(3(0(3(3(3(3(2(2(1(2(0(2(3(1(2(z0))))))))))))))))))
   0(c_3(c_1(c_1(c_2(c_2(c_0(c_0(c_0(c_1(c_3(c_2(c_3(c_3(c_3(c_3(c_3(c_3(z0)))))))))))))))))) -> 3(0(3(2(3(3(0(0(3(2(1(1(0(3(1(2(3(3(z0))))))))))))))))))
   0(c_3(c_1(c_2(c_1(c_0(c_2(c_1(c_3(c_0(c_3(c_2(c_3(c_2(c_3(c_0(c_1(c_2(z0)))))))))))))))))) -> 3(0(2(3(0(3(1(2(1(2(3(0(3(1(0(2(1(2(z0))))))))))))))))))
   0(c_1(c_2(c_3(c_0(c_2(c_1(c_1(c_3(c_3(c_3(c_2(c_3(c_1(c_3(c_1(c_3(c_1(z0)))))))))))))))))) -> 2(1(3(2(3(1(1(3(3(0(3(3(0(3(2(1(1(1(z0))))))))))))))))))
   0(c_0(c_2(c_0(c_1(c_1(c_3(c_0(c_2(c_3(c_2(c_2(c_0(c_2(c_3(c_3(c_1(c_2(z0)))))))))))))))))) -> 0(0(3(2(1(0(0(3(1(3(0(3(2(2(1(2(2(2(z0))))))))))))))))))
   0(c_3(c_3(c_2(c_3(c_1(c_3(c_2(c_0(c_0(c_2(c_1(c_3(c_1(c_3(c_2(c_3(c_3(z0)))))))))))))))))) -> 3(2(2(3(2(0(1(2(1(3(1(3(0(3(0(3(3(3(z0))))))))))))))))))
   0(c_0(c_1(c_3(c_1(c_0(c_0(c_1(c_3(c_3(c_0(c_0(c_1(c_2(c_2(c_1(c_1(c_1(z0)))))))))))))))))) -> 3(3(0(2(0(0(0(0(1(0(2(1(3(1(1(1(1(1(z0))))))))))))))))))
   1(z0) -> c_1(z0)
   1(c_2(c_3(c_0(c_1(c_0(c_3(c_1(c_2(c_3(c_1(c_1(c_1(c_1(c_3(c_2(c_3(c_0(z0)))))))))))))))))) -> 1(1(2(1(1(3(0(3(3(2(1(2(0(3(1(1(3(0(z0))))))))))))))))))
   1(c_3(c_1(c_3(c_1(c_1(c_1(c_2(c_1(c_3(c_0(c_1(c_2(c_1(c_3(c_1(c_1(c_0(z0)))))))))))))))))) -> 1(0(1(1(1(3(3(2(3(0(1(2(1(1(1(1(1(3(z0))))))))))))))))))
   1(c_1(c_0(c_3(c_1(c_2(c_0(c_0(c_1(c_3(c_2(c_1(c_2(c_0(c_3(c_0(c_2(c_2(z0)))))))))))))))))) -> 1(1(2(2(3(2(1(0(0(3(2(3(0(0(0(1(1(2(z0))))))))))))))))))
   1(c_2(c_2(c_0(c_3(c_1(c_3(c_0(c_0(c_1(c_3(c_3(c_0(c_3(c_2(c_3(c_1(c_2(z0)))))))))))))))))) -> 1(0(2(3(3(3(3(0(2(0(3(1(0(3(1(2(1(2(z0))))))))))))))))))
   1(c_1(c_0(c_0(c_0(c_2(c_0(c_1(c_0(c_1(c_1(c_0(c_3(c_2(c_1(c_0(c_0(c_2(z0)))))))))))))))))) -> 1(1(2(1(1(0(0(2(3(0(0(0(0(1(1(0(0(2(z0))))))))))))))))))
   1(c_3(c_1(c_3(c_2(c_0(c_0(c_0(c_1(c_3(c_1(c_0(c_2(c_2(c_2(c_1(c_0(c_2(z0)))))))))))))))))) -> 1(0(1(1(2(2(0(3(3(0(1(0(1(2(2(3(0(2(z0))))))))))))))))))
   1(c_0(c_0(c_0(c_3(c_0(c_2(c_1(c_3(c_3(c_1(c_2(c_2(c_3(c_1(c_3(c_2(c_1(z0)))))))))))))))))) -> 1(2(1(3(3(0(3(0(3(1(0(2(2(3(1(0(2(1(z0))))))))))))))))))
   1(c_3(c_3(c_1(c_3(c_1(c_3(c_0(c_1(c_0(c_2(c_3(c_1(c_1(c_1(c_3(c_0(c_3(z0)))))))))))))))))) -> 1(1(1(2(1(3(0(0(3(3(3(0(1(1(3(3(1(3(z0))))))))))))))))))
   1(c_2(c_2(c_2(c_2(c_0(c_3(c_3(c_2(c_1(c_3(c_0(c_2(c_1(c_3(c_2(c_0(c_3(z0)))))))))))))))))) -> 1(2(2(1(2(1(2(0(2(3(2(2(0(0(3(3(3(3(z0))))))))))))))))))
   1(c_3(c_0(c_2(c_0(c_3(c_2(c_2(c_1(c_3(c_2(c_3(c_2(c_2(c_2(c_1(c_3(c_2(z0)))))))))))))))))) -> 1(3(2(1(2(2(3(3(3(2(1(3(2(0(0(2(2(2(z0))))))))))))))))))
   1(c_3(c_2(c_2(c_0(c_3(c_1(c_1(c_3(c_1(c_3(c_0(c_2(c_1(c_2(c_2(c_0(c_3(z0)))))))))))))))))) -> 1(1(2(1(0(1(2(3(3(0(3(0(3(2(2(1(2(3(z0))))))))))))))))))
   1(c_0(c_2(c_1(c_2(c_3(c_3(c_0(c_1(c_0(c_2(c_3(c_0(c_1(c_1(c_3(c_3(c_1(z0)))))))))))))))))) -> 1(2(1(1(1(3(0(3(0(3(1(0(3(2(2(0(3(1(z0))))))))))))))))))
   1(c_0(c_2(c_0(c_0(c_0(c_1(c_2(c_3(c_0(c_1(c_2(c_2(c_2(c_1(c_2(c_2(c_0(z0)))))))))))))))))) -> 1(2(2(0(0(1(1(0(0(2(2(2(2(1(2(0(0(3(z0))))))))))))))))))
   2(z0) -> c_2(z0)
   2(c_2(c_2(c_3(c_0(c_1(c_3(c_2(c_1(c_3(c_3(c_2(c_1(c_2(c_2(c_1(c_2(c_3(z0)))))))))))))))))) -> 2(2(2(1(1(2(3(2(3(2(2(0(3(1(2(1(3(3(z0))))))))))))))))))
   2(c_2(c_1(c_3(c_1(c_3(c_0(c_0(c_2(c_1(c_2(c_2(c_2(c_1(c_1(c_1(c_0(c_1(z0)))))))))))))))))) -> 0(2(2(3(3(1(1(2(0(2(1(1(2(1(0(1(2(1(z0))))))))))))))))))
   2(c_0(c_0(c_1(c_3(c_1(c_3(c_2(c_1(c_0(c_0(c_2(c_2(c_2(c_0(c_2(c_0(c_3(z0)))))))))))))))))) -> 0(2(2(2(0(2(1(0(0(3(0(0(1(2(2(1(3(3(z0))))))))))))))))))
   2(c_3(c_2(c_3(c_1(c_2(c_0(c_1(c_3(c_0(c_1(c_3(c_2(c_1(c_0(c_2(c_3(c_3(z0)))))))))))))))))) -> 0(3(1(0(2(2(1(2(2(1(3(3(3(1(0(2(3(3(z0))))))))))))))))))
   2(c_1(c_2(c_2(c_2(c_2(c_2(c_0(c_1(c_3(c_2(c_0(c_0(c_1(c_2(c_3(c_1(c_2(z0)))))))))))))))))) -> 2(1(2(2(1(0(0(3(3(0(1(2(2(2(2(2(1(2(z0))))))))))))))))))
   2(c_2(c_3(c_2(c_2(c_3(c_1(c_0(c_2(c_3(c_1(c_1(c_1(c_0(c_0(c_1(c_0(c_2(z0)))))))))))))))))) -> 0(2(1(1(2(2(0(3(3(0(1(1(2(2(1(0(3(2(z0))))))))))))))))))
   2(c_3(c_3(c_2(c_1(c_0(c_3(c_0(c_0(c_0(c_3(c_3(c_1(c_3(c_0(c_0(c_0(c_3(z0)))))))))))))))))) -> 2(1(0(3(0(3(0(3(3(3(0(0(0(0(2(1(3(3(z0))))))))))))))))))
   2(c_1(c_0(c_3(c_1(c_3(c_1(c_2(c_2(c_2(c_2(c_1(c_2(c_3(c_1(c_3(c_0(c_2(z0)))))))))))))))))) -> 2(3(3(2(1(2(0(3(1(2(2(1(0(3(2(2(1(1(z0))))))))))))))))))
   2(c_2(c_3(c_1(c_1(c_1(c_3(c_1(c_2(c_0(c_1(c_2(c_2(c_0(c_1(c_2(c_2(c_2(z0)))))))))))))))))) -> 2(2(1(2(1(3(1(1(2(3(2(2(0(1(2(0(1(2(z0))))))))))))))))))
   2(c_2(c_2(c_2(c_3(c_2(c_0(c_1(c_3(c_1(c_2(c_2(c_2(c_1(c_3(c_2(c_3(c_3(z0)))))))))))))))))) -> 2(3(1(2(2(1(2(2(1(0(2(2(2(2(3(3(3(3(z0))))))))))))))))))
   2(c_0(c_2(c_2(c_3(c_1(c_0(c_3(c_2(c_3(c_0(c_3(c_2(c_0(c_0(c_2(c_0(c_2(z0)))))))))))))))))) -> 2(0(0(2(3(0(3(3(0(3(2(0(1(2(2(2(0(2(z0))))))))))))))))))
   2(c_1(c_3(c_0(c_0(c_2(c_2(c_1(c_1(c_3(c_1(c_3(c_1(c_0(c_0(c_2(c_1(c_2(z0)))))))))))))))))) -> 0(1(2(1(0(1(2(1(0(0(1(1(2(3(3(3(2(2(z0))))))))))))))))))
   2(c_0(c_3(c_0(c_0(c_1(c_3(c_1(c_2(c_0(c_2(c_1(c_3(c_0(c_2(c_2(c_0(c_0(z0)))))))))))))))))) -> 0(0(3(0(3(2(1(2(1(2(2(1(2(0(0(0(3(0(z0))))))))))))))))))
   2(c_0(c_2(c_0(c_3(c_0(c_0(c_2(c_2(c_1(c_1(c_0(c_3(c_1(c_0(c_3(c_1(c_1(z0)))))))))))))))))) -> 2(0(0(3(3(2(2(1(0(1(0(1(0(3(2(1(0(1(z0))))))))))))))))))
   2(c_2(c_0(c_0(c_3(c_0(c_1(c_3(c_1(c_0(c_2(c_2(c_2(c_3(c_0(c_1(c_2(c_0(z0)))))))))))))))))) -> 0(2(0(3(2(3(2(1(0(2(0(2(1(0(1(0(2(3(z0))))))))))))))))))
   2(c_0(c_0(c_0(c_1(c_1(c_3(c_1(c_1(c_1(c_2(c_2(c_2(c_2(c_2(c_0(c_1(c_3(z0)))))))))))))))))) -> 2(0(1(2(0(0(3(2(2(1(1(1(1(2(2(1(3(0(z0))))))))))))))))))
   2(c_0(c_3(c_1(c_0(c_3(c_2(c_1(c_0(c_2(c_3(c_1(c_0(c_2(c_2(c_1(c_1(c_1(z0)))))))))))))))))) -> 2(1(2(2(2(0(1(1(0(0(3(3(1(3(0(2(1(1(z0))))))))))))))))))
   2(c_1(c_2(c_1(c_3(c_0(c_2(c_2(c_3(c_2(c_3(c_1(c_1(c_1(c_3(c_3(c_0(c_2(z0)))))))))))))))))) -> 2(1(2(1(3(2(1(2(3(2(3(3(0(0(3(1(2(1(z0))))))))))))))))))
   2(c_2(c_1(c_3(c_3(c_0(c_0(c_2(c_1(c_3(c_0(c_1(c_2(c_2(c_2(c_2(c_3(c_3(z0)))))))))))))))))) -> 2(0(2(2(0(2(1(0(3(2(2(1(1(3(2(3(3(3(z0))))))))))))))))))
   2(c_1(c_2(c_3(c_1(c_3(c_2(c_0(c_2(c_2(c_3(c_3(c_3(c_2(c_3(c_1(c_3(c_3(z0)))))))))))))))))) -> 2(3(3(2(2(1(3(2(3(2(1(0(3(3(1(2(3(3(z0))))))))))))))))))
   2(c_0(c_1(c_0(c_1(c_2(c_2(c_2(c_2(c_3(c_3(c_1(c_1(c_1(c_1(c_2(c_1(c_2(z0)))))))))))))))))) -> 0(2(2(1(1(1(2(1(0(3(3(2(2(1(1(2(1(2(z0))))))))))))))))))
   2(c_3(c_0(c_1(c_3(c_1(c_3(c_3(c_0(c_3(c_0(c_2(c_0(c_3(c_1(c_3(c_2(c_3(z0)))))))))))))))))) -> 0(2(0(3(3(3(2(1(3(0(3(3(3(3(1(1(2(0(z0))))))))))))))))))
   3(z0) -> c_3(z0)
   3(c_0(c_0(c_3(c_1(c_3(c_0(c_2(c_0(c_2(c_0(c_0(c_1(c_0(c_3(c_2(c_3(c_2(z0)))))))))))))))))) -> 0(0(3(2(3(3(0(0(0(3(2(0(1(2(3(1(0(2(z0))))))))))))))))))
   3(c_3(c_0(c_2(c_3(c_0(c_1(c_3(c_3(c_3(c_1(c_2(c_1(c_3(c_2(c_2(c_0(c_3(z0)))))))))))))))))) -> 2(3(1(1(0(1(2(0(3(3(3(2(3(2(3(3(0(3(z0))))))))))))))))))
   3(c_3(c_3(c_2(c_3(c_0(c_2(c_2(c_3(c_1(c_2(c_3(c_0(c_3(c_3(c_2(c_2(c_2(z0)))))))))))))))))) -> 3(0(3(2(2(2(0(3(3(3(2(2(3(2(1(3(3(2(z0))))))))))))))))))
   3(c_1(c_1(c_1(c_3(c_1(c_3(c_3(c_3(c_2(c_3(c_0(c_0(c_2(c_3(c_1(c_3(c_1(z0)))))))))))))))))) -> 3(3(1(2(2(3(0(1(0(3(3(3(1(1(1(3(3(1(z0))))))))))))))))))
   3(c_3(c_2(c_0(c_0(c_1(c_0(c_2(c_3(c_3(c_0(c_3(c_1(c_3(c_3(c_1(c_3(c_3(z0)))))))))))))))))) -> 0(0(3(3(1(1(0(2(2(3(1(3(3(0(3(3(3(3(z0))))))))))))))))))
   3(c_1(c_3(c_2(c_1(c_3(c_1(c_0(c_3(c_2(c_0(c_2(c_0(c_3(c_0(c_2(c_3(c_3(z0)))))))))))))))))) -> 2(2(0(1(2(1(0(3(3(3(0(3(2(1(3(3(3(0(z0))))))))))))))))))
   3(c_1(c_3(c_1(c_1(c_1(c_1(c_3(c_2(c_0(c_0(c_2(c_2(c_2(c_1(c_3(c_3(c_1(z0)))))))))))))))))) -> 3(1(0(3(1(1(0(2(2(2(3(1(2(1(1(3(3(1(z0))))))))))))))))))
   3(c_0(c_0(c_2(c_2(c_2(c_1(c_3(c_1(c_3(c_3(c_3(c_2(c_0(c_2(c_3(c_3(c_3(z0)))))))))))))))))) -> 2(1(2(1(2(3(3(0(2(3(0(3(3(3(2(0(3(3(z0))))))))))))))))))
   3(c_3(c_3(c_1(c_3(c_1(c_3(c_0(c_3(c_3(c_2(c_0(c_1(c_3(c_0(c_1(c_2(c_3(z0)))))))))))))))))) -> 3(3(3(1(1(3(1(3(3(3(2(3(0(3(1(2(0(0(z0))))))))))))))))))
   3(c_0(c_0(c_0(c_2(c_0(c_3(c_2(c_0(c_2(c_2(c_2(c_0(c_0(c_1(c_3(c_0(c_2(z0)))))))))))))))))) -> 0(0(2(1(2(3(0(3(2(0(2(0(0(3(0(2(0(2(z0))))))))))))))))))
   3(c_2(c_3(c_0(c_2(c_2(c_2(c_2(c_0(c_0(c_0(c_1(c_1(c_1(c_3(c_0(c_2(c_3(z0)))))))))))))))))) -> 3(0(2(3(2(0(3(1(2(0(2(1(0(3(2(1(2(0(z0))))))))))))))))))
   3(c_2(c_0(c_0(c_0(c_2(c_3(c_3(c_1(c_1(c_0(c_1(c_3(c_2(c_3(c_3(c_0(c_0(z0)))))))))))))))))) -> 3(0(2(1(2(3(3(0(3(1(0(1(2(3(3(0(0(0(z0))))))))))))))))))
   3(c_0(c_3(c_2(c_2(c_0(c_2(c_0(c_0(c_0(c_1(c_3(c_2(c_3(c_3(c_0(c_3(c_0(z0)))))))))))))))))) -> 3(0(2(0(1(2(2(0(3(0(2(0(3(0(3(3(3(0(z0))))))))))))))))))
   3(c_0(c_2(c_2(c_0(c_1(c_2(c_0(c_0(c_2(c_0(c_2(c_2(c_2(c_3(c_1(c_0(c_2(z0)))))))))))))))))) -> 0(2(1(2(2(3(0(0(3(2(2(1(2(0(2(0(0(2(z0))))))))))))))))))
   3(c_3(c_2(c_1(c_3(c_2(c_0(c_2(c_0(c_0(c_3(c_1(c_3(c_0(c_2(c_0(c_2(c_2(z0)))))))))))))))))) -> 2(0(1(3(2(2(2(1(2(3(3(0(3(0(0(0(3(2(z0))))))))))))))))))
   3(c_0(c_2(c_2(c_3(c_2(c_2(c_3(c_2(c_2(c_3(c_3(c_2(c_0(c_1(c_3(c_2(c_3(z0)))))))))))))))))) -> 0(3(3(2(1(3(3(2(2(3(2(2(2(0(3(2(2(3(z0))))))))))))))))))
   3(c_0(c_1(c_2(c_1(c_0(c_2(c_1(c_1(c_3(c_0(c_1(c_2(c_3(c_1(c_1(c_1(c_1(z0)))))))))))))))))) -> 3(3(1(1(1(0(1(2(1(1(1(2(2(3(0(1(0(1(z0))))))))))))))))))
   3(c_3(c_2(c_1(c_3(c_0(c_0(c_1(c_3(c_2(c_0(c_0(c_2(c_3(c_3(c_0(c_0(c_2(z0)))))))))))))))))) -> 3(0(0(3(0(3(0(1(2(0(3(1(3(0(3(2(2(2(z0))))))))))))))))))
   3(c_3(c_0(c_2(c_0(c_2(c_0(c_1(c_2(c_0(c_2(c_3(c_0(c_2(c_2(c_0(c_3(c_3(z0)))))))))))))))))) -> 3(2(0(3(2(0(0(0(3(0(3(2(2(2(1(2(0(3(z0))))))))))))))))))
   3(c_2(c_2(c_1(c_2(c_2(c_3(c_1(c_1(c_2(c_0(c_1(c_3(c_1(c_2(c_2(c_1(c_1(z0)))))))))))))))))) -> 3(1(1(1(2(2(1(3(2(3(2(2(1(1(2(0(2(1(z0))))))))))))))))))
   3(c_2(c_2(c_2(c_3(c_2(c_3(c_0(c_1(c_3(c_2(c_1(c_3(c_2(c_3(c_0(c_2(c_1(z0)))))))))))))))))) -> 0(0(3(3(2(1(2(1(3(3(3(3(2(2(2(2(2(1(z0))))))))))))))))))
   3(c_1(c_3(c_2(c_1(c_1(c_3(c_1(c_2(c_2(c_1(c_3(c_2(c_3(c_1(c_0(c_3(c_1(z0)))))))))))))))))) -> 3(1(3(3(1(2(0(1(1(2(2(1(3(3(2(3(1(1(z0))))))))))))))))))
   3(c_2(c_1(c_3(c_1(c_2(c_2(c_2(c_3(c_3(c_0(c_2(c_1(c_3(c_0(c_2(c_0(c_2(z0)))))))))))))))))) -> 3(3(3(2(3(2(2(0(2(2(1(0(3(2(1(2(1(0(z0))))))))))))))))))
   3(c_1(c_0(c_0(c_3(c_0(c_0(c_0(c_0(c_1(c_2(c_0(c_2(c_0(c_2(c_0(c_0(c_1(z0)))))))))))))))))) -> 3(0(0(0(0(0(2(0(0(0(0(3(0(2(1(1(2(1(z0))))))))))))))))))
   3(c_3(c_0(c_3(c_1(c_0(c_0(c_2(c_2(c_2(c_0(c_0(c_0(c_2(c_2(c_1(c_3(c_2(z0)))))))))))))))))) -> 0(3(2(0(3(3(1(2(1(2(2(0(3(0(0(0(2(2(z0))))))))))))))))))
Tuples:
   0'(c_0(c_2(c_0(c_3(c_3(c_2(c_3(c_1(c_3(c_1(c_0(c_2(c_1(c_3(c_0(c_2(c_0(z0)))))))))))))))))) -> c9(0'(0(1(1(3(0(3(3(1(2(0(2(3(0(2(2(0(3(z0)))))))))))))))))), 0'(1(1(3(0(3(3(1(2(0(2(3(0(2(2(0(3(z0))))))))))))))))), 1'(1(3(0(3(3(1(2(0(2(3(0(2(2(0(3(z0)))))))))))))))), 1'(3(0(3(3(1(2(0(2(3(0(2(2(0(3(z0))))))))))))))), 3'(0(3(3(1(2(0(2(3(0(2(2(0(3(z0)))))))))))))), 0'(3(3(1(2(0(2(3(0(2(2(0(3(z0))))))))))))), 3'(3(1(2(0(2(3(0(2(2(0(3(z0)))))))))))), 3'(1(2(0(2(3(0(2(2(0(3(z0))))))))))), 1'(2(0(2(3(0(2(2(0(3(z0)))))))))), 2'(0(2(3(0(2(2(0(3(z0))))))))), 0'(2(3(0(2(2(0(3(z0)))))))), 2'(3(0(2(2(0(3(z0))))))), 3'(0(2(2(0(3(z0)))))), 0'(2(2(0(3(z0))))), 2'(2(0(3(z0)))), 2'(0(3(z0))), 0'(3(z0)), 3'(z0))
   0'(c_0(c_2(c_0(c_3(c_0(c_2(c_2(c_3(c_0(c_2(c_0(c_0(c_2(c_3(c_0(c_0(c_2(z0)))))))))))))))))) -> c10(0'(0(3(2(2(0(2(0(0(0(2(2(0(3(0(0(3(2(z0)))))))))))))))))), 0'(3(2(2(0(2(0(0(0(2(2(0(3(0(0(3(2(z0))))))))))))))))), 3'(2(2(0(2(0(0(0(2(2(0(3(0(0(3(2(z0)))))))))))))))), 2'(2(0(2(0(0(0(2(2(0(3(0(0(3(2(z0))))))))))))))), 2'(0(2(0(0(0(2(2(0(3(0(0(3(2(z0)))))))))))))), 0'(2(0(0(0(2(2(0(3(0(0(3(2(z0))))))))))))), 2'(0(0(0(2(2(0(3(0(0(3(2(z0)))))))))))), 0'(0(0(2(2(0(3(0(0(3(2(z0))))))))))), 0'(0(2(2(0(3(0(0(3(2(z0)))))))))), 0'(2(2(0(3(0(0(3(2(z0))))))))), 2'(2(0(3(0(0(3(2(z0)))))))), 2'(0(3(0(0(3(2(z0))))))), 0'(3(0(0(3(2(z0)))))), 3'(0(0(3(2(z0))))), 0'(0(3(2(z0)))), 0'(3(2(z0))), 3'(2(z0)), 2'(z0))
   0'(c_0(c_0(c_1(c_3(c_3(c_2(c_2(c_3(c_0(c_0(c_1(c_3(c_2(c_2(c_3(c_3(c_2(z0)))))))))))))))))) -> c11(3'(0(2(3(0(3(0(3(0(0(1(2(3(3(1(2(2(2(z0)))))))))))))))))), 0'(2(3(0(3(0(3(0(0(1(2(3(3(1(2(2(2(z0))))))))))))))))), 2'(3(0(3(0(3(0(0(1(2(3(3(1(2(2(2(z0)))))))))))))))), 3'(0(3(0(3(0(0(1(2(3(3(1(2(2(2(z0))))))))))))))), 0'(3(0(3(0(0(1(2(3(3(1(2(2(2(z0)))))))))))))), 3'(0(3(0(0(1(2(3(3(1(2(2(2(z0))))))))))))), 0'(3(0(0(1(2(3(3(1(2(2(2(z0)))))))))))), 3'(0(0(1(2(3(3(1(2(2(2(z0))))))))))), 0'(0(1(2(3(3(1(2(2(2(z0)))))))))), 0'(1(2(3(3(1(2(2(2(z0))))))))), 1'(2(3(3(1(2(2(2(z0)))))))), 2'(3(3(1(2(2(2(z0))))))), 3'(3(1(2(2(2(z0)))))), 3'(1(2(2(2(z0))))), 1'(2(2(2(z0)))), 2'(2(2(z0))), 2'(2(z0)), 2'(z0))
   0'(c_0(c_0(c_2(c_2(c_3(c_0(c_0(c_1(c_0(c_0(c_0(c_1(c_0(c_3(c_1(c_2(c_2(z0)))))))))))))))))) -> c12(0'(0(0(3(2(0(1(3(0(2(1(0(0(1(2(0(0(2(z0)))))))))))))))))), 0'(0(3(2(0(1(3(0(2(1(0(0(1(2(0(0(2(z0))))))))))))))))), 0'(3(2(0(1(3(0(2(1(0(0(1(2(0(0(2(z0)))))))))))))))), 3'(2(0(1(3(0(2(1(0(0(1(2(0(0(2(z0))))))))))))))), 2'(0(1(3(0(2(1(0(0(1(2(0(0(2(z0)))))))))))))), 0'(1(3(0(2(1(0(0(1(2(0(0(2(z0))))))))))))), 1'(3(0(2(1(0(0(1(2(0(0(2(z0)))))))))))), 3'(0(2(1(0(0(1(2(0(0(2(z0))))))))))), 0'(2(1(0(0(1(2(0(0(2(z0)))))))))), 2'(1(0(0(1(2(0(0(2(z0))))))))), 1'(0(0(1(2(0(0(2(z0)))))))), 0'(0(1(2(0(0(2(z0))))))), 0'(1(2(0(0(2(z0)))))), 1'(2(0(0(2(z0))))), 2'(0(0(2(z0)))), 0'(0(2(z0))), 0'(2(z0)), 2'(z0))
   0'(c_1(c_0(c_2(c_2(c_1(c_2(c_1(c_3(c_1(c_1(c_2(c_0(c_1(c_2(c_0(c_1(c_0(z0)))))))))))))))))) -> c13(2'(0(0(3(1(2(2(1(2(0(1(0(1(2(1(1(1(0(z0)))))))))))))))))), 0'(0(3(1(2(2(1(2(0(1(0(1(2(1(1(1(0(z0))))))))))))))))), 0'(3(1(2(2(1(2(0(1(0(1(2(1(1(1(0(z0)))))))))))))))), 3'(1(2(2(1(2(0(1(0(1(2(1(1(1(0(z0))))))))))))))), 1'(2(2(1(2(0(1(0(1(2(1(1(1(0(z0)))))))))))))), 2'(2(1(2(0(1(0(1(2(1(1(1(0(z0))))))))))))), 2'(1(2(0(1(0(1(2(1(1(1(0(z0)))))))))))), 1'(2(0(1(0(1(2(1(1(1(0(z0))))))))))), 2'(0(1(0(1(2(1(1(1(0(z0)))))))))), 0'(1(0(1(2(1(1(1(0(z0))))))))), 1'(0(1(2(1(1(1(0(z0)))))))), 0'(1(2(1(1(1(0(z0))))))), 1'(2(1(1(1(0(z0)))))), 2'(1(1(1(0(z0))))), 1'(1(1(0(z0)))), 1'(1(0(z0))), 1'(0(z0)), 0'(z0))
   0'(c_2(c_1(c_0(c_2(c_0(c_3(c_0(c_1(c_0(c_2(c_0(c_2(c_0(c_1(c_2(c_0(c_3(z0)))))))))))))))))) -> c14(0'(2(1(2(0(2(1(2(0(3(0(0(3(2(1(0(0(0(z0)))))))))))))))))), 2'(1(2(0(2(1(2(0(3(0(0(3(2(1(0(0(0(z0))))))))))))))))), 1'(2(0(2(1(2(0(3(0(0(3(2(1(0(0(0(z0)))))))))))))))), 2'(0(2(1(2(0(3(0(0(3(2(1(0(0(0(z0))))))))))))))), 0'(2(1(2(0(3(0(0(3(2(1(0(0(0(z0)))))))))))))), 2'(1(2(0(3(0(0(3(2(1(0(0(0(z0))))))))))))), 1'(2(0(3(0(0(3(2(1(0(0(0(z0)))))))))))), 2'(0(3(0(0(3(2(1(0(0(0(z0))))))))))), 0'(3(0(0(3(2(1(0(0(0(z0)))))))))), 3'(0(0(3(2(1(0(0(0(z0))))))))), 0'(0(3(2(1(0(0(0(z0)))))))), 0'(3(2(1(0(0(0(z0))))))), 3'(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))
   0'(c_1(c_2(c_3(c_3(c_3(c_1(c_3(c_3(c_3(c_2(c_3(c_1(c_2(c_0(c_1(c_3(c_1(z0)))))))))))))))))) -> c15(2'(3(0(3(3(3(1(1(3(0(3(1(3(2(3(1(2(1(z0)))))))))))))))))), 3'(0(3(3(3(1(1(3(0(3(1(3(2(3(1(2(1(z0))))))))))))))))), 0'(3(3(3(1(1(3(0(3(1(3(2(3(1(2(1(z0)))))))))))))))), 3'(3(3(1(1(3(0(3(1(3(2(3(1(2(1(z0))))))))))))))), 3'(3(1(1(3(0(3(1(3(2(3(1(2(1(z0)))))))))))))), 3'(1(1(3(0(3(1(3(2(3(1(2(1(z0))))))))))))), 1'(1(3(0(3(1(3(2(3(1(2(1(z0)))))))))))), 1'(3(0(3(1(3(2(3(1(2(1(z0))))))))))), 3'(0(3(1(3(2(3(1(2(1(z0)))))))))), 0'(3(1(3(2(3(1(2(1(z0))))))))), 3'(1(3(2(3(1(2(1(z0)))))))), 1'(3(2(3(1(2(1(z0))))))), 3'(2(3(1(2(1(z0)))))), 2'(3(1(2(1(z0))))), 3'(1(2(1(z0)))), 1'(2(1(z0))), 2'(1(z0)), 1'(z0))
   0'(c_1(c_1(c_1(c_3(c_0(c_1(c_3(c_1(c_2(c_0(c_2(c_1(c_2(c_2(c_0(c_3(c_0(z0)))))))))))))))))) -> c16(3'(0(3(2(2(1(1(1(2(0(1(1(2(1(3(0(0(0(z0)))))))))))))))))), 0'(3(2(2(1(1(1(2(0(1(1(2(1(3(0(0(0(z0))))))))))))))))), 3'(2(2(1(1(1(2(0(1(1(2(1(3(0(0(0(z0)))))))))))))))), 2'(2(1(1(1(2(0(1(1(2(1(3(0(0(0(z0))))))))))))))), 2'(1(1(1(2(0(1(1(2(1(3(0(0(0(z0)))))))))))))), 1'(1(1(2(0(1(1(2(1(3(0(0(0(z0))))))))))))), 1'(1(2(0(1(1(2(1(3(0(0(0(z0)))))))))))), 1'(2(0(1(1(2(1(3(0(0(0(z0))))))))))), 2'(0(1(1(2(1(3(0(0(0(z0)))))))))), 0'(1(1(2(1(3(0(0(0(z0))))))))), 1'(1(2(1(3(0(0(0(z0)))))))), 1'(2(1(3(0(0(0(z0))))))), 2'(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_1(c_3(c_2(c_3(c_1(c_1(c_3(c_2(c_2(c_0(c_0(c_1(c_3(c_2(c_3(c_3(c_3(z0)))))))))))))))))) -> c17(2'(3(0(3(3(3(1(0(0(1(2(1(3(2(3(2(1(3(z0)))))))))))))))))), 3'(0(3(3(3(1(0(0(1(2(1(3(2(3(2(1(3(z0))))))))))))))))), 0'(3(3(3(1(0(0(1(2(1(3(2(3(2(1(3(z0)))))))))))))))), 3'(3(3(1(0(0(1(2(1(3(2(3(2(1(3(z0))))))))))))))), 3'(3(1(0(0(1(2(1(3(2(3(2(1(3(z0)))))))))))))), 3'(1(0(0(1(2(1(3(2(3(2(1(3(z0))))))))))))), 1'(0(0(1(2(1(3(2(3(2(1(3(z0)))))))))))), 0'(0(1(2(1(3(2(3(2(1(3(z0))))))))))), 0'(1(2(1(3(2(3(2(1(3(z0)))))))))), 1'(2(1(3(2(3(2(1(3(z0))))))))), 2'(1(3(2(3(2(1(3(z0)))))))), 1'(3(2(3(2(1(3(z0))))))), 3'(2(3(2(1(3(z0)))))), 2'(3(2(1(3(z0))))), 3'(2(1(3(z0)))), 2'(1(3(z0))), 1'(3(z0)), 3'(z0))
   0'(c_1(c_0(c_0(c_2(c_2(c_2(c_3(c_2(c_1(c_3(c_2(c_3(c_3(c_1(c_0(c_1(c_0(z0)))))))))))))))))) -> c18(0'(1(2(3(0(3(3(0(2(0(1(0(2(1(3(2(1(2(z0)))))))))))))))))), 1'(2(3(0(3(3(0(2(0(1(0(2(1(3(2(1(2(z0))))))))))))))))), 2'(3(0(3(3(0(2(0(1(0(2(1(3(2(1(2(z0)))))))))))))))), 3'(0(3(3(0(2(0(1(0(2(1(3(2(1(2(z0))))))))))))))), 0'(3(3(0(2(0(1(0(2(1(3(2(1(2(z0)))))))))))))), 3'(3(0(2(0(1(0(2(1(3(2(1(2(z0))))))))))))), 3'(0(2(0(1(0(2(1(3(2(1(2(z0)))))))))))), 0'(2(0(1(0(2(1(3(2(1(2(z0))))))))))), 2'(0(1(0(2(1(3(2(1(2(z0)))))))))), 0'(1(0(2(1(3(2(1(2(z0))))))))), 1'(0(2(1(3(2(1(2(z0)))))))), 0'(2(1(3(2(1(2(z0))))))), 2'(1(3(2(1(2(z0)))))), 1'(3(2(1(2(z0))))), 3'(2(1(2(z0)))), 2'(1(2(z0))), 1'(2(z0)), 2'(z0))
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   3'(c_3(c_0(c_2(c_0(c_2(c_0(c_1(c_2(c_0(c_2(c_3(c_0(c_2(c_2(c_0(c_3(c_3(z0)))))))))))))))))) -> c85(3'(2(0(3(2(0(0(0(3(0(3(2(2(2(1(2(0(3(z0)))))))))))))))))), 2'(0(3(2(0(0(0(3(0(3(2(2(2(1(2(0(3(z0))))))))))))))))), 0'(3(2(0(0(0(3(0(3(2(2(2(1(2(0(3(z0)))))))))))))))), 3'(2(0(0(0(3(0(3(2(2(2(1(2(0(3(z0))))))))))))))), 2'(0(0(0(3(0(3(2(2(2(1(2(0(3(z0)))))))))))))), 0'(0(0(3(0(3(2(2(2(1(2(0(3(z0))))))))))))), 0'(0(3(0(3(2(2(2(1(2(0(3(z0)))))))))))), 0'(3(0(3(2(2(2(1(2(0(3(z0))))))))))), 3'(0(3(2(2(2(1(2(0(3(z0)))))))))), 0'(3(2(2(2(1(2(0(3(z0))))))))), 3'(2(2(2(1(2(0(3(z0)))))))), 2'(2(2(1(2(0(3(z0))))))), 2'(2(1(2(0(3(z0)))))), 2'(1(2(0(3(z0))))), 1'(2(0(3(z0)))), 2'(0(3(z0))), 0'(3(z0)), 3'(z0))
   3'(c_2(c_2(c_1(c_2(c_2(c_3(c_1(c_1(c_2(c_0(c_1(c_3(c_1(c_2(c_2(c_1(c_1(z0)))))))))))))))))) -> c86(3'(1(1(1(2(2(1(3(2(3(2(2(1(1(2(0(2(1(z0)))))))))))))))))), 1'(1(1(2(2(1(3(2(3(2(2(1(1(2(0(2(1(z0))))))))))))))))), 1'(1(2(2(1(3(2(3(2(2(1(1(2(0(2(1(z0)))))))))))))))), 1'(2(2(1(3(2(3(2(2(1(1(2(0(2(1(z0))))))))))))))), 2'(2(1(3(2(3(2(2(1(1(2(0(2(1(z0)))))))))))))), 2'(1(3(2(3(2(2(1(1(2(0(2(1(z0))))))))))))), 1'(3(2(3(2(2(1(1(2(0(2(1(z0)))))))))))), 3'(2(3(2(2(1(1(2(0(2(1(z0))))))))))), 2'(3(2(2(1(1(2(0(2(1(z0)))))))))), 3'(2(2(1(1(2(0(2(1(z0))))))))), 2'(2(1(1(2(0(2(1(z0)))))))), 2'(1(1(2(0(2(1(z0))))))), 1'(1(2(0(2(1(z0)))))), 1'(2(0(2(1(z0))))), 2'(0(2(1(z0)))), 0'(2(1(z0))), 2'(1(z0)), 1'(z0))
   3'(c_2(c_2(c_2(c_3(c_2(c_3(c_0(c_1(c_3(c_2(c_1(c_3(c_2(c_3(c_0(c_2(c_1(z0)))))))))))))))))) -> c87(0'(0(3(3(2(1(2(1(3(3(3(3(2(2(2(2(2(1(z0)))))))))))))))))), 0'(3(3(2(1(2(1(3(3(3(3(2(2(2(2(2(1(z0))))))))))))))))), 3'(3(2(1(2(1(3(3(3(3(2(2(2(2(2(1(z0)))))))))))))))), 3'(2(1(2(1(3(3(3(3(2(2(2(2(2(1(z0))))))))))))))), 2'(1(2(1(3(3(3(3(2(2(2(2(2(1(z0)))))))))))))), 1'(2(1(3(3(3(3(2(2(2(2(2(1(z0))))))))))))), 2'(1(3(3(3(3(2(2(2(2(2(1(z0)))))))))))), 1'(3(3(3(3(2(2(2(2(2(1(z0))))))))))), 3'(3(3(3(2(2(2(2(2(1(z0)))))))))), 3'(3(3(2(2(2(2(2(1(z0))))))))), 3'(3(2(2(2(2(2(1(z0)))))))), 3'(2(2(2(2(2(1(z0))))))), 2'(2(2(2(2(1(z0)))))), 2'(2(2(2(1(z0))))), 2'(2(2(1(z0)))), 2'(2(1(z0))), 2'(1(z0)), 1'(z0))
   3'(c_1(c_3(c_2(c_1(c_1(c_3(c_1(c_2(c_2(c_1(c_3(c_2(c_3(c_1(c_0(c_3(c_1(z0)))))))))))))))))) -> c88(3'(1(3(3(1(2(0(1(1(2(2(1(3(3(2(3(1(1(z0)))))))))))))))))), 1'(3(3(1(2(0(1(1(2(2(1(3(3(2(3(1(1(z0))))))))))))))))), 3'(3(1(2(0(1(1(2(2(1(3(3(2(3(1(1(z0)))))))))))))))), 3'(1(2(0(1(1(2(2(1(3(3(2(3(1(1(z0))))))))))))))), 1'(2(0(1(1(2(2(1(3(3(2(3(1(1(z0)))))))))))))), 2'(0(1(1(2(2(1(3(3(2(3(1(1(z0))))))))))))), 0'(1(1(2(2(1(3(3(2(3(1(1(z0)))))))))))), 1'(1(2(2(1(3(3(2(3(1(1(z0))))))))))), 1'(2(2(1(3(3(2(3(1(1(z0)))))))))), 2'(2(1(3(3(2(3(1(1(z0))))))))), 2'(1(3(3(2(3(1(1(z0)))))))), 1'(3(3(2(3(1(1(z0))))))), 3'(3(2(3(1(1(z0)))))), 3'(2(3(1(1(z0))))), 2'(3(1(1(z0)))), 3'(1(1(z0))), 1'(1(z0)), 1'(z0))
   3'(c_2(c_1(c_3(c_1(c_2(c_2(c_2(c_3(c_3(c_0(c_2(c_1(c_3(c_0(c_2(c_0(c_2(z0)))))))))))))))))) -> c89(3'(3(3(2(3(2(2(0(2(2(1(0(3(2(1(2(1(0(z0)))))))))))))))))), 3'(3(2(3(2(2(0(2(2(1(0(3(2(1(2(1(0(z0))))))))))))))))), 3'(2(3(2(2(0(2(2(1(0(3(2(1(2(1(0(z0)))))))))))))))), 2'(3(2(2(0(2(2(1(0(3(2(1(2(1(0(z0))))))))))))))), 3'(2(2(0(2(2(1(0(3(2(1(2(1(0(z0)))))))))))))), 2'(2(0(2(2(1(0(3(2(1(2(1(0(z0))))))))))))), 2'(0(2(2(1(0(3(2(1(2(1(0(z0)))))))))))), 0'(2(2(1(0(3(2(1(2(1(0(z0))))))))))), 2'(2(1(0(3(2(1(2(1(0(z0)))))))))), 2'(1(0(3(2(1(2(1(0(z0))))))))), 1'(0(3(2(1(2(1(0(z0)))))))), 0'(3(2(1(2(1(0(z0))))))), 3'(2(1(2(1(0(z0)))))), 2'(1(2(1(0(z0))))), 1'(2(1(0(z0)))), 2'(1(0(z0))), 1'(0(z0)), 0'(z0))
   3'(c_1(c_0(c_0(c_3(c_0(c_0(c_0(c_0(c_1(c_2(c_0(c_2(c_0(c_2(c_0(c_0(c_1(z0)))))))))))))))))) -> c90(3'(0(0(0(0(0(2(0(0(0(0(3(0(2(1(1(2(1(z0)))))))))))))))))), 0'(0(0(0(0(2(0(0(0(0(3(0(2(1(1(2(1(z0))))))))))))))))), 0'(0(0(0(2(0(0(0(0(3(0(2(1(1(2(1(z0)))))))))))))))), 0'(0(0(2(0(0(0(0(3(0(2(1(1(2(1(z0))))))))))))))), 0'(0(2(0(0(0(0(3(0(2(1(1(2(1(z0)))))))))))))), 0'(2(0(0(0(0(3(0(2(1(1(2(1(z0))))))))))))), 2'(0(0(0(0(3(0(2(1(1(2(1(z0)))))))))))), 0'(0(0(0(3(0(2(1(1(2(1(z0))))))))))), 0'(0(0(3(0(2(1(1(2(1(z0)))))))))), 0'(0(3(0(2(1(1(2(1(z0))))))))), 0'(3(0(2(1(1(2(1(z0)))))))), 3'(0(2(1(1(2(1(z0))))))), 0'(2(1(1(2(1(z0)))))), 2'(1(1(2(1(z0))))), 1'(1(2(1(z0)))), 1'(2(1(z0))), 2'(1(z0)), 1'(z0))
   3'(c_3(c_0(c_3(c_1(c_0(c_0(c_2(c_2(c_2(c_0(c_0(c_0(c_2(c_2(c_1(c_3(c_2(z0)))))))))))))))))) -> c91(0'(3(2(0(3(3(1(2(1(2(2(0(3(0(0(0(2(2(z0)))))))))))))))))), 3'(2(0(3(3(1(2(1(2(2(0(3(0(0(0(2(2(z0))))))))))))))))), 2'(0(3(3(1(2(1(2(2(0(3(0(0(0(2(2(z0)))))))))))))))), 0'(3(3(1(2(1(2(2(0(3(0(0(0(2(2(z0))))))))))))))), 3'(3(1(2(1(2(2(0(3(0(0(0(2(2(z0)))))))))))))), 3'(1(2(1(2(2(0(3(0(0(0(2(2(z0))))))))))))), 1'(2(1(2(2(0(3(0(0(0(2(2(z0)))))))))))), 2'(1(2(2(0(3(0(0(0(2(2(z0))))))))))), 1'(2(2(0(3(0(0(0(2(2(z0)))))))))), 2'(2(0(3(0(0(0(2(2(z0))))))))), 2'(0(3(0(0(0(2(2(z0)))))))), 0'(3(0(0(0(2(2(z0))))))), 3'(0(0(0(2(2(z0)))))), 0'(0(0(2(2(z0))))), 0'(0(2(2(z0)))), 0'(2(2(z0))), 2'(2(z0)), 2'(z0))
   ENCODE_0(z0) -> c8(0'(encArg(z0)))
   ENCODE_1(z0) -> c8(1'(encArg(z0)))
   ENCODE_3(z0) -> c8(3'(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_2(c_0(c_3(c_3(c_2(c_3(c_1(c_3(c_1(c_0(c_2(c_1(c_3(c_0(c_2(c_0(z0)))))))))))))))))) -> c9(0'(0(1(1(3(0(3(3(1(2(0(2(3(0(2(2(0(3(z0)))))))))))))))))), 0'(1(1(3(0(3(3(1(2(0(2(3(0(2(2(0(3(z0))))))))))))))))), 1'(1(3(0(3(3(1(2(0(2(3(0(2(2(0(3(z0)))))))))))))))), 1'(3(0(3(3(1(2(0(2(3(0(2(2(0(3(z0))))))))))))))), 3'(0(3(3(1(2(0(2(3(0(2(2(0(3(z0)))))))))))))), 0'(3(3(1(2(0(2(3(0(2(2(0(3(z0))))))))))))), 3'(3(1(2(0(2(3(0(2(2(0(3(z0)))))))))))), 3'(1(2(0(2(3(0(2(2(0(3(z0))))))))))), 1'(2(0(2(3(0(2(2(0(3(z0)))))))))), 2'(0(2(3(0(2(2(0(3(z0))))))))), 0'(2(3(0(2(2(0(3(z0)))))))), 2'(3(0(2(2(0(3(z0))))))), 3'(0(2(2(0(3(z0)))))), 0'(2(2(0(3(z0))))), 2'(2(0(3(z0)))), 2'(0(3(z0))), 0'(3(z0)), 3'(z0))
   0'(c_0(c_2(c_0(c_3(c_0(c_2(c_2(c_3(c_0(c_2(c_0(c_0(c_2(c_3(c_0(c_0(c_2(z0)))))))))))))))))) -> c10(0'(0(3(2(2(0(2(0(0(0(2(2(0(3(0(0(3(2(z0)))))))))))))))))), 0'(3(2(2(0(2(0(0(0(2(2(0(3(0(0(3(2(z0))))))))))))))))), 3'(2(2(0(2(0(0(0(2(2(0(3(0(0(3(2(z0)))))))))))))))), 2'(2(0(2(0(0(0(2(2(0(3(0(0(3(2(z0))))))))))))))), 2'(0(2(0(0(0(2(2(0(3(0(0(3(2(z0)))))))))))))), 0'(2(0(0(0(2(2(0(3(0(0(3(2(z0))))))))))))), 2'(0(0(0(2(2(0(3(0(0(3(2(z0)))))))))))), 0'(0(0(2(2(0(3(0(0(3(2(z0))))))))))), 0'(0(2(2(0(3(0(0(3(2(z0)))))))))), 0'(2(2(0(3(0(0(3(2(z0))))))))), 2'(2(0(3(0(0(3(2(z0)))))))), 2'(0(3(0(0(3(2(z0))))))), 0'(3(0(0(3(2(z0)))))), 3'(0(0(3(2(z0))))), 0'(0(3(2(z0)))), 0'(3(2(z0))), 3'(2(z0)), 2'(z0))
   0'(c_0(c_0(c_1(c_3(c_3(c_2(c_2(c_3(c_0(c_0(c_1(c_3(c_2(c_2(c_3(c_3(c_2(z0)))))))))))))))))) -> c11(3'(0(2(3(0(3(0(3(0(0(1(2(3(3(1(2(2(2(z0)))))))))))))))))), 0'(2(3(0(3(0(3(0(0(1(2(3(3(1(2(2(2(z0))))))))))))))))), 2'(3(0(3(0(3(0(0(1(2(3(3(1(2(2(2(z0)))))))))))))))), 3'(0(3(0(3(0(0(1(2(3(3(1(2(2(2(z0))))))))))))))), 0'(3(0(3(0(0(1(2(3(3(1(2(2(2(z0)))))))))))))), 3'(0(3(0(0(1(2(3(3(1(2(2(2(z0))))))))))))), 0'(3(0(0(1(2(3(3(1(2(2(2(z0)))))))))))), 3'(0(0(1(2(3(3(1(2(2(2(z0))))))))))), 0'(0(1(2(3(3(1(2(2(2(z0)))))))))), 0'(1(2(3(3(1(2(2(2(z0))))))))), 1'(2(3(3(1(2(2(2(z0)))))))), 2'(3(3(1(2(2(2(z0))))))), 3'(3(1(2(2(2(z0)))))), 3'(1(2(2(2(z0))))), 1'(2(2(2(z0)))), 2'(2(2(z0))), 2'(2(z0)), 2'(z0))
   0'(c_0(c_0(c_2(c_2(c_3(c_0(c_0(c_1(c_0(c_0(c_0(c_1(c_0(c_3(c_1(c_2(c_2(z0)))))))))))))))))) -> c12(0'(0(0(3(2(0(1(3(0(2(1(0(0(1(2(0(0(2(z0)))))))))))))))))), 0'(0(3(2(0(1(3(0(2(1(0(0(1(2(0(0(2(z0))))))))))))))))), 0'(3(2(0(1(3(0(2(1(0(0(1(2(0(0(2(z0)))))))))))))))), 3'(2(0(1(3(0(2(1(0(0(1(2(0(0(2(z0))))))))))))))), 2'(0(1(3(0(2(1(0(0(1(2(0(0(2(z0)))))))))))))), 0'(1(3(0(2(1(0(0(1(2(0(0(2(z0))))))))))))), 1'(3(0(2(1(0(0(1(2(0(0(2(z0)))))))))))), 3'(0(2(1(0(0(1(2(0(0(2(z0))))))))))), 0'(2(1(0(0(1(2(0(0(2(z0)))))))))), 2'(1(0(0(1(2(0(0(2(z0))))))))), 1'(0(0(1(2(0(0(2(z0)))))))), 0'(0(1(2(0(0(2(z0))))))), 0'(1(2(0(0(2(z0)))))), 1'(2(0(0(2(z0))))), 2'(0(0(2(z0)))), 0'(0(2(z0))), 0'(2(z0)), 2'(z0))
   0'(c_1(c_0(c_2(c_2(c_1(c_2(c_1(c_3(c_1(c_1(c_2(c_0(c_1(c_2(c_0(c_1(c_0(z0)))))))))))))))))) -> c13(2'(0(0(3(1(2(2(1(2(0(1(0(1(2(1(1(1(0(z0)))))))))))))))))), 0'(0(3(1(2(2(1(2(0(1(0(1(2(1(1(1(0(z0))))))))))))))))), 0'(3(1(2(2(1(2(0(1(0(1(2(1(1(1(0(z0)))))))))))))))), 3'(1(2(2(1(2(0(1(0(1(2(1(1(1(0(z0))))))))))))))), 1'(2(2(1(2(0(1(0(1(2(1(1(1(0(z0)))))))))))))), 2'(2(1(2(0(1(0(1(2(1(1(1(0(z0))))))))))))), 2'(1(2(0(1(0(1(2(1(1(1(0(z0)))))))))))), 1'(2(0(1(0(1(2(1(1(1(0(z0))))))))))), 2'(0(1(0(1(2(1(1(1(0(z0)))))))))), 0'(1(0(1(2(1(1(1(0(z0))))))))), 1'(0(1(2(1(1(1(0(z0)))))))), 0'(1(2(1(1(1(0(z0))))))), 1'(2(1(1(1(0(z0)))))), 2'(1(1(1(0(z0))))), 1'(1(1(0(z0)))), 1'(1(0(z0))), 1'(0(z0)), 0'(z0))
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   3'(c_0(c_2(c_2(c_3(c_2(c_2(c_3(c_2(c_2(c_3(c_3(c_2(c_0(c_1(c_3(c_2(c_3(z0)))))))))))))))))) -> c82(0'(3(3(2(1(3(3(2(2(3(2(2(2(0(3(2(2(3(z0)))))))))))))))))), 3'(3(2(1(3(3(2(2(3(2(2(2(0(3(2(2(3(z0))))))))))))))))), 3'(2(1(3(3(2(2(3(2(2(2(0(3(2(2(3(z0)))))))))))))))), 2'(1(3(3(2(2(3(2(2(2(0(3(2(2(3(z0))))))))))))))), 1'(3(3(2(2(3(2(2(2(0(3(2(2(3(z0)))))))))))))), 3'(3(2(2(3(2(2(2(0(3(2(2(3(z0))))))))))))), 3'(2(2(3(2(2(2(0(3(2(2(3(z0)))))))))))), 2'(2(3(2(2(2(0(3(2(2(3(z0))))))))))), 2'(3(2(2(2(0(3(2(2(3(z0)))))))))), 3'(2(2(2(0(3(2(2(3(z0))))))))), 2'(2(2(0(3(2(2(3(z0)))))))), 2'(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))
   3'(c_0(c_1(c_2(c_1(c_0(c_2(c_1(c_1(c_3(c_0(c_1(c_2(c_3(c_1(c_1(c_1(c_1(z0)))))))))))))))))) -> c83(3'(3(1(1(1(0(1(2(1(1(1(2(2(3(0(1(0(1(z0)))))))))))))))))), 3'(1(1(1(0(1(2(1(1(1(2(2(3(0(1(0(1(z0))))))))))))))))), 1'(1(1(0(1(2(1(1(1(2(2(3(0(1(0(1(z0)))))))))))))))), 1'(1(0(1(2(1(1(1(2(2(3(0(1(0(1(z0))))))))))))))), 1'(0(1(2(1(1(1(2(2(3(0(1(0(1(z0)))))))))))))), 0'(1(2(1(1(1(2(2(3(0(1(0(1(z0))))))))))))), 1'(2(1(1(1(2(2(3(0(1(0(1(z0)))))))))))), 2'(1(1(1(2(2(3(0(1(0(1(z0))))))))))), 1'(1(1(2(2(3(0(1(0(1(z0)))))))))), 1'(1(2(2(3(0(1(0(1(z0))))))))), 1'(2(2(3(0(1(0(1(z0)))))))), 2'(2(3(0(1(0(1(z0))))))), 2'(3(0(1(0(1(z0)))))), 3'(0(1(0(1(z0))))), 0'(1(0(1(z0)))), 1'(0(1(z0))), 0'(1(z0)), 1'(z0))
   3'(c_3(c_2(c_1(c_3(c_0(c_0(c_1(c_3(c_2(c_0(c_0(c_2(c_3(c_3(c_0(c_0(c_2(z0)))))))))))))))))) -> c84(3'(0(0(3(0(3(0(1(2(0(3(1(3(0(3(2(2(2(z0)))))))))))))))))), 0'(0(3(0(3(0(1(2(0(3(1(3(0(3(2(2(2(z0))))))))))))))))), 0'(3(0(3(0(1(2(0(3(1(3(0(3(2(2(2(z0)))))))))))))))), 3'(0(3(0(1(2(0(3(1(3(0(3(2(2(2(z0))))))))))))))), 0'(3(0(1(2(0(3(1(3(0(3(2(2(2(z0)))))))))))))), 3'(0(1(2(0(3(1(3(0(3(2(2(2(z0))))))))))))), 0'(1(2(0(3(1(3(0(3(2(2(2(z0)))))))))))), 1'(2(0(3(1(3(0(3(2(2(2(z0))))))))))), 2'(0(3(1(3(0(3(2(2(2(z0)))))))))), 0'(3(1(3(0(3(2(2(2(z0))))))))), 3'(1(3(0(3(2(2(2(z0)))))))), 1'(3(0(3(2(2(2(z0))))))), 3'(0(3(2(2(2(z0)))))), 0'(3(2(2(2(z0))))), 3'(2(2(2(z0)))), 2'(2(2(z0))), 2'(2(z0)), 2'(z0))
   3'(c_3(c_0(c_2(c_0(c_2(c_0(c_1(c_2(c_0(c_2(c_3(c_0(c_2(c_2(c_0(c_3(c_3(z0)))))))))))))))))) -> c85(3'(2(0(3(2(0(0(0(3(0(3(2(2(2(1(2(0(3(z0)))))))))))))))))), 2'(0(3(2(0(0(0(3(0(3(2(2(2(1(2(0(3(z0))))))))))))))))), 0'(3(2(0(0(0(3(0(3(2(2(2(1(2(0(3(z0)))))))))))))))), 3'(2(0(0(0(3(0(3(2(2(2(1(2(0(3(z0))))))))))))))), 2'(0(0(0(3(0(3(2(2(2(1(2(0(3(z0)))))))))))))), 0'(0(0(3(0(3(2(2(2(1(2(0(3(z0))))))))))))), 0'(0(3(0(3(2(2(2(1(2(0(3(z0)))))))))))), 0'(3(0(3(2(2(2(1(2(0(3(z0))))))))))), 3'(0(3(2(2(2(1(2(0(3(z0)))))))))), 0'(3(2(2(2(1(2(0(3(z0))))))))), 3'(2(2(2(1(2(0(3(z0)))))))), 2'(2(2(1(2(0(3(z0))))))), 2'(2(1(2(0(3(z0)))))), 2'(1(2(0(3(z0))))), 1'(2(0(3(z0)))), 2'(0(3(z0))), 0'(3(z0)), 3'(z0))
   3'(c_2(c_2(c_1(c_2(c_2(c_3(c_1(c_1(c_2(c_0(c_1(c_3(c_1(c_2(c_2(c_1(c_1(z0)))))))))))))))))) -> c86(3'(1(1(1(2(2(1(3(2(3(2(2(1(1(2(0(2(1(z0)))))))))))))))))), 1'(1(1(2(2(1(3(2(3(2(2(1(1(2(0(2(1(z0))))))))))))))))), 1'(1(2(2(1(3(2(3(2(2(1(1(2(0(2(1(z0)))))))))))))))), 1'(2(2(1(3(2(3(2(2(1(1(2(0(2(1(z0))))))))))))))), 2'(2(1(3(2(3(2(2(1(1(2(0(2(1(z0)))))))))))))), 2'(1(3(2(3(2(2(1(1(2(0(2(1(z0))))))))))))), 1'(3(2(3(2(2(1(1(2(0(2(1(z0)))))))))))), 3'(2(3(2(2(1(1(2(0(2(1(z0))))))))))), 2'(3(2(2(1(1(2(0(2(1(z0)))))))))), 3'(2(2(1(1(2(0(2(1(z0))))))))), 2'(2(1(1(2(0(2(1(z0)))))))), 2'(1(1(2(0(2(1(z0))))))), 1'(1(2(0(2(1(z0)))))), 1'(2(0(2(1(z0))))), 2'(0(2(1(z0)))), 0'(2(1(z0))), 2'(1(z0)), 1'(z0))
   3'(c_2(c_2(c_2(c_3(c_2(c_3(c_0(c_1(c_3(c_2(c_1(c_3(c_2(c_3(c_0(c_2(c_1(z0)))))))))))))))))) -> c87(0'(0(3(3(2(1(2(1(3(3(3(3(2(2(2(2(2(1(z0)))))))))))))))))), 0'(3(3(2(1(2(1(3(3(3(3(2(2(2(2(2(1(z0))))))))))))))))), 3'(3(2(1(2(1(3(3(3(3(2(2(2(2(2(1(z0)))))))))))))))), 3'(2(1(2(1(3(3(3(3(2(2(2(2(2(1(z0))))))))))))))), 2'(1(2(1(3(3(3(3(2(2(2(2(2(1(z0)))))))))))))), 1'(2(1(3(3(3(3(2(2(2(2(2(1(z0))))))))))))), 2'(1(3(3(3(3(2(2(2(2(2(1(z0)))))))))))), 1'(3(3(3(3(2(2(2(2(2(1(z0))))))))))), 3'(3(3(3(2(2(2(2(2(1(z0)))))))))), 3'(3(3(2(2(2(2(2(1(z0))))))))), 3'(3(2(2(2(2(2(1(z0)))))))), 3'(2(2(2(2(2(1(z0))))))), 2'(2(2(2(2(1(z0)))))), 2'(2(2(2(1(z0))))), 2'(2(2(1(z0)))), 2'(2(1(z0))), 2'(1(z0)), 1'(z0))
   3'(c_1(c_3(c_2(c_1(c_1(c_3(c_1(c_2(c_2(c_1(c_3(c_2(c_3(c_1(c_0(c_3(c_1(z0)))))))))))))))))) -> c88(3'(1(3(3(1(2(0(1(1(2(2(1(3(3(2(3(1(1(z0)))))))))))))))))), 1'(3(3(1(2(0(1(1(2(2(1(3(3(2(3(1(1(z0))))))))))))))))), 3'(3(1(2(0(1(1(2(2(1(3(3(2(3(1(1(z0)))))))))))))))), 3'(1(2(0(1(1(2(2(1(3(3(2(3(1(1(z0))))))))))))))), 1'(2(0(1(1(2(2(1(3(3(2(3(1(1(z0)))))))))))))), 2'(0(1(1(2(2(1(3(3(2(3(1(1(z0))))))))))))), 0'(1(1(2(2(1(3(3(2(3(1(1(z0)))))))))))), 1'(1(2(2(1(3(3(2(3(1(1(z0))))))))))), 1'(2(2(1(3(3(2(3(1(1(z0)))))))))), 2'(2(1(3(3(2(3(1(1(z0))))))))), 2'(1(3(3(2(3(1(1(z0)))))))), 1'(3(3(2(3(1(1(z0))))))), 3'(3(2(3(1(1(z0)))))), 3'(2(3(1(1(z0))))), 2'(3(1(1(z0)))), 3'(1(1(z0))), 1'(1(z0)), 1'(z0))
   3'(c_2(c_1(c_3(c_1(c_2(c_2(c_2(c_3(c_3(c_0(c_2(c_1(c_3(c_0(c_2(c_0(c_2(z0)))))))))))))))))) -> c89(3'(3(3(2(3(2(2(0(2(2(1(0(3(2(1(2(1(0(z0)))))))))))))))))), 3'(3(2(3(2(2(0(2(2(1(0(3(2(1(2(1(0(z0))))))))))))))))), 3'(2(3(2(2(0(2(2(1(0(3(2(1(2(1(0(z0)))))))))))))))), 2'(3(2(2(0(2(2(1(0(3(2(1(2(1(0(z0))))))))))))))), 3'(2(2(0(2(2(1(0(3(2(1(2(1(0(z0)))))))))))))), 2'(2(0(2(2(1(0(3(2(1(2(1(0(z0))))))))))))), 2'(0(2(2(1(0(3(2(1(2(1(0(z0)))))))))))), 0'(2(2(1(0(3(2(1(2(1(0(z0))))))))))), 2'(2(1(0(3(2(1(2(1(0(z0)))))))))), 2'(1(0(3(2(1(2(1(0(z0))))))))), 1'(0(3(2(1(2(1(0(z0)))))))), 0'(3(2(1(2(1(0(z0))))))), 3'(2(1(2(1(0(z0)))))), 2'(1(2(1(0(z0))))), 1'(2(1(0(z0)))), 2'(1(0(z0))), 1'(0(z0)), 0'(z0))
   3'(c_1(c_0(c_0(c_3(c_0(c_0(c_0(c_0(c_1(c_2(c_0(c_2(c_0(c_2(c_0(c_0(c_1(z0)))))))))))))))))) -> c90(3'(0(0(0(0(0(2(0(0(0(0(3(0(2(1(1(2(1(z0)))))))))))))))))), 0'(0(0(0(0(2(0(0(0(0(3(0(2(1(1(2(1(z0))))))))))))))))), 0'(0(0(0(2(0(0(0(0(3(0(2(1(1(2(1(z0)))))))))))))))), 0'(0(0(2(0(0(0(0(3(0(2(1(1(2(1(z0))))))))))))))), 0'(0(2(0(0(0(0(3(0(2(1(1(2(1(z0)))))))))))))), 0'(2(0(0(0(0(3(0(2(1(1(2(1(z0))))))))))))), 2'(0(0(0(0(3(0(2(1(1(2(1(z0)))))))))))), 0'(0(0(0(3(0(2(1(1(2(1(z0))))))))))), 0'(0(0(3(0(2(1(1(2(1(z0)))))))))), 0'(0(3(0(2(1(1(2(1(z0))))))))), 0'(3(0(2(1(1(2(1(z0)))))))), 3'(0(2(1(1(2(1(z0))))))), 0'(2(1(1(2(1(z0)))))), 2'(1(1(2(1(z0))))), 1'(1(2(1(z0)))), 1'(2(1(z0))), 2'(1(z0)), 1'(z0))
   3'(c_3(c_0(c_3(c_1(c_0(c_0(c_2(c_2(c_2(c_0(c_0(c_0(c_2(c_2(c_1(c_3(c_2(z0)))))))))))))))))) -> c91(0'(3(2(0(3(3(1(2(1(2(2(0(3(0(0(0(2(2(z0)))))))))))))))))), 3'(2(0(3(3(1(2(1(2(2(0(3(0(0(0(2(2(z0))))))))))))))))), 2'(0(3(3(1(2(1(2(2(0(3(0(0(0(2(2(z0)))))))))))))))), 0'(3(3(1(2(1(2(2(0(3(0(0(0(2(2(z0))))))))))))))), 3'(3(1(2(1(2(2(0(3(0(0(0(2(2(z0)))))))))))))), 3'(1(2(1(2(2(0(3(0(0(0(2(2(z0))))))))))))), 1'(2(1(2(2(0(3(0(0(0(2(2(z0)))))))))))), 2'(1(2(2(0(3(0(0(0(2(2(z0))))))))))), 1'(2(2(0(3(0(0(0(2(2(z0)))))))))), 2'(2(0(3(0(0(0(2(2(z0))))))))), 2'(0(3(0(0(0(2(2(z0)))))))), 0'(3(0(0(0(2(2(z0))))))), 3'(0(0(0(2(2(z0)))))), 0'(0(0(2(2(z0))))), 0'(0(2(2(z0)))), 0'(2(2(z0))), 2'(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_1_1, ENCODE_3_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, c30_18, c31_18, c32_18, c33_18, c34_18, c35_18, c36_18, c37_18, c38_18, c39_18, c40_18, c41_18, c42_18, c44_18, c45_18, c46_18, c47_18, c48_18, c49_18, c50_18, c51_18, c52_18, c53_18, c54_18, c55_18, c56_18, c57_18, c58_18, c59_18, c60_18, c61_18, c62_18, c63_18, c64_18, c65_18, c67_18, c68_18, c69_18, c70_18, c71_18, c72_18, c73_18, c74_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_2(c_0(c_3(c_3(c_2(c_3(c_1(c_3(c_1(c_0(c_2(c_1(c_3(c_0(c_2(c_0(z0)))))))))))))))))) -> c9(0'(0(1(1(3(0(3(3(1(2(0(2(3(0(2(2(0(3(z0)))))))))))))))))), 0'(1(1(3(0(3(3(1(2(0(2(3(0(2(2(0(3(z0))))))))))))))))), 1'(1(3(0(3(3(1(2(0(2(3(0(2(2(0(3(z0)))))))))))))))), 1'(3(0(3(3(1(2(0(2(3(0(2(2(0(3(z0))))))))))))))), 3'(0(3(3(1(2(0(2(3(0(2(2(0(3(z0)))))))))))))), 0'(3(3(1(2(0(2(3(0(2(2(0(3(z0))))))))))))), 3'(3(1(2(0(2(3(0(2(2(0(3(z0)))))))))))), 3'(1(2(0(2(3(0(2(2(0(3(z0))))))))))), 1'(2(0(2(3(0(2(2(0(3(z0)))))))))), 2'(0(2(3(0(2(2(0(3(z0))))))))), 0'(2(3(0(2(2(0(3(z0)))))))), 2'(3(0(2(2(0(3(z0))))))), 3'(0(2(2(0(3(z0)))))), 0'(2(2(0(3(z0))))), 2'(2(0(3(z0)))), 2'(0(3(z0))), 0'(3(z0)), 3'(z0)) by 
   0'(c_0(c_2(c_0(c_3(c_3(c_2(c_3(c_1(c_3(c_1(c_0(c_2(c_1(c_3(c_0(c_2(c_0(x0)))))))))))))))))) -> c9(0'(c_0(1(1(3(0(3(3(1(2(0(2(3(0(2(2(0(3(x0)))))))))))))))))), 0'(1(1(3(0(3(3(1(2(0(2(3(0(2(2(0(3(x0))))))))))))))))), 1'(1(3(0(3(3(1(2(0(2(3(0(2(2(0(3(x0)))))))))))))))), 1'(3(0(3(3(1(2(0(2(3(0(2(2(0(3(x0))))))))))))))), 3'(0(3(3(1(2(0(2(3(0(2(2(0(3(x0)))))))))))))), 0'(3(3(1(2(0(2(3(0(2(2(0(3(x0))))))))))))), 3'(3(1(2(0(2(3(0(2(2(0(3(x0)))))))))))), 3'(1(2(0(2(3(0(2(2(0(3(x0))))))))))), 1'(2(0(2(3(0(2(2(0(3(x0)))))))))), 2'(0(2(3(0(2(2(0(3(x0))))))))), 0'(2(3(0(2(2(0(3(x0)))))))), 2'(3(0(2(2(0(3(x0))))))), 3'(0(2(2(0(3(x0)))))), 0'(2(2(0(3(x0))))), 2'(2(0(3(x0)))), 2'(0(3(x0))), 0'(3(x0)), 3'(x0))
   0'(c_0(c_2(c_0(c_3(c_3(c_2(c_3(c_1(c_3(c_1(c_0(c_2(c_1(c_3(c_0(c_2(c_0(x0)))))))))))))))))) -> c9(0'(0(c_1(1(3(0(3(3(1(2(0(2(3(0(2(2(0(3(x0)))))))))))))))))), 0'(1(1(3(0(3(3(1(2(0(2(3(0(2(2(0(3(x0))))))))))))))))), 1'(1(3(0(3(3(1(2(0(2(3(0(2(2(0(3(x0)))))))))))))))), 1'(3(0(3(3(1(2(0(2(3(0(2(2(0(3(x0))))))))))))))), 3'(0(3(3(1(2(0(2(3(0(2(2(0(3(x0)))))))))))))), 0'(3(3(1(2(0(2(3(0(2(2(0(3(x0))))))))))))), 3'(3(1(2(0(2(3(0(2(2(0(3(x0)))))))))))), 3'(1(2(0(2(3(0(2(2(0(3(x0))))))))))), 1'(2(0(2(3(0(2(2(0(3(x0)))))))))), 2'(0(2(3(0(2(2(0(3(x0))))))))), 0'(2(3(0(2(2(0(3(x0)))))))), 2'(3(0(2(2(0(3(x0))))))), 3'(0(2(2(0(3(x0)))))), 0'(2(2(0(3(x0))))), 2'(2(0(3(x0)))), 2'(0(3(x0))), 0'(3(x0)), 3'(x0))
   0'(c_0(c_2(c_0(c_3(c_3(c_2(c_3(c_1(c_3(c_1(c_0(c_2(c_1(c_3(c_0(c_2(c_0(x0)))))))))))))))))) -> c9(0'(0(1(c_1(3(0(3(3(1(2(0(2(3(0(2(2(0(3(x0)))))))))))))))))), 0'(1(1(3(0(3(3(1(2(0(2(3(0(2(2(0(3(x0))))))))))))))))), 1'(1(3(0(3(3(1(2(0(2(3(0(2(2(0(3(x0)))))))))))))))), 1'(3(0(3(3(1(2(0(2(3(0(2(2(0(3(x0))))))))))))))), 3'(0(3(3(1(2(0(2(3(0(2(2(0(3(x0)))))))))))))), 0'(3(3(1(2(0(2(3(0(2(2(0(3(x0))))))))))))), 3'(3(1(2(0(2(3(0(2(2(0(3(x0)))))))))))), 3'(1(2(0(2(3(0(2(2(0(3(x0))))))))))), 1'(2(0(2(3(0(2(2(0(3(x0)))))))))), 2'(0(2(3(0(2(2(0(3(x0))))))))), 0'(2(3(0(2(2(0(3(x0)))))))), 2'(3(0(2(2(0(3(x0))))))), 3'(0(2(2(0(3(x0)))))), 0'(2(2(0(3(x0))))), 2'(2(0(3(x0)))), 2'(0(3(x0))), 0'(3(x0)), 3'(x0))
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   0'(c_0(c_2(c_0(c_3(c_3(c_2(c_3(c_1(c_3(c_1(c_0(c_2(c_1(c_3(c_0(c_2(c_0(c_1(c_0(c_0(c_3(c_0(c_0(c_0(c_0(c_1(c_2(c_0(c_2(c_0(c_2(c_0(c_0(c_1(z0))))))))))))))))))))))))))))))))))) -> c9(0'(0(1(1(3(0(3(3(1(2(0(2(3(0(2(2(0(3(0(0(0(0(0(2(0(0(0(0(3(0(2(1(1(2(1(z0))))))))))))))))))))))))))))))))))), 0'(1(1(3(0(3(3(1(2(0(2(3(0(2(2(0(3(c_1(c_0(c_0(c_3(c_0(c_0(c_0(c_0(c_1(c_2(c_0(c_2(c_0(c_2(c_0(c_0(c_1(z0)))))))))))))))))))))))))))))))))), 1'(1(3(0(3(3(1(2(0(2(3(0(2(2(0(3(c_1(c_0(c_0(c_3(c_0(c_0(c_0(c_0(c_1(c_2(c_0(c_2(c_0(c_2(c_0(c_0(c_1(z0))))))))))))))))))))))))))))))))), 1'(3(0(3(3(1(2(0(2(3(0(2(2(0(3(c_1(c_0(c_0(c_3(c_0(c_0(c_0(c_0(c_1(c_2(c_0(c_2(c_0(c_2(c_0(c_0(c_1(z0)))))))))))))))))))))))))))))))), 3'(0(3(3(1(2(0(2(3(0(2(2(0(3(c_1(c_0(c_0(c_3(c_0(c_0(c_0(c_0(c_1(c_2(c_0(c_2(c_0(c_2(c_0(c_0(c_1(z0))))))))))))))))))))))))))))))), 0'(3(3(1(2(0(2(3(0(2(2(0(3(c_1(c_0(c_0(c_3(c_0(c_0(c_0(c_0(c_1(c_2(c_0(c_2(c_0(c_2(c_0(c_0(c_1(z0)))))))))))))))))))))))))))))), 3'(3(1(2(0(2(3(0(2(2(0(3(c_1(c_0(c_0(c_3(c_0(c_0(c_0(c_0(c_1(c_2(c_0(c_2(c_0(c_2(c_0(c_0(c_1(z0))))))))))))))))))))))))))))), 3'(1(2(0(2(3(0(2(2(0(3(c_1(c_0(c_0(c_3(c_0(c_0(c_0(c_0(c_1(c_2(c_0(c_2(c_0(c_2(c_0(c_0(c_1(z0)))))))))))))))))))))))))))), 1'(2(0(2(3(0(2(2(0(3(c_1(c_0(c_0(c_3(c_0(c_0(c_0(c_0(c_1(c_2(c_0(c_2(c_0(c_2(c_0(c_0(c_1(z0))))))))))))))))))))))))))), 2'(0(2(3(0(2(2(0(3(c_1(c_0(c_0(c_3(c_0(c_0(c_0(c_0(c_1(c_2(c_0(c_2(c_0(c_2(c_0(c_0(c_1(z0)))))))))))))))))))))))))), 0'(2(3(0(2(2(0(3(c_1(c_0(c_0(c_3(c_0(c_0(c_0(c_0(c_1(c_2(c_0(c_2(c_0(c_2(c_0(c_0(c_1(z0))))))))))))))))))))))))), 2'(3(0(2(2(0(3(c_1(c_0(c_0(c_3(c_0(c_0(c_0(c_0(c_1(c_2(c_0(c_2(c_0(c_2(c_0(c_0(c_1(z0)))))))))))))))))))))))), 3'(0(2(2(0(3(c_1(c_0(c_0(c_3(c_0(c_0(c_0(c_0(c_1(c_2(c_0(c_2(c_0(c_2(c_0(c_0(c_1(z0))))))))))))))))))))))), 0'(2(2(0(3(c_1(c_0(c_0(c_3(c_0(c_0(c_0(c_0(c_1(c_2(c_0(c_2(c_0(c_2(c_0(c_0(c_1(z0)))))))))))))))))))))), 2'(2(0(3(c_1(c_0(c_0(c_3(c_0(c_0(c_0(c_0(c_1(c_2(c_0(c_2(c_0(c_2(c_0(c_0(c_1(z0))))))))))))))))))))), 2'(0(3(c_1(c_0(c_0(c_3(c_0(c_0(c_0(c_0(c_1(c_2(c_0(c_2(c_0(c_2(c_0(c_0(c_1(z0)))))))))))))))))))), 0'(3(c_1(c_0(c_0(c_3(c_0(c_0(c_0(c_0(c_1(c_2(c_0(c_2(c_0(c_2(c_0(c_0(c_1(z0))))))))))))))))))), 3'(c_1(c_0(c_0(c_3(c_0(c_0(c_0(c_0(c_1(c_2(c_0(c_2(c_0(c_2(c_0(c_0(c_1(z0)))))))))))))))))))
   0'(c_0(c_2(c_0(c_3(c_3(c_2(c_3(c_1(c_3(c_1(c_0(c_2(c_1(c_3(c_0(c_2(c_0(c_3(c_0(c_3(c_1(c_0(c_0(c_2(c_2(c_2(c_0(c_0(c_0(c_2(c_2(c_1(c_3(c_2(z0))))))))))))))))))))))))))))))))))) -> c9(0'(0(1(1(3(0(3(3(1(2(0(2(3(0(2(2(0(0(3(2(0(3(3(1(2(1(2(2(0(3(0(0(0(2(2(z0))))))))))))))))))))))))))))))))))), 0'(1(1(3(0(3(3(1(2(0(2(3(0(2(2(0(3(c_3(c_0(c_3(c_1(c_0(c_0(c_2(c_2(c_2(c_0(c_0(c_0(c_2(c_2(c_1(c_3(c_2(z0)))))))))))))))))))))))))))))))))), 1'(1(3(0(3(3(1(2(0(2(3(0(2(2(0(3(c_3(c_0(c_3(c_1(c_0(c_0(c_2(c_2(c_2(c_0(c_0(c_0(c_2(c_2(c_1(c_3(c_2(z0))))))))))))))))))))))))))))))))), 1'(3(0(3(3(1(2(0(2(3(0(2(2(0(3(c_3(c_0(c_3(c_1(c_0(c_0(c_2(c_2(c_2(c_0(c_0(c_0(c_2(c_2(c_1(c_3(c_2(z0)))))))))))))))))))))))))))))))), 3'(0(3(3(1(2(0(2(3(0(2(2(0(3(c_3(c_0(c_3(c_1(c_0(c_0(c_2(c_2(c_2(c_0(c_0(c_0(c_2(c_2(c_1(c_3(c_2(z0))))))))))))))))))))))))))))))), 0'(3(3(1(2(0(2(3(0(2(2(0(3(c_3(c_0(c_3(c_1(c_0(c_0(c_2(c_2(c_2(c_0(c_0(c_0(c_2(c_2(c_1(c_3(c_2(z0)))))))))))))))))))))))))))))), 3'(3(1(2(0(2(3(0(2(2(0(3(c_3(c_0(c_3(c_1(c_0(c_0(c_2(c_2(c_2(c_0(c_0(c_0(c_2(c_2(c_1(c_3(c_2(z0))))))))))))))))))))))))))))), 3'(1(2(0(2(3(0(2(2(0(3(c_3(c_0(c_3(c_1(c_0(c_0(c_2(c_2(c_2(c_0(c_0(c_0(c_2(c_2(c_1(c_3(c_2(z0)))))))))))))))))))))))))))), 1'(2(0(2(3(0(2(2(0(3(c_3(c_0(c_3(c_1(c_0(c_0(c_2(c_2(c_2(c_0(c_0(c_0(c_2(c_2(c_1(c_3(c_2(z0))))))))))))))))))))))))))), 2'(0(2(3(0(2(2(0(3(c_3(c_0(c_3(c_1(c_0(c_0(c_2(c_2(c_2(c_0(c_0(c_0(c_2(c_2(c_1(c_3(c_2(z0)))))))))))))))))))))))))), 0'(2(3(0(2(2(0(3(c_3(c_0(c_3(c_1(c_0(c_0(c_2(c_2(c_2(c_0(c_0(c_0(c_2(c_2(c_1(c_3(c_2(z0))))))))))))))))))))))))), 2'(3(0(2(2(0(3(c_3(c_0(c_3(c_1(c_0(c_0(c_2(c_2(c_2(c_0(c_0(c_0(c_2(c_2(c_1(c_3(c_2(z0)))))))))))))))))))))))), 3'(0(2(2(0(3(c_3(c_0(c_3(c_1(c_0(c_0(c_2(c_2(c_2(c_0(c_0(c_0(c_2(c_2(c_1(c_3(c_2(z0))))))))))))))))))))))), 0'(2(2(0(3(c_3(c_0(c_3(c_1(c_0(c_0(c_2(c_2(c_2(c_0(c_0(c_0(c_2(c_2(c_1(c_3(c_2(z0)))))))))))))))))))))), 2'(2(0(3(c_3(c_0(c_3(c_1(c_0(c_0(c_2(c_2(c_2(c_0(c_0(c_0(c_2(c_2(c_1(c_3(c_2(z0))))))))))))))))))))), 2'(0(3(c_3(c_0(c_3(c_1(c_0(c_0(c_2(c_2(c_2(c_0(c_0(c_0(c_2(c_2(c_1(c_3(c_2(z0)))))))))))))))))))), 0'(3(c_3(c_0(c_3(c_1(c_0(c_0(c_2(c_2(c_2(c_0(c_0(c_0(c_2(c_2(c_1(c_3(c_2(z0))))))))))))))))))), 3'(c_3(c_0(c_3(c_1(c_0(c_0(c_2(c_2(c_2(c_0(c_0(c_0(c_2(c_2(c_1(c_3(c_2(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_2(c_0(c_3(c_3(c_2(c_3(c_1(c_3(c_1(c_0(c_2(c_1(c_3(c_0(c_2(c_0(z0)))))))))))))))))) -> 0(0(1(1(3(0(3(3(1(2(0(2(3(0(2(2(0(3(z0))))))))))))))))))
   0(c_0(c_2(c_0(c_3(c_0(c_2(c_2(c_3(c_0(c_2(c_0(c_0(c_2(c_3(c_0(c_0(c_2(z0)))))))))))))))))) -> 0(0(3(2(2(0(2(0(0(0(2(2(0(3(0(0(3(2(z0))))))))))))))))))
   0(c_0(c_0(c_1(c_3(c_3(c_2(c_2(c_3(c_0(c_0(c_1(c_3(c_2(c_2(c_3(c_3(c_2(z0)))))))))))))))))) -> 3(0(2(3(0(3(0(3(0(0(1(2(3(3(1(2(2(2(z0))))))))))))))))))
   0(c_0(c_0(c_2(c_2(c_3(c_0(c_0(c_1(c_0(c_0(c_0(c_1(c_0(c_3(c_1(c_2(c_2(z0)))))))))))))))))) -> 0(0(0(3(2(0(1(3(0(2(1(0(0(1(2(0(0(2(z0))))))))))))))))))
   0(c_1(c_0(c_2(c_2(c_1(c_2(c_1(c_3(c_1(c_1(c_2(c_0(c_1(c_2(c_0(c_1(c_0(z0)))))))))))))))))) -> 2(0(0(3(1(2(2(1(2(0(1(0(1(2(1(1(1(0(z0))))))))))))))))))
   0(c_2(c_1(c_0(c_2(c_0(c_3(c_0(c_1(c_0(c_2(c_0(c_2(c_0(c_1(c_2(c_0(c_3(z0)))))))))))))))))) -> 0(2(1(2(0(2(1(2(0(3(0(0(3(2(1(0(0(0(z0))))))))))))))))))
   0(c_1(c_2(c_3(c_3(c_3(c_1(c_3(c_3(c_3(c_2(c_3(c_1(c_2(c_0(c_1(c_3(c_1(z0)))))))))))))))))) -> 2(3(0(3(3(3(1(1(3(0(3(1(3(2(3(1(2(1(z0))))))))))))))))))
   0(c_1(c_1(c_1(c_3(c_0(c_1(c_3(c_1(c_2(c_0(c_2(c_1(c_2(c_2(c_0(c_3(c_0(z0)))))))))))))))))) -> 3(0(3(2(2(1(1(1(2(0(1(1(2(1(3(0(0(0(z0))))))))))))))))))
   0(c_1(c_3(c_2(c_3(c_1(c_1(c_3(c_2(c_2(c_0(c_0(c_1(c_3(c_2(c_3(c_3(c_3(z0)))))))))))))))))) -> 2(3(0(3(3(3(1(0(0(1(2(1(3(2(3(2(1(3(z0))))))))))))))))))
   0(c_1(c_0(c_0(c_2(c_2(c_2(c_3(c_2(c_1(c_3(c_2(c_3(c_3(c_1(c_0(c_1(c_0(z0)))))))))))))))))) -> 0(1(2(3(0(3(3(0(2(0(1(0(2(1(3(2(1(2(z0))))))))))))))))))
   0(c_3(c_2(c_3(c_1(c_0(c_0(c_1(c_0(c_0(c_1(c_2(c_3(c_2(c_1(c_1(c_0(c_1(z0)))))))))))))))))) -> 3(0(0(3(1(1(0(0(2(1(2(2(0(1(1(0(3(1(z0))))))))))))))))))
   0(c_2(c_0(c_1(c_0(c_0(c_0(c_1(c_0(c_3(c_0(c_2(c_3(c_3(c_3(c_3(c_0(c_3(z0)))))))))))))))))) -> 0(3(0(0(0(3(3(2(0(1(1(0(2(3(0(0(3(3(z0))))))))))))))))))
   0(c_2(c_0(c_1(c_3(c_1(c_0(c_0(c_3(c_2(c_0(c_2(c_2(c_3(c_0(c_1(c_0(c_0(z0)))))))))))))))))) -> 1(0(0(3(2(1(2(2(2(0(0(3(1(0(0(0(3(0(z0))))))))))))))))))
   0(c_1(c_2(c_2(c_3(c_1(c_3(c_3(c_1(c_3(c_2(c_2(c_3(c_3(c_0(c_2(c_0(c_2(z0)))))))))))))))))) -> 0(1(2(3(0(3(3(3(3(2(2(1(2(0(2(3(1(2(z0))))))))))))))))))
   0(c_3(c_1(c_1(c_2(c_2(c_0(c_0(c_0(c_1(c_3(c_2(c_3(c_3(c_3(c_3(c_3(c_3(z0)))))))))))))))))) -> 3(0(3(2(3(3(0(0(3(2(1(1(0(3(1(2(3(3(z0))))))))))))))))))
   0(c_3(c_1(c_2(c_1(c_0(c_2(c_1(c_3(c_0(c_3(c_2(c_3(c_2(c_3(c_0(c_1(c_2(z0)))))))))))))))))) -> 3(0(2(3(0(3(1(2(1(2(3(0(3(1(0(2(1(2(z0))))))))))))))))))
   0(c_1(c_2(c_3(c_0(c_2(c_1(c_1(c_3(c_3(c_3(c_2(c_3(c_1(c_3(c_1(c_3(c_1(z0)))))))))))))))))) -> 2(1(3(2(3(1(1(3(3(0(3(3(0(3(2(1(1(1(z0))))))))))))))))))
   0(c_0(c_2(c_0(c_1(c_1(c_3(c_0(c_2(c_3(c_2(c_2(c_0(c_2(c_3(c_3(c_1(c_2(z0)))))))))))))))))) -> 0(0(3(2(1(0(0(3(1(3(0(3(2(2(1(2(2(2(z0))))))))))))))))))
   0(c_3(c_3(c_2(c_3(c_1(c_3(c_2(c_0(c_0(c_2(c_1(c_3(c_1(c_3(c_2(c_3(c_3(z0)))))))))))))))))) -> 3(2(2(3(2(0(1(2(1(3(1(3(0(3(0(3(3(3(z0))))))))))))))))))
   0(c_0(c_1(c_3(c_1(c_0(c_0(c_1(c_3(c_3(c_0(c_0(c_1(c_2(c_2(c_1(c_1(c_1(z0)))))))))))))))))) -> 3(3(0(2(0(0(0(0(1(0(2(1(3(1(1(1(1(1(z0))))))))))))))))))
   1(z0) -> c_1(z0)
   1(c_2(c_3(c_0(c_1(c_0(c_3(c_1(c_2(c_3(c_1(c_1(c_1(c_1(c_3(c_2(c_3(c_0(z0)))))))))))))))))) -> 1(1(2(1(1(3(0(3(3(2(1(2(0(3(1(1(3(0(z0))))))))))))))))))
   1(c_3(c_1(c_3(c_1(c_1(c_1(c_2(c_1(c_3(c_0(c_1(c_2(c_1(c_3(c_1(c_1(c_0(z0)))))))))))))))))) -> 1(0(1(1(1(3(3(2(3(0(1(2(1(1(1(1(1(3(z0))))))))))))))))))
   1(c_1(c_0(c_3(c_1(c_2(c_0(c_0(c_1(c_3(c_2(c_1(c_2(c_0(c_3(c_0(c_2(c_2(z0)))))))))))))))))) -> 1(1(2(2(3(2(1(0(0(3(2(3(0(0(0(1(1(2(z0))))))))))))))))))
   1(c_2(c_2(c_0(c_3(c_1(c_3(c_0(c_0(c_1(c_3(c_3(c_0(c_3(c_2(c_3(c_1(c_2(z0)))))))))))))))))) -> 1(0(2(3(3(3(3(0(2(0(3(1(0(3(1(2(1(2(z0))))))))))))))))))
   1(c_1(c_0(c_0(c_0(c_2(c_0(c_1(c_0(c_1(c_1(c_0(c_3(c_2(c_1(c_0(c_0(c_2(z0)))))))))))))))))) -> 1(1(2(1(1(0(0(2(3(0(0(0(0(1(1(0(0(2(z0))))))))))))))))))
   1(c_3(c_1(c_3(c_2(c_0(c_0(c_0(c_1(c_3(c_1(c_0(c_2(c_2(c_2(c_1(c_0(c_2(z0)))))))))))))))))) -> 1(0(1(1(2(2(0(3(3(0(1(0(1(2(2(3(0(2(z0))))))))))))))))))
   1(c_0(c_0(c_0(c_3(c_0(c_2(c_1(c_3(c_3(c_1(c_2(c_2(c_3(c_1(c_3(c_2(c_1(z0)))))))))))))))))) -> 1(2(1(3(3(0(3(0(3(1(0(2(2(3(1(0(2(1(z0))))))))))))))))))
   1(c_3(c_3(c_1(c_3(c_1(c_3(c_0(c_1(c_0(c_2(c_3(c_1(c_1(c_1(c_3(c_0(c_3(z0)))))))))))))))))) -> 1(1(1(2(1(3(0(0(3(3(3(0(1(1(3(3(1(3(z0))))))))))))))))))
   1(c_2(c_2(c_2(c_2(c_0(c_3(c_3(c_2(c_1(c_3(c_0(c_2(c_1(c_3(c_2(c_0(c_3(z0)))))))))))))))))) -> 1(2(2(1(2(1(2(0(2(3(2(2(0(0(3(3(3(3(z0))))))))))))))))))
   1(c_3(c_0(c_2(c_0(c_3(c_2(c_2(c_1(c_3(c_2(c_3(c_2(c_2(c_2(c_1(c_3(c_2(z0)))))))))))))))))) -> 1(3(2(1(2(2(3(3(3(2(1(3(2(0(0(2(2(2(z0))))))))))))))))))
   1(c_3(c_2(c_2(c_0(c_3(c_1(c_1(c_3(c_1(c_3(c_0(c_2(c_1(c_2(c_2(c_0(c_3(z0)))))))))))))))))) -> 1(1(2(1(0(1(2(3(3(0(3(0(3(2(2(1(2(3(z0))))))))))))))))))
   1(c_0(c_2(c_1(c_2(c_3(c_3(c_0(c_1(c_0(c_2(c_3(c_0(c_1(c_1(c_3(c_3(c_1(z0)))))))))))))))))) -> 1(2(1(1(1(3(0(3(0(3(1(0(3(2(2(0(3(1(z0))))))))))))))))))
   1(c_0(c_2(c_0(c_0(c_0(c_1(c_2(c_3(c_0(c_1(c_2(c_2(c_2(c_1(c_2(c_2(c_0(z0)))))))))))))))))) -> 1(2(2(0(0(1(1(0(0(2(2(2(2(1(2(0(0(3(z0))))))))))))))))))
   2(z0) -> c_2(z0)
   2(c_2(c_2(c_3(c_0(c_1(c_3(c_2(c_1(c_3(c_3(c_2(c_1(c_2(c_2(c_1(c_2(c_3(z0)))))))))))))))))) -> 2(2(2(1(1(2(3(2(3(2(2(0(3(1(2(1(3(3(z0))))))))))))))))))
   2(c_2(c_1(c_3(c_1(c_3(c_0(c_0(c_2(c_1(c_2(c_2(c_2(c_1(c_1(c_1(c_0(c_1(z0)))))))))))))))))) -> 0(2(2(3(3(1(1(2(0(2(1(1(2(1(0(1(2(1(z0))))))))))))))))))
   2(c_0(c_0(c_1(c_3(c_1(c_3(c_2(c_1(c_0(c_0(c_2(c_2(c_2(c_0(c_2(c_0(c_3(z0)))))))))))))))))) -> 0(2(2(2(0(2(1(0(0(3(0(0(1(2(2(1(3(3(z0))))))))))))))))))
   2(c_3(c_2(c_3(c_1(c_2(c_0(c_1(c_3(c_0(c_1(c_3(c_2(c_1(c_0(c_2(c_3(c_3(z0)))))))))))))))))) -> 0(3(1(0(2(2(1(2(2(1(3(3(3(1(0(2(3(3(z0))))))))))))))))))
   2(c_1(c_2(c_2(c_2(c_2(c_2(c_0(c_1(c_3(c_2(c_0(c_0(c_1(c_2(c_3(c_1(c_2(z0)))))))))))))))))) -> 2(1(2(2(1(0(0(3(3(0(1(2(2(2(2(2(1(2(z0))))))))))))))))))
   2(c_2(c_3(c_2(c_2(c_3(c_1(c_0(c_2(c_3(c_1(c_1(c_1(c_0(c_0(c_1(c_0(c_2(z0)))))))))))))))))) -> 0(2(1(1(2(2(0(3(3(0(1(1(2(2(1(0(3(2(z0))))))))))))))))))
   2(c_3(c_3(c_2(c_1(c_0(c_3(c_0(c_0(c_0(c_3(c_3(c_1(c_3(c_0(c_0(c_0(c_3(z0)))))))))))))))))) -> 2(1(0(3(0(3(0(3(3(3(0(0(0(0(2(1(3(3(z0))))))))))))))))))
   2(c_1(c_0(c_3(c_1(c_3(c_1(c_2(c_2(c_2(c_2(c_1(c_2(c_3(c_1(c_3(c_0(c_2(z0)))))))))))))))))) -> 2(3(3(2(1(2(0(3(1(2(2(1(0(3(2(2(1(1(z0))))))))))))))))))
   2(c_2(c_3(c_1(c_1(c_1(c_3(c_1(c_2(c_0(c_1(c_2(c_2(c_0(c_1(c_2(c_2(c_2(z0)))))))))))))))))) -> 2(2(1(2(1(3(1(1(2(3(2(2(0(1(2(0(1(2(z0))))))))))))))))))
   2(c_2(c_2(c_2(c_3(c_2(c_0(c_1(c_3(c_1(c_2(c_2(c_2(c_1(c_3(c_2(c_3(c_3(z0)))))))))))))))))) -> 2(3(1(2(2(1(2(2(1(0(2(2(2(2(3(3(3(3(z0))))))))))))))))))
   2(c_0(c_2(c_2(c_3(c_1(c_0(c_3(c_2(c_3(c_0(c_3(c_2(c_0(c_0(c_2(c_0(c_2(z0)))))))))))))))))) -> 2(0(0(2(3(0(3(3(0(3(2(0(1(2(2(2(0(2(z0))))))))))))))))))
   2(c_1(c_3(c_0(c_0(c_2(c_2(c_1(c_1(c_3(c_1(c_3(c_1(c_0(c_0(c_2(c_1(c_2(z0)))))))))))))))))) -> 0(1(2(1(0(1(2(1(0(0(1(1(2(3(3(3(2(2(z0))))))))))))))))))
   2(c_0(c_3(c_0(c_0(c_1(c_3(c_1(c_2(c_0(c_2(c_1(c_3(c_0(c_2(c_2(c_0(c_0(z0)))))))))))))))))) -> 0(0(3(0(3(2(1(2(1(2(2(1(2(0(0(0(3(0(z0))))))))))))))))))
   2(c_0(c_2(c_0(c_3(c_0(c_0(c_2(c_2(c_1(c_1(c_0(c_3(c_1(c_0(c_3(c_1(c_1(z0)))))))))))))))))) -> 2(0(0(3(3(2(2(1(0(1(0(1(0(3(2(1(0(1(z0))))))))))))))))))
   2(c_2(c_0(c_0(c_3(c_0(c_1(c_3(c_1(c_0(c_2(c_2(c_2(c_3(c_0(c_1(c_2(c_0(z0)))))))))))))))))) -> 0(2(0(3(2(3(2(1(0(2(0(2(1(0(1(0(2(3(z0))))))))))))))))))
   2(c_0(c_0(c_0(c_1(c_1(c_3(c_1(c_1(c_1(c_2(c_2(c_2(c_2(c_2(c_0(c_1(c_3(z0)))))))))))))))))) -> 2(0(1(2(0(0(3(2(2(1(1(1(1(2(2(1(3(0(z0))))))))))))))))))
   2(c_0(c_3(c_1(c_0(c_3(c_2(c_1(c_0(c_2(c_3(c_1(c_0(c_2(c_2(c_1(c_1(c_1(z0)))))))))))))))))) -> 2(1(2(2(2(0(1(1(0(0(3(3(1(3(0(2(1(1(z0))))))))))))))))))
   2(c_1(c_2(c_1(c_3(c_0(c_2(c_2(c_3(c_2(c_3(c_1(c_1(c_1(c_3(c_3(c_0(c_2(z0)))))))))))))))))) -> 2(1(2(1(3(2(1(2(3(2(3(3(0(0(3(1(2(1(z0))))))))))))))))))
   2(c_2(c_1(c_3(c_3(c_0(c_0(c_2(c_1(c_3(c_0(c_1(c_2(c_2(c_2(c_2(c_3(c_3(z0)))))))))))))))))) -> 2(0(2(2(0(2(1(0(3(2(2(1(1(3(2(3(3(3(z0))))))))))))))))))
   2(c_1(c_2(c_3(c_1(c_3(c_2(c_0(c_2(c_2(c_3(c_3(c_3(c_2(c_3(c_1(c_3(c_3(z0)))))))))))))))))) -> 2(3(3(2(2(1(3(2(3(2(1(0(3(3(1(2(3(3(z0))))))))))))))))))
   2(c_0(c_1(c_0(c_1(c_2(c_2(c_2(c_2(c_3(c_3(c_1(c_1(c_1(c_1(c_2(c_1(c_2(z0)))))))))))))))))) -> 0(2(2(1(1(1(2(1(0(3(3(2(2(1(1(2(1(2(z0))))))))))))))))))
   2(c_3(c_0(c_1(c_3(c_1(c_3(c_3(c_0(c_3(c_0(c_2(c_0(c_3(c_1(c_3(c_2(c_3(z0)))))))))))))))))) -> 0(2(0(3(3(3(2(1(3(0(3(3(3(3(1(1(2(0(z0))))))))))))))))))
   3(z0) -> c_3(z0)
   3(c_0(c_0(c_3(c_1(c_3(c_0(c_2(c_0(c_2(c_0(c_0(c_1(c_0(c_3(c_2(c_3(c_2(z0)))))))))))))))))) -> 0(0(3(2(3(3(0(0(0(3(2(0(1(2(3(1(0(2(z0))))))))))))))))))
   3(c_3(c_0(c_2(c_3(c_0(c_1(c_3(c_3(c_3(c_1(c_2(c_1(c_3(c_2(c_2(c_0(c_3(z0)))))))))))))))))) -> 2(3(1(1(0(1(2(0(3(3(3(2(3(2(3(3(0(3(z0))))))))))))))))))
   3(c_3(c_3(c_2(c_3(c_0(c_2(c_2(c_3(c_1(c_2(c_3(c_0(c_3(c_3(c_2(c_2(c_2(z0)))))))))))))))))) -> 3(0(3(2(2(2(0(3(3(3(2(2(3(2(1(3(3(2(z0))))))))))))))))))
   3(c_1(c_1(c_1(c_3(c_1(c_3(c_3(c_3(c_2(c_3(c_0(c_0(c_2(c_3(c_1(c_3(c_1(z0)))))))))))))))))) -> 3(3(1(2(2(3(0(1(0(3(3(3(1(1(1(3(3(1(z0))))))))))))))))))
   3(c_3(c_2(c_0(c_0(c_1(c_0(c_2(c_3(c_3(c_0(c_3(c_1(c_3(c_3(c_1(c_3(c_3(z0)))))))))))))))))) -> 0(0(3(3(1(1(0(2(2(3(1(3(3(0(3(3(3(3(z0))))))))))))))))))
   3(c_1(c_3(c_2(c_1(c_3(c_1(c_0(c_3(c_2(c_0(c_2(c_0(c_3(c_0(c_2(c_3(c_3(z0)))))))))))))))))) -> 2(2(0(1(2(1(0(3(3(3(0(3(2(1(3(3(3(0(z0))))))))))))))))))
   3(c_1(c_3(c_1(c_1(c_1(c_1(c_3(c_2(c_0(c_0(c_2(c_2(c_2(c_1(c_3(c_3(c_1(z0)))))))))))))))))) -> 3(1(0(3(1(1(0(2(2(2(3(1(2(1(1(3(3(1(z0))))))))))))))))))
   3(c_0(c_0(c_2(c_2(c_2(c_1(c_3(c_1(c_3(c_3(c_3(c_2(c_0(c_2(c_3(c_3(c_3(z0)))))))))))))))))) -> 2(1(2(1(2(3(3(0(2(3(0(3(3(3(2(0(3(3(z0))))))))))))))))))
   3(c_3(c_3(c_1(c_3(c_1(c_3(c_0(c_3(c_3(c_2(c_0(c_1(c_3(c_0(c_1(c_2(c_3(z0)))))))))))))))))) -> 3(3(3(1(1(3(1(3(3(3(2(3(0(3(1(2(0(0(z0))))))))))))))))))
   3(c_0(c_0(c_0(c_2(c_0(c_3(c_2(c_0(c_2(c_2(c_2(c_0(c_0(c_1(c_3(c_0(c_2(z0)))))))))))))))))) -> 0(0(2(1(2(3(0(3(2(0(2(0(0(3(0(2(0(2(z0))))))))))))))))))
   3(c_2(c_3(c_0(c_2(c_2(c_2(c_2(c_0(c_0(c_0(c_1(c_1(c_1(c_3(c_0(c_2(c_3(z0)))))))))))))))))) -> 3(0(2(3(2(0(3(1(2(0(2(1(0(3(2(1(2(0(z0))))))))))))))))))
   3(c_2(c_0(c_0(c_0(c_2(c_3(c_3(c_1(c_1(c_0(c_1(c_3(c_2(c_3(c_3(c_0(c_0(z0)))))))))))))))))) -> 3(0(2(1(2(3(3(0(3(1(0(1(2(3(3(0(0(0(z0))))))))))))))))))
   3(c_0(c_3(c_2(c_2(c_0(c_2(c_0(c_0(c_0(c_1(c_3(c_2(c_3(c_3(c_0(c_3(c_0(z0)))))))))))))))))) -> 3(0(2(0(1(2(2(0(3(0(2(0(3(0(3(3(3(0(z0))))))))))))))))))
   3(c_0(c_2(c_2(c_0(c_1(c_2(c_0(c_0(c_2(c_0(c_2(c_2(c_2(c_3(c_1(c_0(c_2(z0)))))))))))))))))) -> 0(2(1(2(2(3(0(0(3(2(2(1(2(0(2(0(0(2(z0))))))))))))))))))
   3(c_3(c_2(c_1(c_3(c_2(c_0(c_2(c_0(c_0(c_3(c_1(c_3(c_0(c_2(c_0(c_2(c_2(z0)))))))))))))))))) -> 2(0(1(3(2(2(2(1(2(3(3(0(3(0(0(0(3(2(z0))))))))))))))))))
   3(c_0(c_2(c_2(c_3(c_2(c_2(c_3(c_2(c_2(c_3(c_3(c_2(c_0(c_1(c_3(c_2(c_3(z0)))))))))))))))))) -> 0(3(3(2(1(3(3(2(2(3(2(2(2(0(3(2(2(3(z0))))))))))))))))))
   3(c_0(c_1(c_2(c_1(c_0(c_2(c_1(c_1(c_3(c_0(c_1(c_2(c_3(c_1(c_1(c_1(c_1(z0)))))))))))))))))) -> 3(3(1(1(1(0(1(2(1(1(1(2(2(3(0(1(0(1(z0))))))))))))))))))
   3(c_3(c_2(c_1(c_3(c_0(c_0(c_1(c_3(c_2(c_0(c_0(c_2(c_3(c_3(c_0(c_0(c_2(z0)))))))))))))))))) -> 3(0(0(3(0(3(0(1(2(0(3(1(3(0(3(2(2(2(z0))))))))))))))))))
   3(c_3(c_0(c_2(c_0(c_2(c_0(c_1(c_2(c_0(c_2(c_3(c_0(c_2(c_2(c_0(c_3(c_3(z0)))))))))))))))))) -> 3(2(0(3(2(0(0(0(3(0(3(2(2(2(1(2(0(3(z0))))))))))))))))))
   3(c_2(c_2(c_1(c_2(c_2(c_3(c_1(c_1(c_2(c_0(c_1(c_3(c_1(c_2(c_2(c_1(c_1(z0)))))))))))))))))) -> 3(1(1(1(2(2(1(3(2(3(2(2(1(1(2(0(2(1(z0))))))))))))))))))
   3(c_2(c_2(c_2(c_3(c_2(c_3(c_0(c_1(c_3(c_2(c_1(c_3(c_2(c_3(c_0(c_2(c_1(z0)))))))))))))))))) -> 0(0(3(3(2(1(2(1(3(3(3(3(2(2(2(2(2(1(z0))))))))))))))))))
   3(c_1(c_3(c_2(c_1(c_1(c_3(c_1(c_2(c_2(c_1(c_3(c_2(c_3(c_1(c_0(c_3(c_1(z0)))))))))))))))))) -> 3(1(3(3(1(2(0(1(1(2(2(1(3(3(2(3(1(1(z0))))))))))))))))))
   3(c_2(c_1(c_3(c_1(c_2(c_2(c_2(c_3(c_3(c_0(c_2(c_1(c_3(c_0(c_2(c_0(c_2(z0)))))))))))))))))) -> 3(3(3(2(3(2(2(0(2(2(1(0(3(2(1(2(1(0(z0))))))))))))))))))
   3(c_1(c_0(c_0(c_3(c_0(c_0(c_0(c_0(c_1(c_2(c_0(c_2(c_0(c_2(c_0(c_0(c_1(z0)))))))))))))))))) -> 3(0(0(0(0(0(2(0(0(0(0(3(0(2(1(1(2(1(z0))))))))))))))))))
   3(c_3(c_0(c_3(c_1(c_0(c_0(c_2(c_2(c_2(c_0(c_0(c_0(c_2(c_2(c_1(c_3(c_2(z0)))))))))))))))))) -> 0(3(2(0(3(3(1(2(1(2(2(0(3(0(0(0(2(2(z0))))))))))))))))))
Tuples:
   0'(c_0(c_2(c_0(c_3(c_0(c_2(c_2(c_3(c_0(c_2(c_0(c_0(c_2(c_3(c_0(c_0(c_2(z0)))))))))))))))))) -> c10(0'(0(3(2(2(0(2(0(0(0(2(2(0(3(0(0(3(2(z0)))))))))))))))))), 0'(3(2(2(0(2(0(0(0(2(2(0(3(0(0(3(2(z0))))))))))))))))), 3'(2(2(0(2(0(0(0(2(2(0(3(0(0(3(2(z0)))))))))))))))), 2'(2(0(2(0(0(0(2(2(0(3(0(0(3(2(z0))))))))))))))), 2'(0(2(0(0(0(2(2(0(3(0(0(3(2(z0)))))))))))))), 0'(2(0(0(0(2(2(0(3(0(0(3(2(z0))))))))))))), 2'(0(0(0(2(2(0(3(0(0(3(2(z0)))))))))))), 0'(0(0(2(2(0(3(0(0(3(2(z0))))))))))), 0'(0(2(2(0(3(0(0(3(2(z0)))))))))), 0'(2(2(0(3(0(0(3(2(z0))))))))), 2'(2(0(3(0(0(3(2(z0)))))))), 2'(0(3(0(0(3(2(z0))))))), 0'(3(0(0(3(2(z0)))))), 3'(0(0(3(2(z0))))), 0'(0(3(2(z0)))), 0'(3(2(z0))), 3'(2(z0)), 2'(z0))
   0'(c_0(c_0(c_1(c_3(c_3(c_2(c_2(c_3(c_0(c_0(c_1(c_3(c_2(c_2(c_3(c_3(c_2(z0)))))))))))))))))) -> c11(3'(0(2(3(0(3(0(3(0(0(1(2(3(3(1(2(2(2(z0)))))))))))))))))), 0'(2(3(0(3(0(3(0(0(1(2(3(3(1(2(2(2(z0))))))))))))))))), 2'(3(0(3(0(3(0(0(1(2(3(3(1(2(2(2(z0)))))))))))))))), 3'(0(3(0(3(0(0(1(2(3(3(1(2(2(2(z0))))))))))))))), 0'(3(0(3(0(0(1(2(3(3(1(2(2(2(z0)))))))))))))), 3'(0(3(0(0(1(2(3(3(1(2(2(2(z0))))))))))))), 0'(3(0(0(1(2(3(3(1(2(2(2(z0)))))))))))), 3'(0(0(1(2(3(3(1(2(2(2(z0))))))))))), 0'(0(1(2(3(3(1(2(2(2(z0)))))))))), 0'(1(2(3(3(1(2(2(2(z0))))))))), 1'(2(3(3(1(2(2(2(z0)))))))), 2'(3(3(1(2(2(2(z0))))))), 3'(3(1(2(2(2(z0)))))), 3'(1(2(2(2(z0))))), 1'(2(2(2(z0)))), 2'(2(2(z0))), 2'(2(z0)), 2'(z0))
   0'(c_0(c_0(c_2(c_2(c_3(c_0(c_0(c_1(c_0(c_0(c_0(c_1(c_0(c_3(c_1(c_2(c_2(z0)))))))))))))))))) -> c12(0'(0(0(3(2(0(1(3(0(2(1(0(0(1(2(0(0(2(z0)))))))))))))))))), 0'(0(3(2(0(1(3(0(2(1(0(0(1(2(0(0(2(z0))))))))))))))))), 0'(3(2(0(1(3(0(2(1(0(0(1(2(0(0(2(z0)))))))))))))))), 3'(2(0(1(3(0(2(1(0(0(1(2(0(0(2(z0))))))))))))))), 2'(0(1(3(0(2(1(0(0(1(2(0(0(2(z0)))))))))))))), 0'(1(3(0(2(1(0(0(1(2(0(0(2(z0))))))))))))), 1'(3(0(2(1(0(0(1(2(0(0(2(z0)))))))))))), 3'(0(2(1(0(0(1(2(0(0(2(z0))))))))))), 0'(2(1(0(0(1(2(0(0(2(z0)))))))))), 2'(1(0(0(1(2(0(0(2(z0))))))))), 1'(0(0(1(2(0(0(2(z0)))))))), 0'(0(1(2(0(0(2(z0))))))), 0'(1(2(0(0(2(z0)))))), 1'(2(0(0(2(z0))))), 2'(0(0(2(z0)))), 0'(0(2(z0))), 0'(2(z0)), 2'(z0))
   0'(c_1(c_0(c_2(c_2(c_1(c_2(c_1(c_3(c_1(c_1(c_2(c_0(c_1(c_2(c_0(c_1(c_0(z0)))))))))))))))))) -> c13(2'(0(0(3(1(2(2(1(2(0(1(0(1(2(1(1(1(0(z0)))))))))))))))))), 0'(0(3(1(2(2(1(2(0(1(0(1(2(1(1(1(0(z0))))))))))))))))), 0'(3(1(2(2(1(2(0(1(0(1(2(1(1(1(0(z0)))))))))))))))), 3'(1(2(2(1(2(0(1(0(1(2(1(1(1(0(z0))))))))))))))), 1'(2(2(1(2(0(1(0(1(2(1(1(1(0(z0)))))))))))))), 2'(2(1(2(0(1(0(1(2(1(1(1(0(z0))))))))))))), 2'(1(2(0(1(0(1(2(1(1(1(0(z0)))))))))))), 1'(2(0(1(0(1(2(1(1(1(0(z0))))))))))), 2'(0(1(0(1(2(1(1(1(0(z0)))))))))), 0'(1(0(1(2(1(1(1(0(z0))))))))), 1'(0(1(2(1(1(1(0(z0)))))))), 0'(1(2(1(1(1(0(z0))))))), 1'(2(1(1(1(0(z0)))))), 2'(1(1(1(0(z0))))), 1'(1(1(0(z0)))), 1'(1(0(z0))), 1'(0(z0)), 0'(z0))
   0'(c_2(c_1(c_0(c_2(c_0(c_3(c_0(c_1(c_0(c_2(c_0(c_2(c_0(c_1(c_2(c_0(c_3(z0)))))))))))))))))) -> c14(0'(2(1(2(0(2(1(2(0(3(0(0(3(2(1(0(0(0(z0)))))))))))))))))), 2'(1(2(0(2(1(2(0(3(0(0(3(2(1(0(0(0(z0))))))))))))))))), 1'(2(0(2(1(2(0(3(0(0(3(2(1(0(0(0(z0)))))))))))))))), 2'(0(2(1(2(0(3(0(0(3(2(1(0(0(0(z0))))))))))))))), 0'(2(1(2(0(3(0(0(3(2(1(0(0(0(z0)))))))))))))), 2'(1(2(0(3(0(0(3(2(1(0(0(0(z0))))))))))))), 1'(2(0(3(0(0(3(2(1(0(0(0(z0)))))))))))), 2'(0(3(0(0(3(2(1(0(0(0(z0))))))))))), 0'(3(0(0(3(2(1(0(0(0(z0)))))))))), 3'(0(0(3(2(1(0(0(0(z0))))))))), 0'(0(3(2(1(0(0(0(z0)))))))), 0'(3(2(1(0(0(0(z0))))))), 3'(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))
   0'(c_1(c_2(c_3(c_3(c_3(c_1(c_3(c_3(c_3(c_2(c_3(c_1(c_2(c_0(c_1(c_3(c_1(z0)))))))))))))))))) -> c15(2'(3(0(3(3(3(1(1(3(0(3(1(3(2(3(1(2(1(z0)))))))))))))))))), 3'(0(3(3(3(1(1(3(0(3(1(3(2(3(1(2(1(z0))))))))))))))))), 0'(3(3(3(1(1(3(0(3(1(3(2(3(1(2(1(z0)))))))))))))))), 3'(3(3(1(1(3(0(3(1(3(2(3(1(2(1(z0))))))))))))))), 3'(3(1(1(3(0(3(1(3(2(3(1(2(1(z0)))))))))))))), 3'(1(1(3(0(3(1(3(2(3(1(2(1(z0))))))))))))), 1'(1(3(0(3(1(3(2(3(1(2(1(z0)))))))))))), 1'(3(0(3(1(3(2(3(1(2(1(z0))))))))))), 3'(0(3(1(3(2(3(1(2(1(z0)))))))))), 0'(3(1(3(2(3(1(2(1(z0))))))))), 3'(1(3(2(3(1(2(1(z0)))))))), 1'(3(2(3(1(2(1(z0))))))), 3'(2(3(1(2(1(z0)))))), 2'(3(1(2(1(z0))))), 3'(1(2(1(z0)))), 1'(2(1(z0))), 2'(1(z0)), 1'(z0))
   0'(c_1(c_1(c_1(c_3(c_0(c_1(c_3(c_1(c_2(c_0(c_2(c_1(c_2(c_2(c_0(c_3(c_0(z0)))))))))))))))))) -> c16(3'(0(3(2(2(1(1(1(2(0(1(1(2(1(3(0(0(0(z0)))))))))))))))))), 0'(3(2(2(1(1(1(2(0(1(1(2(1(3(0(0(0(z0))))))))))))))))), 3'(2(2(1(1(1(2(0(1(1(2(1(3(0(0(0(z0)))))))))))))))), 2'(2(1(1(1(2(0(1(1(2(1(3(0(0(0(z0))))))))))))))), 2'(1(1(1(2(0(1(1(2(1(3(0(0(0(z0)))))))))))))), 1'(1(1(2(0(1(1(2(1(3(0(0(0(z0))))))))))))), 1'(1(2(0(1(1(2(1(3(0(0(0(z0)))))))))))), 1'(2(0(1(1(2(1(3(0(0(0(z0))))))))))), 2'(0(1(1(2(1(3(0(0(0(z0)))))))))), 0'(1(1(2(1(3(0(0(0(z0))))))))), 1'(1(2(1(3(0(0(0(z0)))))))), 1'(2(1(3(0(0(0(z0))))))), 2'(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_1(c_3(c_2(c_3(c_1(c_1(c_3(c_2(c_2(c_0(c_0(c_1(c_3(c_2(c_3(c_3(c_3(z0)))))))))))))))))) -> c17(2'(3(0(3(3(3(1(0(0(1(2(1(3(2(3(2(1(3(z0)))))))))))))))))), 3'(0(3(3(3(1(0(0(1(2(1(3(2(3(2(1(3(z0))))))))))))))))), 0'(3(3(3(1(0(0(1(2(1(3(2(3(2(1(3(z0)))))))))))))))), 3'(3(3(1(0(0(1(2(1(3(2(3(2(1(3(z0))))))))))))))), 3'(3(1(0(0(1(2(1(3(2(3(2(1(3(z0)))))))))))))), 3'(1(0(0(1(2(1(3(2(3(2(1(3(z0))))))))))))), 1'(0(0(1(2(1(3(2(3(2(1(3(z0)))))))))))), 0'(0(1(2(1(3(2(3(2(1(3(z0))))))))))), 0'(1(2(1(3(2(3(2(1(3(z0)))))))))), 1'(2(1(3(2(3(2(1(3(z0))))))))), 2'(1(3(2(3(2(1(3(z0)))))))), 1'(3(2(3(2(1(3(z0))))))), 3'(2(3(2(1(3(z0)))))), 2'(3(2(1(3(z0))))), 3'(2(1(3(z0)))), 2'(1(3(z0))), 1'(3(z0)), 3'(z0))
   0'(c_1(c_0(c_0(c_2(c_2(c_2(c_3(c_2(c_1(c_3(c_2(c_3(c_3(c_1(c_0(c_1(c_0(z0)))))))))))))))))) -> c18(0'(1(2(3(0(3(3(0(2(0(1(0(2(1(3(2(1(2(z0)))))))))))))))))), 1'(2(3(0(3(3(0(2(0(1(0(2(1(3(2(1(2(z0))))))))))))))))), 2'(3(0(3(3(0(2(0(1(0(2(1(3(2(1(2(z0)))))))))))))))), 3'(0(3(3(0(2(0(1(0(2(1(3(2(1(2(z0))))))))))))))), 0'(3(3(0(2(0(1(0(2(1(3(2(1(2(z0)))))))))))))), 3'(3(0(2(0(1(0(2(1(3(2(1(2(z0))))))))))))), 3'(0(2(0(1(0(2(1(3(2(1(2(z0)))))))))))), 0'(2(0(1(0(2(1(3(2(1(2(z0))))))))))), 2'(0(1(0(2(1(3(2(1(2(z0)))))))))), 0'(1(0(2(1(3(2(1(2(z0))))))))), 1'(0(2(1(3(2(1(2(z0)))))))), 0'(2(1(3(2(1(2(z0))))))), 2'(1(3(2(1(2(z0)))))), 1'(3(2(1(2(z0))))), 3'(2(1(2(z0)))), 2'(1(2(z0))), 1'(2(z0)), 2'(z0))
   0'(c_3(c_2(c_3(c_1(c_0(c_0(c_1(c_0(c_0(c_1(c_2(c_3(c_2(c_1(c_1(c_0(c_1(z0)))))))))))))))))) -> c19(3'(0(0(3(1(1(0(0(2(1(2(2(0(1(1(0(3(1(z0)))))))))))))))))), 0'(0(3(1(1(0(0(2(1(2(2(0(1(1(0(3(1(z0))))))))))))))))), 0'(3(1(1(0(0(2(1(2(2(0(1(1(0(3(1(z0)))))))))))))))), 3'(1(1(0(0(2(1(2(2(0(1(1(0(3(1(z0))))))))))))))), 1'(1(0(0(2(1(2(2(0(1(1(0(3(1(z0)))))))))))))), 1'(0(0(2(1(2(2(0(1(1(0(3(1(z0))))))))))))), 0'(0(2(1(2(2(0(1(1(0(3(1(z0)))))))))))), 0'(2(1(2(2(0(1(1(0(3(1(z0))))))))))), 2'(1(2(2(0(1(1(0(3(1(z0)))))))))), 1'(2(2(0(1(1(0(3(1(z0))))))))), 2'(2(0(1(1(0(3(1(z0)))))))), 2'(0(1(1(0(3(1(z0))))))), 0'(1(1(0(3(1(z0)))))), 1'(1(0(3(1(z0))))), 1'(0(3(1(z0)))), 0'(3(1(z0))), 3'(1(z0)), 1'(z0))
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   3'(c_1(c_0(c_0(c_3(c_0(c_0(c_0(c_0(c_1(c_2(c_0(c_2(c_0(c_2(c_0(c_0(c_1(z0)))))))))))))))))) -> c90(3'(0(0(0(0(0(2(0(0(0(0(3(0(2(1(1(2(1(z0)))))))))))))))))), 0'(0(0(0(0(2(0(0(0(0(3(0(2(1(1(2(1(z0))))))))))))))))), 0'(0(0(0(2(0(0(0(0(3(0(2(1(1(2(1(z0)))))))))))))))), 0'(0(0(2(0(0(0(0(3(0(2(1(1(2(1(z0))))))))))))))), 0'(0(2(0(0(0(0(3(0(2(1(1(2(1(z0)))))))))))))), 0'(2(0(0(0(0(3(0(2(1(1(2(1(z0))))))))))))), 2'(0(0(0(0(3(0(2(1(1(2(1(z0)))))))))))), 0'(0(0(0(3(0(2(1(1(2(1(z0))))))))))), 0'(0(0(3(0(2(1(1(2(1(z0)))))))))), 0'(0(3(0(2(1(1(2(1(z0))))))))), 0'(3(0(2(1(1(2(1(z0)))))))), 3'(0(2(1(1(2(1(z0))))))), 0'(2(1(1(2(1(z0)))))), 2'(1(1(2(1(z0))))), 1'(1(2(1(z0)))), 1'(2(1(z0))), 2'(1(z0)), 1'(z0))
   3'(c_3(c_0(c_3(c_1(c_0(c_0(c_2(c_2(c_2(c_0(c_0(c_0(c_2(c_2(c_1(c_3(c_2(z0)))))))))))))))))) -> c91(0'(3(2(0(3(3(1(2(1(2(2(0(3(0(0(0(2(2(z0)))))))))))))))))), 3'(2(0(3(3(1(2(1(2(2(0(3(0(0(0(2(2(z0))))))))))))))))), 2'(0(3(3(1(2(1(2(2(0(3(0(0(0(2(2(z0)))))))))))))))), 0'(3(3(1(2(1(2(2(0(3(0(0(0(2(2(z0))))))))))))))), 3'(3(1(2(1(2(2(0(3(0(0(0(2(2(z0)))))))))))))), 3'(1(2(1(2(2(0(3(0(0(0(2(2(z0))))))))))))), 1'(2(1(2(2(0(3(0(0(0(2(2(z0)))))))))))), 2'(1(2(2(0(3(0(0(0(2(2(z0))))))))))), 1'(2(2(0(3(0(0(0(2(2(z0)))))))))), 2'(2(0(3(0(0(0(2(2(z0))))))))), 2'(0(3(0(0(0(2(2(z0)))))))), 0'(3(0(0(0(2(2(z0))))))), 3'(0(0(0(2(2(z0)))))), 0'(0(0(2(2(z0))))), 0'(0(2(2(z0)))), 0'(2(2(z0))), 2'(2(z0)), 2'(z0))
   ENCODE_0(z0) -> c8(0'(encArg(z0)))
   ENCODE_1(z0) -> c8(1'(encArg(z0)))
   ENCODE_3(z0) -> c8(3'(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)))
   0'(c_0(c_2(c_0(c_3(c_3(c_2(c_3(c_1(c_3(c_1(c_0(c_2(c_1(c_3(c_0(c_2(c_0(x0)))))))))))))))))) -> c9(0'(c_0(1(1(3(0(3(3(1(2(0(2(3(0(2(2(0(3(x0)))))))))))))))))), 0'(1(1(3(0(3(3(1(2(0(2(3(0(2(2(0(3(x0))))))))))))))))), 1'(1(3(0(3(3(1(2(0(2(3(0(2(2(0(3(x0)))))))))))))))), 1'(3(0(3(3(1(2(0(2(3(0(2(2(0(3(x0))))))))))))))), 3'(0(3(3(1(2(0(2(3(0(2(2(0(3(x0)))))))))))))), 0'(3(3(1(2(0(2(3(0(2(2(0(3(x0))))))))))))), 3'(3(1(2(0(2(3(0(2(2(0(3(x0)))))))))))), 3'(1(2(0(2(3(0(2(2(0(3(x0))))))))))), 1'(2(0(2(3(0(2(2(0(3(x0)))))))))), 2'(0(2(3(0(2(2(0(3(x0))))))))), 0'(2(3(0(2(2(0(3(x0)))))))), 2'(3(0(2(2(0(3(x0))))))), 3'(0(2(2(0(3(x0)))))), 0'(2(2(0(3(x0))))), 2'(2(0(3(x0)))), 2'(0(3(x0))), 0'(3(x0)), 3'(x0))
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   0'(c_0(c_2(c_0(c_3(c_3(c_2(c_3(c_1(c_3(c_1(c_0(c_2(c_1(c_3(c_0(c_2(c_0(x0)))))))))))))))))) -> c9(0'(0(1(c_1(3(0(3(3(1(2(0(2(3(0(2(2(0(3(x0)))))))))))))))))), 0'(1(1(3(0(3(3(1(2(0(2(3(0(2(2(0(3(x0))))))))))))))))), 1'(1(3(0(3(3(1(2(0(2(3(0(2(2(0(3(x0)))))))))))))))), 1'(3(0(3(3(1(2(0(2(3(0(2(2(0(3(x0))))))))))))))), 3'(0(3(3(1(2(0(2(3(0(2(2(0(3(x0)))))))))))))), 0'(3(3(1(2(0(2(3(0(2(2(0(3(x0))))))))))))), 3'(3(1(2(0(2(3(0(2(2(0(3(x0)))))))))))), 3'(1(2(0(2(3(0(2(2(0(3(x0))))))))))), 1'(2(0(2(3(0(2(2(0(3(x0)))))))))), 2'(0(2(3(0(2(2(0(3(x0))))))))), 0'(2(3(0(2(2(0(3(x0)))))))), 2'(3(0(2(2(0(3(x0))))))), 3'(0(2(2(0(3(x0)))))), 0'(2(2(0(3(x0))))), 2'(2(0(3(x0)))), 2'(0(3(x0))), 0'(3(x0)), 3'(x0))
   0'(c_0(c_2(c_0(c_3(c_3(c_2(c_3(c_1(c_3(c_1(c_0(c_2(c_1(c_3(c_0(c_2(c_0(x0)))))))))))))))))) -> c9(0'(0(1(1(c_3(0(3(3(1(2(0(2(3(0(2(2(0(3(x0)))))))))))))))))), 0'(1(1(3(0(3(3(1(2(0(2(3(0(2(2(0(3(x0))))))))))))))))), 1'(1(3(0(3(3(1(2(0(2(3(0(2(2(0(3(x0)))))))))))))))), 1'(3(0(3(3(1(2(0(2(3(0(2(2(0(3(x0))))))))))))))), 3'(0(3(3(1(2(0(2(3(0(2(2(0(3(x0)))))))))))))), 0'(3(3(1(2(0(2(3(0(2(2(0(3(x0))))))))))))), 3'(3(1(2(0(2(3(0(2(2(0(3(x0)))))))))))), 3'(1(2(0(2(3(0(2(2(0(3(x0))))))))))), 1'(2(0(2(3(0(2(2(0(3(x0)))))))))), 2'(0(2(3(0(2(2(0(3(x0))))))))), 0'(2(3(0(2(2(0(3(x0)))))))), 2'(3(0(2(2(0(3(x0))))))), 3'(0(2(2(0(3(x0)))))), 0'(2(2(0(3(x0))))), 2'(2(0(3(x0)))), 2'(0(3(x0))), 0'(3(x0)), 3'(x0))
   0'(c_0(c_2(c_0(c_3(c_3(c_2(c_3(c_1(c_3(c_1(c_0(c_2(c_1(c_3(c_0(c_2(c_0(x0)))))))))))))))))) -> c9(0'(0(1(1(3(c_0(3(3(1(2(0(2(3(0(2(2(0(3(x0)))))))))))))))))), 0'(1(1(3(0(3(3(1(2(0(2(3(0(2(2(0(3(x0))))))))))))))))), 1'(1(3(0(3(3(1(2(0(2(3(0(2(2(0(3(x0)))))))))))))))), 1'(3(0(3(3(1(2(0(2(3(0(2(2(0(3(x0))))))))))))))), 3'(0(3(3(1(2(0(2(3(0(2(2(0(3(x0)))))))))))))), 0'(3(3(1(2(0(2(3(0(2(2(0(3(x0))))))))))))), 3'(3(1(2(0(2(3(0(2(2(0(3(x0)))))))))))), 3'(1(2(0(2(3(0(2(2(0(3(x0))))))))))), 1'(2(0(2(3(0(2(2(0(3(x0)))))))))), 2'(0(2(3(0(2(2(0(3(x0))))))))), 0'(2(3(0(2(2(0(3(x0)))))))), 2'(3(0(2(2(0(3(x0))))))), 3'(0(2(2(0(3(x0)))))), 0'(2(2(0(3(x0))))), 2'(2(0(3(x0)))), 2'(0(3(x0))), 0'(3(x0)), 3'(x0))
   0'(c_0(c_2(c_0(c_3(c_3(c_2(c_3(c_1(c_3(c_1(c_0(c_2(c_1(c_3(c_0(c_2(c_0(x0)))))))))))))))))) -> c9(0'(0(1(1(3(0(c_3(3(1(2(0(2(3(0(2(2(0(3(x0)))))))))))))))))), 0'(1(1(3(0(3(3(1(2(0(2(3(0(2(2(0(3(x0))))))))))))))))), 1'(1(3(0(3(3(1(2(0(2(3(0(2(2(0(3(x0)))))))))))))))), 1'(3(0(3(3(1(2(0(2(3(0(2(2(0(3(x0))))))))))))))), 3'(0(3(3(1(2(0(2(3(0(2(2(0(3(x0)))))))))))))), 0'(3(3(1(2(0(2(3(0(2(2(0(3(x0))))))))))))), 3'(3(1(2(0(2(3(0(2(2(0(3(x0)))))))))))), 3'(1(2(0(2(3(0(2(2(0(3(x0))))))))))), 1'(2(0(2(3(0(2(2(0(3(x0)))))))))), 2'(0(2(3(0(2(2(0(3(x0))))))))), 0'(2(3(0(2(2(0(3(x0)))))))), 2'(3(0(2(2(0(3(x0))))))), 3'(0(2(2(0(3(x0)))))), 0'(2(2(0(3(x0))))), 2'(2(0(3(x0)))), 2'(0(3(x0))), 0'(3(x0)), 3'(x0))
   0'(c_0(c_2(c_0(c_3(c_3(c_2(c_3(c_1(c_3(c_1(c_0(c_2(c_1(c_3(c_0(c_2(c_0(x0)))))))))))))))))) -> c9(0'(0(1(1(3(0(3(c_3(1(2(0(2(3(0(2(2(0(3(x0)))))))))))))))))), 0'(1(1(3(0(3(3(1(2(0(2(3(0(2(2(0(3(x0))))))))))))))))), 1'(1(3(0(3(3(1(2(0(2(3(0(2(2(0(3(x0)))))))))))))))), 1'(3(0(3(3(1(2(0(2(3(0(2(2(0(3(x0))))))))))))))), 3'(0(3(3(1(2(0(2(3(0(2(2(0(3(x0)))))))))))))), 0'(3(3(1(2(0(2(3(0(2(2(0(3(x0))))))))))))), 3'(3(1(2(0(2(3(0(2(2(0(3(x0)))))))))))), 3'(1(2(0(2(3(0(2(2(0(3(x0))))))))))), 1'(2(0(2(3(0(2(2(0(3(x0)))))))))), 2'(0(2(3(0(2(2(0(3(x0))))))))), 0'(2(3(0(2(2(0(3(x0)))))))), 2'(3(0(2(2(0(3(x0))))))), 3'(0(2(2(0(3(x0)))))), 0'(2(2(0(3(x0))))), 2'(2(0(3(x0)))), 2'(0(3(x0))), 0'(3(x0)), 3'(x0))
   0'(c_0(c_2(c_0(c_3(c_3(c_2(c_3(c_1(c_3(c_1(c_0(c_2(c_1(c_3(c_0(c_2(c_0(x0)))))))))))))))))) -> c9(0'(0(1(1(3(0(3(3(c_1(2(0(2(3(0(2(2(0(3(x0)))))))))))))))))), 0'(1(1(3(0(3(3(1(2(0(2(3(0(2(2(0(3(x0))))))))))))))))), 1'(1(3(0(3(3(1(2(0(2(3(0(2(2(0(3(x0)))))))))))))))), 1'(3(0(3(3(1(2(0(2(3(0(2(2(0(3(x0))))))))))))))), 3'(0(3(3(1(2(0(2(3(0(2(2(0(3(x0)))))))))))))), 0'(3(3(1(2(0(2(3(0(2(2(0(3(x0))))))))))))), 3'(3(1(2(0(2(3(0(2(2(0(3(x0)))))))))))), 3'(1(2(0(2(3(0(2(2(0(3(x0))))))))))), 1'(2(0(2(3(0(2(2(0(3(x0)))))))))), 2'(0(2(3(0(2(2(0(3(x0))))))))), 0'(2(3(0(2(2(0(3(x0)))))))), 2'(3(0(2(2(0(3(x0))))))), 3'(0(2(2(0(3(x0)))))), 0'(2(2(0(3(x0))))), 2'(2(0(3(x0)))), 2'(0(3(x0))), 0'(3(x0)), 3'(x0))
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   0'(c_0(c_2(c_0(c_3(c_3(c_2(c_3(c_1(c_3(c_1(c_0(c_2(c_1(c_3(c_0(c_2(c_0(c_3(c_0(c_3(c_1(c_0(c_0(c_2(c_2(c_2(c_0(c_0(c_0(c_2(c_2(c_1(c_3(c_2(z0))))))))))))))))))))))))))))))))))) -> c9(0'(0(1(1(3(0(3(3(1(2(0(2(3(0(2(2(0(0(3(2(0(3(3(1(2(1(2(2(0(3(0(0(0(2(2(z0))))))))))))))))))))))))))))))))))), 0'(1(1(3(0(3(3(1(2(0(2(3(0(2(2(0(3(c_3(c_0(c_3(c_1(c_0(c_0(c_2(c_2(c_2(c_0(c_0(c_0(c_2(c_2(c_1(c_3(c_2(z0)))))))))))))))))))))))))))))))))), 1'(1(3(0(3(3(1(2(0(2(3(0(2(2(0(3(c_3(c_0(c_3(c_1(c_0(c_0(c_2(c_2(c_2(c_0(c_0(c_0(c_2(c_2(c_1(c_3(c_2(z0))))))))))))))))))))))))))))))))), 1'(3(0(3(3(1(2(0(2(3(0(2(2(0(3(c_3(c_0(c_3(c_1(c_0(c_0(c_2(c_2(c_2(c_0(c_0(c_0(c_2(c_2(c_1(c_3(c_2(z0)))))))))))))))))))))))))))))))), 3'(0(3(3(1(2(0(2(3(0(2(2(0(3(c_3(c_0(c_3(c_1(c_0(c_0(c_2(c_2(c_2(c_0(c_0(c_0(c_2(c_2(c_1(c_3(c_2(z0))))))))))))))))))))))))))))))), 0'(3(3(1(2(0(2(3(0(2(2(0(3(c_3(c_0(c_3(c_1(c_0(c_0(c_2(c_2(c_2(c_0(c_0(c_0(c_2(c_2(c_1(c_3(c_2(z0)))))))))))))))))))))))))))))), 3'(3(1(2(0(2(3(0(2(2(0(3(c_3(c_0(c_3(c_1(c_0(c_0(c_2(c_2(c_2(c_0(c_0(c_0(c_2(c_2(c_1(c_3(c_2(z0))))))))))))))))))))))))))))), 3'(1(2(0(2(3(0(2(2(0(3(c_3(c_0(c_3(c_1(c_0(c_0(c_2(c_2(c_2(c_0(c_0(c_0(c_2(c_2(c_1(c_3(c_2(z0)))))))))))))))))))))))))))), 1'(2(0(2(3(0(2(2(0(3(c_3(c_0(c_3(c_1(c_0(c_0(c_2(c_2(c_2(c_0(c_0(c_0(c_2(c_2(c_1(c_3(c_2(z0))))))))))))))))))))))))))), 2'(0(2(3(0(2(2(0(3(c_3(c_0(c_3(c_1(c_0(c_0(c_2(c_2(c_2(c_0(c_0(c_0(c_2(c_2(c_1(c_3(c_2(z0)))))))))))))))))))))))))), 0'(2(3(0(2(2(0(3(c_3(c_0(c_3(c_1(c_0(c_0(c_2(c_2(c_2(c_0(c_0(c_0(c_2(c_2(c_1(c_3(c_2(z0))))))))))))))))))))))))), 2'(3(0(2(2(0(3(c_3(c_0(c_3(c_1(c_0(c_0(c_2(c_2(c_2(c_0(c_0(c_0(c_2(c_2(c_1(c_3(c_2(z0)))))))))))))))))))))))), 3'(0(2(2(0(3(c_3(c_0(c_3(c_1(c_0(c_0(c_2(c_2(c_2(c_0(c_0(c_0(c_2(c_2(c_1(c_3(c_2(z0))))))))))))))))))))))), 0'(2(2(0(3(c_3(c_0(c_3(c_1(c_0(c_0(c_2(c_2(c_2(c_0(c_0(c_0(c_2(c_2(c_1(c_3(c_2(z0)))))))))))))))))))))), 2'(2(0(3(c_3(c_0(c_3(c_1(c_0(c_0(c_2(c_2(c_2(c_0(c_0(c_0(c_2(c_2(c_1(c_3(c_2(z0))))))))))))))))))))), 2'(0(3(c_3(c_0(c_3(c_1(c_0(c_0(c_2(c_2(c_2(c_0(c_0(c_0(c_2(c_2(c_1(c_3(c_2(z0)))))))))))))))))))), 0'(3(c_3(c_0(c_3(c_1(c_0(c_0(c_2(c_2(c_2(c_0(c_0(c_0(c_2(c_2(c_1(c_3(c_2(z0))))))))))))))))))), 3'(c_3(c_0(c_3(c_1(c_0(c_0(c_2(c_2(c_2(c_0(c_0(c_0(c_2(c_2(c_1(c_3(c_2(z0)))))))))))))))))))
S tuples:
   0'(c_0(c_2(c_0(c_3(c_0(c_2(c_2(c_3(c_0(c_2(c_0(c_0(c_2(c_3(c_0(c_0(c_2(z0)))))))))))))))))) -> c10(0'(0(3(2(2(0(2(0(0(0(2(2(0(3(0(0(3(2(z0)))))))))))))))))), 0'(3(2(2(0(2(0(0(0(2(2(0(3(0(0(3(2(z0))))))))))))))))), 3'(2(2(0(2(0(0(0(2(2(0(3(0(0(3(2(z0)))))))))))))))), 2'(2(0(2(0(0(0(2(2(0(3(0(0(3(2(z0))))))))))))))), 2'(0(2(0(0(0(2(2(0(3(0(0(3(2(z0)))))))))))))), 0'(2(0(0(0(2(2(0(3(0(0(3(2(z0))))))))))))), 2'(0(0(0(2(2(0(3(0(0(3(2(z0)))))))))))), 0'(0(0(2(2(0(3(0(0(3(2(z0))))))))))), 0'(0(2(2(0(3(0(0(3(2(z0)))))))))), 0'(2(2(0(3(0(0(3(2(z0))))))))), 2'(2(0(3(0(0(3(2(z0)))))))), 2'(0(3(0(0(3(2(z0))))))), 0'(3(0(0(3(2(z0)))))), 3'(0(0(3(2(z0))))), 0'(0(3(2(z0)))), 0'(3(2(z0))), 3'(2(z0)), 2'(z0))
   0'(c_0(c_0(c_1(c_3(c_3(c_2(c_2(c_3(c_0(c_0(c_1(c_3(c_2(c_2(c_3(c_3(c_2(z0)))))))))))))))))) -> c11(3'(0(2(3(0(3(0(3(0(0(1(2(3(3(1(2(2(2(z0)))))))))))))))))), 0'(2(3(0(3(0(3(0(0(1(2(3(3(1(2(2(2(z0))))))))))))))))), 2'(3(0(3(0(3(0(0(1(2(3(3(1(2(2(2(z0)))))))))))))))), 3'(0(3(0(3(0(0(1(2(3(3(1(2(2(2(z0))))))))))))))), 0'(3(0(3(0(0(1(2(3(3(1(2(2(2(z0)))))))))))))), 3'(0(3(0(0(1(2(3(3(1(2(2(2(z0))))))))))))), 0'(3(0(0(1(2(3(3(1(2(2(2(z0)))))))))))), 3'(0(0(1(2(3(3(1(2(2(2(z0))))))))))), 0'(0(1(2(3(3(1(2(2(2(z0)))))))))), 0'(1(2(3(3(1(2(2(2(z0))))))))), 1'(2(3(3(1(2(2(2(z0)))))))), 2'(3(3(1(2(2(2(z0))))))), 3'(3(1(2(2(2(z0)))))), 3'(1(2(2(2(z0))))), 1'(2(2(2(z0)))), 2'(2(2(z0))), 2'(2(z0)), 2'(z0))
   0'(c_0(c_0(c_2(c_2(c_3(c_0(c_0(c_1(c_0(c_0(c_0(c_1(c_0(c_3(c_1(c_2(c_2(z0)))))))))))))))))) -> c12(0'(0(0(3(2(0(1(3(0(2(1(0(0(1(2(0(0(2(z0)))))))))))))))))), 0'(0(3(2(0(1(3(0(2(1(0(0(1(2(0(0(2(z0))))))))))))))))), 0'(3(2(0(1(3(0(2(1(0(0(1(2(0(0(2(z0)))))))))))))))), 3'(2(0(1(3(0(2(1(0(0(1(2(0(0(2(z0))))))))))))))), 2'(0(1(3(0(2(1(0(0(1(2(0(0(2(z0)))))))))))))), 0'(1(3(0(2(1(0(0(1(2(0(0(2(z0))))))))))))), 1'(3(0(2(1(0(0(1(2(0(0(2(z0)))))))))))), 3'(0(2(1(0(0(1(2(0(0(2(z0))))))))))), 0'(2(1(0(0(1(2(0(0(2(z0)))))))))), 2'(1(0(0(1(2(0(0(2(z0))))))))), 1'(0(0(1(2(0(0(2(z0)))))))), 0'(0(1(2(0(0(2(z0))))))), 0'(1(2(0(0(2(z0)))))), 1'(2(0(0(2(z0))))), 2'(0(0(2(z0)))), 0'(0(2(z0))), 0'(2(z0)), 2'(z0))
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   0'(c_0(c_2(c_0(c_3(c_3(c_2(c_3(c_1(c_3(c_1(c_0(c_2(c_1(c_3(c_0(c_2(c_0(c_3(c_0(c_3(c_1(c_0(c_0(c_2(c_2(c_2(c_0(c_0(c_0(c_2(c_2(c_1(c_3(c_2(z0))))))))))))))))))))))))))))))))))) -> c9(0'(0(1(1(3(0(3(3(1(2(0(2(3(0(2(2(0(0(3(2(0(3(3(1(2(1(2(2(0(3(0(0(0(2(2(z0))))))))))))))))))))))))))))))))))), 0'(1(1(3(0(3(3(1(2(0(2(3(0(2(2(0(3(c_3(c_0(c_3(c_1(c_0(c_0(c_2(c_2(c_2(c_0(c_0(c_0(c_2(c_2(c_1(c_3(c_2(z0)))))))))))))))))))))))))))))))))), 1'(1(3(0(3(3(1(2(0(2(3(0(2(2(0(3(c_3(c_0(c_3(c_1(c_0(c_0(c_2(c_2(c_2(c_0(c_0(c_0(c_2(c_2(c_1(c_3(c_2(z0))))))))))))))))))))))))))))))))), 1'(3(0(3(3(1(2(0(2(3(0(2(2(0(3(c_3(c_0(c_3(c_1(c_0(c_0(c_2(c_2(c_2(c_0(c_0(c_0(c_2(c_2(c_1(c_3(c_2(z0)))))))))))))))))))))))))))))))), 3'(0(3(3(1(2(0(2(3(0(2(2(0(3(c_3(c_0(c_3(c_1(c_0(c_0(c_2(c_2(c_2(c_0(c_0(c_0(c_2(c_2(c_1(c_3(c_2(z0))))))))))))))))))))))))))))))), 0'(3(3(1(2(0(2(3(0(2(2(0(3(c_3(c_0(c_3(c_1(c_0(c_0(c_2(c_2(c_2(c_0(c_0(c_0(c_2(c_2(c_1(c_3(c_2(z0)))))))))))))))))))))))))))))), 3'(3(1(2(0(2(3(0(2(2(0(3(c_3(c_0(c_3(c_1(c_0(c_0(c_2(c_2(c_2(c_0(c_0(c_0(c_2(c_2(c_1(c_3(c_2(z0))))))))))))))))))))))))))))), 3'(1(2(0(2(3(0(2(2(0(3(c_3(c_0(c_3(c_1(c_0(c_0(c_2(c_2(c_2(c_0(c_0(c_0(c_2(c_2(c_1(c_3(c_2(z0)))))))))))))))))))))))))))), 1'(2(0(2(3(0(2(2(0(3(c_3(c_0(c_3(c_1(c_0(c_0(c_2(c_2(c_2(c_0(c_0(c_0(c_2(c_2(c_1(c_3(c_2(z0))))))))))))))))))))))))))), 2'(0(2(3(0(2(2(0(3(c_3(c_0(c_3(c_1(c_0(c_0(c_2(c_2(c_2(c_0(c_0(c_0(c_2(c_2(c_1(c_3(c_2(z0)))))))))))))))))))))))))), 0'(2(3(0(2(2(0(3(c_3(c_0(c_3(c_1(c_0(c_0(c_2(c_2(c_2(c_0(c_0(c_0(c_2(c_2(c_1(c_3(c_2(z0))))))))))))))))))))))))), 2'(3(0(2(2(0(3(c_3(c_0(c_3(c_1(c_0(c_0(c_2(c_2(c_2(c_0(c_0(c_0(c_2(c_2(c_1(c_3(c_2(z0)))))))))))))))))))))))), 3'(0(2(2(0(3(c_3(c_0(c_3(c_1(c_0(c_0(c_2(c_2(c_2(c_0(c_0(c_0(c_2(c_2(c_1(c_3(c_2(z0))))))))))))))))))))))), 0'(2(2(0(3(c_3(c_0(c_3(c_1(c_0(c_0(c_2(c_2(c_2(c_0(c_0(c_0(c_2(c_2(c_1(c_3(c_2(z0)))))))))))))))))))))), 2'(2(0(3(c_3(c_0(c_3(c_1(c_0(c_0(c_2(c_2(c_2(c_0(c_0(c_0(c_2(c_2(c_1(c_3(c_2(z0))))))))))))))))))))), 2'(0(3(c_3(c_0(c_3(c_1(c_0(c_0(c_2(c_2(c_2(c_0(c_0(c_0(c_2(c_2(c_1(c_3(c_2(z0)))))))))))))))))))), 0'(3(c_3(c_0(c_3(c_1(c_0(c_0(c_2(c_2(c_2(c_0(c_0(c_0(c_2(c_2(c_1(c_3(c_2(z0))))))))))))))))))), 3'(c_3(c_0(c_3(c_1(c_0(c_0(c_2(c_2(c_2(c_0(c_0(c_0(c_2(c_2(c_1(c_3(c_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_1_1, ENCODE_3_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, c30_18, c31_18, c32_18, c33_18, c34_18, c35_18, c36_18, c37_18, c38_18, c39_18, c40_18, c41_18, c42_18, c44_18, c45_18, c46_18, c47_18, c48_18, c49_18, c50_18, c51_18, c52_18, c53_18, c54_18, c55_18, c56_18, c57_18, c58_18, c59_18, c60_18, c61_18, c62_18, c63_18, c64_18, c65_18, c67_18, c68_18, c69_18, c70_18, c71_18, c72_18, c73_18, c74_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