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


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


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# AProVE Commit ID: 794c25de1cacf0d048858bcd21c9a779e1221865 marcel 20200619 unpublished dirty


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

(0) DCpxTrs
(1) DerivationalComplexityToRuntimeComplexityProof [BOTH BOUNDS(ID, ID), 0 ms]
(2) CpxRelTRS
(3) SInnermostTerminationProof [BOTH CONCRETE BOUNDS(ID, ID), 57 ms]
(4) CpxRelTRS
(5) RelTrsToDecreasingLoopProblemProof [LOWER BOUND(ID), 5 ms]
(6) TRS for Loop Detection
(7) RenamingProof [BOTH BOUNDS(ID, ID), 6 ms]
(8) CpxRelTRS
    (9) TypeInferenceProof [BOTH BOUNDS(ID, ID), 0 ms]
    (10) typed CpxTrs
    (11) OrderProof [LOWER BOUND(ID), 0 ms]
    (12) typed CpxTrs
(13) RelTrsToTrsProof [UPPER BOUND(ID), 0 ms]
(14) CpxTRS
(15) NonCtorToCtorProof [UPPER BOUND(ID), 1 ms]
(16) CpxRelTRS
    (17) RcToIrcProof [BOTH BOUNDS(ID, ID), 1265 ms]
    (18) CpxRelTRS
    (19) RelTrsToWeightedTrsProof [BOTH BOUNDS(ID, ID), 0 ms]
    (20) CpxWeightedTrs
        (21) CpxWeightedTrsRenamingProof [BOTH BOUNDS(ID, ID), 15 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), 1562 ms]
            (28) CpxTypedWeightedCompleteTrs
            (29) CpxTypedWeightedTrsToRntsProof [UPPER BOUND(ID), 42 ms]
            (30) CpxRNTS
            (31) SimplificationProof [BOTH BOUNDS(ID, ID), 83 ms]
            (32) CpxRNTS
        (33) CompletionProof [UPPER BOUND(ID), 17 ms]
        (34) CpxTypedWeightedCompleteTrs
            (35) CpxTypedWeightedTrsToRntsProof [UPPER BOUND(ID), 0 ms]
            (36) CpxRNTS
    (37) CpxTrsToCdtProof [UPPER BOUND(ID), 1028 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), 7498 ms]
        (46) CdtProblem
        (47) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 2347 ms]
        (48) CdtProblem
        (49) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 2383 ms]
        (50) CdtProblem
        (51) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 2379 ms]
        (52) CdtProblem
        (53) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 2309 ms]
        (54) CdtProblem
        (55) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 6110 ms]
        (56) CdtProblem


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

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


The TRS R consists of the following rules:

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

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

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

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


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

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


The TRS R consists of the following rules:

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

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

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

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

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

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


The TRS R consists of the following rules:

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

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

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

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

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

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

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


The TRS R consists of the following rules:

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

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

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

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

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

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


The TRS R consists of the following rules:

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

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

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

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

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

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

Types:
0 :: 2:1:0:3:encArg:encode_0:encode_1:encode_3:encode_2 -> 2:1:0:3:encArg:encode_0:encode_1:encode_3:encode_2
1 :: 2:1:0:3:encArg:encode_0:encode_1:encode_3:encode_2 -> 2:1:0:3:encArg:encode_0:encode_1:encode_3:encode_2
3 :: 2:1:0:3:encArg:encode_0:encode_1:encode_3:encode_2 -> 2:1:0:3:encArg:encode_0:encode_1:encode_3:encode_2
2 :: 2:1:0:3:encArg:encode_0:encode_1:encode_3:encode_2 -> 2:1:0:3:encArg:encode_0:encode_1:encode_3:encode_2
encArg :: cons_0:cons_1:cons_2:cons_3 -> 2:1:0:3:encArg:encode_0:encode_1:encode_3:encode_2
cons_0 :: cons_0:cons_1:cons_2:cons_3 -> cons_0:cons_1:cons_2:cons_3
cons_1 :: cons_0:cons_1:cons_2:cons_3 -> cons_0:cons_1:cons_2:cons_3
cons_2 :: cons_0:cons_1:cons_2:cons_3 -> cons_0:cons_1:cons_2:cons_3
cons_3 :: cons_0:cons_1:cons_2:cons_3 -> cons_0:cons_1:cons_2:cons_3
encode_0 :: cons_0:cons_1:cons_2:cons_3 -> 2:1:0:3:encArg:encode_0:encode_1:encode_3:encode_2
encode_1 :: cons_0:cons_1:cons_2:cons_3 -> 2:1:0:3:encArg:encode_0:encode_1:encode_3:encode_2
encode_3 :: cons_0:cons_1:cons_2:cons_3 -> 2:1:0:3:encArg:encode_0:encode_1:encode_3:encode_2
encode_2 :: cons_0:cons_1:cons_2:cons_3 -> 2:1:0:3:encArg:encode_0:encode_1:encode_3:encode_2
hole_2:1:0:3:encArg:encode_0:encode_1:encode_3:encode_21_4 :: 2:1:0:3:encArg:encode_0:encode_1:encode_3:encode_2
hole_cons_0:cons_1:cons_2:cons_32_4 :: cons_0:cons_1:cons_2:cons_3
gen_cons_0:cons_1:cons_2:cons_33_4 :: Nat -> cons_0:cons_1:cons_2:cons_3

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

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

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

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

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

Types:
0 :: 2:1:0:3:encArg:encode_0:encode_1:encode_3:encode_2 -> 2:1:0:3:encArg:encode_0:encode_1:encode_3:encode_2
1 :: 2:1:0:3:encArg:encode_0:encode_1:encode_3:encode_2 -> 2:1:0:3:encArg:encode_0:encode_1:encode_3:encode_2
3 :: 2:1:0:3:encArg:encode_0:encode_1:encode_3:encode_2 -> 2:1:0:3:encArg:encode_0:encode_1:encode_3:encode_2
2 :: 2:1:0:3:encArg:encode_0:encode_1:encode_3:encode_2 -> 2:1:0:3:encArg:encode_0:encode_1:encode_3:encode_2
encArg :: cons_0:cons_1:cons_2:cons_3 -> 2:1:0:3:encArg:encode_0:encode_1:encode_3:encode_2
cons_0 :: cons_0:cons_1:cons_2:cons_3 -> cons_0:cons_1:cons_2:cons_3
cons_1 :: cons_0:cons_1:cons_2:cons_3 -> cons_0:cons_1:cons_2:cons_3
cons_2 :: cons_0:cons_1:cons_2:cons_3 -> cons_0:cons_1:cons_2:cons_3
cons_3 :: cons_0:cons_1:cons_2:cons_3 -> cons_0:cons_1:cons_2:cons_3
encode_0 :: cons_0:cons_1:cons_2:cons_3 -> 2:1:0:3:encArg:encode_0:encode_1:encode_3:encode_2
encode_1 :: cons_0:cons_1:cons_2:cons_3 -> 2:1:0:3:encArg:encode_0:encode_1:encode_3:encode_2
encode_3 :: cons_0:cons_1:cons_2:cons_3 -> 2:1:0:3:encArg:encode_0:encode_1:encode_3:encode_2
encode_2 :: cons_0:cons_1:cons_2:cons_3 -> 2:1:0:3:encArg:encode_0:encode_1:encode_3:encode_2
hole_2:1:0:3:encArg:encode_0:encode_1:encode_3:encode_21_4 :: 2:1:0:3:encArg:encode_0:encode_1:encode_3:encode_2
hole_cons_0:cons_1:cons_2:cons_32_4 :: cons_0:cons_1:cons_2:cons_3
gen_cons_0:cons_1:cons_2:cons_33_4 :: Nat -> cons_0:cons_1:cons_2:cons_3


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


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

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

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

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

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


The TRS R consists of the following rules:

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

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

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

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


The TRS R consists of the following rules:

   3(c_3(c_1(c_2(c_1(c_3(c_2(c_2(c_1(c_2(c_1(c_2(c_2(c_0(c_3(c_2(c_1(c_0(x1)))))))))))))))))) -> 3(0(2(1(2(1(2(2(3(1(2(0(2(1(1(2(3(3(x1))))))))))))))))))
   3(c_3(c_0(c_2(c_0(c_1(c_3(c_1(c_0(c_2(c_2(c_2(c_2(c_0(c_3(c_3(c_1(c_0(x1)))))))))))))))))) -> 3(3(2(0(3(1(0(2(1(2(3(0(1(0(2(3(2(0(x1))))))))))))))))))
   0(c_2(c_3(c_3(c_2(c_1(c_3(c_0(c_1(c_3(c_1(c_3(c_3(c_0(c_2(c_1(c_0(c_1(x1)))))))))))))))))) -> 0(2(3(3(0(3(1(0(2(3(1(0(3(3(2(1(1(1(x1))))))))))))))))))
   2(c_0(c_2(c_2(c_3(c_2(c_0(c_2(c_0(c_1(c_1(c_3(c_1(c_3(c_3(c_3(c_2(c_0(x1)))))))))))))))))) -> 2(3(1(2(1(2(0(2(2(1(0(0(3(3(2(0(3(3(x1))))))))))))))))))
   2(c_1(c_0(c_0(c_2(c_2(c_2(c_0(c_1(c_3(c_1(c_3(c_2(c_3(c_2(c_1(c_1(c_2(x1)))))))))))))))))) -> 2(2(0(0(3(0(2(2(1(2(3(1(2(3(1(1(1(2(x1))))))))))))))))))
   0(c_3(c_1(c_0(c_2(c_2(c_1(c_0(c_1(c_1(c_0(c_0(c_3(c_1(c_2(c_2(c_3(c_0(x1)))))))))))))))))) -> 0(3(1(1(0(3(2(0(2(1(2(2(0(3(1(1(0(0(x1))))))))))))))))))
   0(c_1(c_0(c_3(c_2(c_2(c_3(c_2(c_0(c_1(c_1(c_1(c_1(c_0(c_1(c_0(c_1(c_1(x1)))))))))))))))))) -> 1(2(3(1(1(0(0(1(1(3(0(0(2(0(2(1(1(1(x1))))))))))))))))))
   0(c_2(c_0(c_2(c_2(c_1(c_1(c_0(c_2(c_0(c_0(c_0(c_1(c_0(c_3(c_0(c_2(c_0(x1)))))))))))))))))) -> 0(2(1(1(1(0(2(0(2(0(0(0(0(3(2(0(2(0(x1))))))))))))))))))
   1(c_0(c_0(c_0(c_3(c_0(c_2(c_3(c_1(c_2(c_3(c_1(c_1(c_2(c_2(c_2(c_2(c_3(x1)))))))))))))))))) -> 1(3(0(2(1(2(0(1(2(0(0(2(2(1(3(3(2(3(x1))))))))))))))))))
   0(c_0(c_2(c_0(c_0(c_0(c_1(c_1(c_0(c_2(c_2(c_3(c_3(c_0(c_0(c_3(c_0(c_2(x1)))))))))))))))))) -> 0(2(0(0(3(1(1(2(3(0(2(0(0(3(0(0(0(2(x1))))))))))))))))))
   3(c_1(c_0(c_2(c_1(c_0(c_1(c_0(c_1(c_0(c_2(c_2(c_0(c_2(c_3(c_3(c_2(c_2(x1)))))))))))))))))) -> 0(3(0(0(0(2(3(2(1(3(0(2(2(1(1(1(2(2(x1))))))))))))))))))
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   1(c_3(c_1(c_3(c_2(c_2(c_0(c_0(c_0(c_0(c_1(c_3(c_2(c_0(c_1(c_3(c_3(c_0(x1)))))))))))))))))) -> 1(2(0(0(0(0(0(3(1(3(3(3(2(1(2(3(1(0(x1))))))))))))))))))
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   1(c_1(c_2(c_0(c_2(c_2(c_1(c_2(c_3(c_2(c_3(c_1(c_0(c_0(c_1(c_3(c_0(c_2(x1)))))))))))))))))) -> 1(2(2(1(1(2(0(3(1(0(3(1(0(2(2(3(0(2(x1))))))))))))))))))
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   1(c_0(c_3(c_2(c_3(c_2(c_2(c_0(c_3(c_2(c_2(c_1(c_1(c_0(c_3(c_2(c_3(c_3(x1)))))))))))))))))) -> 1(2(3(0(2(2(3(0(2(3(2(1(3(1(2(0(3(3(x1))))))))))))))))))
   3(c_2(c_2(c_0(c_2(c_3(c_0(c_1(c_0(c_3(c_1(c_3(c_3(c_1(c_3(c_1(c_2(c_3(x1)))))))))))))))))) -> 3(2(0(3(1(2(0(3(3(1(1(1(0(2(3(2(3(3(x1))))))))))))))))))
   1(c_1(c_0(c_1(c_1(c_3(c_2(c_0(c_2(c_1(c_2(c_2(c_1(c_2(c_3(c_1(c_1(c_1(x1)))))))))))))))))) -> 1(1(0(3(2(3(1(2(1(2(0(2(2(1(1(1(1(1(x1))))))))))))))))))
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   1(c_3(c_2(c_3(c_0(c_3(c_3(c_3(c_1(c_3(c_3(c_1(c_3(c_3(c_3(c_2(c_2(c_0(x1)))))))))))))))))) -> 1(3(3(3(1(1(0(2(3(3(3(3(3(2(0(3(2(3(x1))))))))))))))))))
   3(c_0(c_3(c_0(c_3(c_2(c_2(c_3(c_2(c_1(c_0(c_2(c_3(c_1(c_2(c_3(c_3(c_0(x1)))))))))))))))))) -> 3(1(2(1(2(3(2(0(2(3(2(0(0(3(3(3(3(0(x1))))))))))))))))))
   3(c_1(c_1(c_0(c_1(c_0(c_3(c_1(c_1(c_2(c_1(c_3(c_0(c_3(c_3(c_1(c_0(c_3(x1)))))))))))))))))) -> 3(1(1(1(3(1(1(1(0(3(0(0(1(2(3(3(0(3(x1))))))))))))))))))
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   1(c_3(c_3(c_1(c_1(c_3(c_0(c_2(c_0(c_1(c_3(c_1(c_3(c_0(c_3(c_2(c_2(c_1(x1)))))))))))))))))) -> 1(3(3(3(0(1(1(2(0(3(1(1(2(3(3(0(2(1(x1))))))))))))))))))
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   1(c_0(c_0(c_0(c_1(c_3(c_2(c_2(c_2(c_2(c_2(c_3(c_1(c_3(c_1(c_1(c_1(c_1(x1)))))))))))))))))) -> 1(2(1(1(3(2(0(1(0(2(1(0(2(3(1(2(3(1(x1))))))))))))))))))
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   1(c_1(c_0(c_0(c_3(c_2(c_2(c_2(c_2(c_0(c_3(c_2(c_2(c_0(c_0(c_1(c_0(c_0(x1)))))))))))))))))) -> 1(3(3(0(0(2(0(1(2(2(2(0(2(1(0(2(0(0(x1))))))))))))))))))
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   1(c_1(c_1(c_0(c_1(c_1(c_2(c_2(c_2(c_1(c_0(c_1(c_1(c_1(c_3(c_3(c_0(c_3(x1)))))))))))))))))) -> 1(2(0(3(1(1(1(0(1(2(1(2(1(1(1(3(0(3(x1))))))))))))))))))
   1(c_0(c_1(c_3(c_2(c_0(c_2(c_1(c_3(c_3(c_2(c_1(c_3(c_2(c_2(c_0(c_1(c_2(x1)))))))))))))))))) -> 1(3(1(2(1(3(3(1(0(0(0(2(1(3(2(2(2(2(x1))))))))))))))))))
   1(c_1(c_3(c_3(c_1(c_0(c_2(c_3(c_2(c_1(c_3(c_2(c_0(c_1(c_1(c_1(c_1(c_1(x1)))))))))))))))))) -> 1(3(1(1(1(1(1(2(1(1(3(0(3(3(0(2(2(1(x1))))))))))))))))))
   0(c_0(c_3(c_1(c_0(c_0(c_2(c_2(c_0(c_0(c_0(c_2(c_2(c_3(c_2(c_2(c_2(c_0(x1)))))))))))))))))) -> 0(0(2(0(2(0(0(2(2(0(2(3(1(3(0(2(2(0(x1))))))))))))))))))
   1(c_3(c_0(c_1(c_3(c_2(c_2(c_2(c_2(c_1(c_0(c_0(c_1(c_2(c_2(c_0(c_0(c_1(x1)))))))))))))))))) -> 1(2(2(1(1(2(1(2(0(0(3(1(2(0(0(0(3(2(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_2(c_0(c_3(c_2(c_1(c_0(x1)))))))))))))))))) -> 3(3(1(0(0(2(1(1(1(2(3(1(1(2(0(0(3(0(x1))))))))))))))))))
   1(c_3(c_1(c_2(c_2(c_2(c_1(c_3(c_3(c_0(c_1(c_1(c_0(c_0(c_2(c_2(c_3(c_2(x1)))))))))))))))))) -> 1(2(2(3(0(2(3(0(3(2(3(1(1(0(1(2(1(2(x1))))))))))))))))))
   3(c_2(c_2(c_2(c_2(c_3(c_3(c_1(c_3(c_1(c_1(c_3(c_3(c_1(c_2(c_2(c_3(c_2(x1)))))))))))))))))) -> 3(2(3(2(3(1(2(3(1(2(3(3(2(3(2(1(1(2(x1))))))))))))))))))

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

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

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

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

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

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


The TRS R consists of the following rules:

   3(c_3(c_1(c_2(c_1(c_3(c_2(c_2(c_1(c_2(c_1(c_2(c_2(c_0(c_3(c_2(c_1(c_0(x1)))))))))))))))))) -> 3(0(2(1(2(1(2(2(3(1(2(0(2(1(1(2(3(3(x1))))))))))))))))))
   3(c_3(c_0(c_2(c_0(c_1(c_3(c_1(c_0(c_2(c_2(c_2(c_2(c_0(c_3(c_3(c_1(c_0(x1)))))))))))))))))) -> 3(3(2(0(3(1(0(2(1(2(3(0(1(0(2(3(2(0(x1))))))))))))))))))
   0(c_2(c_3(c_3(c_2(c_1(c_3(c_0(c_1(c_3(c_1(c_3(c_3(c_0(c_2(c_1(c_0(c_1(x1)))))))))))))))))) -> 0(2(3(3(0(3(1(0(2(3(1(0(3(3(2(1(1(1(x1))))))))))))))))))
   2(c_0(c_2(c_2(c_3(c_2(c_0(c_2(c_0(c_1(c_1(c_3(c_1(c_3(c_3(c_3(c_2(c_0(x1)))))))))))))))))) -> 2(3(1(2(1(2(0(2(2(1(0(0(3(3(2(0(3(3(x1))))))))))))))))))
   2(c_1(c_0(c_0(c_2(c_2(c_2(c_0(c_1(c_3(c_1(c_3(c_2(c_3(c_2(c_1(c_1(c_2(x1)))))))))))))))))) -> 2(2(0(0(3(0(2(2(1(2(3(1(2(3(1(1(1(2(x1))))))))))))))))))
   0(c_3(c_1(c_0(c_2(c_2(c_1(c_0(c_1(c_1(c_0(c_0(c_3(c_1(c_2(c_2(c_3(c_0(x1)))))))))))))))))) -> 0(3(1(1(0(3(2(0(2(1(2(2(0(3(1(1(0(0(x1))))))))))))))))))
   0(c_1(c_0(c_3(c_2(c_2(c_3(c_2(c_0(c_1(c_1(c_1(c_1(c_0(c_1(c_0(c_1(c_1(x1)))))))))))))))))) -> 1(2(3(1(1(0(0(1(1(3(0(0(2(0(2(1(1(1(x1))))))))))))))))))
   0(c_2(c_0(c_2(c_2(c_1(c_1(c_0(c_2(c_0(c_0(c_0(c_1(c_0(c_3(c_0(c_2(c_0(x1)))))))))))))))))) -> 0(2(1(1(1(0(2(0(2(0(0(0(0(3(2(0(2(0(x1))))))))))))))))))
   1(c_0(c_0(c_0(c_3(c_0(c_2(c_3(c_1(c_2(c_3(c_1(c_1(c_2(c_2(c_2(c_2(c_3(x1)))))))))))))))))) -> 1(3(0(2(1(2(0(1(2(0(0(2(2(1(3(3(2(3(x1))))))))))))))))))
   0(c_0(c_2(c_0(c_0(c_0(c_1(c_1(c_0(c_2(c_2(c_3(c_3(c_0(c_0(c_3(c_0(c_2(x1)))))))))))))))))) -> 0(2(0(0(3(1(1(2(3(0(2(0(0(3(0(0(0(2(x1))))))))))))))))))
   3(c_1(c_0(c_2(c_1(c_0(c_1(c_0(c_1(c_0(c_2(c_2(c_0(c_2(c_3(c_3(c_2(c_2(x1)))))))))))))))))) -> 0(3(0(0(0(2(3(2(1(3(0(2(2(1(1(1(2(2(x1))))))))))))))))))
   3(c_0(c_1(c_0(c_2(c_3(c_2(c_0(c_1(c_0(c_1(c_2(c_3(c_1(c_2(c_0(c_1(c_2(x1)))))))))))))))))) -> 3(0(1(1(1(1(2(2(3(0(1(2(0(3(0(2(0(2(x1))))))))))))))))))
   3(c_2(c_0(c_3(c_0(c_1(c_1(c_0(c_2(c_3(c_0(c_3(c_0(c_0(c_1(c_0(c_2(c_0(x1)))))))))))))))))) -> 3(2(0(0(1(1(1(0(0(3(3(2(3(0(0(0(2(0(x1))))))))))))))))))
   1(c_3(c_1(c_3(c_2(c_2(c_0(c_0(c_0(c_0(c_1(c_3(c_2(c_0(c_1(c_3(c_3(c_0(x1)))))))))))))))))) -> 1(2(0(0(0(0(0(3(1(3(3(3(2(1(2(3(1(0(x1))))))))))))))))))
   0(c_0(c_3(c_2(c_0(c_0(c_1(c_0(c_1(c_3(c_2(c_3(c_2(c_2(c_2(c_0(c_1(c_1(x1)))))))))))))))))) -> 2(0(0(1(3(1(2(1(2(0(3(2(0(0(3(0(1(2(x1))))))))))))))))))
   1(c_1(c_2(c_0(c_2(c_2(c_1(c_2(c_3(c_2(c_3(c_1(c_0(c_0(c_1(c_3(c_0(c_2(x1)))))))))))))))))) -> 1(2(2(1(1(2(0(3(1(0(3(1(0(2(2(3(0(2(x1))))))))))))))))))
   2(c_0(c_2(c_0(c_0(c_1(c_1(c_1(c_3(c_1(c_1(c_3(c_2(c_3(c_1(c_3(c_2(c_3(x1)))))))))))))))))) -> 2(0(1(1(1(0(3(1(2(1(0(1(2(3(3(3(2(3(x1))))))))))))))))))
   1(c_0(c_3(c_2(c_3(c_2(c_2(c_0(c_3(c_2(c_2(c_1(c_1(c_0(c_3(c_2(c_3(c_3(x1)))))))))))))))))) -> 1(2(3(0(2(2(3(0(2(3(2(1(3(1(2(0(3(3(x1))))))))))))))))))
   3(c_2(c_2(c_0(c_2(c_3(c_0(c_1(c_0(c_3(c_1(c_3(c_3(c_1(c_3(c_1(c_2(c_3(x1)))))))))))))))))) -> 3(2(0(3(1(2(0(3(3(1(1(1(0(2(3(2(3(3(x1))))))))))))))))))
   1(c_1(c_0(c_1(c_1(c_3(c_2(c_0(c_2(c_1(c_2(c_2(c_1(c_2(c_3(c_1(c_1(c_1(x1)))))))))))))))))) -> 1(1(0(3(2(3(1(2(1(2(0(2(2(1(1(1(1(1(x1))))))))))))))))))
   2(c_3(c_1(c_0(c_0(c_3(c_1(c_0(c_1(c_3(c_0(c_1(c_2(c_2(c_2(c_2(c_0(c_2(x1)))))))))))))))))) -> 2(0(2(0(0(1(1(2(3(1(1(0(2(3(2(3(0(2(x1))))))))))))))))))
   1(c_3(c_2(c_3(c_0(c_3(c_3(c_3(c_1(c_3(c_3(c_1(c_3(c_3(c_3(c_2(c_2(c_0(x1)))))))))))))))))) -> 1(3(3(3(1(1(0(2(3(3(3(3(3(2(0(3(2(3(x1))))))))))))))))))
   3(c_0(c_3(c_0(c_3(c_2(c_2(c_3(c_2(c_1(c_0(c_2(c_3(c_1(c_2(c_3(c_3(c_0(x1)))))))))))))))))) -> 3(1(2(1(2(3(2(0(2(3(2(0(0(3(3(3(3(0(x1))))))))))))))))))
   3(c_1(c_1(c_0(c_1(c_0(c_3(c_1(c_1(c_2(c_1(c_3(c_0(c_3(c_3(c_1(c_0(c_3(x1)))))))))))))))))) -> 3(1(1(1(3(1(1(1(0(3(0(0(1(2(3(3(0(3(x1))))))))))))))))))
   0(c_2(c_2(c_2(c_2(c_2(c_1(c_3(c_1(c_0(c_1(c_2(c_3(c_2(c_0(c_1(c_1(c_2(x1)))))))))))))))))) -> 2(1(2(1(2(3(2(1(2(1(2(0(0(2(0(1(3(2(x1))))))))))))))))))
   0(c_0(c_2(c_1(c_0(c_0(c_1(c_0(c_1(c_0(c_3(c_1(c_3(c_3(c_2(c_0(c_1(c_1(x1)))))))))))))))))) -> 3(0(0(2(0(1(1(0(2(0(3(1(0(1(0(3(1(1(x1))))))))))))))))))
   0(c_0(c_0(c_1(c_3(c_2(c_2(c_3(c_0(c_2(c_2(c_0(c_1(c_0(c_0(c_0(c_1(c_2(x1)))))))))))))))))) -> 0(3(0(0(3(0(2(1(2(1(0(0(1(2(0(2(0(2(x1))))))))))))))))))
   0(c_2(c_2(c_1(c_3(c_0(c_0(c_1(c_3(c_0(c_1(c_0(c_3(c_3(c_2(c_0(c_1(c_3(x1)))))))))))))))))) -> 3(0(1(3(3(0(0(0(0(2(1(2(0(3(1(2(1(3(x1))))))))))))))))))
   1(c_3(c_3(c_1(c_1(c_3(c_0(c_2(c_0(c_1(c_3(c_1(c_3(c_0(c_3(c_2(c_2(c_1(x1)))))))))))))))))) -> 1(3(3(3(0(1(1(2(0(3(1(1(2(3(3(0(2(1(x1))))))))))))))))))
   0(c_2(c_3(c_1(c_3(c_3(c_1(c_3(c_2(c_3(c_2(c_2(c_1(c_0(c_1(c_1(c_1(c_1(x1)))))))))))))))))) -> 1(0(3(3(3(3(1(1(2(2(3(1(2(1(2(0(1(1(x1))))))))))))))))))
   1(c_0(c_0(c_0(c_1(c_3(c_2(c_2(c_2(c_2(c_2(c_3(c_1(c_3(c_1(c_1(c_1(c_1(x1)))))))))))))))))) -> 1(2(1(1(3(2(0(1(0(2(1(0(2(3(1(2(3(1(x1))))))))))))))))))
   3(c_0(c_1(c_0(c_0(c_2(c_1(c_0(c_1(c_3(c_2(c_1(c_1(c_3(c_3(c_0(c_1(c_1(x1)))))))))))))))))) -> 3(0(0(2(3(1(1(1(0(1(3(0(1(0(3(2(1(1(x1))))))))))))))))))
   3(c_2(c_3(c_2(c_2(c_2(c_0(c_2(c_3(c_0(c_1(c_2(c_3(c_0(c_1(c_1(c_0(c_2(x1)))))))))))))))))) -> 3(2(2(3(3(0(3(1(2(2(0(1(0(0(2(2(1(2(x1))))))))))))))))))
   1(c_1(c_0(c_0(c_3(c_2(c_2(c_2(c_2(c_0(c_3(c_2(c_2(c_0(c_0(c_1(c_0(c_0(x1)))))))))))))))))) -> 1(3(3(0(0(2(0(1(2(2(2(0(2(1(0(2(0(0(x1))))))))))))))))))
   3(c_0(c_1(c_0(c_0(c_0(c_0(c_3(c_3(c_2(c_0(c_0(c_1(c_0(c_0(c_2(c_2(c_2(x1)))))))))))))))))) -> 0(2(0(3(0(0(2(0(3(3(0(0(0(2(1(0(1(2(x1))))))))))))))))))
   1(c_0(c_1(c_0(c_1(c_3(c_0(c_2(c_3(c_0(c_1(c_3(c_3(c_2(c_1(c_0(c_1(c_3(x1)))))))))))))))))) -> 1(3(3(2(1(2(0(1(3(1(3(0(0(0(1(0(1(3(x1))))))))))))))))))
   0(c_1(c_1(c_0(c_0(c_2(c_2(c_0(c_3(c_2(c_1(c_0(c_3(c_1(c_1(c_0(c_2(c_2(x1)))))))))))))))))) -> 0(0(0(2(1(2(0(1(1(2(1(0(3(3(1(0(2(2(x1))))))))))))))))))
   0(c_1(c_0(c_1(c_0(c_3(c_0(c_1(c_3(c_1(c_3(c_0(c_1(c_0(c_1(c_3(c_2(c_1(x1)))))))))))))))))) -> 0(1(2(0(3(1(0(0(1(1(0(1(3(1(0(3(3(1(x1))))))))))))))))))
   2(c_1(c_3(c_3(c_2(c_1(c_2(c_3(c_1(c_3(c_3(c_1(c_2(c_1(c_2(c_2(c_0(c_3(x1)))))))))))))))))) -> 2(2(1(1(1(2(2(2(1(2(1(0(3(3(3(3(3(3(x1))))))))))))))))))
   0(c_2(c_2(c_2(c_3(c_3(c_0(c_1(c_3(c_1(c_1(c_1(c_0(c_1(c_3(c_2(c_0(c_2(x1)))))))))))))))))) -> 2(1(1(0(3(3(0(1(3(1(2(3(2(0(1(2(0(2(x1))))))))))))))))))
   1(c_0(c_1(c_1(c_3(c_2(c_1(c_1(c_0(c_0(c_0(c_1(c_3(c_0(c_0(c_0(c_1(c_0(x1)))))))))))))))))) -> 1(3(1(1(1(0(1(3(0(0(0(0(1(1(0(0(2(0(x1))))))))))))))))))
   1(c_0(c_2(c_3(c_0(c_1(c_0(c_2(c_0(c_1(c_0(c_3(c_1(c_2(c_2(c_2(c_3(c_1(x1)))))))))))))))))) -> 1(0(3(0(0(0(2(2(3(3(1(2(0(1(2(1(2(1(x1))))))))))))))))))
   1(c_2(c_2(c_1(c_2(c_2(c_1(c_0(c_1(c_2(c_1(c_1(c_0(c_2(c_3(c_2(c_2(c_0(x1)))))))))))))))))) -> 1(2(1(2(2(1(2(1(0(1(2(2(0(2(3(1(2(0(x1))))))))))))))))))
   0(c_0(c_1(c_3(c_2(c_1(c_0(c_1(c_2(c_2(c_1(c_1(c_1(c_1(c_2(c_3(c_2(c_2(x1)))))))))))))))))) -> 0(1(1(1(2(1(2(1(3(2(3(0(1(2(0(1(2(2(x1))))))))))))))))))
   0(c_2(c_2(c_0(c_3(c_1(c_3(c_1(c_3(c_3(c_1(c_2(c_1(c_0(c_0(c_2(c_0(c_1(x1)))))))))))))))))) -> 0(2(0(1(1(2(3(3(1(1(3(0(2(0(2(0(3(1(x1))))))))))))))))))
   3(c_0(c_0(c_1(c_3(c_1(c_0(c_2(c_3(c_3(c_1(c_3(c_3(c_3(c_3(c_2(c_1(c_0(x1)))))))))))))))))) -> 3(0(3(1(1(2(2(1(3(0(3(3(0(3(3(3(1(0(x1))))))))))))))))))
   0(c_2(c_3(c_1(c_3(c_2(c_3(c_1(c_1(c_0(c_2(c_3(c_2(c_1(c_0(c_0(c_1(c_2(x1)))))))))))))))))) -> 0(2(3(3(2(3(2(0(1(2(0(1(1(1(0(3(1(2(x1))))))))))))))))))
   1(c_1(c_1(c_0(c_1(c_1(c_3(c_2(c_3(c_0(c_0(c_3(c_3(c_3(c_2(c_2(c_2(c_1(x1)))))))))))))))))) -> 1(0(3(0(0(3(3(1(2(3(1(2(1(1(2(3(1(2(x1))))))))))))))))))
   1(c_1(c_3(c_3(c_2(c_1(c_1(c_1(c_3(c_3(c_1(c_1(c_0(c_2(c_0(c_2(c_1(c_2(x1)))))))))))))))))) -> 1(1(2(3(1(3(0(1(1(1(2(3(0(2(3(1(1(2(x1))))))))))))))))))
   0(c_2(c_3(c_2(c_1(c_1(c_3(c_3(c_1(c_3(c_0(c_1(c_0(c_1(c_1(c_3(c_2(c_1(x1)))))))))))))))))) -> 0(2(3(1(2(1(1(1(2(0(3(3(3(3(0(1(1(1(x1))))))))))))))))))
   0(c_0(c_1(c_1(c_3(c_2(c_3(c_2(c_3(c_2(c_0(c_0(c_2(c_3(c_2(c_3(c_1(c_0(x1)))))))))))))))))) -> 2(3(0(2(1(2(3(1(2(3(0(3(3(1(0(2(0(0(x1))))))))))))))))))
   3(c_2(c_2(c_1(c_3(c_1(c_2(c_2(c_3(c_3(c_0(c_2(c_1(c_0(c_1(c_3(c_2(c_1(x1)))))))))))))))))) -> 3(2(3(1(1(2(3(0(2(1(3(1(1(2(3(0(2(2(x1))))))))))))))))))
   2(c_1(c_0(c_2(c_1(c_0(c_0(c_1(c_1(c_2(c_2(c_2(c_2(c_2(c_2(c_2(c_2(c_1(x1)))))))))))))))))) -> 2(0(0(1(2(2(2(1(2(2(2(0(1(2(1(2(2(1(x1))))))))))))))))))
   3(c_2(c_2(c_2(c_2(c_2(c_1(c_0(c_0(c_1(c_3(c_2(c_3(c_1(c_3(c_3(c_2(c_1(x1)))))))))))))))))) -> 3(2(3(1(0(2(2(2(1(3(3(2(1(0(2(2(3(1(x1))))))))))))))))))
   3(c_1(c_2(c_2(c_3(c_1(c_0(c_1(c_1(c_1(c_1(c_3(c_2(c_1(c_1(c_1(c_3(c_1(x1)))))))))))))))))) -> 3(1(1(2(2(3(1(1(0(1(2(1(1(3(1(1(3(1(x1))))))))))))))))))
   3(c_3(c_1(c_3(c_3(c_2(c_1(c_3(c_2(c_3(c_3(c_2(c_3(c_1(c_3(c_2(c_3(c_1(x1)))))))))))))))))) -> 3(1(3(1(2(2(3(3(3(3(3(3(3(2(2(1(3(1(x1))))))))))))))))))
   3(c_0(c_0(c_1(c_3(c_2(c_2(c_1(c_3(c_3(c_0(c_1(c_2(c_1(c_0(c_3(c_1(c_2(x1)))))))))))))))))) -> 3(0(1(1(3(3(0(2(3(1(2(1(3(0(2(0(1(2(x1))))))))))))))))))
   0(c_0(c_2(c_0(c_3(c_2(c_2(c_3(c_3(c_1(c_3(c_2(c_1(c_1(c_3(c_0(c_0(c_1(x1)))))))))))))))))) -> 0(0(3(1(1(0(3(2(2(0(2(3(3(1(2(3(0(1(x1))))))))))))))))))
   0(c_3(c_1(c_0(c_0(c_3(c_0(c_0(c_1(c_0(c_3(c_2(c_1(c_3(c_0(c_0(c_1(c_2(x1)))))))))))))))))) -> 0(0(3(1(1(3(1(0(0(2(1(0(3(0(0(0(3(2(x1))))))))))))))))))
   0(c_3(c_0(c_1(c_3(c_1(c_3(c_2(c_0(c_1(c_0(c_1(c_0(c_0(c_3(c_1(c_1(c_3(x1)))))))))))))))))) -> 0(3(2(0(3(1(3(1(1(0(3(0(0(1(0(1(1(3(x1))))))))))))))))))
   3(c_2(c_1(c_0(c_1(c_0(c_1(c_3(c_0(c_1(c_2(c_3(c_0(c_0(c_1(c_3(c_0(c_1(x1)))))))))))))))))) -> 3(0(0(3(0(3(3(0(0(1(1(0(1(2(1(2(1(1(x1))))))))))))))))))
   0(c_0(c_3(c_3(c_1(c_3(c_3(c_0(c_1(c_3(c_2(c_3(c_3(c_3(c_0(c_3(c_3(c_3(x1)))))))))))))))))) -> 0(3(0(3(3(1(3(0(3(3(3(1(3(0(3(2(3(3(x1))))))))))))))))))
   3(c_0(c_1(c_0(c_2(c_1(c_0(c_0(c_0(c_0(c_1(c_1(c_3(c_2(c_2(c_3(c_0(c_1(x1)))))))))))))))))) -> 3(0(0(3(0(3(2(1(1(0(0(0(2(1(1(1(0(2(x1))))))))))))))))))
   3(c_3(c_2(c_2(c_3(c_0(c_1(c_3(c_3(c_3(c_0(c_0(c_0(c_2(c_0(c_2(c_3(c_0(x1)))))))))))))))))) -> 3(3(3(0(3(2(0(2(3(0(2(2(0(1(3(0(3(0(x1))))))))))))))))))
   3(c_2(c_0(c_1(c_2(c_3(c_2(c_2(c_1(c_3(c_0(c_3(c_3(c_1(c_3(c_3(c_2(c_2(x1)))))))))))))))))) -> 3(2(0(1(2(0(1(3(3(2(3(3(3(3(1(2(2(2(x1))))))))))))))))))
   2(c_3(c_0(c_1(c_0(c_0(c_3(c_1(c_0(c_3(c_2(c_3(c_2(c_2(c_2(c_3(c_3(c_2(x1)))))))))))))))))) -> 2(3(2(3(0(0(2(2(2(1(1(0(3(2(0(3(3(3(x1))))))))))))))))))
   1(c_0(c_3(c_0(c_2(c_0(c_3(c_0(c_1(c_1(c_2(c_3(c_0(c_1(c_3(c_2(c_0(c_3(x1)))))))))))))))))) -> 1(0(2(1(0(1(0(2(0(3(3(3(1(2(0(0(3(3(x1))))))))))))))))))
   2(c_2(c_3(c_1(c_0(c_3(c_2(c_2(c_2(c_2(c_3(c_1(c_3(c_3(c_0(c_2(c_3(c_2(x1)))))))))))))))))) -> 2(2(3(0(3(1(2(3(3(3(0(2(1(2(2(3(2(2(x1))))))))))))))))))
   2(c_1(c_1(c_3(c_2(c_0(c_0(c_0(c_2(c_1(c_0(c_2(c_2(c_3(c_2(c_3(c_2(c_0(x1)))))))))))))))))) -> 2(0(0(2(0(2(2(1(2(1(2(3(0(3(2(3(1(0(x1))))))))))))))))))
   0(c_0(c_2(c_0(c_1(c_1(c_2(c_0(c_1(c_0(c_1(c_0(c_1(c_0(c_2(c_3(c_2(c_0(x1)))))))))))))))))) -> 0(0(0(2(2(2(0(3(0(1(1(1(1(1(0(0(2(0(x1))))))))))))))))))
   3(c_1(c_0(c_3(c_2(c_1(c_0(c_3(c_0(c_2(c_3(c_2(c_3(c_0(c_1(c_3(c_3(c_2(x1)))))))))))))))))) -> 3(1(0(3(1(3(3(3(0(2(3(0(3(2(2(0(1(2(x1))))))))))))))))))
   3(c_3(c_1(c_3(c_0(c_2(c_3(c_3(c_3(c_1(c_0(c_0(c_2(c_2(c_0(c_2(c_0(c_1(x1)))))))))))))))))) -> 3(0(0(2(0(0(3(0(3(3(2(1(2(1(2(3(3(1(x1))))))))))))))))))
   1(c_1(c_1(c_0(c_1(c_1(c_2(c_2(c_2(c_1(c_0(c_1(c_1(c_1(c_3(c_3(c_0(c_3(x1)))))))))))))))))) -> 1(2(0(3(1(1(1(0(1(2(1(2(1(1(1(3(0(3(x1))))))))))))))))))
   1(c_0(c_1(c_3(c_2(c_0(c_2(c_1(c_3(c_3(c_2(c_1(c_3(c_2(c_2(c_0(c_1(c_2(x1)))))))))))))))))) -> 1(3(1(2(1(3(3(1(0(0(0(2(1(3(2(2(2(2(x1))))))))))))))))))
   1(c_1(c_3(c_3(c_1(c_0(c_2(c_3(c_2(c_1(c_3(c_2(c_0(c_1(c_1(c_1(c_1(c_1(x1)))))))))))))))))) -> 1(3(1(1(1(1(1(2(1(1(3(0(3(3(0(2(2(1(x1))))))))))))))))))
   0(c_0(c_3(c_1(c_0(c_0(c_2(c_2(c_0(c_0(c_0(c_2(c_2(c_3(c_2(c_2(c_2(c_0(x1)))))))))))))))))) -> 0(0(2(0(2(0(0(2(2(0(2(3(1(3(0(2(2(0(x1))))))))))))))))))
   1(c_3(c_0(c_1(c_3(c_2(c_2(c_2(c_2(c_1(c_0(c_0(c_1(c_2(c_2(c_0(c_0(c_1(x1)))))))))))))))))) -> 1(2(2(1(1(2(1(2(0(0(3(1(2(0(0(0(3(2(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_2(c_0(c_3(c_2(c_1(c_0(x1)))))))))))))))))) -> 3(3(1(0(0(2(1(1(1(2(3(1(1(2(0(0(3(0(x1))))))))))))))))))
   1(c_3(c_1(c_2(c_2(c_2(c_1(c_3(c_3(c_0(c_1(c_1(c_0(c_0(c_2(c_2(c_3(c_2(x1)))))))))))))))))) -> 1(2(2(3(0(2(3(0(3(2(3(1(1(0(1(2(1(2(x1))))))))))))))))))
   3(c_2(c_2(c_2(c_2(c_3(c_3(c_1(c_3(c_1(c_1(c_3(c_3(c_1(c_2(c_2(c_3(c_2(x1)))))))))))))))))) -> 3(2(3(2(3(1(2(3(1(2(3(3(2(3(2(1(1(2(x1))))))))))))))))))

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

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

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

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

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


The TRS R consists of the following rules:

   3(c_3(c_1(c_2(c_1(c_3(c_2(c_2(c_1(c_2(c_1(c_2(c_2(c_0(c_3(c_2(c_1(c_0(x1)))))))))))))))))) -> 3(0(2(1(2(1(2(2(3(1(2(0(2(1(1(2(3(3(x1)))))))))))))))))) [1]
   3(c_3(c_0(c_2(c_0(c_1(c_3(c_1(c_0(c_2(c_2(c_2(c_2(c_0(c_3(c_3(c_1(c_0(x1)))))))))))))))))) -> 3(3(2(0(3(1(0(2(1(2(3(0(1(0(2(3(2(0(x1)))))))))))))))))) [1]
   0(c_2(c_3(c_3(c_2(c_1(c_3(c_0(c_1(c_3(c_1(c_3(c_3(c_0(c_2(c_1(c_0(c_1(x1)))))))))))))))))) -> 0(2(3(3(0(3(1(0(2(3(1(0(3(3(2(1(1(1(x1)))))))))))))))))) [1]
   2(c_0(c_2(c_2(c_3(c_2(c_0(c_2(c_0(c_1(c_1(c_3(c_1(c_3(c_3(c_3(c_2(c_0(x1)))))))))))))))))) -> 2(3(1(2(1(2(0(2(2(1(0(0(3(3(2(0(3(3(x1)))))))))))))))))) [1]
   2(c_1(c_0(c_0(c_2(c_2(c_2(c_0(c_1(c_3(c_1(c_3(c_2(c_3(c_2(c_1(c_1(c_2(x1)))))))))))))))))) -> 2(2(0(0(3(0(2(2(1(2(3(1(2(3(1(1(1(2(x1)))))))))))))))))) [1]
   0(c_3(c_1(c_0(c_2(c_2(c_1(c_0(c_1(c_1(c_0(c_0(c_3(c_1(c_2(c_2(c_3(c_0(x1)))))))))))))))))) -> 0(3(1(1(0(3(2(0(2(1(2(2(0(3(1(1(0(0(x1)))))))))))))))))) [1]
   0(c_1(c_0(c_3(c_2(c_2(c_3(c_2(c_0(c_1(c_1(c_1(c_1(c_0(c_1(c_0(c_1(c_1(x1)))))))))))))))))) -> 1(2(3(1(1(0(0(1(1(3(0(0(2(0(2(1(1(1(x1)))))))))))))))))) [1]
   0(c_2(c_0(c_2(c_2(c_1(c_1(c_0(c_2(c_0(c_0(c_0(c_1(c_0(c_3(c_0(c_2(c_0(x1)))))))))))))))))) -> 0(2(1(1(1(0(2(0(2(0(0(0(0(3(2(0(2(0(x1)))))))))))))))))) [1]
   1(c_0(c_0(c_0(c_3(c_0(c_2(c_3(c_1(c_2(c_3(c_1(c_1(c_2(c_2(c_2(c_2(c_3(x1)))))))))))))))))) -> 1(3(0(2(1(2(0(1(2(0(0(2(2(1(3(3(2(3(x1)))))))))))))))))) [1]
   0(c_0(c_2(c_0(c_0(c_0(c_1(c_1(c_0(c_2(c_2(c_3(c_3(c_0(c_0(c_3(c_0(c_2(x1)))))))))))))))))) -> 0(2(0(0(3(1(1(2(3(0(2(0(0(3(0(0(0(2(x1)))))))))))))))))) [1]
   3(c_1(c_0(c_2(c_1(c_0(c_1(c_0(c_1(c_0(c_2(c_2(c_0(c_2(c_3(c_3(c_2(c_2(x1)))))))))))))))))) -> 0(3(0(0(0(2(3(2(1(3(0(2(2(1(1(1(2(2(x1)))))))))))))))))) [1]
   3(c_0(c_1(c_0(c_2(c_3(c_2(c_0(c_1(c_0(c_1(c_2(c_3(c_1(c_2(c_0(c_1(c_2(x1)))))))))))))))))) -> 3(0(1(1(1(1(2(2(3(0(1(2(0(3(0(2(0(2(x1)))))))))))))))))) [1]
   3(c_2(c_0(c_3(c_0(c_1(c_1(c_0(c_2(c_3(c_0(c_3(c_0(c_0(c_1(c_0(c_2(c_0(x1)))))))))))))))))) -> 3(2(0(0(1(1(1(0(0(3(3(2(3(0(0(0(2(0(x1)))))))))))))))))) [1]
   1(c_3(c_1(c_3(c_2(c_2(c_0(c_0(c_0(c_0(c_1(c_3(c_2(c_0(c_1(c_3(c_3(c_0(x1)))))))))))))))))) -> 1(2(0(0(0(0(0(3(1(3(3(3(2(1(2(3(1(0(x1)))))))))))))))))) [1]
   0(c_0(c_3(c_2(c_0(c_0(c_1(c_0(c_1(c_3(c_2(c_3(c_2(c_2(c_2(c_0(c_1(c_1(x1)))))))))))))))))) -> 2(0(0(1(3(1(2(1(2(0(3(2(0(0(3(0(1(2(x1)))))))))))))))))) [1]
   1(c_1(c_2(c_0(c_2(c_2(c_1(c_2(c_3(c_2(c_3(c_1(c_0(c_0(c_1(c_3(c_0(c_2(x1)))))))))))))))))) -> 1(2(2(1(1(2(0(3(1(0(3(1(0(2(2(3(0(2(x1)))))))))))))))))) [1]
   2(c_0(c_2(c_0(c_0(c_1(c_1(c_1(c_3(c_1(c_1(c_3(c_2(c_3(c_1(c_3(c_2(c_3(x1)))))))))))))))))) -> 2(0(1(1(1(0(3(1(2(1(0(1(2(3(3(3(2(3(x1)))))))))))))))))) [1]
   1(c_0(c_3(c_2(c_3(c_2(c_2(c_0(c_3(c_2(c_2(c_1(c_1(c_0(c_3(c_2(c_3(c_3(x1)))))))))))))))))) -> 1(2(3(0(2(2(3(0(2(3(2(1(3(1(2(0(3(3(x1)))))))))))))))))) [1]
   3(c_2(c_2(c_0(c_2(c_3(c_0(c_1(c_0(c_3(c_1(c_3(c_3(c_1(c_3(c_1(c_2(c_3(x1)))))))))))))))))) -> 3(2(0(3(1(2(0(3(3(1(1(1(0(2(3(2(3(3(x1)))))))))))))))))) [1]
   1(c_1(c_0(c_1(c_1(c_3(c_2(c_0(c_2(c_1(c_2(c_2(c_1(c_2(c_3(c_1(c_1(c_1(x1)))))))))))))))))) -> 1(1(0(3(2(3(1(2(1(2(0(2(2(1(1(1(1(1(x1)))))))))))))))))) [1]
   2(c_3(c_1(c_0(c_0(c_3(c_1(c_0(c_1(c_3(c_0(c_1(c_2(c_2(c_2(c_2(c_0(c_2(x1)))))))))))))))))) -> 2(0(2(0(0(1(1(2(3(1(1(0(2(3(2(3(0(2(x1)))))))))))))))))) [1]
   1(c_3(c_2(c_3(c_0(c_3(c_3(c_3(c_1(c_3(c_3(c_1(c_3(c_3(c_3(c_2(c_2(c_0(x1)))))))))))))))))) -> 1(3(3(3(1(1(0(2(3(3(3(3(3(2(0(3(2(3(x1)))))))))))))))))) [1]
   3(c_0(c_3(c_0(c_3(c_2(c_2(c_3(c_2(c_1(c_0(c_2(c_3(c_1(c_2(c_3(c_3(c_0(x1)))))))))))))))))) -> 3(1(2(1(2(3(2(0(2(3(2(0(0(3(3(3(3(0(x1)))))))))))))))))) [1]
   3(c_1(c_1(c_0(c_1(c_0(c_3(c_1(c_1(c_2(c_1(c_3(c_0(c_3(c_3(c_1(c_0(c_3(x1)))))))))))))))))) -> 3(1(1(1(3(1(1(1(0(3(0(0(1(2(3(3(0(3(x1)))))))))))))))))) [1]
   0(c_2(c_2(c_2(c_2(c_2(c_1(c_3(c_1(c_0(c_1(c_2(c_3(c_2(c_0(c_1(c_1(c_2(x1)))))))))))))))))) -> 2(1(2(1(2(3(2(1(2(1(2(0(0(2(0(1(3(2(x1)))))))))))))))))) [1]
   0(c_0(c_2(c_1(c_0(c_0(c_1(c_0(c_1(c_0(c_3(c_1(c_3(c_3(c_2(c_0(c_1(c_1(x1)))))))))))))))))) -> 3(0(0(2(0(1(1(0(2(0(3(1(0(1(0(3(1(1(x1)))))))))))))))))) [1]
   0(c_0(c_0(c_1(c_3(c_2(c_2(c_3(c_0(c_2(c_2(c_0(c_1(c_0(c_0(c_0(c_1(c_2(x1)))))))))))))))))) -> 0(3(0(0(3(0(2(1(2(1(0(0(1(2(0(2(0(2(x1)))))))))))))))))) [1]
   0(c_2(c_2(c_1(c_3(c_0(c_0(c_1(c_3(c_0(c_1(c_0(c_3(c_3(c_2(c_0(c_1(c_3(x1)))))))))))))))))) -> 3(0(1(3(3(0(0(0(0(2(1(2(0(3(1(2(1(3(x1)))))))))))))))))) [1]
   1(c_3(c_3(c_1(c_1(c_3(c_0(c_2(c_0(c_1(c_3(c_1(c_3(c_0(c_3(c_2(c_2(c_1(x1)))))))))))))))))) -> 1(3(3(3(0(1(1(2(0(3(1(1(2(3(3(0(2(1(x1)))))))))))))))))) [1]
   0(c_2(c_3(c_1(c_3(c_3(c_1(c_3(c_2(c_3(c_2(c_2(c_1(c_0(c_1(c_1(c_1(c_1(x1)))))))))))))))))) -> 1(0(3(3(3(3(1(1(2(2(3(1(2(1(2(0(1(1(x1)))))))))))))))))) [1]
   1(c_0(c_0(c_0(c_1(c_3(c_2(c_2(c_2(c_2(c_2(c_3(c_1(c_3(c_1(c_1(c_1(c_1(x1)))))))))))))))))) -> 1(2(1(1(3(2(0(1(0(2(1(0(2(3(1(2(3(1(x1)))))))))))))))))) [1]
   3(c_0(c_1(c_0(c_0(c_2(c_1(c_0(c_1(c_3(c_2(c_1(c_1(c_3(c_3(c_0(c_1(c_1(x1)))))))))))))))))) -> 3(0(0(2(3(1(1(1(0(1(3(0(1(0(3(2(1(1(x1)))))))))))))))))) [1]
   3(c_2(c_3(c_2(c_2(c_2(c_0(c_2(c_3(c_0(c_1(c_2(c_3(c_0(c_1(c_1(c_0(c_2(x1)))))))))))))))))) -> 3(2(2(3(3(0(3(1(2(2(0(1(0(0(2(2(1(2(x1)))))))))))))))))) [1]
   1(c_1(c_0(c_0(c_3(c_2(c_2(c_2(c_2(c_0(c_3(c_2(c_2(c_0(c_0(c_1(c_0(c_0(x1)))))))))))))))))) -> 1(3(3(0(0(2(0(1(2(2(2(0(2(1(0(2(0(0(x1)))))))))))))))))) [1]
   3(c_0(c_1(c_0(c_0(c_0(c_0(c_3(c_3(c_2(c_0(c_0(c_1(c_0(c_0(c_2(c_2(c_2(x1)))))))))))))))))) -> 0(2(0(3(0(0(2(0(3(3(0(0(0(2(1(0(1(2(x1)))))))))))))))))) [1]
   1(c_0(c_1(c_0(c_1(c_3(c_0(c_2(c_3(c_0(c_1(c_3(c_3(c_2(c_1(c_0(c_1(c_3(x1)))))))))))))))))) -> 1(3(3(2(1(2(0(1(3(1(3(0(0(0(1(0(1(3(x1)))))))))))))))))) [1]
   0(c_1(c_1(c_0(c_0(c_2(c_2(c_0(c_3(c_2(c_1(c_0(c_3(c_1(c_1(c_0(c_2(c_2(x1)))))))))))))))))) -> 0(0(0(2(1(2(0(1(1(2(1(0(3(3(1(0(2(2(x1)))))))))))))))))) [1]
   0(c_1(c_0(c_1(c_0(c_3(c_0(c_1(c_3(c_1(c_3(c_0(c_1(c_0(c_1(c_3(c_2(c_1(x1)))))))))))))))))) -> 0(1(2(0(3(1(0(0(1(1(0(1(3(1(0(3(3(1(x1)))))))))))))))))) [1]
   2(c_1(c_3(c_3(c_2(c_1(c_2(c_3(c_1(c_3(c_3(c_1(c_2(c_1(c_2(c_2(c_0(c_3(x1)))))))))))))))))) -> 2(2(1(1(1(2(2(2(1(2(1(0(3(3(3(3(3(3(x1)))))))))))))))))) [1]
   0(c_2(c_2(c_2(c_3(c_3(c_0(c_1(c_3(c_1(c_1(c_1(c_0(c_1(c_3(c_2(c_0(c_2(x1)))))))))))))))))) -> 2(1(1(0(3(3(0(1(3(1(2(3(2(0(1(2(0(2(x1)))))))))))))))))) [1]
   1(c_0(c_1(c_1(c_3(c_2(c_1(c_1(c_0(c_0(c_0(c_1(c_3(c_0(c_0(c_0(c_1(c_0(x1)))))))))))))))))) -> 1(3(1(1(1(0(1(3(0(0(0(0(1(1(0(0(2(0(x1)))))))))))))))))) [1]
   1(c_0(c_2(c_3(c_0(c_1(c_0(c_2(c_0(c_1(c_0(c_3(c_1(c_2(c_2(c_2(c_3(c_1(x1)))))))))))))))))) -> 1(0(3(0(0(0(2(2(3(3(1(2(0(1(2(1(2(1(x1)))))))))))))))))) [1]
   1(c_2(c_2(c_1(c_2(c_2(c_1(c_0(c_1(c_2(c_1(c_1(c_0(c_2(c_3(c_2(c_2(c_0(x1)))))))))))))))))) -> 1(2(1(2(2(1(2(1(0(1(2(2(0(2(3(1(2(0(x1)))))))))))))))))) [1]
   0(c_0(c_1(c_3(c_2(c_1(c_0(c_1(c_2(c_2(c_1(c_1(c_1(c_1(c_2(c_3(c_2(c_2(x1)))))))))))))))))) -> 0(1(1(1(2(1(2(1(3(2(3(0(1(2(0(1(2(2(x1)))))))))))))))))) [1]
   0(c_2(c_2(c_0(c_3(c_1(c_3(c_1(c_3(c_3(c_1(c_2(c_1(c_0(c_0(c_2(c_0(c_1(x1)))))))))))))))))) -> 0(2(0(1(1(2(3(3(1(1(3(0(2(0(2(0(3(1(x1)))))))))))))))))) [1]
   3(c_0(c_0(c_1(c_3(c_1(c_0(c_2(c_3(c_3(c_1(c_3(c_3(c_3(c_3(c_2(c_1(c_0(x1)))))))))))))))))) -> 3(0(3(1(1(2(2(1(3(0(3(3(0(3(3(3(1(0(x1)))))))))))))))))) [1]
   0(c_2(c_3(c_1(c_3(c_2(c_3(c_1(c_1(c_0(c_2(c_3(c_2(c_1(c_0(c_0(c_1(c_2(x1)))))))))))))))))) -> 0(2(3(3(2(3(2(0(1(2(0(1(1(1(0(3(1(2(x1)))))))))))))))))) [1]
   1(c_1(c_1(c_0(c_1(c_1(c_3(c_2(c_3(c_0(c_0(c_3(c_3(c_3(c_2(c_2(c_2(c_1(x1)))))))))))))))))) -> 1(0(3(0(0(3(3(1(2(3(1(2(1(1(2(3(1(2(x1)))))))))))))))))) [1]
   1(c_1(c_3(c_3(c_2(c_1(c_1(c_1(c_3(c_3(c_1(c_1(c_0(c_2(c_0(c_2(c_1(c_2(x1)))))))))))))))))) -> 1(1(2(3(1(3(0(1(1(1(2(3(0(2(3(1(1(2(x1)))))))))))))))))) [1]
   0(c_2(c_3(c_2(c_1(c_1(c_3(c_3(c_1(c_3(c_0(c_1(c_0(c_1(c_1(c_3(c_2(c_1(x1)))))))))))))))))) -> 0(2(3(1(2(1(1(1(2(0(3(3(3(3(0(1(1(1(x1)))))))))))))))))) [1]
   0(c_0(c_1(c_1(c_3(c_2(c_3(c_2(c_3(c_2(c_0(c_0(c_2(c_3(c_2(c_3(c_1(c_0(x1)))))))))))))))))) -> 2(3(0(2(1(2(3(1(2(3(0(3(3(1(0(2(0(0(x1)))))))))))))))))) [1]
   3(c_2(c_2(c_1(c_3(c_1(c_2(c_2(c_3(c_3(c_0(c_2(c_1(c_0(c_1(c_3(c_2(c_1(x1)))))))))))))))))) -> 3(2(3(1(1(2(3(0(2(1(3(1(1(2(3(0(2(2(x1)))))))))))))))))) [1]
   2(c_1(c_0(c_2(c_1(c_0(c_0(c_1(c_1(c_2(c_2(c_2(c_2(c_2(c_2(c_2(c_2(c_1(x1)))))))))))))))))) -> 2(0(0(1(2(2(2(1(2(2(2(0(1(2(1(2(2(1(x1)))))))))))))))))) [1]
   3(c_2(c_2(c_2(c_2(c_2(c_1(c_0(c_0(c_1(c_3(c_2(c_3(c_1(c_3(c_3(c_2(c_1(x1)))))))))))))))))) -> 3(2(3(1(0(2(2(2(1(3(3(2(1(0(2(2(3(1(x1)))))))))))))))))) [1]
   3(c_1(c_2(c_2(c_3(c_1(c_0(c_1(c_1(c_1(c_1(c_3(c_2(c_1(c_1(c_1(c_3(c_1(x1)))))))))))))))))) -> 3(1(1(2(2(3(1(1(0(1(2(1(1(3(1(1(3(1(x1)))))))))))))))))) [1]
   3(c_3(c_1(c_3(c_3(c_2(c_1(c_3(c_2(c_3(c_3(c_2(c_3(c_1(c_3(c_2(c_3(c_1(x1)))))))))))))))))) -> 3(1(3(1(2(2(3(3(3(3(3(3(3(2(2(1(3(1(x1)))))))))))))))))) [1]
   3(c_0(c_0(c_1(c_3(c_2(c_2(c_1(c_3(c_3(c_0(c_1(c_2(c_1(c_0(c_3(c_1(c_2(x1)))))))))))))))))) -> 3(0(1(1(3(3(0(2(3(1(2(1(3(0(2(0(1(2(x1)))))))))))))))))) [1]
   0(c_0(c_2(c_0(c_3(c_2(c_2(c_3(c_3(c_1(c_3(c_2(c_1(c_1(c_3(c_0(c_0(c_1(x1)))))))))))))))))) -> 0(0(3(1(1(0(3(2(2(0(2(3(3(1(2(3(0(1(x1)))))))))))))))))) [1]
   0(c_3(c_1(c_0(c_0(c_3(c_0(c_0(c_1(c_0(c_3(c_2(c_1(c_3(c_0(c_0(c_1(c_2(x1)))))))))))))))))) -> 0(0(3(1(1(3(1(0(0(2(1(0(3(0(0(0(3(2(x1)))))))))))))))))) [1]
   0(c_3(c_0(c_1(c_3(c_1(c_3(c_2(c_0(c_1(c_0(c_1(c_0(c_0(c_3(c_1(c_1(c_3(x1)))))))))))))))))) -> 0(3(2(0(3(1(3(1(1(0(3(0(0(1(0(1(1(3(x1)))))))))))))))))) [1]
   3(c_2(c_1(c_0(c_1(c_0(c_1(c_3(c_0(c_1(c_2(c_3(c_0(c_0(c_1(c_3(c_0(c_1(x1)))))))))))))))))) -> 3(0(0(3(0(3(3(0(0(1(1(0(1(2(1(2(1(1(x1)))))))))))))))))) [1]
   0(c_0(c_3(c_3(c_1(c_3(c_3(c_0(c_1(c_3(c_2(c_3(c_3(c_3(c_0(c_3(c_3(c_3(x1)))))))))))))))))) -> 0(3(0(3(3(1(3(0(3(3(3(1(3(0(3(2(3(3(x1)))))))))))))))))) [1]
   3(c_0(c_1(c_0(c_2(c_1(c_0(c_0(c_0(c_0(c_1(c_1(c_3(c_2(c_2(c_3(c_0(c_1(x1)))))))))))))))))) -> 3(0(0(3(0(3(2(1(1(0(0(0(2(1(1(1(0(2(x1)))))))))))))))))) [1]
   3(c_3(c_2(c_2(c_3(c_0(c_1(c_3(c_3(c_3(c_0(c_0(c_0(c_2(c_0(c_2(c_3(c_0(x1)))))))))))))))))) -> 3(3(3(0(3(2(0(2(3(0(2(2(0(1(3(0(3(0(x1)))))))))))))))))) [1]
   3(c_2(c_0(c_1(c_2(c_3(c_2(c_2(c_1(c_3(c_0(c_3(c_3(c_1(c_3(c_3(c_2(c_2(x1)))))))))))))))))) -> 3(2(0(1(2(0(1(3(3(2(3(3(3(3(1(2(2(2(x1)))))))))))))))))) [1]
   2(c_3(c_0(c_1(c_0(c_0(c_3(c_1(c_0(c_3(c_2(c_3(c_2(c_2(c_2(c_3(c_3(c_2(x1)))))))))))))))))) -> 2(3(2(3(0(0(2(2(2(1(1(0(3(2(0(3(3(3(x1)))))))))))))))))) [1]
   1(c_0(c_3(c_0(c_2(c_0(c_3(c_0(c_1(c_1(c_2(c_3(c_0(c_1(c_3(c_2(c_0(c_3(x1)))))))))))))))))) -> 1(0(2(1(0(1(0(2(0(3(3(3(1(2(0(0(3(3(x1)))))))))))))))))) [1]
   2(c_2(c_3(c_1(c_0(c_3(c_2(c_2(c_2(c_2(c_3(c_1(c_3(c_3(c_0(c_2(c_3(c_2(x1)))))))))))))))))) -> 2(2(3(0(3(1(2(3(3(3(0(2(1(2(2(3(2(2(x1)))))))))))))))))) [1]
   2(c_1(c_1(c_3(c_2(c_0(c_0(c_0(c_2(c_1(c_0(c_2(c_2(c_3(c_2(c_3(c_2(c_0(x1)))))))))))))))))) -> 2(0(0(2(0(2(2(1(2(1(2(3(0(3(2(3(1(0(x1)))))))))))))))))) [1]
   0(c_0(c_2(c_0(c_1(c_1(c_2(c_0(c_1(c_0(c_1(c_0(c_1(c_0(c_2(c_3(c_2(c_0(x1)))))))))))))))))) -> 0(0(0(2(2(2(0(3(0(1(1(1(1(1(0(0(2(0(x1)))))))))))))))))) [1]
   3(c_1(c_0(c_3(c_2(c_1(c_0(c_3(c_0(c_2(c_3(c_2(c_3(c_0(c_1(c_3(c_3(c_2(x1)))))))))))))))))) -> 3(1(0(3(1(3(3(3(0(2(3(0(3(2(2(0(1(2(x1)))))))))))))))))) [1]
   3(c_3(c_1(c_3(c_0(c_2(c_3(c_3(c_3(c_1(c_0(c_0(c_2(c_2(c_0(c_2(c_0(c_1(x1)))))))))))))))))) -> 3(0(0(2(0(0(3(0(3(3(2(1(2(1(2(3(3(1(x1)))))))))))))))))) [1]
   1(c_1(c_1(c_0(c_1(c_1(c_2(c_2(c_2(c_1(c_0(c_1(c_1(c_1(c_3(c_3(c_0(c_3(x1)))))))))))))))))) -> 1(2(0(3(1(1(1(0(1(2(1(2(1(1(1(3(0(3(x1)))))))))))))))))) [1]
   1(c_0(c_1(c_3(c_2(c_0(c_2(c_1(c_3(c_3(c_2(c_1(c_3(c_2(c_2(c_0(c_1(c_2(x1)))))))))))))))))) -> 1(3(1(2(1(3(3(1(0(0(0(2(1(3(2(2(2(2(x1)))))))))))))))))) [1]
   1(c_1(c_3(c_3(c_1(c_0(c_2(c_3(c_2(c_1(c_3(c_2(c_0(c_1(c_1(c_1(c_1(c_1(x1)))))))))))))))))) -> 1(3(1(1(1(1(1(2(1(1(3(0(3(3(0(2(2(1(x1)))))))))))))))))) [1]
   0(c_0(c_3(c_1(c_0(c_0(c_2(c_2(c_0(c_0(c_0(c_2(c_2(c_3(c_2(c_2(c_2(c_0(x1)))))))))))))))))) -> 0(0(2(0(2(0(0(2(2(0(2(3(1(3(0(2(2(0(x1)))))))))))))))))) [1]
   1(c_3(c_0(c_1(c_3(c_2(c_2(c_2(c_2(c_1(c_0(c_0(c_1(c_2(c_2(c_0(c_0(c_1(x1)))))))))))))))))) -> 1(2(2(1(1(2(1(2(0(0(3(1(2(0(0(0(3(2(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_2(c_0(c_3(c_2(c_1(c_0(x1)))))))))))))))))) -> 3(3(1(0(0(2(1(1(1(2(3(1(1(2(0(0(3(0(x1)))))))))))))))))) [1]
   1(c_3(c_1(c_2(c_2(c_2(c_1(c_3(c_3(c_0(c_1(c_1(c_0(c_0(c_2(c_2(c_3(c_2(x1)))))))))))))))))) -> 1(2(2(3(0(2(3(0(3(2(3(1(1(0(1(2(1(2(x1)))))))))))))))))) [1]
   3(c_2(c_2(c_2(c_2(c_3(c_3(c_1(c_3(c_1(c_1(c_3(c_3(c_1(c_2(c_2(c_3(c_2(x1)))))))))))))))))) -> 3(2(3(2(3(1(2(3(1(2(3(3(2(3(2(1(1(2(x1)))))))))))))))))) [1]
   encArg(cons_0(x_1)) -> 0(encArg(x_1)) [0]
   encArg(cons_1(x_1)) -> 1(encArg(x_1)) [0]
   encArg(cons_2(x_1)) -> 2(encArg(x_1)) [0]
   encArg(cons_3(x_1)) -> 3(encArg(x_1)) [0]
   encode_0(x_1) -> 0(encArg(x_1)) [0]
   encode_1(x_1) -> 1(encArg(x_1)) [0]
   encode_3(x_1) -> 3(encArg(x_1)) [0]
   encode_2(x_1) -> 2(encArg(x_1)) [0]
   0(x0) -> c_0(x0) [0]
   1(x0) -> c_1(x0) [0]
   2(x0) -> c_2(x0) [0]
   3(x0) -> c_3(x0) [0]

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

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

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

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

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


The TRS R consists of the following rules:

   3'(c_3(c_1(c_2(c_1(c_3(c_2(c_2(c_1(c_2(c_1(c_2(c_2(c_0(c_3(c_2(c_1(c_0(x1)))))))))))))))))) -> 3'(0'(2'(1'(2'(1'(2'(2'(3'(1'(2'(0'(2'(1'(1'(2'(3'(3'(x1)))))))))))))))))) [1]
   3'(c_3(c_0(c_2(c_0(c_1(c_3(c_1(c_0(c_2(c_2(c_2(c_2(c_0(c_3(c_3(c_1(c_0(x1)))))))))))))))))) -> 3'(3'(2'(0'(3'(1'(0'(2'(1'(2'(3'(0'(1'(0'(2'(3'(2'(0'(x1)))))))))))))))))) [1]
   0'(c_2(c_3(c_3(c_2(c_1(c_3(c_0(c_1(c_3(c_1(c_3(c_3(c_0(c_2(c_1(c_0(c_1(x1)))))))))))))))))) -> 0'(2'(3'(3'(0'(3'(1'(0'(2'(3'(1'(0'(3'(3'(2'(1'(1'(1'(x1)))))))))))))))))) [1]
   2'(c_0(c_2(c_2(c_3(c_2(c_0(c_2(c_0(c_1(c_1(c_3(c_1(c_3(c_3(c_3(c_2(c_0(x1)))))))))))))))))) -> 2'(3'(1'(2'(1'(2'(0'(2'(2'(1'(0'(0'(3'(3'(2'(0'(3'(3'(x1)))))))))))))))))) [1]
   2'(c_1(c_0(c_0(c_2(c_2(c_2(c_0(c_1(c_3(c_1(c_3(c_2(c_3(c_2(c_1(c_1(c_2(x1)))))))))))))))))) -> 2'(2'(0'(0'(3'(0'(2'(2'(1'(2'(3'(1'(2'(3'(1'(1'(1'(2'(x1)))))))))))))))))) [1]
   0'(c_3(c_1(c_0(c_2(c_2(c_1(c_0(c_1(c_1(c_0(c_0(c_3(c_1(c_2(c_2(c_3(c_0(x1)))))))))))))))))) -> 0'(3'(1'(1'(0'(3'(2'(0'(2'(1'(2'(2'(0'(3'(1'(1'(0'(0'(x1)))))))))))))))))) [1]
   0'(c_1(c_0(c_3(c_2(c_2(c_3(c_2(c_0(c_1(c_1(c_1(c_1(c_0(c_1(c_0(c_1(c_1(x1)))))))))))))))))) -> 1'(2'(3'(1'(1'(0'(0'(1'(1'(3'(0'(0'(2'(0'(2'(1'(1'(1'(x1)))))))))))))))))) [1]
   0'(c_2(c_0(c_2(c_2(c_1(c_1(c_0(c_2(c_0(c_0(c_0(c_1(c_0(c_3(c_0(c_2(c_0(x1)))))))))))))))))) -> 0'(2'(1'(1'(1'(0'(2'(0'(2'(0'(0'(0'(0'(3'(2'(0'(2'(0'(x1)))))))))))))))))) [1]
   1'(c_0(c_0(c_0(c_3(c_0(c_2(c_3(c_1(c_2(c_3(c_1(c_1(c_2(c_2(c_2(c_2(c_3(x1)))))))))))))))))) -> 1'(3'(0'(2'(1'(2'(0'(1'(2'(0'(0'(2'(2'(1'(3'(3'(2'(3'(x1)))))))))))))))))) [1]
   0'(c_0(c_2(c_0(c_0(c_0(c_1(c_1(c_0(c_2(c_2(c_3(c_3(c_0(c_0(c_3(c_0(c_2(x1)))))))))))))))))) -> 0'(2'(0'(0'(3'(1'(1'(2'(3'(0'(2'(0'(0'(3'(0'(0'(0'(2'(x1)))))))))))))))))) [1]
   3'(c_1(c_0(c_2(c_1(c_0(c_1(c_0(c_1(c_0(c_2(c_2(c_0(c_2(c_3(c_3(c_2(c_2(x1)))))))))))))))))) -> 0'(3'(0'(0'(0'(2'(3'(2'(1'(3'(0'(2'(2'(1'(1'(1'(2'(2'(x1)))))))))))))))))) [1]
   3'(c_0(c_1(c_0(c_2(c_3(c_2(c_0(c_1(c_0(c_1(c_2(c_3(c_1(c_2(c_0(c_1(c_2(x1)))))))))))))))))) -> 3'(0'(1'(1'(1'(1'(2'(2'(3'(0'(1'(2'(0'(3'(0'(2'(0'(2'(x1)))))))))))))))))) [1]
   3'(c_2(c_0(c_3(c_0(c_1(c_1(c_0(c_2(c_3(c_0(c_3(c_0(c_0(c_1(c_0(c_2(c_0(x1)))))))))))))))))) -> 3'(2'(0'(0'(1'(1'(1'(0'(0'(3'(3'(2'(3'(0'(0'(0'(2'(0'(x1)))))))))))))))))) [1]
   1'(c_3(c_1(c_3(c_2(c_2(c_0(c_0(c_0(c_0(c_1(c_3(c_2(c_0(c_1(c_3(c_3(c_0(x1)))))))))))))))))) -> 1'(2'(0'(0'(0'(0'(0'(3'(1'(3'(3'(3'(2'(1'(2'(3'(1'(0'(x1)))))))))))))))))) [1]
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   1'(c_1(c_3(c_3(c_1(c_0(c_2(c_3(c_2(c_1(c_3(c_2(c_0(c_1(c_1(c_1(c_1(c_1(x1)))))))))))))))))) -> 1'(3'(1'(1'(1'(1'(1'(2'(1'(1'(3'(0'(3'(3'(0'(2'(2'(1'(x1)))))))))))))))))) [1]
   0'(c_0(c_3(c_1(c_0(c_0(c_2(c_2(c_0(c_0(c_0(c_2(c_2(c_3(c_2(c_2(c_2(c_0(x1)))))))))))))))))) -> 0'(0'(2'(0'(2'(0'(0'(2'(2'(0'(2'(3'(1'(3'(0'(2'(2'(0'(x1)))))))))))))))))) [1]
   1'(c_3(c_0(c_1(c_3(c_2(c_2(c_2(c_2(c_1(c_0(c_0(c_1(c_2(c_2(c_0(c_0(c_1(x1)))))))))))))))))) -> 1'(2'(2'(1'(1'(2'(1'(2'(0'(0'(3'(1'(2'(0'(0'(0'(3'(2'(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_2(c_0(c_3(c_2(c_1(c_0(x1)))))))))))))))))) -> 3'(3'(1'(0'(0'(2'(1'(1'(1'(2'(3'(1'(1'(2'(0'(0'(3'(0'(x1)))))))))))))))))) [1]
   1'(c_3(c_1(c_2(c_2(c_2(c_1(c_3(c_3(c_0(c_1(c_1(c_0(c_0(c_2(c_2(c_3(c_2(x1)))))))))))))))))) -> 1'(2'(2'(3'(0'(2'(3'(0'(3'(2'(3'(1'(1'(0'(1'(2'(1'(2'(x1)))))))))))))))))) [1]
   3'(c_2(c_2(c_2(c_2(c_3(c_3(c_1(c_3(c_1(c_1(c_3(c_3(c_1(c_2(c_2(c_3(c_2(x1)))))))))))))))))) -> 3'(2'(3'(2'(3'(1'(2'(3'(1'(2'(3'(3'(2'(3'(2'(1'(1'(2'(x1)))))))))))))))))) [1]
   encArg(cons_0(x_1)) -> 0'(encArg(x_1)) [0]
   encArg(cons_1(x_1)) -> 1'(encArg(x_1)) [0]
   encArg(cons_2(x_1)) -> 2'(encArg(x_1)) [0]
   encArg(cons_3(x_1)) -> 3'(encArg(x_1)) [0]
   encode_0(x_1) -> 0'(encArg(x_1)) [0]
   encode_1(x_1) -> 1'(encArg(x_1)) [0]
   encode_3(x_1) -> 3'(encArg(x_1)) [0]
   encode_2(x_1) -> 2'(encArg(x_1)) [0]
   0'(x0) -> c_0(x0) [0]
   1'(x0) -> c_1(x0) [0]
   2'(x0) -> c_2(x0) [0]
   3'(x0) -> c_3(x0) [0]

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

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

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

   3'(c_3(c_1(c_2(c_1(c_3(c_2(c_2(c_1(c_2(c_1(c_2(c_2(c_0(c_3(c_2(c_1(c_0(x1)))))))))))))))))) -> 3'(0'(2'(1'(2'(1'(2'(2'(3'(1'(2'(0'(2'(1'(1'(2'(3'(3'(x1)))))))))))))))))) [1]
   3'(c_3(c_0(c_2(c_0(c_1(c_3(c_1(c_0(c_2(c_2(c_2(c_2(c_0(c_3(c_3(c_1(c_0(x1)))))))))))))))))) -> 3'(3'(2'(0'(3'(1'(0'(2'(1'(2'(3'(0'(1'(0'(2'(3'(2'(0'(x1)))))))))))))))))) [1]
   0'(c_2(c_3(c_3(c_2(c_1(c_3(c_0(c_1(c_3(c_1(c_3(c_3(c_0(c_2(c_1(c_0(c_1(x1)))))))))))))))))) -> 0'(2'(3'(3'(0'(3'(1'(0'(2'(3'(1'(0'(3'(3'(2'(1'(1'(1'(x1)))))))))))))))))) [1]
   2'(c_0(c_2(c_2(c_3(c_2(c_0(c_2(c_0(c_1(c_1(c_3(c_1(c_3(c_3(c_3(c_2(c_0(x1)))))))))))))))))) -> 2'(3'(1'(2'(1'(2'(0'(2'(2'(1'(0'(0'(3'(3'(2'(0'(3'(3'(x1)))))))))))))))))) [1]
   2'(c_1(c_0(c_0(c_2(c_2(c_2(c_0(c_1(c_3(c_1(c_3(c_2(c_3(c_2(c_1(c_1(c_2(x1)))))))))))))))))) -> 2'(2'(0'(0'(3'(0'(2'(2'(1'(2'(3'(1'(2'(3'(1'(1'(1'(2'(x1)))))))))))))))))) [1]
   0'(c_3(c_1(c_0(c_2(c_2(c_1(c_0(c_1(c_1(c_0(c_0(c_3(c_1(c_2(c_2(c_3(c_0(x1)))))))))))))))))) -> 0'(3'(1'(1'(0'(3'(2'(0'(2'(1'(2'(2'(0'(3'(1'(1'(0'(0'(x1)))))))))))))))))) [1]
   0'(c_1(c_0(c_3(c_2(c_2(c_3(c_2(c_0(c_1(c_1(c_1(c_1(c_0(c_1(c_0(c_1(c_1(x1)))))))))))))))))) -> 1'(2'(3'(1'(1'(0'(0'(1'(1'(3'(0'(0'(2'(0'(2'(1'(1'(1'(x1)))))))))))))))))) [1]
   0'(c_2(c_0(c_2(c_2(c_1(c_1(c_0(c_2(c_0(c_0(c_0(c_1(c_0(c_3(c_0(c_2(c_0(x1)))))))))))))))))) -> 0'(2'(1'(1'(1'(0'(2'(0'(2'(0'(0'(0'(0'(3'(2'(0'(2'(0'(x1)))))))))))))))))) [1]
   1'(c_0(c_0(c_0(c_3(c_0(c_2(c_3(c_1(c_2(c_3(c_1(c_1(c_2(c_2(c_2(c_2(c_3(x1)))))))))))))))))) -> 1'(3'(0'(2'(1'(2'(0'(1'(2'(0'(0'(2'(2'(1'(3'(3'(2'(3'(x1)))))))))))))))))) [1]
   0'(c_0(c_2(c_0(c_0(c_0(c_1(c_1(c_0(c_2(c_2(c_3(c_3(c_0(c_0(c_3(c_0(c_2(x1)))))))))))))))))) -> 0'(2'(0'(0'(3'(1'(1'(2'(3'(0'(2'(0'(0'(3'(0'(0'(0'(2'(x1)))))))))))))))))) [1]
   3'(c_1(c_0(c_2(c_1(c_0(c_1(c_0(c_1(c_0(c_2(c_2(c_0(c_2(c_3(c_3(c_2(c_2(x1)))))))))))))))))) -> 0'(3'(0'(0'(0'(2'(3'(2'(1'(3'(0'(2'(2'(1'(1'(1'(2'(2'(x1)))))))))))))))))) [1]
   3'(c_0(c_1(c_0(c_2(c_3(c_2(c_0(c_1(c_0(c_1(c_2(c_3(c_1(c_2(c_0(c_1(c_2(x1)))))))))))))))))) -> 3'(0'(1'(1'(1'(1'(2'(2'(3'(0'(1'(2'(0'(3'(0'(2'(0'(2'(x1)))))))))))))))))) [1]
   3'(c_2(c_0(c_3(c_0(c_1(c_1(c_0(c_2(c_3(c_0(c_3(c_0(c_0(c_1(c_0(c_2(c_0(x1)))))))))))))))))) -> 3'(2'(0'(0'(1'(1'(1'(0'(0'(3'(3'(2'(3'(0'(0'(0'(2'(0'(x1)))))))))))))))))) [1]
   1'(c_3(c_1(c_3(c_2(c_2(c_0(c_0(c_0(c_0(c_1(c_3(c_2(c_0(c_1(c_3(c_3(c_0(x1)))))))))))))))))) -> 1'(2'(0'(0'(0'(0'(0'(3'(1'(3'(3'(3'(2'(1'(2'(3'(1'(0'(x1)))))))))))))))))) [1]
   0'(c_0(c_3(c_2(c_0(c_0(c_1(c_0(c_1(c_3(c_2(c_3(c_2(c_2(c_2(c_0(c_1(c_1(x1)))))))))))))))))) -> 2'(0'(0'(1'(3'(1'(2'(1'(2'(0'(3'(2'(0'(0'(3'(0'(1'(2'(x1)))))))))))))))))) [1]
   1'(c_1(c_2(c_0(c_2(c_2(c_1(c_2(c_3(c_2(c_3(c_1(c_0(c_0(c_1(c_3(c_0(c_2(x1)))))))))))))))))) -> 1'(2'(2'(1'(1'(2'(0'(3'(1'(0'(3'(1'(0'(2'(2'(3'(0'(2'(x1)))))))))))))))))) [1]
   2'(c_0(c_2(c_0(c_0(c_1(c_1(c_1(c_3(c_1(c_1(c_3(c_2(c_3(c_1(c_3(c_2(c_3(x1)))))))))))))))))) -> 2'(0'(1'(1'(1'(0'(3'(1'(2'(1'(0'(1'(2'(3'(3'(3'(2'(3'(x1)))))))))))))))))) [1]
   1'(c_0(c_3(c_2(c_3(c_2(c_2(c_0(c_3(c_2(c_2(c_1(c_1(c_0(c_3(c_2(c_3(c_3(x1)))))))))))))))))) -> 1'(2'(3'(0'(2'(2'(3'(0'(2'(3'(2'(1'(3'(1'(2'(0'(3'(3'(x1)))))))))))))))))) [1]
   3'(c_2(c_2(c_0(c_2(c_3(c_0(c_1(c_0(c_3(c_1(c_3(c_3(c_1(c_3(c_1(c_2(c_3(x1)))))))))))))))))) -> 3'(2'(0'(3'(1'(2'(0'(3'(3'(1'(1'(1'(0'(2'(3'(2'(3'(3'(x1)))))))))))))))))) [1]
   1'(c_1(c_0(c_1(c_1(c_3(c_2(c_0(c_2(c_1(c_2(c_2(c_1(c_2(c_3(c_1(c_1(c_1(x1)))))))))))))))))) -> 1'(1'(0'(3'(2'(3'(1'(2'(1'(2'(0'(2'(2'(1'(1'(1'(1'(1'(x1)))))))))))))))))) [1]
   2'(c_3(c_1(c_0(c_0(c_3(c_1(c_0(c_1(c_3(c_0(c_1(c_2(c_2(c_2(c_2(c_0(c_2(x1)))))))))))))))))) -> 2'(0'(2'(0'(0'(1'(1'(2'(3'(1'(1'(0'(2'(3'(2'(3'(0'(2'(x1)))))))))))))))))) [1]
   1'(c_3(c_2(c_3(c_0(c_3(c_3(c_3(c_1(c_3(c_3(c_1(c_3(c_3(c_3(c_2(c_2(c_0(x1)))))))))))))))))) -> 1'(3'(3'(3'(1'(1'(0'(2'(3'(3'(3'(3'(3'(2'(0'(3'(2'(3'(x1)))))))))))))))))) [1]
   3'(c_0(c_3(c_0(c_3(c_2(c_2(c_3(c_2(c_1(c_0(c_2(c_3(c_1(c_2(c_3(c_3(c_0(x1)))))))))))))))))) -> 3'(1'(2'(1'(2'(3'(2'(0'(2'(3'(2'(0'(0'(3'(3'(3'(3'(0'(x1)))))))))))))))))) [1]
   3'(c_1(c_1(c_0(c_1(c_0(c_3(c_1(c_1(c_2(c_1(c_3(c_0(c_3(c_3(c_1(c_0(c_3(x1)))))))))))))))))) -> 3'(1'(1'(1'(3'(1'(1'(1'(0'(3'(0'(0'(1'(2'(3'(3'(0'(3'(x1)))))))))))))))))) [1]
   0'(c_2(c_2(c_2(c_2(c_2(c_1(c_3(c_1(c_0(c_1(c_2(c_3(c_2(c_0(c_1(c_1(c_2(x1)))))))))))))))))) -> 2'(1'(2'(1'(2'(3'(2'(1'(2'(1'(2'(0'(0'(2'(0'(1'(3'(2'(x1)))))))))))))))))) [1]
   0'(c_0(c_2(c_1(c_0(c_0(c_1(c_0(c_1(c_0(c_3(c_1(c_3(c_3(c_2(c_0(c_1(c_1(x1)))))))))))))))))) -> 3'(0'(0'(2'(0'(1'(1'(0'(2'(0'(3'(1'(0'(1'(0'(3'(1'(1'(x1)))))))))))))))))) [1]
   0'(c_0(c_0(c_1(c_3(c_2(c_2(c_3(c_0(c_2(c_2(c_0(c_1(c_0(c_0(c_0(c_1(c_2(x1)))))))))))))))))) -> 0'(3'(0'(0'(3'(0'(2'(1'(2'(1'(0'(0'(1'(2'(0'(2'(0'(2'(x1)))))))))))))))))) [1]
   0'(c_2(c_2(c_1(c_3(c_0(c_0(c_1(c_3(c_0(c_1(c_0(c_3(c_3(c_2(c_0(c_1(c_3(x1)))))))))))))))))) -> 3'(0'(1'(3'(3'(0'(0'(0'(0'(2'(1'(2'(0'(3'(1'(2'(1'(3'(x1)))))))))))))))))) [1]
   1'(c_3(c_3(c_1(c_1(c_3(c_0(c_2(c_0(c_1(c_3(c_1(c_3(c_0(c_3(c_2(c_2(c_1(x1)))))))))))))))))) -> 1'(3'(3'(3'(0'(1'(1'(2'(0'(3'(1'(1'(2'(3'(3'(0'(2'(1'(x1)))))))))))))))))) [1]
   0'(c_2(c_3(c_1(c_3(c_3(c_1(c_3(c_2(c_3(c_2(c_2(c_1(c_0(c_1(c_1(c_1(c_1(x1)))))))))))))))))) -> 1'(0'(3'(3'(3'(3'(1'(1'(2'(2'(3'(1'(2'(1'(2'(0'(1'(1'(x1)))))))))))))))))) [1]
   1'(c_0(c_0(c_0(c_1(c_3(c_2(c_2(c_2(c_2(c_2(c_3(c_1(c_3(c_1(c_1(c_1(c_1(x1)))))))))))))))))) -> 1'(2'(1'(1'(3'(2'(0'(1'(0'(2'(1'(0'(2'(3'(1'(2'(3'(1'(x1)))))))))))))))))) [1]
   3'(c_0(c_1(c_0(c_0(c_2(c_1(c_0(c_1(c_3(c_2(c_1(c_1(c_3(c_3(c_0(c_1(c_1(x1)))))))))))))))))) -> 3'(0'(0'(2'(3'(1'(1'(1'(0'(1'(3'(0'(1'(0'(3'(2'(1'(1'(x1)))))))))))))))))) [1]
   3'(c_2(c_3(c_2(c_2(c_2(c_0(c_2(c_3(c_0(c_1(c_2(c_3(c_0(c_1(c_1(c_0(c_2(x1)))))))))))))))))) -> 3'(2'(2'(3'(3'(0'(3'(1'(2'(2'(0'(1'(0'(0'(2'(2'(1'(2'(x1)))))))))))))))))) [1]
   1'(c_1(c_0(c_0(c_3(c_2(c_2(c_2(c_2(c_0(c_3(c_2(c_2(c_0(c_0(c_1(c_0(c_0(x1)))))))))))))))))) -> 1'(3'(3'(0'(0'(2'(0'(1'(2'(2'(2'(0'(2'(1'(0'(2'(0'(0'(x1)))))))))))))))))) [1]
   3'(c_0(c_1(c_0(c_0(c_0(c_0(c_3(c_3(c_2(c_0(c_0(c_1(c_0(c_0(c_2(c_2(c_2(x1)))))))))))))))))) -> 0'(2'(0'(3'(0'(0'(2'(0'(3'(3'(0'(0'(0'(2'(1'(0'(1'(2'(x1)))))))))))))))))) [1]
   1'(c_0(c_1(c_0(c_1(c_3(c_0(c_2(c_3(c_0(c_1(c_3(c_3(c_2(c_1(c_0(c_1(c_3(x1)))))))))))))))))) -> 1'(3'(3'(2'(1'(2'(0'(1'(3'(1'(3'(0'(0'(0'(1'(0'(1'(3'(x1)))))))))))))))))) [1]
   0'(c_1(c_1(c_0(c_0(c_2(c_2(c_0(c_3(c_2(c_1(c_0(c_3(c_1(c_1(c_0(c_2(c_2(x1)))))))))))))))))) -> 0'(0'(0'(2'(1'(2'(0'(1'(1'(2'(1'(0'(3'(3'(1'(0'(2'(2'(x1)))))))))))))))))) [1]
   0'(c_1(c_0(c_1(c_0(c_3(c_0(c_1(c_3(c_1(c_3(c_0(c_1(c_0(c_1(c_3(c_2(c_1(x1)))))))))))))))))) -> 0'(1'(2'(0'(3'(1'(0'(0'(1'(1'(0'(1'(3'(1'(0'(3'(3'(1'(x1)))))))))))))))))) [1]
   2'(c_1(c_3(c_3(c_2(c_1(c_2(c_3(c_1(c_3(c_3(c_1(c_2(c_1(c_2(c_2(c_0(c_3(x1)))))))))))))))))) -> 2'(2'(1'(1'(1'(2'(2'(2'(1'(2'(1'(0'(3'(3'(3'(3'(3'(3'(x1)))))))))))))))))) [1]
   0'(c_2(c_2(c_2(c_3(c_3(c_0(c_1(c_3(c_1(c_1(c_1(c_0(c_1(c_3(c_2(c_0(c_2(x1)))))))))))))))))) -> 2'(1'(1'(0'(3'(3'(0'(1'(3'(1'(2'(3'(2'(0'(1'(2'(0'(2'(x1)))))))))))))))))) [1]
   1'(c_0(c_1(c_1(c_3(c_2(c_1(c_1(c_0(c_0(c_0(c_1(c_3(c_0(c_0(c_0(c_1(c_0(x1)))))))))))))))))) -> 1'(3'(1'(1'(1'(0'(1'(3'(0'(0'(0'(0'(1'(1'(0'(0'(2'(0'(x1)))))))))))))))))) [1]
   1'(c_0(c_2(c_3(c_0(c_1(c_0(c_2(c_0(c_1(c_0(c_3(c_1(c_2(c_2(c_2(c_3(c_1(x1)))))))))))))))))) -> 1'(0'(3'(0'(0'(0'(2'(2'(3'(3'(1'(2'(0'(1'(2'(1'(2'(1'(x1)))))))))))))))))) [1]
   1'(c_2(c_2(c_1(c_2(c_2(c_1(c_0(c_1(c_2(c_1(c_1(c_0(c_2(c_3(c_2(c_2(c_0(x1)))))))))))))))))) -> 1'(2'(1'(2'(2'(1'(2'(1'(0'(1'(2'(2'(0'(2'(3'(1'(2'(0'(x1)))))))))))))))))) [1]
   0'(c_0(c_1(c_3(c_2(c_1(c_0(c_1(c_2(c_2(c_1(c_1(c_1(c_1(c_2(c_3(c_2(c_2(x1)))))))))))))))))) -> 0'(1'(1'(1'(2'(1'(2'(1'(3'(2'(3'(0'(1'(2'(0'(1'(2'(2'(x1)))))))))))))))))) [1]
   0'(c_2(c_2(c_0(c_3(c_1(c_3(c_1(c_3(c_3(c_1(c_2(c_1(c_0(c_0(c_2(c_0(c_1(x1)))))))))))))))))) -> 0'(2'(0'(1'(1'(2'(3'(3'(1'(1'(3'(0'(2'(0'(2'(0'(3'(1'(x1)))))))))))))))))) [1]
   3'(c_0(c_0(c_1(c_3(c_1(c_0(c_2(c_3(c_3(c_1(c_3(c_3(c_3(c_3(c_2(c_1(c_0(x1)))))))))))))))))) -> 3'(0'(3'(1'(1'(2'(2'(1'(3'(0'(3'(3'(0'(3'(3'(3'(1'(0'(x1)))))))))))))))))) [1]
   0'(c_2(c_3(c_1(c_3(c_2(c_3(c_1(c_1(c_0(c_2(c_3(c_2(c_1(c_0(c_0(c_1(c_2(x1)))))))))))))))))) -> 0'(2'(3'(3'(2'(3'(2'(0'(1'(2'(0'(1'(1'(1'(0'(3'(1'(2'(x1)))))))))))))))))) [1]
   1'(c_1(c_1(c_0(c_1(c_1(c_3(c_2(c_3(c_0(c_0(c_3(c_3(c_3(c_2(c_2(c_2(c_1(x1)))))))))))))))))) -> 1'(0'(3'(0'(0'(3'(3'(1'(2'(3'(1'(2'(1'(1'(2'(3'(1'(2'(x1)))))))))))))))))) [1]
   1'(c_1(c_3(c_3(c_2(c_1(c_1(c_1(c_3(c_3(c_1(c_1(c_0(c_2(c_0(c_2(c_1(c_2(x1)))))))))))))))))) -> 1'(1'(2'(3'(1'(3'(0'(1'(1'(1'(2'(3'(0'(2'(3'(1'(1'(2'(x1)))))))))))))))))) [1]
   0'(c_2(c_3(c_2(c_1(c_1(c_3(c_3(c_1(c_3(c_0(c_1(c_0(c_1(c_1(c_3(c_2(c_1(x1)))))))))))))))))) -> 0'(2'(3'(1'(2'(1'(1'(1'(2'(0'(3'(3'(3'(3'(0'(1'(1'(1'(x1)))))))))))))))))) [1]
   0'(c_0(c_1(c_1(c_3(c_2(c_3(c_2(c_3(c_2(c_0(c_0(c_2(c_3(c_2(c_3(c_1(c_0(x1)))))))))))))))))) -> 2'(3'(0'(2'(1'(2'(3'(1'(2'(3'(0'(3'(3'(1'(0'(2'(0'(0'(x1)))))))))))))))))) [1]
   3'(c_2(c_2(c_1(c_3(c_1(c_2(c_2(c_3(c_3(c_0(c_2(c_1(c_0(c_1(c_3(c_2(c_1(x1)))))))))))))))))) -> 3'(2'(3'(1'(1'(2'(3'(0'(2'(1'(3'(1'(1'(2'(3'(0'(2'(2'(x1)))))))))))))))))) [1]
   2'(c_1(c_0(c_2(c_1(c_0(c_0(c_1(c_1(c_2(c_2(c_2(c_2(c_2(c_2(c_2(c_2(c_1(x1)))))))))))))))))) -> 2'(0'(0'(1'(2'(2'(2'(1'(2'(2'(2'(0'(1'(2'(1'(2'(2'(1'(x1)))))))))))))))))) [1]
   3'(c_2(c_2(c_2(c_2(c_2(c_1(c_0(c_0(c_1(c_3(c_2(c_3(c_1(c_3(c_3(c_2(c_1(x1)))))))))))))))))) -> 3'(2'(3'(1'(0'(2'(2'(2'(1'(3'(3'(2'(1'(0'(2'(2'(3'(1'(x1)))))))))))))))))) [1]
   3'(c_1(c_2(c_2(c_3(c_1(c_0(c_1(c_1(c_1(c_1(c_3(c_2(c_1(c_1(c_1(c_3(c_1(x1)))))))))))))))))) -> 3'(1'(1'(2'(2'(3'(1'(1'(0'(1'(2'(1'(1'(3'(1'(1'(3'(1'(x1)))))))))))))))))) [1]
   3'(c_3(c_1(c_3(c_3(c_2(c_1(c_3(c_2(c_3(c_3(c_2(c_3(c_1(c_3(c_2(c_3(c_1(x1)))))))))))))))))) -> 3'(1'(3'(1'(2'(2'(3'(3'(3'(3'(3'(3'(3'(2'(2'(1'(3'(1'(x1)))))))))))))))))) [1]
   3'(c_0(c_0(c_1(c_3(c_2(c_2(c_1(c_3(c_3(c_0(c_1(c_2(c_1(c_0(c_3(c_1(c_2(x1)))))))))))))))))) -> 3'(0'(1'(1'(3'(3'(0'(2'(3'(1'(2'(1'(3'(0'(2'(0'(1'(2'(x1)))))))))))))))))) [1]
   0'(c_0(c_2(c_0(c_3(c_2(c_2(c_3(c_3(c_1(c_3(c_2(c_1(c_1(c_3(c_0(c_0(c_1(x1)))))))))))))))))) -> 0'(0'(3'(1'(1'(0'(3'(2'(2'(0'(2'(3'(3'(1'(2'(3'(0'(1'(x1)))))))))))))))))) [1]
   0'(c_3(c_1(c_0(c_0(c_3(c_0(c_0(c_1(c_0(c_3(c_2(c_1(c_3(c_0(c_0(c_1(c_2(x1)))))))))))))))))) -> 0'(0'(3'(1'(1'(3'(1'(0'(0'(2'(1'(0'(3'(0'(0'(0'(3'(2'(x1)))))))))))))))))) [1]
   0'(c_3(c_0(c_1(c_3(c_1(c_3(c_2(c_0(c_1(c_0(c_1(c_0(c_0(c_3(c_1(c_1(c_3(x1)))))))))))))))))) -> 0'(3'(2'(0'(3'(1'(3'(1'(1'(0'(3'(0'(0'(1'(0'(1'(1'(3'(x1)))))))))))))))))) [1]
   3'(c_2(c_1(c_0(c_1(c_0(c_1(c_3(c_0(c_1(c_2(c_3(c_0(c_0(c_1(c_3(c_0(c_1(x1)))))))))))))))))) -> 3'(0'(0'(3'(0'(3'(3'(0'(0'(1'(1'(0'(1'(2'(1'(2'(1'(1'(x1)))))))))))))))))) [1]
   0'(c_0(c_3(c_3(c_1(c_3(c_3(c_0(c_1(c_3(c_2(c_3(c_3(c_3(c_0(c_3(c_3(c_3(x1)))))))))))))))))) -> 0'(3'(0'(3'(3'(1'(3'(0'(3'(3'(3'(1'(3'(0'(3'(2'(3'(3'(x1)))))))))))))))))) [1]
   3'(c_0(c_1(c_0(c_2(c_1(c_0(c_0(c_0(c_0(c_1(c_1(c_3(c_2(c_2(c_3(c_0(c_1(x1)))))))))))))))))) -> 3'(0'(0'(3'(0'(3'(2'(1'(1'(0'(0'(0'(2'(1'(1'(1'(0'(2'(x1)))))))))))))))))) [1]
   3'(c_3(c_2(c_2(c_3(c_0(c_1(c_3(c_3(c_3(c_0(c_0(c_0(c_2(c_0(c_2(c_3(c_0(x1)))))))))))))))))) -> 3'(3'(3'(0'(3'(2'(0'(2'(3'(0'(2'(2'(0'(1'(3'(0'(3'(0'(x1)))))))))))))))))) [1]
   3'(c_2(c_0(c_1(c_2(c_3(c_2(c_2(c_1(c_3(c_0(c_3(c_3(c_1(c_3(c_3(c_2(c_2(x1)))))))))))))))))) -> 3'(2'(0'(1'(2'(0'(1'(3'(3'(2'(3'(3'(3'(3'(1'(2'(2'(2'(x1)))))))))))))))))) [1]
   2'(c_3(c_0(c_1(c_0(c_0(c_3(c_1(c_0(c_3(c_2(c_3(c_2(c_2(c_2(c_3(c_3(c_2(x1)))))))))))))))))) -> 2'(3'(2'(3'(0'(0'(2'(2'(2'(1'(1'(0'(3'(2'(0'(3'(3'(3'(x1)))))))))))))))))) [1]
   1'(c_0(c_3(c_0(c_2(c_0(c_3(c_0(c_1(c_1(c_2(c_3(c_0(c_1(c_3(c_2(c_0(c_3(x1)))))))))))))))))) -> 1'(0'(2'(1'(0'(1'(0'(2'(0'(3'(3'(3'(1'(2'(0'(0'(3'(3'(x1)))))))))))))))))) [1]
   2'(c_2(c_3(c_1(c_0(c_3(c_2(c_2(c_2(c_2(c_3(c_1(c_3(c_3(c_0(c_2(c_3(c_2(x1)))))))))))))))))) -> 2'(2'(3'(0'(3'(1'(2'(3'(3'(3'(0'(2'(1'(2'(2'(3'(2'(2'(x1)))))))))))))))))) [1]
   2'(c_1(c_1(c_3(c_2(c_0(c_0(c_0(c_2(c_1(c_0(c_2(c_2(c_3(c_2(c_3(c_2(c_0(x1)))))))))))))))))) -> 2'(0'(0'(2'(0'(2'(2'(1'(2'(1'(2'(3'(0'(3'(2'(3'(1'(0'(x1)))))))))))))))))) [1]
   0'(c_0(c_2(c_0(c_1(c_1(c_2(c_0(c_1(c_0(c_1(c_0(c_1(c_0(c_2(c_3(c_2(c_0(x1)))))))))))))))))) -> 0'(0'(0'(2'(2'(2'(0'(3'(0'(1'(1'(1'(1'(1'(0'(0'(2'(0'(x1)))))))))))))))))) [1]
   3'(c_1(c_0(c_3(c_2(c_1(c_0(c_3(c_0(c_2(c_3(c_2(c_3(c_0(c_1(c_3(c_3(c_2(x1)))))))))))))))))) -> 3'(1'(0'(3'(1'(3'(3'(3'(0'(2'(3'(0'(3'(2'(2'(0'(1'(2'(x1)))))))))))))))))) [1]
   3'(c_3(c_1(c_3(c_0(c_2(c_3(c_3(c_3(c_1(c_0(c_0(c_2(c_2(c_0(c_2(c_0(c_1(x1)))))))))))))))))) -> 3'(0'(0'(2'(0'(0'(3'(0'(3'(3'(2'(1'(2'(1'(2'(3'(3'(1'(x1)))))))))))))))))) [1]
   1'(c_1(c_1(c_0(c_1(c_1(c_2(c_2(c_2(c_1(c_0(c_1(c_1(c_1(c_3(c_3(c_0(c_3(x1)))))))))))))))))) -> 1'(2'(0'(3'(1'(1'(1'(0'(1'(2'(1'(2'(1'(1'(1'(3'(0'(3'(x1)))))))))))))))))) [1]
   1'(c_0(c_1(c_3(c_2(c_0(c_2(c_1(c_3(c_3(c_2(c_1(c_3(c_2(c_2(c_0(c_1(c_2(x1)))))))))))))))))) -> 1'(3'(1'(2'(1'(3'(3'(1'(0'(0'(0'(2'(1'(3'(2'(2'(2'(2'(x1)))))))))))))))))) [1]
   1'(c_1(c_3(c_3(c_1(c_0(c_2(c_3(c_2(c_1(c_3(c_2(c_0(c_1(c_1(c_1(c_1(c_1(x1)))))))))))))))))) -> 1'(3'(1'(1'(1'(1'(1'(2'(1'(1'(3'(0'(3'(3'(0'(2'(2'(1'(x1)))))))))))))))))) [1]
   0'(c_0(c_3(c_1(c_0(c_0(c_2(c_2(c_0(c_0(c_0(c_2(c_2(c_3(c_2(c_2(c_2(c_0(x1)))))))))))))))))) -> 0'(0'(2'(0'(2'(0'(0'(2'(2'(0'(2'(3'(1'(3'(0'(2'(2'(0'(x1)))))))))))))))))) [1]
   1'(c_3(c_0(c_1(c_3(c_2(c_2(c_2(c_2(c_1(c_0(c_0(c_1(c_2(c_2(c_0(c_0(c_1(x1)))))))))))))))))) -> 1'(2'(2'(1'(1'(2'(1'(2'(0'(0'(3'(1'(2'(0'(0'(0'(3'(2'(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_2(c_0(c_3(c_2(c_1(c_0(x1)))))))))))))))))) -> 3'(3'(1'(0'(0'(2'(1'(1'(1'(2'(3'(1'(1'(2'(0'(0'(3'(0'(x1)))))))))))))))))) [1]
   1'(c_3(c_1(c_2(c_2(c_2(c_1(c_3(c_3(c_0(c_1(c_1(c_0(c_0(c_2(c_2(c_3(c_2(x1)))))))))))))))))) -> 1'(2'(2'(3'(0'(2'(3'(0'(3'(2'(3'(1'(1'(0'(1'(2'(1'(2'(x1)))))))))))))))))) [1]
   3'(c_2(c_2(c_2(c_2(c_3(c_3(c_1(c_3(c_1(c_1(c_3(c_3(c_1(c_2(c_2(c_3(c_2(x1)))))))))))))))))) -> 3'(2'(3'(2'(3'(1'(2'(3'(1'(2'(3'(3'(2'(3'(2'(1'(1'(2'(x1)))))))))))))))))) [1]
   encArg(cons_0(x_1)) -> 0'(encArg(x_1)) [0]
   encArg(cons_1(x_1)) -> 1'(encArg(x_1)) [0]
   encArg(cons_2(x_1)) -> 2'(encArg(x_1)) [0]
   encArg(cons_3(x_1)) -> 3'(encArg(x_1)) [0]
   encode_0(x_1) -> 0'(encArg(x_1)) [0]
   encode_1(x_1) -> 1'(encArg(x_1)) [0]
   encode_3(x_1) -> 3'(encArg(x_1)) [0]
   encode_2(x_1) -> 2'(encArg(x_1)) [0]
   0'(x0) -> c_0(x0) [0]
   1'(x0) -> c_1(x0) [0]
   2'(x0) -> c_2(x0) [0]
   3'(x0) -> c_3(x0) [0]

The TRS has the following type information:
3' :: c_0:c_1:c_2:c_3 -> c_0:c_1:c_2:c_3
c_3 :: c_0:c_1:c_2:c_3 -> c_0:c_1:c_2:c_3
c_1 :: c_0:c_1:c_2:c_3 -> c_0:c_1:c_2:c_3
c_2 :: c_0:c_1:c_2:c_3 -> c_0:c_1:c_2:c_3
c_0 :: c_0:c_1:c_2:c_3 -> c_0:c_1:c_2:c_3
0' :: c_0:c_1:c_2:c_3 -> c_0:c_1:c_2:c_3
2' :: c_0:c_1:c_2:c_3 -> c_0:c_1:c_2:c_3
1' :: c_0:c_1:c_2:c_3 -> c_0:c_1:c_2:c_3
encArg :: cons_0:cons_1:cons_2:cons_3 -> c_0:c_1:c_2:c_3
cons_0 :: cons_0:cons_1:cons_2:cons_3 -> cons_0:cons_1:cons_2:cons_3
cons_1 :: cons_0:cons_1:cons_2:cons_3 -> cons_0:cons_1:cons_2:cons_3
cons_2 :: cons_0:cons_1:cons_2:cons_3 -> cons_0:cons_1:cons_2:cons_3
cons_3 :: cons_0:cons_1:cons_2:cons_3 -> cons_0:cons_1:cons_2:cons_3
encode_0 :: cons_0:cons_1:cons_2:cons_3 -> c_0:c_1:c_2:c_3
encode_1 :: cons_0:cons_1:cons_2:cons_3 -> c_0:c_1:c_2:c_3
encode_3 :: cons_0:cons_1:cons_2:cons_3 -> c_0:c_1:c_2:c_3
encode_2 :: cons_0:cons_1:cons_2:cons_3 -> c_0:c_1:c_2: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_1_1
   encode_3_1
   encode_2_1
   0'_1
   1'_1
   2'_1
   3'_1

Due to the following rules being added:

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

And the following fresh constants:    const, const1

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

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

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

   3'(c_3(c_1(c_2(c_1(c_3(c_2(c_2(c_1(c_2(c_1(c_2(c_2(c_0(c_3(c_2(c_1(c_0(x1)))))))))))))))))) -> 3'(0'(2'(1'(2'(1'(2'(2'(3'(1'(2'(0'(2'(1'(1'(2'(3'(3'(x1)))))))))))))))))) [1]
   3'(c_3(c_0(c_2(c_0(c_1(c_3(c_1(c_0(c_2(c_2(c_2(c_2(c_0(c_3(c_3(c_1(c_0(x1)))))))))))))))))) -> 3'(3'(2'(0'(3'(1'(0'(2'(1'(2'(3'(0'(1'(0'(2'(3'(2'(0'(x1)))))))))))))))))) [1]
   0'(c_2(c_3(c_3(c_2(c_1(c_3(c_0(c_1(c_3(c_1(c_3(c_3(c_0(c_2(c_1(c_0(c_1(x1)))))))))))))))))) -> 0'(2'(3'(3'(0'(3'(1'(0'(2'(3'(1'(0'(3'(3'(2'(1'(1'(1'(x1)))))))))))))))))) [1]
   2'(c_0(c_2(c_2(c_3(c_2(c_0(c_2(c_0(c_1(c_1(c_3(c_1(c_3(c_3(c_3(c_2(c_0(x1)))))))))))))))))) -> 2'(3'(1'(2'(1'(2'(0'(2'(2'(1'(0'(0'(3'(3'(2'(0'(3'(3'(x1)))))))))))))))))) [1]
   2'(c_1(c_0(c_0(c_2(c_2(c_2(c_0(c_1(c_3(c_1(c_3(c_2(c_3(c_2(c_1(c_1(c_2(x1)))))))))))))))))) -> 2'(2'(0'(0'(3'(0'(2'(2'(1'(2'(3'(1'(2'(3'(1'(1'(1'(2'(x1)))))))))))))))))) [1]
   0'(c_3(c_1(c_0(c_2(c_2(c_1(c_0(c_1(c_1(c_0(c_0(c_3(c_1(c_2(c_2(c_3(c_0(x1)))))))))))))))))) -> 0'(3'(1'(1'(0'(3'(2'(0'(2'(1'(2'(2'(0'(3'(1'(1'(0'(0'(x1)))))))))))))))))) [1]
   0'(c_1(c_0(c_3(c_2(c_2(c_3(c_2(c_0(c_1(c_1(c_1(c_1(c_0(c_1(c_0(c_1(c_1(x1)))))))))))))))))) -> 1'(2'(3'(1'(1'(0'(0'(1'(1'(3'(0'(0'(2'(0'(2'(1'(1'(1'(x1)))))))))))))))))) [1]
   0'(c_2(c_0(c_2(c_2(c_1(c_1(c_0(c_2(c_0(c_0(c_0(c_1(c_0(c_3(c_0(c_2(c_0(x1)))))))))))))))))) -> 0'(2'(1'(1'(1'(0'(2'(0'(2'(0'(0'(0'(0'(3'(2'(0'(2'(0'(x1)))))))))))))))))) [1]
   1'(c_0(c_0(c_0(c_3(c_0(c_2(c_3(c_1(c_2(c_3(c_1(c_1(c_2(c_2(c_2(c_2(c_3(x1)))))))))))))))))) -> 1'(3'(0'(2'(1'(2'(0'(1'(2'(0'(0'(2'(2'(1'(3'(3'(2'(3'(x1)))))))))))))))))) [1]
   0'(c_0(c_2(c_0(c_0(c_0(c_1(c_1(c_0(c_2(c_2(c_3(c_3(c_0(c_0(c_3(c_0(c_2(x1)))))))))))))))))) -> 0'(2'(0'(0'(3'(1'(1'(2'(3'(0'(2'(0'(0'(3'(0'(0'(0'(2'(x1)))))))))))))))))) [1]
   3'(c_1(c_0(c_2(c_1(c_0(c_1(c_0(c_1(c_0(c_2(c_2(c_0(c_2(c_3(c_3(c_2(c_2(x1)))))))))))))))))) -> 0'(3'(0'(0'(0'(2'(3'(2'(1'(3'(0'(2'(2'(1'(1'(1'(2'(2'(x1)))))))))))))))))) [1]
   3'(c_0(c_1(c_0(c_2(c_3(c_2(c_0(c_1(c_0(c_1(c_2(c_3(c_1(c_2(c_0(c_1(c_2(x1)))))))))))))))))) -> 3'(0'(1'(1'(1'(1'(2'(2'(3'(0'(1'(2'(0'(3'(0'(2'(0'(2'(x1)))))))))))))))))) [1]
   3'(c_2(c_0(c_3(c_0(c_1(c_1(c_0(c_2(c_3(c_0(c_3(c_0(c_0(c_1(c_0(c_2(c_0(x1)))))))))))))))))) -> 3'(2'(0'(0'(1'(1'(1'(0'(0'(3'(3'(2'(3'(0'(0'(0'(2'(0'(x1)))))))))))))))))) [1]
   1'(c_3(c_1(c_3(c_2(c_2(c_0(c_0(c_0(c_0(c_1(c_3(c_2(c_0(c_1(c_3(c_3(c_0(x1)))))))))))))))))) -> 1'(2'(0'(0'(0'(0'(0'(3'(1'(3'(3'(3'(2'(1'(2'(3'(1'(0'(x1)))))))))))))))))) [1]
   0'(c_0(c_3(c_2(c_0(c_0(c_1(c_0(c_1(c_3(c_2(c_3(c_2(c_2(c_2(c_0(c_1(c_1(x1)))))))))))))))))) -> 2'(0'(0'(1'(3'(1'(2'(1'(2'(0'(3'(2'(0'(0'(3'(0'(1'(2'(x1)))))))))))))))))) [1]
   1'(c_1(c_2(c_0(c_2(c_2(c_1(c_2(c_3(c_2(c_3(c_1(c_0(c_0(c_1(c_3(c_0(c_2(x1)))))))))))))))))) -> 1'(2'(2'(1'(1'(2'(0'(3'(1'(0'(3'(1'(0'(2'(2'(3'(0'(2'(x1)))))))))))))))))) [1]
   2'(c_0(c_2(c_0(c_0(c_1(c_1(c_1(c_3(c_1(c_1(c_3(c_2(c_3(c_1(c_3(c_2(c_3(x1)))))))))))))))))) -> 2'(0'(1'(1'(1'(0'(3'(1'(2'(1'(0'(1'(2'(3'(3'(3'(2'(3'(x1)))))))))))))))))) [1]
   1'(c_0(c_3(c_2(c_3(c_2(c_2(c_0(c_3(c_2(c_2(c_1(c_1(c_0(c_3(c_2(c_3(c_3(x1)))))))))))))))))) -> 1'(2'(3'(0'(2'(2'(3'(0'(2'(3'(2'(1'(3'(1'(2'(0'(3'(3'(x1)))))))))))))))))) [1]
   3'(c_2(c_2(c_0(c_2(c_3(c_0(c_1(c_0(c_3(c_1(c_3(c_3(c_1(c_3(c_1(c_2(c_3(x1)))))))))))))))))) -> 3'(2'(0'(3'(1'(2'(0'(3'(3'(1'(1'(1'(0'(2'(3'(2'(3'(3'(x1)))))))))))))))))) [1]
   1'(c_1(c_0(c_1(c_1(c_3(c_2(c_0(c_2(c_1(c_2(c_2(c_1(c_2(c_3(c_1(c_1(c_1(x1)))))))))))))))))) -> 1'(1'(0'(3'(2'(3'(1'(2'(1'(2'(0'(2'(2'(1'(1'(1'(1'(1'(x1)))))))))))))))))) [1]
   2'(c_3(c_1(c_0(c_0(c_3(c_1(c_0(c_1(c_3(c_0(c_1(c_2(c_2(c_2(c_2(c_0(c_2(x1)))))))))))))))))) -> 2'(0'(2'(0'(0'(1'(1'(2'(3'(1'(1'(0'(2'(3'(2'(3'(0'(2'(x1)))))))))))))))))) [1]
   1'(c_3(c_2(c_3(c_0(c_3(c_3(c_3(c_1(c_3(c_3(c_1(c_3(c_3(c_3(c_2(c_2(c_0(x1)))))))))))))))))) -> 1'(3'(3'(3'(1'(1'(0'(2'(3'(3'(3'(3'(3'(2'(0'(3'(2'(3'(x1)))))))))))))))))) [1]
   3'(c_0(c_3(c_0(c_3(c_2(c_2(c_3(c_2(c_1(c_0(c_2(c_3(c_1(c_2(c_3(c_3(c_0(x1)))))))))))))))))) -> 3'(1'(2'(1'(2'(3'(2'(0'(2'(3'(2'(0'(0'(3'(3'(3'(3'(0'(x1)))))))))))))))))) [1]
   3'(c_1(c_1(c_0(c_1(c_0(c_3(c_1(c_1(c_2(c_1(c_3(c_0(c_3(c_3(c_1(c_0(c_3(x1)))))))))))))))))) -> 3'(1'(1'(1'(3'(1'(1'(1'(0'(3'(0'(0'(1'(2'(3'(3'(0'(3'(x1)))))))))))))))))) [1]
   0'(c_2(c_2(c_2(c_2(c_2(c_1(c_3(c_1(c_0(c_1(c_2(c_3(c_2(c_0(c_1(c_1(c_2(x1)))))))))))))))))) -> 2'(1'(2'(1'(2'(3'(2'(1'(2'(1'(2'(0'(0'(2'(0'(1'(3'(2'(x1)))))))))))))))))) [1]
   0'(c_0(c_2(c_1(c_0(c_0(c_1(c_0(c_1(c_0(c_3(c_1(c_3(c_3(c_2(c_0(c_1(c_1(x1)))))))))))))))))) -> 3'(0'(0'(2'(0'(1'(1'(0'(2'(0'(3'(1'(0'(1'(0'(3'(1'(1'(x1)))))))))))))))))) [1]
   0'(c_0(c_0(c_1(c_3(c_2(c_2(c_3(c_0(c_2(c_2(c_0(c_1(c_0(c_0(c_0(c_1(c_2(x1)))))))))))))))))) -> 0'(3'(0'(0'(3'(0'(2'(1'(2'(1'(0'(0'(1'(2'(0'(2'(0'(2'(x1)))))))))))))))))) [1]
   0'(c_2(c_2(c_1(c_3(c_0(c_0(c_1(c_3(c_0(c_1(c_0(c_3(c_3(c_2(c_0(c_1(c_3(x1)))))))))))))))))) -> 3'(0'(1'(3'(3'(0'(0'(0'(0'(2'(1'(2'(0'(3'(1'(2'(1'(3'(x1)))))))))))))))))) [1]
   1'(c_3(c_3(c_1(c_1(c_3(c_0(c_2(c_0(c_1(c_3(c_1(c_3(c_0(c_3(c_2(c_2(c_1(x1)))))))))))))))))) -> 1'(3'(3'(3'(0'(1'(1'(2'(0'(3'(1'(1'(2'(3'(3'(0'(2'(1'(x1)))))))))))))))))) [1]
   0'(c_2(c_3(c_1(c_3(c_3(c_1(c_3(c_2(c_3(c_2(c_2(c_1(c_0(c_1(c_1(c_1(c_1(x1)))))))))))))))))) -> 1'(0'(3'(3'(3'(3'(1'(1'(2'(2'(3'(1'(2'(1'(2'(0'(1'(1'(x1)))))))))))))))))) [1]
   1'(c_0(c_0(c_0(c_1(c_3(c_2(c_2(c_2(c_2(c_2(c_3(c_1(c_3(c_1(c_1(c_1(c_1(x1)))))))))))))))))) -> 1'(2'(1'(1'(3'(2'(0'(1'(0'(2'(1'(0'(2'(3'(1'(2'(3'(1'(x1)))))))))))))))))) [1]
   3'(c_0(c_1(c_0(c_0(c_2(c_1(c_0(c_1(c_3(c_2(c_1(c_1(c_3(c_3(c_0(c_1(c_1(x1)))))))))))))))))) -> 3'(0'(0'(2'(3'(1'(1'(1'(0'(1'(3'(0'(1'(0'(3'(2'(1'(1'(x1)))))))))))))))))) [1]
   3'(c_2(c_3(c_2(c_2(c_2(c_0(c_2(c_3(c_0(c_1(c_2(c_3(c_0(c_1(c_1(c_0(c_2(x1)))))))))))))))))) -> 3'(2'(2'(3'(3'(0'(3'(1'(2'(2'(0'(1'(0'(0'(2'(2'(1'(2'(x1)))))))))))))))))) [1]
   1'(c_1(c_0(c_0(c_3(c_2(c_2(c_2(c_2(c_0(c_3(c_2(c_2(c_0(c_0(c_1(c_0(c_0(x1)))))))))))))))))) -> 1'(3'(3'(0'(0'(2'(0'(1'(2'(2'(2'(0'(2'(1'(0'(2'(0'(0'(x1)))))))))))))))))) [1]
   3'(c_0(c_1(c_0(c_0(c_0(c_0(c_3(c_3(c_2(c_0(c_0(c_1(c_0(c_0(c_2(c_2(c_2(x1)))))))))))))))))) -> 0'(2'(0'(3'(0'(0'(2'(0'(3'(3'(0'(0'(0'(2'(1'(0'(1'(2'(x1)))))))))))))))))) [1]
   1'(c_0(c_1(c_0(c_1(c_3(c_0(c_2(c_3(c_0(c_1(c_3(c_3(c_2(c_1(c_0(c_1(c_3(x1)))))))))))))))))) -> 1'(3'(3'(2'(1'(2'(0'(1'(3'(1'(3'(0'(0'(0'(1'(0'(1'(3'(x1)))))))))))))))))) [1]
   0'(c_1(c_1(c_0(c_0(c_2(c_2(c_0(c_3(c_2(c_1(c_0(c_3(c_1(c_1(c_0(c_2(c_2(x1)))))))))))))))))) -> 0'(0'(0'(2'(1'(2'(0'(1'(1'(2'(1'(0'(3'(3'(1'(0'(2'(2'(x1)))))))))))))))))) [1]
   0'(c_1(c_0(c_1(c_0(c_3(c_0(c_1(c_3(c_1(c_3(c_0(c_1(c_0(c_1(c_3(c_2(c_1(x1)))))))))))))))))) -> 0'(1'(2'(0'(3'(1'(0'(0'(1'(1'(0'(1'(3'(1'(0'(3'(3'(1'(x1)))))))))))))))))) [1]
   2'(c_1(c_3(c_3(c_2(c_1(c_2(c_3(c_1(c_3(c_3(c_1(c_2(c_1(c_2(c_2(c_0(c_3(x1)))))))))))))))))) -> 2'(2'(1'(1'(1'(2'(2'(2'(1'(2'(1'(0'(3'(3'(3'(3'(3'(3'(x1)))))))))))))))))) [1]
   0'(c_2(c_2(c_2(c_3(c_3(c_0(c_1(c_3(c_1(c_1(c_1(c_0(c_1(c_3(c_2(c_0(c_2(x1)))))))))))))))))) -> 2'(1'(1'(0'(3'(3'(0'(1'(3'(1'(2'(3'(2'(0'(1'(2'(0'(2'(x1)))))))))))))))))) [1]
   1'(c_0(c_1(c_1(c_3(c_2(c_1(c_1(c_0(c_0(c_0(c_1(c_3(c_0(c_0(c_0(c_1(c_0(x1)))))))))))))))))) -> 1'(3'(1'(1'(1'(0'(1'(3'(0'(0'(0'(0'(1'(1'(0'(0'(2'(0'(x1)))))))))))))))))) [1]
   1'(c_0(c_2(c_3(c_0(c_1(c_0(c_2(c_0(c_1(c_0(c_3(c_1(c_2(c_2(c_2(c_3(c_1(x1)))))))))))))))))) -> 1'(0'(3'(0'(0'(0'(2'(2'(3'(3'(1'(2'(0'(1'(2'(1'(2'(1'(x1)))))))))))))))))) [1]
   1'(c_2(c_2(c_1(c_2(c_2(c_1(c_0(c_1(c_2(c_1(c_1(c_0(c_2(c_3(c_2(c_2(c_0(x1)))))))))))))))))) -> 1'(2'(1'(2'(2'(1'(2'(1'(0'(1'(2'(2'(0'(2'(3'(1'(2'(0'(x1)))))))))))))))))) [1]
   0'(c_0(c_1(c_3(c_2(c_1(c_0(c_1(c_2(c_2(c_1(c_1(c_1(c_1(c_2(c_3(c_2(c_2(x1)))))))))))))))))) -> 0'(1'(1'(1'(2'(1'(2'(1'(3'(2'(3'(0'(1'(2'(0'(1'(2'(2'(x1)))))))))))))))))) [1]
   0'(c_2(c_2(c_0(c_3(c_1(c_3(c_1(c_3(c_3(c_1(c_2(c_1(c_0(c_0(c_2(c_0(c_1(x1)))))))))))))))))) -> 0'(2'(0'(1'(1'(2'(3'(3'(1'(1'(3'(0'(2'(0'(2'(0'(3'(1'(x1)))))))))))))))))) [1]
   3'(c_0(c_0(c_1(c_3(c_1(c_0(c_2(c_3(c_3(c_1(c_3(c_3(c_3(c_3(c_2(c_1(c_0(x1)))))))))))))))))) -> 3'(0'(3'(1'(1'(2'(2'(1'(3'(0'(3'(3'(0'(3'(3'(3'(1'(0'(x1)))))))))))))))))) [1]
   0'(c_2(c_3(c_1(c_3(c_2(c_3(c_1(c_1(c_0(c_2(c_3(c_2(c_1(c_0(c_0(c_1(c_2(x1)))))))))))))))))) -> 0'(2'(3'(3'(2'(3'(2'(0'(1'(2'(0'(1'(1'(1'(0'(3'(1'(2'(x1)))))))))))))))))) [1]
   1'(c_1(c_1(c_0(c_1(c_1(c_3(c_2(c_3(c_0(c_0(c_3(c_3(c_3(c_2(c_2(c_2(c_1(x1)))))))))))))))))) -> 1'(0'(3'(0'(0'(3'(3'(1'(2'(3'(1'(2'(1'(1'(2'(3'(1'(2'(x1)))))))))))))))))) [1]
   1'(c_1(c_3(c_3(c_2(c_1(c_1(c_1(c_3(c_3(c_1(c_1(c_0(c_2(c_0(c_2(c_1(c_2(x1)))))))))))))))))) -> 1'(1'(2'(3'(1'(3'(0'(1'(1'(1'(2'(3'(0'(2'(3'(1'(1'(2'(x1)))))))))))))))))) [1]
   0'(c_2(c_3(c_2(c_1(c_1(c_3(c_3(c_1(c_3(c_0(c_1(c_0(c_1(c_1(c_3(c_2(c_1(x1)))))))))))))))))) -> 0'(2'(3'(1'(2'(1'(1'(1'(2'(0'(3'(3'(3'(3'(0'(1'(1'(1'(x1)))))))))))))))))) [1]
   0'(c_0(c_1(c_1(c_3(c_2(c_3(c_2(c_3(c_2(c_0(c_0(c_2(c_3(c_2(c_3(c_1(c_0(x1)))))))))))))))))) -> 2'(3'(0'(2'(1'(2'(3'(1'(2'(3'(0'(3'(3'(1'(0'(2'(0'(0'(x1)))))))))))))))))) [1]
   3'(c_2(c_2(c_1(c_3(c_1(c_2(c_2(c_3(c_3(c_0(c_2(c_1(c_0(c_1(c_3(c_2(c_1(x1)))))))))))))))))) -> 3'(2'(3'(1'(1'(2'(3'(0'(2'(1'(3'(1'(1'(2'(3'(0'(2'(2'(x1)))))))))))))))))) [1]
   2'(c_1(c_0(c_2(c_1(c_0(c_0(c_1(c_1(c_2(c_2(c_2(c_2(c_2(c_2(c_2(c_2(c_1(x1)))))))))))))))))) -> 2'(0'(0'(1'(2'(2'(2'(1'(2'(2'(2'(0'(1'(2'(1'(2'(2'(1'(x1)))))))))))))))))) [1]
   3'(c_2(c_2(c_2(c_2(c_2(c_1(c_0(c_0(c_1(c_3(c_2(c_3(c_1(c_3(c_3(c_2(c_1(x1)))))))))))))))))) -> 3'(2'(3'(1'(0'(2'(2'(2'(1'(3'(3'(2'(1'(0'(2'(2'(3'(1'(x1)))))))))))))))))) [1]
   3'(c_1(c_2(c_2(c_3(c_1(c_0(c_1(c_1(c_1(c_1(c_3(c_2(c_1(c_1(c_1(c_3(c_1(x1)))))))))))))))))) -> 3'(1'(1'(2'(2'(3'(1'(1'(0'(1'(2'(1'(1'(3'(1'(1'(3'(1'(x1)))))))))))))))))) [1]
   3'(c_3(c_1(c_3(c_3(c_2(c_1(c_3(c_2(c_3(c_3(c_2(c_3(c_1(c_3(c_2(c_3(c_1(x1)))))))))))))))))) -> 3'(1'(3'(1'(2'(2'(3'(3'(3'(3'(3'(3'(3'(2'(2'(1'(3'(1'(x1)))))))))))))))))) [1]
   3'(c_0(c_0(c_1(c_3(c_2(c_2(c_1(c_3(c_3(c_0(c_1(c_2(c_1(c_0(c_3(c_1(c_2(x1)))))))))))))))))) -> 3'(0'(1'(1'(3'(3'(0'(2'(3'(1'(2'(1'(3'(0'(2'(0'(1'(2'(x1)))))))))))))))))) [1]
   0'(c_0(c_2(c_0(c_3(c_2(c_2(c_3(c_3(c_1(c_3(c_2(c_1(c_1(c_3(c_0(c_0(c_1(x1)))))))))))))))))) -> 0'(0'(3'(1'(1'(0'(3'(2'(2'(0'(2'(3'(3'(1'(2'(3'(0'(1'(x1)))))))))))))))))) [1]
   0'(c_3(c_1(c_0(c_0(c_3(c_0(c_0(c_1(c_0(c_3(c_2(c_1(c_3(c_0(c_0(c_1(c_2(x1)))))))))))))))))) -> 0'(0'(3'(1'(1'(3'(1'(0'(0'(2'(1'(0'(3'(0'(0'(0'(3'(2'(x1)))))))))))))))))) [1]
   0'(c_3(c_0(c_1(c_3(c_1(c_3(c_2(c_0(c_1(c_0(c_1(c_0(c_0(c_3(c_1(c_1(c_3(x1)))))))))))))))))) -> 0'(3'(2'(0'(3'(1'(3'(1'(1'(0'(3'(0'(0'(1'(0'(1'(1'(3'(x1)))))))))))))))))) [1]
   3'(c_2(c_1(c_0(c_1(c_0(c_1(c_3(c_0(c_1(c_2(c_3(c_0(c_0(c_1(c_3(c_0(c_1(x1)))))))))))))))))) -> 3'(0'(0'(3'(0'(3'(3'(0'(0'(1'(1'(0'(1'(2'(1'(2'(1'(1'(x1)))))))))))))))))) [1]
   0'(c_0(c_3(c_3(c_1(c_3(c_3(c_0(c_1(c_3(c_2(c_3(c_3(c_3(c_0(c_3(c_3(c_3(x1)))))))))))))))))) -> 0'(3'(0'(3'(3'(1'(3'(0'(3'(3'(3'(1'(3'(0'(3'(2'(3'(3'(x1)))))))))))))))))) [1]
   3'(c_0(c_1(c_0(c_2(c_1(c_0(c_0(c_0(c_0(c_1(c_1(c_3(c_2(c_2(c_3(c_0(c_1(x1)))))))))))))))))) -> 3'(0'(0'(3'(0'(3'(2'(1'(1'(0'(0'(0'(2'(1'(1'(1'(0'(2'(x1)))))))))))))))))) [1]
   3'(c_3(c_2(c_2(c_3(c_0(c_1(c_3(c_3(c_3(c_0(c_0(c_0(c_2(c_0(c_2(c_3(c_0(x1)))))))))))))))))) -> 3'(3'(3'(0'(3'(2'(0'(2'(3'(0'(2'(2'(0'(1'(3'(0'(3'(0'(x1)))))))))))))))))) [1]
   3'(c_2(c_0(c_1(c_2(c_3(c_2(c_2(c_1(c_3(c_0(c_3(c_3(c_1(c_3(c_3(c_2(c_2(x1)))))))))))))))))) -> 3'(2'(0'(1'(2'(0'(1'(3'(3'(2'(3'(3'(3'(3'(1'(2'(2'(2'(x1)))))))))))))))))) [1]
   2'(c_3(c_0(c_1(c_0(c_0(c_3(c_1(c_0(c_3(c_2(c_3(c_2(c_2(c_2(c_3(c_3(c_2(x1)))))))))))))))))) -> 2'(3'(2'(3'(0'(0'(2'(2'(2'(1'(1'(0'(3'(2'(0'(3'(3'(3'(x1)))))))))))))))))) [1]
   1'(c_0(c_3(c_0(c_2(c_0(c_3(c_0(c_1(c_1(c_2(c_3(c_0(c_1(c_3(c_2(c_0(c_3(x1)))))))))))))))))) -> 1'(0'(2'(1'(0'(1'(0'(2'(0'(3'(3'(3'(1'(2'(0'(0'(3'(3'(x1)))))))))))))))))) [1]
   2'(c_2(c_3(c_1(c_0(c_3(c_2(c_2(c_2(c_2(c_3(c_1(c_3(c_3(c_0(c_2(c_3(c_2(x1)))))))))))))))))) -> 2'(2'(3'(0'(3'(1'(2'(3'(3'(3'(0'(2'(1'(2'(2'(3'(2'(2'(x1)))))))))))))))))) [1]
   2'(c_1(c_1(c_3(c_2(c_0(c_0(c_0(c_2(c_1(c_0(c_2(c_2(c_3(c_2(c_3(c_2(c_0(x1)))))))))))))))))) -> 2'(0'(0'(2'(0'(2'(2'(1'(2'(1'(2'(3'(0'(3'(2'(3'(1'(0'(x1)))))))))))))))))) [1]
   0'(c_0(c_2(c_0(c_1(c_1(c_2(c_0(c_1(c_0(c_1(c_0(c_1(c_0(c_2(c_3(c_2(c_0(x1)))))))))))))))))) -> 0'(0'(0'(2'(2'(2'(0'(3'(0'(1'(1'(1'(1'(1'(0'(0'(2'(0'(x1)))))))))))))))))) [1]
   3'(c_1(c_0(c_3(c_2(c_1(c_0(c_3(c_0(c_2(c_3(c_2(c_3(c_0(c_1(c_3(c_3(c_2(x1)))))))))))))))))) -> 3'(1'(0'(3'(1'(3'(3'(3'(0'(2'(3'(0'(3'(2'(2'(0'(1'(2'(x1)))))))))))))))))) [1]
   3'(c_3(c_1(c_3(c_0(c_2(c_3(c_3(c_3(c_1(c_0(c_0(c_2(c_2(c_0(c_2(c_0(c_1(x1)))))))))))))))))) -> 3'(0'(0'(2'(0'(0'(3'(0'(3'(3'(2'(1'(2'(1'(2'(3'(3'(1'(x1)))))))))))))))))) [1]
   1'(c_1(c_1(c_0(c_1(c_1(c_2(c_2(c_2(c_1(c_0(c_1(c_1(c_1(c_3(c_3(c_0(c_3(x1)))))))))))))))))) -> 1'(2'(0'(3'(1'(1'(1'(0'(1'(2'(1'(2'(1'(1'(1'(3'(0'(3'(x1)))))))))))))))))) [1]
   1'(c_0(c_1(c_3(c_2(c_0(c_2(c_1(c_3(c_3(c_2(c_1(c_3(c_2(c_2(c_0(c_1(c_2(x1)))))))))))))))))) -> 1'(3'(1'(2'(1'(3'(3'(1'(0'(0'(0'(2'(1'(3'(2'(2'(2'(2'(x1)))))))))))))))))) [1]
   1'(c_1(c_3(c_3(c_1(c_0(c_2(c_3(c_2(c_1(c_3(c_2(c_0(c_1(c_1(c_1(c_1(c_1(x1)))))))))))))))))) -> 1'(3'(1'(1'(1'(1'(1'(2'(1'(1'(3'(0'(3'(3'(0'(2'(2'(1'(x1)))))))))))))))))) [1]
   0'(c_0(c_3(c_1(c_0(c_0(c_2(c_2(c_0(c_0(c_0(c_2(c_2(c_3(c_2(c_2(c_2(c_0(x1)))))))))))))))))) -> 0'(0'(2'(0'(2'(0'(0'(2'(2'(0'(2'(3'(1'(3'(0'(2'(2'(0'(x1)))))))))))))))))) [1]
   1'(c_3(c_0(c_1(c_3(c_2(c_2(c_2(c_2(c_1(c_0(c_0(c_1(c_2(c_2(c_0(c_0(c_1(x1)))))))))))))))))) -> 1'(2'(2'(1'(1'(2'(1'(2'(0'(0'(3'(1'(2'(0'(0'(0'(3'(2'(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_2(c_0(c_3(c_2(c_1(c_0(x1)))))))))))))))))) -> 3'(3'(1'(0'(0'(2'(1'(1'(1'(2'(3'(1'(1'(2'(0'(0'(3'(0'(x1)))))))))))))))))) [1]
   1'(c_3(c_1(c_2(c_2(c_2(c_1(c_3(c_3(c_0(c_1(c_1(c_0(c_0(c_2(c_2(c_3(c_2(x1)))))))))))))))))) -> 1'(2'(2'(3'(0'(2'(3'(0'(3'(2'(3'(1'(1'(0'(1'(2'(1'(2'(x1)))))))))))))))))) [1]
   3'(c_2(c_2(c_2(c_2(c_3(c_3(c_1(c_3(c_1(c_1(c_3(c_3(c_1(c_2(c_2(c_3(c_2(x1)))))))))))))))))) -> 3'(2'(3'(2'(3'(1'(2'(3'(1'(2'(3'(3'(2'(3'(2'(1'(1'(2'(x1)))))))))))))))))) [1]
   encArg(cons_0(x_1)) -> 0'(encArg(x_1)) [0]
   encArg(cons_1(x_1)) -> 1'(encArg(x_1)) [0]
   encArg(cons_2(x_1)) -> 2'(encArg(x_1)) [0]
   encArg(cons_3(x_1)) -> 3'(encArg(x_1)) [0]
   encode_0(x_1) -> 0'(encArg(x_1)) [0]
   encode_1(x_1) -> 1'(encArg(x_1)) [0]
   encode_3(x_1) -> 3'(encArg(x_1)) [0]
   encode_2(x_1) -> 2'(encArg(x_1)) [0]
   0'(x0) -> c_0(x0) [0]
   1'(x0) -> c_1(x0) [0]
   2'(x0) -> c_2(x0) [0]
   3'(x0) -> c_3(x0) [0]
   encArg(v0) -> const [0]
   encode_0(v0) -> const [0]
   encode_1(v0) -> const [0]
   encode_3(v0) -> const [0]
   encode_2(v0) -> const [0]
   0'(v0) -> const [0]
   1'(v0) -> const [0]
   2'(v0) -> const [0]
   3'(v0) -> const [0]

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

   3'(c_3(c_1(c_2(c_1(c_3(c_2(c_2(c_1(c_2(c_1(c_2(c_2(c_0(c_3(c_2(c_1(c_0(x1)))))))))))))))))) -> 3'(0'(2'(1'(2'(1'(2'(2'(3'(1'(2'(0'(2'(1'(1'(2'(3'(3'(x1)))))))))))))))))) [1]
   3'(c_3(c_0(c_2(c_0(c_1(c_3(c_1(c_0(c_2(c_2(c_2(c_2(c_0(c_3(c_3(c_1(c_0(x1)))))))))))))))))) -> 3'(3'(2'(0'(3'(1'(0'(2'(1'(2'(3'(0'(1'(0'(2'(3'(2'(0'(x1)))))))))))))))))) [1]
   0'(c_2(c_3(c_3(c_2(c_1(c_3(c_0(c_1(c_3(c_1(c_3(c_3(c_0(c_2(c_1(c_0(c_1(x1)))))))))))))))))) -> 0'(2'(3'(3'(0'(3'(1'(0'(2'(3'(1'(0'(3'(3'(2'(1'(1'(1'(x1)))))))))))))))))) [1]
   2'(c_0(c_2(c_2(c_3(c_2(c_0(c_2(c_0(c_1(c_1(c_3(c_1(c_3(c_3(c_3(c_2(c_0(x1)))))))))))))))))) -> 2'(3'(1'(2'(1'(2'(0'(2'(2'(1'(0'(0'(3'(3'(2'(0'(3'(3'(x1)))))))))))))))))) [1]
   2'(c_1(c_0(c_0(c_2(c_2(c_2(c_0(c_1(c_3(c_1(c_3(c_2(c_3(c_2(c_1(c_1(c_2(c_0(c_2(c_2(c_3(c_2(c_0(c_2(c_0(c_1(c_1(c_3(c_1(c_3(c_3(c_3(c_2(c_0(x195))))))))))))))))))))))))))))))))))) -> 2'(2'(0'(0'(3'(0'(2'(2'(1'(2'(3'(1'(2'(3'(1'(1'(1'(2'(3'(1'(2'(1'(2'(0'(2'(2'(1'(0'(0'(3'(3'(2'(0'(3'(3'(x195))))))))))))))))))))))))))))))))))) [2]
   2'(c_1(c_0(c_0(c_2(c_2(c_2(c_0(c_1(c_3(c_1(c_3(c_2(c_3(c_2(c_1(c_1(c_2(c_1(c_0(c_0(c_2(c_2(c_2(c_0(c_1(c_3(c_1(c_3(c_2(c_3(c_2(c_1(c_1(c_2(x196))))))))))))))))))))))))))))))))))) -> 2'(2'(0'(0'(3'(0'(2'(2'(1'(2'(3'(1'(2'(3'(1'(1'(1'(2'(2'(0'(0'(3'(0'(2'(2'(1'(2'(3'(1'(2'(3'(1'(1'(1'(2'(x196))))))))))))))))))))))))))))))))))) [2]
   2'(c_1(c_0(c_0(c_2(c_2(c_2(c_0(c_1(c_3(c_1(c_3(c_2(c_3(c_2(c_1(c_1(c_2(c_0(c_2(c_0(c_0(c_1(c_1(c_1(c_3(c_1(c_1(c_3(c_2(c_3(c_1(c_3(c_2(c_3(x197))))))))))))))))))))))))))))))))))) -> 2'(2'(0'(0'(3'(0'(2'(2'(1'(2'(3'(1'(2'(3'(1'(1'(1'(2'(0'(1'(1'(1'(0'(3'(1'(2'(1'(0'(1'(2'(3'(3'(3'(2'(3'(x197))))))))))))))))))))))))))))))))))) [2]
   2'(c_1(c_0(c_0(c_2(c_2(c_2(c_0(c_1(c_3(c_1(c_3(c_2(c_3(c_2(c_1(c_1(c_2(c_3(c_1(c_0(c_0(c_3(c_1(c_0(c_1(c_3(c_0(c_1(c_2(c_2(c_2(c_2(c_0(c_2(x198))))))))))))))))))))))))))))))))))) -> 2'(2'(0'(0'(3'(0'(2'(2'(1'(2'(3'(1'(2'(3'(1'(1'(1'(2'(0'(2'(0'(0'(1'(1'(2'(3'(1'(1'(0'(2'(3'(2'(3'(0'(2'(x198))))))))))))))))))))))))))))))))))) [2]
   2'(c_1(c_0(c_0(c_2(c_2(c_2(c_0(c_1(c_3(c_1(c_3(c_2(c_3(c_2(c_1(c_1(c_2(c_1(c_3(c_3(c_2(c_1(c_2(c_3(c_1(c_3(c_3(c_1(c_2(c_1(c_2(c_2(c_0(c_3(x199))))))))))))))))))))))))))))))))))) -> 2'(2'(0'(0'(3'(0'(2'(2'(1'(2'(3'(1'(2'(3'(1'(1'(1'(2'(2'(1'(1'(1'(2'(2'(2'(1'(2'(1'(0'(3'(3'(3'(3'(3'(3'(x199))))))))))))))))))))))))))))))))))) [2]
   2'(c_1(c_0(c_0(c_2(c_2(c_2(c_0(c_1(c_3(c_1(c_3(c_2(c_3(c_2(c_1(c_1(c_2(c_1(c_0(c_2(c_1(c_0(c_0(c_1(c_1(c_2(c_2(c_2(c_2(c_2(c_2(c_2(c_2(c_1(x1100))))))))))))))))))))))))))))))))))) -> 2'(2'(0'(0'(3'(0'(2'(2'(1'(2'(3'(1'(2'(3'(1'(1'(1'(2'(0'(0'(1'(2'(2'(2'(1'(2'(2'(2'(0'(1'(2'(1'(2'(2'(1'(x1100))))))))))))))))))))))))))))))))))) [2]
   2'(c_1(c_0(c_0(c_2(c_2(c_2(c_0(c_1(c_3(c_1(c_3(c_2(c_3(c_2(c_1(c_1(c_2(c_3(c_0(c_1(c_0(c_0(c_3(c_1(c_0(c_3(c_2(c_3(c_2(c_2(c_2(c_3(c_3(c_2(x1101))))))))))))))))))))))))))))))))))) -> 2'(2'(0'(0'(3'(0'(2'(2'(1'(2'(3'(1'(2'(3'(1'(1'(1'(2'(3'(2'(3'(0'(0'(2'(2'(2'(1'(1'(0'(3'(2'(0'(3'(3'(3'(x1101))))))))))))))))))))))))))))))))))) [2]
   2'(c_1(c_0(c_0(c_2(c_2(c_2(c_0(c_1(c_3(c_1(c_3(c_2(c_3(c_2(c_1(c_1(c_2(c_2(c_3(c_1(c_0(c_3(c_2(c_2(c_2(c_2(c_3(c_1(c_3(c_3(c_0(c_2(c_3(c_2(x1102))))))))))))))))))))))))))))))))))) -> 2'(2'(0'(0'(3'(0'(2'(2'(1'(2'(3'(1'(2'(3'(1'(1'(1'(2'(2'(3'(0'(3'(1'(2'(3'(3'(3'(0'(2'(1'(2'(2'(3'(2'(2'(x1102))))))))))))))))))))))))))))))))))) [2]
   2'(c_1(c_0(c_0(c_2(c_2(c_2(c_0(c_1(c_3(c_1(c_3(c_2(c_3(c_2(c_1(c_1(c_2(c_1(c_1(c_3(c_2(c_0(c_0(c_0(c_2(c_1(c_0(c_2(c_2(c_3(c_2(c_3(c_2(c_0(x1103))))))))))))))))))))))))))))))))))) -> 2'(2'(0'(0'(3'(0'(2'(2'(1'(2'(3'(1'(2'(3'(1'(1'(1'(2'(0'(0'(2'(0'(2'(2'(1'(2'(1'(2'(3'(0'(3'(2'(3'(1'(0'(x1103))))))))))))))))))))))))))))))))))) [2]
   2'(c_1(c_0(c_0(c_2(c_2(c_2(c_0(c_1(c_3(c_1(c_3(c_2(c_3(c_2(c_1(c_1(c_2(x1)))))))))))))))))) -> 2'(2'(0'(0'(3'(0'(2'(2'(1'(2'(3'(1'(2'(3'(1'(1'(1'(c_2(x1)))))))))))))))))) [1]
   2'(c_1(c_0(c_0(c_2(c_2(c_2(c_0(c_1(c_3(c_1(c_3(c_2(c_3(c_2(c_1(c_1(c_2(x1)))))))))))))))))) -> 2'(2'(0'(0'(3'(0'(2'(2'(1'(2'(3'(1'(2'(3'(1'(1'(1'(const))))))))))))))))) [1]
   0'(c_3(c_1(c_0(c_2(c_2(c_1(c_0(c_1(c_1(c_0(c_0(c_3(c_1(c_2(c_2(c_3(c_0(x1)))))))))))))))))) -> 0'(3'(1'(1'(0'(3'(2'(0'(2'(1'(2'(2'(0'(3'(1'(1'(0'(0'(x1)))))))))))))))))) [1]
   0'(c_1(c_0(c_3(c_2(c_2(c_3(c_2(c_0(c_1(c_1(c_1(c_1(c_0(c_1(c_0(c_1(c_1(x1)))))))))))))))))) -> 1'(2'(3'(1'(1'(0'(0'(1'(1'(3'(0'(0'(2'(0'(2'(1'(1'(1'(x1)))))))))))))))))) [1]
   0'(c_2(c_0(c_2(c_2(c_1(c_1(c_0(c_2(c_0(c_0(c_0(c_1(c_0(c_3(c_0(c_2(c_0(x1)))))))))))))))))) -> 0'(2'(1'(1'(1'(0'(2'(0'(2'(0'(0'(0'(0'(3'(2'(0'(2'(0'(x1)))))))))))))))))) [1]
   1'(c_0(c_0(c_0(c_3(c_0(c_2(c_3(c_1(c_2(c_3(c_1(c_1(c_2(c_2(c_2(c_2(c_3(x1)))))))))))))))))) -> 1'(3'(0'(2'(1'(2'(0'(1'(2'(0'(0'(2'(2'(1'(3'(3'(2'(3'(x1)))))))))))))))))) [1]
   0'(c_0(c_2(c_0(c_0(c_0(c_1(c_1(c_0(c_2(c_2(c_3(c_3(c_0(c_0(c_3(c_0(c_2(c_0(c_2(c_2(c_3(c_2(c_0(c_2(c_0(c_1(c_1(c_3(c_1(c_3(c_3(c_3(c_2(c_0(x1200))))))))))))))))))))))))))))))))))) -> 0'(2'(0'(0'(3'(1'(1'(2'(3'(0'(2'(0'(0'(3'(0'(0'(0'(2'(3'(1'(2'(1'(2'(0'(2'(2'(1'(0'(0'(3'(3'(2'(0'(3'(3'(x1200))))))))))))))))))))))))))))))))))) [2]
   0'(c_0(c_2(c_0(c_0(c_0(c_1(c_1(c_0(c_2(c_2(c_3(c_3(c_0(c_0(c_3(c_0(c_2(c_1(c_0(c_0(c_2(c_2(c_2(c_0(c_1(c_3(c_1(c_3(c_2(c_3(c_2(c_1(c_1(c_2(x1201))))))))))))))))))))))))))))))))))) -> 0'(2'(0'(0'(3'(1'(1'(2'(3'(0'(2'(0'(0'(3'(0'(0'(0'(2'(2'(0'(0'(3'(0'(2'(2'(1'(2'(3'(1'(2'(3'(1'(1'(1'(2'(x1201))))))))))))))))))))))))))))))))))) [2]
   0'(c_0(c_2(c_0(c_0(c_0(c_1(c_1(c_0(c_2(c_2(c_3(c_3(c_0(c_0(c_3(c_0(c_2(c_0(c_2(c_0(c_0(c_1(c_1(c_1(c_3(c_1(c_1(c_3(c_2(c_3(c_1(c_3(c_2(c_3(x1202))))))))))))))))))))))))))))))))))) -> 0'(2'(0'(0'(3'(1'(1'(2'(3'(0'(2'(0'(0'(3'(0'(0'(0'(2'(0'(1'(1'(1'(0'(3'(1'(2'(1'(0'(1'(2'(3'(3'(3'(2'(3'(x1202))))))))))))))))))))))))))))))))))) [2]
   0'(c_0(c_2(c_0(c_0(c_0(c_1(c_1(c_0(c_2(c_2(c_3(c_3(c_0(c_0(c_3(c_0(c_2(c_3(c_1(c_0(c_0(c_3(c_1(c_0(c_1(c_3(c_0(c_1(c_2(c_2(c_2(c_2(c_0(c_2(x1203))))))))))))))))))))))))))))))))))) -> 0'(2'(0'(0'(3'(1'(1'(2'(3'(0'(2'(0'(0'(3'(0'(0'(0'(2'(0'(2'(0'(0'(1'(1'(2'(3'(1'(1'(0'(2'(3'(2'(3'(0'(2'(x1203))))))))))))))))))))))))))))))))))) [2]
   0'(c_0(c_2(c_0(c_0(c_0(c_1(c_1(c_0(c_2(c_2(c_3(c_3(c_0(c_0(c_3(c_0(c_2(c_1(c_3(c_3(c_2(c_1(c_2(c_3(c_1(c_3(c_3(c_1(c_2(c_1(c_2(c_2(c_0(c_3(x1204))))))))))))))))))))))))))))))))))) -> 0'(2'(0'(0'(3'(1'(1'(2'(3'(0'(2'(0'(0'(3'(0'(0'(0'(2'(2'(1'(1'(1'(2'(2'(2'(1'(2'(1'(0'(3'(3'(3'(3'(3'(3'(x1204))))))))))))))))))))))))))))))))))) [2]
   0'(c_0(c_2(c_0(c_0(c_0(c_1(c_1(c_0(c_2(c_2(c_3(c_3(c_0(c_0(c_3(c_0(c_2(c_1(c_0(c_2(c_1(c_0(c_0(c_1(c_1(c_2(c_2(c_2(c_2(c_2(c_2(c_2(c_2(c_1(x1205))))))))))))))))))))))))))))))))))) -> 0'(2'(0'(0'(3'(1'(1'(2'(3'(0'(2'(0'(0'(3'(0'(0'(0'(2'(0'(0'(1'(2'(2'(2'(1'(2'(2'(2'(0'(1'(2'(1'(2'(2'(1'(x1205))))))))))))))))))))))))))))))))))) [2]
   0'(c_0(c_2(c_0(c_0(c_0(c_1(c_1(c_0(c_2(c_2(c_3(c_3(c_0(c_0(c_3(c_0(c_2(c_3(c_0(c_1(c_0(c_0(c_3(c_1(c_0(c_3(c_2(c_3(c_2(c_2(c_2(c_3(c_3(c_2(x1206))))))))))))))))))))))))))))))))))) -> 0'(2'(0'(0'(3'(1'(1'(2'(3'(0'(2'(0'(0'(3'(0'(0'(0'(2'(3'(2'(3'(0'(0'(2'(2'(2'(1'(1'(0'(3'(2'(0'(3'(3'(3'(x1206))))))))))))))))))))))))))))))))))) [2]
   0'(c_0(c_2(c_0(c_0(c_0(c_1(c_1(c_0(c_2(c_2(c_3(c_3(c_0(c_0(c_3(c_0(c_2(c_2(c_3(c_1(c_0(c_3(c_2(c_2(c_2(c_2(c_3(c_1(c_3(c_3(c_0(c_2(c_3(c_2(x1207))))))))))))))))))))))))))))))))))) -> 0'(2'(0'(0'(3'(1'(1'(2'(3'(0'(2'(0'(0'(3'(0'(0'(0'(2'(2'(3'(0'(3'(1'(2'(3'(3'(3'(0'(2'(1'(2'(2'(3'(2'(2'(x1207))))))))))))))))))))))))))))))))))) [2]
   0'(c_0(c_2(c_0(c_0(c_0(c_1(c_1(c_0(c_2(c_2(c_3(c_3(c_0(c_0(c_3(c_0(c_2(c_1(c_1(c_3(c_2(c_0(c_0(c_0(c_2(c_1(c_0(c_2(c_2(c_3(c_2(c_3(c_2(c_0(x1208))))))))))))))))))))))))))))))))))) -> 0'(2'(0'(0'(3'(1'(1'(2'(3'(0'(2'(0'(0'(3'(0'(0'(0'(2'(0'(0'(2'(0'(2'(2'(1'(2'(1'(2'(3'(0'(3'(2'(3'(1'(0'(x1208))))))))))))))))))))))))))))))))))) [2]
   0'(c_0(c_2(c_0(c_0(c_0(c_1(c_1(c_0(c_2(c_2(c_3(c_3(c_0(c_0(c_3(c_0(c_2(x1)))))))))))))))))) -> 0'(2'(0'(0'(3'(1'(1'(2'(3'(0'(2'(0'(0'(3'(0'(0'(0'(c_2(x1)))))))))))))))))) [1]
   0'(c_0(c_2(c_0(c_0(c_0(c_1(c_1(c_0(c_2(c_2(c_3(c_3(c_0(c_0(c_3(c_0(c_2(x1)))))))))))))))))) -> 0'(2'(0'(0'(3'(1'(1'(2'(3'(0'(2'(0'(0'(3'(0'(0'(0'(const))))))))))))))))) [1]
   3'(c_1(c_0(c_2(c_1(c_0(c_1(c_0(c_1(c_0(c_2(c_2(c_0(c_2(c_3(c_3(c_2(c_2(c_0(c_2(c_2(c_3(c_2(c_0(c_2(c_0(c_1(c_1(c_3(c_1(c_3(c_3(c_3(c_2(c_0(x1209))))))))))))))))))))))))))))))))))) -> 0'(3'(0'(0'(0'(2'(3'(2'(1'(3'(0'(2'(2'(1'(1'(1'(2'(2'(3'(1'(2'(1'(2'(0'(2'(2'(1'(0'(0'(3'(3'(2'(0'(3'(3'(x1209))))))))))))))))))))))))))))))))))) [2]
   3'(c_1(c_0(c_2(c_1(c_0(c_1(c_0(c_1(c_0(c_2(c_2(c_0(c_2(c_3(c_3(c_2(c_2(c_1(c_0(c_0(c_2(c_2(c_2(c_0(c_1(c_3(c_1(c_3(c_2(c_3(c_2(c_1(c_1(c_2(x1210))))))))))))))))))))))))))))))))))) -> 0'(3'(0'(0'(0'(2'(3'(2'(1'(3'(0'(2'(2'(1'(1'(1'(2'(2'(2'(0'(0'(3'(0'(2'(2'(1'(2'(3'(1'(2'(3'(1'(1'(1'(2'(x1210))))))))))))))))))))))))))))))))))) [2]
   3'(c_1(c_0(c_2(c_1(c_0(c_1(c_0(c_1(c_0(c_2(c_2(c_0(c_2(c_3(c_3(c_2(c_2(c_0(c_2(c_0(c_0(c_1(c_1(c_1(c_3(c_1(c_1(c_3(c_2(c_3(c_1(c_3(c_2(c_3(x1211))))))))))))))))))))))))))))))))))) -> 0'(3'(0'(0'(0'(2'(3'(2'(1'(3'(0'(2'(2'(1'(1'(1'(2'(2'(0'(1'(1'(1'(0'(3'(1'(2'(1'(0'(1'(2'(3'(3'(3'(2'(3'(x1211))))))))))))))))))))))))))))))))))) [2]
   3'(c_1(c_0(c_2(c_1(c_0(c_1(c_0(c_1(c_0(c_2(c_2(c_0(c_2(c_3(c_3(c_2(c_2(c_3(c_1(c_0(c_0(c_3(c_1(c_0(c_1(c_3(c_0(c_1(c_2(c_2(c_2(c_2(c_0(c_2(x1212))))))))))))))))))))))))))))))))))) -> 0'(3'(0'(0'(0'(2'(3'(2'(1'(3'(0'(2'(2'(1'(1'(1'(2'(2'(0'(2'(0'(0'(1'(1'(2'(3'(1'(1'(0'(2'(3'(2'(3'(0'(2'(x1212))))))))))))))))))))))))))))))))))) [2]
   3'(c_1(c_0(c_2(c_1(c_0(c_1(c_0(c_1(c_0(c_2(c_2(c_0(c_2(c_3(c_3(c_2(c_2(c_1(c_3(c_3(c_2(c_1(c_2(c_3(c_1(c_3(c_3(c_1(c_2(c_1(c_2(c_2(c_0(c_3(x1213))))))))))))))))))))))))))))))))))) -> 0'(3'(0'(0'(0'(2'(3'(2'(1'(3'(0'(2'(2'(1'(1'(1'(2'(2'(2'(1'(1'(1'(2'(2'(2'(1'(2'(1'(0'(3'(3'(3'(3'(3'(3'(x1213))))))))))))))))))))))))))))))))))) [2]
   3'(c_1(c_0(c_2(c_1(c_0(c_1(c_0(c_1(c_0(c_2(c_2(c_0(c_2(c_3(c_3(c_2(c_2(c_1(c_0(c_2(c_1(c_0(c_0(c_1(c_1(c_2(c_2(c_2(c_2(c_2(c_2(c_2(c_2(c_1(x1214))))))))))))))))))))))))))))))))))) -> 0'(3'(0'(0'(0'(2'(3'(2'(1'(3'(0'(2'(2'(1'(1'(1'(2'(2'(0'(0'(1'(2'(2'(2'(1'(2'(2'(2'(0'(1'(2'(1'(2'(2'(1'(x1214))))))))))))))))))))))))))))))))))) [2]
   3'(c_1(c_0(c_2(c_1(c_0(c_1(c_0(c_1(c_0(c_2(c_2(c_0(c_2(c_3(c_3(c_2(c_2(c_3(c_0(c_1(c_0(c_0(c_3(c_1(c_0(c_3(c_2(c_3(c_2(c_2(c_2(c_3(c_3(c_2(x1215))))))))))))))))))))))))))))))))))) -> 0'(3'(0'(0'(0'(2'(3'(2'(1'(3'(0'(2'(2'(1'(1'(1'(2'(2'(3'(2'(3'(0'(0'(2'(2'(2'(1'(1'(0'(3'(2'(0'(3'(3'(3'(x1215))))))))))))))))))))))))))))))))))) [2]
   3'(c_1(c_0(c_2(c_1(c_0(c_1(c_0(c_1(c_0(c_2(c_2(c_0(c_2(c_3(c_3(c_2(c_2(c_2(c_3(c_1(c_0(c_3(c_2(c_2(c_2(c_2(c_3(c_1(c_3(c_3(c_0(c_2(c_3(c_2(x1216))))))))))))))))))))))))))))))))))) -> 0'(3'(0'(0'(0'(2'(3'(2'(1'(3'(0'(2'(2'(1'(1'(1'(2'(2'(2'(3'(0'(3'(1'(2'(3'(3'(3'(0'(2'(1'(2'(2'(3'(2'(2'(x1216))))))))))))))))))))))))))))))))))) [2]
   3'(c_1(c_0(c_2(c_1(c_0(c_1(c_0(c_1(c_0(c_2(c_2(c_0(c_2(c_3(c_3(c_2(c_2(c_1(c_1(c_3(c_2(c_0(c_0(c_0(c_2(c_1(c_0(c_2(c_2(c_3(c_2(c_3(c_2(c_0(x1217))))))))))))))))))))))))))))))))))) -> 0'(3'(0'(0'(0'(2'(3'(2'(1'(3'(0'(2'(2'(1'(1'(1'(2'(2'(0'(0'(2'(0'(2'(2'(1'(2'(1'(2'(3'(0'(3'(2'(3'(1'(0'(x1217))))))))))))))))))))))))))))))))))) [2]
   3'(c_1(c_0(c_2(c_1(c_0(c_1(c_0(c_1(c_0(c_2(c_2(c_0(c_2(c_3(c_3(c_2(c_2(x1)))))))))))))))))) -> 0'(3'(0'(0'(0'(2'(3'(2'(1'(3'(0'(2'(2'(1'(1'(1'(2'(c_2(x1)))))))))))))))))) [1]
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   3'(c_2(c_0(c_1(c_2(c_3(c_2(c_2(c_1(c_3(c_0(c_3(c_3(c_1(c_3(c_3(c_2(c_2(x1)))))))))))))))))) -> 3'(2'(0'(1'(2'(0'(1'(3'(3'(2'(3'(3'(3'(3'(1'(2'(2'(const))))))))))))))))) [1]
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   2'(c_1(c_1(c_3(c_2(c_0(c_0(c_0(c_2(c_1(c_0(c_2(c_2(c_3(c_2(c_3(c_2(c_0(x1)))))))))))))))))) -> 2'(0'(0'(2'(0'(2'(2'(1'(2'(1'(2'(3'(0'(3'(2'(3'(1'(0'(x1)))))))))))))))))) [1]
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   3'(c_3(c_0(c_1(c_0(c_3(c_2(c_0(c_1(c_1(c_1(c_1(c_2(c_0(c_3(c_2(c_1(c_0(x1)))))))))))))))))) -> 3'(3'(1'(0'(0'(2'(1'(1'(1'(2'(3'(1'(1'(2'(0'(0'(3'(0'(x1)))))))))))))))))) [1]
   1'(c_3(c_1(c_2(c_2(c_2(c_1(c_3(c_3(c_0(c_1(c_1(c_0(c_0(c_2(c_2(c_3(c_2(c_0(c_2(c_2(c_3(c_2(c_0(c_2(c_0(c_1(c_1(c_3(c_1(c_3(c_3(c_3(c_2(c_0(x11453))))))))))))))))))))))))))))))))))) -> 1'(2'(2'(3'(0'(2'(3'(0'(3'(2'(3'(1'(1'(0'(1'(2'(1'(2'(3'(1'(2'(1'(2'(0'(2'(2'(1'(0'(0'(3'(3'(2'(0'(3'(3'(x11453))))))))))))))))))))))))))))))))))) [2]
   1'(c_3(c_1(c_2(c_2(c_2(c_1(c_3(c_3(c_0(c_1(c_1(c_0(c_0(c_2(c_2(c_3(c_2(c_1(c_0(c_0(c_2(c_2(c_2(c_0(c_1(c_3(c_1(c_3(c_2(c_3(c_2(c_1(c_1(c_2(x11454))))))))))))))))))))))))))))))))))) -> 1'(2'(2'(3'(0'(2'(3'(0'(3'(2'(3'(1'(1'(0'(1'(2'(1'(2'(2'(0'(0'(3'(0'(2'(2'(1'(2'(3'(1'(2'(3'(1'(1'(1'(2'(x11454))))))))))))))))))))))))))))))))))) [2]
   1'(c_3(c_1(c_2(c_2(c_2(c_1(c_3(c_3(c_0(c_1(c_1(c_0(c_0(c_2(c_2(c_3(c_2(c_0(c_2(c_0(c_0(c_1(c_1(c_1(c_3(c_1(c_1(c_3(c_2(c_3(c_1(c_3(c_2(c_3(x11455))))))))))))))))))))))))))))))))))) -> 1'(2'(2'(3'(0'(2'(3'(0'(3'(2'(3'(1'(1'(0'(1'(2'(1'(2'(0'(1'(1'(1'(0'(3'(1'(2'(1'(0'(1'(2'(3'(3'(3'(2'(3'(x11455))))))))))))))))))))))))))))))))))) [2]
   1'(c_3(c_1(c_2(c_2(c_2(c_1(c_3(c_3(c_0(c_1(c_1(c_0(c_0(c_2(c_2(c_3(c_2(c_3(c_1(c_0(c_0(c_3(c_1(c_0(c_1(c_3(c_0(c_1(c_2(c_2(c_2(c_2(c_0(c_2(x11456))))))))))))))))))))))))))))))))))) -> 1'(2'(2'(3'(0'(2'(3'(0'(3'(2'(3'(1'(1'(0'(1'(2'(1'(2'(0'(2'(0'(0'(1'(1'(2'(3'(1'(1'(0'(2'(3'(2'(3'(0'(2'(x11456))))))))))))))))))))))))))))))))))) [2]
   1'(c_3(c_1(c_2(c_2(c_2(c_1(c_3(c_3(c_0(c_1(c_1(c_0(c_0(c_2(c_2(c_3(c_2(c_1(c_3(c_3(c_2(c_1(c_2(c_3(c_1(c_3(c_3(c_1(c_2(c_1(c_2(c_2(c_0(c_3(x11457))))))))))))))))))))))))))))))))))) -> 1'(2'(2'(3'(0'(2'(3'(0'(3'(2'(3'(1'(1'(0'(1'(2'(1'(2'(2'(1'(1'(1'(2'(2'(2'(1'(2'(1'(0'(3'(3'(3'(3'(3'(3'(x11457))))))))))))))))))))))))))))))))))) [2]
   1'(c_3(c_1(c_2(c_2(c_2(c_1(c_3(c_3(c_0(c_1(c_1(c_0(c_0(c_2(c_2(c_3(c_2(c_1(c_0(c_2(c_1(c_0(c_0(c_1(c_1(c_2(c_2(c_2(c_2(c_2(c_2(c_2(c_2(c_1(x11458))))))))))))))))))))))))))))))))))) -> 1'(2'(2'(3'(0'(2'(3'(0'(3'(2'(3'(1'(1'(0'(1'(2'(1'(2'(0'(0'(1'(2'(2'(2'(1'(2'(2'(2'(0'(1'(2'(1'(2'(2'(1'(x11458))))))))))))))))))))))))))))))))))) [2]
   1'(c_3(c_1(c_2(c_2(c_2(c_1(c_3(c_3(c_0(c_1(c_1(c_0(c_0(c_2(c_2(c_3(c_2(c_3(c_0(c_1(c_0(c_0(c_3(c_1(c_0(c_3(c_2(c_3(c_2(c_2(c_2(c_3(c_3(c_2(x11459))))))))))))))))))))))))))))))))))) -> 1'(2'(2'(3'(0'(2'(3'(0'(3'(2'(3'(1'(1'(0'(1'(2'(1'(2'(3'(2'(3'(0'(0'(2'(2'(2'(1'(1'(0'(3'(2'(0'(3'(3'(3'(x11459))))))))))))))))))))))))))))))))))) [2]
   1'(c_3(c_1(c_2(c_2(c_2(c_1(c_3(c_3(c_0(c_1(c_1(c_0(c_0(c_2(c_2(c_3(c_2(c_2(c_3(c_1(c_0(c_3(c_2(c_2(c_2(c_2(c_3(c_1(c_3(c_3(c_0(c_2(c_3(c_2(x11460))))))))))))))))))))))))))))))))))) -> 1'(2'(2'(3'(0'(2'(3'(0'(3'(2'(3'(1'(1'(0'(1'(2'(1'(2'(2'(3'(0'(3'(1'(2'(3'(3'(3'(0'(2'(1'(2'(2'(3'(2'(2'(x11460))))))))))))))))))))))))))))))))))) [2]
   1'(c_3(c_1(c_2(c_2(c_2(c_1(c_3(c_3(c_0(c_1(c_1(c_0(c_0(c_2(c_2(c_3(c_2(c_1(c_1(c_3(c_2(c_0(c_0(c_0(c_2(c_1(c_0(c_2(c_2(c_3(c_2(c_3(c_2(c_0(x11461))))))))))))))))))))))))))))))))))) -> 1'(2'(2'(3'(0'(2'(3'(0'(3'(2'(3'(1'(1'(0'(1'(2'(1'(2'(0'(0'(2'(0'(2'(2'(1'(2'(1'(2'(3'(0'(3'(2'(3'(1'(0'(x11461))))))))))))))))))))))))))))))))))) [2]
   1'(c_3(c_1(c_2(c_2(c_2(c_1(c_3(c_3(c_0(c_1(c_1(c_0(c_0(c_2(c_2(c_3(c_2(x1)))))))))))))))))) -> 1'(2'(2'(3'(0'(2'(3'(0'(3'(2'(3'(1'(1'(0'(1'(2'(1'(c_2(x1)))))))))))))))))) [1]
   1'(c_3(c_1(c_2(c_2(c_2(c_1(c_3(c_3(c_0(c_1(c_1(c_0(c_0(c_2(c_2(c_3(c_2(x1)))))))))))))))))) -> 1'(2'(2'(3'(0'(2'(3'(0'(3'(2'(3'(1'(1'(0'(1'(2'(1'(const))))))))))))))))) [1]
   3'(c_2(c_2(c_2(c_2(c_3(c_3(c_1(c_3(c_1(c_1(c_3(c_3(c_1(c_2(c_2(c_3(c_2(c_0(c_2(c_2(c_3(c_2(c_0(c_2(c_0(c_1(c_1(c_3(c_1(c_3(c_3(c_3(c_2(c_0(x11462))))))))))))))))))))))))))))))))))) -> 3'(2'(3'(2'(3'(1'(2'(3'(1'(2'(3'(3'(2'(3'(2'(1'(1'(2'(3'(1'(2'(1'(2'(0'(2'(2'(1'(0'(0'(3'(3'(2'(0'(3'(3'(x11462))))))))))))))))))))))))))))))))))) [2]
   3'(c_2(c_2(c_2(c_2(c_3(c_3(c_1(c_3(c_1(c_1(c_3(c_3(c_1(c_2(c_2(c_3(c_2(c_1(c_0(c_0(c_2(c_2(c_2(c_0(c_1(c_3(c_1(c_3(c_2(c_3(c_2(c_1(c_1(c_2(x11463))))))))))))))))))))))))))))))))))) -> 3'(2'(3'(2'(3'(1'(2'(3'(1'(2'(3'(3'(2'(3'(2'(1'(1'(2'(2'(0'(0'(3'(0'(2'(2'(1'(2'(3'(1'(2'(3'(1'(1'(1'(2'(x11463))))))))))))))))))))))))))))))))))) [2]
   3'(c_2(c_2(c_2(c_2(c_3(c_3(c_1(c_3(c_1(c_1(c_3(c_3(c_1(c_2(c_2(c_3(c_2(c_0(c_2(c_0(c_0(c_1(c_1(c_1(c_3(c_1(c_1(c_3(c_2(c_3(c_1(c_3(c_2(c_3(x11464))))))))))))))))))))))))))))))))))) -> 3'(2'(3'(2'(3'(1'(2'(3'(1'(2'(3'(3'(2'(3'(2'(1'(1'(2'(0'(1'(1'(1'(0'(3'(1'(2'(1'(0'(1'(2'(3'(3'(3'(2'(3'(x11464))))))))))))))))))))))))))))))))))) [2]
   3'(c_2(c_2(c_2(c_2(c_3(c_3(c_1(c_3(c_1(c_1(c_3(c_3(c_1(c_2(c_2(c_3(c_2(c_3(c_1(c_0(c_0(c_3(c_1(c_0(c_1(c_3(c_0(c_1(c_2(c_2(c_2(c_2(c_0(c_2(x11465))))))))))))))))))))))))))))))))))) -> 3'(2'(3'(2'(3'(1'(2'(3'(1'(2'(3'(3'(2'(3'(2'(1'(1'(2'(0'(2'(0'(0'(1'(1'(2'(3'(1'(1'(0'(2'(3'(2'(3'(0'(2'(x11465))))))))))))))))))))))))))))))))))) [2]
   3'(c_2(c_2(c_2(c_2(c_3(c_3(c_1(c_3(c_1(c_1(c_3(c_3(c_1(c_2(c_2(c_3(c_2(c_1(c_3(c_3(c_2(c_1(c_2(c_3(c_1(c_3(c_3(c_1(c_2(c_1(c_2(c_2(c_0(c_3(x11466))))))))))))))))))))))))))))))))))) -> 3'(2'(3'(2'(3'(1'(2'(3'(1'(2'(3'(3'(2'(3'(2'(1'(1'(2'(2'(1'(1'(1'(2'(2'(2'(1'(2'(1'(0'(3'(3'(3'(3'(3'(3'(x11466))))))))))))))))))))))))))))))))))) [2]
   3'(c_2(c_2(c_2(c_2(c_3(c_3(c_1(c_3(c_1(c_1(c_3(c_3(c_1(c_2(c_2(c_3(c_2(c_1(c_0(c_2(c_1(c_0(c_0(c_1(c_1(c_2(c_2(c_2(c_2(c_2(c_2(c_2(c_2(c_1(x11467))))))))))))))))))))))))))))))))))) -> 3'(2'(3'(2'(3'(1'(2'(3'(1'(2'(3'(3'(2'(3'(2'(1'(1'(2'(0'(0'(1'(2'(2'(2'(1'(2'(2'(2'(0'(1'(2'(1'(2'(2'(1'(x11467))))))))))))))))))))))))))))))))))) [2]
   3'(c_2(c_2(c_2(c_2(c_3(c_3(c_1(c_3(c_1(c_1(c_3(c_3(c_1(c_2(c_2(c_3(c_2(c_3(c_0(c_1(c_0(c_0(c_3(c_1(c_0(c_3(c_2(c_3(c_2(c_2(c_2(c_3(c_3(c_2(x11468))))))))))))))))))))))))))))))))))) -> 3'(2'(3'(2'(3'(1'(2'(3'(1'(2'(3'(3'(2'(3'(2'(1'(1'(2'(3'(2'(3'(0'(0'(2'(2'(2'(1'(1'(0'(3'(2'(0'(3'(3'(3'(x11468))))))))))))))))))))))))))))))))))) [2]
   3'(c_2(c_2(c_2(c_2(c_3(c_3(c_1(c_3(c_1(c_1(c_3(c_3(c_1(c_2(c_2(c_3(c_2(c_2(c_3(c_1(c_0(c_3(c_2(c_2(c_2(c_2(c_3(c_1(c_3(c_3(c_0(c_2(c_3(c_2(x11469))))))))))))))))))))))))))))))))))) -> 3'(2'(3'(2'(3'(1'(2'(3'(1'(2'(3'(3'(2'(3'(2'(1'(1'(2'(2'(3'(0'(3'(1'(2'(3'(3'(3'(0'(2'(1'(2'(2'(3'(2'(2'(x11469))))))))))))))))))))))))))))))))))) [2]
   3'(c_2(c_2(c_2(c_2(c_3(c_3(c_1(c_3(c_1(c_1(c_3(c_3(c_1(c_2(c_2(c_3(c_2(c_1(c_1(c_3(c_2(c_0(c_0(c_0(c_2(c_1(c_0(c_2(c_2(c_3(c_2(c_3(c_2(c_0(x11470))))))))))))))))))))))))))))))))))) -> 3'(2'(3'(2'(3'(1'(2'(3'(1'(2'(3'(3'(2'(3'(2'(1'(1'(2'(0'(0'(2'(0'(2'(2'(1'(2'(1'(2'(3'(0'(3'(2'(3'(1'(0'(x11470))))))))))))))))))))))))))))))))))) [2]
   3'(c_2(c_2(c_2(c_2(c_3(c_3(c_1(c_3(c_1(c_1(c_3(c_3(c_1(c_2(c_2(c_3(c_2(x1)))))))))))))))))) -> 3'(2'(3'(2'(3'(1'(2'(3'(1'(2'(3'(3'(2'(3'(2'(1'(1'(c_2(x1)))))))))))))))))) [1]
   3'(c_2(c_2(c_2(c_2(c_3(c_3(c_1(c_3(c_1(c_1(c_3(c_3(c_1(c_2(c_2(c_3(c_2(x1)))))))))))))))))) -> 3'(2'(3'(2'(3'(1'(2'(3'(1'(2'(3'(3'(2'(3'(2'(1'(1'(const))))))))))))))))) [1]
   encArg(cons_0(cons_0(x_1'))) -> 0'(0'(encArg(x_1'))) [0]
   encArg(cons_0(cons_1(x_1''))) -> 0'(1'(encArg(x_1''))) [0]
   encArg(cons_0(cons_2(x_11))) -> 0'(2'(encArg(x_11))) [0]
   encArg(cons_0(cons_3(x_12))) -> 0'(3'(encArg(x_12))) [0]
   encArg(cons_0(x_1)) -> 0'(const) [0]
   encArg(cons_1(cons_0(x_13))) -> 1'(0'(encArg(x_13))) [0]
   encArg(cons_1(cons_1(x_14))) -> 1'(1'(encArg(x_14))) [0]
   encArg(cons_1(cons_2(x_15))) -> 1'(2'(encArg(x_15))) [0]
   encArg(cons_1(cons_3(x_16))) -> 1'(3'(encArg(x_16))) [0]
   encArg(cons_1(x_1)) -> 1'(const) [0]
   encArg(cons_2(cons_0(x_17))) -> 2'(0'(encArg(x_17))) [0]
   encArg(cons_2(cons_1(x_18))) -> 2'(1'(encArg(x_18))) [0]
   encArg(cons_2(cons_2(x_19))) -> 2'(2'(encArg(x_19))) [0]
   encArg(cons_2(cons_3(x_110))) -> 2'(3'(encArg(x_110))) [0]
   encArg(cons_2(x_1)) -> 2'(const) [0]
   encArg(cons_3(cons_0(x_111))) -> 3'(0'(encArg(x_111))) [0]
   encArg(cons_3(cons_1(x_112))) -> 3'(1'(encArg(x_112))) [0]
   encArg(cons_3(cons_2(x_113))) -> 3'(2'(encArg(x_113))) [0]
   encArg(cons_3(cons_3(x_114))) -> 3'(3'(encArg(x_114))) [0]
   encArg(cons_3(x_1)) -> 3'(const) [0]
   encode_0(cons_0(x_115)) -> 0'(0'(encArg(x_115))) [0]
   encode_0(cons_1(x_116)) -> 0'(1'(encArg(x_116))) [0]
   encode_0(cons_2(x_117)) -> 0'(2'(encArg(x_117))) [0]
   encode_0(cons_3(x_118)) -> 0'(3'(encArg(x_118))) [0]
   encode_0(x_1) -> 0'(const) [0]
   encode_1(cons_0(x_119)) -> 1'(0'(encArg(x_119))) [0]
   encode_1(cons_1(x_120)) -> 1'(1'(encArg(x_120))) [0]
   encode_1(cons_2(x_121)) -> 1'(2'(encArg(x_121))) [0]
   encode_1(cons_3(x_122)) -> 1'(3'(encArg(x_122))) [0]
   encode_1(x_1) -> 1'(const) [0]
   encode_3(cons_0(x_123)) -> 3'(0'(encArg(x_123))) [0]
   encode_3(cons_1(x_124)) -> 3'(1'(encArg(x_124))) [0]
   encode_3(cons_2(x_125)) -> 3'(2'(encArg(x_125))) [0]
   encode_3(cons_3(x_126)) -> 3'(3'(encArg(x_126))) [0]
   encode_3(x_1) -> 3'(const) [0]
   encode_2(cons_0(x_127)) -> 2'(0'(encArg(x_127))) [0]
   encode_2(cons_1(x_128)) -> 2'(1'(encArg(x_128))) [0]
   encode_2(cons_2(x_129)) -> 2'(2'(encArg(x_129))) [0]
   encode_2(cons_3(x_130)) -> 2'(3'(encArg(x_130))) [0]
   encode_2(x_1) -> 2'(const) [0]
   0'(x0) -> c_0(x0) [0]
   1'(x0) -> c_1(x0) [0]
   2'(x0) -> c_2(x0) [0]
   3'(x0) -> c_3(x0) [0]
   encArg(v0) -> const [0]
   encode_0(v0) -> const [0]
   encode_1(v0) -> const [0]
   encode_3(v0) -> const [0]
   encode_2(v0) -> const [0]
   0'(v0) -> const [0]
   1'(v0) -> const [0]
   2'(v0) -> const [0]
   3'(v0) -> const [0]

The TRS has the following type information:
3' :: c_0:c_1:c_2:c_3:const -> c_0:c_1:c_2:c_3:const
c_3 :: c_0:c_1:c_2:c_3:const -> c_0:c_1:c_2:c_3:const
c_1 :: c_0:c_1:c_2:c_3:const -> c_0:c_1:c_2:c_3:const
c_2 :: c_0:c_1:c_2:c_3:const -> c_0:c_1:c_2:c_3:const
c_0 :: c_0:c_1:c_2:c_3:const -> c_0:c_1:c_2:c_3:const
0' :: c_0:c_1:c_2:c_3:const -> c_0:c_1:c_2:c_3:const
2' :: c_0:c_1:c_2:c_3:const -> c_0:c_1:c_2:c_3:const
1' :: c_0:c_1:c_2:c_3:const -> c_0:c_1:c_2:c_3:const
encArg :: cons_0:cons_1:cons_2:cons_3 -> c_0:c_1:c_2:c_3:const
cons_0 :: cons_0:cons_1:cons_2:cons_3 -> cons_0:cons_1:cons_2:cons_3
cons_1 :: cons_0:cons_1:cons_2:cons_3 -> cons_0:cons_1:cons_2:cons_3
cons_2 :: cons_0:cons_1:cons_2:cons_3 -> cons_0:cons_1:cons_2:cons_3
cons_3 :: cons_0:cons_1:cons_2:cons_3 -> cons_0:cons_1:cons_2:cons_3
encode_0 :: cons_0:cons_1:cons_2:cons_3 -> c_0:c_1:c_2:c_3:const
encode_1 :: cons_0:cons_1:cons_2:cons_3 -> c_0:c_1:c_2:c_3:const
encode_3 :: cons_0:cons_1:cons_2:cons_3 -> c_0:c_1:c_2:c_3:const
encode_2 :: cons_0:cons_1:cons_2:cons_3 -> c_0:c_1:c_2:c_3:const
const :: c_0:c_1:c_2: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) -{ 1 }-> 3'(0'(1'(3'(3'(0'(0'(0'(0'(2'(1'(2'(0'(3'(1'(2'(1'(3'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   0'(z) -{ 1 }-> 3'(0'(0'(2'(0'(1'(1'(0'(2'(0'(3'(1'(0'(1'(0'(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
   0'(z) -{ 1 }-> 2'(3'(0'(2'(1'(2'(3'(1'(2'(3'(0'(3'(3'(1'(0'(2'(0'(0'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   0'(z) -{ 2 }-> 2'(1'(2'(1'(2'(3'(2'(1'(2'(1'(2'(0'(0'(2'(0'(1'(3'(2'(3'(2'(3'(0'(0'(2'(2'(2'(1'(1'(0'(3'(2'(0'(3'(3'(3'(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)))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 2'(1'(2'(1'(2'(3'(2'(1'(2'(1'(2'(0'(0'(2'(0'(1'(3'(2'(3'(1'(2'(1'(2'(0'(2'(2'(1'(0'(0'(3'(3'(2'(0'(3'(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
   0'(z) -{ 2 }-> 2'(1'(2'(1'(2'(3'(2'(1'(2'(1'(2'(0'(0'(2'(0'(1'(3'(2'(2'(3'(0'(3'(1'(2'(3'(3'(3'(0'(2'(1'(2'(2'(3'(2'(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
   0'(z) -{ 2 }-> 2'(1'(2'(1'(2'(3'(2'(1'(2'(1'(2'(0'(0'(2'(0'(1'(3'(2'(2'(1'(1'(1'(2'(2'(2'(1'(2'(1'(0'(3'(3'(3'(3'(3'(3'(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)))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 2'(1'(2'(1'(2'(3'(2'(1'(2'(1'(2'(0'(0'(2'(0'(1'(3'(2'(2'(0'(0'(3'(0'(2'(2'(1'(2'(3'(1'(2'(3'(1'(1'(1'(2'(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)))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 2'(1'(2'(1'(2'(3'(2'(1'(2'(1'(2'(0'(0'(2'(0'(1'(3'(2'(0'(2'(0'(0'(1'(1'(2'(3'(1'(1'(0'(2'(3'(2'(3'(0'(2'(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
   0'(z) -{ 2 }-> 2'(1'(2'(1'(2'(3'(2'(1'(2'(1'(2'(0'(0'(2'(0'(1'(3'(2'(0'(1'(1'(1'(0'(3'(1'(2'(1'(0'(1'(2'(3'(3'(3'(2'(3'(x1477))))))))))))))))))))))))))))))))))) :|: x1477 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1477)))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 2'(1'(2'(1'(2'(3'(2'(1'(2'(1'(2'(0'(0'(2'(0'(1'(3'(2'(0'(0'(2'(0'(2'(2'(1'(2'(1'(2'(3'(0'(3'(2'(3'(1'(0'(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)))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 2'(1'(2'(1'(2'(3'(2'(1'(2'(1'(2'(0'(0'(2'(0'(1'(3'(2'(0'(0'(1'(2'(2'(2'(1'(2'(2'(2'(0'(1'(2'(1'(2'(2'(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)))))))))))))))))))))))))))))))))
   0'(z) -{ 1 }-> 2'(1'(2'(1'(2'(3'(2'(1'(2'(1'(2'(0'(0'(2'(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 }-> 2'(1'(2'(1'(2'(3'(2'(1'(2'(1'(2'(0'(0'(2'(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) -{ 2 }-> 2'(1'(1'(0'(3'(3'(0'(1'(3'(1'(2'(3'(2'(0'(1'(2'(0'(2'(3'(2'(3'(0'(0'(2'(2'(2'(1'(1'(0'(3'(2'(0'(3'(3'(3'(x1752))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1752))))))))))))))))))))))))))))))))), x1752 >= 0
   0'(z) -{ 2 }-> 2'(1'(1'(0'(3'(3'(0'(1'(3'(1'(2'(3'(2'(0'(1'(2'(0'(2'(3'(1'(2'(1'(2'(0'(2'(2'(1'(0'(0'(3'(3'(2'(0'(3'(3'(x1746))))))))))))))))))))))))))))))))))) :|: x1746 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1746)))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 2'(1'(1'(0'(3'(3'(0'(1'(3'(1'(2'(3'(2'(0'(1'(2'(0'(2'(2'(3'(0'(3'(1'(2'(3'(3'(3'(0'(2'(1'(2'(2'(3'(2'(2'(x1753))))))))))))))))))))))))))))))))))) :|: x1753 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1753)))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 2'(1'(1'(0'(3'(3'(0'(1'(3'(1'(2'(3'(2'(0'(1'(2'(0'(2'(2'(1'(1'(1'(2'(2'(2'(1'(2'(1'(0'(3'(3'(3'(3'(3'(3'(x1750))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1750))))))))))))))))))))))))))))))))), x1750 >= 0
   0'(z) -{ 2 }-> 2'(1'(1'(0'(3'(3'(0'(1'(3'(1'(2'(3'(2'(0'(1'(2'(0'(2'(2'(0'(0'(3'(0'(2'(2'(1'(2'(3'(1'(2'(3'(1'(1'(1'(2'(x1747))))))))))))))))))))))))))))))))))) :|: x1747 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1747)))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 2'(1'(1'(0'(3'(3'(0'(1'(3'(1'(2'(3'(2'(0'(1'(2'(0'(2'(0'(2'(0'(0'(1'(1'(2'(3'(1'(1'(0'(2'(3'(2'(3'(0'(2'(x1749))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1749))))))))))))))))))))))))))))))))), x1749 >= 0
   0'(z) -{ 2 }-> 2'(1'(1'(0'(3'(3'(0'(1'(3'(1'(2'(3'(2'(0'(1'(2'(0'(2'(0'(1'(1'(1'(0'(3'(1'(2'(1'(0'(1'(2'(3'(3'(3'(2'(3'(x1748))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1748))))))))))))))))))))))))))))))))), x1748 >= 0
   0'(z) -{ 2 }-> 2'(1'(1'(0'(3'(3'(0'(1'(3'(1'(2'(3'(2'(0'(1'(2'(0'(2'(0'(0'(2'(0'(2'(2'(1'(2'(1'(2'(3'(0'(3'(2'(3'(1'(0'(x1754))))))))))))))))))))))))))))))))))) :|: x1754 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1754)))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 2'(1'(1'(0'(3'(3'(0'(1'(3'(1'(2'(3'(2'(0'(1'(2'(0'(2'(0'(0'(1'(2'(2'(2'(1'(2'(2'(2'(0'(1'(2'(1'(2'(2'(1'(x1751))))))))))))))))))))))))))))))))))) :|: x1751 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1751)))))))))))))))))))))))))))))))))
   0'(z) -{ 1 }-> 2'(1'(1'(0'(3'(3'(0'(1'(3'(1'(2'(3'(2'(0'(1'(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 }-> 2'(1'(1'(0'(3'(3'(0'(1'(3'(1'(2'(3'(2'(0'(1'(2'(0'(1 + x1))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   0'(z) -{ 2 }-> 2'(0'(0'(1'(3'(1'(2'(1'(2'(0'(3'(2'(0'(0'(3'(0'(1'(2'(3'(2'(3'(0'(0'(2'(2'(2'(1'(1'(0'(3'(2'(0'(3'(3'(3'(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)))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 2'(0'(0'(1'(3'(1'(2'(1'(2'(0'(3'(2'(0'(0'(3'(0'(1'(2'(3'(1'(2'(1'(2'(0'(2'(2'(1'(0'(0'(3'(3'(2'(0'(3'(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
   0'(z) -{ 2 }-> 2'(0'(0'(1'(3'(1'(2'(1'(2'(0'(3'(2'(0'(0'(3'(0'(1'(2'(2'(3'(0'(3'(1'(2'(3'(3'(3'(0'(2'(1'(2'(2'(3'(2'(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
   0'(z) -{ 2 }-> 2'(0'(0'(1'(3'(1'(2'(1'(2'(0'(3'(2'(0'(0'(3'(0'(1'(2'(2'(1'(1'(1'(2'(2'(2'(1'(2'(1'(0'(3'(3'(3'(3'(3'(3'(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
   0'(z) -{ 2 }-> 2'(0'(0'(1'(3'(1'(2'(1'(2'(0'(3'(2'(0'(0'(3'(0'(1'(2'(2'(0'(0'(3'(0'(2'(2'(1'(2'(3'(1'(2'(3'(1'(1'(1'(2'(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)))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 2'(0'(0'(1'(3'(1'(2'(1'(2'(0'(3'(2'(0'(0'(3'(0'(1'(2'(0'(2'(0'(0'(1'(1'(2'(3'(1'(1'(0'(2'(3'(2'(3'(0'(2'(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)))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 2'(0'(0'(1'(3'(1'(2'(1'(2'(0'(3'(2'(0'(0'(3'(0'(1'(2'(0'(1'(1'(1'(0'(3'(1'(2'(1'(0'(1'(2'(3'(3'(3'(2'(3'(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)))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 2'(0'(0'(1'(3'(1'(2'(1'(2'(0'(3'(2'(0'(0'(3'(0'(1'(2'(0'(0'(2'(0'(2'(2'(1'(2'(1'(2'(3'(0'(3'(2'(3'(1'(0'(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)))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 2'(0'(0'(1'(3'(1'(2'(1'(2'(0'(3'(2'(0'(0'(3'(0'(1'(2'(0'(0'(1'(2'(2'(2'(1'(2'(2'(2'(0'(1'(2'(1'(2'(2'(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)))))))))))))))))))))))))))))))))
   0'(z) -{ 1 }-> 2'(0'(0'(1'(3'(1'(2'(1'(2'(0'(3'(2'(0'(0'(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
   0'(z) -{ 1 }-> 2'(0'(0'(1'(3'(1'(2'(1'(2'(0'(3'(2'(0'(0'(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
   0'(z) -{ 1 }-> 1'(2'(3'(1'(1'(0'(0'(1'(1'(3'(0'(0'(2'(0'(2'(1'(1'(1'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   0'(z) -{ 1 }-> 1'(0'(3'(3'(3'(3'(1'(1'(2'(2'(3'(1'(2'(1'(2'(0'(1'(1'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   0'(z) -{ 1 }-> 0'(3'(2'(0'(3'(1'(3'(1'(1'(0'(3'(0'(0'(1'(0'(1'(1'(3'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   0'(z) -{ 1 }-> 0'(3'(1'(1'(0'(3'(2'(0'(2'(1'(2'(2'(0'(3'(1'(1'(0'(0'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   0'(z) -{ 1 }-> 0'(3'(0'(3'(3'(1'(3'(0'(3'(3'(3'(1'(3'(0'(3'(2'(3'(3'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   0'(z) -{ 2 }-> 0'(3'(0'(0'(3'(0'(2'(1'(2'(1'(0'(0'(1'(2'(0'(2'(0'(2'(3'(2'(3'(0'(0'(2'(2'(2'(1'(1'(0'(3'(2'(0'(3'(3'(3'(x1511))))))))))))))))))))))))))))))))))) :|: x1511 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1511)))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 0'(3'(0'(0'(3'(0'(2'(1'(2'(1'(0'(0'(1'(2'(0'(2'(0'(2'(3'(1'(2'(1'(2'(0'(2'(2'(1'(0'(0'(3'(3'(2'(0'(3'(3'(x1505))))))))))))))))))))))))))))))))))) :|: x1505 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1505)))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 0'(3'(0'(0'(3'(0'(2'(1'(2'(1'(0'(0'(1'(2'(0'(2'(0'(2'(2'(3'(0'(3'(1'(2'(3'(3'(3'(0'(2'(1'(2'(2'(3'(2'(2'(x1512))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1512))))))))))))))))))))))))))))))))), x1512 >= 0
   0'(z) -{ 2 }-> 0'(3'(0'(0'(3'(0'(2'(1'(2'(1'(0'(0'(1'(2'(0'(2'(0'(2'(2'(1'(1'(1'(2'(2'(2'(1'(2'(1'(0'(3'(3'(3'(3'(3'(3'(x1509))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1509))))))))))))))))))))))))))))))))), x1509 >= 0
   0'(z) -{ 2 }-> 0'(3'(0'(0'(3'(0'(2'(1'(2'(1'(0'(0'(1'(2'(0'(2'(0'(2'(2'(0'(0'(3'(0'(2'(2'(1'(2'(3'(1'(2'(3'(1'(1'(1'(2'(x1506))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1506))))))))))))))))))))))))))))))))), x1506 >= 0
   0'(z) -{ 2 }-> 0'(3'(0'(0'(3'(0'(2'(1'(2'(1'(0'(0'(1'(2'(0'(2'(0'(2'(0'(2'(0'(0'(1'(1'(2'(3'(1'(1'(0'(2'(3'(2'(3'(0'(2'(x1508))))))))))))))))))))))))))))))))))) :|: x1508 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1508)))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 0'(3'(0'(0'(3'(0'(2'(1'(2'(1'(0'(0'(1'(2'(0'(2'(0'(2'(0'(1'(1'(1'(0'(3'(1'(2'(1'(0'(1'(2'(3'(3'(3'(2'(3'(x1507))))))))))))))))))))))))))))))))))) :|: x1507 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1507)))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 0'(3'(0'(0'(3'(0'(2'(1'(2'(1'(0'(0'(1'(2'(0'(2'(0'(2'(0'(0'(2'(0'(2'(2'(1'(2'(1'(2'(3'(0'(3'(2'(3'(1'(0'(x1513))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1513))))))))))))))))))))))))))))))))), x1513 >= 0
   0'(z) -{ 2 }-> 0'(3'(0'(0'(3'(0'(2'(1'(2'(1'(0'(0'(1'(2'(0'(2'(0'(2'(0'(0'(1'(2'(2'(2'(1'(2'(2'(2'(0'(1'(2'(1'(2'(2'(1'(x1510))))))))))))))))))))))))))))))))))) :|: x1510 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1510)))))))))))))))))))))))))))))))))
   0'(z) -{ 1 }-> 0'(3'(0'(0'(3'(0'(2'(1'(2'(1'(0'(0'(1'(2'(0'(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'(3'(0'(0'(3'(0'(2'(1'(2'(1'(0'(0'(1'(2'(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
   0'(z) -{ 2 }-> 0'(2'(3'(3'(2'(3'(2'(0'(1'(2'(0'(1'(1'(1'(0'(3'(1'(2'(3'(2'(3'(0'(0'(2'(2'(2'(1'(1'(0'(3'(2'(0'(3'(3'(3'(x1887))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1887))))))))))))))))))))))))))))))))), x1887 >= 0
   0'(z) -{ 2 }-> 0'(2'(3'(3'(2'(3'(2'(0'(1'(2'(0'(1'(1'(1'(0'(3'(1'(2'(3'(1'(2'(1'(2'(0'(2'(2'(1'(0'(0'(3'(3'(2'(0'(3'(3'(x1881))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1881))))))))))))))))))))))))))))))))), x1881 >= 0
   0'(z) -{ 2 }-> 0'(2'(3'(3'(2'(3'(2'(0'(1'(2'(0'(1'(1'(1'(0'(3'(1'(2'(2'(3'(0'(3'(1'(2'(3'(3'(3'(0'(2'(1'(2'(2'(3'(2'(2'(x1888))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1888))))))))))))))))))))))))))))))))), x1888 >= 0
   0'(z) -{ 2 }-> 0'(2'(3'(3'(2'(3'(2'(0'(1'(2'(0'(1'(1'(1'(0'(3'(1'(2'(2'(1'(1'(1'(2'(2'(2'(1'(2'(1'(0'(3'(3'(3'(3'(3'(3'(x1885))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1885))))))))))))))))))))))))))))))))), x1885 >= 0
   0'(z) -{ 2 }-> 0'(2'(3'(3'(2'(3'(2'(0'(1'(2'(0'(1'(1'(1'(0'(3'(1'(2'(2'(0'(0'(3'(0'(2'(2'(1'(2'(3'(1'(2'(3'(1'(1'(1'(2'(x1882))))))))))))))))))))))))))))))))))) :|: x1882 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1882)))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 0'(2'(3'(3'(2'(3'(2'(0'(1'(2'(0'(1'(1'(1'(0'(3'(1'(2'(0'(2'(0'(0'(1'(1'(2'(3'(1'(1'(0'(2'(3'(2'(3'(0'(2'(x1884))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1884))))))))))))))))))))))))))))))))), x1884 >= 0
   0'(z) -{ 2 }-> 0'(2'(3'(3'(2'(3'(2'(0'(1'(2'(0'(1'(1'(1'(0'(3'(1'(2'(0'(1'(1'(1'(0'(3'(1'(2'(1'(0'(1'(2'(3'(3'(3'(2'(3'(x1883))))))))))))))))))))))))))))))))))) :|: x1883 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1883)))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 0'(2'(3'(3'(2'(3'(2'(0'(1'(2'(0'(1'(1'(1'(0'(3'(1'(2'(0'(0'(2'(0'(2'(2'(1'(2'(1'(2'(3'(0'(3'(2'(3'(1'(0'(x1889))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1889))))))))))))))))))))))))))))))))), x1889 >= 0
   0'(z) -{ 2 }-> 0'(2'(3'(3'(2'(3'(2'(0'(1'(2'(0'(1'(1'(1'(0'(3'(1'(2'(0'(0'(1'(2'(2'(2'(1'(2'(2'(2'(0'(1'(2'(1'(2'(2'(1'(x1886))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1886))))))))))))))))))))))))))))))))), x1886 >= 0
   0'(z) -{ 1 }-> 0'(2'(3'(3'(2'(3'(2'(0'(1'(2'(0'(1'(1'(1'(0'(3'(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'(3'(3'(2'(3'(2'(0'(1'(2'(0'(1'(1'(1'(0'(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
   0'(z) -{ 1 }-> 0'(2'(3'(3'(0'(3'(1'(0'(2'(3'(1'(0'(3'(3'(2'(1'(1'(1'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   0'(z) -{ 1 }-> 0'(2'(3'(1'(2'(1'(1'(1'(2'(0'(3'(3'(3'(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
   0'(z) -{ 1 }-> 0'(2'(1'(1'(1'(0'(2'(0'(2'(0'(0'(0'(0'(3'(2'(0'(2'(0'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   0'(z) -{ 1 }-> 0'(2'(0'(1'(1'(2'(3'(3'(1'(1'(3'(0'(2'(0'(2'(0'(3'(1'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   0'(z) -{ 2 }-> 0'(2'(0'(0'(3'(1'(1'(2'(3'(0'(2'(0'(0'(3'(0'(0'(0'(2'(3'(2'(3'(0'(0'(2'(2'(2'(1'(1'(0'(3'(2'(0'(3'(3'(3'(x1206))))))))))))))))))))))))))))))))))) :|: x1206 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1206)))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 0'(2'(0'(0'(3'(1'(1'(2'(3'(0'(2'(0'(0'(3'(0'(0'(0'(2'(3'(1'(2'(1'(2'(0'(2'(2'(1'(0'(0'(3'(3'(2'(0'(3'(3'(x1200))))))))))))))))))))))))))))))))))) :|: x1200 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1200)))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 0'(2'(0'(0'(3'(1'(1'(2'(3'(0'(2'(0'(0'(3'(0'(0'(0'(2'(2'(3'(0'(3'(1'(2'(3'(3'(3'(0'(2'(1'(2'(2'(3'(2'(2'(x1207))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1207))))))))))))))))))))))))))))))))), x1207 >= 0
   0'(z) -{ 2 }-> 0'(2'(0'(0'(3'(1'(1'(2'(3'(0'(2'(0'(0'(3'(0'(0'(0'(2'(2'(1'(1'(1'(2'(2'(2'(1'(2'(1'(0'(3'(3'(3'(3'(3'(3'(x1204))))))))))))))))))))))))))))))))))) :|: x1204 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1204)))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 0'(2'(0'(0'(3'(1'(1'(2'(3'(0'(2'(0'(0'(3'(0'(0'(0'(2'(2'(0'(0'(3'(0'(2'(2'(1'(2'(3'(1'(2'(3'(1'(1'(1'(2'(x1201))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1201))))))))))))))))))))))))))))))))), x1201 >= 0
   0'(z) -{ 2 }-> 0'(2'(0'(0'(3'(1'(1'(2'(3'(0'(2'(0'(0'(3'(0'(0'(0'(2'(0'(2'(0'(0'(1'(1'(2'(3'(1'(1'(0'(2'(3'(2'(3'(0'(2'(x1203))))))))))))))))))))))))))))))))))) :|: x1203 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1203)))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 0'(2'(0'(0'(3'(1'(1'(2'(3'(0'(2'(0'(0'(3'(0'(0'(0'(2'(0'(1'(1'(1'(0'(3'(1'(2'(1'(0'(1'(2'(3'(3'(3'(2'(3'(x1202))))))))))))))))))))))))))))))))))) :|: x1202 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1202)))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 0'(2'(0'(0'(3'(1'(1'(2'(3'(0'(2'(0'(0'(3'(0'(0'(0'(2'(0'(0'(2'(0'(2'(2'(1'(2'(1'(2'(3'(0'(3'(2'(3'(1'(0'(x1208))))))))))))))))))))))))))))))))))) :|: x1208 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1208)))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 0'(2'(0'(0'(3'(1'(1'(2'(3'(0'(2'(0'(0'(3'(0'(0'(0'(2'(0'(0'(1'(2'(2'(2'(1'(2'(2'(2'(0'(1'(2'(1'(2'(2'(1'(x1205))))))))))))))))))))))))))))))))))) :|: x1205 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1205)))))))))))))))))))))))))))))))))
   0'(z) -{ 1 }-> 0'(2'(0'(0'(3'(1'(1'(2'(3'(0'(2'(0'(0'(3'(0'(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'(0'(0'(3'(1'(1'(2'(3'(0'(2'(0'(0'(3'(0'(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'(1'(2'(0'(3'(1'(0'(0'(1'(1'(0'(1'(3'(1'(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
   0'(z) -{ 2 }-> 0'(1'(1'(1'(2'(1'(2'(1'(3'(2'(3'(0'(1'(2'(0'(1'(2'(2'(3'(2'(3'(0'(0'(2'(2'(2'(1'(1'(0'(3'(2'(0'(3'(3'(3'(x1832))))))))))))))))))))))))))))))))))) :|: x1832 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1832)))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 0'(1'(1'(1'(2'(1'(2'(1'(3'(2'(3'(0'(1'(2'(0'(1'(2'(2'(3'(1'(2'(1'(2'(0'(2'(2'(1'(0'(0'(3'(3'(2'(0'(3'(3'(x1826))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1826))))))))))))))))))))))))))))))))), x1826 >= 0
   0'(z) -{ 2 }-> 0'(1'(1'(1'(2'(1'(2'(1'(3'(2'(3'(0'(1'(2'(0'(1'(2'(2'(2'(3'(0'(3'(1'(2'(3'(3'(3'(0'(2'(1'(2'(2'(3'(2'(2'(x1833))))))))))))))))))))))))))))))))))) :|: x1833 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1833)))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 0'(1'(1'(1'(2'(1'(2'(1'(3'(2'(3'(0'(1'(2'(0'(1'(2'(2'(2'(1'(1'(1'(2'(2'(2'(1'(2'(1'(0'(3'(3'(3'(3'(3'(3'(x1830))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1830))))))))))))))))))))))))))))))))), x1830 >= 0
   0'(z) -{ 2 }-> 0'(1'(1'(1'(2'(1'(2'(1'(3'(2'(3'(0'(1'(2'(0'(1'(2'(2'(2'(0'(0'(3'(0'(2'(2'(1'(2'(3'(1'(2'(3'(1'(1'(1'(2'(x1827))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1827))))))))))))))))))))))))))))))))), x1827 >= 0
   0'(z) -{ 2 }-> 0'(1'(1'(1'(2'(1'(2'(1'(3'(2'(3'(0'(1'(2'(0'(1'(2'(2'(0'(2'(0'(0'(1'(1'(2'(3'(1'(1'(0'(2'(3'(2'(3'(0'(2'(x1829))))))))))))))))))))))))))))))))))) :|: x1829 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1829)))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 0'(1'(1'(1'(2'(1'(2'(1'(3'(2'(3'(0'(1'(2'(0'(1'(2'(2'(0'(1'(1'(1'(0'(3'(1'(2'(1'(0'(1'(2'(3'(3'(3'(2'(3'(x1828))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1828))))))))))))))))))))))))))))))))), x1828 >= 0
   0'(z) -{ 2 }-> 0'(1'(1'(1'(2'(1'(2'(1'(3'(2'(3'(0'(1'(2'(0'(1'(2'(2'(0'(0'(2'(0'(2'(2'(1'(2'(1'(2'(3'(0'(3'(2'(3'(1'(0'(x1834))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1834))))))))))))))))))))))))))))))))), x1834 >= 0
   0'(z) -{ 2 }-> 0'(1'(1'(1'(2'(1'(2'(1'(3'(2'(3'(0'(1'(2'(0'(1'(2'(2'(0'(0'(1'(2'(2'(2'(1'(2'(2'(2'(0'(1'(2'(1'(2'(2'(1'(x1831))))))))))))))))))))))))))))))))))) :|: x1831 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1831)))))))))))))))))))))))))))))))))
   0'(z) -{ 1 }-> 0'(1'(1'(1'(2'(1'(2'(1'(3'(2'(3'(0'(1'(2'(0'(1'(2'(0))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   0'(z) -{ 1 }-> 0'(1'(1'(1'(2'(1'(2'(1'(3'(2'(3'(0'(1'(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
   0'(z) -{ 2 }-> 0'(0'(3'(1'(1'(3'(1'(0'(0'(2'(1'(0'(3'(0'(0'(0'(3'(2'(3'(2'(3'(0'(0'(2'(2'(2'(1'(1'(0'(3'(2'(0'(3'(3'(3'(x11083))))))))))))))))))))))))))))))))))) :|: x11083 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11083)))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 0'(0'(3'(1'(1'(3'(1'(0'(0'(2'(1'(0'(3'(0'(0'(0'(3'(2'(3'(1'(2'(1'(2'(0'(2'(2'(1'(0'(0'(3'(3'(2'(0'(3'(3'(x11077))))))))))))))))))))))))))))))))))) :|: x11077 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11077)))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 0'(0'(3'(1'(1'(3'(1'(0'(0'(2'(1'(0'(3'(0'(0'(0'(3'(2'(2'(3'(0'(3'(1'(2'(3'(3'(3'(0'(2'(1'(2'(2'(3'(2'(2'(x11084))))))))))))))))))))))))))))))))))) :|: x11084 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11084)))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 0'(0'(3'(1'(1'(3'(1'(0'(0'(2'(1'(0'(3'(0'(0'(0'(3'(2'(2'(1'(1'(1'(2'(2'(2'(1'(2'(1'(0'(3'(3'(3'(3'(3'(3'(x11081))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11081))))))))))))))))))))))))))))))))), x11081 >= 0
   0'(z) -{ 2 }-> 0'(0'(3'(1'(1'(3'(1'(0'(0'(2'(1'(0'(3'(0'(0'(0'(3'(2'(2'(0'(0'(3'(0'(2'(2'(1'(2'(3'(1'(2'(3'(1'(1'(1'(2'(x11078))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11078))))))))))))))))))))))))))))))))), x11078 >= 0
   0'(z) -{ 2 }-> 0'(0'(3'(1'(1'(3'(1'(0'(0'(2'(1'(0'(3'(0'(0'(0'(3'(2'(0'(2'(0'(0'(1'(1'(2'(3'(1'(1'(0'(2'(3'(2'(3'(0'(2'(x11080))))))))))))))))))))))))))))))))))) :|: x11080 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11080)))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 0'(0'(3'(1'(1'(3'(1'(0'(0'(2'(1'(0'(3'(0'(0'(0'(3'(2'(0'(1'(1'(1'(0'(3'(1'(2'(1'(0'(1'(2'(3'(3'(3'(2'(3'(x11079))))))))))))))))))))))))))))))))))) :|: x11079 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11079)))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 0'(0'(3'(1'(1'(3'(1'(0'(0'(2'(1'(0'(3'(0'(0'(0'(3'(2'(0'(0'(2'(0'(2'(2'(1'(2'(1'(2'(3'(0'(3'(2'(3'(1'(0'(x11085))))))))))))))))))))))))))))))))))) :|: x11085 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11085)))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 0'(0'(3'(1'(1'(3'(1'(0'(0'(2'(1'(0'(3'(0'(0'(0'(3'(2'(0'(0'(1'(2'(2'(2'(1'(2'(2'(2'(0'(1'(2'(1'(2'(2'(1'(x11082))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11082))))))))))))))))))))))))))))))))), x11082 >= 0
   0'(z) -{ 1 }-> 0'(0'(3'(1'(1'(3'(1'(0'(0'(2'(1'(0'(3'(0'(0'(0'(3'(0))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   0'(z) -{ 1 }-> 0'(0'(3'(1'(1'(3'(1'(0'(0'(2'(1'(0'(3'(0'(0'(0'(3'(1 + x1))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   0'(z) -{ 1 }-> 0'(0'(3'(1'(1'(0'(3'(2'(2'(0'(2'(3'(3'(1'(2'(3'(0'(1'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   0'(z) -{ 1 }-> 0'(0'(2'(0'(2'(0'(0'(2'(2'(0'(2'(3'(1'(3'(0'(2'(2'(0'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   0'(z) -{ 1 }-> 0'(0'(0'(2'(2'(2'(0'(3'(0'(1'(1'(1'(1'(1'(0'(0'(2'(0'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   0'(z) -{ 2 }-> 0'(0'(0'(2'(1'(2'(0'(1'(1'(2'(1'(0'(3'(3'(1'(0'(2'(2'(3'(2'(3'(0'(0'(2'(2'(2'(1'(1'(0'(3'(2'(0'(3'(3'(3'(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)))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 0'(0'(0'(2'(1'(2'(0'(1'(1'(2'(1'(0'(3'(3'(1'(0'(2'(2'(3'(1'(2'(1'(2'(0'(2'(2'(1'(0'(0'(3'(3'(2'(0'(3'(3'(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)))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 0'(0'(0'(2'(1'(2'(0'(1'(1'(2'(1'(0'(3'(3'(1'(0'(2'(2'(2'(3'(0'(3'(1'(2'(3'(3'(3'(0'(2'(1'(2'(2'(3'(2'(2'(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
   0'(z) -{ 2 }-> 0'(0'(0'(2'(1'(2'(0'(1'(1'(2'(1'(0'(3'(3'(1'(0'(2'(2'(2'(1'(1'(1'(2'(2'(2'(1'(2'(1'(0'(3'(3'(3'(3'(3'(3'(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)))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 0'(0'(0'(2'(1'(2'(0'(1'(1'(2'(1'(0'(3'(3'(1'(0'(2'(2'(2'(0'(0'(3'(0'(2'(2'(1'(2'(3'(1'(2'(3'(1'(1'(1'(2'(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)))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 0'(0'(0'(2'(1'(2'(0'(1'(1'(2'(1'(0'(3'(3'(1'(0'(2'(2'(0'(2'(0'(0'(1'(1'(2'(3'(1'(1'(0'(2'(3'(2'(3'(0'(2'(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
   0'(z) -{ 2 }-> 0'(0'(0'(2'(1'(2'(0'(1'(1'(2'(1'(0'(3'(3'(1'(0'(2'(2'(0'(1'(1'(1'(0'(3'(1'(2'(1'(0'(1'(2'(3'(3'(3'(2'(3'(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
   0'(z) -{ 2 }-> 0'(0'(0'(2'(1'(2'(0'(1'(1'(2'(1'(0'(3'(3'(1'(0'(2'(2'(0'(0'(2'(0'(2'(2'(1'(2'(1'(2'(3'(0'(3'(2'(3'(1'(0'(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
   0'(z) -{ 2 }-> 0'(0'(0'(2'(1'(2'(0'(1'(1'(2'(1'(0'(3'(3'(1'(0'(2'(2'(0'(0'(1'(2'(2'(2'(1'(2'(2'(2'(0'(1'(2'(1'(2'(2'(1'(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)))))))))))))))))))))))))))))))))
   0'(z) -{ 1 }-> 0'(0'(0'(2'(1'(2'(0'(1'(1'(2'(1'(0'(3'(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
   0'(z) -{ 1 }-> 0'(0'(0'(2'(1'(2'(0'(1'(1'(2'(1'(0'(3'(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
   0'(z) -{ 0 }-> 0 :|: v0 >= 0, z = v0
   0'(z) -{ 0 }-> 1 + x0 :|: z = x0, x0 >= 0
   1'(z) -{ 1 }-> 1'(3'(3'(3'(1'(1'(0'(2'(3'(3'(3'(3'(3'(2'(0'(3'(2'(3'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   1'(z) -{ 1 }-> 1'(3'(3'(3'(0'(1'(1'(2'(0'(3'(1'(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 }-> 1'(3'(3'(2'(1'(2'(0'(1'(3'(1'(3'(0'(0'(0'(1'(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 }-> 1'(3'(3'(0'(0'(2'(0'(1'(2'(2'(2'(0'(2'(1'(0'(2'(0'(0'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   1'(z) -{ 2 }-> 1'(3'(1'(2'(1'(3'(3'(1'(0'(0'(0'(2'(1'(3'(2'(2'(2'(2'(3'(2'(3'(0'(0'(2'(2'(2'(1'(1'(0'(3'(2'(0'(3'(3'(3'(x11370))))))))))))))))))))))))))))))))))) :|: x11370 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11370)))))))))))))))))))))))))))))))))
   1'(z) -{ 2 }-> 1'(3'(1'(2'(1'(3'(3'(1'(0'(0'(0'(2'(1'(3'(2'(2'(2'(2'(3'(1'(2'(1'(2'(0'(2'(2'(1'(0'(0'(3'(3'(2'(0'(3'(3'(x11364))))))))))))))))))))))))))))))))))) :|: x11364 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11364)))))))))))))))))))))))))))))))))
   1'(z) -{ 2 }-> 1'(3'(1'(2'(1'(3'(3'(1'(0'(0'(0'(2'(1'(3'(2'(2'(2'(2'(2'(3'(0'(3'(1'(2'(3'(3'(3'(0'(2'(1'(2'(2'(3'(2'(2'(x11371))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11371))))))))))))))))))))))))))))))))), x11371 >= 0
   1'(z) -{ 2 }-> 1'(3'(1'(2'(1'(3'(3'(1'(0'(0'(0'(2'(1'(3'(2'(2'(2'(2'(2'(1'(1'(1'(2'(2'(2'(1'(2'(1'(0'(3'(3'(3'(3'(3'(3'(x11368))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11368))))))))))))))))))))))))))))))))), x11368 >= 0
   1'(z) -{ 2 }-> 1'(3'(1'(2'(1'(3'(3'(1'(0'(0'(0'(2'(1'(3'(2'(2'(2'(2'(2'(0'(0'(3'(0'(2'(2'(1'(2'(3'(1'(2'(3'(1'(1'(1'(2'(x11365))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11365))))))))))))))))))))))))))))))))), x11365 >= 0
   1'(z) -{ 2 }-> 1'(3'(1'(2'(1'(3'(3'(1'(0'(0'(0'(2'(1'(3'(2'(2'(2'(2'(0'(2'(0'(0'(1'(1'(2'(3'(1'(1'(0'(2'(3'(2'(3'(0'(2'(x11367))))))))))))))))))))))))))))))))))) :|: x11367 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11367)))))))))))))))))))))))))))))))))
   1'(z) -{ 2 }-> 1'(3'(1'(2'(1'(3'(3'(1'(0'(0'(0'(2'(1'(3'(2'(2'(2'(2'(0'(1'(1'(1'(0'(3'(1'(2'(1'(0'(1'(2'(3'(3'(3'(2'(3'(x11366))))))))))))))))))))))))))))))))))) :|: x11366 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11366)))))))))))))))))))))))))))))))))
   1'(z) -{ 2 }-> 1'(3'(1'(2'(1'(3'(3'(1'(0'(0'(0'(2'(1'(3'(2'(2'(2'(2'(0'(0'(2'(0'(2'(2'(1'(2'(1'(2'(3'(0'(3'(2'(3'(1'(0'(x11372))))))))))))))))))))))))))))))))))) :|: x11372 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11372)))))))))))))))))))))))))))))))))
   1'(z) -{ 2 }-> 1'(3'(1'(2'(1'(3'(3'(1'(0'(0'(0'(2'(1'(3'(2'(2'(2'(2'(0'(0'(1'(2'(2'(2'(1'(2'(2'(2'(0'(1'(2'(1'(2'(2'(1'(x11369))))))))))))))))))))))))))))))))))) :|: x11369 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11369)))))))))))))))))))))))))))))))))
   1'(z) -{ 1 }-> 1'(3'(1'(2'(1'(3'(3'(1'(0'(0'(0'(2'(1'(3'(2'(2'(2'(0))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   1'(z) -{ 1 }-> 1'(3'(1'(2'(1'(3'(3'(1'(0'(0'(0'(2'(1'(3'(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
   1'(z) -{ 1 }-> 1'(3'(1'(1'(1'(1'(1'(2'(1'(1'(3'(0'(3'(3'(0'(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
   1'(z) -{ 1 }-> 1'(3'(1'(1'(1'(0'(1'(3'(0'(0'(0'(0'(1'(1'(0'(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 }-> 1'(3'(0'(2'(1'(2'(0'(1'(2'(0'(0'(2'(2'(1'(3'(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'(2'(3'(0'(2'(2'(3'(0'(2'(3'(2'(1'(3'(1'(2'(0'(3'(3'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   1'(z) -{ 2 }-> 1'(2'(2'(3'(0'(2'(3'(0'(3'(2'(3'(1'(1'(0'(1'(2'(1'(2'(3'(2'(3'(0'(0'(2'(2'(2'(1'(1'(0'(3'(2'(0'(3'(3'(3'(x11459))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11459))))))))))))))))))))))))))))))))), x11459 >= 0
   1'(z) -{ 2 }-> 1'(2'(2'(3'(0'(2'(3'(0'(3'(2'(3'(1'(1'(0'(1'(2'(1'(2'(3'(1'(2'(1'(2'(0'(2'(2'(1'(0'(0'(3'(3'(2'(0'(3'(3'(x11453))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11453))))))))))))))))))))))))))))))))), x11453 >= 0
   1'(z) -{ 2 }-> 1'(2'(2'(3'(0'(2'(3'(0'(3'(2'(3'(1'(1'(0'(1'(2'(1'(2'(2'(3'(0'(3'(1'(2'(3'(3'(3'(0'(2'(1'(2'(2'(3'(2'(2'(x11460))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11460))))))))))))))))))))))))))))))))), x11460 >= 0
   1'(z) -{ 2 }-> 1'(2'(2'(3'(0'(2'(3'(0'(3'(2'(3'(1'(1'(0'(1'(2'(1'(2'(2'(1'(1'(1'(2'(2'(2'(1'(2'(1'(0'(3'(3'(3'(3'(3'(3'(x11457))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11457))))))))))))))))))))))))))))))))), x11457 >= 0
   1'(z) -{ 2 }-> 1'(2'(2'(3'(0'(2'(3'(0'(3'(2'(3'(1'(1'(0'(1'(2'(1'(2'(2'(0'(0'(3'(0'(2'(2'(1'(2'(3'(1'(2'(3'(1'(1'(1'(2'(x11454))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11454))))))))))))))))))))))))))))))))), x11454 >= 0
   1'(z) -{ 2 }-> 1'(2'(2'(3'(0'(2'(3'(0'(3'(2'(3'(1'(1'(0'(1'(2'(1'(2'(0'(2'(0'(0'(1'(1'(2'(3'(1'(1'(0'(2'(3'(2'(3'(0'(2'(x11456))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11456))))))))))))))))))))))))))))))))), x11456 >= 0
   1'(z) -{ 2 }-> 1'(2'(2'(3'(0'(2'(3'(0'(3'(2'(3'(1'(1'(0'(1'(2'(1'(2'(0'(1'(1'(1'(0'(3'(1'(2'(1'(0'(1'(2'(3'(3'(3'(2'(3'(x11455))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11455))))))))))))))))))))))))))))))))), x11455 >= 0
   1'(z) -{ 2 }-> 1'(2'(2'(3'(0'(2'(3'(0'(3'(2'(3'(1'(1'(0'(1'(2'(1'(2'(0'(0'(2'(0'(2'(2'(1'(2'(1'(2'(3'(0'(3'(2'(3'(1'(0'(x11461))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11461))))))))))))))))))))))))))))))))), x11461 >= 0
   1'(z) -{ 2 }-> 1'(2'(2'(3'(0'(2'(3'(0'(3'(2'(3'(1'(1'(0'(1'(2'(1'(2'(0'(0'(1'(2'(2'(2'(1'(2'(2'(2'(0'(1'(2'(1'(2'(2'(1'(x11458))))))))))))))))))))))))))))))))))) :|: x11458 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11458)))))))))))))))))))))))))))))))))
   1'(z) -{ 1 }-> 1'(2'(2'(3'(0'(2'(3'(0'(3'(2'(3'(1'(1'(0'(1'(2'(1'(0))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   1'(z) -{ 1 }-> 1'(2'(2'(3'(0'(2'(3'(0'(3'(2'(3'(1'(1'(0'(1'(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 }-> 1'(2'(2'(1'(1'(2'(1'(2'(0'(0'(3'(1'(2'(0'(0'(0'(3'(2'(3'(2'(3'(0'(0'(2'(2'(2'(1'(1'(0'(3'(2'(0'(3'(3'(3'(x11425))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11425))))))))))))))))))))))))))))))))), x11425 >= 0
   1'(z) -{ 2 }-> 1'(2'(2'(1'(1'(2'(1'(2'(0'(0'(3'(1'(2'(0'(0'(0'(3'(2'(3'(1'(2'(1'(2'(0'(2'(2'(1'(0'(0'(3'(3'(2'(0'(3'(3'(x11419))))))))))))))))))))))))))))))))))) :|: x11419 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11419)))))))))))))))))))))))))))))))))
   1'(z) -{ 2 }-> 1'(2'(2'(1'(1'(2'(1'(2'(0'(0'(3'(1'(2'(0'(0'(0'(3'(2'(2'(3'(0'(3'(1'(2'(3'(3'(3'(0'(2'(1'(2'(2'(3'(2'(2'(x11426))))))))))))))))))))))))))))))))))) :|: x11426 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11426)))))))))))))))))))))))))))))))))
   1'(z) -{ 2 }-> 1'(2'(2'(1'(1'(2'(1'(2'(0'(0'(3'(1'(2'(0'(0'(0'(3'(2'(2'(1'(1'(1'(2'(2'(2'(1'(2'(1'(0'(3'(3'(3'(3'(3'(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
   1'(z) -{ 2 }-> 1'(2'(2'(1'(1'(2'(1'(2'(0'(0'(3'(1'(2'(0'(0'(0'(3'(2'(2'(0'(0'(3'(0'(2'(2'(1'(2'(3'(1'(2'(3'(1'(1'(1'(2'(x11420))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11420))))))))))))))))))))))))))))))))), x11420 >= 0
   1'(z) -{ 2 }-> 1'(2'(2'(1'(1'(2'(1'(2'(0'(0'(3'(1'(2'(0'(0'(0'(3'(2'(0'(2'(0'(0'(1'(1'(2'(3'(1'(1'(0'(2'(3'(2'(3'(0'(2'(x11422))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11422))))))))))))))))))))))))))))))))), x11422 >= 0
   1'(z) -{ 2 }-> 1'(2'(2'(1'(1'(2'(1'(2'(0'(0'(3'(1'(2'(0'(0'(0'(3'(2'(0'(1'(1'(1'(0'(3'(1'(2'(1'(0'(1'(2'(3'(3'(3'(2'(3'(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)))))))))))))))))))))))))))))))))
   1'(z) -{ 2 }-> 1'(2'(2'(1'(1'(2'(1'(2'(0'(0'(3'(1'(2'(0'(0'(0'(3'(2'(0'(0'(2'(0'(2'(2'(1'(2'(1'(2'(3'(0'(3'(2'(3'(1'(0'(x11427))))))))))))))))))))))))))))))))))) :|: x11427 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11427)))))))))))))))))))))))))))))))))
   1'(z) -{ 2 }-> 1'(2'(2'(1'(1'(2'(1'(2'(0'(0'(3'(1'(2'(0'(0'(0'(3'(2'(0'(0'(1'(2'(2'(2'(1'(2'(2'(2'(0'(1'(2'(1'(2'(2'(1'(x11424))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11424))))))))))))))))))))))))))))))))), x11424 >= 0
   1'(z) -{ 1 }-> 1'(2'(2'(1'(1'(2'(1'(2'(0'(0'(3'(1'(2'(0'(0'(0'(3'(0))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   1'(z) -{ 1 }-> 1'(2'(2'(1'(1'(2'(1'(2'(0'(0'(3'(1'(2'(0'(0'(0'(3'(1 + x1))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   1'(z) -{ 2 }-> 1'(2'(2'(1'(1'(2'(0'(3'(1'(0'(3'(1'(0'(2'(2'(3'(0'(2'(3'(2'(3'(0'(0'(2'(2'(2'(1'(1'(0'(3'(2'(0'(3'(3'(3'(x1292))))))))))))))))))))))))))))))))))) :|: x1292 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1292)))))))))))))))))))))))))))))))))
   1'(z) -{ 2 }-> 1'(2'(2'(1'(1'(2'(0'(3'(1'(0'(3'(1'(0'(2'(2'(3'(0'(2'(3'(1'(2'(1'(2'(0'(2'(2'(1'(0'(0'(3'(3'(2'(0'(3'(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)))))))))))))))))))))))))))))))))
   1'(z) -{ 2 }-> 1'(2'(2'(1'(1'(2'(0'(3'(1'(0'(3'(1'(0'(2'(2'(3'(0'(2'(2'(3'(0'(3'(1'(2'(3'(3'(3'(0'(2'(1'(2'(2'(3'(2'(2'(x1293))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1293))))))))))))))))))))))))))))))))), x1293 >= 0
   1'(z) -{ 2 }-> 1'(2'(2'(1'(1'(2'(0'(3'(1'(0'(3'(1'(0'(2'(2'(3'(0'(2'(2'(1'(1'(1'(2'(2'(2'(1'(2'(1'(0'(3'(3'(3'(3'(3'(3'(x1290))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1290))))))))))))))))))))))))))))))))), x1290 >= 0
   1'(z) -{ 2 }-> 1'(2'(2'(1'(1'(2'(0'(3'(1'(0'(3'(1'(0'(2'(2'(3'(0'(2'(2'(0'(0'(3'(0'(2'(2'(1'(2'(3'(1'(2'(3'(1'(1'(1'(2'(x1287))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1287))))))))))))))))))))))))))))))))), x1287 >= 0
   1'(z) -{ 2 }-> 1'(2'(2'(1'(1'(2'(0'(3'(1'(0'(3'(1'(0'(2'(2'(3'(0'(2'(0'(2'(0'(0'(1'(1'(2'(3'(1'(1'(0'(2'(3'(2'(3'(0'(2'(x1289))))))))))))))))))))))))))))))))))) :|: x1289 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1289)))))))))))))))))))))))))))))))))
   1'(z) -{ 2 }-> 1'(2'(2'(1'(1'(2'(0'(3'(1'(0'(3'(1'(0'(2'(2'(3'(0'(2'(0'(1'(1'(1'(0'(3'(1'(2'(1'(0'(1'(2'(3'(3'(3'(2'(3'(x1288))))))))))))))))))))))))))))))))))) :|: x1288 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1288)))))))))))))))))))))))))))))))))
   1'(z) -{ 2 }-> 1'(2'(2'(1'(1'(2'(0'(3'(1'(0'(3'(1'(0'(2'(2'(3'(0'(2'(0'(0'(2'(0'(2'(2'(1'(2'(1'(2'(3'(0'(3'(2'(3'(1'(0'(x1294))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1294))))))))))))))))))))))))))))))))), x1294 >= 0
   1'(z) -{ 2 }-> 1'(2'(2'(1'(1'(2'(0'(3'(1'(0'(3'(1'(0'(2'(2'(3'(0'(2'(0'(0'(1'(2'(2'(2'(1'(2'(2'(2'(0'(1'(2'(1'(2'(2'(1'(x1291))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1291))))))))))))))))))))))))))))))))), x1291 >= 0
   1'(z) -{ 1 }-> 1'(2'(2'(1'(1'(2'(0'(3'(1'(0'(3'(1'(0'(2'(2'(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'(2'(2'(1'(1'(2'(0'(3'(1'(0'(3'(1'(0'(2'(2'(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'(1'(2'(2'(1'(2'(1'(0'(1'(2'(2'(0'(2'(3'(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
   1'(z) -{ 1 }-> 1'(2'(1'(1'(3'(2'(0'(1'(0'(2'(1'(0'(2'(3'(1'(2'(3'(1'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   1'(z) -{ 1 }-> 1'(2'(0'(3'(1'(1'(1'(0'(1'(2'(1'(2'(1'(1'(1'(3'(0'(3'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   1'(z) -{ 1 }-> 1'(2'(0'(0'(0'(0'(0'(3'(1'(3'(3'(3'(2'(1'(2'(3'(1'(0'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   1'(z) -{ 2 }-> 1'(1'(2'(3'(1'(3'(0'(1'(1'(1'(2'(3'(0'(2'(3'(1'(1'(2'(3'(2'(3'(0'(0'(2'(2'(2'(1'(1'(0'(3'(2'(0'(3'(3'(3'(x1905))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1905))))))))))))))))))))))))))))))))), x1905 >= 0
   1'(z) -{ 2 }-> 1'(1'(2'(3'(1'(3'(0'(1'(1'(1'(2'(3'(0'(2'(3'(1'(1'(2'(3'(1'(2'(1'(2'(0'(2'(2'(1'(0'(0'(3'(3'(2'(0'(3'(3'(x1899))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1899))))))))))))))))))))))))))))))))), x1899 >= 0
   1'(z) -{ 2 }-> 1'(1'(2'(3'(1'(3'(0'(1'(1'(1'(2'(3'(0'(2'(3'(1'(1'(2'(2'(3'(0'(3'(1'(2'(3'(3'(3'(0'(2'(1'(2'(2'(3'(2'(2'(x1906))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1906))))))))))))))))))))))))))))))))), x1906 >= 0
   1'(z) -{ 2 }-> 1'(1'(2'(3'(1'(3'(0'(1'(1'(1'(2'(3'(0'(2'(3'(1'(1'(2'(2'(1'(1'(1'(2'(2'(2'(1'(2'(1'(0'(3'(3'(3'(3'(3'(3'(x1903))))))))))))))))))))))))))))))))))) :|: x1903 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1903)))))))))))))))))))))))))))))))))
   1'(z) -{ 2 }-> 1'(1'(2'(3'(1'(3'(0'(1'(1'(1'(2'(3'(0'(2'(3'(1'(1'(2'(2'(0'(0'(3'(0'(2'(2'(1'(2'(3'(1'(2'(3'(1'(1'(1'(2'(x1900))))))))))))))))))))))))))))))))))) :|: x1900 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1900)))))))))))))))))))))))))))))))))
   1'(z) -{ 2 }-> 1'(1'(2'(3'(1'(3'(0'(1'(1'(1'(2'(3'(0'(2'(3'(1'(1'(2'(0'(2'(0'(0'(1'(1'(2'(3'(1'(1'(0'(2'(3'(2'(3'(0'(2'(x1902))))))))))))))))))))))))))))))))))) :|: x1902 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1902)))))))))))))))))))))))))))))))))
   1'(z) -{ 2 }-> 1'(1'(2'(3'(1'(3'(0'(1'(1'(1'(2'(3'(0'(2'(3'(1'(1'(2'(0'(1'(1'(1'(0'(3'(1'(2'(1'(0'(1'(2'(3'(3'(3'(2'(3'(x1901))))))))))))))))))))))))))))))))))) :|: x1901 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1901)))))))))))))))))))))))))))))))))
   1'(z) -{ 2 }-> 1'(1'(2'(3'(1'(3'(0'(1'(1'(1'(2'(3'(0'(2'(3'(1'(1'(2'(0'(0'(2'(0'(2'(2'(1'(2'(1'(2'(3'(0'(3'(2'(3'(1'(0'(x1907))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1907))))))))))))))))))))))))))))))))), x1907 >= 0
   1'(z) -{ 2 }-> 1'(1'(2'(3'(1'(3'(0'(1'(1'(1'(2'(3'(0'(2'(3'(1'(1'(2'(0'(0'(1'(2'(2'(2'(1'(2'(2'(2'(0'(1'(2'(1'(2'(2'(1'(x1904))))))))))))))))))))))))))))))))))) :|: x1904 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1904)))))))))))))))))))))))))))))))))
   1'(z) -{ 1 }-> 1'(1'(2'(3'(1'(3'(0'(1'(1'(1'(2'(3'(0'(2'(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
   1'(z) -{ 1 }-> 1'(1'(2'(3'(1'(3'(0'(1'(1'(1'(2'(3'(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 }-> 1'(1'(0'(3'(2'(3'(1'(2'(1'(2'(0'(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
   1'(z) -{ 2 }-> 1'(0'(3'(0'(0'(3'(3'(1'(2'(3'(1'(2'(1'(1'(2'(3'(1'(2'(3'(2'(3'(0'(0'(2'(2'(2'(1'(1'(0'(3'(2'(0'(3'(3'(3'(x1896))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1896))))))))))))))))))))))))))))))))), x1896 >= 0
   1'(z) -{ 2 }-> 1'(0'(3'(0'(0'(3'(3'(1'(2'(3'(1'(2'(1'(1'(2'(3'(1'(2'(3'(1'(2'(1'(2'(0'(2'(2'(1'(0'(0'(3'(3'(2'(0'(3'(3'(x1890))))))))))))))))))))))))))))))))))) :|: x1890 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1890)))))))))))))))))))))))))))))))))
   1'(z) -{ 2 }-> 1'(0'(3'(0'(0'(3'(3'(1'(2'(3'(1'(2'(1'(1'(2'(3'(1'(2'(2'(3'(0'(3'(1'(2'(3'(3'(3'(0'(2'(1'(2'(2'(3'(2'(2'(x1897))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1897))))))))))))))))))))))))))))))))), x1897 >= 0
   1'(z) -{ 2 }-> 1'(0'(3'(0'(0'(3'(3'(1'(2'(3'(1'(2'(1'(1'(2'(3'(1'(2'(2'(1'(1'(1'(2'(2'(2'(1'(2'(1'(0'(3'(3'(3'(3'(3'(3'(x1894))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1894))))))))))))))))))))))))))))))))), x1894 >= 0
   1'(z) -{ 2 }-> 1'(0'(3'(0'(0'(3'(3'(1'(2'(3'(1'(2'(1'(1'(2'(3'(1'(2'(2'(0'(0'(3'(0'(2'(2'(1'(2'(3'(1'(2'(3'(1'(1'(1'(2'(x1891))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1891))))))))))))))))))))))))))))))))), x1891 >= 0
   1'(z) -{ 2 }-> 1'(0'(3'(0'(0'(3'(3'(1'(2'(3'(1'(2'(1'(1'(2'(3'(1'(2'(0'(2'(0'(0'(1'(1'(2'(3'(1'(1'(0'(2'(3'(2'(3'(0'(2'(x1893))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1893))))))))))))))))))))))))))))))))), x1893 >= 0
   1'(z) -{ 2 }-> 1'(0'(3'(0'(0'(3'(3'(1'(2'(3'(1'(2'(1'(1'(2'(3'(1'(2'(0'(1'(1'(1'(0'(3'(1'(2'(1'(0'(1'(2'(3'(3'(3'(2'(3'(x1892))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1892))))))))))))))))))))))))))))))))), x1892 >= 0
   1'(z) -{ 2 }-> 1'(0'(3'(0'(0'(3'(3'(1'(2'(3'(1'(2'(1'(1'(2'(3'(1'(2'(0'(0'(2'(0'(2'(2'(1'(2'(1'(2'(3'(0'(3'(2'(3'(1'(0'(x1898))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1898))))))))))))))))))))))))))))))))), x1898 >= 0
   1'(z) -{ 2 }-> 1'(0'(3'(0'(0'(3'(3'(1'(2'(3'(1'(2'(1'(1'(2'(3'(1'(2'(0'(0'(1'(2'(2'(2'(1'(2'(2'(2'(0'(1'(2'(1'(2'(2'(1'(x1895))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1895))))))))))))))))))))))))))))))))), x1895 >= 0
   1'(z) -{ 1 }-> 1'(0'(3'(0'(0'(3'(3'(1'(2'(3'(1'(2'(1'(1'(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
   1'(z) -{ 1 }-> 1'(0'(3'(0'(0'(3'(3'(1'(2'(3'(1'(2'(1'(1'(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
   1'(z) -{ 1 }-> 1'(0'(3'(0'(0'(0'(2'(2'(3'(3'(1'(2'(0'(1'(2'(1'(2'(1'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   1'(z) -{ 1 }-> 1'(0'(2'(1'(0'(1'(0'(2'(0'(3'(3'(3'(1'(2'(0'(0'(3'(3'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   1'(z) -{ 0 }-> 0 :|: v0 >= 0, z = v0
   1'(z) -{ 0 }-> 1 + x0 :|: z = x0, x0 >= 0
   2'(z) -{ 1 }-> 2'(3'(2'(3'(0'(0'(2'(2'(2'(1'(1'(0'(3'(2'(0'(3'(3'(3'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   2'(z) -{ 1 }-> 2'(3'(1'(2'(1'(2'(0'(2'(2'(1'(0'(0'(3'(3'(2'(0'(3'(3'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   2'(z) -{ 2 }-> 2'(2'(3'(0'(3'(1'(2'(3'(3'(3'(0'(2'(1'(2'(2'(3'(2'(2'(3'(2'(3'(0'(0'(2'(2'(2'(1'(1'(0'(3'(2'(0'(3'(3'(3'(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
   2'(z) -{ 2 }-> 2'(2'(3'(0'(3'(1'(2'(3'(3'(3'(0'(2'(1'(2'(2'(3'(2'(2'(3'(1'(2'(1'(2'(0'(2'(2'(1'(0'(0'(3'(3'(2'(0'(3'(3'(x11250))))))))))))))))))))))))))))))))))) :|: x11250 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11250)))))))))))))))))))))))))))))))))
   2'(z) -{ 2 }-> 2'(2'(3'(0'(3'(1'(2'(3'(3'(3'(0'(2'(1'(2'(2'(3'(2'(2'(2'(3'(0'(3'(1'(2'(3'(3'(3'(0'(2'(1'(2'(2'(3'(2'(2'(x11257))))))))))))))))))))))))))))))))))) :|: x11257 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11257)))))))))))))))))))))))))))))))))
   2'(z) -{ 2 }-> 2'(2'(3'(0'(3'(1'(2'(3'(3'(3'(0'(2'(1'(2'(2'(3'(2'(2'(2'(1'(1'(1'(2'(2'(2'(1'(2'(1'(0'(3'(3'(3'(3'(3'(3'(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)))))))))))))))))))))))))))))))))
   2'(z) -{ 2 }-> 2'(2'(3'(0'(3'(1'(2'(3'(3'(3'(0'(2'(1'(2'(2'(3'(2'(2'(2'(0'(0'(3'(0'(2'(2'(1'(2'(3'(1'(2'(3'(1'(1'(1'(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)))))))))))))))))))))))))))))))))
   2'(z) -{ 2 }-> 2'(2'(3'(0'(3'(1'(2'(3'(3'(3'(0'(2'(1'(2'(2'(3'(2'(2'(0'(2'(0'(0'(1'(1'(2'(3'(1'(1'(0'(2'(3'(2'(3'(0'(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)))))))))))))))))))))))))))))))))
   2'(z) -{ 2 }-> 2'(2'(3'(0'(3'(1'(2'(3'(3'(3'(0'(2'(1'(2'(2'(3'(2'(2'(0'(1'(1'(1'(0'(3'(1'(2'(1'(0'(1'(2'(3'(3'(3'(2'(3'(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)))))))))))))))))))))))))))))))))
   2'(z) -{ 2 }-> 2'(2'(3'(0'(3'(1'(2'(3'(3'(3'(0'(2'(1'(2'(2'(3'(2'(2'(0'(0'(2'(0'(2'(2'(1'(2'(1'(2'(3'(0'(3'(2'(3'(1'(0'(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)))))))))))))))))))))))))))))))))
   2'(z) -{ 2 }-> 2'(2'(3'(0'(3'(1'(2'(3'(3'(3'(0'(2'(1'(2'(2'(3'(2'(2'(0'(0'(1'(2'(2'(2'(1'(2'(2'(2'(0'(1'(2'(1'(2'(2'(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
   2'(z) -{ 1 }-> 2'(2'(3'(0'(3'(1'(2'(3'(3'(3'(0'(2'(1'(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
   2'(z) -{ 1 }-> 2'(2'(3'(0'(3'(1'(2'(3'(3'(3'(0'(2'(1'(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
   2'(z) -{ 1 }-> 2'(2'(1'(1'(1'(2'(2'(2'(1'(2'(1'(0'(3'(3'(3'(3'(3'(3'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   2'(z) -{ 2 }-> 2'(2'(0'(0'(3'(0'(2'(2'(1'(2'(3'(1'(2'(3'(1'(1'(1'(2'(3'(2'(3'(0'(0'(2'(2'(2'(1'(1'(0'(3'(2'(0'(3'(3'(3'(x1101))))))))))))))))))))))))))))))))))) :|: x1101 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1101)))))))))))))))))))))))))))))))))
   2'(z) -{ 2 }-> 2'(2'(0'(0'(3'(0'(2'(2'(1'(2'(3'(1'(2'(3'(1'(1'(1'(2'(3'(1'(2'(1'(2'(0'(2'(2'(1'(0'(0'(3'(3'(2'(0'(3'(3'(x195))))))))))))))))))))))))))))))))))) :|: x195 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x195)))))))))))))))))))))))))))))))))
   2'(z) -{ 2 }-> 2'(2'(0'(0'(3'(0'(2'(2'(1'(2'(3'(1'(2'(3'(1'(1'(1'(2'(2'(3'(0'(3'(1'(2'(3'(3'(3'(0'(2'(1'(2'(2'(3'(2'(2'(x1102))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1102))))))))))))))))))))))))))))))))), x1102 >= 0
   2'(z) -{ 2 }-> 2'(2'(0'(0'(3'(0'(2'(2'(1'(2'(3'(1'(2'(3'(1'(1'(1'(2'(2'(1'(1'(1'(2'(2'(2'(1'(2'(1'(0'(3'(3'(3'(3'(3'(3'(x199))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x199))))))))))))))))))))))))))))))))), x199 >= 0
   2'(z) -{ 2 }-> 2'(2'(0'(0'(3'(0'(2'(2'(1'(2'(3'(1'(2'(3'(1'(1'(1'(2'(2'(0'(0'(3'(0'(2'(2'(1'(2'(3'(1'(2'(3'(1'(1'(1'(2'(x196))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x196))))))))))))))))))))))))))))))))), x196 >= 0
   2'(z) -{ 2 }-> 2'(2'(0'(0'(3'(0'(2'(2'(1'(2'(3'(1'(2'(3'(1'(1'(1'(2'(0'(2'(0'(0'(1'(1'(2'(3'(1'(1'(0'(2'(3'(2'(3'(0'(2'(x198))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x198))))))))))))))))))))))))))))))))), x198 >= 0
   2'(z) -{ 2 }-> 2'(2'(0'(0'(3'(0'(2'(2'(1'(2'(3'(1'(2'(3'(1'(1'(1'(2'(0'(1'(1'(1'(0'(3'(1'(2'(1'(0'(1'(2'(3'(3'(3'(2'(3'(x197))))))))))))))))))))))))))))))))))) :|: x197 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x197)))))))))))))))))))))))))))))))))
   2'(z) -{ 2 }-> 2'(2'(0'(0'(3'(0'(2'(2'(1'(2'(3'(1'(2'(3'(1'(1'(1'(2'(0'(0'(2'(0'(2'(2'(1'(2'(1'(2'(3'(0'(3'(2'(3'(1'(0'(x1103))))))))))))))))))))))))))))))))))) :|: x1103 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1103)))))))))))))))))))))))))))))))))
   2'(z) -{ 2 }-> 2'(2'(0'(0'(3'(0'(2'(2'(1'(2'(3'(1'(2'(3'(1'(1'(1'(2'(0'(0'(1'(2'(2'(2'(1'(2'(2'(2'(0'(1'(2'(1'(2'(2'(1'(x1100))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1100))))))))))))))))))))))))))))))))), x1100 >= 0
   2'(z) -{ 1 }-> 2'(2'(0'(0'(3'(0'(2'(2'(1'(2'(3'(1'(2'(3'(1'(1'(1'(0))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   2'(z) -{ 1 }-> 2'(2'(0'(0'(3'(0'(2'(2'(1'(2'(3'(1'(2'(3'(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) -{ 2 }-> 2'(0'(2'(0'(0'(1'(1'(2'(3'(1'(1'(0'(2'(3'(2'(3'(0'(2'(3'(2'(3'(0'(0'(2'(2'(2'(1'(1'(0'(3'(2'(0'(3'(3'(3'(x1397))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1397))))))))))))))))))))))))))))))))), x1397 >= 0
   2'(z) -{ 2 }-> 2'(0'(2'(0'(0'(1'(1'(2'(3'(1'(1'(0'(2'(3'(2'(3'(0'(2'(3'(1'(2'(1'(2'(0'(2'(2'(1'(0'(0'(3'(3'(2'(0'(3'(3'(x1391))))))))))))))))))))))))))))))))))) :|: x1391 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1391)))))))))))))))))))))))))))))))))
   2'(z) -{ 2 }-> 2'(0'(2'(0'(0'(1'(1'(2'(3'(1'(1'(0'(2'(3'(2'(3'(0'(2'(2'(3'(0'(3'(1'(2'(3'(3'(3'(0'(2'(1'(2'(2'(3'(2'(2'(x1398))))))))))))))))))))))))))))))))))) :|: x1398 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1398)))))))))))))))))))))))))))))))))
   2'(z) -{ 2 }-> 2'(0'(2'(0'(0'(1'(1'(2'(3'(1'(1'(0'(2'(3'(2'(3'(0'(2'(2'(1'(1'(1'(2'(2'(2'(1'(2'(1'(0'(3'(3'(3'(3'(3'(3'(x1395))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1395))))))))))))))))))))))))))))))))), x1395 >= 0
   2'(z) -{ 2 }-> 2'(0'(2'(0'(0'(1'(1'(2'(3'(1'(1'(0'(2'(3'(2'(3'(0'(2'(2'(0'(0'(3'(0'(2'(2'(1'(2'(3'(1'(2'(3'(1'(1'(1'(2'(x1392))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1392))))))))))))))))))))))))))))))))), x1392 >= 0
   2'(z) -{ 2 }-> 2'(0'(2'(0'(0'(1'(1'(2'(3'(1'(1'(0'(2'(3'(2'(3'(0'(2'(0'(2'(0'(0'(1'(1'(2'(3'(1'(1'(0'(2'(3'(2'(3'(0'(2'(x1394))))))))))))))))))))))))))))))))))) :|: x1394 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1394)))))))))))))))))))))))))))))))))
   2'(z) -{ 2 }-> 2'(0'(2'(0'(0'(1'(1'(2'(3'(1'(1'(0'(2'(3'(2'(3'(0'(2'(0'(1'(1'(1'(0'(3'(1'(2'(1'(0'(1'(2'(3'(3'(3'(2'(3'(x1393))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1393))))))))))))))))))))))))))))))))), x1393 >= 0
   2'(z) -{ 2 }-> 2'(0'(2'(0'(0'(1'(1'(2'(3'(1'(1'(0'(2'(3'(2'(3'(0'(2'(0'(0'(2'(0'(2'(2'(1'(2'(1'(2'(3'(0'(3'(2'(3'(1'(0'(x1399))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1399))))))))))))))))))))))))))))))))), x1399 >= 0
   2'(z) -{ 2 }-> 2'(0'(2'(0'(0'(1'(1'(2'(3'(1'(1'(0'(2'(3'(2'(3'(0'(2'(0'(0'(1'(2'(2'(2'(1'(2'(2'(2'(0'(1'(2'(1'(2'(2'(1'(x1396))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1396))))))))))))))))))))))))))))))))), x1396 >= 0
   2'(z) -{ 1 }-> 2'(0'(2'(0'(0'(1'(1'(2'(3'(1'(1'(0'(2'(3'(2'(3'(0'(0))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   2'(z) -{ 1 }-> 2'(0'(2'(0'(0'(1'(1'(2'(3'(1'(1'(0'(2'(3'(2'(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
   2'(z) -{ 1 }-> 2'(0'(1'(1'(1'(0'(3'(1'(2'(1'(0'(1'(2'(3'(3'(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'(0'(0'(2'(0'(2'(2'(1'(2'(1'(2'(3'(0'(3'(2'(3'(1'(0'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   2'(z) -{ 1 }-> 2'(0'(0'(1'(2'(2'(2'(1'(2'(2'(2'(0'(1'(2'(1'(2'(2'(1'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   2'(z) -{ 0 }-> 0 :|: v0 >= 0, z = v0
   2'(z) -{ 0 }-> 1 + x0 :|: z = x0, x0 >= 0
   3'(z) -{ 1 }-> 3'(3'(3'(0'(3'(2'(0'(2'(3'(0'(2'(2'(0'(1'(3'(0'(3'(0'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   3'(z) -{ 1 }-> 3'(3'(2'(0'(3'(1'(0'(2'(1'(2'(3'(0'(1'(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
   3'(z) -{ 1 }-> 3'(3'(1'(0'(0'(2'(1'(1'(1'(2'(3'(1'(1'(2'(0'(0'(3'(0'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   3'(z) -{ 2 }-> 3'(2'(3'(2'(3'(1'(2'(3'(1'(2'(3'(3'(2'(3'(2'(1'(1'(2'(3'(2'(3'(0'(0'(2'(2'(2'(1'(1'(0'(3'(2'(0'(3'(3'(3'(x11468))))))))))))))))))))))))))))))))))) :|: x11468 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11468)))))))))))))))))))))))))))))))))
   3'(z) -{ 2 }-> 3'(2'(3'(2'(3'(1'(2'(3'(1'(2'(3'(3'(2'(3'(2'(1'(1'(2'(3'(1'(2'(1'(2'(0'(2'(2'(1'(0'(0'(3'(3'(2'(0'(3'(3'(x11462))))))))))))))))))))))))))))))))))) :|: x11462 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11462)))))))))))))))))))))))))))))))))
   3'(z) -{ 2 }-> 3'(2'(3'(2'(3'(1'(2'(3'(1'(2'(3'(3'(2'(3'(2'(1'(1'(2'(2'(3'(0'(3'(1'(2'(3'(3'(3'(0'(2'(1'(2'(2'(3'(2'(2'(x11469))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11469))))))))))))))))))))))))))))))))), x11469 >= 0
   3'(z) -{ 2 }-> 3'(2'(3'(2'(3'(1'(2'(3'(1'(2'(3'(3'(2'(3'(2'(1'(1'(2'(2'(1'(1'(1'(2'(2'(2'(1'(2'(1'(0'(3'(3'(3'(3'(3'(3'(x11466))))))))))))))))))))))))))))))))))) :|: x11466 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11466)))))))))))))))))))))))))))))))))
   3'(z) -{ 2 }-> 3'(2'(3'(2'(3'(1'(2'(3'(1'(2'(3'(3'(2'(3'(2'(1'(1'(2'(2'(0'(0'(3'(0'(2'(2'(1'(2'(3'(1'(2'(3'(1'(1'(1'(2'(x11463))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11463))))))))))))))))))))))))))))))))), x11463 >= 0
   3'(z) -{ 2 }-> 3'(2'(3'(2'(3'(1'(2'(3'(1'(2'(3'(3'(2'(3'(2'(1'(1'(2'(0'(2'(0'(0'(1'(1'(2'(3'(1'(1'(0'(2'(3'(2'(3'(0'(2'(x11465))))))))))))))))))))))))))))))))))) :|: x11465 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11465)))))))))))))))))))))))))))))))))
   3'(z) -{ 2 }-> 3'(2'(3'(2'(3'(1'(2'(3'(1'(2'(3'(3'(2'(3'(2'(1'(1'(2'(0'(1'(1'(1'(0'(3'(1'(2'(1'(0'(1'(2'(3'(3'(3'(2'(3'(x11464))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11464))))))))))))))))))))))))))))))))), x11464 >= 0
   3'(z) -{ 2 }-> 3'(2'(3'(2'(3'(1'(2'(3'(1'(2'(3'(3'(2'(3'(2'(1'(1'(2'(0'(0'(2'(0'(2'(2'(1'(2'(1'(2'(3'(0'(3'(2'(3'(1'(0'(x11470))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11470))))))))))))))))))))))))))))))))), x11470 >= 0
   3'(z) -{ 2 }-> 3'(2'(3'(2'(3'(1'(2'(3'(1'(2'(3'(3'(2'(3'(2'(1'(1'(2'(0'(0'(1'(2'(2'(2'(1'(2'(2'(2'(0'(1'(2'(1'(2'(2'(1'(x11467))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11467))))))))))))))))))))))))))))))))), x11467 >= 0
   3'(z) -{ 1 }-> 3'(2'(3'(2'(3'(1'(2'(3'(1'(2'(3'(3'(2'(3'(2'(1'(1'(0))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   3'(z) -{ 1 }-> 3'(2'(3'(2'(3'(1'(2'(3'(1'(2'(3'(3'(2'(3'(2'(1'(1'(1 + x1))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   3'(z) -{ 2 }-> 3'(2'(3'(1'(1'(2'(3'(0'(2'(1'(3'(1'(1'(2'(3'(0'(2'(2'(3'(2'(3'(0'(0'(2'(2'(2'(1'(1'(0'(3'(2'(0'(3'(3'(3'(x1960))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1960))))))))))))))))))))))))))))))))), x1960 >= 0
   3'(z) -{ 2 }-> 3'(2'(3'(1'(1'(2'(3'(0'(2'(1'(3'(1'(1'(2'(3'(0'(2'(2'(3'(1'(2'(1'(2'(0'(2'(2'(1'(0'(0'(3'(3'(2'(0'(3'(3'(x1954))))))))))))))))))))))))))))))))))) :|: x1954 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1954)))))))))))))))))))))))))))))))))
   3'(z) -{ 2 }-> 3'(2'(3'(1'(1'(2'(3'(0'(2'(1'(3'(1'(1'(2'(3'(0'(2'(2'(2'(3'(0'(3'(1'(2'(3'(3'(3'(0'(2'(1'(2'(2'(3'(2'(2'(x1961))))))))))))))))))))))))))))))))))) :|: x1961 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1961)))))))))))))))))))))))))))))))))
   3'(z) -{ 2 }-> 3'(2'(3'(1'(1'(2'(3'(0'(2'(1'(3'(1'(1'(2'(3'(0'(2'(2'(2'(1'(1'(1'(2'(2'(2'(1'(2'(1'(0'(3'(3'(3'(3'(3'(3'(x1958))))))))))))))))))))))))))))))))))) :|: x1958 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1958)))))))))))))))))))))))))))))))))
   3'(z) -{ 2 }-> 3'(2'(3'(1'(1'(2'(3'(0'(2'(1'(3'(1'(1'(2'(3'(0'(2'(2'(2'(0'(0'(3'(0'(2'(2'(1'(2'(3'(1'(2'(3'(1'(1'(1'(2'(x1955))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1955))))))))))))))))))))))))))))))))), x1955 >= 0
   3'(z) -{ 2 }-> 3'(2'(3'(1'(1'(2'(3'(0'(2'(1'(3'(1'(1'(2'(3'(0'(2'(2'(0'(2'(0'(0'(1'(1'(2'(3'(1'(1'(0'(2'(3'(2'(3'(0'(2'(x1957))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1957))))))))))))))))))))))))))))))))), x1957 >= 0
   3'(z) -{ 2 }-> 3'(2'(3'(1'(1'(2'(3'(0'(2'(1'(3'(1'(1'(2'(3'(0'(2'(2'(0'(1'(1'(1'(0'(3'(1'(2'(1'(0'(1'(2'(3'(3'(3'(2'(3'(x1956))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1956))))))))))))))))))))))))))))))))), x1956 >= 0
   3'(z) -{ 2 }-> 3'(2'(3'(1'(1'(2'(3'(0'(2'(1'(3'(1'(1'(2'(3'(0'(2'(2'(0'(0'(2'(0'(2'(2'(1'(2'(1'(2'(3'(0'(3'(2'(3'(1'(0'(x1962))))))))))))))))))))))))))))))))))) :|: x1962 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1962)))))))))))))))))))))))))))))))))
   3'(z) -{ 2 }-> 3'(2'(3'(1'(1'(2'(3'(0'(2'(1'(3'(1'(1'(2'(3'(0'(2'(2'(0'(0'(1'(2'(2'(2'(1'(2'(2'(2'(0'(1'(2'(1'(2'(2'(1'(x1959))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1959))))))))))))))))))))))))))))))))), x1959 >= 0
   3'(z) -{ 1 }-> 3'(2'(3'(1'(1'(2'(3'(0'(2'(1'(3'(1'(1'(2'(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
   3'(z) -{ 1 }-> 3'(2'(3'(1'(1'(2'(3'(0'(2'(1'(3'(1'(1'(2'(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
   3'(z) -{ 1 }-> 3'(2'(3'(1'(0'(2'(2'(2'(1'(3'(3'(2'(1'(0'(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
   3'(z) -{ 2 }-> 3'(2'(2'(3'(3'(0'(3'(1'(2'(2'(0'(1'(0'(0'(2'(2'(1'(2'(3'(2'(3'(0'(0'(2'(2'(2'(1'(1'(0'(3'(2'(0'(3'(3'(3'(x1629))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1629))))))))))))))))))))))))))))))))), x1629 >= 0
   3'(z) -{ 2 }-> 3'(2'(2'(3'(3'(0'(3'(1'(2'(2'(0'(1'(0'(0'(2'(2'(1'(2'(3'(1'(2'(1'(2'(0'(2'(2'(1'(0'(0'(3'(3'(2'(0'(3'(3'(x1623))))))))))))))))))))))))))))))))))) :|: x1623 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1623)))))))))))))))))))))))))))))))))
   3'(z) -{ 2 }-> 3'(2'(2'(3'(3'(0'(3'(1'(2'(2'(0'(1'(0'(0'(2'(2'(1'(2'(2'(3'(0'(3'(1'(2'(3'(3'(3'(0'(2'(1'(2'(2'(3'(2'(2'(x1630))))))))))))))))))))))))))))))))))) :|: x1630 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1630)))))))))))))))))))))))))))))))))
   3'(z) -{ 2 }-> 3'(2'(2'(3'(3'(0'(3'(1'(2'(2'(0'(1'(0'(0'(2'(2'(1'(2'(2'(1'(1'(1'(2'(2'(2'(1'(2'(1'(0'(3'(3'(3'(3'(3'(3'(x1627))))))))))))))))))))))))))))))))))) :|: x1627 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1627)))))))))))))))))))))))))))))))))
   3'(z) -{ 2 }-> 3'(2'(2'(3'(3'(0'(3'(1'(2'(2'(0'(1'(0'(0'(2'(2'(1'(2'(2'(0'(0'(3'(0'(2'(2'(1'(2'(3'(1'(2'(3'(1'(1'(1'(2'(x1624))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1624))))))))))))))))))))))))))))))))), x1624 >= 0
   3'(z) -{ 2 }-> 3'(2'(2'(3'(3'(0'(3'(1'(2'(2'(0'(1'(0'(0'(2'(2'(1'(2'(0'(2'(0'(0'(1'(1'(2'(3'(1'(1'(0'(2'(3'(2'(3'(0'(2'(x1626))))))))))))))))))))))))))))))))))) :|: x1626 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1626)))))))))))))))))))))))))))))))))
   3'(z) -{ 2 }-> 3'(2'(2'(3'(3'(0'(3'(1'(2'(2'(0'(1'(0'(0'(2'(2'(1'(2'(0'(1'(1'(1'(0'(3'(1'(2'(1'(0'(1'(2'(3'(3'(3'(2'(3'(x1625))))))))))))))))))))))))))))))))))) :|: x1625 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1625)))))))))))))))))))))))))))))))))
   3'(z) -{ 2 }-> 3'(2'(2'(3'(3'(0'(3'(1'(2'(2'(0'(1'(0'(0'(2'(2'(1'(2'(0'(0'(2'(0'(2'(2'(1'(2'(1'(2'(3'(0'(3'(2'(3'(1'(0'(x1631))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1631))))))))))))))))))))))))))))))))), x1631 >= 0
   3'(z) -{ 2 }-> 3'(2'(2'(3'(3'(0'(3'(1'(2'(2'(0'(1'(0'(0'(2'(2'(1'(2'(0'(0'(1'(2'(2'(2'(1'(2'(2'(2'(0'(1'(2'(1'(2'(2'(1'(x1628))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1628))))))))))))))))))))))))))))))))), x1628 >= 0
   3'(z) -{ 1 }-> 3'(2'(2'(3'(3'(0'(3'(1'(2'(2'(0'(1'(0'(0'(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
   3'(z) -{ 1 }-> 3'(2'(2'(3'(3'(0'(3'(1'(2'(2'(0'(1'(0'(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'(2'(0'(3'(1'(2'(0'(3'(3'(1'(1'(1'(0'(2'(3'(2'(3'(3'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   3'(z) -{ 2 }-> 3'(2'(0'(1'(2'(0'(1'(3'(3'(2'(3'(3'(3'(3'(1'(2'(2'(2'(3'(2'(3'(0'(0'(2'(2'(2'(1'(1'(0'(3'(2'(0'(3'(3'(3'(x11197))))))))))))))))))))))))))))))))))) :|: x11197 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11197)))))))))))))))))))))))))))))))))
   3'(z) -{ 2 }-> 3'(2'(0'(1'(2'(0'(1'(3'(3'(2'(3'(3'(3'(3'(1'(2'(2'(2'(3'(1'(2'(1'(2'(0'(2'(2'(1'(0'(0'(3'(3'(2'(0'(3'(3'(x11191))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11191))))))))))))))))))))))))))))))))), x11191 >= 0
   3'(z) -{ 2 }-> 3'(2'(0'(1'(2'(0'(1'(3'(3'(2'(3'(3'(3'(3'(1'(2'(2'(2'(2'(3'(0'(3'(1'(2'(3'(3'(3'(0'(2'(1'(2'(2'(3'(2'(2'(x11198))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11198))))))))))))))))))))))))))))))))), x11198 >= 0
   3'(z) -{ 2 }-> 3'(2'(0'(1'(2'(0'(1'(3'(3'(2'(3'(3'(3'(3'(1'(2'(2'(2'(2'(1'(1'(1'(2'(2'(2'(1'(2'(1'(0'(3'(3'(3'(3'(3'(3'(x11195))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11195))))))))))))))))))))))))))))))))), x11195 >= 0
   3'(z) -{ 2 }-> 3'(2'(0'(1'(2'(0'(1'(3'(3'(2'(3'(3'(3'(3'(1'(2'(2'(2'(2'(0'(0'(3'(0'(2'(2'(1'(2'(3'(1'(2'(3'(1'(1'(1'(2'(x11192))))))))))))))))))))))))))))))))))) :|: x11192 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11192)))))))))))))))))))))))))))))))))
   3'(z) -{ 2 }-> 3'(2'(0'(1'(2'(0'(1'(3'(3'(2'(3'(3'(3'(3'(1'(2'(2'(2'(0'(2'(0'(0'(1'(1'(2'(3'(1'(1'(0'(2'(3'(2'(3'(0'(2'(x11194))))))))))))))))))))))))))))))))))) :|: x11194 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11194)))))))))))))))))))))))))))))))))
   3'(z) -{ 2 }-> 3'(2'(0'(1'(2'(0'(1'(3'(3'(2'(3'(3'(3'(3'(1'(2'(2'(2'(0'(1'(1'(1'(0'(3'(1'(2'(1'(0'(1'(2'(3'(3'(3'(2'(3'(x11193))))))))))))))))))))))))))))))))))) :|: x11193 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11193)))))))))))))))))))))))))))))))))
   3'(z) -{ 2 }-> 3'(2'(0'(1'(2'(0'(1'(3'(3'(2'(3'(3'(3'(3'(1'(2'(2'(2'(0'(0'(2'(0'(2'(2'(1'(2'(1'(2'(3'(0'(3'(2'(3'(1'(0'(x11199))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11199))))))))))))))))))))))))))))))))), x11199 >= 0
   3'(z) -{ 2 }-> 3'(2'(0'(1'(2'(0'(1'(3'(3'(2'(3'(3'(3'(3'(1'(2'(2'(2'(0'(0'(1'(2'(2'(2'(1'(2'(2'(2'(0'(1'(2'(1'(2'(2'(1'(x11196))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11196))))))))))))))))))))))))))))))))), x11196 >= 0
   3'(z) -{ 1 }-> 3'(2'(0'(1'(2'(0'(1'(3'(3'(2'(3'(3'(3'(3'(1'(2'(2'(0))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   3'(z) -{ 1 }-> 3'(2'(0'(1'(2'(0'(1'(3'(3'(2'(3'(3'(3'(3'(1'(2'(2'(1 + x1))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   3'(z) -{ 1 }-> 3'(2'(0'(0'(1'(1'(1'(0'(0'(3'(3'(2'(3'(0'(0'(0'(2'(0'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   3'(z) -{ 1 }-> 3'(1'(3'(1'(2'(2'(3'(3'(3'(3'(3'(3'(3'(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
   3'(z) -{ 1 }-> 3'(1'(2'(1'(2'(3'(2'(0'(2'(3'(2'(0'(0'(3'(3'(3'(3'(0'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   3'(z) -{ 1 }-> 3'(1'(1'(2'(2'(3'(1'(1'(0'(1'(2'(1'(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
   3'(z) -{ 1 }-> 3'(1'(1'(1'(3'(1'(1'(1'(0'(3'(0'(0'(1'(2'(3'(3'(0'(3'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   3'(z) -{ 2 }-> 3'(1'(0'(3'(1'(3'(3'(3'(0'(2'(3'(0'(3'(2'(2'(0'(1'(2'(3'(2'(3'(0'(0'(2'(2'(2'(1'(1'(0'(3'(2'(0'(3'(3'(3'(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)))))))))))))))))))))))))))))))))
   3'(z) -{ 2 }-> 3'(1'(0'(3'(1'(3'(3'(3'(0'(2'(3'(0'(3'(2'(2'(0'(1'(2'(3'(1'(2'(1'(2'(0'(2'(2'(1'(0'(0'(3'(3'(2'(0'(3'(3'(x11309))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11309))))))))))))))))))))))))))))))))), x11309 >= 0
   3'(z) -{ 2 }-> 3'(1'(0'(3'(1'(3'(3'(3'(0'(2'(3'(0'(3'(2'(2'(0'(1'(2'(2'(3'(0'(3'(1'(2'(3'(3'(3'(0'(2'(1'(2'(2'(3'(2'(2'(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
   3'(z) -{ 2 }-> 3'(1'(0'(3'(1'(3'(3'(3'(0'(2'(3'(0'(3'(2'(2'(0'(1'(2'(2'(1'(1'(1'(2'(2'(2'(1'(2'(1'(0'(3'(3'(3'(3'(3'(3'(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
   3'(z) -{ 2 }-> 3'(1'(0'(3'(1'(3'(3'(3'(0'(2'(3'(0'(3'(2'(2'(0'(1'(2'(2'(0'(0'(3'(0'(2'(2'(1'(2'(3'(1'(2'(3'(1'(1'(1'(2'(x11310))))))))))))))))))))))))))))))))))) :|: x11310 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11310)))))))))))))))))))))))))))))))))
   3'(z) -{ 2 }-> 3'(1'(0'(3'(1'(3'(3'(3'(0'(2'(3'(0'(3'(2'(2'(0'(1'(2'(0'(2'(0'(0'(1'(1'(2'(3'(1'(1'(0'(2'(3'(2'(3'(0'(2'(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)))))))))))))))))))))))))))))))))
   3'(z) -{ 2 }-> 3'(1'(0'(3'(1'(3'(3'(3'(0'(2'(3'(0'(3'(2'(2'(0'(1'(2'(0'(1'(1'(1'(0'(3'(1'(2'(1'(0'(1'(2'(3'(3'(3'(2'(3'(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)))))))))))))))))))))))))))))))))
   3'(z) -{ 2 }-> 3'(1'(0'(3'(1'(3'(3'(3'(0'(2'(3'(0'(3'(2'(2'(0'(1'(2'(0'(0'(2'(0'(2'(2'(1'(2'(1'(2'(3'(0'(3'(2'(3'(1'(0'(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
   3'(z) -{ 2 }-> 3'(1'(0'(3'(1'(3'(3'(3'(0'(2'(3'(0'(3'(2'(2'(0'(1'(2'(0'(0'(1'(2'(2'(2'(1'(2'(2'(2'(0'(1'(2'(1'(2'(2'(1'(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
   3'(z) -{ 1 }-> 3'(1'(0'(3'(1'(3'(3'(3'(0'(2'(3'(0'(3'(2'(2'(0'(1'(0))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   3'(z) -{ 1 }-> 3'(1'(0'(3'(1'(3'(3'(3'(0'(2'(3'(0'(3'(2'(2'(0'(1'(1 + x1))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   3'(z) -{ 1 }-> 3'(0'(3'(1'(1'(2'(2'(1'(3'(0'(3'(3'(0'(3'(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
   3'(z) -{ 1 }-> 3'(0'(2'(1'(2'(1'(2'(2'(3'(1'(2'(0'(2'(1'(1'(2'(3'(3'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   3'(z) -{ 2 }-> 3'(0'(1'(1'(3'(3'(0'(2'(3'(1'(2'(1'(3'(0'(2'(0'(1'(2'(3'(2'(3'(0'(0'(2'(2'(2'(1'(1'(0'(3'(2'(0'(3'(3'(3'(x11053))))))))))))))))))))))))))))))))))) :|: x11053 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11053)))))))))))))))))))))))))))))))))
   3'(z) -{ 2 }-> 3'(0'(1'(1'(3'(3'(0'(2'(3'(1'(2'(1'(3'(0'(2'(0'(1'(2'(3'(1'(2'(1'(2'(0'(2'(2'(1'(0'(0'(3'(3'(2'(0'(3'(3'(x11047))))))))))))))))))))))))))))))))))) :|: x11047 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11047)))))))))))))))))))))))))))))))))
   3'(z) -{ 2 }-> 3'(0'(1'(1'(3'(3'(0'(2'(3'(1'(2'(1'(3'(0'(2'(0'(1'(2'(2'(3'(0'(3'(1'(2'(3'(3'(3'(0'(2'(1'(2'(2'(3'(2'(2'(x11054))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11054))))))))))))))))))))))))))))))))), x11054 >= 0
   3'(z) -{ 2 }-> 3'(0'(1'(1'(3'(3'(0'(2'(3'(1'(2'(1'(3'(0'(2'(0'(1'(2'(2'(1'(1'(1'(2'(2'(2'(1'(2'(1'(0'(3'(3'(3'(3'(3'(3'(x11051))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11051))))))))))))))))))))))))))))))))), x11051 >= 0
   3'(z) -{ 2 }-> 3'(0'(1'(1'(3'(3'(0'(2'(3'(1'(2'(1'(3'(0'(2'(0'(1'(2'(2'(0'(0'(3'(0'(2'(2'(1'(2'(3'(1'(2'(3'(1'(1'(1'(2'(x11048))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11048))))))))))))))))))))))))))))))))), x11048 >= 0
   3'(z) -{ 2 }-> 3'(0'(1'(1'(3'(3'(0'(2'(3'(1'(2'(1'(3'(0'(2'(0'(1'(2'(0'(2'(0'(0'(1'(1'(2'(3'(1'(1'(0'(2'(3'(2'(3'(0'(2'(x11050))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11050))))))))))))))))))))))))))))))))), x11050 >= 0
   3'(z) -{ 2 }-> 3'(0'(1'(1'(3'(3'(0'(2'(3'(1'(2'(1'(3'(0'(2'(0'(1'(2'(0'(1'(1'(1'(0'(3'(1'(2'(1'(0'(1'(2'(3'(3'(3'(2'(3'(x11049))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11049))))))))))))))))))))))))))))))))), x11049 >= 0
   3'(z) -{ 2 }-> 3'(0'(1'(1'(3'(3'(0'(2'(3'(1'(2'(1'(3'(0'(2'(0'(1'(2'(0'(0'(2'(0'(2'(2'(1'(2'(1'(2'(3'(0'(3'(2'(3'(1'(0'(x11055))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11055))))))))))))))))))))))))))))))))), x11055 >= 0
   3'(z) -{ 2 }-> 3'(0'(1'(1'(3'(3'(0'(2'(3'(1'(2'(1'(3'(0'(2'(0'(1'(2'(0'(0'(1'(2'(2'(2'(1'(2'(2'(2'(0'(1'(2'(1'(2'(2'(1'(x11052))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11052))))))))))))))))))))))))))))))))), x11052 >= 0
   3'(z) -{ 1 }-> 3'(0'(1'(1'(3'(3'(0'(2'(3'(1'(2'(1'(3'(0'(2'(0'(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'(0'(1'(1'(3'(3'(0'(2'(3'(1'(2'(1'(3'(0'(2'(0'(1'(1 + x1))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   3'(z) -{ 2 }-> 3'(0'(1'(1'(1'(1'(2'(2'(3'(0'(1'(2'(0'(3'(0'(2'(0'(2'(3'(2'(3'(0'(0'(2'(2'(2'(1'(1'(0'(3'(2'(0'(3'(3'(3'(x1224))))))))))))))))))))))))))))))))))) :|: x1224 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1224)))))))))))))))))))))))))))))))))
   3'(z) -{ 2 }-> 3'(0'(1'(1'(1'(1'(2'(2'(3'(0'(1'(2'(0'(3'(0'(2'(0'(2'(3'(1'(2'(1'(2'(0'(2'(2'(1'(0'(0'(3'(3'(2'(0'(3'(3'(x1218))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1218))))))))))))))))))))))))))))))))), x1218 >= 0
   3'(z) -{ 2 }-> 3'(0'(1'(1'(1'(1'(2'(2'(3'(0'(1'(2'(0'(3'(0'(2'(0'(2'(2'(3'(0'(3'(1'(2'(3'(3'(3'(0'(2'(1'(2'(2'(3'(2'(2'(x1225))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1225))))))))))))))))))))))))))))))))), x1225 >= 0
   3'(z) -{ 2 }-> 3'(0'(1'(1'(1'(1'(2'(2'(3'(0'(1'(2'(0'(3'(0'(2'(0'(2'(2'(1'(1'(1'(2'(2'(2'(1'(2'(1'(0'(3'(3'(3'(3'(3'(3'(x1222))))))))))))))))))))))))))))))))))) :|: x1222 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1222)))))))))))))))))))))))))))))))))
   3'(z) -{ 2 }-> 3'(0'(1'(1'(1'(1'(2'(2'(3'(0'(1'(2'(0'(3'(0'(2'(0'(2'(2'(0'(0'(3'(0'(2'(2'(1'(2'(3'(1'(2'(3'(1'(1'(1'(2'(x1219))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1219))))))))))))))))))))))))))))))))), x1219 >= 0
   3'(z) -{ 2 }-> 3'(0'(1'(1'(1'(1'(2'(2'(3'(0'(1'(2'(0'(3'(0'(2'(0'(2'(0'(2'(0'(0'(1'(1'(2'(3'(1'(1'(0'(2'(3'(2'(3'(0'(2'(x1221))))))))))))))))))))))))))))))))))) :|: x1221 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1221)))))))))))))))))))))))))))))))))
   3'(z) -{ 2 }-> 3'(0'(1'(1'(1'(1'(2'(2'(3'(0'(1'(2'(0'(3'(0'(2'(0'(2'(0'(1'(1'(1'(0'(3'(1'(2'(1'(0'(1'(2'(3'(3'(3'(2'(3'(x1220))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1220))))))))))))))))))))))))))))))))), x1220 >= 0
   3'(z) -{ 2 }-> 3'(0'(1'(1'(1'(1'(2'(2'(3'(0'(1'(2'(0'(3'(0'(2'(0'(2'(0'(0'(2'(0'(2'(2'(1'(2'(1'(2'(3'(0'(3'(2'(3'(1'(0'(x1226))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1226))))))))))))))))))))))))))))))))), x1226 >= 0
   3'(z) -{ 2 }-> 3'(0'(1'(1'(1'(1'(2'(2'(3'(0'(1'(2'(0'(3'(0'(2'(0'(2'(0'(0'(1'(2'(2'(2'(1'(2'(2'(2'(0'(1'(2'(1'(2'(2'(1'(x1223))))))))))))))))))))))))))))))))))) :|: x1223 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1223)))))))))))))))))))))))))))))))))
   3'(z) -{ 1 }-> 3'(0'(1'(1'(1'(1'(2'(2'(3'(0'(1'(2'(0'(3'(0'(2'(0'(0))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   3'(z) -{ 1 }-> 3'(0'(1'(1'(1'(1'(2'(2'(3'(0'(1'(2'(0'(3'(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 }-> 3'(0'(0'(3'(0'(3'(3'(0'(0'(1'(1'(0'(1'(2'(1'(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) -{ 2 }-> 3'(0'(0'(3'(0'(3'(2'(1'(1'(0'(0'(0'(2'(1'(1'(1'(0'(2'(3'(2'(3'(0'(0'(2'(2'(2'(1'(1'(0'(3'(2'(0'(3'(3'(3'(x11163))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11163))))))))))))))))))))))))))))))))), x11163 >= 0
   3'(z) -{ 2 }-> 3'(0'(0'(3'(0'(3'(2'(1'(1'(0'(0'(0'(2'(1'(1'(1'(0'(2'(3'(1'(2'(1'(2'(0'(2'(2'(1'(0'(0'(3'(3'(2'(0'(3'(3'(x11157))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11157))))))))))))))))))))))))))))))))), x11157 >= 0
   3'(z) -{ 2 }-> 3'(0'(0'(3'(0'(3'(2'(1'(1'(0'(0'(0'(2'(1'(1'(1'(0'(2'(2'(3'(0'(3'(1'(2'(3'(3'(3'(0'(2'(1'(2'(2'(3'(2'(2'(x11164))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11164))))))))))))))))))))))))))))))))), x11164 >= 0
   3'(z) -{ 2 }-> 3'(0'(0'(3'(0'(3'(2'(1'(1'(0'(0'(0'(2'(1'(1'(1'(0'(2'(2'(1'(1'(1'(2'(2'(2'(1'(2'(1'(0'(3'(3'(3'(3'(3'(3'(x11161))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11161))))))))))))))))))))))))))))))))), x11161 >= 0
   3'(z) -{ 2 }-> 3'(0'(0'(3'(0'(3'(2'(1'(1'(0'(0'(0'(2'(1'(1'(1'(0'(2'(2'(0'(0'(3'(0'(2'(2'(1'(2'(3'(1'(2'(3'(1'(1'(1'(2'(x11158))))))))))))))))))))))))))))))))))) :|: x11158 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11158)))))))))))))))))))))))))))))))))
   3'(z) -{ 2 }-> 3'(0'(0'(3'(0'(3'(2'(1'(1'(0'(0'(0'(2'(1'(1'(1'(0'(2'(0'(2'(0'(0'(1'(1'(2'(3'(1'(1'(0'(2'(3'(2'(3'(0'(2'(x11160))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11160))))))))))))))))))))))))))))))))), x11160 >= 0
   3'(z) -{ 2 }-> 3'(0'(0'(3'(0'(3'(2'(1'(1'(0'(0'(0'(2'(1'(1'(1'(0'(2'(0'(1'(1'(1'(0'(3'(1'(2'(1'(0'(1'(2'(3'(3'(3'(2'(3'(x11159))))))))))))))))))))))))))))))))))) :|: x11159 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11159)))))))))))))))))))))))))))))))))
   3'(z) -{ 2 }-> 3'(0'(0'(3'(0'(3'(2'(1'(1'(0'(0'(0'(2'(1'(1'(1'(0'(2'(0'(0'(2'(0'(2'(2'(1'(2'(1'(2'(3'(0'(3'(2'(3'(1'(0'(x11165))))))))))))))))))))))))))))))))))) :|: x11165 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11165)))))))))))))))))))))))))))))))))
   3'(z) -{ 2 }-> 3'(0'(0'(3'(0'(3'(2'(1'(1'(0'(0'(0'(2'(1'(1'(1'(0'(2'(0'(0'(1'(2'(2'(2'(1'(2'(2'(2'(0'(1'(2'(1'(2'(2'(1'(x11162))))))))))))))))))))))))))))))))))) :|: x11162 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11162)))))))))))))))))))))))))))))))))
   3'(z) -{ 1 }-> 3'(0'(0'(3'(0'(3'(2'(1'(1'(0'(0'(0'(2'(1'(1'(1'(0'(0))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   3'(z) -{ 1 }-> 3'(0'(0'(3'(0'(3'(2'(1'(1'(0'(0'(0'(2'(1'(1'(1'(0'(1 + x1))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   3'(z) -{ 1 }-> 3'(0'(0'(2'(3'(1'(1'(1'(0'(1'(3'(0'(1'(0'(3'(2'(1'(1'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   3'(z) -{ 1 }-> 3'(0'(0'(2'(0'(0'(3'(0'(3'(3'(2'(1'(2'(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) -{ 2 }-> 0'(3'(0'(0'(0'(2'(3'(2'(1'(3'(0'(2'(2'(1'(1'(1'(2'(2'(3'(2'(3'(0'(0'(2'(2'(2'(1'(1'(0'(3'(2'(0'(3'(3'(3'(x1215))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1215))))))))))))))))))))))))))))))))), x1215 >= 0
   3'(z) -{ 2 }-> 0'(3'(0'(0'(0'(2'(3'(2'(1'(3'(0'(2'(2'(1'(1'(1'(2'(2'(3'(1'(2'(1'(2'(0'(2'(2'(1'(0'(0'(3'(3'(2'(0'(3'(3'(x1209))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1209))))))))))))))))))))))))))))))))), x1209 >= 0
   3'(z) -{ 2 }-> 0'(3'(0'(0'(0'(2'(3'(2'(1'(3'(0'(2'(2'(1'(1'(1'(2'(2'(2'(3'(0'(3'(1'(2'(3'(3'(3'(0'(2'(1'(2'(2'(3'(2'(2'(x1216))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1216))))))))))))))))))))))))))))))))), x1216 >= 0
   3'(z) -{ 2 }-> 0'(3'(0'(0'(0'(2'(3'(2'(1'(3'(0'(2'(2'(1'(1'(1'(2'(2'(2'(1'(1'(1'(2'(2'(2'(1'(2'(1'(0'(3'(3'(3'(3'(3'(3'(x1213))))))))))))))))))))))))))))))))))) :|: x1213 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1213)))))))))))))))))))))))))))))))))
   3'(z) -{ 2 }-> 0'(3'(0'(0'(0'(2'(3'(2'(1'(3'(0'(2'(2'(1'(1'(1'(2'(2'(2'(0'(0'(3'(0'(2'(2'(1'(2'(3'(1'(2'(3'(1'(1'(1'(2'(x1210))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1210))))))))))))))))))))))))))))))))), x1210 >= 0
   3'(z) -{ 2 }-> 0'(3'(0'(0'(0'(2'(3'(2'(1'(3'(0'(2'(2'(1'(1'(1'(2'(2'(0'(2'(0'(0'(1'(1'(2'(3'(1'(1'(0'(2'(3'(2'(3'(0'(2'(x1212))))))))))))))))))))))))))))))))))) :|: x1212 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1212)))))))))))))))))))))))))))))))))
   3'(z) -{ 2 }-> 0'(3'(0'(0'(0'(2'(3'(2'(1'(3'(0'(2'(2'(1'(1'(1'(2'(2'(0'(1'(1'(1'(0'(3'(1'(2'(1'(0'(1'(2'(3'(3'(3'(2'(3'(x1211))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1211))))))))))))))))))))))))))))))))), x1211 >= 0
   3'(z) -{ 2 }-> 0'(3'(0'(0'(0'(2'(3'(2'(1'(3'(0'(2'(2'(1'(1'(1'(2'(2'(0'(0'(2'(0'(2'(2'(1'(2'(1'(2'(3'(0'(3'(2'(3'(1'(0'(x1217))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1217))))))))))))))))))))))))))))))))), x1217 >= 0
   3'(z) -{ 2 }-> 0'(3'(0'(0'(0'(2'(3'(2'(1'(3'(0'(2'(2'(1'(1'(1'(2'(2'(0'(0'(1'(2'(2'(2'(1'(2'(2'(2'(0'(1'(2'(1'(2'(2'(1'(x1214))))))))))))))))))))))))))))))))))) :|: x1214 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1214)))))))))))))))))))))))))))))))))
   3'(z) -{ 1 }-> 0'(3'(0'(0'(0'(2'(3'(2'(1'(3'(0'(2'(2'(1'(1'(1'(2'(0))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   3'(z) -{ 1 }-> 0'(3'(0'(0'(0'(2'(3'(2'(1'(3'(0'(2'(2'(1'(1'(1'(2'(1 + x1))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   3'(z) -{ 2 }-> 0'(2'(0'(3'(0'(0'(2'(0'(3'(3'(0'(0'(0'(2'(1'(0'(1'(2'(3'(2'(3'(0'(0'(2'(2'(2'(1'(1'(0'(3'(2'(0'(3'(3'(3'(x1663))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1663))))))))))))))))))))))))))))))))), x1663 >= 0
   3'(z) -{ 2 }-> 0'(2'(0'(3'(0'(0'(2'(0'(3'(3'(0'(0'(0'(2'(1'(0'(1'(2'(3'(1'(2'(1'(2'(0'(2'(2'(1'(0'(0'(3'(3'(2'(0'(3'(3'(x1657))))))))))))))))))))))))))))))))))) :|: x1657 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1657)))))))))))))))))))))))))))))))))
   3'(z) -{ 2 }-> 0'(2'(0'(3'(0'(0'(2'(0'(3'(3'(0'(0'(0'(2'(1'(0'(1'(2'(2'(3'(0'(3'(1'(2'(3'(3'(3'(0'(2'(1'(2'(2'(3'(2'(2'(x1664))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1664))))))))))))))))))))))))))))))))), x1664 >= 0
   3'(z) -{ 2 }-> 0'(2'(0'(3'(0'(0'(2'(0'(3'(3'(0'(0'(0'(2'(1'(0'(1'(2'(2'(1'(1'(1'(2'(2'(2'(1'(2'(1'(0'(3'(3'(3'(3'(3'(3'(x1661))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1661))))))))))))))))))))))))))))))))), x1661 >= 0
   3'(z) -{ 2 }-> 0'(2'(0'(3'(0'(0'(2'(0'(3'(3'(0'(0'(0'(2'(1'(0'(1'(2'(2'(0'(0'(3'(0'(2'(2'(1'(2'(3'(1'(2'(3'(1'(1'(1'(2'(x1658))))))))))))))))))))))))))))))))))) :|: x1658 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1658)))))))))))))))))))))))))))))))))
   3'(z) -{ 2 }-> 0'(2'(0'(3'(0'(0'(2'(0'(3'(3'(0'(0'(0'(2'(1'(0'(1'(2'(0'(2'(0'(0'(1'(1'(2'(3'(1'(1'(0'(2'(3'(2'(3'(0'(2'(x1660))))))))))))))))))))))))))))))))))) :|: x1660 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1660)))))))))))))))))))))))))))))))))
   3'(z) -{ 2 }-> 0'(2'(0'(3'(0'(0'(2'(0'(3'(3'(0'(0'(0'(2'(1'(0'(1'(2'(0'(1'(1'(1'(0'(3'(1'(2'(1'(0'(1'(2'(3'(3'(3'(2'(3'(x1659))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1659))))))))))))))))))))))))))))))))), x1659 >= 0
   3'(z) -{ 2 }-> 0'(2'(0'(3'(0'(0'(2'(0'(3'(3'(0'(0'(0'(2'(1'(0'(1'(2'(0'(0'(2'(0'(2'(2'(1'(2'(1'(2'(3'(0'(3'(2'(3'(1'(0'(x1665))))))))))))))))))))))))))))))))))) :|: x1665 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1665)))))))))))))))))))))))))))))))))
   3'(z) -{ 2 }-> 0'(2'(0'(3'(0'(0'(2'(0'(3'(3'(0'(0'(0'(2'(1'(0'(1'(2'(0'(0'(1'(2'(2'(2'(1'(2'(2'(2'(0'(1'(2'(1'(2'(2'(1'(x1662))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1662))))))))))))))))))))))))))))))))), x1662 >= 0
   3'(z) -{ 1 }-> 0'(2'(0'(3'(0'(0'(2'(0'(3'(3'(0'(0'(0'(2'(1'(0'(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 }-> 0'(2'(0'(3'(0'(0'(2'(0'(3'(3'(0'(0'(0'(2'(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
   3'(z) -{ 0 }-> 0 :|: v0 >= 0, z = v0
   3'(z) -{ 0 }-> 1 + x0 :|: z = x0, x0 >= 0
   encArg(z) -{ 0 }-> 3'(3'(encArg(x_114))) :|: z = 1 + (1 + x_114), x_114 >= 0
   encArg(z) -{ 0 }-> 3'(2'(encArg(x_113))) :|: x_113 >= 0, z = 1 + (1 + x_113)
   encArg(z) -{ 0 }-> 3'(1'(encArg(x_112))) :|: x_112 >= 0, z = 1 + (1 + x_112)
   encArg(z) -{ 0 }-> 3'(0'(encArg(x_111))) :|: z = 1 + (1 + x_111), x_111 >= 0
   encArg(z) -{ 0 }-> 3'(0) :|: z = 1 + x_1, x_1 >= 0
   encArg(z) -{ 0 }-> 2'(3'(encArg(x_110))) :|: z = 1 + (1 + x_110), x_110 >= 0
   encArg(z) -{ 0 }-> 2'(2'(encArg(x_19))) :|: z = 1 + (1 + x_19), x_19 >= 0
   encArg(z) -{ 0 }-> 2'(1'(encArg(x_18))) :|: z = 1 + (1 + x_18), x_18 >= 0
   encArg(z) -{ 0 }-> 2'(0'(encArg(x_17))) :|: x_17 >= 0, z = 1 + (1 + x_17)
   encArg(z) -{ 0 }-> 2'(0) :|: z = 1 + x_1, x_1 >= 0
   encArg(z) -{ 0 }-> 1'(3'(encArg(x_16))) :|: x_16 >= 0, z = 1 + (1 + x_16)
   encArg(z) -{ 0 }-> 1'(2'(encArg(x_15))) :|: x_15 >= 0, z = 1 + (1 + x_15)
   encArg(z) -{ 0 }-> 1'(1'(encArg(x_14))) :|: x_14 >= 0, z = 1 + (1 + x_14)
   encArg(z) -{ 0 }-> 1'(0'(encArg(x_13))) :|: z = 1 + (1 + x_13), x_13 >= 0
   encArg(z) -{ 0 }-> 1'(0) :|: z = 1 + x_1, x_1 >= 0
   encArg(z) -{ 0 }-> 0'(3'(encArg(x_12))) :|: z = 1 + (1 + x_12), x_12 >= 0
   encArg(z) -{ 0 }-> 0'(2'(encArg(x_11))) :|: x_11 >= 0, z = 1 + (1 + x_11)
   encArg(z) -{ 0 }-> 0'(1'(encArg(x_1''))) :|: z = 1 + (1 + x_1''), x_1'' >= 0
   encArg(z) -{ 0 }-> 0'(0'(encArg(x_1'))) :|: z = 1 + (1 + x_1'), x_1' >= 0
   encArg(z) -{ 0 }-> 0'(0) :|: z = 1 + x_1, x_1 >= 0
   encArg(z) -{ 0 }-> 0 :|: v0 >= 0, z = v0
   encode_0(z) -{ 0 }-> 0'(3'(encArg(x_118))) :|: z = 1 + x_118, x_118 >= 0
   encode_0(z) -{ 0 }-> 0'(2'(encArg(x_117))) :|: x_117 >= 0, z = 1 + x_117
   encode_0(z) -{ 0 }-> 0'(1'(encArg(x_116))) :|: x_116 >= 0, z = 1 + x_116
   encode_0(z) -{ 0 }-> 0'(0'(encArg(x_115))) :|: x_115 >= 0, z = 1 + x_115
   encode_0(z) -{ 0 }-> 0'(0) :|: x_1 >= 0, z = x_1
   encode_0(z) -{ 0 }-> 0 :|: v0 >= 0, z = v0
   encode_1(z) -{ 0 }-> 1'(3'(encArg(x_122))) :|: x_122 >= 0, z = 1 + x_122
   encode_1(z) -{ 0 }-> 1'(2'(encArg(x_121))) :|: z = 1 + x_121, x_121 >= 0
   encode_1(z) -{ 0 }-> 1'(1'(encArg(x_120))) :|: x_120 >= 0, z = 1 + x_120
   encode_1(z) -{ 0 }-> 1'(0'(encArg(x_119))) :|: z = 1 + x_119, x_119 >= 0
   encode_1(z) -{ 0 }-> 1'(0) :|: x_1 >= 0, z = x_1
   encode_1(z) -{ 0 }-> 0 :|: v0 >= 0, z = v0
   encode_2(z) -{ 0 }-> 2'(3'(encArg(x_130))) :|: x_130 >= 0, z = 1 + x_130
   encode_2(z) -{ 0 }-> 2'(2'(encArg(x_129))) :|: z = 1 + x_129, x_129 >= 0
   encode_2(z) -{ 0 }-> 2'(1'(encArg(x_128))) :|: x_128 >= 0, z = 1 + x_128
   encode_2(z) -{ 0 }-> 2'(0'(encArg(x_127))) :|: x_127 >= 0, z = 1 + x_127
   encode_2(z) -{ 0 }-> 2'(0) :|: x_1 >= 0, z = x_1
   encode_2(z) -{ 0 }-> 0 :|: v0 >= 0, z = v0
   encode_3(z) -{ 0 }-> 3'(3'(encArg(x_126))) :|: z = 1 + x_126, x_126 >= 0
   encode_3(z) -{ 0 }-> 3'(2'(encArg(x_125))) :|: z = 1 + x_125, x_125 >= 0
   encode_3(z) -{ 0 }-> 3'(1'(encArg(x_124))) :|: x_124 >= 0, z = 1 + x_124
   encode_3(z) -{ 0 }-> 3'(0'(encArg(x_123))) :|: x_123 >= 0, z = 1 + x_123
   encode_3(z) -{ 0 }-> 3'(0) :|: x_1 >= 0, z = x_1
   encode_3(z) -{ 0 }-> 0 :|: v0 >= 0, z = v0


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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) -{ 1 }-> 3'(0'(1'(3'(3'(0'(0'(0'(0'(2'(1'(2'(0'(3'(1'(2'(1'(3'(z - 17)))))))))))))))))) :|: z - 17 >= 0
   0'(z) -{ 1 }-> 3'(0'(0'(2'(0'(1'(1'(0'(2'(0'(3'(1'(0'(1'(0'(3'(1'(1'(z - 17)))))))))))))))))) :|: z - 17 >= 0
   0'(z) -{ 1 }-> 2'(3'(0'(2'(1'(2'(3'(1'(2'(3'(0'(3'(3'(1'(0'(2'(0'(0'(z - 17)))))))))))))))))) :|: z - 17 >= 0
   0'(z) -{ 2 }-> 2'(1'(2'(1'(2'(3'(2'(1'(2'(1'(2'(0'(0'(2'(0'(1'(3'(2'(3'(2'(3'(0'(0'(2'(2'(2'(1'(1'(0'(3'(2'(0'(3'(3'(3'(z - 34))))))))))))))))))))))))))))))))))) :|: z - 34 >= 0
   0'(z) -{ 2 }-> 2'(1'(2'(1'(2'(3'(2'(1'(2'(1'(2'(0'(0'(2'(0'(1'(3'(2'(3'(1'(2'(1'(2'(0'(2'(2'(1'(0'(0'(3'(3'(2'(0'(3'(3'(z - 34))))))))))))))))))))))))))))))))))) :|: z - 34 >= 0
   0'(z) -{ 2 }-> 2'(1'(2'(1'(2'(3'(2'(1'(2'(1'(2'(0'(0'(2'(0'(1'(3'(2'(2'(3'(0'(3'(1'(2'(3'(3'(3'(0'(2'(1'(2'(2'(3'(2'(2'(z - 34))))))))))))))))))))))))))))))))))) :|: z - 34 >= 0
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   3'(z) -{ 2 }-> 0'(2'(0'(3'(0'(0'(2'(0'(3'(3'(0'(0'(0'(2'(1'(0'(1'(2'(2'(0'(0'(3'(0'(2'(2'(1'(2'(3'(1'(2'(3'(1'(1'(1'(2'(z - 34))))))))))))))))))))))))))))))))))) :|: z - 34 >= 0
   3'(z) -{ 2 }-> 0'(2'(0'(3'(0'(0'(2'(0'(3'(3'(0'(0'(0'(2'(1'(0'(1'(2'(0'(2'(0'(0'(1'(1'(2'(3'(1'(1'(0'(2'(3'(2'(3'(0'(2'(z - 34))))))))))))))))))))))))))))))))))) :|: z - 34 >= 0
   3'(z) -{ 2 }-> 0'(2'(0'(3'(0'(0'(2'(0'(3'(3'(0'(0'(0'(2'(1'(0'(1'(2'(0'(1'(1'(1'(0'(3'(1'(2'(1'(0'(1'(2'(3'(3'(3'(2'(3'(z - 34))))))))))))))))))))))))))))))))))) :|: z - 34 >= 0
   3'(z) -{ 2 }-> 0'(2'(0'(3'(0'(0'(2'(0'(3'(3'(0'(0'(0'(2'(1'(0'(1'(2'(0'(0'(2'(0'(2'(2'(1'(2'(1'(2'(3'(0'(3'(2'(3'(1'(0'(z - 34))))))))))))))))))))))))))))))))))) :|: z - 34 >= 0
   3'(z) -{ 2 }-> 0'(2'(0'(3'(0'(0'(2'(0'(3'(3'(0'(0'(0'(2'(1'(0'(1'(2'(0'(0'(1'(2'(2'(2'(1'(2'(2'(2'(0'(1'(2'(1'(2'(2'(1'(z - 34))))))))))))))))))))))))))))))))))) :|: z - 34 >= 0
   3'(z) -{ 1 }-> 0'(2'(0'(3'(0'(0'(2'(0'(3'(3'(0'(0'(0'(2'(1'(0'(1'(0))))))))))))))))) :|: z - 17 >= 0
   3'(z) -{ 1 }-> 0'(2'(0'(3'(0'(0'(2'(0'(3'(3'(0'(0'(0'(2'(1'(0'(1'(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_1(v0) -> null_encode_1 [0]
   encode_3(v0) -> null_encode_3 [0]
   encode_2(v0) -> null_encode_2 [0]
   0'(v0) -> null_0' [0]
   1'(v0) -> null_1' [0]
   2'(v0) -> null_2' [0]
   3'(v0) -> null_3' [0]

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

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

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

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

   3'(c_3(c_1(c_2(c_1(c_3(c_2(c_2(c_1(c_2(c_1(c_2(c_2(c_0(c_3(c_2(c_1(c_0(x1)))))))))))))))))) -> 3'(0'(2'(1'(2'(1'(2'(2'(3'(1'(2'(0'(2'(1'(1'(2'(3'(3'(x1)))))))))))))))))) [1]
   3'(c_3(c_0(c_2(c_0(c_1(c_3(c_1(c_0(c_2(c_2(c_2(c_2(c_0(c_3(c_3(c_1(c_0(x1)))))))))))))))))) -> 3'(3'(2'(0'(3'(1'(0'(2'(1'(2'(3'(0'(1'(0'(2'(3'(2'(0'(x1)))))))))))))))))) [1]
   0'(c_2(c_3(c_3(c_2(c_1(c_3(c_0(c_1(c_3(c_1(c_3(c_3(c_0(c_2(c_1(c_0(c_1(x1)))))))))))))))))) -> 0'(2'(3'(3'(0'(3'(1'(0'(2'(3'(1'(0'(3'(3'(2'(1'(1'(1'(x1)))))))))))))))))) [1]
   2'(c_0(c_2(c_2(c_3(c_2(c_0(c_2(c_0(c_1(c_1(c_3(c_1(c_3(c_3(c_3(c_2(c_0(x1)))))))))))))))))) -> 2'(3'(1'(2'(1'(2'(0'(2'(2'(1'(0'(0'(3'(3'(2'(0'(3'(3'(x1)))))))))))))))))) [1]
   2'(c_1(c_0(c_0(c_2(c_2(c_2(c_0(c_1(c_3(c_1(c_3(c_2(c_3(c_2(c_1(c_1(c_2(x1)))))))))))))))))) -> 2'(2'(0'(0'(3'(0'(2'(2'(1'(2'(3'(1'(2'(3'(1'(1'(1'(2'(x1)))))))))))))))))) [1]
   0'(c_3(c_1(c_0(c_2(c_2(c_1(c_0(c_1(c_1(c_0(c_0(c_3(c_1(c_2(c_2(c_3(c_0(x1)))))))))))))))))) -> 0'(3'(1'(1'(0'(3'(2'(0'(2'(1'(2'(2'(0'(3'(1'(1'(0'(0'(x1)))))))))))))))))) [1]
   0'(c_1(c_0(c_3(c_2(c_2(c_3(c_2(c_0(c_1(c_1(c_1(c_1(c_0(c_1(c_0(c_1(c_1(x1)))))))))))))))))) -> 1'(2'(3'(1'(1'(0'(0'(1'(1'(3'(0'(0'(2'(0'(2'(1'(1'(1'(x1)))))))))))))))))) [1]
   0'(c_2(c_0(c_2(c_2(c_1(c_1(c_0(c_2(c_0(c_0(c_0(c_1(c_0(c_3(c_0(c_2(c_0(x1)))))))))))))))))) -> 0'(2'(1'(1'(1'(0'(2'(0'(2'(0'(0'(0'(0'(3'(2'(0'(2'(0'(x1)))))))))))))))))) [1]
   1'(c_0(c_0(c_0(c_3(c_0(c_2(c_3(c_1(c_2(c_3(c_1(c_1(c_2(c_2(c_2(c_2(c_3(x1)))))))))))))))))) -> 1'(3'(0'(2'(1'(2'(0'(1'(2'(0'(0'(2'(2'(1'(3'(3'(2'(3'(x1)))))))))))))))))) [1]
   0'(c_0(c_2(c_0(c_0(c_0(c_1(c_1(c_0(c_2(c_2(c_3(c_3(c_0(c_0(c_3(c_0(c_2(x1)))))))))))))))))) -> 0'(2'(0'(0'(3'(1'(1'(2'(3'(0'(2'(0'(0'(3'(0'(0'(0'(2'(x1)))))))))))))))))) [1]
   3'(c_1(c_0(c_2(c_1(c_0(c_1(c_0(c_1(c_0(c_2(c_2(c_0(c_2(c_3(c_3(c_2(c_2(x1)))))))))))))))))) -> 0'(3'(0'(0'(0'(2'(3'(2'(1'(3'(0'(2'(2'(1'(1'(1'(2'(2'(x1)))))))))))))))))) [1]
   3'(c_0(c_1(c_0(c_2(c_3(c_2(c_0(c_1(c_0(c_1(c_2(c_3(c_1(c_2(c_0(c_1(c_2(x1)))))))))))))))))) -> 3'(0'(1'(1'(1'(1'(2'(2'(3'(0'(1'(2'(0'(3'(0'(2'(0'(2'(x1)))))))))))))))))) [1]
   3'(c_2(c_0(c_3(c_0(c_1(c_1(c_0(c_2(c_3(c_0(c_3(c_0(c_0(c_1(c_0(c_2(c_0(x1)))))))))))))))))) -> 3'(2'(0'(0'(1'(1'(1'(0'(0'(3'(3'(2'(3'(0'(0'(0'(2'(0'(x1)))))))))))))))))) [1]
   1'(c_3(c_1(c_3(c_2(c_2(c_0(c_0(c_0(c_0(c_1(c_3(c_2(c_0(c_1(c_3(c_3(c_0(x1)))))))))))))))))) -> 1'(2'(0'(0'(0'(0'(0'(3'(1'(3'(3'(3'(2'(1'(2'(3'(1'(0'(x1)))))))))))))))))) [1]
   0'(c_0(c_3(c_2(c_0(c_0(c_1(c_0(c_1(c_3(c_2(c_3(c_2(c_2(c_2(c_0(c_1(c_1(x1)))))))))))))))))) -> 2'(0'(0'(1'(3'(1'(2'(1'(2'(0'(3'(2'(0'(0'(3'(0'(1'(2'(x1)))))))))))))))))) [1]
   1'(c_1(c_2(c_0(c_2(c_2(c_1(c_2(c_3(c_2(c_3(c_1(c_0(c_0(c_1(c_3(c_0(c_2(x1)))))))))))))))))) -> 1'(2'(2'(1'(1'(2'(0'(3'(1'(0'(3'(1'(0'(2'(2'(3'(0'(2'(x1)))))))))))))))))) [1]
   2'(c_0(c_2(c_0(c_0(c_1(c_1(c_1(c_3(c_1(c_1(c_3(c_2(c_3(c_1(c_3(c_2(c_3(x1)))))))))))))))))) -> 2'(0'(1'(1'(1'(0'(3'(1'(2'(1'(0'(1'(2'(3'(3'(3'(2'(3'(x1)))))))))))))))))) [1]
   1'(c_0(c_3(c_2(c_3(c_2(c_2(c_0(c_3(c_2(c_2(c_1(c_1(c_0(c_3(c_2(c_3(c_3(x1)))))))))))))))))) -> 1'(2'(3'(0'(2'(2'(3'(0'(2'(3'(2'(1'(3'(1'(2'(0'(3'(3'(x1)))))))))))))))))) [1]
   3'(c_2(c_2(c_0(c_2(c_3(c_0(c_1(c_0(c_3(c_1(c_3(c_3(c_1(c_3(c_1(c_2(c_3(x1)))))))))))))))))) -> 3'(2'(0'(3'(1'(2'(0'(3'(3'(1'(1'(1'(0'(2'(3'(2'(3'(3'(x1)))))))))))))))))) [1]
   1'(c_1(c_0(c_1(c_1(c_3(c_2(c_0(c_2(c_1(c_2(c_2(c_1(c_2(c_3(c_1(c_1(c_1(x1)))))))))))))))))) -> 1'(1'(0'(3'(2'(3'(1'(2'(1'(2'(0'(2'(2'(1'(1'(1'(1'(1'(x1)))))))))))))))))) [1]
   2'(c_3(c_1(c_0(c_0(c_3(c_1(c_0(c_1(c_3(c_0(c_1(c_2(c_2(c_2(c_2(c_0(c_2(x1)))))))))))))))))) -> 2'(0'(2'(0'(0'(1'(1'(2'(3'(1'(1'(0'(2'(3'(2'(3'(0'(2'(x1)))))))))))))))))) [1]
   1'(c_3(c_2(c_3(c_0(c_3(c_3(c_3(c_1(c_3(c_3(c_1(c_3(c_3(c_3(c_2(c_2(c_0(x1)))))))))))))))))) -> 1'(3'(3'(3'(1'(1'(0'(2'(3'(3'(3'(3'(3'(2'(0'(3'(2'(3'(x1)))))))))))))))))) [1]
   3'(c_0(c_3(c_0(c_3(c_2(c_2(c_3(c_2(c_1(c_0(c_2(c_3(c_1(c_2(c_3(c_3(c_0(x1)))))))))))))))))) -> 3'(1'(2'(1'(2'(3'(2'(0'(2'(3'(2'(0'(0'(3'(3'(3'(3'(0'(x1)))))))))))))))))) [1]
   3'(c_1(c_1(c_0(c_1(c_0(c_3(c_1(c_1(c_2(c_1(c_3(c_0(c_3(c_3(c_1(c_0(c_3(x1)))))))))))))))))) -> 3'(1'(1'(1'(3'(1'(1'(1'(0'(3'(0'(0'(1'(2'(3'(3'(0'(3'(x1)))))))))))))))))) [1]
   0'(c_2(c_2(c_2(c_2(c_2(c_1(c_3(c_1(c_0(c_1(c_2(c_3(c_2(c_0(c_1(c_1(c_2(x1)))))))))))))))))) -> 2'(1'(2'(1'(2'(3'(2'(1'(2'(1'(2'(0'(0'(2'(0'(1'(3'(2'(x1)))))))))))))))))) [1]
   0'(c_0(c_2(c_1(c_0(c_0(c_1(c_0(c_1(c_0(c_3(c_1(c_3(c_3(c_2(c_0(c_1(c_1(x1)))))))))))))))))) -> 3'(0'(0'(2'(0'(1'(1'(0'(2'(0'(3'(1'(0'(1'(0'(3'(1'(1'(x1)))))))))))))))))) [1]
   0'(c_0(c_0(c_1(c_3(c_2(c_2(c_3(c_0(c_2(c_2(c_0(c_1(c_0(c_0(c_0(c_1(c_2(x1)))))))))))))))))) -> 0'(3'(0'(0'(3'(0'(2'(1'(2'(1'(0'(0'(1'(2'(0'(2'(0'(2'(x1)))))))))))))))))) [1]
   0'(c_2(c_2(c_1(c_3(c_0(c_0(c_1(c_3(c_0(c_1(c_0(c_3(c_3(c_2(c_0(c_1(c_3(x1)))))))))))))))))) -> 3'(0'(1'(3'(3'(0'(0'(0'(0'(2'(1'(2'(0'(3'(1'(2'(1'(3'(x1)))))))))))))))))) [1]
   1'(c_3(c_3(c_1(c_1(c_3(c_0(c_2(c_0(c_1(c_3(c_1(c_3(c_0(c_3(c_2(c_2(c_1(x1)))))))))))))))))) -> 1'(3'(3'(3'(0'(1'(1'(2'(0'(3'(1'(1'(2'(3'(3'(0'(2'(1'(x1)))))))))))))))))) [1]
   0'(c_2(c_3(c_1(c_3(c_3(c_1(c_3(c_2(c_3(c_2(c_2(c_1(c_0(c_1(c_1(c_1(c_1(x1)))))))))))))))))) -> 1'(0'(3'(3'(3'(3'(1'(1'(2'(2'(3'(1'(2'(1'(2'(0'(1'(1'(x1)))))))))))))))))) [1]
   1'(c_0(c_0(c_0(c_1(c_3(c_2(c_2(c_2(c_2(c_2(c_3(c_1(c_3(c_1(c_1(c_1(c_1(x1)))))))))))))))))) -> 1'(2'(1'(1'(3'(2'(0'(1'(0'(2'(1'(0'(2'(3'(1'(2'(3'(1'(x1)))))))))))))))))) [1]
   3'(c_0(c_1(c_0(c_0(c_2(c_1(c_0(c_1(c_3(c_2(c_1(c_1(c_3(c_3(c_0(c_1(c_1(x1)))))))))))))))))) -> 3'(0'(0'(2'(3'(1'(1'(1'(0'(1'(3'(0'(1'(0'(3'(2'(1'(1'(x1)))))))))))))))))) [1]
   3'(c_2(c_3(c_2(c_2(c_2(c_0(c_2(c_3(c_0(c_1(c_2(c_3(c_0(c_1(c_1(c_0(c_2(x1)))))))))))))))))) -> 3'(2'(2'(3'(3'(0'(3'(1'(2'(2'(0'(1'(0'(0'(2'(2'(1'(2'(x1)))))))))))))))))) [1]
   1'(c_1(c_0(c_0(c_3(c_2(c_2(c_2(c_2(c_0(c_3(c_2(c_2(c_0(c_0(c_1(c_0(c_0(x1)))))))))))))))))) -> 1'(3'(3'(0'(0'(2'(0'(1'(2'(2'(2'(0'(2'(1'(0'(2'(0'(0'(x1)))))))))))))))))) [1]
   3'(c_0(c_1(c_0(c_0(c_0(c_0(c_3(c_3(c_2(c_0(c_0(c_1(c_0(c_0(c_2(c_2(c_2(x1)))))))))))))))))) -> 0'(2'(0'(3'(0'(0'(2'(0'(3'(3'(0'(0'(0'(2'(1'(0'(1'(2'(x1)))))))))))))))))) [1]
   1'(c_0(c_1(c_0(c_1(c_3(c_0(c_2(c_3(c_0(c_1(c_3(c_3(c_2(c_1(c_0(c_1(c_3(x1)))))))))))))))))) -> 1'(3'(3'(2'(1'(2'(0'(1'(3'(1'(3'(0'(0'(0'(1'(0'(1'(3'(x1)))))))))))))))))) [1]
   0'(c_1(c_1(c_0(c_0(c_2(c_2(c_0(c_3(c_2(c_1(c_0(c_3(c_1(c_1(c_0(c_2(c_2(x1)))))))))))))))))) -> 0'(0'(0'(2'(1'(2'(0'(1'(1'(2'(1'(0'(3'(3'(1'(0'(2'(2'(x1)))))))))))))))))) [1]
   0'(c_1(c_0(c_1(c_0(c_3(c_0(c_1(c_3(c_1(c_3(c_0(c_1(c_0(c_1(c_3(c_2(c_1(x1)))))))))))))))))) -> 0'(1'(2'(0'(3'(1'(0'(0'(1'(1'(0'(1'(3'(1'(0'(3'(3'(1'(x1)))))))))))))))))) [1]
   2'(c_1(c_3(c_3(c_2(c_1(c_2(c_3(c_1(c_3(c_3(c_1(c_2(c_1(c_2(c_2(c_0(c_3(x1)))))))))))))))))) -> 2'(2'(1'(1'(1'(2'(2'(2'(1'(2'(1'(0'(3'(3'(3'(3'(3'(3'(x1)))))))))))))))))) [1]
   0'(c_2(c_2(c_2(c_3(c_3(c_0(c_1(c_3(c_1(c_1(c_1(c_0(c_1(c_3(c_2(c_0(c_2(x1)))))))))))))))))) -> 2'(1'(1'(0'(3'(3'(0'(1'(3'(1'(2'(3'(2'(0'(1'(2'(0'(2'(x1)))))))))))))))))) [1]
   1'(c_0(c_1(c_1(c_3(c_2(c_1(c_1(c_0(c_0(c_0(c_1(c_3(c_0(c_0(c_0(c_1(c_0(x1)))))))))))))))))) -> 1'(3'(1'(1'(1'(0'(1'(3'(0'(0'(0'(0'(1'(1'(0'(0'(2'(0'(x1)))))))))))))))))) [1]
   1'(c_0(c_2(c_3(c_0(c_1(c_0(c_2(c_0(c_1(c_0(c_3(c_1(c_2(c_2(c_2(c_3(c_1(x1)))))))))))))))))) -> 1'(0'(3'(0'(0'(0'(2'(2'(3'(3'(1'(2'(0'(1'(2'(1'(2'(1'(x1)))))))))))))))))) [1]
   1'(c_2(c_2(c_1(c_2(c_2(c_1(c_0(c_1(c_2(c_1(c_1(c_0(c_2(c_3(c_2(c_2(c_0(x1)))))))))))))))))) -> 1'(2'(1'(2'(2'(1'(2'(1'(0'(1'(2'(2'(0'(2'(3'(1'(2'(0'(x1)))))))))))))))))) [1]
   0'(c_0(c_1(c_3(c_2(c_1(c_0(c_1(c_2(c_2(c_1(c_1(c_1(c_1(c_2(c_3(c_2(c_2(x1)))))))))))))))))) -> 0'(1'(1'(1'(2'(1'(2'(1'(3'(2'(3'(0'(1'(2'(0'(1'(2'(2'(x1)))))))))))))))))) [1]
   0'(c_2(c_2(c_0(c_3(c_1(c_3(c_1(c_3(c_3(c_1(c_2(c_1(c_0(c_0(c_2(c_0(c_1(x1)))))))))))))))))) -> 0'(2'(0'(1'(1'(2'(3'(3'(1'(1'(3'(0'(2'(0'(2'(0'(3'(1'(x1)))))))))))))))))) [1]
   3'(c_0(c_0(c_1(c_3(c_1(c_0(c_2(c_3(c_3(c_1(c_3(c_3(c_3(c_3(c_2(c_1(c_0(x1)))))))))))))))))) -> 3'(0'(3'(1'(1'(2'(2'(1'(3'(0'(3'(3'(0'(3'(3'(3'(1'(0'(x1)))))))))))))))))) [1]
   0'(c_2(c_3(c_1(c_3(c_2(c_3(c_1(c_1(c_0(c_2(c_3(c_2(c_1(c_0(c_0(c_1(c_2(x1)))))))))))))))))) -> 0'(2'(3'(3'(2'(3'(2'(0'(1'(2'(0'(1'(1'(1'(0'(3'(1'(2'(x1)))))))))))))))))) [1]
   1'(c_1(c_1(c_0(c_1(c_1(c_3(c_2(c_3(c_0(c_0(c_3(c_3(c_3(c_2(c_2(c_2(c_1(x1)))))))))))))))))) -> 1'(0'(3'(0'(0'(3'(3'(1'(2'(3'(1'(2'(1'(1'(2'(3'(1'(2'(x1)))))))))))))))))) [1]
   1'(c_1(c_3(c_3(c_2(c_1(c_1(c_1(c_3(c_3(c_1(c_1(c_0(c_2(c_0(c_2(c_1(c_2(x1)))))))))))))))))) -> 1'(1'(2'(3'(1'(3'(0'(1'(1'(1'(2'(3'(0'(2'(3'(1'(1'(2'(x1)))))))))))))))))) [1]
   0'(c_2(c_3(c_2(c_1(c_1(c_3(c_3(c_1(c_3(c_0(c_1(c_0(c_1(c_1(c_3(c_2(c_1(x1)))))))))))))))))) -> 0'(2'(3'(1'(2'(1'(1'(1'(2'(0'(3'(3'(3'(3'(0'(1'(1'(1'(x1)))))))))))))))))) [1]
   0'(c_0(c_1(c_1(c_3(c_2(c_3(c_2(c_3(c_2(c_0(c_0(c_2(c_3(c_2(c_3(c_1(c_0(x1)))))))))))))))))) -> 2'(3'(0'(2'(1'(2'(3'(1'(2'(3'(0'(3'(3'(1'(0'(2'(0'(0'(x1)))))))))))))))))) [1]
   3'(c_2(c_2(c_1(c_3(c_1(c_2(c_2(c_3(c_3(c_0(c_2(c_1(c_0(c_1(c_3(c_2(c_1(x1)))))))))))))))))) -> 3'(2'(3'(1'(1'(2'(3'(0'(2'(1'(3'(1'(1'(2'(3'(0'(2'(2'(x1)))))))))))))))))) [1]
   2'(c_1(c_0(c_2(c_1(c_0(c_0(c_1(c_1(c_2(c_2(c_2(c_2(c_2(c_2(c_2(c_2(c_1(x1)))))))))))))))))) -> 2'(0'(0'(1'(2'(2'(2'(1'(2'(2'(2'(0'(1'(2'(1'(2'(2'(1'(x1)))))))))))))))))) [1]
   3'(c_2(c_2(c_2(c_2(c_2(c_1(c_0(c_0(c_1(c_3(c_2(c_3(c_1(c_3(c_3(c_2(c_1(x1)))))))))))))))))) -> 3'(2'(3'(1'(0'(2'(2'(2'(1'(3'(3'(2'(1'(0'(2'(2'(3'(1'(x1)))))))))))))))))) [1]
   3'(c_1(c_2(c_2(c_3(c_1(c_0(c_1(c_1(c_1(c_1(c_3(c_2(c_1(c_1(c_1(c_3(c_1(x1)))))))))))))))))) -> 3'(1'(1'(2'(2'(3'(1'(1'(0'(1'(2'(1'(1'(3'(1'(1'(3'(1'(x1)))))))))))))))))) [1]
   3'(c_3(c_1(c_3(c_3(c_2(c_1(c_3(c_2(c_3(c_3(c_2(c_3(c_1(c_3(c_2(c_3(c_1(x1)))))))))))))))))) -> 3'(1'(3'(1'(2'(2'(3'(3'(3'(3'(3'(3'(3'(2'(2'(1'(3'(1'(x1)))))))))))))))))) [1]
   3'(c_0(c_0(c_1(c_3(c_2(c_2(c_1(c_3(c_3(c_0(c_1(c_2(c_1(c_0(c_3(c_1(c_2(x1)))))))))))))))))) -> 3'(0'(1'(1'(3'(3'(0'(2'(3'(1'(2'(1'(3'(0'(2'(0'(1'(2'(x1)))))))))))))))))) [1]
   0'(c_0(c_2(c_0(c_3(c_2(c_2(c_3(c_3(c_1(c_3(c_2(c_1(c_1(c_3(c_0(c_0(c_1(x1)))))))))))))))))) -> 0'(0'(3'(1'(1'(0'(3'(2'(2'(0'(2'(3'(3'(1'(2'(3'(0'(1'(x1)))))))))))))))))) [1]
   0'(c_3(c_1(c_0(c_0(c_3(c_0(c_0(c_1(c_0(c_3(c_2(c_1(c_3(c_0(c_0(c_1(c_2(x1)))))))))))))))))) -> 0'(0'(3'(1'(1'(3'(1'(0'(0'(2'(1'(0'(3'(0'(0'(0'(3'(2'(x1)))))))))))))))))) [1]
   0'(c_3(c_0(c_1(c_3(c_1(c_3(c_2(c_0(c_1(c_0(c_1(c_0(c_0(c_3(c_1(c_1(c_3(x1)))))))))))))))))) -> 0'(3'(2'(0'(3'(1'(3'(1'(1'(0'(3'(0'(0'(1'(0'(1'(1'(3'(x1)))))))))))))))))) [1]
   3'(c_2(c_1(c_0(c_1(c_0(c_1(c_3(c_0(c_1(c_2(c_3(c_0(c_0(c_1(c_3(c_0(c_1(x1)))))))))))))))))) -> 3'(0'(0'(3'(0'(3'(3'(0'(0'(1'(1'(0'(1'(2'(1'(2'(1'(1'(x1)))))))))))))))))) [1]
   0'(c_0(c_3(c_3(c_1(c_3(c_3(c_0(c_1(c_3(c_2(c_3(c_3(c_3(c_0(c_3(c_3(c_3(x1)))))))))))))))))) -> 0'(3'(0'(3'(3'(1'(3'(0'(3'(3'(3'(1'(3'(0'(3'(2'(3'(3'(x1)))))))))))))))))) [1]
   3'(c_0(c_1(c_0(c_2(c_1(c_0(c_0(c_0(c_0(c_1(c_1(c_3(c_2(c_2(c_3(c_0(c_1(x1)))))))))))))))))) -> 3'(0'(0'(3'(0'(3'(2'(1'(1'(0'(0'(0'(2'(1'(1'(1'(0'(2'(x1)))))))))))))))))) [1]
   3'(c_3(c_2(c_2(c_3(c_0(c_1(c_3(c_3(c_3(c_0(c_0(c_0(c_2(c_0(c_2(c_3(c_0(x1)))))))))))))))))) -> 3'(3'(3'(0'(3'(2'(0'(2'(3'(0'(2'(2'(0'(1'(3'(0'(3'(0'(x1)))))))))))))))))) [1]
   3'(c_2(c_0(c_1(c_2(c_3(c_2(c_2(c_1(c_3(c_0(c_3(c_3(c_1(c_3(c_3(c_2(c_2(x1)))))))))))))))))) -> 3'(2'(0'(1'(2'(0'(1'(3'(3'(2'(3'(3'(3'(3'(1'(2'(2'(2'(x1)))))))))))))))))) [1]
   2'(c_3(c_0(c_1(c_0(c_0(c_3(c_1(c_0(c_3(c_2(c_3(c_2(c_2(c_2(c_3(c_3(c_2(x1)))))))))))))))))) -> 2'(3'(2'(3'(0'(0'(2'(2'(2'(1'(1'(0'(3'(2'(0'(3'(3'(3'(x1)))))))))))))))))) [1]
   1'(c_0(c_3(c_0(c_2(c_0(c_3(c_0(c_1(c_1(c_2(c_3(c_0(c_1(c_3(c_2(c_0(c_3(x1)))))))))))))))))) -> 1'(0'(2'(1'(0'(1'(0'(2'(0'(3'(3'(3'(1'(2'(0'(0'(3'(3'(x1)))))))))))))))))) [1]
   2'(c_2(c_3(c_1(c_0(c_3(c_2(c_2(c_2(c_2(c_3(c_1(c_3(c_3(c_0(c_2(c_3(c_2(x1)))))))))))))))))) -> 2'(2'(3'(0'(3'(1'(2'(3'(3'(3'(0'(2'(1'(2'(2'(3'(2'(2'(x1)))))))))))))))))) [1]
   2'(c_1(c_1(c_3(c_2(c_0(c_0(c_0(c_2(c_1(c_0(c_2(c_2(c_3(c_2(c_3(c_2(c_0(x1)))))))))))))))))) -> 2'(0'(0'(2'(0'(2'(2'(1'(2'(1'(2'(3'(0'(3'(2'(3'(1'(0'(x1)))))))))))))))))) [1]
   0'(c_0(c_2(c_0(c_1(c_1(c_2(c_0(c_1(c_0(c_1(c_0(c_1(c_0(c_2(c_3(c_2(c_0(x1)))))))))))))))))) -> 0'(0'(0'(2'(2'(2'(0'(3'(0'(1'(1'(1'(1'(1'(0'(0'(2'(0'(x1)))))))))))))))))) [1]
   3'(c_1(c_0(c_3(c_2(c_1(c_0(c_3(c_0(c_2(c_3(c_2(c_3(c_0(c_1(c_3(c_3(c_2(x1)))))))))))))))))) -> 3'(1'(0'(3'(1'(3'(3'(3'(0'(2'(3'(0'(3'(2'(2'(0'(1'(2'(x1)))))))))))))))))) [1]
   3'(c_3(c_1(c_3(c_0(c_2(c_3(c_3(c_3(c_1(c_0(c_0(c_2(c_2(c_0(c_2(c_0(c_1(x1)))))))))))))))))) -> 3'(0'(0'(2'(0'(0'(3'(0'(3'(3'(2'(1'(2'(1'(2'(3'(3'(1'(x1)))))))))))))))))) [1]
   1'(c_1(c_1(c_0(c_1(c_1(c_2(c_2(c_2(c_1(c_0(c_1(c_1(c_1(c_3(c_3(c_0(c_3(x1)))))))))))))))))) -> 1'(2'(0'(3'(1'(1'(1'(0'(1'(2'(1'(2'(1'(1'(1'(3'(0'(3'(x1)))))))))))))))))) [1]
   1'(c_0(c_1(c_3(c_2(c_0(c_2(c_1(c_3(c_3(c_2(c_1(c_3(c_2(c_2(c_0(c_1(c_2(x1)))))))))))))))))) -> 1'(3'(1'(2'(1'(3'(3'(1'(0'(0'(0'(2'(1'(3'(2'(2'(2'(2'(x1)))))))))))))))))) [1]
   1'(c_1(c_3(c_3(c_1(c_0(c_2(c_3(c_2(c_1(c_3(c_2(c_0(c_1(c_1(c_1(c_1(c_1(x1)))))))))))))))))) -> 1'(3'(1'(1'(1'(1'(1'(2'(1'(1'(3'(0'(3'(3'(0'(2'(2'(1'(x1)))))))))))))))))) [1]
   0'(c_0(c_3(c_1(c_0(c_0(c_2(c_2(c_0(c_0(c_0(c_2(c_2(c_3(c_2(c_2(c_2(c_0(x1)))))))))))))))))) -> 0'(0'(2'(0'(2'(0'(0'(2'(2'(0'(2'(3'(1'(3'(0'(2'(2'(0'(x1)))))))))))))))))) [1]
   1'(c_3(c_0(c_1(c_3(c_2(c_2(c_2(c_2(c_1(c_0(c_0(c_1(c_2(c_2(c_0(c_0(c_1(x1)))))))))))))))))) -> 1'(2'(2'(1'(1'(2'(1'(2'(0'(0'(3'(1'(2'(0'(0'(0'(3'(2'(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_2(c_0(c_3(c_2(c_1(c_0(x1)))))))))))))))))) -> 3'(3'(1'(0'(0'(2'(1'(1'(1'(2'(3'(1'(1'(2'(0'(0'(3'(0'(x1)))))))))))))))))) [1]
   1'(c_3(c_1(c_2(c_2(c_2(c_1(c_3(c_3(c_0(c_1(c_1(c_0(c_0(c_2(c_2(c_3(c_2(x1)))))))))))))))))) -> 1'(2'(2'(3'(0'(2'(3'(0'(3'(2'(3'(1'(1'(0'(1'(2'(1'(2'(x1)))))))))))))))))) [1]
   3'(c_2(c_2(c_2(c_2(c_3(c_3(c_1(c_3(c_1(c_1(c_3(c_3(c_1(c_2(c_2(c_3(c_2(x1)))))))))))))))))) -> 3'(2'(3'(2'(3'(1'(2'(3'(1'(2'(3'(3'(2'(3'(2'(1'(1'(2'(x1)))))))))))))))))) [1]
   encArg(cons_0(x_1)) -> 0'(encArg(x_1)) [0]
   encArg(cons_1(x_1)) -> 1'(encArg(x_1)) [0]
   encArg(cons_2(x_1)) -> 2'(encArg(x_1)) [0]
   encArg(cons_3(x_1)) -> 3'(encArg(x_1)) [0]
   encode_0(x_1) -> 0'(encArg(x_1)) [0]
   encode_1(x_1) -> 1'(encArg(x_1)) [0]
   encode_3(x_1) -> 3'(encArg(x_1)) [0]
   encode_2(x_1) -> 2'(encArg(x_1)) [0]
   0'(x0) -> c_0(x0) [0]
   1'(x0) -> c_1(x0) [0]
   2'(x0) -> c_2(x0) [0]
   3'(x0) -> c_3(x0) [0]
   encArg(v0) -> null_encArg [0]
   encode_0(v0) -> null_encode_0 [0]
   encode_1(v0) -> null_encode_1 [0]
   encode_3(v0) -> null_encode_3 [0]
   encode_2(v0) -> null_encode_2 [0]
   0'(v0) -> null_0' [0]
   1'(v0) -> null_1' [0]
   2'(v0) -> null_2' [0]
   3'(v0) -> null_3' [0]

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

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

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

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

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

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

   0'(z) -{ 1 }-> 3'(0'(1'(3'(3'(0'(0'(0'(0'(2'(1'(2'(0'(3'(1'(2'(1'(3'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   0'(z) -{ 1 }-> 3'(0'(0'(2'(0'(1'(1'(0'(2'(0'(3'(1'(0'(1'(0'(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
   0'(z) -{ 1 }-> 2'(3'(0'(2'(1'(2'(3'(1'(2'(3'(0'(3'(3'(1'(0'(2'(0'(0'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   0'(z) -{ 1 }-> 2'(1'(2'(1'(2'(3'(2'(1'(2'(1'(2'(0'(0'(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
   0'(z) -{ 1 }-> 2'(1'(1'(0'(3'(3'(0'(1'(3'(1'(2'(3'(2'(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
   0'(z) -{ 1 }-> 2'(0'(0'(1'(3'(1'(2'(1'(2'(0'(3'(2'(0'(0'(3'(0'(1'(2'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   0'(z) -{ 1 }-> 1'(2'(3'(1'(1'(0'(0'(1'(1'(3'(0'(0'(2'(0'(2'(1'(1'(1'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   0'(z) -{ 1 }-> 1'(0'(3'(3'(3'(3'(1'(1'(2'(2'(3'(1'(2'(1'(2'(0'(1'(1'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   0'(z) -{ 1 }-> 0'(3'(2'(0'(3'(1'(3'(1'(1'(0'(3'(0'(0'(1'(0'(1'(1'(3'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   0'(z) -{ 1 }-> 0'(3'(1'(1'(0'(3'(2'(0'(2'(1'(2'(2'(0'(3'(1'(1'(0'(0'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   0'(z) -{ 1 }-> 0'(3'(0'(3'(3'(1'(3'(0'(3'(3'(3'(1'(3'(0'(3'(2'(3'(3'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   0'(z) -{ 1 }-> 0'(3'(0'(0'(3'(0'(2'(1'(2'(1'(0'(0'(1'(2'(0'(2'(0'(2'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   0'(z) -{ 1 }-> 0'(2'(3'(3'(2'(3'(2'(0'(1'(2'(0'(1'(1'(1'(0'(3'(1'(2'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   0'(z) -{ 1 }-> 0'(2'(3'(3'(0'(3'(1'(0'(2'(3'(1'(0'(3'(3'(2'(1'(1'(1'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   0'(z) -{ 1 }-> 0'(2'(3'(1'(2'(1'(1'(1'(2'(0'(3'(3'(3'(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
   0'(z) -{ 1 }-> 0'(2'(1'(1'(1'(0'(2'(0'(2'(0'(0'(0'(0'(3'(2'(0'(2'(0'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   0'(z) -{ 1 }-> 0'(2'(0'(1'(1'(2'(3'(3'(1'(1'(3'(0'(2'(0'(2'(0'(3'(1'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   0'(z) -{ 1 }-> 0'(2'(0'(0'(3'(1'(1'(2'(3'(0'(2'(0'(0'(3'(0'(0'(0'(2'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   0'(z) -{ 1 }-> 0'(1'(2'(0'(3'(1'(0'(0'(1'(1'(0'(1'(3'(1'(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
   0'(z) -{ 1 }-> 0'(1'(1'(1'(2'(1'(2'(1'(3'(2'(3'(0'(1'(2'(0'(1'(2'(2'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   0'(z) -{ 1 }-> 0'(0'(3'(1'(1'(3'(1'(0'(0'(2'(1'(0'(3'(0'(0'(0'(3'(2'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   0'(z) -{ 1 }-> 0'(0'(3'(1'(1'(0'(3'(2'(2'(0'(2'(3'(3'(1'(2'(3'(0'(1'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   0'(z) -{ 1 }-> 0'(0'(2'(0'(2'(0'(0'(2'(2'(0'(2'(3'(1'(3'(0'(2'(2'(0'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   0'(z) -{ 1 }-> 0'(0'(0'(2'(2'(2'(0'(3'(0'(1'(1'(1'(1'(1'(0'(0'(2'(0'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   0'(z) -{ 1 }-> 0'(0'(0'(2'(1'(2'(0'(1'(1'(2'(1'(0'(3'(3'(1'(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
   0'(z) -{ 0 }-> 0 :|: v0 >= 0, z = v0
   0'(z) -{ 0 }-> 1 + x0 :|: z = x0, x0 >= 0
   1'(z) -{ 1 }-> 1'(3'(3'(3'(1'(1'(0'(2'(3'(3'(3'(3'(3'(2'(0'(3'(2'(3'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   1'(z) -{ 1 }-> 1'(3'(3'(3'(0'(1'(1'(2'(0'(3'(1'(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 }-> 1'(3'(3'(2'(1'(2'(0'(1'(3'(1'(3'(0'(0'(0'(1'(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 }-> 1'(3'(3'(0'(0'(2'(0'(1'(2'(2'(2'(0'(2'(1'(0'(2'(0'(0'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   1'(z) -{ 1 }-> 1'(3'(1'(2'(1'(3'(3'(1'(0'(0'(0'(2'(1'(3'(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
   1'(z) -{ 1 }-> 1'(3'(1'(1'(1'(1'(1'(2'(1'(1'(3'(0'(3'(3'(0'(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
   1'(z) -{ 1 }-> 1'(3'(1'(1'(1'(0'(1'(3'(0'(0'(0'(0'(1'(1'(0'(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 }-> 1'(3'(0'(2'(1'(2'(0'(1'(2'(0'(0'(2'(2'(1'(3'(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'(2'(3'(0'(2'(2'(3'(0'(2'(3'(2'(1'(3'(1'(2'(0'(3'(3'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   1'(z) -{ 1 }-> 1'(2'(2'(3'(0'(2'(3'(0'(3'(2'(3'(1'(1'(0'(1'(2'(1'(2'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   1'(z) -{ 1 }-> 1'(2'(2'(1'(1'(2'(1'(2'(0'(0'(3'(1'(2'(0'(0'(0'(3'(2'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   1'(z) -{ 1 }-> 1'(2'(2'(1'(1'(2'(0'(3'(1'(0'(3'(1'(0'(2'(2'(3'(0'(2'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   1'(z) -{ 1 }-> 1'(2'(1'(2'(2'(1'(2'(1'(0'(1'(2'(2'(0'(2'(3'(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
   1'(z) -{ 1 }-> 1'(2'(1'(1'(3'(2'(0'(1'(0'(2'(1'(0'(2'(3'(1'(2'(3'(1'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   1'(z) -{ 1 }-> 1'(2'(0'(3'(1'(1'(1'(0'(1'(2'(1'(2'(1'(1'(1'(3'(0'(3'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   1'(z) -{ 1 }-> 1'(2'(0'(0'(0'(0'(0'(3'(1'(3'(3'(3'(2'(1'(2'(3'(1'(0'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   1'(z) -{ 1 }-> 1'(1'(2'(3'(1'(3'(0'(1'(1'(1'(2'(3'(0'(2'(3'(1'(1'(2'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   1'(z) -{ 1 }-> 1'(1'(0'(3'(2'(3'(1'(2'(1'(2'(0'(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
   1'(z) -{ 1 }-> 1'(0'(3'(0'(0'(3'(3'(1'(2'(3'(1'(2'(1'(1'(2'(3'(1'(2'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   1'(z) -{ 1 }-> 1'(0'(3'(0'(0'(0'(2'(2'(3'(3'(1'(2'(0'(1'(2'(1'(2'(1'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   1'(z) -{ 1 }-> 1'(0'(2'(1'(0'(1'(0'(2'(0'(3'(3'(3'(1'(2'(0'(0'(3'(3'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   1'(z) -{ 0 }-> 0 :|: v0 >= 0, z = v0
   1'(z) -{ 0 }-> 1 + x0 :|: z = x0, x0 >= 0
   2'(z) -{ 1 }-> 2'(3'(2'(3'(0'(0'(2'(2'(2'(1'(1'(0'(3'(2'(0'(3'(3'(3'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   2'(z) -{ 1 }-> 2'(3'(1'(2'(1'(2'(0'(2'(2'(1'(0'(0'(3'(3'(2'(0'(3'(3'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   2'(z) -{ 1 }-> 2'(2'(3'(0'(3'(1'(2'(3'(3'(3'(0'(2'(1'(2'(2'(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'(2'(1'(1'(1'(2'(2'(2'(1'(2'(1'(0'(3'(3'(3'(3'(3'(3'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   2'(z) -{ 1 }-> 2'(2'(0'(0'(3'(0'(2'(2'(1'(2'(3'(1'(2'(3'(1'(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'(0'(2'(0'(0'(1'(1'(2'(3'(1'(1'(0'(2'(3'(2'(3'(0'(2'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   2'(z) -{ 1 }-> 2'(0'(1'(1'(1'(0'(3'(1'(2'(1'(0'(1'(2'(3'(3'(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'(0'(0'(2'(0'(2'(2'(1'(2'(1'(2'(3'(0'(3'(2'(3'(1'(0'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   2'(z) -{ 1 }-> 2'(0'(0'(1'(2'(2'(2'(1'(2'(2'(2'(0'(1'(2'(1'(2'(2'(1'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   2'(z) -{ 0 }-> 0 :|: v0 >= 0, z = v0
   2'(z) -{ 0 }-> 1 + x0 :|: z = x0, x0 >= 0
   3'(z) -{ 1 }-> 3'(3'(3'(0'(3'(2'(0'(2'(3'(0'(2'(2'(0'(1'(3'(0'(3'(0'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   3'(z) -{ 1 }-> 3'(3'(2'(0'(3'(1'(0'(2'(1'(2'(3'(0'(1'(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
   3'(z) -{ 1 }-> 3'(3'(1'(0'(0'(2'(1'(1'(1'(2'(3'(1'(1'(2'(0'(0'(3'(0'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   3'(z) -{ 1 }-> 3'(2'(3'(2'(3'(1'(2'(3'(1'(2'(3'(3'(2'(3'(2'(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
   3'(z) -{ 1 }-> 3'(2'(3'(1'(1'(2'(3'(0'(2'(1'(3'(1'(1'(2'(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
   3'(z) -{ 1 }-> 3'(2'(3'(1'(0'(2'(2'(2'(1'(3'(3'(2'(1'(0'(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
   3'(z) -{ 1 }-> 3'(2'(2'(3'(3'(0'(3'(1'(2'(2'(0'(1'(0'(0'(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
   3'(z) -{ 1 }-> 3'(2'(0'(3'(1'(2'(0'(3'(3'(1'(1'(1'(0'(2'(3'(2'(3'(3'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   3'(z) -{ 1 }-> 3'(2'(0'(1'(2'(0'(1'(3'(3'(2'(3'(3'(3'(3'(1'(2'(2'(2'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   3'(z) -{ 1 }-> 3'(2'(0'(0'(1'(1'(1'(0'(0'(3'(3'(2'(3'(0'(0'(0'(2'(0'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   3'(z) -{ 1 }-> 3'(1'(3'(1'(2'(2'(3'(3'(3'(3'(3'(3'(3'(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
   3'(z) -{ 1 }-> 3'(1'(2'(1'(2'(3'(2'(0'(2'(3'(2'(0'(0'(3'(3'(3'(3'(0'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   3'(z) -{ 1 }-> 3'(1'(1'(2'(2'(3'(1'(1'(0'(1'(2'(1'(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
   3'(z) -{ 1 }-> 3'(1'(1'(1'(3'(1'(1'(1'(0'(3'(0'(0'(1'(2'(3'(3'(0'(3'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   3'(z) -{ 1 }-> 3'(1'(0'(3'(1'(3'(3'(3'(0'(2'(3'(0'(3'(2'(2'(0'(1'(2'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   3'(z) -{ 1 }-> 3'(0'(3'(1'(1'(2'(2'(1'(3'(0'(3'(3'(0'(3'(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
   3'(z) -{ 1 }-> 3'(0'(2'(1'(2'(1'(2'(2'(3'(1'(2'(0'(2'(1'(1'(2'(3'(3'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   3'(z) -{ 1 }-> 3'(0'(1'(1'(3'(3'(0'(2'(3'(1'(2'(1'(3'(0'(2'(0'(1'(2'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   3'(z) -{ 1 }-> 3'(0'(1'(1'(1'(1'(2'(2'(3'(0'(1'(2'(0'(3'(0'(2'(0'(2'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   3'(z) -{ 1 }-> 3'(0'(0'(3'(0'(3'(3'(0'(0'(1'(1'(0'(1'(2'(1'(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'(0'(3'(0'(3'(2'(1'(1'(0'(0'(0'(2'(1'(1'(1'(0'(2'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   3'(z) -{ 1 }-> 3'(0'(0'(2'(3'(1'(1'(1'(0'(1'(3'(0'(1'(0'(3'(2'(1'(1'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   3'(z) -{ 1 }-> 3'(0'(0'(2'(0'(0'(3'(0'(3'(3'(2'(1'(2'(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 }-> 0'(3'(0'(0'(0'(2'(3'(2'(1'(3'(0'(2'(2'(1'(1'(1'(2'(2'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   3'(z) -{ 1 }-> 0'(2'(0'(3'(0'(0'(2'(0'(3'(3'(0'(0'(0'(2'(1'(0'(1'(2'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   3'(z) -{ 0 }-> 0 :|: v0 >= 0, z = v0
   3'(z) -{ 0 }-> 1 + x0 :|: z = x0, x0 >= 0
   encArg(z) -{ 0 }-> 3'(encArg(x_1)) :|: z = 1 + x_1, x_1 >= 0
   encArg(z) -{ 0 }-> 2'(encArg(x_1)) :|: z = 1 + x_1, x_1 >= 0
   encArg(z) -{ 0 }-> 1'(encArg(x_1)) :|: z = 1 + x_1, x_1 >= 0
   encArg(z) -{ 0 }-> 0'(encArg(x_1)) :|: z = 1 + x_1, x_1 >= 0
   encArg(z) -{ 0 }-> 0 :|: v0 >= 0, z = v0
   encode_0(z) -{ 0 }-> 0'(encArg(x_1)) :|: x_1 >= 0, z = x_1
   encode_0(z) -{ 0 }-> 0 :|: v0 >= 0, z = v0
   encode_1(z) -{ 0 }-> 1'(encArg(x_1)) :|: x_1 >= 0, z = x_1
   encode_1(z) -{ 0 }-> 0 :|: v0 >= 0, z = v0
   encode_2(z) -{ 0 }-> 2'(encArg(x_1)) :|: x_1 >= 0, z = x_1
   encode_2(z) -{ 0 }-> 0 :|: v0 >= 0, z = v0
   encode_3(z) -{ 0 }-> 3'(encArg(x_1)) :|: x_1 >= 0, z = x_1
   encode_3(z) -{ 0 }-> 0 :|: v0 >= 0, z = v0

Only complete derivations are relevant for the runtime complexity.

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

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

(38)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(cons_0(z0)) -> 0(encArg(z0))
   encArg(cons_1(z0)) -> 1(encArg(z0))
   encArg(cons_2(z0)) -> 2(encArg(z0))
   encArg(cons_3(z0)) -> 3(encArg(z0))
   encode_0(z0) -> 0(encArg(z0))
   encode_1(z0) -> 1(encArg(z0))
   encode_3(z0) -> 3(encArg(z0))
   encode_2(z0) -> 2(encArg(z0))
   0(z0) -> c_0(z0)
   0(c_2(c_3(c_3(c_2(c_1(c_3(c_0(c_1(c_3(c_1(c_3(c_3(c_0(c_2(c_1(c_0(c_1(z0)))))))))))))))))) -> 0(2(3(3(0(3(1(0(2(3(1(0(3(3(2(1(1(1(z0))))))))))))))))))
   0(c_3(c_1(c_0(c_2(c_2(c_1(c_0(c_1(c_1(c_0(c_0(c_3(c_1(c_2(c_2(c_3(c_0(z0)))))))))))))))))) -> 0(3(1(1(0(3(2(0(2(1(2(2(0(3(1(1(0(0(z0))))))))))))))))))
   0(c_1(c_0(c_3(c_2(c_2(c_3(c_2(c_0(c_1(c_1(c_1(c_1(c_0(c_1(c_0(c_1(c_1(z0)))))))))))))))))) -> 1(2(3(1(1(0(0(1(1(3(0(0(2(0(2(1(1(1(z0))))))))))))))))))
   0(c_2(c_0(c_2(c_2(c_1(c_1(c_0(c_2(c_0(c_0(c_0(c_1(c_0(c_3(c_0(c_2(c_0(z0)))))))))))))))))) -> 0(2(1(1(1(0(2(0(2(0(0(0(0(3(2(0(2(0(z0))))))))))))))))))
   0(c_0(c_2(c_0(c_0(c_0(c_1(c_1(c_0(c_2(c_2(c_3(c_3(c_0(c_0(c_3(c_0(c_2(z0)))))))))))))))))) -> 0(2(0(0(3(1(1(2(3(0(2(0(0(3(0(0(0(2(z0))))))))))))))))))
   0(c_0(c_3(c_2(c_0(c_0(c_1(c_0(c_1(c_3(c_2(c_3(c_2(c_2(c_2(c_0(c_1(c_1(z0)))))))))))))))))) -> 2(0(0(1(3(1(2(1(2(0(3(2(0(0(3(0(1(2(z0))))))))))))))))))
   0(c_2(c_2(c_2(c_2(c_2(c_1(c_3(c_1(c_0(c_1(c_2(c_3(c_2(c_0(c_1(c_1(c_2(z0)))))))))))))))))) -> 2(1(2(1(2(3(2(1(2(1(2(0(0(2(0(1(3(2(z0))))))))))))))))))
   0(c_0(c_2(c_1(c_0(c_0(c_1(c_0(c_1(c_0(c_3(c_1(c_3(c_3(c_2(c_0(c_1(c_1(z0)))))))))))))))))) -> 3(0(0(2(0(1(1(0(2(0(3(1(0(1(0(3(1(1(z0))))))))))))))))))
   0(c_0(c_0(c_1(c_3(c_2(c_2(c_3(c_0(c_2(c_2(c_0(c_1(c_0(c_0(c_0(c_1(c_2(z0)))))))))))))))))) -> 0(3(0(0(3(0(2(1(2(1(0(0(1(2(0(2(0(2(z0))))))))))))))))))
   0(c_2(c_2(c_1(c_3(c_0(c_0(c_1(c_3(c_0(c_1(c_0(c_3(c_3(c_2(c_0(c_1(c_3(z0)))))))))))))))))) -> 3(0(1(3(3(0(0(0(0(2(1(2(0(3(1(2(1(3(z0))))))))))))))))))
   0(c_2(c_3(c_1(c_3(c_3(c_1(c_3(c_2(c_3(c_2(c_2(c_1(c_0(c_1(c_1(c_1(c_1(z0)))))))))))))))))) -> 1(0(3(3(3(3(1(1(2(2(3(1(2(1(2(0(1(1(z0))))))))))))))))))
   0(c_1(c_1(c_0(c_0(c_2(c_2(c_0(c_3(c_2(c_1(c_0(c_3(c_1(c_1(c_0(c_2(c_2(z0)))))))))))))))))) -> 0(0(0(2(1(2(0(1(1(2(1(0(3(3(1(0(2(2(z0))))))))))))))))))
   0(c_1(c_0(c_1(c_0(c_3(c_0(c_1(c_3(c_1(c_3(c_0(c_1(c_0(c_1(c_3(c_2(c_1(z0)))))))))))))))))) -> 0(1(2(0(3(1(0(0(1(1(0(1(3(1(0(3(3(1(z0))))))))))))))))))
   0(c_2(c_2(c_2(c_3(c_3(c_0(c_1(c_3(c_1(c_1(c_1(c_0(c_1(c_3(c_2(c_0(c_2(z0)))))))))))))))))) -> 2(1(1(0(3(3(0(1(3(1(2(3(2(0(1(2(0(2(z0))))))))))))))))))
   0(c_0(c_1(c_3(c_2(c_1(c_0(c_1(c_2(c_2(c_1(c_1(c_1(c_1(c_2(c_3(c_2(c_2(z0)))))))))))))))))) -> 0(1(1(1(2(1(2(1(3(2(3(0(1(2(0(1(2(2(z0))))))))))))))))))
   0(c_2(c_2(c_0(c_3(c_1(c_3(c_1(c_3(c_3(c_1(c_2(c_1(c_0(c_0(c_2(c_0(c_1(z0)))))))))))))))))) -> 0(2(0(1(1(2(3(3(1(1(3(0(2(0(2(0(3(1(z0))))))))))))))))))
   0(c_2(c_3(c_1(c_3(c_2(c_3(c_1(c_1(c_0(c_2(c_3(c_2(c_1(c_0(c_0(c_1(c_2(z0)))))))))))))))))) -> 0(2(3(3(2(3(2(0(1(2(0(1(1(1(0(3(1(2(z0))))))))))))))))))
   0(c_2(c_3(c_2(c_1(c_1(c_3(c_3(c_1(c_3(c_0(c_1(c_0(c_1(c_1(c_3(c_2(c_1(z0)))))))))))))))))) -> 0(2(3(1(2(1(1(1(2(0(3(3(3(3(0(1(1(1(z0))))))))))))))))))
   0(c_0(c_1(c_1(c_3(c_2(c_3(c_2(c_3(c_2(c_0(c_0(c_2(c_3(c_2(c_3(c_1(c_0(z0)))))))))))))))))) -> 2(3(0(2(1(2(3(1(2(3(0(3(3(1(0(2(0(0(z0))))))))))))))))))
   0(c_0(c_2(c_0(c_3(c_2(c_2(c_3(c_3(c_1(c_3(c_2(c_1(c_1(c_3(c_0(c_0(c_1(z0)))))))))))))))))) -> 0(0(3(1(1(0(3(2(2(0(2(3(3(1(2(3(0(1(z0))))))))))))))))))
   0(c_3(c_1(c_0(c_0(c_3(c_0(c_0(c_1(c_0(c_3(c_2(c_1(c_3(c_0(c_0(c_1(c_2(z0)))))))))))))))))) -> 0(0(3(1(1(3(1(0(0(2(1(0(3(0(0(0(3(2(z0))))))))))))))))))
   0(c_3(c_0(c_1(c_3(c_1(c_3(c_2(c_0(c_1(c_0(c_1(c_0(c_0(c_3(c_1(c_1(c_3(z0)))))))))))))))))) -> 0(3(2(0(3(1(3(1(1(0(3(0(0(1(0(1(1(3(z0))))))))))))))))))
   0(c_0(c_3(c_3(c_1(c_3(c_3(c_0(c_1(c_3(c_2(c_3(c_3(c_3(c_0(c_3(c_3(c_3(z0)))))))))))))))))) -> 0(3(0(3(3(1(3(0(3(3(3(1(3(0(3(2(3(3(z0))))))))))))))))))
   0(c_0(c_2(c_0(c_1(c_1(c_2(c_0(c_1(c_0(c_1(c_0(c_1(c_0(c_2(c_3(c_2(c_0(z0)))))))))))))))))) -> 0(0(0(2(2(2(0(3(0(1(1(1(1(1(0(0(2(0(z0))))))))))))))))))
   0(c_0(c_3(c_1(c_0(c_0(c_2(c_2(c_0(c_0(c_0(c_2(c_2(c_3(c_2(c_2(c_2(c_0(z0)))))))))))))))))) -> 0(0(2(0(2(0(0(2(2(0(2(3(1(3(0(2(2(0(z0))))))))))))))))))
   1(z0) -> c_1(z0)
   1(c_0(c_0(c_0(c_3(c_0(c_2(c_3(c_1(c_2(c_3(c_1(c_1(c_2(c_2(c_2(c_2(c_3(z0)))))))))))))))))) -> 1(3(0(2(1(2(0(1(2(0(0(2(2(1(3(3(2(3(z0))))))))))))))))))
   1(c_3(c_1(c_3(c_2(c_2(c_0(c_0(c_0(c_0(c_1(c_3(c_2(c_0(c_1(c_3(c_3(c_0(z0)))))))))))))))))) -> 1(2(0(0(0(0(0(3(1(3(3(3(2(1(2(3(1(0(z0))))))))))))))))))
   1(c_1(c_2(c_0(c_2(c_2(c_1(c_2(c_3(c_2(c_3(c_1(c_0(c_0(c_1(c_3(c_0(c_2(z0)))))))))))))))))) -> 1(2(2(1(1(2(0(3(1(0(3(1(0(2(2(3(0(2(z0))))))))))))))))))
   1(c_0(c_3(c_2(c_3(c_2(c_2(c_0(c_3(c_2(c_2(c_1(c_1(c_0(c_3(c_2(c_3(c_3(z0)))))))))))))))))) -> 1(2(3(0(2(2(3(0(2(3(2(1(3(1(2(0(3(3(z0))))))))))))))))))
   1(c_1(c_0(c_1(c_1(c_3(c_2(c_0(c_2(c_1(c_2(c_2(c_1(c_2(c_3(c_1(c_1(c_1(z0)))))))))))))))))) -> 1(1(0(3(2(3(1(2(1(2(0(2(2(1(1(1(1(1(z0))))))))))))))))))
   1(c_3(c_2(c_3(c_0(c_3(c_3(c_3(c_1(c_3(c_3(c_1(c_3(c_3(c_3(c_2(c_2(c_0(z0)))))))))))))))))) -> 1(3(3(3(1(1(0(2(3(3(3(3(3(2(0(3(2(3(z0))))))))))))))))))
   1(c_3(c_3(c_1(c_1(c_3(c_0(c_2(c_0(c_1(c_3(c_1(c_3(c_0(c_3(c_2(c_2(c_1(z0)))))))))))))))))) -> 1(3(3(3(0(1(1(2(0(3(1(1(2(3(3(0(2(1(z0))))))))))))))))))
   1(c_0(c_0(c_0(c_1(c_3(c_2(c_2(c_2(c_2(c_2(c_3(c_1(c_3(c_1(c_1(c_1(c_1(z0)))))))))))))))))) -> 1(2(1(1(3(2(0(1(0(2(1(0(2(3(1(2(3(1(z0))))))))))))))))))
   1(c_1(c_0(c_0(c_3(c_2(c_2(c_2(c_2(c_0(c_3(c_2(c_2(c_0(c_0(c_1(c_0(c_0(z0)))))))))))))))))) -> 1(3(3(0(0(2(0(1(2(2(2(0(2(1(0(2(0(0(z0))))))))))))))))))
   1(c_0(c_1(c_0(c_1(c_3(c_0(c_2(c_3(c_0(c_1(c_3(c_3(c_2(c_1(c_0(c_1(c_3(z0)))))))))))))))))) -> 1(3(3(2(1(2(0(1(3(1(3(0(0(0(1(0(1(3(z0))))))))))))))))))
   1(c_0(c_1(c_1(c_3(c_2(c_1(c_1(c_0(c_0(c_0(c_1(c_3(c_0(c_0(c_0(c_1(c_0(z0)))))))))))))))))) -> 1(3(1(1(1(0(1(3(0(0(0(0(1(1(0(0(2(0(z0))))))))))))))))))
   1(c_0(c_2(c_3(c_0(c_1(c_0(c_2(c_0(c_1(c_0(c_3(c_1(c_2(c_2(c_2(c_3(c_1(z0)))))))))))))))))) -> 1(0(3(0(0(0(2(2(3(3(1(2(0(1(2(1(2(1(z0))))))))))))))))))
   1(c_2(c_2(c_1(c_2(c_2(c_1(c_0(c_1(c_2(c_1(c_1(c_0(c_2(c_3(c_2(c_2(c_0(z0)))))))))))))))))) -> 1(2(1(2(2(1(2(1(0(1(2(2(0(2(3(1(2(0(z0))))))))))))))))))
   1(c_1(c_1(c_0(c_1(c_1(c_3(c_2(c_3(c_0(c_0(c_3(c_3(c_3(c_2(c_2(c_2(c_1(z0)))))))))))))))))) -> 1(0(3(0(0(3(3(1(2(3(1(2(1(1(2(3(1(2(z0))))))))))))))))))
   1(c_1(c_3(c_3(c_2(c_1(c_1(c_1(c_3(c_3(c_1(c_1(c_0(c_2(c_0(c_2(c_1(c_2(z0)))))))))))))))))) -> 1(1(2(3(1(3(0(1(1(1(2(3(0(2(3(1(1(2(z0))))))))))))))))))
   1(c_0(c_3(c_0(c_2(c_0(c_3(c_0(c_1(c_1(c_2(c_3(c_0(c_1(c_3(c_2(c_0(c_3(z0)))))))))))))))))) -> 1(0(2(1(0(1(0(2(0(3(3(3(1(2(0(0(3(3(z0))))))))))))))))))
   1(c_1(c_1(c_0(c_1(c_1(c_2(c_2(c_2(c_1(c_0(c_1(c_1(c_1(c_3(c_3(c_0(c_3(z0)))))))))))))))))) -> 1(2(0(3(1(1(1(0(1(2(1(2(1(1(1(3(0(3(z0))))))))))))))))))
   1(c_0(c_1(c_3(c_2(c_0(c_2(c_1(c_3(c_3(c_2(c_1(c_3(c_2(c_2(c_0(c_1(c_2(z0)))))))))))))))))) -> 1(3(1(2(1(3(3(1(0(0(0(2(1(3(2(2(2(2(z0))))))))))))))))))
   1(c_1(c_3(c_3(c_1(c_0(c_2(c_3(c_2(c_1(c_3(c_2(c_0(c_1(c_1(c_1(c_1(c_1(z0)))))))))))))))))) -> 1(3(1(1(1(1(1(2(1(1(3(0(3(3(0(2(2(1(z0))))))))))))))))))
   1(c_3(c_0(c_1(c_3(c_2(c_2(c_2(c_2(c_1(c_0(c_0(c_1(c_2(c_2(c_0(c_0(c_1(z0)))))))))))))))))) -> 1(2(2(1(1(2(1(2(0(0(3(1(2(0(0(0(3(2(z0))))))))))))))))))
   1(c_3(c_1(c_2(c_2(c_2(c_1(c_3(c_3(c_0(c_1(c_1(c_0(c_0(c_2(c_2(c_3(c_2(z0)))))))))))))))))) -> 1(2(2(3(0(2(3(0(3(2(3(1(1(0(1(2(1(2(z0))))))))))))))))))
   2(z0) -> c_2(z0)
   2(c_0(c_2(c_2(c_3(c_2(c_0(c_2(c_0(c_1(c_1(c_3(c_1(c_3(c_3(c_3(c_2(c_0(z0)))))))))))))))))) -> 2(3(1(2(1(2(0(2(2(1(0(0(3(3(2(0(3(3(z0))))))))))))))))))
   2(c_1(c_0(c_0(c_2(c_2(c_2(c_0(c_1(c_3(c_1(c_3(c_2(c_3(c_2(c_1(c_1(c_2(z0)))))))))))))))))) -> 2(2(0(0(3(0(2(2(1(2(3(1(2(3(1(1(1(2(z0))))))))))))))))))
   2(c_0(c_2(c_0(c_0(c_1(c_1(c_1(c_3(c_1(c_1(c_3(c_2(c_3(c_1(c_3(c_2(c_3(z0)))))))))))))))))) -> 2(0(1(1(1(0(3(1(2(1(0(1(2(3(3(3(2(3(z0))))))))))))))))))
   2(c_3(c_1(c_0(c_0(c_3(c_1(c_0(c_1(c_3(c_0(c_1(c_2(c_2(c_2(c_2(c_0(c_2(z0)))))))))))))))))) -> 2(0(2(0(0(1(1(2(3(1(1(0(2(3(2(3(0(2(z0))))))))))))))))))
   2(c_1(c_3(c_3(c_2(c_1(c_2(c_3(c_1(c_3(c_3(c_1(c_2(c_1(c_2(c_2(c_0(c_3(z0)))))))))))))))))) -> 2(2(1(1(1(2(2(2(1(2(1(0(3(3(3(3(3(3(z0))))))))))))))))))
   2(c_1(c_0(c_2(c_1(c_0(c_0(c_1(c_1(c_2(c_2(c_2(c_2(c_2(c_2(c_2(c_2(c_1(z0)))))))))))))))))) -> 2(0(0(1(2(2(2(1(2(2(2(0(1(2(1(2(2(1(z0))))))))))))))))))
   2(c_3(c_0(c_1(c_0(c_0(c_3(c_1(c_0(c_3(c_2(c_3(c_2(c_2(c_2(c_3(c_3(c_2(z0)))))))))))))))))) -> 2(3(2(3(0(0(2(2(2(1(1(0(3(2(0(3(3(3(z0))))))))))))))))))
   2(c_2(c_3(c_1(c_0(c_3(c_2(c_2(c_2(c_2(c_3(c_1(c_3(c_3(c_0(c_2(c_3(c_2(z0)))))))))))))))))) -> 2(2(3(0(3(1(2(3(3(3(0(2(1(2(2(3(2(2(z0))))))))))))))))))
   2(c_1(c_1(c_3(c_2(c_0(c_0(c_0(c_2(c_1(c_0(c_2(c_2(c_3(c_2(c_3(c_2(c_0(z0)))))))))))))))))) -> 2(0(0(2(0(2(2(1(2(1(2(3(0(3(2(3(1(0(z0))))))))))))))))))
   3(z0) -> c_3(z0)
   3(c_3(c_1(c_2(c_1(c_3(c_2(c_2(c_1(c_2(c_1(c_2(c_2(c_0(c_3(c_2(c_1(c_0(z0)))))))))))))))))) -> 3(0(2(1(2(1(2(2(3(1(2(0(2(1(1(2(3(3(z0))))))))))))))))))
   3(c_3(c_0(c_2(c_0(c_1(c_3(c_1(c_0(c_2(c_2(c_2(c_2(c_0(c_3(c_3(c_1(c_0(z0)))))))))))))))))) -> 3(3(2(0(3(1(0(2(1(2(3(0(1(0(2(3(2(0(z0))))))))))))))))))
   3(c_1(c_0(c_2(c_1(c_0(c_1(c_0(c_1(c_0(c_2(c_2(c_0(c_2(c_3(c_3(c_2(c_2(z0)))))))))))))))))) -> 0(3(0(0(0(2(3(2(1(3(0(2(2(1(1(1(2(2(z0))))))))))))))))))
   3(c_0(c_1(c_0(c_2(c_3(c_2(c_0(c_1(c_0(c_1(c_2(c_3(c_1(c_2(c_0(c_1(c_2(z0)))))))))))))))))) -> 3(0(1(1(1(1(2(2(3(0(1(2(0(3(0(2(0(2(z0))))))))))))))))))
   3(c_2(c_0(c_3(c_0(c_1(c_1(c_0(c_2(c_3(c_0(c_3(c_0(c_0(c_1(c_0(c_2(c_0(z0)))))))))))))))))) -> 3(2(0(0(1(1(1(0(0(3(3(2(3(0(0(0(2(0(z0))))))))))))))))))
   3(c_2(c_2(c_0(c_2(c_3(c_0(c_1(c_0(c_3(c_1(c_3(c_3(c_1(c_3(c_1(c_2(c_3(z0)))))))))))))))))) -> 3(2(0(3(1(2(0(3(3(1(1(1(0(2(3(2(3(3(z0))))))))))))))))))
   3(c_0(c_3(c_0(c_3(c_2(c_2(c_3(c_2(c_1(c_0(c_2(c_3(c_1(c_2(c_3(c_3(c_0(z0)))))))))))))))))) -> 3(1(2(1(2(3(2(0(2(3(2(0(0(3(3(3(3(0(z0))))))))))))))))))
   3(c_1(c_1(c_0(c_1(c_0(c_3(c_1(c_1(c_2(c_1(c_3(c_0(c_3(c_3(c_1(c_0(c_3(z0)))))))))))))))))) -> 3(1(1(1(3(1(1(1(0(3(0(0(1(2(3(3(0(3(z0))))))))))))))))))
   3(c_0(c_1(c_0(c_0(c_2(c_1(c_0(c_1(c_3(c_2(c_1(c_1(c_3(c_3(c_0(c_1(c_1(z0)))))))))))))))))) -> 3(0(0(2(3(1(1(1(0(1(3(0(1(0(3(2(1(1(z0))))))))))))))))))
   3(c_2(c_3(c_2(c_2(c_2(c_0(c_2(c_3(c_0(c_1(c_2(c_3(c_0(c_1(c_1(c_0(c_2(z0)))))))))))))))))) -> 3(2(2(3(3(0(3(1(2(2(0(1(0(0(2(2(1(2(z0))))))))))))))))))
   3(c_0(c_1(c_0(c_0(c_0(c_0(c_3(c_3(c_2(c_0(c_0(c_1(c_0(c_0(c_2(c_2(c_2(z0)))))))))))))))))) -> 0(2(0(3(0(0(2(0(3(3(0(0(0(2(1(0(1(2(z0))))))))))))))))))
   3(c_0(c_0(c_1(c_3(c_1(c_0(c_2(c_3(c_3(c_1(c_3(c_3(c_3(c_3(c_2(c_1(c_0(z0)))))))))))))))))) -> 3(0(3(1(1(2(2(1(3(0(3(3(0(3(3(3(1(0(z0))))))))))))))))))
   3(c_2(c_2(c_1(c_3(c_1(c_2(c_2(c_3(c_3(c_0(c_2(c_1(c_0(c_1(c_3(c_2(c_1(z0)))))))))))))))))) -> 3(2(3(1(1(2(3(0(2(1(3(1(1(2(3(0(2(2(z0))))))))))))))))))
   3(c_2(c_2(c_2(c_2(c_2(c_1(c_0(c_0(c_1(c_3(c_2(c_3(c_1(c_3(c_3(c_2(c_1(z0)))))))))))))))))) -> 3(2(3(1(0(2(2(2(1(3(3(2(1(0(2(2(3(1(z0))))))))))))))))))
   3(c_1(c_2(c_2(c_3(c_1(c_0(c_1(c_1(c_1(c_1(c_3(c_2(c_1(c_1(c_1(c_3(c_1(z0)))))))))))))))))) -> 3(1(1(2(2(3(1(1(0(1(2(1(1(3(1(1(3(1(z0))))))))))))))))))
   3(c_3(c_1(c_3(c_3(c_2(c_1(c_3(c_2(c_3(c_3(c_2(c_3(c_1(c_3(c_2(c_3(c_1(z0)))))))))))))))))) -> 3(1(3(1(2(2(3(3(3(3(3(3(3(2(2(1(3(1(z0))))))))))))))))))
   3(c_0(c_0(c_1(c_3(c_2(c_2(c_1(c_3(c_3(c_0(c_1(c_2(c_1(c_0(c_3(c_1(c_2(z0)))))))))))))))))) -> 3(0(1(1(3(3(0(2(3(1(2(1(3(0(2(0(1(2(z0))))))))))))))))))
   3(c_2(c_1(c_0(c_1(c_0(c_1(c_3(c_0(c_1(c_2(c_3(c_0(c_0(c_1(c_3(c_0(c_1(z0)))))))))))))))))) -> 3(0(0(3(0(3(3(0(0(1(1(0(1(2(1(2(1(1(z0))))))))))))))))))
   3(c_0(c_1(c_0(c_2(c_1(c_0(c_0(c_0(c_0(c_1(c_1(c_3(c_2(c_2(c_3(c_0(c_1(z0)))))))))))))))))) -> 3(0(0(3(0(3(2(1(1(0(0(0(2(1(1(1(0(2(z0))))))))))))))))))
   3(c_3(c_2(c_2(c_3(c_0(c_1(c_3(c_3(c_3(c_0(c_0(c_0(c_2(c_0(c_2(c_3(c_0(z0)))))))))))))))))) -> 3(3(3(0(3(2(0(2(3(0(2(2(0(1(3(0(3(0(z0))))))))))))))))))
   3(c_2(c_0(c_1(c_2(c_3(c_2(c_2(c_1(c_3(c_0(c_3(c_3(c_1(c_3(c_3(c_2(c_2(z0)))))))))))))))))) -> 3(2(0(1(2(0(1(3(3(2(3(3(3(3(1(2(2(2(z0))))))))))))))))))
   3(c_1(c_0(c_3(c_2(c_1(c_0(c_3(c_0(c_2(c_3(c_2(c_3(c_0(c_1(c_3(c_3(c_2(z0)))))))))))))))))) -> 3(1(0(3(1(3(3(3(0(2(3(0(3(2(2(0(1(2(z0))))))))))))))))))
   3(c_3(c_1(c_3(c_0(c_2(c_3(c_3(c_3(c_1(c_0(c_0(c_2(c_2(c_0(c_2(c_0(c_1(z0)))))))))))))))))) -> 3(0(0(2(0(0(3(0(3(3(2(1(2(1(2(3(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_2(c_0(c_3(c_2(c_1(c_0(z0)))))))))))))))))) -> 3(3(1(0(0(2(1(1(1(2(3(1(1(2(0(0(3(0(z0))))))))))))))))))
   3(c_2(c_2(c_2(c_2(c_3(c_3(c_1(c_3(c_1(c_1(c_3(c_3(c_1(c_2(c_2(c_3(c_2(z0)))))))))))))))))) -> 3(2(3(2(3(1(2(3(1(2(3(3(2(3(2(1(1(2(z0))))))))))))))))))
Tuples:
   ENCARG(cons_0(z0)) -> c(0'(encArg(z0)), ENCARG(z0))
   ENCARG(cons_1(z0)) -> c1(1'(encArg(z0)), ENCARG(z0))
   ENCARG(cons_2(z0)) -> c2(2'(encArg(z0)), ENCARG(z0))
   ENCARG(cons_3(z0)) -> c3(3'(encArg(z0)), ENCARG(z0))
   ENCODE_0(z0) -> c4(0'(encArg(z0)), ENCARG(z0))
   ENCODE_1(z0) -> c5(1'(encArg(z0)), ENCARG(z0))
   ENCODE_3(z0) -> c6(3'(encArg(z0)), ENCARG(z0))
   ENCODE_2(z0) -> c7(2'(encArg(z0)), ENCARG(z0))
   0'(z0) -> c8
   0'(c_2(c_3(c_3(c_2(c_1(c_3(c_0(c_1(c_3(c_1(c_3(c_3(c_0(c_2(c_1(c_0(c_1(z0)))))))))))))))))) -> c9(0'(2(3(3(0(3(1(0(2(3(1(0(3(3(2(1(1(1(z0)))))))))))))))))), 2'(3(3(0(3(1(0(2(3(1(0(3(3(2(1(1(1(z0))))))))))))))))), 3'(3(0(3(1(0(2(3(1(0(3(3(2(1(1(1(z0)))))))))))))))), 3'(0(3(1(0(2(3(1(0(3(3(2(1(1(1(z0))))))))))))))), 0'(3(1(0(2(3(1(0(3(3(2(1(1(1(z0)))))))))))))), 3'(1(0(2(3(1(0(3(3(2(1(1(1(z0))))))))))))), 1'(0(2(3(1(0(3(3(2(1(1(1(z0)))))))))))), 0'(2(3(1(0(3(3(2(1(1(1(z0))))))))))), 2'(3(1(0(3(3(2(1(1(1(z0)))))))))), 3'(1(0(3(3(2(1(1(1(z0))))))))), 1'(0(3(3(2(1(1(1(z0)))))))), 0'(3(3(2(1(1(1(z0))))))), 3'(3(2(1(1(1(z0)))))), 3'(2(1(1(1(z0))))), 2'(1(1(1(z0)))), 1'(1(1(z0))), 1'(1(z0)), 1'(z0))
   0'(c_3(c_1(c_0(c_2(c_2(c_1(c_0(c_1(c_1(c_0(c_0(c_3(c_1(c_2(c_2(c_3(c_0(z0)))))))))))))))))) -> c10(0'(3(1(1(0(3(2(0(2(1(2(2(0(3(1(1(0(0(z0)))))))))))))))))), 3'(1(1(0(3(2(0(2(1(2(2(0(3(1(1(0(0(z0))))))))))))))))), 1'(1(0(3(2(0(2(1(2(2(0(3(1(1(0(0(z0)))))))))))))))), 1'(0(3(2(0(2(1(2(2(0(3(1(1(0(0(z0))))))))))))))), 0'(3(2(0(2(1(2(2(0(3(1(1(0(0(z0)))))))))))))), 3'(2(0(2(1(2(2(0(3(1(1(0(0(z0))))))))))))), 2'(0(2(1(2(2(0(3(1(1(0(0(z0)))))))))))), 0'(2(1(2(2(0(3(1(1(0(0(z0))))))))))), 2'(1(2(2(0(3(1(1(0(0(z0)))))))))), 1'(2(2(0(3(1(1(0(0(z0))))))))), 2'(2(0(3(1(1(0(0(z0)))))))), 2'(0(3(1(1(0(0(z0))))))), 0'(3(1(1(0(0(z0)))))), 3'(1(1(0(0(z0))))), 1'(1(0(0(z0)))), 1'(0(0(z0))), 0'(0(z0)), 0'(z0))
   0'(c_1(c_0(c_3(c_2(c_2(c_3(c_2(c_0(c_1(c_1(c_1(c_1(c_0(c_1(c_0(c_1(c_1(z0)))))))))))))))))) -> c11(1'(2(3(1(1(0(0(1(1(3(0(0(2(0(2(1(1(1(z0)))))))))))))))))), 2'(3(1(1(0(0(1(1(3(0(0(2(0(2(1(1(1(z0))))))))))))))))), 3'(1(1(0(0(1(1(3(0(0(2(0(2(1(1(1(z0)))))))))))))))), 1'(1(0(0(1(1(3(0(0(2(0(2(1(1(1(z0))))))))))))))), 1'(0(0(1(1(3(0(0(2(0(2(1(1(1(z0)))))))))))))), 0'(0(1(1(3(0(0(2(0(2(1(1(1(z0))))))))))))), 0'(1(1(3(0(0(2(0(2(1(1(1(z0)))))))))))), 1'(1(3(0(0(2(0(2(1(1(1(z0))))))))))), 1'(3(0(0(2(0(2(1(1(1(z0)))))))))), 3'(0(0(2(0(2(1(1(1(z0))))))))), 0'(0(2(0(2(1(1(1(z0)))))))), 0'(2(0(2(1(1(1(z0))))))), 2'(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))
   0'(c_2(c_0(c_2(c_2(c_1(c_1(c_0(c_2(c_0(c_0(c_0(c_1(c_0(c_3(c_0(c_2(c_0(z0)))))))))))))))))) -> c12(0'(2(1(1(1(0(2(0(2(0(0(0(0(3(2(0(2(0(z0)))))))))))))))))), 2'(1(1(1(0(2(0(2(0(0(0(0(3(2(0(2(0(z0))))))))))))))))), 1'(1(1(0(2(0(2(0(0(0(0(3(2(0(2(0(z0)))))))))))))))), 1'(1(0(2(0(2(0(0(0(0(3(2(0(2(0(z0))))))))))))))), 1'(0(2(0(2(0(0(0(0(3(2(0(2(0(z0)))))))))))))), 0'(2(0(2(0(0(0(0(3(2(0(2(0(z0))))))))))))), 2'(0(2(0(0(0(0(3(2(0(2(0(z0)))))))))))), 0'(2(0(0(0(0(3(2(0(2(0(z0))))))))))), 2'(0(0(0(0(3(2(0(2(0(z0)))))))))), 0'(0(0(0(3(2(0(2(0(z0))))))))), 0'(0(0(3(2(0(2(0(z0)))))))), 0'(0(3(2(0(2(0(z0))))))), 0'(3(2(0(2(0(z0)))))), 3'(2(0(2(0(z0))))), 2'(0(2(0(z0)))), 0'(2(0(z0))), 2'(0(z0)), 0'(z0))
   0'(c_0(c_2(c_0(c_0(c_0(c_1(c_1(c_0(c_2(c_2(c_3(c_3(c_0(c_0(c_3(c_0(c_2(z0)))))))))))))))))) -> c13(0'(2(0(0(3(1(1(2(3(0(2(0(0(3(0(0(0(2(z0)))))))))))))))))), 2'(0(0(3(1(1(2(3(0(2(0(0(3(0(0(0(2(z0))))))))))))))))), 0'(0(3(1(1(2(3(0(2(0(0(3(0(0(0(2(z0)))))))))))))))), 0'(3(1(1(2(3(0(2(0(0(3(0(0(0(2(z0))))))))))))))), 3'(1(1(2(3(0(2(0(0(3(0(0(0(2(z0)))))))))))))), 1'(1(2(3(0(2(0(0(3(0(0(0(2(z0))))))))))))), 1'(2(3(0(2(0(0(3(0(0(0(2(z0)))))))))))), 2'(3(0(2(0(0(3(0(0(0(2(z0))))))))))), 3'(0(2(0(0(3(0(0(0(2(z0)))))))))), 0'(2(0(0(3(0(0(0(2(z0))))))))), 2'(0(0(3(0(0(0(2(z0)))))))), 0'(0(3(0(0(0(2(z0))))))), 0'(3(0(0(0(2(z0)))))), 3'(0(0(0(2(z0))))), 0'(0(0(2(z0)))), 0'(0(2(z0))), 0'(2(z0)), 2'(z0))
   0'(c_0(c_3(c_2(c_0(c_0(c_1(c_0(c_1(c_3(c_2(c_3(c_2(c_2(c_2(c_0(c_1(c_1(z0)))))))))))))))))) -> c14(2'(0(0(1(3(1(2(1(2(0(3(2(0(0(3(0(1(2(z0)))))))))))))))))), 0'(0(1(3(1(2(1(2(0(3(2(0(0(3(0(1(2(z0))))))))))))))))), 0'(1(3(1(2(1(2(0(3(2(0(0(3(0(1(2(z0)))))))))))))))), 1'(3(1(2(1(2(0(3(2(0(0(3(0(1(2(z0))))))))))))))), 3'(1(2(1(2(0(3(2(0(0(3(0(1(2(z0)))))))))))))), 1'(2(1(2(0(3(2(0(0(3(0(1(2(z0))))))))))))), 2'(1(2(0(3(2(0(0(3(0(1(2(z0)))))))))))), 1'(2(0(3(2(0(0(3(0(1(2(z0))))))))))), 2'(0(3(2(0(0(3(0(1(2(z0)))))))))), 0'(3(2(0(0(3(0(1(2(z0))))))))), 3'(2(0(0(3(0(1(2(z0)))))))), 2'(0(0(3(0(1(2(z0))))))), 0'(0(3(0(1(2(z0)))))), 0'(3(0(1(2(z0))))), 3'(0(1(2(z0)))), 0'(1(2(z0))), 1'(2(z0)), 2'(z0))
   0'(c_2(c_2(c_2(c_2(c_2(c_1(c_3(c_1(c_0(c_1(c_2(c_3(c_2(c_0(c_1(c_1(c_2(z0)))))))))))))))))) -> c15(2'(1(2(1(2(3(2(1(2(1(2(0(0(2(0(1(3(2(z0)))))))))))))))))), 1'(2(1(2(3(2(1(2(1(2(0(0(2(0(1(3(2(z0))))))))))))))))), 2'(1(2(3(2(1(2(1(2(0(0(2(0(1(3(2(z0)))))))))))))))), 1'(2(3(2(1(2(1(2(0(0(2(0(1(3(2(z0))))))))))))))), 2'(3(2(1(2(1(2(0(0(2(0(1(3(2(z0)))))))))))))), 3'(2(1(2(1(2(0(0(2(0(1(3(2(z0))))))))))))), 2'(1(2(1(2(0(0(2(0(1(3(2(z0)))))))))))), 1'(2(1(2(0(0(2(0(1(3(2(z0))))))))))), 2'(1(2(0(0(2(0(1(3(2(z0)))))))))), 1'(2(0(0(2(0(1(3(2(z0))))))))), 2'(0(0(2(0(1(3(2(z0)))))))), 0'(0(2(0(1(3(2(z0))))))), 0'(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))
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   0'(c_3(c_0(c_1(c_3(c_1(c_3(c_2(c_0(c_1(c_0(c_1(c_0(c_0(c_3(c_1(c_1(c_3(z0)))))))))))))))))) -> c30(0'(3(2(0(3(1(3(1(1(0(3(0(0(1(0(1(1(3(z0)))))))))))))))))), 3'(2(0(3(1(3(1(1(0(3(0(0(1(0(1(1(3(z0))))))))))))))))), 2'(0(3(1(3(1(1(0(3(0(0(1(0(1(1(3(z0)))))))))))))))), 0'(3(1(3(1(1(0(3(0(0(1(0(1(1(3(z0))))))))))))))), 3'(1(3(1(1(0(3(0(0(1(0(1(1(3(z0)))))))))))))), 1'(3(1(1(0(3(0(0(1(0(1(1(3(z0))))))))))))), 3'(1(1(0(3(0(0(1(0(1(1(3(z0)))))))))))), 1'(1(0(3(0(0(1(0(1(1(3(z0))))))))))), 1'(0(3(0(0(1(0(1(1(3(z0)))))))))), 0'(3(0(0(1(0(1(1(3(z0))))))))), 3'(0(0(1(0(1(1(3(z0)))))))), 0'(0(1(0(1(1(3(z0))))))), 0'(1(0(1(1(3(z0)))))), 1'(0(1(1(3(z0))))), 0'(1(1(3(z0)))), 1'(1(3(z0))), 1'(3(z0)), 3'(z0))
   0'(c_0(c_3(c_3(c_1(c_3(c_3(c_0(c_1(c_3(c_2(c_3(c_3(c_3(c_0(c_3(c_3(c_3(z0)))))))))))))))))) -> c31(0'(3(0(3(3(1(3(0(3(3(3(1(3(0(3(2(3(3(z0)))))))))))))))))), 3'(0(3(3(1(3(0(3(3(3(1(3(0(3(2(3(3(z0))))))))))))))))), 0'(3(3(1(3(0(3(3(3(1(3(0(3(2(3(3(z0)))))))))))))))), 3'(3(1(3(0(3(3(3(1(3(0(3(2(3(3(z0))))))))))))))), 3'(1(3(0(3(3(3(1(3(0(3(2(3(3(z0)))))))))))))), 1'(3(0(3(3(3(1(3(0(3(2(3(3(z0))))))))))))), 3'(0(3(3(3(1(3(0(3(2(3(3(z0)))))))))))), 0'(3(3(3(1(3(0(3(2(3(3(z0))))))))))), 3'(3(3(1(3(0(3(2(3(3(z0)))))))))), 3'(3(1(3(0(3(2(3(3(z0))))))))), 3'(1(3(0(3(2(3(3(z0)))))))), 1'(3(0(3(2(3(3(z0))))))), 3'(0(3(2(3(3(z0)))))), 0'(3(2(3(3(z0))))), 3'(2(3(3(z0)))), 2'(3(3(z0))), 3'(3(z0)), 3'(z0))
   0'(c_0(c_2(c_0(c_1(c_1(c_2(c_0(c_1(c_0(c_1(c_0(c_1(c_0(c_2(c_3(c_2(c_0(z0)))))))))))))))))) -> c32(0'(0(0(2(2(2(0(3(0(1(1(1(1(1(0(0(2(0(z0)))))))))))))))))), 0'(0(2(2(2(0(3(0(1(1(1(1(1(0(0(2(0(z0))))))))))))))))), 0'(2(2(2(0(3(0(1(1(1(1(1(0(0(2(0(z0)))))))))))))))), 2'(2(2(0(3(0(1(1(1(1(1(0(0(2(0(z0))))))))))))))), 2'(2(0(3(0(1(1(1(1(1(0(0(2(0(z0)))))))))))))), 2'(0(3(0(1(1(1(1(1(0(0(2(0(z0))))))))))))), 0'(3(0(1(1(1(1(1(0(0(2(0(z0)))))))))))), 3'(0(1(1(1(1(1(0(0(2(0(z0))))))))))), 0'(1(1(1(1(1(0(0(2(0(z0)))))))))), 1'(1(1(1(1(0(0(2(0(z0))))))))), 1'(1(1(1(0(0(2(0(z0)))))))), 1'(1(1(0(0(2(0(z0))))))), 1'(1(0(0(2(0(z0)))))), 1'(0(0(2(0(z0))))), 0'(0(2(0(z0)))), 0'(2(0(z0))), 2'(0(z0)), 0'(z0))
   0'(c_0(c_3(c_1(c_0(c_0(c_2(c_2(c_0(c_0(c_0(c_2(c_2(c_3(c_2(c_2(c_2(c_0(z0)))))))))))))))))) -> c33(0'(0(2(0(2(0(0(2(2(0(2(3(1(3(0(2(2(0(z0)))))))))))))))))), 0'(2(0(2(0(0(2(2(0(2(3(1(3(0(2(2(0(z0))))))))))))))))), 2'(0(2(0(0(2(2(0(2(3(1(3(0(2(2(0(z0)))))))))))))))), 0'(2(0(0(2(2(0(2(3(1(3(0(2(2(0(z0))))))))))))))), 2'(0(0(2(2(0(2(3(1(3(0(2(2(0(z0)))))))))))))), 0'(0(2(2(0(2(3(1(3(0(2(2(0(z0))))))))))))), 0'(2(2(0(2(3(1(3(0(2(2(0(z0)))))))))))), 2'(2(0(2(3(1(3(0(2(2(0(z0))))))))))), 2'(0(2(3(1(3(0(2(2(0(z0)))))))))), 0'(2(3(1(3(0(2(2(0(z0))))))))), 2'(3(1(3(0(2(2(0(z0)))))))), 3'(1(3(0(2(2(0(z0))))))), 1'(3(0(2(2(0(z0)))))), 3'(0(2(2(0(z0))))), 0'(2(2(0(z0)))), 2'(2(0(z0))), 2'(0(z0)), 0'(z0))
   1'(z0) -> c34
   1'(c_0(c_0(c_0(c_3(c_0(c_2(c_3(c_1(c_2(c_3(c_1(c_1(c_2(c_2(c_2(c_2(c_3(z0)))))))))))))))))) -> c35(1'(3(0(2(1(2(0(1(2(0(0(2(2(1(3(3(2(3(z0)))))))))))))))))), 3'(0(2(1(2(0(1(2(0(0(2(2(1(3(3(2(3(z0))))))))))))))))), 0'(2(1(2(0(1(2(0(0(2(2(1(3(3(2(3(z0)))))))))))))))), 2'(1(2(0(1(2(0(0(2(2(1(3(3(2(3(z0))))))))))))))), 1'(2(0(1(2(0(0(2(2(1(3(3(2(3(z0)))))))))))))), 2'(0(1(2(0(0(2(2(1(3(3(2(3(z0))))))))))))), 0'(1(2(0(0(2(2(1(3(3(2(3(z0)))))))))))), 1'(2(0(0(2(2(1(3(3(2(3(z0))))))))))), 2'(0(0(2(2(1(3(3(2(3(z0)))))))))), 0'(0(2(2(1(3(3(2(3(z0))))))))), 0'(2(2(1(3(3(2(3(z0)))))))), 2'(2(1(3(3(2(3(z0))))))), 2'(1(3(3(2(3(z0)))))), 1'(3(3(2(3(z0))))), 3'(3(2(3(z0)))), 3'(2(3(z0))), 2'(3(z0)), 3'(z0))
   1'(c_3(c_1(c_3(c_2(c_2(c_0(c_0(c_0(c_0(c_1(c_3(c_2(c_0(c_1(c_3(c_3(c_0(z0)))))))))))))))))) -> c36(1'(2(0(0(0(0(0(3(1(3(3(3(2(1(2(3(1(0(z0)))))))))))))))))), 2'(0(0(0(0(0(3(1(3(3(3(2(1(2(3(1(0(z0))))))))))))))))), 0'(0(0(0(0(3(1(3(3(3(2(1(2(3(1(0(z0)))))))))))))))), 0'(0(0(0(3(1(3(3(3(2(1(2(3(1(0(z0))))))))))))))), 0'(0(0(3(1(3(3(3(2(1(2(3(1(0(z0)))))))))))))), 0'(0(3(1(3(3(3(2(1(2(3(1(0(z0))))))))))))), 0'(3(1(3(3(3(2(1(2(3(1(0(z0)))))))))))), 3'(1(3(3(3(2(1(2(3(1(0(z0))))))))))), 1'(3(3(3(2(1(2(3(1(0(z0)))))))))), 3'(3(3(2(1(2(3(1(0(z0))))))))), 3'(3(2(1(2(3(1(0(z0)))))))), 3'(2(1(2(3(1(0(z0))))))), 2'(1(2(3(1(0(z0)))))), 1'(2(3(1(0(z0))))), 2'(3(1(0(z0)))), 3'(1(0(z0))), 1'(0(z0)), 0'(z0))
   1'(c_1(c_2(c_0(c_2(c_2(c_1(c_2(c_3(c_2(c_3(c_1(c_0(c_0(c_1(c_3(c_0(c_2(z0)))))))))))))))))) -> c37(1'(2(2(1(1(2(0(3(1(0(3(1(0(2(2(3(0(2(z0)))))))))))))))))), 2'(2(1(1(2(0(3(1(0(3(1(0(2(2(3(0(2(z0))))))))))))))))), 2'(1(1(2(0(3(1(0(3(1(0(2(2(3(0(2(z0)))))))))))))))), 1'(1(2(0(3(1(0(3(1(0(2(2(3(0(2(z0))))))))))))))), 1'(2(0(3(1(0(3(1(0(2(2(3(0(2(z0)))))))))))))), 2'(0(3(1(0(3(1(0(2(2(3(0(2(z0))))))))))))), 0'(3(1(0(3(1(0(2(2(3(0(2(z0)))))))))))), 3'(1(0(3(1(0(2(2(3(0(2(z0))))))))))), 1'(0(3(1(0(2(2(3(0(2(z0)))))))))), 0'(3(1(0(2(2(3(0(2(z0))))))))), 3'(1(0(2(2(3(0(2(z0)))))))), 1'(0(2(2(3(0(2(z0))))))), 0'(2(2(3(0(2(z0)))))), 2'(2(3(0(2(z0))))), 2'(3(0(2(z0)))), 3'(0(2(z0))), 0'(2(z0)), 2'(z0))
   1'(c_0(c_3(c_2(c_3(c_2(c_2(c_0(c_3(c_2(c_2(c_1(c_1(c_0(c_3(c_2(c_3(c_3(z0)))))))))))))))))) -> c38(1'(2(3(0(2(2(3(0(2(3(2(1(3(1(2(0(3(3(z0)))))))))))))))))), 2'(3(0(2(2(3(0(2(3(2(1(3(1(2(0(3(3(z0))))))))))))))))), 3'(0(2(2(3(0(2(3(2(1(3(1(2(0(3(3(z0)))))))))))))))), 0'(2(2(3(0(2(3(2(1(3(1(2(0(3(3(z0))))))))))))))), 2'(2(3(0(2(3(2(1(3(1(2(0(3(3(z0)))))))))))))), 2'(3(0(2(3(2(1(3(1(2(0(3(3(z0))))))))))))), 3'(0(2(3(2(1(3(1(2(0(3(3(z0)))))))))))), 0'(2(3(2(1(3(1(2(0(3(3(z0))))))))))), 2'(3(2(1(3(1(2(0(3(3(z0)))))))))), 3'(2(1(3(1(2(0(3(3(z0))))))))), 2'(1(3(1(2(0(3(3(z0)))))))), 1'(3(1(2(0(3(3(z0))))))), 3'(1(2(0(3(3(z0)))))), 1'(2(0(3(3(z0))))), 2'(0(3(3(z0)))), 0'(3(3(z0))), 3'(3(z0)), 3'(z0))
   1'(c_1(c_0(c_1(c_1(c_3(c_2(c_0(c_2(c_1(c_2(c_2(c_1(c_2(c_3(c_1(c_1(c_1(z0)))))))))))))))))) -> c39(1'(1(0(3(2(3(1(2(1(2(0(2(2(1(1(1(1(1(z0)))))))))))))))))), 1'(0(3(2(3(1(2(1(2(0(2(2(1(1(1(1(1(z0))))))))))))))))), 0'(3(2(3(1(2(1(2(0(2(2(1(1(1(1(1(z0)))))))))))))))), 3'(2(3(1(2(1(2(0(2(2(1(1(1(1(1(z0))))))))))))))), 2'(3(1(2(1(2(0(2(2(1(1(1(1(1(z0)))))))))))))), 3'(1(2(1(2(0(2(2(1(1(1(1(1(z0))))))))))))), 1'(2(1(2(0(2(2(1(1(1(1(1(z0)))))))))))), 2'(1(2(0(2(2(1(1(1(1(1(z0))))))))))), 1'(2(0(2(2(1(1(1(1(1(z0)))))))))), 2'(0(2(2(1(1(1(1(1(z0))))))))), 0'(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))
   1'(c_3(c_2(c_3(c_0(c_3(c_3(c_3(c_1(c_3(c_3(c_1(c_3(c_3(c_3(c_2(c_2(c_0(z0)))))))))))))))))) -> c40(1'(3(3(3(1(1(0(2(3(3(3(3(3(2(0(3(2(3(z0)))))))))))))))))), 3'(3(3(1(1(0(2(3(3(3(3(3(2(0(3(2(3(z0))))))))))))))))), 3'(3(1(1(0(2(3(3(3(3(3(2(0(3(2(3(z0)))))))))))))))), 3'(1(1(0(2(3(3(3(3(3(2(0(3(2(3(z0))))))))))))))), 1'(1(0(2(3(3(3(3(3(2(0(3(2(3(z0)))))))))))))), 1'(0(2(3(3(3(3(3(2(0(3(2(3(z0))))))))))))), 0'(2(3(3(3(3(3(2(0(3(2(3(z0)))))))))))), 2'(3(3(3(3(3(2(0(3(2(3(z0))))))))))), 3'(3(3(3(3(2(0(3(2(3(z0)))))))))), 3'(3(3(3(2(0(3(2(3(z0))))))))), 3'(3(3(2(0(3(2(3(z0)))))))), 3'(3(2(0(3(2(3(z0))))))), 3'(2(0(3(2(3(z0)))))), 2'(0(3(2(3(z0))))), 0'(3(2(3(z0)))), 3'(2(3(z0))), 2'(3(z0)), 3'(z0))
   1'(c_3(c_3(c_1(c_1(c_3(c_0(c_2(c_0(c_1(c_3(c_1(c_3(c_0(c_3(c_2(c_2(c_1(z0)))))))))))))))))) -> c41(1'(3(3(3(0(1(1(2(0(3(1(1(2(3(3(0(2(1(z0)))))))))))))))))), 3'(3(3(0(1(1(2(0(3(1(1(2(3(3(0(2(1(z0))))))))))))))))), 3'(3(0(1(1(2(0(3(1(1(2(3(3(0(2(1(z0)))))))))))))))), 3'(0(1(1(2(0(3(1(1(2(3(3(0(2(1(z0))))))))))))))), 0'(1(1(2(0(3(1(1(2(3(3(0(2(1(z0)))))))))))))), 1'(1(2(0(3(1(1(2(3(3(0(2(1(z0))))))))))))), 1'(2(0(3(1(1(2(3(3(0(2(1(z0)))))))))))), 2'(0(3(1(1(2(3(3(0(2(1(z0))))))))))), 0'(3(1(1(2(3(3(0(2(1(z0)))))))))), 3'(1(1(2(3(3(0(2(1(z0))))))))), 1'(1(2(3(3(0(2(1(z0)))))))), 1'(2(3(3(0(2(1(z0))))))), 2'(3(3(0(2(1(z0)))))), 3'(3(0(2(1(z0))))), 3'(0(2(1(z0)))), 0'(2(1(z0))), 2'(1(z0)), 1'(z0))
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   1'(c_0(c_1(c_1(c_3(c_2(c_1(c_1(c_0(c_0(c_0(c_1(c_3(c_0(c_0(c_0(c_1(c_0(z0)))))))))))))))))) -> c45(1'(3(1(1(1(0(1(3(0(0(0(0(1(1(0(0(2(0(z0)))))))))))))))))), 3'(1(1(1(0(1(3(0(0(0(0(1(1(0(0(2(0(z0))))))))))))))))), 1'(1(1(0(1(3(0(0(0(0(1(1(0(0(2(0(z0)))))))))))))))), 1'(1(0(1(3(0(0(0(0(1(1(0(0(2(0(z0))))))))))))))), 1'(0(1(3(0(0(0(0(1(1(0(0(2(0(z0)))))))))))))), 0'(1(3(0(0(0(0(1(1(0(0(2(0(z0))))))))))))), 1'(3(0(0(0(0(1(1(0(0(2(0(z0)))))))))))), 3'(0(0(0(0(1(1(0(0(2(0(z0))))))))))), 0'(0(0(0(1(1(0(0(2(0(z0)))))))))), 0'(0(0(1(1(0(0(2(0(z0))))))))), 0'(0(1(1(0(0(2(0(z0)))))))), 0'(1(1(0(0(2(0(z0))))))), 1'(1(0(0(2(0(z0)))))), 1'(0(0(2(0(z0))))), 0'(0(2(0(z0)))), 0'(2(0(z0))), 2'(0(z0)), 0'(z0))
   1'(c_0(c_2(c_3(c_0(c_1(c_0(c_2(c_0(c_1(c_0(c_3(c_1(c_2(c_2(c_2(c_3(c_1(z0)))))))))))))))))) -> c46(1'(0(3(0(0(0(2(2(3(3(1(2(0(1(2(1(2(1(z0)))))))))))))))))), 0'(3(0(0(0(2(2(3(3(1(2(0(1(2(1(2(1(z0))))))))))))))))), 3'(0(0(0(2(2(3(3(1(2(0(1(2(1(2(1(z0)))))))))))))))), 0'(0(0(2(2(3(3(1(2(0(1(2(1(2(1(z0))))))))))))))), 0'(0(2(2(3(3(1(2(0(1(2(1(2(1(z0)))))))))))))), 0'(2(2(3(3(1(2(0(1(2(1(2(1(z0))))))))))))), 2'(2(3(3(1(2(0(1(2(1(2(1(z0)))))))))))), 2'(3(3(1(2(0(1(2(1(2(1(z0))))))))))), 3'(3(1(2(0(1(2(1(2(1(z0)))))))))), 3'(1(2(0(1(2(1(2(1(z0))))))))), 1'(2(0(1(2(1(2(1(z0)))))))), 2'(0(1(2(1(2(1(z0))))))), 0'(1(2(1(2(1(z0)))))), 1'(2(1(2(1(z0))))), 2'(1(2(1(z0)))), 1'(2(1(z0))), 2'(1(z0)), 1'(z0))
   1'(c_2(c_2(c_1(c_2(c_2(c_1(c_0(c_1(c_2(c_1(c_1(c_0(c_2(c_3(c_2(c_2(c_0(z0)))))))))))))))))) -> c47(1'(2(1(2(2(1(2(1(0(1(2(2(0(2(3(1(2(0(z0)))))))))))))))))), 2'(1(2(2(1(2(1(0(1(2(2(0(2(3(1(2(0(z0))))))))))))))))), 1'(2(2(1(2(1(0(1(2(2(0(2(3(1(2(0(z0)))))))))))))))), 2'(2(1(2(1(0(1(2(2(0(2(3(1(2(0(z0))))))))))))))), 2'(1(2(1(0(1(2(2(0(2(3(1(2(0(z0)))))))))))))), 1'(2(1(0(1(2(2(0(2(3(1(2(0(z0))))))))))))), 2'(1(0(1(2(2(0(2(3(1(2(0(z0)))))))))))), 1'(0(1(2(2(0(2(3(1(2(0(z0))))))))))), 0'(1(2(2(0(2(3(1(2(0(z0)))))))))), 1'(2(2(0(2(3(1(2(0(z0))))))))), 2'(2(0(2(3(1(2(0(z0)))))))), 2'(0(2(3(1(2(0(z0))))))), 0'(2(3(1(2(0(z0)))))), 2'(3(1(2(0(z0))))), 3'(1(2(0(z0)))), 1'(2(0(z0))), 2'(0(z0)), 0'(z0))
   1'(c_1(c_1(c_0(c_1(c_1(c_3(c_2(c_3(c_0(c_0(c_3(c_3(c_3(c_2(c_2(c_2(c_1(z0)))))))))))))))))) -> c48(1'(0(3(0(0(3(3(1(2(3(1(2(1(1(2(3(1(2(z0)))))))))))))))))), 0'(3(0(0(3(3(1(2(3(1(2(1(1(2(3(1(2(z0))))))))))))))))), 3'(0(0(3(3(1(2(3(1(2(1(1(2(3(1(2(z0)))))))))))))))), 0'(0(3(3(1(2(3(1(2(1(1(2(3(1(2(z0))))))))))))))), 0'(3(3(1(2(3(1(2(1(1(2(3(1(2(z0)))))))))))))), 3'(3(1(2(3(1(2(1(1(2(3(1(2(z0))))))))))))), 3'(1(2(3(1(2(1(1(2(3(1(2(z0)))))))))))), 1'(2(3(1(2(1(1(2(3(1(2(z0))))))))))), 2'(3(1(2(1(1(2(3(1(2(z0)))))))))), 3'(1(2(1(1(2(3(1(2(z0))))))))), 1'(2(1(1(2(3(1(2(z0)))))))), 2'(1(1(2(3(1(2(z0))))))), 1'(1(2(3(1(2(z0)))))), 1'(2(3(1(2(z0))))), 2'(3(1(2(z0)))), 3'(1(2(z0))), 1'(2(z0)), 2'(z0))
   1'(c_1(c_3(c_3(c_2(c_1(c_1(c_1(c_3(c_3(c_1(c_1(c_0(c_2(c_0(c_2(c_1(c_2(z0)))))))))))))))))) -> c49(1'(1(2(3(1(3(0(1(1(1(2(3(0(2(3(1(1(2(z0)))))))))))))))))), 1'(2(3(1(3(0(1(1(1(2(3(0(2(3(1(1(2(z0))))))))))))))))), 2'(3(1(3(0(1(1(1(2(3(0(2(3(1(1(2(z0)))))))))))))))), 3'(1(3(0(1(1(1(2(3(0(2(3(1(1(2(z0))))))))))))))), 1'(3(0(1(1(1(2(3(0(2(3(1(1(2(z0)))))))))))))), 3'(0(1(1(1(2(3(0(2(3(1(1(2(z0))))))))))))), 0'(1(1(1(2(3(0(2(3(1(1(2(z0)))))))))))), 1'(1(1(2(3(0(2(3(1(1(2(z0))))))))))), 1'(1(2(3(0(2(3(1(1(2(z0)))))))))), 1'(2(3(0(2(3(1(1(2(z0))))))))), 2'(3(0(2(3(1(1(2(z0)))))))), 3'(0(2(3(1(1(2(z0))))))), 0'(2(3(1(1(2(z0)))))), 2'(3(1(1(2(z0))))), 3'(1(1(2(z0)))), 1'(1(2(z0))), 1'(2(z0)), 2'(z0))
   1'(c_0(c_3(c_0(c_2(c_0(c_3(c_0(c_1(c_1(c_2(c_3(c_0(c_1(c_3(c_2(c_0(c_3(z0)))))))))))))))))) -> c50(1'(0(2(1(0(1(0(2(0(3(3(3(1(2(0(0(3(3(z0)))))))))))))))))), 0'(2(1(0(1(0(2(0(3(3(3(1(2(0(0(3(3(z0))))))))))))))))), 2'(1(0(1(0(2(0(3(3(3(1(2(0(0(3(3(z0)))))))))))))))), 1'(0(1(0(2(0(3(3(3(1(2(0(0(3(3(z0))))))))))))))), 0'(1(0(2(0(3(3(3(1(2(0(0(3(3(z0)))))))))))))), 1'(0(2(0(3(3(3(1(2(0(0(3(3(z0))))))))))))), 0'(2(0(3(3(3(1(2(0(0(3(3(z0)))))))))))), 2'(0(3(3(3(1(2(0(0(3(3(z0))))))))))), 0'(3(3(3(1(2(0(0(3(3(z0)))))))))), 3'(3(3(1(2(0(0(3(3(z0))))))))), 3'(3(1(2(0(0(3(3(z0)))))))), 3'(1(2(0(0(3(3(z0))))))), 1'(2(0(0(3(3(z0)))))), 2'(0(0(3(3(z0))))), 0'(0(3(3(z0)))), 0'(3(3(z0))), 3'(3(z0)), 3'(z0))
   1'(c_1(c_1(c_0(c_1(c_1(c_2(c_2(c_2(c_1(c_0(c_1(c_1(c_1(c_3(c_3(c_0(c_3(z0)))))))))))))))))) -> c51(1'(2(0(3(1(1(1(0(1(2(1(2(1(1(1(3(0(3(z0)))))))))))))))))), 2'(0(3(1(1(1(0(1(2(1(2(1(1(1(3(0(3(z0))))))))))))))))), 0'(3(1(1(1(0(1(2(1(2(1(1(1(3(0(3(z0)))))))))))))))), 3'(1(1(1(0(1(2(1(2(1(1(1(3(0(3(z0))))))))))))))), 1'(1(1(0(1(2(1(2(1(1(1(3(0(3(z0)))))))))))))), 1'(1(0(1(2(1(2(1(1(1(3(0(3(z0))))))))))))), 1'(0(1(2(1(2(1(1(1(3(0(3(z0)))))))))))), 0'(1(2(1(2(1(1(1(3(0(3(z0))))))))))), 1'(2(1(2(1(1(1(3(0(3(z0)))))))))), 2'(1(2(1(1(1(3(0(3(z0))))))))), 1'(2(1(1(1(3(0(3(z0)))))))), 2'(1(1(1(3(0(3(z0))))))), 1'(1(1(3(0(3(z0)))))), 1'(1(3(0(3(z0))))), 1'(3(0(3(z0)))), 3'(0(3(z0))), 0'(3(z0)), 3'(z0))
   1'(c_0(c_1(c_3(c_2(c_0(c_2(c_1(c_3(c_3(c_2(c_1(c_3(c_2(c_2(c_0(c_1(c_2(z0)))))))))))))))))) -> c52(1'(3(1(2(1(3(3(1(0(0(0(2(1(3(2(2(2(2(z0)))))))))))))))))), 3'(1(2(1(3(3(1(0(0(0(2(1(3(2(2(2(2(z0))))))))))))))))), 1'(2(1(3(3(1(0(0(0(2(1(3(2(2(2(2(z0)))))))))))))))), 2'(1(3(3(1(0(0(0(2(1(3(2(2(2(2(z0))))))))))))))), 1'(3(3(1(0(0(0(2(1(3(2(2(2(2(z0)))))))))))))), 3'(3(1(0(0(0(2(1(3(2(2(2(2(z0))))))))))))), 3'(1(0(0(0(2(1(3(2(2(2(2(z0)))))))))))), 1'(0(0(0(2(1(3(2(2(2(2(z0))))))))))), 0'(0(0(2(1(3(2(2(2(2(z0)))))))))), 0'(0(2(1(3(2(2(2(2(z0))))))))), 0'(2(1(3(2(2(2(2(z0)))))))), 2'(1(3(2(2(2(2(z0))))))), 1'(3(2(2(2(2(z0)))))), 3'(2(2(2(2(z0))))), 2'(2(2(2(z0)))), 2'(2(2(z0))), 2'(2(z0)), 2'(z0))
   1'(c_1(c_3(c_3(c_1(c_0(c_2(c_3(c_2(c_1(c_3(c_2(c_0(c_1(c_1(c_1(c_1(c_1(z0)))))))))))))))))) -> c53(1'(3(1(1(1(1(1(2(1(1(3(0(3(3(0(2(2(1(z0)))))))))))))))))), 3'(1(1(1(1(1(2(1(1(3(0(3(3(0(2(2(1(z0))))))))))))))))), 1'(1(1(1(1(2(1(1(3(0(3(3(0(2(2(1(z0)))))))))))))))), 1'(1(1(1(2(1(1(3(0(3(3(0(2(2(1(z0))))))))))))))), 1'(1(1(2(1(1(3(0(3(3(0(2(2(1(z0)))))))))))))), 1'(1(2(1(1(3(0(3(3(0(2(2(1(z0))))))))))))), 1'(2(1(1(3(0(3(3(0(2(2(1(z0)))))))))))), 2'(1(1(3(0(3(3(0(2(2(1(z0))))))))))), 1'(1(3(0(3(3(0(2(2(1(z0)))))))))), 1'(3(0(3(3(0(2(2(1(z0))))))))), 3'(0(3(3(0(2(2(1(z0)))))))), 0'(3(3(0(2(2(1(z0))))))), 3'(3(0(2(2(1(z0)))))), 3'(0(2(2(1(z0))))), 0'(2(2(1(z0)))), 2'(2(1(z0))), 2'(1(z0)), 1'(z0))
   1'(c_3(c_0(c_1(c_3(c_2(c_2(c_2(c_2(c_1(c_0(c_0(c_1(c_2(c_2(c_0(c_0(c_1(z0)))))))))))))))))) -> c54(1'(2(2(1(1(2(1(2(0(0(3(1(2(0(0(0(3(2(z0)))))))))))))))))), 2'(2(1(1(2(1(2(0(0(3(1(2(0(0(0(3(2(z0))))))))))))))))), 2'(1(1(2(1(2(0(0(3(1(2(0(0(0(3(2(z0)))))))))))))))), 1'(1(2(1(2(0(0(3(1(2(0(0(0(3(2(z0))))))))))))))), 1'(2(1(2(0(0(3(1(2(0(0(0(3(2(z0)))))))))))))), 2'(1(2(0(0(3(1(2(0(0(0(3(2(z0))))))))))))), 1'(2(0(0(3(1(2(0(0(0(3(2(z0)))))))))))), 2'(0(0(3(1(2(0(0(0(3(2(z0))))))))))), 0'(0(3(1(2(0(0(0(3(2(z0)))))))))), 0'(3(1(2(0(0(0(3(2(z0))))))))), 3'(1(2(0(0(0(3(2(z0)))))))), 1'(2(0(0(0(3(2(z0))))))), 2'(0(0(0(3(2(z0)))))), 0'(0(0(3(2(z0))))), 0'(0(3(2(z0)))), 0'(3(2(z0))), 3'(2(z0)), 2'(z0))
   1'(c_3(c_1(c_2(c_2(c_2(c_1(c_3(c_3(c_0(c_1(c_1(c_0(c_0(c_2(c_2(c_3(c_2(z0)))))))))))))))))) -> c55(1'(2(2(3(0(2(3(0(3(2(3(1(1(0(1(2(1(2(z0)))))))))))))))))), 2'(2(3(0(2(3(0(3(2(3(1(1(0(1(2(1(2(z0))))))))))))))))), 2'(3(0(2(3(0(3(2(3(1(1(0(1(2(1(2(z0)))))))))))))))), 3'(0(2(3(0(3(2(3(1(1(0(1(2(1(2(z0))))))))))))))), 0'(2(3(0(3(2(3(1(1(0(1(2(1(2(z0)))))))))))))), 2'(3(0(3(2(3(1(1(0(1(2(1(2(z0))))))))))))), 3'(0(3(2(3(1(1(0(1(2(1(2(z0)))))))))))), 0'(3(2(3(1(1(0(1(2(1(2(z0))))))))))), 3'(2(3(1(1(0(1(2(1(2(z0)))))))))), 2'(3(1(1(0(1(2(1(2(z0))))))))), 3'(1(1(0(1(2(1(2(z0)))))))), 1'(1(0(1(2(1(2(z0))))))), 1'(0(1(2(1(2(z0)))))), 0'(1(2(1(2(z0))))), 1'(2(1(2(z0)))), 2'(1(2(z0))), 1'(2(z0)), 2'(z0))
   2'(z0) -> c56
   2'(c_0(c_2(c_2(c_3(c_2(c_0(c_2(c_0(c_1(c_1(c_3(c_1(c_3(c_3(c_3(c_2(c_0(z0)))))))))))))))))) -> c57(2'(3(1(2(1(2(0(2(2(1(0(0(3(3(2(0(3(3(z0)))))))))))))))))), 3'(1(2(1(2(0(2(2(1(0(0(3(3(2(0(3(3(z0))))))))))))))))), 1'(2(1(2(0(2(2(1(0(0(3(3(2(0(3(3(z0)))))))))))))))), 2'(1(2(0(2(2(1(0(0(3(3(2(0(3(3(z0))))))))))))))), 1'(2(0(2(2(1(0(0(3(3(2(0(3(3(z0)))))))))))))), 2'(0(2(2(1(0(0(3(3(2(0(3(3(z0))))))))))))), 0'(2(2(1(0(0(3(3(2(0(3(3(z0)))))))))))), 2'(2(1(0(0(3(3(2(0(3(3(z0))))))))))), 2'(1(0(0(3(3(2(0(3(3(z0)))))))))), 1'(0(0(3(3(2(0(3(3(z0))))))))), 0'(0(3(3(2(0(3(3(z0)))))))), 0'(3(3(2(0(3(3(z0))))))), 3'(3(2(0(3(3(z0)))))), 3'(2(0(3(3(z0))))), 2'(0(3(3(z0)))), 0'(3(3(z0))), 3'(3(z0)), 3'(z0))
   2'(c_1(c_0(c_0(c_2(c_2(c_2(c_0(c_1(c_3(c_1(c_3(c_2(c_3(c_2(c_1(c_1(c_2(z0)))))))))))))))))) -> c58(2'(2(0(0(3(0(2(2(1(2(3(1(2(3(1(1(1(2(z0)))))))))))))))))), 2'(0(0(3(0(2(2(1(2(3(1(2(3(1(1(1(2(z0))))))))))))))))), 0'(0(3(0(2(2(1(2(3(1(2(3(1(1(1(2(z0)))))))))))))))), 0'(3(0(2(2(1(2(3(1(2(3(1(1(1(2(z0))))))))))))))), 3'(0(2(2(1(2(3(1(2(3(1(1(1(2(z0)))))))))))))), 0'(2(2(1(2(3(1(2(3(1(1(1(2(z0))))))))))))), 2'(2(1(2(3(1(2(3(1(1(1(2(z0)))))))))))), 2'(1(2(3(1(2(3(1(1(1(2(z0))))))))))), 1'(2(3(1(2(3(1(1(1(2(z0)))))))))), 2'(3(1(2(3(1(1(1(2(z0))))))))), 3'(1(2(3(1(1(1(2(z0)))))))), 1'(2(3(1(1(1(2(z0))))))), 2'(3(1(1(1(2(z0)))))), 3'(1(1(1(2(z0))))), 1'(1(1(2(z0)))), 1'(1(2(z0))), 1'(2(z0)), 2'(z0))
   2'(c_0(c_2(c_0(c_0(c_1(c_1(c_1(c_3(c_1(c_1(c_3(c_2(c_3(c_1(c_3(c_2(c_3(z0)))))))))))))))))) -> c59(2'(0(1(1(1(0(3(1(2(1(0(1(2(3(3(3(2(3(z0)))))))))))))))))), 0'(1(1(1(0(3(1(2(1(0(1(2(3(3(3(2(3(z0))))))))))))))))), 1'(1(1(0(3(1(2(1(0(1(2(3(3(3(2(3(z0)))))))))))))))), 1'(1(0(3(1(2(1(0(1(2(3(3(3(2(3(z0))))))))))))))), 1'(0(3(1(2(1(0(1(2(3(3(3(2(3(z0)))))))))))))), 0'(3(1(2(1(0(1(2(3(3(3(2(3(z0))))))))))))), 3'(1(2(1(0(1(2(3(3(3(2(3(z0)))))))))))), 1'(2(1(0(1(2(3(3(3(2(3(z0))))))))))), 2'(1(0(1(2(3(3(3(2(3(z0)))))))))), 1'(0(1(2(3(3(3(2(3(z0))))))))), 0'(1(2(3(3(3(2(3(z0)))))))), 1'(2(3(3(3(2(3(z0))))))), 2'(3(3(3(2(3(z0)))))), 3'(3(3(2(3(z0))))), 3'(3(2(3(z0)))), 3'(2(3(z0))), 2'(3(z0)), 3'(z0))
   2'(c_3(c_1(c_0(c_0(c_3(c_1(c_0(c_1(c_3(c_0(c_1(c_2(c_2(c_2(c_2(c_0(c_2(z0)))))))))))))))))) -> c60(2'(0(2(0(0(1(1(2(3(1(1(0(2(3(2(3(0(2(z0)))))))))))))))))), 0'(2(0(0(1(1(2(3(1(1(0(2(3(2(3(0(2(z0))))))))))))))))), 2'(0(0(1(1(2(3(1(1(0(2(3(2(3(0(2(z0)))))))))))))))), 0'(0(1(1(2(3(1(1(0(2(3(2(3(0(2(z0))))))))))))))), 0'(1(1(2(3(1(1(0(2(3(2(3(0(2(z0)))))))))))))), 1'(1(2(3(1(1(0(2(3(2(3(0(2(z0))))))))))))), 1'(2(3(1(1(0(2(3(2(3(0(2(z0)))))))))))), 2'(3(1(1(0(2(3(2(3(0(2(z0))))))))))), 3'(1(1(0(2(3(2(3(0(2(z0)))))))))), 1'(1(0(2(3(2(3(0(2(z0))))))))), 1'(0(2(3(2(3(0(2(z0)))))))), 0'(2(3(2(3(0(2(z0))))))), 2'(3(2(3(0(2(z0)))))), 3'(2(3(0(2(z0))))), 2'(3(0(2(z0)))), 3'(0(2(z0))), 0'(2(z0)), 2'(z0))
   2'(c_1(c_3(c_3(c_2(c_1(c_2(c_3(c_1(c_3(c_3(c_1(c_2(c_1(c_2(c_2(c_0(c_3(z0)))))))))))))))))) -> c61(2'(2(1(1(1(2(2(2(1(2(1(0(3(3(3(3(3(3(z0)))))))))))))))))), 2'(1(1(1(2(2(2(1(2(1(0(3(3(3(3(3(3(z0))))))))))))))))), 1'(1(1(2(2(2(1(2(1(0(3(3(3(3(3(3(z0)))))))))))))))), 1'(1(2(2(2(1(2(1(0(3(3(3(3(3(3(z0))))))))))))))), 1'(2(2(2(1(2(1(0(3(3(3(3(3(3(z0)))))))))))))), 2'(2(2(1(2(1(0(3(3(3(3(3(3(z0))))))))))))), 2'(2(1(2(1(0(3(3(3(3(3(3(z0)))))))))))), 2'(1(2(1(0(3(3(3(3(3(3(z0))))))))))), 1'(2(1(0(3(3(3(3(3(3(z0)))))))))), 2'(1(0(3(3(3(3(3(3(z0))))))))), 1'(0(3(3(3(3(3(3(z0)))))))), 0'(3(3(3(3(3(3(z0))))))), 3'(3(3(3(3(3(z0)))))), 3'(3(3(3(3(z0))))), 3'(3(3(3(z0)))), 3'(3(3(z0))), 3'(3(z0)), 3'(z0))
   2'(c_1(c_0(c_2(c_1(c_0(c_0(c_1(c_1(c_2(c_2(c_2(c_2(c_2(c_2(c_2(c_2(c_1(z0)))))))))))))))))) -> c62(2'(0(0(1(2(2(2(1(2(2(2(0(1(2(1(2(2(1(z0)))))))))))))))))), 0'(0(1(2(2(2(1(2(2(2(0(1(2(1(2(2(1(z0))))))))))))))))), 0'(1(2(2(2(1(2(2(2(0(1(2(1(2(2(1(z0)))))))))))))))), 1'(2(2(2(1(2(2(2(0(1(2(1(2(2(1(z0))))))))))))))), 2'(2(2(1(2(2(2(0(1(2(1(2(2(1(z0)))))))))))))), 2'(2(1(2(2(2(0(1(2(1(2(2(1(z0))))))))))))), 2'(1(2(2(2(0(1(2(1(2(2(1(z0)))))))))))), 1'(2(2(2(0(1(2(1(2(2(1(z0))))))))))), 2'(2(2(0(1(2(1(2(2(1(z0)))))))))), 2'(2(0(1(2(1(2(2(1(z0))))))))), 2'(0(1(2(1(2(2(1(z0)))))))), 0'(1(2(1(2(2(1(z0))))))), 1'(2(1(2(2(1(z0)))))), 2'(1(2(2(1(z0))))), 1'(2(2(1(z0)))), 2'(2(1(z0))), 2'(1(z0)), 1'(z0))
   2'(c_3(c_0(c_1(c_0(c_0(c_3(c_1(c_0(c_3(c_2(c_3(c_2(c_2(c_2(c_3(c_3(c_2(z0)))))))))))))))))) -> c63(2'(3(2(3(0(0(2(2(2(1(1(0(3(2(0(3(3(3(z0)))))))))))))))))), 3'(2(3(0(0(2(2(2(1(1(0(3(2(0(3(3(3(z0))))))))))))))))), 2'(3(0(0(2(2(2(1(1(0(3(2(0(3(3(3(z0)))))))))))))))), 3'(0(0(2(2(2(1(1(0(3(2(0(3(3(3(z0))))))))))))))), 0'(0(2(2(2(1(1(0(3(2(0(3(3(3(z0)))))))))))))), 0'(2(2(2(1(1(0(3(2(0(3(3(3(z0))))))))))))), 2'(2(2(1(1(0(3(2(0(3(3(3(z0)))))))))))), 2'(2(1(1(0(3(2(0(3(3(3(z0))))))))))), 2'(1(1(0(3(2(0(3(3(3(z0)))))))))), 1'(1(0(3(2(0(3(3(3(z0))))))))), 1'(0(3(2(0(3(3(3(z0)))))))), 0'(3(2(0(3(3(3(z0))))))), 3'(2(0(3(3(3(z0)))))), 2'(0(3(3(3(z0))))), 0'(3(3(3(z0)))), 3'(3(3(z0))), 3'(3(z0)), 3'(z0))
   2'(c_2(c_3(c_1(c_0(c_3(c_2(c_2(c_2(c_2(c_3(c_1(c_3(c_3(c_0(c_2(c_3(c_2(z0)))))))))))))))))) -> c64(2'(2(3(0(3(1(2(3(3(3(0(2(1(2(2(3(2(2(z0)))))))))))))))))), 2'(3(0(3(1(2(3(3(3(0(2(1(2(2(3(2(2(z0))))))))))))))))), 3'(0(3(1(2(3(3(3(0(2(1(2(2(3(2(2(z0)))))))))))))))), 0'(3(1(2(3(3(3(0(2(1(2(2(3(2(2(z0))))))))))))))), 3'(1(2(3(3(3(0(2(1(2(2(3(2(2(z0)))))))))))))), 1'(2(3(3(3(0(2(1(2(2(3(2(2(z0))))))))))))), 2'(3(3(3(0(2(1(2(2(3(2(2(z0)))))))))))), 3'(3(3(0(2(1(2(2(3(2(2(z0))))))))))), 3'(3(0(2(1(2(2(3(2(2(z0)))))))))), 3'(0(2(1(2(2(3(2(2(z0))))))))), 0'(2(1(2(2(3(2(2(z0)))))))), 2'(1(2(2(3(2(2(z0))))))), 1'(2(2(3(2(2(z0)))))), 2'(2(3(2(2(z0))))), 2'(3(2(2(z0)))), 3'(2(2(z0))), 2'(2(z0)), 2'(z0))
   2'(c_1(c_1(c_3(c_2(c_0(c_0(c_0(c_2(c_1(c_0(c_2(c_2(c_3(c_2(c_3(c_2(c_0(z0)))))))))))))))))) -> c65(2'(0(0(2(0(2(2(1(2(1(2(3(0(3(2(3(1(0(z0)))))))))))))))))), 0'(0(2(0(2(2(1(2(1(2(3(0(3(2(3(1(0(z0))))))))))))))))), 0'(2(0(2(2(1(2(1(2(3(0(3(2(3(1(0(z0)))))))))))))))), 2'(0(2(2(1(2(1(2(3(0(3(2(3(1(0(z0))))))))))))))), 0'(2(2(1(2(1(2(3(0(3(2(3(1(0(z0)))))))))))))), 2'(2(1(2(1(2(3(0(3(2(3(1(0(z0))))))))))))), 2'(1(2(1(2(3(0(3(2(3(1(0(z0)))))))))))), 1'(2(1(2(3(0(3(2(3(1(0(z0))))))))))), 2'(1(2(3(0(3(2(3(1(0(z0)))))))))), 1'(2(3(0(3(2(3(1(0(z0))))))))), 2'(3(0(3(2(3(1(0(z0)))))))), 3'(0(3(2(3(1(0(z0))))))), 0'(3(2(3(1(0(z0)))))), 3'(2(3(1(0(z0))))), 2'(3(1(0(z0)))), 3'(1(0(z0))), 1'(0(z0)), 0'(z0))
   3'(z0) -> c66
   3'(c_3(c_1(c_2(c_1(c_3(c_2(c_2(c_1(c_2(c_1(c_2(c_2(c_0(c_3(c_2(c_1(c_0(z0)))))))))))))))))) -> c67(3'(0(2(1(2(1(2(2(3(1(2(0(2(1(1(2(3(3(z0)))))))))))))))))), 0'(2(1(2(1(2(2(3(1(2(0(2(1(1(2(3(3(z0))))))))))))))))), 2'(1(2(1(2(2(3(1(2(0(2(1(1(2(3(3(z0)))))))))))))))), 1'(2(1(2(2(3(1(2(0(2(1(1(2(3(3(z0))))))))))))))), 2'(1(2(2(3(1(2(0(2(1(1(2(3(3(z0)))))))))))))), 1'(2(2(3(1(2(0(2(1(1(2(3(3(z0))))))))))))), 2'(2(3(1(2(0(2(1(1(2(3(3(z0)))))))))))), 2'(3(1(2(0(2(1(1(2(3(3(z0))))))))))), 3'(1(2(0(2(1(1(2(3(3(z0)))))))))), 1'(2(0(2(1(1(2(3(3(z0))))))))), 2'(0(2(1(1(2(3(3(z0)))))))), 0'(2(1(1(2(3(3(z0))))))), 2'(1(1(2(3(3(z0)))))), 1'(1(2(3(3(z0))))), 1'(2(3(3(z0)))), 2'(3(3(z0))), 3'(3(z0)), 3'(z0))
   3'(c_3(c_0(c_2(c_0(c_1(c_3(c_1(c_0(c_2(c_2(c_2(c_2(c_0(c_3(c_3(c_1(c_0(z0)))))))))))))))))) -> c68(3'(3(2(0(3(1(0(2(1(2(3(0(1(0(2(3(2(0(z0)))))))))))))))))), 3'(2(0(3(1(0(2(1(2(3(0(1(0(2(3(2(0(z0))))))))))))))))), 2'(0(3(1(0(2(1(2(3(0(1(0(2(3(2(0(z0)))))))))))))))), 0'(3(1(0(2(1(2(3(0(1(0(2(3(2(0(z0))))))))))))))), 3'(1(0(2(1(2(3(0(1(0(2(3(2(0(z0)))))))))))))), 1'(0(2(1(2(3(0(1(0(2(3(2(0(z0))))))))))))), 0'(2(1(2(3(0(1(0(2(3(2(0(z0)))))))))))), 2'(1(2(3(0(1(0(2(3(2(0(z0))))))))))), 1'(2(3(0(1(0(2(3(2(0(z0)))))))))), 2'(3(0(1(0(2(3(2(0(z0))))))))), 3'(0(1(0(2(3(2(0(z0)))))))), 0'(1(0(2(3(2(0(z0))))))), 1'(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))
   3'(c_1(c_0(c_2(c_1(c_0(c_1(c_0(c_1(c_0(c_2(c_2(c_0(c_2(c_3(c_3(c_2(c_2(z0)))))))))))))))))) -> c69(0'(3(0(0(0(2(3(2(1(3(0(2(2(1(1(1(2(2(z0)))))))))))))))))), 3'(0(0(0(2(3(2(1(3(0(2(2(1(1(1(2(2(z0))))))))))))))))), 0'(0(0(2(3(2(1(3(0(2(2(1(1(1(2(2(z0)))))))))))))))), 0'(0(2(3(2(1(3(0(2(2(1(1(1(2(2(z0))))))))))))))), 0'(2(3(2(1(3(0(2(2(1(1(1(2(2(z0)))))))))))))), 2'(3(2(1(3(0(2(2(1(1(1(2(2(z0))))))))))))), 3'(2(1(3(0(2(2(1(1(1(2(2(z0)))))))))))), 2'(1(3(0(2(2(1(1(1(2(2(z0))))))))))), 1'(3(0(2(2(1(1(1(2(2(z0)))))))))), 3'(0(2(2(1(1(1(2(2(z0))))))))), 0'(2(2(1(1(1(2(2(z0)))))))), 2'(2(1(1(1(2(2(z0))))))), 2'(1(1(1(2(2(z0)))))), 1'(1(1(2(2(z0))))), 1'(1(2(2(z0)))), 1'(2(2(z0))), 2'(2(z0)), 2'(z0))
   3'(c_0(c_1(c_0(c_2(c_3(c_2(c_0(c_1(c_0(c_1(c_2(c_3(c_1(c_2(c_0(c_1(c_2(z0)))))))))))))))))) -> c70(3'(0(1(1(1(1(2(2(3(0(1(2(0(3(0(2(0(2(z0)))))))))))))))))), 0'(1(1(1(1(2(2(3(0(1(2(0(3(0(2(0(2(z0))))))))))))))))), 1'(1(1(1(2(2(3(0(1(2(0(3(0(2(0(2(z0)))))))))))))))), 1'(1(1(2(2(3(0(1(2(0(3(0(2(0(2(z0))))))))))))))), 1'(1(2(2(3(0(1(2(0(3(0(2(0(2(z0)))))))))))))), 1'(2(2(3(0(1(2(0(3(0(2(0(2(z0))))))))))))), 2'(2(3(0(1(2(0(3(0(2(0(2(z0)))))))))))), 2'(3(0(1(2(0(3(0(2(0(2(z0))))))))))), 3'(0(1(2(0(3(0(2(0(2(z0)))))))))), 0'(1(2(0(3(0(2(0(2(z0))))))))), 1'(2(0(3(0(2(0(2(z0)))))))), 2'(0(3(0(2(0(2(z0))))))), 0'(3(0(2(0(2(z0)))))), 3'(0(2(0(2(z0))))), 0'(2(0(2(z0)))), 2'(0(2(z0))), 0'(2(z0)), 2'(z0))
   3'(c_2(c_0(c_3(c_0(c_1(c_1(c_0(c_2(c_3(c_0(c_3(c_0(c_0(c_1(c_0(c_2(c_0(z0)))))))))))))))))) -> c71(3'(2(0(0(1(1(1(0(0(3(3(2(3(0(0(0(2(0(z0)))))))))))))))))), 2'(0(0(1(1(1(0(0(3(3(2(3(0(0(0(2(0(z0))))))))))))))))), 0'(0(1(1(1(0(0(3(3(2(3(0(0(0(2(0(z0)))))))))))))))), 0'(1(1(1(0(0(3(3(2(3(0(0(0(2(0(z0))))))))))))))), 1'(1(1(0(0(3(3(2(3(0(0(0(2(0(z0)))))))))))))), 1'(1(0(0(3(3(2(3(0(0(0(2(0(z0))))))))))))), 1'(0(0(3(3(2(3(0(0(0(2(0(z0)))))))))))), 0'(0(3(3(2(3(0(0(0(2(0(z0))))))))))), 0'(3(3(2(3(0(0(0(2(0(z0)))))))))), 3'(3(2(3(0(0(0(2(0(z0))))))))), 3'(2(3(0(0(0(2(0(z0)))))))), 2'(3(0(0(0(2(0(z0))))))), 3'(0(0(0(2(0(z0)))))), 0'(0(0(2(0(z0))))), 0'(0(2(0(z0)))), 0'(2(0(z0))), 2'(0(z0)), 0'(z0))
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   3'(c_0(c_1(c_0(c_2(c_1(c_0(c_0(c_0(c_0(c_1(c_1(c_3(c_2(c_2(c_3(c_0(c_1(z0)))))))))))))))))) -> c85(3'(0(0(3(0(3(2(1(1(0(0(0(2(1(1(1(0(2(z0)))))))))))))))))), 0'(0(3(0(3(2(1(1(0(0(0(2(1(1(1(0(2(z0))))))))))))))))), 0'(3(0(3(2(1(1(0(0(0(2(1(1(1(0(2(z0)))))))))))))))), 3'(0(3(2(1(1(0(0(0(2(1(1(1(0(2(z0))))))))))))))), 0'(3(2(1(1(0(0(0(2(1(1(1(0(2(z0)))))))))))))), 3'(2(1(1(0(0(0(2(1(1(1(0(2(z0))))))))))))), 2'(1(1(0(0(0(2(1(1(1(0(2(z0)))))))))))), 1'(1(0(0(0(2(1(1(1(0(2(z0))))))))))), 1'(0(0(0(2(1(1(1(0(2(z0)))))))))), 0'(0(0(2(1(1(1(0(2(z0))))))))), 0'(0(2(1(1(1(0(2(z0)))))))), 0'(2(1(1(1(0(2(z0))))))), 2'(1(1(1(0(2(z0)))))), 1'(1(1(0(2(z0))))), 1'(1(0(2(z0)))), 1'(0(2(z0))), 0'(2(z0)), 2'(z0))
   3'(c_3(c_2(c_2(c_3(c_0(c_1(c_3(c_3(c_3(c_0(c_0(c_0(c_2(c_0(c_2(c_3(c_0(z0)))))))))))))))))) -> c86(3'(3(3(0(3(2(0(2(3(0(2(2(0(1(3(0(3(0(z0)))))))))))))))))), 3'(3(0(3(2(0(2(3(0(2(2(0(1(3(0(3(0(z0))))))))))))))))), 3'(0(3(2(0(2(3(0(2(2(0(1(3(0(3(0(z0)))))))))))))))), 0'(3(2(0(2(3(0(2(2(0(1(3(0(3(0(z0))))))))))))))), 3'(2(0(2(3(0(2(2(0(1(3(0(3(0(z0)))))))))))))), 2'(0(2(3(0(2(2(0(1(3(0(3(0(z0))))))))))))), 0'(2(3(0(2(2(0(1(3(0(3(0(z0)))))))))))), 2'(3(0(2(2(0(1(3(0(3(0(z0))))))))))), 3'(0(2(2(0(1(3(0(3(0(z0)))))))))), 0'(2(2(0(1(3(0(3(0(z0))))))))), 2'(2(0(1(3(0(3(0(z0)))))))), 2'(0(1(3(0(3(0(z0))))))), 0'(1(3(0(3(0(z0)))))), 1'(3(0(3(0(z0))))), 3'(0(3(0(z0)))), 0'(3(0(z0))), 3'(0(z0)), 0'(z0))
   3'(c_2(c_0(c_1(c_2(c_3(c_2(c_2(c_1(c_3(c_0(c_3(c_3(c_1(c_3(c_3(c_2(c_2(z0)))))))))))))))))) -> c87(3'(2(0(1(2(0(1(3(3(2(3(3(3(3(1(2(2(2(z0)))))))))))))))))), 2'(0(1(2(0(1(3(3(2(3(3(3(3(1(2(2(2(z0))))))))))))))))), 0'(1(2(0(1(3(3(2(3(3(3(3(1(2(2(2(z0)))))))))))))))), 1'(2(0(1(3(3(2(3(3(3(3(1(2(2(2(z0))))))))))))))), 2'(0(1(3(3(2(3(3(3(3(1(2(2(2(z0)))))))))))))), 0'(1(3(3(2(3(3(3(3(1(2(2(2(z0))))))))))))), 1'(3(3(2(3(3(3(3(1(2(2(2(z0)))))))))))), 3'(3(2(3(3(3(3(1(2(2(2(z0))))))))))), 3'(2(3(3(3(3(1(2(2(2(z0)))))))))), 2'(3(3(3(3(1(2(2(2(z0))))))))), 3'(3(3(3(1(2(2(2(z0)))))))), 3'(3(3(1(2(2(2(z0))))))), 3'(3(1(2(2(2(z0)))))), 3'(1(2(2(2(z0))))), 1'(2(2(2(z0)))), 2'(2(2(z0))), 2'(2(z0)), 2'(z0))
   3'(c_1(c_0(c_3(c_2(c_1(c_0(c_3(c_0(c_2(c_3(c_2(c_3(c_0(c_1(c_3(c_3(c_2(z0)))))))))))))))))) -> c88(3'(1(0(3(1(3(3(3(0(2(3(0(3(2(2(0(1(2(z0)))))))))))))))))), 1'(0(3(1(3(3(3(0(2(3(0(3(2(2(0(1(2(z0))))))))))))))))), 0'(3(1(3(3(3(0(2(3(0(3(2(2(0(1(2(z0)))))))))))))))), 3'(1(3(3(3(0(2(3(0(3(2(2(0(1(2(z0))))))))))))))), 1'(3(3(3(0(2(3(0(3(2(2(0(1(2(z0)))))))))))))), 3'(3(3(0(2(3(0(3(2(2(0(1(2(z0))))))))))))), 3'(3(0(2(3(0(3(2(2(0(1(2(z0)))))))))))), 3'(0(2(3(0(3(2(2(0(1(2(z0))))))))))), 0'(2(3(0(3(2(2(0(1(2(z0)))))))))), 2'(3(0(3(2(2(0(1(2(z0))))))))), 3'(0(3(2(2(0(1(2(z0)))))))), 0'(3(2(2(0(1(2(z0))))))), 3'(2(2(0(1(2(z0)))))), 2'(2(0(1(2(z0))))), 2'(0(1(2(z0)))), 0'(1(2(z0))), 1'(2(z0)), 2'(z0))
   3'(c_3(c_1(c_3(c_0(c_2(c_3(c_3(c_3(c_1(c_0(c_0(c_2(c_2(c_0(c_2(c_0(c_1(z0)))))))))))))))))) -> c89(3'(0(0(2(0(0(3(0(3(3(2(1(2(1(2(3(3(1(z0)))))))))))))))))), 0'(0(2(0(0(3(0(3(3(2(1(2(1(2(3(3(1(z0))))))))))))))))), 0'(2(0(0(3(0(3(3(2(1(2(1(2(3(3(1(z0)))))))))))))))), 2'(0(0(3(0(3(3(2(1(2(1(2(3(3(1(z0))))))))))))))), 0'(0(3(0(3(3(2(1(2(1(2(3(3(1(z0)))))))))))))), 0'(3(0(3(3(2(1(2(1(2(3(3(1(z0))))))))))))), 3'(0(3(3(2(1(2(1(2(3(3(1(z0)))))))))))), 0'(3(3(2(1(2(1(2(3(3(1(z0))))))))))), 3'(3(2(1(2(1(2(3(3(1(z0)))))))))), 3'(2(1(2(1(2(3(3(1(z0))))))))), 2'(1(2(1(2(3(3(1(z0)))))))), 1'(2(1(2(3(3(1(z0))))))), 2'(1(2(3(3(1(z0)))))), 1'(2(3(3(1(z0))))), 2'(3(3(1(z0)))), 3'(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_2(c_0(c_3(c_2(c_1(c_0(z0)))))))))))))))))) -> c90(3'(3(1(0(0(2(1(1(1(2(3(1(1(2(0(0(3(0(z0)))))))))))))))))), 3'(1(0(0(2(1(1(1(2(3(1(1(2(0(0(3(0(z0))))))))))))))))), 1'(0(0(2(1(1(1(2(3(1(1(2(0(0(3(0(z0)))))))))))))))), 0'(0(2(1(1(1(2(3(1(1(2(0(0(3(0(z0))))))))))))))), 0'(2(1(1(1(2(3(1(1(2(0(0(3(0(z0)))))))))))))), 2'(1(1(1(2(3(1(1(2(0(0(3(0(z0))))))))))))), 1'(1(1(2(3(1(1(2(0(0(3(0(z0)))))))))))), 1'(1(2(3(1(1(2(0(0(3(0(z0))))))))))), 1'(2(3(1(1(2(0(0(3(0(z0)))))))))), 2'(3(1(1(2(0(0(3(0(z0))))))))), 3'(1(1(2(0(0(3(0(z0)))))))), 1'(1(2(0(0(3(0(z0))))))), 1'(2(0(0(3(0(z0)))))), 2'(0(0(3(0(z0))))), 0'(0(3(0(z0)))), 0'(3(0(z0))), 3'(0(z0)), 0'(z0))
   3'(c_2(c_2(c_2(c_2(c_3(c_3(c_1(c_3(c_1(c_1(c_3(c_3(c_1(c_2(c_2(c_3(c_2(z0)))))))))))))))))) -> c91(3'(2(3(2(3(1(2(3(1(2(3(3(2(3(2(1(1(2(z0)))))))))))))))))), 2'(3(2(3(1(2(3(1(2(3(3(2(3(2(1(1(2(z0))))))))))))))))), 3'(2(3(1(2(3(1(2(3(3(2(3(2(1(1(2(z0)))))))))))))))), 2'(3(1(2(3(1(2(3(3(2(3(2(1(1(2(z0))))))))))))))), 3'(1(2(3(1(2(3(3(2(3(2(1(1(2(z0)))))))))))))), 1'(2(3(1(2(3(3(2(3(2(1(1(2(z0))))))))))))), 2'(3(1(2(3(3(2(3(2(1(1(2(z0)))))))))))), 3'(1(2(3(3(2(3(2(1(1(2(z0))))))))))), 1'(2(3(3(2(3(2(1(1(2(z0)))))))))), 2'(3(3(2(3(2(1(1(2(z0))))))))), 3'(3(2(3(2(1(1(2(z0)))))))), 3'(2(3(2(1(1(2(z0))))))), 2'(3(2(1(1(2(z0)))))), 3'(2(1(1(2(z0))))), 2'(1(1(2(z0)))), 1'(1(2(z0))), 1'(2(z0)), 2'(z0))
S tuples:
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   0'(c_3(c_1(c_0(c_2(c_2(c_1(c_0(c_1(c_1(c_0(c_0(c_3(c_1(c_2(c_2(c_3(c_0(z0)))))))))))))))))) -> c10(0'(3(1(1(0(3(2(0(2(1(2(2(0(3(1(1(0(0(z0)))))))))))))))))), 3'(1(1(0(3(2(0(2(1(2(2(0(3(1(1(0(0(z0))))))))))))))))), 1'(1(0(3(2(0(2(1(2(2(0(3(1(1(0(0(z0)))))))))))))))), 1'(0(3(2(0(2(1(2(2(0(3(1(1(0(0(z0))))))))))))))), 0'(3(2(0(2(1(2(2(0(3(1(1(0(0(z0)))))))))))))), 3'(2(0(2(1(2(2(0(3(1(1(0(0(z0))))))))))))), 2'(0(2(1(2(2(0(3(1(1(0(0(z0)))))))))))), 0'(2(1(2(2(0(3(1(1(0(0(z0))))))))))), 2'(1(2(2(0(3(1(1(0(0(z0)))))))))), 1'(2(2(0(3(1(1(0(0(z0))))))))), 2'(2(0(3(1(1(0(0(z0)))))))), 2'(0(3(1(1(0(0(z0))))))), 0'(3(1(1(0(0(z0)))))), 3'(1(1(0(0(z0))))), 1'(1(0(0(z0)))), 1'(0(0(z0))), 0'(0(z0)), 0'(z0))
   0'(c_1(c_0(c_3(c_2(c_2(c_3(c_2(c_0(c_1(c_1(c_1(c_1(c_0(c_1(c_0(c_1(c_1(z0)))))))))))))))))) -> c11(1'(2(3(1(1(0(0(1(1(3(0(0(2(0(2(1(1(1(z0)))))))))))))))))), 2'(3(1(1(0(0(1(1(3(0(0(2(0(2(1(1(1(z0))))))))))))))))), 3'(1(1(0(0(1(1(3(0(0(2(0(2(1(1(1(z0)))))))))))))))), 1'(1(0(0(1(1(3(0(0(2(0(2(1(1(1(z0))))))))))))))), 1'(0(0(1(1(3(0(0(2(0(2(1(1(1(z0)))))))))))))), 0'(0(1(1(3(0(0(2(0(2(1(1(1(z0))))))))))))), 0'(1(1(3(0(0(2(0(2(1(1(1(z0)))))))))))), 1'(1(3(0(0(2(0(2(1(1(1(z0))))))))))), 1'(3(0(0(2(0(2(1(1(1(z0)))))))))), 3'(0(0(2(0(2(1(1(1(z0))))))))), 0'(0(2(0(2(1(1(1(z0)))))))), 0'(2(0(2(1(1(1(z0))))))), 2'(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))
   0'(c_2(c_0(c_2(c_2(c_1(c_1(c_0(c_2(c_0(c_0(c_0(c_1(c_0(c_3(c_0(c_2(c_0(z0)))))))))))))))))) -> c12(0'(2(1(1(1(0(2(0(2(0(0(0(0(3(2(0(2(0(z0)))))))))))))))))), 2'(1(1(1(0(2(0(2(0(0(0(0(3(2(0(2(0(z0))))))))))))))))), 1'(1(1(0(2(0(2(0(0(0(0(3(2(0(2(0(z0)))))))))))))))), 1'(1(0(2(0(2(0(0(0(0(3(2(0(2(0(z0))))))))))))))), 1'(0(2(0(2(0(0(0(0(3(2(0(2(0(z0)))))))))))))), 0'(2(0(2(0(0(0(0(3(2(0(2(0(z0))))))))))))), 2'(0(2(0(0(0(0(3(2(0(2(0(z0)))))))))))), 0'(2(0(0(0(0(3(2(0(2(0(z0))))))))))), 2'(0(0(0(0(3(2(0(2(0(z0)))))))))), 0'(0(0(0(3(2(0(2(0(z0))))))))), 0'(0(0(3(2(0(2(0(z0)))))))), 0'(0(3(2(0(2(0(z0))))))), 0'(3(2(0(2(0(z0)))))), 3'(2(0(2(0(z0))))), 2'(0(2(0(z0)))), 0'(2(0(z0))), 2'(0(z0)), 0'(z0))
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   3'(c_1(c_2(c_2(c_3(c_1(c_0(c_1(c_1(c_1(c_1(c_3(c_2(c_1(c_1(c_1(c_3(c_1(z0)))))))))))))))))) -> c81(3'(1(1(2(2(3(1(1(0(1(2(1(1(3(1(1(3(1(z0)))))))))))))))))), 1'(1(2(2(3(1(1(0(1(2(1(1(3(1(1(3(1(z0))))))))))))))))), 1'(2(2(3(1(1(0(1(2(1(1(3(1(1(3(1(z0)))))))))))))))), 2'(2(3(1(1(0(1(2(1(1(3(1(1(3(1(z0))))))))))))))), 2'(3(1(1(0(1(2(1(1(3(1(1(3(1(z0)))))))))))))), 3'(1(1(0(1(2(1(1(3(1(1(3(1(z0))))))))))))), 1'(1(0(1(2(1(1(3(1(1(3(1(z0)))))))))))), 1'(0(1(2(1(1(3(1(1(3(1(z0))))))))))), 0'(1(2(1(1(3(1(1(3(1(z0)))))))))), 1'(2(1(1(3(1(1(3(1(z0))))))))), 2'(1(1(3(1(1(3(1(z0)))))))), 1'(1(3(1(1(3(1(z0))))))), 1'(3(1(1(3(1(z0)))))), 3'(1(1(3(1(z0))))), 1'(1(3(1(z0)))), 1'(3(1(z0))), 3'(1(z0)), 1'(z0))
   3'(c_3(c_1(c_3(c_3(c_2(c_1(c_3(c_2(c_3(c_3(c_2(c_3(c_1(c_3(c_2(c_3(c_1(z0)))))))))))))))))) -> c82(3'(1(3(1(2(2(3(3(3(3(3(3(3(2(2(1(3(1(z0)))))))))))))))))), 1'(3(1(2(2(3(3(3(3(3(3(3(2(2(1(3(1(z0))))))))))))))))), 3'(1(2(2(3(3(3(3(3(3(3(2(2(1(3(1(z0)))))))))))))))), 1'(2(2(3(3(3(3(3(3(3(2(2(1(3(1(z0))))))))))))))), 2'(2(3(3(3(3(3(3(3(2(2(1(3(1(z0)))))))))))))), 2'(3(3(3(3(3(3(3(2(2(1(3(1(z0))))))))))))), 3'(3(3(3(3(3(3(2(2(1(3(1(z0)))))))))))), 3'(3(3(3(3(3(2(2(1(3(1(z0))))))))))), 3'(3(3(3(3(2(2(1(3(1(z0)))))))))), 3'(3(3(3(2(2(1(3(1(z0))))))))), 3'(3(3(2(2(1(3(1(z0)))))))), 3'(3(2(2(1(3(1(z0))))))), 3'(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))
   3'(c_0(c_0(c_1(c_3(c_2(c_2(c_1(c_3(c_3(c_0(c_1(c_2(c_1(c_0(c_3(c_1(c_2(z0)))))))))))))))))) -> c83(3'(0(1(1(3(3(0(2(3(1(2(1(3(0(2(0(1(2(z0)))))))))))))))))), 0'(1(1(3(3(0(2(3(1(2(1(3(0(2(0(1(2(z0))))))))))))))))), 1'(1(3(3(0(2(3(1(2(1(3(0(2(0(1(2(z0)))))))))))))))), 1'(3(3(0(2(3(1(2(1(3(0(2(0(1(2(z0))))))))))))))), 3'(3(0(2(3(1(2(1(3(0(2(0(1(2(z0)))))))))))))), 3'(0(2(3(1(2(1(3(0(2(0(1(2(z0))))))))))))), 0'(2(3(1(2(1(3(0(2(0(1(2(z0)))))))))))), 2'(3(1(2(1(3(0(2(0(1(2(z0))))))))))), 3'(1(2(1(3(0(2(0(1(2(z0)))))))))), 1'(2(1(3(0(2(0(1(2(z0))))))))), 2'(1(3(0(2(0(1(2(z0)))))))), 1'(3(0(2(0(1(2(z0))))))), 3'(0(2(0(1(2(z0)))))), 0'(2(0(1(2(z0))))), 2'(0(1(2(z0)))), 0'(1(2(z0))), 1'(2(z0)), 2'(z0))
   3'(c_2(c_1(c_0(c_1(c_0(c_1(c_3(c_0(c_1(c_2(c_3(c_0(c_0(c_1(c_3(c_0(c_1(z0)))))))))))))))))) -> c84(3'(0(0(3(0(3(3(0(0(1(1(0(1(2(1(2(1(1(z0)))))))))))))))))), 0'(0(3(0(3(3(0(0(1(1(0(1(2(1(2(1(1(z0))))))))))))))))), 0'(3(0(3(3(0(0(1(1(0(1(2(1(2(1(1(z0)))))))))))))))), 3'(0(3(3(0(0(1(1(0(1(2(1(2(1(1(z0))))))))))))))), 0'(3(3(0(0(1(1(0(1(2(1(2(1(1(z0)))))))))))))), 3'(3(0(0(1(1(0(1(2(1(2(1(1(z0))))))))))))), 3'(0(0(1(1(0(1(2(1(2(1(1(z0)))))))))))), 0'(0(1(1(0(1(2(1(2(1(1(z0))))))))))), 0'(1(1(0(1(2(1(2(1(1(z0)))))))))), 1'(1(0(1(2(1(2(1(1(z0))))))))), 1'(0(1(2(1(2(1(1(z0)))))))), 0'(1(2(1(2(1(1(z0))))))), 1'(2(1(2(1(1(z0)))))), 2'(1(2(1(1(z0))))), 1'(2(1(1(z0)))), 2'(1(1(z0))), 1'(1(z0)), 1'(z0))
   3'(c_0(c_1(c_0(c_2(c_1(c_0(c_0(c_0(c_0(c_1(c_1(c_3(c_2(c_2(c_3(c_0(c_1(z0)))))))))))))))))) -> c85(3'(0(0(3(0(3(2(1(1(0(0(0(2(1(1(1(0(2(z0)))))))))))))))))), 0'(0(3(0(3(2(1(1(0(0(0(2(1(1(1(0(2(z0))))))))))))))))), 0'(3(0(3(2(1(1(0(0(0(2(1(1(1(0(2(z0)))))))))))))))), 3'(0(3(2(1(1(0(0(0(2(1(1(1(0(2(z0))))))))))))))), 0'(3(2(1(1(0(0(0(2(1(1(1(0(2(z0)))))))))))))), 3'(2(1(1(0(0(0(2(1(1(1(0(2(z0))))))))))))), 2'(1(1(0(0(0(2(1(1(1(0(2(z0)))))))))))), 1'(1(0(0(0(2(1(1(1(0(2(z0))))))))))), 1'(0(0(0(2(1(1(1(0(2(z0)))))))))), 0'(0(0(2(1(1(1(0(2(z0))))))))), 0'(0(2(1(1(1(0(2(z0)))))))), 0'(2(1(1(1(0(2(z0))))))), 2'(1(1(1(0(2(z0)))))), 1'(1(1(0(2(z0))))), 1'(1(0(2(z0)))), 1'(0(2(z0))), 0'(2(z0)), 2'(z0))
   3'(c_3(c_2(c_2(c_3(c_0(c_1(c_3(c_3(c_3(c_0(c_0(c_0(c_2(c_0(c_2(c_3(c_0(z0)))))))))))))))))) -> c86(3'(3(3(0(3(2(0(2(3(0(2(2(0(1(3(0(3(0(z0)))))))))))))))))), 3'(3(0(3(2(0(2(3(0(2(2(0(1(3(0(3(0(z0))))))))))))))))), 3'(0(3(2(0(2(3(0(2(2(0(1(3(0(3(0(z0)))))))))))))))), 0'(3(2(0(2(3(0(2(2(0(1(3(0(3(0(z0))))))))))))))), 3'(2(0(2(3(0(2(2(0(1(3(0(3(0(z0)))))))))))))), 2'(0(2(3(0(2(2(0(1(3(0(3(0(z0))))))))))))), 0'(2(3(0(2(2(0(1(3(0(3(0(z0)))))))))))), 2'(3(0(2(2(0(1(3(0(3(0(z0))))))))))), 3'(0(2(2(0(1(3(0(3(0(z0)))))))))), 0'(2(2(0(1(3(0(3(0(z0))))))))), 2'(2(0(1(3(0(3(0(z0)))))))), 2'(0(1(3(0(3(0(z0))))))), 0'(1(3(0(3(0(z0)))))), 1'(3(0(3(0(z0))))), 3'(0(3(0(z0)))), 0'(3(0(z0))), 3'(0(z0)), 0'(z0))
   3'(c_2(c_0(c_1(c_2(c_3(c_2(c_2(c_1(c_3(c_0(c_3(c_3(c_1(c_3(c_3(c_2(c_2(z0)))))))))))))))))) -> c87(3'(2(0(1(2(0(1(3(3(2(3(3(3(3(1(2(2(2(z0)))))))))))))))))), 2'(0(1(2(0(1(3(3(2(3(3(3(3(1(2(2(2(z0))))))))))))))))), 0'(1(2(0(1(3(3(2(3(3(3(3(1(2(2(2(z0)))))))))))))))), 1'(2(0(1(3(3(2(3(3(3(3(1(2(2(2(z0))))))))))))))), 2'(0(1(3(3(2(3(3(3(3(1(2(2(2(z0)))))))))))))), 0'(1(3(3(2(3(3(3(3(1(2(2(2(z0))))))))))))), 1'(3(3(2(3(3(3(3(1(2(2(2(z0)))))))))))), 3'(3(2(3(3(3(3(1(2(2(2(z0))))))))))), 3'(2(3(3(3(3(1(2(2(2(z0)))))))))), 2'(3(3(3(3(1(2(2(2(z0))))))))), 3'(3(3(3(1(2(2(2(z0)))))))), 3'(3(3(1(2(2(2(z0))))))), 3'(3(1(2(2(2(z0)))))), 3'(1(2(2(2(z0))))), 1'(2(2(2(z0)))), 2'(2(2(z0))), 2'(2(z0)), 2'(z0))
   3'(c_1(c_0(c_3(c_2(c_1(c_0(c_3(c_0(c_2(c_3(c_2(c_3(c_0(c_1(c_3(c_3(c_2(z0)))))))))))))))))) -> c88(3'(1(0(3(1(3(3(3(0(2(3(0(3(2(2(0(1(2(z0)))))))))))))))))), 1'(0(3(1(3(3(3(0(2(3(0(3(2(2(0(1(2(z0))))))))))))))))), 0'(3(1(3(3(3(0(2(3(0(3(2(2(0(1(2(z0)))))))))))))))), 3'(1(3(3(3(0(2(3(0(3(2(2(0(1(2(z0))))))))))))))), 1'(3(3(3(0(2(3(0(3(2(2(0(1(2(z0)))))))))))))), 3'(3(3(0(2(3(0(3(2(2(0(1(2(z0))))))))))))), 3'(3(0(2(3(0(3(2(2(0(1(2(z0)))))))))))), 3'(0(2(3(0(3(2(2(0(1(2(z0))))))))))), 0'(2(3(0(3(2(2(0(1(2(z0)))))))))), 2'(3(0(3(2(2(0(1(2(z0))))))))), 3'(0(3(2(2(0(1(2(z0)))))))), 0'(3(2(2(0(1(2(z0))))))), 3'(2(2(0(1(2(z0)))))), 2'(2(0(1(2(z0))))), 2'(0(1(2(z0)))), 0'(1(2(z0))), 1'(2(z0)), 2'(z0))
   3'(c_3(c_1(c_3(c_0(c_2(c_3(c_3(c_3(c_1(c_0(c_0(c_2(c_2(c_0(c_2(c_0(c_1(z0)))))))))))))))))) -> c89(3'(0(0(2(0(0(3(0(3(3(2(1(2(1(2(3(3(1(z0)))))))))))))))))), 0'(0(2(0(0(3(0(3(3(2(1(2(1(2(3(3(1(z0))))))))))))))))), 0'(2(0(0(3(0(3(3(2(1(2(1(2(3(3(1(z0)))))))))))))))), 2'(0(0(3(0(3(3(2(1(2(1(2(3(3(1(z0))))))))))))))), 0'(0(3(0(3(3(2(1(2(1(2(3(3(1(z0)))))))))))))), 0'(3(0(3(3(2(1(2(1(2(3(3(1(z0))))))))))))), 3'(0(3(3(2(1(2(1(2(3(3(1(z0)))))))))))), 0'(3(3(2(1(2(1(2(3(3(1(z0))))))))))), 3'(3(2(1(2(1(2(3(3(1(z0)))))))))), 3'(2(1(2(1(2(3(3(1(z0))))))))), 2'(1(2(1(2(3(3(1(z0)))))))), 1'(2(1(2(3(3(1(z0))))))), 2'(1(2(3(3(1(z0)))))), 1'(2(3(3(1(z0))))), 2'(3(3(1(z0)))), 3'(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_2(c_0(c_3(c_2(c_1(c_0(z0)))))))))))))))))) -> c90(3'(3(1(0(0(2(1(1(1(2(3(1(1(2(0(0(3(0(z0)))))))))))))))))), 3'(1(0(0(2(1(1(1(2(3(1(1(2(0(0(3(0(z0))))))))))))))))), 1'(0(0(2(1(1(1(2(3(1(1(2(0(0(3(0(z0)))))))))))))))), 0'(0(2(1(1(1(2(3(1(1(2(0(0(3(0(z0))))))))))))))), 0'(2(1(1(1(2(3(1(1(2(0(0(3(0(z0)))))))))))))), 2'(1(1(1(2(3(1(1(2(0(0(3(0(z0))))))))))))), 1'(1(1(2(3(1(1(2(0(0(3(0(z0)))))))))))), 1'(1(2(3(1(1(2(0(0(3(0(z0))))))))))), 1'(2(3(1(1(2(0(0(3(0(z0)))))))))), 2'(3(1(1(2(0(0(3(0(z0))))))))), 3'(1(1(2(0(0(3(0(z0)))))))), 1'(1(2(0(0(3(0(z0))))))), 1'(2(0(0(3(0(z0)))))), 2'(0(0(3(0(z0))))), 0'(0(3(0(z0)))), 0'(3(0(z0))), 3'(0(z0)), 0'(z0))
   3'(c_2(c_2(c_2(c_2(c_3(c_3(c_1(c_3(c_1(c_1(c_3(c_3(c_1(c_2(c_2(c_3(c_2(z0)))))))))))))))))) -> c91(3'(2(3(2(3(1(2(3(1(2(3(3(2(3(2(1(1(2(z0)))))))))))))))))), 2'(3(2(3(1(2(3(1(2(3(3(2(3(2(1(1(2(z0))))))))))))))))), 3'(2(3(1(2(3(1(2(3(3(2(3(2(1(1(2(z0)))))))))))))))), 2'(3(1(2(3(1(2(3(3(2(3(2(1(1(2(z0))))))))))))))), 3'(1(2(3(1(2(3(3(2(3(2(1(1(2(z0)))))))))))))), 1'(2(3(1(2(3(3(2(3(2(1(1(2(z0))))))))))))), 2'(3(1(2(3(3(2(3(2(1(1(2(z0)))))))))))), 3'(1(2(3(3(2(3(2(1(1(2(z0))))))))))), 1'(2(3(3(2(3(2(1(1(2(z0)))))))))), 2'(3(3(2(3(2(1(1(2(z0))))))))), 3'(3(2(3(2(1(1(2(z0)))))))), 3'(2(3(2(1(1(2(z0))))))), 2'(3(2(1(1(2(z0)))))), 3'(2(1(1(2(z0))))), 2'(1(1(2(z0)))), 1'(1(2(z0))), 1'(2(z0)), 2'(z0))
K tuples:none
Defined Rule Symbols:   3_1, 0_1, 2_1, 1_1, encArg_1, encode_0_1, encode_1_1, encode_3_1, encode_2_1

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

Compound Symbols:   c_2, c1_2, c2_2, c3_2, c4_2, c5_2, c6_2, c7_2, c8, c9_18, c10_18, c11_18, c12_18, c13_18, c14_18, c15_18, c16_18, c17_18, c18_18, c19_18, c20_18, c21_18, c22_18, c23_18, c24_18, c25_18, c26_18, c27_18, c28_18, c29_18, c30_18, c31_18, c32_18, c33_18, c34, c35_18, c36_18, c37_18, c38_18, c39_18, c40_18, c41_18, c42_18, c43_18, c44_18, c45_18, c46_18, c47_18, c48_18, c49_18, c50_18, c51_18, c52_18, c53_18, c54_18, c55_18, c56, c57_18, c58_18, c59_18, c60_18, c61_18, c62_18, c63_18, c64_18, c65_18, c66, c67_18, c68_18, c69_18, c70_18, c71_18, c72_18, c73_18, c74_18, c75_18, c76_18, c77_18, c78_18, c79_18, c80_18, c81_18, c82_18, c83_18, c84_18, c85_18, c86_18, c87_18, c88_18, c89_18, c90_18, c91_18


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

(39) CdtLeafRemovalProof (BOTH BOUNDS(ID, ID))
Removed 4 trailing nodes:
   0'(z0) -> c8
   2'(z0) -> c56
   3'(z0) -> c66
   1'(z0) -> c34

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

(40)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(cons_0(z0)) -> 0(encArg(z0))
   encArg(cons_1(z0)) -> 1(encArg(z0))
   encArg(cons_2(z0)) -> 2(encArg(z0))
   encArg(cons_3(z0)) -> 3(encArg(z0))
   encode_0(z0) -> 0(encArg(z0))
   encode_1(z0) -> 1(encArg(z0))
   encode_3(z0) -> 3(encArg(z0))
   encode_2(z0) -> 2(encArg(z0))
   0(z0) -> c_0(z0)
   0(c_2(c_3(c_3(c_2(c_1(c_3(c_0(c_1(c_3(c_1(c_3(c_3(c_0(c_2(c_1(c_0(c_1(z0)))))))))))))))))) -> 0(2(3(3(0(3(1(0(2(3(1(0(3(3(2(1(1(1(z0))))))))))))))))))
   0(c_3(c_1(c_0(c_2(c_2(c_1(c_0(c_1(c_1(c_0(c_0(c_3(c_1(c_2(c_2(c_3(c_0(z0)))))))))))))))))) -> 0(3(1(1(0(3(2(0(2(1(2(2(0(3(1(1(0(0(z0))))))))))))))))))
   0(c_1(c_0(c_3(c_2(c_2(c_3(c_2(c_0(c_1(c_1(c_1(c_1(c_0(c_1(c_0(c_1(c_1(z0)))))))))))))))))) -> 1(2(3(1(1(0(0(1(1(3(0(0(2(0(2(1(1(1(z0))))))))))))))))))
   0(c_2(c_0(c_2(c_2(c_1(c_1(c_0(c_2(c_0(c_0(c_0(c_1(c_0(c_3(c_0(c_2(c_0(z0)))))))))))))))))) -> 0(2(1(1(1(0(2(0(2(0(0(0(0(3(2(0(2(0(z0))))))))))))))))))
   0(c_0(c_2(c_0(c_0(c_0(c_1(c_1(c_0(c_2(c_2(c_3(c_3(c_0(c_0(c_3(c_0(c_2(z0)))))))))))))))))) -> 0(2(0(0(3(1(1(2(3(0(2(0(0(3(0(0(0(2(z0))))))))))))))))))
   0(c_0(c_3(c_2(c_0(c_0(c_1(c_0(c_1(c_3(c_2(c_3(c_2(c_2(c_2(c_0(c_1(c_1(z0)))))))))))))))))) -> 2(0(0(1(3(1(2(1(2(0(3(2(0(0(3(0(1(2(z0))))))))))))))))))
   0(c_2(c_2(c_2(c_2(c_2(c_1(c_3(c_1(c_0(c_1(c_2(c_3(c_2(c_0(c_1(c_1(c_2(z0)))))))))))))))))) -> 2(1(2(1(2(3(2(1(2(1(2(0(0(2(0(1(3(2(z0))))))))))))))))))
   0(c_0(c_2(c_1(c_0(c_0(c_1(c_0(c_1(c_0(c_3(c_1(c_3(c_3(c_2(c_0(c_1(c_1(z0)))))))))))))))))) -> 3(0(0(2(0(1(1(0(2(0(3(1(0(1(0(3(1(1(z0))))))))))))))))))
   0(c_0(c_0(c_1(c_3(c_2(c_2(c_3(c_0(c_2(c_2(c_0(c_1(c_0(c_0(c_0(c_1(c_2(z0)))))))))))))))))) -> 0(3(0(0(3(0(2(1(2(1(0(0(1(2(0(2(0(2(z0))))))))))))))))))
   0(c_2(c_2(c_1(c_3(c_0(c_0(c_1(c_3(c_0(c_1(c_0(c_3(c_3(c_2(c_0(c_1(c_3(z0)))))))))))))))))) -> 3(0(1(3(3(0(0(0(0(2(1(2(0(3(1(2(1(3(z0))))))))))))))))))
   0(c_2(c_3(c_1(c_3(c_3(c_1(c_3(c_2(c_3(c_2(c_2(c_1(c_0(c_1(c_1(c_1(c_1(z0)))))))))))))))))) -> 1(0(3(3(3(3(1(1(2(2(3(1(2(1(2(0(1(1(z0))))))))))))))))))
   0(c_1(c_1(c_0(c_0(c_2(c_2(c_0(c_3(c_2(c_1(c_0(c_3(c_1(c_1(c_0(c_2(c_2(z0)))))))))))))))))) -> 0(0(0(2(1(2(0(1(1(2(1(0(3(3(1(0(2(2(z0))))))))))))))))))
   0(c_1(c_0(c_1(c_0(c_3(c_0(c_1(c_3(c_1(c_3(c_0(c_1(c_0(c_1(c_3(c_2(c_1(z0)))))))))))))))))) -> 0(1(2(0(3(1(0(0(1(1(0(1(3(1(0(3(3(1(z0))))))))))))))))))
   0(c_2(c_2(c_2(c_3(c_3(c_0(c_1(c_3(c_1(c_1(c_1(c_0(c_1(c_3(c_2(c_0(c_2(z0)))))))))))))))))) -> 2(1(1(0(3(3(0(1(3(1(2(3(2(0(1(2(0(2(z0))))))))))))))))))
   0(c_0(c_1(c_3(c_2(c_1(c_0(c_1(c_2(c_2(c_1(c_1(c_1(c_1(c_2(c_3(c_2(c_2(z0)))))))))))))))))) -> 0(1(1(1(2(1(2(1(3(2(3(0(1(2(0(1(2(2(z0))))))))))))))))))
   0(c_2(c_2(c_0(c_3(c_1(c_3(c_1(c_3(c_3(c_1(c_2(c_1(c_0(c_0(c_2(c_0(c_1(z0)))))))))))))))))) -> 0(2(0(1(1(2(3(3(1(1(3(0(2(0(2(0(3(1(z0))))))))))))))))))
   0(c_2(c_3(c_1(c_3(c_2(c_3(c_1(c_1(c_0(c_2(c_3(c_2(c_1(c_0(c_0(c_1(c_2(z0)))))))))))))))))) -> 0(2(3(3(2(3(2(0(1(2(0(1(1(1(0(3(1(2(z0))))))))))))))))))
   0(c_2(c_3(c_2(c_1(c_1(c_3(c_3(c_1(c_3(c_0(c_1(c_0(c_1(c_1(c_3(c_2(c_1(z0)))))))))))))))))) -> 0(2(3(1(2(1(1(1(2(0(3(3(3(3(0(1(1(1(z0))))))))))))))))))
   0(c_0(c_1(c_1(c_3(c_2(c_3(c_2(c_3(c_2(c_0(c_0(c_2(c_3(c_2(c_3(c_1(c_0(z0)))))))))))))))))) -> 2(3(0(2(1(2(3(1(2(3(0(3(3(1(0(2(0(0(z0))))))))))))))))))
   0(c_0(c_2(c_0(c_3(c_2(c_2(c_3(c_3(c_1(c_3(c_2(c_1(c_1(c_3(c_0(c_0(c_1(z0)))))))))))))))))) -> 0(0(3(1(1(0(3(2(2(0(2(3(3(1(2(3(0(1(z0))))))))))))))))))
   0(c_3(c_1(c_0(c_0(c_3(c_0(c_0(c_1(c_0(c_3(c_2(c_1(c_3(c_0(c_0(c_1(c_2(z0)))))))))))))))))) -> 0(0(3(1(1(3(1(0(0(2(1(0(3(0(0(0(3(2(z0))))))))))))))))))
   0(c_3(c_0(c_1(c_3(c_1(c_3(c_2(c_0(c_1(c_0(c_1(c_0(c_0(c_3(c_1(c_1(c_3(z0)))))))))))))))))) -> 0(3(2(0(3(1(3(1(1(0(3(0(0(1(0(1(1(3(z0))))))))))))))))))
   0(c_0(c_3(c_3(c_1(c_3(c_3(c_0(c_1(c_3(c_2(c_3(c_3(c_3(c_0(c_3(c_3(c_3(z0)))))))))))))))))) -> 0(3(0(3(3(1(3(0(3(3(3(1(3(0(3(2(3(3(z0))))))))))))))))))
   0(c_0(c_2(c_0(c_1(c_1(c_2(c_0(c_1(c_0(c_1(c_0(c_1(c_0(c_2(c_3(c_2(c_0(z0)))))))))))))))))) -> 0(0(0(2(2(2(0(3(0(1(1(1(1(1(0(0(2(0(z0))))))))))))))))))
   0(c_0(c_3(c_1(c_0(c_0(c_2(c_2(c_0(c_0(c_0(c_2(c_2(c_3(c_2(c_2(c_2(c_0(z0)))))))))))))))))) -> 0(0(2(0(2(0(0(2(2(0(2(3(1(3(0(2(2(0(z0))))))))))))))))))
   1(z0) -> c_1(z0)
   1(c_0(c_0(c_0(c_3(c_0(c_2(c_3(c_1(c_2(c_3(c_1(c_1(c_2(c_2(c_2(c_2(c_3(z0)))))))))))))))))) -> 1(3(0(2(1(2(0(1(2(0(0(2(2(1(3(3(2(3(z0))))))))))))))))))
   1(c_3(c_1(c_3(c_2(c_2(c_0(c_0(c_0(c_0(c_1(c_3(c_2(c_0(c_1(c_3(c_3(c_0(z0)))))))))))))))))) -> 1(2(0(0(0(0(0(3(1(3(3(3(2(1(2(3(1(0(z0))))))))))))))))))
   1(c_1(c_2(c_0(c_2(c_2(c_1(c_2(c_3(c_2(c_3(c_1(c_0(c_0(c_1(c_3(c_0(c_2(z0)))))))))))))))))) -> 1(2(2(1(1(2(0(3(1(0(3(1(0(2(2(3(0(2(z0))))))))))))))))))
   1(c_0(c_3(c_2(c_3(c_2(c_2(c_0(c_3(c_2(c_2(c_1(c_1(c_0(c_3(c_2(c_3(c_3(z0)))))))))))))))))) -> 1(2(3(0(2(2(3(0(2(3(2(1(3(1(2(0(3(3(z0))))))))))))))))))
   1(c_1(c_0(c_1(c_1(c_3(c_2(c_0(c_2(c_1(c_2(c_2(c_1(c_2(c_3(c_1(c_1(c_1(z0)))))))))))))))))) -> 1(1(0(3(2(3(1(2(1(2(0(2(2(1(1(1(1(1(z0))))))))))))))))))
   1(c_3(c_2(c_3(c_0(c_3(c_3(c_3(c_1(c_3(c_3(c_1(c_3(c_3(c_3(c_2(c_2(c_0(z0)))))))))))))))))) -> 1(3(3(3(1(1(0(2(3(3(3(3(3(2(0(3(2(3(z0))))))))))))))))))
   1(c_3(c_3(c_1(c_1(c_3(c_0(c_2(c_0(c_1(c_3(c_1(c_3(c_0(c_3(c_2(c_2(c_1(z0)))))))))))))))))) -> 1(3(3(3(0(1(1(2(0(3(1(1(2(3(3(0(2(1(z0))))))))))))))))))
   1(c_0(c_0(c_0(c_1(c_3(c_2(c_2(c_2(c_2(c_2(c_3(c_1(c_3(c_1(c_1(c_1(c_1(z0)))))))))))))))))) -> 1(2(1(1(3(2(0(1(0(2(1(0(2(3(1(2(3(1(z0))))))))))))))))))
   1(c_1(c_0(c_0(c_3(c_2(c_2(c_2(c_2(c_0(c_3(c_2(c_2(c_0(c_0(c_1(c_0(c_0(z0)))))))))))))))))) -> 1(3(3(0(0(2(0(1(2(2(2(0(2(1(0(2(0(0(z0))))))))))))))))))
   1(c_0(c_1(c_0(c_1(c_3(c_0(c_2(c_3(c_0(c_1(c_3(c_3(c_2(c_1(c_0(c_1(c_3(z0)))))))))))))))))) -> 1(3(3(2(1(2(0(1(3(1(3(0(0(0(1(0(1(3(z0))))))))))))))))))
   1(c_0(c_1(c_1(c_3(c_2(c_1(c_1(c_0(c_0(c_0(c_1(c_3(c_0(c_0(c_0(c_1(c_0(z0)))))))))))))))))) -> 1(3(1(1(1(0(1(3(0(0(0(0(1(1(0(0(2(0(z0))))))))))))))))))
   1(c_0(c_2(c_3(c_0(c_1(c_0(c_2(c_0(c_1(c_0(c_3(c_1(c_2(c_2(c_2(c_3(c_1(z0)))))))))))))))))) -> 1(0(3(0(0(0(2(2(3(3(1(2(0(1(2(1(2(1(z0))))))))))))))))))
   1(c_2(c_2(c_1(c_2(c_2(c_1(c_0(c_1(c_2(c_1(c_1(c_0(c_2(c_3(c_2(c_2(c_0(z0)))))))))))))))))) -> 1(2(1(2(2(1(2(1(0(1(2(2(0(2(3(1(2(0(z0))))))))))))))))))
   1(c_1(c_1(c_0(c_1(c_1(c_3(c_2(c_3(c_0(c_0(c_3(c_3(c_3(c_2(c_2(c_2(c_1(z0)))))))))))))))))) -> 1(0(3(0(0(3(3(1(2(3(1(2(1(1(2(3(1(2(z0))))))))))))))))))
   1(c_1(c_3(c_3(c_2(c_1(c_1(c_1(c_3(c_3(c_1(c_1(c_0(c_2(c_0(c_2(c_1(c_2(z0)))))))))))))))))) -> 1(1(2(3(1(3(0(1(1(1(2(3(0(2(3(1(1(2(z0))))))))))))))))))
   1(c_0(c_3(c_0(c_2(c_0(c_3(c_0(c_1(c_1(c_2(c_3(c_0(c_1(c_3(c_2(c_0(c_3(z0)))))))))))))))))) -> 1(0(2(1(0(1(0(2(0(3(3(3(1(2(0(0(3(3(z0))))))))))))))))))
   1(c_1(c_1(c_0(c_1(c_1(c_2(c_2(c_2(c_1(c_0(c_1(c_1(c_1(c_3(c_3(c_0(c_3(z0)))))))))))))))))) -> 1(2(0(3(1(1(1(0(1(2(1(2(1(1(1(3(0(3(z0))))))))))))))))))
   1(c_0(c_1(c_3(c_2(c_0(c_2(c_1(c_3(c_3(c_2(c_1(c_3(c_2(c_2(c_0(c_1(c_2(z0)))))))))))))))))) -> 1(3(1(2(1(3(3(1(0(0(0(2(1(3(2(2(2(2(z0))))))))))))))))))
   1(c_1(c_3(c_3(c_1(c_0(c_2(c_3(c_2(c_1(c_3(c_2(c_0(c_1(c_1(c_1(c_1(c_1(z0)))))))))))))))))) -> 1(3(1(1(1(1(1(2(1(1(3(0(3(3(0(2(2(1(z0))))))))))))))))))
   1(c_3(c_0(c_1(c_3(c_2(c_2(c_2(c_2(c_1(c_0(c_0(c_1(c_2(c_2(c_0(c_0(c_1(z0)))))))))))))))))) -> 1(2(2(1(1(2(1(2(0(0(3(1(2(0(0(0(3(2(z0))))))))))))))))))
   1(c_3(c_1(c_2(c_2(c_2(c_1(c_3(c_3(c_0(c_1(c_1(c_0(c_0(c_2(c_2(c_3(c_2(z0)))))))))))))))))) -> 1(2(2(3(0(2(3(0(3(2(3(1(1(0(1(2(1(2(z0))))))))))))))))))
   2(z0) -> c_2(z0)
   2(c_0(c_2(c_2(c_3(c_2(c_0(c_2(c_0(c_1(c_1(c_3(c_1(c_3(c_3(c_3(c_2(c_0(z0)))))))))))))))))) -> 2(3(1(2(1(2(0(2(2(1(0(0(3(3(2(0(3(3(z0))))))))))))))))))
   2(c_1(c_0(c_0(c_2(c_2(c_2(c_0(c_1(c_3(c_1(c_3(c_2(c_3(c_2(c_1(c_1(c_2(z0)))))))))))))))))) -> 2(2(0(0(3(0(2(2(1(2(3(1(2(3(1(1(1(2(z0))))))))))))))))))
   2(c_0(c_2(c_0(c_0(c_1(c_1(c_1(c_3(c_1(c_1(c_3(c_2(c_3(c_1(c_3(c_2(c_3(z0)))))))))))))))))) -> 2(0(1(1(1(0(3(1(2(1(0(1(2(3(3(3(2(3(z0))))))))))))))))))
   2(c_3(c_1(c_0(c_0(c_3(c_1(c_0(c_1(c_3(c_0(c_1(c_2(c_2(c_2(c_2(c_0(c_2(z0)))))))))))))))))) -> 2(0(2(0(0(1(1(2(3(1(1(0(2(3(2(3(0(2(z0))))))))))))))))))
   2(c_1(c_3(c_3(c_2(c_1(c_2(c_3(c_1(c_3(c_3(c_1(c_2(c_1(c_2(c_2(c_0(c_3(z0)))))))))))))))))) -> 2(2(1(1(1(2(2(2(1(2(1(0(3(3(3(3(3(3(z0))))))))))))))))))
   2(c_1(c_0(c_2(c_1(c_0(c_0(c_1(c_1(c_2(c_2(c_2(c_2(c_2(c_2(c_2(c_2(c_1(z0)))))))))))))))))) -> 2(0(0(1(2(2(2(1(2(2(2(0(1(2(1(2(2(1(z0))))))))))))))))))
   2(c_3(c_0(c_1(c_0(c_0(c_3(c_1(c_0(c_3(c_2(c_3(c_2(c_2(c_2(c_3(c_3(c_2(z0)))))))))))))))))) -> 2(3(2(3(0(0(2(2(2(1(1(0(3(2(0(3(3(3(z0))))))))))))))))))
   2(c_2(c_3(c_1(c_0(c_3(c_2(c_2(c_2(c_2(c_3(c_1(c_3(c_3(c_0(c_2(c_3(c_2(z0)))))))))))))))))) -> 2(2(3(0(3(1(2(3(3(3(0(2(1(2(2(3(2(2(z0))))))))))))))))))
   2(c_1(c_1(c_3(c_2(c_0(c_0(c_0(c_2(c_1(c_0(c_2(c_2(c_3(c_2(c_3(c_2(c_0(z0)))))))))))))))))) -> 2(0(0(2(0(2(2(1(2(1(2(3(0(3(2(3(1(0(z0))))))))))))))))))
   3(z0) -> c_3(z0)
   3(c_3(c_1(c_2(c_1(c_3(c_2(c_2(c_1(c_2(c_1(c_2(c_2(c_0(c_3(c_2(c_1(c_0(z0)))))))))))))))))) -> 3(0(2(1(2(1(2(2(3(1(2(0(2(1(1(2(3(3(z0))))))))))))))))))
   3(c_3(c_0(c_2(c_0(c_1(c_3(c_1(c_0(c_2(c_2(c_2(c_2(c_0(c_3(c_3(c_1(c_0(z0)))))))))))))))))) -> 3(3(2(0(3(1(0(2(1(2(3(0(1(0(2(3(2(0(z0))))))))))))))))))
   3(c_1(c_0(c_2(c_1(c_0(c_1(c_0(c_1(c_0(c_2(c_2(c_0(c_2(c_3(c_3(c_2(c_2(z0)))))))))))))))))) -> 0(3(0(0(0(2(3(2(1(3(0(2(2(1(1(1(2(2(z0))))))))))))))))))
   3(c_0(c_1(c_0(c_2(c_3(c_2(c_0(c_1(c_0(c_1(c_2(c_3(c_1(c_2(c_0(c_1(c_2(z0)))))))))))))))))) -> 3(0(1(1(1(1(2(2(3(0(1(2(0(3(0(2(0(2(z0))))))))))))))))))
   3(c_2(c_0(c_3(c_0(c_1(c_1(c_0(c_2(c_3(c_0(c_3(c_0(c_0(c_1(c_0(c_2(c_0(z0)))))))))))))))))) -> 3(2(0(0(1(1(1(0(0(3(3(2(3(0(0(0(2(0(z0))))))))))))))))))
   3(c_2(c_2(c_0(c_2(c_3(c_0(c_1(c_0(c_3(c_1(c_3(c_3(c_1(c_3(c_1(c_2(c_3(z0)))))))))))))))))) -> 3(2(0(3(1(2(0(3(3(1(1(1(0(2(3(2(3(3(z0))))))))))))))))))
   3(c_0(c_3(c_0(c_3(c_2(c_2(c_3(c_2(c_1(c_0(c_2(c_3(c_1(c_2(c_3(c_3(c_0(z0)))))))))))))))))) -> 3(1(2(1(2(3(2(0(2(3(2(0(0(3(3(3(3(0(z0))))))))))))))))))
   3(c_1(c_1(c_0(c_1(c_0(c_3(c_1(c_1(c_2(c_1(c_3(c_0(c_3(c_3(c_1(c_0(c_3(z0)))))))))))))))))) -> 3(1(1(1(3(1(1(1(0(3(0(0(1(2(3(3(0(3(z0))))))))))))))))))
   3(c_0(c_1(c_0(c_0(c_2(c_1(c_0(c_1(c_3(c_2(c_1(c_1(c_3(c_3(c_0(c_1(c_1(z0)))))))))))))))))) -> 3(0(0(2(3(1(1(1(0(1(3(0(1(0(3(2(1(1(z0))))))))))))))))))
   3(c_2(c_3(c_2(c_2(c_2(c_0(c_2(c_3(c_0(c_1(c_2(c_3(c_0(c_1(c_1(c_0(c_2(z0)))))))))))))))))) -> 3(2(2(3(3(0(3(1(2(2(0(1(0(0(2(2(1(2(z0))))))))))))))))))
   3(c_0(c_1(c_0(c_0(c_0(c_0(c_3(c_3(c_2(c_0(c_0(c_1(c_0(c_0(c_2(c_2(c_2(z0)))))))))))))))))) -> 0(2(0(3(0(0(2(0(3(3(0(0(0(2(1(0(1(2(z0))))))))))))))))))
   3(c_0(c_0(c_1(c_3(c_1(c_0(c_2(c_3(c_3(c_1(c_3(c_3(c_3(c_3(c_2(c_1(c_0(z0)))))))))))))))))) -> 3(0(3(1(1(2(2(1(3(0(3(3(0(3(3(3(1(0(z0))))))))))))))))))
   3(c_2(c_2(c_1(c_3(c_1(c_2(c_2(c_3(c_3(c_0(c_2(c_1(c_0(c_1(c_3(c_2(c_1(z0)))))))))))))))))) -> 3(2(3(1(1(2(3(0(2(1(3(1(1(2(3(0(2(2(z0))))))))))))))))))
   3(c_2(c_2(c_2(c_2(c_2(c_1(c_0(c_0(c_1(c_3(c_2(c_3(c_1(c_3(c_3(c_2(c_1(z0)))))))))))))))))) -> 3(2(3(1(0(2(2(2(1(3(3(2(1(0(2(2(3(1(z0))))))))))))))))))
   3(c_1(c_2(c_2(c_3(c_1(c_0(c_1(c_1(c_1(c_1(c_3(c_2(c_1(c_1(c_1(c_3(c_1(z0)))))))))))))))))) -> 3(1(1(2(2(3(1(1(0(1(2(1(1(3(1(1(3(1(z0))))))))))))))))))
   3(c_3(c_1(c_3(c_3(c_2(c_1(c_3(c_2(c_3(c_3(c_2(c_3(c_1(c_3(c_2(c_3(c_1(z0)))))))))))))))))) -> 3(1(3(1(2(2(3(3(3(3(3(3(3(2(2(1(3(1(z0))))))))))))))))))
   3(c_0(c_0(c_1(c_3(c_2(c_2(c_1(c_3(c_3(c_0(c_1(c_2(c_1(c_0(c_3(c_1(c_2(z0)))))))))))))))))) -> 3(0(1(1(3(3(0(2(3(1(2(1(3(0(2(0(1(2(z0))))))))))))))))))
   3(c_2(c_1(c_0(c_1(c_0(c_1(c_3(c_0(c_1(c_2(c_3(c_0(c_0(c_1(c_3(c_0(c_1(z0)))))))))))))))))) -> 3(0(0(3(0(3(3(0(0(1(1(0(1(2(1(2(1(1(z0))))))))))))))))))
   3(c_0(c_1(c_0(c_2(c_1(c_0(c_0(c_0(c_0(c_1(c_1(c_3(c_2(c_2(c_3(c_0(c_1(z0)))))))))))))))))) -> 3(0(0(3(0(3(2(1(1(0(0(0(2(1(1(1(0(2(z0))))))))))))))))))
   3(c_3(c_2(c_2(c_3(c_0(c_1(c_3(c_3(c_3(c_0(c_0(c_0(c_2(c_0(c_2(c_3(c_0(z0)))))))))))))))))) -> 3(3(3(0(3(2(0(2(3(0(2(2(0(1(3(0(3(0(z0))))))))))))))))))
   3(c_2(c_0(c_1(c_2(c_3(c_2(c_2(c_1(c_3(c_0(c_3(c_3(c_1(c_3(c_3(c_2(c_2(z0)))))))))))))))))) -> 3(2(0(1(2(0(1(3(3(2(3(3(3(3(1(2(2(2(z0))))))))))))))))))
   3(c_1(c_0(c_3(c_2(c_1(c_0(c_3(c_0(c_2(c_3(c_2(c_3(c_0(c_1(c_3(c_3(c_2(z0)))))))))))))))))) -> 3(1(0(3(1(3(3(3(0(2(3(0(3(2(2(0(1(2(z0))))))))))))))))))
   3(c_3(c_1(c_3(c_0(c_2(c_3(c_3(c_3(c_1(c_0(c_0(c_2(c_2(c_0(c_2(c_0(c_1(z0)))))))))))))))))) -> 3(0(0(2(0(0(3(0(3(3(2(1(2(1(2(3(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_2(c_0(c_3(c_2(c_1(c_0(z0)))))))))))))))))) -> 3(3(1(0(0(2(1(1(1(2(3(1(1(2(0(0(3(0(z0))))))))))))))))))
   3(c_2(c_2(c_2(c_2(c_3(c_3(c_1(c_3(c_1(c_1(c_3(c_3(c_1(c_2(c_2(c_3(c_2(z0)))))))))))))))))) -> 3(2(3(2(3(1(2(3(1(2(3(3(2(3(2(1(1(2(z0))))))))))))))))))
Tuples:
   ENCARG(cons_0(z0)) -> c(0'(encArg(z0)), ENCARG(z0))
   ENCARG(cons_1(z0)) -> c1(1'(encArg(z0)), ENCARG(z0))
   ENCARG(cons_2(z0)) -> c2(2'(encArg(z0)), ENCARG(z0))
   ENCARG(cons_3(z0)) -> c3(3'(encArg(z0)), ENCARG(z0))
   ENCODE_0(z0) -> c4(0'(encArg(z0)), ENCARG(z0))
   ENCODE_1(z0) -> c5(1'(encArg(z0)), ENCARG(z0))
   ENCODE_3(z0) -> c6(3'(encArg(z0)), ENCARG(z0))
   ENCODE_2(z0) -> c7(2'(encArg(z0)), ENCARG(z0))
   0'(c_2(c_3(c_3(c_2(c_1(c_3(c_0(c_1(c_3(c_1(c_3(c_3(c_0(c_2(c_1(c_0(c_1(z0)))))))))))))))))) -> c9(0'(2(3(3(0(3(1(0(2(3(1(0(3(3(2(1(1(1(z0)))))))))))))))))), 2'(3(3(0(3(1(0(2(3(1(0(3(3(2(1(1(1(z0))))))))))))))))), 3'(3(0(3(1(0(2(3(1(0(3(3(2(1(1(1(z0)))))))))))))))), 3'(0(3(1(0(2(3(1(0(3(3(2(1(1(1(z0))))))))))))))), 0'(3(1(0(2(3(1(0(3(3(2(1(1(1(z0)))))))))))))), 3'(1(0(2(3(1(0(3(3(2(1(1(1(z0))))))))))))), 1'(0(2(3(1(0(3(3(2(1(1(1(z0)))))))))))), 0'(2(3(1(0(3(3(2(1(1(1(z0))))))))))), 2'(3(1(0(3(3(2(1(1(1(z0)))))))))), 3'(1(0(3(3(2(1(1(1(z0))))))))), 1'(0(3(3(2(1(1(1(z0)))))))), 0'(3(3(2(1(1(1(z0))))))), 3'(3(2(1(1(1(z0)))))), 3'(2(1(1(1(z0))))), 2'(1(1(1(z0)))), 1'(1(1(z0))), 1'(1(z0)), 1'(z0))
   0'(c_3(c_1(c_0(c_2(c_2(c_1(c_0(c_1(c_1(c_0(c_0(c_3(c_1(c_2(c_2(c_3(c_0(z0)))))))))))))))))) -> c10(0'(3(1(1(0(3(2(0(2(1(2(2(0(3(1(1(0(0(z0)))))))))))))))))), 3'(1(1(0(3(2(0(2(1(2(2(0(3(1(1(0(0(z0))))))))))))))))), 1'(1(0(3(2(0(2(1(2(2(0(3(1(1(0(0(z0)))))))))))))))), 1'(0(3(2(0(2(1(2(2(0(3(1(1(0(0(z0))))))))))))))), 0'(3(2(0(2(1(2(2(0(3(1(1(0(0(z0)))))))))))))), 3'(2(0(2(1(2(2(0(3(1(1(0(0(z0))))))))))))), 2'(0(2(1(2(2(0(3(1(1(0(0(z0)))))))))))), 0'(2(1(2(2(0(3(1(1(0(0(z0))))))))))), 2'(1(2(2(0(3(1(1(0(0(z0)))))))))), 1'(2(2(0(3(1(1(0(0(z0))))))))), 2'(2(0(3(1(1(0(0(z0)))))))), 2'(0(3(1(1(0(0(z0))))))), 0'(3(1(1(0(0(z0)))))), 3'(1(1(0(0(z0))))), 1'(1(0(0(z0)))), 1'(0(0(z0))), 0'(0(z0)), 0'(z0))
   0'(c_1(c_0(c_3(c_2(c_2(c_3(c_2(c_0(c_1(c_1(c_1(c_1(c_0(c_1(c_0(c_1(c_1(z0)))))))))))))))))) -> c11(1'(2(3(1(1(0(0(1(1(3(0(0(2(0(2(1(1(1(z0)))))))))))))))))), 2'(3(1(1(0(0(1(1(3(0(0(2(0(2(1(1(1(z0))))))))))))))))), 3'(1(1(0(0(1(1(3(0(0(2(0(2(1(1(1(z0)))))))))))))))), 1'(1(0(0(1(1(3(0(0(2(0(2(1(1(1(z0))))))))))))))), 1'(0(0(1(1(3(0(0(2(0(2(1(1(1(z0)))))))))))))), 0'(0(1(1(3(0(0(2(0(2(1(1(1(z0))))))))))))), 0'(1(1(3(0(0(2(0(2(1(1(1(z0)))))))))))), 1'(1(3(0(0(2(0(2(1(1(1(z0))))))))))), 1'(3(0(0(2(0(2(1(1(1(z0)))))))))), 3'(0(0(2(0(2(1(1(1(z0))))))))), 0'(0(2(0(2(1(1(1(z0)))))))), 0'(2(0(2(1(1(1(z0))))))), 2'(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))
   0'(c_2(c_0(c_2(c_2(c_1(c_1(c_0(c_2(c_0(c_0(c_0(c_1(c_0(c_3(c_0(c_2(c_0(z0)))))))))))))))))) -> c12(0'(2(1(1(1(0(2(0(2(0(0(0(0(3(2(0(2(0(z0)))))))))))))))))), 2'(1(1(1(0(2(0(2(0(0(0(0(3(2(0(2(0(z0))))))))))))))))), 1'(1(1(0(2(0(2(0(0(0(0(3(2(0(2(0(z0)))))))))))))))), 1'(1(0(2(0(2(0(0(0(0(3(2(0(2(0(z0))))))))))))))), 1'(0(2(0(2(0(0(0(0(3(2(0(2(0(z0)))))))))))))), 0'(2(0(2(0(0(0(0(3(2(0(2(0(z0))))))))))))), 2'(0(2(0(0(0(0(3(2(0(2(0(z0)))))))))))), 0'(2(0(0(0(0(3(2(0(2(0(z0))))))))))), 2'(0(0(0(0(3(2(0(2(0(z0)))))))))), 0'(0(0(0(3(2(0(2(0(z0))))))))), 0'(0(0(3(2(0(2(0(z0)))))))), 0'(0(3(2(0(2(0(z0))))))), 0'(3(2(0(2(0(z0)))))), 3'(2(0(2(0(z0))))), 2'(0(2(0(z0)))), 0'(2(0(z0))), 2'(0(z0)), 0'(z0))
   0'(c_0(c_2(c_0(c_0(c_0(c_1(c_1(c_0(c_2(c_2(c_3(c_3(c_0(c_0(c_3(c_0(c_2(z0)))))))))))))))))) -> c13(0'(2(0(0(3(1(1(2(3(0(2(0(0(3(0(0(0(2(z0)))))))))))))))))), 2'(0(0(3(1(1(2(3(0(2(0(0(3(0(0(0(2(z0))))))))))))))))), 0'(0(3(1(1(2(3(0(2(0(0(3(0(0(0(2(z0)))))))))))))))), 0'(3(1(1(2(3(0(2(0(0(3(0(0(0(2(z0))))))))))))))), 3'(1(1(2(3(0(2(0(0(3(0(0(0(2(z0)))))))))))))), 1'(1(2(3(0(2(0(0(3(0(0(0(2(z0))))))))))))), 1'(2(3(0(2(0(0(3(0(0(0(2(z0)))))))))))), 2'(3(0(2(0(0(3(0(0(0(2(z0))))))))))), 3'(0(2(0(0(3(0(0(0(2(z0)))))))))), 0'(2(0(0(3(0(0(0(2(z0))))))))), 2'(0(0(3(0(0(0(2(z0)))))))), 0'(0(3(0(0(0(2(z0))))))), 0'(3(0(0(0(2(z0)))))), 3'(0(0(0(2(z0))))), 0'(0(0(2(z0)))), 0'(0(2(z0))), 0'(2(z0)), 2'(z0))
   0'(c_0(c_3(c_2(c_0(c_0(c_1(c_0(c_1(c_3(c_2(c_3(c_2(c_2(c_2(c_0(c_1(c_1(z0)))))))))))))))))) -> c14(2'(0(0(1(3(1(2(1(2(0(3(2(0(0(3(0(1(2(z0)))))))))))))))))), 0'(0(1(3(1(2(1(2(0(3(2(0(0(3(0(1(2(z0))))))))))))))))), 0'(1(3(1(2(1(2(0(3(2(0(0(3(0(1(2(z0)))))))))))))))), 1'(3(1(2(1(2(0(3(2(0(0(3(0(1(2(z0))))))))))))))), 3'(1(2(1(2(0(3(2(0(0(3(0(1(2(z0)))))))))))))), 1'(2(1(2(0(3(2(0(0(3(0(1(2(z0))))))))))))), 2'(1(2(0(3(2(0(0(3(0(1(2(z0)))))))))))), 1'(2(0(3(2(0(0(3(0(1(2(z0))))))))))), 2'(0(3(2(0(0(3(0(1(2(z0)))))))))), 0'(3(2(0(0(3(0(1(2(z0))))))))), 3'(2(0(0(3(0(1(2(z0)))))))), 2'(0(0(3(0(1(2(z0))))))), 0'(0(3(0(1(2(z0)))))), 0'(3(0(1(2(z0))))), 3'(0(1(2(z0)))), 0'(1(2(z0))), 1'(2(z0)), 2'(z0))
   0'(c_2(c_2(c_2(c_2(c_2(c_1(c_3(c_1(c_0(c_1(c_2(c_3(c_2(c_0(c_1(c_1(c_2(z0)))))))))))))))))) -> c15(2'(1(2(1(2(3(2(1(2(1(2(0(0(2(0(1(3(2(z0)))))))))))))))))), 1'(2(1(2(3(2(1(2(1(2(0(0(2(0(1(3(2(z0))))))))))))))))), 2'(1(2(3(2(1(2(1(2(0(0(2(0(1(3(2(z0)))))))))))))))), 1'(2(3(2(1(2(1(2(0(0(2(0(1(3(2(z0))))))))))))))), 2'(3(2(1(2(1(2(0(0(2(0(1(3(2(z0)))))))))))))), 3'(2(1(2(1(2(0(0(2(0(1(3(2(z0))))))))))))), 2'(1(2(1(2(0(0(2(0(1(3(2(z0)))))))))))), 1'(2(1(2(0(0(2(0(1(3(2(z0))))))))))), 2'(1(2(0(0(2(0(1(3(2(z0)))))))))), 1'(2(0(0(2(0(1(3(2(z0))))))))), 2'(0(0(2(0(1(3(2(z0)))))))), 0'(0(2(0(1(3(2(z0))))))), 0'(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))
   0'(c_0(c_2(c_1(c_0(c_0(c_1(c_0(c_1(c_0(c_3(c_1(c_3(c_3(c_2(c_0(c_1(c_1(z0)))))))))))))))))) -> c16(3'(0(0(2(0(1(1(0(2(0(3(1(0(1(0(3(1(1(z0)))))))))))))))))), 0'(0(2(0(1(1(0(2(0(3(1(0(1(0(3(1(1(z0))))))))))))))))), 0'(2(0(1(1(0(2(0(3(1(0(1(0(3(1(1(z0)))))))))))))))), 2'(0(1(1(0(2(0(3(1(0(1(0(3(1(1(z0))))))))))))))), 0'(1(1(0(2(0(3(1(0(1(0(3(1(1(z0)))))))))))))), 1'(1(0(2(0(3(1(0(1(0(3(1(1(z0))))))))))))), 1'(0(2(0(3(1(0(1(0(3(1(1(z0)))))))))))), 0'(2(0(3(1(0(1(0(3(1(1(z0))))))))))), 2'(0(3(1(0(1(0(3(1(1(z0)))))))))), 0'(3(1(0(1(0(3(1(1(z0))))))))), 3'(1(0(1(0(3(1(1(z0)))))))), 1'(0(1(0(3(1(1(z0))))))), 0'(1(0(3(1(1(z0)))))), 1'(0(3(1(1(z0))))), 0'(3(1(1(z0)))), 3'(1(1(z0))), 1'(1(z0)), 1'(z0))
   0'(c_0(c_0(c_1(c_3(c_2(c_2(c_3(c_0(c_2(c_2(c_0(c_1(c_0(c_0(c_0(c_1(c_2(z0)))))))))))))))))) -> c17(0'(3(0(0(3(0(2(1(2(1(0(0(1(2(0(2(0(2(z0)))))))))))))))))), 3'(0(0(3(0(2(1(2(1(0(0(1(2(0(2(0(2(z0))))))))))))))))), 0'(0(3(0(2(1(2(1(0(0(1(2(0(2(0(2(z0)))))))))))))))), 0'(3(0(2(1(2(1(0(0(1(2(0(2(0(2(z0))))))))))))))), 3'(0(2(1(2(1(0(0(1(2(0(2(0(2(z0)))))))))))))), 0'(2(1(2(1(0(0(1(2(0(2(0(2(z0))))))))))))), 2'(1(2(1(0(0(1(2(0(2(0(2(z0)))))))))))), 1'(2(1(0(0(1(2(0(2(0(2(z0))))))))))), 2'(1(0(0(1(2(0(2(0(2(z0)))))))))), 1'(0(0(1(2(0(2(0(2(z0))))))))), 0'(0(1(2(0(2(0(2(z0)))))))), 0'(1(2(0(2(0(2(z0))))))), 1'(2(0(2(0(2(z0)))))), 2'(0(2(0(2(z0))))), 0'(2(0(2(z0)))), 2'(0(2(z0))), 0'(2(z0)), 2'(z0))
   0'(c_2(c_2(c_1(c_3(c_0(c_0(c_1(c_3(c_0(c_1(c_0(c_3(c_3(c_2(c_0(c_1(c_3(z0)))))))))))))))))) -> c18(3'(0(1(3(3(0(0(0(0(2(1(2(0(3(1(2(1(3(z0)))))))))))))))))), 0'(1(3(3(0(0(0(0(2(1(2(0(3(1(2(1(3(z0))))))))))))))))), 1'(3(3(0(0(0(0(2(1(2(0(3(1(2(1(3(z0)))))))))))))))), 3'(3(0(0(0(0(2(1(2(0(3(1(2(1(3(z0))))))))))))))), 3'(0(0(0(0(2(1(2(0(3(1(2(1(3(z0)))))))))))))), 0'(0(0(0(2(1(2(0(3(1(2(1(3(z0))))))))))))), 0'(0(0(2(1(2(0(3(1(2(1(3(z0)))))))))))), 0'(0(2(1(2(0(3(1(2(1(3(z0))))))))))), 0'(2(1(2(0(3(1(2(1(3(z0)))))))))), 2'(1(2(0(3(1(2(1(3(z0))))))))), 1'(2(0(3(1(2(1(3(z0)))))))), 2'(0(3(1(2(1(3(z0))))))), 0'(3(1(2(1(3(z0)))))), 3'(1(2(1(3(z0))))), 1'(2(1(3(z0)))), 2'(1(3(z0))), 1'(3(z0)), 3'(z0))
   0'(c_2(c_3(c_1(c_3(c_3(c_1(c_3(c_2(c_3(c_2(c_2(c_1(c_0(c_1(c_1(c_1(c_1(z0)))))))))))))))))) -> c19(1'(0(3(3(3(3(1(1(2(2(3(1(2(1(2(0(1(1(z0)))))))))))))))))), 0'(3(3(3(3(1(1(2(2(3(1(2(1(2(0(1(1(z0))))))))))))))))), 3'(3(3(3(1(1(2(2(3(1(2(1(2(0(1(1(z0)))))))))))))))), 3'(3(3(1(1(2(2(3(1(2(1(2(0(1(1(z0))))))))))))))), 3'(3(1(1(2(2(3(1(2(1(2(0(1(1(z0)))))))))))))), 3'(1(1(2(2(3(1(2(1(2(0(1(1(z0))))))))))))), 1'(1(2(2(3(1(2(1(2(0(1(1(z0)))))))))))), 1'(2(2(3(1(2(1(2(0(1(1(z0))))))))))), 2'(2(3(1(2(1(2(0(1(1(z0)))))))))), 2'(3(1(2(1(2(0(1(1(z0))))))))), 3'(1(2(1(2(0(1(1(z0)))))))), 1'(2(1(2(0(1(1(z0))))))), 2'(1(2(0(1(1(z0)))))), 1'(2(0(1(1(z0))))), 2'(0(1(1(z0)))), 0'(1(1(z0))), 1'(1(z0)), 1'(z0))
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   3'(c_3(c_0(c_1(c_0(c_3(c_2(c_0(c_1(c_1(c_1(c_1(c_2(c_0(c_3(c_2(c_1(c_0(z0)))))))))))))))))) -> c90(3'(3(1(0(0(2(1(1(1(2(3(1(1(2(0(0(3(0(z0)))))))))))))))))), 3'(1(0(0(2(1(1(1(2(3(1(1(2(0(0(3(0(z0))))))))))))))))), 1'(0(0(2(1(1(1(2(3(1(1(2(0(0(3(0(z0)))))))))))))))), 0'(0(2(1(1(1(2(3(1(1(2(0(0(3(0(z0))))))))))))))), 0'(2(1(1(1(2(3(1(1(2(0(0(3(0(z0)))))))))))))), 2'(1(1(1(2(3(1(1(2(0(0(3(0(z0))))))))))))), 1'(1(1(2(3(1(1(2(0(0(3(0(z0)))))))))))), 1'(1(2(3(1(1(2(0(0(3(0(z0))))))))))), 1'(2(3(1(1(2(0(0(3(0(z0)))))))))), 2'(3(1(1(2(0(0(3(0(z0))))))))), 3'(1(1(2(0(0(3(0(z0)))))))), 1'(1(2(0(0(3(0(z0))))))), 1'(2(0(0(3(0(z0)))))), 2'(0(0(3(0(z0))))), 0'(0(3(0(z0)))), 0'(3(0(z0))), 3'(0(z0)), 0'(z0))
   3'(c_2(c_2(c_2(c_2(c_3(c_3(c_1(c_3(c_1(c_1(c_3(c_3(c_1(c_2(c_2(c_3(c_2(z0)))))))))))))))))) -> c91(3'(2(3(2(3(1(2(3(1(2(3(3(2(3(2(1(1(2(z0)))))))))))))))))), 2'(3(2(3(1(2(3(1(2(3(3(2(3(2(1(1(2(z0))))))))))))))))), 3'(2(3(1(2(3(1(2(3(3(2(3(2(1(1(2(z0)))))))))))))))), 2'(3(1(2(3(1(2(3(3(2(3(2(1(1(2(z0))))))))))))))), 3'(1(2(3(1(2(3(3(2(3(2(1(1(2(z0)))))))))))))), 1'(2(3(1(2(3(3(2(3(2(1(1(2(z0))))))))))))), 2'(3(1(2(3(3(2(3(2(1(1(2(z0)))))))))))), 3'(1(2(3(3(2(3(2(1(1(2(z0))))))))))), 1'(2(3(3(2(3(2(1(1(2(z0)))))))))), 2'(3(3(2(3(2(1(1(2(z0))))))))), 3'(3(2(3(2(1(1(2(z0)))))))), 3'(2(3(2(1(1(2(z0))))))), 2'(3(2(1(1(2(z0)))))), 3'(2(1(1(2(z0))))), 2'(1(1(2(z0)))), 1'(1(2(z0))), 1'(2(z0)), 2'(z0))
S tuples:
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   0'(c_3(c_1(c_0(c_2(c_2(c_1(c_0(c_1(c_1(c_0(c_0(c_3(c_1(c_2(c_2(c_3(c_0(z0)))))))))))))))))) -> c10(0'(3(1(1(0(3(2(0(2(1(2(2(0(3(1(1(0(0(z0)))))))))))))))))), 3'(1(1(0(3(2(0(2(1(2(2(0(3(1(1(0(0(z0))))))))))))))))), 1'(1(0(3(2(0(2(1(2(2(0(3(1(1(0(0(z0)))))))))))))))), 1'(0(3(2(0(2(1(2(2(0(3(1(1(0(0(z0))))))))))))))), 0'(3(2(0(2(1(2(2(0(3(1(1(0(0(z0)))))))))))))), 3'(2(0(2(1(2(2(0(3(1(1(0(0(z0))))))))))))), 2'(0(2(1(2(2(0(3(1(1(0(0(z0)))))))))))), 0'(2(1(2(2(0(3(1(1(0(0(z0))))))))))), 2'(1(2(2(0(3(1(1(0(0(z0)))))))))), 1'(2(2(0(3(1(1(0(0(z0))))))))), 2'(2(0(3(1(1(0(0(z0)))))))), 2'(0(3(1(1(0(0(z0))))))), 0'(3(1(1(0(0(z0)))))), 3'(1(1(0(0(z0))))), 1'(1(0(0(z0)))), 1'(0(0(z0))), 0'(0(z0)), 0'(z0))
   0'(c_1(c_0(c_3(c_2(c_2(c_3(c_2(c_0(c_1(c_1(c_1(c_1(c_0(c_1(c_0(c_1(c_1(z0)))))))))))))))))) -> c11(1'(2(3(1(1(0(0(1(1(3(0(0(2(0(2(1(1(1(z0)))))))))))))))))), 2'(3(1(1(0(0(1(1(3(0(0(2(0(2(1(1(1(z0))))))))))))))))), 3'(1(1(0(0(1(1(3(0(0(2(0(2(1(1(1(z0)))))))))))))))), 1'(1(0(0(1(1(3(0(0(2(0(2(1(1(1(z0))))))))))))))), 1'(0(0(1(1(3(0(0(2(0(2(1(1(1(z0)))))))))))))), 0'(0(1(1(3(0(0(2(0(2(1(1(1(z0))))))))))))), 0'(1(1(3(0(0(2(0(2(1(1(1(z0)))))))))))), 1'(1(3(0(0(2(0(2(1(1(1(z0))))))))))), 1'(3(0(0(2(0(2(1(1(1(z0)))))))))), 3'(0(0(2(0(2(1(1(1(z0))))))))), 0'(0(2(0(2(1(1(1(z0)))))))), 0'(2(0(2(1(1(1(z0))))))), 2'(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))
   0'(c_2(c_0(c_2(c_2(c_1(c_1(c_0(c_2(c_0(c_0(c_0(c_1(c_0(c_3(c_0(c_2(c_0(z0)))))))))))))))))) -> c12(0'(2(1(1(1(0(2(0(2(0(0(0(0(3(2(0(2(0(z0)))))))))))))))))), 2'(1(1(1(0(2(0(2(0(0(0(0(3(2(0(2(0(z0))))))))))))))))), 1'(1(1(0(2(0(2(0(0(0(0(3(2(0(2(0(z0)))))))))))))))), 1'(1(0(2(0(2(0(0(0(0(3(2(0(2(0(z0))))))))))))))), 1'(0(2(0(2(0(0(0(0(3(2(0(2(0(z0)))))))))))))), 0'(2(0(2(0(0(0(0(3(2(0(2(0(z0))))))))))))), 2'(0(2(0(0(0(0(3(2(0(2(0(z0)))))))))))), 0'(2(0(0(0(0(3(2(0(2(0(z0))))))))))), 2'(0(0(0(0(3(2(0(2(0(z0)))))))))), 0'(0(0(0(3(2(0(2(0(z0))))))))), 0'(0(0(3(2(0(2(0(z0)))))))), 0'(0(3(2(0(2(0(z0))))))), 0'(3(2(0(2(0(z0)))))), 3'(2(0(2(0(z0))))), 2'(0(2(0(z0)))), 0'(2(0(z0))), 2'(0(z0)), 0'(z0))
   0'(c_0(c_2(c_0(c_0(c_0(c_1(c_1(c_0(c_2(c_2(c_3(c_3(c_0(c_0(c_3(c_0(c_2(z0)))))))))))))))))) -> c13(0'(2(0(0(3(1(1(2(3(0(2(0(0(3(0(0(0(2(z0)))))))))))))))))), 2'(0(0(3(1(1(2(3(0(2(0(0(3(0(0(0(2(z0))))))))))))))))), 0'(0(3(1(1(2(3(0(2(0(0(3(0(0(0(2(z0)))))))))))))))), 0'(3(1(1(2(3(0(2(0(0(3(0(0(0(2(z0))))))))))))))), 3'(1(1(2(3(0(2(0(0(3(0(0(0(2(z0)))))))))))))), 1'(1(2(3(0(2(0(0(3(0(0(0(2(z0))))))))))))), 1'(2(3(0(2(0(0(3(0(0(0(2(z0)))))))))))), 2'(3(0(2(0(0(3(0(0(0(2(z0))))))))))), 3'(0(2(0(0(3(0(0(0(2(z0)))))))))), 0'(2(0(0(3(0(0(0(2(z0))))))))), 2'(0(0(3(0(0(0(2(z0)))))))), 0'(0(3(0(0(0(2(z0))))))), 0'(3(0(0(0(2(z0)))))), 3'(0(0(0(2(z0))))), 0'(0(0(2(z0)))), 0'(0(2(z0))), 0'(2(z0)), 2'(z0))
   0'(c_0(c_3(c_2(c_0(c_0(c_1(c_0(c_1(c_3(c_2(c_3(c_2(c_2(c_2(c_0(c_1(c_1(z0)))))))))))))))))) -> c14(2'(0(0(1(3(1(2(1(2(0(3(2(0(0(3(0(1(2(z0)))))))))))))))))), 0'(0(1(3(1(2(1(2(0(3(2(0(0(3(0(1(2(z0))))))))))))))))), 0'(1(3(1(2(1(2(0(3(2(0(0(3(0(1(2(z0)))))))))))))))), 1'(3(1(2(1(2(0(3(2(0(0(3(0(1(2(z0))))))))))))))), 3'(1(2(1(2(0(3(2(0(0(3(0(1(2(z0)))))))))))))), 1'(2(1(2(0(3(2(0(0(3(0(1(2(z0))))))))))))), 2'(1(2(0(3(2(0(0(3(0(1(2(z0)))))))))))), 1'(2(0(3(2(0(0(3(0(1(2(z0))))))))))), 2'(0(3(2(0(0(3(0(1(2(z0)))))))))), 0'(3(2(0(0(3(0(1(2(z0))))))))), 3'(2(0(0(3(0(1(2(z0)))))))), 2'(0(0(3(0(1(2(z0))))))), 0'(0(3(0(1(2(z0)))))), 0'(3(0(1(2(z0))))), 3'(0(1(2(z0)))), 0'(1(2(z0))), 1'(2(z0)), 2'(z0))
   0'(c_2(c_2(c_2(c_2(c_2(c_1(c_3(c_1(c_0(c_1(c_2(c_3(c_2(c_0(c_1(c_1(c_2(z0)))))))))))))))))) -> c15(2'(1(2(1(2(3(2(1(2(1(2(0(0(2(0(1(3(2(z0)))))))))))))))))), 1'(2(1(2(3(2(1(2(1(2(0(0(2(0(1(3(2(z0))))))))))))))))), 2'(1(2(3(2(1(2(1(2(0(0(2(0(1(3(2(z0)))))))))))))))), 1'(2(3(2(1(2(1(2(0(0(2(0(1(3(2(z0))))))))))))))), 2'(3(2(1(2(1(2(0(0(2(0(1(3(2(z0)))))))))))))), 3'(2(1(2(1(2(0(0(2(0(1(3(2(z0))))))))))))), 2'(1(2(1(2(0(0(2(0(1(3(2(z0)))))))))))), 1'(2(1(2(0(0(2(0(1(3(2(z0))))))))))), 2'(1(2(0(0(2(0(1(3(2(z0)))))))))), 1'(2(0(0(2(0(1(3(2(z0))))))))), 2'(0(0(2(0(1(3(2(z0)))))))), 0'(0(2(0(1(3(2(z0))))))), 0'(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))
   0'(c_0(c_2(c_1(c_0(c_0(c_1(c_0(c_1(c_0(c_3(c_1(c_3(c_3(c_2(c_0(c_1(c_1(z0)))))))))))))))))) -> c16(3'(0(0(2(0(1(1(0(2(0(3(1(0(1(0(3(1(1(z0)))))))))))))))))), 0'(0(2(0(1(1(0(2(0(3(1(0(1(0(3(1(1(z0))))))))))))))))), 0'(2(0(1(1(0(2(0(3(1(0(1(0(3(1(1(z0)))))))))))))))), 2'(0(1(1(0(2(0(3(1(0(1(0(3(1(1(z0))))))))))))))), 0'(1(1(0(2(0(3(1(0(1(0(3(1(1(z0)))))))))))))), 1'(1(0(2(0(3(1(0(1(0(3(1(1(z0))))))))))))), 1'(0(2(0(3(1(0(1(0(3(1(1(z0)))))))))))), 0'(2(0(3(1(0(1(0(3(1(1(z0))))))))))), 2'(0(3(1(0(1(0(3(1(1(z0)))))))))), 0'(3(1(0(1(0(3(1(1(z0))))))))), 3'(1(0(1(0(3(1(1(z0)))))))), 1'(0(1(0(3(1(1(z0))))))), 0'(1(0(3(1(1(z0)))))), 1'(0(3(1(1(z0))))), 0'(3(1(1(z0)))), 3'(1(1(z0))), 1'(1(z0)), 1'(z0))
   0'(c_0(c_0(c_1(c_3(c_2(c_2(c_3(c_0(c_2(c_2(c_0(c_1(c_0(c_0(c_0(c_1(c_2(z0)))))))))))))))))) -> c17(0'(3(0(0(3(0(2(1(2(1(0(0(1(2(0(2(0(2(z0)))))))))))))))))), 3'(0(0(3(0(2(1(2(1(0(0(1(2(0(2(0(2(z0))))))))))))))))), 0'(0(3(0(2(1(2(1(0(0(1(2(0(2(0(2(z0)))))))))))))))), 0'(3(0(2(1(2(1(0(0(1(2(0(2(0(2(z0))))))))))))))), 3'(0(2(1(2(1(0(0(1(2(0(2(0(2(z0)))))))))))))), 0'(2(1(2(1(0(0(1(2(0(2(0(2(z0))))))))))))), 2'(1(2(1(0(0(1(2(0(2(0(2(z0)))))))))))), 1'(2(1(0(0(1(2(0(2(0(2(z0))))))))))), 2'(1(0(0(1(2(0(2(0(2(z0)))))))))), 1'(0(0(1(2(0(2(0(2(z0))))))))), 0'(0(1(2(0(2(0(2(z0)))))))), 0'(1(2(0(2(0(2(z0))))))), 1'(2(0(2(0(2(z0)))))), 2'(0(2(0(2(z0))))), 0'(2(0(2(z0)))), 2'(0(2(z0))), 0'(2(z0)), 2'(z0))
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   3'(c_3(c_2(c_2(c_3(c_0(c_1(c_3(c_3(c_3(c_0(c_0(c_0(c_2(c_0(c_2(c_3(c_0(z0)))))))))))))))))) -> c86(3'(3(3(0(3(2(0(2(3(0(2(2(0(1(3(0(3(0(z0)))))))))))))))))), 3'(3(0(3(2(0(2(3(0(2(2(0(1(3(0(3(0(z0))))))))))))))))), 3'(0(3(2(0(2(3(0(2(2(0(1(3(0(3(0(z0)))))))))))))))), 0'(3(2(0(2(3(0(2(2(0(1(3(0(3(0(z0))))))))))))))), 3'(2(0(2(3(0(2(2(0(1(3(0(3(0(z0)))))))))))))), 2'(0(2(3(0(2(2(0(1(3(0(3(0(z0))))))))))))), 0'(2(3(0(2(2(0(1(3(0(3(0(z0)))))))))))), 2'(3(0(2(2(0(1(3(0(3(0(z0))))))))))), 3'(0(2(2(0(1(3(0(3(0(z0)))))))))), 0'(2(2(0(1(3(0(3(0(z0))))))))), 2'(2(0(1(3(0(3(0(z0)))))))), 2'(0(1(3(0(3(0(z0))))))), 0'(1(3(0(3(0(z0)))))), 1'(3(0(3(0(z0))))), 3'(0(3(0(z0)))), 0'(3(0(z0))), 3'(0(z0)), 0'(z0))
   3'(c_2(c_0(c_1(c_2(c_3(c_2(c_2(c_1(c_3(c_0(c_3(c_3(c_1(c_3(c_3(c_2(c_2(z0)))))))))))))))))) -> c87(3'(2(0(1(2(0(1(3(3(2(3(3(3(3(1(2(2(2(z0)))))))))))))))))), 2'(0(1(2(0(1(3(3(2(3(3(3(3(1(2(2(2(z0))))))))))))))))), 0'(1(2(0(1(3(3(2(3(3(3(3(1(2(2(2(z0)))))))))))))))), 1'(2(0(1(3(3(2(3(3(3(3(1(2(2(2(z0))))))))))))))), 2'(0(1(3(3(2(3(3(3(3(1(2(2(2(z0)))))))))))))), 0'(1(3(3(2(3(3(3(3(1(2(2(2(z0))))))))))))), 1'(3(3(2(3(3(3(3(1(2(2(2(z0)))))))))))), 3'(3(2(3(3(3(3(1(2(2(2(z0))))))))))), 3'(2(3(3(3(3(1(2(2(2(z0)))))))))), 2'(3(3(3(3(1(2(2(2(z0))))))))), 3'(3(3(3(1(2(2(2(z0)))))))), 3'(3(3(1(2(2(2(z0))))))), 3'(3(1(2(2(2(z0)))))), 3'(1(2(2(2(z0))))), 1'(2(2(2(z0)))), 2'(2(2(z0))), 2'(2(z0)), 2'(z0))
   3'(c_1(c_0(c_3(c_2(c_1(c_0(c_3(c_0(c_2(c_3(c_2(c_3(c_0(c_1(c_3(c_3(c_2(z0)))))))))))))))))) -> c88(3'(1(0(3(1(3(3(3(0(2(3(0(3(2(2(0(1(2(z0)))))))))))))))))), 1'(0(3(1(3(3(3(0(2(3(0(3(2(2(0(1(2(z0))))))))))))))))), 0'(3(1(3(3(3(0(2(3(0(3(2(2(0(1(2(z0)))))))))))))))), 3'(1(3(3(3(0(2(3(0(3(2(2(0(1(2(z0))))))))))))))), 1'(3(3(3(0(2(3(0(3(2(2(0(1(2(z0)))))))))))))), 3'(3(3(0(2(3(0(3(2(2(0(1(2(z0))))))))))))), 3'(3(0(2(3(0(3(2(2(0(1(2(z0)))))))))))), 3'(0(2(3(0(3(2(2(0(1(2(z0))))))))))), 0'(2(3(0(3(2(2(0(1(2(z0)))))))))), 2'(3(0(3(2(2(0(1(2(z0))))))))), 3'(0(3(2(2(0(1(2(z0)))))))), 0'(3(2(2(0(1(2(z0))))))), 3'(2(2(0(1(2(z0)))))), 2'(2(0(1(2(z0))))), 2'(0(1(2(z0)))), 0'(1(2(z0))), 1'(2(z0)), 2'(z0))
   3'(c_3(c_1(c_3(c_0(c_2(c_3(c_3(c_3(c_1(c_0(c_0(c_2(c_2(c_0(c_2(c_0(c_1(z0)))))))))))))))))) -> c89(3'(0(0(2(0(0(3(0(3(3(2(1(2(1(2(3(3(1(z0)))))))))))))))))), 0'(0(2(0(0(3(0(3(3(2(1(2(1(2(3(3(1(z0))))))))))))))))), 0'(2(0(0(3(0(3(3(2(1(2(1(2(3(3(1(z0)))))))))))))))), 2'(0(0(3(0(3(3(2(1(2(1(2(3(3(1(z0))))))))))))))), 0'(0(3(0(3(3(2(1(2(1(2(3(3(1(z0)))))))))))))), 0'(3(0(3(3(2(1(2(1(2(3(3(1(z0))))))))))))), 3'(0(3(3(2(1(2(1(2(3(3(1(z0)))))))))))), 0'(3(3(2(1(2(1(2(3(3(1(z0))))))))))), 3'(3(2(1(2(1(2(3(3(1(z0)))))))))), 3'(2(1(2(1(2(3(3(1(z0))))))))), 2'(1(2(1(2(3(3(1(z0)))))))), 1'(2(1(2(3(3(1(z0))))))), 2'(1(2(3(3(1(z0)))))), 1'(2(3(3(1(z0))))), 2'(3(3(1(z0)))), 3'(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_2(c_0(c_3(c_2(c_1(c_0(z0)))))))))))))))))) -> c90(3'(3(1(0(0(2(1(1(1(2(3(1(1(2(0(0(3(0(z0)))))))))))))))))), 3'(1(0(0(2(1(1(1(2(3(1(1(2(0(0(3(0(z0))))))))))))))))), 1'(0(0(2(1(1(1(2(3(1(1(2(0(0(3(0(z0)))))))))))))))), 0'(0(2(1(1(1(2(3(1(1(2(0(0(3(0(z0))))))))))))))), 0'(2(1(1(1(2(3(1(1(2(0(0(3(0(z0)))))))))))))), 2'(1(1(1(2(3(1(1(2(0(0(3(0(z0))))))))))))), 1'(1(1(2(3(1(1(2(0(0(3(0(z0)))))))))))), 1'(1(2(3(1(1(2(0(0(3(0(z0))))))))))), 1'(2(3(1(1(2(0(0(3(0(z0)))))))))), 2'(3(1(1(2(0(0(3(0(z0))))))))), 3'(1(1(2(0(0(3(0(z0)))))))), 1'(1(2(0(0(3(0(z0))))))), 1'(2(0(0(3(0(z0)))))), 2'(0(0(3(0(z0))))), 0'(0(3(0(z0)))), 0'(3(0(z0))), 3'(0(z0)), 0'(z0))
   3'(c_2(c_2(c_2(c_2(c_3(c_3(c_1(c_3(c_1(c_1(c_3(c_3(c_1(c_2(c_2(c_3(c_2(z0)))))))))))))))))) -> c91(3'(2(3(2(3(1(2(3(1(2(3(3(2(3(2(1(1(2(z0)))))))))))))))))), 2'(3(2(3(1(2(3(1(2(3(3(2(3(2(1(1(2(z0))))))))))))))))), 3'(2(3(1(2(3(1(2(3(3(2(3(2(1(1(2(z0)))))))))))))))), 2'(3(1(2(3(1(2(3(3(2(3(2(1(1(2(z0))))))))))))))), 3'(1(2(3(1(2(3(3(2(3(2(1(1(2(z0)))))))))))))), 1'(2(3(1(2(3(3(2(3(2(1(1(2(z0))))))))))))), 2'(3(1(2(3(3(2(3(2(1(1(2(z0)))))))))))), 3'(1(2(3(3(2(3(2(1(1(2(z0))))))))))), 1'(2(3(3(2(3(2(1(1(2(z0)))))))))), 2'(3(3(2(3(2(1(1(2(z0))))))))), 3'(3(2(3(2(1(1(2(z0)))))))), 3'(2(3(2(1(1(2(z0))))))), 2'(3(2(1(1(2(z0)))))), 3'(2(1(1(2(z0))))), 2'(1(1(2(z0)))), 1'(1(2(z0))), 1'(2(z0)), 2'(z0))
K tuples:none
Defined Rule Symbols:   3_1, 0_1, 2_1, 1_1, encArg_1, encode_0_1, encode_1_1, encode_3_1, encode_2_1

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

Compound Symbols:   c_2, c1_2, c2_2, c3_2, c4_2, c5_2, c6_2, c7_2, c9_18, c10_18, c11_18, c12_18, c13_18, c14_18, c15_18, c16_18, c17_18, c18_18, c19_18, c20_18, c21_18, c22_18, c23_18, c24_18, c25_18, c26_18, c27_18, c28_18, c29_18, c30_18, c31_18, c32_18, c33_18, c35_18, c36_18, c37_18, c38_18, c39_18, c40_18, c41_18, c42_18, c43_18, c44_18, c45_18, c46_18, c47_18, c48_18, c49_18, c50_18, c51_18, c52_18, c53_18, c54_18, c55_18, c57_18, c58_18, c59_18, c60_18, c61_18, c62_18, c63_18, c64_18, c65_18, c67_18, c68_18, c69_18, c70_18, c71_18, c72_18, c73_18, c74_18, c75_18, c76_18, c77_18, c78_18, c79_18, c80_18, c81_18, c82_18, c83_18, c84_18, c85_18, c86_18, c87_18, c88_18, c89_18, c90_18, c91_18


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

(41) CdtGraphSplitRhsProof (BOTH BOUNDS(ID, ID))
Split RHS of tuples not part of any SCC
----------------------------------------

(42)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(cons_0(z0)) -> 0(encArg(z0))
   encArg(cons_1(z0)) -> 1(encArg(z0))
   encArg(cons_2(z0)) -> 2(encArg(z0))
   encArg(cons_3(z0)) -> 3(encArg(z0))
   encode_0(z0) -> 0(encArg(z0))
   encode_1(z0) -> 1(encArg(z0))
   encode_3(z0) -> 3(encArg(z0))
   encode_2(z0) -> 2(encArg(z0))
   0(z0) -> c_0(z0)
   0(c_2(c_3(c_3(c_2(c_1(c_3(c_0(c_1(c_3(c_1(c_3(c_3(c_0(c_2(c_1(c_0(c_1(z0)))))))))))))))))) -> 0(2(3(3(0(3(1(0(2(3(1(0(3(3(2(1(1(1(z0))))))))))))))))))
   0(c_3(c_1(c_0(c_2(c_2(c_1(c_0(c_1(c_1(c_0(c_0(c_3(c_1(c_2(c_2(c_3(c_0(z0)))))))))))))))))) -> 0(3(1(1(0(3(2(0(2(1(2(2(0(3(1(1(0(0(z0))))))))))))))))))
   0(c_1(c_0(c_3(c_2(c_2(c_3(c_2(c_0(c_1(c_1(c_1(c_1(c_0(c_1(c_0(c_1(c_1(z0)))))))))))))))))) -> 1(2(3(1(1(0(0(1(1(3(0(0(2(0(2(1(1(1(z0))))))))))))))))))
   0(c_2(c_0(c_2(c_2(c_1(c_1(c_0(c_2(c_0(c_0(c_0(c_1(c_0(c_3(c_0(c_2(c_0(z0)))))))))))))))))) -> 0(2(1(1(1(0(2(0(2(0(0(0(0(3(2(0(2(0(z0))))))))))))))))))
   0(c_0(c_2(c_0(c_0(c_0(c_1(c_1(c_0(c_2(c_2(c_3(c_3(c_0(c_0(c_3(c_0(c_2(z0)))))))))))))))))) -> 0(2(0(0(3(1(1(2(3(0(2(0(0(3(0(0(0(2(z0))))))))))))))))))
   0(c_0(c_3(c_2(c_0(c_0(c_1(c_0(c_1(c_3(c_2(c_3(c_2(c_2(c_2(c_0(c_1(c_1(z0)))))))))))))))))) -> 2(0(0(1(3(1(2(1(2(0(3(2(0(0(3(0(1(2(z0))))))))))))))))))
   0(c_2(c_2(c_2(c_2(c_2(c_1(c_3(c_1(c_0(c_1(c_2(c_3(c_2(c_0(c_1(c_1(c_2(z0)))))))))))))))))) -> 2(1(2(1(2(3(2(1(2(1(2(0(0(2(0(1(3(2(z0))))))))))))))))))
   0(c_0(c_2(c_1(c_0(c_0(c_1(c_0(c_1(c_0(c_3(c_1(c_3(c_3(c_2(c_0(c_1(c_1(z0)))))))))))))))))) -> 3(0(0(2(0(1(1(0(2(0(3(1(0(1(0(3(1(1(z0))))))))))))))))))
   0(c_0(c_0(c_1(c_3(c_2(c_2(c_3(c_0(c_2(c_2(c_0(c_1(c_0(c_0(c_0(c_1(c_2(z0)))))))))))))))))) -> 0(3(0(0(3(0(2(1(2(1(0(0(1(2(0(2(0(2(z0))))))))))))))))))
   0(c_2(c_2(c_1(c_3(c_0(c_0(c_1(c_3(c_0(c_1(c_0(c_3(c_3(c_2(c_0(c_1(c_3(z0)))))))))))))))))) -> 3(0(1(3(3(0(0(0(0(2(1(2(0(3(1(2(1(3(z0))))))))))))))))))
   0(c_2(c_3(c_1(c_3(c_3(c_1(c_3(c_2(c_3(c_2(c_2(c_1(c_0(c_1(c_1(c_1(c_1(z0)))))))))))))))))) -> 1(0(3(3(3(3(1(1(2(2(3(1(2(1(2(0(1(1(z0))))))))))))))))))
   0(c_1(c_1(c_0(c_0(c_2(c_2(c_0(c_3(c_2(c_1(c_0(c_3(c_1(c_1(c_0(c_2(c_2(z0)))))))))))))))))) -> 0(0(0(2(1(2(0(1(1(2(1(0(3(3(1(0(2(2(z0))))))))))))))))))
   0(c_1(c_0(c_1(c_0(c_3(c_0(c_1(c_3(c_1(c_3(c_0(c_1(c_0(c_1(c_3(c_2(c_1(z0)))))))))))))))))) -> 0(1(2(0(3(1(0(0(1(1(0(1(3(1(0(3(3(1(z0))))))))))))))))))
   0(c_2(c_2(c_2(c_3(c_3(c_0(c_1(c_3(c_1(c_1(c_1(c_0(c_1(c_3(c_2(c_0(c_2(z0)))))))))))))))))) -> 2(1(1(0(3(3(0(1(3(1(2(3(2(0(1(2(0(2(z0))))))))))))))))))
   0(c_0(c_1(c_3(c_2(c_1(c_0(c_1(c_2(c_2(c_1(c_1(c_1(c_1(c_2(c_3(c_2(c_2(z0)))))))))))))))))) -> 0(1(1(1(2(1(2(1(3(2(3(0(1(2(0(1(2(2(z0))))))))))))))))))
   0(c_2(c_2(c_0(c_3(c_1(c_3(c_1(c_3(c_3(c_1(c_2(c_1(c_0(c_0(c_2(c_0(c_1(z0)))))))))))))))))) -> 0(2(0(1(1(2(3(3(1(1(3(0(2(0(2(0(3(1(z0))))))))))))))))))
   0(c_2(c_3(c_1(c_3(c_2(c_3(c_1(c_1(c_0(c_2(c_3(c_2(c_1(c_0(c_0(c_1(c_2(z0)))))))))))))))))) -> 0(2(3(3(2(3(2(0(1(2(0(1(1(1(0(3(1(2(z0))))))))))))))))))
   0(c_2(c_3(c_2(c_1(c_1(c_3(c_3(c_1(c_3(c_0(c_1(c_0(c_1(c_1(c_3(c_2(c_1(z0)))))))))))))))))) -> 0(2(3(1(2(1(1(1(2(0(3(3(3(3(0(1(1(1(z0))))))))))))))))))
   0(c_0(c_1(c_1(c_3(c_2(c_3(c_2(c_3(c_2(c_0(c_0(c_2(c_3(c_2(c_3(c_1(c_0(z0)))))))))))))))))) -> 2(3(0(2(1(2(3(1(2(3(0(3(3(1(0(2(0(0(z0))))))))))))))))))
   0(c_0(c_2(c_0(c_3(c_2(c_2(c_3(c_3(c_1(c_3(c_2(c_1(c_1(c_3(c_0(c_0(c_1(z0)))))))))))))))))) -> 0(0(3(1(1(0(3(2(2(0(2(3(3(1(2(3(0(1(z0))))))))))))))))))
   0(c_3(c_1(c_0(c_0(c_3(c_0(c_0(c_1(c_0(c_3(c_2(c_1(c_3(c_0(c_0(c_1(c_2(z0)))))))))))))))))) -> 0(0(3(1(1(3(1(0(0(2(1(0(3(0(0(0(3(2(z0))))))))))))))))))
   0(c_3(c_0(c_1(c_3(c_1(c_3(c_2(c_0(c_1(c_0(c_1(c_0(c_0(c_3(c_1(c_1(c_3(z0)))))))))))))))))) -> 0(3(2(0(3(1(3(1(1(0(3(0(0(1(0(1(1(3(z0))))))))))))))))))
   0(c_0(c_3(c_3(c_1(c_3(c_3(c_0(c_1(c_3(c_2(c_3(c_3(c_3(c_0(c_3(c_3(c_3(z0)))))))))))))))))) -> 0(3(0(3(3(1(3(0(3(3(3(1(3(0(3(2(3(3(z0))))))))))))))))))
   0(c_0(c_2(c_0(c_1(c_1(c_2(c_0(c_1(c_0(c_1(c_0(c_1(c_0(c_2(c_3(c_2(c_0(z0)))))))))))))))))) -> 0(0(0(2(2(2(0(3(0(1(1(1(1(1(0(0(2(0(z0))))))))))))))))))
   0(c_0(c_3(c_1(c_0(c_0(c_2(c_2(c_0(c_0(c_0(c_2(c_2(c_3(c_2(c_2(c_2(c_0(z0)))))))))))))))))) -> 0(0(2(0(2(0(0(2(2(0(2(3(1(3(0(2(2(0(z0))))))))))))))))))
   1(z0) -> c_1(z0)
   1(c_0(c_0(c_0(c_3(c_0(c_2(c_3(c_1(c_2(c_3(c_1(c_1(c_2(c_2(c_2(c_2(c_3(z0)))))))))))))))))) -> 1(3(0(2(1(2(0(1(2(0(0(2(2(1(3(3(2(3(z0))))))))))))))))))
   1(c_3(c_1(c_3(c_2(c_2(c_0(c_0(c_0(c_0(c_1(c_3(c_2(c_0(c_1(c_3(c_3(c_0(z0)))))))))))))))))) -> 1(2(0(0(0(0(0(3(1(3(3(3(2(1(2(3(1(0(z0))))))))))))))))))
   1(c_1(c_2(c_0(c_2(c_2(c_1(c_2(c_3(c_2(c_3(c_1(c_0(c_0(c_1(c_3(c_0(c_2(z0)))))))))))))))))) -> 1(2(2(1(1(2(0(3(1(0(3(1(0(2(2(3(0(2(z0))))))))))))))))))
   1(c_0(c_3(c_2(c_3(c_2(c_2(c_0(c_3(c_2(c_2(c_1(c_1(c_0(c_3(c_2(c_3(c_3(z0)))))))))))))))))) -> 1(2(3(0(2(2(3(0(2(3(2(1(3(1(2(0(3(3(z0))))))))))))))))))
   1(c_1(c_0(c_1(c_1(c_3(c_2(c_0(c_2(c_1(c_2(c_2(c_1(c_2(c_3(c_1(c_1(c_1(z0)))))))))))))))))) -> 1(1(0(3(2(3(1(2(1(2(0(2(2(1(1(1(1(1(z0))))))))))))))))))
   1(c_3(c_2(c_3(c_0(c_3(c_3(c_3(c_1(c_3(c_3(c_1(c_3(c_3(c_3(c_2(c_2(c_0(z0)))))))))))))))))) -> 1(3(3(3(1(1(0(2(3(3(3(3(3(2(0(3(2(3(z0))))))))))))))))))
   1(c_3(c_3(c_1(c_1(c_3(c_0(c_2(c_0(c_1(c_3(c_1(c_3(c_0(c_3(c_2(c_2(c_1(z0)))))))))))))))))) -> 1(3(3(3(0(1(1(2(0(3(1(1(2(3(3(0(2(1(z0))))))))))))))))))
   1(c_0(c_0(c_0(c_1(c_3(c_2(c_2(c_2(c_2(c_2(c_3(c_1(c_3(c_1(c_1(c_1(c_1(z0)))))))))))))))))) -> 1(2(1(1(3(2(0(1(0(2(1(0(2(3(1(2(3(1(z0))))))))))))))))))
   1(c_1(c_0(c_0(c_3(c_2(c_2(c_2(c_2(c_0(c_3(c_2(c_2(c_0(c_0(c_1(c_0(c_0(z0)))))))))))))))))) -> 1(3(3(0(0(2(0(1(2(2(2(0(2(1(0(2(0(0(z0))))))))))))))))))
   1(c_0(c_1(c_0(c_1(c_3(c_0(c_2(c_3(c_0(c_1(c_3(c_3(c_2(c_1(c_0(c_1(c_3(z0)))))))))))))))))) -> 1(3(3(2(1(2(0(1(3(1(3(0(0(0(1(0(1(3(z0))))))))))))))))))
   1(c_0(c_1(c_1(c_3(c_2(c_1(c_1(c_0(c_0(c_0(c_1(c_3(c_0(c_0(c_0(c_1(c_0(z0)))))))))))))))))) -> 1(3(1(1(1(0(1(3(0(0(0(0(1(1(0(0(2(0(z0))))))))))))))))))
   1(c_0(c_2(c_3(c_0(c_1(c_0(c_2(c_0(c_1(c_0(c_3(c_1(c_2(c_2(c_2(c_3(c_1(z0)))))))))))))))))) -> 1(0(3(0(0(0(2(2(3(3(1(2(0(1(2(1(2(1(z0))))))))))))))))))
   1(c_2(c_2(c_1(c_2(c_2(c_1(c_0(c_1(c_2(c_1(c_1(c_0(c_2(c_3(c_2(c_2(c_0(z0)))))))))))))))))) -> 1(2(1(2(2(1(2(1(0(1(2(2(0(2(3(1(2(0(z0))))))))))))))))))
   1(c_1(c_1(c_0(c_1(c_1(c_3(c_2(c_3(c_0(c_0(c_3(c_3(c_3(c_2(c_2(c_2(c_1(z0)))))))))))))))))) -> 1(0(3(0(0(3(3(1(2(3(1(2(1(1(2(3(1(2(z0))))))))))))))))))
   1(c_1(c_3(c_3(c_2(c_1(c_1(c_1(c_3(c_3(c_1(c_1(c_0(c_2(c_0(c_2(c_1(c_2(z0)))))))))))))))))) -> 1(1(2(3(1(3(0(1(1(1(2(3(0(2(3(1(1(2(z0))))))))))))))))))
   1(c_0(c_3(c_0(c_2(c_0(c_3(c_0(c_1(c_1(c_2(c_3(c_0(c_1(c_3(c_2(c_0(c_3(z0)))))))))))))))))) -> 1(0(2(1(0(1(0(2(0(3(3(3(1(2(0(0(3(3(z0))))))))))))))))))
   1(c_1(c_1(c_0(c_1(c_1(c_2(c_2(c_2(c_1(c_0(c_1(c_1(c_1(c_3(c_3(c_0(c_3(z0)))))))))))))))))) -> 1(2(0(3(1(1(1(0(1(2(1(2(1(1(1(3(0(3(z0))))))))))))))))))
   1(c_0(c_1(c_3(c_2(c_0(c_2(c_1(c_3(c_3(c_2(c_1(c_3(c_2(c_2(c_0(c_1(c_2(z0)))))))))))))))))) -> 1(3(1(2(1(3(3(1(0(0(0(2(1(3(2(2(2(2(z0))))))))))))))))))
   1(c_1(c_3(c_3(c_1(c_0(c_2(c_3(c_2(c_1(c_3(c_2(c_0(c_1(c_1(c_1(c_1(c_1(z0)))))))))))))))))) -> 1(3(1(1(1(1(1(2(1(1(3(0(3(3(0(2(2(1(z0))))))))))))))))))
   1(c_3(c_0(c_1(c_3(c_2(c_2(c_2(c_2(c_1(c_0(c_0(c_1(c_2(c_2(c_0(c_0(c_1(z0)))))))))))))))))) -> 1(2(2(1(1(2(1(2(0(0(3(1(2(0(0(0(3(2(z0))))))))))))))))))
   1(c_3(c_1(c_2(c_2(c_2(c_1(c_3(c_3(c_0(c_1(c_1(c_0(c_0(c_2(c_2(c_3(c_2(z0)))))))))))))))))) -> 1(2(2(3(0(2(3(0(3(2(3(1(1(0(1(2(1(2(z0))))))))))))))))))
   2(z0) -> c_2(z0)
   2(c_0(c_2(c_2(c_3(c_2(c_0(c_2(c_0(c_1(c_1(c_3(c_1(c_3(c_3(c_3(c_2(c_0(z0)))))))))))))))))) -> 2(3(1(2(1(2(0(2(2(1(0(0(3(3(2(0(3(3(z0))))))))))))))))))
   2(c_1(c_0(c_0(c_2(c_2(c_2(c_0(c_1(c_3(c_1(c_3(c_2(c_3(c_2(c_1(c_1(c_2(z0)))))))))))))))))) -> 2(2(0(0(3(0(2(2(1(2(3(1(2(3(1(1(1(2(z0))))))))))))))))))
   2(c_0(c_2(c_0(c_0(c_1(c_1(c_1(c_3(c_1(c_1(c_3(c_2(c_3(c_1(c_3(c_2(c_3(z0)))))))))))))))))) -> 2(0(1(1(1(0(3(1(2(1(0(1(2(3(3(3(2(3(z0))))))))))))))))))
   2(c_3(c_1(c_0(c_0(c_3(c_1(c_0(c_1(c_3(c_0(c_1(c_2(c_2(c_2(c_2(c_0(c_2(z0)))))))))))))))))) -> 2(0(2(0(0(1(1(2(3(1(1(0(2(3(2(3(0(2(z0))))))))))))))))))
   2(c_1(c_3(c_3(c_2(c_1(c_2(c_3(c_1(c_3(c_3(c_1(c_2(c_1(c_2(c_2(c_0(c_3(z0)))))))))))))))))) -> 2(2(1(1(1(2(2(2(1(2(1(0(3(3(3(3(3(3(z0))))))))))))))))))
   2(c_1(c_0(c_2(c_1(c_0(c_0(c_1(c_1(c_2(c_2(c_2(c_2(c_2(c_2(c_2(c_2(c_1(z0)))))))))))))))))) -> 2(0(0(1(2(2(2(1(2(2(2(0(1(2(1(2(2(1(z0))))))))))))))))))
   2(c_3(c_0(c_1(c_0(c_0(c_3(c_1(c_0(c_3(c_2(c_3(c_2(c_2(c_2(c_3(c_3(c_2(z0)))))))))))))))))) -> 2(3(2(3(0(0(2(2(2(1(1(0(3(2(0(3(3(3(z0))))))))))))))))))
   2(c_2(c_3(c_1(c_0(c_3(c_2(c_2(c_2(c_2(c_3(c_1(c_3(c_3(c_0(c_2(c_3(c_2(z0)))))))))))))))))) -> 2(2(3(0(3(1(2(3(3(3(0(2(1(2(2(3(2(2(z0))))))))))))))))))
   2(c_1(c_1(c_3(c_2(c_0(c_0(c_0(c_2(c_1(c_0(c_2(c_2(c_3(c_2(c_3(c_2(c_0(z0)))))))))))))))))) -> 2(0(0(2(0(2(2(1(2(1(2(3(0(3(2(3(1(0(z0))))))))))))))))))
   3(z0) -> c_3(z0)
   3(c_3(c_1(c_2(c_1(c_3(c_2(c_2(c_1(c_2(c_1(c_2(c_2(c_0(c_3(c_2(c_1(c_0(z0)))))))))))))))))) -> 3(0(2(1(2(1(2(2(3(1(2(0(2(1(1(2(3(3(z0))))))))))))))))))
   3(c_3(c_0(c_2(c_0(c_1(c_3(c_1(c_0(c_2(c_2(c_2(c_2(c_0(c_3(c_3(c_1(c_0(z0)))))))))))))))))) -> 3(3(2(0(3(1(0(2(1(2(3(0(1(0(2(3(2(0(z0))))))))))))))))))
   3(c_1(c_0(c_2(c_1(c_0(c_1(c_0(c_1(c_0(c_2(c_2(c_0(c_2(c_3(c_3(c_2(c_2(z0)))))))))))))))))) -> 0(3(0(0(0(2(3(2(1(3(0(2(2(1(1(1(2(2(z0))))))))))))))))))
   3(c_0(c_1(c_0(c_2(c_3(c_2(c_0(c_1(c_0(c_1(c_2(c_3(c_1(c_2(c_0(c_1(c_2(z0)))))))))))))))))) -> 3(0(1(1(1(1(2(2(3(0(1(2(0(3(0(2(0(2(z0))))))))))))))))))
   3(c_2(c_0(c_3(c_0(c_1(c_1(c_0(c_2(c_3(c_0(c_3(c_0(c_0(c_1(c_0(c_2(c_0(z0)))))))))))))))))) -> 3(2(0(0(1(1(1(0(0(3(3(2(3(0(0(0(2(0(z0))))))))))))))))))
   3(c_2(c_2(c_0(c_2(c_3(c_0(c_1(c_0(c_3(c_1(c_3(c_3(c_1(c_3(c_1(c_2(c_3(z0)))))))))))))))))) -> 3(2(0(3(1(2(0(3(3(1(1(1(0(2(3(2(3(3(z0))))))))))))))))))
   3(c_0(c_3(c_0(c_3(c_2(c_2(c_3(c_2(c_1(c_0(c_2(c_3(c_1(c_2(c_3(c_3(c_0(z0)))))))))))))))))) -> 3(1(2(1(2(3(2(0(2(3(2(0(0(3(3(3(3(0(z0))))))))))))))))))
   3(c_1(c_1(c_0(c_1(c_0(c_3(c_1(c_1(c_2(c_1(c_3(c_0(c_3(c_3(c_1(c_0(c_3(z0)))))))))))))))))) -> 3(1(1(1(3(1(1(1(0(3(0(0(1(2(3(3(0(3(z0))))))))))))))))))
   3(c_0(c_1(c_0(c_0(c_2(c_1(c_0(c_1(c_3(c_2(c_1(c_1(c_3(c_3(c_0(c_1(c_1(z0)))))))))))))))))) -> 3(0(0(2(3(1(1(1(0(1(3(0(1(0(3(2(1(1(z0))))))))))))))))))
   3(c_2(c_3(c_2(c_2(c_2(c_0(c_2(c_3(c_0(c_1(c_2(c_3(c_0(c_1(c_1(c_0(c_2(z0)))))))))))))))))) -> 3(2(2(3(3(0(3(1(2(2(0(1(0(0(2(2(1(2(z0))))))))))))))))))
   3(c_0(c_1(c_0(c_0(c_0(c_0(c_3(c_3(c_2(c_0(c_0(c_1(c_0(c_0(c_2(c_2(c_2(z0)))))))))))))))))) -> 0(2(0(3(0(0(2(0(3(3(0(0(0(2(1(0(1(2(z0))))))))))))))))))
   3(c_0(c_0(c_1(c_3(c_1(c_0(c_2(c_3(c_3(c_1(c_3(c_3(c_3(c_3(c_2(c_1(c_0(z0)))))))))))))))))) -> 3(0(3(1(1(2(2(1(3(0(3(3(0(3(3(3(1(0(z0))))))))))))))))))
   3(c_2(c_2(c_1(c_3(c_1(c_2(c_2(c_3(c_3(c_0(c_2(c_1(c_0(c_1(c_3(c_2(c_1(z0)))))))))))))))))) -> 3(2(3(1(1(2(3(0(2(1(3(1(1(2(3(0(2(2(z0))))))))))))))))))
   3(c_2(c_2(c_2(c_2(c_2(c_1(c_0(c_0(c_1(c_3(c_2(c_3(c_1(c_3(c_3(c_2(c_1(z0)))))))))))))))))) -> 3(2(3(1(0(2(2(2(1(3(3(2(1(0(2(2(3(1(z0))))))))))))))))))
   3(c_1(c_2(c_2(c_3(c_1(c_0(c_1(c_1(c_1(c_1(c_3(c_2(c_1(c_1(c_1(c_3(c_1(z0)))))))))))))))))) -> 3(1(1(2(2(3(1(1(0(1(2(1(1(3(1(1(3(1(z0))))))))))))))))))
   3(c_3(c_1(c_3(c_3(c_2(c_1(c_3(c_2(c_3(c_3(c_2(c_3(c_1(c_3(c_2(c_3(c_1(z0)))))))))))))))))) -> 3(1(3(1(2(2(3(3(3(3(3(3(3(2(2(1(3(1(z0))))))))))))))))))
   3(c_0(c_0(c_1(c_3(c_2(c_2(c_1(c_3(c_3(c_0(c_1(c_2(c_1(c_0(c_3(c_1(c_2(z0)))))))))))))))))) -> 3(0(1(1(3(3(0(2(3(1(2(1(3(0(2(0(1(2(z0))))))))))))))))))
   3(c_2(c_1(c_0(c_1(c_0(c_1(c_3(c_0(c_1(c_2(c_3(c_0(c_0(c_1(c_3(c_0(c_1(z0)))))))))))))))))) -> 3(0(0(3(0(3(3(0(0(1(1(0(1(2(1(2(1(1(z0))))))))))))))))))
   3(c_0(c_1(c_0(c_2(c_1(c_0(c_0(c_0(c_0(c_1(c_1(c_3(c_2(c_2(c_3(c_0(c_1(z0)))))))))))))))))) -> 3(0(0(3(0(3(2(1(1(0(0(0(2(1(1(1(0(2(z0))))))))))))))))))
   3(c_3(c_2(c_2(c_3(c_0(c_1(c_3(c_3(c_3(c_0(c_0(c_0(c_2(c_0(c_2(c_3(c_0(z0)))))))))))))))))) -> 3(3(3(0(3(2(0(2(3(0(2(2(0(1(3(0(3(0(z0))))))))))))))))))
   3(c_2(c_0(c_1(c_2(c_3(c_2(c_2(c_1(c_3(c_0(c_3(c_3(c_1(c_3(c_3(c_2(c_2(z0)))))))))))))))))) -> 3(2(0(1(2(0(1(3(3(2(3(3(3(3(1(2(2(2(z0))))))))))))))))))
   3(c_1(c_0(c_3(c_2(c_1(c_0(c_3(c_0(c_2(c_3(c_2(c_3(c_0(c_1(c_3(c_3(c_2(z0)))))))))))))))))) -> 3(1(0(3(1(3(3(3(0(2(3(0(3(2(2(0(1(2(z0))))))))))))))))))
   3(c_3(c_1(c_3(c_0(c_2(c_3(c_3(c_3(c_1(c_0(c_0(c_2(c_2(c_0(c_2(c_0(c_1(z0)))))))))))))))))) -> 3(0(0(2(0(0(3(0(3(3(2(1(2(1(2(3(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_2(c_0(c_3(c_2(c_1(c_0(z0)))))))))))))))))) -> 3(3(1(0(0(2(1(1(1(2(3(1(1(2(0(0(3(0(z0))))))))))))))))))
   3(c_2(c_2(c_2(c_2(c_3(c_3(c_1(c_3(c_1(c_1(c_3(c_3(c_1(c_2(c_2(c_3(c_2(z0)))))))))))))))))) -> 3(2(3(2(3(1(2(3(1(2(3(3(2(3(2(1(1(2(z0))))))))))))))))))
Tuples:
   ENCARG(cons_0(z0)) -> c(0'(encArg(z0)), ENCARG(z0))
   ENCARG(cons_1(z0)) -> c1(1'(encArg(z0)), ENCARG(z0))
   ENCARG(cons_2(z0)) -> c2(2'(encArg(z0)), ENCARG(z0))
   ENCARG(cons_3(z0)) -> c3(3'(encArg(z0)), ENCARG(z0))
   0'(c_2(c_3(c_3(c_2(c_1(c_3(c_0(c_1(c_3(c_1(c_3(c_3(c_0(c_2(c_1(c_0(c_1(z0)))))))))))))))))) -> c9(0'(2(3(3(0(3(1(0(2(3(1(0(3(3(2(1(1(1(z0)))))))))))))))))), 2'(3(3(0(3(1(0(2(3(1(0(3(3(2(1(1(1(z0))))))))))))))))), 3'(3(0(3(1(0(2(3(1(0(3(3(2(1(1(1(z0)))))))))))))))), 3'(0(3(1(0(2(3(1(0(3(3(2(1(1(1(z0))))))))))))))), 0'(3(1(0(2(3(1(0(3(3(2(1(1(1(z0)))))))))))))), 3'(1(0(2(3(1(0(3(3(2(1(1(1(z0))))))))))))), 1'(0(2(3(1(0(3(3(2(1(1(1(z0)))))))))))), 0'(2(3(1(0(3(3(2(1(1(1(z0))))))))))), 2'(3(1(0(3(3(2(1(1(1(z0)))))))))), 3'(1(0(3(3(2(1(1(1(z0))))))))), 1'(0(3(3(2(1(1(1(z0)))))))), 0'(3(3(2(1(1(1(z0))))))), 3'(3(2(1(1(1(z0)))))), 3'(2(1(1(1(z0))))), 2'(1(1(1(z0)))), 1'(1(1(z0))), 1'(1(z0)), 1'(z0))
   0'(c_3(c_1(c_0(c_2(c_2(c_1(c_0(c_1(c_1(c_0(c_0(c_3(c_1(c_2(c_2(c_3(c_0(z0)))))))))))))))))) -> c10(0'(3(1(1(0(3(2(0(2(1(2(2(0(3(1(1(0(0(z0)))))))))))))))))), 3'(1(1(0(3(2(0(2(1(2(2(0(3(1(1(0(0(z0))))))))))))))))), 1'(1(0(3(2(0(2(1(2(2(0(3(1(1(0(0(z0)))))))))))))))), 1'(0(3(2(0(2(1(2(2(0(3(1(1(0(0(z0))))))))))))))), 0'(3(2(0(2(1(2(2(0(3(1(1(0(0(z0)))))))))))))), 3'(2(0(2(1(2(2(0(3(1(1(0(0(z0))))))))))))), 2'(0(2(1(2(2(0(3(1(1(0(0(z0)))))))))))), 0'(2(1(2(2(0(3(1(1(0(0(z0))))))))))), 2'(1(2(2(0(3(1(1(0(0(z0)))))))))), 1'(2(2(0(3(1(1(0(0(z0))))))))), 2'(2(0(3(1(1(0(0(z0)))))))), 2'(0(3(1(1(0(0(z0))))))), 0'(3(1(1(0(0(z0)))))), 3'(1(1(0(0(z0))))), 1'(1(0(0(z0)))), 1'(0(0(z0))), 0'(0(z0)), 0'(z0))
   0'(c_1(c_0(c_3(c_2(c_2(c_3(c_2(c_0(c_1(c_1(c_1(c_1(c_0(c_1(c_0(c_1(c_1(z0)))))))))))))))))) -> c11(1'(2(3(1(1(0(0(1(1(3(0(0(2(0(2(1(1(1(z0)))))))))))))))))), 2'(3(1(1(0(0(1(1(3(0(0(2(0(2(1(1(1(z0))))))))))))))))), 3'(1(1(0(0(1(1(3(0(0(2(0(2(1(1(1(z0)))))))))))))))), 1'(1(0(0(1(1(3(0(0(2(0(2(1(1(1(z0))))))))))))))), 1'(0(0(1(1(3(0(0(2(0(2(1(1(1(z0)))))))))))))), 0'(0(1(1(3(0(0(2(0(2(1(1(1(z0))))))))))))), 0'(1(1(3(0(0(2(0(2(1(1(1(z0)))))))))))), 1'(1(3(0(0(2(0(2(1(1(1(z0))))))))))), 1'(3(0(0(2(0(2(1(1(1(z0)))))))))), 3'(0(0(2(0(2(1(1(1(z0))))))))), 0'(0(2(0(2(1(1(1(z0)))))))), 0'(2(0(2(1(1(1(z0))))))), 2'(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))
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   3'(c_2(c_2(c_1(c_3(c_1(c_2(c_2(c_3(c_3(c_0(c_2(c_1(c_0(c_1(c_3(c_2(c_1(z0)))))))))))))))))) -> c79(3'(2(3(1(1(2(3(0(2(1(3(1(1(2(3(0(2(2(z0)))))))))))))))))), 2'(3(1(1(2(3(0(2(1(3(1(1(2(3(0(2(2(z0))))))))))))))))), 3'(1(1(2(3(0(2(1(3(1(1(2(3(0(2(2(z0)))))))))))))))), 1'(1(2(3(0(2(1(3(1(1(2(3(0(2(2(z0))))))))))))))), 1'(2(3(0(2(1(3(1(1(2(3(0(2(2(z0)))))))))))))), 2'(3(0(2(1(3(1(1(2(3(0(2(2(z0))))))))))))), 3'(0(2(1(3(1(1(2(3(0(2(2(z0)))))))))))), 0'(2(1(3(1(1(2(3(0(2(2(z0))))))))))), 2'(1(3(1(1(2(3(0(2(2(z0)))))))))), 1'(3(1(1(2(3(0(2(2(z0))))))))), 3'(1(1(2(3(0(2(2(z0)))))))), 1'(1(2(3(0(2(2(z0))))))), 1'(2(3(0(2(2(z0)))))), 2'(3(0(2(2(z0))))), 3'(0(2(2(z0)))), 0'(2(2(z0))), 2'(2(z0)), 2'(z0))
   3'(c_2(c_2(c_2(c_2(c_2(c_1(c_0(c_0(c_1(c_3(c_2(c_3(c_1(c_3(c_3(c_2(c_1(z0)))))))))))))))))) -> c80(3'(2(3(1(0(2(2(2(1(3(3(2(1(0(2(2(3(1(z0)))))))))))))))))), 2'(3(1(0(2(2(2(1(3(3(2(1(0(2(2(3(1(z0))))))))))))))))), 3'(1(0(2(2(2(1(3(3(2(1(0(2(2(3(1(z0)))))))))))))))), 1'(0(2(2(2(1(3(3(2(1(0(2(2(3(1(z0))))))))))))))), 0'(2(2(2(1(3(3(2(1(0(2(2(3(1(z0)))))))))))))), 2'(2(2(1(3(3(2(1(0(2(2(3(1(z0))))))))))))), 2'(2(1(3(3(2(1(0(2(2(3(1(z0)))))))))))), 2'(1(3(3(2(1(0(2(2(3(1(z0))))))))))), 1'(3(3(2(1(0(2(2(3(1(z0)))))))))), 3'(3(2(1(0(2(2(3(1(z0))))))))), 3'(2(1(0(2(2(3(1(z0)))))))), 2'(1(0(2(2(3(1(z0))))))), 1'(0(2(2(3(1(z0)))))), 0'(2(2(3(1(z0))))), 2'(2(3(1(z0)))), 2'(3(1(z0))), 3'(1(z0)), 1'(z0))
   3'(c_1(c_2(c_2(c_3(c_1(c_0(c_1(c_1(c_1(c_1(c_3(c_2(c_1(c_1(c_1(c_3(c_1(z0)))))))))))))))))) -> c81(3'(1(1(2(2(3(1(1(0(1(2(1(1(3(1(1(3(1(z0)))))))))))))))))), 1'(1(2(2(3(1(1(0(1(2(1(1(3(1(1(3(1(z0))))))))))))))))), 1'(2(2(3(1(1(0(1(2(1(1(3(1(1(3(1(z0)))))))))))))))), 2'(2(3(1(1(0(1(2(1(1(3(1(1(3(1(z0))))))))))))))), 2'(3(1(1(0(1(2(1(1(3(1(1(3(1(z0)))))))))))))), 3'(1(1(0(1(2(1(1(3(1(1(3(1(z0))))))))))))), 1'(1(0(1(2(1(1(3(1(1(3(1(z0)))))))))))), 1'(0(1(2(1(1(3(1(1(3(1(z0))))))))))), 0'(1(2(1(1(3(1(1(3(1(z0)))))))))), 1'(2(1(1(3(1(1(3(1(z0))))))))), 2'(1(1(3(1(1(3(1(z0)))))))), 1'(1(3(1(1(3(1(z0))))))), 1'(3(1(1(3(1(z0)))))), 3'(1(1(3(1(z0))))), 1'(1(3(1(z0)))), 1'(3(1(z0))), 3'(1(z0)), 1'(z0))
   3'(c_3(c_1(c_3(c_3(c_2(c_1(c_3(c_2(c_3(c_3(c_2(c_3(c_1(c_3(c_2(c_3(c_1(z0)))))))))))))))))) -> c82(3'(1(3(1(2(2(3(3(3(3(3(3(3(2(2(1(3(1(z0)))))))))))))))))), 1'(3(1(2(2(3(3(3(3(3(3(3(2(2(1(3(1(z0))))))))))))))))), 3'(1(2(2(3(3(3(3(3(3(3(2(2(1(3(1(z0)))))))))))))))), 1'(2(2(3(3(3(3(3(3(3(2(2(1(3(1(z0))))))))))))))), 2'(2(3(3(3(3(3(3(3(2(2(1(3(1(z0)))))))))))))), 2'(3(3(3(3(3(3(3(2(2(1(3(1(z0))))))))))))), 3'(3(3(3(3(3(3(2(2(1(3(1(z0)))))))))))), 3'(3(3(3(3(3(2(2(1(3(1(z0))))))))))), 3'(3(3(3(3(2(2(1(3(1(z0)))))))))), 3'(3(3(3(2(2(1(3(1(z0))))))))), 3'(3(3(2(2(1(3(1(z0)))))))), 3'(3(2(2(1(3(1(z0))))))), 3'(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))
   3'(c_0(c_0(c_1(c_3(c_2(c_2(c_1(c_3(c_3(c_0(c_1(c_2(c_1(c_0(c_3(c_1(c_2(z0)))))))))))))))))) -> c83(3'(0(1(1(3(3(0(2(3(1(2(1(3(0(2(0(1(2(z0)))))))))))))))))), 0'(1(1(3(3(0(2(3(1(2(1(3(0(2(0(1(2(z0))))))))))))))))), 1'(1(3(3(0(2(3(1(2(1(3(0(2(0(1(2(z0)))))))))))))))), 1'(3(3(0(2(3(1(2(1(3(0(2(0(1(2(z0))))))))))))))), 3'(3(0(2(3(1(2(1(3(0(2(0(1(2(z0)))))))))))))), 3'(0(2(3(1(2(1(3(0(2(0(1(2(z0))))))))))))), 0'(2(3(1(2(1(3(0(2(0(1(2(z0)))))))))))), 2'(3(1(2(1(3(0(2(0(1(2(z0))))))))))), 3'(1(2(1(3(0(2(0(1(2(z0)))))))))), 1'(2(1(3(0(2(0(1(2(z0))))))))), 2'(1(3(0(2(0(1(2(z0)))))))), 1'(3(0(2(0(1(2(z0))))))), 3'(0(2(0(1(2(z0)))))), 0'(2(0(1(2(z0))))), 2'(0(1(2(z0)))), 0'(1(2(z0))), 1'(2(z0)), 2'(z0))
   3'(c_2(c_1(c_0(c_1(c_0(c_1(c_3(c_0(c_1(c_2(c_3(c_0(c_0(c_1(c_3(c_0(c_1(z0)))))))))))))))))) -> c84(3'(0(0(3(0(3(3(0(0(1(1(0(1(2(1(2(1(1(z0)))))))))))))))))), 0'(0(3(0(3(3(0(0(1(1(0(1(2(1(2(1(1(z0))))))))))))))))), 0'(3(0(3(3(0(0(1(1(0(1(2(1(2(1(1(z0)))))))))))))))), 3'(0(3(3(0(0(1(1(0(1(2(1(2(1(1(z0))))))))))))))), 0'(3(3(0(0(1(1(0(1(2(1(2(1(1(z0)))))))))))))), 3'(3(0(0(1(1(0(1(2(1(2(1(1(z0))))))))))))), 3'(0(0(1(1(0(1(2(1(2(1(1(z0)))))))))))), 0'(0(1(1(0(1(2(1(2(1(1(z0))))))))))), 0'(1(1(0(1(2(1(2(1(1(z0)))))))))), 1'(1(0(1(2(1(2(1(1(z0))))))))), 1'(0(1(2(1(2(1(1(z0)))))))), 0'(1(2(1(2(1(1(z0))))))), 1'(2(1(2(1(1(z0)))))), 2'(1(2(1(1(z0))))), 1'(2(1(1(z0)))), 2'(1(1(z0))), 1'(1(z0)), 1'(z0))
   3'(c_0(c_1(c_0(c_2(c_1(c_0(c_0(c_0(c_0(c_1(c_1(c_3(c_2(c_2(c_3(c_0(c_1(z0)))))))))))))))))) -> c85(3'(0(0(3(0(3(2(1(1(0(0(0(2(1(1(1(0(2(z0)))))))))))))))))), 0'(0(3(0(3(2(1(1(0(0(0(2(1(1(1(0(2(z0))))))))))))))))), 0'(3(0(3(2(1(1(0(0(0(2(1(1(1(0(2(z0)))))))))))))))), 3'(0(3(2(1(1(0(0(0(2(1(1(1(0(2(z0))))))))))))))), 0'(3(2(1(1(0(0(0(2(1(1(1(0(2(z0)))))))))))))), 3'(2(1(1(0(0(0(2(1(1(1(0(2(z0))))))))))))), 2'(1(1(0(0(0(2(1(1(1(0(2(z0)))))))))))), 1'(1(0(0(0(2(1(1(1(0(2(z0))))))))))), 1'(0(0(0(2(1(1(1(0(2(z0)))))))))), 0'(0(0(2(1(1(1(0(2(z0))))))))), 0'(0(2(1(1(1(0(2(z0)))))))), 0'(2(1(1(1(0(2(z0))))))), 2'(1(1(1(0(2(z0)))))), 1'(1(1(0(2(z0))))), 1'(1(0(2(z0)))), 1'(0(2(z0))), 0'(2(z0)), 2'(z0))
   3'(c_3(c_2(c_2(c_3(c_0(c_1(c_3(c_3(c_3(c_0(c_0(c_0(c_2(c_0(c_2(c_3(c_0(z0)))))))))))))))))) -> c86(3'(3(3(0(3(2(0(2(3(0(2(2(0(1(3(0(3(0(z0)))))))))))))))))), 3'(3(0(3(2(0(2(3(0(2(2(0(1(3(0(3(0(z0))))))))))))))))), 3'(0(3(2(0(2(3(0(2(2(0(1(3(0(3(0(z0)))))))))))))))), 0'(3(2(0(2(3(0(2(2(0(1(3(0(3(0(z0))))))))))))))), 3'(2(0(2(3(0(2(2(0(1(3(0(3(0(z0)))))))))))))), 2'(0(2(3(0(2(2(0(1(3(0(3(0(z0))))))))))))), 0'(2(3(0(2(2(0(1(3(0(3(0(z0)))))))))))), 2'(3(0(2(2(0(1(3(0(3(0(z0))))))))))), 3'(0(2(2(0(1(3(0(3(0(z0)))))))))), 0'(2(2(0(1(3(0(3(0(z0))))))))), 2'(2(0(1(3(0(3(0(z0)))))))), 2'(0(1(3(0(3(0(z0))))))), 0'(1(3(0(3(0(z0)))))), 1'(3(0(3(0(z0))))), 3'(0(3(0(z0)))), 0'(3(0(z0))), 3'(0(z0)), 0'(z0))
   3'(c_2(c_0(c_1(c_2(c_3(c_2(c_2(c_1(c_3(c_0(c_3(c_3(c_1(c_3(c_3(c_2(c_2(z0)))))))))))))))))) -> c87(3'(2(0(1(2(0(1(3(3(2(3(3(3(3(1(2(2(2(z0)))))))))))))))))), 2'(0(1(2(0(1(3(3(2(3(3(3(3(1(2(2(2(z0))))))))))))))))), 0'(1(2(0(1(3(3(2(3(3(3(3(1(2(2(2(z0)))))))))))))))), 1'(2(0(1(3(3(2(3(3(3(3(1(2(2(2(z0))))))))))))))), 2'(0(1(3(3(2(3(3(3(3(1(2(2(2(z0)))))))))))))), 0'(1(3(3(2(3(3(3(3(1(2(2(2(z0))))))))))))), 1'(3(3(2(3(3(3(3(1(2(2(2(z0)))))))))))), 3'(3(2(3(3(3(3(1(2(2(2(z0))))))))))), 3'(2(3(3(3(3(1(2(2(2(z0)))))))))), 2'(3(3(3(3(1(2(2(2(z0))))))))), 3'(3(3(3(1(2(2(2(z0)))))))), 3'(3(3(1(2(2(2(z0))))))), 3'(3(1(2(2(2(z0)))))), 3'(1(2(2(2(z0))))), 1'(2(2(2(z0)))), 2'(2(2(z0))), 2'(2(z0)), 2'(z0))
   3'(c_1(c_0(c_3(c_2(c_1(c_0(c_3(c_0(c_2(c_3(c_2(c_3(c_0(c_1(c_3(c_3(c_2(z0)))))))))))))))))) -> c88(3'(1(0(3(1(3(3(3(0(2(3(0(3(2(2(0(1(2(z0)))))))))))))))))), 1'(0(3(1(3(3(3(0(2(3(0(3(2(2(0(1(2(z0))))))))))))))))), 0'(3(1(3(3(3(0(2(3(0(3(2(2(0(1(2(z0)))))))))))))))), 3'(1(3(3(3(0(2(3(0(3(2(2(0(1(2(z0))))))))))))))), 1'(3(3(3(0(2(3(0(3(2(2(0(1(2(z0)))))))))))))), 3'(3(3(0(2(3(0(3(2(2(0(1(2(z0))))))))))))), 3'(3(0(2(3(0(3(2(2(0(1(2(z0)))))))))))), 3'(0(2(3(0(3(2(2(0(1(2(z0))))))))))), 0'(2(3(0(3(2(2(0(1(2(z0)))))))))), 2'(3(0(3(2(2(0(1(2(z0))))))))), 3'(0(3(2(2(0(1(2(z0)))))))), 0'(3(2(2(0(1(2(z0))))))), 3'(2(2(0(1(2(z0)))))), 2'(2(0(1(2(z0))))), 2'(0(1(2(z0)))), 0'(1(2(z0))), 1'(2(z0)), 2'(z0))
   3'(c_3(c_1(c_3(c_0(c_2(c_3(c_3(c_3(c_1(c_0(c_0(c_2(c_2(c_0(c_2(c_0(c_1(z0)))))))))))))))))) -> c89(3'(0(0(2(0(0(3(0(3(3(2(1(2(1(2(3(3(1(z0)))))))))))))))))), 0'(0(2(0(0(3(0(3(3(2(1(2(1(2(3(3(1(z0))))))))))))))))), 0'(2(0(0(3(0(3(3(2(1(2(1(2(3(3(1(z0)))))))))))))))), 2'(0(0(3(0(3(3(2(1(2(1(2(3(3(1(z0))))))))))))))), 0'(0(3(0(3(3(2(1(2(1(2(3(3(1(z0)))))))))))))), 0'(3(0(3(3(2(1(2(1(2(3(3(1(z0))))))))))))), 3'(0(3(3(2(1(2(1(2(3(3(1(z0)))))))))))), 0'(3(3(2(1(2(1(2(3(3(1(z0))))))))))), 3'(3(2(1(2(1(2(3(3(1(z0)))))))))), 3'(2(1(2(1(2(3(3(1(z0))))))))), 2'(1(2(1(2(3(3(1(z0)))))))), 1'(2(1(2(3(3(1(z0))))))), 2'(1(2(3(3(1(z0)))))), 1'(2(3(3(1(z0))))), 2'(3(3(1(z0)))), 3'(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_2(c_0(c_3(c_2(c_1(c_0(z0)))))))))))))))))) -> c90(3'(3(1(0(0(2(1(1(1(2(3(1(1(2(0(0(3(0(z0)))))))))))))))))), 3'(1(0(0(2(1(1(1(2(3(1(1(2(0(0(3(0(z0))))))))))))))))), 1'(0(0(2(1(1(1(2(3(1(1(2(0(0(3(0(z0)))))))))))))))), 0'(0(2(1(1(1(2(3(1(1(2(0(0(3(0(z0))))))))))))))), 0'(2(1(1(1(2(3(1(1(2(0(0(3(0(z0)))))))))))))), 2'(1(1(1(2(3(1(1(2(0(0(3(0(z0))))))))))))), 1'(1(1(2(3(1(1(2(0(0(3(0(z0)))))))))))), 1'(1(2(3(1(1(2(0(0(3(0(z0))))))))))), 1'(2(3(1(1(2(0(0(3(0(z0)))))))))), 2'(3(1(1(2(0(0(3(0(z0))))))))), 3'(1(1(2(0(0(3(0(z0)))))))), 1'(1(2(0(0(3(0(z0))))))), 1'(2(0(0(3(0(z0)))))), 2'(0(0(3(0(z0))))), 0'(0(3(0(z0)))), 0'(3(0(z0))), 3'(0(z0)), 0'(z0))
   3'(c_2(c_2(c_2(c_2(c_3(c_3(c_1(c_3(c_1(c_1(c_3(c_3(c_1(c_2(c_2(c_3(c_2(z0)))))))))))))))))) -> c91(3'(2(3(2(3(1(2(3(1(2(3(3(2(3(2(1(1(2(z0)))))))))))))))))), 2'(3(2(3(1(2(3(1(2(3(3(2(3(2(1(1(2(z0))))))))))))))))), 3'(2(3(1(2(3(1(2(3(3(2(3(2(1(1(2(z0)))))))))))))))), 2'(3(1(2(3(1(2(3(3(2(3(2(1(1(2(z0))))))))))))))), 3'(1(2(3(1(2(3(3(2(3(2(1(1(2(z0)))))))))))))), 1'(2(3(1(2(3(3(2(3(2(1(1(2(z0))))))))))))), 2'(3(1(2(3(3(2(3(2(1(1(2(z0)))))))))))), 3'(1(2(3(3(2(3(2(1(1(2(z0))))))))))), 1'(2(3(3(2(3(2(1(1(2(z0)))))))))), 2'(3(3(2(3(2(1(1(2(z0))))))))), 3'(3(2(3(2(1(1(2(z0)))))))), 3'(2(3(2(1(1(2(z0))))))), 2'(3(2(1(1(2(z0)))))), 3'(2(1(1(2(z0))))), 2'(1(1(2(z0)))), 1'(1(2(z0))), 1'(2(z0)), 2'(z0))
   ENCODE_0(z0) -> c8(0'(encArg(z0)))
   ENCODE_0(z0) -> c8(ENCARG(z0))
   ENCODE_1(z0) -> c8(1'(encArg(z0)))
   ENCODE_1(z0) -> c8(ENCARG(z0))
   ENCODE_3(z0) -> c8(3'(encArg(z0)))
   ENCODE_3(z0) -> c8(ENCARG(z0))
   ENCODE_2(z0) -> c8(2'(encArg(z0)))
   ENCODE_2(z0) -> c8(ENCARG(z0))
S tuples:
   0'(c_2(c_3(c_3(c_2(c_1(c_3(c_0(c_1(c_3(c_1(c_3(c_3(c_0(c_2(c_1(c_0(c_1(z0)))))))))))))))))) -> c9(0'(2(3(3(0(3(1(0(2(3(1(0(3(3(2(1(1(1(z0)))))))))))))))))), 2'(3(3(0(3(1(0(2(3(1(0(3(3(2(1(1(1(z0))))))))))))))))), 3'(3(0(3(1(0(2(3(1(0(3(3(2(1(1(1(z0)))))))))))))))), 3'(0(3(1(0(2(3(1(0(3(3(2(1(1(1(z0))))))))))))))), 0'(3(1(0(2(3(1(0(3(3(2(1(1(1(z0)))))))))))))), 3'(1(0(2(3(1(0(3(3(2(1(1(1(z0))))))))))))), 1'(0(2(3(1(0(3(3(2(1(1(1(z0)))))))))))), 0'(2(3(1(0(3(3(2(1(1(1(z0))))))))))), 2'(3(1(0(3(3(2(1(1(1(z0)))))))))), 3'(1(0(3(3(2(1(1(1(z0))))))))), 1'(0(3(3(2(1(1(1(z0)))))))), 0'(3(3(2(1(1(1(z0))))))), 3'(3(2(1(1(1(z0)))))), 3'(2(1(1(1(z0))))), 2'(1(1(1(z0)))), 1'(1(1(z0))), 1'(1(z0)), 1'(z0))
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   0'(c_2(c_0(c_2(c_2(c_1(c_1(c_0(c_2(c_0(c_0(c_0(c_1(c_0(c_3(c_0(c_2(c_0(z0)))))))))))))))))) -> c12(0'(2(1(1(1(0(2(0(2(0(0(0(0(3(2(0(2(0(z0)))))))))))))))))), 2'(1(1(1(0(2(0(2(0(0(0(0(3(2(0(2(0(z0))))))))))))))))), 1'(1(1(0(2(0(2(0(0(0(0(3(2(0(2(0(z0)))))))))))))))), 1'(1(0(2(0(2(0(0(0(0(3(2(0(2(0(z0))))))))))))))), 1'(0(2(0(2(0(0(0(0(3(2(0(2(0(z0)))))))))))))), 0'(2(0(2(0(0(0(0(3(2(0(2(0(z0))))))))))))), 2'(0(2(0(0(0(0(3(2(0(2(0(z0)))))))))))), 0'(2(0(0(0(0(3(2(0(2(0(z0))))))))))), 2'(0(0(0(0(3(2(0(2(0(z0)))))))))), 0'(0(0(0(3(2(0(2(0(z0))))))))), 0'(0(0(3(2(0(2(0(z0)))))))), 0'(0(3(2(0(2(0(z0))))))), 0'(3(2(0(2(0(z0)))))), 3'(2(0(2(0(z0))))), 2'(0(2(0(z0)))), 0'(2(0(z0))), 2'(0(z0)), 0'(z0))
   0'(c_0(c_2(c_0(c_0(c_0(c_1(c_1(c_0(c_2(c_2(c_3(c_3(c_0(c_0(c_3(c_0(c_2(z0)))))))))))))))))) -> c13(0'(2(0(0(3(1(1(2(3(0(2(0(0(3(0(0(0(2(z0)))))))))))))))))), 2'(0(0(3(1(1(2(3(0(2(0(0(3(0(0(0(2(z0))))))))))))))))), 0'(0(3(1(1(2(3(0(2(0(0(3(0(0(0(2(z0)))))))))))))))), 0'(3(1(1(2(3(0(2(0(0(3(0(0(0(2(z0))))))))))))))), 3'(1(1(2(3(0(2(0(0(3(0(0(0(2(z0)))))))))))))), 1'(1(2(3(0(2(0(0(3(0(0(0(2(z0))))))))))))), 1'(2(3(0(2(0(0(3(0(0(0(2(z0)))))))))))), 2'(3(0(2(0(0(3(0(0(0(2(z0))))))))))), 3'(0(2(0(0(3(0(0(0(2(z0)))))))))), 0'(2(0(0(3(0(0(0(2(z0))))))))), 2'(0(0(3(0(0(0(2(z0)))))))), 0'(0(3(0(0(0(2(z0))))))), 0'(3(0(0(0(2(z0)))))), 3'(0(0(0(2(z0))))), 0'(0(0(2(z0)))), 0'(0(2(z0))), 0'(2(z0)), 2'(z0))
   0'(c_0(c_3(c_2(c_0(c_0(c_1(c_0(c_1(c_3(c_2(c_3(c_2(c_2(c_2(c_0(c_1(c_1(z0)))))))))))))))))) -> c14(2'(0(0(1(3(1(2(1(2(0(3(2(0(0(3(0(1(2(z0)))))))))))))))))), 0'(0(1(3(1(2(1(2(0(3(2(0(0(3(0(1(2(z0))))))))))))))))), 0'(1(3(1(2(1(2(0(3(2(0(0(3(0(1(2(z0)))))))))))))))), 1'(3(1(2(1(2(0(3(2(0(0(3(0(1(2(z0))))))))))))))), 3'(1(2(1(2(0(3(2(0(0(3(0(1(2(z0)))))))))))))), 1'(2(1(2(0(3(2(0(0(3(0(1(2(z0))))))))))))), 2'(1(2(0(3(2(0(0(3(0(1(2(z0)))))))))))), 1'(2(0(3(2(0(0(3(0(1(2(z0))))))))))), 2'(0(3(2(0(0(3(0(1(2(z0)))))))))), 0'(3(2(0(0(3(0(1(2(z0))))))))), 3'(2(0(0(3(0(1(2(z0)))))))), 2'(0(0(3(0(1(2(z0))))))), 0'(0(3(0(1(2(z0)))))), 0'(3(0(1(2(z0))))), 3'(0(1(2(z0)))), 0'(1(2(z0))), 1'(2(z0)), 2'(z0))
   0'(c_2(c_2(c_2(c_2(c_2(c_1(c_3(c_1(c_0(c_1(c_2(c_3(c_2(c_0(c_1(c_1(c_2(z0)))))))))))))))))) -> c15(2'(1(2(1(2(3(2(1(2(1(2(0(0(2(0(1(3(2(z0)))))))))))))))))), 1'(2(1(2(3(2(1(2(1(2(0(0(2(0(1(3(2(z0))))))))))))))))), 2'(1(2(3(2(1(2(1(2(0(0(2(0(1(3(2(z0)))))))))))))))), 1'(2(3(2(1(2(1(2(0(0(2(0(1(3(2(z0))))))))))))))), 2'(3(2(1(2(1(2(0(0(2(0(1(3(2(z0)))))))))))))), 3'(2(1(2(1(2(0(0(2(0(1(3(2(z0))))))))))))), 2'(1(2(1(2(0(0(2(0(1(3(2(z0)))))))))))), 1'(2(1(2(0(0(2(0(1(3(2(z0))))))))))), 2'(1(2(0(0(2(0(1(3(2(z0)))))))))), 1'(2(0(0(2(0(1(3(2(z0))))))))), 2'(0(0(2(0(1(3(2(z0)))))))), 0'(0(2(0(1(3(2(z0))))))), 0'(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))
   0'(c_0(c_2(c_1(c_0(c_0(c_1(c_0(c_1(c_0(c_3(c_1(c_3(c_3(c_2(c_0(c_1(c_1(z0)))))))))))))))))) -> c16(3'(0(0(2(0(1(1(0(2(0(3(1(0(1(0(3(1(1(z0)))))))))))))))))), 0'(0(2(0(1(1(0(2(0(3(1(0(1(0(3(1(1(z0))))))))))))))))), 0'(2(0(1(1(0(2(0(3(1(0(1(0(3(1(1(z0)))))))))))))))), 2'(0(1(1(0(2(0(3(1(0(1(0(3(1(1(z0))))))))))))))), 0'(1(1(0(2(0(3(1(0(1(0(3(1(1(z0)))))))))))))), 1'(1(0(2(0(3(1(0(1(0(3(1(1(z0))))))))))))), 1'(0(2(0(3(1(0(1(0(3(1(1(z0)))))))))))), 0'(2(0(3(1(0(1(0(3(1(1(z0))))))))))), 2'(0(3(1(0(1(0(3(1(1(z0)))))))))), 0'(3(1(0(1(0(3(1(1(z0))))))))), 3'(1(0(1(0(3(1(1(z0)))))))), 1'(0(1(0(3(1(1(z0))))))), 0'(1(0(3(1(1(z0)))))), 1'(0(3(1(1(z0))))), 0'(3(1(1(z0)))), 3'(1(1(z0))), 1'(1(z0)), 1'(z0))
   0'(c_0(c_0(c_1(c_3(c_2(c_2(c_3(c_0(c_2(c_2(c_0(c_1(c_0(c_0(c_0(c_1(c_2(z0)))))))))))))))))) -> c17(0'(3(0(0(3(0(2(1(2(1(0(0(1(2(0(2(0(2(z0)))))))))))))))))), 3'(0(0(3(0(2(1(2(1(0(0(1(2(0(2(0(2(z0))))))))))))))))), 0'(0(3(0(2(1(2(1(0(0(1(2(0(2(0(2(z0)))))))))))))))), 0'(3(0(2(1(2(1(0(0(1(2(0(2(0(2(z0))))))))))))))), 3'(0(2(1(2(1(0(0(1(2(0(2(0(2(z0)))))))))))))), 0'(2(1(2(1(0(0(1(2(0(2(0(2(z0))))))))))))), 2'(1(2(1(0(0(1(2(0(2(0(2(z0)))))))))))), 1'(2(1(0(0(1(2(0(2(0(2(z0))))))))))), 2'(1(0(0(1(2(0(2(0(2(z0)))))))))), 1'(0(0(1(2(0(2(0(2(z0))))))))), 0'(0(1(2(0(2(0(2(z0)))))))), 0'(1(2(0(2(0(2(z0))))))), 1'(2(0(2(0(2(z0)))))), 2'(0(2(0(2(z0))))), 0'(2(0(2(z0)))), 2'(0(2(z0))), 0'(2(z0)), 2'(z0))
   0'(c_2(c_2(c_1(c_3(c_0(c_0(c_1(c_3(c_0(c_1(c_0(c_3(c_3(c_2(c_0(c_1(c_3(z0)))))))))))))))))) -> c18(3'(0(1(3(3(0(0(0(0(2(1(2(0(3(1(2(1(3(z0)))))))))))))))))), 0'(1(3(3(0(0(0(0(2(1(2(0(3(1(2(1(3(z0))))))))))))))))), 1'(3(3(0(0(0(0(2(1(2(0(3(1(2(1(3(z0)))))))))))))))), 3'(3(0(0(0(0(2(1(2(0(3(1(2(1(3(z0))))))))))))))), 3'(0(0(0(0(2(1(2(0(3(1(2(1(3(z0)))))))))))))), 0'(0(0(0(2(1(2(0(3(1(2(1(3(z0))))))))))))), 0'(0(0(2(1(2(0(3(1(2(1(3(z0)))))))))))), 0'(0(2(1(2(0(3(1(2(1(3(z0))))))))))), 0'(2(1(2(0(3(1(2(1(3(z0)))))))))), 2'(1(2(0(3(1(2(1(3(z0))))))))), 1'(2(0(3(1(2(1(3(z0)))))))), 2'(0(3(1(2(1(3(z0))))))), 0'(3(1(2(1(3(z0)))))), 3'(1(2(1(3(z0))))), 1'(2(1(3(z0)))), 2'(1(3(z0))), 1'(3(z0)), 3'(z0))
   0'(c_2(c_3(c_1(c_3(c_3(c_1(c_3(c_2(c_3(c_2(c_2(c_1(c_0(c_1(c_1(c_1(c_1(z0)))))))))))))))))) -> c19(1'(0(3(3(3(3(1(1(2(2(3(1(2(1(2(0(1(1(z0)))))))))))))))))), 0'(3(3(3(3(1(1(2(2(3(1(2(1(2(0(1(1(z0))))))))))))))))), 3'(3(3(3(1(1(2(2(3(1(2(1(2(0(1(1(z0)))))))))))))))), 3'(3(3(1(1(2(2(3(1(2(1(2(0(1(1(z0))))))))))))))), 3'(3(1(1(2(2(3(1(2(1(2(0(1(1(z0)))))))))))))), 3'(1(1(2(2(3(1(2(1(2(0(1(1(z0))))))))))))), 1'(1(2(2(3(1(2(1(2(0(1(1(z0)))))))))))), 1'(2(2(3(1(2(1(2(0(1(1(z0))))))))))), 2'(2(3(1(2(1(2(0(1(1(z0)))))))))), 2'(3(1(2(1(2(0(1(1(z0))))))))), 3'(1(2(1(2(0(1(1(z0)))))))), 1'(2(1(2(0(1(1(z0))))))), 2'(1(2(0(1(1(z0)))))), 1'(2(0(1(1(z0))))), 2'(0(1(1(z0)))), 0'(1(1(z0))), 1'(1(z0)), 1'(z0))
   0'(c_1(c_1(c_0(c_0(c_2(c_2(c_0(c_3(c_2(c_1(c_0(c_3(c_1(c_1(c_0(c_2(c_2(z0)))))))))))))))))) -> c20(0'(0(0(2(1(2(0(1(1(2(1(0(3(3(1(0(2(2(z0)))))))))))))))))), 0'(0(2(1(2(0(1(1(2(1(0(3(3(1(0(2(2(z0))))))))))))))))), 0'(2(1(2(0(1(1(2(1(0(3(3(1(0(2(2(z0)))))))))))))))), 2'(1(2(0(1(1(2(1(0(3(3(1(0(2(2(z0))))))))))))))), 1'(2(0(1(1(2(1(0(3(3(1(0(2(2(z0)))))))))))))), 2'(0(1(1(2(1(0(3(3(1(0(2(2(z0))))))))))))), 0'(1(1(2(1(0(3(3(1(0(2(2(z0)))))))))))), 1'(1(2(1(0(3(3(1(0(2(2(z0))))))))))), 1'(2(1(0(3(3(1(0(2(2(z0)))))))))), 2'(1(0(3(3(1(0(2(2(z0))))))))), 1'(0(3(3(1(0(2(2(z0)))))))), 0'(3(3(1(0(2(2(z0))))))), 3'(3(1(0(2(2(z0)))))), 3'(1(0(2(2(z0))))), 1'(0(2(2(z0)))), 0'(2(2(z0))), 2'(2(z0)), 2'(z0))
   0'(c_1(c_0(c_1(c_0(c_3(c_0(c_1(c_3(c_1(c_3(c_0(c_1(c_0(c_1(c_3(c_2(c_1(z0)))))))))))))))))) -> c21(0'(1(2(0(3(1(0(0(1(1(0(1(3(1(0(3(3(1(z0)))))))))))))))))), 1'(2(0(3(1(0(0(1(1(0(1(3(1(0(3(3(1(z0))))))))))))))))), 2'(0(3(1(0(0(1(1(0(1(3(1(0(3(3(1(z0)))))))))))))))), 0'(3(1(0(0(1(1(0(1(3(1(0(3(3(1(z0))))))))))))))), 3'(1(0(0(1(1(0(1(3(1(0(3(3(1(z0)))))))))))))), 1'(0(0(1(1(0(1(3(1(0(3(3(1(z0))))))))))))), 0'(0(1(1(0(1(3(1(0(3(3(1(z0)))))))))))), 0'(1(1(0(1(3(1(0(3(3(1(z0))))))))))), 1'(1(0(1(3(1(0(3(3(1(z0)))))))))), 1'(0(1(3(1(0(3(3(1(z0))))))))), 0'(1(3(1(0(3(3(1(z0)))))))), 1'(3(1(0(3(3(1(z0))))))), 3'(1(0(3(3(1(z0)))))), 1'(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_2(c_1(c_3(c_1(c_2(c_2(c_3(c_3(c_0(c_2(c_1(c_0(c_1(c_3(c_2(c_1(z0)))))))))))))))))) -> c79(3'(2(3(1(1(2(3(0(2(1(3(1(1(2(3(0(2(2(z0)))))))))))))))))), 2'(3(1(1(2(3(0(2(1(3(1(1(2(3(0(2(2(z0))))))))))))))))), 3'(1(1(2(3(0(2(1(3(1(1(2(3(0(2(2(z0)))))))))))))))), 1'(1(2(3(0(2(1(3(1(1(2(3(0(2(2(z0))))))))))))))), 1'(2(3(0(2(1(3(1(1(2(3(0(2(2(z0)))))))))))))), 2'(3(0(2(1(3(1(1(2(3(0(2(2(z0))))))))))))), 3'(0(2(1(3(1(1(2(3(0(2(2(z0)))))))))))), 0'(2(1(3(1(1(2(3(0(2(2(z0))))))))))), 2'(1(3(1(1(2(3(0(2(2(z0)))))))))), 1'(3(1(1(2(3(0(2(2(z0))))))))), 3'(1(1(2(3(0(2(2(z0)))))))), 1'(1(2(3(0(2(2(z0))))))), 1'(2(3(0(2(2(z0)))))), 2'(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_1(c_2(c_2(c_3(c_1(c_0(c_1(c_1(c_1(c_1(c_3(c_2(c_1(c_1(c_1(c_3(c_1(z0)))))))))))))))))) -> c81(3'(1(1(2(2(3(1(1(0(1(2(1(1(3(1(1(3(1(z0)))))))))))))))))), 1'(1(2(2(3(1(1(0(1(2(1(1(3(1(1(3(1(z0))))))))))))))))), 1'(2(2(3(1(1(0(1(2(1(1(3(1(1(3(1(z0)))))))))))))))), 2'(2(3(1(1(0(1(2(1(1(3(1(1(3(1(z0))))))))))))))), 2'(3(1(1(0(1(2(1(1(3(1(1(3(1(z0)))))))))))))), 3'(1(1(0(1(2(1(1(3(1(1(3(1(z0))))))))))))), 1'(1(0(1(2(1(1(3(1(1(3(1(z0)))))))))))), 1'(0(1(2(1(1(3(1(1(3(1(z0))))))))))), 0'(1(2(1(1(3(1(1(3(1(z0)))))))))), 1'(2(1(1(3(1(1(3(1(z0))))))))), 2'(1(1(3(1(1(3(1(z0)))))))), 1'(1(3(1(1(3(1(z0))))))), 1'(3(1(1(3(1(z0)))))), 3'(1(1(3(1(z0))))), 1'(1(3(1(z0)))), 1'(3(1(z0))), 3'(1(z0)), 1'(z0))
   3'(c_3(c_1(c_3(c_3(c_2(c_1(c_3(c_2(c_3(c_3(c_2(c_3(c_1(c_3(c_2(c_3(c_1(z0)))))))))))))))))) -> c82(3'(1(3(1(2(2(3(3(3(3(3(3(3(2(2(1(3(1(z0)))))))))))))))))), 1'(3(1(2(2(3(3(3(3(3(3(3(2(2(1(3(1(z0))))))))))))))))), 3'(1(2(2(3(3(3(3(3(3(3(2(2(1(3(1(z0)))))))))))))))), 1'(2(2(3(3(3(3(3(3(3(2(2(1(3(1(z0))))))))))))))), 2'(2(3(3(3(3(3(3(3(2(2(1(3(1(z0)))))))))))))), 2'(3(3(3(3(3(3(3(2(2(1(3(1(z0))))))))))))), 3'(3(3(3(3(3(3(2(2(1(3(1(z0)))))))))))), 3'(3(3(3(3(3(2(2(1(3(1(z0))))))))))), 3'(3(3(3(3(2(2(1(3(1(z0)))))))))), 3'(3(3(3(2(2(1(3(1(z0))))))))), 3'(3(3(2(2(1(3(1(z0)))))))), 3'(3(2(2(1(3(1(z0))))))), 3'(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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   3'(c_0(c_1(c_0(c_2(c_1(c_0(c_0(c_0(c_0(c_1(c_1(c_3(c_2(c_2(c_3(c_0(c_1(z0)))))))))))))))))) -> c85(3'(0(0(3(0(3(2(1(1(0(0(0(2(1(1(1(0(2(z0)))))))))))))))))), 0'(0(3(0(3(2(1(1(0(0(0(2(1(1(1(0(2(z0))))))))))))))))), 0'(3(0(3(2(1(1(0(0(0(2(1(1(1(0(2(z0)))))))))))))))), 3'(0(3(2(1(1(0(0(0(2(1(1(1(0(2(z0))))))))))))))), 0'(3(2(1(1(0(0(0(2(1(1(1(0(2(z0)))))))))))))), 3'(2(1(1(0(0(0(2(1(1(1(0(2(z0))))))))))))), 2'(1(1(0(0(0(2(1(1(1(0(2(z0)))))))))))), 1'(1(0(0(0(2(1(1(1(0(2(z0))))))))))), 1'(0(0(0(2(1(1(1(0(2(z0)))))))))), 0'(0(0(2(1(1(1(0(2(z0))))))))), 0'(0(2(1(1(1(0(2(z0)))))))), 0'(2(1(1(1(0(2(z0))))))), 2'(1(1(1(0(2(z0)))))), 1'(1(1(0(2(z0))))), 1'(1(0(2(z0)))), 1'(0(2(z0))), 0'(2(z0)), 2'(z0))
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K tuples:none
Defined Rule Symbols:   3_1, 0_1, 2_1, 1_1, encArg_1, encode_0_1, encode_1_1, encode_3_1, encode_2_1

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

Compound Symbols:   c_2, c1_2, c2_2, c3_2, c9_18, c10_18, c11_18, c12_18, c13_18, c14_18, c15_18, c16_18, c17_18, c18_18, c19_18, c20_18, c21_18, c22_18, c23_18, c24_18, c25_18, c26_18, c27_18, c28_18, c29_18, c30_18, c31_18, c32_18, c33_18, c35_18, c36_18, c37_18, c38_18, c39_18, c40_18, c41_18, c42_18, c43_18, c44_18, c45_18, c46_18, c47_18, c48_18, c49_18, c50_18, c51_18, c52_18, c53_18, c54_18, c55_18, c57_18, c58_18, c59_18, c60_18, c61_18, c62_18, c63_18, c64_18, c65_18, c67_18, c68_18, c69_18, c70_18, c71_18, c72_18, c73_18, c74_18, c75_18, c76_18, c77_18, c78_18, c79_18, c80_18, c81_18, c82_18, c83_18, c84_18, c85_18, c86_18, c87_18, c88_18, c89_18, c90_18, c91_18, c8_1


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

(43) CdtLeafRemovalProof (ComplexityIfPolyImplication)
Removed 4 leading nodes:
   ENCODE_0(z0) -> c8(ENCARG(z0))
   ENCODE_1(z0) -> c8(ENCARG(z0))
   ENCODE_3(z0) -> c8(ENCARG(z0))
   ENCODE_2(z0) -> c8(ENCARG(z0))

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

(44)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(cons_0(z0)) -> 0(encArg(z0))
   encArg(cons_1(z0)) -> 1(encArg(z0))
   encArg(cons_2(z0)) -> 2(encArg(z0))
   encArg(cons_3(z0)) -> 3(encArg(z0))
   encode_0(z0) -> 0(encArg(z0))
   encode_1(z0) -> 1(encArg(z0))
   encode_3(z0) -> 3(encArg(z0))
   encode_2(z0) -> 2(encArg(z0))
   0(z0) -> c_0(z0)
   0(c_2(c_3(c_3(c_2(c_1(c_3(c_0(c_1(c_3(c_1(c_3(c_3(c_0(c_2(c_1(c_0(c_1(z0)))))))))))))))))) -> 0(2(3(3(0(3(1(0(2(3(1(0(3(3(2(1(1(1(z0))))))))))))))))))
   0(c_3(c_1(c_0(c_2(c_2(c_1(c_0(c_1(c_1(c_0(c_0(c_3(c_1(c_2(c_2(c_3(c_0(z0)))))))))))))))))) -> 0(3(1(1(0(3(2(0(2(1(2(2(0(3(1(1(0(0(z0))))))))))))))))))
   0(c_1(c_0(c_3(c_2(c_2(c_3(c_2(c_0(c_1(c_1(c_1(c_1(c_0(c_1(c_0(c_1(c_1(z0)))))))))))))))))) -> 1(2(3(1(1(0(0(1(1(3(0(0(2(0(2(1(1(1(z0))))))))))))))))))
   0(c_2(c_0(c_2(c_2(c_1(c_1(c_0(c_2(c_0(c_0(c_0(c_1(c_0(c_3(c_0(c_2(c_0(z0)))))))))))))))))) -> 0(2(1(1(1(0(2(0(2(0(0(0(0(3(2(0(2(0(z0))))))))))))))))))
   0(c_0(c_2(c_0(c_0(c_0(c_1(c_1(c_0(c_2(c_2(c_3(c_3(c_0(c_0(c_3(c_0(c_2(z0)))))))))))))))))) -> 0(2(0(0(3(1(1(2(3(0(2(0(0(3(0(0(0(2(z0))))))))))))))))))
   0(c_0(c_3(c_2(c_0(c_0(c_1(c_0(c_1(c_3(c_2(c_3(c_2(c_2(c_2(c_0(c_1(c_1(z0)))))))))))))))))) -> 2(0(0(1(3(1(2(1(2(0(3(2(0(0(3(0(1(2(z0))))))))))))))))))
   0(c_2(c_2(c_2(c_2(c_2(c_1(c_3(c_1(c_0(c_1(c_2(c_3(c_2(c_0(c_1(c_1(c_2(z0)))))))))))))))))) -> 2(1(2(1(2(3(2(1(2(1(2(0(0(2(0(1(3(2(z0))))))))))))))))))
   0(c_0(c_2(c_1(c_0(c_0(c_1(c_0(c_1(c_0(c_3(c_1(c_3(c_3(c_2(c_0(c_1(c_1(z0)))))))))))))))))) -> 3(0(0(2(0(1(1(0(2(0(3(1(0(1(0(3(1(1(z0))))))))))))))))))
   0(c_0(c_0(c_1(c_3(c_2(c_2(c_3(c_0(c_2(c_2(c_0(c_1(c_0(c_0(c_0(c_1(c_2(z0)))))))))))))))))) -> 0(3(0(0(3(0(2(1(2(1(0(0(1(2(0(2(0(2(z0))))))))))))))))))
   0(c_2(c_2(c_1(c_3(c_0(c_0(c_1(c_3(c_0(c_1(c_0(c_3(c_3(c_2(c_0(c_1(c_3(z0)))))))))))))))))) -> 3(0(1(3(3(0(0(0(0(2(1(2(0(3(1(2(1(3(z0))))))))))))))))))
   0(c_2(c_3(c_1(c_3(c_3(c_1(c_3(c_2(c_3(c_2(c_2(c_1(c_0(c_1(c_1(c_1(c_1(z0)))))))))))))))))) -> 1(0(3(3(3(3(1(1(2(2(3(1(2(1(2(0(1(1(z0))))))))))))))))))
   0(c_1(c_1(c_0(c_0(c_2(c_2(c_0(c_3(c_2(c_1(c_0(c_3(c_1(c_1(c_0(c_2(c_2(z0)))))))))))))))))) -> 0(0(0(2(1(2(0(1(1(2(1(0(3(3(1(0(2(2(z0))))))))))))))))))
   0(c_1(c_0(c_1(c_0(c_3(c_0(c_1(c_3(c_1(c_3(c_0(c_1(c_0(c_1(c_3(c_2(c_1(z0)))))))))))))))))) -> 0(1(2(0(3(1(0(0(1(1(0(1(3(1(0(3(3(1(z0))))))))))))))))))
   0(c_2(c_2(c_2(c_3(c_3(c_0(c_1(c_3(c_1(c_1(c_1(c_0(c_1(c_3(c_2(c_0(c_2(z0)))))))))))))))))) -> 2(1(1(0(3(3(0(1(3(1(2(3(2(0(1(2(0(2(z0))))))))))))))))))
   0(c_0(c_1(c_3(c_2(c_1(c_0(c_1(c_2(c_2(c_1(c_1(c_1(c_1(c_2(c_3(c_2(c_2(z0)))))))))))))))))) -> 0(1(1(1(2(1(2(1(3(2(3(0(1(2(0(1(2(2(z0))))))))))))))))))
   0(c_2(c_2(c_0(c_3(c_1(c_3(c_1(c_3(c_3(c_1(c_2(c_1(c_0(c_0(c_2(c_0(c_1(z0)))))))))))))))))) -> 0(2(0(1(1(2(3(3(1(1(3(0(2(0(2(0(3(1(z0))))))))))))))))))
   0(c_2(c_3(c_1(c_3(c_2(c_3(c_1(c_1(c_0(c_2(c_3(c_2(c_1(c_0(c_0(c_1(c_2(z0)))))))))))))))))) -> 0(2(3(3(2(3(2(0(1(2(0(1(1(1(0(3(1(2(z0))))))))))))))))))
   0(c_2(c_3(c_2(c_1(c_1(c_3(c_3(c_1(c_3(c_0(c_1(c_0(c_1(c_1(c_3(c_2(c_1(z0)))))))))))))))))) -> 0(2(3(1(2(1(1(1(2(0(3(3(3(3(0(1(1(1(z0))))))))))))))))))
   0(c_0(c_1(c_1(c_3(c_2(c_3(c_2(c_3(c_2(c_0(c_0(c_2(c_3(c_2(c_3(c_1(c_0(z0)))))))))))))))))) -> 2(3(0(2(1(2(3(1(2(3(0(3(3(1(0(2(0(0(z0))))))))))))))))))
   0(c_0(c_2(c_0(c_3(c_2(c_2(c_3(c_3(c_1(c_3(c_2(c_1(c_1(c_3(c_0(c_0(c_1(z0)))))))))))))))))) -> 0(0(3(1(1(0(3(2(2(0(2(3(3(1(2(3(0(1(z0))))))))))))))))))
   0(c_3(c_1(c_0(c_0(c_3(c_0(c_0(c_1(c_0(c_3(c_2(c_1(c_3(c_0(c_0(c_1(c_2(z0)))))))))))))))))) -> 0(0(3(1(1(3(1(0(0(2(1(0(3(0(0(0(3(2(z0))))))))))))))))))
   0(c_3(c_0(c_1(c_3(c_1(c_3(c_2(c_0(c_1(c_0(c_1(c_0(c_0(c_3(c_1(c_1(c_3(z0)))))))))))))))))) -> 0(3(2(0(3(1(3(1(1(0(3(0(0(1(0(1(1(3(z0))))))))))))))))))
   0(c_0(c_3(c_3(c_1(c_3(c_3(c_0(c_1(c_3(c_2(c_3(c_3(c_3(c_0(c_3(c_3(c_3(z0)))))))))))))))))) -> 0(3(0(3(3(1(3(0(3(3(3(1(3(0(3(2(3(3(z0))))))))))))))))))
   0(c_0(c_2(c_0(c_1(c_1(c_2(c_0(c_1(c_0(c_1(c_0(c_1(c_0(c_2(c_3(c_2(c_0(z0)))))))))))))))))) -> 0(0(0(2(2(2(0(3(0(1(1(1(1(1(0(0(2(0(z0))))))))))))))))))
   0(c_0(c_3(c_1(c_0(c_0(c_2(c_2(c_0(c_0(c_0(c_2(c_2(c_3(c_2(c_2(c_2(c_0(z0)))))))))))))))))) -> 0(0(2(0(2(0(0(2(2(0(2(3(1(3(0(2(2(0(z0))))))))))))))))))
   1(z0) -> c_1(z0)
   1(c_0(c_0(c_0(c_3(c_0(c_2(c_3(c_1(c_2(c_3(c_1(c_1(c_2(c_2(c_2(c_2(c_3(z0)))))))))))))))))) -> 1(3(0(2(1(2(0(1(2(0(0(2(2(1(3(3(2(3(z0))))))))))))))))))
   1(c_3(c_1(c_3(c_2(c_2(c_0(c_0(c_0(c_0(c_1(c_3(c_2(c_0(c_1(c_3(c_3(c_0(z0)))))))))))))))))) -> 1(2(0(0(0(0(0(3(1(3(3(3(2(1(2(3(1(0(z0))))))))))))))))))
   1(c_1(c_2(c_0(c_2(c_2(c_1(c_2(c_3(c_2(c_3(c_1(c_0(c_0(c_1(c_3(c_0(c_2(z0)))))))))))))))))) -> 1(2(2(1(1(2(0(3(1(0(3(1(0(2(2(3(0(2(z0))))))))))))))))))
   1(c_0(c_3(c_2(c_3(c_2(c_2(c_0(c_3(c_2(c_2(c_1(c_1(c_0(c_3(c_2(c_3(c_3(z0)))))))))))))))))) -> 1(2(3(0(2(2(3(0(2(3(2(1(3(1(2(0(3(3(z0))))))))))))))))))
   1(c_1(c_0(c_1(c_1(c_3(c_2(c_0(c_2(c_1(c_2(c_2(c_1(c_2(c_3(c_1(c_1(c_1(z0)))))))))))))))))) -> 1(1(0(3(2(3(1(2(1(2(0(2(2(1(1(1(1(1(z0))))))))))))))))))
   1(c_3(c_2(c_3(c_0(c_3(c_3(c_3(c_1(c_3(c_3(c_1(c_3(c_3(c_3(c_2(c_2(c_0(z0)))))))))))))))))) -> 1(3(3(3(1(1(0(2(3(3(3(3(3(2(0(3(2(3(z0))))))))))))))))))
   1(c_3(c_3(c_1(c_1(c_3(c_0(c_2(c_0(c_1(c_3(c_1(c_3(c_0(c_3(c_2(c_2(c_1(z0)))))))))))))))))) -> 1(3(3(3(0(1(1(2(0(3(1(1(2(3(3(0(2(1(z0))))))))))))))))))
   1(c_0(c_0(c_0(c_1(c_3(c_2(c_2(c_2(c_2(c_2(c_3(c_1(c_3(c_1(c_1(c_1(c_1(z0)))))))))))))))))) -> 1(2(1(1(3(2(0(1(0(2(1(0(2(3(1(2(3(1(z0))))))))))))))))))
   1(c_1(c_0(c_0(c_3(c_2(c_2(c_2(c_2(c_0(c_3(c_2(c_2(c_0(c_0(c_1(c_0(c_0(z0)))))))))))))))))) -> 1(3(3(0(0(2(0(1(2(2(2(0(2(1(0(2(0(0(z0))))))))))))))))))
   1(c_0(c_1(c_0(c_1(c_3(c_0(c_2(c_3(c_0(c_1(c_3(c_3(c_2(c_1(c_0(c_1(c_3(z0)))))))))))))))))) -> 1(3(3(2(1(2(0(1(3(1(3(0(0(0(1(0(1(3(z0))))))))))))))))))
   1(c_0(c_1(c_1(c_3(c_2(c_1(c_1(c_0(c_0(c_0(c_1(c_3(c_0(c_0(c_0(c_1(c_0(z0)))))))))))))))))) -> 1(3(1(1(1(0(1(3(0(0(0(0(1(1(0(0(2(0(z0))))))))))))))))))
   1(c_0(c_2(c_3(c_0(c_1(c_0(c_2(c_0(c_1(c_0(c_3(c_1(c_2(c_2(c_2(c_3(c_1(z0)))))))))))))))))) -> 1(0(3(0(0(0(2(2(3(3(1(2(0(1(2(1(2(1(z0))))))))))))))))))
   1(c_2(c_2(c_1(c_2(c_2(c_1(c_0(c_1(c_2(c_1(c_1(c_0(c_2(c_3(c_2(c_2(c_0(z0)))))))))))))))))) -> 1(2(1(2(2(1(2(1(0(1(2(2(0(2(3(1(2(0(z0))))))))))))))))))
   1(c_1(c_1(c_0(c_1(c_1(c_3(c_2(c_3(c_0(c_0(c_3(c_3(c_3(c_2(c_2(c_2(c_1(z0)))))))))))))))))) -> 1(0(3(0(0(3(3(1(2(3(1(2(1(1(2(3(1(2(z0))))))))))))))))))
   1(c_1(c_3(c_3(c_2(c_1(c_1(c_1(c_3(c_3(c_1(c_1(c_0(c_2(c_0(c_2(c_1(c_2(z0)))))))))))))))))) -> 1(1(2(3(1(3(0(1(1(1(2(3(0(2(3(1(1(2(z0))))))))))))))))))
   1(c_0(c_3(c_0(c_2(c_0(c_3(c_0(c_1(c_1(c_2(c_3(c_0(c_1(c_3(c_2(c_0(c_3(z0)))))))))))))))))) -> 1(0(2(1(0(1(0(2(0(3(3(3(1(2(0(0(3(3(z0))))))))))))))))))
   1(c_1(c_1(c_0(c_1(c_1(c_2(c_2(c_2(c_1(c_0(c_1(c_1(c_1(c_3(c_3(c_0(c_3(z0)))))))))))))))))) -> 1(2(0(3(1(1(1(0(1(2(1(2(1(1(1(3(0(3(z0))))))))))))))))))
   1(c_0(c_1(c_3(c_2(c_0(c_2(c_1(c_3(c_3(c_2(c_1(c_3(c_2(c_2(c_0(c_1(c_2(z0)))))))))))))))))) -> 1(3(1(2(1(3(3(1(0(0(0(2(1(3(2(2(2(2(z0))))))))))))))))))
   1(c_1(c_3(c_3(c_1(c_0(c_2(c_3(c_2(c_1(c_3(c_2(c_0(c_1(c_1(c_1(c_1(c_1(z0)))))))))))))))))) -> 1(3(1(1(1(1(1(2(1(1(3(0(3(3(0(2(2(1(z0))))))))))))))))))
   1(c_3(c_0(c_1(c_3(c_2(c_2(c_2(c_2(c_1(c_0(c_0(c_1(c_2(c_2(c_0(c_0(c_1(z0)))))))))))))))))) -> 1(2(2(1(1(2(1(2(0(0(3(1(2(0(0(0(3(2(z0))))))))))))))))))
   1(c_3(c_1(c_2(c_2(c_2(c_1(c_3(c_3(c_0(c_1(c_1(c_0(c_0(c_2(c_2(c_3(c_2(z0)))))))))))))))))) -> 1(2(2(3(0(2(3(0(3(2(3(1(1(0(1(2(1(2(z0))))))))))))))))))
   2(z0) -> c_2(z0)
   2(c_0(c_2(c_2(c_3(c_2(c_0(c_2(c_0(c_1(c_1(c_3(c_1(c_3(c_3(c_3(c_2(c_0(z0)))))))))))))))))) -> 2(3(1(2(1(2(0(2(2(1(0(0(3(3(2(0(3(3(z0))))))))))))))))))
   2(c_1(c_0(c_0(c_2(c_2(c_2(c_0(c_1(c_3(c_1(c_3(c_2(c_3(c_2(c_1(c_1(c_2(z0)))))))))))))))))) -> 2(2(0(0(3(0(2(2(1(2(3(1(2(3(1(1(1(2(z0))))))))))))))))))
   2(c_0(c_2(c_0(c_0(c_1(c_1(c_1(c_3(c_1(c_1(c_3(c_2(c_3(c_1(c_3(c_2(c_3(z0)))))))))))))))))) -> 2(0(1(1(1(0(3(1(2(1(0(1(2(3(3(3(2(3(z0))))))))))))))))))
   2(c_3(c_1(c_0(c_0(c_3(c_1(c_0(c_1(c_3(c_0(c_1(c_2(c_2(c_2(c_2(c_0(c_2(z0)))))))))))))))))) -> 2(0(2(0(0(1(1(2(3(1(1(0(2(3(2(3(0(2(z0))))))))))))))))))
   2(c_1(c_3(c_3(c_2(c_1(c_2(c_3(c_1(c_3(c_3(c_1(c_2(c_1(c_2(c_2(c_0(c_3(z0)))))))))))))))))) -> 2(2(1(1(1(2(2(2(1(2(1(0(3(3(3(3(3(3(z0))))))))))))))))))
   2(c_1(c_0(c_2(c_1(c_0(c_0(c_1(c_1(c_2(c_2(c_2(c_2(c_2(c_2(c_2(c_2(c_1(z0)))))))))))))))))) -> 2(0(0(1(2(2(2(1(2(2(2(0(1(2(1(2(2(1(z0))))))))))))))))))
   2(c_3(c_0(c_1(c_0(c_0(c_3(c_1(c_0(c_3(c_2(c_3(c_2(c_2(c_2(c_3(c_3(c_2(z0)))))))))))))))))) -> 2(3(2(3(0(0(2(2(2(1(1(0(3(2(0(3(3(3(z0))))))))))))))))))
   2(c_2(c_3(c_1(c_0(c_3(c_2(c_2(c_2(c_2(c_3(c_1(c_3(c_3(c_0(c_2(c_3(c_2(z0)))))))))))))))))) -> 2(2(3(0(3(1(2(3(3(3(0(2(1(2(2(3(2(2(z0))))))))))))))))))
   2(c_1(c_1(c_3(c_2(c_0(c_0(c_0(c_2(c_1(c_0(c_2(c_2(c_3(c_2(c_3(c_2(c_0(z0)))))))))))))))))) -> 2(0(0(2(0(2(2(1(2(1(2(3(0(3(2(3(1(0(z0))))))))))))))))))
   3(z0) -> c_3(z0)
   3(c_3(c_1(c_2(c_1(c_3(c_2(c_2(c_1(c_2(c_1(c_2(c_2(c_0(c_3(c_2(c_1(c_0(z0)))))))))))))))))) -> 3(0(2(1(2(1(2(2(3(1(2(0(2(1(1(2(3(3(z0))))))))))))))))))
   3(c_3(c_0(c_2(c_0(c_1(c_3(c_1(c_0(c_2(c_2(c_2(c_2(c_0(c_3(c_3(c_1(c_0(z0)))))))))))))))))) -> 3(3(2(0(3(1(0(2(1(2(3(0(1(0(2(3(2(0(z0))))))))))))))))))
   3(c_1(c_0(c_2(c_1(c_0(c_1(c_0(c_1(c_0(c_2(c_2(c_0(c_2(c_3(c_3(c_2(c_2(z0)))))))))))))))))) -> 0(3(0(0(0(2(3(2(1(3(0(2(2(1(1(1(2(2(z0))))))))))))))))))
   3(c_0(c_1(c_0(c_2(c_3(c_2(c_0(c_1(c_0(c_1(c_2(c_3(c_1(c_2(c_0(c_1(c_2(z0)))))))))))))))))) -> 3(0(1(1(1(1(2(2(3(0(1(2(0(3(0(2(0(2(z0))))))))))))))))))
   3(c_2(c_0(c_3(c_0(c_1(c_1(c_0(c_2(c_3(c_0(c_3(c_0(c_0(c_1(c_0(c_2(c_0(z0)))))))))))))))))) -> 3(2(0(0(1(1(1(0(0(3(3(2(3(0(0(0(2(0(z0))))))))))))))))))
   3(c_2(c_2(c_0(c_2(c_3(c_0(c_1(c_0(c_3(c_1(c_3(c_3(c_1(c_3(c_1(c_2(c_3(z0)))))))))))))))))) -> 3(2(0(3(1(2(0(3(3(1(1(1(0(2(3(2(3(3(z0))))))))))))))))))
   3(c_0(c_3(c_0(c_3(c_2(c_2(c_3(c_2(c_1(c_0(c_2(c_3(c_1(c_2(c_3(c_3(c_0(z0)))))))))))))))))) -> 3(1(2(1(2(3(2(0(2(3(2(0(0(3(3(3(3(0(z0))))))))))))))))))
   3(c_1(c_1(c_0(c_1(c_0(c_3(c_1(c_1(c_2(c_1(c_3(c_0(c_3(c_3(c_1(c_0(c_3(z0)))))))))))))))))) -> 3(1(1(1(3(1(1(1(0(3(0(0(1(2(3(3(0(3(z0))))))))))))))))))
   3(c_0(c_1(c_0(c_0(c_2(c_1(c_0(c_1(c_3(c_2(c_1(c_1(c_3(c_3(c_0(c_1(c_1(z0)))))))))))))))))) -> 3(0(0(2(3(1(1(1(0(1(3(0(1(0(3(2(1(1(z0))))))))))))))))))
   3(c_2(c_3(c_2(c_2(c_2(c_0(c_2(c_3(c_0(c_1(c_2(c_3(c_0(c_1(c_1(c_0(c_2(z0)))))))))))))))))) -> 3(2(2(3(3(0(3(1(2(2(0(1(0(0(2(2(1(2(z0))))))))))))))))))
   3(c_0(c_1(c_0(c_0(c_0(c_0(c_3(c_3(c_2(c_0(c_0(c_1(c_0(c_0(c_2(c_2(c_2(z0)))))))))))))))))) -> 0(2(0(3(0(0(2(0(3(3(0(0(0(2(1(0(1(2(z0))))))))))))))))))
   3(c_0(c_0(c_1(c_3(c_1(c_0(c_2(c_3(c_3(c_1(c_3(c_3(c_3(c_3(c_2(c_1(c_0(z0)))))))))))))))))) -> 3(0(3(1(1(2(2(1(3(0(3(3(0(3(3(3(1(0(z0))))))))))))))))))
   3(c_2(c_2(c_1(c_3(c_1(c_2(c_2(c_3(c_3(c_0(c_2(c_1(c_0(c_1(c_3(c_2(c_1(z0)))))))))))))))))) -> 3(2(3(1(1(2(3(0(2(1(3(1(1(2(3(0(2(2(z0))))))))))))))))))
   3(c_2(c_2(c_2(c_2(c_2(c_1(c_0(c_0(c_1(c_3(c_2(c_3(c_1(c_3(c_3(c_2(c_1(z0)))))))))))))))))) -> 3(2(3(1(0(2(2(2(1(3(3(2(1(0(2(2(3(1(z0))))))))))))))))))
   3(c_1(c_2(c_2(c_3(c_1(c_0(c_1(c_1(c_1(c_1(c_3(c_2(c_1(c_1(c_1(c_3(c_1(z0)))))))))))))))))) -> 3(1(1(2(2(3(1(1(0(1(2(1(1(3(1(1(3(1(z0))))))))))))))))))
   3(c_3(c_1(c_3(c_3(c_2(c_1(c_3(c_2(c_3(c_3(c_2(c_3(c_1(c_3(c_2(c_3(c_1(z0)))))))))))))))))) -> 3(1(3(1(2(2(3(3(3(3(3(3(3(2(2(1(3(1(z0))))))))))))))))))
   3(c_0(c_0(c_1(c_3(c_2(c_2(c_1(c_3(c_3(c_0(c_1(c_2(c_1(c_0(c_3(c_1(c_2(z0)))))))))))))))))) -> 3(0(1(1(3(3(0(2(3(1(2(1(3(0(2(0(1(2(z0))))))))))))))))))
   3(c_2(c_1(c_0(c_1(c_0(c_1(c_3(c_0(c_1(c_2(c_3(c_0(c_0(c_1(c_3(c_0(c_1(z0)))))))))))))))))) -> 3(0(0(3(0(3(3(0(0(1(1(0(1(2(1(2(1(1(z0))))))))))))))))))
   3(c_0(c_1(c_0(c_2(c_1(c_0(c_0(c_0(c_0(c_1(c_1(c_3(c_2(c_2(c_3(c_0(c_1(z0)))))))))))))))))) -> 3(0(0(3(0(3(2(1(1(0(0(0(2(1(1(1(0(2(z0))))))))))))))))))
   3(c_3(c_2(c_2(c_3(c_0(c_1(c_3(c_3(c_3(c_0(c_0(c_0(c_2(c_0(c_2(c_3(c_0(z0)))))))))))))))))) -> 3(3(3(0(3(2(0(2(3(0(2(2(0(1(3(0(3(0(z0))))))))))))))))))
   3(c_2(c_0(c_1(c_2(c_3(c_2(c_2(c_1(c_3(c_0(c_3(c_3(c_1(c_3(c_3(c_2(c_2(z0)))))))))))))))))) -> 3(2(0(1(2(0(1(3(3(2(3(3(3(3(1(2(2(2(z0))))))))))))))))))
   3(c_1(c_0(c_3(c_2(c_1(c_0(c_3(c_0(c_2(c_3(c_2(c_3(c_0(c_1(c_3(c_3(c_2(z0)))))))))))))))))) -> 3(1(0(3(1(3(3(3(0(2(3(0(3(2(2(0(1(2(z0))))))))))))))))))
   3(c_3(c_1(c_3(c_0(c_2(c_3(c_3(c_3(c_1(c_0(c_0(c_2(c_2(c_0(c_2(c_0(c_1(z0)))))))))))))))))) -> 3(0(0(2(0(0(3(0(3(3(2(1(2(1(2(3(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_2(c_0(c_3(c_2(c_1(c_0(z0)))))))))))))))))) -> 3(3(1(0(0(2(1(1(1(2(3(1(1(2(0(0(3(0(z0))))))))))))))))))
   3(c_2(c_2(c_2(c_2(c_3(c_3(c_1(c_3(c_1(c_1(c_3(c_3(c_1(c_2(c_2(c_3(c_2(z0)))))))))))))))))) -> 3(2(3(2(3(1(2(3(1(2(3(3(2(3(2(1(1(2(z0))))))))))))))))))
Tuples:
   ENCARG(cons_0(z0)) -> c(0'(encArg(z0)), ENCARG(z0))
   ENCARG(cons_1(z0)) -> c1(1'(encArg(z0)), ENCARG(z0))
   ENCARG(cons_2(z0)) -> c2(2'(encArg(z0)), ENCARG(z0))
   ENCARG(cons_3(z0)) -> c3(3'(encArg(z0)), ENCARG(z0))
   0'(c_2(c_3(c_3(c_2(c_1(c_3(c_0(c_1(c_3(c_1(c_3(c_3(c_0(c_2(c_1(c_0(c_1(z0)))))))))))))))))) -> c9(0'(2(3(3(0(3(1(0(2(3(1(0(3(3(2(1(1(1(z0)))))))))))))))))), 2'(3(3(0(3(1(0(2(3(1(0(3(3(2(1(1(1(z0))))))))))))))))), 3'(3(0(3(1(0(2(3(1(0(3(3(2(1(1(1(z0)))))))))))))))), 3'(0(3(1(0(2(3(1(0(3(3(2(1(1(1(z0))))))))))))))), 0'(3(1(0(2(3(1(0(3(3(2(1(1(1(z0)))))))))))))), 3'(1(0(2(3(1(0(3(3(2(1(1(1(z0))))))))))))), 1'(0(2(3(1(0(3(3(2(1(1(1(z0)))))))))))), 0'(2(3(1(0(3(3(2(1(1(1(z0))))))))))), 2'(3(1(0(3(3(2(1(1(1(z0)))))))))), 3'(1(0(3(3(2(1(1(1(z0))))))))), 1'(0(3(3(2(1(1(1(z0)))))))), 0'(3(3(2(1(1(1(z0))))))), 3'(3(2(1(1(1(z0)))))), 3'(2(1(1(1(z0))))), 2'(1(1(1(z0)))), 1'(1(1(z0))), 1'(1(z0)), 1'(z0))
   0'(c_3(c_1(c_0(c_2(c_2(c_1(c_0(c_1(c_1(c_0(c_0(c_3(c_1(c_2(c_2(c_3(c_0(z0)))))))))))))))))) -> c10(0'(3(1(1(0(3(2(0(2(1(2(2(0(3(1(1(0(0(z0)))))))))))))))))), 3'(1(1(0(3(2(0(2(1(2(2(0(3(1(1(0(0(z0))))))))))))))))), 1'(1(0(3(2(0(2(1(2(2(0(3(1(1(0(0(z0)))))))))))))))), 1'(0(3(2(0(2(1(2(2(0(3(1(1(0(0(z0))))))))))))))), 0'(3(2(0(2(1(2(2(0(3(1(1(0(0(z0)))))))))))))), 3'(2(0(2(1(2(2(0(3(1(1(0(0(z0))))))))))))), 2'(0(2(1(2(2(0(3(1(1(0(0(z0)))))))))))), 0'(2(1(2(2(0(3(1(1(0(0(z0))))))))))), 2'(1(2(2(0(3(1(1(0(0(z0)))))))))), 1'(2(2(0(3(1(1(0(0(z0))))))))), 2'(2(0(3(1(1(0(0(z0)))))))), 2'(0(3(1(1(0(0(z0))))))), 0'(3(1(1(0(0(z0)))))), 3'(1(1(0(0(z0))))), 1'(1(0(0(z0)))), 1'(0(0(z0))), 0'(0(z0)), 0'(z0))
   0'(c_1(c_0(c_3(c_2(c_2(c_3(c_2(c_0(c_1(c_1(c_1(c_1(c_0(c_1(c_0(c_1(c_1(z0)))))))))))))))))) -> c11(1'(2(3(1(1(0(0(1(1(3(0(0(2(0(2(1(1(1(z0)))))))))))))))))), 2'(3(1(1(0(0(1(1(3(0(0(2(0(2(1(1(1(z0))))))))))))))))), 3'(1(1(0(0(1(1(3(0(0(2(0(2(1(1(1(z0)))))))))))))))), 1'(1(0(0(1(1(3(0(0(2(0(2(1(1(1(z0))))))))))))))), 1'(0(0(1(1(3(0(0(2(0(2(1(1(1(z0)))))))))))))), 0'(0(1(1(3(0(0(2(0(2(1(1(1(z0))))))))))))), 0'(1(1(3(0(0(2(0(2(1(1(1(z0)))))))))))), 1'(1(3(0(0(2(0(2(1(1(1(z0))))))))))), 1'(3(0(0(2(0(2(1(1(1(z0)))))))))), 3'(0(0(2(0(2(1(1(1(z0))))))))), 0'(0(2(0(2(1(1(1(z0)))))))), 0'(2(0(2(1(1(1(z0))))))), 2'(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))
   0'(c_2(c_0(c_2(c_2(c_1(c_1(c_0(c_2(c_0(c_0(c_0(c_1(c_0(c_3(c_0(c_2(c_0(z0)))))))))))))))))) -> c12(0'(2(1(1(1(0(2(0(2(0(0(0(0(3(2(0(2(0(z0)))))))))))))))))), 2'(1(1(1(0(2(0(2(0(0(0(0(3(2(0(2(0(z0))))))))))))))))), 1'(1(1(0(2(0(2(0(0(0(0(3(2(0(2(0(z0)))))))))))))))), 1'(1(0(2(0(2(0(0(0(0(3(2(0(2(0(z0))))))))))))))), 1'(0(2(0(2(0(0(0(0(3(2(0(2(0(z0)))))))))))))), 0'(2(0(2(0(0(0(0(3(2(0(2(0(z0))))))))))))), 2'(0(2(0(0(0(0(3(2(0(2(0(z0)))))))))))), 0'(2(0(0(0(0(3(2(0(2(0(z0))))))))))), 2'(0(0(0(0(3(2(0(2(0(z0)))))))))), 0'(0(0(0(3(2(0(2(0(z0))))))))), 0'(0(0(3(2(0(2(0(z0)))))))), 0'(0(3(2(0(2(0(z0))))))), 0'(3(2(0(2(0(z0)))))), 3'(2(0(2(0(z0))))), 2'(0(2(0(z0)))), 0'(2(0(z0))), 2'(0(z0)), 0'(z0))
   0'(c_0(c_2(c_0(c_0(c_0(c_1(c_1(c_0(c_2(c_2(c_3(c_3(c_0(c_0(c_3(c_0(c_2(z0)))))))))))))))))) -> c13(0'(2(0(0(3(1(1(2(3(0(2(0(0(3(0(0(0(2(z0)))))))))))))))))), 2'(0(0(3(1(1(2(3(0(2(0(0(3(0(0(0(2(z0))))))))))))))))), 0'(0(3(1(1(2(3(0(2(0(0(3(0(0(0(2(z0)))))))))))))))), 0'(3(1(1(2(3(0(2(0(0(3(0(0(0(2(z0))))))))))))))), 3'(1(1(2(3(0(2(0(0(3(0(0(0(2(z0)))))))))))))), 1'(1(2(3(0(2(0(0(3(0(0(0(2(z0))))))))))))), 1'(2(3(0(2(0(0(3(0(0(0(2(z0)))))))))))), 2'(3(0(2(0(0(3(0(0(0(2(z0))))))))))), 3'(0(2(0(0(3(0(0(0(2(z0)))))))))), 0'(2(0(0(3(0(0(0(2(z0))))))))), 2'(0(0(3(0(0(0(2(z0)))))))), 0'(0(3(0(0(0(2(z0))))))), 0'(3(0(0(0(2(z0)))))), 3'(0(0(0(2(z0))))), 0'(0(0(2(z0)))), 0'(0(2(z0))), 0'(2(z0)), 2'(z0))
   0'(c_0(c_3(c_2(c_0(c_0(c_1(c_0(c_1(c_3(c_2(c_3(c_2(c_2(c_2(c_0(c_1(c_1(z0)))))))))))))))))) -> c14(2'(0(0(1(3(1(2(1(2(0(3(2(0(0(3(0(1(2(z0)))))))))))))))))), 0'(0(1(3(1(2(1(2(0(3(2(0(0(3(0(1(2(z0))))))))))))))))), 0'(1(3(1(2(1(2(0(3(2(0(0(3(0(1(2(z0)))))))))))))))), 1'(3(1(2(1(2(0(3(2(0(0(3(0(1(2(z0))))))))))))))), 3'(1(2(1(2(0(3(2(0(0(3(0(1(2(z0)))))))))))))), 1'(2(1(2(0(3(2(0(0(3(0(1(2(z0))))))))))))), 2'(1(2(0(3(2(0(0(3(0(1(2(z0)))))))))))), 1'(2(0(3(2(0(0(3(0(1(2(z0))))))))))), 2'(0(3(2(0(0(3(0(1(2(z0)))))))))), 0'(3(2(0(0(3(0(1(2(z0))))))))), 3'(2(0(0(3(0(1(2(z0)))))))), 2'(0(0(3(0(1(2(z0))))))), 0'(0(3(0(1(2(z0)))))), 0'(3(0(1(2(z0))))), 3'(0(1(2(z0)))), 0'(1(2(z0))), 1'(2(z0)), 2'(z0))
   0'(c_2(c_2(c_2(c_2(c_2(c_1(c_3(c_1(c_0(c_1(c_2(c_3(c_2(c_0(c_1(c_1(c_2(z0)))))))))))))))))) -> c15(2'(1(2(1(2(3(2(1(2(1(2(0(0(2(0(1(3(2(z0)))))))))))))))))), 1'(2(1(2(3(2(1(2(1(2(0(0(2(0(1(3(2(z0))))))))))))))))), 2'(1(2(3(2(1(2(1(2(0(0(2(0(1(3(2(z0)))))))))))))))), 1'(2(3(2(1(2(1(2(0(0(2(0(1(3(2(z0))))))))))))))), 2'(3(2(1(2(1(2(0(0(2(0(1(3(2(z0)))))))))))))), 3'(2(1(2(1(2(0(0(2(0(1(3(2(z0))))))))))))), 2'(1(2(1(2(0(0(2(0(1(3(2(z0)))))))))))), 1'(2(1(2(0(0(2(0(1(3(2(z0))))))))))), 2'(1(2(0(0(2(0(1(3(2(z0)))))))))), 1'(2(0(0(2(0(1(3(2(z0))))))))), 2'(0(0(2(0(1(3(2(z0)))))))), 0'(0(2(0(1(3(2(z0))))))), 0'(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))
   0'(c_0(c_2(c_1(c_0(c_0(c_1(c_0(c_1(c_0(c_3(c_1(c_3(c_3(c_2(c_0(c_1(c_1(z0)))))))))))))))))) -> c16(3'(0(0(2(0(1(1(0(2(0(3(1(0(1(0(3(1(1(z0)))))))))))))))))), 0'(0(2(0(1(1(0(2(0(3(1(0(1(0(3(1(1(z0))))))))))))))))), 0'(2(0(1(1(0(2(0(3(1(0(1(0(3(1(1(z0)))))))))))))))), 2'(0(1(1(0(2(0(3(1(0(1(0(3(1(1(z0))))))))))))))), 0'(1(1(0(2(0(3(1(0(1(0(3(1(1(z0)))))))))))))), 1'(1(0(2(0(3(1(0(1(0(3(1(1(z0))))))))))))), 1'(0(2(0(3(1(0(1(0(3(1(1(z0)))))))))))), 0'(2(0(3(1(0(1(0(3(1(1(z0))))))))))), 2'(0(3(1(0(1(0(3(1(1(z0)))))))))), 0'(3(1(0(1(0(3(1(1(z0))))))))), 3'(1(0(1(0(3(1(1(z0)))))))), 1'(0(1(0(3(1(1(z0))))))), 0'(1(0(3(1(1(z0)))))), 1'(0(3(1(1(z0))))), 0'(3(1(1(z0)))), 3'(1(1(z0))), 1'(1(z0)), 1'(z0))
   0'(c_0(c_0(c_1(c_3(c_2(c_2(c_3(c_0(c_2(c_2(c_0(c_1(c_0(c_0(c_0(c_1(c_2(z0)))))))))))))))))) -> c17(0'(3(0(0(3(0(2(1(2(1(0(0(1(2(0(2(0(2(z0)))))))))))))))))), 3'(0(0(3(0(2(1(2(1(0(0(1(2(0(2(0(2(z0))))))))))))))))), 0'(0(3(0(2(1(2(1(0(0(1(2(0(2(0(2(z0)))))))))))))))), 0'(3(0(2(1(2(1(0(0(1(2(0(2(0(2(z0))))))))))))))), 3'(0(2(1(2(1(0(0(1(2(0(2(0(2(z0)))))))))))))), 0'(2(1(2(1(0(0(1(2(0(2(0(2(z0))))))))))))), 2'(1(2(1(0(0(1(2(0(2(0(2(z0)))))))))))), 1'(2(1(0(0(1(2(0(2(0(2(z0))))))))))), 2'(1(0(0(1(2(0(2(0(2(z0)))))))))), 1'(0(0(1(2(0(2(0(2(z0))))))))), 0'(0(1(2(0(2(0(2(z0)))))))), 0'(1(2(0(2(0(2(z0))))))), 1'(2(0(2(0(2(z0)))))), 2'(0(2(0(2(z0))))), 0'(2(0(2(z0)))), 2'(0(2(z0))), 0'(2(z0)), 2'(z0))
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   3'(c_0(c_1(c_0(c_2(c_1(c_0(c_0(c_0(c_0(c_1(c_1(c_3(c_2(c_2(c_3(c_0(c_1(z0)))))))))))))))))) -> c85(3'(0(0(3(0(3(2(1(1(0(0(0(2(1(1(1(0(2(z0)))))))))))))))))), 0'(0(3(0(3(2(1(1(0(0(0(2(1(1(1(0(2(z0))))))))))))))))), 0'(3(0(3(2(1(1(0(0(0(2(1(1(1(0(2(z0)))))))))))))))), 3'(0(3(2(1(1(0(0(0(2(1(1(1(0(2(z0))))))))))))))), 0'(3(2(1(1(0(0(0(2(1(1(1(0(2(z0)))))))))))))), 3'(2(1(1(0(0(0(2(1(1(1(0(2(z0))))))))))))), 2'(1(1(0(0(0(2(1(1(1(0(2(z0)))))))))))), 1'(1(0(0(0(2(1(1(1(0(2(z0))))))))))), 1'(0(0(0(2(1(1(1(0(2(z0)))))))))), 0'(0(0(2(1(1(1(0(2(z0))))))))), 0'(0(2(1(1(1(0(2(z0)))))))), 0'(2(1(1(1(0(2(z0))))))), 2'(1(1(1(0(2(z0)))))), 1'(1(1(0(2(z0))))), 1'(1(0(2(z0)))), 1'(0(2(z0))), 0'(2(z0)), 2'(z0))
   3'(c_3(c_2(c_2(c_3(c_0(c_1(c_3(c_3(c_3(c_0(c_0(c_0(c_2(c_0(c_2(c_3(c_0(z0)))))))))))))))))) -> c86(3'(3(3(0(3(2(0(2(3(0(2(2(0(1(3(0(3(0(z0)))))))))))))))))), 3'(3(0(3(2(0(2(3(0(2(2(0(1(3(0(3(0(z0))))))))))))))))), 3'(0(3(2(0(2(3(0(2(2(0(1(3(0(3(0(z0)))))))))))))))), 0'(3(2(0(2(3(0(2(2(0(1(3(0(3(0(z0))))))))))))))), 3'(2(0(2(3(0(2(2(0(1(3(0(3(0(z0)))))))))))))), 2'(0(2(3(0(2(2(0(1(3(0(3(0(z0))))))))))))), 0'(2(3(0(2(2(0(1(3(0(3(0(z0)))))))))))), 2'(3(0(2(2(0(1(3(0(3(0(z0))))))))))), 3'(0(2(2(0(1(3(0(3(0(z0)))))))))), 0'(2(2(0(1(3(0(3(0(z0))))))))), 2'(2(0(1(3(0(3(0(z0)))))))), 2'(0(1(3(0(3(0(z0))))))), 0'(1(3(0(3(0(z0)))))), 1'(3(0(3(0(z0))))), 3'(0(3(0(z0)))), 0'(3(0(z0))), 3'(0(z0)), 0'(z0))
   3'(c_2(c_0(c_1(c_2(c_3(c_2(c_2(c_1(c_3(c_0(c_3(c_3(c_1(c_3(c_3(c_2(c_2(z0)))))))))))))))))) -> c87(3'(2(0(1(2(0(1(3(3(2(3(3(3(3(1(2(2(2(z0)))))))))))))))))), 2'(0(1(2(0(1(3(3(2(3(3(3(3(1(2(2(2(z0))))))))))))))))), 0'(1(2(0(1(3(3(2(3(3(3(3(1(2(2(2(z0)))))))))))))))), 1'(2(0(1(3(3(2(3(3(3(3(1(2(2(2(z0))))))))))))))), 2'(0(1(3(3(2(3(3(3(3(1(2(2(2(z0)))))))))))))), 0'(1(3(3(2(3(3(3(3(1(2(2(2(z0))))))))))))), 1'(3(3(2(3(3(3(3(1(2(2(2(z0)))))))))))), 3'(3(2(3(3(3(3(1(2(2(2(z0))))))))))), 3'(2(3(3(3(3(1(2(2(2(z0)))))))))), 2'(3(3(3(3(1(2(2(2(z0))))))))), 3'(3(3(3(1(2(2(2(z0)))))))), 3'(3(3(1(2(2(2(z0))))))), 3'(3(1(2(2(2(z0)))))), 3'(1(2(2(2(z0))))), 1'(2(2(2(z0)))), 2'(2(2(z0))), 2'(2(z0)), 2'(z0))
   3'(c_1(c_0(c_3(c_2(c_1(c_0(c_3(c_0(c_2(c_3(c_2(c_3(c_0(c_1(c_3(c_3(c_2(z0)))))))))))))))))) -> c88(3'(1(0(3(1(3(3(3(0(2(3(0(3(2(2(0(1(2(z0)))))))))))))))))), 1'(0(3(1(3(3(3(0(2(3(0(3(2(2(0(1(2(z0))))))))))))))))), 0'(3(1(3(3(3(0(2(3(0(3(2(2(0(1(2(z0)))))))))))))))), 3'(1(3(3(3(0(2(3(0(3(2(2(0(1(2(z0))))))))))))))), 1'(3(3(3(0(2(3(0(3(2(2(0(1(2(z0)))))))))))))), 3'(3(3(0(2(3(0(3(2(2(0(1(2(z0))))))))))))), 3'(3(0(2(3(0(3(2(2(0(1(2(z0)))))))))))), 3'(0(2(3(0(3(2(2(0(1(2(z0))))))))))), 0'(2(3(0(3(2(2(0(1(2(z0)))))))))), 2'(3(0(3(2(2(0(1(2(z0))))))))), 3'(0(3(2(2(0(1(2(z0)))))))), 0'(3(2(2(0(1(2(z0))))))), 3'(2(2(0(1(2(z0)))))), 2'(2(0(1(2(z0))))), 2'(0(1(2(z0)))), 0'(1(2(z0))), 1'(2(z0)), 2'(z0))
   3'(c_3(c_1(c_3(c_0(c_2(c_3(c_3(c_3(c_1(c_0(c_0(c_2(c_2(c_0(c_2(c_0(c_1(z0)))))))))))))))))) -> c89(3'(0(0(2(0(0(3(0(3(3(2(1(2(1(2(3(3(1(z0)))))))))))))))))), 0'(0(2(0(0(3(0(3(3(2(1(2(1(2(3(3(1(z0))))))))))))))))), 0'(2(0(0(3(0(3(3(2(1(2(1(2(3(3(1(z0)))))))))))))))), 2'(0(0(3(0(3(3(2(1(2(1(2(3(3(1(z0))))))))))))))), 0'(0(3(0(3(3(2(1(2(1(2(3(3(1(z0)))))))))))))), 0'(3(0(3(3(2(1(2(1(2(3(3(1(z0))))))))))))), 3'(0(3(3(2(1(2(1(2(3(3(1(z0)))))))))))), 0'(3(3(2(1(2(1(2(3(3(1(z0))))))))))), 3'(3(2(1(2(1(2(3(3(1(z0)))))))))), 3'(2(1(2(1(2(3(3(1(z0))))))))), 2'(1(2(1(2(3(3(1(z0)))))))), 1'(2(1(2(3(3(1(z0))))))), 2'(1(2(3(3(1(z0)))))), 1'(2(3(3(1(z0))))), 2'(3(3(1(z0)))), 3'(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_2(c_0(c_3(c_2(c_1(c_0(z0)))))))))))))))))) -> c90(3'(3(1(0(0(2(1(1(1(2(3(1(1(2(0(0(3(0(z0)))))))))))))))))), 3'(1(0(0(2(1(1(1(2(3(1(1(2(0(0(3(0(z0))))))))))))))))), 1'(0(0(2(1(1(1(2(3(1(1(2(0(0(3(0(z0)))))))))))))))), 0'(0(2(1(1(1(2(3(1(1(2(0(0(3(0(z0))))))))))))))), 0'(2(1(1(1(2(3(1(1(2(0(0(3(0(z0)))))))))))))), 2'(1(1(1(2(3(1(1(2(0(0(3(0(z0))))))))))))), 1'(1(1(2(3(1(1(2(0(0(3(0(z0)))))))))))), 1'(1(2(3(1(1(2(0(0(3(0(z0))))))))))), 1'(2(3(1(1(2(0(0(3(0(z0)))))))))), 2'(3(1(1(2(0(0(3(0(z0))))))))), 3'(1(1(2(0(0(3(0(z0)))))))), 1'(1(2(0(0(3(0(z0))))))), 1'(2(0(0(3(0(z0)))))), 2'(0(0(3(0(z0))))), 0'(0(3(0(z0)))), 0'(3(0(z0))), 3'(0(z0)), 0'(z0))
   3'(c_2(c_2(c_2(c_2(c_3(c_3(c_1(c_3(c_1(c_1(c_3(c_3(c_1(c_2(c_2(c_3(c_2(z0)))))))))))))))))) -> c91(3'(2(3(2(3(1(2(3(1(2(3(3(2(3(2(1(1(2(z0)))))))))))))))))), 2'(3(2(3(1(2(3(1(2(3(3(2(3(2(1(1(2(z0))))))))))))))))), 3'(2(3(1(2(3(1(2(3(3(2(3(2(1(1(2(z0)))))))))))))))), 2'(3(1(2(3(1(2(3(3(2(3(2(1(1(2(z0))))))))))))))), 3'(1(2(3(1(2(3(3(2(3(2(1(1(2(z0)))))))))))))), 1'(2(3(1(2(3(3(2(3(2(1(1(2(z0))))))))))))), 2'(3(1(2(3(3(2(3(2(1(1(2(z0)))))))))))), 3'(1(2(3(3(2(3(2(1(1(2(z0))))))))))), 1'(2(3(3(2(3(2(1(1(2(z0)))))))))), 2'(3(3(2(3(2(1(1(2(z0))))))))), 3'(3(2(3(2(1(1(2(z0)))))))), 3'(2(3(2(1(1(2(z0))))))), 2'(3(2(1(1(2(z0)))))), 3'(2(1(1(2(z0))))), 2'(1(1(2(z0)))), 1'(1(2(z0))), 1'(2(z0)), 2'(z0))
   ENCODE_0(z0) -> c8(0'(encArg(z0)))
   ENCODE_1(z0) -> c8(1'(encArg(z0)))
   ENCODE_3(z0) -> c8(3'(encArg(z0)))
   ENCODE_2(z0) -> c8(2'(encArg(z0)))
S tuples:
   0'(c_2(c_3(c_3(c_2(c_1(c_3(c_0(c_1(c_3(c_1(c_3(c_3(c_0(c_2(c_1(c_0(c_1(z0)))))))))))))))))) -> c9(0'(2(3(3(0(3(1(0(2(3(1(0(3(3(2(1(1(1(z0)))))))))))))))))), 2'(3(3(0(3(1(0(2(3(1(0(3(3(2(1(1(1(z0))))))))))))))))), 3'(3(0(3(1(0(2(3(1(0(3(3(2(1(1(1(z0)))))))))))))))), 3'(0(3(1(0(2(3(1(0(3(3(2(1(1(1(z0))))))))))))))), 0'(3(1(0(2(3(1(0(3(3(2(1(1(1(z0)))))))))))))), 3'(1(0(2(3(1(0(3(3(2(1(1(1(z0))))))))))))), 1'(0(2(3(1(0(3(3(2(1(1(1(z0)))))))))))), 0'(2(3(1(0(3(3(2(1(1(1(z0))))))))))), 2'(3(1(0(3(3(2(1(1(1(z0)))))))))), 3'(1(0(3(3(2(1(1(1(z0))))))))), 1'(0(3(3(2(1(1(1(z0)))))))), 0'(3(3(2(1(1(1(z0))))))), 3'(3(2(1(1(1(z0)))))), 3'(2(1(1(1(z0))))), 2'(1(1(1(z0)))), 1'(1(1(z0))), 1'(1(z0)), 1'(z0))
   0'(c_3(c_1(c_0(c_2(c_2(c_1(c_0(c_1(c_1(c_0(c_0(c_3(c_1(c_2(c_2(c_3(c_0(z0)))))))))))))))))) -> c10(0'(3(1(1(0(3(2(0(2(1(2(2(0(3(1(1(0(0(z0)))))))))))))))))), 3'(1(1(0(3(2(0(2(1(2(2(0(3(1(1(0(0(z0))))))))))))))))), 1'(1(0(3(2(0(2(1(2(2(0(3(1(1(0(0(z0)))))))))))))))), 1'(0(3(2(0(2(1(2(2(0(3(1(1(0(0(z0))))))))))))))), 0'(3(2(0(2(1(2(2(0(3(1(1(0(0(z0)))))))))))))), 3'(2(0(2(1(2(2(0(3(1(1(0(0(z0))))))))))))), 2'(0(2(1(2(2(0(3(1(1(0(0(z0)))))))))))), 0'(2(1(2(2(0(3(1(1(0(0(z0))))))))))), 2'(1(2(2(0(3(1(1(0(0(z0)))))))))), 1'(2(2(0(3(1(1(0(0(z0))))))))), 2'(2(0(3(1(1(0(0(z0)))))))), 2'(0(3(1(1(0(0(z0))))))), 0'(3(1(1(0(0(z0)))))), 3'(1(1(0(0(z0))))), 1'(1(0(0(z0)))), 1'(0(0(z0))), 0'(0(z0)), 0'(z0))
   0'(c_1(c_0(c_3(c_2(c_2(c_3(c_2(c_0(c_1(c_1(c_1(c_1(c_0(c_1(c_0(c_1(c_1(z0)))))))))))))))))) -> c11(1'(2(3(1(1(0(0(1(1(3(0(0(2(0(2(1(1(1(z0)))))))))))))))))), 2'(3(1(1(0(0(1(1(3(0(0(2(0(2(1(1(1(z0))))))))))))))))), 3'(1(1(0(0(1(1(3(0(0(2(0(2(1(1(1(z0)))))))))))))))), 1'(1(0(0(1(1(3(0(0(2(0(2(1(1(1(z0))))))))))))))), 1'(0(0(1(1(3(0(0(2(0(2(1(1(1(z0)))))))))))))), 0'(0(1(1(3(0(0(2(0(2(1(1(1(z0))))))))))))), 0'(1(1(3(0(0(2(0(2(1(1(1(z0)))))))))))), 1'(1(3(0(0(2(0(2(1(1(1(z0))))))))))), 1'(3(0(0(2(0(2(1(1(1(z0)))))))))), 3'(0(0(2(0(2(1(1(1(z0))))))))), 0'(0(2(0(2(1(1(1(z0)))))))), 0'(2(0(2(1(1(1(z0))))))), 2'(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))
   0'(c_2(c_0(c_2(c_2(c_1(c_1(c_0(c_2(c_0(c_0(c_0(c_1(c_0(c_3(c_0(c_2(c_0(z0)))))))))))))))))) -> c12(0'(2(1(1(1(0(2(0(2(0(0(0(0(3(2(0(2(0(z0)))))))))))))))))), 2'(1(1(1(0(2(0(2(0(0(0(0(3(2(0(2(0(z0))))))))))))))))), 1'(1(1(0(2(0(2(0(0(0(0(3(2(0(2(0(z0)))))))))))))))), 1'(1(0(2(0(2(0(0(0(0(3(2(0(2(0(z0))))))))))))))), 1'(0(2(0(2(0(0(0(0(3(2(0(2(0(z0)))))))))))))), 0'(2(0(2(0(0(0(0(3(2(0(2(0(z0))))))))))))), 2'(0(2(0(0(0(0(3(2(0(2(0(z0)))))))))))), 0'(2(0(0(0(0(3(2(0(2(0(z0))))))))))), 2'(0(0(0(0(3(2(0(2(0(z0)))))))))), 0'(0(0(0(3(2(0(2(0(z0))))))))), 0'(0(0(3(2(0(2(0(z0)))))))), 0'(0(3(2(0(2(0(z0))))))), 0'(3(2(0(2(0(z0)))))), 3'(2(0(2(0(z0))))), 2'(0(2(0(z0)))), 0'(2(0(z0))), 2'(0(z0)), 0'(z0))
   0'(c_0(c_2(c_0(c_0(c_0(c_1(c_1(c_0(c_2(c_2(c_3(c_3(c_0(c_0(c_3(c_0(c_2(z0)))))))))))))))))) -> c13(0'(2(0(0(3(1(1(2(3(0(2(0(0(3(0(0(0(2(z0)))))))))))))))))), 2'(0(0(3(1(1(2(3(0(2(0(0(3(0(0(0(2(z0))))))))))))))))), 0'(0(3(1(1(2(3(0(2(0(0(3(0(0(0(2(z0)))))))))))))))), 0'(3(1(1(2(3(0(2(0(0(3(0(0(0(2(z0))))))))))))))), 3'(1(1(2(3(0(2(0(0(3(0(0(0(2(z0)))))))))))))), 1'(1(2(3(0(2(0(0(3(0(0(0(2(z0))))))))))))), 1'(2(3(0(2(0(0(3(0(0(0(2(z0)))))))))))), 2'(3(0(2(0(0(3(0(0(0(2(z0))))))))))), 3'(0(2(0(0(3(0(0(0(2(z0)))))))))), 0'(2(0(0(3(0(0(0(2(z0))))))))), 2'(0(0(3(0(0(0(2(z0)))))))), 0'(0(3(0(0(0(2(z0))))))), 0'(3(0(0(0(2(z0)))))), 3'(0(0(0(2(z0))))), 0'(0(0(2(z0)))), 0'(0(2(z0))), 0'(2(z0)), 2'(z0))
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   3'(c_3(c_1(c_3(c_3(c_2(c_1(c_3(c_2(c_3(c_3(c_2(c_3(c_1(c_3(c_2(c_3(c_1(z0)))))))))))))))))) -> c82(3'(1(3(1(2(2(3(3(3(3(3(3(3(2(2(1(3(1(z0)))))))))))))))))), 1'(3(1(2(2(3(3(3(3(3(3(3(2(2(1(3(1(z0))))))))))))))))), 3'(1(2(2(3(3(3(3(3(3(3(2(2(1(3(1(z0)))))))))))))))), 1'(2(2(3(3(3(3(3(3(3(2(2(1(3(1(z0))))))))))))))), 2'(2(3(3(3(3(3(3(3(2(2(1(3(1(z0)))))))))))))), 2'(3(3(3(3(3(3(3(2(2(1(3(1(z0))))))))))))), 3'(3(3(3(3(3(3(2(2(1(3(1(z0)))))))))))), 3'(3(3(3(3(3(2(2(1(3(1(z0))))))))))), 3'(3(3(3(3(2(2(1(3(1(z0)))))))))), 3'(3(3(3(2(2(1(3(1(z0))))))))), 3'(3(3(2(2(1(3(1(z0)))))))), 3'(3(2(2(1(3(1(z0))))))), 3'(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))
   3'(c_0(c_0(c_1(c_3(c_2(c_2(c_1(c_3(c_3(c_0(c_1(c_2(c_1(c_0(c_3(c_1(c_2(z0)))))))))))))))))) -> c83(3'(0(1(1(3(3(0(2(3(1(2(1(3(0(2(0(1(2(z0)))))))))))))))))), 0'(1(1(3(3(0(2(3(1(2(1(3(0(2(0(1(2(z0))))))))))))))))), 1'(1(3(3(0(2(3(1(2(1(3(0(2(0(1(2(z0)))))))))))))))), 1'(3(3(0(2(3(1(2(1(3(0(2(0(1(2(z0))))))))))))))), 3'(3(0(2(3(1(2(1(3(0(2(0(1(2(z0)))))))))))))), 3'(0(2(3(1(2(1(3(0(2(0(1(2(z0))))))))))))), 0'(2(3(1(2(1(3(0(2(0(1(2(z0)))))))))))), 2'(3(1(2(1(3(0(2(0(1(2(z0))))))))))), 3'(1(2(1(3(0(2(0(1(2(z0)))))))))), 1'(2(1(3(0(2(0(1(2(z0))))))))), 2'(1(3(0(2(0(1(2(z0)))))))), 1'(3(0(2(0(1(2(z0))))))), 3'(0(2(0(1(2(z0)))))), 0'(2(0(1(2(z0))))), 2'(0(1(2(z0)))), 0'(1(2(z0))), 1'(2(z0)), 2'(z0))
   3'(c_2(c_1(c_0(c_1(c_0(c_1(c_3(c_0(c_1(c_2(c_3(c_0(c_0(c_1(c_3(c_0(c_1(z0)))))))))))))))))) -> c84(3'(0(0(3(0(3(3(0(0(1(1(0(1(2(1(2(1(1(z0)))))))))))))))))), 0'(0(3(0(3(3(0(0(1(1(0(1(2(1(2(1(1(z0))))))))))))))))), 0'(3(0(3(3(0(0(1(1(0(1(2(1(2(1(1(z0)))))))))))))))), 3'(0(3(3(0(0(1(1(0(1(2(1(2(1(1(z0))))))))))))))), 0'(3(3(0(0(1(1(0(1(2(1(2(1(1(z0)))))))))))))), 3'(3(0(0(1(1(0(1(2(1(2(1(1(z0))))))))))))), 3'(0(0(1(1(0(1(2(1(2(1(1(z0)))))))))))), 0'(0(1(1(0(1(2(1(2(1(1(z0))))))))))), 0'(1(1(0(1(2(1(2(1(1(z0)))))))))), 1'(1(0(1(2(1(2(1(1(z0))))))))), 1'(0(1(2(1(2(1(1(z0)))))))), 0'(1(2(1(2(1(1(z0))))))), 1'(2(1(2(1(1(z0)))))), 2'(1(2(1(1(z0))))), 1'(2(1(1(z0)))), 2'(1(1(z0))), 1'(1(z0)), 1'(z0))
   3'(c_0(c_1(c_0(c_2(c_1(c_0(c_0(c_0(c_0(c_1(c_1(c_3(c_2(c_2(c_3(c_0(c_1(z0)))))))))))))))))) -> c85(3'(0(0(3(0(3(2(1(1(0(0(0(2(1(1(1(0(2(z0)))))))))))))))))), 0'(0(3(0(3(2(1(1(0(0(0(2(1(1(1(0(2(z0))))))))))))))))), 0'(3(0(3(2(1(1(0(0(0(2(1(1(1(0(2(z0)))))))))))))))), 3'(0(3(2(1(1(0(0(0(2(1(1(1(0(2(z0))))))))))))))), 0'(3(2(1(1(0(0(0(2(1(1(1(0(2(z0)))))))))))))), 3'(2(1(1(0(0(0(2(1(1(1(0(2(z0))))))))))))), 2'(1(1(0(0(0(2(1(1(1(0(2(z0)))))))))))), 1'(1(0(0(0(2(1(1(1(0(2(z0))))))))))), 1'(0(0(0(2(1(1(1(0(2(z0)))))))))), 0'(0(0(2(1(1(1(0(2(z0))))))))), 0'(0(2(1(1(1(0(2(z0)))))))), 0'(2(1(1(1(0(2(z0))))))), 2'(1(1(1(0(2(z0)))))), 1'(1(1(0(2(z0))))), 1'(1(0(2(z0)))), 1'(0(2(z0))), 0'(2(z0)), 2'(z0))
   3'(c_3(c_2(c_2(c_3(c_0(c_1(c_3(c_3(c_3(c_0(c_0(c_0(c_2(c_0(c_2(c_3(c_0(z0)))))))))))))))))) -> c86(3'(3(3(0(3(2(0(2(3(0(2(2(0(1(3(0(3(0(z0)))))))))))))))))), 3'(3(0(3(2(0(2(3(0(2(2(0(1(3(0(3(0(z0))))))))))))))))), 3'(0(3(2(0(2(3(0(2(2(0(1(3(0(3(0(z0)))))))))))))))), 0'(3(2(0(2(3(0(2(2(0(1(3(0(3(0(z0))))))))))))))), 3'(2(0(2(3(0(2(2(0(1(3(0(3(0(z0)))))))))))))), 2'(0(2(3(0(2(2(0(1(3(0(3(0(z0))))))))))))), 0'(2(3(0(2(2(0(1(3(0(3(0(z0)))))))))))), 2'(3(0(2(2(0(1(3(0(3(0(z0))))))))))), 3'(0(2(2(0(1(3(0(3(0(z0)))))))))), 0'(2(2(0(1(3(0(3(0(z0))))))))), 2'(2(0(1(3(0(3(0(z0)))))))), 2'(0(1(3(0(3(0(z0))))))), 0'(1(3(0(3(0(z0)))))), 1'(3(0(3(0(z0))))), 3'(0(3(0(z0)))), 0'(3(0(z0))), 3'(0(z0)), 0'(z0))
   3'(c_2(c_0(c_1(c_2(c_3(c_2(c_2(c_1(c_3(c_0(c_3(c_3(c_1(c_3(c_3(c_2(c_2(z0)))))))))))))))))) -> c87(3'(2(0(1(2(0(1(3(3(2(3(3(3(3(1(2(2(2(z0)))))))))))))))))), 2'(0(1(2(0(1(3(3(2(3(3(3(3(1(2(2(2(z0))))))))))))))))), 0'(1(2(0(1(3(3(2(3(3(3(3(1(2(2(2(z0)))))))))))))))), 1'(2(0(1(3(3(2(3(3(3(3(1(2(2(2(z0))))))))))))))), 2'(0(1(3(3(2(3(3(3(3(1(2(2(2(z0)))))))))))))), 0'(1(3(3(2(3(3(3(3(1(2(2(2(z0))))))))))))), 1'(3(3(2(3(3(3(3(1(2(2(2(z0)))))))))))), 3'(3(2(3(3(3(3(1(2(2(2(z0))))))))))), 3'(2(3(3(3(3(1(2(2(2(z0)))))))))), 2'(3(3(3(3(1(2(2(2(z0))))))))), 3'(3(3(3(1(2(2(2(z0)))))))), 3'(3(3(1(2(2(2(z0))))))), 3'(3(1(2(2(2(z0)))))), 3'(1(2(2(2(z0))))), 1'(2(2(2(z0)))), 2'(2(2(z0))), 2'(2(z0)), 2'(z0))
   3'(c_1(c_0(c_3(c_2(c_1(c_0(c_3(c_0(c_2(c_3(c_2(c_3(c_0(c_1(c_3(c_3(c_2(z0)))))))))))))))))) -> c88(3'(1(0(3(1(3(3(3(0(2(3(0(3(2(2(0(1(2(z0)))))))))))))))))), 1'(0(3(1(3(3(3(0(2(3(0(3(2(2(0(1(2(z0))))))))))))))))), 0'(3(1(3(3(3(0(2(3(0(3(2(2(0(1(2(z0)))))))))))))))), 3'(1(3(3(3(0(2(3(0(3(2(2(0(1(2(z0))))))))))))))), 1'(3(3(3(0(2(3(0(3(2(2(0(1(2(z0)))))))))))))), 3'(3(3(0(2(3(0(3(2(2(0(1(2(z0))))))))))))), 3'(3(0(2(3(0(3(2(2(0(1(2(z0)))))))))))), 3'(0(2(3(0(3(2(2(0(1(2(z0))))))))))), 0'(2(3(0(3(2(2(0(1(2(z0)))))))))), 2'(3(0(3(2(2(0(1(2(z0))))))))), 3'(0(3(2(2(0(1(2(z0)))))))), 0'(3(2(2(0(1(2(z0))))))), 3'(2(2(0(1(2(z0)))))), 2'(2(0(1(2(z0))))), 2'(0(1(2(z0)))), 0'(1(2(z0))), 1'(2(z0)), 2'(z0))
   3'(c_3(c_1(c_3(c_0(c_2(c_3(c_3(c_3(c_1(c_0(c_0(c_2(c_2(c_0(c_2(c_0(c_1(z0)))))))))))))))))) -> c89(3'(0(0(2(0(0(3(0(3(3(2(1(2(1(2(3(3(1(z0)))))))))))))))))), 0'(0(2(0(0(3(0(3(3(2(1(2(1(2(3(3(1(z0))))))))))))))))), 0'(2(0(0(3(0(3(3(2(1(2(1(2(3(3(1(z0)))))))))))))))), 2'(0(0(3(0(3(3(2(1(2(1(2(3(3(1(z0))))))))))))))), 0'(0(3(0(3(3(2(1(2(1(2(3(3(1(z0)))))))))))))), 0'(3(0(3(3(2(1(2(1(2(3(3(1(z0))))))))))))), 3'(0(3(3(2(1(2(1(2(3(3(1(z0)))))))))))), 0'(3(3(2(1(2(1(2(3(3(1(z0))))))))))), 3'(3(2(1(2(1(2(3(3(1(z0)))))))))), 3'(2(1(2(1(2(3(3(1(z0))))))))), 2'(1(2(1(2(3(3(1(z0)))))))), 1'(2(1(2(3(3(1(z0))))))), 2'(1(2(3(3(1(z0)))))), 1'(2(3(3(1(z0))))), 2'(3(3(1(z0)))), 3'(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_2(c_0(c_3(c_2(c_1(c_0(z0)))))))))))))))))) -> c90(3'(3(1(0(0(2(1(1(1(2(3(1(1(2(0(0(3(0(z0)))))))))))))))))), 3'(1(0(0(2(1(1(1(2(3(1(1(2(0(0(3(0(z0))))))))))))))))), 1'(0(0(2(1(1(1(2(3(1(1(2(0(0(3(0(z0)))))))))))))))), 0'(0(2(1(1(1(2(3(1(1(2(0(0(3(0(z0))))))))))))))), 0'(2(1(1(1(2(3(1(1(2(0(0(3(0(z0)))))))))))))), 2'(1(1(1(2(3(1(1(2(0(0(3(0(z0))))))))))))), 1'(1(1(2(3(1(1(2(0(0(3(0(z0)))))))))))), 1'(1(2(3(1(1(2(0(0(3(0(z0))))))))))), 1'(2(3(1(1(2(0(0(3(0(z0)))))))))), 2'(3(1(1(2(0(0(3(0(z0))))))))), 3'(1(1(2(0(0(3(0(z0)))))))), 1'(1(2(0(0(3(0(z0))))))), 1'(2(0(0(3(0(z0)))))), 2'(0(0(3(0(z0))))), 0'(0(3(0(z0)))), 0'(3(0(z0))), 3'(0(z0)), 0'(z0))
   3'(c_2(c_2(c_2(c_2(c_3(c_3(c_1(c_3(c_1(c_1(c_3(c_3(c_1(c_2(c_2(c_3(c_2(z0)))))))))))))))))) -> c91(3'(2(3(2(3(1(2(3(1(2(3(3(2(3(2(1(1(2(z0)))))))))))))))))), 2'(3(2(3(1(2(3(1(2(3(3(2(3(2(1(1(2(z0))))))))))))))))), 3'(2(3(1(2(3(1(2(3(3(2(3(2(1(1(2(z0)))))))))))))))), 2'(3(1(2(3(1(2(3(3(2(3(2(1(1(2(z0))))))))))))))), 3'(1(2(3(1(2(3(3(2(3(2(1(1(2(z0)))))))))))))), 1'(2(3(1(2(3(3(2(3(2(1(1(2(z0))))))))))))), 2'(3(1(2(3(3(2(3(2(1(1(2(z0)))))))))))), 3'(1(2(3(3(2(3(2(1(1(2(z0))))))))))), 1'(2(3(3(2(3(2(1(1(2(z0)))))))))), 2'(3(3(2(3(2(1(1(2(z0))))))))), 3'(3(2(3(2(1(1(2(z0)))))))), 3'(2(3(2(1(1(2(z0))))))), 2'(3(2(1(1(2(z0)))))), 3'(2(1(1(2(z0))))), 2'(1(1(2(z0)))), 1'(1(2(z0))), 1'(2(z0)), 2'(z0))
K tuples:none
Defined Rule Symbols:   3_1, 0_1, 2_1, 1_1, encArg_1, encode_0_1, encode_1_1, encode_3_1, encode_2_1

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

Compound Symbols:   c_2, c1_2, c2_2, c3_2, c9_18, c10_18, c11_18, c12_18, c13_18, c14_18, c15_18, c16_18, c17_18, c18_18, c19_18, c20_18, c21_18, c22_18, c23_18, c24_18, c25_18, c26_18, c27_18, c28_18, c29_18, c30_18, c31_18, c32_18, c33_18, c35_18, c36_18, c37_18, c38_18, c39_18, c40_18, c41_18, c42_18, c43_18, c44_18, c45_18, c46_18, c47_18, c48_18, c49_18, c50_18, c51_18, c52_18, c53_18, c54_18, c55_18, c57_18, c58_18, c59_18, c60_18, c61_18, c62_18, c63_18, c64_18, c65_18, c67_18, c68_18, c69_18, c70_18, c71_18, c72_18, c73_18, c74_18, c75_18, c76_18, c77_18, c78_18, c79_18, c80_18, c81_18, c82_18, c83_18, c84_18, c85_18, c86_18, c87_18, c88_18, c89_18, c90_18, c91_18, c8_1


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

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

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

(46)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(cons_0(z0)) -> 0(encArg(z0))
   encArg(cons_1(z0)) -> 1(encArg(z0))
   encArg(cons_2(z0)) -> 2(encArg(z0))
   encArg(cons_3(z0)) -> 3(encArg(z0))
   0(z0) -> c_0(z0)
   0(c_2(c_3(c_3(c_2(c_1(c_3(c_0(c_1(c_3(c_1(c_3(c_3(c_0(c_2(c_1(c_0(c_1(z0)))))))))))))))))) -> 0(2(3(3(0(3(1(0(2(3(1(0(3(3(2(1(1(1(z0))))))))))))))))))
   0(c_3(c_1(c_0(c_2(c_2(c_1(c_0(c_1(c_1(c_0(c_0(c_3(c_1(c_2(c_2(c_3(c_0(z0)))))))))))))))))) -> 0(3(1(1(0(3(2(0(2(1(2(2(0(3(1(1(0(0(z0))))))))))))))))))
   0(c_1(c_0(c_3(c_2(c_2(c_3(c_2(c_0(c_1(c_1(c_1(c_1(c_0(c_1(c_0(c_1(c_1(z0)))))))))))))))))) -> 1(2(3(1(1(0(0(1(1(3(0(0(2(0(2(1(1(1(z0))))))))))))))))))
   0(c_2(c_0(c_2(c_2(c_1(c_1(c_0(c_2(c_0(c_0(c_0(c_1(c_0(c_3(c_0(c_2(c_0(z0)))))))))))))))))) -> 0(2(1(1(1(0(2(0(2(0(0(0(0(3(2(0(2(0(z0))))))))))))))))))
   0(c_0(c_2(c_0(c_0(c_0(c_1(c_1(c_0(c_2(c_2(c_3(c_3(c_0(c_0(c_3(c_0(c_2(z0)))))))))))))))))) -> 0(2(0(0(3(1(1(2(3(0(2(0(0(3(0(0(0(2(z0))))))))))))))))))
   0(c_0(c_3(c_2(c_0(c_0(c_1(c_0(c_1(c_3(c_2(c_3(c_2(c_2(c_2(c_0(c_1(c_1(z0)))))))))))))))))) -> 2(0(0(1(3(1(2(1(2(0(3(2(0(0(3(0(1(2(z0))))))))))))))))))
   0(c_2(c_2(c_2(c_2(c_2(c_1(c_3(c_1(c_0(c_1(c_2(c_3(c_2(c_0(c_1(c_1(c_2(z0)))))))))))))))))) -> 2(1(2(1(2(3(2(1(2(1(2(0(0(2(0(1(3(2(z0))))))))))))))))))
   0(c_0(c_2(c_1(c_0(c_0(c_1(c_0(c_1(c_0(c_3(c_1(c_3(c_3(c_2(c_0(c_1(c_1(z0)))))))))))))))))) -> 3(0(0(2(0(1(1(0(2(0(3(1(0(1(0(3(1(1(z0))))))))))))))))))
   0(c_0(c_0(c_1(c_3(c_2(c_2(c_3(c_0(c_2(c_2(c_0(c_1(c_0(c_0(c_0(c_1(c_2(z0)))))))))))))))))) -> 0(3(0(0(3(0(2(1(2(1(0(0(1(2(0(2(0(2(z0))))))))))))))))))
   0(c_2(c_2(c_1(c_3(c_0(c_0(c_1(c_3(c_0(c_1(c_0(c_3(c_3(c_2(c_0(c_1(c_3(z0)))))))))))))))))) -> 3(0(1(3(3(0(0(0(0(2(1(2(0(3(1(2(1(3(z0))))))))))))))))))
   0(c_2(c_3(c_1(c_3(c_3(c_1(c_3(c_2(c_3(c_2(c_2(c_1(c_0(c_1(c_1(c_1(c_1(z0)))))))))))))))))) -> 1(0(3(3(3(3(1(1(2(2(3(1(2(1(2(0(1(1(z0))))))))))))))))))
   0(c_1(c_1(c_0(c_0(c_2(c_2(c_0(c_3(c_2(c_1(c_0(c_3(c_1(c_1(c_0(c_2(c_2(z0)))))))))))))))))) -> 0(0(0(2(1(2(0(1(1(2(1(0(3(3(1(0(2(2(z0))))))))))))))))))
   0(c_1(c_0(c_1(c_0(c_3(c_0(c_1(c_3(c_1(c_3(c_0(c_1(c_0(c_1(c_3(c_2(c_1(z0)))))))))))))))))) -> 0(1(2(0(3(1(0(0(1(1(0(1(3(1(0(3(3(1(z0))))))))))))))))))
   0(c_2(c_2(c_2(c_3(c_3(c_0(c_1(c_3(c_1(c_1(c_1(c_0(c_1(c_3(c_2(c_0(c_2(z0)))))))))))))))))) -> 2(1(1(0(3(3(0(1(3(1(2(3(2(0(1(2(0(2(z0))))))))))))))))))
   0(c_0(c_1(c_3(c_2(c_1(c_0(c_1(c_2(c_2(c_1(c_1(c_1(c_1(c_2(c_3(c_2(c_2(z0)))))))))))))))))) -> 0(1(1(1(2(1(2(1(3(2(3(0(1(2(0(1(2(2(z0))))))))))))))))))
   0(c_2(c_2(c_0(c_3(c_1(c_3(c_1(c_3(c_3(c_1(c_2(c_1(c_0(c_0(c_2(c_0(c_1(z0)))))))))))))))))) -> 0(2(0(1(1(2(3(3(1(1(3(0(2(0(2(0(3(1(z0))))))))))))))))))
   0(c_2(c_3(c_1(c_3(c_2(c_3(c_1(c_1(c_0(c_2(c_3(c_2(c_1(c_0(c_0(c_1(c_2(z0)))))))))))))))))) -> 0(2(3(3(2(3(2(0(1(2(0(1(1(1(0(3(1(2(z0))))))))))))))))))
   0(c_2(c_3(c_2(c_1(c_1(c_3(c_3(c_1(c_3(c_0(c_1(c_0(c_1(c_1(c_3(c_2(c_1(z0)))))))))))))))))) -> 0(2(3(1(2(1(1(1(2(0(3(3(3(3(0(1(1(1(z0))))))))))))))))))
   0(c_0(c_1(c_1(c_3(c_2(c_3(c_2(c_3(c_2(c_0(c_0(c_2(c_3(c_2(c_3(c_1(c_0(z0)))))))))))))))))) -> 2(3(0(2(1(2(3(1(2(3(0(3(3(1(0(2(0(0(z0))))))))))))))))))
   0(c_0(c_2(c_0(c_3(c_2(c_2(c_3(c_3(c_1(c_3(c_2(c_1(c_1(c_3(c_0(c_0(c_1(z0)))))))))))))))))) -> 0(0(3(1(1(0(3(2(2(0(2(3(3(1(2(3(0(1(z0))))))))))))))))))
   0(c_3(c_1(c_0(c_0(c_3(c_0(c_0(c_1(c_0(c_3(c_2(c_1(c_3(c_0(c_0(c_1(c_2(z0)))))))))))))))))) -> 0(0(3(1(1(3(1(0(0(2(1(0(3(0(0(0(3(2(z0))))))))))))))))))
   0(c_3(c_0(c_1(c_3(c_1(c_3(c_2(c_0(c_1(c_0(c_1(c_0(c_0(c_3(c_1(c_1(c_3(z0)))))))))))))))))) -> 0(3(2(0(3(1(3(1(1(0(3(0(0(1(0(1(1(3(z0))))))))))))))))))
   0(c_0(c_3(c_3(c_1(c_3(c_3(c_0(c_1(c_3(c_2(c_3(c_3(c_3(c_0(c_3(c_3(c_3(z0)))))))))))))))))) -> 0(3(0(3(3(1(3(0(3(3(3(1(3(0(3(2(3(3(z0))))))))))))))))))
   0(c_0(c_2(c_0(c_1(c_1(c_2(c_0(c_1(c_0(c_1(c_0(c_1(c_0(c_2(c_3(c_2(c_0(z0)))))))))))))))))) -> 0(0(0(2(2(2(0(3(0(1(1(1(1(1(0(0(2(0(z0))))))))))))))))))
   0(c_0(c_3(c_1(c_0(c_0(c_2(c_2(c_0(c_0(c_0(c_2(c_2(c_3(c_2(c_2(c_2(c_0(z0)))))))))))))))))) -> 0(0(2(0(2(0(0(2(2(0(2(3(1(3(0(2(2(0(z0))))))))))))))))))
   1(z0) -> c_1(z0)
   1(c_0(c_0(c_0(c_3(c_0(c_2(c_3(c_1(c_2(c_3(c_1(c_1(c_2(c_2(c_2(c_2(c_3(z0)))))))))))))))))) -> 1(3(0(2(1(2(0(1(2(0(0(2(2(1(3(3(2(3(z0))))))))))))))))))
   1(c_3(c_1(c_3(c_2(c_2(c_0(c_0(c_0(c_0(c_1(c_3(c_2(c_0(c_1(c_3(c_3(c_0(z0)))))))))))))))))) -> 1(2(0(0(0(0(0(3(1(3(3(3(2(1(2(3(1(0(z0))))))))))))))))))
   1(c_1(c_2(c_0(c_2(c_2(c_1(c_2(c_3(c_2(c_3(c_1(c_0(c_0(c_1(c_3(c_0(c_2(z0)))))))))))))))))) -> 1(2(2(1(1(2(0(3(1(0(3(1(0(2(2(3(0(2(z0))))))))))))))))))
   1(c_0(c_3(c_2(c_3(c_2(c_2(c_0(c_3(c_2(c_2(c_1(c_1(c_0(c_3(c_2(c_3(c_3(z0)))))))))))))))))) -> 1(2(3(0(2(2(3(0(2(3(2(1(3(1(2(0(3(3(z0))))))))))))))))))
   1(c_1(c_0(c_1(c_1(c_3(c_2(c_0(c_2(c_1(c_2(c_2(c_1(c_2(c_3(c_1(c_1(c_1(z0)))))))))))))))))) -> 1(1(0(3(2(3(1(2(1(2(0(2(2(1(1(1(1(1(z0))))))))))))))))))
   1(c_3(c_2(c_3(c_0(c_3(c_3(c_3(c_1(c_3(c_3(c_1(c_3(c_3(c_3(c_2(c_2(c_0(z0)))))))))))))))))) -> 1(3(3(3(1(1(0(2(3(3(3(3(3(2(0(3(2(3(z0))))))))))))))))))
   1(c_3(c_3(c_1(c_1(c_3(c_0(c_2(c_0(c_1(c_3(c_1(c_3(c_0(c_3(c_2(c_2(c_1(z0)))))))))))))))))) -> 1(3(3(3(0(1(1(2(0(3(1(1(2(3(3(0(2(1(z0))))))))))))))))))
   1(c_0(c_0(c_0(c_1(c_3(c_2(c_2(c_2(c_2(c_2(c_3(c_1(c_3(c_1(c_1(c_1(c_1(z0)))))))))))))))))) -> 1(2(1(1(3(2(0(1(0(2(1(0(2(3(1(2(3(1(z0))))))))))))))))))
   1(c_1(c_0(c_0(c_3(c_2(c_2(c_2(c_2(c_0(c_3(c_2(c_2(c_0(c_0(c_1(c_0(c_0(z0)))))))))))))))))) -> 1(3(3(0(0(2(0(1(2(2(2(0(2(1(0(2(0(0(z0))))))))))))))))))
   1(c_0(c_1(c_0(c_1(c_3(c_0(c_2(c_3(c_0(c_1(c_3(c_3(c_2(c_1(c_0(c_1(c_3(z0)))))))))))))))))) -> 1(3(3(2(1(2(0(1(3(1(3(0(0(0(1(0(1(3(z0))))))))))))))))))
   1(c_0(c_1(c_1(c_3(c_2(c_1(c_1(c_0(c_0(c_0(c_1(c_3(c_0(c_0(c_0(c_1(c_0(z0)))))))))))))))))) -> 1(3(1(1(1(0(1(3(0(0(0(0(1(1(0(0(2(0(z0))))))))))))))))))
   1(c_0(c_2(c_3(c_0(c_1(c_0(c_2(c_0(c_1(c_0(c_3(c_1(c_2(c_2(c_2(c_3(c_1(z0)))))))))))))))))) -> 1(0(3(0(0(0(2(2(3(3(1(2(0(1(2(1(2(1(z0))))))))))))))))))
   1(c_2(c_2(c_1(c_2(c_2(c_1(c_0(c_1(c_2(c_1(c_1(c_0(c_2(c_3(c_2(c_2(c_0(z0)))))))))))))))))) -> 1(2(1(2(2(1(2(1(0(1(2(2(0(2(3(1(2(0(z0))))))))))))))))))
   1(c_1(c_1(c_0(c_1(c_1(c_3(c_2(c_3(c_0(c_0(c_3(c_3(c_3(c_2(c_2(c_2(c_1(z0)))))))))))))))))) -> 1(0(3(0(0(3(3(1(2(3(1(2(1(1(2(3(1(2(z0))))))))))))))))))
   1(c_1(c_3(c_3(c_2(c_1(c_1(c_1(c_3(c_3(c_1(c_1(c_0(c_2(c_0(c_2(c_1(c_2(z0)))))))))))))))))) -> 1(1(2(3(1(3(0(1(1(1(2(3(0(2(3(1(1(2(z0))))))))))))))))))
   1(c_0(c_3(c_0(c_2(c_0(c_3(c_0(c_1(c_1(c_2(c_3(c_0(c_1(c_3(c_2(c_0(c_3(z0)))))))))))))))))) -> 1(0(2(1(0(1(0(2(0(3(3(3(1(2(0(0(3(3(z0))))))))))))))))))
   1(c_1(c_1(c_0(c_1(c_1(c_2(c_2(c_2(c_1(c_0(c_1(c_1(c_1(c_3(c_3(c_0(c_3(z0)))))))))))))))))) -> 1(2(0(3(1(1(1(0(1(2(1(2(1(1(1(3(0(3(z0))))))))))))))))))
   1(c_0(c_1(c_3(c_2(c_0(c_2(c_1(c_3(c_3(c_2(c_1(c_3(c_2(c_2(c_0(c_1(c_2(z0)))))))))))))))))) -> 1(3(1(2(1(3(3(1(0(0(0(2(1(3(2(2(2(2(z0))))))))))))))))))
   1(c_1(c_3(c_3(c_1(c_0(c_2(c_3(c_2(c_1(c_3(c_2(c_0(c_1(c_1(c_1(c_1(c_1(z0)))))))))))))))))) -> 1(3(1(1(1(1(1(2(1(1(3(0(3(3(0(2(2(1(z0))))))))))))))))))
   1(c_3(c_0(c_1(c_3(c_2(c_2(c_2(c_2(c_1(c_0(c_0(c_1(c_2(c_2(c_0(c_0(c_1(z0)))))))))))))))))) -> 1(2(2(1(1(2(1(2(0(0(3(1(2(0(0(0(3(2(z0))))))))))))))))))
   1(c_3(c_1(c_2(c_2(c_2(c_1(c_3(c_3(c_0(c_1(c_1(c_0(c_0(c_2(c_2(c_3(c_2(z0)))))))))))))))))) -> 1(2(2(3(0(2(3(0(3(2(3(1(1(0(1(2(1(2(z0))))))))))))))))))
   2(z0) -> c_2(z0)
   2(c_0(c_2(c_2(c_3(c_2(c_0(c_2(c_0(c_1(c_1(c_3(c_1(c_3(c_3(c_3(c_2(c_0(z0)))))))))))))))))) -> 2(3(1(2(1(2(0(2(2(1(0(0(3(3(2(0(3(3(z0))))))))))))))))))
   2(c_1(c_0(c_0(c_2(c_2(c_2(c_0(c_1(c_3(c_1(c_3(c_2(c_3(c_2(c_1(c_1(c_2(z0)))))))))))))))))) -> 2(2(0(0(3(0(2(2(1(2(3(1(2(3(1(1(1(2(z0))))))))))))))))))
   2(c_0(c_2(c_0(c_0(c_1(c_1(c_1(c_3(c_1(c_1(c_3(c_2(c_3(c_1(c_3(c_2(c_3(z0)))))))))))))))))) -> 2(0(1(1(1(0(3(1(2(1(0(1(2(3(3(3(2(3(z0))))))))))))))))))
   2(c_3(c_1(c_0(c_0(c_3(c_1(c_0(c_1(c_3(c_0(c_1(c_2(c_2(c_2(c_2(c_0(c_2(z0)))))))))))))))))) -> 2(0(2(0(0(1(1(2(3(1(1(0(2(3(2(3(0(2(z0))))))))))))))))))
   2(c_1(c_3(c_3(c_2(c_1(c_2(c_3(c_1(c_3(c_3(c_1(c_2(c_1(c_2(c_2(c_0(c_3(z0)))))))))))))))))) -> 2(2(1(1(1(2(2(2(1(2(1(0(3(3(3(3(3(3(z0))))))))))))))))))
   2(c_1(c_0(c_2(c_1(c_0(c_0(c_1(c_1(c_2(c_2(c_2(c_2(c_2(c_2(c_2(c_2(c_1(z0)))))))))))))))))) -> 2(0(0(1(2(2(2(1(2(2(2(0(1(2(1(2(2(1(z0))))))))))))))))))
   2(c_3(c_0(c_1(c_0(c_0(c_3(c_1(c_0(c_3(c_2(c_3(c_2(c_2(c_2(c_3(c_3(c_2(z0)))))))))))))))))) -> 2(3(2(3(0(0(2(2(2(1(1(0(3(2(0(3(3(3(z0))))))))))))))))))
   2(c_2(c_3(c_1(c_0(c_3(c_2(c_2(c_2(c_2(c_3(c_1(c_3(c_3(c_0(c_2(c_3(c_2(z0)))))))))))))))))) -> 2(2(3(0(3(1(2(3(3(3(0(2(1(2(2(3(2(2(z0))))))))))))))))))
   2(c_1(c_1(c_3(c_2(c_0(c_0(c_0(c_2(c_1(c_0(c_2(c_2(c_3(c_2(c_3(c_2(c_0(z0)))))))))))))))))) -> 2(0(0(2(0(2(2(1(2(1(2(3(0(3(2(3(1(0(z0))))))))))))))))))
   3(z0) -> c_3(z0)
   3(c_3(c_1(c_2(c_1(c_3(c_2(c_2(c_1(c_2(c_1(c_2(c_2(c_0(c_3(c_2(c_1(c_0(z0)))))))))))))))))) -> 3(0(2(1(2(1(2(2(3(1(2(0(2(1(1(2(3(3(z0))))))))))))))))))
   3(c_3(c_0(c_2(c_0(c_1(c_3(c_1(c_0(c_2(c_2(c_2(c_2(c_0(c_3(c_3(c_1(c_0(z0)))))))))))))))))) -> 3(3(2(0(3(1(0(2(1(2(3(0(1(0(2(3(2(0(z0))))))))))))))))))
   3(c_1(c_0(c_2(c_1(c_0(c_1(c_0(c_1(c_0(c_2(c_2(c_0(c_2(c_3(c_3(c_2(c_2(z0)))))))))))))))))) -> 0(3(0(0(0(2(3(2(1(3(0(2(2(1(1(1(2(2(z0))))))))))))))))))
   3(c_0(c_1(c_0(c_2(c_3(c_2(c_0(c_1(c_0(c_1(c_2(c_3(c_1(c_2(c_0(c_1(c_2(z0)))))))))))))))))) -> 3(0(1(1(1(1(2(2(3(0(1(2(0(3(0(2(0(2(z0))))))))))))))))))
   3(c_2(c_0(c_3(c_0(c_1(c_1(c_0(c_2(c_3(c_0(c_3(c_0(c_0(c_1(c_0(c_2(c_0(z0)))))))))))))))))) -> 3(2(0(0(1(1(1(0(0(3(3(2(3(0(0(0(2(0(z0))))))))))))))))))
   3(c_2(c_2(c_0(c_2(c_3(c_0(c_1(c_0(c_3(c_1(c_3(c_3(c_1(c_3(c_1(c_2(c_3(z0)))))))))))))))))) -> 3(2(0(3(1(2(0(3(3(1(1(1(0(2(3(2(3(3(z0))))))))))))))))))
   3(c_0(c_3(c_0(c_3(c_2(c_2(c_3(c_2(c_1(c_0(c_2(c_3(c_1(c_2(c_3(c_3(c_0(z0)))))))))))))))))) -> 3(1(2(1(2(3(2(0(2(3(2(0(0(3(3(3(3(0(z0))))))))))))))))))
   3(c_1(c_1(c_0(c_1(c_0(c_3(c_1(c_1(c_2(c_1(c_3(c_0(c_3(c_3(c_1(c_0(c_3(z0)))))))))))))))))) -> 3(1(1(1(3(1(1(1(0(3(0(0(1(2(3(3(0(3(z0))))))))))))))))))
   3(c_0(c_1(c_0(c_0(c_2(c_1(c_0(c_1(c_3(c_2(c_1(c_1(c_3(c_3(c_0(c_1(c_1(z0)))))))))))))))))) -> 3(0(0(2(3(1(1(1(0(1(3(0(1(0(3(2(1(1(z0))))))))))))))))))
   3(c_2(c_3(c_2(c_2(c_2(c_0(c_2(c_3(c_0(c_1(c_2(c_3(c_0(c_1(c_1(c_0(c_2(z0)))))))))))))))))) -> 3(2(2(3(3(0(3(1(2(2(0(1(0(0(2(2(1(2(z0))))))))))))))))))
   3(c_0(c_1(c_0(c_0(c_0(c_0(c_3(c_3(c_2(c_0(c_0(c_1(c_0(c_0(c_2(c_2(c_2(z0)))))))))))))))))) -> 0(2(0(3(0(0(2(0(3(3(0(0(0(2(1(0(1(2(z0))))))))))))))))))
   3(c_0(c_0(c_1(c_3(c_1(c_0(c_2(c_3(c_3(c_1(c_3(c_3(c_3(c_3(c_2(c_1(c_0(z0)))))))))))))))))) -> 3(0(3(1(1(2(2(1(3(0(3(3(0(3(3(3(1(0(z0))))))))))))))))))
   3(c_2(c_2(c_1(c_3(c_1(c_2(c_2(c_3(c_3(c_0(c_2(c_1(c_0(c_1(c_3(c_2(c_1(z0)))))))))))))))))) -> 3(2(3(1(1(2(3(0(2(1(3(1(1(2(3(0(2(2(z0))))))))))))))))))
   3(c_2(c_2(c_2(c_2(c_2(c_1(c_0(c_0(c_1(c_3(c_2(c_3(c_1(c_3(c_3(c_2(c_1(z0)))))))))))))))))) -> 3(2(3(1(0(2(2(2(1(3(3(2(1(0(2(2(3(1(z0))))))))))))))))))
   3(c_1(c_2(c_2(c_3(c_1(c_0(c_1(c_1(c_1(c_1(c_3(c_2(c_1(c_1(c_1(c_3(c_1(z0)))))))))))))))))) -> 3(1(1(2(2(3(1(1(0(1(2(1(1(3(1(1(3(1(z0))))))))))))))))))
   3(c_3(c_1(c_3(c_3(c_2(c_1(c_3(c_2(c_3(c_3(c_2(c_3(c_1(c_3(c_2(c_3(c_1(z0)))))))))))))))))) -> 3(1(3(1(2(2(3(3(3(3(3(3(3(2(2(1(3(1(z0))))))))))))))))))
   3(c_0(c_0(c_1(c_3(c_2(c_2(c_1(c_3(c_3(c_0(c_1(c_2(c_1(c_0(c_3(c_1(c_2(z0)))))))))))))))))) -> 3(0(1(1(3(3(0(2(3(1(2(1(3(0(2(0(1(2(z0))))))))))))))))))
   3(c_2(c_1(c_0(c_1(c_0(c_1(c_3(c_0(c_1(c_2(c_3(c_0(c_0(c_1(c_3(c_0(c_1(z0)))))))))))))))))) -> 3(0(0(3(0(3(3(0(0(1(1(0(1(2(1(2(1(1(z0))))))))))))))))))
   3(c_0(c_1(c_0(c_2(c_1(c_0(c_0(c_0(c_0(c_1(c_1(c_3(c_2(c_2(c_3(c_0(c_1(z0)))))))))))))))))) -> 3(0(0(3(0(3(2(1(1(0(0(0(2(1(1(1(0(2(z0))))))))))))))))))
   3(c_3(c_2(c_2(c_3(c_0(c_1(c_3(c_3(c_3(c_0(c_0(c_0(c_2(c_0(c_2(c_3(c_0(z0)))))))))))))))))) -> 3(3(3(0(3(2(0(2(3(0(2(2(0(1(3(0(3(0(z0))))))))))))))))))
   3(c_2(c_0(c_1(c_2(c_3(c_2(c_2(c_1(c_3(c_0(c_3(c_3(c_1(c_3(c_3(c_2(c_2(z0)))))))))))))))))) -> 3(2(0(1(2(0(1(3(3(2(3(3(3(3(1(2(2(2(z0))))))))))))))))))
   3(c_1(c_0(c_3(c_2(c_1(c_0(c_3(c_0(c_2(c_3(c_2(c_3(c_0(c_1(c_3(c_3(c_2(z0)))))))))))))))))) -> 3(1(0(3(1(3(3(3(0(2(3(0(3(2(2(0(1(2(z0))))))))))))))))))
   3(c_3(c_1(c_3(c_0(c_2(c_3(c_3(c_3(c_1(c_0(c_0(c_2(c_2(c_0(c_2(c_0(c_1(z0)))))))))))))))))) -> 3(0(0(2(0(0(3(0(3(3(2(1(2(1(2(3(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_2(c_0(c_3(c_2(c_1(c_0(z0)))))))))))))))))) -> 3(3(1(0(0(2(1(1(1(2(3(1(1(2(0(0(3(0(z0))))))))))))))))))
   3(c_2(c_2(c_2(c_2(c_3(c_3(c_1(c_3(c_1(c_1(c_3(c_3(c_1(c_2(c_2(c_3(c_2(z0)))))))))))))))))) -> 3(2(3(2(3(1(2(3(1(2(3(3(2(3(2(1(1(2(z0))))))))))))))))))
Tuples:
   ENCARG(cons_0(z0)) -> c(0'(encArg(z0)), ENCARG(z0))
   ENCARG(cons_1(z0)) -> c1(1'(encArg(z0)), ENCARG(z0))
   ENCARG(cons_2(z0)) -> c2(2'(encArg(z0)), ENCARG(z0))
   ENCARG(cons_3(z0)) -> c3(3'(encArg(z0)), ENCARG(z0))
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   0'(c_0(c_2(c_1(c_0(c_0(c_1(c_0(c_1(c_0(c_3(c_1(c_3(c_3(c_2(c_0(c_1(c_1(z0)))))))))))))))))) -> c16(3'(0(0(2(0(1(1(0(2(0(3(1(0(1(0(3(1(1(z0)))))))))))))))))), 0'(0(2(0(1(1(0(2(0(3(1(0(1(0(3(1(1(z0))))))))))))))))), 0'(2(0(1(1(0(2(0(3(1(0(1(0(3(1(1(z0)))))))))))))))), 2'(0(1(1(0(2(0(3(1(0(1(0(3(1(1(z0))))))))))))))), 0'(1(1(0(2(0(3(1(0(1(0(3(1(1(z0)))))))))))))), 1'(1(0(2(0(3(1(0(1(0(3(1(1(z0))))))))))))), 1'(0(2(0(3(1(0(1(0(3(1(1(z0)))))))))))), 0'(2(0(3(1(0(1(0(3(1(1(z0))))))))))), 2'(0(3(1(0(1(0(3(1(1(z0)))))))))), 0'(3(1(0(1(0(3(1(1(z0))))))))), 3'(1(0(1(0(3(1(1(z0)))))))), 1'(0(1(0(3(1(1(z0))))))), 0'(1(0(3(1(1(z0)))))), 1'(0(3(1(1(z0))))), 0'(3(1(1(z0)))), 3'(1(1(z0))), 1'(1(z0)), 1'(z0))
   0'(c_0(c_0(c_1(c_3(c_2(c_2(c_3(c_0(c_2(c_2(c_0(c_1(c_0(c_0(c_0(c_1(c_2(z0)))))))))))))))))) -> c17(0'(3(0(0(3(0(2(1(2(1(0(0(1(2(0(2(0(2(z0)))))))))))))))))), 3'(0(0(3(0(2(1(2(1(0(0(1(2(0(2(0(2(z0))))))))))))))))), 0'(0(3(0(2(1(2(1(0(0(1(2(0(2(0(2(z0)))))))))))))))), 0'(3(0(2(1(2(1(0(0(1(2(0(2(0(2(z0))))))))))))))), 3'(0(2(1(2(1(0(0(1(2(0(2(0(2(z0)))))))))))))), 0'(2(1(2(1(0(0(1(2(0(2(0(2(z0))))))))))))), 2'(1(2(1(0(0(1(2(0(2(0(2(z0)))))))))))), 1'(2(1(0(0(1(2(0(2(0(2(z0))))))))))), 2'(1(0(0(1(2(0(2(0(2(z0)))))))))), 1'(0(0(1(2(0(2(0(2(z0))))))))), 0'(0(1(2(0(2(0(2(z0)))))))), 0'(1(2(0(2(0(2(z0))))))), 1'(2(0(2(0(2(z0)))))), 2'(0(2(0(2(z0))))), 0'(2(0(2(z0)))), 2'(0(2(z0))), 0'(2(z0)), 2'(z0))
   0'(c_2(c_2(c_1(c_3(c_0(c_0(c_1(c_3(c_0(c_1(c_0(c_3(c_3(c_2(c_0(c_1(c_3(z0)))))))))))))))))) -> c18(3'(0(1(3(3(0(0(0(0(2(1(2(0(3(1(2(1(3(z0)))))))))))))))))), 0'(1(3(3(0(0(0(0(2(1(2(0(3(1(2(1(3(z0))))))))))))))))), 1'(3(3(0(0(0(0(2(1(2(0(3(1(2(1(3(z0)))))))))))))))), 3'(3(0(0(0(0(2(1(2(0(3(1(2(1(3(z0))))))))))))))), 3'(0(0(0(0(2(1(2(0(3(1(2(1(3(z0)))))))))))))), 0'(0(0(0(2(1(2(0(3(1(2(1(3(z0))))))))))))), 0'(0(0(2(1(2(0(3(1(2(1(3(z0)))))))))))), 0'(0(2(1(2(0(3(1(2(1(3(z0))))))))))), 0'(2(1(2(0(3(1(2(1(3(z0)))))))))), 2'(1(2(0(3(1(2(1(3(z0))))))))), 1'(2(0(3(1(2(1(3(z0)))))))), 2'(0(3(1(2(1(3(z0))))))), 0'(3(1(2(1(3(z0)))))), 3'(1(2(1(3(z0))))), 1'(2(1(3(z0)))), 2'(1(3(z0))), 1'(3(z0)), 3'(z0))
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   3'(c_2(c_2(c_1(c_3(c_1(c_2(c_2(c_3(c_3(c_0(c_2(c_1(c_0(c_1(c_3(c_2(c_1(z0)))))))))))))))))) -> c79(3'(2(3(1(1(2(3(0(2(1(3(1(1(2(3(0(2(2(z0)))))))))))))))))), 2'(3(1(1(2(3(0(2(1(3(1(1(2(3(0(2(2(z0))))))))))))))))), 3'(1(1(2(3(0(2(1(3(1(1(2(3(0(2(2(z0)))))))))))))))), 1'(1(2(3(0(2(1(3(1(1(2(3(0(2(2(z0))))))))))))))), 1'(2(3(0(2(1(3(1(1(2(3(0(2(2(z0)))))))))))))), 2'(3(0(2(1(3(1(1(2(3(0(2(2(z0))))))))))))), 3'(0(2(1(3(1(1(2(3(0(2(2(z0)))))))))))), 0'(2(1(3(1(1(2(3(0(2(2(z0))))))))))), 2'(1(3(1(1(2(3(0(2(2(z0)))))))))), 1'(3(1(1(2(3(0(2(2(z0))))))))), 3'(1(1(2(3(0(2(2(z0)))))))), 1'(1(2(3(0(2(2(z0))))))), 1'(2(3(0(2(2(z0)))))), 2'(3(0(2(2(z0))))), 3'(0(2(2(z0)))), 0'(2(2(z0))), 2'(2(z0)), 2'(z0))
   3'(c_2(c_2(c_2(c_2(c_2(c_1(c_0(c_0(c_1(c_3(c_2(c_3(c_1(c_3(c_3(c_2(c_1(z0)))))))))))))))))) -> c80(3'(2(3(1(0(2(2(2(1(3(3(2(1(0(2(2(3(1(z0)))))))))))))))))), 2'(3(1(0(2(2(2(1(3(3(2(1(0(2(2(3(1(z0))))))))))))))))), 3'(1(0(2(2(2(1(3(3(2(1(0(2(2(3(1(z0)))))))))))))))), 1'(0(2(2(2(1(3(3(2(1(0(2(2(3(1(z0))))))))))))))), 0'(2(2(2(1(3(3(2(1(0(2(2(3(1(z0)))))))))))))), 2'(2(2(1(3(3(2(1(0(2(2(3(1(z0))))))))))))), 2'(2(1(3(3(2(1(0(2(2(3(1(z0)))))))))))), 2'(1(3(3(2(1(0(2(2(3(1(z0))))))))))), 1'(3(3(2(1(0(2(2(3(1(z0)))))))))), 3'(3(2(1(0(2(2(3(1(z0))))))))), 3'(2(1(0(2(2(3(1(z0)))))))), 2'(1(0(2(2(3(1(z0))))))), 1'(0(2(2(3(1(z0)))))), 0'(2(2(3(1(z0))))), 2'(2(3(1(z0)))), 2'(3(1(z0))), 3'(1(z0)), 1'(z0))
   3'(c_1(c_2(c_2(c_3(c_1(c_0(c_1(c_1(c_1(c_1(c_3(c_2(c_1(c_1(c_1(c_3(c_1(z0)))))))))))))))))) -> c81(3'(1(1(2(2(3(1(1(0(1(2(1(1(3(1(1(3(1(z0)))))))))))))))))), 1'(1(2(2(3(1(1(0(1(2(1(1(3(1(1(3(1(z0))))))))))))))))), 1'(2(2(3(1(1(0(1(2(1(1(3(1(1(3(1(z0)))))))))))))))), 2'(2(3(1(1(0(1(2(1(1(3(1(1(3(1(z0))))))))))))))), 2'(3(1(1(0(1(2(1(1(3(1(1(3(1(z0)))))))))))))), 3'(1(1(0(1(2(1(1(3(1(1(3(1(z0))))))))))))), 1'(1(0(1(2(1(1(3(1(1(3(1(z0)))))))))))), 1'(0(1(2(1(1(3(1(1(3(1(z0))))))))))), 0'(1(2(1(1(3(1(1(3(1(z0)))))))))), 1'(2(1(1(3(1(1(3(1(z0))))))))), 2'(1(1(3(1(1(3(1(z0)))))))), 1'(1(3(1(1(3(1(z0))))))), 1'(3(1(1(3(1(z0)))))), 3'(1(1(3(1(z0))))), 1'(1(3(1(z0)))), 1'(3(1(z0))), 3'(1(z0)), 1'(z0))
   3'(c_3(c_1(c_3(c_3(c_2(c_1(c_3(c_2(c_3(c_3(c_2(c_3(c_1(c_3(c_2(c_3(c_1(z0)))))))))))))))))) -> c82(3'(1(3(1(2(2(3(3(3(3(3(3(3(2(2(1(3(1(z0)))))))))))))))))), 1'(3(1(2(2(3(3(3(3(3(3(3(2(2(1(3(1(z0))))))))))))))))), 3'(1(2(2(3(3(3(3(3(3(3(2(2(1(3(1(z0)))))))))))))))), 1'(2(2(3(3(3(3(3(3(3(2(2(1(3(1(z0))))))))))))))), 2'(2(3(3(3(3(3(3(3(2(2(1(3(1(z0)))))))))))))), 2'(3(3(3(3(3(3(3(2(2(1(3(1(z0))))))))))))), 3'(3(3(3(3(3(3(2(2(1(3(1(z0)))))))))))), 3'(3(3(3(3(3(2(2(1(3(1(z0))))))))))), 3'(3(3(3(3(2(2(1(3(1(z0)))))))))), 3'(3(3(3(2(2(1(3(1(z0))))))))), 3'(3(3(2(2(1(3(1(z0)))))))), 3'(3(2(2(1(3(1(z0))))))), 3'(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))
   3'(c_0(c_0(c_1(c_3(c_2(c_2(c_1(c_3(c_3(c_0(c_1(c_2(c_1(c_0(c_3(c_1(c_2(z0)))))))))))))))))) -> c83(3'(0(1(1(3(3(0(2(3(1(2(1(3(0(2(0(1(2(z0)))))))))))))))))), 0'(1(1(3(3(0(2(3(1(2(1(3(0(2(0(1(2(z0))))))))))))))))), 1'(1(3(3(0(2(3(1(2(1(3(0(2(0(1(2(z0)))))))))))))))), 1'(3(3(0(2(3(1(2(1(3(0(2(0(1(2(z0))))))))))))))), 3'(3(0(2(3(1(2(1(3(0(2(0(1(2(z0)))))))))))))), 3'(0(2(3(1(2(1(3(0(2(0(1(2(z0))))))))))))), 0'(2(3(1(2(1(3(0(2(0(1(2(z0)))))))))))), 2'(3(1(2(1(3(0(2(0(1(2(z0))))))))))), 3'(1(2(1(3(0(2(0(1(2(z0)))))))))), 1'(2(1(3(0(2(0(1(2(z0))))))))), 2'(1(3(0(2(0(1(2(z0)))))))), 1'(3(0(2(0(1(2(z0))))))), 3'(0(2(0(1(2(z0)))))), 0'(2(0(1(2(z0))))), 2'(0(1(2(z0)))), 0'(1(2(z0))), 1'(2(z0)), 2'(z0))
   3'(c_2(c_1(c_0(c_1(c_0(c_1(c_3(c_0(c_1(c_2(c_3(c_0(c_0(c_1(c_3(c_0(c_1(z0)))))))))))))))))) -> c84(3'(0(0(3(0(3(3(0(0(1(1(0(1(2(1(2(1(1(z0)))))))))))))))))), 0'(0(3(0(3(3(0(0(1(1(0(1(2(1(2(1(1(z0))))))))))))))))), 0'(3(0(3(3(0(0(1(1(0(1(2(1(2(1(1(z0)))))))))))))))), 3'(0(3(3(0(0(1(1(0(1(2(1(2(1(1(z0))))))))))))))), 0'(3(3(0(0(1(1(0(1(2(1(2(1(1(z0)))))))))))))), 3'(3(0(0(1(1(0(1(2(1(2(1(1(z0))))))))))))), 3'(0(0(1(1(0(1(2(1(2(1(1(z0)))))))))))), 0'(0(1(1(0(1(2(1(2(1(1(z0))))))))))), 0'(1(1(0(1(2(1(2(1(1(z0)))))))))), 1'(1(0(1(2(1(2(1(1(z0))))))))), 1'(0(1(2(1(2(1(1(z0)))))))), 0'(1(2(1(2(1(1(z0))))))), 1'(2(1(2(1(1(z0)))))), 2'(1(2(1(1(z0))))), 1'(2(1(1(z0)))), 2'(1(1(z0))), 1'(1(z0)), 1'(z0))
   3'(c_0(c_1(c_0(c_2(c_1(c_0(c_0(c_0(c_0(c_1(c_1(c_3(c_2(c_2(c_3(c_0(c_1(z0)))))))))))))))))) -> c85(3'(0(0(3(0(3(2(1(1(0(0(0(2(1(1(1(0(2(z0)))))))))))))))))), 0'(0(3(0(3(2(1(1(0(0(0(2(1(1(1(0(2(z0))))))))))))))))), 0'(3(0(3(2(1(1(0(0(0(2(1(1(1(0(2(z0)))))))))))))))), 3'(0(3(2(1(1(0(0(0(2(1(1(1(0(2(z0))))))))))))))), 0'(3(2(1(1(0(0(0(2(1(1(1(0(2(z0)))))))))))))), 3'(2(1(1(0(0(0(2(1(1(1(0(2(z0))))))))))))), 2'(1(1(0(0(0(2(1(1(1(0(2(z0)))))))))))), 1'(1(0(0(0(2(1(1(1(0(2(z0))))))))))), 1'(0(0(0(2(1(1(1(0(2(z0)))))))))), 0'(0(0(2(1(1(1(0(2(z0))))))))), 0'(0(2(1(1(1(0(2(z0)))))))), 0'(2(1(1(1(0(2(z0))))))), 2'(1(1(1(0(2(z0)))))), 1'(1(1(0(2(z0))))), 1'(1(0(2(z0)))), 1'(0(2(z0))), 0'(2(z0)), 2'(z0))
   3'(c_3(c_2(c_2(c_3(c_0(c_1(c_3(c_3(c_3(c_0(c_0(c_0(c_2(c_0(c_2(c_3(c_0(z0)))))))))))))))))) -> c86(3'(3(3(0(3(2(0(2(3(0(2(2(0(1(3(0(3(0(z0)))))))))))))))))), 3'(3(0(3(2(0(2(3(0(2(2(0(1(3(0(3(0(z0))))))))))))))))), 3'(0(3(2(0(2(3(0(2(2(0(1(3(0(3(0(z0)))))))))))))))), 0'(3(2(0(2(3(0(2(2(0(1(3(0(3(0(z0))))))))))))))), 3'(2(0(2(3(0(2(2(0(1(3(0(3(0(z0)))))))))))))), 2'(0(2(3(0(2(2(0(1(3(0(3(0(z0))))))))))))), 0'(2(3(0(2(2(0(1(3(0(3(0(z0)))))))))))), 2'(3(0(2(2(0(1(3(0(3(0(z0))))))))))), 3'(0(2(2(0(1(3(0(3(0(z0)))))))))), 0'(2(2(0(1(3(0(3(0(z0))))))))), 2'(2(0(1(3(0(3(0(z0)))))))), 2'(0(1(3(0(3(0(z0))))))), 0'(1(3(0(3(0(z0)))))), 1'(3(0(3(0(z0))))), 3'(0(3(0(z0)))), 0'(3(0(z0))), 3'(0(z0)), 0'(z0))
   3'(c_2(c_0(c_1(c_2(c_3(c_2(c_2(c_1(c_3(c_0(c_3(c_3(c_1(c_3(c_3(c_2(c_2(z0)))))))))))))))))) -> c87(3'(2(0(1(2(0(1(3(3(2(3(3(3(3(1(2(2(2(z0)))))))))))))))))), 2'(0(1(2(0(1(3(3(2(3(3(3(3(1(2(2(2(z0))))))))))))))))), 0'(1(2(0(1(3(3(2(3(3(3(3(1(2(2(2(z0)))))))))))))))), 1'(2(0(1(3(3(2(3(3(3(3(1(2(2(2(z0))))))))))))))), 2'(0(1(3(3(2(3(3(3(3(1(2(2(2(z0)))))))))))))), 0'(1(3(3(2(3(3(3(3(1(2(2(2(z0))))))))))))), 1'(3(3(2(3(3(3(3(1(2(2(2(z0)))))))))))), 3'(3(2(3(3(3(3(1(2(2(2(z0))))))))))), 3'(2(3(3(3(3(1(2(2(2(z0)))))))))), 2'(3(3(3(3(1(2(2(2(z0))))))))), 3'(3(3(3(1(2(2(2(z0)))))))), 3'(3(3(1(2(2(2(z0))))))), 3'(3(1(2(2(2(z0)))))), 3'(1(2(2(2(z0))))), 1'(2(2(2(z0)))), 2'(2(2(z0))), 2'(2(z0)), 2'(z0))
   3'(c_1(c_0(c_3(c_2(c_1(c_0(c_3(c_0(c_2(c_3(c_2(c_3(c_0(c_1(c_3(c_3(c_2(z0)))))))))))))))))) -> c88(3'(1(0(3(1(3(3(3(0(2(3(0(3(2(2(0(1(2(z0)))))))))))))))))), 1'(0(3(1(3(3(3(0(2(3(0(3(2(2(0(1(2(z0))))))))))))))))), 0'(3(1(3(3(3(0(2(3(0(3(2(2(0(1(2(z0)))))))))))))))), 3'(1(3(3(3(0(2(3(0(3(2(2(0(1(2(z0))))))))))))))), 1'(3(3(3(0(2(3(0(3(2(2(0(1(2(z0)))))))))))))), 3'(3(3(0(2(3(0(3(2(2(0(1(2(z0))))))))))))), 3'(3(0(2(3(0(3(2(2(0(1(2(z0)))))))))))), 3'(0(2(3(0(3(2(2(0(1(2(z0))))))))))), 0'(2(3(0(3(2(2(0(1(2(z0)))))))))), 2'(3(0(3(2(2(0(1(2(z0))))))))), 3'(0(3(2(2(0(1(2(z0)))))))), 0'(3(2(2(0(1(2(z0))))))), 3'(2(2(0(1(2(z0)))))), 2'(2(0(1(2(z0))))), 2'(0(1(2(z0)))), 0'(1(2(z0))), 1'(2(z0)), 2'(z0))
   3'(c_3(c_1(c_3(c_0(c_2(c_3(c_3(c_3(c_1(c_0(c_0(c_2(c_2(c_0(c_2(c_0(c_1(z0)))))))))))))))))) -> c89(3'(0(0(2(0(0(3(0(3(3(2(1(2(1(2(3(3(1(z0)))))))))))))))))), 0'(0(2(0(0(3(0(3(3(2(1(2(1(2(3(3(1(z0))))))))))))))))), 0'(2(0(0(3(0(3(3(2(1(2(1(2(3(3(1(z0)))))))))))))))), 2'(0(0(3(0(3(3(2(1(2(1(2(3(3(1(z0))))))))))))))), 0'(0(3(0(3(3(2(1(2(1(2(3(3(1(z0)))))))))))))), 0'(3(0(3(3(2(1(2(1(2(3(3(1(z0))))))))))))), 3'(0(3(3(2(1(2(1(2(3(3(1(z0)))))))))))), 0'(3(3(2(1(2(1(2(3(3(1(z0))))))))))), 3'(3(2(1(2(1(2(3(3(1(z0)))))))))), 3'(2(1(2(1(2(3(3(1(z0))))))))), 2'(1(2(1(2(3(3(1(z0)))))))), 1'(2(1(2(3(3(1(z0))))))), 2'(1(2(3(3(1(z0)))))), 1'(2(3(3(1(z0))))), 2'(3(3(1(z0)))), 3'(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_2(c_0(c_3(c_2(c_1(c_0(z0)))))))))))))))))) -> c90(3'(3(1(0(0(2(1(1(1(2(3(1(1(2(0(0(3(0(z0)))))))))))))))))), 3'(1(0(0(2(1(1(1(2(3(1(1(2(0(0(3(0(z0))))))))))))))))), 1'(0(0(2(1(1(1(2(3(1(1(2(0(0(3(0(z0)))))))))))))))), 0'(0(2(1(1(1(2(3(1(1(2(0(0(3(0(z0))))))))))))))), 0'(2(1(1(1(2(3(1(1(2(0(0(3(0(z0)))))))))))))), 2'(1(1(1(2(3(1(1(2(0(0(3(0(z0))))))))))))), 1'(1(1(2(3(1(1(2(0(0(3(0(z0)))))))))))), 1'(1(2(3(1(1(2(0(0(3(0(z0))))))))))), 1'(2(3(1(1(2(0(0(3(0(z0)))))))))), 2'(3(1(1(2(0(0(3(0(z0))))))))), 3'(1(1(2(0(0(3(0(z0)))))))), 1'(1(2(0(0(3(0(z0))))))), 1'(2(0(0(3(0(z0)))))), 2'(0(0(3(0(z0))))), 0'(0(3(0(z0)))), 0'(3(0(z0))), 3'(0(z0)), 0'(z0))
   3'(c_2(c_2(c_2(c_2(c_3(c_3(c_1(c_3(c_1(c_1(c_3(c_3(c_1(c_2(c_2(c_3(c_2(z0)))))))))))))))))) -> c91(3'(2(3(2(3(1(2(3(1(2(3(3(2(3(2(1(1(2(z0)))))))))))))))))), 2'(3(2(3(1(2(3(1(2(3(3(2(3(2(1(1(2(z0))))))))))))))))), 3'(2(3(1(2(3(1(2(3(3(2(3(2(1(1(2(z0)))))))))))))))), 2'(3(1(2(3(1(2(3(3(2(3(2(1(1(2(z0))))))))))))))), 3'(1(2(3(1(2(3(3(2(3(2(1(1(2(z0)))))))))))))), 1'(2(3(1(2(3(3(2(3(2(1(1(2(z0))))))))))))), 2'(3(1(2(3(3(2(3(2(1(1(2(z0)))))))))))), 3'(1(2(3(3(2(3(2(1(1(2(z0))))))))))), 1'(2(3(3(2(3(2(1(1(2(z0)))))))))), 2'(3(3(2(3(2(1(1(2(z0))))))))), 3'(3(2(3(2(1(1(2(z0)))))))), 3'(2(3(2(1(1(2(z0))))))), 2'(3(2(1(1(2(z0)))))), 3'(2(1(1(2(z0))))), 2'(1(1(2(z0)))), 1'(1(2(z0))), 1'(2(z0)), 2'(z0))
   ENCODE_0(z0) -> c8(0'(encArg(z0)))
   ENCODE_1(z0) -> c8(1'(encArg(z0)))
   ENCODE_3(z0) -> c8(3'(encArg(z0)))
   ENCODE_2(z0) -> c8(2'(encArg(z0)))
S tuples:
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   3'(c_1(c_2(c_2(c_3(c_1(c_0(c_1(c_1(c_1(c_1(c_3(c_2(c_1(c_1(c_1(c_3(c_1(z0)))))))))))))))))) -> c81(3'(1(1(2(2(3(1(1(0(1(2(1(1(3(1(1(3(1(z0)))))))))))))))))), 1'(1(2(2(3(1(1(0(1(2(1(1(3(1(1(3(1(z0))))))))))))))))), 1'(2(2(3(1(1(0(1(2(1(1(3(1(1(3(1(z0)))))))))))))))), 2'(2(3(1(1(0(1(2(1(1(3(1(1(3(1(z0))))))))))))))), 2'(3(1(1(0(1(2(1(1(3(1(1(3(1(z0)))))))))))))), 3'(1(1(0(1(2(1(1(3(1(1(3(1(z0))))))))))))), 1'(1(0(1(2(1(1(3(1(1(3(1(z0)))))))))))), 1'(0(1(2(1(1(3(1(1(3(1(z0))))))))))), 0'(1(2(1(1(3(1(1(3(1(z0)))))))))), 1'(2(1(1(3(1(1(3(1(z0))))))))), 2'(1(1(3(1(1(3(1(z0)))))))), 1'(1(3(1(1(3(1(z0))))))), 1'(3(1(1(3(1(z0)))))), 3'(1(1(3(1(z0))))), 1'(1(3(1(z0)))), 1'(3(1(z0))), 3'(1(z0)), 1'(z0))
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K tuples:none
Defined Rule Symbols:   encArg_1, 0_1, 1_1, 2_1, 3_1

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

Compound Symbols:   c_2, c1_2, c2_2, c3_2, c9_18, c10_18, c11_18, c12_18, c13_18, c14_18, c15_18, c16_18, c17_18, c18_18, c19_18, c20_18, c21_18, c22_18, c23_18, c24_18, c25_18, c26_18, c27_18, c28_18, c29_18, c30_18, c31_18, c32_18, c33_18, c35_18, c36_18, c37_18, c38_18, c39_18, c40_18, c41_18, c42_18, c43_18, c44_18, c45_18, c46_18, c47_18, c48_18, c49_18, c50_18, c51_18, c52_18, c53_18, c54_18, c55_18, c57_18, c58_18, c59_18, c60_18, c61_18, c62_18, c63_18, c64_18, c65_18, c67_18, c68_18, c69_18, c70_18, c71_18, c72_18, c73_18, c74_18, c75_18, c76_18, c77_18, c78_18, c79_18, c80_18, c81_18, c82_18, c83_18, c84_18, c85_18, c86_18, c87_18, c88_18, c89_18, c90_18, c91_18, c8_1


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

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

(48)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(cons_0(z0)) -> 0(encArg(z0))
   encArg(cons_1(z0)) -> 1(encArg(z0))
   encArg(cons_2(z0)) -> 2(encArg(z0))
   encArg(cons_3(z0)) -> 3(encArg(z0))
   0(z0) -> c_0(z0)
   0(c_2(c_3(c_3(c_2(c_1(c_3(c_0(c_1(c_3(c_1(c_3(c_3(c_0(c_2(c_1(c_0(c_1(z0)))))))))))))))))) -> 0(2(3(3(0(3(1(0(2(3(1(0(3(3(2(1(1(1(z0))))))))))))))))))
   0(c_3(c_1(c_0(c_2(c_2(c_1(c_0(c_1(c_1(c_0(c_0(c_3(c_1(c_2(c_2(c_3(c_0(z0)))))))))))))))))) -> 0(3(1(1(0(3(2(0(2(1(2(2(0(3(1(1(0(0(z0))))))))))))))))))
   0(c_1(c_0(c_3(c_2(c_2(c_3(c_2(c_0(c_1(c_1(c_1(c_1(c_0(c_1(c_0(c_1(c_1(z0)))))))))))))))))) -> 1(2(3(1(1(0(0(1(1(3(0(0(2(0(2(1(1(1(z0))))))))))))))))))
   0(c_2(c_0(c_2(c_2(c_1(c_1(c_0(c_2(c_0(c_0(c_0(c_1(c_0(c_3(c_0(c_2(c_0(z0)))))))))))))))))) -> 0(2(1(1(1(0(2(0(2(0(0(0(0(3(2(0(2(0(z0))))))))))))))))))
   0(c_0(c_2(c_0(c_0(c_0(c_1(c_1(c_0(c_2(c_2(c_3(c_3(c_0(c_0(c_3(c_0(c_2(z0)))))))))))))))))) -> 0(2(0(0(3(1(1(2(3(0(2(0(0(3(0(0(0(2(z0))))))))))))))))))
   0(c_0(c_3(c_2(c_0(c_0(c_1(c_0(c_1(c_3(c_2(c_3(c_2(c_2(c_2(c_0(c_1(c_1(z0)))))))))))))))))) -> 2(0(0(1(3(1(2(1(2(0(3(2(0(0(3(0(1(2(z0))))))))))))))))))
   0(c_2(c_2(c_2(c_2(c_2(c_1(c_3(c_1(c_0(c_1(c_2(c_3(c_2(c_0(c_1(c_1(c_2(z0)))))))))))))))))) -> 2(1(2(1(2(3(2(1(2(1(2(0(0(2(0(1(3(2(z0))))))))))))))))))
   0(c_0(c_2(c_1(c_0(c_0(c_1(c_0(c_1(c_0(c_3(c_1(c_3(c_3(c_2(c_0(c_1(c_1(z0)))))))))))))))))) -> 3(0(0(2(0(1(1(0(2(0(3(1(0(1(0(3(1(1(z0))))))))))))))))))
   0(c_0(c_0(c_1(c_3(c_2(c_2(c_3(c_0(c_2(c_2(c_0(c_1(c_0(c_0(c_0(c_1(c_2(z0)))))))))))))))))) -> 0(3(0(0(3(0(2(1(2(1(0(0(1(2(0(2(0(2(z0))))))))))))))))))
   0(c_2(c_2(c_1(c_3(c_0(c_0(c_1(c_3(c_0(c_1(c_0(c_3(c_3(c_2(c_0(c_1(c_3(z0)))))))))))))))))) -> 3(0(1(3(3(0(0(0(0(2(1(2(0(3(1(2(1(3(z0))))))))))))))))))
   0(c_2(c_3(c_1(c_3(c_3(c_1(c_3(c_2(c_3(c_2(c_2(c_1(c_0(c_1(c_1(c_1(c_1(z0)))))))))))))))))) -> 1(0(3(3(3(3(1(1(2(2(3(1(2(1(2(0(1(1(z0))))))))))))))))))
   0(c_1(c_1(c_0(c_0(c_2(c_2(c_0(c_3(c_2(c_1(c_0(c_3(c_1(c_1(c_0(c_2(c_2(z0)))))))))))))))))) -> 0(0(0(2(1(2(0(1(1(2(1(0(3(3(1(0(2(2(z0))))))))))))))))))
   0(c_1(c_0(c_1(c_0(c_3(c_0(c_1(c_3(c_1(c_3(c_0(c_1(c_0(c_1(c_3(c_2(c_1(z0)))))))))))))))))) -> 0(1(2(0(3(1(0(0(1(1(0(1(3(1(0(3(3(1(z0))))))))))))))))))
   0(c_2(c_2(c_2(c_3(c_3(c_0(c_1(c_3(c_1(c_1(c_1(c_0(c_1(c_3(c_2(c_0(c_2(z0)))))))))))))))))) -> 2(1(1(0(3(3(0(1(3(1(2(3(2(0(1(2(0(2(z0))))))))))))))))))
   0(c_0(c_1(c_3(c_2(c_1(c_0(c_1(c_2(c_2(c_1(c_1(c_1(c_1(c_2(c_3(c_2(c_2(z0)))))))))))))))))) -> 0(1(1(1(2(1(2(1(3(2(3(0(1(2(0(1(2(2(z0))))))))))))))))))
   0(c_2(c_2(c_0(c_3(c_1(c_3(c_1(c_3(c_3(c_1(c_2(c_1(c_0(c_0(c_2(c_0(c_1(z0)))))))))))))))))) -> 0(2(0(1(1(2(3(3(1(1(3(0(2(0(2(0(3(1(z0))))))))))))))))))
   0(c_2(c_3(c_1(c_3(c_2(c_3(c_1(c_1(c_0(c_2(c_3(c_2(c_1(c_0(c_0(c_1(c_2(z0)))))))))))))))))) -> 0(2(3(3(2(3(2(0(1(2(0(1(1(1(0(3(1(2(z0))))))))))))))))))
   0(c_2(c_3(c_2(c_1(c_1(c_3(c_3(c_1(c_3(c_0(c_1(c_0(c_1(c_1(c_3(c_2(c_1(z0)))))))))))))))))) -> 0(2(3(1(2(1(1(1(2(0(3(3(3(3(0(1(1(1(z0))))))))))))))))))
   0(c_0(c_1(c_1(c_3(c_2(c_3(c_2(c_3(c_2(c_0(c_0(c_2(c_3(c_2(c_3(c_1(c_0(z0)))))))))))))))))) -> 2(3(0(2(1(2(3(1(2(3(0(3(3(1(0(2(0(0(z0))))))))))))))))))
   0(c_0(c_2(c_0(c_3(c_2(c_2(c_3(c_3(c_1(c_3(c_2(c_1(c_1(c_3(c_0(c_0(c_1(z0)))))))))))))))))) -> 0(0(3(1(1(0(3(2(2(0(2(3(3(1(2(3(0(1(z0))))))))))))))))))
   0(c_3(c_1(c_0(c_0(c_3(c_0(c_0(c_1(c_0(c_3(c_2(c_1(c_3(c_0(c_0(c_1(c_2(z0)))))))))))))))))) -> 0(0(3(1(1(3(1(0(0(2(1(0(3(0(0(0(3(2(z0))))))))))))))))))
   0(c_3(c_0(c_1(c_3(c_1(c_3(c_2(c_0(c_1(c_0(c_1(c_0(c_0(c_3(c_1(c_1(c_3(z0)))))))))))))))))) -> 0(3(2(0(3(1(3(1(1(0(3(0(0(1(0(1(1(3(z0))))))))))))))))))
   0(c_0(c_3(c_3(c_1(c_3(c_3(c_0(c_1(c_3(c_2(c_3(c_3(c_3(c_0(c_3(c_3(c_3(z0)))))))))))))))))) -> 0(3(0(3(3(1(3(0(3(3(3(1(3(0(3(2(3(3(z0))))))))))))))))))
   0(c_0(c_2(c_0(c_1(c_1(c_2(c_0(c_1(c_0(c_1(c_0(c_1(c_0(c_2(c_3(c_2(c_0(z0)))))))))))))))))) -> 0(0(0(2(2(2(0(3(0(1(1(1(1(1(0(0(2(0(z0))))))))))))))))))
   0(c_0(c_3(c_1(c_0(c_0(c_2(c_2(c_0(c_0(c_0(c_2(c_2(c_3(c_2(c_2(c_2(c_0(z0)))))))))))))))))) -> 0(0(2(0(2(0(0(2(2(0(2(3(1(3(0(2(2(0(z0))))))))))))))))))
   1(z0) -> c_1(z0)
   1(c_0(c_0(c_0(c_3(c_0(c_2(c_3(c_1(c_2(c_3(c_1(c_1(c_2(c_2(c_2(c_2(c_3(z0)))))))))))))))))) -> 1(3(0(2(1(2(0(1(2(0(0(2(2(1(3(3(2(3(z0))))))))))))))))))
   1(c_3(c_1(c_3(c_2(c_2(c_0(c_0(c_0(c_0(c_1(c_3(c_2(c_0(c_1(c_3(c_3(c_0(z0)))))))))))))))))) -> 1(2(0(0(0(0(0(3(1(3(3(3(2(1(2(3(1(0(z0))))))))))))))))))
   1(c_1(c_2(c_0(c_2(c_2(c_1(c_2(c_3(c_2(c_3(c_1(c_0(c_0(c_1(c_3(c_0(c_2(z0)))))))))))))))))) -> 1(2(2(1(1(2(0(3(1(0(3(1(0(2(2(3(0(2(z0))))))))))))))))))
   1(c_0(c_3(c_2(c_3(c_2(c_2(c_0(c_3(c_2(c_2(c_1(c_1(c_0(c_3(c_2(c_3(c_3(z0)))))))))))))))))) -> 1(2(3(0(2(2(3(0(2(3(2(1(3(1(2(0(3(3(z0))))))))))))))))))
   1(c_1(c_0(c_1(c_1(c_3(c_2(c_0(c_2(c_1(c_2(c_2(c_1(c_2(c_3(c_1(c_1(c_1(z0)))))))))))))))))) -> 1(1(0(3(2(3(1(2(1(2(0(2(2(1(1(1(1(1(z0))))))))))))))))))
   1(c_3(c_2(c_3(c_0(c_3(c_3(c_3(c_1(c_3(c_3(c_1(c_3(c_3(c_3(c_2(c_2(c_0(z0)))))))))))))))))) -> 1(3(3(3(1(1(0(2(3(3(3(3(3(2(0(3(2(3(z0))))))))))))))))))
   1(c_3(c_3(c_1(c_1(c_3(c_0(c_2(c_0(c_1(c_3(c_1(c_3(c_0(c_3(c_2(c_2(c_1(z0)))))))))))))))))) -> 1(3(3(3(0(1(1(2(0(3(1(1(2(3(3(0(2(1(z0))))))))))))))))))
   1(c_0(c_0(c_0(c_1(c_3(c_2(c_2(c_2(c_2(c_2(c_3(c_1(c_3(c_1(c_1(c_1(c_1(z0)))))))))))))))))) -> 1(2(1(1(3(2(0(1(0(2(1(0(2(3(1(2(3(1(z0))))))))))))))))))
   1(c_1(c_0(c_0(c_3(c_2(c_2(c_2(c_2(c_0(c_3(c_2(c_2(c_0(c_0(c_1(c_0(c_0(z0)))))))))))))))))) -> 1(3(3(0(0(2(0(1(2(2(2(0(2(1(0(2(0(0(z0))))))))))))))))))
   1(c_0(c_1(c_0(c_1(c_3(c_0(c_2(c_3(c_0(c_1(c_3(c_3(c_2(c_1(c_0(c_1(c_3(z0)))))))))))))))))) -> 1(3(3(2(1(2(0(1(3(1(3(0(0(0(1(0(1(3(z0))))))))))))))))))
   1(c_0(c_1(c_1(c_3(c_2(c_1(c_1(c_0(c_0(c_0(c_1(c_3(c_0(c_0(c_0(c_1(c_0(z0)))))))))))))))))) -> 1(3(1(1(1(0(1(3(0(0(0(0(1(1(0(0(2(0(z0))))))))))))))))))
   1(c_0(c_2(c_3(c_0(c_1(c_0(c_2(c_0(c_1(c_0(c_3(c_1(c_2(c_2(c_2(c_3(c_1(z0)))))))))))))))))) -> 1(0(3(0(0(0(2(2(3(3(1(2(0(1(2(1(2(1(z0))))))))))))))))))
   1(c_2(c_2(c_1(c_2(c_2(c_1(c_0(c_1(c_2(c_1(c_1(c_0(c_2(c_3(c_2(c_2(c_0(z0)))))))))))))))))) -> 1(2(1(2(2(1(2(1(0(1(2(2(0(2(3(1(2(0(z0))))))))))))))))))
   1(c_1(c_1(c_0(c_1(c_1(c_3(c_2(c_3(c_0(c_0(c_3(c_3(c_3(c_2(c_2(c_2(c_1(z0)))))))))))))))))) -> 1(0(3(0(0(3(3(1(2(3(1(2(1(1(2(3(1(2(z0))))))))))))))))))
   1(c_1(c_3(c_3(c_2(c_1(c_1(c_1(c_3(c_3(c_1(c_1(c_0(c_2(c_0(c_2(c_1(c_2(z0)))))))))))))))))) -> 1(1(2(3(1(3(0(1(1(1(2(3(0(2(3(1(1(2(z0))))))))))))))))))
   1(c_0(c_3(c_0(c_2(c_0(c_3(c_0(c_1(c_1(c_2(c_3(c_0(c_1(c_3(c_2(c_0(c_3(z0)))))))))))))))))) -> 1(0(2(1(0(1(0(2(0(3(3(3(1(2(0(0(3(3(z0))))))))))))))))))
   1(c_1(c_1(c_0(c_1(c_1(c_2(c_2(c_2(c_1(c_0(c_1(c_1(c_1(c_3(c_3(c_0(c_3(z0)))))))))))))))))) -> 1(2(0(3(1(1(1(0(1(2(1(2(1(1(1(3(0(3(z0))))))))))))))))))
   1(c_0(c_1(c_3(c_2(c_0(c_2(c_1(c_3(c_3(c_2(c_1(c_3(c_2(c_2(c_0(c_1(c_2(z0)))))))))))))))))) -> 1(3(1(2(1(3(3(1(0(0(0(2(1(3(2(2(2(2(z0))))))))))))))))))
   1(c_1(c_3(c_3(c_1(c_0(c_2(c_3(c_2(c_1(c_3(c_2(c_0(c_1(c_1(c_1(c_1(c_1(z0)))))))))))))))))) -> 1(3(1(1(1(1(1(2(1(1(3(0(3(3(0(2(2(1(z0))))))))))))))))))
   1(c_3(c_0(c_1(c_3(c_2(c_2(c_2(c_2(c_1(c_0(c_0(c_1(c_2(c_2(c_0(c_0(c_1(z0)))))))))))))))))) -> 1(2(2(1(1(2(1(2(0(0(3(1(2(0(0(0(3(2(z0))))))))))))))))))
   1(c_3(c_1(c_2(c_2(c_2(c_1(c_3(c_3(c_0(c_1(c_1(c_0(c_0(c_2(c_2(c_3(c_2(z0)))))))))))))))))) -> 1(2(2(3(0(2(3(0(3(2(3(1(1(0(1(2(1(2(z0))))))))))))))))))
   2(z0) -> c_2(z0)
   2(c_0(c_2(c_2(c_3(c_2(c_0(c_2(c_0(c_1(c_1(c_3(c_1(c_3(c_3(c_3(c_2(c_0(z0)))))))))))))))))) -> 2(3(1(2(1(2(0(2(2(1(0(0(3(3(2(0(3(3(z0))))))))))))))))))
   2(c_1(c_0(c_0(c_2(c_2(c_2(c_0(c_1(c_3(c_1(c_3(c_2(c_3(c_2(c_1(c_1(c_2(z0)))))))))))))))))) -> 2(2(0(0(3(0(2(2(1(2(3(1(2(3(1(1(1(2(z0))))))))))))))))))
   2(c_0(c_2(c_0(c_0(c_1(c_1(c_1(c_3(c_1(c_1(c_3(c_2(c_3(c_1(c_3(c_2(c_3(z0)))))))))))))))))) -> 2(0(1(1(1(0(3(1(2(1(0(1(2(3(3(3(2(3(z0))))))))))))))))))
   2(c_3(c_1(c_0(c_0(c_3(c_1(c_0(c_1(c_3(c_0(c_1(c_2(c_2(c_2(c_2(c_0(c_2(z0)))))))))))))))))) -> 2(0(2(0(0(1(1(2(3(1(1(0(2(3(2(3(0(2(z0))))))))))))))))))
   2(c_1(c_3(c_3(c_2(c_1(c_2(c_3(c_1(c_3(c_3(c_1(c_2(c_1(c_2(c_2(c_0(c_3(z0)))))))))))))))))) -> 2(2(1(1(1(2(2(2(1(2(1(0(3(3(3(3(3(3(z0))))))))))))))))))
   2(c_1(c_0(c_2(c_1(c_0(c_0(c_1(c_1(c_2(c_2(c_2(c_2(c_2(c_2(c_2(c_2(c_1(z0)))))))))))))))))) -> 2(0(0(1(2(2(2(1(2(2(2(0(1(2(1(2(2(1(z0))))))))))))))))))
   2(c_3(c_0(c_1(c_0(c_0(c_3(c_1(c_0(c_3(c_2(c_3(c_2(c_2(c_2(c_3(c_3(c_2(z0)))))))))))))))))) -> 2(3(2(3(0(0(2(2(2(1(1(0(3(2(0(3(3(3(z0))))))))))))))))))
   2(c_2(c_3(c_1(c_0(c_3(c_2(c_2(c_2(c_2(c_3(c_1(c_3(c_3(c_0(c_2(c_3(c_2(z0)))))))))))))))))) -> 2(2(3(0(3(1(2(3(3(3(0(2(1(2(2(3(2(2(z0))))))))))))))))))
   2(c_1(c_1(c_3(c_2(c_0(c_0(c_0(c_2(c_1(c_0(c_2(c_2(c_3(c_2(c_3(c_2(c_0(z0)))))))))))))))))) -> 2(0(0(2(0(2(2(1(2(1(2(3(0(3(2(3(1(0(z0))))))))))))))))))
   3(z0) -> c_3(z0)
   3(c_3(c_1(c_2(c_1(c_3(c_2(c_2(c_1(c_2(c_1(c_2(c_2(c_0(c_3(c_2(c_1(c_0(z0)))))))))))))))))) -> 3(0(2(1(2(1(2(2(3(1(2(0(2(1(1(2(3(3(z0))))))))))))))))))
   3(c_3(c_0(c_2(c_0(c_1(c_3(c_1(c_0(c_2(c_2(c_2(c_2(c_0(c_3(c_3(c_1(c_0(z0)))))))))))))))))) -> 3(3(2(0(3(1(0(2(1(2(3(0(1(0(2(3(2(0(z0))))))))))))))))))
   3(c_1(c_0(c_2(c_1(c_0(c_1(c_0(c_1(c_0(c_2(c_2(c_0(c_2(c_3(c_3(c_2(c_2(z0)))))))))))))))))) -> 0(3(0(0(0(2(3(2(1(3(0(2(2(1(1(1(2(2(z0))))))))))))))))))
   3(c_0(c_1(c_0(c_2(c_3(c_2(c_0(c_1(c_0(c_1(c_2(c_3(c_1(c_2(c_0(c_1(c_2(z0)))))))))))))))))) -> 3(0(1(1(1(1(2(2(3(0(1(2(0(3(0(2(0(2(z0))))))))))))))))))
   3(c_2(c_0(c_3(c_0(c_1(c_1(c_0(c_2(c_3(c_0(c_3(c_0(c_0(c_1(c_0(c_2(c_0(z0)))))))))))))))))) -> 3(2(0(0(1(1(1(0(0(3(3(2(3(0(0(0(2(0(z0))))))))))))))))))
   3(c_2(c_2(c_0(c_2(c_3(c_0(c_1(c_0(c_3(c_1(c_3(c_3(c_1(c_3(c_1(c_2(c_3(z0)))))))))))))))))) -> 3(2(0(3(1(2(0(3(3(1(1(1(0(2(3(2(3(3(z0))))))))))))))))))
   3(c_0(c_3(c_0(c_3(c_2(c_2(c_3(c_2(c_1(c_0(c_2(c_3(c_1(c_2(c_3(c_3(c_0(z0)))))))))))))))))) -> 3(1(2(1(2(3(2(0(2(3(2(0(0(3(3(3(3(0(z0))))))))))))))))))
   3(c_1(c_1(c_0(c_1(c_0(c_3(c_1(c_1(c_2(c_1(c_3(c_0(c_3(c_3(c_1(c_0(c_3(z0)))))))))))))))))) -> 3(1(1(1(3(1(1(1(0(3(0(0(1(2(3(3(0(3(z0))))))))))))))))))
   3(c_0(c_1(c_0(c_0(c_2(c_1(c_0(c_1(c_3(c_2(c_1(c_1(c_3(c_3(c_0(c_1(c_1(z0)))))))))))))))))) -> 3(0(0(2(3(1(1(1(0(1(3(0(1(0(3(2(1(1(z0))))))))))))))))))
   3(c_2(c_3(c_2(c_2(c_2(c_0(c_2(c_3(c_0(c_1(c_2(c_3(c_0(c_1(c_1(c_0(c_2(z0)))))))))))))))))) -> 3(2(2(3(3(0(3(1(2(2(0(1(0(0(2(2(1(2(z0))))))))))))))))))
   3(c_0(c_1(c_0(c_0(c_0(c_0(c_3(c_3(c_2(c_0(c_0(c_1(c_0(c_0(c_2(c_2(c_2(z0)))))))))))))))))) -> 0(2(0(3(0(0(2(0(3(3(0(0(0(2(1(0(1(2(z0))))))))))))))))))
   3(c_0(c_0(c_1(c_3(c_1(c_0(c_2(c_3(c_3(c_1(c_3(c_3(c_3(c_3(c_2(c_1(c_0(z0)))))))))))))))))) -> 3(0(3(1(1(2(2(1(3(0(3(3(0(3(3(3(1(0(z0))))))))))))))))))
   3(c_2(c_2(c_1(c_3(c_1(c_2(c_2(c_3(c_3(c_0(c_2(c_1(c_0(c_1(c_3(c_2(c_1(z0)))))))))))))))))) -> 3(2(3(1(1(2(3(0(2(1(3(1(1(2(3(0(2(2(z0))))))))))))))))))
   3(c_2(c_2(c_2(c_2(c_2(c_1(c_0(c_0(c_1(c_3(c_2(c_3(c_1(c_3(c_3(c_2(c_1(z0)))))))))))))))))) -> 3(2(3(1(0(2(2(2(1(3(3(2(1(0(2(2(3(1(z0))))))))))))))))))
   3(c_1(c_2(c_2(c_3(c_1(c_0(c_1(c_1(c_1(c_1(c_3(c_2(c_1(c_1(c_1(c_3(c_1(z0)))))))))))))))))) -> 3(1(1(2(2(3(1(1(0(1(2(1(1(3(1(1(3(1(z0))))))))))))))))))
   3(c_3(c_1(c_3(c_3(c_2(c_1(c_3(c_2(c_3(c_3(c_2(c_3(c_1(c_3(c_2(c_3(c_1(z0)))))))))))))))))) -> 3(1(3(1(2(2(3(3(3(3(3(3(3(2(2(1(3(1(z0))))))))))))))))))
   3(c_0(c_0(c_1(c_3(c_2(c_2(c_1(c_3(c_3(c_0(c_1(c_2(c_1(c_0(c_3(c_1(c_2(z0)))))))))))))))))) -> 3(0(1(1(3(3(0(2(3(1(2(1(3(0(2(0(1(2(z0))))))))))))))))))
   3(c_2(c_1(c_0(c_1(c_0(c_1(c_3(c_0(c_1(c_2(c_3(c_0(c_0(c_1(c_3(c_0(c_1(z0)))))))))))))))))) -> 3(0(0(3(0(3(3(0(0(1(1(0(1(2(1(2(1(1(z0))))))))))))))))))
   3(c_0(c_1(c_0(c_2(c_1(c_0(c_0(c_0(c_0(c_1(c_1(c_3(c_2(c_2(c_3(c_0(c_1(z0)))))))))))))))))) -> 3(0(0(3(0(3(2(1(1(0(0(0(2(1(1(1(0(2(z0))))))))))))))))))
   3(c_3(c_2(c_2(c_3(c_0(c_1(c_3(c_3(c_3(c_0(c_0(c_0(c_2(c_0(c_2(c_3(c_0(z0)))))))))))))))))) -> 3(3(3(0(3(2(0(2(3(0(2(2(0(1(3(0(3(0(z0))))))))))))))))))
   3(c_2(c_0(c_1(c_2(c_3(c_2(c_2(c_1(c_3(c_0(c_3(c_3(c_1(c_3(c_3(c_2(c_2(z0)))))))))))))))))) -> 3(2(0(1(2(0(1(3(3(2(3(3(3(3(1(2(2(2(z0))))))))))))))))))
   3(c_1(c_0(c_3(c_2(c_1(c_0(c_3(c_0(c_2(c_3(c_2(c_3(c_0(c_1(c_3(c_3(c_2(z0)))))))))))))))))) -> 3(1(0(3(1(3(3(3(0(2(3(0(3(2(2(0(1(2(z0))))))))))))))))))
   3(c_3(c_1(c_3(c_0(c_2(c_3(c_3(c_3(c_1(c_0(c_0(c_2(c_2(c_0(c_2(c_0(c_1(z0)))))))))))))))))) -> 3(0(0(2(0(0(3(0(3(3(2(1(2(1(2(3(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_2(c_0(c_3(c_2(c_1(c_0(z0)))))))))))))))))) -> 3(3(1(0(0(2(1(1(1(2(3(1(1(2(0(0(3(0(z0))))))))))))))))))
   3(c_2(c_2(c_2(c_2(c_3(c_3(c_1(c_3(c_1(c_1(c_3(c_3(c_1(c_2(c_2(c_3(c_2(z0)))))))))))))))))) -> 3(2(3(2(3(1(2(3(1(2(3(3(2(3(2(1(1(2(z0))))))))))))))))))
Tuples:
   ENCARG(cons_1(z0)) -> c1(1'(encArg(z0)), ENCARG(z0))
   ENCARG(cons_2(z0)) -> c2(2'(encArg(z0)), ENCARG(z0))
   ENCARG(cons_3(z0)) -> c3(3'(encArg(z0)), ENCARG(z0))
   0'(c_2(c_3(c_3(c_2(c_1(c_3(c_0(c_1(c_3(c_1(c_3(c_3(c_0(c_2(c_1(c_0(c_1(z0)))))))))))))))))) -> c9(0'(2(3(3(0(3(1(0(2(3(1(0(3(3(2(1(1(1(z0)))))))))))))))))), 2'(3(3(0(3(1(0(2(3(1(0(3(3(2(1(1(1(z0))))))))))))))))), 3'(3(0(3(1(0(2(3(1(0(3(3(2(1(1(1(z0)))))))))))))))), 3'(0(3(1(0(2(3(1(0(3(3(2(1(1(1(z0))))))))))))))), 0'(3(1(0(2(3(1(0(3(3(2(1(1(1(z0)))))))))))))), 3'(1(0(2(3(1(0(3(3(2(1(1(1(z0))))))))))))), 1'(0(2(3(1(0(3(3(2(1(1(1(z0)))))))))))), 0'(2(3(1(0(3(3(2(1(1(1(z0))))))))))), 2'(3(1(0(3(3(2(1(1(1(z0)))))))))), 3'(1(0(3(3(2(1(1(1(z0))))))))), 1'(0(3(3(2(1(1(1(z0)))))))), 0'(3(3(2(1(1(1(z0))))))), 3'(3(2(1(1(1(z0)))))), 3'(2(1(1(1(z0))))), 2'(1(1(1(z0)))), 1'(1(1(z0))), 1'(1(z0)), 1'(z0))
   0'(c_3(c_1(c_0(c_2(c_2(c_1(c_0(c_1(c_1(c_0(c_0(c_3(c_1(c_2(c_2(c_3(c_0(z0)))))))))))))))))) -> c10(0'(3(1(1(0(3(2(0(2(1(2(2(0(3(1(1(0(0(z0)))))))))))))))))), 3'(1(1(0(3(2(0(2(1(2(2(0(3(1(1(0(0(z0))))))))))))))))), 1'(1(0(3(2(0(2(1(2(2(0(3(1(1(0(0(z0)))))))))))))))), 1'(0(3(2(0(2(1(2(2(0(3(1(1(0(0(z0))))))))))))))), 0'(3(2(0(2(1(2(2(0(3(1(1(0(0(z0)))))))))))))), 3'(2(0(2(1(2(2(0(3(1(1(0(0(z0))))))))))))), 2'(0(2(1(2(2(0(3(1(1(0(0(z0)))))))))))), 0'(2(1(2(2(0(3(1(1(0(0(z0))))))))))), 2'(1(2(2(0(3(1(1(0(0(z0)))))))))), 1'(2(2(0(3(1(1(0(0(z0))))))))), 2'(2(0(3(1(1(0(0(z0)))))))), 2'(0(3(1(1(0(0(z0))))))), 0'(3(1(1(0(0(z0)))))), 3'(1(1(0(0(z0))))), 1'(1(0(0(z0)))), 1'(0(0(z0))), 0'(0(z0)), 0'(z0))
   0'(c_1(c_0(c_3(c_2(c_2(c_3(c_2(c_0(c_1(c_1(c_1(c_1(c_0(c_1(c_0(c_1(c_1(z0)))))))))))))))))) -> c11(1'(2(3(1(1(0(0(1(1(3(0(0(2(0(2(1(1(1(z0)))))))))))))))))), 2'(3(1(1(0(0(1(1(3(0(0(2(0(2(1(1(1(z0))))))))))))))))), 3'(1(1(0(0(1(1(3(0(0(2(0(2(1(1(1(z0)))))))))))))))), 1'(1(0(0(1(1(3(0(0(2(0(2(1(1(1(z0))))))))))))))), 1'(0(0(1(1(3(0(0(2(0(2(1(1(1(z0)))))))))))))), 0'(0(1(1(3(0(0(2(0(2(1(1(1(z0))))))))))))), 0'(1(1(3(0(0(2(0(2(1(1(1(z0)))))))))))), 1'(1(3(0(0(2(0(2(1(1(1(z0))))))))))), 1'(3(0(0(2(0(2(1(1(1(z0)))))))))), 3'(0(0(2(0(2(1(1(1(z0))))))))), 0'(0(2(0(2(1(1(1(z0)))))))), 0'(2(0(2(1(1(1(z0))))))), 2'(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))
   0'(c_2(c_0(c_2(c_2(c_1(c_1(c_0(c_2(c_0(c_0(c_0(c_1(c_0(c_3(c_0(c_2(c_0(z0)))))))))))))))))) -> c12(0'(2(1(1(1(0(2(0(2(0(0(0(0(3(2(0(2(0(z0)))))))))))))))))), 2'(1(1(1(0(2(0(2(0(0(0(0(3(2(0(2(0(z0))))))))))))))))), 1'(1(1(0(2(0(2(0(0(0(0(3(2(0(2(0(z0)))))))))))))))), 1'(1(0(2(0(2(0(0(0(0(3(2(0(2(0(z0))))))))))))))), 1'(0(2(0(2(0(0(0(0(3(2(0(2(0(z0)))))))))))))), 0'(2(0(2(0(0(0(0(3(2(0(2(0(z0))))))))))))), 2'(0(2(0(0(0(0(3(2(0(2(0(z0)))))))))))), 0'(2(0(0(0(0(3(2(0(2(0(z0))))))))))), 2'(0(0(0(0(3(2(0(2(0(z0)))))))))), 0'(0(0(0(3(2(0(2(0(z0))))))))), 0'(0(0(3(2(0(2(0(z0)))))))), 0'(0(3(2(0(2(0(z0))))))), 0'(3(2(0(2(0(z0)))))), 3'(2(0(2(0(z0))))), 2'(0(2(0(z0)))), 0'(2(0(z0))), 2'(0(z0)), 0'(z0))
   0'(c_0(c_2(c_0(c_0(c_0(c_1(c_1(c_0(c_2(c_2(c_3(c_3(c_0(c_0(c_3(c_0(c_2(z0)))))))))))))))))) -> c13(0'(2(0(0(3(1(1(2(3(0(2(0(0(3(0(0(0(2(z0)))))))))))))))))), 2'(0(0(3(1(1(2(3(0(2(0(0(3(0(0(0(2(z0))))))))))))))))), 0'(0(3(1(1(2(3(0(2(0(0(3(0(0(0(2(z0)))))))))))))))), 0'(3(1(1(2(3(0(2(0(0(3(0(0(0(2(z0))))))))))))))), 3'(1(1(2(3(0(2(0(0(3(0(0(0(2(z0)))))))))))))), 1'(1(2(3(0(2(0(0(3(0(0(0(2(z0))))))))))))), 1'(2(3(0(2(0(0(3(0(0(0(2(z0)))))))))))), 2'(3(0(2(0(0(3(0(0(0(2(z0))))))))))), 3'(0(2(0(0(3(0(0(0(2(z0)))))))))), 0'(2(0(0(3(0(0(0(2(z0))))))))), 2'(0(0(3(0(0(0(2(z0)))))))), 0'(0(3(0(0(0(2(z0))))))), 0'(3(0(0(0(2(z0)))))), 3'(0(0(0(2(z0))))), 0'(0(0(2(z0)))), 0'(0(2(z0))), 0'(2(z0)), 2'(z0))
   0'(c_0(c_3(c_2(c_0(c_0(c_1(c_0(c_1(c_3(c_2(c_3(c_2(c_2(c_2(c_0(c_1(c_1(z0)))))))))))))))))) -> c14(2'(0(0(1(3(1(2(1(2(0(3(2(0(0(3(0(1(2(z0)))))))))))))))))), 0'(0(1(3(1(2(1(2(0(3(2(0(0(3(0(1(2(z0))))))))))))))))), 0'(1(3(1(2(1(2(0(3(2(0(0(3(0(1(2(z0)))))))))))))))), 1'(3(1(2(1(2(0(3(2(0(0(3(0(1(2(z0))))))))))))))), 3'(1(2(1(2(0(3(2(0(0(3(0(1(2(z0)))))))))))))), 1'(2(1(2(0(3(2(0(0(3(0(1(2(z0))))))))))))), 2'(1(2(0(3(2(0(0(3(0(1(2(z0)))))))))))), 1'(2(0(3(2(0(0(3(0(1(2(z0))))))))))), 2'(0(3(2(0(0(3(0(1(2(z0)))))))))), 0'(3(2(0(0(3(0(1(2(z0))))))))), 3'(2(0(0(3(0(1(2(z0)))))))), 2'(0(0(3(0(1(2(z0))))))), 0'(0(3(0(1(2(z0)))))), 0'(3(0(1(2(z0))))), 3'(0(1(2(z0)))), 0'(1(2(z0))), 1'(2(z0)), 2'(z0))
   0'(c_2(c_2(c_2(c_2(c_2(c_1(c_3(c_1(c_0(c_1(c_2(c_3(c_2(c_0(c_1(c_1(c_2(z0)))))))))))))))))) -> c15(2'(1(2(1(2(3(2(1(2(1(2(0(0(2(0(1(3(2(z0)))))))))))))))))), 1'(2(1(2(3(2(1(2(1(2(0(0(2(0(1(3(2(z0))))))))))))))))), 2'(1(2(3(2(1(2(1(2(0(0(2(0(1(3(2(z0)))))))))))))))), 1'(2(3(2(1(2(1(2(0(0(2(0(1(3(2(z0))))))))))))))), 2'(3(2(1(2(1(2(0(0(2(0(1(3(2(z0)))))))))))))), 3'(2(1(2(1(2(0(0(2(0(1(3(2(z0))))))))))))), 2'(1(2(1(2(0(0(2(0(1(3(2(z0)))))))))))), 1'(2(1(2(0(0(2(0(1(3(2(z0))))))))))), 2'(1(2(0(0(2(0(1(3(2(z0)))))))))), 1'(2(0(0(2(0(1(3(2(z0))))))))), 2'(0(0(2(0(1(3(2(z0)))))))), 0'(0(2(0(1(3(2(z0))))))), 0'(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))
   0'(c_0(c_2(c_1(c_0(c_0(c_1(c_0(c_1(c_0(c_3(c_1(c_3(c_3(c_2(c_0(c_1(c_1(z0)))))))))))))))))) -> c16(3'(0(0(2(0(1(1(0(2(0(3(1(0(1(0(3(1(1(z0)))))))))))))))))), 0'(0(2(0(1(1(0(2(0(3(1(0(1(0(3(1(1(z0))))))))))))))))), 0'(2(0(1(1(0(2(0(3(1(0(1(0(3(1(1(z0)))))))))))))))), 2'(0(1(1(0(2(0(3(1(0(1(0(3(1(1(z0))))))))))))))), 0'(1(1(0(2(0(3(1(0(1(0(3(1(1(z0)))))))))))))), 1'(1(0(2(0(3(1(0(1(0(3(1(1(z0))))))))))))), 1'(0(2(0(3(1(0(1(0(3(1(1(z0)))))))))))), 0'(2(0(3(1(0(1(0(3(1(1(z0))))))))))), 2'(0(3(1(0(1(0(3(1(1(z0)))))))))), 0'(3(1(0(1(0(3(1(1(z0))))))))), 3'(1(0(1(0(3(1(1(z0)))))))), 1'(0(1(0(3(1(1(z0))))))), 0'(1(0(3(1(1(z0)))))), 1'(0(3(1(1(z0))))), 0'(3(1(1(z0)))), 3'(1(1(z0))), 1'(1(z0)), 1'(z0))
   0'(c_0(c_0(c_1(c_3(c_2(c_2(c_3(c_0(c_2(c_2(c_0(c_1(c_0(c_0(c_0(c_1(c_2(z0)))))))))))))))))) -> c17(0'(3(0(0(3(0(2(1(2(1(0(0(1(2(0(2(0(2(z0)))))))))))))))))), 3'(0(0(3(0(2(1(2(1(0(0(1(2(0(2(0(2(z0))))))))))))))))), 0'(0(3(0(2(1(2(1(0(0(1(2(0(2(0(2(z0)))))))))))))))), 0'(3(0(2(1(2(1(0(0(1(2(0(2(0(2(z0))))))))))))))), 3'(0(2(1(2(1(0(0(1(2(0(2(0(2(z0)))))))))))))), 0'(2(1(2(1(0(0(1(2(0(2(0(2(z0))))))))))))), 2'(1(2(1(0(0(1(2(0(2(0(2(z0)))))))))))), 1'(2(1(0(0(1(2(0(2(0(2(z0))))))))))), 2'(1(0(0(1(2(0(2(0(2(z0)))))))))), 1'(0(0(1(2(0(2(0(2(z0))))))))), 0'(0(1(2(0(2(0(2(z0)))))))), 0'(1(2(0(2(0(2(z0))))))), 1'(2(0(2(0(2(z0)))))), 2'(0(2(0(2(z0))))), 0'(2(0(2(z0)))), 2'(0(2(z0))), 0'(2(z0)), 2'(z0))
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   3'(c_3(c_2(c_2(c_3(c_0(c_1(c_3(c_3(c_3(c_0(c_0(c_0(c_2(c_0(c_2(c_3(c_0(z0)))))))))))))))))) -> c86(3'(3(3(0(3(2(0(2(3(0(2(2(0(1(3(0(3(0(z0)))))))))))))))))), 3'(3(0(3(2(0(2(3(0(2(2(0(1(3(0(3(0(z0))))))))))))))))), 3'(0(3(2(0(2(3(0(2(2(0(1(3(0(3(0(z0)))))))))))))))), 0'(3(2(0(2(3(0(2(2(0(1(3(0(3(0(z0))))))))))))))), 3'(2(0(2(3(0(2(2(0(1(3(0(3(0(z0)))))))))))))), 2'(0(2(3(0(2(2(0(1(3(0(3(0(z0))))))))))))), 0'(2(3(0(2(2(0(1(3(0(3(0(z0)))))))))))), 2'(3(0(2(2(0(1(3(0(3(0(z0))))))))))), 3'(0(2(2(0(1(3(0(3(0(z0)))))))))), 0'(2(2(0(1(3(0(3(0(z0))))))))), 2'(2(0(1(3(0(3(0(z0)))))))), 2'(0(1(3(0(3(0(z0))))))), 0'(1(3(0(3(0(z0)))))), 1'(3(0(3(0(z0))))), 3'(0(3(0(z0)))), 0'(3(0(z0))), 3'(0(z0)), 0'(z0))
   3'(c_2(c_0(c_1(c_2(c_3(c_2(c_2(c_1(c_3(c_0(c_3(c_3(c_1(c_3(c_3(c_2(c_2(z0)))))))))))))))))) -> c87(3'(2(0(1(2(0(1(3(3(2(3(3(3(3(1(2(2(2(z0)))))))))))))))))), 2'(0(1(2(0(1(3(3(2(3(3(3(3(1(2(2(2(z0))))))))))))))))), 0'(1(2(0(1(3(3(2(3(3(3(3(1(2(2(2(z0)))))))))))))))), 1'(2(0(1(3(3(2(3(3(3(3(1(2(2(2(z0))))))))))))))), 2'(0(1(3(3(2(3(3(3(3(1(2(2(2(z0)))))))))))))), 0'(1(3(3(2(3(3(3(3(1(2(2(2(z0))))))))))))), 1'(3(3(2(3(3(3(3(1(2(2(2(z0)))))))))))), 3'(3(2(3(3(3(3(1(2(2(2(z0))))))))))), 3'(2(3(3(3(3(1(2(2(2(z0)))))))))), 2'(3(3(3(3(1(2(2(2(z0))))))))), 3'(3(3(3(1(2(2(2(z0)))))))), 3'(3(3(1(2(2(2(z0))))))), 3'(3(1(2(2(2(z0)))))), 3'(1(2(2(2(z0))))), 1'(2(2(2(z0)))), 2'(2(2(z0))), 2'(2(z0)), 2'(z0))
   3'(c_1(c_0(c_3(c_2(c_1(c_0(c_3(c_0(c_2(c_3(c_2(c_3(c_0(c_1(c_3(c_3(c_2(z0)))))))))))))))))) -> c88(3'(1(0(3(1(3(3(3(0(2(3(0(3(2(2(0(1(2(z0)))))))))))))))))), 1'(0(3(1(3(3(3(0(2(3(0(3(2(2(0(1(2(z0))))))))))))))))), 0'(3(1(3(3(3(0(2(3(0(3(2(2(0(1(2(z0)))))))))))))))), 3'(1(3(3(3(0(2(3(0(3(2(2(0(1(2(z0))))))))))))))), 1'(3(3(3(0(2(3(0(3(2(2(0(1(2(z0)))))))))))))), 3'(3(3(0(2(3(0(3(2(2(0(1(2(z0))))))))))))), 3'(3(0(2(3(0(3(2(2(0(1(2(z0)))))))))))), 3'(0(2(3(0(3(2(2(0(1(2(z0))))))))))), 0'(2(3(0(3(2(2(0(1(2(z0)))))))))), 2'(3(0(3(2(2(0(1(2(z0))))))))), 3'(0(3(2(2(0(1(2(z0)))))))), 0'(3(2(2(0(1(2(z0))))))), 3'(2(2(0(1(2(z0)))))), 2'(2(0(1(2(z0))))), 2'(0(1(2(z0)))), 0'(1(2(z0))), 1'(2(z0)), 2'(z0))
   3'(c_3(c_1(c_3(c_0(c_2(c_3(c_3(c_3(c_1(c_0(c_0(c_2(c_2(c_0(c_2(c_0(c_1(z0)))))))))))))))))) -> c89(3'(0(0(2(0(0(3(0(3(3(2(1(2(1(2(3(3(1(z0)))))))))))))))))), 0'(0(2(0(0(3(0(3(3(2(1(2(1(2(3(3(1(z0))))))))))))))))), 0'(2(0(0(3(0(3(3(2(1(2(1(2(3(3(1(z0)))))))))))))))), 2'(0(0(3(0(3(3(2(1(2(1(2(3(3(1(z0))))))))))))))), 0'(0(3(0(3(3(2(1(2(1(2(3(3(1(z0)))))))))))))), 0'(3(0(3(3(2(1(2(1(2(3(3(1(z0))))))))))))), 3'(0(3(3(2(1(2(1(2(3(3(1(z0)))))))))))), 0'(3(3(2(1(2(1(2(3(3(1(z0))))))))))), 3'(3(2(1(2(1(2(3(3(1(z0)))))))))), 3'(2(1(2(1(2(3(3(1(z0))))))))), 2'(1(2(1(2(3(3(1(z0)))))))), 1'(2(1(2(3(3(1(z0))))))), 2'(1(2(3(3(1(z0)))))), 1'(2(3(3(1(z0))))), 2'(3(3(1(z0)))), 3'(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_2(c_0(c_3(c_2(c_1(c_0(z0)))))))))))))))))) -> c90(3'(3(1(0(0(2(1(1(1(2(3(1(1(2(0(0(3(0(z0)))))))))))))))))), 3'(1(0(0(2(1(1(1(2(3(1(1(2(0(0(3(0(z0))))))))))))))))), 1'(0(0(2(1(1(1(2(3(1(1(2(0(0(3(0(z0)))))))))))))))), 0'(0(2(1(1(1(2(3(1(1(2(0(0(3(0(z0))))))))))))))), 0'(2(1(1(1(2(3(1(1(2(0(0(3(0(z0)))))))))))))), 2'(1(1(1(2(3(1(1(2(0(0(3(0(z0))))))))))))), 1'(1(1(2(3(1(1(2(0(0(3(0(z0)))))))))))), 1'(1(2(3(1(1(2(0(0(3(0(z0))))))))))), 1'(2(3(1(1(2(0(0(3(0(z0)))))))))), 2'(3(1(1(2(0(0(3(0(z0))))))))), 3'(1(1(2(0(0(3(0(z0)))))))), 1'(1(2(0(0(3(0(z0))))))), 1'(2(0(0(3(0(z0)))))), 2'(0(0(3(0(z0))))), 0'(0(3(0(z0)))), 0'(3(0(z0))), 3'(0(z0)), 0'(z0))
   3'(c_2(c_2(c_2(c_2(c_3(c_3(c_1(c_3(c_1(c_1(c_3(c_3(c_1(c_2(c_2(c_3(c_2(z0)))))))))))))))))) -> c91(3'(2(3(2(3(1(2(3(1(2(3(3(2(3(2(1(1(2(z0)))))))))))))))))), 2'(3(2(3(1(2(3(1(2(3(3(2(3(2(1(1(2(z0))))))))))))))))), 3'(2(3(1(2(3(1(2(3(3(2(3(2(1(1(2(z0)))))))))))))))), 2'(3(1(2(3(1(2(3(3(2(3(2(1(1(2(z0))))))))))))))), 3'(1(2(3(1(2(3(3(2(3(2(1(1(2(z0)))))))))))))), 1'(2(3(1(2(3(3(2(3(2(1(1(2(z0))))))))))))), 2'(3(1(2(3(3(2(3(2(1(1(2(z0)))))))))))), 3'(1(2(3(3(2(3(2(1(1(2(z0))))))))))), 1'(2(3(3(2(3(2(1(1(2(z0)))))))))), 2'(3(3(2(3(2(1(1(2(z0))))))))), 3'(3(2(3(2(1(1(2(z0)))))))), 3'(2(3(2(1(1(2(z0))))))), 2'(3(2(1(1(2(z0)))))), 3'(2(1(1(2(z0))))), 2'(1(1(2(z0)))), 1'(1(2(z0))), 1'(2(z0)), 2'(z0))
   ENCODE_0(z0) -> c8(0'(encArg(z0)))
   ENCODE_1(z0) -> c8(1'(encArg(z0)))
   ENCODE_3(z0) -> c8(3'(encArg(z0)))
   ENCODE_2(z0) -> c8(2'(encArg(z0)))
   ENCARG(cons_0(cons_0(z0))) -> c(0'(0(encArg(z0))), ENCARG(cons_0(z0)))
   ENCARG(cons_0(cons_1(z0))) -> c(0'(1(encArg(z0))), ENCARG(cons_1(z0)))
   ENCARG(cons_0(cons_2(z0))) -> c(0'(2(encArg(z0))), ENCARG(cons_2(z0)))
   ENCARG(cons_0(cons_3(z0))) -> c(0'(3(encArg(z0))), ENCARG(cons_3(z0)))
S tuples:
   0'(c_2(c_3(c_3(c_2(c_1(c_3(c_0(c_1(c_3(c_1(c_3(c_3(c_0(c_2(c_1(c_0(c_1(z0)))))))))))))))))) -> c9(0'(2(3(3(0(3(1(0(2(3(1(0(3(3(2(1(1(1(z0)))))))))))))))))), 2'(3(3(0(3(1(0(2(3(1(0(3(3(2(1(1(1(z0))))))))))))))))), 3'(3(0(3(1(0(2(3(1(0(3(3(2(1(1(1(z0)))))))))))))))), 3'(0(3(1(0(2(3(1(0(3(3(2(1(1(1(z0))))))))))))))), 0'(3(1(0(2(3(1(0(3(3(2(1(1(1(z0)))))))))))))), 3'(1(0(2(3(1(0(3(3(2(1(1(1(z0))))))))))))), 1'(0(2(3(1(0(3(3(2(1(1(1(z0)))))))))))), 0'(2(3(1(0(3(3(2(1(1(1(z0))))))))))), 2'(3(1(0(3(3(2(1(1(1(z0)))))))))), 3'(1(0(3(3(2(1(1(1(z0))))))))), 1'(0(3(3(2(1(1(1(z0)))))))), 0'(3(3(2(1(1(1(z0))))))), 3'(3(2(1(1(1(z0)))))), 3'(2(1(1(1(z0))))), 2'(1(1(1(z0)))), 1'(1(1(z0))), 1'(1(z0)), 1'(z0))
   0'(c_3(c_1(c_0(c_2(c_2(c_1(c_0(c_1(c_1(c_0(c_0(c_3(c_1(c_2(c_2(c_3(c_0(z0)))))))))))))))))) -> c10(0'(3(1(1(0(3(2(0(2(1(2(2(0(3(1(1(0(0(z0)))))))))))))))))), 3'(1(1(0(3(2(0(2(1(2(2(0(3(1(1(0(0(z0))))))))))))))))), 1'(1(0(3(2(0(2(1(2(2(0(3(1(1(0(0(z0)))))))))))))))), 1'(0(3(2(0(2(1(2(2(0(3(1(1(0(0(z0))))))))))))))), 0'(3(2(0(2(1(2(2(0(3(1(1(0(0(z0)))))))))))))), 3'(2(0(2(1(2(2(0(3(1(1(0(0(z0))))))))))))), 2'(0(2(1(2(2(0(3(1(1(0(0(z0)))))))))))), 0'(2(1(2(2(0(3(1(1(0(0(z0))))))))))), 2'(1(2(2(0(3(1(1(0(0(z0)))))))))), 1'(2(2(0(3(1(1(0(0(z0))))))))), 2'(2(0(3(1(1(0(0(z0)))))))), 2'(0(3(1(1(0(0(z0))))))), 0'(3(1(1(0(0(z0)))))), 3'(1(1(0(0(z0))))), 1'(1(0(0(z0)))), 1'(0(0(z0))), 0'(0(z0)), 0'(z0))
   0'(c_1(c_0(c_3(c_2(c_2(c_3(c_2(c_0(c_1(c_1(c_1(c_1(c_0(c_1(c_0(c_1(c_1(z0)))))))))))))))))) -> c11(1'(2(3(1(1(0(0(1(1(3(0(0(2(0(2(1(1(1(z0)))))))))))))))))), 2'(3(1(1(0(0(1(1(3(0(0(2(0(2(1(1(1(z0))))))))))))))))), 3'(1(1(0(0(1(1(3(0(0(2(0(2(1(1(1(z0)))))))))))))))), 1'(1(0(0(1(1(3(0(0(2(0(2(1(1(1(z0))))))))))))))), 1'(0(0(1(1(3(0(0(2(0(2(1(1(1(z0)))))))))))))), 0'(0(1(1(3(0(0(2(0(2(1(1(1(z0))))))))))))), 0'(1(1(3(0(0(2(0(2(1(1(1(z0)))))))))))), 1'(1(3(0(0(2(0(2(1(1(1(z0))))))))))), 1'(3(0(0(2(0(2(1(1(1(z0)))))))))), 3'(0(0(2(0(2(1(1(1(z0))))))))), 0'(0(2(0(2(1(1(1(z0)))))))), 0'(2(0(2(1(1(1(z0))))))), 2'(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))
   0'(c_2(c_0(c_2(c_2(c_1(c_1(c_0(c_2(c_0(c_0(c_0(c_1(c_0(c_3(c_0(c_2(c_0(z0)))))))))))))))))) -> c12(0'(2(1(1(1(0(2(0(2(0(0(0(0(3(2(0(2(0(z0)))))))))))))))))), 2'(1(1(1(0(2(0(2(0(0(0(0(3(2(0(2(0(z0))))))))))))))))), 1'(1(1(0(2(0(2(0(0(0(0(3(2(0(2(0(z0)))))))))))))))), 1'(1(0(2(0(2(0(0(0(0(3(2(0(2(0(z0))))))))))))))), 1'(0(2(0(2(0(0(0(0(3(2(0(2(0(z0)))))))))))))), 0'(2(0(2(0(0(0(0(3(2(0(2(0(z0))))))))))))), 2'(0(2(0(0(0(0(3(2(0(2(0(z0)))))))))))), 0'(2(0(0(0(0(3(2(0(2(0(z0))))))))))), 2'(0(0(0(0(3(2(0(2(0(z0)))))))))), 0'(0(0(0(3(2(0(2(0(z0))))))))), 0'(0(0(3(2(0(2(0(z0)))))))), 0'(0(3(2(0(2(0(z0))))))), 0'(3(2(0(2(0(z0)))))), 3'(2(0(2(0(z0))))), 2'(0(2(0(z0)))), 0'(2(0(z0))), 2'(0(z0)), 0'(z0))
   0'(c_0(c_2(c_0(c_0(c_0(c_1(c_1(c_0(c_2(c_2(c_3(c_3(c_0(c_0(c_3(c_0(c_2(z0)))))))))))))))))) -> c13(0'(2(0(0(3(1(1(2(3(0(2(0(0(3(0(0(0(2(z0)))))))))))))))))), 2'(0(0(3(1(1(2(3(0(2(0(0(3(0(0(0(2(z0))))))))))))))))), 0'(0(3(1(1(2(3(0(2(0(0(3(0(0(0(2(z0)))))))))))))))), 0'(3(1(1(2(3(0(2(0(0(3(0(0(0(2(z0))))))))))))))), 3'(1(1(2(3(0(2(0(0(3(0(0(0(2(z0)))))))))))))), 1'(1(2(3(0(2(0(0(3(0(0(0(2(z0))))))))))))), 1'(2(3(0(2(0(0(3(0(0(0(2(z0)))))))))))), 2'(3(0(2(0(0(3(0(0(0(2(z0))))))))))), 3'(0(2(0(0(3(0(0(0(2(z0)))))))))), 0'(2(0(0(3(0(0(0(2(z0))))))))), 2'(0(0(3(0(0(0(2(z0)))))))), 0'(0(3(0(0(0(2(z0))))))), 0'(3(0(0(0(2(z0)))))), 3'(0(0(0(2(z0))))), 0'(0(0(2(z0)))), 0'(0(2(z0))), 0'(2(z0)), 2'(z0))
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   3'(c_3(c_1(c_3(c_3(c_2(c_1(c_3(c_2(c_3(c_3(c_2(c_3(c_1(c_3(c_2(c_3(c_1(z0)))))))))))))))))) -> c82(3'(1(3(1(2(2(3(3(3(3(3(3(3(2(2(1(3(1(z0)))))))))))))))))), 1'(3(1(2(2(3(3(3(3(3(3(3(2(2(1(3(1(z0))))))))))))))))), 3'(1(2(2(3(3(3(3(3(3(3(2(2(1(3(1(z0)))))))))))))))), 1'(2(2(3(3(3(3(3(3(3(2(2(1(3(1(z0))))))))))))))), 2'(2(3(3(3(3(3(3(3(2(2(1(3(1(z0)))))))))))))), 2'(3(3(3(3(3(3(3(2(2(1(3(1(z0))))))))))))), 3'(3(3(3(3(3(3(2(2(1(3(1(z0)))))))))))), 3'(3(3(3(3(3(2(2(1(3(1(z0))))))))))), 3'(3(3(3(3(2(2(1(3(1(z0)))))))))), 3'(3(3(3(2(2(1(3(1(z0))))))))), 3'(3(3(2(2(1(3(1(z0)))))))), 3'(3(2(2(1(3(1(z0))))))), 3'(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))
   3'(c_0(c_0(c_1(c_3(c_2(c_2(c_1(c_3(c_3(c_0(c_1(c_2(c_1(c_0(c_3(c_1(c_2(z0)))))))))))))))))) -> c83(3'(0(1(1(3(3(0(2(3(1(2(1(3(0(2(0(1(2(z0)))))))))))))))))), 0'(1(1(3(3(0(2(3(1(2(1(3(0(2(0(1(2(z0))))))))))))))))), 1'(1(3(3(0(2(3(1(2(1(3(0(2(0(1(2(z0)))))))))))))))), 1'(3(3(0(2(3(1(2(1(3(0(2(0(1(2(z0))))))))))))))), 3'(3(0(2(3(1(2(1(3(0(2(0(1(2(z0)))))))))))))), 3'(0(2(3(1(2(1(3(0(2(0(1(2(z0))))))))))))), 0'(2(3(1(2(1(3(0(2(0(1(2(z0)))))))))))), 2'(3(1(2(1(3(0(2(0(1(2(z0))))))))))), 3'(1(2(1(3(0(2(0(1(2(z0)))))))))), 1'(2(1(3(0(2(0(1(2(z0))))))))), 2'(1(3(0(2(0(1(2(z0)))))))), 1'(3(0(2(0(1(2(z0))))))), 3'(0(2(0(1(2(z0)))))), 0'(2(0(1(2(z0))))), 2'(0(1(2(z0)))), 0'(1(2(z0))), 1'(2(z0)), 2'(z0))
   3'(c_2(c_1(c_0(c_1(c_0(c_1(c_3(c_0(c_1(c_2(c_3(c_0(c_0(c_1(c_3(c_0(c_1(z0)))))))))))))))))) -> c84(3'(0(0(3(0(3(3(0(0(1(1(0(1(2(1(2(1(1(z0)))))))))))))))))), 0'(0(3(0(3(3(0(0(1(1(0(1(2(1(2(1(1(z0))))))))))))))))), 0'(3(0(3(3(0(0(1(1(0(1(2(1(2(1(1(z0)))))))))))))))), 3'(0(3(3(0(0(1(1(0(1(2(1(2(1(1(z0))))))))))))))), 0'(3(3(0(0(1(1(0(1(2(1(2(1(1(z0)))))))))))))), 3'(3(0(0(1(1(0(1(2(1(2(1(1(z0))))))))))))), 3'(0(0(1(1(0(1(2(1(2(1(1(z0)))))))))))), 0'(0(1(1(0(1(2(1(2(1(1(z0))))))))))), 0'(1(1(0(1(2(1(2(1(1(z0)))))))))), 1'(1(0(1(2(1(2(1(1(z0))))))))), 1'(0(1(2(1(2(1(1(z0)))))))), 0'(1(2(1(2(1(1(z0))))))), 1'(2(1(2(1(1(z0)))))), 2'(1(2(1(1(z0))))), 1'(2(1(1(z0)))), 2'(1(1(z0))), 1'(1(z0)), 1'(z0))
   3'(c_0(c_1(c_0(c_2(c_1(c_0(c_0(c_0(c_0(c_1(c_1(c_3(c_2(c_2(c_3(c_0(c_1(z0)))))))))))))))))) -> c85(3'(0(0(3(0(3(2(1(1(0(0(0(2(1(1(1(0(2(z0)))))))))))))))))), 0'(0(3(0(3(2(1(1(0(0(0(2(1(1(1(0(2(z0))))))))))))))))), 0'(3(0(3(2(1(1(0(0(0(2(1(1(1(0(2(z0)))))))))))))))), 3'(0(3(2(1(1(0(0(0(2(1(1(1(0(2(z0))))))))))))))), 0'(3(2(1(1(0(0(0(2(1(1(1(0(2(z0)))))))))))))), 3'(2(1(1(0(0(0(2(1(1(1(0(2(z0))))))))))))), 2'(1(1(0(0(0(2(1(1(1(0(2(z0)))))))))))), 1'(1(0(0(0(2(1(1(1(0(2(z0))))))))))), 1'(0(0(0(2(1(1(1(0(2(z0)))))))))), 0'(0(0(2(1(1(1(0(2(z0))))))))), 0'(0(2(1(1(1(0(2(z0)))))))), 0'(2(1(1(1(0(2(z0))))))), 2'(1(1(1(0(2(z0)))))), 1'(1(1(0(2(z0))))), 1'(1(0(2(z0)))), 1'(0(2(z0))), 0'(2(z0)), 2'(z0))
   3'(c_3(c_2(c_2(c_3(c_0(c_1(c_3(c_3(c_3(c_0(c_0(c_0(c_2(c_0(c_2(c_3(c_0(z0)))))))))))))))))) -> c86(3'(3(3(0(3(2(0(2(3(0(2(2(0(1(3(0(3(0(z0)))))))))))))))))), 3'(3(0(3(2(0(2(3(0(2(2(0(1(3(0(3(0(z0))))))))))))))))), 3'(0(3(2(0(2(3(0(2(2(0(1(3(0(3(0(z0)))))))))))))))), 0'(3(2(0(2(3(0(2(2(0(1(3(0(3(0(z0))))))))))))))), 3'(2(0(2(3(0(2(2(0(1(3(0(3(0(z0)))))))))))))), 2'(0(2(3(0(2(2(0(1(3(0(3(0(z0))))))))))))), 0'(2(3(0(2(2(0(1(3(0(3(0(z0)))))))))))), 2'(3(0(2(2(0(1(3(0(3(0(z0))))))))))), 3'(0(2(2(0(1(3(0(3(0(z0)))))))))), 0'(2(2(0(1(3(0(3(0(z0))))))))), 2'(2(0(1(3(0(3(0(z0)))))))), 2'(0(1(3(0(3(0(z0))))))), 0'(1(3(0(3(0(z0)))))), 1'(3(0(3(0(z0))))), 3'(0(3(0(z0)))), 0'(3(0(z0))), 3'(0(z0)), 0'(z0))
   3'(c_2(c_0(c_1(c_2(c_3(c_2(c_2(c_1(c_3(c_0(c_3(c_3(c_1(c_3(c_3(c_2(c_2(z0)))))))))))))))))) -> c87(3'(2(0(1(2(0(1(3(3(2(3(3(3(3(1(2(2(2(z0)))))))))))))))))), 2'(0(1(2(0(1(3(3(2(3(3(3(3(1(2(2(2(z0))))))))))))))))), 0'(1(2(0(1(3(3(2(3(3(3(3(1(2(2(2(z0)))))))))))))))), 1'(2(0(1(3(3(2(3(3(3(3(1(2(2(2(z0))))))))))))))), 2'(0(1(3(3(2(3(3(3(3(1(2(2(2(z0)))))))))))))), 0'(1(3(3(2(3(3(3(3(1(2(2(2(z0))))))))))))), 1'(3(3(2(3(3(3(3(1(2(2(2(z0)))))))))))), 3'(3(2(3(3(3(3(1(2(2(2(z0))))))))))), 3'(2(3(3(3(3(1(2(2(2(z0)))))))))), 2'(3(3(3(3(1(2(2(2(z0))))))))), 3'(3(3(3(1(2(2(2(z0)))))))), 3'(3(3(1(2(2(2(z0))))))), 3'(3(1(2(2(2(z0)))))), 3'(1(2(2(2(z0))))), 1'(2(2(2(z0)))), 2'(2(2(z0))), 2'(2(z0)), 2'(z0))
   3'(c_1(c_0(c_3(c_2(c_1(c_0(c_3(c_0(c_2(c_3(c_2(c_3(c_0(c_1(c_3(c_3(c_2(z0)))))))))))))))))) -> c88(3'(1(0(3(1(3(3(3(0(2(3(0(3(2(2(0(1(2(z0)))))))))))))))))), 1'(0(3(1(3(3(3(0(2(3(0(3(2(2(0(1(2(z0))))))))))))))))), 0'(3(1(3(3(3(0(2(3(0(3(2(2(0(1(2(z0)))))))))))))))), 3'(1(3(3(3(0(2(3(0(3(2(2(0(1(2(z0))))))))))))))), 1'(3(3(3(0(2(3(0(3(2(2(0(1(2(z0)))))))))))))), 3'(3(3(0(2(3(0(3(2(2(0(1(2(z0))))))))))))), 3'(3(0(2(3(0(3(2(2(0(1(2(z0)))))))))))), 3'(0(2(3(0(3(2(2(0(1(2(z0))))))))))), 0'(2(3(0(3(2(2(0(1(2(z0)))))))))), 2'(3(0(3(2(2(0(1(2(z0))))))))), 3'(0(3(2(2(0(1(2(z0)))))))), 0'(3(2(2(0(1(2(z0))))))), 3'(2(2(0(1(2(z0)))))), 2'(2(0(1(2(z0))))), 2'(0(1(2(z0)))), 0'(1(2(z0))), 1'(2(z0)), 2'(z0))
   3'(c_3(c_1(c_3(c_0(c_2(c_3(c_3(c_3(c_1(c_0(c_0(c_2(c_2(c_0(c_2(c_0(c_1(z0)))))))))))))))))) -> c89(3'(0(0(2(0(0(3(0(3(3(2(1(2(1(2(3(3(1(z0)))))))))))))))))), 0'(0(2(0(0(3(0(3(3(2(1(2(1(2(3(3(1(z0))))))))))))))))), 0'(2(0(0(3(0(3(3(2(1(2(1(2(3(3(1(z0)))))))))))))))), 2'(0(0(3(0(3(3(2(1(2(1(2(3(3(1(z0))))))))))))))), 0'(0(3(0(3(3(2(1(2(1(2(3(3(1(z0)))))))))))))), 0'(3(0(3(3(2(1(2(1(2(3(3(1(z0))))))))))))), 3'(0(3(3(2(1(2(1(2(3(3(1(z0)))))))))))), 0'(3(3(2(1(2(1(2(3(3(1(z0))))))))))), 3'(3(2(1(2(1(2(3(3(1(z0)))))))))), 3'(2(1(2(1(2(3(3(1(z0))))))))), 2'(1(2(1(2(3(3(1(z0)))))))), 1'(2(1(2(3(3(1(z0))))))), 2'(1(2(3(3(1(z0)))))), 1'(2(3(3(1(z0))))), 2'(3(3(1(z0)))), 3'(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_2(c_0(c_3(c_2(c_1(c_0(z0)))))))))))))))))) -> c90(3'(3(1(0(0(2(1(1(1(2(3(1(1(2(0(0(3(0(z0)))))))))))))))))), 3'(1(0(0(2(1(1(1(2(3(1(1(2(0(0(3(0(z0))))))))))))))))), 1'(0(0(2(1(1(1(2(3(1(1(2(0(0(3(0(z0)))))))))))))))), 0'(0(2(1(1(1(2(3(1(1(2(0(0(3(0(z0))))))))))))))), 0'(2(1(1(1(2(3(1(1(2(0(0(3(0(z0)))))))))))))), 2'(1(1(1(2(3(1(1(2(0(0(3(0(z0))))))))))))), 1'(1(1(2(3(1(1(2(0(0(3(0(z0)))))))))))), 1'(1(2(3(1(1(2(0(0(3(0(z0))))))))))), 1'(2(3(1(1(2(0(0(3(0(z0)))))))))), 2'(3(1(1(2(0(0(3(0(z0))))))))), 3'(1(1(2(0(0(3(0(z0)))))))), 1'(1(2(0(0(3(0(z0))))))), 1'(2(0(0(3(0(z0)))))), 2'(0(0(3(0(z0))))), 0'(0(3(0(z0)))), 0'(3(0(z0))), 3'(0(z0)), 0'(z0))
   3'(c_2(c_2(c_2(c_2(c_3(c_3(c_1(c_3(c_1(c_1(c_3(c_3(c_1(c_2(c_2(c_3(c_2(z0)))))))))))))))))) -> c91(3'(2(3(2(3(1(2(3(1(2(3(3(2(3(2(1(1(2(z0)))))))))))))))))), 2'(3(2(3(1(2(3(1(2(3(3(2(3(2(1(1(2(z0))))))))))))))))), 3'(2(3(1(2(3(1(2(3(3(2(3(2(1(1(2(z0)))))))))))))))), 2'(3(1(2(3(1(2(3(3(2(3(2(1(1(2(z0))))))))))))))), 3'(1(2(3(1(2(3(3(2(3(2(1(1(2(z0)))))))))))))), 1'(2(3(1(2(3(3(2(3(2(1(1(2(z0))))))))))))), 2'(3(1(2(3(3(2(3(2(1(1(2(z0)))))))))))), 3'(1(2(3(3(2(3(2(1(1(2(z0))))))))))), 1'(2(3(3(2(3(2(1(1(2(z0)))))))))), 2'(3(3(2(3(2(1(1(2(z0))))))))), 3'(3(2(3(2(1(1(2(z0)))))))), 3'(2(3(2(1(1(2(z0))))))), 2'(3(2(1(1(2(z0)))))), 3'(2(1(1(2(z0))))), 2'(1(1(2(z0)))), 1'(1(2(z0))), 1'(2(z0)), 2'(z0))
K tuples:none
Defined Rule Symbols:   encArg_1, 0_1, 1_1, 2_1, 3_1

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

Compound Symbols:   c1_2, c2_2, c3_2, c9_18, c10_18, c11_18, c12_18, c13_18, c14_18, c15_18, c16_18, c17_18, c18_18, c19_18, c20_18, c21_18, c22_18, c23_18, c24_18, c25_18, c26_18, c27_18, c28_18, c29_18, c30_18, c31_18, c32_18, c33_18, c35_18, c36_18, c37_18, c38_18, c39_18, c40_18, c41_18, c42_18, c43_18, c44_18, c45_18, c46_18, c47_18, c48_18, c49_18, c50_18, c51_18, c52_18, c53_18, c54_18, c55_18, c57_18, c58_18, c59_18, c60_18, c61_18, c62_18, c63_18, c64_18, c65_18, c67_18, c68_18, c69_18, c70_18, c71_18, c72_18, c73_18, c74_18, c75_18, c76_18, c77_18, c78_18, c79_18, c80_18, c81_18, c82_18, c83_18, c84_18, c85_18, c86_18, c87_18, c88_18, c89_18, c90_18, c91_18, c8_1, c_2


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

(49) CdtNarrowingProof (BOTH BOUNDS(ID, ID))
Use narrowing to replace ENCARG(cons_1(z0)) -> c1(1'(encArg(z0)), ENCARG(z0)) by 
   ENCARG(cons_1(cons_0(z0))) -> c1(1'(0(encArg(z0))), ENCARG(cons_0(z0)))
   ENCARG(cons_1(cons_1(z0))) -> c1(1'(1(encArg(z0))), ENCARG(cons_1(z0)))
   ENCARG(cons_1(cons_2(z0))) -> c1(1'(2(encArg(z0))), ENCARG(cons_2(z0)))
   ENCARG(cons_1(cons_3(z0))) -> c1(1'(3(encArg(z0))), ENCARG(cons_3(z0)))

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

(50)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(cons_0(z0)) -> 0(encArg(z0))
   encArg(cons_1(z0)) -> 1(encArg(z0))
   encArg(cons_2(z0)) -> 2(encArg(z0))
   encArg(cons_3(z0)) -> 3(encArg(z0))
   0(z0) -> c_0(z0)
   0(c_2(c_3(c_3(c_2(c_1(c_3(c_0(c_1(c_3(c_1(c_3(c_3(c_0(c_2(c_1(c_0(c_1(z0)))))))))))))))))) -> 0(2(3(3(0(3(1(0(2(3(1(0(3(3(2(1(1(1(z0))))))))))))))))))
   0(c_3(c_1(c_0(c_2(c_2(c_1(c_0(c_1(c_1(c_0(c_0(c_3(c_1(c_2(c_2(c_3(c_0(z0)))))))))))))))))) -> 0(3(1(1(0(3(2(0(2(1(2(2(0(3(1(1(0(0(z0))))))))))))))))))
   0(c_1(c_0(c_3(c_2(c_2(c_3(c_2(c_0(c_1(c_1(c_1(c_1(c_0(c_1(c_0(c_1(c_1(z0)))))))))))))))))) -> 1(2(3(1(1(0(0(1(1(3(0(0(2(0(2(1(1(1(z0))))))))))))))))))
   0(c_2(c_0(c_2(c_2(c_1(c_1(c_0(c_2(c_0(c_0(c_0(c_1(c_0(c_3(c_0(c_2(c_0(z0)))))))))))))))))) -> 0(2(1(1(1(0(2(0(2(0(0(0(0(3(2(0(2(0(z0))))))))))))))))))
   0(c_0(c_2(c_0(c_0(c_0(c_1(c_1(c_0(c_2(c_2(c_3(c_3(c_0(c_0(c_3(c_0(c_2(z0)))))))))))))))))) -> 0(2(0(0(3(1(1(2(3(0(2(0(0(3(0(0(0(2(z0))))))))))))))))))
   0(c_0(c_3(c_2(c_0(c_0(c_1(c_0(c_1(c_3(c_2(c_3(c_2(c_2(c_2(c_0(c_1(c_1(z0)))))))))))))))))) -> 2(0(0(1(3(1(2(1(2(0(3(2(0(0(3(0(1(2(z0))))))))))))))))))
   0(c_2(c_2(c_2(c_2(c_2(c_1(c_3(c_1(c_0(c_1(c_2(c_3(c_2(c_0(c_1(c_1(c_2(z0)))))))))))))))))) -> 2(1(2(1(2(3(2(1(2(1(2(0(0(2(0(1(3(2(z0))))))))))))))))))
   0(c_0(c_2(c_1(c_0(c_0(c_1(c_0(c_1(c_0(c_3(c_1(c_3(c_3(c_2(c_0(c_1(c_1(z0)))))))))))))))))) -> 3(0(0(2(0(1(1(0(2(0(3(1(0(1(0(3(1(1(z0))))))))))))))))))
   0(c_0(c_0(c_1(c_3(c_2(c_2(c_3(c_0(c_2(c_2(c_0(c_1(c_0(c_0(c_0(c_1(c_2(z0)))))))))))))))))) -> 0(3(0(0(3(0(2(1(2(1(0(0(1(2(0(2(0(2(z0))))))))))))))))))
   0(c_2(c_2(c_1(c_3(c_0(c_0(c_1(c_3(c_0(c_1(c_0(c_3(c_3(c_2(c_0(c_1(c_3(z0)))))))))))))))))) -> 3(0(1(3(3(0(0(0(0(2(1(2(0(3(1(2(1(3(z0))))))))))))))))))
   0(c_2(c_3(c_1(c_3(c_3(c_1(c_3(c_2(c_3(c_2(c_2(c_1(c_0(c_1(c_1(c_1(c_1(z0)))))))))))))))))) -> 1(0(3(3(3(3(1(1(2(2(3(1(2(1(2(0(1(1(z0))))))))))))))))))
   0(c_1(c_1(c_0(c_0(c_2(c_2(c_0(c_3(c_2(c_1(c_0(c_3(c_1(c_1(c_0(c_2(c_2(z0)))))))))))))))))) -> 0(0(0(2(1(2(0(1(1(2(1(0(3(3(1(0(2(2(z0))))))))))))))))))
   0(c_1(c_0(c_1(c_0(c_3(c_0(c_1(c_3(c_1(c_3(c_0(c_1(c_0(c_1(c_3(c_2(c_1(z0)))))))))))))))))) -> 0(1(2(0(3(1(0(0(1(1(0(1(3(1(0(3(3(1(z0))))))))))))))))))
   0(c_2(c_2(c_2(c_3(c_3(c_0(c_1(c_3(c_1(c_1(c_1(c_0(c_1(c_3(c_2(c_0(c_2(z0)))))))))))))))))) -> 2(1(1(0(3(3(0(1(3(1(2(3(2(0(1(2(0(2(z0))))))))))))))))))
   0(c_0(c_1(c_3(c_2(c_1(c_0(c_1(c_2(c_2(c_1(c_1(c_1(c_1(c_2(c_3(c_2(c_2(z0)))))))))))))))))) -> 0(1(1(1(2(1(2(1(3(2(3(0(1(2(0(1(2(2(z0))))))))))))))))))
   0(c_2(c_2(c_0(c_3(c_1(c_3(c_1(c_3(c_3(c_1(c_2(c_1(c_0(c_0(c_2(c_0(c_1(z0)))))))))))))))))) -> 0(2(0(1(1(2(3(3(1(1(3(0(2(0(2(0(3(1(z0))))))))))))))))))
   0(c_2(c_3(c_1(c_3(c_2(c_3(c_1(c_1(c_0(c_2(c_3(c_2(c_1(c_0(c_0(c_1(c_2(z0)))))))))))))))))) -> 0(2(3(3(2(3(2(0(1(2(0(1(1(1(0(3(1(2(z0))))))))))))))))))
   0(c_2(c_3(c_2(c_1(c_1(c_3(c_3(c_1(c_3(c_0(c_1(c_0(c_1(c_1(c_3(c_2(c_1(z0)))))))))))))))))) -> 0(2(3(1(2(1(1(1(2(0(3(3(3(3(0(1(1(1(z0))))))))))))))))))
   0(c_0(c_1(c_1(c_3(c_2(c_3(c_2(c_3(c_2(c_0(c_0(c_2(c_3(c_2(c_3(c_1(c_0(z0)))))))))))))))))) -> 2(3(0(2(1(2(3(1(2(3(0(3(3(1(0(2(0(0(z0))))))))))))))))))
   0(c_0(c_2(c_0(c_3(c_2(c_2(c_3(c_3(c_1(c_3(c_2(c_1(c_1(c_3(c_0(c_0(c_1(z0)))))))))))))))))) -> 0(0(3(1(1(0(3(2(2(0(2(3(3(1(2(3(0(1(z0))))))))))))))))))
   0(c_3(c_1(c_0(c_0(c_3(c_0(c_0(c_1(c_0(c_3(c_2(c_1(c_3(c_0(c_0(c_1(c_2(z0)))))))))))))))))) -> 0(0(3(1(1(3(1(0(0(2(1(0(3(0(0(0(3(2(z0))))))))))))))))))
   0(c_3(c_0(c_1(c_3(c_1(c_3(c_2(c_0(c_1(c_0(c_1(c_0(c_0(c_3(c_1(c_1(c_3(z0)))))))))))))))))) -> 0(3(2(0(3(1(3(1(1(0(3(0(0(1(0(1(1(3(z0))))))))))))))))))
   0(c_0(c_3(c_3(c_1(c_3(c_3(c_0(c_1(c_3(c_2(c_3(c_3(c_3(c_0(c_3(c_3(c_3(z0)))))))))))))))))) -> 0(3(0(3(3(1(3(0(3(3(3(1(3(0(3(2(3(3(z0))))))))))))))))))
   0(c_0(c_2(c_0(c_1(c_1(c_2(c_0(c_1(c_0(c_1(c_0(c_1(c_0(c_2(c_3(c_2(c_0(z0)))))))))))))))))) -> 0(0(0(2(2(2(0(3(0(1(1(1(1(1(0(0(2(0(z0))))))))))))))))))
   0(c_0(c_3(c_1(c_0(c_0(c_2(c_2(c_0(c_0(c_0(c_2(c_2(c_3(c_2(c_2(c_2(c_0(z0)))))))))))))))))) -> 0(0(2(0(2(0(0(2(2(0(2(3(1(3(0(2(2(0(z0))))))))))))))))))
   1(z0) -> c_1(z0)
   1(c_0(c_0(c_0(c_3(c_0(c_2(c_3(c_1(c_2(c_3(c_1(c_1(c_2(c_2(c_2(c_2(c_3(z0)))))))))))))))))) -> 1(3(0(2(1(2(0(1(2(0(0(2(2(1(3(3(2(3(z0))))))))))))))))))
   1(c_3(c_1(c_3(c_2(c_2(c_0(c_0(c_0(c_0(c_1(c_3(c_2(c_0(c_1(c_3(c_3(c_0(z0)))))))))))))))))) -> 1(2(0(0(0(0(0(3(1(3(3(3(2(1(2(3(1(0(z0))))))))))))))))))
   1(c_1(c_2(c_0(c_2(c_2(c_1(c_2(c_3(c_2(c_3(c_1(c_0(c_0(c_1(c_3(c_0(c_2(z0)))))))))))))))))) -> 1(2(2(1(1(2(0(3(1(0(3(1(0(2(2(3(0(2(z0))))))))))))))))))
   1(c_0(c_3(c_2(c_3(c_2(c_2(c_0(c_3(c_2(c_2(c_1(c_1(c_0(c_3(c_2(c_3(c_3(z0)))))))))))))))))) -> 1(2(3(0(2(2(3(0(2(3(2(1(3(1(2(0(3(3(z0))))))))))))))))))
   1(c_1(c_0(c_1(c_1(c_3(c_2(c_0(c_2(c_1(c_2(c_2(c_1(c_2(c_3(c_1(c_1(c_1(z0)))))))))))))))))) -> 1(1(0(3(2(3(1(2(1(2(0(2(2(1(1(1(1(1(z0))))))))))))))))))
   1(c_3(c_2(c_3(c_0(c_3(c_3(c_3(c_1(c_3(c_3(c_1(c_3(c_3(c_3(c_2(c_2(c_0(z0)))))))))))))))))) -> 1(3(3(3(1(1(0(2(3(3(3(3(3(2(0(3(2(3(z0))))))))))))))))))
   1(c_3(c_3(c_1(c_1(c_3(c_0(c_2(c_0(c_1(c_3(c_1(c_3(c_0(c_3(c_2(c_2(c_1(z0)))))))))))))))))) -> 1(3(3(3(0(1(1(2(0(3(1(1(2(3(3(0(2(1(z0))))))))))))))))))
   1(c_0(c_0(c_0(c_1(c_3(c_2(c_2(c_2(c_2(c_2(c_3(c_1(c_3(c_1(c_1(c_1(c_1(z0)))))))))))))))))) -> 1(2(1(1(3(2(0(1(0(2(1(0(2(3(1(2(3(1(z0))))))))))))))))))
   1(c_1(c_0(c_0(c_3(c_2(c_2(c_2(c_2(c_0(c_3(c_2(c_2(c_0(c_0(c_1(c_0(c_0(z0)))))))))))))))))) -> 1(3(3(0(0(2(0(1(2(2(2(0(2(1(0(2(0(0(z0))))))))))))))))))
   1(c_0(c_1(c_0(c_1(c_3(c_0(c_2(c_3(c_0(c_1(c_3(c_3(c_2(c_1(c_0(c_1(c_3(z0)))))))))))))))))) -> 1(3(3(2(1(2(0(1(3(1(3(0(0(0(1(0(1(3(z0))))))))))))))))))
   1(c_0(c_1(c_1(c_3(c_2(c_1(c_1(c_0(c_0(c_0(c_1(c_3(c_0(c_0(c_0(c_1(c_0(z0)))))))))))))))))) -> 1(3(1(1(1(0(1(3(0(0(0(0(1(1(0(0(2(0(z0))))))))))))))))))
   1(c_0(c_2(c_3(c_0(c_1(c_0(c_2(c_0(c_1(c_0(c_3(c_1(c_2(c_2(c_2(c_3(c_1(z0)))))))))))))))))) -> 1(0(3(0(0(0(2(2(3(3(1(2(0(1(2(1(2(1(z0))))))))))))))))))
   1(c_2(c_2(c_1(c_2(c_2(c_1(c_0(c_1(c_2(c_1(c_1(c_0(c_2(c_3(c_2(c_2(c_0(z0)))))))))))))))))) -> 1(2(1(2(2(1(2(1(0(1(2(2(0(2(3(1(2(0(z0))))))))))))))))))
   1(c_1(c_1(c_0(c_1(c_1(c_3(c_2(c_3(c_0(c_0(c_3(c_3(c_3(c_2(c_2(c_2(c_1(z0)))))))))))))))))) -> 1(0(3(0(0(3(3(1(2(3(1(2(1(1(2(3(1(2(z0))))))))))))))))))
   1(c_1(c_3(c_3(c_2(c_1(c_1(c_1(c_3(c_3(c_1(c_1(c_0(c_2(c_0(c_2(c_1(c_2(z0)))))))))))))))))) -> 1(1(2(3(1(3(0(1(1(1(2(3(0(2(3(1(1(2(z0))))))))))))))))))
   1(c_0(c_3(c_0(c_2(c_0(c_3(c_0(c_1(c_1(c_2(c_3(c_0(c_1(c_3(c_2(c_0(c_3(z0)))))))))))))))))) -> 1(0(2(1(0(1(0(2(0(3(3(3(1(2(0(0(3(3(z0))))))))))))))))))
   1(c_1(c_1(c_0(c_1(c_1(c_2(c_2(c_2(c_1(c_0(c_1(c_1(c_1(c_3(c_3(c_0(c_3(z0)))))))))))))))))) -> 1(2(0(3(1(1(1(0(1(2(1(2(1(1(1(3(0(3(z0))))))))))))))))))
   1(c_0(c_1(c_3(c_2(c_0(c_2(c_1(c_3(c_3(c_2(c_1(c_3(c_2(c_2(c_0(c_1(c_2(z0)))))))))))))))))) -> 1(3(1(2(1(3(3(1(0(0(0(2(1(3(2(2(2(2(z0))))))))))))))))))
   1(c_1(c_3(c_3(c_1(c_0(c_2(c_3(c_2(c_1(c_3(c_2(c_0(c_1(c_1(c_1(c_1(c_1(z0)))))))))))))))))) -> 1(3(1(1(1(1(1(2(1(1(3(0(3(3(0(2(2(1(z0))))))))))))))))))
   1(c_3(c_0(c_1(c_3(c_2(c_2(c_2(c_2(c_1(c_0(c_0(c_1(c_2(c_2(c_0(c_0(c_1(z0)))))))))))))))))) -> 1(2(2(1(1(2(1(2(0(0(3(1(2(0(0(0(3(2(z0))))))))))))))))))
   1(c_3(c_1(c_2(c_2(c_2(c_1(c_3(c_3(c_0(c_1(c_1(c_0(c_0(c_2(c_2(c_3(c_2(z0)))))))))))))))))) -> 1(2(2(3(0(2(3(0(3(2(3(1(1(0(1(2(1(2(z0))))))))))))))))))
   2(z0) -> c_2(z0)
   2(c_0(c_2(c_2(c_3(c_2(c_0(c_2(c_0(c_1(c_1(c_3(c_1(c_3(c_3(c_3(c_2(c_0(z0)))))))))))))))))) -> 2(3(1(2(1(2(0(2(2(1(0(0(3(3(2(0(3(3(z0))))))))))))))))))
   2(c_1(c_0(c_0(c_2(c_2(c_2(c_0(c_1(c_3(c_1(c_3(c_2(c_3(c_2(c_1(c_1(c_2(z0)))))))))))))))))) -> 2(2(0(0(3(0(2(2(1(2(3(1(2(3(1(1(1(2(z0))))))))))))))))))
   2(c_0(c_2(c_0(c_0(c_1(c_1(c_1(c_3(c_1(c_1(c_3(c_2(c_3(c_1(c_3(c_2(c_3(z0)))))))))))))))))) -> 2(0(1(1(1(0(3(1(2(1(0(1(2(3(3(3(2(3(z0))))))))))))))))))
   2(c_3(c_1(c_0(c_0(c_3(c_1(c_0(c_1(c_3(c_0(c_1(c_2(c_2(c_2(c_2(c_0(c_2(z0)))))))))))))))))) -> 2(0(2(0(0(1(1(2(3(1(1(0(2(3(2(3(0(2(z0))))))))))))))))))
   2(c_1(c_3(c_3(c_2(c_1(c_2(c_3(c_1(c_3(c_3(c_1(c_2(c_1(c_2(c_2(c_0(c_3(z0)))))))))))))))))) -> 2(2(1(1(1(2(2(2(1(2(1(0(3(3(3(3(3(3(z0))))))))))))))))))
   2(c_1(c_0(c_2(c_1(c_0(c_0(c_1(c_1(c_2(c_2(c_2(c_2(c_2(c_2(c_2(c_2(c_1(z0)))))))))))))))))) -> 2(0(0(1(2(2(2(1(2(2(2(0(1(2(1(2(2(1(z0))))))))))))))))))
   2(c_3(c_0(c_1(c_0(c_0(c_3(c_1(c_0(c_3(c_2(c_3(c_2(c_2(c_2(c_3(c_3(c_2(z0)))))))))))))))))) -> 2(3(2(3(0(0(2(2(2(1(1(0(3(2(0(3(3(3(z0))))))))))))))))))
   2(c_2(c_3(c_1(c_0(c_3(c_2(c_2(c_2(c_2(c_3(c_1(c_3(c_3(c_0(c_2(c_3(c_2(z0)))))))))))))))))) -> 2(2(3(0(3(1(2(3(3(3(0(2(1(2(2(3(2(2(z0))))))))))))))))))
   2(c_1(c_1(c_3(c_2(c_0(c_0(c_0(c_2(c_1(c_0(c_2(c_2(c_3(c_2(c_3(c_2(c_0(z0)))))))))))))))))) -> 2(0(0(2(0(2(2(1(2(1(2(3(0(3(2(3(1(0(z0))))))))))))))))))
   3(z0) -> c_3(z0)
   3(c_3(c_1(c_2(c_1(c_3(c_2(c_2(c_1(c_2(c_1(c_2(c_2(c_0(c_3(c_2(c_1(c_0(z0)))))))))))))))))) -> 3(0(2(1(2(1(2(2(3(1(2(0(2(1(1(2(3(3(z0))))))))))))))))))
   3(c_3(c_0(c_2(c_0(c_1(c_3(c_1(c_0(c_2(c_2(c_2(c_2(c_0(c_3(c_3(c_1(c_0(z0)))))))))))))))))) -> 3(3(2(0(3(1(0(2(1(2(3(0(1(0(2(3(2(0(z0))))))))))))))))))
   3(c_1(c_0(c_2(c_1(c_0(c_1(c_0(c_1(c_0(c_2(c_2(c_0(c_2(c_3(c_3(c_2(c_2(z0)))))))))))))))))) -> 0(3(0(0(0(2(3(2(1(3(0(2(2(1(1(1(2(2(z0))))))))))))))))))
   3(c_0(c_1(c_0(c_2(c_3(c_2(c_0(c_1(c_0(c_1(c_2(c_3(c_1(c_2(c_0(c_1(c_2(z0)))))))))))))))))) -> 3(0(1(1(1(1(2(2(3(0(1(2(0(3(0(2(0(2(z0))))))))))))))))))
   3(c_2(c_0(c_3(c_0(c_1(c_1(c_0(c_2(c_3(c_0(c_3(c_0(c_0(c_1(c_0(c_2(c_0(z0)))))))))))))))))) -> 3(2(0(0(1(1(1(0(0(3(3(2(3(0(0(0(2(0(z0))))))))))))))))))
   3(c_2(c_2(c_0(c_2(c_3(c_0(c_1(c_0(c_3(c_1(c_3(c_3(c_1(c_3(c_1(c_2(c_3(z0)))))))))))))))))) -> 3(2(0(3(1(2(0(3(3(1(1(1(0(2(3(2(3(3(z0))))))))))))))))))
   3(c_0(c_3(c_0(c_3(c_2(c_2(c_3(c_2(c_1(c_0(c_2(c_3(c_1(c_2(c_3(c_3(c_0(z0)))))))))))))))))) -> 3(1(2(1(2(3(2(0(2(3(2(0(0(3(3(3(3(0(z0))))))))))))))))))
   3(c_1(c_1(c_0(c_1(c_0(c_3(c_1(c_1(c_2(c_1(c_3(c_0(c_3(c_3(c_1(c_0(c_3(z0)))))))))))))))))) -> 3(1(1(1(3(1(1(1(0(3(0(0(1(2(3(3(0(3(z0))))))))))))))))))
   3(c_0(c_1(c_0(c_0(c_2(c_1(c_0(c_1(c_3(c_2(c_1(c_1(c_3(c_3(c_0(c_1(c_1(z0)))))))))))))))))) -> 3(0(0(2(3(1(1(1(0(1(3(0(1(0(3(2(1(1(z0))))))))))))))))))
   3(c_2(c_3(c_2(c_2(c_2(c_0(c_2(c_3(c_0(c_1(c_2(c_3(c_0(c_1(c_1(c_0(c_2(z0)))))))))))))))))) -> 3(2(2(3(3(0(3(1(2(2(0(1(0(0(2(2(1(2(z0))))))))))))))))))
   3(c_0(c_1(c_0(c_0(c_0(c_0(c_3(c_3(c_2(c_0(c_0(c_1(c_0(c_0(c_2(c_2(c_2(z0)))))))))))))))))) -> 0(2(0(3(0(0(2(0(3(3(0(0(0(2(1(0(1(2(z0))))))))))))))))))
   3(c_0(c_0(c_1(c_3(c_1(c_0(c_2(c_3(c_3(c_1(c_3(c_3(c_3(c_3(c_2(c_1(c_0(z0)))))))))))))))))) -> 3(0(3(1(1(2(2(1(3(0(3(3(0(3(3(3(1(0(z0))))))))))))))))))
   3(c_2(c_2(c_1(c_3(c_1(c_2(c_2(c_3(c_3(c_0(c_2(c_1(c_0(c_1(c_3(c_2(c_1(z0)))))))))))))))))) -> 3(2(3(1(1(2(3(0(2(1(3(1(1(2(3(0(2(2(z0))))))))))))))))))
   3(c_2(c_2(c_2(c_2(c_2(c_1(c_0(c_0(c_1(c_3(c_2(c_3(c_1(c_3(c_3(c_2(c_1(z0)))))))))))))))))) -> 3(2(3(1(0(2(2(2(1(3(3(2(1(0(2(2(3(1(z0))))))))))))))))))
   3(c_1(c_2(c_2(c_3(c_1(c_0(c_1(c_1(c_1(c_1(c_3(c_2(c_1(c_1(c_1(c_3(c_1(z0)))))))))))))))))) -> 3(1(1(2(2(3(1(1(0(1(2(1(1(3(1(1(3(1(z0))))))))))))))))))
   3(c_3(c_1(c_3(c_3(c_2(c_1(c_3(c_2(c_3(c_3(c_2(c_3(c_1(c_3(c_2(c_3(c_1(z0)))))))))))))))))) -> 3(1(3(1(2(2(3(3(3(3(3(3(3(2(2(1(3(1(z0))))))))))))))))))
   3(c_0(c_0(c_1(c_3(c_2(c_2(c_1(c_3(c_3(c_0(c_1(c_2(c_1(c_0(c_3(c_1(c_2(z0)))))))))))))))))) -> 3(0(1(1(3(3(0(2(3(1(2(1(3(0(2(0(1(2(z0))))))))))))))))))
   3(c_2(c_1(c_0(c_1(c_0(c_1(c_3(c_0(c_1(c_2(c_3(c_0(c_0(c_1(c_3(c_0(c_1(z0)))))))))))))))))) -> 3(0(0(3(0(3(3(0(0(1(1(0(1(2(1(2(1(1(z0))))))))))))))))))
   3(c_0(c_1(c_0(c_2(c_1(c_0(c_0(c_0(c_0(c_1(c_1(c_3(c_2(c_2(c_3(c_0(c_1(z0)))))))))))))))))) -> 3(0(0(3(0(3(2(1(1(0(0(0(2(1(1(1(0(2(z0))))))))))))))))))
   3(c_3(c_2(c_2(c_3(c_0(c_1(c_3(c_3(c_3(c_0(c_0(c_0(c_2(c_0(c_2(c_3(c_0(z0)))))))))))))))))) -> 3(3(3(0(3(2(0(2(3(0(2(2(0(1(3(0(3(0(z0))))))))))))))))))
   3(c_2(c_0(c_1(c_2(c_3(c_2(c_2(c_1(c_3(c_0(c_3(c_3(c_1(c_3(c_3(c_2(c_2(z0)))))))))))))))))) -> 3(2(0(1(2(0(1(3(3(2(3(3(3(3(1(2(2(2(z0))))))))))))))))))
   3(c_1(c_0(c_3(c_2(c_1(c_0(c_3(c_0(c_2(c_3(c_2(c_3(c_0(c_1(c_3(c_3(c_2(z0)))))))))))))))))) -> 3(1(0(3(1(3(3(3(0(2(3(0(3(2(2(0(1(2(z0))))))))))))))))))
   3(c_3(c_1(c_3(c_0(c_2(c_3(c_3(c_3(c_1(c_0(c_0(c_2(c_2(c_0(c_2(c_0(c_1(z0)))))))))))))))))) -> 3(0(0(2(0(0(3(0(3(3(2(1(2(1(2(3(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_2(c_0(c_3(c_2(c_1(c_0(z0)))))))))))))))))) -> 3(3(1(0(0(2(1(1(1(2(3(1(1(2(0(0(3(0(z0))))))))))))))))))
   3(c_2(c_2(c_2(c_2(c_3(c_3(c_1(c_3(c_1(c_1(c_3(c_3(c_1(c_2(c_2(c_3(c_2(z0)))))))))))))))))) -> 3(2(3(2(3(1(2(3(1(2(3(3(2(3(2(1(1(2(z0))))))))))))))))))
Tuples:
   ENCARG(cons_2(z0)) -> c2(2'(encArg(z0)), ENCARG(z0))
   ENCARG(cons_3(z0)) -> c3(3'(encArg(z0)), ENCARG(z0))
   0'(c_2(c_3(c_3(c_2(c_1(c_3(c_0(c_1(c_3(c_1(c_3(c_3(c_0(c_2(c_1(c_0(c_1(z0)))))))))))))))))) -> c9(0'(2(3(3(0(3(1(0(2(3(1(0(3(3(2(1(1(1(z0)))))))))))))))))), 2'(3(3(0(3(1(0(2(3(1(0(3(3(2(1(1(1(z0))))))))))))))))), 3'(3(0(3(1(0(2(3(1(0(3(3(2(1(1(1(z0)))))))))))))))), 3'(0(3(1(0(2(3(1(0(3(3(2(1(1(1(z0))))))))))))))), 0'(3(1(0(2(3(1(0(3(3(2(1(1(1(z0)))))))))))))), 3'(1(0(2(3(1(0(3(3(2(1(1(1(z0))))))))))))), 1'(0(2(3(1(0(3(3(2(1(1(1(z0)))))))))))), 0'(2(3(1(0(3(3(2(1(1(1(z0))))))))))), 2'(3(1(0(3(3(2(1(1(1(z0)))))))))), 3'(1(0(3(3(2(1(1(1(z0))))))))), 1'(0(3(3(2(1(1(1(z0)))))))), 0'(3(3(2(1(1(1(z0))))))), 3'(3(2(1(1(1(z0)))))), 3'(2(1(1(1(z0))))), 2'(1(1(1(z0)))), 1'(1(1(z0))), 1'(1(z0)), 1'(z0))
   0'(c_3(c_1(c_0(c_2(c_2(c_1(c_0(c_1(c_1(c_0(c_0(c_3(c_1(c_2(c_2(c_3(c_0(z0)))))))))))))))))) -> c10(0'(3(1(1(0(3(2(0(2(1(2(2(0(3(1(1(0(0(z0)))))))))))))))))), 3'(1(1(0(3(2(0(2(1(2(2(0(3(1(1(0(0(z0))))))))))))))))), 1'(1(0(3(2(0(2(1(2(2(0(3(1(1(0(0(z0)))))))))))))))), 1'(0(3(2(0(2(1(2(2(0(3(1(1(0(0(z0))))))))))))))), 0'(3(2(0(2(1(2(2(0(3(1(1(0(0(z0)))))))))))))), 3'(2(0(2(1(2(2(0(3(1(1(0(0(z0))))))))))))), 2'(0(2(1(2(2(0(3(1(1(0(0(z0)))))))))))), 0'(2(1(2(2(0(3(1(1(0(0(z0))))))))))), 2'(1(2(2(0(3(1(1(0(0(z0)))))))))), 1'(2(2(0(3(1(1(0(0(z0))))))))), 2'(2(0(3(1(1(0(0(z0)))))))), 2'(0(3(1(1(0(0(z0))))))), 0'(3(1(1(0(0(z0)))))), 3'(1(1(0(0(z0))))), 1'(1(0(0(z0)))), 1'(0(0(z0))), 0'(0(z0)), 0'(z0))
   0'(c_1(c_0(c_3(c_2(c_2(c_3(c_2(c_0(c_1(c_1(c_1(c_1(c_0(c_1(c_0(c_1(c_1(z0)))))))))))))))))) -> c11(1'(2(3(1(1(0(0(1(1(3(0(0(2(0(2(1(1(1(z0)))))))))))))))))), 2'(3(1(1(0(0(1(1(3(0(0(2(0(2(1(1(1(z0))))))))))))))))), 3'(1(1(0(0(1(1(3(0(0(2(0(2(1(1(1(z0)))))))))))))))), 1'(1(0(0(1(1(3(0(0(2(0(2(1(1(1(z0))))))))))))))), 1'(0(0(1(1(3(0(0(2(0(2(1(1(1(z0)))))))))))))), 0'(0(1(1(3(0(0(2(0(2(1(1(1(z0))))))))))))), 0'(1(1(3(0(0(2(0(2(1(1(1(z0)))))))))))), 1'(1(3(0(0(2(0(2(1(1(1(z0))))))))))), 1'(3(0(0(2(0(2(1(1(1(z0)))))))))), 3'(0(0(2(0(2(1(1(1(z0))))))))), 0'(0(2(0(2(1(1(1(z0)))))))), 0'(2(0(2(1(1(1(z0))))))), 2'(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))
   0'(c_2(c_0(c_2(c_2(c_1(c_1(c_0(c_2(c_0(c_0(c_0(c_1(c_0(c_3(c_0(c_2(c_0(z0)))))))))))))))))) -> c12(0'(2(1(1(1(0(2(0(2(0(0(0(0(3(2(0(2(0(z0)))))))))))))))))), 2'(1(1(1(0(2(0(2(0(0(0(0(3(2(0(2(0(z0))))))))))))))))), 1'(1(1(0(2(0(2(0(0(0(0(3(2(0(2(0(z0)))))))))))))))), 1'(1(0(2(0(2(0(0(0(0(3(2(0(2(0(z0))))))))))))))), 1'(0(2(0(2(0(0(0(0(3(2(0(2(0(z0)))))))))))))), 0'(2(0(2(0(0(0(0(3(2(0(2(0(z0))))))))))))), 2'(0(2(0(0(0(0(3(2(0(2(0(z0)))))))))))), 0'(2(0(0(0(0(3(2(0(2(0(z0))))))))))), 2'(0(0(0(0(3(2(0(2(0(z0)))))))))), 0'(0(0(0(3(2(0(2(0(z0))))))))), 0'(0(0(3(2(0(2(0(z0)))))))), 0'(0(3(2(0(2(0(z0))))))), 0'(3(2(0(2(0(z0)))))), 3'(2(0(2(0(z0))))), 2'(0(2(0(z0)))), 0'(2(0(z0))), 2'(0(z0)), 0'(z0))
   0'(c_0(c_2(c_0(c_0(c_0(c_1(c_1(c_0(c_2(c_2(c_3(c_3(c_0(c_0(c_3(c_0(c_2(z0)))))))))))))))))) -> c13(0'(2(0(0(3(1(1(2(3(0(2(0(0(3(0(0(0(2(z0)))))))))))))))))), 2'(0(0(3(1(1(2(3(0(2(0(0(3(0(0(0(2(z0))))))))))))))))), 0'(0(3(1(1(2(3(0(2(0(0(3(0(0(0(2(z0)))))))))))))))), 0'(3(1(1(2(3(0(2(0(0(3(0(0(0(2(z0))))))))))))))), 3'(1(1(2(3(0(2(0(0(3(0(0(0(2(z0)))))))))))))), 1'(1(2(3(0(2(0(0(3(0(0(0(2(z0))))))))))))), 1'(2(3(0(2(0(0(3(0(0(0(2(z0)))))))))))), 2'(3(0(2(0(0(3(0(0(0(2(z0))))))))))), 3'(0(2(0(0(3(0(0(0(2(z0)))))))))), 0'(2(0(0(3(0(0(0(2(z0))))))))), 2'(0(0(3(0(0(0(2(z0)))))))), 0'(0(3(0(0(0(2(z0))))))), 0'(3(0(0(0(2(z0)))))), 3'(0(0(0(2(z0))))), 0'(0(0(2(z0)))), 0'(0(2(z0))), 0'(2(z0)), 2'(z0))
   0'(c_0(c_3(c_2(c_0(c_0(c_1(c_0(c_1(c_3(c_2(c_3(c_2(c_2(c_2(c_0(c_1(c_1(z0)))))))))))))))))) -> c14(2'(0(0(1(3(1(2(1(2(0(3(2(0(0(3(0(1(2(z0)))))))))))))))))), 0'(0(1(3(1(2(1(2(0(3(2(0(0(3(0(1(2(z0))))))))))))))))), 0'(1(3(1(2(1(2(0(3(2(0(0(3(0(1(2(z0)))))))))))))))), 1'(3(1(2(1(2(0(3(2(0(0(3(0(1(2(z0))))))))))))))), 3'(1(2(1(2(0(3(2(0(0(3(0(1(2(z0)))))))))))))), 1'(2(1(2(0(3(2(0(0(3(0(1(2(z0))))))))))))), 2'(1(2(0(3(2(0(0(3(0(1(2(z0)))))))))))), 1'(2(0(3(2(0(0(3(0(1(2(z0))))))))))), 2'(0(3(2(0(0(3(0(1(2(z0)))))))))), 0'(3(2(0(0(3(0(1(2(z0))))))))), 3'(2(0(0(3(0(1(2(z0)))))))), 2'(0(0(3(0(1(2(z0))))))), 0'(0(3(0(1(2(z0)))))), 0'(3(0(1(2(z0))))), 3'(0(1(2(z0)))), 0'(1(2(z0))), 1'(2(z0)), 2'(z0))
   0'(c_2(c_2(c_2(c_2(c_2(c_1(c_3(c_1(c_0(c_1(c_2(c_3(c_2(c_0(c_1(c_1(c_2(z0)))))))))))))))))) -> c15(2'(1(2(1(2(3(2(1(2(1(2(0(0(2(0(1(3(2(z0)))))))))))))))))), 1'(2(1(2(3(2(1(2(1(2(0(0(2(0(1(3(2(z0))))))))))))))))), 2'(1(2(3(2(1(2(1(2(0(0(2(0(1(3(2(z0)))))))))))))))), 1'(2(3(2(1(2(1(2(0(0(2(0(1(3(2(z0))))))))))))))), 2'(3(2(1(2(1(2(0(0(2(0(1(3(2(z0)))))))))))))), 3'(2(1(2(1(2(0(0(2(0(1(3(2(z0))))))))))))), 2'(1(2(1(2(0(0(2(0(1(3(2(z0)))))))))))), 1'(2(1(2(0(0(2(0(1(3(2(z0))))))))))), 2'(1(2(0(0(2(0(1(3(2(z0)))))))))), 1'(2(0(0(2(0(1(3(2(z0))))))))), 2'(0(0(2(0(1(3(2(z0)))))))), 0'(0(2(0(1(3(2(z0))))))), 0'(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))
   0'(c_0(c_2(c_1(c_0(c_0(c_1(c_0(c_1(c_0(c_3(c_1(c_3(c_3(c_2(c_0(c_1(c_1(z0)))))))))))))))))) -> c16(3'(0(0(2(0(1(1(0(2(0(3(1(0(1(0(3(1(1(z0)))))))))))))))))), 0'(0(2(0(1(1(0(2(0(3(1(0(1(0(3(1(1(z0))))))))))))))))), 0'(2(0(1(1(0(2(0(3(1(0(1(0(3(1(1(z0)))))))))))))))), 2'(0(1(1(0(2(0(3(1(0(1(0(3(1(1(z0))))))))))))))), 0'(1(1(0(2(0(3(1(0(1(0(3(1(1(z0)))))))))))))), 1'(1(0(2(0(3(1(0(1(0(3(1(1(z0))))))))))))), 1'(0(2(0(3(1(0(1(0(3(1(1(z0)))))))))))), 0'(2(0(3(1(0(1(0(3(1(1(z0))))))))))), 2'(0(3(1(0(1(0(3(1(1(z0)))))))))), 0'(3(1(0(1(0(3(1(1(z0))))))))), 3'(1(0(1(0(3(1(1(z0)))))))), 1'(0(1(0(3(1(1(z0))))))), 0'(1(0(3(1(1(z0)))))), 1'(0(3(1(1(z0))))), 0'(3(1(1(z0)))), 3'(1(1(z0))), 1'(1(z0)), 1'(z0))
   0'(c_0(c_0(c_1(c_3(c_2(c_2(c_3(c_0(c_2(c_2(c_0(c_1(c_0(c_0(c_0(c_1(c_2(z0)))))))))))))))))) -> c17(0'(3(0(0(3(0(2(1(2(1(0(0(1(2(0(2(0(2(z0)))))))))))))))))), 3'(0(0(3(0(2(1(2(1(0(0(1(2(0(2(0(2(z0))))))))))))))))), 0'(0(3(0(2(1(2(1(0(0(1(2(0(2(0(2(z0)))))))))))))))), 0'(3(0(2(1(2(1(0(0(1(2(0(2(0(2(z0))))))))))))))), 3'(0(2(1(2(1(0(0(1(2(0(2(0(2(z0)))))))))))))), 0'(2(1(2(1(0(0(1(2(0(2(0(2(z0))))))))))))), 2'(1(2(1(0(0(1(2(0(2(0(2(z0)))))))))))), 1'(2(1(0(0(1(2(0(2(0(2(z0))))))))))), 2'(1(0(0(1(2(0(2(0(2(z0)))))))))), 1'(0(0(1(2(0(2(0(2(z0))))))))), 0'(0(1(2(0(2(0(2(z0)))))))), 0'(1(2(0(2(0(2(z0))))))), 1'(2(0(2(0(2(z0)))))), 2'(0(2(0(2(z0))))), 0'(2(0(2(z0)))), 2'(0(2(z0))), 0'(2(z0)), 2'(z0))
   0'(c_2(c_2(c_1(c_3(c_0(c_0(c_1(c_3(c_0(c_1(c_0(c_3(c_3(c_2(c_0(c_1(c_3(z0)))))))))))))))))) -> c18(3'(0(1(3(3(0(0(0(0(2(1(2(0(3(1(2(1(3(z0)))))))))))))))))), 0'(1(3(3(0(0(0(0(2(1(2(0(3(1(2(1(3(z0))))))))))))))))), 1'(3(3(0(0(0(0(2(1(2(0(3(1(2(1(3(z0)))))))))))))))), 3'(3(0(0(0(0(2(1(2(0(3(1(2(1(3(z0))))))))))))))), 3'(0(0(0(0(2(1(2(0(3(1(2(1(3(z0)))))))))))))), 0'(0(0(0(2(1(2(0(3(1(2(1(3(z0))))))))))))), 0'(0(0(2(1(2(0(3(1(2(1(3(z0)))))))))))), 0'(0(2(1(2(0(3(1(2(1(3(z0))))))))))), 0'(2(1(2(0(3(1(2(1(3(z0)))))))))), 2'(1(2(0(3(1(2(1(3(z0))))))))), 1'(2(0(3(1(2(1(3(z0)))))))), 2'(0(3(1(2(1(3(z0))))))), 0'(3(1(2(1(3(z0)))))), 3'(1(2(1(3(z0))))), 1'(2(1(3(z0)))), 2'(1(3(z0))), 1'(3(z0)), 3'(z0))
   0'(c_2(c_3(c_1(c_3(c_3(c_1(c_3(c_2(c_3(c_2(c_2(c_1(c_0(c_1(c_1(c_1(c_1(z0)))))))))))))))))) -> c19(1'(0(3(3(3(3(1(1(2(2(3(1(2(1(2(0(1(1(z0)))))))))))))))))), 0'(3(3(3(3(1(1(2(2(3(1(2(1(2(0(1(1(z0))))))))))))))))), 3'(3(3(3(1(1(2(2(3(1(2(1(2(0(1(1(z0)))))))))))))))), 3'(3(3(1(1(2(2(3(1(2(1(2(0(1(1(z0))))))))))))))), 3'(3(1(1(2(2(3(1(2(1(2(0(1(1(z0)))))))))))))), 3'(1(1(2(2(3(1(2(1(2(0(1(1(z0))))))))))))), 1'(1(2(2(3(1(2(1(2(0(1(1(z0)))))))))))), 1'(2(2(3(1(2(1(2(0(1(1(z0))))))))))), 2'(2(3(1(2(1(2(0(1(1(z0)))))))))), 2'(3(1(2(1(2(0(1(1(z0))))))))), 3'(1(2(1(2(0(1(1(z0)))))))), 1'(2(1(2(0(1(1(z0))))))), 2'(1(2(0(1(1(z0)))))), 1'(2(0(1(1(z0))))), 2'(0(1(1(z0)))), 0'(1(1(z0))), 1'(1(z0)), 1'(z0))
   0'(c_1(c_1(c_0(c_0(c_2(c_2(c_0(c_3(c_2(c_1(c_0(c_3(c_1(c_1(c_0(c_2(c_2(z0)))))))))))))))))) -> c20(0'(0(0(2(1(2(0(1(1(2(1(0(3(3(1(0(2(2(z0)))))))))))))))))), 0'(0(2(1(2(0(1(1(2(1(0(3(3(1(0(2(2(z0))))))))))))))))), 0'(2(1(2(0(1(1(2(1(0(3(3(1(0(2(2(z0)))))))))))))))), 2'(1(2(0(1(1(2(1(0(3(3(1(0(2(2(z0))))))))))))))), 1'(2(0(1(1(2(1(0(3(3(1(0(2(2(z0)))))))))))))), 2'(0(1(1(2(1(0(3(3(1(0(2(2(z0))))))))))))), 0'(1(1(2(1(0(3(3(1(0(2(2(z0)))))))))))), 1'(1(2(1(0(3(3(1(0(2(2(z0))))))))))), 1'(2(1(0(3(3(1(0(2(2(z0)))))))))), 2'(1(0(3(3(1(0(2(2(z0))))))))), 1'(0(3(3(1(0(2(2(z0)))))))), 0'(3(3(1(0(2(2(z0))))))), 3'(3(1(0(2(2(z0)))))), 3'(1(0(2(2(z0))))), 1'(0(2(2(z0)))), 0'(2(2(z0))), 2'(2(z0)), 2'(z0))
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   3'(c_3(c_1(c_3(c_0(c_2(c_3(c_3(c_3(c_1(c_0(c_0(c_2(c_2(c_0(c_2(c_0(c_1(z0)))))))))))))))))) -> c89(3'(0(0(2(0(0(3(0(3(3(2(1(2(1(2(3(3(1(z0)))))))))))))))))), 0'(0(2(0(0(3(0(3(3(2(1(2(1(2(3(3(1(z0))))))))))))))))), 0'(2(0(0(3(0(3(3(2(1(2(1(2(3(3(1(z0)))))))))))))))), 2'(0(0(3(0(3(3(2(1(2(1(2(3(3(1(z0))))))))))))))), 0'(0(3(0(3(3(2(1(2(1(2(3(3(1(z0)))))))))))))), 0'(3(0(3(3(2(1(2(1(2(3(3(1(z0))))))))))))), 3'(0(3(3(2(1(2(1(2(3(3(1(z0)))))))))))), 0'(3(3(2(1(2(1(2(3(3(1(z0))))))))))), 3'(3(2(1(2(1(2(3(3(1(z0)))))))))), 3'(2(1(2(1(2(3(3(1(z0))))))))), 2'(1(2(1(2(3(3(1(z0)))))))), 1'(2(1(2(3(3(1(z0))))))), 2'(1(2(3(3(1(z0)))))), 1'(2(3(3(1(z0))))), 2'(3(3(1(z0)))), 3'(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_2(c_0(c_3(c_2(c_1(c_0(z0)))))))))))))))))) -> c90(3'(3(1(0(0(2(1(1(1(2(3(1(1(2(0(0(3(0(z0)))))))))))))))))), 3'(1(0(0(2(1(1(1(2(3(1(1(2(0(0(3(0(z0))))))))))))))))), 1'(0(0(2(1(1(1(2(3(1(1(2(0(0(3(0(z0)))))))))))))))), 0'(0(2(1(1(1(2(3(1(1(2(0(0(3(0(z0))))))))))))))), 0'(2(1(1(1(2(3(1(1(2(0(0(3(0(z0)))))))))))))), 2'(1(1(1(2(3(1(1(2(0(0(3(0(z0))))))))))))), 1'(1(1(2(3(1(1(2(0(0(3(0(z0)))))))))))), 1'(1(2(3(1(1(2(0(0(3(0(z0))))))))))), 1'(2(3(1(1(2(0(0(3(0(z0)))))))))), 2'(3(1(1(2(0(0(3(0(z0))))))))), 3'(1(1(2(0(0(3(0(z0)))))))), 1'(1(2(0(0(3(0(z0))))))), 1'(2(0(0(3(0(z0)))))), 2'(0(0(3(0(z0))))), 0'(0(3(0(z0)))), 0'(3(0(z0))), 3'(0(z0)), 0'(z0))
   3'(c_2(c_2(c_2(c_2(c_3(c_3(c_1(c_3(c_1(c_1(c_3(c_3(c_1(c_2(c_2(c_3(c_2(z0)))))))))))))))))) -> c91(3'(2(3(2(3(1(2(3(1(2(3(3(2(3(2(1(1(2(z0)))))))))))))))))), 2'(3(2(3(1(2(3(1(2(3(3(2(3(2(1(1(2(z0))))))))))))))))), 3'(2(3(1(2(3(1(2(3(3(2(3(2(1(1(2(z0)))))))))))))))), 2'(3(1(2(3(1(2(3(3(2(3(2(1(1(2(z0))))))))))))))), 3'(1(2(3(1(2(3(3(2(3(2(1(1(2(z0)))))))))))))), 1'(2(3(1(2(3(3(2(3(2(1(1(2(z0))))))))))))), 2'(3(1(2(3(3(2(3(2(1(1(2(z0)))))))))))), 3'(1(2(3(3(2(3(2(1(1(2(z0))))))))))), 1'(2(3(3(2(3(2(1(1(2(z0)))))))))), 2'(3(3(2(3(2(1(1(2(z0))))))))), 3'(3(2(3(2(1(1(2(z0)))))))), 3'(2(3(2(1(1(2(z0))))))), 2'(3(2(1(1(2(z0)))))), 3'(2(1(1(2(z0))))), 2'(1(1(2(z0)))), 1'(1(2(z0))), 1'(2(z0)), 2'(z0))
   ENCODE_0(z0) -> c8(0'(encArg(z0)))
   ENCODE_1(z0) -> c8(1'(encArg(z0)))
   ENCODE_3(z0) -> c8(3'(encArg(z0)))
   ENCODE_2(z0) -> c8(2'(encArg(z0)))
   ENCARG(cons_0(cons_0(z0))) -> c(0'(0(encArg(z0))), ENCARG(cons_0(z0)))
   ENCARG(cons_0(cons_1(z0))) -> c(0'(1(encArg(z0))), ENCARG(cons_1(z0)))
   ENCARG(cons_0(cons_2(z0))) -> c(0'(2(encArg(z0))), ENCARG(cons_2(z0)))
   ENCARG(cons_0(cons_3(z0))) -> c(0'(3(encArg(z0))), ENCARG(cons_3(z0)))
   ENCARG(cons_1(cons_0(z0))) -> c1(1'(0(encArg(z0))), ENCARG(cons_0(z0)))
   ENCARG(cons_1(cons_1(z0))) -> c1(1'(1(encArg(z0))), ENCARG(cons_1(z0)))
   ENCARG(cons_1(cons_2(z0))) -> c1(1'(2(encArg(z0))), ENCARG(cons_2(z0)))
   ENCARG(cons_1(cons_3(z0))) -> c1(1'(3(encArg(z0))), ENCARG(cons_3(z0)))
S tuples:
   0'(c_2(c_3(c_3(c_2(c_1(c_3(c_0(c_1(c_3(c_1(c_3(c_3(c_0(c_2(c_1(c_0(c_1(z0)))))))))))))))))) -> c9(0'(2(3(3(0(3(1(0(2(3(1(0(3(3(2(1(1(1(z0)))))))))))))))))), 2'(3(3(0(3(1(0(2(3(1(0(3(3(2(1(1(1(z0))))))))))))))))), 3'(3(0(3(1(0(2(3(1(0(3(3(2(1(1(1(z0)))))))))))))))), 3'(0(3(1(0(2(3(1(0(3(3(2(1(1(1(z0))))))))))))))), 0'(3(1(0(2(3(1(0(3(3(2(1(1(1(z0)))))))))))))), 3'(1(0(2(3(1(0(3(3(2(1(1(1(z0))))))))))))), 1'(0(2(3(1(0(3(3(2(1(1(1(z0)))))))))))), 0'(2(3(1(0(3(3(2(1(1(1(z0))))))))))), 2'(3(1(0(3(3(2(1(1(1(z0)))))))))), 3'(1(0(3(3(2(1(1(1(z0))))))))), 1'(0(3(3(2(1(1(1(z0)))))))), 0'(3(3(2(1(1(1(z0))))))), 3'(3(2(1(1(1(z0)))))), 3'(2(1(1(1(z0))))), 2'(1(1(1(z0)))), 1'(1(1(z0))), 1'(1(z0)), 1'(z0))
   0'(c_3(c_1(c_0(c_2(c_2(c_1(c_0(c_1(c_1(c_0(c_0(c_3(c_1(c_2(c_2(c_3(c_0(z0)))))))))))))))))) -> c10(0'(3(1(1(0(3(2(0(2(1(2(2(0(3(1(1(0(0(z0)))))))))))))))))), 3'(1(1(0(3(2(0(2(1(2(2(0(3(1(1(0(0(z0))))))))))))))))), 1'(1(0(3(2(0(2(1(2(2(0(3(1(1(0(0(z0)))))))))))))))), 1'(0(3(2(0(2(1(2(2(0(3(1(1(0(0(z0))))))))))))))), 0'(3(2(0(2(1(2(2(0(3(1(1(0(0(z0)))))))))))))), 3'(2(0(2(1(2(2(0(3(1(1(0(0(z0))))))))))))), 2'(0(2(1(2(2(0(3(1(1(0(0(z0)))))))))))), 0'(2(1(2(2(0(3(1(1(0(0(z0))))))))))), 2'(1(2(2(0(3(1(1(0(0(z0)))))))))), 1'(2(2(0(3(1(1(0(0(z0))))))))), 2'(2(0(3(1(1(0(0(z0)))))))), 2'(0(3(1(1(0(0(z0))))))), 0'(3(1(1(0(0(z0)))))), 3'(1(1(0(0(z0))))), 1'(1(0(0(z0)))), 1'(0(0(z0))), 0'(0(z0)), 0'(z0))
   0'(c_1(c_0(c_3(c_2(c_2(c_3(c_2(c_0(c_1(c_1(c_1(c_1(c_0(c_1(c_0(c_1(c_1(z0)))))))))))))))))) -> c11(1'(2(3(1(1(0(0(1(1(3(0(0(2(0(2(1(1(1(z0)))))))))))))))))), 2'(3(1(1(0(0(1(1(3(0(0(2(0(2(1(1(1(z0))))))))))))))))), 3'(1(1(0(0(1(1(3(0(0(2(0(2(1(1(1(z0)))))))))))))))), 1'(1(0(0(1(1(3(0(0(2(0(2(1(1(1(z0))))))))))))))), 1'(0(0(1(1(3(0(0(2(0(2(1(1(1(z0)))))))))))))), 0'(0(1(1(3(0(0(2(0(2(1(1(1(z0))))))))))))), 0'(1(1(3(0(0(2(0(2(1(1(1(z0)))))))))))), 1'(1(3(0(0(2(0(2(1(1(1(z0))))))))))), 1'(3(0(0(2(0(2(1(1(1(z0)))))))))), 3'(0(0(2(0(2(1(1(1(z0))))))))), 0'(0(2(0(2(1(1(1(z0)))))))), 0'(2(0(2(1(1(1(z0))))))), 2'(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))
   0'(c_2(c_0(c_2(c_2(c_1(c_1(c_0(c_2(c_0(c_0(c_0(c_1(c_0(c_3(c_0(c_2(c_0(z0)))))))))))))))))) -> c12(0'(2(1(1(1(0(2(0(2(0(0(0(0(3(2(0(2(0(z0)))))))))))))))))), 2'(1(1(1(0(2(0(2(0(0(0(0(3(2(0(2(0(z0))))))))))))))))), 1'(1(1(0(2(0(2(0(0(0(0(3(2(0(2(0(z0)))))))))))))))), 1'(1(0(2(0(2(0(0(0(0(3(2(0(2(0(z0))))))))))))))), 1'(0(2(0(2(0(0(0(0(3(2(0(2(0(z0)))))))))))))), 0'(2(0(2(0(0(0(0(3(2(0(2(0(z0))))))))))))), 2'(0(2(0(0(0(0(3(2(0(2(0(z0)))))))))))), 0'(2(0(0(0(0(3(2(0(2(0(z0))))))))))), 2'(0(0(0(0(3(2(0(2(0(z0)))))))))), 0'(0(0(0(3(2(0(2(0(z0))))))))), 0'(0(0(3(2(0(2(0(z0)))))))), 0'(0(3(2(0(2(0(z0))))))), 0'(3(2(0(2(0(z0)))))), 3'(2(0(2(0(z0))))), 2'(0(2(0(z0)))), 0'(2(0(z0))), 2'(0(z0)), 0'(z0))
   0'(c_0(c_2(c_0(c_0(c_0(c_1(c_1(c_0(c_2(c_2(c_3(c_3(c_0(c_0(c_3(c_0(c_2(z0)))))))))))))))))) -> c13(0'(2(0(0(3(1(1(2(3(0(2(0(0(3(0(0(0(2(z0)))))))))))))))))), 2'(0(0(3(1(1(2(3(0(2(0(0(3(0(0(0(2(z0))))))))))))))))), 0'(0(3(1(1(2(3(0(2(0(0(3(0(0(0(2(z0)))))))))))))))), 0'(3(1(1(2(3(0(2(0(0(3(0(0(0(2(z0))))))))))))))), 3'(1(1(2(3(0(2(0(0(3(0(0(0(2(z0)))))))))))))), 1'(1(2(3(0(2(0(0(3(0(0(0(2(z0))))))))))))), 1'(2(3(0(2(0(0(3(0(0(0(2(z0)))))))))))), 2'(3(0(2(0(0(3(0(0(0(2(z0))))))))))), 3'(0(2(0(0(3(0(0(0(2(z0)))))))))), 0'(2(0(0(3(0(0(0(2(z0))))))))), 2'(0(0(3(0(0(0(2(z0)))))))), 0'(0(3(0(0(0(2(z0))))))), 0'(3(0(0(0(2(z0)))))), 3'(0(0(0(2(z0))))), 0'(0(0(2(z0)))), 0'(0(2(z0))), 0'(2(z0)), 2'(z0))
   0'(c_0(c_3(c_2(c_0(c_0(c_1(c_0(c_1(c_3(c_2(c_3(c_2(c_2(c_2(c_0(c_1(c_1(z0)))))))))))))))))) -> c14(2'(0(0(1(3(1(2(1(2(0(3(2(0(0(3(0(1(2(z0)))))))))))))))))), 0'(0(1(3(1(2(1(2(0(3(2(0(0(3(0(1(2(z0))))))))))))))))), 0'(1(3(1(2(1(2(0(3(2(0(0(3(0(1(2(z0)))))))))))))))), 1'(3(1(2(1(2(0(3(2(0(0(3(0(1(2(z0))))))))))))))), 3'(1(2(1(2(0(3(2(0(0(3(0(1(2(z0)))))))))))))), 1'(2(1(2(0(3(2(0(0(3(0(1(2(z0))))))))))))), 2'(1(2(0(3(2(0(0(3(0(1(2(z0)))))))))))), 1'(2(0(3(2(0(0(3(0(1(2(z0))))))))))), 2'(0(3(2(0(0(3(0(1(2(z0)))))))))), 0'(3(2(0(0(3(0(1(2(z0))))))))), 3'(2(0(0(3(0(1(2(z0)))))))), 2'(0(0(3(0(1(2(z0))))))), 0'(0(3(0(1(2(z0)))))), 0'(3(0(1(2(z0))))), 3'(0(1(2(z0)))), 0'(1(2(z0))), 1'(2(z0)), 2'(z0))
   0'(c_2(c_2(c_2(c_2(c_2(c_1(c_3(c_1(c_0(c_1(c_2(c_3(c_2(c_0(c_1(c_1(c_2(z0)))))))))))))))))) -> c15(2'(1(2(1(2(3(2(1(2(1(2(0(0(2(0(1(3(2(z0)))))))))))))))))), 1'(2(1(2(3(2(1(2(1(2(0(0(2(0(1(3(2(z0))))))))))))))))), 2'(1(2(3(2(1(2(1(2(0(0(2(0(1(3(2(z0)))))))))))))))), 1'(2(3(2(1(2(1(2(0(0(2(0(1(3(2(z0))))))))))))))), 2'(3(2(1(2(1(2(0(0(2(0(1(3(2(z0)))))))))))))), 3'(2(1(2(1(2(0(0(2(0(1(3(2(z0))))))))))))), 2'(1(2(1(2(0(0(2(0(1(3(2(z0)))))))))))), 1'(2(1(2(0(0(2(0(1(3(2(z0))))))))))), 2'(1(2(0(0(2(0(1(3(2(z0)))))))))), 1'(2(0(0(2(0(1(3(2(z0))))))))), 2'(0(0(2(0(1(3(2(z0)))))))), 0'(0(2(0(1(3(2(z0))))))), 0'(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))
   0'(c_0(c_2(c_1(c_0(c_0(c_1(c_0(c_1(c_0(c_3(c_1(c_3(c_3(c_2(c_0(c_1(c_1(z0)))))))))))))))))) -> c16(3'(0(0(2(0(1(1(0(2(0(3(1(0(1(0(3(1(1(z0)))))))))))))))))), 0'(0(2(0(1(1(0(2(0(3(1(0(1(0(3(1(1(z0))))))))))))))))), 0'(2(0(1(1(0(2(0(3(1(0(1(0(3(1(1(z0)))))))))))))))), 2'(0(1(1(0(2(0(3(1(0(1(0(3(1(1(z0))))))))))))))), 0'(1(1(0(2(0(3(1(0(1(0(3(1(1(z0)))))))))))))), 1'(1(0(2(0(3(1(0(1(0(3(1(1(z0))))))))))))), 1'(0(2(0(3(1(0(1(0(3(1(1(z0)))))))))))), 0'(2(0(3(1(0(1(0(3(1(1(z0))))))))))), 2'(0(3(1(0(1(0(3(1(1(z0)))))))))), 0'(3(1(0(1(0(3(1(1(z0))))))))), 3'(1(0(1(0(3(1(1(z0)))))))), 1'(0(1(0(3(1(1(z0))))))), 0'(1(0(3(1(1(z0)))))), 1'(0(3(1(1(z0))))), 0'(3(1(1(z0)))), 3'(1(1(z0))), 1'(1(z0)), 1'(z0))
   0'(c_0(c_0(c_1(c_3(c_2(c_2(c_3(c_0(c_2(c_2(c_0(c_1(c_0(c_0(c_0(c_1(c_2(z0)))))))))))))))))) -> c17(0'(3(0(0(3(0(2(1(2(1(0(0(1(2(0(2(0(2(z0)))))))))))))))))), 3'(0(0(3(0(2(1(2(1(0(0(1(2(0(2(0(2(z0))))))))))))))))), 0'(0(3(0(2(1(2(1(0(0(1(2(0(2(0(2(z0)))))))))))))))), 0'(3(0(2(1(2(1(0(0(1(2(0(2(0(2(z0))))))))))))))), 3'(0(2(1(2(1(0(0(1(2(0(2(0(2(z0)))))))))))))), 0'(2(1(2(1(0(0(1(2(0(2(0(2(z0))))))))))))), 2'(1(2(1(0(0(1(2(0(2(0(2(z0)))))))))))), 1'(2(1(0(0(1(2(0(2(0(2(z0))))))))))), 2'(1(0(0(1(2(0(2(0(2(z0)))))))))), 1'(0(0(1(2(0(2(0(2(z0))))))))), 0'(0(1(2(0(2(0(2(z0)))))))), 0'(1(2(0(2(0(2(z0))))))), 1'(2(0(2(0(2(z0)))))), 2'(0(2(0(2(z0))))), 0'(2(0(2(z0)))), 2'(0(2(z0))), 0'(2(z0)), 2'(z0))
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   3'(c_3(c_2(c_2(c_3(c_0(c_1(c_3(c_3(c_3(c_0(c_0(c_0(c_2(c_0(c_2(c_3(c_0(z0)))))))))))))))))) -> c86(3'(3(3(0(3(2(0(2(3(0(2(2(0(1(3(0(3(0(z0)))))))))))))))))), 3'(3(0(3(2(0(2(3(0(2(2(0(1(3(0(3(0(z0))))))))))))))))), 3'(0(3(2(0(2(3(0(2(2(0(1(3(0(3(0(z0)))))))))))))))), 0'(3(2(0(2(3(0(2(2(0(1(3(0(3(0(z0))))))))))))))), 3'(2(0(2(3(0(2(2(0(1(3(0(3(0(z0)))))))))))))), 2'(0(2(3(0(2(2(0(1(3(0(3(0(z0))))))))))))), 0'(2(3(0(2(2(0(1(3(0(3(0(z0)))))))))))), 2'(3(0(2(2(0(1(3(0(3(0(z0))))))))))), 3'(0(2(2(0(1(3(0(3(0(z0)))))))))), 0'(2(2(0(1(3(0(3(0(z0))))))))), 2'(2(0(1(3(0(3(0(z0)))))))), 2'(0(1(3(0(3(0(z0))))))), 0'(1(3(0(3(0(z0)))))), 1'(3(0(3(0(z0))))), 3'(0(3(0(z0)))), 0'(3(0(z0))), 3'(0(z0)), 0'(z0))
   3'(c_2(c_0(c_1(c_2(c_3(c_2(c_2(c_1(c_3(c_0(c_3(c_3(c_1(c_3(c_3(c_2(c_2(z0)))))))))))))))))) -> c87(3'(2(0(1(2(0(1(3(3(2(3(3(3(3(1(2(2(2(z0)))))))))))))))))), 2'(0(1(2(0(1(3(3(2(3(3(3(3(1(2(2(2(z0))))))))))))))))), 0'(1(2(0(1(3(3(2(3(3(3(3(1(2(2(2(z0)))))))))))))))), 1'(2(0(1(3(3(2(3(3(3(3(1(2(2(2(z0))))))))))))))), 2'(0(1(3(3(2(3(3(3(3(1(2(2(2(z0)))))))))))))), 0'(1(3(3(2(3(3(3(3(1(2(2(2(z0))))))))))))), 1'(3(3(2(3(3(3(3(1(2(2(2(z0)))))))))))), 3'(3(2(3(3(3(3(1(2(2(2(z0))))))))))), 3'(2(3(3(3(3(1(2(2(2(z0)))))))))), 2'(3(3(3(3(1(2(2(2(z0))))))))), 3'(3(3(3(1(2(2(2(z0)))))))), 3'(3(3(1(2(2(2(z0))))))), 3'(3(1(2(2(2(z0)))))), 3'(1(2(2(2(z0))))), 1'(2(2(2(z0)))), 2'(2(2(z0))), 2'(2(z0)), 2'(z0))
   3'(c_1(c_0(c_3(c_2(c_1(c_0(c_3(c_0(c_2(c_3(c_2(c_3(c_0(c_1(c_3(c_3(c_2(z0)))))))))))))))))) -> c88(3'(1(0(3(1(3(3(3(0(2(3(0(3(2(2(0(1(2(z0)))))))))))))))))), 1'(0(3(1(3(3(3(0(2(3(0(3(2(2(0(1(2(z0))))))))))))))))), 0'(3(1(3(3(3(0(2(3(0(3(2(2(0(1(2(z0)))))))))))))))), 3'(1(3(3(3(0(2(3(0(3(2(2(0(1(2(z0))))))))))))))), 1'(3(3(3(0(2(3(0(3(2(2(0(1(2(z0)))))))))))))), 3'(3(3(0(2(3(0(3(2(2(0(1(2(z0))))))))))))), 3'(3(0(2(3(0(3(2(2(0(1(2(z0)))))))))))), 3'(0(2(3(0(3(2(2(0(1(2(z0))))))))))), 0'(2(3(0(3(2(2(0(1(2(z0)))))))))), 2'(3(0(3(2(2(0(1(2(z0))))))))), 3'(0(3(2(2(0(1(2(z0)))))))), 0'(3(2(2(0(1(2(z0))))))), 3'(2(2(0(1(2(z0)))))), 2'(2(0(1(2(z0))))), 2'(0(1(2(z0)))), 0'(1(2(z0))), 1'(2(z0)), 2'(z0))
   3'(c_3(c_1(c_3(c_0(c_2(c_3(c_3(c_3(c_1(c_0(c_0(c_2(c_2(c_0(c_2(c_0(c_1(z0)))))))))))))))))) -> c89(3'(0(0(2(0(0(3(0(3(3(2(1(2(1(2(3(3(1(z0)))))))))))))))))), 0'(0(2(0(0(3(0(3(3(2(1(2(1(2(3(3(1(z0))))))))))))))))), 0'(2(0(0(3(0(3(3(2(1(2(1(2(3(3(1(z0)))))))))))))))), 2'(0(0(3(0(3(3(2(1(2(1(2(3(3(1(z0))))))))))))))), 0'(0(3(0(3(3(2(1(2(1(2(3(3(1(z0)))))))))))))), 0'(3(0(3(3(2(1(2(1(2(3(3(1(z0))))))))))))), 3'(0(3(3(2(1(2(1(2(3(3(1(z0)))))))))))), 0'(3(3(2(1(2(1(2(3(3(1(z0))))))))))), 3'(3(2(1(2(1(2(3(3(1(z0)))))))))), 3'(2(1(2(1(2(3(3(1(z0))))))))), 2'(1(2(1(2(3(3(1(z0)))))))), 1'(2(1(2(3(3(1(z0))))))), 2'(1(2(3(3(1(z0)))))), 1'(2(3(3(1(z0))))), 2'(3(3(1(z0)))), 3'(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_2(c_0(c_3(c_2(c_1(c_0(z0)))))))))))))))))) -> c90(3'(3(1(0(0(2(1(1(1(2(3(1(1(2(0(0(3(0(z0)))))))))))))))))), 3'(1(0(0(2(1(1(1(2(3(1(1(2(0(0(3(0(z0))))))))))))))))), 1'(0(0(2(1(1(1(2(3(1(1(2(0(0(3(0(z0)))))))))))))))), 0'(0(2(1(1(1(2(3(1(1(2(0(0(3(0(z0))))))))))))))), 0'(2(1(1(1(2(3(1(1(2(0(0(3(0(z0)))))))))))))), 2'(1(1(1(2(3(1(1(2(0(0(3(0(z0))))))))))))), 1'(1(1(2(3(1(1(2(0(0(3(0(z0)))))))))))), 1'(1(2(3(1(1(2(0(0(3(0(z0))))))))))), 1'(2(3(1(1(2(0(0(3(0(z0)))))))))), 2'(3(1(1(2(0(0(3(0(z0))))))))), 3'(1(1(2(0(0(3(0(z0)))))))), 1'(1(2(0(0(3(0(z0))))))), 1'(2(0(0(3(0(z0)))))), 2'(0(0(3(0(z0))))), 0'(0(3(0(z0)))), 0'(3(0(z0))), 3'(0(z0)), 0'(z0))
   3'(c_2(c_2(c_2(c_2(c_3(c_3(c_1(c_3(c_1(c_1(c_3(c_3(c_1(c_2(c_2(c_3(c_2(z0)))))))))))))))))) -> c91(3'(2(3(2(3(1(2(3(1(2(3(3(2(3(2(1(1(2(z0)))))))))))))))))), 2'(3(2(3(1(2(3(1(2(3(3(2(3(2(1(1(2(z0))))))))))))))))), 3'(2(3(1(2(3(1(2(3(3(2(3(2(1(1(2(z0)))))))))))))))), 2'(3(1(2(3(1(2(3(3(2(3(2(1(1(2(z0))))))))))))))), 3'(1(2(3(1(2(3(3(2(3(2(1(1(2(z0)))))))))))))), 1'(2(3(1(2(3(3(2(3(2(1(1(2(z0))))))))))))), 2'(3(1(2(3(3(2(3(2(1(1(2(z0)))))))))))), 3'(1(2(3(3(2(3(2(1(1(2(z0))))))))))), 1'(2(3(3(2(3(2(1(1(2(z0)))))))))), 2'(3(3(2(3(2(1(1(2(z0))))))))), 3'(3(2(3(2(1(1(2(z0)))))))), 3'(2(3(2(1(1(2(z0))))))), 2'(3(2(1(1(2(z0)))))), 3'(2(1(1(2(z0))))), 2'(1(1(2(z0)))), 1'(1(2(z0))), 1'(2(z0)), 2'(z0))
K tuples:none
Defined Rule Symbols:   encArg_1, 0_1, 1_1, 2_1, 3_1

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

Compound Symbols:   c2_2, c3_2, c9_18, c10_18, c11_18, c12_18, c13_18, c14_18, c15_18, c16_18, c17_18, c18_18, c19_18, c20_18, c21_18, c22_18, c23_18, c24_18, c25_18, c26_18, c27_18, c28_18, c29_18, c30_18, c31_18, c32_18, c33_18, c35_18, c36_18, c37_18, c38_18, c39_18, c40_18, c41_18, c42_18, c43_18, c44_18, c45_18, c46_18, c47_18, c48_18, c49_18, c50_18, c51_18, c52_18, c53_18, c54_18, c55_18, c57_18, c58_18, c59_18, c60_18, c61_18, c62_18, c63_18, c64_18, c65_18, c67_18, c68_18, c69_18, c70_18, c71_18, c72_18, c73_18, c74_18, c75_18, c76_18, c77_18, c78_18, c79_18, c80_18, c81_18, c82_18, c83_18, c84_18, c85_18, c86_18, c87_18, c88_18, c89_18, c90_18, c91_18, c8_1, c_2, c1_2


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

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

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

(52)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(cons_0(z0)) -> 0(encArg(z0))
   encArg(cons_1(z0)) -> 1(encArg(z0))
   encArg(cons_2(z0)) -> 2(encArg(z0))
   encArg(cons_3(z0)) -> 3(encArg(z0))
   0(z0) -> c_0(z0)
   0(c_2(c_3(c_3(c_2(c_1(c_3(c_0(c_1(c_3(c_1(c_3(c_3(c_0(c_2(c_1(c_0(c_1(z0)))))))))))))))))) -> 0(2(3(3(0(3(1(0(2(3(1(0(3(3(2(1(1(1(z0))))))))))))))))))
   0(c_3(c_1(c_0(c_2(c_2(c_1(c_0(c_1(c_1(c_0(c_0(c_3(c_1(c_2(c_2(c_3(c_0(z0)))))))))))))))))) -> 0(3(1(1(0(3(2(0(2(1(2(2(0(3(1(1(0(0(z0))))))))))))))))))
   0(c_1(c_0(c_3(c_2(c_2(c_3(c_2(c_0(c_1(c_1(c_1(c_1(c_0(c_1(c_0(c_1(c_1(z0)))))))))))))))))) -> 1(2(3(1(1(0(0(1(1(3(0(0(2(0(2(1(1(1(z0))))))))))))))))))
   0(c_2(c_0(c_2(c_2(c_1(c_1(c_0(c_2(c_0(c_0(c_0(c_1(c_0(c_3(c_0(c_2(c_0(z0)))))))))))))))))) -> 0(2(1(1(1(0(2(0(2(0(0(0(0(3(2(0(2(0(z0))))))))))))))))))
   0(c_0(c_2(c_0(c_0(c_0(c_1(c_1(c_0(c_2(c_2(c_3(c_3(c_0(c_0(c_3(c_0(c_2(z0)))))))))))))))))) -> 0(2(0(0(3(1(1(2(3(0(2(0(0(3(0(0(0(2(z0))))))))))))))))))
   0(c_0(c_3(c_2(c_0(c_0(c_1(c_0(c_1(c_3(c_2(c_3(c_2(c_2(c_2(c_0(c_1(c_1(z0)))))))))))))))))) -> 2(0(0(1(3(1(2(1(2(0(3(2(0(0(3(0(1(2(z0))))))))))))))))))
   0(c_2(c_2(c_2(c_2(c_2(c_1(c_3(c_1(c_0(c_1(c_2(c_3(c_2(c_0(c_1(c_1(c_2(z0)))))))))))))))))) -> 2(1(2(1(2(3(2(1(2(1(2(0(0(2(0(1(3(2(z0))))))))))))))))))
   0(c_0(c_2(c_1(c_0(c_0(c_1(c_0(c_1(c_0(c_3(c_1(c_3(c_3(c_2(c_0(c_1(c_1(z0)))))))))))))))))) -> 3(0(0(2(0(1(1(0(2(0(3(1(0(1(0(3(1(1(z0))))))))))))))))))
   0(c_0(c_0(c_1(c_3(c_2(c_2(c_3(c_0(c_2(c_2(c_0(c_1(c_0(c_0(c_0(c_1(c_2(z0)))))))))))))))))) -> 0(3(0(0(3(0(2(1(2(1(0(0(1(2(0(2(0(2(z0))))))))))))))))))
   0(c_2(c_2(c_1(c_3(c_0(c_0(c_1(c_3(c_0(c_1(c_0(c_3(c_3(c_2(c_0(c_1(c_3(z0)))))))))))))))))) -> 3(0(1(3(3(0(0(0(0(2(1(2(0(3(1(2(1(3(z0))))))))))))))))))
   0(c_2(c_3(c_1(c_3(c_3(c_1(c_3(c_2(c_3(c_2(c_2(c_1(c_0(c_1(c_1(c_1(c_1(z0)))))))))))))))))) -> 1(0(3(3(3(3(1(1(2(2(3(1(2(1(2(0(1(1(z0))))))))))))))))))
   0(c_1(c_1(c_0(c_0(c_2(c_2(c_0(c_3(c_2(c_1(c_0(c_3(c_1(c_1(c_0(c_2(c_2(z0)))))))))))))))))) -> 0(0(0(2(1(2(0(1(1(2(1(0(3(3(1(0(2(2(z0))))))))))))))))))
   0(c_1(c_0(c_1(c_0(c_3(c_0(c_1(c_3(c_1(c_3(c_0(c_1(c_0(c_1(c_3(c_2(c_1(z0)))))))))))))))))) -> 0(1(2(0(3(1(0(0(1(1(0(1(3(1(0(3(3(1(z0))))))))))))))))))
   0(c_2(c_2(c_2(c_3(c_3(c_0(c_1(c_3(c_1(c_1(c_1(c_0(c_1(c_3(c_2(c_0(c_2(z0)))))))))))))))))) -> 2(1(1(0(3(3(0(1(3(1(2(3(2(0(1(2(0(2(z0))))))))))))))))))
   0(c_0(c_1(c_3(c_2(c_1(c_0(c_1(c_2(c_2(c_1(c_1(c_1(c_1(c_2(c_3(c_2(c_2(z0)))))))))))))))))) -> 0(1(1(1(2(1(2(1(3(2(3(0(1(2(0(1(2(2(z0))))))))))))))))))
   0(c_2(c_2(c_0(c_3(c_1(c_3(c_1(c_3(c_3(c_1(c_2(c_1(c_0(c_0(c_2(c_0(c_1(z0)))))))))))))))))) -> 0(2(0(1(1(2(3(3(1(1(3(0(2(0(2(0(3(1(z0))))))))))))))))))
   0(c_2(c_3(c_1(c_3(c_2(c_3(c_1(c_1(c_0(c_2(c_3(c_2(c_1(c_0(c_0(c_1(c_2(z0)))))))))))))))))) -> 0(2(3(3(2(3(2(0(1(2(0(1(1(1(0(3(1(2(z0))))))))))))))))))
   0(c_2(c_3(c_2(c_1(c_1(c_3(c_3(c_1(c_3(c_0(c_1(c_0(c_1(c_1(c_3(c_2(c_1(z0)))))))))))))))))) -> 0(2(3(1(2(1(1(1(2(0(3(3(3(3(0(1(1(1(z0))))))))))))))))))
   0(c_0(c_1(c_1(c_3(c_2(c_3(c_2(c_3(c_2(c_0(c_0(c_2(c_3(c_2(c_3(c_1(c_0(z0)))))))))))))))))) -> 2(3(0(2(1(2(3(1(2(3(0(3(3(1(0(2(0(0(z0))))))))))))))))))
   0(c_0(c_2(c_0(c_3(c_2(c_2(c_3(c_3(c_1(c_3(c_2(c_1(c_1(c_3(c_0(c_0(c_1(z0)))))))))))))))))) -> 0(0(3(1(1(0(3(2(2(0(2(3(3(1(2(3(0(1(z0))))))))))))))))))
   0(c_3(c_1(c_0(c_0(c_3(c_0(c_0(c_1(c_0(c_3(c_2(c_1(c_3(c_0(c_0(c_1(c_2(z0)))))))))))))))))) -> 0(0(3(1(1(3(1(0(0(2(1(0(3(0(0(0(3(2(z0))))))))))))))))))
   0(c_3(c_0(c_1(c_3(c_1(c_3(c_2(c_0(c_1(c_0(c_1(c_0(c_0(c_3(c_1(c_1(c_3(z0)))))))))))))))))) -> 0(3(2(0(3(1(3(1(1(0(3(0(0(1(0(1(1(3(z0))))))))))))))))))
   0(c_0(c_3(c_3(c_1(c_3(c_3(c_0(c_1(c_3(c_2(c_3(c_3(c_3(c_0(c_3(c_3(c_3(z0)))))))))))))))))) -> 0(3(0(3(3(1(3(0(3(3(3(1(3(0(3(2(3(3(z0))))))))))))))))))
   0(c_0(c_2(c_0(c_1(c_1(c_2(c_0(c_1(c_0(c_1(c_0(c_1(c_0(c_2(c_3(c_2(c_0(z0)))))))))))))))))) -> 0(0(0(2(2(2(0(3(0(1(1(1(1(1(0(0(2(0(z0))))))))))))))))))
   0(c_0(c_3(c_1(c_0(c_0(c_2(c_2(c_0(c_0(c_0(c_2(c_2(c_3(c_2(c_2(c_2(c_0(z0)))))))))))))))))) -> 0(0(2(0(2(0(0(2(2(0(2(3(1(3(0(2(2(0(z0))))))))))))))))))
   1(z0) -> c_1(z0)
   1(c_0(c_0(c_0(c_3(c_0(c_2(c_3(c_1(c_2(c_3(c_1(c_1(c_2(c_2(c_2(c_2(c_3(z0)))))))))))))))))) -> 1(3(0(2(1(2(0(1(2(0(0(2(2(1(3(3(2(3(z0))))))))))))))))))
   1(c_3(c_1(c_3(c_2(c_2(c_0(c_0(c_0(c_0(c_1(c_3(c_2(c_0(c_1(c_3(c_3(c_0(z0)))))))))))))))))) -> 1(2(0(0(0(0(0(3(1(3(3(3(2(1(2(3(1(0(z0))))))))))))))))))
   1(c_1(c_2(c_0(c_2(c_2(c_1(c_2(c_3(c_2(c_3(c_1(c_0(c_0(c_1(c_3(c_0(c_2(z0)))))))))))))))))) -> 1(2(2(1(1(2(0(3(1(0(3(1(0(2(2(3(0(2(z0))))))))))))))))))
   1(c_0(c_3(c_2(c_3(c_2(c_2(c_0(c_3(c_2(c_2(c_1(c_1(c_0(c_3(c_2(c_3(c_3(z0)))))))))))))))))) -> 1(2(3(0(2(2(3(0(2(3(2(1(3(1(2(0(3(3(z0))))))))))))))))))
   1(c_1(c_0(c_1(c_1(c_3(c_2(c_0(c_2(c_1(c_2(c_2(c_1(c_2(c_3(c_1(c_1(c_1(z0)))))))))))))))))) -> 1(1(0(3(2(3(1(2(1(2(0(2(2(1(1(1(1(1(z0))))))))))))))))))
   1(c_3(c_2(c_3(c_0(c_3(c_3(c_3(c_1(c_3(c_3(c_1(c_3(c_3(c_3(c_2(c_2(c_0(z0)))))))))))))))))) -> 1(3(3(3(1(1(0(2(3(3(3(3(3(2(0(3(2(3(z0))))))))))))))))))
   1(c_3(c_3(c_1(c_1(c_3(c_0(c_2(c_0(c_1(c_3(c_1(c_3(c_0(c_3(c_2(c_2(c_1(z0)))))))))))))))))) -> 1(3(3(3(0(1(1(2(0(3(1(1(2(3(3(0(2(1(z0))))))))))))))))))
   1(c_0(c_0(c_0(c_1(c_3(c_2(c_2(c_2(c_2(c_2(c_3(c_1(c_3(c_1(c_1(c_1(c_1(z0)))))))))))))))))) -> 1(2(1(1(3(2(0(1(0(2(1(0(2(3(1(2(3(1(z0))))))))))))))))))
   1(c_1(c_0(c_0(c_3(c_2(c_2(c_2(c_2(c_0(c_3(c_2(c_2(c_0(c_0(c_1(c_0(c_0(z0)))))))))))))))))) -> 1(3(3(0(0(2(0(1(2(2(2(0(2(1(0(2(0(0(z0))))))))))))))))))
   1(c_0(c_1(c_0(c_1(c_3(c_0(c_2(c_3(c_0(c_1(c_3(c_3(c_2(c_1(c_0(c_1(c_3(z0)))))))))))))))))) -> 1(3(3(2(1(2(0(1(3(1(3(0(0(0(1(0(1(3(z0))))))))))))))))))
   1(c_0(c_1(c_1(c_3(c_2(c_1(c_1(c_0(c_0(c_0(c_1(c_3(c_0(c_0(c_0(c_1(c_0(z0)))))))))))))))))) -> 1(3(1(1(1(0(1(3(0(0(0(0(1(1(0(0(2(0(z0))))))))))))))))))
   1(c_0(c_2(c_3(c_0(c_1(c_0(c_2(c_0(c_1(c_0(c_3(c_1(c_2(c_2(c_2(c_3(c_1(z0)))))))))))))))))) -> 1(0(3(0(0(0(2(2(3(3(1(2(0(1(2(1(2(1(z0))))))))))))))))))
   1(c_2(c_2(c_1(c_2(c_2(c_1(c_0(c_1(c_2(c_1(c_1(c_0(c_2(c_3(c_2(c_2(c_0(z0)))))))))))))))))) -> 1(2(1(2(2(1(2(1(0(1(2(2(0(2(3(1(2(0(z0))))))))))))))))))
   1(c_1(c_1(c_0(c_1(c_1(c_3(c_2(c_3(c_0(c_0(c_3(c_3(c_3(c_2(c_2(c_2(c_1(z0)))))))))))))))))) -> 1(0(3(0(0(3(3(1(2(3(1(2(1(1(2(3(1(2(z0))))))))))))))))))
   1(c_1(c_3(c_3(c_2(c_1(c_1(c_1(c_3(c_3(c_1(c_1(c_0(c_2(c_0(c_2(c_1(c_2(z0)))))))))))))))))) -> 1(1(2(3(1(3(0(1(1(1(2(3(0(2(3(1(1(2(z0))))))))))))))))))
   1(c_0(c_3(c_0(c_2(c_0(c_3(c_0(c_1(c_1(c_2(c_3(c_0(c_1(c_3(c_2(c_0(c_3(z0)))))))))))))))))) -> 1(0(2(1(0(1(0(2(0(3(3(3(1(2(0(0(3(3(z0))))))))))))))))))
   1(c_1(c_1(c_0(c_1(c_1(c_2(c_2(c_2(c_1(c_0(c_1(c_1(c_1(c_3(c_3(c_0(c_3(z0)))))))))))))))))) -> 1(2(0(3(1(1(1(0(1(2(1(2(1(1(1(3(0(3(z0))))))))))))))))))
   1(c_0(c_1(c_3(c_2(c_0(c_2(c_1(c_3(c_3(c_2(c_1(c_3(c_2(c_2(c_0(c_1(c_2(z0)))))))))))))))))) -> 1(3(1(2(1(3(3(1(0(0(0(2(1(3(2(2(2(2(z0))))))))))))))))))
   1(c_1(c_3(c_3(c_1(c_0(c_2(c_3(c_2(c_1(c_3(c_2(c_0(c_1(c_1(c_1(c_1(c_1(z0)))))))))))))))))) -> 1(3(1(1(1(1(1(2(1(1(3(0(3(3(0(2(2(1(z0))))))))))))))))))
   1(c_3(c_0(c_1(c_3(c_2(c_2(c_2(c_2(c_1(c_0(c_0(c_1(c_2(c_2(c_0(c_0(c_1(z0)))))))))))))))))) -> 1(2(2(1(1(2(1(2(0(0(3(1(2(0(0(0(3(2(z0))))))))))))))))))
   1(c_3(c_1(c_2(c_2(c_2(c_1(c_3(c_3(c_0(c_1(c_1(c_0(c_0(c_2(c_2(c_3(c_2(z0)))))))))))))))))) -> 1(2(2(3(0(2(3(0(3(2(3(1(1(0(1(2(1(2(z0))))))))))))))))))
   2(z0) -> c_2(z0)
   2(c_0(c_2(c_2(c_3(c_2(c_0(c_2(c_0(c_1(c_1(c_3(c_1(c_3(c_3(c_3(c_2(c_0(z0)))))))))))))))))) -> 2(3(1(2(1(2(0(2(2(1(0(0(3(3(2(0(3(3(z0))))))))))))))))))
   2(c_1(c_0(c_0(c_2(c_2(c_2(c_0(c_1(c_3(c_1(c_3(c_2(c_3(c_2(c_1(c_1(c_2(z0)))))))))))))))))) -> 2(2(0(0(3(0(2(2(1(2(3(1(2(3(1(1(1(2(z0))))))))))))))))))
   2(c_0(c_2(c_0(c_0(c_1(c_1(c_1(c_3(c_1(c_1(c_3(c_2(c_3(c_1(c_3(c_2(c_3(z0)))))))))))))))))) -> 2(0(1(1(1(0(3(1(2(1(0(1(2(3(3(3(2(3(z0))))))))))))))))))
   2(c_3(c_1(c_0(c_0(c_3(c_1(c_0(c_1(c_3(c_0(c_1(c_2(c_2(c_2(c_2(c_0(c_2(z0)))))))))))))))))) -> 2(0(2(0(0(1(1(2(3(1(1(0(2(3(2(3(0(2(z0))))))))))))))))))
   2(c_1(c_3(c_3(c_2(c_1(c_2(c_3(c_1(c_3(c_3(c_1(c_2(c_1(c_2(c_2(c_0(c_3(z0)))))))))))))))))) -> 2(2(1(1(1(2(2(2(1(2(1(0(3(3(3(3(3(3(z0))))))))))))))))))
   2(c_1(c_0(c_2(c_1(c_0(c_0(c_1(c_1(c_2(c_2(c_2(c_2(c_2(c_2(c_2(c_2(c_1(z0)))))))))))))))))) -> 2(0(0(1(2(2(2(1(2(2(2(0(1(2(1(2(2(1(z0))))))))))))))))))
   2(c_3(c_0(c_1(c_0(c_0(c_3(c_1(c_0(c_3(c_2(c_3(c_2(c_2(c_2(c_3(c_3(c_2(z0)))))))))))))))))) -> 2(3(2(3(0(0(2(2(2(1(1(0(3(2(0(3(3(3(z0))))))))))))))))))
   2(c_2(c_3(c_1(c_0(c_3(c_2(c_2(c_2(c_2(c_3(c_1(c_3(c_3(c_0(c_2(c_3(c_2(z0)))))))))))))))))) -> 2(2(3(0(3(1(2(3(3(3(0(2(1(2(2(3(2(2(z0))))))))))))))))))
   2(c_1(c_1(c_3(c_2(c_0(c_0(c_0(c_2(c_1(c_0(c_2(c_2(c_3(c_2(c_3(c_2(c_0(z0)))))))))))))))))) -> 2(0(0(2(0(2(2(1(2(1(2(3(0(3(2(3(1(0(z0))))))))))))))))))
   3(z0) -> c_3(z0)
   3(c_3(c_1(c_2(c_1(c_3(c_2(c_2(c_1(c_2(c_1(c_2(c_2(c_0(c_3(c_2(c_1(c_0(z0)))))))))))))))))) -> 3(0(2(1(2(1(2(2(3(1(2(0(2(1(1(2(3(3(z0))))))))))))))))))
   3(c_3(c_0(c_2(c_0(c_1(c_3(c_1(c_0(c_2(c_2(c_2(c_2(c_0(c_3(c_3(c_1(c_0(z0)))))))))))))))))) -> 3(3(2(0(3(1(0(2(1(2(3(0(1(0(2(3(2(0(z0))))))))))))))))))
   3(c_1(c_0(c_2(c_1(c_0(c_1(c_0(c_1(c_0(c_2(c_2(c_0(c_2(c_3(c_3(c_2(c_2(z0)))))))))))))))))) -> 0(3(0(0(0(2(3(2(1(3(0(2(2(1(1(1(2(2(z0))))))))))))))))))
   3(c_0(c_1(c_0(c_2(c_3(c_2(c_0(c_1(c_0(c_1(c_2(c_3(c_1(c_2(c_0(c_1(c_2(z0)))))))))))))))))) -> 3(0(1(1(1(1(2(2(3(0(1(2(0(3(0(2(0(2(z0))))))))))))))))))
   3(c_2(c_0(c_3(c_0(c_1(c_1(c_0(c_2(c_3(c_0(c_3(c_0(c_0(c_1(c_0(c_2(c_0(z0)))))))))))))))))) -> 3(2(0(0(1(1(1(0(0(3(3(2(3(0(0(0(2(0(z0))))))))))))))))))
   3(c_2(c_2(c_0(c_2(c_3(c_0(c_1(c_0(c_3(c_1(c_3(c_3(c_1(c_3(c_1(c_2(c_3(z0)))))))))))))))))) -> 3(2(0(3(1(2(0(3(3(1(1(1(0(2(3(2(3(3(z0))))))))))))))))))
   3(c_0(c_3(c_0(c_3(c_2(c_2(c_3(c_2(c_1(c_0(c_2(c_3(c_1(c_2(c_3(c_3(c_0(z0)))))))))))))))))) -> 3(1(2(1(2(3(2(0(2(3(2(0(0(3(3(3(3(0(z0))))))))))))))))))
   3(c_1(c_1(c_0(c_1(c_0(c_3(c_1(c_1(c_2(c_1(c_3(c_0(c_3(c_3(c_1(c_0(c_3(z0)))))))))))))))))) -> 3(1(1(1(3(1(1(1(0(3(0(0(1(2(3(3(0(3(z0))))))))))))))))))
   3(c_0(c_1(c_0(c_0(c_2(c_1(c_0(c_1(c_3(c_2(c_1(c_1(c_3(c_3(c_0(c_1(c_1(z0)))))))))))))))))) -> 3(0(0(2(3(1(1(1(0(1(3(0(1(0(3(2(1(1(z0))))))))))))))))))
   3(c_2(c_3(c_2(c_2(c_2(c_0(c_2(c_3(c_0(c_1(c_2(c_3(c_0(c_1(c_1(c_0(c_2(z0)))))))))))))))))) -> 3(2(2(3(3(0(3(1(2(2(0(1(0(0(2(2(1(2(z0))))))))))))))))))
   3(c_0(c_1(c_0(c_0(c_0(c_0(c_3(c_3(c_2(c_0(c_0(c_1(c_0(c_0(c_2(c_2(c_2(z0)))))))))))))))))) -> 0(2(0(3(0(0(2(0(3(3(0(0(0(2(1(0(1(2(z0))))))))))))))))))
   3(c_0(c_0(c_1(c_3(c_1(c_0(c_2(c_3(c_3(c_1(c_3(c_3(c_3(c_3(c_2(c_1(c_0(z0)))))))))))))))))) -> 3(0(3(1(1(2(2(1(3(0(3(3(0(3(3(3(1(0(z0))))))))))))))))))
   3(c_2(c_2(c_1(c_3(c_1(c_2(c_2(c_3(c_3(c_0(c_2(c_1(c_0(c_1(c_3(c_2(c_1(z0)))))))))))))))))) -> 3(2(3(1(1(2(3(0(2(1(3(1(1(2(3(0(2(2(z0))))))))))))))))))
   3(c_2(c_2(c_2(c_2(c_2(c_1(c_0(c_0(c_1(c_3(c_2(c_3(c_1(c_3(c_3(c_2(c_1(z0)))))))))))))))))) -> 3(2(3(1(0(2(2(2(1(3(3(2(1(0(2(2(3(1(z0))))))))))))))))))
   3(c_1(c_2(c_2(c_3(c_1(c_0(c_1(c_1(c_1(c_1(c_3(c_2(c_1(c_1(c_1(c_3(c_1(z0)))))))))))))))))) -> 3(1(1(2(2(3(1(1(0(1(2(1(1(3(1(1(3(1(z0))))))))))))))))))
   3(c_3(c_1(c_3(c_3(c_2(c_1(c_3(c_2(c_3(c_3(c_2(c_3(c_1(c_3(c_2(c_3(c_1(z0)))))))))))))))))) -> 3(1(3(1(2(2(3(3(3(3(3(3(3(2(2(1(3(1(z0))))))))))))))))))
   3(c_0(c_0(c_1(c_3(c_2(c_2(c_1(c_3(c_3(c_0(c_1(c_2(c_1(c_0(c_3(c_1(c_2(z0)))))))))))))))))) -> 3(0(1(1(3(3(0(2(3(1(2(1(3(0(2(0(1(2(z0))))))))))))))))))
   3(c_2(c_1(c_0(c_1(c_0(c_1(c_3(c_0(c_1(c_2(c_3(c_0(c_0(c_1(c_3(c_0(c_1(z0)))))))))))))))))) -> 3(0(0(3(0(3(3(0(0(1(1(0(1(2(1(2(1(1(z0))))))))))))))))))
   3(c_0(c_1(c_0(c_2(c_1(c_0(c_0(c_0(c_0(c_1(c_1(c_3(c_2(c_2(c_3(c_0(c_1(z0)))))))))))))))))) -> 3(0(0(3(0(3(2(1(1(0(0(0(2(1(1(1(0(2(z0))))))))))))))))))
   3(c_3(c_2(c_2(c_3(c_0(c_1(c_3(c_3(c_3(c_0(c_0(c_0(c_2(c_0(c_2(c_3(c_0(z0)))))))))))))))))) -> 3(3(3(0(3(2(0(2(3(0(2(2(0(1(3(0(3(0(z0))))))))))))))))))
   3(c_2(c_0(c_1(c_2(c_3(c_2(c_2(c_1(c_3(c_0(c_3(c_3(c_1(c_3(c_3(c_2(c_2(z0)))))))))))))))))) -> 3(2(0(1(2(0(1(3(3(2(3(3(3(3(1(2(2(2(z0))))))))))))))))))
   3(c_1(c_0(c_3(c_2(c_1(c_0(c_3(c_0(c_2(c_3(c_2(c_3(c_0(c_1(c_3(c_3(c_2(z0)))))))))))))))))) -> 3(1(0(3(1(3(3(3(0(2(3(0(3(2(2(0(1(2(z0))))))))))))))))))
   3(c_3(c_1(c_3(c_0(c_2(c_3(c_3(c_3(c_1(c_0(c_0(c_2(c_2(c_0(c_2(c_0(c_1(z0)))))))))))))))))) -> 3(0(0(2(0(0(3(0(3(3(2(1(2(1(2(3(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_2(c_0(c_3(c_2(c_1(c_0(z0)))))))))))))))))) -> 3(3(1(0(0(2(1(1(1(2(3(1(1(2(0(0(3(0(z0))))))))))))))))))
   3(c_2(c_2(c_2(c_2(c_3(c_3(c_1(c_3(c_1(c_1(c_3(c_3(c_1(c_2(c_2(c_3(c_2(z0)))))))))))))))))) -> 3(2(3(2(3(1(2(3(1(2(3(3(2(3(2(1(1(2(z0))))))))))))))))))
Tuples:
   ENCARG(cons_3(z0)) -> c3(3'(encArg(z0)), ENCARG(z0))
   0'(c_2(c_3(c_3(c_2(c_1(c_3(c_0(c_1(c_3(c_1(c_3(c_3(c_0(c_2(c_1(c_0(c_1(z0)))))))))))))))))) -> c9(0'(2(3(3(0(3(1(0(2(3(1(0(3(3(2(1(1(1(z0)))))))))))))))))), 2'(3(3(0(3(1(0(2(3(1(0(3(3(2(1(1(1(z0))))))))))))))))), 3'(3(0(3(1(0(2(3(1(0(3(3(2(1(1(1(z0)))))))))))))))), 3'(0(3(1(0(2(3(1(0(3(3(2(1(1(1(z0))))))))))))))), 0'(3(1(0(2(3(1(0(3(3(2(1(1(1(z0)))))))))))))), 3'(1(0(2(3(1(0(3(3(2(1(1(1(z0))))))))))))), 1'(0(2(3(1(0(3(3(2(1(1(1(z0)))))))))))), 0'(2(3(1(0(3(3(2(1(1(1(z0))))))))))), 2'(3(1(0(3(3(2(1(1(1(z0)))))))))), 3'(1(0(3(3(2(1(1(1(z0))))))))), 1'(0(3(3(2(1(1(1(z0)))))))), 0'(3(3(2(1(1(1(z0))))))), 3'(3(2(1(1(1(z0)))))), 3'(2(1(1(1(z0))))), 2'(1(1(1(z0)))), 1'(1(1(z0))), 1'(1(z0)), 1'(z0))
   0'(c_3(c_1(c_0(c_2(c_2(c_1(c_0(c_1(c_1(c_0(c_0(c_3(c_1(c_2(c_2(c_3(c_0(z0)))))))))))))))))) -> c10(0'(3(1(1(0(3(2(0(2(1(2(2(0(3(1(1(0(0(z0)))))))))))))))))), 3'(1(1(0(3(2(0(2(1(2(2(0(3(1(1(0(0(z0))))))))))))))))), 1'(1(0(3(2(0(2(1(2(2(0(3(1(1(0(0(z0)))))))))))))))), 1'(0(3(2(0(2(1(2(2(0(3(1(1(0(0(z0))))))))))))))), 0'(3(2(0(2(1(2(2(0(3(1(1(0(0(z0)))))))))))))), 3'(2(0(2(1(2(2(0(3(1(1(0(0(z0))))))))))))), 2'(0(2(1(2(2(0(3(1(1(0(0(z0)))))))))))), 0'(2(1(2(2(0(3(1(1(0(0(z0))))))))))), 2'(1(2(2(0(3(1(1(0(0(z0)))))))))), 1'(2(2(0(3(1(1(0(0(z0))))))))), 2'(2(0(3(1(1(0(0(z0)))))))), 2'(0(3(1(1(0(0(z0))))))), 0'(3(1(1(0(0(z0)))))), 3'(1(1(0(0(z0))))), 1'(1(0(0(z0)))), 1'(0(0(z0))), 0'(0(z0)), 0'(z0))
   0'(c_1(c_0(c_3(c_2(c_2(c_3(c_2(c_0(c_1(c_1(c_1(c_1(c_0(c_1(c_0(c_1(c_1(z0)))))))))))))))))) -> c11(1'(2(3(1(1(0(0(1(1(3(0(0(2(0(2(1(1(1(z0)))))))))))))))))), 2'(3(1(1(0(0(1(1(3(0(0(2(0(2(1(1(1(z0))))))))))))))))), 3'(1(1(0(0(1(1(3(0(0(2(0(2(1(1(1(z0)))))))))))))))), 1'(1(0(0(1(1(3(0(0(2(0(2(1(1(1(z0))))))))))))))), 1'(0(0(1(1(3(0(0(2(0(2(1(1(1(z0)))))))))))))), 0'(0(1(1(3(0(0(2(0(2(1(1(1(z0))))))))))))), 0'(1(1(3(0(0(2(0(2(1(1(1(z0)))))))))))), 1'(1(3(0(0(2(0(2(1(1(1(z0))))))))))), 1'(3(0(0(2(0(2(1(1(1(z0)))))))))), 3'(0(0(2(0(2(1(1(1(z0))))))))), 0'(0(2(0(2(1(1(1(z0)))))))), 0'(2(0(2(1(1(1(z0))))))), 2'(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))
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   3'(c_2(c_2(c_2(c_2(c_2(c_1(c_0(c_0(c_1(c_3(c_2(c_3(c_1(c_3(c_3(c_2(c_1(z0)))))))))))))))))) -> c80(3'(2(3(1(0(2(2(2(1(3(3(2(1(0(2(2(3(1(z0)))))))))))))))))), 2'(3(1(0(2(2(2(1(3(3(2(1(0(2(2(3(1(z0))))))))))))))))), 3'(1(0(2(2(2(1(3(3(2(1(0(2(2(3(1(z0)))))))))))))))), 1'(0(2(2(2(1(3(3(2(1(0(2(2(3(1(z0))))))))))))))), 0'(2(2(2(1(3(3(2(1(0(2(2(3(1(z0)))))))))))))), 2'(2(2(1(3(3(2(1(0(2(2(3(1(z0))))))))))))), 2'(2(1(3(3(2(1(0(2(2(3(1(z0)))))))))))), 2'(1(3(3(2(1(0(2(2(3(1(z0))))))))))), 1'(3(3(2(1(0(2(2(3(1(z0)))))))))), 3'(3(2(1(0(2(2(3(1(z0))))))))), 3'(2(1(0(2(2(3(1(z0)))))))), 2'(1(0(2(2(3(1(z0))))))), 1'(0(2(2(3(1(z0)))))), 0'(2(2(3(1(z0))))), 2'(2(3(1(z0)))), 2'(3(1(z0))), 3'(1(z0)), 1'(z0))
   3'(c_1(c_2(c_2(c_3(c_1(c_0(c_1(c_1(c_1(c_1(c_3(c_2(c_1(c_1(c_1(c_3(c_1(z0)))))))))))))))))) -> c81(3'(1(1(2(2(3(1(1(0(1(2(1(1(3(1(1(3(1(z0)))))))))))))))))), 1'(1(2(2(3(1(1(0(1(2(1(1(3(1(1(3(1(z0))))))))))))))))), 1'(2(2(3(1(1(0(1(2(1(1(3(1(1(3(1(z0)))))))))))))))), 2'(2(3(1(1(0(1(2(1(1(3(1(1(3(1(z0))))))))))))))), 2'(3(1(1(0(1(2(1(1(3(1(1(3(1(z0)))))))))))))), 3'(1(1(0(1(2(1(1(3(1(1(3(1(z0))))))))))))), 1'(1(0(1(2(1(1(3(1(1(3(1(z0)))))))))))), 1'(0(1(2(1(1(3(1(1(3(1(z0))))))))))), 0'(1(2(1(1(3(1(1(3(1(z0)))))))))), 1'(2(1(1(3(1(1(3(1(z0))))))))), 2'(1(1(3(1(1(3(1(z0)))))))), 1'(1(3(1(1(3(1(z0))))))), 1'(3(1(1(3(1(z0)))))), 3'(1(1(3(1(z0))))), 1'(1(3(1(z0)))), 1'(3(1(z0))), 3'(1(z0)), 1'(z0))
   3'(c_3(c_1(c_3(c_3(c_2(c_1(c_3(c_2(c_3(c_3(c_2(c_3(c_1(c_3(c_2(c_3(c_1(z0)))))))))))))))))) -> c82(3'(1(3(1(2(2(3(3(3(3(3(3(3(2(2(1(3(1(z0)))))))))))))))))), 1'(3(1(2(2(3(3(3(3(3(3(3(2(2(1(3(1(z0))))))))))))))))), 3'(1(2(2(3(3(3(3(3(3(3(2(2(1(3(1(z0)))))))))))))))), 1'(2(2(3(3(3(3(3(3(3(2(2(1(3(1(z0))))))))))))))), 2'(2(3(3(3(3(3(3(3(2(2(1(3(1(z0)))))))))))))), 2'(3(3(3(3(3(3(3(2(2(1(3(1(z0))))))))))))), 3'(3(3(3(3(3(3(2(2(1(3(1(z0)))))))))))), 3'(3(3(3(3(3(2(2(1(3(1(z0))))))))))), 3'(3(3(3(3(2(2(1(3(1(z0)))))))))), 3'(3(3(3(2(2(1(3(1(z0))))))))), 3'(3(3(2(2(1(3(1(z0)))))))), 3'(3(2(2(1(3(1(z0))))))), 3'(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))
   3'(c_0(c_0(c_1(c_3(c_2(c_2(c_1(c_3(c_3(c_0(c_1(c_2(c_1(c_0(c_3(c_1(c_2(z0)))))))))))))))))) -> c83(3'(0(1(1(3(3(0(2(3(1(2(1(3(0(2(0(1(2(z0)))))))))))))))))), 0'(1(1(3(3(0(2(3(1(2(1(3(0(2(0(1(2(z0))))))))))))))))), 1'(1(3(3(0(2(3(1(2(1(3(0(2(0(1(2(z0)))))))))))))))), 1'(3(3(0(2(3(1(2(1(3(0(2(0(1(2(z0))))))))))))))), 3'(3(0(2(3(1(2(1(3(0(2(0(1(2(z0)))))))))))))), 3'(0(2(3(1(2(1(3(0(2(0(1(2(z0))))))))))))), 0'(2(3(1(2(1(3(0(2(0(1(2(z0)))))))))))), 2'(3(1(2(1(3(0(2(0(1(2(z0))))))))))), 3'(1(2(1(3(0(2(0(1(2(z0)))))))))), 1'(2(1(3(0(2(0(1(2(z0))))))))), 2'(1(3(0(2(0(1(2(z0)))))))), 1'(3(0(2(0(1(2(z0))))))), 3'(0(2(0(1(2(z0)))))), 0'(2(0(1(2(z0))))), 2'(0(1(2(z0)))), 0'(1(2(z0))), 1'(2(z0)), 2'(z0))
   3'(c_2(c_1(c_0(c_1(c_0(c_1(c_3(c_0(c_1(c_2(c_3(c_0(c_0(c_1(c_3(c_0(c_1(z0)))))))))))))))))) -> c84(3'(0(0(3(0(3(3(0(0(1(1(0(1(2(1(2(1(1(z0)))))))))))))))))), 0'(0(3(0(3(3(0(0(1(1(0(1(2(1(2(1(1(z0))))))))))))))))), 0'(3(0(3(3(0(0(1(1(0(1(2(1(2(1(1(z0)))))))))))))))), 3'(0(3(3(0(0(1(1(0(1(2(1(2(1(1(z0))))))))))))))), 0'(3(3(0(0(1(1(0(1(2(1(2(1(1(z0)))))))))))))), 3'(3(0(0(1(1(0(1(2(1(2(1(1(z0))))))))))))), 3'(0(0(1(1(0(1(2(1(2(1(1(z0)))))))))))), 0'(0(1(1(0(1(2(1(2(1(1(z0))))))))))), 0'(1(1(0(1(2(1(2(1(1(z0)))))))))), 1'(1(0(1(2(1(2(1(1(z0))))))))), 1'(0(1(2(1(2(1(1(z0)))))))), 0'(1(2(1(2(1(1(z0))))))), 1'(2(1(2(1(1(z0)))))), 2'(1(2(1(1(z0))))), 1'(2(1(1(z0)))), 2'(1(1(z0))), 1'(1(z0)), 1'(z0))
   3'(c_0(c_1(c_0(c_2(c_1(c_0(c_0(c_0(c_0(c_1(c_1(c_3(c_2(c_2(c_3(c_0(c_1(z0)))))))))))))))))) -> c85(3'(0(0(3(0(3(2(1(1(0(0(0(2(1(1(1(0(2(z0)))))))))))))))))), 0'(0(3(0(3(2(1(1(0(0(0(2(1(1(1(0(2(z0))))))))))))))))), 0'(3(0(3(2(1(1(0(0(0(2(1(1(1(0(2(z0)))))))))))))))), 3'(0(3(2(1(1(0(0(0(2(1(1(1(0(2(z0))))))))))))))), 0'(3(2(1(1(0(0(0(2(1(1(1(0(2(z0)))))))))))))), 3'(2(1(1(0(0(0(2(1(1(1(0(2(z0))))))))))))), 2'(1(1(0(0(0(2(1(1(1(0(2(z0)))))))))))), 1'(1(0(0(0(2(1(1(1(0(2(z0))))))))))), 1'(0(0(0(2(1(1(1(0(2(z0)))))))))), 0'(0(0(2(1(1(1(0(2(z0))))))))), 0'(0(2(1(1(1(0(2(z0)))))))), 0'(2(1(1(1(0(2(z0))))))), 2'(1(1(1(0(2(z0)))))), 1'(1(1(0(2(z0))))), 1'(1(0(2(z0)))), 1'(0(2(z0))), 0'(2(z0)), 2'(z0))
   3'(c_3(c_2(c_2(c_3(c_0(c_1(c_3(c_3(c_3(c_0(c_0(c_0(c_2(c_0(c_2(c_3(c_0(z0)))))))))))))))))) -> c86(3'(3(3(0(3(2(0(2(3(0(2(2(0(1(3(0(3(0(z0)))))))))))))))))), 3'(3(0(3(2(0(2(3(0(2(2(0(1(3(0(3(0(z0))))))))))))))))), 3'(0(3(2(0(2(3(0(2(2(0(1(3(0(3(0(z0)))))))))))))))), 0'(3(2(0(2(3(0(2(2(0(1(3(0(3(0(z0))))))))))))))), 3'(2(0(2(3(0(2(2(0(1(3(0(3(0(z0)))))))))))))), 2'(0(2(3(0(2(2(0(1(3(0(3(0(z0))))))))))))), 0'(2(3(0(2(2(0(1(3(0(3(0(z0)))))))))))), 2'(3(0(2(2(0(1(3(0(3(0(z0))))))))))), 3'(0(2(2(0(1(3(0(3(0(z0)))))))))), 0'(2(2(0(1(3(0(3(0(z0))))))))), 2'(2(0(1(3(0(3(0(z0)))))))), 2'(0(1(3(0(3(0(z0))))))), 0'(1(3(0(3(0(z0)))))), 1'(3(0(3(0(z0))))), 3'(0(3(0(z0)))), 0'(3(0(z0))), 3'(0(z0)), 0'(z0))
   3'(c_2(c_0(c_1(c_2(c_3(c_2(c_2(c_1(c_3(c_0(c_3(c_3(c_1(c_3(c_3(c_2(c_2(z0)))))))))))))))))) -> c87(3'(2(0(1(2(0(1(3(3(2(3(3(3(3(1(2(2(2(z0)))))))))))))))))), 2'(0(1(2(0(1(3(3(2(3(3(3(3(1(2(2(2(z0))))))))))))))))), 0'(1(2(0(1(3(3(2(3(3(3(3(1(2(2(2(z0)))))))))))))))), 1'(2(0(1(3(3(2(3(3(3(3(1(2(2(2(z0))))))))))))))), 2'(0(1(3(3(2(3(3(3(3(1(2(2(2(z0)))))))))))))), 0'(1(3(3(2(3(3(3(3(1(2(2(2(z0))))))))))))), 1'(3(3(2(3(3(3(3(1(2(2(2(z0)))))))))))), 3'(3(2(3(3(3(3(1(2(2(2(z0))))))))))), 3'(2(3(3(3(3(1(2(2(2(z0)))))))))), 2'(3(3(3(3(1(2(2(2(z0))))))))), 3'(3(3(3(1(2(2(2(z0)))))))), 3'(3(3(1(2(2(2(z0))))))), 3'(3(1(2(2(2(z0)))))), 3'(1(2(2(2(z0))))), 1'(2(2(2(z0)))), 2'(2(2(z0))), 2'(2(z0)), 2'(z0))
   3'(c_1(c_0(c_3(c_2(c_1(c_0(c_3(c_0(c_2(c_3(c_2(c_3(c_0(c_1(c_3(c_3(c_2(z0)))))))))))))))))) -> c88(3'(1(0(3(1(3(3(3(0(2(3(0(3(2(2(0(1(2(z0)))))))))))))))))), 1'(0(3(1(3(3(3(0(2(3(0(3(2(2(0(1(2(z0))))))))))))))))), 0'(3(1(3(3(3(0(2(3(0(3(2(2(0(1(2(z0)))))))))))))))), 3'(1(3(3(3(0(2(3(0(3(2(2(0(1(2(z0))))))))))))))), 1'(3(3(3(0(2(3(0(3(2(2(0(1(2(z0)))))))))))))), 3'(3(3(0(2(3(0(3(2(2(0(1(2(z0))))))))))))), 3'(3(0(2(3(0(3(2(2(0(1(2(z0)))))))))))), 3'(0(2(3(0(3(2(2(0(1(2(z0))))))))))), 0'(2(3(0(3(2(2(0(1(2(z0)))))))))), 2'(3(0(3(2(2(0(1(2(z0))))))))), 3'(0(3(2(2(0(1(2(z0)))))))), 0'(3(2(2(0(1(2(z0))))))), 3'(2(2(0(1(2(z0)))))), 2'(2(0(1(2(z0))))), 2'(0(1(2(z0)))), 0'(1(2(z0))), 1'(2(z0)), 2'(z0))
   3'(c_3(c_1(c_3(c_0(c_2(c_3(c_3(c_3(c_1(c_0(c_0(c_2(c_2(c_0(c_2(c_0(c_1(z0)))))))))))))))))) -> c89(3'(0(0(2(0(0(3(0(3(3(2(1(2(1(2(3(3(1(z0)))))))))))))))))), 0'(0(2(0(0(3(0(3(3(2(1(2(1(2(3(3(1(z0))))))))))))))))), 0'(2(0(0(3(0(3(3(2(1(2(1(2(3(3(1(z0)))))))))))))))), 2'(0(0(3(0(3(3(2(1(2(1(2(3(3(1(z0))))))))))))))), 0'(0(3(0(3(3(2(1(2(1(2(3(3(1(z0)))))))))))))), 0'(3(0(3(3(2(1(2(1(2(3(3(1(z0))))))))))))), 3'(0(3(3(2(1(2(1(2(3(3(1(z0)))))))))))), 0'(3(3(2(1(2(1(2(3(3(1(z0))))))))))), 3'(3(2(1(2(1(2(3(3(1(z0)))))))))), 3'(2(1(2(1(2(3(3(1(z0))))))))), 2'(1(2(1(2(3(3(1(z0)))))))), 1'(2(1(2(3(3(1(z0))))))), 2'(1(2(3(3(1(z0)))))), 1'(2(3(3(1(z0))))), 2'(3(3(1(z0)))), 3'(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_2(c_0(c_3(c_2(c_1(c_0(z0)))))))))))))))))) -> c90(3'(3(1(0(0(2(1(1(1(2(3(1(1(2(0(0(3(0(z0)))))))))))))))))), 3'(1(0(0(2(1(1(1(2(3(1(1(2(0(0(3(0(z0))))))))))))))))), 1'(0(0(2(1(1(1(2(3(1(1(2(0(0(3(0(z0)))))))))))))))), 0'(0(2(1(1(1(2(3(1(1(2(0(0(3(0(z0))))))))))))))), 0'(2(1(1(1(2(3(1(1(2(0(0(3(0(z0)))))))))))))), 2'(1(1(1(2(3(1(1(2(0(0(3(0(z0))))))))))))), 1'(1(1(2(3(1(1(2(0(0(3(0(z0)))))))))))), 1'(1(2(3(1(1(2(0(0(3(0(z0))))))))))), 1'(2(3(1(1(2(0(0(3(0(z0)))))))))), 2'(3(1(1(2(0(0(3(0(z0))))))))), 3'(1(1(2(0(0(3(0(z0)))))))), 1'(1(2(0(0(3(0(z0))))))), 1'(2(0(0(3(0(z0)))))), 2'(0(0(3(0(z0))))), 0'(0(3(0(z0)))), 0'(3(0(z0))), 3'(0(z0)), 0'(z0))
   3'(c_2(c_2(c_2(c_2(c_3(c_3(c_1(c_3(c_1(c_1(c_3(c_3(c_1(c_2(c_2(c_3(c_2(z0)))))))))))))))))) -> c91(3'(2(3(2(3(1(2(3(1(2(3(3(2(3(2(1(1(2(z0)))))))))))))))))), 2'(3(2(3(1(2(3(1(2(3(3(2(3(2(1(1(2(z0))))))))))))))))), 3'(2(3(1(2(3(1(2(3(3(2(3(2(1(1(2(z0)))))))))))))))), 2'(3(1(2(3(1(2(3(3(2(3(2(1(1(2(z0))))))))))))))), 3'(1(2(3(1(2(3(3(2(3(2(1(1(2(z0)))))))))))))), 1'(2(3(1(2(3(3(2(3(2(1(1(2(z0))))))))))))), 2'(3(1(2(3(3(2(3(2(1(1(2(z0)))))))))))), 3'(1(2(3(3(2(3(2(1(1(2(z0))))))))))), 1'(2(3(3(2(3(2(1(1(2(z0)))))))))), 2'(3(3(2(3(2(1(1(2(z0))))))))), 3'(3(2(3(2(1(1(2(z0)))))))), 3'(2(3(2(1(1(2(z0))))))), 2'(3(2(1(1(2(z0)))))), 3'(2(1(1(2(z0))))), 2'(1(1(2(z0)))), 1'(1(2(z0))), 1'(2(z0)), 2'(z0))
   ENCODE_0(z0) -> c8(0'(encArg(z0)))
   ENCODE_1(z0) -> c8(1'(encArg(z0)))
   ENCODE_3(z0) -> c8(3'(encArg(z0)))
   ENCODE_2(z0) -> c8(2'(encArg(z0)))
   ENCARG(cons_0(cons_0(z0))) -> c(0'(0(encArg(z0))), ENCARG(cons_0(z0)))
   ENCARG(cons_0(cons_1(z0))) -> c(0'(1(encArg(z0))), ENCARG(cons_1(z0)))
   ENCARG(cons_0(cons_2(z0))) -> c(0'(2(encArg(z0))), ENCARG(cons_2(z0)))
   ENCARG(cons_0(cons_3(z0))) -> c(0'(3(encArg(z0))), ENCARG(cons_3(z0)))
   ENCARG(cons_1(cons_0(z0))) -> c1(1'(0(encArg(z0))), ENCARG(cons_0(z0)))
   ENCARG(cons_1(cons_1(z0))) -> c1(1'(1(encArg(z0))), ENCARG(cons_1(z0)))
   ENCARG(cons_1(cons_2(z0))) -> c1(1'(2(encArg(z0))), ENCARG(cons_2(z0)))
   ENCARG(cons_1(cons_3(z0))) -> c1(1'(3(encArg(z0))), ENCARG(cons_3(z0)))
   ENCARG(cons_2(cons_0(z0))) -> c2(2'(0(encArg(z0))), ENCARG(cons_0(z0)))
   ENCARG(cons_2(cons_1(z0))) -> c2(2'(1(encArg(z0))), ENCARG(cons_1(z0)))
   ENCARG(cons_2(cons_2(z0))) -> c2(2'(2(encArg(z0))), ENCARG(cons_2(z0)))
   ENCARG(cons_2(cons_3(z0))) -> c2(2'(3(encArg(z0))), ENCARG(cons_3(z0)))
S tuples:
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   0'(c_0(c_2(c_0(c_0(c_0(c_1(c_1(c_0(c_2(c_2(c_3(c_3(c_0(c_0(c_3(c_0(c_2(z0)))))))))))))))))) -> c13(0'(2(0(0(3(1(1(2(3(0(2(0(0(3(0(0(0(2(z0)))))))))))))))))), 2'(0(0(3(1(1(2(3(0(2(0(0(3(0(0(0(2(z0))))))))))))))))), 0'(0(3(1(1(2(3(0(2(0(0(3(0(0(0(2(z0)))))))))))))))), 0'(3(1(1(2(3(0(2(0(0(3(0(0(0(2(z0))))))))))))))), 3'(1(1(2(3(0(2(0(0(3(0(0(0(2(z0)))))))))))))), 1'(1(2(3(0(2(0(0(3(0(0(0(2(z0))))))))))))), 1'(2(3(0(2(0(0(3(0(0(0(2(z0)))))))))))), 2'(3(0(2(0(0(3(0(0(0(2(z0))))))))))), 3'(0(2(0(0(3(0(0(0(2(z0)))))))))), 0'(2(0(0(3(0(0(0(2(z0))))))))), 2'(0(0(3(0(0(0(2(z0)))))))), 0'(0(3(0(0(0(2(z0))))))), 0'(3(0(0(0(2(z0)))))), 3'(0(0(0(2(z0))))), 0'(0(0(2(z0)))), 0'(0(2(z0))), 0'(2(z0)), 2'(z0))
   0'(c_0(c_3(c_2(c_0(c_0(c_1(c_0(c_1(c_3(c_2(c_3(c_2(c_2(c_2(c_0(c_1(c_1(z0)))))))))))))))))) -> c14(2'(0(0(1(3(1(2(1(2(0(3(2(0(0(3(0(1(2(z0)))))))))))))))))), 0'(0(1(3(1(2(1(2(0(3(2(0(0(3(0(1(2(z0))))))))))))))))), 0'(1(3(1(2(1(2(0(3(2(0(0(3(0(1(2(z0)))))))))))))))), 1'(3(1(2(1(2(0(3(2(0(0(3(0(1(2(z0))))))))))))))), 3'(1(2(1(2(0(3(2(0(0(3(0(1(2(z0)))))))))))))), 1'(2(1(2(0(3(2(0(0(3(0(1(2(z0))))))))))))), 2'(1(2(0(3(2(0(0(3(0(1(2(z0)))))))))))), 1'(2(0(3(2(0(0(3(0(1(2(z0))))))))))), 2'(0(3(2(0(0(3(0(1(2(z0)))))))))), 0'(3(2(0(0(3(0(1(2(z0))))))))), 3'(2(0(0(3(0(1(2(z0)))))))), 2'(0(0(3(0(1(2(z0))))))), 0'(0(3(0(1(2(z0)))))), 0'(3(0(1(2(z0))))), 3'(0(1(2(z0)))), 0'(1(2(z0))), 1'(2(z0)), 2'(z0))
   0'(c_2(c_2(c_2(c_2(c_2(c_1(c_3(c_1(c_0(c_1(c_2(c_3(c_2(c_0(c_1(c_1(c_2(z0)))))))))))))))))) -> c15(2'(1(2(1(2(3(2(1(2(1(2(0(0(2(0(1(3(2(z0)))))))))))))))))), 1'(2(1(2(3(2(1(2(1(2(0(0(2(0(1(3(2(z0))))))))))))))))), 2'(1(2(3(2(1(2(1(2(0(0(2(0(1(3(2(z0)))))))))))))))), 1'(2(3(2(1(2(1(2(0(0(2(0(1(3(2(z0))))))))))))))), 2'(3(2(1(2(1(2(0(0(2(0(1(3(2(z0)))))))))))))), 3'(2(1(2(1(2(0(0(2(0(1(3(2(z0))))))))))))), 2'(1(2(1(2(0(0(2(0(1(3(2(z0)))))))))))), 1'(2(1(2(0(0(2(0(1(3(2(z0))))))))))), 2'(1(2(0(0(2(0(1(3(2(z0)))))))))), 1'(2(0(0(2(0(1(3(2(z0))))))))), 2'(0(0(2(0(1(3(2(z0)))))))), 0'(0(2(0(1(3(2(z0))))))), 0'(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))
   0'(c_0(c_2(c_1(c_0(c_0(c_1(c_0(c_1(c_0(c_3(c_1(c_3(c_3(c_2(c_0(c_1(c_1(z0)))))))))))))))))) -> c16(3'(0(0(2(0(1(1(0(2(0(3(1(0(1(0(3(1(1(z0)))))))))))))))))), 0'(0(2(0(1(1(0(2(0(3(1(0(1(0(3(1(1(z0))))))))))))))))), 0'(2(0(1(1(0(2(0(3(1(0(1(0(3(1(1(z0)))))))))))))))), 2'(0(1(1(0(2(0(3(1(0(1(0(3(1(1(z0))))))))))))))), 0'(1(1(0(2(0(3(1(0(1(0(3(1(1(z0)))))))))))))), 1'(1(0(2(0(3(1(0(1(0(3(1(1(z0))))))))))))), 1'(0(2(0(3(1(0(1(0(3(1(1(z0)))))))))))), 0'(2(0(3(1(0(1(0(3(1(1(z0))))))))))), 2'(0(3(1(0(1(0(3(1(1(z0)))))))))), 0'(3(1(0(1(0(3(1(1(z0))))))))), 3'(1(0(1(0(3(1(1(z0)))))))), 1'(0(1(0(3(1(1(z0))))))), 0'(1(0(3(1(1(z0)))))), 1'(0(3(1(1(z0))))), 0'(3(1(1(z0)))), 3'(1(1(z0))), 1'(1(z0)), 1'(z0))
   0'(c_0(c_0(c_1(c_3(c_2(c_2(c_3(c_0(c_2(c_2(c_0(c_1(c_0(c_0(c_0(c_1(c_2(z0)))))))))))))))))) -> c17(0'(3(0(0(3(0(2(1(2(1(0(0(1(2(0(2(0(2(z0)))))))))))))))))), 3'(0(0(3(0(2(1(2(1(0(0(1(2(0(2(0(2(z0))))))))))))))))), 0'(0(3(0(2(1(2(1(0(0(1(2(0(2(0(2(z0)))))))))))))))), 0'(3(0(2(1(2(1(0(0(1(2(0(2(0(2(z0))))))))))))))), 3'(0(2(1(2(1(0(0(1(2(0(2(0(2(z0)))))))))))))), 0'(2(1(2(1(0(0(1(2(0(2(0(2(z0))))))))))))), 2'(1(2(1(0(0(1(2(0(2(0(2(z0)))))))))))), 1'(2(1(0(0(1(2(0(2(0(2(z0))))))))))), 2'(1(0(0(1(2(0(2(0(2(z0)))))))))), 1'(0(0(1(2(0(2(0(2(z0))))))))), 0'(0(1(2(0(2(0(2(z0)))))))), 0'(1(2(0(2(0(2(z0))))))), 1'(2(0(2(0(2(z0)))))), 2'(0(2(0(2(z0))))), 0'(2(0(2(z0)))), 2'(0(2(z0))), 0'(2(z0)), 2'(z0))
   0'(c_2(c_2(c_1(c_3(c_0(c_0(c_1(c_3(c_0(c_1(c_0(c_3(c_3(c_2(c_0(c_1(c_3(z0)))))))))))))))))) -> c18(3'(0(1(3(3(0(0(0(0(2(1(2(0(3(1(2(1(3(z0)))))))))))))))))), 0'(1(3(3(0(0(0(0(2(1(2(0(3(1(2(1(3(z0))))))))))))))))), 1'(3(3(0(0(0(0(2(1(2(0(3(1(2(1(3(z0)))))))))))))))), 3'(3(0(0(0(0(2(1(2(0(3(1(2(1(3(z0))))))))))))))), 3'(0(0(0(0(2(1(2(0(3(1(2(1(3(z0)))))))))))))), 0'(0(0(0(2(1(2(0(3(1(2(1(3(z0))))))))))))), 0'(0(0(2(1(2(0(3(1(2(1(3(z0)))))))))))), 0'(0(2(1(2(0(3(1(2(1(3(z0))))))))))), 0'(2(1(2(0(3(1(2(1(3(z0)))))))))), 2'(1(2(0(3(1(2(1(3(z0))))))))), 1'(2(0(3(1(2(1(3(z0)))))))), 2'(0(3(1(2(1(3(z0))))))), 0'(3(1(2(1(3(z0)))))), 3'(1(2(1(3(z0))))), 1'(2(1(3(z0)))), 2'(1(3(z0))), 1'(3(z0)), 3'(z0))
   0'(c_2(c_3(c_1(c_3(c_3(c_1(c_3(c_2(c_3(c_2(c_2(c_1(c_0(c_1(c_1(c_1(c_1(z0)))))))))))))))))) -> c19(1'(0(3(3(3(3(1(1(2(2(3(1(2(1(2(0(1(1(z0)))))))))))))))))), 0'(3(3(3(3(1(1(2(2(3(1(2(1(2(0(1(1(z0))))))))))))))))), 3'(3(3(3(1(1(2(2(3(1(2(1(2(0(1(1(z0)))))))))))))))), 3'(3(3(1(1(2(2(3(1(2(1(2(0(1(1(z0))))))))))))))), 3'(3(1(1(2(2(3(1(2(1(2(0(1(1(z0)))))))))))))), 3'(1(1(2(2(3(1(2(1(2(0(1(1(z0))))))))))))), 1'(1(2(2(3(1(2(1(2(0(1(1(z0)))))))))))), 1'(2(2(3(1(2(1(2(0(1(1(z0))))))))))), 2'(2(3(1(2(1(2(0(1(1(z0)))))))))), 2'(3(1(2(1(2(0(1(1(z0))))))))), 3'(1(2(1(2(0(1(1(z0)))))))), 1'(2(1(2(0(1(1(z0))))))), 2'(1(2(0(1(1(z0)))))), 1'(2(0(1(1(z0))))), 2'(0(1(1(z0)))), 0'(1(1(z0))), 1'(1(z0)), 1'(z0))
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   3'(c_1(c_2(c_2(c_3(c_1(c_0(c_1(c_1(c_1(c_1(c_3(c_2(c_1(c_1(c_1(c_3(c_1(z0)))))))))))))))))) -> c81(3'(1(1(2(2(3(1(1(0(1(2(1(1(3(1(1(3(1(z0)))))))))))))))))), 1'(1(2(2(3(1(1(0(1(2(1(1(3(1(1(3(1(z0))))))))))))))))), 1'(2(2(3(1(1(0(1(2(1(1(3(1(1(3(1(z0)))))))))))))))), 2'(2(3(1(1(0(1(2(1(1(3(1(1(3(1(z0))))))))))))))), 2'(3(1(1(0(1(2(1(1(3(1(1(3(1(z0)))))))))))))), 3'(1(1(0(1(2(1(1(3(1(1(3(1(z0))))))))))))), 1'(1(0(1(2(1(1(3(1(1(3(1(z0)))))))))))), 1'(0(1(2(1(1(3(1(1(3(1(z0))))))))))), 0'(1(2(1(1(3(1(1(3(1(z0)))))))))), 1'(2(1(1(3(1(1(3(1(z0))))))))), 2'(1(1(3(1(1(3(1(z0)))))))), 1'(1(3(1(1(3(1(z0))))))), 1'(3(1(1(3(1(z0)))))), 3'(1(1(3(1(z0))))), 1'(1(3(1(z0)))), 1'(3(1(z0))), 3'(1(z0)), 1'(z0))
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K tuples:none
Defined Rule Symbols:   encArg_1, 0_1, 1_1, 2_1, 3_1

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

Compound Symbols:   c3_2, c9_18, c10_18, c11_18, c12_18, c13_18, c14_18, c15_18, c16_18, c17_18, c18_18, c19_18, c20_18, c21_18, c22_18, c23_18, c24_18, c25_18, c26_18, c27_18, c28_18, c29_18, c30_18, c31_18, c32_18, c33_18, c35_18, c36_18, c37_18, c38_18, c39_18, c40_18, c41_18, c42_18, c43_18, c44_18, c45_18, c46_18, c47_18, c48_18, c49_18, c50_18, c51_18, c52_18, c53_18, c54_18, c55_18, c57_18, c58_18, c59_18, c60_18, c61_18, c62_18, c63_18, c64_18, c65_18, c67_18, c68_18, c69_18, c70_18, c71_18, c72_18, c73_18, c74_18, c75_18, c76_18, c77_18, c78_18, c79_18, c80_18, c81_18, c82_18, c83_18, c84_18, c85_18, c86_18, c87_18, c88_18, c89_18, c90_18, c91_18, c8_1, c_2, c1_2, c2_2


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

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(54)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(cons_0(z0)) -> 0(encArg(z0))
   encArg(cons_1(z0)) -> 1(encArg(z0))
   encArg(cons_2(z0)) -> 2(encArg(z0))
   encArg(cons_3(z0)) -> 3(encArg(z0))
   0(z0) -> c_0(z0)
   0(c_2(c_3(c_3(c_2(c_1(c_3(c_0(c_1(c_3(c_1(c_3(c_3(c_0(c_2(c_1(c_0(c_1(z0)))))))))))))))))) -> 0(2(3(3(0(3(1(0(2(3(1(0(3(3(2(1(1(1(z0))))))))))))))))))
   0(c_3(c_1(c_0(c_2(c_2(c_1(c_0(c_1(c_1(c_0(c_0(c_3(c_1(c_2(c_2(c_3(c_0(z0)))))))))))))))))) -> 0(3(1(1(0(3(2(0(2(1(2(2(0(3(1(1(0(0(z0))))))))))))))))))
   0(c_1(c_0(c_3(c_2(c_2(c_3(c_2(c_0(c_1(c_1(c_1(c_1(c_0(c_1(c_0(c_1(c_1(z0)))))))))))))))))) -> 1(2(3(1(1(0(0(1(1(3(0(0(2(0(2(1(1(1(z0))))))))))))))))))
   0(c_2(c_0(c_2(c_2(c_1(c_1(c_0(c_2(c_0(c_0(c_0(c_1(c_0(c_3(c_0(c_2(c_0(z0)))))))))))))))))) -> 0(2(1(1(1(0(2(0(2(0(0(0(0(3(2(0(2(0(z0))))))))))))))))))
   0(c_0(c_2(c_0(c_0(c_0(c_1(c_1(c_0(c_2(c_2(c_3(c_3(c_0(c_0(c_3(c_0(c_2(z0)))))))))))))))))) -> 0(2(0(0(3(1(1(2(3(0(2(0(0(3(0(0(0(2(z0))))))))))))))))))
   0(c_0(c_3(c_2(c_0(c_0(c_1(c_0(c_1(c_3(c_2(c_3(c_2(c_2(c_2(c_0(c_1(c_1(z0)))))))))))))))))) -> 2(0(0(1(3(1(2(1(2(0(3(2(0(0(3(0(1(2(z0))))))))))))))))))
   0(c_2(c_2(c_2(c_2(c_2(c_1(c_3(c_1(c_0(c_1(c_2(c_3(c_2(c_0(c_1(c_1(c_2(z0)))))))))))))))))) -> 2(1(2(1(2(3(2(1(2(1(2(0(0(2(0(1(3(2(z0))))))))))))))))))
   0(c_0(c_2(c_1(c_0(c_0(c_1(c_0(c_1(c_0(c_3(c_1(c_3(c_3(c_2(c_0(c_1(c_1(z0)))))))))))))))))) -> 3(0(0(2(0(1(1(0(2(0(3(1(0(1(0(3(1(1(z0))))))))))))))))))
   0(c_0(c_0(c_1(c_3(c_2(c_2(c_3(c_0(c_2(c_2(c_0(c_1(c_0(c_0(c_0(c_1(c_2(z0)))))))))))))))))) -> 0(3(0(0(3(0(2(1(2(1(0(0(1(2(0(2(0(2(z0))))))))))))))))))
   0(c_2(c_2(c_1(c_3(c_0(c_0(c_1(c_3(c_0(c_1(c_0(c_3(c_3(c_2(c_0(c_1(c_3(z0)))))))))))))))))) -> 3(0(1(3(3(0(0(0(0(2(1(2(0(3(1(2(1(3(z0))))))))))))))))))
   0(c_2(c_3(c_1(c_3(c_3(c_1(c_3(c_2(c_3(c_2(c_2(c_1(c_0(c_1(c_1(c_1(c_1(z0)))))))))))))))))) -> 1(0(3(3(3(3(1(1(2(2(3(1(2(1(2(0(1(1(z0))))))))))))))))))
   0(c_1(c_1(c_0(c_0(c_2(c_2(c_0(c_3(c_2(c_1(c_0(c_3(c_1(c_1(c_0(c_2(c_2(z0)))))))))))))))))) -> 0(0(0(2(1(2(0(1(1(2(1(0(3(3(1(0(2(2(z0))))))))))))))))))
   0(c_1(c_0(c_1(c_0(c_3(c_0(c_1(c_3(c_1(c_3(c_0(c_1(c_0(c_1(c_3(c_2(c_1(z0)))))))))))))))))) -> 0(1(2(0(3(1(0(0(1(1(0(1(3(1(0(3(3(1(z0))))))))))))))))))
   0(c_2(c_2(c_2(c_3(c_3(c_0(c_1(c_3(c_1(c_1(c_1(c_0(c_1(c_3(c_2(c_0(c_2(z0)))))))))))))))))) -> 2(1(1(0(3(3(0(1(3(1(2(3(2(0(1(2(0(2(z0))))))))))))))))))
   0(c_0(c_1(c_3(c_2(c_1(c_0(c_1(c_2(c_2(c_1(c_1(c_1(c_1(c_2(c_3(c_2(c_2(z0)))))))))))))))))) -> 0(1(1(1(2(1(2(1(3(2(3(0(1(2(0(1(2(2(z0))))))))))))))))))
   0(c_2(c_2(c_0(c_3(c_1(c_3(c_1(c_3(c_3(c_1(c_2(c_1(c_0(c_0(c_2(c_0(c_1(z0)))))))))))))))))) -> 0(2(0(1(1(2(3(3(1(1(3(0(2(0(2(0(3(1(z0))))))))))))))))))
   0(c_2(c_3(c_1(c_3(c_2(c_3(c_1(c_1(c_0(c_2(c_3(c_2(c_1(c_0(c_0(c_1(c_2(z0)))))))))))))))))) -> 0(2(3(3(2(3(2(0(1(2(0(1(1(1(0(3(1(2(z0))))))))))))))))))
   0(c_2(c_3(c_2(c_1(c_1(c_3(c_3(c_1(c_3(c_0(c_1(c_0(c_1(c_1(c_3(c_2(c_1(z0)))))))))))))))))) -> 0(2(3(1(2(1(1(1(2(0(3(3(3(3(0(1(1(1(z0))))))))))))))))))
   0(c_0(c_1(c_1(c_3(c_2(c_3(c_2(c_3(c_2(c_0(c_0(c_2(c_3(c_2(c_3(c_1(c_0(z0)))))))))))))))))) -> 2(3(0(2(1(2(3(1(2(3(0(3(3(1(0(2(0(0(z0))))))))))))))))))
   0(c_0(c_2(c_0(c_3(c_2(c_2(c_3(c_3(c_1(c_3(c_2(c_1(c_1(c_3(c_0(c_0(c_1(z0)))))))))))))))))) -> 0(0(3(1(1(0(3(2(2(0(2(3(3(1(2(3(0(1(z0))))))))))))))))))
   0(c_3(c_1(c_0(c_0(c_3(c_0(c_0(c_1(c_0(c_3(c_2(c_1(c_3(c_0(c_0(c_1(c_2(z0)))))))))))))))))) -> 0(0(3(1(1(3(1(0(0(2(1(0(3(0(0(0(3(2(z0))))))))))))))))))
   0(c_3(c_0(c_1(c_3(c_1(c_3(c_2(c_0(c_1(c_0(c_1(c_0(c_0(c_3(c_1(c_1(c_3(z0)))))))))))))))))) -> 0(3(2(0(3(1(3(1(1(0(3(0(0(1(0(1(1(3(z0))))))))))))))))))
   0(c_0(c_3(c_3(c_1(c_3(c_3(c_0(c_1(c_3(c_2(c_3(c_3(c_3(c_0(c_3(c_3(c_3(z0)))))))))))))))))) -> 0(3(0(3(3(1(3(0(3(3(3(1(3(0(3(2(3(3(z0))))))))))))))))))
   0(c_0(c_2(c_0(c_1(c_1(c_2(c_0(c_1(c_0(c_1(c_0(c_1(c_0(c_2(c_3(c_2(c_0(z0)))))))))))))))))) -> 0(0(0(2(2(2(0(3(0(1(1(1(1(1(0(0(2(0(z0))))))))))))))))))
   0(c_0(c_3(c_1(c_0(c_0(c_2(c_2(c_0(c_0(c_0(c_2(c_2(c_3(c_2(c_2(c_2(c_0(z0)))))))))))))))))) -> 0(0(2(0(2(0(0(2(2(0(2(3(1(3(0(2(2(0(z0))))))))))))))))))
   1(z0) -> c_1(z0)
   1(c_0(c_0(c_0(c_3(c_0(c_2(c_3(c_1(c_2(c_3(c_1(c_1(c_2(c_2(c_2(c_2(c_3(z0)))))))))))))))))) -> 1(3(0(2(1(2(0(1(2(0(0(2(2(1(3(3(2(3(z0))))))))))))))))))
   1(c_3(c_1(c_3(c_2(c_2(c_0(c_0(c_0(c_0(c_1(c_3(c_2(c_0(c_1(c_3(c_3(c_0(z0)))))))))))))))))) -> 1(2(0(0(0(0(0(3(1(3(3(3(2(1(2(3(1(0(z0))))))))))))))))))
   1(c_1(c_2(c_0(c_2(c_2(c_1(c_2(c_3(c_2(c_3(c_1(c_0(c_0(c_1(c_3(c_0(c_2(z0)))))))))))))))))) -> 1(2(2(1(1(2(0(3(1(0(3(1(0(2(2(3(0(2(z0))))))))))))))))))
   1(c_0(c_3(c_2(c_3(c_2(c_2(c_0(c_3(c_2(c_2(c_1(c_1(c_0(c_3(c_2(c_3(c_3(z0)))))))))))))))))) -> 1(2(3(0(2(2(3(0(2(3(2(1(3(1(2(0(3(3(z0))))))))))))))))))
   1(c_1(c_0(c_1(c_1(c_3(c_2(c_0(c_2(c_1(c_2(c_2(c_1(c_2(c_3(c_1(c_1(c_1(z0)))))))))))))))))) -> 1(1(0(3(2(3(1(2(1(2(0(2(2(1(1(1(1(1(z0))))))))))))))))))
   1(c_3(c_2(c_3(c_0(c_3(c_3(c_3(c_1(c_3(c_3(c_1(c_3(c_3(c_3(c_2(c_2(c_0(z0)))))))))))))))))) -> 1(3(3(3(1(1(0(2(3(3(3(3(3(2(0(3(2(3(z0))))))))))))))))))
   1(c_3(c_3(c_1(c_1(c_3(c_0(c_2(c_0(c_1(c_3(c_1(c_3(c_0(c_3(c_2(c_2(c_1(z0)))))))))))))))))) -> 1(3(3(3(0(1(1(2(0(3(1(1(2(3(3(0(2(1(z0))))))))))))))))))
   1(c_0(c_0(c_0(c_1(c_3(c_2(c_2(c_2(c_2(c_2(c_3(c_1(c_3(c_1(c_1(c_1(c_1(z0)))))))))))))))))) -> 1(2(1(1(3(2(0(1(0(2(1(0(2(3(1(2(3(1(z0))))))))))))))))))
   1(c_1(c_0(c_0(c_3(c_2(c_2(c_2(c_2(c_0(c_3(c_2(c_2(c_0(c_0(c_1(c_0(c_0(z0)))))))))))))))))) -> 1(3(3(0(0(2(0(1(2(2(2(0(2(1(0(2(0(0(z0))))))))))))))))))
   1(c_0(c_1(c_0(c_1(c_3(c_0(c_2(c_3(c_0(c_1(c_3(c_3(c_2(c_1(c_0(c_1(c_3(z0)))))))))))))))))) -> 1(3(3(2(1(2(0(1(3(1(3(0(0(0(1(0(1(3(z0))))))))))))))))))
   1(c_0(c_1(c_1(c_3(c_2(c_1(c_1(c_0(c_0(c_0(c_1(c_3(c_0(c_0(c_0(c_1(c_0(z0)))))))))))))))))) -> 1(3(1(1(1(0(1(3(0(0(0(0(1(1(0(0(2(0(z0))))))))))))))))))
   1(c_0(c_2(c_3(c_0(c_1(c_0(c_2(c_0(c_1(c_0(c_3(c_1(c_2(c_2(c_2(c_3(c_1(z0)))))))))))))))))) -> 1(0(3(0(0(0(2(2(3(3(1(2(0(1(2(1(2(1(z0))))))))))))))))))
   1(c_2(c_2(c_1(c_2(c_2(c_1(c_0(c_1(c_2(c_1(c_1(c_0(c_2(c_3(c_2(c_2(c_0(z0)))))))))))))))))) -> 1(2(1(2(2(1(2(1(0(1(2(2(0(2(3(1(2(0(z0))))))))))))))))))
   1(c_1(c_1(c_0(c_1(c_1(c_3(c_2(c_3(c_0(c_0(c_3(c_3(c_3(c_2(c_2(c_2(c_1(z0)))))))))))))))))) -> 1(0(3(0(0(3(3(1(2(3(1(2(1(1(2(3(1(2(z0))))))))))))))))))
   1(c_1(c_3(c_3(c_2(c_1(c_1(c_1(c_3(c_3(c_1(c_1(c_0(c_2(c_0(c_2(c_1(c_2(z0)))))))))))))))))) -> 1(1(2(3(1(3(0(1(1(1(2(3(0(2(3(1(1(2(z0))))))))))))))))))
   1(c_0(c_3(c_0(c_2(c_0(c_3(c_0(c_1(c_1(c_2(c_3(c_0(c_1(c_3(c_2(c_0(c_3(z0)))))))))))))))))) -> 1(0(2(1(0(1(0(2(0(3(3(3(1(2(0(0(3(3(z0))))))))))))))))))
   1(c_1(c_1(c_0(c_1(c_1(c_2(c_2(c_2(c_1(c_0(c_1(c_1(c_1(c_3(c_3(c_0(c_3(z0)))))))))))))))))) -> 1(2(0(3(1(1(1(0(1(2(1(2(1(1(1(3(0(3(z0))))))))))))))))))
   1(c_0(c_1(c_3(c_2(c_0(c_2(c_1(c_3(c_3(c_2(c_1(c_3(c_2(c_2(c_0(c_1(c_2(z0)))))))))))))))))) -> 1(3(1(2(1(3(3(1(0(0(0(2(1(3(2(2(2(2(z0))))))))))))))))))
   1(c_1(c_3(c_3(c_1(c_0(c_2(c_3(c_2(c_1(c_3(c_2(c_0(c_1(c_1(c_1(c_1(c_1(z0)))))))))))))))))) -> 1(3(1(1(1(1(1(2(1(1(3(0(3(3(0(2(2(1(z0))))))))))))))))))
   1(c_3(c_0(c_1(c_3(c_2(c_2(c_2(c_2(c_1(c_0(c_0(c_1(c_2(c_2(c_0(c_0(c_1(z0)))))))))))))))))) -> 1(2(2(1(1(2(1(2(0(0(3(1(2(0(0(0(3(2(z0))))))))))))))))))
   1(c_3(c_1(c_2(c_2(c_2(c_1(c_3(c_3(c_0(c_1(c_1(c_0(c_0(c_2(c_2(c_3(c_2(z0)))))))))))))))))) -> 1(2(2(3(0(2(3(0(3(2(3(1(1(0(1(2(1(2(z0))))))))))))))))))
   2(z0) -> c_2(z0)
   2(c_0(c_2(c_2(c_3(c_2(c_0(c_2(c_0(c_1(c_1(c_3(c_1(c_3(c_3(c_3(c_2(c_0(z0)))))))))))))))))) -> 2(3(1(2(1(2(0(2(2(1(0(0(3(3(2(0(3(3(z0))))))))))))))))))
   2(c_1(c_0(c_0(c_2(c_2(c_2(c_0(c_1(c_3(c_1(c_3(c_2(c_3(c_2(c_1(c_1(c_2(z0)))))))))))))))))) -> 2(2(0(0(3(0(2(2(1(2(3(1(2(3(1(1(1(2(z0))))))))))))))))))
   2(c_0(c_2(c_0(c_0(c_1(c_1(c_1(c_3(c_1(c_1(c_3(c_2(c_3(c_1(c_3(c_2(c_3(z0)))))))))))))))))) -> 2(0(1(1(1(0(3(1(2(1(0(1(2(3(3(3(2(3(z0))))))))))))))))))
   2(c_3(c_1(c_0(c_0(c_3(c_1(c_0(c_1(c_3(c_0(c_1(c_2(c_2(c_2(c_2(c_0(c_2(z0)))))))))))))))))) -> 2(0(2(0(0(1(1(2(3(1(1(0(2(3(2(3(0(2(z0))))))))))))))))))
   2(c_1(c_3(c_3(c_2(c_1(c_2(c_3(c_1(c_3(c_3(c_1(c_2(c_1(c_2(c_2(c_0(c_3(z0)))))))))))))))))) -> 2(2(1(1(1(2(2(2(1(2(1(0(3(3(3(3(3(3(z0))))))))))))))))))
   2(c_1(c_0(c_2(c_1(c_0(c_0(c_1(c_1(c_2(c_2(c_2(c_2(c_2(c_2(c_2(c_2(c_1(z0)))))))))))))))))) -> 2(0(0(1(2(2(2(1(2(2(2(0(1(2(1(2(2(1(z0))))))))))))))))))
   2(c_3(c_0(c_1(c_0(c_0(c_3(c_1(c_0(c_3(c_2(c_3(c_2(c_2(c_2(c_3(c_3(c_2(z0)))))))))))))))))) -> 2(3(2(3(0(0(2(2(2(1(1(0(3(2(0(3(3(3(z0))))))))))))))))))
   2(c_2(c_3(c_1(c_0(c_3(c_2(c_2(c_2(c_2(c_3(c_1(c_3(c_3(c_0(c_2(c_3(c_2(z0)))))))))))))))))) -> 2(2(3(0(3(1(2(3(3(3(0(2(1(2(2(3(2(2(z0))))))))))))))))))
   2(c_1(c_1(c_3(c_2(c_0(c_0(c_0(c_2(c_1(c_0(c_2(c_2(c_3(c_2(c_3(c_2(c_0(z0)))))))))))))))))) -> 2(0(0(2(0(2(2(1(2(1(2(3(0(3(2(3(1(0(z0))))))))))))))))))
   3(z0) -> c_3(z0)
   3(c_3(c_1(c_2(c_1(c_3(c_2(c_2(c_1(c_2(c_1(c_2(c_2(c_0(c_3(c_2(c_1(c_0(z0)))))))))))))))))) -> 3(0(2(1(2(1(2(2(3(1(2(0(2(1(1(2(3(3(z0))))))))))))))))))
   3(c_3(c_0(c_2(c_0(c_1(c_3(c_1(c_0(c_2(c_2(c_2(c_2(c_0(c_3(c_3(c_1(c_0(z0)))))))))))))))))) -> 3(3(2(0(3(1(0(2(1(2(3(0(1(0(2(3(2(0(z0))))))))))))))))))
   3(c_1(c_0(c_2(c_1(c_0(c_1(c_0(c_1(c_0(c_2(c_2(c_0(c_2(c_3(c_3(c_2(c_2(z0)))))))))))))))))) -> 0(3(0(0(0(2(3(2(1(3(0(2(2(1(1(1(2(2(z0))))))))))))))))))
   3(c_0(c_1(c_0(c_2(c_3(c_2(c_0(c_1(c_0(c_1(c_2(c_3(c_1(c_2(c_0(c_1(c_2(z0)))))))))))))))))) -> 3(0(1(1(1(1(2(2(3(0(1(2(0(3(0(2(0(2(z0))))))))))))))))))
   3(c_2(c_0(c_3(c_0(c_1(c_1(c_0(c_2(c_3(c_0(c_3(c_0(c_0(c_1(c_0(c_2(c_0(z0)))))))))))))))))) -> 3(2(0(0(1(1(1(0(0(3(3(2(3(0(0(0(2(0(z0))))))))))))))))))
   3(c_2(c_2(c_0(c_2(c_3(c_0(c_1(c_0(c_3(c_1(c_3(c_3(c_1(c_3(c_1(c_2(c_3(z0)))))))))))))))))) -> 3(2(0(3(1(2(0(3(3(1(1(1(0(2(3(2(3(3(z0))))))))))))))))))
   3(c_0(c_3(c_0(c_3(c_2(c_2(c_3(c_2(c_1(c_0(c_2(c_3(c_1(c_2(c_3(c_3(c_0(z0)))))))))))))))))) -> 3(1(2(1(2(3(2(0(2(3(2(0(0(3(3(3(3(0(z0))))))))))))))))))
   3(c_1(c_1(c_0(c_1(c_0(c_3(c_1(c_1(c_2(c_1(c_3(c_0(c_3(c_3(c_1(c_0(c_3(z0)))))))))))))))))) -> 3(1(1(1(3(1(1(1(0(3(0(0(1(2(3(3(0(3(z0))))))))))))))))))
   3(c_0(c_1(c_0(c_0(c_2(c_1(c_0(c_1(c_3(c_2(c_1(c_1(c_3(c_3(c_0(c_1(c_1(z0)))))))))))))))))) -> 3(0(0(2(3(1(1(1(0(1(3(0(1(0(3(2(1(1(z0))))))))))))))))))
   3(c_2(c_3(c_2(c_2(c_2(c_0(c_2(c_3(c_0(c_1(c_2(c_3(c_0(c_1(c_1(c_0(c_2(z0)))))))))))))))))) -> 3(2(2(3(3(0(3(1(2(2(0(1(0(0(2(2(1(2(z0))))))))))))))))))
   3(c_0(c_1(c_0(c_0(c_0(c_0(c_3(c_3(c_2(c_0(c_0(c_1(c_0(c_0(c_2(c_2(c_2(z0)))))))))))))))))) -> 0(2(0(3(0(0(2(0(3(3(0(0(0(2(1(0(1(2(z0))))))))))))))))))
   3(c_0(c_0(c_1(c_3(c_1(c_0(c_2(c_3(c_3(c_1(c_3(c_3(c_3(c_3(c_2(c_1(c_0(z0)))))))))))))))))) -> 3(0(3(1(1(2(2(1(3(0(3(3(0(3(3(3(1(0(z0))))))))))))))))))
   3(c_2(c_2(c_1(c_3(c_1(c_2(c_2(c_3(c_3(c_0(c_2(c_1(c_0(c_1(c_3(c_2(c_1(z0)))))))))))))))))) -> 3(2(3(1(1(2(3(0(2(1(3(1(1(2(3(0(2(2(z0))))))))))))))))))
   3(c_2(c_2(c_2(c_2(c_2(c_1(c_0(c_0(c_1(c_3(c_2(c_3(c_1(c_3(c_3(c_2(c_1(z0)))))))))))))))))) -> 3(2(3(1(0(2(2(2(1(3(3(2(1(0(2(2(3(1(z0))))))))))))))))))
   3(c_1(c_2(c_2(c_3(c_1(c_0(c_1(c_1(c_1(c_1(c_3(c_2(c_1(c_1(c_1(c_3(c_1(z0)))))))))))))))))) -> 3(1(1(2(2(3(1(1(0(1(2(1(1(3(1(1(3(1(z0))))))))))))))))))
   3(c_3(c_1(c_3(c_3(c_2(c_1(c_3(c_2(c_3(c_3(c_2(c_3(c_1(c_3(c_2(c_3(c_1(z0)))))))))))))))))) -> 3(1(3(1(2(2(3(3(3(3(3(3(3(2(2(1(3(1(z0))))))))))))))))))
   3(c_0(c_0(c_1(c_3(c_2(c_2(c_1(c_3(c_3(c_0(c_1(c_2(c_1(c_0(c_3(c_1(c_2(z0)))))))))))))))))) -> 3(0(1(1(3(3(0(2(3(1(2(1(3(0(2(0(1(2(z0))))))))))))))))))
   3(c_2(c_1(c_0(c_1(c_0(c_1(c_3(c_0(c_1(c_2(c_3(c_0(c_0(c_1(c_3(c_0(c_1(z0)))))))))))))))))) -> 3(0(0(3(0(3(3(0(0(1(1(0(1(2(1(2(1(1(z0))))))))))))))))))
   3(c_0(c_1(c_0(c_2(c_1(c_0(c_0(c_0(c_0(c_1(c_1(c_3(c_2(c_2(c_3(c_0(c_1(z0)))))))))))))))))) -> 3(0(0(3(0(3(2(1(1(0(0(0(2(1(1(1(0(2(z0))))))))))))))))))
   3(c_3(c_2(c_2(c_3(c_0(c_1(c_3(c_3(c_3(c_0(c_0(c_0(c_2(c_0(c_2(c_3(c_0(z0)))))))))))))))))) -> 3(3(3(0(3(2(0(2(3(0(2(2(0(1(3(0(3(0(z0))))))))))))))))))
   3(c_2(c_0(c_1(c_2(c_3(c_2(c_2(c_1(c_3(c_0(c_3(c_3(c_1(c_3(c_3(c_2(c_2(z0)))))))))))))))))) -> 3(2(0(1(2(0(1(3(3(2(3(3(3(3(1(2(2(2(z0))))))))))))))))))
   3(c_1(c_0(c_3(c_2(c_1(c_0(c_3(c_0(c_2(c_3(c_2(c_3(c_0(c_1(c_3(c_3(c_2(z0)))))))))))))))))) -> 3(1(0(3(1(3(3(3(0(2(3(0(3(2(2(0(1(2(z0))))))))))))))))))
   3(c_3(c_1(c_3(c_0(c_2(c_3(c_3(c_3(c_1(c_0(c_0(c_2(c_2(c_0(c_2(c_0(c_1(z0)))))))))))))))))) -> 3(0(0(2(0(0(3(0(3(3(2(1(2(1(2(3(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_2(c_0(c_3(c_2(c_1(c_0(z0)))))))))))))))))) -> 3(3(1(0(0(2(1(1(1(2(3(1(1(2(0(0(3(0(z0))))))))))))))))))
   3(c_2(c_2(c_2(c_2(c_3(c_3(c_1(c_3(c_1(c_1(c_3(c_3(c_1(c_2(c_2(c_3(c_2(z0)))))))))))))))))) -> 3(2(3(2(3(1(2(3(1(2(3(3(2(3(2(1(1(2(z0))))))))))))))))))
Tuples:
   0'(c_2(c_3(c_3(c_2(c_1(c_3(c_0(c_1(c_3(c_1(c_3(c_3(c_0(c_2(c_1(c_0(c_1(z0)))))))))))))))))) -> c9(0'(2(3(3(0(3(1(0(2(3(1(0(3(3(2(1(1(1(z0)))))))))))))))))), 2'(3(3(0(3(1(0(2(3(1(0(3(3(2(1(1(1(z0))))))))))))))))), 3'(3(0(3(1(0(2(3(1(0(3(3(2(1(1(1(z0)))))))))))))))), 3'(0(3(1(0(2(3(1(0(3(3(2(1(1(1(z0))))))))))))))), 0'(3(1(0(2(3(1(0(3(3(2(1(1(1(z0)))))))))))))), 3'(1(0(2(3(1(0(3(3(2(1(1(1(z0))))))))))))), 1'(0(2(3(1(0(3(3(2(1(1(1(z0)))))))))))), 0'(2(3(1(0(3(3(2(1(1(1(z0))))))))))), 2'(3(1(0(3(3(2(1(1(1(z0)))))))))), 3'(1(0(3(3(2(1(1(1(z0))))))))), 1'(0(3(3(2(1(1(1(z0)))))))), 0'(3(3(2(1(1(1(z0))))))), 3'(3(2(1(1(1(z0)))))), 3'(2(1(1(1(z0))))), 2'(1(1(1(z0)))), 1'(1(1(z0))), 1'(1(z0)), 1'(z0))
   0'(c_3(c_1(c_0(c_2(c_2(c_1(c_0(c_1(c_1(c_0(c_0(c_3(c_1(c_2(c_2(c_3(c_0(z0)))))))))))))))))) -> c10(0'(3(1(1(0(3(2(0(2(1(2(2(0(3(1(1(0(0(z0)))))))))))))))))), 3'(1(1(0(3(2(0(2(1(2(2(0(3(1(1(0(0(z0))))))))))))))))), 1'(1(0(3(2(0(2(1(2(2(0(3(1(1(0(0(z0)))))))))))))))), 1'(0(3(2(0(2(1(2(2(0(3(1(1(0(0(z0))))))))))))))), 0'(3(2(0(2(1(2(2(0(3(1(1(0(0(z0)))))))))))))), 3'(2(0(2(1(2(2(0(3(1(1(0(0(z0))))))))))))), 2'(0(2(1(2(2(0(3(1(1(0(0(z0)))))))))))), 0'(2(1(2(2(0(3(1(1(0(0(z0))))))))))), 2'(1(2(2(0(3(1(1(0(0(z0)))))))))), 1'(2(2(0(3(1(1(0(0(z0))))))))), 2'(2(0(3(1(1(0(0(z0)))))))), 2'(0(3(1(1(0(0(z0))))))), 0'(3(1(1(0(0(z0)))))), 3'(1(1(0(0(z0))))), 1'(1(0(0(z0)))), 1'(0(0(z0))), 0'(0(z0)), 0'(z0))
   0'(c_1(c_0(c_3(c_2(c_2(c_3(c_2(c_0(c_1(c_1(c_1(c_1(c_0(c_1(c_0(c_1(c_1(z0)))))))))))))))))) -> c11(1'(2(3(1(1(0(0(1(1(3(0(0(2(0(2(1(1(1(z0)))))))))))))))))), 2'(3(1(1(0(0(1(1(3(0(0(2(0(2(1(1(1(z0))))))))))))))))), 3'(1(1(0(0(1(1(3(0(0(2(0(2(1(1(1(z0)))))))))))))))), 1'(1(0(0(1(1(3(0(0(2(0(2(1(1(1(z0))))))))))))))), 1'(0(0(1(1(3(0(0(2(0(2(1(1(1(z0)))))))))))))), 0'(0(1(1(3(0(0(2(0(2(1(1(1(z0))))))))))))), 0'(1(1(3(0(0(2(0(2(1(1(1(z0)))))))))))), 1'(1(3(0(0(2(0(2(1(1(1(z0))))))))))), 1'(3(0(0(2(0(2(1(1(1(z0)))))))))), 3'(0(0(2(0(2(1(1(1(z0))))))))), 0'(0(2(0(2(1(1(1(z0)))))))), 0'(2(0(2(1(1(1(z0))))))), 2'(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))
   0'(c_2(c_0(c_2(c_2(c_1(c_1(c_0(c_2(c_0(c_0(c_0(c_1(c_0(c_3(c_0(c_2(c_0(z0)))))))))))))))))) -> c12(0'(2(1(1(1(0(2(0(2(0(0(0(0(3(2(0(2(0(z0)))))))))))))))))), 2'(1(1(1(0(2(0(2(0(0(0(0(3(2(0(2(0(z0))))))))))))))))), 1'(1(1(0(2(0(2(0(0(0(0(3(2(0(2(0(z0)))))))))))))))), 1'(1(0(2(0(2(0(0(0(0(3(2(0(2(0(z0))))))))))))))), 1'(0(2(0(2(0(0(0(0(3(2(0(2(0(z0)))))))))))))), 0'(2(0(2(0(0(0(0(3(2(0(2(0(z0))))))))))))), 2'(0(2(0(0(0(0(3(2(0(2(0(z0)))))))))))), 0'(2(0(0(0(0(3(2(0(2(0(z0))))))))))), 2'(0(0(0(0(3(2(0(2(0(z0)))))))))), 0'(0(0(0(3(2(0(2(0(z0))))))))), 0'(0(0(3(2(0(2(0(z0)))))))), 0'(0(3(2(0(2(0(z0))))))), 0'(3(2(0(2(0(z0)))))), 3'(2(0(2(0(z0))))), 2'(0(2(0(z0)))), 0'(2(0(z0))), 2'(0(z0)), 0'(z0))
   0'(c_0(c_2(c_0(c_0(c_0(c_1(c_1(c_0(c_2(c_2(c_3(c_3(c_0(c_0(c_3(c_0(c_2(z0)))))))))))))))))) -> c13(0'(2(0(0(3(1(1(2(3(0(2(0(0(3(0(0(0(2(z0)))))))))))))))))), 2'(0(0(3(1(1(2(3(0(2(0(0(3(0(0(0(2(z0))))))))))))))))), 0'(0(3(1(1(2(3(0(2(0(0(3(0(0(0(2(z0)))))))))))))))), 0'(3(1(1(2(3(0(2(0(0(3(0(0(0(2(z0))))))))))))))), 3'(1(1(2(3(0(2(0(0(3(0(0(0(2(z0)))))))))))))), 1'(1(2(3(0(2(0(0(3(0(0(0(2(z0))))))))))))), 1'(2(3(0(2(0(0(3(0(0(0(2(z0)))))))))))), 2'(3(0(2(0(0(3(0(0(0(2(z0))))))))))), 3'(0(2(0(0(3(0(0(0(2(z0)))))))))), 0'(2(0(0(3(0(0(0(2(z0))))))))), 2'(0(0(3(0(0(0(2(z0)))))))), 0'(0(3(0(0(0(2(z0))))))), 0'(3(0(0(0(2(z0)))))), 3'(0(0(0(2(z0))))), 0'(0(0(2(z0)))), 0'(0(2(z0))), 0'(2(z0)), 2'(z0))
   0'(c_0(c_3(c_2(c_0(c_0(c_1(c_0(c_1(c_3(c_2(c_3(c_2(c_2(c_2(c_0(c_1(c_1(z0)))))))))))))))))) -> c14(2'(0(0(1(3(1(2(1(2(0(3(2(0(0(3(0(1(2(z0)))))))))))))))))), 0'(0(1(3(1(2(1(2(0(3(2(0(0(3(0(1(2(z0))))))))))))))))), 0'(1(3(1(2(1(2(0(3(2(0(0(3(0(1(2(z0)))))))))))))))), 1'(3(1(2(1(2(0(3(2(0(0(3(0(1(2(z0))))))))))))))), 3'(1(2(1(2(0(3(2(0(0(3(0(1(2(z0)))))))))))))), 1'(2(1(2(0(3(2(0(0(3(0(1(2(z0))))))))))))), 2'(1(2(0(3(2(0(0(3(0(1(2(z0)))))))))))), 1'(2(0(3(2(0(0(3(0(1(2(z0))))))))))), 2'(0(3(2(0(0(3(0(1(2(z0)))))))))), 0'(3(2(0(0(3(0(1(2(z0))))))))), 3'(2(0(0(3(0(1(2(z0)))))))), 2'(0(0(3(0(1(2(z0))))))), 0'(0(3(0(1(2(z0)))))), 0'(3(0(1(2(z0))))), 3'(0(1(2(z0)))), 0'(1(2(z0))), 1'(2(z0)), 2'(z0))
   0'(c_2(c_2(c_2(c_2(c_2(c_1(c_3(c_1(c_0(c_1(c_2(c_3(c_2(c_0(c_1(c_1(c_2(z0)))))))))))))))))) -> c15(2'(1(2(1(2(3(2(1(2(1(2(0(0(2(0(1(3(2(z0)))))))))))))))))), 1'(2(1(2(3(2(1(2(1(2(0(0(2(0(1(3(2(z0))))))))))))))))), 2'(1(2(3(2(1(2(1(2(0(0(2(0(1(3(2(z0)))))))))))))))), 1'(2(3(2(1(2(1(2(0(0(2(0(1(3(2(z0))))))))))))))), 2'(3(2(1(2(1(2(0(0(2(0(1(3(2(z0)))))))))))))), 3'(2(1(2(1(2(0(0(2(0(1(3(2(z0))))))))))))), 2'(1(2(1(2(0(0(2(0(1(3(2(z0)))))))))))), 1'(2(1(2(0(0(2(0(1(3(2(z0))))))))))), 2'(1(2(0(0(2(0(1(3(2(z0)))))))))), 1'(2(0(0(2(0(1(3(2(z0))))))))), 2'(0(0(2(0(1(3(2(z0)))))))), 0'(0(2(0(1(3(2(z0))))))), 0'(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))
   0'(c_0(c_2(c_1(c_0(c_0(c_1(c_0(c_1(c_0(c_3(c_1(c_3(c_3(c_2(c_0(c_1(c_1(z0)))))))))))))))))) -> c16(3'(0(0(2(0(1(1(0(2(0(3(1(0(1(0(3(1(1(z0)))))))))))))))))), 0'(0(2(0(1(1(0(2(0(3(1(0(1(0(3(1(1(z0))))))))))))))))), 0'(2(0(1(1(0(2(0(3(1(0(1(0(3(1(1(z0)))))))))))))))), 2'(0(1(1(0(2(0(3(1(0(1(0(3(1(1(z0))))))))))))))), 0'(1(1(0(2(0(3(1(0(1(0(3(1(1(z0)))))))))))))), 1'(1(0(2(0(3(1(0(1(0(3(1(1(z0))))))))))))), 1'(0(2(0(3(1(0(1(0(3(1(1(z0)))))))))))), 0'(2(0(3(1(0(1(0(3(1(1(z0))))))))))), 2'(0(3(1(0(1(0(3(1(1(z0)))))))))), 0'(3(1(0(1(0(3(1(1(z0))))))))), 3'(1(0(1(0(3(1(1(z0)))))))), 1'(0(1(0(3(1(1(z0))))))), 0'(1(0(3(1(1(z0)))))), 1'(0(3(1(1(z0))))), 0'(3(1(1(z0)))), 3'(1(1(z0))), 1'(1(z0)), 1'(z0))
   0'(c_0(c_0(c_1(c_3(c_2(c_2(c_3(c_0(c_2(c_2(c_0(c_1(c_0(c_0(c_0(c_1(c_2(z0)))))))))))))))))) -> c17(0'(3(0(0(3(0(2(1(2(1(0(0(1(2(0(2(0(2(z0)))))))))))))))))), 3'(0(0(3(0(2(1(2(1(0(0(1(2(0(2(0(2(z0))))))))))))))))), 0'(0(3(0(2(1(2(1(0(0(1(2(0(2(0(2(z0)))))))))))))))), 0'(3(0(2(1(2(1(0(0(1(2(0(2(0(2(z0))))))))))))))), 3'(0(2(1(2(1(0(0(1(2(0(2(0(2(z0)))))))))))))), 0'(2(1(2(1(0(0(1(2(0(2(0(2(z0))))))))))))), 2'(1(2(1(0(0(1(2(0(2(0(2(z0)))))))))))), 1'(2(1(0(0(1(2(0(2(0(2(z0))))))))))), 2'(1(0(0(1(2(0(2(0(2(z0)))))))))), 1'(0(0(1(2(0(2(0(2(z0))))))))), 0'(0(1(2(0(2(0(2(z0)))))))), 0'(1(2(0(2(0(2(z0))))))), 1'(2(0(2(0(2(z0)))))), 2'(0(2(0(2(z0))))), 0'(2(0(2(z0)))), 2'(0(2(z0))), 0'(2(z0)), 2'(z0))
   0'(c_2(c_2(c_1(c_3(c_0(c_0(c_1(c_3(c_0(c_1(c_0(c_3(c_3(c_2(c_0(c_1(c_3(z0)))))))))))))))))) -> c18(3'(0(1(3(3(0(0(0(0(2(1(2(0(3(1(2(1(3(z0)))))))))))))))))), 0'(1(3(3(0(0(0(0(2(1(2(0(3(1(2(1(3(z0))))))))))))))))), 1'(3(3(0(0(0(0(2(1(2(0(3(1(2(1(3(z0)))))))))))))))), 3'(3(0(0(0(0(2(1(2(0(3(1(2(1(3(z0))))))))))))))), 3'(0(0(0(0(2(1(2(0(3(1(2(1(3(z0)))))))))))))), 0'(0(0(0(2(1(2(0(3(1(2(1(3(z0))))))))))))), 0'(0(0(2(1(2(0(3(1(2(1(3(z0)))))))))))), 0'(0(2(1(2(0(3(1(2(1(3(z0))))))))))), 0'(2(1(2(0(3(1(2(1(3(z0)))))))))), 2'(1(2(0(3(1(2(1(3(z0))))))))), 1'(2(0(3(1(2(1(3(z0)))))))), 2'(0(3(1(2(1(3(z0))))))), 0'(3(1(2(1(3(z0)))))), 3'(1(2(1(3(z0))))), 1'(2(1(3(z0)))), 2'(1(3(z0))), 1'(3(z0)), 3'(z0))
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   3'(c_0(c_1(c_0(c_2(c_1(c_0(c_0(c_0(c_0(c_1(c_1(c_3(c_2(c_2(c_3(c_0(c_1(z0)))))))))))))))))) -> c85(3'(0(0(3(0(3(2(1(1(0(0(0(2(1(1(1(0(2(z0)))))))))))))))))), 0'(0(3(0(3(2(1(1(0(0(0(2(1(1(1(0(2(z0))))))))))))))))), 0'(3(0(3(2(1(1(0(0(0(2(1(1(1(0(2(z0)))))))))))))))), 3'(0(3(2(1(1(0(0(0(2(1(1(1(0(2(z0))))))))))))))), 0'(3(2(1(1(0(0(0(2(1(1(1(0(2(z0)))))))))))))), 3'(2(1(1(0(0(0(2(1(1(1(0(2(z0))))))))))))), 2'(1(1(0(0(0(2(1(1(1(0(2(z0)))))))))))), 1'(1(0(0(0(2(1(1(1(0(2(z0))))))))))), 1'(0(0(0(2(1(1(1(0(2(z0)))))))))), 0'(0(0(2(1(1(1(0(2(z0))))))))), 0'(0(2(1(1(1(0(2(z0)))))))), 0'(2(1(1(1(0(2(z0))))))), 2'(1(1(1(0(2(z0)))))), 1'(1(1(0(2(z0))))), 1'(1(0(2(z0)))), 1'(0(2(z0))), 0'(2(z0)), 2'(z0))
   3'(c_3(c_2(c_2(c_3(c_0(c_1(c_3(c_3(c_3(c_0(c_0(c_0(c_2(c_0(c_2(c_3(c_0(z0)))))))))))))))))) -> c86(3'(3(3(0(3(2(0(2(3(0(2(2(0(1(3(0(3(0(z0)))))))))))))))))), 3'(3(0(3(2(0(2(3(0(2(2(0(1(3(0(3(0(z0))))))))))))))))), 3'(0(3(2(0(2(3(0(2(2(0(1(3(0(3(0(z0)))))))))))))))), 0'(3(2(0(2(3(0(2(2(0(1(3(0(3(0(z0))))))))))))))), 3'(2(0(2(3(0(2(2(0(1(3(0(3(0(z0)))))))))))))), 2'(0(2(3(0(2(2(0(1(3(0(3(0(z0))))))))))))), 0'(2(3(0(2(2(0(1(3(0(3(0(z0)))))))))))), 2'(3(0(2(2(0(1(3(0(3(0(z0))))))))))), 3'(0(2(2(0(1(3(0(3(0(z0)))))))))), 0'(2(2(0(1(3(0(3(0(z0))))))))), 2'(2(0(1(3(0(3(0(z0)))))))), 2'(0(1(3(0(3(0(z0))))))), 0'(1(3(0(3(0(z0)))))), 1'(3(0(3(0(z0))))), 3'(0(3(0(z0)))), 0'(3(0(z0))), 3'(0(z0)), 0'(z0))
   3'(c_2(c_0(c_1(c_2(c_3(c_2(c_2(c_1(c_3(c_0(c_3(c_3(c_1(c_3(c_3(c_2(c_2(z0)))))))))))))))))) -> c87(3'(2(0(1(2(0(1(3(3(2(3(3(3(3(1(2(2(2(z0)))))))))))))))))), 2'(0(1(2(0(1(3(3(2(3(3(3(3(1(2(2(2(z0))))))))))))))))), 0'(1(2(0(1(3(3(2(3(3(3(3(1(2(2(2(z0)))))))))))))))), 1'(2(0(1(3(3(2(3(3(3(3(1(2(2(2(z0))))))))))))))), 2'(0(1(3(3(2(3(3(3(3(1(2(2(2(z0)))))))))))))), 0'(1(3(3(2(3(3(3(3(1(2(2(2(z0))))))))))))), 1'(3(3(2(3(3(3(3(1(2(2(2(z0)))))))))))), 3'(3(2(3(3(3(3(1(2(2(2(z0))))))))))), 3'(2(3(3(3(3(1(2(2(2(z0)))))))))), 2'(3(3(3(3(1(2(2(2(z0))))))))), 3'(3(3(3(1(2(2(2(z0)))))))), 3'(3(3(1(2(2(2(z0))))))), 3'(3(1(2(2(2(z0)))))), 3'(1(2(2(2(z0))))), 1'(2(2(2(z0)))), 2'(2(2(z0))), 2'(2(z0)), 2'(z0))
   3'(c_1(c_0(c_3(c_2(c_1(c_0(c_3(c_0(c_2(c_3(c_2(c_3(c_0(c_1(c_3(c_3(c_2(z0)))))))))))))))))) -> c88(3'(1(0(3(1(3(3(3(0(2(3(0(3(2(2(0(1(2(z0)))))))))))))))))), 1'(0(3(1(3(3(3(0(2(3(0(3(2(2(0(1(2(z0))))))))))))))))), 0'(3(1(3(3(3(0(2(3(0(3(2(2(0(1(2(z0)))))))))))))))), 3'(1(3(3(3(0(2(3(0(3(2(2(0(1(2(z0))))))))))))))), 1'(3(3(3(0(2(3(0(3(2(2(0(1(2(z0)))))))))))))), 3'(3(3(0(2(3(0(3(2(2(0(1(2(z0))))))))))))), 3'(3(0(2(3(0(3(2(2(0(1(2(z0)))))))))))), 3'(0(2(3(0(3(2(2(0(1(2(z0))))))))))), 0'(2(3(0(3(2(2(0(1(2(z0)))))))))), 2'(3(0(3(2(2(0(1(2(z0))))))))), 3'(0(3(2(2(0(1(2(z0)))))))), 0'(3(2(2(0(1(2(z0))))))), 3'(2(2(0(1(2(z0)))))), 2'(2(0(1(2(z0))))), 2'(0(1(2(z0)))), 0'(1(2(z0))), 1'(2(z0)), 2'(z0))
   3'(c_3(c_1(c_3(c_0(c_2(c_3(c_3(c_3(c_1(c_0(c_0(c_2(c_2(c_0(c_2(c_0(c_1(z0)))))))))))))))))) -> c89(3'(0(0(2(0(0(3(0(3(3(2(1(2(1(2(3(3(1(z0)))))))))))))))))), 0'(0(2(0(0(3(0(3(3(2(1(2(1(2(3(3(1(z0))))))))))))))))), 0'(2(0(0(3(0(3(3(2(1(2(1(2(3(3(1(z0)))))))))))))))), 2'(0(0(3(0(3(3(2(1(2(1(2(3(3(1(z0))))))))))))))), 0'(0(3(0(3(3(2(1(2(1(2(3(3(1(z0)))))))))))))), 0'(3(0(3(3(2(1(2(1(2(3(3(1(z0))))))))))))), 3'(0(3(3(2(1(2(1(2(3(3(1(z0)))))))))))), 0'(3(3(2(1(2(1(2(3(3(1(z0))))))))))), 3'(3(2(1(2(1(2(3(3(1(z0)))))))))), 3'(2(1(2(1(2(3(3(1(z0))))))))), 2'(1(2(1(2(3(3(1(z0)))))))), 1'(2(1(2(3(3(1(z0))))))), 2'(1(2(3(3(1(z0)))))), 1'(2(3(3(1(z0))))), 2'(3(3(1(z0)))), 3'(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_2(c_0(c_3(c_2(c_1(c_0(z0)))))))))))))))))) -> c90(3'(3(1(0(0(2(1(1(1(2(3(1(1(2(0(0(3(0(z0)))))))))))))))))), 3'(1(0(0(2(1(1(1(2(3(1(1(2(0(0(3(0(z0))))))))))))))))), 1'(0(0(2(1(1(1(2(3(1(1(2(0(0(3(0(z0)))))))))))))))), 0'(0(2(1(1(1(2(3(1(1(2(0(0(3(0(z0))))))))))))))), 0'(2(1(1(1(2(3(1(1(2(0(0(3(0(z0)))))))))))))), 2'(1(1(1(2(3(1(1(2(0(0(3(0(z0))))))))))))), 1'(1(1(2(3(1(1(2(0(0(3(0(z0)))))))))))), 1'(1(2(3(1(1(2(0(0(3(0(z0))))))))))), 1'(2(3(1(1(2(0(0(3(0(z0)))))))))), 2'(3(1(1(2(0(0(3(0(z0))))))))), 3'(1(1(2(0(0(3(0(z0)))))))), 1'(1(2(0(0(3(0(z0))))))), 1'(2(0(0(3(0(z0)))))), 2'(0(0(3(0(z0))))), 0'(0(3(0(z0)))), 0'(3(0(z0))), 3'(0(z0)), 0'(z0))
   3'(c_2(c_2(c_2(c_2(c_3(c_3(c_1(c_3(c_1(c_1(c_3(c_3(c_1(c_2(c_2(c_3(c_2(z0)))))))))))))))))) -> c91(3'(2(3(2(3(1(2(3(1(2(3(3(2(3(2(1(1(2(z0)))))))))))))))))), 2'(3(2(3(1(2(3(1(2(3(3(2(3(2(1(1(2(z0))))))))))))))))), 3'(2(3(1(2(3(1(2(3(3(2(3(2(1(1(2(z0)))))))))))))))), 2'(3(1(2(3(1(2(3(3(2(3(2(1(1(2(z0))))))))))))))), 3'(1(2(3(1(2(3(3(2(3(2(1(1(2(z0)))))))))))))), 1'(2(3(1(2(3(3(2(3(2(1(1(2(z0))))))))))))), 2'(3(1(2(3(3(2(3(2(1(1(2(z0)))))))))))), 3'(1(2(3(3(2(3(2(1(1(2(z0))))))))))), 1'(2(3(3(2(3(2(1(1(2(z0)))))))))), 2'(3(3(2(3(2(1(1(2(z0))))))))), 3'(3(2(3(2(1(1(2(z0)))))))), 3'(2(3(2(1(1(2(z0))))))), 2'(3(2(1(1(2(z0)))))), 3'(2(1(1(2(z0))))), 2'(1(1(2(z0)))), 1'(1(2(z0))), 1'(2(z0)), 2'(z0))
   ENCODE_0(z0) -> c8(0'(encArg(z0)))
   ENCODE_1(z0) -> c8(1'(encArg(z0)))
   ENCODE_3(z0) -> c8(3'(encArg(z0)))
   ENCODE_2(z0) -> c8(2'(encArg(z0)))
   ENCARG(cons_0(cons_0(z0))) -> c(0'(0(encArg(z0))), ENCARG(cons_0(z0)))
   ENCARG(cons_0(cons_1(z0))) -> c(0'(1(encArg(z0))), ENCARG(cons_1(z0)))
   ENCARG(cons_0(cons_2(z0))) -> c(0'(2(encArg(z0))), ENCARG(cons_2(z0)))
   ENCARG(cons_0(cons_3(z0))) -> c(0'(3(encArg(z0))), ENCARG(cons_3(z0)))
   ENCARG(cons_1(cons_0(z0))) -> c1(1'(0(encArg(z0))), ENCARG(cons_0(z0)))
   ENCARG(cons_1(cons_1(z0))) -> c1(1'(1(encArg(z0))), ENCARG(cons_1(z0)))
   ENCARG(cons_1(cons_2(z0))) -> c1(1'(2(encArg(z0))), ENCARG(cons_2(z0)))
   ENCARG(cons_1(cons_3(z0))) -> c1(1'(3(encArg(z0))), ENCARG(cons_3(z0)))
   ENCARG(cons_2(cons_0(z0))) -> c2(2'(0(encArg(z0))), ENCARG(cons_0(z0)))
   ENCARG(cons_2(cons_1(z0))) -> c2(2'(1(encArg(z0))), ENCARG(cons_1(z0)))
   ENCARG(cons_2(cons_2(z0))) -> c2(2'(2(encArg(z0))), ENCARG(cons_2(z0)))
   ENCARG(cons_2(cons_3(z0))) -> c2(2'(3(encArg(z0))), ENCARG(cons_3(z0)))
   ENCARG(cons_3(cons_0(z0))) -> c3(3'(0(encArg(z0))), ENCARG(cons_0(z0)))
   ENCARG(cons_3(cons_1(z0))) -> c3(3'(1(encArg(z0))), ENCARG(cons_1(z0)))
   ENCARG(cons_3(cons_2(z0))) -> c3(3'(2(encArg(z0))), ENCARG(cons_2(z0)))
   ENCARG(cons_3(cons_3(z0))) -> c3(3'(3(encArg(z0))), ENCARG(cons_3(z0)))
S tuples:
   0'(c_2(c_3(c_3(c_2(c_1(c_3(c_0(c_1(c_3(c_1(c_3(c_3(c_0(c_2(c_1(c_0(c_1(z0)))))))))))))))))) -> c9(0'(2(3(3(0(3(1(0(2(3(1(0(3(3(2(1(1(1(z0)))))))))))))))))), 2'(3(3(0(3(1(0(2(3(1(0(3(3(2(1(1(1(z0))))))))))))))))), 3'(3(0(3(1(0(2(3(1(0(3(3(2(1(1(1(z0)))))))))))))))), 3'(0(3(1(0(2(3(1(0(3(3(2(1(1(1(z0))))))))))))))), 0'(3(1(0(2(3(1(0(3(3(2(1(1(1(z0)))))))))))))), 3'(1(0(2(3(1(0(3(3(2(1(1(1(z0))))))))))))), 1'(0(2(3(1(0(3(3(2(1(1(1(z0)))))))))))), 0'(2(3(1(0(3(3(2(1(1(1(z0))))))))))), 2'(3(1(0(3(3(2(1(1(1(z0)))))))))), 3'(1(0(3(3(2(1(1(1(z0))))))))), 1'(0(3(3(2(1(1(1(z0)))))))), 0'(3(3(2(1(1(1(z0))))))), 3'(3(2(1(1(1(z0)))))), 3'(2(1(1(1(z0))))), 2'(1(1(1(z0)))), 1'(1(1(z0))), 1'(1(z0)), 1'(z0))
   0'(c_3(c_1(c_0(c_2(c_2(c_1(c_0(c_1(c_1(c_0(c_0(c_3(c_1(c_2(c_2(c_3(c_0(z0)))))))))))))))))) -> c10(0'(3(1(1(0(3(2(0(2(1(2(2(0(3(1(1(0(0(z0)))))))))))))))))), 3'(1(1(0(3(2(0(2(1(2(2(0(3(1(1(0(0(z0))))))))))))))))), 1'(1(0(3(2(0(2(1(2(2(0(3(1(1(0(0(z0)))))))))))))))), 1'(0(3(2(0(2(1(2(2(0(3(1(1(0(0(z0))))))))))))))), 0'(3(2(0(2(1(2(2(0(3(1(1(0(0(z0)))))))))))))), 3'(2(0(2(1(2(2(0(3(1(1(0(0(z0))))))))))))), 2'(0(2(1(2(2(0(3(1(1(0(0(z0)))))))))))), 0'(2(1(2(2(0(3(1(1(0(0(z0))))))))))), 2'(1(2(2(0(3(1(1(0(0(z0)))))))))), 1'(2(2(0(3(1(1(0(0(z0))))))))), 2'(2(0(3(1(1(0(0(z0)))))))), 2'(0(3(1(1(0(0(z0))))))), 0'(3(1(1(0(0(z0)))))), 3'(1(1(0(0(z0))))), 1'(1(0(0(z0)))), 1'(0(0(z0))), 0'(0(z0)), 0'(z0))
   0'(c_1(c_0(c_3(c_2(c_2(c_3(c_2(c_0(c_1(c_1(c_1(c_1(c_0(c_1(c_0(c_1(c_1(z0)))))))))))))))))) -> c11(1'(2(3(1(1(0(0(1(1(3(0(0(2(0(2(1(1(1(z0)))))))))))))))))), 2'(3(1(1(0(0(1(1(3(0(0(2(0(2(1(1(1(z0))))))))))))))))), 3'(1(1(0(0(1(1(3(0(0(2(0(2(1(1(1(z0)))))))))))))))), 1'(1(0(0(1(1(3(0(0(2(0(2(1(1(1(z0))))))))))))))), 1'(0(0(1(1(3(0(0(2(0(2(1(1(1(z0)))))))))))))), 0'(0(1(1(3(0(0(2(0(2(1(1(1(z0))))))))))))), 0'(1(1(3(0(0(2(0(2(1(1(1(z0)))))))))))), 1'(1(3(0(0(2(0(2(1(1(1(z0))))))))))), 1'(3(0(0(2(0(2(1(1(1(z0)))))))))), 3'(0(0(2(0(2(1(1(1(z0))))))))), 0'(0(2(0(2(1(1(1(z0)))))))), 0'(2(0(2(1(1(1(z0))))))), 2'(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))
   0'(c_2(c_0(c_2(c_2(c_1(c_1(c_0(c_2(c_0(c_0(c_0(c_1(c_0(c_3(c_0(c_2(c_0(z0)))))))))))))))))) -> c12(0'(2(1(1(1(0(2(0(2(0(0(0(0(3(2(0(2(0(z0)))))))))))))))))), 2'(1(1(1(0(2(0(2(0(0(0(0(3(2(0(2(0(z0))))))))))))))))), 1'(1(1(0(2(0(2(0(0(0(0(3(2(0(2(0(z0)))))))))))))))), 1'(1(0(2(0(2(0(0(0(0(3(2(0(2(0(z0))))))))))))))), 1'(0(2(0(2(0(0(0(0(3(2(0(2(0(z0)))))))))))))), 0'(2(0(2(0(0(0(0(3(2(0(2(0(z0))))))))))))), 2'(0(2(0(0(0(0(3(2(0(2(0(z0)))))))))))), 0'(2(0(0(0(0(3(2(0(2(0(z0))))))))))), 2'(0(0(0(0(3(2(0(2(0(z0)))))))))), 0'(0(0(0(3(2(0(2(0(z0))))))))), 0'(0(0(3(2(0(2(0(z0)))))))), 0'(0(3(2(0(2(0(z0))))))), 0'(3(2(0(2(0(z0)))))), 3'(2(0(2(0(z0))))), 2'(0(2(0(z0)))), 0'(2(0(z0))), 2'(0(z0)), 0'(z0))
   0'(c_0(c_2(c_0(c_0(c_0(c_1(c_1(c_0(c_2(c_2(c_3(c_3(c_0(c_0(c_3(c_0(c_2(z0)))))))))))))))))) -> c13(0'(2(0(0(3(1(1(2(3(0(2(0(0(3(0(0(0(2(z0)))))))))))))))))), 2'(0(0(3(1(1(2(3(0(2(0(0(3(0(0(0(2(z0))))))))))))))))), 0'(0(3(1(1(2(3(0(2(0(0(3(0(0(0(2(z0)))))))))))))))), 0'(3(1(1(2(3(0(2(0(0(3(0(0(0(2(z0))))))))))))))), 3'(1(1(2(3(0(2(0(0(3(0(0(0(2(z0)))))))))))))), 1'(1(2(3(0(2(0(0(3(0(0(0(2(z0))))))))))))), 1'(2(3(0(2(0(0(3(0(0(0(2(z0)))))))))))), 2'(3(0(2(0(0(3(0(0(0(2(z0))))))))))), 3'(0(2(0(0(3(0(0(0(2(z0)))))))))), 0'(2(0(0(3(0(0(0(2(z0))))))))), 2'(0(0(3(0(0(0(2(z0)))))))), 0'(0(3(0(0(0(2(z0))))))), 0'(3(0(0(0(2(z0)))))), 3'(0(0(0(2(z0))))), 0'(0(0(2(z0)))), 0'(0(2(z0))), 0'(2(z0)), 2'(z0))
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   3'(c_3(c_1(c_3(c_3(c_2(c_1(c_3(c_2(c_3(c_3(c_2(c_3(c_1(c_3(c_2(c_3(c_1(z0)))))))))))))))))) -> c82(3'(1(3(1(2(2(3(3(3(3(3(3(3(2(2(1(3(1(z0)))))))))))))))))), 1'(3(1(2(2(3(3(3(3(3(3(3(2(2(1(3(1(z0))))))))))))))))), 3'(1(2(2(3(3(3(3(3(3(3(2(2(1(3(1(z0)))))))))))))))), 1'(2(2(3(3(3(3(3(3(3(2(2(1(3(1(z0))))))))))))))), 2'(2(3(3(3(3(3(3(3(2(2(1(3(1(z0)))))))))))))), 2'(3(3(3(3(3(3(3(2(2(1(3(1(z0))))))))))))), 3'(3(3(3(3(3(3(2(2(1(3(1(z0)))))))))))), 3'(3(3(3(3(3(2(2(1(3(1(z0))))))))))), 3'(3(3(3(3(2(2(1(3(1(z0)))))))))), 3'(3(3(3(2(2(1(3(1(z0))))))))), 3'(3(3(2(2(1(3(1(z0)))))))), 3'(3(2(2(1(3(1(z0))))))), 3'(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))
   3'(c_0(c_0(c_1(c_3(c_2(c_2(c_1(c_3(c_3(c_0(c_1(c_2(c_1(c_0(c_3(c_1(c_2(z0)))))))))))))))))) -> c83(3'(0(1(1(3(3(0(2(3(1(2(1(3(0(2(0(1(2(z0)))))))))))))))))), 0'(1(1(3(3(0(2(3(1(2(1(3(0(2(0(1(2(z0))))))))))))))))), 1'(1(3(3(0(2(3(1(2(1(3(0(2(0(1(2(z0)))))))))))))))), 1'(3(3(0(2(3(1(2(1(3(0(2(0(1(2(z0))))))))))))))), 3'(3(0(2(3(1(2(1(3(0(2(0(1(2(z0)))))))))))))), 3'(0(2(3(1(2(1(3(0(2(0(1(2(z0))))))))))))), 0'(2(3(1(2(1(3(0(2(0(1(2(z0)))))))))))), 2'(3(1(2(1(3(0(2(0(1(2(z0))))))))))), 3'(1(2(1(3(0(2(0(1(2(z0)))))))))), 1'(2(1(3(0(2(0(1(2(z0))))))))), 2'(1(3(0(2(0(1(2(z0)))))))), 1'(3(0(2(0(1(2(z0))))))), 3'(0(2(0(1(2(z0)))))), 0'(2(0(1(2(z0))))), 2'(0(1(2(z0)))), 0'(1(2(z0))), 1'(2(z0)), 2'(z0))
   3'(c_2(c_1(c_0(c_1(c_0(c_1(c_3(c_0(c_1(c_2(c_3(c_0(c_0(c_1(c_3(c_0(c_1(z0)))))))))))))))))) -> c84(3'(0(0(3(0(3(3(0(0(1(1(0(1(2(1(2(1(1(z0)))))))))))))))))), 0'(0(3(0(3(3(0(0(1(1(0(1(2(1(2(1(1(z0))))))))))))))))), 0'(3(0(3(3(0(0(1(1(0(1(2(1(2(1(1(z0)))))))))))))))), 3'(0(3(3(0(0(1(1(0(1(2(1(2(1(1(z0))))))))))))))), 0'(3(3(0(0(1(1(0(1(2(1(2(1(1(z0)))))))))))))), 3'(3(0(0(1(1(0(1(2(1(2(1(1(z0))))))))))))), 3'(0(0(1(1(0(1(2(1(2(1(1(z0)))))))))))), 0'(0(1(1(0(1(2(1(2(1(1(z0))))))))))), 0'(1(1(0(1(2(1(2(1(1(z0)))))))))), 1'(1(0(1(2(1(2(1(1(z0))))))))), 1'(0(1(2(1(2(1(1(z0)))))))), 0'(1(2(1(2(1(1(z0))))))), 1'(2(1(2(1(1(z0)))))), 2'(1(2(1(1(z0))))), 1'(2(1(1(z0)))), 2'(1(1(z0))), 1'(1(z0)), 1'(z0))
   3'(c_0(c_1(c_0(c_2(c_1(c_0(c_0(c_0(c_0(c_1(c_1(c_3(c_2(c_2(c_3(c_0(c_1(z0)))))))))))))))))) -> c85(3'(0(0(3(0(3(2(1(1(0(0(0(2(1(1(1(0(2(z0)))))))))))))))))), 0'(0(3(0(3(2(1(1(0(0(0(2(1(1(1(0(2(z0))))))))))))))))), 0'(3(0(3(2(1(1(0(0(0(2(1(1(1(0(2(z0)))))))))))))))), 3'(0(3(2(1(1(0(0(0(2(1(1(1(0(2(z0))))))))))))))), 0'(3(2(1(1(0(0(0(2(1(1(1(0(2(z0)))))))))))))), 3'(2(1(1(0(0(0(2(1(1(1(0(2(z0))))))))))))), 2'(1(1(0(0(0(2(1(1(1(0(2(z0)))))))))))), 1'(1(0(0(0(2(1(1(1(0(2(z0))))))))))), 1'(0(0(0(2(1(1(1(0(2(z0)))))))))), 0'(0(0(2(1(1(1(0(2(z0))))))))), 0'(0(2(1(1(1(0(2(z0)))))))), 0'(2(1(1(1(0(2(z0))))))), 2'(1(1(1(0(2(z0)))))), 1'(1(1(0(2(z0))))), 1'(1(0(2(z0)))), 1'(0(2(z0))), 0'(2(z0)), 2'(z0))
   3'(c_3(c_2(c_2(c_3(c_0(c_1(c_3(c_3(c_3(c_0(c_0(c_0(c_2(c_0(c_2(c_3(c_0(z0)))))))))))))))))) -> c86(3'(3(3(0(3(2(0(2(3(0(2(2(0(1(3(0(3(0(z0)))))))))))))))))), 3'(3(0(3(2(0(2(3(0(2(2(0(1(3(0(3(0(z0))))))))))))))))), 3'(0(3(2(0(2(3(0(2(2(0(1(3(0(3(0(z0)))))))))))))))), 0'(3(2(0(2(3(0(2(2(0(1(3(0(3(0(z0))))))))))))))), 3'(2(0(2(3(0(2(2(0(1(3(0(3(0(z0)))))))))))))), 2'(0(2(3(0(2(2(0(1(3(0(3(0(z0))))))))))))), 0'(2(3(0(2(2(0(1(3(0(3(0(z0)))))))))))), 2'(3(0(2(2(0(1(3(0(3(0(z0))))))))))), 3'(0(2(2(0(1(3(0(3(0(z0)))))))))), 0'(2(2(0(1(3(0(3(0(z0))))))))), 2'(2(0(1(3(0(3(0(z0)))))))), 2'(0(1(3(0(3(0(z0))))))), 0'(1(3(0(3(0(z0)))))), 1'(3(0(3(0(z0))))), 3'(0(3(0(z0)))), 0'(3(0(z0))), 3'(0(z0)), 0'(z0))
   3'(c_2(c_0(c_1(c_2(c_3(c_2(c_2(c_1(c_3(c_0(c_3(c_3(c_1(c_3(c_3(c_2(c_2(z0)))))))))))))))))) -> c87(3'(2(0(1(2(0(1(3(3(2(3(3(3(3(1(2(2(2(z0)))))))))))))))))), 2'(0(1(2(0(1(3(3(2(3(3(3(3(1(2(2(2(z0))))))))))))))))), 0'(1(2(0(1(3(3(2(3(3(3(3(1(2(2(2(z0)))))))))))))))), 1'(2(0(1(3(3(2(3(3(3(3(1(2(2(2(z0))))))))))))))), 2'(0(1(3(3(2(3(3(3(3(1(2(2(2(z0)))))))))))))), 0'(1(3(3(2(3(3(3(3(1(2(2(2(z0))))))))))))), 1'(3(3(2(3(3(3(3(1(2(2(2(z0)))))))))))), 3'(3(2(3(3(3(3(1(2(2(2(z0))))))))))), 3'(2(3(3(3(3(1(2(2(2(z0)))))))))), 2'(3(3(3(3(1(2(2(2(z0))))))))), 3'(3(3(3(1(2(2(2(z0)))))))), 3'(3(3(1(2(2(2(z0))))))), 3'(3(1(2(2(2(z0)))))), 3'(1(2(2(2(z0))))), 1'(2(2(2(z0)))), 2'(2(2(z0))), 2'(2(z0)), 2'(z0))
   3'(c_1(c_0(c_3(c_2(c_1(c_0(c_3(c_0(c_2(c_3(c_2(c_3(c_0(c_1(c_3(c_3(c_2(z0)))))))))))))))))) -> c88(3'(1(0(3(1(3(3(3(0(2(3(0(3(2(2(0(1(2(z0)))))))))))))))))), 1'(0(3(1(3(3(3(0(2(3(0(3(2(2(0(1(2(z0))))))))))))))))), 0'(3(1(3(3(3(0(2(3(0(3(2(2(0(1(2(z0)))))))))))))))), 3'(1(3(3(3(0(2(3(0(3(2(2(0(1(2(z0))))))))))))))), 1'(3(3(3(0(2(3(0(3(2(2(0(1(2(z0)))))))))))))), 3'(3(3(0(2(3(0(3(2(2(0(1(2(z0))))))))))))), 3'(3(0(2(3(0(3(2(2(0(1(2(z0)))))))))))), 3'(0(2(3(0(3(2(2(0(1(2(z0))))))))))), 0'(2(3(0(3(2(2(0(1(2(z0)))))))))), 2'(3(0(3(2(2(0(1(2(z0))))))))), 3'(0(3(2(2(0(1(2(z0)))))))), 0'(3(2(2(0(1(2(z0))))))), 3'(2(2(0(1(2(z0)))))), 2'(2(0(1(2(z0))))), 2'(0(1(2(z0)))), 0'(1(2(z0))), 1'(2(z0)), 2'(z0))
   3'(c_3(c_1(c_3(c_0(c_2(c_3(c_3(c_3(c_1(c_0(c_0(c_2(c_2(c_0(c_2(c_0(c_1(z0)))))))))))))))))) -> c89(3'(0(0(2(0(0(3(0(3(3(2(1(2(1(2(3(3(1(z0)))))))))))))))))), 0'(0(2(0(0(3(0(3(3(2(1(2(1(2(3(3(1(z0))))))))))))))))), 0'(2(0(0(3(0(3(3(2(1(2(1(2(3(3(1(z0)))))))))))))))), 2'(0(0(3(0(3(3(2(1(2(1(2(3(3(1(z0))))))))))))))), 0'(0(3(0(3(3(2(1(2(1(2(3(3(1(z0)))))))))))))), 0'(3(0(3(3(2(1(2(1(2(3(3(1(z0))))))))))))), 3'(0(3(3(2(1(2(1(2(3(3(1(z0)))))))))))), 0'(3(3(2(1(2(1(2(3(3(1(z0))))))))))), 3'(3(2(1(2(1(2(3(3(1(z0)))))))))), 3'(2(1(2(1(2(3(3(1(z0))))))))), 2'(1(2(1(2(3(3(1(z0)))))))), 1'(2(1(2(3(3(1(z0))))))), 2'(1(2(3(3(1(z0)))))), 1'(2(3(3(1(z0))))), 2'(3(3(1(z0)))), 3'(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_2(c_0(c_3(c_2(c_1(c_0(z0)))))))))))))))))) -> c90(3'(3(1(0(0(2(1(1(1(2(3(1(1(2(0(0(3(0(z0)))))))))))))))))), 3'(1(0(0(2(1(1(1(2(3(1(1(2(0(0(3(0(z0))))))))))))))))), 1'(0(0(2(1(1(1(2(3(1(1(2(0(0(3(0(z0)))))))))))))))), 0'(0(2(1(1(1(2(3(1(1(2(0(0(3(0(z0))))))))))))))), 0'(2(1(1(1(2(3(1(1(2(0(0(3(0(z0)))))))))))))), 2'(1(1(1(2(3(1(1(2(0(0(3(0(z0))))))))))))), 1'(1(1(2(3(1(1(2(0(0(3(0(z0)))))))))))), 1'(1(2(3(1(1(2(0(0(3(0(z0))))))))))), 1'(2(3(1(1(2(0(0(3(0(z0)))))))))), 2'(3(1(1(2(0(0(3(0(z0))))))))), 3'(1(1(2(0(0(3(0(z0)))))))), 1'(1(2(0(0(3(0(z0))))))), 1'(2(0(0(3(0(z0)))))), 2'(0(0(3(0(z0))))), 0'(0(3(0(z0)))), 0'(3(0(z0))), 3'(0(z0)), 0'(z0))
   3'(c_2(c_2(c_2(c_2(c_3(c_3(c_1(c_3(c_1(c_1(c_3(c_3(c_1(c_2(c_2(c_3(c_2(z0)))))))))))))))))) -> c91(3'(2(3(2(3(1(2(3(1(2(3(3(2(3(2(1(1(2(z0)))))))))))))))))), 2'(3(2(3(1(2(3(1(2(3(3(2(3(2(1(1(2(z0))))))))))))))))), 3'(2(3(1(2(3(1(2(3(3(2(3(2(1(1(2(z0)))))))))))))))), 2'(3(1(2(3(1(2(3(3(2(3(2(1(1(2(z0))))))))))))))), 3'(1(2(3(1(2(3(3(2(3(2(1(1(2(z0)))))))))))))), 1'(2(3(1(2(3(3(2(3(2(1(1(2(z0))))))))))))), 2'(3(1(2(3(3(2(3(2(1(1(2(z0)))))))))))), 3'(1(2(3(3(2(3(2(1(1(2(z0))))))))))), 1'(2(3(3(2(3(2(1(1(2(z0)))))))))), 2'(3(3(2(3(2(1(1(2(z0))))))))), 3'(3(2(3(2(1(1(2(z0)))))))), 3'(2(3(2(1(1(2(z0))))))), 2'(3(2(1(1(2(z0)))))), 3'(2(1(1(2(z0))))), 2'(1(1(2(z0)))), 1'(1(2(z0))), 1'(2(z0)), 2'(z0))
K tuples:none
Defined Rule Symbols:   encArg_1, 0_1, 1_1, 2_1, 3_1

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

Compound Symbols:   c9_18, c10_18, c11_18, c12_18, c13_18, c14_18, c15_18, c16_18, c17_18, c18_18, c19_18, c20_18, c21_18, c22_18, c23_18, c24_18, c25_18, c26_18, c27_18, c28_18, c29_18, c30_18, c31_18, c32_18, c33_18, c35_18, c36_18, c37_18, c38_18, c39_18, c40_18, c41_18, c42_18, c43_18, c44_18, c45_18, c46_18, c47_18, c48_18, c49_18, c50_18, c51_18, c52_18, c53_18, c54_18, c55_18, c57_18, c58_18, c59_18, c60_18, c61_18, c62_18, c63_18, c64_18, c65_18, c67_18, c68_18, c69_18, c70_18, c71_18, c72_18, c73_18, c74_18, c75_18, c76_18, c77_18, c78_18, c79_18, c80_18, c81_18, c82_18, c83_18, c84_18, c85_18, c86_18, c87_18, c88_18, c89_18, c90_18, c91_18, c8_1, c_2, c1_2, c2_2, c3_2


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

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

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

(56)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(cons_0(z0)) -> 0(encArg(z0))
   encArg(cons_1(z0)) -> 1(encArg(z0))
   encArg(cons_2(z0)) -> 2(encArg(z0))
   encArg(cons_3(z0)) -> 3(encArg(z0))
   0(z0) -> c_0(z0)
   0(c_2(c_3(c_3(c_2(c_1(c_3(c_0(c_1(c_3(c_1(c_3(c_3(c_0(c_2(c_1(c_0(c_1(z0)))))))))))))))))) -> 0(2(3(3(0(3(1(0(2(3(1(0(3(3(2(1(1(1(z0))))))))))))))))))
   0(c_3(c_1(c_0(c_2(c_2(c_1(c_0(c_1(c_1(c_0(c_0(c_3(c_1(c_2(c_2(c_3(c_0(z0)))))))))))))))))) -> 0(3(1(1(0(3(2(0(2(1(2(2(0(3(1(1(0(0(z0))))))))))))))))))
   0(c_1(c_0(c_3(c_2(c_2(c_3(c_2(c_0(c_1(c_1(c_1(c_1(c_0(c_1(c_0(c_1(c_1(z0)))))))))))))))))) -> 1(2(3(1(1(0(0(1(1(3(0(0(2(0(2(1(1(1(z0))))))))))))))))))
   0(c_2(c_0(c_2(c_2(c_1(c_1(c_0(c_2(c_0(c_0(c_0(c_1(c_0(c_3(c_0(c_2(c_0(z0)))))))))))))))))) -> 0(2(1(1(1(0(2(0(2(0(0(0(0(3(2(0(2(0(z0))))))))))))))))))
   0(c_0(c_2(c_0(c_0(c_0(c_1(c_1(c_0(c_2(c_2(c_3(c_3(c_0(c_0(c_3(c_0(c_2(z0)))))))))))))))))) -> 0(2(0(0(3(1(1(2(3(0(2(0(0(3(0(0(0(2(z0))))))))))))))))))
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   0(c_1(c_1(c_0(c_0(c_2(c_2(c_0(c_3(c_2(c_1(c_0(c_3(c_1(c_1(c_0(c_2(c_2(z0)))))))))))))))))) -> 0(0(0(2(1(2(0(1(1(2(1(0(3(3(1(0(2(2(z0))))))))))))))))))
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   0(c_2(c_2(c_2(c_3(c_3(c_0(c_1(c_3(c_1(c_1(c_1(c_0(c_1(c_3(c_2(c_0(c_2(z0)))))))))))))))))) -> 2(1(1(0(3(3(0(1(3(1(2(3(2(0(1(2(0(2(z0))))))))))))))))))
   0(c_0(c_1(c_3(c_2(c_1(c_0(c_1(c_2(c_2(c_1(c_1(c_1(c_1(c_2(c_3(c_2(c_2(z0)))))))))))))))))) -> 0(1(1(1(2(1(2(1(3(2(3(0(1(2(0(1(2(2(z0))))))))))))))))))
   0(c_2(c_2(c_0(c_3(c_1(c_3(c_1(c_3(c_3(c_1(c_2(c_1(c_0(c_0(c_2(c_0(c_1(z0)))))))))))))))))) -> 0(2(0(1(1(2(3(3(1(1(3(0(2(0(2(0(3(1(z0))))))))))))))))))
   0(c_2(c_3(c_1(c_3(c_2(c_3(c_1(c_1(c_0(c_2(c_3(c_2(c_1(c_0(c_0(c_1(c_2(z0)))))))))))))))))) -> 0(2(3(3(2(3(2(0(1(2(0(1(1(1(0(3(1(2(z0))))))))))))))))))
   0(c_2(c_3(c_2(c_1(c_1(c_3(c_3(c_1(c_3(c_0(c_1(c_0(c_1(c_1(c_3(c_2(c_1(z0)))))))))))))))))) -> 0(2(3(1(2(1(1(1(2(0(3(3(3(3(0(1(1(1(z0))))))))))))))))))
   0(c_0(c_1(c_1(c_3(c_2(c_3(c_2(c_3(c_2(c_0(c_0(c_2(c_3(c_2(c_3(c_1(c_0(z0)))))))))))))))))) -> 2(3(0(2(1(2(3(1(2(3(0(3(3(1(0(2(0(0(z0))))))))))))))))))
   0(c_0(c_2(c_0(c_3(c_2(c_2(c_3(c_3(c_1(c_3(c_2(c_1(c_1(c_3(c_0(c_0(c_1(z0)))))))))))))))))) -> 0(0(3(1(1(0(3(2(2(0(2(3(3(1(2(3(0(1(z0))))))))))))))))))
   0(c_3(c_1(c_0(c_0(c_3(c_0(c_0(c_1(c_0(c_3(c_2(c_1(c_3(c_0(c_0(c_1(c_2(z0)))))))))))))))))) -> 0(0(3(1(1(3(1(0(0(2(1(0(3(0(0(0(3(2(z0))))))))))))))))))
   0(c_3(c_0(c_1(c_3(c_1(c_3(c_2(c_0(c_1(c_0(c_1(c_0(c_0(c_3(c_1(c_1(c_3(z0)))))))))))))))))) -> 0(3(2(0(3(1(3(1(1(0(3(0(0(1(0(1(1(3(z0))))))))))))))))))
   0(c_0(c_3(c_3(c_1(c_3(c_3(c_0(c_1(c_3(c_2(c_3(c_3(c_3(c_0(c_3(c_3(c_3(z0)))))))))))))))))) -> 0(3(0(3(3(1(3(0(3(3(3(1(3(0(3(2(3(3(z0))))))))))))))))))
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   1(z0) -> c_1(z0)
   1(c_0(c_0(c_0(c_3(c_0(c_2(c_3(c_1(c_2(c_3(c_1(c_1(c_2(c_2(c_2(c_2(c_3(z0)))))))))))))))))) -> 1(3(0(2(1(2(0(1(2(0(0(2(2(1(3(3(2(3(z0))))))))))))))))))
   1(c_3(c_1(c_3(c_2(c_2(c_0(c_0(c_0(c_0(c_1(c_3(c_2(c_0(c_1(c_3(c_3(c_0(z0)))))))))))))))))) -> 1(2(0(0(0(0(0(3(1(3(3(3(2(1(2(3(1(0(z0))))))))))))))))))
   1(c_1(c_2(c_0(c_2(c_2(c_1(c_2(c_3(c_2(c_3(c_1(c_0(c_0(c_1(c_3(c_0(c_2(z0)))))))))))))))))) -> 1(2(2(1(1(2(0(3(1(0(3(1(0(2(2(3(0(2(z0))))))))))))))))))
   1(c_0(c_3(c_2(c_3(c_2(c_2(c_0(c_3(c_2(c_2(c_1(c_1(c_0(c_3(c_2(c_3(c_3(z0)))))))))))))))))) -> 1(2(3(0(2(2(3(0(2(3(2(1(3(1(2(0(3(3(z0))))))))))))))))))
   1(c_1(c_0(c_1(c_1(c_3(c_2(c_0(c_2(c_1(c_2(c_2(c_1(c_2(c_3(c_1(c_1(c_1(z0)))))))))))))))))) -> 1(1(0(3(2(3(1(2(1(2(0(2(2(1(1(1(1(1(z0))))))))))))))))))
   1(c_3(c_2(c_3(c_0(c_3(c_3(c_3(c_1(c_3(c_3(c_1(c_3(c_3(c_3(c_2(c_2(c_0(z0)))))))))))))))))) -> 1(3(3(3(1(1(0(2(3(3(3(3(3(2(0(3(2(3(z0))))))))))))))))))
   1(c_3(c_3(c_1(c_1(c_3(c_0(c_2(c_0(c_1(c_3(c_1(c_3(c_0(c_3(c_2(c_2(c_1(z0)))))))))))))))))) -> 1(3(3(3(0(1(1(2(0(3(1(1(2(3(3(0(2(1(z0))))))))))))))))))
   1(c_0(c_0(c_0(c_1(c_3(c_2(c_2(c_2(c_2(c_2(c_3(c_1(c_3(c_1(c_1(c_1(c_1(z0)))))))))))))))))) -> 1(2(1(1(3(2(0(1(0(2(1(0(2(3(1(2(3(1(z0))))))))))))))))))
   1(c_1(c_0(c_0(c_3(c_2(c_2(c_2(c_2(c_0(c_3(c_2(c_2(c_0(c_0(c_1(c_0(c_0(z0)))))))))))))))))) -> 1(3(3(0(0(2(0(1(2(2(2(0(2(1(0(2(0(0(z0))))))))))))))))))
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   1(c_0(c_1(c_1(c_3(c_2(c_1(c_1(c_0(c_0(c_0(c_1(c_3(c_0(c_0(c_0(c_1(c_0(z0)))))))))))))))))) -> 1(3(1(1(1(0(1(3(0(0(0(0(1(1(0(0(2(0(z0))))))))))))))))))
   1(c_0(c_2(c_3(c_0(c_1(c_0(c_2(c_0(c_1(c_0(c_3(c_1(c_2(c_2(c_2(c_3(c_1(z0)))))))))))))))))) -> 1(0(3(0(0(0(2(2(3(3(1(2(0(1(2(1(2(1(z0))))))))))))))))))
   1(c_2(c_2(c_1(c_2(c_2(c_1(c_0(c_1(c_2(c_1(c_1(c_0(c_2(c_3(c_2(c_2(c_0(z0)))))))))))))))))) -> 1(2(1(2(2(1(2(1(0(1(2(2(0(2(3(1(2(0(z0))))))))))))))))))
   1(c_1(c_1(c_0(c_1(c_1(c_3(c_2(c_3(c_0(c_0(c_3(c_3(c_3(c_2(c_2(c_2(c_1(z0)))))))))))))))))) -> 1(0(3(0(0(3(3(1(2(3(1(2(1(1(2(3(1(2(z0))))))))))))))))))
   1(c_1(c_3(c_3(c_2(c_1(c_1(c_1(c_3(c_3(c_1(c_1(c_0(c_2(c_0(c_2(c_1(c_2(z0)))))))))))))))))) -> 1(1(2(3(1(3(0(1(1(1(2(3(0(2(3(1(1(2(z0))))))))))))))))))
   1(c_0(c_3(c_0(c_2(c_0(c_3(c_0(c_1(c_1(c_2(c_3(c_0(c_1(c_3(c_2(c_0(c_3(z0)))))))))))))))))) -> 1(0(2(1(0(1(0(2(0(3(3(3(1(2(0(0(3(3(z0))))))))))))))))))
   1(c_1(c_1(c_0(c_1(c_1(c_2(c_2(c_2(c_1(c_0(c_1(c_1(c_1(c_3(c_3(c_0(c_3(z0)))))))))))))))))) -> 1(2(0(3(1(1(1(0(1(2(1(2(1(1(1(3(0(3(z0))))))))))))))))))
   1(c_0(c_1(c_3(c_2(c_0(c_2(c_1(c_3(c_3(c_2(c_1(c_3(c_2(c_2(c_0(c_1(c_2(z0)))))))))))))))))) -> 1(3(1(2(1(3(3(1(0(0(0(2(1(3(2(2(2(2(z0))))))))))))))))))
   1(c_1(c_3(c_3(c_1(c_0(c_2(c_3(c_2(c_1(c_3(c_2(c_0(c_1(c_1(c_1(c_1(c_1(z0)))))))))))))))))) -> 1(3(1(1(1(1(1(2(1(1(3(0(3(3(0(2(2(1(z0))))))))))))))))))
   1(c_3(c_0(c_1(c_3(c_2(c_2(c_2(c_2(c_1(c_0(c_0(c_1(c_2(c_2(c_0(c_0(c_1(z0)))))))))))))))))) -> 1(2(2(1(1(2(1(2(0(0(3(1(2(0(0(0(3(2(z0))))))))))))))))))
   1(c_3(c_1(c_2(c_2(c_2(c_1(c_3(c_3(c_0(c_1(c_1(c_0(c_0(c_2(c_2(c_3(c_2(z0)))))))))))))))))) -> 1(2(2(3(0(2(3(0(3(2(3(1(1(0(1(2(1(2(z0))))))))))))))))))
   2(z0) -> c_2(z0)
   2(c_0(c_2(c_2(c_3(c_2(c_0(c_2(c_0(c_1(c_1(c_3(c_1(c_3(c_3(c_3(c_2(c_0(z0)))))))))))))))))) -> 2(3(1(2(1(2(0(2(2(1(0(0(3(3(2(0(3(3(z0))))))))))))))))))
   2(c_1(c_0(c_0(c_2(c_2(c_2(c_0(c_1(c_3(c_1(c_3(c_2(c_3(c_2(c_1(c_1(c_2(z0)))))))))))))))))) -> 2(2(0(0(3(0(2(2(1(2(3(1(2(3(1(1(1(2(z0))))))))))))))))))
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   2(c_3(c_1(c_0(c_0(c_3(c_1(c_0(c_1(c_3(c_0(c_1(c_2(c_2(c_2(c_2(c_0(c_2(z0)))))))))))))))))) -> 2(0(2(0(0(1(1(2(3(1(1(0(2(3(2(3(0(2(z0))))))))))))))))))
   2(c_1(c_3(c_3(c_2(c_1(c_2(c_3(c_1(c_3(c_3(c_1(c_2(c_1(c_2(c_2(c_0(c_3(z0)))))))))))))))))) -> 2(2(1(1(1(2(2(2(1(2(1(0(3(3(3(3(3(3(z0))))))))))))))))))
   2(c_1(c_0(c_2(c_1(c_0(c_0(c_1(c_1(c_2(c_2(c_2(c_2(c_2(c_2(c_2(c_2(c_1(z0)))))))))))))))))) -> 2(0(0(1(2(2(2(1(2(2(2(0(1(2(1(2(2(1(z0))))))))))))))))))
   2(c_3(c_0(c_1(c_0(c_0(c_3(c_1(c_0(c_3(c_2(c_3(c_2(c_2(c_2(c_3(c_3(c_2(z0)))))))))))))))))) -> 2(3(2(3(0(0(2(2(2(1(1(0(3(2(0(3(3(3(z0))))))))))))))))))
   2(c_2(c_3(c_1(c_0(c_3(c_2(c_2(c_2(c_2(c_3(c_1(c_3(c_3(c_0(c_2(c_3(c_2(z0)))))))))))))))))) -> 2(2(3(0(3(1(2(3(3(3(0(2(1(2(2(3(2(2(z0))))))))))))))))))
   2(c_1(c_1(c_3(c_2(c_0(c_0(c_0(c_2(c_1(c_0(c_2(c_2(c_3(c_2(c_3(c_2(c_0(z0)))))))))))))))))) -> 2(0(0(2(0(2(2(1(2(1(2(3(0(3(2(3(1(0(z0))))))))))))))))))
   3(z0) -> c_3(z0)
   3(c_3(c_1(c_2(c_1(c_3(c_2(c_2(c_1(c_2(c_1(c_2(c_2(c_0(c_3(c_2(c_1(c_0(z0)))))))))))))))))) -> 3(0(2(1(2(1(2(2(3(1(2(0(2(1(1(2(3(3(z0))))))))))))))))))
   3(c_3(c_0(c_2(c_0(c_1(c_3(c_1(c_0(c_2(c_2(c_2(c_2(c_0(c_3(c_3(c_1(c_0(z0)))))))))))))))))) -> 3(3(2(0(3(1(0(2(1(2(3(0(1(0(2(3(2(0(z0))))))))))))))))))
   3(c_1(c_0(c_2(c_1(c_0(c_1(c_0(c_1(c_0(c_2(c_2(c_0(c_2(c_3(c_3(c_2(c_2(z0)))))))))))))))))) -> 0(3(0(0(0(2(3(2(1(3(0(2(2(1(1(1(2(2(z0))))))))))))))))))
   3(c_0(c_1(c_0(c_2(c_3(c_2(c_0(c_1(c_0(c_1(c_2(c_3(c_1(c_2(c_0(c_1(c_2(z0)))))))))))))))))) -> 3(0(1(1(1(1(2(2(3(0(1(2(0(3(0(2(0(2(z0))))))))))))))))))
   3(c_2(c_0(c_3(c_0(c_1(c_1(c_0(c_2(c_3(c_0(c_3(c_0(c_0(c_1(c_0(c_2(c_0(z0)))))))))))))))))) -> 3(2(0(0(1(1(1(0(0(3(3(2(3(0(0(0(2(0(z0))))))))))))))))))
   3(c_2(c_2(c_0(c_2(c_3(c_0(c_1(c_0(c_3(c_1(c_3(c_3(c_1(c_3(c_1(c_2(c_3(z0)))))))))))))))))) -> 3(2(0(3(1(2(0(3(3(1(1(1(0(2(3(2(3(3(z0))))))))))))))))))
   3(c_0(c_3(c_0(c_3(c_2(c_2(c_3(c_2(c_1(c_0(c_2(c_3(c_1(c_2(c_3(c_3(c_0(z0)))))))))))))))))) -> 3(1(2(1(2(3(2(0(2(3(2(0(0(3(3(3(3(0(z0))))))))))))))))))
   3(c_1(c_1(c_0(c_1(c_0(c_3(c_1(c_1(c_2(c_1(c_3(c_0(c_3(c_3(c_1(c_0(c_3(z0)))))))))))))))))) -> 3(1(1(1(3(1(1(1(0(3(0(0(1(2(3(3(0(3(z0))))))))))))))))))
   3(c_0(c_1(c_0(c_0(c_2(c_1(c_0(c_1(c_3(c_2(c_1(c_1(c_3(c_3(c_0(c_1(c_1(z0)))))))))))))))))) -> 3(0(0(2(3(1(1(1(0(1(3(0(1(0(3(2(1(1(z0))))))))))))))))))
   3(c_2(c_3(c_2(c_2(c_2(c_0(c_2(c_3(c_0(c_1(c_2(c_3(c_0(c_1(c_1(c_0(c_2(z0)))))))))))))))))) -> 3(2(2(3(3(0(3(1(2(2(0(1(0(0(2(2(1(2(z0))))))))))))))))))
   3(c_0(c_1(c_0(c_0(c_0(c_0(c_3(c_3(c_2(c_0(c_0(c_1(c_0(c_0(c_2(c_2(c_2(z0)))))))))))))))))) -> 0(2(0(3(0(0(2(0(3(3(0(0(0(2(1(0(1(2(z0))))))))))))))))))
   3(c_0(c_0(c_1(c_3(c_1(c_0(c_2(c_3(c_3(c_1(c_3(c_3(c_3(c_3(c_2(c_1(c_0(z0)))))))))))))))))) -> 3(0(3(1(1(2(2(1(3(0(3(3(0(3(3(3(1(0(z0))))))))))))))))))
   3(c_2(c_2(c_1(c_3(c_1(c_2(c_2(c_3(c_3(c_0(c_2(c_1(c_0(c_1(c_3(c_2(c_1(z0)))))))))))))))))) -> 3(2(3(1(1(2(3(0(2(1(3(1(1(2(3(0(2(2(z0))))))))))))))))))
   3(c_2(c_2(c_2(c_2(c_2(c_1(c_0(c_0(c_1(c_3(c_2(c_3(c_1(c_3(c_3(c_2(c_1(z0)))))))))))))))))) -> 3(2(3(1(0(2(2(2(1(3(3(2(1(0(2(2(3(1(z0))))))))))))))))))
   3(c_1(c_2(c_2(c_3(c_1(c_0(c_1(c_1(c_1(c_1(c_3(c_2(c_1(c_1(c_1(c_3(c_1(z0)))))))))))))))))) -> 3(1(1(2(2(3(1(1(0(1(2(1(1(3(1(1(3(1(z0))))))))))))))))))
   3(c_3(c_1(c_3(c_3(c_2(c_1(c_3(c_2(c_3(c_3(c_2(c_3(c_1(c_3(c_2(c_3(c_1(z0)))))))))))))))))) -> 3(1(3(1(2(2(3(3(3(3(3(3(3(2(2(1(3(1(z0))))))))))))))))))
   3(c_0(c_0(c_1(c_3(c_2(c_2(c_1(c_3(c_3(c_0(c_1(c_2(c_1(c_0(c_3(c_1(c_2(z0)))))))))))))))))) -> 3(0(1(1(3(3(0(2(3(1(2(1(3(0(2(0(1(2(z0))))))))))))))))))
   3(c_2(c_1(c_0(c_1(c_0(c_1(c_3(c_0(c_1(c_2(c_3(c_0(c_0(c_1(c_3(c_0(c_1(z0)))))))))))))))))) -> 3(0(0(3(0(3(3(0(0(1(1(0(1(2(1(2(1(1(z0))))))))))))))))))
   3(c_0(c_1(c_0(c_2(c_1(c_0(c_0(c_0(c_0(c_1(c_1(c_3(c_2(c_2(c_3(c_0(c_1(z0)))))))))))))))))) -> 3(0(0(3(0(3(2(1(1(0(0(0(2(1(1(1(0(2(z0))))))))))))))))))
   3(c_3(c_2(c_2(c_3(c_0(c_1(c_3(c_3(c_3(c_0(c_0(c_0(c_2(c_0(c_2(c_3(c_0(z0)))))))))))))))))) -> 3(3(3(0(3(2(0(2(3(0(2(2(0(1(3(0(3(0(z0))))))))))))))))))
   3(c_2(c_0(c_1(c_2(c_3(c_2(c_2(c_1(c_3(c_0(c_3(c_3(c_1(c_3(c_3(c_2(c_2(z0)))))))))))))))))) -> 3(2(0(1(2(0(1(3(3(2(3(3(3(3(1(2(2(2(z0))))))))))))))))))
   3(c_1(c_0(c_3(c_2(c_1(c_0(c_3(c_0(c_2(c_3(c_2(c_3(c_0(c_1(c_3(c_3(c_2(z0)))))))))))))))))) -> 3(1(0(3(1(3(3(3(0(2(3(0(3(2(2(0(1(2(z0))))))))))))))))))
   3(c_3(c_1(c_3(c_0(c_2(c_3(c_3(c_3(c_1(c_0(c_0(c_2(c_2(c_0(c_2(c_0(c_1(z0)))))))))))))))))) -> 3(0(0(2(0(0(3(0(3(3(2(1(2(1(2(3(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_2(c_0(c_3(c_2(c_1(c_0(z0)))))))))))))))))) -> 3(3(1(0(0(2(1(1(1(2(3(1(1(2(0(0(3(0(z0))))))))))))))))))
   3(c_2(c_2(c_2(c_2(c_3(c_3(c_1(c_3(c_1(c_1(c_3(c_3(c_1(c_2(c_2(c_3(c_2(z0)))))))))))))))))) -> 3(2(3(2(3(1(2(3(1(2(3(3(2(3(2(1(1(2(z0))))))))))))))))))
Tuples:
   0'(c_3(c_1(c_0(c_2(c_2(c_1(c_0(c_1(c_1(c_0(c_0(c_3(c_1(c_2(c_2(c_3(c_0(z0)))))))))))))))))) -> c10(0'(3(1(1(0(3(2(0(2(1(2(2(0(3(1(1(0(0(z0)))))))))))))))))), 3'(1(1(0(3(2(0(2(1(2(2(0(3(1(1(0(0(z0))))))))))))))))), 1'(1(0(3(2(0(2(1(2(2(0(3(1(1(0(0(z0)))))))))))))))), 1'(0(3(2(0(2(1(2(2(0(3(1(1(0(0(z0))))))))))))))), 0'(3(2(0(2(1(2(2(0(3(1(1(0(0(z0)))))))))))))), 3'(2(0(2(1(2(2(0(3(1(1(0(0(z0))))))))))))), 2'(0(2(1(2(2(0(3(1(1(0(0(z0)))))))))))), 0'(2(1(2(2(0(3(1(1(0(0(z0))))))))))), 2'(1(2(2(0(3(1(1(0(0(z0)))))))))), 1'(2(2(0(3(1(1(0(0(z0))))))))), 2'(2(0(3(1(1(0(0(z0)))))))), 2'(0(3(1(1(0(0(z0))))))), 0'(3(1(1(0(0(z0)))))), 3'(1(1(0(0(z0))))), 1'(1(0(0(z0)))), 1'(0(0(z0))), 0'(0(z0)), 0'(z0))
   0'(c_1(c_0(c_3(c_2(c_2(c_3(c_2(c_0(c_1(c_1(c_1(c_1(c_0(c_1(c_0(c_1(c_1(z0)))))))))))))))))) -> c11(1'(2(3(1(1(0(0(1(1(3(0(0(2(0(2(1(1(1(z0)))))))))))))))))), 2'(3(1(1(0(0(1(1(3(0(0(2(0(2(1(1(1(z0))))))))))))))))), 3'(1(1(0(0(1(1(3(0(0(2(0(2(1(1(1(z0)))))))))))))))), 1'(1(0(0(1(1(3(0(0(2(0(2(1(1(1(z0))))))))))))))), 1'(0(0(1(1(3(0(0(2(0(2(1(1(1(z0)))))))))))))), 0'(0(1(1(3(0(0(2(0(2(1(1(1(z0))))))))))))), 0'(1(1(3(0(0(2(0(2(1(1(1(z0)))))))))))), 1'(1(3(0(0(2(0(2(1(1(1(z0))))))))))), 1'(3(0(0(2(0(2(1(1(1(z0)))))))))), 3'(0(0(2(0(2(1(1(1(z0))))))))), 0'(0(2(0(2(1(1(1(z0)))))))), 0'(2(0(2(1(1(1(z0))))))), 2'(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))
   0'(c_2(c_0(c_2(c_2(c_1(c_1(c_0(c_2(c_0(c_0(c_0(c_1(c_0(c_3(c_0(c_2(c_0(z0)))))))))))))))))) -> c12(0'(2(1(1(1(0(2(0(2(0(0(0(0(3(2(0(2(0(z0)))))))))))))))))), 2'(1(1(1(0(2(0(2(0(0(0(0(3(2(0(2(0(z0))))))))))))))))), 1'(1(1(0(2(0(2(0(0(0(0(3(2(0(2(0(z0)))))))))))))))), 1'(1(0(2(0(2(0(0(0(0(3(2(0(2(0(z0))))))))))))))), 1'(0(2(0(2(0(0(0(0(3(2(0(2(0(z0)))))))))))))), 0'(2(0(2(0(0(0(0(3(2(0(2(0(z0))))))))))))), 2'(0(2(0(0(0(0(3(2(0(2(0(z0)))))))))))), 0'(2(0(0(0(0(3(2(0(2(0(z0))))))))))), 2'(0(0(0(0(3(2(0(2(0(z0)))))))))), 0'(0(0(0(3(2(0(2(0(z0))))))))), 0'(0(0(3(2(0(2(0(z0)))))))), 0'(0(3(2(0(2(0(z0))))))), 0'(3(2(0(2(0(z0)))))), 3'(2(0(2(0(z0))))), 2'(0(2(0(z0)))), 0'(2(0(z0))), 2'(0(z0)), 0'(z0))
   0'(c_0(c_2(c_0(c_0(c_0(c_1(c_1(c_0(c_2(c_2(c_3(c_3(c_0(c_0(c_3(c_0(c_2(z0)))))))))))))))))) -> c13(0'(2(0(0(3(1(1(2(3(0(2(0(0(3(0(0(0(2(z0)))))))))))))))))), 2'(0(0(3(1(1(2(3(0(2(0(0(3(0(0(0(2(z0))))))))))))))))), 0'(0(3(1(1(2(3(0(2(0(0(3(0(0(0(2(z0)))))))))))))))), 0'(3(1(1(2(3(0(2(0(0(3(0(0(0(2(z0))))))))))))))), 3'(1(1(2(3(0(2(0(0(3(0(0(0(2(z0)))))))))))))), 1'(1(2(3(0(2(0(0(3(0(0(0(2(z0))))))))))))), 1'(2(3(0(2(0(0(3(0(0(0(2(z0)))))))))))), 2'(3(0(2(0(0(3(0(0(0(2(z0))))))))))), 3'(0(2(0(0(3(0(0(0(2(z0)))))))))), 0'(2(0(0(3(0(0(0(2(z0))))))))), 2'(0(0(3(0(0(0(2(z0)))))))), 0'(0(3(0(0(0(2(z0))))))), 0'(3(0(0(0(2(z0)))))), 3'(0(0(0(2(z0))))), 0'(0(0(2(z0)))), 0'(0(2(z0))), 0'(2(z0)), 2'(z0))
   0'(c_0(c_3(c_2(c_0(c_0(c_1(c_0(c_1(c_3(c_2(c_3(c_2(c_2(c_2(c_0(c_1(c_1(z0)))))))))))))))))) -> c14(2'(0(0(1(3(1(2(1(2(0(3(2(0(0(3(0(1(2(z0)))))))))))))))))), 0'(0(1(3(1(2(1(2(0(3(2(0(0(3(0(1(2(z0))))))))))))))))), 0'(1(3(1(2(1(2(0(3(2(0(0(3(0(1(2(z0)))))))))))))))), 1'(3(1(2(1(2(0(3(2(0(0(3(0(1(2(z0))))))))))))))), 3'(1(2(1(2(0(3(2(0(0(3(0(1(2(z0)))))))))))))), 1'(2(1(2(0(3(2(0(0(3(0(1(2(z0))))))))))))), 2'(1(2(0(3(2(0(0(3(0(1(2(z0)))))))))))), 1'(2(0(3(2(0(0(3(0(1(2(z0))))))))))), 2'(0(3(2(0(0(3(0(1(2(z0)))))))))), 0'(3(2(0(0(3(0(1(2(z0))))))))), 3'(2(0(0(3(0(1(2(z0)))))))), 2'(0(0(3(0(1(2(z0))))))), 0'(0(3(0(1(2(z0)))))), 0'(3(0(1(2(z0))))), 3'(0(1(2(z0)))), 0'(1(2(z0))), 1'(2(z0)), 2'(z0))
   0'(c_2(c_2(c_2(c_2(c_2(c_1(c_3(c_1(c_0(c_1(c_2(c_3(c_2(c_0(c_1(c_1(c_2(z0)))))))))))))))))) -> c15(2'(1(2(1(2(3(2(1(2(1(2(0(0(2(0(1(3(2(z0)))))))))))))))))), 1'(2(1(2(3(2(1(2(1(2(0(0(2(0(1(3(2(z0))))))))))))))))), 2'(1(2(3(2(1(2(1(2(0(0(2(0(1(3(2(z0)))))))))))))))), 1'(2(3(2(1(2(1(2(0(0(2(0(1(3(2(z0))))))))))))))), 2'(3(2(1(2(1(2(0(0(2(0(1(3(2(z0)))))))))))))), 3'(2(1(2(1(2(0(0(2(0(1(3(2(z0))))))))))))), 2'(1(2(1(2(0(0(2(0(1(3(2(z0)))))))))))), 1'(2(1(2(0(0(2(0(1(3(2(z0))))))))))), 2'(1(2(0(0(2(0(1(3(2(z0)))))))))), 1'(2(0(0(2(0(1(3(2(z0))))))))), 2'(0(0(2(0(1(3(2(z0)))))))), 0'(0(2(0(1(3(2(z0))))))), 0'(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))
   0'(c_0(c_2(c_1(c_0(c_0(c_1(c_0(c_1(c_0(c_3(c_1(c_3(c_3(c_2(c_0(c_1(c_1(z0)))))))))))))))))) -> c16(3'(0(0(2(0(1(1(0(2(0(3(1(0(1(0(3(1(1(z0)))))))))))))))))), 0'(0(2(0(1(1(0(2(0(3(1(0(1(0(3(1(1(z0))))))))))))))))), 0'(2(0(1(1(0(2(0(3(1(0(1(0(3(1(1(z0)))))))))))))))), 2'(0(1(1(0(2(0(3(1(0(1(0(3(1(1(z0))))))))))))))), 0'(1(1(0(2(0(3(1(0(1(0(3(1(1(z0)))))))))))))), 1'(1(0(2(0(3(1(0(1(0(3(1(1(z0))))))))))))), 1'(0(2(0(3(1(0(1(0(3(1(1(z0)))))))))))), 0'(2(0(3(1(0(1(0(3(1(1(z0))))))))))), 2'(0(3(1(0(1(0(3(1(1(z0)))))))))), 0'(3(1(0(1(0(3(1(1(z0))))))))), 3'(1(0(1(0(3(1(1(z0)))))))), 1'(0(1(0(3(1(1(z0))))))), 0'(1(0(3(1(1(z0)))))), 1'(0(3(1(1(z0))))), 0'(3(1(1(z0)))), 3'(1(1(z0))), 1'(1(z0)), 1'(z0))
   0'(c_0(c_0(c_1(c_3(c_2(c_2(c_3(c_0(c_2(c_2(c_0(c_1(c_0(c_0(c_0(c_1(c_2(z0)))))))))))))))))) -> c17(0'(3(0(0(3(0(2(1(2(1(0(0(1(2(0(2(0(2(z0)))))))))))))))))), 3'(0(0(3(0(2(1(2(1(0(0(1(2(0(2(0(2(z0))))))))))))))))), 0'(0(3(0(2(1(2(1(0(0(1(2(0(2(0(2(z0)))))))))))))))), 0'(3(0(2(1(2(1(0(0(1(2(0(2(0(2(z0))))))))))))))), 3'(0(2(1(2(1(0(0(1(2(0(2(0(2(z0)))))))))))))), 0'(2(1(2(1(0(0(1(2(0(2(0(2(z0))))))))))))), 2'(1(2(1(0(0(1(2(0(2(0(2(z0)))))))))))), 1'(2(1(0(0(1(2(0(2(0(2(z0))))))))))), 2'(1(0(0(1(2(0(2(0(2(z0)))))))))), 1'(0(0(1(2(0(2(0(2(z0))))))))), 0'(0(1(2(0(2(0(2(z0)))))))), 0'(1(2(0(2(0(2(z0))))))), 1'(2(0(2(0(2(z0)))))), 2'(0(2(0(2(z0))))), 0'(2(0(2(z0)))), 2'(0(2(z0))), 0'(2(z0)), 2'(z0))
   0'(c_2(c_2(c_1(c_3(c_0(c_0(c_1(c_3(c_0(c_1(c_0(c_3(c_3(c_2(c_0(c_1(c_3(z0)))))))))))))))))) -> c18(3'(0(1(3(3(0(0(0(0(2(1(2(0(3(1(2(1(3(z0)))))))))))))))))), 0'(1(3(3(0(0(0(0(2(1(2(0(3(1(2(1(3(z0))))))))))))))))), 1'(3(3(0(0(0(0(2(1(2(0(3(1(2(1(3(z0)))))))))))))))), 3'(3(0(0(0(0(2(1(2(0(3(1(2(1(3(z0))))))))))))))), 3'(0(0(0(0(2(1(2(0(3(1(2(1(3(z0)))))))))))))), 0'(0(0(0(2(1(2(0(3(1(2(1(3(z0))))))))))))), 0'(0(0(2(1(2(0(3(1(2(1(3(z0)))))))))))), 0'(0(2(1(2(0(3(1(2(1(3(z0))))))))))), 0'(2(1(2(0(3(1(2(1(3(z0)))))))))), 2'(1(2(0(3(1(2(1(3(z0))))))))), 1'(2(0(3(1(2(1(3(z0)))))))), 2'(0(3(1(2(1(3(z0))))))), 0'(3(1(2(1(3(z0)))))), 3'(1(2(1(3(z0))))), 1'(2(1(3(z0)))), 2'(1(3(z0))), 1'(3(z0)), 3'(z0))
   0'(c_2(c_3(c_1(c_3(c_3(c_1(c_3(c_2(c_3(c_2(c_2(c_1(c_0(c_1(c_1(c_1(c_1(z0)))))))))))))))))) -> c19(1'(0(3(3(3(3(1(1(2(2(3(1(2(1(2(0(1(1(z0)))))))))))))))))), 0'(3(3(3(3(1(1(2(2(3(1(2(1(2(0(1(1(z0))))))))))))))))), 3'(3(3(3(1(1(2(2(3(1(2(1(2(0(1(1(z0)))))))))))))))), 3'(3(3(1(1(2(2(3(1(2(1(2(0(1(1(z0))))))))))))))), 3'(3(1(1(2(2(3(1(2(1(2(0(1(1(z0)))))))))))))), 3'(1(1(2(2(3(1(2(1(2(0(1(1(z0))))))))))))), 1'(1(2(2(3(1(2(1(2(0(1(1(z0)))))))))))), 1'(2(2(3(1(2(1(2(0(1(1(z0))))))))))), 2'(2(3(1(2(1(2(0(1(1(z0)))))))))), 2'(3(1(2(1(2(0(1(1(z0))))))))), 3'(1(2(1(2(0(1(1(z0)))))))), 1'(2(1(2(0(1(1(z0))))))), 2'(1(2(0(1(1(z0)))))), 1'(2(0(1(1(z0))))), 2'(0(1(1(z0)))), 0'(1(1(z0))), 1'(1(z0)), 1'(z0))
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   3'(c_3(c_0(c_1(c_0(c_3(c_2(c_0(c_1(c_1(c_1(c_1(c_2(c_0(c_3(c_2(c_1(c_0(z0)))))))))))))))))) -> c90(3'(3(1(0(0(2(1(1(1(2(3(1(1(2(0(0(3(0(z0)))))))))))))))))), 3'(1(0(0(2(1(1(1(2(3(1(1(2(0(0(3(0(z0))))))))))))))))), 1'(0(0(2(1(1(1(2(3(1(1(2(0(0(3(0(z0)))))))))))))))), 0'(0(2(1(1(1(2(3(1(1(2(0(0(3(0(z0))))))))))))))), 0'(2(1(1(1(2(3(1(1(2(0(0(3(0(z0)))))))))))))), 2'(1(1(1(2(3(1(1(2(0(0(3(0(z0))))))))))))), 1'(1(1(2(3(1(1(2(0(0(3(0(z0)))))))))))), 1'(1(2(3(1(1(2(0(0(3(0(z0))))))))))), 1'(2(3(1(1(2(0(0(3(0(z0)))))))))), 2'(3(1(1(2(0(0(3(0(z0))))))))), 3'(1(1(2(0(0(3(0(z0)))))))), 1'(1(2(0(0(3(0(z0))))))), 1'(2(0(0(3(0(z0)))))), 2'(0(0(3(0(z0))))), 0'(0(3(0(z0)))), 0'(3(0(z0))), 3'(0(z0)), 0'(z0))
   3'(c_2(c_2(c_2(c_2(c_3(c_3(c_1(c_3(c_1(c_1(c_3(c_3(c_1(c_2(c_2(c_3(c_2(z0)))))))))))))))))) -> c91(3'(2(3(2(3(1(2(3(1(2(3(3(2(3(2(1(1(2(z0)))))))))))))))))), 2'(3(2(3(1(2(3(1(2(3(3(2(3(2(1(1(2(z0))))))))))))))))), 3'(2(3(1(2(3(1(2(3(3(2(3(2(1(1(2(z0)))))))))))))))), 2'(3(1(2(3(1(2(3(3(2(3(2(1(1(2(z0))))))))))))))), 3'(1(2(3(1(2(3(3(2(3(2(1(1(2(z0)))))))))))))), 1'(2(3(1(2(3(3(2(3(2(1(1(2(z0))))))))))))), 2'(3(1(2(3(3(2(3(2(1(1(2(z0)))))))))))), 3'(1(2(3(3(2(3(2(1(1(2(z0))))))))))), 1'(2(3(3(2(3(2(1(1(2(z0)))))))))), 2'(3(3(2(3(2(1(1(2(z0))))))))), 3'(3(2(3(2(1(1(2(z0)))))))), 3'(2(3(2(1(1(2(z0))))))), 2'(3(2(1(1(2(z0)))))), 3'(2(1(1(2(z0))))), 2'(1(1(2(z0)))), 1'(1(2(z0))), 1'(2(z0)), 2'(z0))
   ENCODE_0(z0) -> c8(0'(encArg(z0)))
   ENCODE_1(z0) -> c8(1'(encArg(z0)))
   ENCODE_3(z0) -> c8(3'(encArg(z0)))
   ENCODE_2(z0) -> c8(2'(encArg(z0)))
   ENCARG(cons_0(cons_0(z0))) -> c(0'(0(encArg(z0))), ENCARG(cons_0(z0)))
   ENCARG(cons_0(cons_1(z0))) -> c(0'(1(encArg(z0))), ENCARG(cons_1(z0)))
   ENCARG(cons_0(cons_2(z0))) -> c(0'(2(encArg(z0))), ENCARG(cons_2(z0)))
   ENCARG(cons_0(cons_3(z0))) -> c(0'(3(encArg(z0))), ENCARG(cons_3(z0)))
   ENCARG(cons_1(cons_0(z0))) -> c1(1'(0(encArg(z0))), ENCARG(cons_0(z0)))
   ENCARG(cons_1(cons_1(z0))) -> c1(1'(1(encArg(z0))), ENCARG(cons_1(z0)))
   ENCARG(cons_1(cons_2(z0))) -> c1(1'(2(encArg(z0))), ENCARG(cons_2(z0)))
   ENCARG(cons_1(cons_3(z0))) -> c1(1'(3(encArg(z0))), ENCARG(cons_3(z0)))
   ENCARG(cons_2(cons_0(z0))) -> c2(2'(0(encArg(z0))), ENCARG(cons_0(z0)))
   ENCARG(cons_2(cons_1(z0))) -> c2(2'(1(encArg(z0))), ENCARG(cons_1(z0)))
   ENCARG(cons_2(cons_2(z0))) -> c2(2'(2(encArg(z0))), ENCARG(cons_2(z0)))
   ENCARG(cons_2(cons_3(z0))) -> c2(2'(3(encArg(z0))), ENCARG(cons_3(z0)))
   ENCARG(cons_3(cons_0(z0))) -> c3(3'(0(encArg(z0))), ENCARG(cons_0(z0)))
   ENCARG(cons_3(cons_1(z0))) -> c3(3'(1(encArg(z0))), ENCARG(cons_1(z0)))
   ENCARG(cons_3(cons_2(z0))) -> c3(3'(2(encArg(z0))), ENCARG(cons_2(z0)))
   ENCARG(cons_3(cons_3(z0))) -> c3(3'(3(encArg(z0))), ENCARG(cons_3(z0)))
   0'(c_2(c_3(c_3(c_2(c_1(c_3(c_0(c_1(c_3(c_1(c_3(c_3(c_0(c_2(c_1(c_0(c_1(x0)))))))))))))))))) -> c9(0'(c_2(3(3(0(3(1(0(2(3(1(0(3(3(2(1(1(1(x0)))))))))))))))))), 2'(3(3(0(3(1(0(2(3(1(0(3(3(2(1(1(1(x0))))))))))))))))), 3'(3(0(3(1(0(2(3(1(0(3(3(2(1(1(1(x0)))))))))))))))), 3'(0(3(1(0(2(3(1(0(3(3(2(1(1(1(x0))))))))))))))), 0'(3(1(0(2(3(1(0(3(3(2(1(1(1(x0)))))))))))))), 3'(1(0(2(3(1(0(3(3(2(1(1(1(x0))))))))))))), 1'(0(2(3(1(0(3(3(2(1(1(1(x0)))))))))))), 0'(2(3(1(0(3(3(2(1(1(1(x0))))))))))), 2'(3(1(0(3(3(2(1(1(1(x0)))))))))), 3'(1(0(3(3(2(1(1(1(x0))))))))), 1'(0(3(3(2(1(1(1(x0)))))))), 0'(3(3(2(1(1(1(x0))))))), 3'(3(2(1(1(1(x0)))))), 3'(2(1(1(1(x0))))), 2'(1(1(1(x0)))), 1'(1(1(x0))), 1'(1(x0)), 1'(x0))
   0'(c_2(c_3(c_3(c_2(c_1(c_3(c_0(c_1(c_3(c_1(c_3(c_3(c_0(c_2(c_1(c_0(c_1(x0)))))))))))))))))) -> c9(0'(2(c_3(3(0(3(1(0(2(3(1(0(3(3(2(1(1(1(x0)))))))))))))))))), 2'(3(3(0(3(1(0(2(3(1(0(3(3(2(1(1(1(x0))))))))))))))))), 3'(3(0(3(1(0(2(3(1(0(3(3(2(1(1(1(x0)))))))))))))))), 3'(0(3(1(0(2(3(1(0(3(3(2(1(1(1(x0))))))))))))))), 0'(3(1(0(2(3(1(0(3(3(2(1(1(1(x0)))))))))))))), 3'(1(0(2(3(1(0(3(3(2(1(1(1(x0))))))))))))), 1'(0(2(3(1(0(3(3(2(1(1(1(x0)))))))))))), 0'(2(3(1(0(3(3(2(1(1(1(x0))))))))))), 2'(3(1(0(3(3(2(1(1(1(x0)))))))))), 3'(1(0(3(3(2(1(1(1(x0))))))))), 1'(0(3(3(2(1(1(1(x0)))))))), 0'(3(3(2(1(1(1(x0))))))), 3'(3(2(1(1(1(x0)))))), 3'(2(1(1(1(x0))))), 2'(1(1(1(x0)))), 1'(1(1(x0))), 1'(1(x0)), 1'(x0))
   0'(c_2(c_3(c_3(c_2(c_1(c_3(c_0(c_1(c_3(c_1(c_3(c_3(c_0(c_2(c_1(c_0(c_1(x0)))))))))))))))))) -> c9(0'(2(3(c_3(0(3(1(0(2(3(1(0(3(3(2(1(1(1(x0)))))))))))))))))), 2'(3(3(0(3(1(0(2(3(1(0(3(3(2(1(1(1(x0))))))))))))))))), 3'(3(0(3(1(0(2(3(1(0(3(3(2(1(1(1(x0)))))))))))))))), 3'(0(3(1(0(2(3(1(0(3(3(2(1(1(1(x0))))))))))))))), 0'(3(1(0(2(3(1(0(3(3(2(1(1(1(x0)))))))))))))), 3'(1(0(2(3(1(0(3(3(2(1(1(1(x0))))))))))))), 1'(0(2(3(1(0(3(3(2(1(1(1(x0)))))))))))), 0'(2(3(1(0(3(3(2(1(1(1(x0))))))))))), 2'(3(1(0(3(3(2(1(1(1(x0)))))))))), 3'(1(0(3(3(2(1(1(1(x0))))))))), 1'(0(3(3(2(1(1(1(x0)))))))), 0'(3(3(2(1(1(1(x0))))))), 3'(3(2(1(1(1(x0)))))), 3'(2(1(1(1(x0))))), 2'(1(1(1(x0)))), 1'(1(1(x0))), 1'(1(x0)), 1'(x0))
   0'(c_2(c_3(c_3(c_2(c_1(c_3(c_0(c_1(c_3(c_1(c_3(c_3(c_0(c_2(c_1(c_0(c_1(x0)))))))))))))))))) -> c9(0'(2(3(3(c_0(3(1(0(2(3(1(0(3(3(2(1(1(1(x0)))))))))))))))))), 2'(3(3(0(3(1(0(2(3(1(0(3(3(2(1(1(1(x0))))))))))))))))), 3'(3(0(3(1(0(2(3(1(0(3(3(2(1(1(1(x0)))))))))))))))), 3'(0(3(1(0(2(3(1(0(3(3(2(1(1(1(x0))))))))))))))), 0'(3(1(0(2(3(1(0(3(3(2(1(1(1(x0)))))))))))))), 3'(1(0(2(3(1(0(3(3(2(1(1(1(x0))))))))))))), 1'(0(2(3(1(0(3(3(2(1(1(1(x0)))))))))))), 0'(2(3(1(0(3(3(2(1(1(1(x0))))))))))), 2'(3(1(0(3(3(2(1(1(1(x0)))))))))), 3'(1(0(3(3(2(1(1(1(x0))))))))), 1'(0(3(3(2(1(1(1(x0)))))))), 0'(3(3(2(1(1(1(x0))))))), 3'(3(2(1(1(1(x0)))))), 3'(2(1(1(1(x0))))), 2'(1(1(1(x0)))), 1'(1(1(x0))), 1'(1(x0)), 1'(x0))
   0'(c_2(c_3(c_3(c_2(c_1(c_3(c_0(c_1(c_3(c_1(c_3(c_3(c_0(c_2(c_1(c_0(c_1(x0)))))))))))))))))) -> c9(0'(2(3(3(0(c_3(1(0(2(3(1(0(3(3(2(1(1(1(x0)))))))))))))))))), 2'(3(3(0(3(1(0(2(3(1(0(3(3(2(1(1(1(x0))))))))))))))))), 3'(3(0(3(1(0(2(3(1(0(3(3(2(1(1(1(x0)))))))))))))))), 3'(0(3(1(0(2(3(1(0(3(3(2(1(1(1(x0))))))))))))))), 0'(3(1(0(2(3(1(0(3(3(2(1(1(1(x0)))))))))))))), 3'(1(0(2(3(1(0(3(3(2(1(1(1(x0))))))))))))), 1'(0(2(3(1(0(3(3(2(1(1(1(x0)))))))))))), 0'(2(3(1(0(3(3(2(1(1(1(x0))))))))))), 2'(3(1(0(3(3(2(1(1(1(x0)))))))))), 3'(1(0(3(3(2(1(1(1(x0))))))))), 1'(0(3(3(2(1(1(1(x0)))))))), 0'(3(3(2(1(1(1(x0))))))), 3'(3(2(1(1(1(x0)))))), 3'(2(1(1(1(x0))))), 2'(1(1(1(x0)))), 1'(1(1(x0))), 1'(1(x0)), 1'(x0))
   0'(c_2(c_3(c_3(c_2(c_1(c_3(c_0(c_1(c_3(c_1(c_3(c_3(c_0(c_2(c_1(c_0(c_1(x0)))))))))))))))))) -> c9(0'(2(3(3(0(3(c_1(0(2(3(1(0(3(3(2(1(1(1(x0)))))))))))))))))), 2'(3(3(0(3(1(0(2(3(1(0(3(3(2(1(1(1(x0))))))))))))))))), 3'(3(0(3(1(0(2(3(1(0(3(3(2(1(1(1(x0)))))))))))))))), 3'(0(3(1(0(2(3(1(0(3(3(2(1(1(1(x0))))))))))))))), 0'(3(1(0(2(3(1(0(3(3(2(1(1(1(x0)))))))))))))), 3'(1(0(2(3(1(0(3(3(2(1(1(1(x0))))))))))))), 1'(0(2(3(1(0(3(3(2(1(1(1(x0)))))))))))), 0'(2(3(1(0(3(3(2(1(1(1(x0))))))))))), 2'(3(1(0(3(3(2(1(1(1(x0)))))))))), 3'(1(0(3(3(2(1(1(1(x0))))))))), 1'(0(3(3(2(1(1(1(x0)))))))), 0'(3(3(2(1(1(1(x0))))))), 3'(3(2(1(1(1(x0)))))), 3'(2(1(1(1(x0))))), 2'(1(1(1(x0)))), 1'(1(1(x0))), 1'(1(x0)), 1'(x0))
   0'(c_2(c_3(c_3(c_2(c_1(c_3(c_0(c_1(c_3(c_1(c_3(c_3(c_0(c_2(c_1(c_0(c_1(x0)))))))))))))))))) -> c9(0'(2(3(3(0(3(1(c_0(2(3(1(0(3(3(2(1(1(1(x0)))))))))))))))))), 2'(3(3(0(3(1(0(2(3(1(0(3(3(2(1(1(1(x0))))))))))))))))), 3'(3(0(3(1(0(2(3(1(0(3(3(2(1(1(1(x0)))))))))))))))), 3'(0(3(1(0(2(3(1(0(3(3(2(1(1(1(x0))))))))))))))), 0'(3(1(0(2(3(1(0(3(3(2(1(1(1(x0)))))))))))))), 3'(1(0(2(3(1(0(3(3(2(1(1(1(x0))))))))))))), 1'(0(2(3(1(0(3(3(2(1(1(1(x0)))))))))))), 0'(2(3(1(0(3(3(2(1(1(1(x0))))))))))), 2'(3(1(0(3(3(2(1(1(1(x0)))))))))), 3'(1(0(3(3(2(1(1(1(x0))))))))), 1'(0(3(3(2(1(1(1(x0)))))))), 0'(3(3(2(1(1(1(x0))))))), 3'(3(2(1(1(1(x0)))))), 3'(2(1(1(1(x0))))), 2'(1(1(1(x0)))), 1'(1(1(x0))), 1'(1(x0)), 1'(x0))
   0'(c_2(c_3(c_3(c_2(c_1(c_3(c_0(c_1(c_3(c_1(c_3(c_3(c_0(c_2(c_1(c_0(c_1(x0)))))))))))))))))) -> c9(0'(2(3(3(0(3(1(0(c_2(3(1(0(3(3(2(1(1(1(x0)))))))))))))))))), 2'(3(3(0(3(1(0(2(3(1(0(3(3(2(1(1(1(x0))))))))))))))))), 3'(3(0(3(1(0(2(3(1(0(3(3(2(1(1(1(x0)))))))))))))))), 3'(0(3(1(0(2(3(1(0(3(3(2(1(1(1(x0))))))))))))))), 0'(3(1(0(2(3(1(0(3(3(2(1(1(1(x0)))))))))))))), 3'(1(0(2(3(1(0(3(3(2(1(1(1(x0))))))))))))), 1'(0(2(3(1(0(3(3(2(1(1(1(x0)))))))))))), 0'(2(3(1(0(3(3(2(1(1(1(x0))))))))))), 2'(3(1(0(3(3(2(1(1(1(x0)))))))))), 3'(1(0(3(3(2(1(1(1(x0))))))))), 1'(0(3(3(2(1(1(1(x0)))))))), 0'(3(3(2(1(1(1(x0))))))), 3'(3(2(1(1(1(x0)))))), 3'(2(1(1(1(x0))))), 2'(1(1(1(x0)))), 1'(1(1(x0))), 1'(1(x0)), 1'(x0))
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   0'(c_2(c_3(c_3(c_2(c_1(c_3(c_0(c_1(c_3(c_1(c_3(c_3(c_0(c_2(c_1(c_0(c_1(c_3(c_1(c_2(c_2(c_2(c_1(c_3(c_3(c_0(c_1(c_1(c_0(c_0(c_2(c_2(c_3(c_2(z0))))))))))))))))))))))))))))))))))) -> c9(0'(2(3(3(0(3(1(0(2(3(1(0(3(3(2(1(1(1(2(2(3(0(2(3(0(3(2(3(1(1(0(1(2(1(2(z0))))))))))))))))))))))))))))))))))), 2'(3(3(0(3(1(0(2(3(1(0(3(3(2(1(1(1(c_3(c_1(c_2(c_2(c_2(c_1(c_3(c_3(c_0(c_1(c_1(c_0(c_0(c_2(c_2(c_3(c_2(z0)))))))))))))))))))))))))))))))))), 3'(3(0(3(1(0(2(3(1(0(3(3(2(1(1(1(c_3(c_1(c_2(c_2(c_2(c_1(c_3(c_3(c_0(c_1(c_1(c_0(c_0(c_2(c_2(c_3(c_2(z0))))))))))))))))))))))))))))))))), 3'(0(3(1(0(2(3(1(0(3(3(2(1(1(1(c_3(c_1(c_2(c_2(c_2(c_1(c_3(c_3(c_0(c_1(c_1(c_0(c_0(c_2(c_2(c_3(c_2(z0)))))))))))))))))))))))))))))))), 0'(3(1(0(2(3(1(0(3(3(2(1(1(1(c_3(c_1(c_2(c_2(c_2(c_1(c_3(c_3(c_0(c_1(c_1(c_0(c_0(c_2(c_2(c_3(c_2(z0))))))))))))))))))))))))))))))), 3'(1(0(2(3(1(0(3(3(2(1(1(1(c_3(c_1(c_2(c_2(c_2(c_1(c_3(c_3(c_0(c_1(c_1(c_0(c_0(c_2(c_2(c_3(c_2(z0)))))))))))))))))))))))))))))), 1'(0(2(3(1(0(3(3(2(1(1(1(c_3(c_1(c_2(c_2(c_2(c_1(c_3(c_3(c_0(c_1(c_1(c_0(c_0(c_2(c_2(c_3(c_2(z0))))))))))))))))))))))))))))), 0'(2(3(1(0(3(3(2(1(1(1(c_3(c_1(c_2(c_2(c_2(c_1(c_3(c_3(c_0(c_1(c_1(c_0(c_0(c_2(c_2(c_3(c_2(z0)))))))))))))))))))))))))))), 2'(3(1(0(3(3(2(1(1(1(c_3(c_1(c_2(c_2(c_2(c_1(c_3(c_3(c_0(c_1(c_1(c_0(c_0(c_2(c_2(c_3(c_2(z0))))))))))))))))))))))))))), 3'(1(0(3(3(2(1(1(1(c_3(c_1(c_2(c_2(c_2(c_1(c_3(c_3(c_0(c_1(c_1(c_0(c_0(c_2(c_2(c_3(c_2(z0)))))))))))))))))))))))))), 1'(0(3(3(2(1(1(1(c_3(c_1(c_2(c_2(c_2(c_1(c_3(c_3(c_0(c_1(c_1(c_0(c_0(c_2(c_2(c_3(c_2(z0))))))))))))))))))))))))), 0'(3(3(2(1(1(1(c_3(c_1(c_2(c_2(c_2(c_1(c_3(c_3(c_0(c_1(c_1(c_0(c_0(c_2(c_2(c_3(c_2(z0)))))))))))))))))))))))), 3'(3(2(1(1(1(c_3(c_1(c_2(c_2(c_2(c_1(c_3(c_3(c_0(c_1(c_1(c_0(c_0(c_2(c_2(c_3(c_2(z0))))))))))))))))))))))), 3'(2(1(1(1(c_3(c_1(c_2(c_2(c_2(c_1(c_3(c_3(c_0(c_1(c_1(c_0(c_0(c_2(c_2(c_3(c_2(z0)))))))))))))))))))))), 2'(1(1(1(c_3(c_1(c_2(c_2(c_2(c_1(c_3(c_3(c_0(c_1(c_1(c_0(c_0(c_2(c_2(c_3(c_2(z0))))))))))))))))))))), 1'(1(1(c_3(c_1(c_2(c_2(c_2(c_1(c_3(c_3(c_0(c_1(c_1(c_0(c_0(c_2(c_2(c_3(c_2(z0)))))))))))))))))))), 1'(1(c_3(c_1(c_2(c_2(c_2(c_1(c_3(c_3(c_0(c_1(c_1(c_0(c_0(c_2(c_2(c_3(c_2(z0))))))))))))))))))), 1'(c_3(c_1(c_2(c_2(c_2(c_1(c_3(c_3(c_0(c_1(c_1(c_0(c_0(c_2(c_2(c_3(c_2(z0)))))))))))))))))))
S tuples:
   0'(c_3(c_1(c_0(c_2(c_2(c_1(c_0(c_1(c_1(c_0(c_0(c_3(c_1(c_2(c_2(c_3(c_0(z0)))))))))))))))))) -> c10(0'(3(1(1(0(3(2(0(2(1(2(2(0(3(1(1(0(0(z0)))))))))))))))))), 3'(1(1(0(3(2(0(2(1(2(2(0(3(1(1(0(0(z0))))))))))))))))), 1'(1(0(3(2(0(2(1(2(2(0(3(1(1(0(0(z0)))))))))))))))), 1'(0(3(2(0(2(1(2(2(0(3(1(1(0(0(z0))))))))))))))), 0'(3(2(0(2(1(2(2(0(3(1(1(0(0(z0)))))))))))))), 3'(2(0(2(1(2(2(0(3(1(1(0(0(z0))))))))))))), 2'(0(2(1(2(2(0(3(1(1(0(0(z0)))))))))))), 0'(2(1(2(2(0(3(1(1(0(0(z0))))))))))), 2'(1(2(2(0(3(1(1(0(0(z0)))))))))), 1'(2(2(0(3(1(1(0(0(z0))))))))), 2'(2(0(3(1(1(0(0(z0)))))))), 2'(0(3(1(1(0(0(z0))))))), 0'(3(1(1(0(0(z0)))))), 3'(1(1(0(0(z0))))), 1'(1(0(0(z0)))), 1'(0(0(z0))), 0'(0(z0)), 0'(z0))
   0'(c_1(c_0(c_3(c_2(c_2(c_3(c_2(c_0(c_1(c_1(c_1(c_1(c_0(c_1(c_0(c_1(c_1(z0)))))))))))))))))) -> c11(1'(2(3(1(1(0(0(1(1(3(0(0(2(0(2(1(1(1(z0)))))))))))))))))), 2'(3(1(1(0(0(1(1(3(0(0(2(0(2(1(1(1(z0))))))))))))))))), 3'(1(1(0(0(1(1(3(0(0(2(0(2(1(1(1(z0)))))))))))))))), 1'(1(0(0(1(1(3(0(0(2(0(2(1(1(1(z0))))))))))))))), 1'(0(0(1(1(3(0(0(2(0(2(1(1(1(z0)))))))))))))), 0'(0(1(1(3(0(0(2(0(2(1(1(1(z0))))))))))))), 0'(1(1(3(0(0(2(0(2(1(1(1(z0)))))))))))), 1'(1(3(0(0(2(0(2(1(1(1(z0))))))))))), 1'(3(0(0(2(0(2(1(1(1(z0)))))))))), 3'(0(0(2(0(2(1(1(1(z0))))))))), 0'(0(2(0(2(1(1(1(z0)))))))), 0'(2(0(2(1(1(1(z0))))))), 2'(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))
   0'(c_2(c_0(c_2(c_2(c_1(c_1(c_0(c_2(c_0(c_0(c_0(c_1(c_0(c_3(c_0(c_2(c_0(z0)))))))))))))))))) -> c12(0'(2(1(1(1(0(2(0(2(0(0(0(0(3(2(0(2(0(z0)))))))))))))))))), 2'(1(1(1(0(2(0(2(0(0(0(0(3(2(0(2(0(z0))))))))))))))))), 1'(1(1(0(2(0(2(0(0(0(0(3(2(0(2(0(z0)))))))))))))))), 1'(1(0(2(0(2(0(0(0(0(3(2(0(2(0(z0))))))))))))))), 1'(0(2(0(2(0(0(0(0(3(2(0(2(0(z0)))))))))))))), 0'(2(0(2(0(0(0(0(3(2(0(2(0(z0))))))))))))), 2'(0(2(0(0(0(0(3(2(0(2(0(z0)))))))))))), 0'(2(0(0(0(0(3(2(0(2(0(z0))))))))))), 2'(0(0(0(0(3(2(0(2(0(z0)))))))))), 0'(0(0(0(3(2(0(2(0(z0))))))))), 0'(0(0(3(2(0(2(0(z0)))))))), 0'(0(3(2(0(2(0(z0))))))), 0'(3(2(0(2(0(z0)))))), 3'(2(0(2(0(z0))))), 2'(0(2(0(z0)))), 0'(2(0(z0))), 2'(0(z0)), 0'(z0))
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   0'(c_2(c_3(c_3(c_2(c_1(c_3(c_0(c_1(c_3(c_1(c_3(c_3(c_0(c_2(c_1(c_0(c_1(c_3(c_1(c_2(c_2(c_2(c_1(c_3(c_3(c_0(c_1(c_1(c_0(c_0(c_2(c_2(c_3(c_2(z0))))))))))))))))))))))))))))))))))) -> c9(0'(2(3(3(0(3(1(0(2(3(1(0(3(3(2(1(1(1(2(2(3(0(2(3(0(3(2(3(1(1(0(1(2(1(2(z0))))))))))))))))))))))))))))))))))), 2'(3(3(0(3(1(0(2(3(1(0(3(3(2(1(1(1(c_3(c_1(c_2(c_2(c_2(c_1(c_3(c_3(c_0(c_1(c_1(c_0(c_0(c_2(c_2(c_3(c_2(z0)))))))))))))))))))))))))))))))))), 3'(3(0(3(1(0(2(3(1(0(3(3(2(1(1(1(c_3(c_1(c_2(c_2(c_2(c_1(c_3(c_3(c_0(c_1(c_1(c_0(c_0(c_2(c_2(c_3(c_2(z0))))))))))))))))))))))))))))))))), 3'(0(3(1(0(2(3(1(0(3(3(2(1(1(1(c_3(c_1(c_2(c_2(c_2(c_1(c_3(c_3(c_0(c_1(c_1(c_0(c_0(c_2(c_2(c_3(c_2(z0)))))))))))))))))))))))))))))))), 0'(3(1(0(2(3(1(0(3(3(2(1(1(1(c_3(c_1(c_2(c_2(c_2(c_1(c_3(c_3(c_0(c_1(c_1(c_0(c_0(c_2(c_2(c_3(c_2(z0))))))))))))))))))))))))))))))), 3'(1(0(2(3(1(0(3(3(2(1(1(1(c_3(c_1(c_2(c_2(c_2(c_1(c_3(c_3(c_0(c_1(c_1(c_0(c_0(c_2(c_2(c_3(c_2(z0)))))))))))))))))))))))))))))), 1'(0(2(3(1(0(3(3(2(1(1(1(c_3(c_1(c_2(c_2(c_2(c_1(c_3(c_3(c_0(c_1(c_1(c_0(c_0(c_2(c_2(c_3(c_2(z0))))))))))))))))))))))))))))), 0'(2(3(1(0(3(3(2(1(1(1(c_3(c_1(c_2(c_2(c_2(c_1(c_3(c_3(c_0(c_1(c_1(c_0(c_0(c_2(c_2(c_3(c_2(z0)))))))))))))))))))))))))))), 2'(3(1(0(3(3(2(1(1(1(c_3(c_1(c_2(c_2(c_2(c_1(c_3(c_3(c_0(c_1(c_1(c_0(c_0(c_2(c_2(c_3(c_2(z0))))))))))))))))))))))))))), 3'(1(0(3(3(2(1(1(1(c_3(c_1(c_2(c_2(c_2(c_1(c_3(c_3(c_0(c_1(c_1(c_0(c_0(c_2(c_2(c_3(c_2(z0)))))))))))))))))))))))))), 1'(0(3(3(2(1(1(1(c_3(c_1(c_2(c_2(c_2(c_1(c_3(c_3(c_0(c_1(c_1(c_0(c_0(c_2(c_2(c_3(c_2(z0))))))))))))))))))))))))), 0'(3(3(2(1(1(1(c_3(c_1(c_2(c_2(c_2(c_1(c_3(c_3(c_0(c_1(c_1(c_0(c_0(c_2(c_2(c_3(c_2(z0)))))))))))))))))))))))), 3'(3(2(1(1(1(c_3(c_1(c_2(c_2(c_2(c_1(c_3(c_3(c_0(c_1(c_1(c_0(c_0(c_2(c_2(c_3(c_2(z0))))))))))))))))))))))), 3'(2(1(1(1(c_3(c_1(c_2(c_2(c_2(c_1(c_3(c_3(c_0(c_1(c_1(c_0(c_0(c_2(c_2(c_3(c_2(z0)))))))))))))))))))))), 2'(1(1(1(c_3(c_1(c_2(c_2(c_2(c_1(c_3(c_3(c_0(c_1(c_1(c_0(c_0(c_2(c_2(c_3(c_2(z0))))))))))))))))))))), 1'(1(1(c_3(c_1(c_2(c_2(c_2(c_1(c_3(c_3(c_0(c_1(c_1(c_0(c_0(c_2(c_2(c_3(c_2(z0)))))))))))))))))))), 1'(1(c_3(c_1(c_2(c_2(c_2(c_1(c_3(c_3(c_0(c_1(c_1(c_0(c_0(c_2(c_2(c_3(c_2(z0))))))))))))))))))), 1'(c_3(c_1(c_2(c_2(c_2(c_1(c_3(c_3(c_0(c_1(c_1(c_0(c_0(c_2(c_2(c_3(c_2(z0)))))))))))))))))))
K tuples:none
Defined Rule Symbols:   encArg_1, 0_1, 1_1, 2_1, 3_1

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

Compound Symbols:   c10_18, c11_18, c12_18, c13_18, c14_18, c15_18, c16_18, c17_18, c18_18, c19_18, c20_18, c21_18, c22_18, c23_18, c24_18, c25_18, c26_18, c27_18, c28_18, c29_18, c30_18, c31_18, c32_18, c33_18, c35_18, c36_18, c37_18, c38_18, c39_18, c40_18, c41_18, c42_18, c43_18, c44_18, c45_18, c46_18, c47_18, c48_18, c49_18, c50_18, c51_18, c52_18, c53_18, c54_18, c55_18, c57_18, c58_18, c59_18, c60_18, c61_18, c62_18, c63_18, c64_18, c65_18, c67_18, c68_18, c69_18, c70_18, c71_18, c72_18, c73_18, c74_18, c75_18, c76_18, c77_18, c78_18, c79_18, c80_18, c81_18, c82_18, c83_18, c84_18, c85_18, c86_18, c87_18, c88_18, c89_18, c90_18, c91_18, c8_1, c_2, c1_2, c2_2, c3_2, c9_18