/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# AProVE Commit ID: 794c25de1cacf0d048858bcd21c9a779e1221865 marcel 20200619 unpublished dirty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), 169 ms]
(4) CpxRelTRS
(5) RenamingProof [BOTH BOUNDS(ID, ID), 0 ms]
(6) CpxRelTRS
    (7) TypeInferenceProof [BOTH BOUNDS(ID, ID), 1 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), 1279 ms]
    (18) CpxRelTRS
    (19) RelTrsToWeightedTrsProof [BOTH BOUNDS(ID, ID), 0 ms]
    (20) CpxWeightedTrs
        (21) CpxWeightedTrsRenamingProof [BOTH BOUNDS(ID, ID), 43 ms]
        (22) CpxWeightedTrs
        (23) TypeInferenceProof [BOTH BOUNDS(ID, ID), 0 ms]
        (24) CpxTypedWeightedTrs
        (25) CompletionProof [UPPER BOUND(ID), 0 ms]
        (26) CpxTypedWeightedCompleteTrs
            (27) NarrowingProof [BOTH BOUNDS(ID, ID), 1738 ms]
            (28) CpxTypedWeightedCompleteTrs
            (29) CpxTypedWeightedTrsToRntsProof [UPPER BOUND(ID), 127 ms]
            (30) CpxRNTS
            (31) SimplificationProof [BOTH BOUNDS(ID, ID), 88 ms]
            (32) CpxRNTS
        (33) CompletionProof [UPPER BOUND(ID), 0 ms]
        (34) CpxTypedWeightedCompleteTrs
            (35) CpxTypedWeightedTrsToRntsProof [UPPER BOUND(ID), 31 ms]
            (36) CpxRNTS
    (37) CpxTrsToCdtProof [UPPER BOUND(ID), 1004 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), 7189 ms]
        (46) CdtProblem
        (47) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 2374 ms]
        (48) CdtProblem
        (49) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 2416 ms]
        (50) CdtProblem
        (51) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 2281 ms]
        (52) CdtProblem
        (53) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 2278 ms]
        (54) CdtProblem
        (55) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 5607 ms]
        (56) CdtProblem
        (57) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 5878 ms]
        (58) 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(2(2(1(3(2(2(2(1(0(2(2(0(2(2(0(0(x1)))))))))))))))))) -> 0(2(2(2(2(1(3(0(0(2(1(0(2(2(2(2(0(0(x1))))))))))))))))))
   0(0(3(1(0(2(2(0(2(3(1(1(0(1(2(2(0(1(x1)))))))))))))))))) -> 0(2(1(1(3(0(0(0(1(0(2(3(1(2(2(0(2(1(x1))))))))))))))))))
   0(1(0(2(1(1(0(0(1(0(3(1(1(0(2(1(2(3(x1)))))))))))))))))) -> 0(1(2(0(0(2(1(1(0(1(1(1(0(1(3(0(2(3(x1))))))))))))))))))
   0(1(0(3(2(0(0(0(3(3(0(2(2(2(2(1(1(1(x1)))))))))))))))))) -> 0(0(1(1(3(0(3(0(0(2(2(2(0(2(2(1(3(1(x1))))))))))))))))))
   0(1(1(1(1(3(1(1(0(1(3(1(0(2(3(3(3(2(x1)))))))))))))))))) -> 0(2(0(1(3(1(1(3(1(0(1(3(2(1(3(1(1(3(x1))))))))))))))))))
   0(1(2(3(2(1(0(1(2(2(0(0(1(0(3(1(0(1(x1)))))))))))))))))) -> 0(2(1(1(1(0(2(2(0(0(1(1(0(3(0(1(3(2(x1))))))))))))))))))
   0(2(1(0(3(0(3(0(3(2(0(1(0(1(2(2(1(1(x1)))))))))))))))))) -> 0(2(3(0(3(2(2(1(2(1(1(0(0(3(0(0(1(1(x1))))))))))))))))))
   0(2(3(0(1(2(3(2(0(3(1(0(0(0(3(3(0(3(x1)))))))))))))))))) -> 0(2(1(3(0(0(3(3(0(1(0(2(2(3(3(0(0(3(x1))))))))))))))))))
   0(3(0(1(0(3(0(1(1(1(2(0(0(0(3(2(1(0(x1)))))))))))))))))) -> 0(0(2(2(1(3(0(0(1(3(0(1(0(1(0(0(1(3(x1))))))))))))))))))
   0(3(1(1(2(3(0(3(0(1(0(1(2(2(1(0(2(2(x1)))))))))))))))))) -> 0(0(1(3(0(0(2(2(2(3(2(1(1(1(1(0(3(2(x1))))))))))))))))))
   0(3(2(0(3(1(0(1(0(3(0(3(0(0(3(0(0(0(x1)))))))))))))))))) -> 0(3(0(0(0(0(1(2(0(3(3(0(0(3(0(1(3(0(x1))))))))))))))))))
   1(0(0(0(1(2(3(3(2(2(1(0(2(3(3(2(0(3(x1)))))))))))))))))) -> 3(0(2(1(1(3(3(1(0(0(2(0(2(2(3(2(0(3(x1))))))))))))))))))
   1(0(1(0(2(0(2(3(1(1(2(2(0(0(3(0(3(2(x1)))))))))))))))))) -> 0(0(0(1(1(3(1(3(2(0(0(2(2(1(3(0(2(2(x1))))))))))))))))))
   1(0(1(3(2(2(3(2(0(0(1(0(3(2(3(2(3(3(x1)))))))))))))))))) -> 1(3(3(1(2(2(0(3(0(0(1(3(0(2(2(3(2(3(x1))))))))))))))))))
   1(0(2(3(1(2(3(1(2(3(2(3(2(1(2(2(2(2(x1)))))))))))))))))) -> 2(3(2(2(3(0(2(1(3(2(2(1(1(1(3(2(2(2(x1))))))))))))))))))
   1(0(2(3(3(3(1(0(2(0(1(2(2(3(2(1(0(1(x1)))))))))))))))))) -> 2(3(2(1(0(1(3(1(3(0(2(3(0(2(0(1(2(1(x1))))))))))))))))))
   1(0(3(0(3(1(0(3(3(1(2(1(3(2(0(2(1(0(x1)))))))))))))))))) -> 2(2(1(3(0(0(1(3(1(0(2(0(0(3(3(3(1(1(x1))))))))))))))))))
   1(0(3(3(1(0(3(3(3(1(1(3(2(0(0(1(3(1(x1)))))))))))))))))) -> 1(3(3(0(1(3(3(0(1(3(3(0(1(3(2(1(0(1(x1))))))))))))))))))
   1(1(0(0(1(2(1(2(2(0(3(1(2(3(2(0(0(3(x1)))))))))))))))))) -> 1(2(2(0(2(1(0(2(1(0(0(2(3(0(1(1(3(3(x1))))))))))))))))))
   1(1(0(3(1(0(2(3(1(1(0(3(3(0(3(1(1(1(x1)))))))))))))))))) -> 1(1(3(1(3(2(3(0(1(0(3(0(1(3(1(0(1(1(x1))))))))))))))))))
   1(1(0(3(1(0(3(3(3(1(1(2(2(2(2(0(1(2(x1)))))))))))))))))) -> 2(1(1(0(0(1(1(2(3(3(3(0(1(2(3(2(1(2(x1))))))))))))))))))
   1(1(1(1(0(1(3(2(1(1(2(2(0(2(2(3(0(2(x1)))))))))))))))))) -> 1(1(1(2(3(0(2(2(1(1(1(2(3(0(1(2(0(2(x1))))))))))))))))))
   1(1(1(2(1(1(1(2(1(3(1(0(1(2(1(2(3(1(x1)))))))))))))))))) -> 1(1(1(1(1(1(3(0(2(2(1(1(1(2(3(1(2(1(x1))))))))))))))))))
   1(1(1(3(1(3(1(0(3(2(1(3(2(1(0(3(0(3(x1)))))))))))))))))) -> 1(2(2(3(0(1(3(1(1(3(0(0(1(3(1(1(3(3(x1))))))))))))))))))
   1(1(3(2(0(2(3(1(0(1(0(2(3(3(2(2(0(0(x1)))))))))))))))))) -> 2(0(2(3(2(0(2(0(1(2(1(3(0(1(3(0(1(3(x1))))))))))))))))))
   1(1(3(3(2(1(3(3(2(0(1(3(3(3(0(3(2(1(x1)))))))))))))))))) -> 1(3(1(3(0(3(3(3(1(3(3(2(3(1(2(0(2(1(x1))))))))))))))))))
   1(2(0(0(2(1(3(2(2(3(2(2(0(3(2(3(2(2(x1)))))))))))))))))) -> 1(2(0(3(2(2(2(2(3(0(0(2(2(2(3(1(3(2(x1))))))))))))))))))
   1(2(0(1(2(1(0(2(0(0(3(1(0(2(0(3(2(2(x1)))))))))))))))))) -> 1(1(0(0(0(2(1(0(2(0(3(2(2(1(0(2(3(2(x1))))))))))))))))))
   1(2(0(2(0(0(0(3(0(1(0(1(1(0(3(1(0(3(x1)))))))))))))))))) -> 1(3(0(3(1(1(0(1(1(0(0(0(2(2(3(0(0(0(x1))))))))))))))))))
   1(2(1(0(3(1(3(3(2(2(2(2(0(0(3(1(0(1(x1)))))))))))))))))) -> 3(1(2(0(1(3(2(3(2(2(0(0(0(2(3(1(1(1(x1))))))))))))))))))
   1(2(1(2(1(2(0(1(0(1(3(1(0(0(0(1(3(3(x1)))))))))))))))))) -> 1(1(2(2(1(0(1(3(0(1(1(3(0(2(1(3(0(0(x1))))))))))))))))))
   1(2(1(3(2(3(3(1(1(1(0(1(0(0(3(2(0(3(x1)))))))))))))))))) -> 1(3(3(2(3(0(2(1(3(1(1(3(1(2(1(0(0(0(x1))))))))))))))))))
   1(2(3(0(3(2(0(2(0(2(0(3(2(0(2(2(0(0(x1)))))))))))))))))) -> 1(2(2(2(0(3(3(0(0(2(0(0(0(2(2(2(3(0(x1))))))))))))))))))
   1(2(3(1(1(0(0(3(3(0(2(1(3(3(0(3(2(3(x1)))))))))))))))))) -> 3(1(3(0(2(3(3(1(3(0(2(1(2(0(0(1(3(3(x1))))))))))))))))))
   1(2(3(3(1(2(2(2(1(0(1(2(0(1(3(2(0(1(x1)))))))))))))))))) -> 3(3(0(0(2(0(2(2(1(1(1(3(1(2(2(1(2(1(x1))))))))))))))))))
   1(2(3(3(2(1(0(3(2(2(1(0(3(1(0(0(0(0(x1)))))))))))))))))) -> 0(3(0(1(2(1(3(0(1(0(2(1(2(3(3(0(2(0(x1))))))))))))))))))
   1(3(1(1(0(1(2(1(1(1(0(3(1(1(0(2(3(1(x1)))))))))))))))))) -> 1(1(3(2(1(3(1(1(0(0(1(3(2(1(0(1(1(1(x1))))))))))))))))))
   1(3(1(3(2(0(1(3(1(1(3(2(3(3(3(3(0(1(x1)))))))))))))))))) -> 1(3(3(3(1(2(3(1(3(0(2(1(1(3(0(3(3(1(x1))))))))))))))))))
   1(3(2(2(1(0(1(2(1(0(3(1(0(3(2(3(0(3(x1)))))))))))))))))) -> 3(1(3(2(1(1(0(0(2(0(0(3(1(3(2(2(1(3(x1))))))))))))))))))
   1(3(3(0(0(3(3(1(0(0(2(3(3(1(3(2(3(1(x1)))))))))))))))))) -> 1(3(0(0(1(3(0(1(3(3(2(2(3(3(3(3(0(1(x1))))))))))))))))))
   1(3(3(0(1(1(3(2(2(1(1(0(3(1(2(1(0(0(x1)))))))))))))))))) -> 1(3(1(1(0(0(1(1(2(1(3(0(2(3(1(0(2(3(x1))))))))))))))))))
   1(3(3(2(2(1(0(3(2(1(1(1(2(3(1(0(1(0(x1)))))))))))))))))) -> 2(0(1(2(1(2(1(3(1(1(3(0(3(2(1(3(0(1(x1))))))))))))))))))
   2(0(0(3(1(2(3(2(0(2(3(0(1(2(2(0(0(2(x1)))))))))))))))))) -> 2(0(2(3(1(3(0(0(3(2(0(1(0(2(0(2(2(2(x1))))))))))))))))))
   2(0(1(0(2(2(2(2(0(3(2(3(1(2(3(0(3(2(x1)))))))))))))))))) -> 2(0(2(0(2(2(3(0(3(3(1(3(0(1(2(2(2(2(x1))))))))))))))))))
   2(0(1(3(3(3(3(3(1(1(3(2(0(1(0(0(1(0(x1)))))))))))))))))) -> 1(3(0(2(1(1(3(0(2(3(0(0(3(1(3(3(1(0(x1))))))))))))))))))
   2(0(3(0(3(2(3(2(1(0(1(2(2(0(0(0(1(2(x1)))))))))))))))))) -> 0(2(2(1(2(0(1(2(0(3(0(0(2(1(3(0(3(2(x1))))))))))))))))))
   2(1(0(1(1(3(3(0(1(0(1(2(3(3(0(3(2(2(x1)))))))))))))))))) -> 0(3(3(1(3(3(0(2(1(1(3(1(0(2(1(2(0(2(x1))))))))))))))))))
   2(1(1(1(0(2(2(2(1(0(2(0(0(2(2(2(2(1(x1)))))))))))))))))) -> 2(2(2(2(1(1(2(0(1(0(0(0(2(1(2(2(2(1(x1))))))))))))))))))
   2(1(2(2(2(0(2(1(2(3(0(0(3(1(2(2(1(3(x1)))))))))))))))))) -> 0(2(0(2(1(3(2(2(1(3(2(2(1(3(0(2(1(2(x1))))))))))))))))))
   2(1(2(2(2(1(3(2(0(0(2(3(2(3(3(3(0(3(x1)))))))))))))))))) -> 2(3(3(1(3(2(0(3(2(1(3(0(2(2(2(2(3(0(x1))))))))))))))))))
   2(1(2(2(3(2(3(0(1(3(2(1(1(3(3(2(2(2(x1)))))))))))))))))) -> 2(1(1(1(3(2(3(2(2(3(0(2(3(2(1(3(2(2(x1))))))))))))))))))
   2(1(2(3(3(3(0(2(0(0(2(2(1(0(2(0(2(0(x1)))))))))))))))))) -> 0(3(0(2(2(2(1(3(0(0(1(3(0(0(2(2(2(2(x1))))))))))))))))))
   2(1(3(3(3(1(2(1(2(1(0(0(3(1(3(2(0(0(x1)))))))))))))))))) -> 2(1(3(0(1(3(1(0(2(2(0(0(1(3(1(3(2(3(x1))))))))))))))))))
   2(2(0(0(2(1(1(2(1(2(0(1(2(2(2(2(2(2(x1)))))))))))))))))) -> 2(2(2(2(1(1(0(2(1(1(2(2(0(2(0(2(2(2(x1))))))))))))))))))
   2(2(0(3(1(2(0(3(1(2(1(3(0(1(0(3(0(0(x1)))))))))))))))))) -> 2(3(2(2(1(3(0(3(0(1(3(0(0(0(1(1(2(0(x1))))))))))))))))))
   2(2(1(0(1(2(0(0(3(0(2(1(1(2(1(2(1(2(x1)))))))))))))))))) -> 2(2(1(0(3(2(1(1(1(0(0(2(0(1(2(2(1(2(x1))))))))))))))))))
   2(2(1(1(2(3(1(2(1(3(1(0(2(2(0(3(1(1(x1)))))))))))))))))) -> 2(2(1(2(3(1(1(3(1(2(2(1(0(0(2(1(3(1(x1))))))))))))))))))
   2(2(1(1(3(1(0(0(1(2(3(2(3(1(0(1(1(0(x1)))))))))))))))))) -> 0(1(2(2(3(1(0(2(1(3(2(1(1(3(0(1(1(0(x1))))))))))))))))))
   2(2(1(2(3(2(0(2(0(3(1(0(1(1(0(1(3(3(x1)))))))))))))))))) -> 2(2(0(1(2(0(1(2(3(1(0(2(0(1(3(1(3(3(x1))))))))))))))))))
   2(2(2(2(1(1(0(1(1(2(2(0(0(1(2(2(1(1(x1)))))))))))))))))) -> 0(2(1(2(0(2(0(2(2(1(2(2(2(1(1(1(1(1(x1))))))))))))))))))
   2(2(3(1(2(3(0(3(1(1(1(0(1(1(0(1(3(1(x1)))))))))))))))))) -> 2(3(1(1(2(0(1(3(1(1(0(1(1(3(1(3(0(2(x1))))))))))))))))))
   2(2(3(3(1(3(1(1(0(1(2(2(0(3(2(0(3(3(x1)))))))))))))))))) -> 2(2(3(1(3(2(1(3(3(1(0(0(2(3(3(1(0(2(x1))))))))))))))))))
   2(3(0(2(0(3(2(0(2(3(2(1(2(2(2(3(0(3(x1)))))))))))))))))) -> 2(3(2(3(3(0(0(2(2(2(1(3(2(0(2(3(2(0(x1))))))))))))))))))
   2(3(1(0(1(0(1(2(1(0(3(1(0(3(1(2(2(3(x1)))))))))))))))))) -> 2(1(2(1(1(0(1(0(2(3(0(0(3(3(3(1(1(2(x1))))))))))))))))))
   2(3(1(0(2(3(1(0(0(1(0(1(0(1(2(2(1(0(x1)))))))))))))))))) -> 2(0(3(1(0(1(0(1(2(0(2(2(1(3(0(0(1(1(x1))))))))))))))))))
   2(3(1(1(0(3(1(2(1(0(1(3(2(0(1(2(1(1(x1)))))))))))))))))) -> 2(3(2(0(1(1(1(3(2(1(1(3(0(0(1(1(2(1(x1))))))))))))))))))
   2(3(2(1(0(0(0(2(3(2(3(0(3(0(2(1(1(2(x1)))))))))))))))))) -> 2(2(3(0(3(0(2(1(0(2(2(0(1(3(1(3(0(2(x1))))))))))))))))))
   2(3(2(2(2(3(0(3(1(0(3(2(1(1(2(0(2(3(x1)))))))))))))))))) -> 2(2(1(1(0(1(2(3(3(0(3(3(2(2(2(0(2(3(x1))))))))))))))))))
   2(3(3(2(3(1(0(1(1(1(3(1(0(1(0(3(2(0(x1)))))))))))))))))) -> 2(1(0(0(1(2(3(1(1(3(3(3(1(1(3(2(0(0(x1))))))))))))))))))
   3(0(1(0(1(2(3(3(1(2(3(2(1(1(1(3(3(0(x1)))))))))))))))))) -> 3(0(1(2(1(3(3(1(3(0(1(3(1(2(0(1(3(2(x1))))))))))))))))))
   3(0(3(1(0(1(0(3(3(1(0(3(2(3(3(2(0(3(x1)))))))))))))))))) -> 1(3(0(2(0(0(3(3(2(1(3(0(3(3(1(3(3(0(x1))))))))))))))))))
   3(1(0(0(3(0(3(2(3(2(3(0(1(0(1(1(2(3(x1)))))))))))))))))) -> 3(0(1(3(2(3(3(1(1(0(2(0(0(3(1(3(0(2(x1))))))))))))))))))
   3(1(1(0(3(0(1(1(3(2(1(2(3(3(1(3(3(1(x1)))))))))))))))))) -> 3(1(3(2(1(1(1(3(3(0(3(2(1(3(0(1(3(1(x1))))))))))))))))))
   3(1(2(0(3(2(2(3(2(0(3(3(2(3(3(1(1(3(x1)))))))))))))))))) -> 3(2(2(3(1(3(3(2(1(3(3(0(2(0(2(3(1(3(x1))))))))))))))))))
   3(1(2(3(2(0(2(3(1(1(1(3(3(2(0(0(0(3(x1)))))))))))))))))) -> 3(1(3(2(1(3(0(2(1(0(0(2(3(1(2(3(3(0(x1))))))))))))))))))
   3(2(0(1(2(1(0(3(3(3(3(1(2(1(1(0(1(0(x1)))))))))))))))))) -> 3(0(0(2(1(3(2(3(3(1(1(3(1(1(0(2(0(1(x1))))))))))))))))))
   3(2(3(2(2(0(3(3(2(0(1(0(0(2(0(1(1(1(x1)))))))))))))))))) -> 3(0(1(3(2(0(3(0(1(2(3(0(2(0(2(2(1(1(x1))))))))))))))))))
   3(3(0(1(0(3(2(0(1(1(1(1(3(1(2(3(3(3(x1)))))))))))))))))) -> 3(2(3(1(1(1(0(3(3(0(2(1(3(0(1(3(1(3(x1))))))))))))))))))
   3(3(1(0(3(2(3(0(3(1(0(2(0(3(0(2(2(0(x1)))))))))))))))))) -> 3(3(3(2(0(3(0(3(0(1(0(0(1(3(0(2(2(2(x1))))))))))))))))))
   3(3(1(2(2(2(3(3(3(1(3(0(1(1(1(2(1(0(x1)))))))))))))))))) -> 3(3(3(1(2(3(1(3(0(2(2(1(3(0(2(1(1(1(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_2(x_1) -> 2(encArg(x_1))
   encode_1(x_1) -> 1(encArg(x_1))
   encode_3(x_1) -> 3(encArg(x_1))


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

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


The TRS R consists of the following rules:

   0(0(2(2(1(3(2(2(2(1(0(2(2(0(2(2(0(0(x1)))))))))))))))))) -> 0(2(2(2(2(1(3(0(0(2(1(0(2(2(2(2(0(0(x1))))))))))))))))))
   0(0(3(1(0(2(2(0(2(3(1(1(0(1(2(2(0(1(x1)))))))))))))))))) -> 0(2(1(1(3(0(0(0(1(0(2(3(1(2(2(0(2(1(x1))))))))))))))))))
   0(1(0(2(1(1(0(0(1(0(3(1(1(0(2(1(2(3(x1)))))))))))))))))) -> 0(1(2(0(0(2(1(1(0(1(1(1(0(1(3(0(2(3(x1))))))))))))))))))
   0(1(0(3(2(0(0(0(3(3(0(2(2(2(2(1(1(1(x1)))))))))))))))))) -> 0(0(1(1(3(0(3(0(0(2(2(2(0(2(2(1(3(1(x1))))))))))))))))))
   0(1(1(1(1(3(1(1(0(1(3(1(0(2(3(3(3(2(x1)))))))))))))))))) -> 0(2(0(1(3(1(1(3(1(0(1(3(2(1(3(1(1(3(x1))))))))))))))))))
   0(1(2(3(2(1(0(1(2(2(0(0(1(0(3(1(0(1(x1)))))))))))))))))) -> 0(2(1(1(1(0(2(2(0(0(1(1(0(3(0(1(3(2(x1))))))))))))))))))
   0(2(1(0(3(0(3(0(3(2(0(1(0(1(2(2(1(1(x1)))))))))))))))))) -> 0(2(3(0(3(2(2(1(2(1(1(0(0(3(0(0(1(1(x1))))))))))))))))))
   0(2(3(0(1(2(3(2(0(3(1(0(0(0(3(3(0(3(x1)))))))))))))))))) -> 0(2(1(3(0(0(3(3(0(1(0(2(2(3(3(0(0(3(x1))))))))))))))))))
   0(3(0(1(0(3(0(1(1(1(2(0(0(0(3(2(1(0(x1)))))))))))))))))) -> 0(0(2(2(1(3(0(0(1(3(0(1(0(1(0(0(1(3(x1))))))))))))))))))
   0(3(1(1(2(3(0(3(0(1(0(1(2(2(1(0(2(2(x1)))))))))))))))))) -> 0(0(1(3(0(0(2(2(2(3(2(1(1(1(1(0(3(2(x1))))))))))))))))))
   0(3(2(0(3(1(0(1(0(3(0(3(0(0(3(0(0(0(x1)))))))))))))))))) -> 0(3(0(0(0(0(1(2(0(3(3(0(0(3(0(1(3(0(x1))))))))))))))))))
   1(0(0(0(1(2(3(3(2(2(1(0(2(3(3(2(0(3(x1)))))))))))))))))) -> 3(0(2(1(1(3(3(1(0(0(2(0(2(2(3(2(0(3(x1))))))))))))))))))
   1(0(1(0(2(0(2(3(1(1(2(2(0(0(3(0(3(2(x1)))))))))))))))))) -> 0(0(0(1(1(3(1(3(2(0(0(2(2(1(3(0(2(2(x1))))))))))))))))))
   1(0(1(3(2(2(3(2(0(0(1(0(3(2(3(2(3(3(x1)))))))))))))))))) -> 1(3(3(1(2(2(0(3(0(0(1(3(0(2(2(3(2(3(x1))))))))))))))))))
   1(0(2(3(1(2(3(1(2(3(2(3(2(1(2(2(2(2(x1)))))))))))))))))) -> 2(3(2(2(3(0(2(1(3(2(2(1(1(1(3(2(2(2(x1))))))))))))))))))
   1(0(2(3(3(3(1(0(2(0(1(2(2(3(2(1(0(1(x1)))))))))))))))))) -> 2(3(2(1(0(1(3(1(3(0(2(3(0(2(0(1(2(1(x1))))))))))))))))))
   1(0(3(0(3(1(0(3(3(1(2(1(3(2(0(2(1(0(x1)))))))))))))))))) -> 2(2(1(3(0(0(1(3(1(0(2(0(0(3(3(3(1(1(x1))))))))))))))))))
   1(0(3(3(1(0(3(3(3(1(1(3(2(0(0(1(3(1(x1)))))))))))))))))) -> 1(3(3(0(1(3(3(0(1(3(3(0(1(3(2(1(0(1(x1))))))))))))))))))
   1(1(0(0(1(2(1(2(2(0(3(1(2(3(2(0(0(3(x1)))))))))))))))))) -> 1(2(2(0(2(1(0(2(1(0(0(2(3(0(1(1(3(3(x1))))))))))))))))))
   1(1(0(3(1(0(2(3(1(1(0(3(3(0(3(1(1(1(x1)))))))))))))))))) -> 1(1(3(1(3(2(3(0(1(0(3(0(1(3(1(0(1(1(x1))))))))))))))))))
   1(1(0(3(1(0(3(3(3(1(1(2(2(2(2(0(1(2(x1)))))))))))))))))) -> 2(1(1(0(0(1(1(2(3(3(3(0(1(2(3(2(1(2(x1))))))))))))))))))
   1(1(1(1(0(1(3(2(1(1(2(2(0(2(2(3(0(2(x1)))))))))))))))))) -> 1(1(1(2(3(0(2(2(1(1(1(2(3(0(1(2(0(2(x1))))))))))))))))))
   1(1(1(2(1(1(1(2(1(3(1(0(1(2(1(2(3(1(x1)))))))))))))))))) -> 1(1(1(1(1(1(3(0(2(2(1(1(1(2(3(1(2(1(x1))))))))))))))))))
   1(1(1(3(1(3(1(0(3(2(1(3(2(1(0(3(0(3(x1)))))))))))))))))) -> 1(2(2(3(0(1(3(1(1(3(0(0(1(3(1(1(3(3(x1))))))))))))))))))
   1(1(3(2(0(2(3(1(0(1(0(2(3(3(2(2(0(0(x1)))))))))))))))))) -> 2(0(2(3(2(0(2(0(1(2(1(3(0(1(3(0(1(3(x1))))))))))))))))))
   1(1(3(3(2(1(3(3(2(0(1(3(3(3(0(3(2(1(x1)))))))))))))))))) -> 1(3(1(3(0(3(3(3(1(3(3(2(3(1(2(0(2(1(x1))))))))))))))))))
   1(2(0(0(2(1(3(2(2(3(2(2(0(3(2(3(2(2(x1)))))))))))))))))) -> 1(2(0(3(2(2(2(2(3(0(0(2(2(2(3(1(3(2(x1))))))))))))))))))
   1(2(0(1(2(1(0(2(0(0(3(1(0(2(0(3(2(2(x1)))))))))))))))))) -> 1(1(0(0(0(2(1(0(2(0(3(2(2(1(0(2(3(2(x1))))))))))))))))))
   1(2(0(2(0(0(0(3(0(1(0(1(1(0(3(1(0(3(x1)))))))))))))))))) -> 1(3(0(3(1(1(0(1(1(0(0(0(2(2(3(0(0(0(x1))))))))))))))))))
   1(2(1(0(3(1(3(3(2(2(2(2(0(0(3(1(0(1(x1)))))))))))))))))) -> 3(1(2(0(1(3(2(3(2(2(0(0(0(2(3(1(1(1(x1))))))))))))))))))
   1(2(1(2(1(2(0(1(0(1(3(1(0(0(0(1(3(3(x1)))))))))))))))))) -> 1(1(2(2(1(0(1(3(0(1(1(3(0(2(1(3(0(0(x1))))))))))))))))))
   1(2(1(3(2(3(3(1(1(1(0(1(0(0(3(2(0(3(x1)))))))))))))))))) -> 1(3(3(2(3(0(2(1(3(1(1(3(1(2(1(0(0(0(x1))))))))))))))))))
   1(2(3(0(3(2(0(2(0(2(0(3(2(0(2(2(0(0(x1)))))))))))))))))) -> 1(2(2(2(0(3(3(0(0(2(0(0(0(2(2(2(3(0(x1))))))))))))))))))
   1(2(3(1(1(0(0(3(3(0(2(1(3(3(0(3(2(3(x1)))))))))))))))))) -> 3(1(3(0(2(3(3(1(3(0(2(1(2(0(0(1(3(3(x1))))))))))))))))))
   1(2(3(3(1(2(2(2(1(0(1(2(0(1(3(2(0(1(x1)))))))))))))))))) -> 3(3(0(0(2(0(2(2(1(1(1(3(1(2(2(1(2(1(x1))))))))))))))))))
   1(2(3(3(2(1(0(3(2(2(1(0(3(1(0(0(0(0(x1)))))))))))))))))) -> 0(3(0(1(2(1(3(0(1(0(2(1(2(3(3(0(2(0(x1))))))))))))))))))
   1(3(1(1(0(1(2(1(1(1(0(3(1(1(0(2(3(1(x1)))))))))))))))))) -> 1(1(3(2(1(3(1(1(0(0(1(3(2(1(0(1(1(1(x1))))))))))))))))))
   1(3(1(3(2(0(1(3(1(1(3(2(3(3(3(3(0(1(x1)))))))))))))))))) -> 1(3(3(3(1(2(3(1(3(0(2(1(1(3(0(3(3(1(x1))))))))))))))))))
   1(3(2(2(1(0(1(2(1(0(3(1(0(3(2(3(0(3(x1)))))))))))))))))) -> 3(1(3(2(1(1(0(0(2(0(0(3(1(3(2(2(1(3(x1))))))))))))))))))
   1(3(3(0(0(3(3(1(0(0(2(3(3(1(3(2(3(1(x1)))))))))))))))))) -> 1(3(0(0(1(3(0(1(3(3(2(2(3(3(3(3(0(1(x1))))))))))))))))))
   1(3(3(0(1(1(3(2(2(1(1(0(3(1(2(1(0(0(x1)))))))))))))))))) -> 1(3(1(1(0(0(1(1(2(1(3(0(2(3(1(0(2(3(x1))))))))))))))))))
   1(3(3(2(2(1(0(3(2(1(1(1(2(3(1(0(1(0(x1)))))))))))))))))) -> 2(0(1(2(1(2(1(3(1(1(3(0(3(2(1(3(0(1(x1))))))))))))))))))
   2(0(0(3(1(2(3(2(0(2(3(0(1(2(2(0(0(2(x1)))))))))))))))))) -> 2(0(2(3(1(3(0(0(3(2(0(1(0(2(0(2(2(2(x1))))))))))))))))))
   2(0(1(0(2(2(2(2(0(3(2(3(1(2(3(0(3(2(x1)))))))))))))))))) -> 2(0(2(0(2(2(3(0(3(3(1(3(0(1(2(2(2(2(x1))))))))))))))))))
   2(0(1(3(3(3(3(3(1(1(3(2(0(1(0(0(1(0(x1)))))))))))))))))) -> 1(3(0(2(1(1(3(0(2(3(0(0(3(1(3(3(1(0(x1))))))))))))))))))
   2(0(3(0(3(2(3(2(1(0(1(2(2(0(0(0(1(2(x1)))))))))))))))))) -> 0(2(2(1(2(0(1(2(0(3(0(0(2(1(3(0(3(2(x1))))))))))))))))))
   2(1(0(1(1(3(3(0(1(0(1(2(3(3(0(3(2(2(x1)))))))))))))))))) -> 0(3(3(1(3(3(0(2(1(1(3(1(0(2(1(2(0(2(x1))))))))))))))))))
   2(1(1(1(0(2(2(2(1(0(2(0(0(2(2(2(2(1(x1)))))))))))))))))) -> 2(2(2(2(1(1(2(0(1(0(0(0(2(1(2(2(2(1(x1))))))))))))))))))
   2(1(2(2(2(0(2(1(2(3(0(0(3(1(2(2(1(3(x1)))))))))))))))))) -> 0(2(0(2(1(3(2(2(1(3(2(2(1(3(0(2(1(2(x1))))))))))))))))))
   2(1(2(2(2(1(3(2(0(0(2(3(2(3(3(3(0(3(x1)))))))))))))))))) -> 2(3(3(1(3(2(0(3(2(1(3(0(2(2(2(2(3(0(x1))))))))))))))))))
   2(1(2(2(3(2(3(0(1(3(2(1(1(3(3(2(2(2(x1)))))))))))))))))) -> 2(1(1(1(3(2(3(2(2(3(0(2(3(2(1(3(2(2(x1))))))))))))))))))
   2(1(2(3(3(3(0(2(0(0(2(2(1(0(2(0(2(0(x1)))))))))))))))))) -> 0(3(0(2(2(2(1(3(0(0(1(3(0(0(2(2(2(2(x1))))))))))))))))))
   2(1(3(3(3(1(2(1(2(1(0(0(3(1(3(2(0(0(x1)))))))))))))))))) -> 2(1(3(0(1(3(1(0(2(2(0(0(1(3(1(3(2(3(x1))))))))))))))))))
   2(2(0(0(2(1(1(2(1(2(0(1(2(2(2(2(2(2(x1)))))))))))))))))) -> 2(2(2(2(1(1(0(2(1(1(2(2(0(2(0(2(2(2(x1))))))))))))))))))
   2(2(0(3(1(2(0(3(1(2(1(3(0(1(0(3(0(0(x1)))))))))))))))))) -> 2(3(2(2(1(3(0(3(0(1(3(0(0(0(1(1(2(0(x1))))))))))))))))))
   2(2(1(0(1(2(0(0(3(0(2(1(1(2(1(2(1(2(x1)))))))))))))))))) -> 2(2(1(0(3(2(1(1(1(0(0(2(0(1(2(2(1(2(x1))))))))))))))))))
   2(2(1(1(2(3(1(2(1(3(1(0(2(2(0(3(1(1(x1)))))))))))))))))) -> 2(2(1(2(3(1(1(3(1(2(2(1(0(0(2(1(3(1(x1))))))))))))))))))
   2(2(1(1(3(1(0(0(1(2(3(2(3(1(0(1(1(0(x1)))))))))))))))))) -> 0(1(2(2(3(1(0(2(1(3(2(1(1(3(0(1(1(0(x1))))))))))))))))))
   2(2(1(2(3(2(0(2(0(3(1(0(1(1(0(1(3(3(x1)))))))))))))))))) -> 2(2(0(1(2(0(1(2(3(1(0(2(0(1(3(1(3(3(x1))))))))))))))))))
   2(2(2(2(1(1(0(1(1(2(2(0(0(1(2(2(1(1(x1)))))))))))))))))) -> 0(2(1(2(0(2(0(2(2(1(2(2(2(1(1(1(1(1(x1))))))))))))))))))
   2(2(3(1(2(3(0(3(1(1(1(0(1(1(0(1(3(1(x1)))))))))))))))))) -> 2(3(1(1(2(0(1(3(1(1(0(1(1(3(1(3(0(2(x1))))))))))))))))))
   2(2(3(3(1(3(1(1(0(1(2(2(0(3(2(0(3(3(x1)))))))))))))))))) -> 2(2(3(1(3(2(1(3(3(1(0(0(2(3(3(1(0(2(x1))))))))))))))))))
   2(3(0(2(0(3(2(0(2(3(2(1(2(2(2(3(0(3(x1)))))))))))))))))) -> 2(3(2(3(3(0(0(2(2(2(1(3(2(0(2(3(2(0(x1))))))))))))))))))
   2(3(1(0(1(0(1(2(1(0(3(1(0(3(1(2(2(3(x1)))))))))))))))))) -> 2(1(2(1(1(0(1(0(2(3(0(0(3(3(3(1(1(2(x1))))))))))))))))))
   2(3(1(0(2(3(1(0(0(1(0(1(0(1(2(2(1(0(x1)))))))))))))))))) -> 2(0(3(1(0(1(0(1(2(0(2(2(1(3(0(0(1(1(x1))))))))))))))))))
   2(3(1(1(0(3(1(2(1(0(1(3(2(0(1(2(1(1(x1)))))))))))))))))) -> 2(3(2(0(1(1(1(3(2(1(1(3(0(0(1(1(2(1(x1))))))))))))))))))
   2(3(2(1(0(0(0(2(3(2(3(0(3(0(2(1(1(2(x1)))))))))))))))))) -> 2(2(3(0(3(0(2(1(0(2(2(0(1(3(1(3(0(2(x1))))))))))))))))))
   2(3(2(2(2(3(0(3(1(0(3(2(1(1(2(0(2(3(x1)))))))))))))))))) -> 2(2(1(1(0(1(2(3(3(0(3(3(2(2(2(0(2(3(x1))))))))))))))))))
   2(3(3(2(3(1(0(1(1(1(3(1(0(1(0(3(2(0(x1)))))))))))))))))) -> 2(1(0(0(1(2(3(1(1(3(3(3(1(1(3(2(0(0(x1))))))))))))))))))
   3(0(1(0(1(2(3(3(1(2(3(2(1(1(1(3(3(0(x1)))))))))))))))))) -> 3(0(1(2(1(3(3(1(3(0(1(3(1(2(0(1(3(2(x1))))))))))))))))))
   3(0(3(1(0(1(0(3(3(1(0(3(2(3(3(2(0(3(x1)))))))))))))))))) -> 1(3(0(2(0(0(3(3(2(1(3(0(3(3(1(3(3(0(x1))))))))))))))))))
   3(1(0(0(3(0(3(2(3(2(3(0(1(0(1(1(2(3(x1)))))))))))))))))) -> 3(0(1(3(2(3(3(1(1(0(2(0(0(3(1(3(0(2(x1))))))))))))))))))
   3(1(1(0(3(0(1(1(3(2(1(2(3(3(1(3(3(1(x1)))))))))))))))))) -> 3(1(3(2(1(1(1(3(3(0(3(2(1(3(0(1(3(1(x1))))))))))))))))))
   3(1(2(0(3(2(2(3(2(0(3(3(2(3(3(1(1(3(x1)))))))))))))))))) -> 3(2(2(3(1(3(3(2(1(3(3(0(2(0(2(3(1(3(x1))))))))))))))))))
   3(1(2(3(2(0(2(3(1(1(1(3(3(2(0(0(0(3(x1)))))))))))))))))) -> 3(1(3(2(1(3(0(2(1(0(0(2(3(1(2(3(3(0(x1))))))))))))))))))
   3(2(0(1(2(1(0(3(3(3(3(1(2(1(1(0(1(0(x1)))))))))))))))))) -> 3(0(0(2(1(3(2(3(3(1(1(3(1(1(0(2(0(1(x1))))))))))))))))))
   3(2(3(2(2(0(3(3(2(0(1(0(0(2(0(1(1(1(x1)))))))))))))))))) -> 3(0(1(3(2(0(3(0(1(2(3(0(2(0(2(2(1(1(x1))))))))))))))))))
   3(3(0(1(0(3(2(0(1(1(1(1(3(1(2(3(3(3(x1)))))))))))))))))) -> 3(2(3(1(1(1(0(3(3(0(2(1(3(0(1(3(1(3(x1))))))))))))))))))
   3(3(1(0(3(2(3(0(3(1(0(2(0(3(0(2(2(0(x1)))))))))))))))))) -> 3(3(3(2(0(3(0(3(0(1(0(0(1(3(0(2(2(2(x1))))))))))))))))))
   3(3(1(2(2(2(3(3(3(1(3(0(1(1(1(2(1(0(x1)))))))))))))))))) -> 3(3(3(1(2(3(1(3(0(2(2(1(3(0(2(1(1(1(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_2(x_1) -> 2(encArg(x_1))
   encode_1(x_1) -> 1(encArg(x_1))
   encode_3(x_1) -> 3(encArg(x_1))

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

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

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


The TRS R consists of the following rules:

   0(0(2(2(1(3(2(2(2(1(0(2(2(0(2(2(0(0(x1)))))))))))))))))) -> 0(2(2(2(2(1(3(0(0(2(1(0(2(2(2(2(0(0(x1))))))))))))))))))
   0(0(3(1(0(2(2(0(2(3(1(1(0(1(2(2(0(1(x1)))))))))))))))))) -> 0(2(1(1(3(0(0(0(1(0(2(3(1(2(2(0(2(1(x1))))))))))))))))))
   0(1(0(2(1(1(0(0(1(0(3(1(1(0(2(1(2(3(x1)))))))))))))))))) -> 0(1(2(0(0(2(1(1(0(1(1(1(0(1(3(0(2(3(x1))))))))))))))))))
   0(1(0(3(2(0(0(0(3(3(0(2(2(2(2(1(1(1(x1)))))))))))))))))) -> 0(0(1(1(3(0(3(0(0(2(2(2(0(2(2(1(3(1(x1))))))))))))))))))
   0(1(1(1(1(3(1(1(0(1(3(1(0(2(3(3(3(2(x1)))))))))))))))))) -> 0(2(0(1(3(1(1(3(1(0(1(3(2(1(3(1(1(3(x1))))))))))))))))))
   0(1(2(3(2(1(0(1(2(2(0(0(1(0(3(1(0(1(x1)))))))))))))))))) -> 0(2(1(1(1(0(2(2(0(0(1(1(0(3(0(1(3(2(x1))))))))))))))))))
   0(2(1(0(3(0(3(0(3(2(0(1(0(1(2(2(1(1(x1)))))))))))))))))) -> 0(2(3(0(3(2(2(1(2(1(1(0(0(3(0(0(1(1(x1))))))))))))))))))
   0(2(3(0(1(2(3(2(0(3(1(0(0(0(3(3(0(3(x1)))))))))))))))))) -> 0(2(1(3(0(0(3(3(0(1(0(2(2(3(3(0(0(3(x1))))))))))))))))))
   0(3(0(1(0(3(0(1(1(1(2(0(0(0(3(2(1(0(x1)))))))))))))))))) -> 0(0(2(2(1(3(0(0(1(3(0(1(0(1(0(0(1(3(x1))))))))))))))))))
   0(3(1(1(2(3(0(3(0(1(0(1(2(2(1(0(2(2(x1)))))))))))))))))) -> 0(0(1(3(0(0(2(2(2(3(2(1(1(1(1(0(3(2(x1))))))))))))))))))
   0(3(2(0(3(1(0(1(0(3(0(3(0(0(3(0(0(0(x1)))))))))))))))))) -> 0(3(0(0(0(0(1(2(0(3(3(0(0(3(0(1(3(0(x1))))))))))))))))))
   1(0(0(0(1(2(3(3(2(2(1(0(2(3(3(2(0(3(x1)))))))))))))))))) -> 3(0(2(1(1(3(3(1(0(0(2(0(2(2(3(2(0(3(x1))))))))))))))))))
   1(0(1(0(2(0(2(3(1(1(2(2(0(0(3(0(3(2(x1)))))))))))))))))) -> 0(0(0(1(1(3(1(3(2(0(0(2(2(1(3(0(2(2(x1))))))))))))))))))
   1(0(1(3(2(2(3(2(0(0(1(0(3(2(3(2(3(3(x1)))))))))))))))))) -> 1(3(3(1(2(2(0(3(0(0(1(3(0(2(2(3(2(3(x1))))))))))))))))))
   1(0(2(3(1(2(3(1(2(3(2(3(2(1(2(2(2(2(x1)))))))))))))))))) -> 2(3(2(2(3(0(2(1(3(2(2(1(1(1(3(2(2(2(x1))))))))))))))))))
   1(0(2(3(3(3(1(0(2(0(1(2(2(3(2(1(0(1(x1)))))))))))))))))) -> 2(3(2(1(0(1(3(1(3(0(2(3(0(2(0(1(2(1(x1))))))))))))))))))
   1(0(3(0(3(1(0(3(3(1(2(1(3(2(0(2(1(0(x1)))))))))))))))))) -> 2(2(1(3(0(0(1(3(1(0(2(0(0(3(3(3(1(1(x1))))))))))))))))))
   1(0(3(3(1(0(3(3(3(1(1(3(2(0(0(1(3(1(x1)))))))))))))))))) -> 1(3(3(0(1(3(3(0(1(3(3(0(1(3(2(1(0(1(x1))))))))))))))))))
   1(1(0(0(1(2(1(2(2(0(3(1(2(3(2(0(0(3(x1)))))))))))))))))) -> 1(2(2(0(2(1(0(2(1(0(0(2(3(0(1(1(3(3(x1))))))))))))))))))
   1(1(0(3(1(0(2(3(1(1(0(3(3(0(3(1(1(1(x1)))))))))))))))))) -> 1(1(3(1(3(2(3(0(1(0(3(0(1(3(1(0(1(1(x1))))))))))))))))))
   1(1(0(3(1(0(3(3(3(1(1(2(2(2(2(0(1(2(x1)))))))))))))))))) -> 2(1(1(0(0(1(1(2(3(3(3(0(1(2(3(2(1(2(x1))))))))))))))))))
   1(1(1(1(0(1(3(2(1(1(2(2(0(2(2(3(0(2(x1)))))))))))))))))) -> 1(1(1(2(3(0(2(2(1(1(1(2(3(0(1(2(0(2(x1))))))))))))))))))
   1(1(1(2(1(1(1(2(1(3(1(0(1(2(1(2(3(1(x1)))))))))))))))))) -> 1(1(1(1(1(1(3(0(2(2(1(1(1(2(3(1(2(1(x1))))))))))))))))))
   1(1(1(3(1(3(1(0(3(2(1(3(2(1(0(3(0(3(x1)))))))))))))))))) -> 1(2(2(3(0(1(3(1(1(3(0(0(1(3(1(1(3(3(x1))))))))))))))))))
   1(1(3(2(0(2(3(1(0(1(0(2(3(3(2(2(0(0(x1)))))))))))))))))) -> 2(0(2(3(2(0(2(0(1(2(1(3(0(1(3(0(1(3(x1))))))))))))))))))
   1(1(3(3(2(1(3(3(2(0(1(3(3(3(0(3(2(1(x1)))))))))))))))))) -> 1(3(1(3(0(3(3(3(1(3(3(2(3(1(2(0(2(1(x1))))))))))))))))))
   1(2(0(0(2(1(3(2(2(3(2(2(0(3(2(3(2(2(x1)))))))))))))))))) -> 1(2(0(3(2(2(2(2(3(0(0(2(2(2(3(1(3(2(x1))))))))))))))))))
   1(2(0(1(2(1(0(2(0(0(3(1(0(2(0(3(2(2(x1)))))))))))))))))) -> 1(1(0(0(0(2(1(0(2(0(3(2(2(1(0(2(3(2(x1))))))))))))))))))
   1(2(0(2(0(0(0(3(0(1(0(1(1(0(3(1(0(3(x1)))))))))))))))))) -> 1(3(0(3(1(1(0(1(1(0(0(0(2(2(3(0(0(0(x1))))))))))))))))))
   1(2(1(0(3(1(3(3(2(2(2(2(0(0(3(1(0(1(x1)))))))))))))))))) -> 3(1(2(0(1(3(2(3(2(2(0(0(0(2(3(1(1(1(x1))))))))))))))))))
   1(2(1(2(1(2(0(1(0(1(3(1(0(0(0(1(3(3(x1)))))))))))))))))) -> 1(1(2(2(1(0(1(3(0(1(1(3(0(2(1(3(0(0(x1))))))))))))))))))
   1(2(1(3(2(3(3(1(1(1(0(1(0(0(3(2(0(3(x1)))))))))))))))))) -> 1(3(3(2(3(0(2(1(3(1(1(3(1(2(1(0(0(0(x1))))))))))))))))))
   1(2(3(0(3(2(0(2(0(2(0(3(2(0(2(2(0(0(x1)))))))))))))))))) -> 1(2(2(2(0(3(3(0(0(2(0(0(0(2(2(2(3(0(x1))))))))))))))))))
   1(2(3(1(1(0(0(3(3(0(2(1(3(3(0(3(2(3(x1)))))))))))))))))) -> 3(1(3(0(2(3(3(1(3(0(2(1(2(0(0(1(3(3(x1))))))))))))))))))
   1(2(3(3(1(2(2(2(1(0(1(2(0(1(3(2(0(1(x1)))))))))))))))))) -> 3(3(0(0(2(0(2(2(1(1(1(3(1(2(2(1(2(1(x1))))))))))))))))))
   1(2(3(3(2(1(0(3(2(2(1(0(3(1(0(0(0(0(x1)))))))))))))))))) -> 0(3(0(1(2(1(3(0(1(0(2(1(2(3(3(0(2(0(x1))))))))))))))))))
   1(3(1(1(0(1(2(1(1(1(0(3(1(1(0(2(3(1(x1)))))))))))))))))) -> 1(1(3(2(1(3(1(1(0(0(1(3(2(1(0(1(1(1(x1))))))))))))))))))
   1(3(1(3(2(0(1(3(1(1(3(2(3(3(3(3(0(1(x1)))))))))))))))))) -> 1(3(3(3(1(2(3(1(3(0(2(1(1(3(0(3(3(1(x1))))))))))))))))))
   1(3(2(2(1(0(1(2(1(0(3(1(0(3(2(3(0(3(x1)))))))))))))))))) -> 3(1(3(2(1(1(0(0(2(0(0(3(1(3(2(2(1(3(x1))))))))))))))))))
   1(3(3(0(0(3(3(1(0(0(2(3(3(1(3(2(3(1(x1)))))))))))))))))) -> 1(3(0(0(1(3(0(1(3(3(2(2(3(3(3(3(0(1(x1))))))))))))))))))
   1(3(3(0(1(1(3(2(2(1(1(0(3(1(2(1(0(0(x1)))))))))))))))))) -> 1(3(1(1(0(0(1(1(2(1(3(0(2(3(1(0(2(3(x1))))))))))))))))))
   1(3(3(2(2(1(0(3(2(1(1(1(2(3(1(0(1(0(x1)))))))))))))))))) -> 2(0(1(2(1(2(1(3(1(1(3(0(3(2(1(3(0(1(x1))))))))))))))))))
   2(0(0(3(1(2(3(2(0(2(3(0(1(2(2(0(0(2(x1)))))))))))))))))) -> 2(0(2(3(1(3(0(0(3(2(0(1(0(2(0(2(2(2(x1))))))))))))))))))
   2(0(1(0(2(2(2(2(0(3(2(3(1(2(3(0(3(2(x1)))))))))))))))))) -> 2(0(2(0(2(2(3(0(3(3(1(3(0(1(2(2(2(2(x1))))))))))))))))))
   2(0(1(3(3(3(3(3(1(1(3(2(0(1(0(0(1(0(x1)))))))))))))))))) -> 1(3(0(2(1(1(3(0(2(3(0(0(3(1(3(3(1(0(x1))))))))))))))))))
   2(0(3(0(3(2(3(2(1(0(1(2(2(0(0(0(1(2(x1)))))))))))))))))) -> 0(2(2(1(2(0(1(2(0(3(0(0(2(1(3(0(3(2(x1))))))))))))))))))
   2(1(0(1(1(3(3(0(1(0(1(2(3(3(0(3(2(2(x1)))))))))))))))))) -> 0(3(3(1(3(3(0(2(1(1(3(1(0(2(1(2(0(2(x1))))))))))))))))))
   2(1(1(1(0(2(2(2(1(0(2(0(0(2(2(2(2(1(x1)))))))))))))))))) -> 2(2(2(2(1(1(2(0(1(0(0(0(2(1(2(2(2(1(x1))))))))))))))))))
   2(1(2(2(2(0(2(1(2(3(0(0(3(1(2(2(1(3(x1)))))))))))))))))) -> 0(2(0(2(1(3(2(2(1(3(2(2(1(3(0(2(1(2(x1))))))))))))))))))
   2(1(2(2(2(1(3(2(0(0(2(3(2(3(3(3(0(3(x1)))))))))))))))))) -> 2(3(3(1(3(2(0(3(2(1(3(0(2(2(2(2(3(0(x1))))))))))))))))))
   2(1(2(2(3(2(3(0(1(3(2(1(1(3(3(2(2(2(x1)))))))))))))))))) -> 2(1(1(1(3(2(3(2(2(3(0(2(3(2(1(3(2(2(x1))))))))))))))))))
   2(1(2(3(3(3(0(2(0(0(2(2(1(0(2(0(2(0(x1)))))))))))))))))) -> 0(3(0(2(2(2(1(3(0(0(1(3(0(0(2(2(2(2(x1))))))))))))))))))
   2(1(3(3(3(1(2(1(2(1(0(0(3(1(3(2(0(0(x1)))))))))))))))))) -> 2(1(3(0(1(3(1(0(2(2(0(0(1(3(1(3(2(3(x1))))))))))))))))))
   2(2(0(0(2(1(1(2(1(2(0(1(2(2(2(2(2(2(x1)))))))))))))))))) -> 2(2(2(2(1(1(0(2(1(1(2(2(0(2(0(2(2(2(x1))))))))))))))))))
   2(2(0(3(1(2(0(3(1(2(1(3(0(1(0(3(0(0(x1)))))))))))))))))) -> 2(3(2(2(1(3(0(3(0(1(3(0(0(0(1(1(2(0(x1))))))))))))))))))
   2(2(1(0(1(2(0(0(3(0(2(1(1(2(1(2(1(2(x1)))))))))))))))))) -> 2(2(1(0(3(2(1(1(1(0(0(2(0(1(2(2(1(2(x1))))))))))))))))))
   2(2(1(1(2(3(1(2(1(3(1(0(2(2(0(3(1(1(x1)))))))))))))))))) -> 2(2(1(2(3(1(1(3(1(2(2(1(0(0(2(1(3(1(x1))))))))))))))))))
   2(2(1(1(3(1(0(0(1(2(3(2(3(1(0(1(1(0(x1)))))))))))))))))) -> 0(1(2(2(3(1(0(2(1(3(2(1(1(3(0(1(1(0(x1))))))))))))))))))
   2(2(1(2(3(2(0(2(0(3(1(0(1(1(0(1(3(3(x1)))))))))))))))))) -> 2(2(0(1(2(0(1(2(3(1(0(2(0(1(3(1(3(3(x1))))))))))))))))))
   2(2(2(2(1(1(0(1(1(2(2(0(0(1(2(2(1(1(x1)))))))))))))))))) -> 0(2(1(2(0(2(0(2(2(1(2(2(2(1(1(1(1(1(x1))))))))))))))))))
   2(2(3(1(2(3(0(3(1(1(1(0(1(1(0(1(3(1(x1)))))))))))))))))) -> 2(3(1(1(2(0(1(3(1(1(0(1(1(3(1(3(0(2(x1))))))))))))))))))
   2(2(3(3(1(3(1(1(0(1(2(2(0(3(2(0(3(3(x1)))))))))))))))))) -> 2(2(3(1(3(2(1(3(3(1(0(0(2(3(3(1(0(2(x1))))))))))))))))))
   2(3(0(2(0(3(2(0(2(3(2(1(2(2(2(3(0(3(x1)))))))))))))))))) -> 2(3(2(3(3(0(0(2(2(2(1(3(2(0(2(3(2(0(x1))))))))))))))))))
   2(3(1(0(1(0(1(2(1(0(3(1(0(3(1(2(2(3(x1)))))))))))))))))) -> 2(1(2(1(1(0(1(0(2(3(0(0(3(3(3(1(1(2(x1))))))))))))))))))
   2(3(1(0(2(3(1(0(0(1(0(1(0(1(2(2(1(0(x1)))))))))))))))))) -> 2(0(3(1(0(1(0(1(2(0(2(2(1(3(0(0(1(1(x1))))))))))))))))))
   2(3(1(1(0(3(1(2(1(0(1(3(2(0(1(2(1(1(x1)))))))))))))))))) -> 2(3(2(0(1(1(1(3(2(1(1(3(0(0(1(1(2(1(x1))))))))))))))))))
   2(3(2(1(0(0(0(2(3(2(3(0(3(0(2(1(1(2(x1)))))))))))))))))) -> 2(2(3(0(3(0(2(1(0(2(2(0(1(3(1(3(0(2(x1))))))))))))))))))
   2(3(2(2(2(3(0(3(1(0(3(2(1(1(2(0(2(3(x1)))))))))))))))))) -> 2(2(1(1(0(1(2(3(3(0(3(3(2(2(2(0(2(3(x1))))))))))))))))))
   2(3(3(2(3(1(0(1(1(1(3(1(0(1(0(3(2(0(x1)))))))))))))))))) -> 2(1(0(0(1(2(3(1(1(3(3(3(1(1(3(2(0(0(x1))))))))))))))))))
   3(0(1(0(1(2(3(3(1(2(3(2(1(1(1(3(3(0(x1)))))))))))))))))) -> 3(0(1(2(1(3(3(1(3(0(1(3(1(2(0(1(3(2(x1))))))))))))))))))
   3(0(3(1(0(1(0(3(3(1(0(3(2(3(3(2(0(3(x1)))))))))))))))))) -> 1(3(0(2(0(0(3(3(2(1(3(0(3(3(1(3(3(0(x1))))))))))))))))))
   3(1(0(0(3(0(3(2(3(2(3(0(1(0(1(1(2(3(x1)))))))))))))))))) -> 3(0(1(3(2(3(3(1(1(0(2(0(0(3(1(3(0(2(x1))))))))))))))))))
   3(1(1(0(3(0(1(1(3(2(1(2(3(3(1(3(3(1(x1)))))))))))))))))) -> 3(1(3(2(1(1(1(3(3(0(3(2(1(3(0(1(3(1(x1))))))))))))))))))
   3(1(2(0(3(2(2(3(2(0(3(3(2(3(3(1(1(3(x1)))))))))))))))))) -> 3(2(2(3(1(3(3(2(1(3(3(0(2(0(2(3(1(3(x1))))))))))))))))))
   3(1(2(3(2(0(2(3(1(1(1(3(3(2(0(0(0(3(x1)))))))))))))))))) -> 3(1(3(2(1(3(0(2(1(0(0(2(3(1(2(3(3(0(x1))))))))))))))))))
   3(2(0(1(2(1(0(3(3(3(3(1(2(1(1(0(1(0(x1)))))))))))))))))) -> 3(0(0(2(1(3(2(3(3(1(1(3(1(1(0(2(0(1(x1))))))))))))))))))
   3(2(3(2(2(0(3(3(2(0(1(0(0(2(0(1(1(1(x1)))))))))))))))))) -> 3(0(1(3(2(0(3(0(1(2(3(0(2(0(2(2(1(1(x1))))))))))))))))))
   3(3(0(1(0(3(2(0(1(1(1(1(3(1(2(3(3(3(x1)))))))))))))))))) -> 3(2(3(1(1(1(0(3(3(0(2(1(3(0(1(3(1(3(x1))))))))))))))))))
   3(3(1(0(3(2(3(0(3(1(0(2(0(3(0(2(2(0(x1)))))))))))))))))) -> 3(3(3(2(0(3(0(3(0(1(0(0(1(3(0(2(2(2(x1))))))))))))))))))
   3(3(1(2(2(2(3(3(3(1(3(0(1(1(1(2(1(0(x1)))))))))))))))))) -> 3(3(3(1(2(3(1(3(0(2(2(1(3(0(2(1(1(1(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_2(x_1) -> 2(encArg(x_1))
   encode_1(x_1) -> 1(encArg(x_1))
   encode_3(x_1) -> 3(encArg(x_1))

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

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

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


The TRS R consists of the following rules:

   0(0(2(2(1(3(2(2(2(1(0(2(2(0(2(2(0(0(x1)))))))))))))))))) -> 0(2(2(2(2(1(3(0(0(2(1(0(2(2(2(2(0(0(x1))))))))))))))))))
   0(0(3(1(0(2(2(0(2(3(1(1(0(1(2(2(0(1(x1)))))))))))))))))) -> 0(2(1(1(3(0(0(0(1(0(2(3(1(2(2(0(2(1(x1))))))))))))))))))
   0(1(0(2(1(1(0(0(1(0(3(1(1(0(2(1(2(3(x1)))))))))))))))))) -> 0(1(2(0(0(2(1(1(0(1(1(1(0(1(3(0(2(3(x1))))))))))))))))))
   0(1(0(3(2(0(0(0(3(3(0(2(2(2(2(1(1(1(x1)))))))))))))))))) -> 0(0(1(1(3(0(3(0(0(2(2(2(0(2(2(1(3(1(x1))))))))))))))))))
   0(1(1(1(1(3(1(1(0(1(3(1(0(2(3(3(3(2(x1)))))))))))))))))) -> 0(2(0(1(3(1(1(3(1(0(1(3(2(1(3(1(1(3(x1))))))))))))))))))
   0(1(2(3(2(1(0(1(2(2(0(0(1(0(3(1(0(1(x1)))))))))))))))))) -> 0(2(1(1(1(0(2(2(0(0(1(1(0(3(0(1(3(2(x1))))))))))))))))))
   0(2(1(0(3(0(3(0(3(2(0(1(0(1(2(2(1(1(x1)))))))))))))))))) -> 0(2(3(0(3(2(2(1(2(1(1(0(0(3(0(0(1(1(x1))))))))))))))))))
   0(2(3(0(1(2(3(2(0(3(1(0(0(0(3(3(0(3(x1)))))))))))))))))) -> 0(2(1(3(0(0(3(3(0(1(0(2(2(3(3(0(0(3(x1))))))))))))))))))
   0(3(0(1(0(3(0(1(1(1(2(0(0(0(3(2(1(0(x1)))))))))))))))))) -> 0(0(2(2(1(3(0(0(1(3(0(1(0(1(0(0(1(3(x1))))))))))))))))))
   0(3(1(1(2(3(0(3(0(1(0(1(2(2(1(0(2(2(x1)))))))))))))))))) -> 0(0(1(3(0(0(2(2(2(3(2(1(1(1(1(0(3(2(x1))))))))))))))))))
   0(3(2(0(3(1(0(1(0(3(0(3(0(0(3(0(0(0(x1)))))))))))))))))) -> 0(3(0(0(0(0(1(2(0(3(3(0(0(3(0(1(3(0(x1))))))))))))))))))
   1(0(0(0(1(2(3(3(2(2(1(0(2(3(3(2(0(3(x1)))))))))))))))))) -> 3(0(2(1(1(3(3(1(0(0(2(0(2(2(3(2(0(3(x1))))))))))))))))))
   1(0(1(0(2(0(2(3(1(1(2(2(0(0(3(0(3(2(x1)))))))))))))))))) -> 0(0(0(1(1(3(1(3(2(0(0(2(2(1(3(0(2(2(x1))))))))))))))))))
   1(0(1(3(2(2(3(2(0(0(1(0(3(2(3(2(3(3(x1)))))))))))))))))) -> 1(3(3(1(2(2(0(3(0(0(1(3(0(2(2(3(2(3(x1))))))))))))))))))
   1(0(2(3(1(2(3(1(2(3(2(3(2(1(2(2(2(2(x1)))))))))))))))))) -> 2(3(2(2(3(0(2(1(3(2(2(1(1(1(3(2(2(2(x1))))))))))))))))))
   1(0(2(3(3(3(1(0(2(0(1(2(2(3(2(1(0(1(x1)))))))))))))))))) -> 2(3(2(1(0(1(3(1(3(0(2(3(0(2(0(1(2(1(x1))))))))))))))))))
   1(0(3(0(3(1(0(3(3(1(2(1(3(2(0(2(1(0(x1)))))))))))))))))) -> 2(2(1(3(0(0(1(3(1(0(2(0(0(3(3(3(1(1(x1))))))))))))))))))
   1(0(3(3(1(0(3(3(3(1(1(3(2(0(0(1(3(1(x1)))))))))))))))))) -> 1(3(3(0(1(3(3(0(1(3(3(0(1(3(2(1(0(1(x1))))))))))))))))))
   1(1(0(0(1(2(1(2(2(0(3(1(2(3(2(0(0(3(x1)))))))))))))))))) -> 1(2(2(0(2(1(0(2(1(0(0(2(3(0(1(1(3(3(x1))))))))))))))))))
   1(1(0(3(1(0(2(3(1(1(0(3(3(0(3(1(1(1(x1)))))))))))))))))) -> 1(1(3(1(3(2(3(0(1(0(3(0(1(3(1(0(1(1(x1))))))))))))))))))
   1(1(0(3(1(0(3(3(3(1(1(2(2(2(2(0(1(2(x1)))))))))))))))))) -> 2(1(1(0(0(1(1(2(3(3(3(0(1(2(3(2(1(2(x1))))))))))))))))))
   1(1(1(1(0(1(3(2(1(1(2(2(0(2(2(3(0(2(x1)))))))))))))))))) -> 1(1(1(2(3(0(2(2(1(1(1(2(3(0(1(2(0(2(x1))))))))))))))))))
   1(1(1(2(1(1(1(2(1(3(1(0(1(2(1(2(3(1(x1)))))))))))))))))) -> 1(1(1(1(1(1(3(0(2(2(1(1(1(2(3(1(2(1(x1))))))))))))))))))
   1(1(1(3(1(3(1(0(3(2(1(3(2(1(0(3(0(3(x1)))))))))))))))))) -> 1(2(2(3(0(1(3(1(1(3(0(0(1(3(1(1(3(3(x1))))))))))))))))))
   1(1(3(2(0(2(3(1(0(1(0(2(3(3(2(2(0(0(x1)))))))))))))))))) -> 2(0(2(3(2(0(2(0(1(2(1(3(0(1(3(0(1(3(x1))))))))))))))))))
   1(1(3(3(2(1(3(3(2(0(1(3(3(3(0(3(2(1(x1)))))))))))))))))) -> 1(3(1(3(0(3(3(3(1(3(3(2(3(1(2(0(2(1(x1))))))))))))))))))
   1(2(0(0(2(1(3(2(2(3(2(2(0(3(2(3(2(2(x1)))))))))))))))))) -> 1(2(0(3(2(2(2(2(3(0(0(2(2(2(3(1(3(2(x1))))))))))))))))))
   1(2(0(1(2(1(0(2(0(0(3(1(0(2(0(3(2(2(x1)))))))))))))))))) -> 1(1(0(0(0(2(1(0(2(0(3(2(2(1(0(2(3(2(x1))))))))))))))))))
   1(2(0(2(0(0(0(3(0(1(0(1(1(0(3(1(0(3(x1)))))))))))))))))) -> 1(3(0(3(1(1(0(1(1(0(0(0(2(2(3(0(0(0(x1))))))))))))))))))
   1(2(1(0(3(1(3(3(2(2(2(2(0(0(3(1(0(1(x1)))))))))))))))))) -> 3(1(2(0(1(3(2(3(2(2(0(0(0(2(3(1(1(1(x1))))))))))))))))))
   1(2(1(2(1(2(0(1(0(1(3(1(0(0(0(1(3(3(x1)))))))))))))))))) -> 1(1(2(2(1(0(1(3(0(1(1(3(0(2(1(3(0(0(x1))))))))))))))))))
   1(2(1(3(2(3(3(1(1(1(0(1(0(0(3(2(0(3(x1)))))))))))))))))) -> 1(3(3(2(3(0(2(1(3(1(1(3(1(2(1(0(0(0(x1))))))))))))))))))
   1(2(3(0(3(2(0(2(0(2(0(3(2(0(2(2(0(0(x1)))))))))))))))))) -> 1(2(2(2(0(3(3(0(0(2(0(0(0(2(2(2(3(0(x1))))))))))))))))))
   1(2(3(1(1(0(0(3(3(0(2(1(3(3(0(3(2(3(x1)))))))))))))))))) -> 3(1(3(0(2(3(3(1(3(0(2(1(2(0(0(1(3(3(x1))))))))))))))))))
   1(2(3(3(1(2(2(2(1(0(1(2(0(1(3(2(0(1(x1)))))))))))))))))) -> 3(3(0(0(2(0(2(2(1(1(1(3(1(2(2(1(2(1(x1))))))))))))))))))
   1(2(3(3(2(1(0(3(2(2(1(0(3(1(0(0(0(0(x1)))))))))))))))))) -> 0(3(0(1(2(1(3(0(1(0(2(1(2(3(3(0(2(0(x1))))))))))))))))))
   1(3(1(1(0(1(2(1(1(1(0(3(1(1(0(2(3(1(x1)))))))))))))))))) -> 1(1(3(2(1(3(1(1(0(0(1(3(2(1(0(1(1(1(x1))))))))))))))))))
   1(3(1(3(2(0(1(3(1(1(3(2(3(3(3(3(0(1(x1)))))))))))))))))) -> 1(3(3(3(1(2(3(1(3(0(2(1(1(3(0(3(3(1(x1))))))))))))))))))
   1(3(2(2(1(0(1(2(1(0(3(1(0(3(2(3(0(3(x1)))))))))))))))))) -> 3(1(3(2(1(1(0(0(2(0(0(3(1(3(2(2(1(3(x1))))))))))))))))))
   1(3(3(0(0(3(3(1(0(0(2(3(3(1(3(2(3(1(x1)))))))))))))))))) -> 1(3(0(0(1(3(0(1(3(3(2(2(3(3(3(3(0(1(x1))))))))))))))))))
   1(3(3(0(1(1(3(2(2(1(1(0(3(1(2(1(0(0(x1)))))))))))))))))) -> 1(3(1(1(0(0(1(1(2(1(3(0(2(3(1(0(2(3(x1))))))))))))))))))
   1(3(3(2(2(1(0(3(2(1(1(1(2(3(1(0(1(0(x1)))))))))))))))))) -> 2(0(1(2(1(2(1(3(1(1(3(0(3(2(1(3(0(1(x1))))))))))))))))))
   2(0(0(3(1(2(3(2(0(2(3(0(1(2(2(0(0(2(x1)))))))))))))))))) -> 2(0(2(3(1(3(0(0(3(2(0(1(0(2(0(2(2(2(x1))))))))))))))))))
   2(0(1(0(2(2(2(2(0(3(2(3(1(2(3(0(3(2(x1)))))))))))))))))) -> 2(0(2(0(2(2(3(0(3(3(1(3(0(1(2(2(2(2(x1))))))))))))))))))
   2(0(1(3(3(3(3(3(1(1(3(2(0(1(0(0(1(0(x1)))))))))))))))))) -> 1(3(0(2(1(1(3(0(2(3(0(0(3(1(3(3(1(0(x1))))))))))))))))))
   2(0(3(0(3(2(3(2(1(0(1(2(2(0(0(0(1(2(x1)))))))))))))))))) -> 0(2(2(1(2(0(1(2(0(3(0(0(2(1(3(0(3(2(x1))))))))))))))))))
   2(1(0(1(1(3(3(0(1(0(1(2(3(3(0(3(2(2(x1)))))))))))))))))) -> 0(3(3(1(3(3(0(2(1(1(3(1(0(2(1(2(0(2(x1))))))))))))))))))
   2(1(1(1(0(2(2(2(1(0(2(0(0(2(2(2(2(1(x1)))))))))))))))))) -> 2(2(2(2(1(1(2(0(1(0(0(0(2(1(2(2(2(1(x1))))))))))))))))))
   2(1(2(2(2(0(2(1(2(3(0(0(3(1(2(2(1(3(x1)))))))))))))))))) -> 0(2(0(2(1(3(2(2(1(3(2(2(1(3(0(2(1(2(x1))))))))))))))))))
   2(1(2(2(2(1(3(2(0(0(2(3(2(3(3(3(0(3(x1)))))))))))))))))) -> 2(3(3(1(3(2(0(3(2(1(3(0(2(2(2(2(3(0(x1))))))))))))))))))
   2(1(2(2(3(2(3(0(1(3(2(1(1(3(3(2(2(2(x1)))))))))))))))))) -> 2(1(1(1(3(2(3(2(2(3(0(2(3(2(1(3(2(2(x1))))))))))))))))))
   2(1(2(3(3(3(0(2(0(0(2(2(1(0(2(0(2(0(x1)))))))))))))))))) -> 0(3(0(2(2(2(1(3(0(0(1(3(0(0(2(2(2(2(x1))))))))))))))))))
   2(1(3(3(3(1(2(1(2(1(0(0(3(1(3(2(0(0(x1)))))))))))))))))) -> 2(1(3(0(1(3(1(0(2(2(0(0(1(3(1(3(2(3(x1))))))))))))))))))
   2(2(0(0(2(1(1(2(1(2(0(1(2(2(2(2(2(2(x1)))))))))))))))))) -> 2(2(2(2(1(1(0(2(1(1(2(2(0(2(0(2(2(2(x1))))))))))))))))))
   2(2(0(3(1(2(0(3(1(2(1(3(0(1(0(3(0(0(x1)))))))))))))))))) -> 2(3(2(2(1(3(0(3(0(1(3(0(0(0(1(1(2(0(x1))))))))))))))))))
   2(2(1(0(1(2(0(0(3(0(2(1(1(2(1(2(1(2(x1)))))))))))))))))) -> 2(2(1(0(3(2(1(1(1(0(0(2(0(1(2(2(1(2(x1))))))))))))))))))
   2(2(1(1(2(3(1(2(1(3(1(0(2(2(0(3(1(1(x1)))))))))))))))))) -> 2(2(1(2(3(1(1(3(1(2(2(1(0(0(2(1(3(1(x1))))))))))))))))))
   2(2(1(1(3(1(0(0(1(2(3(2(3(1(0(1(1(0(x1)))))))))))))))))) -> 0(1(2(2(3(1(0(2(1(3(2(1(1(3(0(1(1(0(x1))))))))))))))))))
   2(2(1(2(3(2(0(2(0(3(1(0(1(1(0(1(3(3(x1)))))))))))))))))) -> 2(2(0(1(2(0(1(2(3(1(0(2(0(1(3(1(3(3(x1))))))))))))))))))
   2(2(2(2(1(1(0(1(1(2(2(0(0(1(2(2(1(1(x1)))))))))))))))))) -> 0(2(1(2(0(2(0(2(2(1(2(2(2(1(1(1(1(1(x1))))))))))))))))))
   2(2(3(1(2(3(0(3(1(1(1(0(1(1(0(1(3(1(x1)))))))))))))))))) -> 2(3(1(1(2(0(1(3(1(1(0(1(1(3(1(3(0(2(x1))))))))))))))))))
   2(2(3(3(1(3(1(1(0(1(2(2(0(3(2(0(3(3(x1)))))))))))))))))) -> 2(2(3(1(3(2(1(3(3(1(0(0(2(3(3(1(0(2(x1))))))))))))))))))
   2(3(0(2(0(3(2(0(2(3(2(1(2(2(2(3(0(3(x1)))))))))))))))))) -> 2(3(2(3(3(0(0(2(2(2(1(3(2(0(2(3(2(0(x1))))))))))))))))))
   2(3(1(0(1(0(1(2(1(0(3(1(0(3(1(2(2(3(x1)))))))))))))))))) -> 2(1(2(1(1(0(1(0(2(3(0(0(3(3(3(1(1(2(x1))))))))))))))))))
   2(3(1(0(2(3(1(0(0(1(0(1(0(1(2(2(1(0(x1)))))))))))))))))) -> 2(0(3(1(0(1(0(1(2(0(2(2(1(3(0(0(1(1(x1))))))))))))))))))
   2(3(1(1(0(3(1(2(1(0(1(3(2(0(1(2(1(1(x1)))))))))))))))))) -> 2(3(2(0(1(1(1(3(2(1(1(3(0(0(1(1(2(1(x1))))))))))))))))))
   2(3(2(1(0(0(0(2(3(2(3(0(3(0(2(1(1(2(x1)))))))))))))))))) -> 2(2(3(0(3(0(2(1(0(2(2(0(1(3(1(3(0(2(x1))))))))))))))))))
   2(3(2(2(2(3(0(3(1(0(3(2(1(1(2(0(2(3(x1)))))))))))))))))) -> 2(2(1(1(0(1(2(3(3(0(3(3(2(2(2(0(2(3(x1))))))))))))))))))
   2(3(3(2(3(1(0(1(1(1(3(1(0(1(0(3(2(0(x1)))))))))))))))))) -> 2(1(0(0(1(2(3(1(1(3(3(3(1(1(3(2(0(0(x1))))))))))))))))))
   3(0(1(0(1(2(3(3(1(2(3(2(1(1(1(3(3(0(x1)))))))))))))))))) -> 3(0(1(2(1(3(3(1(3(0(1(3(1(2(0(1(3(2(x1))))))))))))))))))
   3(0(3(1(0(1(0(3(3(1(0(3(2(3(3(2(0(3(x1)))))))))))))))))) -> 1(3(0(2(0(0(3(3(2(1(3(0(3(3(1(3(3(0(x1))))))))))))))))))
   3(1(0(0(3(0(3(2(3(2(3(0(1(0(1(1(2(3(x1)))))))))))))))))) -> 3(0(1(3(2(3(3(1(1(0(2(0(0(3(1(3(0(2(x1))))))))))))))))))
   3(1(1(0(3(0(1(1(3(2(1(2(3(3(1(3(3(1(x1)))))))))))))))))) -> 3(1(3(2(1(1(1(3(3(0(3(2(1(3(0(1(3(1(x1))))))))))))))))))
   3(1(2(0(3(2(2(3(2(0(3(3(2(3(3(1(1(3(x1)))))))))))))))))) -> 3(2(2(3(1(3(3(2(1(3(3(0(2(0(2(3(1(3(x1))))))))))))))))))
   3(1(2(3(2(0(2(3(1(1(1(3(3(2(0(0(0(3(x1)))))))))))))))))) -> 3(1(3(2(1(3(0(2(1(0(0(2(3(1(2(3(3(0(x1))))))))))))))))))
   3(2(0(1(2(1(0(3(3(3(3(1(2(1(1(0(1(0(x1)))))))))))))))))) -> 3(0(0(2(1(3(2(3(3(1(1(3(1(1(0(2(0(1(x1))))))))))))))))))
   3(2(3(2(2(0(3(3(2(0(1(0(0(2(0(1(1(1(x1)))))))))))))))))) -> 3(0(1(3(2(0(3(0(1(2(3(0(2(0(2(2(1(1(x1))))))))))))))))))
   3(3(0(1(0(3(2(0(1(1(1(1(3(1(2(3(3(3(x1)))))))))))))))))) -> 3(2(3(1(1(1(0(3(3(0(2(1(3(0(1(3(1(3(x1))))))))))))))))))
   3(3(1(0(3(2(3(0(3(1(0(2(0(3(0(2(2(0(x1)))))))))))))))))) -> 3(3(3(2(0(3(0(3(0(1(0(0(1(3(0(2(2(2(x1))))))))))))))))))
   3(3(1(2(2(2(3(3(3(1(3(0(1(1(1(2(1(0(x1)))))))))))))))))) -> 3(3(3(1(2(3(1(3(0(2(2(1(3(0(2(1(1(1(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_2(x_1) -> 2(encArg(x_1))
   encode_1(x_1) -> 1(encArg(x_1))
   encode_3(x_1) -> 3(encArg(x_1))

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

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

(8)
Obligation:
TRS:
Rules:
0(0(2(2(1(3(2(2(2(1(0(2(2(0(2(2(0(0(x1)))))))))))))))))) -> 0(2(2(2(2(1(3(0(0(2(1(0(2(2(2(2(0(0(x1))))))))))))))))))
0(0(3(1(0(2(2(0(2(3(1(1(0(1(2(2(0(1(x1)))))))))))))))))) -> 0(2(1(1(3(0(0(0(1(0(2(3(1(2(2(0(2(1(x1))))))))))))))))))
0(1(0(2(1(1(0(0(1(0(3(1(1(0(2(1(2(3(x1)))))))))))))))))) -> 0(1(2(0(0(2(1(1(0(1(1(1(0(1(3(0(2(3(x1))))))))))))))))))
0(1(0(3(2(0(0(0(3(3(0(2(2(2(2(1(1(1(x1)))))))))))))))))) -> 0(0(1(1(3(0(3(0(0(2(2(2(0(2(2(1(3(1(x1))))))))))))))))))
0(1(1(1(1(3(1(1(0(1(3(1(0(2(3(3(3(2(x1)))))))))))))))))) -> 0(2(0(1(3(1(1(3(1(0(1(3(2(1(3(1(1(3(x1))))))))))))))))))
0(1(2(3(2(1(0(1(2(2(0(0(1(0(3(1(0(1(x1)))))))))))))))))) -> 0(2(1(1(1(0(2(2(0(0(1(1(0(3(0(1(3(2(x1))))))))))))))))))
0(2(1(0(3(0(3(0(3(2(0(1(0(1(2(2(1(1(x1)))))))))))))))))) -> 0(2(3(0(3(2(2(1(2(1(1(0(0(3(0(0(1(1(x1))))))))))))))))))
0(2(3(0(1(2(3(2(0(3(1(0(0(0(3(3(0(3(x1)))))))))))))))))) -> 0(2(1(3(0(0(3(3(0(1(0(2(2(3(3(0(0(3(x1))))))))))))))))))
0(3(0(1(0(3(0(1(1(1(2(0(0(0(3(2(1(0(x1)))))))))))))))))) -> 0(0(2(2(1(3(0(0(1(3(0(1(0(1(0(0(1(3(x1))))))))))))))))))
0(3(1(1(2(3(0(3(0(1(0(1(2(2(1(0(2(2(x1)))))))))))))))))) -> 0(0(1(3(0(0(2(2(2(3(2(1(1(1(1(0(3(2(x1))))))))))))))))))
0(3(2(0(3(1(0(1(0(3(0(3(0(0(3(0(0(0(x1)))))))))))))))))) -> 0(3(0(0(0(0(1(2(0(3(3(0(0(3(0(1(3(0(x1))))))))))))))))))
1(0(0(0(1(2(3(3(2(2(1(0(2(3(3(2(0(3(x1)))))))))))))))))) -> 3(0(2(1(1(3(3(1(0(0(2(0(2(2(3(2(0(3(x1))))))))))))))))))
1(0(1(0(2(0(2(3(1(1(2(2(0(0(3(0(3(2(x1)))))))))))))))))) -> 0(0(0(1(1(3(1(3(2(0(0(2(2(1(3(0(2(2(x1))))))))))))))))))
1(0(1(3(2(2(3(2(0(0(1(0(3(2(3(2(3(3(x1)))))))))))))))))) -> 1(3(3(1(2(2(0(3(0(0(1(3(0(2(2(3(2(3(x1))))))))))))))))))
1(0(2(3(1(2(3(1(2(3(2(3(2(1(2(2(2(2(x1)))))))))))))))))) -> 2(3(2(2(3(0(2(1(3(2(2(1(1(1(3(2(2(2(x1))))))))))))))))))
1(0(2(3(3(3(1(0(2(0(1(2(2(3(2(1(0(1(x1)))))))))))))))))) -> 2(3(2(1(0(1(3(1(3(0(2(3(0(2(0(1(2(1(x1))))))))))))))))))
1(0(3(0(3(1(0(3(3(1(2(1(3(2(0(2(1(0(x1)))))))))))))))))) -> 2(2(1(3(0(0(1(3(1(0(2(0(0(3(3(3(1(1(x1))))))))))))))))))
1(0(3(3(1(0(3(3(3(1(1(3(2(0(0(1(3(1(x1)))))))))))))))))) -> 1(3(3(0(1(3(3(0(1(3(3(0(1(3(2(1(0(1(x1))))))))))))))))))
1(1(0(0(1(2(1(2(2(0(3(1(2(3(2(0(0(3(x1)))))))))))))))))) -> 1(2(2(0(2(1(0(2(1(0(0(2(3(0(1(1(3(3(x1))))))))))))))))))
1(1(0(3(1(0(2(3(1(1(0(3(3(0(3(1(1(1(x1)))))))))))))))))) -> 1(1(3(1(3(2(3(0(1(0(3(0(1(3(1(0(1(1(x1))))))))))))))))))
1(1(0(3(1(0(3(3(3(1(1(2(2(2(2(0(1(2(x1)))))))))))))))))) -> 2(1(1(0(0(1(1(2(3(3(3(0(1(2(3(2(1(2(x1))))))))))))))))))
1(1(1(1(0(1(3(2(1(1(2(2(0(2(2(3(0(2(x1)))))))))))))))))) -> 1(1(1(2(3(0(2(2(1(1(1(2(3(0(1(2(0(2(x1))))))))))))))))))
1(1(1(2(1(1(1(2(1(3(1(0(1(2(1(2(3(1(x1)))))))))))))))))) -> 1(1(1(1(1(1(3(0(2(2(1(1(1(2(3(1(2(1(x1))))))))))))))))))
1(1(1(3(1(3(1(0(3(2(1(3(2(1(0(3(0(3(x1)))))))))))))))))) -> 1(2(2(3(0(1(3(1(1(3(0(0(1(3(1(1(3(3(x1))))))))))))))))))
1(1(3(2(0(2(3(1(0(1(0(2(3(3(2(2(0(0(x1)))))))))))))))))) -> 2(0(2(3(2(0(2(0(1(2(1(3(0(1(3(0(1(3(x1))))))))))))))))))
1(1(3(3(2(1(3(3(2(0(1(3(3(3(0(3(2(1(x1)))))))))))))))))) -> 1(3(1(3(0(3(3(3(1(3(3(2(3(1(2(0(2(1(x1))))))))))))))))))
1(2(0(0(2(1(3(2(2(3(2(2(0(3(2(3(2(2(x1)))))))))))))))))) -> 1(2(0(3(2(2(2(2(3(0(0(2(2(2(3(1(3(2(x1))))))))))))))))))
1(2(0(1(2(1(0(2(0(0(3(1(0(2(0(3(2(2(x1)))))))))))))))))) -> 1(1(0(0(0(2(1(0(2(0(3(2(2(1(0(2(3(2(x1))))))))))))))))))
1(2(0(2(0(0(0(3(0(1(0(1(1(0(3(1(0(3(x1)))))))))))))))))) -> 1(3(0(3(1(1(0(1(1(0(0(0(2(2(3(0(0(0(x1))))))))))))))))))
1(2(1(0(3(1(3(3(2(2(2(2(0(0(3(1(0(1(x1)))))))))))))))))) -> 3(1(2(0(1(3(2(3(2(2(0(0(0(2(3(1(1(1(x1))))))))))))))))))
1(2(1(2(1(2(0(1(0(1(3(1(0(0(0(1(3(3(x1)))))))))))))))))) -> 1(1(2(2(1(0(1(3(0(1(1(3(0(2(1(3(0(0(x1))))))))))))))))))
1(2(1(3(2(3(3(1(1(1(0(1(0(0(3(2(0(3(x1)))))))))))))))))) -> 1(3(3(2(3(0(2(1(3(1(1(3(1(2(1(0(0(0(x1))))))))))))))))))
1(2(3(0(3(2(0(2(0(2(0(3(2(0(2(2(0(0(x1)))))))))))))))))) -> 1(2(2(2(0(3(3(0(0(2(0(0(0(2(2(2(3(0(x1))))))))))))))))))
1(2(3(1(1(0(0(3(3(0(2(1(3(3(0(3(2(3(x1)))))))))))))))))) -> 3(1(3(0(2(3(3(1(3(0(2(1(2(0(0(1(3(3(x1))))))))))))))))))
1(2(3(3(1(2(2(2(1(0(1(2(0(1(3(2(0(1(x1)))))))))))))))))) -> 3(3(0(0(2(0(2(2(1(1(1(3(1(2(2(1(2(1(x1))))))))))))))))))
1(2(3(3(2(1(0(3(2(2(1(0(3(1(0(0(0(0(x1)))))))))))))))))) -> 0(3(0(1(2(1(3(0(1(0(2(1(2(3(3(0(2(0(x1))))))))))))))))))
1(3(1(1(0(1(2(1(1(1(0(3(1(1(0(2(3(1(x1)))))))))))))))))) -> 1(1(3(2(1(3(1(1(0(0(1(3(2(1(0(1(1(1(x1))))))))))))))))))
1(3(1(3(2(0(1(3(1(1(3(2(3(3(3(3(0(1(x1)))))))))))))))))) -> 1(3(3(3(1(2(3(1(3(0(2(1(1(3(0(3(3(1(x1))))))))))))))))))
1(3(2(2(1(0(1(2(1(0(3(1(0(3(2(3(0(3(x1)))))))))))))))))) -> 3(1(3(2(1(1(0(0(2(0(0(3(1(3(2(2(1(3(x1))))))))))))))))))
1(3(3(0(0(3(3(1(0(0(2(3(3(1(3(2(3(1(x1)))))))))))))))))) -> 1(3(0(0(1(3(0(1(3(3(2(2(3(3(3(3(0(1(x1))))))))))))))))))
1(3(3(0(1(1(3(2(2(1(1(0(3(1(2(1(0(0(x1)))))))))))))))))) -> 1(3(1(1(0(0(1(1(2(1(3(0(2(3(1(0(2(3(x1))))))))))))))))))
1(3(3(2(2(1(0(3(2(1(1(1(2(3(1(0(1(0(x1)))))))))))))))))) -> 2(0(1(2(1(2(1(3(1(1(3(0(3(2(1(3(0(1(x1))))))))))))))))))
2(0(0(3(1(2(3(2(0(2(3(0(1(2(2(0(0(2(x1)))))))))))))))))) -> 2(0(2(3(1(3(0(0(3(2(0(1(0(2(0(2(2(2(x1))))))))))))))))))
2(0(1(0(2(2(2(2(0(3(2(3(1(2(3(0(3(2(x1)))))))))))))))))) -> 2(0(2(0(2(2(3(0(3(3(1(3(0(1(2(2(2(2(x1))))))))))))))))))
2(0(1(3(3(3(3(3(1(1(3(2(0(1(0(0(1(0(x1)))))))))))))))))) -> 1(3(0(2(1(1(3(0(2(3(0(0(3(1(3(3(1(0(x1))))))))))))))))))
2(0(3(0(3(2(3(2(1(0(1(2(2(0(0(0(1(2(x1)))))))))))))))))) -> 0(2(2(1(2(0(1(2(0(3(0(0(2(1(3(0(3(2(x1))))))))))))))))))
2(1(0(1(1(3(3(0(1(0(1(2(3(3(0(3(2(2(x1)))))))))))))))))) -> 0(3(3(1(3(3(0(2(1(1(3(1(0(2(1(2(0(2(x1))))))))))))))))))
2(1(1(1(0(2(2(2(1(0(2(0(0(2(2(2(2(1(x1)))))))))))))))))) -> 2(2(2(2(1(1(2(0(1(0(0(0(2(1(2(2(2(1(x1))))))))))))))))))
2(1(2(2(2(0(2(1(2(3(0(0(3(1(2(2(1(3(x1)))))))))))))))))) -> 0(2(0(2(1(3(2(2(1(3(2(2(1(3(0(2(1(2(x1))))))))))))))))))
2(1(2(2(2(1(3(2(0(0(2(3(2(3(3(3(0(3(x1)))))))))))))))))) -> 2(3(3(1(3(2(0(3(2(1(3(0(2(2(2(2(3(0(x1))))))))))))))))))
2(1(2(2(3(2(3(0(1(3(2(1(1(3(3(2(2(2(x1)))))))))))))))))) -> 2(1(1(1(3(2(3(2(2(3(0(2(3(2(1(3(2(2(x1))))))))))))))))))
2(1(2(3(3(3(0(2(0(0(2(2(1(0(2(0(2(0(x1)))))))))))))))))) -> 0(3(0(2(2(2(1(3(0(0(1(3(0(0(2(2(2(2(x1))))))))))))))))))
2(1(3(3(3(1(2(1(2(1(0(0(3(1(3(2(0(0(x1)))))))))))))))))) -> 2(1(3(0(1(3(1(0(2(2(0(0(1(3(1(3(2(3(x1))))))))))))))))))
2(2(0(0(2(1(1(2(1(2(0(1(2(2(2(2(2(2(x1)))))))))))))))))) -> 2(2(2(2(1(1(0(2(1(1(2(2(0(2(0(2(2(2(x1))))))))))))))))))
2(2(0(3(1(2(0(3(1(2(1(3(0(1(0(3(0(0(x1)))))))))))))))))) -> 2(3(2(2(1(3(0(3(0(1(3(0(0(0(1(1(2(0(x1))))))))))))))))))
2(2(1(0(1(2(0(0(3(0(2(1(1(2(1(2(1(2(x1)))))))))))))))))) -> 2(2(1(0(3(2(1(1(1(0(0(2(0(1(2(2(1(2(x1))))))))))))))))))
2(2(1(1(2(3(1(2(1(3(1(0(2(2(0(3(1(1(x1)))))))))))))))))) -> 2(2(1(2(3(1(1(3(1(2(2(1(0(0(2(1(3(1(x1))))))))))))))))))
2(2(1(1(3(1(0(0(1(2(3(2(3(1(0(1(1(0(x1)))))))))))))))))) -> 0(1(2(2(3(1(0(2(1(3(2(1(1(3(0(1(1(0(x1))))))))))))))))))
2(2(1(2(3(2(0(2(0(3(1(0(1(1(0(1(3(3(x1)))))))))))))))))) -> 2(2(0(1(2(0(1(2(3(1(0(2(0(1(3(1(3(3(x1))))))))))))))))))
2(2(2(2(1(1(0(1(1(2(2(0(0(1(2(2(1(1(x1)))))))))))))))))) -> 0(2(1(2(0(2(0(2(2(1(2(2(2(1(1(1(1(1(x1))))))))))))))))))
2(2(3(1(2(3(0(3(1(1(1(0(1(1(0(1(3(1(x1)))))))))))))))))) -> 2(3(1(1(2(0(1(3(1(1(0(1(1(3(1(3(0(2(x1))))))))))))))))))
2(2(3(3(1(3(1(1(0(1(2(2(0(3(2(0(3(3(x1)))))))))))))))))) -> 2(2(3(1(3(2(1(3(3(1(0(0(2(3(3(1(0(2(x1))))))))))))))))))
2(3(0(2(0(3(2(0(2(3(2(1(2(2(2(3(0(3(x1)))))))))))))))))) -> 2(3(2(3(3(0(0(2(2(2(1(3(2(0(2(3(2(0(x1))))))))))))))))))
2(3(1(0(1(0(1(2(1(0(3(1(0(3(1(2(2(3(x1)))))))))))))))))) -> 2(1(2(1(1(0(1(0(2(3(0(0(3(3(3(1(1(2(x1))))))))))))))))))
2(3(1(0(2(3(1(0(0(1(0(1(0(1(2(2(1(0(x1)))))))))))))))))) -> 2(0(3(1(0(1(0(1(2(0(2(2(1(3(0(0(1(1(x1))))))))))))))))))
2(3(1(1(0(3(1(2(1(0(1(3(2(0(1(2(1(1(x1)))))))))))))))))) -> 2(3(2(0(1(1(1(3(2(1(1(3(0(0(1(1(2(1(x1))))))))))))))))))
2(3(2(1(0(0(0(2(3(2(3(0(3(0(2(1(1(2(x1)))))))))))))))))) -> 2(2(3(0(3(0(2(1(0(2(2(0(1(3(1(3(0(2(x1))))))))))))))))))
2(3(2(2(2(3(0(3(1(0(3(2(1(1(2(0(2(3(x1)))))))))))))))))) -> 2(2(1(1(0(1(2(3(3(0(3(3(2(2(2(0(2(3(x1))))))))))))))))))
2(3(3(2(3(1(0(1(1(1(3(1(0(1(0(3(2(0(x1)))))))))))))))))) -> 2(1(0(0(1(2(3(1(1(3(3(3(1(1(3(2(0(0(x1))))))))))))))))))
3(0(1(0(1(2(3(3(1(2(3(2(1(1(1(3(3(0(x1)))))))))))))))))) -> 3(0(1(2(1(3(3(1(3(0(1(3(1(2(0(1(3(2(x1))))))))))))))))))
3(0(3(1(0(1(0(3(3(1(0(3(2(3(3(2(0(3(x1)))))))))))))))))) -> 1(3(0(2(0(0(3(3(2(1(3(0(3(3(1(3(3(0(x1))))))))))))))))))
3(1(0(0(3(0(3(2(3(2(3(0(1(0(1(1(2(3(x1)))))))))))))))))) -> 3(0(1(3(2(3(3(1(1(0(2(0(0(3(1(3(0(2(x1))))))))))))))))))
3(1(1(0(3(0(1(1(3(2(1(2(3(3(1(3(3(1(x1)))))))))))))))))) -> 3(1(3(2(1(1(1(3(3(0(3(2(1(3(0(1(3(1(x1))))))))))))))))))
3(1(2(0(3(2(2(3(2(0(3(3(2(3(3(1(1(3(x1)))))))))))))))))) -> 3(2(2(3(1(3(3(2(1(3(3(0(2(0(2(3(1(3(x1))))))))))))))))))
3(1(2(3(2(0(2(3(1(1(1(3(3(2(0(0(0(3(x1)))))))))))))))))) -> 3(1(3(2(1(3(0(2(1(0(0(2(3(1(2(3(3(0(x1))))))))))))))))))
3(2(0(1(2(1(0(3(3(3(3(1(2(1(1(0(1(0(x1)))))))))))))))))) -> 3(0(0(2(1(3(2(3(3(1(1(3(1(1(0(2(0(1(x1))))))))))))))))))
3(2(3(2(2(0(3(3(2(0(1(0(0(2(0(1(1(1(x1)))))))))))))))))) -> 3(0(1(3(2(0(3(0(1(2(3(0(2(0(2(2(1(1(x1))))))))))))))))))
3(3(0(1(0(3(2(0(1(1(1(1(3(1(2(3(3(3(x1)))))))))))))))))) -> 3(2(3(1(1(1(0(3(3(0(2(1(3(0(1(3(1(3(x1))))))))))))))))))
3(3(1(0(3(2(3(0(3(1(0(2(0(3(0(2(2(0(x1)))))))))))))))))) -> 3(3(3(2(0(3(0(3(0(1(0(0(1(3(0(2(2(2(x1))))))))))))))))))
3(3(1(2(2(2(3(3(3(1(3(0(1(1(1(2(1(0(x1)))))))))))))))))) -> 3(3(3(1(2(3(1(3(0(2(2(1(3(0(2(1(1(1(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_2(x_1) -> 2(encArg(x_1))
encode_1(x_1) -> 1(encArg(x_1))
encode_3(x_1) -> 3(encArg(x_1))

Types:
0 :: 0:2:1:3:encArg:encode_0:encode_2:encode_1:encode_3 -> 0:2:1:3:encArg:encode_0:encode_2:encode_1:encode_3
2 :: 0:2:1:3:encArg:encode_0:encode_2:encode_1:encode_3 -> 0:2:1:3:encArg:encode_0:encode_2:encode_1:encode_3
1 :: 0:2:1:3:encArg:encode_0:encode_2:encode_1:encode_3 -> 0:2:1:3:encArg:encode_0:encode_2:encode_1:encode_3
3 :: 0:2:1:3:encArg:encode_0:encode_2:encode_1:encode_3 -> 0:2:1:3:encArg:encode_0:encode_2:encode_1:encode_3
encArg :: cons_0:cons_1:cons_2:cons_3 -> 0:2:1:3:encArg:encode_0:encode_2:encode_1:encode_3
cons_0 :: cons_0:cons_1:cons_2:cons_3 -> cons_0:cons_1:cons_2:cons_3
cons_1 :: cons_0:cons_1:cons_2:cons_3 -> cons_0:cons_1:cons_2:cons_3
cons_2 :: cons_0:cons_1:cons_2:cons_3 -> cons_0:cons_1:cons_2:cons_3
cons_3 :: cons_0:cons_1:cons_2:cons_3 -> cons_0:cons_1:cons_2:cons_3
encode_0 :: cons_0:cons_1:cons_2:cons_3 -> 0:2:1:3:encArg:encode_0:encode_2:encode_1:encode_3
encode_2 :: cons_0:cons_1:cons_2:cons_3 -> 0:2:1:3:encArg:encode_0:encode_2:encode_1:encode_3
encode_1 :: cons_0:cons_1:cons_2:cons_3 -> 0:2:1:3:encArg:encode_0:encode_2:encode_1:encode_3
encode_3 :: cons_0:cons_1:cons_2:cons_3 -> 0:2:1:3:encArg:encode_0:encode_2:encode_1:encode_3
hole_0:2:1:3:encArg:encode_0:encode_2:encode_1:encode_31_4 :: 0:2:1:3:encArg:encode_0:encode_2:encode_1:encode_3
hole_cons_0:cons_1:cons_2:cons_32_4 :: cons_0:cons_1:cons_2:cons_3
gen_cons_0:cons_1:cons_2:cons_33_4 :: Nat -> cons_0:cons_1:cons_2:cons_3

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

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

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

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

(10)
Obligation:
TRS:
Rules:
0(0(2(2(1(3(2(2(2(1(0(2(2(0(2(2(0(0(x1)))))))))))))))))) -> 0(2(2(2(2(1(3(0(0(2(1(0(2(2(2(2(0(0(x1))))))))))))))))))
0(0(3(1(0(2(2(0(2(3(1(1(0(1(2(2(0(1(x1)))))))))))))))))) -> 0(2(1(1(3(0(0(0(1(0(2(3(1(2(2(0(2(1(x1))))))))))))))))))
0(1(0(2(1(1(0(0(1(0(3(1(1(0(2(1(2(3(x1)))))))))))))))))) -> 0(1(2(0(0(2(1(1(0(1(1(1(0(1(3(0(2(3(x1))))))))))))))))))
0(1(0(3(2(0(0(0(3(3(0(2(2(2(2(1(1(1(x1)))))))))))))))))) -> 0(0(1(1(3(0(3(0(0(2(2(2(0(2(2(1(3(1(x1))))))))))))))))))
0(1(1(1(1(3(1(1(0(1(3(1(0(2(3(3(3(2(x1)))))))))))))))))) -> 0(2(0(1(3(1(1(3(1(0(1(3(2(1(3(1(1(3(x1))))))))))))))))))
0(1(2(3(2(1(0(1(2(2(0(0(1(0(3(1(0(1(x1)))))))))))))))))) -> 0(2(1(1(1(0(2(2(0(0(1(1(0(3(0(1(3(2(x1))))))))))))))))))
0(2(1(0(3(0(3(0(3(2(0(1(0(1(2(2(1(1(x1)))))))))))))))))) -> 0(2(3(0(3(2(2(1(2(1(1(0(0(3(0(0(1(1(x1))))))))))))))))))
0(2(3(0(1(2(3(2(0(3(1(0(0(0(3(3(0(3(x1)))))))))))))))))) -> 0(2(1(3(0(0(3(3(0(1(0(2(2(3(3(0(0(3(x1))))))))))))))))))
0(3(0(1(0(3(0(1(1(1(2(0(0(0(3(2(1(0(x1)))))))))))))))))) -> 0(0(2(2(1(3(0(0(1(3(0(1(0(1(0(0(1(3(x1))))))))))))))))))
0(3(1(1(2(3(0(3(0(1(0(1(2(2(1(0(2(2(x1)))))))))))))))))) -> 0(0(1(3(0(0(2(2(2(3(2(1(1(1(1(0(3(2(x1))))))))))))))))))
0(3(2(0(3(1(0(1(0(3(0(3(0(0(3(0(0(0(x1)))))))))))))))))) -> 0(3(0(0(0(0(1(2(0(3(3(0(0(3(0(1(3(0(x1))))))))))))))))))
1(0(0(0(1(2(3(3(2(2(1(0(2(3(3(2(0(3(x1)))))))))))))))))) -> 3(0(2(1(1(3(3(1(0(0(2(0(2(2(3(2(0(3(x1))))))))))))))))))
1(0(1(0(2(0(2(3(1(1(2(2(0(0(3(0(3(2(x1)))))))))))))))))) -> 0(0(0(1(1(3(1(3(2(0(0(2(2(1(3(0(2(2(x1))))))))))))))))))
1(0(1(3(2(2(3(2(0(0(1(0(3(2(3(2(3(3(x1)))))))))))))))))) -> 1(3(3(1(2(2(0(3(0(0(1(3(0(2(2(3(2(3(x1))))))))))))))))))
1(0(2(3(1(2(3(1(2(3(2(3(2(1(2(2(2(2(x1)))))))))))))))))) -> 2(3(2(2(3(0(2(1(3(2(2(1(1(1(3(2(2(2(x1))))))))))))))))))
1(0(2(3(3(3(1(0(2(0(1(2(2(3(2(1(0(1(x1)))))))))))))))))) -> 2(3(2(1(0(1(3(1(3(0(2(3(0(2(0(1(2(1(x1))))))))))))))))))
1(0(3(0(3(1(0(3(3(1(2(1(3(2(0(2(1(0(x1)))))))))))))))))) -> 2(2(1(3(0(0(1(3(1(0(2(0(0(3(3(3(1(1(x1))))))))))))))))))
1(0(3(3(1(0(3(3(3(1(1(3(2(0(0(1(3(1(x1)))))))))))))))))) -> 1(3(3(0(1(3(3(0(1(3(3(0(1(3(2(1(0(1(x1))))))))))))))))))
1(1(0(0(1(2(1(2(2(0(3(1(2(3(2(0(0(3(x1)))))))))))))))))) -> 1(2(2(0(2(1(0(2(1(0(0(2(3(0(1(1(3(3(x1))))))))))))))))))
1(1(0(3(1(0(2(3(1(1(0(3(3(0(3(1(1(1(x1)))))))))))))))))) -> 1(1(3(1(3(2(3(0(1(0(3(0(1(3(1(0(1(1(x1))))))))))))))))))
1(1(0(3(1(0(3(3(3(1(1(2(2(2(2(0(1(2(x1)))))))))))))))))) -> 2(1(1(0(0(1(1(2(3(3(3(0(1(2(3(2(1(2(x1))))))))))))))))))
1(1(1(1(0(1(3(2(1(1(2(2(0(2(2(3(0(2(x1)))))))))))))))))) -> 1(1(1(2(3(0(2(2(1(1(1(2(3(0(1(2(0(2(x1))))))))))))))))))
1(1(1(2(1(1(1(2(1(3(1(0(1(2(1(2(3(1(x1)))))))))))))))))) -> 1(1(1(1(1(1(3(0(2(2(1(1(1(2(3(1(2(1(x1))))))))))))))))))
1(1(1(3(1(3(1(0(3(2(1(3(2(1(0(3(0(3(x1)))))))))))))))))) -> 1(2(2(3(0(1(3(1(1(3(0(0(1(3(1(1(3(3(x1))))))))))))))))))
1(1(3(2(0(2(3(1(0(1(0(2(3(3(2(2(0(0(x1)))))))))))))))))) -> 2(0(2(3(2(0(2(0(1(2(1(3(0(1(3(0(1(3(x1))))))))))))))))))
1(1(3(3(2(1(3(3(2(0(1(3(3(3(0(3(2(1(x1)))))))))))))))))) -> 1(3(1(3(0(3(3(3(1(3(3(2(3(1(2(0(2(1(x1))))))))))))))))))
1(2(0(0(2(1(3(2(2(3(2(2(0(3(2(3(2(2(x1)))))))))))))))))) -> 1(2(0(3(2(2(2(2(3(0(0(2(2(2(3(1(3(2(x1))))))))))))))))))
1(2(0(1(2(1(0(2(0(0(3(1(0(2(0(3(2(2(x1)))))))))))))))))) -> 1(1(0(0(0(2(1(0(2(0(3(2(2(1(0(2(3(2(x1))))))))))))))))))
1(2(0(2(0(0(0(3(0(1(0(1(1(0(3(1(0(3(x1)))))))))))))))))) -> 1(3(0(3(1(1(0(1(1(0(0(0(2(2(3(0(0(0(x1))))))))))))))))))
1(2(1(0(3(1(3(3(2(2(2(2(0(0(3(1(0(1(x1)))))))))))))))))) -> 3(1(2(0(1(3(2(3(2(2(0(0(0(2(3(1(1(1(x1))))))))))))))))))
1(2(1(2(1(2(0(1(0(1(3(1(0(0(0(1(3(3(x1)))))))))))))))))) -> 1(1(2(2(1(0(1(3(0(1(1(3(0(2(1(3(0(0(x1))))))))))))))))))
1(2(1(3(2(3(3(1(1(1(0(1(0(0(3(2(0(3(x1)))))))))))))))))) -> 1(3(3(2(3(0(2(1(3(1(1(3(1(2(1(0(0(0(x1))))))))))))))))))
1(2(3(0(3(2(0(2(0(2(0(3(2(0(2(2(0(0(x1)))))))))))))))))) -> 1(2(2(2(0(3(3(0(0(2(0(0(0(2(2(2(3(0(x1))))))))))))))))))
1(2(3(1(1(0(0(3(3(0(2(1(3(3(0(3(2(3(x1)))))))))))))))))) -> 3(1(3(0(2(3(3(1(3(0(2(1(2(0(0(1(3(3(x1))))))))))))))))))
1(2(3(3(1(2(2(2(1(0(1(2(0(1(3(2(0(1(x1)))))))))))))))))) -> 3(3(0(0(2(0(2(2(1(1(1(3(1(2(2(1(2(1(x1))))))))))))))))))
1(2(3(3(2(1(0(3(2(2(1(0(3(1(0(0(0(0(x1)))))))))))))))))) -> 0(3(0(1(2(1(3(0(1(0(2(1(2(3(3(0(2(0(x1))))))))))))))))))
1(3(1(1(0(1(2(1(1(1(0(3(1(1(0(2(3(1(x1)))))))))))))))))) -> 1(1(3(2(1(3(1(1(0(0(1(3(2(1(0(1(1(1(x1))))))))))))))))))
1(3(1(3(2(0(1(3(1(1(3(2(3(3(3(3(0(1(x1)))))))))))))))))) -> 1(3(3(3(1(2(3(1(3(0(2(1(1(3(0(3(3(1(x1))))))))))))))))))
1(3(2(2(1(0(1(2(1(0(3(1(0(3(2(3(0(3(x1)))))))))))))))))) -> 3(1(3(2(1(1(0(0(2(0(0(3(1(3(2(2(1(3(x1))))))))))))))))))
1(3(3(0(0(3(3(1(0(0(2(3(3(1(3(2(3(1(x1)))))))))))))))))) -> 1(3(0(0(1(3(0(1(3(3(2(2(3(3(3(3(0(1(x1))))))))))))))))))
1(3(3(0(1(1(3(2(2(1(1(0(3(1(2(1(0(0(x1)))))))))))))))))) -> 1(3(1(1(0(0(1(1(2(1(3(0(2(3(1(0(2(3(x1))))))))))))))))))
1(3(3(2(2(1(0(3(2(1(1(1(2(3(1(0(1(0(x1)))))))))))))))))) -> 2(0(1(2(1(2(1(3(1(1(3(0(3(2(1(3(0(1(x1))))))))))))))))))
2(0(0(3(1(2(3(2(0(2(3(0(1(2(2(0(0(2(x1)))))))))))))))))) -> 2(0(2(3(1(3(0(0(3(2(0(1(0(2(0(2(2(2(x1))))))))))))))))))
2(0(1(0(2(2(2(2(0(3(2(3(1(2(3(0(3(2(x1)))))))))))))))))) -> 2(0(2(0(2(2(3(0(3(3(1(3(0(1(2(2(2(2(x1))))))))))))))))))
2(0(1(3(3(3(3(3(1(1(3(2(0(1(0(0(1(0(x1)))))))))))))))))) -> 1(3(0(2(1(1(3(0(2(3(0(0(3(1(3(3(1(0(x1))))))))))))))))))
2(0(3(0(3(2(3(2(1(0(1(2(2(0(0(0(1(2(x1)))))))))))))))))) -> 0(2(2(1(2(0(1(2(0(3(0(0(2(1(3(0(3(2(x1))))))))))))))))))
2(1(0(1(1(3(3(0(1(0(1(2(3(3(0(3(2(2(x1)))))))))))))))))) -> 0(3(3(1(3(3(0(2(1(1(3(1(0(2(1(2(0(2(x1))))))))))))))))))
2(1(1(1(0(2(2(2(1(0(2(0(0(2(2(2(2(1(x1)))))))))))))))))) -> 2(2(2(2(1(1(2(0(1(0(0(0(2(1(2(2(2(1(x1))))))))))))))))))
2(1(2(2(2(0(2(1(2(3(0(0(3(1(2(2(1(3(x1)))))))))))))))))) -> 0(2(0(2(1(3(2(2(1(3(2(2(1(3(0(2(1(2(x1))))))))))))))))))
2(1(2(2(2(1(3(2(0(0(2(3(2(3(3(3(0(3(x1)))))))))))))))))) -> 2(3(3(1(3(2(0(3(2(1(3(0(2(2(2(2(3(0(x1))))))))))))))))))
2(1(2(2(3(2(3(0(1(3(2(1(1(3(3(2(2(2(x1)))))))))))))))))) -> 2(1(1(1(3(2(3(2(2(3(0(2(3(2(1(3(2(2(x1))))))))))))))))))
2(1(2(3(3(3(0(2(0(0(2(2(1(0(2(0(2(0(x1)))))))))))))))))) -> 0(3(0(2(2(2(1(3(0(0(1(3(0(0(2(2(2(2(x1))))))))))))))))))
2(1(3(3(3(1(2(1(2(1(0(0(3(1(3(2(0(0(x1)))))))))))))))))) -> 2(1(3(0(1(3(1(0(2(2(0(0(1(3(1(3(2(3(x1))))))))))))))))))
2(2(0(0(2(1(1(2(1(2(0(1(2(2(2(2(2(2(x1)))))))))))))))))) -> 2(2(2(2(1(1(0(2(1(1(2(2(0(2(0(2(2(2(x1))))))))))))))))))
2(2(0(3(1(2(0(3(1(2(1(3(0(1(0(3(0(0(x1)))))))))))))))))) -> 2(3(2(2(1(3(0(3(0(1(3(0(0(0(1(1(2(0(x1))))))))))))))))))
2(2(1(0(1(2(0(0(3(0(2(1(1(2(1(2(1(2(x1)))))))))))))))))) -> 2(2(1(0(3(2(1(1(1(0(0(2(0(1(2(2(1(2(x1))))))))))))))))))
2(2(1(1(2(3(1(2(1(3(1(0(2(2(0(3(1(1(x1)))))))))))))))))) -> 2(2(1(2(3(1(1(3(1(2(2(1(0(0(2(1(3(1(x1))))))))))))))))))
2(2(1(1(3(1(0(0(1(2(3(2(3(1(0(1(1(0(x1)))))))))))))))))) -> 0(1(2(2(3(1(0(2(1(3(2(1(1(3(0(1(1(0(x1))))))))))))))))))
2(2(1(2(3(2(0(2(0(3(1(0(1(1(0(1(3(3(x1)))))))))))))))))) -> 2(2(0(1(2(0(1(2(3(1(0(2(0(1(3(1(3(3(x1))))))))))))))))))
2(2(2(2(1(1(0(1(1(2(2(0(0(1(2(2(1(1(x1)))))))))))))))))) -> 0(2(1(2(0(2(0(2(2(1(2(2(2(1(1(1(1(1(x1))))))))))))))))))
2(2(3(1(2(3(0(3(1(1(1(0(1(1(0(1(3(1(x1)))))))))))))))))) -> 2(3(1(1(2(0(1(3(1(1(0(1(1(3(1(3(0(2(x1))))))))))))))))))
2(2(3(3(1(3(1(1(0(1(2(2(0(3(2(0(3(3(x1)))))))))))))))))) -> 2(2(3(1(3(2(1(3(3(1(0(0(2(3(3(1(0(2(x1))))))))))))))))))
2(3(0(2(0(3(2(0(2(3(2(1(2(2(2(3(0(3(x1)))))))))))))))))) -> 2(3(2(3(3(0(0(2(2(2(1(3(2(0(2(3(2(0(x1))))))))))))))))))
2(3(1(0(1(0(1(2(1(0(3(1(0(3(1(2(2(3(x1)))))))))))))))))) -> 2(1(2(1(1(0(1(0(2(3(0(0(3(3(3(1(1(2(x1))))))))))))))))))
2(3(1(0(2(3(1(0(0(1(0(1(0(1(2(2(1(0(x1)))))))))))))))))) -> 2(0(3(1(0(1(0(1(2(0(2(2(1(3(0(0(1(1(x1))))))))))))))))))
2(3(1(1(0(3(1(2(1(0(1(3(2(0(1(2(1(1(x1)))))))))))))))))) -> 2(3(2(0(1(1(1(3(2(1(1(3(0(0(1(1(2(1(x1))))))))))))))))))
2(3(2(1(0(0(0(2(3(2(3(0(3(0(2(1(1(2(x1)))))))))))))))))) -> 2(2(3(0(3(0(2(1(0(2(2(0(1(3(1(3(0(2(x1))))))))))))))))))
2(3(2(2(2(3(0(3(1(0(3(2(1(1(2(0(2(3(x1)))))))))))))))))) -> 2(2(1(1(0(1(2(3(3(0(3(3(2(2(2(0(2(3(x1))))))))))))))))))
2(3(3(2(3(1(0(1(1(1(3(1(0(1(0(3(2(0(x1)))))))))))))))))) -> 2(1(0(0(1(2(3(1(1(3(3(3(1(1(3(2(0(0(x1))))))))))))))))))
3(0(1(0(1(2(3(3(1(2(3(2(1(1(1(3(3(0(x1)))))))))))))))))) -> 3(0(1(2(1(3(3(1(3(0(1(3(1(2(0(1(3(2(x1))))))))))))))))))
3(0(3(1(0(1(0(3(3(1(0(3(2(3(3(2(0(3(x1)))))))))))))))))) -> 1(3(0(2(0(0(3(3(2(1(3(0(3(3(1(3(3(0(x1))))))))))))))))))
3(1(0(0(3(0(3(2(3(2(3(0(1(0(1(1(2(3(x1)))))))))))))))))) -> 3(0(1(3(2(3(3(1(1(0(2(0(0(3(1(3(0(2(x1))))))))))))))))))
3(1(1(0(3(0(1(1(3(2(1(2(3(3(1(3(3(1(x1)))))))))))))))))) -> 3(1(3(2(1(1(1(3(3(0(3(2(1(3(0(1(3(1(x1))))))))))))))))))
3(1(2(0(3(2(2(3(2(0(3(3(2(3(3(1(1(3(x1)))))))))))))))))) -> 3(2(2(3(1(3(3(2(1(3(3(0(2(0(2(3(1(3(x1))))))))))))))))))
3(1(2(3(2(0(2(3(1(1(1(3(3(2(0(0(0(3(x1)))))))))))))))))) -> 3(1(3(2(1(3(0(2(1(0(0(2(3(1(2(3(3(0(x1))))))))))))))))))
3(2(0(1(2(1(0(3(3(3(3(1(2(1(1(0(1(0(x1)))))))))))))))))) -> 3(0(0(2(1(3(2(3(3(1(1(3(1(1(0(2(0(1(x1))))))))))))))))))
3(2(3(2(2(0(3(3(2(0(1(0(0(2(0(1(1(1(x1)))))))))))))))))) -> 3(0(1(3(2(0(3(0(1(2(3(0(2(0(2(2(1(1(x1))))))))))))))))))
3(3(0(1(0(3(2(0(1(1(1(1(3(1(2(3(3(3(x1)))))))))))))))))) -> 3(2(3(1(1(1(0(3(3(0(2(1(3(0(1(3(1(3(x1))))))))))))))))))
3(3(1(0(3(2(3(0(3(1(0(2(0(3(0(2(2(0(x1)))))))))))))))))) -> 3(3(3(2(0(3(0(3(0(1(0(0(1(3(0(2(2(2(x1))))))))))))))))))
3(3(1(2(2(2(3(3(3(1(3(0(1(1(1(2(1(0(x1)))))))))))))))))) -> 3(3(3(1(2(3(1(3(0(2(2(1(3(0(2(1(1(1(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_2(x_1) -> 2(encArg(x_1))
encode_1(x_1) -> 1(encArg(x_1))
encode_3(x_1) -> 3(encArg(x_1))

Types:
0 :: 0:2:1:3:encArg:encode_0:encode_2:encode_1:encode_3 -> 0:2:1:3:encArg:encode_0:encode_2:encode_1:encode_3
2 :: 0:2:1:3:encArg:encode_0:encode_2:encode_1:encode_3 -> 0:2:1:3:encArg:encode_0:encode_2:encode_1:encode_3
1 :: 0:2:1:3:encArg:encode_0:encode_2:encode_1:encode_3 -> 0:2:1:3:encArg:encode_0:encode_2:encode_1:encode_3
3 :: 0:2:1:3:encArg:encode_0:encode_2:encode_1:encode_3 -> 0:2:1:3:encArg:encode_0:encode_2:encode_1:encode_3
encArg :: cons_0:cons_1:cons_2:cons_3 -> 0:2:1:3:encArg:encode_0:encode_2:encode_1:encode_3
cons_0 :: cons_0:cons_1:cons_2:cons_3 -> cons_0:cons_1:cons_2:cons_3
cons_1 :: cons_0:cons_1:cons_2:cons_3 -> cons_0:cons_1:cons_2:cons_3
cons_2 :: cons_0:cons_1:cons_2:cons_3 -> cons_0:cons_1:cons_2:cons_3
cons_3 :: cons_0:cons_1:cons_2:cons_3 -> cons_0:cons_1:cons_2:cons_3
encode_0 :: cons_0:cons_1:cons_2:cons_3 -> 0:2:1:3:encArg:encode_0:encode_2:encode_1:encode_3
encode_2 :: cons_0:cons_1:cons_2:cons_3 -> 0:2:1:3:encArg:encode_0:encode_2:encode_1:encode_3
encode_1 :: cons_0:cons_1:cons_2:cons_3 -> 0:2:1:3:encArg:encode_0:encode_2:encode_1:encode_3
encode_3 :: cons_0:cons_1:cons_2:cons_3 -> 0:2:1:3:encArg:encode_0:encode_2:encode_1:encode_3
hole_0:2:1:3:encArg:encode_0:encode_2:encode_1:encode_31_4 :: 0:2:1:3:encArg:encode_0:encode_2:encode_1:encode_3
hole_cons_0:cons_1:cons_2:cons_32_4 :: cons_0:cons_1:cons_2:cons_3
gen_cons_0:cons_1:cons_2:cons_33_4 :: Nat -> cons_0:cons_1:cons_2:cons_3


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


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

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

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

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

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

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


The TRS R consists of the following rules:

   0(0(2(2(1(3(2(2(2(1(0(2(2(0(2(2(0(0(x1)))))))))))))))))) -> 0(2(2(2(2(1(3(0(0(2(1(0(2(2(2(2(0(0(x1))))))))))))))))))
   0(0(3(1(0(2(2(0(2(3(1(1(0(1(2(2(0(1(x1)))))))))))))))))) -> 0(2(1(1(3(0(0(0(1(0(2(3(1(2(2(0(2(1(x1))))))))))))))))))
   0(1(0(2(1(1(0(0(1(0(3(1(1(0(2(1(2(3(x1)))))))))))))))))) -> 0(1(2(0(0(2(1(1(0(1(1(1(0(1(3(0(2(3(x1))))))))))))))))))
   0(1(0(3(2(0(0(0(3(3(0(2(2(2(2(1(1(1(x1)))))))))))))))))) -> 0(0(1(1(3(0(3(0(0(2(2(2(0(2(2(1(3(1(x1))))))))))))))))))
   0(1(1(1(1(3(1(1(0(1(3(1(0(2(3(3(3(2(x1)))))))))))))))))) -> 0(2(0(1(3(1(1(3(1(0(1(3(2(1(3(1(1(3(x1))))))))))))))))))
   0(1(2(3(2(1(0(1(2(2(0(0(1(0(3(1(0(1(x1)))))))))))))))))) -> 0(2(1(1(1(0(2(2(0(0(1(1(0(3(0(1(3(2(x1))))))))))))))))))
   0(2(1(0(3(0(3(0(3(2(0(1(0(1(2(2(1(1(x1)))))))))))))))))) -> 0(2(3(0(3(2(2(1(2(1(1(0(0(3(0(0(1(1(x1))))))))))))))))))
   0(2(3(0(1(2(3(2(0(3(1(0(0(0(3(3(0(3(x1)))))))))))))))))) -> 0(2(1(3(0(0(3(3(0(1(0(2(2(3(3(0(0(3(x1))))))))))))))))))
   0(3(0(1(0(3(0(1(1(1(2(0(0(0(3(2(1(0(x1)))))))))))))))))) -> 0(0(2(2(1(3(0(0(1(3(0(1(0(1(0(0(1(3(x1))))))))))))))))))
   0(3(1(1(2(3(0(3(0(1(0(1(2(2(1(0(2(2(x1)))))))))))))))))) -> 0(0(1(3(0(0(2(2(2(3(2(1(1(1(1(0(3(2(x1))))))))))))))))))
   0(3(2(0(3(1(0(1(0(3(0(3(0(0(3(0(0(0(x1)))))))))))))))))) -> 0(3(0(0(0(0(1(2(0(3(3(0(0(3(0(1(3(0(x1))))))))))))))))))
   1(0(0(0(1(2(3(3(2(2(1(0(2(3(3(2(0(3(x1)))))))))))))))))) -> 3(0(2(1(1(3(3(1(0(0(2(0(2(2(3(2(0(3(x1))))))))))))))))))
   1(0(1(0(2(0(2(3(1(1(2(2(0(0(3(0(3(2(x1)))))))))))))))))) -> 0(0(0(1(1(3(1(3(2(0(0(2(2(1(3(0(2(2(x1))))))))))))))))))
   1(0(1(3(2(2(3(2(0(0(1(0(3(2(3(2(3(3(x1)))))))))))))))))) -> 1(3(3(1(2(2(0(3(0(0(1(3(0(2(2(3(2(3(x1))))))))))))))))))
   1(0(2(3(1(2(3(1(2(3(2(3(2(1(2(2(2(2(x1)))))))))))))))))) -> 2(3(2(2(3(0(2(1(3(2(2(1(1(1(3(2(2(2(x1))))))))))))))))))
   1(0(2(3(3(3(1(0(2(0(1(2(2(3(2(1(0(1(x1)))))))))))))))))) -> 2(3(2(1(0(1(3(1(3(0(2(3(0(2(0(1(2(1(x1))))))))))))))))))
   1(0(3(0(3(1(0(3(3(1(2(1(3(2(0(2(1(0(x1)))))))))))))))))) -> 2(2(1(3(0(0(1(3(1(0(2(0(0(3(3(3(1(1(x1))))))))))))))))))
   1(0(3(3(1(0(3(3(3(1(1(3(2(0(0(1(3(1(x1)))))))))))))))))) -> 1(3(3(0(1(3(3(0(1(3(3(0(1(3(2(1(0(1(x1))))))))))))))))))
   1(1(0(0(1(2(1(2(2(0(3(1(2(3(2(0(0(3(x1)))))))))))))))))) -> 1(2(2(0(2(1(0(2(1(0(0(2(3(0(1(1(3(3(x1))))))))))))))))))
   1(1(0(3(1(0(2(3(1(1(0(3(3(0(3(1(1(1(x1)))))))))))))))))) -> 1(1(3(1(3(2(3(0(1(0(3(0(1(3(1(0(1(1(x1))))))))))))))))))
   1(1(0(3(1(0(3(3(3(1(1(2(2(2(2(0(1(2(x1)))))))))))))))))) -> 2(1(1(0(0(1(1(2(3(3(3(0(1(2(3(2(1(2(x1))))))))))))))))))
   1(1(1(1(0(1(3(2(1(1(2(2(0(2(2(3(0(2(x1)))))))))))))))))) -> 1(1(1(2(3(0(2(2(1(1(1(2(3(0(1(2(0(2(x1))))))))))))))))))
   1(1(1(2(1(1(1(2(1(3(1(0(1(2(1(2(3(1(x1)))))))))))))))))) -> 1(1(1(1(1(1(3(0(2(2(1(1(1(2(3(1(2(1(x1))))))))))))))))))
   1(1(1(3(1(3(1(0(3(2(1(3(2(1(0(3(0(3(x1)))))))))))))))))) -> 1(2(2(3(0(1(3(1(1(3(0(0(1(3(1(1(3(3(x1))))))))))))))))))
   1(1(3(2(0(2(3(1(0(1(0(2(3(3(2(2(0(0(x1)))))))))))))))))) -> 2(0(2(3(2(0(2(0(1(2(1(3(0(1(3(0(1(3(x1))))))))))))))))))
   1(1(3(3(2(1(3(3(2(0(1(3(3(3(0(3(2(1(x1)))))))))))))))))) -> 1(3(1(3(0(3(3(3(1(3(3(2(3(1(2(0(2(1(x1))))))))))))))))))
   1(2(0(0(2(1(3(2(2(3(2(2(0(3(2(3(2(2(x1)))))))))))))))))) -> 1(2(0(3(2(2(2(2(3(0(0(2(2(2(3(1(3(2(x1))))))))))))))))))
   1(2(0(1(2(1(0(2(0(0(3(1(0(2(0(3(2(2(x1)))))))))))))))))) -> 1(1(0(0(0(2(1(0(2(0(3(2(2(1(0(2(3(2(x1))))))))))))))))))
   1(2(0(2(0(0(0(3(0(1(0(1(1(0(3(1(0(3(x1)))))))))))))))))) -> 1(3(0(3(1(1(0(1(1(0(0(0(2(2(3(0(0(0(x1))))))))))))))))))
   1(2(1(0(3(1(3(3(2(2(2(2(0(0(3(1(0(1(x1)))))))))))))))))) -> 3(1(2(0(1(3(2(3(2(2(0(0(0(2(3(1(1(1(x1))))))))))))))))))
   1(2(1(2(1(2(0(1(0(1(3(1(0(0(0(1(3(3(x1)))))))))))))))))) -> 1(1(2(2(1(0(1(3(0(1(1(3(0(2(1(3(0(0(x1))))))))))))))))))
   1(2(1(3(2(3(3(1(1(1(0(1(0(0(3(2(0(3(x1)))))))))))))))))) -> 1(3(3(2(3(0(2(1(3(1(1(3(1(2(1(0(0(0(x1))))))))))))))))))
   1(2(3(0(3(2(0(2(0(2(0(3(2(0(2(2(0(0(x1)))))))))))))))))) -> 1(2(2(2(0(3(3(0(0(2(0(0(0(2(2(2(3(0(x1))))))))))))))))))
   1(2(3(1(1(0(0(3(3(0(2(1(3(3(0(3(2(3(x1)))))))))))))))))) -> 3(1(3(0(2(3(3(1(3(0(2(1(2(0(0(1(3(3(x1))))))))))))))))))
   1(2(3(3(1(2(2(2(1(0(1(2(0(1(3(2(0(1(x1)))))))))))))))))) -> 3(3(0(0(2(0(2(2(1(1(1(3(1(2(2(1(2(1(x1))))))))))))))))))
   1(2(3(3(2(1(0(3(2(2(1(0(3(1(0(0(0(0(x1)))))))))))))))))) -> 0(3(0(1(2(1(3(0(1(0(2(1(2(3(3(0(2(0(x1))))))))))))))))))
   1(3(1(1(0(1(2(1(1(1(0(3(1(1(0(2(3(1(x1)))))))))))))))))) -> 1(1(3(2(1(3(1(1(0(0(1(3(2(1(0(1(1(1(x1))))))))))))))))))
   1(3(1(3(2(0(1(3(1(1(3(2(3(3(3(3(0(1(x1)))))))))))))))))) -> 1(3(3(3(1(2(3(1(3(0(2(1(1(3(0(3(3(1(x1))))))))))))))))))
   1(3(2(2(1(0(1(2(1(0(3(1(0(3(2(3(0(3(x1)))))))))))))))))) -> 3(1(3(2(1(1(0(0(2(0(0(3(1(3(2(2(1(3(x1))))))))))))))))))
   1(3(3(0(0(3(3(1(0(0(2(3(3(1(3(2(3(1(x1)))))))))))))))))) -> 1(3(0(0(1(3(0(1(3(3(2(2(3(3(3(3(0(1(x1))))))))))))))))))
   1(3(3(0(1(1(3(2(2(1(1(0(3(1(2(1(0(0(x1)))))))))))))))))) -> 1(3(1(1(0(0(1(1(2(1(3(0(2(3(1(0(2(3(x1))))))))))))))))))
   1(3(3(2(2(1(0(3(2(1(1(1(2(3(1(0(1(0(x1)))))))))))))))))) -> 2(0(1(2(1(2(1(3(1(1(3(0(3(2(1(3(0(1(x1))))))))))))))))))
   2(0(0(3(1(2(3(2(0(2(3(0(1(2(2(0(0(2(x1)))))))))))))))))) -> 2(0(2(3(1(3(0(0(3(2(0(1(0(2(0(2(2(2(x1))))))))))))))))))
   2(0(1(0(2(2(2(2(0(3(2(3(1(2(3(0(3(2(x1)))))))))))))))))) -> 2(0(2(0(2(2(3(0(3(3(1(3(0(1(2(2(2(2(x1))))))))))))))))))
   2(0(1(3(3(3(3(3(1(1(3(2(0(1(0(0(1(0(x1)))))))))))))))))) -> 1(3(0(2(1(1(3(0(2(3(0(0(3(1(3(3(1(0(x1))))))))))))))))))
   2(0(3(0(3(2(3(2(1(0(1(2(2(0(0(0(1(2(x1)))))))))))))))))) -> 0(2(2(1(2(0(1(2(0(3(0(0(2(1(3(0(3(2(x1))))))))))))))))))
   2(1(0(1(1(3(3(0(1(0(1(2(3(3(0(3(2(2(x1)))))))))))))))))) -> 0(3(3(1(3(3(0(2(1(1(3(1(0(2(1(2(0(2(x1))))))))))))))))))
   2(1(1(1(0(2(2(2(1(0(2(0(0(2(2(2(2(1(x1)))))))))))))))))) -> 2(2(2(2(1(1(2(0(1(0(0(0(2(1(2(2(2(1(x1))))))))))))))))))
   2(1(2(2(2(0(2(1(2(3(0(0(3(1(2(2(1(3(x1)))))))))))))))))) -> 0(2(0(2(1(3(2(2(1(3(2(2(1(3(0(2(1(2(x1))))))))))))))))))
   2(1(2(2(2(1(3(2(0(0(2(3(2(3(3(3(0(3(x1)))))))))))))))))) -> 2(3(3(1(3(2(0(3(2(1(3(0(2(2(2(2(3(0(x1))))))))))))))))))
   2(1(2(2(3(2(3(0(1(3(2(1(1(3(3(2(2(2(x1)))))))))))))))))) -> 2(1(1(1(3(2(3(2(2(3(0(2(3(2(1(3(2(2(x1))))))))))))))))))
   2(1(2(3(3(3(0(2(0(0(2(2(1(0(2(0(2(0(x1)))))))))))))))))) -> 0(3(0(2(2(2(1(3(0(0(1(3(0(0(2(2(2(2(x1))))))))))))))))))
   2(1(3(3(3(1(2(1(2(1(0(0(3(1(3(2(0(0(x1)))))))))))))))))) -> 2(1(3(0(1(3(1(0(2(2(0(0(1(3(1(3(2(3(x1))))))))))))))))))
   2(2(0(0(2(1(1(2(1(2(0(1(2(2(2(2(2(2(x1)))))))))))))))))) -> 2(2(2(2(1(1(0(2(1(1(2(2(0(2(0(2(2(2(x1))))))))))))))))))
   2(2(0(3(1(2(0(3(1(2(1(3(0(1(0(3(0(0(x1)))))))))))))))))) -> 2(3(2(2(1(3(0(3(0(1(3(0(0(0(1(1(2(0(x1))))))))))))))))))
   2(2(1(0(1(2(0(0(3(0(2(1(1(2(1(2(1(2(x1)))))))))))))))))) -> 2(2(1(0(3(2(1(1(1(0(0(2(0(1(2(2(1(2(x1))))))))))))))))))
   2(2(1(1(2(3(1(2(1(3(1(0(2(2(0(3(1(1(x1)))))))))))))))))) -> 2(2(1(2(3(1(1(3(1(2(2(1(0(0(2(1(3(1(x1))))))))))))))))))
   2(2(1(1(3(1(0(0(1(2(3(2(3(1(0(1(1(0(x1)))))))))))))))))) -> 0(1(2(2(3(1(0(2(1(3(2(1(1(3(0(1(1(0(x1))))))))))))))))))
   2(2(1(2(3(2(0(2(0(3(1(0(1(1(0(1(3(3(x1)))))))))))))))))) -> 2(2(0(1(2(0(1(2(3(1(0(2(0(1(3(1(3(3(x1))))))))))))))))))
   2(2(2(2(1(1(0(1(1(2(2(0(0(1(2(2(1(1(x1)))))))))))))))))) -> 0(2(1(2(0(2(0(2(2(1(2(2(2(1(1(1(1(1(x1))))))))))))))))))
   2(2(3(1(2(3(0(3(1(1(1(0(1(1(0(1(3(1(x1)))))))))))))))))) -> 2(3(1(1(2(0(1(3(1(1(0(1(1(3(1(3(0(2(x1))))))))))))))))))
   2(2(3(3(1(3(1(1(0(1(2(2(0(3(2(0(3(3(x1)))))))))))))))))) -> 2(2(3(1(3(2(1(3(3(1(0(0(2(3(3(1(0(2(x1))))))))))))))))))
   2(3(0(2(0(3(2(0(2(3(2(1(2(2(2(3(0(3(x1)))))))))))))))))) -> 2(3(2(3(3(0(0(2(2(2(1(3(2(0(2(3(2(0(x1))))))))))))))))))
   2(3(1(0(1(0(1(2(1(0(3(1(0(3(1(2(2(3(x1)))))))))))))))))) -> 2(1(2(1(1(0(1(0(2(3(0(0(3(3(3(1(1(2(x1))))))))))))))))))
   2(3(1(0(2(3(1(0(0(1(0(1(0(1(2(2(1(0(x1)))))))))))))))))) -> 2(0(3(1(0(1(0(1(2(0(2(2(1(3(0(0(1(1(x1))))))))))))))))))
   2(3(1(1(0(3(1(2(1(0(1(3(2(0(1(2(1(1(x1)))))))))))))))))) -> 2(3(2(0(1(1(1(3(2(1(1(3(0(0(1(1(2(1(x1))))))))))))))))))
   2(3(2(1(0(0(0(2(3(2(3(0(3(0(2(1(1(2(x1)))))))))))))))))) -> 2(2(3(0(3(0(2(1(0(2(2(0(1(3(1(3(0(2(x1))))))))))))))))))
   2(3(2(2(2(3(0(3(1(0(3(2(1(1(2(0(2(3(x1)))))))))))))))))) -> 2(2(1(1(0(1(2(3(3(0(3(3(2(2(2(0(2(3(x1))))))))))))))))))
   2(3(3(2(3(1(0(1(1(1(3(1(0(1(0(3(2(0(x1)))))))))))))))))) -> 2(1(0(0(1(2(3(1(1(3(3(3(1(1(3(2(0(0(x1))))))))))))))))))
   3(0(1(0(1(2(3(3(1(2(3(2(1(1(1(3(3(0(x1)))))))))))))))))) -> 3(0(1(2(1(3(3(1(3(0(1(3(1(2(0(1(3(2(x1))))))))))))))))))
   3(0(3(1(0(1(0(3(3(1(0(3(2(3(3(2(0(3(x1)))))))))))))))))) -> 1(3(0(2(0(0(3(3(2(1(3(0(3(3(1(3(3(0(x1))))))))))))))))))
   3(1(0(0(3(0(3(2(3(2(3(0(1(0(1(1(2(3(x1)))))))))))))))))) -> 3(0(1(3(2(3(3(1(1(0(2(0(0(3(1(3(0(2(x1))))))))))))))))))
   3(1(1(0(3(0(1(1(3(2(1(2(3(3(1(3(3(1(x1)))))))))))))))))) -> 3(1(3(2(1(1(1(3(3(0(3(2(1(3(0(1(3(1(x1))))))))))))))))))
   3(1(2(0(3(2(2(3(2(0(3(3(2(3(3(1(1(3(x1)))))))))))))))))) -> 3(2(2(3(1(3(3(2(1(3(3(0(2(0(2(3(1(3(x1))))))))))))))))))
   3(1(2(3(2(0(2(3(1(1(1(3(3(2(0(0(0(3(x1)))))))))))))))))) -> 3(1(3(2(1(3(0(2(1(0(0(2(3(1(2(3(3(0(x1))))))))))))))))))
   3(2(0(1(2(1(0(3(3(3(3(1(2(1(1(0(1(0(x1)))))))))))))))))) -> 3(0(0(2(1(3(2(3(3(1(1(3(1(1(0(2(0(1(x1))))))))))))))))))
   3(2(3(2(2(0(3(3(2(0(1(0(0(2(0(1(1(1(x1)))))))))))))))))) -> 3(0(1(3(2(0(3(0(1(2(3(0(2(0(2(2(1(1(x1))))))))))))))))))
   3(3(0(1(0(3(2(0(1(1(1(1(3(1(2(3(3(3(x1)))))))))))))))))) -> 3(2(3(1(1(1(0(3(3(0(2(1(3(0(1(3(1(3(x1))))))))))))))))))
   3(3(1(0(3(2(3(0(3(1(0(2(0(3(0(2(2(0(x1)))))))))))))))))) -> 3(3(3(2(0(3(0(3(0(1(0(0(1(3(0(2(2(2(x1))))))))))))))))))
   3(3(1(2(2(2(3(3(3(1(3(0(1(1(1(2(1(0(x1)))))))))))))))))) -> 3(3(3(1(2(3(1(3(0(2(2(1(3(0(2(1(1(1(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_2(x_1) -> 2(encArg(x_1))
   encode_1(x_1) -> 1(encArg(x_1))
   encode_3(x_1) -> 3(encArg(x_1))

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

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

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


The TRS R consists of the following rules:

   0(0(2(2(1(3(2(2(2(1(0(2(2(0(2(2(0(0(x1)))))))))))))))))) -> 0(2(2(2(2(1(3(0(0(2(1(0(2(2(2(2(0(0(x1))))))))))))))))))
   0(0(3(1(0(2(2(0(2(3(1(1(0(1(2(2(0(1(x1)))))))))))))))))) -> 0(2(1(1(3(0(0(0(1(0(2(3(1(2(2(0(2(1(x1))))))))))))))))))
   0(1(0(2(1(1(0(0(1(0(3(1(1(0(2(1(2(3(x1)))))))))))))))))) -> 0(1(2(0(0(2(1(1(0(1(1(1(0(1(3(0(2(3(x1))))))))))))))))))
   0(1(0(3(2(0(0(0(3(3(0(2(2(2(2(1(1(1(x1)))))))))))))))))) -> 0(0(1(1(3(0(3(0(0(2(2(2(0(2(2(1(3(1(x1))))))))))))))))))
   0(1(1(1(1(3(1(1(0(1(3(1(0(2(3(3(3(2(x1)))))))))))))))))) -> 0(2(0(1(3(1(1(3(1(0(1(3(2(1(3(1(1(3(x1))))))))))))))))))
   0(1(2(3(2(1(0(1(2(2(0(0(1(0(3(1(0(1(x1)))))))))))))))))) -> 0(2(1(1(1(0(2(2(0(0(1(1(0(3(0(1(3(2(x1))))))))))))))))))
   0(2(1(0(3(0(3(0(3(2(0(1(0(1(2(2(1(1(x1)))))))))))))))))) -> 0(2(3(0(3(2(2(1(2(1(1(0(0(3(0(0(1(1(x1))))))))))))))))))
   0(2(3(0(1(2(3(2(0(3(1(0(0(0(3(3(0(3(x1)))))))))))))))))) -> 0(2(1(3(0(0(3(3(0(1(0(2(2(3(3(0(0(3(x1))))))))))))))))))
   0(3(0(1(0(3(0(1(1(1(2(0(0(0(3(2(1(0(x1)))))))))))))))))) -> 0(0(2(2(1(3(0(0(1(3(0(1(0(1(0(0(1(3(x1))))))))))))))))))
   0(3(1(1(2(3(0(3(0(1(0(1(2(2(1(0(2(2(x1)))))))))))))))))) -> 0(0(1(3(0(0(2(2(2(3(2(1(1(1(1(0(3(2(x1))))))))))))))))))
   0(3(2(0(3(1(0(1(0(3(0(3(0(0(3(0(0(0(x1)))))))))))))))))) -> 0(3(0(0(0(0(1(2(0(3(3(0(0(3(0(1(3(0(x1))))))))))))))))))
   1(0(0(0(1(2(3(3(2(2(1(0(2(3(3(2(0(3(x1)))))))))))))))))) -> 3(0(2(1(1(3(3(1(0(0(2(0(2(2(3(2(0(3(x1))))))))))))))))))
   1(0(1(0(2(0(2(3(1(1(2(2(0(0(3(0(3(2(x1)))))))))))))))))) -> 0(0(0(1(1(3(1(3(2(0(0(2(2(1(3(0(2(2(x1))))))))))))))))))
   1(0(1(3(2(2(3(2(0(0(1(0(3(2(3(2(3(3(x1)))))))))))))))))) -> 1(3(3(1(2(2(0(3(0(0(1(3(0(2(2(3(2(3(x1))))))))))))))))))
   1(0(2(3(1(2(3(1(2(3(2(3(2(1(2(2(2(2(x1)))))))))))))))))) -> 2(3(2(2(3(0(2(1(3(2(2(1(1(1(3(2(2(2(x1))))))))))))))))))
   1(0(2(3(3(3(1(0(2(0(1(2(2(3(2(1(0(1(x1)))))))))))))))))) -> 2(3(2(1(0(1(3(1(3(0(2(3(0(2(0(1(2(1(x1))))))))))))))))))
   1(0(3(0(3(1(0(3(3(1(2(1(3(2(0(2(1(0(x1)))))))))))))))))) -> 2(2(1(3(0(0(1(3(1(0(2(0(0(3(3(3(1(1(x1))))))))))))))))))
   1(0(3(3(1(0(3(3(3(1(1(3(2(0(0(1(3(1(x1)))))))))))))))))) -> 1(3(3(0(1(3(3(0(1(3(3(0(1(3(2(1(0(1(x1))))))))))))))))))
   1(1(0(0(1(2(1(2(2(0(3(1(2(3(2(0(0(3(x1)))))))))))))))))) -> 1(2(2(0(2(1(0(2(1(0(0(2(3(0(1(1(3(3(x1))))))))))))))))))
   1(1(0(3(1(0(2(3(1(1(0(3(3(0(3(1(1(1(x1)))))))))))))))))) -> 1(1(3(1(3(2(3(0(1(0(3(0(1(3(1(0(1(1(x1))))))))))))))))))
   1(1(0(3(1(0(3(3(3(1(1(2(2(2(2(0(1(2(x1)))))))))))))))))) -> 2(1(1(0(0(1(1(2(3(3(3(0(1(2(3(2(1(2(x1))))))))))))))))))
   1(1(1(1(0(1(3(2(1(1(2(2(0(2(2(3(0(2(x1)))))))))))))))))) -> 1(1(1(2(3(0(2(2(1(1(1(2(3(0(1(2(0(2(x1))))))))))))))))))
   1(1(1(2(1(1(1(2(1(3(1(0(1(2(1(2(3(1(x1)))))))))))))))))) -> 1(1(1(1(1(1(3(0(2(2(1(1(1(2(3(1(2(1(x1))))))))))))))))))
   1(1(1(3(1(3(1(0(3(2(1(3(2(1(0(3(0(3(x1)))))))))))))))))) -> 1(2(2(3(0(1(3(1(1(3(0(0(1(3(1(1(3(3(x1))))))))))))))))))
   1(1(3(2(0(2(3(1(0(1(0(2(3(3(2(2(0(0(x1)))))))))))))))))) -> 2(0(2(3(2(0(2(0(1(2(1(3(0(1(3(0(1(3(x1))))))))))))))))))
   1(1(3(3(2(1(3(3(2(0(1(3(3(3(0(3(2(1(x1)))))))))))))))))) -> 1(3(1(3(0(3(3(3(1(3(3(2(3(1(2(0(2(1(x1))))))))))))))))))
   1(2(0(0(2(1(3(2(2(3(2(2(0(3(2(3(2(2(x1)))))))))))))))))) -> 1(2(0(3(2(2(2(2(3(0(0(2(2(2(3(1(3(2(x1))))))))))))))))))
   1(2(0(1(2(1(0(2(0(0(3(1(0(2(0(3(2(2(x1)))))))))))))))))) -> 1(1(0(0(0(2(1(0(2(0(3(2(2(1(0(2(3(2(x1))))))))))))))))))
   1(2(0(2(0(0(0(3(0(1(0(1(1(0(3(1(0(3(x1)))))))))))))))))) -> 1(3(0(3(1(1(0(1(1(0(0(0(2(2(3(0(0(0(x1))))))))))))))))))
   1(2(1(0(3(1(3(3(2(2(2(2(0(0(3(1(0(1(x1)))))))))))))))))) -> 3(1(2(0(1(3(2(3(2(2(0(0(0(2(3(1(1(1(x1))))))))))))))))))
   1(2(1(2(1(2(0(1(0(1(3(1(0(0(0(1(3(3(x1)))))))))))))))))) -> 1(1(2(2(1(0(1(3(0(1(1(3(0(2(1(3(0(0(x1))))))))))))))))))
   1(2(1(3(2(3(3(1(1(1(0(1(0(0(3(2(0(3(x1)))))))))))))))))) -> 1(3(3(2(3(0(2(1(3(1(1(3(1(2(1(0(0(0(x1))))))))))))))))))
   1(2(3(0(3(2(0(2(0(2(0(3(2(0(2(2(0(0(x1)))))))))))))))))) -> 1(2(2(2(0(3(3(0(0(2(0(0(0(2(2(2(3(0(x1))))))))))))))))))
   1(2(3(1(1(0(0(3(3(0(2(1(3(3(0(3(2(3(x1)))))))))))))))))) -> 3(1(3(0(2(3(3(1(3(0(2(1(2(0(0(1(3(3(x1))))))))))))))))))
   1(2(3(3(1(2(2(2(1(0(1(2(0(1(3(2(0(1(x1)))))))))))))))))) -> 3(3(0(0(2(0(2(2(1(1(1(3(1(2(2(1(2(1(x1))))))))))))))))))
   1(2(3(3(2(1(0(3(2(2(1(0(3(1(0(0(0(0(x1)))))))))))))))))) -> 0(3(0(1(2(1(3(0(1(0(2(1(2(3(3(0(2(0(x1))))))))))))))))))
   1(3(1(1(0(1(2(1(1(1(0(3(1(1(0(2(3(1(x1)))))))))))))))))) -> 1(1(3(2(1(3(1(1(0(0(1(3(2(1(0(1(1(1(x1))))))))))))))))))
   1(3(1(3(2(0(1(3(1(1(3(2(3(3(3(3(0(1(x1)))))))))))))))))) -> 1(3(3(3(1(2(3(1(3(0(2(1(1(3(0(3(3(1(x1))))))))))))))))))
   1(3(2(2(1(0(1(2(1(0(3(1(0(3(2(3(0(3(x1)))))))))))))))))) -> 3(1(3(2(1(1(0(0(2(0(0(3(1(3(2(2(1(3(x1))))))))))))))))))
   1(3(3(0(0(3(3(1(0(0(2(3(3(1(3(2(3(1(x1)))))))))))))))))) -> 1(3(0(0(1(3(0(1(3(3(2(2(3(3(3(3(0(1(x1))))))))))))))))))
   1(3(3(0(1(1(3(2(2(1(1(0(3(1(2(1(0(0(x1)))))))))))))))))) -> 1(3(1(1(0(0(1(1(2(1(3(0(2(3(1(0(2(3(x1))))))))))))))))))
   1(3(3(2(2(1(0(3(2(1(1(1(2(3(1(0(1(0(x1)))))))))))))))))) -> 2(0(1(2(1(2(1(3(1(1(3(0(3(2(1(3(0(1(x1))))))))))))))))))
   2(0(0(3(1(2(3(2(0(2(3(0(1(2(2(0(0(2(x1)))))))))))))))))) -> 2(0(2(3(1(3(0(0(3(2(0(1(0(2(0(2(2(2(x1))))))))))))))))))
   2(0(1(0(2(2(2(2(0(3(2(3(1(2(3(0(3(2(x1)))))))))))))))))) -> 2(0(2(0(2(2(3(0(3(3(1(3(0(1(2(2(2(2(x1))))))))))))))))))
   2(0(1(3(3(3(3(3(1(1(3(2(0(1(0(0(1(0(x1)))))))))))))))))) -> 1(3(0(2(1(1(3(0(2(3(0(0(3(1(3(3(1(0(x1))))))))))))))))))
   2(0(3(0(3(2(3(2(1(0(1(2(2(0(0(0(1(2(x1)))))))))))))))))) -> 0(2(2(1(2(0(1(2(0(3(0(0(2(1(3(0(3(2(x1))))))))))))))))))
   2(1(0(1(1(3(3(0(1(0(1(2(3(3(0(3(2(2(x1)))))))))))))))))) -> 0(3(3(1(3(3(0(2(1(1(3(1(0(2(1(2(0(2(x1))))))))))))))))))
   2(1(1(1(0(2(2(2(1(0(2(0(0(2(2(2(2(1(x1)))))))))))))))))) -> 2(2(2(2(1(1(2(0(1(0(0(0(2(1(2(2(2(1(x1))))))))))))))))))
   2(1(2(2(2(0(2(1(2(3(0(0(3(1(2(2(1(3(x1)))))))))))))))))) -> 0(2(0(2(1(3(2(2(1(3(2(2(1(3(0(2(1(2(x1))))))))))))))))))
   2(1(2(2(2(1(3(2(0(0(2(3(2(3(3(3(0(3(x1)))))))))))))))))) -> 2(3(3(1(3(2(0(3(2(1(3(0(2(2(2(2(3(0(x1))))))))))))))))))
   2(1(2(2(3(2(3(0(1(3(2(1(1(3(3(2(2(2(x1)))))))))))))))))) -> 2(1(1(1(3(2(3(2(2(3(0(2(3(2(1(3(2(2(x1))))))))))))))))))
   2(1(2(3(3(3(0(2(0(0(2(2(1(0(2(0(2(0(x1)))))))))))))))))) -> 0(3(0(2(2(2(1(3(0(0(1(3(0(0(2(2(2(2(x1))))))))))))))))))
   2(1(3(3(3(1(2(1(2(1(0(0(3(1(3(2(0(0(x1)))))))))))))))))) -> 2(1(3(0(1(3(1(0(2(2(0(0(1(3(1(3(2(3(x1))))))))))))))))))
   2(2(0(0(2(1(1(2(1(2(0(1(2(2(2(2(2(2(x1)))))))))))))))))) -> 2(2(2(2(1(1(0(2(1(1(2(2(0(2(0(2(2(2(x1))))))))))))))))))
   2(2(0(3(1(2(0(3(1(2(1(3(0(1(0(3(0(0(x1)))))))))))))))))) -> 2(3(2(2(1(3(0(3(0(1(3(0(0(0(1(1(2(0(x1))))))))))))))))))
   2(2(1(0(1(2(0(0(3(0(2(1(1(2(1(2(1(2(x1)))))))))))))))))) -> 2(2(1(0(3(2(1(1(1(0(0(2(0(1(2(2(1(2(x1))))))))))))))))))
   2(2(1(1(2(3(1(2(1(3(1(0(2(2(0(3(1(1(x1)))))))))))))))))) -> 2(2(1(2(3(1(1(3(1(2(2(1(0(0(2(1(3(1(x1))))))))))))))))))
   2(2(1(1(3(1(0(0(1(2(3(2(3(1(0(1(1(0(x1)))))))))))))))))) -> 0(1(2(2(3(1(0(2(1(3(2(1(1(3(0(1(1(0(x1))))))))))))))))))
   2(2(1(2(3(2(0(2(0(3(1(0(1(1(0(1(3(3(x1)))))))))))))))))) -> 2(2(0(1(2(0(1(2(3(1(0(2(0(1(3(1(3(3(x1))))))))))))))))))
   2(2(2(2(1(1(0(1(1(2(2(0(0(1(2(2(1(1(x1)))))))))))))))))) -> 0(2(1(2(0(2(0(2(2(1(2(2(2(1(1(1(1(1(x1))))))))))))))))))
   2(2(3(1(2(3(0(3(1(1(1(0(1(1(0(1(3(1(x1)))))))))))))))))) -> 2(3(1(1(2(0(1(3(1(1(0(1(1(3(1(3(0(2(x1))))))))))))))))))
   2(2(3(3(1(3(1(1(0(1(2(2(0(3(2(0(3(3(x1)))))))))))))))))) -> 2(2(3(1(3(2(1(3(3(1(0(0(2(3(3(1(0(2(x1))))))))))))))))))
   2(3(0(2(0(3(2(0(2(3(2(1(2(2(2(3(0(3(x1)))))))))))))))))) -> 2(3(2(3(3(0(0(2(2(2(1(3(2(0(2(3(2(0(x1))))))))))))))))))
   2(3(1(0(1(0(1(2(1(0(3(1(0(3(1(2(2(3(x1)))))))))))))))))) -> 2(1(2(1(1(0(1(0(2(3(0(0(3(3(3(1(1(2(x1))))))))))))))))))
   2(3(1(0(2(3(1(0(0(1(0(1(0(1(2(2(1(0(x1)))))))))))))))))) -> 2(0(3(1(0(1(0(1(2(0(2(2(1(3(0(0(1(1(x1))))))))))))))))))
   2(3(1(1(0(3(1(2(1(0(1(3(2(0(1(2(1(1(x1)))))))))))))))))) -> 2(3(2(0(1(1(1(3(2(1(1(3(0(0(1(1(2(1(x1))))))))))))))))))
   2(3(2(1(0(0(0(2(3(2(3(0(3(0(2(1(1(2(x1)))))))))))))))))) -> 2(2(3(0(3(0(2(1(0(2(2(0(1(3(1(3(0(2(x1))))))))))))))))))
   2(3(2(2(2(3(0(3(1(0(3(2(1(1(2(0(2(3(x1)))))))))))))))))) -> 2(2(1(1(0(1(2(3(3(0(3(3(2(2(2(0(2(3(x1))))))))))))))))))
   2(3(3(2(3(1(0(1(1(1(3(1(0(1(0(3(2(0(x1)))))))))))))))))) -> 2(1(0(0(1(2(3(1(1(3(3(3(1(1(3(2(0(0(x1))))))))))))))))))
   3(0(1(0(1(2(3(3(1(2(3(2(1(1(1(3(3(0(x1)))))))))))))))))) -> 3(0(1(2(1(3(3(1(3(0(1(3(1(2(0(1(3(2(x1))))))))))))))))))
   3(0(3(1(0(1(0(3(3(1(0(3(2(3(3(2(0(3(x1)))))))))))))))))) -> 1(3(0(2(0(0(3(3(2(1(3(0(3(3(1(3(3(0(x1))))))))))))))))))
   3(1(0(0(3(0(3(2(3(2(3(0(1(0(1(1(2(3(x1)))))))))))))))))) -> 3(0(1(3(2(3(3(1(1(0(2(0(0(3(1(3(0(2(x1))))))))))))))))))
   3(1(1(0(3(0(1(1(3(2(1(2(3(3(1(3(3(1(x1)))))))))))))))))) -> 3(1(3(2(1(1(1(3(3(0(3(2(1(3(0(1(3(1(x1))))))))))))))))))
   3(1(2(0(3(2(2(3(2(0(3(3(2(3(3(1(1(3(x1)))))))))))))))))) -> 3(2(2(3(1(3(3(2(1(3(3(0(2(0(2(3(1(3(x1))))))))))))))))))
   3(1(2(3(2(0(2(3(1(1(1(3(3(2(0(0(0(3(x1)))))))))))))))))) -> 3(1(3(2(1(3(0(2(1(0(0(2(3(1(2(3(3(0(x1))))))))))))))))))
   3(2(0(1(2(1(0(3(3(3(3(1(2(1(1(0(1(0(x1)))))))))))))))))) -> 3(0(0(2(1(3(2(3(3(1(1(3(1(1(0(2(0(1(x1))))))))))))))))))
   3(2(3(2(2(0(3(3(2(0(1(0(0(2(0(1(1(1(x1)))))))))))))))))) -> 3(0(1(3(2(0(3(0(1(2(3(0(2(0(2(2(1(1(x1))))))))))))))))))
   3(3(0(1(0(3(2(0(1(1(1(1(3(1(2(3(3(3(x1)))))))))))))))))) -> 3(2(3(1(1(1(0(3(3(0(2(1(3(0(1(3(1(3(x1))))))))))))))))))
   3(3(1(0(3(2(3(0(3(1(0(2(0(3(0(2(2(0(x1)))))))))))))))))) -> 3(3(3(2(0(3(0(3(0(1(0(0(1(3(0(2(2(2(x1))))))))))))))))))
   3(3(1(2(2(2(3(3(3(1(3(0(1(1(1(2(1(0(x1)))))))))))))))))) -> 3(3(3(1(2(3(1(3(0(2(2(1(3(0(2(1(1(1(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_2(x_1) -> 2(encArg(x_1))
   encode_1(x_1) -> 1(encArg(x_1))
   encode_3(x_1) -> 3(encArg(x_1))

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

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

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


The TRS R consists of the following rules:

   2(c_2(c_2(c_2(c_1(c_1(c_0(c_1(c_1(c_2(c_2(c_0(c_0(c_1(c_2(c_2(c_1(c_1(x1)))))))))))))))))) -> 0(2(1(2(0(2(0(2(2(1(2(2(2(1(1(1(1(1(x1))))))))))))))))))
   1(c_0(c_1(c_0(c_2(c_0(c_2(c_3(c_1(c_1(c_2(c_2(c_0(c_0(c_3(c_0(c_3(c_2(x1)))))))))))))))))) -> 0(0(0(1(1(3(1(3(2(0(0(2(2(1(3(0(2(2(x1))))))))))))))))))
   0(c_2(c_3(c_0(c_1(c_2(c_3(c_2(c_0(c_3(c_1(c_0(c_0(c_0(c_3(c_3(c_0(c_3(x1)))))))))))))))))) -> 0(2(1(3(0(0(3(3(0(1(0(2(2(3(3(0(0(3(x1))))))))))))))))))
   1(c_2(c_0(c_0(c_2(c_1(c_3(c_2(c_2(c_3(c_2(c_2(c_0(c_3(c_2(c_3(c_2(c_2(x1)))))))))))))))))) -> 1(2(0(3(2(2(2(2(3(0(0(2(2(2(3(1(3(2(x1))))))))))))))))))
   1(c_0(c_2(c_3(c_3(c_3(c_1(c_0(c_2(c_0(c_1(c_2(c_2(c_3(c_2(c_1(c_0(c_1(x1)))))))))))))))))) -> 2(3(2(1(0(1(3(1(3(0(2(3(0(2(0(1(2(1(x1))))))))))))))))))
   2(c_0(c_1(c_3(c_3(c_3(c_3(c_3(c_1(c_1(c_3(c_2(c_0(c_1(c_0(c_0(c_1(c_0(x1)))))))))))))))))) -> 1(3(0(2(1(1(3(0(2(3(0(0(3(1(3(3(1(0(x1))))))))))))))))))
   2(c_3(c_2(c_1(c_0(c_0(c_0(c_2(c_3(c_2(c_3(c_0(c_3(c_0(c_2(c_1(c_1(c_2(x1)))))))))))))))))) -> 2(2(3(0(3(0(2(1(0(2(2(0(1(3(1(3(0(2(x1))))))))))))))))))
   2(c_1(c_2(c_2(c_3(c_2(c_3(c_0(c_1(c_3(c_2(c_1(c_1(c_3(c_3(c_2(c_2(c_2(x1)))))))))))))))))) -> 2(1(1(1(3(2(3(2(2(3(0(2(3(2(1(3(2(2(x1))))))))))))))))))
   2(c_1(c_2(c_2(c_2(c_0(c_2(c_1(c_2(c_3(c_0(c_0(c_3(c_1(c_2(c_2(c_1(c_3(x1)))))))))))))))))) -> 0(2(0(2(1(3(2(2(1(3(2(2(1(3(0(2(1(2(x1))))))))))))))))))
   1(c_1(c_1(c_2(c_1(c_1(c_1(c_2(c_1(c_3(c_1(c_0(c_1(c_2(c_1(c_2(c_3(c_1(x1)))))))))))))))))) -> 1(1(1(1(1(1(3(0(2(2(1(1(1(2(3(1(2(1(x1))))))))))))))))))
   2(c_0(c_3(c_0(c_3(c_2(c_3(c_2(c_1(c_0(c_1(c_2(c_2(c_0(c_0(c_0(c_1(c_2(x1)))))))))))))))))) -> 0(2(2(1(2(0(1(2(0(3(0(0(2(1(3(0(3(2(x1))))))))))))))))))
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   0(c_3(c_0(c_1(c_0(c_3(c_0(c_1(c_1(c_1(c_2(c_0(c_0(c_0(c_3(c_2(c_1(c_0(x1)))))))))))))))))) -> 0(0(2(2(1(3(0(0(1(3(0(1(0(1(0(0(1(3(x1))))))))))))))))))
   2(c_2(c_0(c_0(c_2(c_1(c_1(c_2(c_1(c_2(c_0(c_1(c_2(c_2(c_2(c_2(c_2(c_2(x1)))))))))))))))))) -> 2(2(2(2(1(1(0(2(1(1(2(2(0(2(0(2(2(2(x1))))))))))))))))))
   2(c_2(c_1(c_1(c_3(c_1(c_0(c_0(c_1(c_2(c_3(c_2(c_3(c_1(c_0(c_1(c_1(c_0(x1)))))))))))))))))) -> 0(1(2(2(3(1(0(2(1(3(2(1(1(3(0(1(1(0(x1))))))))))))))))))
   2(c_3(c_1(c_0(c_2(c_3(c_1(c_0(c_0(c_1(c_0(c_1(c_0(c_1(c_2(c_2(c_1(c_0(x1)))))))))))))))))) -> 2(0(3(1(0(1(0(1(2(0(2(2(1(3(0(0(1(1(x1))))))))))))))))))
   1(c_2(c_3(c_1(c_1(c_0(c_0(c_3(c_3(c_0(c_2(c_1(c_3(c_3(c_0(c_3(c_2(c_3(x1)))))))))))))))))) -> 3(1(3(0(2(3(3(1(3(0(2(1(2(0(0(1(3(3(x1))))))))))))))))))
   2(c_0(c_0(c_3(c_1(c_2(c_3(c_2(c_0(c_2(c_3(c_0(c_1(c_2(c_2(c_0(c_0(c_2(x1)))))))))))))))))) -> 2(0(2(3(1(3(0(0(3(2(0(1(0(2(0(2(2(2(x1))))))))))))))))))
   2(c_2(c_1(c_1(c_2(c_3(c_1(c_2(c_1(c_3(c_1(c_0(c_2(c_2(c_0(c_3(c_1(c_1(x1)))))))))))))))))) -> 2(2(1(2(3(1(1(3(1(2(2(1(0(0(2(1(3(1(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_2(x_1) -> 2(encArg(x_1))
   encode_1(x_1) -> 1(encArg(x_1))
   encode_3(x_1) -> 3(encArg(x_1))
   0(x0) -> c_0(x0)
   1(x0) -> c_1(x0)
   2(x0) -> c_2(x0)
   3(x0) -> c_3(x0)

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

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

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

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


The TRS R consists of the following rules:

   2(c_2(c_2(c_2(c_1(c_1(c_0(c_1(c_1(c_2(c_2(c_0(c_0(c_1(c_2(c_2(c_1(c_1(x1)))))))))))))))))) -> 0(2(1(2(0(2(0(2(2(1(2(2(2(1(1(1(1(1(x1))))))))))))))))))
   1(c_0(c_1(c_0(c_2(c_0(c_2(c_3(c_1(c_1(c_2(c_2(c_0(c_0(c_3(c_0(c_3(c_2(x1)))))))))))))))))) -> 0(0(0(1(1(3(1(3(2(0(0(2(2(1(3(0(2(2(x1))))))))))))))))))
   0(c_2(c_3(c_0(c_1(c_2(c_3(c_2(c_0(c_3(c_1(c_0(c_0(c_0(c_3(c_3(c_0(c_3(x1)))))))))))))))))) -> 0(2(1(3(0(0(3(3(0(1(0(2(2(3(3(0(0(3(x1))))))))))))))))))
   1(c_2(c_0(c_0(c_2(c_1(c_3(c_2(c_2(c_3(c_2(c_2(c_0(c_3(c_2(c_3(c_2(c_2(x1)))))))))))))))))) -> 1(2(0(3(2(2(2(2(3(0(0(2(2(2(3(1(3(2(x1))))))))))))))))))
   1(c_0(c_2(c_3(c_3(c_3(c_1(c_0(c_2(c_0(c_1(c_2(c_2(c_3(c_2(c_1(c_0(c_1(x1)))))))))))))))))) -> 2(3(2(1(0(1(3(1(3(0(2(3(0(2(0(1(2(1(x1))))))))))))))))))
   2(c_0(c_1(c_3(c_3(c_3(c_3(c_3(c_1(c_1(c_3(c_2(c_0(c_1(c_0(c_0(c_1(c_0(x1)))))))))))))))))) -> 1(3(0(2(1(1(3(0(2(3(0(0(3(1(3(3(1(0(x1))))))))))))))))))
   2(c_3(c_2(c_1(c_0(c_0(c_0(c_2(c_3(c_2(c_3(c_0(c_3(c_0(c_2(c_1(c_1(c_2(x1)))))))))))))))))) -> 2(2(3(0(3(0(2(1(0(2(2(0(1(3(1(3(0(2(x1))))))))))))))))))
   2(c_1(c_2(c_2(c_3(c_2(c_3(c_0(c_1(c_3(c_2(c_1(c_1(c_3(c_3(c_2(c_2(c_2(x1)))))))))))))))))) -> 2(1(1(1(3(2(3(2(2(3(0(2(3(2(1(3(2(2(x1))))))))))))))))))
   2(c_1(c_2(c_2(c_2(c_0(c_2(c_1(c_2(c_3(c_0(c_0(c_3(c_1(c_2(c_2(c_1(c_3(x1)))))))))))))))))) -> 0(2(0(2(1(3(2(2(1(3(2(2(1(3(0(2(1(2(x1))))))))))))))))))
   1(c_1(c_1(c_2(c_1(c_1(c_1(c_2(c_1(c_3(c_1(c_0(c_1(c_2(c_1(c_2(c_3(c_1(x1)))))))))))))))))) -> 1(1(1(1(1(1(3(0(2(2(1(1(1(2(3(1(2(1(x1))))))))))))))))))
   2(c_0(c_3(c_0(c_3(c_2(c_3(c_2(c_1(c_0(c_1(c_2(c_2(c_0(c_0(c_0(c_1(c_2(x1)))))))))))))))))) -> 0(2(2(1(2(0(1(2(0(3(0(0(2(1(3(0(3(2(x1))))))))))))))))))
   2(c_3(c_0(c_2(c_0(c_3(c_2(c_0(c_2(c_3(c_2(c_1(c_2(c_2(c_2(c_3(c_0(c_3(x1)))))))))))))))))) -> 2(3(2(3(3(0(0(2(2(2(1(3(2(0(2(3(2(0(x1))))))))))))))))))
   2(c_3(c_1(c_0(c_1(c_0(c_1(c_2(c_1(c_0(c_3(c_1(c_0(c_3(c_1(c_2(c_2(c_3(x1)))))))))))))))))) -> 2(1(2(1(1(0(1(0(2(3(0(0(3(3(3(1(1(2(x1))))))))))))))))))
   2(c_1(c_0(c_1(c_1(c_3(c_3(c_0(c_1(c_0(c_1(c_2(c_3(c_3(c_0(c_3(c_2(c_2(x1)))))))))))))))))) -> 0(3(3(1(3(3(0(2(1(1(3(1(0(2(1(2(0(2(x1))))))))))))))))))
   2(c_3(c_1(c_1(c_0(c_3(c_1(c_2(c_1(c_0(c_1(c_3(c_2(c_0(c_1(c_2(c_1(c_1(x1)))))))))))))))))) -> 2(3(2(0(1(1(1(3(2(1(1(3(0(0(1(1(2(1(x1))))))))))))))))))
   1(c_1(c_0(c_3(c_1(c_0(c_2(c_3(c_1(c_1(c_0(c_3(c_3(c_0(c_3(c_1(c_1(c_1(x1)))))))))))))))))) -> 1(1(3(1(3(2(3(0(1(0(3(0(1(3(1(0(1(1(x1))))))))))))))))))
   0(c_1(c_0(c_2(c_1(c_1(c_0(c_0(c_1(c_0(c_3(c_1(c_1(c_0(c_2(c_1(c_2(c_3(x1)))))))))))))))))) -> 0(1(2(0(0(2(1(1(0(1(1(1(0(1(3(0(2(3(x1))))))))))))))))))
   2(c_1(c_2(c_2(c_2(c_1(c_3(c_2(c_0(c_0(c_2(c_3(c_2(c_3(c_3(c_3(c_0(c_3(x1)))))))))))))))))) -> 2(3(3(1(3(2(0(3(2(1(3(0(2(2(2(2(3(0(x1))))))))))))))))))
   2(c_2(c_1(c_2(c_3(c_2(c_0(c_2(c_0(c_3(c_1(c_0(c_1(c_1(c_0(c_1(c_3(c_3(x1)))))))))))))))))) -> 2(2(0(1(2(0(1(2(3(1(0(2(0(1(3(1(3(3(x1))))))))))))))))))
   3(c_1(c_0(c_0(c_3(c_0(c_3(c_2(c_3(c_2(c_3(c_0(c_1(c_0(c_1(c_1(c_2(c_3(x1)))))))))))))))))) -> 3(0(1(3(2(3(3(1(1(0(2(0(0(3(1(3(0(2(x1))))))))))))))))))
   1(c_3(c_2(c_2(c_1(c_0(c_1(c_2(c_1(c_0(c_3(c_1(c_0(c_3(c_2(c_3(c_0(c_3(x1)))))))))))))))))) -> 3(1(3(2(1(1(0(0(2(0(0(3(1(3(2(2(1(3(x1))))))))))))))))))
   1(c_2(c_1(c_2(c_1(c_2(c_0(c_1(c_0(c_1(c_3(c_1(c_0(c_0(c_0(c_1(c_3(c_3(x1)))))))))))))))))) -> 1(1(2(2(1(0(1(3(0(1(1(3(0(2(1(3(0(0(x1))))))))))))))))))
   1(c_2(c_0(c_1(c_2(c_1(c_0(c_2(c_0(c_0(c_3(c_1(c_0(c_2(c_0(c_3(c_2(c_2(x1)))))))))))))))))) -> 1(1(0(0(0(2(1(0(2(0(3(2(2(1(0(2(3(2(x1))))))))))))))))))
   2(c_1(c_1(c_1(c_0(c_2(c_2(c_2(c_1(c_0(c_2(c_0(c_0(c_2(c_2(c_2(c_2(c_1(x1)))))))))))))))))) -> 2(2(2(2(1(1(2(0(1(0(0(0(2(1(2(2(2(1(x1))))))))))))))))))
   3(c_0(c_3(c_1(c_0(c_1(c_0(c_3(c_3(c_1(c_0(c_3(c_2(c_3(c_3(c_2(c_0(c_3(x1)))))))))))))))))) -> 1(3(0(2(0(0(3(3(2(1(3(0(3(3(1(3(3(0(x1))))))))))))))))))
   0(c_1(c_0(c_3(c_2(c_0(c_0(c_0(c_3(c_3(c_0(c_2(c_2(c_2(c_2(c_1(c_1(c_1(x1)))))))))))))))))) -> 0(0(1(1(3(0(3(0(0(2(2(2(0(2(2(1(3(1(x1))))))))))))))))))
   1(c_3(c_1(c_1(c_0(c_1(c_2(c_1(c_1(c_1(c_0(c_3(c_1(c_1(c_0(c_2(c_3(c_1(x1)))))))))))))))))) -> 1(1(3(2(1(3(1(1(0(0(1(3(2(1(0(1(1(1(x1))))))))))))))))))
   1(c_3(c_1(c_3(c_2(c_0(c_1(c_3(c_1(c_1(c_3(c_2(c_3(c_3(c_3(c_3(c_0(c_1(x1)))))))))))))))))) -> 1(3(3(3(1(2(3(1(3(0(2(1(1(3(0(3(3(1(x1))))))))))))))))))
   0(c_0(c_3(c_1(c_0(c_2(c_2(c_0(c_2(c_3(c_1(c_1(c_0(c_1(c_2(c_2(c_0(c_1(x1)))))))))))))))))) -> 0(2(1(1(3(0(0(0(1(0(2(3(1(2(2(0(2(1(x1))))))))))))))))))
   1(c_0(c_0(c_0(c_1(c_2(c_3(c_3(c_2(c_2(c_1(c_0(c_2(c_3(c_3(c_2(c_0(c_3(x1)))))))))))))))))) -> 3(0(2(1(1(3(3(1(0(0(2(0(2(2(3(2(0(3(x1))))))))))))))))))
   1(c_1(c_0(c_0(c_1(c_2(c_1(c_2(c_2(c_0(c_3(c_1(c_2(c_3(c_2(c_0(c_0(c_3(x1)))))))))))))))))) -> 1(2(2(0(2(1(0(2(1(0(0(2(3(0(1(1(3(3(x1))))))))))))))))))
   1(c_2(c_0(c_2(c_0(c_0(c_0(c_3(c_0(c_1(c_0(c_1(c_1(c_0(c_3(c_1(c_0(c_3(x1)))))))))))))))))) -> 1(3(0(3(1(1(0(1(1(0(0(0(2(2(3(0(0(0(x1))))))))))))))))))
   0(c_3(c_2(c_0(c_3(c_1(c_0(c_1(c_0(c_3(c_0(c_3(c_0(c_0(c_3(c_0(c_0(c_0(x1)))))))))))))))))) -> 0(3(0(0(0(0(1(2(0(3(3(0(0(3(0(1(3(0(x1))))))))))))))))))
   2(c_3(c_2(c_2(c_2(c_3(c_0(c_3(c_1(c_0(c_3(c_2(c_1(c_1(c_2(c_0(c_2(c_3(x1)))))))))))))))))) -> 2(2(1(1(0(1(2(3(3(0(3(3(2(2(2(0(2(3(x1))))))))))))))))))
   1(c_1(c_0(c_3(c_1(c_0(c_3(c_3(c_3(c_1(c_1(c_2(c_2(c_2(c_2(c_0(c_1(c_2(x1)))))))))))))))))) -> 2(1(1(0(0(1(1(2(3(3(3(0(1(2(3(2(1(2(x1))))))))))))))))))
   2(c_2(c_3(c_1(c_2(c_3(c_0(c_3(c_1(c_1(c_1(c_0(c_1(c_1(c_0(c_1(c_3(c_1(x1)))))))))))))))))) -> 2(3(1(1(2(0(1(3(1(1(0(1(1(3(1(3(0(2(x1))))))))))))))))))
   3(c_0(c_1(c_0(c_1(c_2(c_3(c_3(c_1(c_2(c_3(c_2(c_1(c_1(c_1(c_3(c_3(c_0(x1)))))))))))))))))) -> 3(0(1(2(1(3(3(1(3(0(1(3(1(2(0(1(3(2(x1))))))))))))))))))
   1(c_3(c_3(c_0(c_0(c_3(c_3(c_1(c_0(c_0(c_2(c_3(c_3(c_1(c_3(c_2(c_3(c_1(x1)))))))))))))))))) -> 1(3(0(0(1(3(0(1(3(3(2(2(3(3(3(3(0(1(x1))))))))))))))))))
   1(c_2(c_3(c_3(c_2(c_1(c_0(c_3(c_2(c_2(c_1(c_0(c_3(c_1(c_0(c_0(c_0(c_0(x1)))))))))))))))))) -> 0(3(0(1(2(1(3(0(1(0(2(1(2(3(3(0(2(0(x1))))))))))))))))))
   2(c_2(c_0(c_3(c_1(c_2(c_0(c_3(c_1(c_2(c_1(c_3(c_0(c_1(c_0(c_3(c_0(c_0(x1)))))))))))))))))) -> 2(3(2(2(1(3(0(3(0(1(3(0(0(0(1(1(2(0(x1))))))))))))))))))
   3(c_1(c_2(c_3(c_2(c_0(c_2(c_3(c_1(c_1(c_1(c_3(c_3(c_2(c_0(c_0(c_0(c_3(x1)))))))))))))))))) -> 3(1(3(2(1(3(0(2(1(0(0(2(3(1(2(3(3(0(x1))))))))))))))))))
   1(c_0(c_3(c_0(c_3(c_1(c_0(c_3(c_3(c_1(c_2(c_1(c_3(c_2(c_0(c_2(c_1(c_0(x1)))))))))))))))))) -> 2(2(1(3(0(0(1(3(1(0(2(0(0(3(3(3(1(1(x1))))))))))))))))))
   3(c_2(c_3(c_2(c_2(c_0(c_3(c_3(c_2(c_0(c_1(c_0(c_0(c_2(c_0(c_1(c_1(c_1(x1)))))))))))))))))) -> 3(0(1(3(2(0(3(0(1(2(3(0(2(0(2(2(1(1(x1))))))))))))))))))
   0(c_1(c_2(c_3(c_2(c_1(c_0(c_1(c_2(c_2(c_0(c_0(c_1(c_0(c_3(c_1(c_0(c_1(x1)))))))))))))))))) -> 0(2(1(1(1(0(2(2(0(0(1(1(0(3(0(1(3(2(x1))))))))))))))))))
   1(c_2(c_3(c_0(c_3(c_2(c_0(c_2(c_0(c_2(c_0(c_3(c_2(c_0(c_2(c_2(c_0(c_0(x1)))))))))))))))))) -> 1(2(2(2(0(3(3(0(0(2(0(0(0(2(2(2(3(0(x1))))))))))))))))))
   0(c_2(c_1(c_0(c_3(c_0(c_3(c_0(c_3(c_2(c_0(c_1(c_0(c_1(c_2(c_2(c_1(c_1(x1)))))))))))))))))) -> 0(2(3(0(3(2(2(1(2(1(1(0(0(3(0(0(1(1(x1))))))))))))))))))
   2(c_2(c_3(c_3(c_1(c_3(c_1(c_1(c_0(c_1(c_2(c_2(c_0(c_3(c_2(c_0(c_3(c_3(x1)))))))))))))))))) -> 2(2(3(1(3(2(1(3(3(1(0(0(2(3(3(1(0(2(x1))))))))))))))))))
   1(c_1(c_3(c_2(c_0(c_2(c_3(c_1(c_0(c_1(c_0(c_2(c_3(c_3(c_2(c_2(c_0(c_0(x1)))))))))))))))))) -> 2(0(2(3(2(0(2(0(1(2(1(3(0(1(3(0(1(3(x1))))))))))))))))))
   1(c_0(c_3(c_3(c_1(c_0(c_3(c_3(c_3(c_1(c_1(c_3(c_2(c_0(c_0(c_1(c_3(c_1(x1)))))))))))))))))) -> 1(3(3(0(1(3(3(0(1(3(3(0(1(3(2(1(0(1(x1))))))))))))))))))
   3(c_3(c_1(c_2(c_2(c_2(c_3(c_3(c_3(c_1(c_3(c_0(c_1(c_1(c_1(c_2(c_1(c_0(x1)))))))))))))))))) -> 3(3(3(1(2(3(1(3(0(2(2(1(3(0(2(1(1(1(x1))))))))))))))))))
   0(c_0(c_2(c_2(c_1(c_3(c_2(c_2(c_2(c_1(c_0(c_2(c_2(c_0(c_2(c_2(c_0(c_0(x1)))))))))))))))))) -> 0(2(2(2(2(1(3(0(0(2(1(0(2(2(2(2(0(0(x1))))))))))))))))))
   1(c_2(c_1(c_3(c_2(c_3(c_3(c_1(c_1(c_1(c_0(c_1(c_0(c_0(c_3(c_2(c_0(c_3(x1)))))))))))))))))) -> 1(3(3(2(3(0(2(1(3(1(1(3(1(2(1(0(0(0(x1))))))))))))))))))
   3(c_1(c_1(c_0(c_3(c_0(c_1(c_1(c_3(c_2(c_1(c_2(c_3(c_3(c_1(c_3(c_3(c_1(x1)))))))))))))))))) -> 3(1(3(2(1(1(1(3(3(0(3(2(1(3(0(1(3(1(x1))))))))))))))))))
   0(c_3(c_1(c_1(c_2(c_3(c_0(c_3(c_0(c_1(c_0(c_1(c_2(c_2(c_1(c_0(c_2(c_2(x1)))))))))))))))))) -> 0(0(1(3(0(0(2(2(2(3(2(1(1(1(1(0(3(2(x1))))))))))))))))))
   1(c_2(c_1(c_0(c_3(c_1(c_3(c_3(c_2(c_2(c_2(c_2(c_0(c_0(c_3(c_1(c_0(c_1(x1)))))))))))))))))) -> 3(1(2(0(1(3(2(3(2(2(0(0(0(2(3(1(1(1(x1))))))))))))))))))
   1(c_2(c_3(c_3(c_1(c_2(c_2(c_2(c_1(c_0(c_1(c_2(c_0(c_1(c_3(c_2(c_0(c_1(x1)))))))))))))))))) -> 3(3(0(0(2(0(2(2(1(1(1(3(1(2(2(1(2(1(x1))))))))))))))))))
   1(c_0(c_1(c_3(c_2(c_2(c_3(c_2(c_0(c_0(c_1(c_0(c_3(c_2(c_3(c_2(c_3(c_3(x1)))))))))))))))))) -> 1(3(3(1(2(2(0(3(0(0(1(3(0(2(2(3(2(3(x1))))))))))))))))))
   3(c_3(c_0(c_1(c_0(c_3(c_2(c_0(c_1(c_1(c_1(c_1(c_3(c_1(c_2(c_3(c_3(c_3(x1)))))))))))))))))) -> 3(2(3(1(1(1(0(3(3(0(2(1(3(0(1(3(1(3(x1))))))))))))))))))
   2(c_1(c_3(c_3(c_3(c_1(c_2(c_1(c_2(c_1(c_0(c_0(c_3(c_1(c_3(c_2(c_0(c_0(x1)))))))))))))))))) -> 2(1(3(0(1(3(1(0(2(2(0(0(1(3(1(3(2(3(x1))))))))))))))))))
   3(c_3(c_1(c_0(c_3(c_2(c_3(c_0(c_3(c_1(c_0(c_2(c_0(c_3(c_0(c_2(c_2(c_0(x1)))))))))))))))))) -> 3(3(3(2(0(3(0(3(0(1(0(0(1(3(0(2(2(2(x1))))))))))))))))))
   1(c_1(c_1(c_3(c_1(c_3(c_1(c_0(c_3(c_2(c_1(c_3(c_2(c_1(c_0(c_3(c_0(c_3(x1)))))))))))))))))) -> 1(2(2(3(0(1(3(1(1(3(0(0(1(3(1(1(3(3(x1))))))))))))))))))
   3(c_1(c_2(c_0(c_3(c_2(c_2(c_3(c_2(c_0(c_3(c_3(c_2(c_3(c_3(c_1(c_1(c_3(x1)))))))))))))))))) -> 3(2(2(3(1(3(3(2(1(3(3(0(2(0(2(3(1(3(x1))))))))))))))))))
   0(c_1(c_1(c_1(c_1(c_3(c_1(c_1(c_0(c_1(c_3(c_1(c_0(c_2(c_3(c_3(c_3(c_2(x1)))))))))))))))))) -> 0(2(0(1(3(1(1(3(1(0(1(3(2(1(3(1(1(3(x1))))))))))))))))))
   2(c_2(c_1(c_0(c_1(c_2(c_0(c_0(c_3(c_0(c_2(c_1(c_1(c_2(c_1(c_2(c_1(c_2(x1)))))))))))))))))) -> 2(2(1(0(3(2(1(1(1(0(0(2(0(1(2(2(1(2(x1))))))))))))))))))
   3(c_2(c_0(c_1(c_2(c_1(c_0(c_3(c_3(c_3(c_3(c_1(c_2(c_1(c_1(c_0(c_1(c_0(x1)))))))))))))))))) -> 3(0(0(2(1(3(2(3(3(1(1(3(1(1(0(2(0(1(x1))))))))))))))))))
   1(c_3(c_3(c_0(c_1(c_1(c_3(c_2(c_2(c_1(c_1(c_0(c_3(c_1(c_2(c_1(c_0(c_0(x1)))))))))))))))))) -> 1(3(1(1(0(0(1(1(2(1(3(0(2(3(1(0(2(3(x1))))))))))))))))))
   2(c_3(c_3(c_2(c_3(c_1(c_0(c_1(c_1(c_1(c_3(c_1(c_0(c_1(c_0(c_3(c_2(c_0(x1)))))))))))))))))) -> 2(1(0(0(1(2(3(1(1(3(3(3(1(1(3(2(0(0(x1))))))))))))))))))
   1(c_1(c_1(c_1(c_0(c_1(c_3(c_2(c_1(c_1(c_2(c_2(c_0(c_2(c_2(c_3(c_0(c_2(x1)))))))))))))))))) -> 1(1(1(2(3(0(2(2(1(1(1(2(3(0(1(2(0(2(x1))))))))))))))))))
   1(c_1(c_3(c_3(c_2(c_1(c_3(c_3(c_2(c_0(c_1(c_3(c_3(c_3(c_0(c_3(c_2(c_1(x1)))))))))))))))))) -> 1(3(1(3(0(3(3(3(1(3(3(2(3(1(2(0(2(1(x1))))))))))))))))))
   1(c_0(c_2(c_3(c_1(c_2(c_3(c_1(c_2(c_3(c_2(c_3(c_2(c_1(c_2(c_2(c_2(c_2(x1)))))))))))))))))) -> 2(3(2(2(3(0(2(1(3(2(2(1(1(1(3(2(2(2(x1))))))))))))))))))
   2(c_0(c_1(c_0(c_2(c_2(c_2(c_2(c_0(c_3(c_2(c_3(c_1(c_2(c_3(c_0(c_3(c_2(x1)))))))))))))))))) -> 2(0(2(0(2(2(3(0(3(3(1(3(0(1(2(2(2(2(x1))))))))))))))))))
   1(c_3(c_3(c_2(c_2(c_1(c_0(c_3(c_2(c_1(c_1(c_1(c_2(c_3(c_1(c_0(c_1(c_0(x1)))))))))))))))))) -> 2(0(1(2(1(2(1(3(1(1(3(0(3(2(1(3(0(1(x1))))))))))))))))))
   2(c_1(c_2(c_3(c_3(c_3(c_0(c_2(c_0(c_0(c_2(c_2(c_1(c_0(c_2(c_0(c_2(c_0(x1)))))))))))))))))) -> 0(3(0(2(2(2(1(3(0(0(1(3(0(0(2(2(2(2(x1))))))))))))))))))
   0(c_3(c_0(c_1(c_0(c_3(c_0(c_1(c_1(c_1(c_2(c_0(c_0(c_0(c_3(c_2(c_1(c_0(x1)))))))))))))))))) -> 0(0(2(2(1(3(0(0(1(3(0(1(0(1(0(0(1(3(x1))))))))))))))))))
   2(c_2(c_0(c_0(c_2(c_1(c_1(c_2(c_1(c_2(c_0(c_1(c_2(c_2(c_2(c_2(c_2(c_2(x1)))))))))))))))))) -> 2(2(2(2(1(1(0(2(1(1(2(2(0(2(0(2(2(2(x1))))))))))))))))))
   2(c_2(c_1(c_1(c_3(c_1(c_0(c_0(c_1(c_2(c_3(c_2(c_3(c_1(c_0(c_1(c_1(c_0(x1)))))))))))))))))) -> 0(1(2(2(3(1(0(2(1(3(2(1(1(3(0(1(1(0(x1))))))))))))))))))
   2(c_3(c_1(c_0(c_2(c_3(c_1(c_0(c_0(c_1(c_0(c_1(c_0(c_1(c_2(c_2(c_1(c_0(x1)))))))))))))))))) -> 2(0(3(1(0(1(0(1(2(0(2(2(1(3(0(0(1(1(x1))))))))))))))))))
   1(c_2(c_3(c_1(c_1(c_0(c_0(c_3(c_3(c_0(c_2(c_1(c_3(c_3(c_0(c_3(c_2(c_3(x1)))))))))))))))))) -> 3(1(3(0(2(3(3(1(3(0(2(1(2(0(0(1(3(3(x1))))))))))))))))))
   2(c_0(c_0(c_3(c_1(c_2(c_3(c_2(c_0(c_2(c_3(c_0(c_1(c_2(c_2(c_0(c_0(c_2(x1)))))))))))))))))) -> 2(0(2(3(1(3(0(0(3(2(0(1(0(2(0(2(2(2(x1))))))))))))))))))
   2(c_2(c_1(c_1(c_2(c_3(c_1(c_2(c_1(c_3(c_1(c_0(c_2(c_2(c_0(c_3(c_1(c_1(x1)))))))))))))))))) -> 2(2(1(2(3(1(1(3(1(2(2(1(0(0(2(1(3(1(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_2(x_1) -> 2(encArg(x_1))
   encode_1(x_1) -> 1(encArg(x_1))
   encode_3(x_1) -> 3(encArg(x_1))
   0(x0) -> c_0(x0)
   1(x0) -> c_1(x0)
   2(x0) -> c_2(x0)
   3(x0) -> c_3(x0)

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

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

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


The TRS R consists of the following rules:

   2(c_2(c_2(c_2(c_1(c_1(c_0(c_1(c_1(c_2(c_2(c_0(c_0(c_1(c_2(c_2(c_1(c_1(x1)))))))))))))))))) -> 0(2(1(2(0(2(0(2(2(1(2(2(2(1(1(1(1(1(x1)))))))))))))))))) [1]
   1(c_0(c_1(c_0(c_2(c_0(c_2(c_3(c_1(c_1(c_2(c_2(c_0(c_0(c_3(c_0(c_3(c_2(x1)))))))))))))))))) -> 0(0(0(1(1(3(1(3(2(0(0(2(2(1(3(0(2(2(x1)))))))))))))))))) [1]
   0(c_2(c_3(c_0(c_1(c_2(c_3(c_2(c_0(c_3(c_1(c_0(c_0(c_0(c_3(c_3(c_0(c_3(x1)))))))))))))))))) -> 0(2(1(3(0(0(3(3(0(1(0(2(2(3(3(0(0(3(x1)))))))))))))))))) [1]
   1(c_2(c_0(c_0(c_2(c_1(c_3(c_2(c_2(c_3(c_2(c_2(c_0(c_3(c_2(c_3(c_2(c_2(x1)))))))))))))))))) -> 1(2(0(3(2(2(2(2(3(0(0(2(2(2(3(1(3(2(x1)))))))))))))))))) [1]
   1(c_0(c_2(c_3(c_3(c_3(c_1(c_0(c_2(c_0(c_1(c_2(c_2(c_3(c_2(c_1(c_0(c_1(x1)))))))))))))))))) -> 2(3(2(1(0(1(3(1(3(0(2(3(0(2(0(1(2(1(x1)))))))))))))))))) [1]
   2(c_0(c_1(c_3(c_3(c_3(c_3(c_3(c_1(c_1(c_3(c_2(c_0(c_1(c_0(c_0(c_1(c_0(x1)))))))))))))))))) -> 1(3(0(2(1(1(3(0(2(3(0(0(3(1(3(3(1(0(x1)))))))))))))))))) [1]
   2(c_3(c_2(c_1(c_0(c_0(c_0(c_2(c_3(c_2(c_3(c_0(c_3(c_0(c_2(c_1(c_1(c_2(x1)))))))))))))))))) -> 2(2(3(0(3(0(2(1(0(2(2(0(1(3(1(3(0(2(x1)))))))))))))))))) [1]
   2(c_1(c_2(c_2(c_3(c_2(c_3(c_0(c_1(c_3(c_2(c_1(c_1(c_3(c_3(c_2(c_2(c_2(x1)))))))))))))))))) -> 2(1(1(1(3(2(3(2(2(3(0(2(3(2(1(3(2(2(x1)))))))))))))))))) [1]
   2(c_1(c_2(c_2(c_2(c_0(c_2(c_1(c_2(c_3(c_0(c_0(c_3(c_1(c_2(c_2(c_1(c_3(x1)))))))))))))))))) -> 0(2(0(2(1(3(2(2(1(3(2(2(1(3(0(2(1(2(x1)))))))))))))))))) [1]
   1(c_1(c_1(c_2(c_1(c_1(c_1(c_2(c_1(c_3(c_1(c_0(c_1(c_2(c_1(c_2(c_3(c_1(x1)))))))))))))))))) -> 1(1(1(1(1(1(3(0(2(2(1(1(1(2(3(1(2(1(x1)))))))))))))))))) [1]
   2(c_0(c_3(c_0(c_3(c_2(c_3(c_2(c_1(c_0(c_1(c_2(c_2(c_0(c_0(c_0(c_1(c_2(x1)))))))))))))))))) -> 0(2(2(1(2(0(1(2(0(3(0(0(2(1(3(0(3(2(x1)))))))))))))))))) [1]
   2(c_3(c_0(c_2(c_0(c_3(c_2(c_0(c_2(c_3(c_2(c_1(c_2(c_2(c_2(c_3(c_0(c_3(x1)))))))))))))))))) -> 2(3(2(3(3(0(0(2(2(2(1(3(2(0(2(3(2(0(x1)))))))))))))))))) [1]
   2(c_3(c_1(c_0(c_1(c_0(c_1(c_2(c_1(c_0(c_3(c_1(c_0(c_3(c_1(c_2(c_2(c_3(x1)))))))))))))))))) -> 2(1(2(1(1(0(1(0(2(3(0(0(3(3(3(1(1(2(x1)))))))))))))))))) [1]
   2(c_1(c_0(c_1(c_1(c_3(c_3(c_0(c_1(c_0(c_1(c_2(c_3(c_3(c_0(c_3(c_2(c_2(x1)))))))))))))))))) -> 0(3(3(1(3(3(0(2(1(1(3(1(0(2(1(2(0(2(x1)))))))))))))))))) [1]
   2(c_3(c_1(c_1(c_0(c_3(c_1(c_2(c_1(c_0(c_1(c_3(c_2(c_0(c_1(c_2(c_1(c_1(x1)))))))))))))))))) -> 2(3(2(0(1(1(1(3(2(1(1(3(0(0(1(1(2(1(x1)))))))))))))))))) [1]
   1(c_1(c_0(c_3(c_1(c_0(c_2(c_3(c_1(c_1(c_0(c_3(c_3(c_0(c_3(c_1(c_1(c_1(x1)))))))))))))))))) -> 1(1(3(1(3(2(3(0(1(0(3(0(1(3(1(0(1(1(x1)))))))))))))))))) [1]
   0(c_1(c_0(c_2(c_1(c_1(c_0(c_0(c_1(c_0(c_3(c_1(c_1(c_0(c_2(c_1(c_2(c_3(x1)))))))))))))))))) -> 0(1(2(0(0(2(1(1(0(1(1(1(0(1(3(0(2(3(x1)))))))))))))))))) [1]
   2(c_1(c_2(c_2(c_2(c_1(c_3(c_2(c_0(c_0(c_2(c_3(c_2(c_3(c_3(c_3(c_0(c_3(x1)))))))))))))))))) -> 2(3(3(1(3(2(0(3(2(1(3(0(2(2(2(2(3(0(x1)))))))))))))))))) [1]
   2(c_2(c_1(c_2(c_3(c_2(c_0(c_2(c_0(c_3(c_1(c_0(c_1(c_1(c_0(c_1(c_3(c_3(x1)))))))))))))))))) -> 2(2(0(1(2(0(1(2(3(1(0(2(0(1(3(1(3(3(x1)))))))))))))))))) [1]
   3(c_1(c_0(c_0(c_3(c_0(c_3(c_2(c_3(c_2(c_3(c_0(c_1(c_0(c_1(c_1(c_2(c_3(x1)))))))))))))))))) -> 3(0(1(3(2(3(3(1(1(0(2(0(0(3(1(3(0(2(x1)))))))))))))))))) [1]
   1(c_3(c_2(c_2(c_1(c_0(c_1(c_2(c_1(c_0(c_3(c_1(c_0(c_3(c_2(c_3(c_0(c_3(x1)))))))))))))))))) -> 3(1(3(2(1(1(0(0(2(0(0(3(1(3(2(2(1(3(x1)))))))))))))))))) [1]
   1(c_2(c_1(c_2(c_1(c_2(c_0(c_1(c_0(c_1(c_3(c_1(c_0(c_0(c_0(c_1(c_3(c_3(x1)))))))))))))))))) -> 1(1(2(2(1(0(1(3(0(1(1(3(0(2(1(3(0(0(x1)))))))))))))))))) [1]
   1(c_2(c_0(c_1(c_2(c_1(c_0(c_2(c_0(c_0(c_3(c_1(c_0(c_2(c_0(c_3(c_2(c_2(x1)))))))))))))))))) -> 1(1(0(0(0(2(1(0(2(0(3(2(2(1(0(2(3(2(x1)))))))))))))))))) [1]
   2(c_1(c_1(c_1(c_0(c_2(c_2(c_2(c_1(c_0(c_2(c_0(c_0(c_2(c_2(c_2(c_2(c_1(x1)))))))))))))))))) -> 2(2(2(2(1(1(2(0(1(0(0(0(2(1(2(2(2(1(x1)))))))))))))))))) [1]
   3(c_0(c_3(c_1(c_0(c_1(c_0(c_3(c_3(c_1(c_0(c_3(c_2(c_3(c_3(c_2(c_0(c_3(x1)))))))))))))))))) -> 1(3(0(2(0(0(3(3(2(1(3(0(3(3(1(3(3(0(x1)))))))))))))))))) [1]
   0(c_1(c_0(c_3(c_2(c_0(c_0(c_0(c_3(c_3(c_0(c_2(c_2(c_2(c_2(c_1(c_1(c_1(x1)))))))))))))))))) -> 0(0(1(1(3(0(3(0(0(2(2(2(0(2(2(1(3(1(x1)))))))))))))))))) [1]
   1(c_3(c_1(c_1(c_0(c_1(c_2(c_1(c_1(c_1(c_0(c_3(c_1(c_1(c_0(c_2(c_3(c_1(x1)))))))))))))))))) -> 1(1(3(2(1(3(1(1(0(0(1(3(2(1(0(1(1(1(x1)))))))))))))))))) [1]
   1(c_3(c_1(c_3(c_2(c_0(c_1(c_3(c_1(c_1(c_3(c_2(c_3(c_3(c_3(c_3(c_0(c_1(x1)))))))))))))))))) -> 1(3(3(3(1(2(3(1(3(0(2(1(1(3(0(3(3(1(x1)))))))))))))))))) [1]
   0(c_0(c_3(c_1(c_0(c_2(c_2(c_0(c_2(c_3(c_1(c_1(c_0(c_1(c_2(c_2(c_0(c_1(x1)))))))))))))))))) -> 0(2(1(1(3(0(0(0(1(0(2(3(1(2(2(0(2(1(x1)))))))))))))))))) [1]
   1(c_0(c_0(c_0(c_1(c_2(c_3(c_3(c_2(c_2(c_1(c_0(c_2(c_3(c_3(c_2(c_0(c_3(x1)))))))))))))))))) -> 3(0(2(1(1(3(3(1(0(0(2(0(2(2(3(2(0(3(x1)))))))))))))))))) [1]
   1(c_1(c_0(c_0(c_1(c_2(c_1(c_2(c_2(c_0(c_3(c_1(c_2(c_3(c_2(c_0(c_0(c_3(x1)))))))))))))))))) -> 1(2(2(0(2(1(0(2(1(0(0(2(3(0(1(1(3(3(x1)))))))))))))))))) [1]
   1(c_2(c_0(c_2(c_0(c_0(c_0(c_3(c_0(c_1(c_0(c_1(c_1(c_0(c_3(c_1(c_0(c_3(x1)))))))))))))))))) -> 1(3(0(3(1(1(0(1(1(0(0(0(2(2(3(0(0(0(x1)))))))))))))))))) [1]
   0(c_3(c_2(c_0(c_3(c_1(c_0(c_1(c_0(c_3(c_0(c_3(c_0(c_0(c_3(c_0(c_0(c_0(x1)))))))))))))))))) -> 0(3(0(0(0(0(1(2(0(3(3(0(0(3(0(1(3(0(x1)))))))))))))))))) [1]
   2(c_3(c_2(c_2(c_2(c_3(c_0(c_3(c_1(c_0(c_3(c_2(c_1(c_1(c_2(c_0(c_2(c_3(x1)))))))))))))))))) -> 2(2(1(1(0(1(2(3(3(0(3(3(2(2(2(0(2(3(x1)))))))))))))))))) [1]
   1(c_1(c_0(c_3(c_1(c_0(c_3(c_3(c_3(c_1(c_1(c_2(c_2(c_2(c_2(c_0(c_1(c_2(x1)))))))))))))))))) -> 2(1(1(0(0(1(1(2(3(3(3(0(1(2(3(2(1(2(x1)))))))))))))))))) [1]
   2(c_2(c_3(c_1(c_2(c_3(c_0(c_3(c_1(c_1(c_1(c_0(c_1(c_1(c_0(c_1(c_3(c_1(x1)))))))))))))))))) -> 2(3(1(1(2(0(1(3(1(1(0(1(1(3(1(3(0(2(x1)))))))))))))))))) [1]
   3(c_0(c_1(c_0(c_1(c_2(c_3(c_3(c_1(c_2(c_3(c_2(c_1(c_1(c_1(c_3(c_3(c_0(x1)))))))))))))))))) -> 3(0(1(2(1(3(3(1(3(0(1(3(1(2(0(1(3(2(x1)))))))))))))))))) [1]
   1(c_3(c_3(c_0(c_0(c_3(c_3(c_1(c_0(c_0(c_2(c_3(c_3(c_1(c_3(c_2(c_3(c_1(x1)))))))))))))))))) -> 1(3(0(0(1(3(0(1(3(3(2(2(3(3(3(3(0(1(x1)))))))))))))))))) [1]
   1(c_2(c_3(c_3(c_2(c_1(c_0(c_3(c_2(c_2(c_1(c_0(c_3(c_1(c_0(c_0(c_0(c_0(x1)))))))))))))))))) -> 0(3(0(1(2(1(3(0(1(0(2(1(2(3(3(0(2(0(x1)))))))))))))))))) [1]
   2(c_2(c_0(c_3(c_1(c_2(c_0(c_3(c_1(c_2(c_1(c_3(c_0(c_1(c_0(c_3(c_0(c_0(x1)))))))))))))))))) -> 2(3(2(2(1(3(0(3(0(1(3(0(0(0(1(1(2(0(x1)))))))))))))))))) [1]
   3(c_1(c_2(c_3(c_2(c_0(c_2(c_3(c_1(c_1(c_1(c_3(c_3(c_2(c_0(c_0(c_0(c_3(x1)))))))))))))))))) -> 3(1(3(2(1(3(0(2(1(0(0(2(3(1(2(3(3(0(x1)))))))))))))))))) [1]
   1(c_0(c_3(c_0(c_3(c_1(c_0(c_3(c_3(c_1(c_2(c_1(c_3(c_2(c_0(c_2(c_1(c_0(x1)))))))))))))))))) -> 2(2(1(3(0(0(1(3(1(0(2(0(0(3(3(3(1(1(x1)))))))))))))))))) [1]
   3(c_2(c_3(c_2(c_2(c_0(c_3(c_3(c_2(c_0(c_1(c_0(c_0(c_2(c_0(c_1(c_1(c_1(x1)))))))))))))))))) -> 3(0(1(3(2(0(3(0(1(2(3(0(2(0(2(2(1(1(x1)))))))))))))))))) [1]
   0(c_1(c_2(c_3(c_2(c_1(c_0(c_1(c_2(c_2(c_0(c_0(c_1(c_0(c_3(c_1(c_0(c_1(x1)))))))))))))))))) -> 0(2(1(1(1(0(2(2(0(0(1(1(0(3(0(1(3(2(x1)))))))))))))))))) [1]
   1(c_2(c_3(c_0(c_3(c_2(c_0(c_2(c_0(c_2(c_0(c_3(c_2(c_0(c_2(c_2(c_0(c_0(x1)))))))))))))))))) -> 1(2(2(2(0(3(3(0(0(2(0(0(0(2(2(2(3(0(x1)))))))))))))))))) [1]
   0(c_2(c_1(c_0(c_3(c_0(c_3(c_0(c_3(c_2(c_0(c_1(c_0(c_1(c_2(c_2(c_1(c_1(x1)))))))))))))))))) -> 0(2(3(0(3(2(2(1(2(1(1(0(0(3(0(0(1(1(x1)))))))))))))))))) [1]
   2(c_2(c_3(c_3(c_1(c_3(c_1(c_1(c_0(c_1(c_2(c_2(c_0(c_3(c_2(c_0(c_3(c_3(x1)))))))))))))))))) -> 2(2(3(1(3(2(1(3(3(1(0(0(2(3(3(1(0(2(x1)))))))))))))))))) [1]
   1(c_1(c_3(c_2(c_0(c_2(c_3(c_1(c_0(c_1(c_0(c_2(c_3(c_3(c_2(c_2(c_0(c_0(x1)))))))))))))))))) -> 2(0(2(3(2(0(2(0(1(2(1(3(0(1(3(0(1(3(x1)))))))))))))))))) [1]
   1(c_0(c_3(c_3(c_1(c_0(c_3(c_3(c_3(c_1(c_1(c_3(c_2(c_0(c_0(c_1(c_3(c_1(x1)))))))))))))))))) -> 1(3(3(0(1(3(3(0(1(3(3(0(1(3(2(1(0(1(x1)))))))))))))))))) [1]
   3(c_3(c_1(c_2(c_2(c_2(c_3(c_3(c_3(c_1(c_3(c_0(c_1(c_1(c_1(c_2(c_1(c_0(x1)))))))))))))))))) -> 3(3(3(1(2(3(1(3(0(2(2(1(3(0(2(1(1(1(x1)))))))))))))))))) [1]
   0(c_0(c_2(c_2(c_1(c_3(c_2(c_2(c_2(c_1(c_0(c_2(c_2(c_0(c_2(c_2(c_0(c_0(x1)))))))))))))))))) -> 0(2(2(2(2(1(3(0(0(2(1(0(2(2(2(2(0(0(x1)))))))))))))))))) [1]
   1(c_2(c_1(c_3(c_2(c_3(c_3(c_1(c_1(c_1(c_0(c_1(c_0(c_0(c_3(c_2(c_0(c_3(x1)))))))))))))))))) -> 1(3(3(2(3(0(2(1(3(1(1(3(1(2(1(0(0(0(x1)))))))))))))))))) [1]
   3(c_1(c_1(c_0(c_3(c_0(c_1(c_1(c_3(c_2(c_1(c_2(c_3(c_3(c_1(c_3(c_3(c_1(x1)))))))))))))))))) -> 3(1(3(2(1(1(1(3(3(0(3(2(1(3(0(1(3(1(x1)))))))))))))))))) [1]
   0(c_3(c_1(c_1(c_2(c_3(c_0(c_3(c_0(c_1(c_0(c_1(c_2(c_2(c_1(c_0(c_2(c_2(x1)))))))))))))))))) -> 0(0(1(3(0(0(2(2(2(3(2(1(1(1(1(0(3(2(x1)))))))))))))))))) [1]
   1(c_2(c_1(c_0(c_3(c_1(c_3(c_3(c_2(c_2(c_2(c_2(c_0(c_0(c_3(c_1(c_0(c_1(x1)))))))))))))))))) -> 3(1(2(0(1(3(2(3(2(2(0(0(0(2(3(1(1(1(x1)))))))))))))))))) [1]
   1(c_2(c_3(c_3(c_1(c_2(c_2(c_2(c_1(c_0(c_1(c_2(c_0(c_1(c_3(c_2(c_0(c_1(x1)))))))))))))))))) -> 3(3(0(0(2(0(2(2(1(1(1(3(1(2(2(1(2(1(x1)))))))))))))))))) [1]
   1(c_0(c_1(c_3(c_2(c_2(c_3(c_2(c_0(c_0(c_1(c_0(c_3(c_2(c_3(c_2(c_3(c_3(x1)))))))))))))))))) -> 1(3(3(1(2(2(0(3(0(0(1(3(0(2(2(3(2(3(x1)))))))))))))))))) [1]
   3(c_3(c_0(c_1(c_0(c_3(c_2(c_0(c_1(c_1(c_1(c_1(c_3(c_1(c_2(c_3(c_3(c_3(x1)))))))))))))))))) -> 3(2(3(1(1(1(0(3(3(0(2(1(3(0(1(3(1(3(x1)))))))))))))))))) [1]
   2(c_1(c_3(c_3(c_3(c_1(c_2(c_1(c_2(c_1(c_0(c_0(c_3(c_1(c_3(c_2(c_0(c_0(x1)))))))))))))))))) -> 2(1(3(0(1(3(1(0(2(2(0(0(1(3(1(3(2(3(x1)))))))))))))))))) [1]
   3(c_3(c_1(c_0(c_3(c_2(c_3(c_0(c_3(c_1(c_0(c_2(c_0(c_3(c_0(c_2(c_2(c_0(x1)))))))))))))))))) -> 3(3(3(2(0(3(0(3(0(1(0(0(1(3(0(2(2(2(x1)))))))))))))))))) [1]
   1(c_1(c_1(c_3(c_1(c_3(c_1(c_0(c_3(c_2(c_1(c_3(c_2(c_1(c_0(c_3(c_0(c_3(x1)))))))))))))))))) -> 1(2(2(3(0(1(3(1(1(3(0(0(1(3(1(1(3(3(x1)))))))))))))))))) [1]
   3(c_1(c_2(c_0(c_3(c_2(c_2(c_3(c_2(c_0(c_3(c_3(c_2(c_3(c_3(c_1(c_1(c_3(x1)))))))))))))))))) -> 3(2(2(3(1(3(3(2(1(3(3(0(2(0(2(3(1(3(x1)))))))))))))))))) [1]
   0(c_1(c_1(c_1(c_1(c_3(c_1(c_1(c_0(c_1(c_3(c_1(c_0(c_2(c_3(c_3(c_3(c_2(x1)))))))))))))))))) -> 0(2(0(1(3(1(1(3(1(0(1(3(2(1(3(1(1(3(x1)))))))))))))))))) [1]
   2(c_2(c_1(c_0(c_1(c_2(c_0(c_0(c_3(c_0(c_2(c_1(c_1(c_2(c_1(c_2(c_1(c_2(x1)))))))))))))))))) -> 2(2(1(0(3(2(1(1(1(0(0(2(0(1(2(2(1(2(x1)))))))))))))))))) [1]
   3(c_2(c_0(c_1(c_2(c_1(c_0(c_3(c_3(c_3(c_3(c_1(c_2(c_1(c_1(c_0(c_1(c_0(x1)))))))))))))))))) -> 3(0(0(2(1(3(2(3(3(1(1(3(1(1(0(2(0(1(x1)))))))))))))))))) [1]
   1(c_3(c_3(c_0(c_1(c_1(c_3(c_2(c_2(c_1(c_1(c_0(c_3(c_1(c_2(c_1(c_0(c_0(x1)))))))))))))))))) -> 1(3(1(1(0(0(1(1(2(1(3(0(2(3(1(0(2(3(x1)))))))))))))))))) [1]
   2(c_3(c_3(c_2(c_3(c_1(c_0(c_1(c_1(c_1(c_3(c_1(c_0(c_1(c_0(c_3(c_2(c_0(x1)))))))))))))))))) -> 2(1(0(0(1(2(3(1(1(3(3(3(1(1(3(2(0(0(x1)))))))))))))))))) [1]
   1(c_1(c_1(c_1(c_0(c_1(c_3(c_2(c_1(c_1(c_2(c_2(c_0(c_2(c_2(c_3(c_0(c_2(x1)))))))))))))))))) -> 1(1(1(2(3(0(2(2(1(1(1(2(3(0(1(2(0(2(x1)))))))))))))))))) [1]
   1(c_1(c_3(c_3(c_2(c_1(c_3(c_3(c_2(c_0(c_1(c_3(c_3(c_3(c_0(c_3(c_2(c_1(x1)))))))))))))))))) -> 1(3(1(3(0(3(3(3(1(3(3(2(3(1(2(0(2(1(x1)))))))))))))))))) [1]
   1(c_0(c_2(c_3(c_1(c_2(c_3(c_1(c_2(c_3(c_2(c_3(c_2(c_1(c_2(c_2(c_2(c_2(x1)))))))))))))))))) -> 2(3(2(2(3(0(2(1(3(2(2(1(1(1(3(2(2(2(x1)))))))))))))))))) [1]
   2(c_0(c_1(c_0(c_2(c_2(c_2(c_2(c_0(c_3(c_2(c_3(c_1(c_2(c_3(c_0(c_3(c_2(x1)))))))))))))))))) -> 2(0(2(0(2(2(3(0(3(3(1(3(0(1(2(2(2(2(x1)))))))))))))))))) [1]
   1(c_3(c_3(c_2(c_2(c_1(c_0(c_3(c_2(c_1(c_1(c_1(c_2(c_3(c_1(c_0(c_1(c_0(x1)))))))))))))))))) -> 2(0(1(2(1(2(1(3(1(1(3(0(3(2(1(3(0(1(x1)))))))))))))))))) [1]
   2(c_1(c_2(c_3(c_3(c_3(c_0(c_2(c_0(c_0(c_2(c_2(c_1(c_0(c_2(c_0(c_2(c_0(x1)))))))))))))))))) -> 0(3(0(2(2(2(1(3(0(0(1(3(0(0(2(2(2(2(x1)))))))))))))))))) [1]
   0(c_3(c_0(c_1(c_0(c_3(c_0(c_1(c_1(c_1(c_2(c_0(c_0(c_0(c_3(c_2(c_1(c_0(x1)))))))))))))))))) -> 0(0(2(2(1(3(0(0(1(3(0(1(0(1(0(0(1(3(x1)))))))))))))))))) [1]
   2(c_2(c_0(c_0(c_2(c_1(c_1(c_2(c_1(c_2(c_0(c_1(c_2(c_2(c_2(c_2(c_2(c_2(x1)))))))))))))))))) -> 2(2(2(2(1(1(0(2(1(1(2(2(0(2(0(2(2(2(x1)))))))))))))))))) [1]
   2(c_2(c_1(c_1(c_3(c_1(c_0(c_0(c_1(c_2(c_3(c_2(c_3(c_1(c_0(c_1(c_1(c_0(x1)))))))))))))))))) -> 0(1(2(2(3(1(0(2(1(3(2(1(1(3(0(1(1(0(x1)))))))))))))))))) [1]
   2(c_3(c_1(c_0(c_2(c_3(c_1(c_0(c_0(c_1(c_0(c_1(c_0(c_1(c_2(c_2(c_1(c_0(x1)))))))))))))))))) -> 2(0(3(1(0(1(0(1(2(0(2(2(1(3(0(0(1(1(x1)))))))))))))))))) [1]
   1(c_2(c_3(c_1(c_1(c_0(c_0(c_3(c_3(c_0(c_2(c_1(c_3(c_3(c_0(c_3(c_2(c_3(x1)))))))))))))))))) -> 3(1(3(0(2(3(3(1(3(0(2(1(2(0(0(1(3(3(x1)))))))))))))))))) [1]
   2(c_0(c_0(c_3(c_1(c_2(c_3(c_2(c_0(c_2(c_3(c_0(c_1(c_2(c_2(c_0(c_0(c_2(x1)))))))))))))))))) -> 2(0(2(3(1(3(0(0(3(2(0(1(0(2(0(2(2(2(x1)))))))))))))))))) [1]
   2(c_2(c_1(c_1(c_2(c_3(c_1(c_2(c_1(c_3(c_1(c_0(c_2(c_2(c_0(c_3(c_1(c_1(x1)))))))))))))))))) -> 2(2(1(2(3(1(1(3(1(2(2(1(0(0(2(1(3(1(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_2(x_1) -> 2(encArg(x_1)) [0]
   encode_1(x_1) -> 1(encArg(x_1)) [0]
   encode_3(x_1) -> 3(encArg(x_1)) [0]
   0(x0) -> c_0(x0) [0]
   1(x0) -> c_1(x0) [0]
   2(x0) -> c_2(x0) [0]
   3(x0) -> c_3(x0) [0]

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

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

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

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

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


The TRS R consists of the following rules:

   2'(c_2(c_2(c_2(c_1(c_1(c_0(c_1(c_1(c_2(c_2(c_0(c_0(c_1(c_2(c_2(c_1(c_1(x1)))))))))))))))))) -> 0'(2'(1'(2'(0'(2'(0'(2'(2'(1'(2'(2'(2'(1'(1'(1'(1'(1'(x1)))))))))))))))))) [1]
   1'(c_0(c_1(c_0(c_2(c_0(c_2(c_3(c_1(c_1(c_2(c_2(c_0(c_0(c_3(c_0(c_3(c_2(x1)))))))))))))))))) -> 0'(0'(0'(1'(1'(3'(1'(3'(2'(0'(0'(2'(2'(1'(3'(0'(2'(2'(x1)))))))))))))))))) [1]
   0'(c_2(c_3(c_0(c_1(c_2(c_3(c_2(c_0(c_3(c_1(c_0(c_0(c_0(c_3(c_3(c_0(c_3(x1)))))))))))))))))) -> 0'(2'(1'(3'(0'(0'(3'(3'(0'(1'(0'(2'(2'(3'(3'(0'(0'(3'(x1)))))))))))))))))) [1]
   1'(c_2(c_0(c_0(c_2(c_1(c_3(c_2(c_2(c_3(c_2(c_2(c_0(c_3(c_2(c_3(c_2(c_2(x1)))))))))))))))))) -> 1'(2'(0'(3'(2'(2'(2'(2'(3'(0'(0'(2'(2'(2'(3'(1'(3'(2'(x1)))))))))))))))))) [1]
   1'(c_0(c_2(c_3(c_3(c_3(c_1(c_0(c_2(c_0(c_1(c_2(c_2(c_3(c_2(c_1(c_0(c_1(x1)))))))))))))))))) -> 2'(3'(2'(1'(0'(1'(3'(1'(3'(0'(2'(3'(0'(2'(0'(1'(2'(1'(x1)))))))))))))))))) [1]
   2'(c_0(c_1(c_3(c_3(c_3(c_3(c_3(c_1(c_1(c_3(c_2(c_0(c_1(c_0(c_0(c_1(c_0(x1)))))))))))))))))) -> 1'(3'(0'(2'(1'(1'(3'(0'(2'(3'(0'(0'(3'(1'(3'(3'(1'(0'(x1)))))))))))))))))) [1]
   2'(c_3(c_2(c_1(c_0(c_0(c_0(c_2(c_3(c_2(c_3(c_0(c_3(c_0(c_2(c_1(c_1(c_2(x1)))))))))))))))))) -> 2'(2'(3'(0'(3'(0'(2'(1'(0'(2'(2'(0'(1'(3'(1'(3'(0'(2'(x1)))))))))))))))))) [1]
   2'(c_1(c_2(c_2(c_3(c_2(c_3(c_0(c_1(c_3(c_2(c_1(c_1(c_3(c_3(c_2(c_2(c_2(x1)))))))))))))))))) -> 2'(1'(1'(1'(3'(2'(3'(2'(2'(3'(0'(2'(3'(2'(1'(3'(2'(2'(x1)))))))))))))))))) [1]
   2'(c_1(c_2(c_2(c_2(c_0(c_2(c_1(c_2(c_3(c_0(c_0(c_3(c_1(c_2(c_2(c_1(c_3(x1)))))))))))))))))) -> 0'(2'(0'(2'(1'(3'(2'(2'(1'(3'(2'(2'(1'(3'(0'(2'(1'(2'(x1)))))))))))))))))) [1]
   1'(c_1(c_1(c_2(c_1(c_1(c_1(c_2(c_1(c_3(c_1(c_0(c_1(c_2(c_1(c_2(c_3(c_1(x1)))))))))))))))))) -> 1'(1'(1'(1'(1'(1'(3'(0'(2'(2'(1'(1'(1'(2'(3'(1'(2'(1'(x1)))))))))))))))))) [1]
   2'(c_0(c_3(c_0(c_3(c_2(c_3(c_2(c_1(c_0(c_1(c_2(c_2(c_0(c_0(c_0(c_1(c_2(x1)))))))))))))))))) -> 0'(2'(2'(1'(2'(0'(1'(2'(0'(3'(0'(0'(2'(1'(3'(0'(3'(2'(x1)))))))))))))))))) [1]
   2'(c_3(c_0(c_2(c_0(c_3(c_2(c_0(c_2(c_3(c_2(c_1(c_2(c_2(c_2(c_3(c_0(c_3(x1)))))))))))))))))) -> 2'(3'(2'(3'(3'(0'(0'(2'(2'(2'(1'(3'(2'(0'(2'(3'(2'(0'(x1)))))))))))))))))) [1]
   2'(c_3(c_1(c_0(c_1(c_0(c_1(c_2(c_1(c_0(c_3(c_1(c_0(c_3(c_1(c_2(c_2(c_3(x1)))))))))))))))))) -> 2'(1'(2'(1'(1'(0'(1'(0'(2'(3'(0'(0'(3'(3'(3'(1'(1'(2'(x1)))))))))))))))))) [1]
   2'(c_1(c_0(c_1(c_1(c_3(c_3(c_0(c_1(c_0(c_1(c_2(c_3(c_3(c_0(c_3(c_2(c_2(x1)))))))))))))))))) -> 0'(3'(3'(1'(3'(3'(0'(2'(1'(1'(3'(1'(0'(2'(1'(2'(0'(2'(x1)))))))))))))))))) [1]
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   2'(c_2(c_0(c_0(c_2(c_1(c_1(c_2(c_1(c_2(c_0(c_1(c_2(c_2(c_2(c_2(c_2(c_2(x1)))))))))))))))))) -> 2'(2'(2'(2'(1'(1'(0'(2'(1'(1'(2'(2'(0'(2'(0'(2'(2'(2'(x1)))))))))))))))))) [1]
   2'(c_2(c_1(c_1(c_3(c_1(c_0(c_0(c_1(c_2(c_3(c_2(c_3(c_1(c_0(c_1(c_1(c_0(x1)))))))))))))))))) -> 0'(1'(2'(2'(3'(1'(0'(2'(1'(3'(2'(1'(1'(3'(0'(1'(1'(0'(x1)))))))))))))))))) [1]
   2'(c_3(c_1(c_0(c_2(c_3(c_1(c_0(c_0(c_1(c_0(c_1(c_0(c_1(c_2(c_2(c_1(c_0(x1)))))))))))))))))) -> 2'(0'(3'(1'(0'(1'(0'(1'(2'(0'(2'(2'(1'(3'(0'(0'(1'(1'(x1)))))))))))))))))) [1]
   1'(c_2(c_3(c_1(c_1(c_0(c_0(c_3(c_3(c_0(c_2(c_1(c_3(c_3(c_0(c_3(c_2(c_3(x1)))))))))))))))))) -> 3'(1'(3'(0'(2'(3'(3'(1'(3'(0'(2'(1'(2'(0'(0'(1'(3'(3'(x1)))))))))))))))))) [1]
   2'(c_0(c_0(c_3(c_1(c_2(c_3(c_2(c_0(c_2(c_3(c_0(c_1(c_2(c_2(c_0(c_0(c_2(x1)))))))))))))))))) -> 2'(0'(2'(3'(1'(3'(0'(0'(3'(2'(0'(1'(0'(2'(0'(2'(2'(2'(x1)))))))))))))))))) [1]
   2'(c_2(c_1(c_1(c_2(c_3(c_1(c_2(c_1(c_3(c_1(c_0(c_2(c_2(c_0(c_3(c_1(c_1(x1)))))))))))))))))) -> 2'(2'(1'(2'(3'(1'(1'(3'(1'(2'(2'(1'(0'(0'(2'(1'(3'(1'(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_2(x_1) -> 2'(encArg(x_1)) [0]
   encode_1(x_1) -> 1'(encArg(x_1)) [0]
   encode_3(x_1) -> 3'(encArg(x_1)) [0]
   0'(x0) -> c_0(x0) [0]
   1'(x0) -> c_1(x0) [0]
   2'(x0) -> c_2(x0) [0]
   3'(x0) -> c_3(x0) [0]

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

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

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

   2'(c_2(c_2(c_2(c_1(c_1(c_0(c_1(c_1(c_2(c_2(c_0(c_0(c_1(c_2(c_2(c_1(c_1(x1)))))))))))))))))) -> 0'(2'(1'(2'(0'(2'(0'(2'(2'(1'(2'(2'(2'(1'(1'(1'(1'(1'(x1)))))))))))))))))) [1]
   1'(c_0(c_1(c_0(c_2(c_0(c_2(c_3(c_1(c_1(c_2(c_2(c_0(c_0(c_3(c_0(c_3(c_2(x1)))))))))))))))))) -> 0'(0'(0'(1'(1'(3'(1'(3'(2'(0'(0'(2'(2'(1'(3'(0'(2'(2'(x1)))))))))))))))))) [1]
   0'(c_2(c_3(c_0(c_1(c_2(c_3(c_2(c_0(c_3(c_1(c_0(c_0(c_0(c_3(c_3(c_0(c_3(x1)))))))))))))))))) -> 0'(2'(1'(3'(0'(0'(3'(3'(0'(1'(0'(2'(2'(3'(3'(0'(0'(3'(x1)))))))))))))))))) [1]
   1'(c_2(c_0(c_0(c_2(c_1(c_3(c_2(c_2(c_3(c_2(c_2(c_0(c_3(c_2(c_3(c_2(c_2(x1)))))))))))))))))) -> 1'(2'(0'(3'(2'(2'(2'(2'(3'(0'(0'(2'(2'(2'(3'(1'(3'(2'(x1)))))))))))))))))) [1]
   1'(c_0(c_2(c_3(c_3(c_3(c_1(c_0(c_2(c_0(c_1(c_2(c_2(c_3(c_2(c_1(c_0(c_1(x1)))))))))))))))))) -> 2'(3'(2'(1'(0'(1'(3'(1'(3'(0'(2'(3'(0'(2'(0'(1'(2'(1'(x1)))))))))))))))))) [1]
   2'(c_0(c_1(c_3(c_3(c_3(c_3(c_3(c_1(c_1(c_3(c_2(c_0(c_1(c_0(c_0(c_1(c_0(x1)))))))))))))))))) -> 1'(3'(0'(2'(1'(1'(3'(0'(2'(3'(0'(0'(3'(1'(3'(3'(1'(0'(x1)))))))))))))))))) [1]
   2'(c_3(c_2(c_1(c_0(c_0(c_0(c_2(c_3(c_2(c_3(c_0(c_3(c_0(c_2(c_1(c_1(c_2(x1)))))))))))))))))) -> 2'(2'(3'(0'(3'(0'(2'(1'(0'(2'(2'(0'(1'(3'(1'(3'(0'(2'(x1)))))))))))))))))) [1]
   2'(c_1(c_2(c_2(c_3(c_2(c_3(c_0(c_1(c_3(c_2(c_1(c_1(c_3(c_3(c_2(c_2(c_2(x1)))))))))))))))))) -> 2'(1'(1'(1'(3'(2'(3'(2'(2'(3'(0'(2'(3'(2'(1'(3'(2'(2'(x1)))))))))))))))))) [1]
   2'(c_1(c_2(c_2(c_2(c_0(c_2(c_1(c_2(c_3(c_0(c_0(c_3(c_1(c_2(c_2(c_1(c_3(x1)))))))))))))))))) -> 0'(2'(0'(2'(1'(3'(2'(2'(1'(3'(2'(2'(1'(3'(0'(2'(1'(2'(x1)))))))))))))))))) [1]
   1'(c_1(c_1(c_2(c_1(c_1(c_1(c_2(c_1(c_3(c_1(c_0(c_1(c_2(c_1(c_2(c_3(c_1(x1)))))))))))))))))) -> 1'(1'(1'(1'(1'(1'(3'(0'(2'(2'(1'(1'(1'(2'(3'(1'(2'(1'(x1)))))))))))))))))) [1]
   2'(c_0(c_3(c_0(c_3(c_2(c_3(c_2(c_1(c_0(c_1(c_2(c_2(c_0(c_0(c_0(c_1(c_2(x1)))))))))))))))))) -> 0'(2'(2'(1'(2'(0'(1'(2'(0'(3'(0'(0'(2'(1'(3'(0'(3'(2'(x1)))))))))))))))))) [1]
   2'(c_3(c_0(c_2(c_0(c_3(c_2(c_0(c_2(c_3(c_2(c_1(c_2(c_2(c_2(c_3(c_0(c_3(x1)))))))))))))))))) -> 2'(3'(2'(3'(3'(0'(0'(2'(2'(2'(1'(3'(2'(0'(2'(3'(2'(0'(x1)))))))))))))))))) [1]
   2'(c_3(c_1(c_0(c_1(c_0(c_1(c_2(c_1(c_0(c_3(c_1(c_0(c_3(c_1(c_2(c_2(c_3(x1)))))))))))))))))) -> 2'(1'(2'(1'(1'(0'(1'(0'(2'(3'(0'(0'(3'(3'(3'(1'(1'(2'(x1)))))))))))))))))) [1]
   2'(c_1(c_0(c_1(c_1(c_3(c_3(c_0(c_1(c_0(c_1(c_2(c_3(c_3(c_0(c_3(c_2(c_2(x1)))))))))))))))))) -> 0'(3'(3'(1'(3'(3'(0'(2'(1'(1'(3'(1'(0'(2'(1'(2'(0'(2'(x1)))))))))))))))))) [1]
   2'(c_3(c_1(c_1(c_0(c_3(c_1(c_2(c_1(c_0(c_1(c_3(c_2(c_0(c_1(c_2(c_1(c_1(x1)))))))))))))))))) -> 2'(3'(2'(0'(1'(1'(1'(3'(2'(1'(1'(3'(0'(0'(1'(1'(2'(1'(x1)))))))))))))))))) [1]
   1'(c_1(c_0(c_3(c_1(c_0(c_2(c_3(c_1(c_1(c_0(c_3(c_3(c_0(c_3(c_1(c_1(c_1(x1)))))))))))))))))) -> 1'(1'(3'(1'(3'(2'(3'(0'(1'(0'(3'(0'(1'(3'(1'(0'(1'(1'(x1)))))))))))))))))) [1]
   0'(c_1(c_0(c_2(c_1(c_1(c_0(c_0(c_1(c_0(c_3(c_1(c_1(c_0(c_2(c_1(c_2(c_3(x1)))))))))))))))))) -> 0'(1'(2'(0'(0'(2'(1'(1'(0'(1'(1'(1'(0'(1'(3'(0'(2'(3'(x1)))))))))))))))))) [1]
   2'(c_1(c_2(c_2(c_2(c_1(c_3(c_2(c_0(c_0(c_2(c_3(c_2(c_3(c_3(c_3(c_0(c_3(x1)))))))))))))))))) -> 2'(3'(3'(1'(3'(2'(0'(3'(2'(1'(3'(0'(2'(2'(2'(2'(3'(0'(x1)))))))))))))))))) [1]
   2'(c_2(c_1(c_2(c_3(c_2(c_0(c_2(c_0(c_3(c_1(c_0(c_1(c_1(c_0(c_1(c_3(c_3(x1)))))))))))))))))) -> 2'(2'(0'(1'(2'(0'(1'(2'(3'(1'(0'(2'(0'(1'(3'(1'(3'(3'(x1)))))))))))))))))) [1]
   3'(c_1(c_0(c_0(c_3(c_0(c_3(c_2(c_3(c_2(c_3(c_0(c_1(c_0(c_1(c_1(c_2(c_3(x1)))))))))))))))))) -> 3'(0'(1'(3'(2'(3'(3'(1'(1'(0'(2'(0'(0'(3'(1'(3'(0'(2'(x1)))))))))))))))))) [1]
   1'(c_3(c_2(c_2(c_1(c_0(c_1(c_2(c_1(c_0(c_3(c_1(c_0(c_3(c_2(c_3(c_0(c_3(x1)))))))))))))))))) -> 3'(1'(3'(2'(1'(1'(0'(0'(2'(0'(0'(3'(1'(3'(2'(2'(1'(3'(x1)))))))))))))))))) [1]
   1'(c_2(c_1(c_2(c_1(c_2(c_0(c_1(c_0(c_1(c_3(c_1(c_0(c_0(c_0(c_1(c_3(c_3(x1)))))))))))))))))) -> 1'(1'(2'(2'(1'(0'(1'(3'(0'(1'(1'(3'(0'(2'(1'(3'(0'(0'(x1)))))))))))))))))) [1]
   1'(c_2(c_0(c_1(c_2(c_1(c_0(c_2(c_0(c_0(c_3(c_1(c_0(c_2(c_0(c_3(c_2(c_2(x1)))))))))))))))))) -> 1'(1'(0'(0'(0'(2'(1'(0'(2'(0'(3'(2'(2'(1'(0'(2'(3'(2'(x1)))))))))))))))))) [1]
   2'(c_1(c_1(c_1(c_0(c_2(c_2(c_2(c_1(c_0(c_2(c_0(c_0(c_2(c_2(c_2(c_2(c_1(x1)))))))))))))))))) -> 2'(2'(2'(2'(1'(1'(2'(0'(1'(0'(0'(0'(2'(1'(2'(2'(2'(1'(x1)))))))))))))))))) [1]
   3'(c_0(c_3(c_1(c_0(c_1(c_0(c_3(c_3(c_1(c_0(c_3(c_2(c_3(c_3(c_2(c_0(c_3(x1)))))))))))))))))) -> 1'(3'(0'(2'(0'(0'(3'(3'(2'(1'(3'(0'(3'(3'(1'(3'(3'(0'(x1)))))))))))))))))) [1]
   0'(c_1(c_0(c_3(c_2(c_0(c_0(c_0(c_3(c_3(c_0(c_2(c_2(c_2(c_2(c_1(c_1(c_1(x1)))))))))))))))))) -> 0'(0'(1'(1'(3'(0'(3'(0'(0'(2'(2'(2'(0'(2'(2'(1'(3'(1'(x1)))))))))))))))))) [1]
   1'(c_3(c_1(c_1(c_0(c_1(c_2(c_1(c_1(c_1(c_0(c_3(c_1(c_1(c_0(c_2(c_3(c_1(x1)))))))))))))))))) -> 1'(1'(3'(2'(1'(3'(1'(1'(0'(0'(1'(3'(2'(1'(0'(1'(1'(1'(x1)))))))))))))))))) [1]
   1'(c_3(c_1(c_3(c_2(c_0(c_1(c_3(c_1(c_1(c_3(c_2(c_3(c_3(c_3(c_3(c_0(c_1(x1)))))))))))))))))) -> 1'(3'(3'(3'(1'(2'(3'(1'(3'(0'(2'(1'(1'(3'(0'(3'(3'(1'(x1)))))))))))))))))) [1]
   0'(c_0(c_3(c_1(c_0(c_2(c_2(c_0(c_2(c_3(c_1(c_1(c_0(c_1(c_2(c_2(c_0(c_1(x1)))))))))))))))))) -> 0'(2'(1'(1'(3'(0'(0'(0'(1'(0'(2'(3'(1'(2'(2'(0'(2'(1'(x1)))))))))))))))))) [1]
   1'(c_0(c_0(c_0(c_1(c_2(c_3(c_3(c_2(c_2(c_1(c_0(c_2(c_3(c_3(c_2(c_0(c_3(x1)))))))))))))))))) -> 3'(0'(2'(1'(1'(3'(3'(1'(0'(0'(2'(0'(2'(2'(3'(2'(0'(3'(x1)))))))))))))))))) [1]
   1'(c_1(c_0(c_0(c_1(c_2(c_1(c_2(c_2(c_0(c_3(c_1(c_2(c_3(c_2(c_0(c_0(c_3(x1)))))))))))))))))) -> 1'(2'(2'(0'(2'(1'(0'(2'(1'(0'(0'(2'(3'(0'(1'(1'(3'(3'(x1)))))))))))))))))) [1]
   1'(c_2(c_0(c_2(c_0(c_0(c_0(c_3(c_0(c_1(c_0(c_1(c_1(c_0(c_3(c_1(c_0(c_3(x1)))))))))))))))))) -> 1'(3'(0'(3'(1'(1'(0'(1'(1'(0'(0'(0'(2'(2'(3'(0'(0'(0'(x1)))))))))))))))))) [1]
   0'(c_3(c_2(c_0(c_3(c_1(c_0(c_1(c_0(c_3(c_0(c_3(c_0(c_0(c_3(c_0(c_0(c_0(x1)))))))))))))))))) -> 0'(3'(0'(0'(0'(0'(1'(2'(0'(3'(3'(0'(0'(3'(0'(1'(3'(0'(x1)))))))))))))))))) [1]
   2'(c_3(c_2(c_2(c_2(c_3(c_0(c_3(c_1(c_0(c_3(c_2(c_1(c_1(c_2(c_0(c_2(c_3(x1)))))))))))))))))) -> 2'(2'(1'(1'(0'(1'(2'(3'(3'(0'(3'(3'(2'(2'(2'(0'(2'(3'(x1)))))))))))))))))) [1]
   1'(c_1(c_0(c_3(c_1(c_0(c_3(c_3(c_3(c_1(c_1(c_2(c_2(c_2(c_2(c_0(c_1(c_2(x1)))))))))))))))))) -> 2'(1'(1'(0'(0'(1'(1'(2'(3'(3'(3'(0'(1'(2'(3'(2'(1'(2'(x1)))))))))))))))))) [1]
   2'(c_2(c_3(c_1(c_2(c_3(c_0(c_3(c_1(c_1(c_1(c_0(c_1(c_1(c_0(c_1(c_3(c_1(x1)))))))))))))))))) -> 2'(3'(1'(1'(2'(0'(1'(3'(1'(1'(0'(1'(1'(3'(1'(3'(0'(2'(x1)))))))))))))))))) [1]
   3'(c_0(c_1(c_0(c_1(c_2(c_3(c_3(c_1(c_2(c_3(c_2(c_1(c_1(c_1(c_3(c_3(c_0(x1)))))))))))))))))) -> 3'(0'(1'(2'(1'(3'(3'(1'(3'(0'(1'(3'(1'(2'(0'(1'(3'(2'(x1)))))))))))))))))) [1]
   1'(c_3(c_3(c_0(c_0(c_3(c_3(c_1(c_0(c_0(c_2(c_3(c_3(c_1(c_3(c_2(c_3(c_1(x1)))))))))))))))))) -> 1'(3'(0'(0'(1'(3'(0'(1'(3'(3'(2'(2'(3'(3'(3'(3'(0'(1'(x1)))))))))))))))))) [1]
   1'(c_2(c_3(c_3(c_2(c_1(c_0(c_3(c_2(c_2(c_1(c_0(c_3(c_1(c_0(c_0(c_0(c_0(x1)))))))))))))))))) -> 0'(3'(0'(1'(2'(1'(3'(0'(1'(0'(2'(1'(2'(3'(3'(0'(2'(0'(x1)))))))))))))))))) [1]
   2'(c_2(c_0(c_3(c_1(c_2(c_0(c_3(c_1(c_2(c_1(c_3(c_0(c_1(c_0(c_3(c_0(c_0(x1)))))))))))))))))) -> 2'(3'(2'(2'(1'(3'(0'(3'(0'(1'(3'(0'(0'(0'(1'(1'(2'(0'(x1)))))))))))))))))) [1]
   3'(c_1(c_2(c_3(c_2(c_0(c_2(c_3(c_1(c_1(c_1(c_3(c_3(c_2(c_0(c_0(c_0(c_3(x1)))))))))))))))))) -> 3'(1'(3'(2'(1'(3'(0'(2'(1'(0'(0'(2'(3'(1'(2'(3'(3'(0'(x1)))))))))))))))))) [1]
   1'(c_0(c_3(c_0(c_3(c_1(c_0(c_3(c_3(c_1(c_2(c_1(c_3(c_2(c_0(c_2(c_1(c_0(x1)))))))))))))))))) -> 2'(2'(1'(3'(0'(0'(1'(3'(1'(0'(2'(0'(0'(3'(3'(3'(1'(1'(x1)))))))))))))))))) [1]
   3'(c_2(c_3(c_2(c_2(c_0(c_3(c_3(c_2(c_0(c_1(c_0(c_0(c_2(c_0(c_1(c_1(c_1(x1)))))))))))))))))) -> 3'(0'(1'(3'(2'(0'(3'(0'(1'(2'(3'(0'(2'(0'(2'(2'(1'(1'(x1)))))))))))))))))) [1]
   0'(c_1(c_2(c_3(c_2(c_1(c_0(c_1(c_2(c_2(c_0(c_0(c_1(c_0(c_3(c_1(c_0(c_1(x1)))))))))))))))))) -> 0'(2'(1'(1'(1'(0'(2'(2'(0'(0'(1'(1'(0'(3'(0'(1'(3'(2'(x1)))))))))))))))))) [1]
   1'(c_2(c_3(c_0(c_3(c_2(c_0(c_2(c_0(c_2(c_0(c_3(c_2(c_0(c_2(c_2(c_0(c_0(x1)))))))))))))))))) -> 1'(2'(2'(2'(0'(3'(3'(0'(0'(2'(0'(0'(0'(2'(2'(2'(3'(0'(x1)))))))))))))))))) [1]
   0'(c_2(c_1(c_0(c_3(c_0(c_3(c_0(c_3(c_2(c_0(c_1(c_0(c_1(c_2(c_2(c_1(c_1(x1)))))))))))))))))) -> 0'(2'(3'(0'(3'(2'(2'(1'(2'(1'(1'(0'(0'(3'(0'(0'(1'(1'(x1)))))))))))))))))) [1]
   2'(c_2(c_3(c_3(c_1(c_3(c_1(c_1(c_0(c_1(c_2(c_2(c_0(c_3(c_2(c_0(c_3(c_3(x1)))))))))))))))))) -> 2'(2'(3'(1'(3'(2'(1'(3'(3'(1'(0'(0'(2'(3'(3'(1'(0'(2'(x1)))))))))))))))))) [1]
   1'(c_1(c_3(c_2(c_0(c_2(c_3(c_1(c_0(c_1(c_0(c_2(c_3(c_3(c_2(c_2(c_0(c_0(x1)))))))))))))))))) -> 2'(0'(2'(3'(2'(0'(2'(0'(1'(2'(1'(3'(0'(1'(3'(0'(1'(3'(x1)))))))))))))))))) [1]
   1'(c_0(c_3(c_3(c_1(c_0(c_3(c_3(c_3(c_1(c_1(c_3(c_2(c_0(c_0(c_1(c_3(c_1(x1)))))))))))))))))) -> 1'(3'(3'(0'(1'(3'(3'(0'(1'(3'(3'(0'(1'(3'(2'(1'(0'(1'(x1)))))))))))))))))) [1]
   3'(c_3(c_1(c_2(c_2(c_2(c_3(c_3(c_3(c_1(c_3(c_0(c_1(c_1(c_1(c_2(c_1(c_0(x1)))))))))))))))))) -> 3'(3'(3'(1'(2'(3'(1'(3'(0'(2'(2'(1'(3'(0'(2'(1'(1'(1'(x1)))))))))))))))))) [1]
   0'(c_0(c_2(c_2(c_1(c_3(c_2(c_2(c_2(c_1(c_0(c_2(c_2(c_0(c_2(c_2(c_0(c_0(x1)))))))))))))))))) -> 0'(2'(2'(2'(2'(1'(3'(0'(0'(2'(1'(0'(2'(2'(2'(2'(0'(0'(x1)))))))))))))))))) [1]
   1'(c_2(c_1(c_3(c_2(c_3(c_3(c_1(c_1(c_1(c_0(c_1(c_0(c_0(c_3(c_2(c_0(c_3(x1)))))))))))))))))) -> 1'(3'(3'(2'(3'(0'(2'(1'(3'(1'(1'(3'(1'(2'(1'(0'(0'(0'(x1)))))))))))))))))) [1]
   3'(c_1(c_1(c_0(c_3(c_0(c_1(c_1(c_3(c_2(c_1(c_2(c_3(c_3(c_1(c_3(c_3(c_1(x1)))))))))))))))))) -> 3'(1'(3'(2'(1'(1'(1'(3'(3'(0'(3'(2'(1'(3'(0'(1'(3'(1'(x1)))))))))))))))))) [1]
   0'(c_3(c_1(c_1(c_2(c_3(c_0(c_3(c_0(c_1(c_0(c_1(c_2(c_2(c_1(c_0(c_2(c_2(x1)))))))))))))))))) -> 0'(0'(1'(3'(0'(0'(2'(2'(2'(3'(2'(1'(1'(1'(1'(0'(3'(2'(x1)))))))))))))))))) [1]
   1'(c_2(c_1(c_0(c_3(c_1(c_3(c_3(c_2(c_2(c_2(c_2(c_0(c_0(c_3(c_1(c_0(c_1(x1)))))))))))))))))) -> 3'(1'(2'(0'(1'(3'(2'(3'(2'(2'(0'(0'(0'(2'(3'(1'(1'(1'(x1)))))))))))))))))) [1]
   1'(c_2(c_3(c_3(c_1(c_2(c_2(c_2(c_1(c_0(c_1(c_2(c_0(c_1(c_3(c_2(c_0(c_1(x1)))))))))))))))))) -> 3'(3'(0'(0'(2'(0'(2'(2'(1'(1'(1'(3'(1'(2'(2'(1'(2'(1'(x1)))))))))))))))))) [1]
   1'(c_0(c_1(c_3(c_2(c_2(c_3(c_2(c_0(c_0(c_1(c_0(c_3(c_2(c_3(c_2(c_3(c_3(x1)))))))))))))))))) -> 1'(3'(3'(1'(2'(2'(0'(3'(0'(0'(1'(3'(0'(2'(2'(3'(2'(3'(x1)))))))))))))))))) [1]
   3'(c_3(c_0(c_1(c_0(c_3(c_2(c_0(c_1(c_1(c_1(c_1(c_3(c_1(c_2(c_3(c_3(c_3(x1)))))))))))))))))) -> 3'(2'(3'(1'(1'(1'(0'(3'(3'(0'(2'(1'(3'(0'(1'(3'(1'(3'(x1)))))))))))))))))) [1]
   2'(c_1(c_3(c_3(c_3(c_1(c_2(c_1(c_2(c_1(c_0(c_0(c_3(c_1(c_3(c_2(c_0(c_0(x1)))))))))))))))))) -> 2'(1'(3'(0'(1'(3'(1'(0'(2'(2'(0'(0'(1'(3'(1'(3'(2'(3'(x1)))))))))))))))))) [1]
   3'(c_3(c_1(c_0(c_3(c_2(c_3(c_0(c_3(c_1(c_0(c_2(c_0(c_3(c_0(c_2(c_2(c_0(x1)))))))))))))))))) -> 3'(3'(3'(2'(0'(3'(0'(3'(0'(1'(0'(0'(1'(3'(0'(2'(2'(2'(x1)))))))))))))))))) [1]
   1'(c_1(c_1(c_3(c_1(c_3(c_1(c_0(c_3(c_2(c_1(c_3(c_2(c_1(c_0(c_3(c_0(c_3(x1)))))))))))))))))) -> 1'(2'(2'(3'(0'(1'(3'(1'(1'(3'(0'(0'(1'(3'(1'(1'(3'(3'(x1)))))))))))))))))) [1]
   3'(c_1(c_2(c_0(c_3(c_2(c_2(c_3(c_2(c_0(c_3(c_3(c_2(c_3(c_3(c_1(c_1(c_3(x1)))))))))))))))))) -> 3'(2'(2'(3'(1'(3'(3'(2'(1'(3'(3'(0'(2'(0'(2'(3'(1'(3'(x1)))))))))))))))))) [1]
   0'(c_1(c_1(c_1(c_1(c_3(c_1(c_1(c_0(c_1(c_3(c_1(c_0(c_2(c_3(c_3(c_3(c_2(x1)))))))))))))))))) -> 0'(2'(0'(1'(3'(1'(1'(3'(1'(0'(1'(3'(2'(1'(3'(1'(1'(3'(x1)))))))))))))))))) [1]
   2'(c_2(c_1(c_0(c_1(c_2(c_0(c_0(c_3(c_0(c_2(c_1(c_1(c_2(c_1(c_2(c_1(c_2(x1)))))))))))))))))) -> 2'(2'(1'(0'(3'(2'(1'(1'(1'(0'(0'(2'(0'(1'(2'(2'(1'(2'(x1)))))))))))))))))) [1]
   3'(c_2(c_0(c_1(c_2(c_1(c_0(c_3(c_3(c_3(c_3(c_1(c_2(c_1(c_1(c_0(c_1(c_0(x1)))))))))))))))))) -> 3'(0'(0'(2'(1'(3'(2'(3'(3'(1'(1'(3'(1'(1'(0'(2'(0'(1'(x1)))))))))))))))))) [1]
   1'(c_3(c_3(c_0(c_1(c_1(c_3(c_2(c_2(c_1(c_1(c_0(c_3(c_1(c_2(c_1(c_0(c_0(x1)))))))))))))))))) -> 1'(3'(1'(1'(0'(0'(1'(1'(2'(1'(3'(0'(2'(3'(1'(0'(2'(3'(x1)))))))))))))))))) [1]
   2'(c_3(c_3(c_2(c_3(c_1(c_0(c_1(c_1(c_1(c_3(c_1(c_0(c_1(c_0(c_3(c_2(c_0(x1)))))))))))))))))) -> 2'(1'(0'(0'(1'(2'(3'(1'(1'(3'(3'(3'(1'(1'(3'(2'(0'(0'(x1)))))))))))))))))) [1]
   1'(c_1(c_1(c_1(c_0(c_1(c_3(c_2(c_1(c_1(c_2(c_2(c_0(c_2(c_2(c_3(c_0(c_2(x1)))))))))))))))))) -> 1'(1'(1'(2'(3'(0'(2'(2'(1'(1'(1'(2'(3'(0'(1'(2'(0'(2'(x1)))))))))))))))))) [1]
   1'(c_1(c_3(c_3(c_2(c_1(c_3(c_3(c_2(c_0(c_1(c_3(c_3(c_3(c_0(c_3(c_2(c_1(x1)))))))))))))))))) -> 1'(3'(1'(3'(0'(3'(3'(3'(1'(3'(3'(2'(3'(1'(2'(0'(2'(1'(x1)))))))))))))))))) [1]
   1'(c_0(c_2(c_3(c_1(c_2(c_3(c_1(c_2(c_3(c_2(c_3(c_2(c_1(c_2(c_2(c_2(c_2(x1)))))))))))))))))) -> 2'(3'(2'(2'(3'(0'(2'(1'(3'(2'(2'(1'(1'(1'(3'(2'(2'(2'(x1)))))))))))))))))) [1]
   2'(c_0(c_1(c_0(c_2(c_2(c_2(c_2(c_0(c_3(c_2(c_3(c_1(c_2(c_3(c_0(c_3(c_2(x1)))))))))))))))))) -> 2'(0'(2'(0'(2'(2'(3'(0'(3'(3'(1'(3'(0'(1'(2'(2'(2'(2'(x1)))))))))))))))))) [1]
   1'(c_3(c_3(c_2(c_2(c_1(c_0(c_3(c_2(c_1(c_1(c_1(c_2(c_3(c_1(c_0(c_1(c_0(x1)))))))))))))))))) -> 2'(0'(1'(2'(1'(2'(1'(3'(1'(1'(3'(0'(3'(2'(1'(3'(0'(1'(x1)))))))))))))))))) [1]
   2'(c_1(c_2(c_3(c_3(c_3(c_0(c_2(c_0(c_0(c_2(c_2(c_1(c_0(c_2(c_0(c_2(c_0(x1)))))))))))))))))) -> 0'(3'(0'(2'(2'(2'(1'(3'(0'(0'(1'(3'(0'(0'(2'(2'(2'(2'(x1)))))))))))))))))) [1]
   0'(c_3(c_0(c_1(c_0(c_3(c_0(c_1(c_1(c_1(c_2(c_0(c_0(c_0(c_3(c_2(c_1(c_0(x1)))))))))))))))))) -> 0'(0'(2'(2'(1'(3'(0'(0'(1'(3'(0'(1'(0'(1'(0'(0'(1'(3'(x1)))))))))))))))))) [1]
   2'(c_2(c_0(c_0(c_2(c_1(c_1(c_2(c_1(c_2(c_0(c_1(c_2(c_2(c_2(c_2(c_2(c_2(x1)))))))))))))))))) -> 2'(2'(2'(2'(1'(1'(0'(2'(1'(1'(2'(2'(0'(2'(0'(2'(2'(2'(x1)))))))))))))))))) [1]
   2'(c_2(c_1(c_1(c_3(c_1(c_0(c_0(c_1(c_2(c_3(c_2(c_3(c_1(c_0(c_1(c_1(c_0(x1)))))))))))))))))) -> 0'(1'(2'(2'(3'(1'(0'(2'(1'(3'(2'(1'(1'(3'(0'(1'(1'(0'(x1)))))))))))))))))) [1]
   2'(c_3(c_1(c_0(c_2(c_3(c_1(c_0(c_0(c_1(c_0(c_1(c_0(c_1(c_2(c_2(c_1(c_0(x1)))))))))))))))))) -> 2'(0'(3'(1'(0'(1'(0'(1'(2'(0'(2'(2'(1'(3'(0'(0'(1'(1'(x1)))))))))))))))))) [1]
   1'(c_2(c_3(c_1(c_1(c_0(c_0(c_3(c_3(c_0(c_2(c_1(c_3(c_3(c_0(c_3(c_2(c_3(x1)))))))))))))))))) -> 3'(1'(3'(0'(2'(3'(3'(1'(3'(0'(2'(1'(2'(0'(0'(1'(3'(3'(x1)))))))))))))))))) [1]
   2'(c_0(c_0(c_3(c_1(c_2(c_3(c_2(c_0(c_2(c_3(c_0(c_1(c_2(c_2(c_0(c_0(c_2(x1)))))))))))))))))) -> 2'(0'(2'(3'(1'(3'(0'(0'(3'(2'(0'(1'(0'(2'(0'(2'(2'(2'(x1)))))))))))))))))) [1]
   2'(c_2(c_1(c_1(c_2(c_3(c_1(c_2(c_1(c_3(c_1(c_0(c_2(c_2(c_0(c_3(c_1(c_1(x1)))))))))))))))))) -> 2'(2'(1'(2'(3'(1'(1'(3'(1'(2'(2'(1'(0'(0'(2'(1'(3'(1'(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_2(x_1) -> 2'(encArg(x_1)) [0]
   encode_1(x_1) -> 1'(encArg(x_1)) [0]
   encode_3(x_1) -> 3'(encArg(x_1)) [0]
   0'(x0) -> c_0(x0) [0]
   1'(x0) -> c_1(x0) [0]
   2'(x0) -> c_2(x0) [0]
   3'(x0) -> c_3(x0) [0]

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

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

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

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

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

(c) The following functions are completely defined:

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

Due to the following rules being added:

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

And the following fresh constants:    const, const1

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

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

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

   2'(c_2(c_2(c_2(c_1(c_1(c_0(c_1(c_1(c_2(c_2(c_0(c_0(c_1(c_2(c_2(c_1(c_1(x1)))))))))))))))))) -> 0'(2'(1'(2'(0'(2'(0'(2'(2'(1'(2'(2'(2'(1'(1'(1'(1'(1'(x1)))))))))))))))))) [1]
   1'(c_0(c_1(c_0(c_2(c_0(c_2(c_3(c_1(c_1(c_2(c_2(c_0(c_0(c_3(c_0(c_3(c_2(x1)))))))))))))))))) -> 0'(0'(0'(1'(1'(3'(1'(3'(2'(0'(0'(2'(2'(1'(3'(0'(2'(2'(x1)))))))))))))))))) [1]
   0'(c_2(c_3(c_0(c_1(c_2(c_3(c_2(c_0(c_3(c_1(c_0(c_0(c_0(c_3(c_3(c_0(c_3(x1)))))))))))))))))) -> 0'(2'(1'(3'(0'(0'(3'(3'(0'(1'(0'(2'(2'(3'(3'(0'(0'(3'(x1)))))))))))))))))) [1]
   1'(c_2(c_0(c_0(c_2(c_1(c_3(c_2(c_2(c_3(c_2(c_2(c_0(c_3(c_2(c_3(c_2(c_2(x1)))))))))))))))))) -> 1'(2'(0'(3'(2'(2'(2'(2'(3'(0'(0'(2'(2'(2'(3'(1'(3'(2'(x1)))))))))))))))))) [1]
   1'(c_0(c_2(c_3(c_3(c_3(c_1(c_0(c_2(c_0(c_1(c_2(c_2(c_3(c_2(c_1(c_0(c_1(x1)))))))))))))))))) -> 2'(3'(2'(1'(0'(1'(3'(1'(3'(0'(2'(3'(0'(2'(0'(1'(2'(1'(x1)))))))))))))))))) [1]
   2'(c_0(c_1(c_3(c_3(c_3(c_3(c_3(c_1(c_1(c_3(c_2(c_0(c_1(c_0(c_0(c_1(c_0(x1)))))))))))))))))) -> 1'(3'(0'(2'(1'(1'(3'(0'(2'(3'(0'(0'(3'(1'(3'(3'(1'(0'(x1)))))))))))))))))) [1]
   2'(c_3(c_2(c_1(c_0(c_0(c_0(c_2(c_3(c_2(c_3(c_0(c_3(c_0(c_2(c_1(c_1(c_2(x1)))))))))))))))))) -> 2'(2'(3'(0'(3'(0'(2'(1'(0'(2'(2'(0'(1'(3'(1'(3'(0'(2'(x1)))))))))))))))))) [1]
   2'(c_1(c_2(c_2(c_3(c_2(c_3(c_0(c_1(c_3(c_2(c_1(c_1(c_3(c_3(c_2(c_2(c_2(x1)))))))))))))))))) -> 2'(1'(1'(1'(3'(2'(3'(2'(2'(3'(0'(2'(3'(2'(1'(3'(2'(2'(x1)))))))))))))))))) [1]
   2'(c_1(c_2(c_2(c_2(c_0(c_2(c_1(c_2(c_3(c_0(c_0(c_3(c_1(c_2(c_2(c_1(c_3(x1)))))))))))))))))) -> 0'(2'(0'(2'(1'(3'(2'(2'(1'(3'(2'(2'(1'(3'(0'(2'(1'(2'(x1)))))))))))))))))) [1]
   1'(c_1(c_1(c_2(c_1(c_1(c_1(c_2(c_1(c_3(c_1(c_0(c_1(c_2(c_1(c_2(c_3(c_1(x1)))))))))))))))))) -> 1'(1'(1'(1'(1'(1'(3'(0'(2'(2'(1'(1'(1'(2'(3'(1'(2'(1'(x1)))))))))))))))))) [1]
   2'(c_0(c_3(c_0(c_3(c_2(c_3(c_2(c_1(c_0(c_1(c_2(c_2(c_0(c_0(c_0(c_1(c_2(x1)))))))))))))))))) -> 0'(2'(2'(1'(2'(0'(1'(2'(0'(3'(0'(0'(2'(1'(3'(0'(3'(2'(x1)))))))))))))))))) [1]
   2'(c_3(c_0(c_2(c_0(c_3(c_2(c_0(c_2(c_3(c_2(c_1(c_2(c_2(c_2(c_3(c_0(c_3(x1)))))))))))))))))) -> 2'(3'(2'(3'(3'(0'(0'(2'(2'(2'(1'(3'(2'(0'(2'(3'(2'(0'(x1)))))))))))))))))) [1]
   2'(c_3(c_1(c_0(c_1(c_0(c_1(c_2(c_1(c_0(c_3(c_1(c_0(c_3(c_1(c_2(c_2(c_3(x1)))))))))))))))))) -> 2'(1'(2'(1'(1'(0'(1'(0'(2'(3'(0'(0'(3'(3'(3'(1'(1'(2'(x1)))))))))))))))))) [1]
   2'(c_1(c_0(c_1(c_1(c_3(c_3(c_0(c_1(c_0(c_1(c_2(c_3(c_3(c_0(c_3(c_2(c_2(x1)))))))))))))))))) -> 0'(3'(3'(1'(3'(3'(0'(2'(1'(1'(3'(1'(0'(2'(1'(2'(0'(2'(x1)))))))))))))))))) [1]
   2'(c_3(c_1(c_1(c_0(c_3(c_1(c_2(c_1(c_0(c_1(c_3(c_2(c_0(c_1(c_2(c_1(c_1(x1)))))))))))))))))) -> 2'(3'(2'(0'(1'(1'(1'(3'(2'(1'(1'(3'(0'(0'(1'(1'(2'(1'(x1)))))))))))))))))) [1]
   1'(c_1(c_0(c_3(c_1(c_0(c_2(c_3(c_1(c_1(c_0(c_3(c_3(c_0(c_3(c_1(c_1(c_1(x1)))))))))))))))))) -> 1'(1'(3'(1'(3'(2'(3'(0'(1'(0'(3'(0'(1'(3'(1'(0'(1'(1'(x1)))))))))))))))))) [1]
   0'(c_1(c_0(c_2(c_1(c_1(c_0(c_0(c_1(c_0(c_3(c_1(c_1(c_0(c_2(c_1(c_2(c_3(x1)))))))))))))))))) -> 0'(1'(2'(0'(0'(2'(1'(1'(0'(1'(1'(1'(0'(1'(3'(0'(2'(3'(x1)))))))))))))))))) [1]
   2'(c_1(c_2(c_2(c_2(c_1(c_3(c_2(c_0(c_0(c_2(c_3(c_2(c_3(c_3(c_3(c_0(c_3(x1)))))))))))))))))) -> 2'(3'(3'(1'(3'(2'(0'(3'(2'(1'(3'(0'(2'(2'(2'(2'(3'(0'(x1)))))))))))))))))) [1]
   2'(c_2(c_1(c_2(c_3(c_2(c_0(c_2(c_0(c_3(c_1(c_0(c_1(c_1(c_0(c_1(c_3(c_3(x1)))))))))))))))))) -> 2'(2'(0'(1'(2'(0'(1'(2'(3'(1'(0'(2'(0'(1'(3'(1'(3'(3'(x1)))))))))))))))))) [1]
   3'(c_1(c_0(c_0(c_3(c_0(c_3(c_2(c_3(c_2(c_3(c_0(c_1(c_0(c_1(c_1(c_2(c_3(x1)))))))))))))))))) -> 3'(0'(1'(3'(2'(3'(3'(1'(1'(0'(2'(0'(0'(3'(1'(3'(0'(2'(x1)))))))))))))))))) [1]
   1'(c_3(c_2(c_2(c_1(c_0(c_1(c_2(c_1(c_0(c_3(c_1(c_0(c_3(c_2(c_3(c_0(c_3(x1)))))))))))))))))) -> 3'(1'(3'(2'(1'(1'(0'(0'(2'(0'(0'(3'(1'(3'(2'(2'(1'(3'(x1)))))))))))))))))) [1]
   1'(c_2(c_1(c_2(c_1(c_2(c_0(c_1(c_0(c_1(c_3(c_1(c_0(c_0(c_0(c_1(c_3(c_3(x1)))))))))))))))))) -> 1'(1'(2'(2'(1'(0'(1'(3'(0'(1'(1'(3'(0'(2'(1'(3'(0'(0'(x1)))))))))))))))))) [1]
   1'(c_2(c_0(c_1(c_2(c_1(c_0(c_2(c_0(c_0(c_3(c_1(c_0(c_2(c_0(c_3(c_2(c_2(x1)))))))))))))))))) -> 1'(1'(0'(0'(0'(2'(1'(0'(2'(0'(3'(2'(2'(1'(0'(2'(3'(2'(x1)))))))))))))))))) [1]
   2'(c_1(c_1(c_1(c_0(c_2(c_2(c_2(c_1(c_0(c_2(c_0(c_0(c_2(c_2(c_2(c_2(c_1(x1)))))))))))))))))) -> 2'(2'(2'(2'(1'(1'(2'(0'(1'(0'(0'(0'(2'(1'(2'(2'(2'(1'(x1)))))))))))))))))) [1]
   3'(c_0(c_3(c_1(c_0(c_1(c_0(c_3(c_3(c_1(c_0(c_3(c_2(c_3(c_3(c_2(c_0(c_3(x1)))))))))))))))))) -> 1'(3'(0'(2'(0'(0'(3'(3'(2'(1'(3'(0'(3'(3'(1'(3'(3'(0'(x1)))))))))))))))))) [1]
   0'(c_1(c_0(c_3(c_2(c_0(c_0(c_0(c_3(c_3(c_0(c_2(c_2(c_2(c_2(c_1(c_1(c_1(x1)))))))))))))))))) -> 0'(0'(1'(1'(3'(0'(3'(0'(0'(2'(2'(2'(0'(2'(2'(1'(3'(1'(x1)))))))))))))))))) [1]
   1'(c_3(c_1(c_1(c_0(c_1(c_2(c_1(c_1(c_1(c_0(c_3(c_1(c_1(c_0(c_2(c_3(c_1(x1)))))))))))))))))) -> 1'(1'(3'(2'(1'(3'(1'(1'(0'(0'(1'(3'(2'(1'(0'(1'(1'(1'(x1)))))))))))))))))) [1]
   1'(c_3(c_1(c_3(c_2(c_0(c_1(c_3(c_1(c_1(c_3(c_2(c_3(c_3(c_3(c_3(c_0(c_1(x1)))))))))))))))))) -> 1'(3'(3'(3'(1'(2'(3'(1'(3'(0'(2'(1'(1'(3'(0'(3'(3'(1'(x1)))))))))))))))))) [1]
   0'(c_0(c_3(c_1(c_0(c_2(c_2(c_0(c_2(c_3(c_1(c_1(c_0(c_1(c_2(c_2(c_0(c_1(x1)))))))))))))))))) -> 0'(2'(1'(1'(3'(0'(0'(0'(1'(0'(2'(3'(1'(2'(2'(0'(2'(1'(x1)))))))))))))))))) [1]
   1'(c_0(c_0(c_0(c_1(c_2(c_3(c_3(c_2(c_2(c_1(c_0(c_2(c_3(c_3(c_2(c_0(c_3(x1)))))))))))))))))) -> 3'(0'(2'(1'(1'(3'(3'(1'(0'(0'(2'(0'(2'(2'(3'(2'(0'(3'(x1)))))))))))))))))) [1]
   1'(c_1(c_0(c_0(c_1(c_2(c_1(c_2(c_2(c_0(c_3(c_1(c_2(c_3(c_2(c_0(c_0(c_3(x1)))))))))))))))))) -> 1'(2'(2'(0'(2'(1'(0'(2'(1'(0'(0'(2'(3'(0'(1'(1'(3'(3'(x1)))))))))))))))))) [1]
   1'(c_2(c_0(c_2(c_0(c_0(c_0(c_3(c_0(c_1(c_0(c_1(c_1(c_0(c_3(c_1(c_0(c_3(x1)))))))))))))))))) -> 1'(3'(0'(3'(1'(1'(0'(1'(1'(0'(0'(0'(2'(2'(3'(0'(0'(0'(x1)))))))))))))))))) [1]
   0'(c_3(c_2(c_0(c_3(c_1(c_0(c_1(c_0(c_3(c_0(c_3(c_0(c_0(c_3(c_0(c_0(c_0(x1)))))))))))))))))) -> 0'(3'(0'(0'(0'(0'(1'(2'(0'(3'(3'(0'(0'(3'(0'(1'(3'(0'(x1)))))))))))))))))) [1]
   2'(c_3(c_2(c_2(c_2(c_3(c_0(c_3(c_1(c_0(c_3(c_2(c_1(c_1(c_2(c_0(c_2(c_3(x1)))))))))))))))))) -> 2'(2'(1'(1'(0'(1'(2'(3'(3'(0'(3'(3'(2'(2'(2'(0'(2'(3'(x1)))))))))))))))))) [1]
   1'(c_1(c_0(c_3(c_1(c_0(c_3(c_3(c_3(c_1(c_1(c_2(c_2(c_2(c_2(c_0(c_1(c_2(x1)))))))))))))))))) -> 2'(1'(1'(0'(0'(1'(1'(2'(3'(3'(3'(0'(1'(2'(3'(2'(1'(2'(x1)))))))))))))))))) [1]
   2'(c_2(c_3(c_1(c_2(c_3(c_0(c_3(c_1(c_1(c_1(c_0(c_1(c_1(c_0(c_1(c_3(c_1(x1)))))))))))))))))) -> 2'(3'(1'(1'(2'(0'(1'(3'(1'(1'(0'(1'(1'(3'(1'(3'(0'(2'(x1)))))))))))))))))) [1]
   3'(c_0(c_1(c_0(c_1(c_2(c_3(c_3(c_1(c_2(c_3(c_2(c_1(c_1(c_1(c_3(c_3(c_0(x1)))))))))))))))))) -> 3'(0'(1'(2'(1'(3'(3'(1'(3'(0'(1'(3'(1'(2'(0'(1'(3'(2'(x1)))))))))))))))))) [1]
   1'(c_3(c_3(c_0(c_0(c_3(c_3(c_1(c_0(c_0(c_2(c_3(c_3(c_1(c_3(c_2(c_3(c_1(x1)))))))))))))))))) -> 1'(3'(0'(0'(1'(3'(0'(1'(3'(3'(2'(2'(3'(3'(3'(3'(0'(1'(x1)))))))))))))))))) [1]
   1'(c_2(c_3(c_3(c_2(c_1(c_0(c_3(c_2(c_2(c_1(c_0(c_3(c_1(c_0(c_0(c_0(c_0(x1)))))))))))))))))) -> 0'(3'(0'(1'(2'(1'(3'(0'(1'(0'(2'(1'(2'(3'(3'(0'(2'(0'(x1)))))))))))))))))) [1]
   2'(c_2(c_0(c_3(c_1(c_2(c_0(c_3(c_1(c_2(c_1(c_3(c_0(c_1(c_0(c_3(c_0(c_0(x1)))))))))))))))))) -> 2'(3'(2'(2'(1'(3'(0'(3'(0'(1'(3'(0'(0'(0'(1'(1'(2'(0'(x1)))))))))))))))))) [1]
   3'(c_1(c_2(c_3(c_2(c_0(c_2(c_3(c_1(c_1(c_1(c_3(c_3(c_2(c_0(c_0(c_0(c_3(x1)))))))))))))))))) -> 3'(1'(3'(2'(1'(3'(0'(2'(1'(0'(0'(2'(3'(1'(2'(3'(3'(0'(x1)))))))))))))))))) [1]
   1'(c_0(c_3(c_0(c_3(c_1(c_0(c_3(c_3(c_1(c_2(c_1(c_3(c_2(c_0(c_2(c_1(c_0(x1)))))))))))))))))) -> 2'(2'(1'(3'(0'(0'(1'(3'(1'(0'(2'(0'(0'(3'(3'(3'(1'(1'(x1)))))))))))))))))) [1]
   3'(c_2(c_3(c_2(c_2(c_0(c_3(c_3(c_2(c_0(c_1(c_0(c_0(c_2(c_0(c_1(c_1(c_1(x1)))))))))))))))))) -> 3'(0'(1'(3'(2'(0'(3'(0'(1'(2'(3'(0'(2'(0'(2'(2'(1'(1'(x1)))))))))))))))))) [1]
   0'(c_1(c_2(c_3(c_2(c_1(c_0(c_1(c_2(c_2(c_0(c_0(c_1(c_0(c_3(c_1(c_0(c_1(x1)))))))))))))))))) -> 0'(2'(1'(1'(1'(0'(2'(2'(0'(0'(1'(1'(0'(3'(0'(1'(3'(2'(x1)))))))))))))))))) [1]
   1'(c_2(c_3(c_0(c_3(c_2(c_0(c_2(c_0(c_2(c_0(c_3(c_2(c_0(c_2(c_2(c_0(c_0(x1)))))))))))))))))) -> 1'(2'(2'(2'(0'(3'(3'(0'(0'(2'(0'(0'(0'(2'(2'(2'(3'(0'(x1)))))))))))))))))) [1]
   0'(c_2(c_1(c_0(c_3(c_0(c_3(c_0(c_3(c_2(c_0(c_1(c_0(c_1(c_2(c_2(c_1(c_1(x1)))))))))))))))))) -> 0'(2'(3'(0'(3'(2'(2'(1'(2'(1'(1'(0'(0'(3'(0'(0'(1'(1'(x1)))))))))))))))))) [1]
   2'(c_2(c_3(c_3(c_1(c_3(c_1(c_1(c_0(c_1(c_2(c_2(c_0(c_3(c_2(c_0(c_3(c_3(x1)))))))))))))))))) -> 2'(2'(3'(1'(3'(2'(1'(3'(3'(1'(0'(0'(2'(3'(3'(1'(0'(2'(x1)))))))))))))))))) [1]
   1'(c_1(c_3(c_2(c_0(c_2(c_3(c_1(c_0(c_1(c_0(c_2(c_3(c_3(c_2(c_2(c_0(c_0(x1)))))))))))))))))) -> 2'(0'(2'(3'(2'(0'(2'(0'(1'(2'(1'(3'(0'(1'(3'(0'(1'(3'(x1)))))))))))))))))) [1]
   1'(c_0(c_3(c_3(c_1(c_0(c_3(c_3(c_3(c_1(c_1(c_3(c_2(c_0(c_0(c_1(c_3(c_1(x1)))))))))))))))))) -> 1'(3'(3'(0'(1'(3'(3'(0'(1'(3'(3'(0'(1'(3'(2'(1'(0'(1'(x1)))))))))))))))))) [1]
   3'(c_3(c_1(c_2(c_2(c_2(c_3(c_3(c_3(c_1(c_3(c_0(c_1(c_1(c_1(c_2(c_1(c_0(x1)))))))))))))))))) -> 3'(3'(3'(1'(2'(3'(1'(3'(0'(2'(2'(1'(3'(0'(2'(1'(1'(1'(x1)))))))))))))))))) [1]
   0'(c_0(c_2(c_2(c_1(c_3(c_2(c_2(c_2(c_1(c_0(c_2(c_2(c_0(c_2(c_2(c_0(c_0(x1)))))))))))))))))) -> 0'(2'(2'(2'(2'(1'(3'(0'(0'(2'(1'(0'(2'(2'(2'(2'(0'(0'(x1)))))))))))))))))) [1]
   1'(c_2(c_1(c_3(c_2(c_3(c_3(c_1(c_1(c_1(c_0(c_1(c_0(c_0(c_3(c_2(c_0(c_3(x1)))))))))))))))))) -> 1'(3'(3'(2'(3'(0'(2'(1'(3'(1'(1'(3'(1'(2'(1'(0'(0'(0'(x1)))))))))))))))))) [1]
   3'(c_1(c_1(c_0(c_3(c_0(c_1(c_1(c_3(c_2(c_1(c_2(c_3(c_3(c_1(c_3(c_3(c_1(x1)))))))))))))))))) -> 3'(1'(3'(2'(1'(1'(1'(3'(3'(0'(3'(2'(1'(3'(0'(1'(3'(1'(x1)))))))))))))))))) [1]
   0'(c_3(c_1(c_1(c_2(c_3(c_0(c_3(c_0(c_1(c_0(c_1(c_2(c_2(c_1(c_0(c_2(c_2(x1)))))))))))))))))) -> 0'(0'(1'(3'(0'(0'(2'(2'(2'(3'(2'(1'(1'(1'(1'(0'(3'(2'(x1)))))))))))))))))) [1]
   1'(c_2(c_1(c_0(c_3(c_1(c_3(c_3(c_2(c_2(c_2(c_2(c_0(c_0(c_3(c_1(c_0(c_1(x1)))))))))))))))))) -> 3'(1'(2'(0'(1'(3'(2'(3'(2'(2'(0'(0'(0'(2'(3'(1'(1'(1'(x1)))))))))))))))))) [1]
   1'(c_2(c_3(c_3(c_1(c_2(c_2(c_2(c_1(c_0(c_1(c_2(c_0(c_1(c_3(c_2(c_0(c_1(x1)))))))))))))))))) -> 3'(3'(0'(0'(2'(0'(2'(2'(1'(1'(1'(3'(1'(2'(2'(1'(2'(1'(x1)))))))))))))))))) [1]
   1'(c_0(c_1(c_3(c_2(c_2(c_3(c_2(c_0(c_0(c_1(c_0(c_3(c_2(c_3(c_2(c_3(c_3(x1)))))))))))))))))) -> 1'(3'(3'(1'(2'(2'(0'(3'(0'(0'(1'(3'(0'(2'(2'(3'(2'(3'(x1)))))))))))))))))) [1]
   3'(c_3(c_0(c_1(c_0(c_3(c_2(c_0(c_1(c_1(c_1(c_1(c_3(c_1(c_2(c_3(c_3(c_3(x1)))))))))))))))))) -> 3'(2'(3'(1'(1'(1'(0'(3'(3'(0'(2'(1'(3'(0'(1'(3'(1'(3'(x1)))))))))))))))))) [1]
   2'(c_1(c_3(c_3(c_3(c_1(c_2(c_1(c_2(c_1(c_0(c_0(c_3(c_1(c_3(c_2(c_0(c_0(x1)))))))))))))))))) -> 2'(1'(3'(0'(1'(3'(1'(0'(2'(2'(0'(0'(1'(3'(1'(3'(2'(3'(x1)))))))))))))))))) [1]
   3'(c_3(c_1(c_0(c_3(c_2(c_3(c_0(c_3(c_1(c_0(c_2(c_0(c_3(c_0(c_2(c_2(c_0(x1)))))))))))))))))) -> 3'(3'(3'(2'(0'(3'(0'(3'(0'(1'(0'(0'(1'(3'(0'(2'(2'(2'(x1)))))))))))))))))) [1]
   1'(c_1(c_1(c_3(c_1(c_3(c_1(c_0(c_3(c_2(c_1(c_3(c_2(c_1(c_0(c_3(c_0(c_3(x1)))))))))))))))))) -> 1'(2'(2'(3'(0'(1'(3'(1'(1'(3'(0'(0'(1'(3'(1'(1'(3'(3'(x1)))))))))))))))))) [1]
   3'(c_1(c_2(c_0(c_3(c_2(c_2(c_3(c_2(c_0(c_3(c_3(c_2(c_3(c_3(c_1(c_1(c_3(x1)))))))))))))))))) -> 3'(2'(2'(3'(1'(3'(3'(2'(1'(3'(3'(0'(2'(0'(2'(3'(1'(3'(x1)))))))))))))))))) [1]
   0'(c_1(c_1(c_1(c_1(c_3(c_1(c_1(c_0(c_1(c_3(c_1(c_0(c_2(c_3(c_3(c_3(c_2(x1)))))))))))))))))) -> 0'(2'(0'(1'(3'(1'(1'(3'(1'(0'(1'(3'(2'(1'(3'(1'(1'(3'(x1)))))))))))))))))) [1]
   2'(c_2(c_1(c_0(c_1(c_2(c_0(c_0(c_3(c_0(c_2(c_1(c_1(c_2(c_1(c_2(c_1(c_2(x1)))))))))))))))))) -> 2'(2'(1'(0'(3'(2'(1'(1'(1'(0'(0'(2'(0'(1'(2'(2'(1'(2'(x1)))))))))))))))))) [1]
   3'(c_2(c_0(c_1(c_2(c_1(c_0(c_3(c_3(c_3(c_3(c_1(c_2(c_1(c_1(c_0(c_1(c_0(x1)))))))))))))))))) -> 3'(0'(0'(2'(1'(3'(2'(3'(3'(1'(1'(3'(1'(1'(0'(2'(0'(1'(x1)))))))))))))))))) [1]
   1'(c_3(c_3(c_0(c_1(c_1(c_3(c_2(c_2(c_1(c_1(c_0(c_3(c_1(c_2(c_1(c_0(c_0(x1)))))))))))))))))) -> 1'(3'(1'(1'(0'(0'(1'(1'(2'(1'(3'(0'(2'(3'(1'(0'(2'(3'(x1)))))))))))))))))) [1]
   2'(c_3(c_3(c_2(c_3(c_1(c_0(c_1(c_1(c_1(c_3(c_1(c_0(c_1(c_0(c_3(c_2(c_0(x1)))))))))))))))))) -> 2'(1'(0'(0'(1'(2'(3'(1'(1'(3'(3'(3'(1'(1'(3'(2'(0'(0'(x1)))))))))))))))))) [1]
   1'(c_1(c_1(c_1(c_0(c_1(c_3(c_2(c_1(c_1(c_2(c_2(c_0(c_2(c_2(c_3(c_0(c_2(x1)))))))))))))))))) -> 1'(1'(1'(2'(3'(0'(2'(2'(1'(1'(1'(2'(3'(0'(1'(2'(0'(2'(x1)))))))))))))))))) [1]
   1'(c_1(c_3(c_3(c_2(c_1(c_3(c_3(c_2(c_0(c_1(c_3(c_3(c_3(c_0(c_3(c_2(c_1(x1)))))))))))))))))) -> 1'(3'(1'(3'(0'(3'(3'(3'(1'(3'(3'(2'(3'(1'(2'(0'(2'(1'(x1)))))))))))))))))) [1]
   1'(c_0(c_2(c_3(c_1(c_2(c_3(c_1(c_2(c_3(c_2(c_3(c_2(c_1(c_2(c_2(c_2(c_2(x1)))))))))))))))))) -> 2'(3'(2'(2'(3'(0'(2'(1'(3'(2'(2'(1'(1'(1'(3'(2'(2'(2'(x1)))))))))))))))))) [1]
   2'(c_0(c_1(c_0(c_2(c_2(c_2(c_2(c_0(c_3(c_2(c_3(c_1(c_2(c_3(c_0(c_3(c_2(x1)))))))))))))))))) -> 2'(0'(2'(0'(2'(2'(3'(0'(3'(3'(1'(3'(0'(1'(2'(2'(2'(2'(x1)))))))))))))))))) [1]
   1'(c_3(c_3(c_2(c_2(c_1(c_0(c_3(c_2(c_1(c_1(c_1(c_2(c_3(c_1(c_0(c_1(c_0(x1)))))))))))))))))) -> 2'(0'(1'(2'(1'(2'(1'(3'(1'(1'(3'(0'(3'(2'(1'(3'(0'(1'(x1)))))))))))))))))) [1]
   2'(c_1(c_2(c_3(c_3(c_3(c_0(c_2(c_0(c_0(c_2(c_2(c_1(c_0(c_2(c_0(c_2(c_0(x1)))))))))))))))))) -> 0'(3'(0'(2'(2'(2'(1'(3'(0'(0'(1'(3'(0'(0'(2'(2'(2'(2'(x1)))))))))))))))))) [1]
   0'(c_3(c_0(c_1(c_0(c_3(c_0(c_1(c_1(c_1(c_2(c_0(c_0(c_0(c_3(c_2(c_1(c_0(x1)))))))))))))))))) -> 0'(0'(2'(2'(1'(3'(0'(0'(1'(3'(0'(1'(0'(1'(0'(0'(1'(3'(x1)))))))))))))))))) [1]
   2'(c_2(c_0(c_0(c_2(c_1(c_1(c_2(c_1(c_2(c_0(c_1(c_2(c_2(c_2(c_2(c_2(c_2(x1)))))))))))))))))) -> 2'(2'(2'(2'(1'(1'(0'(2'(1'(1'(2'(2'(0'(2'(0'(2'(2'(2'(x1)))))))))))))))))) [1]
   2'(c_2(c_1(c_1(c_3(c_1(c_0(c_0(c_1(c_2(c_3(c_2(c_3(c_1(c_0(c_1(c_1(c_0(x1)))))))))))))))))) -> 0'(1'(2'(2'(3'(1'(0'(2'(1'(3'(2'(1'(1'(3'(0'(1'(1'(0'(x1)))))))))))))))))) [1]
   2'(c_3(c_1(c_0(c_2(c_3(c_1(c_0(c_0(c_1(c_0(c_1(c_0(c_1(c_2(c_2(c_1(c_0(x1)))))))))))))))))) -> 2'(0'(3'(1'(0'(1'(0'(1'(2'(0'(2'(2'(1'(3'(0'(0'(1'(1'(x1)))))))))))))))))) [1]
   1'(c_2(c_3(c_1(c_1(c_0(c_0(c_3(c_3(c_0(c_2(c_1(c_3(c_3(c_0(c_3(c_2(c_3(x1)))))))))))))))))) -> 3'(1'(3'(0'(2'(3'(3'(1'(3'(0'(2'(1'(2'(0'(0'(1'(3'(3'(x1)))))))))))))))))) [1]
   2'(c_0(c_0(c_3(c_1(c_2(c_3(c_2(c_0(c_2(c_3(c_0(c_1(c_2(c_2(c_0(c_0(c_2(x1)))))))))))))))))) -> 2'(0'(2'(3'(1'(3'(0'(0'(3'(2'(0'(1'(0'(2'(0'(2'(2'(2'(x1)))))))))))))))))) [1]
   2'(c_2(c_1(c_1(c_2(c_3(c_1(c_2(c_1(c_3(c_1(c_0(c_2(c_2(c_0(c_3(c_1(c_1(x1)))))))))))))))))) -> 2'(2'(1'(2'(3'(1'(1'(3'(1'(2'(2'(1'(0'(0'(2'(1'(3'(1'(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_2(x_1) -> 2'(encArg(x_1)) [0]
   encode_1(x_1) -> 1'(encArg(x_1)) [0]
   encode_3(x_1) -> 3'(encArg(x_1)) [0]
   0'(x0) -> c_0(x0) [0]
   1'(x0) -> c_1(x0) [0]
   2'(x0) -> c_2(x0) [0]
   3'(x0) -> c_3(x0) [0]
   encArg(v0) -> const [0]
   encode_0(v0) -> const [0]
   encode_2(v0) -> const [0]
   encode_1(v0) -> const [0]
   encode_3(v0) -> const [0]
   0'(v0) -> const [0]
   1'(v0) -> const [0]
   2'(v0) -> const [0]
   3'(v0) -> const [0]

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

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

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

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

   2'(c_2(c_2(c_2(c_1(c_1(c_0(c_1(c_1(c_2(c_2(c_0(c_0(c_1(c_2(c_2(c_1(c_1(x1)))))))))))))))))) -> 0'(2'(1'(2'(0'(2'(0'(2'(2'(1'(2'(2'(2'(1'(1'(1'(1'(1'(x1)))))))))))))))))) [1]
   1'(c_0(c_1(c_0(c_2(c_0(c_2(c_3(c_1(c_1(c_2(c_2(c_0(c_0(c_3(c_0(c_3(c_2(x1)))))))))))))))))) -> 0'(0'(0'(1'(1'(3'(1'(3'(2'(0'(0'(2'(2'(1'(3'(0'(2'(2'(x1)))))))))))))))))) [1]
   0'(c_2(c_3(c_0(c_1(c_2(c_3(c_2(c_0(c_3(c_1(c_0(c_0(c_0(c_3(c_3(c_0(c_3(c_1(c_0(c_0(c_3(c_0(c_3(c_2(c_3(c_2(c_3(c_0(c_1(c_0(c_1(c_1(c_2(c_3(x157))))))))))))))))))))))))))))))))))) -> 0'(2'(1'(3'(0'(0'(3'(3'(0'(1'(0'(2'(2'(3'(3'(0'(0'(3'(0'(1'(3'(2'(3'(3'(1'(1'(0'(2'(0'(0'(3'(1'(3'(0'(2'(x157))))))))))))))))))))))))))))))))))) [2]
   0'(c_2(c_3(c_0(c_1(c_2(c_3(c_2(c_0(c_3(c_1(c_0(c_0(c_0(c_3(c_3(c_0(c_3(c_0(c_3(c_1(c_0(c_1(c_0(c_3(c_3(c_1(c_0(c_3(c_2(c_3(c_3(c_2(c_0(c_3(x158))))))))))))))))))))))))))))))))))) -> 0'(2'(1'(3'(0'(0'(3'(3'(0'(1'(0'(2'(2'(3'(3'(0'(0'(1'(3'(0'(2'(0'(0'(3'(3'(2'(1'(3'(0'(3'(3'(1'(3'(3'(0'(x158))))))))))))))))))))))))))))))))))) [2]
   0'(c_2(c_3(c_0(c_1(c_2(c_3(c_2(c_0(c_3(c_1(c_0(c_0(c_0(c_3(c_3(c_0(c_3(c_0(c_1(c_0(c_1(c_2(c_3(c_3(c_1(c_2(c_3(c_2(c_1(c_1(c_1(c_3(c_3(c_0(x159))))))))))))))))))))))))))))))))))) -> 0'(2'(1'(3'(0'(0'(3'(3'(0'(1'(0'(2'(2'(3'(3'(0'(0'(3'(0'(1'(2'(1'(3'(3'(1'(3'(0'(1'(3'(1'(2'(0'(1'(3'(2'(x159))))))))))))))))))))))))))))))))))) [2]
   0'(c_2(c_3(c_0(c_1(c_2(c_3(c_2(c_0(c_3(c_1(c_0(c_0(c_0(c_3(c_3(c_0(c_3(c_1(c_2(c_3(c_2(c_0(c_2(c_3(c_1(c_1(c_1(c_3(c_3(c_2(c_0(c_0(c_0(c_3(x160))))))))))))))))))))))))))))))))))) -> 0'(2'(1'(3'(0'(0'(3'(3'(0'(1'(0'(2'(2'(3'(3'(0'(0'(3'(1'(3'(2'(1'(3'(0'(2'(1'(0'(0'(2'(3'(1'(2'(3'(3'(0'(x160))))))))))))))))))))))))))))))))))) [2]
   0'(c_2(c_3(c_0(c_1(c_2(c_3(c_2(c_0(c_3(c_1(c_0(c_0(c_0(c_3(c_3(c_0(c_3(c_2(c_3(c_2(c_2(c_0(c_3(c_3(c_2(c_0(c_1(c_0(c_0(c_2(c_0(c_1(c_1(c_1(x161))))))))))))))))))))))))))))))))))) -> 0'(2'(1'(3'(0'(0'(3'(3'(0'(1'(0'(2'(2'(3'(3'(0'(0'(3'(0'(1'(3'(2'(0'(3'(0'(1'(2'(3'(0'(2'(0'(2'(2'(1'(1'(x161))))))))))))))))))))))))))))))))))) [2]
   0'(c_2(c_3(c_0(c_1(c_2(c_3(c_2(c_0(c_3(c_1(c_0(c_0(c_0(c_3(c_3(c_0(c_3(c_3(c_1(c_2(c_2(c_2(c_3(c_3(c_3(c_1(c_3(c_0(c_1(c_1(c_1(c_2(c_1(c_0(x162))))))))))))))))))))))))))))))))))) -> 0'(2'(1'(3'(0'(0'(3'(3'(0'(1'(0'(2'(2'(3'(3'(0'(0'(3'(3'(3'(1'(2'(3'(1'(3'(0'(2'(2'(1'(3'(0'(2'(1'(1'(1'(x162))))))))))))))))))))))))))))))))))) [2]
   0'(c_2(c_3(c_0(c_1(c_2(c_3(c_2(c_0(c_3(c_1(c_0(c_0(c_0(c_3(c_3(c_0(c_3(c_1(c_1(c_0(c_3(c_0(c_1(c_1(c_3(c_2(c_1(c_2(c_3(c_3(c_1(c_3(c_3(c_1(x163))))))))))))))))))))))))))))))))))) -> 0'(2'(1'(3'(0'(0'(3'(3'(0'(1'(0'(2'(2'(3'(3'(0'(0'(3'(1'(3'(2'(1'(1'(1'(3'(3'(0'(3'(2'(1'(3'(0'(1'(3'(1'(x163))))))))))))))))))))))))))))))))))) [2]
   0'(c_2(c_3(c_0(c_1(c_2(c_3(c_2(c_0(c_3(c_1(c_0(c_0(c_0(c_3(c_3(c_0(c_3(c_3(c_0(c_1(c_0(c_3(c_2(c_0(c_1(c_1(c_1(c_1(c_3(c_1(c_2(c_3(c_3(c_3(x164))))))))))))))))))))))))))))))))))) -> 0'(2'(1'(3'(0'(0'(3'(3'(0'(1'(0'(2'(2'(3'(3'(0'(0'(3'(2'(3'(1'(1'(1'(0'(3'(3'(0'(2'(1'(3'(0'(1'(3'(1'(3'(x164))))))))))))))))))))))))))))))))))) [2]
   0'(c_2(c_3(c_0(c_1(c_2(c_3(c_2(c_0(c_3(c_1(c_0(c_0(c_0(c_3(c_3(c_0(c_3(c_3(c_1(c_0(c_3(c_2(c_3(c_0(c_3(c_1(c_0(c_2(c_0(c_3(c_0(c_2(c_2(c_0(x165))))))))))))))))))))))))))))))))))) -> 0'(2'(1'(3'(0'(0'(3'(3'(0'(1'(0'(2'(2'(3'(3'(0'(0'(3'(3'(3'(2'(0'(3'(0'(3'(0'(1'(0'(0'(1'(3'(0'(2'(2'(2'(x165))))))))))))))))))))))))))))))))))) [2]
   0'(c_2(c_3(c_0(c_1(c_2(c_3(c_2(c_0(c_3(c_1(c_0(c_0(c_0(c_3(c_3(c_0(c_3(c_1(c_2(c_0(c_3(c_2(c_2(c_3(c_2(c_0(c_3(c_3(c_2(c_3(c_3(c_1(c_1(c_3(x166))))))))))))))))))))))))))))))))))) -> 0'(2'(1'(3'(0'(0'(3'(3'(0'(1'(0'(2'(2'(3'(3'(0'(0'(3'(2'(2'(3'(1'(3'(3'(2'(1'(3'(3'(0'(2'(0'(2'(3'(1'(3'(x166))))))))))))))))))))))))))))))))))) [2]
   0'(c_2(c_3(c_0(c_1(c_2(c_3(c_2(c_0(c_3(c_1(c_0(c_0(c_0(c_3(c_3(c_0(c_3(c_2(c_0(c_1(c_2(c_1(c_0(c_3(c_3(c_3(c_3(c_1(c_2(c_1(c_1(c_0(c_1(c_0(x167))))))))))))))))))))))))))))))))))) -> 0'(2'(1'(3'(0'(0'(3'(3'(0'(1'(0'(2'(2'(3'(3'(0'(0'(3'(0'(0'(2'(1'(3'(2'(3'(3'(1'(1'(3'(1'(1'(0'(2'(0'(1'(x167))))))))))))))))))))))))))))))))))) [2]
   0'(c_2(c_3(c_0(c_1(c_2(c_3(c_2(c_0(c_3(c_1(c_0(c_0(c_0(c_3(c_3(c_0(c_3(x1)))))))))))))))))) -> 0'(2'(1'(3'(0'(0'(3'(3'(0'(1'(0'(2'(2'(3'(3'(0'(0'(c_3(x1)))))))))))))))))) [1]
   0'(c_2(c_3(c_0(c_1(c_2(c_3(c_2(c_0(c_3(c_1(c_0(c_0(c_0(c_3(c_3(c_0(c_3(x1)))))))))))))))))) -> 0'(2'(1'(3'(0'(0'(3'(3'(0'(1'(0'(2'(2'(3'(3'(0'(0'(const))))))))))))))))) [1]
   1'(c_2(c_0(c_0(c_2(c_1(c_3(c_2(c_2(c_3(c_2(c_2(c_0(c_3(c_2(c_3(c_2(c_2(x1)))))))))))))))))) -> 1'(2'(0'(3'(2'(2'(2'(2'(3'(0'(0'(2'(2'(2'(3'(1'(3'(2'(x1)))))))))))))))))) [1]
   1'(c_0(c_2(c_3(c_3(c_3(c_1(c_0(c_2(c_0(c_1(c_2(c_2(c_3(c_2(c_1(c_0(c_1(x1)))))))))))))))))) -> 2'(3'(2'(1'(0'(1'(3'(1'(3'(0'(2'(3'(0'(2'(0'(1'(2'(1'(x1)))))))))))))))))) [1]
   2'(c_0(c_1(c_3(c_3(c_3(c_3(c_3(c_1(c_1(c_3(c_2(c_0(c_1(c_0(c_0(c_1(c_0(c_2(c_3(c_0(c_1(c_2(c_3(c_2(c_0(c_3(c_1(c_0(c_0(c_0(c_3(c_3(c_0(c_3(x1126))))))))))))))))))))))))))))))))))) -> 1'(3'(0'(2'(1'(1'(3'(0'(2'(3'(0'(0'(3'(1'(3'(3'(1'(0'(2'(1'(3'(0'(0'(3'(3'(0'(1'(0'(2'(2'(3'(3'(0'(0'(3'(x1126))))))))))))))))))))))))))))))))))) [2]
   2'(c_0(c_1(c_3(c_3(c_3(c_3(c_3(c_1(c_1(c_3(c_2(c_0(c_1(c_0(c_0(c_1(c_0(c_1(c_0(c_2(c_1(c_1(c_0(c_0(c_1(c_0(c_3(c_1(c_1(c_0(c_2(c_1(c_2(c_3(x1127))))))))))))))))))))))))))))))))))) -> 1'(3'(0'(2'(1'(1'(3'(0'(2'(3'(0'(0'(3'(1'(3'(3'(1'(0'(1'(2'(0'(0'(2'(1'(1'(0'(1'(1'(1'(0'(1'(3'(0'(2'(3'(x1127))))))))))))))))))))))))))))))))))) [2]
   2'(c_0(c_1(c_3(c_3(c_3(c_3(c_3(c_1(c_1(c_3(c_2(c_0(c_1(c_0(c_0(c_1(c_0(c_1(c_0(c_3(c_2(c_0(c_0(c_0(c_3(c_3(c_0(c_2(c_2(c_2(c_2(c_1(c_1(c_1(x1128))))))))))))))))))))))))))))))))))) -> 1'(3'(0'(2'(1'(1'(3'(0'(2'(3'(0'(0'(3'(1'(3'(3'(1'(0'(0'(1'(1'(3'(0'(3'(0'(0'(2'(2'(2'(0'(2'(2'(1'(3'(1'(x1128))))))))))))))))))))))))))))))))))) [2]
   2'(c_0(c_1(c_3(c_3(c_3(c_3(c_3(c_1(c_1(c_3(c_2(c_0(c_1(c_0(c_0(c_1(c_0(c_0(c_3(c_1(c_0(c_2(c_2(c_0(c_2(c_3(c_1(c_1(c_0(c_1(c_2(c_2(c_0(c_1(x1129))))))))))))))))))))))))))))))))))) -> 1'(3'(0'(2'(1'(1'(3'(0'(2'(3'(0'(0'(3'(1'(3'(3'(1'(0'(2'(1'(1'(3'(0'(0'(0'(1'(0'(2'(3'(1'(2'(2'(0'(2'(1'(x1129))))))))))))))))))))))))))))))))))) [2]
   2'(c_0(c_1(c_3(c_3(c_3(c_3(c_3(c_1(c_1(c_3(c_2(c_0(c_1(c_0(c_0(c_1(c_0(c_3(c_2(c_0(c_3(c_1(c_0(c_1(c_0(c_3(c_0(c_3(c_0(c_0(c_3(c_0(c_0(c_0(x1130))))))))))))))))))))))))))))))))))) -> 1'(3'(0'(2'(1'(1'(3'(0'(2'(3'(0'(0'(3'(1'(3'(3'(1'(0'(3'(0'(0'(0'(0'(1'(2'(0'(3'(3'(0'(0'(3'(0'(1'(3'(0'(x1130))))))))))))))))))))))))))))))))))) [2]
   2'(c_0(c_1(c_3(c_3(c_3(c_3(c_3(c_1(c_1(c_3(c_2(c_0(c_1(c_0(c_0(c_1(c_0(c_1(c_2(c_3(c_2(c_1(c_0(c_1(c_2(c_2(c_0(c_0(c_1(c_0(c_3(c_1(c_0(c_1(x1131))))))))))))))))))))))))))))))))))) -> 1'(3'(0'(2'(1'(1'(3'(0'(2'(3'(0'(0'(3'(1'(3'(3'(1'(0'(2'(1'(1'(1'(0'(2'(2'(0'(0'(1'(1'(0'(3'(0'(1'(3'(2'(x1131))))))))))))))))))))))))))))))))))) [2]
   2'(c_0(c_1(c_3(c_3(c_3(c_3(c_3(c_1(c_1(c_3(c_2(c_0(c_1(c_0(c_0(c_1(c_0(c_2(c_1(c_0(c_3(c_0(c_3(c_0(c_3(c_2(c_0(c_1(c_0(c_1(c_2(c_2(c_1(c_1(x1132))))))))))))))))))))))))))))))))))) -> 1'(3'(0'(2'(1'(1'(3'(0'(2'(3'(0'(0'(3'(1'(3'(3'(1'(0'(2'(3'(0'(3'(2'(2'(1'(2'(1'(1'(0'(0'(3'(0'(0'(1'(1'(x1132))))))))))))))))))))))))))))))))))) [2]
   2'(c_0(c_1(c_3(c_3(c_3(c_3(c_3(c_1(c_1(c_3(c_2(c_0(c_1(c_0(c_0(c_1(c_0(c_0(c_2(c_2(c_1(c_3(c_2(c_2(c_2(c_1(c_0(c_2(c_2(c_0(c_2(c_2(c_0(c_0(x1133))))))))))))))))))))))))))))))))))) -> 1'(3'(0'(2'(1'(1'(3'(0'(2'(3'(0'(0'(3'(1'(3'(3'(1'(0'(2'(2'(2'(2'(1'(3'(0'(0'(2'(1'(0'(2'(2'(2'(2'(0'(0'(x1133))))))))))))))))))))))))))))))))))) [2]
   2'(c_0(c_1(c_3(c_3(c_3(c_3(c_3(c_1(c_1(c_3(c_2(c_0(c_1(c_0(c_0(c_1(c_0(c_3(c_1(c_1(c_2(c_3(c_0(c_3(c_0(c_1(c_0(c_1(c_2(c_2(c_1(c_0(c_2(c_2(x1134))))))))))))))))))))))))))))))))))) -> 1'(3'(0'(2'(1'(1'(3'(0'(2'(3'(0'(0'(3'(1'(3'(3'(1'(0'(0'(1'(3'(0'(0'(2'(2'(2'(3'(2'(1'(1'(1'(1'(0'(3'(2'(x1134))))))))))))))))))))))))))))))))))) [2]
   2'(c_0(c_1(c_3(c_3(c_3(c_3(c_3(c_1(c_1(c_3(c_2(c_0(c_1(c_0(c_0(c_1(c_0(c_1(c_1(c_1(c_1(c_3(c_1(c_1(c_0(c_1(c_3(c_1(c_0(c_2(c_3(c_3(c_3(c_2(x1135))))))))))))))))))))))))))))))))))) -> 1'(3'(0'(2'(1'(1'(3'(0'(2'(3'(0'(0'(3'(1'(3'(3'(1'(0'(2'(0'(1'(3'(1'(1'(3'(1'(0'(1'(3'(2'(1'(3'(1'(1'(3'(x1135))))))))))))))))))))))))))))))))))) [2]
   2'(c_0(c_1(c_3(c_3(c_3(c_3(c_3(c_1(c_1(c_3(c_2(c_0(c_1(c_0(c_0(c_1(c_0(c_3(c_0(c_1(c_0(c_3(c_0(c_1(c_1(c_1(c_2(c_0(c_0(c_0(c_3(c_2(c_1(c_0(x1136))))))))))))))))))))))))))))))))))) -> 1'(3'(0'(2'(1'(1'(3'(0'(2'(3'(0'(0'(3'(1'(3'(3'(1'(0'(0'(2'(2'(1'(3'(0'(0'(1'(3'(0'(1'(0'(1'(0'(0'(1'(3'(x1136))))))))))))))))))))))))))))))))))) [2]
   2'(c_0(c_1(c_3(c_3(c_3(c_3(c_3(c_1(c_1(c_3(c_2(c_0(c_1(c_0(c_0(c_1(c_0(x1)))))))))))))))))) -> 1'(3'(0'(2'(1'(1'(3'(0'(2'(3'(0'(0'(3'(1'(3'(3'(1'(c_0(x1)))))))))))))))))) [1]
   2'(c_0(c_1(c_3(c_3(c_3(c_3(c_3(c_1(c_1(c_3(c_2(c_0(c_1(c_0(c_0(c_1(c_0(x1)))))))))))))))))) -> 1'(3'(0'(2'(1'(1'(3'(0'(2'(3'(0'(0'(3'(1'(3'(3'(1'(const))))))))))))))))) [1]
   2'(c_3(c_2(c_1(c_0(c_0(c_0(c_2(c_3(c_2(c_3(c_0(c_3(c_0(c_2(c_1(c_1(c_2(x1)))))))))))))))))) -> 2'(2'(3'(0'(3'(0'(2'(1'(0'(2'(2'(0'(1'(3'(1'(3'(0'(2'(x1)))))))))))))))))) [1]
   2'(c_1(c_2(c_2(c_3(c_2(c_3(c_0(c_1(c_3(c_2(c_1(c_1(c_3(c_3(c_2(c_2(c_2(x1)))))))))))))))))) -> 2'(1'(1'(1'(3'(2'(3'(2'(2'(3'(0'(2'(3'(2'(1'(3'(2'(2'(x1)))))))))))))))))) [1]
   2'(c_1(c_2(c_2(c_2(c_0(c_2(c_1(c_2(c_3(c_0(c_0(c_3(c_1(c_2(c_2(c_1(c_3(x1)))))))))))))))))) -> 0'(2'(0'(2'(1'(3'(2'(2'(1'(3'(2'(2'(1'(3'(0'(2'(1'(2'(x1)))))))))))))))))) [1]
   1'(c_1(c_1(c_2(c_1(c_1(c_1(c_2(c_1(c_3(c_1(c_0(c_1(c_2(c_1(c_2(c_3(c_1(x1)))))))))))))))))) -> 1'(1'(1'(1'(1'(1'(3'(0'(2'(2'(1'(1'(1'(2'(3'(1'(2'(1'(x1)))))))))))))))))) [1]
   2'(c_0(c_3(c_0(c_3(c_2(c_3(c_2(c_1(c_0(c_1(c_2(c_2(c_0(c_0(c_0(c_1(c_2(x1)))))))))))))))))) -> 0'(2'(2'(1'(2'(0'(1'(2'(0'(3'(0'(0'(2'(1'(3'(0'(3'(2'(x1)))))))))))))))))) [1]
   2'(c_3(c_0(c_2(c_0(c_3(c_2(c_0(c_2(c_3(c_2(c_1(c_2(c_2(c_2(c_3(c_0(c_3(c_2(c_3(c_0(c_1(c_2(c_3(c_2(c_0(c_3(c_1(c_0(c_0(c_0(c_3(c_3(c_0(c_3(x1276))))))))))))))))))))))))))))))))))) -> 2'(3'(2'(3'(3'(0'(0'(2'(2'(2'(1'(3'(2'(0'(2'(3'(2'(0'(2'(1'(3'(0'(0'(3'(3'(0'(1'(0'(2'(2'(3'(3'(0'(0'(3'(x1276))))))))))))))))))))))))))))))))))) [2]
   2'(c_3(c_0(c_2(c_0(c_3(c_2(c_0(c_2(c_3(c_2(c_1(c_2(c_2(c_2(c_3(c_0(c_3(c_1(c_0(c_2(c_1(c_1(c_0(c_0(c_1(c_0(c_3(c_1(c_1(c_0(c_2(c_1(c_2(c_3(x1277))))))))))))))))))))))))))))))))))) -> 2'(3'(2'(3'(3'(0'(0'(2'(2'(2'(1'(3'(2'(0'(2'(3'(2'(0'(1'(2'(0'(0'(2'(1'(1'(0'(1'(1'(1'(0'(1'(3'(0'(2'(3'(x1277))))))))))))))))))))))))))))))))))) [2]
   2'(c_3(c_0(c_2(c_0(c_3(c_2(c_0(c_2(c_3(c_2(c_1(c_2(c_2(c_2(c_3(c_0(c_3(c_1(c_0(c_3(c_2(c_0(c_0(c_0(c_3(c_3(c_0(c_2(c_2(c_2(c_2(c_1(c_1(c_1(x1278))))))))))))))))))))))))))))))))))) -> 2'(3'(2'(3'(3'(0'(0'(2'(2'(2'(1'(3'(2'(0'(2'(3'(2'(0'(0'(1'(1'(3'(0'(3'(0'(0'(2'(2'(2'(0'(2'(2'(1'(3'(1'(x1278))))))))))))))))))))))))))))))))))) [2]
   2'(c_3(c_0(c_2(c_0(c_3(c_2(c_0(c_2(c_3(c_2(c_1(c_2(c_2(c_2(c_3(c_0(c_3(c_0(c_3(c_1(c_0(c_2(c_2(c_0(c_2(c_3(c_1(c_1(c_0(c_1(c_2(c_2(c_0(c_1(x1279))))))))))))))))))))))))))))))))))) -> 2'(3'(2'(3'(3'(0'(0'(2'(2'(2'(1'(3'(2'(0'(2'(3'(2'(0'(2'(1'(1'(3'(0'(0'(0'(1'(0'(2'(3'(1'(2'(2'(0'(2'(1'(x1279))))))))))))))))))))))))))))))))))) [2]
   2'(c_3(c_0(c_2(c_0(c_3(c_2(c_0(c_2(c_3(c_2(c_1(c_2(c_2(c_2(c_3(c_0(c_3(c_3(c_2(c_0(c_3(c_1(c_0(c_1(c_0(c_3(c_0(c_3(c_0(c_0(c_3(c_0(c_0(c_0(x1280))))))))))))))))))))))))))))))))))) -> 2'(3'(2'(3'(3'(0'(0'(2'(2'(2'(1'(3'(2'(0'(2'(3'(2'(0'(3'(0'(0'(0'(0'(1'(2'(0'(3'(3'(0'(0'(3'(0'(1'(3'(0'(x1280))))))))))))))))))))))))))))))))))) [2]
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   0'(c_3(c_0(c_1(c_0(c_3(c_0(c_1(c_1(c_1(c_2(c_0(c_0(c_0(c_3(c_2(c_1(c_0(x1)))))))))))))))))) -> 0'(0'(2'(2'(1'(3'(0'(0'(1'(3'(0'(1'(0'(1'(0'(0'(1'(const))))))))))))))))) [1]
   2'(c_2(c_0(c_0(c_2(c_1(c_1(c_2(c_1(c_2(c_0(c_1(c_2(c_2(c_2(c_2(c_2(c_2(x1)))))))))))))))))) -> 2'(2'(2'(2'(1'(1'(0'(2'(1'(1'(2'(2'(0'(2'(0'(2'(2'(2'(x1)))))))))))))))))) [1]
   2'(c_2(c_1(c_1(c_3(c_1(c_0(c_0(c_1(c_2(c_3(c_2(c_3(c_1(c_0(c_1(c_1(c_0(c_2(c_3(c_0(c_1(c_2(c_3(c_2(c_0(c_3(c_1(c_0(c_0(c_0(c_3(c_3(c_0(c_3(x11632))))))))))))))))))))))))))))))))))) -> 0'(1'(2'(2'(3'(1'(0'(2'(1'(3'(2'(1'(1'(3'(0'(1'(1'(0'(2'(1'(3'(0'(0'(3'(3'(0'(1'(0'(2'(2'(3'(3'(0'(0'(3'(x11632))))))))))))))))))))))))))))))))))) [2]
   2'(c_2(c_1(c_1(c_3(c_1(c_0(c_0(c_1(c_2(c_3(c_2(c_3(c_1(c_0(c_1(c_1(c_0(c_1(c_0(c_2(c_1(c_1(c_0(c_0(c_1(c_0(c_3(c_1(c_1(c_0(c_2(c_1(c_2(c_3(x11633))))))))))))))))))))))))))))))))))) -> 0'(1'(2'(2'(3'(1'(0'(2'(1'(3'(2'(1'(1'(3'(0'(1'(1'(0'(1'(2'(0'(0'(2'(1'(1'(0'(1'(1'(1'(0'(1'(3'(0'(2'(3'(x11633))))))))))))))))))))))))))))))))))) [2]
   2'(c_2(c_1(c_1(c_3(c_1(c_0(c_0(c_1(c_2(c_3(c_2(c_3(c_1(c_0(c_1(c_1(c_0(c_1(c_0(c_3(c_2(c_0(c_0(c_0(c_3(c_3(c_0(c_2(c_2(c_2(c_2(c_1(c_1(c_1(x11634))))))))))))))))))))))))))))))))))) -> 0'(1'(2'(2'(3'(1'(0'(2'(1'(3'(2'(1'(1'(3'(0'(1'(1'(0'(0'(1'(1'(3'(0'(3'(0'(0'(2'(2'(2'(0'(2'(2'(1'(3'(1'(x11634))))))))))))))))))))))))))))))))))) [2]
   2'(c_2(c_1(c_1(c_3(c_1(c_0(c_0(c_1(c_2(c_3(c_2(c_3(c_1(c_0(c_1(c_1(c_0(c_0(c_3(c_1(c_0(c_2(c_2(c_0(c_2(c_3(c_1(c_1(c_0(c_1(c_2(c_2(c_0(c_1(x11635))))))))))))))))))))))))))))))))))) -> 0'(1'(2'(2'(3'(1'(0'(2'(1'(3'(2'(1'(1'(3'(0'(1'(1'(0'(2'(1'(1'(3'(0'(0'(0'(1'(0'(2'(3'(1'(2'(2'(0'(2'(1'(x11635))))))))))))))))))))))))))))))))))) [2]
   2'(c_2(c_1(c_1(c_3(c_1(c_0(c_0(c_1(c_2(c_3(c_2(c_3(c_1(c_0(c_1(c_1(c_0(c_3(c_2(c_0(c_3(c_1(c_0(c_1(c_0(c_3(c_0(c_3(c_0(c_0(c_3(c_0(c_0(c_0(x11636))))))))))))))))))))))))))))))))))) -> 0'(1'(2'(2'(3'(1'(0'(2'(1'(3'(2'(1'(1'(3'(0'(1'(1'(0'(3'(0'(0'(0'(0'(1'(2'(0'(3'(3'(0'(0'(3'(0'(1'(3'(0'(x11636))))))))))))))))))))))))))))))))))) [2]
   2'(c_2(c_1(c_1(c_3(c_1(c_0(c_0(c_1(c_2(c_3(c_2(c_3(c_1(c_0(c_1(c_1(c_0(c_1(c_2(c_3(c_2(c_1(c_0(c_1(c_2(c_2(c_0(c_0(c_1(c_0(c_3(c_1(c_0(c_1(x11637))))))))))))))))))))))))))))))))))) -> 0'(1'(2'(2'(3'(1'(0'(2'(1'(3'(2'(1'(1'(3'(0'(1'(1'(0'(2'(1'(1'(1'(0'(2'(2'(0'(0'(1'(1'(0'(3'(0'(1'(3'(2'(x11637))))))))))))))))))))))))))))))))))) [2]
   2'(c_2(c_1(c_1(c_3(c_1(c_0(c_0(c_1(c_2(c_3(c_2(c_3(c_1(c_0(c_1(c_1(c_0(c_2(c_1(c_0(c_3(c_0(c_3(c_0(c_3(c_2(c_0(c_1(c_0(c_1(c_2(c_2(c_1(c_1(x11638))))))))))))))))))))))))))))))))))) -> 0'(1'(2'(2'(3'(1'(0'(2'(1'(3'(2'(1'(1'(3'(0'(1'(1'(0'(2'(3'(0'(3'(2'(2'(1'(2'(1'(1'(0'(0'(3'(0'(0'(1'(1'(x11638))))))))))))))))))))))))))))))))))) [2]
   2'(c_2(c_1(c_1(c_3(c_1(c_0(c_0(c_1(c_2(c_3(c_2(c_3(c_1(c_0(c_1(c_1(c_0(c_0(c_2(c_2(c_1(c_3(c_2(c_2(c_2(c_1(c_0(c_2(c_2(c_0(c_2(c_2(c_0(c_0(x11639))))))))))))))))))))))))))))))))))) -> 0'(1'(2'(2'(3'(1'(0'(2'(1'(3'(2'(1'(1'(3'(0'(1'(1'(0'(2'(2'(2'(2'(1'(3'(0'(0'(2'(1'(0'(2'(2'(2'(2'(0'(0'(x11639))))))))))))))))))))))))))))))))))) [2]
   2'(c_2(c_1(c_1(c_3(c_1(c_0(c_0(c_1(c_2(c_3(c_2(c_3(c_1(c_0(c_1(c_1(c_0(c_3(c_1(c_1(c_2(c_3(c_0(c_3(c_0(c_1(c_0(c_1(c_2(c_2(c_1(c_0(c_2(c_2(x11640))))))))))))))))))))))))))))))))))) -> 0'(1'(2'(2'(3'(1'(0'(2'(1'(3'(2'(1'(1'(3'(0'(1'(1'(0'(0'(1'(3'(0'(0'(2'(2'(2'(3'(2'(1'(1'(1'(1'(0'(3'(2'(x11640))))))))))))))))))))))))))))))))))) [2]
   2'(c_2(c_1(c_1(c_3(c_1(c_0(c_0(c_1(c_2(c_3(c_2(c_3(c_1(c_0(c_1(c_1(c_0(c_1(c_1(c_1(c_1(c_3(c_1(c_1(c_0(c_1(c_3(c_1(c_0(c_2(c_3(c_3(c_3(c_2(x11641))))))))))))))))))))))))))))))))))) -> 0'(1'(2'(2'(3'(1'(0'(2'(1'(3'(2'(1'(1'(3'(0'(1'(1'(0'(2'(0'(1'(3'(1'(1'(3'(1'(0'(1'(3'(2'(1'(3'(1'(1'(3'(x11641))))))))))))))))))))))))))))))))))) [2]
   2'(c_2(c_1(c_1(c_3(c_1(c_0(c_0(c_1(c_2(c_3(c_2(c_3(c_1(c_0(c_1(c_1(c_0(c_3(c_0(c_1(c_0(c_3(c_0(c_1(c_1(c_1(c_2(c_0(c_0(c_0(c_3(c_2(c_1(c_0(x11642))))))))))))))))))))))))))))))))))) -> 0'(1'(2'(2'(3'(1'(0'(2'(1'(3'(2'(1'(1'(3'(0'(1'(1'(0'(0'(2'(2'(1'(3'(0'(0'(1'(3'(0'(1'(0'(1'(0'(0'(1'(3'(x11642))))))))))))))))))))))))))))))))))) [2]
   2'(c_2(c_1(c_1(c_3(c_1(c_0(c_0(c_1(c_2(c_3(c_2(c_3(c_1(c_0(c_1(c_1(c_0(x1)))))))))))))))))) -> 0'(1'(2'(2'(3'(1'(0'(2'(1'(3'(2'(1'(1'(3'(0'(1'(1'(c_0(x1)))))))))))))))))) [1]
   2'(c_2(c_1(c_1(c_3(c_1(c_0(c_0(c_1(c_2(c_3(c_2(c_3(c_1(c_0(c_1(c_1(c_0(x1)))))))))))))))))) -> 0'(1'(2'(2'(3'(1'(0'(2'(1'(3'(2'(1'(1'(3'(0'(1'(1'(const))))))))))))))))) [1]
   2'(c_3(c_1(c_0(c_2(c_3(c_1(c_0(c_0(c_1(c_0(c_1(c_0(c_1(c_2(c_2(c_1(c_0(x1)))))))))))))))))) -> 2'(0'(3'(1'(0'(1'(0'(1'(2'(0'(2'(2'(1'(3'(0'(0'(1'(1'(x1)))))))))))))))))) [1]
   1'(c_2(c_3(c_1(c_1(c_0(c_0(c_3(c_3(c_0(c_2(c_1(c_3(c_3(c_0(c_3(c_2(c_3(c_1(c_0(c_0(c_3(c_0(c_3(c_2(c_3(c_2(c_3(c_0(c_1(c_0(c_1(c_1(c_2(c_3(x11674))))))))))))))))))))))))))))))))))) -> 3'(1'(3'(0'(2'(3'(3'(1'(3'(0'(2'(1'(2'(0'(0'(1'(3'(3'(0'(1'(3'(2'(3'(3'(1'(1'(0'(2'(0'(0'(3'(1'(3'(0'(2'(x11674))))))))))))))))))))))))))))))))))) [2]
   1'(c_2(c_3(c_1(c_1(c_0(c_0(c_3(c_3(c_0(c_2(c_1(c_3(c_3(c_0(c_3(c_2(c_3(c_0(c_3(c_1(c_0(c_1(c_0(c_3(c_3(c_1(c_0(c_3(c_2(c_3(c_3(c_2(c_0(c_3(x11675))))))))))))))))))))))))))))))))))) -> 3'(1'(3'(0'(2'(3'(3'(1'(3'(0'(2'(1'(2'(0'(0'(1'(3'(1'(3'(0'(2'(0'(0'(3'(3'(2'(1'(3'(0'(3'(3'(1'(3'(3'(0'(x11675))))))))))))))))))))))))))))))))))) [2]
   1'(c_2(c_3(c_1(c_1(c_0(c_0(c_3(c_3(c_0(c_2(c_1(c_3(c_3(c_0(c_3(c_2(c_3(c_0(c_1(c_0(c_1(c_2(c_3(c_3(c_1(c_2(c_3(c_2(c_1(c_1(c_1(c_3(c_3(c_0(x11676))))))))))))))))))))))))))))))))))) -> 3'(1'(3'(0'(2'(3'(3'(1'(3'(0'(2'(1'(2'(0'(0'(1'(3'(3'(0'(1'(2'(1'(3'(3'(1'(3'(0'(1'(3'(1'(2'(0'(1'(3'(2'(x11676))))))))))))))))))))))))))))))))))) [2]
   1'(c_2(c_3(c_1(c_1(c_0(c_0(c_3(c_3(c_0(c_2(c_1(c_3(c_3(c_0(c_3(c_2(c_3(c_1(c_2(c_3(c_2(c_0(c_2(c_3(c_1(c_1(c_1(c_3(c_3(c_2(c_0(c_0(c_0(c_3(x11677))))))))))))))))))))))))))))))))))) -> 3'(1'(3'(0'(2'(3'(3'(1'(3'(0'(2'(1'(2'(0'(0'(1'(3'(3'(1'(3'(2'(1'(3'(0'(2'(1'(0'(0'(2'(3'(1'(2'(3'(3'(0'(x11677))))))))))))))))))))))))))))))))))) [2]
   1'(c_2(c_3(c_1(c_1(c_0(c_0(c_3(c_3(c_0(c_2(c_1(c_3(c_3(c_0(c_3(c_2(c_3(c_2(c_3(c_2(c_2(c_0(c_3(c_3(c_2(c_0(c_1(c_0(c_0(c_2(c_0(c_1(c_1(c_1(x11678))))))))))))))))))))))))))))))))))) -> 3'(1'(3'(0'(2'(3'(3'(1'(3'(0'(2'(1'(2'(0'(0'(1'(3'(3'(0'(1'(3'(2'(0'(3'(0'(1'(2'(3'(0'(2'(0'(2'(2'(1'(1'(x11678))))))))))))))))))))))))))))))))))) [2]
   1'(c_2(c_3(c_1(c_1(c_0(c_0(c_3(c_3(c_0(c_2(c_1(c_3(c_3(c_0(c_3(c_2(c_3(c_3(c_1(c_2(c_2(c_2(c_3(c_3(c_3(c_1(c_3(c_0(c_1(c_1(c_1(c_2(c_1(c_0(x11679))))))))))))))))))))))))))))))))))) -> 3'(1'(3'(0'(2'(3'(3'(1'(3'(0'(2'(1'(2'(0'(0'(1'(3'(3'(3'(3'(1'(2'(3'(1'(3'(0'(2'(2'(1'(3'(0'(2'(1'(1'(1'(x11679))))))))))))))))))))))))))))))))))) [2]
   1'(c_2(c_3(c_1(c_1(c_0(c_0(c_3(c_3(c_0(c_2(c_1(c_3(c_3(c_0(c_3(c_2(c_3(c_1(c_1(c_0(c_3(c_0(c_1(c_1(c_3(c_2(c_1(c_2(c_3(c_3(c_1(c_3(c_3(c_1(x11680))))))))))))))))))))))))))))))))))) -> 3'(1'(3'(0'(2'(3'(3'(1'(3'(0'(2'(1'(2'(0'(0'(1'(3'(3'(1'(3'(2'(1'(1'(1'(3'(3'(0'(3'(2'(1'(3'(0'(1'(3'(1'(x11680))))))))))))))))))))))))))))))))))) [2]
   1'(c_2(c_3(c_1(c_1(c_0(c_0(c_3(c_3(c_0(c_2(c_1(c_3(c_3(c_0(c_3(c_2(c_3(c_3(c_0(c_1(c_0(c_3(c_2(c_0(c_1(c_1(c_1(c_1(c_3(c_1(c_2(c_3(c_3(c_3(x11681))))))))))))))))))))))))))))))))))) -> 3'(1'(3'(0'(2'(3'(3'(1'(3'(0'(2'(1'(2'(0'(0'(1'(3'(3'(2'(3'(1'(1'(1'(0'(3'(3'(0'(2'(1'(3'(0'(1'(3'(1'(3'(x11681))))))))))))))))))))))))))))))))))) [2]
   1'(c_2(c_3(c_1(c_1(c_0(c_0(c_3(c_3(c_0(c_2(c_1(c_3(c_3(c_0(c_3(c_2(c_3(c_3(c_1(c_0(c_3(c_2(c_3(c_0(c_3(c_1(c_0(c_2(c_0(c_3(c_0(c_2(c_2(c_0(x11682))))))))))))))))))))))))))))))))))) -> 3'(1'(3'(0'(2'(3'(3'(1'(3'(0'(2'(1'(2'(0'(0'(1'(3'(3'(3'(3'(2'(0'(3'(0'(3'(0'(1'(0'(0'(1'(3'(0'(2'(2'(2'(x11682))))))))))))))))))))))))))))))))))) [2]
   1'(c_2(c_3(c_1(c_1(c_0(c_0(c_3(c_3(c_0(c_2(c_1(c_3(c_3(c_0(c_3(c_2(c_3(c_1(c_2(c_0(c_3(c_2(c_2(c_3(c_2(c_0(c_3(c_3(c_2(c_3(c_3(c_1(c_1(c_3(x11683))))))))))))))))))))))))))))))))))) -> 3'(1'(3'(0'(2'(3'(3'(1'(3'(0'(2'(1'(2'(0'(0'(1'(3'(3'(2'(2'(3'(1'(3'(3'(2'(1'(3'(3'(0'(2'(0'(2'(3'(1'(3'(x11683))))))))))))))))))))))))))))))))))) [2]
   1'(c_2(c_3(c_1(c_1(c_0(c_0(c_3(c_3(c_0(c_2(c_1(c_3(c_3(c_0(c_3(c_2(c_3(c_2(c_0(c_1(c_2(c_1(c_0(c_3(c_3(c_3(c_3(c_1(c_2(c_1(c_1(c_0(c_1(c_0(x11684))))))))))))))))))))))))))))))))))) -> 3'(1'(3'(0'(2'(3'(3'(1'(3'(0'(2'(1'(2'(0'(0'(1'(3'(3'(0'(0'(2'(1'(3'(2'(3'(3'(1'(1'(3'(1'(1'(0'(2'(0'(1'(x11684))))))))))))))))))))))))))))))))))) [2]
   1'(c_2(c_3(c_1(c_1(c_0(c_0(c_3(c_3(c_0(c_2(c_1(c_3(c_3(c_0(c_3(c_2(c_3(x1)))))))))))))))))) -> 3'(1'(3'(0'(2'(3'(3'(1'(3'(0'(2'(1'(2'(0'(0'(1'(3'(c_3(x1)))))))))))))))))) [1]
   1'(c_2(c_3(c_1(c_1(c_0(c_0(c_3(c_3(c_0(c_2(c_1(c_3(c_3(c_0(c_3(c_2(c_3(x1)))))))))))))))))) -> 3'(1'(3'(0'(2'(3'(3'(1'(3'(0'(2'(1'(2'(0'(0'(1'(3'(const))))))))))))))))) [1]
   2'(c_0(c_0(c_3(c_1(c_2(c_3(c_2(c_0(c_2(c_3(c_0(c_1(c_2(c_2(c_0(c_0(c_2(x1)))))))))))))))))) -> 2'(0'(2'(3'(1'(3'(0'(0'(3'(2'(0'(1'(0'(2'(0'(2'(2'(2'(x1)))))))))))))))))) [1]
   2'(c_2(c_1(c_1(c_2(c_3(c_1(c_2(c_1(c_3(c_1(c_0(c_2(c_2(c_0(c_3(c_1(c_1(x1)))))))))))))))))) -> 2'(2'(1'(2'(3'(1'(1'(3'(1'(2'(2'(1'(0'(0'(2'(1'(3'(1'(x1)))))))))))))))))) [1]
   encArg(cons_0(cons_0(x_1'))) -> 0'(0'(encArg(x_1'))) [0]
   encArg(cons_0(cons_1(x_1''))) -> 0'(1'(encArg(x_1''))) [0]
   encArg(cons_0(cons_2(x_11))) -> 0'(2'(encArg(x_11))) [0]
   encArg(cons_0(cons_3(x_12))) -> 0'(3'(encArg(x_12))) [0]
   encArg(cons_0(x_1)) -> 0'(const) [0]
   encArg(cons_1(cons_0(x_13))) -> 1'(0'(encArg(x_13))) [0]
   encArg(cons_1(cons_1(x_14))) -> 1'(1'(encArg(x_14))) [0]
   encArg(cons_1(cons_2(x_15))) -> 1'(2'(encArg(x_15))) [0]
   encArg(cons_1(cons_3(x_16))) -> 1'(3'(encArg(x_16))) [0]
   encArg(cons_1(x_1)) -> 1'(const) [0]
   encArg(cons_2(cons_0(x_17))) -> 2'(0'(encArg(x_17))) [0]
   encArg(cons_2(cons_1(x_18))) -> 2'(1'(encArg(x_18))) [0]
   encArg(cons_2(cons_2(x_19))) -> 2'(2'(encArg(x_19))) [0]
   encArg(cons_2(cons_3(x_110))) -> 2'(3'(encArg(x_110))) [0]
   encArg(cons_2(x_1)) -> 2'(const) [0]
   encArg(cons_3(cons_0(x_111))) -> 3'(0'(encArg(x_111))) [0]
   encArg(cons_3(cons_1(x_112))) -> 3'(1'(encArg(x_112))) [0]
   encArg(cons_3(cons_2(x_113))) -> 3'(2'(encArg(x_113))) [0]
   encArg(cons_3(cons_3(x_114))) -> 3'(3'(encArg(x_114))) [0]
   encArg(cons_3(x_1)) -> 3'(const) [0]
   encode_0(cons_0(x_115)) -> 0'(0'(encArg(x_115))) [0]
   encode_0(cons_1(x_116)) -> 0'(1'(encArg(x_116))) [0]
   encode_0(cons_2(x_117)) -> 0'(2'(encArg(x_117))) [0]
   encode_0(cons_3(x_118)) -> 0'(3'(encArg(x_118))) [0]
   encode_0(x_1) -> 0'(const) [0]
   encode_2(cons_0(x_119)) -> 2'(0'(encArg(x_119))) [0]
   encode_2(cons_1(x_120)) -> 2'(1'(encArg(x_120))) [0]
   encode_2(cons_2(x_121)) -> 2'(2'(encArg(x_121))) [0]
   encode_2(cons_3(x_122)) -> 2'(3'(encArg(x_122))) [0]
   encode_2(x_1) -> 2'(const) [0]
   encode_1(cons_0(x_123)) -> 1'(0'(encArg(x_123))) [0]
   encode_1(cons_1(x_124)) -> 1'(1'(encArg(x_124))) [0]
   encode_1(cons_2(x_125)) -> 1'(2'(encArg(x_125))) [0]
   encode_1(cons_3(x_126)) -> 1'(3'(encArg(x_126))) [0]
   encode_1(x_1) -> 1'(const) [0]
   encode_3(cons_0(x_127)) -> 3'(0'(encArg(x_127))) [0]
   encode_3(cons_1(x_128)) -> 3'(1'(encArg(x_128))) [0]
   encode_3(cons_2(x_129)) -> 3'(2'(encArg(x_129))) [0]
   encode_3(cons_3(x_130)) -> 3'(3'(encArg(x_130))) [0]
   encode_3(x_1) -> 3'(const) [0]
   0'(x0) -> c_0(x0) [0]
   1'(x0) -> c_1(x0) [0]
   2'(x0) -> c_2(x0) [0]
   3'(x0) -> c_3(x0) [0]
   encArg(v0) -> const [0]
   encode_0(v0) -> const [0]
   encode_2(v0) -> const [0]
   encode_1(v0) -> const [0]
   encode_3(v0) -> const [0]
   0'(v0) -> const [0]
   1'(v0) -> const [0]
   2'(v0) -> const [0]
   3'(v0) -> const [0]

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

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

(29) CpxTypedWeightedTrsToRntsProof (UPPER BOUND(ID))
Transformed the TRS into an over-approximating RNTS by (improved) Size Abstraction.
The constant constructors are abstracted as follows:

   const => 0
   const1 => 0

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

(30)
Obligation:
Complexity RNTS consisting of the following rules:

   0'(z) -{ 2 }-> 0'(3'(0'(0'(0'(0'(1'(2'(0'(3'(3'(0'(0'(3'(0'(1'(3'(0'(3'(0'(0'(0'(0'(1'(2'(0'(3'(3'(0'(0'(3'(0'(1'(3'(0'(x1715))))))))))))))))))))))))))))))))))) :|: x1715 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1715)))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 0'(3'(0'(0'(0'(0'(1'(2'(0'(3'(3'(0'(0'(3'(0'(1'(3'(0'(2'(3'(0'(3'(2'(2'(1'(2'(1'(1'(0'(0'(3'(0'(0'(1'(1'(x1717))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1717))))))))))))))))))))))))))))))))), x1717 >= 0
   0'(z) -{ 2 }-> 0'(3'(0'(0'(0'(0'(1'(2'(0'(3'(3'(0'(0'(3'(0'(1'(3'(0'(2'(2'(2'(2'(1'(3'(0'(0'(2'(1'(0'(2'(2'(2'(2'(0'(0'(x1718))))))))))))))))))))))))))))))))))) :|: x1718 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1718)))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 0'(3'(0'(0'(0'(0'(1'(2'(0'(3'(3'(0'(0'(3'(0'(1'(3'(0'(2'(1'(3'(0'(0'(3'(3'(0'(1'(0'(2'(2'(3'(3'(0'(0'(3'(x1711))))))))))))))))))))))))))))))))))) :|: x1711 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1711)))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 0'(3'(0'(0'(0'(0'(1'(2'(0'(3'(3'(0'(0'(3'(0'(1'(3'(0'(2'(1'(1'(3'(0'(0'(0'(1'(0'(2'(3'(1'(2'(2'(0'(2'(1'(x1714))))))))))))))))))))))))))))))))))) :|: x1714 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1714)))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 0'(3'(0'(0'(0'(0'(1'(2'(0'(3'(3'(0'(0'(3'(0'(1'(3'(0'(2'(1'(1'(1'(0'(2'(2'(0'(0'(1'(1'(0'(3'(0'(1'(3'(2'(x1716))))))))))))))))))))))))))))))))))) :|: x1716 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1716)))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 0'(3'(0'(0'(0'(0'(1'(2'(0'(3'(3'(0'(0'(3'(0'(1'(3'(0'(2'(0'(1'(3'(1'(1'(3'(1'(0'(1'(3'(2'(1'(3'(1'(1'(3'(x1720))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1720))))))))))))))))))))))))))))))))), x1720 >= 0
   0'(z) -{ 2 }-> 0'(3'(0'(0'(0'(0'(1'(2'(0'(3'(3'(0'(0'(3'(0'(1'(3'(0'(1'(2'(0'(0'(2'(1'(1'(0'(1'(1'(1'(0'(1'(3'(0'(2'(3'(x1712))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1712))))))))))))))))))))))))))))))))), x1712 >= 0
   0'(z) -{ 2 }-> 0'(3'(0'(0'(0'(0'(1'(2'(0'(3'(3'(0'(0'(3'(0'(1'(3'(0'(0'(2'(2'(1'(3'(0'(0'(1'(3'(0'(1'(0'(1'(0'(0'(1'(3'(x1721))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1721))))))))))))))))))))))))))))))))), x1721 >= 0
   0'(z) -{ 2 }-> 0'(3'(0'(0'(0'(0'(1'(2'(0'(3'(3'(0'(0'(3'(0'(1'(3'(0'(0'(1'(3'(0'(0'(2'(2'(2'(3'(2'(1'(1'(1'(1'(0'(3'(2'(x1719))))))))))))))))))))))))))))))))))) :|: x1719 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1719)))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 0'(3'(0'(0'(0'(0'(1'(2'(0'(3'(3'(0'(0'(3'(0'(1'(3'(0'(0'(1'(1'(3'(0'(3'(0'(0'(2'(2'(2'(0'(2'(2'(1'(3'(1'(x1713))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1713))))))))))))))))))))))))))))))))), x1713 >= 0
   0'(z) -{ 1 }-> 0'(3'(0'(0'(0'(0'(1'(2'(0'(3'(3'(0'(0'(3'(0'(1'(3'(0))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   0'(z) -{ 1 }-> 0'(3'(0'(0'(0'(0'(1'(2'(0'(3'(3'(0'(0'(3'(0'(1'(3'(1 + x1))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   0'(z) -{ 1 }-> 0'(2'(3'(0'(3'(2'(2'(1'(2'(1'(1'(0'(0'(3'(0'(0'(1'(1'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   0'(z) -{ 2 }-> 0'(2'(2'(2'(2'(1'(3'(0'(0'(2'(1'(0'(2'(2'(2'(2'(0'(0'(3'(0'(0'(0'(0'(1'(2'(0'(3'(3'(0'(0'(3'(0'(1'(3'(0'(x11113))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11113))))))))))))))))))))))))))))))))), x11113 >= 0
   0'(z) -{ 2 }-> 0'(2'(2'(2'(2'(1'(3'(0'(0'(2'(1'(0'(2'(2'(2'(2'(0'(0'(2'(3'(0'(3'(2'(2'(1'(2'(1'(1'(0'(0'(3'(0'(0'(1'(1'(x11115))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11115))))))))))))))))))))))))))))))))), x11115 >= 0
   0'(z) -{ 2 }-> 0'(2'(2'(2'(2'(1'(3'(0'(0'(2'(1'(0'(2'(2'(2'(2'(0'(0'(2'(2'(2'(2'(1'(3'(0'(0'(2'(1'(0'(2'(2'(2'(2'(0'(0'(x11116))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11116))))))))))))))))))))))))))))))))), x11116 >= 0
   0'(z) -{ 2 }-> 0'(2'(2'(2'(2'(1'(3'(0'(0'(2'(1'(0'(2'(2'(2'(2'(0'(0'(2'(1'(3'(0'(0'(3'(3'(0'(1'(0'(2'(2'(3'(3'(0'(0'(3'(x11109))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11109))))))))))))))))))))))))))))))))), x11109 >= 0
   0'(z) -{ 2 }-> 0'(2'(2'(2'(2'(1'(3'(0'(0'(2'(1'(0'(2'(2'(2'(2'(0'(0'(2'(1'(1'(3'(0'(0'(0'(1'(0'(2'(3'(1'(2'(2'(0'(2'(1'(x11112))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11112))))))))))))))))))))))))))))))))), x11112 >= 0
   0'(z) -{ 2 }-> 0'(2'(2'(2'(2'(1'(3'(0'(0'(2'(1'(0'(2'(2'(2'(2'(0'(0'(2'(1'(1'(1'(0'(2'(2'(0'(0'(1'(1'(0'(3'(0'(1'(3'(2'(x11114))))))))))))))))))))))))))))))))))) :|: x11114 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11114)))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 0'(2'(2'(2'(2'(1'(3'(0'(0'(2'(1'(0'(2'(2'(2'(2'(0'(0'(2'(0'(1'(3'(1'(1'(3'(1'(0'(1'(3'(2'(1'(3'(1'(1'(3'(x11118))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11118))))))))))))))))))))))))))))))))), x11118 >= 0
   0'(z) -{ 2 }-> 0'(2'(2'(2'(2'(1'(3'(0'(0'(2'(1'(0'(2'(2'(2'(2'(0'(0'(1'(2'(0'(0'(2'(1'(1'(0'(1'(1'(1'(0'(1'(3'(0'(2'(3'(x11110))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11110))))))))))))))))))))))))))))))))), x11110 >= 0
   0'(z) -{ 2 }-> 0'(2'(2'(2'(2'(1'(3'(0'(0'(2'(1'(0'(2'(2'(2'(2'(0'(0'(0'(2'(2'(1'(3'(0'(0'(1'(3'(0'(1'(0'(1'(0'(0'(1'(3'(x11119))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11119))))))))))))))))))))))))))))))))), x11119 >= 0
   0'(z) -{ 2 }-> 0'(2'(2'(2'(2'(1'(3'(0'(0'(2'(1'(0'(2'(2'(2'(2'(0'(0'(0'(1'(3'(0'(0'(2'(2'(2'(3'(2'(1'(1'(1'(1'(0'(3'(2'(x11117))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11117))))))))))))))))))))))))))))))))), x11117 >= 0
   0'(z) -{ 2 }-> 0'(2'(2'(2'(2'(1'(3'(0'(0'(2'(1'(0'(2'(2'(2'(2'(0'(0'(0'(1'(1'(3'(0'(3'(0'(0'(2'(2'(2'(0'(2'(2'(1'(3'(1'(x11111))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11111))))))))))))))))))))))))))))))))), x11111 >= 0
   0'(z) -{ 1 }-> 0'(2'(2'(2'(2'(1'(3'(0'(0'(2'(1'(0'(2'(2'(2'(2'(0'(0))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   0'(z) -{ 1 }-> 0'(2'(2'(2'(2'(1'(3'(0'(0'(2'(1'(0'(2'(2'(2'(2'(0'(1 + x1))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   0'(z) -{ 2 }-> 0'(2'(1'(3'(0'(0'(3'(3'(0'(1'(0'(2'(2'(3'(3'(0'(0'(3'(3'(3'(2'(0'(3'(0'(3'(0'(1'(0'(0'(1'(3'(0'(2'(2'(2'(x165))))))))))))))))))))))))))))))))))) :|: x165 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x165)))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 0'(2'(1'(3'(0'(0'(3'(3'(0'(1'(0'(2'(2'(3'(3'(0'(0'(3'(3'(3'(1'(2'(3'(1'(3'(0'(2'(2'(1'(3'(0'(2'(1'(1'(1'(x162))))))))))))))))))))))))))))))))))) :|: x162 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x162)))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 0'(2'(1'(3'(0'(0'(3'(3'(0'(1'(0'(2'(2'(3'(3'(0'(0'(3'(2'(3'(1'(1'(1'(0'(3'(3'(0'(2'(1'(3'(0'(1'(3'(1'(3'(x164))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x164))))))))))))))))))))))))))))))))), x164 >= 0
   0'(z) -{ 2 }-> 0'(2'(1'(3'(0'(0'(3'(3'(0'(1'(0'(2'(2'(3'(3'(0'(0'(3'(2'(2'(3'(1'(3'(3'(2'(1'(3'(3'(0'(2'(0'(2'(3'(1'(3'(x166))))))))))))))))))))))))))))))))))) :|: x166 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x166)))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 0'(2'(1'(3'(0'(0'(3'(3'(0'(1'(0'(2'(2'(3'(3'(0'(0'(3'(1'(3'(2'(1'(3'(0'(2'(1'(0'(0'(2'(3'(1'(2'(3'(3'(0'(x160))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x160))))))))))))))))))))))))))))))))), x160 >= 0
   0'(z) -{ 2 }-> 0'(2'(1'(3'(0'(0'(3'(3'(0'(1'(0'(2'(2'(3'(3'(0'(0'(3'(1'(3'(2'(1'(1'(1'(3'(3'(0'(3'(2'(1'(3'(0'(1'(3'(1'(x163))))))))))))))))))))))))))))))))))) :|: x163 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x163)))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 0'(2'(1'(3'(0'(0'(3'(3'(0'(1'(0'(2'(2'(3'(3'(0'(0'(3'(0'(1'(3'(2'(3'(3'(1'(1'(0'(2'(0'(0'(3'(1'(3'(0'(2'(x157))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x157))))))))))))))))))))))))))))))))), x157 >= 0
   0'(z) -{ 2 }-> 0'(2'(1'(3'(0'(0'(3'(3'(0'(1'(0'(2'(2'(3'(3'(0'(0'(3'(0'(1'(3'(2'(0'(3'(0'(1'(2'(3'(0'(2'(0'(2'(2'(1'(1'(x161))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x161))))))))))))))))))))))))))))))))), x161 >= 0
   0'(z) -{ 2 }-> 0'(2'(1'(3'(0'(0'(3'(3'(0'(1'(0'(2'(2'(3'(3'(0'(0'(3'(0'(1'(2'(1'(3'(3'(1'(3'(0'(1'(3'(1'(2'(0'(1'(3'(2'(x159))))))))))))))))))))))))))))))))))) :|: x159 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x159)))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 0'(2'(1'(3'(0'(0'(3'(3'(0'(1'(0'(2'(2'(3'(3'(0'(0'(3'(0'(0'(2'(1'(3'(2'(3'(3'(1'(1'(3'(1'(1'(0'(2'(0'(1'(x167))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x167))))))))))))))))))))))))))))))))), x167 >= 0
   0'(z) -{ 2 }-> 0'(2'(1'(3'(0'(0'(3'(3'(0'(1'(0'(2'(2'(3'(3'(0'(0'(1'(3'(0'(2'(0'(0'(3'(3'(2'(1'(3'(0'(3'(3'(1'(3'(3'(0'(x158))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x158))))))))))))))))))))))))))))))))), x158 >= 0
   0'(z) -{ 1 }-> 0'(2'(1'(3'(0'(0'(3'(3'(0'(1'(0'(2'(2'(3'(3'(0'(0'(0))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   0'(z) -{ 1 }-> 0'(2'(1'(3'(0'(0'(3'(3'(0'(1'(0'(2'(2'(3'(3'(0'(0'(1 + x1))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   0'(z) -{ 1 }-> 0'(2'(1'(1'(3'(0'(0'(0'(1'(0'(2'(3'(1'(2'(2'(0'(2'(1'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   0'(z) -{ 1 }-> 0'(2'(1'(1'(1'(0'(2'(2'(0'(0'(1'(1'(0'(3'(0'(1'(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) -{ 2 }-> 0'(2'(0'(1'(3'(1'(1'(3'(1'(0'(1'(3'(2'(1'(3'(1'(1'(3'(3'(3'(2'(0'(3'(0'(3'(0'(1'(0'(0'(1'(3'(0'(2'(2'(2'(x11341))))))))))))))))))))))))))))))))))) :|: x11341 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11341)))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 0'(2'(0'(1'(3'(1'(1'(3'(1'(0'(1'(3'(2'(1'(3'(1'(1'(3'(3'(3'(1'(2'(3'(1'(3'(0'(2'(2'(1'(3'(0'(2'(1'(1'(1'(x11338))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11338))))))))))))))))))))))))))))))))), x11338 >= 0
   0'(z) -{ 2 }-> 0'(2'(0'(1'(3'(1'(1'(3'(1'(0'(1'(3'(2'(1'(3'(1'(1'(3'(2'(3'(1'(1'(1'(0'(3'(3'(0'(2'(1'(3'(0'(1'(3'(1'(3'(x11340))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11340))))))))))))))))))))))))))))))))), x11340 >= 0
   0'(z) -{ 2 }-> 0'(2'(0'(1'(3'(1'(1'(3'(1'(0'(1'(3'(2'(1'(3'(1'(1'(3'(2'(2'(3'(1'(3'(3'(2'(1'(3'(3'(0'(2'(0'(2'(3'(1'(3'(x11342))))))))))))))))))))))))))))))))))) :|: x11342 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11342)))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 0'(2'(0'(1'(3'(1'(1'(3'(1'(0'(1'(3'(2'(1'(3'(1'(1'(3'(1'(3'(2'(1'(3'(0'(2'(1'(0'(0'(2'(3'(1'(2'(3'(3'(0'(x11336))))))))))))))))))))))))))))))))))) :|: x11336 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11336)))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 0'(2'(0'(1'(3'(1'(1'(3'(1'(0'(1'(3'(2'(1'(3'(1'(1'(3'(1'(3'(2'(1'(1'(1'(3'(3'(0'(3'(2'(1'(3'(0'(1'(3'(1'(x11339))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11339))))))))))))))))))))))))))))))))), x11339 >= 0
   0'(z) -{ 2 }-> 0'(2'(0'(1'(3'(1'(1'(3'(1'(0'(1'(3'(2'(1'(3'(1'(1'(3'(0'(1'(3'(2'(3'(3'(1'(1'(0'(2'(0'(0'(3'(1'(3'(0'(2'(x11333))))))))))))))))))))))))))))))))))) :|: x11333 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11333)))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 0'(2'(0'(1'(3'(1'(1'(3'(1'(0'(1'(3'(2'(1'(3'(1'(1'(3'(0'(1'(3'(2'(0'(3'(0'(1'(2'(3'(0'(2'(0'(2'(2'(1'(1'(x11337))))))))))))))))))))))))))))))))))) :|: x11337 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11337)))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 0'(2'(0'(1'(3'(1'(1'(3'(1'(0'(1'(3'(2'(1'(3'(1'(1'(3'(0'(1'(2'(1'(3'(3'(1'(3'(0'(1'(3'(1'(2'(0'(1'(3'(2'(x11335))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11335))))))))))))))))))))))))))))))))), x11335 >= 0
   0'(z) -{ 2 }-> 0'(2'(0'(1'(3'(1'(1'(3'(1'(0'(1'(3'(2'(1'(3'(1'(1'(3'(0'(0'(2'(1'(3'(2'(3'(3'(1'(1'(3'(1'(1'(0'(2'(0'(1'(x11343))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11343))))))))))))))))))))))))))))))))), x11343 >= 0
   0'(z) -{ 2 }-> 0'(2'(0'(1'(3'(1'(1'(3'(1'(0'(1'(3'(2'(1'(3'(1'(1'(1'(3'(0'(2'(0'(0'(3'(3'(2'(1'(3'(0'(3'(3'(1'(3'(3'(0'(x11334))))))))))))))))))))))))))))))))))) :|: x11334 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11334)))))))))))))))))))))))))))))))))
   0'(z) -{ 1 }-> 0'(2'(0'(1'(3'(1'(1'(3'(1'(0'(1'(3'(2'(1'(3'(1'(1'(0))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   0'(z) -{ 1 }-> 0'(2'(0'(1'(3'(1'(1'(3'(1'(0'(1'(3'(2'(1'(3'(1'(1'(1 + x1))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   0'(z) -{ 2 }-> 0'(1'(2'(0'(0'(2'(1'(1'(0'(1'(1'(1'(0'(1'(3'(0'(2'(3'(3'(3'(2'(0'(3'(0'(3'(0'(1'(0'(0'(1'(3'(0'(2'(2'(2'(x1411))))))))))))))))))))))))))))))))))) :|: x1411 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1411)))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 0'(1'(2'(0'(0'(2'(1'(1'(0'(1'(1'(1'(0'(1'(3'(0'(2'(3'(3'(3'(1'(2'(3'(1'(3'(0'(2'(2'(1'(3'(0'(2'(1'(1'(1'(x1408))))))))))))))))))))))))))))))))))) :|: x1408 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1408)))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 0'(1'(2'(0'(0'(2'(1'(1'(0'(1'(1'(1'(0'(1'(3'(0'(2'(3'(2'(3'(1'(1'(1'(0'(3'(3'(0'(2'(1'(3'(0'(1'(3'(1'(3'(x1410))))))))))))))))))))))))))))))))))) :|: x1410 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1410)))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 0'(1'(2'(0'(0'(2'(1'(1'(0'(1'(1'(1'(0'(1'(3'(0'(2'(3'(2'(2'(3'(1'(3'(3'(2'(1'(3'(3'(0'(2'(0'(2'(3'(1'(3'(x1412))))))))))))))))))))))))))))))))))) :|: x1412 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1412)))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 0'(1'(2'(0'(0'(2'(1'(1'(0'(1'(1'(1'(0'(1'(3'(0'(2'(3'(1'(3'(2'(1'(3'(0'(2'(1'(0'(0'(2'(3'(1'(2'(3'(3'(0'(x1406))))))))))))))))))))))))))))))))))) :|: x1406 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1406)))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 0'(1'(2'(0'(0'(2'(1'(1'(0'(1'(1'(1'(0'(1'(3'(0'(2'(3'(1'(3'(2'(1'(1'(1'(3'(3'(0'(3'(2'(1'(3'(0'(1'(3'(1'(x1409))))))))))))))))))))))))))))))))))) :|: x1409 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1409)))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 0'(1'(2'(0'(0'(2'(1'(1'(0'(1'(1'(1'(0'(1'(3'(0'(2'(3'(0'(1'(3'(2'(3'(3'(1'(1'(0'(2'(0'(0'(3'(1'(3'(0'(2'(x1403))))))))))))))))))))))))))))))))))) :|: x1403 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1403)))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 0'(1'(2'(0'(0'(2'(1'(1'(0'(1'(1'(1'(0'(1'(3'(0'(2'(3'(0'(1'(3'(2'(0'(3'(0'(1'(2'(3'(0'(2'(0'(2'(2'(1'(1'(x1407))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1407))))))))))))))))))))))))))))))))), x1407 >= 0
   0'(z) -{ 2 }-> 0'(1'(2'(0'(0'(2'(1'(1'(0'(1'(1'(1'(0'(1'(3'(0'(2'(3'(0'(1'(2'(1'(3'(3'(1'(3'(0'(1'(3'(1'(2'(0'(1'(3'(2'(x1405))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1405))))))))))))))))))))))))))))))))), x1405 >= 0
   0'(z) -{ 2 }-> 0'(1'(2'(0'(0'(2'(1'(1'(0'(1'(1'(1'(0'(1'(3'(0'(2'(3'(0'(0'(2'(1'(3'(2'(3'(3'(1'(1'(3'(1'(1'(0'(2'(0'(1'(x1413))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1413))))))))))))))))))))))))))))))))), x1413 >= 0
   0'(z) -{ 2 }-> 0'(1'(2'(0'(0'(2'(1'(1'(0'(1'(1'(1'(0'(1'(3'(0'(2'(1'(3'(0'(2'(0'(0'(3'(3'(2'(1'(3'(0'(3'(3'(1'(3'(3'(0'(x1404))))))))))))))))))))))))))))))))))) :|: x1404 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1404)))))))))))))))))))))))))))))))))
   0'(z) -{ 1 }-> 0'(1'(2'(0'(0'(2'(1'(1'(0'(1'(1'(1'(0'(1'(3'(0'(2'(0))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   0'(z) -{ 1 }-> 0'(1'(2'(0'(0'(2'(1'(1'(0'(1'(1'(1'(0'(1'(3'(0'(2'(1 + x1))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   0'(z) -{ 2 }-> 0'(0'(2'(2'(1'(3'(0'(0'(1'(3'(0'(1'(0'(1'(0'(0'(1'(3'(3'(3'(2'(0'(3'(0'(3'(0'(1'(0'(0'(1'(3'(0'(2'(2'(2'(x11602))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11602))))))))))))))))))))))))))))))))), x11602 >= 0
   0'(z) -{ 2 }-> 0'(0'(2'(2'(1'(3'(0'(0'(1'(3'(0'(1'(0'(1'(0'(0'(1'(3'(3'(3'(1'(2'(3'(1'(3'(0'(2'(2'(1'(3'(0'(2'(1'(1'(1'(x11599))))))))))))))))))))))))))))))))))) :|: x11599 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11599)))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 0'(0'(2'(2'(1'(3'(0'(0'(1'(3'(0'(1'(0'(1'(0'(0'(1'(3'(2'(3'(1'(1'(1'(0'(3'(3'(0'(2'(1'(3'(0'(1'(3'(1'(3'(x11601))))))))))))))))))))))))))))))))))) :|: x11601 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11601)))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 0'(0'(2'(2'(1'(3'(0'(0'(1'(3'(0'(1'(0'(1'(0'(0'(1'(3'(2'(2'(3'(1'(3'(3'(2'(1'(3'(3'(0'(2'(0'(2'(3'(1'(3'(x11603))))))))))))))))))))))))))))))))))) :|: x11603 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11603)))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 0'(0'(2'(2'(1'(3'(0'(0'(1'(3'(0'(1'(0'(1'(0'(0'(1'(3'(1'(3'(2'(1'(3'(0'(2'(1'(0'(0'(2'(3'(1'(2'(3'(3'(0'(x11597))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11597))))))))))))))))))))))))))))))))), x11597 >= 0
   0'(z) -{ 2 }-> 0'(0'(2'(2'(1'(3'(0'(0'(1'(3'(0'(1'(0'(1'(0'(0'(1'(3'(1'(3'(2'(1'(1'(1'(3'(3'(0'(3'(2'(1'(3'(0'(1'(3'(1'(x11600))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11600))))))))))))))))))))))))))))))))), x11600 >= 0
   0'(z) -{ 2 }-> 0'(0'(2'(2'(1'(3'(0'(0'(1'(3'(0'(1'(0'(1'(0'(0'(1'(3'(0'(1'(3'(2'(3'(3'(1'(1'(0'(2'(0'(0'(3'(1'(3'(0'(2'(x11594))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11594))))))))))))))))))))))))))))))))), x11594 >= 0
   0'(z) -{ 2 }-> 0'(0'(2'(2'(1'(3'(0'(0'(1'(3'(0'(1'(0'(1'(0'(0'(1'(3'(0'(1'(3'(2'(0'(3'(0'(1'(2'(3'(0'(2'(0'(2'(2'(1'(1'(x11598))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11598))))))))))))))))))))))))))))))))), x11598 >= 0
   0'(z) -{ 2 }-> 0'(0'(2'(2'(1'(3'(0'(0'(1'(3'(0'(1'(0'(1'(0'(0'(1'(3'(0'(1'(2'(1'(3'(3'(1'(3'(0'(1'(3'(1'(2'(0'(1'(3'(2'(x11596))))))))))))))))))))))))))))))))))) :|: x11596 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11596)))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 0'(0'(2'(2'(1'(3'(0'(0'(1'(3'(0'(1'(0'(1'(0'(0'(1'(3'(0'(0'(2'(1'(3'(2'(3'(3'(1'(1'(3'(1'(1'(0'(2'(0'(1'(x11604))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11604))))))))))))))))))))))))))))))))), x11604 >= 0
   0'(z) -{ 2 }-> 0'(0'(2'(2'(1'(3'(0'(0'(1'(3'(0'(1'(0'(1'(0'(0'(1'(1'(3'(0'(2'(0'(0'(3'(3'(2'(1'(3'(0'(3'(3'(1'(3'(3'(0'(x11595))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11595))))))))))))))))))))))))))))))))), x11595 >= 0
   0'(z) -{ 1 }-> 0'(0'(2'(2'(1'(3'(0'(0'(1'(3'(0'(1'(0'(1'(0'(0'(1'(0))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   0'(z) -{ 1 }-> 0'(0'(2'(2'(1'(3'(0'(0'(1'(3'(0'(1'(0'(1'(0'(0'(1'(1 + x1))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   0'(z) -{ 1 }-> 0'(0'(1'(3'(0'(0'(2'(2'(2'(3'(2'(1'(1'(1'(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
   0'(z) -{ 1 }-> 0'(0'(1'(1'(3'(0'(3'(0'(0'(2'(2'(2'(0'(2'(2'(1'(3'(1'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   0'(z) -{ 0 }-> 0 :|: v0 >= 0, z = v0
   0'(z) -{ 0 }-> 1 + x0 :|: z = x0, x0 >= 0
   1'(z) -{ 1 }-> 3'(3'(0'(0'(2'(0'(2'(2'(1'(1'(1'(3'(1'(2'(2'(1'(2'(1'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   1'(z) -{ 2 }-> 3'(1'(3'(2'(1'(1'(0'(0'(2'(0'(0'(3'(1'(3'(2'(2'(1'(3'(3'(3'(2'(0'(3'(0'(3'(0'(1'(0'(0'(1'(3'(0'(2'(2'(2'(x1471))))))))))))))))))))))))))))))))))) :|: x1471 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1471)))))))))))))))))))))))))))))))))
   1'(z) -{ 2 }-> 3'(1'(3'(2'(1'(1'(0'(0'(2'(0'(0'(3'(1'(3'(2'(2'(1'(3'(3'(3'(1'(2'(3'(1'(3'(0'(2'(2'(1'(3'(0'(2'(1'(1'(1'(x1468))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1468))))))))))))))))))))))))))))))))), x1468 >= 0
   1'(z) -{ 2 }-> 3'(1'(3'(2'(1'(1'(0'(0'(2'(0'(0'(3'(1'(3'(2'(2'(1'(3'(2'(3'(1'(1'(1'(0'(3'(3'(0'(2'(1'(3'(0'(1'(3'(1'(3'(x1470))))))))))))))))))))))))))))))))))) :|: x1470 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1470)))))))))))))))))))))))))))))))))
   1'(z) -{ 2 }-> 3'(1'(3'(2'(1'(1'(0'(0'(2'(0'(0'(3'(1'(3'(2'(2'(1'(3'(2'(2'(3'(1'(3'(3'(2'(1'(3'(3'(0'(2'(0'(2'(3'(1'(3'(x1472))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1472))))))))))))))))))))))))))))))))), x1472 >= 0
   1'(z) -{ 2 }-> 3'(1'(3'(2'(1'(1'(0'(0'(2'(0'(0'(3'(1'(3'(2'(2'(1'(3'(1'(3'(2'(1'(3'(0'(2'(1'(0'(0'(2'(3'(1'(2'(3'(3'(0'(x1466))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1466))))))))))))))))))))))))))))))))), x1466 >= 0
   1'(z) -{ 2 }-> 3'(1'(3'(2'(1'(1'(0'(0'(2'(0'(0'(3'(1'(3'(2'(2'(1'(3'(1'(3'(2'(1'(1'(1'(3'(3'(0'(3'(2'(1'(3'(0'(1'(3'(1'(x1469))))))))))))))))))))))))))))))))))) :|: x1469 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1469)))))))))))))))))))))))))))))))))
   1'(z) -{ 2 }-> 3'(1'(3'(2'(1'(1'(0'(0'(2'(0'(0'(3'(1'(3'(2'(2'(1'(3'(0'(1'(3'(2'(3'(3'(1'(1'(0'(2'(0'(0'(3'(1'(3'(0'(2'(x1463))))))))))))))))))))))))))))))))))) :|: x1463 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1463)))))))))))))))))))))))))))))))))
   1'(z) -{ 2 }-> 3'(1'(3'(2'(1'(1'(0'(0'(2'(0'(0'(3'(1'(3'(2'(2'(1'(3'(0'(1'(3'(2'(0'(3'(0'(1'(2'(3'(0'(2'(0'(2'(2'(1'(1'(x1467))))))))))))))))))))))))))))))))))) :|: x1467 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1467)))))))))))))))))))))))))))))))))
   1'(z) -{ 2 }-> 3'(1'(3'(2'(1'(1'(0'(0'(2'(0'(0'(3'(1'(3'(2'(2'(1'(3'(0'(1'(2'(1'(3'(3'(1'(3'(0'(1'(3'(1'(2'(0'(1'(3'(2'(x1465))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1465))))))))))))))))))))))))))))))))), x1465 >= 0
   1'(z) -{ 2 }-> 3'(1'(3'(2'(1'(1'(0'(0'(2'(0'(0'(3'(1'(3'(2'(2'(1'(3'(0'(0'(2'(1'(3'(2'(3'(3'(1'(1'(3'(1'(1'(0'(2'(0'(1'(x1473))))))))))))))))))))))))))))))))))) :|: x1473 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1473)))))))))))))))))))))))))))))))))
   1'(z) -{ 2 }-> 3'(1'(3'(2'(1'(1'(0'(0'(2'(0'(0'(3'(1'(3'(2'(2'(1'(1'(3'(0'(2'(0'(0'(3'(3'(2'(1'(3'(0'(3'(3'(1'(3'(3'(0'(x1464))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1464))))))))))))))))))))))))))))))))), x1464 >= 0
   1'(z) -{ 1 }-> 3'(1'(3'(2'(1'(1'(0'(0'(2'(0'(0'(3'(1'(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
   1'(z) -{ 1 }-> 3'(1'(3'(2'(1'(1'(0'(0'(2'(0'(0'(3'(1'(3'(2'(2'(1'(1 + x1))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   1'(z) -{ 2 }-> 3'(1'(3'(0'(2'(3'(3'(1'(3'(0'(2'(1'(2'(0'(0'(1'(3'(3'(3'(3'(2'(0'(3'(0'(3'(0'(1'(0'(0'(1'(3'(0'(2'(2'(2'(x11682))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11682))))))))))))))))))))))))))))))))), x11682 >= 0
   1'(z) -{ 2 }-> 3'(1'(3'(0'(2'(3'(3'(1'(3'(0'(2'(1'(2'(0'(0'(1'(3'(3'(3'(3'(1'(2'(3'(1'(3'(0'(2'(2'(1'(3'(0'(2'(1'(1'(1'(x11679))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11679))))))))))))))))))))))))))))))))), x11679 >= 0
   1'(z) -{ 2 }-> 3'(1'(3'(0'(2'(3'(3'(1'(3'(0'(2'(1'(2'(0'(0'(1'(3'(3'(2'(3'(1'(1'(1'(0'(3'(3'(0'(2'(1'(3'(0'(1'(3'(1'(3'(x11681))))))))))))))))))))))))))))))))))) :|: x11681 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11681)))))))))))))))))))))))))))))))))
   1'(z) -{ 2 }-> 3'(1'(3'(0'(2'(3'(3'(1'(3'(0'(2'(1'(2'(0'(0'(1'(3'(3'(2'(2'(3'(1'(3'(3'(2'(1'(3'(3'(0'(2'(0'(2'(3'(1'(3'(x11683))))))))))))))))))))))))))))))))))) :|: x11683 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11683)))))))))))))))))))))))))))))))))
   1'(z) -{ 2 }-> 3'(1'(3'(0'(2'(3'(3'(1'(3'(0'(2'(1'(2'(0'(0'(1'(3'(3'(1'(3'(2'(1'(3'(0'(2'(1'(0'(0'(2'(3'(1'(2'(3'(3'(0'(x11677))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11677))))))))))))))))))))))))))))))))), x11677 >= 0
   1'(z) -{ 2 }-> 3'(1'(3'(0'(2'(3'(3'(1'(3'(0'(2'(1'(2'(0'(0'(1'(3'(3'(1'(3'(2'(1'(1'(1'(3'(3'(0'(3'(2'(1'(3'(0'(1'(3'(1'(x11680))))))))))))))))))))))))))))))))))) :|: x11680 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11680)))))))))))))))))))))))))))))))))
   1'(z) -{ 2 }-> 3'(1'(3'(0'(2'(3'(3'(1'(3'(0'(2'(1'(2'(0'(0'(1'(3'(3'(0'(1'(3'(2'(3'(3'(1'(1'(0'(2'(0'(0'(3'(1'(3'(0'(2'(x11674))))))))))))))))))))))))))))))))))) :|: x11674 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11674)))))))))))))))))))))))))))))))))
   1'(z) -{ 2 }-> 3'(1'(3'(0'(2'(3'(3'(1'(3'(0'(2'(1'(2'(0'(0'(1'(3'(3'(0'(1'(3'(2'(0'(3'(0'(1'(2'(3'(0'(2'(0'(2'(2'(1'(1'(x11678))))))))))))))))))))))))))))))))))) :|: x11678 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11678)))))))))))))))))))))))))))))))))
   1'(z) -{ 2 }-> 3'(1'(3'(0'(2'(3'(3'(1'(3'(0'(2'(1'(2'(0'(0'(1'(3'(3'(0'(1'(2'(1'(3'(3'(1'(3'(0'(1'(3'(1'(2'(0'(1'(3'(2'(x11676))))))))))))))))))))))))))))))))))) :|: x11676 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11676)))))))))))))))))))))))))))))))))
   1'(z) -{ 2 }-> 3'(1'(3'(0'(2'(3'(3'(1'(3'(0'(2'(1'(2'(0'(0'(1'(3'(3'(0'(0'(2'(1'(3'(2'(3'(3'(1'(1'(3'(1'(1'(0'(2'(0'(1'(x11684))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11684))))))))))))))))))))))))))))))))), x11684 >= 0
   1'(z) -{ 2 }-> 3'(1'(3'(0'(2'(3'(3'(1'(3'(0'(2'(1'(2'(0'(0'(1'(3'(1'(3'(0'(2'(0'(0'(3'(3'(2'(1'(3'(0'(3'(3'(1'(3'(3'(0'(x11675))))))))))))))))))))))))))))))))))) :|: x11675 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11675)))))))))))))))))))))))))))))))))
   1'(z) -{ 1 }-> 3'(1'(3'(0'(2'(3'(3'(1'(3'(0'(2'(1'(2'(0'(0'(1'(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 }-> 3'(1'(3'(0'(2'(3'(3'(1'(3'(0'(2'(1'(2'(0'(0'(1'(3'(1 + x1))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   1'(z) -{ 1 }-> 3'(1'(2'(0'(1'(3'(2'(3'(2'(2'(0'(0'(0'(2'(3'(1'(1'(1'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   1'(z) -{ 2 }-> 3'(0'(2'(1'(1'(3'(3'(1'(0'(0'(2'(0'(2'(2'(3'(2'(0'(3'(3'(3'(2'(0'(3'(0'(3'(0'(1'(0'(0'(1'(3'(0'(2'(2'(2'(x1686))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1686))))))))))))))))))))))))))))))))), x1686 >= 0
   1'(z) -{ 2 }-> 3'(0'(2'(1'(1'(3'(3'(1'(0'(0'(2'(0'(2'(2'(3'(2'(0'(3'(3'(3'(1'(2'(3'(1'(3'(0'(2'(2'(1'(3'(0'(2'(1'(1'(1'(x1683))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1683))))))))))))))))))))))))))))))))), x1683 >= 0
   1'(z) -{ 2 }-> 3'(0'(2'(1'(1'(3'(3'(1'(0'(0'(2'(0'(2'(2'(3'(2'(0'(3'(2'(3'(1'(1'(1'(0'(3'(3'(0'(2'(1'(3'(0'(1'(3'(1'(3'(x1685))))))))))))))))))))))))))))))))))) :|: x1685 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1685)))))))))))))))))))))))))))))))))
   1'(z) -{ 2 }-> 3'(0'(2'(1'(1'(3'(3'(1'(0'(0'(2'(0'(2'(2'(3'(2'(0'(3'(2'(2'(3'(1'(3'(3'(2'(1'(3'(3'(0'(2'(0'(2'(3'(1'(3'(x1687))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1687))))))))))))))))))))))))))))))))), x1687 >= 0
   1'(z) -{ 2 }-> 3'(0'(2'(1'(1'(3'(3'(1'(0'(0'(2'(0'(2'(2'(3'(2'(0'(3'(1'(3'(2'(1'(3'(0'(2'(1'(0'(0'(2'(3'(1'(2'(3'(3'(0'(x1681))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1681))))))))))))))))))))))))))))))))), x1681 >= 0
   1'(z) -{ 2 }-> 3'(0'(2'(1'(1'(3'(3'(1'(0'(0'(2'(0'(2'(2'(3'(2'(0'(3'(1'(3'(2'(1'(1'(1'(3'(3'(0'(3'(2'(1'(3'(0'(1'(3'(1'(x1684))))))))))))))))))))))))))))))))))) :|: x1684 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1684)))))))))))))))))))))))))))))))))
   1'(z) -{ 2 }-> 3'(0'(2'(1'(1'(3'(3'(1'(0'(0'(2'(0'(2'(2'(3'(2'(0'(3'(0'(1'(3'(2'(3'(3'(1'(1'(0'(2'(0'(0'(3'(1'(3'(0'(2'(x1678))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1678))))))))))))))))))))))))))))))))), x1678 >= 0
   1'(z) -{ 2 }-> 3'(0'(2'(1'(1'(3'(3'(1'(0'(0'(2'(0'(2'(2'(3'(2'(0'(3'(0'(1'(3'(2'(0'(3'(0'(1'(2'(3'(0'(2'(0'(2'(2'(1'(1'(x1682))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1682))))))))))))))))))))))))))))))))), x1682 >= 0
   1'(z) -{ 2 }-> 3'(0'(2'(1'(1'(3'(3'(1'(0'(0'(2'(0'(2'(2'(3'(2'(0'(3'(0'(1'(2'(1'(3'(3'(1'(3'(0'(1'(3'(1'(2'(0'(1'(3'(2'(x1680))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1680))))))))))))))))))))))))))))))))), x1680 >= 0
   1'(z) -{ 2 }-> 3'(0'(2'(1'(1'(3'(3'(1'(0'(0'(2'(0'(2'(2'(3'(2'(0'(3'(0'(0'(2'(1'(3'(2'(3'(3'(1'(1'(3'(1'(1'(0'(2'(0'(1'(x1688))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1688))))))))))))))))))))))))))))))))), x1688 >= 0
   1'(z) -{ 2 }-> 3'(0'(2'(1'(1'(3'(3'(1'(0'(0'(2'(0'(2'(2'(3'(2'(0'(1'(3'(0'(2'(0'(0'(3'(3'(2'(1'(3'(0'(3'(3'(1'(3'(3'(0'(x1679))))))))))))))))))))))))))))))))))) :|: x1679 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1679)))))))))))))))))))))))))))))))))
   1'(z) -{ 1 }-> 3'(0'(2'(1'(1'(3'(3'(1'(0'(0'(2'(0'(2'(2'(3'(2'(0'(0))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   1'(z) -{ 1 }-> 3'(0'(2'(1'(1'(3'(3'(1'(0'(0'(2'(0'(2'(2'(3'(2'(0'(1 + x1))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   1'(z) -{ 1 }-> 2'(3'(2'(2'(3'(0'(2'(1'(3'(2'(2'(1'(1'(1'(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
   1'(z) -{ 1 }-> 2'(3'(2'(1'(0'(1'(3'(1'(3'(0'(2'(3'(0'(2'(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
   1'(z) -{ 1 }-> 2'(2'(1'(3'(0'(0'(1'(3'(1'(0'(2'(0'(0'(3'(3'(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
   1'(z) -{ 1 }-> 2'(1'(1'(0'(0'(1'(1'(2'(3'(3'(3'(0'(1'(2'(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
   1'(z) -{ 2 }-> 2'(0'(2'(3'(2'(0'(2'(0'(1'(2'(1'(3'(0'(1'(3'(0'(1'(3'(3'(3'(2'(0'(3'(0'(3'(0'(1'(0'(0'(1'(3'(0'(2'(2'(2'(x11044))))))))))))))))))))))))))))))))))) :|: x11044 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11044)))))))))))))))))))))))))))))))))
   1'(z) -{ 2 }-> 2'(0'(2'(3'(2'(0'(2'(0'(1'(2'(1'(3'(0'(1'(3'(0'(1'(3'(3'(3'(1'(2'(3'(1'(3'(0'(2'(2'(1'(3'(0'(2'(1'(1'(1'(x11041))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11041))))))))))))))))))))))))))))))))), x11041 >= 0
   1'(z) -{ 2 }-> 2'(0'(2'(3'(2'(0'(2'(0'(1'(2'(1'(3'(0'(1'(3'(0'(1'(3'(2'(3'(1'(1'(1'(0'(3'(3'(0'(2'(1'(3'(0'(1'(3'(1'(3'(x11043))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11043))))))))))))))))))))))))))))))))), x11043 >= 0
   1'(z) -{ 2 }-> 2'(0'(2'(3'(2'(0'(2'(0'(1'(2'(1'(3'(0'(1'(3'(0'(1'(3'(2'(2'(3'(1'(3'(3'(2'(1'(3'(3'(0'(2'(0'(2'(3'(1'(3'(x11045))))))))))))))))))))))))))))))))))) :|: x11045 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11045)))))))))))))))))))))))))))))))))
   1'(z) -{ 2 }-> 2'(0'(2'(3'(2'(0'(2'(0'(1'(2'(1'(3'(0'(1'(3'(0'(1'(3'(1'(3'(2'(1'(3'(0'(2'(1'(0'(0'(2'(3'(1'(2'(3'(3'(0'(x11039))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11039))))))))))))))))))))))))))))))))), x11039 >= 0
   1'(z) -{ 2 }-> 2'(0'(2'(3'(2'(0'(2'(0'(1'(2'(1'(3'(0'(1'(3'(0'(1'(3'(1'(3'(2'(1'(1'(1'(3'(3'(0'(3'(2'(1'(3'(0'(1'(3'(1'(x11042))))))))))))))))))))))))))))))))))) :|: x11042 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11042)))))))))))))))))))))))))))))))))
   1'(z) -{ 2 }-> 2'(0'(2'(3'(2'(0'(2'(0'(1'(2'(1'(3'(0'(1'(3'(0'(1'(3'(0'(1'(3'(2'(3'(3'(1'(1'(0'(2'(0'(0'(3'(1'(3'(0'(2'(x11036))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11036))))))))))))))))))))))))))))))))), x11036 >= 0
   1'(z) -{ 2 }-> 2'(0'(2'(3'(2'(0'(2'(0'(1'(2'(1'(3'(0'(1'(3'(0'(1'(3'(0'(1'(3'(2'(0'(3'(0'(1'(2'(3'(0'(2'(0'(2'(2'(1'(1'(x11040))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11040))))))))))))))))))))))))))))))))), x11040 >= 0
   1'(z) -{ 2 }-> 2'(0'(2'(3'(2'(0'(2'(0'(1'(2'(1'(3'(0'(1'(3'(0'(1'(3'(0'(1'(2'(1'(3'(3'(1'(3'(0'(1'(3'(1'(2'(0'(1'(3'(2'(x11038))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11038))))))))))))))))))))))))))))))))), x11038 >= 0
   1'(z) -{ 2 }-> 2'(0'(2'(3'(2'(0'(2'(0'(1'(2'(1'(3'(0'(1'(3'(0'(1'(3'(0'(0'(2'(1'(3'(2'(3'(3'(1'(1'(3'(1'(1'(0'(2'(0'(1'(x11046))))))))))))))))))))))))))))))))))) :|: x11046 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11046)))))))))))))))))))))))))))))))))
   1'(z) -{ 2 }-> 2'(0'(2'(3'(2'(0'(2'(0'(1'(2'(1'(3'(0'(1'(3'(0'(1'(1'(3'(0'(2'(0'(0'(3'(3'(2'(1'(3'(0'(3'(3'(1'(3'(3'(0'(x11037))))))))))))))))))))))))))))))))))) :|: x11037 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11037)))))))))))))))))))))))))))))))))
   1'(z) -{ 1 }-> 2'(0'(2'(3'(2'(0'(2'(0'(1'(2'(1'(3'(0'(1'(3'(0'(1'(0))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   1'(z) -{ 1 }-> 2'(0'(2'(3'(2'(0'(2'(0'(1'(2'(1'(3'(0'(1'(3'(0'(1'(1 + x1))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   1'(z) -{ 1 }-> 2'(0'(1'(2'(1'(2'(1'(3'(1'(1'(3'(0'(3'(2'(1'(3'(0'(1'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   1'(z) -{ 1 }-> 1'(3'(3'(3'(1'(2'(3'(1'(3'(0'(2'(1'(1'(3'(0'(3'(3'(1'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   1'(z) -{ 2 }-> 1'(3'(3'(2'(3'(0'(2'(1'(3'(1'(1'(3'(1'(2'(1'(0'(0'(0'(3'(0'(0'(0'(0'(1'(2'(0'(3'(3'(0'(0'(3'(0'(1'(3'(0'(x11124))))))))))))))))))))))))))))))))))) :|: x11124 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11124)))))))))))))))))))))))))))))))))
   1'(z) -{ 2 }-> 1'(3'(3'(2'(3'(0'(2'(1'(3'(1'(1'(3'(1'(2'(1'(0'(0'(0'(2'(3'(0'(3'(2'(2'(1'(2'(1'(1'(0'(0'(3'(0'(0'(1'(1'(x11126))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11126))))))))))))))))))))))))))))))))), x11126 >= 0
   1'(z) -{ 2 }-> 1'(3'(3'(2'(3'(0'(2'(1'(3'(1'(1'(3'(1'(2'(1'(0'(0'(0'(2'(2'(2'(2'(1'(3'(0'(0'(2'(1'(0'(2'(2'(2'(2'(0'(0'(x11127))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11127))))))))))))))))))))))))))))))))), x11127 >= 0
   1'(z) -{ 2 }-> 1'(3'(3'(2'(3'(0'(2'(1'(3'(1'(1'(3'(1'(2'(1'(0'(0'(0'(2'(1'(3'(0'(0'(3'(3'(0'(1'(0'(2'(2'(3'(3'(0'(0'(3'(x11120))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11120))))))))))))))))))))))))))))))))), x11120 >= 0
   1'(z) -{ 2 }-> 1'(3'(3'(2'(3'(0'(2'(1'(3'(1'(1'(3'(1'(2'(1'(0'(0'(0'(2'(1'(1'(3'(0'(0'(0'(1'(0'(2'(3'(1'(2'(2'(0'(2'(1'(x11123))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11123))))))))))))))))))))))))))))))))), x11123 >= 0
   1'(z) -{ 2 }-> 1'(3'(3'(2'(3'(0'(2'(1'(3'(1'(1'(3'(1'(2'(1'(0'(0'(0'(2'(1'(1'(1'(0'(2'(2'(0'(0'(1'(1'(0'(3'(0'(1'(3'(2'(x11125))))))))))))))))))))))))))))))))))) :|: x11125 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11125)))))))))))))))))))))))))))))))))
   1'(z) -{ 2 }-> 1'(3'(3'(2'(3'(0'(2'(1'(3'(1'(1'(3'(1'(2'(1'(0'(0'(0'(2'(0'(1'(3'(1'(1'(3'(1'(0'(1'(3'(2'(1'(3'(1'(1'(3'(x11129))))))))))))))))))))))))))))))))))) :|: x11129 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11129)))))))))))))))))))))))))))))))))
   1'(z) -{ 2 }-> 1'(3'(3'(2'(3'(0'(2'(1'(3'(1'(1'(3'(1'(2'(1'(0'(0'(0'(1'(2'(0'(0'(2'(1'(1'(0'(1'(1'(1'(0'(1'(3'(0'(2'(3'(x11121))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11121))))))))))))))))))))))))))))))))), x11121 >= 0
   1'(z) -{ 2 }-> 1'(3'(3'(2'(3'(0'(2'(1'(3'(1'(1'(3'(1'(2'(1'(0'(0'(0'(0'(2'(2'(1'(3'(0'(0'(1'(3'(0'(1'(0'(1'(0'(0'(1'(3'(x11130))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11130))))))))))))))))))))))))))))))))), x11130 >= 0
   1'(z) -{ 2 }-> 1'(3'(3'(2'(3'(0'(2'(1'(3'(1'(1'(3'(1'(2'(1'(0'(0'(0'(0'(1'(3'(0'(0'(2'(2'(2'(3'(2'(1'(1'(1'(1'(0'(3'(2'(x11128))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11128))))))))))))))))))))))))))))))))), x11128 >= 0
   1'(z) -{ 2 }-> 1'(3'(3'(2'(3'(0'(2'(1'(3'(1'(1'(3'(1'(2'(1'(0'(0'(0'(0'(1'(1'(3'(0'(3'(0'(0'(2'(2'(2'(0'(2'(2'(1'(3'(1'(x11122))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11122))))))))))))))))))))))))))))))))), x11122 >= 0
   1'(z) -{ 1 }-> 1'(3'(3'(2'(3'(0'(2'(1'(3'(1'(1'(3'(1'(2'(1'(0'(0'(0))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   1'(z) -{ 1 }-> 1'(3'(3'(2'(3'(0'(2'(1'(3'(1'(1'(3'(1'(2'(1'(0'(0'(1 + x1))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   1'(z) -{ 2 }-> 1'(3'(3'(1'(2'(2'(0'(3'(0'(0'(1'(3'(0'(2'(2'(3'(2'(3'(3'(3'(2'(0'(3'(0'(3'(0'(1'(0'(0'(1'(3'(0'(2'(2'(2'(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)))))))))))))))))))))))))))))))))
   1'(z) -{ 2 }-> 1'(3'(3'(1'(2'(2'(0'(3'(0'(0'(1'(3'(0'(2'(2'(3'(2'(3'(3'(3'(1'(2'(3'(1'(3'(0'(2'(2'(1'(3'(0'(2'(1'(1'(1'(x11256))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11256))))))))))))))))))))))))))))))))), x11256 >= 0
   1'(z) -{ 2 }-> 1'(3'(3'(1'(2'(2'(0'(3'(0'(0'(1'(3'(0'(2'(2'(3'(2'(3'(2'(3'(1'(1'(1'(0'(3'(3'(0'(2'(1'(3'(0'(1'(3'(1'(3'(x11258))))))))))))))))))))))))))))))))))) :|: x11258 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11258)))))))))))))))))))))))))))))))))
   1'(z) -{ 2 }-> 1'(3'(3'(1'(2'(2'(0'(3'(0'(0'(1'(3'(0'(2'(2'(3'(2'(3'(2'(2'(3'(1'(3'(3'(2'(1'(3'(3'(0'(2'(0'(2'(3'(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)))))))))))))))))))))))))))))))))
   1'(z) -{ 2 }-> 1'(3'(3'(1'(2'(2'(0'(3'(0'(0'(1'(3'(0'(2'(2'(3'(2'(3'(1'(3'(2'(1'(3'(0'(2'(1'(0'(0'(2'(3'(1'(2'(3'(3'(0'(x11254))))))))))))))))))))))))))))))))))) :|: x11254 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11254)))))))))))))))))))))))))))))))))
   1'(z) -{ 2 }-> 1'(3'(3'(1'(2'(2'(0'(3'(0'(0'(1'(3'(0'(2'(2'(3'(2'(3'(1'(3'(2'(1'(1'(1'(3'(3'(0'(3'(2'(1'(3'(0'(1'(3'(1'(x11257))))))))))))))))))))))))))))))))))) :|: x11257 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11257)))))))))))))))))))))))))))))))))
   1'(z) -{ 2 }-> 1'(3'(3'(1'(2'(2'(0'(3'(0'(0'(1'(3'(0'(2'(2'(3'(2'(3'(0'(1'(3'(2'(3'(3'(1'(1'(0'(2'(0'(0'(3'(1'(3'(0'(2'(x11251))))))))))))))))))))))))))))))))))) :|: x11251 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11251)))))))))))))))))))))))))))))))))
   1'(z) -{ 2 }-> 1'(3'(3'(1'(2'(2'(0'(3'(0'(0'(1'(3'(0'(2'(2'(3'(2'(3'(0'(1'(3'(2'(0'(3'(0'(1'(2'(3'(0'(2'(0'(2'(2'(1'(1'(x11255))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11255))))))))))))))))))))))))))))))))), x11255 >= 0
   1'(z) -{ 2 }-> 1'(3'(3'(1'(2'(2'(0'(3'(0'(0'(1'(3'(0'(2'(2'(3'(2'(3'(0'(1'(2'(1'(3'(3'(1'(3'(0'(1'(3'(1'(2'(0'(1'(3'(2'(x11253))))))))))))))))))))))))))))))))))) :|: x11253 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11253)))))))))))))))))))))))))))))))))
   1'(z) -{ 2 }-> 1'(3'(3'(1'(2'(2'(0'(3'(0'(0'(1'(3'(0'(2'(2'(3'(2'(3'(0'(0'(2'(1'(3'(2'(3'(3'(1'(1'(3'(1'(1'(0'(2'(0'(1'(x11261))))))))))))))))))))))))))))))))))) :|: x11261 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11261)))))))))))))))))))))))))))))))))
   1'(z) -{ 2 }-> 1'(3'(3'(1'(2'(2'(0'(3'(0'(0'(1'(3'(0'(2'(2'(3'(2'(1'(3'(0'(2'(0'(0'(3'(3'(2'(1'(3'(0'(3'(3'(1'(3'(3'(0'(x11252))))))))))))))))))))))))))))))))))) :|: x11252 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11252)))))))))))))))))))))))))))))))))
   1'(z) -{ 1 }-> 1'(3'(3'(1'(2'(2'(0'(3'(0'(0'(1'(3'(0'(2'(2'(3'(2'(0))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   1'(z) -{ 1 }-> 1'(3'(3'(1'(2'(2'(0'(3'(0'(0'(1'(3'(0'(2'(2'(3'(2'(1 + x1))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   1'(z) -{ 1 }-> 1'(3'(3'(0'(1'(3'(3'(0'(1'(3'(3'(0'(1'(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
   1'(z) -{ 1 }-> 1'(3'(1'(3'(0'(3'(3'(3'(1'(3'(3'(2'(3'(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
   1'(z) -{ 2 }-> 1'(3'(1'(1'(0'(0'(1'(1'(2'(1'(3'(0'(2'(3'(1'(0'(2'(3'(3'(3'(2'(0'(3'(0'(3'(0'(1'(0'(0'(1'(3'(0'(2'(2'(2'(x11410))))))))))))))))))))))))))))))))))) :|: x11410 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11410)))))))))))))))))))))))))))))))))
   1'(z) -{ 2 }-> 1'(3'(1'(1'(0'(0'(1'(1'(2'(1'(3'(0'(2'(3'(1'(0'(2'(3'(3'(3'(1'(2'(3'(1'(3'(0'(2'(2'(1'(3'(0'(2'(1'(1'(1'(x11407))))))))))))))))))))))))))))))))))) :|: x11407 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11407)))))))))))))))))))))))))))))))))
   1'(z) -{ 2 }-> 1'(3'(1'(1'(0'(0'(1'(1'(2'(1'(3'(0'(2'(3'(1'(0'(2'(3'(2'(3'(1'(1'(1'(0'(3'(3'(0'(2'(1'(3'(0'(1'(3'(1'(3'(x11409))))))))))))))))))))))))))))))))))) :|: x11409 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11409)))))))))))))))))))))))))))))))))
   1'(z) -{ 2 }-> 1'(3'(1'(1'(0'(0'(1'(1'(2'(1'(3'(0'(2'(3'(1'(0'(2'(3'(2'(2'(3'(1'(3'(3'(2'(1'(3'(3'(0'(2'(0'(2'(3'(1'(3'(x11411))))))))))))))))))))))))))))))))))) :|: x11411 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11411)))))))))))))))))))))))))))))))))
   1'(z) -{ 2 }-> 1'(3'(1'(1'(0'(0'(1'(1'(2'(1'(3'(0'(2'(3'(1'(0'(2'(3'(1'(3'(2'(1'(3'(0'(2'(1'(0'(0'(2'(3'(1'(2'(3'(3'(0'(x11405))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11405))))))))))))))))))))))))))))))))), x11405 >= 0
   1'(z) -{ 2 }-> 1'(3'(1'(1'(0'(0'(1'(1'(2'(1'(3'(0'(2'(3'(1'(0'(2'(3'(1'(3'(2'(1'(1'(1'(3'(3'(0'(3'(2'(1'(3'(0'(1'(3'(1'(x11408))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11408))))))))))))))))))))))))))))))))), x11408 >= 0
   1'(z) -{ 2 }-> 1'(3'(1'(1'(0'(0'(1'(1'(2'(1'(3'(0'(2'(3'(1'(0'(2'(3'(0'(1'(3'(2'(3'(3'(1'(1'(0'(2'(0'(0'(3'(1'(3'(0'(2'(x11402))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11402))))))))))))))))))))))))))))))))), x11402 >= 0
   1'(z) -{ 2 }-> 1'(3'(1'(1'(0'(0'(1'(1'(2'(1'(3'(0'(2'(3'(1'(0'(2'(3'(0'(1'(3'(2'(0'(3'(0'(1'(2'(3'(0'(2'(0'(2'(2'(1'(1'(x11406))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11406))))))))))))))))))))))))))))))))), x11406 >= 0
   1'(z) -{ 2 }-> 1'(3'(1'(1'(0'(0'(1'(1'(2'(1'(3'(0'(2'(3'(1'(0'(2'(3'(0'(1'(2'(1'(3'(3'(1'(3'(0'(1'(3'(1'(2'(0'(1'(3'(2'(x11404))))))))))))))))))))))))))))))))))) :|: x11404 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11404)))))))))))))))))))))))))))))))))
   1'(z) -{ 2 }-> 1'(3'(1'(1'(0'(0'(1'(1'(2'(1'(3'(0'(2'(3'(1'(0'(2'(3'(0'(0'(2'(1'(3'(2'(3'(3'(1'(1'(3'(1'(1'(0'(2'(0'(1'(x11412))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11412))))))))))))))))))))))))))))))))), x11412 >= 0
   1'(z) -{ 2 }-> 1'(3'(1'(1'(0'(0'(1'(1'(2'(1'(3'(0'(2'(3'(1'(0'(2'(1'(3'(0'(2'(0'(0'(3'(3'(2'(1'(3'(0'(3'(3'(1'(3'(3'(0'(x11403))))))))))))))))))))))))))))))))))) :|: x11403 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11403)))))))))))))))))))))))))))))))))
   1'(z) -{ 1 }-> 1'(3'(1'(1'(0'(0'(1'(1'(2'(1'(3'(0'(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'(3'(1'(1'(0'(0'(1'(1'(2'(1'(3'(0'(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'(3'(0'(3'(1'(1'(0'(1'(1'(0'(0'(0'(2'(2'(3'(0'(0'(0'(3'(0'(0'(0'(0'(1'(2'(0'(3'(3'(0'(0'(3'(0'(1'(3'(0'(x1704))))))))))))))))))))))))))))))))))) :|: x1704 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1704)))))))))))))))))))))))))))))))))
   1'(z) -{ 2 }-> 1'(3'(0'(3'(1'(1'(0'(1'(1'(0'(0'(0'(2'(2'(3'(0'(0'(0'(2'(3'(0'(3'(2'(2'(1'(2'(1'(1'(0'(0'(3'(0'(0'(1'(1'(x1706))))))))))))))))))))))))))))))))))) :|: x1706 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1706)))))))))))))))))))))))))))))))))
   1'(z) -{ 2 }-> 1'(3'(0'(3'(1'(1'(0'(1'(1'(0'(0'(0'(2'(2'(3'(0'(0'(0'(2'(2'(2'(2'(1'(3'(0'(0'(2'(1'(0'(2'(2'(2'(2'(0'(0'(x1707))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1707))))))))))))))))))))))))))))))))), x1707 >= 0
   1'(z) -{ 2 }-> 1'(3'(0'(3'(1'(1'(0'(1'(1'(0'(0'(0'(2'(2'(3'(0'(0'(0'(2'(1'(3'(0'(0'(3'(3'(0'(1'(0'(2'(2'(3'(3'(0'(0'(3'(x1700))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1700))))))))))))))))))))))))))))))))), x1700 >= 0
   1'(z) -{ 2 }-> 1'(3'(0'(3'(1'(1'(0'(1'(1'(0'(0'(0'(2'(2'(3'(0'(0'(0'(2'(1'(1'(3'(0'(0'(0'(1'(0'(2'(3'(1'(2'(2'(0'(2'(1'(x1703))))))))))))))))))))))))))))))))))) :|: x1703 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1703)))))))))))))))))))))))))))))))))
   1'(z) -{ 2 }-> 1'(3'(0'(3'(1'(1'(0'(1'(1'(0'(0'(0'(2'(2'(3'(0'(0'(0'(2'(1'(1'(1'(0'(2'(2'(0'(0'(1'(1'(0'(3'(0'(1'(3'(2'(x1705))))))))))))))))))))))))))))))))))) :|: x1705 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1705)))))))))))))))))))))))))))))))))
   1'(z) -{ 2 }-> 1'(3'(0'(3'(1'(1'(0'(1'(1'(0'(0'(0'(2'(2'(3'(0'(0'(0'(2'(0'(1'(3'(1'(1'(3'(1'(0'(1'(3'(2'(1'(3'(1'(1'(3'(x1709))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1709))))))))))))))))))))))))))))))))), x1709 >= 0
   1'(z) -{ 2 }-> 1'(3'(0'(3'(1'(1'(0'(1'(1'(0'(0'(0'(2'(2'(3'(0'(0'(0'(1'(2'(0'(0'(2'(1'(1'(0'(1'(1'(1'(0'(1'(3'(0'(2'(3'(x1701))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1701))))))))))))))))))))))))))))))))), x1701 >= 0
   1'(z) -{ 2 }-> 1'(3'(0'(3'(1'(1'(0'(1'(1'(0'(0'(0'(2'(2'(3'(0'(0'(0'(0'(2'(2'(1'(3'(0'(0'(1'(3'(0'(1'(0'(1'(0'(0'(1'(3'(x1710))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1710))))))))))))))))))))))))))))))))), x1710 >= 0
   1'(z) -{ 2 }-> 1'(3'(0'(3'(1'(1'(0'(1'(1'(0'(0'(0'(2'(2'(3'(0'(0'(0'(0'(1'(3'(0'(0'(2'(2'(2'(3'(2'(1'(1'(1'(1'(0'(3'(2'(x1708))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1708))))))))))))))))))))))))))))))))), x1708 >= 0
   1'(z) -{ 2 }-> 1'(3'(0'(3'(1'(1'(0'(1'(1'(0'(0'(0'(2'(2'(3'(0'(0'(0'(0'(1'(1'(3'(0'(3'(0'(0'(2'(2'(2'(0'(2'(2'(1'(3'(1'(x1702))))))))))))))))))))))))))))))))))) :|: x1702 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1702)))))))))))))))))))))))))))))))))
   1'(z) -{ 1 }-> 1'(3'(0'(3'(1'(1'(0'(1'(1'(0'(0'(0'(2'(2'(3'(0'(0'(0))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   1'(z) -{ 1 }-> 1'(3'(0'(3'(1'(1'(0'(1'(1'(0'(0'(0'(2'(2'(3'(0'(0'(1 + x1))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   1'(z) -{ 1 }-> 1'(3'(0'(0'(1'(3'(0'(1'(3'(3'(2'(2'(3'(3'(3'(3'(0'(1'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   1'(z) -{ 2 }-> 1'(2'(2'(3'(0'(1'(3'(1'(1'(3'(0'(0'(1'(3'(1'(1'(3'(3'(3'(3'(2'(0'(3'(0'(3'(0'(1'(0'(0'(1'(3'(0'(2'(2'(2'(x11319))))))))))))))))))))))))))))))))))) :|: x11319 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11319)))))))))))))))))))))))))))))))))
   1'(z) -{ 2 }-> 1'(2'(2'(3'(0'(1'(3'(1'(1'(3'(0'(0'(1'(3'(1'(1'(3'(3'(3'(3'(1'(2'(3'(1'(3'(0'(2'(2'(1'(3'(0'(2'(1'(1'(1'(x11316))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11316))))))))))))))))))))))))))))))))), x11316 >= 0
   1'(z) -{ 2 }-> 1'(2'(2'(3'(0'(1'(3'(1'(1'(3'(0'(0'(1'(3'(1'(1'(3'(3'(2'(3'(1'(1'(1'(0'(3'(3'(0'(2'(1'(3'(0'(1'(3'(1'(3'(x11318))))))))))))))))))))))))))))))))))) :|: x11318 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11318)))))))))))))))))))))))))))))))))
   1'(z) -{ 2 }-> 1'(2'(2'(3'(0'(1'(3'(1'(1'(3'(0'(0'(1'(3'(1'(1'(3'(3'(2'(2'(3'(1'(3'(3'(2'(1'(3'(3'(0'(2'(0'(2'(3'(1'(3'(x11320))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11320))))))))))))))))))))))))))))))))), x11320 >= 0
   1'(z) -{ 2 }-> 1'(2'(2'(3'(0'(1'(3'(1'(1'(3'(0'(0'(1'(3'(1'(1'(3'(3'(1'(3'(2'(1'(3'(0'(2'(1'(0'(0'(2'(3'(1'(2'(3'(3'(0'(x11314))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11314))))))))))))))))))))))))))))))))), x11314 >= 0
   1'(z) -{ 2 }-> 1'(2'(2'(3'(0'(1'(3'(1'(1'(3'(0'(0'(1'(3'(1'(1'(3'(3'(1'(3'(2'(1'(1'(1'(3'(3'(0'(3'(2'(1'(3'(0'(1'(3'(1'(x11317))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11317))))))))))))))))))))))))))))))))), x11317 >= 0
   1'(z) -{ 2 }-> 1'(2'(2'(3'(0'(1'(3'(1'(1'(3'(0'(0'(1'(3'(1'(1'(3'(3'(0'(1'(3'(2'(3'(3'(1'(1'(0'(2'(0'(0'(3'(1'(3'(0'(2'(x11311))))))))))))))))))))))))))))))))))) :|: x11311 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11311)))))))))))))))))))))))))))))))))
   1'(z) -{ 2 }-> 1'(2'(2'(3'(0'(1'(3'(1'(1'(3'(0'(0'(1'(3'(1'(1'(3'(3'(0'(1'(3'(2'(0'(3'(0'(1'(2'(3'(0'(2'(0'(2'(2'(1'(1'(x11315))))))))))))))))))))))))))))))))))) :|: x11315 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11315)))))))))))))))))))))))))))))))))
   1'(z) -{ 2 }-> 1'(2'(2'(3'(0'(1'(3'(1'(1'(3'(0'(0'(1'(3'(1'(1'(3'(3'(0'(1'(2'(1'(3'(3'(1'(3'(0'(1'(3'(1'(2'(0'(1'(3'(2'(x11313))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11313))))))))))))))))))))))))))))))))), x11313 >= 0
   1'(z) -{ 2 }-> 1'(2'(2'(3'(0'(1'(3'(1'(1'(3'(0'(0'(1'(3'(1'(1'(3'(3'(0'(0'(2'(1'(3'(2'(3'(3'(1'(1'(3'(1'(1'(0'(2'(0'(1'(x11321))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11321))))))))))))))))))))))))))))))))), x11321 >= 0
   1'(z) -{ 2 }-> 1'(2'(2'(3'(0'(1'(3'(1'(1'(3'(0'(0'(1'(3'(1'(1'(3'(1'(3'(0'(2'(0'(0'(3'(3'(2'(1'(3'(0'(3'(3'(1'(3'(3'(0'(x11312))))))))))))))))))))))))))))))))))) :|: x11312 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11312)))))))))))))))))))))))))))))))))
   1'(z) -{ 1 }-> 1'(2'(2'(3'(0'(1'(3'(1'(1'(3'(0'(0'(1'(3'(1'(1'(3'(0))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   1'(z) -{ 1 }-> 1'(2'(2'(3'(0'(1'(3'(1'(1'(3'(0'(0'(1'(3'(1'(1'(3'(1 + x1))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   1'(z) -{ 2 }-> 1'(2'(2'(2'(0'(3'(3'(0'(0'(2'(0'(0'(0'(2'(2'(2'(3'(0'(3'(0'(0'(0'(0'(1'(2'(0'(3'(3'(0'(0'(3'(0'(1'(3'(0'(x1971))))))))))))))))))))))))))))))))))) :|: x1971 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1971)))))))))))))))))))))))))))))))))
   1'(z) -{ 2 }-> 1'(2'(2'(2'(0'(3'(3'(0'(0'(2'(0'(0'(0'(2'(2'(2'(3'(0'(2'(3'(0'(3'(2'(2'(1'(2'(1'(1'(0'(0'(3'(0'(0'(1'(1'(x1973))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1973))))))))))))))))))))))))))))))))), x1973 >= 0
   1'(z) -{ 2 }-> 1'(2'(2'(2'(0'(3'(3'(0'(0'(2'(0'(0'(0'(2'(2'(2'(3'(0'(2'(2'(2'(2'(1'(3'(0'(0'(2'(1'(0'(2'(2'(2'(2'(0'(0'(x1974))))))))))))))))))))))))))))))))))) :|: x1974 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1974)))))))))))))))))))))))))))))))))
   1'(z) -{ 2 }-> 1'(2'(2'(2'(0'(3'(3'(0'(0'(2'(0'(0'(0'(2'(2'(2'(3'(0'(2'(1'(3'(0'(0'(3'(3'(0'(1'(0'(2'(2'(3'(3'(0'(0'(3'(x1967))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1967))))))))))))))))))))))))))))))))), x1967 >= 0
   1'(z) -{ 2 }-> 1'(2'(2'(2'(0'(3'(3'(0'(0'(2'(0'(0'(0'(2'(2'(2'(3'(0'(2'(1'(1'(3'(0'(0'(0'(1'(0'(2'(3'(1'(2'(2'(0'(2'(1'(x1970))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1970))))))))))))))))))))))))))))))))), x1970 >= 0
   1'(z) -{ 2 }-> 1'(2'(2'(2'(0'(3'(3'(0'(0'(2'(0'(0'(0'(2'(2'(2'(3'(0'(2'(1'(1'(1'(0'(2'(2'(0'(0'(1'(1'(0'(3'(0'(1'(3'(2'(x1972))))))))))))))))))))))))))))))))))) :|: x1972 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1972)))))))))))))))))))))))))))))))))
   1'(z) -{ 2 }-> 1'(2'(2'(2'(0'(3'(3'(0'(0'(2'(0'(0'(0'(2'(2'(2'(3'(0'(2'(0'(1'(3'(1'(1'(3'(1'(0'(1'(3'(2'(1'(3'(1'(1'(3'(x1976))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1976))))))))))))))))))))))))))))))))), x1976 >= 0
   1'(z) -{ 2 }-> 1'(2'(2'(2'(0'(3'(3'(0'(0'(2'(0'(0'(0'(2'(2'(2'(3'(0'(1'(2'(0'(0'(2'(1'(1'(0'(1'(1'(1'(0'(1'(3'(0'(2'(3'(x1968))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1968))))))))))))))))))))))))))))))))), x1968 >= 0
   1'(z) -{ 2 }-> 1'(2'(2'(2'(0'(3'(3'(0'(0'(2'(0'(0'(0'(2'(2'(2'(3'(0'(0'(2'(2'(1'(3'(0'(0'(1'(3'(0'(1'(0'(1'(0'(0'(1'(3'(x1977))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1977))))))))))))))))))))))))))))))))), x1977 >= 0
   1'(z) -{ 2 }-> 1'(2'(2'(2'(0'(3'(3'(0'(0'(2'(0'(0'(0'(2'(2'(2'(3'(0'(0'(1'(3'(0'(0'(2'(2'(2'(3'(2'(1'(1'(1'(1'(0'(3'(2'(x1975))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1975))))))))))))))))))))))))))))))))), x1975 >= 0
   1'(z) -{ 2 }-> 1'(2'(2'(2'(0'(3'(3'(0'(0'(2'(0'(0'(0'(2'(2'(2'(3'(0'(0'(1'(1'(3'(0'(3'(0'(0'(2'(2'(2'(0'(2'(2'(1'(3'(1'(x1969))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1969))))))))))))))))))))))))))))))))), x1969 >= 0
   1'(z) -{ 1 }-> 1'(2'(2'(2'(0'(3'(3'(0'(0'(2'(0'(0'(0'(2'(2'(2'(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'(2'(2'(0'(3'(3'(0'(0'(2'(0'(0'(0'(2'(2'(2'(3'(1 + x1))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   1'(z) -{ 2 }-> 1'(2'(2'(0'(2'(1'(0'(2'(1'(0'(0'(2'(3'(0'(1'(1'(3'(3'(3'(3'(2'(0'(3'(0'(3'(0'(1'(0'(0'(1'(3'(0'(2'(2'(2'(x1697))))))))))))))))))))))))))))))))))) :|: x1697 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1697)))))))))))))))))))))))))))))))))
   1'(z) -{ 2 }-> 1'(2'(2'(0'(2'(1'(0'(2'(1'(0'(0'(2'(3'(0'(1'(1'(3'(3'(3'(3'(1'(2'(3'(1'(3'(0'(2'(2'(1'(3'(0'(2'(1'(1'(1'(x1694))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1694))))))))))))))))))))))))))))))))), x1694 >= 0
   1'(z) -{ 2 }-> 1'(2'(2'(0'(2'(1'(0'(2'(1'(0'(0'(2'(3'(0'(1'(1'(3'(3'(2'(3'(1'(1'(1'(0'(3'(3'(0'(2'(1'(3'(0'(1'(3'(1'(3'(x1696))))))))))))))))))))))))))))))))))) :|: x1696 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1696)))))))))))))))))))))))))))))))))
   1'(z) -{ 2 }-> 1'(2'(2'(0'(2'(1'(0'(2'(1'(0'(0'(2'(3'(0'(1'(1'(3'(3'(2'(2'(3'(1'(3'(3'(2'(1'(3'(3'(0'(2'(0'(2'(3'(1'(3'(x1698))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1698))))))))))))))))))))))))))))))))), x1698 >= 0
   1'(z) -{ 2 }-> 1'(2'(2'(0'(2'(1'(0'(2'(1'(0'(0'(2'(3'(0'(1'(1'(3'(3'(1'(3'(2'(1'(3'(0'(2'(1'(0'(0'(2'(3'(1'(2'(3'(3'(0'(x1692))))))))))))))))))))))))))))))))))) :|: x1692 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1692)))))))))))))))))))))))))))))))))
   1'(z) -{ 2 }-> 1'(2'(2'(0'(2'(1'(0'(2'(1'(0'(0'(2'(3'(0'(1'(1'(3'(3'(1'(3'(2'(1'(1'(1'(3'(3'(0'(3'(2'(1'(3'(0'(1'(3'(1'(x1695))))))))))))))))))))))))))))))))))) :|: x1695 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1695)))))))))))))))))))))))))))))))))
   1'(z) -{ 2 }-> 1'(2'(2'(0'(2'(1'(0'(2'(1'(0'(0'(2'(3'(0'(1'(1'(3'(3'(0'(1'(3'(2'(3'(3'(1'(1'(0'(2'(0'(0'(3'(1'(3'(0'(2'(x1689))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1689))))))))))))))))))))))))))))))))), x1689 >= 0
   1'(z) -{ 2 }-> 1'(2'(2'(0'(2'(1'(0'(2'(1'(0'(0'(2'(3'(0'(1'(1'(3'(3'(0'(1'(3'(2'(0'(3'(0'(1'(2'(3'(0'(2'(0'(2'(2'(1'(1'(x1693))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1693))))))))))))))))))))))))))))))))), x1693 >= 0
   1'(z) -{ 2 }-> 1'(2'(2'(0'(2'(1'(0'(2'(1'(0'(0'(2'(3'(0'(1'(1'(3'(3'(0'(1'(2'(1'(3'(3'(1'(3'(0'(1'(3'(1'(2'(0'(1'(3'(2'(x1691))))))))))))))))))))))))))))))))))) :|: x1691 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1691)))))))))))))))))))))))))))))))))
   1'(z) -{ 2 }-> 1'(2'(2'(0'(2'(1'(0'(2'(1'(0'(0'(2'(3'(0'(1'(1'(3'(3'(0'(0'(2'(1'(3'(2'(3'(3'(1'(1'(3'(1'(1'(0'(2'(0'(1'(x1699))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1699))))))))))))))))))))))))))))))))), x1699 >= 0
   1'(z) -{ 2 }-> 1'(2'(2'(0'(2'(1'(0'(2'(1'(0'(0'(2'(3'(0'(1'(1'(3'(1'(3'(0'(2'(0'(0'(3'(3'(2'(1'(3'(0'(3'(3'(1'(3'(3'(0'(x1690))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1690))))))))))))))))))))))))))))))))), x1690 >= 0
   1'(z) -{ 1 }-> 1'(2'(2'(0'(2'(1'(0'(2'(1'(0'(0'(2'(3'(0'(1'(1'(3'(0))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   1'(z) -{ 1 }-> 1'(2'(2'(0'(2'(1'(0'(2'(1'(0'(0'(2'(3'(0'(1'(1'(3'(1 + x1))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   1'(z) -{ 1 }-> 1'(2'(0'(3'(2'(2'(2'(2'(3'(0'(0'(2'(2'(2'(3'(1'(3'(2'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   1'(z) -{ 1 }-> 1'(1'(3'(2'(1'(3'(1'(1'(0'(0'(1'(3'(2'(1'(0'(1'(1'(1'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   1'(z) -{ 1 }-> 1'(1'(3'(1'(3'(2'(3'(0'(1'(0'(3'(0'(1'(3'(1'(0'(1'(1'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   1'(z) -{ 2 }-> 1'(1'(2'(2'(1'(0'(1'(3'(0'(1'(1'(3'(0'(2'(1'(3'(0'(0'(3'(0'(0'(0'(0'(1'(2'(0'(3'(3'(0'(0'(3'(0'(1'(3'(0'(x1478))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1478))))))))))))))))))))))))))))))))), x1478 >= 0
   1'(z) -{ 2 }-> 1'(1'(2'(2'(1'(0'(1'(3'(0'(1'(1'(3'(0'(2'(1'(3'(0'(0'(2'(3'(0'(3'(2'(2'(1'(2'(1'(1'(0'(0'(3'(0'(0'(1'(1'(x1480))))))))))))))))))))))))))))))))))) :|: x1480 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1480)))))))))))))))))))))))))))))))))
   1'(z) -{ 2 }-> 1'(1'(2'(2'(1'(0'(1'(3'(0'(1'(1'(3'(0'(2'(1'(3'(0'(0'(2'(2'(2'(2'(1'(3'(0'(0'(2'(1'(0'(2'(2'(2'(2'(0'(0'(x1481))))))))))))))))))))))))))))))))))) :|: x1481 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1481)))))))))))))))))))))))))))))))))
   1'(z) -{ 2 }-> 1'(1'(2'(2'(1'(0'(1'(3'(0'(1'(1'(3'(0'(2'(1'(3'(0'(0'(2'(1'(3'(0'(0'(3'(3'(0'(1'(0'(2'(2'(3'(3'(0'(0'(3'(x1474))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1474))))))))))))))))))))))))))))))))), x1474 >= 0
   1'(z) -{ 2 }-> 1'(1'(2'(2'(1'(0'(1'(3'(0'(1'(1'(3'(0'(2'(1'(3'(0'(0'(2'(1'(1'(3'(0'(0'(0'(1'(0'(2'(3'(1'(2'(2'(0'(2'(1'(x1477))))))))))))))))))))))))))))))))))) :|: x1477 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1477)))))))))))))))))))))))))))))))))
   1'(z) -{ 2 }-> 1'(1'(2'(2'(1'(0'(1'(3'(0'(1'(1'(3'(0'(2'(1'(3'(0'(0'(2'(1'(1'(1'(0'(2'(2'(0'(0'(1'(1'(0'(3'(0'(1'(3'(2'(x1479))))))))))))))))))))))))))))))))))) :|: x1479 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1479)))))))))))))))))))))))))))))))))
   1'(z) -{ 2 }-> 1'(1'(2'(2'(1'(0'(1'(3'(0'(1'(1'(3'(0'(2'(1'(3'(0'(0'(2'(0'(1'(3'(1'(1'(3'(1'(0'(1'(3'(2'(1'(3'(1'(1'(3'(x1483))))))))))))))))))))))))))))))))))) :|: x1483 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1483)))))))))))))))))))))))))))))))))
   1'(z) -{ 2 }-> 1'(1'(2'(2'(1'(0'(1'(3'(0'(1'(1'(3'(0'(2'(1'(3'(0'(0'(1'(2'(0'(0'(2'(1'(1'(0'(1'(1'(1'(0'(1'(3'(0'(2'(3'(x1475))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1475))))))))))))))))))))))))))))))))), x1475 >= 0
   1'(z) -{ 2 }-> 1'(1'(2'(2'(1'(0'(1'(3'(0'(1'(1'(3'(0'(2'(1'(3'(0'(0'(0'(2'(2'(1'(3'(0'(0'(1'(3'(0'(1'(0'(1'(0'(0'(1'(3'(x1484))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1484))))))))))))))))))))))))))))))))), x1484 >= 0
   1'(z) -{ 2 }-> 1'(1'(2'(2'(1'(0'(1'(3'(0'(1'(1'(3'(0'(2'(1'(3'(0'(0'(0'(1'(3'(0'(0'(2'(2'(2'(3'(2'(1'(1'(1'(1'(0'(3'(2'(x1482))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1482))))))))))))))))))))))))))))))))), x1482 >= 0
   1'(z) -{ 2 }-> 1'(1'(2'(2'(1'(0'(1'(3'(0'(1'(1'(3'(0'(2'(1'(3'(0'(0'(0'(1'(1'(3'(0'(3'(0'(0'(2'(2'(2'(0'(2'(2'(1'(3'(1'(x1476))))))))))))))))))))))))))))))))))) :|: x1476 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1476)))))))))))))))))))))))))))))))))
   1'(z) -{ 1 }-> 1'(1'(2'(2'(1'(0'(1'(3'(0'(1'(1'(3'(0'(2'(1'(3'(0'(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'(1'(2'(2'(1'(0'(1'(3'(0'(1'(1'(3'(0'(2'(1'(3'(0'(1 + x1))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   1'(z) -{ 1 }-> 1'(1'(1'(2'(3'(0'(2'(2'(1'(1'(1'(2'(3'(0'(1'(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
   1'(z) -{ 1 }-> 1'(1'(1'(1'(1'(1'(3'(0'(2'(2'(1'(1'(1'(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
   1'(z) -{ 1 }-> 1'(1'(0'(0'(0'(2'(1'(0'(2'(0'(3'(2'(2'(1'(0'(2'(3'(2'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   1'(z) -{ 2 }-> 0'(3'(0'(1'(2'(1'(3'(0'(1'(0'(2'(1'(2'(3'(3'(0'(2'(0'(3'(0'(0'(0'(0'(1'(2'(0'(3'(3'(0'(0'(3'(0'(1'(3'(0'(x1849))))))))))))))))))))))))))))))))))) :|: x1849 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1849)))))))))))))))))))))))))))))))))
   1'(z) -{ 2 }-> 0'(3'(0'(1'(2'(1'(3'(0'(1'(0'(2'(1'(2'(3'(3'(0'(2'(0'(2'(3'(0'(3'(2'(2'(1'(2'(1'(1'(0'(0'(3'(0'(0'(1'(1'(x1851))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1851))))))))))))))))))))))))))))))))), x1851 >= 0
   1'(z) -{ 2 }-> 0'(3'(0'(1'(2'(1'(3'(0'(1'(0'(2'(1'(2'(3'(3'(0'(2'(0'(2'(2'(2'(2'(1'(3'(0'(0'(2'(1'(0'(2'(2'(2'(2'(0'(0'(x1852))))))))))))))))))))))))))))))))))) :|: x1852 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1852)))))))))))))))))))))))))))))))))
   1'(z) -{ 2 }-> 0'(3'(0'(1'(2'(1'(3'(0'(1'(0'(2'(1'(2'(3'(3'(0'(2'(0'(2'(1'(3'(0'(0'(3'(3'(0'(1'(0'(2'(2'(3'(3'(0'(0'(3'(x1845))))))))))))))))))))))))))))))))))) :|: x1845 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1845)))))))))))))))))))))))))))))))))
   1'(z) -{ 2 }-> 0'(3'(0'(1'(2'(1'(3'(0'(1'(0'(2'(1'(2'(3'(3'(0'(2'(0'(2'(1'(1'(3'(0'(0'(0'(1'(0'(2'(3'(1'(2'(2'(0'(2'(1'(x1848))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1848))))))))))))))))))))))))))))))))), x1848 >= 0
   1'(z) -{ 2 }-> 0'(3'(0'(1'(2'(1'(3'(0'(1'(0'(2'(1'(2'(3'(3'(0'(2'(0'(2'(1'(1'(1'(0'(2'(2'(0'(0'(1'(1'(0'(3'(0'(1'(3'(2'(x1850))))))))))))))))))))))))))))))))))) :|: x1850 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1850)))))))))))))))))))))))))))))))))
   1'(z) -{ 2 }-> 0'(3'(0'(1'(2'(1'(3'(0'(1'(0'(2'(1'(2'(3'(3'(0'(2'(0'(2'(0'(1'(3'(1'(1'(3'(1'(0'(1'(3'(2'(1'(3'(1'(1'(3'(x1854))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1854))))))))))))))))))))))))))))))))), x1854 >= 0
   1'(z) -{ 2 }-> 0'(3'(0'(1'(2'(1'(3'(0'(1'(0'(2'(1'(2'(3'(3'(0'(2'(0'(1'(2'(0'(0'(2'(1'(1'(0'(1'(1'(1'(0'(1'(3'(0'(2'(3'(x1846))))))))))))))))))))))))))))))))))) :|: x1846 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1846)))))))))))))))))))))))))))))))))
   1'(z) -{ 2 }-> 0'(3'(0'(1'(2'(1'(3'(0'(1'(0'(2'(1'(2'(3'(3'(0'(2'(0'(0'(2'(2'(1'(3'(0'(0'(1'(3'(0'(1'(0'(1'(0'(0'(1'(3'(x1855))))))))))))))))))))))))))))))))))) :|: x1855 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1855)))))))))))))))))))))))))))))))))
   1'(z) -{ 2 }-> 0'(3'(0'(1'(2'(1'(3'(0'(1'(0'(2'(1'(2'(3'(3'(0'(2'(0'(0'(1'(3'(0'(0'(2'(2'(2'(3'(2'(1'(1'(1'(1'(0'(3'(2'(x1853))))))))))))))))))))))))))))))))))) :|: x1853 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1853)))))))))))))))))))))))))))))))))
   1'(z) -{ 2 }-> 0'(3'(0'(1'(2'(1'(3'(0'(1'(0'(2'(1'(2'(3'(3'(0'(2'(0'(0'(1'(1'(3'(0'(3'(0'(0'(2'(2'(2'(0'(2'(2'(1'(3'(1'(x1847))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1847))))))))))))))))))))))))))))))))), x1847 >= 0
   1'(z) -{ 1 }-> 0'(3'(0'(1'(2'(1'(3'(0'(1'(0'(2'(1'(2'(3'(3'(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 }-> 0'(3'(0'(1'(2'(1'(3'(0'(1'(0'(2'(1'(2'(3'(3'(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 }-> 0'(0'(0'(1'(1'(3'(1'(3'(2'(0'(0'(2'(2'(1'(3'(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
   1'(z) -{ 0 }-> 0 :|: v0 >= 0, z = v0
   1'(z) -{ 0 }-> 1 + x0 :|: z = x0, x0 >= 0
   2'(z) -{ 2 }-> 2'(3'(3'(1'(3'(2'(0'(3'(2'(1'(3'(0'(2'(2'(2'(2'(3'(0'(3'(0'(0'(0'(0'(1'(2'(0'(3'(3'(0'(0'(3'(0'(1'(3'(0'(x1418))))))))))))))))))))))))))))))))))) :|: x1418 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1418)))))))))))))))))))))))))))))))))
   2'(z) -{ 2 }-> 2'(3'(3'(1'(3'(2'(0'(3'(2'(1'(3'(0'(2'(2'(2'(2'(3'(0'(2'(3'(0'(3'(2'(2'(1'(2'(1'(1'(0'(0'(3'(0'(0'(1'(1'(x1420))))))))))))))))))))))))))))))))))) :|: x1420 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1420)))))))))))))))))))))))))))))))))
   2'(z) -{ 2 }-> 2'(3'(3'(1'(3'(2'(0'(3'(2'(1'(3'(0'(2'(2'(2'(2'(3'(0'(2'(2'(2'(2'(1'(3'(0'(0'(2'(1'(0'(2'(2'(2'(2'(0'(0'(x1421))))))))))))))))))))))))))))))))))) :|: x1421 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1421)))))))))))))))))))))))))))))))))
   2'(z) -{ 2 }-> 2'(3'(3'(1'(3'(2'(0'(3'(2'(1'(3'(0'(2'(2'(2'(2'(3'(0'(2'(1'(3'(0'(0'(3'(3'(0'(1'(0'(2'(2'(3'(3'(0'(0'(3'(x1414))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1414))))))))))))))))))))))))))))))))), x1414 >= 0
   2'(z) -{ 2 }-> 2'(3'(3'(1'(3'(2'(0'(3'(2'(1'(3'(0'(2'(2'(2'(2'(3'(0'(2'(1'(1'(3'(0'(0'(0'(1'(0'(2'(3'(1'(2'(2'(0'(2'(1'(x1417))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1417))))))))))))))))))))))))))))))))), x1417 >= 0
   2'(z) -{ 2 }-> 2'(3'(3'(1'(3'(2'(0'(3'(2'(1'(3'(0'(2'(2'(2'(2'(3'(0'(2'(1'(1'(1'(0'(2'(2'(0'(0'(1'(1'(0'(3'(0'(1'(3'(2'(x1419))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1419))))))))))))))))))))))))))))))))), x1419 >= 0
   2'(z) -{ 2 }-> 2'(3'(3'(1'(3'(2'(0'(3'(2'(1'(3'(0'(2'(2'(2'(2'(3'(0'(2'(0'(1'(3'(1'(1'(3'(1'(0'(1'(3'(2'(1'(3'(1'(1'(3'(x1423))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1423))))))))))))))))))))))))))))))))), x1423 >= 0
   2'(z) -{ 2 }-> 2'(3'(3'(1'(3'(2'(0'(3'(2'(1'(3'(0'(2'(2'(2'(2'(3'(0'(1'(2'(0'(0'(2'(1'(1'(0'(1'(1'(1'(0'(1'(3'(0'(2'(3'(x1415))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1415))))))))))))))))))))))))))))))))), x1415 >= 0
   2'(z) -{ 2 }-> 2'(3'(3'(1'(3'(2'(0'(3'(2'(1'(3'(0'(2'(2'(2'(2'(3'(0'(0'(2'(2'(1'(3'(0'(0'(1'(3'(0'(1'(0'(1'(0'(0'(1'(3'(x1424))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1424))))))))))))))))))))))))))))))))), x1424 >= 0
   2'(z) -{ 2 }-> 2'(3'(3'(1'(3'(2'(0'(3'(2'(1'(3'(0'(2'(2'(2'(2'(3'(0'(0'(1'(3'(0'(0'(2'(2'(2'(3'(2'(1'(1'(1'(1'(0'(3'(2'(x1422))))))))))))))))))))))))))))))))))) :|: x1422 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1422)))))))))))))))))))))))))))))))))
   2'(z) -{ 2 }-> 2'(3'(3'(1'(3'(2'(0'(3'(2'(1'(3'(0'(2'(2'(2'(2'(3'(0'(0'(1'(1'(3'(0'(3'(0'(0'(2'(2'(2'(0'(2'(2'(1'(3'(1'(x1416))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1416))))))))))))))))))))))))))))))))), x1416 >= 0
   2'(z) -{ 1 }-> 2'(3'(3'(1'(3'(2'(0'(3'(2'(1'(3'(0'(2'(2'(2'(2'(3'(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'(1'(3'(2'(0'(3'(2'(1'(3'(0'(2'(2'(2'(2'(3'(1 + x1))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   2'(z) -{ 2 }-> 2'(3'(2'(3'(3'(0'(0'(2'(2'(2'(1'(3'(2'(0'(2'(3'(2'(0'(3'(0'(0'(0'(0'(1'(2'(0'(3'(3'(0'(0'(3'(0'(1'(3'(0'(x1280))))))))))))))))))))))))))))))))))) :|: x1280 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1280)))))))))))))))))))))))))))))))))
   2'(z) -{ 2 }-> 2'(3'(2'(3'(3'(0'(0'(2'(2'(2'(1'(3'(2'(0'(2'(3'(2'(0'(2'(3'(0'(3'(2'(2'(1'(2'(1'(1'(0'(0'(3'(0'(0'(1'(1'(x1282))))))))))))))))))))))))))))))))))) :|: x1282 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1282)))))))))))))))))))))))))))))))))
   2'(z) -{ 2 }-> 2'(3'(2'(3'(3'(0'(0'(2'(2'(2'(1'(3'(2'(0'(2'(3'(2'(0'(2'(2'(2'(2'(1'(3'(0'(0'(2'(1'(0'(2'(2'(2'(2'(0'(0'(x1283))))))))))))))))))))))))))))))))))) :|: x1283 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1283)))))))))))))))))))))))))))))))))
   2'(z) -{ 2 }-> 2'(3'(2'(3'(3'(0'(0'(2'(2'(2'(1'(3'(2'(0'(2'(3'(2'(0'(2'(1'(3'(0'(0'(3'(3'(0'(1'(0'(2'(2'(3'(3'(0'(0'(3'(x1276))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1276))))))))))))))))))))))))))))))))), x1276 >= 0
   2'(z) -{ 2 }-> 2'(3'(2'(3'(3'(0'(0'(2'(2'(2'(1'(3'(2'(0'(2'(3'(2'(0'(2'(1'(1'(3'(0'(0'(0'(1'(0'(2'(3'(1'(2'(2'(0'(2'(1'(x1279))))))))))))))))))))))))))))))))))) :|: x1279 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1279)))))))))))))))))))))))))))))))))
   2'(z) -{ 2 }-> 2'(3'(2'(3'(3'(0'(0'(2'(2'(2'(1'(3'(2'(0'(2'(3'(2'(0'(2'(1'(1'(1'(0'(2'(2'(0'(0'(1'(1'(0'(3'(0'(1'(3'(2'(x1281))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1281))))))))))))))))))))))))))))))))), x1281 >= 0
   2'(z) -{ 2 }-> 2'(3'(2'(3'(3'(0'(0'(2'(2'(2'(1'(3'(2'(0'(2'(3'(2'(0'(2'(0'(1'(3'(1'(1'(3'(1'(0'(1'(3'(2'(1'(3'(1'(1'(3'(x1285))))))))))))))))))))))))))))))))))) :|: x1285 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1285)))))))))))))))))))))))))))))))))
   2'(z) -{ 2 }-> 2'(3'(2'(3'(3'(0'(0'(2'(2'(2'(1'(3'(2'(0'(2'(3'(2'(0'(1'(2'(0'(0'(2'(1'(1'(0'(1'(1'(1'(0'(1'(3'(0'(2'(3'(x1277))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1277))))))))))))))))))))))))))))))))), x1277 >= 0
   2'(z) -{ 2 }-> 2'(3'(2'(3'(3'(0'(0'(2'(2'(2'(1'(3'(2'(0'(2'(3'(2'(0'(0'(2'(2'(1'(3'(0'(0'(1'(3'(0'(1'(0'(1'(0'(0'(1'(3'(x1286))))))))))))))))))))))))))))))))))) :|: x1286 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1286)))))))))))))))))))))))))))))))))
   2'(z) -{ 2 }-> 2'(3'(2'(3'(3'(0'(0'(2'(2'(2'(1'(3'(2'(0'(2'(3'(2'(0'(0'(1'(3'(0'(0'(2'(2'(2'(3'(2'(1'(1'(1'(1'(0'(3'(2'(x1284))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1284))))))))))))))))))))))))))))))))), x1284 >= 0
   2'(z) -{ 2 }-> 2'(3'(2'(3'(3'(0'(0'(2'(2'(2'(1'(3'(2'(0'(2'(3'(2'(0'(0'(1'(1'(3'(0'(3'(0'(0'(2'(2'(2'(0'(2'(2'(1'(3'(1'(x1278))))))))))))))))))))))))))))))))))) :|: x1278 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1278)))))))))))))))))))))))))))))))))
   2'(z) -{ 1 }-> 2'(3'(2'(3'(3'(0'(0'(2'(2'(2'(1'(3'(2'(0'(2'(3'(2'(0))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   2'(z) -{ 1 }-> 2'(3'(2'(3'(3'(0'(0'(2'(2'(2'(1'(3'(2'(0'(2'(3'(2'(1 + x1))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   2'(z) -{ 2 }-> 2'(3'(2'(2'(1'(3'(0'(3'(0'(1'(3'(0'(0'(0'(1'(1'(2'(0'(3'(0'(0'(0'(0'(1'(2'(0'(3'(3'(0'(0'(3'(0'(1'(3'(0'(x1860))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1860))))))))))))))))))))))))))))))))), x1860 >= 0
   2'(z) -{ 2 }-> 2'(3'(2'(2'(1'(3'(0'(3'(0'(1'(3'(0'(0'(0'(1'(1'(2'(0'(2'(3'(0'(3'(2'(2'(1'(2'(1'(1'(0'(0'(3'(0'(0'(1'(1'(x1862))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1862))))))))))))))))))))))))))))))))), x1862 >= 0
   2'(z) -{ 2 }-> 2'(3'(2'(2'(1'(3'(0'(3'(0'(1'(3'(0'(0'(0'(1'(1'(2'(0'(2'(2'(2'(2'(1'(3'(0'(0'(2'(1'(0'(2'(2'(2'(2'(0'(0'(x1863))))))))))))))))))))))))))))))))))) :|: x1863 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1863)))))))))))))))))))))))))))))))))
   2'(z) -{ 2 }-> 2'(3'(2'(2'(1'(3'(0'(3'(0'(1'(3'(0'(0'(0'(1'(1'(2'(0'(2'(1'(3'(0'(0'(3'(3'(0'(1'(0'(2'(2'(3'(3'(0'(0'(3'(x1856))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1856))))))))))))))))))))))))))))))))), x1856 >= 0
   2'(z) -{ 2 }-> 2'(3'(2'(2'(1'(3'(0'(3'(0'(1'(3'(0'(0'(0'(1'(1'(2'(0'(2'(1'(1'(3'(0'(0'(0'(1'(0'(2'(3'(1'(2'(2'(0'(2'(1'(x1859))))))))))))))))))))))))))))))))))) :|: x1859 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1859)))))))))))))))))))))))))))))))))
   2'(z) -{ 2 }-> 2'(3'(2'(2'(1'(3'(0'(3'(0'(1'(3'(0'(0'(0'(1'(1'(2'(0'(2'(1'(1'(1'(0'(2'(2'(0'(0'(1'(1'(0'(3'(0'(1'(3'(2'(x1861))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1861))))))))))))))))))))))))))))))))), x1861 >= 0
   2'(z) -{ 2 }-> 2'(3'(2'(2'(1'(3'(0'(3'(0'(1'(3'(0'(0'(0'(1'(1'(2'(0'(2'(0'(1'(3'(1'(1'(3'(1'(0'(1'(3'(2'(1'(3'(1'(1'(3'(x1865))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1865))))))))))))))))))))))))))))))))), x1865 >= 0
   2'(z) -{ 2 }-> 2'(3'(2'(2'(1'(3'(0'(3'(0'(1'(3'(0'(0'(0'(1'(1'(2'(0'(1'(2'(0'(0'(2'(1'(1'(0'(1'(1'(1'(0'(1'(3'(0'(2'(3'(x1857))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1857))))))))))))))))))))))))))))))))), x1857 >= 0
   2'(z) -{ 2 }-> 2'(3'(2'(2'(1'(3'(0'(3'(0'(1'(3'(0'(0'(0'(1'(1'(2'(0'(0'(2'(2'(1'(3'(0'(0'(1'(3'(0'(1'(0'(1'(0'(0'(1'(3'(x1866))))))))))))))))))))))))))))))))))) :|: x1866 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1866)))))))))))))))))))))))))))))))))
   2'(z) -{ 2 }-> 2'(3'(2'(2'(1'(3'(0'(3'(0'(1'(3'(0'(0'(0'(1'(1'(2'(0'(0'(1'(3'(0'(0'(2'(2'(2'(3'(2'(1'(1'(1'(1'(0'(3'(2'(x1864))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1864))))))))))))))))))))))))))))))))), x1864 >= 0
   2'(z) -{ 2 }-> 2'(3'(2'(2'(1'(3'(0'(3'(0'(1'(3'(0'(0'(0'(1'(1'(2'(0'(0'(1'(1'(3'(0'(3'(0'(0'(2'(2'(2'(0'(2'(2'(1'(3'(1'(x1858))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1858))))))))))))))))))))))))))))))))), x1858 >= 0
   2'(z) -{ 1 }-> 2'(3'(2'(2'(1'(3'(0'(3'(0'(1'(3'(0'(0'(0'(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
   2'(z) -{ 1 }-> 2'(3'(2'(2'(1'(3'(0'(3'(0'(1'(3'(0'(0'(0'(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
   2'(z) -{ 1 }-> 2'(3'(2'(0'(1'(1'(1'(3'(2'(1'(1'(3'(0'(0'(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
   2'(z) -{ 1 }-> 2'(3'(1'(1'(2'(0'(1'(3'(1'(1'(0'(1'(1'(3'(1'(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
   2'(z) -{ 1 }-> 2'(2'(3'(1'(3'(2'(1'(3'(3'(1'(0'(0'(2'(3'(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
   2'(z) -{ 1 }-> 2'(2'(3'(0'(3'(0'(2'(1'(0'(2'(2'(0'(1'(3'(1'(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
   2'(z) -{ 1 }-> 2'(2'(2'(2'(1'(1'(2'(0'(1'(0'(0'(0'(2'(1'(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
   2'(z) -{ 1 }-> 2'(2'(2'(2'(1'(1'(0'(2'(1'(1'(2'(2'(0'(2'(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
   2'(z) -{ 1 }-> 2'(2'(1'(2'(3'(1'(1'(3'(1'(2'(2'(1'(0'(0'(2'(1'(3'(1'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   2'(z) -{ 2 }-> 2'(2'(1'(1'(0'(1'(2'(3'(3'(0'(3'(3'(2'(2'(2'(0'(2'(3'(3'(3'(2'(0'(3'(0'(3'(0'(1'(0'(0'(1'(3'(0'(2'(2'(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
   2'(z) -{ 2 }-> 2'(2'(1'(1'(0'(1'(2'(3'(3'(0'(3'(3'(2'(2'(2'(0'(2'(3'(3'(3'(1'(2'(3'(1'(3'(0'(2'(2'(1'(3'(0'(2'(1'(1'(1'(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
   2'(z) -{ 2 }-> 2'(2'(1'(1'(0'(1'(2'(3'(3'(0'(3'(3'(2'(2'(2'(0'(2'(3'(2'(3'(1'(1'(1'(0'(3'(3'(0'(2'(1'(3'(0'(1'(3'(1'(3'(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
   2'(z) -{ 2 }-> 2'(2'(1'(1'(0'(1'(2'(3'(3'(0'(3'(3'(2'(2'(2'(0'(2'(3'(2'(2'(3'(1'(3'(3'(2'(1'(3'(3'(0'(2'(0'(2'(3'(1'(3'(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
   2'(z) -{ 2 }-> 2'(2'(1'(1'(0'(1'(2'(3'(3'(0'(3'(3'(2'(2'(2'(0'(2'(3'(1'(3'(2'(1'(3'(0'(2'(1'(0'(0'(2'(3'(1'(2'(3'(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)))))))))))))))))))))))))))))))))
   2'(z) -{ 2 }-> 2'(2'(1'(1'(0'(1'(2'(3'(3'(0'(3'(3'(2'(2'(2'(0'(2'(3'(1'(3'(2'(1'(1'(1'(3'(3'(0'(3'(2'(1'(3'(0'(1'(3'(1'(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
   2'(z) -{ 2 }-> 2'(2'(1'(1'(0'(1'(2'(3'(3'(0'(3'(3'(2'(2'(2'(0'(2'(3'(0'(1'(3'(2'(3'(3'(1'(1'(0'(2'(0'(0'(3'(1'(3'(0'(2'(x1722))))))))))))))))))))))))))))))))))) :|: x1722 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1722)))))))))))))))))))))))))))))))))
   2'(z) -{ 2 }-> 2'(2'(1'(1'(0'(1'(2'(3'(3'(0'(3'(3'(2'(2'(2'(0'(2'(3'(0'(1'(3'(2'(0'(3'(0'(1'(2'(3'(0'(2'(0'(2'(2'(1'(1'(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)))))))))))))))))))))))))))))))))
   2'(z) -{ 2 }-> 2'(2'(1'(1'(0'(1'(2'(3'(3'(0'(3'(3'(2'(2'(2'(0'(2'(3'(0'(1'(2'(1'(3'(3'(1'(3'(0'(1'(3'(1'(2'(0'(1'(3'(2'(x1724))))))))))))))))))))))))))))))))))) :|: x1724 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1724)))))))))))))))))))))))))))))))))
   2'(z) -{ 2 }-> 2'(2'(1'(1'(0'(1'(2'(3'(3'(0'(3'(3'(2'(2'(2'(0'(2'(3'(0'(0'(2'(1'(3'(2'(3'(3'(1'(1'(3'(1'(1'(0'(2'(0'(1'(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)))))))))))))))))))))))))))))))))
   2'(z) -{ 2 }-> 2'(2'(1'(1'(0'(1'(2'(3'(3'(0'(3'(3'(2'(2'(2'(0'(2'(1'(3'(0'(2'(0'(0'(3'(3'(2'(1'(3'(0'(3'(3'(1'(3'(3'(0'(x1723))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1723))))))))))))))))))))))))))))))))), x1723 >= 0
   2'(z) -{ 1 }-> 2'(2'(1'(1'(0'(1'(2'(3'(3'(0'(3'(3'(2'(2'(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
   2'(z) -{ 1 }-> 2'(2'(1'(1'(0'(1'(2'(3'(3'(0'(3'(3'(2'(2'(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
   2'(z) -{ 1 }-> 2'(2'(1'(0'(3'(2'(1'(1'(1'(0'(0'(2'(0'(1'(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'(2'(0'(1'(2'(0'(1'(2'(3'(1'(0'(2'(0'(1'(3'(1'(3'(3'(3'(3'(2'(0'(3'(0'(3'(0'(1'(0'(0'(1'(3'(0'(2'(2'(2'(x1433))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1433))))))))))))))))))))))))))))))))), x1433 >= 0
   2'(z) -{ 2 }-> 2'(2'(0'(1'(2'(0'(1'(2'(3'(1'(0'(2'(0'(1'(3'(1'(3'(3'(3'(3'(1'(2'(3'(1'(3'(0'(2'(2'(1'(3'(0'(2'(1'(1'(1'(x1430))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1430))))))))))))))))))))))))))))))))), x1430 >= 0
   2'(z) -{ 2 }-> 2'(2'(0'(1'(2'(0'(1'(2'(3'(1'(0'(2'(0'(1'(3'(1'(3'(3'(2'(3'(1'(1'(1'(0'(3'(3'(0'(2'(1'(3'(0'(1'(3'(1'(3'(x1432))))))))))))))))))))))))))))))))))) :|: x1432 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1432)))))))))))))))))))))))))))))))))
   2'(z) -{ 2 }-> 2'(2'(0'(1'(2'(0'(1'(2'(3'(1'(0'(2'(0'(1'(3'(1'(3'(3'(2'(2'(3'(1'(3'(3'(2'(1'(3'(3'(0'(2'(0'(2'(3'(1'(3'(x1434))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1434))))))))))))))))))))))))))))))))), x1434 >= 0
   2'(z) -{ 2 }-> 2'(2'(0'(1'(2'(0'(1'(2'(3'(1'(0'(2'(0'(1'(3'(1'(3'(3'(1'(3'(2'(1'(3'(0'(2'(1'(0'(0'(2'(3'(1'(2'(3'(3'(0'(x1428))))))))))))))))))))))))))))))))))) :|: x1428 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1428)))))))))))))))))))))))))))))))))
   2'(z) -{ 2 }-> 2'(2'(0'(1'(2'(0'(1'(2'(3'(1'(0'(2'(0'(1'(3'(1'(3'(3'(1'(3'(2'(1'(1'(1'(3'(3'(0'(3'(2'(1'(3'(0'(1'(3'(1'(x1431))))))))))))))))))))))))))))))))))) :|: x1431 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1431)))))))))))))))))))))))))))))))))
   2'(z) -{ 2 }-> 2'(2'(0'(1'(2'(0'(1'(2'(3'(1'(0'(2'(0'(1'(3'(1'(3'(3'(0'(1'(3'(2'(3'(3'(1'(1'(0'(2'(0'(0'(3'(1'(3'(0'(2'(x1425))))))))))))))))))))))))))))))))))) :|: x1425 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1425)))))))))))))))))))))))))))))))))
   2'(z) -{ 2 }-> 2'(2'(0'(1'(2'(0'(1'(2'(3'(1'(0'(2'(0'(1'(3'(1'(3'(3'(0'(1'(3'(2'(0'(3'(0'(1'(2'(3'(0'(2'(0'(2'(2'(1'(1'(x1429))))))))))))))))))))))))))))))))))) :|: x1429 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1429)))))))))))))))))))))))))))))))))
   2'(z) -{ 2 }-> 2'(2'(0'(1'(2'(0'(1'(2'(3'(1'(0'(2'(0'(1'(3'(1'(3'(3'(0'(1'(2'(1'(3'(3'(1'(3'(0'(1'(3'(1'(2'(0'(1'(3'(2'(x1427))))))))))))))))))))))))))))))))))) :|: x1427 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1427)))))))))))))))))))))))))))))))))
   2'(z) -{ 2 }-> 2'(2'(0'(1'(2'(0'(1'(2'(3'(1'(0'(2'(0'(1'(3'(1'(3'(3'(0'(0'(2'(1'(3'(2'(3'(3'(1'(1'(3'(1'(1'(0'(2'(0'(1'(x1435))))))))))))))))))))))))))))))))))) :|: x1435 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1435)))))))))))))))))))))))))))))))))
   2'(z) -{ 2 }-> 2'(2'(0'(1'(2'(0'(1'(2'(3'(1'(0'(2'(0'(1'(3'(1'(3'(1'(3'(0'(2'(0'(0'(3'(3'(2'(1'(3'(0'(3'(3'(1'(3'(3'(0'(x1426))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1426))))))))))))))))))))))))))))))))), x1426 >= 0
   2'(z) -{ 1 }-> 2'(2'(0'(1'(2'(0'(1'(2'(3'(1'(0'(2'(0'(1'(3'(1'(3'(0))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   2'(z) -{ 1 }-> 2'(2'(0'(1'(2'(0'(1'(2'(3'(1'(0'(2'(0'(1'(3'(1'(3'(1 + x1))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   2'(z) -{ 2 }-> 2'(1'(3'(0'(1'(3'(1'(0'(2'(2'(0'(0'(1'(3'(1'(3'(2'(3'(3'(3'(2'(0'(3'(0'(3'(0'(1'(0'(0'(1'(3'(0'(2'(2'(2'(x11281))))))))))))))))))))))))))))))))))) :|: x11281 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11281)))))))))))))))))))))))))))))))))
   2'(z) -{ 2 }-> 2'(1'(3'(0'(1'(3'(1'(0'(2'(2'(0'(0'(1'(3'(1'(3'(2'(3'(3'(3'(1'(2'(3'(1'(3'(0'(2'(2'(1'(3'(0'(2'(1'(1'(1'(x11278))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11278))))))))))))))))))))))))))))))))), x11278 >= 0
   2'(z) -{ 2 }-> 2'(1'(3'(0'(1'(3'(1'(0'(2'(2'(0'(0'(1'(3'(1'(3'(2'(3'(2'(3'(1'(1'(1'(0'(3'(3'(0'(2'(1'(3'(0'(1'(3'(1'(3'(x11280))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11280))))))))))))))))))))))))))))))))), x11280 >= 0
   2'(z) -{ 2 }-> 2'(1'(3'(0'(1'(3'(1'(0'(2'(2'(0'(0'(1'(3'(1'(3'(2'(3'(2'(2'(3'(1'(3'(3'(2'(1'(3'(3'(0'(2'(0'(2'(3'(1'(3'(x11282))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11282))))))))))))))))))))))))))))))))), x11282 >= 0
   2'(z) -{ 2 }-> 2'(1'(3'(0'(1'(3'(1'(0'(2'(2'(0'(0'(1'(3'(1'(3'(2'(3'(1'(3'(2'(1'(3'(0'(2'(1'(0'(0'(2'(3'(1'(2'(3'(3'(0'(x11276))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11276))))))))))))))))))))))))))))))))), x11276 >= 0
   2'(z) -{ 2 }-> 2'(1'(3'(0'(1'(3'(1'(0'(2'(2'(0'(0'(1'(3'(1'(3'(2'(3'(1'(3'(2'(1'(1'(1'(3'(3'(0'(3'(2'(1'(3'(0'(1'(3'(1'(x11279))))))))))))))))))))))))))))))))))) :|: x11279 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11279)))))))))))))))))))))))))))))))))
   2'(z) -{ 2 }-> 2'(1'(3'(0'(1'(3'(1'(0'(2'(2'(0'(0'(1'(3'(1'(3'(2'(3'(0'(1'(3'(2'(3'(3'(1'(1'(0'(2'(0'(0'(3'(1'(3'(0'(2'(x11273))))))))))))))))))))))))))))))))))) :|: x11273 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11273)))))))))))))))))))))))))))))))))
   2'(z) -{ 2 }-> 2'(1'(3'(0'(1'(3'(1'(0'(2'(2'(0'(0'(1'(3'(1'(3'(2'(3'(0'(1'(3'(2'(0'(3'(0'(1'(2'(3'(0'(2'(0'(2'(2'(1'(1'(x11277))))))))))))))))))))))))))))))))))) :|: x11277 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11277)))))))))))))))))))))))))))))))))
   2'(z) -{ 2 }-> 2'(1'(3'(0'(1'(3'(1'(0'(2'(2'(0'(0'(1'(3'(1'(3'(2'(3'(0'(1'(2'(1'(3'(3'(1'(3'(0'(1'(3'(1'(2'(0'(1'(3'(2'(x11275))))))))))))))))))))))))))))))))))) :|: x11275 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11275)))))))))))))))))))))))))))))))))
   2'(z) -{ 2 }-> 2'(1'(3'(0'(1'(3'(1'(0'(2'(2'(0'(0'(1'(3'(1'(3'(2'(3'(0'(0'(2'(1'(3'(2'(3'(3'(1'(1'(3'(1'(1'(0'(2'(0'(1'(x11283))))))))))))))))))))))))))))))))))) :|: x11283 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11283)))))))))))))))))))))))))))))))))
   2'(z) -{ 2 }-> 2'(1'(3'(0'(1'(3'(1'(0'(2'(2'(0'(0'(1'(3'(1'(3'(2'(1'(3'(0'(2'(0'(0'(3'(3'(2'(1'(3'(0'(3'(3'(1'(3'(3'(0'(x11274))))))))))))))))))))))))))))))))))) :|: x11274 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11274)))))))))))))))))))))))))))))))))
   2'(z) -{ 1 }-> 2'(1'(3'(0'(1'(3'(1'(0'(2'(2'(0'(0'(1'(3'(1'(3'(2'(0))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   2'(z) -{ 1 }-> 2'(1'(3'(0'(1'(3'(1'(0'(2'(2'(0'(0'(1'(3'(1'(3'(2'(1 + x1))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   2'(z) -{ 1 }-> 2'(1'(2'(1'(1'(0'(1'(0'(2'(3'(0'(0'(3'(3'(3'(1'(1'(2'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   2'(z) -{ 1 }-> 2'(1'(1'(1'(3'(2'(3'(2'(2'(3'(0'(2'(3'(2'(1'(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) -{ 2 }-> 2'(1'(0'(0'(1'(2'(3'(1'(1'(3'(3'(3'(1'(1'(3'(2'(0'(0'(3'(0'(0'(0'(0'(1'(2'(0'(3'(3'(0'(0'(3'(0'(1'(3'(0'(x11417))))))))))))))))))))))))))))))))))) :|: x11417 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11417)))))))))))))))))))))))))))))))))
   2'(z) -{ 2 }-> 2'(1'(0'(0'(1'(2'(3'(1'(1'(3'(3'(3'(1'(1'(3'(2'(0'(0'(2'(3'(0'(3'(2'(2'(1'(2'(1'(1'(0'(0'(3'(0'(0'(1'(1'(x11419))))))))))))))))))))))))))))))))))) :|: x11419 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11419)))))))))))))))))))))))))))))))))
   2'(z) -{ 2 }-> 2'(1'(0'(0'(1'(2'(3'(1'(1'(3'(3'(3'(1'(1'(3'(2'(0'(0'(2'(2'(2'(2'(1'(3'(0'(0'(2'(1'(0'(2'(2'(2'(2'(0'(0'(x11420))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11420))))))))))))))))))))))))))))))))), x11420 >= 0
   2'(z) -{ 2 }-> 2'(1'(0'(0'(1'(2'(3'(1'(1'(3'(3'(3'(1'(1'(3'(2'(0'(0'(2'(1'(3'(0'(0'(3'(3'(0'(1'(0'(2'(2'(3'(3'(0'(0'(3'(x11413))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11413))))))))))))))))))))))))))))))))), x11413 >= 0
   2'(z) -{ 2 }-> 2'(1'(0'(0'(1'(2'(3'(1'(1'(3'(3'(3'(1'(1'(3'(2'(0'(0'(2'(1'(1'(3'(0'(0'(0'(1'(0'(2'(3'(1'(2'(2'(0'(2'(1'(x11416))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11416))))))))))))))))))))))))))))))))), x11416 >= 0
   2'(z) -{ 2 }-> 2'(1'(0'(0'(1'(2'(3'(1'(1'(3'(3'(3'(1'(1'(3'(2'(0'(0'(2'(1'(1'(1'(0'(2'(2'(0'(0'(1'(1'(0'(3'(0'(1'(3'(2'(x11418))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11418))))))))))))))))))))))))))))))))), x11418 >= 0
   2'(z) -{ 2 }-> 2'(1'(0'(0'(1'(2'(3'(1'(1'(3'(3'(3'(1'(1'(3'(2'(0'(0'(2'(0'(1'(3'(1'(1'(3'(1'(0'(1'(3'(2'(1'(3'(1'(1'(3'(x11422))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11422))))))))))))))))))))))))))))))))), x11422 >= 0
   2'(z) -{ 2 }-> 2'(1'(0'(0'(1'(2'(3'(1'(1'(3'(3'(3'(1'(1'(3'(2'(0'(0'(1'(2'(0'(0'(2'(1'(1'(0'(1'(1'(1'(0'(1'(3'(0'(2'(3'(x11414))))))))))))))))))))))))))))))))))) :|: x11414 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11414)))))))))))))))))))))))))))))))))
   2'(z) -{ 2 }-> 2'(1'(0'(0'(1'(2'(3'(1'(1'(3'(3'(3'(1'(1'(3'(2'(0'(0'(0'(2'(2'(1'(3'(0'(0'(1'(3'(0'(1'(0'(1'(0'(0'(1'(3'(x11423))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11423))))))))))))))))))))))))))))))))), x11423 >= 0
   2'(z) -{ 2 }-> 2'(1'(0'(0'(1'(2'(3'(1'(1'(3'(3'(3'(1'(1'(3'(2'(0'(0'(0'(1'(3'(0'(0'(2'(2'(2'(3'(2'(1'(1'(1'(1'(0'(3'(2'(x11421))))))))))))))))))))))))))))))))))) :|: x11421 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11421)))))))))))))))))))))))))))))))))
   2'(z) -{ 2 }-> 2'(1'(0'(0'(1'(2'(3'(1'(1'(3'(3'(3'(1'(1'(3'(2'(0'(0'(0'(1'(1'(3'(0'(3'(0'(0'(2'(2'(2'(0'(2'(2'(1'(3'(1'(x11415))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11415))))))))))))))))))))))))))))))))), x11415 >= 0
   2'(z) -{ 1 }-> 2'(1'(0'(0'(1'(2'(3'(1'(1'(3'(3'(3'(1'(1'(3'(2'(0'(0))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   2'(z) -{ 1 }-> 2'(1'(0'(0'(1'(2'(3'(1'(1'(3'(3'(3'(1'(1'(3'(2'(0'(1 + x1))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   2'(z) -{ 1 }-> 2'(0'(3'(1'(0'(1'(0'(1'(2'(0'(2'(2'(1'(3'(0'(0'(1'(1'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   2'(z) -{ 1 }-> 2'(0'(2'(3'(1'(3'(0'(0'(3'(2'(0'(1'(0'(2'(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
   2'(z) -{ 1 }-> 2'(0'(2'(0'(2'(2'(3'(0'(3'(3'(1'(3'(0'(1'(2'(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
   2'(z) -{ 2 }-> 1'(3'(0'(2'(1'(1'(3'(0'(2'(3'(0'(0'(3'(1'(3'(3'(1'(0'(3'(0'(0'(0'(0'(1'(2'(0'(3'(3'(0'(0'(3'(0'(1'(3'(0'(x1130))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1130))))))))))))))))))))))))))))))))), x1130 >= 0
   2'(z) -{ 2 }-> 1'(3'(0'(2'(1'(1'(3'(0'(2'(3'(0'(0'(3'(1'(3'(3'(1'(0'(2'(3'(0'(3'(2'(2'(1'(2'(1'(1'(0'(0'(3'(0'(0'(1'(1'(x1132))))))))))))))))))))))))))))))))))) :|: x1132 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1132)))))))))))))))))))))))))))))))))
   2'(z) -{ 2 }-> 1'(3'(0'(2'(1'(1'(3'(0'(2'(3'(0'(0'(3'(1'(3'(3'(1'(0'(2'(2'(2'(2'(1'(3'(0'(0'(2'(1'(0'(2'(2'(2'(2'(0'(0'(x1133))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1133))))))))))))))))))))))))))))))))), x1133 >= 0
   2'(z) -{ 2 }-> 1'(3'(0'(2'(1'(1'(3'(0'(2'(3'(0'(0'(3'(1'(3'(3'(1'(0'(2'(1'(3'(0'(0'(3'(3'(0'(1'(0'(2'(2'(3'(3'(0'(0'(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 }-> 1'(3'(0'(2'(1'(1'(3'(0'(2'(3'(0'(0'(3'(1'(3'(3'(1'(0'(2'(1'(1'(3'(0'(0'(0'(1'(0'(2'(3'(1'(2'(2'(0'(2'(1'(x1129))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1129))))))))))))))))))))))))))))))))), x1129 >= 0
   2'(z) -{ 2 }-> 1'(3'(0'(2'(1'(1'(3'(0'(2'(3'(0'(0'(3'(1'(3'(3'(1'(0'(2'(1'(1'(1'(0'(2'(2'(0'(0'(1'(1'(0'(3'(0'(1'(3'(2'(x1131))))))))))))))))))))))))))))))))))) :|: x1131 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1131)))))))))))))))))))))))))))))))))
   2'(z) -{ 2 }-> 1'(3'(0'(2'(1'(1'(3'(0'(2'(3'(0'(0'(3'(1'(3'(3'(1'(0'(2'(0'(1'(3'(1'(1'(3'(1'(0'(1'(3'(2'(1'(3'(1'(1'(3'(x1135))))))))))))))))))))))))))))))))))) :|: x1135 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1135)))))))))))))))))))))))))))))))))
   2'(z) -{ 2 }-> 1'(3'(0'(2'(1'(1'(3'(0'(2'(3'(0'(0'(3'(1'(3'(3'(1'(0'(1'(2'(0'(0'(2'(1'(1'(0'(1'(1'(1'(0'(1'(3'(0'(2'(3'(x1127))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1127))))))))))))))))))))))))))))))))), x1127 >= 0
   2'(z) -{ 2 }-> 1'(3'(0'(2'(1'(1'(3'(0'(2'(3'(0'(0'(3'(1'(3'(3'(1'(0'(0'(2'(2'(1'(3'(0'(0'(1'(3'(0'(1'(0'(1'(0'(0'(1'(3'(x1136))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1136))))))))))))))))))))))))))))))))), x1136 >= 0
   2'(z) -{ 2 }-> 1'(3'(0'(2'(1'(1'(3'(0'(2'(3'(0'(0'(3'(1'(3'(3'(1'(0'(0'(1'(3'(0'(0'(2'(2'(2'(3'(2'(1'(1'(1'(1'(0'(3'(2'(x1134))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1134))))))))))))))))))))))))))))))))), x1134 >= 0
   2'(z) -{ 2 }-> 1'(3'(0'(2'(1'(1'(3'(0'(2'(3'(0'(0'(3'(1'(3'(3'(1'(0'(0'(1'(1'(3'(0'(3'(0'(0'(2'(2'(2'(0'(2'(2'(1'(3'(1'(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) -{ 1 }-> 1'(3'(0'(2'(1'(1'(3'(0'(2'(3'(0'(0'(3'(1'(3'(3'(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 }-> 1'(3'(0'(2'(1'(1'(3'(0'(2'(3'(0'(0'(3'(1'(3'(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
   2'(z) -{ 1 }-> 0'(3'(3'(1'(3'(3'(0'(2'(1'(1'(3'(1'(0'(2'(1'(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'(0'(2'(2'(2'(1'(3'(0'(0'(1'(3'(0'(0'(2'(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
   2'(z) -{ 1 }-> 0'(2'(2'(1'(2'(0'(1'(2'(0'(3'(0'(0'(2'(1'(3'(0'(3'(2'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   2'(z) -{ 1 }-> 0'(2'(1'(2'(0'(2'(0'(2'(2'(1'(2'(2'(2'(1'(1'(1'(1'(1'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   2'(z) -{ 1 }-> 0'(2'(0'(2'(1'(3'(2'(2'(1'(3'(2'(2'(1'(3'(0'(2'(1'(2'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   2'(z) -{ 2 }-> 0'(1'(2'(2'(3'(1'(0'(2'(1'(3'(2'(1'(1'(3'(0'(1'(1'(0'(3'(0'(0'(0'(0'(1'(2'(0'(3'(3'(0'(0'(3'(0'(1'(3'(0'(x11636))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11636))))))))))))))))))))))))))))))))), x11636 >= 0
   2'(z) -{ 2 }-> 0'(1'(2'(2'(3'(1'(0'(2'(1'(3'(2'(1'(1'(3'(0'(1'(1'(0'(2'(3'(0'(3'(2'(2'(1'(2'(1'(1'(0'(0'(3'(0'(0'(1'(1'(x11638))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11638))))))))))))))))))))))))))))))))), x11638 >= 0
   2'(z) -{ 2 }-> 0'(1'(2'(2'(3'(1'(0'(2'(1'(3'(2'(1'(1'(3'(0'(1'(1'(0'(2'(2'(2'(2'(1'(3'(0'(0'(2'(1'(0'(2'(2'(2'(2'(0'(0'(x11639))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11639))))))))))))))))))))))))))))))))), x11639 >= 0
   2'(z) -{ 2 }-> 0'(1'(2'(2'(3'(1'(0'(2'(1'(3'(2'(1'(1'(3'(0'(1'(1'(0'(2'(1'(3'(0'(0'(3'(3'(0'(1'(0'(2'(2'(3'(3'(0'(0'(3'(x11632))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11632))))))))))))))))))))))))))))))))), x11632 >= 0
   2'(z) -{ 2 }-> 0'(1'(2'(2'(3'(1'(0'(2'(1'(3'(2'(1'(1'(3'(0'(1'(1'(0'(2'(1'(1'(3'(0'(0'(0'(1'(0'(2'(3'(1'(2'(2'(0'(2'(1'(x11635))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11635))))))))))))))))))))))))))))))))), x11635 >= 0
   2'(z) -{ 2 }-> 0'(1'(2'(2'(3'(1'(0'(2'(1'(3'(2'(1'(1'(3'(0'(1'(1'(0'(2'(1'(1'(1'(0'(2'(2'(0'(0'(1'(1'(0'(3'(0'(1'(3'(2'(x11637))))))))))))))))))))))))))))))))))) :|: x11637 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11637)))))))))))))))))))))))))))))))))
   2'(z) -{ 2 }-> 0'(1'(2'(2'(3'(1'(0'(2'(1'(3'(2'(1'(1'(3'(0'(1'(1'(0'(2'(0'(1'(3'(1'(1'(3'(1'(0'(1'(3'(2'(1'(3'(1'(1'(3'(x11641))))))))))))))))))))))))))))))))))) :|: x11641 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11641)))))))))))))))))))))))))))))))))
   2'(z) -{ 2 }-> 0'(1'(2'(2'(3'(1'(0'(2'(1'(3'(2'(1'(1'(3'(0'(1'(1'(0'(1'(2'(0'(0'(2'(1'(1'(0'(1'(1'(1'(0'(1'(3'(0'(2'(3'(x11633))))))))))))))))))))))))))))))))))) :|: x11633 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11633)))))))))))))))))))))))))))))))))
   2'(z) -{ 2 }-> 0'(1'(2'(2'(3'(1'(0'(2'(1'(3'(2'(1'(1'(3'(0'(1'(1'(0'(0'(2'(2'(1'(3'(0'(0'(1'(3'(0'(1'(0'(1'(0'(0'(1'(3'(x11642))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11642))))))))))))))))))))))))))))))))), x11642 >= 0
   2'(z) -{ 2 }-> 0'(1'(2'(2'(3'(1'(0'(2'(1'(3'(2'(1'(1'(3'(0'(1'(1'(0'(0'(1'(3'(0'(0'(2'(2'(2'(3'(2'(1'(1'(1'(1'(0'(3'(2'(x11640))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11640))))))))))))))))))))))))))))))))), x11640 >= 0
   2'(z) -{ 2 }-> 0'(1'(2'(2'(3'(1'(0'(2'(1'(3'(2'(1'(1'(3'(0'(1'(1'(0'(0'(1'(1'(3'(0'(3'(0'(0'(2'(2'(2'(0'(2'(2'(1'(3'(1'(x11634))))))))))))))))))))))))))))))))))) :|: x11634 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11634)))))))))))))))))))))))))))))))))
   2'(z) -{ 1 }-> 0'(1'(2'(2'(3'(1'(0'(2'(1'(3'(2'(1'(1'(3'(0'(1'(1'(0))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   2'(z) -{ 1 }-> 0'(1'(2'(2'(3'(1'(0'(2'(1'(3'(2'(1'(1'(3'(0'(1'(1'(1 + x1))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   2'(z) -{ 0 }-> 0 :|: v0 >= 0, z = v0
   2'(z) -{ 0 }-> 1 + x0 :|: z = x0, x0 >= 0
   3'(z) -{ 1 }-> 3'(3'(3'(2'(0'(3'(0'(3'(0'(1'(0'(0'(1'(3'(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
   3'(z) -{ 1 }-> 3'(3'(3'(1'(2'(3'(1'(3'(0'(2'(2'(1'(3'(0'(2'(1'(1'(1'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   3'(z) -{ 2 }-> 3'(2'(3'(1'(1'(1'(0'(3'(3'(0'(2'(1'(3'(0'(1'(3'(1'(3'(3'(3'(2'(0'(3'(0'(3'(0'(1'(0'(0'(1'(3'(0'(2'(2'(2'(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'(2'(3'(1'(1'(1'(0'(3'(3'(0'(2'(1'(3'(0'(1'(3'(1'(3'(3'(3'(1'(2'(3'(1'(3'(0'(2'(2'(1'(3'(0'(2'(1'(1'(1'(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'(2'(3'(1'(1'(1'(0'(3'(3'(0'(2'(1'(3'(0'(1'(3'(1'(3'(2'(3'(1'(1'(1'(0'(3'(3'(0'(2'(1'(3'(0'(1'(3'(1'(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'(2'(3'(1'(1'(1'(0'(3'(3'(0'(2'(1'(3'(0'(1'(3'(1'(3'(2'(2'(3'(1'(3'(3'(2'(1'(3'(3'(0'(2'(0'(2'(3'(1'(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'(2'(3'(1'(1'(1'(0'(3'(3'(0'(2'(1'(3'(0'(1'(3'(1'(3'(1'(3'(2'(1'(3'(0'(2'(1'(0'(0'(2'(3'(1'(2'(3'(3'(0'(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'(2'(3'(1'(1'(1'(0'(3'(3'(0'(2'(1'(3'(0'(1'(3'(1'(3'(1'(3'(2'(1'(1'(1'(3'(3'(0'(3'(2'(1'(3'(0'(1'(3'(1'(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'(2'(3'(1'(1'(1'(0'(3'(3'(0'(2'(1'(3'(0'(1'(3'(1'(3'(0'(1'(3'(2'(3'(3'(1'(1'(0'(2'(0'(0'(3'(1'(3'(0'(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'(2'(3'(1'(1'(1'(0'(3'(3'(0'(2'(1'(3'(0'(1'(3'(1'(3'(0'(1'(3'(2'(0'(3'(0'(1'(2'(3'(0'(2'(0'(2'(2'(1'(1'(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'(2'(3'(1'(1'(1'(0'(3'(3'(0'(2'(1'(3'(0'(1'(3'(1'(3'(0'(1'(2'(1'(3'(3'(1'(3'(0'(1'(3'(1'(2'(0'(1'(3'(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'(2'(3'(1'(1'(1'(0'(3'(3'(0'(2'(1'(3'(0'(1'(3'(1'(3'(0'(0'(2'(1'(3'(2'(3'(3'(1'(1'(3'(1'(1'(0'(2'(0'(1'(x11272))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11272))))))))))))))))))))))))))))))))), x11272 >= 0
   3'(z) -{ 2 }-> 3'(2'(3'(1'(1'(1'(0'(3'(3'(0'(2'(1'(3'(0'(1'(3'(1'(1'(3'(0'(2'(0'(0'(3'(3'(2'(1'(3'(0'(3'(3'(1'(3'(3'(0'(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) -{ 1 }-> 3'(2'(3'(1'(1'(1'(0'(3'(3'(0'(2'(1'(3'(0'(1'(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'(2'(3'(1'(1'(1'(0'(3'(3'(0'(2'(1'(3'(0'(1'(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'(2'(2'(3'(1'(3'(3'(2'(1'(3'(3'(0'(2'(0'(2'(3'(1'(3'(3'(3'(2'(0'(3'(0'(3'(0'(1'(0'(0'(1'(3'(0'(2'(2'(2'(x11330))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11330))))))))))))))))))))))))))))))))), x11330 >= 0
   3'(z) -{ 2 }-> 3'(2'(2'(3'(1'(3'(3'(2'(1'(3'(3'(0'(2'(0'(2'(3'(1'(3'(3'(3'(1'(2'(3'(1'(3'(0'(2'(2'(1'(3'(0'(2'(1'(1'(1'(x11327))))))))))))))))))))))))))))))))))) :|: x11327 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11327)))))))))))))))))))))))))))))))))
   3'(z) -{ 2 }-> 3'(2'(2'(3'(1'(3'(3'(2'(1'(3'(3'(0'(2'(0'(2'(3'(1'(3'(2'(3'(1'(1'(1'(0'(3'(3'(0'(2'(1'(3'(0'(1'(3'(1'(3'(x11329))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11329))))))))))))))))))))))))))))))))), x11329 >= 0
   3'(z) -{ 2 }-> 3'(2'(2'(3'(1'(3'(3'(2'(1'(3'(3'(0'(2'(0'(2'(3'(1'(3'(2'(2'(3'(1'(3'(3'(2'(1'(3'(3'(0'(2'(0'(2'(3'(1'(3'(x11331))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11331))))))))))))))))))))))))))))))))), x11331 >= 0
   3'(z) -{ 2 }-> 3'(2'(2'(3'(1'(3'(3'(2'(1'(3'(3'(0'(2'(0'(2'(3'(1'(3'(1'(3'(2'(1'(3'(0'(2'(1'(0'(0'(2'(3'(1'(2'(3'(3'(0'(x11325))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11325))))))))))))))))))))))))))))))))), x11325 >= 0
   3'(z) -{ 2 }-> 3'(2'(2'(3'(1'(3'(3'(2'(1'(3'(3'(0'(2'(0'(2'(3'(1'(3'(1'(3'(2'(1'(1'(1'(3'(3'(0'(3'(2'(1'(3'(0'(1'(3'(1'(x11328))))))))))))))))))))))))))))))))))) :|: x11328 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11328)))))))))))))))))))))))))))))))))
   3'(z) -{ 2 }-> 3'(2'(2'(3'(1'(3'(3'(2'(1'(3'(3'(0'(2'(0'(2'(3'(1'(3'(0'(1'(3'(2'(3'(3'(1'(1'(0'(2'(0'(0'(3'(1'(3'(0'(2'(x11322))))))))))))))))))))))))))))))))))) :|: x11322 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11322)))))))))))))))))))))))))))))))))
   3'(z) -{ 2 }-> 3'(2'(2'(3'(1'(3'(3'(2'(1'(3'(3'(0'(2'(0'(2'(3'(1'(3'(0'(1'(3'(2'(0'(3'(0'(1'(2'(3'(0'(2'(0'(2'(2'(1'(1'(x11326))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11326))))))))))))))))))))))))))))))))), x11326 >= 0
   3'(z) -{ 2 }-> 3'(2'(2'(3'(1'(3'(3'(2'(1'(3'(3'(0'(2'(0'(2'(3'(1'(3'(0'(1'(2'(1'(3'(3'(1'(3'(0'(1'(3'(1'(2'(0'(1'(3'(2'(x11324))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11324))))))))))))))))))))))))))))))))), x11324 >= 0
   3'(z) -{ 2 }-> 3'(2'(2'(3'(1'(3'(3'(2'(1'(3'(3'(0'(2'(0'(2'(3'(1'(3'(0'(0'(2'(1'(3'(2'(3'(3'(1'(1'(3'(1'(1'(0'(2'(0'(1'(x11332))))))))))))))))))))))))))))))))))) :|: x11332 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11332)))))))))))))))))))))))))))))))))
   3'(z) -{ 2 }-> 3'(2'(2'(3'(1'(3'(3'(2'(1'(3'(3'(0'(2'(0'(2'(3'(1'(1'(3'(0'(2'(0'(0'(3'(3'(2'(1'(3'(0'(3'(3'(1'(3'(3'(0'(x11323))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11323))))))))))))))))))))))))))))))))), x11323 >= 0
   3'(z) -{ 1 }-> 3'(2'(2'(3'(1'(3'(3'(2'(1'(3'(3'(0'(2'(0'(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'(2'(2'(3'(1'(3'(3'(2'(1'(3'(3'(0'(2'(0'(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'(3'(2'(1'(3'(0'(2'(1'(0'(0'(2'(3'(1'(2'(3'(3'(0'(3'(0'(0'(0'(0'(1'(2'(0'(3'(3'(0'(0'(3'(0'(1'(3'(0'(x1871))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1871))))))))))))))))))))))))))))))))), x1871 >= 0
   3'(z) -{ 2 }-> 3'(1'(3'(2'(1'(3'(0'(2'(1'(0'(0'(2'(3'(1'(2'(3'(3'(0'(2'(3'(0'(3'(2'(2'(1'(2'(1'(1'(0'(0'(3'(0'(0'(1'(1'(x1873))))))))))))))))))))))))))))))))))) :|: x1873 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1873)))))))))))))))))))))))))))))))))
   3'(z) -{ 2 }-> 3'(1'(3'(2'(1'(3'(0'(2'(1'(0'(0'(2'(3'(1'(2'(3'(3'(0'(2'(2'(2'(2'(1'(3'(0'(0'(2'(1'(0'(2'(2'(2'(2'(0'(0'(x1874))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1874))))))))))))))))))))))))))))))))), x1874 >= 0
   3'(z) -{ 2 }-> 3'(1'(3'(2'(1'(3'(0'(2'(1'(0'(0'(2'(3'(1'(2'(3'(3'(0'(2'(1'(3'(0'(0'(3'(3'(0'(1'(0'(2'(2'(3'(3'(0'(0'(3'(x1867))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1867))))))))))))))))))))))))))))))))), x1867 >= 0
   3'(z) -{ 2 }-> 3'(1'(3'(2'(1'(3'(0'(2'(1'(0'(0'(2'(3'(1'(2'(3'(3'(0'(2'(1'(1'(3'(0'(0'(0'(1'(0'(2'(3'(1'(2'(2'(0'(2'(1'(x1870))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1870))))))))))))))))))))))))))))))))), x1870 >= 0
   3'(z) -{ 2 }-> 3'(1'(3'(2'(1'(3'(0'(2'(1'(0'(0'(2'(3'(1'(2'(3'(3'(0'(2'(1'(1'(1'(0'(2'(2'(0'(0'(1'(1'(0'(3'(0'(1'(3'(2'(x1872))))))))))))))))))))))))))))))))))) :|: x1872 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1872)))))))))))))))))))))))))))))))))
   3'(z) -{ 2 }-> 3'(1'(3'(2'(1'(3'(0'(2'(1'(0'(0'(2'(3'(1'(2'(3'(3'(0'(2'(0'(1'(3'(1'(1'(3'(1'(0'(1'(3'(2'(1'(3'(1'(1'(3'(x1876))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1876))))))))))))))))))))))))))))))))), x1876 >= 0
   3'(z) -{ 2 }-> 3'(1'(3'(2'(1'(3'(0'(2'(1'(0'(0'(2'(3'(1'(2'(3'(3'(0'(1'(2'(0'(0'(2'(1'(1'(0'(1'(1'(1'(0'(1'(3'(0'(2'(3'(x1868))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1868))))))))))))))))))))))))))))))))), x1868 >= 0
   3'(z) -{ 2 }-> 3'(1'(3'(2'(1'(3'(0'(2'(1'(0'(0'(2'(3'(1'(2'(3'(3'(0'(0'(2'(2'(1'(3'(0'(0'(1'(3'(0'(1'(0'(1'(0'(0'(1'(3'(x1877))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1877))))))))))))))))))))))))))))))))), x1877 >= 0
   3'(z) -{ 2 }-> 3'(1'(3'(2'(1'(3'(0'(2'(1'(0'(0'(2'(3'(1'(2'(3'(3'(0'(0'(1'(3'(0'(0'(2'(2'(2'(3'(2'(1'(1'(1'(1'(0'(3'(2'(x1875))))))))))))))))))))))))))))))))))) :|: x1875 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1875)))))))))))))))))))))))))))))))))
   3'(z) -{ 2 }-> 3'(1'(3'(2'(1'(3'(0'(2'(1'(0'(0'(2'(3'(1'(2'(3'(3'(0'(0'(1'(1'(3'(0'(3'(0'(0'(2'(2'(2'(0'(2'(2'(1'(3'(1'(x1869))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1869))))))))))))))))))))))))))))))))), x1869 >= 0
   3'(z) -{ 1 }-> 3'(1'(3'(2'(1'(3'(0'(2'(1'(0'(0'(2'(3'(1'(2'(3'(3'(0))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   3'(z) -{ 1 }-> 3'(1'(3'(2'(1'(3'(0'(2'(1'(0'(0'(2'(3'(1'(2'(3'(3'(1 + x1))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   3'(z) -{ 1 }-> 3'(1'(3'(2'(1'(1'(1'(3'(3'(0'(3'(2'(1'(3'(0'(1'(3'(1'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   3'(z) -{ 1 }-> 3'(0'(1'(3'(2'(3'(3'(1'(1'(0'(2'(0'(0'(3'(1'(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
   3'(z) -{ 1 }-> 3'(0'(1'(3'(2'(0'(3'(0'(1'(2'(3'(0'(2'(0'(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
   3'(z) -{ 1 }-> 3'(0'(1'(2'(1'(3'(3'(1'(3'(0'(1'(3'(1'(2'(0'(1'(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'(0'(2'(1'(3'(2'(3'(3'(1'(1'(3'(1'(1'(0'(2'(0'(1'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   3'(z) -{ 2 }-> 1'(3'(0'(2'(0'(0'(3'(3'(2'(1'(3'(0'(3'(3'(1'(3'(3'(0'(3'(0'(0'(0'(0'(1'(2'(0'(3'(3'(0'(0'(3'(0'(1'(3'(0'(x1547))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1547))))))))))))))))))))))))))))))))), x1547 >= 0
   3'(z) -{ 2 }-> 1'(3'(0'(2'(0'(0'(3'(3'(2'(1'(3'(0'(3'(3'(1'(3'(3'(0'(2'(3'(0'(3'(2'(2'(1'(2'(1'(1'(0'(0'(3'(0'(0'(1'(1'(x1549))))))))))))))))))))))))))))))))))) :|: x1549 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1549)))))))))))))))))))))))))))))))))
   3'(z) -{ 2 }-> 1'(3'(0'(2'(0'(0'(3'(3'(2'(1'(3'(0'(3'(3'(1'(3'(3'(0'(2'(2'(2'(2'(1'(3'(0'(0'(2'(1'(0'(2'(2'(2'(2'(0'(0'(x1550))))))))))))))))))))))))))))))))))) :|: x1550 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1550)))))))))))))))))))))))))))))))))
   3'(z) -{ 2 }-> 1'(3'(0'(2'(0'(0'(3'(3'(2'(1'(3'(0'(3'(3'(1'(3'(3'(0'(2'(1'(3'(0'(0'(3'(3'(0'(1'(0'(2'(2'(3'(3'(0'(0'(3'(x1543))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1543))))))))))))))))))))))))))))))))), x1543 >= 0
   3'(z) -{ 2 }-> 1'(3'(0'(2'(0'(0'(3'(3'(2'(1'(3'(0'(3'(3'(1'(3'(3'(0'(2'(1'(1'(3'(0'(0'(0'(1'(0'(2'(3'(1'(2'(2'(0'(2'(1'(x1546))))))))))))))))))))))))))))))))))) :|: x1546 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1546)))))))))))))))))))))))))))))))))
   3'(z) -{ 2 }-> 1'(3'(0'(2'(0'(0'(3'(3'(2'(1'(3'(0'(3'(3'(1'(3'(3'(0'(2'(1'(1'(1'(0'(2'(2'(0'(0'(1'(1'(0'(3'(0'(1'(3'(2'(x1548))))))))))))))))))))))))))))))))))) :|: x1548 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1548)))))))))))))))))))))))))))))))))
   3'(z) -{ 2 }-> 1'(3'(0'(2'(0'(0'(3'(3'(2'(1'(3'(0'(3'(3'(1'(3'(3'(0'(2'(0'(1'(3'(1'(1'(3'(1'(0'(1'(3'(2'(1'(3'(1'(1'(3'(x1552))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1552))))))))))))))))))))))))))))))))), x1552 >= 0
   3'(z) -{ 2 }-> 1'(3'(0'(2'(0'(0'(3'(3'(2'(1'(3'(0'(3'(3'(1'(3'(3'(0'(1'(2'(0'(0'(2'(1'(1'(0'(1'(1'(1'(0'(1'(3'(0'(2'(3'(x1544))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1544))))))))))))))))))))))))))))))))), x1544 >= 0
   3'(z) -{ 2 }-> 1'(3'(0'(2'(0'(0'(3'(3'(2'(1'(3'(0'(3'(3'(1'(3'(3'(0'(0'(2'(2'(1'(3'(0'(0'(1'(3'(0'(1'(0'(1'(0'(0'(1'(3'(x1553))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1553))))))))))))))))))))))))))))))))), x1553 >= 0
   3'(z) -{ 2 }-> 1'(3'(0'(2'(0'(0'(3'(3'(2'(1'(3'(0'(3'(3'(1'(3'(3'(0'(0'(1'(3'(0'(0'(2'(2'(2'(3'(2'(1'(1'(1'(1'(0'(3'(2'(x1551))))))))))))))))))))))))))))))))))) :|: x1551 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1551)))))))))))))))))))))))))))))))))
   3'(z) -{ 2 }-> 1'(3'(0'(2'(0'(0'(3'(3'(2'(1'(3'(0'(3'(3'(1'(3'(3'(0'(0'(1'(1'(3'(0'(3'(0'(0'(2'(2'(2'(0'(2'(2'(1'(3'(1'(x1545))))))))))))))))))))))))))))))))))) :|: x1545 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1545)))))))))))))))))))))))))))))))))
   3'(z) -{ 1 }-> 1'(3'(0'(2'(0'(0'(3'(3'(2'(1'(3'(0'(3'(3'(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 }-> 1'(3'(0'(2'(0'(0'(3'(3'(2'(1'(3'(0'(3'(3'(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) -{ 0 }-> 0 :|: v0 >= 0, z = v0
   3'(z) -{ 0 }-> 1 + x0 :|: z = x0, x0 >= 0
   encArg(z) -{ 0 }-> 3'(3'(encArg(x_114))) :|: z = 1 + (1 + x_114), x_114 >= 0
   encArg(z) -{ 0 }-> 3'(2'(encArg(x_113))) :|: x_113 >= 0, z = 1 + (1 + x_113)
   encArg(z) -{ 0 }-> 3'(1'(encArg(x_112))) :|: x_112 >= 0, z = 1 + (1 + x_112)
   encArg(z) -{ 0 }-> 3'(0'(encArg(x_111))) :|: z = 1 + (1 + x_111), x_111 >= 0
   encArg(z) -{ 0 }-> 3'(0) :|: z = 1 + x_1, x_1 >= 0
   encArg(z) -{ 0 }-> 2'(3'(encArg(x_110))) :|: z = 1 + (1 + x_110), x_110 >= 0
   encArg(z) -{ 0 }-> 2'(2'(encArg(x_19))) :|: z = 1 + (1 + x_19), x_19 >= 0
   encArg(z) -{ 0 }-> 2'(1'(encArg(x_18))) :|: z = 1 + (1 + x_18), x_18 >= 0
   encArg(z) -{ 0 }-> 2'(0'(encArg(x_17))) :|: x_17 >= 0, z = 1 + (1 + x_17)
   encArg(z) -{ 0 }-> 2'(0) :|: z = 1 + x_1, x_1 >= 0
   encArg(z) -{ 0 }-> 1'(3'(encArg(x_16))) :|: x_16 >= 0, z = 1 + (1 + x_16)
   encArg(z) -{ 0 }-> 1'(2'(encArg(x_15))) :|: x_15 >= 0, z = 1 + (1 + x_15)
   encArg(z) -{ 0 }-> 1'(1'(encArg(x_14))) :|: x_14 >= 0, z = 1 + (1 + x_14)
   encArg(z) -{ 0 }-> 1'(0'(encArg(x_13))) :|: z = 1 + (1 + x_13), x_13 >= 0
   encArg(z) -{ 0 }-> 1'(0) :|: z = 1 + x_1, x_1 >= 0
   encArg(z) -{ 0 }-> 0'(3'(encArg(x_12))) :|: z = 1 + (1 + x_12), x_12 >= 0
   encArg(z) -{ 0 }-> 0'(2'(encArg(x_11))) :|: x_11 >= 0, z = 1 + (1 + x_11)
   encArg(z) -{ 0 }-> 0'(1'(encArg(x_1''))) :|: z = 1 + (1 + x_1''), x_1'' >= 0
   encArg(z) -{ 0 }-> 0'(0'(encArg(x_1'))) :|: z = 1 + (1 + x_1'), x_1' >= 0
   encArg(z) -{ 0 }-> 0'(0) :|: z = 1 + x_1, x_1 >= 0
   encArg(z) -{ 0 }-> 0 :|: v0 >= 0, z = v0
   encode_0(z) -{ 0 }-> 0'(3'(encArg(x_118))) :|: z = 1 + x_118, x_118 >= 0
   encode_0(z) -{ 0 }-> 0'(2'(encArg(x_117))) :|: x_117 >= 0, z = 1 + x_117
   encode_0(z) -{ 0 }-> 0'(1'(encArg(x_116))) :|: x_116 >= 0, z = 1 + x_116
   encode_0(z) -{ 0 }-> 0'(0'(encArg(x_115))) :|: x_115 >= 0, z = 1 + x_115
   encode_0(z) -{ 0 }-> 0'(0) :|: x_1 >= 0, z = x_1
   encode_0(z) -{ 0 }-> 0 :|: v0 >= 0, z = v0
   encode_1(z) -{ 0 }-> 1'(3'(encArg(x_126))) :|: z = 1 + x_126, x_126 >= 0
   encode_1(z) -{ 0 }-> 1'(2'(encArg(x_125))) :|: z = 1 + x_125, x_125 >= 0
   encode_1(z) -{ 0 }-> 1'(1'(encArg(x_124))) :|: x_124 >= 0, z = 1 + x_124
   encode_1(z) -{ 0 }-> 1'(0'(encArg(x_123))) :|: x_123 >= 0, z = 1 + x_123
   encode_1(z) -{ 0 }-> 1'(0) :|: x_1 >= 0, z = x_1
   encode_1(z) -{ 0 }-> 0 :|: v0 >= 0, z = v0
   encode_2(z) -{ 0 }-> 2'(3'(encArg(x_122))) :|: x_122 >= 0, z = 1 + x_122
   encode_2(z) -{ 0 }-> 2'(2'(encArg(x_121))) :|: z = 1 + x_121, x_121 >= 0
   encode_2(z) -{ 0 }-> 2'(1'(encArg(x_120))) :|: x_120 >= 0, z = 1 + x_120
   encode_2(z) -{ 0 }-> 2'(0'(encArg(x_119))) :|: z = 1 + x_119, x_119 >= 0
   encode_2(z) -{ 0 }-> 2'(0) :|: x_1 >= 0, z = x_1
   encode_2(z) -{ 0 }-> 0 :|: v0 >= 0, z = v0
   encode_3(z) -{ 0 }-> 3'(3'(encArg(x_130))) :|: x_130 >= 0, z = 1 + x_130
   encode_3(z) -{ 0 }-> 3'(2'(encArg(x_129))) :|: z = 1 + x_129, x_129 >= 0
   encode_3(z) -{ 0 }-> 3'(1'(encArg(x_128))) :|: x_128 >= 0, z = 1 + x_128
   encode_3(z) -{ 0 }-> 3'(0'(encArg(x_127))) :|: x_127 >= 0, z = 1 + x_127
   encode_3(z) -{ 0 }-> 3'(0) :|: x_1 >= 0, z = x_1
   encode_3(z) -{ 0 }-> 0 :|: v0 >= 0, z = v0


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

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

   0'(z) -{ 2 }-> 0'(3'(0'(0'(0'(0'(1'(2'(0'(3'(3'(0'(0'(3'(0'(1'(3'(0'(3'(0'(0'(0'(0'(1'(2'(0'(3'(3'(0'(0'(3'(0'(1'(3'(0'(z - 34))))))))))))))))))))))))))))))))))) :|: z - 34 >= 0
   0'(z) -{ 2 }-> 0'(3'(0'(0'(0'(0'(1'(2'(0'(3'(3'(0'(0'(3'(0'(1'(3'(0'(2'(3'(0'(3'(2'(2'(1'(2'(1'(1'(0'(0'(3'(0'(0'(1'(1'(z - 34))))))))))))))))))))))))))))))))))) :|: z - 34 >= 0
   0'(z) -{ 2 }-> 0'(3'(0'(0'(0'(0'(1'(2'(0'(3'(3'(0'(0'(3'(0'(1'(3'(0'(2'(2'(2'(2'(1'(3'(0'(0'(2'(1'(0'(2'(2'(2'(2'(0'(0'(z - 34))))))))))))))))))))))))))))))))))) :|: z - 34 >= 0
   0'(z) -{ 2 }-> 0'(3'(0'(0'(0'(0'(1'(2'(0'(3'(3'(0'(0'(3'(0'(1'(3'(0'(2'(1'(3'(0'(0'(3'(3'(0'(1'(0'(2'(2'(3'(3'(0'(0'(3'(z - 34))))))))))))))))))))))))))))))))))) :|: z - 34 >= 0
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   3'(z) -{ 2 }-> 3'(2'(2'(3'(1'(3'(3'(2'(1'(3'(3'(0'(2'(0'(2'(3'(1'(3'(0'(1'(2'(1'(3'(3'(1'(3'(0'(1'(3'(1'(2'(0'(1'(3'(2'(z - 34))))))))))))))))))))))))))))))))))) :|: z - 34 >= 0
   3'(z) -{ 2 }-> 3'(2'(2'(3'(1'(3'(3'(2'(1'(3'(3'(0'(2'(0'(2'(3'(1'(3'(0'(0'(2'(1'(3'(2'(3'(3'(1'(1'(3'(1'(1'(0'(2'(0'(1'(z - 34))))))))))))))))))))))))))))))))))) :|: z - 34 >= 0
   3'(z) -{ 2 }-> 3'(2'(2'(3'(1'(3'(3'(2'(1'(3'(3'(0'(2'(0'(2'(3'(1'(1'(3'(0'(2'(0'(0'(3'(3'(2'(1'(3'(0'(3'(3'(1'(3'(3'(0'(z - 34))))))))))))))))))))))))))))))))))) :|: z - 34 >= 0
   3'(z) -{ 1 }-> 3'(2'(2'(3'(1'(3'(3'(2'(1'(3'(3'(0'(2'(0'(2'(3'(1'(0))))))))))))))))) :|: z - 17 >= 0
   3'(z) -{ 1 }-> 3'(2'(2'(3'(1'(3'(3'(2'(1'(3'(3'(0'(2'(0'(2'(3'(1'(1 + (z - 17)))))))))))))))))) :|: z - 17 >= 0
   3'(z) -{ 2 }-> 3'(1'(3'(2'(1'(3'(0'(2'(1'(0'(0'(2'(3'(1'(2'(3'(3'(0'(3'(0'(0'(0'(0'(1'(2'(0'(3'(3'(0'(0'(3'(0'(1'(3'(0'(z - 34))))))))))))))))))))))))))))))))))) :|: z - 34 >= 0
   3'(z) -{ 2 }-> 3'(1'(3'(2'(1'(3'(0'(2'(1'(0'(0'(2'(3'(1'(2'(3'(3'(0'(2'(3'(0'(3'(2'(2'(1'(2'(1'(1'(0'(0'(3'(0'(0'(1'(1'(z - 34))))))))))))))))))))))))))))))))))) :|: z - 34 >= 0
   3'(z) -{ 2 }-> 3'(1'(3'(2'(1'(3'(0'(2'(1'(0'(0'(2'(3'(1'(2'(3'(3'(0'(2'(2'(2'(2'(1'(3'(0'(0'(2'(1'(0'(2'(2'(2'(2'(0'(0'(z - 34))))))))))))))))))))))))))))))))))) :|: z - 34 >= 0
   3'(z) -{ 2 }-> 3'(1'(3'(2'(1'(3'(0'(2'(1'(0'(0'(2'(3'(1'(2'(3'(3'(0'(2'(1'(3'(0'(0'(3'(3'(0'(1'(0'(2'(2'(3'(3'(0'(0'(3'(z - 34))))))))))))))))))))))))))))))))))) :|: z - 34 >= 0
   3'(z) -{ 2 }-> 3'(1'(3'(2'(1'(3'(0'(2'(1'(0'(0'(2'(3'(1'(2'(3'(3'(0'(2'(1'(1'(3'(0'(0'(0'(1'(0'(2'(3'(1'(2'(2'(0'(2'(1'(z - 34))))))))))))))))))))))))))))))))))) :|: z - 34 >= 0
   3'(z) -{ 2 }-> 3'(1'(3'(2'(1'(3'(0'(2'(1'(0'(0'(2'(3'(1'(2'(3'(3'(0'(2'(1'(1'(1'(0'(2'(2'(0'(0'(1'(1'(0'(3'(0'(1'(3'(2'(z - 34))))))))))))))))))))))))))))))))))) :|: z - 34 >= 0
   3'(z) -{ 2 }-> 3'(1'(3'(2'(1'(3'(0'(2'(1'(0'(0'(2'(3'(1'(2'(3'(3'(0'(2'(0'(1'(3'(1'(1'(3'(1'(0'(1'(3'(2'(1'(3'(1'(1'(3'(z - 34))))))))))))))))))))))))))))))))))) :|: z - 34 >= 0
   3'(z) -{ 2 }-> 3'(1'(3'(2'(1'(3'(0'(2'(1'(0'(0'(2'(3'(1'(2'(3'(3'(0'(1'(2'(0'(0'(2'(1'(1'(0'(1'(1'(1'(0'(1'(3'(0'(2'(3'(z - 34))))))))))))))))))))))))))))))))))) :|: z - 34 >= 0
   3'(z) -{ 2 }-> 3'(1'(3'(2'(1'(3'(0'(2'(1'(0'(0'(2'(3'(1'(2'(3'(3'(0'(0'(2'(2'(1'(3'(0'(0'(1'(3'(0'(1'(0'(1'(0'(0'(1'(3'(z - 34))))))))))))))))))))))))))))))))))) :|: z - 34 >= 0
   3'(z) -{ 2 }-> 3'(1'(3'(2'(1'(3'(0'(2'(1'(0'(0'(2'(3'(1'(2'(3'(3'(0'(0'(1'(3'(0'(0'(2'(2'(2'(3'(2'(1'(1'(1'(1'(0'(3'(2'(z - 34))))))))))))))))))))))))))))))))))) :|: z - 34 >= 0
   3'(z) -{ 2 }-> 3'(1'(3'(2'(1'(3'(0'(2'(1'(0'(0'(2'(3'(1'(2'(3'(3'(0'(0'(1'(1'(3'(0'(3'(0'(0'(2'(2'(2'(0'(2'(2'(1'(3'(1'(z - 34))))))))))))))))))))))))))))))))))) :|: z - 34 >= 0
   3'(z) -{ 1 }-> 3'(1'(3'(2'(1'(3'(0'(2'(1'(0'(0'(2'(3'(1'(2'(3'(3'(0))))))))))))))))) :|: z - 17 >= 0
   3'(z) -{ 1 }-> 3'(1'(3'(2'(1'(3'(0'(2'(1'(0'(0'(2'(3'(1'(2'(3'(3'(1 + (z - 17)))))))))))))))))) :|: z - 17 >= 0
   3'(z) -{ 1 }-> 3'(1'(3'(2'(1'(1'(1'(3'(3'(0'(3'(2'(1'(3'(0'(1'(3'(1'(z - 17)))))))))))))))))) :|: z - 17 >= 0
   3'(z) -{ 1 }-> 3'(0'(1'(3'(2'(3'(3'(1'(1'(0'(2'(0'(0'(3'(1'(3'(0'(2'(z - 17)))))))))))))))))) :|: z - 17 >= 0
   3'(z) -{ 1 }-> 3'(0'(1'(3'(2'(0'(3'(0'(1'(2'(3'(0'(2'(0'(2'(2'(1'(1'(z - 17)))))))))))))))))) :|: z - 17 >= 0
   3'(z) -{ 1 }-> 3'(0'(1'(2'(1'(3'(3'(1'(3'(0'(1'(3'(1'(2'(0'(1'(3'(2'(z - 17)))))))))))))))))) :|: z - 17 >= 0
   3'(z) -{ 1 }-> 3'(0'(0'(2'(1'(3'(2'(3'(3'(1'(1'(3'(1'(1'(0'(2'(0'(1'(z - 17)))))))))))))))))) :|: z - 17 >= 0
   3'(z) -{ 2 }-> 1'(3'(0'(2'(0'(0'(3'(3'(2'(1'(3'(0'(3'(3'(1'(3'(3'(0'(3'(0'(0'(0'(0'(1'(2'(0'(3'(3'(0'(0'(3'(0'(1'(3'(0'(z - 34))))))))))))))))))))))))))))))))))) :|: z - 34 >= 0
   3'(z) -{ 2 }-> 1'(3'(0'(2'(0'(0'(3'(3'(2'(1'(3'(0'(3'(3'(1'(3'(3'(0'(2'(3'(0'(3'(2'(2'(1'(2'(1'(1'(0'(0'(3'(0'(0'(1'(1'(z - 34))))))))))))))))))))))))))))))))))) :|: z - 34 >= 0
   3'(z) -{ 2 }-> 1'(3'(0'(2'(0'(0'(3'(3'(2'(1'(3'(0'(3'(3'(1'(3'(3'(0'(2'(2'(2'(2'(1'(3'(0'(0'(2'(1'(0'(2'(2'(2'(2'(0'(0'(z - 34))))))))))))))))))))))))))))))))))) :|: z - 34 >= 0
   3'(z) -{ 2 }-> 1'(3'(0'(2'(0'(0'(3'(3'(2'(1'(3'(0'(3'(3'(1'(3'(3'(0'(2'(1'(3'(0'(0'(3'(3'(0'(1'(0'(2'(2'(3'(3'(0'(0'(3'(z - 34))))))))))))))))))))))))))))))))))) :|: z - 34 >= 0
   3'(z) -{ 2 }-> 1'(3'(0'(2'(0'(0'(3'(3'(2'(1'(3'(0'(3'(3'(1'(3'(3'(0'(2'(1'(1'(3'(0'(0'(0'(1'(0'(2'(3'(1'(2'(2'(0'(2'(1'(z - 34))))))))))))))))))))))))))))))))))) :|: z - 34 >= 0
   3'(z) -{ 2 }-> 1'(3'(0'(2'(0'(0'(3'(3'(2'(1'(3'(0'(3'(3'(1'(3'(3'(0'(2'(1'(1'(1'(0'(2'(2'(0'(0'(1'(1'(0'(3'(0'(1'(3'(2'(z - 34))))))))))))))))))))))))))))))))))) :|: z - 34 >= 0
   3'(z) -{ 2 }-> 1'(3'(0'(2'(0'(0'(3'(3'(2'(1'(3'(0'(3'(3'(1'(3'(3'(0'(2'(0'(1'(3'(1'(1'(3'(1'(0'(1'(3'(2'(1'(3'(1'(1'(3'(z - 34))))))))))))))))))))))))))))))))))) :|: z - 34 >= 0
   3'(z) -{ 2 }-> 1'(3'(0'(2'(0'(0'(3'(3'(2'(1'(3'(0'(3'(3'(1'(3'(3'(0'(1'(2'(0'(0'(2'(1'(1'(0'(1'(1'(1'(0'(1'(3'(0'(2'(3'(z - 34))))))))))))))))))))))))))))))))))) :|: z - 34 >= 0
   3'(z) -{ 2 }-> 1'(3'(0'(2'(0'(0'(3'(3'(2'(1'(3'(0'(3'(3'(1'(3'(3'(0'(0'(2'(2'(1'(3'(0'(0'(1'(3'(0'(1'(0'(1'(0'(0'(1'(3'(z - 34))))))))))))))))))))))))))))))))))) :|: z - 34 >= 0
   3'(z) -{ 2 }-> 1'(3'(0'(2'(0'(0'(3'(3'(2'(1'(3'(0'(3'(3'(1'(3'(3'(0'(0'(1'(3'(0'(0'(2'(2'(2'(3'(2'(1'(1'(1'(1'(0'(3'(2'(z - 34))))))))))))))))))))))))))))))))))) :|: z - 34 >= 0
   3'(z) -{ 2 }-> 1'(3'(0'(2'(0'(0'(3'(3'(2'(1'(3'(0'(3'(3'(1'(3'(3'(0'(0'(1'(1'(3'(0'(3'(0'(0'(2'(2'(2'(0'(2'(2'(1'(3'(1'(z - 34))))))))))))))))))))))))))))))))))) :|: z - 34 >= 0
   3'(z) -{ 1 }-> 1'(3'(0'(2'(0'(0'(3'(3'(2'(1'(3'(0'(3'(3'(1'(3'(3'(0))))))))))))))))) :|: z - 17 >= 0
   3'(z) -{ 1 }-> 1'(3'(0'(2'(0'(0'(3'(3'(2'(1'(3'(0'(3'(3'(1'(3'(3'(1 + (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_2(v0) -> null_encode_2 [0]
   encode_1(v0) -> null_encode_1 [0]
   encode_3(v0) -> null_encode_3 [0]
   0'(v0) -> null_0' [0]
   1'(v0) -> null_1' [0]
   2'(v0) -> null_2' [0]
   3'(v0) -> null_3' [0]

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

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

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

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

   2'(c_2(c_2(c_2(c_1(c_1(c_0(c_1(c_1(c_2(c_2(c_0(c_0(c_1(c_2(c_2(c_1(c_1(x1)))))))))))))))))) -> 0'(2'(1'(2'(0'(2'(0'(2'(2'(1'(2'(2'(2'(1'(1'(1'(1'(1'(x1)))))))))))))))))) [1]
   1'(c_0(c_1(c_0(c_2(c_0(c_2(c_3(c_1(c_1(c_2(c_2(c_0(c_0(c_3(c_0(c_3(c_2(x1)))))))))))))))))) -> 0'(0'(0'(1'(1'(3'(1'(3'(2'(0'(0'(2'(2'(1'(3'(0'(2'(2'(x1)))))))))))))))))) [1]
   0'(c_2(c_3(c_0(c_1(c_2(c_3(c_2(c_0(c_3(c_1(c_0(c_0(c_0(c_3(c_3(c_0(c_3(x1)))))))))))))))))) -> 0'(2'(1'(3'(0'(0'(3'(3'(0'(1'(0'(2'(2'(3'(3'(0'(0'(3'(x1)))))))))))))))))) [1]
   1'(c_2(c_0(c_0(c_2(c_1(c_3(c_2(c_2(c_3(c_2(c_2(c_0(c_3(c_2(c_3(c_2(c_2(x1)))))))))))))))))) -> 1'(2'(0'(3'(2'(2'(2'(2'(3'(0'(0'(2'(2'(2'(3'(1'(3'(2'(x1)))))))))))))))))) [1]
   1'(c_0(c_2(c_3(c_3(c_3(c_1(c_0(c_2(c_0(c_1(c_2(c_2(c_3(c_2(c_1(c_0(c_1(x1)))))))))))))))))) -> 2'(3'(2'(1'(0'(1'(3'(1'(3'(0'(2'(3'(0'(2'(0'(1'(2'(1'(x1)))))))))))))))))) [1]
   2'(c_0(c_1(c_3(c_3(c_3(c_3(c_3(c_1(c_1(c_3(c_2(c_0(c_1(c_0(c_0(c_1(c_0(x1)))))))))))))))))) -> 1'(3'(0'(2'(1'(1'(3'(0'(2'(3'(0'(0'(3'(1'(3'(3'(1'(0'(x1)))))))))))))))))) [1]
   2'(c_3(c_2(c_1(c_0(c_0(c_0(c_2(c_3(c_2(c_3(c_0(c_3(c_0(c_2(c_1(c_1(c_2(x1)))))))))))))))))) -> 2'(2'(3'(0'(3'(0'(2'(1'(0'(2'(2'(0'(1'(3'(1'(3'(0'(2'(x1)))))))))))))))))) [1]
   2'(c_1(c_2(c_2(c_3(c_2(c_3(c_0(c_1(c_3(c_2(c_1(c_1(c_3(c_3(c_2(c_2(c_2(x1)))))))))))))))))) -> 2'(1'(1'(1'(3'(2'(3'(2'(2'(3'(0'(2'(3'(2'(1'(3'(2'(2'(x1)))))))))))))))))) [1]
   2'(c_1(c_2(c_2(c_2(c_0(c_2(c_1(c_2(c_3(c_0(c_0(c_3(c_1(c_2(c_2(c_1(c_3(x1)))))))))))))))))) -> 0'(2'(0'(2'(1'(3'(2'(2'(1'(3'(2'(2'(1'(3'(0'(2'(1'(2'(x1)))))))))))))))))) [1]
   1'(c_1(c_1(c_2(c_1(c_1(c_1(c_2(c_1(c_3(c_1(c_0(c_1(c_2(c_1(c_2(c_3(c_1(x1)))))))))))))))))) -> 1'(1'(1'(1'(1'(1'(3'(0'(2'(2'(1'(1'(1'(2'(3'(1'(2'(1'(x1)))))))))))))))))) [1]
   2'(c_0(c_3(c_0(c_3(c_2(c_3(c_2(c_1(c_0(c_1(c_2(c_2(c_0(c_0(c_0(c_1(c_2(x1)))))))))))))))))) -> 0'(2'(2'(1'(2'(0'(1'(2'(0'(3'(0'(0'(2'(1'(3'(0'(3'(2'(x1)))))))))))))))))) [1]
   2'(c_3(c_0(c_2(c_0(c_3(c_2(c_0(c_2(c_3(c_2(c_1(c_2(c_2(c_2(c_3(c_0(c_3(x1)))))))))))))))))) -> 2'(3'(2'(3'(3'(0'(0'(2'(2'(2'(1'(3'(2'(0'(2'(3'(2'(0'(x1)))))))))))))))))) [1]
   2'(c_3(c_1(c_0(c_1(c_0(c_1(c_2(c_1(c_0(c_3(c_1(c_0(c_3(c_1(c_2(c_2(c_3(x1)))))))))))))))))) -> 2'(1'(2'(1'(1'(0'(1'(0'(2'(3'(0'(0'(3'(3'(3'(1'(1'(2'(x1)))))))))))))))))) [1]
   2'(c_1(c_0(c_1(c_1(c_3(c_3(c_0(c_1(c_0(c_1(c_2(c_3(c_3(c_0(c_3(c_2(c_2(x1)))))))))))))))))) -> 0'(3'(3'(1'(3'(3'(0'(2'(1'(1'(3'(1'(0'(2'(1'(2'(0'(2'(x1)))))))))))))))))) [1]
   2'(c_3(c_1(c_1(c_0(c_3(c_1(c_2(c_1(c_0(c_1(c_3(c_2(c_0(c_1(c_2(c_1(c_1(x1)))))))))))))))))) -> 2'(3'(2'(0'(1'(1'(1'(3'(2'(1'(1'(3'(0'(0'(1'(1'(2'(1'(x1)))))))))))))))))) [1]
   1'(c_1(c_0(c_3(c_1(c_0(c_2(c_3(c_1(c_1(c_0(c_3(c_3(c_0(c_3(c_1(c_1(c_1(x1)))))))))))))))))) -> 1'(1'(3'(1'(3'(2'(3'(0'(1'(0'(3'(0'(1'(3'(1'(0'(1'(1'(x1)))))))))))))))))) [1]
   0'(c_1(c_0(c_2(c_1(c_1(c_0(c_0(c_1(c_0(c_3(c_1(c_1(c_0(c_2(c_1(c_2(c_3(x1)))))))))))))))))) -> 0'(1'(2'(0'(0'(2'(1'(1'(0'(1'(1'(1'(0'(1'(3'(0'(2'(3'(x1)))))))))))))))))) [1]
   2'(c_1(c_2(c_2(c_2(c_1(c_3(c_2(c_0(c_0(c_2(c_3(c_2(c_3(c_3(c_3(c_0(c_3(x1)))))))))))))))))) -> 2'(3'(3'(1'(3'(2'(0'(3'(2'(1'(3'(0'(2'(2'(2'(2'(3'(0'(x1)))))))))))))))))) [1]
   2'(c_2(c_1(c_2(c_3(c_2(c_0(c_2(c_0(c_3(c_1(c_0(c_1(c_1(c_0(c_1(c_3(c_3(x1)))))))))))))))))) -> 2'(2'(0'(1'(2'(0'(1'(2'(3'(1'(0'(2'(0'(1'(3'(1'(3'(3'(x1)))))))))))))))))) [1]
   3'(c_1(c_0(c_0(c_3(c_0(c_3(c_2(c_3(c_2(c_3(c_0(c_1(c_0(c_1(c_1(c_2(c_3(x1)))))))))))))))))) -> 3'(0'(1'(3'(2'(3'(3'(1'(1'(0'(2'(0'(0'(3'(1'(3'(0'(2'(x1)))))))))))))))))) [1]
   1'(c_3(c_2(c_2(c_1(c_0(c_1(c_2(c_1(c_0(c_3(c_1(c_0(c_3(c_2(c_3(c_0(c_3(x1)))))))))))))))))) -> 3'(1'(3'(2'(1'(1'(0'(0'(2'(0'(0'(3'(1'(3'(2'(2'(1'(3'(x1)))))))))))))))))) [1]
   1'(c_2(c_1(c_2(c_1(c_2(c_0(c_1(c_0(c_1(c_3(c_1(c_0(c_0(c_0(c_1(c_3(c_3(x1)))))))))))))))))) -> 1'(1'(2'(2'(1'(0'(1'(3'(0'(1'(1'(3'(0'(2'(1'(3'(0'(0'(x1)))))))))))))))))) [1]
   1'(c_2(c_0(c_1(c_2(c_1(c_0(c_2(c_0(c_0(c_3(c_1(c_0(c_2(c_0(c_3(c_2(c_2(x1)))))))))))))))))) -> 1'(1'(0'(0'(0'(2'(1'(0'(2'(0'(3'(2'(2'(1'(0'(2'(3'(2'(x1)))))))))))))))))) [1]
   2'(c_1(c_1(c_1(c_0(c_2(c_2(c_2(c_1(c_0(c_2(c_0(c_0(c_2(c_2(c_2(c_2(c_1(x1)))))))))))))))))) -> 2'(2'(2'(2'(1'(1'(2'(0'(1'(0'(0'(0'(2'(1'(2'(2'(2'(1'(x1)))))))))))))))))) [1]
   3'(c_0(c_3(c_1(c_0(c_1(c_0(c_3(c_3(c_1(c_0(c_3(c_2(c_3(c_3(c_2(c_0(c_3(x1)))))))))))))))))) -> 1'(3'(0'(2'(0'(0'(3'(3'(2'(1'(3'(0'(3'(3'(1'(3'(3'(0'(x1)))))))))))))))))) [1]
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   1'(c_1(c_0(c_0(c_1(c_2(c_1(c_2(c_2(c_0(c_3(c_1(c_2(c_3(c_2(c_0(c_0(c_3(x1)))))))))))))))))) -> 1'(2'(2'(0'(2'(1'(0'(2'(1'(0'(0'(2'(3'(0'(1'(1'(3'(3'(x1)))))))))))))))))) [1]
   1'(c_2(c_0(c_2(c_0(c_0(c_0(c_3(c_0(c_1(c_0(c_1(c_1(c_0(c_3(c_1(c_0(c_3(x1)))))))))))))))))) -> 1'(3'(0'(3'(1'(1'(0'(1'(1'(0'(0'(0'(2'(2'(3'(0'(0'(0'(x1)))))))))))))))))) [1]
   0'(c_3(c_2(c_0(c_3(c_1(c_0(c_1(c_0(c_3(c_0(c_3(c_0(c_0(c_3(c_0(c_0(c_0(x1)))))))))))))))))) -> 0'(3'(0'(0'(0'(0'(1'(2'(0'(3'(3'(0'(0'(3'(0'(1'(3'(0'(x1)))))))))))))))))) [1]
   2'(c_3(c_2(c_2(c_2(c_3(c_0(c_3(c_1(c_0(c_3(c_2(c_1(c_1(c_2(c_0(c_2(c_3(x1)))))))))))))))))) -> 2'(2'(1'(1'(0'(1'(2'(3'(3'(0'(3'(3'(2'(2'(2'(0'(2'(3'(x1)))))))))))))))))) [1]
   1'(c_1(c_0(c_3(c_1(c_0(c_3(c_3(c_3(c_1(c_1(c_2(c_2(c_2(c_2(c_0(c_1(c_2(x1)))))))))))))))))) -> 2'(1'(1'(0'(0'(1'(1'(2'(3'(3'(3'(0'(1'(2'(3'(2'(1'(2'(x1)))))))))))))))))) [1]
   2'(c_2(c_3(c_1(c_2(c_3(c_0(c_3(c_1(c_1(c_1(c_0(c_1(c_1(c_0(c_1(c_3(c_1(x1)))))))))))))))))) -> 2'(3'(1'(1'(2'(0'(1'(3'(1'(1'(0'(1'(1'(3'(1'(3'(0'(2'(x1)))))))))))))))))) [1]
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   1'(c_3(c_3(c_0(c_0(c_3(c_3(c_1(c_0(c_0(c_2(c_3(c_3(c_1(c_3(c_2(c_3(c_1(x1)))))))))))))))))) -> 1'(3'(0'(0'(1'(3'(0'(1'(3'(3'(2'(2'(3'(3'(3'(3'(0'(1'(x1)))))))))))))))))) [1]
   1'(c_2(c_3(c_3(c_2(c_1(c_0(c_3(c_2(c_2(c_1(c_0(c_3(c_1(c_0(c_0(c_0(c_0(x1)))))))))))))))))) -> 0'(3'(0'(1'(2'(1'(3'(0'(1'(0'(2'(1'(2'(3'(3'(0'(2'(0'(x1)))))))))))))))))) [1]
   2'(c_2(c_0(c_3(c_1(c_2(c_0(c_3(c_1(c_2(c_1(c_3(c_0(c_1(c_0(c_3(c_0(c_0(x1)))))))))))))))))) -> 2'(3'(2'(2'(1'(3'(0'(3'(0'(1'(3'(0'(0'(0'(1'(1'(2'(0'(x1)))))))))))))))))) [1]
   3'(c_1(c_2(c_3(c_2(c_0(c_2(c_3(c_1(c_1(c_1(c_3(c_3(c_2(c_0(c_0(c_0(c_3(x1)))))))))))))))))) -> 3'(1'(3'(2'(1'(3'(0'(2'(1'(0'(0'(2'(3'(1'(2'(3'(3'(0'(x1)))))))))))))))))) [1]
   1'(c_0(c_3(c_0(c_3(c_1(c_0(c_3(c_3(c_1(c_2(c_1(c_3(c_2(c_0(c_2(c_1(c_0(x1)))))))))))))))))) -> 2'(2'(1'(3'(0'(0'(1'(3'(1'(0'(2'(0'(0'(3'(3'(3'(1'(1'(x1)))))))))))))))))) [1]
   3'(c_2(c_3(c_2(c_2(c_0(c_3(c_3(c_2(c_0(c_1(c_0(c_0(c_2(c_0(c_1(c_1(c_1(x1)))))))))))))))))) -> 3'(0'(1'(3'(2'(0'(3'(0'(1'(2'(3'(0'(2'(0'(2'(2'(1'(1'(x1)))))))))))))))))) [1]
   0'(c_1(c_2(c_3(c_2(c_1(c_0(c_1(c_2(c_2(c_0(c_0(c_1(c_0(c_3(c_1(c_0(c_1(x1)))))))))))))))))) -> 0'(2'(1'(1'(1'(0'(2'(2'(0'(0'(1'(1'(0'(3'(0'(1'(3'(2'(x1)))))))))))))))))) [1]
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   0'(c_2(c_1(c_0(c_3(c_0(c_3(c_0(c_3(c_2(c_0(c_1(c_0(c_1(c_2(c_2(c_1(c_1(x1)))))))))))))))))) -> 0'(2'(3'(0'(3'(2'(2'(1'(2'(1'(1'(0'(0'(3'(0'(0'(1'(1'(x1)))))))))))))))))) [1]
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   1'(c_1(c_3(c_2(c_0(c_2(c_3(c_1(c_0(c_1(c_0(c_2(c_3(c_3(c_2(c_2(c_0(c_0(x1)))))))))))))))))) -> 2'(0'(2'(3'(2'(0'(2'(0'(1'(2'(1'(3'(0'(1'(3'(0'(1'(3'(x1)))))))))))))))))) [1]
   1'(c_0(c_3(c_3(c_1(c_0(c_3(c_3(c_3(c_1(c_1(c_3(c_2(c_0(c_0(c_1(c_3(c_1(x1)))))))))))))))))) -> 1'(3'(3'(0'(1'(3'(3'(0'(1'(3'(3'(0'(1'(3'(2'(1'(0'(1'(x1)))))))))))))))))) [1]
   3'(c_3(c_1(c_2(c_2(c_2(c_3(c_3(c_3(c_1(c_3(c_0(c_1(c_1(c_1(c_2(c_1(c_0(x1)))))))))))))))))) -> 3'(3'(3'(1'(2'(3'(1'(3'(0'(2'(2'(1'(3'(0'(2'(1'(1'(1'(x1)))))))))))))))))) [1]
   0'(c_0(c_2(c_2(c_1(c_3(c_2(c_2(c_2(c_1(c_0(c_2(c_2(c_0(c_2(c_2(c_0(c_0(x1)))))))))))))))))) -> 0'(2'(2'(2'(2'(1'(3'(0'(0'(2'(1'(0'(2'(2'(2'(2'(0'(0'(x1)))))))))))))))))) [1]
   1'(c_2(c_1(c_3(c_2(c_3(c_3(c_1(c_1(c_1(c_0(c_1(c_0(c_0(c_3(c_2(c_0(c_3(x1)))))))))))))))))) -> 1'(3'(3'(2'(3'(0'(2'(1'(3'(1'(1'(3'(1'(2'(1'(0'(0'(0'(x1)))))))))))))))))) [1]
   3'(c_1(c_1(c_0(c_3(c_0(c_1(c_1(c_3(c_2(c_1(c_2(c_3(c_3(c_1(c_3(c_3(c_1(x1)))))))))))))))))) -> 3'(1'(3'(2'(1'(1'(1'(3'(3'(0'(3'(2'(1'(3'(0'(1'(3'(1'(x1)))))))))))))))))) [1]
   0'(c_3(c_1(c_1(c_2(c_3(c_0(c_3(c_0(c_1(c_0(c_1(c_2(c_2(c_1(c_0(c_2(c_2(x1)))))))))))))))))) -> 0'(0'(1'(3'(0'(0'(2'(2'(2'(3'(2'(1'(1'(1'(1'(0'(3'(2'(x1)))))))))))))))))) [1]
   1'(c_2(c_1(c_0(c_3(c_1(c_3(c_3(c_2(c_2(c_2(c_2(c_0(c_0(c_3(c_1(c_0(c_1(x1)))))))))))))))))) -> 3'(1'(2'(0'(1'(3'(2'(3'(2'(2'(0'(0'(0'(2'(3'(1'(1'(1'(x1)))))))))))))))))) [1]
   1'(c_2(c_3(c_3(c_1(c_2(c_2(c_2(c_1(c_0(c_1(c_2(c_0(c_1(c_3(c_2(c_0(c_1(x1)))))))))))))))))) -> 3'(3'(0'(0'(2'(0'(2'(2'(1'(1'(1'(3'(1'(2'(2'(1'(2'(1'(x1)))))))))))))))))) [1]
   1'(c_0(c_1(c_3(c_2(c_2(c_3(c_2(c_0(c_0(c_1(c_0(c_3(c_2(c_3(c_2(c_3(c_3(x1)))))))))))))))))) -> 1'(3'(3'(1'(2'(2'(0'(3'(0'(0'(1'(3'(0'(2'(2'(3'(2'(3'(x1)))))))))))))))))) [1]
   3'(c_3(c_0(c_1(c_0(c_3(c_2(c_0(c_1(c_1(c_1(c_1(c_3(c_1(c_2(c_3(c_3(c_3(x1)))))))))))))))))) -> 3'(2'(3'(1'(1'(1'(0'(3'(3'(0'(2'(1'(3'(0'(1'(3'(1'(3'(x1)))))))))))))))))) [1]
   2'(c_1(c_3(c_3(c_3(c_1(c_2(c_1(c_2(c_1(c_0(c_0(c_3(c_1(c_3(c_2(c_0(c_0(x1)))))))))))))))))) -> 2'(1'(3'(0'(1'(3'(1'(0'(2'(2'(0'(0'(1'(3'(1'(3'(2'(3'(x1)))))))))))))))))) [1]
   3'(c_3(c_1(c_0(c_3(c_2(c_3(c_0(c_3(c_1(c_0(c_2(c_0(c_3(c_0(c_2(c_2(c_0(x1)))))))))))))))))) -> 3'(3'(3'(2'(0'(3'(0'(3'(0'(1'(0'(0'(1'(3'(0'(2'(2'(2'(x1)))))))))))))))))) [1]
   1'(c_1(c_1(c_3(c_1(c_3(c_1(c_0(c_3(c_2(c_1(c_3(c_2(c_1(c_0(c_3(c_0(c_3(x1)))))))))))))))))) -> 1'(2'(2'(3'(0'(1'(3'(1'(1'(3'(0'(0'(1'(3'(1'(1'(3'(3'(x1)))))))))))))))))) [1]
   3'(c_1(c_2(c_0(c_3(c_2(c_2(c_3(c_2(c_0(c_3(c_3(c_2(c_3(c_3(c_1(c_1(c_3(x1)))))))))))))))))) -> 3'(2'(2'(3'(1'(3'(3'(2'(1'(3'(3'(0'(2'(0'(2'(3'(1'(3'(x1)))))))))))))))))) [1]
   0'(c_1(c_1(c_1(c_1(c_3(c_1(c_1(c_0(c_1(c_3(c_1(c_0(c_2(c_3(c_3(c_3(c_2(x1)))))))))))))))))) -> 0'(2'(0'(1'(3'(1'(1'(3'(1'(0'(1'(3'(2'(1'(3'(1'(1'(3'(x1)))))))))))))))))) [1]
   2'(c_2(c_1(c_0(c_1(c_2(c_0(c_0(c_3(c_0(c_2(c_1(c_1(c_2(c_1(c_2(c_1(c_2(x1)))))))))))))))))) -> 2'(2'(1'(0'(3'(2'(1'(1'(1'(0'(0'(2'(0'(1'(2'(2'(1'(2'(x1)))))))))))))))))) [1]
   3'(c_2(c_0(c_1(c_2(c_1(c_0(c_3(c_3(c_3(c_3(c_1(c_2(c_1(c_1(c_0(c_1(c_0(x1)))))))))))))))))) -> 3'(0'(0'(2'(1'(3'(2'(3'(3'(1'(1'(3'(1'(1'(0'(2'(0'(1'(x1)))))))))))))))))) [1]
   1'(c_3(c_3(c_0(c_1(c_1(c_3(c_2(c_2(c_1(c_1(c_0(c_3(c_1(c_2(c_1(c_0(c_0(x1)))))))))))))))))) -> 1'(3'(1'(1'(0'(0'(1'(1'(2'(1'(3'(0'(2'(3'(1'(0'(2'(3'(x1)))))))))))))))))) [1]
   2'(c_3(c_3(c_2(c_3(c_1(c_0(c_1(c_1(c_1(c_3(c_1(c_0(c_1(c_0(c_3(c_2(c_0(x1)))))))))))))))))) -> 2'(1'(0'(0'(1'(2'(3'(1'(1'(3'(3'(3'(1'(1'(3'(2'(0'(0'(x1)))))))))))))))))) [1]
   1'(c_1(c_1(c_1(c_0(c_1(c_3(c_2(c_1(c_1(c_2(c_2(c_0(c_2(c_2(c_3(c_0(c_2(x1)))))))))))))))))) -> 1'(1'(1'(2'(3'(0'(2'(2'(1'(1'(1'(2'(3'(0'(1'(2'(0'(2'(x1)))))))))))))))))) [1]
   1'(c_1(c_3(c_3(c_2(c_1(c_3(c_3(c_2(c_0(c_1(c_3(c_3(c_3(c_0(c_3(c_2(c_1(x1)))))))))))))))))) -> 1'(3'(1'(3'(0'(3'(3'(3'(1'(3'(3'(2'(3'(1'(2'(0'(2'(1'(x1)))))))))))))))))) [1]
   1'(c_0(c_2(c_3(c_1(c_2(c_3(c_1(c_2(c_3(c_2(c_3(c_2(c_1(c_2(c_2(c_2(c_2(x1)))))))))))))))))) -> 2'(3'(2'(2'(3'(0'(2'(1'(3'(2'(2'(1'(1'(1'(3'(2'(2'(2'(x1)))))))))))))))))) [1]
   2'(c_0(c_1(c_0(c_2(c_2(c_2(c_2(c_0(c_3(c_2(c_3(c_1(c_2(c_3(c_0(c_3(c_2(x1)))))))))))))))))) -> 2'(0'(2'(0'(2'(2'(3'(0'(3'(3'(1'(3'(0'(1'(2'(2'(2'(2'(x1)))))))))))))))))) [1]
   1'(c_3(c_3(c_2(c_2(c_1(c_0(c_3(c_2(c_1(c_1(c_1(c_2(c_3(c_1(c_0(c_1(c_0(x1)))))))))))))))))) -> 2'(0'(1'(2'(1'(2'(1'(3'(1'(1'(3'(0'(3'(2'(1'(3'(0'(1'(x1)))))))))))))))))) [1]
   2'(c_1(c_2(c_3(c_3(c_3(c_0(c_2(c_0(c_0(c_2(c_2(c_1(c_0(c_2(c_0(c_2(c_0(x1)))))))))))))))))) -> 0'(3'(0'(2'(2'(2'(1'(3'(0'(0'(1'(3'(0'(0'(2'(2'(2'(2'(x1)))))))))))))))))) [1]
   0'(c_3(c_0(c_1(c_0(c_3(c_0(c_1(c_1(c_1(c_2(c_0(c_0(c_0(c_3(c_2(c_1(c_0(x1)))))))))))))))))) -> 0'(0'(2'(2'(1'(3'(0'(0'(1'(3'(0'(1'(0'(1'(0'(0'(1'(3'(x1)))))))))))))))))) [1]
   2'(c_2(c_0(c_0(c_2(c_1(c_1(c_2(c_1(c_2(c_0(c_1(c_2(c_2(c_2(c_2(c_2(c_2(x1)))))))))))))))))) -> 2'(2'(2'(2'(1'(1'(0'(2'(1'(1'(2'(2'(0'(2'(0'(2'(2'(2'(x1)))))))))))))))))) [1]
   2'(c_2(c_1(c_1(c_3(c_1(c_0(c_0(c_1(c_2(c_3(c_2(c_3(c_1(c_0(c_1(c_1(c_0(x1)))))))))))))))))) -> 0'(1'(2'(2'(3'(1'(0'(2'(1'(3'(2'(1'(1'(3'(0'(1'(1'(0'(x1)))))))))))))))))) [1]
   2'(c_3(c_1(c_0(c_2(c_3(c_1(c_0(c_0(c_1(c_0(c_1(c_0(c_1(c_2(c_2(c_1(c_0(x1)))))))))))))))))) -> 2'(0'(3'(1'(0'(1'(0'(1'(2'(0'(2'(2'(1'(3'(0'(0'(1'(1'(x1)))))))))))))))))) [1]
   1'(c_2(c_3(c_1(c_1(c_0(c_0(c_3(c_3(c_0(c_2(c_1(c_3(c_3(c_0(c_3(c_2(c_3(x1)))))))))))))))))) -> 3'(1'(3'(0'(2'(3'(3'(1'(3'(0'(2'(1'(2'(0'(0'(1'(3'(3'(x1)))))))))))))))))) [1]
   2'(c_0(c_0(c_3(c_1(c_2(c_3(c_2(c_0(c_2(c_3(c_0(c_1(c_2(c_2(c_0(c_0(c_2(x1)))))))))))))))))) -> 2'(0'(2'(3'(1'(3'(0'(0'(3'(2'(0'(1'(0'(2'(0'(2'(2'(2'(x1)))))))))))))))))) [1]
   2'(c_2(c_1(c_1(c_2(c_3(c_1(c_2(c_1(c_3(c_1(c_0(c_2(c_2(c_0(c_3(c_1(c_1(x1)))))))))))))))))) -> 2'(2'(1'(2'(3'(1'(1'(3'(1'(2'(2'(1'(0'(0'(2'(1'(3'(1'(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_2(x_1) -> 2'(encArg(x_1)) [0]
   encode_1(x_1) -> 1'(encArg(x_1)) [0]
   encode_3(x_1) -> 3'(encArg(x_1)) [0]
   0'(x0) -> c_0(x0) [0]
   1'(x0) -> c_1(x0) [0]
   2'(x0) -> c_2(x0) [0]
   3'(x0) -> c_3(x0) [0]
   encArg(v0) -> null_encArg [0]
   encode_0(v0) -> null_encode_0 [0]
   encode_2(v0) -> null_encode_2 [0]
   encode_1(v0) -> null_encode_1 [0]
   encode_3(v0) -> null_encode_3 [0]
   0'(v0) -> null_0' [0]
   1'(v0) -> null_1' [0]
   2'(v0) -> null_2' [0]
   3'(v0) -> null_3' [0]

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

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

(35) CpxTypedWeightedTrsToRntsProof (UPPER BOUND(ID))
Transformed the TRS into an over-approximating RNTS by (improved) Size Abstraction.
The constant constructors are abstracted as follows:

   null_encArg => 0
   null_encode_0 => 0
   null_encode_2 => 0
   null_encode_1 => 0
   null_encode_3 => 0
   null_0' => 0
   null_1' => 0
   null_2' => 0
   null_3' => 0
   const => 0

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

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

   0'(z) -{ 1 }-> 0'(3'(0'(0'(0'(0'(1'(2'(0'(3'(3'(0'(0'(3'(0'(1'(3'(0'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   0'(z) -{ 1 }-> 0'(2'(3'(0'(3'(2'(2'(1'(2'(1'(1'(0'(0'(3'(0'(0'(1'(1'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   0'(z) -{ 1 }-> 0'(2'(2'(2'(2'(1'(3'(0'(0'(2'(1'(0'(2'(2'(2'(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
   0'(z) -{ 1 }-> 0'(2'(1'(3'(0'(0'(3'(3'(0'(1'(0'(2'(2'(3'(3'(0'(0'(3'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   0'(z) -{ 1 }-> 0'(2'(1'(1'(3'(0'(0'(0'(1'(0'(2'(3'(1'(2'(2'(0'(2'(1'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   0'(z) -{ 1 }-> 0'(2'(1'(1'(1'(0'(2'(2'(0'(0'(1'(1'(0'(3'(0'(1'(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'(2'(0'(1'(3'(1'(1'(3'(1'(0'(1'(3'(2'(1'(3'(1'(1'(3'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   0'(z) -{ 1 }-> 0'(1'(2'(0'(0'(2'(1'(1'(0'(1'(1'(1'(0'(1'(3'(0'(2'(3'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   0'(z) -{ 1 }-> 0'(0'(2'(2'(1'(3'(0'(0'(1'(3'(0'(1'(0'(1'(0'(0'(1'(3'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   0'(z) -{ 1 }-> 0'(0'(1'(3'(0'(0'(2'(2'(2'(3'(2'(1'(1'(1'(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
   0'(z) -{ 1 }-> 0'(0'(1'(1'(3'(0'(3'(0'(0'(2'(2'(2'(0'(2'(2'(1'(3'(1'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   0'(z) -{ 0 }-> 0 :|: v0 >= 0, z = v0
   0'(z) -{ 0 }-> 1 + x0 :|: z = x0, x0 >= 0
   1'(z) -{ 1 }-> 3'(3'(0'(0'(2'(0'(2'(2'(1'(1'(1'(3'(1'(2'(2'(1'(2'(1'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   1'(z) -{ 1 }-> 3'(1'(3'(2'(1'(1'(0'(0'(2'(0'(0'(3'(1'(3'(2'(2'(1'(3'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   1'(z) -{ 1 }-> 3'(1'(3'(0'(2'(3'(3'(1'(3'(0'(2'(1'(2'(0'(0'(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
   1'(z) -{ 1 }-> 3'(1'(2'(0'(1'(3'(2'(3'(2'(2'(0'(0'(0'(2'(3'(1'(1'(1'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   1'(z) -{ 1 }-> 3'(0'(2'(1'(1'(3'(3'(1'(0'(0'(2'(0'(2'(2'(3'(2'(0'(3'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   1'(z) -{ 1 }-> 2'(3'(2'(2'(3'(0'(2'(1'(3'(2'(2'(1'(1'(1'(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
   1'(z) -{ 1 }-> 2'(3'(2'(1'(0'(1'(3'(1'(3'(0'(2'(3'(0'(2'(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
   1'(z) -{ 1 }-> 2'(2'(1'(3'(0'(0'(1'(3'(1'(0'(2'(0'(0'(3'(3'(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
   1'(z) -{ 1 }-> 2'(1'(1'(0'(0'(1'(1'(2'(3'(3'(3'(0'(1'(2'(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
   1'(z) -{ 1 }-> 2'(0'(2'(3'(2'(0'(2'(0'(1'(2'(1'(3'(0'(1'(3'(0'(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 }-> 2'(0'(1'(2'(1'(2'(1'(3'(1'(1'(3'(0'(3'(2'(1'(3'(0'(1'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   1'(z) -{ 1 }-> 1'(3'(3'(3'(1'(2'(3'(1'(3'(0'(2'(1'(1'(3'(0'(3'(3'(1'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   1'(z) -{ 1 }-> 1'(3'(3'(2'(3'(0'(2'(1'(3'(1'(1'(3'(1'(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
   1'(z) -{ 1 }-> 1'(3'(3'(1'(2'(2'(0'(3'(0'(0'(1'(3'(0'(2'(2'(3'(2'(3'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   1'(z) -{ 1 }-> 1'(3'(3'(0'(1'(3'(3'(0'(1'(3'(3'(0'(1'(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
   1'(z) -{ 1 }-> 1'(3'(1'(3'(0'(3'(3'(3'(1'(3'(3'(2'(3'(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
   1'(z) -{ 1 }-> 1'(3'(1'(1'(0'(0'(1'(1'(2'(1'(3'(0'(2'(3'(1'(0'(2'(3'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   1'(z) -{ 1 }-> 1'(3'(0'(3'(1'(1'(0'(1'(1'(0'(0'(0'(2'(2'(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
   1'(z) -{ 1 }-> 1'(3'(0'(0'(1'(3'(0'(1'(3'(3'(2'(2'(3'(3'(3'(3'(0'(1'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   1'(z) -{ 1 }-> 1'(2'(2'(3'(0'(1'(3'(1'(1'(3'(0'(0'(1'(3'(1'(1'(3'(3'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   1'(z) -{ 1 }-> 1'(2'(2'(2'(0'(3'(3'(0'(0'(2'(0'(0'(0'(2'(2'(2'(3'(0'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   1'(z) -{ 1 }-> 1'(2'(2'(0'(2'(1'(0'(2'(1'(0'(0'(2'(3'(0'(1'(1'(3'(3'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   1'(z) -{ 1 }-> 1'(2'(0'(3'(2'(2'(2'(2'(3'(0'(0'(2'(2'(2'(3'(1'(3'(2'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   1'(z) -{ 1 }-> 1'(1'(3'(2'(1'(3'(1'(1'(0'(0'(1'(3'(2'(1'(0'(1'(1'(1'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   1'(z) -{ 1 }-> 1'(1'(3'(1'(3'(2'(3'(0'(1'(0'(3'(0'(1'(3'(1'(0'(1'(1'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   1'(z) -{ 1 }-> 1'(1'(2'(2'(1'(0'(1'(3'(0'(1'(1'(3'(0'(2'(1'(3'(0'(0'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   1'(z) -{ 1 }-> 1'(1'(1'(2'(3'(0'(2'(2'(1'(1'(1'(2'(3'(0'(1'(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
   1'(z) -{ 1 }-> 1'(1'(1'(1'(1'(1'(3'(0'(2'(2'(1'(1'(1'(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
   1'(z) -{ 1 }-> 1'(1'(0'(0'(0'(2'(1'(0'(2'(0'(3'(2'(2'(1'(0'(2'(3'(2'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   1'(z) -{ 1 }-> 0'(3'(0'(1'(2'(1'(3'(0'(1'(0'(2'(1'(2'(3'(3'(0'(2'(0'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   1'(z) -{ 1 }-> 0'(0'(0'(1'(1'(3'(1'(3'(2'(0'(0'(2'(2'(1'(3'(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
   1'(z) -{ 0 }-> 0 :|: v0 >= 0, z = v0
   1'(z) -{ 0 }-> 1 + x0 :|: z = x0, x0 >= 0
   2'(z) -{ 1 }-> 2'(3'(3'(1'(3'(2'(0'(3'(2'(1'(3'(0'(2'(2'(2'(2'(3'(0'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   2'(z) -{ 1 }-> 2'(3'(2'(3'(3'(0'(0'(2'(2'(2'(1'(3'(2'(0'(2'(3'(2'(0'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   2'(z) -{ 1 }-> 2'(3'(2'(2'(1'(3'(0'(3'(0'(1'(3'(0'(0'(0'(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 }-> 2'(3'(2'(0'(1'(1'(1'(3'(2'(1'(1'(3'(0'(0'(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
   2'(z) -{ 1 }-> 2'(3'(1'(1'(2'(0'(1'(3'(1'(1'(0'(1'(1'(3'(1'(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
   2'(z) -{ 1 }-> 2'(2'(3'(1'(3'(2'(1'(3'(3'(1'(0'(0'(2'(3'(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
   2'(z) -{ 1 }-> 2'(2'(3'(0'(3'(0'(2'(1'(0'(2'(2'(0'(1'(3'(1'(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
   2'(z) -{ 1 }-> 2'(2'(2'(2'(1'(1'(2'(0'(1'(0'(0'(0'(2'(1'(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
   2'(z) -{ 1 }-> 2'(2'(2'(2'(1'(1'(0'(2'(1'(1'(2'(2'(0'(2'(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
   2'(z) -{ 1 }-> 2'(2'(1'(2'(3'(1'(1'(3'(1'(2'(2'(1'(0'(0'(2'(1'(3'(1'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   2'(z) -{ 1 }-> 2'(2'(1'(1'(0'(1'(2'(3'(3'(0'(3'(3'(2'(2'(2'(0'(2'(3'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   2'(z) -{ 1 }-> 2'(2'(1'(0'(3'(2'(1'(1'(1'(0'(0'(2'(0'(1'(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'(2'(0'(1'(2'(0'(1'(2'(3'(1'(0'(2'(0'(1'(3'(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'(1'(3'(0'(1'(3'(1'(0'(2'(2'(0'(0'(1'(3'(1'(3'(2'(3'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   2'(z) -{ 1 }-> 2'(1'(2'(1'(1'(0'(1'(0'(2'(3'(0'(0'(3'(3'(3'(1'(1'(2'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   2'(z) -{ 1 }-> 2'(1'(1'(1'(3'(2'(3'(2'(2'(3'(0'(2'(3'(2'(1'(3'(2'(2'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   2'(z) -{ 1 }-> 2'(1'(0'(0'(1'(2'(3'(1'(1'(3'(3'(3'(1'(1'(3'(2'(0'(0'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   2'(z) -{ 1 }-> 2'(0'(3'(1'(0'(1'(0'(1'(2'(0'(2'(2'(1'(3'(0'(0'(1'(1'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   2'(z) -{ 1 }-> 2'(0'(2'(3'(1'(3'(0'(0'(3'(2'(0'(1'(0'(2'(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
   2'(z) -{ 1 }-> 2'(0'(2'(0'(2'(2'(3'(0'(3'(3'(1'(3'(0'(1'(2'(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
   2'(z) -{ 1 }-> 1'(3'(0'(2'(1'(1'(3'(0'(2'(3'(0'(0'(3'(1'(3'(3'(1'(0'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   2'(z) -{ 1 }-> 0'(3'(3'(1'(3'(3'(0'(2'(1'(1'(3'(1'(0'(2'(1'(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'(0'(2'(2'(2'(1'(3'(0'(0'(1'(3'(0'(0'(2'(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
   2'(z) -{ 1 }-> 0'(2'(2'(1'(2'(0'(1'(2'(0'(3'(0'(0'(2'(1'(3'(0'(3'(2'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   2'(z) -{ 1 }-> 0'(2'(1'(2'(0'(2'(0'(2'(2'(1'(2'(2'(2'(1'(1'(1'(1'(1'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   2'(z) -{ 1 }-> 0'(2'(0'(2'(1'(3'(2'(2'(1'(3'(2'(2'(1'(3'(0'(2'(1'(2'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   2'(z) -{ 1 }-> 0'(1'(2'(2'(3'(1'(0'(2'(1'(3'(2'(1'(1'(3'(0'(1'(1'(0'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   2'(z) -{ 0 }-> 0 :|: v0 >= 0, z = v0
   2'(z) -{ 0 }-> 1 + x0 :|: z = x0, x0 >= 0
   3'(z) -{ 1 }-> 3'(3'(3'(2'(0'(3'(0'(3'(0'(1'(0'(0'(1'(3'(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
   3'(z) -{ 1 }-> 3'(3'(3'(1'(2'(3'(1'(3'(0'(2'(2'(1'(3'(0'(2'(1'(1'(1'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   3'(z) -{ 1 }-> 3'(2'(3'(1'(1'(1'(0'(3'(3'(0'(2'(1'(3'(0'(1'(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
   3'(z) -{ 1 }-> 3'(2'(2'(3'(1'(3'(3'(2'(1'(3'(3'(0'(2'(0'(2'(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
   3'(z) -{ 1 }-> 3'(1'(3'(2'(1'(3'(0'(2'(1'(0'(0'(2'(3'(1'(2'(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'(1'(3'(2'(1'(1'(1'(3'(3'(0'(3'(2'(1'(3'(0'(1'(3'(1'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   3'(z) -{ 1 }-> 3'(0'(1'(3'(2'(3'(3'(1'(1'(0'(2'(0'(0'(3'(1'(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
   3'(z) -{ 1 }-> 3'(0'(1'(3'(2'(0'(3'(0'(1'(2'(3'(0'(2'(0'(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
   3'(z) -{ 1 }-> 3'(0'(1'(2'(1'(3'(3'(1'(3'(0'(1'(3'(1'(2'(0'(1'(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'(0'(2'(1'(3'(2'(3'(3'(1'(1'(3'(1'(1'(0'(2'(0'(1'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   3'(z) -{ 1 }-> 1'(3'(0'(2'(0'(0'(3'(3'(2'(1'(3'(0'(3'(3'(1'(3'(3'(0'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   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_2(z0) -> 2(encArg(z0))
   encode_1(z0) -> 1(encArg(z0))
   encode_3(z0) -> 3(encArg(z0))
   0(z0) -> c_0(z0)
   0(c_2(c_3(c_0(c_1(c_2(c_3(c_2(c_0(c_3(c_1(c_0(c_0(c_0(c_3(c_3(c_0(c_3(z0)))))))))))))))))) -> 0(2(1(3(0(0(3(3(0(1(0(2(2(3(3(0(0(3(z0))))))))))))))))))
   0(c_1(c_0(c_2(c_1(c_1(c_0(c_0(c_1(c_0(c_3(c_1(c_1(c_0(c_2(c_1(c_2(c_3(z0)))))))))))))))))) -> 0(1(2(0(0(2(1(1(0(1(1(1(0(1(3(0(2(3(z0))))))))))))))))))
   0(c_1(c_0(c_3(c_2(c_0(c_0(c_0(c_3(c_3(c_0(c_2(c_2(c_2(c_2(c_1(c_1(c_1(z0)))))))))))))))))) -> 0(0(1(1(3(0(3(0(0(2(2(2(0(2(2(1(3(1(z0))))))))))))))))))
   0(c_0(c_3(c_1(c_0(c_2(c_2(c_0(c_2(c_3(c_1(c_1(c_0(c_1(c_2(c_2(c_0(c_1(z0)))))))))))))))))) -> 0(2(1(1(3(0(0(0(1(0(2(3(1(2(2(0(2(1(z0))))))))))))))))))
   0(c_3(c_2(c_0(c_3(c_1(c_0(c_1(c_0(c_3(c_0(c_3(c_0(c_0(c_3(c_0(c_0(c_0(z0)))))))))))))))))) -> 0(3(0(0(0(0(1(2(0(3(3(0(0(3(0(1(3(0(z0))))))))))))))))))
   0(c_1(c_2(c_3(c_2(c_1(c_0(c_1(c_2(c_2(c_0(c_0(c_1(c_0(c_3(c_1(c_0(c_1(z0)))))))))))))))))) -> 0(2(1(1(1(0(2(2(0(0(1(1(0(3(0(1(3(2(z0))))))))))))))))))
   0(c_2(c_1(c_0(c_3(c_0(c_3(c_0(c_3(c_2(c_0(c_1(c_0(c_1(c_2(c_2(c_1(c_1(z0)))))))))))))))))) -> 0(2(3(0(3(2(2(1(2(1(1(0(0(3(0(0(1(1(z0))))))))))))))))))
   0(c_0(c_2(c_2(c_1(c_3(c_2(c_2(c_2(c_1(c_0(c_2(c_2(c_0(c_2(c_2(c_0(c_0(z0)))))))))))))))))) -> 0(2(2(2(2(1(3(0(0(2(1(0(2(2(2(2(0(0(z0))))))))))))))))))
   0(c_3(c_1(c_1(c_2(c_3(c_0(c_3(c_0(c_1(c_0(c_1(c_2(c_2(c_1(c_0(c_2(c_2(z0)))))))))))))))))) -> 0(0(1(3(0(0(2(2(2(3(2(1(1(1(1(0(3(2(z0))))))))))))))))))
   0(c_1(c_1(c_1(c_1(c_3(c_1(c_1(c_0(c_1(c_3(c_1(c_0(c_2(c_3(c_3(c_3(c_2(z0)))))))))))))))))) -> 0(2(0(1(3(1(1(3(1(0(1(3(2(1(3(1(1(3(z0))))))))))))))))))
   0(c_3(c_0(c_1(c_0(c_3(c_0(c_1(c_1(c_1(c_2(c_0(c_0(c_0(c_3(c_2(c_1(c_0(z0)))))))))))))))))) -> 0(0(2(2(1(3(0(0(1(3(0(1(0(1(0(0(1(3(z0))))))))))))))))))
   1(z0) -> c_1(z0)
   1(c_0(c_1(c_0(c_2(c_0(c_2(c_3(c_1(c_1(c_2(c_2(c_0(c_0(c_3(c_0(c_3(c_2(z0)))))))))))))))))) -> 0(0(0(1(1(3(1(3(2(0(0(2(2(1(3(0(2(2(z0))))))))))))))))))
   1(c_2(c_0(c_0(c_2(c_1(c_3(c_2(c_2(c_3(c_2(c_2(c_0(c_3(c_2(c_3(c_2(c_2(z0)))))))))))))))))) -> 1(2(0(3(2(2(2(2(3(0(0(2(2(2(3(1(3(2(z0))))))))))))))))))
   1(c_0(c_2(c_3(c_3(c_3(c_1(c_0(c_2(c_0(c_1(c_2(c_2(c_3(c_2(c_1(c_0(c_1(z0)))))))))))))))))) -> 2(3(2(1(0(1(3(1(3(0(2(3(0(2(0(1(2(1(z0))))))))))))))))))
   1(c_1(c_1(c_2(c_1(c_1(c_1(c_2(c_1(c_3(c_1(c_0(c_1(c_2(c_1(c_2(c_3(c_1(z0)))))))))))))))))) -> 1(1(1(1(1(1(3(0(2(2(1(1(1(2(3(1(2(1(z0))))))))))))))))))
   1(c_1(c_0(c_3(c_1(c_0(c_2(c_3(c_1(c_1(c_0(c_3(c_3(c_0(c_3(c_1(c_1(c_1(z0)))))))))))))))))) -> 1(1(3(1(3(2(3(0(1(0(3(0(1(3(1(0(1(1(z0))))))))))))))))))
   1(c_3(c_2(c_2(c_1(c_0(c_1(c_2(c_1(c_0(c_3(c_1(c_0(c_3(c_2(c_3(c_0(c_3(z0)))))))))))))))))) -> 3(1(3(2(1(1(0(0(2(0(0(3(1(3(2(2(1(3(z0))))))))))))))))))
   1(c_2(c_1(c_2(c_1(c_2(c_0(c_1(c_0(c_1(c_3(c_1(c_0(c_0(c_0(c_1(c_3(c_3(z0)))))))))))))))))) -> 1(1(2(2(1(0(1(3(0(1(1(3(0(2(1(3(0(0(z0))))))))))))))))))
   1(c_2(c_0(c_1(c_2(c_1(c_0(c_2(c_0(c_0(c_3(c_1(c_0(c_2(c_0(c_3(c_2(c_2(z0)))))))))))))))))) -> 1(1(0(0(0(2(1(0(2(0(3(2(2(1(0(2(3(2(z0))))))))))))))))))
   1(c_3(c_1(c_1(c_0(c_1(c_2(c_1(c_1(c_1(c_0(c_3(c_1(c_1(c_0(c_2(c_3(c_1(z0)))))))))))))))))) -> 1(1(3(2(1(3(1(1(0(0(1(3(2(1(0(1(1(1(z0))))))))))))))))))
   1(c_3(c_1(c_3(c_2(c_0(c_1(c_3(c_1(c_1(c_3(c_2(c_3(c_3(c_3(c_3(c_0(c_1(z0)))))))))))))))))) -> 1(3(3(3(1(2(3(1(3(0(2(1(1(3(0(3(3(1(z0))))))))))))))))))
   1(c_0(c_0(c_0(c_1(c_2(c_3(c_3(c_2(c_2(c_1(c_0(c_2(c_3(c_3(c_2(c_0(c_3(z0)))))))))))))))))) -> 3(0(2(1(1(3(3(1(0(0(2(0(2(2(3(2(0(3(z0))))))))))))))))))
   1(c_1(c_0(c_0(c_1(c_2(c_1(c_2(c_2(c_0(c_3(c_1(c_2(c_3(c_2(c_0(c_0(c_3(z0)))))))))))))))))) -> 1(2(2(0(2(1(0(2(1(0(0(2(3(0(1(1(3(3(z0))))))))))))))))))
   1(c_2(c_0(c_2(c_0(c_0(c_0(c_3(c_0(c_1(c_0(c_1(c_1(c_0(c_3(c_1(c_0(c_3(z0)))))))))))))))))) -> 1(3(0(3(1(1(0(1(1(0(0(0(2(2(3(0(0(0(z0))))))))))))))))))
   1(c_1(c_0(c_3(c_1(c_0(c_3(c_3(c_3(c_1(c_1(c_2(c_2(c_2(c_2(c_0(c_1(c_2(z0)))))))))))))))))) -> 2(1(1(0(0(1(1(2(3(3(3(0(1(2(3(2(1(2(z0))))))))))))))))))
   1(c_3(c_3(c_0(c_0(c_3(c_3(c_1(c_0(c_0(c_2(c_3(c_3(c_1(c_3(c_2(c_3(c_1(z0)))))))))))))))))) -> 1(3(0(0(1(3(0(1(3(3(2(2(3(3(3(3(0(1(z0))))))))))))))))))
   1(c_2(c_3(c_3(c_2(c_1(c_0(c_3(c_2(c_2(c_1(c_0(c_3(c_1(c_0(c_0(c_0(c_0(z0)))))))))))))))))) -> 0(3(0(1(2(1(3(0(1(0(2(1(2(3(3(0(2(0(z0))))))))))))))))))
   1(c_0(c_3(c_0(c_3(c_1(c_0(c_3(c_3(c_1(c_2(c_1(c_3(c_2(c_0(c_2(c_1(c_0(z0)))))))))))))))))) -> 2(2(1(3(0(0(1(3(1(0(2(0(0(3(3(3(1(1(z0))))))))))))))))))
   1(c_2(c_3(c_0(c_3(c_2(c_0(c_2(c_0(c_2(c_0(c_3(c_2(c_0(c_2(c_2(c_0(c_0(z0)))))))))))))))))) -> 1(2(2(2(0(3(3(0(0(2(0(0(0(2(2(2(3(0(z0))))))))))))))))))
   1(c_1(c_3(c_2(c_0(c_2(c_3(c_1(c_0(c_1(c_0(c_2(c_3(c_3(c_2(c_2(c_0(c_0(z0)))))))))))))))))) -> 2(0(2(3(2(0(2(0(1(2(1(3(0(1(3(0(1(3(z0))))))))))))))))))
   1(c_0(c_3(c_3(c_1(c_0(c_3(c_3(c_3(c_1(c_1(c_3(c_2(c_0(c_0(c_1(c_3(c_1(z0)))))))))))))))))) -> 1(3(3(0(1(3(3(0(1(3(3(0(1(3(2(1(0(1(z0))))))))))))))))))
   1(c_2(c_1(c_3(c_2(c_3(c_3(c_1(c_1(c_1(c_0(c_1(c_0(c_0(c_3(c_2(c_0(c_3(z0)))))))))))))))))) -> 1(3(3(2(3(0(2(1(3(1(1(3(1(2(1(0(0(0(z0))))))))))))))))))
   1(c_2(c_1(c_0(c_3(c_1(c_3(c_3(c_2(c_2(c_2(c_2(c_0(c_0(c_3(c_1(c_0(c_1(z0)))))))))))))))))) -> 3(1(2(0(1(3(2(3(2(2(0(0(0(2(3(1(1(1(z0))))))))))))))))))
   1(c_2(c_3(c_3(c_1(c_2(c_2(c_2(c_1(c_0(c_1(c_2(c_0(c_1(c_3(c_2(c_0(c_1(z0)))))))))))))))))) -> 3(3(0(0(2(0(2(2(1(1(1(3(1(2(2(1(2(1(z0))))))))))))))))))
   1(c_0(c_1(c_3(c_2(c_2(c_3(c_2(c_0(c_0(c_1(c_0(c_3(c_2(c_3(c_2(c_3(c_3(z0)))))))))))))))))) -> 1(3(3(1(2(2(0(3(0(0(1(3(0(2(2(3(2(3(z0))))))))))))))))))
   1(c_1(c_1(c_3(c_1(c_3(c_1(c_0(c_3(c_2(c_1(c_3(c_2(c_1(c_0(c_3(c_0(c_3(z0)))))))))))))))))) -> 1(2(2(3(0(1(3(1(1(3(0(0(1(3(1(1(3(3(z0))))))))))))))))))
   1(c_3(c_3(c_0(c_1(c_1(c_3(c_2(c_2(c_1(c_1(c_0(c_3(c_1(c_2(c_1(c_0(c_0(z0)))))))))))))))))) -> 1(3(1(1(0(0(1(1(2(1(3(0(2(3(1(0(2(3(z0))))))))))))))))))
   1(c_1(c_1(c_1(c_0(c_1(c_3(c_2(c_1(c_1(c_2(c_2(c_0(c_2(c_2(c_3(c_0(c_2(z0)))))))))))))))))) -> 1(1(1(2(3(0(2(2(1(1(1(2(3(0(1(2(0(2(z0))))))))))))))))))
   1(c_1(c_3(c_3(c_2(c_1(c_3(c_3(c_2(c_0(c_1(c_3(c_3(c_3(c_0(c_3(c_2(c_1(z0)))))))))))))))))) -> 1(3(1(3(0(3(3(3(1(3(3(2(3(1(2(0(2(1(z0))))))))))))))))))
   1(c_0(c_2(c_3(c_1(c_2(c_3(c_1(c_2(c_3(c_2(c_3(c_2(c_1(c_2(c_2(c_2(c_2(z0)))))))))))))))))) -> 2(3(2(2(3(0(2(1(3(2(2(1(1(1(3(2(2(2(z0))))))))))))))))))
   1(c_3(c_3(c_2(c_2(c_1(c_0(c_3(c_2(c_1(c_1(c_1(c_2(c_3(c_1(c_0(c_1(c_0(z0)))))))))))))))))) -> 2(0(1(2(1(2(1(3(1(1(3(0(3(2(1(3(0(1(z0))))))))))))))))))
   1(c_2(c_3(c_1(c_1(c_0(c_0(c_3(c_3(c_0(c_2(c_1(c_3(c_3(c_0(c_3(c_2(c_3(z0)))))))))))))))))) -> 3(1(3(0(2(3(3(1(3(0(2(1(2(0(0(1(3(3(z0))))))))))))))))))
   2(z0) -> c_2(z0)
   2(c_2(c_2(c_2(c_1(c_1(c_0(c_1(c_1(c_2(c_2(c_0(c_0(c_1(c_2(c_2(c_1(c_1(z0)))))))))))))))))) -> 0(2(1(2(0(2(0(2(2(1(2(2(2(1(1(1(1(1(z0))))))))))))))))))
   2(c_0(c_1(c_3(c_3(c_3(c_3(c_3(c_1(c_1(c_3(c_2(c_0(c_1(c_0(c_0(c_1(c_0(z0)))))))))))))))))) -> 1(3(0(2(1(1(3(0(2(3(0(0(3(1(3(3(1(0(z0))))))))))))))))))
   2(c_3(c_2(c_1(c_0(c_0(c_0(c_2(c_3(c_2(c_3(c_0(c_3(c_0(c_2(c_1(c_1(c_2(z0)))))))))))))))))) -> 2(2(3(0(3(0(2(1(0(2(2(0(1(3(1(3(0(2(z0))))))))))))))))))
   2(c_1(c_2(c_2(c_3(c_2(c_3(c_0(c_1(c_3(c_2(c_1(c_1(c_3(c_3(c_2(c_2(c_2(z0)))))))))))))))))) -> 2(1(1(1(3(2(3(2(2(3(0(2(3(2(1(3(2(2(z0))))))))))))))))))
   2(c_1(c_2(c_2(c_2(c_0(c_2(c_1(c_2(c_3(c_0(c_0(c_3(c_1(c_2(c_2(c_1(c_3(z0)))))))))))))))))) -> 0(2(0(2(1(3(2(2(1(3(2(2(1(3(0(2(1(2(z0))))))))))))))))))
   2(c_0(c_3(c_0(c_3(c_2(c_3(c_2(c_1(c_0(c_1(c_2(c_2(c_0(c_0(c_0(c_1(c_2(z0)))))))))))))))))) -> 0(2(2(1(2(0(1(2(0(3(0(0(2(1(3(0(3(2(z0))))))))))))))))))
   2(c_3(c_0(c_2(c_0(c_3(c_2(c_0(c_2(c_3(c_2(c_1(c_2(c_2(c_2(c_3(c_0(c_3(z0)))))))))))))))))) -> 2(3(2(3(3(0(0(2(2(2(1(3(2(0(2(3(2(0(z0))))))))))))))))))
   2(c_3(c_1(c_0(c_1(c_0(c_1(c_2(c_1(c_0(c_3(c_1(c_0(c_3(c_1(c_2(c_2(c_3(z0)))))))))))))))))) -> 2(1(2(1(1(0(1(0(2(3(0(0(3(3(3(1(1(2(z0))))))))))))))))))
   2(c_1(c_0(c_1(c_1(c_3(c_3(c_0(c_1(c_0(c_1(c_2(c_3(c_3(c_0(c_3(c_2(c_2(z0)))))))))))))))))) -> 0(3(3(1(3(3(0(2(1(1(3(1(0(2(1(2(0(2(z0))))))))))))))))))
   2(c_3(c_1(c_1(c_0(c_3(c_1(c_2(c_1(c_0(c_1(c_3(c_2(c_0(c_1(c_2(c_1(c_1(z0)))))))))))))))))) -> 2(3(2(0(1(1(1(3(2(1(1(3(0(0(1(1(2(1(z0))))))))))))))))))
   2(c_1(c_2(c_2(c_2(c_1(c_3(c_2(c_0(c_0(c_2(c_3(c_2(c_3(c_3(c_3(c_0(c_3(z0)))))))))))))))))) -> 2(3(3(1(3(2(0(3(2(1(3(0(2(2(2(2(3(0(z0))))))))))))))))))
   2(c_2(c_1(c_2(c_3(c_2(c_0(c_2(c_0(c_3(c_1(c_0(c_1(c_1(c_0(c_1(c_3(c_3(z0)))))))))))))))))) -> 2(2(0(1(2(0(1(2(3(1(0(2(0(1(3(1(3(3(z0))))))))))))))))))
   2(c_1(c_1(c_1(c_0(c_2(c_2(c_2(c_1(c_0(c_2(c_0(c_0(c_2(c_2(c_2(c_2(c_1(z0)))))))))))))))))) -> 2(2(2(2(1(1(2(0(1(0(0(0(2(1(2(2(2(1(z0))))))))))))))))))
   2(c_3(c_2(c_2(c_2(c_3(c_0(c_3(c_1(c_0(c_3(c_2(c_1(c_1(c_2(c_0(c_2(c_3(z0)))))))))))))))))) -> 2(2(1(1(0(1(2(3(3(0(3(3(2(2(2(0(2(3(z0))))))))))))))))))
   2(c_2(c_3(c_1(c_2(c_3(c_0(c_3(c_1(c_1(c_1(c_0(c_1(c_1(c_0(c_1(c_3(c_1(z0)))))))))))))))))) -> 2(3(1(1(2(0(1(3(1(1(0(1(1(3(1(3(0(2(z0))))))))))))))))))
   2(c_2(c_0(c_3(c_1(c_2(c_0(c_3(c_1(c_2(c_1(c_3(c_0(c_1(c_0(c_3(c_0(c_0(z0)))))))))))))))))) -> 2(3(2(2(1(3(0(3(0(1(3(0(0(0(1(1(2(0(z0))))))))))))))))))
   2(c_2(c_3(c_3(c_1(c_3(c_1(c_1(c_0(c_1(c_2(c_2(c_0(c_3(c_2(c_0(c_3(c_3(z0)))))))))))))))))) -> 2(2(3(1(3(2(1(3(3(1(0(0(2(3(3(1(0(2(z0))))))))))))))))))
   2(c_1(c_3(c_3(c_3(c_1(c_2(c_1(c_2(c_1(c_0(c_0(c_3(c_1(c_3(c_2(c_0(c_0(z0)))))))))))))))))) -> 2(1(3(0(1(3(1(0(2(2(0(0(1(3(1(3(2(3(z0))))))))))))))))))
   2(c_2(c_1(c_0(c_1(c_2(c_0(c_0(c_3(c_0(c_2(c_1(c_1(c_2(c_1(c_2(c_1(c_2(z0)))))))))))))))))) -> 2(2(1(0(3(2(1(1(1(0(0(2(0(1(2(2(1(2(z0))))))))))))))))))
   2(c_3(c_3(c_2(c_3(c_1(c_0(c_1(c_1(c_1(c_3(c_1(c_0(c_1(c_0(c_3(c_2(c_0(z0)))))))))))))))))) -> 2(1(0(0(1(2(3(1(1(3(3(3(1(1(3(2(0(0(z0))))))))))))))))))
   2(c_0(c_1(c_0(c_2(c_2(c_2(c_2(c_0(c_3(c_2(c_3(c_1(c_2(c_3(c_0(c_3(c_2(z0)))))))))))))))))) -> 2(0(2(0(2(2(3(0(3(3(1(3(0(1(2(2(2(2(z0))))))))))))))))))
   2(c_1(c_2(c_3(c_3(c_3(c_0(c_2(c_0(c_0(c_2(c_2(c_1(c_0(c_2(c_0(c_2(c_0(z0)))))))))))))))))) -> 0(3(0(2(2(2(1(3(0(0(1(3(0(0(2(2(2(2(z0))))))))))))))))))
   2(c_2(c_0(c_0(c_2(c_1(c_1(c_2(c_1(c_2(c_0(c_1(c_2(c_2(c_2(c_2(c_2(c_2(z0)))))))))))))))))) -> 2(2(2(2(1(1(0(2(1(1(2(2(0(2(0(2(2(2(z0))))))))))))))))))
   2(c_2(c_1(c_1(c_3(c_1(c_0(c_0(c_1(c_2(c_3(c_2(c_3(c_1(c_0(c_1(c_1(c_0(z0)))))))))))))))))) -> 0(1(2(2(3(1(0(2(1(3(2(1(1(3(0(1(1(0(z0))))))))))))))))))
   2(c_3(c_1(c_0(c_2(c_3(c_1(c_0(c_0(c_1(c_0(c_1(c_0(c_1(c_2(c_2(c_1(c_0(z0)))))))))))))))))) -> 2(0(3(1(0(1(0(1(2(0(2(2(1(3(0(0(1(1(z0))))))))))))))))))
   2(c_0(c_0(c_3(c_1(c_2(c_3(c_2(c_0(c_2(c_3(c_0(c_1(c_2(c_2(c_0(c_0(c_2(z0)))))))))))))))))) -> 2(0(2(3(1(3(0(0(3(2(0(1(0(2(0(2(2(2(z0))))))))))))))))))
   2(c_2(c_1(c_1(c_2(c_3(c_1(c_2(c_1(c_3(c_1(c_0(c_2(c_2(c_0(c_3(c_1(c_1(z0)))))))))))))))))) -> 2(2(1(2(3(1(1(3(1(2(2(1(0(0(2(1(3(1(z0))))))))))))))))))
   3(z0) -> c_3(z0)
   3(c_1(c_0(c_0(c_3(c_0(c_3(c_2(c_3(c_2(c_3(c_0(c_1(c_0(c_1(c_1(c_2(c_3(z0)))))))))))))))))) -> 3(0(1(3(2(3(3(1(1(0(2(0(0(3(1(3(0(2(z0))))))))))))))))))
   3(c_0(c_3(c_1(c_0(c_1(c_0(c_3(c_3(c_1(c_0(c_3(c_2(c_3(c_3(c_2(c_0(c_3(z0)))))))))))))))))) -> 1(3(0(2(0(0(3(3(2(1(3(0(3(3(1(3(3(0(z0))))))))))))))))))
   3(c_0(c_1(c_0(c_1(c_2(c_3(c_3(c_1(c_2(c_3(c_2(c_1(c_1(c_1(c_3(c_3(c_0(z0)))))))))))))))))) -> 3(0(1(2(1(3(3(1(3(0(1(3(1(2(0(1(3(2(z0))))))))))))))))))
   3(c_1(c_2(c_3(c_2(c_0(c_2(c_3(c_1(c_1(c_1(c_3(c_3(c_2(c_0(c_0(c_0(c_3(z0)))))))))))))))))) -> 3(1(3(2(1(3(0(2(1(0(0(2(3(1(2(3(3(0(z0))))))))))))))))))
   3(c_2(c_3(c_2(c_2(c_0(c_3(c_3(c_2(c_0(c_1(c_0(c_0(c_2(c_0(c_1(c_1(c_1(z0)))))))))))))))))) -> 3(0(1(3(2(0(3(0(1(2(3(0(2(0(2(2(1(1(z0))))))))))))))))))
   3(c_3(c_1(c_2(c_2(c_2(c_3(c_3(c_3(c_1(c_3(c_0(c_1(c_1(c_1(c_2(c_1(c_0(z0)))))))))))))))))) -> 3(3(3(1(2(3(1(3(0(2(2(1(3(0(2(1(1(1(z0))))))))))))))))))
   3(c_1(c_1(c_0(c_3(c_0(c_1(c_1(c_3(c_2(c_1(c_2(c_3(c_3(c_1(c_3(c_3(c_1(z0)))))))))))))))))) -> 3(1(3(2(1(1(1(3(3(0(3(2(1(3(0(1(3(1(z0))))))))))))))))))
   3(c_3(c_0(c_1(c_0(c_3(c_2(c_0(c_1(c_1(c_1(c_1(c_3(c_1(c_2(c_3(c_3(c_3(z0)))))))))))))))))) -> 3(2(3(1(1(1(0(3(3(0(2(1(3(0(1(3(1(3(z0))))))))))))))))))
   3(c_3(c_1(c_0(c_3(c_2(c_3(c_0(c_3(c_1(c_0(c_2(c_0(c_3(c_0(c_2(c_2(c_0(z0)))))))))))))))))) -> 3(3(3(2(0(3(0(3(0(1(0(0(1(3(0(2(2(2(z0))))))))))))))))))
   3(c_1(c_2(c_0(c_3(c_2(c_2(c_3(c_2(c_0(c_3(c_3(c_2(c_3(c_3(c_1(c_1(c_3(z0)))))))))))))))))) -> 3(2(2(3(1(3(3(2(1(3(3(0(2(0(2(3(1(3(z0))))))))))))))))))
   3(c_2(c_0(c_1(c_2(c_1(c_0(c_3(c_3(c_3(c_3(c_1(c_2(c_1(c_1(c_0(c_1(c_0(z0)))))))))))))))))) -> 3(0(0(2(1(3(2(3(3(1(1(3(1(1(0(2(0(1(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_2(z0) -> c5(2'(encArg(z0)), ENCARG(z0))
   ENCODE_1(z0) -> c6(1'(encArg(z0)), ENCARG(z0))
   ENCODE_3(z0) -> c7(3'(encArg(z0)), ENCARG(z0))
   0'(z0) -> c8
   0'(c_2(c_3(c_0(c_1(c_2(c_3(c_2(c_0(c_3(c_1(c_0(c_0(c_0(c_3(c_3(c_0(c_3(z0)))))))))))))))))) -> c9(0'(2(1(3(0(0(3(3(0(1(0(2(2(3(3(0(0(3(z0)))))))))))))))))), 2'(1(3(0(0(3(3(0(1(0(2(2(3(3(0(0(3(z0))))))))))))))))), 1'(3(0(0(3(3(0(1(0(2(2(3(3(0(0(3(z0)))))))))))))))), 3'(0(0(3(3(0(1(0(2(2(3(3(0(0(3(z0))))))))))))))), 0'(0(3(3(0(1(0(2(2(3(3(0(0(3(z0)))))))))))))), 0'(3(3(0(1(0(2(2(3(3(0(0(3(z0))))))))))))), 3'(3(0(1(0(2(2(3(3(0(0(3(z0)))))))))))), 3'(0(1(0(2(2(3(3(0(0(3(z0))))))))))), 0'(1(0(2(2(3(3(0(0(3(z0)))))))))), 1'(0(2(2(3(3(0(0(3(z0))))))))), 0'(2(2(3(3(0(0(3(z0)))))))), 2'(2(3(3(0(0(3(z0))))))), 2'(3(3(0(0(3(z0)))))), 3'(3(0(0(3(z0))))), 3'(0(0(3(z0)))), 0'(0(3(z0))), 0'(3(z0)), 3'(z0))
   0'(c_1(c_0(c_2(c_1(c_1(c_0(c_0(c_1(c_0(c_3(c_1(c_1(c_0(c_2(c_1(c_2(c_3(z0)))))))))))))))))) -> c10(0'(1(2(0(0(2(1(1(0(1(1(1(0(1(3(0(2(3(z0)))))))))))))))))), 1'(2(0(0(2(1(1(0(1(1(1(0(1(3(0(2(3(z0))))))))))))))))), 2'(0(0(2(1(1(0(1(1(1(0(1(3(0(2(3(z0)))))))))))))))), 0'(0(2(1(1(0(1(1(1(0(1(3(0(2(3(z0))))))))))))))), 0'(2(1(1(0(1(1(1(0(1(3(0(2(3(z0)))))))))))))), 2'(1(1(0(1(1(1(0(1(3(0(2(3(z0))))))))))))), 1'(1(0(1(1(1(0(1(3(0(2(3(z0)))))))))))), 1'(0(1(1(1(0(1(3(0(2(3(z0))))))))))), 0'(1(1(1(0(1(3(0(2(3(z0)))))))))), 1'(1(1(0(1(3(0(2(3(z0))))))))), 1'(1(0(1(3(0(2(3(z0)))))))), 1'(0(1(3(0(2(3(z0))))))), 0'(1(3(0(2(3(z0)))))), 1'(3(0(2(3(z0))))), 3'(0(2(3(z0)))), 0'(2(3(z0))), 2'(3(z0)), 3'(z0))
   0'(c_1(c_0(c_3(c_2(c_0(c_0(c_0(c_3(c_3(c_0(c_2(c_2(c_2(c_2(c_1(c_1(c_1(z0)))))))))))))))))) -> c11(0'(0(1(1(3(0(3(0(0(2(2(2(0(2(2(1(3(1(z0)))))))))))))))))), 0'(1(1(3(0(3(0(0(2(2(2(0(2(2(1(3(1(z0))))))))))))))))), 1'(1(3(0(3(0(0(2(2(2(0(2(2(1(3(1(z0)))))))))))))))), 1'(3(0(3(0(0(2(2(2(0(2(2(1(3(1(z0))))))))))))))), 3'(0(3(0(0(2(2(2(0(2(2(1(3(1(z0)))))))))))))), 0'(3(0(0(2(2(2(0(2(2(1(3(1(z0))))))))))))), 3'(0(0(2(2(2(0(2(2(1(3(1(z0)))))))))))), 0'(0(2(2(2(0(2(2(1(3(1(z0))))))))))), 0'(2(2(2(0(2(2(1(3(1(z0)))))))))), 2'(2(2(0(2(2(1(3(1(z0))))))))), 2'(2(0(2(2(1(3(1(z0)))))))), 2'(0(2(2(1(3(1(z0))))))), 0'(2(2(1(3(1(z0)))))), 2'(2(1(3(1(z0))))), 2'(1(3(1(z0)))), 1'(3(1(z0))), 3'(1(z0)), 1'(z0))
   0'(c_0(c_3(c_1(c_0(c_2(c_2(c_0(c_2(c_3(c_1(c_1(c_0(c_1(c_2(c_2(c_0(c_1(z0)))))))))))))))))) -> c12(0'(2(1(1(3(0(0(0(1(0(2(3(1(2(2(0(2(1(z0)))))))))))))))))), 2'(1(1(3(0(0(0(1(0(2(3(1(2(2(0(2(1(z0))))))))))))))))), 1'(1(3(0(0(0(1(0(2(3(1(2(2(0(2(1(z0)))))))))))))))), 1'(3(0(0(0(1(0(2(3(1(2(2(0(2(1(z0))))))))))))))), 3'(0(0(0(1(0(2(3(1(2(2(0(2(1(z0)))))))))))))), 0'(0(0(1(0(2(3(1(2(2(0(2(1(z0))))))))))))), 0'(0(1(0(2(3(1(2(2(0(2(1(z0)))))))))))), 0'(1(0(2(3(1(2(2(0(2(1(z0))))))))))), 1'(0(2(3(1(2(2(0(2(1(z0)))))))))), 0'(2(3(1(2(2(0(2(1(z0))))))))), 2'(3(1(2(2(0(2(1(z0)))))))), 3'(1(2(2(0(2(1(z0))))))), 1'(2(2(0(2(1(z0)))))), 2'(2(0(2(1(z0))))), 2'(0(2(1(z0)))), 0'(2(1(z0))), 2'(1(z0)), 1'(z0))
   0'(c_3(c_2(c_0(c_3(c_1(c_0(c_1(c_0(c_3(c_0(c_3(c_0(c_0(c_3(c_0(c_0(c_0(z0)))))))))))))))))) -> c13(0'(3(0(0(0(0(1(2(0(3(3(0(0(3(0(1(3(0(z0)))))))))))))))))), 3'(0(0(0(0(1(2(0(3(3(0(0(3(0(1(3(0(z0))))))))))))))))), 0'(0(0(0(1(2(0(3(3(0(0(3(0(1(3(0(z0)))))))))))))))), 0'(0(0(1(2(0(3(3(0(0(3(0(1(3(0(z0))))))))))))))), 0'(0(1(2(0(3(3(0(0(3(0(1(3(0(z0)))))))))))))), 0'(1(2(0(3(3(0(0(3(0(1(3(0(z0))))))))))))), 1'(2(0(3(3(0(0(3(0(1(3(0(z0)))))))))))), 2'(0(3(3(0(0(3(0(1(3(0(z0))))))))))), 0'(3(3(0(0(3(0(1(3(0(z0)))))))))), 3'(3(0(0(3(0(1(3(0(z0))))))))), 3'(0(0(3(0(1(3(0(z0)))))))), 0'(0(3(0(1(3(0(z0))))))), 0'(3(0(1(3(0(z0)))))), 3'(0(1(3(0(z0))))), 0'(1(3(0(z0)))), 1'(3(0(z0))), 3'(0(z0)), 0'(z0))
   0'(c_1(c_2(c_3(c_2(c_1(c_0(c_1(c_2(c_2(c_0(c_0(c_1(c_0(c_3(c_1(c_0(c_1(z0)))))))))))))))))) -> c14(0'(2(1(1(1(0(2(2(0(0(1(1(0(3(0(1(3(2(z0)))))))))))))))))), 2'(1(1(1(0(2(2(0(0(1(1(0(3(0(1(3(2(z0))))))))))))))))), 1'(1(1(0(2(2(0(0(1(1(0(3(0(1(3(2(z0)))))))))))))))), 1'(1(0(2(2(0(0(1(1(0(3(0(1(3(2(z0))))))))))))))), 1'(0(2(2(0(0(1(1(0(3(0(1(3(2(z0)))))))))))))), 0'(2(2(0(0(1(1(0(3(0(1(3(2(z0))))))))))))), 2'(2(0(0(1(1(0(3(0(1(3(2(z0)))))))))))), 2'(0(0(1(1(0(3(0(1(3(2(z0))))))))))), 0'(0(1(1(0(3(0(1(3(2(z0)))))))))), 0'(1(1(0(3(0(1(3(2(z0))))))))), 1'(1(0(3(0(1(3(2(z0)))))))), 1'(0(3(0(1(3(2(z0))))))), 0'(3(0(1(3(2(z0)))))), 3'(0(1(3(2(z0))))), 0'(1(3(2(z0)))), 1'(3(2(z0))), 3'(2(z0)), 2'(z0))
   0'(c_2(c_1(c_0(c_3(c_0(c_3(c_0(c_3(c_2(c_0(c_1(c_0(c_1(c_2(c_2(c_1(c_1(z0)))))))))))))))))) -> c15(0'(2(3(0(3(2(2(1(2(1(1(0(0(3(0(0(1(1(z0)))))))))))))))))), 2'(3(0(3(2(2(1(2(1(1(0(0(3(0(0(1(1(z0))))))))))))))))), 3'(0(3(2(2(1(2(1(1(0(0(3(0(0(1(1(z0)))))))))))))))), 0'(3(2(2(1(2(1(1(0(0(3(0(0(1(1(z0))))))))))))))), 3'(2(2(1(2(1(1(0(0(3(0(0(1(1(z0)))))))))))))), 2'(2(1(2(1(1(0(0(3(0(0(1(1(z0))))))))))))), 2'(1(2(1(1(0(0(3(0(0(1(1(z0)))))))))))), 1'(2(1(1(0(0(3(0(0(1(1(z0))))))))))), 2'(1(1(0(0(3(0(0(1(1(z0)))))))))), 1'(1(0(0(3(0(0(1(1(z0))))))))), 1'(0(0(3(0(0(1(1(z0)))))))), 0'(0(3(0(0(1(1(z0))))))), 0'(3(0(0(1(1(z0)))))), 3'(0(0(1(1(z0))))), 0'(0(1(1(z0)))), 0'(1(1(z0))), 1'(1(z0)), 1'(z0))
   0'(c_0(c_2(c_2(c_1(c_3(c_2(c_2(c_2(c_1(c_0(c_2(c_2(c_0(c_2(c_2(c_0(c_0(z0)))))))))))))))))) -> c16(0'(2(2(2(2(1(3(0(0(2(1(0(2(2(2(2(0(0(z0)))))))))))))))))), 2'(2(2(2(1(3(0(0(2(1(0(2(2(2(2(0(0(z0))))))))))))))))), 2'(2(2(1(3(0(0(2(1(0(2(2(2(2(0(0(z0)))))))))))))))), 2'(2(1(3(0(0(2(1(0(2(2(2(2(0(0(z0))))))))))))))), 2'(1(3(0(0(2(1(0(2(2(2(2(0(0(z0)))))))))))))), 1'(3(0(0(2(1(0(2(2(2(2(0(0(z0))))))))))))), 3'(0(0(2(1(0(2(2(2(2(0(0(z0)))))))))))), 0'(0(2(1(0(2(2(2(2(0(0(z0))))))))))), 0'(2(1(0(2(2(2(2(0(0(z0)))))))))), 2'(1(0(2(2(2(2(0(0(z0))))))))), 1'(0(2(2(2(2(0(0(z0)))))))), 0'(2(2(2(2(0(0(z0))))))), 2'(2(2(2(0(0(z0)))))), 2'(2(2(0(0(z0))))), 2'(2(0(0(z0)))), 2'(0(0(z0))), 0'(0(z0)), 0'(z0))
   0'(c_3(c_1(c_1(c_2(c_3(c_0(c_3(c_0(c_1(c_0(c_1(c_2(c_2(c_1(c_0(c_2(c_2(z0)))))))))))))))))) -> c17(0'(0(1(3(0(0(2(2(2(3(2(1(1(1(1(0(3(2(z0)))))))))))))))))), 0'(1(3(0(0(2(2(2(3(2(1(1(1(1(0(3(2(z0))))))))))))))))), 1'(3(0(0(2(2(2(3(2(1(1(1(1(0(3(2(z0)))))))))))))))), 3'(0(0(2(2(2(3(2(1(1(1(1(0(3(2(z0))))))))))))))), 0'(0(2(2(2(3(2(1(1(1(1(0(3(2(z0)))))))))))))), 0'(2(2(2(3(2(1(1(1(1(0(3(2(z0))))))))))))), 2'(2(2(3(2(1(1(1(1(0(3(2(z0)))))))))))), 2'(2(3(2(1(1(1(1(0(3(2(z0))))))))))), 2'(3(2(1(1(1(1(0(3(2(z0)))))))))), 3'(2(1(1(1(1(0(3(2(z0))))))))), 2'(1(1(1(1(0(3(2(z0)))))))), 1'(1(1(1(0(3(2(z0))))))), 1'(1(1(0(3(2(z0)))))), 1'(1(0(3(2(z0))))), 1'(0(3(2(z0)))), 0'(3(2(z0))), 3'(2(z0)), 2'(z0))
   0'(c_1(c_1(c_1(c_1(c_3(c_1(c_1(c_0(c_1(c_3(c_1(c_0(c_2(c_3(c_3(c_3(c_2(z0)))))))))))))))))) -> c18(0'(2(0(1(3(1(1(3(1(0(1(3(2(1(3(1(1(3(z0)))))))))))))))))), 2'(0(1(3(1(1(3(1(0(1(3(2(1(3(1(1(3(z0))))))))))))))))), 0'(1(3(1(1(3(1(0(1(3(2(1(3(1(1(3(z0)))))))))))))))), 1'(3(1(1(3(1(0(1(3(2(1(3(1(1(3(z0))))))))))))))), 3'(1(1(3(1(0(1(3(2(1(3(1(1(3(z0)))))))))))))), 1'(1(3(1(0(1(3(2(1(3(1(1(3(z0))))))))))))), 1'(3(1(0(1(3(2(1(3(1(1(3(z0)))))))))))), 3'(1(0(1(3(2(1(3(1(1(3(z0))))))))))), 1'(0(1(3(2(1(3(1(1(3(z0)))))))))), 0'(1(3(2(1(3(1(1(3(z0))))))))), 1'(3(2(1(3(1(1(3(z0)))))))), 3'(2(1(3(1(1(3(z0))))))), 2'(1(3(1(1(3(z0)))))), 1'(3(1(1(3(z0))))), 3'(1(1(3(z0)))), 1'(1(3(z0))), 1'(3(z0)), 3'(z0))
   0'(c_3(c_0(c_1(c_0(c_3(c_0(c_1(c_1(c_1(c_2(c_0(c_0(c_0(c_3(c_2(c_1(c_0(z0)))))))))))))))))) -> c19(0'(0(2(2(1(3(0(0(1(3(0(1(0(1(0(0(1(3(z0)))))))))))))))))), 0'(2(2(1(3(0(0(1(3(0(1(0(1(0(0(1(3(z0))))))))))))))))), 2'(2(1(3(0(0(1(3(0(1(0(1(0(0(1(3(z0)))))))))))))))), 2'(1(3(0(0(1(3(0(1(0(1(0(0(1(3(z0))))))))))))))), 1'(3(0(0(1(3(0(1(0(1(0(0(1(3(z0)))))))))))))), 3'(0(0(1(3(0(1(0(1(0(0(1(3(z0))))))))))))), 0'(0(1(3(0(1(0(1(0(0(1(3(z0)))))))))))), 0'(1(3(0(1(0(1(0(0(1(3(z0))))))))))), 1'(3(0(1(0(1(0(0(1(3(z0)))))))))), 3'(0(1(0(1(0(0(1(3(z0))))))))), 0'(1(0(1(0(0(1(3(z0)))))))), 1'(0(1(0(0(1(3(z0))))))), 0'(1(0(0(1(3(z0)))))), 1'(0(0(1(3(z0))))), 0'(0(1(3(z0)))), 0'(1(3(z0))), 1'(3(z0)), 3'(z0))
   1'(z0) -> c20
   1'(c_0(c_1(c_0(c_2(c_0(c_2(c_3(c_1(c_1(c_2(c_2(c_0(c_0(c_3(c_0(c_3(c_2(z0)))))))))))))))))) -> c21(0'(0(0(1(1(3(1(3(2(0(0(2(2(1(3(0(2(2(z0)))))))))))))))))), 0'(0(1(1(3(1(3(2(0(0(2(2(1(3(0(2(2(z0))))))))))))))))), 0'(1(1(3(1(3(2(0(0(2(2(1(3(0(2(2(z0)))))))))))))))), 1'(1(3(1(3(2(0(0(2(2(1(3(0(2(2(z0))))))))))))))), 1'(3(1(3(2(0(0(2(2(1(3(0(2(2(z0)))))))))))))), 3'(1(3(2(0(0(2(2(1(3(0(2(2(z0))))))))))))), 1'(3(2(0(0(2(2(1(3(0(2(2(z0)))))))))))), 3'(2(0(0(2(2(1(3(0(2(2(z0))))))))))), 2'(0(0(2(2(1(3(0(2(2(z0)))))))))), 0'(0(2(2(1(3(0(2(2(z0))))))))), 0'(2(2(1(3(0(2(2(z0)))))))), 2'(2(1(3(0(2(2(z0))))))), 2'(1(3(0(2(2(z0)))))), 1'(3(0(2(2(z0))))), 3'(0(2(2(z0)))), 0'(2(2(z0))), 2'(2(z0)), 2'(z0))
   1'(c_2(c_0(c_0(c_2(c_1(c_3(c_2(c_2(c_3(c_2(c_2(c_0(c_3(c_2(c_3(c_2(c_2(z0)))))))))))))))))) -> c22(1'(2(0(3(2(2(2(2(3(0(0(2(2(2(3(1(3(2(z0)))))))))))))))))), 2'(0(3(2(2(2(2(3(0(0(2(2(2(3(1(3(2(z0))))))))))))))))), 0'(3(2(2(2(2(3(0(0(2(2(2(3(1(3(2(z0)))))))))))))))), 3'(2(2(2(2(3(0(0(2(2(2(3(1(3(2(z0))))))))))))))), 2'(2(2(2(3(0(0(2(2(2(3(1(3(2(z0)))))))))))))), 2'(2(2(3(0(0(2(2(2(3(1(3(2(z0))))))))))))), 2'(2(3(0(0(2(2(2(3(1(3(2(z0)))))))))))), 2'(3(0(0(2(2(2(3(1(3(2(z0))))))))))), 3'(0(0(2(2(2(3(1(3(2(z0)))))))))), 0'(0(2(2(2(3(1(3(2(z0))))))))), 0'(2(2(2(3(1(3(2(z0)))))))), 2'(2(2(3(1(3(2(z0))))))), 2'(2(3(1(3(2(z0)))))), 2'(3(1(3(2(z0))))), 3'(1(3(2(z0)))), 1'(3(2(z0))), 3'(2(z0)), 2'(z0))
   1'(c_0(c_2(c_3(c_3(c_3(c_1(c_0(c_2(c_0(c_1(c_2(c_2(c_3(c_2(c_1(c_0(c_1(z0)))))))))))))))))) -> c23(2'(3(2(1(0(1(3(1(3(0(2(3(0(2(0(1(2(1(z0)))))))))))))))))), 3'(2(1(0(1(3(1(3(0(2(3(0(2(0(1(2(1(z0))))))))))))))))), 2'(1(0(1(3(1(3(0(2(3(0(2(0(1(2(1(z0)))))))))))))))), 1'(0(1(3(1(3(0(2(3(0(2(0(1(2(1(z0))))))))))))))), 0'(1(3(1(3(0(2(3(0(2(0(1(2(1(z0)))))))))))))), 1'(3(1(3(0(2(3(0(2(0(1(2(1(z0))))))))))))), 3'(1(3(0(2(3(0(2(0(1(2(1(z0)))))))))))), 1'(3(0(2(3(0(2(0(1(2(1(z0))))))))))), 3'(0(2(3(0(2(0(1(2(1(z0)))))))))), 0'(2(3(0(2(0(1(2(1(z0))))))))), 2'(3(0(2(0(1(2(1(z0)))))))), 3'(0(2(0(1(2(1(z0))))))), 0'(2(0(1(2(1(z0)))))), 2'(0(1(2(1(z0))))), 0'(1(2(1(z0)))), 1'(2(1(z0))), 2'(1(z0)), 1'(z0))
   1'(c_1(c_1(c_2(c_1(c_1(c_1(c_2(c_1(c_3(c_1(c_0(c_1(c_2(c_1(c_2(c_3(c_1(z0)))))))))))))))))) -> c24(1'(1(1(1(1(1(3(0(2(2(1(1(1(2(3(1(2(1(z0)))))))))))))))))), 1'(1(1(1(1(3(0(2(2(1(1(1(2(3(1(2(1(z0))))))))))))))))), 1'(1(1(1(3(0(2(2(1(1(1(2(3(1(2(1(z0)))))))))))))))), 1'(1(1(3(0(2(2(1(1(1(2(3(1(2(1(z0))))))))))))))), 1'(1(3(0(2(2(1(1(1(2(3(1(2(1(z0)))))))))))))), 1'(3(0(2(2(1(1(1(2(3(1(2(1(z0))))))))))))), 3'(0(2(2(1(1(1(2(3(1(2(1(z0)))))))))))), 0'(2(2(1(1(1(2(3(1(2(1(z0))))))))))), 2'(2(1(1(1(2(3(1(2(1(z0)))))))))), 2'(1(1(1(2(3(1(2(1(z0))))))))), 1'(1(1(2(3(1(2(1(z0)))))))), 1'(1(2(3(1(2(1(z0))))))), 1'(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))
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   2'(z0) -> c52
   2'(c_2(c_2(c_2(c_1(c_1(c_0(c_1(c_1(c_2(c_2(c_0(c_0(c_1(c_2(c_2(c_1(c_1(z0)))))))))))))))))) -> c53(0'(2(1(2(0(2(0(2(2(1(2(2(2(1(1(1(1(1(z0)))))))))))))))))), 2'(1(2(0(2(0(2(2(1(2(2(2(1(1(1(1(1(z0))))))))))))))))), 1'(2(0(2(0(2(2(1(2(2(2(1(1(1(1(1(z0)))))))))))))))), 2'(0(2(0(2(2(1(2(2(2(1(1(1(1(1(z0))))))))))))))), 0'(2(0(2(2(1(2(2(2(1(1(1(1(1(z0)))))))))))))), 2'(0(2(2(1(2(2(2(1(1(1(1(1(z0))))))))))))), 0'(2(2(1(2(2(2(1(1(1(1(1(z0)))))))))))), 2'(2(1(2(2(2(1(1(1(1(1(z0))))))))))), 2'(1(2(2(2(1(1(1(1(1(z0)))))))))), 1'(2(2(2(1(1(1(1(1(z0))))))))), 2'(2(2(1(1(1(1(1(z0)))))))), 2'(2(1(1(1(1(1(z0))))))), 2'(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))
   2'(c_0(c_1(c_3(c_3(c_3(c_3(c_3(c_1(c_1(c_3(c_2(c_0(c_1(c_0(c_0(c_1(c_0(z0)))))))))))))))))) -> c54(1'(3(0(2(1(1(3(0(2(3(0(0(3(1(3(3(1(0(z0)))))))))))))))))), 3'(0(2(1(1(3(0(2(3(0(0(3(1(3(3(1(0(z0))))))))))))))))), 0'(2(1(1(3(0(2(3(0(0(3(1(3(3(1(0(z0)))))))))))))))), 2'(1(1(3(0(2(3(0(0(3(1(3(3(1(0(z0))))))))))))))), 1'(1(3(0(2(3(0(0(3(1(3(3(1(0(z0)))))))))))))), 1'(3(0(2(3(0(0(3(1(3(3(1(0(z0))))))))))))), 3'(0(2(3(0(0(3(1(3(3(1(0(z0)))))))))))), 0'(2(3(0(0(3(1(3(3(1(0(z0))))))))))), 2'(3(0(0(3(1(3(3(1(0(z0)))))))))), 3'(0(0(3(1(3(3(1(0(z0))))))))), 0'(0(3(1(3(3(1(0(z0)))))))), 0'(3(1(3(3(1(0(z0))))))), 3'(1(3(3(1(0(z0)))))), 1'(3(3(1(0(z0))))), 3'(3(1(0(z0)))), 3'(1(0(z0))), 1'(0(z0)), 0'(z0))
   2'(c_3(c_2(c_1(c_0(c_0(c_0(c_2(c_3(c_2(c_3(c_0(c_3(c_0(c_2(c_1(c_1(c_2(z0)))))))))))))))))) -> c55(2'(2(3(0(3(0(2(1(0(2(2(0(1(3(1(3(0(2(z0)))))))))))))))))), 2'(3(0(3(0(2(1(0(2(2(0(1(3(1(3(0(2(z0))))))))))))))))), 3'(0(3(0(2(1(0(2(2(0(1(3(1(3(0(2(z0)))))))))))))))), 0'(3(0(2(1(0(2(2(0(1(3(1(3(0(2(z0))))))))))))))), 3'(0(2(1(0(2(2(0(1(3(1(3(0(2(z0)))))))))))))), 0'(2(1(0(2(2(0(1(3(1(3(0(2(z0))))))))))))), 2'(1(0(2(2(0(1(3(1(3(0(2(z0)))))))))))), 1'(0(2(2(0(1(3(1(3(0(2(z0))))))))))), 0'(2(2(0(1(3(1(3(0(2(z0)))))))))), 2'(2(0(1(3(1(3(0(2(z0))))))))), 2'(0(1(3(1(3(0(2(z0)))))))), 0'(1(3(1(3(0(2(z0))))))), 1'(3(1(3(0(2(z0)))))), 3'(1(3(0(2(z0))))), 1'(3(0(2(z0)))), 3'(0(2(z0))), 0'(2(z0)), 2'(z0))
   2'(c_1(c_2(c_2(c_3(c_2(c_3(c_0(c_1(c_3(c_2(c_1(c_1(c_3(c_3(c_2(c_2(c_2(z0)))))))))))))))))) -> c56(2'(1(1(1(3(2(3(2(2(3(0(2(3(2(1(3(2(2(z0)))))))))))))))))), 1'(1(1(3(2(3(2(2(3(0(2(3(2(1(3(2(2(z0))))))))))))))))), 1'(1(3(2(3(2(2(3(0(2(3(2(1(3(2(2(z0)))))))))))))))), 1'(3(2(3(2(2(3(0(2(3(2(1(3(2(2(z0))))))))))))))), 3'(2(3(2(2(3(0(2(3(2(1(3(2(2(z0)))))))))))))), 2'(3(2(2(3(0(2(3(2(1(3(2(2(z0))))))))))))), 3'(2(2(3(0(2(3(2(1(3(2(2(z0)))))))))))), 2'(2(3(0(2(3(2(1(3(2(2(z0))))))))))), 2'(3(0(2(3(2(1(3(2(2(z0)))))))))), 3'(0(2(3(2(1(3(2(2(z0))))))))), 0'(2(3(2(1(3(2(2(z0)))))))), 2'(3(2(1(3(2(2(z0))))))), 3'(2(1(3(2(2(z0)))))), 2'(1(3(2(2(z0))))), 1'(3(2(2(z0)))), 3'(2(2(z0))), 2'(2(z0)), 2'(z0))
   2'(c_1(c_2(c_2(c_2(c_0(c_2(c_1(c_2(c_3(c_0(c_0(c_3(c_1(c_2(c_2(c_1(c_3(z0)))))))))))))))))) -> c57(0'(2(0(2(1(3(2(2(1(3(2(2(1(3(0(2(1(2(z0)))))))))))))))))), 2'(0(2(1(3(2(2(1(3(2(2(1(3(0(2(1(2(z0))))))))))))))))), 0'(2(1(3(2(2(1(3(2(2(1(3(0(2(1(2(z0)))))))))))))))), 2'(1(3(2(2(1(3(2(2(1(3(0(2(1(2(z0))))))))))))))), 1'(3(2(2(1(3(2(2(1(3(0(2(1(2(z0)))))))))))))), 3'(2(2(1(3(2(2(1(3(0(2(1(2(z0))))))))))))), 2'(2(1(3(2(2(1(3(0(2(1(2(z0)))))))))))), 2'(1(3(2(2(1(3(0(2(1(2(z0))))))))))), 1'(3(2(2(1(3(0(2(1(2(z0)))))))))), 3'(2(2(1(3(0(2(1(2(z0))))))))), 2'(2(1(3(0(2(1(2(z0)))))))), 2'(1(3(0(2(1(2(z0))))))), 1'(3(0(2(1(2(z0)))))), 3'(0(2(1(2(z0))))), 0'(2(1(2(z0)))), 2'(1(2(z0))), 1'(2(z0)), 2'(z0))
   2'(c_0(c_3(c_0(c_3(c_2(c_3(c_2(c_1(c_0(c_1(c_2(c_2(c_0(c_0(c_0(c_1(c_2(z0)))))))))))))))))) -> c58(0'(2(2(1(2(0(1(2(0(3(0(0(2(1(3(0(3(2(z0)))))))))))))))))), 2'(2(1(2(0(1(2(0(3(0(0(2(1(3(0(3(2(z0))))))))))))))))), 2'(1(2(0(1(2(0(3(0(0(2(1(3(0(3(2(z0)))))))))))))))), 1'(2(0(1(2(0(3(0(0(2(1(3(0(3(2(z0))))))))))))))), 2'(0(1(2(0(3(0(0(2(1(3(0(3(2(z0)))))))))))))), 0'(1(2(0(3(0(0(2(1(3(0(3(2(z0))))))))))))), 1'(2(0(3(0(0(2(1(3(0(3(2(z0)))))))))))), 2'(0(3(0(0(2(1(3(0(3(2(z0))))))))))), 0'(3(0(0(2(1(3(0(3(2(z0)))))))))), 3'(0(0(2(1(3(0(3(2(z0))))))))), 0'(0(2(1(3(0(3(2(z0)))))))), 0'(2(1(3(0(3(2(z0))))))), 2'(1(3(0(3(2(z0)))))), 1'(3(0(3(2(z0))))), 3'(0(3(2(z0)))), 0'(3(2(z0))), 3'(2(z0)), 2'(z0))
   2'(c_3(c_0(c_2(c_0(c_3(c_2(c_0(c_2(c_3(c_2(c_1(c_2(c_2(c_2(c_3(c_0(c_3(z0)))))))))))))))))) -> c59(2'(3(2(3(3(0(0(2(2(2(1(3(2(0(2(3(2(0(z0)))))))))))))))))), 3'(2(3(3(0(0(2(2(2(1(3(2(0(2(3(2(0(z0))))))))))))))))), 2'(3(3(0(0(2(2(2(1(3(2(0(2(3(2(0(z0)))))))))))))))), 3'(3(0(0(2(2(2(1(3(2(0(2(3(2(0(z0))))))))))))))), 3'(0(0(2(2(2(1(3(2(0(2(3(2(0(z0)))))))))))))), 0'(0(2(2(2(1(3(2(0(2(3(2(0(z0))))))))))))), 0'(2(2(2(1(3(2(0(2(3(2(0(z0)))))))))))), 2'(2(2(1(3(2(0(2(3(2(0(z0))))))))))), 2'(2(1(3(2(0(2(3(2(0(z0)))))))))), 2'(1(3(2(0(2(3(2(0(z0))))))))), 1'(3(2(0(2(3(2(0(z0)))))))), 3'(2(0(2(3(2(0(z0))))))), 2'(0(2(3(2(0(z0)))))), 0'(2(3(2(0(z0))))), 2'(3(2(0(z0)))), 3'(2(0(z0))), 2'(0(z0)), 0'(z0))
   2'(c_3(c_1(c_0(c_1(c_0(c_1(c_2(c_1(c_0(c_3(c_1(c_0(c_3(c_1(c_2(c_2(c_3(z0)))))))))))))))))) -> c60(2'(1(2(1(1(0(1(0(2(3(0(0(3(3(3(1(1(2(z0)))))))))))))))))), 1'(2(1(1(0(1(0(2(3(0(0(3(3(3(1(1(2(z0))))))))))))))))), 2'(1(1(0(1(0(2(3(0(0(3(3(3(1(1(2(z0)))))))))))))))), 1'(1(0(1(0(2(3(0(0(3(3(3(1(1(2(z0))))))))))))))), 1'(0(1(0(2(3(0(0(3(3(3(1(1(2(z0)))))))))))))), 0'(1(0(2(3(0(0(3(3(3(1(1(2(z0))))))))))))), 1'(0(2(3(0(0(3(3(3(1(1(2(z0)))))))))))), 0'(2(3(0(0(3(3(3(1(1(2(z0))))))))))), 2'(3(0(0(3(3(3(1(1(2(z0)))))))))), 3'(0(0(3(3(3(1(1(2(z0))))))))), 0'(0(3(3(3(1(1(2(z0)))))))), 0'(3(3(3(1(1(2(z0))))))), 3'(3(3(1(1(2(z0)))))), 3'(3(1(1(2(z0))))), 3'(1(1(2(z0)))), 1'(1(2(z0))), 1'(2(z0)), 2'(z0))
   2'(c_1(c_0(c_1(c_1(c_3(c_3(c_0(c_1(c_0(c_1(c_2(c_3(c_3(c_0(c_3(c_2(c_2(z0)))))))))))))))))) -> c61(0'(3(3(1(3(3(0(2(1(1(3(1(0(2(1(2(0(2(z0)))))))))))))))))), 3'(3(1(3(3(0(2(1(1(3(1(0(2(1(2(0(2(z0))))))))))))))))), 3'(1(3(3(0(2(1(1(3(1(0(2(1(2(0(2(z0)))))))))))))))), 1'(3(3(0(2(1(1(3(1(0(2(1(2(0(2(z0))))))))))))))), 3'(3(0(2(1(1(3(1(0(2(1(2(0(2(z0)))))))))))))), 3'(0(2(1(1(3(1(0(2(1(2(0(2(z0))))))))))))), 0'(2(1(1(3(1(0(2(1(2(0(2(z0)))))))))))), 2'(1(1(3(1(0(2(1(2(0(2(z0))))))))))), 1'(1(3(1(0(2(1(2(0(2(z0)))))))))), 1'(3(1(0(2(1(2(0(2(z0))))))))), 3'(1(0(2(1(2(0(2(z0)))))))), 1'(0(2(1(2(0(2(z0))))))), 0'(2(1(2(0(2(z0)))))), 2'(1(2(0(2(z0))))), 1'(2(0(2(z0)))), 2'(0(2(z0))), 0'(2(z0)), 2'(z0))
   2'(c_3(c_1(c_1(c_0(c_3(c_1(c_2(c_1(c_0(c_1(c_3(c_2(c_0(c_1(c_2(c_1(c_1(z0)))))))))))))))))) -> c62(2'(3(2(0(1(1(1(3(2(1(1(3(0(0(1(1(2(1(z0)))))))))))))))))), 3'(2(0(1(1(1(3(2(1(1(3(0(0(1(1(2(1(z0))))))))))))))))), 2'(0(1(1(1(3(2(1(1(3(0(0(1(1(2(1(z0)))))))))))))))), 0'(1(1(1(3(2(1(1(3(0(0(1(1(2(1(z0))))))))))))))), 1'(1(1(3(2(1(1(3(0(0(1(1(2(1(z0)))))))))))))), 1'(1(3(2(1(1(3(0(0(1(1(2(1(z0))))))))))))), 1'(3(2(1(1(3(0(0(1(1(2(1(z0)))))))))))), 3'(2(1(1(3(0(0(1(1(2(1(z0))))))))))), 2'(1(1(3(0(0(1(1(2(1(z0)))))))))), 1'(1(3(0(0(1(1(2(1(z0))))))))), 1'(3(0(0(1(1(2(1(z0)))))))), 3'(0(0(1(1(2(1(z0))))))), 0'(0(1(1(2(1(z0)))))), 0'(1(1(2(1(z0))))), 1'(1(2(1(z0)))), 1'(2(1(z0))), 2'(1(z0)), 1'(z0))
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   2'(c_0(c_0(c_3(c_1(c_2(c_3(c_2(c_0(c_2(c_3(c_0(c_1(c_2(c_2(c_0(c_0(c_2(z0)))))))))))))))))) -> c78(2'(0(2(3(1(3(0(0(3(2(0(1(0(2(0(2(2(2(z0)))))))))))))))))), 0'(2(3(1(3(0(0(3(2(0(1(0(2(0(2(2(2(z0))))))))))))))))), 2'(3(1(3(0(0(3(2(0(1(0(2(0(2(2(2(z0)))))))))))))))), 3'(1(3(0(0(3(2(0(1(0(2(0(2(2(2(z0))))))))))))))), 1'(3(0(0(3(2(0(1(0(2(0(2(2(2(z0)))))))))))))), 3'(0(0(3(2(0(1(0(2(0(2(2(2(z0))))))))))))), 0'(0(3(2(0(1(0(2(0(2(2(2(z0)))))))))))), 0'(3(2(0(1(0(2(0(2(2(2(z0))))))))))), 3'(2(0(1(0(2(0(2(2(2(z0)))))))))), 2'(0(1(0(2(0(2(2(2(z0))))))))), 0'(1(0(2(0(2(2(2(z0)))))))), 1'(0(2(0(2(2(2(z0))))))), 0'(2(0(2(2(2(z0)))))), 2'(0(2(2(2(z0))))), 0'(2(2(2(z0)))), 2'(2(2(z0))), 2'(2(z0)), 2'(z0))
   2'(c_2(c_1(c_1(c_2(c_3(c_1(c_2(c_1(c_3(c_1(c_0(c_2(c_2(c_0(c_3(c_1(c_1(z0)))))))))))))))))) -> c79(2'(2(1(2(3(1(1(3(1(2(2(1(0(0(2(1(3(1(z0)))))))))))))))))), 2'(1(2(3(1(1(3(1(2(2(1(0(0(2(1(3(1(z0))))))))))))))))), 1'(2(3(1(1(3(1(2(2(1(0(0(2(1(3(1(z0)))))))))))))))), 2'(3(1(1(3(1(2(2(1(0(0(2(1(3(1(z0))))))))))))))), 3'(1(1(3(1(2(2(1(0(0(2(1(3(1(z0)))))))))))))), 1'(1(3(1(2(2(1(0(0(2(1(3(1(z0))))))))))))), 1'(3(1(2(2(1(0(0(2(1(3(1(z0)))))))))))), 3'(1(2(2(1(0(0(2(1(3(1(z0))))))))))), 1'(2(2(1(0(0(2(1(3(1(z0)))))))))), 2'(2(1(0(0(2(1(3(1(z0))))))))), 2'(1(0(0(2(1(3(1(z0)))))))), 1'(0(0(2(1(3(1(z0))))))), 0'(0(2(1(3(1(z0)))))), 0'(2(1(3(1(z0))))), 2'(1(3(1(z0)))), 1'(3(1(z0))), 3'(1(z0)), 1'(z0))
   3'(z0) -> c80
   3'(c_1(c_0(c_0(c_3(c_0(c_3(c_2(c_3(c_2(c_3(c_0(c_1(c_0(c_1(c_1(c_2(c_3(z0)))))))))))))))))) -> c81(3'(0(1(3(2(3(3(1(1(0(2(0(0(3(1(3(0(2(z0)))))))))))))))))), 0'(1(3(2(3(3(1(1(0(2(0(0(3(1(3(0(2(z0))))))))))))))))), 1'(3(2(3(3(1(1(0(2(0(0(3(1(3(0(2(z0)))))))))))))))), 3'(2(3(3(1(1(0(2(0(0(3(1(3(0(2(z0))))))))))))))), 2'(3(3(1(1(0(2(0(0(3(1(3(0(2(z0)))))))))))))), 3'(3(1(1(0(2(0(0(3(1(3(0(2(z0))))))))))))), 3'(1(1(0(2(0(0(3(1(3(0(2(z0)))))))))))), 1'(1(0(2(0(0(3(1(3(0(2(z0))))))))))), 1'(0(2(0(0(3(1(3(0(2(z0)))))))))), 0'(2(0(0(3(1(3(0(2(z0))))))))), 2'(0(0(3(1(3(0(2(z0)))))))), 0'(0(3(1(3(0(2(z0))))))), 0'(3(1(3(0(2(z0)))))), 3'(1(3(0(2(z0))))), 1'(3(0(2(z0)))), 3'(0(2(z0))), 0'(2(z0)), 2'(z0))
   3'(c_0(c_3(c_1(c_0(c_1(c_0(c_3(c_3(c_1(c_0(c_3(c_2(c_3(c_3(c_2(c_0(c_3(z0)))))))))))))))))) -> c82(1'(3(0(2(0(0(3(3(2(1(3(0(3(3(1(3(3(0(z0)))))))))))))))))), 3'(0(2(0(0(3(3(2(1(3(0(3(3(1(3(3(0(z0))))))))))))))))), 0'(2(0(0(3(3(2(1(3(0(3(3(1(3(3(0(z0)))))))))))))))), 2'(0(0(3(3(2(1(3(0(3(3(1(3(3(0(z0))))))))))))))), 0'(0(3(3(2(1(3(0(3(3(1(3(3(0(z0)))))))))))))), 0'(3(3(2(1(3(0(3(3(1(3(3(0(z0))))))))))))), 3'(3(2(1(3(0(3(3(1(3(3(0(z0)))))))))))), 3'(2(1(3(0(3(3(1(3(3(0(z0))))))))))), 2'(1(3(0(3(3(1(3(3(0(z0)))))))))), 1'(3(0(3(3(1(3(3(0(z0))))))))), 3'(0(3(3(1(3(3(0(z0)))))))), 0'(3(3(1(3(3(0(z0))))))), 3'(3(1(3(3(0(z0)))))), 3'(1(3(3(0(z0))))), 1'(3(3(0(z0)))), 3'(3(0(z0))), 3'(0(z0)), 0'(z0))
   3'(c_0(c_1(c_0(c_1(c_2(c_3(c_3(c_1(c_2(c_3(c_2(c_1(c_1(c_1(c_3(c_3(c_0(z0)))))))))))))))))) -> c83(3'(0(1(2(1(3(3(1(3(0(1(3(1(2(0(1(3(2(z0)))))))))))))))))), 0'(1(2(1(3(3(1(3(0(1(3(1(2(0(1(3(2(z0))))))))))))))))), 1'(2(1(3(3(1(3(0(1(3(1(2(0(1(3(2(z0)))))))))))))))), 2'(1(3(3(1(3(0(1(3(1(2(0(1(3(2(z0))))))))))))))), 1'(3(3(1(3(0(1(3(1(2(0(1(3(2(z0)))))))))))))), 3'(3(1(3(0(1(3(1(2(0(1(3(2(z0))))))))))))), 3'(1(3(0(1(3(1(2(0(1(3(2(z0)))))))))))), 1'(3(0(1(3(1(2(0(1(3(2(z0))))))))))), 3'(0(1(3(1(2(0(1(3(2(z0)))))))))), 0'(1(3(1(2(0(1(3(2(z0))))))))), 1'(3(1(2(0(1(3(2(z0)))))))), 3'(1(2(0(1(3(2(z0))))))), 1'(2(0(1(3(2(z0)))))), 2'(0(1(3(2(z0))))), 0'(1(3(2(z0)))), 1'(3(2(z0))), 3'(2(z0)), 2'(z0))
   3'(c_1(c_2(c_3(c_2(c_0(c_2(c_3(c_1(c_1(c_1(c_3(c_3(c_2(c_0(c_0(c_0(c_3(z0)))))))))))))))))) -> c84(3'(1(3(2(1(3(0(2(1(0(0(2(3(1(2(3(3(0(z0)))))))))))))))))), 1'(3(2(1(3(0(2(1(0(0(2(3(1(2(3(3(0(z0))))))))))))))))), 3'(2(1(3(0(2(1(0(0(2(3(1(2(3(3(0(z0)))))))))))))))), 2'(1(3(0(2(1(0(0(2(3(1(2(3(3(0(z0))))))))))))))), 1'(3(0(2(1(0(0(2(3(1(2(3(3(0(z0)))))))))))))), 3'(0(2(1(0(0(2(3(1(2(3(3(0(z0))))))))))))), 0'(2(1(0(0(2(3(1(2(3(3(0(z0)))))))))))), 2'(1(0(0(2(3(1(2(3(3(0(z0))))))))))), 1'(0(0(2(3(1(2(3(3(0(z0)))))))))), 0'(0(2(3(1(2(3(3(0(z0))))))))), 0'(2(3(1(2(3(3(0(z0)))))))), 2'(3(1(2(3(3(0(z0))))))), 3'(1(2(3(3(0(z0)))))), 1'(2(3(3(0(z0))))), 2'(3(3(0(z0)))), 3'(3(0(z0))), 3'(0(z0)), 0'(z0))
   3'(c_2(c_3(c_2(c_2(c_0(c_3(c_3(c_2(c_0(c_1(c_0(c_0(c_2(c_0(c_1(c_1(c_1(z0)))))))))))))))))) -> c85(3'(0(1(3(2(0(3(0(1(2(3(0(2(0(2(2(1(1(z0)))))))))))))))))), 0'(1(3(2(0(3(0(1(2(3(0(2(0(2(2(1(1(z0))))))))))))))))), 1'(3(2(0(3(0(1(2(3(0(2(0(2(2(1(1(z0)))))))))))))))), 3'(2(0(3(0(1(2(3(0(2(0(2(2(1(1(z0))))))))))))))), 2'(0(3(0(1(2(3(0(2(0(2(2(1(1(z0)))))))))))))), 0'(3(0(1(2(3(0(2(0(2(2(1(1(z0))))))))))))), 3'(0(1(2(3(0(2(0(2(2(1(1(z0)))))))))))), 0'(1(2(3(0(2(0(2(2(1(1(z0))))))))))), 1'(2(3(0(2(0(2(2(1(1(z0)))))))))), 2'(3(0(2(0(2(2(1(1(z0))))))))), 3'(0(2(0(2(2(1(1(z0)))))))), 0'(2(0(2(2(1(1(z0))))))), 2'(0(2(2(1(1(z0)))))), 0'(2(2(1(1(z0))))), 2'(2(1(1(z0)))), 2'(1(1(z0))), 1'(1(z0)), 1'(z0))
   3'(c_3(c_1(c_2(c_2(c_2(c_3(c_3(c_3(c_1(c_3(c_0(c_1(c_1(c_1(c_2(c_1(c_0(z0)))))))))))))))))) -> c86(3'(3(3(1(2(3(1(3(0(2(2(1(3(0(2(1(1(1(z0)))))))))))))))))), 3'(3(1(2(3(1(3(0(2(2(1(3(0(2(1(1(1(z0))))))))))))))))), 3'(1(2(3(1(3(0(2(2(1(3(0(2(1(1(1(z0)))))))))))))))), 1'(2(3(1(3(0(2(2(1(3(0(2(1(1(1(z0))))))))))))))), 2'(3(1(3(0(2(2(1(3(0(2(1(1(1(z0)))))))))))))), 3'(1(3(0(2(2(1(3(0(2(1(1(1(z0))))))))))))), 1'(3(0(2(2(1(3(0(2(1(1(1(z0)))))))))))), 3'(0(2(2(1(3(0(2(1(1(1(z0))))))))))), 0'(2(2(1(3(0(2(1(1(1(z0)))))))))), 2'(2(1(3(0(2(1(1(1(z0))))))))), 2'(1(3(0(2(1(1(1(z0)))))))), 1'(3(0(2(1(1(1(z0))))))), 3'(0(2(1(1(1(z0)))))), 0'(2(1(1(1(z0))))), 2'(1(1(1(z0)))), 1'(1(1(z0))), 1'(1(z0)), 1'(z0))
   3'(c_1(c_1(c_0(c_3(c_0(c_1(c_1(c_3(c_2(c_1(c_2(c_3(c_3(c_1(c_3(c_3(c_1(z0)))))))))))))))))) -> c87(3'(1(3(2(1(1(1(3(3(0(3(2(1(3(0(1(3(1(z0)))))))))))))))))), 1'(3(2(1(1(1(3(3(0(3(2(1(3(0(1(3(1(z0))))))))))))))))), 3'(2(1(1(1(3(3(0(3(2(1(3(0(1(3(1(z0)))))))))))))))), 2'(1(1(1(3(3(0(3(2(1(3(0(1(3(1(z0))))))))))))))), 1'(1(1(3(3(0(3(2(1(3(0(1(3(1(z0)))))))))))))), 1'(1(3(3(0(3(2(1(3(0(1(3(1(z0))))))))))))), 1'(3(3(0(3(2(1(3(0(1(3(1(z0)))))))))))), 3'(3(0(3(2(1(3(0(1(3(1(z0))))))))))), 3'(0(3(2(1(3(0(1(3(1(z0)))))))))), 0'(3(2(1(3(0(1(3(1(z0))))))))), 3'(2(1(3(0(1(3(1(z0)))))))), 2'(1(3(0(1(3(1(z0))))))), 1'(3(0(1(3(1(z0)))))), 3'(0(1(3(1(z0))))), 0'(1(3(1(z0)))), 1'(3(1(z0))), 3'(1(z0)), 1'(z0))
   3'(c_3(c_0(c_1(c_0(c_3(c_2(c_0(c_1(c_1(c_1(c_1(c_3(c_1(c_2(c_3(c_3(c_3(z0)))))))))))))))))) -> c88(3'(2(3(1(1(1(0(3(3(0(2(1(3(0(1(3(1(3(z0)))))))))))))))))), 2'(3(1(1(1(0(3(3(0(2(1(3(0(1(3(1(3(z0))))))))))))))))), 3'(1(1(1(0(3(3(0(2(1(3(0(1(3(1(3(z0)))))))))))))))), 1'(1(1(0(3(3(0(2(1(3(0(1(3(1(3(z0))))))))))))))), 1'(1(0(3(3(0(2(1(3(0(1(3(1(3(z0)))))))))))))), 1'(0(3(3(0(2(1(3(0(1(3(1(3(z0))))))))))))), 0'(3(3(0(2(1(3(0(1(3(1(3(z0)))))))))))), 3'(3(0(2(1(3(0(1(3(1(3(z0))))))))))), 3'(0(2(1(3(0(1(3(1(3(z0)))))))))), 0'(2(1(3(0(1(3(1(3(z0))))))))), 2'(1(3(0(1(3(1(3(z0)))))))), 1'(3(0(1(3(1(3(z0))))))), 3'(0(1(3(1(3(z0)))))), 0'(1(3(1(3(z0))))), 1'(3(1(3(z0)))), 3'(1(3(z0))), 1'(3(z0)), 3'(z0))
   3'(c_3(c_1(c_0(c_3(c_2(c_3(c_0(c_3(c_1(c_0(c_2(c_0(c_3(c_0(c_2(c_2(c_0(z0)))))))))))))))))) -> c89(3'(3(3(2(0(3(0(3(0(1(0(0(1(3(0(2(2(2(z0)))))))))))))))))), 3'(3(2(0(3(0(3(0(1(0(0(1(3(0(2(2(2(z0))))))))))))))))), 3'(2(0(3(0(3(0(1(0(0(1(3(0(2(2(2(z0)))))))))))))))), 2'(0(3(0(3(0(1(0(0(1(3(0(2(2(2(z0))))))))))))))), 0'(3(0(3(0(1(0(0(1(3(0(2(2(2(z0)))))))))))))), 3'(0(3(0(1(0(0(1(3(0(2(2(2(z0))))))))))))), 0'(3(0(1(0(0(1(3(0(2(2(2(z0)))))))))))), 3'(0(1(0(0(1(3(0(2(2(2(z0))))))))))), 0'(1(0(0(1(3(0(2(2(2(z0)))))))))), 1'(0(0(1(3(0(2(2(2(z0))))))))), 0'(0(1(3(0(2(2(2(z0)))))))), 0'(1(3(0(2(2(2(z0))))))), 1'(3(0(2(2(2(z0)))))), 3'(0(2(2(2(z0))))), 0'(2(2(2(z0)))), 2'(2(2(z0))), 2'(2(z0)), 2'(z0))
   3'(c_1(c_2(c_0(c_3(c_2(c_2(c_3(c_2(c_0(c_3(c_3(c_2(c_3(c_3(c_1(c_1(c_3(z0)))))))))))))))))) -> c90(3'(2(2(3(1(3(3(2(1(3(3(0(2(0(2(3(1(3(z0)))))))))))))))))), 2'(2(3(1(3(3(2(1(3(3(0(2(0(2(3(1(3(z0))))))))))))))))), 2'(3(1(3(3(2(1(3(3(0(2(0(2(3(1(3(z0)))))))))))))))), 3'(1(3(3(2(1(3(3(0(2(0(2(3(1(3(z0))))))))))))))), 1'(3(3(2(1(3(3(0(2(0(2(3(1(3(z0)))))))))))))), 3'(3(2(1(3(3(0(2(0(2(3(1(3(z0))))))))))))), 3'(2(1(3(3(0(2(0(2(3(1(3(z0)))))))))))), 2'(1(3(3(0(2(0(2(3(1(3(z0))))))))))), 1'(3(3(0(2(0(2(3(1(3(z0)))))))))), 3'(3(0(2(0(2(3(1(3(z0))))))))), 3'(0(2(0(2(3(1(3(z0)))))))), 0'(2(0(2(3(1(3(z0))))))), 2'(0(2(3(1(3(z0)))))), 0'(2(3(1(3(z0))))), 2'(3(1(3(z0)))), 3'(1(3(z0))), 1'(3(z0)), 3'(z0))
   3'(c_2(c_0(c_1(c_2(c_1(c_0(c_3(c_3(c_3(c_3(c_1(c_2(c_1(c_1(c_0(c_1(c_0(z0)))))))))))))))))) -> c91(3'(0(0(2(1(3(2(3(3(1(1(3(1(1(0(2(0(1(z0)))))))))))))))))), 0'(0(2(1(3(2(3(3(1(1(3(1(1(0(2(0(1(z0))))))))))))))))), 0'(2(1(3(2(3(3(1(1(3(1(1(0(2(0(1(z0)))))))))))))))), 2'(1(3(2(3(3(1(1(3(1(1(0(2(0(1(z0))))))))))))))), 1'(3(2(3(3(1(1(3(1(1(0(2(0(1(z0)))))))))))))), 3'(2(3(3(1(1(3(1(1(0(2(0(1(z0))))))))))))), 2'(3(3(1(1(3(1(1(0(2(0(1(z0)))))))))))), 3'(3(1(1(3(1(1(0(2(0(1(z0))))))))))), 3'(1(1(3(1(1(0(2(0(1(z0)))))))))), 1'(1(3(1(1(0(2(0(1(z0))))))))), 1'(3(1(1(0(2(0(1(z0)))))))), 3'(1(1(0(2(0(1(z0))))))), 1'(1(0(2(0(1(z0)))))), 1'(0(2(0(1(z0))))), 0'(2(0(1(z0)))), 2'(0(1(z0))), 0'(1(z0)), 1'(z0))
S tuples:
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   0'(c_3(c_2(c_0(c_3(c_1(c_0(c_1(c_0(c_3(c_0(c_3(c_0(c_0(c_3(c_0(c_0(c_0(z0)))))))))))))))))) -> c13(0'(3(0(0(0(0(1(2(0(3(3(0(0(3(0(1(3(0(z0)))))))))))))))))), 3'(0(0(0(0(1(2(0(3(3(0(0(3(0(1(3(0(z0))))))))))))))))), 0'(0(0(0(1(2(0(3(3(0(0(3(0(1(3(0(z0)))))))))))))))), 0'(0(0(1(2(0(3(3(0(0(3(0(1(3(0(z0))))))))))))))), 0'(0(1(2(0(3(3(0(0(3(0(1(3(0(z0)))))))))))))), 0'(1(2(0(3(3(0(0(3(0(1(3(0(z0))))))))))))), 1'(2(0(3(3(0(0(3(0(1(3(0(z0)))))))))))), 2'(0(3(3(0(0(3(0(1(3(0(z0))))))))))), 0'(3(3(0(0(3(0(1(3(0(z0)))))))))), 3'(3(0(0(3(0(1(3(0(z0))))))))), 3'(0(0(3(0(1(3(0(z0)))))))), 0'(0(3(0(1(3(0(z0))))))), 0'(3(0(1(3(0(z0)))))), 3'(0(1(3(0(z0))))), 0'(1(3(0(z0)))), 1'(3(0(z0))), 3'(0(z0)), 0'(z0))
   0'(c_1(c_2(c_3(c_2(c_1(c_0(c_1(c_2(c_2(c_0(c_0(c_1(c_0(c_3(c_1(c_0(c_1(z0)))))))))))))))))) -> c14(0'(2(1(1(1(0(2(2(0(0(1(1(0(3(0(1(3(2(z0)))))))))))))))))), 2'(1(1(1(0(2(2(0(0(1(1(0(3(0(1(3(2(z0))))))))))))))))), 1'(1(1(0(2(2(0(0(1(1(0(3(0(1(3(2(z0)))))))))))))))), 1'(1(0(2(2(0(0(1(1(0(3(0(1(3(2(z0))))))))))))))), 1'(0(2(2(0(0(1(1(0(3(0(1(3(2(z0)))))))))))))), 0'(2(2(0(0(1(1(0(3(0(1(3(2(z0))))))))))))), 2'(2(0(0(1(1(0(3(0(1(3(2(z0)))))))))))), 2'(0(0(1(1(0(3(0(1(3(2(z0))))))))))), 0'(0(1(1(0(3(0(1(3(2(z0)))))))))), 0'(1(1(0(3(0(1(3(2(z0))))))))), 1'(1(0(3(0(1(3(2(z0)))))))), 1'(0(3(0(1(3(2(z0))))))), 0'(3(0(1(3(2(z0)))))), 3'(0(1(3(2(z0))))), 0'(1(3(2(z0)))), 1'(3(2(z0))), 3'(2(z0)), 2'(z0))
   0'(c_2(c_1(c_0(c_3(c_0(c_3(c_0(c_3(c_2(c_0(c_1(c_0(c_1(c_2(c_2(c_1(c_1(z0)))))))))))))))))) -> c15(0'(2(3(0(3(2(2(1(2(1(1(0(0(3(0(0(1(1(z0)))))))))))))))))), 2'(3(0(3(2(2(1(2(1(1(0(0(3(0(0(1(1(z0))))))))))))))))), 3'(0(3(2(2(1(2(1(1(0(0(3(0(0(1(1(z0)))))))))))))))), 0'(3(2(2(1(2(1(1(0(0(3(0(0(1(1(z0))))))))))))))), 3'(2(2(1(2(1(1(0(0(3(0(0(1(1(z0)))))))))))))), 2'(2(1(2(1(1(0(0(3(0(0(1(1(z0))))))))))))), 2'(1(2(1(1(0(0(3(0(0(1(1(z0)))))))))))), 1'(2(1(1(0(0(3(0(0(1(1(z0))))))))))), 2'(1(1(0(0(3(0(0(1(1(z0)))))))))), 1'(1(0(0(3(0(0(1(1(z0))))))))), 1'(0(0(3(0(0(1(1(z0)))))))), 0'(0(3(0(0(1(1(z0))))))), 0'(3(0(0(1(1(z0)))))), 3'(0(0(1(1(z0))))), 0'(0(1(1(z0)))), 0'(1(1(z0))), 1'(1(z0)), 1'(z0))
   0'(c_0(c_2(c_2(c_1(c_3(c_2(c_2(c_2(c_1(c_0(c_2(c_2(c_0(c_2(c_2(c_0(c_0(z0)))))))))))))))))) -> c16(0'(2(2(2(2(1(3(0(0(2(1(0(2(2(2(2(0(0(z0)))))))))))))))))), 2'(2(2(2(1(3(0(0(2(1(0(2(2(2(2(0(0(z0))))))))))))))))), 2'(2(2(1(3(0(0(2(1(0(2(2(2(2(0(0(z0)))))))))))))))), 2'(2(1(3(0(0(2(1(0(2(2(2(2(0(0(z0))))))))))))))), 2'(1(3(0(0(2(1(0(2(2(2(2(0(0(z0)))))))))))))), 1'(3(0(0(2(1(0(2(2(2(2(0(0(z0))))))))))))), 3'(0(0(2(1(0(2(2(2(2(0(0(z0)))))))))))), 0'(0(2(1(0(2(2(2(2(0(0(z0))))))))))), 0'(2(1(0(2(2(2(2(0(0(z0)))))))))), 2'(1(0(2(2(2(2(0(0(z0))))))))), 1'(0(2(2(2(2(0(0(z0)))))))), 0'(2(2(2(2(0(0(z0))))))), 2'(2(2(2(0(0(z0)))))), 2'(2(2(0(0(z0))))), 2'(2(0(0(z0)))), 2'(0(0(z0))), 0'(0(z0)), 0'(z0))
   0'(c_3(c_1(c_1(c_2(c_3(c_0(c_3(c_0(c_1(c_0(c_1(c_2(c_2(c_1(c_0(c_2(c_2(z0)))))))))))))))))) -> c17(0'(0(1(3(0(0(2(2(2(3(2(1(1(1(1(0(3(2(z0)))))))))))))))))), 0'(1(3(0(0(2(2(2(3(2(1(1(1(1(0(3(2(z0))))))))))))))))), 1'(3(0(0(2(2(2(3(2(1(1(1(1(0(3(2(z0)))))))))))))))), 3'(0(0(2(2(2(3(2(1(1(1(1(0(3(2(z0))))))))))))))), 0'(0(2(2(2(3(2(1(1(1(1(0(3(2(z0)))))))))))))), 0'(2(2(2(3(2(1(1(1(1(0(3(2(z0))))))))))))), 2'(2(2(3(2(1(1(1(1(0(3(2(z0)))))))))))), 2'(2(3(2(1(1(1(1(0(3(2(z0))))))))))), 2'(3(2(1(1(1(1(0(3(2(z0)))))))))), 3'(2(1(1(1(1(0(3(2(z0))))))))), 2'(1(1(1(1(0(3(2(z0)))))))), 1'(1(1(1(0(3(2(z0))))))), 1'(1(1(0(3(2(z0)))))), 1'(1(0(3(2(z0))))), 1'(0(3(2(z0)))), 0'(3(2(z0))), 3'(2(z0)), 2'(z0))
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   1'(c_3(c_1(c_3(c_2(c_0(c_1(c_3(c_1(c_1(c_3(c_2(c_3(c_3(c_3(c_3(c_0(c_1(z0)))))))))))))))))) -> c30(1'(3(3(3(1(2(3(1(3(0(2(1(1(3(0(3(3(1(z0)))))))))))))))))), 3'(3(3(1(2(3(1(3(0(2(1(1(3(0(3(3(1(z0))))))))))))))))), 3'(3(1(2(3(1(3(0(2(1(1(3(0(3(3(1(z0)))))))))))))))), 3'(1(2(3(1(3(0(2(1(1(3(0(3(3(1(z0))))))))))))))), 1'(2(3(1(3(0(2(1(1(3(0(3(3(1(z0)))))))))))))), 2'(3(1(3(0(2(1(1(3(0(3(3(1(z0))))))))))))), 3'(1(3(0(2(1(1(3(0(3(3(1(z0)))))))))))), 1'(3(0(2(1(1(3(0(3(3(1(z0))))))))))), 3'(0(2(1(1(3(0(3(3(1(z0)))))))))), 0'(2(1(1(3(0(3(3(1(z0))))))))), 2'(1(1(3(0(3(3(1(z0)))))))), 1'(1(3(0(3(3(1(z0))))))), 1'(3(0(3(3(1(z0)))))), 3'(0(3(3(1(z0))))), 0'(3(3(1(z0)))), 3'(3(1(z0))), 3'(1(z0)), 1'(z0))
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   3'(c_3(c_1(c_0(c_3(c_2(c_3(c_0(c_3(c_1(c_0(c_2(c_0(c_3(c_0(c_2(c_2(c_0(z0)))))))))))))))))) -> c89(3'(3(3(2(0(3(0(3(0(1(0(0(1(3(0(2(2(2(z0)))))))))))))))))), 3'(3(2(0(3(0(3(0(1(0(0(1(3(0(2(2(2(z0))))))))))))))))), 3'(2(0(3(0(3(0(1(0(0(1(3(0(2(2(2(z0)))))))))))))))), 2'(0(3(0(3(0(1(0(0(1(3(0(2(2(2(z0))))))))))))))), 0'(3(0(3(0(1(0(0(1(3(0(2(2(2(z0)))))))))))))), 3'(0(3(0(1(0(0(1(3(0(2(2(2(z0))))))))))))), 0'(3(0(1(0(0(1(3(0(2(2(2(z0)))))))))))), 3'(0(1(0(0(1(3(0(2(2(2(z0))))))))))), 0'(1(0(0(1(3(0(2(2(2(z0)))))))))), 1'(0(0(1(3(0(2(2(2(z0))))))))), 0'(0(1(3(0(2(2(2(z0)))))))), 0'(1(3(0(2(2(2(z0))))))), 1'(3(0(2(2(2(z0)))))), 3'(0(2(2(2(z0))))), 0'(2(2(2(z0)))), 2'(2(2(z0))), 2'(2(z0)), 2'(z0))
   3'(c_1(c_2(c_0(c_3(c_2(c_2(c_3(c_2(c_0(c_3(c_3(c_2(c_3(c_3(c_1(c_1(c_3(z0)))))))))))))))))) -> c90(3'(2(2(3(1(3(3(2(1(3(3(0(2(0(2(3(1(3(z0)))))))))))))))))), 2'(2(3(1(3(3(2(1(3(3(0(2(0(2(3(1(3(z0))))))))))))))))), 2'(3(1(3(3(2(1(3(3(0(2(0(2(3(1(3(z0)))))))))))))))), 3'(1(3(3(2(1(3(3(0(2(0(2(3(1(3(z0))))))))))))))), 1'(3(3(2(1(3(3(0(2(0(2(3(1(3(z0)))))))))))))), 3'(3(2(1(3(3(0(2(0(2(3(1(3(z0))))))))))))), 3'(2(1(3(3(0(2(0(2(3(1(3(z0)))))))))))), 2'(1(3(3(0(2(0(2(3(1(3(z0))))))))))), 1'(3(3(0(2(0(2(3(1(3(z0)))))))))), 3'(3(0(2(0(2(3(1(3(z0))))))))), 3'(0(2(0(2(3(1(3(z0)))))))), 0'(2(0(2(3(1(3(z0))))))), 2'(0(2(3(1(3(z0)))))), 0'(2(3(1(3(z0))))), 2'(3(1(3(z0)))), 3'(1(3(z0))), 1'(3(z0)), 3'(z0))
   3'(c_2(c_0(c_1(c_2(c_1(c_0(c_3(c_3(c_3(c_3(c_1(c_2(c_1(c_1(c_0(c_1(c_0(z0)))))))))))))))))) -> c91(3'(0(0(2(1(3(2(3(3(1(1(3(1(1(0(2(0(1(z0)))))))))))))))))), 0'(0(2(1(3(2(3(3(1(1(3(1(1(0(2(0(1(z0))))))))))))))))), 0'(2(1(3(2(3(3(1(1(3(1(1(0(2(0(1(z0)))))))))))))))), 2'(1(3(2(3(3(1(1(3(1(1(0(2(0(1(z0))))))))))))))), 1'(3(2(3(3(1(1(3(1(1(0(2(0(1(z0)))))))))))))), 3'(2(3(3(1(1(3(1(1(0(2(0(1(z0))))))))))))), 2'(3(3(1(1(3(1(1(0(2(0(1(z0)))))))))))), 3'(3(1(1(3(1(1(0(2(0(1(z0))))))))))), 3'(1(1(3(1(1(0(2(0(1(z0)))))))))), 1'(1(3(1(1(0(2(0(1(z0))))))))), 1'(3(1(1(0(2(0(1(z0)))))))), 3'(1(1(0(2(0(1(z0))))))), 1'(1(0(2(0(1(z0)))))), 1'(0(2(0(1(z0))))), 0'(2(0(1(z0)))), 2'(0(1(z0))), 0'(1(z0)), 1'(z0))
K tuples:none
Defined Rule Symbols:   2_1, 1_1, 0_1, 3_1, encArg_1, encode_0_1, encode_2_1, encode_1_1, encode_3_1

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

Compound Symbols:   c_2, c1_2, c2_2, c3_2, c4_2, c5_2, c6_2, c7_2, c8, c9_18, c10_18, c11_18, c12_18, c13_18, c14_18, c15_18, c16_18, c17_18, c18_18, c19_18, c20, c21_18, c22_18, c23_18, c24_18, c25_18, c26_18, c27_18, c28_18, c29_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, c43_18, c44_18, c45_18, c46_18, c47_18, c48_18, c49_18, c50_18, c51_18, c52, 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_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, c81_18, c82_18, c83_18, c84_18, c85_18, c86_18, c87_18, c88_18, c89_18, c90_18, c91_18


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

(39) CdtLeafRemovalProof (BOTH BOUNDS(ID, ID))
Removed 4 trailing nodes:
   1'(z0) -> c20
   0'(z0) -> c8
   2'(z0) -> c52
   3'(z0) -> c80

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

(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_2(z0) -> 2(encArg(z0))
   encode_1(z0) -> 1(encArg(z0))
   encode_3(z0) -> 3(encArg(z0))
   0(z0) -> c_0(z0)
   0(c_2(c_3(c_0(c_1(c_2(c_3(c_2(c_0(c_3(c_1(c_0(c_0(c_0(c_3(c_3(c_0(c_3(z0)))))))))))))))))) -> 0(2(1(3(0(0(3(3(0(1(0(2(2(3(3(0(0(3(z0))))))))))))))))))
   0(c_1(c_0(c_2(c_1(c_1(c_0(c_0(c_1(c_0(c_3(c_1(c_1(c_0(c_2(c_1(c_2(c_3(z0)))))))))))))))))) -> 0(1(2(0(0(2(1(1(0(1(1(1(0(1(3(0(2(3(z0))))))))))))))))))
   0(c_1(c_0(c_3(c_2(c_0(c_0(c_0(c_3(c_3(c_0(c_2(c_2(c_2(c_2(c_1(c_1(c_1(z0)))))))))))))))))) -> 0(0(1(1(3(0(3(0(0(2(2(2(0(2(2(1(3(1(z0))))))))))))))))))
   0(c_0(c_3(c_1(c_0(c_2(c_2(c_0(c_2(c_3(c_1(c_1(c_0(c_1(c_2(c_2(c_0(c_1(z0)))))))))))))))))) -> 0(2(1(1(3(0(0(0(1(0(2(3(1(2(2(0(2(1(z0))))))))))))))))))
   0(c_3(c_2(c_0(c_3(c_1(c_0(c_1(c_0(c_3(c_0(c_3(c_0(c_0(c_3(c_0(c_0(c_0(z0)))))))))))))))))) -> 0(3(0(0(0(0(1(2(0(3(3(0(0(3(0(1(3(0(z0))))))))))))))))))
   0(c_1(c_2(c_3(c_2(c_1(c_0(c_1(c_2(c_2(c_0(c_0(c_1(c_0(c_3(c_1(c_0(c_1(z0)))))))))))))))))) -> 0(2(1(1(1(0(2(2(0(0(1(1(0(3(0(1(3(2(z0))))))))))))))))))
   0(c_2(c_1(c_0(c_3(c_0(c_3(c_0(c_3(c_2(c_0(c_1(c_0(c_1(c_2(c_2(c_1(c_1(z0)))))))))))))))))) -> 0(2(3(0(3(2(2(1(2(1(1(0(0(3(0(0(1(1(z0))))))))))))))))))
   0(c_0(c_2(c_2(c_1(c_3(c_2(c_2(c_2(c_1(c_0(c_2(c_2(c_0(c_2(c_2(c_0(c_0(z0)))))))))))))))))) -> 0(2(2(2(2(1(3(0(0(2(1(0(2(2(2(2(0(0(z0))))))))))))))))))
   0(c_3(c_1(c_1(c_2(c_3(c_0(c_3(c_0(c_1(c_0(c_1(c_2(c_2(c_1(c_0(c_2(c_2(z0)))))))))))))))))) -> 0(0(1(3(0(0(2(2(2(3(2(1(1(1(1(0(3(2(z0))))))))))))))))))
   0(c_1(c_1(c_1(c_1(c_3(c_1(c_1(c_0(c_1(c_3(c_1(c_0(c_2(c_3(c_3(c_3(c_2(z0)))))))))))))))))) -> 0(2(0(1(3(1(1(3(1(0(1(3(2(1(3(1(1(3(z0))))))))))))))))))
   0(c_3(c_0(c_1(c_0(c_3(c_0(c_1(c_1(c_1(c_2(c_0(c_0(c_0(c_3(c_2(c_1(c_0(z0)))))))))))))))))) -> 0(0(2(2(1(3(0(0(1(3(0(1(0(1(0(0(1(3(z0))))))))))))))))))
   1(z0) -> c_1(z0)
   1(c_0(c_1(c_0(c_2(c_0(c_2(c_3(c_1(c_1(c_2(c_2(c_0(c_0(c_3(c_0(c_3(c_2(z0)))))))))))))))))) -> 0(0(0(1(1(3(1(3(2(0(0(2(2(1(3(0(2(2(z0))))))))))))))))))
   1(c_2(c_0(c_0(c_2(c_1(c_3(c_2(c_2(c_3(c_2(c_2(c_0(c_3(c_2(c_3(c_2(c_2(z0)))))))))))))))))) -> 1(2(0(3(2(2(2(2(3(0(0(2(2(2(3(1(3(2(z0))))))))))))))))))
   1(c_0(c_2(c_3(c_3(c_3(c_1(c_0(c_2(c_0(c_1(c_2(c_2(c_3(c_2(c_1(c_0(c_1(z0)))))))))))))))))) -> 2(3(2(1(0(1(3(1(3(0(2(3(0(2(0(1(2(1(z0))))))))))))))))))
   1(c_1(c_1(c_2(c_1(c_1(c_1(c_2(c_1(c_3(c_1(c_0(c_1(c_2(c_1(c_2(c_3(c_1(z0)))))))))))))))))) -> 1(1(1(1(1(1(3(0(2(2(1(1(1(2(3(1(2(1(z0))))))))))))))))))
   1(c_1(c_0(c_3(c_1(c_0(c_2(c_3(c_1(c_1(c_0(c_3(c_3(c_0(c_3(c_1(c_1(c_1(z0)))))))))))))))))) -> 1(1(3(1(3(2(3(0(1(0(3(0(1(3(1(0(1(1(z0))))))))))))))))))
   1(c_3(c_2(c_2(c_1(c_0(c_1(c_2(c_1(c_0(c_3(c_1(c_0(c_3(c_2(c_3(c_0(c_3(z0)))))))))))))))))) -> 3(1(3(2(1(1(0(0(2(0(0(3(1(3(2(2(1(3(z0))))))))))))))))))
   1(c_2(c_1(c_2(c_1(c_2(c_0(c_1(c_0(c_1(c_3(c_1(c_0(c_0(c_0(c_1(c_3(c_3(z0)))))))))))))))))) -> 1(1(2(2(1(0(1(3(0(1(1(3(0(2(1(3(0(0(z0))))))))))))))))))
   1(c_2(c_0(c_1(c_2(c_1(c_0(c_2(c_0(c_0(c_3(c_1(c_0(c_2(c_0(c_3(c_2(c_2(z0)))))))))))))))))) -> 1(1(0(0(0(2(1(0(2(0(3(2(2(1(0(2(3(2(z0))))))))))))))))))
   1(c_3(c_1(c_1(c_0(c_1(c_2(c_1(c_1(c_1(c_0(c_3(c_1(c_1(c_0(c_2(c_3(c_1(z0)))))))))))))))))) -> 1(1(3(2(1(3(1(1(0(0(1(3(2(1(0(1(1(1(z0))))))))))))))))))
   1(c_3(c_1(c_3(c_2(c_0(c_1(c_3(c_1(c_1(c_3(c_2(c_3(c_3(c_3(c_3(c_0(c_1(z0)))))))))))))))))) -> 1(3(3(3(1(2(3(1(3(0(2(1(1(3(0(3(3(1(z0))))))))))))))))))
   1(c_0(c_0(c_0(c_1(c_2(c_3(c_3(c_2(c_2(c_1(c_0(c_2(c_3(c_3(c_2(c_0(c_3(z0)))))))))))))))))) -> 3(0(2(1(1(3(3(1(0(0(2(0(2(2(3(2(0(3(z0))))))))))))))))))
   1(c_1(c_0(c_0(c_1(c_2(c_1(c_2(c_2(c_0(c_3(c_1(c_2(c_3(c_2(c_0(c_0(c_3(z0)))))))))))))))))) -> 1(2(2(0(2(1(0(2(1(0(0(2(3(0(1(1(3(3(z0))))))))))))))))))
   1(c_2(c_0(c_2(c_0(c_0(c_0(c_3(c_0(c_1(c_0(c_1(c_1(c_0(c_3(c_1(c_0(c_3(z0)))))))))))))))))) -> 1(3(0(3(1(1(0(1(1(0(0(0(2(2(3(0(0(0(z0))))))))))))))))))
   1(c_1(c_0(c_3(c_1(c_0(c_3(c_3(c_3(c_1(c_1(c_2(c_2(c_2(c_2(c_0(c_1(c_2(z0)))))))))))))))))) -> 2(1(1(0(0(1(1(2(3(3(3(0(1(2(3(2(1(2(z0))))))))))))))))))
   1(c_3(c_3(c_0(c_0(c_3(c_3(c_1(c_0(c_0(c_2(c_3(c_3(c_1(c_3(c_2(c_3(c_1(z0)))))))))))))))))) -> 1(3(0(0(1(3(0(1(3(3(2(2(3(3(3(3(0(1(z0))))))))))))))))))
   1(c_2(c_3(c_3(c_2(c_1(c_0(c_3(c_2(c_2(c_1(c_0(c_3(c_1(c_0(c_0(c_0(c_0(z0)))))))))))))))))) -> 0(3(0(1(2(1(3(0(1(0(2(1(2(3(3(0(2(0(z0))))))))))))))))))
   1(c_0(c_3(c_0(c_3(c_1(c_0(c_3(c_3(c_1(c_2(c_1(c_3(c_2(c_0(c_2(c_1(c_0(z0)))))))))))))))))) -> 2(2(1(3(0(0(1(3(1(0(2(0(0(3(3(3(1(1(z0))))))))))))))))))
   1(c_2(c_3(c_0(c_3(c_2(c_0(c_2(c_0(c_2(c_0(c_3(c_2(c_0(c_2(c_2(c_0(c_0(z0)))))))))))))))))) -> 1(2(2(2(0(3(3(0(0(2(0(0(0(2(2(2(3(0(z0))))))))))))))))))
   1(c_1(c_3(c_2(c_0(c_2(c_3(c_1(c_0(c_1(c_0(c_2(c_3(c_3(c_2(c_2(c_0(c_0(z0)))))))))))))))))) -> 2(0(2(3(2(0(2(0(1(2(1(3(0(1(3(0(1(3(z0))))))))))))))))))
   1(c_0(c_3(c_3(c_1(c_0(c_3(c_3(c_3(c_1(c_1(c_3(c_2(c_0(c_0(c_1(c_3(c_1(z0)))))))))))))))))) -> 1(3(3(0(1(3(3(0(1(3(3(0(1(3(2(1(0(1(z0))))))))))))))))))
   1(c_2(c_1(c_3(c_2(c_3(c_3(c_1(c_1(c_1(c_0(c_1(c_0(c_0(c_3(c_2(c_0(c_3(z0)))))))))))))))))) -> 1(3(3(2(3(0(2(1(3(1(1(3(1(2(1(0(0(0(z0))))))))))))))))))
   1(c_2(c_1(c_0(c_3(c_1(c_3(c_3(c_2(c_2(c_2(c_2(c_0(c_0(c_3(c_1(c_0(c_1(z0)))))))))))))))))) -> 3(1(2(0(1(3(2(3(2(2(0(0(0(2(3(1(1(1(z0))))))))))))))))))
   1(c_2(c_3(c_3(c_1(c_2(c_2(c_2(c_1(c_0(c_1(c_2(c_0(c_1(c_3(c_2(c_0(c_1(z0)))))))))))))))))) -> 3(3(0(0(2(0(2(2(1(1(1(3(1(2(2(1(2(1(z0))))))))))))))))))
   1(c_0(c_1(c_3(c_2(c_2(c_3(c_2(c_0(c_0(c_1(c_0(c_3(c_2(c_3(c_2(c_3(c_3(z0)))))))))))))))))) -> 1(3(3(1(2(2(0(3(0(0(1(3(0(2(2(3(2(3(z0))))))))))))))))))
   1(c_1(c_1(c_3(c_1(c_3(c_1(c_0(c_3(c_2(c_1(c_3(c_2(c_1(c_0(c_3(c_0(c_3(z0)))))))))))))))))) -> 1(2(2(3(0(1(3(1(1(3(0(0(1(3(1(1(3(3(z0))))))))))))))))))
   1(c_3(c_3(c_0(c_1(c_1(c_3(c_2(c_2(c_1(c_1(c_0(c_3(c_1(c_2(c_1(c_0(c_0(z0)))))))))))))))))) -> 1(3(1(1(0(0(1(1(2(1(3(0(2(3(1(0(2(3(z0))))))))))))))))))
   1(c_1(c_1(c_1(c_0(c_1(c_3(c_2(c_1(c_1(c_2(c_2(c_0(c_2(c_2(c_3(c_0(c_2(z0)))))))))))))))))) -> 1(1(1(2(3(0(2(2(1(1(1(2(3(0(1(2(0(2(z0))))))))))))))))))
   1(c_1(c_3(c_3(c_2(c_1(c_3(c_3(c_2(c_0(c_1(c_3(c_3(c_3(c_0(c_3(c_2(c_1(z0)))))))))))))))))) -> 1(3(1(3(0(3(3(3(1(3(3(2(3(1(2(0(2(1(z0))))))))))))))))))
   1(c_0(c_2(c_3(c_1(c_2(c_3(c_1(c_2(c_3(c_2(c_3(c_2(c_1(c_2(c_2(c_2(c_2(z0)))))))))))))))))) -> 2(3(2(2(3(0(2(1(3(2(2(1(1(1(3(2(2(2(z0))))))))))))))))))
   1(c_3(c_3(c_2(c_2(c_1(c_0(c_3(c_2(c_1(c_1(c_1(c_2(c_3(c_1(c_0(c_1(c_0(z0)))))))))))))))))) -> 2(0(1(2(1(2(1(3(1(1(3(0(3(2(1(3(0(1(z0))))))))))))))))))
   1(c_2(c_3(c_1(c_1(c_0(c_0(c_3(c_3(c_0(c_2(c_1(c_3(c_3(c_0(c_3(c_2(c_3(z0)))))))))))))))))) -> 3(1(3(0(2(3(3(1(3(0(2(1(2(0(0(1(3(3(z0))))))))))))))))))
   2(z0) -> c_2(z0)
   2(c_2(c_2(c_2(c_1(c_1(c_0(c_1(c_1(c_2(c_2(c_0(c_0(c_1(c_2(c_2(c_1(c_1(z0)))))))))))))))))) -> 0(2(1(2(0(2(0(2(2(1(2(2(2(1(1(1(1(1(z0))))))))))))))))))
   2(c_0(c_1(c_3(c_3(c_3(c_3(c_3(c_1(c_1(c_3(c_2(c_0(c_1(c_0(c_0(c_1(c_0(z0)))))))))))))))))) -> 1(3(0(2(1(1(3(0(2(3(0(0(3(1(3(3(1(0(z0))))))))))))))))))
   2(c_3(c_2(c_1(c_0(c_0(c_0(c_2(c_3(c_2(c_3(c_0(c_3(c_0(c_2(c_1(c_1(c_2(z0)))))))))))))))))) -> 2(2(3(0(3(0(2(1(0(2(2(0(1(3(1(3(0(2(z0))))))))))))))))))
   2(c_1(c_2(c_2(c_3(c_2(c_3(c_0(c_1(c_3(c_2(c_1(c_1(c_3(c_3(c_2(c_2(c_2(z0)))))))))))))))))) -> 2(1(1(1(3(2(3(2(2(3(0(2(3(2(1(3(2(2(z0))))))))))))))))))
   2(c_1(c_2(c_2(c_2(c_0(c_2(c_1(c_2(c_3(c_0(c_0(c_3(c_1(c_2(c_2(c_1(c_3(z0)))))))))))))))))) -> 0(2(0(2(1(3(2(2(1(3(2(2(1(3(0(2(1(2(z0))))))))))))))))))
   2(c_0(c_3(c_0(c_3(c_2(c_3(c_2(c_1(c_0(c_1(c_2(c_2(c_0(c_0(c_0(c_1(c_2(z0)))))))))))))))))) -> 0(2(2(1(2(0(1(2(0(3(0(0(2(1(3(0(3(2(z0))))))))))))))))))
   2(c_3(c_0(c_2(c_0(c_3(c_2(c_0(c_2(c_3(c_2(c_1(c_2(c_2(c_2(c_3(c_0(c_3(z0)))))))))))))))))) -> 2(3(2(3(3(0(0(2(2(2(1(3(2(0(2(3(2(0(z0))))))))))))))))))
   2(c_3(c_1(c_0(c_1(c_0(c_1(c_2(c_1(c_0(c_3(c_1(c_0(c_3(c_1(c_2(c_2(c_3(z0)))))))))))))))))) -> 2(1(2(1(1(0(1(0(2(3(0(0(3(3(3(1(1(2(z0))))))))))))))))))
   2(c_1(c_0(c_1(c_1(c_3(c_3(c_0(c_1(c_0(c_1(c_2(c_3(c_3(c_0(c_3(c_2(c_2(z0)))))))))))))))))) -> 0(3(3(1(3(3(0(2(1(1(3(1(0(2(1(2(0(2(z0))))))))))))))))))
   2(c_3(c_1(c_1(c_0(c_3(c_1(c_2(c_1(c_0(c_1(c_3(c_2(c_0(c_1(c_2(c_1(c_1(z0)))))))))))))))))) -> 2(3(2(0(1(1(1(3(2(1(1(3(0(0(1(1(2(1(z0))))))))))))))))))
   2(c_1(c_2(c_2(c_2(c_1(c_3(c_2(c_0(c_0(c_2(c_3(c_2(c_3(c_3(c_3(c_0(c_3(z0)))))))))))))))))) -> 2(3(3(1(3(2(0(3(2(1(3(0(2(2(2(2(3(0(z0))))))))))))))))))
   2(c_2(c_1(c_2(c_3(c_2(c_0(c_2(c_0(c_3(c_1(c_0(c_1(c_1(c_0(c_1(c_3(c_3(z0)))))))))))))))))) -> 2(2(0(1(2(0(1(2(3(1(0(2(0(1(3(1(3(3(z0))))))))))))))))))
   2(c_1(c_1(c_1(c_0(c_2(c_2(c_2(c_1(c_0(c_2(c_0(c_0(c_2(c_2(c_2(c_2(c_1(z0)))))))))))))))))) -> 2(2(2(2(1(1(2(0(1(0(0(0(2(1(2(2(2(1(z0))))))))))))))))))
   2(c_3(c_2(c_2(c_2(c_3(c_0(c_3(c_1(c_0(c_3(c_2(c_1(c_1(c_2(c_0(c_2(c_3(z0)))))))))))))))))) -> 2(2(1(1(0(1(2(3(3(0(3(3(2(2(2(0(2(3(z0))))))))))))))))))
   2(c_2(c_3(c_1(c_2(c_3(c_0(c_3(c_1(c_1(c_1(c_0(c_1(c_1(c_0(c_1(c_3(c_1(z0)))))))))))))))))) -> 2(3(1(1(2(0(1(3(1(1(0(1(1(3(1(3(0(2(z0))))))))))))))))))
   2(c_2(c_0(c_3(c_1(c_2(c_0(c_3(c_1(c_2(c_1(c_3(c_0(c_1(c_0(c_3(c_0(c_0(z0)))))))))))))))))) -> 2(3(2(2(1(3(0(3(0(1(3(0(0(0(1(1(2(0(z0))))))))))))))))))
   2(c_2(c_3(c_3(c_1(c_3(c_1(c_1(c_0(c_1(c_2(c_2(c_0(c_3(c_2(c_0(c_3(c_3(z0)))))))))))))))))) -> 2(2(3(1(3(2(1(3(3(1(0(0(2(3(3(1(0(2(z0))))))))))))))))))
   2(c_1(c_3(c_3(c_3(c_1(c_2(c_1(c_2(c_1(c_0(c_0(c_3(c_1(c_3(c_2(c_0(c_0(z0)))))))))))))))))) -> 2(1(3(0(1(3(1(0(2(2(0(0(1(3(1(3(2(3(z0))))))))))))))))))
   2(c_2(c_1(c_0(c_1(c_2(c_0(c_0(c_3(c_0(c_2(c_1(c_1(c_2(c_1(c_2(c_1(c_2(z0)))))))))))))))))) -> 2(2(1(0(3(2(1(1(1(0(0(2(0(1(2(2(1(2(z0))))))))))))))))))
   2(c_3(c_3(c_2(c_3(c_1(c_0(c_1(c_1(c_1(c_3(c_1(c_0(c_1(c_0(c_3(c_2(c_0(z0)))))))))))))))))) -> 2(1(0(0(1(2(3(1(1(3(3(3(1(1(3(2(0(0(z0))))))))))))))))))
   2(c_0(c_1(c_0(c_2(c_2(c_2(c_2(c_0(c_3(c_2(c_3(c_1(c_2(c_3(c_0(c_3(c_2(z0)))))))))))))))))) -> 2(0(2(0(2(2(3(0(3(3(1(3(0(1(2(2(2(2(z0))))))))))))))))))
   2(c_1(c_2(c_3(c_3(c_3(c_0(c_2(c_0(c_0(c_2(c_2(c_1(c_0(c_2(c_0(c_2(c_0(z0)))))))))))))))))) -> 0(3(0(2(2(2(1(3(0(0(1(3(0(0(2(2(2(2(z0))))))))))))))))))
   2(c_2(c_0(c_0(c_2(c_1(c_1(c_2(c_1(c_2(c_0(c_1(c_2(c_2(c_2(c_2(c_2(c_2(z0)))))))))))))))))) -> 2(2(2(2(1(1(0(2(1(1(2(2(0(2(0(2(2(2(z0))))))))))))))))))
   2(c_2(c_1(c_1(c_3(c_1(c_0(c_0(c_1(c_2(c_3(c_2(c_3(c_1(c_0(c_1(c_1(c_0(z0)))))))))))))))))) -> 0(1(2(2(3(1(0(2(1(3(2(1(1(3(0(1(1(0(z0))))))))))))))))))
   2(c_3(c_1(c_0(c_2(c_3(c_1(c_0(c_0(c_1(c_0(c_1(c_0(c_1(c_2(c_2(c_1(c_0(z0)))))))))))))))))) -> 2(0(3(1(0(1(0(1(2(0(2(2(1(3(0(0(1(1(z0))))))))))))))))))
   2(c_0(c_0(c_3(c_1(c_2(c_3(c_2(c_0(c_2(c_3(c_0(c_1(c_2(c_2(c_0(c_0(c_2(z0)))))))))))))))))) -> 2(0(2(3(1(3(0(0(3(2(0(1(0(2(0(2(2(2(z0))))))))))))))))))
   2(c_2(c_1(c_1(c_2(c_3(c_1(c_2(c_1(c_3(c_1(c_0(c_2(c_2(c_0(c_3(c_1(c_1(z0)))))))))))))))))) -> 2(2(1(2(3(1(1(3(1(2(2(1(0(0(2(1(3(1(z0))))))))))))))))))
   3(z0) -> c_3(z0)
   3(c_1(c_0(c_0(c_3(c_0(c_3(c_2(c_3(c_2(c_3(c_0(c_1(c_0(c_1(c_1(c_2(c_3(z0)))))))))))))))))) -> 3(0(1(3(2(3(3(1(1(0(2(0(0(3(1(3(0(2(z0))))))))))))))))))
   3(c_0(c_3(c_1(c_0(c_1(c_0(c_3(c_3(c_1(c_0(c_3(c_2(c_3(c_3(c_2(c_0(c_3(z0)))))))))))))))))) -> 1(3(0(2(0(0(3(3(2(1(3(0(3(3(1(3(3(0(z0))))))))))))))))))
   3(c_0(c_1(c_0(c_1(c_2(c_3(c_3(c_1(c_2(c_3(c_2(c_1(c_1(c_1(c_3(c_3(c_0(z0)))))))))))))))))) -> 3(0(1(2(1(3(3(1(3(0(1(3(1(2(0(1(3(2(z0))))))))))))))))))
   3(c_1(c_2(c_3(c_2(c_0(c_2(c_3(c_1(c_1(c_1(c_3(c_3(c_2(c_0(c_0(c_0(c_3(z0)))))))))))))))))) -> 3(1(3(2(1(3(0(2(1(0(0(2(3(1(2(3(3(0(z0))))))))))))))))))
   3(c_2(c_3(c_2(c_2(c_0(c_3(c_3(c_2(c_0(c_1(c_0(c_0(c_2(c_0(c_1(c_1(c_1(z0)))))))))))))))))) -> 3(0(1(3(2(0(3(0(1(2(3(0(2(0(2(2(1(1(z0))))))))))))))))))
   3(c_3(c_1(c_2(c_2(c_2(c_3(c_3(c_3(c_1(c_3(c_0(c_1(c_1(c_1(c_2(c_1(c_0(z0)))))))))))))))))) -> 3(3(3(1(2(3(1(3(0(2(2(1(3(0(2(1(1(1(z0))))))))))))))))))
   3(c_1(c_1(c_0(c_3(c_0(c_1(c_1(c_3(c_2(c_1(c_2(c_3(c_3(c_1(c_3(c_3(c_1(z0)))))))))))))))))) -> 3(1(3(2(1(1(1(3(3(0(3(2(1(3(0(1(3(1(z0))))))))))))))))))
   3(c_3(c_0(c_1(c_0(c_3(c_2(c_0(c_1(c_1(c_1(c_1(c_3(c_1(c_2(c_3(c_3(c_3(z0)))))))))))))))))) -> 3(2(3(1(1(1(0(3(3(0(2(1(3(0(1(3(1(3(z0))))))))))))))))))
   3(c_3(c_1(c_0(c_3(c_2(c_3(c_0(c_3(c_1(c_0(c_2(c_0(c_3(c_0(c_2(c_2(c_0(z0)))))))))))))))))) -> 3(3(3(2(0(3(0(3(0(1(0(0(1(3(0(2(2(2(z0))))))))))))))))))
   3(c_1(c_2(c_0(c_3(c_2(c_2(c_3(c_2(c_0(c_3(c_3(c_2(c_3(c_3(c_1(c_1(c_3(z0)))))))))))))))))) -> 3(2(2(3(1(3(3(2(1(3(3(0(2(0(2(3(1(3(z0))))))))))))))))))
   3(c_2(c_0(c_1(c_2(c_1(c_0(c_3(c_3(c_3(c_3(c_1(c_2(c_1(c_1(c_0(c_1(c_0(z0)))))))))))))))))) -> 3(0(0(2(1(3(2(3(3(1(1(3(1(1(0(2(0(1(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_2(z0) -> c5(2'(encArg(z0)), ENCARG(z0))
   ENCODE_1(z0) -> c6(1'(encArg(z0)), ENCARG(z0))
   ENCODE_3(z0) -> c7(3'(encArg(z0)), ENCARG(z0))
   0'(c_2(c_3(c_0(c_1(c_2(c_3(c_2(c_0(c_3(c_1(c_0(c_0(c_0(c_3(c_3(c_0(c_3(z0)))))))))))))))))) -> c9(0'(2(1(3(0(0(3(3(0(1(0(2(2(3(3(0(0(3(z0)))))))))))))))))), 2'(1(3(0(0(3(3(0(1(0(2(2(3(3(0(0(3(z0))))))))))))))))), 1'(3(0(0(3(3(0(1(0(2(2(3(3(0(0(3(z0)))))))))))))))), 3'(0(0(3(3(0(1(0(2(2(3(3(0(0(3(z0))))))))))))))), 0'(0(3(3(0(1(0(2(2(3(3(0(0(3(z0)))))))))))))), 0'(3(3(0(1(0(2(2(3(3(0(0(3(z0))))))))))))), 3'(3(0(1(0(2(2(3(3(0(0(3(z0)))))))))))), 3'(0(1(0(2(2(3(3(0(0(3(z0))))))))))), 0'(1(0(2(2(3(3(0(0(3(z0)))))))))), 1'(0(2(2(3(3(0(0(3(z0))))))))), 0'(2(2(3(3(0(0(3(z0)))))))), 2'(2(3(3(0(0(3(z0))))))), 2'(3(3(0(0(3(z0)))))), 3'(3(0(0(3(z0))))), 3'(0(0(3(z0)))), 0'(0(3(z0))), 0'(3(z0)), 3'(z0))
   0'(c_1(c_0(c_2(c_1(c_1(c_0(c_0(c_1(c_0(c_3(c_1(c_1(c_0(c_2(c_1(c_2(c_3(z0)))))))))))))))))) -> c10(0'(1(2(0(0(2(1(1(0(1(1(1(0(1(3(0(2(3(z0)))))))))))))))))), 1'(2(0(0(2(1(1(0(1(1(1(0(1(3(0(2(3(z0))))))))))))))))), 2'(0(0(2(1(1(0(1(1(1(0(1(3(0(2(3(z0)))))))))))))))), 0'(0(2(1(1(0(1(1(1(0(1(3(0(2(3(z0))))))))))))))), 0'(2(1(1(0(1(1(1(0(1(3(0(2(3(z0)))))))))))))), 2'(1(1(0(1(1(1(0(1(3(0(2(3(z0))))))))))))), 1'(1(0(1(1(1(0(1(3(0(2(3(z0)))))))))))), 1'(0(1(1(1(0(1(3(0(2(3(z0))))))))))), 0'(1(1(1(0(1(3(0(2(3(z0)))))))))), 1'(1(1(0(1(3(0(2(3(z0))))))))), 1'(1(0(1(3(0(2(3(z0)))))))), 1'(0(1(3(0(2(3(z0))))))), 0'(1(3(0(2(3(z0)))))), 1'(3(0(2(3(z0))))), 3'(0(2(3(z0)))), 0'(2(3(z0))), 2'(3(z0)), 3'(z0))
   0'(c_1(c_0(c_3(c_2(c_0(c_0(c_0(c_3(c_3(c_0(c_2(c_2(c_2(c_2(c_1(c_1(c_1(z0)))))))))))))))))) -> c11(0'(0(1(1(3(0(3(0(0(2(2(2(0(2(2(1(3(1(z0)))))))))))))))))), 0'(1(1(3(0(3(0(0(2(2(2(0(2(2(1(3(1(z0))))))))))))))))), 1'(1(3(0(3(0(0(2(2(2(0(2(2(1(3(1(z0)))))))))))))))), 1'(3(0(3(0(0(2(2(2(0(2(2(1(3(1(z0))))))))))))))), 3'(0(3(0(0(2(2(2(0(2(2(1(3(1(z0)))))))))))))), 0'(3(0(0(2(2(2(0(2(2(1(3(1(z0))))))))))))), 3'(0(0(2(2(2(0(2(2(1(3(1(z0)))))))))))), 0'(0(2(2(2(0(2(2(1(3(1(z0))))))))))), 0'(2(2(2(0(2(2(1(3(1(z0)))))))))), 2'(2(2(0(2(2(1(3(1(z0))))))))), 2'(2(0(2(2(1(3(1(z0)))))))), 2'(0(2(2(1(3(1(z0))))))), 0'(2(2(1(3(1(z0)))))), 2'(2(1(3(1(z0))))), 2'(1(3(1(z0)))), 1'(3(1(z0))), 3'(1(z0)), 1'(z0))
   0'(c_0(c_3(c_1(c_0(c_2(c_2(c_0(c_2(c_3(c_1(c_1(c_0(c_1(c_2(c_2(c_0(c_1(z0)))))))))))))))))) -> c12(0'(2(1(1(3(0(0(0(1(0(2(3(1(2(2(0(2(1(z0)))))))))))))))))), 2'(1(1(3(0(0(0(1(0(2(3(1(2(2(0(2(1(z0))))))))))))))))), 1'(1(3(0(0(0(1(0(2(3(1(2(2(0(2(1(z0)))))))))))))))), 1'(3(0(0(0(1(0(2(3(1(2(2(0(2(1(z0))))))))))))))), 3'(0(0(0(1(0(2(3(1(2(2(0(2(1(z0)))))))))))))), 0'(0(0(1(0(2(3(1(2(2(0(2(1(z0))))))))))))), 0'(0(1(0(2(3(1(2(2(0(2(1(z0)))))))))))), 0'(1(0(2(3(1(2(2(0(2(1(z0))))))))))), 1'(0(2(3(1(2(2(0(2(1(z0)))))))))), 0'(2(3(1(2(2(0(2(1(z0))))))))), 2'(3(1(2(2(0(2(1(z0)))))))), 3'(1(2(2(0(2(1(z0))))))), 1'(2(2(0(2(1(z0)))))), 2'(2(0(2(1(z0))))), 2'(0(2(1(z0)))), 0'(2(1(z0))), 2'(1(z0)), 1'(z0))
   0'(c_3(c_2(c_0(c_3(c_1(c_0(c_1(c_0(c_3(c_0(c_3(c_0(c_0(c_3(c_0(c_0(c_0(z0)))))))))))))))))) -> c13(0'(3(0(0(0(0(1(2(0(3(3(0(0(3(0(1(3(0(z0)))))))))))))))))), 3'(0(0(0(0(1(2(0(3(3(0(0(3(0(1(3(0(z0))))))))))))))))), 0'(0(0(0(1(2(0(3(3(0(0(3(0(1(3(0(z0)))))))))))))))), 0'(0(0(1(2(0(3(3(0(0(3(0(1(3(0(z0))))))))))))))), 0'(0(1(2(0(3(3(0(0(3(0(1(3(0(z0)))))))))))))), 0'(1(2(0(3(3(0(0(3(0(1(3(0(z0))))))))))))), 1'(2(0(3(3(0(0(3(0(1(3(0(z0)))))))))))), 2'(0(3(3(0(0(3(0(1(3(0(z0))))))))))), 0'(3(3(0(0(3(0(1(3(0(z0)))))))))), 3'(3(0(0(3(0(1(3(0(z0))))))))), 3'(0(0(3(0(1(3(0(z0)))))))), 0'(0(3(0(1(3(0(z0))))))), 0'(3(0(1(3(0(z0)))))), 3'(0(1(3(0(z0))))), 0'(1(3(0(z0)))), 1'(3(0(z0))), 3'(0(z0)), 0'(z0))
   0'(c_1(c_2(c_3(c_2(c_1(c_0(c_1(c_2(c_2(c_0(c_0(c_1(c_0(c_3(c_1(c_0(c_1(z0)))))))))))))))))) -> c14(0'(2(1(1(1(0(2(2(0(0(1(1(0(3(0(1(3(2(z0)))))))))))))))))), 2'(1(1(1(0(2(2(0(0(1(1(0(3(0(1(3(2(z0))))))))))))))))), 1'(1(1(0(2(2(0(0(1(1(0(3(0(1(3(2(z0)))))))))))))))), 1'(1(0(2(2(0(0(1(1(0(3(0(1(3(2(z0))))))))))))))), 1'(0(2(2(0(0(1(1(0(3(0(1(3(2(z0)))))))))))))), 0'(2(2(0(0(1(1(0(3(0(1(3(2(z0))))))))))))), 2'(2(0(0(1(1(0(3(0(1(3(2(z0)))))))))))), 2'(0(0(1(1(0(3(0(1(3(2(z0))))))))))), 0'(0(1(1(0(3(0(1(3(2(z0)))))))))), 0'(1(1(0(3(0(1(3(2(z0))))))))), 1'(1(0(3(0(1(3(2(z0)))))))), 1'(0(3(0(1(3(2(z0))))))), 0'(3(0(1(3(2(z0)))))), 3'(0(1(3(2(z0))))), 0'(1(3(2(z0)))), 1'(3(2(z0))), 3'(2(z0)), 2'(z0))
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   1'(c_0(c_2(c_3(c_1(c_2(c_3(c_1(c_2(c_3(c_2(c_3(c_2(c_1(c_2(c_2(c_2(c_2(z0)))))))))))))))))) -> c49(2'(3(2(2(3(0(2(1(3(2(2(1(1(1(3(2(2(2(z0)))))))))))))))))), 3'(2(2(3(0(2(1(3(2(2(1(1(1(3(2(2(2(z0))))))))))))))))), 2'(2(3(0(2(1(3(2(2(1(1(1(3(2(2(2(z0)))))))))))))))), 2'(3(0(2(1(3(2(2(1(1(1(3(2(2(2(z0))))))))))))))), 3'(0(2(1(3(2(2(1(1(1(3(2(2(2(z0)))))))))))))), 0'(2(1(3(2(2(1(1(1(3(2(2(2(z0))))))))))))), 2'(1(3(2(2(1(1(1(3(2(2(2(z0)))))))))))), 1'(3(2(2(1(1(1(3(2(2(2(z0))))))))))), 3'(2(2(1(1(1(3(2(2(2(z0)))))))))), 2'(2(1(1(1(3(2(2(2(z0))))))))), 2'(1(1(1(3(2(2(2(z0)))))))), 1'(1(1(3(2(2(2(z0))))))), 1'(1(3(2(2(2(z0)))))), 1'(3(2(2(2(z0))))), 3'(2(2(2(z0)))), 2'(2(2(z0))), 2'(2(z0)), 2'(z0))
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   3'(c_0(c_1(c_0(c_1(c_2(c_3(c_3(c_1(c_2(c_3(c_2(c_1(c_1(c_1(c_3(c_3(c_0(z0)))))))))))))))))) -> c83(3'(0(1(2(1(3(3(1(3(0(1(3(1(2(0(1(3(2(z0)))))))))))))))))), 0'(1(2(1(3(3(1(3(0(1(3(1(2(0(1(3(2(z0))))))))))))))))), 1'(2(1(3(3(1(3(0(1(3(1(2(0(1(3(2(z0)))))))))))))))), 2'(1(3(3(1(3(0(1(3(1(2(0(1(3(2(z0))))))))))))))), 1'(3(3(1(3(0(1(3(1(2(0(1(3(2(z0)))))))))))))), 3'(3(1(3(0(1(3(1(2(0(1(3(2(z0))))))))))))), 3'(1(3(0(1(3(1(2(0(1(3(2(z0)))))))))))), 1'(3(0(1(3(1(2(0(1(3(2(z0))))))))))), 3'(0(1(3(1(2(0(1(3(2(z0)))))))))), 0'(1(3(1(2(0(1(3(2(z0))))))))), 1'(3(1(2(0(1(3(2(z0)))))))), 3'(1(2(0(1(3(2(z0))))))), 1'(2(0(1(3(2(z0)))))), 2'(0(1(3(2(z0))))), 0'(1(3(2(z0)))), 1'(3(2(z0))), 3'(2(z0)), 2'(z0))
   3'(c_1(c_2(c_3(c_2(c_0(c_2(c_3(c_1(c_1(c_1(c_3(c_3(c_2(c_0(c_0(c_0(c_3(z0)))))))))))))))))) -> c84(3'(1(3(2(1(3(0(2(1(0(0(2(3(1(2(3(3(0(z0)))))))))))))))))), 1'(3(2(1(3(0(2(1(0(0(2(3(1(2(3(3(0(z0))))))))))))))))), 3'(2(1(3(0(2(1(0(0(2(3(1(2(3(3(0(z0)))))))))))))))), 2'(1(3(0(2(1(0(0(2(3(1(2(3(3(0(z0))))))))))))))), 1'(3(0(2(1(0(0(2(3(1(2(3(3(0(z0)))))))))))))), 3'(0(2(1(0(0(2(3(1(2(3(3(0(z0))))))))))))), 0'(2(1(0(0(2(3(1(2(3(3(0(z0)))))))))))), 2'(1(0(0(2(3(1(2(3(3(0(z0))))))))))), 1'(0(0(2(3(1(2(3(3(0(z0)))))))))), 0'(0(2(3(1(2(3(3(0(z0))))))))), 0'(2(3(1(2(3(3(0(z0)))))))), 2'(3(1(2(3(3(0(z0))))))), 3'(1(2(3(3(0(z0)))))), 1'(2(3(3(0(z0))))), 2'(3(3(0(z0)))), 3'(3(0(z0))), 3'(0(z0)), 0'(z0))
   3'(c_2(c_3(c_2(c_2(c_0(c_3(c_3(c_2(c_0(c_1(c_0(c_0(c_2(c_0(c_1(c_1(c_1(z0)))))))))))))))))) -> c85(3'(0(1(3(2(0(3(0(1(2(3(0(2(0(2(2(1(1(z0)))))))))))))))))), 0'(1(3(2(0(3(0(1(2(3(0(2(0(2(2(1(1(z0))))))))))))))))), 1'(3(2(0(3(0(1(2(3(0(2(0(2(2(1(1(z0)))))))))))))))), 3'(2(0(3(0(1(2(3(0(2(0(2(2(1(1(z0))))))))))))))), 2'(0(3(0(1(2(3(0(2(0(2(2(1(1(z0)))))))))))))), 0'(3(0(1(2(3(0(2(0(2(2(1(1(z0))))))))))))), 3'(0(1(2(3(0(2(0(2(2(1(1(z0)))))))))))), 0'(1(2(3(0(2(0(2(2(1(1(z0))))))))))), 1'(2(3(0(2(0(2(2(1(1(z0)))))))))), 2'(3(0(2(0(2(2(1(1(z0))))))))), 3'(0(2(0(2(2(1(1(z0)))))))), 0'(2(0(2(2(1(1(z0))))))), 2'(0(2(2(1(1(z0)))))), 0'(2(2(1(1(z0))))), 2'(2(1(1(z0)))), 2'(1(1(z0))), 1'(1(z0)), 1'(z0))
   3'(c_3(c_1(c_2(c_2(c_2(c_3(c_3(c_3(c_1(c_3(c_0(c_1(c_1(c_1(c_2(c_1(c_0(z0)))))))))))))))))) -> c86(3'(3(3(1(2(3(1(3(0(2(2(1(3(0(2(1(1(1(z0)))))))))))))))))), 3'(3(1(2(3(1(3(0(2(2(1(3(0(2(1(1(1(z0))))))))))))))))), 3'(1(2(3(1(3(0(2(2(1(3(0(2(1(1(1(z0)))))))))))))))), 1'(2(3(1(3(0(2(2(1(3(0(2(1(1(1(z0))))))))))))))), 2'(3(1(3(0(2(2(1(3(0(2(1(1(1(z0)))))))))))))), 3'(1(3(0(2(2(1(3(0(2(1(1(1(z0))))))))))))), 1'(3(0(2(2(1(3(0(2(1(1(1(z0)))))))))))), 3'(0(2(2(1(3(0(2(1(1(1(z0))))))))))), 0'(2(2(1(3(0(2(1(1(1(z0)))))))))), 2'(2(1(3(0(2(1(1(1(z0))))))))), 2'(1(3(0(2(1(1(1(z0)))))))), 1'(3(0(2(1(1(1(z0))))))), 3'(0(2(1(1(1(z0)))))), 0'(2(1(1(1(z0))))), 2'(1(1(1(z0)))), 1'(1(1(z0))), 1'(1(z0)), 1'(z0))
   3'(c_1(c_1(c_0(c_3(c_0(c_1(c_1(c_3(c_2(c_1(c_2(c_3(c_3(c_1(c_3(c_3(c_1(z0)))))))))))))))))) -> c87(3'(1(3(2(1(1(1(3(3(0(3(2(1(3(0(1(3(1(z0)))))))))))))))))), 1'(3(2(1(1(1(3(3(0(3(2(1(3(0(1(3(1(z0))))))))))))))))), 3'(2(1(1(1(3(3(0(3(2(1(3(0(1(3(1(z0)))))))))))))))), 2'(1(1(1(3(3(0(3(2(1(3(0(1(3(1(z0))))))))))))))), 1'(1(1(3(3(0(3(2(1(3(0(1(3(1(z0)))))))))))))), 1'(1(3(3(0(3(2(1(3(0(1(3(1(z0))))))))))))), 1'(3(3(0(3(2(1(3(0(1(3(1(z0)))))))))))), 3'(3(0(3(2(1(3(0(1(3(1(z0))))))))))), 3'(0(3(2(1(3(0(1(3(1(z0)))))))))), 0'(3(2(1(3(0(1(3(1(z0))))))))), 3'(2(1(3(0(1(3(1(z0)))))))), 2'(1(3(0(1(3(1(z0))))))), 1'(3(0(1(3(1(z0)))))), 3'(0(1(3(1(z0))))), 0'(1(3(1(z0)))), 1'(3(1(z0))), 3'(1(z0)), 1'(z0))
   3'(c_3(c_0(c_1(c_0(c_3(c_2(c_0(c_1(c_1(c_1(c_1(c_3(c_1(c_2(c_3(c_3(c_3(z0)))))))))))))))))) -> c88(3'(2(3(1(1(1(0(3(3(0(2(1(3(0(1(3(1(3(z0)))))))))))))))))), 2'(3(1(1(1(0(3(3(0(2(1(3(0(1(3(1(3(z0))))))))))))))))), 3'(1(1(1(0(3(3(0(2(1(3(0(1(3(1(3(z0)))))))))))))))), 1'(1(1(0(3(3(0(2(1(3(0(1(3(1(3(z0))))))))))))))), 1'(1(0(3(3(0(2(1(3(0(1(3(1(3(z0)))))))))))))), 1'(0(3(3(0(2(1(3(0(1(3(1(3(z0))))))))))))), 0'(3(3(0(2(1(3(0(1(3(1(3(z0)))))))))))), 3'(3(0(2(1(3(0(1(3(1(3(z0))))))))))), 3'(0(2(1(3(0(1(3(1(3(z0)))))))))), 0'(2(1(3(0(1(3(1(3(z0))))))))), 2'(1(3(0(1(3(1(3(z0)))))))), 1'(3(0(1(3(1(3(z0))))))), 3'(0(1(3(1(3(z0)))))), 0'(1(3(1(3(z0))))), 1'(3(1(3(z0)))), 3'(1(3(z0))), 1'(3(z0)), 3'(z0))
   3'(c_3(c_1(c_0(c_3(c_2(c_3(c_0(c_3(c_1(c_0(c_2(c_0(c_3(c_0(c_2(c_2(c_0(z0)))))))))))))))))) -> c89(3'(3(3(2(0(3(0(3(0(1(0(0(1(3(0(2(2(2(z0)))))))))))))))))), 3'(3(2(0(3(0(3(0(1(0(0(1(3(0(2(2(2(z0))))))))))))))))), 3'(2(0(3(0(3(0(1(0(0(1(3(0(2(2(2(z0)))))))))))))))), 2'(0(3(0(3(0(1(0(0(1(3(0(2(2(2(z0))))))))))))))), 0'(3(0(3(0(1(0(0(1(3(0(2(2(2(z0)))))))))))))), 3'(0(3(0(1(0(0(1(3(0(2(2(2(z0))))))))))))), 0'(3(0(1(0(0(1(3(0(2(2(2(z0)))))))))))), 3'(0(1(0(0(1(3(0(2(2(2(z0))))))))))), 0'(1(0(0(1(3(0(2(2(2(z0)))))))))), 1'(0(0(1(3(0(2(2(2(z0))))))))), 0'(0(1(3(0(2(2(2(z0)))))))), 0'(1(3(0(2(2(2(z0))))))), 1'(3(0(2(2(2(z0)))))), 3'(0(2(2(2(z0))))), 0'(2(2(2(z0)))), 2'(2(2(z0))), 2'(2(z0)), 2'(z0))
   3'(c_1(c_2(c_0(c_3(c_2(c_2(c_3(c_2(c_0(c_3(c_3(c_2(c_3(c_3(c_1(c_1(c_3(z0)))))))))))))))))) -> c90(3'(2(2(3(1(3(3(2(1(3(3(0(2(0(2(3(1(3(z0)))))))))))))))))), 2'(2(3(1(3(3(2(1(3(3(0(2(0(2(3(1(3(z0))))))))))))))))), 2'(3(1(3(3(2(1(3(3(0(2(0(2(3(1(3(z0)))))))))))))))), 3'(1(3(3(2(1(3(3(0(2(0(2(3(1(3(z0))))))))))))))), 1'(3(3(2(1(3(3(0(2(0(2(3(1(3(z0)))))))))))))), 3'(3(2(1(3(3(0(2(0(2(3(1(3(z0))))))))))))), 3'(2(1(3(3(0(2(0(2(3(1(3(z0)))))))))))), 2'(1(3(3(0(2(0(2(3(1(3(z0))))))))))), 1'(3(3(0(2(0(2(3(1(3(z0)))))))))), 3'(3(0(2(0(2(3(1(3(z0))))))))), 3'(0(2(0(2(3(1(3(z0)))))))), 0'(2(0(2(3(1(3(z0))))))), 2'(0(2(3(1(3(z0)))))), 0'(2(3(1(3(z0))))), 2'(3(1(3(z0)))), 3'(1(3(z0))), 1'(3(z0)), 3'(z0))
   3'(c_2(c_0(c_1(c_2(c_1(c_0(c_3(c_3(c_3(c_3(c_1(c_2(c_1(c_1(c_0(c_1(c_0(z0)))))))))))))))))) -> c91(3'(0(0(2(1(3(2(3(3(1(1(3(1(1(0(2(0(1(z0)))))))))))))))))), 0'(0(2(1(3(2(3(3(1(1(3(1(1(0(2(0(1(z0))))))))))))))))), 0'(2(1(3(2(3(3(1(1(3(1(1(0(2(0(1(z0)))))))))))))))), 2'(1(3(2(3(3(1(1(3(1(1(0(2(0(1(z0))))))))))))))), 1'(3(2(3(3(1(1(3(1(1(0(2(0(1(z0)))))))))))))), 3'(2(3(3(1(1(3(1(1(0(2(0(1(z0))))))))))))), 2'(3(3(1(1(3(1(1(0(2(0(1(z0)))))))))))), 3'(3(1(1(3(1(1(0(2(0(1(z0))))))))))), 3'(1(1(3(1(1(0(2(0(1(z0)))))))))), 1'(1(3(1(1(0(2(0(1(z0))))))))), 1'(3(1(1(0(2(0(1(z0)))))))), 3'(1(1(0(2(0(1(z0))))))), 1'(1(0(2(0(1(z0)))))), 1'(0(2(0(1(z0))))), 0'(2(0(1(z0)))), 2'(0(1(z0))), 0'(1(z0)), 1'(z0))
S tuples:
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   0'(c_1(c_0(c_2(c_1(c_1(c_0(c_0(c_1(c_0(c_3(c_1(c_1(c_0(c_2(c_1(c_2(c_3(z0)))))))))))))))))) -> c10(0'(1(2(0(0(2(1(1(0(1(1(1(0(1(3(0(2(3(z0)))))))))))))))))), 1'(2(0(0(2(1(1(0(1(1(1(0(1(3(0(2(3(z0))))))))))))))))), 2'(0(0(2(1(1(0(1(1(1(0(1(3(0(2(3(z0)))))))))))))))), 0'(0(2(1(1(0(1(1(1(0(1(3(0(2(3(z0))))))))))))))), 0'(2(1(1(0(1(1(1(0(1(3(0(2(3(z0)))))))))))))), 2'(1(1(0(1(1(1(0(1(3(0(2(3(z0))))))))))))), 1'(1(0(1(1(1(0(1(3(0(2(3(z0)))))))))))), 1'(0(1(1(1(0(1(3(0(2(3(z0))))))))))), 0'(1(1(1(0(1(3(0(2(3(z0)))))))))), 1'(1(1(0(1(3(0(2(3(z0))))))))), 1'(1(0(1(3(0(2(3(z0)))))))), 1'(0(1(3(0(2(3(z0))))))), 0'(1(3(0(2(3(z0)))))), 1'(3(0(2(3(z0))))), 3'(0(2(3(z0)))), 0'(2(3(z0))), 2'(3(z0)), 3'(z0))
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   1'(c_3(c_3(c_0(c_1(c_1(c_3(c_2(c_2(c_1(c_1(c_0(c_3(c_1(c_2(c_1(c_0(c_0(z0)))))))))))))))))) -> c46(1'(3(1(1(0(0(1(1(2(1(3(0(2(3(1(0(2(3(z0)))))))))))))))))), 3'(1(1(0(0(1(1(2(1(3(0(2(3(1(0(2(3(z0))))))))))))))))), 1'(1(0(0(1(1(2(1(3(0(2(3(1(0(2(3(z0)))))))))))))))), 1'(0(0(1(1(2(1(3(0(2(3(1(0(2(3(z0))))))))))))))), 0'(0(1(1(2(1(3(0(2(3(1(0(2(3(z0)))))))))))))), 0'(1(1(2(1(3(0(2(3(1(0(2(3(z0))))))))))))), 1'(1(2(1(3(0(2(3(1(0(2(3(z0)))))))))))), 1'(2(1(3(0(2(3(1(0(2(3(z0))))))))))), 2'(1(3(0(2(3(1(0(2(3(z0)))))))))), 1'(3(0(2(3(1(0(2(3(z0))))))))), 3'(0(2(3(1(0(2(3(z0)))))))), 0'(2(3(1(0(2(3(z0))))))), 2'(3(1(0(2(3(z0)))))), 3'(1(0(2(3(z0))))), 1'(0(2(3(z0)))), 0'(2(3(z0))), 2'(3(z0)), 3'(z0))
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   2'(c_0(c_0(c_3(c_1(c_2(c_3(c_2(c_0(c_2(c_3(c_0(c_1(c_2(c_2(c_0(c_0(c_2(z0)))))))))))))))))) -> c78(2'(0(2(3(1(3(0(0(3(2(0(1(0(2(0(2(2(2(z0)))))))))))))))))), 0'(2(3(1(3(0(0(3(2(0(1(0(2(0(2(2(2(z0))))))))))))))))), 2'(3(1(3(0(0(3(2(0(1(0(2(0(2(2(2(z0)))))))))))))))), 3'(1(3(0(0(3(2(0(1(0(2(0(2(2(2(z0))))))))))))))), 1'(3(0(0(3(2(0(1(0(2(0(2(2(2(z0)))))))))))))), 3'(0(0(3(2(0(1(0(2(0(2(2(2(z0))))))))))))), 0'(0(3(2(0(1(0(2(0(2(2(2(z0)))))))))))), 0'(3(2(0(1(0(2(0(2(2(2(z0))))))))))), 3'(2(0(1(0(2(0(2(2(2(z0)))))))))), 2'(0(1(0(2(0(2(2(2(z0))))))))), 0'(1(0(2(0(2(2(2(z0)))))))), 1'(0(2(0(2(2(2(z0))))))), 0'(2(0(2(2(2(z0)))))), 2'(0(2(2(2(z0))))), 0'(2(2(2(z0)))), 2'(2(2(z0))), 2'(2(z0)), 2'(z0))
   2'(c_2(c_1(c_1(c_2(c_3(c_1(c_2(c_1(c_3(c_1(c_0(c_2(c_2(c_0(c_3(c_1(c_1(z0)))))))))))))))))) -> c79(2'(2(1(2(3(1(1(3(1(2(2(1(0(0(2(1(3(1(z0)))))))))))))))))), 2'(1(2(3(1(1(3(1(2(2(1(0(0(2(1(3(1(z0))))))))))))))))), 1'(2(3(1(1(3(1(2(2(1(0(0(2(1(3(1(z0)))))))))))))))), 2'(3(1(1(3(1(2(2(1(0(0(2(1(3(1(z0))))))))))))))), 3'(1(1(3(1(2(2(1(0(0(2(1(3(1(z0)))))))))))))), 1'(1(3(1(2(2(1(0(0(2(1(3(1(z0))))))))))))), 1'(3(1(2(2(1(0(0(2(1(3(1(z0)))))))))))), 3'(1(2(2(1(0(0(2(1(3(1(z0))))))))))), 1'(2(2(1(0(0(2(1(3(1(z0)))))))))), 2'(2(1(0(0(2(1(3(1(z0))))))))), 2'(1(0(0(2(1(3(1(z0)))))))), 1'(0(0(2(1(3(1(z0))))))), 0'(0(2(1(3(1(z0)))))), 0'(2(1(3(1(z0))))), 2'(1(3(1(z0)))), 1'(3(1(z0))), 3'(1(z0)), 1'(z0))
   3'(c_1(c_0(c_0(c_3(c_0(c_3(c_2(c_3(c_2(c_3(c_0(c_1(c_0(c_1(c_1(c_2(c_3(z0)))))))))))))))))) -> c81(3'(0(1(3(2(3(3(1(1(0(2(0(0(3(1(3(0(2(z0)))))))))))))))))), 0'(1(3(2(3(3(1(1(0(2(0(0(3(1(3(0(2(z0))))))))))))))))), 1'(3(2(3(3(1(1(0(2(0(0(3(1(3(0(2(z0)))))))))))))))), 3'(2(3(3(1(1(0(2(0(0(3(1(3(0(2(z0))))))))))))))), 2'(3(3(1(1(0(2(0(0(3(1(3(0(2(z0)))))))))))))), 3'(3(1(1(0(2(0(0(3(1(3(0(2(z0))))))))))))), 3'(1(1(0(2(0(0(3(1(3(0(2(z0)))))))))))), 1'(1(0(2(0(0(3(1(3(0(2(z0))))))))))), 1'(0(2(0(0(3(1(3(0(2(z0)))))))))), 0'(2(0(0(3(1(3(0(2(z0))))))))), 2'(0(0(3(1(3(0(2(z0)))))))), 0'(0(3(1(3(0(2(z0))))))), 0'(3(1(3(0(2(z0)))))), 3'(1(3(0(2(z0))))), 1'(3(0(2(z0)))), 3'(0(2(z0))), 0'(2(z0)), 2'(z0))
   3'(c_0(c_3(c_1(c_0(c_1(c_0(c_3(c_3(c_1(c_0(c_3(c_2(c_3(c_3(c_2(c_0(c_3(z0)))))))))))))))))) -> c82(1'(3(0(2(0(0(3(3(2(1(3(0(3(3(1(3(3(0(z0)))))))))))))))))), 3'(0(2(0(0(3(3(2(1(3(0(3(3(1(3(3(0(z0))))))))))))))))), 0'(2(0(0(3(3(2(1(3(0(3(3(1(3(3(0(z0)))))))))))))))), 2'(0(0(3(3(2(1(3(0(3(3(1(3(3(0(z0))))))))))))))), 0'(0(3(3(2(1(3(0(3(3(1(3(3(0(z0)))))))))))))), 0'(3(3(2(1(3(0(3(3(1(3(3(0(z0))))))))))))), 3'(3(2(1(3(0(3(3(1(3(3(0(z0)))))))))))), 3'(2(1(3(0(3(3(1(3(3(0(z0))))))))))), 2'(1(3(0(3(3(1(3(3(0(z0)))))))))), 1'(3(0(3(3(1(3(3(0(z0))))))))), 3'(0(3(3(1(3(3(0(z0)))))))), 0'(3(3(1(3(3(0(z0))))))), 3'(3(1(3(3(0(z0)))))), 3'(1(3(3(0(z0))))), 1'(3(3(0(z0)))), 3'(3(0(z0))), 3'(0(z0)), 0'(z0))
   3'(c_0(c_1(c_0(c_1(c_2(c_3(c_3(c_1(c_2(c_3(c_2(c_1(c_1(c_1(c_3(c_3(c_0(z0)))))))))))))))))) -> c83(3'(0(1(2(1(3(3(1(3(0(1(3(1(2(0(1(3(2(z0)))))))))))))))))), 0'(1(2(1(3(3(1(3(0(1(3(1(2(0(1(3(2(z0))))))))))))))))), 1'(2(1(3(3(1(3(0(1(3(1(2(0(1(3(2(z0)))))))))))))))), 2'(1(3(3(1(3(0(1(3(1(2(0(1(3(2(z0))))))))))))))), 1'(3(3(1(3(0(1(3(1(2(0(1(3(2(z0)))))))))))))), 3'(3(1(3(0(1(3(1(2(0(1(3(2(z0))))))))))))), 3'(1(3(0(1(3(1(2(0(1(3(2(z0)))))))))))), 1'(3(0(1(3(1(2(0(1(3(2(z0))))))))))), 3'(0(1(3(1(2(0(1(3(2(z0)))))))))), 0'(1(3(1(2(0(1(3(2(z0))))))))), 1'(3(1(2(0(1(3(2(z0)))))))), 3'(1(2(0(1(3(2(z0))))))), 1'(2(0(1(3(2(z0)))))), 2'(0(1(3(2(z0))))), 0'(1(3(2(z0)))), 1'(3(2(z0))), 3'(2(z0)), 2'(z0))
   3'(c_1(c_2(c_3(c_2(c_0(c_2(c_3(c_1(c_1(c_1(c_3(c_3(c_2(c_0(c_0(c_0(c_3(z0)))))))))))))))))) -> c84(3'(1(3(2(1(3(0(2(1(0(0(2(3(1(2(3(3(0(z0)))))))))))))))))), 1'(3(2(1(3(0(2(1(0(0(2(3(1(2(3(3(0(z0))))))))))))))))), 3'(2(1(3(0(2(1(0(0(2(3(1(2(3(3(0(z0)))))))))))))))), 2'(1(3(0(2(1(0(0(2(3(1(2(3(3(0(z0))))))))))))))), 1'(3(0(2(1(0(0(2(3(1(2(3(3(0(z0)))))))))))))), 3'(0(2(1(0(0(2(3(1(2(3(3(0(z0))))))))))))), 0'(2(1(0(0(2(3(1(2(3(3(0(z0)))))))))))), 2'(1(0(0(2(3(1(2(3(3(0(z0))))))))))), 1'(0(0(2(3(1(2(3(3(0(z0)))))))))), 0'(0(2(3(1(2(3(3(0(z0))))))))), 0'(2(3(1(2(3(3(0(z0)))))))), 2'(3(1(2(3(3(0(z0))))))), 3'(1(2(3(3(0(z0)))))), 1'(2(3(3(0(z0))))), 2'(3(3(0(z0)))), 3'(3(0(z0))), 3'(0(z0)), 0'(z0))
   3'(c_2(c_3(c_2(c_2(c_0(c_3(c_3(c_2(c_0(c_1(c_0(c_0(c_2(c_0(c_1(c_1(c_1(z0)))))))))))))))))) -> c85(3'(0(1(3(2(0(3(0(1(2(3(0(2(0(2(2(1(1(z0)))))))))))))))))), 0'(1(3(2(0(3(0(1(2(3(0(2(0(2(2(1(1(z0))))))))))))))))), 1'(3(2(0(3(0(1(2(3(0(2(0(2(2(1(1(z0)))))))))))))))), 3'(2(0(3(0(1(2(3(0(2(0(2(2(1(1(z0))))))))))))))), 2'(0(3(0(1(2(3(0(2(0(2(2(1(1(z0)))))))))))))), 0'(3(0(1(2(3(0(2(0(2(2(1(1(z0))))))))))))), 3'(0(1(2(3(0(2(0(2(2(1(1(z0)))))))))))), 0'(1(2(3(0(2(0(2(2(1(1(z0))))))))))), 1'(2(3(0(2(0(2(2(1(1(z0)))))))))), 2'(3(0(2(0(2(2(1(1(z0))))))))), 3'(0(2(0(2(2(1(1(z0)))))))), 0'(2(0(2(2(1(1(z0))))))), 2'(0(2(2(1(1(z0)))))), 0'(2(2(1(1(z0))))), 2'(2(1(1(z0)))), 2'(1(1(z0))), 1'(1(z0)), 1'(z0))
   3'(c_3(c_1(c_2(c_2(c_2(c_3(c_3(c_3(c_1(c_3(c_0(c_1(c_1(c_1(c_2(c_1(c_0(z0)))))))))))))))))) -> c86(3'(3(3(1(2(3(1(3(0(2(2(1(3(0(2(1(1(1(z0)))))))))))))))))), 3'(3(1(2(3(1(3(0(2(2(1(3(0(2(1(1(1(z0))))))))))))))))), 3'(1(2(3(1(3(0(2(2(1(3(0(2(1(1(1(z0)))))))))))))))), 1'(2(3(1(3(0(2(2(1(3(0(2(1(1(1(z0))))))))))))))), 2'(3(1(3(0(2(2(1(3(0(2(1(1(1(z0)))))))))))))), 3'(1(3(0(2(2(1(3(0(2(1(1(1(z0))))))))))))), 1'(3(0(2(2(1(3(0(2(1(1(1(z0)))))))))))), 3'(0(2(2(1(3(0(2(1(1(1(z0))))))))))), 0'(2(2(1(3(0(2(1(1(1(z0)))))))))), 2'(2(1(3(0(2(1(1(1(z0))))))))), 2'(1(3(0(2(1(1(1(z0)))))))), 1'(3(0(2(1(1(1(z0))))))), 3'(0(2(1(1(1(z0)))))), 0'(2(1(1(1(z0))))), 2'(1(1(1(z0)))), 1'(1(1(z0))), 1'(1(z0)), 1'(z0))
   3'(c_1(c_1(c_0(c_3(c_0(c_1(c_1(c_3(c_2(c_1(c_2(c_3(c_3(c_1(c_3(c_3(c_1(z0)))))))))))))))))) -> c87(3'(1(3(2(1(1(1(3(3(0(3(2(1(3(0(1(3(1(z0)))))))))))))))))), 1'(3(2(1(1(1(3(3(0(3(2(1(3(0(1(3(1(z0))))))))))))))))), 3'(2(1(1(1(3(3(0(3(2(1(3(0(1(3(1(z0)))))))))))))))), 2'(1(1(1(3(3(0(3(2(1(3(0(1(3(1(z0))))))))))))))), 1'(1(1(3(3(0(3(2(1(3(0(1(3(1(z0)))))))))))))), 1'(1(3(3(0(3(2(1(3(0(1(3(1(z0))))))))))))), 1'(3(3(0(3(2(1(3(0(1(3(1(z0)))))))))))), 3'(3(0(3(2(1(3(0(1(3(1(z0))))))))))), 3'(0(3(2(1(3(0(1(3(1(z0)))))))))), 0'(3(2(1(3(0(1(3(1(z0))))))))), 3'(2(1(3(0(1(3(1(z0)))))))), 2'(1(3(0(1(3(1(z0))))))), 1'(3(0(1(3(1(z0)))))), 3'(0(1(3(1(z0))))), 0'(1(3(1(z0)))), 1'(3(1(z0))), 3'(1(z0)), 1'(z0))
   3'(c_3(c_0(c_1(c_0(c_3(c_2(c_0(c_1(c_1(c_1(c_1(c_3(c_1(c_2(c_3(c_3(c_3(z0)))))))))))))))))) -> c88(3'(2(3(1(1(1(0(3(3(0(2(1(3(0(1(3(1(3(z0)))))))))))))))))), 2'(3(1(1(1(0(3(3(0(2(1(3(0(1(3(1(3(z0))))))))))))))))), 3'(1(1(1(0(3(3(0(2(1(3(0(1(3(1(3(z0)))))))))))))))), 1'(1(1(0(3(3(0(2(1(3(0(1(3(1(3(z0))))))))))))))), 1'(1(0(3(3(0(2(1(3(0(1(3(1(3(z0)))))))))))))), 1'(0(3(3(0(2(1(3(0(1(3(1(3(z0))))))))))))), 0'(3(3(0(2(1(3(0(1(3(1(3(z0)))))))))))), 3'(3(0(2(1(3(0(1(3(1(3(z0))))))))))), 3'(0(2(1(3(0(1(3(1(3(z0)))))))))), 0'(2(1(3(0(1(3(1(3(z0))))))))), 2'(1(3(0(1(3(1(3(z0)))))))), 1'(3(0(1(3(1(3(z0))))))), 3'(0(1(3(1(3(z0)))))), 0'(1(3(1(3(z0))))), 1'(3(1(3(z0)))), 3'(1(3(z0))), 1'(3(z0)), 3'(z0))
   3'(c_3(c_1(c_0(c_3(c_2(c_3(c_0(c_3(c_1(c_0(c_2(c_0(c_3(c_0(c_2(c_2(c_0(z0)))))))))))))))))) -> c89(3'(3(3(2(0(3(0(3(0(1(0(0(1(3(0(2(2(2(z0)))))))))))))))))), 3'(3(2(0(3(0(3(0(1(0(0(1(3(0(2(2(2(z0))))))))))))))))), 3'(2(0(3(0(3(0(1(0(0(1(3(0(2(2(2(z0)))))))))))))))), 2'(0(3(0(3(0(1(0(0(1(3(0(2(2(2(z0))))))))))))))), 0'(3(0(3(0(1(0(0(1(3(0(2(2(2(z0)))))))))))))), 3'(0(3(0(1(0(0(1(3(0(2(2(2(z0))))))))))))), 0'(3(0(1(0(0(1(3(0(2(2(2(z0)))))))))))), 3'(0(1(0(0(1(3(0(2(2(2(z0))))))))))), 0'(1(0(0(1(3(0(2(2(2(z0)))))))))), 1'(0(0(1(3(0(2(2(2(z0))))))))), 0'(0(1(3(0(2(2(2(z0)))))))), 0'(1(3(0(2(2(2(z0))))))), 1'(3(0(2(2(2(z0)))))), 3'(0(2(2(2(z0))))), 0'(2(2(2(z0)))), 2'(2(2(z0))), 2'(2(z0)), 2'(z0))
   3'(c_1(c_2(c_0(c_3(c_2(c_2(c_3(c_2(c_0(c_3(c_3(c_2(c_3(c_3(c_1(c_1(c_3(z0)))))))))))))))))) -> c90(3'(2(2(3(1(3(3(2(1(3(3(0(2(0(2(3(1(3(z0)))))))))))))))))), 2'(2(3(1(3(3(2(1(3(3(0(2(0(2(3(1(3(z0))))))))))))))))), 2'(3(1(3(3(2(1(3(3(0(2(0(2(3(1(3(z0)))))))))))))))), 3'(1(3(3(2(1(3(3(0(2(0(2(3(1(3(z0))))))))))))))), 1'(3(3(2(1(3(3(0(2(0(2(3(1(3(z0)))))))))))))), 3'(3(2(1(3(3(0(2(0(2(3(1(3(z0))))))))))))), 3'(2(1(3(3(0(2(0(2(3(1(3(z0)))))))))))), 2'(1(3(3(0(2(0(2(3(1(3(z0))))))))))), 1'(3(3(0(2(0(2(3(1(3(z0)))))))))), 3'(3(0(2(0(2(3(1(3(z0))))))))), 3'(0(2(0(2(3(1(3(z0)))))))), 0'(2(0(2(3(1(3(z0))))))), 2'(0(2(3(1(3(z0)))))), 0'(2(3(1(3(z0))))), 2'(3(1(3(z0)))), 3'(1(3(z0))), 1'(3(z0)), 3'(z0))
   3'(c_2(c_0(c_1(c_2(c_1(c_0(c_3(c_3(c_3(c_3(c_1(c_2(c_1(c_1(c_0(c_1(c_0(z0)))))))))))))))))) -> c91(3'(0(0(2(1(3(2(3(3(1(1(3(1(1(0(2(0(1(z0)))))))))))))))))), 0'(0(2(1(3(2(3(3(1(1(3(1(1(0(2(0(1(z0))))))))))))))))), 0'(2(1(3(2(3(3(1(1(3(1(1(0(2(0(1(z0)))))))))))))))), 2'(1(3(2(3(3(1(1(3(1(1(0(2(0(1(z0))))))))))))))), 1'(3(2(3(3(1(1(3(1(1(0(2(0(1(z0)))))))))))))), 3'(2(3(3(1(1(3(1(1(0(2(0(1(z0))))))))))))), 2'(3(3(1(1(3(1(1(0(2(0(1(z0)))))))))))), 3'(3(1(1(3(1(1(0(2(0(1(z0))))))))))), 3'(1(1(3(1(1(0(2(0(1(z0)))))))))), 1'(1(3(1(1(0(2(0(1(z0))))))))), 1'(3(1(1(0(2(0(1(z0)))))))), 3'(1(1(0(2(0(1(z0))))))), 1'(1(0(2(0(1(z0)))))), 1'(0(2(0(1(z0))))), 0'(2(0(1(z0)))), 2'(0(1(z0))), 0'(1(z0)), 1'(z0))
K tuples:none
Defined Rule Symbols:   2_1, 1_1, 0_1, 3_1, encArg_1, encode_0_1, encode_2_1, encode_1_1, encode_3_1

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

Compound Symbols:   c_2, c1_2, c2_2, c3_2, c4_2, c5_2, c6_2, c7_2, c9_18, c10_18, c11_18, c12_18, c13_18, c14_18, c15_18, c16_18, c17_18, c18_18, c19_18, c21_18, c22_18, c23_18, c24_18, c25_18, c26_18, c27_18, c28_18, c29_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, c43_18, c44_18, c45_18, c46_18, c47_18, c48_18, c49_18, c50_18, c51_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_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, 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_2(z0) -> 2(encArg(z0))
   encode_1(z0) -> 1(encArg(z0))
   encode_3(z0) -> 3(encArg(z0))
   0(z0) -> c_0(z0)
   0(c_2(c_3(c_0(c_1(c_2(c_3(c_2(c_0(c_3(c_1(c_0(c_0(c_0(c_3(c_3(c_0(c_3(z0)))))))))))))))))) -> 0(2(1(3(0(0(3(3(0(1(0(2(2(3(3(0(0(3(z0))))))))))))))))))
   0(c_1(c_0(c_2(c_1(c_1(c_0(c_0(c_1(c_0(c_3(c_1(c_1(c_0(c_2(c_1(c_2(c_3(z0)))))))))))))))))) -> 0(1(2(0(0(2(1(1(0(1(1(1(0(1(3(0(2(3(z0))))))))))))))))))
   0(c_1(c_0(c_3(c_2(c_0(c_0(c_0(c_3(c_3(c_0(c_2(c_2(c_2(c_2(c_1(c_1(c_1(z0)))))))))))))))))) -> 0(0(1(1(3(0(3(0(0(2(2(2(0(2(2(1(3(1(z0))))))))))))))))))
   0(c_0(c_3(c_1(c_0(c_2(c_2(c_0(c_2(c_3(c_1(c_1(c_0(c_1(c_2(c_2(c_0(c_1(z0)))))))))))))))))) -> 0(2(1(1(3(0(0(0(1(0(2(3(1(2(2(0(2(1(z0))))))))))))))))))
   0(c_3(c_2(c_0(c_3(c_1(c_0(c_1(c_0(c_3(c_0(c_3(c_0(c_0(c_3(c_0(c_0(c_0(z0)))))))))))))))))) -> 0(3(0(0(0(0(1(2(0(3(3(0(0(3(0(1(3(0(z0))))))))))))))))))
   0(c_1(c_2(c_3(c_2(c_1(c_0(c_1(c_2(c_2(c_0(c_0(c_1(c_0(c_3(c_1(c_0(c_1(z0)))))))))))))))))) -> 0(2(1(1(1(0(2(2(0(0(1(1(0(3(0(1(3(2(z0))))))))))))))))))
   0(c_2(c_1(c_0(c_3(c_0(c_3(c_0(c_3(c_2(c_0(c_1(c_0(c_1(c_2(c_2(c_1(c_1(z0)))))))))))))))))) -> 0(2(3(0(3(2(2(1(2(1(1(0(0(3(0(0(1(1(z0))))))))))))))))))
   0(c_0(c_2(c_2(c_1(c_3(c_2(c_2(c_2(c_1(c_0(c_2(c_2(c_0(c_2(c_2(c_0(c_0(z0)))))))))))))))))) -> 0(2(2(2(2(1(3(0(0(2(1(0(2(2(2(2(0(0(z0))))))))))))))))))
   0(c_3(c_1(c_1(c_2(c_3(c_0(c_3(c_0(c_1(c_0(c_1(c_2(c_2(c_1(c_0(c_2(c_2(z0)))))))))))))))))) -> 0(0(1(3(0(0(2(2(2(3(2(1(1(1(1(0(3(2(z0))))))))))))))))))
   0(c_1(c_1(c_1(c_1(c_3(c_1(c_1(c_0(c_1(c_3(c_1(c_0(c_2(c_3(c_3(c_3(c_2(z0)))))))))))))))))) -> 0(2(0(1(3(1(1(3(1(0(1(3(2(1(3(1(1(3(z0))))))))))))))))))
   0(c_3(c_0(c_1(c_0(c_3(c_0(c_1(c_1(c_1(c_2(c_0(c_0(c_0(c_3(c_2(c_1(c_0(z0)))))))))))))))))) -> 0(0(2(2(1(3(0(0(1(3(0(1(0(1(0(0(1(3(z0))))))))))))))))))
   1(z0) -> c_1(z0)
   1(c_0(c_1(c_0(c_2(c_0(c_2(c_3(c_1(c_1(c_2(c_2(c_0(c_0(c_3(c_0(c_3(c_2(z0)))))))))))))))))) -> 0(0(0(1(1(3(1(3(2(0(0(2(2(1(3(0(2(2(z0))))))))))))))))))
   1(c_2(c_0(c_0(c_2(c_1(c_3(c_2(c_2(c_3(c_2(c_2(c_0(c_3(c_2(c_3(c_2(c_2(z0)))))))))))))))))) -> 1(2(0(3(2(2(2(2(3(0(0(2(2(2(3(1(3(2(z0))))))))))))))))))
   1(c_0(c_2(c_3(c_3(c_3(c_1(c_0(c_2(c_0(c_1(c_2(c_2(c_3(c_2(c_1(c_0(c_1(z0)))))))))))))))))) -> 2(3(2(1(0(1(3(1(3(0(2(3(0(2(0(1(2(1(z0))))))))))))))))))
   1(c_1(c_1(c_2(c_1(c_1(c_1(c_2(c_1(c_3(c_1(c_0(c_1(c_2(c_1(c_2(c_3(c_1(z0)))))))))))))))))) -> 1(1(1(1(1(1(3(0(2(2(1(1(1(2(3(1(2(1(z0))))))))))))))))))
   1(c_1(c_0(c_3(c_1(c_0(c_2(c_3(c_1(c_1(c_0(c_3(c_3(c_0(c_3(c_1(c_1(c_1(z0)))))))))))))))))) -> 1(1(3(1(3(2(3(0(1(0(3(0(1(3(1(0(1(1(z0))))))))))))))))))
   1(c_3(c_2(c_2(c_1(c_0(c_1(c_2(c_1(c_0(c_3(c_1(c_0(c_3(c_2(c_3(c_0(c_3(z0)))))))))))))))))) -> 3(1(3(2(1(1(0(0(2(0(0(3(1(3(2(2(1(3(z0))))))))))))))))))
   1(c_2(c_1(c_2(c_1(c_2(c_0(c_1(c_0(c_1(c_3(c_1(c_0(c_0(c_0(c_1(c_3(c_3(z0)))))))))))))))))) -> 1(1(2(2(1(0(1(3(0(1(1(3(0(2(1(3(0(0(z0))))))))))))))))))
   1(c_2(c_0(c_1(c_2(c_1(c_0(c_2(c_0(c_0(c_3(c_1(c_0(c_2(c_0(c_3(c_2(c_2(z0)))))))))))))))))) -> 1(1(0(0(0(2(1(0(2(0(3(2(2(1(0(2(3(2(z0))))))))))))))))))
   1(c_3(c_1(c_1(c_0(c_1(c_2(c_1(c_1(c_1(c_0(c_3(c_1(c_1(c_0(c_2(c_3(c_1(z0)))))))))))))))))) -> 1(1(3(2(1(3(1(1(0(0(1(3(2(1(0(1(1(1(z0))))))))))))))))))
   1(c_3(c_1(c_3(c_2(c_0(c_1(c_3(c_1(c_1(c_3(c_2(c_3(c_3(c_3(c_3(c_0(c_1(z0)))))))))))))))))) -> 1(3(3(3(1(2(3(1(3(0(2(1(1(3(0(3(3(1(z0))))))))))))))))))
   1(c_0(c_0(c_0(c_1(c_2(c_3(c_3(c_2(c_2(c_1(c_0(c_2(c_3(c_3(c_2(c_0(c_3(z0)))))))))))))))))) -> 3(0(2(1(1(3(3(1(0(0(2(0(2(2(3(2(0(3(z0))))))))))))))))))
   1(c_1(c_0(c_0(c_1(c_2(c_1(c_2(c_2(c_0(c_3(c_1(c_2(c_3(c_2(c_0(c_0(c_3(z0)))))))))))))))))) -> 1(2(2(0(2(1(0(2(1(0(0(2(3(0(1(1(3(3(z0))))))))))))))))))
   1(c_2(c_0(c_2(c_0(c_0(c_0(c_3(c_0(c_1(c_0(c_1(c_1(c_0(c_3(c_1(c_0(c_3(z0)))))))))))))))))) -> 1(3(0(3(1(1(0(1(1(0(0(0(2(2(3(0(0(0(z0))))))))))))))))))
   1(c_1(c_0(c_3(c_1(c_0(c_3(c_3(c_3(c_1(c_1(c_2(c_2(c_2(c_2(c_0(c_1(c_2(z0)))))))))))))))))) -> 2(1(1(0(0(1(1(2(3(3(3(0(1(2(3(2(1(2(z0))))))))))))))))))
   1(c_3(c_3(c_0(c_0(c_3(c_3(c_1(c_0(c_0(c_2(c_3(c_3(c_1(c_3(c_2(c_3(c_1(z0)))))))))))))))))) -> 1(3(0(0(1(3(0(1(3(3(2(2(3(3(3(3(0(1(z0))))))))))))))))))
   1(c_2(c_3(c_3(c_2(c_1(c_0(c_3(c_2(c_2(c_1(c_0(c_3(c_1(c_0(c_0(c_0(c_0(z0)))))))))))))))))) -> 0(3(0(1(2(1(3(0(1(0(2(1(2(3(3(0(2(0(z0))))))))))))))))))
   1(c_0(c_3(c_0(c_3(c_1(c_0(c_3(c_3(c_1(c_2(c_1(c_3(c_2(c_0(c_2(c_1(c_0(z0)))))))))))))))))) -> 2(2(1(3(0(0(1(3(1(0(2(0(0(3(3(3(1(1(z0))))))))))))))))))
   1(c_2(c_3(c_0(c_3(c_2(c_0(c_2(c_0(c_2(c_0(c_3(c_2(c_0(c_2(c_2(c_0(c_0(z0)))))))))))))))))) -> 1(2(2(2(0(3(3(0(0(2(0(0(0(2(2(2(3(0(z0))))))))))))))))))
   1(c_1(c_3(c_2(c_0(c_2(c_3(c_1(c_0(c_1(c_0(c_2(c_3(c_3(c_2(c_2(c_0(c_0(z0)))))))))))))))))) -> 2(0(2(3(2(0(2(0(1(2(1(3(0(1(3(0(1(3(z0))))))))))))))))))
   1(c_0(c_3(c_3(c_1(c_0(c_3(c_3(c_3(c_1(c_1(c_3(c_2(c_0(c_0(c_1(c_3(c_1(z0)))))))))))))))))) -> 1(3(3(0(1(3(3(0(1(3(3(0(1(3(2(1(0(1(z0))))))))))))))))))
   1(c_2(c_1(c_3(c_2(c_3(c_3(c_1(c_1(c_1(c_0(c_1(c_0(c_0(c_3(c_2(c_0(c_3(z0)))))))))))))))))) -> 1(3(3(2(3(0(2(1(3(1(1(3(1(2(1(0(0(0(z0))))))))))))))))))
   1(c_2(c_1(c_0(c_3(c_1(c_3(c_3(c_2(c_2(c_2(c_2(c_0(c_0(c_3(c_1(c_0(c_1(z0)))))))))))))))))) -> 3(1(2(0(1(3(2(3(2(2(0(0(0(2(3(1(1(1(z0))))))))))))))))))
   1(c_2(c_3(c_3(c_1(c_2(c_2(c_2(c_1(c_0(c_1(c_2(c_0(c_1(c_3(c_2(c_0(c_1(z0)))))))))))))))))) -> 3(3(0(0(2(0(2(2(1(1(1(3(1(2(2(1(2(1(z0))))))))))))))))))
   1(c_0(c_1(c_3(c_2(c_2(c_3(c_2(c_0(c_0(c_1(c_0(c_3(c_2(c_3(c_2(c_3(c_3(z0)))))))))))))))))) -> 1(3(3(1(2(2(0(3(0(0(1(3(0(2(2(3(2(3(z0))))))))))))))))))
   1(c_1(c_1(c_3(c_1(c_3(c_1(c_0(c_3(c_2(c_1(c_3(c_2(c_1(c_0(c_3(c_0(c_3(z0)))))))))))))))))) -> 1(2(2(3(0(1(3(1(1(3(0(0(1(3(1(1(3(3(z0))))))))))))))))))
   1(c_3(c_3(c_0(c_1(c_1(c_3(c_2(c_2(c_1(c_1(c_0(c_3(c_1(c_2(c_1(c_0(c_0(z0)))))))))))))))))) -> 1(3(1(1(0(0(1(1(2(1(3(0(2(3(1(0(2(3(z0))))))))))))))))))
   1(c_1(c_1(c_1(c_0(c_1(c_3(c_2(c_1(c_1(c_2(c_2(c_0(c_2(c_2(c_3(c_0(c_2(z0)))))))))))))))))) -> 1(1(1(2(3(0(2(2(1(1(1(2(3(0(1(2(0(2(z0))))))))))))))))))
   1(c_1(c_3(c_3(c_2(c_1(c_3(c_3(c_2(c_0(c_1(c_3(c_3(c_3(c_0(c_3(c_2(c_1(z0)))))))))))))))))) -> 1(3(1(3(0(3(3(3(1(3(3(2(3(1(2(0(2(1(z0))))))))))))))))))
   1(c_0(c_2(c_3(c_1(c_2(c_3(c_1(c_2(c_3(c_2(c_3(c_2(c_1(c_2(c_2(c_2(c_2(z0)))))))))))))))))) -> 2(3(2(2(3(0(2(1(3(2(2(1(1(1(3(2(2(2(z0))))))))))))))))))
   1(c_3(c_3(c_2(c_2(c_1(c_0(c_3(c_2(c_1(c_1(c_1(c_2(c_3(c_1(c_0(c_1(c_0(z0)))))))))))))))))) -> 2(0(1(2(1(2(1(3(1(1(3(0(3(2(1(3(0(1(z0))))))))))))))))))
   1(c_2(c_3(c_1(c_1(c_0(c_0(c_3(c_3(c_0(c_2(c_1(c_3(c_3(c_0(c_3(c_2(c_3(z0)))))))))))))))))) -> 3(1(3(0(2(3(3(1(3(0(2(1(2(0(0(1(3(3(z0))))))))))))))))))
   2(z0) -> c_2(z0)
   2(c_2(c_2(c_2(c_1(c_1(c_0(c_1(c_1(c_2(c_2(c_0(c_0(c_1(c_2(c_2(c_1(c_1(z0)))))))))))))))))) -> 0(2(1(2(0(2(0(2(2(1(2(2(2(1(1(1(1(1(z0))))))))))))))))))
   2(c_0(c_1(c_3(c_3(c_3(c_3(c_3(c_1(c_1(c_3(c_2(c_0(c_1(c_0(c_0(c_1(c_0(z0)))))))))))))))))) -> 1(3(0(2(1(1(3(0(2(3(0(0(3(1(3(3(1(0(z0))))))))))))))))))
   2(c_3(c_2(c_1(c_0(c_0(c_0(c_2(c_3(c_2(c_3(c_0(c_3(c_0(c_2(c_1(c_1(c_2(z0)))))))))))))))))) -> 2(2(3(0(3(0(2(1(0(2(2(0(1(3(1(3(0(2(z0))))))))))))))))))
   2(c_1(c_2(c_2(c_3(c_2(c_3(c_0(c_1(c_3(c_2(c_1(c_1(c_3(c_3(c_2(c_2(c_2(z0)))))))))))))))))) -> 2(1(1(1(3(2(3(2(2(3(0(2(3(2(1(3(2(2(z0))))))))))))))))))
   2(c_1(c_2(c_2(c_2(c_0(c_2(c_1(c_2(c_3(c_0(c_0(c_3(c_1(c_2(c_2(c_1(c_3(z0)))))))))))))))))) -> 0(2(0(2(1(3(2(2(1(3(2(2(1(3(0(2(1(2(z0))))))))))))))))))
   2(c_0(c_3(c_0(c_3(c_2(c_3(c_2(c_1(c_0(c_1(c_2(c_2(c_0(c_0(c_0(c_1(c_2(z0)))))))))))))))))) -> 0(2(2(1(2(0(1(2(0(3(0(0(2(1(3(0(3(2(z0))))))))))))))))))
   2(c_3(c_0(c_2(c_0(c_3(c_2(c_0(c_2(c_3(c_2(c_1(c_2(c_2(c_2(c_3(c_0(c_3(z0)))))))))))))))))) -> 2(3(2(3(3(0(0(2(2(2(1(3(2(0(2(3(2(0(z0))))))))))))))))))
   2(c_3(c_1(c_0(c_1(c_0(c_1(c_2(c_1(c_0(c_3(c_1(c_0(c_3(c_1(c_2(c_2(c_3(z0)))))))))))))))))) -> 2(1(2(1(1(0(1(0(2(3(0(0(3(3(3(1(1(2(z0))))))))))))))))))
   2(c_1(c_0(c_1(c_1(c_3(c_3(c_0(c_1(c_0(c_1(c_2(c_3(c_3(c_0(c_3(c_2(c_2(z0)))))))))))))))))) -> 0(3(3(1(3(3(0(2(1(1(3(1(0(2(1(2(0(2(z0))))))))))))))))))
   2(c_3(c_1(c_1(c_0(c_3(c_1(c_2(c_1(c_0(c_1(c_3(c_2(c_0(c_1(c_2(c_1(c_1(z0)))))))))))))))))) -> 2(3(2(0(1(1(1(3(2(1(1(3(0(0(1(1(2(1(z0))))))))))))))))))
   2(c_1(c_2(c_2(c_2(c_1(c_3(c_2(c_0(c_0(c_2(c_3(c_2(c_3(c_3(c_3(c_0(c_3(z0)))))))))))))))))) -> 2(3(3(1(3(2(0(3(2(1(3(0(2(2(2(2(3(0(z0))))))))))))))))))
   2(c_2(c_1(c_2(c_3(c_2(c_0(c_2(c_0(c_3(c_1(c_0(c_1(c_1(c_0(c_1(c_3(c_3(z0)))))))))))))))))) -> 2(2(0(1(2(0(1(2(3(1(0(2(0(1(3(1(3(3(z0))))))))))))))))))
   2(c_1(c_1(c_1(c_0(c_2(c_2(c_2(c_1(c_0(c_2(c_0(c_0(c_2(c_2(c_2(c_2(c_1(z0)))))))))))))))))) -> 2(2(2(2(1(1(2(0(1(0(0(0(2(1(2(2(2(1(z0))))))))))))))))))
   2(c_3(c_2(c_2(c_2(c_3(c_0(c_3(c_1(c_0(c_3(c_2(c_1(c_1(c_2(c_0(c_2(c_3(z0)))))))))))))))))) -> 2(2(1(1(0(1(2(3(3(0(3(3(2(2(2(0(2(3(z0))))))))))))))))))
   2(c_2(c_3(c_1(c_2(c_3(c_0(c_3(c_1(c_1(c_1(c_0(c_1(c_1(c_0(c_1(c_3(c_1(z0)))))))))))))))))) -> 2(3(1(1(2(0(1(3(1(1(0(1(1(3(1(3(0(2(z0))))))))))))))))))
   2(c_2(c_0(c_3(c_1(c_2(c_0(c_3(c_1(c_2(c_1(c_3(c_0(c_1(c_0(c_3(c_0(c_0(z0)))))))))))))))))) -> 2(3(2(2(1(3(0(3(0(1(3(0(0(0(1(1(2(0(z0))))))))))))))))))
   2(c_2(c_3(c_3(c_1(c_3(c_1(c_1(c_0(c_1(c_2(c_2(c_0(c_3(c_2(c_0(c_3(c_3(z0)))))))))))))))))) -> 2(2(3(1(3(2(1(3(3(1(0(0(2(3(3(1(0(2(z0))))))))))))))))))
   2(c_1(c_3(c_3(c_3(c_1(c_2(c_1(c_2(c_1(c_0(c_0(c_3(c_1(c_3(c_2(c_0(c_0(z0)))))))))))))))))) -> 2(1(3(0(1(3(1(0(2(2(0(0(1(3(1(3(2(3(z0))))))))))))))))))
   2(c_2(c_1(c_0(c_1(c_2(c_0(c_0(c_3(c_0(c_2(c_1(c_1(c_2(c_1(c_2(c_1(c_2(z0)))))))))))))))))) -> 2(2(1(0(3(2(1(1(1(0(0(2(0(1(2(2(1(2(z0))))))))))))))))))
   2(c_3(c_3(c_2(c_3(c_1(c_0(c_1(c_1(c_1(c_3(c_1(c_0(c_1(c_0(c_3(c_2(c_0(z0)))))))))))))))))) -> 2(1(0(0(1(2(3(1(1(3(3(3(1(1(3(2(0(0(z0))))))))))))))))))
   2(c_0(c_1(c_0(c_2(c_2(c_2(c_2(c_0(c_3(c_2(c_3(c_1(c_2(c_3(c_0(c_3(c_2(z0)))))))))))))))))) -> 2(0(2(0(2(2(3(0(3(3(1(3(0(1(2(2(2(2(z0))))))))))))))))))
   2(c_1(c_2(c_3(c_3(c_3(c_0(c_2(c_0(c_0(c_2(c_2(c_1(c_0(c_2(c_0(c_2(c_0(z0)))))))))))))))))) -> 0(3(0(2(2(2(1(3(0(0(1(3(0(0(2(2(2(2(z0))))))))))))))))))
   2(c_2(c_0(c_0(c_2(c_1(c_1(c_2(c_1(c_2(c_0(c_1(c_2(c_2(c_2(c_2(c_2(c_2(z0)))))))))))))))))) -> 2(2(2(2(1(1(0(2(1(1(2(2(0(2(0(2(2(2(z0))))))))))))))))))
   2(c_2(c_1(c_1(c_3(c_1(c_0(c_0(c_1(c_2(c_3(c_2(c_3(c_1(c_0(c_1(c_1(c_0(z0)))))))))))))))))) -> 0(1(2(2(3(1(0(2(1(3(2(1(1(3(0(1(1(0(z0))))))))))))))))))
   2(c_3(c_1(c_0(c_2(c_3(c_1(c_0(c_0(c_1(c_0(c_1(c_0(c_1(c_2(c_2(c_1(c_0(z0)))))))))))))))))) -> 2(0(3(1(0(1(0(1(2(0(2(2(1(3(0(0(1(1(z0))))))))))))))))))
   2(c_0(c_0(c_3(c_1(c_2(c_3(c_2(c_0(c_2(c_3(c_0(c_1(c_2(c_2(c_0(c_0(c_2(z0)))))))))))))))))) -> 2(0(2(3(1(3(0(0(3(2(0(1(0(2(0(2(2(2(z0))))))))))))))))))
   2(c_2(c_1(c_1(c_2(c_3(c_1(c_2(c_1(c_3(c_1(c_0(c_2(c_2(c_0(c_3(c_1(c_1(z0)))))))))))))))))) -> 2(2(1(2(3(1(1(3(1(2(2(1(0(0(2(1(3(1(z0))))))))))))))))))
   3(z0) -> c_3(z0)
   3(c_1(c_0(c_0(c_3(c_0(c_3(c_2(c_3(c_2(c_3(c_0(c_1(c_0(c_1(c_1(c_2(c_3(z0)))))))))))))))))) -> 3(0(1(3(2(3(3(1(1(0(2(0(0(3(1(3(0(2(z0))))))))))))))))))
   3(c_0(c_3(c_1(c_0(c_1(c_0(c_3(c_3(c_1(c_0(c_3(c_2(c_3(c_3(c_2(c_0(c_3(z0)))))))))))))))))) -> 1(3(0(2(0(0(3(3(2(1(3(0(3(3(1(3(3(0(z0))))))))))))))))))
   3(c_0(c_1(c_0(c_1(c_2(c_3(c_3(c_1(c_2(c_3(c_2(c_1(c_1(c_1(c_3(c_3(c_0(z0)))))))))))))))))) -> 3(0(1(2(1(3(3(1(3(0(1(3(1(2(0(1(3(2(z0))))))))))))))))))
   3(c_1(c_2(c_3(c_2(c_0(c_2(c_3(c_1(c_1(c_1(c_3(c_3(c_2(c_0(c_0(c_0(c_3(z0)))))))))))))))))) -> 3(1(3(2(1(3(0(2(1(0(0(2(3(1(2(3(3(0(z0))))))))))))))))))
   3(c_2(c_3(c_2(c_2(c_0(c_3(c_3(c_2(c_0(c_1(c_0(c_0(c_2(c_0(c_1(c_1(c_1(z0)))))))))))))))))) -> 3(0(1(3(2(0(3(0(1(2(3(0(2(0(2(2(1(1(z0))))))))))))))))))
   3(c_3(c_1(c_2(c_2(c_2(c_3(c_3(c_3(c_1(c_3(c_0(c_1(c_1(c_1(c_2(c_1(c_0(z0)))))))))))))))))) -> 3(3(3(1(2(3(1(3(0(2(2(1(3(0(2(1(1(1(z0))))))))))))))))))
   3(c_1(c_1(c_0(c_3(c_0(c_1(c_1(c_3(c_2(c_1(c_2(c_3(c_3(c_1(c_3(c_3(c_1(z0)))))))))))))))))) -> 3(1(3(2(1(1(1(3(3(0(3(2(1(3(0(1(3(1(z0))))))))))))))))))
   3(c_3(c_0(c_1(c_0(c_3(c_2(c_0(c_1(c_1(c_1(c_1(c_3(c_1(c_2(c_3(c_3(c_3(z0)))))))))))))))))) -> 3(2(3(1(1(1(0(3(3(0(2(1(3(0(1(3(1(3(z0))))))))))))))))))
   3(c_3(c_1(c_0(c_3(c_2(c_3(c_0(c_3(c_1(c_0(c_2(c_0(c_3(c_0(c_2(c_2(c_0(z0)))))))))))))))))) -> 3(3(3(2(0(3(0(3(0(1(0(0(1(3(0(2(2(2(z0))))))))))))))))))
   3(c_1(c_2(c_0(c_3(c_2(c_2(c_3(c_2(c_0(c_3(c_3(c_2(c_3(c_3(c_1(c_1(c_3(z0)))))))))))))))))) -> 3(2(2(3(1(3(3(2(1(3(3(0(2(0(2(3(1(3(z0))))))))))))))))))
   3(c_2(c_0(c_1(c_2(c_1(c_0(c_3(c_3(c_3(c_3(c_1(c_2(c_1(c_1(c_0(c_1(c_0(z0)))))))))))))))))) -> 3(0(0(2(1(3(2(3(3(1(1(3(1(1(0(2(0(1(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_2(c_3(c_0(c_1(c_2(c_3(c_2(c_0(c_3(c_1(c_0(c_0(c_0(c_3(c_3(c_0(c_3(z0)))))))))))))))))) -> c9(0'(2(1(3(0(0(3(3(0(1(0(2(2(3(3(0(0(3(z0)))))))))))))))))), 2'(1(3(0(0(3(3(0(1(0(2(2(3(3(0(0(3(z0))))))))))))))))), 1'(3(0(0(3(3(0(1(0(2(2(3(3(0(0(3(z0)))))))))))))))), 3'(0(0(3(3(0(1(0(2(2(3(3(0(0(3(z0))))))))))))))), 0'(0(3(3(0(1(0(2(2(3(3(0(0(3(z0)))))))))))))), 0'(3(3(0(1(0(2(2(3(3(0(0(3(z0))))))))))))), 3'(3(0(1(0(2(2(3(3(0(0(3(z0)))))))))))), 3'(0(1(0(2(2(3(3(0(0(3(z0))))))))))), 0'(1(0(2(2(3(3(0(0(3(z0)))))))))), 1'(0(2(2(3(3(0(0(3(z0))))))))), 0'(2(2(3(3(0(0(3(z0)))))))), 2'(2(3(3(0(0(3(z0))))))), 2'(3(3(0(0(3(z0)))))), 3'(3(0(0(3(z0))))), 3'(0(0(3(z0)))), 0'(0(3(z0))), 0'(3(z0)), 3'(z0))
   0'(c_1(c_0(c_2(c_1(c_1(c_0(c_0(c_1(c_0(c_3(c_1(c_1(c_0(c_2(c_1(c_2(c_3(z0)))))))))))))))))) -> c10(0'(1(2(0(0(2(1(1(0(1(1(1(0(1(3(0(2(3(z0)))))))))))))))))), 1'(2(0(0(2(1(1(0(1(1(1(0(1(3(0(2(3(z0))))))))))))))))), 2'(0(0(2(1(1(0(1(1(1(0(1(3(0(2(3(z0)))))))))))))))), 0'(0(2(1(1(0(1(1(1(0(1(3(0(2(3(z0))))))))))))))), 0'(2(1(1(0(1(1(1(0(1(3(0(2(3(z0)))))))))))))), 2'(1(1(0(1(1(1(0(1(3(0(2(3(z0))))))))))))), 1'(1(0(1(1(1(0(1(3(0(2(3(z0)))))))))))), 1'(0(1(1(1(0(1(3(0(2(3(z0))))))))))), 0'(1(1(1(0(1(3(0(2(3(z0)))))))))), 1'(1(1(0(1(3(0(2(3(z0))))))))), 1'(1(0(1(3(0(2(3(z0)))))))), 1'(0(1(3(0(2(3(z0))))))), 0'(1(3(0(2(3(z0)))))), 1'(3(0(2(3(z0))))), 3'(0(2(3(z0)))), 0'(2(3(z0))), 2'(3(z0)), 3'(z0))
   0'(c_1(c_0(c_3(c_2(c_0(c_0(c_0(c_3(c_3(c_0(c_2(c_2(c_2(c_2(c_1(c_1(c_1(z0)))))))))))))))))) -> c11(0'(0(1(1(3(0(3(0(0(2(2(2(0(2(2(1(3(1(z0)))))))))))))))))), 0'(1(1(3(0(3(0(0(2(2(2(0(2(2(1(3(1(z0))))))))))))))))), 1'(1(3(0(3(0(0(2(2(2(0(2(2(1(3(1(z0)))))))))))))))), 1'(3(0(3(0(0(2(2(2(0(2(2(1(3(1(z0))))))))))))))), 3'(0(3(0(0(2(2(2(0(2(2(1(3(1(z0)))))))))))))), 0'(3(0(0(2(2(2(0(2(2(1(3(1(z0))))))))))))), 3'(0(0(2(2(2(0(2(2(1(3(1(z0)))))))))))), 0'(0(2(2(2(0(2(2(1(3(1(z0))))))))))), 0'(2(2(2(0(2(2(1(3(1(z0)))))))))), 2'(2(2(0(2(2(1(3(1(z0))))))))), 2'(2(0(2(2(1(3(1(z0)))))))), 2'(0(2(2(1(3(1(z0))))))), 0'(2(2(1(3(1(z0)))))), 2'(2(1(3(1(z0))))), 2'(1(3(1(z0)))), 1'(3(1(z0))), 3'(1(z0)), 1'(z0))
   0'(c_0(c_3(c_1(c_0(c_2(c_2(c_0(c_2(c_3(c_1(c_1(c_0(c_1(c_2(c_2(c_0(c_1(z0)))))))))))))))))) -> c12(0'(2(1(1(3(0(0(0(1(0(2(3(1(2(2(0(2(1(z0)))))))))))))))))), 2'(1(1(3(0(0(0(1(0(2(3(1(2(2(0(2(1(z0))))))))))))))))), 1'(1(3(0(0(0(1(0(2(3(1(2(2(0(2(1(z0)))))))))))))))), 1'(3(0(0(0(1(0(2(3(1(2(2(0(2(1(z0))))))))))))))), 3'(0(0(0(1(0(2(3(1(2(2(0(2(1(z0)))))))))))))), 0'(0(0(1(0(2(3(1(2(2(0(2(1(z0))))))))))))), 0'(0(1(0(2(3(1(2(2(0(2(1(z0)))))))))))), 0'(1(0(2(3(1(2(2(0(2(1(z0))))))))))), 1'(0(2(3(1(2(2(0(2(1(z0)))))))))), 0'(2(3(1(2(2(0(2(1(z0))))))))), 2'(3(1(2(2(0(2(1(z0)))))))), 3'(1(2(2(0(2(1(z0))))))), 1'(2(2(0(2(1(z0)))))), 2'(2(0(2(1(z0))))), 2'(0(2(1(z0)))), 0'(2(1(z0))), 2'(1(z0)), 1'(z0))
   0'(c_3(c_2(c_0(c_3(c_1(c_0(c_1(c_0(c_3(c_0(c_3(c_0(c_0(c_3(c_0(c_0(c_0(z0)))))))))))))))))) -> c13(0'(3(0(0(0(0(1(2(0(3(3(0(0(3(0(1(3(0(z0)))))))))))))))))), 3'(0(0(0(0(1(2(0(3(3(0(0(3(0(1(3(0(z0))))))))))))))))), 0'(0(0(0(1(2(0(3(3(0(0(3(0(1(3(0(z0)))))))))))))))), 0'(0(0(1(2(0(3(3(0(0(3(0(1(3(0(z0))))))))))))))), 0'(0(1(2(0(3(3(0(0(3(0(1(3(0(z0)))))))))))))), 0'(1(2(0(3(3(0(0(3(0(1(3(0(z0))))))))))))), 1'(2(0(3(3(0(0(3(0(1(3(0(z0)))))))))))), 2'(0(3(3(0(0(3(0(1(3(0(z0))))))))))), 0'(3(3(0(0(3(0(1(3(0(z0)))))))))), 3'(3(0(0(3(0(1(3(0(z0))))))))), 3'(0(0(3(0(1(3(0(z0)))))))), 0'(0(3(0(1(3(0(z0))))))), 0'(3(0(1(3(0(z0)))))), 3'(0(1(3(0(z0))))), 0'(1(3(0(z0)))), 1'(3(0(z0))), 3'(0(z0)), 0'(z0))
   0'(c_1(c_2(c_3(c_2(c_1(c_0(c_1(c_2(c_2(c_0(c_0(c_1(c_0(c_3(c_1(c_0(c_1(z0)))))))))))))))))) -> c14(0'(2(1(1(1(0(2(2(0(0(1(1(0(3(0(1(3(2(z0)))))))))))))))))), 2'(1(1(1(0(2(2(0(0(1(1(0(3(0(1(3(2(z0))))))))))))))))), 1'(1(1(0(2(2(0(0(1(1(0(3(0(1(3(2(z0)))))))))))))))), 1'(1(0(2(2(0(0(1(1(0(3(0(1(3(2(z0))))))))))))))), 1'(0(2(2(0(0(1(1(0(3(0(1(3(2(z0)))))))))))))), 0'(2(2(0(0(1(1(0(3(0(1(3(2(z0))))))))))))), 2'(2(0(0(1(1(0(3(0(1(3(2(z0)))))))))))), 2'(0(0(1(1(0(3(0(1(3(2(z0))))))))))), 0'(0(1(1(0(3(0(1(3(2(z0)))))))))), 0'(1(1(0(3(0(1(3(2(z0))))))))), 1'(1(0(3(0(1(3(2(z0)))))))), 1'(0(3(0(1(3(2(z0))))))), 0'(3(0(1(3(2(z0)))))), 3'(0(1(3(2(z0))))), 0'(1(3(2(z0)))), 1'(3(2(z0))), 3'(2(z0)), 2'(z0))
   0'(c_2(c_1(c_0(c_3(c_0(c_3(c_0(c_3(c_2(c_0(c_1(c_0(c_1(c_2(c_2(c_1(c_1(z0)))))))))))))))))) -> c15(0'(2(3(0(3(2(2(1(2(1(1(0(0(3(0(0(1(1(z0)))))))))))))))))), 2'(3(0(3(2(2(1(2(1(1(0(0(3(0(0(1(1(z0))))))))))))))))), 3'(0(3(2(2(1(2(1(1(0(0(3(0(0(1(1(z0)))))))))))))))), 0'(3(2(2(1(2(1(1(0(0(3(0(0(1(1(z0))))))))))))))), 3'(2(2(1(2(1(1(0(0(3(0(0(1(1(z0)))))))))))))), 2'(2(1(2(1(1(0(0(3(0(0(1(1(z0))))))))))))), 2'(1(2(1(1(0(0(3(0(0(1(1(z0)))))))))))), 1'(2(1(1(0(0(3(0(0(1(1(z0))))))))))), 2'(1(1(0(0(3(0(0(1(1(z0)))))))))), 1'(1(0(0(3(0(0(1(1(z0))))))))), 1'(0(0(3(0(0(1(1(z0)))))))), 0'(0(3(0(0(1(1(z0))))))), 0'(3(0(0(1(1(z0)))))), 3'(0(0(1(1(z0))))), 0'(0(1(1(z0)))), 0'(1(1(z0))), 1'(1(z0)), 1'(z0))
   0'(c_0(c_2(c_2(c_1(c_3(c_2(c_2(c_2(c_1(c_0(c_2(c_2(c_0(c_2(c_2(c_0(c_0(z0)))))))))))))))))) -> c16(0'(2(2(2(2(1(3(0(0(2(1(0(2(2(2(2(0(0(z0)))))))))))))))))), 2'(2(2(2(1(3(0(0(2(1(0(2(2(2(2(0(0(z0))))))))))))))))), 2'(2(2(1(3(0(0(2(1(0(2(2(2(2(0(0(z0)))))))))))))))), 2'(2(1(3(0(0(2(1(0(2(2(2(2(0(0(z0))))))))))))))), 2'(1(3(0(0(2(1(0(2(2(2(2(0(0(z0)))))))))))))), 1'(3(0(0(2(1(0(2(2(2(2(0(0(z0))))))))))))), 3'(0(0(2(1(0(2(2(2(2(0(0(z0)))))))))))), 0'(0(2(1(0(2(2(2(2(0(0(z0))))))))))), 0'(2(1(0(2(2(2(2(0(0(z0)))))))))), 2'(1(0(2(2(2(2(0(0(z0))))))))), 1'(0(2(2(2(2(0(0(z0)))))))), 0'(2(2(2(2(0(0(z0))))))), 2'(2(2(2(0(0(z0)))))), 2'(2(2(0(0(z0))))), 2'(2(0(0(z0)))), 2'(0(0(z0))), 0'(0(z0)), 0'(z0))
   0'(c_3(c_1(c_1(c_2(c_3(c_0(c_3(c_0(c_1(c_0(c_1(c_2(c_2(c_1(c_0(c_2(c_2(z0)))))))))))))))))) -> c17(0'(0(1(3(0(0(2(2(2(3(2(1(1(1(1(0(3(2(z0)))))))))))))))))), 0'(1(3(0(0(2(2(2(3(2(1(1(1(1(0(3(2(z0))))))))))))))))), 1'(3(0(0(2(2(2(3(2(1(1(1(1(0(3(2(z0)))))))))))))))), 3'(0(0(2(2(2(3(2(1(1(1(1(0(3(2(z0))))))))))))))), 0'(0(2(2(2(3(2(1(1(1(1(0(3(2(z0)))))))))))))), 0'(2(2(2(3(2(1(1(1(1(0(3(2(z0))))))))))))), 2'(2(2(3(2(1(1(1(1(0(3(2(z0)))))))))))), 2'(2(3(2(1(1(1(1(0(3(2(z0))))))))))), 2'(3(2(1(1(1(1(0(3(2(z0)))))))))), 3'(2(1(1(1(1(0(3(2(z0))))))))), 2'(1(1(1(1(0(3(2(z0)))))))), 1'(1(1(1(0(3(2(z0))))))), 1'(1(1(0(3(2(z0)))))), 1'(1(0(3(2(z0))))), 1'(0(3(2(z0)))), 0'(3(2(z0))), 3'(2(z0)), 2'(z0))
   0'(c_1(c_1(c_1(c_1(c_3(c_1(c_1(c_0(c_1(c_3(c_1(c_0(c_2(c_3(c_3(c_3(c_2(z0)))))))))))))))))) -> c18(0'(2(0(1(3(1(1(3(1(0(1(3(2(1(3(1(1(3(z0)))))))))))))))))), 2'(0(1(3(1(1(3(1(0(1(3(2(1(3(1(1(3(z0))))))))))))))))), 0'(1(3(1(1(3(1(0(1(3(2(1(3(1(1(3(z0)))))))))))))))), 1'(3(1(1(3(1(0(1(3(2(1(3(1(1(3(z0))))))))))))))), 3'(1(1(3(1(0(1(3(2(1(3(1(1(3(z0)))))))))))))), 1'(1(3(1(0(1(3(2(1(3(1(1(3(z0))))))))))))), 1'(3(1(0(1(3(2(1(3(1(1(3(z0)))))))))))), 3'(1(0(1(3(2(1(3(1(1(3(z0))))))))))), 1'(0(1(3(2(1(3(1(1(3(z0)))))))))), 0'(1(3(2(1(3(1(1(3(z0))))))))), 1'(3(2(1(3(1(1(3(z0)))))))), 3'(2(1(3(1(1(3(z0))))))), 2'(1(3(1(1(3(z0)))))), 1'(3(1(1(3(z0))))), 3'(1(1(3(z0)))), 1'(1(3(z0))), 1'(3(z0)), 3'(z0))
   0'(c_3(c_0(c_1(c_0(c_3(c_0(c_1(c_1(c_1(c_2(c_0(c_0(c_0(c_3(c_2(c_1(c_0(z0)))))))))))))))))) -> c19(0'(0(2(2(1(3(0(0(1(3(0(1(0(1(0(0(1(3(z0)))))))))))))))))), 0'(2(2(1(3(0(0(1(3(0(1(0(1(0(0(1(3(z0))))))))))))))))), 2'(2(1(3(0(0(1(3(0(1(0(1(0(0(1(3(z0)))))))))))))))), 2'(1(3(0(0(1(3(0(1(0(1(0(0(1(3(z0))))))))))))))), 1'(3(0(0(1(3(0(1(0(1(0(0(1(3(z0)))))))))))))), 3'(0(0(1(3(0(1(0(1(0(0(1(3(z0))))))))))))), 0'(0(1(3(0(1(0(1(0(0(1(3(z0)))))))))))), 0'(1(3(0(1(0(1(0(0(1(3(z0))))))))))), 1'(3(0(1(0(1(0(0(1(3(z0)))))))))), 3'(0(1(0(1(0(0(1(3(z0))))))))), 0'(1(0(1(0(0(1(3(z0)))))))), 1'(0(1(0(0(1(3(z0))))))), 0'(1(0(0(1(3(z0)))))), 1'(0(0(1(3(z0))))), 0'(0(1(3(z0)))), 0'(1(3(z0))), 1'(3(z0)), 3'(z0))
   1'(c_0(c_1(c_0(c_2(c_0(c_2(c_3(c_1(c_1(c_2(c_2(c_0(c_0(c_3(c_0(c_3(c_2(z0)))))))))))))))))) -> c21(0'(0(0(1(1(3(1(3(2(0(0(2(2(1(3(0(2(2(z0)))))))))))))))))), 0'(0(1(1(3(1(3(2(0(0(2(2(1(3(0(2(2(z0))))))))))))))))), 0'(1(1(3(1(3(2(0(0(2(2(1(3(0(2(2(z0)))))))))))))))), 1'(1(3(1(3(2(0(0(2(2(1(3(0(2(2(z0))))))))))))))), 1'(3(1(3(2(0(0(2(2(1(3(0(2(2(z0)))))))))))))), 3'(1(3(2(0(0(2(2(1(3(0(2(2(z0))))))))))))), 1'(3(2(0(0(2(2(1(3(0(2(2(z0)))))))))))), 3'(2(0(0(2(2(1(3(0(2(2(z0))))))))))), 2'(0(0(2(2(1(3(0(2(2(z0)))))))))), 0'(0(2(2(1(3(0(2(2(z0))))))))), 0'(2(2(1(3(0(2(2(z0)))))))), 2'(2(1(3(0(2(2(z0))))))), 2'(1(3(0(2(2(z0)))))), 1'(3(0(2(2(z0))))), 3'(0(2(2(z0)))), 0'(2(2(z0))), 2'(2(z0)), 2'(z0))
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   3'(c_3(c_1(c_0(c_3(c_2(c_3(c_0(c_3(c_1(c_0(c_2(c_0(c_3(c_0(c_2(c_2(c_0(z0)))))))))))))))))) -> c89(3'(3(3(2(0(3(0(3(0(1(0(0(1(3(0(2(2(2(z0)))))))))))))))))), 3'(3(2(0(3(0(3(0(1(0(0(1(3(0(2(2(2(z0))))))))))))))))), 3'(2(0(3(0(3(0(1(0(0(1(3(0(2(2(2(z0)))))))))))))))), 2'(0(3(0(3(0(1(0(0(1(3(0(2(2(2(z0))))))))))))))), 0'(3(0(3(0(1(0(0(1(3(0(2(2(2(z0)))))))))))))), 3'(0(3(0(1(0(0(1(3(0(2(2(2(z0))))))))))))), 0'(3(0(1(0(0(1(3(0(2(2(2(z0)))))))))))), 3'(0(1(0(0(1(3(0(2(2(2(z0))))))))))), 0'(1(0(0(1(3(0(2(2(2(z0)))))))))), 1'(0(0(1(3(0(2(2(2(z0))))))))), 0'(0(1(3(0(2(2(2(z0)))))))), 0'(1(3(0(2(2(2(z0))))))), 1'(3(0(2(2(2(z0)))))), 3'(0(2(2(2(z0))))), 0'(2(2(2(z0)))), 2'(2(2(z0))), 2'(2(z0)), 2'(z0))
   3'(c_1(c_2(c_0(c_3(c_2(c_2(c_3(c_2(c_0(c_3(c_3(c_2(c_3(c_3(c_1(c_1(c_3(z0)))))))))))))))))) -> c90(3'(2(2(3(1(3(3(2(1(3(3(0(2(0(2(3(1(3(z0)))))))))))))))))), 2'(2(3(1(3(3(2(1(3(3(0(2(0(2(3(1(3(z0))))))))))))))))), 2'(3(1(3(3(2(1(3(3(0(2(0(2(3(1(3(z0)))))))))))))))), 3'(1(3(3(2(1(3(3(0(2(0(2(3(1(3(z0))))))))))))))), 1'(3(3(2(1(3(3(0(2(0(2(3(1(3(z0)))))))))))))), 3'(3(2(1(3(3(0(2(0(2(3(1(3(z0))))))))))))), 3'(2(1(3(3(0(2(0(2(3(1(3(z0)))))))))))), 2'(1(3(3(0(2(0(2(3(1(3(z0))))))))))), 1'(3(3(0(2(0(2(3(1(3(z0)))))))))), 3'(3(0(2(0(2(3(1(3(z0))))))))), 3'(0(2(0(2(3(1(3(z0)))))))), 0'(2(0(2(3(1(3(z0))))))), 2'(0(2(3(1(3(z0)))))), 0'(2(3(1(3(z0))))), 2'(3(1(3(z0)))), 3'(1(3(z0))), 1'(3(z0)), 3'(z0))
   3'(c_2(c_0(c_1(c_2(c_1(c_0(c_3(c_3(c_3(c_3(c_1(c_2(c_1(c_1(c_0(c_1(c_0(z0)))))))))))))))))) -> c91(3'(0(0(2(1(3(2(3(3(1(1(3(1(1(0(2(0(1(z0)))))))))))))))))), 0'(0(2(1(3(2(3(3(1(1(3(1(1(0(2(0(1(z0))))))))))))))))), 0'(2(1(3(2(3(3(1(1(3(1(1(0(2(0(1(z0)))))))))))))))), 2'(1(3(2(3(3(1(1(3(1(1(0(2(0(1(z0))))))))))))))), 1'(3(2(3(3(1(1(3(1(1(0(2(0(1(z0)))))))))))))), 3'(2(3(3(1(1(3(1(1(0(2(0(1(z0))))))))))))), 2'(3(3(1(1(3(1(1(0(2(0(1(z0)))))))))))), 3'(3(1(1(3(1(1(0(2(0(1(z0))))))))))), 3'(1(1(3(1(1(0(2(0(1(z0)))))))))), 1'(1(3(1(1(0(2(0(1(z0))))))))), 1'(3(1(1(0(2(0(1(z0)))))))), 3'(1(1(0(2(0(1(z0))))))), 1'(1(0(2(0(1(z0)))))), 1'(0(2(0(1(z0))))), 0'(2(0(1(z0)))), 2'(0(1(z0))), 0'(1(z0)), 1'(z0))
   ENCODE_0(z0) -> c8(0'(encArg(z0)))
   ENCODE_0(z0) -> c8(ENCARG(z0))
   ENCODE_2(z0) -> c8(2'(encArg(z0)))
   ENCODE_2(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))
S tuples:
   0'(c_2(c_3(c_0(c_1(c_2(c_3(c_2(c_0(c_3(c_1(c_0(c_0(c_0(c_3(c_3(c_0(c_3(z0)))))))))))))))))) -> c9(0'(2(1(3(0(0(3(3(0(1(0(2(2(3(3(0(0(3(z0)))))))))))))))))), 2'(1(3(0(0(3(3(0(1(0(2(2(3(3(0(0(3(z0))))))))))))))))), 1'(3(0(0(3(3(0(1(0(2(2(3(3(0(0(3(z0)))))))))))))))), 3'(0(0(3(3(0(1(0(2(2(3(3(0(0(3(z0))))))))))))))), 0'(0(3(3(0(1(0(2(2(3(3(0(0(3(z0)))))))))))))), 0'(3(3(0(1(0(2(2(3(3(0(0(3(z0))))))))))))), 3'(3(0(1(0(2(2(3(3(0(0(3(z0)))))))))))), 3'(0(1(0(2(2(3(3(0(0(3(z0))))))))))), 0'(1(0(2(2(3(3(0(0(3(z0)))))))))), 1'(0(2(2(3(3(0(0(3(z0))))))))), 0'(2(2(3(3(0(0(3(z0)))))))), 2'(2(3(3(0(0(3(z0))))))), 2'(3(3(0(0(3(z0)))))), 3'(3(0(0(3(z0))))), 3'(0(0(3(z0)))), 0'(0(3(z0))), 0'(3(z0)), 3'(z0))
   0'(c_1(c_0(c_2(c_1(c_1(c_0(c_0(c_1(c_0(c_3(c_1(c_1(c_0(c_2(c_1(c_2(c_3(z0)))))))))))))))))) -> c10(0'(1(2(0(0(2(1(1(0(1(1(1(0(1(3(0(2(3(z0)))))))))))))))))), 1'(2(0(0(2(1(1(0(1(1(1(0(1(3(0(2(3(z0))))))))))))))))), 2'(0(0(2(1(1(0(1(1(1(0(1(3(0(2(3(z0)))))))))))))))), 0'(0(2(1(1(0(1(1(1(0(1(3(0(2(3(z0))))))))))))))), 0'(2(1(1(0(1(1(1(0(1(3(0(2(3(z0)))))))))))))), 2'(1(1(0(1(1(1(0(1(3(0(2(3(z0))))))))))))), 1'(1(0(1(1(1(0(1(3(0(2(3(z0)))))))))))), 1'(0(1(1(1(0(1(3(0(2(3(z0))))))))))), 0'(1(1(1(0(1(3(0(2(3(z0)))))))))), 1'(1(1(0(1(3(0(2(3(z0))))))))), 1'(1(0(1(3(0(2(3(z0)))))))), 1'(0(1(3(0(2(3(z0))))))), 0'(1(3(0(2(3(z0)))))), 1'(3(0(2(3(z0))))), 3'(0(2(3(z0)))), 0'(2(3(z0))), 2'(3(z0)), 3'(z0))
   0'(c_1(c_0(c_3(c_2(c_0(c_0(c_0(c_3(c_3(c_0(c_2(c_2(c_2(c_2(c_1(c_1(c_1(z0)))))))))))))))))) -> c11(0'(0(1(1(3(0(3(0(0(2(2(2(0(2(2(1(3(1(z0)))))))))))))))))), 0'(1(1(3(0(3(0(0(2(2(2(0(2(2(1(3(1(z0))))))))))))))))), 1'(1(3(0(3(0(0(2(2(2(0(2(2(1(3(1(z0)))))))))))))))), 1'(3(0(3(0(0(2(2(2(0(2(2(1(3(1(z0))))))))))))))), 3'(0(3(0(0(2(2(2(0(2(2(1(3(1(z0)))))))))))))), 0'(3(0(0(2(2(2(0(2(2(1(3(1(z0))))))))))))), 3'(0(0(2(2(2(0(2(2(1(3(1(z0)))))))))))), 0'(0(2(2(2(0(2(2(1(3(1(z0))))))))))), 0'(2(2(2(0(2(2(1(3(1(z0)))))))))), 2'(2(2(0(2(2(1(3(1(z0))))))))), 2'(2(0(2(2(1(3(1(z0)))))))), 2'(0(2(2(1(3(1(z0))))))), 0'(2(2(1(3(1(z0)))))), 2'(2(1(3(1(z0))))), 2'(1(3(1(z0)))), 1'(3(1(z0))), 3'(1(z0)), 1'(z0))
   0'(c_0(c_3(c_1(c_0(c_2(c_2(c_0(c_2(c_3(c_1(c_1(c_0(c_1(c_2(c_2(c_0(c_1(z0)))))))))))))))))) -> c12(0'(2(1(1(3(0(0(0(1(0(2(3(1(2(2(0(2(1(z0)))))))))))))))))), 2'(1(1(3(0(0(0(1(0(2(3(1(2(2(0(2(1(z0))))))))))))))))), 1'(1(3(0(0(0(1(0(2(3(1(2(2(0(2(1(z0)))))))))))))))), 1'(3(0(0(0(1(0(2(3(1(2(2(0(2(1(z0))))))))))))))), 3'(0(0(0(1(0(2(3(1(2(2(0(2(1(z0)))))))))))))), 0'(0(0(1(0(2(3(1(2(2(0(2(1(z0))))))))))))), 0'(0(1(0(2(3(1(2(2(0(2(1(z0)))))))))))), 0'(1(0(2(3(1(2(2(0(2(1(z0))))))))))), 1'(0(2(3(1(2(2(0(2(1(z0)))))))))), 0'(2(3(1(2(2(0(2(1(z0))))))))), 2'(3(1(2(2(0(2(1(z0)))))))), 3'(1(2(2(0(2(1(z0))))))), 1'(2(2(0(2(1(z0)))))), 2'(2(0(2(1(z0))))), 2'(0(2(1(z0)))), 0'(2(1(z0))), 2'(1(z0)), 1'(z0))
   0'(c_3(c_2(c_0(c_3(c_1(c_0(c_1(c_0(c_3(c_0(c_3(c_0(c_0(c_3(c_0(c_0(c_0(z0)))))))))))))))))) -> c13(0'(3(0(0(0(0(1(2(0(3(3(0(0(3(0(1(3(0(z0)))))))))))))))))), 3'(0(0(0(0(1(2(0(3(3(0(0(3(0(1(3(0(z0))))))))))))))))), 0'(0(0(0(1(2(0(3(3(0(0(3(0(1(3(0(z0)))))))))))))))), 0'(0(0(1(2(0(3(3(0(0(3(0(1(3(0(z0))))))))))))))), 0'(0(1(2(0(3(3(0(0(3(0(1(3(0(z0)))))))))))))), 0'(1(2(0(3(3(0(0(3(0(1(3(0(z0))))))))))))), 1'(2(0(3(3(0(0(3(0(1(3(0(z0)))))))))))), 2'(0(3(3(0(0(3(0(1(3(0(z0))))))))))), 0'(3(3(0(0(3(0(1(3(0(z0)))))))))), 3'(3(0(0(3(0(1(3(0(z0))))))))), 3'(0(0(3(0(1(3(0(z0)))))))), 0'(0(3(0(1(3(0(z0))))))), 0'(3(0(1(3(0(z0)))))), 3'(0(1(3(0(z0))))), 0'(1(3(0(z0)))), 1'(3(0(z0))), 3'(0(z0)), 0'(z0))
   0'(c_1(c_2(c_3(c_2(c_1(c_0(c_1(c_2(c_2(c_0(c_0(c_1(c_0(c_3(c_1(c_0(c_1(z0)))))))))))))))))) -> c14(0'(2(1(1(1(0(2(2(0(0(1(1(0(3(0(1(3(2(z0)))))))))))))))))), 2'(1(1(1(0(2(2(0(0(1(1(0(3(0(1(3(2(z0))))))))))))))))), 1'(1(1(0(2(2(0(0(1(1(0(3(0(1(3(2(z0)))))))))))))))), 1'(1(0(2(2(0(0(1(1(0(3(0(1(3(2(z0))))))))))))))), 1'(0(2(2(0(0(1(1(0(3(0(1(3(2(z0)))))))))))))), 0'(2(2(0(0(1(1(0(3(0(1(3(2(z0))))))))))))), 2'(2(0(0(1(1(0(3(0(1(3(2(z0)))))))))))), 2'(0(0(1(1(0(3(0(1(3(2(z0))))))))))), 0'(0(1(1(0(3(0(1(3(2(z0)))))))))), 0'(1(1(0(3(0(1(3(2(z0))))))))), 1'(1(0(3(0(1(3(2(z0)))))))), 1'(0(3(0(1(3(2(z0))))))), 0'(3(0(1(3(2(z0)))))), 3'(0(1(3(2(z0))))), 0'(1(3(2(z0)))), 1'(3(2(z0))), 3'(2(z0)), 2'(z0))
   0'(c_2(c_1(c_0(c_3(c_0(c_3(c_0(c_3(c_2(c_0(c_1(c_0(c_1(c_2(c_2(c_1(c_1(z0)))))))))))))))))) -> c15(0'(2(3(0(3(2(2(1(2(1(1(0(0(3(0(0(1(1(z0)))))))))))))))))), 2'(3(0(3(2(2(1(2(1(1(0(0(3(0(0(1(1(z0))))))))))))))))), 3'(0(3(2(2(1(2(1(1(0(0(3(0(0(1(1(z0)))))))))))))))), 0'(3(2(2(1(2(1(1(0(0(3(0(0(1(1(z0))))))))))))))), 3'(2(2(1(2(1(1(0(0(3(0(0(1(1(z0)))))))))))))), 2'(2(1(2(1(1(0(0(3(0(0(1(1(z0))))))))))))), 2'(1(2(1(1(0(0(3(0(0(1(1(z0)))))))))))), 1'(2(1(1(0(0(3(0(0(1(1(z0))))))))))), 2'(1(1(0(0(3(0(0(1(1(z0)))))))))), 1'(1(0(0(3(0(0(1(1(z0))))))))), 1'(0(0(3(0(0(1(1(z0)))))))), 0'(0(3(0(0(1(1(z0))))))), 0'(3(0(0(1(1(z0)))))), 3'(0(0(1(1(z0))))), 0'(0(1(1(z0)))), 0'(1(1(z0))), 1'(1(z0)), 1'(z0))
   0'(c_0(c_2(c_2(c_1(c_3(c_2(c_2(c_2(c_1(c_0(c_2(c_2(c_0(c_2(c_2(c_0(c_0(z0)))))))))))))))))) -> c16(0'(2(2(2(2(1(3(0(0(2(1(0(2(2(2(2(0(0(z0)))))))))))))))))), 2'(2(2(2(1(3(0(0(2(1(0(2(2(2(2(0(0(z0))))))))))))))))), 2'(2(2(1(3(0(0(2(1(0(2(2(2(2(0(0(z0)))))))))))))))), 2'(2(1(3(0(0(2(1(0(2(2(2(2(0(0(z0))))))))))))))), 2'(1(3(0(0(2(1(0(2(2(2(2(0(0(z0)))))))))))))), 1'(3(0(0(2(1(0(2(2(2(2(0(0(z0))))))))))))), 3'(0(0(2(1(0(2(2(2(2(0(0(z0)))))))))))), 0'(0(2(1(0(2(2(2(2(0(0(z0))))))))))), 0'(2(1(0(2(2(2(2(0(0(z0)))))))))), 2'(1(0(2(2(2(2(0(0(z0))))))))), 1'(0(2(2(2(2(0(0(z0)))))))), 0'(2(2(2(2(0(0(z0))))))), 2'(2(2(2(0(0(z0)))))), 2'(2(2(0(0(z0))))), 2'(2(0(0(z0)))), 2'(0(0(z0))), 0'(0(z0)), 0'(z0))
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   3'(c_2(c_3(c_2(c_2(c_0(c_3(c_3(c_2(c_0(c_1(c_0(c_0(c_2(c_0(c_1(c_1(c_1(z0)))))))))))))))))) -> c85(3'(0(1(3(2(0(3(0(1(2(3(0(2(0(2(2(1(1(z0)))))))))))))))))), 0'(1(3(2(0(3(0(1(2(3(0(2(0(2(2(1(1(z0))))))))))))))))), 1'(3(2(0(3(0(1(2(3(0(2(0(2(2(1(1(z0)))))))))))))))), 3'(2(0(3(0(1(2(3(0(2(0(2(2(1(1(z0))))))))))))))), 2'(0(3(0(1(2(3(0(2(0(2(2(1(1(z0)))))))))))))), 0'(3(0(1(2(3(0(2(0(2(2(1(1(z0))))))))))))), 3'(0(1(2(3(0(2(0(2(2(1(1(z0)))))))))))), 0'(1(2(3(0(2(0(2(2(1(1(z0))))))))))), 1'(2(3(0(2(0(2(2(1(1(z0)))))))))), 2'(3(0(2(0(2(2(1(1(z0))))))))), 3'(0(2(0(2(2(1(1(z0)))))))), 0'(2(0(2(2(1(1(z0))))))), 2'(0(2(2(1(1(z0)))))), 0'(2(2(1(1(z0))))), 2'(2(1(1(z0)))), 2'(1(1(z0))), 1'(1(z0)), 1'(z0))
   3'(c_3(c_1(c_2(c_2(c_2(c_3(c_3(c_3(c_1(c_3(c_0(c_1(c_1(c_1(c_2(c_1(c_0(z0)))))))))))))))))) -> c86(3'(3(3(1(2(3(1(3(0(2(2(1(3(0(2(1(1(1(z0)))))))))))))))))), 3'(3(1(2(3(1(3(0(2(2(1(3(0(2(1(1(1(z0))))))))))))))))), 3'(1(2(3(1(3(0(2(2(1(3(0(2(1(1(1(z0)))))))))))))))), 1'(2(3(1(3(0(2(2(1(3(0(2(1(1(1(z0))))))))))))))), 2'(3(1(3(0(2(2(1(3(0(2(1(1(1(z0)))))))))))))), 3'(1(3(0(2(2(1(3(0(2(1(1(1(z0))))))))))))), 1'(3(0(2(2(1(3(0(2(1(1(1(z0)))))))))))), 3'(0(2(2(1(3(0(2(1(1(1(z0))))))))))), 0'(2(2(1(3(0(2(1(1(1(z0)))))))))), 2'(2(1(3(0(2(1(1(1(z0))))))))), 2'(1(3(0(2(1(1(1(z0)))))))), 1'(3(0(2(1(1(1(z0))))))), 3'(0(2(1(1(1(z0)))))), 0'(2(1(1(1(z0))))), 2'(1(1(1(z0)))), 1'(1(1(z0))), 1'(1(z0)), 1'(z0))
   3'(c_1(c_1(c_0(c_3(c_0(c_1(c_1(c_3(c_2(c_1(c_2(c_3(c_3(c_1(c_3(c_3(c_1(z0)))))))))))))))))) -> c87(3'(1(3(2(1(1(1(3(3(0(3(2(1(3(0(1(3(1(z0)))))))))))))))))), 1'(3(2(1(1(1(3(3(0(3(2(1(3(0(1(3(1(z0))))))))))))))))), 3'(2(1(1(1(3(3(0(3(2(1(3(0(1(3(1(z0)))))))))))))))), 2'(1(1(1(3(3(0(3(2(1(3(0(1(3(1(z0))))))))))))))), 1'(1(1(3(3(0(3(2(1(3(0(1(3(1(z0)))))))))))))), 1'(1(3(3(0(3(2(1(3(0(1(3(1(z0))))))))))))), 1'(3(3(0(3(2(1(3(0(1(3(1(z0)))))))))))), 3'(3(0(3(2(1(3(0(1(3(1(z0))))))))))), 3'(0(3(2(1(3(0(1(3(1(z0)))))))))), 0'(3(2(1(3(0(1(3(1(z0))))))))), 3'(2(1(3(0(1(3(1(z0)))))))), 2'(1(3(0(1(3(1(z0))))))), 1'(3(0(1(3(1(z0)))))), 3'(0(1(3(1(z0))))), 0'(1(3(1(z0)))), 1'(3(1(z0))), 3'(1(z0)), 1'(z0))
   3'(c_3(c_0(c_1(c_0(c_3(c_2(c_0(c_1(c_1(c_1(c_1(c_3(c_1(c_2(c_3(c_3(c_3(z0)))))))))))))))))) -> c88(3'(2(3(1(1(1(0(3(3(0(2(1(3(0(1(3(1(3(z0)))))))))))))))))), 2'(3(1(1(1(0(3(3(0(2(1(3(0(1(3(1(3(z0))))))))))))))))), 3'(1(1(1(0(3(3(0(2(1(3(0(1(3(1(3(z0)))))))))))))))), 1'(1(1(0(3(3(0(2(1(3(0(1(3(1(3(z0))))))))))))))), 1'(1(0(3(3(0(2(1(3(0(1(3(1(3(z0)))))))))))))), 1'(0(3(3(0(2(1(3(0(1(3(1(3(z0))))))))))))), 0'(3(3(0(2(1(3(0(1(3(1(3(z0)))))))))))), 3'(3(0(2(1(3(0(1(3(1(3(z0))))))))))), 3'(0(2(1(3(0(1(3(1(3(z0)))))))))), 0'(2(1(3(0(1(3(1(3(z0))))))))), 2'(1(3(0(1(3(1(3(z0)))))))), 1'(3(0(1(3(1(3(z0))))))), 3'(0(1(3(1(3(z0)))))), 0'(1(3(1(3(z0))))), 1'(3(1(3(z0)))), 3'(1(3(z0))), 1'(3(z0)), 3'(z0))
   3'(c_3(c_1(c_0(c_3(c_2(c_3(c_0(c_3(c_1(c_0(c_2(c_0(c_3(c_0(c_2(c_2(c_0(z0)))))))))))))))))) -> c89(3'(3(3(2(0(3(0(3(0(1(0(0(1(3(0(2(2(2(z0)))))))))))))))))), 3'(3(2(0(3(0(3(0(1(0(0(1(3(0(2(2(2(z0))))))))))))))))), 3'(2(0(3(0(3(0(1(0(0(1(3(0(2(2(2(z0)))))))))))))))), 2'(0(3(0(3(0(1(0(0(1(3(0(2(2(2(z0))))))))))))))), 0'(3(0(3(0(1(0(0(1(3(0(2(2(2(z0)))))))))))))), 3'(0(3(0(1(0(0(1(3(0(2(2(2(z0))))))))))))), 0'(3(0(1(0(0(1(3(0(2(2(2(z0)))))))))))), 3'(0(1(0(0(1(3(0(2(2(2(z0))))))))))), 0'(1(0(0(1(3(0(2(2(2(z0)))))))))), 1'(0(0(1(3(0(2(2(2(z0))))))))), 0'(0(1(3(0(2(2(2(z0)))))))), 0'(1(3(0(2(2(2(z0))))))), 1'(3(0(2(2(2(z0)))))), 3'(0(2(2(2(z0))))), 0'(2(2(2(z0)))), 2'(2(2(z0))), 2'(2(z0)), 2'(z0))
   3'(c_1(c_2(c_0(c_3(c_2(c_2(c_3(c_2(c_0(c_3(c_3(c_2(c_3(c_3(c_1(c_1(c_3(z0)))))))))))))))))) -> c90(3'(2(2(3(1(3(3(2(1(3(3(0(2(0(2(3(1(3(z0)))))))))))))))))), 2'(2(3(1(3(3(2(1(3(3(0(2(0(2(3(1(3(z0))))))))))))))))), 2'(3(1(3(3(2(1(3(3(0(2(0(2(3(1(3(z0)))))))))))))))), 3'(1(3(3(2(1(3(3(0(2(0(2(3(1(3(z0))))))))))))))), 1'(3(3(2(1(3(3(0(2(0(2(3(1(3(z0)))))))))))))), 3'(3(2(1(3(3(0(2(0(2(3(1(3(z0))))))))))))), 3'(2(1(3(3(0(2(0(2(3(1(3(z0)))))))))))), 2'(1(3(3(0(2(0(2(3(1(3(z0))))))))))), 1'(3(3(0(2(0(2(3(1(3(z0)))))))))), 3'(3(0(2(0(2(3(1(3(z0))))))))), 3'(0(2(0(2(3(1(3(z0)))))))), 0'(2(0(2(3(1(3(z0))))))), 2'(0(2(3(1(3(z0)))))), 0'(2(3(1(3(z0))))), 2'(3(1(3(z0)))), 3'(1(3(z0))), 1'(3(z0)), 3'(z0))
   3'(c_2(c_0(c_1(c_2(c_1(c_0(c_3(c_3(c_3(c_3(c_1(c_2(c_1(c_1(c_0(c_1(c_0(z0)))))))))))))))))) -> c91(3'(0(0(2(1(3(2(3(3(1(1(3(1(1(0(2(0(1(z0)))))))))))))))))), 0'(0(2(1(3(2(3(3(1(1(3(1(1(0(2(0(1(z0))))))))))))))))), 0'(2(1(3(2(3(3(1(1(3(1(1(0(2(0(1(z0)))))))))))))))), 2'(1(3(2(3(3(1(1(3(1(1(0(2(0(1(z0))))))))))))))), 1'(3(2(3(3(1(1(3(1(1(0(2(0(1(z0)))))))))))))), 3'(2(3(3(1(1(3(1(1(0(2(0(1(z0))))))))))))), 2'(3(3(1(1(3(1(1(0(2(0(1(z0)))))))))))), 3'(3(1(1(3(1(1(0(2(0(1(z0))))))))))), 3'(1(1(3(1(1(0(2(0(1(z0)))))))))), 1'(1(3(1(1(0(2(0(1(z0))))))))), 1'(3(1(1(0(2(0(1(z0)))))))), 3'(1(1(0(2(0(1(z0))))))), 1'(1(0(2(0(1(z0)))))), 1'(0(2(0(1(z0))))), 0'(2(0(1(z0)))), 2'(0(1(z0))), 0'(1(z0)), 1'(z0))
K tuples:none
Defined Rule Symbols:   2_1, 1_1, 0_1, 3_1, encArg_1, encode_0_1, encode_2_1, encode_1_1, encode_3_1

Defined Pair Symbols:   ENCARG_1, 0'_1, 1'_1, 2'_1, 3'_1, ENCODE_0_1, ENCODE_2_1, ENCODE_1_1, ENCODE_3_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, c21_18, c22_18, c23_18, c24_18, c25_18, c26_18, c27_18, c28_18, c29_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, c43_18, c44_18, c45_18, c46_18, c47_18, c48_18, c49_18, c50_18, c51_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_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, 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_2(z0) -> c8(ENCARG(z0))
   ENCODE_1(z0) -> c8(ENCARG(z0))
   ENCODE_3(z0) -> c8(ENCARG(z0))

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

(44)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(cons_0(z0)) -> 0(encArg(z0))
   encArg(cons_1(z0)) -> 1(encArg(z0))
   encArg(cons_2(z0)) -> 2(encArg(z0))
   encArg(cons_3(z0)) -> 3(encArg(z0))
   encode_0(z0) -> 0(encArg(z0))
   encode_2(z0) -> 2(encArg(z0))
   encode_1(z0) -> 1(encArg(z0))
   encode_3(z0) -> 3(encArg(z0))
   0(z0) -> c_0(z0)
   0(c_2(c_3(c_0(c_1(c_2(c_3(c_2(c_0(c_3(c_1(c_0(c_0(c_0(c_3(c_3(c_0(c_3(z0)))))))))))))))))) -> 0(2(1(3(0(0(3(3(0(1(0(2(2(3(3(0(0(3(z0))))))))))))))))))
   0(c_1(c_0(c_2(c_1(c_1(c_0(c_0(c_1(c_0(c_3(c_1(c_1(c_0(c_2(c_1(c_2(c_3(z0)))))))))))))))))) -> 0(1(2(0(0(2(1(1(0(1(1(1(0(1(3(0(2(3(z0))))))))))))))))))
   0(c_1(c_0(c_3(c_2(c_0(c_0(c_0(c_3(c_3(c_0(c_2(c_2(c_2(c_2(c_1(c_1(c_1(z0)))))))))))))))))) -> 0(0(1(1(3(0(3(0(0(2(2(2(0(2(2(1(3(1(z0))))))))))))))))))
   0(c_0(c_3(c_1(c_0(c_2(c_2(c_0(c_2(c_3(c_1(c_1(c_0(c_1(c_2(c_2(c_0(c_1(z0)))))))))))))))))) -> 0(2(1(1(3(0(0(0(1(0(2(3(1(2(2(0(2(1(z0))))))))))))))))))
   0(c_3(c_2(c_0(c_3(c_1(c_0(c_1(c_0(c_3(c_0(c_3(c_0(c_0(c_3(c_0(c_0(c_0(z0)))))))))))))))))) -> 0(3(0(0(0(0(1(2(0(3(3(0(0(3(0(1(3(0(z0))))))))))))))))))
   0(c_1(c_2(c_3(c_2(c_1(c_0(c_1(c_2(c_2(c_0(c_0(c_1(c_0(c_3(c_1(c_0(c_1(z0)))))))))))))))))) -> 0(2(1(1(1(0(2(2(0(0(1(1(0(3(0(1(3(2(z0))))))))))))))))))
   0(c_2(c_1(c_0(c_3(c_0(c_3(c_0(c_3(c_2(c_0(c_1(c_0(c_1(c_2(c_2(c_1(c_1(z0)))))))))))))))))) -> 0(2(3(0(3(2(2(1(2(1(1(0(0(3(0(0(1(1(z0))))))))))))))))))
   0(c_0(c_2(c_2(c_1(c_3(c_2(c_2(c_2(c_1(c_0(c_2(c_2(c_0(c_2(c_2(c_0(c_0(z0)))))))))))))))))) -> 0(2(2(2(2(1(3(0(0(2(1(0(2(2(2(2(0(0(z0))))))))))))))))))
   0(c_3(c_1(c_1(c_2(c_3(c_0(c_3(c_0(c_1(c_0(c_1(c_2(c_2(c_1(c_0(c_2(c_2(z0)))))))))))))))))) -> 0(0(1(3(0(0(2(2(2(3(2(1(1(1(1(0(3(2(z0))))))))))))))))))
   0(c_1(c_1(c_1(c_1(c_3(c_1(c_1(c_0(c_1(c_3(c_1(c_0(c_2(c_3(c_3(c_3(c_2(z0)))))))))))))))))) -> 0(2(0(1(3(1(1(3(1(0(1(3(2(1(3(1(1(3(z0))))))))))))))))))
   0(c_3(c_0(c_1(c_0(c_3(c_0(c_1(c_1(c_1(c_2(c_0(c_0(c_0(c_3(c_2(c_1(c_0(z0)))))))))))))))))) -> 0(0(2(2(1(3(0(0(1(3(0(1(0(1(0(0(1(3(z0))))))))))))))))))
   1(z0) -> c_1(z0)
   1(c_0(c_1(c_0(c_2(c_0(c_2(c_3(c_1(c_1(c_2(c_2(c_0(c_0(c_3(c_0(c_3(c_2(z0)))))))))))))))))) -> 0(0(0(1(1(3(1(3(2(0(0(2(2(1(3(0(2(2(z0))))))))))))))))))
   1(c_2(c_0(c_0(c_2(c_1(c_3(c_2(c_2(c_3(c_2(c_2(c_0(c_3(c_2(c_3(c_2(c_2(z0)))))))))))))))))) -> 1(2(0(3(2(2(2(2(3(0(0(2(2(2(3(1(3(2(z0))))))))))))))))))
   1(c_0(c_2(c_3(c_3(c_3(c_1(c_0(c_2(c_0(c_1(c_2(c_2(c_3(c_2(c_1(c_0(c_1(z0)))))))))))))))))) -> 2(3(2(1(0(1(3(1(3(0(2(3(0(2(0(1(2(1(z0))))))))))))))))))
   1(c_1(c_1(c_2(c_1(c_1(c_1(c_2(c_1(c_3(c_1(c_0(c_1(c_2(c_1(c_2(c_3(c_1(z0)))))))))))))))))) -> 1(1(1(1(1(1(3(0(2(2(1(1(1(2(3(1(2(1(z0))))))))))))))))))
   1(c_1(c_0(c_3(c_1(c_0(c_2(c_3(c_1(c_1(c_0(c_3(c_3(c_0(c_3(c_1(c_1(c_1(z0)))))))))))))))))) -> 1(1(3(1(3(2(3(0(1(0(3(0(1(3(1(0(1(1(z0))))))))))))))))))
   1(c_3(c_2(c_2(c_1(c_0(c_1(c_2(c_1(c_0(c_3(c_1(c_0(c_3(c_2(c_3(c_0(c_3(z0)))))))))))))))))) -> 3(1(3(2(1(1(0(0(2(0(0(3(1(3(2(2(1(3(z0))))))))))))))))))
   1(c_2(c_1(c_2(c_1(c_2(c_0(c_1(c_0(c_1(c_3(c_1(c_0(c_0(c_0(c_1(c_3(c_3(z0)))))))))))))))))) -> 1(1(2(2(1(0(1(3(0(1(1(3(0(2(1(3(0(0(z0))))))))))))))))))
   1(c_2(c_0(c_1(c_2(c_1(c_0(c_2(c_0(c_0(c_3(c_1(c_0(c_2(c_0(c_3(c_2(c_2(z0)))))))))))))))))) -> 1(1(0(0(0(2(1(0(2(0(3(2(2(1(0(2(3(2(z0))))))))))))))))))
   1(c_3(c_1(c_1(c_0(c_1(c_2(c_1(c_1(c_1(c_0(c_3(c_1(c_1(c_0(c_2(c_3(c_1(z0)))))))))))))))))) -> 1(1(3(2(1(3(1(1(0(0(1(3(2(1(0(1(1(1(z0))))))))))))))))))
   1(c_3(c_1(c_3(c_2(c_0(c_1(c_3(c_1(c_1(c_3(c_2(c_3(c_3(c_3(c_3(c_0(c_1(z0)))))))))))))))))) -> 1(3(3(3(1(2(3(1(3(0(2(1(1(3(0(3(3(1(z0))))))))))))))))))
   1(c_0(c_0(c_0(c_1(c_2(c_3(c_3(c_2(c_2(c_1(c_0(c_2(c_3(c_3(c_2(c_0(c_3(z0)))))))))))))))))) -> 3(0(2(1(1(3(3(1(0(0(2(0(2(2(3(2(0(3(z0))))))))))))))))))
   1(c_1(c_0(c_0(c_1(c_2(c_1(c_2(c_2(c_0(c_3(c_1(c_2(c_3(c_2(c_0(c_0(c_3(z0)))))))))))))))))) -> 1(2(2(0(2(1(0(2(1(0(0(2(3(0(1(1(3(3(z0))))))))))))))))))
   1(c_2(c_0(c_2(c_0(c_0(c_0(c_3(c_0(c_1(c_0(c_1(c_1(c_0(c_3(c_1(c_0(c_3(z0)))))))))))))))))) -> 1(3(0(3(1(1(0(1(1(0(0(0(2(2(3(0(0(0(z0))))))))))))))))))
   1(c_1(c_0(c_3(c_1(c_0(c_3(c_3(c_3(c_1(c_1(c_2(c_2(c_2(c_2(c_0(c_1(c_2(z0)))))))))))))))))) -> 2(1(1(0(0(1(1(2(3(3(3(0(1(2(3(2(1(2(z0))))))))))))))))))
   1(c_3(c_3(c_0(c_0(c_3(c_3(c_1(c_0(c_0(c_2(c_3(c_3(c_1(c_3(c_2(c_3(c_1(z0)))))))))))))))))) -> 1(3(0(0(1(3(0(1(3(3(2(2(3(3(3(3(0(1(z0))))))))))))))))))
   1(c_2(c_3(c_3(c_2(c_1(c_0(c_3(c_2(c_2(c_1(c_0(c_3(c_1(c_0(c_0(c_0(c_0(z0)))))))))))))))))) -> 0(3(0(1(2(1(3(0(1(0(2(1(2(3(3(0(2(0(z0))))))))))))))))))
   1(c_0(c_3(c_0(c_3(c_1(c_0(c_3(c_3(c_1(c_2(c_1(c_3(c_2(c_0(c_2(c_1(c_0(z0)))))))))))))))))) -> 2(2(1(3(0(0(1(3(1(0(2(0(0(3(3(3(1(1(z0))))))))))))))))))
   1(c_2(c_3(c_0(c_3(c_2(c_0(c_2(c_0(c_2(c_0(c_3(c_2(c_0(c_2(c_2(c_0(c_0(z0)))))))))))))))))) -> 1(2(2(2(0(3(3(0(0(2(0(0(0(2(2(2(3(0(z0))))))))))))))))))
   1(c_1(c_3(c_2(c_0(c_2(c_3(c_1(c_0(c_1(c_0(c_2(c_3(c_3(c_2(c_2(c_0(c_0(z0)))))))))))))))))) -> 2(0(2(3(2(0(2(0(1(2(1(3(0(1(3(0(1(3(z0))))))))))))))))))
   1(c_0(c_3(c_3(c_1(c_0(c_3(c_3(c_3(c_1(c_1(c_3(c_2(c_0(c_0(c_1(c_3(c_1(z0)))))))))))))))))) -> 1(3(3(0(1(3(3(0(1(3(3(0(1(3(2(1(0(1(z0))))))))))))))))))
   1(c_2(c_1(c_3(c_2(c_3(c_3(c_1(c_1(c_1(c_0(c_1(c_0(c_0(c_3(c_2(c_0(c_3(z0)))))))))))))))))) -> 1(3(3(2(3(0(2(1(3(1(1(3(1(2(1(0(0(0(z0))))))))))))))))))
   1(c_2(c_1(c_0(c_3(c_1(c_3(c_3(c_2(c_2(c_2(c_2(c_0(c_0(c_3(c_1(c_0(c_1(z0)))))))))))))))))) -> 3(1(2(0(1(3(2(3(2(2(0(0(0(2(3(1(1(1(z0))))))))))))))))))
   1(c_2(c_3(c_3(c_1(c_2(c_2(c_2(c_1(c_0(c_1(c_2(c_0(c_1(c_3(c_2(c_0(c_1(z0)))))))))))))))))) -> 3(3(0(0(2(0(2(2(1(1(1(3(1(2(2(1(2(1(z0))))))))))))))))))
   1(c_0(c_1(c_3(c_2(c_2(c_3(c_2(c_0(c_0(c_1(c_0(c_3(c_2(c_3(c_2(c_3(c_3(z0)))))))))))))))))) -> 1(3(3(1(2(2(0(3(0(0(1(3(0(2(2(3(2(3(z0))))))))))))))))))
   1(c_1(c_1(c_3(c_1(c_3(c_1(c_0(c_3(c_2(c_1(c_3(c_2(c_1(c_0(c_3(c_0(c_3(z0)))))))))))))))))) -> 1(2(2(3(0(1(3(1(1(3(0(0(1(3(1(1(3(3(z0))))))))))))))))))
   1(c_3(c_3(c_0(c_1(c_1(c_3(c_2(c_2(c_1(c_1(c_0(c_3(c_1(c_2(c_1(c_0(c_0(z0)))))))))))))))))) -> 1(3(1(1(0(0(1(1(2(1(3(0(2(3(1(0(2(3(z0))))))))))))))))))
   1(c_1(c_1(c_1(c_0(c_1(c_3(c_2(c_1(c_1(c_2(c_2(c_0(c_2(c_2(c_3(c_0(c_2(z0)))))))))))))))))) -> 1(1(1(2(3(0(2(2(1(1(1(2(3(0(1(2(0(2(z0))))))))))))))))))
   1(c_1(c_3(c_3(c_2(c_1(c_3(c_3(c_2(c_0(c_1(c_3(c_3(c_3(c_0(c_3(c_2(c_1(z0)))))))))))))))))) -> 1(3(1(3(0(3(3(3(1(3(3(2(3(1(2(0(2(1(z0))))))))))))))))))
   1(c_0(c_2(c_3(c_1(c_2(c_3(c_1(c_2(c_3(c_2(c_3(c_2(c_1(c_2(c_2(c_2(c_2(z0)))))))))))))))))) -> 2(3(2(2(3(0(2(1(3(2(2(1(1(1(3(2(2(2(z0))))))))))))))))))
   1(c_3(c_3(c_2(c_2(c_1(c_0(c_3(c_2(c_1(c_1(c_1(c_2(c_3(c_1(c_0(c_1(c_0(z0)))))))))))))))))) -> 2(0(1(2(1(2(1(3(1(1(3(0(3(2(1(3(0(1(z0))))))))))))))))))
   1(c_2(c_3(c_1(c_1(c_0(c_0(c_3(c_3(c_0(c_2(c_1(c_3(c_3(c_0(c_3(c_2(c_3(z0)))))))))))))))))) -> 3(1(3(0(2(3(3(1(3(0(2(1(2(0(0(1(3(3(z0))))))))))))))))))
   2(z0) -> c_2(z0)
   2(c_2(c_2(c_2(c_1(c_1(c_0(c_1(c_1(c_2(c_2(c_0(c_0(c_1(c_2(c_2(c_1(c_1(z0)))))))))))))))))) -> 0(2(1(2(0(2(0(2(2(1(2(2(2(1(1(1(1(1(z0))))))))))))))))))
   2(c_0(c_1(c_3(c_3(c_3(c_3(c_3(c_1(c_1(c_3(c_2(c_0(c_1(c_0(c_0(c_1(c_0(z0)))))))))))))))))) -> 1(3(0(2(1(1(3(0(2(3(0(0(3(1(3(3(1(0(z0))))))))))))))))))
   2(c_3(c_2(c_1(c_0(c_0(c_0(c_2(c_3(c_2(c_3(c_0(c_3(c_0(c_2(c_1(c_1(c_2(z0)))))))))))))))))) -> 2(2(3(0(3(0(2(1(0(2(2(0(1(3(1(3(0(2(z0))))))))))))))))))
   2(c_1(c_2(c_2(c_3(c_2(c_3(c_0(c_1(c_3(c_2(c_1(c_1(c_3(c_3(c_2(c_2(c_2(z0)))))))))))))))))) -> 2(1(1(1(3(2(3(2(2(3(0(2(3(2(1(3(2(2(z0))))))))))))))))))
   2(c_1(c_2(c_2(c_2(c_0(c_2(c_1(c_2(c_3(c_0(c_0(c_3(c_1(c_2(c_2(c_1(c_3(z0)))))))))))))))))) -> 0(2(0(2(1(3(2(2(1(3(2(2(1(3(0(2(1(2(z0))))))))))))))))))
   2(c_0(c_3(c_0(c_3(c_2(c_3(c_2(c_1(c_0(c_1(c_2(c_2(c_0(c_0(c_0(c_1(c_2(z0)))))))))))))))))) -> 0(2(2(1(2(0(1(2(0(3(0(0(2(1(3(0(3(2(z0))))))))))))))))))
   2(c_3(c_0(c_2(c_0(c_3(c_2(c_0(c_2(c_3(c_2(c_1(c_2(c_2(c_2(c_3(c_0(c_3(z0)))))))))))))))))) -> 2(3(2(3(3(0(0(2(2(2(1(3(2(0(2(3(2(0(z0))))))))))))))))))
   2(c_3(c_1(c_0(c_1(c_0(c_1(c_2(c_1(c_0(c_3(c_1(c_0(c_3(c_1(c_2(c_2(c_3(z0)))))))))))))))))) -> 2(1(2(1(1(0(1(0(2(3(0(0(3(3(3(1(1(2(z0))))))))))))))))))
   2(c_1(c_0(c_1(c_1(c_3(c_3(c_0(c_1(c_0(c_1(c_2(c_3(c_3(c_0(c_3(c_2(c_2(z0)))))))))))))))))) -> 0(3(3(1(3(3(0(2(1(1(3(1(0(2(1(2(0(2(z0))))))))))))))))))
   2(c_3(c_1(c_1(c_0(c_3(c_1(c_2(c_1(c_0(c_1(c_3(c_2(c_0(c_1(c_2(c_1(c_1(z0)))))))))))))))))) -> 2(3(2(0(1(1(1(3(2(1(1(3(0(0(1(1(2(1(z0))))))))))))))))))
   2(c_1(c_2(c_2(c_2(c_1(c_3(c_2(c_0(c_0(c_2(c_3(c_2(c_3(c_3(c_3(c_0(c_3(z0)))))))))))))))))) -> 2(3(3(1(3(2(0(3(2(1(3(0(2(2(2(2(3(0(z0))))))))))))))))))
   2(c_2(c_1(c_2(c_3(c_2(c_0(c_2(c_0(c_3(c_1(c_0(c_1(c_1(c_0(c_1(c_3(c_3(z0)))))))))))))))))) -> 2(2(0(1(2(0(1(2(3(1(0(2(0(1(3(1(3(3(z0))))))))))))))))))
   2(c_1(c_1(c_1(c_0(c_2(c_2(c_2(c_1(c_0(c_2(c_0(c_0(c_2(c_2(c_2(c_2(c_1(z0)))))))))))))))))) -> 2(2(2(2(1(1(2(0(1(0(0(0(2(1(2(2(2(1(z0))))))))))))))))))
   2(c_3(c_2(c_2(c_2(c_3(c_0(c_3(c_1(c_0(c_3(c_2(c_1(c_1(c_2(c_0(c_2(c_3(z0)))))))))))))))))) -> 2(2(1(1(0(1(2(3(3(0(3(3(2(2(2(0(2(3(z0))))))))))))))))))
   2(c_2(c_3(c_1(c_2(c_3(c_0(c_3(c_1(c_1(c_1(c_0(c_1(c_1(c_0(c_1(c_3(c_1(z0)))))))))))))))))) -> 2(3(1(1(2(0(1(3(1(1(0(1(1(3(1(3(0(2(z0))))))))))))))))))
   2(c_2(c_0(c_3(c_1(c_2(c_0(c_3(c_1(c_2(c_1(c_3(c_0(c_1(c_0(c_3(c_0(c_0(z0)))))))))))))))))) -> 2(3(2(2(1(3(0(3(0(1(3(0(0(0(1(1(2(0(z0))))))))))))))))))
   2(c_2(c_3(c_3(c_1(c_3(c_1(c_1(c_0(c_1(c_2(c_2(c_0(c_3(c_2(c_0(c_3(c_3(z0)))))))))))))))))) -> 2(2(3(1(3(2(1(3(3(1(0(0(2(3(3(1(0(2(z0))))))))))))))))))
   2(c_1(c_3(c_3(c_3(c_1(c_2(c_1(c_2(c_1(c_0(c_0(c_3(c_1(c_3(c_2(c_0(c_0(z0)))))))))))))))))) -> 2(1(3(0(1(3(1(0(2(2(0(0(1(3(1(3(2(3(z0))))))))))))))))))
   2(c_2(c_1(c_0(c_1(c_2(c_0(c_0(c_3(c_0(c_2(c_1(c_1(c_2(c_1(c_2(c_1(c_2(z0)))))))))))))))))) -> 2(2(1(0(3(2(1(1(1(0(0(2(0(1(2(2(1(2(z0))))))))))))))))))
   2(c_3(c_3(c_2(c_3(c_1(c_0(c_1(c_1(c_1(c_3(c_1(c_0(c_1(c_0(c_3(c_2(c_0(z0)))))))))))))))))) -> 2(1(0(0(1(2(3(1(1(3(3(3(1(1(3(2(0(0(z0))))))))))))))))))
   2(c_0(c_1(c_0(c_2(c_2(c_2(c_2(c_0(c_3(c_2(c_3(c_1(c_2(c_3(c_0(c_3(c_2(z0)))))))))))))))))) -> 2(0(2(0(2(2(3(0(3(3(1(3(0(1(2(2(2(2(z0))))))))))))))))))
   2(c_1(c_2(c_3(c_3(c_3(c_0(c_2(c_0(c_0(c_2(c_2(c_1(c_0(c_2(c_0(c_2(c_0(z0)))))))))))))))))) -> 0(3(0(2(2(2(1(3(0(0(1(3(0(0(2(2(2(2(z0))))))))))))))))))
   2(c_2(c_0(c_0(c_2(c_1(c_1(c_2(c_1(c_2(c_0(c_1(c_2(c_2(c_2(c_2(c_2(c_2(z0)))))))))))))))))) -> 2(2(2(2(1(1(0(2(1(1(2(2(0(2(0(2(2(2(z0))))))))))))))))))
   2(c_2(c_1(c_1(c_3(c_1(c_0(c_0(c_1(c_2(c_3(c_2(c_3(c_1(c_0(c_1(c_1(c_0(z0)))))))))))))))))) -> 0(1(2(2(3(1(0(2(1(3(2(1(1(3(0(1(1(0(z0))))))))))))))))))
   2(c_3(c_1(c_0(c_2(c_3(c_1(c_0(c_0(c_1(c_0(c_1(c_0(c_1(c_2(c_2(c_1(c_0(z0)))))))))))))))))) -> 2(0(3(1(0(1(0(1(2(0(2(2(1(3(0(0(1(1(z0))))))))))))))))))
   2(c_0(c_0(c_3(c_1(c_2(c_3(c_2(c_0(c_2(c_3(c_0(c_1(c_2(c_2(c_0(c_0(c_2(z0)))))))))))))))))) -> 2(0(2(3(1(3(0(0(3(2(0(1(0(2(0(2(2(2(z0))))))))))))))))))
   2(c_2(c_1(c_1(c_2(c_3(c_1(c_2(c_1(c_3(c_1(c_0(c_2(c_2(c_0(c_3(c_1(c_1(z0)))))))))))))))))) -> 2(2(1(2(3(1(1(3(1(2(2(1(0(0(2(1(3(1(z0))))))))))))))))))
   3(z0) -> c_3(z0)
   3(c_1(c_0(c_0(c_3(c_0(c_3(c_2(c_3(c_2(c_3(c_0(c_1(c_0(c_1(c_1(c_2(c_3(z0)))))))))))))))))) -> 3(0(1(3(2(3(3(1(1(0(2(0(0(3(1(3(0(2(z0))))))))))))))))))
   3(c_0(c_3(c_1(c_0(c_1(c_0(c_3(c_3(c_1(c_0(c_3(c_2(c_3(c_3(c_2(c_0(c_3(z0)))))))))))))))))) -> 1(3(0(2(0(0(3(3(2(1(3(0(3(3(1(3(3(0(z0))))))))))))))))))
   3(c_0(c_1(c_0(c_1(c_2(c_3(c_3(c_1(c_2(c_3(c_2(c_1(c_1(c_1(c_3(c_3(c_0(z0)))))))))))))))))) -> 3(0(1(2(1(3(3(1(3(0(1(3(1(2(0(1(3(2(z0))))))))))))))))))
   3(c_1(c_2(c_3(c_2(c_0(c_2(c_3(c_1(c_1(c_1(c_3(c_3(c_2(c_0(c_0(c_0(c_3(z0)))))))))))))))))) -> 3(1(3(2(1(3(0(2(1(0(0(2(3(1(2(3(3(0(z0))))))))))))))))))
   3(c_2(c_3(c_2(c_2(c_0(c_3(c_3(c_2(c_0(c_1(c_0(c_0(c_2(c_0(c_1(c_1(c_1(z0)))))))))))))))))) -> 3(0(1(3(2(0(3(0(1(2(3(0(2(0(2(2(1(1(z0))))))))))))))))))
   3(c_3(c_1(c_2(c_2(c_2(c_3(c_3(c_3(c_1(c_3(c_0(c_1(c_1(c_1(c_2(c_1(c_0(z0)))))))))))))))))) -> 3(3(3(1(2(3(1(3(0(2(2(1(3(0(2(1(1(1(z0))))))))))))))))))
   3(c_1(c_1(c_0(c_3(c_0(c_1(c_1(c_3(c_2(c_1(c_2(c_3(c_3(c_1(c_3(c_3(c_1(z0)))))))))))))))))) -> 3(1(3(2(1(1(1(3(3(0(3(2(1(3(0(1(3(1(z0))))))))))))))))))
   3(c_3(c_0(c_1(c_0(c_3(c_2(c_0(c_1(c_1(c_1(c_1(c_3(c_1(c_2(c_3(c_3(c_3(z0)))))))))))))))))) -> 3(2(3(1(1(1(0(3(3(0(2(1(3(0(1(3(1(3(z0))))))))))))))))))
   3(c_3(c_1(c_0(c_3(c_2(c_3(c_0(c_3(c_1(c_0(c_2(c_0(c_3(c_0(c_2(c_2(c_0(z0)))))))))))))))))) -> 3(3(3(2(0(3(0(3(0(1(0(0(1(3(0(2(2(2(z0))))))))))))))))))
   3(c_1(c_2(c_0(c_3(c_2(c_2(c_3(c_2(c_0(c_3(c_3(c_2(c_3(c_3(c_1(c_1(c_3(z0)))))))))))))))))) -> 3(2(2(3(1(3(3(2(1(3(3(0(2(0(2(3(1(3(z0))))))))))))))))))
   3(c_2(c_0(c_1(c_2(c_1(c_0(c_3(c_3(c_3(c_3(c_1(c_2(c_1(c_1(c_0(c_1(c_0(z0)))))))))))))))))) -> 3(0(0(2(1(3(2(3(3(1(1(3(1(1(0(2(0(1(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_2(c_3(c_0(c_1(c_2(c_3(c_2(c_0(c_3(c_1(c_0(c_0(c_0(c_3(c_3(c_0(c_3(z0)))))))))))))))))) -> c9(0'(2(1(3(0(0(3(3(0(1(0(2(2(3(3(0(0(3(z0)))))))))))))))))), 2'(1(3(0(0(3(3(0(1(0(2(2(3(3(0(0(3(z0))))))))))))))))), 1'(3(0(0(3(3(0(1(0(2(2(3(3(0(0(3(z0)))))))))))))))), 3'(0(0(3(3(0(1(0(2(2(3(3(0(0(3(z0))))))))))))))), 0'(0(3(3(0(1(0(2(2(3(3(0(0(3(z0)))))))))))))), 0'(3(3(0(1(0(2(2(3(3(0(0(3(z0))))))))))))), 3'(3(0(1(0(2(2(3(3(0(0(3(z0)))))))))))), 3'(0(1(0(2(2(3(3(0(0(3(z0))))))))))), 0'(1(0(2(2(3(3(0(0(3(z0)))))))))), 1'(0(2(2(3(3(0(0(3(z0))))))))), 0'(2(2(3(3(0(0(3(z0)))))))), 2'(2(3(3(0(0(3(z0))))))), 2'(3(3(0(0(3(z0)))))), 3'(3(0(0(3(z0))))), 3'(0(0(3(z0)))), 0'(0(3(z0))), 0'(3(z0)), 3'(z0))
   0'(c_1(c_0(c_2(c_1(c_1(c_0(c_0(c_1(c_0(c_3(c_1(c_1(c_0(c_2(c_1(c_2(c_3(z0)))))))))))))))))) -> c10(0'(1(2(0(0(2(1(1(0(1(1(1(0(1(3(0(2(3(z0)))))))))))))))))), 1'(2(0(0(2(1(1(0(1(1(1(0(1(3(0(2(3(z0))))))))))))))))), 2'(0(0(2(1(1(0(1(1(1(0(1(3(0(2(3(z0)))))))))))))))), 0'(0(2(1(1(0(1(1(1(0(1(3(0(2(3(z0))))))))))))))), 0'(2(1(1(0(1(1(1(0(1(3(0(2(3(z0)))))))))))))), 2'(1(1(0(1(1(1(0(1(3(0(2(3(z0))))))))))))), 1'(1(0(1(1(1(0(1(3(0(2(3(z0)))))))))))), 1'(0(1(1(1(0(1(3(0(2(3(z0))))))))))), 0'(1(1(1(0(1(3(0(2(3(z0)))))))))), 1'(1(1(0(1(3(0(2(3(z0))))))))), 1'(1(0(1(3(0(2(3(z0)))))))), 1'(0(1(3(0(2(3(z0))))))), 0'(1(3(0(2(3(z0)))))), 1'(3(0(2(3(z0))))), 3'(0(2(3(z0)))), 0'(2(3(z0))), 2'(3(z0)), 3'(z0))
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   2'(c_0(c_0(c_3(c_1(c_2(c_3(c_2(c_0(c_2(c_3(c_0(c_1(c_2(c_2(c_0(c_0(c_2(z0)))))))))))))))))) -> c78(2'(0(2(3(1(3(0(0(3(2(0(1(0(2(0(2(2(2(z0)))))))))))))))))), 0'(2(3(1(3(0(0(3(2(0(1(0(2(0(2(2(2(z0))))))))))))))))), 2'(3(1(3(0(0(3(2(0(1(0(2(0(2(2(2(z0)))))))))))))))), 3'(1(3(0(0(3(2(0(1(0(2(0(2(2(2(z0))))))))))))))), 1'(3(0(0(3(2(0(1(0(2(0(2(2(2(z0)))))))))))))), 3'(0(0(3(2(0(1(0(2(0(2(2(2(z0))))))))))))), 0'(0(3(2(0(1(0(2(0(2(2(2(z0)))))))))))), 0'(3(2(0(1(0(2(0(2(2(2(z0))))))))))), 3'(2(0(1(0(2(0(2(2(2(z0)))))))))), 2'(0(1(0(2(0(2(2(2(z0))))))))), 0'(1(0(2(0(2(2(2(z0)))))))), 1'(0(2(0(2(2(2(z0))))))), 0'(2(0(2(2(2(z0)))))), 2'(0(2(2(2(z0))))), 0'(2(2(2(z0)))), 2'(2(2(z0))), 2'(2(z0)), 2'(z0))
   2'(c_2(c_1(c_1(c_2(c_3(c_1(c_2(c_1(c_3(c_1(c_0(c_2(c_2(c_0(c_3(c_1(c_1(z0)))))))))))))))))) -> c79(2'(2(1(2(3(1(1(3(1(2(2(1(0(0(2(1(3(1(z0)))))))))))))))))), 2'(1(2(3(1(1(3(1(2(2(1(0(0(2(1(3(1(z0))))))))))))))))), 1'(2(3(1(1(3(1(2(2(1(0(0(2(1(3(1(z0)))))))))))))))), 2'(3(1(1(3(1(2(2(1(0(0(2(1(3(1(z0))))))))))))))), 3'(1(1(3(1(2(2(1(0(0(2(1(3(1(z0)))))))))))))), 1'(1(3(1(2(2(1(0(0(2(1(3(1(z0))))))))))))), 1'(3(1(2(2(1(0(0(2(1(3(1(z0)))))))))))), 3'(1(2(2(1(0(0(2(1(3(1(z0))))))))))), 1'(2(2(1(0(0(2(1(3(1(z0)))))))))), 2'(2(1(0(0(2(1(3(1(z0))))))))), 2'(1(0(0(2(1(3(1(z0)))))))), 1'(0(0(2(1(3(1(z0))))))), 0'(0(2(1(3(1(z0)))))), 0'(2(1(3(1(z0))))), 2'(1(3(1(z0)))), 1'(3(1(z0))), 3'(1(z0)), 1'(z0))
   3'(c_1(c_0(c_0(c_3(c_0(c_3(c_2(c_3(c_2(c_3(c_0(c_1(c_0(c_1(c_1(c_2(c_3(z0)))))))))))))))))) -> c81(3'(0(1(3(2(3(3(1(1(0(2(0(0(3(1(3(0(2(z0)))))))))))))))))), 0'(1(3(2(3(3(1(1(0(2(0(0(3(1(3(0(2(z0))))))))))))))))), 1'(3(2(3(3(1(1(0(2(0(0(3(1(3(0(2(z0)))))))))))))))), 3'(2(3(3(1(1(0(2(0(0(3(1(3(0(2(z0))))))))))))))), 2'(3(3(1(1(0(2(0(0(3(1(3(0(2(z0)))))))))))))), 3'(3(1(1(0(2(0(0(3(1(3(0(2(z0))))))))))))), 3'(1(1(0(2(0(0(3(1(3(0(2(z0)))))))))))), 1'(1(0(2(0(0(3(1(3(0(2(z0))))))))))), 1'(0(2(0(0(3(1(3(0(2(z0)))))))))), 0'(2(0(0(3(1(3(0(2(z0))))))))), 2'(0(0(3(1(3(0(2(z0)))))))), 0'(0(3(1(3(0(2(z0))))))), 0'(3(1(3(0(2(z0)))))), 3'(1(3(0(2(z0))))), 1'(3(0(2(z0)))), 3'(0(2(z0))), 0'(2(z0)), 2'(z0))
   3'(c_0(c_3(c_1(c_0(c_1(c_0(c_3(c_3(c_1(c_0(c_3(c_2(c_3(c_3(c_2(c_0(c_3(z0)))))))))))))))))) -> c82(1'(3(0(2(0(0(3(3(2(1(3(0(3(3(1(3(3(0(z0)))))))))))))))))), 3'(0(2(0(0(3(3(2(1(3(0(3(3(1(3(3(0(z0))))))))))))))))), 0'(2(0(0(3(3(2(1(3(0(3(3(1(3(3(0(z0)))))))))))))))), 2'(0(0(3(3(2(1(3(0(3(3(1(3(3(0(z0))))))))))))))), 0'(0(3(3(2(1(3(0(3(3(1(3(3(0(z0)))))))))))))), 0'(3(3(2(1(3(0(3(3(1(3(3(0(z0))))))))))))), 3'(3(2(1(3(0(3(3(1(3(3(0(z0)))))))))))), 3'(2(1(3(0(3(3(1(3(3(0(z0))))))))))), 2'(1(3(0(3(3(1(3(3(0(z0)))))))))), 1'(3(0(3(3(1(3(3(0(z0))))))))), 3'(0(3(3(1(3(3(0(z0)))))))), 0'(3(3(1(3(3(0(z0))))))), 3'(3(1(3(3(0(z0)))))), 3'(1(3(3(0(z0))))), 1'(3(3(0(z0)))), 3'(3(0(z0))), 3'(0(z0)), 0'(z0))
   3'(c_0(c_1(c_0(c_1(c_2(c_3(c_3(c_1(c_2(c_3(c_2(c_1(c_1(c_1(c_3(c_3(c_0(z0)))))))))))))))))) -> c83(3'(0(1(2(1(3(3(1(3(0(1(3(1(2(0(1(3(2(z0)))))))))))))))))), 0'(1(2(1(3(3(1(3(0(1(3(1(2(0(1(3(2(z0))))))))))))))))), 1'(2(1(3(3(1(3(0(1(3(1(2(0(1(3(2(z0)))))))))))))))), 2'(1(3(3(1(3(0(1(3(1(2(0(1(3(2(z0))))))))))))))), 1'(3(3(1(3(0(1(3(1(2(0(1(3(2(z0)))))))))))))), 3'(3(1(3(0(1(3(1(2(0(1(3(2(z0))))))))))))), 3'(1(3(0(1(3(1(2(0(1(3(2(z0)))))))))))), 1'(3(0(1(3(1(2(0(1(3(2(z0))))))))))), 3'(0(1(3(1(2(0(1(3(2(z0)))))))))), 0'(1(3(1(2(0(1(3(2(z0))))))))), 1'(3(1(2(0(1(3(2(z0)))))))), 3'(1(2(0(1(3(2(z0))))))), 1'(2(0(1(3(2(z0)))))), 2'(0(1(3(2(z0))))), 0'(1(3(2(z0)))), 1'(3(2(z0))), 3'(2(z0)), 2'(z0))
   3'(c_1(c_2(c_3(c_2(c_0(c_2(c_3(c_1(c_1(c_1(c_3(c_3(c_2(c_0(c_0(c_0(c_3(z0)))))))))))))))))) -> c84(3'(1(3(2(1(3(0(2(1(0(0(2(3(1(2(3(3(0(z0)))))))))))))))))), 1'(3(2(1(3(0(2(1(0(0(2(3(1(2(3(3(0(z0))))))))))))))))), 3'(2(1(3(0(2(1(0(0(2(3(1(2(3(3(0(z0)))))))))))))))), 2'(1(3(0(2(1(0(0(2(3(1(2(3(3(0(z0))))))))))))))), 1'(3(0(2(1(0(0(2(3(1(2(3(3(0(z0)))))))))))))), 3'(0(2(1(0(0(2(3(1(2(3(3(0(z0))))))))))))), 0'(2(1(0(0(2(3(1(2(3(3(0(z0)))))))))))), 2'(1(0(0(2(3(1(2(3(3(0(z0))))))))))), 1'(0(0(2(3(1(2(3(3(0(z0)))))))))), 0'(0(2(3(1(2(3(3(0(z0))))))))), 0'(2(3(1(2(3(3(0(z0)))))))), 2'(3(1(2(3(3(0(z0))))))), 3'(1(2(3(3(0(z0)))))), 1'(2(3(3(0(z0))))), 2'(3(3(0(z0)))), 3'(3(0(z0))), 3'(0(z0)), 0'(z0))
   3'(c_2(c_3(c_2(c_2(c_0(c_3(c_3(c_2(c_0(c_1(c_0(c_0(c_2(c_0(c_1(c_1(c_1(z0)))))))))))))))))) -> c85(3'(0(1(3(2(0(3(0(1(2(3(0(2(0(2(2(1(1(z0)))))))))))))))))), 0'(1(3(2(0(3(0(1(2(3(0(2(0(2(2(1(1(z0))))))))))))))))), 1'(3(2(0(3(0(1(2(3(0(2(0(2(2(1(1(z0)))))))))))))))), 3'(2(0(3(0(1(2(3(0(2(0(2(2(1(1(z0))))))))))))))), 2'(0(3(0(1(2(3(0(2(0(2(2(1(1(z0)))))))))))))), 0'(3(0(1(2(3(0(2(0(2(2(1(1(z0))))))))))))), 3'(0(1(2(3(0(2(0(2(2(1(1(z0)))))))))))), 0'(1(2(3(0(2(0(2(2(1(1(z0))))))))))), 1'(2(3(0(2(0(2(2(1(1(z0)))))))))), 2'(3(0(2(0(2(2(1(1(z0))))))))), 3'(0(2(0(2(2(1(1(z0)))))))), 0'(2(0(2(2(1(1(z0))))))), 2'(0(2(2(1(1(z0)))))), 0'(2(2(1(1(z0))))), 2'(2(1(1(z0)))), 2'(1(1(z0))), 1'(1(z0)), 1'(z0))
   3'(c_3(c_1(c_2(c_2(c_2(c_3(c_3(c_3(c_1(c_3(c_0(c_1(c_1(c_1(c_2(c_1(c_0(z0)))))))))))))))))) -> c86(3'(3(3(1(2(3(1(3(0(2(2(1(3(0(2(1(1(1(z0)))))))))))))))))), 3'(3(1(2(3(1(3(0(2(2(1(3(0(2(1(1(1(z0))))))))))))))))), 3'(1(2(3(1(3(0(2(2(1(3(0(2(1(1(1(z0)))))))))))))))), 1'(2(3(1(3(0(2(2(1(3(0(2(1(1(1(z0))))))))))))))), 2'(3(1(3(0(2(2(1(3(0(2(1(1(1(z0)))))))))))))), 3'(1(3(0(2(2(1(3(0(2(1(1(1(z0))))))))))))), 1'(3(0(2(2(1(3(0(2(1(1(1(z0)))))))))))), 3'(0(2(2(1(3(0(2(1(1(1(z0))))))))))), 0'(2(2(1(3(0(2(1(1(1(z0)))))))))), 2'(2(1(3(0(2(1(1(1(z0))))))))), 2'(1(3(0(2(1(1(1(z0)))))))), 1'(3(0(2(1(1(1(z0))))))), 3'(0(2(1(1(1(z0)))))), 0'(2(1(1(1(z0))))), 2'(1(1(1(z0)))), 1'(1(1(z0))), 1'(1(z0)), 1'(z0))
   3'(c_1(c_1(c_0(c_3(c_0(c_1(c_1(c_3(c_2(c_1(c_2(c_3(c_3(c_1(c_3(c_3(c_1(z0)))))))))))))))))) -> c87(3'(1(3(2(1(1(1(3(3(0(3(2(1(3(0(1(3(1(z0)))))))))))))))))), 1'(3(2(1(1(1(3(3(0(3(2(1(3(0(1(3(1(z0))))))))))))))))), 3'(2(1(1(1(3(3(0(3(2(1(3(0(1(3(1(z0)))))))))))))))), 2'(1(1(1(3(3(0(3(2(1(3(0(1(3(1(z0))))))))))))))), 1'(1(1(3(3(0(3(2(1(3(0(1(3(1(z0)))))))))))))), 1'(1(3(3(0(3(2(1(3(0(1(3(1(z0))))))))))))), 1'(3(3(0(3(2(1(3(0(1(3(1(z0)))))))))))), 3'(3(0(3(2(1(3(0(1(3(1(z0))))))))))), 3'(0(3(2(1(3(0(1(3(1(z0)))))))))), 0'(3(2(1(3(0(1(3(1(z0))))))))), 3'(2(1(3(0(1(3(1(z0)))))))), 2'(1(3(0(1(3(1(z0))))))), 1'(3(0(1(3(1(z0)))))), 3'(0(1(3(1(z0))))), 0'(1(3(1(z0)))), 1'(3(1(z0))), 3'(1(z0)), 1'(z0))
   3'(c_3(c_0(c_1(c_0(c_3(c_2(c_0(c_1(c_1(c_1(c_1(c_3(c_1(c_2(c_3(c_3(c_3(z0)))))))))))))))))) -> c88(3'(2(3(1(1(1(0(3(3(0(2(1(3(0(1(3(1(3(z0)))))))))))))))))), 2'(3(1(1(1(0(3(3(0(2(1(3(0(1(3(1(3(z0))))))))))))))))), 3'(1(1(1(0(3(3(0(2(1(3(0(1(3(1(3(z0)))))))))))))))), 1'(1(1(0(3(3(0(2(1(3(0(1(3(1(3(z0))))))))))))))), 1'(1(0(3(3(0(2(1(3(0(1(3(1(3(z0)))))))))))))), 1'(0(3(3(0(2(1(3(0(1(3(1(3(z0))))))))))))), 0'(3(3(0(2(1(3(0(1(3(1(3(z0)))))))))))), 3'(3(0(2(1(3(0(1(3(1(3(z0))))))))))), 3'(0(2(1(3(0(1(3(1(3(z0)))))))))), 0'(2(1(3(0(1(3(1(3(z0))))))))), 2'(1(3(0(1(3(1(3(z0)))))))), 1'(3(0(1(3(1(3(z0))))))), 3'(0(1(3(1(3(z0)))))), 0'(1(3(1(3(z0))))), 1'(3(1(3(z0)))), 3'(1(3(z0))), 1'(3(z0)), 3'(z0))
   3'(c_3(c_1(c_0(c_3(c_2(c_3(c_0(c_3(c_1(c_0(c_2(c_0(c_3(c_0(c_2(c_2(c_0(z0)))))))))))))))))) -> c89(3'(3(3(2(0(3(0(3(0(1(0(0(1(3(0(2(2(2(z0)))))))))))))))))), 3'(3(2(0(3(0(3(0(1(0(0(1(3(0(2(2(2(z0))))))))))))))))), 3'(2(0(3(0(3(0(1(0(0(1(3(0(2(2(2(z0)))))))))))))))), 2'(0(3(0(3(0(1(0(0(1(3(0(2(2(2(z0))))))))))))))), 0'(3(0(3(0(1(0(0(1(3(0(2(2(2(z0)))))))))))))), 3'(0(3(0(1(0(0(1(3(0(2(2(2(z0))))))))))))), 0'(3(0(1(0(0(1(3(0(2(2(2(z0)))))))))))), 3'(0(1(0(0(1(3(0(2(2(2(z0))))))))))), 0'(1(0(0(1(3(0(2(2(2(z0)))))))))), 1'(0(0(1(3(0(2(2(2(z0))))))))), 0'(0(1(3(0(2(2(2(z0)))))))), 0'(1(3(0(2(2(2(z0))))))), 1'(3(0(2(2(2(z0)))))), 3'(0(2(2(2(z0))))), 0'(2(2(2(z0)))), 2'(2(2(z0))), 2'(2(z0)), 2'(z0))
   3'(c_1(c_2(c_0(c_3(c_2(c_2(c_3(c_2(c_0(c_3(c_3(c_2(c_3(c_3(c_1(c_1(c_3(z0)))))))))))))))))) -> c90(3'(2(2(3(1(3(3(2(1(3(3(0(2(0(2(3(1(3(z0)))))))))))))))))), 2'(2(3(1(3(3(2(1(3(3(0(2(0(2(3(1(3(z0))))))))))))))))), 2'(3(1(3(3(2(1(3(3(0(2(0(2(3(1(3(z0)))))))))))))))), 3'(1(3(3(2(1(3(3(0(2(0(2(3(1(3(z0))))))))))))))), 1'(3(3(2(1(3(3(0(2(0(2(3(1(3(z0)))))))))))))), 3'(3(2(1(3(3(0(2(0(2(3(1(3(z0))))))))))))), 3'(2(1(3(3(0(2(0(2(3(1(3(z0)))))))))))), 2'(1(3(3(0(2(0(2(3(1(3(z0))))))))))), 1'(3(3(0(2(0(2(3(1(3(z0)))))))))), 3'(3(0(2(0(2(3(1(3(z0))))))))), 3'(0(2(0(2(3(1(3(z0)))))))), 0'(2(0(2(3(1(3(z0))))))), 2'(0(2(3(1(3(z0)))))), 0'(2(3(1(3(z0))))), 2'(3(1(3(z0)))), 3'(1(3(z0))), 1'(3(z0)), 3'(z0))
   3'(c_2(c_0(c_1(c_2(c_1(c_0(c_3(c_3(c_3(c_3(c_1(c_2(c_1(c_1(c_0(c_1(c_0(z0)))))))))))))))))) -> c91(3'(0(0(2(1(3(2(3(3(1(1(3(1(1(0(2(0(1(z0)))))))))))))))))), 0'(0(2(1(3(2(3(3(1(1(3(1(1(0(2(0(1(z0))))))))))))))))), 0'(2(1(3(2(3(3(1(1(3(1(1(0(2(0(1(z0)))))))))))))))), 2'(1(3(2(3(3(1(1(3(1(1(0(2(0(1(z0))))))))))))))), 1'(3(2(3(3(1(1(3(1(1(0(2(0(1(z0)))))))))))))), 3'(2(3(3(1(1(3(1(1(0(2(0(1(z0))))))))))))), 2'(3(3(1(1(3(1(1(0(2(0(1(z0)))))))))))), 3'(3(1(1(3(1(1(0(2(0(1(z0))))))))))), 3'(1(1(3(1(1(0(2(0(1(z0)))))))))), 1'(1(3(1(1(0(2(0(1(z0))))))))), 1'(3(1(1(0(2(0(1(z0)))))))), 3'(1(1(0(2(0(1(z0))))))), 1'(1(0(2(0(1(z0)))))), 1'(0(2(0(1(z0))))), 0'(2(0(1(z0)))), 2'(0(1(z0))), 0'(1(z0)), 1'(z0))
   ENCODE_0(z0) -> c8(0'(encArg(z0)))
   ENCODE_2(z0) -> c8(2'(encArg(z0)))
   ENCODE_1(z0) -> c8(1'(encArg(z0)))
   ENCODE_3(z0) -> c8(3'(encArg(z0)))
S tuples:
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   3'(c_1(c_0(c_0(c_3(c_0(c_3(c_2(c_3(c_2(c_3(c_0(c_1(c_0(c_1(c_1(c_2(c_3(z0)))))))))))))))))) -> c81(3'(0(1(3(2(3(3(1(1(0(2(0(0(3(1(3(0(2(z0)))))))))))))))))), 0'(1(3(2(3(3(1(1(0(2(0(0(3(1(3(0(2(z0))))))))))))))))), 1'(3(2(3(3(1(1(0(2(0(0(3(1(3(0(2(z0)))))))))))))))), 3'(2(3(3(1(1(0(2(0(0(3(1(3(0(2(z0))))))))))))))), 2'(3(3(1(1(0(2(0(0(3(1(3(0(2(z0)))))))))))))), 3'(3(1(1(0(2(0(0(3(1(3(0(2(z0))))))))))))), 3'(1(1(0(2(0(0(3(1(3(0(2(z0)))))))))))), 1'(1(0(2(0(0(3(1(3(0(2(z0))))))))))), 1'(0(2(0(0(3(1(3(0(2(z0)))))))))), 0'(2(0(0(3(1(3(0(2(z0))))))))), 2'(0(0(3(1(3(0(2(z0)))))))), 0'(0(3(1(3(0(2(z0))))))), 0'(3(1(3(0(2(z0)))))), 3'(1(3(0(2(z0))))), 1'(3(0(2(z0)))), 3'(0(2(z0))), 0'(2(z0)), 2'(z0))
   3'(c_0(c_3(c_1(c_0(c_1(c_0(c_3(c_3(c_1(c_0(c_3(c_2(c_3(c_3(c_2(c_0(c_3(z0)))))))))))))))))) -> c82(1'(3(0(2(0(0(3(3(2(1(3(0(3(3(1(3(3(0(z0)))))))))))))))))), 3'(0(2(0(0(3(3(2(1(3(0(3(3(1(3(3(0(z0))))))))))))))))), 0'(2(0(0(3(3(2(1(3(0(3(3(1(3(3(0(z0)))))))))))))))), 2'(0(0(3(3(2(1(3(0(3(3(1(3(3(0(z0))))))))))))))), 0'(0(3(3(2(1(3(0(3(3(1(3(3(0(z0)))))))))))))), 0'(3(3(2(1(3(0(3(3(1(3(3(0(z0))))))))))))), 3'(3(2(1(3(0(3(3(1(3(3(0(z0)))))))))))), 3'(2(1(3(0(3(3(1(3(3(0(z0))))))))))), 2'(1(3(0(3(3(1(3(3(0(z0)))))))))), 1'(3(0(3(3(1(3(3(0(z0))))))))), 3'(0(3(3(1(3(3(0(z0)))))))), 0'(3(3(1(3(3(0(z0))))))), 3'(3(1(3(3(0(z0)))))), 3'(1(3(3(0(z0))))), 1'(3(3(0(z0)))), 3'(3(0(z0))), 3'(0(z0)), 0'(z0))
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K tuples:none
Defined Rule Symbols:   2_1, 1_1, 0_1, 3_1, encArg_1, encode_0_1, encode_2_1, encode_1_1, encode_3_1

Defined Pair Symbols:   ENCARG_1, 0'_1, 1'_1, 2'_1, 3'_1, ENCODE_0_1, ENCODE_2_1, ENCODE_1_1, ENCODE_3_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, c21_18, c22_18, c23_18, c24_18, c25_18, c26_18, c27_18, c28_18, c29_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, c43_18, c44_18, c45_18, c46_18, c47_18, c48_18, c49_18, c50_18, c51_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_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, c81_18, c82_18, c83_18, c84_18, c85_18, c86_18, c87_18, c88_18, c89_18, c90_18, c91_18, c8_1


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(45) CdtUsableRulesProof (BOTH BOUNDS(ID, ID))
The following rules are not usable and were removed:
   encode_0(z0) -> 0(encArg(z0))
   encode_2(z0) -> 2(encArg(z0))
   encode_1(z0) -> 1(encArg(z0))
   encode_3(z0) -> 3(encArg(z0))

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

(46)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(cons_0(z0)) -> 0(encArg(z0))
   encArg(cons_1(z0)) -> 1(encArg(z0))
   encArg(cons_2(z0)) -> 2(encArg(z0))
   encArg(cons_3(z0)) -> 3(encArg(z0))
   0(z0) -> c_0(z0)
   0(c_2(c_3(c_0(c_1(c_2(c_3(c_2(c_0(c_3(c_1(c_0(c_0(c_0(c_3(c_3(c_0(c_3(z0)))))))))))))))))) -> 0(2(1(3(0(0(3(3(0(1(0(2(2(3(3(0(0(3(z0))))))))))))))))))
   0(c_1(c_0(c_2(c_1(c_1(c_0(c_0(c_1(c_0(c_3(c_1(c_1(c_0(c_2(c_1(c_2(c_3(z0)))))))))))))))))) -> 0(1(2(0(0(2(1(1(0(1(1(1(0(1(3(0(2(3(z0))))))))))))))))))
   0(c_1(c_0(c_3(c_2(c_0(c_0(c_0(c_3(c_3(c_0(c_2(c_2(c_2(c_2(c_1(c_1(c_1(z0)))))))))))))))))) -> 0(0(1(1(3(0(3(0(0(2(2(2(0(2(2(1(3(1(z0))))))))))))))))))
   0(c_0(c_3(c_1(c_0(c_2(c_2(c_0(c_2(c_3(c_1(c_1(c_0(c_1(c_2(c_2(c_0(c_1(z0)))))))))))))))))) -> 0(2(1(1(3(0(0(0(1(0(2(3(1(2(2(0(2(1(z0))))))))))))))))))
   0(c_3(c_2(c_0(c_3(c_1(c_0(c_1(c_0(c_3(c_0(c_3(c_0(c_0(c_3(c_0(c_0(c_0(z0)))))))))))))))))) -> 0(3(0(0(0(0(1(2(0(3(3(0(0(3(0(1(3(0(z0))))))))))))))))))
   0(c_1(c_2(c_3(c_2(c_1(c_0(c_1(c_2(c_2(c_0(c_0(c_1(c_0(c_3(c_1(c_0(c_1(z0)))))))))))))))))) -> 0(2(1(1(1(0(2(2(0(0(1(1(0(3(0(1(3(2(z0))))))))))))))))))
   0(c_2(c_1(c_0(c_3(c_0(c_3(c_0(c_3(c_2(c_0(c_1(c_0(c_1(c_2(c_2(c_1(c_1(z0)))))))))))))))))) -> 0(2(3(0(3(2(2(1(2(1(1(0(0(3(0(0(1(1(z0))))))))))))))))))
   0(c_0(c_2(c_2(c_1(c_3(c_2(c_2(c_2(c_1(c_0(c_2(c_2(c_0(c_2(c_2(c_0(c_0(z0)))))))))))))))))) -> 0(2(2(2(2(1(3(0(0(2(1(0(2(2(2(2(0(0(z0))))))))))))))))))
   0(c_3(c_1(c_1(c_2(c_3(c_0(c_3(c_0(c_1(c_0(c_1(c_2(c_2(c_1(c_0(c_2(c_2(z0)))))))))))))))))) -> 0(0(1(3(0(0(2(2(2(3(2(1(1(1(1(0(3(2(z0))))))))))))))))))
   0(c_1(c_1(c_1(c_1(c_3(c_1(c_1(c_0(c_1(c_3(c_1(c_0(c_2(c_3(c_3(c_3(c_2(z0)))))))))))))))))) -> 0(2(0(1(3(1(1(3(1(0(1(3(2(1(3(1(1(3(z0))))))))))))))))))
   0(c_3(c_0(c_1(c_0(c_3(c_0(c_1(c_1(c_1(c_2(c_0(c_0(c_0(c_3(c_2(c_1(c_0(z0)))))))))))))))))) -> 0(0(2(2(1(3(0(0(1(3(0(1(0(1(0(0(1(3(z0))))))))))))))))))
   1(z0) -> c_1(z0)
   1(c_0(c_1(c_0(c_2(c_0(c_2(c_3(c_1(c_1(c_2(c_2(c_0(c_0(c_3(c_0(c_3(c_2(z0)))))))))))))))))) -> 0(0(0(1(1(3(1(3(2(0(0(2(2(1(3(0(2(2(z0))))))))))))))))))
   1(c_2(c_0(c_0(c_2(c_1(c_3(c_2(c_2(c_3(c_2(c_2(c_0(c_3(c_2(c_3(c_2(c_2(z0)))))))))))))))))) -> 1(2(0(3(2(2(2(2(3(0(0(2(2(2(3(1(3(2(z0))))))))))))))))))
   1(c_0(c_2(c_3(c_3(c_3(c_1(c_0(c_2(c_0(c_1(c_2(c_2(c_3(c_2(c_1(c_0(c_1(z0)))))))))))))))))) -> 2(3(2(1(0(1(3(1(3(0(2(3(0(2(0(1(2(1(z0))))))))))))))))))
   1(c_1(c_1(c_2(c_1(c_1(c_1(c_2(c_1(c_3(c_1(c_0(c_1(c_2(c_1(c_2(c_3(c_1(z0)))))))))))))))))) -> 1(1(1(1(1(1(3(0(2(2(1(1(1(2(3(1(2(1(z0))))))))))))))))))
   1(c_1(c_0(c_3(c_1(c_0(c_2(c_3(c_1(c_1(c_0(c_3(c_3(c_0(c_3(c_1(c_1(c_1(z0)))))))))))))))))) -> 1(1(3(1(3(2(3(0(1(0(3(0(1(3(1(0(1(1(z0))))))))))))))))))
   1(c_3(c_2(c_2(c_1(c_0(c_1(c_2(c_1(c_0(c_3(c_1(c_0(c_3(c_2(c_3(c_0(c_3(z0)))))))))))))))))) -> 3(1(3(2(1(1(0(0(2(0(0(3(1(3(2(2(1(3(z0))))))))))))))))))
   1(c_2(c_1(c_2(c_1(c_2(c_0(c_1(c_0(c_1(c_3(c_1(c_0(c_0(c_0(c_1(c_3(c_3(z0)))))))))))))))))) -> 1(1(2(2(1(0(1(3(0(1(1(3(0(2(1(3(0(0(z0))))))))))))))))))
   1(c_2(c_0(c_1(c_2(c_1(c_0(c_2(c_0(c_0(c_3(c_1(c_0(c_2(c_0(c_3(c_2(c_2(z0)))))))))))))))))) -> 1(1(0(0(0(2(1(0(2(0(3(2(2(1(0(2(3(2(z0))))))))))))))))))
   1(c_3(c_1(c_1(c_0(c_1(c_2(c_1(c_1(c_1(c_0(c_3(c_1(c_1(c_0(c_2(c_3(c_1(z0)))))))))))))))))) -> 1(1(3(2(1(3(1(1(0(0(1(3(2(1(0(1(1(1(z0))))))))))))))))))
   1(c_3(c_1(c_3(c_2(c_0(c_1(c_3(c_1(c_1(c_3(c_2(c_3(c_3(c_3(c_3(c_0(c_1(z0)))))))))))))))))) -> 1(3(3(3(1(2(3(1(3(0(2(1(1(3(0(3(3(1(z0))))))))))))))))))
   1(c_0(c_0(c_0(c_1(c_2(c_3(c_3(c_2(c_2(c_1(c_0(c_2(c_3(c_3(c_2(c_0(c_3(z0)))))))))))))))))) -> 3(0(2(1(1(3(3(1(0(0(2(0(2(2(3(2(0(3(z0))))))))))))))))))
   1(c_1(c_0(c_0(c_1(c_2(c_1(c_2(c_2(c_0(c_3(c_1(c_2(c_3(c_2(c_0(c_0(c_3(z0)))))))))))))))))) -> 1(2(2(0(2(1(0(2(1(0(0(2(3(0(1(1(3(3(z0))))))))))))))))))
   1(c_2(c_0(c_2(c_0(c_0(c_0(c_3(c_0(c_1(c_0(c_1(c_1(c_0(c_3(c_1(c_0(c_3(z0)))))))))))))))))) -> 1(3(0(3(1(1(0(1(1(0(0(0(2(2(3(0(0(0(z0))))))))))))))))))
   1(c_1(c_0(c_3(c_1(c_0(c_3(c_3(c_3(c_1(c_1(c_2(c_2(c_2(c_2(c_0(c_1(c_2(z0)))))))))))))))))) -> 2(1(1(0(0(1(1(2(3(3(3(0(1(2(3(2(1(2(z0))))))))))))))))))
   1(c_3(c_3(c_0(c_0(c_3(c_3(c_1(c_0(c_0(c_2(c_3(c_3(c_1(c_3(c_2(c_3(c_1(z0)))))))))))))))))) -> 1(3(0(0(1(3(0(1(3(3(2(2(3(3(3(3(0(1(z0))))))))))))))))))
   1(c_2(c_3(c_3(c_2(c_1(c_0(c_3(c_2(c_2(c_1(c_0(c_3(c_1(c_0(c_0(c_0(c_0(z0)))))))))))))))))) -> 0(3(0(1(2(1(3(0(1(0(2(1(2(3(3(0(2(0(z0))))))))))))))))))
   1(c_0(c_3(c_0(c_3(c_1(c_0(c_3(c_3(c_1(c_2(c_1(c_3(c_2(c_0(c_2(c_1(c_0(z0)))))))))))))))))) -> 2(2(1(3(0(0(1(3(1(0(2(0(0(3(3(3(1(1(z0))))))))))))))))))
   1(c_2(c_3(c_0(c_3(c_2(c_0(c_2(c_0(c_2(c_0(c_3(c_2(c_0(c_2(c_2(c_0(c_0(z0)))))))))))))))))) -> 1(2(2(2(0(3(3(0(0(2(0(0(0(2(2(2(3(0(z0))))))))))))))))))
   1(c_1(c_3(c_2(c_0(c_2(c_3(c_1(c_0(c_1(c_0(c_2(c_3(c_3(c_2(c_2(c_0(c_0(z0)))))))))))))))))) -> 2(0(2(3(2(0(2(0(1(2(1(3(0(1(3(0(1(3(z0))))))))))))))))))
   1(c_0(c_3(c_3(c_1(c_0(c_3(c_3(c_3(c_1(c_1(c_3(c_2(c_0(c_0(c_1(c_3(c_1(z0)))))))))))))))))) -> 1(3(3(0(1(3(3(0(1(3(3(0(1(3(2(1(0(1(z0))))))))))))))))))
   1(c_2(c_1(c_3(c_2(c_3(c_3(c_1(c_1(c_1(c_0(c_1(c_0(c_0(c_3(c_2(c_0(c_3(z0)))))))))))))))))) -> 1(3(3(2(3(0(2(1(3(1(1(3(1(2(1(0(0(0(z0))))))))))))))))))
   1(c_2(c_1(c_0(c_3(c_1(c_3(c_3(c_2(c_2(c_2(c_2(c_0(c_0(c_3(c_1(c_0(c_1(z0)))))))))))))))))) -> 3(1(2(0(1(3(2(3(2(2(0(0(0(2(3(1(1(1(z0))))))))))))))))))
   1(c_2(c_3(c_3(c_1(c_2(c_2(c_2(c_1(c_0(c_1(c_2(c_0(c_1(c_3(c_2(c_0(c_1(z0)))))))))))))))))) -> 3(3(0(0(2(0(2(2(1(1(1(3(1(2(2(1(2(1(z0))))))))))))))))))
   1(c_0(c_1(c_3(c_2(c_2(c_3(c_2(c_0(c_0(c_1(c_0(c_3(c_2(c_3(c_2(c_3(c_3(z0)))))))))))))))))) -> 1(3(3(1(2(2(0(3(0(0(1(3(0(2(2(3(2(3(z0))))))))))))))))))
   1(c_1(c_1(c_3(c_1(c_3(c_1(c_0(c_3(c_2(c_1(c_3(c_2(c_1(c_0(c_3(c_0(c_3(z0)))))))))))))))))) -> 1(2(2(3(0(1(3(1(1(3(0(0(1(3(1(1(3(3(z0))))))))))))))))))
   1(c_3(c_3(c_0(c_1(c_1(c_3(c_2(c_2(c_1(c_1(c_0(c_3(c_1(c_2(c_1(c_0(c_0(z0)))))))))))))))))) -> 1(3(1(1(0(0(1(1(2(1(3(0(2(3(1(0(2(3(z0))))))))))))))))))
   1(c_1(c_1(c_1(c_0(c_1(c_3(c_2(c_1(c_1(c_2(c_2(c_0(c_2(c_2(c_3(c_0(c_2(z0)))))))))))))))))) -> 1(1(1(2(3(0(2(2(1(1(1(2(3(0(1(2(0(2(z0))))))))))))))))))
   1(c_1(c_3(c_3(c_2(c_1(c_3(c_3(c_2(c_0(c_1(c_3(c_3(c_3(c_0(c_3(c_2(c_1(z0)))))))))))))))))) -> 1(3(1(3(0(3(3(3(1(3(3(2(3(1(2(0(2(1(z0))))))))))))))))))
   1(c_0(c_2(c_3(c_1(c_2(c_3(c_1(c_2(c_3(c_2(c_3(c_2(c_1(c_2(c_2(c_2(c_2(z0)))))))))))))))))) -> 2(3(2(2(3(0(2(1(3(2(2(1(1(1(3(2(2(2(z0))))))))))))))))))
   1(c_3(c_3(c_2(c_2(c_1(c_0(c_3(c_2(c_1(c_1(c_1(c_2(c_3(c_1(c_0(c_1(c_0(z0)))))))))))))))))) -> 2(0(1(2(1(2(1(3(1(1(3(0(3(2(1(3(0(1(z0))))))))))))))))))
   1(c_2(c_3(c_1(c_1(c_0(c_0(c_3(c_3(c_0(c_2(c_1(c_3(c_3(c_0(c_3(c_2(c_3(z0)))))))))))))))))) -> 3(1(3(0(2(3(3(1(3(0(2(1(2(0(0(1(3(3(z0))))))))))))))))))
   2(z0) -> c_2(z0)
   2(c_2(c_2(c_2(c_1(c_1(c_0(c_1(c_1(c_2(c_2(c_0(c_0(c_1(c_2(c_2(c_1(c_1(z0)))))))))))))))))) -> 0(2(1(2(0(2(0(2(2(1(2(2(2(1(1(1(1(1(z0))))))))))))))))))
   2(c_0(c_1(c_3(c_3(c_3(c_3(c_3(c_1(c_1(c_3(c_2(c_0(c_1(c_0(c_0(c_1(c_0(z0)))))))))))))))))) -> 1(3(0(2(1(1(3(0(2(3(0(0(3(1(3(3(1(0(z0))))))))))))))))))
   2(c_3(c_2(c_1(c_0(c_0(c_0(c_2(c_3(c_2(c_3(c_0(c_3(c_0(c_2(c_1(c_1(c_2(z0)))))))))))))))))) -> 2(2(3(0(3(0(2(1(0(2(2(0(1(3(1(3(0(2(z0))))))))))))))))))
   2(c_1(c_2(c_2(c_3(c_2(c_3(c_0(c_1(c_3(c_2(c_1(c_1(c_3(c_3(c_2(c_2(c_2(z0)))))))))))))))))) -> 2(1(1(1(3(2(3(2(2(3(0(2(3(2(1(3(2(2(z0))))))))))))))))))
   2(c_1(c_2(c_2(c_2(c_0(c_2(c_1(c_2(c_3(c_0(c_0(c_3(c_1(c_2(c_2(c_1(c_3(z0)))))))))))))))))) -> 0(2(0(2(1(3(2(2(1(3(2(2(1(3(0(2(1(2(z0))))))))))))))))))
   2(c_0(c_3(c_0(c_3(c_2(c_3(c_2(c_1(c_0(c_1(c_2(c_2(c_0(c_0(c_0(c_1(c_2(z0)))))))))))))))))) -> 0(2(2(1(2(0(1(2(0(3(0(0(2(1(3(0(3(2(z0))))))))))))))))))
   2(c_3(c_0(c_2(c_0(c_3(c_2(c_0(c_2(c_3(c_2(c_1(c_2(c_2(c_2(c_3(c_0(c_3(z0)))))))))))))))))) -> 2(3(2(3(3(0(0(2(2(2(1(3(2(0(2(3(2(0(z0))))))))))))))))))
   2(c_3(c_1(c_0(c_1(c_0(c_1(c_2(c_1(c_0(c_3(c_1(c_0(c_3(c_1(c_2(c_2(c_3(z0)))))))))))))))))) -> 2(1(2(1(1(0(1(0(2(3(0(0(3(3(3(1(1(2(z0))))))))))))))))))
   2(c_1(c_0(c_1(c_1(c_3(c_3(c_0(c_1(c_0(c_1(c_2(c_3(c_3(c_0(c_3(c_2(c_2(z0)))))))))))))))))) -> 0(3(3(1(3(3(0(2(1(1(3(1(0(2(1(2(0(2(z0))))))))))))))))))
   2(c_3(c_1(c_1(c_0(c_3(c_1(c_2(c_1(c_0(c_1(c_3(c_2(c_0(c_1(c_2(c_1(c_1(z0)))))))))))))))))) -> 2(3(2(0(1(1(1(3(2(1(1(3(0(0(1(1(2(1(z0))))))))))))))))))
   2(c_1(c_2(c_2(c_2(c_1(c_3(c_2(c_0(c_0(c_2(c_3(c_2(c_3(c_3(c_3(c_0(c_3(z0)))))))))))))))))) -> 2(3(3(1(3(2(0(3(2(1(3(0(2(2(2(2(3(0(z0))))))))))))))))))
   2(c_2(c_1(c_2(c_3(c_2(c_0(c_2(c_0(c_3(c_1(c_0(c_1(c_1(c_0(c_1(c_3(c_3(z0)))))))))))))))))) -> 2(2(0(1(2(0(1(2(3(1(0(2(0(1(3(1(3(3(z0))))))))))))))))))
   2(c_1(c_1(c_1(c_0(c_2(c_2(c_2(c_1(c_0(c_2(c_0(c_0(c_2(c_2(c_2(c_2(c_1(z0)))))))))))))))))) -> 2(2(2(2(1(1(2(0(1(0(0(0(2(1(2(2(2(1(z0))))))))))))))))))
   2(c_3(c_2(c_2(c_2(c_3(c_0(c_3(c_1(c_0(c_3(c_2(c_1(c_1(c_2(c_0(c_2(c_3(z0)))))))))))))))))) -> 2(2(1(1(0(1(2(3(3(0(3(3(2(2(2(0(2(3(z0))))))))))))))))))
   2(c_2(c_3(c_1(c_2(c_3(c_0(c_3(c_1(c_1(c_1(c_0(c_1(c_1(c_0(c_1(c_3(c_1(z0)))))))))))))))))) -> 2(3(1(1(2(0(1(3(1(1(0(1(1(3(1(3(0(2(z0))))))))))))))))))
   2(c_2(c_0(c_3(c_1(c_2(c_0(c_3(c_1(c_2(c_1(c_3(c_0(c_1(c_0(c_3(c_0(c_0(z0)))))))))))))))))) -> 2(3(2(2(1(3(0(3(0(1(3(0(0(0(1(1(2(0(z0))))))))))))))))))
   2(c_2(c_3(c_3(c_1(c_3(c_1(c_1(c_0(c_1(c_2(c_2(c_0(c_3(c_2(c_0(c_3(c_3(z0)))))))))))))))))) -> 2(2(3(1(3(2(1(3(3(1(0(0(2(3(3(1(0(2(z0))))))))))))))))))
   2(c_1(c_3(c_3(c_3(c_1(c_2(c_1(c_2(c_1(c_0(c_0(c_3(c_1(c_3(c_2(c_0(c_0(z0)))))))))))))))))) -> 2(1(3(0(1(3(1(0(2(2(0(0(1(3(1(3(2(3(z0))))))))))))))))))
   2(c_2(c_1(c_0(c_1(c_2(c_0(c_0(c_3(c_0(c_2(c_1(c_1(c_2(c_1(c_2(c_1(c_2(z0)))))))))))))))))) -> 2(2(1(0(3(2(1(1(1(0(0(2(0(1(2(2(1(2(z0))))))))))))))))))
   2(c_3(c_3(c_2(c_3(c_1(c_0(c_1(c_1(c_1(c_3(c_1(c_0(c_1(c_0(c_3(c_2(c_0(z0)))))))))))))))))) -> 2(1(0(0(1(2(3(1(1(3(3(3(1(1(3(2(0(0(z0))))))))))))))))))
   2(c_0(c_1(c_0(c_2(c_2(c_2(c_2(c_0(c_3(c_2(c_3(c_1(c_2(c_3(c_0(c_3(c_2(z0)))))))))))))))))) -> 2(0(2(0(2(2(3(0(3(3(1(3(0(1(2(2(2(2(z0))))))))))))))))))
   2(c_1(c_2(c_3(c_3(c_3(c_0(c_2(c_0(c_0(c_2(c_2(c_1(c_0(c_2(c_0(c_2(c_0(z0)))))))))))))))))) -> 0(3(0(2(2(2(1(3(0(0(1(3(0(0(2(2(2(2(z0))))))))))))))))))
   2(c_2(c_0(c_0(c_2(c_1(c_1(c_2(c_1(c_2(c_0(c_1(c_2(c_2(c_2(c_2(c_2(c_2(z0)))))))))))))))))) -> 2(2(2(2(1(1(0(2(1(1(2(2(0(2(0(2(2(2(z0))))))))))))))))))
   2(c_2(c_1(c_1(c_3(c_1(c_0(c_0(c_1(c_2(c_3(c_2(c_3(c_1(c_0(c_1(c_1(c_0(z0)))))))))))))))))) -> 0(1(2(2(3(1(0(2(1(3(2(1(1(3(0(1(1(0(z0))))))))))))))))))
   2(c_3(c_1(c_0(c_2(c_3(c_1(c_0(c_0(c_1(c_0(c_1(c_0(c_1(c_2(c_2(c_1(c_0(z0)))))))))))))))))) -> 2(0(3(1(0(1(0(1(2(0(2(2(1(3(0(0(1(1(z0))))))))))))))))))
   2(c_0(c_0(c_3(c_1(c_2(c_3(c_2(c_0(c_2(c_3(c_0(c_1(c_2(c_2(c_0(c_0(c_2(z0)))))))))))))))))) -> 2(0(2(3(1(3(0(0(3(2(0(1(0(2(0(2(2(2(z0))))))))))))))))))
   2(c_2(c_1(c_1(c_2(c_3(c_1(c_2(c_1(c_3(c_1(c_0(c_2(c_2(c_0(c_3(c_1(c_1(z0)))))))))))))))))) -> 2(2(1(2(3(1(1(3(1(2(2(1(0(0(2(1(3(1(z0))))))))))))))))))
   3(z0) -> c_3(z0)
   3(c_1(c_0(c_0(c_3(c_0(c_3(c_2(c_3(c_2(c_3(c_0(c_1(c_0(c_1(c_1(c_2(c_3(z0)))))))))))))))))) -> 3(0(1(3(2(3(3(1(1(0(2(0(0(3(1(3(0(2(z0))))))))))))))))))
   3(c_0(c_3(c_1(c_0(c_1(c_0(c_3(c_3(c_1(c_0(c_3(c_2(c_3(c_3(c_2(c_0(c_3(z0)))))))))))))))))) -> 1(3(0(2(0(0(3(3(2(1(3(0(3(3(1(3(3(0(z0))))))))))))))))))
   3(c_0(c_1(c_0(c_1(c_2(c_3(c_3(c_1(c_2(c_3(c_2(c_1(c_1(c_1(c_3(c_3(c_0(z0)))))))))))))))))) -> 3(0(1(2(1(3(3(1(3(0(1(3(1(2(0(1(3(2(z0))))))))))))))))))
   3(c_1(c_2(c_3(c_2(c_0(c_2(c_3(c_1(c_1(c_1(c_3(c_3(c_2(c_0(c_0(c_0(c_3(z0)))))))))))))))))) -> 3(1(3(2(1(3(0(2(1(0(0(2(3(1(2(3(3(0(z0))))))))))))))))))
   3(c_2(c_3(c_2(c_2(c_0(c_3(c_3(c_2(c_0(c_1(c_0(c_0(c_2(c_0(c_1(c_1(c_1(z0)))))))))))))))))) -> 3(0(1(3(2(0(3(0(1(2(3(0(2(0(2(2(1(1(z0))))))))))))))))))
   3(c_3(c_1(c_2(c_2(c_2(c_3(c_3(c_3(c_1(c_3(c_0(c_1(c_1(c_1(c_2(c_1(c_0(z0)))))))))))))))))) -> 3(3(3(1(2(3(1(3(0(2(2(1(3(0(2(1(1(1(z0))))))))))))))))))
   3(c_1(c_1(c_0(c_3(c_0(c_1(c_1(c_3(c_2(c_1(c_2(c_3(c_3(c_1(c_3(c_3(c_1(z0)))))))))))))))))) -> 3(1(3(2(1(1(1(3(3(0(3(2(1(3(0(1(3(1(z0))))))))))))))))))
   3(c_3(c_0(c_1(c_0(c_3(c_2(c_0(c_1(c_1(c_1(c_1(c_3(c_1(c_2(c_3(c_3(c_3(z0)))))))))))))))))) -> 3(2(3(1(1(1(0(3(3(0(2(1(3(0(1(3(1(3(z0))))))))))))))))))
   3(c_3(c_1(c_0(c_3(c_2(c_3(c_0(c_3(c_1(c_0(c_2(c_0(c_3(c_0(c_2(c_2(c_0(z0)))))))))))))))))) -> 3(3(3(2(0(3(0(3(0(1(0(0(1(3(0(2(2(2(z0))))))))))))))))))
   3(c_1(c_2(c_0(c_3(c_2(c_2(c_3(c_2(c_0(c_3(c_3(c_2(c_3(c_3(c_1(c_1(c_3(z0)))))))))))))))))) -> 3(2(2(3(1(3(3(2(1(3(3(0(2(0(2(3(1(3(z0))))))))))))))))))
   3(c_2(c_0(c_1(c_2(c_1(c_0(c_3(c_3(c_3(c_3(c_1(c_2(c_1(c_1(c_0(c_1(c_0(z0)))))))))))))))))) -> 3(0(0(2(1(3(2(3(3(1(1(3(1(1(0(2(0(1(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_2(c_3(c_0(c_1(c_2(c_3(c_2(c_0(c_3(c_1(c_0(c_0(c_0(c_3(c_3(c_0(c_3(z0)))))))))))))))))) -> c9(0'(2(1(3(0(0(3(3(0(1(0(2(2(3(3(0(0(3(z0)))))))))))))))))), 2'(1(3(0(0(3(3(0(1(0(2(2(3(3(0(0(3(z0))))))))))))))))), 1'(3(0(0(3(3(0(1(0(2(2(3(3(0(0(3(z0)))))))))))))))), 3'(0(0(3(3(0(1(0(2(2(3(3(0(0(3(z0))))))))))))))), 0'(0(3(3(0(1(0(2(2(3(3(0(0(3(z0)))))))))))))), 0'(3(3(0(1(0(2(2(3(3(0(0(3(z0))))))))))))), 3'(3(0(1(0(2(2(3(3(0(0(3(z0)))))))))))), 3'(0(1(0(2(2(3(3(0(0(3(z0))))))))))), 0'(1(0(2(2(3(3(0(0(3(z0)))))))))), 1'(0(2(2(3(3(0(0(3(z0))))))))), 0'(2(2(3(3(0(0(3(z0)))))))), 2'(2(3(3(0(0(3(z0))))))), 2'(3(3(0(0(3(z0)))))), 3'(3(0(0(3(z0))))), 3'(0(0(3(z0)))), 0'(0(3(z0))), 0'(3(z0)), 3'(z0))
   0'(c_1(c_0(c_2(c_1(c_1(c_0(c_0(c_1(c_0(c_3(c_1(c_1(c_0(c_2(c_1(c_2(c_3(z0)))))))))))))))))) -> c10(0'(1(2(0(0(2(1(1(0(1(1(1(0(1(3(0(2(3(z0)))))))))))))))))), 1'(2(0(0(2(1(1(0(1(1(1(0(1(3(0(2(3(z0))))))))))))))))), 2'(0(0(2(1(1(0(1(1(1(0(1(3(0(2(3(z0)))))))))))))))), 0'(0(2(1(1(0(1(1(1(0(1(3(0(2(3(z0))))))))))))))), 0'(2(1(1(0(1(1(1(0(1(3(0(2(3(z0)))))))))))))), 2'(1(1(0(1(1(1(0(1(3(0(2(3(z0))))))))))))), 1'(1(0(1(1(1(0(1(3(0(2(3(z0)))))))))))), 1'(0(1(1(1(0(1(3(0(2(3(z0))))))))))), 0'(1(1(1(0(1(3(0(2(3(z0)))))))))), 1'(1(1(0(1(3(0(2(3(z0))))))))), 1'(1(0(1(3(0(2(3(z0)))))))), 1'(0(1(3(0(2(3(z0))))))), 0'(1(3(0(2(3(z0)))))), 1'(3(0(2(3(z0))))), 3'(0(2(3(z0)))), 0'(2(3(z0))), 2'(3(z0)), 3'(z0))
   0'(c_1(c_0(c_3(c_2(c_0(c_0(c_0(c_3(c_3(c_0(c_2(c_2(c_2(c_2(c_1(c_1(c_1(z0)))))))))))))))))) -> c11(0'(0(1(1(3(0(3(0(0(2(2(2(0(2(2(1(3(1(z0)))))))))))))))))), 0'(1(1(3(0(3(0(0(2(2(2(0(2(2(1(3(1(z0))))))))))))))))), 1'(1(3(0(3(0(0(2(2(2(0(2(2(1(3(1(z0)))))))))))))))), 1'(3(0(3(0(0(2(2(2(0(2(2(1(3(1(z0))))))))))))))), 3'(0(3(0(0(2(2(2(0(2(2(1(3(1(z0)))))))))))))), 0'(3(0(0(2(2(2(0(2(2(1(3(1(z0))))))))))))), 3'(0(0(2(2(2(0(2(2(1(3(1(z0)))))))))))), 0'(0(2(2(2(0(2(2(1(3(1(z0))))))))))), 0'(2(2(2(0(2(2(1(3(1(z0)))))))))), 2'(2(2(0(2(2(1(3(1(z0))))))))), 2'(2(0(2(2(1(3(1(z0)))))))), 2'(0(2(2(1(3(1(z0))))))), 0'(2(2(1(3(1(z0)))))), 2'(2(1(3(1(z0))))), 2'(1(3(1(z0)))), 1'(3(1(z0))), 3'(1(z0)), 1'(z0))
   0'(c_0(c_3(c_1(c_0(c_2(c_2(c_0(c_2(c_3(c_1(c_1(c_0(c_1(c_2(c_2(c_0(c_1(z0)))))))))))))))))) -> c12(0'(2(1(1(3(0(0(0(1(0(2(3(1(2(2(0(2(1(z0)))))))))))))))))), 2'(1(1(3(0(0(0(1(0(2(3(1(2(2(0(2(1(z0))))))))))))))))), 1'(1(3(0(0(0(1(0(2(3(1(2(2(0(2(1(z0)))))))))))))))), 1'(3(0(0(0(1(0(2(3(1(2(2(0(2(1(z0))))))))))))))), 3'(0(0(0(1(0(2(3(1(2(2(0(2(1(z0)))))))))))))), 0'(0(0(1(0(2(3(1(2(2(0(2(1(z0))))))))))))), 0'(0(1(0(2(3(1(2(2(0(2(1(z0)))))))))))), 0'(1(0(2(3(1(2(2(0(2(1(z0))))))))))), 1'(0(2(3(1(2(2(0(2(1(z0)))))))))), 0'(2(3(1(2(2(0(2(1(z0))))))))), 2'(3(1(2(2(0(2(1(z0)))))))), 3'(1(2(2(0(2(1(z0))))))), 1'(2(2(0(2(1(z0)))))), 2'(2(0(2(1(z0))))), 2'(0(2(1(z0)))), 0'(2(1(z0))), 2'(1(z0)), 1'(z0))
   0'(c_3(c_2(c_0(c_3(c_1(c_0(c_1(c_0(c_3(c_0(c_3(c_0(c_0(c_3(c_0(c_0(c_0(z0)))))))))))))))))) -> c13(0'(3(0(0(0(0(1(2(0(3(3(0(0(3(0(1(3(0(z0)))))))))))))))))), 3'(0(0(0(0(1(2(0(3(3(0(0(3(0(1(3(0(z0))))))))))))))))), 0'(0(0(0(1(2(0(3(3(0(0(3(0(1(3(0(z0)))))))))))))))), 0'(0(0(1(2(0(3(3(0(0(3(0(1(3(0(z0))))))))))))))), 0'(0(1(2(0(3(3(0(0(3(0(1(3(0(z0)))))))))))))), 0'(1(2(0(3(3(0(0(3(0(1(3(0(z0))))))))))))), 1'(2(0(3(3(0(0(3(0(1(3(0(z0)))))))))))), 2'(0(3(3(0(0(3(0(1(3(0(z0))))))))))), 0'(3(3(0(0(3(0(1(3(0(z0)))))))))), 3'(3(0(0(3(0(1(3(0(z0))))))))), 3'(0(0(3(0(1(3(0(z0)))))))), 0'(0(3(0(1(3(0(z0))))))), 0'(3(0(1(3(0(z0)))))), 3'(0(1(3(0(z0))))), 0'(1(3(0(z0)))), 1'(3(0(z0))), 3'(0(z0)), 0'(z0))
   0'(c_1(c_2(c_3(c_2(c_1(c_0(c_1(c_2(c_2(c_0(c_0(c_1(c_0(c_3(c_1(c_0(c_1(z0)))))))))))))))))) -> c14(0'(2(1(1(1(0(2(2(0(0(1(1(0(3(0(1(3(2(z0)))))))))))))))))), 2'(1(1(1(0(2(2(0(0(1(1(0(3(0(1(3(2(z0))))))))))))))))), 1'(1(1(0(2(2(0(0(1(1(0(3(0(1(3(2(z0)))))))))))))))), 1'(1(0(2(2(0(0(1(1(0(3(0(1(3(2(z0))))))))))))))), 1'(0(2(2(0(0(1(1(0(3(0(1(3(2(z0)))))))))))))), 0'(2(2(0(0(1(1(0(3(0(1(3(2(z0))))))))))))), 2'(2(0(0(1(1(0(3(0(1(3(2(z0)))))))))))), 2'(0(0(1(1(0(3(0(1(3(2(z0))))))))))), 0'(0(1(1(0(3(0(1(3(2(z0)))))))))), 0'(1(1(0(3(0(1(3(2(z0))))))))), 1'(1(0(3(0(1(3(2(z0)))))))), 1'(0(3(0(1(3(2(z0))))))), 0'(3(0(1(3(2(z0)))))), 3'(0(1(3(2(z0))))), 0'(1(3(2(z0)))), 1'(3(2(z0))), 3'(2(z0)), 2'(z0))
   0'(c_2(c_1(c_0(c_3(c_0(c_3(c_0(c_3(c_2(c_0(c_1(c_0(c_1(c_2(c_2(c_1(c_1(z0)))))))))))))))))) -> c15(0'(2(3(0(3(2(2(1(2(1(1(0(0(3(0(0(1(1(z0)))))))))))))))))), 2'(3(0(3(2(2(1(2(1(1(0(0(3(0(0(1(1(z0))))))))))))))))), 3'(0(3(2(2(1(2(1(1(0(0(3(0(0(1(1(z0)))))))))))))))), 0'(3(2(2(1(2(1(1(0(0(3(0(0(1(1(z0))))))))))))))), 3'(2(2(1(2(1(1(0(0(3(0(0(1(1(z0)))))))))))))), 2'(2(1(2(1(1(0(0(3(0(0(1(1(z0))))))))))))), 2'(1(2(1(1(0(0(3(0(0(1(1(z0)))))))))))), 1'(2(1(1(0(0(3(0(0(1(1(z0))))))))))), 2'(1(1(0(0(3(0(0(1(1(z0)))))))))), 1'(1(0(0(3(0(0(1(1(z0))))))))), 1'(0(0(3(0(0(1(1(z0)))))))), 0'(0(3(0(0(1(1(z0))))))), 0'(3(0(0(1(1(z0)))))), 3'(0(0(1(1(z0))))), 0'(0(1(1(z0)))), 0'(1(1(z0))), 1'(1(z0)), 1'(z0))
   0'(c_0(c_2(c_2(c_1(c_3(c_2(c_2(c_2(c_1(c_0(c_2(c_2(c_0(c_2(c_2(c_0(c_0(z0)))))))))))))))))) -> c16(0'(2(2(2(2(1(3(0(0(2(1(0(2(2(2(2(0(0(z0)))))))))))))))))), 2'(2(2(2(1(3(0(0(2(1(0(2(2(2(2(0(0(z0))))))))))))))))), 2'(2(2(1(3(0(0(2(1(0(2(2(2(2(0(0(z0)))))))))))))))), 2'(2(1(3(0(0(2(1(0(2(2(2(2(0(0(z0))))))))))))))), 2'(1(3(0(0(2(1(0(2(2(2(2(0(0(z0)))))))))))))), 1'(3(0(0(2(1(0(2(2(2(2(0(0(z0))))))))))))), 3'(0(0(2(1(0(2(2(2(2(0(0(z0)))))))))))), 0'(0(2(1(0(2(2(2(2(0(0(z0))))))))))), 0'(2(1(0(2(2(2(2(0(0(z0)))))))))), 2'(1(0(2(2(2(2(0(0(z0))))))))), 1'(0(2(2(2(2(0(0(z0)))))))), 0'(2(2(2(2(0(0(z0))))))), 2'(2(2(2(0(0(z0)))))), 2'(2(2(0(0(z0))))), 2'(2(0(0(z0)))), 2'(0(0(z0))), 0'(0(z0)), 0'(z0))
   0'(c_3(c_1(c_1(c_2(c_3(c_0(c_3(c_0(c_1(c_0(c_1(c_2(c_2(c_1(c_0(c_2(c_2(z0)))))))))))))))))) -> c17(0'(0(1(3(0(0(2(2(2(3(2(1(1(1(1(0(3(2(z0)))))))))))))))))), 0'(1(3(0(0(2(2(2(3(2(1(1(1(1(0(3(2(z0))))))))))))))))), 1'(3(0(0(2(2(2(3(2(1(1(1(1(0(3(2(z0)))))))))))))))), 3'(0(0(2(2(2(3(2(1(1(1(1(0(3(2(z0))))))))))))))), 0'(0(2(2(2(3(2(1(1(1(1(0(3(2(z0)))))))))))))), 0'(2(2(2(3(2(1(1(1(1(0(3(2(z0))))))))))))), 2'(2(2(3(2(1(1(1(1(0(3(2(z0)))))))))))), 2'(2(3(2(1(1(1(1(0(3(2(z0))))))))))), 2'(3(2(1(1(1(1(0(3(2(z0)))))))))), 3'(2(1(1(1(1(0(3(2(z0))))))))), 2'(1(1(1(1(0(3(2(z0)))))))), 1'(1(1(1(0(3(2(z0))))))), 1'(1(1(0(3(2(z0)))))), 1'(1(0(3(2(z0))))), 1'(0(3(2(z0)))), 0'(3(2(z0))), 3'(2(z0)), 2'(z0))
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   3'(c_2(c_3(c_2(c_2(c_0(c_3(c_3(c_2(c_0(c_1(c_0(c_0(c_2(c_0(c_1(c_1(c_1(z0)))))))))))))))))) -> c85(3'(0(1(3(2(0(3(0(1(2(3(0(2(0(2(2(1(1(z0)))))))))))))))))), 0'(1(3(2(0(3(0(1(2(3(0(2(0(2(2(1(1(z0))))))))))))))))), 1'(3(2(0(3(0(1(2(3(0(2(0(2(2(1(1(z0)))))))))))))))), 3'(2(0(3(0(1(2(3(0(2(0(2(2(1(1(z0))))))))))))))), 2'(0(3(0(1(2(3(0(2(0(2(2(1(1(z0)))))))))))))), 0'(3(0(1(2(3(0(2(0(2(2(1(1(z0))))))))))))), 3'(0(1(2(3(0(2(0(2(2(1(1(z0)))))))))))), 0'(1(2(3(0(2(0(2(2(1(1(z0))))))))))), 1'(2(3(0(2(0(2(2(1(1(z0)))))))))), 2'(3(0(2(0(2(2(1(1(z0))))))))), 3'(0(2(0(2(2(1(1(z0)))))))), 0'(2(0(2(2(1(1(z0))))))), 2'(0(2(2(1(1(z0)))))), 0'(2(2(1(1(z0))))), 2'(2(1(1(z0)))), 2'(1(1(z0))), 1'(1(z0)), 1'(z0))
   3'(c_3(c_1(c_2(c_2(c_2(c_3(c_3(c_3(c_1(c_3(c_0(c_1(c_1(c_1(c_2(c_1(c_0(z0)))))))))))))))))) -> c86(3'(3(3(1(2(3(1(3(0(2(2(1(3(0(2(1(1(1(z0)))))))))))))))))), 3'(3(1(2(3(1(3(0(2(2(1(3(0(2(1(1(1(z0))))))))))))))))), 3'(1(2(3(1(3(0(2(2(1(3(0(2(1(1(1(z0)))))))))))))))), 1'(2(3(1(3(0(2(2(1(3(0(2(1(1(1(z0))))))))))))))), 2'(3(1(3(0(2(2(1(3(0(2(1(1(1(z0)))))))))))))), 3'(1(3(0(2(2(1(3(0(2(1(1(1(z0))))))))))))), 1'(3(0(2(2(1(3(0(2(1(1(1(z0)))))))))))), 3'(0(2(2(1(3(0(2(1(1(1(z0))))))))))), 0'(2(2(1(3(0(2(1(1(1(z0)))))))))), 2'(2(1(3(0(2(1(1(1(z0))))))))), 2'(1(3(0(2(1(1(1(z0)))))))), 1'(3(0(2(1(1(1(z0))))))), 3'(0(2(1(1(1(z0)))))), 0'(2(1(1(1(z0))))), 2'(1(1(1(z0)))), 1'(1(1(z0))), 1'(1(z0)), 1'(z0))
   3'(c_1(c_1(c_0(c_3(c_0(c_1(c_1(c_3(c_2(c_1(c_2(c_3(c_3(c_1(c_3(c_3(c_1(z0)))))))))))))))))) -> c87(3'(1(3(2(1(1(1(3(3(0(3(2(1(3(0(1(3(1(z0)))))))))))))))))), 1'(3(2(1(1(1(3(3(0(3(2(1(3(0(1(3(1(z0))))))))))))))))), 3'(2(1(1(1(3(3(0(3(2(1(3(0(1(3(1(z0)))))))))))))))), 2'(1(1(1(3(3(0(3(2(1(3(0(1(3(1(z0))))))))))))))), 1'(1(1(3(3(0(3(2(1(3(0(1(3(1(z0)))))))))))))), 1'(1(3(3(0(3(2(1(3(0(1(3(1(z0))))))))))))), 1'(3(3(0(3(2(1(3(0(1(3(1(z0)))))))))))), 3'(3(0(3(2(1(3(0(1(3(1(z0))))))))))), 3'(0(3(2(1(3(0(1(3(1(z0)))))))))), 0'(3(2(1(3(0(1(3(1(z0))))))))), 3'(2(1(3(0(1(3(1(z0)))))))), 2'(1(3(0(1(3(1(z0))))))), 1'(3(0(1(3(1(z0)))))), 3'(0(1(3(1(z0))))), 0'(1(3(1(z0)))), 1'(3(1(z0))), 3'(1(z0)), 1'(z0))
   3'(c_3(c_0(c_1(c_0(c_3(c_2(c_0(c_1(c_1(c_1(c_1(c_3(c_1(c_2(c_3(c_3(c_3(z0)))))))))))))))))) -> c88(3'(2(3(1(1(1(0(3(3(0(2(1(3(0(1(3(1(3(z0)))))))))))))))))), 2'(3(1(1(1(0(3(3(0(2(1(3(0(1(3(1(3(z0))))))))))))))))), 3'(1(1(1(0(3(3(0(2(1(3(0(1(3(1(3(z0)))))))))))))))), 1'(1(1(0(3(3(0(2(1(3(0(1(3(1(3(z0))))))))))))))), 1'(1(0(3(3(0(2(1(3(0(1(3(1(3(z0)))))))))))))), 1'(0(3(3(0(2(1(3(0(1(3(1(3(z0))))))))))))), 0'(3(3(0(2(1(3(0(1(3(1(3(z0)))))))))))), 3'(3(0(2(1(3(0(1(3(1(3(z0))))))))))), 3'(0(2(1(3(0(1(3(1(3(z0)))))))))), 0'(2(1(3(0(1(3(1(3(z0))))))))), 2'(1(3(0(1(3(1(3(z0)))))))), 1'(3(0(1(3(1(3(z0))))))), 3'(0(1(3(1(3(z0)))))), 0'(1(3(1(3(z0))))), 1'(3(1(3(z0)))), 3'(1(3(z0))), 1'(3(z0)), 3'(z0))
   3'(c_3(c_1(c_0(c_3(c_2(c_3(c_0(c_3(c_1(c_0(c_2(c_0(c_3(c_0(c_2(c_2(c_0(z0)))))))))))))))))) -> c89(3'(3(3(2(0(3(0(3(0(1(0(0(1(3(0(2(2(2(z0)))))))))))))))))), 3'(3(2(0(3(0(3(0(1(0(0(1(3(0(2(2(2(z0))))))))))))))))), 3'(2(0(3(0(3(0(1(0(0(1(3(0(2(2(2(z0)))))))))))))))), 2'(0(3(0(3(0(1(0(0(1(3(0(2(2(2(z0))))))))))))))), 0'(3(0(3(0(1(0(0(1(3(0(2(2(2(z0)))))))))))))), 3'(0(3(0(1(0(0(1(3(0(2(2(2(z0))))))))))))), 0'(3(0(1(0(0(1(3(0(2(2(2(z0)))))))))))), 3'(0(1(0(0(1(3(0(2(2(2(z0))))))))))), 0'(1(0(0(1(3(0(2(2(2(z0)))))))))), 1'(0(0(1(3(0(2(2(2(z0))))))))), 0'(0(1(3(0(2(2(2(z0)))))))), 0'(1(3(0(2(2(2(z0))))))), 1'(3(0(2(2(2(z0)))))), 3'(0(2(2(2(z0))))), 0'(2(2(2(z0)))), 2'(2(2(z0))), 2'(2(z0)), 2'(z0))
   3'(c_1(c_2(c_0(c_3(c_2(c_2(c_3(c_2(c_0(c_3(c_3(c_2(c_3(c_3(c_1(c_1(c_3(z0)))))))))))))))))) -> c90(3'(2(2(3(1(3(3(2(1(3(3(0(2(0(2(3(1(3(z0)))))))))))))))))), 2'(2(3(1(3(3(2(1(3(3(0(2(0(2(3(1(3(z0))))))))))))))))), 2'(3(1(3(3(2(1(3(3(0(2(0(2(3(1(3(z0)))))))))))))))), 3'(1(3(3(2(1(3(3(0(2(0(2(3(1(3(z0))))))))))))))), 1'(3(3(2(1(3(3(0(2(0(2(3(1(3(z0)))))))))))))), 3'(3(2(1(3(3(0(2(0(2(3(1(3(z0))))))))))))), 3'(2(1(3(3(0(2(0(2(3(1(3(z0)))))))))))), 2'(1(3(3(0(2(0(2(3(1(3(z0))))))))))), 1'(3(3(0(2(0(2(3(1(3(z0)))))))))), 3'(3(0(2(0(2(3(1(3(z0))))))))), 3'(0(2(0(2(3(1(3(z0)))))))), 0'(2(0(2(3(1(3(z0))))))), 2'(0(2(3(1(3(z0)))))), 0'(2(3(1(3(z0))))), 2'(3(1(3(z0)))), 3'(1(3(z0))), 1'(3(z0)), 3'(z0))
   3'(c_2(c_0(c_1(c_2(c_1(c_0(c_3(c_3(c_3(c_3(c_1(c_2(c_1(c_1(c_0(c_1(c_0(z0)))))))))))))))))) -> c91(3'(0(0(2(1(3(2(3(3(1(1(3(1(1(0(2(0(1(z0)))))))))))))))))), 0'(0(2(1(3(2(3(3(1(1(3(1(1(0(2(0(1(z0))))))))))))))))), 0'(2(1(3(2(3(3(1(1(3(1(1(0(2(0(1(z0)))))))))))))))), 2'(1(3(2(3(3(1(1(3(1(1(0(2(0(1(z0))))))))))))))), 1'(3(2(3(3(1(1(3(1(1(0(2(0(1(z0)))))))))))))), 3'(2(3(3(1(1(3(1(1(0(2(0(1(z0))))))))))))), 2'(3(3(1(1(3(1(1(0(2(0(1(z0)))))))))))), 3'(3(1(1(3(1(1(0(2(0(1(z0))))))))))), 3'(1(1(3(1(1(0(2(0(1(z0)))))))))), 1'(1(3(1(1(0(2(0(1(z0))))))))), 1'(3(1(1(0(2(0(1(z0)))))))), 3'(1(1(0(2(0(1(z0))))))), 1'(1(0(2(0(1(z0)))))), 1'(0(2(0(1(z0))))), 0'(2(0(1(z0)))), 2'(0(1(z0))), 0'(1(z0)), 1'(z0))
   ENCODE_0(z0) -> c8(0'(encArg(z0)))
   ENCODE_2(z0) -> c8(2'(encArg(z0)))
   ENCODE_1(z0) -> c8(1'(encArg(z0)))
   ENCODE_3(z0) -> c8(3'(encArg(z0)))
S tuples:
   0'(c_2(c_3(c_0(c_1(c_2(c_3(c_2(c_0(c_3(c_1(c_0(c_0(c_0(c_3(c_3(c_0(c_3(z0)))))))))))))))))) -> c9(0'(2(1(3(0(0(3(3(0(1(0(2(2(3(3(0(0(3(z0)))))))))))))))))), 2'(1(3(0(0(3(3(0(1(0(2(2(3(3(0(0(3(z0))))))))))))))))), 1'(3(0(0(3(3(0(1(0(2(2(3(3(0(0(3(z0)))))))))))))))), 3'(0(0(3(3(0(1(0(2(2(3(3(0(0(3(z0))))))))))))))), 0'(0(3(3(0(1(0(2(2(3(3(0(0(3(z0)))))))))))))), 0'(3(3(0(1(0(2(2(3(3(0(0(3(z0))))))))))))), 3'(3(0(1(0(2(2(3(3(0(0(3(z0)))))))))))), 3'(0(1(0(2(2(3(3(0(0(3(z0))))))))))), 0'(1(0(2(2(3(3(0(0(3(z0)))))))))), 1'(0(2(2(3(3(0(0(3(z0))))))))), 0'(2(2(3(3(0(0(3(z0)))))))), 2'(2(3(3(0(0(3(z0))))))), 2'(3(3(0(0(3(z0)))))), 3'(3(0(0(3(z0))))), 3'(0(0(3(z0)))), 0'(0(3(z0))), 0'(3(z0)), 3'(z0))
   0'(c_1(c_0(c_2(c_1(c_1(c_0(c_0(c_1(c_0(c_3(c_1(c_1(c_0(c_2(c_1(c_2(c_3(z0)))))))))))))))))) -> c10(0'(1(2(0(0(2(1(1(0(1(1(1(0(1(3(0(2(3(z0)))))))))))))))))), 1'(2(0(0(2(1(1(0(1(1(1(0(1(3(0(2(3(z0))))))))))))))))), 2'(0(0(2(1(1(0(1(1(1(0(1(3(0(2(3(z0)))))))))))))))), 0'(0(2(1(1(0(1(1(1(0(1(3(0(2(3(z0))))))))))))))), 0'(2(1(1(0(1(1(1(0(1(3(0(2(3(z0)))))))))))))), 2'(1(1(0(1(1(1(0(1(3(0(2(3(z0))))))))))))), 1'(1(0(1(1(1(0(1(3(0(2(3(z0)))))))))))), 1'(0(1(1(1(0(1(3(0(2(3(z0))))))))))), 0'(1(1(1(0(1(3(0(2(3(z0)))))))))), 1'(1(1(0(1(3(0(2(3(z0))))))))), 1'(1(0(1(3(0(2(3(z0)))))))), 1'(0(1(3(0(2(3(z0))))))), 0'(1(3(0(2(3(z0)))))), 1'(3(0(2(3(z0))))), 3'(0(2(3(z0)))), 0'(2(3(z0))), 2'(3(z0)), 3'(z0))
   0'(c_1(c_0(c_3(c_2(c_0(c_0(c_0(c_3(c_3(c_0(c_2(c_2(c_2(c_2(c_1(c_1(c_1(z0)))))))))))))))))) -> c11(0'(0(1(1(3(0(3(0(0(2(2(2(0(2(2(1(3(1(z0)))))))))))))))))), 0'(1(1(3(0(3(0(0(2(2(2(0(2(2(1(3(1(z0))))))))))))))))), 1'(1(3(0(3(0(0(2(2(2(0(2(2(1(3(1(z0)))))))))))))))), 1'(3(0(3(0(0(2(2(2(0(2(2(1(3(1(z0))))))))))))))), 3'(0(3(0(0(2(2(2(0(2(2(1(3(1(z0)))))))))))))), 0'(3(0(0(2(2(2(0(2(2(1(3(1(z0))))))))))))), 3'(0(0(2(2(2(0(2(2(1(3(1(z0)))))))))))), 0'(0(2(2(2(0(2(2(1(3(1(z0))))))))))), 0'(2(2(2(0(2(2(1(3(1(z0)))))))))), 2'(2(2(0(2(2(1(3(1(z0))))))))), 2'(2(0(2(2(1(3(1(z0)))))))), 2'(0(2(2(1(3(1(z0))))))), 0'(2(2(1(3(1(z0)))))), 2'(2(1(3(1(z0))))), 2'(1(3(1(z0)))), 1'(3(1(z0))), 3'(1(z0)), 1'(z0))
   0'(c_0(c_3(c_1(c_0(c_2(c_2(c_0(c_2(c_3(c_1(c_1(c_0(c_1(c_2(c_2(c_0(c_1(z0)))))))))))))))))) -> c12(0'(2(1(1(3(0(0(0(1(0(2(3(1(2(2(0(2(1(z0)))))))))))))))))), 2'(1(1(3(0(0(0(1(0(2(3(1(2(2(0(2(1(z0))))))))))))))))), 1'(1(3(0(0(0(1(0(2(3(1(2(2(0(2(1(z0)))))))))))))))), 1'(3(0(0(0(1(0(2(3(1(2(2(0(2(1(z0))))))))))))))), 3'(0(0(0(1(0(2(3(1(2(2(0(2(1(z0)))))))))))))), 0'(0(0(1(0(2(3(1(2(2(0(2(1(z0))))))))))))), 0'(0(1(0(2(3(1(2(2(0(2(1(z0)))))))))))), 0'(1(0(2(3(1(2(2(0(2(1(z0))))))))))), 1'(0(2(3(1(2(2(0(2(1(z0)))))))))), 0'(2(3(1(2(2(0(2(1(z0))))))))), 2'(3(1(2(2(0(2(1(z0)))))))), 3'(1(2(2(0(2(1(z0))))))), 1'(2(2(0(2(1(z0)))))), 2'(2(0(2(1(z0))))), 2'(0(2(1(z0)))), 0'(2(1(z0))), 2'(1(z0)), 1'(z0))
   0'(c_3(c_2(c_0(c_3(c_1(c_0(c_1(c_0(c_3(c_0(c_3(c_0(c_0(c_3(c_0(c_0(c_0(z0)))))))))))))))))) -> c13(0'(3(0(0(0(0(1(2(0(3(3(0(0(3(0(1(3(0(z0)))))))))))))))))), 3'(0(0(0(0(1(2(0(3(3(0(0(3(0(1(3(0(z0))))))))))))))))), 0'(0(0(0(1(2(0(3(3(0(0(3(0(1(3(0(z0)))))))))))))))), 0'(0(0(1(2(0(3(3(0(0(3(0(1(3(0(z0))))))))))))))), 0'(0(1(2(0(3(3(0(0(3(0(1(3(0(z0)))))))))))))), 0'(1(2(0(3(3(0(0(3(0(1(3(0(z0))))))))))))), 1'(2(0(3(3(0(0(3(0(1(3(0(z0)))))))))))), 2'(0(3(3(0(0(3(0(1(3(0(z0))))))))))), 0'(3(3(0(0(3(0(1(3(0(z0)))))))))), 3'(3(0(0(3(0(1(3(0(z0))))))))), 3'(0(0(3(0(1(3(0(z0)))))))), 0'(0(3(0(1(3(0(z0))))))), 0'(3(0(1(3(0(z0)))))), 3'(0(1(3(0(z0))))), 0'(1(3(0(z0)))), 1'(3(0(z0))), 3'(0(z0)), 0'(z0))
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   1'(c_0(c_2(c_3(c_1(c_2(c_3(c_1(c_2(c_3(c_2(c_3(c_2(c_1(c_2(c_2(c_2(c_2(z0)))))))))))))))))) -> c49(2'(3(2(2(3(0(2(1(3(2(2(1(1(1(3(2(2(2(z0)))))))))))))))))), 3'(2(2(3(0(2(1(3(2(2(1(1(1(3(2(2(2(z0))))))))))))))))), 2'(2(3(0(2(1(3(2(2(1(1(1(3(2(2(2(z0)))))))))))))))), 2'(3(0(2(1(3(2(2(1(1(1(3(2(2(2(z0))))))))))))))), 3'(0(2(1(3(2(2(1(1(1(3(2(2(2(z0)))))))))))))), 0'(2(1(3(2(2(1(1(1(3(2(2(2(z0))))))))))))), 2'(1(3(2(2(1(1(1(3(2(2(2(z0)))))))))))), 1'(3(2(2(1(1(1(3(2(2(2(z0))))))))))), 3'(2(2(1(1(1(3(2(2(2(z0)))))))))), 2'(2(1(1(1(3(2(2(2(z0))))))))), 2'(1(1(1(3(2(2(2(z0)))))))), 1'(1(1(3(2(2(2(z0))))))), 1'(1(3(2(2(2(z0)))))), 1'(3(2(2(2(z0))))), 3'(2(2(2(z0)))), 2'(2(2(z0))), 2'(2(z0)), 2'(z0))
   1'(c_3(c_3(c_2(c_2(c_1(c_0(c_3(c_2(c_1(c_1(c_1(c_2(c_3(c_1(c_0(c_1(c_0(z0)))))))))))))))))) -> c50(2'(0(1(2(1(2(1(3(1(1(3(0(3(2(1(3(0(1(z0)))))))))))))))))), 0'(1(2(1(2(1(3(1(1(3(0(3(2(1(3(0(1(z0))))))))))))))))), 1'(2(1(2(1(3(1(1(3(0(3(2(1(3(0(1(z0)))))))))))))))), 2'(1(2(1(3(1(1(3(0(3(2(1(3(0(1(z0))))))))))))))), 1'(2(1(3(1(1(3(0(3(2(1(3(0(1(z0)))))))))))))), 2'(1(3(1(1(3(0(3(2(1(3(0(1(z0))))))))))))), 1'(3(1(1(3(0(3(2(1(3(0(1(z0)))))))))))), 3'(1(1(3(0(3(2(1(3(0(1(z0))))))))))), 1'(1(3(0(3(2(1(3(0(1(z0)))))))))), 1'(3(0(3(2(1(3(0(1(z0))))))))), 3'(0(3(2(1(3(0(1(z0)))))))), 0'(3(2(1(3(0(1(z0))))))), 3'(2(1(3(0(1(z0)))))), 2'(1(3(0(1(z0))))), 1'(3(0(1(z0)))), 3'(0(1(z0))), 0'(1(z0)), 1'(z0))
   1'(c_2(c_3(c_1(c_1(c_0(c_0(c_3(c_3(c_0(c_2(c_1(c_3(c_3(c_0(c_3(c_2(c_3(z0)))))))))))))))))) -> c51(3'(1(3(0(2(3(3(1(3(0(2(1(2(0(0(1(3(3(z0)))))))))))))))))), 1'(3(0(2(3(3(1(3(0(2(1(2(0(0(1(3(3(z0))))))))))))))))), 3'(0(2(3(3(1(3(0(2(1(2(0(0(1(3(3(z0)))))))))))))))), 0'(2(3(3(1(3(0(2(1(2(0(0(1(3(3(z0))))))))))))))), 2'(3(3(1(3(0(2(1(2(0(0(1(3(3(z0)))))))))))))), 3'(3(1(3(0(2(1(2(0(0(1(3(3(z0))))))))))))), 3'(1(3(0(2(1(2(0(0(1(3(3(z0)))))))))))), 1'(3(0(2(1(2(0(0(1(3(3(z0))))))))))), 3'(0(2(1(2(0(0(1(3(3(z0)))))))))), 0'(2(1(2(0(0(1(3(3(z0))))))))), 2'(1(2(0(0(1(3(3(z0)))))))), 1'(2(0(0(1(3(3(z0))))))), 2'(0(0(1(3(3(z0)))))), 0'(0(1(3(3(z0))))), 0'(1(3(3(z0)))), 1'(3(3(z0))), 3'(3(z0)), 3'(z0))
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   3'(c_0(c_3(c_1(c_0(c_1(c_0(c_3(c_3(c_1(c_0(c_3(c_2(c_3(c_3(c_2(c_0(c_3(z0)))))))))))))))))) -> c82(1'(3(0(2(0(0(3(3(2(1(3(0(3(3(1(3(3(0(z0)))))))))))))))))), 3'(0(2(0(0(3(3(2(1(3(0(3(3(1(3(3(0(z0))))))))))))))))), 0'(2(0(0(3(3(2(1(3(0(3(3(1(3(3(0(z0)))))))))))))))), 2'(0(0(3(3(2(1(3(0(3(3(1(3(3(0(z0))))))))))))))), 0'(0(3(3(2(1(3(0(3(3(1(3(3(0(z0)))))))))))))), 0'(3(3(2(1(3(0(3(3(1(3(3(0(z0))))))))))))), 3'(3(2(1(3(0(3(3(1(3(3(0(z0)))))))))))), 3'(2(1(3(0(3(3(1(3(3(0(z0))))))))))), 2'(1(3(0(3(3(1(3(3(0(z0)))))))))), 1'(3(0(3(3(1(3(3(0(z0))))))))), 3'(0(3(3(1(3(3(0(z0)))))))), 0'(3(3(1(3(3(0(z0))))))), 3'(3(1(3(3(0(z0)))))), 3'(1(3(3(0(z0))))), 1'(3(3(0(z0)))), 3'(3(0(z0))), 3'(0(z0)), 0'(z0))
   3'(c_0(c_1(c_0(c_1(c_2(c_3(c_3(c_1(c_2(c_3(c_2(c_1(c_1(c_1(c_3(c_3(c_0(z0)))))))))))))))))) -> c83(3'(0(1(2(1(3(3(1(3(0(1(3(1(2(0(1(3(2(z0)))))))))))))))))), 0'(1(2(1(3(3(1(3(0(1(3(1(2(0(1(3(2(z0))))))))))))))))), 1'(2(1(3(3(1(3(0(1(3(1(2(0(1(3(2(z0)))))))))))))))), 2'(1(3(3(1(3(0(1(3(1(2(0(1(3(2(z0))))))))))))))), 1'(3(3(1(3(0(1(3(1(2(0(1(3(2(z0)))))))))))))), 3'(3(1(3(0(1(3(1(2(0(1(3(2(z0))))))))))))), 3'(1(3(0(1(3(1(2(0(1(3(2(z0)))))))))))), 1'(3(0(1(3(1(2(0(1(3(2(z0))))))))))), 3'(0(1(3(1(2(0(1(3(2(z0)))))))))), 0'(1(3(1(2(0(1(3(2(z0))))))))), 1'(3(1(2(0(1(3(2(z0)))))))), 3'(1(2(0(1(3(2(z0))))))), 1'(2(0(1(3(2(z0)))))), 2'(0(1(3(2(z0))))), 0'(1(3(2(z0)))), 1'(3(2(z0))), 3'(2(z0)), 2'(z0))
   3'(c_1(c_2(c_3(c_2(c_0(c_2(c_3(c_1(c_1(c_1(c_3(c_3(c_2(c_0(c_0(c_0(c_3(z0)))))))))))))))))) -> c84(3'(1(3(2(1(3(0(2(1(0(0(2(3(1(2(3(3(0(z0)))))))))))))))))), 1'(3(2(1(3(0(2(1(0(0(2(3(1(2(3(3(0(z0))))))))))))))))), 3'(2(1(3(0(2(1(0(0(2(3(1(2(3(3(0(z0)))))))))))))))), 2'(1(3(0(2(1(0(0(2(3(1(2(3(3(0(z0))))))))))))))), 1'(3(0(2(1(0(0(2(3(1(2(3(3(0(z0)))))))))))))), 3'(0(2(1(0(0(2(3(1(2(3(3(0(z0))))))))))))), 0'(2(1(0(0(2(3(1(2(3(3(0(z0)))))))))))), 2'(1(0(0(2(3(1(2(3(3(0(z0))))))))))), 1'(0(0(2(3(1(2(3(3(0(z0)))))))))), 0'(0(2(3(1(2(3(3(0(z0))))))))), 0'(2(3(1(2(3(3(0(z0)))))))), 2'(3(1(2(3(3(0(z0))))))), 3'(1(2(3(3(0(z0)))))), 1'(2(3(3(0(z0))))), 2'(3(3(0(z0)))), 3'(3(0(z0))), 3'(0(z0)), 0'(z0))
   3'(c_2(c_3(c_2(c_2(c_0(c_3(c_3(c_2(c_0(c_1(c_0(c_0(c_2(c_0(c_1(c_1(c_1(z0)))))))))))))))))) -> c85(3'(0(1(3(2(0(3(0(1(2(3(0(2(0(2(2(1(1(z0)))))))))))))))))), 0'(1(3(2(0(3(0(1(2(3(0(2(0(2(2(1(1(z0))))))))))))))))), 1'(3(2(0(3(0(1(2(3(0(2(0(2(2(1(1(z0)))))))))))))))), 3'(2(0(3(0(1(2(3(0(2(0(2(2(1(1(z0))))))))))))))), 2'(0(3(0(1(2(3(0(2(0(2(2(1(1(z0)))))))))))))), 0'(3(0(1(2(3(0(2(0(2(2(1(1(z0))))))))))))), 3'(0(1(2(3(0(2(0(2(2(1(1(z0)))))))))))), 0'(1(2(3(0(2(0(2(2(1(1(z0))))))))))), 1'(2(3(0(2(0(2(2(1(1(z0)))))))))), 2'(3(0(2(0(2(2(1(1(z0))))))))), 3'(0(2(0(2(2(1(1(z0)))))))), 0'(2(0(2(2(1(1(z0))))))), 2'(0(2(2(1(1(z0)))))), 0'(2(2(1(1(z0))))), 2'(2(1(1(z0)))), 2'(1(1(z0))), 1'(1(z0)), 1'(z0))
   3'(c_3(c_1(c_2(c_2(c_2(c_3(c_3(c_3(c_1(c_3(c_0(c_1(c_1(c_1(c_2(c_1(c_0(z0)))))))))))))))))) -> c86(3'(3(3(1(2(3(1(3(0(2(2(1(3(0(2(1(1(1(z0)))))))))))))))))), 3'(3(1(2(3(1(3(0(2(2(1(3(0(2(1(1(1(z0))))))))))))))))), 3'(1(2(3(1(3(0(2(2(1(3(0(2(1(1(1(z0)))))))))))))))), 1'(2(3(1(3(0(2(2(1(3(0(2(1(1(1(z0))))))))))))))), 2'(3(1(3(0(2(2(1(3(0(2(1(1(1(z0)))))))))))))), 3'(1(3(0(2(2(1(3(0(2(1(1(1(z0))))))))))))), 1'(3(0(2(2(1(3(0(2(1(1(1(z0)))))))))))), 3'(0(2(2(1(3(0(2(1(1(1(z0))))))))))), 0'(2(2(1(3(0(2(1(1(1(z0)))))))))), 2'(2(1(3(0(2(1(1(1(z0))))))))), 2'(1(3(0(2(1(1(1(z0)))))))), 1'(3(0(2(1(1(1(z0))))))), 3'(0(2(1(1(1(z0)))))), 0'(2(1(1(1(z0))))), 2'(1(1(1(z0)))), 1'(1(1(z0))), 1'(1(z0)), 1'(z0))
   3'(c_1(c_1(c_0(c_3(c_0(c_1(c_1(c_3(c_2(c_1(c_2(c_3(c_3(c_1(c_3(c_3(c_1(z0)))))))))))))))))) -> c87(3'(1(3(2(1(1(1(3(3(0(3(2(1(3(0(1(3(1(z0)))))))))))))))))), 1'(3(2(1(1(1(3(3(0(3(2(1(3(0(1(3(1(z0))))))))))))))))), 3'(2(1(1(1(3(3(0(3(2(1(3(0(1(3(1(z0)))))))))))))))), 2'(1(1(1(3(3(0(3(2(1(3(0(1(3(1(z0))))))))))))))), 1'(1(1(3(3(0(3(2(1(3(0(1(3(1(z0)))))))))))))), 1'(1(3(3(0(3(2(1(3(0(1(3(1(z0))))))))))))), 1'(3(3(0(3(2(1(3(0(1(3(1(z0)))))))))))), 3'(3(0(3(2(1(3(0(1(3(1(z0))))))))))), 3'(0(3(2(1(3(0(1(3(1(z0)))))))))), 0'(3(2(1(3(0(1(3(1(z0))))))))), 3'(2(1(3(0(1(3(1(z0)))))))), 2'(1(3(0(1(3(1(z0))))))), 1'(3(0(1(3(1(z0)))))), 3'(0(1(3(1(z0))))), 0'(1(3(1(z0)))), 1'(3(1(z0))), 3'(1(z0)), 1'(z0))
   3'(c_3(c_0(c_1(c_0(c_3(c_2(c_0(c_1(c_1(c_1(c_1(c_3(c_1(c_2(c_3(c_3(c_3(z0)))))))))))))))))) -> c88(3'(2(3(1(1(1(0(3(3(0(2(1(3(0(1(3(1(3(z0)))))))))))))))))), 2'(3(1(1(1(0(3(3(0(2(1(3(0(1(3(1(3(z0))))))))))))))))), 3'(1(1(1(0(3(3(0(2(1(3(0(1(3(1(3(z0)))))))))))))))), 1'(1(1(0(3(3(0(2(1(3(0(1(3(1(3(z0))))))))))))))), 1'(1(0(3(3(0(2(1(3(0(1(3(1(3(z0)))))))))))))), 1'(0(3(3(0(2(1(3(0(1(3(1(3(z0))))))))))))), 0'(3(3(0(2(1(3(0(1(3(1(3(z0)))))))))))), 3'(3(0(2(1(3(0(1(3(1(3(z0))))))))))), 3'(0(2(1(3(0(1(3(1(3(z0)))))))))), 0'(2(1(3(0(1(3(1(3(z0))))))))), 2'(1(3(0(1(3(1(3(z0)))))))), 1'(3(0(1(3(1(3(z0))))))), 3'(0(1(3(1(3(z0)))))), 0'(1(3(1(3(z0))))), 1'(3(1(3(z0)))), 3'(1(3(z0))), 1'(3(z0)), 3'(z0))
   3'(c_3(c_1(c_0(c_3(c_2(c_3(c_0(c_3(c_1(c_0(c_2(c_0(c_3(c_0(c_2(c_2(c_0(z0)))))))))))))))))) -> c89(3'(3(3(2(0(3(0(3(0(1(0(0(1(3(0(2(2(2(z0)))))))))))))))))), 3'(3(2(0(3(0(3(0(1(0(0(1(3(0(2(2(2(z0))))))))))))))))), 3'(2(0(3(0(3(0(1(0(0(1(3(0(2(2(2(z0)))))))))))))))), 2'(0(3(0(3(0(1(0(0(1(3(0(2(2(2(z0))))))))))))))), 0'(3(0(3(0(1(0(0(1(3(0(2(2(2(z0)))))))))))))), 3'(0(3(0(1(0(0(1(3(0(2(2(2(z0))))))))))))), 0'(3(0(1(0(0(1(3(0(2(2(2(z0)))))))))))), 3'(0(1(0(0(1(3(0(2(2(2(z0))))))))))), 0'(1(0(0(1(3(0(2(2(2(z0)))))))))), 1'(0(0(1(3(0(2(2(2(z0))))))))), 0'(0(1(3(0(2(2(2(z0)))))))), 0'(1(3(0(2(2(2(z0))))))), 1'(3(0(2(2(2(z0)))))), 3'(0(2(2(2(z0))))), 0'(2(2(2(z0)))), 2'(2(2(z0))), 2'(2(z0)), 2'(z0))
   3'(c_1(c_2(c_0(c_3(c_2(c_2(c_3(c_2(c_0(c_3(c_3(c_2(c_3(c_3(c_1(c_1(c_3(z0)))))))))))))))))) -> c90(3'(2(2(3(1(3(3(2(1(3(3(0(2(0(2(3(1(3(z0)))))))))))))))))), 2'(2(3(1(3(3(2(1(3(3(0(2(0(2(3(1(3(z0))))))))))))))))), 2'(3(1(3(3(2(1(3(3(0(2(0(2(3(1(3(z0)))))))))))))))), 3'(1(3(3(2(1(3(3(0(2(0(2(3(1(3(z0))))))))))))))), 1'(3(3(2(1(3(3(0(2(0(2(3(1(3(z0)))))))))))))), 3'(3(2(1(3(3(0(2(0(2(3(1(3(z0))))))))))))), 3'(2(1(3(3(0(2(0(2(3(1(3(z0)))))))))))), 2'(1(3(3(0(2(0(2(3(1(3(z0))))))))))), 1'(3(3(0(2(0(2(3(1(3(z0)))))))))), 3'(3(0(2(0(2(3(1(3(z0))))))))), 3'(0(2(0(2(3(1(3(z0)))))))), 0'(2(0(2(3(1(3(z0))))))), 2'(0(2(3(1(3(z0)))))), 0'(2(3(1(3(z0))))), 2'(3(1(3(z0)))), 3'(1(3(z0))), 1'(3(z0)), 3'(z0))
   3'(c_2(c_0(c_1(c_2(c_1(c_0(c_3(c_3(c_3(c_3(c_1(c_2(c_1(c_1(c_0(c_1(c_0(z0)))))))))))))))))) -> c91(3'(0(0(2(1(3(2(3(3(1(1(3(1(1(0(2(0(1(z0)))))))))))))))))), 0'(0(2(1(3(2(3(3(1(1(3(1(1(0(2(0(1(z0))))))))))))))))), 0'(2(1(3(2(3(3(1(1(3(1(1(0(2(0(1(z0)))))))))))))))), 2'(1(3(2(3(3(1(1(3(1(1(0(2(0(1(z0))))))))))))))), 1'(3(2(3(3(1(1(3(1(1(0(2(0(1(z0)))))))))))))), 3'(2(3(3(1(1(3(1(1(0(2(0(1(z0))))))))))))), 2'(3(3(1(1(3(1(1(0(2(0(1(z0)))))))))))), 3'(3(1(1(3(1(1(0(2(0(1(z0))))))))))), 3'(1(1(3(1(1(0(2(0(1(z0)))))))))), 1'(1(3(1(1(0(2(0(1(z0))))))))), 1'(3(1(1(0(2(0(1(z0)))))))), 3'(1(1(0(2(0(1(z0))))))), 1'(1(0(2(0(1(z0)))))), 1'(0(2(0(1(z0))))), 0'(2(0(1(z0)))), 2'(0(1(z0))), 0'(1(z0)), 1'(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_2_1, ENCODE_1_1, ENCODE_3_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, c21_18, c22_18, c23_18, c24_18, c25_18, c26_18, c27_18, c28_18, c29_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, c43_18, c44_18, c45_18, c46_18, c47_18, c48_18, c49_18, c50_18, c51_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_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, c81_18, c82_18, c83_18, c84_18, c85_18, c86_18, c87_18, c88_18, c89_18, c90_18, c91_18, c8_1


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

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

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

(48)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(cons_0(z0)) -> 0(encArg(z0))
   encArg(cons_1(z0)) -> 1(encArg(z0))
   encArg(cons_2(z0)) -> 2(encArg(z0))
   encArg(cons_3(z0)) -> 3(encArg(z0))
   0(z0) -> c_0(z0)
   0(c_2(c_3(c_0(c_1(c_2(c_3(c_2(c_0(c_3(c_1(c_0(c_0(c_0(c_3(c_3(c_0(c_3(z0)))))))))))))))))) -> 0(2(1(3(0(0(3(3(0(1(0(2(2(3(3(0(0(3(z0))))))))))))))))))
   0(c_1(c_0(c_2(c_1(c_1(c_0(c_0(c_1(c_0(c_3(c_1(c_1(c_0(c_2(c_1(c_2(c_3(z0)))))))))))))))))) -> 0(1(2(0(0(2(1(1(0(1(1(1(0(1(3(0(2(3(z0))))))))))))))))))
   0(c_1(c_0(c_3(c_2(c_0(c_0(c_0(c_3(c_3(c_0(c_2(c_2(c_2(c_2(c_1(c_1(c_1(z0)))))))))))))))))) -> 0(0(1(1(3(0(3(0(0(2(2(2(0(2(2(1(3(1(z0))))))))))))))))))
   0(c_0(c_3(c_1(c_0(c_2(c_2(c_0(c_2(c_3(c_1(c_1(c_0(c_1(c_2(c_2(c_0(c_1(z0)))))))))))))))))) -> 0(2(1(1(3(0(0(0(1(0(2(3(1(2(2(0(2(1(z0))))))))))))))))))
   0(c_3(c_2(c_0(c_3(c_1(c_0(c_1(c_0(c_3(c_0(c_3(c_0(c_0(c_3(c_0(c_0(c_0(z0)))))))))))))))))) -> 0(3(0(0(0(0(1(2(0(3(3(0(0(3(0(1(3(0(z0))))))))))))))))))
   0(c_1(c_2(c_3(c_2(c_1(c_0(c_1(c_2(c_2(c_0(c_0(c_1(c_0(c_3(c_1(c_0(c_1(z0)))))))))))))))))) -> 0(2(1(1(1(0(2(2(0(0(1(1(0(3(0(1(3(2(z0))))))))))))))))))
   0(c_2(c_1(c_0(c_3(c_0(c_3(c_0(c_3(c_2(c_0(c_1(c_0(c_1(c_2(c_2(c_1(c_1(z0)))))))))))))))))) -> 0(2(3(0(3(2(2(1(2(1(1(0(0(3(0(0(1(1(z0))))))))))))))))))
   0(c_0(c_2(c_2(c_1(c_3(c_2(c_2(c_2(c_1(c_0(c_2(c_2(c_0(c_2(c_2(c_0(c_0(z0)))))))))))))))))) -> 0(2(2(2(2(1(3(0(0(2(1(0(2(2(2(2(0(0(z0))))))))))))))))))
   0(c_3(c_1(c_1(c_2(c_3(c_0(c_3(c_0(c_1(c_0(c_1(c_2(c_2(c_1(c_0(c_2(c_2(z0)))))))))))))))))) -> 0(0(1(3(0(0(2(2(2(3(2(1(1(1(1(0(3(2(z0))))))))))))))))))
   0(c_1(c_1(c_1(c_1(c_3(c_1(c_1(c_0(c_1(c_3(c_1(c_0(c_2(c_3(c_3(c_3(c_2(z0)))))))))))))))))) -> 0(2(0(1(3(1(1(3(1(0(1(3(2(1(3(1(1(3(z0))))))))))))))))))
   0(c_3(c_0(c_1(c_0(c_3(c_0(c_1(c_1(c_1(c_2(c_0(c_0(c_0(c_3(c_2(c_1(c_0(z0)))))))))))))))))) -> 0(0(2(2(1(3(0(0(1(3(0(1(0(1(0(0(1(3(z0))))))))))))))))))
   1(z0) -> c_1(z0)
   1(c_0(c_1(c_0(c_2(c_0(c_2(c_3(c_1(c_1(c_2(c_2(c_0(c_0(c_3(c_0(c_3(c_2(z0)))))))))))))))))) -> 0(0(0(1(1(3(1(3(2(0(0(2(2(1(3(0(2(2(z0))))))))))))))))))
   1(c_2(c_0(c_0(c_2(c_1(c_3(c_2(c_2(c_3(c_2(c_2(c_0(c_3(c_2(c_3(c_2(c_2(z0)))))))))))))))))) -> 1(2(0(3(2(2(2(2(3(0(0(2(2(2(3(1(3(2(z0))))))))))))))))))
   1(c_0(c_2(c_3(c_3(c_3(c_1(c_0(c_2(c_0(c_1(c_2(c_2(c_3(c_2(c_1(c_0(c_1(z0)))))))))))))))))) -> 2(3(2(1(0(1(3(1(3(0(2(3(0(2(0(1(2(1(z0))))))))))))))))))
   1(c_1(c_1(c_2(c_1(c_1(c_1(c_2(c_1(c_3(c_1(c_0(c_1(c_2(c_1(c_2(c_3(c_1(z0)))))))))))))))))) -> 1(1(1(1(1(1(3(0(2(2(1(1(1(2(3(1(2(1(z0))))))))))))))))))
   1(c_1(c_0(c_3(c_1(c_0(c_2(c_3(c_1(c_1(c_0(c_3(c_3(c_0(c_3(c_1(c_1(c_1(z0)))))))))))))))))) -> 1(1(3(1(3(2(3(0(1(0(3(0(1(3(1(0(1(1(z0))))))))))))))))))
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   2(z0) -> c_2(z0)
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   2(c_2(c_1(c_2(c_3(c_2(c_0(c_2(c_0(c_3(c_1(c_0(c_1(c_1(c_0(c_1(c_3(c_3(z0)))))))))))))))))) -> 2(2(0(1(2(0(1(2(3(1(0(2(0(1(3(1(3(3(z0))))))))))))))))))
   2(c_1(c_1(c_1(c_0(c_2(c_2(c_2(c_1(c_0(c_2(c_0(c_0(c_2(c_2(c_2(c_2(c_1(z0)))))))))))))))))) -> 2(2(2(2(1(1(2(0(1(0(0(0(2(1(2(2(2(1(z0))))))))))))))))))
   2(c_3(c_2(c_2(c_2(c_3(c_0(c_3(c_1(c_0(c_3(c_2(c_1(c_1(c_2(c_0(c_2(c_3(z0)))))))))))))))))) -> 2(2(1(1(0(1(2(3(3(0(3(3(2(2(2(0(2(3(z0))))))))))))))))))
   2(c_2(c_3(c_1(c_2(c_3(c_0(c_3(c_1(c_1(c_1(c_0(c_1(c_1(c_0(c_1(c_3(c_1(z0)))))))))))))))))) -> 2(3(1(1(2(0(1(3(1(1(0(1(1(3(1(3(0(2(z0))))))))))))))))))
   2(c_2(c_0(c_3(c_1(c_2(c_0(c_3(c_1(c_2(c_1(c_3(c_0(c_1(c_0(c_3(c_0(c_0(z0)))))))))))))))))) -> 2(3(2(2(1(3(0(3(0(1(3(0(0(0(1(1(2(0(z0))))))))))))))))))
   2(c_2(c_3(c_3(c_1(c_3(c_1(c_1(c_0(c_1(c_2(c_2(c_0(c_3(c_2(c_0(c_3(c_3(z0)))))))))))))))))) -> 2(2(3(1(3(2(1(3(3(1(0(0(2(3(3(1(0(2(z0))))))))))))))))))
   2(c_1(c_3(c_3(c_3(c_1(c_2(c_1(c_2(c_1(c_0(c_0(c_3(c_1(c_3(c_2(c_0(c_0(z0)))))))))))))))))) -> 2(1(3(0(1(3(1(0(2(2(0(0(1(3(1(3(2(3(z0))))))))))))))))))
   2(c_2(c_1(c_0(c_1(c_2(c_0(c_0(c_3(c_0(c_2(c_1(c_1(c_2(c_1(c_2(c_1(c_2(z0)))))))))))))))))) -> 2(2(1(0(3(2(1(1(1(0(0(2(0(1(2(2(1(2(z0))))))))))))))))))
   2(c_3(c_3(c_2(c_3(c_1(c_0(c_1(c_1(c_1(c_3(c_1(c_0(c_1(c_0(c_3(c_2(c_0(z0)))))))))))))))))) -> 2(1(0(0(1(2(3(1(1(3(3(3(1(1(3(2(0(0(z0))))))))))))))))))
   2(c_0(c_1(c_0(c_2(c_2(c_2(c_2(c_0(c_3(c_2(c_3(c_1(c_2(c_3(c_0(c_3(c_2(z0)))))))))))))))))) -> 2(0(2(0(2(2(3(0(3(3(1(3(0(1(2(2(2(2(z0))))))))))))))))))
   2(c_1(c_2(c_3(c_3(c_3(c_0(c_2(c_0(c_0(c_2(c_2(c_1(c_0(c_2(c_0(c_2(c_0(z0)))))))))))))))))) -> 0(3(0(2(2(2(1(3(0(0(1(3(0(0(2(2(2(2(z0))))))))))))))))))
   2(c_2(c_0(c_0(c_2(c_1(c_1(c_2(c_1(c_2(c_0(c_1(c_2(c_2(c_2(c_2(c_2(c_2(z0)))))))))))))))))) -> 2(2(2(2(1(1(0(2(1(1(2(2(0(2(0(2(2(2(z0))))))))))))))))))
   2(c_2(c_1(c_1(c_3(c_1(c_0(c_0(c_1(c_2(c_3(c_2(c_3(c_1(c_0(c_1(c_1(c_0(z0)))))))))))))))))) -> 0(1(2(2(3(1(0(2(1(3(2(1(1(3(0(1(1(0(z0))))))))))))))))))
   2(c_3(c_1(c_0(c_2(c_3(c_1(c_0(c_0(c_1(c_0(c_1(c_0(c_1(c_2(c_2(c_1(c_0(z0)))))))))))))))))) -> 2(0(3(1(0(1(0(1(2(0(2(2(1(3(0(0(1(1(z0))))))))))))))))))
   2(c_0(c_0(c_3(c_1(c_2(c_3(c_2(c_0(c_2(c_3(c_0(c_1(c_2(c_2(c_0(c_0(c_2(z0)))))))))))))))))) -> 2(0(2(3(1(3(0(0(3(2(0(1(0(2(0(2(2(2(z0))))))))))))))))))
   2(c_2(c_1(c_1(c_2(c_3(c_1(c_2(c_1(c_3(c_1(c_0(c_2(c_2(c_0(c_3(c_1(c_1(z0)))))))))))))))))) -> 2(2(1(2(3(1(1(3(1(2(2(1(0(0(2(1(3(1(z0))))))))))))))))))
   3(z0) -> c_3(z0)
   3(c_1(c_0(c_0(c_3(c_0(c_3(c_2(c_3(c_2(c_3(c_0(c_1(c_0(c_1(c_1(c_2(c_3(z0)))))))))))))))))) -> 3(0(1(3(2(3(3(1(1(0(2(0(0(3(1(3(0(2(z0))))))))))))))))))
   3(c_0(c_3(c_1(c_0(c_1(c_0(c_3(c_3(c_1(c_0(c_3(c_2(c_3(c_3(c_2(c_0(c_3(z0)))))))))))))))))) -> 1(3(0(2(0(0(3(3(2(1(3(0(3(3(1(3(3(0(z0))))))))))))))))))
   3(c_0(c_1(c_0(c_1(c_2(c_3(c_3(c_1(c_2(c_3(c_2(c_1(c_1(c_1(c_3(c_3(c_0(z0)))))))))))))))))) -> 3(0(1(2(1(3(3(1(3(0(1(3(1(2(0(1(3(2(z0))))))))))))))))))
   3(c_1(c_2(c_3(c_2(c_0(c_2(c_3(c_1(c_1(c_1(c_3(c_3(c_2(c_0(c_0(c_0(c_3(z0)))))))))))))))))) -> 3(1(3(2(1(3(0(2(1(0(0(2(3(1(2(3(3(0(z0))))))))))))))))))
   3(c_2(c_3(c_2(c_2(c_0(c_3(c_3(c_2(c_0(c_1(c_0(c_0(c_2(c_0(c_1(c_1(c_1(z0)))))))))))))))))) -> 3(0(1(3(2(0(3(0(1(2(3(0(2(0(2(2(1(1(z0))))))))))))))))))
   3(c_3(c_1(c_2(c_2(c_2(c_3(c_3(c_3(c_1(c_3(c_0(c_1(c_1(c_1(c_2(c_1(c_0(z0)))))))))))))))))) -> 3(3(3(1(2(3(1(3(0(2(2(1(3(0(2(1(1(1(z0))))))))))))))))))
   3(c_1(c_1(c_0(c_3(c_0(c_1(c_1(c_3(c_2(c_1(c_2(c_3(c_3(c_1(c_3(c_3(c_1(z0)))))))))))))))))) -> 3(1(3(2(1(1(1(3(3(0(3(2(1(3(0(1(3(1(z0))))))))))))))))))
   3(c_3(c_0(c_1(c_0(c_3(c_2(c_0(c_1(c_1(c_1(c_1(c_3(c_1(c_2(c_3(c_3(c_3(z0)))))))))))))))))) -> 3(2(3(1(1(1(0(3(3(0(2(1(3(0(1(3(1(3(z0))))))))))))))))))
   3(c_3(c_1(c_0(c_3(c_2(c_3(c_0(c_3(c_1(c_0(c_2(c_0(c_3(c_0(c_2(c_2(c_0(z0)))))))))))))))))) -> 3(3(3(2(0(3(0(3(0(1(0(0(1(3(0(2(2(2(z0))))))))))))))))))
   3(c_1(c_2(c_0(c_3(c_2(c_2(c_3(c_2(c_0(c_3(c_3(c_2(c_3(c_3(c_1(c_1(c_3(z0)))))))))))))))))) -> 3(2(2(3(1(3(3(2(1(3(3(0(2(0(2(3(1(3(z0))))))))))))))))))
   3(c_2(c_0(c_1(c_2(c_1(c_0(c_3(c_3(c_3(c_3(c_1(c_2(c_1(c_1(c_0(c_1(c_0(z0)))))))))))))))))) -> 3(0(0(2(1(3(2(3(3(1(1(3(1(1(0(2(0(1(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_2(c_3(c_0(c_1(c_2(c_3(c_2(c_0(c_3(c_1(c_0(c_0(c_0(c_3(c_3(c_0(c_3(z0)))))))))))))))))) -> c9(0'(2(1(3(0(0(3(3(0(1(0(2(2(3(3(0(0(3(z0)))))))))))))))))), 2'(1(3(0(0(3(3(0(1(0(2(2(3(3(0(0(3(z0))))))))))))))))), 1'(3(0(0(3(3(0(1(0(2(2(3(3(0(0(3(z0)))))))))))))))), 3'(0(0(3(3(0(1(0(2(2(3(3(0(0(3(z0))))))))))))))), 0'(0(3(3(0(1(0(2(2(3(3(0(0(3(z0)))))))))))))), 0'(3(3(0(1(0(2(2(3(3(0(0(3(z0))))))))))))), 3'(3(0(1(0(2(2(3(3(0(0(3(z0)))))))))))), 3'(0(1(0(2(2(3(3(0(0(3(z0))))))))))), 0'(1(0(2(2(3(3(0(0(3(z0)))))))))), 1'(0(2(2(3(3(0(0(3(z0))))))))), 0'(2(2(3(3(0(0(3(z0)))))))), 2'(2(3(3(0(0(3(z0))))))), 2'(3(3(0(0(3(z0)))))), 3'(3(0(0(3(z0))))), 3'(0(0(3(z0)))), 0'(0(3(z0))), 0'(3(z0)), 3'(z0))
   0'(c_1(c_0(c_2(c_1(c_1(c_0(c_0(c_1(c_0(c_3(c_1(c_1(c_0(c_2(c_1(c_2(c_3(z0)))))))))))))))))) -> c10(0'(1(2(0(0(2(1(1(0(1(1(1(0(1(3(0(2(3(z0)))))))))))))))))), 1'(2(0(0(2(1(1(0(1(1(1(0(1(3(0(2(3(z0))))))))))))))))), 2'(0(0(2(1(1(0(1(1(1(0(1(3(0(2(3(z0)))))))))))))))), 0'(0(2(1(1(0(1(1(1(0(1(3(0(2(3(z0))))))))))))))), 0'(2(1(1(0(1(1(1(0(1(3(0(2(3(z0)))))))))))))), 2'(1(1(0(1(1(1(0(1(3(0(2(3(z0))))))))))))), 1'(1(0(1(1(1(0(1(3(0(2(3(z0)))))))))))), 1'(0(1(1(1(0(1(3(0(2(3(z0))))))))))), 0'(1(1(1(0(1(3(0(2(3(z0)))))))))), 1'(1(1(0(1(3(0(2(3(z0))))))))), 1'(1(0(1(3(0(2(3(z0)))))))), 1'(0(1(3(0(2(3(z0))))))), 0'(1(3(0(2(3(z0)))))), 1'(3(0(2(3(z0))))), 3'(0(2(3(z0)))), 0'(2(3(z0))), 2'(3(z0)), 3'(z0))
   0'(c_1(c_0(c_3(c_2(c_0(c_0(c_0(c_3(c_3(c_0(c_2(c_2(c_2(c_2(c_1(c_1(c_1(z0)))))))))))))))))) -> c11(0'(0(1(1(3(0(3(0(0(2(2(2(0(2(2(1(3(1(z0)))))))))))))))))), 0'(1(1(3(0(3(0(0(2(2(2(0(2(2(1(3(1(z0))))))))))))))))), 1'(1(3(0(3(0(0(2(2(2(0(2(2(1(3(1(z0)))))))))))))))), 1'(3(0(3(0(0(2(2(2(0(2(2(1(3(1(z0))))))))))))))), 3'(0(3(0(0(2(2(2(0(2(2(1(3(1(z0)))))))))))))), 0'(3(0(0(2(2(2(0(2(2(1(3(1(z0))))))))))))), 3'(0(0(2(2(2(0(2(2(1(3(1(z0)))))))))))), 0'(0(2(2(2(0(2(2(1(3(1(z0))))))))))), 0'(2(2(2(0(2(2(1(3(1(z0)))))))))), 2'(2(2(0(2(2(1(3(1(z0))))))))), 2'(2(0(2(2(1(3(1(z0)))))))), 2'(0(2(2(1(3(1(z0))))))), 0'(2(2(1(3(1(z0)))))), 2'(2(1(3(1(z0))))), 2'(1(3(1(z0)))), 1'(3(1(z0))), 3'(1(z0)), 1'(z0))
   0'(c_0(c_3(c_1(c_0(c_2(c_2(c_0(c_2(c_3(c_1(c_1(c_0(c_1(c_2(c_2(c_0(c_1(z0)))))))))))))))))) -> c12(0'(2(1(1(3(0(0(0(1(0(2(3(1(2(2(0(2(1(z0)))))))))))))))))), 2'(1(1(3(0(0(0(1(0(2(3(1(2(2(0(2(1(z0))))))))))))))))), 1'(1(3(0(0(0(1(0(2(3(1(2(2(0(2(1(z0)))))))))))))))), 1'(3(0(0(0(1(0(2(3(1(2(2(0(2(1(z0))))))))))))))), 3'(0(0(0(1(0(2(3(1(2(2(0(2(1(z0)))))))))))))), 0'(0(0(1(0(2(3(1(2(2(0(2(1(z0))))))))))))), 0'(0(1(0(2(3(1(2(2(0(2(1(z0)))))))))))), 0'(1(0(2(3(1(2(2(0(2(1(z0))))))))))), 1'(0(2(3(1(2(2(0(2(1(z0)))))))))), 0'(2(3(1(2(2(0(2(1(z0))))))))), 2'(3(1(2(2(0(2(1(z0)))))))), 3'(1(2(2(0(2(1(z0))))))), 1'(2(2(0(2(1(z0)))))), 2'(2(0(2(1(z0))))), 2'(0(2(1(z0)))), 0'(2(1(z0))), 2'(1(z0)), 1'(z0))
   0'(c_3(c_2(c_0(c_3(c_1(c_0(c_1(c_0(c_3(c_0(c_3(c_0(c_0(c_3(c_0(c_0(c_0(z0)))))))))))))))))) -> c13(0'(3(0(0(0(0(1(2(0(3(3(0(0(3(0(1(3(0(z0)))))))))))))))))), 3'(0(0(0(0(1(2(0(3(3(0(0(3(0(1(3(0(z0))))))))))))))))), 0'(0(0(0(1(2(0(3(3(0(0(3(0(1(3(0(z0)))))))))))))))), 0'(0(0(1(2(0(3(3(0(0(3(0(1(3(0(z0))))))))))))))), 0'(0(1(2(0(3(3(0(0(3(0(1(3(0(z0)))))))))))))), 0'(1(2(0(3(3(0(0(3(0(1(3(0(z0))))))))))))), 1'(2(0(3(3(0(0(3(0(1(3(0(z0)))))))))))), 2'(0(3(3(0(0(3(0(1(3(0(z0))))))))))), 0'(3(3(0(0(3(0(1(3(0(z0)))))))))), 3'(3(0(0(3(0(1(3(0(z0))))))))), 3'(0(0(3(0(1(3(0(z0)))))))), 0'(0(3(0(1(3(0(z0))))))), 0'(3(0(1(3(0(z0)))))), 3'(0(1(3(0(z0))))), 0'(1(3(0(z0)))), 1'(3(0(z0))), 3'(0(z0)), 0'(z0))
   0'(c_1(c_2(c_3(c_2(c_1(c_0(c_1(c_2(c_2(c_0(c_0(c_1(c_0(c_3(c_1(c_0(c_1(z0)))))))))))))))))) -> c14(0'(2(1(1(1(0(2(2(0(0(1(1(0(3(0(1(3(2(z0)))))))))))))))))), 2'(1(1(1(0(2(2(0(0(1(1(0(3(0(1(3(2(z0))))))))))))))))), 1'(1(1(0(2(2(0(0(1(1(0(3(0(1(3(2(z0)))))))))))))))), 1'(1(0(2(2(0(0(1(1(0(3(0(1(3(2(z0))))))))))))))), 1'(0(2(2(0(0(1(1(0(3(0(1(3(2(z0)))))))))))))), 0'(2(2(0(0(1(1(0(3(0(1(3(2(z0))))))))))))), 2'(2(0(0(1(1(0(3(0(1(3(2(z0)))))))))))), 2'(0(0(1(1(0(3(0(1(3(2(z0))))))))))), 0'(0(1(1(0(3(0(1(3(2(z0)))))))))), 0'(1(1(0(3(0(1(3(2(z0))))))))), 1'(1(0(3(0(1(3(2(z0)))))))), 1'(0(3(0(1(3(2(z0))))))), 0'(3(0(1(3(2(z0)))))), 3'(0(1(3(2(z0))))), 0'(1(3(2(z0)))), 1'(3(2(z0))), 3'(2(z0)), 2'(z0))
   0'(c_2(c_1(c_0(c_3(c_0(c_3(c_0(c_3(c_2(c_0(c_1(c_0(c_1(c_2(c_2(c_1(c_1(z0)))))))))))))))))) -> c15(0'(2(3(0(3(2(2(1(2(1(1(0(0(3(0(0(1(1(z0)))))))))))))))))), 2'(3(0(3(2(2(1(2(1(1(0(0(3(0(0(1(1(z0))))))))))))))))), 3'(0(3(2(2(1(2(1(1(0(0(3(0(0(1(1(z0)))))))))))))))), 0'(3(2(2(1(2(1(1(0(0(3(0(0(1(1(z0))))))))))))))), 3'(2(2(1(2(1(1(0(0(3(0(0(1(1(z0)))))))))))))), 2'(2(1(2(1(1(0(0(3(0(0(1(1(z0))))))))))))), 2'(1(2(1(1(0(0(3(0(0(1(1(z0)))))))))))), 1'(2(1(1(0(0(3(0(0(1(1(z0))))))))))), 2'(1(1(0(0(3(0(0(1(1(z0)))))))))), 1'(1(0(0(3(0(0(1(1(z0))))))))), 1'(0(0(3(0(0(1(1(z0)))))))), 0'(0(3(0(0(1(1(z0))))))), 0'(3(0(0(1(1(z0)))))), 3'(0(0(1(1(z0))))), 0'(0(1(1(z0)))), 0'(1(1(z0))), 1'(1(z0)), 1'(z0))
   0'(c_0(c_2(c_2(c_1(c_3(c_2(c_2(c_2(c_1(c_0(c_2(c_2(c_0(c_2(c_2(c_0(c_0(z0)))))))))))))))))) -> c16(0'(2(2(2(2(1(3(0(0(2(1(0(2(2(2(2(0(0(z0)))))))))))))))))), 2'(2(2(2(1(3(0(0(2(1(0(2(2(2(2(0(0(z0))))))))))))))))), 2'(2(2(1(3(0(0(2(1(0(2(2(2(2(0(0(z0)))))))))))))))), 2'(2(1(3(0(0(2(1(0(2(2(2(2(0(0(z0))))))))))))))), 2'(1(3(0(0(2(1(0(2(2(2(2(0(0(z0)))))))))))))), 1'(3(0(0(2(1(0(2(2(2(2(0(0(z0))))))))))))), 3'(0(0(2(1(0(2(2(2(2(0(0(z0)))))))))))), 0'(0(2(1(0(2(2(2(2(0(0(z0))))))))))), 0'(2(1(0(2(2(2(2(0(0(z0)))))))))), 2'(1(0(2(2(2(2(0(0(z0))))))))), 1'(0(2(2(2(2(0(0(z0)))))))), 0'(2(2(2(2(0(0(z0))))))), 2'(2(2(2(0(0(z0)))))), 2'(2(2(0(0(z0))))), 2'(2(0(0(z0)))), 2'(0(0(z0))), 0'(0(z0)), 0'(z0))
   0'(c_3(c_1(c_1(c_2(c_3(c_0(c_3(c_0(c_1(c_0(c_1(c_2(c_2(c_1(c_0(c_2(c_2(z0)))))))))))))))))) -> c17(0'(0(1(3(0(0(2(2(2(3(2(1(1(1(1(0(3(2(z0)))))))))))))))))), 0'(1(3(0(0(2(2(2(3(2(1(1(1(1(0(3(2(z0))))))))))))))))), 1'(3(0(0(2(2(2(3(2(1(1(1(1(0(3(2(z0)))))))))))))))), 3'(0(0(2(2(2(3(2(1(1(1(1(0(3(2(z0))))))))))))))), 0'(0(2(2(2(3(2(1(1(1(1(0(3(2(z0)))))))))))))), 0'(2(2(2(3(2(1(1(1(1(0(3(2(z0))))))))))))), 2'(2(2(3(2(1(1(1(1(0(3(2(z0)))))))))))), 2'(2(3(2(1(1(1(1(0(3(2(z0))))))))))), 2'(3(2(1(1(1(1(0(3(2(z0)))))))))), 3'(2(1(1(1(1(0(3(2(z0))))))))), 2'(1(1(1(1(0(3(2(z0)))))))), 1'(1(1(1(0(3(2(z0))))))), 1'(1(1(0(3(2(z0)))))), 1'(1(0(3(2(z0))))), 1'(0(3(2(z0)))), 0'(3(2(z0))), 3'(2(z0)), 2'(z0))
   0'(c_1(c_1(c_1(c_1(c_3(c_1(c_1(c_0(c_1(c_3(c_1(c_0(c_2(c_3(c_3(c_3(c_2(z0)))))))))))))))))) -> c18(0'(2(0(1(3(1(1(3(1(0(1(3(2(1(3(1(1(3(z0)))))))))))))))))), 2'(0(1(3(1(1(3(1(0(1(3(2(1(3(1(1(3(z0))))))))))))))))), 0'(1(3(1(1(3(1(0(1(3(2(1(3(1(1(3(z0)))))))))))))))), 1'(3(1(1(3(1(0(1(3(2(1(3(1(1(3(z0))))))))))))))), 3'(1(1(3(1(0(1(3(2(1(3(1(1(3(z0)))))))))))))), 1'(1(3(1(0(1(3(2(1(3(1(1(3(z0))))))))))))), 1'(3(1(0(1(3(2(1(3(1(1(3(z0)))))))))))), 3'(1(0(1(3(2(1(3(1(1(3(z0))))))))))), 1'(0(1(3(2(1(3(1(1(3(z0)))))))))), 0'(1(3(2(1(3(1(1(3(z0))))))))), 1'(3(2(1(3(1(1(3(z0)))))))), 3'(2(1(3(1(1(3(z0))))))), 2'(1(3(1(1(3(z0)))))), 1'(3(1(1(3(z0))))), 3'(1(1(3(z0)))), 1'(1(3(z0))), 1'(3(z0)), 3'(z0))
   0'(c_3(c_0(c_1(c_0(c_3(c_0(c_1(c_1(c_1(c_2(c_0(c_0(c_0(c_3(c_2(c_1(c_0(z0)))))))))))))))))) -> c19(0'(0(2(2(1(3(0(0(1(3(0(1(0(1(0(0(1(3(z0)))))))))))))))))), 0'(2(2(1(3(0(0(1(3(0(1(0(1(0(0(1(3(z0))))))))))))))))), 2'(2(1(3(0(0(1(3(0(1(0(1(0(0(1(3(z0)))))))))))))))), 2'(1(3(0(0(1(3(0(1(0(1(0(0(1(3(z0))))))))))))))), 1'(3(0(0(1(3(0(1(0(1(0(0(1(3(z0)))))))))))))), 3'(0(0(1(3(0(1(0(1(0(0(1(3(z0))))))))))))), 0'(0(1(3(0(1(0(1(0(0(1(3(z0)))))))))))), 0'(1(3(0(1(0(1(0(0(1(3(z0))))))))))), 1'(3(0(1(0(1(0(0(1(3(z0)))))))))), 3'(0(1(0(1(0(0(1(3(z0))))))))), 0'(1(0(1(0(0(1(3(z0)))))))), 1'(0(1(0(0(1(3(z0))))))), 0'(1(0(0(1(3(z0)))))), 1'(0(0(1(3(z0))))), 0'(0(1(3(z0)))), 0'(1(3(z0))), 1'(3(z0)), 3'(z0))
   1'(c_0(c_1(c_0(c_2(c_0(c_2(c_3(c_1(c_1(c_2(c_2(c_0(c_0(c_3(c_0(c_3(c_2(z0)))))))))))))))))) -> c21(0'(0(0(1(1(3(1(3(2(0(0(2(2(1(3(0(2(2(z0)))))))))))))))))), 0'(0(1(1(3(1(3(2(0(0(2(2(1(3(0(2(2(z0))))))))))))))))), 0'(1(1(3(1(3(2(0(0(2(2(1(3(0(2(2(z0)))))))))))))))), 1'(1(3(1(3(2(0(0(2(2(1(3(0(2(2(z0))))))))))))))), 1'(3(1(3(2(0(0(2(2(1(3(0(2(2(z0)))))))))))))), 3'(1(3(2(0(0(2(2(1(3(0(2(2(z0))))))))))))), 1'(3(2(0(0(2(2(1(3(0(2(2(z0)))))))))))), 3'(2(0(0(2(2(1(3(0(2(2(z0))))))))))), 2'(0(0(2(2(1(3(0(2(2(z0)))))))))), 0'(0(2(2(1(3(0(2(2(z0))))))))), 0'(2(2(1(3(0(2(2(z0)))))))), 2'(2(1(3(0(2(2(z0))))))), 2'(1(3(0(2(2(z0)))))), 1'(3(0(2(2(z0))))), 3'(0(2(2(z0)))), 0'(2(2(z0))), 2'(2(z0)), 2'(z0))
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   1'(c_3(c_1(c_3(c_2(c_0(c_1(c_3(c_1(c_1(c_3(c_2(c_3(c_3(c_3(c_3(c_0(c_1(z0)))))))))))))))))) -> c30(1'(3(3(3(1(2(3(1(3(0(2(1(1(3(0(3(3(1(z0)))))))))))))))))), 3'(3(3(1(2(3(1(3(0(2(1(1(3(0(3(3(1(z0))))))))))))))))), 3'(3(1(2(3(1(3(0(2(1(1(3(0(3(3(1(z0)))))))))))))))), 3'(1(2(3(1(3(0(2(1(1(3(0(3(3(1(z0))))))))))))))), 1'(2(3(1(3(0(2(1(1(3(0(3(3(1(z0)))))))))))))), 2'(3(1(3(0(2(1(1(3(0(3(3(1(z0))))))))))))), 3'(1(3(0(2(1(1(3(0(3(3(1(z0)))))))))))), 1'(3(0(2(1(1(3(0(3(3(1(z0))))))))))), 3'(0(2(1(1(3(0(3(3(1(z0)))))))))), 0'(2(1(1(3(0(3(3(1(z0))))))))), 2'(1(1(3(0(3(3(1(z0)))))))), 1'(1(3(0(3(3(1(z0))))))), 1'(3(0(3(3(1(z0)))))), 3'(0(3(3(1(z0))))), 0'(3(3(1(z0)))), 3'(3(1(z0))), 3'(1(z0)), 1'(z0))
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   3'(c_2(c_0(c_1(c_2(c_1(c_0(c_3(c_3(c_3(c_3(c_1(c_2(c_1(c_1(c_0(c_1(c_0(z0)))))))))))))))))) -> c91(3'(0(0(2(1(3(2(3(3(1(1(3(1(1(0(2(0(1(z0)))))))))))))))))), 0'(0(2(1(3(2(3(3(1(1(3(1(1(0(2(0(1(z0))))))))))))))))), 0'(2(1(3(2(3(3(1(1(3(1(1(0(2(0(1(z0)))))))))))))))), 2'(1(3(2(3(3(1(1(3(1(1(0(2(0(1(z0))))))))))))))), 1'(3(2(3(3(1(1(3(1(1(0(2(0(1(z0)))))))))))))), 3'(2(3(3(1(1(3(1(1(0(2(0(1(z0))))))))))))), 2'(3(3(1(1(3(1(1(0(2(0(1(z0)))))))))))), 3'(3(1(1(3(1(1(0(2(0(1(z0))))))))))), 3'(1(1(3(1(1(0(2(0(1(z0)))))))))), 1'(1(3(1(1(0(2(0(1(z0))))))))), 1'(3(1(1(0(2(0(1(z0)))))))), 3'(1(1(0(2(0(1(z0))))))), 1'(1(0(2(0(1(z0)))))), 1'(0(2(0(1(z0))))), 0'(2(0(1(z0)))), 2'(0(1(z0))), 0'(1(z0)), 1'(z0))
   ENCODE_0(z0) -> c8(0'(encArg(z0)))
   ENCODE_2(z0) -> c8(2'(encArg(z0)))
   ENCODE_1(z0) -> c8(1'(encArg(z0)))
   ENCODE_3(z0) -> c8(3'(encArg(z0)))
   ENCARG(cons_0(cons_0(z0))) -> c(0'(0(encArg(z0))), ENCARG(cons_0(z0)))
   ENCARG(cons_0(cons_1(z0))) -> c(0'(1(encArg(z0))), ENCARG(cons_1(z0)))
   ENCARG(cons_0(cons_2(z0))) -> c(0'(2(encArg(z0))), ENCARG(cons_2(z0)))
   ENCARG(cons_0(cons_3(z0))) -> c(0'(3(encArg(z0))), ENCARG(cons_3(z0)))
S tuples:
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   0'(c_1(c_0(c_2(c_1(c_1(c_0(c_0(c_1(c_0(c_3(c_1(c_1(c_0(c_2(c_1(c_2(c_3(z0)))))))))))))))))) -> c10(0'(1(2(0(0(2(1(1(0(1(1(1(0(1(3(0(2(3(z0)))))))))))))))))), 1'(2(0(0(2(1(1(0(1(1(1(0(1(3(0(2(3(z0))))))))))))))))), 2'(0(0(2(1(1(0(1(1(1(0(1(3(0(2(3(z0)))))))))))))))), 0'(0(2(1(1(0(1(1(1(0(1(3(0(2(3(z0))))))))))))))), 0'(2(1(1(0(1(1(1(0(1(3(0(2(3(z0)))))))))))))), 2'(1(1(0(1(1(1(0(1(3(0(2(3(z0))))))))))))), 1'(1(0(1(1(1(0(1(3(0(2(3(z0)))))))))))), 1'(0(1(1(1(0(1(3(0(2(3(z0))))))))))), 0'(1(1(1(0(1(3(0(2(3(z0)))))))))), 1'(1(1(0(1(3(0(2(3(z0))))))))), 1'(1(0(1(3(0(2(3(z0)))))))), 1'(0(1(3(0(2(3(z0))))))), 0'(1(3(0(2(3(z0)))))), 1'(3(0(2(3(z0))))), 3'(0(2(3(z0)))), 0'(2(3(z0))), 2'(3(z0)), 3'(z0))
   0'(c_1(c_0(c_3(c_2(c_0(c_0(c_0(c_3(c_3(c_0(c_2(c_2(c_2(c_2(c_1(c_1(c_1(z0)))))))))))))))))) -> c11(0'(0(1(1(3(0(3(0(0(2(2(2(0(2(2(1(3(1(z0)))))))))))))))))), 0'(1(1(3(0(3(0(0(2(2(2(0(2(2(1(3(1(z0))))))))))))))))), 1'(1(3(0(3(0(0(2(2(2(0(2(2(1(3(1(z0)))))))))))))))), 1'(3(0(3(0(0(2(2(2(0(2(2(1(3(1(z0))))))))))))))), 3'(0(3(0(0(2(2(2(0(2(2(1(3(1(z0)))))))))))))), 0'(3(0(0(2(2(2(0(2(2(1(3(1(z0))))))))))))), 3'(0(0(2(2(2(0(2(2(1(3(1(z0)))))))))))), 0'(0(2(2(2(0(2(2(1(3(1(z0))))))))))), 0'(2(2(2(0(2(2(1(3(1(z0)))))))))), 2'(2(2(0(2(2(1(3(1(z0))))))))), 2'(2(0(2(2(1(3(1(z0)))))))), 2'(0(2(2(1(3(1(z0))))))), 0'(2(2(1(3(1(z0)))))), 2'(2(1(3(1(z0))))), 2'(1(3(1(z0)))), 1'(3(1(z0))), 3'(1(z0)), 1'(z0))
   0'(c_0(c_3(c_1(c_0(c_2(c_2(c_0(c_2(c_3(c_1(c_1(c_0(c_1(c_2(c_2(c_0(c_1(z0)))))))))))))))))) -> c12(0'(2(1(1(3(0(0(0(1(0(2(3(1(2(2(0(2(1(z0)))))))))))))))))), 2'(1(1(3(0(0(0(1(0(2(3(1(2(2(0(2(1(z0))))))))))))))))), 1'(1(3(0(0(0(1(0(2(3(1(2(2(0(2(1(z0)))))))))))))))), 1'(3(0(0(0(1(0(2(3(1(2(2(0(2(1(z0))))))))))))))), 3'(0(0(0(1(0(2(3(1(2(2(0(2(1(z0)))))))))))))), 0'(0(0(1(0(2(3(1(2(2(0(2(1(z0))))))))))))), 0'(0(1(0(2(3(1(2(2(0(2(1(z0)))))))))))), 0'(1(0(2(3(1(2(2(0(2(1(z0))))))))))), 1'(0(2(3(1(2(2(0(2(1(z0)))))))))), 0'(2(3(1(2(2(0(2(1(z0))))))))), 2'(3(1(2(2(0(2(1(z0)))))))), 3'(1(2(2(0(2(1(z0))))))), 1'(2(2(0(2(1(z0)))))), 2'(2(0(2(1(z0))))), 2'(0(2(1(z0)))), 0'(2(1(z0))), 2'(1(z0)), 1'(z0))
   0'(c_3(c_2(c_0(c_3(c_1(c_0(c_1(c_0(c_3(c_0(c_3(c_0(c_0(c_3(c_0(c_0(c_0(z0)))))))))))))))))) -> c13(0'(3(0(0(0(0(1(2(0(3(3(0(0(3(0(1(3(0(z0)))))))))))))))))), 3'(0(0(0(0(1(2(0(3(3(0(0(3(0(1(3(0(z0))))))))))))))))), 0'(0(0(0(1(2(0(3(3(0(0(3(0(1(3(0(z0)))))))))))))))), 0'(0(0(1(2(0(3(3(0(0(3(0(1(3(0(z0))))))))))))))), 0'(0(1(2(0(3(3(0(0(3(0(1(3(0(z0)))))))))))))), 0'(1(2(0(3(3(0(0(3(0(1(3(0(z0))))))))))))), 1'(2(0(3(3(0(0(3(0(1(3(0(z0)))))))))))), 2'(0(3(3(0(0(3(0(1(3(0(z0))))))))))), 0'(3(3(0(0(3(0(1(3(0(z0)))))))))), 3'(3(0(0(3(0(1(3(0(z0))))))))), 3'(0(0(3(0(1(3(0(z0)))))))), 0'(0(3(0(1(3(0(z0))))))), 0'(3(0(1(3(0(z0)))))), 3'(0(1(3(0(z0))))), 0'(1(3(0(z0)))), 1'(3(0(z0))), 3'(0(z0)), 0'(z0))
   0'(c_1(c_2(c_3(c_2(c_1(c_0(c_1(c_2(c_2(c_0(c_0(c_1(c_0(c_3(c_1(c_0(c_1(z0)))))))))))))))))) -> c14(0'(2(1(1(1(0(2(2(0(0(1(1(0(3(0(1(3(2(z0)))))))))))))))))), 2'(1(1(1(0(2(2(0(0(1(1(0(3(0(1(3(2(z0))))))))))))))))), 1'(1(1(0(2(2(0(0(1(1(0(3(0(1(3(2(z0)))))))))))))))), 1'(1(0(2(2(0(0(1(1(0(3(0(1(3(2(z0))))))))))))))), 1'(0(2(2(0(0(1(1(0(3(0(1(3(2(z0)))))))))))))), 0'(2(2(0(0(1(1(0(3(0(1(3(2(z0))))))))))))), 2'(2(0(0(1(1(0(3(0(1(3(2(z0)))))))))))), 2'(0(0(1(1(0(3(0(1(3(2(z0))))))))))), 0'(0(1(1(0(3(0(1(3(2(z0)))))))))), 0'(1(1(0(3(0(1(3(2(z0))))))))), 1'(1(0(3(0(1(3(2(z0)))))))), 1'(0(3(0(1(3(2(z0))))))), 0'(3(0(1(3(2(z0)))))), 3'(0(1(3(2(z0))))), 0'(1(3(2(z0)))), 1'(3(2(z0))), 3'(2(z0)), 2'(z0))
   0'(c_2(c_1(c_0(c_3(c_0(c_3(c_0(c_3(c_2(c_0(c_1(c_0(c_1(c_2(c_2(c_1(c_1(z0)))))))))))))))))) -> c15(0'(2(3(0(3(2(2(1(2(1(1(0(0(3(0(0(1(1(z0)))))))))))))))))), 2'(3(0(3(2(2(1(2(1(1(0(0(3(0(0(1(1(z0))))))))))))))))), 3'(0(3(2(2(1(2(1(1(0(0(3(0(0(1(1(z0)))))))))))))))), 0'(3(2(2(1(2(1(1(0(0(3(0(0(1(1(z0))))))))))))))), 3'(2(2(1(2(1(1(0(0(3(0(0(1(1(z0)))))))))))))), 2'(2(1(2(1(1(0(0(3(0(0(1(1(z0))))))))))))), 2'(1(2(1(1(0(0(3(0(0(1(1(z0)))))))))))), 1'(2(1(1(0(0(3(0(0(1(1(z0))))))))))), 2'(1(1(0(0(3(0(0(1(1(z0)))))))))), 1'(1(0(0(3(0(0(1(1(z0))))))))), 1'(0(0(3(0(0(1(1(z0)))))))), 0'(0(3(0(0(1(1(z0))))))), 0'(3(0(0(1(1(z0)))))), 3'(0(0(1(1(z0))))), 0'(0(1(1(z0)))), 0'(1(1(z0))), 1'(1(z0)), 1'(z0))
   0'(c_0(c_2(c_2(c_1(c_3(c_2(c_2(c_2(c_1(c_0(c_2(c_2(c_0(c_2(c_2(c_0(c_0(z0)))))))))))))))))) -> c16(0'(2(2(2(2(1(3(0(0(2(1(0(2(2(2(2(0(0(z0)))))))))))))))))), 2'(2(2(2(1(3(0(0(2(1(0(2(2(2(2(0(0(z0))))))))))))))))), 2'(2(2(1(3(0(0(2(1(0(2(2(2(2(0(0(z0)))))))))))))))), 2'(2(1(3(0(0(2(1(0(2(2(2(2(0(0(z0))))))))))))))), 2'(1(3(0(0(2(1(0(2(2(2(2(0(0(z0)))))))))))))), 1'(3(0(0(2(1(0(2(2(2(2(0(0(z0))))))))))))), 3'(0(0(2(1(0(2(2(2(2(0(0(z0)))))))))))), 0'(0(2(1(0(2(2(2(2(0(0(z0))))))))))), 0'(2(1(0(2(2(2(2(0(0(z0)))))))))), 2'(1(0(2(2(2(2(0(0(z0))))))))), 1'(0(2(2(2(2(0(0(z0)))))))), 0'(2(2(2(2(0(0(z0))))))), 2'(2(2(2(0(0(z0)))))), 2'(2(2(0(0(z0))))), 2'(2(0(0(z0)))), 2'(0(0(z0))), 0'(0(z0)), 0'(z0))
   0'(c_3(c_1(c_1(c_2(c_3(c_0(c_3(c_0(c_1(c_0(c_1(c_2(c_2(c_1(c_0(c_2(c_2(z0)))))))))))))))))) -> c17(0'(0(1(3(0(0(2(2(2(3(2(1(1(1(1(0(3(2(z0)))))))))))))))))), 0'(1(3(0(0(2(2(2(3(2(1(1(1(1(0(3(2(z0))))))))))))))))), 1'(3(0(0(2(2(2(3(2(1(1(1(1(0(3(2(z0)))))))))))))))), 3'(0(0(2(2(2(3(2(1(1(1(1(0(3(2(z0))))))))))))))), 0'(0(2(2(2(3(2(1(1(1(1(0(3(2(z0)))))))))))))), 0'(2(2(2(3(2(1(1(1(1(0(3(2(z0))))))))))))), 2'(2(2(3(2(1(1(1(1(0(3(2(z0)))))))))))), 2'(2(3(2(1(1(1(1(0(3(2(z0))))))))))), 2'(3(2(1(1(1(1(0(3(2(z0)))))))))), 3'(2(1(1(1(1(0(3(2(z0))))))))), 2'(1(1(1(1(0(3(2(z0)))))))), 1'(1(1(1(0(3(2(z0))))))), 1'(1(1(0(3(2(z0)))))), 1'(1(0(3(2(z0))))), 1'(0(3(2(z0)))), 0'(3(2(z0))), 3'(2(z0)), 2'(z0))
   0'(c_1(c_1(c_1(c_1(c_3(c_1(c_1(c_0(c_1(c_3(c_1(c_0(c_2(c_3(c_3(c_3(c_2(z0)))))))))))))))))) -> c18(0'(2(0(1(3(1(1(3(1(0(1(3(2(1(3(1(1(3(z0)))))))))))))))))), 2'(0(1(3(1(1(3(1(0(1(3(2(1(3(1(1(3(z0))))))))))))))))), 0'(1(3(1(1(3(1(0(1(3(2(1(3(1(1(3(z0)))))))))))))))), 1'(3(1(1(3(1(0(1(3(2(1(3(1(1(3(z0))))))))))))))), 3'(1(1(3(1(0(1(3(2(1(3(1(1(3(z0)))))))))))))), 1'(1(3(1(0(1(3(2(1(3(1(1(3(z0))))))))))))), 1'(3(1(0(1(3(2(1(3(1(1(3(z0)))))))))))), 3'(1(0(1(3(2(1(3(1(1(3(z0))))))))))), 1'(0(1(3(2(1(3(1(1(3(z0)))))))))), 0'(1(3(2(1(3(1(1(3(z0))))))))), 1'(3(2(1(3(1(1(3(z0)))))))), 3'(2(1(3(1(1(3(z0))))))), 2'(1(3(1(1(3(z0)))))), 1'(3(1(1(3(z0))))), 3'(1(1(3(z0)))), 1'(1(3(z0))), 1'(3(z0)), 3'(z0))
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   3'(c_1(c_1(c_0(c_3(c_0(c_1(c_1(c_3(c_2(c_1(c_2(c_3(c_3(c_1(c_3(c_3(c_1(z0)))))))))))))))))) -> c87(3'(1(3(2(1(1(1(3(3(0(3(2(1(3(0(1(3(1(z0)))))))))))))))))), 1'(3(2(1(1(1(3(3(0(3(2(1(3(0(1(3(1(z0))))))))))))))))), 3'(2(1(1(1(3(3(0(3(2(1(3(0(1(3(1(z0)))))))))))))))), 2'(1(1(1(3(3(0(3(2(1(3(0(1(3(1(z0))))))))))))))), 1'(1(1(3(3(0(3(2(1(3(0(1(3(1(z0)))))))))))))), 1'(1(3(3(0(3(2(1(3(0(1(3(1(z0))))))))))))), 1'(3(3(0(3(2(1(3(0(1(3(1(z0)))))))))))), 3'(3(0(3(2(1(3(0(1(3(1(z0))))))))))), 3'(0(3(2(1(3(0(1(3(1(z0)))))))))), 0'(3(2(1(3(0(1(3(1(z0))))))))), 3'(2(1(3(0(1(3(1(z0)))))))), 2'(1(3(0(1(3(1(z0))))))), 1'(3(0(1(3(1(z0)))))), 3'(0(1(3(1(z0))))), 0'(1(3(1(z0)))), 1'(3(1(z0))), 3'(1(z0)), 1'(z0))
   3'(c_3(c_0(c_1(c_0(c_3(c_2(c_0(c_1(c_1(c_1(c_1(c_3(c_1(c_2(c_3(c_3(c_3(z0)))))))))))))))))) -> c88(3'(2(3(1(1(1(0(3(3(0(2(1(3(0(1(3(1(3(z0)))))))))))))))))), 2'(3(1(1(1(0(3(3(0(2(1(3(0(1(3(1(3(z0))))))))))))))))), 3'(1(1(1(0(3(3(0(2(1(3(0(1(3(1(3(z0)))))))))))))))), 1'(1(1(0(3(3(0(2(1(3(0(1(3(1(3(z0))))))))))))))), 1'(1(0(3(3(0(2(1(3(0(1(3(1(3(z0)))))))))))))), 1'(0(3(3(0(2(1(3(0(1(3(1(3(z0))))))))))))), 0'(3(3(0(2(1(3(0(1(3(1(3(z0)))))))))))), 3'(3(0(2(1(3(0(1(3(1(3(z0))))))))))), 3'(0(2(1(3(0(1(3(1(3(z0)))))))))), 0'(2(1(3(0(1(3(1(3(z0))))))))), 2'(1(3(0(1(3(1(3(z0)))))))), 1'(3(0(1(3(1(3(z0))))))), 3'(0(1(3(1(3(z0)))))), 0'(1(3(1(3(z0))))), 1'(3(1(3(z0)))), 3'(1(3(z0))), 1'(3(z0)), 3'(z0))
   3'(c_3(c_1(c_0(c_3(c_2(c_3(c_0(c_3(c_1(c_0(c_2(c_0(c_3(c_0(c_2(c_2(c_0(z0)))))))))))))))))) -> c89(3'(3(3(2(0(3(0(3(0(1(0(0(1(3(0(2(2(2(z0)))))))))))))))))), 3'(3(2(0(3(0(3(0(1(0(0(1(3(0(2(2(2(z0))))))))))))))))), 3'(2(0(3(0(3(0(1(0(0(1(3(0(2(2(2(z0)))))))))))))))), 2'(0(3(0(3(0(1(0(0(1(3(0(2(2(2(z0))))))))))))))), 0'(3(0(3(0(1(0(0(1(3(0(2(2(2(z0)))))))))))))), 3'(0(3(0(1(0(0(1(3(0(2(2(2(z0))))))))))))), 0'(3(0(1(0(0(1(3(0(2(2(2(z0)))))))))))), 3'(0(1(0(0(1(3(0(2(2(2(z0))))))))))), 0'(1(0(0(1(3(0(2(2(2(z0)))))))))), 1'(0(0(1(3(0(2(2(2(z0))))))))), 0'(0(1(3(0(2(2(2(z0)))))))), 0'(1(3(0(2(2(2(z0))))))), 1'(3(0(2(2(2(z0)))))), 3'(0(2(2(2(z0))))), 0'(2(2(2(z0)))), 2'(2(2(z0))), 2'(2(z0)), 2'(z0))
   3'(c_1(c_2(c_0(c_3(c_2(c_2(c_3(c_2(c_0(c_3(c_3(c_2(c_3(c_3(c_1(c_1(c_3(z0)))))))))))))))))) -> c90(3'(2(2(3(1(3(3(2(1(3(3(0(2(0(2(3(1(3(z0)))))))))))))))))), 2'(2(3(1(3(3(2(1(3(3(0(2(0(2(3(1(3(z0))))))))))))))))), 2'(3(1(3(3(2(1(3(3(0(2(0(2(3(1(3(z0)))))))))))))))), 3'(1(3(3(2(1(3(3(0(2(0(2(3(1(3(z0))))))))))))))), 1'(3(3(2(1(3(3(0(2(0(2(3(1(3(z0)))))))))))))), 3'(3(2(1(3(3(0(2(0(2(3(1(3(z0))))))))))))), 3'(2(1(3(3(0(2(0(2(3(1(3(z0)))))))))))), 2'(1(3(3(0(2(0(2(3(1(3(z0))))))))))), 1'(3(3(0(2(0(2(3(1(3(z0)))))))))), 3'(3(0(2(0(2(3(1(3(z0))))))))), 3'(0(2(0(2(3(1(3(z0)))))))), 0'(2(0(2(3(1(3(z0))))))), 2'(0(2(3(1(3(z0)))))), 0'(2(3(1(3(z0))))), 2'(3(1(3(z0)))), 3'(1(3(z0))), 1'(3(z0)), 3'(z0))
   3'(c_2(c_0(c_1(c_2(c_1(c_0(c_3(c_3(c_3(c_3(c_1(c_2(c_1(c_1(c_0(c_1(c_0(z0)))))))))))))))))) -> c91(3'(0(0(2(1(3(2(3(3(1(1(3(1(1(0(2(0(1(z0)))))))))))))))))), 0'(0(2(1(3(2(3(3(1(1(3(1(1(0(2(0(1(z0))))))))))))))))), 0'(2(1(3(2(3(3(1(1(3(1(1(0(2(0(1(z0)))))))))))))))), 2'(1(3(2(3(3(1(1(3(1(1(0(2(0(1(z0))))))))))))))), 1'(3(2(3(3(1(1(3(1(1(0(2(0(1(z0)))))))))))))), 3'(2(3(3(1(1(3(1(1(0(2(0(1(z0))))))))))))), 2'(3(3(1(1(3(1(1(0(2(0(1(z0)))))))))))), 3'(3(1(1(3(1(1(0(2(0(1(z0))))))))))), 3'(1(1(3(1(1(0(2(0(1(z0)))))))))), 1'(1(3(1(1(0(2(0(1(z0))))))))), 1'(3(1(1(0(2(0(1(z0)))))))), 3'(1(1(0(2(0(1(z0))))))), 1'(1(0(2(0(1(z0)))))), 1'(0(2(0(1(z0))))), 0'(2(0(1(z0)))), 2'(0(1(z0))), 0'(1(z0)), 1'(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_2_1, ENCODE_1_1, ENCODE_3_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, c21_18, c22_18, c23_18, c24_18, c25_18, c26_18, c27_18, c28_18, c29_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, c43_18, c44_18, c45_18, c46_18, c47_18, c48_18, c49_18, c50_18, c51_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_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, 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_2(c_3(c_0(c_1(c_2(c_3(c_2(c_0(c_3(c_1(c_0(c_0(c_0(c_3(c_3(c_0(c_3(z0)))))))))))))))))) -> 0(2(1(3(0(0(3(3(0(1(0(2(2(3(3(0(0(3(z0))))))))))))))))))
   0(c_1(c_0(c_2(c_1(c_1(c_0(c_0(c_1(c_0(c_3(c_1(c_1(c_0(c_2(c_1(c_2(c_3(z0)))))))))))))))))) -> 0(1(2(0(0(2(1(1(0(1(1(1(0(1(3(0(2(3(z0))))))))))))))))))
   0(c_1(c_0(c_3(c_2(c_0(c_0(c_0(c_3(c_3(c_0(c_2(c_2(c_2(c_2(c_1(c_1(c_1(z0)))))))))))))))))) -> 0(0(1(1(3(0(3(0(0(2(2(2(0(2(2(1(3(1(z0))))))))))))))))))
   0(c_0(c_3(c_1(c_0(c_2(c_2(c_0(c_2(c_3(c_1(c_1(c_0(c_1(c_2(c_2(c_0(c_1(z0)))))))))))))))))) -> 0(2(1(1(3(0(0(0(1(0(2(3(1(2(2(0(2(1(z0))))))))))))))))))
   0(c_3(c_2(c_0(c_3(c_1(c_0(c_1(c_0(c_3(c_0(c_3(c_0(c_0(c_3(c_0(c_0(c_0(z0)))))))))))))))))) -> 0(3(0(0(0(0(1(2(0(3(3(0(0(3(0(1(3(0(z0))))))))))))))))))
   0(c_1(c_2(c_3(c_2(c_1(c_0(c_1(c_2(c_2(c_0(c_0(c_1(c_0(c_3(c_1(c_0(c_1(z0)))))))))))))))))) -> 0(2(1(1(1(0(2(2(0(0(1(1(0(3(0(1(3(2(z0))))))))))))))))))
   0(c_2(c_1(c_0(c_3(c_0(c_3(c_0(c_3(c_2(c_0(c_1(c_0(c_1(c_2(c_2(c_1(c_1(z0)))))))))))))))))) -> 0(2(3(0(3(2(2(1(2(1(1(0(0(3(0(0(1(1(z0))))))))))))))))))
   0(c_0(c_2(c_2(c_1(c_3(c_2(c_2(c_2(c_1(c_0(c_2(c_2(c_0(c_2(c_2(c_0(c_0(z0)))))))))))))))))) -> 0(2(2(2(2(1(3(0(0(2(1(0(2(2(2(2(0(0(z0))))))))))))))))))
   0(c_3(c_1(c_1(c_2(c_3(c_0(c_3(c_0(c_1(c_0(c_1(c_2(c_2(c_1(c_0(c_2(c_2(z0)))))))))))))))))) -> 0(0(1(3(0(0(2(2(2(3(2(1(1(1(1(0(3(2(z0))))))))))))))))))
   0(c_1(c_1(c_1(c_1(c_3(c_1(c_1(c_0(c_1(c_3(c_1(c_0(c_2(c_3(c_3(c_3(c_2(z0)))))))))))))))))) -> 0(2(0(1(3(1(1(3(1(0(1(3(2(1(3(1(1(3(z0))))))))))))))))))
   0(c_3(c_0(c_1(c_0(c_3(c_0(c_1(c_1(c_1(c_2(c_0(c_0(c_0(c_3(c_2(c_1(c_0(z0)))))))))))))))))) -> 0(0(2(2(1(3(0(0(1(3(0(1(0(1(0(0(1(3(z0))))))))))))))))))
   1(z0) -> c_1(z0)
   1(c_0(c_1(c_0(c_2(c_0(c_2(c_3(c_1(c_1(c_2(c_2(c_0(c_0(c_3(c_0(c_3(c_2(z0)))))))))))))))))) -> 0(0(0(1(1(3(1(3(2(0(0(2(2(1(3(0(2(2(z0))))))))))))))))))
   1(c_2(c_0(c_0(c_2(c_1(c_3(c_2(c_2(c_3(c_2(c_2(c_0(c_3(c_2(c_3(c_2(c_2(z0)))))))))))))))))) -> 1(2(0(3(2(2(2(2(3(0(0(2(2(2(3(1(3(2(z0))))))))))))))))))
   1(c_0(c_2(c_3(c_3(c_3(c_1(c_0(c_2(c_0(c_1(c_2(c_2(c_3(c_2(c_1(c_0(c_1(z0)))))))))))))))))) -> 2(3(2(1(0(1(3(1(3(0(2(3(0(2(0(1(2(1(z0))))))))))))))))))
   1(c_1(c_1(c_2(c_1(c_1(c_1(c_2(c_1(c_3(c_1(c_0(c_1(c_2(c_1(c_2(c_3(c_1(z0)))))))))))))))))) -> 1(1(1(1(1(1(3(0(2(2(1(1(1(2(3(1(2(1(z0))))))))))))))))))
   1(c_1(c_0(c_3(c_1(c_0(c_2(c_3(c_1(c_1(c_0(c_3(c_3(c_0(c_3(c_1(c_1(c_1(z0)))))))))))))))))) -> 1(1(3(1(3(2(3(0(1(0(3(0(1(3(1(0(1(1(z0))))))))))))))))))
   1(c_3(c_2(c_2(c_1(c_0(c_1(c_2(c_1(c_0(c_3(c_1(c_0(c_3(c_2(c_3(c_0(c_3(z0)))))))))))))))))) -> 3(1(3(2(1(1(0(0(2(0(0(3(1(3(2(2(1(3(z0))))))))))))))))))
   1(c_2(c_1(c_2(c_1(c_2(c_0(c_1(c_0(c_1(c_3(c_1(c_0(c_0(c_0(c_1(c_3(c_3(z0)))))))))))))))))) -> 1(1(2(2(1(0(1(3(0(1(1(3(0(2(1(3(0(0(z0))))))))))))))))))
   1(c_2(c_0(c_1(c_2(c_1(c_0(c_2(c_0(c_0(c_3(c_1(c_0(c_2(c_0(c_3(c_2(c_2(z0)))))))))))))))))) -> 1(1(0(0(0(2(1(0(2(0(3(2(2(1(0(2(3(2(z0))))))))))))))))))
   1(c_3(c_1(c_1(c_0(c_1(c_2(c_1(c_1(c_1(c_0(c_3(c_1(c_1(c_0(c_2(c_3(c_1(z0)))))))))))))))))) -> 1(1(3(2(1(3(1(1(0(0(1(3(2(1(0(1(1(1(z0))))))))))))))))))
   1(c_3(c_1(c_3(c_2(c_0(c_1(c_3(c_1(c_1(c_3(c_2(c_3(c_3(c_3(c_3(c_0(c_1(z0)))))))))))))))))) -> 1(3(3(3(1(2(3(1(3(0(2(1(1(3(0(3(3(1(z0))))))))))))))))))
   1(c_0(c_0(c_0(c_1(c_2(c_3(c_3(c_2(c_2(c_1(c_0(c_2(c_3(c_3(c_2(c_0(c_3(z0)))))))))))))))))) -> 3(0(2(1(1(3(3(1(0(0(2(0(2(2(3(2(0(3(z0))))))))))))))))))
   1(c_1(c_0(c_0(c_1(c_2(c_1(c_2(c_2(c_0(c_3(c_1(c_2(c_3(c_2(c_0(c_0(c_3(z0)))))))))))))))))) -> 1(2(2(0(2(1(0(2(1(0(0(2(3(0(1(1(3(3(z0))))))))))))))))))
   1(c_2(c_0(c_2(c_0(c_0(c_0(c_3(c_0(c_1(c_0(c_1(c_1(c_0(c_3(c_1(c_0(c_3(z0)))))))))))))))))) -> 1(3(0(3(1(1(0(1(1(0(0(0(2(2(3(0(0(0(z0))))))))))))))))))
   1(c_1(c_0(c_3(c_1(c_0(c_3(c_3(c_3(c_1(c_1(c_2(c_2(c_2(c_2(c_0(c_1(c_2(z0)))))))))))))))))) -> 2(1(1(0(0(1(1(2(3(3(3(0(1(2(3(2(1(2(z0))))))))))))))))))
   1(c_3(c_3(c_0(c_0(c_3(c_3(c_1(c_0(c_0(c_2(c_3(c_3(c_1(c_3(c_2(c_3(c_1(z0)))))))))))))))))) -> 1(3(0(0(1(3(0(1(3(3(2(2(3(3(3(3(0(1(z0))))))))))))))))))
   1(c_2(c_3(c_3(c_2(c_1(c_0(c_3(c_2(c_2(c_1(c_0(c_3(c_1(c_0(c_0(c_0(c_0(z0)))))))))))))))))) -> 0(3(0(1(2(1(3(0(1(0(2(1(2(3(3(0(2(0(z0))))))))))))))))))
   1(c_0(c_3(c_0(c_3(c_1(c_0(c_3(c_3(c_1(c_2(c_1(c_3(c_2(c_0(c_2(c_1(c_0(z0)))))))))))))))))) -> 2(2(1(3(0(0(1(3(1(0(2(0(0(3(3(3(1(1(z0))))))))))))))))))
   1(c_2(c_3(c_0(c_3(c_2(c_0(c_2(c_0(c_2(c_0(c_3(c_2(c_0(c_2(c_2(c_0(c_0(z0)))))))))))))))))) -> 1(2(2(2(0(3(3(0(0(2(0(0(0(2(2(2(3(0(z0))))))))))))))))))
   1(c_1(c_3(c_2(c_0(c_2(c_3(c_1(c_0(c_1(c_0(c_2(c_3(c_3(c_2(c_2(c_0(c_0(z0)))))))))))))))))) -> 2(0(2(3(2(0(2(0(1(2(1(3(0(1(3(0(1(3(z0))))))))))))))))))
   1(c_0(c_3(c_3(c_1(c_0(c_3(c_3(c_3(c_1(c_1(c_3(c_2(c_0(c_0(c_1(c_3(c_1(z0)))))))))))))))))) -> 1(3(3(0(1(3(3(0(1(3(3(0(1(3(2(1(0(1(z0))))))))))))))))))
   1(c_2(c_1(c_3(c_2(c_3(c_3(c_1(c_1(c_1(c_0(c_1(c_0(c_0(c_3(c_2(c_0(c_3(z0)))))))))))))))))) -> 1(3(3(2(3(0(2(1(3(1(1(3(1(2(1(0(0(0(z0))))))))))))))))))
   1(c_2(c_1(c_0(c_3(c_1(c_3(c_3(c_2(c_2(c_2(c_2(c_0(c_0(c_3(c_1(c_0(c_1(z0)))))))))))))))))) -> 3(1(2(0(1(3(2(3(2(2(0(0(0(2(3(1(1(1(z0))))))))))))))))))
   1(c_2(c_3(c_3(c_1(c_2(c_2(c_2(c_1(c_0(c_1(c_2(c_0(c_1(c_3(c_2(c_0(c_1(z0)))))))))))))))))) -> 3(3(0(0(2(0(2(2(1(1(1(3(1(2(2(1(2(1(z0))))))))))))))))))
   1(c_0(c_1(c_3(c_2(c_2(c_3(c_2(c_0(c_0(c_1(c_0(c_3(c_2(c_3(c_2(c_3(c_3(z0)))))))))))))))))) -> 1(3(3(1(2(2(0(3(0(0(1(3(0(2(2(3(2(3(z0))))))))))))))))))
   1(c_1(c_1(c_3(c_1(c_3(c_1(c_0(c_3(c_2(c_1(c_3(c_2(c_1(c_0(c_3(c_0(c_3(z0)))))))))))))))))) -> 1(2(2(3(0(1(3(1(1(3(0(0(1(3(1(1(3(3(z0))))))))))))))))))
   1(c_3(c_3(c_0(c_1(c_1(c_3(c_2(c_2(c_1(c_1(c_0(c_3(c_1(c_2(c_1(c_0(c_0(z0)))))))))))))))))) -> 1(3(1(1(0(0(1(1(2(1(3(0(2(3(1(0(2(3(z0))))))))))))))))))
   1(c_1(c_1(c_1(c_0(c_1(c_3(c_2(c_1(c_1(c_2(c_2(c_0(c_2(c_2(c_3(c_0(c_2(z0)))))))))))))))))) -> 1(1(1(2(3(0(2(2(1(1(1(2(3(0(1(2(0(2(z0))))))))))))))))))
   1(c_1(c_3(c_3(c_2(c_1(c_3(c_3(c_2(c_0(c_1(c_3(c_3(c_3(c_0(c_3(c_2(c_1(z0)))))))))))))))))) -> 1(3(1(3(0(3(3(3(1(3(3(2(3(1(2(0(2(1(z0))))))))))))))))))
   1(c_0(c_2(c_3(c_1(c_2(c_3(c_1(c_2(c_3(c_2(c_3(c_2(c_1(c_2(c_2(c_2(c_2(z0)))))))))))))))))) -> 2(3(2(2(3(0(2(1(3(2(2(1(1(1(3(2(2(2(z0))))))))))))))))))
   1(c_3(c_3(c_2(c_2(c_1(c_0(c_3(c_2(c_1(c_1(c_1(c_2(c_3(c_1(c_0(c_1(c_0(z0)))))))))))))))))) -> 2(0(1(2(1(2(1(3(1(1(3(0(3(2(1(3(0(1(z0))))))))))))))))))
   1(c_2(c_3(c_1(c_1(c_0(c_0(c_3(c_3(c_0(c_2(c_1(c_3(c_3(c_0(c_3(c_2(c_3(z0)))))))))))))))))) -> 3(1(3(0(2(3(3(1(3(0(2(1(2(0(0(1(3(3(z0))))))))))))))))))
   2(z0) -> c_2(z0)
   2(c_2(c_2(c_2(c_1(c_1(c_0(c_1(c_1(c_2(c_2(c_0(c_0(c_1(c_2(c_2(c_1(c_1(z0)))))))))))))))))) -> 0(2(1(2(0(2(0(2(2(1(2(2(2(1(1(1(1(1(z0))))))))))))))))))
   2(c_0(c_1(c_3(c_3(c_3(c_3(c_3(c_1(c_1(c_3(c_2(c_0(c_1(c_0(c_0(c_1(c_0(z0)))))))))))))))))) -> 1(3(0(2(1(1(3(0(2(3(0(0(3(1(3(3(1(0(z0))))))))))))))))))
   2(c_3(c_2(c_1(c_0(c_0(c_0(c_2(c_3(c_2(c_3(c_0(c_3(c_0(c_2(c_1(c_1(c_2(z0)))))))))))))))))) -> 2(2(3(0(3(0(2(1(0(2(2(0(1(3(1(3(0(2(z0))))))))))))))))))
   2(c_1(c_2(c_2(c_3(c_2(c_3(c_0(c_1(c_3(c_2(c_1(c_1(c_3(c_3(c_2(c_2(c_2(z0)))))))))))))))))) -> 2(1(1(1(3(2(3(2(2(3(0(2(3(2(1(3(2(2(z0))))))))))))))))))
   2(c_1(c_2(c_2(c_2(c_0(c_2(c_1(c_2(c_3(c_0(c_0(c_3(c_1(c_2(c_2(c_1(c_3(z0)))))))))))))))))) -> 0(2(0(2(1(3(2(2(1(3(2(2(1(3(0(2(1(2(z0))))))))))))))))))
   2(c_0(c_3(c_0(c_3(c_2(c_3(c_2(c_1(c_0(c_1(c_2(c_2(c_0(c_0(c_0(c_1(c_2(z0)))))))))))))))))) -> 0(2(2(1(2(0(1(2(0(3(0(0(2(1(3(0(3(2(z0))))))))))))))))))
   2(c_3(c_0(c_2(c_0(c_3(c_2(c_0(c_2(c_3(c_2(c_1(c_2(c_2(c_2(c_3(c_0(c_3(z0)))))))))))))))))) -> 2(3(2(3(3(0(0(2(2(2(1(3(2(0(2(3(2(0(z0))))))))))))))))))
   2(c_3(c_1(c_0(c_1(c_0(c_1(c_2(c_1(c_0(c_3(c_1(c_0(c_3(c_1(c_2(c_2(c_3(z0)))))))))))))))))) -> 2(1(2(1(1(0(1(0(2(3(0(0(3(3(3(1(1(2(z0))))))))))))))))))
   2(c_1(c_0(c_1(c_1(c_3(c_3(c_0(c_1(c_0(c_1(c_2(c_3(c_3(c_0(c_3(c_2(c_2(z0)))))))))))))))))) -> 0(3(3(1(3(3(0(2(1(1(3(1(0(2(1(2(0(2(z0))))))))))))))))))
   2(c_3(c_1(c_1(c_0(c_3(c_1(c_2(c_1(c_0(c_1(c_3(c_2(c_0(c_1(c_2(c_1(c_1(z0)))))))))))))))))) -> 2(3(2(0(1(1(1(3(2(1(1(3(0(0(1(1(2(1(z0))))))))))))))))))
   2(c_1(c_2(c_2(c_2(c_1(c_3(c_2(c_0(c_0(c_2(c_3(c_2(c_3(c_3(c_3(c_0(c_3(z0)))))))))))))))))) -> 2(3(3(1(3(2(0(3(2(1(3(0(2(2(2(2(3(0(z0))))))))))))))))))
   2(c_2(c_1(c_2(c_3(c_2(c_0(c_2(c_0(c_3(c_1(c_0(c_1(c_1(c_0(c_1(c_3(c_3(z0)))))))))))))))))) -> 2(2(0(1(2(0(1(2(3(1(0(2(0(1(3(1(3(3(z0))))))))))))))))))
   2(c_1(c_1(c_1(c_0(c_2(c_2(c_2(c_1(c_0(c_2(c_0(c_0(c_2(c_2(c_2(c_2(c_1(z0)))))))))))))))))) -> 2(2(2(2(1(1(2(0(1(0(0(0(2(1(2(2(2(1(z0))))))))))))))))))
   2(c_3(c_2(c_2(c_2(c_3(c_0(c_3(c_1(c_0(c_3(c_2(c_1(c_1(c_2(c_0(c_2(c_3(z0)))))))))))))))))) -> 2(2(1(1(0(1(2(3(3(0(3(3(2(2(2(0(2(3(z0))))))))))))))))))
   2(c_2(c_3(c_1(c_2(c_3(c_0(c_3(c_1(c_1(c_1(c_0(c_1(c_1(c_0(c_1(c_3(c_1(z0)))))))))))))))))) -> 2(3(1(1(2(0(1(3(1(1(0(1(1(3(1(3(0(2(z0))))))))))))))))))
   2(c_2(c_0(c_3(c_1(c_2(c_0(c_3(c_1(c_2(c_1(c_3(c_0(c_1(c_0(c_3(c_0(c_0(z0)))))))))))))))))) -> 2(3(2(2(1(3(0(3(0(1(3(0(0(0(1(1(2(0(z0))))))))))))))))))
   2(c_2(c_3(c_3(c_1(c_3(c_1(c_1(c_0(c_1(c_2(c_2(c_0(c_3(c_2(c_0(c_3(c_3(z0)))))))))))))))))) -> 2(2(3(1(3(2(1(3(3(1(0(0(2(3(3(1(0(2(z0))))))))))))))))))
   2(c_1(c_3(c_3(c_3(c_1(c_2(c_1(c_2(c_1(c_0(c_0(c_3(c_1(c_3(c_2(c_0(c_0(z0)))))))))))))))))) -> 2(1(3(0(1(3(1(0(2(2(0(0(1(3(1(3(2(3(z0))))))))))))))))))
   2(c_2(c_1(c_0(c_1(c_2(c_0(c_0(c_3(c_0(c_2(c_1(c_1(c_2(c_1(c_2(c_1(c_2(z0)))))))))))))))))) -> 2(2(1(0(3(2(1(1(1(0(0(2(0(1(2(2(1(2(z0))))))))))))))))))
   2(c_3(c_3(c_2(c_3(c_1(c_0(c_1(c_1(c_1(c_3(c_1(c_0(c_1(c_0(c_3(c_2(c_0(z0)))))))))))))))))) -> 2(1(0(0(1(2(3(1(1(3(3(3(1(1(3(2(0(0(z0))))))))))))))))))
   2(c_0(c_1(c_0(c_2(c_2(c_2(c_2(c_0(c_3(c_2(c_3(c_1(c_2(c_3(c_0(c_3(c_2(z0)))))))))))))))))) -> 2(0(2(0(2(2(3(0(3(3(1(3(0(1(2(2(2(2(z0))))))))))))))))))
   2(c_1(c_2(c_3(c_3(c_3(c_0(c_2(c_0(c_0(c_2(c_2(c_1(c_0(c_2(c_0(c_2(c_0(z0)))))))))))))))))) -> 0(3(0(2(2(2(1(3(0(0(1(3(0(0(2(2(2(2(z0))))))))))))))))))
   2(c_2(c_0(c_0(c_2(c_1(c_1(c_2(c_1(c_2(c_0(c_1(c_2(c_2(c_2(c_2(c_2(c_2(z0)))))))))))))))))) -> 2(2(2(2(1(1(0(2(1(1(2(2(0(2(0(2(2(2(z0))))))))))))))))))
   2(c_2(c_1(c_1(c_3(c_1(c_0(c_0(c_1(c_2(c_3(c_2(c_3(c_1(c_0(c_1(c_1(c_0(z0)))))))))))))))))) -> 0(1(2(2(3(1(0(2(1(3(2(1(1(3(0(1(1(0(z0))))))))))))))))))
   2(c_3(c_1(c_0(c_2(c_3(c_1(c_0(c_0(c_1(c_0(c_1(c_0(c_1(c_2(c_2(c_1(c_0(z0)))))))))))))))))) -> 2(0(3(1(0(1(0(1(2(0(2(2(1(3(0(0(1(1(z0))))))))))))))))))
   2(c_0(c_0(c_3(c_1(c_2(c_3(c_2(c_0(c_2(c_3(c_0(c_1(c_2(c_2(c_0(c_0(c_2(z0)))))))))))))))))) -> 2(0(2(3(1(3(0(0(3(2(0(1(0(2(0(2(2(2(z0))))))))))))))))))
   2(c_2(c_1(c_1(c_2(c_3(c_1(c_2(c_1(c_3(c_1(c_0(c_2(c_2(c_0(c_3(c_1(c_1(z0)))))))))))))))))) -> 2(2(1(2(3(1(1(3(1(2(2(1(0(0(2(1(3(1(z0))))))))))))))))))
   3(z0) -> c_3(z0)
   3(c_1(c_0(c_0(c_3(c_0(c_3(c_2(c_3(c_2(c_3(c_0(c_1(c_0(c_1(c_1(c_2(c_3(z0)))))))))))))))))) -> 3(0(1(3(2(3(3(1(1(0(2(0(0(3(1(3(0(2(z0))))))))))))))))))
   3(c_0(c_3(c_1(c_0(c_1(c_0(c_3(c_3(c_1(c_0(c_3(c_2(c_3(c_3(c_2(c_0(c_3(z0)))))))))))))))))) -> 1(3(0(2(0(0(3(3(2(1(3(0(3(3(1(3(3(0(z0))))))))))))))))))
   3(c_0(c_1(c_0(c_1(c_2(c_3(c_3(c_1(c_2(c_3(c_2(c_1(c_1(c_1(c_3(c_3(c_0(z0)))))))))))))))))) -> 3(0(1(2(1(3(3(1(3(0(1(3(1(2(0(1(3(2(z0))))))))))))))))))
   3(c_1(c_2(c_3(c_2(c_0(c_2(c_3(c_1(c_1(c_1(c_3(c_3(c_2(c_0(c_0(c_0(c_3(z0)))))))))))))))))) -> 3(1(3(2(1(3(0(2(1(0(0(2(3(1(2(3(3(0(z0))))))))))))))))))
   3(c_2(c_3(c_2(c_2(c_0(c_3(c_3(c_2(c_0(c_1(c_0(c_0(c_2(c_0(c_1(c_1(c_1(z0)))))))))))))))))) -> 3(0(1(3(2(0(3(0(1(2(3(0(2(0(2(2(1(1(z0))))))))))))))))))
   3(c_3(c_1(c_2(c_2(c_2(c_3(c_3(c_3(c_1(c_3(c_0(c_1(c_1(c_1(c_2(c_1(c_0(z0)))))))))))))))))) -> 3(3(3(1(2(3(1(3(0(2(2(1(3(0(2(1(1(1(z0))))))))))))))))))
   3(c_1(c_1(c_0(c_3(c_0(c_1(c_1(c_3(c_2(c_1(c_2(c_3(c_3(c_1(c_3(c_3(c_1(z0)))))))))))))))))) -> 3(1(3(2(1(1(1(3(3(0(3(2(1(3(0(1(3(1(z0))))))))))))))))))
   3(c_3(c_0(c_1(c_0(c_3(c_2(c_0(c_1(c_1(c_1(c_1(c_3(c_1(c_2(c_3(c_3(c_3(z0)))))))))))))))))) -> 3(2(3(1(1(1(0(3(3(0(2(1(3(0(1(3(1(3(z0))))))))))))))))))
   3(c_3(c_1(c_0(c_3(c_2(c_3(c_0(c_3(c_1(c_0(c_2(c_0(c_3(c_0(c_2(c_2(c_0(z0)))))))))))))))))) -> 3(3(3(2(0(3(0(3(0(1(0(0(1(3(0(2(2(2(z0))))))))))))))))))
   3(c_1(c_2(c_0(c_3(c_2(c_2(c_3(c_2(c_0(c_3(c_3(c_2(c_3(c_3(c_1(c_1(c_3(z0)))))))))))))))))) -> 3(2(2(3(1(3(3(2(1(3(3(0(2(0(2(3(1(3(z0))))))))))))))))))
   3(c_2(c_0(c_1(c_2(c_1(c_0(c_3(c_3(c_3(c_3(c_1(c_2(c_1(c_1(c_0(c_1(c_0(z0)))))))))))))))))) -> 3(0(0(2(1(3(2(3(3(1(1(3(1(1(0(2(0(1(z0))))))))))))))))))
Tuples:
   ENCARG(cons_2(z0)) -> c2(2'(encArg(z0)), ENCARG(z0))
   ENCARG(cons_3(z0)) -> c3(3'(encArg(z0)), ENCARG(z0))
   0'(c_2(c_3(c_0(c_1(c_2(c_3(c_2(c_0(c_3(c_1(c_0(c_0(c_0(c_3(c_3(c_0(c_3(z0)))))))))))))))))) -> c9(0'(2(1(3(0(0(3(3(0(1(0(2(2(3(3(0(0(3(z0)))))))))))))))))), 2'(1(3(0(0(3(3(0(1(0(2(2(3(3(0(0(3(z0))))))))))))))))), 1'(3(0(0(3(3(0(1(0(2(2(3(3(0(0(3(z0)))))))))))))))), 3'(0(0(3(3(0(1(0(2(2(3(3(0(0(3(z0))))))))))))))), 0'(0(3(3(0(1(0(2(2(3(3(0(0(3(z0)))))))))))))), 0'(3(3(0(1(0(2(2(3(3(0(0(3(z0))))))))))))), 3'(3(0(1(0(2(2(3(3(0(0(3(z0)))))))))))), 3'(0(1(0(2(2(3(3(0(0(3(z0))))))))))), 0'(1(0(2(2(3(3(0(0(3(z0)))))))))), 1'(0(2(2(3(3(0(0(3(z0))))))))), 0'(2(2(3(3(0(0(3(z0)))))))), 2'(2(3(3(0(0(3(z0))))))), 2'(3(3(0(0(3(z0)))))), 3'(3(0(0(3(z0))))), 3'(0(0(3(z0)))), 0'(0(3(z0))), 0'(3(z0)), 3'(z0))
   0'(c_1(c_0(c_2(c_1(c_1(c_0(c_0(c_1(c_0(c_3(c_1(c_1(c_0(c_2(c_1(c_2(c_3(z0)))))))))))))))))) -> c10(0'(1(2(0(0(2(1(1(0(1(1(1(0(1(3(0(2(3(z0)))))))))))))))))), 1'(2(0(0(2(1(1(0(1(1(1(0(1(3(0(2(3(z0))))))))))))))))), 2'(0(0(2(1(1(0(1(1(1(0(1(3(0(2(3(z0)))))))))))))))), 0'(0(2(1(1(0(1(1(1(0(1(3(0(2(3(z0))))))))))))))), 0'(2(1(1(0(1(1(1(0(1(3(0(2(3(z0)))))))))))))), 2'(1(1(0(1(1(1(0(1(3(0(2(3(z0))))))))))))), 1'(1(0(1(1(1(0(1(3(0(2(3(z0)))))))))))), 1'(0(1(1(1(0(1(3(0(2(3(z0))))))))))), 0'(1(1(1(0(1(3(0(2(3(z0)))))))))), 1'(1(1(0(1(3(0(2(3(z0))))))))), 1'(1(0(1(3(0(2(3(z0)))))))), 1'(0(1(3(0(2(3(z0))))))), 0'(1(3(0(2(3(z0)))))), 1'(3(0(2(3(z0))))), 3'(0(2(3(z0)))), 0'(2(3(z0))), 2'(3(z0)), 3'(z0))
   0'(c_1(c_0(c_3(c_2(c_0(c_0(c_0(c_3(c_3(c_0(c_2(c_2(c_2(c_2(c_1(c_1(c_1(z0)))))))))))))))))) -> c11(0'(0(1(1(3(0(3(0(0(2(2(2(0(2(2(1(3(1(z0)))))))))))))))))), 0'(1(1(3(0(3(0(0(2(2(2(0(2(2(1(3(1(z0))))))))))))))))), 1'(1(3(0(3(0(0(2(2(2(0(2(2(1(3(1(z0)))))))))))))))), 1'(3(0(3(0(0(2(2(2(0(2(2(1(3(1(z0))))))))))))))), 3'(0(3(0(0(2(2(2(0(2(2(1(3(1(z0)))))))))))))), 0'(3(0(0(2(2(2(0(2(2(1(3(1(z0))))))))))))), 3'(0(0(2(2(2(0(2(2(1(3(1(z0)))))))))))), 0'(0(2(2(2(0(2(2(1(3(1(z0))))))))))), 0'(2(2(2(0(2(2(1(3(1(z0)))))))))), 2'(2(2(0(2(2(1(3(1(z0))))))))), 2'(2(0(2(2(1(3(1(z0)))))))), 2'(0(2(2(1(3(1(z0))))))), 0'(2(2(1(3(1(z0)))))), 2'(2(1(3(1(z0))))), 2'(1(3(1(z0)))), 1'(3(1(z0))), 3'(1(z0)), 1'(z0))
   0'(c_0(c_3(c_1(c_0(c_2(c_2(c_0(c_2(c_3(c_1(c_1(c_0(c_1(c_2(c_2(c_0(c_1(z0)))))))))))))))))) -> c12(0'(2(1(1(3(0(0(0(1(0(2(3(1(2(2(0(2(1(z0)))))))))))))))))), 2'(1(1(3(0(0(0(1(0(2(3(1(2(2(0(2(1(z0))))))))))))))))), 1'(1(3(0(0(0(1(0(2(3(1(2(2(0(2(1(z0)))))))))))))))), 1'(3(0(0(0(1(0(2(3(1(2(2(0(2(1(z0))))))))))))))), 3'(0(0(0(1(0(2(3(1(2(2(0(2(1(z0)))))))))))))), 0'(0(0(1(0(2(3(1(2(2(0(2(1(z0))))))))))))), 0'(0(1(0(2(3(1(2(2(0(2(1(z0)))))))))))), 0'(1(0(2(3(1(2(2(0(2(1(z0))))))))))), 1'(0(2(3(1(2(2(0(2(1(z0)))))))))), 0'(2(3(1(2(2(0(2(1(z0))))))))), 2'(3(1(2(2(0(2(1(z0)))))))), 3'(1(2(2(0(2(1(z0))))))), 1'(2(2(0(2(1(z0)))))), 2'(2(0(2(1(z0))))), 2'(0(2(1(z0)))), 0'(2(1(z0))), 2'(1(z0)), 1'(z0))
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   1'(c_3(c_3(c_0(c_1(c_1(c_3(c_2(c_2(c_1(c_1(c_0(c_3(c_1(c_2(c_1(c_0(c_0(z0)))))))))))))))))) -> c46(1'(3(1(1(0(0(1(1(2(1(3(0(2(3(1(0(2(3(z0)))))))))))))))))), 3'(1(1(0(0(1(1(2(1(3(0(2(3(1(0(2(3(z0))))))))))))))))), 1'(1(0(0(1(1(2(1(3(0(2(3(1(0(2(3(z0)))))))))))))))), 1'(0(0(1(1(2(1(3(0(2(3(1(0(2(3(z0))))))))))))))), 0'(0(1(1(2(1(3(0(2(3(1(0(2(3(z0)))))))))))))), 0'(1(1(2(1(3(0(2(3(1(0(2(3(z0))))))))))))), 1'(1(2(1(3(0(2(3(1(0(2(3(z0)))))))))))), 1'(2(1(3(0(2(3(1(0(2(3(z0))))))))))), 2'(1(3(0(2(3(1(0(2(3(z0)))))))))), 1'(3(0(2(3(1(0(2(3(z0))))))))), 3'(0(2(3(1(0(2(3(z0)))))))), 0'(2(3(1(0(2(3(z0))))))), 2'(3(1(0(2(3(z0)))))), 3'(1(0(2(3(z0))))), 1'(0(2(3(z0)))), 0'(2(3(z0))), 2'(3(z0)), 3'(z0))
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   3'(c_1(c_0(c_0(c_3(c_0(c_3(c_2(c_3(c_2(c_3(c_0(c_1(c_0(c_1(c_1(c_2(c_3(z0)))))))))))))))))) -> c81(3'(0(1(3(2(3(3(1(1(0(2(0(0(3(1(3(0(2(z0)))))))))))))))))), 0'(1(3(2(3(3(1(1(0(2(0(0(3(1(3(0(2(z0))))))))))))))))), 1'(3(2(3(3(1(1(0(2(0(0(3(1(3(0(2(z0)))))))))))))))), 3'(2(3(3(1(1(0(2(0(0(3(1(3(0(2(z0))))))))))))))), 2'(3(3(1(1(0(2(0(0(3(1(3(0(2(z0)))))))))))))), 3'(3(1(1(0(2(0(0(3(1(3(0(2(z0))))))))))))), 3'(1(1(0(2(0(0(3(1(3(0(2(z0)))))))))))), 1'(1(0(2(0(0(3(1(3(0(2(z0))))))))))), 1'(0(2(0(0(3(1(3(0(2(z0)))))))))), 0'(2(0(0(3(1(3(0(2(z0))))))))), 2'(0(0(3(1(3(0(2(z0)))))))), 0'(0(3(1(3(0(2(z0))))))), 0'(3(1(3(0(2(z0)))))), 3'(1(3(0(2(z0))))), 1'(3(0(2(z0)))), 3'(0(2(z0))), 0'(2(z0)), 2'(z0))
   3'(c_0(c_3(c_1(c_0(c_1(c_0(c_3(c_3(c_1(c_0(c_3(c_2(c_3(c_3(c_2(c_0(c_3(z0)))))))))))))))))) -> c82(1'(3(0(2(0(0(3(3(2(1(3(0(3(3(1(3(3(0(z0)))))))))))))))))), 3'(0(2(0(0(3(3(2(1(3(0(3(3(1(3(3(0(z0))))))))))))))))), 0'(2(0(0(3(3(2(1(3(0(3(3(1(3(3(0(z0)))))))))))))))), 2'(0(0(3(3(2(1(3(0(3(3(1(3(3(0(z0))))))))))))))), 0'(0(3(3(2(1(3(0(3(3(1(3(3(0(z0)))))))))))))), 0'(3(3(2(1(3(0(3(3(1(3(3(0(z0))))))))))))), 3'(3(2(1(3(0(3(3(1(3(3(0(z0)))))))))))), 3'(2(1(3(0(3(3(1(3(3(0(z0))))))))))), 2'(1(3(0(3(3(1(3(3(0(z0)))))))))), 1'(3(0(3(3(1(3(3(0(z0))))))))), 3'(0(3(3(1(3(3(0(z0)))))))), 0'(3(3(1(3(3(0(z0))))))), 3'(3(1(3(3(0(z0)))))), 3'(1(3(3(0(z0))))), 1'(3(3(0(z0)))), 3'(3(0(z0))), 3'(0(z0)), 0'(z0))
   3'(c_0(c_1(c_0(c_1(c_2(c_3(c_3(c_1(c_2(c_3(c_2(c_1(c_1(c_1(c_3(c_3(c_0(z0)))))))))))))))))) -> c83(3'(0(1(2(1(3(3(1(3(0(1(3(1(2(0(1(3(2(z0)))))))))))))))))), 0'(1(2(1(3(3(1(3(0(1(3(1(2(0(1(3(2(z0))))))))))))))))), 1'(2(1(3(3(1(3(0(1(3(1(2(0(1(3(2(z0)))))))))))))))), 2'(1(3(3(1(3(0(1(3(1(2(0(1(3(2(z0))))))))))))))), 1'(3(3(1(3(0(1(3(1(2(0(1(3(2(z0)))))))))))))), 3'(3(1(3(0(1(3(1(2(0(1(3(2(z0))))))))))))), 3'(1(3(0(1(3(1(2(0(1(3(2(z0)))))))))))), 1'(3(0(1(3(1(2(0(1(3(2(z0))))))))))), 3'(0(1(3(1(2(0(1(3(2(z0)))))))))), 0'(1(3(1(2(0(1(3(2(z0))))))))), 1'(3(1(2(0(1(3(2(z0)))))))), 3'(1(2(0(1(3(2(z0))))))), 1'(2(0(1(3(2(z0)))))), 2'(0(1(3(2(z0))))), 0'(1(3(2(z0)))), 1'(3(2(z0))), 3'(2(z0)), 2'(z0))
   3'(c_1(c_2(c_3(c_2(c_0(c_2(c_3(c_1(c_1(c_1(c_3(c_3(c_2(c_0(c_0(c_0(c_3(z0)))))))))))))))))) -> c84(3'(1(3(2(1(3(0(2(1(0(0(2(3(1(2(3(3(0(z0)))))))))))))))))), 1'(3(2(1(3(0(2(1(0(0(2(3(1(2(3(3(0(z0))))))))))))))))), 3'(2(1(3(0(2(1(0(0(2(3(1(2(3(3(0(z0)))))))))))))))), 2'(1(3(0(2(1(0(0(2(3(1(2(3(3(0(z0))))))))))))))), 1'(3(0(2(1(0(0(2(3(1(2(3(3(0(z0)))))))))))))), 3'(0(2(1(0(0(2(3(1(2(3(3(0(z0))))))))))))), 0'(2(1(0(0(2(3(1(2(3(3(0(z0)))))))))))), 2'(1(0(0(2(3(1(2(3(3(0(z0))))))))))), 1'(0(0(2(3(1(2(3(3(0(z0)))))))))), 0'(0(2(3(1(2(3(3(0(z0))))))))), 0'(2(3(1(2(3(3(0(z0)))))))), 2'(3(1(2(3(3(0(z0))))))), 3'(1(2(3(3(0(z0)))))), 1'(2(3(3(0(z0))))), 2'(3(3(0(z0)))), 3'(3(0(z0))), 3'(0(z0)), 0'(z0))
   3'(c_2(c_3(c_2(c_2(c_0(c_3(c_3(c_2(c_0(c_1(c_0(c_0(c_2(c_0(c_1(c_1(c_1(z0)))))))))))))))))) -> c85(3'(0(1(3(2(0(3(0(1(2(3(0(2(0(2(2(1(1(z0)))))))))))))))))), 0'(1(3(2(0(3(0(1(2(3(0(2(0(2(2(1(1(z0))))))))))))))))), 1'(3(2(0(3(0(1(2(3(0(2(0(2(2(1(1(z0)))))))))))))))), 3'(2(0(3(0(1(2(3(0(2(0(2(2(1(1(z0))))))))))))))), 2'(0(3(0(1(2(3(0(2(0(2(2(1(1(z0)))))))))))))), 0'(3(0(1(2(3(0(2(0(2(2(1(1(z0))))))))))))), 3'(0(1(2(3(0(2(0(2(2(1(1(z0)))))))))))), 0'(1(2(3(0(2(0(2(2(1(1(z0))))))))))), 1'(2(3(0(2(0(2(2(1(1(z0)))))))))), 2'(3(0(2(0(2(2(1(1(z0))))))))), 3'(0(2(0(2(2(1(1(z0)))))))), 0'(2(0(2(2(1(1(z0))))))), 2'(0(2(2(1(1(z0)))))), 0'(2(2(1(1(z0))))), 2'(2(1(1(z0)))), 2'(1(1(z0))), 1'(1(z0)), 1'(z0))
   3'(c_3(c_1(c_2(c_2(c_2(c_3(c_3(c_3(c_1(c_3(c_0(c_1(c_1(c_1(c_2(c_1(c_0(z0)))))))))))))))))) -> c86(3'(3(3(1(2(3(1(3(0(2(2(1(3(0(2(1(1(1(z0)))))))))))))))))), 3'(3(1(2(3(1(3(0(2(2(1(3(0(2(1(1(1(z0))))))))))))))))), 3'(1(2(3(1(3(0(2(2(1(3(0(2(1(1(1(z0)))))))))))))))), 1'(2(3(1(3(0(2(2(1(3(0(2(1(1(1(z0))))))))))))))), 2'(3(1(3(0(2(2(1(3(0(2(1(1(1(z0)))))))))))))), 3'(1(3(0(2(2(1(3(0(2(1(1(1(z0))))))))))))), 1'(3(0(2(2(1(3(0(2(1(1(1(z0)))))))))))), 3'(0(2(2(1(3(0(2(1(1(1(z0))))))))))), 0'(2(2(1(3(0(2(1(1(1(z0)))))))))), 2'(2(1(3(0(2(1(1(1(z0))))))))), 2'(1(3(0(2(1(1(1(z0)))))))), 1'(3(0(2(1(1(1(z0))))))), 3'(0(2(1(1(1(z0)))))), 0'(2(1(1(1(z0))))), 2'(1(1(1(z0)))), 1'(1(1(z0))), 1'(1(z0)), 1'(z0))
   3'(c_1(c_1(c_0(c_3(c_0(c_1(c_1(c_3(c_2(c_1(c_2(c_3(c_3(c_1(c_3(c_3(c_1(z0)))))))))))))))))) -> c87(3'(1(3(2(1(1(1(3(3(0(3(2(1(3(0(1(3(1(z0)))))))))))))))))), 1'(3(2(1(1(1(3(3(0(3(2(1(3(0(1(3(1(z0))))))))))))))))), 3'(2(1(1(1(3(3(0(3(2(1(3(0(1(3(1(z0)))))))))))))))), 2'(1(1(1(3(3(0(3(2(1(3(0(1(3(1(z0))))))))))))))), 1'(1(1(3(3(0(3(2(1(3(0(1(3(1(z0)))))))))))))), 1'(1(3(3(0(3(2(1(3(0(1(3(1(z0))))))))))))), 1'(3(3(0(3(2(1(3(0(1(3(1(z0)))))))))))), 3'(3(0(3(2(1(3(0(1(3(1(z0))))))))))), 3'(0(3(2(1(3(0(1(3(1(z0)))))))))), 0'(3(2(1(3(0(1(3(1(z0))))))))), 3'(2(1(3(0(1(3(1(z0)))))))), 2'(1(3(0(1(3(1(z0))))))), 1'(3(0(1(3(1(z0)))))), 3'(0(1(3(1(z0))))), 0'(1(3(1(z0)))), 1'(3(1(z0))), 3'(1(z0)), 1'(z0))
   3'(c_3(c_0(c_1(c_0(c_3(c_2(c_0(c_1(c_1(c_1(c_1(c_3(c_1(c_2(c_3(c_3(c_3(z0)))))))))))))))))) -> c88(3'(2(3(1(1(1(0(3(3(0(2(1(3(0(1(3(1(3(z0)))))))))))))))))), 2'(3(1(1(1(0(3(3(0(2(1(3(0(1(3(1(3(z0))))))))))))))))), 3'(1(1(1(0(3(3(0(2(1(3(0(1(3(1(3(z0)))))))))))))))), 1'(1(1(0(3(3(0(2(1(3(0(1(3(1(3(z0))))))))))))))), 1'(1(0(3(3(0(2(1(3(0(1(3(1(3(z0)))))))))))))), 1'(0(3(3(0(2(1(3(0(1(3(1(3(z0))))))))))))), 0'(3(3(0(2(1(3(0(1(3(1(3(z0)))))))))))), 3'(3(0(2(1(3(0(1(3(1(3(z0))))))))))), 3'(0(2(1(3(0(1(3(1(3(z0)))))))))), 0'(2(1(3(0(1(3(1(3(z0))))))))), 2'(1(3(0(1(3(1(3(z0)))))))), 1'(3(0(1(3(1(3(z0))))))), 3'(0(1(3(1(3(z0)))))), 0'(1(3(1(3(z0))))), 1'(3(1(3(z0)))), 3'(1(3(z0))), 1'(3(z0)), 3'(z0))
   3'(c_3(c_1(c_0(c_3(c_2(c_3(c_0(c_3(c_1(c_0(c_2(c_0(c_3(c_0(c_2(c_2(c_0(z0)))))))))))))))))) -> c89(3'(3(3(2(0(3(0(3(0(1(0(0(1(3(0(2(2(2(z0)))))))))))))))))), 3'(3(2(0(3(0(3(0(1(0(0(1(3(0(2(2(2(z0))))))))))))))))), 3'(2(0(3(0(3(0(1(0(0(1(3(0(2(2(2(z0)))))))))))))))), 2'(0(3(0(3(0(1(0(0(1(3(0(2(2(2(z0))))))))))))))), 0'(3(0(3(0(1(0(0(1(3(0(2(2(2(z0)))))))))))))), 3'(0(3(0(1(0(0(1(3(0(2(2(2(z0))))))))))))), 0'(3(0(1(0(0(1(3(0(2(2(2(z0)))))))))))), 3'(0(1(0(0(1(3(0(2(2(2(z0))))))))))), 0'(1(0(0(1(3(0(2(2(2(z0)))))))))), 1'(0(0(1(3(0(2(2(2(z0))))))))), 0'(0(1(3(0(2(2(2(z0)))))))), 0'(1(3(0(2(2(2(z0))))))), 1'(3(0(2(2(2(z0)))))), 3'(0(2(2(2(z0))))), 0'(2(2(2(z0)))), 2'(2(2(z0))), 2'(2(z0)), 2'(z0))
   3'(c_1(c_2(c_0(c_3(c_2(c_2(c_3(c_2(c_0(c_3(c_3(c_2(c_3(c_3(c_1(c_1(c_3(z0)))))))))))))))))) -> c90(3'(2(2(3(1(3(3(2(1(3(3(0(2(0(2(3(1(3(z0)))))))))))))))))), 2'(2(3(1(3(3(2(1(3(3(0(2(0(2(3(1(3(z0))))))))))))))))), 2'(3(1(3(3(2(1(3(3(0(2(0(2(3(1(3(z0)))))))))))))))), 3'(1(3(3(2(1(3(3(0(2(0(2(3(1(3(z0))))))))))))))), 1'(3(3(2(1(3(3(0(2(0(2(3(1(3(z0)))))))))))))), 3'(3(2(1(3(3(0(2(0(2(3(1(3(z0))))))))))))), 3'(2(1(3(3(0(2(0(2(3(1(3(z0)))))))))))), 2'(1(3(3(0(2(0(2(3(1(3(z0))))))))))), 1'(3(3(0(2(0(2(3(1(3(z0)))))))))), 3'(3(0(2(0(2(3(1(3(z0))))))))), 3'(0(2(0(2(3(1(3(z0)))))))), 0'(2(0(2(3(1(3(z0))))))), 2'(0(2(3(1(3(z0)))))), 0'(2(3(1(3(z0))))), 2'(3(1(3(z0)))), 3'(1(3(z0))), 1'(3(z0)), 3'(z0))
   3'(c_2(c_0(c_1(c_2(c_1(c_0(c_3(c_3(c_3(c_3(c_1(c_2(c_1(c_1(c_0(c_1(c_0(z0)))))))))))))))))) -> c91(3'(0(0(2(1(3(2(3(3(1(1(3(1(1(0(2(0(1(z0)))))))))))))))))), 0'(0(2(1(3(2(3(3(1(1(3(1(1(0(2(0(1(z0))))))))))))))))), 0'(2(1(3(2(3(3(1(1(3(1(1(0(2(0(1(z0)))))))))))))))), 2'(1(3(2(3(3(1(1(3(1(1(0(2(0(1(z0))))))))))))))), 1'(3(2(3(3(1(1(3(1(1(0(2(0(1(z0)))))))))))))), 3'(2(3(3(1(1(3(1(1(0(2(0(1(z0))))))))))))), 2'(3(3(1(1(3(1(1(0(2(0(1(z0)))))))))))), 3'(3(1(1(3(1(1(0(2(0(1(z0))))))))))), 3'(1(1(3(1(1(0(2(0(1(z0)))))))))), 1'(1(3(1(1(0(2(0(1(z0))))))))), 1'(3(1(1(0(2(0(1(z0)))))))), 3'(1(1(0(2(0(1(z0))))))), 1'(1(0(2(0(1(z0)))))), 1'(0(2(0(1(z0))))), 0'(2(0(1(z0)))), 2'(0(1(z0))), 0'(1(z0)), 1'(z0))
   ENCODE_0(z0) -> c8(0'(encArg(z0)))
   ENCODE_2(z0) -> c8(2'(encArg(z0)))
   ENCODE_1(z0) -> c8(1'(encArg(z0)))
   ENCODE_3(z0) -> c8(3'(encArg(z0)))
   ENCARG(cons_0(cons_0(z0))) -> c(0'(0(encArg(z0))), ENCARG(cons_0(z0)))
   ENCARG(cons_0(cons_1(z0))) -> c(0'(1(encArg(z0))), ENCARG(cons_1(z0)))
   ENCARG(cons_0(cons_2(z0))) -> c(0'(2(encArg(z0))), ENCARG(cons_2(z0)))
   ENCARG(cons_0(cons_3(z0))) -> c(0'(3(encArg(z0))), ENCARG(cons_3(z0)))
   ENCARG(cons_1(cons_0(z0))) -> c1(1'(0(encArg(z0))), ENCARG(cons_0(z0)))
   ENCARG(cons_1(cons_1(z0))) -> c1(1'(1(encArg(z0))), ENCARG(cons_1(z0)))
   ENCARG(cons_1(cons_2(z0))) -> c1(1'(2(encArg(z0))), ENCARG(cons_2(z0)))
   ENCARG(cons_1(cons_3(z0))) -> c1(1'(3(encArg(z0))), ENCARG(cons_3(z0)))
S tuples:
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   0'(c_2(c_1(c_0(c_3(c_0(c_3(c_0(c_3(c_2(c_0(c_1(c_0(c_1(c_2(c_2(c_1(c_1(z0)))))))))))))))))) -> c15(0'(2(3(0(3(2(2(1(2(1(1(0(0(3(0(0(1(1(z0)))))))))))))))))), 2'(3(0(3(2(2(1(2(1(1(0(0(3(0(0(1(1(z0))))))))))))))))), 3'(0(3(2(2(1(2(1(1(0(0(3(0(0(1(1(z0)))))))))))))))), 0'(3(2(2(1(2(1(1(0(0(3(0(0(1(1(z0))))))))))))))), 3'(2(2(1(2(1(1(0(0(3(0(0(1(1(z0)))))))))))))), 2'(2(1(2(1(1(0(0(3(0(0(1(1(z0))))))))))))), 2'(1(2(1(1(0(0(3(0(0(1(1(z0)))))))))))), 1'(2(1(1(0(0(3(0(0(1(1(z0))))))))))), 2'(1(1(0(0(3(0(0(1(1(z0)))))))))), 1'(1(0(0(3(0(0(1(1(z0))))))))), 1'(0(0(3(0(0(1(1(z0)))))))), 0'(0(3(0(0(1(1(z0))))))), 0'(3(0(0(1(1(z0)))))), 3'(0(0(1(1(z0))))), 0'(0(1(1(z0)))), 0'(1(1(z0))), 1'(1(z0)), 1'(z0))
   0'(c_0(c_2(c_2(c_1(c_3(c_2(c_2(c_2(c_1(c_0(c_2(c_2(c_0(c_2(c_2(c_0(c_0(z0)))))))))))))))))) -> c16(0'(2(2(2(2(1(3(0(0(2(1(0(2(2(2(2(0(0(z0)))))))))))))))))), 2'(2(2(2(1(3(0(0(2(1(0(2(2(2(2(0(0(z0))))))))))))))))), 2'(2(2(1(3(0(0(2(1(0(2(2(2(2(0(0(z0)))))))))))))))), 2'(2(1(3(0(0(2(1(0(2(2(2(2(0(0(z0))))))))))))))), 2'(1(3(0(0(2(1(0(2(2(2(2(0(0(z0)))))))))))))), 1'(3(0(0(2(1(0(2(2(2(2(0(0(z0))))))))))))), 3'(0(0(2(1(0(2(2(2(2(0(0(z0)))))))))))), 0'(0(2(1(0(2(2(2(2(0(0(z0))))))))))), 0'(2(1(0(2(2(2(2(0(0(z0)))))))))), 2'(1(0(2(2(2(2(0(0(z0))))))))), 1'(0(2(2(2(2(0(0(z0)))))))), 0'(2(2(2(2(0(0(z0))))))), 2'(2(2(2(0(0(z0)))))), 2'(2(2(0(0(z0))))), 2'(2(0(0(z0)))), 2'(0(0(z0))), 0'(0(z0)), 0'(z0))
   0'(c_3(c_1(c_1(c_2(c_3(c_0(c_3(c_0(c_1(c_0(c_1(c_2(c_2(c_1(c_0(c_2(c_2(z0)))))))))))))))))) -> c17(0'(0(1(3(0(0(2(2(2(3(2(1(1(1(1(0(3(2(z0)))))))))))))))))), 0'(1(3(0(0(2(2(2(3(2(1(1(1(1(0(3(2(z0))))))))))))))))), 1'(3(0(0(2(2(2(3(2(1(1(1(1(0(3(2(z0)))))))))))))))), 3'(0(0(2(2(2(3(2(1(1(1(1(0(3(2(z0))))))))))))))), 0'(0(2(2(2(3(2(1(1(1(1(0(3(2(z0)))))))))))))), 0'(2(2(2(3(2(1(1(1(1(0(3(2(z0))))))))))))), 2'(2(2(3(2(1(1(1(1(0(3(2(z0)))))))))))), 2'(2(3(2(1(1(1(1(0(3(2(z0))))))))))), 2'(3(2(1(1(1(1(0(3(2(z0)))))))))), 3'(2(1(1(1(1(0(3(2(z0))))))))), 2'(1(1(1(1(0(3(2(z0)))))))), 1'(1(1(1(0(3(2(z0))))))), 1'(1(1(0(3(2(z0)))))), 1'(1(0(3(2(z0))))), 1'(0(3(2(z0)))), 0'(3(2(z0))), 3'(2(z0)), 2'(z0))
   0'(c_1(c_1(c_1(c_1(c_3(c_1(c_1(c_0(c_1(c_3(c_1(c_0(c_2(c_3(c_3(c_3(c_2(z0)))))))))))))))))) -> c18(0'(2(0(1(3(1(1(3(1(0(1(3(2(1(3(1(1(3(z0)))))))))))))))))), 2'(0(1(3(1(1(3(1(0(1(3(2(1(3(1(1(3(z0))))))))))))))))), 0'(1(3(1(1(3(1(0(1(3(2(1(3(1(1(3(z0)))))))))))))))), 1'(3(1(1(3(1(0(1(3(2(1(3(1(1(3(z0))))))))))))))), 3'(1(1(3(1(0(1(3(2(1(3(1(1(3(z0)))))))))))))), 1'(1(3(1(0(1(3(2(1(3(1(1(3(z0))))))))))))), 1'(3(1(0(1(3(2(1(3(1(1(3(z0)))))))))))), 3'(1(0(1(3(2(1(3(1(1(3(z0))))))))))), 1'(0(1(3(2(1(3(1(1(3(z0)))))))))), 0'(1(3(2(1(3(1(1(3(z0))))))))), 1'(3(2(1(3(1(1(3(z0)))))))), 3'(2(1(3(1(1(3(z0))))))), 2'(1(3(1(1(3(z0)))))), 1'(3(1(1(3(z0))))), 3'(1(1(3(z0)))), 1'(1(3(z0))), 1'(3(z0)), 3'(z0))
   0'(c_3(c_0(c_1(c_0(c_3(c_0(c_1(c_1(c_1(c_2(c_0(c_0(c_0(c_3(c_2(c_1(c_0(z0)))))))))))))))))) -> c19(0'(0(2(2(1(3(0(0(1(3(0(1(0(1(0(0(1(3(z0)))))))))))))))))), 0'(2(2(1(3(0(0(1(3(0(1(0(1(0(0(1(3(z0))))))))))))))))), 2'(2(1(3(0(0(1(3(0(1(0(1(0(0(1(3(z0)))))))))))))))), 2'(1(3(0(0(1(3(0(1(0(1(0(0(1(3(z0))))))))))))))), 1'(3(0(0(1(3(0(1(0(1(0(0(1(3(z0)))))))))))))), 3'(0(0(1(3(0(1(0(1(0(0(1(3(z0))))))))))))), 0'(0(1(3(0(1(0(1(0(0(1(3(z0)))))))))))), 0'(1(3(0(1(0(1(0(0(1(3(z0))))))))))), 1'(3(0(1(0(1(0(0(1(3(z0)))))))))), 3'(0(1(0(1(0(0(1(3(z0))))))))), 0'(1(0(1(0(0(1(3(z0)))))))), 1'(0(1(0(0(1(3(z0))))))), 0'(1(0(0(1(3(z0)))))), 1'(0(0(1(3(z0))))), 0'(0(1(3(z0)))), 0'(1(3(z0))), 1'(3(z0)), 3'(z0))
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   3'(c_1(c_0(c_0(c_3(c_0(c_3(c_2(c_3(c_2(c_3(c_0(c_1(c_0(c_1(c_1(c_2(c_3(z0)))))))))))))))))) -> c81(3'(0(1(3(2(3(3(1(1(0(2(0(0(3(1(3(0(2(z0)))))))))))))))))), 0'(1(3(2(3(3(1(1(0(2(0(0(3(1(3(0(2(z0))))))))))))))))), 1'(3(2(3(3(1(1(0(2(0(0(3(1(3(0(2(z0)))))))))))))))), 3'(2(3(3(1(1(0(2(0(0(3(1(3(0(2(z0))))))))))))))), 2'(3(3(1(1(0(2(0(0(3(1(3(0(2(z0)))))))))))))), 3'(3(1(1(0(2(0(0(3(1(3(0(2(z0))))))))))))), 3'(1(1(0(2(0(0(3(1(3(0(2(z0)))))))))))), 1'(1(0(2(0(0(3(1(3(0(2(z0))))))))))), 1'(0(2(0(0(3(1(3(0(2(z0)))))))))), 0'(2(0(0(3(1(3(0(2(z0))))))))), 2'(0(0(3(1(3(0(2(z0)))))))), 0'(0(3(1(3(0(2(z0))))))), 0'(3(1(3(0(2(z0)))))), 3'(1(3(0(2(z0))))), 1'(3(0(2(z0)))), 3'(0(2(z0))), 0'(2(z0)), 2'(z0))
   3'(c_0(c_3(c_1(c_0(c_1(c_0(c_3(c_3(c_1(c_0(c_3(c_2(c_3(c_3(c_2(c_0(c_3(z0)))))))))))))))))) -> c82(1'(3(0(2(0(0(3(3(2(1(3(0(3(3(1(3(3(0(z0)))))))))))))))))), 3'(0(2(0(0(3(3(2(1(3(0(3(3(1(3(3(0(z0))))))))))))))))), 0'(2(0(0(3(3(2(1(3(0(3(3(1(3(3(0(z0)))))))))))))))), 2'(0(0(3(3(2(1(3(0(3(3(1(3(3(0(z0))))))))))))))), 0'(0(3(3(2(1(3(0(3(3(1(3(3(0(z0)))))))))))))), 0'(3(3(2(1(3(0(3(3(1(3(3(0(z0))))))))))))), 3'(3(2(1(3(0(3(3(1(3(3(0(z0)))))))))))), 3'(2(1(3(0(3(3(1(3(3(0(z0))))))))))), 2'(1(3(0(3(3(1(3(3(0(z0)))))))))), 1'(3(0(3(3(1(3(3(0(z0))))))))), 3'(0(3(3(1(3(3(0(z0)))))))), 0'(3(3(1(3(3(0(z0))))))), 3'(3(1(3(3(0(z0)))))), 3'(1(3(3(0(z0))))), 1'(3(3(0(z0)))), 3'(3(0(z0))), 3'(0(z0)), 0'(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_2_1, ENCODE_1_1, ENCODE_3_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, c21_18, c22_18, c23_18, c24_18, c25_18, c26_18, c27_18, c28_18, c29_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, c43_18, c44_18, c45_18, c46_18, c47_18, c48_18, c49_18, c50_18, c51_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_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, c81_18, c82_18, c83_18, c84_18, c85_18, c86_18, c87_18, c88_18, c89_18, c90_18, c91_18, c8_1, c_2, c1_2


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

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(52)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(cons_0(z0)) -> 0(encArg(z0))
   encArg(cons_1(z0)) -> 1(encArg(z0))
   encArg(cons_2(z0)) -> 2(encArg(z0))
   encArg(cons_3(z0)) -> 3(encArg(z0))
   0(z0) -> c_0(z0)
   0(c_2(c_3(c_0(c_1(c_2(c_3(c_2(c_0(c_3(c_1(c_0(c_0(c_0(c_3(c_3(c_0(c_3(z0)))))))))))))))))) -> 0(2(1(3(0(0(3(3(0(1(0(2(2(3(3(0(0(3(z0))))))))))))))))))
   0(c_1(c_0(c_2(c_1(c_1(c_0(c_0(c_1(c_0(c_3(c_1(c_1(c_0(c_2(c_1(c_2(c_3(z0)))))))))))))))))) -> 0(1(2(0(0(2(1(1(0(1(1(1(0(1(3(0(2(3(z0))))))))))))))))))
   0(c_1(c_0(c_3(c_2(c_0(c_0(c_0(c_3(c_3(c_0(c_2(c_2(c_2(c_2(c_1(c_1(c_1(z0)))))))))))))))))) -> 0(0(1(1(3(0(3(0(0(2(2(2(0(2(2(1(3(1(z0))))))))))))))))))
   0(c_0(c_3(c_1(c_0(c_2(c_2(c_0(c_2(c_3(c_1(c_1(c_0(c_1(c_2(c_2(c_0(c_1(z0)))))))))))))))))) -> 0(2(1(1(3(0(0(0(1(0(2(3(1(2(2(0(2(1(z0))))))))))))))))))
   0(c_3(c_2(c_0(c_3(c_1(c_0(c_1(c_0(c_3(c_0(c_3(c_0(c_0(c_3(c_0(c_0(c_0(z0)))))))))))))))))) -> 0(3(0(0(0(0(1(2(0(3(3(0(0(3(0(1(3(0(z0))))))))))))))))))
   0(c_1(c_2(c_3(c_2(c_1(c_0(c_1(c_2(c_2(c_0(c_0(c_1(c_0(c_3(c_1(c_0(c_1(z0)))))))))))))))))) -> 0(2(1(1(1(0(2(2(0(0(1(1(0(3(0(1(3(2(z0))))))))))))))))))
   0(c_2(c_1(c_0(c_3(c_0(c_3(c_0(c_3(c_2(c_0(c_1(c_0(c_1(c_2(c_2(c_1(c_1(z0)))))))))))))))))) -> 0(2(3(0(3(2(2(1(2(1(1(0(0(3(0(0(1(1(z0))))))))))))))))))
   0(c_0(c_2(c_2(c_1(c_3(c_2(c_2(c_2(c_1(c_0(c_2(c_2(c_0(c_2(c_2(c_0(c_0(z0)))))))))))))))))) -> 0(2(2(2(2(1(3(0(0(2(1(0(2(2(2(2(0(0(z0))))))))))))))))))
   0(c_3(c_1(c_1(c_2(c_3(c_0(c_3(c_0(c_1(c_0(c_1(c_2(c_2(c_1(c_0(c_2(c_2(z0)))))))))))))))))) -> 0(0(1(3(0(0(2(2(2(3(2(1(1(1(1(0(3(2(z0))))))))))))))))))
   0(c_1(c_1(c_1(c_1(c_3(c_1(c_1(c_0(c_1(c_3(c_1(c_0(c_2(c_3(c_3(c_3(c_2(z0)))))))))))))))))) -> 0(2(0(1(3(1(1(3(1(0(1(3(2(1(3(1(1(3(z0))))))))))))))))))
   0(c_3(c_0(c_1(c_0(c_3(c_0(c_1(c_1(c_1(c_2(c_0(c_0(c_0(c_3(c_2(c_1(c_0(z0)))))))))))))))))) -> 0(0(2(2(1(3(0(0(1(3(0(1(0(1(0(0(1(3(z0))))))))))))))))))
   1(z0) -> c_1(z0)
   1(c_0(c_1(c_0(c_2(c_0(c_2(c_3(c_1(c_1(c_2(c_2(c_0(c_0(c_3(c_0(c_3(c_2(z0)))))))))))))))))) -> 0(0(0(1(1(3(1(3(2(0(0(2(2(1(3(0(2(2(z0))))))))))))))))))
   1(c_2(c_0(c_0(c_2(c_1(c_3(c_2(c_2(c_3(c_2(c_2(c_0(c_3(c_2(c_3(c_2(c_2(z0)))))))))))))))))) -> 1(2(0(3(2(2(2(2(3(0(0(2(2(2(3(1(3(2(z0))))))))))))))))))
   1(c_0(c_2(c_3(c_3(c_3(c_1(c_0(c_2(c_0(c_1(c_2(c_2(c_3(c_2(c_1(c_0(c_1(z0)))))))))))))))))) -> 2(3(2(1(0(1(3(1(3(0(2(3(0(2(0(1(2(1(z0))))))))))))))))))
   1(c_1(c_1(c_2(c_1(c_1(c_1(c_2(c_1(c_3(c_1(c_0(c_1(c_2(c_1(c_2(c_3(c_1(z0)))))))))))))))))) -> 1(1(1(1(1(1(3(0(2(2(1(1(1(2(3(1(2(1(z0))))))))))))))))))
   1(c_1(c_0(c_3(c_1(c_0(c_2(c_3(c_1(c_1(c_0(c_3(c_3(c_0(c_3(c_1(c_1(c_1(z0)))))))))))))))))) -> 1(1(3(1(3(2(3(0(1(0(3(0(1(3(1(0(1(1(z0))))))))))))))))))
   1(c_3(c_2(c_2(c_1(c_0(c_1(c_2(c_1(c_0(c_3(c_1(c_0(c_3(c_2(c_3(c_0(c_3(z0)))))))))))))))))) -> 3(1(3(2(1(1(0(0(2(0(0(3(1(3(2(2(1(3(z0))))))))))))))))))
   1(c_2(c_1(c_2(c_1(c_2(c_0(c_1(c_0(c_1(c_3(c_1(c_0(c_0(c_0(c_1(c_3(c_3(z0)))))))))))))))))) -> 1(1(2(2(1(0(1(3(0(1(1(3(0(2(1(3(0(0(z0))))))))))))))))))
   1(c_2(c_0(c_1(c_2(c_1(c_0(c_2(c_0(c_0(c_3(c_1(c_0(c_2(c_0(c_3(c_2(c_2(z0)))))))))))))))))) -> 1(1(0(0(0(2(1(0(2(0(3(2(2(1(0(2(3(2(z0))))))))))))))))))
   1(c_3(c_1(c_1(c_0(c_1(c_2(c_1(c_1(c_1(c_0(c_3(c_1(c_1(c_0(c_2(c_3(c_1(z0)))))))))))))))))) -> 1(1(3(2(1(3(1(1(0(0(1(3(2(1(0(1(1(1(z0))))))))))))))))))
   1(c_3(c_1(c_3(c_2(c_0(c_1(c_3(c_1(c_1(c_3(c_2(c_3(c_3(c_3(c_3(c_0(c_1(z0)))))))))))))))))) -> 1(3(3(3(1(2(3(1(3(0(2(1(1(3(0(3(3(1(z0))))))))))))))))))
   1(c_0(c_0(c_0(c_1(c_2(c_3(c_3(c_2(c_2(c_1(c_0(c_2(c_3(c_3(c_2(c_0(c_3(z0)))))))))))))))))) -> 3(0(2(1(1(3(3(1(0(0(2(0(2(2(3(2(0(3(z0))))))))))))))))))
   1(c_1(c_0(c_0(c_1(c_2(c_1(c_2(c_2(c_0(c_3(c_1(c_2(c_3(c_2(c_0(c_0(c_3(z0)))))))))))))))))) -> 1(2(2(0(2(1(0(2(1(0(0(2(3(0(1(1(3(3(z0))))))))))))))))))
   1(c_2(c_0(c_2(c_0(c_0(c_0(c_3(c_0(c_1(c_0(c_1(c_1(c_0(c_3(c_1(c_0(c_3(z0)))))))))))))))))) -> 1(3(0(3(1(1(0(1(1(0(0(0(2(2(3(0(0(0(z0))))))))))))))))))
   1(c_1(c_0(c_3(c_1(c_0(c_3(c_3(c_3(c_1(c_1(c_2(c_2(c_2(c_2(c_0(c_1(c_2(z0)))))))))))))))))) -> 2(1(1(0(0(1(1(2(3(3(3(0(1(2(3(2(1(2(z0))))))))))))))))))
   1(c_3(c_3(c_0(c_0(c_3(c_3(c_1(c_0(c_0(c_2(c_3(c_3(c_1(c_3(c_2(c_3(c_1(z0)))))))))))))))))) -> 1(3(0(0(1(3(0(1(3(3(2(2(3(3(3(3(0(1(z0))))))))))))))))))
   1(c_2(c_3(c_3(c_2(c_1(c_0(c_3(c_2(c_2(c_1(c_0(c_3(c_1(c_0(c_0(c_0(c_0(z0)))))))))))))))))) -> 0(3(0(1(2(1(3(0(1(0(2(1(2(3(3(0(2(0(z0))))))))))))))))))
   1(c_0(c_3(c_0(c_3(c_1(c_0(c_3(c_3(c_1(c_2(c_1(c_3(c_2(c_0(c_2(c_1(c_0(z0)))))))))))))))))) -> 2(2(1(3(0(0(1(3(1(0(2(0(0(3(3(3(1(1(z0))))))))))))))))))
   1(c_2(c_3(c_0(c_3(c_2(c_0(c_2(c_0(c_2(c_0(c_3(c_2(c_0(c_2(c_2(c_0(c_0(z0)))))))))))))))))) -> 1(2(2(2(0(3(3(0(0(2(0(0(0(2(2(2(3(0(z0))))))))))))))))))
   1(c_1(c_3(c_2(c_0(c_2(c_3(c_1(c_0(c_1(c_0(c_2(c_3(c_3(c_2(c_2(c_0(c_0(z0)))))))))))))))))) -> 2(0(2(3(2(0(2(0(1(2(1(3(0(1(3(0(1(3(z0))))))))))))))))))
   1(c_0(c_3(c_3(c_1(c_0(c_3(c_3(c_3(c_1(c_1(c_3(c_2(c_0(c_0(c_1(c_3(c_1(z0)))))))))))))))))) -> 1(3(3(0(1(3(3(0(1(3(3(0(1(3(2(1(0(1(z0))))))))))))))))))
   1(c_2(c_1(c_3(c_2(c_3(c_3(c_1(c_1(c_1(c_0(c_1(c_0(c_0(c_3(c_2(c_0(c_3(z0)))))))))))))))))) -> 1(3(3(2(3(0(2(1(3(1(1(3(1(2(1(0(0(0(z0))))))))))))))))))
   1(c_2(c_1(c_0(c_3(c_1(c_3(c_3(c_2(c_2(c_2(c_2(c_0(c_0(c_3(c_1(c_0(c_1(z0)))))))))))))))))) -> 3(1(2(0(1(3(2(3(2(2(0(0(0(2(3(1(1(1(z0))))))))))))))))))
   1(c_2(c_3(c_3(c_1(c_2(c_2(c_2(c_1(c_0(c_1(c_2(c_0(c_1(c_3(c_2(c_0(c_1(z0)))))))))))))))))) -> 3(3(0(0(2(0(2(2(1(1(1(3(1(2(2(1(2(1(z0))))))))))))))))))
   1(c_0(c_1(c_3(c_2(c_2(c_3(c_2(c_0(c_0(c_1(c_0(c_3(c_2(c_3(c_2(c_3(c_3(z0)))))))))))))))))) -> 1(3(3(1(2(2(0(3(0(0(1(3(0(2(2(3(2(3(z0))))))))))))))))))
   1(c_1(c_1(c_3(c_1(c_3(c_1(c_0(c_3(c_2(c_1(c_3(c_2(c_1(c_0(c_3(c_0(c_3(z0)))))))))))))))))) -> 1(2(2(3(0(1(3(1(1(3(0(0(1(3(1(1(3(3(z0))))))))))))))))))
   1(c_3(c_3(c_0(c_1(c_1(c_3(c_2(c_2(c_1(c_1(c_0(c_3(c_1(c_2(c_1(c_0(c_0(z0)))))))))))))))))) -> 1(3(1(1(0(0(1(1(2(1(3(0(2(3(1(0(2(3(z0))))))))))))))))))
   1(c_1(c_1(c_1(c_0(c_1(c_3(c_2(c_1(c_1(c_2(c_2(c_0(c_2(c_2(c_3(c_0(c_2(z0)))))))))))))))))) -> 1(1(1(2(3(0(2(2(1(1(1(2(3(0(1(2(0(2(z0))))))))))))))))))
   1(c_1(c_3(c_3(c_2(c_1(c_3(c_3(c_2(c_0(c_1(c_3(c_3(c_3(c_0(c_3(c_2(c_1(z0)))))))))))))))))) -> 1(3(1(3(0(3(3(3(1(3(3(2(3(1(2(0(2(1(z0))))))))))))))))))
   1(c_0(c_2(c_3(c_1(c_2(c_3(c_1(c_2(c_3(c_2(c_3(c_2(c_1(c_2(c_2(c_2(c_2(z0)))))))))))))))))) -> 2(3(2(2(3(0(2(1(3(2(2(1(1(1(3(2(2(2(z0))))))))))))))))))
   1(c_3(c_3(c_2(c_2(c_1(c_0(c_3(c_2(c_1(c_1(c_1(c_2(c_3(c_1(c_0(c_1(c_0(z0)))))))))))))))))) -> 2(0(1(2(1(2(1(3(1(1(3(0(3(2(1(3(0(1(z0))))))))))))))))))
   1(c_2(c_3(c_1(c_1(c_0(c_0(c_3(c_3(c_0(c_2(c_1(c_3(c_3(c_0(c_3(c_2(c_3(z0)))))))))))))))))) -> 3(1(3(0(2(3(3(1(3(0(2(1(2(0(0(1(3(3(z0))))))))))))))))))
   2(z0) -> c_2(z0)
   2(c_2(c_2(c_2(c_1(c_1(c_0(c_1(c_1(c_2(c_2(c_0(c_0(c_1(c_2(c_2(c_1(c_1(z0)))))))))))))))))) -> 0(2(1(2(0(2(0(2(2(1(2(2(2(1(1(1(1(1(z0))))))))))))))))))
   2(c_0(c_1(c_3(c_3(c_3(c_3(c_3(c_1(c_1(c_3(c_2(c_0(c_1(c_0(c_0(c_1(c_0(z0)))))))))))))))))) -> 1(3(0(2(1(1(3(0(2(3(0(0(3(1(3(3(1(0(z0))))))))))))))))))
   2(c_3(c_2(c_1(c_0(c_0(c_0(c_2(c_3(c_2(c_3(c_0(c_3(c_0(c_2(c_1(c_1(c_2(z0)))))))))))))))))) -> 2(2(3(0(3(0(2(1(0(2(2(0(1(3(1(3(0(2(z0))))))))))))))))))
   2(c_1(c_2(c_2(c_3(c_2(c_3(c_0(c_1(c_3(c_2(c_1(c_1(c_3(c_3(c_2(c_2(c_2(z0)))))))))))))))))) -> 2(1(1(1(3(2(3(2(2(3(0(2(3(2(1(3(2(2(z0))))))))))))))))))
   2(c_1(c_2(c_2(c_2(c_0(c_2(c_1(c_2(c_3(c_0(c_0(c_3(c_1(c_2(c_2(c_1(c_3(z0)))))))))))))))))) -> 0(2(0(2(1(3(2(2(1(3(2(2(1(3(0(2(1(2(z0))))))))))))))))))
   2(c_0(c_3(c_0(c_3(c_2(c_3(c_2(c_1(c_0(c_1(c_2(c_2(c_0(c_0(c_0(c_1(c_2(z0)))))))))))))))))) -> 0(2(2(1(2(0(1(2(0(3(0(0(2(1(3(0(3(2(z0))))))))))))))))))
   2(c_3(c_0(c_2(c_0(c_3(c_2(c_0(c_2(c_3(c_2(c_1(c_2(c_2(c_2(c_3(c_0(c_3(z0)))))))))))))))))) -> 2(3(2(3(3(0(0(2(2(2(1(3(2(0(2(3(2(0(z0))))))))))))))))))
   2(c_3(c_1(c_0(c_1(c_0(c_1(c_2(c_1(c_0(c_3(c_1(c_0(c_3(c_1(c_2(c_2(c_3(z0)))))))))))))))))) -> 2(1(2(1(1(0(1(0(2(3(0(0(3(3(3(1(1(2(z0))))))))))))))))))
   2(c_1(c_0(c_1(c_1(c_3(c_3(c_0(c_1(c_0(c_1(c_2(c_3(c_3(c_0(c_3(c_2(c_2(z0)))))))))))))))))) -> 0(3(3(1(3(3(0(2(1(1(3(1(0(2(1(2(0(2(z0))))))))))))))))))
   2(c_3(c_1(c_1(c_0(c_3(c_1(c_2(c_1(c_0(c_1(c_3(c_2(c_0(c_1(c_2(c_1(c_1(z0)))))))))))))))))) -> 2(3(2(0(1(1(1(3(2(1(1(3(0(0(1(1(2(1(z0))))))))))))))))))
   2(c_1(c_2(c_2(c_2(c_1(c_3(c_2(c_0(c_0(c_2(c_3(c_2(c_3(c_3(c_3(c_0(c_3(z0)))))))))))))))))) -> 2(3(3(1(3(2(0(3(2(1(3(0(2(2(2(2(3(0(z0))))))))))))))))))
   2(c_2(c_1(c_2(c_3(c_2(c_0(c_2(c_0(c_3(c_1(c_0(c_1(c_1(c_0(c_1(c_3(c_3(z0)))))))))))))))))) -> 2(2(0(1(2(0(1(2(3(1(0(2(0(1(3(1(3(3(z0))))))))))))))))))
   2(c_1(c_1(c_1(c_0(c_2(c_2(c_2(c_1(c_0(c_2(c_0(c_0(c_2(c_2(c_2(c_2(c_1(z0)))))))))))))))))) -> 2(2(2(2(1(1(2(0(1(0(0(0(2(1(2(2(2(1(z0))))))))))))))))))
   2(c_3(c_2(c_2(c_2(c_3(c_0(c_3(c_1(c_0(c_3(c_2(c_1(c_1(c_2(c_0(c_2(c_3(z0)))))))))))))))))) -> 2(2(1(1(0(1(2(3(3(0(3(3(2(2(2(0(2(3(z0))))))))))))))))))
   2(c_2(c_3(c_1(c_2(c_3(c_0(c_3(c_1(c_1(c_1(c_0(c_1(c_1(c_0(c_1(c_3(c_1(z0)))))))))))))))))) -> 2(3(1(1(2(0(1(3(1(1(0(1(1(3(1(3(0(2(z0))))))))))))))))))
   2(c_2(c_0(c_3(c_1(c_2(c_0(c_3(c_1(c_2(c_1(c_3(c_0(c_1(c_0(c_3(c_0(c_0(z0)))))))))))))))))) -> 2(3(2(2(1(3(0(3(0(1(3(0(0(0(1(1(2(0(z0))))))))))))))))))
   2(c_2(c_3(c_3(c_1(c_3(c_1(c_1(c_0(c_1(c_2(c_2(c_0(c_3(c_2(c_0(c_3(c_3(z0)))))))))))))))))) -> 2(2(3(1(3(2(1(3(3(1(0(0(2(3(3(1(0(2(z0))))))))))))))))))
   2(c_1(c_3(c_3(c_3(c_1(c_2(c_1(c_2(c_1(c_0(c_0(c_3(c_1(c_3(c_2(c_0(c_0(z0)))))))))))))))))) -> 2(1(3(0(1(3(1(0(2(2(0(0(1(3(1(3(2(3(z0))))))))))))))))))
   2(c_2(c_1(c_0(c_1(c_2(c_0(c_0(c_3(c_0(c_2(c_1(c_1(c_2(c_1(c_2(c_1(c_2(z0)))))))))))))))))) -> 2(2(1(0(3(2(1(1(1(0(0(2(0(1(2(2(1(2(z0))))))))))))))))))
   2(c_3(c_3(c_2(c_3(c_1(c_0(c_1(c_1(c_1(c_3(c_1(c_0(c_1(c_0(c_3(c_2(c_0(z0)))))))))))))))))) -> 2(1(0(0(1(2(3(1(1(3(3(3(1(1(3(2(0(0(z0))))))))))))))))))
   2(c_0(c_1(c_0(c_2(c_2(c_2(c_2(c_0(c_3(c_2(c_3(c_1(c_2(c_3(c_0(c_3(c_2(z0)))))))))))))))))) -> 2(0(2(0(2(2(3(0(3(3(1(3(0(1(2(2(2(2(z0))))))))))))))))))
   2(c_1(c_2(c_3(c_3(c_3(c_0(c_2(c_0(c_0(c_2(c_2(c_1(c_0(c_2(c_0(c_2(c_0(z0)))))))))))))))))) -> 0(3(0(2(2(2(1(3(0(0(1(3(0(0(2(2(2(2(z0))))))))))))))))))
   2(c_2(c_0(c_0(c_2(c_1(c_1(c_2(c_1(c_2(c_0(c_1(c_2(c_2(c_2(c_2(c_2(c_2(z0)))))))))))))))))) -> 2(2(2(2(1(1(0(2(1(1(2(2(0(2(0(2(2(2(z0))))))))))))))))))
   2(c_2(c_1(c_1(c_3(c_1(c_0(c_0(c_1(c_2(c_3(c_2(c_3(c_1(c_0(c_1(c_1(c_0(z0)))))))))))))))))) -> 0(1(2(2(3(1(0(2(1(3(2(1(1(3(0(1(1(0(z0))))))))))))))))))
   2(c_3(c_1(c_0(c_2(c_3(c_1(c_0(c_0(c_1(c_0(c_1(c_0(c_1(c_2(c_2(c_1(c_0(z0)))))))))))))))))) -> 2(0(3(1(0(1(0(1(2(0(2(2(1(3(0(0(1(1(z0))))))))))))))))))
   2(c_0(c_0(c_3(c_1(c_2(c_3(c_2(c_0(c_2(c_3(c_0(c_1(c_2(c_2(c_0(c_0(c_2(z0)))))))))))))))))) -> 2(0(2(3(1(3(0(0(3(2(0(1(0(2(0(2(2(2(z0))))))))))))))))))
   2(c_2(c_1(c_1(c_2(c_3(c_1(c_2(c_1(c_3(c_1(c_0(c_2(c_2(c_0(c_3(c_1(c_1(z0)))))))))))))))))) -> 2(2(1(2(3(1(1(3(1(2(2(1(0(0(2(1(3(1(z0))))))))))))))))))
   3(z0) -> c_3(z0)
   3(c_1(c_0(c_0(c_3(c_0(c_3(c_2(c_3(c_2(c_3(c_0(c_1(c_0(c_1(c_1(c_2(c_3(z0)))))))))))))))))) -> 3(0(1(3(2(3(3(1(1(0(2(0(0(3(1(3(0(2(z0))))))))))))))))))
   3(c_0(c_3(c_1(c_0(c_1(c_0(c_3(c_3(c_1(c_0(c_3(c_2(c_3(c_3(c_2(c_0(c_3(z0)))))))))))))))))) -> 1(3(0(2(0(0(3(3(2(1(3(0(3(3(1(3(3(0(z0))))))))))))))))))
   3(c_0(c_1(c_0(c_1(c_2(c_3(c_3(c_1(c_2(c_3(c_2(c_1(c_1(c_1(c_3(c_3(c_0(z0)))))))))))))))))) -> 3(0(1(2(1(3(3(1(3(0(1(3(1(2(0(1(3(2(z0))))))))))))))))))
   3(c_1(c_2(c_3(c_2(c_0(c_2(c_3(c_1(c_1(c_1(c_3(c_3(c_2(c_0(c_0(c_0(c_3(z0)))))))))))))))))) -> 3(1(3(2(1(3(0(2(1(0(0(2(3(1(2(3(3(0(z0))))))))))))))))))
   3(c_2(c_3(c_2(c_2(c_0(c_3(c_3(c_2(c_0(c_1(c_0(c_0(c_2(c_0(c_1(c_1(c_1(z0)))))))))))))))))) -> 3(0(1(3(2(0(3(0(1(2(3(0(2(0(2(2(1(1(z0))))))))))))))))))
   3(c_3(c_1(c_2(c_2(c_2(c_3(c_3(c_3(c_1(c_3(c_0(c_1(c_1(c_1(c_2(c_1(c_0(z0)))))))))))))))))) -> 3(3(3(1(2(3(1(3(0(2(2(1(3(0(2(1(1(1(z0))))))))))))))))))
   3(c_1(c_1(c_0(c_3(c_0(c_1(c_1(c_3(c_2(c_1(c_2(c_3(c_3(c_1(c_3(c_3(c_1(z0)))))))))))))))))) -> 3(1(3(2(1(1(1(3(3(0(3(2(1(3(0(1(3(1(z0))))))))))))))))))
   3(c_3(c_0(c_1(c_0(c_3(c_2(c_0(c_1(c_1(c_1(c_1(c_3(c_1(c_2(c_3(c_3(c_3(z0)))))))))))))))))) -> 3(2(3(1(1(1(0(3(3(0(2(1(3(0(1(3(1(3(z0))))))))))))))))))
   3(c_3(c_1(c_0(c_3(c_2(c_3(c_0(c_3(c_1(c_0(c_2(c_0(c_3(c_0(c_2(c_2(c_0(z0)))))))))))))))))) -> 3(3(3(2(0(3(0(3(0(1(0(0(1(3(0(2(2(2(z0))))))))))))))))))
   3(c_1(c_2(c_0(c_3(c_2(c_2(c_3(c_2(c_0(c_3(c_3(c_2(c_3(c_3(c_1(c_1(c_3(z0)))))))))))))))))) -> 3(2(2(3(1(3(3(2(1(3(3(0(2(0(2(3(1(3(z0))))))))))))))))))
   3(c_2(c_0(c_1(c_2(c_1(c_0(c_3(c_3(c_3(c_3(c_1(c_2(c_1(c_1(c_0(c_1(c_0(z0)))))))))))))))))) -> 3(0(0(2(1(3(2(3(3(1(1(3(1(1(0(2(0(1(z0))))))))))))))))))
Tuples:
   ENCARG(cons_3(z0)) -> c3(3'(encArg(z0)), ENCARG(z0))
   0'(c_2(c_3(c_0(c_1(c_2(c_3(c_2(c_0(c_3(c_1(c_0(c_0(c_0(c_3(c_3(c_0(c_3(z0)))))))))))))))))) -> c9(0'(2(1(3(0(0(3(3(0(1(0(2(2(3(3(0(0(3(z0)))))))))))))))))), 2'(1(3(0(0(3(3(0(1(0(2(2(3(3(0(0(3(z0))))))))))))))))), 1'(3(0(0(3(3(0(1(0(2(2(3(3(0(0(3(z0)))))))))))))))), 3'(0(0(3(3(0(1(0(2(2(3(3(0(0(3(z0))))))))))))))), 0'(0(3(3(0(1(0(2(2(3(3(0(0(3(z0)))))))))))))), 0'(3(3(0(1(0(2(2(3(3(0(0(3(z0))))))))))))), 3'(3(0(1(0(2(2(3(3(0(0(3(z0)))))))))))), 3'(0(1(0(2(2(3(3(0(0(3(z0))))))))))), 0'(1(0(2(2(3(3(0(0(3(z0)))))))))), 1'(0(2(2(3(3(0(0(3(z0))))))))), 0'(2(2(3(3(0(0(3(z0)))))))), 2'(2(3(3(0(0(3(z0))))))), 2'(3(3(0(0(3(z0)))))), 3'(3(0(0(3(z0))))), 3'(0(0(3(z0)))), 0'(0(3(z0))), 0'(3(z0)), 3'(z0))
   0'(c_1(c_0(c_2(c_1(c_1(c_0(c_0(c_1(c_0(c_3(c_1(c_1(c_0(c_2(c_1(c_2(c_3(z0)))))))))))))))))) -> c10(0'(1(2(0(0(2(1(1(0(1(1(1(0(1(3(0(2(3(z0)))))))))))))))))), 1'(2(0(0(2(1(1(0(1(1(1(0(1(3(0(2(3(z0))))))))))))))))), 2'(0(0(2(1(1(0(1(1(1(0(1(3(0(2(3(z0)))))))))))))))), 0'(0(2(1(1(0(1(1(1(0(1(3(0(2(3(z0))))))))))))))), 0'(2(1(1(0(1(1(1(0(1(3(0(2(3(z0)))))))))))))), 2'(1(1(0(1(1(1(0(1(3(0(2(3(z0))))))))))))), 1'(1(0(1(1(1(0(1(3(0(2(3(z0)))))))))))), 1'(0(1(1(1(0(1(3(0(2(3(z0))))))))))), 0'(1(1(1(0(1(3(0(2(3(z0)))))))))), 1'(1(1(0(1(3(0(2(3(z0))))))))), 1'(1(0(1(3(0(2(3(z0)))))))), 1'(0(1(3(0(2(3(z0))))))), 0'(1(3(0(2(3(z0)))))), 1'(3(0(2(3(z0))))), 3'(0(2(3(z0)))), 0'(2(3(z0))), 2'(3(z0)), 3'(z0))
   0'(c_1(c_0(c_3(c_2(c_0(c_0(c_0(c_3(c_3(c_0(c_2(c_2(c_2(c_2(c_1(c_1(c_1(z0)))))))))))))))))) -> c11(0'(0(1(1(3(0(3(0(0(2(2(2(0(2(2(1(3(1(z0)))))))))))))))))), 0'(1(1(3(0(3(0(0(2(2(2(0(2(2(1(3(1(z0))))))))))))))))), 1'(1(3(0(3(0(0(2(2(2(0(2(2(1(3(1(z0)))))))))))))))), 1'(3(0(3(0(0(2(2(2(0(2(2(1(3(1(z0))))))))))))))), 3'(0(3(0(0(2(2(2(0(2(2(1(3(1(z0)))))))))))))), 0'(3(0(0(2(2(2(0(2(2(1(3(1(z0))))))))))))), 3'(0(0(2(2(2(0(2(2(1(3(1(z0)))))))))))), 0'(0(2(2(2(0(2(2(1(3(1(z0))))))))))), 0'(2(2(2(0(2(2(1(3(1(z0)))))))))), 2'(2(2(0(2(2(1(3(1(z0))))))))), 2'(2(0(2(2(1(3(1(z0)))))))), 2'(0(2(2(1(3(1(z0))))))), 0'(2(2(1(3(1(z0)))))), 2'(2(1(3(1(z0))))), 2'(1(3(1(z0)))), 1'(3(1(z0))), 3'(1(z0)), 1'(z0))
   0'(c_0(c_3(c_1(c_0(c_2(c_2(c_0(c_2(c_3(c_1(c_1(c_0(c_1(c_2(c_2(c_0(c_1(z0)))))))))))))))))) -> c12(0'(2(1(1(3(0(0(0(1(0(2(3(1(2(2(0(2(1(z0)))))))))))))))))), 2'(1(1(3(0(0(0(1(0(2(3(1(2(2(0(2(1(z0))))))))))))))))), 1'(1(3(0(0(0(1(0(2(3(1(2(2(0(2(1(z0)))))))))))))))), 1'(3(0(0(0(1(0(2(3(1(2(2(0(2(1(z0))))))))))))))), 3'(0(0(0(1(0(2(3(1(2(2(0(2(1(z0)))))))))))))), 0'(0(0(1(0(2(3(1(2(2(0(2(1(z0))))))))))))), 0'(0(1(0(2(3(1(2(2(0(2(1(z0)))))))))))), 0'(1(0(2(3(1(2(2(0(2(1(z0))))))))))), 1'(0(2(3(1(2(2(0(2(1(z0)))))))))), 0'(2(3(1(2(2(0(2(1(z0))))))))), 2'(3(1(2(2(0(2(1(z0)))))))), 3'(1(2(2(0(2(1(z0))))))), 1'(2(2(0(2(1(z0)))))), 2'(2(0(2(1(z0))))), 2'(0(2(1(z0)))), 0'(2(1(z0))), 2'(1(z0)), 1'(z0))
   0'(c_3(c_2(c_0(c_3(c_1(c_0(c_1(c_0(c_3(c_0(c_3(c_0(c_0(c_3(c_0(c_0(c_0(z0)))))))))))))))))) -> c13(0'(3(0(0(0(0(1(2(0(3(3(0(0(3(0(1(3(0(z0)))))))))))))))))), 3'(0(0(0(0(1(2(0(3(3(0(0(3(0(1(3(0(z0))))))))))))))))), 0'(0(0(0(1(2(0(3(3(0(0(3(0(1(3(0(z0)))))))))))))))), 0'(0(0(1(2(0(3(3(0(0(3(0(1(3(0(z0))))))))))))))), 0'(0(1(2(0(3(3(0(0(3(0(1(3(0(z0)))))))))))))), 0'(1(2(0(3(3(0(0(3(0(1(3(0(z0))))))))))))), 1'(2(0(3(3(0(0(3(0(1(3(0(z0)))))))))))), 2'(0(3(3(0(0(3(0(1(3(0(z0))))))))))), 0'(3(3(0(0(3(0(1(3(0(z0)))))))))), 3'(3(0(0(3(0(1(3(0(z0))))))))), 3'(0(0(3(0(1(3(0(z0)))))))), 0'(0(3(0(1(3(0(z0))))))), 0'(3(0(1(3(0(z0)))))), 3'(0(1(3(0(z0))))), 0'(1(3(0(z0)))), 1'(3(0(z0))), 3'(0(z0)), 0'(z0))
   0'(c_1(c_2(c_3(c_2(c_1(c_0(c_1(c_2(c_2(c_0(c_0(c_1(c_0(c_3(c_1(c_0(c_1(z0)))))))))))))))))) -> c14(0'(2(1(1(1(0(2(2(0(0(1(1(0(3(0(1(3(2(z0)))))))))))))))))), 2'(1(1(1(0(2(2(0(0(1(1(0(3(0(1(3(2(z0))))))))))))))))), 1'(1(1(0(2(2(0(0(1(1(0(3(0(1(3(2(z0)))))))))))))))), 1'(1(0(2(2(0(0(1(1(0(3(0(1(3(2(z0))))))))))))))), 1'(0(2(2(0(0(1(1(0(3(0(1(3(2(z0)))))))))))))), 0'(2(2(0(0(1(1(0(3(0(1(3(2(z0))))))))))))), 2'(2(0(0(1(1(0(3(0(1(3(2(z0)))))))))))), 2'(0(0(1(1(0(3(0(1(3(2(z0))))))))))), 0'(0(1(1(0(3(0(1(3(2(z0)))))))))), 0'(1(1(0(3(0(1(3(2(z0))))))))), 1'(1(0(3(0(1(3(2(z0)))))))), 1'(0(3(0(1(3(2(z0))))))), 0'(3(0(1(3(2(z0)))))), 3'(0(1(3(2(z0))))), 0'(1(3(2(z0)))), 1'(3(2(z0))), 3'(2(z0)), 2'(z0))
   0'(c_2(c_1(c_0(c_3(c_0(c_3(c_0(c_3(c_2(c_0(c_1(c_0(c_1(c_2(c_2(c_1(c_1(z0)))))))))))))))))) -> c15(0'(2(3(0(3(2(2(1(2(1(1(0(0(3(0(0(1(1(z0)))))))))))))))))), 2'(3(0(3(2(2(1(2(1(1(0(0(3(0(0(1(1(z0))))))))))))))))), 3'(0(3(2(2(1(2(1(1(0(0(3(0(0(1(1(z0)))))))))))))))), 0'(3(2(2(1(2(1(1(0(0(3(0(0(1(1(z0))))))))))))))), 3'(2(2(1(2(1(1(0(0(3(0(0(1(1(z0)))))))))))))), 2'(2(1(2(1(1(0(0(3(0(0(1(1(z0))))))))))))), 2'(1(2(1(1(0(0(3(0(0(1(1(z0)))))))))))), 1'(2(1(1(0(0(3(0(0(1(1(z0))))))))))), 2'(1(1(0(0(3(0(0(1(1(z0)))))))))), 1'(1(0(0(3(0(0(1(1(z0))))))))), 1'(0(0(3(0(0(1(1(z0)))))))), 0'(0(3(0(0(1(1(z0))))))), 0'(3(0(0(1(1(z0)))))), 3'(0(0(1(1(z0))))), 0'(0(1(1(z0)))), 0'(1(1(z0))), 1'(1(z0)), 1'(z0))
   0'(c_0(c_2(c_2(c_1(c_3(c_2(c_2(c_2(c_1(c_0(c_2(c_2(c_0(c_2(c_2(c_0(c_0(z0)))))))))))))))))) -> c16(0'(2(2(2(2(1(3(0(0(2(1(0(2(2(2(2(0(0(z0)))))))))))))))))), 2'(2(2(2(1(3(0(0(2(1(0(2(2(2(2(0(0(z0))))))))))))))))), 2'(2(2(1(3(0(0(2(1(0(2(2(2(2(0(0(z0)))))))))))))))), 2'(2(1(3(0(0(2(1(0(2(2(2(2(0(0(z0))))))))))))))), 2'(1(3(0(0(2(1(0(2(2(2(2(0(0(z0)))))))))))))), 1'(3(0(0(2(1(0(2(2(2(2(0(0(z0))))))))))))), 3'(0(0(2(1(0(2(2(2(2(0(0(z0)))))))))))), 0'(0(2(1(0(2(2(2(2(0(0(z0))))))))))), 0'(2(1(0(2(2(2(2(0(0(z0)))))))))), 2'(1(0(2(2(2(2(0(0(z0))))))))), 1'(0(2(2(2(2(0(0(z0)))))))), 0'(2(2(2(2(0(0(z0))))))), 2'(2(2(2(0(0(z0)))))), 2'(2(2(0(0(z0))))), 2'(2(0(0(z0)))), 2'(0(0(z0))), 0'(0(z0)), 0'(z0))
   0'(c_3(c_1(c_1(c_2(c_3(c_0(c_3(c_0(c_1(c_0(c_1(c_2(c_2(c_1(c_0(c_2(c_2(z0)))))))))))))))))) -> c17(0'(0(1(3(0(0(2(2(2(3(2(1(1(1(1(0(3(2(z0)))))))))))))))))), 0'(1(3(0(0(2(2(2(3(2(1(1(1(1(0(3(2(z0))))))))))))))))), 1'(3(0(0(2(2(2(3(2(1(1(1(1(0(3(2(z0)))))))))))))))), 3'(0(0(2(2(2(3(2(1(1(1(1(0(3(2(z0))))))))))))))), 0'(0(2(2(2(3(2(1(1(1(1(0(3(2(z0)))))))))))))), 0'(2(2(2(3(2(1(1(1(1(0(3(2(z0))))))))))))), 2'(2(2(3(2(1(1(1(1(0(3(2(z0)))))))))))), 2'(2(3(2(1(1(1(1(0(3(2(z0))))))))))), 2'(3(2(1(1(1(1(0(3(2(z0)))))))))), 3'(2(1(1(1(1(0(3(2(z0))))))))), 2'(1(1(1(1(0(3(2(z0)))))))), 1'(1(1(1(0(3(2(z0))))))), 1'(1(1(0(3(2(z0)))))), 1'(1(0(3(2(z0))))), 1'(0(3(2(z0)))), 0'(3(2(z0))), 3'(2(z0)), 2'(z0))
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   3'(c_1(c_2(c_3(c_2(c_0(c_2(c_3(c_1(c_1(c_1(c_3(c_3(c_2(c_0(c_0(c_0(c_3(z0)))))))))))))))))) -> c84(3'(1(3(2(1(3(0(2(1(0(0(2(3(1(2(3(3(0(z0)))))))))))))))))), 1'(3(2(1(3(0(2(1(0(0(2(3(1(2(3(3(0(z0))))))))))))))))), 3'(2(1(3(0(2(1(0(0(2(3(1(2(3(3(0(z0)))))))))))))))), 2'(1(3(0(2(1(0(0(2(3(1(2(3(3(0(z0))))))))))))))), 1'(3(0(2(1(0(0(2(3(1(2(3(3(0(z0)))))))))))))), 3'(0(2(1(0(0(2(3(1(2(3(3(0(z0))))))))))))), 0'(2(1(0(0(2(3(1(2(3(3(0(z0)))))))))))), 2'(1(0(0(2(3(1(2(3(3(0(z0))))))))))), 1'(0(0(2(3(1(2(3(3(0(z0)))))))))), 0'(0(2(3(1(2(3(3(0(z0))))))))), 0'(2(3(1(2(3(3(0(z0)))))))), 2'(3(1(2(3(3(0(z0))))))), 3'(1(2(3(3(0(z0)))))), 1'(2(3(3(0(z0))))), 2'(3(3(0(z0)))), 3'(3(0(z0))), 3'(0(z0)), 0'(z0))
   3'(c_2(c_3(c_2(c_2(c_0(c_3(c_3(c_2(c_0(c_1(c_0(c_0(c_2(c_0(c_1(c_1(c_1(z0)))))))))))))))))) -> c85(3'(0(1(3(2(0(3(0(1(2(3(0(2(0(2(2(1(1(z0)))))))))))))))))), 0'(1(3(2(0(3(0(1(2(3(0(2(0(2(2(1(1(z0))))))))))))))))), 1'(3(2(0(3(0(1(2(3(0(2(0(2(2(1(1(z0)))))))))))))))), 3'(2(0(3(0(1(2(3(0(2(0(2(2(1(1(z0))))))))))))))), 2'(0(3(0(1(2(3(0(2(0(2(2(1(1(z0)))))))))))))), 0'(3(0(1(2(3(0(2(0(2(2(1(1(z0))))))))))))), 3'(0(1(2(3(0(2(0(2(2(1(1(z0)))))))))))), 0'(1(2(3(0(2(0(2(2(1(1(z0))))))))))), 1'(2(3(0(2(0(2(2(1(1(z0)))))))))), 2'(3(0(2(0(2(2(1(1(z0))))))))), 3'(0(2(0(2(2(1(1(z0)))))))), 0'(2(0(2(2(1(1(z0))))))), 2'(0(2(2(1(1(z0)))))), 0'(2(2(1(1(z0))))), 2'(2(1(1(z0)))), 2'(1(1(z0))), 1'(1(z0)), 1'(z0))
   3'(c_3(c_1(c_2(c_2(c_2(c_3(c_3(c_3(c_1(c_3(c_0(c_1(c_1(c_1(c_2(c_1(c_0(z0)))))))))))))))))) -> c86(3'(3(3(1(2(3(1(3(0(2(2(1(3(0(2(1(1(1(z0)))))))))))))))))), 3'(3(1(2(3(1(3(0(2(2(1(3(0(2(1(1(1(z0))))))))))))))))), 3'(1(2(3(1(3(0(2(2(1(3(0(2(1(1(1(z0)))))))))))))))), 1'(2(3(1(3(0(2(2(1(3(0(2(1(1(1(z0))))))))))))))), 2'(3(1(3(0(2(2(1(3(0(2(1(1(1(z0)))))))))))))), 3'(1(3(0(2(2(1(3(0(2(1(1(1(z0))))))))))))), 1'(3(0(2(2(1(3(0(2(1(1(1(z0)))))))))))), 3'(0(2(2(1(3(0(2(1(1(1(z0))))))))))), 0'(2(2(1(3(0(2(1(1(1(z0)))))))))), 2'(2(1(3(0(2(1(1(1(z0))))))))), 2'(1(3(0(2(1(1(1(z0)))))))), 1'(3(0(2(1(1(1(z0))))))), 3'(0(2(1(1(1(z0)))))), 0'(2(1(1(1(z0))))), 2'(1(1(1(z0)))), 1'(1(1(z0))), 1'(1(z0)), 1'(z0))
   3'(c_1(c_1(c_0(c_3(c_0(c_1(c_1(c_3(c_2(c_1(c_2(c_3(c_3(c_1(c_3(c_3(c_1(z0)))))))))))))))))) -> c87(3'(1(3(2(1(1(1(3(3(0(3(2(1(3(0(1(3(1(z0)))))))))))))))))), 1'(3(2(1(1(1(3(3(0(3(2(1(3(0(1(3(1(z0))))))))))))))))), 3'(2(1(1(1(3(3(0(3(2(1(3(0(1(3(1(z0)))))))))))))))), 2'(1(1(1(3(3(0(3(2(1(3(0(1(3(1(z0))))))))))))))), 1'(1(1(3(3(0(3(2(1(3(0(1(3(1(z0)))))))))))))), 1'(1(3(3(0(3(2(1(3(0(1(3(1(z0))))))))))))), 1'(3(3(0(3(2(1(3(0(1(3(1(z0)))))))))))), 3'(3(0(3(2(1(3(0(1(3(1(z0))))))))))), 3'(0(3(2(1(3(0(1(3(1(z0)))))))))), 0'(3(2(1(3(0(1(3(1(z0))))))))), 3'(2(1(3(0(1(3(1(z0)))))))), 2'(1(3(0(1(3(1(z0))))))), 1'(3(0(1(3(1(z0)))))), 3'(0(1(3(1(z0))))), 0'(1(3(1(z0)))), 1'(3(1(z0))), 3'(1(z0)), 1'(z0))
   3'(c_3(c_0(c_1(c_0(c_3(c_2(c_0(c_1(c_1(c_1(c_1(c_3(c_1(c_2(c_3(c_3(c_3(z0)))))))))))))))))) -> c88(3'(2(3(1(1(1(0(3(3(0(2(1(3(0(1(3(1(3(z0)))))))))))))))))), 2'(3(1(1(1(0(3(3(0(2(1(3(0(1(3(1(3(z0))))))))))))))))), 3'(1(1(1(0(3(3(0(2(1(3(0(1(3(1(3(z0)))))))))))))))), 1'(1(1(0(3(3(0(2(1(3(0(1(3(1(3(z0))))))))))))))), 1'(1(0(3(3(0(2(1(3(0(1(3(1(3(z0)))))))))))))), 1'(0(3(3(0(2(1(3(0(1(3(1(3(z0))))))))))))), 0'(3(3(0(2(1(3(0(1(3(1(3(z0)))))))))))), 3'(3(0(2(1(3(0(1(3(1(3(z0))))))))))), 3'(0(2(1(3(0(1(3(1(3(z0)))))))))), 0'(2(1(3(0(1(3(1(3(z0))))))))), 2'(1(3(0(1(3(1(3(z0)))))))), 1'(3(0(1(3(1(3(z0))))))), 3'(0(1(3(1(3(z0)))))), 0'(1(3(1(3(z0))))), 1'(3(1(3(z0)))), 3'(1(3(z0))), 1'(3(z0)), 3'(z0))
   3'(c_3(c_1(c_0(c_3(c_2(c_3(c_0(c_3(c_1(c_0(c_2(c_0(c_3(c_0(c_2(c_2(c_0(z0)))))))))))))))))) -> c89(3'(3(3(2(0(3(0(3(0(1(0(0(1(3(0(2(2(2(z0)))))))))))))))))), 3'(3(2(0(3(0(3(0(1(0(0(1(3(0(2(2(2(z0))))))))))))))))), 3'(2(0(3(0(3(0(1(0(0(1(3(0(2(2(2(z0)))))))))))))))), 2'(0(3(0(3(0(1(0(0(1(3(0(2(2(2(z0))))))))))))))), 0'(3(0(3(0(1(0(0(1(3(0(2(2(2(z0)))))))))))))), 3'(0(3(0(1(0(0(1(3(0(2(2(2(z0))))))))))))), 0'(3(0(1(0(0(1(3(0(2(2(2(z0)))))))))))), 3'(0(1(0(0(1(3(0(2(2(2(z0))))))))))), 0'(1(0(0(1(3(0(2(2(2(z0)))))))))), 1'(0(0(1(3(0(2(2(2(z0))))))))), 0'(0(1(3(0(2(2(2(z0)))))))), 0'(1(3(0(2(2(2(z0))))))), 1'(3(0(2(2(2(z0)))))), 3'(0(2(2(2(z0))))), 0'(2(2(2(z0)))), 2'(2(2(z0))), 2'(2(z0)), 2'(z0))
   3'(c_1(c_2(c_0(c_3(c_2(c_2(c_3(c_2(c_0(c_3(c_3(c_2(c_3(c_3(c_1(c_1(c_3(z0)))))))))))))))))) -> c90(3'(2(2(3(1(3(3(2(1(3(3(0(2(0(2(3(1(3(z0)))))))))))))))))), 2'(2(3(1(3(3(2(1(3(3(0(2(0(2(3(1(3(z0))))))))))))))))), 2'(3(1(3(3(2(1(3(3(0(2(0(2(3(1(3(z0)))))))))))))))), 3'(1(3(3(2(1(3(3(0(2(0(2(3(1(3(z0))))))))))))))), 1'(3(3(2(1(3(3(0(2(0(2(3(1(3(z0)))))))))))))), 3'(3(2(1(3(3(0(2(0(2(3(1(3(z0))))))))))))), 3'(2(1(3(3(0(2(0(2(3(1(3(z0)))))))))))), 2'(1(3(3(0(2(0(2(3(1(3(z0))))))))))), 1'(3(3(0(2(0(2(3(1(3(z0)))))))))), 3'(3(0(2(0(2(3(1(3(z0))))))))), 3'(0(2(0(2(3(1(3(z0)))))))), 0'(2(0(2(3(1(3(z0))))))), 2'(0(2(3(1(3(z0)))))), 0'(2(3(1(3(z0))))), 2'(3(1(3(z0)))), 3'(1(3(z0))), 1'(3(z0)), 3'(z0))
   3'(c_2(c_0(c_1(c_2(c_1(c_0(c_3(c_3(c_3(c_3(c_1(c_2(c_1(c_1(c_0(c_1(c_0(z0)))))))))))))))))) -> c91(3'(0(0(2(1(3(2(3(3(1(1(3(1(1(0(2(0(1(z0)))))))))))))))))), 0'(0(2(1(3(2(3(3(1(1(3(1(1(0(2(0(1(z0))))))))))))))))), 0'(2(1(3(2(3(3(1(1(3(1(1(0(2(0(1(z0)))))))))))))))), 2'(1(3(2(3(3(1(1(3(1(1(0(2(0(1(z0))))))))))))))), 1'(3(2(3(3(1(1(3(1(1(0(2(0(1(z0)))))))))))))), 3'(2(3(3(1(1(3(1(1(0(2(0(1(z0))))))))))))), 2'(3(3(1(1(3(1(1(0(2(0(1(z0)))))))))))), 3'(3(1(1(3(1(1(0(2(0(1(z0))))))))))), 3'(1(1(3(1(1(0(2(0(1(z0)))))))))), 1'(1(3(1(1(0(2(0(1(z0))))))))), 1'(3(1(1(0(2(0(1(z0)))))))), 3'(1(1(0(2(0(1(z0))))))), 1'(1(0(2(0(1(z0)))))), 1'(0(2(0(1(z0))))), 0'(2(0(1(z0)))), 2'(0(1(z0))), 0'(1(z0)), 1'(z0))
   ENCODE_0(z0) -> c8(0'(encArg(z0)))
   ENCODE_2(z0) -> c8(2'(encArg(z0)))
   ENCODE_1(z0) -> c8(1'(encArg(z0)))
   ENCODE_3(z0) -> c8(3'(encArg(z0)))
   ENCARG(cons_0(cons_0(z0))) -> c(0'(0(encArg(z0))), ENCARG(cons_0(z0)))
   ENCARG(cons_0(cons_1(z0))) -> c(0'(1(encArg(z0))), ENCARG(cons_1(z0)))
   ENCARG(cons_0(cons_2(z0))) -> c(0'(2(encArg(z0))), ENCARG(cons_2(z0)))
   ENCARG(cons_0(cons_3(z0))) -> c(0'(3(encArg(z0))), ENCARG(cons_3(z0)))
   ENCARG(cons_1(cons_0(z0))) -> c1(1'(0(encArg(z0))), ENCARG(cons_0(z0)))
   ENCARG(cons_1(cons_1(z0))) -> c1(1'(1(encArg(z0))), ENCARG(cons_1(z0)))
   ENCARG(cons_1(cons_2(z0))) -> c1(1'(2(encArg(z0))), ENCARG(cons_2(z0)))
   ENCARG(cons_1(cons_3(z0))) -> c1(1'(3(encArg(z0))), ENCARG(cons_3(z0)))
   ENCARG(cons_2(cons_0(z0))) -> c2(2'(0(encArg(z0))), ENCARG(cons_0(z0)))
   ENCARG(cons_2(cons_1(z0))) -> c2(2'(1(encArg(z0))), ENCARG(cons_1(z0)))
   ENCARG(cons_2(cons_2(z0))) -> c2(2'(2(encArg(z0))), ENCARG(cons_2(z0)))
   ENCARG(cons_2(cons_3(z0))) -> c2(2'(3(encArg(z0))), ENCARG(cons_3(z0)))
S tuples:
   0'(c_2(c_3(c_0(c_1(c_2(c_3(c_2(c_0(c_3(c_1(c_0(c_0(c_0(c_3(c_3(c_0(c_3(z0)))))))))))))))))) -> c9(0'(2(1(3(0(0(3(3(0(1(0(2(2(3(3(0(0(3(z0)))))))))))))))))), 2'(1(3(0(0(3(3(0(1(0(2(2(3(3(0(0(3(z0))))))))))))))))), 1'(3(0(0(3(3(0(1(0(2(2(3(3(0(0(3(z0)))))))))))))))), 3'(0(0(3(3(0(1(0(2(2(3(3(0(0(3(z0))))))))))))))), 0'(0(3(3(0(1(0(2(2(3(3(0(0(3(z0)))))))))))))), 0'(3(3(0(1(0(2(2(3(3(0(0(3(z0))))))))))))), 3'(3(0(1(0(2(2(3(3(0(0(3(z0)))))))))))), 3'(0(1(0(2(2(3(3(0(0(3(z0))))))))))), 0'(1(0(2(2(3(3(0(0(3(z0)))))))))), 1'(0(2(2(3(3(0(0(3(z0))))))))), 0'(2(2(3(3(0(0(3(z0)))))))), 2'(2(3(3(0(0(3(z0))))))), 2'(3(3(0(0(3(z0)))))), 3'(3(0(0(3(z0))))), 3'(0(0(3(z0)))), 0'(0(3(z0))), 0'(3(z0)), 3'(z0))
   0'(c_1(c_0(c_2(c_1(c_1(c_0(c_0(c_1(c_0(c_3(c_1(c_1(c_0(c_2(c_1(c_2(c_3(z0)))))))))))))))))) -> c10(0'(1(2(0(0(2(1(1(0(1(1(1(0(1(3(0(2(3(z0)))))))))))))))))), 1'(2(0(0(2(1(1(0(1(1(1(0(1(3(0(2(3(z0))))))))))))))))), 2'(0(0(2(1(1(0(1(1(1(0(1(3(0(2(3(z0)))))))))))))))), 0'(0(2(1(1(0(1(1(1(0(1(3(0(2(3(z0))))))))))))))), 0'(2(1(1(0(1(1(1(0(1(3(0(2(3(z0)))))))))))))), 2'(1(1(0(1(1(1(0(1(3(0(2(3(z0))))))))))))), 1'(1(0(1(1(1(0(1(3(0(2(3(z0)))))))))))), 1'(0(1(1(1(0(1(3(0(2(3(z0))))))))))), 0'(1(1(1(0(1(3(0(2(3(z0)))))))))), 1'(1(1(0(1(3(0(2(3(z0))))))))), 1'(1(0(1(3(0(2(3(z0)))))))), 1'(0(1(3(0(2(3(z0))))))), 0'(1(3(0(2(3(z0)))))), 1'(3(0(2(3(z0))))), 3'(0(2(3(z0)))), 0'(2(3(z0))), 2'(3(z0)), 3'(z0))
   0'(c_1(c_0(c_3(c_2(c_0(c_0(c_0(c_3(c_3(c_0(c_2(c_2(c_2(c_2(c_1(c_1(c_1(z0)))))))))))))))))) -> c11(0'(0(1(1(3(0(3(0(0(2(2(2(0(2(2(1(3(1(z0)))))))))))))))))), 0'(1(1(3(0(3(0(0(2(2(2(0(2(2(1(3(1(z0))))))))))))))))), 1'(1(3(0(3(0(0(2(2(2(0(2(2(1(3(1(z0)))))))))))))))), 1'(3(0(3(0(0(2(2(2(0(2(2(1(3(1(z0))))))))))))))), 3'(0(3(0(0(2(2(2(0(2(2(1(3(1(z0)))))))))))))), 0'(3(0(0(2(2(2(0(2(2(1(3(1(z0))))))))))))), 3'(0(0(2(2(2(0(2(2(1(3(1(z0)))))))))))), 0'(0(2(2(2(0(2(2(1(3(1(z0))))))))))), 0'(2(2(2(0(2(2(1(3(1(z0)))))))))), 2'(2(2(0(2(2(1(3(1(z0))))))))), 2'(2(0(2(2(1(3(1(z0)))))))), 2'(0(2(2(1(3(1(z0))))))), 0'(2(2(1(3(1(z0)))))), 2'(2(1(3(1(z0))))), 2'(1(3(1(z0)))), 1'(3(1(z0))), 3'(1(z0)), 1'(z0))
   0'(c_0(c_3(c_1(c_0(c_2(c_2(c_0(c_2(c_3(c_1(c_1(c_0(c_1(c_2(c_2(c_0(c_1(z0)))))))))))))))))) -> c12(0'(2(1(1(3(0(0(0(1(0(2(3(1(2(2(0(2(1(z0)))))))))))))))))), 2'(1(1(3(0(0(0(1(0(2(3(1(2(2(0(2(1(z0))))))))))))))))), 1'(1(3(0(0(0(1(0(2(3(1(2(2(0(2(1(z0)))))))))))))))), 1'(3(0(0(0(1(0(2(3(1(2(2(0(2(1(z0))))))))))))))), 3'(0(0(0(1(0(2(3(1(2(2(0(2(1(z0)))))))))))))), 0'(0(0(1(0(2(3(1(2(2(0(2(1(z0))))))))))))), 0'(0(1(0(2(3(1(2(2(0(2(1(z0)))))))))))), 0'(1(0(2(3(1(2(2(0(2(1(z0))))))))))), 1'(0(2(3(1(2(2(0(2(1(z0)))))))))), 0'(2(3(1(2(2(0(2(1(z0))))))))), 2'(3(1(2(2(0(2(1(z0)))))))), 3'(1(2(2(0(2(1(z0))))))), 1'(2(2(0(2(1(z0)))))), 2'(2(0(2(1(z0))))), 2'(0(2(1(z0)))), 0'(2(1(z0))), 2'(1(z0)), 1'(z0))
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   1'(c_0(c_2(c_3(c_1(c_2(c_3(c_1(c_2(c_3(c_2(c_3(c_2(c_1(c_2(c_2(c_2(c_2(z0)))))))))))))))))) -> c49(2'(3(2(2(3(0(2(1(3(2(2(1(1(1(3(2(2(2(z0)))))))))))))))))), 3'(2(2(3(0(2(1(3(2(2(1(1(1(3(2(2(2(z0))))))))))))))))), 2'(2(3(0(2(1(3(2(2(1(1(1(3(2(2(2(z0)))))))))))))))), 2'(3(0(2(1(3(2(2(1(1(1(3(2(2(2(z0))))))))))))))), 3'(0(2(1(3(2(2(1(1(1(3(2(2(2(z0)))))))))))))), 0'(2(1(3(2(2(1(1(1(3(2(2(2(z0))))))))))))), 2'(1(3(2(2(1(1(1(3(2(2(2(z0)))))))))))), 1'(3(2(2(1(1(1(3(2(2(2(z0))))))))))), 3'(2(2(1(1(1(3(2(2(2(z0)))))))))), 2'(2(1(1(1(3(2(2(2(z0))))))))), 2'(1(1(1(3(2(2(2(z0)))))))), 1'(1(1(3(2(2(2(z0))))))), 1'(1(3(2(2(2(z0)))))), 1'(3(2(2(2(z0))))), 3'(2(2(2(z0)))), 2'(2(2(z0))), 2'(2(z0)), 2'(z0))
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   3'(c_1(c_0(c_0(c_3(c_0(c_3(c_2(c_3(c_2(c_3(c_0(c_1(c_0(c_1(c_1(c_2(c_3(z0)))))))))))))))))) -> c81(3'(0(1(3(2(3(3(1(1(0(2(0(0(3(1(3(0(2(z0)))))))))))))))))), 0'(1(3(2(3(3(1(1(0(2(0(0(3(1(3(0(2(z0))))))))))))))))), 1'(3(2(3(3(1(1(0(2(0(0(3(1(3(0(2(z0)))))))))))))))), 3'(2(3(3(1(1(0(2(0(0(3(1(3(0(2(z0))))))))))))))), 2'(3(3(1(1(0(2(0(0(3(1(3(0(2(z0)))))))))))))), 3'(3(1(1(0(2(0(0(3(1(3(0(2(z0))))))))))))), 3'(1(1(0(2(0(0(3(1(3(0(2(z0)))))))))))), 1'(1(0(2(0(0(3(1(3(0(2(z0))))))))))), 1'(0(2(0(0(3(1(3(0(2(z0)))))))))), 0'(2(0(0(3(1(3(0(2(z0))))))))), 2'(0(0(3(1(3(0(2(z0)))))))), 0'(0(3(1(3(0(2(z0))))))), 0'(3(1(3(0(2(z0)))))), 3'(1(3(0(2(z0))))), 1'(3(0(2(z0)))), 3'(0(2(z0))), 0'(2(z0)), 2'(z0))
   3'(c_0(c_3(c_1(c_0(c_1(c_0(c_3(c_3(c_1(c_0(c_3(c_2(c_3(c_3(c_2(c_0(c_3(z0)))))))))))))))))) -> c82(1'(3(0(2(0(0(3(3(2(1(3(0(3(3(1(3(3(0(z0)))))))))))))))))), 3'(0(2(0(0(3(3(2(1(3(0(3(3(1(3(3(0(z0))))))))))))))))), 0'(2(0(0(3(3(2(1(3(0(3(3(1(3(3(0(z0)))))))))))))))), 2'(0(0(3(3(2(1(3(0(3(3(1(3(3(0(z0))))))))))))))), 0'(0(3(3(2(1(3(0(3(3(1(3(3(0(z0)))))))))))))), 0'(3(3(2(1(3(0(3(3(1(3(3(0(z0))))))))))))), 3'(3(2(1(3(0(3(3(1(3(3(0(z0)))))))))))), 3'(2(1(3(0(3(3(1(3(3(0(z0))))))))))), 2'(1(3(0(3(3(1(3(3(0(z0)))))))))), 1'(3(0(3(3(1(3(3(0(z0))))))))), 3'(0(3(3(1(3(3(0(z0)))))))), 0'(3(3(1(3(3(0(z0))))))), 3'(3(1(3(3(0(z0)))))), 3'(1(3(3(0(z0))))), 1'(3(3(0(z0)))), 3'(3(0(z0))), 3'(0(z0)), 0'(z0))
   3'(c_0(c_1(c_0(c_1(c_2(c_3(c_3(c_1(c_2(c_3(c_2(c_1(c_1(c_1(c_3(c_3(c_0(z0)))))))))))))))))) -> c83(3'(0(1(2(1(3(3(1(3(0(1(3(1(2(0(1(3(2(z0)))))))))))))))))), 0'(1(2(1(3(3(1(3(0(1(3(1(2(0(1(3(2(z0))))))))))))))))), 1'(2(1(3(3(1(3(0(1(3(1(2(0(1(3(2(z0)))))))))))))))), 2'(1(3(3(1(3(0(1(3(1(2(0(1(3(2(z0))))))))))))))), 1'(3(3(1(3(0(1(3(1(2(0(1(3(2(z0)))))))))))))), 3'(3(1(3(0(1(3(1(2(0(1(3(2(z0))))))))))))), 3'(1(3(0(1(3(1(2(0(1(3(2(z0)))))))))))), 1'(3(0(1(3(1(2(0(1(3(2(z0))))))))))), 3'(0(1(3(1(2(0(1(3(2(z0)))))))))), 0'(1(3(1(2(0(1(3(2(z0))))))))), 1'(3(1(2(0(1(3(2(z0)))))))), 3'(1(2(0(1(3(2(z0))))))), 1'(2(0(1(3(2(z0)))))), 2'(0(1(3(2(z0))))), 0'(1(3(2(z0)))), 1'(3(2(z0))), 3'(2(z0)), 2'(z0))
   3'(c_1(c_2(c_3(c_2(c_0(c_2(c_3(c_1(c_1(c_1(c_3(c_3(c_2(c_0(c_0(c_0(c_3(z0)))))))))))))))))) -> c84(3'(1(3(2(1(3(0(2(1(0(0(2(3(1(2(3(3(0(z0)))))))))))))))))), 1'(3(2(1(3(0(2(1(0(0(2(3(1(2(3(3(0(z0))))))))))))))))), 3'(2(1(3(0(2(1(0(0(2(3(1(2(3(3(0(z0)))))))))))))))), 2'(1(3(0(2(1(0(0(2(3(1(2(3(3(0(z0))))))))))))))), 1'(3(0(2(1(0(0(2(3(1(2(3(3(0(z0)))))))))))))), 3'(0(2(1(0(0(2(3(1(2(3(3(0(z0))))))))))))), 0'(2(1(0(0(2(3(1(2(3(3(0(z0)))))))))))), 2'(1(0(0(2(3(1(2(3(3(0(z0))))))))))), 1'(0(0(2(3(1(2(3(3(0(z0)))))))))), 0'(0(2(3(1(2(3(3(0(z0))))))))), 0'(2(3(1(2(3(3(0(z0)))))))), 2'(3(1(2(3(3(0(z0))))))), 3'(1(2(3(3(0(z0)))))), 1'(2(3(3(0(z0))))), 2'(3(3(0(z0)))), 3'(3(0(z0))), 3'(0(z0)), 0'(z0))
   3'(c_2(c_3(c_2(c_2(c_0(c_3(c_3(c_2(c_0(c_1(c_0(c_0(c_2(c_0(c_1(c_1(c_1(z0)))))))))))))))))) -> c85(3'(0(1(3(2(0(3(0(1(2(3(0(2(0(2(2(1(1(z0)))))))))))))))))), 0'(1(3(2(0(3(0(1(2(3(0(2(0(2(2(1(1(z0))))))))))))))))), 1'(3(2(0(3(0(1(2(3(0(2(0(2(2(1(1(z0)))))))))))))))), 3'(2(0(3(0(1(2(3(0(2(0(2(2(1(1(z0))))))))))))))), 2'(0(3(0(1(2(3(0(2(0(2(2(1(1(z0)))))))))))))), 0'(3(0(1(2(3(0(2(0(2(2(1(1(z0))))))))))))), 3'(0(1(2(3(0(2(0(2(2(1(1(z0)))))))))))), 0'(1(2(3(0(2(0(2(2(1(1(z0))))))))))), 1'(2(3(0(2(0(2(2(1(1(z0)))))))))), 2'(3(0(2(0(2(2(1(1(z0))))))))), 3'(0(2(0(2(2(1(1(z0)))))))), 0'(2(0(2(2(1(1(z0))))))), 2'(0(2(2(1(1(z0)))))), 0'(2(2(1(1(z0))))), 2'(2(1(1(z0)))), 2'(1(1(z0))), 1'(1(z0)), 1'(z0))
   3'(c_3(c_1(c_2(c_2(c_2(c_3(c_3(c_3(c_1(c_3(c_0(c_1(c_1(c_1(c_2(c_1(c_0(z0)))))))))))))))))) -> c86(3'(3(3(1(2(3(1(3(0(2(2(1(3(0(2(1(1(1(z0)))))))))))))))))), 3'(3(1(2(3(1(3(0(2(2(1(3(0(2(1(1(1(z0))))))))))))))))), 3'(1(2(3(1(3(0(2(2(1(3(0(2(1(1(1(z0)))))))))))))))), 1'(2(3(1(3(0(2(2(1(3(0(2(1(1(1(z0))))))))))))))), 2'(3(1(3(0(2(2(1(3(0(2(1(1(1(z0)))))))))))))), 3'(1(3(0(2(2(1(3(0(2(1(1(1(z0))))))))))))), 1'(3(0(2(2(1(3(0(2(1(1(1(z0)))))))))))), 3'(0(2(2(1(3(0(2(1(1(1(z0))))))))))), 0'(2(2(1(3(0(2(1(1(1(z0)))))))))), 2'(2(1(3(0(2(1(1(1(z0))))))))), 2'(1(3(0(2(1(1(1(z0)))))))), 1'(3(0(2(1(1(1(z0))))))), 3'(0(2(1(1(1(z0)))))), 0'(2(1(1(1(z0))))), 2'(1(1(1(z0)))), 1'(1(1(z0))), 1'(1(z0)), 1'(z0))
   3'(c_1(c_1(c_0(c_3(c_0(c_1(c_1(c_3(c_2(c_1(c_2(c_3(c_3(c_1(c_3(c_3(c_1(z0)))))))))))))))))) -> c87(3'(1(3(2(1(1(1(3(3(0(3(2(1(3(0(1(3(1(z0)))))))))))))))))), 1'(3(2(1(1(1(3(3(0(3(2(1(3(0(1(3(1(z0))))))))))))))))), 3'(2(1(1(1(3(3(0(3(2(1(3(0(1(3(1(z0)))))))))))))))), 2'(1(1(1(3(3(0(3(2(1(3(0(1(3(1(z0))))))))))))))), 1'(1(1(3(3(0(3(2(1(3(0(1(3(1(z0)))))))))))))), 1'(1(3(3(0(3(2(1(3(0(1(3(1(z0))))))))))))), 1'(3(3(0(3(2(1(3(0(1(3(1(z0)))))))))))), 3'(3(0(3(2(1(3(0(1(3(1(z0))))))))))), 3'(0(3(2(1(3(0(1(3(1(z0)))))))))), 0'(3(2(1(3(0(1(3(1(z0))))))))), 3'(2(1(3(0(1(3(1(z0)))))))), 2'(1(3(0(1(3(1(z0))))))), 1'(3(0(1(3(1(z0)))))), 3'(0(1(3(1(z0))))), 0'(1(3(1(z0)))), 1'(3(1(z0))), 3'(1(z0)), 1'(z0))
   3'(c_3(c_0(c_1(c_0(c_3(c_2(c_0(c_1(c_1(c_1(c_1(c_3(c_1(c_2(c_3(c_3(c_3(z0)))))))))))))))))) -> c88(3'(2(3(1(1(1(0(3(3(0(2(1(3(0(1(3(1(3(z0)))))))))))))))))), 2'(3(1(1(1(0(3(3(0(2(1(3(0(1(3(1(3(z0))))))))))))))))), 3'(1(1(1(0(3(3(0(2(1(3(0(1(3(1(3(z0)))))))))))))))), 1'(1(1(0(3(3(0(2(1(3(0(1(3(1(3(z0))))))))))))))), 1'(1(0(3(3(0(2(1(3(0(1(3(1(3(z0)))))))))))))), 1'(0(3(3(0(2(1(3(0(1(3(1(3(z0))))))))))))), 0'(3(3(0(2(1(3(0(1(3(1(3(z0)))))))))))), 3'(3(0(2(1(3(0(1(3(1(3(z0))))))))))), 3'(0(2(1(3(0(1(3(1(3(z0)))))))))), 0'(2(1(3(0(1(3(1(3(z0))))))))), 2'(1(3(0(1(3(1(3(z0)))))))), 1'(3(0(1(3(1(3(z0))))))), 3'(0(1(3(1(3(z0)))))), 0'(1(3(1(3(z0))))), 1'(3(1(3(z0)))), 3'(1(3(z0))), 1'(3(z0)), 3'(z0))
   3'(c_3(c_1(c_0(c_3(c_2(c_3(c_0(c_3(c_1(c_0(c_2(c_0(c_3(c_0(c_2(c_2(c_0(z0)))))))))))))))))) -> c89(3'(3(3(2(0(3(0(3(0(1(0(0(1(3(0(2(2(2(z0)))))))))))))))))), 3'(3(2(0(3(0(3(0(1(0(0(1(3(0(2(2(2(z0))))))))))))))))), 3'(2(0(3(0(3(0(1(0(0(1(3(0(2(2(2(z0)))))))))))))))), 2'(0(3(0(3(0(1(0(0(1(3(0(2(2(2(z0))))))))))))))), 0'(3(0(3(0(1(0(0(1(3(0(2(2(2(z0)))))))))))))), 3'(0(3(0(1(0(0(1(3(0(2(2(2(z0))))))))))))), 0'(3(0(1(0(0(1(3(0(2(2(2(z0)))))))))))), 3'(0(1(0(0(1(3(0(2(2(2(z0))))))))))), 0'(1(0(0(1(3(0(2(2(2(z0)))))))))), 1'(0(0(1(3(0(2(2(2(z0))))))))), 0'(0(1(3(0(2(2(2(z0)))))))), 0'(1(3(0(2(2(2(z0))))))), 1'(3(0(2(2(2(z0)))))), 3'(0(2(2(2(z0))))), 0'(2(2(2(z0)))), 2'(2(2(z0))), 2'(2(z0)), 2'(z0))
   3'(c_1(c_2(c_0(c_3(c_2(c_2(c_3(c_2(c_0(c_3(c_3(c_2(c_3(c_3(c_1(c_1(c_3(z0)))))))))))))))))) -> c90(3'(2(2(3(1(3(3(2(1(3(3(0(2(0(2(3(1(3(z0)))))))))))))))))), 2'(2(3(1(3(3(2(1(3(3(0(2(0(2(3(1(3(z0))))))))))))))))), 2'(3(1(3(3(2(1(3(3(0(2(0(2(3(1(3(z0)))))))))))))))), 3'(1(3(3(2(1(3(3(0(2(0(2(3(1(3(z0))))))))))))))), 1'(3(3(2(1(3(3(0(2(0(2(3(1(3(z0)))))))))))))), 3'(3(2(1(3(3(0(2(0(2(3(1(3(z0))))))))))))), 3'(2(1(3(3(0(2(0(2(3(1(3(z0)))))))))))), 2'(1(3(3(0(2(0(2(3(1(3(z0))))))))))), 1'(3(3(0(2(0(2(3(1(3(z0)))))))))), 3'(3(0(2(0(2(3(1(3(z0))))))))), 3'(0(2(0(2(3(1(3(z0)))))))), 0'(2(0(2(3(1(3(z0))))))), 2'(0(2(3(1(3(z0)))))), 0'(2(3(1(3(z0))))), 2'(3(1(3(z0)))), 3'(1(3(z0))), 1'(3(z0)), 3'(z0))
   3'(c_2(c_0(c_1(c_2(c_1(c_0(c_3(c_3(c_3(c_3(c_1(c_2(c_1(c_1(c_0(c_1(c_0(z0)))))))))))))))))) -> c91(3'(0(0(2(1(3(2(3(3(1(1(3(1(1(0(2(0(1(z0)))))))))))))))))), 0'(0(2(1(3(2(3(3(1(1(3(1(1(0(2(0(1(z0))))))))))))))))), 0'(2(1(3(2(3(3(1(1(3(1(1(0(2(0(1(z0)))))))))))))))), 2'(1(3(2(3(3(1(1(3(1(1(0(2(0(1(z0))))))))))))))), 1'(3(2(3(3(1(1(3(1(1(0(2(0(1(z0)))))))))))))), 3'(2(3(3(1(1(3(1(1(0(2(0(1(z0))))))))))))), 2'(3(3(1(1(3(1(1(0(2(0(1(z0)))))))))))), 3'(3(1(1(3(1(1(0(2(0(1(z0))))))))))), 3'(1(1(3(1(1(0(2(0(1(z0)))))))))), 1'(1(3(1(1(0(2(0(1(z0))))))))), 1'(3(1(1(0(2(0(1(z0)))))))), 3'(1(1(0(2(0(1(z0))))))), 1'(1(0(2(0(1(z0)))))), 1'(0(2(0(1(z0))))), 0'(2(0(1(z0)))), 2'(0(1(z0))), 0'(1(z0)), 1'(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_2_1, ENCODE_1_1, ENCODE_3_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, c21_18, c22_18, c23_18, c24_18, c25_18, c26_18, c27_18, c28_18, c29_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, c43_18, c44_18, c45_18, c46_18, c47_18, c48_18, c49_18, c50_18, c51_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_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, c81_18, c82_18, c83_18, c84_18, c85_18, c86_18, c87_18, c88_18, c89_18, c90_18, c91_18, c8_1, c_2, c1_2, c2_2


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

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

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

(54)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(cons_0(z0)) -> 0(encArg(z0))
   encArg(cons_1(z0)) -> 1(encArg(z0))
   encArg(cons_2(z0)) -> 2(encArg(z0))
   encArg(cons_3(z0)) -> 3(encArg(z0))
   0(z0) -> c_0(z0)
   0(c_2(c_3(c_0(c_1(c_2(c_3(c_2(c_0(c_3(c_1(c_0(c_0(c_0(c_3(c_3(c_0(c_3(z0)))))))))))))))))) -> 0(2(1(3(0(0(3(3(0(1(0(2(2(3(3(0(0(3(z0))))))))))))))))))
   0(c_1(c_0(c_2(c_1(c_1(c_0(c_0(c_1(c_0(c_3(c_1(c_1(c_0(c_2(c_1(c_2(c_3(z0)))))))))))))))))) -> 0(1(2(0(0(2(1(1(0(1(1(1(0(1(3(0(2(3(z0))))))))))))))))))
   0(c_1(c_0(c_3(c_2(c_0(c_0(c_0(c_3(c_3(c_0(c_2(c_2(c_2(c_2(c_1(c_1(c_1(z0)))))))))))))))))) -> 0(0(1(1(3(0(3(0(0(2(2(2(0(2(2(1(3(1(z0))))))))))))))))))
   0(c_0(c_3(c_1(c_0(c_2(c_2(c_0(c_2(c_3(c_1(c_1(c_0(c_1(c_2(c_2(c_0(c_1(z0)))))))))))))))))) -> 0(2(1(1(3(0(0(0(1(0(2(3(1(2(2(0(2(1(z0))))))))))))))))))
   0(c_3(c_2(c_0(c_3(c_1(c_0(c_1(c_0(c_3(c_0(c_3(c_0(c_0(c_3(c_0(c_0(c_0(z0)))))))))))))))))) -> 0(3(0(0(0(0(1(2(0(3(3(0(0(3(0(1(3(0(z0))))))))))))))))))
   0(c_1(c_2(c_3(c_2(c_1(c_0(c_1(c_2(c_2(c_0(c_0(c_1(c_0(c_3(c_1(c_0(c_1(z0)))))))))))))))))) -> 0(2(1(1(1(0(2(2(0(0(1(1(0(3(0(1(3(2(z0))))))))))))))))))
   0(c_2(c_1(c_0(c_3(c_0(c_3(c_0(c_3(c_2(c_0(c_1(c_0(c_1(c_2(c_2(c_1(c_1(z0)))))))))))))))))) -> 0(2(3(0(3(2(2(1(2(1(1(0(0(3(0(0(1(1(z0))))))))))))))))))
   0(c_0(c_2(c_2(c_1(c_3(c_2(c_2(c_2(c_1(c_0(c_2(c_2(c_0(c_2(c_2(c_0(c_0(z0)))))))))))))))))) -> 0(2(2(2(2(1(3(0(0(2(1(0(2(2(2(2(0(0(z0))))))))))))))))))
   0(c_3(c_1(c_1(c_2(c_3(c_0(c_3(c_0(c_1(c_0(c_1(c_2(c_2(c_1(c_0(c_2(c_2(z0)))))))))))))))))) -> 0(0(1(3(0(0(2(2(2(3(2(1(1(1(1(0(3(2(z0))))))))))))))))))
   0(c_1(c_1(c_1(c_1(c_3(c_1(c_1(c_0(c_1(c_3(c_1(c_0(c_2(c_3(c_3(c_3(c_2(z0)))))))))))))))))) -> 0(2(0(1(3(1(1(3(1(0(1(3(2(1(3(1(1(3(z0))))))))))))))))))
   0(c_3(c_0(c_1(c_0(c_3(c_0(c_1(c_1(c_1(c_2(c_0(c_0(c_0(c_3(c_2(c_1(c_0(z0)))))))))))))))))) -> 0(0(2(2(1(3(0(0(1(3(0(1(0(1(0(0(1(3(z0))))))))))))))))))
   1(z0) -> c_1(z0)
   1(c_0(c_1(c_0(c_2(c_0(c_2(c_3(c_1(c_1(c_2(c_2(c_0(c_0(c_3(c_0(c_3(c_2(z0)))))))))))))))))) -> 0(0(0(1(1(3(1(3(2(0(0(2(2(1(3(0(2(2(z0))))))))))))))))))
   1(c_2(c_0(c_0(c_2(c_1(c_3(c_2(c_2(c_3(c_2(c_2(c_0(c_3(c_2(c_3(c_2(c_2(z0)))))))))))))))))) -> 1(2(0(3(2(2(2(2(3(0(0(2(2(2(3(1(3(2(z0))))))))))))))))))
   1(c_0(c_2(c_3(c_3(c_3(c_1(c_0(c_2(c_0(c_1(c_2(c_2(c_3(c_2(c_1(c_0(c_1(z0)))))))))))))))))) -> 2(3(2(1(0(1(3(1(3(0(2(3(0(2(0(1(2(1(z0))))))))))))))))))
   1(c_1(c_1(c_2(c_1(c_1(c_1(c_2(c_1(c_3(c_1(c_0(c_1(c_2(c_1(c_2(c_3(c_1(z0)))))))))))))))))) -> 1(1(1(1(1(1(3(0(2(2(1(1(1(2(3(1(2(1(z0))))))))))))))))))
   1(c_1(c_0(c_3(c_1(c_0(c_2(c_3(c_1(c_1(c_0(c_3(c_3(c_0(c_3(c_1(c_1(c_1(z0)))))))))))))))))) -> 1(1(3(1(3(2(3(0(1(0(3(0(1(3(1(0(1(1(z0))))))))))))))))))
   1(c_3(c_2(c_2(c_1(c_0(c_1(c_2(c_1(c_0(c_3(c_1(c_0(c_3(c_2(c_3(c_0(c_3(z0)))))))))))))))))) -> 3(1(3(2(1(1(0(0(2(0(0(3(1(3(2(2(1(3(z0))))))))))))))))))
   1(c_2(c_1(c_2(c_1(c_2(c_0(c_1(c_0(c_1(c_3(c_1(c_0(c_0(c_0(c_1(c_3(c_3(z0)))))))))))))))))) -> 1(1(2(2(1(0(1(3(0(1(1(3(0(2(1(3(0(0(z0))))))))))))))))))
   1(c_2(c_0(c_1(c_2(c_1(c_0(c_2(c_0(c_0(c_3(c_1(c_0(c_2(c_0(c_3(c_2(c_2(z0)))))))))))))))))) -> 1(1(0(0(0(2(1(0(2(0(3(2(2(1(0(2(3(2(z0))))))))))))))))))
   1(c_3(c_1(c_1(c_0(c_1(c_2(c_1(c_1(c_1(c_0(c_3(c_1(c_1(c_0(c_2(c_3(c_1(z0)))))))))))))))))) -> 1(1(3(2(1(3(1(1(0(0(1(3(2(1(0(1(1(1(z0))))))))))))))))))
   1(c_3(c_1(c_3(c_2(c_0(c_1(c_3(c_1(c_1(c_3(c_2(c_3(c_3(c_3(c_3(c_0(c_1(z0)))))))))))))))))) -> 1(3(3(3(1(2(3(1(3(0(2(1(1(3(0(3(3(1(z0))))))))))))))))))
   1(c_0(c_0(c_0(c_1(c_2(c_3(c_3(c_2(c_2(c_1(c_0(c_2(c_3(c_3(c_2(c_0(c_3(z0)))))))))))))))))) -> 3(0(2(1(1(3(3(1(0(0(2(0(2(2(3(2(0(3(z0))))))))))))))))))
   1(c_1(c_0(c_0(c_1(c_2(c_1(c_2(c_2(c_0(c_3(c_1(c_2(c_3(c_2(c_0(c_0(c_3(z0)))))))))))))))))) -> 1(2(2(0(2(1(0(2(1(0(0(2(3(0(1(1(3(3(z0))))))))))))))))))
   1(c_2(c_0(c_2(c_0(c_0(c_0(c_3(c_0(c_1(c_0(c_1(c_1(c_0(c_3(c_1(c_0(c_3(z0)))))))))))))))))) -> 1(3(0(3(1(1(0(1(1(0(0(0(2(2(3(0(0(0(z0))))))))))))))))))
   1(c_1(c_0(c_3(c_1(c_0(c_3(c_3(c_3(c_1(c_1(c_2(c_2(c_2(c_2(c_0(c_1(c_2(z0)))))))))))))))))) -> 2(1(1(0(0(1(1(2(3(3(3(0(1(2(3(2(1(2(z0))))))))))))))))))
   1(c_3(c_3(c_0(c_0(c_3(c_3(c_1(c_0(c_0(c_2(c_3(c_3(c_1(c_3(c_2(c_3(c_1(z0)))))))))))))))))) -> 1(3(0(0(1(3(0(1(3(3(2(2(3(3(3(3(0(1(z0))))))))))))))))))
   1(c_2(c_3(c_3(c_2(c_1(c_0(c_3(c_2(c_2(c_1(c_0(c_3(c_1(c_0(c_0(c_0(c_0(z0)))))))))))))))))) -> 0(3(0(1(2(1(3(0(1(0(2(1(2(3(3(0(2(0(z0))))))))))))))))))
   1(c_0(c_3(c_0(c_3(c_1(c_0(c_3(c_3(c_1(c_2(c_1(c_3(c_2(c_0(c_2(c_1(c_0(z0)))))))))))))))))) -> 2(2(1(3(0(0(1(3(1(0(2(0(0(3(3(3(1(1(z0))))))))))))))))))
   1(c_2(c_3(c_0(c_3(c_2(c_0(c_2(c_0(c_2(c_0(c_3(c_2(c_0(c_2(c_2(c_0(c_0(z0)))))))))))))))))) -> 1(2(2(2(0(3(3(0(0(2(0(0(0(2(2(2(3(0(z0))))))))))))))))))
   1(c_1(c_3(c_2(c_0(c_2(c_3(c_1(c_0(c_1(c_0(c_2(c_3(c_3(c_2(c_2(c_0(c_0(z0)))))))))))))))))) -> 2(0(2(3(2(0(2(0(1(2(1(3(0(1(3(0(1(3(z0))))))))))))))))))
   1(c_0(c_3(c_3(c_1(c_0(c_3(c_3(c_3(c_1(c_1(c_3(c_2(c_0(c_0(c_1(c_3(c_1(z0)))))))))))))))))) -> 1(3(3(0(1(3(3(0(1(3(3(0(1(3(2(1(0(1(z0))))))))))))))))))
   1(c_2(c_1(c_3(c_2(c_3(c_3(c_1(c_1(c_1(c_0(c_1(c_0(c_0(c_3(c_2(c_0(c_3(z0)))))))))))))))))) -> 1(3(3(2(3(0(2(1(3(1(1(3(1(2(1(0(0(0(z0))))))))))))))))))
   1(c_2(c_1(c_0(c_3(c_1(c_3(c_3(c_2(c_2(c_2(c_2(c_0(c_0(c_3(c_1(c_0(c_1(z0)))))))))))))))))) -> 3(1(2(0(1(3(2(3(2(2(0(0(0(2(3(1(1(1(z0))))))))))))))))))
   1(c_2(c_3(c_3(c_1(c_2(c_2(c_2(c_1(c_0(c_1(c_2(c_0(c_1(c_3(c_2(c_0(c_1(z0)))))))))))))))))) -> 3(3(0(0(2(0(2(2(1(1(1(3(1(2(2(1(2(1(z0))))))))))))))))))
   1(c_0(c_1(c_3(c_2(c_2(c_3(c_2(c_0(c_0(c_1(c_0(c_3(c_2(c_3(c_2(c_3(c_3(z0)))))))))))))))))) -> 1(3(3(1(2(2(0(3(0(0(1(3(0(2(2(3(2(3(z0))))))))))))))))))
   1(c_1(c_1(c_3(c_1(c_3(c_1(c_0(c_3(c_2(c_1(c_3(c_2(c_1(c_0(c_3(c_0(c_3(z0)))))))))))))))))) -> 1(2(2(3(0(1(3(1(1(3(0(0(1(3(1(1(3(3(z0))))))))))))))))))
   1(c_3(c_3(c_0(c_1(c_1(c_3(c_2(c_2(c_1(c_1(c_0(c_3(c_1(c_2(c_1(c_0(c_0(z0)))))))))))))))))) -> 1(3(1(1(0(0(1(1(2(1(3(0(2(3(1(0(2(3(z0))))))))))))))))))
   1(c_1(c_1(c_1(c_0(c_1(c_3(c_2(c_1(c_1(c_2(c_2(c_0(c_2(c_2(c_3(c_0(c_2(z0)))))))))))))))))) -> 1(1(1(2(3(0(2(2(1(1(1(2(3(0(1(2(0(2(z0))))))))))))))))))
   1(c_1(c_3(c_3(c_2(c_1(c_3(c_3(c_2(c_0(c_1(c_3(c_3(c_3(c_0(c_3(c_2(c_1(z0)))))))))))))))))) -> 1(3(1(3(0(3(3(3(1(3(3(2(3(1(2(0(2(1(z0))))))))))))))))))
   1(c_0(c_2(c_3(c_1(c_2(c_3(c_1(c_2(c_3(c_2(c_3(c_2(c_1(c_2(c_2(c_2(c_2(z0)))))))))))))))))) -> 2(3(2(2(3(0(2(1(3(2(2(1(1(1(3(2(2(2(z0))))))))))))))))))
   1(c_3(c_3(c_2(c_2(c_1(c_0(c_3(c_2(c_1(c_1(c_1(c_2(c_3(c_1(c_0(c_1(c_0(z0)))))))))))))))))) -> 2(0(1(2(1(2(1(3(1(1(3(0(3(2(1(3(0(1(z0))))))))))))))))))
   1(c_2(c_3(c_1(c_1(c_0(c_0(c_3(c_3(c_0(c_2(c_1(c_3(c_3(c_0(c_3(c_2(c_3(z0)))))))))))))))))) -> 3(1(3(0(2(3(3(1(3(0(2(1(2(0(0(1(3(3(z0))))))))))))))))))
   2(z0) -> c_2(z0)
   2(c_2(c_2(c_2(c_1(c_1(c_0(c_1(c_1(c_2(c_2(c_0(c_0(c_1(c_2(c_2(c_1(c_1(z0)))))))))))))))))) -> 0(2(1(2(0(2(0(2(2(1(2(2(2(1(1(1(1(1(z0))))))))))))))))))
   2(c_0(c_1(c_3(c_3(c_3(c_3(c_3(c_1(c_1(c_3(c_2(c_0(c_1(c_0(c_0(c_1(c_0(z0)))))))))))))))))) -> 1(3(0(2(1(1(3(0(2(3(0(0(3(1(3(3(1(0(z0))))))))))))))))))
   2(c_3(c_2(c_1(c_0(c_0(c_0(c_2(c_3(c_2(c_3(c_0(c_3(c_0(c_2(c_1(c_1(c_2(z0)))))))))))))))))) -> 2(2(3(0(3(0(2(1(0(2(2(0(1(3(1(3(0(2(z0))))))))))))))))))
   2(c_1(c_2(c_2(c_3(c_2(c_3(c_0(c_1(c_3(c_2(c_1(c_1(c_3(c_3(c_2(c_2(c_2(z0)))))))))))))))))) -> 2(1(1(1(3(2(3(2(2(3(0(2(3(2(1(3(2(2(z0))))))))))))))))))
   2(c_1(c_2(c_2(c_2(c_0(c_2(c_1(c_2(c_3(c_0(c_0(c_3(c_1(c_2(c_2(c_1(c_3(z0)))))))))))))))))) -> 0(2(0(2(1(3(2(2(1(3(2(2(1(3(0(2(1(2(z0))))))))))))))))))
   2(c_0(c_3(c_0(c_3(c_2(c_3(c_2(c_1(c_0(c_1(c_2(c_2(c_0(c_0(c_0(c_1(c_2(z0)))))))))))))))))) -> 0(2(2(1(2(0(1(2(0(3(0(0(2(1(3(0(3(2(z0))))))))))))))))))
   2(c_3(c_0(c_2(c_0(c_3(c_2(c_0(c_2(c_3(c_2(c_1(c_2(c_2(c_2(c_3(c_0(c_3(z0)))))))))))))))))) -> 2(3(2(3(3(0(0(2(2(2(1(3(2(0(2(3(2(0(z0))))))))))))))))))
   2(c_3(c_1(c_0(c_1(c_0(c_1(c_2(c_1(c_0(c_3(c_1(c_0(c_3(c_1(c_2(c_2(c_3(z0)))))))))))))))))) -> 2(1(2(1(1(0(1(0(2(3(0(0(3(3(3(1(1(2(z0))))))))))))))))))
   2(c_1(c_0(c_1(c_1(c_3(c_3(c_0(c_1(c_0(c_1(c_2(c_3(c_3(c_0(c_3(c_2(c_2(z0)))))))))))))))))) -> 0(3(3(1(3(3(0(2(1(1(3(1(0(2(1(2(0(2(z0))))))))))))))))))
   2(c_3(c_1(c_1(c_0(c_3(c_1(c_2(c_1(c_0(c_1(c_3(c_2(c_0(c_1(c_2(c_1(c_1(z0)))))))))))))))))) -> 2(3(2(0(1(1(1(3(2(1(1(3(0(0(1(1(2(1(z0))))))))))))))))))
   2(c_1(c_2(c_2(c_2(c_1(c_3(c_2(c_0(c_0(c_2(c_3(c_2(c_3(c_3(c_3(c_0(c_3(z0)))))))))))))))))) -> 2(3(3(1(3(2(0(3(2(1(3(0(2(2(2(2(3(0(z0))))))))))))))))))
   2(c_2(c_1(c_2(c_3(c_2(c_0(c_2(c_0(c_3(c_1(c_0(c_1(c_1(c_0(c_1(c_3(c_3(z0)))))))))))))))))) -> 2(2(0(1(2(0(1(2(3(1(0(2(0(1(3(1(3(3(z0))))))))))))))))))
   2(c_1(c_1(c_1(c_0(c_2(c_2(c_2(c_1(c_0(c_2(c_0(c_0(c_2(c_2(c_2(c_2(c_1(z0)))))))))))))))))) -> 2(2(2(2(1(1(2(0(1(0(0(0(2(1(2(2(2(1(z0))))))))))))))))))
   2(c_3(c_2(c_2(c_2(c_3(c_0(c_3(c_1(c_0(c_3(c_2(c_1(c_1(c_2(c_0(c_2(c_3(z0)))))))))))))))))) -> 2(2(1(1(0(1(2(3(3(0(3(3(2(2(2(0(2(3(z0))))))))))))))))))
   2(c_2(c_3(c_1(c_2(c_3(c_0(c_3(c_1(c_1(c_1(c_0(c_1(c_1(c_0(c_1(c_3(c_1(z0)))))))))))))))))) -> 2(3(1(1(2(0(1(3(1(1(0(1(1(3(1(3(0(2(z0))))))))))))))))))
   2(c_2(c_0(c_3(c_1(c_2(c_0(c_3(c_1(c_2(c_1(c_3(c_0(c_1(c_0(c_3(c_0(c_0(z0)))))))))))))))))) -> 2(3(2(2(1(3(0(3(0(1(3(0(0(0(1(1(2(0(z0))))))))))))))))))
   2(c_2(c_3(c_3(c_1(c_3(c_1(c_1(c_0(c_1(c_2(c_2(c_0(c_3(c_2(c_0(c_3(c_3(z0)))))))))))))))))) -> 2(2(3(1(3(2(1(3(3(1(0(0(2(3(3(1(0(2(z0))))))))))))))))))
   2(c_1(c_3(c_3(c_3(c_1(c_2(c_1(c_2(c_1(c_0(c_0(c_3(c_1(c_3(c_2(c_0(c_0(z0)))))))))))))))))) -> 2(1(3(0(1(3(1(0(2(2(0(0(1(3(1(3(2(3(z0))))))))))))))))))
   2(c_2(c_1(c_0(c_1(c_2(c_0(c_0(c_3(c_0(c_2(c_1(c_1(c_2(c_1(c_2(c_1(c_2(z0)))))))))))))))))) -> 2(2(1(0(3(2(1(1(1(0(0(2(0(1(2(2(1(2(z0))))))))))))))))))
   2(c_3(c_3(c_2(c_3(c_1(c_0(c_1(c_1(c_1(c_3(c_1(c_0(c_1(c_0(c_3(c_2(c_0(z0)))))))))))))))))) -> 2(1(0(0(1(2(3(1(1(3(3(3(1(1(3(2(0(0(z0))))))))))))))))))
   2(c_0(c_1(c_0(c_2(c_2(c_2(c_2(c_0(c_3(c_2(c_3(c_1(c_2(c_3(c_0(c_3(c_2(z0)))))))))))))))))) -> 2(0(2(0(2(2(3(0(3(3(1(3(0(1(2(2(2(2(z0))))))))))))))))))
   2(c_1(c_2(c_3(c_3(c_3(c_0(c_2(c_0(c_0(c_2(c_2(c_1(c_0(c_2(c_0(c_2(c_0(z0)))))))))))))))))) -> 0(3(0(2(2(2(1(3(0(0(1(3(0(0(2(2(2(2(z0))))))))))))))))))
   2(c_2(c_0(c_0(c_2(c_1(c_1(c_2(c_1(c_2(c_0(c_1(c_2(c_2(c_2(c_2(c_2(c_2(z0)))))))))))))))))) -> 2(2(2(2(1(1(0(2(1(1(2(2(0(2(0(2(2(2(z0))))))))))))))))))
   2(c_2(c_1(c_1(c_3(c_1(c_0(c_0(c_1(c_2(c_3(c_2(c_3(c_1(c_0(c_1(c_1(c_0(z0)))))))))))))))))) -> 0(1(2(2(3(1(0(2(1(3(2(1(1(3(0(1(1(0(z0))))))))))))))))))
   2(c_3(c_1(c_0(c_2(c_3(c_1(c_0(c_0(c_1(c_0(c_1(c_0(c_1(c_2(c_2(c_1(c_0(z0)))))))))))))))))) -> 2(0(3(1(0(1(0(1(2(0(2(2(1(3(0(0(1(1(z0))))))))))))))))))
   2(c_0(c_0(c_3(c_1(c_2(c_3(c_2(c_0(c_2(c_3(c_0(c_1(c_2(c_2(c_0(c_0(c_2(z0)))))))))))))))))) -> 2(0(2(3(1(3(0(0(3(2(0(1(0(2(0(2(2(2(z0))))))))))))))))))
   2(c_2(c_1(c_1(c_2(c_3(c_1(c_2(c_1(c_3(c_1(c_0(c_2(c_2(c_0(c_3(c_1(c_1(z0)))))))))))))))))) -> 2(2(1(2(3(1(1(3(1(2(2(1(0(0(2(1(3(1(z0))))))))))))))))))
   3(z0) -> c_3(z0)
   3(c_1(c_0(c_0(c_3(c_0(c_3(c_2(c_3(c_2(c_3(c_0(c_1(c_0(c_1(c_1(c_2(c_3(z0)))))))))))))))))) -> 3(0(1(3(2(3(3(1(1(0(2(0(0(3(1(3(0(2(z0))))))))))))))))))
   3(c_0(c_3(c_1(c_0(c_1(c_0(c_3(c_3(c_1(c_0(c_3(c_2(c_3(c_3(c_2(c_0(c_3(z0)))))))))))))))))) -> 1(3(0(2(0(0(3(3(2(1(3(0(3(3(1(3(3(0(z0))))))))))))))))))
   3(c_0(c_1(c_0(c_1(c_2(c_3(c_3(c_1(c_2(c_3(c_2(c_1(c_1(c_1(c_3(c_3(c_0(z0)))))))))))))))))) -> 3(0(1(2(1(3(3(1(3(0(1(3(1(2(0(1(3(2(z0))))))))))))))))))
   3(c_1(c_2(c_3(c_2(c_0(c_2(c_3(c_1(c_1(c_1(c_3(c_3(c_2(c_0(c_0(c_0(c_3(z0)))))))))))))))))) -> 3(1(3(2(1(3(0(2(1(0(0(2(3(1(2(3(3(0(z0))))))))))))))))))
   3(c_2(c_3(c_2(c_2(c_0(c_3(c_3(c_2(c_0(c_1(c_0(c_0(c_2(c_0(c_1(c_1(c_1(z0)))))))))))))))))) -> 3(0(1(3(2(0(3(0(1(2(3(0(2(0(2(2(1(1(z0))))))))))))))))))
   3(c_3(c_1(c_2(c_2(c_2(c_3(c_3(c_3(c_1(c_3(c_0(c_1(c_1(c_1(c_2(c_1(c_0(z0)))))))))))))))))) -> 3(3(3(1(2(3(1(3(0(2(2(1(3(0(2(1(1(1(z0))))))))))))))))))
   3(c_1(c_1(c_0(c_3(c_0(c_1(c_1(c_3(c_2(c_1(c_2(c_3(c_3(c_1(c_3(c_3(c_1(z0)))))))))))))))))) -> 3(1(3(2(1(1(1(3(3(0(3(2(1(3(0(1(3(1(z0))))))))))))))))))
   3(c_3(c_0(c_1(c_0(c_3(c_2(c_0(c_1(c_1(c_1(c_1(c_3(c_1(c_2(c_3(c_3(c_3(z0)))))))))))))))))) -> 3(2(3(1(1(1(0(3(3(0(2(1(3(0(1(3(1(3(z0))))))))))))))))))
   3(c_3(c_1(c_0(c_3(c_2(c_3(c_0(c_3(c_1(c_0(c_2(c_0(c_3(c_0(c_2(c_2(c_0(z0)))))))))))))))))) -> 3(3(3(2(0(3(0(3(0(1(0(0(1(3(0(2(2(2(z0))))))))))))))))))
   3(c_1(c_2(c_0(c_3(c_2(c_2(c_3(c_2(c_0(c_3(c_3(c_2(c_3(c_3(c_1(c_1(c_3(z0)))))))))))))))))) -> 3(2(2(3(1(3(3(2(1(3(3(0(2(0(2(3(1(3(z0))))))))))))))))))
   3(c_2(c_0(c_1(c_2(c_1(c_0(c_3(c_3(c_3(c_3(c_1(c_2(c_1(c_1(c_0(c_1(c_0(z0)))))))))))))))))) -> 3(0(0(2(1(3(2(3(3(1(1(3(1(1(0(2(0(1(z0))))))))))))))))))
Tuples:
   0'(c_2(c_3(c_0(c_1(c_2(c_3(c_2(c_0(c_3(c_1(c_0(c_0(c_0(c_3(c_3(c_0(c_3(z0)))))))))))))))))) -> c9(0'(2(1(3(0(0(3(3(0(1(0(2(2(3(3(0(0(3(z0)))))))))))))))))), 2'(1(3(0(0(3(3(0(1(0(2(2(3(3(0(0(3(z0))))))))))))))))), 1'(3(0(0(3(3(0(1(0(2(2(3(3(0(0(3(z0)))))))))))))))), 3'(0(0(3(3(0(1(0(2(2(3(3(0(0(3(z0))))))))))))))), 0'(0(3(3(0(1(0(2(2(3(3(0(0(3(z0)))))))))))))), 0'(3(3(0(1(0(2(2(3(3(0(0(3(z0))))))))))))), 3'(3(0(1(0(2(2(3(3(0(0(3(z0)))))))))))), 3'(0(1(0(2(2(3(3(0(0(3(z0))))))))))), 0'(1(0(2(2(3(3(0(0(3(z0)))))))))), 1'(0(2(2(3(3(0(0(3(z0))))))))), 0'(2(2(3(3(0(0(3(z0)))))))), 2'(2(3(3(0(0(3(z0))))))), 2'(3(3(0(0(3(z0)))))), 3'(3(0(0(3(z0))))), 3'(0(0(3(z0)))), 0'(0(3(z0))), 0'(3(z0)), 3'(z0))
   0'(c_1(c_0(c_2(c_1(c_1(c_0(c_0(c_1(c_0(c_3(c_1(c_1(c_0(c_2(c_1(c_2(c_3(z0)))))))))))))))))) -> c10(0'(1(2(0(0(2(1(1(0(1(1(1(0(1(3(0(2(3(z0)))))))))))))))))), 1'(2(0(0(2(1(1(0(1(1(1(0(1(3(0(2(3(z0))))))))))))))))), 2'(0(0(2(1(1(0(1(1(1(0(1(3(0(2(3(z0)))))))))))))))), 0'(0(2(1(1(0(1(1(1(0(1(3(0(2(3(z0))))))))))))))), 0'(2(1(1(0(1(1(1(0(1(3(0(2(3(z0)))))))))))))), 2'(1(1(0(1(1(1(0(1(3(0(2(3(z0))))))))))))), 1'(1(0(1(1(1(0(1(3(0(2(3(z0)))))))))))), 1'(0(1(1(1(0(1(3(0(2(3(z0))))))))))), 0'(1(1(1(0(1(3(0(2(3(z0)))))))))), 1'(1(1(0(1(3(0(2(3(z0))))))))), 1'(1(0(1(3(0(2(3(z0)))))))), 1'(0(1(3(0(2(3(z0))))))), 0'(1(3(0(2(3(z0)))))), 1'(3(0(2(3(z0))))), 3'(0(2(3(z0)))), 0'(2(3(z0))), 2'(3(z0)), 3'(z0))
   0'(c_1(c_0(c_3(c_2(c_0(c_0(c_0(c_3(c_3(c_0(c_2(c_2(c_2(c_2(c_1(c_1(c_1(z0)))))))))))))))))) -> c11(0'(0(1(1(3(0(3(0(0(2(2(2(0(2(2(1(3(1(z0)))))))))))))))))), 0'(1(1(3(0(3(0(0(2(2(2(0(2(2(1(3(1(z0))))))))))))))))), 1'(1(3(0(3(0(0(2(2(2(0(2(2(1(3(1(z0)))))))))))))))), 1'(3(0(3(0(0(2(2(2(0(2(2(1(3(1(z0))))))))))))))), 3'(0(3(0(0(2(2(2(0(2(2(1(3(1(z0)))))))))))))), 0'(3(0(0(2(2(2(0(2(2(1(3(1(z0))))))))))))), 3'(0(0(2(2(2(0(2(2(1(3(1(z0)))))))))))), 0'(0(2(2(2(0(2(2(1(3(1(z0))))))))))), 0'(2(2(2(0(2(2(1(3(1(z0)))))))))), 2'(2(2(0(2(2(1(3(1(z0))))))))), 2'(2(0(2(2(1(3(1(z0)))))))), 2'(0(2(2(1(3(1(z0))))))), 0'(2(2(1(3(1(z0)))))), 2'(2(1(3(1(z0))))), 2'(1(3(1(z0)))), 1'(3(1(z0))), 3'(1(z0)), 1'(z0))
   0'(c_0(c_3(c_1(c_0(c_2(c_2(c_0(c_2(c_3(c_1(c_1(c_0(c_1(c_2(c_2(c_0(c_1(z0)))))))))))))))))) -> c12(0'(2(1(1(3(0(0(0(1(0(2(3(1(2(2(0(2(1(z0)))))))))))))))))), 2'(1(1(3(0(0(0(1(0(2(3(1(2(2(0(2(1(z0))))))))))))))))), 1'(1(3(0(0(0(1(0(2(3(1(2(2(0(2(1(z0)))))))))))))))), 1'(3(0(0(0(1(0(2(3(1(2(2(0(2(1(z0))))))))))))))), 3'(0(0(0(1(0(2(3(1(2(2(0(2(1(z0)))))))))))))), 0'(0(0(1(0(2(3(1(2(2(0(2(1(z0))))))))))))), 0'(0(1(0(2(3(1(2(2(0(2(1(z0)))))))))))), 0'(1(0(2(3(1(2(2(0(2(1(z0))))))))))), 1'(0(2(3(1(2(2(0(2(1(z0)))))))))), 0'(2(3(1(2(2(0(2(1(z0))))))))), 2'(3(1(2(2(0(2(1(z0)))))))), 3'(1(2(2(0(2(1(z0))))))), 1'(2(2(0(2(1(z0)))))), 2'(2(0(2(1(z0))))), 2'(0(2(1(z0)))), 0'(2(1(z0))), 2'(1(z0)), 1'(z0))
   0'(c_3(c_2(c_0(c_3(c_1(c_0(c_1(c_0(c_3(c_0(c_3(c_0(c_0(c_3(c_0(c_0(c_0(z0)))))))))))))))))) -> c13(0'(3(0(0(0(0(1(2(0(3(3(0(0(3(0(1(3(0(z0)))))))))))))))))), 3'(0(0(0(0(1(2(0(3(3(0(0(3(0(1(3(0(z0))))))))))))))))), 0'(0(0(0(1(2(0(3(3(0(0(3(0(1(3(0(z0)))))))))))))))), 0'(0(0(1(2(0(3(3(0(0(3(0(1(3(0(z0))))))))))))))), 0'(0(1(2(0(3(3(0(0(3(0(1(3(0(z0)))))))))))))), 0'(1(2(0(3(3(0(0(3(0(1(3(0(z0))))))))))))), 1'(2(0(3(3(0(0(3(0(1(3(0(z0)))))))))))), 2'(0(3(3(0(0(3(0(1(3(0(z0))))))))))), 0'(3(3(0(0(3(0(1(3(0(z0)))))))))), 3'(3(0(0(3(0(1(3(0(z0))))))))), 3'(0(0(3(0(1(3(0(z0)))))))), 0'(0(3(0(1(3(0(z0))))))), 0'(3(0(1(3(0(z0)))))), 3'(0(1(3(0(z0))))), 0'(1(3(0(z0)))), 1'(3(0(z0))), 3'(0(z0)), 0'(z0))
   0'(c_1(c_2(c_3(c_2(c_1(c_0(c_1(c_2(c_2(c_0(c_0(c_1(c_0(c_3(c_1(c_0(c_1(z0)))))))))))))))))) -> c14(0'(2(1(1(1(0(2(2(0(0(1(1(0(3(0(1(3(2(z0)))))))))))))))))), 2'(1(1(1(0(2(2(0(0(1(1(0(3(0(1(3(2(z0))))))))))))))))), 1'(1(1(0(2(2(0(0(1(1(0(3(0(1(3(2(z0)))))))))))))))), 1'(1(0(2(2(0(0(1(1(0(3(0(1(3(2(z0))))))))))))))), 1'(0(2(2(0(0(1(1(0(3(0(1(3(2(z0)))))))))))))), 0'(2(2(0(0(1(1(0(3(0(1(3(2(z0))))))))))))), 2'(2(0(0(1(1(0(3(0(1(3(2(z0)))))))))))), 2'(0(0(1(1(0(3(0(1(3(2(z0))))))))))), 0'(0(1(1(0(3(0(1(3(2(z0)))))))))), 0'(1(1(0(3(0(1(3(2(z0))))))))), 1'(1(0(3(0(1(3(2(z0)))))))), 1'(0(3(0(1(3(2(z0))))))), 0'(3(0(1(3(2(z0)))))), 3'(0(1(3(2(z0))))), 0'(1(3(2(z0)))), 1'(3(2(z0))), 3'(2(z0)), 2'(z0))
   0'(c_2(c_1(c_0(c_3(c_0(c_3(c_0(c_3(c_2(c_0(c_1(c_0(c_1(c_2(c_2(c_1(c_1(z0)))))))))))))))))) -> c15(0'(2(3(0(3(2(2(1(2(1(1(0(0(3(0(0(1(1(z0)))))))))))))))))), 2'(3(0(3(2(2(1(2(1(1(0(0(3(0(0(1(1(z0))))))))))))))))), 3'(0(3(2(2(1(2(1(1(0(0(3(0(0(1(1(z0)))))))))))))))), 0'(3(2(2(1(2(1(1(0(0(3(0(0(1(1(z0))))))))))))))), 3'(2(2(1(2(1(1(0(0(3(0(0(1(1(z0)))))))))))))), 2'(2(1(2(1(1(0(0(3(0(0(1(1(z0))))))))))))), 2'(1(2(1(1(0(0(3(0(0(1(1(z0)))))))))))), 1'(2(1(1(0(0(3(0(0(1(1(z0))))))))))), 2'(1(1(0(0(3(0(0(1(1(z0)))))))))), 1'(1(0(0(3(0(0(1(1(z0))))))))), 1'(0(0(3(0(0(1(1(z0)))))))), 0'(0(3(0(0(1(1(z0))))))), 0'(3(0(0(1(1(z0)))))), 3'(0(0(1(1(z0))))), 0'(0(1(1(z0)))), 0'(1(1(z0))), 1'(1(z0)), 1'(z0))
   0'(c_0(c_2(c_2(c_1(c_3(c_2(c_2(c_2(c_1(c_0(c_2(c_2(c_0(c_2(c_2(c_0(c_0(z0)))))))))))))))))) -> c16(0'(2(2(2(2(1(3(0(0(2(1(0(2(2(2(2(0(0(z0)))))))))))))))))), 2'(2(2(2(1(3(0(0(2(1(0(2(2(2(2(0(0(z0))))))))))))))))), 2'(2(2(1(3(0(0(2(1(0(2(2(2(2(0(0(z0)))))))))))))))), 2'(2(1(3(0(0(2(1(0(2(2(2(2(0(0(z0))))))))))))))), 2'(1(3(0(0(2(1(0(2(2(2(2(0(0(z0)))))))))))))), 1'(3(0(0(2(1(0(2(2(2(2(0(0(z0))))))))))))), 3'(0(0(2(1(0(2(2(2(2(0(0(z0)))))))))))), 0'(0(2(1(0(2(2(2(2(0(0(z0))))))))))), 0'(2(1(0(2(2(2(2(0(0(z0)))))))))), 2'(1(0(2(2(2(2(0(0(z0))))))))), 1'(0(2(2(2(2(0(0(z0)))))))), 0'(2(2(2(2(0(0(z0))))))), 2'(2(2(2(0(0(z0)))))), 2'(2(2(0(0(z0))))), 2'(2(0(0(z0)))), 2'(0(0(z0))), 0'(0(z0)), 0'(z0))
   0'(c_3(c_1(c_1(c_2(c_3(c_0(c_3(c_0(c_1(c_0(c_1(c_2(c_2(c_1(c_0(c_2(c_2(z0)))))))))))))))))) -> c17(0'(0(1(3(0(0(2(2(2(3(2(1(1(1(1(0(3(2(z0)))))))))))))))))), 0'(1(3(0(0(2(2(2(3(2(1(1(1(1(0(3(2(z0))))))))))))))))), 1'(3(0(0(2(2(2(3(2(1(1(1(1(0(3(2(z0)))))))))))))))), 3'(0(0(2(2(2(3(2(1(1(1(1(0(3(2(z0))))))))))))))), 0'(0(2(2(2(3(2(1(1(1(1(0(3(2(z0)))))))))))))), 0'(2(2(2(3(2(1(1(1(1(0(3(2(z0))))))))))))), 2'(2(2(3(2(1(1(1(1(0(3(2(z0)))))))))))), 2'(2(3(2(1(1(1(1(0(3(2(z0))))))))))), 2'(3(2(1(1(1(1(0(3(2(z0)))))))))), 3'(2(1(1(1(1(0(3(2(z0))))))))), 2'(1(1(1(1(0(3(2(z0)))))))), 1'(1(1(1(0(3(2(z0))))))), 1'(1(1(0(3(2(z0)))))), 1'(1(0(3(2(z0))))), 1'(0(3(2(z0)))), 0'(3(2(z0))), 3'(2(z0)), 2'(z0))
   0'(c_1(c_1(c_1(c_1(c_3(c_1(c_1(c_0(c_1(c_3(c_1(c_0(c_2(c_3(c_3(c_3(c_2(z0)))))))))))))))))) -> c18(0'(2(0(1(3(1(1(3(1(0(1(3(2(1(3(1(1(3(z0)))))))))))))))))), 2'(0(1(3(1(1(3(1(0(1(3(2(1(3(1(1(3(z0))))))))))))))))), 0'(1(3(1(1(3(1(0(1(3(2(1(3(1(1(3(z0)))))))))))))))), 1'(3(1(1(3(1(0(1(3(2(1(3(1(1(3(z0))))))))))))))), 3'(1(1(3(1(0(1(3(2(1(3(1(1(3(z0)))))))))))))), 1'(1(3(1(0(1(3(2(1(3(1(1(3(z0))))))))))))), 1'(3(1(0(1(3(2(1(3(1(1(3(z0)))))))))))), 3'(1(0(1(3(2(1(3(1(1(3(z0))))))))))), 1'(0(1(3(2(1(3(1(1(3(z0)))))))))), 0'(1(3(2(1(3(1(1(3(z0))))))))), 1'(3(2(1(3(1(1(3(z0)))))))), 3'(2(1(3(1(1(3(z0))))))), 2'(1(3(1(1(3(z0)))))), 1'(3(1(1(3(z0))))), 3'(1(1(3(z0)))), 1'(1(3(z0))), 1'(3(z0)), 3'(z0))
   0'(c_3(c_0(c_1(c_0(c_3(c_0(c_1(c_1(c_1(c_2(c_0(c_0(c_0(c_3(c_2(c_1(c_0(z0)))))))))))))))))) -> c19(0'(0(2(2(1(3(0(0(1(3(0(1(0(1(0(0(1(3(z0)))))))))))))))))), 0'(2(2(1(3(0(0(1(3(0(1(0(1(0(0(1(3(z0))))))))))))))))), 2'(2(1(3(0(0(1(3(0(1(0(1(0(0(1(3(z0)))))))))))))))), 2'(1(3(0(0(1(3(0(1(0(1(0(0(1(3(z0))))))))))))))), 1'(3(0(0(1(3(0(1(0(1(0(0(1(3(z0)))))))))))))), 3'(0(0(1(3(0(1(0(1(0(0(1(3(z0))))))))))))), 0'(0(1(3(0(1(0(1(0(0(1(3(z0)))))))))))), 0'(1(3(0(1(0(1(0(0(1(3(z0))))))))))), 1'(3(0(1(0(1(0(0(1(3(z0)))))))))), 3'(0(1(0(1(0(0(1(3(z0))))))))), 0'(1(0(1(0(0(1(3(z0)))))))), 1'(0(1(0(0(1(3(z0))))))), 0'(1(0(0(1(3(z0)))))), 1'(0(0(1(3(z0))))), 0'(0(1(3(z0)))), 0'(1(3(z0))), 1'(3(z0)), 3'(z0))
   1'(c_0(c_1(c_0(c_2(c_0(c_2(c_3(c_1(c_1(c_2(c_2(c_0(c_0(c_3(c_0(c_3(c_2(z0)))))))))))))))))) -> c21(0'(0(0(1(1(3(1(3(2(0(0(2(2(1(3(0(2(2(z0)))))))))))))))))), 0'(0(1(1(3(1(3(2(0(0(2(2(1(3(0(2(2(z0))))))))))))))))), 0'(1(1(3(1(3(2(0(0(2(2(1(3(0(2(2(z0)))))))))))))))), 1'(1(3(1(3(2(0(0(2(2(1(3(0(2(2(z0))))))))))))))), 1'(3(1(3(2(0(0(2(2(1(3(0(2(2(z0)))))))))))))), 3'(1(3(2(0(0(2(2(1(3(0(2(2(z0))))))))))))), 1'(3(2(0(0(2(2(1(3(0(2(2(z0)))))))))))), 3'(2(0(0(2(2(1(3(0(2(2(z0))))))))))), 2'(0(0(2(2(1(3(0(2(2(z0)))))))))), 0'(0(2(2(1(3(0(2(2(z0))))))))), 0'(2(2(1(3(0(2(2(z0)))))))), 2'(2(1(3(0(2(2(z0))))))), 2'(1(3(0(2(2(z0)))))), 1'(3(0(2(2(z0))))), 3'(0(2(2(z0)))), 0'(2(2(z0))), 2'(2(z0)), 2'(z0))
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   1'(c_3(c_1(c_3(c_2(c_0(c_1(c_3(c_1(c_1(c_3(c_2(c_3(c_3(c_3(c_3(c_0(c_1(z0)))))))))))))))))) -> c30(1'(3(3(3(1(2(3(1(3(0(2(1(1(3(0(3(3(1(z0)))))))))))))))))), 3'(3(3(1(2(3(1(3(0(2(1(1(3(0(3(3(1(z0))))))))))))))))), 3'(3(1(2(3(1(3(0(2(1(1(3(0(3(3(1(z0)))))))))))))))), 3'(1(2(3(1(3(0(2(1(1(3(0(3(3(1(z0))))))))))))))), 1'(2(3(1(3(0(2(1(1(3(0(3(3(1(z0)))))))))))))), 2'(3(1(3(0(2(1(1(3(0(3(3(1(z0))))))))))))), 3'(1(3(0(2(1(1(3(0(3(3(1(z0)))))))))))), 1'(3(0(2(1(1(3(0(3(3(1(z0))))))))))), 3'(0(2(1(1(3(0(3(3(1(z0)))))))))), 0'(2(1(1(3(0(3(3(1(z0))))))))), 2'(1(1(3(0(3(3(1(z0)))))))), 1'(1(3(0(3(3(1(z0))))))), 1'(3(0(3(3(1(z0)))))), 3'(0(3(3(1(z0))))), 0'(3(3(1(z0)))), 3'(3(1(z0))), 3'(1(z0)), 1'(z0))
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   3'(c_3(c_1(c_0(c_3(c_2(c_3(c_0(c_3(c_1(c_0(c_2(c_0(c_3(c_0(c_2(c_2(c_0(z0)))))))))))))))))) -> c89(3'(3(3(2(0(3(0(3(0(1(0(0(1(3(0(2(2(2(z0)))))))))))))))))), 3'(3(2(0(3(0(3(0(1(0(0(1(3(0(2(2(2(z0))))))))))))))))), 3'(2(0(3(0(3(0(1(0(0(1(3(0(2(2(2(z0)))))))))))))))), 2'(0(3(0(3(0(1(0(0(1(3(0(2(2(2(z0))))))))))))))), 0'(3(0(3(0(1(0(0(1(3(0(2(2(2(z0)))))))))))))), 3'(0(3(0(1(0(0(1(3(0(2(2(2(z0))))))))))))), 0'(3(0(1(0(0(1(3(0(2(2(2(z0)))))))))))), 3'(0(1(0(0(1(3(0(2(2(2(z0))))))))))), 0'(1(0(0(1(3(0(2(2(2(z0)))))))))), 1'(0(0(1(3(0(2(2(2(z0))))))))), 0'(0(1(3(0(2(2(2(z0)))))))), 0'(1(3(0(2(2(2(z0))))))), 1'(3(0(2(2(2(z0)))))), 3'(0(2(2(2(z0))))), 0'(2(2(2(z0)))), 2'(2(2(z0))), 2'(2(z0)), 2'(z0))
   3'(c_1(c_2(c_0(c_3(c_2(c_2(c_3(c_2(c_0(c_3(c_3(c_2(c_3(c_3(c_1(c_1(c_3(z0)))))))))))))))))) -> c90(3'(2(2(3(1(3(3(2(1(3(3(0(2(0(2(3(1(3(z0)))))))))))))))))), 2'(2(3(1(3(3(2(1(3(3(0(2(0(2(3(1(3(z0))))))))))))))))), 2'(3(1(3(3(2(1(3(3(0(2(0(2(3(1(3(z0)))))))))))))))), 3'(1(3(3(2(1(3(3(0(2(0(2(3(1(3(z0))))))))))))))), 1'(3(3(2(1(3(3(0(2(0(2(3(1(3(z0)))))))))))))), 3'(3(2(1(3(3(0(2(0(2(3(1(3(z0))))))))))))), 3'(2(1(3(3(0(2(0(2(3(1(3(z0)))))))))))), 2'(1(3(3(0(2(0(2(3(1(3(z0))))))))))), 1'(3(3(0(2(0(2(3(1(3(z0)))))))))), 3'(3(0(2(0(2(3(1(3(z0))))))))), 3'(0(2(0(2(3(1(3(z0)))))))), 0'(2(0(2(3(1(3(z0))))))), 2'(0(2(3(1(3(z0)))))), 0'(2(3(1(3(z0))))), 2'(3(1(3(z0)))), 3'(1(3(z0))), 1'(3(z0)), 3'(z0))
   3'(c_2(c_0(c_1(c_2(c_1(c_0(c_3(c_3(c_3(c_3(c_1(c_2(c_1(c_1(c_0(c_1(c_0(z0)))))))))))))))))) -> c91(3'(0(0(2(1(3(2(3(3(1(1(3(1(1(0(2(0(1(z0)))))))))))))))))), 0'(0(2(1(3(2(3(3(1(1(3(1(1(0(2(0(1(z0))))))))))))))))), 0'(2(1(3(2(3(3(1(1(3(1(1(0(2(0(1(z0)))))))))))))))), 2'(1(3(2(3(3(1(1(3(1(1(0(2(0(1(z0))))))))))))))), 1'(3(2(3(3(1(1(3(1(1(0(2(0(1(z0)))))))))))))), 3'(2(3(3(1(1(3(1(1(0(2(0(1(z0))))))))))))), 2'(3(3(1(1(3(1(1(0(2(0(1(z0)))))))))))), 3'(3(1(1(3(1(1(0(2(0(1(z0))))))))))), 3'(1(1(3(1(1(0(2(0(1(z0)))))))))), 1'(1(3(1(1(0(2(0(1(z0))))))))), 1'(3(1(1(0(2(0(1(z0)))))))), 3'(1(1(0(2(0(1(z0))))))), 1'(1(0(2(0(1(z0)))))), 1'(0(2(0(1(z0))))), 0'(2(0(1(z0)))), 2'(0(1(z0))), 0'(1(z0)), 1'(z0))
   ENCODE_0(z0) -> c8(0'(encArg(z0)))
   ENCODE_2(z0) -> c8(2'(encArg(z0)))
   ENCODE_1(z0) -> c8(1'(encArg(z0)))
   ENCODE_3(z0) -> c8(3'(encArg(z0)))
   ENCARG(cons_0(cons_0(z0))) -> c(0'(0(encArg(z0))), ENCARG(cons_0(z0)))
   ENCARG(cons_0(cons_1(z0))) -> c(0'(1(encArg(z0))), ENCARG(cons_1(z0)))
   ENCARG(cons_0(cons_2(z0))) -> c(0'(2(encArg(z0))), ENCARG(cons_2(z0)))
   ENCARG(cons_0(cons_3(z0))) -> c(0'(3(encArg(z0))), ENCARG(cons_3(z0)))
   ENCARG(cons_1(cons_0(z0))) -> c1(1'(0(encArg(z0))), ENCARG(cons_0(z0)))
   ENCARG(cons_1(cons_1(z0))) -> c1(1'(1(encArg(z0))), ENCARG(cons_1(z0)))
   ENCARG(cons_1(cons_2(z0))) -> c1(1'(2(encArg(z0))), ENCARG(cons_2(z0)))
   ENCARG(cons_1(cons_3(z0))) -> c1(1'(3(encArg(z0))), ENCARG(cons_3(z0)))
   ENCARG(cons_2(cons_0(z0))) -> c2(2'(0(encArg(z0))), ENCARG(cons_0(z0)))
   ENCARG(cons_2(cons_1(z0))) -> c2(2'(1(encArg(z0))), ENCARG(cons_1(z0)))
   ENCARG(cons_2(cons_2(z0))) -> c2(2'(2(encArg(z0))), ENCARG(cons_2(z0)))
   ENCARG(cons_2(cons_3(z0))) -> c2(2'(3(encArg(z0))), ENCARG(cons_3(z0)))
   ENCARG(cons_3(cons_0(z0))) -> c3(3'(0(encArg(z0))), ENCARG(cons_0(z0)))
   ENCARG(cons_3(cons_1(z0))) -> c3(3'(1(encArg(z0))), ENCARG(cons_1(z0)))
   ENCARG(cons_3(cons_2(z0))) -> c3(3'(2(encArg(z0))), ENCARG(cons_2(z0)))
   ENCARG(cons_3(cons_3(z0))) -> c3(3'(3(encArg(z0))), ENCARG(cons_3(z0)))
S tuples:
   0'(c_2(c_3(c_0(c_1(c_2(c_3(c_2(c_0(c_3(c_1(c_0(c_0(c_0(c_3(c_3(c_0(c_3(z0)))))))))))))))))) -> c9(0'(2(1(3(0(0(3(3(0(1(0(2(2(3(3(0(0(3(z0)))))))))))))))))), 2'(1(3(0(0(3(3(0(1(0(2(2(3(3(0(0(3(z0))))))))))))))))), 1'(3(0(0(3(3(0(1(0(2(2(3(3(0(0(3(z0)))))))))))))))), 3'(0(0(3(3(0(1(0(2(2(3(3(0(0(3(z0))))))))))))))), 0'(0(3(3(0(1(0(2(2(3(3(0(0(3(z0)))))))))))))), 0'(3(3(0(1(0(2(2(3(3(0(0(3(z0))))))))))))), 3'(3(0(1(0(2(2(3(3(0(0(3(z0)))))))))))), 3'(0(1(0(2(2(3(3(0(0(3(z0))))))))))), 0'(1(0(2(2(3(3(0(0(3(z0)))))))))), 1'(0(2(2(3(3(0(0(3(z0))))))))), 0'(2(2(3(3(0(0(3(z0)))))))), 2'(2(3(3(0(0(3(z0))))))), 2'(3(3(0(0(3(z0)))))), 3'(3(0(0(3(z0))))), 3'(0(0(3(z0)))), 0'(0(3(z0))), 0'(3(z0)), 3'(z0))
   0'(c_1(c_0(c_2(c_1(c_1(c_0(c_0(c_1(c_0(c_3(c_1(c_1(c_0(c_2(c_1(c_2(c_3(z0)))))))))))))))))) -> c10(0'(1(2(0(0(2(1(1(0(1(1(1(0(1(3(0(2(3(z0)))))))))))))))))), 1'(2(0(0(2(1(1(0(1(1(1(0(1(3(0(2(3(z0))))))))))))))))), 2'(0(0(2(1(1(0(1(1(1(0(1(3(0(2(3(z0)))))))))))))))), 0'(0(2(1(1(0(1(1(1(0(1(3(0(2(3(z0))))))))))))))), 0'(2(1(1(0(1(1(1(0(1(3(0(2(3(z0)))))))))))))), 2'(1(1(0(1(1(1(0(1(3(0(2(3(z0))))))))))))), 1'(1(0(1(1(1(0(1(3(0(2(3(z0)))))))))))), 1'(0(1(1(1(0(1(3(0(2(3(z0))))))))))), 0'(1(1(1(0(1(3(0(2(3(z0)))))))))), 1'(1(1(0(1(3(0(2(3(z0))))))))), 1'(1(0(1(3(0(2(3(z0)))))))), 1'(0(1(3(0(2(3(z0))))))), 0'(1(3(0(2(3(z0)))))), 1'(3(0(2(3(z0))))), 3'(0(2(3(z0)))), 0'(2(3(z0))), 2'(3(z0)), 3'(z0))
   0'(c_1(c_0(c_3(c_2(c_0(c_0(c_0(c_3(c_3(c_0(c_2(c_2(c_2(c_2(c_1(c_1(c_1(z0)))))))))))))))))) -> c11(0'(0(1(1(3(0(3(0(0(2(2(2(0(2(2(1(3(1(z0)))))))))))))))))), 0'(1(1(3(0(3(0(0(2(2(2(0(2(2(1(3(1(z0))))))))))))))))), 1'(1(3(0(3(0(0(2(2(2(0(2(2(1(3(1(z0)))))))))))))))), 1'(3(0(3(0(0(2(2(2(0(2(2(1(3(1(z0))))))))))))))), 3'(0(3(0(0(2(2(2(0(2(2(1(3(1(z0)))))))))))))), 0'(3(0(0(2(2(2(0(2(2(1(3(1(z0))))))))))))), 3'(0(0(2(2(2(0(2(2(1(3(1(z0)))))))))))), 0'(0(2(2(2(0(2(2(1(3(1(z0))))))))))), 0'(2(2(2(0(2(2(1(3(1(z0)))))))))), 2'(2(2(0(2(2(1(3(1(z0))))))))), 2'(2(0(2(2(1(3(1(z0)))))))), 2'(0(2(2(1(3(1(z0))))))), 0'(2(2(1(3(1(z0)))))), 2'(2(1(3(1(z0))))), 2'(1(3(1(z0)))), 1'(3(1(z0))), 3'(1(z0)), 1'(z0))
   0'(c_0(c_3(c_1(c_0(c_2(c_2(c_0(c_2(c_3(c_1(c_1(c_0(c_1(c_2(c_2(c_0(c_1(z0)))))))))))))))))) -> c12(0'(2(1(1(3(0(0(0(1(0(2(3(1(2(2(0(2(1(z0)))))))))))))))))), 2'(1(1(3(0(0(0(1(0(2(3(1(2(2(0(2(1(z0))))))))))))))))), 1'(1(3(0(0(0(1(0(2(3(1(2(2(0(2(1(z0)))))))))))))))), 1'(3(0(0(0(1(0(2(3(1(2(2(0(2(1(z0))))))))))))))), 3'(0(0(0(1(0(2(3(1(2(2(0(2(1(z0)))))))))))))), 0'(0(0(1(0(2(3(1(2(2(0(2(1(z0))))))))))))), 0'(0(1(0(2(3(1(2(2(0(2(1(z0)))))))))))), 0'(1(0(2(3(1(2(2(0(2(1(z0))))))))))), 1'(0(2(3(1(2(2(0(2(1(z0)))))))))), 0'(2(3(1(2(2(0(2(1(z0))))))))), 2'(3(1(2(2(0(2(1(z0)))))))), 3'(1(2(2(0(2(1(z0))))))), 1'(2(2(0(2(1(z0)))))), 2'(2(0(2(1(z0))))), 2'(0(2(1(z0)))), 0'(2(1(z0))), 2'(1(z0)), 1'(z0))
   0'(c_3(c_2(c_0(c_3(c_1(c_0(c_1(c_0(c_3(c_0(c_3(c_0(c_0(c_3(c_0(c_0(c_0(z0)))))))))))))))))) -> c13(0'(3(0(0(0(0(1(2(0(3(3(0(0(3(0(1(3(0(z0)))))))))))))))))), 3'(0(0(0(0(1(2(0(3(3(0(0(3(0(1(3(0(z0))))))))))))))))), 0'(0(0(0(1(2(0(3(3(0(0(3(0(1(3(0(z0)))))))))))))))), 0'(0(0(1(2(0(3(3(0(0(3(0(1(3(0(z0))))))))))))))), 0'(0(1(2(0(3(3(0(0(3(0(1(3(0(z0)))))))))))))), 0'(1(2(0(3(3(0(0(3(0(1(3(0(z0))))))))))))), 1'(2(0(3(3(0(0(3(0(1(3(0(z0)))))))))))), 2'(0(3(3(0(0(3(0(1(3(0(z0))))))))))), 0'(3(3(0(0(3(0(1(3(0(z0)))))))))), 3'(3(0(0(3(0(1(3(0(z0))))))))), 3'(0(0(3(0(1(3(0(z0)))))))), 0'(0(3(0(1(3(0(z0))))))), 0'(3(0(1(3(0(z0)))))), 3'(0(1(3(0(z0))))), 0'(1(3(0(z0)))), 1'(3(0(z0))), 3'(0(z0)), 0'(z0))
   0'(c_1(c_2(c_3(c_2(c_1(c_0(c_1(c_2(c_2(c_0(c_0(c_1(c_0(c_3(c_1(c_0(c_1(z0)))))))))))))))))) -> c14(0'(2(1(1(1(0(2(2(0(0(1(1(0(3(0(1(3(2(z0)))))))))))))))))), 2'(1(1(1(0(2(2(0(0(1(1(0(3(0(1(3(2(z0))))))))))))))))), 1'(1(1(0(2(2(0(0(1(1(0(3(0(1(3(2(z0)))))))))))))))), 1'(1(0(2(2(0(0(1(1(0(3(0(1(3(2(z0))))))))))))))), 1'(0(2(2(0(0(1(1(0(3(0(1(3(2(z0)))))))))))))), 0'(2(2(0(0(1(1(0(3(0(1(3(2(z0))))))))))))), 2'(2(0(0(1(1(0(3(0(1(3(2(z0)))))))))))), 2'(0(0(1(1(0(3(0(1(3(2(z0))))))))))), 0'(0(1(1(0(3(0(1(3(2(z0)))))))))), 0'(1(1(0(3(0(1(3(2(z0))))))))), 1'(1(0(3(0(1(3(2(z0)))))))), 1'(0(3(0(1(3(2(z0))))))), 0'(3(0(1(3(2(z0)))))), 3'(0(1(3(2(z0))))), 0'(1(3(2(z0)))), 1'(3(2(z0))), 3'(2(z0)), 2'(z0))
   0'(c_2(c_1(c_0(c_3(c_0(c_3(c_0(c_3(c_2(c_0(c_1(c_0(c_1(c_2(c_2(c_1(c_1(z0)))))))))))))))))) -> c15(0'(2(3(0(3(2(2(1(2(1(1(0(0(3(0(0(1(1(z0)))))))))))))))))), 2'(3(0(3(2(2(1(2(1(1(0(0(3(0(0(1(1(z0))))))))))))))))), 3'(0(3(2(2(1(2(1(1(0(0(3(0(0(1(1(z0)))))))))))))))), 0'(3(2(2(1(2(1(1(0(0(3(0(0(1(1(z0))))))))))))))), 3'(2(2(1(2(1(1(0(0(3(0(0(1(1(z0)))))))))))))), 2'(2(1(2(1(1(0(0(3(0(0(1(1(z0))))))))))))), 2'(1(2(1(1(0(0(3(0(0(1(1(z0)))))))))))), 1'(2(1(1(0(0(3(0(0(1(1(z0))))))))))), 2'(1(1(0(0(3(0(0(1(1(z0)))))))))), 1'(1(0(0(3(0(0(1(1(z0))))))))), 1'(0(0(3(0(0(1(1(z0)))))))), 0'(0(3(0(0(1(1(z0))))))), 0'(3(0(0(1(1(z0)))))), 3'(0(0(1(1(z0))))), 0'(0(1(1(z0)))), 0'(1(1(z0))), 1'(1(z0)), 1'(z0))
   0'(c_0(c_2(c_2(c_1(c_3(c_2(c_2(c_2(c_1(c_0(c_2(c_2(c_0(c_2(c_2(c_0(c_0(z0)))))))))))))))))) -> c16(0'(2(2(2(2(1(3(0(0(2(1(0(2(2(2(2(0(0(z0)))))))))))))))))), 2'(2(2(2(1(3(0(0(2(1(0(2(2(2(2(0(0(z0))))))))))))))))), 2'(2(2(1(3(0(0(2(1(0(2(2(2(2(0(0(z0)))))))))))))))), 2'(2(1(3(0(0(2(1(0(2(2(2(2(0(0(z0))))))))))))))), 2'(1(3(0(0(2(1(0(2(2(2(2(0(0(z0)))))))))))))), 1'(3(0(0(2(1(0(2(2(2(2(0(0(z0))))))))))))), 3'(0(0(2(1(0(2(2(2(2(0(0(z0)))))))))))), 0'(0(2(1(0(2(2(2(2(0(0(z0))))))))))), 0'(2(1(0(2(2(2(2(0(0(z0)))))))))), 2'(1(0(2(2(2(2(0(0(z0))))))))), 1'(0(2(2(2(2(0(0(z0)))))))), 0'(2(2(2(2(0(0(z0))))))), 2'(2(2(2(0(0(z0)))))), 2'(2(2(0(0(z0))))), 2'(2(0(0(z0)))), 2'(0(0(z0))), 0'(0(z0)), 0'(z0))
   0'(c_3(c_1(c_1(c_2(c_3(c_0(c_3(c_0(c_1(c_0(c_1(c_2(c_2(c_1(c_0(c_2(c_2(z0)))))))))))))))))) -> c17(0'(0(1(3(0(0(2(2(2(3(2(1(1(1(1(0(3(2(z0)))))))))))))))))), 0'(1(3(0(0(2(2(2(3(2(1(1(1(1(0(3(2(z0))))))))))))))))), 1'(3(0(0(2(2(2(3(2(1(1(1(1(0(3(2(z0)))))))))))))))), 3'(0(0(2(2(2(3(2(1(1(1(1(0(3(2(z0))))))))))))))), 0'(0(2(2(2(3(2(1(1(1(1(0(3(2(z0)))))))))))))), 0'(2(2(2(3(2(1(1(1(1(0(3(2(z0))))))))))))), 2'(2(2(3(2(1(1(1(1(0(3(2(z0)))))))))))), 2'(2(3(2(1(1(1(1(0(3(2(z0))))))))))), 2'(3(2(1(1(1(1(0(3(2(z0)))))))))), 3'(2(1(1(1(1(0(3(2(z0))))))))), 2'(1(1(1(1(0(3(2(z0)))))))), 1'(1(1(1(0(3(2(z0))))))), 1'(1(1(0(3(2(z0)))))), 1'(1(0(3(2(z0))))), 1'(0(3(2(z0)))), 0'(3(2(z0))), 3'(2(z0)), 2'(z0))
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   3'(c_3(c_1(c_2(c_2(c_2(c_3(c_3(c_3(c_1(c_3(c_0(c_1(c_1(c_1(c_2(c_1(c_0(z0)))))))))))))))))) -> c86(3'(3(3(1(2(3(1(3(0(2(2(1(3(0(2(1(1(1(z0)))))))))))))))))), 3'(3(1(2(3(1(3(0(2(2(1(3(0(2(1(1(1(z0))))))))))))))))), 3'(1(2(3(1(3(0(2(2(1(3(0(2(1(1(1(z0)))))))))))))))), 1'(2(3(1(3(0(2(2(1(3(0(2(1(1(1(z0))))))))))))))), 2'(3(1(3(0(2(2(1(3(0(2(1(1(1(z0)))))))))))))), 3'(1(3(0(2(2(1(3(0(2(1(1(1(z0))))))))))))), 1'(3(0(2(2(1(3(0(2(1(1(1(z0)))))))))))), 3'(0(2(2(1(3(0(2(1(1(1(z0))))))))))), 0'(2(2(1(3(0(2(1(1(1(z0)))))))))), 2'(2(1(3(0(2(1(1(1(z0))))))))), 2'(1(3(0(2(1(1(1(z0)))))))), 1'(3(0(2(1(1(1(z0))))))), 3'(0(2(1(1(1(z0)))))), 0'(2(1(1(1(z0))))), 2'(1(1(1(z0)))), 1'(1(1(z0))), 1'(1(z0)), 1'(z0))
   3'(c_1(c_1(c_0(c_3(c_0(c_1(c_1(c_3(c_2(c_1(c_2(c_3(c_3(c_1(c_3(c_3(c_1(z0)))))))))))))))))) -> c87(3'(1(3(2(1(1(1(3(3(0(3(2(1(3(0(1(3(1(z0)))))))))))))))))), 1'(3(2(1(1(1(3(3(0(3(2(1(3(0(1(3(1(z0))))))))))))))))), 3'(2(1(1(1(3(3(0(3(2(1(3(0(1(3(1(z0)))))))))))))))), 2'(1(1(1(3(3(0(3(2(1(3(0(1(3(1(z0))))))))))))))), 1'(1(1(3(3(0(3(2(1(3(0(1(3(1(z0)))))))))))))), 1'(1(3(3(0(3(2(1(3(0(1(3(1(z0))))))))))))), 1'(3(3(0(3(2(1(3(0(1(3(1(z0)))))))))))), 3'(3(0(3(2(1(3(0(1(3(1(z0))))))))))), 3'(0(3(2(1(3(0(1(3(1(z0)))))))))), 0'(3(2(1(3(0(1(3(1(z0))))))))), 3'(2(1(3(0(1(3(1(z0)))))))), 2'(1(3(0(1(3(1(z0))))))), 1'(3(0(1(3(1(z0)))))), 3'(0(1(3(1(z0))))), 0'(1(3(1(z0)))), 1'(3(1(z0))), 3'(1(z0)), 1'(z0))
   3'(c_3(c_0(c_1(c_0(c_3(c_2(c_0(c_1(c_1(c_1(c_1(c_3(c_1(c_2(c_3(c_3(c_3(z0)))))))))))))))))) -> c88(3'(2(3(1(1(1(0(3(3(0(2(1(3(0(1(3(1(3(z0)))))))))))))))))), 2'(3(1(1(1(0(3(3(0(2(1(3(0(1(3(1(3(z0))))))))))))))))), 3'(1(1(1(0(3(3(0(2(1(3(0(1(3(1(3(z0)))))))))))))))), 1'(1(1(0(3(3(0(2(1(3(0(1(3(1(3(z0))))))))))))))), 1'(1(0(3(3(0(2(1(3(0(1(3(1(3(z0)))))))))))))), 1'(0(3(3(0(2(1(3(0(1(3(1(3(z0))))))))))))), 0'(3(3(0(2(1(3(0(1(3(1(3(z0)))))))))))), 3'(3(0(2(1(3(0(1(3(1(3(z0))))))))))), 3'(0(2(1(3(0(1(3(1(3(z0)))))))))), 0'(2(1(3(0(1(3(1(3(z0))))))))), 2'(1(3(0(1(3(1(3(z0)))))))), 1'(3(0(1(3(1(3(z0))))))), 3'(0(1(3(1(3(z0)))))), 0'(1(3(1(3(z0))))), 1'(3(1(3(z0)))), 3'(1(3(z0))), 1'(3(z0)), 3'(z0))
   3'(c_3(c_1(c_0(c_3(c_2(c_3(c_0(c_3(c_1(c_0(c_2(c_0(c_3(c_0(c_2(c_2(c_0(z0)))))))))))))))))) -> c89(3'(3(3(2(0(3(0(3(0(1(0(0(1(3(0(2(2(2(z0)))))))))))))))))), 3'(3(2(0(3(0(3(0(1(0(0(1(3(0(2(2(2(z0))))))))))))))))), 3'(2(0(3(0(3(0(1(0(0(1(3(0(2(2(2(z0)))))))))))))))), 2'(0(3(0(3(0(1(0(0(1(3(0(2(2(2(z0))))))))))))))), 0'(3(0(3(0(1(0(0(1(3(0(2(2(2(z0)))))))))))))), 3'(0(3(0(1(0(0(1(3(0(2(2(2(z0))))))))))))), 0'(3(0(1(0(0(1(3(0(2(2(2(z0)))))))))))), 3'(0(1(0(0(1(3(0(2(2(2(z0))))))))))), 0'(1(0(0(1(3(0(2(2(2(z0)))))))))), 1'(0(0(1(3(0(2(2(2(z0))))))))), 0'(0(1(3(0(2(2(2(z0)))))))), 0'(1(3(0(2(2(2(z0))))))), 1'(3(0(2(2(2(z0)))))), 3'(0(2(2(2(z0))))), 0'(2(2(2(z0)))), 2'(2(2(z0))), 2'(2(z0)), 2'(z0))
   3'(c_1(c_2(c_0(c_3(c_2(c_2(c_3(c_2(c_0(c_3(c_3(c_2(c_3(c_3(c_1(c_1(c_3(z0)))))))))))))))))) -> c90(3'(2(2(3(1(3(3(2(1(3(3(0(2(0(2(3(1(3(z0)))))))))))))))))), 2'(2(3(1(3(3(2(1(3(3(0(2(0(2(3(1(3(z0))))))))))))))))), 2'(3(1(3(3(2(1(3(3(0(2(0(2(3(1(3(z0)))))))))))))))), 3'(1(3(3(2(1(3(3(0(2(0(2(3(1(3(z0))))))))))))))), 1'(3(3(2(1(3(3(0(2(0(2(3(1(3(z0)))))))))))))), 3'(3(2(1(3(3(0(2(0(2(3(1(3(z0))))))))))))), 3'(2(1(3(3(0(2(0(2(3(1(3(z0)))))))))))), 2'(1(3(3(0(2(0(2(3(1(3(z0))))))))))), 1'(3(3(0(2(0(2(3(1(3(z0)))))))))), 3'(3(0(2(0(2(3(1(3(z0))))))))), 3'(0(2(0(2(3(1(3(z0)))))))), 0'(2(0(2(3(1(3(z0))))))), 2'(0(2(3(1(3(z0)))))), 0'(2(3(1(3(z0))))), 2'(3(1(3(z0)))), 3'(1(3(z0))), 1'(3(z0)), 3'(z0))
   3'(c_2(c_0(c_1(c_2(c_1(c_0(c_3(c_3(c_3(c_3(c_1(c_2(c_1(c_1(c_0(c_1(c_0(z0)))))))))))))))))) -> c91(3'(0(0(2(1(3(2(3(3(1(1(3(1(1(0(2(0(1(z0)))))))))))))))))), 0'(0(2(1(3(2(3(3(1(1(3(1(1(0(2(0(1(z0))))))))))))))))), 0'(2(1(3(2(3(3(1(1(3(1(1(0(2(0(1(z0)))))))))))))))), 2'(1(3(2(3(3(1(1(3(1(1(0(2(0(1(z0))))))))))))))), 1'(3(2(3(3(1(1(3(1(1(0(2(0(1(z0)))))))))))))), 3'(2(3(3(1(1(3(1(1(0(2(0(1(z0))))))))))))), 2'(3(3(1(1(3(1(1(0(2(0(1(z0)))))))))))), 3'(3(1(1(3(1(1(0(2(0(1(z0))))))))))), 3'(1(1(3(1(1(0(2(0(1(z0)))))))))), 1'(1(3(1(1(0(2(0(1(z0))))))))), 1'(3(1(1(0(2(0(1(z0)))))))), 3'(1(1(0(2(0(1(z0))))))), 1'(1(0(2(0(1(z0)))))), 1'(0(2(0(1(z0))))), 0'(2(0(1(z0)))), 2'(0(1(z0))), 0'(1(z0)), 1'(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_2_1, ENCODE_1_1, ENCODE_3_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, c21_18, c22_18, c23_18, c24_18, c25_18, c26_18, c27_18, c28_18, c29_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, c43_18, c44_18, c45_18, c46_18, c47_18, c48_18, c49_18, c50_18, c51_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_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, 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_2(c_3(c_0(c_1(c_2(c_3(c_2(c_0(c_3(c_1(c_0(c_0(c_0(c_3(c_3(c_0(c_3(z0)))))))))))))))))) -> c9(0'(2(1(3(0(0(3(3(0(1(0(2(2(3(3(0(0(3(z0)))))))))))))))))), 2'(1(3(0(0(3(3(0(1(0(2(2(3(3(0(0(3(z0))))))))))))))))), 1'(3(0(0(3(3(0(1(0(2(2(3(3(0(0(3(z0)))))))))))))))), 3'(0(0(3(3(0(1(0(2(2(3(3(0(0(3(z0))))))))))))))), 0'(0(3(3(0(1(0(2(2(3(3(0(0(3(z0)))))))))))))), 0'(3(3(0(1(0(2(2(3(3(0(0(3(z0))))))))))))), 3'(3(0(1(0(2(2(3(3(0(0(3(z0)))))))))))), 3'(0(1(0(2(2(3(3(0(0(3(z0))))))))))), 0'(1(0(2(2(3(3(0(0(3(z0)))))))))), 1'(0(2(2(3(3(0(0(3(z0))))))))), 0'(2(2(3(3(0(0(3(z0)))))))), 2'(2(3(3(0(0(3(z0))))))), 2'(3(3(0(0(3(z0)))))), 3'(3(0(0(3(z0))))), 3'(0(0(3(z0)))), 0'(0(3(z0))), 0'(3(z0)), 3'(z0)) by 
   0'(c_2(c_3(c_0(c_1(c_2(c_3(c_2(c_0(c_3(c_1(c_0(c_0(c_0(c_3(c_3(c_0(c_3(x0)))))))))))))))))) -> c9(0'(c_2(1(3(0(0(3(3(0(1(0(2(2(3(3(0(0(3(x0)))))))))))))))))), 2'(1(3(0(0(3(3(0(1(0(2(2(3(3(0(0(3(x0))))))))))))))))), 1'(3(0(0(3(3(0(1(0(2(2(3(3(0(0(3(x0)))))))))))))))), 3'(0(0(3(3(0(1(0(2(2(3(3(0(0(3(x0))))))))))))))), 0'(0(3(3(0(1(0(2(2(3(3(0(0(3(x0)))))))))))))), 0'(3(3(0(1(0(2(2(3(3(0(0(3(x0))))))))))))), 3'(3(0(1(0(2(2(3(3(0(0(3(x0)))))))))))), 3'(0(1(0(2(2(3(3(0(0(3(x0))))))))))), 0'(1(0(2(2(3(3(0(0(3(x0)))))))))), 1'(0(2(2(3(3(0(0(3(x0))))))))), 0'(2(2(3(3(0(0(3(x0)))))))), 2'(2(3(3(0(0(3(x0))))))), 2'(3(3(0(0(3(x0)))))), 3'(3(0(0(3(x0))))), 3'(0(0(3(x0)))), 0'(0(3(x0))), 0'(3(x0)), 3'(x0))
   0'(c_2(c_3(c_0(c_1(c_2(c_3(c_2(c_0(c_3(c_1(c_0(c_0(c_0(c_3(c_3(c_0(c_3(x0)))))))))))))))))) -> c9(0'(2(c_1(3(0(0(3(3(0(1(0(2(2(3(3(0(0(3(x0)))))))))))))))))), 2'(1(3(0(0(3(3(0(1(0(2(2(3(3(0(0(3(x0))))))))))))))))), 1'(3(0(0(3(3(0(1(0(2(2(3(3(0(0(3(x0)))))))))))))))), 3'(0(0(3(3(0(1(0(2(2(3(3(0(0(3(x0))))))))))))))), 0'(0(3(3(0(1(0(2(2(3(3(0(0(3(x0)))))))))))))), 0'(3(3(0(1(0(2(2(3(3(0(0(3(x0))))))))))))), 3'(3(0(1(0(2(2(3(3(0(0(3(x0)))))))))))), 3'(0(1(0(2(2(3(3(0(0(3(x0))))))))))), 0'(1(0(2(2(3(3(0(0(3(x0)))))))))), 1'(0(2(2(3(3(0(0(3(x0))))))))), 0'(2(2(3(3(0(0(3(x0)))))))), 2'(2(3(3(0(0(3(x0))))))), 2'(3(3(0(0(3(x0)))))), 3'(3(0(0(3(x0))))), 3'(0(0(3(x0)))), 0'(0(3(x0))), 0'(3(x0)), 3'(x0))
   0'(c_2(c_3(c_0(c_1(c_2(c_3(c_2(c_0(c_3(c_1(c_0(c_0(c_0(c_3(c_3(c_0(c_3(x0)))))))))))))))))) -> c9(0'(2(1(c_3(0(0(3(3(0(1(0(2(2(3(3(0(0(3(x0)))))))))))))))))), 2'(1(3(0(0(3(3(0(1(0(2(2(3(3(0(0(3(x0))))))))))))))))), 1'(3(0(0(3(3(0(1(0(2(2(3(3(0(0(3(x0)))))))))))))))), 3'(0(0(3(3(0(1(0(2(2(3(3(0(0(3(x0))))))))))))))), 0'(0(3(3(0(1(0(2(2(3(3(0(0(3(x0)))))))))))))), 0'(3(3(0(1(0(2(2(3(3(0(0(3(x0))))))))))))), 3'(3(0(1(0(2(2(3(3(0(0(3(x0)))))))))))), 3'(0(1(0(2(2(3(3(0(0(3(x0))))))))))), 0'(1(0(2(2(3(3(0(0(3(x0)))))))))), 1'(0(2(2(3(3(0(0(3(x0))))))))), 0'(2(2(3(3(0(0(3(x0)))))))), 2'(2(3(3(0(0(3(x0))))))), 2'(3(3(0(0(3(x0)))))), 3'(3(0(0(3(x0))))), 3'(0(0(3(x0)))), 0'(0(3(x0))), 0'(3(x0)), 3'(x0))
   0'(c_2(c_3(c_0(c_1(c_2(c_3(c_2(c_0(c_3(c_1(c_0(c_0(c_0(c_3(c_3(c_0(c_3(x0)))))))))))))))))) -> c9(0'(2(1(3(c_0(0(3(3(0(1(0(2(2(3(3(0(0(3(x0)))))))))))))))))), 2'(1(3(0(0(3(3(0(1(0(2(2(3(3(0(0(3(x0))))))))))))))))), 1'(3(0(0(3(3(0(1(0(2(2(3(3(0(0(3(x0)))))))))))))))), 3'(0(0(3(3(0(1(0(2(2(3(3(0(0(3(x0))))))))))))))), 0'(0(3(3(0(1(0(2(2(3(3(0(0(3(x0)))))))))))))), 0'(3(3(0(1(0(2(2(3(3(0(0(3(x0))))))))))))), 3'(3(0(1(0(2(2(3(3(0(0(3(x0)))))))))))), 3'(0(1(0(2(2(3(3(0(0(3(x0))))))))))), 0'(1(0(2(2(3(3(0(0(3(x0)))))))))), 1'(0(2(2(3(3(0(0(3(x0))))))))), 0'(2(2(3(3(0(0(3(x0)))))))), 2'(2(3(3(0(0(3(x0))))))), 2'(3(3(0(0(3(x0)))))), 3'(3(0(0(3(x0))))), 3'(0(0(3(x0)))), 0'(0(3(x0))), 0'(3(x0)), 3'(x0))
   0'(c_2(c_3(c_0(c_1(c_2(c_3(c_2(c_0(c_3(c_1(c_0(c_0(c_0(c_3(c_3(c_0(c_3(x0)))))))))))))))))) -> c9(0'(2(1(3(0(c_0(3(3(0(1(0(2(2(3(3(0(0(3(x0)))))))))))))))))), 2'(1(3(0(0(3(3(0(1(0(2(2(3(3(0(0(3(x0))))))))))))))))), 1'(3(0(0(3(3(0(1(0(2(2(3(3(0(0(3(x0)))))))))))))))), 3'(0(0(3(3(0(1(0(2(2(3(3(0(0(3(x0))))))))))))))), 0'(0(3(3(0(1(0(2(2(3(3(0(0(3(x0)))))))))))))), 0'(3(3(0(1(0(2(2(3(3(0(0(3(x0))))))))))))), 3'(3(0(1(0(2(2(3(3(0(0(3(x0)))))))))))), 3'(0(1(0(2(2(3(3(0(0(3(x0))))))))))), 0'(1(0(2(2(3(3(0(0(3(x0)))))))))), 1'(0(2(2(3(3(0(0(3(x0))))))))), 0'(2(2(3(3(0(0(3(x0)))))))), 2'(2(3(3(0(0(3(x0))))))), 2'(3(3(0(0(3(x0)))))), 3'(3(0(0(3(x0))))), 3'(0(0(3(x0)))), 0'(0(3(x0))), 0'(3(x0)), 3'(x0))
   0'(c_2(c_3(c_0(c_1(c_2(c_3(c_2(c_0(c_3(c_1(c_0(c_0(c_0(c_3(c_3(c_0(c_3(x0)))))))))))))))))) -> c9(0'(2(1(3(0(0(c_3(3(0(1(0(2(2(3(3(0(0(3(x0)))))))))))))))))), 2'(1(3(0(0(3(3(0(1(0(2(2(3(3(0(0(3(x0))))))))))))))))), 1'(3(0(0(3(3(0(1(0(2(2(3(3(0(0(3(x0)))))))))))))))), 3'(0(0(3(3(0(1(0(2(2(3(3(0(0(3(x0))))))))))))))), 0'(0(3(3(0(1(0(2(2(3(3(0(0(3(x0)))))))))))))), 0'(3(3(0(1(0(2(2(3(3(0(0(3(x0))))))))))))), 3'(3(0(1(0(2(2(3(3(0(0(3(x0)))))))))))), 3'(0(1(0(2(2(3(3(0(0(3(x0))))))))))), 0'(1(0(2(2(3(3(0(0(3(x0)))))))))), 1'(0(2(2(3(3(0(0(3(x0))))))))), 0'(2(2(3(3(0(0(3(x0)))))))), 2'(2(3(3(0(0(3(x0))))))), 2'(3(3(0(0(3(x0)))))), 3'(3(0(0(3(x0))))), 3'(0(0(3(x0)))), 0'(0(3(x0))), 0'(3(x0)), 3'(x0))
   0'(c_2(c_3(c_0(c_1(c_2(c_3(c_2(c_0(c_3(c_1(c_0(c_0(c_0(c_3(c_3(c_0(c_3(x0)))))))))))))))))) -> c9(0'(2(1(3(0(0(3(c_3(0(1(0(2(2(3(3(0(0(3(x0)))))))))))))))))), 2'(1(3(0(0(3(3(0(1(0(2(2(3(3(0(0(3(x0))))))))))))))))), 1'(3(0(0(3(3(0(1(0(2(2(3(3(0(0(3(x0)))))))))))))))), 3'(0(0(3(3(0(1(0(2(2(3(3(0(0(3(x0))))))))))))))), 0'(0(3(3(0(1(0(2(2(3(3(0(0(3(x0)))))))))))))), 0'(3(3(0(1(0(2(2(3(3(0(0(3(x0))))))))))))), 3'(3(0(1(0(2(2(3(3(0(0(3(x0)))))))))))), 3'(0(1(0(2(2(3(3(0(0(3(x0))))))))))), 0'(1(0(2(2(3(3(0(0(3(x0)))))))))), 1'(0(2(2(3(3(0(0(3(x0))))))))), 0'(2(2(3(3(0(0(3(x0)))))))), 2'(2(3(3(0(0(3(x0))))))), 2'(3(3(0(0(3(x0)))))), 3'(3(0(0(3(x0))))), 3'(0(0(3(x0)))), 0'(0(3(x0))), 0'(3(x0)), 3'(x0))
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   0'(c_2(c_3(c_0(c_1(c_2(c_3(c_2(c_0(c_3(c_1(c_0(c_0(c_0(c_3(c_3(c_0(c_3(c_2(c_0(c_1(c_2(c_1(c_0(c_3(c_3(c_3(c_3(c_1(c_2(c_1(c_1(c_0(c_1(c_0(z0))))))))))))))))))))))))))))))))))) -> c9(0'(2(1(3(0(0(3(3(0(1(0(2(2(3(3(0(0(3(0(0(2(1(3(2(3(3(1(1(3(1(1(0(2(0(1(z0))))))))))))))))))))))))))))))))))), 2'(1(3(0(0(3(3(0(1(0(2(2(3(3(0(0(3(c_2(c_0(c_1(c_2(c_1(c_0(c_3(c_3(c_3(c_3(c_1(c_2(c_1(c_1(c_0(c_1(c_0(z0)))))))))))))))))))))))))))))))))), 1'(3(0(0(3(3(0(1(0(2(2(3(3(0(0(3(c_2(c_0(c_1(c_2(c_1(c_0(c_3(c_3(c_3(c_3(c_1(c_2(c_1(c_1(c_0(c_1(c_0(z0))))))))))))))))))))))))))))))))), 3'(0(0(3(3(0(1(0(2(2(3(3(0(0(3(c_2(c_0(c_1(c_2(c_1(c_0(c_3(c_3(c_3(c_3(c_1(c_2(c_1(c_1(c_0(c_1(c_0(z0)))))))))))))))))))))))))))))))), 0'(0(3(3(0(1(0(2(2(3(3(0(0(3(c_2(c_0(c_1(c_2(c_1(c_0(c_3(c_3(c_3(c_3(c_1(c_2(c_1(c_1(c_0(c_1(c_0(z0))))))))))))))))))))))))))))))), 0'(3(3(0(1(0(2(2(3(3(0(0(3(c_2(c_0(c_1(c_2(c_1(c_0(c_3(c_3(c_3(c_3(c_1(c_2(c_1(c_1(c_0(c_1(c_0(z0)))))))))))))))))))))))))))))), 3'(3(0(1(0(2(2(3(3(0(0(3(c_2(c_0(c_1(c_2(c_1(c_0(c_3(c_3(c_3(c_3(c_1(c_2(c_1(c_1(c_0(c_1(c_0(z0))))))))))))))))))))))))))))), 3'(0(1(0(2(2(3(3(0(0(3(c_2(c_0(c_1(c_2(c_1(c_0(c_3(c_3(c_3(c_3(c_1(c_2(c_1(c_1(c_0(c_1(c_0(z0)))))))))))))))))))))))))))), 0'(1(0(2(2(3(3(0(0(3(c_2(c_0(c_1(c_2(c_1(c_0(c_3(c_3(c_3(c_3(c_1(c_2(c_1(c_1(c_0(c_1(c_0(z0))))))))))))))))))))))))))), 1'(0(2(2(3(3(0(0(3(c_2(c_0(c_1(c_2(c_1(c_0(c_3(c_3(c_3(c_3(c_1(c_2(c_1(c_1(c_0(c_1(c_0(z0)))))))))))))))))))))))))), 0'(2(2(3(3(0(0(3(c_2(c_0(c_1(c_2(c_1(c_0(c_3(c_3(c_3(c_3(c_1(c_2(c_1(c_1(c_0(c_1(c_0(z0))))))))))))))))))))))))), 2'(2(3(3(0(0(3(c_2(c_0(c_1(c_2(c_1(c_0(c_3(c_3(c_3(c_3(c_1(c_2(c_1(c_1(c_0(c_1(c_0(z0)))))))))))))))))))))))), 2'(3(3(0(0(3(c_2(c_0(c_1(c_2(c_1(c_0(c_3(c_3(c_3(c_3(c_1(c_2(c_1(c_1(c_0(c_1(c_0(z0))))))))))))))))))))))), 3'(3(0(0(3(c_2(c_0(c_1(c_2(c_1(c_0(c_3(c_3(c_3(c_3(c_1(c_2(c_1(c_1(c_0(c_1(c_0(z0)))))))))))))))))))))), 3'(0(0(3(c_2(c_0(c_1(c_2(c_1(c_0(c_3(c_3(c_3(c_3(c_1(c_2(c_1(c_1(c_0(c_1(c_0(z0))))))))))))))))))))), 0'(0(3(c_2(c_0(c_1(c_2(c_1(c_0(c_3(c_3(c_3(c_3(c_1(c_2(c_1(c_1(c_0(c_1(c_0(z0)))))))))))))))))))), 0'(3(c_2(c_0(c_1(c_2(c_1(c_0(c_3(c_3(c_3(c_3(c_1(c_2(c_1(c_1(c_0(c_1(c_0(z0))))))))))))))))))), 3'(c_2(c_0(c_1(c_2(c_1(c_0(c_3(c_3(c_3(c_3(c_1(c_2(c_1(c_1(c_0(c_1(c_0(z0)))))))))))))))))))

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

(56)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(cons_0(z0)) -> 0(encArg(z0))
   encArg(cons_1(z0)) -> 1(encArg(z0))
   encArg(cons_2(z0)) -> 2(encArg(z0))
   encArg(cons_3(z0)) -> 3(encArg(z0))
   0(z0) -> c_0(z0)
   0(c_2(c_3(c_0(c_1(c_2(c_3(c_2(c_0(c_3(c_1(c_0(c_0(c_0(c_3(c_3(c_0(c_3(z0)))))))))))))))))) -> 0(2(1(3(0(0(3(3(0(1(0(2(2(3(3(0(0(3(z0))))))))))))))))))
   0(c_1(c_0(c_2(c_1(c_1(c_0(c_0(c_1(c_0(c_3(c_1(c_1(c_0(c_2(c_1(c_2(c_3(z0)))))))))))))))))) -> 0(1(2(0(0(2(1(1(0(1(1(1(0(1(3(0(2(3(z0))))))))))))))))))
   0(c_1(c_0(c_3(c_2(c_0(c_0(c_0(c_3(c_3(c_0(c_2(c_2(c_2(c_2(c_1(c_1(c_1(z0)))))))))))))))))) -> 0(0(1(1(3(0(3(0(0(2(2(2(0(2(2(1(3(1(z0))))))))))))))))))
   0(c_0(c_3(c_1(c_0(c_2(c_2(c_0(c_2(c_3(c_1(c_1(c_0(c_1(c_2(c_2(c_0(c_1(z0)))))))))))))))))) -> 0(2(1(1(3(0(0(0(1(0(2(3(1(2(2(0(2(1(z0))))))))))))))))))
   0(c_3(c_2(c_0(c_3(c_1(c_0(c_1(c_0(c_3(c_0(c_3(c_0(c_0(c_3(c_0(c_0(c_0(z0)))))))))))))))))) -> 0(3(0(0(0(0(1(2(0(3(3(0(0(3(0(1(3(0(z0))))))))))))))))))
   0(c_1(c_2(c_3(c_2(c_1(c_0(c_1(c_2(c_2(c_0(c_0(c_1(c_0(c_3(c_1(c_0(c_1(z0)))))))))))))))))) -> 0(2(1(1(1(0(2(2(0(0(1(1(0(3(0(1(3(2(z0))))))))))))))))))
   0(c_2(c_1(c_0(c_3(c_0(c_3(c_0(c_3(c_2(c_0(c_1(c_0(c_1(c_2(c_2(c_1(c_1(z0)))))))))))))))))) -> 0(2(3(0(3(2(2(1(2(1(1(0(0(3(0(0(1(1(z0))))))))))))))))))
   0(c_0(c_2(c_2(c_1(c_3(c_2(c_2(c_2(c_1(c_0(c_2(c_2(c_0(c_2(c_2(c_0(c_0(z0)))))))))))))))))) -> 0(2(2(2(2(1(3(0(0(2(1(0(2(2(2(2(0(0(z0))))))))))))))))))
   0(c_3(c_1(c_1(c_2(c_3(c_0(c_3(c_0(c_1(c_0(c_1(c_2(c_2(c_1(c_0(c_2(c_2(z0)))))))))))))))))) -> 0(0(1(3(0(0(2(2(2(3(2(1(1(1(1(0(3(2(z0))))))))))))))))))
   0(c_1(c_1(c_1(c_1(c_3(c_1(c_1(c_0(c_1(c_3(c_1(c_0(c_2(c_3(c_3(c_3(c_2(z0)))))))))))))))))) -> 0(2(0(1(3(1(1(3(1(0(1(3(2(1(3(1(1(3(z0))))))))))))))))))
   0(c_3(c_0(c_1(c_0(c_3(c_0(c_1(c_1(c_1(c_2(c_0(c_0(c_0(c_3(c_2(c_1(c_0(z0)))))))))))))))))) -> 0(0(2(2(1(3(0(0(1(3(0(1(0(1(0(0(1(3(z0))))))))))))))))))
   1(z0) -> c_1(z0)
   1(c_0(c_1(c_0(c_2(c_0(c_2(c_3(c_1(c_1(c_2(c_2(c_0(c_0(c_3(c_0(c_3(c_2(z0)))))))))))))))))) -> 0(0(0(1(1(3(1(3(2(0(0(2(2(1(3(0(2(2(z0))))))))))))))))))
   1(c_2(c_0(c_0(c_2(c_1(c_3(c_2(c_2(c_3(c_2(c_2(c_0(c_3(c_2(c_3(c_2(c_2(z0)))))))))))))))))) -> 1(2(0(3(2(2(2(2(3(0(0(2(2(2(3(1(3(2(z0))))))))))))))))))
   1(c_0(c_2(c_3(c_3(c_3(c_1(c_0(c_2(c_0(c_1(c_2(c_2(c_3(c_2(c_1(c_0(c_1(z0)))))))))))))))))) -> 2(3(2(1(0(1(3(1(3(0(2(3(0(2(0(1(2(1(z0))))))))))))))))))
   1(c_1(c_1(c_2(c_1(c_1(c_1(c_2(c_1(c_3(c_1(c_0(c_1(c_2(c_1(c_2(c_3(c_1(z0)))))))))))))))))) -> 1(1(1(1(1(1(3(0(2(2(1(1(1(2(3(1(2(1(z0))))))))))))))))))
   1(c_1(c_0(c_3(c_1(c_0(c_2(c_3(c_1(c_1(c_0(c_3(c_3(c_0(c_3(c_1(c_1(c_1(z0)))))))))))))))))) -> 1(1(3(1(3(2(3(0(1(0(3(0(1(3(1(0(1(1(z0))))))))))))))))))
   1(c_3(c_2(c_2(c_1(c_0(c_1(c_2(c_1(c_0(c_3(c_1(c_0(c_3(c_2(c_3(c_0(c_3(z0)))))))))))))))))) -> 3(1(3(2(1(1(0(0(2(0(0(3(1(3(2(2(1(3(z0))))))))))))))))))
   1(c_2(c_1(c_2(c_1(c_2(c_0(c_1(c_0(c_1(c_3(c_1(c_0(c_0(c_0(c_1(c_3(c_3(z0)))))))))))))))))) -> 1(1(2(2(1(0(1(3(0(1(1(3(0(2(1(3(0(0(z0))))))))))))))))))
   1(c_2(c_0(c_1(c_2(c_1(c_0(c_2(c_0(c_0(c_3(c_1(c_0(c_2(c_0(c_3(c_2(c_2(z0)))))))))))))))))) -> 1(1(0(0(0(2(1(0(2(0(3(2(2(1(0(2(3(2(z0))))))))))))))))))
   1(c_3(c_1(c_1(c_0(c_1(c_2(c_1(c_1(c_1(c_0(c_3(c_1(c_1(c_0(c_2(c_3(c_1(z0)))))))))))))))))) -> 1(1(3(2(1(3(1(1(0(0(1(3(2(1(0(1(1(1(z0))))))))))))))))))
   1(c_3(c_1(c_3(c_2(c_0(c_1(c_3(c_1(c_1(c_3(c_2(c_3(c_3(c_3(c_3(c_0(c_1(z0)))))))))))))))))) -> 1(3(3(3(1(2(3(1(3(0(2(1(1(3(0(3(3(1(z0))))))))))))))))))
   1(c_0(c_0(c_0(c_1(c_2(c_3(c_3(c_2(c_2(c_1(c_0(c_2(c_3(c_3(c_2(c_0(c_3(z0)))))))))))))))))) -> 3(0(2(1(1(3(3(1(0(0(2(0(2(2(3(2(0(3(z0))))))))))))))))))
   1(c_1(c_0(c_0(c_1(c_2(c_1(c_2(c_2(c_0(c_3(c_1(c_2(c_3(c_2(c_0(c_0(c_3(z0)))))))))))))))))) -> 1(2(2(0(2(1(0(2(1(0(0(2(3(0(1(1(3(3(z0))))))))))))))))))
   1(c_2(c_0(c_2(c_0(c_0(c_0(c_3(c_0(c_1(c_0(c_1(c_1(c_0(c_3(c_1(c_0(c_3(z0)))))))))))))))))) -> 1(3(0(3(1(1(0(1(1(0(0(0(2(2(3(0(0(0(z0))))))))))))))))))
   1(c_1(c_0(c_3(c_1(c_0(c_3(c_3(c_3(c_1(c_1(c_2(c_2(c_2(c_2(c_0(c_1(c_2(z0)))))))))))))))))) -> 2(1(1(0(0(1(1(2(3(3(3(0(1(2(3(2(1(2(z0))))))))))))))))))
   1(c_3(c_3(c_0(c_0(c_3(c_3(c_1(c_0(c_0(c_2(c_3(c_3(c_1(c_3(c_2(c_3(c_1(z0)))))))))))))))))) -> 1(3(0(0(1(3(0(1(3(3(2(2(3(3(3(3(0(1(z0))))))))))))))))))
   1(c_2(c_3(c_3(c_2(c_1(c_0(c_3(c_2(c_2(c_1(c_0(c_3(c_1(c_0(c_0(c_0(c_0(z0)))))))))))))))))) -> 0(3(0(1(2(1(3(0(1(0(2(1(2(3(3(0(2(0(z0))))))))))))))))))
   1(c_0(c_3(c_0(c_3(c_1(c_0(c_3(c_3(c_1(c_2(c_1(c_3(c_2(c_0(c_2(c_1(c_0(z0)))))))))))))))))) -> 2(2(1(3(0(0(1(3(1(0(2(0(0(3(3(3(1(1(z0))))))))))))))))))
   1(c_2(c_3(c_0(c_3(c_2(c_0(c_2(c_0(c_2(c_0(c_3(c_2(c_0(c_2(c_2(c_0(c_0(z0)))))))))))))))))) -> 1(2(2(2(0(3(3(0(0(2(0(0(0(2(2(2(3(0(z0))))))))))))))))))
   1(c_1(c_3(c_2(c_0(c_2(c_3(c_1(c_0(c_1(c_0(c_2(c_3(c_3(c_2(c_2(c_0(c_0(z0)))))))))))))))))) -> 2(0(2(3(2(0(2(0(1(2(1(3(0(1(3(0(1(3(z0))))))))))))))))))
   1(c_0(c_3(c_3(c_1(c_0(c_3(c_3(c_3(c_1(c_1(c_3(c_2(c_0(c_0(c_1(c_3(c_1(z0)))))))))))))))))) -> 1(3(3(0(1(3(3(0(1(3(3(0(1(3(2(1(0(1(z0))))))))))))))))))
   1(c_2(c_1(c_3(c_2(c_3(c_3(c_1(c_1(c_1(c_0(c_1(c_0(c_0(c_3(c_2(c_0(c_3(z0)))))))))))))))))) -> 1(3(3(2(3(0(2(1(3(1(1(3(1(2(1(0(0(0(z0))))))))))))))))))
   1(c_2(c_1(c_0(c_3(c_1(c_3(c_3(c_2(c_2(c_2(c_2(c_0(c_0(c_3(c_1(c_0(c_1(z0)))))))))))))))))) -> 3(1(2(0(1(3(2(3(2(2(0(0(0(2(3(1(1(1(z0))))))))))))))))))
   1(c_2(c_3(c_3(c_1(c_2(c_2(c_2(c_1(c_0(c_1(c_2(c_0(c_1(c_3(c_2(c_0(c_1(z0)))))))))))))))))) -> 3(3(0(0(2(0(2(2(1(1(1(3(1(2(2(1(2(1(z0))))))))))))))))))
   1(c_0(c_1(c_3(c_2(c_2(c_3(c_2(c_0(c_0(c_1(c_0(c_3(c_2(c_3(c_2(c_3(c_3(z0)))))))))))))))))) -> 1(3(3(1(2(2(0(3(0(0(1(3(0(2(2(3(2(3(z0))))))))))))))))))
   1(c_1(c_1(c_3(c_1(c_3(c_1(c_0(c_3(c_2(c_1(c_3(c_2(c_1(c_0(c_3(c_0(c_3(z0)))))))))))))))))) -> 1(2(2(3(0(1(3(1(1(3(0(0(1(3(1(1(3(3(z0))))))))))))))))))
   1(c_3(c_3(c_0(c_1(c_1(c_3(c_2(c_2(c_1(c_1(c_0(c_3(c_1(c_2(c_1(c_0(c_0(z0)))))))))))))))))) -> 1(3(1(1(0(0(1(1(2(1(3(0(2(3(1(0(2(3(z0))))))))))))))))))
   1(c_1(c_1(c_1(c_0(c_1(c_3(c_2(c_1(c_1(c_2(c_2(c_0(c_2(c_2(c_3(c_0(c_2(z0)))))))))))))))))) -> 1(1(1(2(3(0(2(2(1(1(1(2(3(0(1(2(0(2(z0))))))))))))))))))
   1(c_1(c_3(c_3(c_2(c_1(c_3(c_3(c_2(c_0(c_1(c_3(c_3(c_3(c_0(c_3(c_2(c_1(z0)))))))))))))))))) -> 1(3(1(3(0(3(3(3(1(3(3(2(3(1(2(0(2(1(z0))))))))))))))))))
   1(c_0(c_2(c_3(c_1(c_2(c_3(c_1(c_2(c_3(c_2(c_3(c_2(c_1(c_2(c_2(c_2(c_2(z0)))))))))))))))))) -> 2(3(2(2(3(0(2(1(3(2(2(1(1(1(3(2(2(2(z0))))))))))))))))))
   1(c_3(c_3(c_2(c_2(c_1(c_0(c_3(c_2(c_1(c_1(c_1(c_2(c_3(c_1(c_0(c_1(c_0(z0)))))))))))))))))) -> 2(0(1(2(1(2(1(3(1(1(3(0(3(2(1(3(0(1(z0))))))))))))))))))
   1(c_2(c_3(c_1(c_1(c_0(c_0(c_3(c_3(c_0(c_2(c_1(c_3(c_3(c_0(c_3(c_2(c_3(z0)))))))))))))))))) -> 3(1(3(0(2(3(3(1(3(0(2(1(2(0(0(1(3(3(z0))))))))))))))))))
   2(z0) -> c_2(z0)
   2(c_2(c_2(c_2(c_1(c_1(c_0(c_1(c_1(c_2(c_2(c_0(c_0(c_1(c_2(c_2(c_1(c_1(z0)))))))))))))))))) -> 0(2(1(2(0(2(0(2(2(1(2(2(2(1(1(1(1(1(z0))))))))))))))))))
   2(c_0(c_1(c_3(c_3(c_3(c_3(c_3(c_1(c_1(c_3(c_2(c_0(c_1(c_0(c_0(c_1(c_0(z0)))))))))))))))))) -> 1(3(0(2(1(1(3(0(2(3(0(0(3(1(3(3(1(0(z0))))))))))))))))))
   2(c_3(c_2(c_1(c_0(c_0(c_0(c_2(c_3(c_2(c_3(c_0(c_3(c_0(c_2(c_1(c_1(c_2(z0)))))))))))))))))) -> 2(2(3(0(3(0(2(1(0(2(2(0(1(3(1(3(0(2(z0))))))))))))))))))
   2(c_1(c_2(c_2(c_3(c_2(c_3(c_0(c_1(c_3(c_2(c_1(c_1(c_3(c_3(c_2(c_2(c_2(z0)))))))))))))))))) -> 2(1(1(1(3(2(3(2(2(3(0(2(3(2(1(3(2(2(z0))))))))))))))))))
   2(c_1(c_2(c_2(c_2(c_0(c_2(c_1(c_2(c_3(c_0(c_0(c_3(c_1(c_2(c_2(c_1(c_3(z0)))))))))))))))))) -> 0(2(0(2(1(3(2(2(1(3(2(2(1(3(0(2(1(2(z0))))))))))))))))))
   2(c_0(c_3(c_0(c_3(c_2(c_3(c_2(c_1(c_0(c_1(c_2(c_2(c_0(c_0(c_0(c_1(c_2(z0)))))))))))))))))) -> 0(2(2(1(2(0(1(2(0(3(0(0(2(1(3(0(3(2(z0))))))))))))))))))
   2(c_3(c_0(c_2(c_0(c_3(c_2(c_0(c_2(c_3(c_2(c_1(c_2(c_2(c_2(c_3(c_0(c_3(z0)))))))))))))))))) -> 2(3(2(3(3(0(0(2(2(2(1(3(2(0(2(3(2(0(z0))))))))))))))))))
   2(c_3(c_1(c_0(c_1(c_0(c_1(c_2(c_1(c_0(c_3(c_1(c_0(c_3(c_1(c_2(c_2(c_3(z0)))))))))))))))))) -> 2(1(2(1(1(0(1(0(2(3(0(0(3(3(3(1(1(2(z0))))))))))))))))))
   2(c_1(c_0(c_1(c_1(c_3(c_3(c_0(c_1(c_0(c_1(c_2(c_3(c_3(c_0(c_3(c_2(c_2(z0)))))))))))))))))) -> 0(3(3(1(3(3(0(2(1(1(3(1(0(2(1(2(0(2(z0))))))))))))))))))
   2(c_3(c_1(c_1(c_0(c_3(c_1(c_2(c_1(c_0(c_1(c_3(c_2(c_0(c_1(c_2(c_1(c_1(z0)))))))))))))))))) -> 2(3(2(0(1(1(1(3(2(1(1(3(0(0(1(1(2(1(z0))))))))))))))))))
   2(c_1(c_2(c_2(c_2(c_1(c_3(c_2(c_0(c_0(c_2(c_3(c_2(c_3(c_3(c_3(c_0(c_3(z0)))))))))))))))))) -> 2(3(3(1(3(2(0(3(2(1(3(0(2(2(2(2(3(0(z0))))))))))))))))))
   2(c_2(c_1(c_2(c_3(c_2(c_0(c_2(c_0(c_3(c_1(c_0(c_1(c_1(c_0(c_1(c_3(c_3(z0)))))))))))))))))) -> 2(2(0(1(2(0(1(2(3(1(0(2(0(1(3(1(3(3(z0))))))))))))))))))
   2(c_1(c_1(c_1(c_0(c_2(c_2(c_2(c_1(c_0(c_2(c_0(c_0(c_2(c_2(c_2(c_2(c_1(z0)))))))))))))))))) -> 2(2(2(2(1(1(2(0(1(0(0(0(2(1(2(2(2(1(z0))))))))))))))))))
   2(c_3(c_2(c_2(c_2(c_3(c_0(c_3(c_1(c_0(c_3(c_2(c_1(c_1(c_2(c_0(c_2(c_3(z0)))))))))))))))))) -> 2(2(1(1(0(1(2(3(3(0(3(3(2(2(2(0(2(3(z0))))))))))))))))))
   2(c_2(c_3(c_1(c_2(c_3(c_0(c_3(c_1(c_1(c_1(c_0(c_1(c_1(c_0(c_1(c_3(c_1(z0)))))))))))))))))) -> 2(3(1(1(2(0(1(3(1(1(0(1(1(3(1(3(0(2(z0))))))))))))))))))
   2(c_2(c_0(c_3(c_1(c_2(c_0(c_3(c_1(c_2(c_1(c_3(c_0(c_1(c_0(c_3(c_0(c_0(z0)))))))))))))))))) -> 2(3(2(2(1(3(0(3(0(1(3(0(0(0(1(1(2(0(z0))))))))))))))))))
   2(c_2(c_3(c_3(c_1(c_3(c_1(c_1(c_0(c_1(c_2(c_2(c_0(c_3(c_2(c_0(c_3(c_3(z0)))))))))))))))))) -> 2(2(3(1(3(2(1(3(3(1(0(0(2(3(3(1(0(2(z0))))))))))))))))))
   2(c_1(c_3(c_3(c_3(c_1(c_2(c_1(c_2(c_1(c_0(c_0(c_3(c_1(c_3(c_2(c_0(c_0(z0)))))))))))))))))) -> 2(1(3(0(1(3(1(0(2(2(0(0(1(3(1(3(2(3(z0))))))))))))))))))
   2(c_2(c_1(c_0(c_1(c_2(c_0(c_0(c_3(c_0(c_2(c_1(c_1(c_2(c_1(c_2(c_1(c_2(z0)))))))))))))))))) -> 2(2(1(0(3(2(1(1(1(0(0(2(0(1(2(2(1(2(z0))))))))))))))))))
   2(c_3(c_3(c_2(c_3(c_1(c_0(c_1(c_1(c_1(c_3(c_1(c_0(c_1(c_0(c_3(c_2(c_0(z0)))))))))))))))))) -> 2(1(0(0(1(2(3(1(1(3(3(3(1(1(3(2(0(0(z0))))))))))))))))))
   2(c_0(c_1(c_0(c_2(c_2(c_2(c_2(c_0(c_3(c_2(c_3(c_1(c_2(c_3(c_0(c_3(c_2(z0)))))))))))))))))) -> 2(0(2(0(2(2(3(0(3(3(1(3(0(1(2(2(2(2(z0))))))))))))))))))
   2(c_1(c_2(c_3(c_3(c_3(c_0(c_2(c_0(c_0(c_2(c_2(c_1(c_0(c_2(c_0(c_2(c_0(z0)))))))))))))))))) -> 0(3(0(2(2(2(1(3(0(0(1(3(0(0(2(2(2(2(z0))))))))))))))))))
   2(c_2(c_0(c_0(c_2(c_1(c_1(c_2(c_1(c_2(c_0(c_1(c_2(c_2(c_2(c_2(c_2(c_2(z0)))))))))))))))))) -> 2(2(2(2(1(1(0(2(1(1(2(2(0(2(0(2(2(2(z0))))))))))))))))))
   2(c_2(c_1(c_1(c_3(c_1(c_0(c_0(c_1(c_2(c_3(c_2(c_3(c_1(c_0(c_1(c_1(c_0(z0)))))))))))))))))) -> 0(1(2(2(3(1(0(2(1(3(2(1(1(3(0(1(1(0(z0))))))))))))))))))
   2(c_3(c_1(c_0(c_2(c_3(c_1(c_0(c_0(c_1(c_0(c_1(c_0(c_1(c_2(c_2(c_1(c_0(z0)))))))))))))))))) -> 2(0(3(1(0(1(0(1(2(0(2(2(1(3(0(0(1(1(z0))))))))))))))))))
   2(c_0(c_0(c_3(c_1(c_2(c_3(c_2(c_0(c_2(c_3(c_0(c_1(c_2(c_2(c_0(c_0(c_2(z0)))))))))))))))))) -> 2(0(2(3(1(3(0(0(3(2(0(1(0(2(0(2(2(2(z0))))))))))))))))))
   2(c_2(c_1(c_1(c_2(c_3(c_1(c_2(c_1(c_3(c_1(c_0(c_2(c_2(c_0(c_3(c_1(c_1(z0)))))))))))))))))) -> 2(2(1(2(3(1(1(3(1(2(2(1(0(0(2(1(3(1(z0))))))))))))))))))
   3(z0) -> c_3(z0)
   3(c_1(c_0(c_0(c_3(c_0(c_3(c_2(c_3(c_2(c_3(c_0(c_1(c_0(c_1(c_1(c_2(c_3(z0)))))))))))))))))) -> 3(0(1(3(2(3(3(1(1(0(2(0(0(3(1(3(0(2(z0))))))))))))))))))
   3(c_0(c_3(c_1(c_0(c_1(c_0(c_3(c_3(c_1(c_0(c_3(c_2(c_3(c_3(c_2(c_0(c_3(z0)))))))))))))))))) -> 1(3(0(2(0(0(3(3(2(1(3(0(3(3(1(3(3(0(z0))))))))))))))))))
   3(c_0(c_1(c_0(c_1(c_2(c_3(c_3(c_1(c_2(c_3(c_2(c_1(c_1(c_1(c_3(c_3(c_0(z0)))))))))))))))))) -> 3(0(1(2(1(3(3(1(3(0(1(3(1(2(0(1(3(2(z0))))))))))))))))))
   3(c_1(c_2(c_3(c_2(c_0(c_2(c_3(c_1(c_1(c_1(c_3(c_3(c_2(c_0(c_0(c_0(c_3(z0)))))))))))))))))) -> 3(1(3(2(1(3(0(2(1(0(0(2(3(1(2(3(3(0(z0))))))))))))))))))
   3(c_2(c_3(c_2(c_2(c_0(c_3(c_3(c_2(c_0(c_1(c_0(c_0(c_2(c_0(c_1(c_1(c_1(z0)))))))))))))))))) -> 3(0(1(3(2(0(3(0(1(2(3(0(2(0(2(2(1(1(z0))))))))))))))))))
   3(c_3(c_1(c_2(c_2(c_2(c_3(c_3(c_3(c_1(c_3(c_0(c_1(c_1(c_1(c_2(c_1(c_0(z0)))))))))))))))))) -> 3(3(3(1(2(3(1(3(0(2(2(1(3(0(2(1(1(1(z0))))))))))))))))))
   3(c_1(c_1(c_0(c_3(c_0(c_1(c_1(c_3(c_2(c_1(c_2(c_3(c_3(c_1(c_3(c_3(c_1(z0)))))))))))))))))) -> 3(1(3(2(1(1(1(3(3(0(3(2(1(3(0(1(3(1(z0))))))))))))))))))
   3(c_3(c_0(c_1(c_0(c_3(c_2(c_0(c_1(c_1(c_1(c_1(c_3(c_1(c_2(c_3(c_3(c_3(z0)))))))))))))))))) -> 3(2(3(1(1(1(0(3(3(0(2(1(3(0(1(3(1(3(z0))))))))))))))))))
   3(c_3(c_1(c_0(c_3(c_2(c_3(c_0(c_3(c_1(c_0(c_2(c_0(c_3(c_0(c_2(c_2(c_0(z0)))))))))))))))))) -> 3(3(3(2(0(3(0(3(0(1(0(0(1(3(0(2(2(2(z0))))))))))))))))))
   3(c_1(c_2(c_0(c_3(c_2(c_2(c_3(c_2(c_0(c_3(c_3(c_2(c_3(c_3(c_1(c_1(c_3(z0)))))))))))))))))) -> 3(2(2(3(1(3(3(2(1(3(3(0(2(0(2(3(1(3(z0))))))))))))))))))
   3(c_2(c_0(c_1(c_2(c_1(c_0(c_3(c_3(c_3(c_3(c_1(c_2(c_1(c_1(c_0(c_1(c_0(z0)))))))))))))))))) -> 3(0(0(2(1(3(2(3(3(1(1(3(1(1(0(2(0(1(z0))))))))))))))))))
Tuples:
   0'(c_1(c_0(c_2(c_1(c_1(c_0(c_0(c_1(c_0(c_3(c_1(c_1(c_0(c_2(c_1(c_2(c_3(z0)))))))))))))))))) -> c10(0'(1(2(0(0(2(1(1(0(1(1(1(0(1(3(0(2(3(z0)))))))))))))))))), 1'(2(0(0(2(1(1(0(1(1(1(0(1(3(0(2(3(z0))))))))))))))))), 2'(0(0(2(1(1(0(1(1(1(0(1(3(0(2(3(z0)))))))))))))))), 0'(0(2(1(1(0(1(1(1(0(1(3(0(2(3(z0))))))))))))))), 0'(2(1(1(0(1(1(1(0(1(3(0(2(3(z0)))))))))))))), 2'(1(1(0(1(1(1(0(1(3(0(2(3(z0))))))))))))), 1'(1(0(1(1(1(0(1(3(0(2(3(z0)))))))))))), 1'(0(1(1(1(0(1(3(0(2(3(z0))))))))))), 0'(1(1(1(0(1(3(0(2(3(z0)))))))))), 1'(1(1(0(1(3(0(2(3(z0))))))))), 1'(1(0(1(3(0(2(3(z0)))))))), 1'(0(1(3(0(2(3(z0))))))), 0'(1(3(0(2(3(z0)))))), 1'(3(0(2(3(z0))))), 3'(0(2(3(z0)))), 0'(2(3(z0))), 2'(3(z0)), 3'(z0))
   0'(c_1(c_0(c_3(c_2(c_0(c_0(c_0(c_3(c_3(c_0(c_2(c_2(c_2(c_2(c_1(c_1(c_1(z0)))))))))))))))))) -> c11(0'(0(1(1(3(0(3(0(0(2(2(2(0(2(2(1(3(1(z0)))))))))))))))))), 0'(1(1(3(0(3(0(0(2(2(2(0(2(2(1(3(1(z0))))))))))))))))), 1'(1(3(0(3(0(0(2(2(2(0(2(2(1(3(1(z0)))))))))))))))), 1'(3(0(3(0(0(2(2(2(0(2(2(1(3(1(z0))))))))))))))), 3'(0(3(0(0(2(2(2(0(2(2(1(3(1(z0)))))))))))))), 0'(3(0(0(2(2(2(0(2(2(1(3(1(z0))))))))))))), 3'(0(0(2(2(2(0(2(2(1(3(1(z0)))))))))))), 0'(0(2(2(2(0(2(2(1(3(1(z0))))))))))), 0'(2(2(2(0(2(2(1(3(1(z0)))))))))), 2'(2(2(0(2(2(1(3(1(z0))))))))), 2'(2(0(2(2(1(3(1(z0)))))))), 2'(0(2(2(1(3(1(z0))))))), 0'(2(2(1(3(1(z0)))))), 2'(2(1(3(1(z0))))), 2'(1(3(1(z0)))), 1'(3(1(z0))), 3'(1(z0)), 1'(z0))
   0'(c_0(c_3(c_1(c_0(c_2(c_2(c_0(c_2(c_3(c_1(c_1(c_0(c_1(c_2(c_2(c_0(c_1(z0)))))))))))))))))) -> c12(0'(2(1(1(3(0(0(0(1(0(2(3(1(2(2(0(2(1(z0)))))))))))))))))), 2'(1(1(3(0(0(0(1(0(2(3(1(2(2(0(2(1(z0))))))))))))))))), 1'(1(3(0(0(0(1(0(2(3(1(2(2(0(2(1(z0)))))))))))))))), 1'(3(0(0(0(1(0(2(3(1(2(2(0(2(1(z0))))))))))))))), 3'(0(0(0(1(0(2(3(1(2(2(0(2(1(z0)))))))))))))), 0'(0(0(1(0(2(3(1(2(2(0(2(1(z0))))))))))))), 0'(0(1(0(2(3(1(2(2(0(2(1(z0)))))))))))), 0'(1(0(2(3(1(2(2(0(2(1(z0))))))))))), 1'(0(2(3(1(2(2(0(2(1(z0)))))))))), 0'(2(3(1(2(2(0(2(1(z0))))))))), 2'(3(1(2(2(0(2(1(z0)))))))), 3'(1(2(2(0(2(1(z0))))))), 1'(2(2(0(2(1(z0)))))), 2'(2(0(2(1(z0))))), 2'(0(2(1(z0)))), 0'(2(1(z0))), 2'(1(z0)), 1'(z0))
   0'(c_3(c_2(c_0(c_3(c_1(c_0(c_1(c_0(c_3(c_0(c_3(c_0(c_0(c_3(c_0(c_0(c_0(z0)))))))))))))))))) -> c13(0'(3(0(0(0(0(1(2(0(3(3(0(0(3(0(1(3(0(z0)))))))))))))))))), 3'(0(0(0(0(1(2(0(3(3(0(0(3(0(1(3(0(z0))))))))))))))))), 0'(0(0(0(1(2(0(3(3(0(0(3(0(1(3(0(z0)))))))))))))))), 0'(0(0(1(2(0(3(3(0(0(3(0(1(3(0(z0))))))))))))))), 0'(0(1(2(0(3(3(0(0(3(0(1(3(0(z0)))))))))))))), 0'(1(2(0(3(3(0(0(3(0(1(3(0(z0))))))))))))), 1'(2(0(3(3(0(0(3(0(1(3(0(z0)))))))))))), 2'(0(3(3(0(0(3(0(1(3(0(z0))))))))))), 0'(3(3(0(0(3(0(1(3(0(z0)))))))))), 3'(3(0(0(3(0(1(3(0(z0))))))))), 3'(0(0(3(0(1(3(0(z0)))))))), 0'(0(3(0(1(3(0(z0))))))), 0'(3(0(1(3(0(z0)))))), 3'(0(1(3(0(z0))))), 0'(1(3(0(z0)))), 1'(3(0(z0))), 3'(0(z0)), 0'(z0))
   0'(c_1(c_2(c_3(c_2(c_1(c_0(c_1(c_2(c_2(c_0(c_0(c_1(c_0(c_3(c_1(c_0(c_1(z0)))))))))))))))))) -> c14(0'(2(1(1(1(0(2(2(0(0(1(1(0(3(0(1(3(2(z0)))))))))))))))))), 2'(1(1(1(0(2(2(0(0(1(1(0(3(0(1(3(2(z0))))))))))))))))), 1'(1(1(0(2(2(0(0(1(1(0(3(0(1(3(2(z0)))))))))))))))), 1'(1(0(2(2(0(0(1(1(0(3(0(1(3(2(z0))))))))))))))), 1'(0(2(2(0(0(1(1(0(3(0(1(3(2(z0)))))))))))))), 0'(2(2(0(0(1(1(0(3(0(1(3(2(z0))))))))))))), 2'(2(0(0(1(1(0(3(0(1(3(2(z0)))))))))))), 2'(0(0(1(1(0(3(0(1(3(2(z0))))))))))), 0'(0(1(1(0(3(0(1(3(2(z0)))))))))), 0'(1(1(0(3(0(1(3(2(z0))))))))), 1'(1(0(3(0(1(3(2(z0)))))))), 1'(0(3(0(1(3(2(z0))))))), 0'(3(0(1(3(2(z0)))))), 3'(0(1(3(2(z0))))), 0'(1(3(2(z0)))), 1'(3(2(z0))), 3'(2(z0)), 2'(z0))
   0'(c_2(c_1(c_0(c_3(c_0(c_3(c_0(c_3(c_2(c_0(c_1(c_0(c_1(c_2(c_2(c_1(c_1(z0)))))))))))))))))) -> c15(0'(2(3(0(3(2(2(1(2(1(1(0(0(3(0(0(1(1(z0)))))))))))))))))), 2'(3(0(3(2(2(1(2(1(1(0(0(3(0(0(1(1(z0))))))))))))))))), 3'(0(3(2(2(1(2(1(1(0(0(3(0(0(1(1(z0)))))))))))))))), 0'(3(2(2(1(2(1(1(0(0(3(0(0(1(1(z0))))))))))))))), 3'(2(2(1(2(1(1(0(0(3(0(0(1(1(z0)))))))))))))), 2'(2(1(2(1(1(0(0(3(0(0(1(1(z0))))))))))))), 2'(1(2(1(1(0(0(3(0(0(1(1(z0)))))))))))), 1'(2(1(1(0(0(3(0(0(1(1(z0))))))))))), 2'(1(1(0(0(3(0(0(1(1(z0)))))))))), 1'(1(0(0(3(0(0(1(1(z0))))))))), 1'(0(0(3(0(0(1(1(z0)))))))), 0'(0(3(0(0(1(1(z0))))))), 0'(3(0(0(1(1(z0)))))), 3'(0(0(1(1(z0))))), 0'(0(1(1(z0)))), 0'(1(1(z0))), 1'(1(z0)), 1'(z0))
   0'(c_0(c_2(c_2(c_1(c_3(c_2(c_2(c_2(c_1(c_0(c_2(c_2(c_0(c_2(c_2(c_0(c_0(z0)))))))))))))))))) -> c16(0'(2(2(2(2(1(3(0(0(2(1(0(2(2(2(2(0(0(z0)))))))))))))))))), 2'(2(2(2(1(3(0(0(2(1(0(2(2(2(2(0(0(z0))))))))))))))))), 2'(2(2(1(3(0(0(2(1(0(2(2(2(2(0(0(z0)))))))))))))))), 2'(2(1(3(0(0(2(1(0(2(2(2(2(0(0(z0))))))))))))))), 2'(1(3(0(0(2(1(0(2(2(2(2(0(0(z0)))))))))))))), 1'(3(0(0(2(1(0(2(2(2(2(0(0(z0))))))))))))), 3'(0(0(2(1(0(2(2(2(2(0(0(z0)))))))))))), 0'(0(2(1(0(2(2(2(2(0(0(z0))))))))))), 0'(2(1(0(2(2(2(2(0(0(z0)))))))))), 2'(1(0(2(2(2(2(0(0(z0))))))))), 1'(0(2(2(2(2(0(0(z0)))))))), 0'(2(2(2(2(0(0(z0))))))), 2'(2(2(2(0(0(z0)))))), 2'(2(2(0(0(z0))))), 2'(2(0(0(z0)))), 2'(0(0(z0))), 0'(0(z0)), 0'(z0))
   0'(c_3(c_1(c_1(c_2(c_3(c_0(c_3(c_0(c_1(c_0(c_1(c_2(c_2(c_1(c_0(c_2(c_2(z0)))))))))))))))))) -> c17(0'(0(1(3(0(0(2(2(2(3(2(1(1(1(1(0(3(2(z0)))))))))))))))))), 0'(1(3(0(0(2(2(2(3(2(1(1(1(1(0(3(2(z0))))))))))))))))), 1'(3(0(0(2(2(2(3(2(1(1(1(1(0(3(2(z0)))))))))))))))), 3'(0(0(2(2(2(3(2(1(1(1(1(0(3(2(z0))))))))))))))), 0'(0(2(2(2(3(2(1(1(1(1(0(3(2(z0)))))))))))))), 0'(2(2(2(3(2(1(1(1(1(0(3(2(z0))))))))))))), 2'(2(2(3(2(1(1(1(1(0(3(2(z0)))))))))))), 2'(2(3(2(1(1(1(1(0(3(2(z0))))))))))), 2'(3(2(1(1(1(1(0(3(2(z0)))))))))), 3'(2(1(1(1(1(0(3(2(z0))))))))), 2'(1(1(1(1(0(3(2(z0)))))))), 1'(1(1(1(0(3(2(z0))))))), 1'(1(1(0(3(2(z0)))))), 1'(1(0(3(2(z0))))), 1'(0(3(2(z0)))), 0'(3(2(z0))), 3'(2(z0)), 2'(z0))
   0'(c_1(c_1(c_1(c_1(c_3(c_1(c_1(c_0(c_1(c_3(c_1(c_0(c_2(c_3(c_3(c_3(c_2(z0)))))))))))))))))) -> c18(0'(2(0(1(3(1(1(3(1(0(1(3(2(1(3(1(1(3(z0)))))))))))))))))), 2'(0(1(3(1(1(3(1(0(1(3(2(1(3(1(1(3(z0))))))))))))))))), 0'(1(3(1(1(3(1(0(1(3(2(1(3(1(1(3(z0)))))))))))))))), 1'(3(1(1(3(1(0(1(3(2(1(3(1(1(3(z0))))))))))))))), 3'(1(1(3(1(0(1(3(2(1(3(1(1(3(z0)))))))))))))), 1'(1(3(1(0(1(3(2(1(3(1(1(3(z0))))))))))))), 1'(3(1(0(1(3(2(1(3(1(1(3(z0)))))))))))), 3'(1(0(1(3(2(1(3(1(1(3(z0))))))))))), 1'(0(1(3(2(1(3(1(1(3(z0)))))))))), 0'(1(3(2(1(3(1(1(3(z0))))))))), 1'(3(2(1(3(1(1(3(z0)))))))), 3'(2(1(3(1(1(3(z0))))))), 2'(1(3(1(1(3(z0)))))), 1'(3(1(1(3(z0))))), 3'(1(1(3(z0)))), 1'(1(3(z0))), 1'(3(z0)), 3'(z0))
   0'(c_3(c_0(c_1(c_0(c_3(c_0(c_1(c_1(c_1(c_2(c_0(c_0(c_0(c_3(c_2(c_1(c_0(z0)))))))))))))))))) -> c19(0'(0(2(2(1(3(0(0(1(3(0(1(0(1(0(0(1(3(z0)))))))))))))))))), 0'(2(2(1(3(0(0(1(3(0(1(0(1(0(0(1(3(z0))))))))))))))))), 2'(2(1(3(0(0(1(3(0(1(0(1(0(0(1(3(z0)))))))))))))))), 2'(1(3(0(0(1(3(0(1(0(1(0(0(1(3(z0))))))))))))))), 1'(3(0(0(1(3(0(1(0(1(0(0(1(3(z0)))))))))))))), 3'(0(0(1(3(0(1(0(1(0(0(1(3(z0))))))))))))), 0'(0(1(3(0(1(0(1(0(0(1(3(z0)))))))))))), 0'(1(3(0(1(0(1(0(0(1(3(z0))))))))))), 1'(3(0(1(0(1(0(0(1(3(z0)))))))))), 3'(0(1(0(1(0(0(1(3(z0))))))))), 0'(1(0(1(0(0(1(3(z0)))))))), 1'(0(1(0(0(1(3(z0))))))), 0'(1(0(0(1(3(z0)))))), 1'(0(0(1(3(z0))))), 0'(0(1(3(z0)))), 0'(1(3(z0))), 1'(3(z0)), 3'(z0))
   1'(c_0(c_1(c_0(c_2(c_0(c_2(c_3(c_1(c_1(c_2(c_2(c_0(c_0(c_3(c_0(c_3(c_2(z0)))))))))))))))))) -> c21(0'(0(0(1(1(3(1(3(2(0(0(2(2(1(3(0(2(2(z0)))))))))))))))))), 0'(0(1(1(3(1(3(2(0(0(2(2(1(3(0(2(2(z0))))))))))))))))), 0'(1(1(3(1(3(2(0(0(2(2(1(3(0(2(2(z0)))))))))))))))), 1'(1(3(1(3(2(0(0(2(2(1(3(0(2(2(z0))))))))))))))), 1'(3(1(3(2(0(0(2(2(1(3(0(2(2(z0)))))))))))))), 3'(1(3(2(0(0(2(2(1(3(0(2(2(z0))))))))))))), 1'(3(2(0(0(2(2(1(3(0(2(2(z0)))))))))))), 3'(2(0(0(2(2(1(3(0(2(2(z0))))))))))), 2'(0(0(2(2(1(3(0(2(2(z0)))))))))), 0'(0(2(2(1(3(0(2(2(z0))))))))), 0'(2(2(1(3(0(2(2(z0)))))))), 2'(2(1(3(0(2(2(z0))))))), 2'(1(3(0(2(2(z0)))))), 1'(3(0(2(2(z0))))), 3'(0(2(2(z0)))), 0'(2(2(z0))), 2'(2(z0)), 2'(z0))
   1'(c_2(c_0(c_0(c_2(c_1(c_3(c_2(c_2(c_3(c_2(c_2(c_0(c_3(c_2(c_3(c_2(c_2(z0)))))))))))))))))) -> c22(1'(2(0(3(2(2(2(2(3(0(0(2(2(2(3(1(3(2(z0)))))))))))))))))), 2'(0(3(2(2(2(2(3(0(0(2(2(2(3(1(3(2(z0))))))))))))))))), 0'(3(2(2(2(2(3(0(0(2(2(2(3(1(3(2(z0)))))))))))))))), 3'(2(2(2(2(3(0(0(2(2(2(3(1(3(2(z0))))))))))))))), 2'(2(2(2(3(0(0(2(2(2(3(1(3(2(z0)))))))))))))), 2'(2(2(3(0(0(2(2(2(3(1(3(2(z0))))))))))))), 2'(2(3(0(0(2(2(2(3(1(3(2(z0)))))))))))), 2'(3(0(0(2(2(2(3(1(3(2(z0))))))))))), 3'(0(0(2(2(2(3(1(3(2(z0)))))))))), 0'(0(2(2(2(3(1(3(2(z0))))))))), 0'(2(2(2(3(1(3(2(z0)))))))), 2'(2(2(3(1(3(2(z0))))))), 2'(2(3(1(3(2(z0)))))), 2'(3(1(3(2(z0))))), 3'(1(3(2(z0)))), 1'(3(2(z0))), 3'(2(z0)), 2'(z0))
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   2'(c_2(c_1(c_1(c_2(c_3(c_1(c_2(c_1(c_3(c_1(c_0(c_2(c_2(c_0(c_3(c_1(c_1(z0)))))))))))))))))) -> c79(2'(2(1(2(3(1(1(3(1(2(2(1(0(0(2(1(3(1(z0)))))))))))))))))), 2'(1(2(3(1(1(3(1(2(2(1(0(0(2(1(3(1(z0))))))))))))))))), 1'(2(3(1(1(3(1(2(2(1(0(0(2(1(3(1(z0)))))))))))))))), 2'(3(1(1(3(1(2(2(1(0(0(2(1(3(1(z0))))))))))))))), 3'(1(1(3(1(2(2(1(0(0(2(1(3(1(z0)))))))))))))), 1'(1(3(1(2(2(1(0(0(2(1(3(1(z0))))))))))))), 1'(3(1(2(2(1(0(0(2(1(3(1(z0)))))))))))), 3'(1(2(2(1(0(0(2(1(3(1(z0))))))))))), 1'(2(2(1(0(0(2(1(3(1(z0)))))))))), 2'(2(1(0(0(2(1(3(1(z0))))))))), 2'(1(0(0(2(1(3(1(z0)))))))), 1'(0(0(2(1(3(1(z0))))))), 0'(0(2(1(3(1(z0)))))), 0'(2(1(3(1(z0))))), 2'(1(3(1(z0)))), 1'(3(1(z0))), 3'(1(z0)), 1'(z0))
   3'(c_1(c_0(c_0(c_3(c_0(c_3(c_2(c_3(c_2(c_3(c_0(c_1(c_0(c_1(c_1(c_2(c_3(z0)))))))))))))))))) -> c81(3'(0(1(3(2(3(3(1(1(0(2(0(0(3(1(3(0(2(z0)))))))))))))))))), 0'(1(3(2(3(3(1(1(0(2(0(0(3(1(3(0(2(z0))))))))))))))))), 1'(3(2(3(3(1(1(0(2(0(0(3(1(3(0(2(z0)))))))))))))))), 3'(2(3(3(1(1(0(2(0(0(3(1(3(0(2(z0))))))))))))))), 2'(3(3(1(1(0(2(0(0(3(1(3(0(2(z0)))))))))))))), 3'(3(1(1(0(2(0(0(3(1(3(0(2(z0))))))))))))), 3'(1(1(0(2(0(0(3(1(3(0(2(z0)))))))))))), 1'(1(0(2(0(0(3(1(3(0(2(z0))))))))))), 1'(0(2(0(0(3(1(3(0(2(z0)))))))))), 0'(2(0(0(3(1(3(0(2(z0))))))))), 2'(0(0(3(1(3(0(2(z0)))))))), 0'(0(3(1(3(0(2(z0))))))), 0'(3(1(3(0(2(z0)))))), 3'(1(3(0(2(z0))))), 1'(3(0(2(z0)))), 3'(0(2(z0))), 0'(2(z0)), 2'(z0))
   3'(c_0(c_3(c_1(c_0(c_1(c_0(c_3(c_3(c_1(c_0(c_3(c_2(c_3(c_3(c_2(c_0(c_3(z0)))))))))))))))))) -> c82(1'(3(0(2(0(0(3(3(2(1(3(0(3(3(1(3(3(0(z0)))))))))))))))))), 3'(0(2(0(0(3(3(2(1(3(0(3(3(1(3(3(0(z0))))))))))))))))), 0'(2(0(0(3(3(2(1(3(0(3(3(1(3(3(0(z0)))))))))))))))), 2'(0(0(3(3(2(1(3(0(3(3(1(3(3(0(z0))))))))))))))), 0'(0(3(3(2(1(3(0(3(3(1(3(3(0(z0)))))))))))))), 0'(3(3(2(1(3(0(3(3(1(3(3(0(z0))))))))))))), 3'(3(2(1(3(0(3(3(1(3(3(0(z0)))))))))))), 3'(2(1(3(0(3(3(1(3(3(0(z0))))))))))), 2'(1(3(0(3(3(1(3(3(0(z0)))))))))), 1'(3(0(3(3(1(3(3(0(z0))))))))), 3'(0(3(3(1(3(3(0(z0)))))))), 0'(3(3(1(3(3(0(z0))))))), 3'(3(1(3(3(0(z0)))))), 3'(1(3(3(0(z0))))), 1'(3(3(0(z0)))), 3'(3(0(z0))), 3'(0(z0)), 0'(z0))
   3'(c_0(c_1(c_0(c_1(c_2(c_3(c_3(c_1(c_2(c_3(c_2(c_1(c_1(c_1(c_3(c_3(c_0(z0)))))))))))))))))) -> c83(3'(0(1(2(1(3(3(1(3(0(1(3(1(2(0(1(3(2(z0)))))))))))))))))), 0'(1(2(1(3(3(1(3(0(1(3(1(2(0(1(3(2(z0))))))))))))))))), 1'(2(1(3(3(1(3(0(1(3(1(2(0(1(3(2(z0)))))))))))))))), 2'(1(3(3(1(3(0(1(3(1(2(0(1(3(2(z0))))))))))))))), 1'(3(3(1(3(0(1(3(1(2(0(1(3(2(z0)))))))))))))), 3'(3(1(3(0(1(3(1(2(0(1(3(2(z0))))))))))))), 3'(1(3(0(1(3(1(2(0(1(3(2(z0)))))))))))), 1'(3(0(1(3(1(2(0(1(3(2(z0))))))))))), 3'(0(1(3(1(2(0(1(3(2(z0)))))))))), 0'(1(3(1(2(0(1(3(2(z0))))))))), 1'(3(1(2(0(1(3(2(z0)))))))), 3'(1(2(0(1(3(2(z0))))))), 1'(2(0(1(3(2(z0)))))), 2'(0(1(3(2(z0))))), 0'(1(3(2(z0)))), 1'(3(2(z0))), 3'(2(z0)), 2'(z0))
   3'(c_1(c_2(c_3(c_2(c_0(c_2(c_3(c_1(c_1(c_1(c_3(c_3(c_2(c_0(c_0(c_0(c_3(z0)))))))))))))))))) -> c84(3'(1(3(2(1(3(0(2(1(0(0(2(3(1(2(3(3(0(z0)))))))))))))))))), 1'(3(2(1(3(0(2(1(0(0(2(3(1(2(3(3(0(z0))))))))))))))))), 3'(2(1(3(0(2(1(0(0(2(3(1(2(3(3(0(z0)))))))))))))))), 2'(1(3(0(2(1(0(0(2(3(1(2(3(3(0(z0))))))))))))))), 1'(3(0(2(1(0(0(2(3(1(2(3(3(0(z0)))))))))))))), 3'(0(2(1(0(0(2(3(1(2(3(3(0(z0))))))))))))), 0'(2(1(0(0(2(3(1(2(3(3(0(z0)))))))))))), 2'(1(0(0(2(3(1(2(3(3(0(z0))))))))))), 1'(0(0(2(3(1(2(3(3(0(z0)))))))))), 0'(0(2(3(1(2(3(3(0(z0))))))))), 0'(2(3(1(2(3(3(0(z0)))))))), 2'(3(1(2(3(3(0(z0))))))), 3'(1(2(3(3(0(z0)))))), 1'(2(3(3(0(z0))))), 2'(3(3(0(z0)))), 3'(3(0(z0))), 3'(0(z0)), 0'(z0))
   3'(c_2(c_3(c_2(c_2(c_0(c_3(c_3(c_2(c_0(c_1(c_0(c_0(c_2(c_0(c_1(c_1(c_1(z0)))))))))))))))))) -> c85(3'(0(1(3(2(0(3(0(1(2(3(0(2(0(2(2(1(1(z0)))))))))))))))))), 0'(1(3(2(0(3(0(1(2(3(0(2(0(2(2(1(1(z0))))))))))))))))), 1'(3(2(0(3(0(1(2(3(0(2(0(2(2(1(1(z0)))))))))))))))), 3'(2(0(3(0(1(2(3(0(2(0(2(2(1(1(z0))))))))))))))), 2'(0(3(0(1(2(3(0(2(0(2(2(1(1(z0)))))))))))))), 0'(3(0(1(2(3(0(2(0(2(2(1(1(z0))))))))))))), 3'(0(1(2(3(0(2(0(2(2(1(1(z0)))))))))))), 0'(1(2(3(0(2(0(2(2(1(1(z0))))))))))), 1'(2(3(0(2(0(2(2(1(1(z0)))))))))), 2'(3(0(2(0(2(2(1(1(z0))))))))), 3'(0(2(0(2(2(1(1(z0)))))))), 0'(2(0(2(2(1(1(z0))))))), 2'(0(2(2(1(1(z0)))))), 0'(2(2(1(1(z0))))), 2'(2(1(1(z0)))), 2'(1(1(z0))), 1'(1(z0)), 1'(z0))
   3'(c_3(c_1(c_2(c_2(c_2(c_3(c_3(c_3(c_1(c_3(c_0(c_1(c_1(c_1(c_2(c_1(c_0(z0)))))))))))))))))) -> c86(3'(3(3(1(2(3(1(3(0(2(2(1(3(0(2(1(1(1(z0)))))))))))))))))), 3'(3(1(2(3(1(3(0(2(2(1(3(0(2(1(1(1(z0))))))))))))))))), 3'(1(2(3(1(3(0(2(2(1(3(0(2(1(1(1(z0)))))))))))))))), 1'(2(3(1(3(0(2(2(1(3(0(2(1(1(1(z0))))))))))))))), 2'(3(1(3(0(2(2(1(3(0(2(1(1(1(z0)))))))))))))), 3'(1(3(0(2(2(1(3(0(2(1(1(1(z0))))))))))))), 1'(3(0(2(2(1(3(0(2(1(1(1(z0)))))))))))), 3'(0(2(2(1(3(0(2(1(1(1(z0))))))))))), 0'(2(2(1(3(0(2(1(1(1(z0)))))))))), 2'(2(1(3(0(2(1(1(1(z0))))))))), 2'(1(3(0(2(1(1(1(z0)))))))), 1'(3(0(2(1(1(1(z0))))))), 3'(0(2(1(1(1(z0)))))), 0'(2(1(1(1(z0))))), 2'(1(1(1(z0)))), 1'(1(1(z0))), 1'(1(z0)), 1'(z0))
   3'(c_1(c_1(c_0(c_3(c_0(c_1(c_1(c_3(c_2(c_1(c_2(c_3(c_3(c_1(c_3(c_3(c_1(z0)))))))))))))))))) -> c87(3'(1(3(2(1(1(1(3(3(0(3(2(1(3(0(1(3(1(z0)))))))))))))))))), 1'(3(2(1(1(1(3(3(0(3(2(1(3(0(1(3(1(z0))))))))))))))))), 3'(2(1(1(1(3(3(0(3(2(1(3(0(1(3(1(z0)))))))))))))))), 2'(1(1(1(3(3(0(3(2(1(3(0(1(3(1(z0))))))))))))))), 1'(1(1(3(3(0(3(2(1(3(0(1(3(1(z0)))))))))))))), 1'(1(3(3(0(3(2(1(3(0(1(3(1(z0))))))))))))), 1'(3(3(0(3(2(1(3(0(1(3(1(z0)))))))))))), 3'(3(0(3(2(1(3(0(1(3(1(z0))))))))))), 3'(0(3(2(1(3(0(1(3(1(z0)))))))))), 0'(3(2(1(3(0(1(3(1(z0))))))))), 3'(2(1(3(0(1(3(1(z0)))))))), 2'(1(3(0(1(3(1(z0))))))), 1'(3(0(1(3(1(z0)))))), 3'(0(1(3(1(z0))))), 0'(1(3(1(z0)))), 1'(3(1(z0))), 3'(1(z0)), 1'(z0))
   3'(c_3(c_0(c_1(c_0(c_3(c_2(c_0(c_1(c_1(c_1(c_1(c_3(c_1(c_2(c_3(c_3(c_3(z0)))))))))))))))))) -> c88(3'(2(3(1(1(1(0(3(3(0(2(1(3(0(1(3(1(3(z0)))))))))))))))))), 2'(3(1(1(1(0(3(3(0(2(1(3(0(1(3(1(3(z0))))))))))))))))), 3'(1(1(1(0(3(3(0(2(1(3(0(1(3(1(3(z0)))))))))))))))), 1'(1(1(0(3(3(0(2(1(3(0(1(3(1(3(z0))))))))))))))), 1'(1(0(3(3(0(2(1(3(0(1(3(1(3(z0)))))))))))))), 1'(0(3(3(0(2(1(3(0(1(3(1(3(z0))))))))))))), 0'(3(3(0(2(1(3(0(1(3(1(3(z0)))))))))))), 3'(3(0(2(1(3(0(1(3(1(3(z0))))))))))), 3'(0(2(1(3(0(1(3(1(3(z0)))))))))), 0'(2(1(3(0(1(3(1(3(z0))))))))), 2'(1(3(0(1(3(1(3(z0)))))))), 1'(3(0(1(3(1(3(z0))))))), 3'(0(1(3(1(3(z0)))))), 0'(1(3(1(3(z0))))), 1'(3(1(3(z0)))), 3'(1(3(z0))), 1'(3(z0)), 3'(z0))
   3'(c_3(c_1(c_0(c_3(c_2(c_3(c_0(c_3(c_1(c_0(c_2(c_0(c_3(c_0(c_2(c_2(c_0(z0)))))))))))))))))) -> c89(3'(3(3(2(0(3(0(3(0(1(0(0(1(3(0(2(2(2(z0)))))))))))))))))), 3'(3(2(0(3(0(3(0(1(0(0(1(3(0(2(2(2(z0))))))))))))))))), 3'(2(0(3(0(3(0(1(0(0(1(3(0(2(2(2(z0)))))))))))))))), 2'(0(3(0(3(0(1(0(0(1(3(0(2(2(2(z0))))))))))))))), 0'(3(0(3(0(1(0(0(1(3(0(2(2(2(z0)))))))))))))), 3'(0(3(0(1(0(0(1(3(0(2(2(2(z0))))))))))))), 0'(3(0(1(0(0(1(3(0(2(2(2(z0)))))))))))), 3'(0(1(0(0(1(3(0(2(2(2(z0))))))))))), 0'(1(0(0(1(3(0(2(2(2(z0)))))))))), 1'(0(0(1(3(0(2(2(2(z0))))))))), 0'(0(1(3(0(2(2(2(z0)))))))), 0'(1(3(0(2(2(2(z0))))))), 1'(3(0(2(2(2(z0)))))), 3'(0(2(2(2(z0))))), 0'(2(2(2(z0)))), 2'(2(2(z0))), 2'(2(z0)), 2'(z0))
   3'(c_1(c_2(c_0(c_3(c_2(c_2(c_3(c_2(c_0(c_3(c_3(c_2(c_3(c_3(c_1(c_1(c_3(z0)))))))))))))))))) -> c90(3'(2(2(3(1(3(3(2(1(3(3(0(2(0(2(3(1(3(z0)))))))))))))))))), 2'(2(3(1(3(3(2(1(3(3(0(2(0(2(3(1(3(z0))))))))))))))))), 2'(3(1(3(3(2(1(3(3(0(2(0(2(3(1(3(z0)))))))))))))))), 3'(1(3(3(2(1(3(3(0(2(0(2(3(1(3(z0))))))))))))))), 1'(3(3(2(1(3(3(0(2(0(2(3(1(3(z0)))))))))))))), 3'(3(2(1(3(3(0(2(0(2(3(1(3(z0))))))))))))), 3'(2(1(3(3(0(2(0(2(3(1(3(z0)))))))))))), 2'(1(3(3(0(2(0(2(3(1(3(z0))))))))))), 1'(3(3(0(2(0(2(3(1(3(z0)))))))))), 3'(3(0(2(0(2(3(1(3(z0))))))))), 3'(0(2(0(2(3(1(3(z0)))))))), 0'(2(0(2(3(1(3(z0))))))), 2'(0(2(3(1(3(z0)))))), 0'(2(3(1(3(z0))))), 2'(3(1(3(z0)))), 3'(1(3(z0))), 1'(3(z0)), 3'(z0))
   3'(c_2(c_0(c_1(c_2(c_1(c_0(c_3(c_3(c_3(c_3(c_1(c_2(c_1(c_1(c_0(c_1(c_0(z0)))))))))))))))))) -> c91(3'(0(0(2(1(3(2(3(3(1(1(3(1(1(0(2(0(1(z0)))))))))))))))))), 0'(0(2(1(3(2(3(3(1(1(3(1(1(0(2(0(1(z0))))))))))))))))), 0'(2(1(3(2(3(3(1(1(3(1(1(0(2(0(1(z0)))))))))))))))), 2'(1(3(2(3(3(1(1(3(1(1(0(2(0(1(z0))))))))))))))), 1'(3(2(3(3(1(1(3(1(1(0(2(0(1(z0)))))))))))))), 3'(2(3(3(1(1(3(1(1(0(2(0(1(z0))))))))))))), 2'(3(3(1(1(3(1(1(0(2(0(1(z0)))))))))))), 3'(3(1(1(3(1(1(0(2(0(1(z0))))))))))), 3'(1(1(3(1(1(0(2(0(1(z0)))))))))), 1'(1(3(1(1(0(2(0(1(z0))))))))), 1'(3(1(1(0(2(0(1(z0)))))))), 3'(1(1(0(2(0(1(z0))))))), 1'(1(0(2(0(1(z0)))))), 1'(0(2(0(1(z0))))), 0'(2(0(1(z0)))), 2'(0(1(z0))), 0'(1(z0)), 1'(z0))
   ENCODE_0(z0) -> c8(0'(encArg(z0)))
   ENCODE_2(z0) -> c8(2'(encArg(z0)))
   ENCODE_1(z0) -> c8(1'(encArg(z0)))
   ENCODE_3(z0) -> c8(3'(encArg(z0)))
   ENCARG(cons_0(cons_0(z0))) -> c(0'(0(encArg(z0))), ENCARG(cons_0(z0)))
   ENCARG(cons_0(cons_1(z0))) -> c(0'(1(encArg(z0))), ENCARG(cons_1(z0)))
   ENCARG(cons_0(cons_2(z0))) -> c(0'(2(encArg(z0))), ENCARG(cons_2(z0)))
   ENCARG(cons_0(cons_3(z0))) -> c(0'(3(encArg(z0))), ENCARG(cons_3(z0)))
   ENCARG(cons_1(cons_0(z0))) -> c1(1'(0(encArg(z0))), ENCARG(cons_0(z0)))
   ENCARG(cons_1(cons_1(z0))) -> c1(1'(1(encArg(z0))), ENCARG(cons_1(z0)))
   ENCARG(cons_1(cons_2(z0))) -> c1(1'(2(encArg(z0))), ENCARG(cons_2(z0)))
   ENCARG(cons_1(cons_3(z0))) -> c1(1'(3(encArg(z0))), ENCARG(cons_3(z0)))
   ENCARG(cons_2(cons_0(z0))) -> c2(2'(0(encArg(z0))), ENCARG(cons_0(z0)))
   ENCARG(cons_2(cons_1(z0))) -> c2(2'(1(encArg(z0))), ENCARG(cons_1(z0)))
   ENCARG(cons_2(cons_2(z0))) -> c2(2'(2(encArg(z0))), ENCARG(cons_2(z0)))
   ENCARG(cons_2(cons_3(z0))) -> c2(2'(3(encArg(z0))), ENCARG(cons_3(z0)))
   ENCARG(cons_3(cons_0(z0))) -> c3(3'(0(encArg(z0))), ENCARG(cons_0(z0)))
   ENCARG(cons_3(cons_1(z0))) -> c3(3'(1(encArg(z0))), ENCARG(cons_1(z0)))
   ENCARG(cons_3(cons_2(z0))) -> c3(3'(2(encArg(z0))), ENCARG(cons_2(z0)))
   ENCARG(cons_3(cons_3(z0))) -> c3(3'(3(encArg(z0))), ENCARG(cons_3(z0)))
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   0'(c_2(c_3(c_0(c_1(c_2(c_3(c_2(c_0(c_3(c_1(c_0(c_0(c_0(c_3(c_3(c_0(c_3(x0)))))))))))))))))) -> c9(0'(2(1(3(0(0(3(3(c_0(1(0(2(2(3(3(0(0(3(x0)))))))))))))))))), 2'(1(3(0(0(3(3(0(1(0(2(2(3(3(0(0(3(x0))))))))))))))))), 1'(3(0(0(3(3(0(1(0(2(2(3(3(0(0(3(x0)))))))))))))))), 3'(0(0(3(3(0(1(0(2(2(3(3(0(0(3(x0))))))))))))))), 0'(0(3(3(0(1(0(2(2(3(3(0(0(3(x0)))))))))))))), 0'(3(3(0(1(0(2(2(3(3(0(0(3(x0))))))))))))), 3'(3(0(1(0(2(2(3(3(0(0(3(x0)))))))))))), 3'(0(1(0(2(2(3(3(0(0(3(x0))))))))))), 0'(1(0(2(2(3(3(0(0(3(x0)))))))))), 1'(0(2(2(3(3(0(0(3(x0))))))))), 0'(2(2(3(3(0(0(3(x0)))))))), 2'(2(3(3(0(0(3(x0))))))), 2'(3(3(0(0(3(x0)))))), 3'(3(0(0(3(x0))))), 3'(0(0(3(x0)))), 0'(0(3(x0))), 0'(3(x0)), 3'(x0))
   0'(c_2(c_3(c_0(c_1(c_2(c_3(c_2(c_0(c_3(c_1(c_0(c_0(c_0(c_3(c_3(c_0(c_3(x0)))))))))))))))))) -> c9(0'(2(1(3(0(0(3(3(0(c_1(0(2(2(3(3(0(0(3(x0)))))))))))))))))), 2'(1(3(0(0(3(3(0(1(0(2(2(3(3(0(0(3(x0))))))))))))))))), 1'(3(0(0(3(3(0(1(0(2(2(3(3(0(0(3(x0)))))))))))))))), 3'(0(0(3(3(0(1(0(2(2(3(3(0(0(3(x0))))))))))))))), 0'(0(3(3(0(1(0(2(2(3(3(0(0(3(x0)))))))))))))), 0'(3(3(0(1(0(2(2(3(3(0(0(3(x0))))))))))))), 3'(3(0(1(0(2(2(3(3(0(0(3(x0)))))))))))), 3'(0(1(0(2(2(3(3(0(0(3(x0))))))))))), 0'(1(0(2(2(3(3(0(0(3(x0)))))))))), 1'(0(2(2(3(3(0(0(3(x0))))))))), 0'(2(2(3(3(0(0(3(x0)))))))), 2'(2(3(3(0(0(3(x0))))))), 2'(3(3(0(0(3(x0)))))), 3'(3(0(0(3(x0))))), 3'(0(0(3(x0)))), 0'(0(3(x0))), 0'(3(x0)), 3'(x0))
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   0'(c_2(c_3(c_0(c_1(c_2(c_3(c_2(c_0(c_3(c_1(c_0(c_0(c_0(c_3(c_3(c_0(c_3(c_2(c_0(c_1(c_2(c_1(c_0(c_3(c_3(c_3(c_3(c_1(c_2(c_1(c_1(c_0(c_1(c_0(z0))))))))))))))))))))))))))))))))))) -> c9(0'(2(1(3(0(0(3(3(0(1(0(2(2(3(3(0(0(3(0(0(2(1(3(2(3(3(1(1(3(1(1(0(2(0(1(z0))))))))))))))))))))))))))))))))))), 2'(1(3(0(0(3(3(0(1(0(2(2(3(3(0(0(3(c_2(c_0(c_1(c_2(c_1(c_0(c_3(c_3(c_3(c_3(c_1(c_2(c_1(c_1(c_0(c_1(c_0(z0)))))))))))))))))))))))))))))))))), 1'(3(0(0(3(3(0(1(0(2(2(3(3(0(0(3(c_2(c_0(c_1(c_2(c_1(c_0(c_3(c_3(c_3(c_3(c_1(c_2(c_1(c_1(c_0(c_1(c_0(z0))))))))))))))))))))))))))))))))), 3'(0(0(3(3(0(1(0(2(2(3(3(0(0(3(c_2(c_0(c_1(c_2(c_1(c_0(c_3(c_3(c_3(c_3(c_1(c_2(c_1(c_1(c_0(c_1(c_0(z0)))))))))))))))))))))))))))))))), 0'(0(3(3(0(1(0(2(2(3(3(0(0(3(c_2(c_0(c_1(c_2(c_1(c_0(c_3(c_3(c_3(c_3(c_1(c_2(c_1(c_1(c_0(c_1(c_0(z0))))))))))))))))))))))))))))))), 0'(3(3(0(1(0(2(2(3(3(0(0(3(c_2(c_0(c_1(c_2(c_1(c_0(c_3(c_3(c_3(c_3(c_1(c_2(c_1(c_1(c_0(c_1(c_0(z0)))))))))))))))))))))))))))))), 3'(3(0(1(0(2(2(3(3(0(0(3(c_2(c_0(c_1(c_2(c_1(c_0(c_3(c_3(c_3(c_3(c_1(c_2(c_1(c_1(c_0(c_1(c_0(z0))))))))))))))))))))))))))))), 3'(0(1(0(2(2(3(3(0(0(3(c_2(c_0(c_1(c_2(c_1(c_0(c_3(c_3(c_3(c_3(c_1(c_2(c_1(c_1(c_0(c_1(c_0(z0)))))))))))))))))))))))))))), 0'(1(0(2(2(3(3(0(0(3(c_2(c_0(c_1(c_2(c_1(c_0(c_3(c_3(c_3(c_3(c_1(c_2(c_1(c_1(c_0(c_1(c_0(z0))))))))))))))))))))))))))), 1'(0(2(2(3(3(0(0(3(c_2(c_0(c_1(c_2(c_1(c_0(c_3(c_3(c_3(c_3(c_1(c_2(c_1(c_1(c_0(c_1(c_0(z0)))))))))))))))))))))))))), 0'(2(2(3(3(0(0(3(c_2(c_0(c_1(c_2(c_1(c_0(c_3(c_3(c_3(c_3(c_1(c_2(c_1(c_1(c_0(c_1(c_0(z0))))))))))))))))))))))))), 2'(2(3(3(0(0(3(c_2(c_0(c_1(c_2(c_1(c_0(c_3(c_3(c_3(c_3(c_1(c_2(c_1(c_1(c_0(c_1(c_0(z0)))))))))))))))))))))))), 2'(3(3(0(0(3(c_2(c_0(c_1(c_2(c_1(c_0(c_3(c_3(c_3(c_3(c_1(c_2(c_1(c_1(c_0(c_1(c_0(z0))))))))))))))))))))))), 3'(3(0(0(3(c_2(c_0(c_1(c_2(c_1(c_0(c_3(c_3(c_3(c_3(c_1(c_2(c_1(c_1(c_0(c_1(c_0(z0)))))))))))))))))))))), 3'(0(0(3(c_2(c_0(c_1(c_2(c_1(c_0(c_3(c_3(c_3(c_3(c_1(c_2(c_1(c_1(c_0(c_1(c_0(z0))))))))))))))))))))), 0'(0(3(c_2(c_0(c_1(c_2(c_1(c_0(c_3(c_3(c_3(c_3(c_1(c_2(c_1(c_1(c_0(c_1(c_0(z0)))))))))))))))))))), 0'(3(c_2(c_0(c_1(c_2(c_1(c_0(c_3(c_3(c_3(c_3(c_1(c_2(c_1(c_1(c_0(c_1(c_0(z0))))))))))))))))))), 3'(c_2(c_0(c_1(c_2(c_1(c_0(c_3(c_3(c_3(c_3(c_1(c_2(c_1(c_1(c_0(c_1(c_0(z0)))))))))))))))))))
S tuples:
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   0'(c_1(c_0(c_3(c_2(c_0(c_0(c_0(c_3(c_3(c_0(c_2(c_2(c_2(c_2(c_1(c_1(c_1(z0)))))))))))))))))) -> c11(0'(0(1(1(3(0(3(0(0(2(2(2(0(2(2(1(3(1(z0)))))))))))))))))), 0'(1(1(3(0(3(0(0(2(2(2(0(2(2(1(3(1(z0))))))))))))))))), 1'(1(3(0(3(0(0(2(2(2(0(2(2(1(3(1(z0)))))))))))))))), 1'(3(0(3(0(0(2(2(2(0(2(2(1(3(1(z0))))))))))))))), 3'(0(3(0(0(2(2(2(0(2(2(1(3(1(z0)))))))))))))), 0'(3(0(0(2(2(2(0(2(2(1(3(1(z0))))))))))))), 3'(0(0(2(2(2(0(2(2(1(3(1(z0)))))))))))), 0'(0(2(2(2(0(2(2(1(3(1(z0))))))))))), 0'(2(2(2(0(2(2(1(3(1(z0)))))))))), 2'(2(2(0(2(2(1(3(1(z0))))))))), 2'(2(0(2(2(1(3(1(z0)))))))), 2'(0(2(2(1(3(1(z0))))))), 0'(2(2(1(3(1(z0)))))), 2'(2(1(3(1(z0))))), 2'(1(3(1(z0)))), 1'(3(1(z0))), 3'(1(z0)), 1'(z0))
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   0'(c_3(c_2(c_0(c_3(c_1(c_0(c_1(c_0(c_3(c_0(c_3(c_0(c_0(c_3(c_0(c_0(c_0(z0)))))))))))))))))) -> c13(0'(3(0(0(0(0(1(2(0(3(3(0(0(3(0(1(3(0(z0)))))))))))))))))), 3'(0(0(0(0(1(2(0(3(3(0(0(3(0(1(3(0(z0))))))))))))))))), 0'(0(0(0(1(2(0(3(3(0(0(3(0(1(3(0(z0)))))))))))))))), 0'(0(0(1(2(0(3(3(0(0(3(0(1(3(0(z0))))))))))))))), 0'(0(1(2(0(3(3(0(0(3(0(1(3(0(z0)))))))))))))), 0'(1(2(0(3(3(0(0(3(0(1(3(0(z0))))))))))))), 1'(2(0(3(3(0(0(3(0(1(3(0(z0)))))))))))), 2'(0(3(3(0(0(3(0(1(3(0(z0))))))))))), 0'(3(3(0(0(3(0(1(3(0(z0)))))))))), 3'(3(0(0(3(0(1(3(0(z0))))))))), 3'(0(0(3(0(1(3(0(z0)))))))), 0'(0(3(0(1(3(0(z0))))))), 0'(3(0(1(3(0(z0)))))), 3'(0(1(3(0(z0))))), 0'(1(3(0(z0)))), 1'(3(0(z0))), 3'(0(z0)), 0'(z0))
   0'(c_1(c_2(c_3(c_2(c_1(c_0(c_1(c_2(c_2(c_0(c_0(c_1(c_0(c_3(c_1(c_0(c_1(z0)))))))))))))))))) -> c14(0'(2(1(1(1(0(2(2(0(0(1(1(0(3(0(1(3(2(z0)))))))))))))))))), 2'(1(1(1(0(2(2(0(0(1(1(0(3(0(1(3(2(z0))))))))))))))))), 1'(1(1(0(2(2(0(0(1(1(0(3(0(1(3(2(z0)))))))))))))))), 1'(1(0(2(2(0(0(1(1(0(3(0(1(3(2(z0))))))))))))))), 1'(0(2(2(0(0(1(1(0(3(0(1(3(2(z0)))))))))))))), 0'(2(2(0(0(1(1(0(3(0(1(3(2(z0))))))))))))), 2'(2(0(0(1(1(0(3(0(1(3(2(z0)))))))))))), 2'(0(0(1(1(0(3(0(1(3(2(z0))))))))))), 0'(0(1(1(0(3(0(1(3(2(z0)))))))))), 0'(1(1(0(3(0(1(3(2(z0))))))))), 1'(1(0(3(0(1(3(2(z0)))))))), 1'(0(3(0(1(3(2(z0))))))), 0'(3(0(1(3(2(z0)))))), 3'(0(1(3(2(z0))))), 0'(1(3(2(z0)))), 1'(3(2(z0))), 3'(2(z0)), 2'(z0))
   0'(c_2(c_1(c_0(c_3(c_0(c_3(c_0(c_3(c_2(c_0(c_1(c_0(c_1(c_2(c_2(c_1(c_1(z0)))))))))))))))))) -> c15(0'(2(3(0(3(2(2(1(2(1(1(0(0(3(0(0(1(1(z0)))))))))))))))))), 2'(3(0(3(2(2(1(2(1(1(0(0(3(0(0(1(1(z0))))))))))))))))), 3'(0(3(2(2(1(2(1(1(0(0(3(0(0(1(1(z0)))))))))))))))), 0'(3(2(2(1(2(1(1(0(0(3(0(0(1(1(z0))))))))))))))), 3'(2(2(1(2(1(1(0(0(3(0(0(1(1(z0)))))))))))))), 2'(2(1(2(1(1(0(0(3(0(0(1(1(z0))))))))))))), 2'(1(2(1(1(0(0(3(0(0(1(1(z0)))))))))))), 1'(2(1(1(0(0(3(0(0(1(1(z0))))))))))), 2'(1(1(0(0(3(0(0(1(1(z0)))))))))), 1'(1(0(0(3(0(0(1(1(z0))))))))), 1'(0(0(3(0(0(1(1(z0)))))))), 0'(0(3(0(0(1(1(z0))))))), 0'(3(0(0(1(1(z0)))))), 3'(0(0(1(1(z0))))), 0'(0(1(1(z0)))), 0'(1(1(z0))), 1'(1(z0)), 1'(z0))
   0'(c_0(c_2(c_2(c_1(c_3(c_2(c_2(c_2(c_1(c_0(c_2(c_2(c_0(c_2(c_2(c_0(c_0(z0)))))))))))))))))) -> c16(0'(2(2(2(2(1(3(0(0(2(1(0(2(2(2(2(0(0(z0)))))))))))))))))), 2'(2(2(2(1(3(0(0(2(1(0(2(2(2(2(0(0(z0))))))))))))))))), 2'(2(2(1(3(0(0(2(1(0(2(2(2(2(0(0(z0)))))))))))))))), 2'(2(1(3(0(0(2(1(0(2(2(2(2(0(0(z0))))))))))))))), 2'(1(3(0(0(2(1(0(2(2(2(2(0(0(z0)))))))))))))), 1'(3(0(0(2(1(0(2(2(2(2(0(0(z0))))))))))))), 3'(0(0(2(1(0(2(2(2(2(0(0(z0)))))))))))), 0'(0(2(1(0(2(2(2(2(0(0(z0))))))))))), 0'(2(1(0(2(2(2(2(0(0(z0)))))))))), 2'(1(0(2(2(2(2(0(0(z0))))))))), 1'(0(2(2(2(2(0(0(z0)))))))), 0'(2(2(2(2(0(0(z0))))))), 2'(2(2(2(0(0(z0)))))), 2'(2(2(0(0(z0))))), 2'(2(0(0(z0)))), 2'(0(0(z0))), 0'(0(z0)), 0'(z0))
   0'(c_3(c_1(c_1(c_2(c_3(c_0(c_3(c_0(c_1(c_0(c_1(c_2(c_2(c_1(c_0(c_2(c_2(z0)))))))))))))))))) -> c17(0'(0(1(3(0(0(2(2(2(3(2(1(1(1(1(0(3(2(z0)))))))))))))))))), 0'(1(3(0(0(2(2(2(3(2(1(1(1(1(0(3(2(z0))))))))))))))))), 1'(3(0(0(2(2(2(3(2(1(1(1(1(0(3(2(z0)))))))))))))))), 3'(0(0(2(2(2(3(2(1(1(1(1(0(3(2(z0))))))))))))))), 0'(0(2(2(2(3(2(1(1(1(1(0(3(2(z0)))))))))))))), 0'(2(2(2(3(2(1(1(1(1(0(3(2(z0))))))))))))), 2'(2(2(3(2(1(1(1(1(0(3(2(z0)))))))))))), 2'(2(3(2(1(1(1(1(0(3(2(z0))))))))))), 2'(3(2(1(1(1(1(0(3(2(z0)))))))))), 3'(2(1(1(1(1(0(3(2(z0))))))))), 2'(1(1(1(1(0(3(2(z0)))))))), 1'(1(1(1(0(3(2(z0))))))), 1'(1(1(0(3(2(z0)))))), 1'(1(0(3(2(z0))))), 1'(0(3(2(z0)))), 0'(3(2(z0))), 3'(2(z0)), 2'(z0))
   0'(c_1(c_1(c_1(c_1(c_3(c_1(c_1(c_0(c_1(c_3(c_1(c_0(c_2(c_3(c_3(c_3(c_2(z0)))))))))))))))))) -> c18(0'(2(0(1(3(1(1(3(1(0(1(3(2(1(3(1(1(3(z0)))))))))))))))))), 2'(0(1(3(1(1(3(1(0(1(3(2(1(3(1(1(3(z0))))))))))))))))), 0'(1(3(1(1(3(1(0(1(3(2(1(3(1(1(3(z0)))))))))))))))), 1'(3(1(1(3(1(0(1(3(2(1(3(1(1(3(z0))))))))))))))), 3'(1(1(3(1(0(1(3(2(1(3(1(1(3(z0)))))))))))))), 1'(1(3(1(0(1(3(2(1(3(1(1(3(z0))))))))))))), 1'(3(1(0(1(3(2(1(3(1(1(3(z0)))))))))))), 3'(1(0(1(3(2(1(3(1(1(3(z0))))))))))), 1'(0(1(3(2(1(3(1(1(3(z0)))))))))), 0'(1(3(2(1(3(1(1(3(z0))))))))), 1'(3(2(1(3(1(1(3(z0)))))))), 3'(2(1(3(1(1(3(z0))))))), 2'(1(3(1(1(3(z0)))))), 1'(3(1(1(3(z0))))), 3'(1(1(3(z0)))), 1'(1(3(z0))), 1'(3(z0)), 3'(z0))
   0'(c_3(c_0(c_1(c_0(c_3(c_0(c_1(c_1(c_1(c_2(c_0(c_0(c_0(c_3(c_2(c_1(c_0(z0)))))))))))))))))) -> c19(0'(0(2(2(1(3(0(0(1(3(0(1(0(1(0(0(1(3(z0)))))))))))))))))), 0'(2(2(1(3(0(0(1(3(0(1(0(1(0(0(1(3(z0))))))))))))))))), 2'(2(1(3(0(0(1(3(0(1(0(1(0(0(1(3(z0)))))))))))))))), 2'(1(3(0(0(1(3(0(1(0(1(0(0(1(3(z0))))))))))))))), 1'(3(0(0(1(3(0(1(0(1(0(0(1(3(z0)))))))))))))), 3'(0(0(1(3(0(1(0(1(0(0(1(3(z0))))))))))))), 0'(0(1(3(0(1(0(1(0(0(1(3(z0)))))))))))), 0'(1(3(0(1(0(1(0(0(1(3(z0))))))))))), 1'(3(0(1(0(1(0(0(1(3(z0)))))))))), 3'(0(1(0(1(0(0(1(3(z0))))))))), 0'(1(0(1(0(0(1(3(z0)))))))), 1'(0(1(0(0(1(3(z0))))))), 0'(1(0(0(1(3(z0)))))), 1'(0(0(1(3(z0))))), 0'(0(1(3(z0)))), 0'(1(3(z0))), 1'(3(z0)), 3'(z0))
   1'(c_0(c_1(c_0(c_2(c_0(c_2(c_3(c_1(c_1(c_2(c_2(c_0(c_0(c_3(c_0(c_3(c_2(z0)))))))))))))))))) -> c21(0'(0(0(1(1(3(1(3(2(0(0(2(2(1(3(0(2(2(z0)))))))))))))))))), 0'(0(1(1(3(1(3(2(0(0(2(2(1(3(0(2(2(z0))))))))))))))))), 0'(1(1(3(1(3(2(0(0(2(2(1(3(0(2(2(z0)))))))))))))))), 1'(1(3(1(3(2(0(0(2(2(1(3(0(2(2(z0))))))))))))))), 1'(3(1(3(2(0(0(2(2(1(3(0(2(2(z0)))))))))))))), 3'(1(3(2(0(0(2(2(1(3(0(2(2(z0))))))))))))), 1'(3(2(0(0(2(2(1(3(0(2(2(z0)))))))))))), 3'(2(0(0(2(2(1(3(0(2(2(z0))))))))))), 2'(0(0(2(2(1(3(0(2(2(z0)))))))))), 0'(0(2(2(1(3(0(2(2(z0))))))))), 0'(2(2(1(3(0(2(2(z0)))))))), 2'(2(1(3(0(2(2(z0))))))), 2'(1(3(0(2(2(z0)))))), 1'(3(0(2(2(z0))))), 3'(0(2(2(z0)))), 0'(2(2(z0))), 2'(2(z0)), 2'(z0))
   1'(c_2(c_0(c_0(c_2(c_1(c_3(c_2(c_2(c_3(c_2(c_2(c_0(c_3(c_2(c_3(c_2(c_2(z0)))))))))))))))))) -> c22(1'(2(0(3(2(2(2(2(3(0(0(2(2(2(3(1(3(2(z0)))))))))))))))))), 2'(0(3(2(2(2(2(3(0(0(2(2(2(3(1(3(2(z0))))))))))))))))), 0'(3(2(2(2(2(3(0(0(2(2(2(3(1(3(2(z0)))))))))))))))), 3'(2(2(2(2(3(0(0(2(2(2(3(1(3(2(z0))))))))))))))), 2'(2(2(2(3(0(0(2(2(2(3(1(3(2(z0)))))))))))))), 2'(2(2(3(0(0(2(2(2(3(1(3(2(z0))))))))))))), 2'(2(3(0(0(2(2(2(3(1(3(2(z0)))))))))))), 2'(3(0(0(2(2(2(3(1(3(2(z0))))))))))), 3'(0(0(2(2(2(3(1(3(2(z0)))))))))), 0'(0(2(2(2(3(1(3(2(z0))))))))), 0'(2(2(2(3(1(3(2(z0)))))))), 2'(2(2(3(1(3(2(z0))))))), 2'(2(3(1(3(2(z0)))))), 2'(3(1(3(2(z0))))), 3'(1(3(2(z0)))), 1'(3(2(z0))), 3'(2(z0)), 2'(z0))
   1'(c_0(c_2(c_3(c_3(c_3(c_1(c_0(c_2(c_0(c_1(c_2(c_2(c_3(c_2(c_1(c_0(c_1(z0)))))))))))))))))) -> c23(2'(3(2(1(0(1(3(1(3(0(2(3(0(2(0(1(2(1(z0)))))))))))))))))), 3'(2(1(0(1(3(1(3(0(2(3(0(2(0(1(2(1(z0))))))))))))))))), 2'(1(0(1(3(1(3(0(2(3(0(2(0(1(2(1(z0)))))))))))))))), 1'(0(1(3(1(3(0(2(3(0(2(0(1(2(1(z0))))))))))))))), 0'(1(3(1(3(0(2(3(0(2(0(1(2(1(z0)))))))))))))), 1'(3(1(3(0(2(3(0(2(0(1(2(1(z0))))))))))))), 3'(1(3(0(2(3(0(2(0(1(2(1(z0)))))))))))), 1'(3(0(2(3(0(2(0(1(2(1(z0))))))))))), 3'(0(2(3(0(2(0(1(2(1(z0)))))))))), 0'(2(3(0(2(0(1(2(1(z0))))))))), 2'(3(0(2(0(1(2(1(z0)))))))), 3'(0(2(0(1(2(1(z0))))))), 0'(2(0(1(2(1(z0)))))), 2'(0(1(2(1(z0))))), 0'(1(2(1(z0)))), 1'(2(1(z0))), 2'(1(z0)), 1'(z0))
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   0'(c_2(c_3(c_0(c_1(c_2(c_3(c_2(c_0(c_3(c_1(c_0(c_0(c_0(c_3(c_3(c_0(c_3(c_1(c_2(c_0(c_3(c_2(c_2(c_3(c_2(c_0(c_3(c_3(c_2(c_3(c_3(c_1(c_1(c_3(z0))))))))))))))))))))))))))))))))))) -> c9(0'(2(1(3(0(0(3(3(0(1(0(2(2(3(3(0(0(3(2(2(3(1(3(3(2(1(3(3(0(2(0(2(3(1(3(z0))))))))))))))))))))))))))))))))))), 2'(1(3(0(0(3(3(0(1(0(2(2(3(3(0(0(3(c_1(c_2(c_0(c_3(c_2(c_2(c_3(c_2(c_0(c_3(c_3(c_2(c_3(c_3(c_1(c_1(c_3(z0)))))))))))))))))))))))))))))))))), 1'(3(0(0(3(3(0(1(0(2(2(3(3(0(0(3(c_1(c_2(c_0(c_3(c_2(c_2(c_3(c_2(c_0(c_3(c_3(c_2(c_3(c_3(c_1(c_1(c_3(z0))))))))))))))))))))))))))))))))), 3'(0(0(3(3(0(1(0(2(2(3(3(0(0(3(c_1(c_2(c_0(c_3(c_2(c_2(c_3(c_2(c_0(c_3(c_3(c_2(c_3(c_3(c_1(c_1(c_3(z0)))))))))))))))))))))))))))))))), 0'(0(3(3(0(1(0(2(2(3(3(0(0(3(c_1(c_2(c_0(c_3(c_2(c_2(c_3(c_2(c_0(c_3(c_3(c_2(c_3(c_3(c_1(c_1(c_3(z0))))))))))))))))))))))))))))))), 0'(3(3(0(1(0(2(2(3(3(0(0(3(c_1(c_2(c_0(c_3(c_2(c_2(c_3(c_2(c_0(c_3(c_3(c_2(c_3(c_3(c_1(c_1(c_3(z0)))))))))))))))))))))))))))))), 3'(3(0(1(0(2(2(3(3(0(0(3(c_1(c_2(c_0(c_3(c_2(c_2(c_3(c_2(c_0(c_3(c_3(c_2(c_3(c_3(c_1(c_1(c_3(z0))))))))))))))))))))))))))))), 3'(0(1(0(2(2(3(3(0(0(3(c_1(c_2(c_0(c_3(c_2(c_2(c_3(c_2(c_0(c_3(c_3(c_2(c_3(c_3(c_1(c_1(c_3(z0)))))))))))))))))))))))))))), 0'(1(0(2(2(3(3(0(0(3(c_1(c_2(c_0(c_3(c_2(c_2(c_3(c_2(c_0(c_3(c_3(c_2(c_3(c_3(c_1(c_1(c_3(z0))))))))))))))))))))))))))), 1'(0(2(2(3(3(0(0(3(c_1(c_2(c_0(c_3(c_2(c_2(c_3(c_2(c_0(c_3(c_3(c_2(c_3(c_3(c_1(c_1(c_3(z0)))))))))))))))))))))))))), 0'(2(2(3(3(0(0(3(c_1(c_2(c_0(c_3(c_2(c_2(c_3(c_2(c_0(c_3(c_3(c_2(c_3(c_3(c_1(c_1(c_3(z0))))))))))))))))))))))))), 2'(2(3(3(0(0(3(c_1(c_2(c_0(c_3(c_2(c_2(c_3(c_2(c_0(c_3(c_3(c_2(c_3(c_3(c_1(c_1(c_3(z0)))))))))))))))))))))))), 2'(3(3(0(0(3(c_1(c_2(c_0(c_3(c_2(c_2(c_3(c_2(c_0(c_3(c_3(c_2(c_3(c_3(c_1(c_1(c_3(z0))))))))))))))))))))))), 3'(3(0(0(3(c_1(c_2(c_0(c_3(c_2(c_2(c_3(c_2(c_0(c_3(c_3(c_2(c_3(c_3(c_1(c_1(c_3(z0)))))))))))))))))))))), 3'(0(0(3(c_1(c_2(c_0(c_3(c_2(c_2(c_3(c_2(c_0(c_3(c_3(c_2(c_3(c_3(c_1(c_1(c_3(z0))))))))))))))))))))), 0'(0(3(c_1(c_2(c_0(c_3(c_2(c_2(c_3(c_2(c_0(c_3(c_3(c_2(c_3(c_3(c_1(c_1(c_3(z0)))))))))))))))))))), 0'(3(c_1(c_2(c_0(c_3(c_2(c_2(c_3(c_2(c_0(c_3(c_3(c_2(c_3(c_3(c_1(c_1(c_3(z0))))))))))))))))))), 3'(c_1(c_2(c_0(c_3(c_2(c_2(c_3(c_2(c_0(c_3(c_3(c_2(c_3(c_3(c_1(c_1(c_3(z0)))))))))))))))))))
   0'(c_2(c_3(c_0(c_1(c_2(c_3(c_2(c_0(c_3(c_1(c_0(c_0(c_0(c_3(c_3(c_0(c_3(c_2(c_0(c_1(c_2(c_1(c_0(c_3(c_3(c_3(c_3(c_1(c_2(c_1(c_1(c_0(c_1(c_0(z0))))))))))))))))))))))))))))))))))) -> c9(0'(2(1(3(0(0(3(3(0(1(0(2(2(3(3(0(0(3(0(0(2(1(3(2(3(3(1(1(3(1(1(0(2(0(1(z0))))))))))))))))))))))))))))))))))), 2'(1(3(0(0(3(3(0(1(0(2(2(3(3(0(0(3(c_2(c_0(c_1(c_2(c_1(c_0(c_3(c_3(c_3(c_3(c_1(c_2(c_1(c_1(c_0(c_1(c_0(z0)))))))))))))))))))))))))))))))))), 1'(3(0(0(3(3(0(1(0(2(2(3(3(0(0(3(c_2(c_0(c_1(c_2(c_1(c_0(c_3(c_3(c_3(c_3(c_1(c_2(c_1(c_1(c_0(c_1(c_0(z0))))))))))))))))))))))))))))))))), 3'(0(0(3(3(0(1(0(2(2(3(3(0(0(3(c_2(c_0(c_1(c_2(c_1(c_0(c_3(c_3(c_3(c_3(c_1(c_2(c_1(c_1(c_0(c_1(c_0(z0)))))))))))))))))))))))))))))))), 0'(0(3(3(0(1(0(2(2(3(3(0(0(3(c_2(c_0(c_1(c_2(c_1(c_0(c_3(c_3(c_3(c_3(c_1(c_2(c_1(c_1(c_0(c_1(c_0(z0))))))))))))))))))))))))))))))), 0'(3(3(0(1(0(2(2(3(3(0(0(3(c_2(c_0(c_1(c_2(c_1(c_0(c_3(c_3(c_3(c_3(c_1(c_2(c_1(c_1(c_0(c_1(c_0(z0)))))))))))))))))))))))))))))), 3'(3(0(1(0(2(2(3(3(0(0(3(c_2(c_0(c_1(c_2(c_1(c_0(c_3(c_3(c_3(c_3(c_1(c_2(c_1(c_1(c_0(c_1(c_0(z0))))))))))))))))))))))))))))), 3'(0(1(0(2(2(3(3(0(0(3(c_2(c_0(c_1(c_2(c_1(c_0(c_3(c_3(c_3(c_3(c_1(c_2(c_1(c_1(c_0(c_1(c_0(z0)))))))))))))))))))))))))))), 0'(1(0(2(2(3(3(0(0(3(c_2(c_0(c_1(c_2(c_1(c_0(c_3(c_3(c_3(c_3(c_1(c_2(c_1(c_1(c_0(c_1(c_0(z0))))))))))))))))))))))))))), 1'(0(2(2(3(3(0(0(3(c_2(c_0(c_1(c_2(c_1(c_0(c_3(c_3(c_3(c_3(c_1(c_2(c_1(c_1(c_0(c_1(c_0(z0)))))))))))))))))))))))))), 0'(2(2(3(3(0(0(3(c_2(c_0(c_1(c_2(c_1(c_0(c_3(c_3(c_3(c_3(c_1(c_2(c_1(c_1(c_0(c_1(c_0(z0))))))))))))))))))))))))), 2'(2(3(3(0(0(3(c_2(c_0(c_1(c_2(c_1(c_0(c_3(c_3(c_3(c_3(c_1(c_2(c_1(c_1(c_0(c_1(c_0(z0)))))))))))))))))))))))), 2'(3(3(0(0(3(c_2(c_0(c_1(c_2(c_1(c_0(c_3(c_3(c_3(c_3(c_1(c_2(c_1(c_1(c_0(c_1(c_0(z0))))))))))))))))))))))), 3'(3(0(0(3(c_2(c_0(c_1(c_2(c_1(c_0(c_3(c_3(c_3(c_3(c_1(c_2(c_1(c_1(c_0(c_1(c_0(z0)))))))))))))))))))))), 3'(0(0(3(c_2(c_0(c_1(c_2(c_1(c_0(c_3(c_3(c_3(c_3(c_1(c_2(c_1(c_1(c_0(c_1(c_0(z0))))))))))))))))))))), 0'(0(3(c_2(c_0(c_1(c_2(c_1(c_0(c_3(c_3(c_3(c_3(c_1(c_2(c_1(c_1(c_0(c_1(c_0(z0)))))))))))))))))))), 0'(3(c_2(c_0(c_1(c_2(c_1(c_0(c_3(c_3(c_3(c_3(c_1(c_2(c_1(c_1(c_0(c_1(c_0(z0))))))))))))))))))), 3'(c_2(c_0(c_1(c_2(c_1(c_0(c_3(c_3(c_3(c_3(c_1(c_2(c_1(c_1(c_0(c_1(c_0(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_2_1, ENCODE_1_1, ENCODE_3_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, c21_18, c22_18, c23_18, c24_18, c25_18, c26_18, c27_18, c28_18, c29_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, c43_18, c44_18, c45_18, c46_18, c47_18, c48_18, c49_18, c50_18, c51_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_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, 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


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

(57) CdtNarrowingProof (BOTH BOUNDS(ID, ID))
Use narrowing to replace 0'(c_1(c_0(c_2(c_1(c_1(c_0(c_0(c_1(c_0(c_3(c_1(c_1(c_0(c_2(c_1(c_2(c_3(z0)))))))))))))))))) -> c10(0'(1(2(0(0(2(1(1(0(1(1(1(0(1(3(0(2(3(z0)))))))))))))))))), 1'(2(0(0(2(1(1(0(1(1(1(0(1(3(0(2(3(z0))))))))))))))))), 2'(0(0(2(1(1(0(1(1(1(0(1(3(0(2(3(z0)))))))))))))))), 0'(0(2(1(1(0(1(1(1(0(1(3(0(2(3(z0))))))))))))))), 0'(2(1(1(0(1(1(1(0(1(3(0(2(3(z0)))))))))))))), 2'(1(1(0(1(1(1(0(1(3(0(2(3(z0))))))))))))), 1'(1(0(1(1(1(0(1(3(0(2(3(z0)))))))))))), 1'(0(1(1(1(0(1(3(0(2(3(z0))))))))))), 0'(1(1(1(0(1(3(0(2(3(z0)))))))))), 1'(1(1(0(1(3(0(2(3(z0))))))))), 1'(1(0(1(3(0(2(3(z0)))))))), 1'(0(1(3(0(2(3(z0))))))), 0'(1(3(0(2(3(z0)))))), 1'(3(0(2(3(z0))))), 3'(0(2(3(z0)))), 0'(2(3(z0))), 2'(3(z0)), 3'(z0)) by 
   0'(c_1(c_0(c_2(c_1(c_1(c_0(c_0(c_1(c_0(c_3(c_1(c_1(c_0(c_2(c_1(c_2(c_3(x0)))))))))))))))))) -> c10(0'(c_1(2(0(0(2(1(1(0(1(1(1(0(1(3(0(2(3(x0)))))))))))))))))), 1'(2(0(0(2(1(1(0(1(1(1(0(1(3(0(2(3(x0))))))))))))))))), 2'(0(0(2(1(1(0(1(1(1(0(1(3(0(2(3(x0)))))))))))))))), 0'(0(2(1(1(0(1(1(1(0(1(3(0(2(3(x0))))))))))))))), 0'(2(1(1(0(1(1(1(0(1(3(0(2(3(x0)))))))))))))), 2'(1(1(0(1(1(1(0(1(3(0(2(3(x0))))))))))))), 1'(1(0(1(1(1(0(1(3(0(2(3(x0)))))))))))), 1'(0(1(1(1(0(1(3(0(2(3(x0))))))))))), 0'(1(1(1(0(1(3(0(2(3(x0)))))))))), 1'(1(1(0(1(3(0(2(3(x0))))))))), 1'(1(0(1(3(0(2(3(x0)))))))), 1'(0(1(3(0(2(3(x0))))))), 0'(1(3(0(2(3(x0)))))), 1'(3(0(2(3(x0))))), 3'(0(2(3(x0)))), 0'(2(3(x0))), 2'(3(x0)), 3'(x0))
   0'(c_1(c_0(c_2(c_1(c_1(c_0(c_0(c_1(c_0(c_3(c_1(c_1(c_0(c_2(c_1(c_2(c_3(x0)))))))))))))))))) -> c10(0'(1(c_2(0(0(2(1(1(0(1(1(1(0(1(3(0(2(3(x0)))))))))))))))))), 1'(2(0(0(2(1(1(0(1(1(1(0(1(3(0(2(3(x0))))))))))))))))), 2'(0(0(2(1(1(0(1(1(1(0(1(3(0(2(3(x0)))))))))))))))), 0'(0(2(1(1(0(1(1(1(0(1(3(0(2(3(x0))))))))))))))), 0'(2(1(1(0(1(1(1(0(1(3(0(2(3(x0)))))))))))))), 2'(1(1(0(1(1(1(0(1(3(0(2(3(x0))))))))))))), 1'(1(0(1(1(1(0(1(3(0(2(3(x0)))))))))))), 1'(0(1(1(1(0(1(3(0(2(3(x0))))))))))), 0'(1(1(1(0(1(3(0(2(3(x0)))))))))), 1'(1(1(0(1(3(0(2(3(x0))))))))), 1'(1(0(1(3(0(2(3(x0)))))))), 1'(0(1(3(0(2(3(x0))))))), 0'(1(3(0(2(3(x0)))))), 1'(3(0(2(3(x0))))), 3'(0(2(3(x0)))), 0'(2(3(x0))), 2'(3(x0)), 3'(x0))
   0'(c_1(c_0(c_2(c_1(c_1(c_0(c_0(c_1(c_0(c_3(c_1(c_1(c_0(c_2(c_1(c_2(c_3(x0)))))))))))))))))) -> c10(0'(1(2(c_0(0(2(1(1(0(1(1(1(0(1(3(0(2(3(x0)))))))))))))))))), 1'(2(0(0(2(1(1(0(1(1(1(0(1(3(0(2(3(x0))))))))))))))))), 2'(0(0(2(1(1(0(1(1(1(0(1(3(0(2(3(x0)))))))))))))))), 0'(0(2(1(1(0(1(1(1(0(1(3(0(2(3(x0))))))))))))))), 0'(2(1(1(0(1(1(1(0(1(3(0(2(3(x0)))))))))))))), 2'(1(1(0(1(1(1(0(1(3(0(2(3(x0))))))))))))), 1'(1(0(1(1(1(0(1(3(0(2(3(x0)))))))))))), 1'(0(1(1(1(0(1(3(0(2(3(x0))))))))))), 0'(1(1(1(0(1(3(0(2(3(x0)))))))))), 1'(1(1(0(1(3(0(2(3(x0))))))))), 1'(1(0(1(3(0(2(3(x0)))))))), 1'(0(1(3(0(2(3(x0))))))), 0'(1(3(0(2(3(x0)))))), 1'(3(0(2(3(x0))))), 3'(0(2(3(x0)))), 0'(2(3(x0))), 2'(3(x0)), 3'(x0))
   0'(c_1(c_0(c_2(c_1(c_1(c_0(c_0(c_1(c_0(c_3(c_1(c_1(c_0(c_2(c_1(c_2(c_3(x0)))))))))))))))))) -> c10(0'(1(2(0(c_0(2(1(1(0(1(1(1(0(1(3(0(2(3(x0)))))))))))))))))), 1'(2(0(0(2(1(1(0(1(1(1(0(1(3(0(2(3(x0))))))))))))))))), 2'(0(0(2(1(1(0(1(1(1(0(1(3(0(2(3(x0)))))))))))))))), 0'(0(2(1(1(0(1(1(1(0(1(3(0(2(3(x0))))))))))))))), 0'(2(1(1(0(1(1(1(0(1(3(0(2(3(x0)))))))))))))), 2'(1(1(0(1(1(1(0(1(3(0(2(3(x0))))))))))))), 1'(1(0(1(1(1(0(1(3(0(2(3(x0)))))))))))), 1'(0(1(1(1(0(1(3(0(2(3(x0))))))))))), 0'(1(1(1(0(1(3(0(2(3(x0)))))))))), 1'(1(1(0(1(3(0(2(3(x0))))))))), 1'(1(0(1(3(0(2(3(x0)))))))), 1'(0(1(3(0(2(3(x0))))))), 0'(1(3(0(2(3(x0)))))), 1'(3(0(2(3(x0))))), 3'(0(2(3(x0)))), 0'(2(3(x0))), 2'(3(x0)), 3'(x0))
   0'(c_1(c_0(c_2(c_1(c_1(c_0(c_0(c_1(c_0(c_3(c_1(c_1(c_0(c_2(c_1(c_2(c_3(x0)))))))))))))))))) -> c10(0'(1(2(0(0(c_2(1(1(0(1(1(1(0(1(3(0(2(3(x0)))))))))))))))))), 1'(2(0(0(2(1(1(0(1(1(1(0(1(3(0(2(3(x0))))))))))))))))), 2'(0(0(2(1(1(0(1(1(1(0(1(3(0(2(3(x0)))))))))))))))), 0'(0(2(1(1(0(1(1(1(0(1(3(0(2(3(x0))))))))))))))), 0'(2(1(1(0(1(1(1(0(1(3(0(2(3(x0)))))))))))))), 2'(1(1(0(1(1(1(0(1(3(0(2(3(x0))))))))))))), 1'(1(0(1(1(1(0(1(3(0(2(3(x0)))))))))))), 1'(0(1(1(1(0(1(3(0(2(3(x0))))))))))), 0'(1(1(1(0(1(3(0(2(3(x0)))))))))), 1'(1(1(0(1(3(0(2(3(x0))))))))), 1'(1(0(1(3(0(2(3(x0)))))))), 1'(0(1(3(0(2(3(x0))))))), 0'(1(3(0(2(3(x0)))))), 1'(3(0(2(3(x0))))), 3'(0(2(3(x0)))), 0'(2(3(x0))), 2'(3(x0)), 3'(x0))
   0'(c_1(c_0(c_2(c_1(c_1(c_0(c_0(c_1(c_0(c_3(c_1(c_1(c_0(c_2(c_1(c_2(c_3(x0)))))))))))))))))) -> c10(0'(1(2(0(0(2(c_1(1(0(1(1(1(0(1(3(0(2(3(x0)))))))))))))))))), 1'(2(0(0(2(1(1(0(1(1(1(0(1(3(0(2(3(x0))))))))))))))))), 2'(0(0(2(1(1(0(1(1(1(0(1(3(0(2(3(x0)))))))))))))))), 0'(0(2(1(1(0(1(1(1(0(1(3(0(2(3(x0))))))))))))))), 0'(2(1(1(0(1(1(1(0(1(3(0(2(3(x0)))))))))))))), 2'(1(1(0(1(1(1(0(1(3(0(2(3(x0))))))))))))), 1'(1(0(1(1(1(0(1(3(0(2(3(x0)))))))))))), 1'(0(1(1(1(0(1(3(0(2(3(x0))))))))))), 0'(1(1(1(0(1(3(0(2(3(x0)))))))))), 1'(1(1(0(1(3(0(2(3(x0))))))))), 1'(1(0(1(3(0(2(3(x0)))))))), 1'(0(1(3(0(2(3(x0))))))), 0'(1(3(0(2(3(x0)))))), 1'(3(0(2(3(x0))))), 3'(0(2(3(x0)))), 0'(2(3(x0))), 2'(3(x0)), 3'(x0))
   0'(c_1(c_0(c_2(c_1(c_1(c_0(c_0(c_1(c_0(c_3(c_1(c_1(c_0(c_2(c_1(c_2(c_3(x0)))))))))))))))))) -> c10(0'(1(2(0(0(2(1(c_1(0(1(1(1(0(1(3(0(2(3(x0)))))))))))))))))), 1'(2(0(0(2(1(1(0(1(1(1(0(1(3(0(2(3(x0))))))))))))))))), 2'(0(0(2(1(1(0(1(1(1(0(1(3(0(2(3(x0)))))))))))))))), 0'(0(2(1(1(0(1(1(1(0(1(3(0(2(3(x0))))))))))))))), 0'(2(1(1(0(1(1(1(0(1(3(0(2(3(x0)))))))))))))), 2'(1(1(0(1(1(1(0(1(3(0(2(3(x0))))))))))))), 1'(1(0(1(1(1(0(1(3(0(2(3(x0)))))))))))), 1'(0(1(1(1(0(1(3(0(2(3(x0))))))))))), 0'(1(1(1(0(1(3(0(2(3(x0)))))))))), 1'(1(1(0(1(3(0(2(3(x0))))))))), 1'(1(0(1(3(0(2(3(x0)))))))), 1'(0(1(3(0(2(3(x0))))))), 0'(1(3(0(2(3(x0)))))), 1'(3(0(2(3(x0))))), 3'(0(2(3(x0)))), 0'(2(3(x0))), 2'(3(x0)), 3'(x0))
   0'(c_1(c_0(c_2(c_1(c_1(c_0(c_0(c_1(c_0(c_3(c_1(c_1(c_0(c_2(c_1(c_2(c_3(x0)))))))))))))))))) -> c10(0'(1(2(0(0(2(1(1(c_0(1(1(1(0(1(3(0(2(3(x0)))))))))))))))))), 1'(2(0(0(2(1(1(0(1(1(1(0(1(3(0(2(3(x0))))))))))))))))), 2'(0(0(2(1(1(0(1(1(1(0(1(3(0(2(3(x0)))))))))))))))), 0'(0(2(1(1(0(1(1(1(0(1(3(0(2(3(x0))))))))))))))), 0'(2(1(1(0(1(1(1(0(1(3(0(2(3(x0)))))))))))))), 2'(1(1(0(1(1(1(0(1(3(0(2(3(x0))))))))))))), 1'(1(0(1(1(1(0(1(3(0(2(3(x0)))))))))))), 1'(0(1(1(1(0(1(3(0(2(3(x0))))))))))), 0'(1(1(1(0(1(3(0(2(3(x0)))))))))), 1'(1(1(0(1(3(0(2(3(x0))))))))), 1'(1(0(1(3(0(2(3(x0)))))))), 1'(0(1(3(0(2(3(x0))))))), 0'(1(3(0(2(3(x0)))))), 1'(3(0(2(3(x0))))), 3'(0(2(3(x0)))), 0'(2(3(x0))), 2'(3(x0)), 3'(x0))
   0'(c_1(c_0(c_2(c_1(c_1(c_0(c_0(c_1(c_0(c_3(c_1(c_1(c_0(c_2(c_1(c_2(c_3(x0)))))))))))))))))) -> c10(0'(1(2(0(0(2(1(1(0(c_1(1(1(0(1(3(0(2(3(x0)))))))))))))))))), 1'(2(0(0(2(1(1(0(1(1(1(0(1(3(0(2(3(x0))))))))))))))))), 2'(0(0(2(1(1(0(1(1(1(0(1(3(0(2(3(x0)))))))))))))))), 0'(0(2(1(1(0(1(1(1(0(1(3(0(2(3(x0))))))))))))))), 0'(2(1(1(0(1(1(1(0(1(3(0(2(3(x0)))))))))))))), 2'(1(1(0(1(1(1(0(1(3(0(2(3(x0))))))))))))), 1'(1(0(1(1(1(0(1(3(0(2(3(x0)))))))))))), 1'(0(1(1(1(0(1(3(0(2(3(x0))))))))))), 0'(1(1(1(0(1(3(0(2(3(x0)))))))))), 1'(1(1(0(1(3(0(2(3(x0))))))))), 1'(1(0(1(3(0(2(3(x0)))))))), 1'(0(1(3(0(2(3(x0))))))), 0'(1(3(0(2(3(x0)))))), 1'(3(0(2(3(x0))))), 3'(0(2(3(x0)))), 0'(2(3(x0))), 2'(3(x0)), 3'(x0))
   0'(c_1(c_0(c_2(c_1(c_1(c_0(c_0(c_1(c_0(c_3(c_1(c_1(c_0(c_2(c_1(c_2(c_3(x0)))))))))))))))))) -> c10(0'(1(2(0(0(2(1(1(0(1(c_1(1(0(1(3(0(2(3(x0)))))))))))))))))), 1'(2(0(0(2(1(1(0(1(1(1(0(1(3(0(2(3(x0))))))))))))))))), 2'(0(0(2(1(1(0(1(1(1(0(1(3(0(2(3(x0)))))))))))))))), 0'(0(2(1(1(0(1(1(1(0(1(3(0(2(3(x0))))))))))))))), 0'(2(1(1(0(1(1(1(0(1(3(0(2(3(x0)))))))))))))), 2'(1(1(0(1(1(1(0(1(3(0(2(3(x0))))))))))))), 1'(1(0(1(1(1(0(1(3(0(2(3(x0)))))))))))), 1'(0(1(1(1(0(1(3(0(2(3(x0))))))))))), 0'(1(1(1(0(1(3(0(2(3(x0)))))))))), 1'(1(1(0(1(3(0(2(3(x0))))))))), 1'(1(0(1(3(0(2(3(x0)))))))), 1'(0(1(3(0(2(3(x0))))))), 0'(1(3(0(2(3(x0)))))), 1'(3(0(2(3(x0))))), 3'(0(2(3(x0)))), 0'(2(3(x0))), 2'(3(x0)), 3'(x0))
   0'(c_1(c_0(c_2(c_1(c_1(c_0(c_0(c_1(c_0(c_3(c_1(c_1(c_0(c_2(c_1(c_2(c_3(x0)))))))))))))))))) -> c10(0'(1(2(0(0(2(1(1(0(1(1(c_1(0(1(3(0(2(3(x0)))))))))))))))))), 1'(2(0(0(2(1(1(0(1(1(1(0(1(3(0(2(3(x0))))))))))))))))), 2'(0(0(2(1(1(0(1(1(1(0(1(3(0(2(3(x0)))))))))))))))), 0'(0(2(1(1(0(1(1(1(0(1(3(0(2(3(x0))))))))))))))), 0'(2(1(1(0(1(1(1(0(1(3(0(2(3(x0)))))))))))))), 2'(1(1(0(1(1(1(0(1(3(0(2(3(x0))))))))))))), 1'(1(0(1(1(1(0(1(3(0(2(3(x0)))))))))))), 1'(0(1(1(1(0(1(3(0(2(3(x0))))))))))), 0'(1(1(1(0(1(3(0(2(3(x0)))))))))), 1'(1(1(0(1(3(0(2(3(x0))))))))), 1'(1(0(1(3(0(2(3(x0)))))))), 1'(0(1(3(0(2(3(x0))))))), 0'(1(3(0(2(3(x0)))))), 1'(3(0(2(3(x0))))), 3'(0(2(3(x0)))), 0'(2(3(x0))), 2'(3(x0)), 3'(x0))
   0'(c_1(c_0(c_2(c_1(c_1(c_0(c_0(c_1(c_0(c_3(c_1(c_1(c_0(c_2(c_1(c_2(c_3(x0)))))))))))))))))) -> c10(0'(1(2(0(0(2(1(1(0(1(1(1(c_0(1(3(0(2(3(x0)))))))))))))))))), 1'(2(0(0(2(1(1(0(1(1(1(0(1(3(0(2(3(x0))))))))))))))))), 2'(0(0(2(1(1(0(1(1(1(0(1(3(0(2(3(x0)))))))))))))))), 0'(0(2(1(1(0(1(1(1(0(1(3(0(2(3(x0))))))))))))))), 0'(2(1(1(0(1(1(1(0(1(3(0(2(3(x0)))))))))))))), 2'(1(1(0(1(1(1(0(1(3(0(2(3(x0))))))))))))), 1'(1(0(1(1(1(0(1(3(0(2(3(x0)))))))))))), 1'(0(1(1(1(0(1(3(0(2(3(x0))))))))))), 0'(1(1(1(0(1(3(0(2(3(x0)))))))))), 1'(1(1(0(1(3(0(2(3(x0))))))))), 1'(1(0(1(3(0(2(3(x0)))))))), 1'(0(1(3(0(2(3(x0))))))), 0'(1(3(0(2(3(x0)))))), 1'(3(0(2(3(x0))))), 3'(0(2(3(x0)))), 0'(2(3(x0))), 2'(3(x0)), 3'(x0))
   0'(c_1(c_0(c_2(c_1(c_1(c_0(c_0(c_1(c_0(c_3(c_1(c_1(c_0(c_2(c_1(c_2(c_3(x0)))))))))))))))))) -> c10(0'(1(2(0(0(2(1(1(0(1(1(1(0(c_1(3(0(2(3(x0)))))))))))))))))), 1'(2(0(0(2(1(1(0(1(1(1(0(1(3(0(2(3(x0))))))))))))))))), 2'(0(0(2(1(1(0(1(1(1(0(1(3(0(2(3(x0)))))))))))))))), 0'(0(2(1(1(0(1(1(1(0(1(3(0(2(3(x0))))))))))))))), 0'(2(1(1(0(1(1(1(0(1(3(0(2(3(x0)))))))))))))), 2'(1(1(0(1(1(1(0(1(3(0(2(3(x0))))))))))))), 1'(1(0(1(1(1(0(1(3(0(2(3(x0)))))))))))), 1'(0(1(1(1(0(1(3(0(2(3(x0))))))))))), 0'(1(1(1(0(1(3(0(2(3(x0)))))))))), 1'(1(1(0(1(3(0(2(3(x0))))))))), 1'(1(0(1(3(0(2(3(x0)))))))), 1'(0(1(3(0(2(3(x0))))))), 0'(1(3(0(2(3(x0)))))), 1'(3(0(2(3(x0))))), 3'(0(2(3(x0)))), 0'(2(3(x0))), 2'(3(x0)), 3'(x0))
   0'(c_1(c_0(c_2(c_1(c_1(c_0(c_0(c_1(c_0(c_3(c_1(c_1(c_0(c_2(c_1(c_2(c_3(x0)))))))))))))))))) -> c10(0'(1(2(0(0(2(1(1(0(1(1(1(0(1(c_3(0(2(3(x0)))))))))))))))))), 1'(2(0(0(2(1(1(0(1(1(1(0(1(3(0(2(3(x0))))))))))))))))), 2'(0(0(2(1(1(0(1(1(1(0(1(3(0(2(3(x0)))))))))))))))), 0'(0(2(1(1(0(1(1(1(0(1(3(0(2(3(x0))))))))))))))), 0'(2(1(1(0(1(1(1(0(1(3(0(2(3(x0)))))))))))))), 2'(1(1(0(1(1(1(0(1(3(0(2(3(x0))))))))))))), 1'(1(0(1(1(1(0(1(3(0(2(3(x0)))))))))))), 1'(0(1(1(1(0(1(3(0(2(3(x0))))))))))), 0'(1(1(1(0(1(3(0(2(3(x0)))))))))), 1'(1(1(0(1(3(0(2(3(x0))))))))), 1'(1(0(1(3(0(2(3(x0)))))))), 1'(0(1(3(0(2(3(x0))))))), 0'(1(3(0(2(3(x0)))))), 1'(3(0(2(3(x0))))), 3'(0(2(3(x0)))), 0'(2(3(x0))), 2'(3(x0)), 3'(x0))
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   0'(c_1(c_0(c_2(c_1(c_1(c_0(c_0(c_1(c_0(c_3(c_1(c_1(c_0(c_2(c_1(c_2(c_3(c_1(c_2(c_0(c_3(c_2(c_2(c_3(c_2(c_0(c_3(c_3(c_2(c_3(c_3(c_1(c_1(c_3(z0))))))))))))))))))))))))))))))))))) -> c10(0'(1(2(0(0(2(1(1(0(1(1(1(0(1(3(0(2(3(2(2(3(1(3(3(2(1(3(3(0(2(0(2(3(1(3(z0))))))))))))))))))))))))))))))))))), 1'(2(0(0(2(1(1(0(1(1(1(0(1(3(0(2(3(c_1(c_2(c_0(c_3(c_2(c_2(c_3(c_2(c_0(c_3(c_3(c_2(c_3(c_3(c_1(c_1(c_3(z0)))))))))))))))))))))))))))))))))), 2'(0(0(2(1(1(0(1(1(1(0(1(3(0(2(3(c_1(c_2(c_0(c_3(c_2(c_2(c_3(c_2(c_0(c_3(c_3(c_2(c_3(c_3(c_1(c_1(c_3(z0))))))))))))))))))))))))))))))))), 0'(0(2(1(1(0(1(1(1(0(1(3(0(2(3(c_1(c_2(c_0(c_3(c_2(c_2(c_3(c_2(c_0(c_3(c_3(c_2(c_3(c_3(c_1(c_1(c_3(z0)))))))))))))))))))))))))))))))), 0'(2(1(1(0(1(1(1(0(1(3(0(2(3(c_1(c_2(c_0(c_3(c_2(c_2(c_3(c_2(c_0(c_3(c_3(c_2(c_3(c_3(c_1(c_1(c_3(z0))))))))))))))))))))))))))))))), 2'(1(1(0(1(1(1(0(1(3(0(2(3(c_1(c_2(c_0(c_3(c_2(c_2(c_3(c_2(c_0(c_3(c_3(c_2(c_3(c_3(c_1(c_1(c_3(z0)))))))))))))))))))))))))))))), 1'(1(0(1(1(1(0(1(3(0(2(3(c_1(c_2(c_0(c_3(c_2(c_2(c_3(c_2(c_0(c_3(c_3(c_2(c_3(c_3(c_1(c_1(c_3(z0))))))))))))))))))))))))))))), 1'(0(1(1(1(0(1(3(0(2(3(c_1(c_2(c_0(c_3(c_2(c_2(c_3(c_2(c_0(c_3(c_3(c_2(c_3(c_3(c_1(c_1(c_3(z0)))))))))))))))))))))))))))), 0'(1(1(1(0(1(3(0(2(3(c_1(c_2(c_0(c_3(c_2(c_2(c_3(c_2(c_0(c_3(c_3(c_2(c_3(c_3(c_1(c_1(c_3(z0))))))))))))))))))))))))))), 1'(1(1(0(1(3(0(2(3(c_1(c_2(c_0(c_3(c_2(c_2(c_3(c_2(c_0(c_3(c_3(c_2(c_3(c_3(c_1(c_1(c_3(z0)))))))))))))))))))))))))), 1'(1(0(1(3(0(2(3(c_1(c_2(c_0(c_3(c_2(c_2(c_3(c_2(c_0(c_3(c_3(c_2(c_3(c_3(c_1(c_1(c_3(z0))))))))))))))))))))))))), 1'(0(1(3(0(2(3(c_1(c_2(c_0(c_3(c_2(c_2(c_3(c_2(c_0(c_3(c_3(c_2(c_3(c_3(c_1(c_1(c_3(z0)))))))))))))))))))))))), 0'(1(3(0(2(3(c_1(c_2(c_0(c_3(c_2(c_2(c_3(c_2(c_0(c_3(c_3(c_2(c_3(c_3(c_1(c_1(c_3(z0))))))))))))))))))))))), 1'(3(0(2(3(c_1(c_2(c_0(c_3(c_2(c_2(c_3(c_2(c_0(c_3(c_3(c_2(c_3(c_3(c_1(c_1(c_3(z0)))))))))))))))))))))), 3'(0(2(3(c_1(c_2(c_0(c_3(c_2(c_2(c_3(c_2(c_0(c_3(c_3(c_2(c_3(c_3(c_1(c_1(c_3(z0))))))))))))))))))))), 0'(2(3(c_1(c_2(c_0(c_3(c_2(c_2(c_3(c_2(c_0(c_3(c_3(c_2(c_3(c_3(c_1(c_1(c_3(z0)))))))))))))))))))), 2'(3(c_1(c_2(c_0(c_3(c_2(c_2(c_3(c_2(c_0(c_3(c_3(c_2(c_3(c_3(c_1(c_1(c_3(z0))))))))))))))))))), 3'(c_1(c_2(c_0(c_3(c_2(c_2(c_3(c_2(c_0(c_3(c_3(c_2(c_3(c_3(c_1(c_1(c_3(z0)))))))))))))))))))
   0'(c_1(c_0(c_2(c_1(c_1(c_0(c_0(c_1(c_0(c_3(c_1(c_1(c_0(c_2(c_1(c_2(c_3(c_2(c_0(c_1(c_2(c_1(c_0(c_3(c_3(c_3(c_3(c_1(c_2(c_1(c_1(c_0(c_1(c_0(z0))))))))))))))))))))))))))))))))))) -> c10(0'(1(2(0(0(2(1(1(0(1(1(1(0(1(3(0(2(3(0(0(2(1(3(2(3(3(1(1(3(1(1(0(2(0(1(z0))))))))))))))))))))))))))))))))))), 1'(2(0(0(2(1(1(0(1(1(1(0(1(3(0(2(3(c_2(c_0(c_1(c_2(c_1(c_0(c_3(c_3(c_3(c_3(c_1(c_2(c_1(c_1(c_0(c_1(c_0(z0)))))))))))))))))))))))))))))))))), 2'(0(0(2(1(1(0(1(1(1(0(1(3(0(2(3(c_2(c_0(c_1(c_2(c_1(c_0(c_3(c_3(c_3(c_3(c_1(c_2(c_1(c_1(c_0(c_1(c_0(z0))))))))))))))))))))))))))))))))), 0'(0(2(1(1(0(1(1(1(0(1(3(0(2(3(c_2(c_0(c_1(c_2(c_1(c_0(c_3(c_3(c_3(c_3(c_1(c_2(c_1(c_1(c_0(c_1(c_0(z0)))))))))))))))))))))))))))))))), 0'(2(1(1(0(1(1(1(0(1(3(0(2(3(c_2(c_0(c_1(c_2(c_1(c_0(c_3(c_3(c_3(c_3(c_1(c_2(c_1(c_1(c_0(c_1(c_0(z0))))))))))))))))))))))))))))))), 2'(1(1(0(1(1(1(0(1(3(0(2(3(c_2(c_0(c_1(c_2(c_1(c_0(c_3(c_3(c_3(c_3(c_1(c_2(c_1(c_1(c_0(c_1(c_0(z0)))))))))))))))))))))))))))))), 1'(1(0(1(1(1(0(1(3(0(2(3(c_2(c_0(c_1(c_2(c_1(c_0(c_3(c_3(c_3(c_3(c_1(c_2(c_1(c_1(c_0(c_1(c_0(z0))))))))))))))))))))))))))))), 1'(0(1(1(1(0(1(3(0(2(3(c_2(c_0(c_1(c_2(c_1(c_0(c_3(c_3(c_3(c_3(c_1(c_2(c_1(c_1(c_0(c_1(c_0(z0)))))))))))))))))))))))))))), 0'(1(1(1(0(1(3(0(2(3(c_2(c_0(c_1(c_2(c_1(c_0(c_3(c_3(c_3(c_3(c_1(c_2(c_1(c_1(c_0(c_1(c_0(z0))))))))))))))))))))))))))), 1'(1(1(0(1(3(0(2(3(c_2(c_0(c_1(c_2(c_1(c_0(c_3(c_3(c_3(c_3(c_1(c_2(c_1(c_1(c_0(c_1(c_0(z0)))))))))))))))))))))))))), 1'(1(0(1(3(0(2(3(c_2(c_0(c_1(c_2(c_1(c_0(c_3(c_3(c_3(c_3(c_1(c_2(c_1(c_1(c_0(c_1(c_0(z0))))))))))))))))))))))))), 1'(0(1(3(0(2(3(c_2(c_0(c_1(c_2(c_1(c_0(c_3(c_3(c_3(c_3(c_1(c_2(c_1(c_1(c_0(c_1(c_0(z0)))))))))))))))))))))))), 0'(1(3(0(2(3(c_2(c_0(c_1(c_2(c_1(c_0(c_3(c_3(c_3(c_3(c_1(c_2(c_1(c_1(c_0(c_1(c_0(z0))))))))))))))))))))))), 1'(3(0(2(3(c_2(c_0(c_1(c_2(c_1(c_0(c_3(c_3(c_3(c_3(c_1(c_2(c_1(c_1(c_0(c_1(c_0(z0)))))))))))))))))))))), 3'(0(2(3(c_2(c_0(c_1(c_2(c_1(c_0(c_3(c_3(c_3(c_3(c_1(c_2(c_1(c_1(c_0(c_1(c_0(z0))))))))))))))))))))), 0'(2(3(c_2(c_0(c_1(c_2(c_1(c_0(c_3(c_3(c_3(c_3(c_1(c_2(c_1(c_1(c_0(c_1(c_0(z0)))))))))))))))))))), 2'(3(c_2(c_0(c_1(c_2(c_1(c_0(c_3(c_3(c_3(c_3(c_1(c_2(c_1(c_1(c_0(c_1(c_0(z0))))))))))))))))))), 3'(c_2(c_0(c_1(c_2(c_1(c_0(c_3(c_3(c_3(c_3(c_1(c_2(c_1(c_1(c_0(c_1(c_0(z0)))))))))))))))))))

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

(58)
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_2(c_3(c_0(c_1(c_2(c_3(c_2(c_0(c_3(c_1(c_0(c_0(c_0(c_3(c_3(c_0(c_3(z0)))))))))))))))))) -> 0(2(1(3(0(0(3(3(0(1(0(2(2(3(3(0(0(3(z0))))))))))))))))))
   0(c_1(c_0(c_2(c_1(c_1(c_0(c_0(c_1(c_0(c_3(c_1(c_1(c_0(c_2(c_1(c_2(c_3(z0)))))))))))))))))) -> 0(1(2(0(0(2(1(1(0(1(1(1(0(1(3(0(2(3(z0))))))))))))))))))
   0(c_1(c_0(c_3(c_2(c_0(c_0(c_0(c_3(c_3(c_0(c_2(c_2(c_2(c_2(c_1(c_1(c_1(z0)))))))))))))))))) -> 0(0(1(1(3(0(3(0(0(2(2(2(0(2(2(1(3(1(z0))))))))))))))))))
   0(c_0(c_3(c_1(c_0(c_2(c_2(c_0(c_2(c_3(c_1(c_1(c_0(c_1(c_2(c_2(c_0(c_1(z0)))))))))))))))))) -> 0(2(1(1(3(0(0(0(1(0(2(3(1(2(2(0(2(1(z0))))))))))))))))))
   0(c_3(c_2(c_0(c_3(c_1(c_0(c_1(c_0(c_3(c_0(c_3(c_0(c_0(c_3(c_0(c_0(c_0(z0)))))))))))))))))) -> 0(3(0(0(0(0(1(2(0(3(3(0(0(3(0(1(3(0(z0))))))))))))))))))
   0(c_1(c_2(c_3(c_2(c_1(c_0(c_1(c_2(c_2(c_0(c_0(c_1(c_0(c_3(c_1(c_0(c_1(z0)))))))))))))))))) -> 0(2(1(1(1(0(2(2(0(0(1(1(0(3(0(1(3(2(z0))))))))))))))))))
   0(c_2(c_1(c_0(c_3(c_0(c_3(c_0(c_3(c_2(c_0(c_1(c_0(c_1(c_2(c_2(c_1(c_1(z0)))))))))))))))))) -> 0(2(3(0(3(2(2(1(2(1(1(0(0(3(0(0(1(1(z0))))))))))))))))))
   0(c_0(c_2(c_2(c_1(c_3(c_2(c_2(c_2(c_1(c_0(c_2(c_2(c_0(c_2(c_2(c_0(c_0(z0)))))))))))))))))) -> 0(2(2(2(2(1(3(0(0(2(1(0(2(2(2(2(0(0(z0))))))))))))))))))
   0(c_3(c_1(c_1(c_2(c_3(c_0(c_3(c_0(c_1(c_0(c_1(c_2(c_2(c_1(c_0(c_2(c_2(z0)))))))))))))))))) -> 0(0(1(3(0(0(2(2(2(3(2(1(1(1(1(0(3(2(z0))))))))))))))))))
   0(c_1(c_1(c_1(c_1(c_3(c_1(c_1(c_0(c_1(c_3(c_1(c_0(c_2(c_3(c_3(c_3(c_2(z0)))))))))))))))))) -> 0(2(0(1(3(1(1(3(1(0(1(3(2(1(3(1(1(3(z0))))))))))))))))))
   0(c_3(c_0(c_1(c_0(c_3(c_0(c_1(c_1(c_1(c_2(c_0(c_0(c_0(c_3(c_2(c_1(c_0(z0)))))))))))))))))) -> 0(0(2(2(1(3(0(0(1(3(0(1(0(1(0(0(1(3(z0))))))))))))))))))
   1(z0) -> c_1(z0)
   1(c_0(c_1(c_0(c_2(c_0(c_2(c_3(c_1(c_1(c_2(c_2(c_0(c_0(c_3(c_0(c_3(c_2(z0)))))))))))))))))) -> 0(0(0(1(1(3(1(3(2(0(0(2(2(1(3(0(2(2(z0))))))))))))))))))
   1(c_2(c_0(c_0(c_2(c_1(c_3(c_2(c_2(c_3(c_2(c_2(c_0(c_3(c_2(c_3(c_2(c_2(z0)))))))))))))))))) -> 1(2(0(3(2(2(2(2(3(0(0(2(2(2(3(1(3(2(z0))))))))))))))))))
   1(c_0(c_2(c_3(c_3(c_3(c_1(c_0(c_2(c_0(c_1(c_2(c_2(c_3(c_2(c_1(c_0(c_1(z0)))))))))))))))))) -> 2(3(2(1(0(1(3(1(3(0(2(3(0(2(0(1(2(1(z0))))))))))))))))))
   1(c_1(c_1(c_2(c_1(c_1(c_1(c_2(c_1(c_3(c_1(c_0(c_1(c_2(c_1(c_2(c_3(c_1(z0)))))))))))))))))) -> 1(1(1(1(1(1(3(0(2(2(1(1(1(2(3(1(2(1(z0))))))))))))))))))
   1(c_1(c_0(c_3(c_1(c_0(c_2(c_3(c_1(c_1(c_0(c_3(c_3(c_0(c_3(c_1(c_1(c_1(z0)))))))))))))))))) -> 1(1(3(1(3(2(3(0(1(0(3(0(1(3(1(0(1(1(z0))))))))))))))))))
   1(c_3(c_2(c_2(c_1(c_0(c_1(c_2(c_1(c_0(c_3(c_1(c_0(c_3(c_2(c_3(c_0(c_3(z0)))))))))))))))))) -> 3(1(3(2(1(1(0(0(2(0(0(3(1(3(2(2(1(3(z0))))))))))))))))))
   1(c_2(c_1(c_2(c_1(c_2(c_0(c_1(c_0(c_1(c_3(c_1(c_0(c_0(c_0(c_1(c_3(c_3(z0)))))))))))))))))) -> 1(1(2(2(1(0(1(3(0(1(1(3(0(2(1(3(0(0(z0))))))))))))))))))
   1(c_2(c_0(c_1(c_2(c_1(c_0(c_2(c_0(c_0(c_3(c_1(c_0(c_2(c_0(c_3(c_2(c_2(z0)))))))))))))))))) -> 1(1(0(0(0(2(1(0(2(0(3(2(2(1(0(2(3(2(z0))))))))))))))))))
   1(c_3(c_1(c_1(c_0(c_1(c_2(c_1(c_1(c_1(c_0(c_3(c_1(c_1(c_0(c_2(c_3(c_1(z0)))))))))))))))))) -> 1(1(3(2(1(3(1(1(0(0(1(3(2(1(0(1(1(1(z0))))))))))))))))))
   1(c_3(c_1(c_3(c_2(c_0(c_1(c_3(c_1(c_1(c_3(c_2(c_3(c_3(c_3(c_3(c_0(c_1(z0)))))))))))))))))) -> 1(3(3(3(1(2(3(1(3(0(2(1(1(3(0(3(3(1(z0))))))))))))))))))
   1(c_0(c_0(c_0(c_1(c_2(c_3(c_3(c_2(c_2(c_1(c_0(c_2(c_3(c_3(c_2(c_0(c_3(z0)))))))))))))))))) -> 3(0(2(1(1(3(3(1(0(0(2(0(2(2(3(2(0(3(z0))))))))))))))))))
   1(c_1(c_0(c_0(c_1(c_2(c_1(c_2(c_2(c_0(c_3(c_1(c_2(c_3(c_2(c_0(c_0(c_3(z0)))))))))))))))))) -> 1(2(2(0(2(1(0(2(1(0(0(2(3(0(1(1(3(3(z0))))))))))))))))))
   1(c_2(c_0(c_2(c_0(c_0(c_0(c_3(c_0(c_1(c_0(c_1(c_1(c_0(c_3(c_1(c_0(c_3(z0)))))))))))))))))) -> 1(3(0(3(1(1(0(1(1(0(0(0(2(2(3(0(0(0(z0))))))))))))))))))
   1(c_1(c_0(c_3(c_1(c_0(c_3(c_3(c_3(c_1(c_1(c_2(c_2(c_2(c_2(c_0(c_1(c_2(z0)))))))))))))))))) -> 2(1(1(0(0(1(1(2(3(3(3(0(1(2(3(2(1(2(z0))))))))))))))))))
   1(c_3(c_3(c_0(c_0(c_3(c_3(c_1(c_0(c_0(c_2(c_3(c_3(c_1(c_3(c_2(c_3(c_1(z0)))))))))))))))))) -> 1(3(0(0(1(3(0(1(3(3(2(2(3(3(3(3(0(1(z0))))))))))))))))))
   1(c_2(c_3(c_3(c_2(c_1(c_0(c_3(c_2(c_2(c_1(c_0(c_3(c_1(c_0(c_0(c_0(c_0(z0)))))))))))))))))) -> 0(3(0(1(2(1(3(0(1(0(2(1(2(3(3(0(2(0(z0))))))))))))))))))
   1(c_0(c_3(c_0(c_3(c_1(c_0(c_3(c_3(c_1(c_2(c_1(c_3(c_2(c_0(c_2(c_1(c_0(z0)))))))))))))))))) -> 2(2(1(3(0(0(1(3(1(0(2(0(0(3(3(3(1(1(z0))))))))))))))))))
   1(c_2(c_3(c_0(c_3(c_2(c_0(c_2(c_0(c_2(c_0(c_3(c_2(c_0(c_2(c_2(c_0(c_0(z0)))))))))))))))))) -> 1(2(2(2(0(3(3(0(0(2(0(0(0(2(2(2(3(0(z0))))))))))))))))))
   1(c_1(c_3(c_2(c_0(c_2(c_3(c_1(c_0(c_1(c_0(c_2(c_3(c_3(c_2(c_2(c_0(c_0(z0)))))))))))))))))) -> 2(0(2(3(2(0(2(0(1(2(1(3(0(1(3(0(1(3(z0))))))))))))))))))
   1(c_0(c_3(c_3(c_1(c_0(c_3(c_3(c_3(c_1(c_1(c_3(c_2(c_0(c_0(c_1(c_3(c_1(z0)))))))))))))))))) -> 1(3(3(0(1(3(3(0(1(3(3(0(1(3(2(1(0(1(z0))))))))))))))))))
   1(c_2(c_1(c_3(c_2(c_3(c_3(c_1(c_1(c_1(c_0(c_1(c_0(c_0(c_3(c_2(c_0(c_3(z0)))))))))))))))))) -> 1(3(3(2(3(0(2(1(3(1(1(3(1(2(1(0(0(0(z0))))))))))))))))))
   1(c_2(c_1(c_0(c_3(c_1(c_3(c_3(c_2(c_2(c_2(c_2(c_0(c_0(c_3(c_1(c_0(c_1(z0)))))))))))))))))) -> 3(1(2(0(1(3(2(3(2(2(0(0(0(2(3(1(1(1(z0))))))))))))))))))
   1(c_2(c_3(c_3(c_1(c_2(c_2(c_2(c_1(c_0(c_1(c_2(c_0(c_1(c_3(c_2(c_0(c_1(z0)))))))))))))))))) -> 3(3(0(0(2(0(2(2(1(1(1(3(1(2(2(1(2(1(z0))))))))))))))))))
   1(c_0(c_1(c_3(c_2(c_2(c_3(c_2(c_0(c_0(c_1(c_0(c_3(c_2(c_3(c_2(c_3(c_3(z0)))))))))))))))))) -> 1(3(3(1(2(2(0(3(0(0(1(3(0(2(2(3(2(3(z0))))))))))))))))))
   1(c_1(c_1(c_3(c_1(c_3(c_1(c_0(c_3(c_2(c_1(c_3(c_2(c_1(c_0(c_3(c_0(c_3(z0)))))))))))))))))) -> 1(2(2(3(0(1(3(1(1(3(0(0(1(3(1(1(3(3(z0))))))))))))))))))
   1(c_3(c_3(c_0(c_1(c_1(c_3(c_2(c_2(c_1(c_1(c_0(c_3(c_1(c_2(c_1(c_0(c_0(z0)))))))))))))))))) -> 1(3(1(1(0(0(1(1(2(1(3(0(2(3(1(0(2(3(z0))))))))))))))))))
   1(c_1(c_1(c_1(c_0(c_1(c_3(c_2(c_1(c_1(c_2(c_2(c_0(c_2(c_2(c_3(c_0(c_2(z0)))))))))))))))))) -> 1(1(1(2(3(0(2(2(1(1(1(2(3(0(1(2(0(2(z0))))))))))))))))))
   1(c_1(c_3(c_3(c_2(c_1(c_3(c_3(c_2(c_0(c_1(c_3(c_3(c_3(c_0(c_3(c_2(c_1(z0)))))))))))))))))) -> 1(3(1(3(0(3(3(3(1(3(3(2(3(1(2(0(2(1(z0))))))))))))))))))
   1(c_0(c_2(c_3(c_1(c_2(c_3(c_1(c_2(c_3(c_2(c_3(c_2(c_1(c_2(c_2(c_2(c_2(z0)))))))))))))))))) -> 2(3(2(2(3(0(2(1(3(2(2(1(1(1(3(2(2(2(z0))))))))))))))))))
   1(c_3(c_3(c_2(c_2(c_1(c_0(c_3(c_2(c_1(c_1(c_1(c_2(c_3(c_1(c_0(c_1(c_0(z0)))))))))))))))))) -> 2(0(1(2(1(2(1(3(1(1(3(0(3(2(1(3(0(1(z0))))))))))))))))))
   1(c_2(c_3(c_1(c_1(c_0(c_0(c_3(c_3(c_0(c_2(c_1(c_3(c_3(c_0(c_3(c_2(c_3(z0)))))))))))))))))) -> 3(1(3(0(2(3(3(1(3(0(2(1(2(0(0(1(3(3(z0))))))))))))))))))
   2(z0) -> c_2(z0)
   2(c_2(c_2(c_2(c_1(c_1(c_0(c_1(c_1(c_2(c_2(c_0(c_0(c_1(c_2(c_2(c_1(c_1(z0)))))))))))))))))) -> 0(2(1(2(0(2(0(2(2(1(2(2(2(1(1(1(1(1(z0))))))))))))))))))
   2(c_0(c_1(c_3(c_3(c_3(c_3(c_3(c_1(c_1(c_3(c_2(c_0(c_1(c_0(c_0(c_1(c_0(z0)))))))))))))))))) -> 1(3(0(2(1(1(3(0(2(3(0(0(3(1(3(3(1(0(z0))))))))))))))))))
   2(c_3(c_2(c_1(c_0(c_0(c_0(c_2(c_3(c_2(c_3(c_0(c_3(c_0(c_2(c_1(c_1(c_2(z0)))))))))))))))))) -> 2(2(3(0(3(0(2(1(0(2(2(0(1(3(1(3(0(2(z0))))))))))))))))))
   2(c_1(c_2(c_2(c_3(c_2(c_3(c_0(c_1(c_3(c_2(c_1(c_1(c_3(c_3(c_2(c_2(c_2(z0)))))))))))))))))) -> 2(1(1(1(3(2(3(2(2(3(0(2(3(2(1(3(2(2(z0))))))))))))))))))
   2(c_1(c_2(c_2(c_2(c_0(c_2(c_1(c_2(c_3(c_0(c_0(c_3(c_1(c_2(c_2(c_1(c_3(z0)))))))))))))))))) -> 0(2(0(2(1(3(2(2(1(3(2(2(1(3(0(2(1(2(z0))))))))))))))))))
   2(c_0(c_3(c_0(c_3(c_2(c_3(c_2(c_1(c_0(c_1(c_2(c_2(c_0(c_0(c_0(c_1(c_2(z0)))))))))))))))))) -> 0(2(2(1(2(0(1(2(0(3(0(0(2(1(3(0(3(2(z0))))))))))))))))))
   2(c_3(c_0(c_2(c_0(c_3(c_2(c_0(c_2(c_3(c_2(c_1(c_2(c_2(c_2(c_3(c_0(c_3(z0)))))))))))))))))) -> 2(3(2(3(3(0(0(2(2(2(1(3(2(0(2(3(2(0(z0))))))))))))))))))
   2(c_3(c_1(c_0(c_1(c_0(c_1(c_2(c_1(c_0(c_3(c_1(c_0(c_3(c_1(c_2(c_2(c_3(z0)))))))))))))))))) -> 2(1(2(1(1(0(1(0(2(3(0(0(3(3(3(1(1(2(z0))))))))))))))))))
   2(c_1(c_0(c_1(c_1(c_3(c_3(c_0(c_1(c_0(c_1(c_2(c_3(c_3(c_0(c_3(c_2(c_2(z0)))))))))))))))))) -> 0(3(3(1(3(3(0(2(1(1(3(1(0(2(1(2(0(2(z0))))))))))))))))))
   2(c_3(c_1(c_1(c_0(c_3(c_1(c_2(c_1(c_0(c_1(c_3(c_2(c_0(c_1(c_2(c_1(c_1(z0)))))))))))))))))) -> 2(3(2(0(1(1(1(3(2(1(1(3(0(0(1(1(2(1(z0))))))))))))))))))
   2(c_1(c_2(c_2(c_2(c_1(c_3(c_2(c_0(c_0(c_2(c_3(c_2(c_3(c_3(c_3(c_0(c_3(z0)))))))))))))))))) -> 2(3(3(1(3(2(0(3(2(1(3(0(2(2(2(2(3(0(z0))))))))))))))))))
   2(c_2(c_1(c_2(c_3(c_2(c_0(c_2(c_0(c_3(c_1(c_0(c_1(c_1(c_0(c_1(c_3(c_3(z0)))))))))))))))))) -> 2(2(0(1(2(0(1(2(3(1(0(2(0(1(3(1(3(3(z0))))))))))))))))))
   2(c_1(c_1(c_1(c_0(c_2(c_2(c_2(c_1(c_0(c_2(c_0(c_0(c_2(c_2(c_2(c_2(c_1(z0)))))))))))))))))) -> 2(2(2(2(1(1(2(0(1(0(0(0(2(1(2(2(2(1(z0))))))))))))))))))
   2(c_3(c_2(c_2(c_2(c_3(c_0(c_3(c_1(c_0(c_3(c_2(c_1(c_1(c_2(c_0(c_2(c_3(z0)))))))))))))))))) -> 2(2(1(1(0(1(2(3(3(0(3(3(2(2(2(0(2(3(z0))))))))))))))))))
   2(c_2(c_3(c_1(c_2(c_3(c_0(c_3(c_1(c_1(c_1(c_0(c_1(c_1(c_0(c_1(c_3(c_1(z0)))))))))))))))))) -> 2(3(1(1(2(0(1(3(1(1(0(1(1(3(1(3(0(2(z0))))))))))))))))))
   2(c_2(c_0(c_3(c_1(c_2(c_0(c_3(c_1(c_2(c_1(c_3(c_0(c_1(c_0(c_3(c_0(c_0(z0)))))))))))))))))) -> 2(3(2(2(1(3(0(3(0(1(3(0(0(0(1(1(2(0(z0))))))))))))))))))
   2(c_2(c_3(c_3(c_1(c_3(c_1(c_1(c_0(c_1(c_2(c_2(c_0(c_3(c_2(c_0(c_3(c_3(z0)))))))))))))))))) -> 2(2(3(1(3(2(1(3(3(1(0(0(2(3(3(1(0(2(z0))))))))))))))))))
   2(c_1(c_3(c_3(c_3(c_1(c_2(c_1(c_2(c_1(c_0(c_0(c_3(c_1(c_3(c_2(c_0(c_0(z0)))))))))))))))))) -> 2(1(3(0(1(3(1(0(2(2(0(0(1(3(1(3(2(3(z0))))))))))))))))))
   2(c_2(c_1(c_0(c_1(c_2(c_0(c_0(c_3(c_0(c_2(c_1(c_1(c_2(c_1(c_2(c_1(c_2(z0)))))))))))))))))) -> 2(2(1(0(3(2(1(1(1(0(0(2(0(1(2(2(1(2(z0))))))))))))))))))
   2(c_3(c_3(c_2(c_3(c_1(c_0(c_1(c_1(c_1(c_3(c_1(c_0(c_1(c_0(c_3(c_2(c_0(z0)))))))))))))))))) -> 2(1(0(0(1(2(3(1(1(3(3(3(1(1(3(2(0(0(z0))))))))))))))))))
   2(c_0(c_1(c_0(c_2(c_2(c_2(c_2(c_0(c_3(c_2(c_3(c_1(c_2(c_3(c_0(c_3(c_2(z0)))))))))))))))))) -> 2(0(2(0(2(2(3(0(3(3(1(3(0(1(2(2(2(2(z0))))))))))))))))))
   2(c_1(c_2(c_3(c_3(c_3(c_0(c_2(c_0(c_0(c_2(c_2(c_1(c_0(c_2(c_0(c_2(c_0(z0)))))))))))))))))) -> 0(3(0(2(2(2(1(3(0(0(1(3(0(0(2(2(2(2(z0))))))))))))))))))
   2(c_2(c_0(c_0(c_2(c_1(c_1(c_2(c_1(c_2(c_0(c_1(c_2(c_2(c_2(c_2(c_2(c_2(z0)))))))))))))))))) -> 2(2(2(2(1(1(0(2(1(1(2(2(0(2(0(2(2(2(z0))))))))))))))))))
   2(c_2(c_1(c_1(c_3(c_1(c_0(c_0(c_1(c_2(c_3(c_2(c_3(c_1(c_0(c_1(c_1(c_0(z0)))))))))))))))))) -> 0(1(2(2(3(1(0(2(1(3(2(1(1(3(0(1(1(0(z0))))))))))))))))))
   2(c_3(c_1(c_0(c_2(c_3(c_1(c_0(c_0(c_1(c_0(c_1(c_0(c_1(c_2(c_2(c_1(c_0(z0)))))))))))))))))) -> 2(0(3(1(0(1(0(1(2(0(2(2(1(3(0(0(1(1(z0))))))))))))))))))
   2(c_0(c_0(c_3(c_1(c_2(c_3(c_2(c_0(c_2(c_3(c_0(c_1(c_2(c_2(c_0(c_0(c_2(z0)))))))))))))))))) -> 2(0(2(3(1(3(0(0(3(2(0(1(0(2(0(2(2(2(z0))))))))))))))))))
   2(c_2(c_1(c_1(c_2(c_3(c_1(c_2(c_1(c_3(c_1(c_0(c_2(c_2(c_0(c_3(c_1(c_1(z0)))))))))))))))))) -> 2(2(1(2(3(1(1(3(1(2(2(1(0(0(2(1(3(1(z0))))))))))))))))))
   3(z0) -> c_3(z0)
   3(c_1(c_0(c_0(c_3(c_0(c_3(c_2(c_3(c_2(c_3(c_0(c_1(c_0(c_1(c_1(c_2(c_3(z0)))))))))))))))))) -> 3(0(1(3(2(3(3(1(1(0(2(0(0(3(1(3(0(2(z0))))))))))))))))))
   3(c_0(c_3(c_1(c_0(c_1(c_0(c_3(c_3(c_1(c_0(c_3(c_2(c_3(c_3(c_2(c_0(c_3(z0)))))))))))))))))) -> 1(3(0(2(0(0(3(3(2(1(3(0(3(3(1(3(3(0(z0))))))))))))))))))
   3(c_0(c_1(c_0(c_1(c_2(c_3(c_3(c_1(c_2(c_3(c_2(c_1(c_1(c_1(c_3(c_3(c_0(z0)))))))))))))))))) -> 3(0(1(2(1(3(3(1(3(0(1(3(1(2(0(1(3(2(z0))))))))))))))))))
   3(c_1(c_2(c_3(c_2(c_0(c_2(c_3(c_1(c_1(c_1(c_3(c_3(c_2(c_0(c_0(c_0(c_3(z0)))))))))))))))))) -> 3(1(3(2(1(3(0(2(1(0(0(2(3(1(2(3(3(0(z0))))))))))))))))))
   3(c_2(c_3(c_2(c_2(c_0(c_3(c_3(c_2(c_0(c_1(c_0(c_0(c_2(c_0(c_1(c_1(c_1(z0)))))))))))))))))) -> 3(0(1(3(2(0(3(0(1(2(3(0(2(0(2(2(1(1(z0))))))))))))))))))
   3(c_3(c_1(c_2(c_2(c_2(c_3(c_3(c_3(c_1(c_3(c_0(c_1(c_1(c_1(c_2(c_1(c_0(z0)))))))))))))))))) -> 3(3(3(1(2(3(1(3(0(2(2(1(3(0(2(1(1(1(z0))))))))))))))))))
   3(c_1(c_1(c_0(c_3(c_0(c_1(c_1(c_3(c_2(c_1(c_2(c_3(c_3(c_1(c_3(c_3(c_1(z0)))))))))))))))))) -> 3(1(3(2(1(1(1(3(3(0(3(2(1(3(0(1(3(1(z0))))))))))))))))))
   3(c_3(c_0(c_1(c_0(c_3(c_2(c_0(c_1(c_1(c_1(c_1(c_3(c_1(c_2(c_3(c_3(c_3(z0)))))))))))))))))) -> 3(2(3(1(1(1(0(3(3(0(2(1(3(0(1(3(1(3(z0))))))))))))))))))
   3(c_3(c_1(c_0(c_3(c_2(c_3(c_0(c_3(c_1(c_0(c_2(c_0(c_3(c_0(c_2(c_2(c_0(z0)))))))))))))))))) -> 3(3(3(2(0(3(0(3(0(1(0(0(1(3(0(2(2(2(z0))))))))))))))))))
   3(c_1(c_2(c_0(c_3(c_2(c_2(c_3(c_2(c_0(c_3(c_3(c_2(c_3(c_3(c_1(c_1(c_3(z0)))))))))))))))))) -> 3(2(2(3(1(3(3(2(1(3(3(0(2(0(2(3(1(3(z0))))))))))))))))))
   3(c_2(c_0(c_1(c_2(c_1(c_0(c_3(c_3(c_3(c_3(c_1(c_2(c_1(c_1(c_0(c_1(c_0(z0)))))))))))))))))) -> 3(0(0(2(1(3(2(3(3(1(1(3(1(1(0(2(0(1(z0))))))))))))))))))
Tuples:
   0'(c_1(c_0(c_3(c_2(c_0(c_0(c_0(c_3(c_3(c_0(c_2(c_2(c_2(c_2(c_1(c_1(c_1(z0)))))))))))))))))) -> c11(0'(0(1(1(3(0(3(0(0(2(2(2(0(2(2(1(3(1(z0)))))))))))))))))), 0'(1(1(3(0(3(0(0(2(2(2(0(2(2(1(3(1(z0))))))))))))))))), 1'(1(3(0(3(0(0(2(2(2(0(2(2(1(3(1(z0)))))))))))))))), 1'(3(0(3(0(0(2(2(2(0(2(2(1(3(1(z0))))))))))))))), 3'(0(3(0(0(2(2(2(0(2(2(1(3(1(z0)))))))))))))), 0'(3(0(0(2(2(2(0(2(2(1(3(1(z0))))))))))))), 3'(0(0(2(2(2(0(2(2(1(3(1(z0)))))))))))), 0'(0(2(2(2(0(2(2(1(3(1(z0))))))))))), 0'(2(2(2(0(2(2(1(3(1(z0)))))))))), 2'(2(2(0(2(2(1(3(1(z0))))))))), 2'(2(0(2(2(1(3(1(z0)))))))), 2'(0(2(2(1(3(1(z0))))))), 0'(2(2(1(3(1(z0)))))), 2'(2(1(3(1(z0))))), 2'(1(3(1(z0)))), 1'(3(1(z0))), 3'(1(z0)), 1'(z0))
   0'(c_0(c_3(c_1(c_0(c_2(c_2(c_0(c_2(c_3(c_1(c_1(c_0(c_1(c_2(c_2(c_0(c_1(z0)))))))))))))))))) -> c12(0'(2(1(1(3(0(0(0(1(0(2(3(1(2(2(0(2(1(z0)))))))))))))))))), 2'(1(1(3(0(0(0(1(0(2(3(1(2(2(0(2(1(z0))))))))))))))))), 1'(1(3(0(0(0(1(0(2(3(1(2(2(0(2(1(z0)))))))))))))))), 1'(3(0(0(0(1(0(2(3(1(2(2(0(2(1(z0))))))))))))))), 3'(0(0(0(1(0(2(3(1(2(2(0(2(1(z0)))))))))))))), 0'(0(0(1(0(2(3(1(2(2(0(2(1(z0))))))))))))), 0'(0(1(0(2(3(1(2(2(0(2(1(z0)))))))))))), 0'(1(0(2(3(1(2(2(0(2(1(z0))))))))))), 1'(0(2(3(1(2(2(0(2(1(z0)))))))))), 0'(2(3(1(2(2(0(2(1(z0))))))))), 2'(3(1(2(2(0(2(1(z0)))))))), 3'(1(2(2(0(2(1(z0))))))), 1'(2(2(0(2(1(z0)))))), 2'(2(0(2(1(z0))))), 2'(0(2(1(z0)))), 0'(2(1(z0))), 2'(1(z0)), 1'(z0))
   0'(c_3(c_2(c_0(c_3(c_1(c_0(c_1(c_0(c_3(c_0(c_3(c_0(c_0(c_3(c_0(c_0(c_0(z0)))))))))))))))))) -> c13(0'(3(0(0(0(0(1(2(0(3(3(0(0(3(0(1(3(0(z0)))))))))))))))))), 3'(0(0(0(0(1(2(0(3(3(0(0(3(0(1(3(0(z0))))))))))))))))), 0'(0(0(0(1(2(0(3(3(0(0(3(0(1(3(0(z0)))))))))))))))), 0'(0(0(1(2(0(3(3(0(0(3(0(1(3(0(z0))))))))))))))), 0'(0(1(2(0(3(3(0(0(3(0(1(3(0(z0)))))))))))))), 0'(1(2(0(3(3(0(0(3(0(1(3(0(z0))))))))))))), 1'(2(0(3(3(0(0(3(0(1(3(0(z0)))))))))))), 2'(0(3(3(0(0(3(0(1(3(0(z0))))))))))), 0'(3(3(0(0(3(0(1(3(0(z0)))))))))), 3'(3(0(0(3(0(1(3(0(z0))))))))), 3'(0(0(3(0(1(3(0(z0)))))))), 0'(0(3(0(1(3(0(z0))))))), 0'(3(0(1(3(0(z0)))))), 3'(0(1(3(0(z0))))), 0'(1(3(0(z0)))), 1'(3(0(z0))), 3'(0(z0)), 0'(z0))
   0'(c_1(c_2(c_3(c_2(c_1(c_0(c_1(c_2(c_2(c_0(c_0(c_1(c_0(c_3(c_1(c_0(c_1(z0)))))))))))))))))) -> c14(0'(2(1(1(1(0(2(2(0(0(1(1(0(3(0(1(3(2(z0)))))))))))))))))), 2'(1(1(1(0(2(2(0(0(1(1(0(3(0(1(3(2(z0))))))))))))))))), 1'(1(1(0(2(2(0(0(1(1(0(3(0(1(3(2(z0)))))))))))))))), 1'(1(0(2(2(0(0(1(1(0(3(0(1(3(2(z0))))))))))))))), 1'(0(2(2(0(0(1(1(0(3(0(1(3(2(z0)))))))))))))), 0'(2(2(0(0(1(1(0(3(0(1(3(2(z0))))))))))))), 2'(2(0(0(1(1(0(3(0(1(3(2(z0)))))))))))), 2'(0(0(1(1(0(3(0(1(3(2(z0))))))))))), 0'(0(1(1(0(3(0(1(3(2(z0)))))))))), 0'(1(1(0(3(0(1(3(2(z0))))))))), 1'(1(0(3(0(1(3(2(z0)))))))), 1'(0(3(0(1(3(2(z0))))))), 0'(3(0(1(3(2(z0)))))), 3'(0(1(3(2(z0))))), 0'(1(3(2(z0)))), 1'(3(2(z0))), 3'(2(z0)), 2'(z0))
   0'(c_2(c_1(c_0(c_3(c_0(c_3(c_0(c_3(c_2(c_0(c_1(c_0(c_1(c_2(c_2(c_1(c_1(z0)))))))))))))))))) -> c15(0'(2(3(0(3(2(2(1(2(1(1(0(0(3(0(0(1(1(z0)))))))))))))))))), 2'(3(0(3(2(2(1(2(1(1(0(0(3(0(0(1(1(z0))))))))))))))))), 3'(0(3(2(2(1(2(1(1(0(0(3(0(0(1(1(z0)))))))))))))))), 0'(3(2(2(1(2(1(1(0(0(3(0(0(1(1(z0))))))))))))))), 3'(2(2(1(2(1(1(0(0(3(0(0(1(1(z0)))))))))))))), 2'(2(1(2(1(1(0(0(3(0(0(1(1(z0))))))))))))), 2'(1(2(1(1(0(0(3(0(0(1(1(z0)))))))))))), 1'(2(1(1(0(0(3(0(0(1(1(z0))))))))))), 2'(1(1(0(0(3(0(0(1(1(z0)))))))))), 1'(1(0(0(3(0(0(1(1(z0))))))))), 1'(0(0(3(0(0(1(1(z0)))))))), 0'(0(3(0(0(1(1(z0))))))), 0'(3(0(0(1(1(z0)))))), 3'(0(0(1(1(z0))))), 0'(0(1(1(z0)))), 0'(1(1(z0))), 1'(1(z0)), 1'(z0))
   0'(c_0(c_2(c_2(c_1(c_3(c_2(c_2(c_2(c_1(c_0(c_2(c_2(c_0(c_2(c_2(c_0(c_0(z0)))))))))))))))))) -> c16(0'(2(2(2(2(1(3(0(0(2(1(0(2(2(2(2(0(0(z0)))))))))))))))))), 2'(2(2(2(1(3(0(0(2(1(0(2(2(2(2(0(0(z0))))))))))))))))), 2'(2(2(1(3(0(0(2(1(0(2(2(2(2(0(0(z0)))))))))))))))), 2'(2(1(3(0(0(2(1(0(2(2(2(2(0(0(z0))))))))))))))), 2'(1(3(0(0(2(1(0(2(2(2(2(0(0(z0)))))))))))))), 1'(3(0(0(2(1(0(2(2(2(2(0(0(z0))))))))))))), 3'(0(0(2(1(0(2(2(2(2(0(0(z0)))))))))))), 0'(0(2(1(0(2(2(2(2(0(0(z0))))))))))), 0'(2(1(0(2(2(2(2(0(0(z0)))))))))), 2'(1(0(2(2(2(2(0(0(z0))))))))), 1'(0(2(2(2(2(0(0(z0)))))))), 0'(2(2(2(2(0(0(z0))))))), 2'(2(2(2(0(0(z0)))))), 2'(2(2(0(0(z0))))), 2'(2(0(0(z0)))), 2'(0(0(z0))), 0'(0(z0)), 0'(z0))
   0'(c_3(c_1(c_1(c_2(c_3(c_0(c_3(c_0(c_1(c_0(c_1(c_2(c_2(c_1(c_0(c_2(c_2(z0)))))))))))))))))) -> c17(0'(0(1(3(0(0(2(2(2(3(2(1(1(1(1(0(3(2(z0)))))))))))))))))), 0'(1(3(0(0(2(2(2(3(2(1(1(1(1(0(3(2(z0))))))))))))))))), 1'(3(0(0(2(2(2(3(2(1(1(1(1(0(3(2(z0)))))))))))))))), 3'(0(0(2(2(2(3(2(1(1(1(1(0(3(2(z0))))))))))))))), 0'(0(2(2(2(3(2(1(1(1(1(0(3(2(z0)))))))))))))), 0'(2(2(2(3(2(1(1(1(1(0(3(2(z0))))))))))))), 2'(2(2(3(2(1(1(1(1(0(3(2(z0)))))))))))), 2'(2(3(2(1(1(1(1(0(3(2(z0))))))))))), 2'(3(2(1(1(1(1(0(3(2(z0)))))))))), 3'(2(1(1(1(1(0(3(2(z0))))))))), 2'(1(1(1(1(0(3(2(z0)))))))), 1'(1(1(1(0(3(2(z0))))))), 1'(1(1(0(3(2(z0)))))), 1'(1(0(3(2(z0))))), 1'(0(3(2(z0)))), 0'(3(2(z0))), 3'(2(z0)), 2'(z0))
   0'(c_1(c_1(c_1(c_1(c_3(c_1(c_1(c_0(c_1(c_3(c_1(c_0(c_2(c_3(c_3(c_3(c_2(z0)))))))))))))))))) -> c18(0'(2(0(1(3(1(1(3(1(0(1(3(2(1(3(1(1(3(z0)))))))))))))))))), 2'(0(1(3(1(1(3(1(0(1(3(2(1(3(1(1(3(z0))))))))))))))))), 0'(1(3(1(1(3(1(0(1(3(2(1(3(1(1(3(z0)))))))))))))))), 1'(3(1(1(3(1(0(1(3(2(1(3(1(1(3(z0))))))))))))))), 3'(1(1(3(1(0(1(3(2(1(3(1(1(3(z0)))))))))))))), 1'(1(3(1(0(1(3(2(1(3(1(1(3(z0))))))))))))), 1'(3(1(0(1(3(2(1(3(1(1(3(z0)))))))))))), 3'(1(0(1(3(2(1(3(1(1(3(z0))))))))))), 1'(0(1(3(2(1(3(1(1(3(z0)))))))))), 0'(1(3(2(1(3(1(1(3(z0))))))))), 1'(3(2(1(3(1(1(3(z0)))))))), 3'(2(1(3(1(1(3(z0))))))), 2'(1(3(1(1(3(z0)))))), 1'(3(1(1(3(z0))))), 3'(1(1(3(z0)))), 1'(1(3(z0))), 1'(3(z0)), 3'(z0))
   0'(c_3(c_0(c_1(c_0(c_3(c_0(c_1(c_1(c_1(c_2(c_0(c_0(c_0(c_3(c_2(c_1(c_0(z0)))))))))))))))))) -> c19(0'(0(2(2(1(3(0(0(1(3(0(1(0(1(0(0(1(3(z0)))))))))))))))))), 0'(2(2(1(3(0(0(1(3(0(1(0(1(0(0(1(3(z0))))))))))))))))), 2'(2(1(3(0(0(1(3(0(1(0(1(0(0(1(3(z0)))))))))))))))), 2'(1(3(0(0(1(3(0(1(0(1(0(0(1(3(z0))))))))))))))), 1'(3(0(0(1(3(0(1(0(1(0(0(1(3(z0)))))))))))))), 3'(0(0(1(3(0(1(0(1(0(0(1(3(z0))))))))))))), 0'(0(1(3(0(1(0(1(0(0(1(3(z0)))))))))))), 0'(1(3(0(1(0(1(0(0(1(3(z0))))))))))), 1'(3(0(1(0(1(0(0(1(3(z0)))))))))), 3'(0(1(0(1(0(0(1(3(z0))))))))), 0'(1(0(1(0(0(1(3(z0)))))))), 1'(0(1(0(0(1(3(z0))))))), 0'(1(0(0(1(3(z0)))))), 1'(0(0(1(3(z0))))), 0'(0(1(3(z0)))), 0'(1(3(z0))), 1'(3(z0)), 3'(z0))
   1'(c_0(c_1(c_0(c_2(c_0(c_2(c_3(c_1(c_1(c_2(c_2(c_0(c_0(c_3(c_0(c_3(c_2(z0)))))))))))))))))) -> c21(0'(0(0(1(1(3(1(3(2(0(0(2(2(1(3(0(2(2(z0)))))))))))))))))), 0'(0(1(1(3(1(3(2(0(0(2(2(1(3(0(2(2(z0))))))))))))))))), 0'(1(1(3(1(3(2(0(0(2(2(1(3(0(2(2(z0)))))))))))))))), 1'(1(3(1(3(2(0(0(2(2(1(3(0(2(2(z0))))))))))))))), 1'(3(1(3(2(0(0(2(2(1(3(0(2(2(z0)))))))))))))), 3'(1(3(2(0(0(2(2(1(3(0(2(2(z0))))))))))))), 1'(3(2(0(0(2(2(1(3(0(2(2(z0)))))))))))), 3'(2(0(0(2(2(1(3(0(2(2(z0))))))))))), 2'(0(0(2(2(1(3(0(2(2(z0)))))))))), 0'(0(2(2(1(3(0(2(2(z0))))))))), 0'(2(2(1(3(0(2(2(z0)))))))), 2'(2(1(3(0(2(2(z0))))))), 2'(1(3(0(2(2(z0)))))), 1'(3(0(2(2(z0))))), 3'(0(2(2(z0)))), 0'(2(2(z0))), 2'(2(z0)), 2'(z0))
   1'(c_2(c_0(c_0(c_2(c_1(c_3(c_2(c_2(c_3(c_2(c_2(c_0(c_3(c_2(c_3(c_2(c_2(z0)))))))))))))))))) -> c22(1'(2(0(3(2(2(2(2(3(0(0(2(2(2(3(1(3(2(z0)))))))))))))))))), 2'(0(3(2(2(2(2(3(0(0(2(2(2(3(1(3(2(z0))))))))))))))))), 0'(3(2(2(2(2(3(0(0(2(2(2(3(1(3(2(z0)))))))))))))))), 3'(2(2(2(2(3(0(0(2(2(2(3(1(3(2(z0))))))))))))))), 2'(2(2(2(3(0(0(2(2(2(3(1(3(2(z0)))))))))))))), 2'(2(2(3(0(0(2(2(2(3(1(3(2(z0))))))))))))), 2'(2(3(0(0(2(2(2(3(1(3(2(z0)))))))))))), 2'(3(0(0(2(2(2(3(1(3(2(z0))))))))))), 3'(0(0(2(2(2(3(1(3(2(z0)))))))))), 0'(0(2(2(2(3(1(3(2(z0))))))))), 0'(2(2(2(3(1(3(2(z0)))))))), 2'(2(2(3(1(3(2(z0))))))), 2'(2(3(1(3(2(z0)))))), 2'(3(1(3(2(z0))))), 3'(1(3(2(z0)))), 1'(3(2(z0))), 3'(2(z0)), 2'(z0))
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   1'(c_3(c_1(c_3(c_2(c_0(c_1(c_3(c_1(c_1(c_3(c_2(c_3(c_3(c_3(c_3(c_0(c_1(z0)))))))))))))))))) -> c30(1'(3(3(3(1(2(3(1(3(0(2(1(1(3(0(3(3(1(z0)))))))))))))))))), 3'(3(3(1(2(3(1(3(0(2(1(1(3(0(3(3(1(z0))))))))))))))))), 3'(3(1(2(3(1(3(0(2(1(1(3(0(3(3(1(z0)))))))))))))))), 3'(1(2(3(1(3(0(2(1(1(3(0(3(3(1(z0))))))))))))))), 1'(2(3(1(3(0(2(1(1(3(0(3(3(1(z0)))))))))))))), 2'(3(1(3(0(2(1(1(3(0(3(3(1(z0))))))))))))), 3'(1(3(0(2(1(1(3(0(3(3(1(z0)))))))))))), 1'(3(0(2(1(1(3(0(3(3(1(z0))))))))))), 3'(0(2(1(1(3(0(3(3(1(z0)))))))))), 0'(2(1(1(3(0(3(3(1(z0))))))))), 2'(1(1(3(0(3(3(1(z0)))))))), 1'(1(3(0(3(3(1(z0))))))), 1'(3(0(3(3(1(z0)))))), 3'(0(3(3(1(z0))))), 0'(3(3(1(z0)))), 3'(3(1(z0))), 3'(1(z0)), 1'(z0))
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   3'(c_2(c_0(c_1(c_2(c_1(c_0(c_3(c_3(c_3(c_3(c_1(c_2(c_1(c_1(c_0(c_1(c_0(z0)))))))))))))))))) -> c91(3'(0(0(2(1(3(2(3(3(1(1(3(1(1(0(2(0(1(z0)))))))))))))))))), 0'(0(2(1(3(2(3(3(1(1(3(1(1(0(2(0(1(z0))))))))))))))))), 0'(2(1(3(2(3(3(1(1(3(1(1(0(2(0(1(z0)))))))))))))))), 2'(1(3(2(3(3(1(1(3(1(1(0(2(0(1(z0))))))))))))))), 1'(3(2(3(3(1(1(3(1(1(0(2(0(1(z0)))))))))))))), 3'(2(3(3(1(1(3(1(1(0(2(0(1(z0))))))))))))), 2'(3(3(1(1(3(1(1(0(2(0(1(z0)))))))))))), 3'(3(1(1(3(1(1(0(2(0(1(z0))))))))))), 3'(1(1(3(1(1(0(2(0(1(z0)))))))))), 1'(1(3(1(1(0(2(0(1(z0))))))))), 1'(3(1(1(0(2(0(1(z0)))))))), 3'(1(1(0(2(0(1(z0))))))), 1'(1(0(2(0(1(z0)))))), 1'(0(2(0(1(z0))))), 0'(2(0(1(z0)))), 2'(0(1(z0))), 0'(1(z0)), 1'(z0))
   ENCODE_0(z0) -> c8(0'(encArg(z0)))
   ENCODE_2(z0) -> c8(2'(encArg(z0)))
   ENCODE_1(z0) -> c8(1'(encArg(z0)))
   ENCODE_3(z0) -> c8(3'(encArg(z0)))
   ENCARG(cons_0(cons_0(z0))) -> c(0'(0(encArg(z0))), ENCARG(cons_0(z0)))
   ENCARG(cons_0(cons_1(z0))) -> c(0'(1(encArg(z0))), ENCARG(cons_1(z0)))
   ENCARG(cons_0(cons_2(z0))) -> c(0'(2(encArg(z0))), ENCARG(cons_2(z0)))
   ENCARG(cons_0(cons_3(z0))) -> c(0'(3(encArg(z0))), ENCARG(cons_3(z0)))
   ENCARG(cons_1(cons_0(z0))) -> c1(1'(0(encArg(z0))), ENCARG(cons_0(z0)))
   ENCARG(cons_1(cons_1(z0))) -> c1(1'(1(encArg(z0))), ENCARG(cons_1(z0)))
   ENCARG(cons_1(cons_2(z0))) -> c1(1'(2(encArg(z0))), ENCARG(cons_2(z0)))
   ENCARG(cons_1(cons_3(z0))) -> c1(1'(3(encArg(z0))), ENCARG(cons_3(z0)))
   ENCARG(cons_2(cons_0(z0))) -> c2(2'(0(encArg(z0))), ENCARG(cons_0(z0)))
   ENCARG(cons_2(cons_1(z0))) -> c2(2'(1(encArg(z0))), ENCARG(cons_1(z0)))
   ENCARG(cons_2(cons_2(z0))) -> c2(2'(2(encArg(z0))), ENCARG(cons_2(z0)))
   ENCARG(cons_2(cons_3(z0))) -> c2(2'(3(encArg(z0))), ENCARG(cons_3(z0)))
   ENCARG(cons_3(cons_0(z0))) -> c3(3'(0(encArg(z0))), ENCARG(cons_0(z0)))
   ENCARG(cons_3(cons_1(z0))) -> c3(3'(1(encArg(z0))), ENCARG(cons_1(z0)))
   ENCARG(cons_3(cons_2(z0))) -> c3(3'(2(encArg(z0))), ENCARG(cons_2(z0)))
   ENCARG(cons_3(cons_3(z0))) -> c3(3'(3(encArg(z0))), ENCARG(cons_3(z0)))
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   0'(c_2(c_3(c_0(c_1(c_2(c_3(c_2(c_0(c_3(c_1(c_0(c_0(c_0(c_3(c_3(c_0(c_3(x0)))))))))))))))))) -> c9(0'(2(1(c_3(0(0(3(3(0(1(0(2(2(3(3(0(0(3(x0)))))))))))))))))), 2'(1(3(0(0(3(3(0(1(0(2(2(3(3(0(0(3(x0))))))))))))))))), 1'(3(0(0(3(3(0(1(0(2(2(3(3(0(0(3(x0)))))))))))))))), 3'(0(0(3(3(0(1(0(2(2(3(3(0(0(3(x0))))))))))))))), 0'(0(3(3(0(1(0(2(2(3(3(0(0(3(x0)))))))))))))), 0'(3(3(0(1(0(2(2(3(3(0(0(3(x0))))))))))))), 3'(3(0(1(0(2(2(3(3(0(0(3(x0)))))))))))), 3'(0(1(0(2(2(3(3(0(0(3(x0))))))))))), 0'(1(0(2(2(3(3(0(0(3(x0)))))))))), 1'(0(2(2(3(3(0(0(3(x0))))))))), 0'(2(2(3(3(0(0(3(x0)))))))), 2'(2(3(3(0(0(3(x0))))))), 2'(3(3(0(0(3(x0)))))), 3'(3(0(0(3(x0))))), 3'(0(0(3(x0)))), 0'(0(3(x0))), 0'(3(x0)), 3'(x0))
   0'(c_2(c_3(c_0(c_1(c_2(c_3(c_2(c_0(c_3(c_1(c_0(c_0(c_0(c_3(c_3(c_0(c_3(x0)))))))))))))))))) -> c9(0'(2(1(3(c_0(0(3(3(0(1(0(2(2(3(3(0(0(3(x0)))))))))))))))))), 2'(1(3(0(0(3(3(0(1(0(2(2(3(3(0(0(3(x0))))))))))))))))), 1'(3(0(0(3(3(0(1(0(2(2(3(3(0(0(3(x0)))))))))))))))), 3'(0(0(3(3(0(1(0(2(2(3(3(0(0(3(x0))))))))))))))), 0'(0(3(3(0(1(0(2(2(3(3(0(0(3(x0)))))))))))))), 0'(3(3(0(1(0(2(2(3(3(0(0(3(x0))))))))))))), 3'(3(0(1(0(2(2(3(3(0(0(3(x0)))))))))))), 3'(0(1(0(2(2(3(3(0(0(3(x0))))))))))), 0'(1(0(2(2(3(3(0(0(3(x0)))))))))), 1'(0(2(2(3(3(0(0(3(x0))))))))), 0'(2(2(3(3(0(0(3(x0)))))))), 2'(2(3(3(0(0(3(x0))))))), 2'(3(3(0(0(3(x0)))))), 3'(3(0(0(3(x0))))), 3'(0(0(3(x0)))), 0'(0(3(x0))), 0'(3(x0)), 3'(x0))
   0'(c_2(c_3(c_0(c_1(c_2(c_3(c_2(c_0(c_3(c_1(c_0(c_0(c_0(c_3(c_3(c_0(c_3(x0)))))))))))))))))) -> c9(0'(2(1(3(0(c_0(3(3(0(1(0(2(2(3(3(0(0(3(x0)))))))))))))))))), 2'(1(3(0(0(3(3(0(1(0(2(2(3(3(0(0(3(x0))))))))))))))))), 1'(3(0(0(3(3(0(1(0(2(2(3(3(0(0(3(x0)))))))))))))))), 3'(0(0(3(3(0(1(0(2(2(3(3(0(0(3(x0))))))))))))))), 0'(0(3(3(0(1(0(2(2(3(3(0(0(3(x0)))))))))))))), 0'(3(3(0(1(0(2(2(3(3(0(0(3(x0))))))))))))), 3'(3(0(1(0(2(2(3(3(0(0(3(x0)))))))))))), 3'(0(1(0(2(2(3(3(0(0(3(x0))))))))))), 0'(1(0(2(2(3(3(0(0(3(x0)))))))))), 1'(0(2(2(3(3(0(0(3(x0))))))))), 0'(2(2(3(3(0(0(3(x0)))))))), 2'(2(3(3(0(0(3(x0))))))), 2'(3(3(0(0(3(x0)))))), 3'(3(0(0(3(x0))))), 3'(0(0(3(x0)))), 0'(0(3(x0))), 0'(3(x0)), 3'(x0))
   0'(c_2(c_3(c_0(c_1(c_2(c_3(c_2(c_0(c_3(c_1(c_0(c_0(c_0(c_3(c_3(c_0(c_3(x0)))))))))))))))))) -> c9(0'(2(1(3(0(0(c_3(3(0(1(0(2(2(3(3(0(0(3(x0)))))))))))))))))), 2'(1(3(0(0(3(3(0(1(0(2(2(3(3(0(0(3(x0))))))))))))))))), 1'(3(0(0(3(3(0(1(0(2(2(3(3(0(0(3(x0)))))))))))))))), 3'(0(0(3(3(0(1(0(2(2(3(3(0(0(3(x0))))))))))))))), 0'(0(3(3(0(1(0(2(2(3(3(0(0(3(x0)))))))))))))), 0'(3(3(0(1(0(2(2(3(3(0(0(3(x0))))))))))))), 3'(3(0(1(0(2(2(3(3(0(0(3(x0)))))))))))), 3'(0(1(0(2(2(3(3(0(0(3(x0))))))))))), 0'(1(0(2(2(3(3(0(0(3(x0)))))))))), 1'(0(2(2(3(3(0(0(3(x0))))))))), 0'(2(2(3(3(0(0(3(x0)))))))), 2'(2(3(3(0(0(3(x0))))))), 2'(3(3(0(0(3(x0)))))), 3'(3(0(0(3(x0))))), 3'(0(0(3(x0)))), 0'(0(3(x0))), 0'(3(x0)), 3'(x0))
   0'(c_2(c_3(c_0(c_1(c_2(c_3(c_2(c_0(c_3(c_1(c_0(c_0(c_0(c_3(c_3(c_0(c_3(x0)))))))))))))))))) -> c9(0'(2(1(3(0(0(3(c_3(0(1(0(2(2(3(3(0(0(3(x0)))))))))))))))))), 2'(1(3(0(0(3(3(0(1(0(2(2(3(3(0(0(3(x0))))))))))))))))), 1'(3(0(0(3(3(0(1(0(2(2(3(3(0(0(3(x0)))))))))))))))), 3'(0(0(3(3(0(1(0(2(2(3(3(0(0(3(x0))))))))))))))), 0'(0(3(3(0(1(0(2(2(3(3(0(0(3(x0)))))))))))))), 0'(3(3(0(1(0(2(2(3(3(0(0(3(x0))))))))))))), 3'(3(0(1(0(2(2(3(3(0(0(3(x0)))))))))))), 3'(0(1(0(2(2(3(3(0(0(3(x0))))))))))), 0'(1(0(2(2(3(3(0(0(3(x0)))))))))), 1'(0(2(2(3(3(0(0(3(x0))))))))), 0'(2(2(3(3(0(0(3(x0)))))))), 2'(2(3(3(0(0(3(x0))))))), 2'(3(3(0(0(3(x0)))))), 3'(3(0(0(3(x0))))), 3'(0(0(3(x0)))), 0'(0(3(x0))), 0'(3(x0)), 3'(x0))
   0'(c_2(c_3(c_0(c_1(c_2(c_3(c_2(c_0(c_3(c_1(c_0(c_0(c_0(c_3(c_3(c_0(c_3(x0)))))))))))))))))) -> c9(0'(2(1(3(0(0(3(3(c_0(1(0(2(2(3(3(0(0(3(x0)))))))))))))))))), 2'(1(3(0(0(3(3(0(1(0(2(2(3(3(0(0(3(x0))))))))))))))))), 1'(3(0(0(3(3(0(1(0(2(2(3(3(0(0(3(x0)))))))))))))))), 3'(0(0(3(3(0(1(0(2(2(3(3(0(0(3(x0))))))))))))))), 0'(0(3(3(0(1(0(2(2(3(3(0(0(3(x0)))))))))))))), 0'(3(3(0(1(0(2(2(3(3(0(0(3(x0))))))))))))), 3'(3(0(1(0(2(2(3(3(0(0(3(x0)))))))))))), 3'(0(1(0(2(2(3(3(0(0(3(x0))))))))))), 0'(1(0(2(2(3(3(0(0(3(x0)))))))))), 1'(0(2(2(3(3(0(0(3(x0))))))))), 0'(2(2(3(3(0(0(3(x0)))))))), 2'(2(3(3(0(0(3(x0))))))), 2'(3(3(0(0(3(x0)))))), 3'(3(0(0(3(x0))))), 3'(0(0(3(x0)))), 0'(0(3(x0))), 0'(3(x0)), 3'(x0))
   0'(c_2(c_3(c_0(c_1(c_2(c_3(c_2(c_0(c_3(c_1(c_0(c_0(c_0(c_3(c_3(c_0(c_3(x0)))))))))))))))))) -> c9(0'(2(1(3(0(0(3(3(0(c_1(0(2(2(3(3(0(0(3(x0)))))))))))))))))), 2'(1(3(0(0(3(3(0(1(0(2(2(3(3(0(0(3(x0))))))))))))))))), 1'(3(0(0(3(3(0(1(0(2(2(3(3(0(0(3(x0)))))))))))))))), 3'(0(0(3(3(0(1(0(2(2(3(3(0(0(3(x0))))))))))))))), 0'(0(3(3(0(1(0(2(2(3(3(0(0(3(x0)))))))))))))), 0'(3(3(0(1(0(2(2(3(3(0(0(3(x0))))))))))))), 3'(3(0(1(0(2(2(3(3(0(0(3(x0)))))))))))), 3'(0(1(0(2(2(3(3(0(0(3(x0))))))))))), 0'(1(0(2(2(3(3(0(0(3(x0)))))))))), 1'(0(2(2(3(3(0(0(3(x0))))))))), 0'(2(2(3(3(0(0(3(x0)))))))), 2'(2(3(3(0(0(3(x0))))))), 2'(3(3(0(0(3(x0)))))), 3'(3(0(0(3(x0))))), 3'(0(0(3(x0)))), 0'(0(3(x0))), 0'(3(x0)), 3'(x0))
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   0'(c_1(c_0(c_2(c_1(c_1(c_0(c_0(c_1(c_0(c_3(c_1(c_1(c_0(c_2(c_1(c_2(c_3(c_2(c_0(c_1(c_2(c_1(c_0(c_3(c_3(c_3(c_3(c_1(c_2(c_1(c_1(c_0(c_1(c_0(z0))))))))))))))))))))))))))))))))))) -> c10(0'(1(2(0(0(2(1(1(0(1(1(1(0(1(3(0(2(3(0(0(2(1(3(2(3(3(1(1(3(1(1(0(2(0(1(z0))))))))))))))))))))))))))))))))))), 1'(2(0(0(2(1(1(0(1(1(1(0(1(3(0(2(3(c_2(c_0(c_1(c_2(c_1(c_0(c_3(c_3(c_3(c_3(c_1(c_2(c_1(c_1(c_0(c_1(c_0(z0)))))))))))))))))))))))))))))))))), 2'(0(0(2(1(1(0(1(1(1(0(1(3(0(2(3(c_2(c_0(c_1(c_2(c_1(c_0(c_3(c_3(c_3(c_3(c_1(c_2(c_1(c_1(c_0(c_1(c_0(z0))))))))))))))))))))))))))))))))), 0'(0(2(1(1(0(1(1(1(0(1(3(0(2(3(c_2(c_0(c_1(c_2(c_1(c_0(c_3(c_3(c_3(c_3(c_1(c_2(c_1(c_1(c_0(c_1(c_0(z0)))))))))))))))))))))))))))))))), 0'(2(1(1(0(1(1(1(0(1(3(0(2(3(c_2(c_0(c_1(c_2(c_1(c_0(c_3(c_3(c_3(c_3(c_1(c_2(c_1(c_1(c_0(c_1(c_0(z0))))))))))))))))))))))))))))))), 2'(1(1(0(1(1(1(0(1(3(0(2(3(c_2(c_0(c_1(c_2(c_1(c_0(c_3(c_3(c_3(c_3(c_1(c_2(c_1(c_1(c_0(c_1(c_0(z0)))))))))))))))))))))))))))))), 1'(1(0(1(1(1(0(1(3(0(2(3(c_2(c_0(c_1(c_2(c_1(c_0(c_3(c_3(c_3(c_3(c_1(c_2(c_1(c_1(c_0(c_1(c_0(z0))))))))))))))))))))))))))))), 1'(0(1(1(1(0(1(3(0(2(3(c_2(c_0(c_1(c_2(c_1(c_0(c_3(c_3(c_3(c_3(c_1(c_2(c_1(c_1(c_0(c_1(c_0(z0)))))))))))))))))))))))))))), 0'(1(1(1(0(1(3(0(2(3(c_2(c_0(c_1(c_2(c_1(c_0(c_3(c_3(c_3(c_3(c_1(c_2(c_1(c_1(c_0(c_1(c_0(z0))))))))))))))))))))))))))), 1'(1(1(0(1(3(0(2(3(c_2(c_0(c_1(c_2(c_1(c_0(c_3(c_3(c_3(c_3(c_1(c_2(c_1(c_1(c_0(c_1(c_0(z0)))))))))))))))))))))))))), 1'(1(0(1(3(0(2(3(c_2(c_0(c_1(c_2(c_1(c_0(c_3(c_3(c_3(c_3(c_1(c_2(c_1(c_1(c_0(c_1(c_0(z0))))))))))))))))))))))))), 1'(0(1(3(0(2(3(c_2(c_0(c_1(c_2(c_1(c_0(c_3(c_3(c_3(c_3(c_1(c_2(c_1(c_1(c_0(c_1(c_0(z0)))))))))))))))))))))))), 0'(1(3(0(2(3(c_2(c_0(c_1(c_2(c_1(c_0(c_3(c_3(c_3(c_3(c_1(c_2(c_1(c_1(c_0(c_1(c_0(z0))))))))))))))))))))))), 1'(3(0(2(3(c_2(c_0(c_1(c_2(c_1(c_0(c_3(c_3(c_3(c_3(c_1(c_2(c_1(c_1(c_0(c_1(c_0(z0)))))))))))))))))))))), 3'(0(2(3(c_2(c_0(c_1(c_2(c_1(c_0(c_3(c_3(c_3(c_3(c_1(c_2(c_1(c_1(c_0(c_1(c_0(z0))))))))))))))))))))), 0'(2(3(c_2(c_0(c_1(c_2(c_1(c_0(c_3(c_3(c_3(c_3(c_1(c_2(c_1(c_1(c_0(c_1(c_0(z0)))))))))))))))))))), 2'(3(c_2(c_0(c_1(c_2(c_1(c_0(c_3(c_3(c_3(c_3(c_1(c_2(c_1(c_1(c_0(c_1(c_0(z0))))))))))))))))))), 3'(c_2(c_0(c_1(c_2(c_1(c_0(c_3(c_3(c_3(c_3(c_1(c_2(c_1(c_1(c_0(c_1(c_0(z0)))))))))))))))))))
S tuples:
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   0'(c_2(c_1(c_0(c_3(c_0(c_3(c_0(c_3(c_2(c_0(c_1(c_0(c_1(c_2(c_2(c_1(c_1(z0)))))))))))))))))) -> c15(0'(2(3(0(3(2(2(1(2(1(1(0(0(3(0(0(1(1(z0)))))))))))))))))), 2'(3(0(3(2(2(1(2(1(1(0(0(3(0(0(1(1(z0))))))))))))))))), 3'(0(3(2(2(1(2(1(1(0(0(3(0(0(1(1(z0)))))))))))))))), 0'(3(2(2(1(2(1(1(0(0(3(0(0(1(1(z0))))))))))))))), 3'(2(2(1(2(1(1(0(0(3(0(0(1(1(z0)))))))))))))), 2'(2(1(2(1(1(0(0(3(0(0(1(1(z0))))))))))))), 2'(1(2(1(1(0(0(3(0(0(1(1(z0)))))))))))), 1'(2(1(1(0(0(3(0(0(1(1(z0))))))))))), 2'(1(1(0(0(3(0(0(1(1(z0)))))))))), 1'(1(0(0(3(0(0(1(1(z0))))))))), 1'(0(0(3(0(0(1(1(z0)))))))), 0'(0(3(0(0(1(1(z0))))))), 0'(3(0(0(1(1(z0)))))), 3'(0(0(1(1(z0))))), 0'(0(1(1(z0)))), 0'(1(1(z0))), 1'(1(z0)), 1'(z0))
   0'(c_0(c_2(c_2(c_1(c_3(c_2(c_2(c_2(c_1(c_0(c_2(c_2(c_0(c_2(c_2(c_0(c_0(z0)))))))))))))))))) -> c16(0'(2(2(2(2(1(3(0(0(2(1(0(2(2(2(2(0(0(z0)))))))))))))))))), 2'(2(2(2(1(3(0(0(2(1(0(2(2(2(2(0(0(z0))))))))))))))))), 2'(2(2(1(3(0(0(2(1(0(2(2(2(2(0(0(z0)))))))))))))))), 2'(2(1(3(0(0(2(1(0(2(2(2(2(0(0(z0))))))))))))))), 2'(1(3(0(0(2(1(0(2(2(2(2(0(0(z0)))))))))))))), 1'(3(0(0(2(1(0(2(2(2(2(0(0(z0))))))))))))), 3'(0(0(2(1(0(2(2(2(2(0(0(z0)))))))))))), 0'(0(2(1(0(2(2(2(2(0(0(z0))))))))))), 0'(2(1(0(2(2(2(2(0(0(z0)))))))))), 2'(1(0(2(2(2(2(0(0(z0))))))))), 1'(0(2(2(2(2(0(0(z0)))))))), 0'(2(2(2(2(0(0(z0))))))), 2'(2(2(2(0(0(z0)))))), 2'(2(2(0(0(z0))))), 2'(2(0(0(z0)))), 2'(0(0(z0))), 0'(0(z0)), 0'(z0))
   0'(c_3(c_1(c_1(c_2(c_3(c_0(c_3(c_0(c_1(c_0(c_1(c_2(c_2(c_1(c_0(c_2(c_2(z0)))))))))))))))))) -> c17(0'(0(1(3(0(0(2(2(2(3(2(1(1(1(1(0(3(2(z0)))))))))))))))))), 0'(1(3(0(0(2(2(2(3(2(1(1(1(1(0(3(2(z0))))))))))))))))), 1'(3(0(0(2(2(2(3(2(1(1(1(1(0(3(2(z0)))))))))))))))), 3'(0(0(2(2(2(3(2(1(1(1(1(0(3(2(z0))))))))))))))), 0'(0(2(2(2(3(2(1(1(1(1(0(3(2(z0)))))))))))))), 0'(2(2(2(3(2(1(1(1(1(0(3(2(z0))))))))))))), 2'(2(2(3(2(1(1(1(1(0(3(2(z0)))))))))))), 2'(2(3(2(1(1(1(1(0(3(2(z0))))))))))), 2'(3(2(1(1(1(1(0(3(2(z0)))))))))), 3'(2(1(1(1(1(0(3(2(z0))))))))), 2'(1(1(1(1(0(3(2(z0)))))))), 1'(1(1(1(0(3(2(z0))))))), 1'(1(1(0(3(2(z0)))))), 1'(1(0(3(2(z0))))), 1'(0(3(2(z0)))), 0'(3(2(z0))), 3'(2(z0)), 2'(z0))
   0'(c_1(c_1(c_1(c_1(c_3(c_1(c_1(c_0(c_1(c_3(c_1(c_0(c_2(c_3(c_3(c_3(c_2(z0)))))))))))))))))) -> c18(0'(2(0(1(3(1(1(3(1(0(1(3(2(1(3(1(1(3(z0)))))))))))))))))), 2'(0(1(3(1(1(3(1(0(1(3(2(1(3(1(1(3(z0))))))))))))))))), 0'(1(3(1(1(3(1(0(1(3(2(1(3(1(1(3(z0)))))))))))))))), 1'(3(1(1(3(1(0(1(3(2(1(3(1(1(3(z0))))))))))))))), 3'(1(1(3(1(0(1(3(2(1(3(1(1(3(z0)))))))))))))), 1'(1(3(1(0(1(3(2(1(3(1(1(3(z0))))))))))))), 1'(3(1(0(1(3(2(1(3(1(1(3(z0)))))))))))), 3'(1(0(1(3(2(1(3(1(1(3(z0))))))))))), 1'(0(1(3(2(1(3(1(1(3(z0)))))))))), 0'(1(3(2(1(3(1(1(3(z0))))))))), 1'(3(2(1(3(1(1(3(z0)))))))), 3'(2(1(3(1(1(3(z0))))))), 2'(1(3(1(1(3(z0)))))), 1'(3(1(1(3(z0))))), 3'(1(1(3(z0)))), 1'(1(3(z0))), 1'(3(z0)), 3'(z0))
   0'(c_3(c_0(c_1(c_0(c_3(c_0(c_1(c_1(c_1(c_2(c_0(c_0(c_0(c_3(c_2(c_1(c_0(z0)))))))))))))))))) -> c19(0'(0(2(2(1(3(0(0(1(3(0(1(0(1(0(0(1(3(z0)))))))))))))))))), 0'(2(2(1(3(0(0(1(3(0(1(0(1(0(0(1(3(z0))))))))))))))))), 2'(2(1(3(0(0(1(3(0(1(0(1(0(0(1(3(z0)))))))))))))))), 2'(1(3(0(0(1(3(0(1(0(1(0(0(1(3(z0))))))))))))))), 1'(3(0(0(1(3(0(1(0(1(0(0(1(3(z0)))))))))))))), 3'(0(0(1(3(0(1(0(1(0(0(1(3(z0))))))))))))), 0'(0(1(3(0(1(0(1(0(0(1(3(z0)))))))))))), 0'(1(3(0(1(0(1(0(0(1(3(z0))))))))))), 1'(3(0(1(0(1(0(0(1(3(z0)))))))))), 3'(0(1(0(1(0(0(1(3(z0))))))))), 0'(1(0(1(0(0(1(3(z0)))))))), 1'(0(1(0(0(1(3(z0))))))), 0'(1(0(0(1(3(z0)))))), 1'(0(0(1(3(z0))))), 0'(0(1(3(z0)))), 0'(1(3(z0))), 1'(3(z0)), 3'(z0))
   1'(c_0(c_1(c_0(c_2(c_0(c_2(c_3(c_1(c_1(c_2(c_2(c_0(c_0(c_3(c_0(c_3(c_2(z0)))))))))))))))))) -> c21(0'(0(0(1(1(3(1(3(2(0(0(2(2(1(3(0(2(2(z0)))))))))))))))))), 0'(0(1(1(3(1(3(2(0(0(2(2(1(3(0(2(2(z0))))))))))))))))), 0'(1(1(3(1(3(2(0(0(2(2(1(3(0(2(2(z0)))))))))))))))), 1'(1(3(1(3(2(0(0(2(2(1(3(0(2(2(z0))))))))))))))), 1'(3(1(3(2(0(0(2(2(1(3(0(2(2(z0)))))))))))))), 3'(1(3(2(0(0(2(2(1(3(0(2(2(z0))))))))))))), 1'(3(2(0(0(2(2(1(3(0(2(2(z0)))))))))))), 3'(2(0(0(2(2(1(3(0(2(2(z0))))))))))), 2'(0(0(2(2(1(3(0(2(2(z0)))))))))), 0'(0(2(2(1(3(0(2(2(z0))))))))), 0'(2(2(1(3(0(2(2(z0)))))))), 2'(2(1(3(0(2(2(z0))))))), 2'(1(3(0(2(2(z0)))))), 1'(3(0(2(2(z0))))), 3'(0(2(2(z0)))), 0'(2(2(z0))), 2'(2(z0)), 2'(z0))
   1'(c_2(c_0(c_0(c_2(c_1(c_3(c_2(c_2(c_3(c_2(c_2(c_0(c_3(c_2(c_3(c_2(c_2(z0)))))))))))))))))) -> c22(1'(2(0(3(2(2(2(2(3(0(0(2(2(2(3(1(3(2(z0)))))))))))))))))), 2'(0(3(2(2(2(2(3(0(0(2(2(2(3(1(3(2(z0))))))))))))))))), 0'(3(2(2(2(2(3(0(0(2(2(2(3(1(3(2(z0)))))))))))))))), 3'(2(2(2(2(3(0(0(2(2(2(3(1(3(2(z0))))))))))))))), 2'(2(2(2(3(0(0(2(2(2(3(1(3(2(z0)))))))))))))), 2'(2(2(3(0(0(2(2(2(3(1(3(2(z0))))))))))))), 2'(2(3(0(0(2(2(2(3(1(3(2(z0)))))))))))), 2'(3(0(0(2(2(2(3(1(3(2(z0))))))))))), 3'(0(0(2(2(2(3(1(3(2(z0)))))))))), 0'(0(2(2(2(3(1(3(2(z0))))))))), 0'(2(2(2(3(1(3(2(z0)))))))), 2'(2(2(3(1(3(2(z0))))))), 2'(2(3(1(3(2(z0)))))), 2'(3(1(3(2(z0))))), 3'(1(3(2(z0)))), 1'(3(2(z0))), 3'(2(z0)), 2'(z0))
   1'(c_0(c_2(c_3(c_3(c_3(c_1(c_0(c_2(c_0(c_1(c_2(c_2(c_3(c_2(c_1(c_0(c_1(z0)))))))))))))))))) -> c23(2'(3(2(1(0(1(3(1(3(0(2(3(0(2(0(1(2(1(z0)))))))))))))))))), 3'(2(1(0(1(3(1(3(0(2(3(0(2(0(1(2(1(z0))))))))))))))))), 2'(1(0(1(3(1(3(0(2(3(0(2(0(1(2(1(z0)))))))))))))))), 1'(0(1(3(1(3(0(2(3(0(2(0(1(2(1(z0))))))))))))))), 0'(1(3(1(3(0(2(3(0(2(0(1(2(1(z0)))))))))))))), 1'(3(1(3(0(2(3(0(2(0(1(2(1(z0))))))))))))), 3'(1(3(0(2(3(0(2(0(1(2(1(z0)))))))))))), 1'(3(0(2(3(0(2(0(1(2(1(z0))))))))))), 3'(0(2(3(0(2(0(1(2(1(z0)))))))))), 0'(2(3(0(2(0(1(2(1(z0))))))))), 2'(3(0(2(0(1(2(1(z0)))))))), 3'(0(2(0(1(2(1(z0))))))), 0'(2(0(1(2(1(z0)))))), 2'(0(1(2(1(z0))))), 0'(1(2(1(z0)))), 1'(2(1(z0))), 2'(1(z0)), 1'(z0))
   1'(c_1(c_1(c_2(c_1(c_1(c_1(c_2(c_1(c_3(c_1(c_0(c_1(c_2(c_1(c_2(c_3(c_1(z0)))))))))))))))))) -> c24(1'(1(1(1(1(1(3(0(2(2(1(1(1(2(3(1(2(1(z0)))))))))))))))))), 1'(1(1(1(1(3(0(2(2(1(1(1(2(3(1(2(1(z0))))))))))))))))), 1'(1(1(1(3(0(2(2(1(1(1(2(3(1(2(1(z0)))))))))))))))), 1'(1(1(3(0(2(2(1(1(1(2(3(1(2(1(z0))))))))))))))), 1'(1(3(0(2(2(1(1(1(2(3(1(2(1(z0)))))))))))))), 1'(3(0(2(2(1(1(1(2(3(1(2(1(z0))))))))))))), 3'(0(2(2(1(1(1(2(3(1(2(1(z0)))))))))))), 0'(2(2(1(1(1(2(3(1(2(1(z0))))))))))), 2'(2(1(1(1(2(3(1(2(1(z0)))))))))), 2'(1(1(1(2(3(1(2(1(z0))))))))), 1'(1(1(2(3(1(2(1(z0)))))))), 1'(1(2(3(1(2(1(z0))))))), 1'(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))
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   1'(c_3(c_3(c_0(c_1(c_1(c_3(c_2(c_2(c_1(c_1(c_0(c_3(c_1(c_2(c_1(c_0(c_0(z0)))))))))))))))))) -> c46(1'(3(1(1(0(0(1(1(2(1(3(0(2(3(1(0(2(3(z0)))))))))))))))))), 3'(1(1(0(0(1(1(2(1(3(0(2(3(1(0(2(3(z0))))))))))))))))), 1'(1(0(0(1(1(2(1(3(0(2(3(1(0(2(3(z0)))))))))))))))), 1'(0(0(1(1(2(1(3(0(2(3(1(0(2(3(z0))))))))))))))), 0'(0(1(1(2(1(3(0(2(3(1(0(2(3(z0)))))))))))))), 0'(1(1(2(1(3(0(2(3(1(0(2(3(z0))))))))))))), 1'(1(2(1(3(0(2(3(1(0(2(3(z0)))))))))))), 1'(2(1(3(0(2(3(1(0(2(3(z0))))))))))), 2'(1(3(0(2(3(1(0(2(3(z0)))))))))), 1'(3(0(2(3(1(0(2(3(z0))))))))), 3'(0(2(3(1(0(2(3(z0)))))))), 0'(2(3(1(0(2(3(z0))))))), 2'(3(1(0(2(3(z0)))))), 3'(1(0(2(3(z0))))), 1'(0(2(3(z0)))), 0'(2(3(z0))), 2'(3(z0)), 3'(z0))
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   0'(c_1(c_0(c_2(c_1(c_1(c_0(c_0(c_1(c_0(c_3(c_1(c_1(c_0(c_2(c_1(c_2(c_3(c_2(c_0(c_1(c_2(c_1(c_0(c_3(c_3(c_3(c_3(c_1(c_2(c_1(c_1(c_0(c_1(c_0(z0))))))))))))))))))))))))))))))))))) -> c10(0'(1(2(0(0(2(1(1(0(1(1(1(0(1(3(0(2(3(0(0(2(1(3(2(3(3(1(1(3(1(1(0(2(0(1(z0))))))))))))))))))))))))))))))))))), 1'(2(0(0(2(1(1(0(1(1(1(0(1(3(0(2(3(c_2(c_0(c_1(c_2(c_1(c_0(c_3(c_3(c_3(c_3(c_1(c_2(c_1(c_1(c_0(c_1(c_0(z0)))))))))))))))))))))))))))))))))), 2'(0(0(2(1(1(0(1(1(1(0(1(3(0(2(3(c_2(c_0(c_1(c_2(c_1(c_0(c_3(c_3(c_3(c_3(c_1(c_2(c_1(c_1(c_0(c_1(c_0(z0))))))))))))))))))))))))))))))))), 0'(0(2(1(1(0(1(1(1(0(1(3(0(2(3(c_2(c_0(c_1(c_2(c_1(c_0(c_3(c_3(c_3(c_3(c_1(c_2(c_1(c_1(c_0(c_1(c_0(z0)))))))))))))))))))))))))))))))), 0'(2(1(1(0(1(1(1(0(1(3(0(2(3(c_2(c_0(c_1(c_2(c_1(c_0(c_3(c_3(c_3(c_3(c_1(c_2(c_1(c_1(c_0(c_1(c_0(z0))))))))))))))))))))))))))))))), 2'(1(1(0(1(1(1(0(1(3(0(2(3(c_2(c_0(c_1(c_2(c_1(c_0(c_3(c_3(c_3(c_3(c_1(c_2(c_1(c_1(c_0(c_1(c_0(z0)))))))))))))))))))))))))))))), 1'(1(0(1(1(1(0(1(3(0(2(3(c_2(c_0(c_1(c_2(c_1(c_0(c_3(c_3(c_3(c_3(c_1(c_2(c_1(c_1(c_0(c_1(c_0(z0))))))))))))))))))))))))))))), 1'(0(1(1(1(0(1(3(0(2(3(c_2(c_0(c_1(c_2(c_1(c_0(c_3(c_3(c_3(c_3(c_1(c_2(c_1(c_1(c_0(c_1(c_0(z0)))))))))))))))))))))))))))), 0'(1(1(1(0(1(3(0(2(3(c_2(c_0(c_1(c_2(c_1(c_0(c_3(c_3(c_3(c_3(c_1(c_2(c_1(c_1(c_0(c_1(c_0(z0))))))))))))))))))))))))))), 1'(1(1(0(1(3(0(2(3(c_2(c_0(c_1(c_2(c_1(c_0(c_3(c_3(c_3(c_3(c_1(c_2(c_1(c_1(c_0(c_1(c_0(z0)))))))))))))))))))))))))), 1'(1(0(1(3(0(2(3(c_2(c_0(c_1(c_2(c_1(c_0(c_3(c_3(c_3(c_3(c_1(c_2(c_1(c_1(c_0(c_1(c_0(z0))))))))))))))))))))))))), 1'(0(1(3(0(2(3(c_2(c_0(c_1(c_2(c_1(c_0(c_3(c_3(c_3(c_3(c_1(c_2(c_1(c_1(c_0(c_1(c_0(z0)))))))))))))))))))))))), 0'(1(3(0(2(3(c_2(c_0(c_1(c_2(c_1(c_0(c_3(c_3(c_3(c_3(c_1(c_2(c_1(c_1(c_0(c_1(c_0(z0))))))))))))))))))))))), 1'(3(0(2(3(c_2(c_0(c_1(c_2(c_1(c_0(c_3(c_3(c_3(c_3(c_1(c_2(c_1(c_1(c_0(c_1(c_0(z0)))))))))))))))))))))), 3'(0(2(3(c_2(c_0(c_1(c_2(c_1(c_0(c_3(c_3(c_3(c_3(c_1(c_2(c_1(c_1(c_0(c_1(c_0(z0))))))))))))))))))))), 0'(2(3(c_2(c_0(c_1(c_2(c_1(c_0(c_3(c_3(c_3(c_3(c_1(c_2(c_1(c_1(c_0(c_1(c_0(z0)))))))))))))))))))), 2'(3(c_2(c_0(c_1(c_2(c_1(c_0(c_3(c_3(c_3(c_3(c_1(c_2(c_1(c_1(c_0(c_1(c_0(z0))))))))))))))))))), 3'(c_2(c_0(c_1(c_2(c_1(c_0(c_3(c_3(c_3(c_3(c_1(c_2(c_1(c_1(c_0(c_1(c_0(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_2_1, ENCODE_1_1, ENCODE_3_1, ENCARG_1

Compound Symbols:   c11_18, c12_18, c13_18, c14_18, c15_18, c16_18, c17_18, c18_18, c19_18, c21_18, c22_18, c23_18, c24_18, c25_18, c26_18, c27_18, c28_18, c29_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, c43_18, c44_18, c45_18, c46_18, c47_18, c48_18, c49_18, c50_18, c51_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_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, 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, c10_18