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# AProVE Commit ID: 794c25de1cacf0d048858bcd21c9a779e1221865 marcel 20200619 unpublished dirty


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

(0) DCpxTrs
(1) DerivationalComplexityToRuntimeComplexityProof [BOTH BOUNDS(ID, ID), 0 ms]
(2) CpxRelTRS
(3) SInnermostTerminationProof [BOTH CONCRETE BOUNDS(ID, ID), 40 ms]
(4) CpxRelTRS
(5) RelTrsToDecreasingLoopProblemProof [LOWER BOUND(ID), 0 ms]
(6) TRS for Loop Detection
(7) RenamingProof [BOTH BOUNDS(ID, ID), 0 ms]
(8) CpxRelTRS
    (9) TypeInferenceProof [BOTH BOUNDS(ID, ID), 25 ms]
    (10) typed CpxTrs
    (11) OrderProof [LOWER BOUND(ID), 0 ms]
    (12) typed CpxTrs
(13) RelTrsToTrsProof [UPPER BOUND(ID), 0 ms]
(14) CpxTRS
(15) NonCtorToCtorProof [UPPER BOUND(ID), 0 ms]
(16) CpxRelTRS
    (17) RcToIrcProof [BOTH BOUNDS(ID, ID), 1303 ms]
    (18) CpxRelTRS
    (19) RelTrsToWeightedTrsProof [BOTH BOUNDS(ID, ID), 0 ms]
    (20) CpxWeightedTrs
        (21) CpxWeightedTrsRenamingProof [BOTH BOUNDS(ID, ID), 29 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), 1631 ms]
            (28) CpxTypedWeightedCompleteTrs
            (29) CpxTypedWeightedTrsToRntsProof [UPPER BOUND(ID), 69 ms]
            (30) CpxRNTS
            (31) SimplificationProof [BOTH BOUNDS(ID, ID), 92 ms]
            (32) CpxRNTS
        (33) CompletionProof [UPPER BOUND(ID), 0 ms]
        (34) CpxTypedWeightedCompleteTrs
            (35) CpxTypedWeightedTrsToRntsProof [UPPER BOUND(ID), 14 ms]
            (36) CpxRNTS
    (37) CpxTrsToCdtProof [UPPER BOUND(ID), 1142 ms]
    (38) CdtProblem
        (39) CdtLeafRemovalProof [BOTH BOUNDS(ID, ID), 12 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), 7858 ms]
        (46) CdtProblem
        (47) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 2322 ms]
        (48) CdtProblem
        (49) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 2354 ms]
        (50) CdtProblem
        (51) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 2390 ms]
        (52) CdtProblem
        (53) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 2387 ms]
        (54) CdtProblem
        (55) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 5772 ms]
        (56) CdtProblem


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

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


The TRS R consists of the following rules:

   0(0(0(0(1(1(3(2(3(3(0(1(1(2(0(1(3(1(x1)))))))))))))))))) -> 0(0(0(1(1(1(0(1(3(3(1(0(3(2(0(2(3(1(x1))))))))))))))))))
   0(0(0(2(3(0(0(0(0(0(0(1(1(0(3(0(0(0(x1)))))))))))))))))) -> 0(0(3(1(0(0(0(0(2(0(0(0(3(1(0(0(0(0(x1))))))))))))))))))
   0(0(1(1(2(1(3(1(3(1(1(1(2(2(1(0(2(2(x1)))))))))))))))))) -> 2(1(1(1(1(0(3(1(1(1(2(0(3(1(0(2(2(2(x1))))))))))))))))))
   0(0(3(3(0(2(3(0(3(0(2(1(0(0(0(3(3(0(x1)))))))))))))))))) -> 0(0(3(1(0(3(0(0(3(3(0(3(3(0(0(2(0(2(x1))))))))))))))))))
   0(2(0(1(3(0(0(1(3(0(2(0(1(3(1(1(3(1(x1)))))))))))))))))) -> 0(2(0(1(3(1(1(2(1(0(0(3(3(0(0(1(3(1(x1))))))))))))))))))
   0(2(0(2(1(1(2(1(2(0(0(3(2(2(3(0(0(3(x1)))))))))))))))))) -> 0(3(2(2(0(2(2(2(2(0(3(0(1(0(1(1(0(3(x1))))))))))))))))))
   0(2(1(2(1(1(2(3(2(1(0(0(1(0(0(3(0(3(x1)))))))))))))))))) -> 0(3(2(0(0(1(2(1(0(2(1(1(3(1(0(0(2(3(x1))))))))))))))))))
   0(2(3(1(2(3(2(1(0(1(0(0(3(1(3(1(2(3(x1)))))))))))))))))) -> 0(2(3(3(1(2(1(1(1(0(2(3(1(0(2(0(3(3(x1))))))))))))))))))
   0(3(0(0(2(1(0(0(2(1(2(2(3(2(0(0(2(0(x1)))))))))))))))))) -> 0(2(0(0(0(2(0(3(0(2(2(0(1(1(3(2(2(0(x1))))))))))))))))))
   0(3(2(0(3(0(0(1(2(1(2(0(1(2(1(3(0(0(x1)))))))))))))))))) -> 0(2(2(0(3(3(1(0(0(3(0(2(1(1(0(1(2(0(x1))))))))))))))))))
   0(3(3(0(0(0(1(3(2(2(3(2(1(3(0(0(2(1(x1)))))))))))))))))) -> 0(2(2(0(0(3(0(2(3(1(0(3(1(0(3(2(3(1(x1))))))))))))))))))
   1(0(0(1(0(0(3(3(0(0(2(1(2(1(3(3(1(3(x1)))))))))))))))))) -> 1(0(3(0(0(3(3(0(0(2(1(0(3(1(2(3(1(1(x1))))))))))))))))))
   1(0(3(1(2(0(3(3(2(1(2(0(0(1(0(2(1(3(x1)))))))))))))))))) -> 1(0(3(3(1(0(2(0(3(1(0(3(2(1(2(2(1(0(x1))))))))))))))))))
   1(1(2(0(3(0(1(3(0(2(3(3(3(2(2(3(0(3(x1)))))))))))))))))) -> 3(3(0(3(1(0(3(2(3(2(2(0(3(2(1(1(0(3(x1))))))))))))))))))
   1(1(2(0(3(0(2(1(3(3(0(3(3(3(3(3(1(2(x1)))))))))))))))))) -> 1(0(3(3(0(3(3(1(0(2(3(1(1(3(2(3(2(3(x1))))))))))))))))))
   1(1(2(1(0(0(3(0(3(1(3(0(1(3(1(3(3(3(x1)))))))))))))))))) -> 3(0(1(1(1(1(3(0(3(1(1(0(3(0(2(3(3(3(x1))))))))))))))))))
   1(1(3(2(1(0(0(3(3(1(1(3(2(0(1(2(1(1(x1)))))))))))))))))) -> 1(1(2(3(3(0(0(3(3(1(1(1(1(1(0(2(2(1(x1))))))))))))))))))
   1(2(2(3(3(2(0(1(3(1(2(0(3(0(3(2(0(2(x1)))))))))))))))))) -> 2(3(1(0(3(1(0(2(3(3(2(2(0(0(3(1(2(2(x1))))))))))))))))))
   1(2(3(1(3(0(1(2(2(0(2(0(1(1(1(1(0(1(x1)))))))))))))))))) -> 1(2(2(0(1(1(1(1(0(0(3(2(1(0(2(3(1(1(x1))))))))))))))))))
   1(3(0(1(3(1(2(1(2(1(2(2(2(1(3(0(1(3(x1)))))))))))))))))) -> 2(3(2(1(1(2(2(1(3(1(0(2(1(1(1(0(3(3(x1))))))))))))))))))
   1(3(0(3(0(1(3(1(2(1(0(2(1(1(3(0(1(1(x1)))))))))))))))))) -> 1(0(1(0(3(1(3(1(0(1(1(3(2(3(0(2(1(1(x1))))))))))))))))))
   1(3(2(1(0(1(2(1(3(1(1(3(3(3(0(2(1(3(x1)))))))))))))))))) -> 1(0(3(1(1(2(2(3(2(3(1(1(3(1(1(0(3(3(x1))))))))))))))))))
   1(3(3(0(3(2(1(1(1(0(1(3(2(3(1(1(2(1(x1)))))))))))))))))) -> 1(3(1(3(0(1(1(3(2(3(2(2(0(3(1(1(1(1(x1))))))))))))))))))
   1(3(3(1(3(2(2(2(2(2(0(1(2(2(0(3(0(3(x1)))))))))))))))))) -> 1(3(2(0(1(0(2(2(2(2(2(1(0(3(3(3(2(3(x1))))))))))))))))))
   1(3(3(3(1(2(0(1(2(0(0(2(1(3(3(3(0(2(x1)))))))))))))))))) -> 1(3(1(1(0(3(3(0(2(0(1(3(0(3(2(3(2(2(x1))))))))))))))))))
   2(0(1(2(0(0(0(2(2(1(3(2(1(0(1(0(2(0(x1)))))))))))))))))) -> 2(0(2(0(1(0(1(1(0(1(0(3(2(0(2(2(2(0(x1))))))))))))))))))
   2(0(3(2(0(3(1(0(0(0(1(3(0(0(3(0(2(2(x1)))))))))))))))))) -> 2(3(0(0(0(0(0(0(0(2(3(1(3(1(0(3(2(2(x1))))))))))))))))))
   2(1(0(0(3(0(0(0(1(3(0(1(3(0(1(3(2(1(x1)))))))))))))))))) -> 3(0(0(0(1(1(2(3(3(0(0(3(0(1(0(2(1(1(x1))))))))))))))))))
   2(1(0(1(1(2(2(3(3(2(1(2(1(2(2(3(0(2(x1)))))))))))))))))) -> 2(3(2(1(1(0(1(2(2(2(0(3(2(2(1(1(3(2(x1))))))))))))))))))
   2(1(0(2(0(1(0(3(2(1(3(1(1(3(2(2(1(0(x1)))))))))))))))))) -> 2(3(1(2(3(2(2(1(2(0(0(1(0(3(1(1(1(0(x1))))))))))))))))))
   2(1(1(1(0(1(0(0(3(3(0(3(2(0(1(2(1(3(x1)))))))))))))))))) -> 2(2(3(0(3(1(0(0(3(0(1(1(1(1(2(1(0(3(x1))))))))))))))))))
   2(1(1(3(0(2(1(3(2(2(3(3(3(1(3(2(3(3(x1)))))))))))))))))) -> 2(2(3(3(1(2(1(0(1(1(3(3(2(3(3(2(3(3(x1))))))))))))))))))
   2(1(2(2(1(0(1(3(0(1(1(0(0(3(3(2(2(3(x1)))))))))))))))))) -> 2(0(3(1(0(1(3(1(3(2(2(2(2(0(1(1(0(3(x1))))))))))))))))))
   2(1(3(0(3(0(1(0(1(3(3(0(1(3(3(0(2(3(x1)))))))))))))))))) -> 2(3(3(0(3(3(0(0(3(2(3(1(1(1(0(3(1(0(x1))))))))))))))))))
   2(1(3(1(1(2(1(2(3(0(3(2(0(1(0(1(2(1(x1)))))))))))))))))) -> 3(0(0(3(1(1(1(1(1(2(3(2(0(2(2(1(2(1(x1))))))))))))))))))
   2(2(1(0(1(3(2(2(0(2(2(2(2(0(2(2(1(2(x1)))))))))))))))))) -> 2(3(2(2(2(1(2(2(2(0(1(0(2(2(0(2(1(2(x1))))))))))))))))))
   2(2(1(2(0(1(3(0(1(1(1(1(2(2(0(0(2(2(x1)))))))))))))))))) -> 2(0(0(1(1(0(2(2(3(1(2(2(1(2(1(1(0(2(x1))))))))))))))))))
   2(2(1(2(2(2(2(2(1(3(2(1(3(0(3(3(1(2(x1)))))))))))))))))) -> 2(2(0(2(2(2(3(1(2(1(3(2(3(1(1(2(3(2(x1))))))))))))))))))
   2(2(1(2(2(2(3(2(0(3(3(0(1(2(0(2(3(3(x1)))))))))))))))))) -> 2(3(1(3(1(0(2(2(3(0(2(2(2(3(2(2(0(3(x1))))))))))))))))))
   2(2(1(2(3(2(1(1(1(0(0(3(3(1(2(2(1(3(x1)))))))))))))))))) -> 2(2(1(1(1(2(1(2(3(2(3(1(3(1(0(2(0(3(x1))))))))))))))))))
   2(2(1(3(0(1(3(0(1(2(0(2(2(1(3(2(2(2(x1)))))))))))))))))) -> 1(1(2(2(3(3(3(2(2(0(2(0(1(0(2(2(1(2(x1))))))))))))))))))
   2(2(3(0(2(3(1(2(0(2(2(1(3(0(0(1(3(2(x1)))))))))))))))))) -> 3(0(2(1(3(2(2(1(1(2(0(3(0(0(2(2(3(2(x1))))))))))))))))))
   2(2(3(1(0(3(0(2(1(3(2(2(2(3(3(3(1(2(x1)))))))))))))))))) -> 1(1(0(3(2(2(3(2(2(1(0(2(3(3(2(3(3(2(x1))))))))))))))))))
   2(2(3(1(1(2(0(2(0(3(0(0(2(1(0(1(3(2(x1)))))))))))))))))) -> 2(2(3(2(2(0(3(0(3(1(0(1(1(1(2(2(0(0(x1))))))))))))))))))
   2(2(3(1(3(1(3(0(2(1(3(1(2(3(1(3(3(1(x1)))))))))))))))))) -> 2(3(3(1(3(1(3(3(2(3(1(1(2(3(2(1(0(1(x1))))))))))))))))))
   2(3(2(1(2(0(3(0(1(3(3(3(0(2(3(0(0(0(x1)))))))))))))))))) -> 3(0(0(3(0(2(3(1(1(3(3(2(2(0(3(0(2(0(x1))))))))))))))))))
   2(3(2(1(3(1(2(0(0(1(3(0(1(2(0(3(1(1(x1)))))))))))))))))) -> 1(2(3(1(1(0(1(3(0(0(0(3(2(3(2(2(1(1(x1))))))))))))))))))
   2(3(3(1(3(1(0(0(1(1(3(3(3(1(2(2(1(3(x1)))))))))))))))))) -> 2(2(1(3(3(1(1(0(3(1(1(1(3(3(2(3(0(3(x1))))))))))))))))))
   3(0(0(3(1(3(3(2(2(1(1(0(2(1(2(0(2(0(x1)))))))))))))))))) -> 3(3(1(0(2(0(2(0(2(0(2(3(1(1(3(1(0(2(x1))))))))))))))))))
   3(0(1(0(0(1(3(0(0(1(3(0(1(2(0(3(3(3(x1)))))))))))))))))) -> 1(1(3(0(0(3(1(0(1(0(2(3(0(3(3(0(0(3(x1))))))))))))))))))
   3(0(1(0(2(0(3(1(3(3(1(3(3(0(2(2(3(0(x1)))))))))))))))))) -> 3(0(2(1(0(3(0(3(3(0(2(3(3(1(1(2(3(0(x1))))))))))))))))))
   3(0(1(3(2(2(3(2(0(1(0(0(3(0(1(0(2(0(x1)))))))))))))))))) -> 2(3(1(2(0(2(0(3(1(0(0(0(3(2(3(1(0(0(x1))))))))))))))))))
   3(0(1(3(2(3(3(2(0(1(1(2(0(1(3(1(3(2(x1)))))))))))))))))) -> 3(2(3(3(0(3(1(1(0(2(2(3(1(2(1(1(0(3(x1))))))))))))))))))
   3(0(2(1(3(3(0(1(1(3(0(1(2(3(1(2(1(3(x1)))))))))))))))))) -> 0(1(1(2(3(2(3(1(0(2(1(1(1(0(3(3(3(3(x1))))))))))))))))))
   3(0(3(0(1(3(0(2(0(1(1(0(1(0(2(3(0(3(x1)))))))))))))))))) -> 3(0(0(2(1(1(0(1(0(3(2(1(0(0(3(3(0(3(x1))))))))))))))))))
   3(0(3(2(0(3(1(1(2(1(3(3(2(1(0(3(2(1(x1)))))))))))))))))) -> 2(3(3(0(1(1(1(0(2(1(2(3(3(0(3(3(2(1(x1))))))))))))))))))
   3(0(3(2(2(3(2(0(3(0(2(2(1(2(0(2(2(0(x1)))))))))))))))))) -> 3(2(1(0(0(3(0(2(3(2(2(0(2(2(3(2(2(0(x1))))))))))))))))))
   3(1(1(3(1(3(3(0(3(1(3(0(2(1(2(2(1(3(x1)))))))))))))))))) -> 3(3(3(2(0(2(1(1(2(3(1(1(3(0(3(1(1(3(x1))))))))))))))))))
   3(1(2(0(3(0(1(2(0(3(3(2(3(2(2(1(2(3(x1)))))))))))))))))) -> 3(1(3(2(1(1(3(2(0(0(0(3(2(2(2(3(2(3(x1))))))))))))))))))
   3(1(2(3(0(2(2(1(1(3(1(0(0(1(0(2(3(0(x1)))))))))))))))))) -> 3(1(0(0(0(3(1(1(0(3(1(2(1(2(2(3(2(0(x1))))))))))))))))))
   3(1(3(3(0(2(2(2(0(1(2(0(1(0(1(2(2(0(x1)))))))))))))))))) -> 3(2(3(2(0(3(1(2(1(1(1(2(0(0(0(2(2(0(x1))))))))))))))))))
   3(2(0(1(0(0(0(3(1(3(1(3(3(2(0(1(1(1(x1)))))))))))))))))) -> 3(2(0(3(0(1(1(1(0(1(1(0(3(0(3(2(3(1(x1))))))))))))))))))
   3(2(0(1(2(1(2(3(2(3(2(0(2(1(2(1(2(0(x1)))))))))))))))))) -> 2(1(1(3(2(0(2(3(1(1(2(2(0(2(3(2(2(0(x1))))))))))))))))))
   3(2(0(2(2(0(0(2(3(0(2(3(0(1(2(2(0(2(x1)))))))))))))))))) -> 2(0(3(2(2(2(0(3(2(0(2(1(3(2(0(0(0(2(x1))))))))))))))))))
   3(2(0(2(2(3(0(0(1(3(0(2(0(0(2(1(3(0(x1)))))))))))))))))) -> 2(1(0(0(0(0(3(2(3(0(3(1(3(0(0(2(2(2(x1))))))))))))))))))
   3(2(1(2(3(3(1(2(1(1(2(3(0(2(3(1(2(3(x1)))))))))))))))))) -> 2(0(2(3(1(1(3(3(1(2(2(2(3(3(1(1(2(3(x1))))))))))))))))))
   3(2(1(3(2(2(3(3(3(2(1(2(0(1(0(1(1(2(x1)))))))))))))))))) -> 2(3(1(1(0(2(2(0(3(3(3(1(2(3(1(2(1(2(x1))))))))))))))))))
   3(2(2(3(1(2(2(2(1(3(3(3(0(2(1(3(2(1(x1)))))))))))))))))) -> 3(2(2(1(2(2(2(3(2(3(3(1(1(3(3(0(2(1(x1))))))))))))))))))
   3(2(3(1(1(1(3(2(2(1(2(1(0(0(3(1(3(3(x1)))))))))))))))))) -> 3(2(3(2(0(3(1(1(2(3(2(0(1(3(1(1(1(3(x1))))))))))))))))))
   3(2(3(2(1(3(0(1(2(1(2(2(1(0(1(1(0(0(x1)))))))))))))))))) -> 3(2(2(0(1(1(1(1(1(0(0(0(3(2(2(1(3(2(x1))))))))))))))))))
   3(2(3(3(0(2(3(2(0(2(3(2(2(1(3(3(0(3(x1)))))))))))))))))) -> 3(3(2(2(3(3(2(3(0(0(3(2(2(1(0(3(2(3(x1))))))))))))))))))
   3(3(0(1(0(1(3(3(3(2(2(3(3(0(3(3(0(3(x1)))))))))))))))))) -> 3(3(3(0(2(3(1(0(1(3(2(3(3(3(3(0(0(3(x1))))))))))))))))))
   3(3(0(2(3(3(0(0(2(1(0(3(0(1(0(1(0(2(x1)))))))))))))))))) -> 2(0(3(3(3(0(2(0(3(1(1(1(0(0(0(0(3(2(x1))))))))))))))))))
   3(3(0(3(1(3(3(1(2(0(3(2(2(2(3(2(3(0(x1)))))))))))))))))) -> 3(2(3(1(0(3(2(1(2(3(3(3(0(0(3(3(2(2(x1))))))))))))))))))
   3(3(1(1(3(0(2(1(3(2(0(1(2(3(3(3(2(3(x1)))))))))))))))))) -> 3(1(0(3(1(1(0(3(3(2(2(2(2(3(1(3(3(3(x1))))))))))))))))))
   3(3(2(0(3(1(2(2(3(1(3(2(3(2(2(1(2(0(x1)))))))))))))))))) -> 3(2(1(3(2(3(2(0(3(2(2(3(2(3(1(1(2(0(x1))))))))))))))))))
   3(3(2(0(3(2(1(2(2(1(2(0(1(2(3(3(2(0(x1)))))))))))))))))) -> 2(0(3(3(1(2(1(2(1(0(2(3(3(2(3(2(2(0(x1))))))))))))))))))
   3(3(2(1(1(1(1(3(0(0(3(1(2(0(2(2(3(0(x1)))))))))))))))))) -> 3(3(1(1(0(1(0(2(0(1(1(2(3(3(2(2(3(0(x1))))))))))))))))))
   3(3(3(0(1(3(3(1(2(3(0(2(1(3(2(1(0(0(x1)))))))))))))))))) -> 3(1(1(1(3(0(1(3(0(2(3(2(3(0(3(2(3(0(x1))))))))))))))))))
   3(3(3(1(3(0(3(3(1(3(0(1(0(0(2(1(2(0(x1)))))))))))))))))) -> 3(3(1(1(0(1(3(3(0(3(3(0(2(2(3(1(0(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(0(1(1(3(2(3(3(0(1(1(2(0(1(3(1(x1)))))))))))))))))) -> 0(0(0(1(1(1(0(1(3(3(1(0(3(2(0(2(3(1(x1))))))))))))))))))
   0(0(0(2(3(0(0(0(0(0(0(1(1(0(3(0(0(0(x1)))))))))))))))))) -> 0(0(3(1(0(0(0(0(2(0(0(0(3(1(0(0(0(0(x1))))))))))))))))))
   0(0(1(1(2(1(3(1(3(1(1(1(2(2(1(0(2(2(x1)))))))))))))))))) -> 2(1(1(1(1(0(3(1(1(1(2(0(3(1(0(2(2(2(x1))))))))))))))))))
   0(0(3(3(0(2(3(0(3(0(2(1(0(0(0(3(3(0(x1)))))))))))))))))) -> 0(0(3(1(0(3(0(0(3(3(0(3(3(0(0(2(0(2(x1))))))))))))))))))
   0(2(0(1(3(0(0(1(3(0(2(0(1(3(1(1(3(1(x1)))))))))))))))))) -> 0(2(0(1(3(1(1(2(1(0(0(3(3(0(0(1(3(1(x1))))))))))))))))))
   0(2(0(2(1(1(2(1(2(0(0(3(2(2(3(0(0(3(x1)))))))))))))))))) -> 0(3(2(2(0(2(2(2(2(0(3(0(1(0(1(1(0(3(x1))))))))))))))))))
   0(2(1(2(1(1(2(3(2(1(0(0(1(0(0(3(0(3(x1)))))))))))))))))) -> 0(3(2(0(0(1(2(1(0(2(1(1(3(1(0(0(2(3(x1))))))))))))))))))
   0(2(3(1(2(3(2(1(0(1(0(0(3(1(3(1(2(3(x1)))))))))))))))))) -> 0(2(3(3(1(2(1(1(1(0(2(3(1(0(2(0(3(3(x1))))))))))))))))))
   0(3(0(0(2(1(0(0(2(1(2(2(3(2(0(0(2(0(x1)))))))))))))))))) -> 0(2(0(0(0(2(0(3(0(2(2(0(1(1(3(2(2(0(x1))))))))))))))))))
   0(3(2(0(3(0(0(1(2(1(2(0(1(2(1(3(0(0(x1)))))))))))))))))) -> 0(2(2(0(3(3(1(0(0(3(0(2(1(1(0(1(2(0(x1))))))))))))))))))
   0(3(3(0(0(0(1(3(2(2(3(2(1(3(0(0(2(1(x1)))))))))))))))))) -> 0(2(2(0(0(3(0(2(3(1(0(3(1(0(3(2(3(1(x1))))))))))))))))))
   1(0(0(1(0(0(3(3(0(0(2(1(2(1(3(3(1(3(x1)))))))))))))))))) -> 1(0(3(0(0(3(3(0(0(2(1(0(3(1(2(3(1(1(x1))))))))))))))))))
   1(0(3(1(2(0(3(3(2(1(2(0(0(1(0(2(1(3(x1)))))))))))))))))) -> 1(0(3(3(1(0(2(0(3(1(0(3(2(1(2(2(1(0(x1))))))))))))))))))
   1(1(2(0(3(0(1(3(0(2(3(3(3(2(2(3(0(3(x1)))))))))))))))))) -> 3(3(0(3(1(0(3(2(3(2(2(0(3(2(1(1(0(3(x1))))))))))))))))))
   1(1(2(0(3(0(2(1(3(3(0(3(3(3(3(3(1(2(x1)))))))))))))))))) -> 1(0(3(3(0(3(3(1(0(2(3(1(1(3(2(3(2(3(x1))))))))))))))))))
   1(1(2(1(0(0(3(0(3(1(3(0(1(3(1(3(3(3(x1)))))))))))))))))) -> 3(0(1(1(1(1(3(0(3(1(1(0(3(0(2(3(3(3(x1))))))))))))))))))
   1(1(3(2(1(0(0(3(3(1(1(3(2(0(1(2(1(1(x1)))))))))))))))))) -> 1(1(2(3(3(0(0(3(3(1(1(1(1(1(0(2(2(1(x1))))))))))))))))))
   1(2(2(3(3(2(0(1(3(1(2(0(3(0(3(2(0(2(x1)))))))))))))))))) -> 2(3(1(0(3(1(0(2(3(3(2(2(0(0(3(1(2(2(x1))))))))))))))))))
   1(2(3(1(3(0(1(2(2(0(2(0(1(1(1(1(0(1(x1)))))))))))))))))) -> 1(2(2(0(1(1(1(1(0(0(3(2(1(0(2(3(1(1(x1))))))))))))))))))
   1(3(0(1(3(1(2(1(2(1(2(2(2(1(3(0(1(3(x1)))))))))))))))))) -> 2(3(2(1(1(2(2(1(3(1(0(2(1(1(1(0(3(3(x1))))))))))))))))))
   1(3(0(3(0(1(3(1(2(1(0(2(1(1(3(0(1(1(x1)))))))))))))))))) -> 1(0(1(0(3(1(3(1(0(1(1(3(2(3(0(2(1(1(x1))))))))))))))))))
   1(3(2(1(0(1(2(1(3(1(1(3(3(3(0(2(1(3(x1)))))))))))))))))) -> 1(0(3(1(1(2(2(3(2(3(1(1(3(1(1(0(3(3(x1))))))))))))))))))
   1(3(3(0(3(2(1(1(1(0(1(3(2(3(1(1(2(1(x1)))))))))))))))))) -> 1(3(1(3(0(1(1(3(2(3(2(2(0(3(1(1(1(1(x1))))))))))))))))))
   1(3(3(1(3(2(2(2(2(2(0(1(2(2(0(3(0(3(x1)))))))))))))))))) -> 1(3(2(0(1(0(2(2(2(2(2(1(0(3(3(3(2(3(x1))))))))))))))))))
   1(3(3(3(1(2(0(1(2(0(0(2(1(3(3(3(0(2(x1)))))))))))))))))) -> 1(3(1(1(0(3(3(0(2(0(1(3(0(3(2(3(2(2(x1))))))))))))))))))
   2(0(1(2(0(0(0(2(2(1(3(2(1(0(1(0(2(0(x1)))))))))))))))))) -> 2(0(2(0(1(0(1(1(0(1(0(3(2(0(2(2(2(0(x1))))))))))))))))))
   2(0(3(2(0(3(1(0(0(0(1(3(0(0(3(0(2(2(x1)))))))))))))))))) -> 2(3(0(0(0(0(0(0(0(2(3(1(3(1(0(3(2(2(x1))))))))))))))))))
   2(1(0(0(3(0(0(0(1(3(0(1(3(0(1(3(2(1(x1)))))))))))))))))) -> 3(0(0(0(1(1(2(3(3(0(0(3(0(1(0(2(1(1(x1))))))))))))))))))
   2(1(0(1(1(2(2(3(3(2(1(2(1(2(2(3(0(2(x1)))))))))))))))))) -> 2(3(2(1(1(0(1(2(2(2(0(3(2(2(1(1(3(2(x1))))))))))))))))))
   2(1(0(2(0(1(0(3(2(1(3(1(1(3(2(2(1(0(x1)))))))))))))))))) -> 2(3(1(2(3(2(2(1(2(0(0(1(0(3(1(1(1(0(x1))))))))))))))))))
   2(1(1(1(0(1(0(0(3(3(0(3(2(0(1(2(1(3(x1)))))))))))))))))) -> 2(2(3(0(3(1(0(0(3(0(1(1(1(1(2(1(0(3(x1))))))))))))))))))
   2(1(1(3(0(2(1(3(2(2(3(3(3(1(3(2(3(3(x1)))))))))))))))))) -> 2(2(3(3(1(2(1(0(1(1(3(3(2(3(3(2(3(3(x1))))))))))))))))))
   2(1(2(2(1(0(1(3(0(1(1(0(0(3(3(2(2(3(x1)))))))))))))))))) -> 2(0(3(1(0(1(3(1(3(2(2(2(2(0(1(1(0(3(x1))))))))))))))))))
   2(1(3(0(3(0(1(0(1(3(3(0(1(3(3(0(2(3(x1)))))))))))))))))) -> 2(3(3(0(3(3(0(0(3(2(3(1(1(1(0(3(1(0(x1))))))))))))))))))
   2(1(3(1(1(2(1(2(3(0(3(2(0(1(0(1(2(1(x1)))))))))))))))))) -> 3(0(0(3(1(1(1(1(1(2(3(2(0(2(2(1(2(1(x1))))))))))))))))))
   2(2(1(0(1(3(2(2(0(2(2(2(2(0(2(2(1(2(x1)))))))))))))))))) -> 2(3(2(2(2(1(2(2(2(0(1(0(2(2(0(2(1(2(x1))))))))))))))))))
   2(2(1(2(0(1(3(0(1(1(1(1(2(2(0(0(2(2(x1)))))))))))))))))) -> 2(0(0(1(1(0(2(2(3(1(2(2(1(2(1(1(0(2(x1))))))))))))))))))
   2(2(1(2(2(2(2(2(1(3(2(1(3(0(3(3(1(2(x1)))))))))))))))))) -> 2(2(0(2(2(2(3(1(2(1(3(2(3(1(1(2(3(2(x1))))))))))))))))))
   2(2(1(2(2(2(3(2(0(3(3(0(1(2(0(2(3(3(x1)))))))))))))))))) -> 2(3(1(3(1(0(2(2(3(0(2(2(2(3(2(2(0(3(x1))))))))))))))))))
   2(2(1(2(3(2(1(1(1(0(0(3(3(1(2(2(1(3(x1)))))))))))))))))) -> 2(2(1(1(1(2(1(2(3(2(3(1(3(1(0(2(0(3(x1))))))))))))))))))
   2(2(1(3(0(1(3(0(1(2(0(2(2(1(3(2(2(2(x1)))))))))))))))))) -> 1(1(2(2(3(3(3(2(2(0(2(0(1(0(2(2(1(2(x1))))))))))))))))))
   2(2(3(0(2(3(1(2(0(2(2(1(3(0(0(1(3(2(x1)))))))))))))))))) -> 3(0(2(1(3(2(2(1(1(2(0(3(0(0(2(2(3(2(x1))))))))))))))))))
   2(2(3(1(0(3(0(2(1(3(2(2(2(3(3(3(1(2(x1)))))))))))))))))) -> 1(1(0(3(2(2(3(2(2(1(0(2(3(3(2(3(3(2(x1))))))))))))))))))
   2(2(3(1(1(2(0(2(0(3(0(0(2(1(0(1(3(2(x1)))))))))))))))))) -> 2(2(3(2(2(0(3(0(3(1(0(1(1(1(2(2(0(0(x1))))))))))))))))))
   2(2(3(1(3(1(3(0(2(1(3(1(2(3(1(3(3(1(x1)))))))))))))))))) -> 2(3(3(1(3(1(3(3(2(3(1(1(2(3(2(1(0(1(x1))))))))))))))))))
   2(3(2(1(2(0(3(0(1(3(3(3(0(2(3(0(0(0(x1)))))))))))))))))) -> 3(0(0(3(0(2(3(1(1(3(3(2(2(0(3(0(2(0(x1))))))))))))))))))
   2(3(2(1(3(1(2(0(0(1(3(0(1(2(0(3(1(1(x1)))))))))))))))))) -> 1(2(3(1(1(0(1(3(0(0(0(3(2(3(2(2(1(1(x1))))))))))))))))))
   2(3(3(1(3(1(0(0(1(1(3(3(3(1(2(2(1(3(x1)))))))))))))))))) -> 2(2(1(3(3(1(1(0(3(1(1(1(3(3(2(3(0(3(x1))))))))))))))))))
   3(0(0(3(1(3(3(2(2(1(1(0(2(1(2(0(2(0(x1)))))))))))))))))) -> 3(3(1(0(2(0(2(0(2(0(2(3(1(1(3(1(0(2(x1))))))))))))))))))
   3(0(1(0(0(1(3(0(0(1(3(0(1(2(0(3(3(3(x1)))))))))))))))))) -> 1(1(3(0(0(3(1(0(1(0(2(3(0(3(3(0(0(3(x1))))))))))))))))))
   3(0(1(0(2(0(3(1(3(3(1(3(3(0(2(2(3(0(x1)))))))))))))))))) -> 3(0(2(1(0(3(0(3(3(0(2(3(3(1(1(2(3(0(x1))))))))))))))))))
   3(0(1(3(2(2(3(2(0(1(0(0(3(0(1(0(2(0(x1)))))))))))))))))) -> 2(3(1(2(0(2(0(3(1(0(0(0(3(2(3(1(0(0(x1))))))))))))))))))
   3(0(1(3(2(3(3(2(0(1(1(2(0(1(3(1(3(2(x1)))))))))))))))))) -> 3(2(3(3(0(3(1(1(0(2(2(3(1(2(1(1(0(3(x1))))))))))))))))))
   3(0(2(1(3(3(0(1(1(3(0(1(2(3(1(2(1(3(x1)))))))))))))))))) -> 0(1(1(2(3(2(3(1(0(2(1(1(1(0(3(3(3(3(x1))))))))))))))))))
   3(0(3(0(1(3(0(2(0(1(1(0(1(0(2(3(0(3(x1)))))))))))))))))) -> 3(0(0(2(1(1(0(1(0(3(2(1(0(0(3(3(0(3(x1))))))))))))))))))
   3(0(3(2(0(3(1(1(2(1(3(3(2(1(0(3(2(1(x1)))))))))))))))))) -> 2(3(3(0(1(1(1(0(2(1(2(3(3(0(3(3(2(1(x1))))))))))))))))))
   3(0(3(2(2(3(2(0(3(0(2(2(1(2(0(2(2(0(x1)))))))))))))))))) -> 3(2(1(0(0(3(0(2(3(2(2(0(2(2(3(2(2(0(x1))))))))))))))))))
   3(1(1(3(1(3(3(0(3(1(3(0(2(1(2(2(1(3(x1)))))))))))))))))) -> 3(3(3(2(0(2(1(1(2(3(1(1(3(0(3(1(1(3(x1))))))))))))))))))
   3(1(2(0(3(0(1(2(0(3(3(2(3(2(2(1(2(3(x1)))))))))))))))))) -> 3(1(3(2(1(1(3(2(0(0(0(3(2(2(2(3(2(3(x1))))))))))))))))))
   3(1(2(3(0(2(2(1(1(3(1(0(0(1(0(2(3(0(x1)))))))))))))))))) -> 3(1(0(0(0(3(1(1(0(3(1(2(1(2(2(3(2(0(x1))))))))))))))))))
   3(1(3(3(0(2(2(2(0(1(2(0(1(0(1(2(2(0(x1)))))))))))))))))) -> 3(2(3(2(0(3(1(2(1(1(1(2(0(0(0(2(2(0(x1))))))))))))))))))
   3(2(0(1(0(0(0(3(1(3(1(3(3(2(0(1(1(1(x1)))))))))))))))))) -> 3(2(0(3(0(1(1(1(0(1(1(0(3(0(3(2(3(1(x1))))))))))))))))))
   3(2(0(1(2(1(2(3(2(3(2(0(2(1(2(1(2(0(x1)))))))))))))))))) -> 2(1(1(3(2(0(2(3(1(1(2(2(0(2(3(2(2(0(x1))))))))))))))))))
   3(2(0(2(2(0(0(2(3(0(2(3(0(1(2(2(0(2(x1)))))))))))))))))) -> 2(0(3(2(2(2(0(3(2(0(2(1(3(2(0(0(0(2(x1))))))))))))))))))
   3(2(0(2(2(3(0(0(1(3(0(2(0(0(2(1(3(0(x1)))))))))))))))))) -> 2(1(0(0(0(0(3(2(3(0(3(1(3(0(0(2(2(2(x1))))))))))))))))))
   3(2(1(2(3(3(1(2(1(1(2(3(0(2(3(1(2(3(x1)))))))))))))))))) -> 2(0(2(3(1(1(3(3(1(2(2(2(3(3(1(1(2(3(x1))))))))))))))))))
   3(2(1(3(2(2(3(3(3(2(1(2(0(1(0(1(1(2(x1)))))))))))))))))) -> 2(3(1(1(0(2(2(0(3(3(3(1(2(3(1(2(1(2(x1))))))))))))))))))
   3(2(2(3(1(2(2(2(1(3(3(3(0(2(1(3(2(1(x1)))))))))))))))))) -> 3(2(2(1(2(2(2(3(2(3(3(1(1(3(3(0(2(1(x1))))))))))))))))))
   3(2(3(1(1(1(3(2(2(1(2(1(0(0(3(1(3(3(x1)))))))))))))))))) -> 3(2(3(2(0(3(1(1(2(3(2(0(1(3(1(1(1(3(x1))))))))))))))))))
   3(2(3(2(1(3(0(1(2(1(2(2(1(0(1(1(0(0(x1)))))))))))))))))) -> 3(2(2(0(1(1(1(1(1(0(0(0(3(2(2(1(3(2(x1))))))))))))))))))
   3(2(3(3(0(2(3(2(0(2(3(2(2(1(3(3(0(3(x1)))))))))))))))))) -> 3(3(2(2(3(3(2(3(0(0(3(2(2(1(0(3(2(3(x1))))))))))))))))))
   3(3(0(1(0(1(3(3(3(2(2(3(3(0(3(3(0(3(x1)))))))))))))))))) -> 3(3(3(0(2(3(1(0(1(3(2(3(3(3(3(0(0(3(x1))))))))))))))))))
   3(3(0(2(3(3(0(0(2(1(0(3(0(1(0(1(0(2(x1)))))))))))))))))) -> 2(0(3(3(3(0(2(0(3(1(1(1(0(0(0(0(3(2(x1))))))))))))))))))
   3(3(0(3(1(3(3(1(2(0(3(2(2(2(3(2(3(0(x1)))))))))))))))))) -> 3(2(3(1(0(3(2(1(2(3(3(3(0(0(3(3(2(2(x1))))))))))))))))))
   3(3(1(1(3(0(2(1(3(2(0(1(2(3(3(3(2(3(x1)))))))))))))))))) -> 3(1(0(3(1(1(0(3(3(2(2(2(2(3(1(3(3(3(x1))))))))))))))))))
   3(3(2(0(3(1(2(2(3(1(3(2(3(2(2(1(2(0(x1)))))))))))))))))) -> 3(2(1(3(2(3(2(0(3(2(2(3(2(3(1(1(2(0(x1))))))))))))))))))
   3(3(2(0(3(2(1(2(2(1(2(0(1(2(3(3(2(0(x1)))))))))))))))))) -> 2(0(3(3(1(2(1(2(1(0(2(3(3(2(3(2(2(0(x1))))))))))))))))))
   3(3(2(1(1(1(1(3(0(0(3(1(2(0(2(2(3(0(x1)))))))))))))))))) -> 3(3(1(1(0(1(0(2(0(1(1(2(3(3(2(2(3(0(x1))))))))))))))))))
   3(3(3(0(1(3(3(1(2(3(0(2(1(3(2(1(0(0(x1)))))))))))))))))) -> 3(1(1(1(3(0(1(3(0(2(3(2(3(0(3(2(3(0(x1))))))))))))))))))
   3(3(3(1(3(0(3(3(1(3(0(1(0(0(2(1(2(0(x1)))))))))))))))))) -> 3(3(1(1(0(1(3(3(0(3(3(0(2(2(3(1(0(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(0(1(1(3(2(3(3(0(1(1(2(0(1(3(1(x1)))))))))))))))))) -> 0(0(0(1(1(1(0(1(3(3(1(0(3(2(0(2(3(1(x1))))))))))))))))))
   0(0(0(2(3(0(0(0(0(0(0(1(1(0(3(0(0(0(x1)))))))))))))))))) -> 0(0(3(1(0(0(0(0(2(0(0(0(3(1(0(0(0(0(x1))))))))))))))))))
   0(0(1(1(2(1(3(1(3(1(1(1(2(2(1(0(2(2(x1)))))))))))))))))) -> 2(1(1(1(1(0(3(1(1(1(2(0(3(1(0(2(2(2(x1))))))))))))))))))
   0(0(3(3(0(2(3(0(3(0(2(1(0(0(0(3(3(0(x1)))))))))))))))))) -> 0(0(3(1(0(3(0(0(3(3(0(3(3(0(0(2(0(2(x1))))))))))))))))))
   0(2(0(1(3(0(0(1(3(0(2(0(1(3(1(1(3(1(x1)))))))))))))))))) -> 0(2(0(1(3(1(1(2(1(0(0(3(3(0(0(1(3(1(x1))))))))))))))))))
   0(2(0(2(1(1(2(1(2(0(0(3(2(2(3(0(0(3(x1)))))))))))))))))) -> 0(3(2(2(0(2(2(2(2(0(3(0(1(0(1(1(0(3(x1))))))))))))))))))
   0(2(1(2(1(1(2(3(2(1(0(0(1(0(0(3(0(3(x1)))))))))))))))))) -> 0(3(2(0(0(1(2(1(0(2(1(1(3(1(0(0(2(3(x1))))))))))))))))))
   0(2(3(1(2(3(2(1(0(1(0(0(3(1(3(1(2(3(x1)))))))))))))))))) -> 0(2(3(3(1(2(1(1(1(0(2(3(1(0(2(0(3(3(x1))))))))))))))))))
   0(3(0(0(2(1(0(0(2(1(2(2(3(2(0(0(2(0(x1)))))))))))))))))) -> 0(2(0(0(0(2(0(3(0(2(2(0(1(1(3(2(2(0(x1))))))))))))))))))
   0(3(2(0(3(0(0(1(2(1(2(0(1(2(1(3(0(0(x1)))))))))))))))))) -> 0(2(2(0(3(3(1(0(0(3(0(2(1(1(0(1(2(0(x1))))))))))))))))))
   0(3(3(0(0(0(1(3(2(2(3(2(1(3(0(0(2(1(x1)))))))))))))))))) -> 0(2(2(0(0(3(0(2(3(1(0(3(1(0(3(2(3(1(x1))))))))))))))))))
   1(0(0(1(0(0(3(3(0(0(2(1(2(1(3(3(1(3(x1)))))))))))))))))) -> 1(0(3(0(0(3(3(0(0(2(1(0(3(1(2(3(1(1(x1))))))))))))))))))
   1(0(3(1(2(0(3(3(2(1(2(0(0(1(0(2(1(3(x1)))))))))))))))))) -> 1(0(3(3(1(0(2(0(3(1(0(3(2(1(2(2(1(0(x1))))))))))))))))))
   1(1(2(0(3(0(1(3(0(2(3(3(3(2(2(3(0(3(x1)))))))))))))))))) -> 3(3(0(3(1(0(3(2(3(2(2(0(3(2(1(1(0(3(x1))))))))))))))))))
   1(1(2(0(3(0(2(1(3(3(0(3(3(3(3(3(1(2(x1)))))))))))))))))) -> 1(0(3(3(0(3(3(1(0(2(3(1(1(3(2(3(2(3(x1))))))))))))))))))
   1(1(2(1(0(0(3(0(3(1(3(0(1(3(1(3(3(3(x1)))))))))))))))))) -> 3(0(1(1(1(1(3(0(3(1(1(0(3(0(2(3(3(3(x1))))))))))))))))))
   1(1(3(2(1(0(0(3(3(1(1(3(2(0(1(2(1(1(x1)))))))))))))))))) -> 1(1(2(3(3(0(0(3(3(1(1(1(1(1(0(2(2(1(x1))))))))))))))))))
   1(2(2(3(3(2(0(1(3(1(2(0(3(0(3(2(0(2(x1)))))))))))))))))) -> 2(3(1(0(3(1(0(2(3(3(2(2(0(0(3(1(2(2(x1))))))))))))))))))
   1(2(3(1(3(0(1(2(2(0(2(0(1(1(1(1(0(1(x1)))))))))))))))))) -> 1(2(2(0(1(1(1(1(0(0(3(2(1(0(2(3(1(1(x1))))))))))))))))))
   1(3(0(1(3(1(2(1(2(1(2(2(2(1(3(0(1(3(x1)))))))))))))))))) -> 2(3(2(1(1(2(2(1(3(1(0(2(1(1(1(0(3(3(x1))))))))))))))))))
   1(3(0(3(0(1(3(1(2(1(0(2(1(1(3(0(1(1(x1)))))))))))))))))) -> 1(0(1(0(3(1(3(1(0(1(1(3(2(3(0(2(1(1(x1))))))))))))))))))
   1(3(2(1(0(1(2(1(3(1(1(3(3(3(0(2(1(3(x1)))))))))))))))))) -> 1(0(3(1(1(2(2(3(2(3(1(1(3(1(1(0(3(3(x1))))))))))))))))))
   1(3(3(0(3(2(1(1(1(0(1(3(2(3(1(1(2(1(x1)))))))))))))))))) -> 1(3(1(3(0(1(1(3(2(3(2(2(0(3(1(1(1(1(x1))))))))))))))))))
   1(3(3(1(3(2(2(2(2(2(0(1(2(2(0(3(0(3(x1)))))))))))))))))) -> 1(3(2(0(1(0(2(2(2(2(2(1(0(3(3(3(2(3(x1))))))))))))))))))
   1(3(3(3(1(2(0(1(2(0(0(2(1(3(3(3(0(2(x1)))))))))))))))))) -> 1(3(1(1(0(3(3(0(2(0(1(3(0(3(2(3(2(2(x1))))))))))))))))))
   2(0(1(2(0(0(0(2(2(1(3(2(1(0(1(0(2(0(x1)))))))))))))))))) -> 2(0(2(0(1(0(1(1(0(1(0(3(2(0(2(2(2(0(x1))))))))))))))))))
   2(0(3(2(0(3(1(0(0(0(1(3(0(0(3(0(2(2(x1)))))))))))))))))) -> 2(3(0(0(0(0(0(0(0(2(3(1(3(1(0(3(2(2(x1))))))))))))))))))
   2(1(0(0(3(0(0(0(1(3(0(1(3(0(1(3(2(1(x1)))))))))))))))))) -> 3(0(0(0(1(1(2(3(3(0(0(3(0(1(0(2(1(1(x1))))))))))))))))))
   2(1(0(1(1(2(2(3(3(2(1(2(1(2(2(3(0(2(x1)))))))))))))))))) -> 2(3(2(1(1(0(1(2(2(2(0(3(2(2(1(1(3(2(x1))))))))))))))))))
   2(1(0(2(0(1(0(3(2(1(3(1(1(3(2(2(1(0(x1)))))))))))))))))) -> 2(3(1(2(3(2(2(1(2(0(0(1(0(3(1(1(1(0(x1))))))))))))))))))
   2(1(1(1(0(1(0(0(3(3(0(3(2(0(1(2(1(3(x1)))))))))))))))))) -> 2(2(3(0(3(1(0(0(3(0(1(1(1(1(2(1(0(3(x1))))))))))))))))))
   2(1(1(3(0(2(1(3(2(2(3(3(3(1(3(2(3(3(x1)))))))))))))))))) -> 2(2(3(3(1(2(1(0(1(1(3(3(2(3(3(2(3(3(x1))))))))))))))))))
   2(1(2(2(1(0(1(3(0(1(1(0(0(3(3(2(2(3(x1)))))))))))))))))) -> 2(0(3(1(0(1(3(1(3(2(2(2(2(0(1(1(0(3(x1))))))))))))))))))
   2(1(3(0(3(0(1(0(1(3(3(0(1(3(3(0(2(3(x1)))))))))))))))))) -> 2(3(3(0(3(3(0(0(3(2(3(1(1(1(0(3(1(0(x1))))))))))))))))))
   2(1(3(1(1(2(1(2(3(0(3(2(0(1(0(1(2(1(x1)))))))))))))))))) -> 3(0(0(3(1(1(1(1(1(2(3(2(0(2(2(1(2(1(x1))))))))))))))))))
   2(2(1(0(1(3(2(2(0(2(2(2(2(0(2(2(1(2(x1)))))))))))))))))) -> 2(3(2(2(2(1(2(2(2(0(1(0(2(2(0(2(1(2(x1))))))))))))))))))
   2(2(1(2(0(1(3(0(1(1(1(1(2(2(0(0(2(2(x1)))))))))))))))))) -> 2(0(0(1(1(0(2(2(3(1(2(2(1(2(1(1(0(2(x1))))))))))))))))))
   2(2(1(2(2(2(2(2(1(3(2(1(3(0(3(3(1(2(x1)))))))))))))))))) -> 2(2(0(2(2(2(3(1(2(1(3(2(3(1(1(2(3(2(x1))))))))))))))))))
   2(2(1(2(2(2(3(2(0(3(3(0(1(2(0(2(3(3(x1)))))))))))))))))) -> 2(3(1(3(1(0(2(2(3(0(2(2(2(3(2(2(0(3(x1))))))))))))))))))
   2(2(1(2(3(2(1(1(1(0(0(3(3(1(2(2(1(3(x1)))))))))))))))))) -> 2(2(1(1(1(2(1(2(3(2(3(1(3(1(0(2(0(3(x1))))))))))))))))))
   2(2(1(3(0(1(3(0(1(2(0(2(2(1(3(2(2(2(x1)))))))))))))))))) -> 1(1(2(2(3(3(3(2(2(0(2(0(1(0(2(2(1(2(x1))))))))))))))))))
   2(2(3(0(2(3(1(2(0(2(2(1(3(0(0(1(3(2(x1)))))))))))))))))) -> 3(0(2(1(3(2(2(1(1(2(0(3(0(0(2(2(3(2(x1))))))))))))))))))
   2(2(3(1(0(3(0(2(1(3(2(2(2(3(3(3(1(2(x1)))))))))))))))))) -> 1(1(0(3(2(2(3(2(2(1(0(2(3(3(2(3(3(2(x1))))))))))))))))))
   2(2(3(1(1(2(0(2(0(3(0(0(2(1(0(1(3(2(x1)))))))))))))))))) -> 2(2(3(2(2(0(3(0(3(1(0(1(1(1(2(2(0(0(x1))))))))))))))))))
   2(2(3(1(3(1(3(0(2(1(3(1(2(3(1(3(3(1(x1)))))))))))))))))) -> 2(3(3(1(3(1(3(3(2(3(1(1(2(3(2(1(0(1(x1))))))))))))))))))
   2(3(2(1(2(0(3(0(1(3(3(3(0(2(3(0(0(0(x1)))))))))))))))))) -> 3(0(0(3(0(2(3(1(1(3(3(2(2(0(3(0(2(0(x1))))))))))))))))))
   2(3(2(1(3(1(2(0(0(1(3(0(1(2(0(3(1(1(x1)))))))))))))))))) -> 1(2(3(1(1(0(1(3(0(0(0(3(2(3(2(2(1(1(x1))))))))))))))))))
   2(3(3(1(3(1(0(0(1(1(3(3(3(1(2(2(1(3(x1)))))))))))))))))) -> 2(2(1(3(3(1(1(0(3(1(1(1(3(3(2(3(0(3(x1))))))))))))))))))
   3(0(0(3(1(3(3(2(2(1(1(0(2(1(2(0(2(0(x1)))))))))))))))))) -> 3(3(1(0(2(0(2(0(2(0(2(3(1(1(3(1(0(2(x1))))))))))))))))))
   3(0(1(0(0(1(3(0(0(1(3(0(1(2(0(3(3(3(x1)))))))))))))))))) -> 1(1(3(0(0(3(1(0(1(0(2(3(0(3(3(0(0(3(x1))))))))))))))))))
   3(0(1(0(2(0(3(1(3(3(1(3(3(0(2(2(3(0(x1)))))))))))))))))) -> 3(0(2(1(0(3(0(3(3(0(2(3(3(1(1(2(3(0(x1))))))))))))))))))
   3(0(1(3(2(2(3(2(0(1(0(0(3(0(1(0(2(0(x1)))))))))))))))))) -> 2(3(1(2(0(2(0(3(1(0(0(0(3(2(3(1(0(0(x1))))))))))))))))))
   3(0(1(3(2(3(3(2(0(1(1(2(0(1(3(1(3(2(x1)))))))))))))))))) -> 3(2(3(3(0(3(1(1(0(2(2(3(1(2(1(1(0(3(x1))))))))))))))))))
   3(0(2(1(3(3(0(1(1(3(0(1(2(3(1(2(1(3(x1)))))))))))))))))) -> 0(1(1(2(3(2(3(1(0(2(1(1(1(0(3(3(3(3(x1))))))))))))))))))
   3(0(3(0(1(3(0(2(0(1(1(0(1(0(2(3(0(3(x1)))))))))))))))))) -> 3(0(0(2(1(1(0(1(0(3(2(1(0(0(3(3(0(3(x1))))))))))))))))))
   3(0(3(2(0(3(1(1(2(1(3(3(2(1(0(3(2(1(x1)))))))))))))))))) -> 2(3(3(0(1(1(1(0(2(1(2(3(3(0(3(3(2(1(x1))))))))))))))))))
   3(0(3(2(2(3(2(0(3(0(2(2(1(2(0(2(2(0(x1)))))))))))))))))) -> 3(2(1(0(0(3(0(2(3(2(2(0(2(2(3(2(2(0(x1))))))))))))))))))
   3(1(1(3(1(3(3(0(3(1(3(0(2(1(2(2(1(3(x1)))))))))))))))))) -> 3(3(3(2(0(2(1(1(2(3(1(1(3(0(3(1(1(3(x1))))))))))))))))))
   3(1(2(0(3(0(1(2(0(3(3(2(3(2(2(1(2(3(x1)))))))))))))))))) -> 3(1(3(2(1(1(3(2(0(0(0(3(2(2(2(3(2(3(x1))))))))))))))))))
   3(1(2(3(0(2(2(1(1(3(1(0(0(1(0(2(3(0(x1)))))))))))))))))) -> 3(1(0(0(0(3(1(1(0(3(1(2(1(2(2(3(2(0(x1))))))))))))))))))
   3(1(3(3(0(2(2(2(0(1(2(0(1(0(1(2(2(0(x1)))))))))))))))))) -> 3(2(3(2(0(3(1(2(1(1(1(2(0(0(0(2(2(0(x1))))))))))))))))))
   3(2(0(1(0(0(0(3(1(3(1(3(3(2(0(1(1(1(x1)))))))))))))))))) -> 3(2(0(3(0(1(1(1(0(1(1(0(3(0(3(2(3(1(x1))))))))))))))))))
   3(2(0(1(2(1(2(3(2(3(2(0(2(1(2(1(2(0(x1)))))))))))))))))) -> 2(1(1(3(2(0(2(3(1(1(2(2(0(2(3(2(2(0(x1))))))))))))))))))
   3(2(0(2(2(0(0(2(3(0(2(3(0(1(2(2(0(2(x1)))))))))))))))))) -> 2(0(3(2(2(2(0(3(2(0(2(1(3(2(0(0(0(2(x1))))))))))))))))))
   3(2(0(2(2(3(0(0(1(3(0(2(0(0(2(1(3(0(x1)))))))))))))))))) -> 2(1(0(0(0(0(3(2(3(0(3(1(3(0(0(2(2(2(x1))))))))))))))))))
   3(2(1(2(3(3(1(2(1(1(2(3(0(2(3(1(2(3(x1)))))))))))))))))) -> 2(0(2(3(1(1(3(3(1(2(2(2(3(3(1(1(2(3(x1))))))))))))))))))
   3(2(1(3(2(2(3(3(3(2(1(2(0(1(0(1(1(2(x1)))))))))))))))))) -> 2(3(1(1(0(2(2(0(3(3(3(1(2(3(1(2(1(2(x1))))))))))))))))))
   3(2(2(3(1(2(2(2(1(3(3(3(0(2(1(3(2(1(x1)))))))))))))))))) -> 3(2(2(1(2(2(2(3(2(3(3(1(1(3(3(0(2(1(x1))))))))))))))))))
   3(2(3(1(1(1(3(2(2(1(2(1(0(0(3(1(3(3(x1)))))))))))))))))) -> 3(2(3(2(0(3(1(1(2(3(2(0(1(3(1(1(1(3(x1))))))))))))))))))
   3(2(3(2(1(3(0(1(2(1(2(2(1(0(1(1(0(0(x1)))))))))))))))))) -> 3(2(2(0(1(1(1(1(1(0(0(0(3(2(2(1(3(2(x1))))))))))))))))))
   3(2(3(3(0(2(3(2(0(2(3(2(2(1(3(3(0(3(x1)))))))))))))))))) -> 3(3(2(2(3(3(2(3(0(0(3(2(2(1(0(3(2(3(x1))))))))))))))))))
   3(3(0(1(0(1(3(3(3(2(2(3(3(0(3(3(0(3(x1)))))))))))))))))) -> 3(3(3(0(2(3(1(0(1(3(2(3(3(3(3(0(0(3(x1))))))))))))))))))
   3(3(0(2(3(3(0(0(2(1(0(3(0(1(0(1(0(2(x1)))))))))))))))))) -> 2(0(3(3(3(0(2(0(3(1(1(1(0(0(0(0(3(2(x1))))))))))))))))))
   3(3(0(3(1(3(3(1(2(0(3(2(2(2(3(2(3(0(x1)))))))))))))))))) -> 3(2(3(1(0(3(2(1(2(3(3(3(0(0(3(3(2(2(x1))))))))))))))))))
   3(3(1(1(3(0(2(1(3(2(0(1(2(3(3(3(2(3(x1)))))))))))))))))) -> 3(1(0(3(1(1(0(3(3(2(2(2(2(3(1(3(3(3(x1))))))))))))))))))
   3(3(2(0(3(1(2(2(3(1(3(2(3(2(2(1(2(0(x1)))))))))))))))))) -> 3(2(1(3(2(3(2(0(3(2(2(3(2(3(1(1(2(0(x1))))))))))))))))))
   3(3(2(0(3(2(1(2(2(1(2(0(1(2(3(3(2(0(x1)))))))))))))))))) -> 2(0(3(3(1(2(1(2(1(0(2(3(3(2(3(2(2(0(x1))))))))))))))))))
   3(3(2(1(1(1(1(3(0(0(3(1(2(0(2(2(3(0(x1)))))))))))))))))) -> 3(3(1(1(0(1(0(2(0(1(1(2(3(3(2(2(3(0(x1))))))))))))))))))
   3(3(3(0(1(3(3(1(2(3(0(2(1(3(2(1(0(0(x1)))))))))))))))))) -> 3(1(1(1(3(0(1(3(0(2(3(2(3(0(3(2(3(0(x1))))))))))))))))))
   3(3(3(1(3(0(3(3(1(3(0(1(0(0(2(1(2(0(x1)))))))))))))))))) -> 3(3(1(1(0(1(3(3(0(3(3(0(2(2(3(1(0(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(0(1(1(3(2(3(3(0(1(1(2(0(1(3(1(x1)))))))))))))))))) -> 0(0(0(1(1(1(0(1(3(3(1(0(3(2(0(2(3(1(x1))))))))))))))))))
   0(0(0(2(3(0(0(0(0(0(0(1(1(0(3(0(0(0(x1)))))))))))))))))) -> 0(0(3(1(0(0(0(0(2(0(0(0(3(1(0(0(0(0(x1))))))))))))))))))
   0(0(1(1(2(1(3(1(3(1(1(1(2(2(1(0(2(2(x1)))))))))))))))))) -> 2(1(1(1(1(0(3(1(1(1(2(0(3(1(0(2(2(2(x1))))))))))))))))))
   0(0(3(3(0(2(3(0(3(0(2(1(0(0(0(3(3(0(x1)))))))))))))))))) -> 0(0(3(1(0(3(0(0(3(3(0(3(3(0(0(2(0(2(x1))))))))))))))))))
   0(2(0(1(3(0(0(1(3(0(2(0(1(3(1(1(3(1(x1)))))))))))))))))) -> 0(2(0(1(3(1(1(2(1(0(0(3(3(0(0(1(3(1(x1))))))))))))))))))
   0(2(0(2(1(1(2(1(2(0(0(3(2(2(3(0(0(3(x1)))))))))))))))))) -> 0(3(2(2(0(2(2(2(2(0(3(0(1(0(1(1(0(3(x1))))))))))))))))))
   0(2(1(2(1(1(2(3(2(1(0(0(1(0(0(3(0(3(x1)))))))))))))))))) -> 0(3(2(0(0(1(2(1(0(2(1(1(3(1(0(0(2(3(x1))))))))))))))))))
   0(2(3(1(2(3(2(1(0(1(0(0(3(1(3(1(2(3(x1)))))))))))))))))) -> 0(2(3(3(1(2(1(1(1(0(2(3(1(0(2(0(3(3(x1))))))))))))))))))
   0(3(0(0(2(1(0(0(2(1(2(2(3(2(0(0(2(0(x1)))))))))))))))))) -> 0(2(0(0(0(2(0(3(0(2(2(0(1(1(3(2(2(0(x1))))))))))))))))))
   0(3(2(0(3(0(0(1(2(1(2(0(1(2(1(3(0(0(x1)))))))))))))))))) -> 0(2(2(0(3(3(1(0(0(3(0(2(1(1(0(1(2(0(x1))))))))))))))))))
   0(3(3(0(0(0(1(3(2(2(3(2(1(3(0(0(2(1(x1)))))))))))))))))) -> 0(2(2(0(0(3(0(2(3(1(0(3(1(0(3(2(3(1(x1))))))))))))))))))
   1(0(0(1(0(0(3(3(0(0(2(1(2(1(3(3(1(3(x1)))))))))))))))))) -> 1(0(3(0(0(3(3(0(0(2(1(0(3(1(2(3(1(1(x1))))))))))))))))))
   1(0(3(1(2(0(3(3(2(1(2(0(0(1(0(2(1(3(x1)))))))))))))))))) -> 1(0(3(3(1(0(2(0(3(1(0(3(2(1(2(2(1(0(x1))))))))))))))))))
   1(1(2(0(3(0(1(3(0(2(3(3(3(2(2(3(0(3(x1)))))))))))))))))) -> 3(3(0(3(1(0(3(2(3(2(2(0(3(2(1(1(0(3(x1))))))))))))))))))
   1(1(2(0(3(0(2(1(3(3(0(3(3(3(3(3(1(2(x1)))))))))))))))))) -> 1(0(3(3(0(3(3(1(0(2(3(1(1(3(2(3(2(3(x1))))))))))))))))))
   1(1(2(1(0(0(3(0(3(1(3(0(1(3(1(3(3(3(x1)))))))))))))))))) -> 3(0(1(1(1(1(3(0(3(1(1(0(3(0(2(3(3(3(x1))))))))))))))))))
   1(1(3(2(1(0(0(3(3(1(1(3(2(0(1(2(1(1(x1)))))))))))))))))) -> 1(1(2(3(3(0(0(3(3(1(1(1(1(1(0(2(2(1(x1))))))))))))))))))
   1(2(2(3(3(2(0(1(3(1(2(0(3(0(3(2(0(2(x1)))))))))))))))))) -> 2(3(1(0(3(1(0(2(3(3(2(2(0(0(3(1(2(2(x1))))))))))))))))))
   1(2(3(1(3(0(1(2(2(0(2(0(1(1(1(1(0(1(x1)))))))))))))))))) -> 1(2(2(0(1(1(1(1(0(0(3(2(1(0(2(3(1(1(x1))))))))))))))))))
   1(3(0(1(3(1(2(1(2(1(2(2(2(1(3(0(1(3(x1)))))))))))))))))) -> 2(3(2(1(1(2(2(1(3(1(0(2(1(1(1(0(3(3(x1))))))))))))))))))
   1(3(0(3(0(1(3(1(2(1(0(2(1(1(3(0(1(1(x1)))))))))))))))))) -> 1(0(1(0(3(1(3(1(0(1(1(3(2(3(0(2(1(1(x1))))))))))))))))))
   1(3(2(1(0(1(2(1(3(1(1(3(3(3(0(2(1(3(x1)))))))))))))))))) -> 1(0(3(1(1(2(2(3(2(3(1(1(3(1(1(0(3(3(x1))))))))))))))))))
   1(3(3(0(3(2(1(1(1(0(1(3(2(3(1(1(2(1(x1)))))))))))))))))) -> 1(3(1(3(0(1(1(3(2(3(2(2(0(3(1(1(1(1(x1))))))))))))))))))
   1(3(3(1(3(2(2(2(2(2(0(1(2(2(0(3(0(3(x1)))))))))))))))))) -> 1(3(2(0(1(0(2(2(2(2(2(1(0(3(3(3(2(3(x1))))))))))))))))))
   1(3(3(3(1(2(0(1(2(0(0(2(1(3(3(3(0(2(x1)))))))))))))))))) -> 1(3(1(1(0(3(3(0(2(0(1(3(0(3(2(3(2(2(x1))))))))))))))))))
   2(0(1(2(0(0(0(2(2(1(3(2(1(0(1(0(2(0(x1)))))))))))))))))) -> 2(0(2(0(1(0(1(1(0(1(0(3(2(0(2(2(2(0(x1))))))))))))))))))
   2(0(3(2(0(3(1(0(0(0(1(3(0(0(3(0(2(2(x1)))))))))))))))))) -> 2(3(0(0(0(0(0(0(0(2(3(1(3(1(0(3(2(2(x1))))))))))))))))))
   2(1(0(0(3(0(0(0(1(3(0(1(3(0(1(3(2(1(x1)))))))))))))))))) -> 3(0(0(0(1(1(2(3(3(0(0(3(0(1(0(2(1(1(x1))))))))))))))))))
   2(1(0(1(1(2(2(3(3(2(1(2(1(2(2(3(0(2(x1)))))))))))))))))) -> 2(3(2(1(1(0(1(2(2(2(0(3(2(2(1(1(3(2(x1))))))))))))))))))
   2(1(0(2(0(1(0(3(2(1(3(1(1(3(2(2(1(0(x1)))))))))))))))))) -> 2(3(1(2(3(2(2(1(2(0(0(1(0(3(1(1(1(0(x1))))))))))))))))))
   2(1(1(1(0(1(0(0(3(3(0(3(2(0(1(2(1(3(x1)))))))))))))))))) -> 2(2(3(0(3(1(0(0(3(0(1(1(1(1(2(1(0(3(x1))))))))))))))))))
   2(1(1(3(0(2(1(3(2(2(3(3(3(1(3(2(3(3(x1)))))))))))))))))) -> 2(2(3(3(1(2(1(0(1(1(3(3(2(3(3(2(3(3(x1))))))))))))))))))
   2(1(2(2(1(0(1(3(0(1(1(0(0(3(3(2(2(3(x1)))))))))))))))))) -> 2(0(3(1(0(1(3(1(3(2(2(2(2(0(1(1(0(3(x1))))))))))))))))))
   2(1(3(0(3(0(1(0(1(3(3(0(1(3(3(0(2(3(x1)))))))))))))))))) -> 2(3(3(0(3(3(0(0(3(2(3(1(1(1(0(3(1(0(x1))))))))))))))))))
   2(1(3(1(1(2(1(2(3(0(3(2(0(1(0(1(2(1(x1)))))))))))))))))) -> 3(0(0(3(1(1(1(1(1(2(3(2(0(2(2(1(2(1(x1))))))))))))))))))
   2(2(1(0(1(3(2(2(0(2(2(2(2(0(2(2(1(2(x1)))))))))))))))))) -> 2(3(2(2(2(1(2(2(2(0(1(0(2(2(0(2(1(2(x1))))))))))))))))))
   2(2(1(2(0(1(3(0(1(1(1(1(2(2(0(0(2(2(x1)))))))))))))))))) -> 2(0(0(1(1(0(2(2(3(1(2(2(1(2(1(1(0(2(x1))))))))))))))))))
   2(2(1(2(2(2(2(2(1(3(2(1(3(0(3(3(1(2(x1)))))))))))))))))) -> 2(2(0(2(2(2(3(1(2(1(3(2(3(1(1(2(3(2(x1))))))))))))))))))
   2(2(1(2(2(2(3(2(0(3(3(0(1(2(0(2(3(3(x1)))))))))))))))))) -> 2(3(1(3(1(0(2(2(3(0(2(2(2(3(2(2(0(3(x1))))))))))))))))))
   2(2(1(2(3(2(1(1(1(0(0(3(3(1(2(2(1(3(x1)))))))))))))))))) -> 2(2(1(1(1(2(1(2(3(2(3(1(3(1(0(2(0(3(x1))))))))))))))))))
   2(2(1(3(0(1(3(0(1(2(0(2(2(1(3(2(2(2(x1)))))))))))))))))) -> 1(1(2(2(3(3(3(2(2(0(2(0(1(0(2(2(1(2(x1))))))))))))))))))
   2(2(3(0(2(3(1(2(0(2(2(1(3(0(0(1(3(2(x1)))))))))))))))))) -> 3(0(2(1(3(2(2(1(1(2(0(3(0(0(2(2(3(2(x1))))))))))))))))))
   2(2(3(1(0(3(0(2(1(3(2(2(2(3(3(3(1(2(x1)))))))))))))))))) -> 1(1(0(3(2(2(3(2(2(1(0(2(3(3(2(3(3(2(x1))))))))))))))))))
   2(2(3(1(1(2(0(2(0(3(0(0(2(1(0(1(3(2(x1)))))))))))))))))) -> 2(2(3(2(2(0(3(0(3(1(0(1(1(1(2(2(0(0(x1))))))))))))))))))
   2(2(3(1(3(1(3(0(2(1(3(1(2(3(1(3(3(1(x1)))))))))))))))))) -> 2(3(3(1(3(1(3(3(2(3(1(1(2(3(2(1(0(1(x1))))))))))))))))))
   2(3(2(1(2(0(3(0(1(3(3(3(0(2(3(0(0(0(x1)))))))))))))))))) -> 3(0(0(3(0(2(3(1(1(3(3(2(2(0(3(0(2(0(x1))))))))))))))))))
   2(3(2(1(3(1(2(0(0(1(3(0(1(2(0(3(1(1(x1)))))))))))))))))) -> 1(2(3(1(1(0(1(3(0(0(0(3(2(3(2(2(1(1(x1))))))))))))))))))
   2(3(3(1(3(1(0(0(1(1(3(3(3(1(2(2(1(3(x1)))))))))))))))))) -> 2(2(1(3(3(1(1(0(3(1(1(1(3(3(2(3(0(3(x1))))))))))))))))))
   3(0(0(3(1(3(3(2(2(1(1(0(2(1(2(0(2(0(x1)))))))))))))))))) -> 3(3(1(0(2(0(2(0(2(0(2(3(1(1(3(1(0(2(x1))))))))))))))))))
   3(0(1(0(0(1(3(0(0(1(3(0(1(2(0(3(3(3(x1)))))))))))))))))) -> 1(1(3(0(0(3(1(0(1(0(2(3(0(3(3(0(0(3(x1))))))))))))))))))
   3(0(1(0(2(0(3(1(3(3(1(3(3(0(2(2(3(0(x1)))))))))))))))))) -> 3(0(2(1(0(3(0(3(3(0(2(3(3(1(1(2(3(0(x1))))))))))))))))))
   3(0(1(3(2(2(3(2(0(1(0(0(3(0(1(0(2(0(x1)))))))))))))))))) -> 2(3(1(2(0(2(0(3(1(0(0(0(3(2(3(1(0(0(x1))))))))))))))))))
   3(0(1(3(2(3(3(2(0(1(1(2(0(1(3(1(3(2(x1)))))))))))))))))) -> 3(2(3(3(0(3(1(1(0(2(2(3(1(2(1(1(0(3(x1))))))))))))))))))
   3(0(2(1(3(3(0(1(1(3(0(1(2(3(1(2(1(3(x1)))))))))))))))))) -> 0(1(1(2(3(2(3(1(0(2(1(1(1(0(3(3(3(3(x1))))))))))))))))))
   3(0(3(0(1(3(0(2(0(1(1(0(1(0(2(3(0(3(x1)))))))))))))))))) -> 3(0(0(2(1(1(0(1(0(3(2(1(0(0(3(3(0(3(x1))))))))))))))))))
   3(0(3(2(0(3(1(1(2(1(3(3(2(1(0(3(2(1(x1)))))))))))))))))) -> 2(3(3(0(1(1(1(0(2(1(2(3(3(0(3(3(2(1(x1))))))))))))))))))
   3(0(3(2(2(3(2(0(3(0(2(2(1(2(0(2(2(0(x1)))))))))))))))))) -> 3(2(1(0(0(3(0(2(3(2(2(0(2(2(3(2(2(0(x1))))))))))))))))))
   3(1(1(3(1(3(3(0(3(1(3(0(2(1(2(2(1(3(x1)))))))))))))))))) -> 3(3(3(2(0(2(1(1(2(3(1(1(3(0(3(1(1(3(x1))))))))))))))))))
   3(1(2(0(3(0(1(2(0(3(3(2(3(2(2(1(2(3(x1)))))))))))))))))) -> 3(1(3(2(1(1(3(2(0(0(0(3(2(2(2(3(2(3(x1))))))))))))))))))
   3(1(2(3(0(2(2(1(1(3(1(0(0(1(0(2(3(0(x1)))))))))))))))))) -> 3(1(0(0(0(3(1(1(0(3(1(2(1(2(2(3(2(0(x1))))))))))))))))))
   3(1(3(3(0(2(2(2(0(1(2(0(1(0(1(2(2(0(x1)))))))))))))))))) -> 3(2(3(2(0(3(1(2(1(1(1(2(0(0(0(2(2(0(x1))))))))))))))))))
   3(2(0(1(0(0(0(3(1(3(1(3(3(2(0(1(1(1(x1)))))))))))))))))) -> 3(2(0(3(0(1(1(1(0(1(1(0(3(0(3(2(3(1(x1))))))))))))))))))
   3(2(0(1(2(1(2(3(2(3(2(0(2(1(2(1(2(0(x1)))))))))))))))))) -> 2(1(1(3(2(0(2(3(1(1(2(2(0(2(3(2(2(0(x1))))))))))))))))))
   3(2(0(2(2(0(0(2(3(0(2(3(0(1(2(2(0(2(x1)))))))))))))))))) -> 2(0(3(2(2(2(0(3(2(0(2(1(3(2(0(0(0(2(x1))))))))))))))))))
   3(2(0(2(2(3(0(0(1(3(0(2(0(0(2(1(3(0(x1)))))))))))))))))) -> 2(1(0(0(0(0(3(2(3(0(3(1(3(0(0(2(2(2(x1))))))))))))))))))
   3(2(1(2(3(3(1(2(1(1(2(3(0(2(3(1(2(3(x1)))))))))))))))))) -> 2(0(2(3(1(1(3(3(1(2(2(2(3(3(1(1(2(3(x1))))))))))))))))))
   3(2(1(3(2(2(3(3(3(2(1(2(0(1(0(1(1(2(x1)))))))))))))))))) -> 2(3(1(1(0(2(2(0(3(3(3(1(2(3(1(2(1(2(x1))))))))))))))))))
   3(2(2(3(1(2(2(2(1(3(3(3(0(2(1(3(2(1(x1)))))))))))))))))) -> 3(2(2(1(2(2(2(3(2(3(3(1(1(3(3(0(2(1(x1))))))))))))))))))
   3(2(3(1(1(1(3(2(2(1(2(1(0(0(3(1(3(3(x1)))))))))))))))))) -> 3(2(3(2(0(3(1(1(2(3(2(0(1(3(1(1(1(3(x1))))))))))))))))))
   3(2(3(2(1(3(0(1(2(1(2(2(1(0(1(1(0(0(x1)))))))))))))))))) -> 3(2(2(0(1(1(1(1(1(0(0(0(3(2(2(1(3(2(x1))))))))))))))))))
   3(2(3(3(0(2(3(2(0(2(3(2(2(1(3(3(0(3(x1)))))))))))))))))) -> 3(3(2(2(3(3(2(3(0(0(3(2(2(1(0(3(2(3(x1))))))))))))))))))
   3(3(0(1(0(1(3(3(3(2(2(3(3(0(3(3(0(3(x1)))))))))))))))))) -> 3(3(3(0(2(3(1(0(1(3(2(3(3(3(3(0(0(3(x1))))))))))))))))))
   3(3(0(2(3(3(0(0(2(1(0(3(0(1(0(1(0(2(x1)))))))))))))))))) -> 2(0(3(3(3(0(2(0(3(1(1(1(0(0(0(0(3(2(x1))))))))))))))))))
   3(3(0(3(1(3(3(1(2(0(3(2(2(2(3(2(3(0(x1)))))))))))))))))) -> 3(2(3(1(0(3(2(1(2(3(3(3(0(0(3(3(2(2(x1))))))))))))))))))
   3(3(1(1(3(0(2(1(3(2(0(1(2(3(3(3(2(3(x1)))))))))))))))))) -> 3(1(0(3(1(1(0(3(3(2(2(2(2(3(1(3(3(3(x1))))))))))))))))))
   3(3(2(0(3(1(2(2(3(1(3(2(3(2(2(1(2(0(x1)))))))))))))))))) -> 3(2(1(3(2(3(2(0(3(2(2(3(2(3(1(1(2(0(x1))))))))))))))))))
   3(3(2(0(3(2(1(2(2(1(2(0(1(2(3(3(2(0(x1)))))))))))))))))) -> 2(0(3(3(1(2(1(2(1(0(2(3(3(2(3(2(2(0(x1))))))))))))))))))
   3(3(2(1(1(1(1(3(0(0(3(1(2(0(2(2(3(0(x1)))))))))))))))))) -> 3(3(1(1(0(1(0(2(0(1(1(2(3(3(2(2(3(0(x1))))))))))))))))))
   3(3(3(0(1(3(3(1(2(3(0(2(1(3(2(1(0(0(x1)))))))))))))))))) -> 3(1(1(1(3(0(1(3(0(2(3(2(3(0(3(2(3(0(x1))))))))))))))))))
   3(3(3(1(3(0(3(3(1(3(0(1(0(0(2(1(2(0(x1)))))))))))))))))) -> 3(3(1(1(0(1(3(3(0(3(3(0(2(2(3(1(0(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(0(1(1(3(2(3(3(0(1(1(2(0(1(3(1(x1)))))))))))))))))) -> 0(0(0(1(1(1(0(1(3(3(1(0(3(2(0(2(3(1(x1))))))))))))))))))
   0(0(0(2(3(0(0(0(0(0(0(1(1(0(3(0(0(0(x1)))))))))))))))))) -> 0(0(3(1(0(0(0(0(2(0(0(0(3(1(0(0(0(0(x1))))))))))))))))))
   0(0(1(1(2(1(3(1(3(1(1(1(2(2(1(0(2(2(x1)))))))))))))))))) -> 2(1(1(1(1(0(3(1(1(1(2(0(3(1(0(2(2(2(x1))))))))))))))))))
   0(0(3(3(0(2(3(0(3(0(2(1(0(0(0(3(3(0(x1)))))))))))))))))) -> 0(0(3(1(0(3(0(0(3(3(0(3(3(0(0(2(0(2(x1))))))))))))))))))
   0(2(0(1(3(0(0(1(3(0(2(0(1(3(1(1(3(1(x1)))))))))))))))))) -> 0(2(0(1(3(1(1(2(1(0(0(3(3(0(0(1(3(1(x1))))))))))))))))))
   0(2(0(2(1(1(2(1(2(0(0(3(2(2(3(0(0(3(x1)))))))))))))))))) -> 0(3(2(2(0(2(2(2(2(0(3(0(1(0(1(1(0(3(x1))))))))))))))))))
   0(2(1(2(1(1(2(3(2(1(0(0(1(0(0(3(0(3(x1)))))))))))))))))) -> 0(3(2(0(0(1(2(1(0(2(1(1(3(1(0(0(2(3(x1))))))))))))))))))
   0(2(3(1(2(3(2(1(0(1(0(0(3(1(3(1(2(3(x1)))))))))))))))))) -> 0(2(3(3(1(2(1(1(1(0(2(3(1(0(2(0(3(3(x1))))))))))))))))))
   0(3(0(0(2(1(0(0(2(1(2(2(3(2(0(0(2(0(x1)))))))))))))))))) -> 0(2(0(0(0(2(0(3(0(2(2(0(1(1(3(2(2(0(x1))))))))))))))))))
   0(3(2(0(3(0(0(1(2(1(2(0(1(2(1(3(0(0(x1)))))))))))))))))) -> 0(2(2(0(3(3(1(0(0(3(0(2(1(1(0(1(2(0(x1))))))))))))))))))
   0(3(3(0(0(0(1(3(2(2(3(2(1(3(0(0(2(1(x1)))))))))))))))))) -> 0(2(2(0(0(3(0(2(3(1(0(3(1(0(3(2(3(1(x1))))))))))))))))))
   1(0(0(1(0(0(3(3(0(0(2(1(2(1(3(3(1(3(x1)))))))))))))))))) -> 1(0(3(0(0(3(3(0(0(2(1(0(3(1(2(3(1(1(x1))))))))))))))))))
   1(0(3(1(2(0(3(3(2(1(2(0(0(1(0(2(1(3(x1)))))))))))))))))) -> 1(0(3(3(1(0(2(0(3(1(0(3(2(1(2(2(1(0(x1))))))))))))))))))
   1(1(2(0(3(0(1(3(0(2(3(3(3(2(2(3(0(3(x1)))))))))))))))))) -> 3(3(0(3(1(0(3(2(3(2(2(0(3(2(1(1(0(3(x1))))))))))))))))))
   1(1(2(0(3(0(2(1(3(3(0(3(3(3(3(3(1(2(x1)))))))))))))))))) -> 1(0(3(3(0(3(3(1(0(2(3(1(1(3(2(3(2(3(x1))))))))))))))))))
   1(1(2(1(0(0(3(0(3(1(3(0(1(3(1(3(3(3(x1)))))))))))))))))) -> 3(0(1(1(1(1(3(0(3(1(1(0(3(0(2(3(3(3(x1))))))))))))))))))
   1(1(3(2(1(0(0(3(3(1(1(3(2(0(1(2(1(1(x1)))))))))))))))))) -> 1(1(2(3(3(0(0(3(3(1(1(1(1(1(0(2(2(1(x1))))))))))))))))))
   1(2(2(3(3(2(0(1(3(1(2(0(3(0(3(2(0(2(x1)))))))))))))))))) -> 2(3(1(0(3(1(0(2(3(3(2(2(0(0(3(1(2(2(x1))))))))))))))))))
   1(2(3(1(3(0(1(2(2(0(2(0(1(1(1(1(0(1(x1)))))))))))))))))) -> 1(2(2(0(1(1(1(1(0(0(3(2(1(0(2(3(1(1(x1))))))))))))))))))
   1(3(0(1(3(1(2(1(2(1(2(2(2(1(3(0(1(3(x1)))))))))))))))))) -> 2(3(2(1(1(2(2(1(3(1(0(2(1(1(1(0(3(3(x1))))))))))))))))))
   1(3(0(3(0(1(3(1(2(1(0(2(1(1(3(0(1(1(x1)))))))))))))))))) -> 1(0(1(0(3(1(3(1(0(1(1(3(2(3(0(2(1(1(x1))))))))))))))))))
   1(3(2(1(0(1(2(1(3(1(1(3(3(3(0(2(1(3(x1)))))))))))))))))) -> 1(0(3(1(1(2(2(3(2(3(1(1(3(1(1(0(3(3(x1))))))))))))))))))
   1(3(3(0(3(2(1(1(1(0(1(3(2(3(1(1(2(1(x1)))))))))))))))))) -> 1(3(1(3(0(1(1(3(2(3(2(2(0(3(1(1(1(1(x1))))))))))))))))))
   1(3(3(1(3(2(2(2(2(2(0(1(2(2(0(3(0(3(x1)))))))))))))))))) -> 1(3(2(0(1(0(2(2(2(2(2(1(0(3(3(3(2(3(x1))))))))))))))))))
   1(3(3(3(1(2(0(1(2(0(0(2(1(3(3(3(0(2(x1)))))))))))))))))) -> 1(3(1(1(0(3(3(0(2(0(1(3(0(3(2(3(2(2(x1))))))))))))))))))
   2(0(1(2(0(0(0(2(2(1(3(2(1(0(1(0(2(0(x1)))))))))))))))))) -> 2(0(2(0(1(0(1(1(0(1(0(3(2(0(2(2(2(0(x1))))))))))))))))))
   2(0(3(2(0(3(1(0(0(0(1(3(0(0(3(0(2(2(x1)))))))))))))))))) -> 2(3(0(0(0(0(0(0(0(2(3(1(3(1(0(3(2(2(x1))))))))))))))))))
   2(1(0(0(3(0(0(0(1(3(0(1(3(0(1(3(2(1(x1)))))))))))))))))) -> 3(0(0(0(1(1(2(3(3(0(0(3(0(1(0(2(1(1(x1))))))))))))))))))
   2(1(0(1(1(2(2(3(3(2(1(2(1(2(2(3(0(2(x1)))))))))))))))))) -> 2(3(2(1(1(0(1(2(2(2(0(3(2(2(1(1(3(2(x1))))))))))))))))))
   2(1(0(2(0(1(0(3(2(1(3(1(1(3(2(2(1(0(x1)))))))))))))))))) -> 2(3(1(2(3(2(2(1(2(0(0(1(0(3(1(1(1(0(x1))))))))))))))))))
   2(1(1(1(0(1(0(0(3(3(0(3(2(0(1(2(1(3(x1)))))))))))))))))) -> 2(2(3(0(3(1(0(0(3(0(1(1(1(1(2(1(0(3(x1))))))))))))))))))
   2(1(1(3(0(2(1(3(2(2(3(3(3(1(3(2(3(3(x1)))))))))))))))))) -> 2(2(3(3(1(2(1(0(1(1(3(3(2(3(3(2(3(3(x1))))))))))))))))))
   2(1(2(2(1(0(1(3(0(1(1(0(0(3(3(2(2(3(x1)))))))))))))))))) -> 2(0(3(1(0(1(3(1(3(2(2(2(2(0(1(1(0(3(x1))))))))))))))))))
   2(1(3(0(3(0(1(0(1(3(3(0(1(3(3(0(2(3(x1)))))))))))))))))) -> 2(3(3(0(3(3(0(0(3(2(3(1(1(1(0(3(1(0(x1))))))))))))))))))
   2(1(3(1(1(2(1(2(3(0(3(2(0(1(0(1(2(1(x1)))))))))))))))))) -> 3(0(0(3(1(1(1(1(1(2(3(2(0(2(2(1(2(1(x1))))))))))))))))))
   2(2(1(0(1(3(2(2(0(2(2(2(2(0(2(2(1(2(x1)))))))))))))))))) -> 2(3(2(2(2(1(2(2(2(0(1(0(2(2(0(2(1(2(x1))))))))))))))))))
   2(2(1(2(0(1(3(0(1(1(1(1(2(2(0(0(2(2(x1)))))))))))))))))) -> 2(0(0(1(1(0(2(2(3(1(2(2(1(2(1(1(0(2(x1))))))))))))))))))
   2(2(1(2(2(2(2(2(1(3(2(1(3(0(3(3(1(2(x1)))))))))))))))))) -> 2(2(0(2(2(2(3(1(2(1(3(2(3(1(1(2(3(2(x1))))))))))))))))))
   2(2(1(2(2(2(3(2(0(3(3(0(1(2(0(2(3(3(x1)))))))))))))))))) -> 2(3(1(3(1(0(2(2(3(0(2(2(2(3(2(2(0(3(x1))))))))))))))))))
   2(2(1(2(3(2(1(1(1(0(0(3(3(1(2(2(1(3(x1)))))))))))))))))) -> 2(2(1(1(1(2(1(2(3(2(3(1(3(1(0(2(0(3(x1))))))))))))))))))
   2(2(1(3(0(1(3(0(1(2(0(2(2(1(3(2(2(2(x1)))))))))))))))))) -> 1(1(2(2(3(3(3(2(2(0(2(0(1(0(2(2(1(2(x1))))))))))))))))))
   2(2(3(0(2(3(1(2(0(2(2(1(3(0(0(1(3(2(x1)))))))))))))))))) -> 3(0(2(1(3(2(2(1(1(2(0(3(0(0(2(2(3(2(x1))))))))))))))))))
   2(2(3(1(0(3(0(2(1(3(2(2(2(3(3(3(1(2(x1)))))))))))))))))) -> 1(1(0(3(2(2(3(2(2(1(0(2(3(3(2(3(3(2(x1))))))))))))))))))
   2(2(3(1(1(2(0(2(0(3(0(0(2(1(0(1(3(2(x1)))))))))))))))))) -> 2(2(3(2(2(0(3(0(3(1(0(1(1(1(2(2(0(0(x1))))))))))))))))))
   2(2(3(1(3(1(3(0(2(1(3(1(2(3(1(3(3(1(x1)))))))))))))))))) -> 2(3(3(1(3(1(3(3(2(3(1(1(2(3(2(1(0(1(x1))))))))))))))))))
   2(3(2(1(2(0(3(0(1(3(3(3(0(2(3(0(0(0(x1)))))))))))))))))) -> 3(0(0(3(0(2(3(1(1(3(3(2(2(0(3(0(2(0(x1))))))))))))))))))
   2(3(2(1(3(1(2(0(0(1(3(0(1(2(0(3(1(1(x1)))))))))))))))))) -> 1(2(3(1(1(0(1(3(0(0(0(3(2(3(2(2(1(1(x1))))))))))))))))))
   2(3(3(1(3(1(0(0(1(1(3(3(3(1(2(2(1(3(x1)))))))))))))))))) -> 2(2(1(3(3(1(1(0(3(1(1(1(3(3(2(3(0(3(x1))))))))))))))))))
   3(0(0(3(1(3(3(2(2(1(1(0(2(1(2(0(2(0(x1)))))))))))))))))) -> 3(3(1(0(2(0(2(0(2(0(2(3(1(1(3(1(0(2(x1))))))))))))))))))
   3(0(1(0(0(1(3(0(0(1(3(0(1(2(0(3(3(3(x1)))))))))))))))))) -> 1(1(3(0(0(3(1(0(1(0(2(3(0(3(3(0(0(3(x1))))))))))))))))))
   3(0(1(0(2(0(3(1(3(3(1(3(3(0(2(2(3(0(x1)))))))))))))))))) -> 3(0(2(1(0(3(0(3(3(0(2(3(3(1(1(2(3(0(x1))))))))))))))))))
   3(0(1(3(2(2(3(2(0(1(0(0(3(0(1(0(2(0(x1)))))))))))))))))) -> 2(3(1(2(0(2(0(3(1(0(0(0(3(2(3(1(0(0(x1))))))))))))))))))
   3(0(1(3(2(3(3(2(0(1(1(2(0(1(3(1(3(2(x1)))))))))))))))))) -> 3(2(3(3(0(3(1(1(0(2(2(3(1(2(1(1(0(3(x1))))))))))))))))))
   3(0(2(1(3(3(0(1(1(3(0(1(2(3(1(2(1(3(x1)))))))))))))))))) -> 0(1(1(2(3(2(3(1(0(2(1(1(1(0(3(3(3(3(x1))))))))))))))))))
   3(0(3(0(1(3(0(2(0(1(1(0(1(0(2(3(0(3(x1)))))))))))))))))) -> 3(0(0(2(1(1(0(1(0(3(2(1(0(0(3(3(0(3(x1))))))))))))))))))
   3(0(3(2(0(3(1(1(2(1(3(3(2(1(0(3(2(1(x1)))))))))))))))))) -> 2(3(3(0(1(1(1(0(2(1(2(3(3(0(3(3(2(1(x1))))))))))))))))))
   3(0(3(2(2(3(2(0(3(0(2(2(1(2(0(2(2(0(x1)))))))))))))))))) -> 3(2(1(0(0(3(0(2(3(2(2(0(2(2(3(2(2(0(x1))))))))))))))))))
   3(1(1(3(1(3(3(0(3(1(3(0(2(1(2(2(1(3(x1)))))))))))))))))) -> 3(3(3(2(0(2(1(1(2(3(1(1(3(0(3(1(1(3(x1))))))))))))))))))
   3(1(2(0(3(0(1(2(0(3(3(2(3(2(2(1(2(3(x1)))))))))))))))))) -> 3(1(3(2(1(1(3(2(0(0(0(3(2(2(2(3(2(3(x1))))))))))))))))))
   3(1(2(3(0(2(2(1(1(3(1(0(0(1(0(2(3(0(x1)))))))))))))))))) -> 3(1(0(0(0(3(1(1(0(3(1(2(1(2(2(3(2(0(x1))))))))))))))))))
   3(1(3(3(0(2(2(2(0(1(2(0(1(0(1(2(2(0(x1)))))))))))))))))) -> 3(2(3(2(0(3(1(2(1(1(1(2(0(0(0(2(2(0(x1))))))))))))))))))
   3(2(0(1(0(0(0(3(1(3(1(3(3(2(0(1(1(1(x1)))))))))))))))))) -> 3(2(0(3(0(1(1(1(0(1(1(0(3(0(3(2(3(1(x1))))))))))))))))))
   3(2(0(1(2(1(2(3(2(3(2(0(2(1(2(1(2(0(x1)))))))))))))))))) -> 2(1(1(3(2(0(2(3(1(1(2(2(0(2(3(2(2(0(x1))))))))))))))))))
   3(2(0(2(2(0(0(2(3(0(2(3(0(1(2(2(0(2(x1)))))))))))))))))) -> 2(0(3(2(2(2(0(3(2(0(2(1(3(2(0(0(0(2(x1))))))))))))))))))
   3(2(0(2(2(3(0(0(1(3(0(2(0(0(2(1(3(0(x1)))))))))))))))))) -> 2(1(0(0(0(0(3(2(3(0(3(1(3(0(0(2(2(2(x1))))))))))))))))))
   3(2(1(2(3(3(1(2(1(1(2(3(0(2(3(1(2(3(x1)))))))))))))))))) -> 2(0(2(3(1(1(3(3(1(2(2(2(3(3(1(1(2(3(x1))))))))))))))))))
   3(2(1(3(2(2(3(3(3(2(1(2(0(1(0(1(1(2(x1)))))))))))))))))) -> 2(3(1(1(0(2(2(0(3(3(3(1(2(3(1(2(1(2(x1))))))))))))))))))
   3(2(2(3(1(2(2(2(1(3(3(3(0(2(1(3(2(1(x1)))))))))))))))))) -> 3(2(2(1(2(2(2(3(2(3(3(1(1(3(3(0(2(1(x1))))))))))))))))))
   3(2(3(1(1(1(3(2(2(1(2(1(0(0(3(1(3(3(x1)))))))))))))))))) -> 3(2(3(2(0(3(1(1(2(3(2(0(1(3(1(1(1(3(x1))))))))))))))))))
   3(2(3(2(1(3(0(1(2(1(2(2(1(0(1(1(0(0(x1)))))))))))))))))) -> 3(2(2(0(1(1(1(1(1(0(0(0(3(2(2(1(3(2(x1))))))))))))))))))
   3(2(3(3(0(2(3(2(0(2(3(2(2(1(3(3(0(3(x1)))))))))))))))))) -> 3(3(2(2(3(3(2(3(0(0(3(2(2(1(0(3(2(3(x1))))))))))))))))))
   3(3(0(1(0(1(3(3(3(2(2(3(3(0(3(3(0(3(x1)))))))))))))))))) -> 3(3(3(0(2(3(1(0(1(3(2(3(3(3(3(0(0(3(x1))))))))))))))))))
   3(3(0(2(3(3(0(0(2(1(0(3(0(1(0(1(0(2(x1)))))))))))))))))) -> 2(0(3(3(3(0(2(0(3(1(1(1(0(0(0(0(3(2(x1))))))))))))))))))
   3(3(0(3(1(3(3(1(2(0(3(2(2(2(3(2(3(0(x1)))))))))))))))))) -> 3(2(3(1(0(3(2(1(2(3(3(3(0(0(3(3(2(2(x1))))))))))))))))))
   3(3(1(1(3(0(2(1(3(2(0(1(2(3(3(3(2(3(x1)))))))))))))))))) -> 3(1(0(3(1(1(0(3(3(2(2(2(2(3(1(3(3(3(x1))))))))))))))))))
   3(3(2(0(3(1(2(2(3(1(3(2(3(2(2(1(2(0(x1)))))))))))))))))) -> 3(2(1(3(2(3(2(0(3(2(2(3(2(3(1(1(2(0(x1))))))))))))))))))
   3(3(2(0(3(2(1(2(2(1(2(0(1(2(3(3(2(0(x1)))))))))))))))))) -> 2(0(3(3(1(2(1(2(1(0(2(3(3(2(3(2(2(0(x1))))))))))))))))))
   3(3(2(1(1(1(1(3(0(0(3(1(2(0(2(2(3(0(x1)))))))))))))))))) -> 3(3(1(1(0(1(0(2(0(1(1(2(3(3(2(2(3(0(x1))))))))))))))))))
   3(3(3(0(1(3(3(1(2(3(0(2(1(3(2(1(0(0(x1)))))))))))))))))) -> 3(1(1(1(3(0(1(3(0(2(3(2(3(0(3(2(3(0(x1))))))))))))))))))
   3(3(3(1(3(0(3(3(1(3(0(1(0(0(2(1(2(0(x1)))))))))))))))))) -> 3(3(1(1(0(1(3(3(0(3(3(0(2(2(3(1(0(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(0(1(1(3(2(3(3(0(1(1(2(0(1(3(1(x1)))))))))))))))))) -> 0(0(0(1(1(1(0(1(3(3(1(0(3(2(0(2(3(1(x1))))))))))))))))))
0(0(0(2(3(0(0(0(0(0(0(1(1(0(3(0(0(0(x1)))))))))))))))))) -> 0(0(3(1(0(0(0(0(2(0(0(0(3(1(0(0(0(0(x1))))))))))))))))))
0(0(1(1(2(1(3(1(3(1(1(1(2(2(1(0(2(2(x1)))))))))))))))))) -> 2(1(1(1(1(0(3(1(1(1(2(0(3(1(0(2(2(2(x1))))))))))))))))))
0(0(3(3(0(2(3(0(3(0(2(1(0(0(0(3(3(0(x1)))))))))))))))))) -> 0(0(3(1(0(3(0(0(3(3(0(3(3(0(0(2(0(2(x1))))))))))))))))))
0(2(0(1(3(0(0(1(3(0(2(0(1(3(1(1(3(1(x1)))))))))))))))))) -> 0(2(0(1(3(1(1(2(1(0(0(3(3(0(0(1(3(1(x1))))))))))))))))))
0(2(0(2(1(1(2(1(2(0(0(3(2(2(3(0(0(3(x1)))))))))))))))))) -> 0(3(2(2(0(2(2(2(2(0(3(0(1(0(1(1(0(3(x1))))))))))))))))))
0(2(1(2(1(1(2(3(2(1(0(0(1(0(0(3(0(3(x1)))))))))))))))))) -> 0(3(2(0(0(1(2(1(0(2(1(1(3(1(0(0(2(3(x1))))))))))))))))))
0(2(3(1(2(3(2(1(0(1(0(0(3(1(3(1(2(3(x1)))))))))))))))))) -> 0(2(3(3(1(2(1(1(1(0(2(3(1(0(2(0(3(3(x1))))))))))))))))))
0(3(0(0(2(1(0(0(2(1(2(2(3(2(0(0(2(0(x1)))))))))))))))))) -> 0(2(0(0(0(2(0(3(0(2(2(0(1(1(3(2(2(0(x1))))))))))))))))))
0(3(2(0(3(0(0(1(2(1(2(0(1(2(1(3(0(0(x1)))))))))))))))))) -> 0(2(2(0(3(3(1(0(0(3(0(2(1(1(0(1(2(0(x1))))))))))))))))))
0(3(3(0(0(0(1(3(2(2(3(2(1(3(0(0(2(1(x1)))))))))))))))))) -> 0(2(2(0(0(3(0(2(3(1(0(3(1(0(3(2(3(1(x1))))))))))))))))))
1(0(0(1(0(0(3(3(0(0(2(1(2(1(3(3(1(3(x1)))))))))))))))))) -> 1(0(3(0(0(3(3(0(0(2(1(0(3(1(2(3(1(1(x1))))))))))))))))))
1(0(3(1(2(0(3(3(2(1(2(0(0(1(0(2(1(3(x1)))))))))))))))))) -> 1(0(3(3(1(0(2(0(3(1(0(3(2(1(2(2(1(0(x1))))))))))))))))))
1(1(2(0(3(0(1(3(0(2(3(3(3(2(2(3(0(3(x1)))))))))))))))))) -> 3(3(0(3(1(0(3(2(3(2(2(0(3(2(1(1(0(3(x1))))))))))))))))))
1(1(2(0(3(0(2(1(3(3(0(3(3(3(3(3(1(2(x1)))))))))))))))))) -> 1(0(3(3(0(3(3(1(0(2(3(1(1(3(2(3(2(3(x1))))))))))))))))))
1(1(2(1(0(0(3(0(3(1(3(0(1(3(1(3(3(3(x1)))))))))))))))))) -> 3(0(1(1(1(1(3(0(3(1(1(0(3(0(2(3(3(3(x1))))))))))))))))))
1(1(3(2(1(0(0(3(3(1(1(3(2(0(1(2(1(1(x1)))))))))))))))))) -> 1(1(2(3(3(0(0(3(3(1(1(1(1(1(0(2(2(1(x1))))))))))))))))))
1(2(2(3(3(2(0(1(3(1(2(0(3(0(3(2(0(2(x1)))))))))))))))))) -> 2(3(1(0(3(1(0(2(3(3(2(2(0(0(3(1(2(2(x1))))))))))))))))))
1(2(3(1(3(0(1(2(2(0(2(0(1(1(1(1(0(1(x1)))))))))))))))))) -> 1(2(2(0(1(1(1(1(0(0(3(2(1(0(2(3(1(1(x1))))))))))))))))))
1(3(0(1(3(1(2(1(2(1(2(2(2(1(3(0(1(3(x1)))))))))))))))))) -> 2(3(2(1(1(2(2(1(3(1(0(2(1(1(1(0(3(3(x1))))))))))))))))))
1(3(0(3(0(1(3(1(2(1(0(2(1(1(3(0(1(1(x1)))))))))))))))))) -> 1(0(1(0(3(1(3(1(0(1(1(3(2(3(0(2(1(1(x1))))))))))))))))))
1(3(2(1(0(1(2(1(3(1(1(3(3(3(0(2(1(3(x1)))))))))))))))))) -> 1(0(3(1(1(2(2(3(2(3(1(1(3(1(1(0(3(3(x1))))))))))))))))))
1(3(3(0(3(2(1(1(1(0(1(3(2(3(1(1(2(1(x1)))))))))))))))))) -> 1(3(1(3(0(1(1(3(2(3(2(2(0(3(1(1(1(1(x1))))))))))))))))))
1(3(3(1(3(2(2(2(2(2(0(1(2(2(0(3(0(3(x1)))))))))))))))))) -> 1(3(2(0(1(0(2(2(2(2(2(1(0(3(3(3(2(3(x1))))))))))))))))))
1(3(3(3(1(2(0(1(2(0(0(2(1(3(3(3(0(2(x1)))))))))))))))))) -> 1(3(1(1(0(3(3(0(2(0(1(3(0(3(2(3(2(2(x1))))))))))))))))))
2(0(1(2(0(0(0(2(2(1(3(2(1(0(1(0(2(0(x1)))))))))))))))))) -> 2(0(2(0(1(0(1(1(0(1(0(3(2(0(2(2(2(0(x1))))))))))))))))))
2(0(3(2(0(3(1(0(0(0(1(3(0(0(3(0(2(2(x1)))))))))))))))))) -> 2(3(0(0(0(0(0(0(0(2(3(1(3(1(0(3(2(2(x1))))))))))))))))))
2(1(0(0(3(0(0(0(1(3(0(1(3(0(1(3(2(1(x1)))))))))))))))))) -> 3(0(0(0(1(1(2(3(3(0(0(3(0(1(0(2(1(1(x1))))))))))))))))))
2(1(0(1(1(2(2(3(3(2(1(2(1(2(2(3(0(2(x1)))))))))))))))))) -> 2(3(2(1(1(0(1(2(2(2(0(3(2(2(1(1(3(2(x1))))))))))))))))))
2(1(0(2(0(1(0(3(2(1(3(1(1(3(2(2(1(0(x1)))))))))))))))))) -> 2(3(1(2(3(2(2(1(2(0(0(1(0(3(1(1(1(0(x1))))))))))))))))))
2(1(1(1(0(1(0(0(3(3(0(3(2(0(1(2(1(3(x1)))))))))))))))))) -> 2(2(3(0(3(1(0(0(3(0(1(1(1(1(2(1(0(3(x1))))))))))))))))))
2(1(1(3(0(2(1(3(2(2(3(3(3(1(3(2(3(3(x1)))))))))))))))))) -> 2(2(3(3(1(2(1(0(1(1(3(3(2(3(3(2(3(3(x1))))))))))))))))))
2(1(2(2(1(0(1(3(0(1(1(0(0(3(3(2(2(3(x1)))))))))))))))))) -> 2(0(3(1(0(1(3(1(3(2(2(2(2(0(1(1(0(3(x1))))))))))))))))))
2(1(3(0(3(0(1(0(1(3(3(0(1(3(3(0(2(3(x1)))))))))))))))))) -> 2(3(3(0(3(3(0(0(3(2(3(1(1(1(0(3(1(0(x1))))))))))))))))))
2(1(3(1(1(2(1(2(3(0(3(2(0(1(0(1(2(1(x1)))))))))))))))))) -> 3(0(0(3(1(1(1(1(1(2(3(2(0(2(2(1(2(1(x1))))))))))))))))))
2(2(1(0(1(3(2(2(0(2(2(2(2(0(2(2(1(2(x1)))))))))))))))))) -> 2(3(2(2(2(1(2(2(2(0(1(0(2(2(0(2(1(2(x1))))))))))))))))))
2(2(1(2(0(1(3(0(1(1(1(1(2(2(0(0(2(2(x1)))))))))))))))))) -> 2(0(0(1(1(0(2(2(3(1(2(2(1(2(1(1(0(2(x1))))))))))))))))))
2(2(1(2(2(2(2(2(1(3(2(1(3(0(3(3(1(2(x1)))))))))))))))))) -> 2(2(0(2(2(2(3(1(2(1(3(2(3(1(1(2(3(2(x1))))))))))))))))))
2(2(1(2(2(2(3(2(0(3(3(0(1(2(0(2(3(3(x1)))))))))))))))))) -> 2(3(1(3(1(0(2(2(3(0(2(2(2(3(2(2(0(3(x1))))))))))))))))))
2(2(1(2(3(2(1(1(1(0(0(3(3(1(2(2(1(3(x1)))))))))))))))))) -> 2(2(1(1(1(2(1(2(3(2(3(1(3(1(0(2(0(3(x1))))))))))))))))))
2(2(1(3(0(1(3(0(1(2(0(2(2(1(3(2(2(2(x1)))))))))))))))))) -> 1(1(2(2(3(3(3(2(2(0(2(0(1(0(2(2(1(2(x1))))))))))))))))))
2(2(3(0(2(3(1(2(0(2(2(1(3(0(0(1(3(2(x1)))))))))))))))))) -> 3(0(2(1(3(2(2(1(1(2(0(3(0(0(2(2(3(2(x1))))))))))))))))))
2(2(3(1(0(3(0(2(1(3(2(2(2(3(3(3(1(2(x1)))))))))))))))))) -> 1(1(0(3(2(2(3(2(2(1(0(2(3(3(2(3(3(2(x1))))))))))))))))))
2(2(3(1(1(2(0(2(0(3(0(0(2(1(0(1(3(2(x1)))))))))))))))))) -> 2(2(3(2(2(0(3(0(3(1(0(1(1(1(2(2(0(0(x1))))))))))))))))))
2(2(3(1(3(1(3(0(2(1(3(1(2(3(1(3(3(1(x1)))))))))))))))))) -> 2(3(3(1(3(1(3(3(2(3(1(1(2(3(2(1(0(1(x1))))))))))))))))))
2(3(2(1(2(0(3(0(1(3(3(3(0(2(3(0(0(0(x1)))))))))))))))))) -> 3(0(0(3(0(2(3(1(1(3(3(2(2(0(3(0(2(0(x1))))))))))))))))))
2(3(2(1(3(1(2(0(0(1(3(0(1(2(0(3(1(1(x1)))))))))))))))))) -> 1(2(3(1(1(0(1(3(0(0(0(3(2(3(2(2(1(1(x1))))))))))))))))))
2(3(3(1(3(1(0(0(1(1(3(3(3(1(2(2(1(3(x1)))))))))))))))))) -> 2(2(1(3(3(1(1(0(3(1(1(1(3(3(2(3(0(3(x1))))))))))))))))))
3(0(0(3(1(3(3(2(2(1(1(0(2(1(2(0(2(0(x1)))))))))))))))))) -> 3(3(1(0(2(0(2(0(2(0(2(3(1(1(3(1(0(2(x1))))))))))))))))))
3(0(1(0(0(1(3(0(0(1(3(0(1(2(0(3(3(3(x1)))))))))))))))))) -> 1(1(3(0(0(3(1(0(1(0(2(3(0(3(3(0(0(3(x1))))))))))))))))))
3(0(1(0(2(0(3(1(3(3(1(3(3(0(2(2(3(0(x1)))))))))))))))))) -> 3(0(2(1(0(3(0(3(3(0(2(3(3(1(1(2(3(0(x1))))))))))))))))))
3(0(1(3(2(2(3(2(0(1(0(0(3(0(1(0(2(0(x1)))))))))))))))))) -> 2(3(1(2(0(2(0(3(1(0(0(0(3(2(3(1(0(0(x1))))))))))))))))))
3(0(1(3(2(3(3(2(0(1(1(2(0(1(3(1(3(2(x1)))))))))))))))))) -> 3(2(3(3(0(3(1(1(0(2(2(3(1(2(1(1(0(3(x1))))))))))))))))))
3(0(2(1(3(3(0(1(1(3(0(1(2(3(1(2(1(3(x1)))))))))))))))))) -> 0(1(1(2(3(2(3(1(0(2(1(1(1(0(3(3(3(3(x1))))))))))))))))))
3(0(3(0(1(3(0(2(0(1(1(0(1(0(2(3(0(3(x1)))))))))))))))))) -> 3(0(0(2(1(1(0(1(0(3(2(1(0(0(3(3(0(3(x1))))))))))))))))))
3(0(3(2(0(3(1(1(2(1(3(3(2(1(0(3(2(1(x1)))))))))))))))))) -> 2(3(3(0(1(1(1(0(2(1(2(3(3(0(3(3(2(1(x1))))))))))))))))))
3(0(3(2(2(3(2(0(3(0(2(2(1(2(0(2(2(0(x1)))))))))))))))))) -> 3(2(1(0(0(3(0(2(3(2(2(0(2(2(3(2(2(0(x1))))))))))))))))))
3(1(1(3(1(3(3(0(3(1(3(0(2(1(2(2(1(3(x1)))))))))))))))))) -> 3(3(3(2(0(2(1(1(2(3(1(1(3(0(3(1(1(3(x1))))))))))))))))))
3(1(2(0(3(0(1(2(0(3(3(2(3(2(2(1(2(3(x1)))))))))))))))))) -> 3(1(3(2(1(1(3(2(0(0(0(3(2(2(2(3(2(3(x1))))))))))))))))))
3(1(2(3(0(2(2(1(1(3(1(0(0(1(0(2(3(0(x1)))))))))))))))))) -> 3(1(0(0(0(3(1(1(0(3(1(2(1(2(2(3(2(0(x1))))))))))))))))))
3(1(3(3(0(2(2(2(0(1(2(0(1(0(1(2(2(0(x1)))))))))))))))))) -> 3(2(3(2(0(3(1(2(1(1(1(2(0(0(0(2(2(0(x1))))))))))))))))))
3(2(0(1(0(0(0(3(1(3(1(3(3(2(0(1(1(1(x1)))))))))))))))))) -> 3(2(0(3(0(1(1(1(0(1(1(0(3(0(3(2(3(1(x1))))))))))))))))))
3(2(0(1(2(1(2(3(2(3(2(0(2(1(2(1(2(0(x1)))))))))))))))))) -> 2(1(1(3(2(0(2(3(1(1(2(2(0(2(3(2(2(0(x1))))))))))))))))))
3(2(0(2(2(0(0(2(3(0(2(3(0(1(2(2(0(2(x1)))))))))))))))))) -> 2(0(3(2(2(2(0(3(2(0(2(1(3(2(0(0(0(2(x1))))))))))))))))))
3(2(0(2(2(3(0(0(1(3(0(2(0(0(2(1(3(0(x1)))))))))))))))))) -> 2(1(0(0(0(0(3(2(3(0(3(1(3(0(0(2(2(2(x1))))))))))))))))))
3(2(1(2(3(3(1(2(1(1(2(3(0(2(3(1(2(3(x1)))))))))))))))))) -> 2(0(2(3(1(1(3(3(1(2(2(2(3(3(1(1(2(3(x1))))))))))))))))))
3(2(1(3(2(2(3(3(3(2(1(2(0(1(0(1(1(2(x1)))))))))))))))))) -> 2(3(1(1(0(2(2(0(3(3(3(1(2(3(1(2(1(2(x1))))))))))))))))))
3(2(2(3(1(2(2(2(1(3(3(3(0(2(1(3(2(1(x1)))))))))))))))))) -> 3(2(2(1(2(2(2(3(2(3(3(1(1(3(3(0(2(1(x1))))))))))))))))))
3(2(3(1(1(1(3(2(2(1(2(1(0(0(3(1(3(3(x1)))))))))))))))))) -> 3(2(3(2(0(3(1(1(2(3(2(0(1(3(1(1(1(3(x1))))))))))))))))))
3(2(3(2(1(3(0(1(2(1(2(2(1(0(1(1(0(0(x1)))))))))))))))))) -> 3(2(2(0(1(1(1(1(1(0(0(0(3(2(2(1(3(2(x1))))))))))))))))))
3(2(3(3(0(2(3(2(0(2(3(2(2(1(3(3(0(3(x1)))))))))))))))))) -> 3(3(2(2(3(3(2(3(0(0(3(2(2(1(0(3(2(3(x1))))))))))))))))))
3(3(0(1(0(1(3(3(3(2(2(3(3(0(3(3(0(3(x1)))))))))))))))))) -> 3(3(3(0(2(3(1(0(1(3(2(3(3(3(3(0(0(3(x1))))))))))))))))))
3(3(0(2(3(3(0(0(2(1(0(3(0(1(0(1(0(2(x1)))))))))))))))))) -> 2(0(3(3(3(0(2(0(3(1(1(1(0(0(0(0(3(2(x1))))))))))))))))))
3(3(0(3(1(3(3(1(2(0(3(2(2(2(3(2(3(0(x1)))))))))))))))))) -> 3(2(3(1(0(3(2(1(2(3(3(3(0(0(3(3(2(2(x1))))))))))))))))))
3(3(1(1(3(0(2(1(3(2(0(1(2(3(3(3(2(3(x1)))))))))))))))))) -> 3(1(0(3(1(1(0(3(3(2(2(2(2(3(1(3(3(3(x1))))))))))))))))))
3(3(2(0(3(1(2(2(3(1(3(2(3(2(2(1(2(0(x1)))))))))))))))))) -> 3(2(1(3(2(3(2(0(3(2(2(3(2(3(1(1(2(0(x1))))))))))))))))))
3(3(2(0(3(2(1(2(2(1(2(0(1(2(3(3(2(0(x1)))))))))))))))))) -> 2(0(3(3(1(2(1(2(1(0(2(3(3(2(3(2(2(0(x1))))))))))))))))))
3(3(2(1(1(1(1(3(0(0(3(1(2(0(2(2(3(0(x1)))))))))))))))))) -> 3(3(1(1(0(1(0(2(0(1(1(2(3(3(2(2(3(0(x1))))))))))))))))))
3(3(3(0(1(3(3(1(2(3(0(2(1(3(2(1(0(0(x1)))))))))))))))))) -> 3(1(1(1(3(0(1(3(0(2(3(2(3(0(3(2(3(0(x1))))))))))))))))))
3(3(3(1(3(0(3(3(1(3(0(1(0(0(2(1(2(0(x1)))))))))))))))))) -> 3(3(1(1(0(1(3(3(0(3(3(0(2(2(3(1(0(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 :: 1:3:0:2:encArg:encode_0:encode_1:encode_3:encode_2 -> 1:3:0:2:encArg:encode_0:encode_1:encode_3:encode_2
1 :: 1:3:0:2:encArg:encode_0:encode_1:encode_3:encode_2 -> 1:3:0:2:encArg:encode_0:encode_1:encode_3:encode_2
3 :: 1:3:0:2:encArg:encode_0:encode_1:encode_3:encode_2 -> 1:3:0:2:encArg:encode_0:encode_1:encode_3:encode_2
2 :: 1:3:0:2:encArg:encode_0:encode_1:encode_3:encode_2 -> 1:3:0:2:encArg:encode_0:encode_1:encode_3:encode_2
encArg :: cons_0:cons_1:cons_2:cons_3 -> 1:3:0:2: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 -> 1:3:0:2:encArg:encode_0:encode_1:encode_3:encode_2
encode_1 :: cons_0:cons_1:cons_2:cons_3 -> 1:3:0:2:encArg:encode_0:encode_1:encode_3:encode_2
encode_3 :: cons_0:cons_1:cons_2:cons_3 -> 1:3:0:2:encArg:encode_0:encode_1:encode_3:encode_2
encode_2 :: cons_0:cons_1:cons_2:cons_3 -> 1:3:0:2:encArg:encode_0:encode_1:encode_3:encode_2
hole_1:3:0:2:encArg:encode_0:encode_1:encode_3:encode_21_4 :: 1:3:0:2: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, 1, 3, 2, encArg

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

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

(12)
Obligation:
TRS:
Rules:
0(0(0(0(1(1(3(2(3(3(0(1(1(2(0(1(3(1(x1)))))))))))))))))) -> 0(0(0(1(1(1(0(1(3(3(1(0(3(2(0(2(3(1(x1))))))))))))))))))
0(0(0(2(3(0(0(0(0(0(0(1(1(0(3(0(0(0(x1)))))))))))))))))) -> 0(0(3(1(0(0(0(0(2(0(0(0(3(1(0(0(0(0(x1))))))))))))))))))
0(0(1(1(2(1(3(1(3(1(1(1(2(2(1(0(2(2(x1)))))))))))))))))) -> 2(1(1(1(1(0(3(1(1(1(2(0(3(1(0(2(2(2(x1))))))))))))))))))
0(0(3(3(0(2(3(0(3(0(2(1(0(0(0(3(3(0(x1)))))))))))))))))) -> 0(0(3(1(0(3(0(0(3(3(0(3(3(0(0(2(0(2(x1))))))))))))))))))
0(2(0(1(3(0(0(1(3(0(2(0(1(3(1(1(3(1(x1)))))))))))))))))) -> 0(2(0(1(3(1(1(2(1(0(0(3(3(0(0(1(3(1(x1))))))))))))))))))
0(2(0(2(1(1(2(1(2(0(0(3(2(2(3(0(0(3(x1)))))))))))))))))) -> 0(3(2(2(0(2(2(2(2(0(3(0(1(0(1(1(0(3(x1))))))))))))))))))
0(2(1(2(1(1(2(3(2(1(0(0(1(0(0(3(0(3(x1)))))))))))))))))) -> 0(3(2(0(0(1(2(1(0(2(1(1(3(1(0(0(2(3(x1))))))))))))))))))
0(2(3(1(2(3(2(1(0(1(0(0(3(1(3(1(2(3(x1)))))))))))))))))) -> 0(2(3(3(1(2(1(1(1(0(2(3(1(0(2(0(3(3(x1))))))))))))))))))
0(3(0(0(2(1(0(0(2(1(2(2(3(2(0(0(2(0(x1)))))))))))))))))) -> 0(2(0(0(0(2(0(3(0(2(2(0(1(1(3(2(2(0(x1))))))))))))))))))
0(3(2(0(3(0(0(1(2(1(2(0(1(2(1(3(0(0(x1)))))))))))))))))) -> 0(2(2(0(3(3(1(0(0(3(0(2(1(1(0(1(2(0(x1))))))))))))))))))
0(3(3(0(0(0(1(3(2(2(3(2(1(3(0(0(2(1(x1)))))))))))))))))) -> 0(2(2(0(0(3(0(2(3(1(0(3(1(0(3(2(3(1(x1))))))))))))))))))
1(0(0(1(0(0(3(3(0(0(2(1(2(1(3(3(1(3(x1)))))))))))))))))) -> 1(0(3(0(0(3(3(0(0(2(1(0(3(1(2(3(1(1(x1))))))))))))))))))
1(0(3(1(2(0(3(3(2(1(2(0(0(1(0(2(1(3(x1)))))))))))))))))) -> 1(0(3(3(1(0(2(0(3(1(0(3(2(1(2(2(1(0(x1))))))))))))))))))
1(1(2(0(3(0(1(3(0(2(3(3(3(2(2(3(0(3(x1)))))))))))))))))) -> 3(3(0(3(1(0(3(2(3(2(2(0(3(2(1(1(0(3(x1))))))))))))))))))
1(1(2(0(3(0(2(1(3(3(0(3(3(3(3(3(1(2(x1)))))))))))))))))) -> 1(0(3(3(0(3(3(1(0(2(3(1(1(3(2(3(2(3(x1))))))))))))))))))
1(1(2(1(0(0(3(0(3(1(3(0(1(3(1(3(3(3(x1)))))))))))))))))) -> 3(0(1(1(1(1(3(0(3(1(1(0(3(0(2(3(3(3(x1))))))))))))))))))
1(1(3(2(1(0(0(3(3(1(1(3(2(0(1(2(1(1(x1)))))))))))))))))) -> 1(1(2(3(3(0(0(3(3(1(1(1(1(1(0(2(2(1(x1))))))))))))))))))
1(2(2(3(3(2(0(1(3(1(2(0(3(0(3(2(0(2(x1)))))))))))))))))) -> 2(3(1(0(3(1(0(2(3(3(2(2(0(0(3(1(2(2(x1))))))))))))))))))
1(2(3(1(3(0(1(2(2(0(2(0(1(1(1(1(0(1(x1)))))))))))))))))) -> 1(2(2(0(1(1(1(1(0(0(3(2(1(0(2(3(1(1(x1))))))))))))))))))
1(3(0(1(3(1(2(1(2(1(2(2(2(1(3(0(1(3(x1)))))))))))))))))) -> 2(3(2(1(1(2(2(1(3(1(0(2(1(1(1(0(3(3(x1))))))))))))))))))
1(3(0(3(0(1(3(1(2(1(0(2(1(1(3(0(1(1(x1)))))))))))))))))) -> 1(0(1(0(3(1(3(1(0(1(1(3(2(3(0(2(1(1(x1))))))))))))))))))
1(3(2(1(0(1(2(1(3(1(1(3(3(3(0(2(1(3(x1)))))))))))))))))) -> 1(0(3(1(1(2(2(3(2(3(1(1(3(1(1(0(3(3(x1))))))))))))))))))
1(3(3(0(3(2(1(1(1(0(1(3(2(3(1(1(2(1(x1)))))))))))))))))) -> 1(3(1(3(0(1(1(3(2(3(2(2(0(3(1(1(1(1(x1))))))))))))))))))
1(3(3(1(3(2(2(2(2(2(0(1(2(2(0(3(0(3(x1)))))))))))))))))) -> 1(3(2(0(1(0(2(2(2(2(2(1(0(3(3(3(2(3(x1))))))))))))))))))
1(3(3(3(1(2(0(1(2(0(0(2(1(3(3(3(0(2(x1)))))))))))))))))) -> 1(3(1(1(0(3(3(0(2(0(1(3(0(3(2(3(2(2(x1))))))))))))))))))
2(0(1(2(0(0(0(2(2(1(3(2(1(0(1(0(2(0(x1)))))))))))))))))) -> 2(0(2(0(1(0(1(1(0(1(0(3(2(0(2(2(2(0(x1))))))))))))))))))
2(0(3(2(0(3(1(0(0(0(1(3(0(0(3(0(2(2(x1)))))))))))))))))) -> 2(3(0(0(0(0(0(0(0(2(3(1(3(1(0(3(2(2(x1))))))))))))))))))
2(1(0(0(3(0(0(0(1(3(0(1(3(0(1(3(2(1(x1)))))))))))))))))) -> 3(0(0(0(1(1(2(3(3(0(0(3(0(1(0(2(1(1(x1))))))))))))))))))
2(1(0(1(1(2(2(3(3(2(1(2(1(2(2(3(0(2(x1)))))))))))))))))) -> 2(3(2(1(1(0(1(2(2(2(0(3(2(2(1(1(3(2(x1))))))))))))))))))
2(1(0(2(0(1(0(3(2(1(3(1(1(3(2(2(1(0(x1)))))))))))))))))) -> 2(3(1(2(3(2(2(1(2(0(0(1(0(3(1(1(1(0(x1))))))))))))))))))
2(1(1(1(0(1(0(0(3(3(0(3(2(0(1(2(1(3(x1)))))))))))))))))) -> 2(2(3(0(3(1(0(0(3(0(1(1(1(1(2(1(0(3(x1))))))))))))))))))
2(1(1(3(0(2(1(3(2(2(3(3(3(1(3(2(3(3(x1)))))))))))))))))) -> 2(2(3(3(1(2(1(0(1(1(3(3(2(3(3(2(3(3(x1))))))))))))))))))
2(1(2(2(1(0(1(3(0(1(1(0(0(3(3(2(2(3(x1)))))))))))))))))) -> 2(0(3(1(0(1(3(1(3(2(2(2(2(0(1(1(0(3(x1))))))))))))))))))
2(1(3(0(3(0(1(0(1(3(3(0(1(3(3(0(2(3(x1)))))))))))))))))) -> 2(3(3(0(3(3(0(0(3(2(3(1(1(1(0(3(1(0(x1))))))))))))))))))
2(1(3(1(1(2(1(2(3(0(3(2(0(1(0(1(2(1(x1)))))))))))))))))) -> 3(0(0(3(1(1(1(1(1(2(3(2(0(2(2(1(2(1(x1))))))))))))))))))
2(2(1(0(1(3(2(2(0(2(2(2(2(0(2(2(1(2(x1)))))))))))))))))) -> 2(3(2(2(2(1(2(2(2(0(1(0(2(2(0(2(1(2(x1))))))))))))))))))
2(2(1(2(0(1(3(0(1(1(1(1(2(2(0(0(2(2(x1)))))))))))))))))) -> 2(0(0(1(1(0(2(2(3(1(2(2(1(2(1(1(0(2(x1))))))))))))))))))
2(2(1(2(2(2(2(2(1(3(2(1(3(0(3(3(1(2(x1)))))))))))))))))) -> 2(2(0(2(2(2(3(1(2(1(3(2(3(1(1(2(3(2(x1))))))))))))))))))
2(2(1(2(2(2(3(2(0(3(3(0(1(2(0(2(3(3(x1)))))))))))))))))) -> 2(3(1(3(1(0(2(2(3(0(2(2(2(3(2(2(0(3(x1))))))))))))))))))
2(2(1(2(3(2(1(1(1(0(0(3(3(1(2(2(1(3(x1)))))))))))))))))) -> 2(2(1(1(1(2(1(2(3(2(3(1(3(1(0(2(0(3(x1))))))))))))))))))
2(2(1(3(0(1(3(0(1(2(0(2(2(1(3(2(2(2(x1)))))))))))))))))) -> 1(1(2(2(3(3(3(2(2(0(2(0(1(0(2(2(1(2(x1))))))))))))))))))
2(2(3(0(2(3(1(2(0(2(2(1(3(0(0(1(3(2(x1)))))))))))))))))) -> 3(0(2(1(3(2(2(1(1(2(0(3(0(0(2(2(3(2(x1))))))))))))))))))
2(2(3(1(0(3(0(2(1(3(2(2(2(3(3(3(1(2(x1)))))))))))))))))) -> 1(1(0(3(2(2(3(2(2(1(0(2(3(3(2(3(3(2(x1))))))))))))))))))
2(2(3(1(1(2(0(2(0(3(0(0(2(1(0(1(3(2(x1)))))))))))))))))) -> 2(2(3(2(2(0(3(0(3(1(0(1(1(1(2(2(0(0(x1))))))))))))))))))
2(2(3(1(3(1(3(0(2(1(3(1(2(3(1(3(3(1(x1)))))))))))))))))) -> 2(3(3(1(3(1(3(3(2(3(1(1(2(3(2(1(0(1(x1))))))))))))))))))
2(3(2(1(2(0(3(0(1(3(3(3(0(2(3(0(0(0(x1)))))))))))))))))) -> 3(0(0(3(0(2(3(1(1(3(3(2(2(0(3(0(2(0(x1))))))))))))))))))
2(3(2(1(3(1(2(0(0(1(3(0(1(2(0(3(1(1(x1)))))))))))))))))) -> 1(2(3(1(1(0(1(3(0(0(0(3(2(3(2(2(1(1(x1))))))))))))))))))
2(3(3(1(3(1(0(0(1(1(3(3(3(1(2(2(1(3(x1)))))))))))))))))) -> 2(2(1(3(3(1(1(0(3(1(1(1(3(3(2(3(0(3(x1))))))))))))))))))
3(0(0(3(1(3(3(2(2(1(1(0(2(1(2(0(2(0(x1)))))))))))))))))) -> 3(3(1(0(2(0(2(0(2(0(2(3(1(1(3(1(0(2(x1))))))))))))))))))
3(0(1(0(0(1(3(0(0(1(3(0(1(2(0(3(3(3(x1)))))))))))))))))) -> 1(1(3(0(0(3(1(0(1(0(2(3(0(3(3(0(0(3(x1))))))))))))))))))
3(0(1(0(2(0(3(1(3(3(1(3(3(0(2(2(3(0(x1)))))))))))))))))) -> 3(0(2(1(0(3(0(3(3(0(2(3(3(1(1(2(3(0(x1))))))))))))))))))
3(0(1(3(2(2(3(2(0(1(0(0(3(0(1(0(2(0(x1)))))))))))))))))) -> 2(3(1(2(0(2(0(3(1(0(0(0(3(2(3(1(0(0(x1))))))))))))))))))
3(0(1(3(2(3(3(2(0(1(1(2(0(1(3(1(3(2(x1)))))))))))))))))) -> 3(2(3(3(0(3(1(1(0(2(2(3(1(2(1(1(0(3(x1))))))))))))))))))
3(0(2(1(3(3(0(1(1(3(0(1(2(3(1(2(1(3(x1)))))))))))))))))) -> 0(1(1(2(3(2(3(1(0(2(1(1(1(0(3(3(3(3(x1))))))))))))))))))
3(0(3(0(1(3(0(2(0(1(1(0(1(0(2(3(0(3(x1)))))))))))))))))) -> 3(0(0(2(1(1(0(1(0(3(2(1(0(0(3(3(0(3(x1))))))))))))))))))
3(0(3(2(0(3(1(1(2(1(3(3(2(1(0(3(2(1(x1)))))))))))))))))) -> 2(3(3(0(1(1(1(0(2(1(2(3(3(0(3(3(2(1(x1))))))))))))))))))
3(0(3(2(2(3(2(0(3(0(2(2(1(2(0(2(2(0(x1)))))))))))))))))) -> 3(2(1(0(0(3(0(2(3(2(2(0(2(2(3(2(2(0(x1))))))))))))))))))
3(1(1(3(1(3(3(0(3(1(3(0(2(1(2(2(1(3(x1)))))))))))))))))) -> 3(3(3(2(0(2(1(1(2(3(1(1(3(0(3(1(1(3(x1))))))))))))))))))
3(1(2(0(3(0(1(2(0(3(3(2(3(2(2(1(2(3(x1)))))))))))))))))) -> 3(1(3(2(1(1(3(2(0(0(0(3(2(2(2(3(2(3(x1))))))))))))))))))
3(1(2(3(0(2(2(1(1(3(1(0(0(1(0(2(3(0(x1)))))))))))))))))) -> 3(1(0(0(0(3(1(1(0(3(1(2(1(2(2(3(2(0(x1))))))))))))))))))
3(1(3(3(0(2(2(2(0(1(2(0(1(0(1(2(2(0(x1)))))))))))))))))) -> 3(2(3(2(0(3(1(2(1(1(1(2(0(0(0(2(2(0(x1))))))))))))))))))
3(2(0(1(0(0(0(3(1(3(1(3(3(2(0(1(1(1(x1)))))))))))))))))) -> 3(2(0(3(0(1(1(1(0(1(1(0(3(0(3(2(3(1(x1))))))))))))))))))
3(2(0(1(2(1(2(3(2(3(2(0(2(1(2(1(2(0(x1)))))))))))))))))) -> 2(1(1(3(2(0(2(3(1(1(2(2(0(2(3(2(2(0(x1))))))))))))))))))
3(2(0(2(2(0(0(2(3(0(2(3(0(1(2(2(0(2(x1)))))))))))))))))) -> 2(0(3(2(2(2(0(3(2(0(2(1(3(2(0(0(0(2(x1))))))))))))))))))
3(2(0(2(2(3(0(0(1(3(0(2(0(0(2(1(3(0(x1)))))))))))))))))) -> 2(1(0(0(0(0(3(2(3(0(3(1(3(0(0(2(2(2(x1))))))))))))))))))
3(2(1(2(3(3(1(2(1(1(2(3(0(2(3(1(2(3(x1)))))))))))))))))) -> 2(0(2(3(1(1(3(3(1(2(2(2(3(3(1(1(2(3(x1))))))))))))))))))
3(2(1(3(2(2(3(3(3(2(1(2(0(1(0(1(1(2(x1)))))))))))))))))) -> 2(3(1(1(0(2(2(0(3(3(3(1(2(3(1(2(1(2(x1))))))))))))))))))
3(2(2(3(1(2(2(2(1(3(3(3(0(2(1(3(2(1(x1)))))))))))))))))) -> 3(2(2(1(2(2(2(3(2(3(3(1(1(3(3(0(2(1(x1))))))))))))))))))
3(2(3(1(1(1(3(2(2(1(2(1(0(0(3(1(3(3(x1)))))))))))))))))) -> 3(2(3(2(0(3(1(1(2(3(2(0(1(3(1(1(1(3(x1))))))))))))))))))
3(2(3(2(1(3(0(1(2(1(2(2(1(0(1(1(0(0(x1)))))))))))))))))) -> 3(2(2(0(1(1(1(1(1(0(0(0(3(2(2(1(3(2(x1))))))))))))))))))
3(2(3(3(0(2(3(2(0(2(3(2(2(1(3(3(0(3(x1)))))))))))))))))) -> 3(3(2(2(3(3(2(3(0(0(3(2(2(1(0(3(2(3(x1))))))))))))))))))
3(3(0(1(0(1(3(3(3(2(2(3(3(0(3(3(0(3(x1)))))))))))))))))) -> 3(3(3(0(2(3(1(0(1(3(2(3(3(3(3(0(0(3(x1))))))))))))))))))
3(3(0(2(3(3(0(0(2(1(0(3(0(1(0(1(0(2(x1)))))))))))))))))) -> 2(0(3(3(3(0(2(0(3(1(1(1(0(0(0(0(3(2(x1))))))))))))))))))
3(3(0(3(1(3(3(1(2(0(3(2(2(2(3(2(3(0(x1)))))))))))))))))) -> 3(2(3(1(0(3(2(1(2(3(3(3(0(0(3(3(2(2(x1))))))))))))))))))
3(3(1(1(3(0(2(1(3(2(0(1(2(3(3(3(2(3(x1)))))))))))))))))) -> 3(1(0(3(1(1(0(3(3(2(2(2(2(3(1(3(3(3(x1))))))))))))))))))
3(3(2(0(3(1(2(2(3(1(3(2(3(2(2(1(2(0(x1)))))))))))))))))) -> 3(2(1(3(2(3(2(0(3(2(2(3(2(3(1(1(2(0(x1))))))))))))))))))
3(3(2(0(3(2(1(2(2(1(2(0(1(2(3(3(2(0(x1)))))))))))))))))) -> 2(0(3(3(1(2(1(2(1(0(2(3(3(2(3(2(2(0(x1))))))))))))))))))
3(3(2(1(1(1(1(3(0(0(3(1(2(0(2(2(3(0(x1)))))))))))))))))) -> 3(3(1(1(0(1(0(2(0(1(1(2(3(3(2(2(3(0(x1))))))))))))))))))
3(3(3(0(1(3(3(1(2(3(0(2(1(3(2(1(0(0(x1)))))))))))))))))) -> 3(1(1(1(3(0(1(3(0(2(3(2(3(0(3(2(3(0(x1))))))))))))))))))
3(3(3(1(3(0(3(3(1(3(0(1(0(0(2(1(2(0(x1)))))))))))))))))) -> 3(3(1(1(0(1(3(3(0(3(3(0(2(2(3(1(0(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 :: 1:3:0:2:encArg:encode_0:encode_1:encode_3:encode_2 -> 1:3:0:2:encArg:encode_0:encode_1:encode_3:encode_2
1 :: 1:3:0:2:encArg:encode_0:encode_1:encode_3:encode_2 -> 1:3:0:2:encArg:encode_0:encode_1:encode_3:encode_2
3 :: 1:3:0:2:encArg:encode_0:encode_1:encode_3:encode_2 -> 1:3:0:2:encArg:encode_0:encode_1:encode_3:encode_2
2 :: 1:3:0:2:encArg:encode_0:encode_1:encode_3:encode_2 -> 1:3:0:2:encArg:encode_0:encode_1:encode_3:encode_2
encArg :: cons_0:cons_1:cons_2:cons_3 -> 1:3:0:2: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 -> 1:3:0:2:encArg:encode_0:encode_1:encode_3:encode_2
encode_1 :: cons_0:cons_1:cons_2:cons_3 -> 1:3:0:2:encArg:encode_0:encode_1:encode_3:encode_2
encode_3 :: cons_0:cons_1:cons_2:cons_3 -> 1:3:0:2:encArg:encode_0:encode_1:encode_3:encode_2
encode_2 :: cons_0:cons_1:cons_2:cons_3 -> 1:3:0:2:encArg:encode_0:encode_1:encode_3:encode_2
hole_1:3:0:2:encArg:encode_0:encode_1:encode_3:encode_21_4 :: 1:3:0:2: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:
1, 0, 3, 2, encArg

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

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

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

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


The TRS R consists of the following rules:

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

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

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

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

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

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

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

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


The TRS R consists of the following rules:

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

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

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

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

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

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


The TRS R consists of the following rules:

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

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

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

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

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

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


The TRS R consists of the following rules:

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

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

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

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

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

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

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:

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

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

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

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

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

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

   0'(c_3(c_0(c_0(c_2(c_1(c_0(c_0(c_2(c_1(c_2(c_2(c_3(c_2(c_0(c_0(c_2(c_0(c_3(c_0(c_0(c_2(c_1(c_0(c_0(c_2(c_1(c_2(c_2(c_3(c_2(c_0(c_0(c_2(c_0(x1'))))))))))))))))))))))))))))))))))) -> 0'(2'(0'(0'(0'(2'(0'(3'(0'(2'(2'(0'(1'(1'(3'(2'(2'(0'(2'(0'(0'(0'(2'(0'(3'(0'(2'(2'(0'(1'(1'(3'(2'(2'(0'(x1'))))))))))))))))))))))))))))))))))) [2]
   0'(c_3(c_0(c_0(c_2(c_1(c_0(c_0(c_2(c_1(c_2(c_2(c_3(c_2(c_0(c_0(c_2(c_0(c_0(c_3(c_3(c_0(c_2(c_3(c_0(c_3(c_0(c_2(c_1(c_0(c_0(c_0(c_3(c_3(c_0(x1''))))))))))))))))))))))))))))))))))) -> 0'(2'(0'(0'(0'(2'(0'(3'(0'(2'(2'(0'(1'(1'(3'(2'(2'(0'(0'(3'(1'(0'(3'(0'(0'(3'(3'(0'(3'(3'(0'(0'(2'(0'(2'(x1''))))))))))))))))))))))))))))))))))) [2]
   0'(c_3(c_0(c_0(c_2(c_1(c_0(c_0(c_2(c_1(c_2(c_2(c_3(c_2(c_0(c_0(c_2(c_0(c_0(c_1(c_1(c_2(c_1(c_3(c_1(c_3(c_1(c_1(c_1(c_2(c_2(c_1(c_0(c_2(c_2(x11))))))))))))))))))))))))))))))))))) -> 0'(2'(0'(0'(0'(2'(0'(3'(0'(2'(2'(0'(1'(1'(3'(2'(2'(2'(1'(1'(1'(1'(0'(3'(1'(1'(1'(2'(0'(3'(1'(0'(2'(2'(2'(x11))))))))))))))))))))))))))))))))))) [2]
   0'(c_3(c_0(c_0(c_2(c_1(c_0(c_0(c_2(c_1(c_2(c_2(c_3(c_2(c_0(c_0(c_2(c_0(c_3(c_3(c_0(c_0(c_0(c_1(c_3(c_2(c_2(c_3(c_2(c_1(c_3(c_0(c_0(c_2(c_1(x12))))))))))))))))))))))))))))))))))) -> 0'(2'(0'(0'(0'(2'(0'(3'(0'(2'(2'(0'(1'(1'(3'(2'(2'(0'(2'(2'(0'(0'(3'(0'(2'(3'(1'(0'(3'(1'(0'(3'(2'(3'(1'(x12))))))))))))))))))))))))))))))))))) [2]
   0'(c_3(c_0(c_0(c_2(c_1(c_0(c_0(c_2(c_1(c_2(c_2(c_3(c_2(c_0(c_0(c_2(c_0(c_0(c_0(c_0(c_1(c_1(c_3(c_2(c_3(c_3(c_0(c_1(c_1(c_2(c_0(c_1(c_3(c_1(x13))))))))))))))))))))))))))))))))))) -> 0'(2'(0'(0'(0'(2'(0'(3'(0'(2'(2'(0'(1'(1'(3'(2'(2'(0'(0'(0'(1'(1'(1'(0'(1'(3'(3'(1'(0'(3'(2'(0'(2'(3'(1'(x13))))))))))))))))))))))))))))))))))) [2]
   0'(c_3(c_0(c_0(c_2(c_1(c_0(c_0(c_2(c_1(c_2(c_2(c_3(c_2(c_0(c_0(c_2(c_0(c_2(c_1(c_2(c_1(c_1(c_2(c_3(c_2(c_1(c_0(c_0(c_1(c_0(c_0(c_3(c_0(c_3(x14))))))))))))))))))))))))))))))))))) -> 0'(2'(0'(0'(0'(2'(0'(3'(0'(2'(2'(0'(1'(1'(3'(2'(2'(0'(3'(2'(0'(0'(1'(2'(1'(0'(2'(1'(1'(3'(1'(0'(0'(2'(3'(x14))))))))))))))))))))))))))))))))))) [2]
   0'(c_3(c_0(c_0(c_2(c_1(c_0(c_0(c_2(c_1(c_2(c_2(c_3(c_2(c_0(c_0(c_2(c_0(c_0(c_0(c_2(c_3(c_0(c_0(c_0(c_0(c_0(c_0(c_1(c_1(c_0(c_3(c_0(c_0(c_0(x15))))))))))))))))))))))))))))))))))) -> 0'(2'(0'(0'(0'(2'(0'(3'(0'(2'(2'(0'(1'(1'(3'(2'(2'(0'(0'(3'(1'(0'(0'(0'(0'(2'(0'(0'(0'(3'(1'(0'(0'(0'(0'(x15))))))))))))))))))))))))))))))))))) [2]
   0'(c_3(c_0(c_0(c_2(c_1(c_0(c_0(c_2(c_1(c_2(c_2(c_3(c_2(c_0(c_0(c_2(c_0(c_3(c_2(c_0(c_3(c_0(c_0(c_1(c_2(c_1(c_2(c_0(c_1(c_2(c_1(c_3(c_0(c_0(x16))))))))))))))))))))))))))))))))))) -> 0'(2'(0'(0'(0'(2'(0'(3'(0'(2'(2'(0'(1'(1'(3'(2'(2'(0'(2'(2'(0'(3'(3'(1'(0'(0'(3'(0'(2'(1'(1'(0'(1'(2'(0'(x16))))))))))))))))))))))))))))))))))) [2]
   0'(c_3(c_0(c_0(c_2(c_1(c_0(c_0(c_2(c_1(c_2(c_2(c_3(c_2(c_0(c_0(c_2(c_0(c_2(c_0(c_2(c_1(c_1(c_2(c_1(c_2(c_0(c_0(c_3(c_2(c_2(c_3(c_0(c_0(c_3(x17))))))))))))))))))))))))))))))))))) -> 0'(2'(0'(0'(0'(2'(0'(3'(0'(2'(2'(0'(1'(1'(3'(2'(2'(0'(3'(2'(2'(0'(2'(2'(2'(2'(0'(3'(0'(1'(0'(1'(1'(0'(3'(x17))))))))))))))))))))))))))))))))))) [2]
   0'(c_3(c_0(c_0(c_2(c_1(c_0(c_0(c_2(c_1(c_2(c_2(c_3(c_2(c_0(c_0(c_2(c_0(c_2(c_3(c_1(c_2(c_3(c_2(c_1(c_0(c_1(c_0(c_0(c_3(c_1(c_3(c_1(c_2(c_3(x18))))))))))))))))))))))))))))))))))) -> 0'(2'(0'(0'(0'(2'(0'(3'(0'(2'(2'(0'(1'(1'(3'(2'(2'(0'(2'(3'(3'(1'(2'(1'(1'(1'(0'(2'(3'(1'(0'(2'(0'(3'(3'(x18))))))))))))))))))))))))))))))))))) [2]
   0'(c_3(c_0(c_0(c_2(c_1(c_0(c_0(c_2(c_1(c_2(c_2(c_3(c_2(c_0(c_0(c_2(c_0(c_2(c_0(c_1(c_3(c_0(c_0(c_1(c_3(c_0(c_2(c_0(c_1(c_3(c_1(c_1(c_3(c_1(x19))))))))))))))))))))))))))))))))))) -> 0'(2'(0'(0'(0'(2'(0'(3'(0'(2'(2'(0'(1'(1'(3'(2'(2'(0'(2'(0'(1'(3'(1'(1'(2'(1'(0'(0'(3'(3'(0'(0'(1'(3'(1'(x19))))))))))))))))))))))))))))))))))) [2]
   0'(c_3(c_0(c_0(c_2(c_1(c_0(c_0(c_2(c_1(c_2(c_2(c_3(c_2(c_0(c_0(c_2(c_0(x1)))))))))))))))))) -> 0'(2'(0'(0'(0'(2'(0'(3'(0'(2'(2'(0'(1'(1'(3'(2'(2'(c_0(x1)))))))))))))))))) [1]
   0'(c_3(c_0(c_0(c_2(c_1(c_0(c_0(c_2(c_1(c_2(c_2(c_3(c_2(c_0(c_0(c_2(c_0(x1)))))))))))))))))) -> 0'(2'(0'(0'(0'(2'(0'(3'(0'(2'(2'(0'(1'(1'(3'(2'(2'(const))))))))))))))))) [1]
   2'(c_1(c_0(c_1(c_1(c_2(c_2(c_3(c_3(c_2(c_1(c_2(c_1(c_2(c_2(c_3(c_0(c_2(x1)))))))))))))))))) -> 2'(3'(2'(1'(1'(0'(1'(2'(2'(2'(0'(3'(2'(2'(1'(1'(3'(2'(x1)))))))))))))))))) [1]
   3'(c_0(c_0(c_3(c_1(c_3(c_3(c_2(c_2(c_1(c_1(c_0(c_2(c_1(c_2(c_0(c_2(c_0(x1)))))))))))))))))) -> 3'(3'(1'(0'(2'(0'(2'(0'(2'(0'(2'(3'(1'(1'(3'(1'(0'(2'(x1)))))))))))))))))) [1]
   2'(c_0(c_3(c_2(c_0(c_3(c_1(c_0(c_0(c_0(c_1(c_3(c_0(c_0(c_3(c_0(c_2(c_2(x1)))))))))))))))))) -> 2'(3'(0'(0'(0'(0'(0'(0'(0'(2'(3'(1'(3'(1'(0'(3'(2'(2'(x1)))))))))))))))))) [1]
   2'(c_1(c_1(c_1(c_0(c_1(c_0(c_0(c_3(c_3(c_0(c_3(c_2(c_0(c_1(c_2(c_1(c_3(x1)))))))))))))))))) -> 2'(2'(3'(0'(3'(1'(0'(0'(3'(0'(1'(1'(1'(1'(2'(1'(0'(3'(x1)))))))))))))))))) [1]
   0'(c_0(c_3(c_3(c_0(c_2(c_3(c_0(c_3(c_0(c_2(c_1(c_0(c_0(c_0(c_3(c_3(c_0(x1)))))))))))))))))) -> 0'(0'(3'(1'(0'(3'(0'(0'(3'(3'(0'(3'(3'(0'(0'(2'(0'(2'(x1)))))))))))))))))) [1]
   2'(c_2(c_1(c_3(c_0(c_1(c_3(c_0(c_1(c_2(c_0(c_2(c_2(c_1(c_3(c_2(c_2(c_2(x1)))))))))))))))))) -> 1'(1'(2'(2'(3'(3'(3'(2'(2'(0'(2'(0'(1'(0'(2'(2'(1'(2'(x1)))))))))))))))))) [1]
   3'(c_2(c_0(c_1(c_0(c_0(c_0(c_3(c_1(c_3(c_1(c_3(c_3(c_2(c_0(c_1(c_1(c_1(c_0(c_0(c_1(c_0(c_0(c_3(c_3(c_0(c_0(c_2(c_1(c_2(c_1(c_3(c_3(c_1(c_3(x1157))))))))))))))))))))))))))))))))))) -> 3'(2'(0'(3'(0'(1'(1'(1'(0'(1'(1'(0'(3'(0'(3'(2'(3'(1'(0'(3'(0'(0'(3'(3'(0'(0'(2'(1'(0'(3'(1'(2'(3'(1'(1'(x1157))))))))))))))))))))))))))))))))))) [2]
   3'(c_2(c_0(c_1(c_0(c_0(c_0(c_3(c_1(c_3(c_1(c_3(c_3(c_2(c_0(c_1(c_1(c_1(c_3(c_3(c_0(c_3(c_2(c_1(c_1(c_1(c_0(c_1(c_3(c_2(c_3(c_1(c_1(c_2(c_1(x1158))))))))))))))))))))))))))))))))))) -> 3'(2'(0'(3'(0'(1'(1'(1'(0'(1'(1'(0'(3'(0'(3'(2'(3'(1'(3'(1'(3'(0'(1'(1'(3'(2'(3'(2'(2'(0'(3'(1'(1'(1'(1'(x1158))))))))))))))))))))))))))))))))))) [2]
   3'(c_2(c_0(c_1(c_0(c_0(c_0(c_3(c_1(c_3(c_1(c_3(c_3(c_2(c_0(c_1(c_1(c_1(c_2(c_3(c_1(c_3(c_0(c_1(c_2(c_2(c_0(c_2(c_0(c_1(c_1(c_1(c_1(c_0(c_1(x1159))))))))))))))))))))))))))))))))))) -> 3'(2'(0'(3'(0'(1'(1'(1'(0'(1'(1'(0'(3'(0'(3'(2'(3'(1'(2'(2'(0'(1'(1'(1'(1'(0'(0'(3'(2'(1'(0'(2'(3'(1'(1'(x1159))))))))))))))))))))))))))))))))))) [2]
   3'(c_2(c_0(c_1(c_0(c_0(c_0(c_3(c_1(c_3(c_1(c_3(c_3(c_2(c_0(c_1(c_1(c_1(c_0(c_3(c_1(c_2(c_0(c_3(c_3(c_2(c_1(c_2(c_0(c_0(c_1(c_0(c_2(c_1(c_3(x1160))))))))))))))))))))))))))))))))))) -> 3'(2'(0'(3'(0'(1'(1'(1'(0'(1'(1'(0'(3'(0'(3'(2'(3'(1'(0'(3'(3'(1'(0'(2'(0'(3'(1'(0'(3'(2'(1'(2'(2'(1'(0'(x1160))))))))))))))))))))))))))))))))))) [2]
   3'(c_2(c_0(c_1(c_0(c_0(c_0(c_3(c_1(c_3(c_1(c_3(c_3(c_2(c_0(c_1(c_1(c_1(c_1(c_3(c_2(c_1(c_0(c_0(c_3(c_3(c_1(c_1(c_3(c_2(c_0(c_1(c_2(c_1(c_1(x1161))))))))))))))))))))))))))))))))))) -> 3'(2'(0'(3'(0'(1'(1'(1'(0'(1'(1'(0'(3'(0'(3'(2'(3'(1'(1'(2'(3'(3'(0'(0'(3'(3'(1'(1'(1'(1'(1'(0'(2'(2'(1'(x1161))))))))))))))))))))))))))))))))))) [2]
   3'(c_2(c_0(c_1(c_0(c_0(c_0(c_3(c_1(c_3(c_1(c_3(c_3(c_2(c_0(c_1(c_1(c_1(c_1(c_2(c_0(c_3(c_0(c_2(c_1(c_3(c_3(c_0(c_3(c_3(c_3(c_3(c_3(c_1(c_2(x1162))))))))))))))))))))))))))))))))))) -> 3'(2'(0'(3'(0'(1'(1'(1'(0'(1'(1'(0'(3'(0'(3'(2'(3'(1'(0'(3'(3'(0'(3'(3'(1'(0'(2'(3'(1'(1'(3'(2'(3'(2'(3'(x1162))))))))))))))))))))))))))))))))))) [2]
   3'(c_2(c_0(c_1(c_0(c_0(c_0(c_3(c_1(c_3(c_1(c_3(c_3(c_2(c_0(c_1(c_1(c_1(c_3(c_0(c_3(c_0(c_1(c_3(c_1(c_2(c_1(c_0(c_2(c_1(c_1(c_3(c_0(c_1(c_1(x1163))))))))))))))))))))))))))))))))))) -> 3'(2'(0'(3'(0'(1'(1'(1'(0'(1'(1'(0'(3'(0'(3'(2'(3'(1'(0'(1'(0'(3'(1'(3'(1'(0'(1'(1'(3'(2'(3'(0'(2'(1'(1'(x1163))))))))))))))))))))))))))))))))))) [2]
   3'(c_2(c_0(c_1(c_0(c_0(c_0(c_3(c_1(c_3(c_1(c_3(c_3(c_2(c_0(c_1(c_1(c_1(c_3(c_3(c_3(c_1(c_2(c_0(c_1(c_2(c_0(c_0(c_2(c_1(c_3(c_3(c_3(c_0(c_2(x1164))))))))))))))))))))))))))))))))))) -> 3'(2'(0'(3'(0'(1'(1'(1'(0'(1'(1'(0'(3'(0'(3'(2'(3'(1'(3'(1'(1'(0'(3'(3'(0'(2'(0'(1'(3'(0'(3'(2'(3'(2'(2'(x1164))))))))))))))))))))))))))))))))))) [2]
   3'(c_2(c_0(c_1(c_0(c_0(c_0(c_3(c_1(c_3(c_1(c_3(c_3(c_2(c_0(c_1(c_1(c_1(c_1(c_2(c_1(c_0(c_0(c_3(c_0(c_3(c_1(c_3(c_0(c_1(c_3(c_1(c_3(c_3(c_3(x1165))))))))))))))))))))))))))))))))))) -> 3'(2'(0'(3'(0'(1'(1'(1'(0'(1'(1'(0'(3'(0'(3'(2'(3'(3'(0'(1'(1'(1'(1'(3'(0'(3'(1'(1'(0'(3'(0'(2'(3'(3'(3'(x1165))))))))))))))))))))))))))))))))))) [2]
   3'(c_2(c_0(c_1(c_0(c_0(c_0(c_3(c_1(c_3(c_1(c_3(c_3(c_2(c_0(c_1(c_1(c_1(c_3(c_0(c_1(c_3(c_1(c_2(c_1(c_2(c_1(c_2(c_2(c_2(c_1(c_3(c_0(c_1(c_3(x1166))))))))))))))))))))))))))))))))))) -> 3'(2'(0'(3'(0'(1'(1'(1'(0'(1'(1'(0'(3'(0'(3'(2'(3'(2'(3'(2'(1'(1'(2'(2'(1'(3'(1'(0'(2'(1'(1'(1'(0'(3'(3'(x1166))))))))))))))))))))))))))))))))))) [2]
   3'(c_2(c_0(c_1(c_0(c_0(c_0(c_3(c_1(c_3(c_1(c_3(c_3(c_2(c_0(c_1(c_1(c_1(c_2(c_2(c_3(c_3(c_2(c_0(c_1(c_3(c_1(c_2(c_0(c_3(c_0(c_3(c_2(c_0(c_2(x1167))))))))))))))))))))))))))))))))))) -> 3'(2'(0'(3'(0'(1'(1'(1'(0'(1'(1'(0'(3'(0'(3'(2'(3'(2'(3'(1'(0'(3'(1'(0'(2'(3'(3'(2'(2'(0'(0'(3'(1'(2'(2'(x1167))))))))))))))))))))))))))))))))))) [2]
   3'(c_2(c_0(c_1(c_0(c_0(c_0(c_3(c_1(c_3(c_1(c_3(c_3(c_2(c_0(c_1(c_1(c_1(c_3(c_2(c_1(c_0(c_1(c_2(c_1(c_3(c_1(c_1(c_3(c_3(c_3(c_0(c_2(c_1(c_3(x1168))))))))))))))))))))))))))))))))))) -> 3'(2'(0'(3'(0'(1'(1'(1'(0'(1'(1'(0'(3'(0'(3'(2'(3'(1'(0'(3'(1'(1'(2'(2'(3'(2'(3'(1'(1'(3'(1'(1'(0'(3'(3'(x1168))))))))))))))))))))))))))))))))))) [2]
   3'(c_2(c_0(c_1(c_0(c_0(c_0(c_3(c_1(c_3(c_1(c_3(c_3(c_2(c_0(c_1(c_1(c_1(c_3(c_3(c_1(c_3(c_2(c_2(c_2(c_2(c_2(c_0(c_1(c_2(c_2(c_0(c_3(c_0(c_3(x1169))))))))))))))))))))))))))))))))))) -> 3'(2'(0'(3'(0'(1'(1'(1'(0'(1'(1'(0'(3'(0'(3'(2'(3'(1'(3'(2'(0'(1'(0'(2'(2'(2'(2'(2'(1'(0'(3'(3'(3'(2'(3'(x1169))))))))))))))))))))))))))))))))))) [2]
   3'(c_2(c_0(c_1(c_0(c_0(c_0(c_3(c_1(c_3(c_1(c_3(c_3(c_2(c_0(c_1(c_1(c_1(c_1(c_2(c_0(c_3(c_0(c_1(c_3(c_0(c_2(c_3(c_3(c_3(c_2(c_2(c_3(c_0(c_3(x1170))))))))))))))))))))))))))))))))))) -> 3'(2'(0'(3'(0'(1'(1'(1'(0'(1'(1'(0'(3'(0'(3'(2'(3'(3'(3'(0'(3'(1'(0'(3'(2'(3'(2'(2'(0'(3'(2'(1'(1'(0'(3'(x1170))))))))))))))))))))))))))))))))))) [2]
   3'(c_2(c_0(c_1(c_0(c_0(c_0(c_3(c_1(c_3(c_1(c_3(c_3(c_2(c_0(c_1(c_1(c_1(x1)))))))))))))))))) -> 3'(2'(0'(3'(0'(1'(1'(1'(0'(1'(1'(0'(3'(0'(3'(2'(3'(c_1(x1)))))))))))))))))) [1]
   3'(c_2(c_0(c_1(c_0(c_0(c_0(c_3(c_1(c_3(c_1(c_3(c_3(c_2(c_0(c_1(c_1(c_1(x1)))))))))))))))))) -> 3'(2'(0'(3'(0'(1'(1'(1'(0'(1'(1'(0'(3'(0'(3'(2'(3'(const))))))))))))))))) [1]
   1'(c_0(c_0(c_1(c_0(c_0(c_3(c_3(c_0(c_0(c_2(c_1(c_2(c_1(c_3(c_3(c_1(c_3(c_0(c_0(c_1(c_0(c_0(c_3(c_3(c_0(c_0(c_2(c_1(c_2(c_1(c_3(c_3(c_1(c_3(x1171))))))))))))))))))))))))))))))))))) -> 1'(0'(3'(0'(0'(3'(3'(0'(0'(2'(1'(0'(3'(1'(2'(3'(1'(1'(0'(3'(0'(0'(3'(3'(0'(0'(2'(1'(0'(3'(1'(2'(3'(1'(1'(x1171))))))))))))))))))))))))))))))))))) [2]
   1'(c_0(c_0(c_1(c_0(c_0(c_3(c_3(c_0(c_0(c_2(c_1(c_2(c_1(c_3(c_3(c_1(c_3(c_3(c_3(c_0(c_3(c_2(c_1(c_1(c_1(c_0(c_1(c_3(c_2(c_3(c_1(c_1(c_2(c_1(x1172))))))))))))))))))))))))))))))))))) -> 1'(0'(3'(0'(0'(3'(3'(0'(0'(2'(1'(0'(3'(1'(2'(3'(1'(1'(3'(1'(3'(0'(1'(1'(3'(2'(3'(2'(2'(0'(3'(1'(1'(1'(1'(x1172))))))))))))))))))))))))))))))))))) [2]
   1'(c_0(c_0(c_1(c_0(c_0(c_3(c_3(c_0(c_0(c_2(c_1(c_2(c_1(c_3(c_3(c_1(c_3(c_2(c_3(c_1(c_3(c_0(c_1(c_2(c_2(c_0(c_2(c_0(c_1(c_1(c_1(c_1(c_0(c_1(x1173))))))))))))))))))))))))))))))))))) -> 1'(0'(3'(0'(0'(3'(3'(0'(0'(2'(1'(0'(3'(1'(2'(3'(1'(1'(2'(2'(0'(1'(1'(1'(1'(0'(0'(3'(2'(1'(0'(2'(3'(1'(1'(x1173))))))))))))))))))))))))))))))))))) [2]
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   3'(c_2(c_2(c_3(c_1(c_2(c_2(c_2(c_1(c_3(c_3(c_3(c_0(c_2(c_1(c_3(c_2(c_1(x1)))))))))))))))))) -> 3'(2'(2'(1'(2'(2'(2'(3'(2'(3'(3'(1'(1'(3'(3'(0'(2'(const))))))))))))))))) [1]
   3'(c_0(c_1(c_0(c_2(c_0(c_3(c_1(c_3(c_3(c_1(c_3(c_3(c_0(c_2(c_2(c_3(c_0(c_3(c_0(c_0(c_2(c_1(c_0(c_0(c_2(c_1(c_2(c_2(c_3(c_2(c_0(c_0(c_2(c_0(x1227))))))))))))))))))))))))))))))))))) -> 3'(0'(2'(1'(0'(3'(0'(3'(3'(0'(2'(3'(3'(1'(1'(2'(3'(0'(2'(0'(0'(0'(2'(0'(3'(0'(2'(2'(0'(1'(1'(3'(2'(2'(0'(x1227))))))))))))))))))))))))))))))))))) [2]
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   3'(c_3(c_2(c_0(c_3(c_1(c_2(c_2(c_3(c_1(c_3(c_2(c_3(c_2(c_2(c_1(c_2(c_0(x1)))))))))))))))))) -> 3'(2'(1'(3'(2'(3'(2'(0'(3'(2'(2'(3'(2'(3'(1'(1'(2'(const))))))))))))))))) [1]
   0'(c_0(c_1(c_1(c_2(c_1(c_3(c_1(c_3(c_1(c_1(c_1(c_2(c_2(c_1(c_0(c_2(c_2(x1)))))))))))))))))) -> 2'(1'(1'(1'(1'(0'(3'(1'(1'(1'(2'(0'(3'(1'(0'(2'(2'(2'(x1)))))))))))))))))) [1]
   3'(c_1(c_2(c_3(c_0(c_2(c_2(c_1(c_1(c_3(c_1(c_0(c_0(c_1(c_0(c_2(c_3(c_0(c_3(c_0(c_0(c_2(c_1(c_0(c_0(c_2(c_1(c_2(c_2(c_3(c_2(c_0(c_0(c_2(c_0(x1272))))))))))))))))))))))))))))))))))) -> 3'(1'(0'(0'(0'(3'(1'(1'(0'(3'(1'(2'(1'(2'(2'(3'(2'(0'(2'(0'(0'(0'(2'(0'(3'(0'(2'(2'(0'(1'(1'(3'(2'(2'(0'(x1272))))))))))))))))))))))))))))))))))) [2]
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   3'(c_1(c_2(c_3(c_0(c_2(c_2(c_1(c_1(c_3(c_1(c_0(c_0(c_1(c_0(c_2(c_3(c_0(x1)))))))))))))))))) -> 3'(1'(0'(0'(0'(3'(1'(1'(0'(3'(1'(2'(1'(2'(2'(3'(2'(const))))))))))))))))) [1]
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   3'(c_0(c_1(c_3(c_2(c_2(c_3(c_2(c_0(c_1(c_0(c_0(c_3(c_0(c_1(c_0(c_2(c_0(c_3(c_0(c_0(c_2(c_1(c_0(c_0(c_2(c_1(c_2(c_2(c_3(c_2(c_0(c_0(c_2(c_0(x1709))))))))))))))))))))))))))))))))))) -> 2'(3'(1'(2'(0'(2'(0'(3'(1'(0'(0'(0'(3'(2'(3'(1'(0'(0'(2'(0'(0'(0'(2'(0'(3'(0'(2'(2'(0'(1'(1'(3'(2'(2'(0'(x1709))))))))))))))))))))))))))))))))))) [2]
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   3'(c_0(c_1(c_3(c_2(c_2(c_3(c_2(c_0(c_1(c_0(c_0(c_3(c_0(c_1(c_0(c_2(c_0(x1)))))))))))))))))) -> 2'(3'(1'(2'(0'(2'(0'(3'(1'(0'(0'(0'(3'(2'(3'(1'(0'(const))))))))))))))))) [1]
   2'(c_2(c_3(c_1(c_3(c_1(c_3(c_0(c_2(c_1(c_3(c_1(c_2(c_3(c_1(c_3(c_3(c_1(c_0(c_0(c_1(c_0(c_0(c_3(c_3(c_0(c_0(c_2(c_1(c_2(c_1(c_3(c_3(c_1(c_3(x1720))))))))))))))))))))))))))))))))))) -> 2'(3'(3'(1'(3'(1'(3'(3'(2'(3'(1'(1'(2'(3'(2'(1'(0'(1'(0'(3'(0'(0'(3'(3'(0'(0'(2'(1'(0'(3'(1'(2'(3'(1'(1'(x1720))))))))))))))))))))))))))))))))))) [2]
   2'(c_2(c_3(c_1(c_3(c_1(c_3(c_0(c_2(c_1(c_3(c_1(c_2(c_3(c_1(c_3(c_3(c_1(c_3(c_3(c_0(c_3(c_2(c_1(c_1(c_1(c_0(c_1(c_3(c_2(c_3(c_1(c_1(c_2(c_1(x1721))))))))))))))))))))))))))))))))))) -> 2'(3'(3'(1'(3'(1'(3'(3'(2'(3'(1'(1'(2'(3'(2'(1'(0'(1'(3'(1'(3'(0'(1'(1'(3'(2'(3'(2'(2'(0'(3'(1'(1'(1'(1'(x1721))))))))))))))))))))))))))))))))))) [2]
   2'(c_2(c_3(c_1(c_3(c_1(c_3(c_0(c_2(c_1(c_3(c_1(c_2(c_3(c_1(c_3(c_3(c_1(c_2(c_3(c_1(c_3(c_0(c_1(c_2(c_2(c_0(c_2(c_0(c_1(c_1(c_1(c_1(c_0(c_1(x1722))))))))))))))))))))))))))))))))))) -> 2'(3'(3'(1'(3'(1'(3'(3'(2'(3'(1'(1'(2'(3'(2'(1'(0'(1'(2'(2'(0'(1'(1'(1'(1'(0'(0'(3'(2'(1'(0'(2'(3'(1'(1'(x1722))))))))))))))))))))))))))))))))))) [2]
   2'(c_2(c_3(c_1(c_3(c_1(c_3(c_0(c_2(c_1(c_3(c_1(c_2(c_3(c_1(c_3(c_3(c_1(c_0(c_3(c_1(c_2(c_0(c_3(c_3(c_2(c_1(c_2(c_0(c_0(c_1(c_0(c_2(c_1(c_3(x1723))))))))))))))))))))))))))))))))))) -> 2'(3'(3'(1'(3'(1'(3'(3'(2'(3'(1'(1'(2'(3'(2'(1'(0'(1'(0'(3'(3'(1'(0'(2'(0'(3'(1'(0'(3'(2'(1'(2'(2'(1'(0'(x1723))))))))))))))))))))))))))))))))))) [2]
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   3'(c_3(c_3(c_0(c_1(c_3(c_3(c_1(c_2(c_3(c_0(c_2(c_1(c_3(c_2(c_1(c_0(c_0(c_3(c_0(c_0(c_2(c_1(c_0(c_0(c_2(c_1(c_2(c_2(c_3(c_2(c_0(c_0(c_2(c_0(x11102))))))))))))))))))))))))))))))))))) -> 3'(1'(1'(1'(3'(0'(1'(3'(0'(2'(3'(2'(3'(0'(3'(2'(3'(0'(2'(0'(0'(0'(2'(0'(3'(0'(2'(2'(0'(1'(1'(3'(2'(2'(0'(x11102))))))))))))))))))))))))))))))))))) [2]
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   2'(c_0(c_1(c_2(c_0(c_0(c_0(c_2(c_2(c_1(c_3(c_2(c_1(c_0(c_1(c_0(c_2(c_0(x1)))))))))))))))))) -> 2'(0'(2'(0'(1'(0'(1'(1'(0'(1'(0'(3'(2'(0'(2'(2'(2'(const))))))))))))))))) [1]
   3'(c_3(c_2(c_1(c_1(c_1(c_1(c_3(c_0(c_0(c_3(c_1(c_2(c_0(c_2(c_2(c_3(c_0(c_3(c_0(c_0(c_2(c_1(c_0(c_0(c_2(c_1(c_2(c_2(c_3(c_2(c_0(c_0(c_2(c_0(x11394))))))))))))))))))))))))))))))))))) -> 3'(3'(1'(1'(0'(1'(0'(2'(0'(1'(1'(2'(3'(3'(2'(2'(3'(0'(2'(0'(0'(0'(2'(0'(3'(0'(2'(2'(0'(1'(1'(3'(2'(2'(0'(x11394))))))))))))))))))))))))))))))))))) [2]
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   3'(c_3(c_2(c_0(c_3(c_2(c_1(c_2(c_2(c_1(c_2(c_0(c_1(c_2(c_3(c_3(c_2(c_0(x1)))))))))))))))))) -> 2'(0'(3'(3'(1'(2'(1'(2'(1'(0'(2'(3'(3'(2'(3'(2'(2'(const))))))))))))))))) [1]
   3'(c_2(c_1(c_3(c_2(c_2(c_3(c_3(c_3(c_2(c_1(c_2(c_0(c_1(c_0(c_1(c_1(c_2(x1)))))))))))))))))) -> 2'(3'(1'(1'(0'(2'(2'(0'(3'(3'(3'(1'(2'(3'(1'(2'(1'(2'(x1)))))))))))))))))) [1]
   2'(c_3(c_2(c_1(c_2(c_0(c_3(c_0(c_1(c_3(c_3(c_3(c_0(c_2(c_3(c_0(c_0(c_0(c_3(c_0(c_0(c_2(c_1(c_0(c_0(c_2(c_1(c_2(c_2(c_3(c_2(c_0(c_0(c_2(c_0(x11577))))))))))))))))))))))))))))))))))) -> 3'(0'(0'(3'(0'(2'(3'(1'(1'(3'(3'(2'(2'(0'(3'(0'(2'(0'(2'(0'(0'(0'(2'(0'(3'(0'(2'(2'(0'(1'(1'(3'(2'(2'(0'(x11577))))))))))))))))))))))))))))))))))) [2]
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   2'(c_3(c_2(c_1(c_2(c_0(c_3(c_0(c_1(c_3(c_3(c_3(c_0(c_2(c_3(c_0(c_0(c_0(c_0(c_0(c_0(c_1(c_1(c_3(c_2(c_3(c_3(c_0(c_1(c_1(c_2(c_0(c_1(c_3(c_1(x11581))))))))))))))))))))))))))))))))))) -> 3'(0'(0'(3'(0'(2'(3'(1'(1'(3'(3'(2'(2'(0'(3'(0'(2'(0'(0'(0'(1'(1'(1'(0'(1'(3'(3'(1'(0'(3'(2'(0'(2'(3'(1'(x11581))))))))))))))))))))))))))))))))))) [2]
   2'(c_3(c_2(c_1(c_2(c_0(c_3(c_0(c_1(c_3(c_3(c_3(c_0(c_2(c_3(c_0(c_0(c_0(c_2(c_1(c_2(c_1(c_1(c_2(c_3(c_2(c_1(c_0(c_0(c_1(c_0(c_0(c_3(c_0(c_3(x11582))))))))))))))))))))))))))))))))))) -> 3'(0'(0'(3'(0'(2'(3'(1'(1'(3'(3'(2'(2'(0'(3'(0'(2'(0'(3'(2'(0'(0'(1'(2'(1'(0'(2'(1'(1'(3'(1'(0'(0'(2'(3'(x11582))))))))))))))))))))))))))))))))))) [2]
   2'(c_3(c_2(c_1(c_2(c_0(c_3(c_0(c_1(c_3(c_3(c_3(c_0(c_2(c_3(c_0(c_0(c_0(c_0(c_0(c_2(c_3(c_0(c_0(c_0(c_0(c_0(c_0(c_1(c_1(c_0(c_3(c_0(c_0(c_0(x11583))))))))))))))))))))))))))))))))))) -> 3'(0'(0'(3'(0'(2'(3'(1'(1'(3'(3'(2'(2'(0'(3'(0'(2'(0'(0'(3'(1'(0'(0'(0'(0'(2'(0'(0'(0'(3'(1'(0'(0'(0'(0'(x11583))))))))))))))))))))))))))))))))))) [2]
   2'(c_3(c_2(c_1(c_2(c_0(c_3(c_0(c_1(c_3(c_3(c_3(c_0(c_2(c_3(c_0(c_0(c_0(c_3(c_2(c_0(c_3(c_0(c_0(c_1(c_2(c_1(c_2(c_0(c_1(c_2(c_1(c_3(c_0(c_0(x11584))))))))))))))))))))))))))))))))))) -> 3'(0'(0'(3'(0'(2'(3'(1'(1'(3'(3'(2'(2'(0'(3'(0'(2'(0'(2'(2'(0'(3'(3'(1'(0'(0'(3'(0'(2'(1'(1'(0'(1'(2'(0'(x11584))))))))))))))))))))))))))))))))))) [2]
   2'(c_3(c_2(c_1(c_2(c_0(c_3(c_0(c_1(c_3(c_3(c_3(c_0(c_2(c_3(c_0(c_0(c_0(c_2(c_0(c_2(c_1(c_1(c_2(c_1(c_2(c_0(c_0(c_3(c_2(c_2(c_3(c_0(c_0(c_3(x11585))))))))))))))))))))))))))))))))))) -> 3'(0'(0'(3'(0'(2'(3'(1'(1'(3'(3'(2'(2'(0'(3'(0'(2'(0'(3'(2'(2'(0'(2'(2'(2'(2'(0'(3'(0'(1'(0'(1'(1'(0'(3'(x11585))))))))))))))))))))))))))))))))))) [2]
   2'(c_3(c_2(c_1(c_2(c_0(c_3(c_0(c_1(c_3(c_3(c_3(c_0(c_2(c_3(c_0(c_0(c_0(c_2(c_3(c_1(c_2(c_3(c_2(c_1(c_0(c_1(c_0(c_0(c_3(c_1(c_3(c_1(c_2(c_3(x11586))))))))))))))))))))))))))))))))))) -> 3'(0'(0'(3'(0'(2'(3'(1'(1'(3'(3'(2'(2'(0'(3'(0'(2'(0'(2'(3'(3'(1'(2'(1'(1'(1'(0'(2'(3'(1'(0'(2'(0'(3'(3'(x11586))))))))))))))))))))))))))))))))))) [2]
   2'(c_3(c_2(c_1(c_2(c_0(c_3(c_0(c_1(c_3(c_3(c_3(c_0(c_2(c_3(c_0(c_0(c_0(c_2(c_0(c_1(c_3(c_0(c_0(c_1(c_3(c_0(c_2(c_0(c_1(c_3(c_1(c_1(c_3(c_1(x11587))))))))))))))))))))))))))))))))))) -> 3'(0'(0'(3'(0'(2'(3'(1'(1'(3'(3'(2'(2'(0'(3'(0'(2'(0'(2'(0'(1'(3'(1'(1'(2'(1'(0'(0'(3'(3'(0'(0'(1'(3'(1'(x11587))))))))))))))))))))))))))))))))))) [2]
   2'(c_3(c_2(c_1(c_2(c_0(c_3(c_0(c_1(c_3(c_3(c_3(c_0(c_2(c_3(c_0(c_0(c_0(x1)))))))))))))))))) -> 3'(0'(0'(3'(0'(2'(3'(1'(1'(3'(3'(2'(2'(0'(3'(0'(2'(c_0(x1)))))))))))))))))) [1]
   2'(c_3(c_2(c_1(c_2(c_0(c_3(c_0(c_1(c_3(c_3(c_3(c_0(c_2(c_3(c_0(c_0(c_0(x1)))))))))))))))))) -> 3'(0'(0'(3'(0'(2'(3'(1'(1'(3'(3'(2'(2'(0'(3'(0'(2'(const))))))))))))))))) [1]
   3'(c_0(c_3(c_0(c_1(c_3(c_0(c_2(c_0(c_1(c_1(c_0(c_1(c_0(c_2(c_3(c_0(c_3(x1)))))))))))))))))) -> 3'(0'(0'(2'(1'(1'(0'(1'(0'(3'(2'(1'(0'(0'(3'(3'(0'(3'(x1)))))))))))))))))) [1]
   3'(c_2(c_0(c_2(c_2(c_0(c_0(c_2(c_3(c_0(c_2(c_3(c_0(c_1(c_2(c_2(c_0(c_2(x1)))))))))))))))))) -> 2'(0'(3'(2'(2'(2'(0'(3'(2'(0'(2'(1'(3'(2'(0'(0'(0'(2'(x1)))))))))))))))))) [1]
   3'(c_2(c_3(c_2(c_1(c_3(c_0(c_1(c_2(c_1(c_2(c_2(c_1(c_0(c_1(c_1(c_0(c_0(x1)))))))))))))))))) -> 3'(2'(2'(0'(1'(1'(1'(1'(1'(0'(0'(0'(3'(2'(2'(1'(3'(2'(x1)))))))))))))))))) [1]
   3'(c_2(c_3(c_1(c_1(c_1(c_3(c_2(c_2(c_1(c_2(c_1(c_0(c_0(c_3(c_1(c_3(c_3(x1)))))))))))))))))) -> 3'(2'(3'(2'(0'(3'(1'(1'(2'(3'(2'(0'(1'(3'(1'(1'(1'(3'(x1)))))))))))))))))) [1]
   encArg(cons_0(cons_0(x_1'))) -> 0'(0'(encArg(x_1'))) [0]
   encArg(cons_0(cons_1(x_1''))) -> 0'(1'(encArg(x_1''))) [0]
   encArg(cons_0(cons_2(x_11))) -> 0'(2'(encArg(x_11))) [0]
   encArg(cons_0(cons_3(x_12))) -> 0'(3'(encArg(x_12))) [0]
   encArg(cons_0(x_1)) -> 0'(const) [0]
   encArg(cons_1(cons_0(x_13))) -> 1'(0'(encArg(x_13))) [0]
   encArg(cons_1(cons_1(x_14))) -> 1'(1'(encArg(x_14))) [0]
   encArg(cons_1(cons_2(x_15))) -> 1'(2'(encArg(x_15))) [0]
   encArg(cons_1(cons_3(x_16))) -> 1'(3'(encArg(x_16))) [0]
   encArg(cons_1(x_1)) -> 1'(const) [0]
   encArg(cons_2(cons_0(x_17))) -> 2'(0'(encArg(x_17))) [0]
   encArg(cons_2(cons_1(x_18))) -> 2'(1'(encArg(x_18))) [0]
   encArg(cons_2(cons_2(x_19))) -> 2'(2'(encArg(x_19))) [0]
   encArg(cons_2(cons_3(x_110))) -> 2'(3'(encArg(x_110))) [0]
   encArg(cons_2(x_1)) -> 2'(const) [0]
   encArg(cons_3(cons_0(x_111))) -> 3'(0'(encArg(x_111))) [0]
   encArg(cons_3(cons_1(x_112))) -> 3'(1'(encArg(x_112))) [0]
   encArg(cons_3(cons_2(x_113))) -> 3'(2'(encArg(x_113))) [0]
   encArg(cons_3(cons_3(x_114))) -> 3'(3'(encArg(x_114))) [0]
   encArg(cons_3(x_1)) -> 3'(const) [0]
   encode_0(cons_0(x_115)) -> 0'(0'(encArg(x_115))) [0]
   encode_0(cons_1(x_116)) -> 0'(1'(encArg(x_116))) [0]
   encode_0(cons_2(x_117)) -> 0'(2'(encArg(x_117))) [0]
   encode_0(cons_3(x_118)) -> 0'(3'(encArg(x_118))) [0]
   encode_0(x_1) -> 0'(const) [0]
   encode_1(cons_0(x_119)) -> 1'(0'(encArg(x_119))) [0]
   encode_1(cons_1(x_120)) -> 1'(1'(encArg(x_120))) [0]
   encode_1(cons_2(x_121)) -> 1'(2'(encArg(x_121))) [0]
   encode_1(cons_3(x_122)) -> 1'(3'(encArg(x_122))) [0]
   encode_1(x_1) -> 1'(const) [0]
   encode_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:
0' :: c_0:c_2:c_3:c_1:const -> c_0:c_2:c_3:c_1:const
c_3 :: c_0:c_2:c_3:c_1:const -> c_0:c_2:c_3:c_1:const
c_0 :: c_0:c_2:c_3:c_1:const -> c_0:c_2:c_3:c_1:const
c_2 :: c_0:c_2:c_3:c_1:const -> c_0:c_2:c_3:c_1:const
c_1 :: c_0:c_2:c_3:c_1:const -> c_0:c_2:c_3:c_1:const
2' :: c_0:c_2:c_3:c_1:const -> c_0:c_2:c_3:c_1:const
3' :: c_0:c_2:c_3:c_1:const -> c_0:c_2:c_3:c_1:const
1' :: c_0:c_2:c_3:c_1:const -> c_0:c_2:c_3:c_1:const
encArg :: cons_0:cons_1:cons_2:cons_3 -> c_0:c_2:c_3:c_1:const
cons_0 :: cons_0:cons_1:cons_2:cons_3 -> cons_0:cons_1:cons_2:cons_3
cons_1 :: cons_0:cons_1:cons_2:cons_3 -> cons_0:cons_1:cons_2:cons_3
cons_2 :: cons_0:cons_1:cons_2:cons_3 -> cons_0:cons_1:cons_2:cons_3
cons_3 :: cons_0:cons_1:cons_2:cons_3 -> cons_0:cons_1:cons_2:cons_3
encode_0 :: cons_0:cons_1:cons_2:cons_3 -> c_0:c_2:c_3:c_1:const
encode_1 :: cons_0:cons_1:cons_2:cons_3 -> c_0:c_2:c_3:c_1:const
encode_3 :: cons_0:cons_1:cons_2:cons_3 -> c_0:c_2:c_3:c_1:const
encode_2 :: cons_0:cons_1:cons_2:cons_3 -> c_0:c_2:c_3:c_1:const
const :: c_0:c_2:c_3:c_1: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 }-> 2'(1'(1'(1'(1'(0'(3'(1'(1'(1'(2'(0'(3'(1'(0'(2'(2'(2'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   0'(z) -{ 1 }-> 0'(3'(2'(2'(0'(2'(2'(2'(2'(0'(3'(0'(1'(0'(1'(1'(0'(3'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   0'(z) -{ 1 }-> 0'(3'(2'(0'(0'(1'(2'(1'(0'(2'(1'(1'(3'(1'(0'(0'(2'(3'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   0'(z) -{ 1 }-> 0'(2'(3'(3'(1'(2'(1'(1'(1'(0'(2'(3'(1'(0'(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
   0'(z) -{ 2 }-> 0'(2'(2'(0'(3'(3'(1'(0'(0'(3'(0'(2'(1'(1'(0'(1'(2'(2'(1'(1'(1'(1'(0'(3'(1'(1'(1'(2'(0'(3'(1'(0'(2'(2'(2'(x1995))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1995))))))))))))))))))))))))))))))))), x1995 >= 0
   0'(z) -{ 2 }-> 0'(2'(2'(0'(3'(3'(1'(0'(0'(3'(0'(2'(1'(1'(0'(1'(2'(0'(3'(2'(2'(0'(2'(2'(2'(2'(0'(3'(0'(1'(0'(1'(1'(0'(3'(x11001))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11001))))))))))))))))))))))))))))))))), x11001 >= 0
   0'(z) -{ 2 }-> 0'(2'(2'(0'(3'(3'(1'(0'(0'(3'(0'(2'(1'(1'(0'(1'(2'(0'(3'(2'(0'(0'(1'(2'(1'(0'(2'(1'(1'(3'(1'(0'(0'(2'(3'(x1998))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1998))))))))))))))))))))))))))))))))), x1998 >= 0
   0'(z) -{ 2 }-> 0'(2'(2'(0'(3'(3'(1'(0'(0'(3'(0'(2'(1'(1'(0'(1'(2'(0'(2'(3'(3'(1'(2'(1'(1'(1'(0'(2'(3'(1'(0'(2'(0'(3'(3'(x11002))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11002))))))))))))))))))))))))))))))))), x11002 >= 0
   0'(z) -{ 2 }-> 0'(2'(2'(0'(3'(3'(1'(0'(0'(3'(0'(2'(1'(1'(0'(1'(2'(0'(2'(2'(0'(3'(3'(1'(0'(0'(3'(0'(2'(1'(1'(0'(1'(2'(0'(x11000))))))))))))))))))))))))))))))))))) :|: x11000 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11000)))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 0'(2'(2'(0'(3'(3'(1'(0'(0'(3'(0'(2'(1'(1'(0'(1'(2'(0'(2'(2'(0'(0'(3'(0'(2'(3'(1'(0'(3'(1'(0'(3'(2'(3'(1'(x1996))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1996))))))))))))))))))))))))))))))))), x1996 >= 0
   0'(z) -{ 2 }-> 0'(2'(2'(0'(3'(3'(1'(0'(0'(3'(0'(2'(1'(1'(0'(1'(2'(0'(2'(0'(1'(3'(1'(1'(2'(1'(0'(0'(3'(3'(0'(0'(1'(3'(1'(x11003))))))))))))))))))))))))))))))))))) :|: x11003 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11003)))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 0'(2'(2'(0'(3'(3'(1'(0'(0'(3'(0'(2'(1'(1'(0'(1'(2'(0'(2'(0'(0'(0'(2'(0'(3'(0'(2'(2'(0'(1'(1'(3'(2'(2'(0'(x1993))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1993))))))))))))))))))))))))))))))))), x1993 >= 0
   0'(z) -{ 2 }-> 0'(2'(2'(0'(3'(3'(1'(0'(0'(3'(0'(2'(1'(1'(0'(1'(2'(0'(0'(3'(1'(0'(3'(0'(0'(3'(3'(0'(3'(3'(0'(0'(2'(0'(2'(x1994))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1994))))))))))))))))))))))))))))))))), x1994 >= 0
   0'(z) -{ 2 }-> 0'(2'(2'(0'(3'(3'(1'(0'(0'(3'(0'(2'(1'(1'(0'(1'(2'(0'(0'(3'(1'(0'(0'(0'(0'(2'(0'(0'(0'(3'(1'(0'(0'(0'(0'(x1999))))))))))))))))))))))))))))))))))) :|: x1999 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1999)))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 0'(2'(2'(0'(3'(3'(1'(0'(0'(3'(0'(2'(1'(1'(0'(1'(2'(0'(0'(0'(1'(1'(1'(0'(1'(3'(3'(1'(0'(3'(2'(0'(2'(3'(1'(x1997))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1997))))))))))))))))))))))))))))))))), x1997 >= 0
   0'(z) -{ 1 }-> 0'(2'(2'(0'(3'(3'(1'(0'(0'(3'(0'(2'(1'(1'(0'(1'(2'(0))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   0'(z) -{ 1 }-> 0'(2'(2'(0'(3'(3'(1'(0'(0'(3'(0'(2'(1'(1'(0'(1'(2'(1 + x1))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   0'(z) -{ 2 }-> 0'(2'(2'(0'(0'(3'(0'(2'(3'(1'(0'(3'(1'(0'(3'(2'(3'(3'(3'(0'(3'(1'(0'(3'(2'(3'(2'(2'(0'(3'(2'(1'(1'(0'(3'(x1310))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1310))))))))))))))))))))))))))))))))), x1310 >= 0
   0'(z) -{ 2 }-> 0'(2'(2'(0'(0'(3'(0'(2'(3'(1'(0'(3'(1'(0'(3'(2'(3'(3'(0'(1'(1'(1'(1'(3'(0'(3'(1'(1'(0'(3'(0'(2'(3'(3'(3'(x1305))))))))))))))))))))))))))))))))))) :|: x1305 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1305)))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 0'(2'(2'(0'(0'(3'(0'(2'(3'(1'(0'(3'(1'(0'(3'(2'(3'(2'(3'(2'(1'(1'(2'(2'(1'(3'(1'(0'(2'(1'(1'(1'(0'(3'(3'(x1306))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1306))))))))))))))))))))))))))))))))), x1306 >= 0
   0'(z) -{ 2 }-> 0'(2'(2'(0'(0'(3'(0'(2'(3'(1'(0'(3'(1'(0'(3'(2'(3'(2'(3'(1'(0'(3'(1'(0'(2'(3'(3'(2'(2'(0'(0'(3'(1'(2'(2'(x1307))))))))))))))))))))))))))))))))))) :|: x1307 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1307)))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 0'(2'(2'(0'(0'(3'(0'(2'(3'(1'(0'(3'(1'(0'(3'(2'(3'(1'(3'(2'(0'(1'(0'(2'(2'(2'(2'(2'(1'(0'(3'(3'(3'(2'(3'(x1309))))))))))))))))))))))))))))))))))) :|: x1309 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1309)))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 0'(2'(2'(0'(0'(3'(0'(2'(3'(1'(0'(3'(1'(0'(3'(2'(3'(1'(3'(1'(3'(0'(1'(1'(3'(2'(3'(2'(2'(0'(3'(1'(1'(1'(1'(x1298))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1298))))))))))))))))))))))))))))))))), x1298 >= 0
   0'(z) -{ 2 }-> 0'(2'(2'(0'(0'(3'(0'(2'(3'(1'(0'(3'(1'(0'(3'(2'(3'(1'(3'(1'(1'(0'(3'(3'(0'(2'(0'(1'(3'(0'(3'(2'(3'(2'(2'(x1304))))))))))))))))))))))))))))))))))) :|: x1304 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1304)))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 0'(2'(2'(0'(0'(3'(0'(2'(3'(1'(0'(3'(1'(0'(3'(2'(3'(1'(2'(2'(0'(1'(1'(1'(1'(0'(0'(3'(2'(1'(0'(2'(3'(1'(1'(x1299))))))))))))))))))))))))))))))))))) :|: x1299 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1299)))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 0'(2'(2'(0'(0'(3'(0'(2'(3'(1'(0'(3'(1'(0'(3'(2'(3'(1'(1'(2'(3'(3'(0'(0'(3'(3'(1'(1'(1'(1'(1'(0'(2'(2'(1'(x1301))))))))))))))))))))))))))))))))))) :|: x1301 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1301)))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 0'(2'(2'(0'(0'(3'(0'(2'(3'(1'(0'(3'(1'(0'(3'(2'(3'(1'(0'(3'(3'(1'(0'(2'(0'(3'(1'(0'(3'(2'(1'(2'(2'(1'(0'(x1300))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1300))))))))))))))))))))))))))))))))), x1300 >= 0
   0'(z) -{ 2 }-> 0'(2'(2'(0'(0'(3'(0'(2'(3'(1'(0'(3'(1'(0'(3'(2'(3'(1'(0'(3'(3'(0'(3'(3'(1'(0'(2'(3'(1'(1'(3'(2'(3'(2'(3'(x1302))))))))))))))))))))))))))))))))))) :|: x1302 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1302)))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 0'(2'(2'(0'(0'(3'(0'(2'(3'(1'(0'(3'(1'(0'(3'(2'(3'(1'(0'(3'(1'(1'(2'(2'(3'(2'(3'(1'(1'(3'(1'(1'(0'(3'(3'(x1308))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1308))))))))))))))))))))))))))))))))), x1308 >= 0
   0'(z) -{ 2 }-> 0'(2'(2'(0'(0'(3'(0'(2'(3'(1'(0'(3'(1'(0'(3'(2'(3'(1'(0'(3'(0'(0'(3'(3'(0'(0'(2'(1'(0'(3'(1'(2'(3'(1'(1'(x1297))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1297))))))))))))))))))))))))))))))))), x1297 >= 0
   0'(z) -{ 2 }-> 0'(2'(2'(0'(0'(3'(0'(2'(3'(1'(0'(3'(1'(0'(3'(2'(3'(1'(0'(1'(0'(3'(1'(3'(1'(0'(1'(1'(3'(2'(3'(0'(2'(1'(1'(x1303))))))))))))))))))))))))))))))))))) :|: x1303 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1303)))))))))))))))))))))))))))))))))
   0'(z) -{ 1 }-> 0'(2'(2'(0'(0'(3'(0'(2'(3'(1'(0'(3'(1'(0'(3'(2'(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'(2'(2'(0'(0'(3'(0'(2'(3'(1'(0'(3'(1'(0'(3'(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
   0'(z) -{ 2 }-> 0'(2'(0'(1'(3'(1'(1'(2'(1'(0'(0'(3'(3'(0'(0'(1'(3'(3'(3'(0'(3'(1'(0'(3'(2'(3'(2'(2'(0'(3'(2'(1'(1'(0'(3'(x11542))))))))))))))))))))))))))))))))))) :|: x11542 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11542)))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 0'(2'(0'(1'(3'(1'(1'(2'(1'(0'(0'(3'(3'(0'(0'(1'(3'(3'(0'(1'(1'(1'(1'(3'(0'(3'(1'(1'(0'(3'(0'(2'(3'(3'(3'(x11537))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11537))))))))))))))))))))))))))))))))), x11537 >= 0
   0'(z) -{ 2 }-> 0'(2'(0'(1'(3'(1'(1'(2'(1'(0'(0'(3'(3'(0'(0'(1'(3'(2'(3'(2'(1'(1'(2'(2'(1'(3'(1'(0'(2'(1'(1'(1'(0'(3'(3'(x11538))))))))))))))))))))))))))))))))))) :|: x11538 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11538)))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 0'(2'(0'(1'(3'(1'(1'(2'(1'(0'(0'(3'(3'(0'(0'(1'(3'(2'(3'(1'(0'(3'(1'(0'(2'(3'(3'(2'(2'(0'(0'(3'(1'(2'(2'(x11539))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11539))))))))))))))))))))))))))))))))), x11539 >= 0
   0'(z) -{ 2 }-> 0'(2'(0'(1'(3'(1'(1'(2'(1'(0'(0'(3'(3'(0'(0'(1'(3'(1'(3'(2'(0'(1'(0'(2'(2'(2'(2'(2'(1'(0'(3'(3'(3'(2'(3'(x11541))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11541))))))))))))))))))))))))))))))))), x11541 >= 0
   0'(z) -{ 2 }-> 0'(2'(0'(1'(3'(1'(1'(2'(1'(0'(0'(3'(3'(0'(0'(1'(3'(1'(3'(1'(3'(0'(1'(1'(3'(2'(3'(2'(2'(0'(3'(1'(1'(1'(1'(x11530))))))))))))))))))))))))))))))))))) :|: x11530 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11530)))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 0'(2'(0'(1'(3'(1'(1'(2'(1'(0'(0'(3'(3'(0'(0'(1'(3'(1'(3'(1'(1'(0'(3'(3'(0'(2'(0'(1'(3'(0'(3'(2'(3'(2'(2'(x11536))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11536))))))))))))))))))))))))))))))))), x11536 >= 0
   0'(z) -{ 2 }-> 0'(2'(0'(1'(3'(1'(1'(2'(1'(0'(0'(3'(3'(0'(0'(1'(3'(1'(2'(2'(0'(1'(1'(1'(1'(0'(0'(3'(2'(1'(0'(2'(3'(1'(1'(x11531))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11531))))))))))))))))))))))))))))))))), x11531 >= 0
   0'(z) -{ 2 }-> 0'(2'(0'(1'(3'(1'(1'(2'(1'(0'(0'(3'(3'(0'(0'(1'(3'(1'(1'(2'(3'(3'(0'(0'(3'(3'(1'(1'(1'(1'(1'(0'(2'(2'(1'(x11533))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11533))))))))))))))))))))))))))))))))), x11533 >= 0
   0'(z) -{ 2 }-> 0'(2'(0'(1'(3'(1'(1'(2'(1'(0'(0'(3'(3'(0'(0'(1'(3'(1'(0'(3'(3'(1'(0'(2'(0'(3'(1'(0'(3'(2'(1'(2'(2'(1'(0'(x11532))))))))))))))))))))))))))))))))))) :|: x11532 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11532)))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 0'(2'(0'(1'(3'(1'(1'(2'(1'(0'(0'(3'(3'(0'(0'(1'(3'(1'(0'(3'(3'(0'(3'(3'(1'(0'(2'(3'(1'(1'(3'(2'(3'(2'(3'(x11534))))))))))))))))))))))))))))))))))) :|: x11534 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11534)))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 0'(2'(0'(1'(3'(1'(1'(2'(1'(0'(0'(3'(3'(0'(0'(1'(3'(1'(0'(3'(1'(1'(2'(2'(3'(2'(3'(1'(1'(3'(1'(1'(0'(3'(3'(x11540))))))))))))))))))))))))))))))))))) :|: x11540 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11540)))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 0'(2'(0'(1'(3'(1'(1'(2'(1'(0'(0'(3'(3'(0'(0'(1'(3'(1'(0'(3'(0'(0'(3'(3'(0'(0'(2'(1'(0'(3'(1'(2'(3'(1'(1'(x11529))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11529))))))))))))))))))))))))))))))))), x11529 >= 0
   0'(z) -{ 2 }-> 0'(2'(0'(1'(3'(1'(1'(2'(1'(0'(0'(3'(3'(0'(0'(1'(3'(1'(0'(1'(0'(3'(1'(3'(1'(0'(1'(1'(3'(2'(3'(0'(2'(1'(1'(x11535))))))))))))))))))))))))))))))))))) :|: x11535 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11535)))))))))))))))))))))))))))))))))
   0'(z) -{ 1 }-> 0'(2'(0'(1'(3'(1'(1'(2'(1'(0'(0'(3'(3'(0'(0'(1'(3'(0))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   0'(z) -{ 1 }-> 0'(2'(0'(1'(3'(1'(1'(2'(1'(0'(0'(3'(3'(0'(0'(1'(3'(1 + x1))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   0'(z) -{ 2 }-> 0'(2'(0'(0'(0'(2'(0'(3'(0'(2'(2'(0'(1'(1'(3'(2'(2'(2'(1'(1'(1'(1'(0'(3'(1'(1'(1'(2'(0'(3'(1'(0'(2'(2'(2'(x11))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11))))))))))))))))))))))))))))))))), x11 >= 0
   0'(z) -{ 2 }-> 0'(2'(0'(0'(0'(2'(0'(3'(0'(2'(2'(0'(1'(1'(3'(2'(2'(0'(3'(2'(2'(0'(2'(2'(2'(2'(0'(3'(0'(1'(0'(1'(1'(0'(3'(x17))))))))))))))))))))))))))))))))))) :|: x17 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x17)))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 0'(2'(0'(0'(0'(2'(0'(3'(0'(2'(2'(0'(1'(1'(3'(2'(2'(0'(3'(2'(0'(0'(1'(2'(1'(0'(2'(1'(1'(3'(1'(0'(0'(2'(3'(x14))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x14))))))))))))))))))))))))))))))))), x14 >= 0
   0'(z) -{ 2 }-> 0'(2'(0'(0'(0'(2'(0'(3'(0'(2'(2'(0'(1'(1'(3'(2'(2'(0'(2'(3'(3'(1'(2'(1'(1'(1'(0'(2'(3'(1'(0'(2'(0'(3'(3'(x18))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x18))))))))))))))))))))))))))))))))), x18 >= 0
   0'(z) -{ 2 }-> 0'(2'(0'(0'(0'(2'(0'(3'(0'(2'(2'(0'(1'(1'(3'(2'(2'(0'(2'(2'(0'(3'(3'(1'(0'(0'(3'(0'(2'(1'(1'(0'(1'(2'(0'(x16))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x16))))))))))))))))))))))))))))))))), x16 >= 0
   0'(z) -{ 2 }-> 0'(2'(0'(0'(0'(2'(0'(3'(0'(2'(2'(0'(1'(1'(3'(2'(2'(0'(2'(2'(0'(0'(3'(0'(2'(3'(1'(0'(3'(1'(0'(3'(2'(3'(1'(x12))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x12))))))))))))))))))))))))))))))))), x12 >= 0
   0'(z) -{ 2 }-> 0'(2'(0'(0'(0'(2'(0'(3'(0'(2'(2'(0'(1'(1'(3'(2'(2'(0'(2'(0'(1'(3'(1'(1'(2'(1'(0'(0'(3'(3'(0'(0'(1'(3'(1'(x19))))))))))))))))))))))))))))))))))) :|: x19 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x19)))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 0'(2'(0'(0'(0'(2'(0'(3'(0'(2'(2'(0'(1'(1'(3'(2'(2'(0'(2'(0'(0'(0'(2'(0'(3'(0'(2'(2'(0'(1'(1'(3'(2'(2'(0'(x1'))))))))))))))))))))))))))))))))))) :|: x1' >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1')))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 0'(2'(0'(0'(0'(2'(0'(3'(0'(2'(2'(0'(1'(1'(3'(2'(2'(0'(0'(3'(1'(0'(3'(0'(0'(3'(3'(0'(3'(3'(0'(0'(2'(0'(2'(x1''))))))))))))))))))))))))))))))))))) :|: x1'' >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1'')))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 0'(2'(0'(0'(0'(2'(0'(3'(0'(2'(2'(0'(1'(1'(3'(2'(2'(0'(0'(3'(1'(0'(0'(0'(0'(2'(0'(0'(0'(3'(1'(0'(0'(0'(0'(x15))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x15))))))))))))))))))))))))))))))))), x15 >= 0
   0'(z) -{ 2 }-> 0'(2'(0'(0'(0'(2'(0'(3'(0'(2'(2'(0'(1'(1'(3'(2'(2'(0'(0'(0'(1'(1'(1'(0'(1'(3'(3'(1'(0'(3'(2'(0'(2'(3'(1'(x13))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x13))))))))))))))))))))))))))))))))), x13 >= 0
   0'(z) -{ 1 }-> 0'(2'(0'(0'(0'(2'(0'(3'(0'(2'(2'(0'(1'(1'(3'(2'(2'(0))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   0'(z) -{ 1 }-> 0'(2'(0'(0'(0'(2'(0'(3'(0'(2'(2'(0'(1'(1'(3'(2'(2'(1 + x1))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   0'(z) -{ 1 }-> 0'(0'(3'(1'(0'(3'(0'(0'(3'(3'(0'(3'(3'(0'(0'(2'(0'(2'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   0'(z) -{ 2 }-> 0'(0'(3'(1'(0'(0'(0'(0'(2'(0'(0'(0'(3'(1'(0'(0'(0'(2'(1'(1'(1'(1'(0'(3'(1'(1'(1'(2'(0'(3'(1'(0'(2'(2'(2'(x1875))))))))))))))))))))))))))))))))))) :|: x1875 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1875)))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 0'(0'(3'(1'(0'(0'(0'(0'(2'(0'(0'(0'(3'(1'(0'(0'(0'(0'(3'(2'(2'(0'(2'(2'(2'(2'(0'(3'(0'(1'(0'(1'(1'(0'(3'(x1881))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1881))))))))))))))))))))))))))))))))), x1881 >= 0
   0'(z) -{ 2 }-> 0'(0'(3'(1'(0'(0'(0'(0'(2'(0'(0'(0'(3'(1'(0'(0'(0'(0'(3'(2'(0'(0'(1'(2'(1'(0'(2'(1'(1'(3'(1'(0'(0'(2'(3'(x1878))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1878))))))))))))))))))))))))))))))))), x1878 >= 0
   0'(z) -{ 2 }-> 0'(0'(3'(1'(0'(0'(0'(0'(2'(0'(0'(0'(3'(1'(0'(0'(0'(0'(2'(3'(3'(1'(2'(1'(1'(1'(0'(2'(3'(1'(0'(2'(0'(3'(3'(x1882))))))))))))))))))))))))))))))))))) :|: x1882 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1882)))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 0'(0'(3'(1'(0'(0'(0'(0'(2'(0'(0'(0'(3'(1'(0'(0'(0'(0'(2'(2'(0'(3'(3'(1'(0'(0'(3'(0'(2'(1'(1'(0'(1'(2'(0'(x1880))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1880))))))))))))))))))))))))))))))))), x1880 >= 0
   0'(z) -{ 2 }-> 0'(0'(3'(1'(0'(0'(0'(0'(2'(0'(0'(0'(3'(1'(0'(0'(0'(0'(2'(2'(0'(0'(3'(0'(2'(3'(1'(0'(3'(1'(0'(3'(2'(3'(1'(x1876))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1876))))))))))))))))))))))))))))))))), x1876 >= 0
   0'(z) -{ 2 }-> 0'(0'(3'(1'(0'(0'(0'(0'(2'(0'(0'(0'(3'(1'(0'(0'(0'(0'(2'(0'(1'(3'(1'(1'(2'(1'(0'(0'(3'(3'(0'(0'(1'(3'(1'(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'(0'(3'(1'(0'(0'(0'(0'(2'(0'(0'(0'(3'(1'(0'(0'(0'(0'(2'(0'(0'(0'(2'(0'(3'(0'(2'(2'(0'(1'(1'(3'(2'(2'(0'(x1873))))))))))))))))))))))))))))))))))) :|: x1873 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1873)))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 0'(0'(3'(1'(0'(0'(0'(0'(2'(0'(0'(0'(3'(1'(0'(0'(0'(0'(0'(3'(1'(0'(3'(0'(0'(3'(3'(0'(3'(3'(0'(0'(2'(0'(2'(x1874))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1874))))))))))))))))))))))))))))))))), x1874 >= 0
   0'(z) -{ 2 }-> 0'(0'(3'(1'(0'(0'(0'(0'(2'(0'(0'(0'(3'(1'(0'(0'(0'(0'(0'(3'(1'(0'(0'(0'(0'(2'(0'(0'(0'(3'(1'(0'(0'(0'(0'(x1879))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1879))))))))))))))))))))))))))))))))), x1879 >= 0
   0'(z) -{ 2 }-> 0'(0'(3'(1'(0'(0'(0'(0'(2'(0'(0'(0'(3'(1'(0'(0'(0'(0'(0'(0'(1'(1'(1'(0'(1'(3'(3'(1'(0'(3'(2'(0'(2'(3'(1'(x1877))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1877))))))))))))))))))))))))))))))))), x1877 >= 0
   0'(z) -{ 1 }-> 0'(0'(3'(1'(0'(0'(0'(0'(2'(0'(0'(0'(3'(1'(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'(0'(3'(1'(0'(0'(0'(0'(2'(0'(0'(0'(3'(1'(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) -{ 2 }-> 0'(0'(0'(1'(1'(1'(0'(1'(3'(3'(1'(0'(3'(2'(0'(2'(3'(3'(3'(0'(3'(1'(0'(3'(2'(3'(2'(2'(0'(3'(2'(1'(1'(0'(3'(x1425))))))))))))))))))))))))))))))))))) :|: x1425 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1425)))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 0'(0'(0'(1'(1'(1'(0'(1'(3'(3'(1'(0'(3'(2'(0'(2'(3'(3'(0'(1'(1'(1'(1'(3'(0'(3'(1'(1'(0'(3'(0'(2'(3'(3'(3'(x1420))))))))))))))))))))))))))))))))))) :|: x1420 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1420)))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 0'(0'(0'(1'(1'(1'(0'(1'(3'(3'(1'(0'(3'(2'(0'(2'(3'(2'(3'(2'(1'(1'(2'(2'(1'(3'(1'(0'(2'(1'(1'(1'(0'(3'(3'(x1421))))))))))))))))))))))))))))))))))) :|: x1421 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1421)))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 0'(0'(0'(1'(1'(1'(0'(1'(3'(3'(1'(0'(3'(2'(0'(2'(3'(2'(3'(1'(0'(3'(1'(0'(2'(3'(3'(2'(2'(0'(0'(3'(1'(2'(2'(x1422))))))))))))))))))))))))))))))))))) :|: x1422 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1422)))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 0'(0'(0'(1'(1'(1'(0'(1'(3'(3'(1'(0'(3'(2'(0'(2'(3'(1'(3'(2'(0'(1'(0'(2'(2'(2'(2'(2'(1'(0'(3'(3'(3'(2'(3'(x1424))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1424))))))))))))))))))))))))))))))))), x1424 >= 0
   0'(z) -{ 2 }-> 0'(0'(0'(1'(1'(1'(0'(1'(3'(3'(1'(0'(3'(2'(0'(2'(3'(1'(3'(1'(3'(0'(1'(1'(3'(2'(3'(2'(2'(0'(3'(1'(1'(1'(1'(x1413))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1413))))))))))))))))))))))))))))))))), x1413 >= 0
   0'(z) -{ 2 }-> 0'(0'(0'(1'(1'(1'(0'(1'(3'(3'(1'(0'(3'(2'(0'(2'(3'(1'(3'(1'(1'(0'(3'(3'(0'(2'(0'(1'(3'(0'(3'(2'(3'(2'(2'(x1419))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1419))))))))))))))))))))))))))))))))), x1419 >= 0
   0'(z) -{ 2 }-> 0'(0'(0'(1'(1'(1'(0'(1'(3'(3'(1'(0'(3'(2'(0'(2'(3'(1'(2'(2'(0'(1'(1'(1'(1'(0'(0'(3'(2'(1'(0'(2'(3'(1'(1'(x1414))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1414))))))))))))))))))))))))))))))))), x1414 >= 0
   0'(z) -{ 2 }-> 0'(0'(0'(1'(1'(1'(0'(1'(3'(3'(1'(0'(3'(2'(0'(2'(3'(1'(1'(2'(3'(3'(0'(0'(3'(3'(1'(1'(1'(1'(1'(0'(2'(2'(1'(x1416))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1416))))))))))))))))))))))))))))))))), x1416 >= 0
   0'(z) -{ 2 }-> 0'(0'(0'(1'(1'(1'(0'(1'(3'(3'(1'(0'(3'(2'(0'(2'(3'(1'(0'(3'(3'(1'(0'(2'(0'(3'(1'(0'(3'(2'(1'(2'(2'(1'(0'(x1415))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1415))))))))))))))))))))))))))))))))), x1415 >= 0
   0'(z) -{ 2 }-> 0'(0'(0'(1'(1'(1'(0'(1'(3'(3'(1'(0'(3'(2'(0'(2'(3'(1'(0'(3'(3'(0'(3'(3'(1'(0'(2'(3'(1'(1'(3'(2'(3'(2'(3'(x1417))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1417))))))))))))))))))))))))))))))))), x1417 >= 0
   0'(z) -{ 2 }-> 0'(0'(0'(1'(1'(1'(0'(1'(3'(3'(1'(0'(3'(2'(0'(2'(3'(1'(0'(3'(1'(1'(2'(2'(3'(2'(3'(1'(1'(3'(1'(1'(0'(3'(3'(x1423))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1423))))))))))))))))))))))))))))))))), x1423 >= 0
   0'(z) -{ 2 }-> 0'(0'(0'(1'(1'(1'(0'(1'(3'(3'(1'(0'(3'(2'(0'(2'(3'(1'(0'(3'(0'(0'(3'(3'(0'(0'(2'(1'(0'(3'(1'(2'(3'(1'(1'(x1412))))))))))))))))))))))))))))))))))) :|: x1412 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1412)))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 0'(0'(0'(1'(1'(1'(0'(1'(3'(3'(1'(0'(3'(2'(0'(2'(3'(1'(0'(1'(0'(3'(1'(3'(1'(0'(1'(1'(3'(2'(3'(0'(2'(1'(1'(x1418))))))))))))))))))))))))))))))))))) :|: x1418 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1418)))))))))))))))))))))))))))))))))
   0'(z) -{ 1 }-> 0'(0'(0'(1'(1'(1'(0'(1'(3'(3'(1'(0'(3'(2'(0'(2'(3'(0))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   0'(z) -{ 1 }-> 0'(0'(0'(1'(1'(1'(0'(1'(3'(3'(1'(0'(3'(2'(0'(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
   0'(z) -{ 0 }-> 0 :|: v0 >= 0, z = v0
   0'(z) -{ 0 }-> 1 + x0 :|: z = x0, x0 >= 0
   1'(z) -{ 1 }-> 3'(3'(0'(3'(1'(0'(3'(2'(3'(2'(2'(0'(3'(2'(1'(1'(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 }-> 3'(0'(1'(1'(1'(1'(3'(0'(3'(1'(1'(0'(3'(0'(2'(3'(3'(3'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   1'(z) -{ 1 }-> 2'(3'(2'(1'(1'(2'(2'(1'(3'(1'(0'(2'(1'(1'(1'(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 }-> 2'(3'(1'(0'(3'(1'(0'(2'(3'(3'(2'(2'(0'(0'(3'(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
   1'(z) -{ 1 }-> 1'(3'(2'(0'(1'(0'(2'(2'(2'(2'(2'(1'(0'(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
   1'(z) -{ 2 }-> 1'(3'(1'(3'(0'(1'(1'(3'(2'(3'(2'(2'(0'(3'(1'(1'(1'(3'(3'(0'(3'(1'(0'(3'(2'(3'(2'(2'(0'(3'(2'(1'(1'(0'(3'(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)))))))))))))))))))))))))))))))))
   1'(z) -{ 2 }-> 1'(3'(1'(3'(0'(1'(1'(3'(2'(3'(2'(2'(0'(3'(1'(1'(1'(3'(0'(1'(1'(1'(1'(3'(0'(3'(1'(1'(0'(3'(0'(2'(3'(3'(3'(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
   1'(z) -{ 2 }-> 1'(3'(1'(3'(0'(1'(1'(3'(2'(3'(2'(2'(0'(3'(1'(1'(1'(2'(3'(2'(1'(1'(2'(2'(1'(3'(1'(0'(2'(1'(1'(1'(0'(3'(3'(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)))))))))))))))))))))))))))))))))
   1'(z) -{ 2 }-> 1'(3'(1'(3'(0'(1'(1'(3'(2'(3'(2'(2'(0'(3'(1'(1'(1'(2'(3'(1'(0'(3'(1'(0'(2'(3'(3'(2'(2'(0'(0'(3'(1'(2'(2'(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
   1'(z) -{ 2 }-> 1'(3'(1'(3'(0'(1'(1'(3'(2'(3'(2'(2'(0'(3'(1'(1'(1'(1'(3'(2'(0'(1'(0'(2'(2'(2'(2'(2'(1'(0'(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
   1'(z) -{ 2 }-> 1'(3'(1'(3'(0'(1'(1'(3'(2'(3'(2'(2'(0'(3'(1'(1'(1'(1'(3'(1'(3'(0'(1'(1'(3'(2'(3'(2'(2'(0'(3'(1'(1'(1'(1'(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)))))))))))))))))))))))))))))))))
   1'(z) -{ 2 }-> 1'(3'(1'(3'(0'(1'(1'(3'(2'(3'(2'(2'(0'(3'(1'(1'(1'(1'(3'(1'(1'(0'(3'(3'(0'(2'(0'(1'(3'(0'(3'(2'(3'(2'(2'(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)))))))))))))))))))))))))))))))))
   1'(z) -{ 2 }-> 1'(3'(1'(3'(0'(1'(1'(3'(2'(3'(2'(2'(0'(3'(1'(1'(1'(1'(2'(2'(0'(1'(1'(1'(1'(0'(0'(3'(2'(1'(0'(2'(3'(1'(1'(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
   1'(z) -{ 2 }-> 1'(3'(1'(3'(0'(1'(1'(3'(2'(3'(2'(2'(0'(3'(1'(1'(1'(1'(1'(2'(3'(3'(0'(0'(3'(3'(1'(1'(1'(1'(1'(0'(2'(2'(1'(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)))))))))))))))))))))))))))))))))
   1'(z) -{ 2 }-> 1'(3'(1'(3'(0'(1'(1'(3'(2'(3'(2'(2'(0'(3'(1'(1'(1'(1'(0'(3'(3'(1'(0'(2'(0'(3'(1'(0'(3'(2'(1'(2'(2'(1'(0'(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)))))))))))))))))))))))))))))))))
   1'(z) -{ 2 }-> 1'(3'(1'(3'(0'(1'(1'(3'(2'(3'(2'(2'(0'(3'(1'(1'(1'(1'(0'(3'(3'(0'(3'(3'(1'(0'(2'(3'(1'(1'(3'(2'(3'(2'(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)))))))))))))))))))))))))))))))))
   1'(z) -{ 2 }-> 1'(3'(1'(3'(0'(1'(1'(3'(2'(3'(2'(2'(0'(3'(1'(1'(1'(1'(0'(3'(1'(1'(2'(2'(3'(2'(3'(1'(1'(3'(1'(1'(0'(3'(3'(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
   1'(z) -{ 2 }-> 1'(3'(1'(3'(0'(1'(1'(3'(2'(3'(2'(2'(0'(3'(1'(1'(1'(1'(0'(3'(0'(0'(3'(3'(0'(0'(2'(1'(0'(3'(1'(2'(3'(1'(1'(x1199))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1199))))))))))))))))))))))))))))))))), x1199 >= 0
   1'(z) -{ 2 }-> 1'(3'(1'(3'(0'(1'(1'(3'(2'(3'(2'(2'(0'(3'(1'(1'(1'(1'(0'(1'(0'(3'(1'(3'(1'(0'(1'(1'(3'(2'(3'(0'(2'(1'(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)))))))))))))))))))))))))))))))))
   1'(z) -{ 1 }-> 1'(3'(1'(3'(0'(1'(1'(3'(2'(3'(2'(2'(0'(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
   1'(z) -{ 1 }-> 1'(3'(1'(3'(0'(1'(1'(3'(2'(3'(2'(2'(0'(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
   1'(z) -{ 1 }-> 1'(3'(1'(1'(0'(3'(3'(0'(2'(0'(1'(3'(0'(3'(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
   1'(z) -{ 2 }-> 1'(2'(2'(0'(1'(1'(1'(1'(0'(0'(3'(2'(1'(0'(2'(3'(1'(3'(3'(0'(3'(1'(0'(3'(2'(3'(2'(2'(0'(3'(2'(1'(1'(0'(3'(x1356))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1356))))))))))))))))))))))))))))))))), x1356 >= 0
   1'(z) -{ 2 }-> 1'(2'(2'(0'(1'(1'(1'(1'(0'(0'(3'(2'(1'(0'(2'(3'(1'(3'(0'(1'(1'(1'(1'(3'(0'(3'(1'(1'(0'(3'(0'(2'(3'(3'(3'(x1351))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1351))))))))))))))))))))))))))))))))), x1351 >= 0
   1'(z) -{ 2 }-> 1'(2'(2'(0'(1'(1'(1'(1'(0'(0'(3'(2'(1'(0'(2'(3'(1'(2'(3'(2'(1'(1'(2'(2'(1'(3'(1'(0'(2'(1'(1'(1'(0'(3'(3'(x1352))))))))))))))))))))))))))))))))))) :|: x1352 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1352)))))))))))))))))))))))))))))))))
   1'(z) -{ 2 }-> 1'(2'(2'(0'(1'(1'(1'(1'(0'(0'(3'(2'(1'(0'(2'(3'(1'(2'(3'(1'(0'(3'(1'(0'(2'(3'(3'(2'(2'(0'(0'(3'(1'(2'(2'(x1353))))))))))))))))))))))))))))))))))) :|: x1353 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1353)))))))))))))))))))))))))))))))))
   1'(z) -{ 2 }-> 1'(2'(2'(0'(1'(1'(1'(1'(0'(0'(3'(2'(1'(0'(2'(3'(1'(1'(3'(2'(0'(1'(0'(2'(2'(2'(2'(2'(1'(0'(3'(3'(3'(2'(3'(x1355))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1355))))))))))))))))))))))))))))))))), x1355 >= 0
   1'(z) -{ 2 }-> 1'(2'(2'(0'(1'(1'(1'(1'(0'(0'(3'(2'(1'(0'(2'(3'(1'(1'(3'(1'(3'(0'(1'(1'(3'(2'(3'(2'(2'(0'(3'(1'(1'(1'(1'(x1344))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1344))))))))))))))))))))))))))))))))), x1344 >= 0
   1'(z) -{ 2 }-> 1'(2'(2'(0'(1'(1'(1'(1'(0'(0'(3'(2'(1'(0'(2'(3'(1'(1'(3'(1'(1'(0'(3'(3'(0'(2'(0'(1'(3'(0'(3'(2'(3'(2'(2'(x1350))))))))))))))))))))))))))))))))))) :|: x1350 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1350)))))))))))))))))))))))))))))))))
   1'(z) -{ 2 }-> 1'(2'(2'(0'(1'(1'(1'(1'(0'(0'(3'(2'(1'(0'(2'(3'(1'(1'(2'(2'(0'(1'(1'(1'(1'(0'(0'(3'(2'(1'(0'(2'(3'(1'(1'(x1345))))))))))))))))))))))))))))))))))) :|: x1345 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1345)))))))))))))))))))))))))))))))))
   1'(z) -{ 2 }-> 1'(2'(2'(0'(1'(1'(1'(1'(0'(0'(3'(2'(1'(0'(2'(3'(1'(1'(1'(2'(3'(3'(0'(0'(3'(3'(1'(1'(1'(1'(1'(0'(2'(2'(1'(x1347))))))))))))))))))))))))))))))))))) :|: x1347 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1347)))))))))))))))))))))))))))))))))
   1'(z) -{ 2 }-> 1'(2'(2'(0'(1'(1'(1'(1'(0'(0'(3'(2'(1'(0'(2'(3'(1'(1'(0'(3'(3'(1'(0'(2'(0'(3'(1'(0'(3'(2'(1'(2'(2'(1'(0'(x1346))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1346))))))))))))))))))))))))))))))))), x1346 >= 0
   1'(z) -{ 2 }-> 1'(2'(2'(0'(1'(1'(1'(1'(0'(0'(3'(2'(1'(0'(2'(3'(1'(1'(0'(3'(3'(0'(3'(3'(1'(0'(2'(3'(1'(1'(3'(2'(3'(2'(3'(x1348))))))))))))))))))))))))))))))))))) :|: x1348 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1348)))))))))))))))))))))))))))))))))
   1'(z) -{ 2 }-> 1'(2'(2'(0'(1'(1'(1'(1'(0'(0'(3'(2'(1'(0'(2'(3'(1'(1'(0'(3'(1'(1'(2'(2'(3'(2'(3'(1'(1'(3'(1'(1'(0'(3'(3'(x1354))))))))))))))))))))))))))))))))))) :|: x1354 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1354)))))))))))))))))))))))))))))))))
   1'(z) -{ 2 }-> 1'(2'(2'(0'(1'(1'(1'(1'(0'(0'(3'(2'(1'(0'(2'(3'(1'(1'(0'(3'(0'(0'(3'(3'(0'(0'(2'(1'(0'(3'(1'(2'(3'(1'(1'(x1343))))))))))))))))))))))))))))))))))) :|: x1343 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1343)))))))))))))))))))))))))))))))))
   1'(z) -{ 2 }-> 1'(2'(2'(0'(1'(1'(1'(1'(0'(0'(3'(2'(1'(0'(2'(3'(1'(1'(0'(1'(0'(3'(1'(3'(1'(0'(1'(1'(3'(2'(3'(0'(2'(1'(1'(x1349))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1349))))))))))))))))))))))))))))))))), x1349 >= 0
   1'(z) -{ 1 }-> 1'(2'(2'(0'(1'(1'(1'(1'(0'(0'(3'(2'(1'(0'(2'(3'(1'(0))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   1'(z) -{ 1 }-> 1'(2'(2'(0'(1'(1'(1'(1'(0'(0'(3'(2'(1'(0'(2'(3'(1'(1 + x1))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   1'(z) -{ 2 }-> 1'(1'(2'(3'(3'(0'(0'(3'(3'(1'(1'(1'(1'(1'(0'(2'(2'(3'(3'(0'(3'(1'(0'(3'(2'(3'(2'(2'(0'(3'(2'(1'(1'(0'(3'(x1473))))))))))))))))))))))))))))))))))) :|: x1473 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1473)))))))))))))))))))))))))))))))))
   1'(z) -{ 2 }-> 1'(1'(2'(3'(3'(0'(0'(3'(3'(1'(1'(1'(1'(1'(0'(2'(2'(3'(0'(1'(1'(1'(1'(3'(0'(3'(1'(1'(0'(3'(0'(2'(3'(3'(3'(x1468))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1468))))))))))))))))))))))))))))))))), x1468 >= 0
   1'(z) -{ 2 }-> 1'(1'(2'(3'(3'(0'(0'(3'(3'(1'(1'(1'(1'(1'(0'(2'(2'(2'(3'(2'(1'(1'(2'(2'(1'(3'(1'(0'(2'(1'(1'(1'(0'(3'(3'(x1469))))))))))))))))))))))))))))))))))) :|: x1469 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1469)))))))))))))))))))))))))))))))))
   1'(z) -{ 2 }-> 1'(1'(2'(3'(3'(0'(0'(3'(3'(1'(1'(1'(1'(1'(0'(2'(2'(2'(3'(1'(0'(3'(1'(0'(2'(3'(3'(2'(2'(0'(0'(3'(1'(2'(2'(x1470))))))))))))))))))))))))))))))))))) :|: x1470 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1470)))))))))))))))))))))))))))))))))
   1'(z) -{ 2 }-> 1'(1'(2'(3'(3'(0'(0'(3'(3'(1'(1'(1'(1'(1'(0'(2'(2'(1'(3'(2'(0'(1'(0'(2'(2'(2'(2'(2'(1'(0'(3'(3'(3'(2'(3'(x1472))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1472))))))))))))))))))))))))))))))))), x1472 >= 0
   1'(z) -{ 2 }-> 1'(1'(2'(3'(3'(0'(0'(3'(3'(1'(1'(1'(1'(1'(0'(2'(2'(1'(3'(1'(3'(0'(1'(1'(3'(2'(3'(2'(2'(0'(3'(1'(1'(1'(1'(x1461))))))))))))))))))))))))))))))))))) :|: x1461 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1461)))))))))))))))))))))))))))))))))
   1'(z) -{ 2 }-> 1'(1'(2'(3'(3'(0'(0'(3'(3'(1'(1'(1'(1'(1'(0'(2'(2'(1'(3'(1'(1'(0'(3'(3'(0'(2'(0'(1'(3'(0'(3'(2'(3'(2'(2'(x1467))))))))))))))))))))))))))))))))))) :|: x1467 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1467)))))))))))))))))))))))))))))))))
   1'(z) -{ 2 }-> 1'(1'(2'(3'(3'(0'(0'(3'(3'(1'(1'(1'(1'(1'(0'(2'(2'(1'(2'(2'(0'(1'(1'(1'(1'(0'(0'(3'(2'(1'(0'(2'(3'(1'(1'(x1462))))))))))))))))))))))))))))))))))) :|: x1462 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1462)))))))))))))))))))))))))))))))))
   1'(z) -{ 2 }-> 1'(1'(2'(3'(3'(0'(0'(3'(3'(1'(1'(1'(1'(1'(0'(2'(2'(1'(1'(2'(3'(3'(0'(0'(3'(3'(1'(1'(1'(1'(1'(0'(2'(2'(1'(x1464))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1464))))))))))))))))))))))))))))))))), x1464 >= 0
   1'(z) -{ 2 }-> 1'(1'(2'(3'(3'(0'(0'(3'(3'(1'(1'(1'(1'(1'(0'(2'(2'(1'(0'(3'(3'(1'(0'(2'(0'(3'(1'(0'(3'(2'(1'(2'(2'(1'(0'(x1463))))))))))))))))))))))))))))))))))) :|: x1463 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1463)))))))))))))))))))))))))))))))))
   1'(z) -{ 2 }-> 1'(1'(2'(3'(3'(0'(0'(3'(3'(1'(1'(1'(1'(1'(0'(2'(2'(1'(0'(3'(3'(0'(3'(3'(1'(0'(2'(3'(1'(1'(3'(2'(3'(2'(3'(x1465))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1465))))))))))))))))))))))))))))))))), x1465 >= 0
   1'(z) -{ 2 }-> 1'(1'(2'(3'(3'(0'(0'(3'(3'(1'(1'(1'(1'(1'(0'(2'(2'(1'(0'(3'(1'(1'(2'(2'(3'(2'(3'(1'(1'(3'(1'(1'(0'(3'(3'(x1471))))))))))))))))))))))))))))))))))) :|: x1471 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1471)))))))))))))))))))))))))))))))))
   1'(z) -{ 2 }-> 1'(1'(2'(3'(3'(0'(0'(3'(3'(1'(1'(1'(1'(1'(0'(2'(2'(1'(0'(3'(0'(0'(3'(3'(0'(0'(2'(1'(0'(3'(1'(2'(3'(1'(1'(x1460))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1460))))))))))))))))))))))))))))))))), x1460 >= 0
   1'(z) -{ 2 }-> 1'(1'(2'(3'(3'(0'(0'(3'(3'(1'(1'(1'(1'(1'(0'(2'(2'(1'(0'(1'(0'(3'(1'(3'(1'(0'(1'(1'(3'(2'(3'(0'(2'(1'(1'(x1466))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1466))))))))))))))))))))))))))))))))), x1466 >= 0
   1'(z) -{ 1 }-> 1'(1'(2'(3'(3'(0'(0'(3'(3'(1'(1'(1'(1'(1'(0'(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'(1'(2'(3'(3'(0'(0'(3'(3'(1'(1'(1'(1'(1'(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) -{ 2 }-> 1'(0'(3'(3'(1'(0'(2'(0'(3'(1'(0'(3'(2'(1'(2'(2'(1'(2'(1'(1'(1'(1'(0'(3'(1'(1'(1'(2'(0'(3'(1'(0'(2'(2'(2'(x1428))))))))))))))))))))))))))))))))))) :|: x1428 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1428)))))))))))))))))))))))))))))))))
   1'(z) -{ 2 }-> 1'(0'(3'(3'(1'(0'(2'(0'(3'(1'(0'(3'(2'(1'(2'(2'(1'(0'(3'(2'(2'(0'(2'(2'(2'(2'(0'(3'(0'(1'(0'(1'(1'(0'(3'(x1434))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1434))))))))))))))))))))))))))))))))), x1434 >= 0
   1'(z) -{ 2 }-> 1'(0'(3'(3'(1'(0'(2'(0'(3'(1'(0'(3'(2'(1'(2'(2'(1'(0'(3'(2'(0'(0'(1'(2'(1'(0'(2'(1'(1'(3'(1'(0'(0'(2'(3'(x1431))))))))))))))))))))))))))))))))))) :|: x1431 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1431)))))))))))))))))))))))))))))))))
   1'(z) -{ 2 }-> 1'(0'(3'(3'(1'(0'(2'(0'(3'(1'(0'(3'(2'(1'(2'(2'(1'(0'(2'(3'(3'(1'(2'(1'(1'(1'(0'(2'(3'(1'(0'(2'(0'(3'(3'(x1435))))))))))))))))))))))))))))))))))) :|: x1435 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1435)))))))))))))))))))))))))))))))))
   1'(z) -{ 2 }-> 1'(0'(3'(3'(1'(0'(2'(0'(3'(1'(0'(3'(2'(1'(2'(2'(1'(0'(2'(2'(0'(3'(3'(1'(0'(0'(3'(0'(2'(1'(1'(0'(1'(2'(0'(x1433))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1433))))))))))))))))))))))))))))))))), x1433 >= 0
   1'(z) -{ 2 }-> 1'(0'(3'(3'(1'(0'(2'(0'(3'(1'(0'(3'(2'(1'(2'(2'(1'(0'(2'(2'(0'(0'(3'(0'(2'(3'(1'(0'(3'(1'(0'(3'(2'(3'(1'(x1429))))))))))))))))))))))))))))))))))) :|: x1429 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1429)))))))))))))))))))))))))))))))))
   1'(z) -{ 2 }-> 1'(0'(3'(3'(1'(0'(2'(0'(3'(1'(0'(3'(2'(1'(2'(2'(1'(0'(2'(0'(1'(3'(1'(1'(2'(1'(0'(0'(3'(3'(0'(0'(1'(3'(1'(x1436))))))))))))))))))))))))))))))))))) :|: x1436 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1436)))))))))))))))))))))))))))))))))
   1'(z) -{ 2 }-> 1'(0'(3'(3'(1'(0'(2'(0'(3'(1'(0'(3'(2'(1'(2'(2'(1'(0'(2'(0'(0'(0'(2'(0'(3'(0'(2'(2'(0'(1'(1'(3'(2'(2'(0'(x1426))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1426))))))))))))))))))))))))))))))))), x1426 >= 0
   1'(z) -{ 2 }-> 1'(0'(3'(3'(1'(0'(2'(0'(3'(1'(0'(3'(2'(1'(2'(2'(1'(0'(0'(3'(1'(0'(3'(0'(0'(3'(3'(0'(3'(3'(0'(0'(2'(0'(2'(x1427))))))))))))))))))))))))))))))))))) :|: x1427 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1427)))))))))))))))))))))))))))))))))
   1'(z) -{ 2 }-> 1'(0'(3'(3'(1'(0'(2'(0'(3'(1'(0'(3'(2'(1'(2'(2'(1'(0'(0'(3'(1'(0'(0'(0'(0'(2'(0'(0'(0'(3'(1'(0'(0'(0'(0'(x1432))))))))))))))))))))))))))))))))))) :|: x1432 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1432)))))))))))))))))))))))))))))))))
   1'(z) -{ 2 }-> 1'(0'(3'(3'(1'(0'(2'(0'(3'(1'(0'(3'(2'(1'(2'(2'(1'(0'(0'(0'(1'(1'(1'(0'(1'(3'(3'(1'(0'(3'(2'(0'(2'(3'(1'(x1430))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1430))))))))))))))))))))))))))))))))), x1430 >= 0
   1'(z) -{ 1 }-> 1'(0'(3'(3'(1'(0'(2'(0'(3'(1'(0'(3'(2'(1'(2'(2'(1'(0))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   1'(z) -{ 1 }-> 1'(0'(3'(3'(1'(0'(2'(0'(3'(1'(0'(3'(2'(1'(2'(2'(1'(1 + x1))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   1'(z) -{ 1 }-> 1'(0'(3'(3'(0'(3'(3'(1'(0'(2'(3'(1'(1'(3'(2'(3'(2'(3'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   1'(z) -{ 1 }-> 1'(0'(3'(1'(1'(2'(2'(3'(2'(3'(1'(1'(3'(1'(1'(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'(0'(3'(0'(0'(3'(3'(0'(0'(2'(1'(0'(3'(1'(2'(3'(1'(3'(3'(0'(3'(1'(0'(3'(2'(3'(2'(2'(0'(3'(2'(1'(1'(0'(3'(x1184))))))))))))))))))))))))))))))))))) :|: x1184 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1184)))))))))))))))))))))))))))))))))
   1'(z) -{ 2 }-> 1'(0'(3'(0'(0'(3'(3'(0'(0'(2'(1'(0'(3'(1'(2'(3'(1'(3'(0'(1'(1'(1'(1'(3'(0'(3'(1'(1'(0'(3'(0'(2'(3'(3'(3'(x1179))))))))))))))))))))))))))))))))))) :|: x1179 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1179)))))))))))))))))))))))))))))))))
   1'(z) -{ 2 }-> 1'(0'(3'(0'(0'(3'(3'(0'(0'(2'(1'(0'(3'(1'(2'(3'(1'(2'(3'(2'(1'(1'(2'(2'(1'(3'(1'(0'(2'(1'(1'(1'(0'(3'(3'(x1180))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1180))))))))))))))))))))))))))))))))), x1180 >= 0
   1'(z) -{ 2 }-> 1'(0'(3'(0'(0'(3'(3'(0'(0'(2'(1'(0'(3'(1'(2'(3'(1'(2'(3'(1'(0'(3'(1'(0'(2'(3'(3'(2'(2'(0'(0'(3'(1'(2'(2'(x1181))))))))))))))))))))))))))))))))))) :|: x1181 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1181)))))))))))))))))))))))))))))))))
   1'(z) -{ 2 }-> 1'(0'(3'(0'(0'(3'(3'(0'(0'(2'(1'(0'(3'(1'(2'(3'(1'(1'(3'(2'(0'(1'(0'(2'(2'(2'(2'(2'(1'(0'(3'(3'(3'(2'(3'(x1183))))))))))))))))))))))))))))))))))) :|: x1183 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1183)))))))))))))))))))))))))))))))))
   1'(z) -{ 2 }-> 1'(0'(3'(0'(0'(3'(3'(0'(0'(2'(1'(0'(3'(1'(2'(3'(1'(1'(3'(1'(3'(0'(1'(1'(3'(2'(3'(2'(2'(0'(3'(1'(1'(1'(1'(x1172))))))))))))))))))))))))))))))))))) :|: x1172 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1172)))))))))))))))))))))))))))))))))
   1'(z) -{ 2 }-> 1'(0'(3'(0'(0'(3'(3'(0'(0'(2'(1'(0'(3'(1'(2'(3'(1'(1'(3'(1'(1'(0'(3'(3'(0'(2'(0'(1'(3'(0'(3'(2'(3'(2'(2'(x1178))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1178))))))))))))))))))))))))))))))))), x1178 >= 0
   1'(z) -{ 2 }-> 1'(0'(3'(0'(0'(3'(3'(0'(0'(2'(1'(0'(3'(1'(2'(3'(1'(1'(2'(2'(0'(1'(1'(1'(1'(0'(0'(3'(2'(1'(0'(2'(3'(1'(1'(x1173))))))))))))))))))))))))))))))))))) :|: x1173 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1173)))))))))))))))))))))))))))))))))
   1'(z) -{ 2 }-> 1'(0'(3'(0'(0'(3'(3'(0'(0'(2'(1'(0'(3'(1'(2'(3'(1'(1'(1'(2'(3'(3'(0'(0'(3'(3'(1'(1'(1'(1'(1'(0'(2'(2'(1'(x1175))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1175))))))))))))))))))))))))))))))))), x1175 >= 0
   1'(z) -{ 2 }-> 1'(0'(3'(0'(0'(3'(3'(0'(0'(2'(1'(0'(3'(1'(2'(3'(1'(1'(0'(3'(3'(1'(0'(2'(0'(3'(1'(0'(3'(2'(1'(2'(2'(1'(0'(x1174))))))))))))))))))))))))))))))))))) :|: x1174 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1174)))))))))))))))))))))))))))))))))
   1'(z) -{ 2 }-> 1'(0'(3'(0'(0'(3'(3'(0'(0'(2'(1'(0'(3'(1'(2'(3'(1'(1'(0'(3'(3'(0'(3'(3'(1'(0'(2'(3'(1'(1'(3'(2'(3'(2'(3'(x1176))))))))))))))))))))))))))))))))))) :|: x1176 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1176)))))))))))))))))))))))))))))))))
   1'(z) -{ 2 }-> 1'(0'(3'(0'(0'(3'(3'(0'(0'(2'(1'(0'(3'(1'(2'(3'(1'(1'(0'(3'(1'(1'(2'(2'(3'(2'(3'(1'(1'(3'(1'(1'(0'(3'(3'(x1182))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1182))))))))))))))))))))))))))))))))), x1182 >= 0
   1'(z) -{ 2 }-> 1'(0'(3'(0'(0'(3'(3'(0'(0'(2'(1'(0'(3'(1'(2'(3'(1'(1'(0'(3'(0'(0'(3'(3'(0'(0'(2'(1'(0'(3'(1'(2'(3'(1'(1'(x1171))))))))))))))))))))))))))))))))))) :|: x1171 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1171)))))))))))))))))))))))))))))))))
   1'(z) -{ 2 }-> 1'(0'(3'(0'(0'(3'(3'(0'(0'(2'(1'(0'(3'(1'(2'(3'(1'(1'(0'(1'(0'(3'(1'(3'(1'(0'(1'(1'(3'(2'(3'(0'(2'(1'(1'(x1177))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1177))))))))))))))))))))))))))))))))), x1177 >= 0
   1'(z) -{ 1 }-> 1'(0'(3'(0'(0'(3'(3'(0'(0'(2'(1'(0'(3'(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'(0'(0'(2'(1'(0'(3'(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) -{ 2 }-> 1'(0'(1'(0'(3'(1'(3'(1'(0'(1'(1'(3'(2'(3'(0'(2'(1'(3'(3'(0'(3'(1'(0'(3'(2'(3'(2'(2'(0'(3'(2'(1'(1'(0'(3'(x1594))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1594))))))))))))))))))))))))))))))))), x1594 >= 0
   1'(z) -{ 2 }-> 1'(0'(1'(0'(3'(1'(3'(1'(0'(1'(1'(3'(2'(3'(0'(2'(1'(3'(0'(1'(1'(1'(1'(3'(0'(3'(1'(1'(0'(3'(0'(2'(3'(3'(3'(x1589))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1589))))))))))))))))))))))))))))))))), x1589 >= 0
   1'(z) -{ 2 }-> 1'(0'(1'(0'(3'(1'(3'(1'(0'(1'(1'(3'(2'(3'(0'(2'(1'(2'(3'(2'(1'(1'(2'(2'(1'(3'(1'(0'(2'(1'(1'(1'(0'(3'(3'(x1590))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1590))))))))))))))))))))))))))))))))), x1590 >= 0
   1'(z) -{ 2 }-> 1'(0'(1'(0'(3'(1'(3'(1'(0'(1'(1'(3'(2'(3'(0'(2'(1'(2'(3'(1'(0'(3'(1'(0'(2'(3'(3'(2'(2'(0'(0'(3'(1'(2'(2'(x1591))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1591))))))))))))))))))))))))))))))))), x1591 >= 0
   1'(z) -{ 2 }-> 1'(0'(1'(0'(3'(1'(3'(1'(0'(1'(1'(3'(2'(3'(0'(2'(1'(1'(3'(2'(0'(1'(0'(2'(2'(2'(2'(2'(1'(0'(3'(3'(3'(2'(3'(x1593))))))))))))))))))))))))))))))))))) :|: x1593 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1593)))))))))))))))))))))))))))))))))
   1'(z) -{ 2 }-> 1'(0'(1'(0'(3'(1'(3'(1'(0'(1'(1'(3'(2'(3'(0'(2'(1'(1'(3'(1'(3'(0'(1'(1'(3'(2'(3'(2'(2'(0'(3'(1'(1'(1'(1'(x1582))))))))))))))))))))))))))))))))))) :|: x1582 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1582)))))))))))))))))))))))))))))))))
   1'(z) -{ 2 }-> 1'(0'(1'(0'(3'(1'(3'(1'(0'(1'(1'(3'(2'(3'(0'(2'(1'(1'(3'(1'(1'(0'(3'(3'(0'(2'(0'(1'(3'(0'(3'(2'(3'(2'(2'(x1588))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1588))))))))))))))))))))))))))))))))), x1588 >= 0
   1'(z) -{ 2 }-> 1'(0'(1'(0'(3'(1'(3'(1'(0'(1'(1'(3'(2'(3'(0'(2'(1'(1'(2'(2'(0'(1'(1'(1'(1'(0'(0'(3'(2'(1'(0'(2'(3'(1'(1'(x1583))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1583))))))))))))))))))))))))))))))))), x1583 >= 0
   1'(z) -{ 2 }-> 1'(0'(1'(0'(3'(1'(3'(1'(0'(1'(1'(3'(2'(3'(0'(2'(1'(1'(1'(2'(3'(3'(0'(0'(3'(3'(1'(1'(1'(1'(1'(0'(2'(2'(1'(x1585))))))))))))))))))))))))))))))))))) :|: x1585 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1585)))))))))))))))))))))))))))))))))
   1'(z) -{ 2 }-> 1'(0'(1'(0'(3'(1'(3'(1'(0'(1'(1'(3'(2'(3'(0'(2'(1'(1'(0'(3'(3'(1'(0'(2'(0'(3'(1'(0'(3'(2'(1'(2'(2'(1'(0'(x1584))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1584))))))))))))))))))))))))))))))))), x1584 >= 0
   1'(z) -{ 2 }-> 1'(0'(1'(0'(3'(1'(3'(1'(0'(1'(1'(3'(2'(3'(0'(2'(1'(1'(0'(3'(3'(0'(3'(3'(1'(0'(2'(3'(1'(1'(3'(2'(3'(2'(3'(x1586))))))))))))))))))))))))))))))))))) :|: x1586 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1586)))))))))))))))))))))))))))))))))
   1'(z) -{ 2 }-> 1'(0'(1'(0'(3'(1'(3'(1'(0'(1'(1'(3'(2'(3'(0'(2'(1'(1'(0'(3'(1'(1'(2'(2'(3'(2'(3'(1'(1'(3'(1'(1'(0'(3'(3'(x1592))))))))))))))))))))))))))))))))))) :|: x1592 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1592)))))))))))))))))))))))))))))))))
   1'(z) -{ 2 }-> 1'(0'(1'(0'(3'(1'(3'(1'(0'(1'(1'(3'(2'(3'(0'(2'(1'(1'(0'(3'(0'(0'(3'(3'(0'(0'(2'(1'(0'(3'(1'(2'(3'(1'(1'(x1581))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1581))))))))))))))))))))))))))))))))), x1581 >= 0
   1'(z) -{ 2 }-> 1'(0'(1'(0'(3'(1'(3'(1'(0'(1'(1'(3'(2'(3'(0'(2'(1'(1'(0'(1'(0'(3'(1'(3'(1'(0'(1'(1'(3'(2'(3'(0'(2'(1'(1'(x1587))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1587))))))))))))))))))))))))))))))))), x1587 >= 0
   1'(z) -{ 1 }-> 1'(0'(1'(0'(3'(1'(3'(1'(0'(1'(1'(3'(2'(3'(0'(2'(1'(0))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   1'(z) -{ 1 }-> 1'(0'(1'(0'(3'(1'(3'(1'(0'(1'(1'(3'(2'(3'(0'(2'(1'(1 + x1))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   1'(z) -{ 0 }-> 0 :|: v0 >= 0, z = v0
   1'(z) -{ 0 }-> 1 + x0 :|: z = x0, x0 >= 0
   2'(z) -{ 1 }-> 3'(0'(2'(1'(3'(2'(2'(1'(1'(2'(0'(3'(0'(0'(2'(2'(3'(2'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   2'(z) -{ 2 }-> 3'(0'(0'(3'(1'(1'(1'(1'(1'(2'(3'(2'(0'(2'(2'(1'(2'(3'(3'(0'(3'(1'(0'(3'(2'(3'(2'(2'(0'(3'(2'(1'(1'(0'(3'(x11450))))))))))))))))))))))))))))))))))) :|: x11450 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11450)))))))))))))))))))))))))))))))))
   2'(z) -{ 2 }-> 3'(0'(0'(3'(1'(1'(1'(1'(1'(2'(3'(2'(0'(2'(2'(1'(2'(3'(0'(1'(1'(1'(1'(3'(0'(3'(1'(1'(0'(3'(0'(2'(3'(3'(3'(x11445))))))))))))))))))))))))))))))))))) :|: x11445 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11445)))))))))))))))))))))))))))))))))
   2'(z) -{ 2 }-> 3'(0'(0'(3'(1'(1'(1'(1'(1'(2'(3'(2'(0'(2'(2'(1'(2'(2'(3'(2'(1'(1'(2'(2'(1'(3'(1'(0'(2'(1'(1'(1'(0'(3'(3'(x11446))))))))))))))))))))))))))))))))))) :|: x11446 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11446)))))))))))))))))))))))))))))))))
   2'(z) -{ 2 }-> 3'(0'(0'(3'(1'(1'(1'(1'(1'(2'(3'(2'(0'(2'(2'(1'(2'(2'(3'(1'(0'(3'(1'(0'(2'(3'(3'(2'(2'(0'(0'(3'(1'(2'(2'(x11447))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11447))))))))))))))))))))))))))))))))), x11447 >= 0
   2'(z) -{ 2 }-> 3'(0'(0'(3'(1'(1'(1'(1'(1'(2'(3'(2'(0'(2'(2'(1'(2'(1'(3'(2'(0'(1'(0'(2'(2'(2'(2'(2'(1'(0'(3'(3'(3'(2'(3'(x11449))))))))))))))))))))))))))))))))))) :|: x11449 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11449)))))))))))))))))))))))))))))))))
   2'(z) -{ 2 }-> 3'(0'(0'(3'(1'(1'(1'(1'(1'(2'(3'(2'(0'(2'(2'(1'(2'(1'(3'(1'(3'(0'(1'(1'(3'(2'(3'(2'(2'(0'(3'(1'(1'(1'(1'(x11438))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11438))))))))))))))))))))))))))))))))), x11438 >= 0
   2'(z) -{ 2 }-> 3'(0'(0'(3'(1'(1'(1'(1'(1'(2'(3'(2'(0'(2'(2'(1'(2'(1'(3'(1'(1'(0'(3'(3'(0'(2'(0'(1'(3'(0'(3'(2'(3'(2'(2'(x11444))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11444))))))))))))))))))))))))))))))))), x11444 >= 0
   2'(z) -{ 2 }-> 3'(0'(0'(3'(1'(1'(1'(1'(1'(2'(3'(2'(0'(2'(2'(1'(2'(1'(2'(2'(0'(1'(1'(1'(1'(0'(0'(3'(2'(1'(0'(2'(3'(1'(1'(x11439))))))))))))))))))))))))))))))))))) :|: x11439 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11439)))))))))))))))))))))))))))))))))
   2'(z) -{ 2 }-> 3'(0'(0'(3'(1'(1'(1'(1'(1'(2'(3'(2'(0'(2'(2'(1'(2'(1'(1'(2'(3'(3'(0'(0'(3'(3'(1'(1'(1'(1'(1'(0'(2'(2'(1'(x11441))))))))))))))))))))))))))))))))))) :|: x11441 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11441)))))))))))))))))))))))))))))))))
   2'(z) -{ 2 }-> 3'(0'(0'(3'(1'(1'(1'(1'(1'(2'(3'(2'(0'(2'(2'(1'(2'(1'(0'(3'(3'(1'(0'(2'(0'(3'(1'(0'(3'(2'(1'(2'(2'(1'(0'(x11440))))))))))))))))))))))))))))))))))) :|: x11440 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11440)))))))))))))))))))))))))))))))))
   2'(z) -{ 2 }-> 3'(0'(0'(3'(1'(1'(1'(1'(1'(2'(3'(2'(0'(2'(2'(1'(2'(1'(0'(3'(3'(0'(3'(3'(1'(0'(2'(3'(1'(1'(3'(2'(3'(2'(3'(x11442))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11442))))))))))))))))))))))))))))))))), x11442 >= 0
   2'(z) -{ 2 }-> 3'(0'(0'(3'(1'(1'(1'(1'(1'(2'(3'(2'(0'(2'(2'(1'(2'(1'(0'(3'(1'(1'(2'(2'(3'(2'(3'(1'(1'(3'(1'(1'(0'(3'(3'(x11448))))))))))))))))))))))))))))))))))) :|: x11448 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11448)))))))))))))))))))))))))))))))))
   2'(z) -{ 2 }-> 3'(0'(0'(3'(1'(1'(1'(1'(1'(2'(3'(2'(0'(2'(2'(1'(2'(1'(0'(3'(0'(0'(3'(3'(0'(0'(2'(1'(0'(3'(1'(2'(3'(1'(1'(x11437))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11437))))))))))))))))))))))))))))))))), x11437 >= 0
   2'(z) -{ 2 }-> 3'(0'(0'(3'(1'(1'(1'(1'(1'(2'(3'(2'(0'(2'(2'(1'(2'(1'(0'(1'(0'(3'(1'(3'(1'(0'(1'(1'(3'(2'(3'(0'(2'(1'(1'(x11443))))))))))))))))))))))))))))))))))) :|: x11443 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11443)))))))))))))))))))))))))))))))))
   2'(z) -{ 1 }-> 3'(0'(0'(3'(1'(1'(1'(1'(1'(2'(3'(2'(0'(2'(2'(1'(2'(0))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   2'(z) -{ 1 }-> 3'(0'(0'(3'(1'(1'(1'(1'(1'(2'(3'(2'(0'(2'(2'(1'(2'(1 + x1))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   2'(z) -{ 2 }-> 3'(0'(0'(3'(0'(2'(3'(1'(1'(3'(3'(2'(2'(0'(3'(0'(2'(2'(1'(1'(1'(1'(0'(3'(1'(1'(1'(2'(0'(3'(1'(0'(2'(2'(2'(x11579))))))))))))))))))))))))))))))))))) :|: x11579 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11579)))))))))))))))))))))))))))))))))
   2'(z) -{ 2 }-> 3'(0'(0'(3'(0'(2'(3'(1'(1'(3'(3'(2'(2'(0'(3'(0'(2'(0'(3'(2'(2'(0'(2'(2'(2'(2'(0'(3'(0'(1'(0'(1'(1'(0'(3'(x11585))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11585))))))))))))))))))))))))))))))))), x11585 >= 0
   2'(z) -{ 2 }-> 3'(0'(0'(3'(0'(2'(3'(1'(1'(3'(3'(2'(2'(0'(3'(0'(2'(0'(3'(2'(0'(0'(1'(2'(1'(0'(2'(1'(1'(3'(1'(0'(0'(2'(3'(x11582))))))))))))))))))))))))))))))))))) :|: x11582 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11582)))))))))))))))))))))))))))))))))
   2'(z) -{ 2 }-> 3'(0'(0'(3'(0'(2'(3'(1'(1'(3'(3'(2'(2'(0'(3'(0'(2'(0'(2'(3'(3'(1'(2'(1'(1'(1'(0'(2'(3'(1'(0'(2'(0'(3'(3'(x11586))))))))))))))))))))))))))))))))))) :|: x11586 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11586)))))))))))))))))))))))))))))))))
   2'(z) -{ 2 }-> 3'(0'(0'(3'(0'(2'(3'(1'(1'(3'(3'(2'(2'(0'(3'(0'(2'(0'(2'(2'(0'(3'(3'(1'(0'(0'(3'(0'(2'(1'(1'(0'(1'(2'(0'(x11584))))))))))))))))))))))))))))))))))) :|: x11584 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11584)))))))))))))))))))))))))))))))))
   2'(z) -{ 2 }-> 3'(0'(0'(3'(0'(2'(3'(1'(1'(3'(3'(2'(2'(0'(3'(0'(2'(0'(2'(2'(0'(0'(3'(0'(2'(3'(1'(0'(3'(1'(0'(3'(2'(3'(1'(x11580))))))))))))))))))))))))))))))))))) :|: x11580 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11580)))))))))))))))))))))))))))))))))
   2'(z) -{ 2 }-> 3'(0'(0'(3'(0'(2'(3'(1'(1'(3'(3'(2'(2'(0'(3'(0'(2'(0'(2'(0'(1'(3'(1'(1'(2'(1'(0'(0'(3'(3'(0'(0'(1'(3'(1'(x11587))))))))))))))))))))))))))))))))))) :|: x11587 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11587)))))))))))))))))))))))))))))))))
   2'(z) -{ 2 }-> 3'(0'(0'(3'(0'(2'(3'(1'(1'(3'(3'(2'(2'(0'(3'(0'(2'(0'(2'(0'(0'(0'(2'(0'(3'(0'(2'(2'(0'(1'(1'(3'(2'(2'(0'(x11577))))))))))))))))))))))))))))))))))) :|: x11577 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11577)))))))))))))))))))))))))))))))))
   2'(z) -{ 2 }-> 3'(0'(0'(3'(0'(2'(3'(1'(1'(3'(3'(2'(2'(0'(3'(0'(2'(0'(0'(3'(1'(0'(3'(0'(0'(3'(3'(0'(3'(3'(0'(0'(2'(0'(2'(x11578))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11578))))))))))))))))))))))))))))))))), x11578 >= 0
   2'(z) -{ 2 }-> 3'(0'(0'(3'(0'(2'(3'(1'(1'(3'(3'(2'(2'(0'(3'(0'(2'(0'(0'(3'(1'(0'(0'(0'(0'(2'(0'(0'(0'(3'(1'(0'(0'(0'(0'(x11583))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11583))))))))))))))))))))))))))))))))), x11583 >= 0
   2'(z) -{ 2 }-> 3'(0'(0'(3'(0'(2'(3'(1'(1'(3'(3'(2'(2'(0'(3'(0'(2'(0'(0'(0'(1'(1'(1'(0'(1'(3'(3'(1'(0'(3'(2'(0'(2'(3'(1'(x11581))))))))))))))))))))))))))))))))))) :|: x11581 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11581)))))))))))))))))))))))))))))))))
   2'(z) -{ 1 }-> 3'(0'(0'(3'(0'(2'(3'(1'(1'(3'(3'(2'(2'(0'(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
   2'(z) -{ 1 }-> 3'(0'(0'(3'(0'(2'(3'(1'(1'(3'(3'(2'(2'(0'(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
   2'(z) -{ 2 }-> 3'(0'(0'(0'(1'(1'(2'(3'(3'(0'(0'(3'(0'(1'(0'(2'(1'(3'(3'(0'(3'(1'(0'(3'(2'(3'(2'(2'(0'(3'(2'(1'(1'(0'(3'(x1198))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1198))))))))))))))))))))))))))))))))), x1198 >= 0
   2'(z) -{ 2 }-> 3'(0'(0'(0'(1'(1'(2'(3'(3'(0'(0'(3'(0'(1'(0'(2'(1'(3'(0'(1'(1'(1'(1'(3'(0'(3'(1'(1'(0'(3'(0'(2'(3'(3'(3'(x1193))))))))))))))))))))))))))))))))))) :|: x1193 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1193)))))))))))))))))))))))))))))))))
   2'(z) -{ 2 }-> 3'(0'(0'(0'(1'(1'(2'(3'(3'(0'(0'(3'(0'(1'(0'(2'(1'(2'(3'(2'(1'(1'(2'(2'(1'(3'(1'(0'(2'(1'(1'(1'(0'(3'(3'(x1194))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1194))))))))))))))))))))))))))))))))), x1194 >= 0
   2'(z) -{ 2 }-> 3'(0'(0'(0'(1'(1'(2'(3'(3'(0'(0'(3'(0'(1'(0'(2'(1'(2'(3'(1'(0'(3'(1'(0'(2'(3'(3'(2'(2'(0'(0'(3'(1'(2'(2'(x1195))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1195))))))))))))))))))))))))))))))))), x1195 >= 0
   2'(z) -{ 2 }-> 3'(0'(0'(0'(1'(1'(2'(3'(3'(0'(0'(3'(0'(1'(0'(2'(1'(1'(3'(2'(0'(1'(0'(2'(2'(2'(2'(2'(1'(0'(3'(3'(3'(2'(3'(x1197))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1197))))))))))))))))))))))))))))))))), x1197 >= 0
   2'(z) -{ 2 }-> 3'(0'(0'(0'(1'(1'(2'(3'(3'(0'(0'(3'(0'(1'(0'(2'(1'(1'(3'(1'(3'(0'(1'(1'(3'(2'(3'(2'(2'(0'(3'(1'(1'(1'(1'(x1186))))))))))))))))))))))))))))))))))) :|: x1186 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1186)))))))))))))))))))))))))))))))))
   2'(z) -{ 2 }-> 3'(0'(0'(0'(1'(1'(2'(3'(3'(0'(0'(3'(0'(1'(0'(2'(1'(1'(3'(1'(1'(0'(3'(3'(0'(2'(0'(1'(3'(0'(3'(2'(3'(2'(2'(x1192))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1192))))))))))))))))))))))))))))))))), x1192 >= 0
   2'(z) -{ 2 }-> 3'(0'(0'(0'(1'(1'(2'(3'(3'(0'(0'(3'(0'(1'(0'(2'(1'(1'(2'(2'(0'(1'(1'(1'(1'(0'(0'(3'(2'(1'(0'(2'(3'(1'(1'(x1187))))))))))))))))))))))))))))))))))) :|: x1187 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1187)))))))))))))))))))))))))))))))))
   2'(z) -{ 2 }-> 3'(0'(0'(0'(1'(1'(2'(3'(3'(0'(0'(3'(0'(1'(0'(2'(1'(1'(1'(2'(3'(3'(0'(0'(3'(3'(1'(1'(1'(1'(1'(0'(2'(2'(1'(x1189))))))))))))))))))))))))))))))))))) :|: x1189 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1189)))))))))))))))))))))))))))))))))
   2'(z) -{ 2 }-> 3'(0'(0'(0'(1'(1'(2'(3'(3'(0'(0'(3'(0'(1'(0'(2'(1'(1'(0'(3'(3'(1'(0'(2'(0'(3'(1'(0'(3'(2'(1'(2'(2'(1'(0'(x1188))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1188))))))))))))))))))))))))))))))))), x1188 >= 0
   2'(z) -{ 2 }-> 3'(0'(0'(0'(1'(1'(2'(3'(3'(0'(0'(3'(0'(1'(0'(2'(1'(1'(0'(3'(3'(0'(3'(3'(1'(0'(2'(3'(1'(1'(3'(2'(3'(2'(3'(x1190))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1190))))))))))))))))))))))))))))))))), x1190 >= 0
   2'(z) -{ 2 }-> 3'(0'(0'(0'(1'(1'(2'(3'(3'(0'(0'(3'(0'(1'(0'(2'(1'(1'(0'(3'(1'(1'(2'(2'(3'(2'(3'(1'(1'(3'(1'(1'(0'(3'(3'(x1196))))))))))))))))))))))))))))))))))) :|: x1196 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1196)))))))))))))))))))))))))))))))))
   2'(z) -{ 2 }-> 3'(0'(0'(0'(1'(1'(2'(3'(3'(0'(0'(3'(0'(1'(0'(2'(1'(1'(0'(3'(0'(0'(3'(3'(0'(0'(2'(1'(0'(3'(1'(2'(3'(1'(1'(x1185))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1185))))))))))))))))))))))))))))))))), x1185 >= 0
   2'(z) -{ 2 }-> 3'(0'(0'(0'(1'(1'(2'(3'(3'(0'(0'(3'(0'(1'(0'(2'(1'(1'(0'(1'(0'(3'(1'(3'(1'(0'(1'(1'(3'(2'(3'(0'(2'(1'(1'(x1191))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1191))))))))))))))))))))))))))))))))), x1191 >= 0
   2'(z) -{ 1 }-> 3'(0'(0'(0'(1'(1'(2'(3'(3'(0'(0'(3'(0'(1'(0'(2'(1'(0))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   2'(z) -{ 1 }-> 3'(0'(0'(0'(1'(1'(2'(3'(3'(0'(0'(3'(0'(1'(0'(2'(1'(1 + x1))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   2'(z) -{ 2 }-> 2'(3'(3'(1'(3'(1'(3'(3'(2'(3'(1'(1'(2'(3'(2'(1'(0'(3'(3'(0'(3'(1'(0'(3'(2'(3'(2'(2'(0'(3'(2'(1'(1'(0'(3'(x1733))))))))))))))))))))))))))))))))))) :|: x1733 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1733)))))))))))))))))))))))))))))))))
   2'(z) -{ 2 }-> 2'(3'(3'(1'(3'(1'(3'(3'(2'(3'(1'(1'(2'(3'(2'(1'(0'(3'(0'(1'(1'(1'(1'(3'(0'(3'(1'(1'(0'(3'(0'(2'(3'(3'(3'(x1728))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1728))))))))))))))))))))))))))))))))), x1728 >= 0
   2'(z) -{ 2 }-> 2'(3'(3'(1'(3'(1'(3'(3'(2'(3'(1'(1'(2'(3'(2'(1'(0'(2'(3'(2'(1'(1'(2'(2'(1'(3'(1'(0'(2'(1'(1'(1'(0'(3'(3'(x1729))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1729))))))))))))))))))))))))))))))))), x1729 >= 0
   2'(z) -{ 2 }-> 2'(3'(3'(1'(3'(1'(3'(3'(2'(3'(1'(1'(2'(3'(2'(1'(0'(2'(3'(1'(0'(3'(1'(0'(2'(3'(3'(2'(2'(0'(0'(3'(1'(2'(2'(x1730))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1730))))))))))))))))))))))))))))))))), x1730 >= 0
   2'(z) -{ 2 }-> 2'(3'(3'(1'(3'(1'(3'(3'(2'(3'(1'(1'(2'(3'(2'(1'(0'(1'(3'(2'(0'(1'(0'(2'(2'(2'(2'(2'(1'(0'(3'(3'(3'(2'(3'(x1732))))))))))))))))))))))))))))))))))) :|: x1732 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1732)))))))))))))))))))))))))))))))))
   2'(z) -{ 2 }-> 2'(3'(3'(1'(3'(1'(3'(3'(2'(3'(1'(1'(2'(3'(2'(1'(0'(1'(3'(1'(3'(0'(1'(1'(3'(2'(3'(2'(2'(0'(3'(1'(1'(1'(1'(x1721))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1721))))))))))))))))))))))))))))))))), x1721 >= 0
   2'(z) -{ 2 }-> 2'(3'(3'(1'(3'(1'(3'(3'(2'(3'(1'(1'(2'(3'(2'(1'(0'(1'(3'(1'(1'(0'(3'(3'(0'(2'(0'(1'(3'(0'(3'(2'(3'(2'(2'(x1727))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1727))))))))))))))))))))))))))))))))), x1727 >= 0
   2'(z) -{ 2 }-> 2'(3'(3'(1'(3'(1'(3'(3'(2'(3'(1'(1'(2'(3'(2'(1'(0'(1'(2'(2'(0'(1'(1'(1'(1'(0'(0'(3'(2'(1'(0'(2'(3'(1'(1'(x1722))))))))))))))))))))))))))))))))))) :|: x1722 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1722)))))))))))))))))))))))))))))))))
   2'(z) -{ 2 }-> 2'(3'(3'(1'(3'(1'(3'(3'(2'(3'(1'(1'(2'(3'(2'(1'(0'(1'(1'(2'(3'(3'(0'(0'(3'(3'(1'(1'(1'(1'(1'(0'(2'(2'(1'(x1724))))))))))))))))))))))))))))))))))) :|: x1724 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1724)))))))))))))))))))))))))))))))))
   2'(z) -{ 2 }-> 2'(3'(3'(1'(3'(1'(3'(3'(2'(3'(1'(1'(2'(3'(2'(1'(0'(1'(0'(3'(3'(1'(0'(2'(0'(3'(1'(0'(3'(2'(1'(2'(2'(1'(0'(x1723))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1723))))))))))))))))))))))))))))))))), x1723 >= 0
   2'(z) -{ 2 }-> 2'(3'(3'(1'(3'(1'(3'(3'(2'(3'(1'(1'(2'(3'(2'(1'(0'(1'(0'(3'(3'(0'(3'(3'(1'(0'(2'(3'(1'(1'(3'(2'(3'(2'(3'(x1725))))))))))))))))))))))))))))))))))) :|: x1725 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1725)))))))))))))))))))))))))))))))))
   2'(z) -{ 2 }-> 2'(3'(3'(1'(3'(1'(3'(3'(2'(3'(1'(1'(2'(3'(2'(1'(0'(1'(0'(3'(1'(1'(2'(2'(3'(2'(3'(1'(1'(3'(1'(1'(0'(3'(3'(x1731))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1731))))))))))))))))))))))))))))))))), x1731 >= 0
   2'(z) -{ 2 }-> 2'(3'(3'(1'(3'(1'(3'(3'(2'(3'(1'(1'(2'(3'(2'(1'(0'(1'(0'(3'(0'(0'(3'(3'(0'(0'(2'(1'(0'(3'(1'(2'(3'(1'(1'(x1720))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1720))))))))))))))))))))))))))))))))), x1720 >= 0
   2'(z) -{ 2 }-> 2'(3'(3'(1'(3'(1'(3'(3'(2'(3'(1'(1'(2'(3'(2'(1'(0'(1'(0'(1'(0'(3'(1'(3'(1'(0'(1'(1'(3'(2'(3'(0'(2'(1'(1'(x1726))))))))))))))))))))))))))))))))))) :|: x1726 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1726)))))))))))))))))))))))))))))))))
   2'(z) -{ 1 }-> 2'(3'(3'(1'(3'(1'(3'(3'(2'(3'(1'(1'(2'(3'(2'(1'(0'(0))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   2'(z) -{ 1 }-> 2'(3'(3'(1'(3'(1'(3'(3'(2'(3'(1'(1'(2'(3'(2'(1'(0'(1 + x1))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   2'(z) -{ 2 }-> 2'(3'(3'(0'(3'(3'(0'(0'(3'(2'(3'(1'(1'(1'(0'(3'(1'(2'(1'(1'(1'(1'(0'(3'(1'(1'(1'(2'(0'(3'(1'(0'(2'(2'(2'(x1597))))))))))))))))))))))))))))))))))) :|: x1597 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1597)))))))))))))))))))))))))))))))))
   2'(z) -{ 2 }-> 2'(3'(3'(0'(3'(3'(0'(0'(3'(2'(3'(1'(1'(1'(0'(3'(1'(0'(3'(2'(2'(0'(2'(2'(2'(2'(0'(3'(0'(1'(0'(1'(1'(0'(3'(x1603))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1603))))))))))))))))))))))))))))))))), x1603 >= 0
   2'(z) -{ 2 }-> 2'(3'(3'(0'(3'(3'(0'(0'(3'(2'(3'(1'(1'(1'(0'(3'(1'(0'(3'(2'(0'(0'(1'(2'(1'(0'(2'(1'(1'(3'(1'(0'(0'(2'(3'(x1600))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1600))))))))))))))))))))))))))))))))), x1600 >= 0
   2'(z) -{ 2 }-> 2'(3'(3'(0'(3'(3'(0'(0'(3'(2'(3'(1'(1'(1'(0'(3'(1'(0'(2'(3'(3'(1'(2'(1'(1'(1'(0'(2'(3'(1'(0'(2'(0'(3'(3'(x1604))))))))))))))))))))))))))))))))))) :|: x1604 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1604)))))))))))))))))))))))))))))))))
   2'(z) -{ 2 }-> 2'(3'(3'(0'(3'(3'(0'(0'(3'(2'(3'(1'(1'(1'(0'(3'(1'(0'(2'(2'(0'(3'(3'(1'(0'(0'(3'(0'(2'(1'(1'(0'(1'(2'(0'(x1602))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1602))))))))))))))))))))))))))))))))), x1602 >= 0
   2'(z) -{ 2 }-> 2'(3'(3'(0'(3'(3'(0'(0'(3'(2'(3'(1'(1'(1'(0'(3'(1'(0'(2'(2'(0'(0'(3'(0'(2'(3'(1'(0'(3'(1'(0'(3'(2'(3'(1'(x1598))))))))))))))))))))))))))))))))))) :|: x1598 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1598)))))))))))))))))))))))))))))))))
   2'(z) -{ 2 }-> 2'(3'(3'(0'(3'(3'(0'(0'(3'(2'(3'(1'(1'(1'(0'(3'(1'(0'(2'(0'(1'(3'(1'(1'(2'(1'(0'(0'(3'(3'(0'(0'(1'(3'(1'(x1605))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1605))))))))))))))))))))))))))))))))), x1605 >= 0
   2'(z) -{ 2 }-> 2'(3'(3'(0'(3'(3'(0'(0'(3'(2'(3'(1'(1'(1'(0'(3'(1'(0'(2'(0'(0'(0'(2'(0'(3'(0'(2'(2'(0'(1'(1'(3'(2'(2'(0'(x1595))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1595))))))))))))))))))))))))))))))))), x1595 >= 0
   2'(z) -{ 2 }-> 2'(3'(3'(0'(3'(3'(0'(0'(3'(2'(3'(1'(1'(1'(0'(3'(1'(0'(0'(3'(1'(0'(3'(0'(0'(3'(3'(0'(3'(3'(0'(0'(2'(0'(2'(x1596))))))))))))))))))))))))))))))))))) :|: x1596 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1596)))))))))))))))))))))))))))))))))
   2'(z) -{ 2 }-> 2'(3'(3'(0'(3'(3'(0'(0'(3'(2'(3'(1'(1'(1'(0'(3'(1'(0'(0'(3'(1'(0'(0'(0'(0'(2'(0'(0'(0'(3'(1'(0'(0'(0'(0'(x1601))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1601))))))))))))))))))))))))))))))))), x1601 >= 0
   2'(z) -{ 2 }-> 2'(3'(3'(0'(3'(3'(0'(0'(3'(2'(3'(1'(1'(1'(0'(3'(1'(0'(0'(0'(1'(1'(1'(0'(1'(3'(3'(1'(0'(3'(2'(0'(2'(3'(1'(x1599))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1599))))))))))))))))))))))))))))))))), x1599 >= 0
   2'(z) -{ 1 }-> 2'(3'(3'(0'(3'(3'(0'(0'(3'(2'(3'(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
   2'(z) -{ 1 }-> 2'(3'(3'(0'(3'(3'(0'(0'(3'(2'(3'(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
   2'(z) -{ 1 }-> 2'(3'(2'(2'(2'(1'(2'(2'(2'(0'(1'(0'(2'(2'(0'(2'(1'(2'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   2'(z) -{ 1 }-> 2'(3'(2'(1'(1'(0'(1'(2'(2'(2'(0'(3'(2'(2'(1'(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
   2'(z) -{ 1 }-> 2'(3'(1'(3'(1'(0'(2'(2'(3'(0'(2'(2'(2'(3'(2'(2'(0'(3'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   2'(z) -{ 2 }-> 2'(3'(1'(2'(3'(2'(2'(1'(2'(0'(0'(1'(0'(3'(1'(1'(1'(2'(1'(1'(1'(1'(0'(3'(1'(1'(1'(2'(0'(3'(1'(0'(2'(2'(2'(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)))))))))))))))))))))))))))))))))
   2'(z) -{ 2 }-> 2'(3'(1'(2'(3'(2'(2'(1'(2'(0'(0'(1'(0'(3'(1'(1'(1'(0'(3'(2'(2'(0'(2'(2'(2'(2'(0'(3'(0'(1'(0'(1'(1'(0'(3'(x1838))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1838))))))))))))))))))))))))))))))))), x1838 >= 0
   2'(z) -{ 2 }-> 2'(3'(1'(2'(3'(2'(2'(1'(2'(0'(0'(1'(0'(3'(1'(1'(1'(0'(3'(2'(0'(0'(1'(2'(1'(0'(2'(1'(1'(3'(1'(0'(0'(2'(3'(x1835))))))))))))))))))))))))))))))))))) :|: x1835 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1835)))))))))))))))))))))))))))))))))
   2'(z) -{ 2 }-> 2'(3'(1'(2'(3'(2'(2'(1'(2'(0'(0'(1'(0'(3'(1'(1'(1'(0'(2'(3'(3'(1'(2'(1'(1'(1'(0'(2'(3'(1'(0'(2'(0'(3'(3'(x1839))))))))))))))))))))))))))))))))))) :|: x1839 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1839)))))))))))))))))))))))))))))))))
   2'(z) -{ 2 }-> 2'(3'(1'(2'(3'(2'(2'(1'(2'(0'(0'(1'(0'(3'(1'(1'(1'(0'(2'(2'(0'(3'(3'(1'(0'(0'(3'(0'(2'(1'(1'(0'(1'(2'(0'(x1837))))))))))))))))))))))))))))))))))) :|: x1837 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1837)))))))))))))))))))))))))))))))))
   2'(z) -{ 2 }-> 2'(3'(1'(2'(3'(2'(2'(1'(2'(0'(0'(1'(0'(3'(1'(1'(1'(0'(2'(2'(0'(0'(3'(0'(2'(3'(1'(0'(3'(1'(0'(3'(2'(3'(1'(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)))))))))))))))))))))))))))))))))
   2'(z) -{ 2 }-> 2'(3'(1'(2'(3'(2'(2'(1'(2'(0'(0'(1'(0'(3'(1'(1'(1'(0'(2'(0'(1'(3'(1'(1'(2'(1'(0'(0'(3'(3'(0'(0'(1'(3'(1'(x1840))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1840))))))))))))))))))))))))))))))))), x1840 >= 0
   2'(z) -{ 2 }-> 2'(3'(1'(2'(3'(2'(2'(1'(2'(0'(0'(1'(0'(3'(1'(1'(1'(0'(2'(0'(0'(0'(2'(0'(3'(0'(2'(2'(0'(1'(1'(3'(2'(2'(0'(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
   2'(z) -{ 2 }-> 2'(3'(1'(2'(3'(2'(2'(1'(2'(0'(0'(1'(0'(3'(1'(1'(1'(0'(0'(3'(1'(0'(3'(0'(0'(3'(3'(0'(3'(3'(0'(0'(2'(0'(2'(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)))))))))))))))))))))))))))))))))
   2'(z) -{ 2 }-> 2'(3'(1'(2'(3'(2'(2'(1'(2'(0'(0'(1'(0'(3'(1'(1'(1'(0'(0'(3'(1'(0'(0'(0'(0'(2'(0'(0'(0'(3'(1'(0'(0'(0'(0'(x1836))))))))))))))))))))))))))))))))))) :|: x1836 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1836)))))))))))))))))))))))))))))))))
   2'(z) -{ 2 }-> 2'(3'(1'(2'(3'(2'(2'(1'(2'(0'(0'(1'(0'(3'(1'(1'(1'(0'(0'(0'(1'(1'(1'(0'(1'(3'(3'(1'(0'(3'(2'(0'(2'(3'(1'(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
   2'(z) -{ 1 }-> 2'(3'(1'(2'(3'(2'(2'(1'(2'(0'(0'(1'(0'(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'(3'(1'(2'(3'(2'(2'(1'(2'(0'(0'(1'(0'(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) -{ 1 }-> 2'(3'(0'(0'(0'(0'(0'(0'(0'(2'(3'(1'(3'(1'(0'(3'(2'(2'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   2'(z) -{ 1 }-> 2'(2'(3'(3'(1'(2'(1'(0'(1'(1'(3'(3'(2'(3'(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
   2'(z) -{ 2 }-> 2'(2'(3'(2'(2'(0'(3'(0'(3'(1'(0'(1'(1'(1'(2'(2'(0'(2'(1'(1'(1'(1'(0'(3'(1'(1'(1'(2'(0'(3'(1'(0'(2'(2'(2'(x1677))))))))))))))))))))))))))))))))))) :|: x1677 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1677)))))))))))))))))))))))))))))))))
   2'(z) -{ 2 }-> 2'(2'(3'(2'(2'(0'(3'(0'(3'(1'(0'(1'(1'(1'(2'(2'(0'(0'(3'(2'(2'(0'(2'(2'(2'(2'(0'(3'(0'(1'(0'(1'(1'(0'(3'(x1683))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1683))))))))))))))))))))))))))))))))), x1683 >= 0
   2'(z) -{ 2 }-> 2'(2'(3'(2'(2'(0'(3'(0'(3'(1'(0'(1'(1'(1'(2'(2'(0'(0'(3'(2'(0'(0'(1'(2'(1'(0'(2'(1'(1'(3'(1'(0'(0'(2'(3'(x1680))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1680))))))))))))))))))))))))))))))))), x1680 >= 0
   2'(z) -{ 2 }-> 2'(2'(3'(2'(2'(0'(3'(0'(3'(1'(0'(1'(1'(1'(2'(2'(0'(0'(2'(3'(3'(1'(2'(1'(1'(1'(0'(2'(3'(1'(0'(2'(0'(3'(3'(x1684))))))))))))))))))))))))))))))))))) :|: x1684 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1684)))))))))))))))))))))))))))))))))
   2'(z) -{ 2 }-> 2'(2'(3'(2'(2'(0'(3'(0'(3'(1'(0'(1'(1'(1'(2'(2'(0'(0'(2'(2'(0'(3'(3'(1'(0'(0'(3'(0'(2'(1'(1'(0'(1'(2'(0'(x1682))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1682))))))))))))))))))))))))))))))))), x1682 >= 0
   2'(z) -{ 2 }-> 2'(2'(3'(2'(2'(0'(3'(0'(3'(1'(0'(1'(1'(1'(2'(2'(0'(0'(2'(2'(0'(0'(3'(0'(2'(3'(1'(0'(3'(1'(0'(3'(2'(3'(1'(x1678))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1678))))))))))))))))))))))))))))))))), x1678 >= 0
   2'(z) -{ 2 }-> 2'(2'(3'(2'(2'(0'(3'(0'(3'(1'(0'(1'(1'(1'(2'(2'(0'(0'(2'(0'(1'(3'(1'(1'(2'(1'(0'(0'(3'(3'(0'(0'(1'(3'(1'(x1685))))))))))))))))))))))))))))))))))) :|: x1685 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1685)))))))))))))))))))))))))))))))))
   2'(z) -{ 2 }-> 2'(2'(3'(2'(2'(0'(3'(0'(3'(1'(0'(1'(1'(1'(2'(2'(0'(0'(2'(0'(0'(0'(2'(0'(3'(0'(2'(2'(0'(1'(1'(3'(2'(2'(0'(x1675))))))))))))))))))))))))))))))))))) :|: x1675 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1675)))))))))))))))))))))))))))))))))
   2'(z) -{ 2 }-> 2'(2'(3'(2'(2'(0'(3'(0'(3'(1'(0'(1'(1'(1'(2'(2'(0'(0'(0'(3'(1'(0'(3'(0'(0'(3'(3'(0'(3'(3'(0'(0'(2'(0'(2'(x1676))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1676))))))))))))))))))))))))))))))))), x1676 >= 0
   2'(z) -{ 2 }-> 2'(2'(3'(2'(2'(0'(3'(0'(3'(1'(0'(1'(1'(1'(2'(2'(0'(0'(0'(3'(1'(0'(0'(0'(0'(2'(0'(0'(0'(3'(1'(0'(0'(0'(0'(x1681))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1681))))))))))))))))))))))))))))))))), x1681 >= 0
   2'(z) -{ 2 }-> 2'(2'(3'(2'(2'(0'(3'(0'(3'(1'(0'(1'(1'(1'(2'(2'(0'(0'(0'(0'(1'(1'(1'(0'(1'(3'(3'(1'(0'(3'(2'(0'(2'(3'(1'(x1679))))))))))))))))))))))))))))))))))) :|: x1679 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1679)))))))))))))))))))))))))))))))))
   2'(z) -{ 1 }-> 2'(2'(3'(2'(2'(0'(3'(0'(3'(1'(0'(1'(1'(1'(2'(2'(0'(0))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   2'(z) -{ 1 }-> 2'(2'(3'(2'(2'(0'(3'(0'(3'(1'(0'(1'(1'(1'(2'(2'(0'(1 + x1))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   2'(z) -{ 1 }-> 2'(2'(3'(0'(3'(1'(0'(0'(3'(0'(1'(1'(1'(1'(2'(1'(0'(3'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   2'(z) -{ 1 }-> 2'(2'(1'(3'(3'(1'(1'(0'(3'(1'(1'(1'(3'(3'(2'(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
   2'(z) -{ 1 }-> 2'(2'(1'(1'(1'(2'(1'(2'(3'(2'(3'(1'(3'(1'(0'(2'(0'(3'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   2'(z) -{ 1 }-> 2'(2'(0'(2'(2'(2'(3'(1'(2'(1'(3'(2'(3'(1'(1'(2'(3'(2'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   2'(z) -{ 1 }-> 2'(0'(3'(1'(0'(1'(3'(1'(3'(2'(2'(2'(2'(0'(1'(1'(0'(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'(0'(2'(0'(1'(0'(1'(1'(0'(1'(0'(3'(2'(0'(2'(2'(2'(2'(1'(1'(1'(1'(0'(3'(1'(1'(1'(2'(0'(3'(1'(0'(2'(2'(2'(x11385))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11385))))))))))))))))))))))))))))))))), x11385 >= 0
   2'(z) -{ 2 }-> 2'(0'(2'(0'(1'(0'(1'(1'(0'(1'(0'(3'(2'(0'(2'(2'(2'(0'(3'(2'(2'(0'(2'(2'(2'(2'(0'(3'(0'(1'(0'(1'(1'(0'(3'(x11391))))))))))))))))))))))))))))))))))) :|: x11391 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11391)))))))))))))))))))))))))))))))))
   2'(z) -{ 2 }-> 2'(0'(2'(0'(1'(0'(1'(1'(0'(1'(0'(3'(2'(0'(2'(2'(2'(0'(3'(2'(0'(0'(1'(2'(1'(0'(2'(1'(1'(3'(1'(0'(0'(2'(3'(x11388))))))))))))))))))))))))))))))))))) :|: x11388 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11388)))))))))))))))))))))))))))))))))
   2'(z) -{ 2 }-> 2'(0'(2'(0'(1'(0'(1'(1'(0'(1'(0'(3'(2'(0'(2'(2'(2'(0'(2'(3'(3'(1'(2'(1'(1'(1'(0'(2'(3'(1'(0'(2'(0'(3'(3'(x11392))))))))))))))))))))))))))))))))))) :|: x11392 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11392)))))))))))))))))))))))))))))))))
   2'(z) -{ 2 }-> 2'(0'(2'(0'(1'(0'(1'(1'(0'(1'(0'(3'(2'(0'(2'(2'(2'(0'(2'(2'(0'(3'(3'(1'(0'(0'(3'(0'(2'(1'(1'(0'(1'(2'(0'(x11390))))))))))))))))))))))))))))))))))) :|: x11390 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11390)))))))))))))))))))))))))))))))))
   2'(z) -{ 2 }-> 2'(0'(2'(0'(1'(0'(1'(1'(0'(1'(0'(3'(2'(0'(2'(2'(2'(0'(2'(2'(0'(0'(3'(0'(2'(3'(1'(0'(3'(1'(0'(3'(2'(3'(1'(x11386))))))))))))))))))))))))))))))))))) :|: x11386 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11386)))))))))))))))))))))))))))))))))
   2'(z) -{ 2 }-> 2'(0'(2'(0'(1'(0'(1'(1'(0'(1'(0'(3'(2'(0'(2'(2'(2'(0'(2'(0'(1'(3'(1'(1'(2'(1'(0'(0'(3'(3'(0'(0'(1'(3'(1'(x11393))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11393))))))))))))))))))))))))))))))))), x11393 >= 0
   2'(z) -{ 2 }-> 2'(0'(2'(0'(1'(0'(1'(1'(0'(1'(0'(3'(2'(0'(2'(2'(2'(0'(2'(0'(0'(0'(2'(0'(3'(0'(2'(2'(0'(1'(1'(3'(2'(2'(0'(x11383))))))))))))))))))))))))))))))))))) :|: x11383 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11383)))))))))))))))))))))))))))))))))
   2'(z) -{ 2 }-> 2'(0'(2'(0'(1'(0'(1'(1'(0'(1'(0'(3'(2'(0'(2'(2'(2'(0'(0'(3'(1'(0'(3'(0'(0'(3'(3'(0'(3'(3'(0'(0'(2'(0'(2'(x11384))))))))))))))))))))))))))))))))))) :|: x11384 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11384)))))))))))))))))))))))))))))))))
   2'(z) -{ 2 }-> 2'(0'(2'(0'(1'(0'(1'(1'(0'(1'(0'(3'(2'(0'(2'(2'(2'(0'(0'(3'(1'(0'(0'(0'(0'(2'(0'(0'(0'(3'(1'(0'(0'(0'(0'(x11389))))))))))))))))))))))))))))))))))) :|: x11389 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11389)))))))))))))))))))))))))))))))))
   2'(z) -{ 2 }-> 2'(0'(2'(0'(1'(0'(1'(1'(0'(1'(0'(3'(2'(0'(2'(2'(2'(0'(0'(0'(1'(1'(1'(0'(1'(3'(3'(1'(0'(3'(2'(0'(2'(3'(1'(x11387))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11387))))))))))))))))))))))))))))))))), x11387 >= 0
   2'(z) -{ 1 }-> 2'(0'(2'(0'(1'(0'(1'(1'(0'(1'(0'(3'(2'(0'(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
   2'(z) -{ 1 }-> 2'(0'(2'(0'(1'(0'(1'(1'(0'(1'(0'(3'(2'(0'(2'(2'(2'(1 + x1))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   2'(z) -{ 1 }-> 2'(0'(0'(1'(1'(0'(2'(2'(3'(1'(2'(2'(1'(2'(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
   2'(z) -{ 2 }-> 1'(2'(3'(1'(1'(0'(1'(3'(0'(0'(0'(3'(2'(3'(2'(2'(1'(3'(3'(0'(3'(1'(0'(3'(2'(3'(2'(2'(0'(3'(2'(1'(1'(0'(3'(x11496))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11496))))))))))))))))))))))))))))))))), x11496 >= 0
   2'(z) -{ 2 }-> 1'(2'(3'(1'(1'(0'(1'(3'(0'(0'(0'(3'(2'(3'(2'(2'(1'(3'(0'(1'(1'(1'(1'(3'(0'(3'(1'(1'(0'(3'(0'(2'(3'(3'(3'(x11491))))))))))))))))))))))))))))))))))) :|: x11491 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11491)))))))))))))))))))))))))))))))))
   2'(z) -{ 2 }-> 1'(2'(3'(1'(1'(0'(1'(3'(0'(0'(0'(3'(2'(3'(2'(2'(1'(2'(3'(2'(1'(1'(2'(2'(1'(3'(1'(0'(2'(1'(1'(1'(0'(3'(3'(x11492))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11492))))))))))))))))))))))))))))))))), x11492 >= 0
   2'(z) -{ 2 }-> 1'(2'(3'(1'(1'(0'(1'(3'(0'(0'(0'(3'(2'(3'(2'(2'(1'(2'(3'(1'(0'(3'(1'(0'(2'(3'(3'(2'(2'(0'(0'(3'(1'(2'(2'(x11493))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11493))))))))))))))))))))))))))))))))), x11493 >= 0
   2'(z) -{ 2 }-> 1'(2'(3'(1'(1'(0'(1'(3'(0'(0'(0'(3'(2'(3'(2'(2'(1'(1'(3'(2'(0'(1'(0'(2'(2'(2'(2'(2'(1'(0'(3'(3'(3'(2'(3'(x11495))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11495))))))))))))))))))))))))))))))))), x11495 >= 0
   2'(z) -{ 2 }-> 1'(2'(3'(1'(1'(0'(1'(3'(0'(0'(0'(3'(2'(3'(2'(2'(1'(1'(3'(1'(3'(0'(1'(1'(3'(2'(3'(2'(2'(0'(3'(1'(1'(1'(1'(x11484))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11484))))))))))))))))))))))))))))))))), x11484 >= 0
   2'(z) -{ 2 }-> 1'(2'(3'(1'(1'(0'(1'(3'(0'(0'(0'(3'(2'(3'(2'(2'(1'(1'(3'(1'(1'(0'(3'(3'(0'(2'(0'(1'(3'(0'(3'(2'(3'(2'(2'(x11490))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11490))))))))))))))))))))))))))))))))), x11490 >= 0
   2'(z) -{ 2 }-> 1'(2'(3'(1'(1'(0'(1'(3'(0'(0'(0'(3'(2'(3'(2'(2'(1'(1'(2'(2'(0'(1'(1'(1'(1'(0'(0'(3'(2'(1'(0'(2'(3'(1'(1'(x11485))))))))))))))))))))))))))))))))))) :|: x11485 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11485)))))))))))))))))))))))))))))))))
   2'(z) -{ 2 }-> 1'(2'(3'(1'(1'(0'(1'(3'(0'(0'(0'(3'(2'(3'(2'(2'(1'(1'(1'(2'(3'(3'(0'(0'(3'(3'(1'(1'(1'(1'(1'(0'(2'(2'(1'(x11487))))))))))))))))))))))))))))))))))) :|: x11487 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11487)))))))))))))))))))))))))))))))))
   2'(z) -{ 2 }-> 1'(2'(3'(1'(1'(0'(1'(3'(0'(0'(0'(3'(2'(3'(2'(2'(1'(1'(0'(3'(3'(1'(0'(2'(0'(3'(1'(0'(3'(2'(1'(2'(2'(1'(0'(x11486))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11486))))))))))))))))))))))))))))))))), x11486 >= 0
   2'(z) -{ 2 }-> 1'(2'(3'(1'(1'(0'(1'(3'(0'(0'(0'(3'(2'(3'(2'(2'(1'(1'(0'(3'(3'(0'(3'(3'(1'(0'(2'(3'(1'(1'(3'(2'(3'(2'(3'(x11488))))))))))))))))))))))))))))))))))) :|: x11488 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11488)))))))))))))))))))))))))))))))))
   2'(z) -{ 2 }-> 1'(2'(3'(1'(1'(0'(1'(3'(0'(0'(0'(3'(2'(3'(2'(2'(1'(1'(0'(3'(1'(1'(2'(2'(3'(2'(3'(1'(1'(3'(1'(1'(0'(3'(3'(x11494))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11494))))))))))))))))))))))))))))))))), x11494 >= 0
   2'(z) -{ 2 }-> 1'(2'(3'(1'(1'(0'(1'(3'(0'(0'(0'(3'(2'(3'(2'(2'(1'(1'(0'(3'(0'(0'(3'(3'(0'(0'(2'(1'(0'(3'(1'(2'(3'(1'(1'(x11483))))))))))))))))))))))))))))))))))) :|: x11483 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11483)))))))))))))))))))))))))))))))))
   2'(z) -{ 2 }-> 1'(2'(3'(1'(1'(0'(1'(3'(0'(0'(0'(3'(2'(3'(2'(2'(1'(1'(0'(1'(0'(3'(1'(3'(1'(0'(1'(1'(3'(2'(3'(0'(2'(1'(1'(x11489))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11489))))))))))))))))))))))))))))))))), x11489 >= 0
   2'(z) -{ 1 }-> 1'(2'(3'(1'(1'(0'(1'(3'(0'(0'(0'(3'(2'(3'(2'(2'(1'(0))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   2'(z) -{ 1 }-> 1'(2'(3'(1'(1'(0'(1'(3'(0'(0'(0'(3'(2'(3'(2'(2'(1'(1 + x1))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   2'(z) -{ 1 }-> 1'(1'(2'(2'(3'(3'(3'(2'(2'(0'(2'(0'(1'(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
   2'(z) -{ 1 }-> 1'(1'(0'(3'(2'(2'(3'(2'(2'(1'(0'(2'(3'(3'(2'(3'(3'(2'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   2'(z) -{ 0 }-> 0 :|: v0 >= 0, z = v0
   2'(z) -{ 0 }-> 1 + x0 :|: z = x0, x0 >= 0
   3'(z) -{ 1 }-> 3'(3'(3'(2'(0'(2'(1'(1'(2'(3'(1'(1'(3'(0'(3'(1'(1'(3'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   3'(z) -{ 1 }-> 3'(3'(3'(0'(2'(3'(1'(0'(1'(3'(2'(3'(3'(3'(3'(0'(0'(3'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   3'(z) -{ 1 }-> 3'(3'(2'(2'(3'(3'(2'(3'(0'(0'(3'(2'(2'(1'(0'(3'(2'(3'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   3'(z) -{ 2 }-> 3'(3'(1'(1'(0'(1'(3'(3'(0'(3'(3'(0'(2'(2'(3'(1'(0'(2'(1'(1'(1'(1'(0'(3'(1'(1'(1'(2'(0'(3'(1'(0'(2'(2'(2'(x1984))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1984))))))))))))))))))))))))))))))))), x1984 >= 0
   3'(z) -{ 2 }-> 3'(3'(1'(1'(0'(1'(3'(3'(0'(3'(3'(0'(2'(2'(3'(1'(0'(0'(3'(2'(2'(0'(2'(2'(2'(2'(0'(3'(0'(1'(0'(1'(1'(0'(3'(x1990))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1990))))))))))))))))))))))))))))))))), x1990 >= 0
   3'(z) -{ 2 }-> 3'(3'(1'(1'(0'(1'(3'(3'(0'(3'(3'(0'(2'(2'(3'(1'(0'(0'(3'(2'(0'(0'(1'(2'(1'(0'(2'(1'(1'(3'(1'(0'(0'(2'(3'(x1987))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1987))))))))))))))))))))))))))))))))), x1987 >= 0
   3'(z) -{ 2 }-> 3'(3'(1'(1'(0'(1'(3'(3'(0'(3'(3'(0'(2'(2'(3'(1'(0'(0'(2'(3'(3'(1'(2'(1'(1'(1'(0'(2'(3'(1'(0'(2'(0'(3'(3'(x1991))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1991))))))))))))))))))))))))))))))))), x1991 >= 0
   3'(z) -{ 2 }-> 3'(3'(1'(1'(0'(1'(3'(3'(0'(3'(3'(0'(2'(2'(3'(1'(0'(0'(2'(2'(0'(3'(3'(1'(0'(0'(3'(0'(2'(1'(1'(0'(1'(2'(0'(x1989))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1989))))))))))))))))))))))))))))))))), x1989 >= 0
   3'(z) -{ 2 }-> 3'(3'(1'(1'(0'(1'(3'(3'(0'(3'(3'(0'(2'(2'(3'(1'(0'(0'(2'(2'(0'(0'(3'(0'(2'(3'(1'(0'(3'(1'(0'(3'(2'(3'(1'(x1985))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1985))))))))))))))))))))))))))))))))), x1985 >= 0
   3'(z) -{ 2 }-> 3'(3'(1'(1'(0'(1'(3'(3'(0'(3'(3'(0'(2'(2'(3'(1'(0'(0'(2'(0'(1'(3'(1'(1'(2'(1'(0'(0'(3'(3'(0'(0'(1'(3'(1'(x1992))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1992))))))))))))))))))))))))))))))))), x1992 >= 0
   3'(z) -{ 2 }-> 3'(3'(1'(1'(0'(1'(3'(3'(0'(3'(3'(0'(2'(2'(3'(1'(0'(0'(2'(0'(0'(0'(2'(0'(3'(0'(2'(2'(0'(1'(1'(3'(2'(2'(0'(x1982))))))))))))))))))))))))))))))))))) :|: x1982 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1982)))))))))))))))))))))))))))))))))
   3'(z) -{ 2 }-> 3'(3'(1'(1'(0'(1'(3'(3'(0'(3'(3'(0'(2'(2'(3'(1'(0'(0'(0'(3'(1'(0'(3'(0'(0'(3'(3'(0'(3'(3'(0'(0'(2'(0'(2'(x1983))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1983))))))))))))))))))))))))))))))))), x1983 >= 0
   3'(z) -{ 2 }-> 3'(3'(1'(1'(0'(1'(3'(3'(0'(3'(3'(0'(2'(2'(3'(1'(0'(0'(0'(3'(1'(0'(0'(0'(0'(2'(0'(0'(0'(3'(1'(0'(0'(0'(0'(x1988))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1988))))))))))))))))))))))))))))))))), x1988 >= 0
   3'(z) -{ 2 }-> 3'(3'(1'(1'(0'(1'(3'(3'(0'(3'(3'(0'(2'(2'(3'(1'(0'(0'(0'(0'(1'(1'(1'(0'(1'(3'(3'(1'(0'(3'(2'(0'(2'(3'(1'(x1986))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1986))))))))))))))))))))))))))))))))), x1986 >= 0
   3'(z) -{ 1 }-> 3'(3'(1'(1'(0'(1'(3'(3'(0'(3'(3'(0'(2'(2'(3'(1'(0'(0))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   3'(z) -{ 1 }-> 3'(3'(1'(1'(0'(1'(3'(3'(0'(3'(3'(0'(2'(2'(3'(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) -{ 2 }-> 3'(3'(1'(1'(0'(1'(0'(2'(0'(1'(1'(2'(3'(3'(2'(2'(3'(2'(1'(1'(1'(1'(0'(3'(1'(1'(1'(2'(0'(3'(1'(0'(2'(2'(2'(x11396))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11396))))))))))))))))))))))))))))))))), x11396 >= 0
   3'(z) -{ 2 }-> 3'(3'(1'(1'(0'(1'(0'(2'(0'(1'(1'(2'(3'(3'(2'(2'(3'(0'(3'(2'(2'(0'(2'(2'(2'(2'(0'(3'(0'(1'(0'(1'(1'(0'(3'(x11402))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11402))))))))))))))))))))))))))))))))), x11402 >= 0
   3'(z) -{ 2 }-> 3'(3'(1'(1'(0'(1'(0'(2'(0'(1'(1'(2'(3'(3'(2'(2'(3'(0'(3'(2'(0'(0'(1'(2'(1'(0'(2'(1'(1'(3'(1'(0'(0'(2'(3'(x11399))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11399))))))))))))))))))))))))))))))))), x11399 >= 0
   3'(z) -{ 2 }-> 3'(3'(1'(1'(0'(1'(0'(2'(0'(1'(1'(2'(3'(3'(2'(2'(3'(0'(2'(3'(3'(1'(2'(1'(1'(1'(0'(2'(3'(1'(0'(2'(0'(3'(3'(x11403))))))))))))))))))))))))))))))))))) :|: x11403 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11403)))))))))))))))))))))))))))))))))
   3'(z) -{ 2 }-> 3'(3'(1'(1'(0'(1'(0'(2'(0'(1'(1'(2'(3'(3'(2'(2'(3'(0'(2'(2'(0'(3'(3'(1'(0'(0'(3'(0'(2'(1'(1'(0'(1'(2'(0'(x11401))))))))))))))))))))))))))))))))))) :|: x11401 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11401)))))))))))))))))))))))))))))))))
   3'(z) -{ 2 }-> 3'(3'(1'(1'(0'(1'(0'(2'(0'(1'(1'(2'(3'(3'(2'(2'(3'(0'(2'(2'(0'(0'(3'(0'(2'(3'(1'(0'(3'(1'(0'(3'(2'(3'(1'(x11397))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11397))))))))))))))))))))))))))))))))), x11397 >= 0
   3'(z) -{ 2 }-> 3'(3'(1'(1'(0'(1'(0'(2'(0'(1'(1'(2'(3'(3'(2'(2'(3'(0'(2'(0'(1'(3'(1'(1'(2'(1'(0'(0'(3'(3'(0'(0'(1'(3'(1'(x11404))))))))))))))))))))))))))))))))))) :|: x11404 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11404)))))))))))))))))))))))))))))))))
   3'(z) -{ 2 }-> 3'(3'(1'(1'(0'(1'(0'(2'(0'(1'(1'(2'(3'(3'(2'(2'(3'(0'(2'(0'(0'(0'(2'(0'(3'(0'(2'(2'(0'(1'(1'(3'(2'(2'(0'(x11394))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11394))))))))))))))))))))))))))))))))), x11394 >= 0
   3'(z) -{ 2 }-> 3'(3'(1'(1'(0'(1'(0'(2'(0'(1'(1'(2'(3'(3'(2'(2'(3'(0'(0'(3'(1'(0'(3'(0'(0'(3'(3'(0'(3'(3'(0'(0'(2'(0'(2'(x11395))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11395))))))))))))))))))))))))))))))))), x11395 >= 0
   3'(z) -{ 2 }-> 3'(3'(1'(1'(0'(1'(0'(2'(0'(1'(1'(2'(3'(3'(2'(2'(3'(0'(0'(3'(1'(0'(0'(0'(0'(2'(0'(0'(0'(3'(1'(0'(0'(0'(0'(x11400))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11400))))))))))))))))))))))))))))))))), x11400 >= 0
   3'(z) -{ 2 }-> 3'(3'(1'(1'(0'(1'(0'(2'(0'(1'(1'(2'(3'(3'(2'(2'(3'(0'(0'(0'(1'(1'(1'(0'(1'(3'(3'(1'(0'(3'(2'(0'(2'(3'(1'(x11398))))))))))))))))))))))))))))))))))) :|: x11398 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11398)))))))))))))))))))))))))))))))))
   3'(z) -{ 1 }-> 3'(3'(1'(1'(0'(1'(0'(2'(0'(1'(1'(2'(3'(3'(2'(2'(3'(0))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   3'(z) -{ 1 }-> 3'(3'(1'(1'(0'(1'(0'(2'(0'(1'(1'(2'(3'(3'(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'(3'(1'(0'(2'(0'(2'(0'(2'(0'(2'(3'(1'(1'(3'(1'(0'(2'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   3'(z) -{ 1 }-> 3'(2'(3'(3'(0'(3'(1'(1'(0'(2'(2'(3'(1'(2'(1'(1'(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'(2'(3'(2'(0'(3'(1'(2'(1'(1'(1'(2'(0'(0'(0'(2'(2'(2'(1'(1'(1'(1'(0'(3'(1'(1'(1'(2'(0'(3'(1'(0'(2'(2'(2'(x1909))))))))))))))))))))))))))))))))))) :|: x1909 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1909)))))))))))))))))))))))))))))))))
   3'(z) -{ 2 }-> 3'(2'(3'(2'(0'(3'(1'(2'(1'(1'(1'(2'(0'(0'(0'(2'(2'(0'(3'(2'(2'(0'(2'(2'(2'(2'(0'(3'(0'(1'(0'(1'(1'(0'(3'(x1915))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1915))))))))))))))))))))))))))))))))), x1915 >= 0
   3'(z) -{ 2 }-> 3'(2'(3'(2'(0'(3'(1'(2'(1'(1'(1'(2'(0'(0'(0'(2'(2'(0'(3'(2'(0'(0'(1'(2'(1'(0'(2'(1'(1'(3'(1'(0'(0'(2'(3'(x1912))))))))))))))))))))))))))))))))))) :|: x1912 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1912)))))))))))))))))))))))))))))))))
   3'(z) -{ 2 }-> 3'(2'(3'(2'(0'(3'(1'(2'(1'(1'(1'(2'(0'(0'(0'(2'(2'(0'(2'(3'(3'(1'(2'(1'(1'(1'(0'(2'(3'(1'(0'(2'(0'(3'(3'(x1916))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1916))))))))))))))))))))))))))))))))), x1916 >= 0
   3'(z) -{ 2 }-> 3'(2'(3'(2'(0'(3'(1'(2'(1'(1'(1'(2'(0'(0'(0'(2'(2'(0'(2'(2'(0'(3'(3'(1'(0'(0'(3'(0'(2'(1'(1'(0'(1'(2'(0'(x1914))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1914))))))))))))))))))))))))))))))))), x1914 >= 0
   3'(z) -{ 2 }-> 3'(2'(3'(2'(0'(3'(1'(2'(1'(1'(1'(2'(0'(0'(0'(2'(2'(0'(2'(2'(0'(0'(3'(0'(2'(3'(1'(0'(3'(1'(0'(3'(2'(3'(1'(x1910))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1910))))))))))))))))))))))))))))))))), x1910 >= 0
   3'(z) -{ 2 }-> 3'(2'(3'(2'(0'(3'(1'(2'(1'(1'(1'(2'(0'(0'(0'(2'(2'(0'(2'(0'(1'(3'(1'(1'(2'(1'(0'(0'(3'(3'(0'(0'(1'(3'(1'(x1917))))))))))))))))))))))))))))))))))) :|: x1917 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1917)))))))))))))))))))))))))))))))))
   3'(z) -{ 2 }-> 3'(2'(3'(2'(0'(3'(1'(2'(1'(1'(1'(2'(0'(0'(0'(2'(2'(0'(2'(0'(0'(0'(2'(0'(3'(0'(2'(2'(0'(1'(1'(3'(2'(2'(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
   3'(z) -{ 2 }-> 3'(2'(3'(2'(0'(3'(1'(2'(1'(1'(1'(2'(0'(0'(0'(2'(2'(0'(0'(3'(1'(0'(3'(0'(0'(3'(3'(0'(3'(3'(0'(0'(2'(0'(2'(x1908))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1908))))))))))))))))))))))))))))))))), x1908 >= 0
   3'(z) -{ 2 }-> 3'(2'(3'(2'(0'(3'(1'(2'(1'(1'(1'(2'(0'(0'(0'(2'(2'(0'(0'(3'(1'(0'(0'(0'(0'(2'(0'(0'(0'(3'(1'(0'(0'(0'(0'(x1913))))))))))))))))))))))))))))))))))) :|: x1913 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1913)))))))))))))))))))))))))))))))))
   3'(z) -{ 2 }-> 3'(2'(3'(2'(0'(3'(1'(2'(1'(1'(1'(2'(0'(0'(0'(2'(2'(0'(0'(0'(1'(1'(1'(0'(1'(3'(3'(1'(0'(3'(2'(0'(2'(3'(1'(x1911))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1911))))))))))))))))))))))))))))))))), x1911 >= 0
   3'(z) -{ 1 }-> 3'(2'(3'(2'(0'(3'(1'(2'(1'(1'(1'(2'(0'(0'(0'(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'(3'(2'(0'(3'(1'(2'(1'(1'(1'(2'(0'(0'(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
   3'(z) -{ 1 }-> 3'(2'(3'(2'(0'(3'(1'(1'(2'(3'(2'(0'(1'(3'(1'(1'(1'(3'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   3'(z) -{ 1 }-> 3'(2'(3'(1'(0'(3'(2'(1'(2'(3'(3'(3'(0'(0'(3'(3'(2'(2'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   3'(z) -{ 2 }-> 3'(2'(2'(1'(2'(2'(2'(3'(2'(3'(3'(1'(1'(3'(3'(0'(2'(3'(3'(0'(3'(1'(0'(3'(2'(3'(2'(2'(0'(3'(2'(1'(1'(0'(3'(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'(2'(2'(1'(2'(2'(2'(3'(2'(3'(3'(1'(1'(3'(3'(0'(2'(3'(0'(1'(1'(1'(1'(3'(0'(3'(1'(1'(0'(3'(0'(2'(3'(3'(3'(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'(2'(2'(1'(2'(2'(2'(3'(2'(3'(3'(1'(1'(3'(3'(0'(2'(2'(3'(2'(1'(1'(2'(2'(1'(3'(1'(0'(2'(1'(1'(1'(0'(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'(2'(2'(1'(2'(2'(2'(3'(2'(3'(3'(1'(1'(3'(3'(0'(2'(2'(3'(1'(0'(3'(1'(0'(2'(3'(3'(2'(2'(0'(0'(3'(1'(2'(2'(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) -{ 2 }-> 3'(2'(2'(1'(2'(2'(2'(3'(2'(3'(3'(1'(1'(3'(3'(0'(2'(1'(3'(2'(0'(1'(0'(2'(2'(2'(2'(2'(1'(0'(3'(3'(3'(2'(3'(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'(2'(2'(1'(2'(2'(2'(3'(2'(3'(3'(1'(1'(3'(3'(0'(2'(1'(3'(1'(3'(0'(1'(1'(3'(2'(3'(2'(2'(0'(3'(1'(1'(1'(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) -{ 2 }-> 3'(2'(2'(1'(2'(2'(2'(3'(2'(3'(3'(1'(1'(3'(3'(0'(2'(1'(3'(1'(1'(0'(3'(3'(0'(2'(0'(1'(3'(0'(3'(2'(3'(2'(2'(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'(2'(2'(1'(2'(2'(2'(3'(2'(3'(3'(1'(1'(3'(3'(0'(2'(1'(2'(2'(0'(1'(1'(1'(1'(0'(0'(3'(2'(1'(0'(2'(3'(1'(1'(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 }-> 3'(2'(2'(1'(2'(2'(2'(3'(2'(3'(3'(1'(1'(3'(3'(0'(2'(1'(1'(2'(3'(3'(0'(0'(3'(3'(1'(1'(1'(1'(1'(0'(2'(2'(1'(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 }-> 3'(2'(2'(1'(2'(2'(2'(3'(2'(3'(3'(1'(1'(3'(3'(0'(2'(1'(0'(3'(3'(1'(0'(2'(0'(3'(1'(0'(3'(2'(1'(2'(2'(1'(0'(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 }-> 3'(2'(2'(1'(2'(2'(2'(3'(2'(3'(3'(1'(1'(3'(3'(0'(2'(1'(0'(3'(3'(0'(3'(3'(1'(0'(2'(3'(1'(1'(3'(2'(3'(2'(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'(2'(2'(1'(2'(2'(2'(3'(2'(3'(3'(1'(1'(3'(3'(0'(2'(1'(0'(3'(1'(1'(2'(2'(3'(2'(3'(1'(1'(3'(1'(1'(0'(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'(2'(2'(1'(2'(2'(2'(3'(2'(3'(3'(1'(1'(3'(3'(0'(2'(1'(0'(3'(0'(0'(3'(3'(0'(0'(2'(1'(0'(3'(1'(2'(3'(1'(1'(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 }-> 3'(2'(2'(1'(2'(2'(2'(3'(2'(3'(3'(1'(1'(3'(3'(0'(2'(1'(0'(1'(0'(3'(1'(3'(1'(0'(1'(1'(3'(2'(3'(0'(2'(1'(1'(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) -{ 1 }-> 3'(2'(2'(1'(2'(2'(2'(3'(2'(3'(3'(1'(1'(3'(3'(0'(2'(0))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   3'(z) -{ 1 }-> 3'(2'(2'(1'(2'(2'(2'(3'(2'(3'(3'(1'(1'(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
   3'(z) -{ 1 }-> 3'(2'(2'(0'(1'(1'(1'(1'(1'(0'(0'(0'(3'(2'(2'(1'(3'(2'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   3'(z) -{ 2 }-> 3'(2'(1'(3'(2'(3'(2'(0'(3'(2'(2'(3'(2'(3'(1'(1'(2'(2'(1'(1'(1'(1'(0'(3'(1'(1'(1'(2'(0'(3'(1'(0'(2'(2'(2'(x1240))))))))))))))))))))))))))))))))))) :|: x1240 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1240)))))))))))))))))))))))))))))))))
   3'(z) -{ 2 }-> 3'(2'(1'(3'(2'(3'(2'(0'(3'(2'(2'(3'(2'(3'(1'(1'(2'(0'(3'(2'(2'(0'(2'(2'(2'(2'(0'(3'(0'(1'(0'(1'(1'(0'(3'(x1246))))))))))))))))))))))))))))))))))) :|: x1246 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1246)))))))))))))))))))))))))))))))))
   3'(z) -{ 2 }-> 3'(2'(1'(3'(2'(3'(2'(0'(3'(2'(2'(3'(2'(3'(1'(1'(2'(0'(3'(2'(0'(0'(1'(2'(1'(0'(2'(1'(1'(3'(1'(0'(0'(2'(3'(x1243))))))))))))))))))))))))))))))))))) :|: x1243 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1243)))))))))))))))))))))))))))))))))
   3'(z) -{ 2 }-> 3'(2'(1'(3'(2'(3'(2'(0'(3'(2'(2'(3'(2'(3'(1'(1'(2'(0'(2'(3'(3'(1'(2'(1'(1'(1'(0'(2'(3'(1'(0'(2'(0'(3'(3'(x1247))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1247))))))))))))))))))))))))))))))))), x1247 >= 0
   3'(z) -{ 2 }-> 3'(2'(1'(3'(2'(3'(2'(0'(3'(2'(2'(3'(2'(3'(1'(1'(2'(0'(2'(2'(0'(3'(3'(1'(0'(0'(3'(0'(2'(1'(1'(0'(1'(2'(0'(x1245))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1245))))))))))))))))))))))))))))))))), x1245 >= 0
   3'(z) -{ 2 }-> 3'(2'(1'(3'(2'(3'(2'(0'(3'(2'(2'(3'(2'(3'(1'(1'(2'(0'(2'(2'(0'(0'(3'(0'(2'(3'(1'(0'(3'(1'(0'(3'(2'(3'(1'(x1241))))))))))))))))))))))))))))))))))) :|: x1241 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1241)))))))))))))))))))))))))))))))))
   3'(z) -{ 2 }-> 3'(2'(1'(3'(2'(3'(2'(0'(3'(2'(2'(3'(2'(3'(1'(1'(2'(0'(2'(0'(1'(3'(1'(1'(2'(1'(0'(0'(3'(3'(0'(0'(1'(3'(1'(x1248))))))))))))))))))))))))))))))))))) :|: x1248 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1248)))))))))))))))))))))))))))))))))
   3'(z) -{ 2 }-> 3'(2'(1'(3'(2'(3'(2'(0'(3'(2'(2'(3'(2'(3'(1'(1'(2'(0'(2'(0'(0'(0'(2'(0'(3'(0'(2'(2'(0'(1'(1'(3'(2'(2'(0'(x1238))))))))))))))))))))))))))))))))))) :|: x1238 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1238)))))))))))))))))))))))))))))))))
   3'(z) -{ 2 }-> 3'(2'(1'(3'(2'(3'(2'(0'(3'(2'(2'(3'(2'(3'(1'(1'(2'(0'(0'(3'(1'(0'(3'(0'(0'(3'(3'(0'(3'(3'(0'(0'(2'(0'(2'(x1239))))))))))))))))))))))))))))))))))) :|: x1239 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1239)))))))))))))))))))))))))))))))))
   3'(z) -{ 2 }-> 3'(2'(1'(3'(2'(3'(2'(0'(3'(2'(2'(3'(2'(3'(1'(1'(2'(0'(0'(3'(1'(0'(0'(0'(0'(2'(0'(0'(0'(3'(1'(0'(0'(0'(0'(x1244))))))))))))))))))))))))))))))))))) :|: x1244 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1244)))))))))))))))))))))))))))))))))
   3'(z) -{ 2 }-> 3'(2'(1'(3'(2'(3'(2'(0'(3'(2'(2'(3'(2'(3'(1'(1'(2'(0'(0'(0'(1'(1'(1'(0'(1'(3'(3'(1'(0'(3'(2'(0'(2'(3'(1'(x1242))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1242))))))))))))))))))))))))))))))))), x1242 >= 0
   3'(z) -{ 1 }-> 3'(2'(1'(3'(2'(3'(2'(0'(3'(2'(2'(3'(2'(3'(1'(1'(2'(0))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   3'(z) -{ 1 }-> 3'(2'(1'(3'(2'(3'(2'(0'(3'(2'(2'(3'(2'(3'(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 }-> 3'(2'(1'(0'(0'(3'(0'(2'(3'(2'(2'(0'(2'(2'(3'(2'(2'(2'(1'(1'(1'(1'(0'(3'(1'(1'(1'(2'(0'(3'(1'(0'(2'(2'(2'(x11029))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11029))))))))))))))))))))))))))))))))), x11029 >= 0
   3'(z) -{ 2 }-> 3'(2'(1'(0'(0'(3'(0'(2'(3'(2'(2'(0'(2'(2'(3'(2'(2'(0'(3'(2'(2'(0'(2'(2'(2'(2'(0'(3'(0'(1'(0'(1'(1'(0'(3'(x11035))))))))))))))))))))))))))))))))))) :|: x11035 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11035)))))))))))))))))))))))))))))))))
   3'(z) -{ 2 }-> 3'(2'(1'(0'(0'(3'(0'(2'(3'(2'(2'(0'(2'(2'(3'(2'(2'(0'(3'(2'(0'(0'(1'(2'(1'(0'(2'(1'(1'(3'(1'(0'(0'(2'(3'(x11032))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11032))))))))))))))))))))))))))))))))), x11032 >= 0
   3'(z) -{ 2 }-> 3'(2'(1'(0'(0'(3'(0'(2'(3'(2'(2'(0'(2'(2'(3'(2'(2'(0'(2'(3'(3'(1'(2'(1'(1'(1'(0'(2'(3'(1'(0'(2'(0'(3'(3'(x11036))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11036))))))))))))))))))))))))))))))))), x11036 >= 0
   3'(z) -{ 2 }-> 3'(2'(1'(0'(0'(3'(0'(2'(3'(2'(2'(0'(2'(2'(3'(2'(2'(0'(2'(2'(0'(3'(3'(1'(0'(0'(3'(0'(2'(1'(1'(0'(1'(2'(0'(x11034))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11034))))))))))))))))))))))))))))))))), x11034 >= 0
   3'(z) -{ 2 }-> 3'(2'(1'(0'(0'(3'(0'(2'(3'(2'(2'(0'(2'(2'(3'(2'(2'(0'(2'(2'(0'(0'(3'(0'(2'(3'(1'(0'(3'(1'(0'(3'(2'(3'(1'(x11030))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11030))))))))))))))))))))))))))))))))), x11030 >= 0
   3'(z) -{ 2 }-> 3'(2'(1'(0'(0'(3'(0'(2'(3'(2'(2'(0'(2'(2'(3'(2'(2'(0'(2'(0'(1'(3'(1'(1'(2'(1'(0'(0'(3'(3'(0'(0'(1'(3'(1'(x11037))))))))))))))))))))))))))))))))))) :|: x11037 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11037)))))))))))))))))))))))))))))))))
   3'(z) -{ 2 }-> 3'(2'(1'(0'(0'(3'(0'(2'(3'(2'(2'(0'(2'(2'(3'(2'(2'(0'(2'(0'(0'(0'(2'(0'(3'(0'(2'(2'(0'(1'(1'(3'(2'(2'(0'(x11027))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11027))))))))))))))))))))))))))))))))), x11027 >= 0
   3'(z) -{ 2 }-> 3'(2'(1'(0'(0'(3'(0'(2'(3'(2'(2'(0'(2'(2'(3'(2'(2'(0'(0'(3'(1'(0'(3'(0'(0'(3'(3'(0'(3'(3'(0'(0'(2'(0'(2'(x11028))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11028))))))))))))))))))))))))))))))))), x11028 >= 0
   3'(z) -{ 2 }-> 3'(2'(1'(0'(0'(3'(0'(2'(3'(2'(2'(0'(2'(2'(3'(2'(2'(0'(0'(3'(1'(0'(0'(0'(0'(2'(0'(0'(0'(3'(1'(0'(0'(0'(0'(x11033))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11033))))))))))))))))))))))))))))))))), x11033 >= 0
   3'(z) -{ 2 }-> 3'(2'(1'(0'(0'(3'(0'(2'(3'(2'(2'(0'(2'(2'(3'(2'(2'(0'(0'(0'(1'(1'(1'(0'(1'(3'(3'(1'(0'(3'(2'(0'(2'(3'(1'(x11031))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11031))))))))))))))))))))))))))))))))), x11031 >= 0
   3'(z) -{ 1 }-> 3'(2'(1'(0'(0'(3'(0'(2'(3'(2'(2'(0'(2'(2'(3'(2'(2'(0))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   3'(z) -{ 1 }-> 3'(2'(1'(0'(0'(3'(0'(2'(3'(2'(2'(0'(2'(2'(3'(2'(2'(1 + x1))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   3'(z) -{ 2 }-> 3'(2'(0'(3'(0'(1'(1'(1'(0'(1'(1'(0'(3'(0'(3'(2'(3'(3'(3'(0'(3'(1'(0'(3'(2'(3'(2'(2'(0'(3'(2'(1'(1'(0'(3'(x1170))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1170))))))))))))))))))))))))))))))))), x1170 >= 0
   3'(z) -{ 2 }-> 3'(2'(0'(3'(0'(1'(1'(1'(0'(1'(1'(0'(3'(0'(3'(2'(3'(3'(0'(1'(1'(1'(1'(3'(0'(3'(1'(1'(0'(3'(0'(2'(3'(3'(3'(x1165))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1165))))))))))))))))))))))))))))))))), x1165 >= 0
   3'(z) -{ 2 }-> 3'(2'(0'(3'(0'(1'(1'(1'(0'(1'(1'(0'(3'(0'(3'(2'(3'(2'(3'(2'(1'(1'(2'(2'(1'(3'(1'(0'(2'(1'(1'(1'(0'(3'(3'(x1166))))))))))))))))))))))))))))))))))) :|: x1166 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1166)))))))))))))))))))))))))))))))))
   3'(z) -{ 2 }-> 3'(2'(0'(3'(0'(1'(1'(1'(0'(1'(1'(0'(3'(0'(3'(2'(3'(2'(3'(1'(0'(3'(1'(0'(2'(3'(3'(2'(2'(0'(0'(3'(1'(2'(2'(x1167))))))))))))))))))))))))))))))))))) :|: x1167 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1167)))))))))))))))))))))))))))))))))
   3'(z) -{ 2 }-> 3'(2'(0'(3'(0'(1'(1'(1'(0'(1'(1'(0'(3'(0'(3'(2'(3'(1'(3'(2'(0'(1'(0'(2'(2'(2'(2'(2'(1'(0'(3'(3'(3'(2'(3'(x1169))))))))))))))))))))))))))))))))))) :|: x1169 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1169)))))))))))))))))))))))))))))))))
   3'(z) -{ 2 }-> 3'(2'(0'(3'(0'(1'(1'(1'(0'(1'(1'(0'(3'(0'(3'(2'(3'(1'(3'(1'(3'(0'(1'(1'(3'(2'(3'(2'(2'(0'(3'(1'(1'(1'(1'(x1158))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1158))))))))))))))))))))))))))))))))), x1158 >= 0
   3'(z) -{ 2 }-> 3'(2'(0'(3'(0'(1'(1'(1'(0'(1'(1'(0'(3'(0'(3'(2'(3'(1'(3'(1'(1'(0'(3'(3'(0'(2'(0'(1'(3'(0'(3'(2'(3'(2'(2'(x1164))))))))))))))))))))))))))))))))))) :|: x1164 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1164)))))))))))))))))))))))))))))))))
   3'(z) -{ 2 }-> 3'(2'(0'(3'(0'(1'(1'(1'(0'(1'(1'(0'(3'(0'(3'(2'(3'(1'(2'(2'(0'(1'(1'(1'(1'(0'(0'(3'(2'(1'(0'(2'(3'(1'(1'(x1159))))))))))))))))))))))))))))))))))) :|: x1159 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1159)))))))))))))))))))))))))))))))))
   3'(z) -{ 2 }-> 3'(2'(0'(3'(0'(1'(1'(1'(0'(1'(1'(0'(3'(0'(3'(2'(3'(1'(1'(2'(3'(3'(0'(0'(3'(3'(1'(1'(1'(1'(1'(0'(2'(2'(1'(x1161))))))))))))))))))))))))))))))))))) :|: x1161 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1161)))))))))))))))))))))))))))))))))
   3'(z) -{ 2 }-> 3'(2'(0'(3'(0'(1'(1'(1'(0'(1'(1'(0'(3'(0'(3'(2'(3'(1'(0'(3'(3'(1'(0'(2'(0'(3'(1'(0'(3'(2'(1'(2'(2'(1'(0'(x1160))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1160))))))))))))))))))))))))))))))))), x1160 >= 0
   3'(z) -{ 2 }-> 3'(2'(0'(3'(0'(1'(1'(1'(0'(1'(1'(0'(3'(0'(3'(2'(3'(1'(0'(3'(3'(0'(3'(3'(1'(0'(2'(3'(1'(1'(3'(2'(3'(2'(3'(x1162))))))))))))))))))))))))))))))))))) :|: x1162 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1162)))))))))))))))))))))))))))))))))
   3'(z) -{ 2 }-> 3'(2'(0'(3'(0'(1'(1'(1'(0'(1'(1'(0'(3'(0'(3'(2'(3'(1'(0'(3'(1'(1'(2'(2'(3'(2'(3'(1'(1'(3'(1'(1'(0'(3'(3'(x1168))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1168))))))))))))))))))))))))))))))))), x1168 >= 0
   3'(z) -{ 2 }-> 3'(2'(0'(3'(0'(1'(1'(1'(0'(1'(1'(0'(3'(0'(3'(2'(3'(1'(0'(3'(0'(0'(3'(3'(0'(0'(2'(1'(0'(3'(1'(2'(3'(1'(1'(x1157))))))))))))))))))))))))))))))))))) :|: x1157 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1157)))))))))))))))))))))))))))))))))
   3'(z) -{ 2 }-> 3'(2'(0'(3'(0'(1'(1'(1'(0'(1'(1'(0'(3'(0'(3'(2'(3'(1'(0'(1'(0'(3'(1'(3'(1'(0'(1'(1'(3'(2'(3'(0'(2'(1'(1'(x1163))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1163))))))))))))))))))))))))))))))))), x1163 >= 0
   3'(z) -{ 1 }-> 3'(2'(0'(3'(0'(1'(1'(1'(0'(1'(1'(0'(3'(0'(3'(2'(3'(0))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   3'(z) -{ 1 }-> 3'(2'(0'(3'(0'(1'(1'(1'(0'(1'(1'(0'(3'(0'(3'(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'(1'(3'(2'(1'(1'(3'(2'(0'(0'(0'(3'(2'(2'(2'(3'(2'(3'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   3'(z) -{ 2 }-> 3'(1'(1'(1'(3'(0'(1'(3'(0'(2'(3'(2'(3'(0'(3'(2'(3'(2'(1'(1'(1'(1'(0'(3'(1'(1'(1'(2'(0'(3'(1'(0'(2'(2'(2'(x11104))))))))))))))))))))))))))))))))))) :|: x11104 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11104)))))))))))))))))))))))))))))))))
   3'(z) -{ 2 }-> 3'(1'(1'(1'(3'(0'(1'(3'(0'(2'(3'(2'(3'(0'(3'(2'(3'(0'(3'(2'(2'(0'(2'(2'(2'(2'(0'(3'(0'(1'(0'(1'(1'(0'(3'(x11110))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11110))))))))))))))))))))))))))))))))), x11110 >= 0
   3'(z) -{ 2 }-> 3'(1'(1'(1'(3'(0'(1'(3'(0'(2'(3'(2'(3'(0'(3'(2'(3'(0'(3'(2'(0'(0'(1'(2'(1'(0'(2'(1'(1'(3'(1'(0'(0'(2'(3'(x11107))))))))))))))))))))))))))))))))))) :|: x11107 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11107)))))))))))))))))))))))))))))))))
   3'(z) -{ 2 }-> 3'(1'(1'(1'(3'(0'(1'(3'(0'(2'(3'(2'(3'(0'(3'(2'(3'(0'(2'(3'(3'(1'(2'(1'(1'(1'(0'(2'(3'(1'(0'(2'(0'(3'(3'(x11111))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11111))))))))))))))))))))))))))))))))), x11111 >= 0
   3'(z) -{ 2 }-> 3'(1'(1'(1'(3'(0'(1'(3'(0'(2'(3'(2'(3'(0'(3'(2'(3'(0'(2'(2'(0'(3'(3'(1'(0'(0'(3'(0'(2'(1'(1'(0'(1'(2'(0'(x11109))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11109))))))))))))))))))))))))))))))))), x11109 >= 0
   3'(z) -{ 2 }-> 3'(1'(1'(1'(3'(0'(1'(3'(0'(2'(3'(2'(3'(0'(3'(2'(3'(0'(2'(2'(0'(0'(3'(0'(2'(3'(1'(0'(3'(1'(0'(3'(2'(3'(1'(x11105))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11105))))))))))))))))))))))))))))))))), x11105 >= 0
   3'(z) -{ 2 }-> 3'(1'(1'(1'(3'(0'(1'(3'(0'(2'(3'(2'(3'(0'(3'(2'(3'(0'(2'(0'(1'(3'(1'(1'(2'(1'(0'(0'(3'(3'(0'(0'(1'(3'(1'(x11112))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11112))))))))))))))))))))))))))))))))), x11112 >= 0
   3'(z) -{ 2 }-> 3'(1'(1'(1'(3'(0'(1'(3'(0'(2'(3'(2'(3'(0'(3'(2'(3'(0'(2'(0'(0'(0'(2'(0'(3'(0'(2'(2'(0'(1'(1'(3'(2'(2'(0'(x11102))))))))))))))))))))))))))))))))))) :|: x11102 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11102)))))))))))))))))))))))))))))))))
   3'(z) -{ 2 }-> 3'(1'(1'(1'(3'(0'(1'(3'(0'(2'(3'(2'(3'(0'(3'(2'(3'(0'(0'(3'(1'(0'(3'(0'(0'(3'(3'(0'(3'(3'(0'(0'(2'(0'(2'(x11103))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11103))))))))))))))))))))))))))))))))), x11103 >= 0
   3'(z) -{ 2 }-> 3'(1'(1'(1'(3'(0'(1'(3'(0'(2'(3'(2'(3'(0'(3'(2'(3'(0'(0'(3'(1'(0'(0'(0'(0'(2'(0'(0'(0'(3'(1'(0'(0'(0'(0'(x11108))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11108))))))))))))))))))))))))))))))))), x11108 >= 0
   3'(z) -{ 2 }-> 3'(1'(1'(1'(3'(0'(1'(3'(0'(2'(3'(2'(3'(0'(3'(2'(3'(0'(0'(0'(1'(1'(1'(0'(1'(3'(3'(1'(0'(3'(2'(0'(2'(3'(1'(x11106))))))))))))))))))))))))))))))))))) :|: x11106 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11106)))))))))))))))))))))))))))))))))
   3'(z) -{ 1 }-> 3'(1'(1'(1'(3'(0'(1'(3'(0'(2'(3'(2'(3'(0'(3'(2'(3'(0))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   3'(z) -{ 1 }-> 3'(1'(1'(1'(3'(0'(1'(3'(0'(2'(3'(2'(3'(0'(3'(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'(1'(0'(3'(1'(1'(0'(3'(3'(2'(2'(2'(2'(3'(1'(3'(3'(3'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   3'(z) -{ 2 }-> 3'(1'(0'(0'(0'(3'(1'(1'(0'(3'(1'(2'(1'(2'(2'(3'(2'(2'(1'(1'(1'(1'(0'(3'(1'(1'(1'(2'(0'(3'(1'(0'(2'(2'(2'(x1274))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1274))))))))))))))))))))))))))))))))), x1274 >= 0
   3'(z) -{ 2 }-> 3'(1'(0'(0'(0'(3'(1'(1'(0'(3'(1'(2'(1'(2'(2'(3'(2'(0'(3'(2'(2'(0'(2'(2'(2'(2'(0'(3'(0'(1'(0'(1'(1'(0'(3'(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)))))))))))))))))))))))))))))))))
   3'(z) -{ 2 }-> 3'(1'(0'(0'(0'(3'(1'(1'(0'(3'(1'(2'(1'(2'(2'(3'(2'(0'(3'(2'(0'(0'(1'(2'(1'(0'(2'(1'(1'(3'(1'(0'(0'(2'(3'(x1277))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1277))))))))))))))))))))))))))))))))), x1277 >= 0
   3'(z) -{ 2 }-> 3'(1'(0'(0'(0'(3'(1'(1'(0'(3'(1'(2'(1'(2'(2'(3'(2'(0'(2'(3'(3'(1'(2'(1'(1'(1'(0'(2'(3'(1'(0'(2'(0'(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
   3'(z) -{ 2 }-> 3'(1'(0'(0'(0'(3'(1'(1'(0'(3'(1'(2'(1'(2'(2'(3'(2'(0'(2'(2'(0'(3'(3'(1'(0'(0'(3'(0'(2'(1'(1'(0'(1'(2'(0'(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)))))))))))))))))))))))))))))))))
   3'(z) -{ 2 }-> 3'(1'(0'(0'(0'(3'(1'(1'(0'(3'(1'(2'(1'(2'(2'(3'(2'(0'(2'(2'(0'(0'(3'(0'(2'(3'(1'(0'(3'(1'(0'(3'(2'(3'(1'(x1275))))))))))))))))))))))))))))))))))) :|: x1275 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1275)))))))))))))))))))))))))))))))))
   3'(z) -{ 2 }-> 3'(1'(0'(0'(0'(3'(1'(1'(0'(3'(1'(2'(1'(2'(2'(3'(2'(0'(2'(0'(1'(3'(1'(1'(2'(1'(0'(0'(3'(3'(0'(0'(1'(3'(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)))))))))))))))))))))))))))))))))
   3'(z) -{ 2 }-> 3'(1'(0'(0'(0'(3'(1'(1'(0'(3'(1'(2'(1'(2'(2'(3'(2'(0'(2'(0'(0'(0'(2'(0'(3'(0'(2'(2'(0'(1'(1'(3'(2'(2'(0'(x1272))))))))))))))))))))))))))))))))))) :|: x1272 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1272)))))))))))))))))))))))))))))))))
   3'(z) -{ 2 }-> 3'(1'(0'(0'(0'(3'(1'(1'(0'(3'(1'(2'(1'(2'(2'(3'(2'(0'(0'(3'(1'(0'(3'(0'(0'(3'(3'(0'(3'(3'(0'(0'(2'(0'(2'(x1273))))))))))))))))))))))))))))))))))) :|: x1273 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1273)))))))))))))))))))))))))))))))))
   3'(z) -{ 2 }-> 3'(1'(0'(0'(0'(3'(1'(1'(0'(3'(1'(2'(1'(2'(2'(3'(2'(0'(0'(3'(1'(0'(0'(0'(0'(2'(0'(0'(0'(3'(1'(0'(0'(0'(0'(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)))))))))))))))))))))))))))))))))
   3'(z) -{ 2 }-> 3'(1'(0'(0'(0'(3'(1'(1'(0'(3'(1'(2'(1'(2'(2'(3'(2'(0'(0'(0'(1'(1'(1'(0'(1'(3'(3'(1'(0'(3'(2'(0'(2'(3'(1'(x1276))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1276))))))))))))))))))))))))))))))))), x1276 >= 0
   3'(z) -{ 1 }-> 3'(1'(0'(0'(0'(3'(1'(1'(0'(3'(1'(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
   3'(z) -{ 1 }-> 3'(1'(0'(0'(0'(3'(1'(1'(0'(3'(1'(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
   3'(z) -{ 2 }-> 3'(0'(2'(1'(0'(3'(0'(3'(3'(0'(2'(3'(3'(1'(1'(2'(3'(2'(1'(1'(1'(1'(0'(3'(1'(1'(1'(2'(0'(3'(1'(0'(2'(2'(2'(x1229))))))))))))))))))))))))))))))))))) :|: x1229 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1229)))))))))))))))))))))))))))))))))
   3'(z) -{ 2 }-> 3'(0'(2'(1'(0'(3'(0'(3'(3'(0'(2'(3'(3'(1'(1'(2'(3'(0'(3'(2'(2'(0'(2'(2'(2'(2'(0'(3'(0'(1'(0'(1'(1'(0'(3'(x1235))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1235))))))))))))))))))))))))))))))))), x1235 >= 0
   3'(z) -{ 2 }-> 3'(0'(2'(1'(0'(3'(0'(3'(3'(0'(2'(3'(3'(1'(1'(2'(3'(0'(3'(2'(0'(0'(1'(2'(1'(0'(2'(1'(1'(3'(1'(0'(0'(2'(3'(x1232))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1232))))))))))))))))))))))))))))))))), x1232 >= 0
   3'(z) -{ 2 }-> 3'(0'(2'(1'(0'(3'(0'(3'(3'(0'(2'(3'(3'(1'(1'(2'(3'(0'(2'(3'(3'(1'(2'(1'(1'(1'(0'(2'(3'(1'(0'(2'(0'(3'(3'(x1236))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1236))))))))))))))))))))))))))))))))), x1236 >= 0
   3'(z) -{ 2 }-> 3'(0'(2'(1'(0'(3'(0'(3'(3'(0'(2'(3'(3'(1'(1'(2'(3'(0'(2'(2'(0'(3'(3'(1'(0'(0'(3'(0'(2'(1'(1'(0'(1'(2'(0'(x1234))))))))))))))))))))))))))))))))))) :|: x1234 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1234)))))))))))))))))))))))))))))))))
   3'(z) -{ 2 }-> 3'(0'(2'(1'(0'(3'(0'(3'(3'(0'(2'(3'(3'(1'(1'(2'(3'(0'(2'(2'(0'(0'(3'(0'(2'(3'(1'(0'(3'(1'(0'(3'(2'(3'(1'(x1230))))))))))))))))))))))))))))))))))) :|: x1230 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1230)))))))))))))))))))))))))))))))))
   3'(z) -{ 2 }-> 3'(0'(2'(1'(0'(3'(0'(3'(3'(0'(2'(3'(3'(1'(1'(2'(3'(0'(2'(0'(1'(3'(1'(1'(2'(1'(0'(0'(3'(3'(0'(0'(1'(3'(1'(x1237))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1237))))))))))))))))))))))))))))))))), x1237 >= 0
   3'(z) -{ 2 }-> 3'(0'(2'(1'(0'(3'(0'(3'(3'(0'(2'(3'(3'(1'(1'(2'(3'(0'(2'(0'(0'(0'(2'(0'(3'(0'(2'(2'(0'(1'(1'(3'(2'(2'(0'(x1227))))))))))))))))))))))))))))))))))) :|: x1227 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1227)))))))))))))))))))))))))))))))))
   3'(z) -{ 2 }-> 3'(0'(2'(1'(0'(3'(0'(3'(3'(0'(2'(3'(3'(1'(1'(2'(3'(0'(0'(3'(1'(0'(3'(0'(0'(3'(3'(0'(3'(3'(0'(0'(2'(0'(2'(x1228))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1228))))))))))))))))))))))))))))))))), x1228 >= 0
   3'(z) -{ 2 }-> 3'(0'(2'(1'(0'(3'(0'(3'(3'(0'(2'(3'(3'(1'(1'(2'(3'(0'(0'(3'(1'(0'(0'(0'(0'(2'(0'(0'(0'(3'(1'(0'(0'(0'(0'(x1233))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1233))))))))))))))))))))))))))))))))), x1233 >= 0
   3'(z) -{ 2 }-> 3'(0'(2'(1'(0'(3'(0'(3'(3'(0'(2'(3'(3'(1'(1'(2'(3'(0'(0'(0'(1'(1'(1'(0'(1'(3'(3'(1'(0'(3'(2'(0'(2'(3'(1'(x1231))))))))))))))))))))))))))))))))))) :|: x1231 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1231)))))))))))))))))))))))))))))))))
   3'(z) -{ 1 }-> 3'(0'(2'(1'(0'(3'(0'(3'(3'(0'(2'(3'(3'(1'(1'(2'(3'(0))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   3'(z) -{ 1 }-> 3'(0'(2'(1'(0'(3'(0'(3'(3'(0'(2'(3'(3'(1'(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
   3'(z) -{ 1 }-> 3'(0'(0'(2'(1'(1'(0'(1'(0'(3'(2'(1'(0'(0'(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 }-> 2'(3'(3'(0'(1'(1'(1'(0'(2'(1'(2'(3'(3'(0'(3'(3'(2'(3'(3'(0'(3'(1'(0'(3'(2'(3'(2'(2'(0'(3'(2'(1'(1'(0'(3'(x1296))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1296))))))))))))))))))))))))))))))))), x1296 >= 0
   3'(z) -{ 2 }-> 2'(3'(3'(0'(1'(1'(1'(0'(2'(1'(2'(3'(3'(0'(3'(3'(2'(3'(0'(1'(1'(1'(1'(3'(0'(3'(1'(1'(0'(3'(0'(2'(3'(3'(3'(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
   3'(z) -{ 2 }-> 2'(3'(3'(0'(1'(1'(1'(0'(2'(1'(2'(3'(3'(0'(3'(3'(2'(2'(3'(2'(1'(1'(2'(2'(1'(3'(1'(0'(2'(1'(1'(1'(0'(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)))))))))))))))))))))))))))))))))
   3'(z) -{ 2 }-> 2'(3'(3'(0'(1'(1'(1'(0'(2'(1'(2'(3'(3'(0'(3'(3'(2'(2'(3'(1'(0'(3'(1'(0'(2'(3'(3'(2'(2'(0'(0'(3'(1'(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
   3'(z) -{ 2 }-> 2'(3'(3'(0'(1'(1'(1'(0'(2'(1'(2'(3'(3'(0'(3'(3'(2'(1'(3'(2'(0'(1'(0'(2'(2'(2'(2'(2'(1'(0'(3'(3'(3'(2'(3'(x1295))))))))))))))))))))))))))))))))))) :|: x1295 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1295)))))))))))))))))))))))))))))))))
   3'(z) -{ 2 }-> 2'(3'(3'(0'(1'(1'(1'(0'(2'(1'(2'(3'(3'(0'(3'(3'(2'(1'(3'(1'(3'(0'(1'(1'(3'(2'(3'(2'(2'(0'(3'(1'(1'(1'(1'(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
   3'(z) -{ 2 }-> 2'(3'(3'(0'(1'(1'(1'(0'(2'(1'(2'(3'(3'(0'(3'(3'(2'(1'(3'(1'(1'(0'(3'(3'(0'(2'(0'(1'(3'(0'(3'(2'(3'(2'(2'(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
   3'(z) -{ 2 }-> 2'(3'(3'(0'(1'(1'(1'(0'(2'(1'(2'(3'(3'(0'(3'(3'(2'(1'(2'(2'(0'(1'(1'(1'(1'(0'(0'(3'(2'(1'(0'(2'(3'(1'(1'(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)))))))))))))))))))))))))))))))))
   3'(z) -{ 2 }-> 2'(3'(3'(0'(1'(1'(1'(0'(2'(1'(2'(3'(3'(0'(3'(3'(2'(1'(1'(2'(3'(3'(0'(0'(3'(3'(1'(1'(1'(1'(1'(0'(2'(2'(1'(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
   3'(z) -{ 2 }-> 2'(3'(3'(0'(1'(1'(1'(0'(2'(1'(2'(3'(3'(0'(3'(3'(2'(1'(0'(3'(3'(1'(0'(2'(0'(3'(1'(0'(3'(2'(1'(2'(2'(1'(0'(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)))))))))))))))))))))))))))))))))
   3'(z) -{ 2 }-> 2'(3'(3'(0'(1'(1'(1'(0'(2'(1'(2'(3'(3'(0'(3'(3'(2'(1'(0'(3'(3'(0'(3'(3'(1'(0'(2'(3'(1'(1'(3'(2'(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)))))))))))))))))))))))))))))))))
   3'(z) -{ 2 }-> 2'(3'(3'(0'(1'(1'(1'(0'(2'(1'(2'(3'(3'(0'(3'(3'(2'(1'(0'(3'(1'(1'(2'(2'(3'(2'(3'(1'(1'(3'(1'(1'(0'(3'(3'(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
   3'(z) -{ 2 }-> 2'(3'(3'(0'(1'(1'(1'(0'(2'(1'(2'(3'(3'(0'(3'(3'(2'(1'(0'(3'(0'(0'(3'(3'(0'(0'(2'(1'(0'(3'(1'(2'(3'(1'(1'(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)))))))))))))))))))))))))))))))))
   3'(z) -{ 2 }-> 2'(3'(3'(0'(1'(1'(1'(0'(2'(1'(2'(3'(3'(0'(3'(3'(2'(1'(0'(1'(0'(3'(1'(3'(1'(0'(1'(1'(3'(2'(3'(0'(2'(1'(1'(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)))))))))))))))))))))))))))))))))
   3'(z) -{ 1 }-> 2'(3'(3'(0'(1'(1'(1'(0'(2'(1'(2'(3'(3'(0'(3'(3'(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 }-> 2'(3'(3'(0'(1'(1'(1'(0'(2'(1'(2'(3'(3'(0'(3'(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
   3'(z) -{ 2 }-> 2'(3'(1'(2'(0'(2'(0'(3'(1'(0'(0'(0'(3'(2'(3'(1'(0'(2'(1'(1'(1'(1'(0'(3'(1'(1'(1'(2'(0'(3'(1'(0'(2'(2'(2'(x1711))))))))))))))))))))))))))))))))))) :|: x1711 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1711)))))))))))))))))))))))))))))))))
   3'(z) -{ 2 }-> 2'(3'(1'(2'(0'(2'(0'(3'(1'(0'(0'(0'(3'(2'(3'(1'(0'(0'(3'(2'(2'(0'(2'(2'(2'(2'(0'(3'(0'(1'(0'(1'(1'(0'(3'(x1717))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1717))))))))))))))))))))))))))))))))), x1717 >= 0
   3'(z) -{ 2 }-> 2'(3'(1'(2'(0'(2'(0'(3'(1'(0'(0'(0'(3'(2'(3'(1'(0'(0'(3'(2'(0'(0'(1'(2'(1'(0'(2'(1'(1'(3'(1'(0'(0'(2'(3'(x1714))))))))))))))))))))))))))))))))))) :|: x1714 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1714)))))))))))))))))))))))))))))))))
   3'(z) -{ 2 }-> 2'(3'(1'(2'(0'(2'(0'(3'(1'(0'(0'(0'(3'(2'(3'(1'(0'(0'(2'(3'(3'(1'(2'(1'(1'(1'(0'(2'(3'(1'(0'(2'(0'(3'(3'(x1718))))))))))))))))))))))))))))))))))) :|: x1718 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1718)))))))))))))))))))))))))))))))))
   3'(z) -{ 2 }-> 2'(3'(1'(2'(0'(2'(0'(3'(1'(0'(0'(0'(3'(2'(3'(1'(0'(0'(2'(2'(0'(3'(3'(1'(0'(0'(3'(0'(2'(1'(1'(0'(1'(2'(0'(x1716))))))))))))))))))))))))))))))))))) :|: x1716 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1716)))))))))))))))))))))))))))))))))
   3'(z) -{ 2 }-> 2'(3'(1'(2'(0'(2'(0'(3'(1'(0'(0'(0'(3'(2'(3'(1'(0'(0'(2'(2'(0'(0'(3'(0'(2'(3'(1'(0'(3'(1'(0'(3'(2'(3'(1'(x1712))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1712))))))))))))))))))))))))))))))))), x1712 >= 0
   3'(z) -{ 2 }-> 2'(3'(1'(2'(0'(2'(0'(3'(1'(0'(0'(0'(3'(2'(3'(1'(0'(0'(2'(0'(1'(3'(1'(1'(2'(1'(0'(0'(3'(3'(0'(0'(1'(3'(1'(x1719))))))))))))))))))))))))))))))))))) :|: x1719 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1719)))))))))))))))))))))))))))))))))
   3'(z) -{ 2 }-> 2'(3'(1'(2'(0'(2'(0'(3'(1'(0'(0'(0'(3'(2'(3'(1'(0'(0'(2'(0'(0'(0'(2'(0'(3'(0'(2'(2'(0'(1'(1'(3'(2'(2'(0'(x1709))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1709))))))))))))))))))))))))))))))))), x1709 >= 0
   3'(z) -{ 2 }-> 2'(3'(1'(2'(0'(2'(0'(3'(1'(0'(0'(0'(3'(2'(3'(1'(0'(0'(0'(3'(1'(0'(3'(0'(0'(3'(3'(0'(3'(3'(0'(0'(2'(0'(2'(x1710))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1710))))))))))))))))))))))))))))))))), x1710 >= 0
   3'(z) -{ 2 }-> 2'(3'(1'(2'(0'(2'(0'(3'(1'(0'(0'(0'(3'(2'(3'(1'(0'(0'(0'(3'(1'(0'(0'(0'(0'(2'(0'(0'(0'(3'(1'(0'(0'(0'(0'(x1715))))))))))))))))))))))))))))))))))) :|: x1715 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1715)))))))))))))))))))))))))))))))))
   3'(z) -{ 2 }-> 2'(3'(1'(2'(0'(2'(0'(3'(1'(0'(0'(0'(3'(2'(3'(1'(0'(0'(0'(0'(1'(1'(1'(0'(1'(3'(3'(1'(0'(3'(2'(0'(2'(3'(1'(x1713))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1713))))))))))))))))))))))))))))))))), x1713 >= 0
   3'(z) -{ 1 }-> 2'(3'(1'(2'(0'(2'(0'(3'(1'(0'(0'(0'(3'(2'(3'(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 }-> 2'(3'(1'(2'(0'(2'(0'(3'(1'(0'(0'(0'(3'(2'(3'(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 }-> 2'(3'(1'(1'(0'(2'(2'(0'(3'(3'(3'(1'(2'(3'(1'(2'(1'(2'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   3'(z) -{ 2 }-> 2'(1'(1'(3'(2'(0'(2'(3'(1'(1'(2'(2'(0'(2'(3'(2'(2'(2'(1'(1'(1'(1'(0'(3'(1'(1'(1'(2'(0'(3'(1'(0'(2'(2'(2'(x1572))))))))))))))))))))))))))))))))))) :|: x1572 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1572)))))))))))))))))))))))))))))))))
   3'(z) -{ 2 }-> 2'(1'(1'(3'(2'(0'(2'(3'(1'(1'(2'(2'(0'(2'(3'(2'(2'(0'(3'(2'(2'(0'(2'(2'(2'(2'(0'(3'(0'(1'(0'(1'(1'(0'(3'(x1578))))))))))))))))))))))))))))))))))) :|: x1578 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1578)))))))))))))))))))))))))))))))))
   3'(z) -{ 2 }-> 2'(1'(1'(3'(2'(0'(2'(3'(1'(1'(2'(2'(0'(2'(3'(2'(2'(0'(3'(2'(0'(0'(1'(2'(1'(0'(2'(1'(1'(3'(1'(0'(0'(2'(3'(x1575))))))))))))))))))))))))))))))))))) :|: x1575 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1575)))))))))))))))))))))))))))))))))
   3'(z) -{ 2 }-> 2'(1'(1'(3'(2'(0'(2'(3'(1'(1'(2'(2'(0'(2'(3'(2'(2'(0'(2'(3'(3'(1'(2'(1'(1'(1'(0'(2'(3'(1'(0'(2'(0'(3'(3'(x1579))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1579))))))))))))))))))))))))))))))))), x1579 >= 0
   3'(z) -{ 2 }-> 2'(1'(1'(3'(2'(0'(2'(3'(1'(1'(2'(2'(0'(2'(3'(2'(2'(0'(2'(2'(0'(3'(3'(1'(0'(0'(3'(0'(2'(1'(1'(0'(1'(2'(0'(x1577))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1577))))))))))))))))))))))))))))))))), x1577 >= 0
   3'(z) -{ 2 }-> 2'(1'(1'(3'(2'(0'(2'(3'(1'(1'(2'(2'(0'(2'(3'(2'(2'(0'(2'(2'(0'(0'(3'(0'(2'(3'(1'(0'(3'(1'(0'(3'(2'(3'(1'(x1573))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1573))))))))))))))))))))))))))))))))), x1573 >= 0
   3'(z) -{ 2 }-> 2'(1'(1'(3'(2'(0'(2'(3'(1'(1'(2'(2'(0'(2'(3'(2'(2'(0'(2'(0'(1'(3'(1'(1'(2'(1'(0'(0'(3'(3'(0'(0'(1'(3'(1'(x1580))))))))))))))))))))))))))))))))))) :|: x1580 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1580)))))))))))))))))))))))))))))))))
   3'(z) -{ 2 }-> 2'(1'(1'(3'(2'(0'(2'(3'(1'(1'(2'(2'(0'(2'(3'(2'(2'(0'(2'(0'(0'(0'(2'(0'(3'(0'(2'(2'(0'(1'(1'(3'(2'(2'(0'(x1570))))))))))))))))))))))))))))))))))) :|: x1570 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1570)))))))))))))))))))))))))))))))))
   3'(z) -{ 2 }-> 2'(1'(1'(3'(2'(0'(2'(3'(1'(1'(2'(2'(0'(2'(3'(2'(2'(0'(0'(3'(1'(0'(3'(0'(0'(3'(3'(0'(3'(3'(0'(0'(2'(0'(2'(x1571))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1571))))))))))))))))))))))))))))))))), x1571 >= 0
   3'(z) -{ 2 }-> 2'(1'(1'(3'(2'(0'(2'(3'(1'(1'(2'(2'(0'(2'(3'(2'(2'(0'(0'(3'(1'(0'(0'(0'(0'(2'(0'(0'(0'(3'(1'(0'(0'(0'(0'(x1576))))))))))))))))))))))))))))))))))) :|: x1576 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1576)))))))))))))))))))))))))))))))))
   3'(z) -{ 2 }-> 2'(1'(1'(3'(2'(0'(2'(3'(1'(1'(2'(2'(0'(2'(3'(2'(2'(0'(0'(0'(1'(1'(1'(0'(1'(3'(3'(1'(0'(3'(2'(0'(2'(3'(1'(x1574))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1574))))))))))))))))))))))))))))))))), x1574 >= 0
   3'(z) -{ 1 }-> 2'(1'(1'(3'(2'(0'(2'(3'(1'(1'(2'(2'(0'(2'(3'(2'(2'(0))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   3'(z) -{ 1 }-> 2'(1'(1'(3'(2'(0'(2'(3'(1'(1'(2'(2'(0'(2'(3'(2'(2'(1 + x1))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   3'(z) -{ 1 }-> 2'(1'(0'(0'(0'(0'(3'(2'(3'(0'(3'(1'(3'(0'(0'(2'(2'(2'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   3'(z) -{ 1 }-> 2'(0'(3'(3'(3'(0'(2'(0'(3'(1'(1'(1'(0'(0'(0'(0'(3'(2'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   3'(z) -{ 2 }-> 2'(0'(3'(3'(1'(2'(1'(2'(1'(0'(2'(3'(3'(2'(3'(2'(2'(2'(1'(1'(1'(1'(0'(3'(1'(1'(1'(2'(0'(3'(1'(0'(2'(2'(2'(x11545))))))))))))))))))))))))))))))))))) :|: x11545 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11545)))))))))))))))))))))))))))))))))
   3'(z) -{ 2 }-> 2'(0'(3'(3'(1'(2'(1'(2'(1'(0'(2'(3'(3'(2'(3'(2'(2'(0'(3'(2'(2'(0'(2'(2'(2'(2'(0'(3'(0'(1'(0'(1'(1'(0'(3'(x11551))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11551))))))))))))))))))))))))))))))))), x11551 >= 0
   3'(z) -{ 2 }-> 2'(0'(3'(3'(1'(2'(1'(2'(1'(0'(2'(3'(3'(2'(3'(2'(2'(0'(3'(2'(0'(0'(1'(2'(1'(0'(2'(1'(1'(3'(1'(0'(0'(2'(3'(x11548))))))))))))))))))))))))))))))))))) :|: x11548 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11548)))))))))))))))))))))))))))))))))
   3'(z) -{ 2 }-> 2'(0'(3'(3'(1'(2'(1'(2'(1'(0'(2'(3'(3'(2'(3'(2'(2'(0'(2'(3'(3'(1'(2'(1'(1'(1'(0'(2'(3'(1'(0'(2'(0'(3'(3'(x11552))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11552))))))))))))))))))))))))))))))))), x11552 >= 0
   3'(z) -{ 2 }-> 2'(0'(3'(3'(1'(2'(1'(2'(1'(0'(2'(3'(3'(2'(3'(2'(2'(0'(2'(2'(0'(3'(3'(1'(0'(0'(3'(0'(2'(1'(1'(0'(1'(2'(0'(x11550))))))))))))))))))))))))))))))))))) :|: x11550 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11550)))))))))))))))))))))))))))))))))
   3'(z) -{ 2 }-> 2'(0'(3'(3'(1'(2'(1'(2'(1'(0'(2'(3'(3'(2'(3'(2'(2'(0'(2'(2'(0'(0'(3'(0'(2'(3'(1'(0'(3'(1'(0'(3'(2'(3'(1'(x11546))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11546))))))))))))))))))))))))))))))))), x11546 >= 0
   3'(z) -{ 2 }-> 2'(0'(3'(3'(1'(2'(1'(2'(1'(0'(2'(3'(3'(2'(3'(2'(2'(0'(2'(0'(1'(3'(1'(1'(2'(1'(0'(0'(3'(3'(0'(0'(1'(3'(1'(x11553))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11553))))))))))))))))))))))))))))))))), x11553 >= 0
   3'(z) -{ 2 }-> 2'(0'(3'(3'(1'(2'(1'(2'(1'(0'(2'(3'(3'(2'(3'(2'(2'(0'(2'(0'(0'(0'(2'(0'(3'(0'(2'(2'(0'(1'(1'(3'(2'(2'(0'(x11543))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11543))))))))))))))))))))))))))))))))), x11543 >= 0
   3'(z) -{ 2 }-> 2'(0'(3'(3'(1'(2'(1'(2'(1'(0'(2'(3'(3'(2'(3'(2'(2'(0'(0'(3'(1'(0'(3'(0'(0'(3'(3'(0'(3'(3'(0'(0'(2'(0'(2'(x11544))))))))))))))))))))))))))))))))))) :|: x11544 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11544)))))))))))))))))))))))))))))))))
   3'(z) -{ 2 }-> 2'(0'(3'(3'(1'(2'(1'(2'(1'(0'(2'(3'(3'(2'(3'(2'(2'(0'(0'(3'(1'(0'(0'(0'(0'(2'(0'(0'(0'(3'(1'(0'(0'(0'(0'(x11549))))))))))))))))))))))))))))))))))) :|: x11549 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11549)))))))))))))))))))))))))))))))))
   3'(z) -{ 2 }-> 2'(0'(3'(3'(1'(2'(1'(2'(1'(0'(2'(3'(3'(2'(3'(2'(2'(0'(0'(0'(1'(1'(1'(0'(1'(3'(3'(1'(0'(3'(2'(0'(2'(3'(1'(x11547))))))))))))))))))))))))))))))))))) :|: x11547 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11547)))))))))))))))))))))))))))))))))
   3'(z) -{ 1 }-> 2'(0'(3'(3'(1'(2'(1'(2'(1'(0'(2'(3'(3'(2'(3'(2'(2'(0))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   3'(z) -{ 1 }-> 2'(0'(3'(3'(1'(2'(1'(2'(1'(0'(2'(3'(3'(2'(3'(2'(2'(1 + x1))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   3'(z) -{ 1 }-> 2'(0'(3'(2'(2'(2'(0'(3'(2'(0'(2'(1'(3'(2'(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
   3'(z) -{ 1 }-> 2'(0'(2'(3'(1'(1'(3'(3'(1'(2'(2'(2'(3'(3'(1'(1'(2'(3'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   3'(z) -{ 1 }-> 1'(1'(3'(0'(0'(3'(1'(0'(1'(0'(2'(3'(0'(3'(3'(0'(0'(3'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   3'(z) -{ 1 }-> 0'(1'(1'(2'(3'(2'(3'(1'(0'(2'(1'(1'(1'(0'(3'(3'(3'(3'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   3'(z) -{ 0 }-> 0 :|: v0 >= 0, z = v0
   3'(z) -{ 0 }-> 1 + x0 :|: z = x0, x0 >= 0
   encArg(z) -{ 0 }-> 3'(3'(encArg(x_114))) :|: z = 1 + (1 + x_114), x_114 >= 0
   encArg(z) -{ 0 }-> 3'(2'(encArg(x_113))) :|: x_113 >= 0, z = 1 + (1 + x_113)
   encArg(z) -{ 0 }-> 3'(1'(encArg(x_112))) :|: x_112 >= 0, z = 1 + (1 + x_112)
   encArg(z) -{ 0 }-> 3'(0'(encArg(x_111))) :|: z = 1 + (1 + x_111), x_111 >= 0
   encArg(z) -{ 0 }-> 3'(0) :|: z = 1 + x_1, x_1 >= 0
   encArg(z) -{ 0 }-> 2'(3'(encArg(x_110))) :|: z = 1 + (1 + x_110), x_110 >= 0
   encArg(z) -{ 0 }-> 2'(2'(encArg(x_19))) :|: z = 1 + (1 + x_19), x_19 >= 0
   encArg(z) -{ 0 }-> 2'(1'(encArg(x_18))) :|: z = 1 + (1 + x_18), x_18 >= 0
   encArg(z) -{ 0 }-> 2'(0'(encArg(x_17))) :|: x_17 >= 0, z = 1 + (1 + x_17)
   encArg(z) -{ 0 }-> 2'(0) :|: z = 1 + x_1, x_1 >= 0
   encArg(z) -{ 0 }-> 1'(3'(encArg(x_16))) :|: x_16 >= 0, z = 1 + (1 + x_16)
   encArg(z) -{ 0 }-> 1'(2'(encArg(x_15))) :|: x_15 >= 0, z = 1 + (1 + x_15)
   encArg(z) -{ 0 }-> 1'(1'(encArg(x_14))) :|: x_14 >= 0, z = 1 + (1 + x_14)
   encArg(z) -{ 0 }-> 1'(0'(encArg(x_13))) :|: z = 1 + (1 + x_13), x_13 >= 0
   encArg(z) -{ 0 }-> 1'(0) :|: z = 1 + x_1, x_1 >= 0
   encArg(z) -{ 0 }-> 0'(3'(encArg(x_12))) :|: z = 1 + (1 + x_12), x_12 >= 0
   encArg(z) -{ 0 }-> 0'(2'(encArg(x_11))) :|: x_11 >= 0, z = 1 + (1 + x_11)
   encArg(z) -{ 0 }-> 0'(1'(encArg(x_1''))) :|: z = 1 + (1 + x_1''), x_1'' >= 0
   encArg(z) -{ 0 }-> 0'(0'(encArg(x_1'))) :|: z = 1 + (1 + x_1'), x_1' >= 0
   encArg(z) -{ 0 }-> 0'(0) :|: z = 1 + x_1, x_1 >= 0
   encArg(z) -{ 0 }-> 0 :|: v0 >= 0, z = v0
   encode_0(z) -{ 0 }-> 0'(3'(encArg(x_118))) :|: z = 1 + x_118, x_118 >= 0
   encode_0(z) -{ 0 }-> 0'(2'(encArg(x_117))) :|: x_117 >= 0, z = 1 + x_117
   encode_0(z) -{ 0 }-> 0'(1'(encArg(x_116))) :|: x_116 >= 0, z = 1 + x_116
   encode_0(z) -{ 0 }-> 0'(0'(encArg(x_115))) :|: x_115 >= 0, z = 1 + x_115
   encode_0(z) -{ 0 }-> 0'(0) :|: x_1 >= 0, z = x_1
   encode_0(z) -{ 0 }-> 0 :|: v0 >= 0, z = v0
   encode_1(z) -{ 0 }-> 1'(3'(encArg(x_122))) :|: x_122 >= 0, z = 1 + x_122
   encode_1(z) -{ 0 }-> 1'(2'(encArg(x_121))) :|: z = 1 + x_121, x_121 >= 0
   encode_1(z) -{ 0 }-> 1'(1'(encArg(x_120))) :|: x_120 >= 0, z = 1 + x_120
   encode_1(z) -{ 0 }-> 1'(0'(encArg(x_119))) :|: z = 1 + x_119, x_119 >= 0
   encode_1(z) -{ 0 }-> 1'(0) :|: x_1 >= 0, z = x_1
   encode_1(z) -{ 0 }-> 0 :|: v0 >= 0, z = v0
   encode_2(z) -{ 0 }-> 2'(3'(encArg(x_130))) :|: x_130 >= 0, z = 1 + x_130
   encode_2(z) -{ 0 }-> 2'(2'(encArg(x_129))) :|: z = 1 + x_129, x_129 >= 0
   encode_2(z) -{ 0 }-> 2'(1'(encArg(x_128))) :|: x_128 >= 0, z = 1 + x_128
   encode_2(z) -{ 0 }-> 2'(0'(encArg(x_127))) :|: x_127 >= 0, z = 1 + x_127
   encode_2(z) -{ 0 }-> 2'(0) :|: x_1 >= 0, z = x_1
   encode_2(z) -{ 0 }-> 0 :|: v0 >= 0, z = v0
   encode_3(z) -{ 0 }-> 3'(3'(encArg(x_126))) :|: z = 1 + x_126, x_126 >= 0
   encode_3(z) -{ 0 }-> 3'(2'(encArg(x_125))) :|: z = 1 + x_125, x_125 >= 0
   encode_3(z) -{ 0 }-> 3'(1'(encArg(x_124))) :|: x_124 >= 0, z = 1 + x_124
   encode_3(z) -{ 0 }-> 3'(0'(encArg(x_123))) :|: x_123 >= 0, z = 1 + x_123
   encode_3(z) -{ 0 }-> 3'(0) :|: x_1 >= 0, z = x_1
   encode_3(z) -{ 0 }-> 0 :|: v0 >= 0, z = v0


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

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

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

   0'(z) -{ 1 }-> 2'(1'(1'(1'(1'(0'(3'(1'(1'(1'(2'(0'(3'(1'(0'(2'(2'(2'(z - 17)))))))))))))))))) :|: z - 17 >= 0
   0'(z) -{ 1 }-> 0'(3'(2'(2'(0'(2'(2'(2'(2'(0'(3'(0'(1'(0'(1'(1'(0'(3'(z - 17)))))))))))))))))) :|: z - 17 >= 0
   0'(z) -{ 1 }-> 0'(3'(2'(0'(0'(1'(2'(1'(0'(2'(1'(1'(3'(1'(0'(0'(2'(3'(z - 17)))))))))))))))))) :|: z - 17 >= 0
   0'(z) -{ 1 }-> 0'(2'(3'(3'(1'(2'(1'(1'(1'(0'(2'(3'(1'(0'(2'(0'(3'(3'(z - 17)))))))))))))))))) :|: z - 17 >= 0
   0'(z) -{ 2 }-> 0'(2'(2'(0'(3'(3'(1'(0'(0'(3'(0'(2'(1'(1'(0'(1'(2'(2'(1'(1'(1'(1'(0'(3'(1'(1'(1'(2'(0'(3'(1'(0'(2'(2'(2'(z - 34))))))))))))))))))))))))))))))))))) :|: z - 34 >= 0
   0'(z) -{ 2 }-> 0'(2'(2'(0'(3'(3'(1'(0'(0'(3'(0'(2'(1'(1'(0'(1'(2'(0'(3'(2'(2'(0'(2'(2'(2'(2'(0'(3'(0'(1'(0'(1'(1'(0'(3'(z - 34))))))))))))))))))))))))))))))))))) :|: z - 34 >= 0
   0'(z) -{ 2 }-> 0'(2'(2'(0'(3'(3'(1'(0'(0'(3'(0'(2'(1'(1'(0'(1'(2'(0'(3'(2'(0'(0'(1'(2'(1'(0'(2'(1'(1'(3'(1'(0'(0'(2'(3'(z - 34))))))))))))))))))))))))))))))))))) :|: z - 34 >= 0
   0'(z) -{ 2 }-> 0'(2'(2'(0'(3'(3'(1'(0'(0'(3'(0'(2'(1'(1'(0'(1'(2'(0'(2'(3'(3'(1'(2'(1'(1'(1'(0'(2'(3'(1'(0'(2'(0'(3'(3'(z - 34))))))))))))))))))))))))))))))))))) :|: z - 34 >= 0
   0'(z) -{ 2 }-> 0'(2'(2'(0'(3'(3'(1'(0'(0'(3'(0'(2'(1'(1'(0'(1'(2'(0'(2'(2'(0'(3'(3'(1'(0'(0'(3'(0'(2'(1'(1'(0'(1'(2'(0'(z - 34))))))))))))))))))))))))))))))))))) :|: z - 34 >= 0
   0'(z) -{ 2 }-> 0'(2'(2'(0'(3'(3'(1'(0'(0'(3'(0'(2'(1'(1'(0'(1'(2'(0'(2'(2'(0'(0'(3'(0'(2'(3'(1'(0'(3'(1'(0'(3'(2'(3'(1'(z - 34))))))))))))))))))))))))))))))))))) :|: z - 34 >= 0
   0'(z) -{ 2 }-> 0'(2'(2'(0'(3'(3'(1'(0'(0'(3'(0'(2'(1'(1'(0'(1'(2'(0'(2'(0'(1'(3'(1'(1'(2'(1'(0'(0'(3'(3'(0'(0'(1'(3'(1'(z - 34))))))))))))))))))))))))))))))))))) :|: z - 34 >= 0
   0'(z) -{ 2 }-> 0'(2'(2'(0'(3'(3'(1'(0'(0'(3'(0'(2'(1'(1'(0'(1'(2'(0'(2'(0'(0'(0'(2'(0'(3'(0'(2'(2'(0'(1'(1'(3'(2'(2'(0'(z - 34))))))))))))))))))))))))))))))))))) :|: z - 34 >= 0
   0'(z) -{ 2 }-> 0'(2'(2'(0'(3'(3'(1'(0'(0'(3'(0'(2'(1'(1'(0'(1'(2'(0'(0'(3'(1'(0'(3'(0'(0'(3'(3'(0'(3'(3'(0'(0'(2'(0'(2'(z - 34))))))))))))))))))))))))))))))))))) :|: z - 34 >= 0
   0'(z) -{ 2 }-> 0'(2'(2'(0'(3'(3'(1'(0'(0'(3'(0'(2'(1'(1'(0'(1'(2'(0'(0'(3'(1'(0'(0'(0'(0'(2'(0'(0'(0'(3'(1'(0'(0'(0'(0'(z - 34))))))))))))))))))))))))))))))))))) :|: z - 34 >= 0
   0'(z) -{ 2 }-> 0'(2'(2'(0'(3'(3'(1'(0'(0'(3'(0'(2'(1'(1'(0'(1'(2'(0'(0'(0'(1'(1'(1'(0'(1'(3'(3'(1'(0'(3'(2'(0'(2'(3'(1'(z - 34))))))))))))))))))))))))))))))))))) :|: z - 34 >= 0
   0'(z) -{ 1 }-> 0'(2'(2'(0'(3'(3'(1'(0'(0'(3'(0'(2'(1'(1'(0'(1'(2'(0))))))))))))))))) :|: z - 17 >= 0
   0'(z) -{ 1 }-> 0'(2'(2'(0'(3'(3'(1'(0'(0'(3'(0'(2'(1'(1'(0'(1'(2'(1 + (z - 17)))))))))))))))))) :|: z - 17 >= 0
   0'(z) -{ 2 }-> 0'(2'(2'(0'(0'(3'(0'(2'(3'(1'(0'(3'(1'(0'(3'(2'(3'(3'(3'(0'(3'(1'(0'(3'(2'(3'(2'(2'(0'(3'(2'(1'(1'(0'(3'(z - 34))))))))))))))))))))))))))))))))))) :|: z - 34 >= 0
   0'(z) -{ 2 }-> 0'(2'(2'(0'(0'(3'(0'(2'(3'(1'(0'(3'(1'(0'(3'(2'(3'(3'(0'(1'(1'(1'(1'(3'(0'(3'(1'(1'(0'(3'(0'(2'(3'(3'(3'(z - 34))))))))))))))))))))))))))))))))))) :|: z - 34 >= 0
   0'(z) -{ 2 }-> 0'(2'(2'(0'(0'(3'(0'(2'(3'(1'(0'(3'(1'(0'(3'(2'(3'(2'(3'(2'(1'(1'(2'(2'(1'(3'(1'(0'(2'(1'(1'(1'(0'(3'(3'(z - 34))))))))))))))))))))))))))))))))))) :|: z - 34 >= 0
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   3'(z) -{ 1 }-> 2'(1'(0'(0'(0'(0'(3'(2'(3'(0'(3'(1'(3'(0'(0'(2'(2'(2'(z - 17)))))))))))))))))) :|: z - 17 >= 0
   3'(z) -{ 1 }-> 2'(0'(3'(3'(3'(0'(2'(0'(3'(1'(1'(1'(0'(0'(0'(0'(3'(2'(z - 17)))))))))))))))))) :|: z - 17 >= 0
   3'(z) -{ 2 }-> 2'(0'(3'(3'(1'(2'(1'(2'(1'(0'(2'(3'(3'(2'(3'(2'(2'(2'(1'(1'(1'(1'(0'(3'(1'(1'(1'(2'(0'(3'(1'(0'(2'(2'(2'(z - 34))))))))))))))))))))))))))))))))))) :|: z - 34 >= 0
   3'(z) -{ 2 }-> 2'(0'(3'(3'(1'(2'(1'(2'(1'(0'(2'(3'(3'(2'(3'(2'(2'(0'(3'(2'(2'(0'(2'(2'(2'(2'(0'(3'(0'(1'(0'(1'(1'(0'(3'(z - 34))))))))))))))))))))))))))))))))))) :|: z - 34 >= 0
   3'(z) -{ 2 }-> 2'(0'(3'(3'(1'(2'(1'(2'(1'(0'(2'(3'(3'(2'(3'(2'(2'(0'(3'(2'(0'(0'(1'(2'(1'(0'(2'(1'(1'(3'(1'(0'(0'(2'(3'(z - 34))))))))))))))))))))))))))))))))))) :|: z - 34 >= 0
   3'(z) -{ 2 }-> 2'(0'(3'(3'(1'(2'(1'(2'(1'(0'(2'(3'(3'(2'(3'(2'(2'(0'(2'(3'(3'(1'(2'(1'(1'(1'(0'(2'(3'(1'(0'(2'(0'(3'(3'(z - 34))))))))))))))))))))))))))))))))))) :|: z - 34 >= 0
   3'(z) -{ 2 }-> 2'(0'(3'(3'(1'(2'(1'(2'(1'(0'(2'(3'(3'(2'(3'(2'(2'(0'(2'(2'(0'(3'(3'(1'(0'(0'(3'(0'(2'(1'(1'(0'(1'(2'(0'(z - 34))))))))))))))))))))))))))))))))))) :|: z - 34 >= 0
   3'(z) -{ 2 }-> 2'(0'(3'(3'(1'(2'(1'(2'(1'(0'(2'(3'(3'(2'(3'(2'(2'(0'(2'(2'(0'(0'(3'(0'(2'(3'(1'(0'(3'(1'(0'(3'(2'(3'(1'(z - 34))))))))))))))))))))))))))))))))))) :|: z - 34 >= 0
   3'(z) -{ 2 }-> 2'(0'(3'(3'(1'(2'(1'(2'(1'(0'(2'(3'(3'(2'(3'(2'(2'(0'(2'(0'(1'(3'(1'(1'(2'(1'(0'(0'(3'(3'(0'(0'(1'(3'(1'(z - 34))))))))))))))))))))))))))))))))))) :|: z - 34 >= 0
   3'(z) -{ 2 }-> 2'(0'(3'(3'(1'(2'(1'(2'(1'(0'(2'(3'(3'(2'(3'(2'(2'(0'(2'(0'(0'(0'(2'(0'(3'(0'(2'(2'(0'(1'(1'(3'(2'(2'(0'(z - 34))))))))))))))))))))))))))))))))))) :|: z - 34 >= 0
   3'(z) -{ 2 }-> 2'(0'(3'(3'(1'(2'(1'(2'(1'(0'(2'(3'(3'(2'(3'(2'(2'(0'(0'(3'(1'(0'(3'(0'(0'(3'(3'(0'(3'(3'(0'(0'(2'(0'(2'(z - 34))))))))))))))))))))))))))))))))))) :|: z - 34 >= 0
   3'(z) -{ 2 }-> 2'(0'(3'(3'(1'(2'(1'(2'(1'(0'(2'(3'(3'(2'(3'(2'(2'(0'(0'(3'(1'(0'(0'(0'(0'(2'(0'(0'(0'(3'(1'(0'(0'(0'(0'(z - 34))))))))))))))))))))))))))))))))))) :|: z - 34 >= 0
   3'(z) -{ 2 }-> 2'(0'(3'(3'(1'(2'(1'(2'(1'(0'(2'(3'(3'(2'(3'(2'(2'(0'(0'(0'(1'(1'(1'(0'(1'(3'(3'(1'(0'(3'(2'(0'(2'(3'(1'(z - 34))))))))))))))))))))))))))))))))))) :|: z - 34 >= 0
   3'(z) -{ 1 }-> 2'(0'(3'(3'(1'(2'(1'(2'(1'(0'(2'(3'(3'(2'(3'(2'(2'(0))))))))))))))))) :|: z - 17 >= 0
   3'(z) -{ 1 }-> 2'(0'(3'(3'(1'(2'(1'(2'(1'(0'(2'(3'(3'(2'(3'(2'(2'(1 + (z - 17)))))))))))))))))) :|: z - 17 >= 0
   3'(z) -{ 1 }-> 2'(0'(3'(2'(2'(2'(0'(3'(2'(0'(2'(1'(3'(2'(0'(0'(0'(2'(z - 17)))))))))))))))))) :|: z - 17 >= 0
   3'(z) -{ 1 }-> 2'(0'(2'(3'(1'(1'(3'(3'(1'(2'(2'(2'(3'(3'(1'(1'(2'(3'(z - 17)))))))))))))))))) :|: z - 17 >= 0
   3'(z) -{ 1 }-> 1'(1'(3'(0'(0'(3'(1'(0'(1'(0'(2'(3'(0'(3'(3'(0'(0'(3'(z - 17)))))))))))))))))) :|: z - 17 >= 0
   3'(z) -{ 1 }-> 0'(1'(1'(2'(3'(2'(3'(1'(0'(2'(1'(1'(1'(0'(3'(3'(3'(3'(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:

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

The TRS has the following type information:
0' :: c_0:c_2:c_3:c_1: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_2:c_3:c_1: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_2:c_3:c_1: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_2:c_3:c_1: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_2:c_3:c_1: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_2:c_3:c_1: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_2:c_3:c_1: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_2:c_3:c_1: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_2:c_3:c_1: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_2:c_3:c_1: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_2:c_3:c_1: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_2:c_3:c_1:null_encArg:null_encode_0:null_encode_1:null_encode_3:null_encode_2:null_0':null_1':null_2':null_3'
3' :: c_0:c_2:c_3:c_1: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_2:c_3:c_1: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_2:c_3:c_1: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_2:c_3:c_1: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_2:c_3:c_1: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_2:c_3:c_1: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_2:c_3:c_1: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_2:c_3:c_1: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_2:c_3:c_1: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_2:c_3:c_1: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_2:c_3:c_1: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_2:c_3:c_1: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_2:c_3:c_1: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_2:c_3:c_1: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_2:c_3:c_1: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_2:c_3:c_1: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_2:c_3:c_1: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_2:c_3:c_1: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 }-> 2'(1'(1'(1'(1'(0'(3'(1'(1'(1'(2'(0'(3'(1'(0'(2'(2'(2'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   0'(z) -{ 1 }-> 0'(3'(2'(2'(0'(2'(2'(2'(2'(0'(3'(0'(1'(0'(1'(1'(0'(3'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   0'(z) -{ 1 }-> 0'(3'(2'(0'(0'(1'(2'(1'(0'(2'(1'(1'(3'(1'(0'(0'(2'(3'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   0'(z) -{ 1 }-> 0'(2'(3'(3'(1'(2'(1'(1'(1'(0'(2'(3'(1'(0'(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
   0'(z) -{ 1 }-> 0'(2'(2'(0'(3'(3'(1'(0'(0'(3'(0'(2'(1'(1'(0'(1'(2'(0'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   0'(z) -{ 1 }-> 0'(2'(2'(0'(0'(3'(0'(2'(3'(1'(0'(3'(1'(0'(3'(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
   0'(z) -{ 1 }-> 0'(2'(0'(1'(3'(1'(1'(2'(1'(0'(0'(3'(3'(0'(0'(1'(3'(1'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   0'(z) -{ 1 }-> 0'(2'(0'(0'(0'(2'(0'(3'(0'(2'(2'(0'(1'(1'(3'(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'(3'(1'(0'(3'(0'(0'(3'(3'(0'(3'(3'(0'(0'(2'(0'(2'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   0'(z) -{ 1 }-> 0'(0'(3'(1'(0'(0'(0'(0'(2'(0'(0'(0'(3'(1'(0'(0'(0'(0'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   0'(z) -{ 1 }-> 0'(0'(0'(1'(1'(1'(0'(1'(3'(3'(1'(0'(3'(2'(0'(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
   0'(z) -{ 0 }-> 0 :|: v0 >= 0, z = v0
   0'(z) -{ 0 }-> 1 + x0 :|: z = x0, x0 >= 0
   1'(z) -{ 1 }-> 3'(3'(0'(3'(1'(0'(3'(2'(3'(2'(2'(0'(3'(2'(1'(1'(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 }-> 3'(0'(1'(1'(1'(1'(3'(0'(3'(1'(1'(0'(3'(0'(2'(3'(3'(3'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   1'(z) -{ 1 }-> 2'(3'(2'(1'(1'(2'(2'(1'(3'(1'(0'(2'(1'(1'(1'(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 }-> 2'(3'(1'(0'(3'(1'(0'(2'(3'(3'(2'(2'(0'(0'(3'(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
   1'(z) -{ 1 }-> 1'(3'(2'(0'(1'(0'(2'(2'(2'(2'(2'(1'(0'(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
   1'(z) -{ 1 }-> 1'(3'(1'(3'(0'(1'(1'(3'(2'(3'(2'(2'(0'(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
   1'(z) -{ 1 }-> 1'(3'(1'(1'(0'(3'(3'(0'(2'(0'(1'(3'(0'(3'(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
   1'(z) -{ 1 }-> 1'(2'(2'(0'(1'(1'(1'(1'(0'(0'(3'(2'(1'(0'(2'(3'(1'(1'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   1'(z) -{ 1 }-> 1'(1'(2'(3'(3'(0'(0'(3'(3'(1'(1'(1'(1'(1'(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'(0'(3'(3'(1'(0'(2'(0'(3'(1'(0'(3'(2'(1'(2'(2'(1'(0'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   1'(z) -{ 1 }-> 1'(0'(3'(3'(0'(3'(3'(1'(0'(2'(3'(1'(1'(3'(2'(3'(2'(3'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   1'(z) -{ 1 }-> 1'(0'(3'(1'(1'(2'(2'(3'(2'(3'(1'(1'(3'(1'(1'(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'(0'(3'(0'(0'(3'(3'(0'(0'(2'(1'(0'(3'(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'(1'(0'(3'(1'(3'(1'(0'(1'(1'(3'(2'(3'(0'(2'(1'(1'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   1'(z) -{ 0 }-> 0 :|: v0 >= 0, z = v0
   1'(z) -{ 0 }-> 1 + x0 :|: z = x0, x0 >= 0
   2'(z) -{ 1 }-> 3'(0'(2'(1'(3'(2'(2'(1'(1'(2'(0'(3'(0'(0'(2'(2'(3'(2'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   2'(z) -{ 1 }-> 3'(0'(0'(3'(1'(1'(1'(1'(1'(2'(3'(2'(0'(2'(2'(1'(2'(1'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   2'(z) -{ 1 }-> 3'(0'(0'(3'(0'(2'(3'(1'(1'(3'(3'(2'(2'(0'(3'(0'(2'(0'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   2'(z) -{ 1 }-> 3'(0'(0'(0'(1'(1'(2'(3'(3'(0'(0'(3'(0'(1'(0'(2'(1'(1'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   2'(z) -{ 1 }-> 2'(3'(3'(1'(3'(1'(3'(3'(2'(3'(1'(1'(2'(3'(2'(1'(0'(1'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   2'(z) -{ 1 }-> 2'(3'(3'(0'(3'(3'(0'(0'(3'(2'(3'(1'(1'(1'(0'(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'(3'(2'(2'(2'(1'(2'(2'(2'(0'(1'(0'(2'(2'(0'(2'(1'(2'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   2'(z) -{ 1 }-> 2'(3'(2'(1'(1'(0'(1'(2'(2'(2'(0'(3'(2'(2'(1'(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
   2'(z) -{ 1 }-> 2'(3'(1'(3'(1'(0'(2'(2'(3'(0'(2'(2'(2'(3'(2'(2'(0'(3'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   2'(z) -{ 1 }-> 2'(3'(1'(2'(3'(2'(2'(1'(2'(0'(0'(1'(0'(3'(1'(1'(1'(0'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   2'(z) -{ 1 }-> 2'(3'(0'(0'(0'(0'(0'(0'(0'(2'(3'(1'(3'(1'(0'(3'(2'(2'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   2'(z) -{ 1 }-> 2'(2'(3'(3'(1'(2'(1'(0'(1'(1'(3'(3'(2'(3'(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
   2'(z) -{ 1 }-> 2'(2'(3'(2'(2'(0'(3'(0'(3'(1'(0'(1'(1'(1'(2'(2'(0'(0'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   2'(z) -{ 1 }-> 2'(2'(3'(0'(3'(1'(0'(0'(3'(0'(1'(1'(1'(1'(2'(1'(0'(3'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   2'(z) -{ 1 }-> 2'(2'(1'(3'(3'(1'(1'(0'(3'(1'(1'(1'(3'(3'(2'(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
   2'(z) -{ 1 }-> 2'(2'(1'(1'(1'(2'(1'(2'(3'(2'(3'(1'(3'(1'(0'(2'(0'(3'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   2'(z) -{ 1 }-> 2'(2'(0'(2'(2'(2'(3'(1'(2'(1'(3'(2'(3'(1'(1'(2'(3'(2'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   2'(z) -{ 1 }-> 2'(0'(3'(1'(0'(1'(3'(1'(3'(2'(2'(2'(2'(0'(1'(1'(0'(3'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   2'(z) -{ 1 }-> 2'(0'(2'(0'(1'(0'(1'(1'(0'(1'(0'(3'(2'(0'(2'(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
   2'(z) -{ 1 }-> 2'(0'(0'(1'(1'(0'(2'(2'(3'(1'(2'(2'(1'(2'(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
   2'(z) -{ 1 }-> 1'(2'(3'(1'(1'(0'(1'(3'(0'(0'(0'(3'(2'(3'(2'(2'(1'(1'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   2'(z) -{ 1 }-> 1'(1'(2'(2'(3'(3'(3'(2'(2'(0'(2'(0'(1'(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
   2'(z) -{ 1 }-> 1'(1'(0'(3'(2'(2'(3'(2'(2'(1'(0'(2'(3'(3'(2'(3'(3'(2'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   2'(z) -{ 0 }-> 0 :|: v0 >= 0, z = v0
   2'(z) -{ 0 }-> 1 + x0 :|: z = x0, x0 >= 0
   3'(z) -{ 1 }-> 3'(3'(3'(2'(0'(2'(1'(1'(2'(3'(1'(1'(3'(0'(3'(1'(1'(3'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   3'(z) -{ 1 }-> 3'(3'(3'(0'(2'(3'(1'(0'(1'(3'(2'(3'(3'(3'(3'(0'(0'(3'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   3'(z) -{ 1 }-> 3'(3'(2'(2'(3'(3'(2'(3'(0'(0'(3'(2'(2'(1'(0'(3'(2'(3'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   3'(z) -{ 1 }-> 3'(3'(1'(1'(0'(1'(3'(3'(0'(3'(3'(0'(2'(2'(3'(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
   3'(z) -{ 1 }-> 3'(3'(1'(1'(0'(1'(0'(2'(0'(1'(1'(2'(3'(3'(2'(2'(3'(0'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   3'(z) -{ 1 }-> 3'(3'(1'(0'(2'(0'(2'(0'(2'(0'(2'(3'(1'(1'(3'(1'(0'(2'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   3'(z) -{ 1 }-> 3'(2'(3'(3'(0'(3'(1'(1'(0'(2'(2'(3'(1'(2'(1'(1'(0'(3'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   3'(z) -{ 1 }-> 3'(2'(3'(2'(0'(3'(1'(2'(1'(1'(1'(2'(0'(0'(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
   3'(z) -{ 1 }-> 3'(2'(3'(2'(0'(3'(1'(1'(2'(3'(2'(0'(1'(3'(1'(1'(1'(3'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   3'(z) -{ 1 }-> 3'(2'(3'(1'(0'(3'(2'(1'(2'(3'(3'(3'(0'(0'(3'(3'(2'(2'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   3'(z) -{ 1 }-> 3'(2'(2'(1'(2'(2'(2'(3'(2'(3'(3'(1'(1'(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
   3'(z) -{ 1 }-> 3'(2'(2'(0'(1'(1'(1'(1'(1'(0'(0'(0'(3'(2'(2'(1'(3'(2'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   3'(z) -{ 1 }-> 3'(2'(1'(3'(2'(3'(2'(0'(3'(2'(2'(3'(2'(3'(1'(1'(2'(0'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   3'(z) -{ 1 }-> 3'(2'(1'(0'(0'(3'(0'(2'(3'(2'(2'(0'(2'(2'(3'(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
   3'(z) -{ 1 }-> 3'(2'(0'(3'(0'(1'(1'(1'(0'(1'(1'(0'(3'(0'(3'(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'(1'(3'(2'(1'(1'(3'(2'(0'(0'(0'(3'(2'(2'(2'(3'(2'(3'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   3'(z) -{ 1 }-> 3'(1'(1'(1'(3'(0'(1'(3'(0'(2'(3'(2'(3'(0'(3'(2'(3'(0'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   3'(z) -{ 1 }-> 3'(1'(0'(3'(1'(1'(0'(3'(3'(2'(2'(2'(2'(3'(1'(3'(3'(3'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   3'(z) -{ 1 }-> 3'(1'(0'(0'(0'(3'(1'(1'(0'(3'(1'(2'(1'(2'(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'(0'(2'(1'(0'(3'(0'(3'(3'(0'(2'(3'(3'(1'(1'(2'(3'(0'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   3'(z) -{ 1 }-> 3'(0'(0'(2'(1'(1'(0'(1'(0'(3'(2'(1'(0'(0'(3'(3'(0'(3'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   3'(z) -{ 1 }-> 2'(3'(3'(0'(1'(1'(1'(0'(2'(1'(2'(3'(3'(0'(3'(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
   3'(z) -{ 1 }-> 2'(3'(1'(2'(0'(2'(0'(3'(1'(0'(0'(0'(3'(2'(3'(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
   3'(z) -{ 1 }-> 2'(3'(1'(1'(0'(2'(2'(0'(3'(3'(3'(1'(2'(3'(1'(2'(1'(2'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   3'(z) -{ 1 }-> 2'(1'(1'(3'(2'(0'(2'(3'(1'(1'(2'(2'(0'(2'(3'(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
   3'(z) -{ 1 }-> 2'(1'(0'(0'(0'(0'(3'(2'(3'(0'(3'(1'(3'(0'(0'(2'(2'(2'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   3'(z) -{ 1 }-> 2'(0'(3'(3'(3'(0'(2'(0'(3'(1'(1'(1'(0'(0'(0'(0'(3'(2'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   3'(z) -{ 1 }-> 2'(0'(3'(3'(1'(2'(1'(2'(1'(0'(2'(3'(3'(2'(3'(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
   3'(z) -{ 1 }-> 2'(0'(3'(2'(2'(2'(0'(3'(2'(0'(2'(1'(3'(2'(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
   3'(z) -{ 1 }-> 2'(0'(2'(3'(1'(1'(3'(3'(1'(2'(2'(2'(3'(3'(1'(1'(2'(3'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   3'(z) -{ 1 }-> 1'(1'(3'(0'(0'(3'(1'(0'(1'(0'(2'(3'(0'(3'(3'(0'(0'(3'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   3'(z) -{ 1 }-> 0'(1'(1'(2'(3'(2'(3'(1'(0'(2'(1'(1'(1'(0'(3'(3'(3'(3'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   3'(z) -{ 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_3(c_0(c_0(c_2(c_1(c_0(c_0(c_2(c_1(c_2(c_2(c_3(c_2(c_0(c_0(c_2(c_0(z0)))))))))))))))))) -> 0(2(0(0(0(2(0(3(0(2(2(0(1(1(3(2(2(0(z0))))))))))))))))))
   0(c_0(c_3(c_3(c_0(c_2(c_3(c_0(c_3(c_0(c_2(c_1(c_0(c_0(c_0(c_3(c_3(c_0(z0)))))))))))))))))) -> 0(0(3(1(0(3(0(0(3(3(0(3(3(0(0(2(0(2(z0))))))))))))))))))
   0(c_0(c_1(c_1(c_2(c_1(c_3(c_1(c_3(c_1(c_1(c_1(c_2(c_2(c_1(c_0(c_2(c_2(z0)))))))))))))))))) -> 2(1(1(1(1(0(3(1(1(1(2(0(3(1(0(2(2(2(z0))))))))))))))))))
   0(c_3(c_3(c_0(c_0(c_0(c_1(c_3(c_2(c_2(c_3(c_2(c_1(c_3(c_0(c_0(c_2(c_1(z0)))))))))))))))))) -> 0(2(2(0(0(3(0(2(3(1(0(3(1(0(3(2(3(1(z0))))))))))))))))))
   0(c_0(c_0(c_0(c_1(c_1(c_3(c_2(c_3(c_3(c_0(c_1(c_1(c_2(c_0(c_1(c_3(c_1(z0)))))))))))))))))) -> 0(0(0(1(1(1(0(1(3(3(1(0(3(2(0(2(3(1(z0))))))))))))))))))
   0(c_2(c_1(c_2(c_1(c_1(c_2(c_3(c_2(c_1(c_0(c_0(c_1(c_0(c_0(c_3(c_0(c_3(z0)))))))))))))))))) -> 0(3(2(0(0(1(2(1(0(2(1(1(3(1(0(0(2(3(z0))))))))))))))))))
   0(c_0(c_0(c_2(c_3(c_0(c_0(c_0(c_0(c_0(c_0(c_1(c_1(c_0(c_3(c_0(c_0(c_0(z0)))))))))))))))))) -> 0(0(3(1(0(0(0(0(2(0(0(0(3(1(0(0(0(0(z0))))))))))))))))))
   0(c_3(c_2(c_0(c_3(c_0(c_0(c_1(c_2(c_1(c_2(c_0(c_1(c_2(c_1(c_3(c_0(c_0(z0)))))))))))))))))) -> 0(2(2(0(3(3(1(0(0(3(0(2(1(1(0(1(2(0(z0))))))))))))))))))
   0(c_2(c_0(c_2(c_1(c_1(c_2(c_1(c_2(c_0(c_0(c_3(c_2(c_2(c_3(c_0(c_0(c_3(z0)))))))))))))))))) -> 0(3(2(2(0(2(2(2(2(0(3(0(1(0(1(1(0(3(z0))))))))))))))))))
   0(c_2(c_3(c_1(c_2(c_3(c_2(c_1(c_0(c_1(c_0(c_0(c_3(c_1(c_3(c_1(c_2(c_3(z0)))))))))))))))))) -> 0(2(3(3(1(2(1(1(1(0(2(3(1(0(2(0(3(3(z0))))))))))))))))))
   0(c_2(c_0(c_1(c_3(c_0(c_0(c_1(c_3(c_0(c_2(c_0(c_1(c_3(c_1(c_1(c_3(c_1(z0)))))))))))))))))) -> 0(2(0(1(3(1(1(2(1(0(0(3(3(0(0(1(3(1(z0))))))))))))))))))
   1(z0) -> c_1(z0)
   1(c_0(c_0(c_1(c_0(c_0(c_3(c_3(c_0(c_0(c_2(c_1(c_2(c_1(c_3(c_3(c_1(c_3(z0)))))))))))))))))) -> 1(0(3(0(0(3(3(0(0(2(1(0(3(1(2(3(1(1(z0))))))))))))))))))
   1(c_3(c_3(c_0(c_3(c_2(c_1(c_1(c_1(c_0(c_1(c_3(c_2(c_3(c_1(c_1(c_2(c_1(z0)))))))))))))))))) -> 1(3(1(3(0(1(1(3(2(3(2(2(0(3(1(1(1(1(z0))))))))))))))))))
   1(c_2(c_3(c_1(c_3(c_0(c_1(c_2(c_2(c_0(c_2(c_0(c_1(c_1(c_1(c_1(c_0(c_1(z0)))))))))))))))))) -> 1(2(2(0(1(1(1(1(0(0(3(2(1(0(2(3(1(1(z0))))))))))))))))))
   1(c_0(c_3(c_1(c_2(c_0(c_3(c_3(c_2(c_1(c_2(c_0(c_0(c_1(c_0(c_2(c_1(c_3(z0)))))))))))))))))) -> 1(0(3(3(1(0(2(0(3(1(0(3(2(1(2(2(1(0(z0))))))))))))))))))
   1(c_1(c_3(c_2(c_1(c_0(c_0(c_3(c_3(c_1(c_1(c_3(c_2(c_0(c_1(c_2(c_1(c_1(z0)))))))))))))))))) -> 1(1(2(3(3(0(0(3(3(1(1(1(1(1(0(2(2(1(z0))))))))))))))))))
   1(c_1(c_2(c_0(c_3(c_0(c_2(c_1(c_3(c_3(c_0(c_3(c_3(c_3(c_3(c_3(c_1(c_2(z0)))))))))))))))))) -> 1(0(3(3(0(3(3(1(0(2(3(1(1(3(2(3(2(3(z0))))))))))))))))))
   1(c_3(c_0(c_3(c_0(c_1(c_3(c_1(c_2(c_1(c_0(c_2(c_1(c_1(c_3(c_0(c_1(c_1(z0)))))))))))))))))) -> 1(0(1(0(3(1(3(1(0(1(1(3(2(3(0(2(1(1(z0))))))))))))))))))
   1(c_3(c_3(c_3(c_1(c_2(c_0(c_1(c_2(c_0(c_0(c_2(c_1(c_3(c_3(c_3(c_0(c_2(z0)))))))))))))))))) -> 1(3(1(1(0(3(3(0(2(0(1(3(0(3(2(3(2(2(z0))))))))))))))))))
   1(c_1(c_2(c_1(c_0(c_0(c_3(c_0(c_3(c_1(c_3(c_0(c_1(c_3(c_1(c_3(c_3(c_3(z0)))))))))))))))))) -> 3(0(1(1(1(1(3(0(3(1(1(0(3(0(2(3(3(3(z0))))))))))))))))))
   1(c_3(c_0(c_1(c_3(c_1(c_2(c_1(c_2(c_1(c_2(c_2(c_2(c_1(c_3(c_0(c_1(c_3(z0)))))))))))))))))) -> 2(3(2(1(1(2(2(1(3(1(0(2(1(1(1(0(3(3(z0))))))))))))))))))
   1(c_2(c_2(c_3(c_3(c_2(c_0(c_1(c_3(c_1(c_2(c_0(c_3(c_0(c_3(c_2(c_0(c_2(z0)))))))))))))))))) -> 2(3(1(0(3(1(0(2(3(3(2(2(0(0(3(1(2(2(z0))))))))))))))))))
   1(c_3(c_2(c_1(c_0(c_1(c_2(c_1(c_3(c_1(c_1(c_3(c_3(c_3(c_0(c_2(c_1(c_3(z0)))))))))))))))))) -> 1(0(3(1(1(2(2(3(2(3(1(1(3(1(1(0(3(3(z0))))))))))))))))))
   1(c_3(c_3(c_1(c_3(c_2(c_2(c_2(c_2(c_2(c_0(c_1(c_2(c_2(c_0(c_3(c_0(c_3(z0)))))))))))))))))) -> 1(3(2(0(1(0(2(2(2(2(2(1(0(3(3(3(2(3(z0))))))))))))))))))
   1(c_1(c_2(c_0(c_3(c_0(c_1(c_3(c_0(c_2(c_3(c_3(c_3(c_2(c_2(c_3(c_0(c_3(z0)))))))))))))))))) -> 3(3(0(3(1(0(3(2(3(2(2(0(3(2(1(1(0(3(z0))))))))))))))))))
   2(z0) -> c_2(z0)
   2(c_1(c_0(c_1(c_1(c_2(c_2(c_3(c_3(c_2(c_1(c_2(c_1(c_2(c_2(c_3(c_0(c_2(z0)))))))))))))))))) -> 2(3(2(1(1(0(1(2(2(2(0(3(2(2(1(1(3(2(z0))))))))))))))))))
   2(c_0(c_3(c_2(c_0(c_3(c_1(c_0(c_0(c_0(c_1(c_3(c_0(c_0(c_3(c_0(c_2(c_2(z0)))))))))))))))))) -> 2(3(0(0(0(0(0(0(0(2(3(1(3(1(0(3(2(2(z0))))))))))))))))))
   2(c_1(c_1(c_1(c_0(c_1(c_0(c_0(c_3(c_3(c_0(c_3(c_2(c_0(c_1(c_2(c_1(c_3(z0)))))))))))))))))) -> 2(2(3(0(3(1(0(0(3(0(1(1(1(1(2(1(0(3(z0))))))))))))))))))
   2(c_2(c_1(c_3(c_0(c_1(c_3(c_0(c_1(c_2(c_0(c_2(c_2(c_1(c_3(c_2(c_2(c_2(z0)))))))))))))))))) -> 1(1(2(2(3(3(3(2(2(0(2(0(1(0(2(2(1(2(z0))))))))))))))))))
   2(c_1(c_0(c_0(c_3(c_0(c_0(c_0(c_1(c_3(c_0(c_1(c_3(c_0(c_1(c_3(c_2(c_1(z0)))))))))))))))))) -> 3(0(0(0(1(1(2(3(3(0(0(3(0(1(0(2(1(1(z0))))))))))))))))))
   2(c_2(c_1(c_2(c_3(c_2(c_1(c_1(c_1(c_0(c_0(c_3(c_3(c_1(c_2(c_2(c_1(c_3(z0)))))))))))))))))) -> 2(2(1(1(1(2(1(2(3(2(3(1(3(1(0(2(0(3(z0))))))))))))))))))
   2(c_1(c_1(c_3(c_0(c_2(c_1(c_3(c_2(c_2(c_3(c_3(c_3(c_1(c_3(c_2(c_3(c_3(z0)))))))))))))))))) -> 2(2(3(3(1(2(1(0(1(1(3(3(2(3(3(2(3(3(z0))))))))))))))))))
   2(c_1(c_3(c_0(c_3(c_0(c_1(c_0(c_1(c_3(c_3(c_0(c_1(c_3(c_3(c_0(c_2(c_3(z0)))))))))))))))))) -> 2(3(3(0(3(3(0(0(3(2(3(1(1(1(0(3(1(0(z0))))))))))))))))))
   2(c_2(c_1(c_2(c_2(c_2(c_2(c_2(c_1(c_3(c_2(c_1(c_3(c_0(c_3(c_3(c_1(c_2(z0)))))))))))))))))) -> 2(2(0(2(2(2(3(1(2(1(3(2(3(1(1(2(3(2(z0))))))))))))))))))
   2(c_2(c_1(c_0(c_1(c_3(c_2(c_2(c_0(c_2(c_2(c_2(c_2(c_0(c_2(c_2(c_1(c_2(z0)))))))))))))))))) -> 2(3(2(2(2(1(2(2(2(0(1(0(2(2(0(2(1(2(z0))))))))))))))))))
   2(c_2(c_3(c_0(c_2(c_3(c_1(c_2(c_0(c_2(c_2(c_1(c_3(c_0(c_0(c_1(c_3(c_2(z0)))))))))))))))))) -> 3(0(2(1(3(2(2(1(1(2(0(3(0(0(2(2(3(2(z0))))))))))))))))))
   2(c_2(c_3(c_1(c_1(c_2(c_0(c_2(c_0(c_3(c_0(c_0(c_2(c_1(c_0(c_1(c_3(c_2(z0)))))))))))))))))) -> 2(2(3(2(2(0(3(0(3(1(0(1(1(1(2(2(0(0(z0))))))))))))))))))
   2(c_2(c_3(c_1(c_3(c_1(c_3(c_0(c_2(c_1(c_3(c_1(c_2(c_3(c_1(c_3(c_3(c_1(z0)))))))))))))))))) -> 2(3(3(1(3(1(3(3(2(3(1(1(2(3(2(1(0(1(z0))))))))))))))))))
   2(c_1(c_0(c_2(c_0(c_1(c_0(c_3(c_2(c_1(c_3(c_1(c_1(c_3(c_2(c_2(c_1(c_0(z0)))))))))))))))))) -> 2(3(1(2(3(2(2(1(2(0(0(1(0(3(1(1(1(0(z0))))))))))))))))))
   2(c_1(c_2(c_2(c_1(c_0(c_1(c_3(c_0(c_1(c_1(c_0(c_0(c_3(c_3(c_2(c_2(c_3(z0)))))))))))))))))) -> 2(0(3(1(0(1(3(1(3(2(2(2(2(0(1(1(0(3(z0))))))))))))))))))
   2(c_2(c_1(c_2(c_0(c_1(c_3(c_0(c_1(c_1(c_1(c_1(c_2(c_2(c_0(c_0(c_2(c_2(z0)))))))))))))))))) -> 2(0(0(1(1(0(2(2(3(1(2(2(1(2(1(1(0(2(z0))))))))))))))))))
   2(c_2(c_1(c_2(c_2(c_2(c_3(c_2(c_0(c_3(c_3(c_0(c_1(c_2(c_0(c_2(c_3(c_3(z0)))))))))))))))))) -> 2(3(1(3(1(0(2(2(3(0(2(2(2(3(2(2(0(3(z0))))))))))))))))))
   2(c_2(c_3(c_1(c_0(c_3(c_0(c_2(c_1(c_3(c_2(c_2(c_2(c_3(c_3(c_3(c_1(c_2(z0)))))))))))))))))) -> 1(1(0(3(2(2(3(2(2(1(0(2(3(3(2(3(3(2(z0))))))))))))))))))
   2(c_3(c_3(c_1(c_3(c_1(c_0(c_0(c_1(c_1(c_3(c_3(c_3(c_1(c_2(c_2(c_1(c_3(z0)))))))))))))))))) -> 2(2(1(3(3(1(1(0(3(1(1(1(3(3(2(3(0(3(z0))))))))))))))))))
   2(c_0(c_1(c_2(c_0(c_0(c_0(c_2(c_2(c_1(c_3(c_2(c_1(c_0(c_1(c_0(c_2(c_0(z0)))))))))))))))))) -> 2(0(2(0(1(0(1(1(0(1(0(3(2(0(2(2(2(0(z0))))))))))))))))))
   2(c_1(c_3(c_1(c_1(c_2(c_1(c_2(c_3(c_0(c_3(c_2(c_0(c_1(c_0(c_1(c_2(c_1(z0)))))))))))))))))) -> 3(0(0(3(1(1(1(1(1(2(3(2(0(2(2(1(2(1(z0))))))))))))))))))
   2(c_3(c_2(c_1(c_3(c_1(c_2(c_0(c_0(c_1(c_3(c_0(c_1(c_2(c_0(c_3(c_1(c_1(z0)))))))))))))))))) -> 1(2(3(1(1(0(1(3(0(0(0(3(2(3(2(2(1(1(z0))))))))))))))))))
   2(c_3(c_2(c_1(c_2(c_0(c_3(c_0(c_1(c_3(c_3(c_3(c_0(c_2(c_3(c_0(c_0(c_0(z0)))))))))))))))))) -> 3(0(0(3(0(2(3(1(1(3(3(2(2(0(3(0(2(0(z0))))))))))))))))))
   3(z0) -> c_3(z0)
   3(c_0(c_0(c_3(c_1(c_3(c_3(c_2(c_2(c_1(c_1(c_0(c_2(c_1(c_2(c_0(c_2(c_0(z0)))))))))))))))))) -> 3(3(1(0(2(0(2(0(2(0(2(3(1(1(3(1(0(2(z0))))))))))))))))))
   3(c_2(c_0(c_1(c_0(c_0(c_0(c_3(c_1(c_3(c_1(c_3(c_3(c_2(c_0(c_1(c_1(c_1(z0)))))))))))))))))) -> 3(2(0(3(0(1(1(1(0(1(1(0(3(0(3(2(3(1(z0))))))))))))))))))
   3(c_2(c_2(c_3(c_1(c_2(c_2(c_2(c_1(c_3(c_3(c_3(c_0(c_2(c_1(c_3(c_2(c_1(z0)))))))))))))))))) -> 3(2(2(1(2(2(2(3(2(3(3(1(1(3(3(0(2(1(z0))))))))))))))))))
   3(c_0(c_1(c_0(c_2(c_0(c_3(c_1(c_3(c_3(c_1(c_3(c_3(c_0(c_2(c_2(c_3(c_0(z0)))))))))))))))))) -> 3(0(2(1(0(3(0(3(3(0(2(3(3(1(1(2(3(0(z0))))))))))))))))))
   3(c_3(c_2(c_0(c_3(c_1(c_2(c_2(c_3(c_1(c_3(c_2(c_3(c_2(c_2(c_1(c_2(c_0(z0)))))))))))))))))) -> 3(2(1(3(2(3(2(0(3(2(2(3(2(3(1(1(2(0(z0))))))))))))))))))
   3(c_1(c_2(c_3(c_0(c_2(c_2(c_1(c_1(c_3(c_1(c_0(c_0(c_1(c_0(c_2(c_3(c_0(z0)))))))))))))))))) -> 3(1(0(0(0(3(1(1(0(3(1(2(1(2(2(3(2(0(z0))))))))))))))))))
   3(c_0(c_3(c_2(c_0(c_3(c_1(c_1(c_2(c_1(c_3(c_3(c_2(c_1(c_0(c_3(c_2(c_1(z0)))))))))))))))))) -> 2(3(3(0(1(1(1(0(2(1(2(3(3(0(3(3(2(1(z0))))))))))))))))))
   3(c_3(c_0(c_3(c_1(c_3(c_3(c_1(c_2(c_0(c_3(c_2(c_2(c_2(c_3(c_2(c_3(c_0(z0)))))))))))))))))) -> 3(2(3(1(0(3(2(1(2(3(3(3(0(0(3(3(2(2(z0))))))))))))))))))
   3(c_1(c_1(c_3(c_1(c_3(c_3(c_0(c_3(c_1(c_3(c_0(c_2(c_1(c_2(c_2(c_1(c_3(z0)))))))))))))))))) -> 3(3(3(2(0(2(1(1(2(3(1(1(3(0(3(1(1(3(z0))))))))))))))))))
   3(c_3(c_0(c_2(c_3(c_3(c_0(c_0(c_2(c_1(c_0(c_3(c_0(c_1(c_0(c_1(c_0(c_2(z0)))))))))))))))))) -> 2(0(3(3(3(0(2(0(3(1(1(1(0(0(0(0(3(2(z0))))))))))))))))))
   3(c_2(c_0(c_1(c_2(c_1(c_2(c_3(c_2(c_3(c_2(c_0(c_2(c_1(c_2(c_1(c_2(c_0(z0)))))))))))))))))) -> 2(1(1(3(2(0(2(3(1(1(2(2(0(2(3(2(2(0(z0))))))))))))))))))
   3(c_0(c_1(c_3(c_2(c_2(c_3(c_2(c_0(c_1(c_0(c_0(c_3(c_0(c_1(c_0(c_2(c_0(z0)))))))))))))))))) -> 2(3(1(2(0(2(0(3(1(0(0(0(3(2(3(1(0(0(z0))))))))))))))))))
   3(c_0(c_1(c_0(c_0(c_1(c_3(c_0(c_0(c_1(c_3(c_0(c_1(c_2(c_0(c_3(c_3(c_3(z0)))))))))))))))))) -> 1(1(3(0(0(3(1(0(1(0(2(3(0(3(3(0(0(3(z0))))))))))))))))))
   3(c_3(c_1(c_1(c_3(c_0(c_2(c_1(c_3(c_2(c_0(c_1(c_2(c_3(c_3(c_3(c_2(c_3(z0)))))))))))))))))) -> 3(1(0(3(1(1(0(3(3(2(2(2(2(3(1(3(3(3(z0))))))))))))))))))
   3(c_2(c_3(c_3(c_0(c_2(c_3(c_2(c_0(c_2(c_3(c_2(c_2(c_1(c_3(c_3(c_0(c_3(z0)))))))))))))))))) -> 3(3(2(2(3(3(2(3(0(0(3(2(2(1(0(3(2(3(z0))))))))))))))))))
   3(c_2(c_0(c_2(c_2(c_3(c_0(c_0(c_1(c_3(c_0(c_2(c_0(c_0(c_2(c_1(c_3(c_0(z0)))))))))))))))))) -> 2(1(0(0(0(0(3(2(3(0(3(1(3(0(0(2(2(2(z0))))))))))))))))))
   3(c_1(c_3(c_3(c_0(c_2(c_2(c_2(c_0(c_1(c_2(c_0(c_1(c_0(c_1(c_2(c_2(c_0(z0)))))))))))))))))) -> 3(2(3(2(0(3(1(2(1(1(1(2(0(0(0(2(2(0(z0))))))))))))))))))
   3(c_2(c_1(c_2(c_3(c_3(c_1(c_2(c_1(c_1(c_2(c_3(c_0(c_2(c_3(c_1(c_2(c_3(z0)))))))))))))))))) -> 2(0(2(3(1(1(3(3(1(2(2(2(3(3(1(1(2(3(z0))))))))))))))))))
   3(c_3(c_3(c_1(c_3(c_0(c_3(c_3(c_1(c_3(c_0(c_1(c_0(c_0(c_2(c_1(c_2(c_0(z0)))))))))))))))))) -> 3(3(1(1(0(1(3(3(0(3(3(0(2(2(3(1(0(0(z0))))))))))))))))))
   3(c_0(c_3(c_2(c_2(c_3(c_2(c_0(c_3(c_0(c_2(c_2(c_1(c_2(c_0(c_2(c_2(c_0(z0)))))))))))))))))) -> 3(2(1(0(0(3(0(2(3(2(2(0(2(2(3(2(2(0(z0))))))))))))))))))
   3(c_3(c_0(c_1(c_0(c_1(c_3(c_3(c_3(c_2(c_2(c_3(c_3(c_0(c_3(c_3(c_0(c_3(z0)))))))))))))))))) -> 3(3(3(0(2(3(1(0(1(3(2(3(3(3(3(0(0(3(z0))))))))))))))))))
   3(c_3(c_3(c_0(c_1(c_3(c_3(c_1(c_2(c_3(c_0(c_2(c_1(c_3(c_2(c_1(c_0(c_0(z0)))))))))))))))))) -> 3(1(1(1(3(0(1(3(0(2(3(2(3(0(3(2(3(0(z0))))))))))))))))))
   3(c_1(c_2(c_0(c_3(c_0(c_1(c_2(c_0(c_3(c_3(c_2(c_3(c_2(c_2(c_1(c_2(c_3(z0)))))))))))))))))) -> 3(1(3(2(1(1(3(2(0(0(0(3(2(2(2(3(2(3(z0))))))))))))))))))
   3(c_3(c_2(c_1(c_1(c_1(c_1(c_3(c_0(c_0(c_3(c_1(c_2(c_0(c_2(c_2(c_3(c_0(z0)))))))))))))))))) -> 3(3(1(1(0(1(0(2(0(1(1(2(3(3(2(2(3(0(z0))))))))))))))))))
   3(c_0(c_1(c_3(c_2(c_3(c_3(c_2(c_0(c_1(c_1(c_2(c_0(c_1(c_3(c_1(c_3(c_2(z0)))))))))))))))))) -> 3(2(3(3(0(3(1(1(0(2(2(3(1(2(1(1(0(3(z0))))))))))))))))))
   3(c_0(c_2(c_1(c_3(c_3(c_0(c_1(c_1(c_3(c_0(c_1(c_2(c_3(c_1(c_2(c_1(c_3(z0)))))))))))))))))) -> 0(1(1(2(3(2(3(1(0(2(1(1(1(0(3(3(3(3(z0))))))))))))))))))
   3(c_3(c_2(c_0(c_3(c_2(c_1(c_2(c_2(c_1(c_2(c_0(c_1(c_2(c_3(c_3(c_2(c_0(z0)))))))))))))))))) -> 2(0(3(3(1(2(1(2(1(0(2(3(3(2(3(2(2(0(z0))))))))))))))))))
   3(c_2(c_1(c_3(c_2(c_2(c_3(c_3(c_3(c_2(c_1(c_2(c_0(c_1(c_0(c_1(c_1(c_2(z0)))))))))))))))))) -> 2(3(1(1(0(2(2(0(3(3(3(1(2(3(1(2(1(2(z0))))))))))))))))))
   3(c_0(c_3(c_0(c_1(c_3(c_0(c_2(c_0(c_1(c_1(c_0(c_1(c_0(c_2(c_3(c_0(c_3(z0)))))))))))))))))) -> 3(0(0(2(1(1(0(1(0(3(2(1(0(0(3(3(0(3(z0))))))))))))))))))
   3(c_2(c_0(c_2(c_2(c_0(c_0(c_2(c_3(c_0(c_2(c_3(c_0(c_1(c_2(c_2(c_0(c_2(z0)))))))))))))))))) -> 2(0(3(2(2(2(0(3(2(0(2(1(3(2(0(0(0(2(z0))))))))))))))))))
   3(c_2(c_3(c_2(c_1(c_3(c_0(c_1(c_2(c_1(c_2(c_2(c_1(c_0(c_1(c_1(c_0(c_0(z0)))))))))))))))))) -> 3(2(2(0(1(1(1(1(1(0(0(0(3(2(2(1(3(2(z0))))))))))))))))))
   3(c_2(c_3(c_1(c_1(c_1(c_3(c_2(c_2(c_1(c_2(c_1(c_0(c_0(c_3(c_1(c_3(c_3(z0)))))))))))))))))) -> 3(2(3(2(0(3(1(1(2(3(2(0(1(3(1(1(1(3(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_3(c_0(c_0(c_2(c_1(c_0(c_0(c_2(c_1(c_2(c_2(c_3(c_2(c_0(c_0(c_2(c_0(z0)))))))))))))))))) -> c9(0'(2(0(0(0(2(0(3(0(2(2(0(1(1(3(2(2(0(z0)))))))))))))))))), 2'(0(0(0(2(0(3(0(2(2(0(1(1(3(2(2(0(z0))))))))))))))))), 0'(0(0(2(0(3(0(2(2(0(1(1(3(2(2(0(z0)))))))))))))))), 0'(0(2(0(3(0(2(2(0(1(1(3(2(2(0(z0))))))))))))))), 0'(2(0(3(0(2(2(0(1(1(3(2(2(0(z0)))))))))))))), 2'(0(3(0(2(2(0(1(1(3(2(2(0(z0))))))))))))), 0'(3(0(2(2(0(1(1(3(2(2(0(z0)))))))))))), 3'(0(2(2(0(1(1(3(2(2(0(z0))))))))))), 0'(2(2(0(1(1(3(2(2(0(z0)))))))))), 2'(2(0(1(1(3(2(2(0(z0))))))))), 2'(0(1(1(3(2(2(0(z0)))))))), 0'(1(1(3(2(2(0(z0))))))), 1'(1(3(2(2(0(z0)))))), 1'(3(2(2(0(z0))))), 3'(2(2(0(z0)))), 2'(2(0(z0))), 2'(0(z0)), 0'(z0))
   0'(c_0(c_3(c_3(c_0(c_2(c_3(c_0(c_3(c_0(c_2(c_1(c_0(c_0(c_0(c_3(c_3(c_0(z0)))))))))))))))))) -> c10(0'(0(3(1(0(3(0(0(3(3(0(3(3(0(0(2(0(2(z0)))))))))))))))))), 0'(3(1(0(3(0(0(3(3(0(3(3(0(0(2(0(2(z0))))))))))))))))), 3'(1(0(3(0(0(3(3(0(3(3(0(0(2(0(2(z0)))))))))))))))), 1'(0(3(0(0(3(3(0(3(3(0(0(2(0(2(z0))))))))))))))), 0'(3(0(0(3(3(0(3(3(0(0(2(0(2(z0)))))))))))))), 3'(0(0(3(3(0(3(3(0(0(2(0(2(z0))))))))))))), 0'(0(3(3(0(3(3(0(0(2(0(2(z0)))))))))))), 0'(3(3(0(3(3(0(0(2(0(2(z0))))))))))), 3'(3(0(3(3(0(0(2(0(2(z0)))))))))), 3'(0(3(3(0(0(2(0(2(z0))))))))), 0'(3(3(0(0(2(0(2(z0)))))))), 3'(3(0(0(2(0(2(z0))))))), 3'(0(0(2(0(2(z0)))))), 0'(0(2(0(2(z0))))), 0'(2(0(2(z0)))), 2'(0(2(z0))), 0'(2(z0)), 2'(z0))
   0'(c_0(c_1(c_1(c_2(c_1(c_3(c_1(c_3(c_1(c_1(c_1(c_2(c_2(c_1(c_0(c_2(c_2(z0)))))))))))))))))) -> c11(2'(1(1(1(1(0(3(1(1(1(2(0(3(1(0(2(2(2(z0)))))))))))))))))), 1'(1(1(1(0(3(1(1(1(2(0(3(1(0(2(2(2(z0))))))))))))))))), 1'(1(1(0(3(1(1(1(2(0(3(1(0(2(2(2(z0)))))))))))))))), 1'(1(0(3(1(1(1(2(0(3(1(0(2(2(2(z0))))))))))))))), 1'(0(3(1(1(1(2(0(3(1(0(2(2(2(z0)))))))))))))), 0'(3(1(1(1(2(0(3(1(0(2(2(2(z0))))))))))))), 3'(1(1(1(2(0(3(1(0(2(2(2(z0)))))))))))), 1'(1(1(2(0(3(1(0(2(2(2(z0))))))))))), 1'(1(2(0(3(1(0(2(2(2(z0)))))))))), 1'(2(0(3(1(0(2(2(2(z0))))))))), 2'(0(3(1(0(2(2(2(z0)))))))), 0'(3(1(0(2(2(2(z0))))))), 3'(1(0(2(2(2(z0)))))), 1'(0(2(2(2(z0))))), 0'(2(2(2(z0)))), 2'(2(2(z0))), 2'(2(z0)), 2'(z0))
   0'(c_3(c_3(c_0(c_0(c_0(c_1(c_3(c_2(c_2(c_3(c_2(c_1(c_3(c_0(c_0(c_2(c_1(z0)))))))))))))))))) -> c12(0'(2(2(0(0(3(0(2(3(1(0(3(1(0(3(2(3(1(z0)))))))))))))))))), 2'(2(0(0(3(0(2(3(1(0(3(1(0(3(2(3(1(z0))))))))))))))))), 2'(0(0(3(0(2(3(1(0(3(1(0(3(2(3(1(z0)))))))))))))))), 0'(0(3(0(2(3(1(0(3(1(0(3(2(3(1(z0))))))))))))))), 0'(3(0(2(3(1(0(3(1(0(3(2(3(1(z0)))))))))))))), 3'(0(2(3(1(0(3(1(0(3(2(3(1(z0))))))))))))), 0'(2(3(1(0(3(1(0(3(2(3(1(z0)))))))))))), 2'(3(1(0(3(1(0(3(2(3(1(z0))))))))))), 3'(1(0(3(1(0(3(2(3(1(z0)))))))))), 1'(0(3(1(0(3(2(3(1(z0))))))))), 0'(3(1(0(3(2(3(1(z0)))))))), 3'(1(0(3(2(3(1(z0))))))), 1'(0(3(2(3(1(z0)))))), 0'(3(2(3(1(z0))))), 3'(2(3(1(z0)))), 2'(3(1(z0))), 3'(1(z0)), 1'(z0))
   0'(c_0(c_0(c_0(c_1(c_1(c_3(c_2(c_3(c_3(c_0(c_1(c_1(c_2(c_0(c_1(c_3(c_1(z0)))))))))))))))))) -> c13(0'(0(0(1(1(1(0(1(3(3(1(0(3(2(0(2(3(1(z0)))))))))))))))))), 0'(0(1(1(1(0(1(3(3(1(0(3(2(0(2(3(1(z0))))))))))))))))), 0'(1(1(1(0(1(3(3(1(0(3(2(0(2(3(1(z0)))))))))))))))), 1'(1(1(0(1(3(3(1(0(3(2(0(2(3(1(z0))))))))))))))), 1'(1(0(1(3(3(1(0(3(2(0(2(3(1(z0)))))))))))))), 1'(0(1(3(3(1(0(3(2(0(2(3(1(z0))))))))))))), 0'(1(3(3(1(0(3(2(0(2(3(1(z0)))))))))))), 1'(3(3(1(0(3(2(0(2(3(1(z0))))))))))), 3'(3(1(0(3(2(0(2(3(1(z0)))))))))), 3'(1(0(3(2(0(2(3(1(z0))))))))), 1'(0(3(2(0(2(3(1(z0)))))))), 0'(3(2(0(2(3(1(z0))))))), 3'(2(0(2(3(1(z0)))))), 2'(0(2(3(1(z0))))), 0'(2(3(1(z0)))), 2'(3(1(z0))), 3'(1(z0)), 1'(z0))
   0'(c_2(c_1(c_2(c_1(c_1(c_2(c_3(c_2(c_1(c_0(c_0(c_1(c_0(c_0(c_3(c_0(c_3(z0)))))))))))))))))) -> c14(0'(3(2(0(0(1(2(1(0(2(1(1(3(1(0(0(2(3(z0)))))))))))))))))), 3'(2(0(0(1(2(1(0(2(1(1(3(1(0(0(2(3(z0))))))))))))))))), 2'(0(0(1(2(1(0(2(1(1(3(1(0(0(2(3(z0)))))))))))))))), 0'(0(1(2(1(0(2(1(1(3(1(0(0(2(3(z0))))))))))))))), 0'(1(2(1(0(2(1(1(3(1(0(0(2(3(z0)))))))))))))), 1'(2(1(0(2(1(1(3(1(0(0(2(3(z0))))))))))))), 2'(1(0(2(1(1(3(1(0(0(2(3(z0)))))))))))), 1'(0(2(1(1(3(1(0(0(2(3(z0))))))))))), 0'(2(1(1(3(1(0(0(2(3(z0)))))))))), 2'(1(1(3(1(0(0(2(3(z0))))))))), 1'(1(3(1(0(0(2(3(z0)))))))), 1'(3(1(0(0(2(3(z0))))))), 3'(1(0(0(2(3(z0)))))), 1'(0(0(2(3(z0))))), 0'(0(2(3(z0)))), 0'(2(3(z0))), 2'(3(z0)), 3'(z0))
   0'(c_0(c_0(c_2(c_3(c_0(c_0(c_0(c_0(c_0(c_0(c_1(c_1(c_0(c_3(c_0(c_0(c_0(z0)))))))))))))))))) -> c15(0'(0(3(1(0(0(0(0(2(0(0(0(3(1(0(0(0(0(z0)))))))))))))))))), 0'(3(1(0(0(0(0(2(0(0(0(3(1(0(0(0(0(z0))))))))))))))))), 3'(1(0(0(0(0(2(0(0(0(3(1(0(0(0(0(z0)))))))))))))))), 1'(0(0(0(0(2(0(0(0(3(1(0(0(0(0(z0))))))))))))))), 0'(0(0(0(2(0(0(0(3(1(0(0(0(0(z0)))))))))))))), 0'(0(0(2(0(0(0(3(1(0(0(0(0(z0))))))))))))), 0'(0(2(0(0(0(3(1(0(0(0(0(z0)))))))))))), 0'(2(0(0(0(3(1(0(0(0(0(z0))))))))))), 2'(0(0(0(3(1(0(0(0(0(z0)))))))))), 0'(0(0(3(1(0(0(0(0(z0))))))))), 0'(0(3(1(0(0(0(0(z0)))))))), 0'(3(1(0(0(0(0(z0))))))), 3'(1(0(0(0(0(z0)))))), 1'(0(0(0(0(z0))))), 0'(0(0(0(z0)))), 0'(0(0(z0))), 0'(0(z0)), 0'(z0))
   0'(c_3(c_2(c_0(c_3(c_0(c_0(c_1(c_2(c_1(c_2(c_0(c_1(c_2(c_1(c_3(c_0(c_0(z0)))))))))))))))))) -> c16(0'(2(2(0(3(3(1(0(0(3(0(2(1(1(0(1(2(0(z0)))))))))))))))))), 2'(2(0(3(3(1(0(0(3(0(2(1(1(0(1(2(0(z0))))))))))))))))), 2'(0(3(3(1(0(0(3(0(2(1(1(0(1(2(0(z0)))))))))))))))), 0'(3(3(1(0(0(3(0(2(1(1(0(1(2(0(z0))))))))))))))), 3'(3(1(0(0(3(0(2(1(1(0(1(2(0(z0)))))))))))))), 3'(1(0(0(3(0(2(1(1(0(1(2(0(z0))))))))))))), 1'(0(0(3(0(2(1(1(0(1(2(0(z0)))))))))))), 0'(0(3(0(2(1(1(0(1(2(0(z0))))))))))), 0'(3(0(2(1(1(0(1(2(0(z0)))))))))), 3'(0(2(1(1(0(1(2(0(z0))))))))), 0'(2(1(1(0(1(2(0(z0)))))))), 2'(1(1(0(1(2(0(z0))))))), 1'(1(0(1(2(0(z0)))))), 1'(0(1(2(0(z0))))), 0'(1(2(0(z0)))), 1'(2(0(z0))), 2'(0(z0)), 0'(z0))
   0'(c_2(c_0(c_2(c_1(c_1(c_2(c_1(c_2(c_0(c_0(c_3(c_2(c_2(c_3(c_0(c_0(c_3(z0)))))))))))))))))) -> c17(0'(3(2(2(0(2(2(2(2(0(3(0(1(0(1(1(0(3(z0)))))))))))))))))), 3'(2(2(0(2(2(2(2(0(3(0(1(0(1(1(0(3(z0))))))))))))))))), 2'(2(0(2(2(2(2(0(3(0(1(0(1(1(0(3(z0)))))))))))))))), 2'(0(2(2(2(2(0(3(0(1(0(1(1(0(3(z0))))))))))))))), 0'(2(2(2(2(0(3(0(1(0(1(1(0(3(z0)))))))))))))), 2'(2(2(2(0(3(0(1(0(1(1(0(3(z0))))))))))))), 2'(2(2(0(3(0(1(0(1(1(0(3(z0)))))))))))), 2'(2(0(3(0(1(0(1(1(0(3(z0))))))))))), 2'(0(3(0(1(0(1(1(0(3(z0)))))))))), 0'(3(0(1(0(1(1(0(3(z0))))))))), 3'(0(1(0(1(1(0(3(z0)))))))), 0'(1(0(1(1(0(3(z0))))))), 1'(0(1(1(0(3(z0)))))), 0'(1(1(0(3(z0))))), 1'(1(0(3(z0)))), 1'(0(3(z0))), 0'(3(z0)), 3'(z0))
   0'(c_2(c_3(c_1(c_2(c_3(c_2(c_1(c_0(c_1(c_0(c_0(c_3(c_1(c_3(c_1(c_2(c_3(z0)))))))))))))))))) -> c18(0'(2(3(3(1(2(1(1(1(0(2(3(1(0(2(0(3(3(z0)))))))))))))))))), 2'(3(3(1(2(1(1(1(0(2(3(1(0(2(0(3(3(z0))))))))))))))))), 3'(3(1(2(1(1(1(0(2(3(1(0(2(0(3(3(z0)))))))))))))))), 3'(1(2(1(1(1(0(2(3(1(0(2(0(3(3(z0))))))))))))))), 1'(2(1(1(1(0(2(3(1(0(2(0(3(3(z0)))))))))))))), 2'(1(1(1(0(2(3(1(0(2(0(3(3(z0))))))))))))), 1'(1(1(0(2(3(1(0(2(0(3(3(z0)))))))))))), 1'(1(0(2(3(1(0(2(0(3(3(z0))))))))))), 1'(0(2(3(1(0(2(0(3(3(z0)))))))))), 0'(2(3(1(0(2(0(3(3(z0))))))))), 2'(3(1(0(2(0(3(3(z0)))))))), 3'(1(0(2(0(3(3(z0))))))), 1'(0(2(0(3(3(z0)))))), 0'(2(0(3(3(z0))))), 2'(0(3(3(z0)))), 0'(3(3(z0))), 3'(3(z0)), 3'(z0))
   0'(c_2(c_0(c_1(c_3(c_0(c_0(c_1(c_3(c_0(c_2(c_0(c_1(c_3(c_1(c_1(c_3(c_1(z0)))))))))))))))))) -> c19(0'(2(0(1(3(1(1(2(1(0(0(3(3(0(0(1(3(1(z0)))))))))))))))))), 2'(0(1(3(1(1(2(1(0(0(3(3(0(0(1(3(1(z0))))))))))))))))), 0'(1(3(1(1(2(1(0(0(3(3(0(0(1(3(1(z0)))))))))))))))), 1'(3(1(1(2(1(0(0(3(3(0(0(1(3(1(z0))))))))))))))), 3'(1(1(2(1(0(0(3(3(0(0(1(3(1(z0)))))))))))))), 1'(1(2(1(0(0(3(3(0(0(1(3(1(z0))))))))))))), 1'(2(1(0(0(3(3(0(0(1(3(1(z0)))))))))))), 2'(1(0(0(3(3(0(0(1(3(1(z0))))))))))), 1'(0(0(3(3(0(0(1(3(1(z0)))))))))), 0'(0(3(3(0(0(1(3(1(z0))))))))), 0'(3(3(0(0(1(3(1(z0)))))))), 3'(3(0(0(1(3(1(z0))))))), 3'(0(0(1(3(1(z0)))))), 0'(0(1(3(1(z0))))), 0'(1(3(1(z0)))), 1'(3(1(z0))), 3'(1(z0)), 1'(z0))
   1'(z0) -> c20
   1'(c_0(c_0(c_1(c_0(c_0(c_3(c_3(c_0(c_0(c_2(c_1(c_2(c_1(c_3(c_3(c_1(c_3(z0)))))))))))))))))) -> c21(1'(0(3(0(0(3(3(0(0(2(1(0(3(1(2(3(1(1(z0)))))))))))))))))), 0'(3(0(0(3(3(0(0(2(1(0(3(1(2(3(1(1(z0))))))))))))))))), 3'(0(0(3(3(0(0(2(1(0(3(1(2(3(1(1(z0)))))))))))))))), 0'(0(3(3(0(0(2(1(0(3(1(2(3(1(1(z0))))))))))))))), 0'(3(3(0(0(2(1(0(3(1(2(3(1(1(z0)))))))))))))), 3'(3(0(0(2(1(0(3(1(2(3(1(1(z0))))))))))))), 3'(0(0(2(1(0(3(1(2(3(1(1(z0)))))))))))), 0'(0(2(1(0(3(1(2(3(1(1(z0))))))))))), 0'(2(1(0(3(1(2(3(1(1(z0)))))))))), 2'(1(0(3(1(2(3(1(1(z0))))))))), 1'(0(3(1(2(3(1(1(z0)))))))), 0'(3(1(2(3(1(1(z0))))))), 3'(1(2(3(1(1(z0)))))), 1'(2(3(1(1(z0))))), 2'(3(1(1(z0)))), 3'(1(1(z0))), 1'(1(z0)), 1'(z0))
   1'(c_3(c_3(c_0(c_3(c_2(c_1(c_1(c_1(c_0(c_1(c_3(c_2(c_3(c_1(c_1(c_2(c_1(z0)))))))))))))))))) -> c22(1'(3(1(3(0(1(1(3(2(3(2(2(0(3(1(1(1(1(z0)))))))))))))))))), 3'(1(3(0(1(1(3(2(3(2(2(0(3(1(1(1(1(z0))))))))))))))))), 1'(3(0(1(1(3(2(3(2(2(0(3(1(1(1(1(z0)))))))))))))))), 3'(0(1(1(3(2(3(2(2(0(3(1(1(1(1(z0))))))))))))))), 0'(1(1(3(2(3(2(2(0(3(1(1(1(1(z0)))))))))))))), 1'(1(3(2(3(2(2(0(3(1(1(1(1(z0))))))))))))), 1'(3(2(3(2(2(0(3(1(1(1(1(z0)))))))))))), 3'(2(3(2(2(0(3(1(1(1(1(z0))))))))))), 2'(3(2(2(0(3(1(1(1(1(z0)))))))))), 3'(2(2(0(3(1(1(1(1(z0))))))))), 2'(2(0(3(1(1(1(1(z0)))))))), 2'(0(3(1(1(1(1(z0))))))), 0'(3(1(1(1(1(z0)))))), 3'(1(1(1(1(z0))))), 1'(1(1(1(z0)))), 1'(1(1(z0))), 1'(1(z0)), 1'(z0))
   1'(c_2(c_3(c_1(c_3(c_0(c_1(c_2(c_2(c_0(c_2(c_0(c_1(c_1(c_1(c_1(c_0(c_1(z0)))))))))))))))))) -> c23(1'(2(2(0(1(1(1(1(0(0(3(2(1(0(2(3(1(1(z0)))))))))))))))))), 2'(2(0(1(1(1(1(0(0(3(2(1(0(2(3(1(1(z0))))))))))))))))), 2'(0(1(1(1(1(0(0(3(2(1(0(2(3(1(1(z0)))))))))))))))), 0'(1(1(1(1(0(0(3(2(1(0(2(3(1(1(z0))))))))))))))), 1'(1(1(1(0(0(3(2(1(0(2(3(1(1(z0)))))))))))))), 1'(1(1(0(0(3(2(1(0(2(3(1(1(z0))))))))))))), 1'(1(0(0(3(2(1(0(2(3(1(1(z0)))))))))))), 1'(0(0(3(2(1(0(2(3(1(1(z0))))))))))), 0'(0(3(2(1(0(2(3(1(1(z0)))))))))), 0'(3(2(1(0(2(3(1(1(z0))))))))), 3'(2(1(0(2(3(1(1(z0)))))))), 2'(1(0(2(3(1(1(z0))))))), 1'(0(2(3(1(1(z0)))))), 0'(2(3(1(1(z0))))), 2'(3(1(1(z0)))), 3'(1(1(z0))), 1'(1(z0)), 1'(z0))
   1'(c_0(c_3(c_1(c_2(c_0(c_3(c_3(c_2(c_1(c_2(c_0(c_0(c_1(c_0(c_2(c_1(c_3(z0)))))))))))))))))) -> c24(1'(0(3(3(1(0(2(0(3(1(0(3(2(1(2(2(1(0(z0)))))))))))))))))), 0'(3(3(1(0(2(0(3(1(0(3(2(1(2(2(1(0(z0))))))))))))))))), 3'(3(1(0(2(0(3(1(0(3(2(1(2(2(1(0(z0)))))))))))))))), 3'(1(0(2(0(3(1(0(3(2(1(2(2(1(0(z0))))))))))))))), 1'(0(2(0(3(1(0(3(2(1(2(2(1(0(z0)))))))))))))), 0'(2(0(3(1(0(3(2(1(2(2(1(0(z0))))))))))))), 2'(0(3(1(0(3(2(1(2(2(1(0(z0)))))))))))), 0'(3(1(0(3(2(1(2(2(1(0(z0))))))))))), 3'(1(0(3(2(1(2(2(1(0(z0)))))))))), 1'(0(3(2(1(2(2(1(0(z0))))))))), 0'(3(2(1(2(2(1(0(z0)))))))), 3'(2(1(2(2(1(0(z0))))))), 2'(1(2(2(1(0(z0)))))), 1'(2(2(1(0(z0))))), 2'(2(1(0(z0)))), 2'(1(0(z0))), 1'(0(z0)), 0'(z0))
   1'(c_1(c_3(c_2(c_1(c_0(c_0(c_3(c_3(c_1(c_1(c_3(c_2(c_0(c_1(c_2(c_1(c_1(z0)))))))))))))))))) -> c25(1'(1(2(3(3(0(0(3(3(1(1(1(1(1(0(2(2(1(z0)))))))))))))))))), 1'(2(3(3(0(0(3(3(1(1(1(1(1(0(2(2(1(z0))))))))))))))))), 2'(3(3(0(0(3(3(1(1(1(1(1(0(2(2(1(z0)))))))))))))))), 3'(3(0(0(3(3(1(1(1(1(1(0(2(2(1(z0))))))))))))))), 3'(0(0(3(3(1(1(1(1(1(0(2(2(1(z0)))))))))))))), 0'(0(3(3(1(1(1(1(1(0(2(2(1(z0))))))))))))), 0'(3(3(1(1(1(1(1(0(2(2(1(z0)))))))))))), 3'(3(1(1(1(1(1(0(2(2(1(z0))))))))))), 3'(1(1(1(1(1(0(2(2(1(z0)))))))))), 1'(1(1(1(1(0(2(2(1(z0))))))))), 1'(1(1(1(0(2(2(1(z0)))))))), 1'(1(1(0(2(2(1(z0))))))), 1'(1(0(2(2(1(z0)))))), 1'(0(2(2(1(z0))))), 0'(2(2(1(z0)))), 2'(2(1(z0))), 2'(1(z0)), 1'(z0))
   1'(c_1(c_2(c_0(c_3(c_0(c_2(c_1(c_3(c_3(c_0(c_3(c_3(c_3(c_3(c_3(c_1(c_2(z0)))))))))))))))))) -> c26(1'(0(3(3(0(3(3(1(0(2(3(1(1(3(2(3(2(3(z0)))))))))))))))))), 0'(3(3(0(3(3(1(0(2(3(1(1(3(2(3(2(3(z0))))))))))))))))), 3'(3(0(3(3(1(0(2(3(1(1(3(2(3(2(3(z0)))))))))))))))), 3'(0(3(3(1(0(2(3(1(1(3(2(3(2(3(z0))))))))))))))), 0'(3(3(1(0(2(3(1(1(3(2(3(2(3(z0)))))))))))))), 3'(3(1(0(2(3(1(1(3(2(3(2(3(z0))))))))))))), 3'(1(0(2(3(1(1(3(2(3(2(3(z0)))))))))))), 1'(0(2(3(1(1(3(2(3(2(3(z0))))))))))), 0'(2(3(1(1(3(2(3(2(3(z0)))))))))), 2'(3(1(1(3(2(3(2(3(z0))))))))), 3'(1(1(3(2(3(2(3(z0)))))))), 1'(1(3(2(3(2(3(z0))))))), 1'(3(2(3(2(3(z0)))))), 3'(2(3(2(3(z0))))), 2'(3(2(3(z0)))), 3'(2(3(z0))), 2'(3(z0)), 3'(z0))
   1'(c_3(c_0(c_3(c_0(c_1(c_3(c_1(c_2(c_1(c_0(c_2(c_1(c_1(c_3(c_0(c_1(c_1(z0)))))))))))))))))) -> c27(1'(0(1(0(3(1(3(1(0(1(1(3(2(3(0(2(1(1(z0)))))))))))))))))), 0'(1(0(3(1(3(1(0(1(1(3(2(3(0(2(1(1(z0))))))))))))))))), 1'(0(3(1(3(1(0(1(1(3(2(3(0(2(1(1(z0)))))))))))))))), 0'(3(1(3(1(0(1(1(3(2(3(0(2(1(1(z0))))))))))))))), 3'(1(3(1(0(1(1(3(2(3(0(2(1(1(z0)))))))))))))), 1'(3(1(0(1(1(3(2(3(0(2(1(1(z0))))))))))))), 3'(1(0(1(1(3(2(3(0(2(1(1(z0)))))))))))), 1'(0(1(1(3(2(3(0(2(1(1(z0))))))))))), 0'(1(1(3(2(3(0(2(1(1(z0)))))))))), 1'(1(3(2(3(0(2(1(1(z0))))))))), 1'(3(2(3(0(2(1(1(z0)))))))), 3'(2(3(0(2(1(1(z0))))))), 2'(3(0(2(1(1(z0)))))), 3'(0(2(1(1(z0))))), 0'(2(1(1(z0)))), 2'(1(1(z0))), 1'(1(z0)), 1'(z0))
   1'(c_3(c_3(c_3(c_1(c_2(c_0(c_1(c_2(c_0(c_0(c_2(c_1(c_3(c_3(c_3(c_0(c_2(z0)))))))))))))))))) -> c28(1'(3(1(1(0(3(3(0(2(0(1(3(0(3(2(3(2(2(z0)))))))))))))))))), 3'(1(1(0(3(3(0(2(0(1(3(0(3(2(3(2(2(z0))))))))))))))))), 1'(1(0(3(3(0(2(0(1(3(0(3(2(3(2(2(z0)))))))))))))))), 1'(0(3(3(0(2(0(1(3(0(3(2(3(2(2(z0))))))))))))))), 0'(3(3(0(2(0(1(3(0(3(2(3(2(2(z0)))))))))))))), 3'(3(0(2(0(1(3(0(3(2(3(2(2(z0))))))))))))), 3'(0(2(0(1(3(0(3(2(3(2(2(z0)))))))))))), 0'(2(0(1(3(0(3(2(3(2(2(z0))))))))))), 2'(0(1(3(0(3(2(3(2(2(z0)))))))))), 0'(1(3(0(3(2(3(2(2(z0))))))))), 1'(3(0(3(2(3(2(2(z0)))))))), 3'(0(3(2(3(2(2(z0))))))), 0'(3(2(3(2(2(z0)))))), 3'(2(3(2(2(z0))))), 2'(3(2(2(z0)))), 3'(2(2(z0))), 2'(2(z0)), 2'(z0))
   1'(c_1(c_2(c_1(c_0(c_0(c_3(c_0(c_3(c_1(c_3(c_0(c_1(c_3(c_1(c_3(c_3(c_3(z0)))))))))))))))))) -> c29(3'(0(1(1(1(1(3(0(3(1(1(0(3(0(2(3(3(3(z0)))))))))))))))))), 0'(1(1(1(1(3(0(3(1(1(0(3(0(2(3(3(3(z0))))))))))))))))), 1'(1(1(1(3(0(3(1(1(0(3(0(2(3(3(3(z0)))))))))))))))), 1'(1(1(3(0(3(1(1(0(3(0(2(3(3(3(z0))))))))))))))), 1'(1(3(0(3(1(1(0(3(0(2(3(3(3(z0)))))))))))))), 1'(3(0(3(1(1(0(3(0(2(3(3(3(z0))))))))))))), 3'(0(3(1(1(0(3(0(2(3(3(3(z0)))))))))))), 0'(3(1(1(0(3(0(2(3(3(3(z0))))))))))), 3'(1(1(0(3(0(2(3(3(3(z0)))))))))), 1'(1(0(3(0(2(3(3(3(z0))))))))), 1'(0(3(0(2(3(3(3(z0)))))))), 0'(3(0(2(3(3(3(z0))))))), 3'(0(2(3(3(3(z0)))))), 0'(2(3(3(3(z0))))), 2'(3(3(3(z0)))), 3'(3(3(z0))), 3'(3(z0)), 3'(z0))
   1'(c_3(c_0(c_1(c_3(c_1(c_2(c_1(c_2(c_1(c_2(c_2(c_2(c_1(c_3(c_0(c_1(c_3(z0)))))))))))))))))) -> c30(2'(3(2(1(1(2(2(1(3(1(0(2(1(1(1(0(3(3(z0)))))))))))))))))), 3'(2(1(1(2(2(1(3(1(0(2(1(1(1(0(3(3(z0))))))))))))))))), 2'(1(1(2(2(1(3(1(0(2(1(1(1(0(3(3(z0)))))))))))))))), 1'(1(2(2(1(3(1(0(2(1(1(1(0(3(3(z0))))))))))))))), 1'(2(2(1(3(1(0(2(1(1(1(0(3(3(z0)))))))))))))), 2'(2(1(3(1(0(2(1(1(1(0(3(3(z0))))))))))))), 2'(1(3(1(0(2(1(1(1(0(3(3(z0)))))))))))), 1'(3(1(0(2(1(1(1(0(3(3(z0))))))))))), 3'(1(0(2(1(1(1(0(3(3(z0)))))))))), 1'(0(2(1(1(1(0(3(3(z0))))))))), 0'(2(1(1(1(0(3(3(z0)))))))), 2'(1(1(1(0(3(3(z0))))))), 1'(1(1(0(3(3(z0)))))), 1'(1(0(3(3(z0))))), 1'(0(3(3(z0)))), 0'(3(3(z0))), 3'(3(z0)), 3'(z0))
   1'(c_2(c_2(c_3(c_3(c_2(c_0(c_1(c_3(c_1(c_2(c_0(c_3(c_0(c_3(c_2(c_0(c_2(z0)))))))))))))))))) -> c31(2'(3(1(0(3(1(0(2(3(3(2(2(0(0(3(1(2(2(z0)))))))))))))))))), 3'(1(0(3(1(0(2(3(3(2(2(0(0(3(1(2(2(z0))))))))))))))))), 1'(0(3(1(0(2(3(3(2(2(0(0(3(1(2(2(z0)))))))))))))))), 0'(3(1(0(2(3(3(2(2(0(0(3(1(2(2(z0))))))))))))))), 3'(1(0(2(3(3(2(2(0(0(3(1(2(2(z0)))))))))))))), 1'(0(2(3(3(2(2(0(0(3(1(2(2(z0))))))))))))), 0'(2(3(3(2(2(0(0(3(1(2(2(z0)))))))))))), 2'(3(3(2(2(0(0(3(1(2(2(z0))))))))))), 3'(3(2(2(0(0(3(1(2(2(z0)))))))))), 3'(2(2(0(0(3(1(2(2(z0))))))))), 2'(2(0(0(3(1(2(2(z0)))))))), 2'(0(0(3(1(2(2(z0))))))), 0'(0(3(1(2(2(z0)))))), 0'(3(1(2(2(z0))))), 3'(1(2(2(z0)))), 1'(2(2(z0))), 2'(2(z0)), 2'(z0))
   1'(c_3(c_2(c_1(c_0(c_1(c_2(c_1(c_3(c_1(c_1(c_3(c_3(c_3(c_0(c_2(c_1(c_3(z0)))))))))))))))))) -> c32(1'(0(3(1(1(2(2(3(2(3(1(1(3(1(1(0(3(3(z0)))))))))))))))))), 0'(3(1(1(2(2(3(2(3(1(1(3(1(1(0(3(3(z0))))))))))))))))), 3'(1(1(2(2(3(2(3(1(1(3(1(1(0(3(3(z0)))))))))))))))), 1'(1(2(2(3(2(3(1(1(3(1(1(0(3(3(z0))))))))))))))), 1'(2(2(3(2(3(1(1(3(1(1(0(3(3(z0)))))))))))))), 2'(2(3(2(3(1(1(3(1(1(0(3(3(z0))))))))))))), 2'(3(2(3(1(1(3(1(1(0(3(3(z0)))))))))))), 3'(2(3(1(1(3(1(1(0(3(3(z0))))))))))), 2'(3(1(1(3(1(1(0(3(3(z0)))))))))), 3'(1(1(3(1(1(0(3(3(z0))))))))), 1'(1(3(1(1(0(3(3(z0)))))))), 1'(3(1(1(0(3(3(z0))))))), 3'(1(1(0(3(3(z0)))))), 1'(1(0(3(3(z0))))), 1'(0(3(3(z0)))), 0'(3(3(z0))), 3'(3(z0)), 3'(z0))
   1'(c_3(c_3(c_1(c_3(c_2(c_2(c_2(c_2(c_2(c_0(c_1(c_2(c_2(c_0(c_3(c_0(c_3(z0)))))))))))))))))) -> c33(1'(3(2(0(1(0(2(2(2(2(2(1(0(3(3(3(2(3(z0)))))))))))))))))), 3'(2(0(1(0(2(2(2(2(2(1(0(3(3(3(2(3(z0))))))))))))))))), 2'(0(1(0(2(2(2(2(2(1(0(3(3(3(2(3(z0)))))))))))))))), 0'(1(0(2(2(2(2(2(1(0(3(3(3(2(3(z0))))))))))))))), 1'(0(2(2(2(2(2(1(0(3(3(3(2(3(z0)))))))))))))), 0'(2(2(2(2(2(1(0(3(3(3(2(3(z0))))))))))))), 2'(2(2(2(2(1(0(3(3(3(2(3(z0)))))))))))), 2'(2(2(2(1(0(3(3(3(2(3(z0))))))))))), 2'(2(2(1(0(3(3(3(2(3(z0)))))))))), 2'(2(1(0(3(3(3(2(3(z0))))))))), 2'(1(0(3(3(3(2(3(z0)))))))), 1'(0(3(3(3(2(3(z0))))))), 0'(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))
   1'(c_1(c_2(c_0(c_3(c_0(c_1(c_3(c_0(c_2(c_3(c_3(c_3(c_2(c_2(c_3(c_0(c_3(z0)))))))))))))))))) -> c34(3'(3(0(3(1(0(3(2(3(2(2(0(3(2(1(1(0(3(z0)))))))))))))))))), 3'(0(3(1(0(3(2(3(2(2(0(3(2(1(1(0(3(z0))))))))))))))))), 0'(3(1(0(3(2(3(2(2(0(3(2(1(1(0(3(z0)))))))))))))))), 3'(1(0(3(2(3(2(2(0(3(2(1(1(0(3(z0))))))))))))))), 1'(0(3(2(3(2(2(0(3(2(1(1(0(3(z0)))))))))))))), 0'(3(2(3(2(2(0(3(2(1(1(0(3(z0))))))))))))), 3'(2(3(2(2(0(3(2(1(1(0(3(z0)))))))))))), 2'(3(2(2(0(3(2(1(1(0(3(z0))))))))))), 3'(2(2(0(3(2(1(1(0(3(z0)))))))))), 2'(2(0(3(2(1(1(0(3(z0))))))))), 2'(0(3(2(1(1(0(3(z0)))))))), 0'(3(2(1(1(0(3(z0))))))), 3'(2(1(1(0(3(z0)))))), 2'(1(1(0(3(z0))))), 1'(1(0(3(z0)))), 1'(0(3(z0))), 0'(3(z0)), 3'(z0))
   2'(z0) -> c35
   2'(c_1(c_0(c_1(c_1(c_2(c_2(c_3(c_3(c_2(c_1(c_2(c_1(c_2(c_2(c_3(c_0(c_2(z0)))))))))))))))))) -> c36(2'(3(2(1(1(0(1(2(2(2(0(3(2(2(1(1(3(2(z0)))))))))))))))))), 3'(2(1(1(0(1(2(2(2(0(3(2(2(1(1(3(2(z0))))))))))))))))), 2'(1(1(0(1(2(2(2(0(3(2(2(1(1(3(2(z0)))))))))))))))), 1'(1(0(1(2(2(2(0(3(2(2(1(1(3(2(z0))))))))))))))), 1'(0(1(2(2(2(0(3(2(2(1(1(3(2(z0)))))))))))))), 0'(1(2(2(2(0(3(2(2(1(1(3(2(z0))))))))))))), 1'(2(2(2(0(3(2(2(1(1(3(2(z0)))))))))))), 2'(2(2(0(3(2(2(1(1(3(2(z0))))))))))), 2'(2(0(3(2(2(1(1(3(2(z0)))))))))), 2'(0(3(2(2(1(1(3(2(z0))))))))), 0'(3(2(2(1(1(3(2(z0)))))))), 3'(2(2(1(1(3(2(z0))))))), 2'(2(1(1(3(2(z0)))))), 2'(1(1(3(2(z0))))), 1'(1(3(2(z0)))), 1'(3(2(z0))), 3'(2(z0)), 2'(z0))
   2'(c_0(c_3(c_2(c_0(c_3(c_1(c_0(c_0(c_0(c_1(c_3(c_0(c_0(c_3(c_0(c_2(c_2(z0)))))))))))))))))) -> c37(2'(3(0(0(0(0(0(0(0(2(3(1(3(1(0(3(2(2(z0)))))))))))))))))), 3'(0(0(0(0(0(0(0(2(3(1(3(1(0(3(2(2(z0))))))))))))))))), 0'(0(0(0(0(0(0(2(3(1(3(1(0(3(2(2(z0)))))))))))))))), 0'(0(0(0(0(0(2(3(1(3(1(0(3(2(2(z0))))))))))))))), 0'(0(0(0(0(2(3(1(3(1(0(3(2(2(z0)))))))))))))), 0'(0(0(0(2(3(1(3(1(0(3(2(2(z0))))))))))))), 0'(0(0(2(3(1(3(1(0(3(2(2(z0)))))))))))), 0'(0(2(3(1(3(1(0(3(2(2(z0))))))))))), 0'(2(3(1(3(1(0(3(2(2(z0)))))))))), 2'(3(1(3(1(0(3(2(2(z0))))))))), 3'(1(3(1(0(3(2(2(z0)))))))), 1'(3(1(0(3(2(2(z0))))))), 3'(1(0(3(2(2(z0)))))), 1'(0(3(2(2(z0))))), 0'(3(2(2(z0)))), 3'(2(2(z0))), 2'(2(z0)), 2'(z0))
   2'(c_1(c_1(c_1(c_0(c_1(c_0(c_0(c_3(c_3(c_0(c_3(c_2(c_0(c_1(c_2(c_1(c_3(z0)))))))))))))))))) -> c38(2'(2(3(0(3(1(0(0(3(0(1(1(1(1(2(1(0(3(z0)))))))))))))))))), 2'(3(0(3(1(0(0(3(0(1(1(1(1(2(1(0(3(z0))))))))))))))))), 3'(0(3(1(0(0(3(0(1(1(1(1(2(1(0(3(z0)))))))))))))))), 0'(3(1(0(0(3(0(1(1(1(1(2(1(0(3(z0))))))))))))))), 3'(1(0(0(3(0(1(1(1(1(2(1(0(3(z0)))))))))))))), 1'(0(0(3(0(1(1(1(1(2(1(0(3(z0))))))))))))), 0'(0(3(0(1(1(1(1(2(1(0(3(z0)))))))))))), 0'(3(0(1(1(1(1(2(1(0(3(z0))))))))))), 3'(0(1(1(1(1(2(1(0(3(z0)))))))))), 0'(1(1(1(1(2(1(0(3(z0))))))))), 1'(1(1(1(2(1(0(3(z0)))))))), 1'(1(1(2(1(0(3(z0))))))), 1'(1(2(1(0(3(z0)))))), 1'(2(1(0(3(z0))))), 2'(1(0(3(z0)))), 1'(0(3(z0))), 0'(3(z0)), 3'(z0))
   2'(c_2(c_1(c_3(c_0(c_1(c_3(c_0(c_1(c_2(c_0(c_2(c_2(c_1(c_3(c_2(c_2(c_2(z0)))))))))))))))))) -> c39(1'(1(2(2(3(3(3(2(2(0(2(0(1(0(2(2(1(2(z0)))))))))))))))))), 1'(2(2(3(3(3(2(2(0(2(0(1(0(2(2(1(2(z0))))))))))))))))), 2'(2(3(3(3(2(2(0(2(0(1(0(2(2(1(2(z0)))))))))))))))), 2'(3(3(3(2(2(0(2(0(1(0(2(2(1(2(z0))))))))))))))), 3'(3(3(2(2(0(2(0(1(0(2(2(1(2(z0)))))))))))))), 3'(3(2(2(0(2(0(1(0(2(2(1(2(z0))))))))))))), 3'(2(2(0(2(0(1(0(2(2(1(2(z0)))))))))))), 2'(2(0(2(0(1(0(2(2(1(2(z0))))))))))), 2'(0(2(0(1(0(2(2(1(2(z0)))))))))), 0'(2(0(1(0(2(2(1(2(z0))))))))), 2'(0(1(0(2(2(1(2(z0)))))))), 0'(1(0(2(2(1(2(z0))))))), 1'(0(2(2(1(2(z0)))))), 0'(2(2(1(2(z0))))), 2'(2(1(2(z0)))), 2'(1(2(z0))), 1'(2(z0)), 2'(z0))
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   2'(c_0(c_1(c_2(c_0(c_0(c_0(c_2(c_2(c_1(c_3(c_2(c_1(c_0(c_1(c_0(c_2(c_0(z0)))))))))))))))))) -> c55(2'(0(2(0(1(0(1(1(0(1(0(3(2(0(2(2(2(0(z0)))))))))))))))))), 0'(2(0(1(0(1(1(0(1(0(3(2(0(2(2(2(0(z0))))))))))))))))), 2'(0(1(0(1(1(0(1(0(3(2(0(2(2(2(0(z0)))))))))))))))), 0'(1(0(1(1(0(1(0(3(2(0(2(2(2(0(z0))))))))))))))), 1'(0(1(1(0(1(0(3(2(0(2(2(2(0(z0)))))))))))))), 0'(1(1(0(1(0(3(2(0(2(2(2(0(z0))))))))))))), 1'(1(0(1(0(3(2(0(2(2(2(0(z0)))))))))))), 1'(0(1(0(3(2(0(2(2(2(0(z0))))))))))), 0'(1(0(3(2(0(2(2(2(0(z0)))))))))), 1'(0(3(2(0(2(2(2(0(z0))))))))), 0'(3(2(0(2(2(2(0(z0)))))))), 3'(2(0(2(2(2(0(z0))))))), 2'(0(2(2(2(0(z0)))))), 0'(2(2(2(0(z0))))), 2'(2(2(0(z0)))), 2'(2(0(z0))), 2'(0(z0)), 0'(z0))
   2'(c_1(c_3(c_1(c_1(c_2(c_1(c_2(c_3(c_0(c_3(c_2(c_0(c_1(c_0(c_1(c_2(c_1(z0)))))))))))))))))) -> c56(3'(0(0(3(1(1(1(1(1(2(3(2(0(2(2(1(2(1(z0)))))))))))))))))), 0'(0(3(1(1(1(1(1(2(3(2(0(2(2(1(2(1(z0))))))))))))))))), 0'(3(1(1(1(1(1(2(3(2(0(2(2(1(2(1(z0)))))))))))))))), 3'(1(1(1(1(1(2(3(2(0(2(2(1(2(1(z0))))))))))))))), 1'(1(1(1(1(2(3(2(0(2(2(1(2(1(z0)))))))))))))), 1'(1(1(1(2(3(2(0(2(2(1(2(1(z0))))))))))))), 1'(1(1(2(3(2(0(2(2(1(2(1(z0)))))))))))), 1'(1(2(3(2(0(2(2(1(2(1(z0))))))))))), 1'(2(3(2(0(2(2(1(2(1(z0)))))))))), 2'(3(2(0(2(2(1(2(1(z0))))))))), 3'(2(0(2(2(1(2(1(z0)))))))), 2'(0(2(2(1(2(1(z0))))))), 0'(2(2(1(2(1(z0)))))), 2'(2(1(2(1(z0))))), 2'(1(2(1(z0)))), 1'(2(1(z0))), 2'(1(z0)), 1'(z0))
   2'(c_3(c_2(c_1(c_3(c_1(c_2(c_0(c_0(c_1(c_3(c_0(c_1(c_2(c_0(c_3(c_1(c_1(z0)))))))))))))))))) -> c57(1'(2(3(1(1(0(1(3(0(0(0(3(2(3(2(2(1(1(z0)))))))))))))))))), 2'(3(1(1(0(1(3(0(0(0(3(2(3(2(2(1(1(z0))))))))))))))))), 3'(1(1(0(1(3(0(0(0(3(2(3(2(2(1(1(z0)))))))))))))))), 1'(1(0(1(3(0(0(0(3(2(3(2(2(1(1(z0))))))))))))))), 1'(0(1(3(0(0(0(3(2(3(2(2(1(1(z0)))))))))))))), 0'(1(3(0(0(0(3(2(3(2(2(1(1(z0))))))))))))), 1'(3(0(0(0(3(2(3(2(2(1(1(z0)))))))))))), 3'(0(0(0(3(2(3(2(2(1(1(z0))))))))))), 0'(0(0(3(2(3(2(2(1(1(z0)))))))))), 0'(0(3(2(3(2(2(1(1(z0))))))))), 0'(3(2(3(2(2(1(1(z0)))))))), 3'(2(3(2(2(1(1(z0))))))), 2'(3(2(2(1(1(z0)))))), 3'(2(2(1(1(z0))))), 2'(2(1(1(z0)))), 2'(1(1(z0))), 1'(1(z0)), 1'(z0))
   2'(c_3(c_2(c_1(c_2(c_0(c_3(c_0(c_1(c_3(c_3(c_3(c_0(c_2(c_3(c_0(c_0(c_0(z0)))))))))))))))))) -> c58(3'(0(0(3(0(2(3(1(1(3(3(2(2(0(3(0(2(0(z0)))))))))))))))))), 0'(0(3(0(2(3(1(1(3(3(2(2(0(3(0(2(0(z0))))))))))))))))), 0'(3(0(2(3(1(1(3(3(2(2(0(3(0(2(0(z0)))))))))))))))), 3'(0(2(3(1(1(3(3(2(2(0(3(0(2(0(z0))))))))))))))), 0'(2(3(1(1(3(3(2(2(0(3(0(2(0(z0)))))))))))))), 2'(3(1(1(3(3(2(2(0(3(0(2(0(z0))))))))))))), 3'(1(1(3(3(2(2(0(3(0(2(0(z0)))))))))))), 1'(1(3(3(2(2(0(3(0(2(0(z0))))))))))), 1'(3(3(2(2(0(3(0(2(0(z0)))))))))), 3'(3(2(2(0(3(0(2(0(z0))))))))), 3'(2(2(0(3(0(2(0(z0)))))))), 2'(2(0(3(0(2(0(z0))))))), 2'(0(3(0(2(0(z0)))))), 0'(3(0(2(0(z0))))), 3'(0(2(0(z0)))), 0'(2(0(z0))), 2'(0(z0)), 0'(z0))
   3'(z0) -> c59
   3'(c_0(c_0(c_3(c_1(c_3(c_3(c_2(c_2(c_1(c_1(c_0(c_2(c_1(c_2(c_0(c_2(c_0(z0)))))))))))))))))) -> c60(3'(3(1(0(2(0(2(0(2(0(2(3(1(1(3(1(0(2(z0)))))))))))))))))), 3'(1(0(2(0(2(0(2(0(2(3(1(1(3(1(0(2(z0))))))))))))))))), 1'(0(2(0(2(0(2(0(2(3(1(1(3(1(0(2(z0)))))))))))))))), 0'(2(0(2(0(2(0(2(3(1(1(3(1(0(2(z0))))))))))))))), 2'(0(2(0(2(0(2(3(1(1(3(1(0(2(z0)))))))))))))), 0'(2(0(2(0(2(3(1(1(3(1(0(2(z0))))))))))))), 2'(0(2(0(2(3(1(1(3(1(0(2(z0)))))))))))), 0'(2(0(2(3(1(1(3(1(0(2(z0))))))))))), 2'(0(2(3(1(1(3(1(0(2(z0)))))))))), 0'(2(3(1(1(3(1(0(2(z0))))))))), 2'(3(1(1(3(1(0(2(z0)))))))), 3'(1(1(3(1(0(2(z0))))))), 1'(1(3(1(0(2(z0)))))), 1'(3(1(0(2(z0))))), 3'(1(0(2(z0)))), 1'(0(2(z0))), 0'(2(z0)), 2'(z0))
   3'(c_2(c_0(c_1(c_0(c_0(c_0(c_3(c_1(c_3(c_1(c_3(c_3(c_2(c_0(c_1(c_1(c_1(z0)))))))))))))))))) -> c61(3'(2(0(3(0(1(1(1(0(1(1(0(3(0(3(2(3(1(z0)))))))))))))))))), 2'(0(3(0(1(1(1(0(1(1(0(3(0(3(2(3(1(z0))))))))))))))))), 0'(3(0(1(1(1(0(1(1(0(3(0(3(2(3(1(z0)))))))))))))))), 3'(0(1(1(1(0(1(1(0(3(0(3(2(3(1(z0))))))))))))))), 0'(1(1(1(0(1(1(0(3(0(3(2(3(1(z0)))))))))))))), 1'(1(1(0(1(1(0(3(0(3(2(3(1(z0))))))))))))), 1'(1(0(1(1(0(3(0(3(2(3(1(z0)))))))))))), 1'(0(1(1(0(3(0(3(2(3(1(z0))))))))))), 0'(1(1(0(3(0(3(2(3(1(z0)))))))))), 1'(1(0(3(0(3(2(3(1(z0))))))))), 1'(0(3(0(3(2(3(1(z0)))))))), 0'(3(0(3(2(3(1(z0))))))), 3'(0(3(2(3(1(z0)))))), 0'(3(2(3(1(z0))))), 3'(2(3(1(z0)))), 2'(3(1(z0))), 3'(1(z0)), 1'(z0))
   3'(c_2(c_2(c_3(c_1(c_2(c_2(c_2(c_1(c_3(c_3(c_3(c_0(c_2(c_1(c_3(c_2(c_1(z0)))))))))))))))))) -> c62(3'(2(2(1(2(2(2(3(2(3(3(1(1(3(3(0(2(1(z0)))))))))))))))))), 2'(2(1(2(2(2(3(2(3(3(1(1(3(3(0(2(1(z0))))))))))))))))), 2'(1(2(2(2(3(2(3(3(1(1(3(3(0(2(1(z0)))))))))))))))), 1'(2(2(2(3(2(3(3(1(1(3(3(0(2(1(z0))))))))))))))), 2'(2(2(3(2(3(3(1(1(3(3(0(2(1(z0)))))))))))))), 2'(2(3(2(3(3(1(1(3(3(0(2(1(z0))))))))))))), 2'(3(2(3(3(1(1(3(3(0(2(1(z0)))))))))))), 3'(2(3(3(1(1(3(3(0(2(1(z0))))))))))), 2'(3(3(1(1(3(3(0(2(1(z0)))))))))), 3'(3(1(1(3(3(0(2(1(z0))))))))), 3'(1(1(3(3(0(2(1(z0)))))))), 1'(1(3(3(0(2(1(z0))))))), 1'(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))
   3'(c_0(c_1(c_0(c_2(c_0(c_3(c_1(c_3(c_3(c_1(c_3(c_3(c_0(c_2(c_2(c_3(c_0(z0)))))))))))))))))) -> c63(3'(0(2(1(0(3(0(3(3(0(2(3(3(1(1(2(3(0(z0)))))))))))))))))), 0'(2(1(0(3(0(3(3(0(2(3(3(1(1(2(3(0(z0))))))))))))))))), 2'(1(0(3(0(3(3(0(2(3(3(1(1(2(3(0(z0)))))))))))))))), 1'(0(3(0(3(3(0(2(3(3(1(1(2(3(0(z0))))))))))))))), 0'(3(0(3(3(0(2(3(3(1(1(2(3(0(z0)))))))))))))), 3'(0(3(3(0(2(3(3(1(1(2(3(0(z0))))))))))))), 0'(3(3(0(2(3(3(1(1(2(3(0(z0)))))))))))), 3'(3(0(2(3(3(1(1(2(3(0(z0))))))))))), 3'(0(2(3(3(1(1(2(3(0(z0)))))))))), 0'(2(3(3(1(1(2(3(0(z0))))))))), 2'(3(3(1(1(2(3(0(z0)))))))), 3'(3(1(1(2(3(0(z0))))))), 3'(1(1(2(3(0(z0)))))), 1'(1(2(3(0(z0))))), 1'(2(3(0(z0)))), 2'(3(0(z0))), 3'(0(z0)), 0'(z0))
   3'(c_3(c_2(c_0(c_3(c_1(c_2(c_2(c_3(c_1(c_3(c_2(c_3(c_2(c_2(c_1(c_2(c_0(z0)))))))))))))))))) -> c64(3'(2(1(3(2(3(2(0(3(2(2(3(2(3(1(1(2(0(z0)))))))))))))))))), 2'(1(3(2(3(2(0(3(2(2(3(2(3(1(1(2(0(z0))))))))))))))))), 1'(3(2(3(2(0(3(2(2(3(2(3(1(1(2(0(z0)))))))))))))))), 3'(2(3(2(0(3(2(2(3(2(3(1(1(2(0(z0))))))))))))))), 2'(3(2(0(3(2(2(3(2(3(1(1(2(0(z0)))))))))))))), 3'(2(0(3(2(2(3(2(3(1(1(2(0(z0))))))))))))), 2'(0(3(2(2(3(2(3(1(1(2(0(z0)))))))))))), 0'(3(2(2(3(2(3(1(1(2(0(z0))))))))))), 3'(2(2(3(2(3(1(1(2(0(z0)))))))))), 2'(2(3(2(3(1(1(2(0(z0))))))))), 2'(3(2(3(1(1(2(0(z0)))))))), 3'(2(3(1(1(2(0(z0))))))), 2'(3(1(1(2(0(z0)))))), 3'(1(1(2(0(z0))))), 1'(1(2(0(z0)))), 1'(2(0(z0))), 2'(0(z0)), 0'(z0))
   3'(c_1(c_2(c_3(c_0(c_2(c_2(c_1(c_1(c_3(c_1(c_0(c_0(c_1(c_0(c_2(c_3(c_0(z0)))))))))))))))))) -> c65(3'(1(0(0(0(3(1(1(0(3(1(2(1(2(2(3(2(0(z0)))))))))))))))))), 1'(0(0(0(3(1(1(0(3(1(2(1(2(2(3(2(0(z0))))))))))))))))), 0'(0(0(3(1(1(0(3(1(2(1(2(2(3(2(0(z0)))))))))))))))), 0'(0(3(1(1(0(3(1(2(1(2(2(3(2(0(z0))))))))))))))), 0'(3(1(1(0(3(1(2(1(2(2(3(2(0(z0)))))))))))))), 3'(1(1(0(3(1(2(1(2(2(3(2(0(z0))))))))))))), 1'(1(0(3(1(2(1(2(2(3(2(0(z0)))))))))))), 1'(0(3(1(2(1(2(2(3(2(0(z0))))))))))), 0'(3(1(2(1(2(2(3(2(0(z0)))))))))), 3'(1(2(1(2(2(3(2(0(z0))))))))), 1'(2(1(2(2(3(2(0(z0)))))))), 2'(1(2(2(3(2(0(z0))))))), 1'(2(2(3(2(0(z0)))))), 2'(2(3(2(0(z0))))), 2'(3(2(0(z0)))), 3'(2(0(z0))), 2'(0(z0)), 0'(z0))
   3'(c_0(c_3(c_2(c_0(c_3(c_1(c_1(c_2(c_1(c_3(c_3(c_2(c_1(c_0(c_3(c_2(c_1(z0)))))))))))))))))) -> c66(2'(3(3(0(1(1(1(0(2(1(2(3(3(0(3(3(2(1(z0)))))))))))))))))), 3'(3(0(1(1(1(0(2(1(2(3(3(0(3(3(2(1(z0))))))))))))))))), 3'(0(1(1(1(0(2(1(2(3(3(0(3(3(2(1(z0)))))))))))))))), 0'(1(1(1(0(2(1(2(3(3(0(3(3(2(1(z0))))))))))))))), 1'(1(1(0(2(1(2(3(3(0(3(3(2(1(z0)))))))))))))), 1'(1(0(2(1(2(3(3(0(3(3(2(1(z0))))))))))))), 1'(0(2(1(2(3(3(0(3(3(2(1(z0)))))))))))), 0'(2(1(2(3(3(0(3(3(2(1(z0))))))))))), 2'(1(2(3(3(0(3(3(2(1(z0)))))))))), 1'(2(3(3(0(3(3(2(1(z0))))))))), 2'(3(3(0(3(3(2(1(z0)))))))), 3'(3(0(3(3(2(1(z0))))))), 3'(0(3(3(2(1(z0)))))), 0'(3(3(2(1(z0))))), 3'(3(2(1(z0)))), 3'(2(1(z0))), 2'(1(z0)), 1'(z0))
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   3'(c_1(c_2(c_0(c_3(c_0(c_1(c_2(c_0(c_3(c_3(c_2(c_3(c_2(c_2(c_1(c_2(c_3(z0)))))))))))))))))) -> c82(3'(1(3(2(1(1(3(2(0(0(0(3(2(2(2(3(2(3(z0)))))))))))))))))), 1'(3(2(1(1(3(2(0(0(0(3(2(2(2(3(2(3(z0))))))))))))))))), 3'(2(1(1(3(2(0(0(0(3(2(2(2(3(2(3(z0)))))))))))))))), 2'(1(1(3(2(0(0(0(3(2(2(2(3(2(3(z0))))))))))))))), 1'(1(3(2(0(0(0(3(2(2(2(3(2(3(z0)))))))))))))), 1'(3(2(0(0(0(3(2(2(2(3(2(3(z0))))))))))))), 3'(2(0(0(0(3(2(2(2(3(2(3(z0)))))))))))), 2'(0(0(0(3(2(2(2(3(2(3(z0))))))))))), 0'(0(0(3(2(2(2(3(2(3(z0)))))))))), 0'(0(3(2(2(2(3(2(3(z0))))))))), 0'(3(2(2(2(3(2(3(z0)))))))), 3'(2(2(2(3(2(3(z0))))))), 2'(2(2(3(2(3(z0)))))), 2'(2(3(2(3(z0))))), 2'(3(2(3(z0)))), 3'(2(3(z0))), 2'(3(z0)), 3'(z0))
   3'(c_3(c_2(c_1(c_1(c_1(c_1(c_3(c_0(c_0(c_3(c_1(c_2(c_0(c_2(c_2(c_3(c_0(z0)))))))))))))))))) -> c83(3'(3(1(1(0(1(0(2(0(1(1(2(3(3(2(2(3(0(z0)))))))))))))))))), 3'(1(1(0(1(0(2(0(1(1(2(3(3(2(2(3(0(z0))))))))))))))))), 1'(1(0(1(0(2(0(1(1(2(3(3(2(2(3(0(z0)))))))))))))))), 1'(0(1(0(2(0(1(1(2(3(3(2(2(3(0(z0))))))))))))))), 0'(1(0(2(0(1(1(2(3(3(2(2(3(0(z0)))))))))))))), 1'(0(2(0(1(1(2(3(3(2(2(3(0(z0))))))))))))), 0'(2(0(1(1(2(3(3(2(2(3(0(z0)))))))))))), 2'(0(1(1(2(3(3(2(2(3(0(z0))))))))))), 0'(1(1(2(3(3(2(2(3(0(z0)))))))))), 1'(1(2(3(3(2(2(3(0(z0))))))))), 1'(2(3(3(2(2(3(0(z0)))))))), 2'(3(3(2(2(3(0(z0))))))), 3'(3(2(2(3(0(z0)))))), 3'(2(2(3(0(z0))))), 2'(2(3(0(z0)))), 2'(3(0(z0))), 3'(0(z0)), 0'(z0))
   3'(c_0(c_1(c_3(c_2(c_3(c_3(c_2(c_0(c_1(c_1(c_2(c_0(c_1(c_3(c_1(c_3(c_2(z0)))))))))))))))))) -> c84(3'(2(3(3(0(3(1(1(0(2(2(3(1(2(1(1(0(3(z0)))))))))))))))))), 2'(3(3(0(3(1(1(0(2(2(3(1(2(1(1(0(3(z0))))))))))))))))), 3'(3(0(3(1(1(0(2(2(3(1(2(1(1(0(3(z0)))))))))))))))), 3'(0(3(1(1(0(2(2(3(1(2(1(1(0(3(z0))))))))))))))), 0'(3(1(1(0(2(2(3(1(2(1(1(0(3(z0)))))))))))))), 3'(1(1(0(2(2(3(1(2(1(1(0(3(z0))))))))))))), 1'(1(0(2(2(3(1(2(1(1(0(3(z0)))))))))))), 1'(0(2(2(3(1(2(1(1(0(3(z0))))))))))), 0'(2(2(3(1(2(1(1(0(3(z0)))))))))), 2'(2(3(1(2(1(1(0(3(z0))))))))), 2'(3(1(2(1(1(0(3(z0)))))))), 3'(1(2(1(1(0(3(z0))))))), 1'(2(1(1(0(3(z0)))))), 2'(1(1(0(3(z0))))), 1'(1(0(3(z0)))), 1'(0(3(z0))), 0'(3(z0)), 3'(z0))
   3'(c_0(c_2(c_1(c_3(c_3(c_0(c_1(c_1(c_3(c_0(c_1(c_2(c_3(c_1(c_2(c_1(c_3(z0)))))))))))))))))) -> c85(0'(1(1(2(3(2(3(1(0(2(1(1(1(0(3(3(3(3(z0)))))))))))))))))), 1'(1(2(3(2(3(1(0(2(1(1(1(0(3(3(3(3(z0))))))))))))))))), 1'(2(3(2(3(1(0(2(1(1(1(0(3(3(3(3(z0)))))))))))))))), 2'(3(2(3(1(0(2(1(1(1(0(3(3(3(3(z0))))))))))))))), 3'(2(3(1(0(2(1(1(1(0(3(3(3(3(z0)))))))))))))), 2'(3(1(0(2(1(1(1(0(3(3(3(3(z0))))))))))))), 3'(1(0(2(1(1(1(0(3(3(3(3(z0)))))))))))), 1'(0(2(1(1(1(0(3(3(3(3(z0))))))))))), 0'(2(1(1(1(0(3(3(3(3(z0)))))))))), 2'(1(1(1(0(3(3(3(3(z0))))))))), 1'(1(1(0(3(3(3(3(z0)))))))), 1'(1(0(3(3(3(3(z0))))))), 1'(0(3(3(3(3(z0)))))), 0'(3(3(3(3(z0))))), 3'(3(3(3(z0)))), 3'(3(3(z0))), 3'(3(z0)), 3'(z0))
   3'(c_3(c_2(c_0(c_3(c_2(c_1(c_2(c_2(c_1(c_2(c_0(c_1(c_2(c_3(c_3(c_2(c_0(z0)))))))))))))))))) -> c86(2'(0(3(3(1(2(1(2(1(0(2(3(3(2(3(2(2(0(z0)))))))))))))))))), 0'(3(3(1(2(1(2(1(0(2(3(3(2(3(2(2(0(z0))))))))))))))))), 3'(3(1(2(1(2(1(0(2(3(3(2(3(2(2(0(z0)))))))))))))))), 3'(1(2(1(2(1(0(2(3(3(2(3(2(2(0(z0))))))))))))))), 1'(2(1(2(1(0(2(3(3(2(3(2(2(0(z0)))))))))))))), 2'(1(2(1(0(2(3(3(2(3(2(2(0(z0))))))))))))), 1'(2(1(0(2(3(3(2(3(2(2(0(z0)))))))))))), 2'(1(0(2(3(3(2(3(2(2(0(z0))))))))))), 1'(0(2(3(3(2(3(2(2(0(z0)))))))))), 0'(2(3(3(2(3(2(2(0(z0))))))))), 2'(3(3(2(3(2(2(0(z0)))))))), 3'(3(2(3(2(2(0(z0))))))), 3'(2(3(2(2(0(z0)))))), 2'(3(2(2(0(z0))))), 3'(2(2(0(z0)))), 2'(2(0(z0))), 2'(0(z0)), 0'(z0))
   3'(c_2(c_1(c_3(c_2(c_2(c_3(c_3(c_3(c_2(c_1(c_2(c_0(c_1(c_0(c_1(c_1(c_2(z0)))))))))))))))))) -> c87(2'(3(1(1(0(2(2(0(3(3(3(1(2(3(1(2(1(2(z0)))))))))))))))))), 3'(1(1(0(2(2(0(3(3(3(1(2(3(1(2(1(2(z0))))))))))))))))), 1'(1(0(2(2(0(3(3(3(1(2(3(1(2(1(2(z0)))))))))))))))), 1'(0(2(2(0(3(3(3(1(2(3(1(2(1(2(z0))))))))))))))), 0'(2(2(0(3(3(3(1(2(3(1(2(1(2(z0)))))))))))))), 2'(2(0(3(3(3(1(2(3(1(2(1(2(z0))))))))))))), 2'(0(3(3(3(1(2(3(1(2(1(2(z0)))))))))))), 0'(3(3(3(1(2(3(1(2(1(2(z0))))))))))), 3'(3(3(1(2(3(1(2(1(2(z0)))))))))), 3'(3(1(2(3(1(2(1(2(z0))))))))), 3'(1(2(3(1(2(1(2(z0)))))))), 1'(2(3(1(2(1(2(z0))))))), 2'(3(1(2(1(2(z0)))))), 3'(1(2(1(2(z0))))), 1'(2(1(2(z0)))), 2'(1(2(z0))), 1'(2(z0)), 2'(z0))
   3'(c_0(c_3(c_0(c_1(c_3(c_0(c_2(c_0(c_1(c_1(c_0(c_1(c_0(c_2(c_3(c_0(c_3(z0)))))))))))))))))) -> c88(3'(0(0(2(1(1(0(1(0(3(2(1(0(0(3(3(0(3(z0)))))))))))))))))), 0'(0(2(1(1(0(1(0(3(2(1(0(0(3(3(0(3(z0))))))))))))))))), 0'(2(1(1(0(1(0(3(2(1(0(0(3(3(0(3(z0)))))))))))))))), 2'(1(1(0(1(0(3(2(1(0(0(3(3(0(3(z0))))))))))))))), 1'(1(0(1(0(3(2(1(0(0(3(3(0(3(z0)))))))))))))), 1'(0(1(0(3(2(1(0(0(3(3(0(3(z0))))))))))))), 0'(1(0(3(2(1(0(0(3(3(0(3(z0)))))))))))), 1'(0(3(2(1(0(0(3(3(0(3(z0))))))))))), 0'(3(2(1(0(0(3(3(0(3(z0)))))))))), 3'(2(1(0(0(3(3(0(3(z0))))))))), 2'(1(0(0(3(3(0(3(z0)))))))), 1'(0(0(3(3(0(3(z0))))))), 0'(0(3(3(0(3(z0)))))), 0'(3(3(0(3(z0))))), 3'(3(0(3(z0)))), 3'(0(3(z0))), 0'(3(z0)), 3'(z0))
   3'(c_2(c_0(c_2(c_2(c_0(c_0(c_2(c_3(c_0(c_2(c_3(c_0(c_1(c_2(c_2(c_0(c_2(z0)))))))))))))))))) -> c89(2'(0(3(2(2(2(0(3(2(0(2(1(3(2(0(0(0(2(z0)))))))))))))))))), 0'(3(2(2(2(0(3(2(0(2(1(3(2(0(0(0(2(z0))))))))))))))))), 3'(2(2(2(0(3(2(0(2(1(3(2(0(0(0(2(z0)))))))))))))))), 2'(2(2(0(3(2(0(2(1(3(2(0(0(0(2(z0))))))))))))))), 2'(2(0(3(2(0(2(1(3(2(0(0(0(2(z0)))))))))))))), 2'(0(3(2(0(2(1(3(2(0(0(0(2(z0))))))))))))), 0'(3(2(0(2(1(3(2(0(0(0(2(z0)))))))))))), 3'(2(0(2(1(3(2(0(0(0(2(z0))))))))))), 2'(0(2(1(3(2(0(0(0(2(z0)))))))))), 0'(2(1(3(2(0(0(0(2(z0))))))))), 2'(1(3(2(0(0(0(2(z0)))))))), 1'(3(2(0(0(0(2(z0))))))), 3'(2(0(0(0(2(z0)))))), 2'(0(0(0(2(z0))))), 0'(0(0(2(z0)))), 0'(0(2(z0))), 0'(2(z0)), 2'(z0))
   3'(c_2(c_3(c_2(c_1(c_3(c_0(c_1(c_2(c_1(c_2(c_2(c_1(c_0(c_1(c_1(c_0(c_0(z0)))))))))))))))))) -> c90(3'(2(2(0(1(1(1(1(1(0(0(0(3(2(2(1(3(2(z0)))))))))))))))))), 2'(2(0(1(1(1(1(1(0(0(0(3(2(2(1(3(2(z0))))))))))))))))), 2'(0(1(1(1(1(1(0(0(0(3(2(2(1(3(2(z0)))))))))))))))), 0'(1(1(1(1(1(0(0(0(3(2(2(1(3(2(z0))))))))))))))), 1'(1(1(1(1(0(0(0(3(2(2(1(3(2(z0)))))))))))))), 1'(1(1(1(0(0(0(3(2(2(1(3(2(z0))))))))))))), 1'(1(1(0(0(0(3(2(2(1(3(2(z0)))))))))))), 1'(1(0(0(0(3(2(2(1(3(2(z0))))))))))), 1'(0(0(0(3(2(2(1(3(2(z0)))))))))), 0'(0(0(3(2(2(1(3(2(z0))))))))), 0'(0(3(2(2(1(3(2(z0)))))))), 0'(3(2(2(1(3(2(z0))))))), 3'(2(2(1(3(2(z0)))))), 2'(2(1(3(2(z0))))), 2'(1(3(2(z0)))), 1'(3(2(z0))), 3'(2(z0)), 2'(z0))
   3'(c_2(c_3(c_1(c_1(c_1(c_3(c_2(c_2(c_1(c_2(c_1(c_0(c_0(c_3(c_1(c_3(c_3(z0)))))))))))))))))) -> c91(3'(2(3(2(0(3(1(1(2(3(2(0(1(3(1(1(1(3(z0)))))))))))))))))), 2'(3(2(0(3(1(1(2(3(2(0(1(3(1(1(1(3(z0))))))))))))))))), 3'(2(0(3(1(1(2(3(2(0(1(3(1(1(1(3(z0)))))))))))))))), 2'(0(3(1(1(2(3(2(0(1(3(1(1(1(3(z0))))))))))))))), 0'(3(1(1(2(3(2(0(1(3(1(1(1(3(z0)))))))))))))), 3'(1(1(2(3(2(0(1(3(1(1(1(3(z0))))))))))))), 1'(1(2(3(2(0(1(3(1(1(1(3(z0)))))))))))), 1'(2(3(2(0(1(3(1(1(1(3(z0))))))))))), 2'(3(2(0(1(3(1(1(1(3(z0)))))))))), 3'(2(0(1(3(1(1(1(3(z0))))))))), 2'(0(1(3(1(1(1(3(z0)))))))), 0'(1(3(1(1(1(3(z0))))))), 1'(3(1(1(1(3(z0)))))), 3'(1(1(1(3(z0))))), 1'(1(1(3(z0)))), 1'(1(3(z0))), 1'(3(z0)), 3'(z0))
S tuples:
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   1'(c_3(c_3(c_1(c_3(c_2(c_2(c_2(c_2(c_2(c_0(c_1(c_2(c_2(c_0(c_3(c_0(c_3(z0)))))))))))))))))) -> c33(1'(3(2(0(1(0(2(2(2(2(2(1(0(3(3(3(2(3(z0)))))))))))))))))), 3'(2(0(1(0(2(2(2(2(2(1(0(3(3(3(2(3(z0))))))))))))))))), 2'(0(1(0(2(2(2(2(2(1(0(3(3(3(2(3(z0)))))))))))))))), 0'(1(0(2(2(2(2(2(1(0(3(3(3(2(3(z0))))))))))))))), 1'(0(2(2(2(2(2(1(0(3(3(3(2(3(z0)))))))))))))), 0'(2(2(2(2(2(1(0(3(3(3(2(3(z0))))))))))))), 2'(2(2(2(2(1(0(3(3(3(2(3(z0)))))))))))), 2'(2(2(2(1(0(3(3(3(2(3(z0))))))))))), 2'(2(2(1(0(3(3(3(2(3(z0)))))))))), 2'(2(1(0(3(3(3(2(3(z0))))))))), 2'(1(0(3(3(3(2(3(z0)))))))), 1'(0(3(3(3(2(3(z0))))))), 0'(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))
   1'(c_1(c_2(c_0(c_3(c_0(c_1(c_3(c_0(c_2(c_3(c_3(c_3(c_2(c_2(c_3(c_0(c_3(z0)))))))))))))))))) -> c34(3'(3(0(3(1(0(3(2(3(2(2(0(3(2(1(1(0(3(z0)))))))))))))))))), 3'(0(3(1(0(3(2(3(2(2(0(3(2(1(1(0(3(z0))))))))))))))))), 0'(3(1(0(3(2(3(2(2(0(3(2(1(1(0(3(z0)))))))))))))))), 3'(1(0(3(2(3(2(2(0(3(2(1(1(0(3(z0))))))))))))))), 1'(0(3(2(3(2(2(0(3(2(1(1(0(3(z0)))))))))))))), 0'(3(2(3(2(2(0(3(2(1(1(0(3(z0))))))))))))), 3'(2(3(2(2(0(3(2(1(1(0(3(z0)))))))))))), 2'(3(2(2(0(3(2(1(1(0(3(z0))))))))))), 3'(2(2(0(3(2(1(1(0(3(z0)))))))))), 2'(2(0(3(2(1(1(0(3(z0))))))))), 2'(0(3(2(1(1(0(3(z0)))))))), 0'(3(2(1(1(0(3(z0))))))), 3'(2(1(1(0(3(z0)))))), 2'(1(1(0(3(z0))))), 1'(1(0(3(z0)))), 1'(0(3(z0))), 0'(3(z0)), 3'(z0))
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   3'(c_3(c_3(c_1(c_3(c_0(c_3(c_3(c_1(c_3(c_0(c_1(c_0(c_0(c_2(c_1(c_2(c_0(z0)))))))))))))))))) -> c78(3'(3(1(1(0(1(3(3(0(3(3(0(2(2(3(1(0(0(z0)))))))))))))))))), 3'(1(1(0(1(3(3(0(3(3(0(2(2(3(1(0(0(z0))))))))))))))))), 1'(1(0(1(3(3(0(3(3(0(2(2(3(1(0(0(z0)))))))))))))))), 1'(0(1(3(3(0(3(3(0(2(2(3(1(0(0(z0))))))))))))))), 0'(1(3(3(0(3(3(0(2(2(3(1(0(0(z0)))))))))))))), 1'(3(3(0(3(3(0(2(2(3(1(0(0(z0))))))))))))), 3'(3(0(3(3(0(2(2(3(1(0(0(z0)))))))))))), 3'(0(3(3(0(2(2(3(1(0(0(z0))))))))))), 0'(3(3(0(2(2(3(1(0(0(z0)))))))))), 3'(3(0(2(2(3(1(0(0(z0))))))))), 3'(0(2(2(3(1(0(0(z0)))))))), 0'(2(2(3(1(0(0(z0))))))), 2'(2(3(1(0(0(z0)))))), 2'(3(1(0(0(z0))))), 3'(1(0(0(z0)))), 1'(0(0(z0))), 0'(0(z0)), 0'(z0))
   3'(c_0(c_3(c_2(c_2(c_3(c_2(c_0(c_3(c_0(c_2(c_2(c_1(c_2(c_0(c_2(c_2(c_0(z0)))))))))))))))))) -> c79(3'(2(1(0(0(3(0(2(3(2(2(0(2(2(3(2(2(0(z0)))))))))))))))))), 2'(1(0(0(3(0(2(3(2(2(0(2(2(3(2(2(0(z0))))))))))))))))), 1'(0(0(3(0(2(3(2(2(0(2(2(3(2(2(0(z0)))))))))))))))), 0'(0(3(0(2(3(2(2(0(2(2(3(2(2(0(z0))))))))))))))), 0'(3(0(2(3(2(2(0(2(2(3(2(2(0(z0)))))))))))))), 3'(0(2(3(2(2(0(2(2(3(2(2(0(z0))))))))))))), 0'(2(3(2(2(0(2(2(3(2(2(0(z0)))))))))))), 2'(3(2(2(0(2(2(3(2(2(0(z0))))))))))), 3'(2(2(0(2(2(3(2(2(0(z0)))))))))), 2'(2(0(2(2(3(2(2(0(z0))))))))), 2'(0(2(2(3(2(2(0(z0)))))))), 0'(2(2(3(2(2(0(z0))))))), 2'(2(3(2(2(0(z0)))))), 2'(3(2(2(0(z0))))), 3'(2(2(0(z0)))), 2'(2(0(z0))), 2'(0(z0)), 0'(z0))
   3'(c_3(c_0(c_1(c_0(c_1(c_3(c_3(c_3(c_2(c_2(c_3(c_3(c_0(c_3(c_3(c_0(c_3(z0)))))))))))))))))) -> c80(3'(3(3(0(2(3(1(0(1(3(2(3(3(3(3(0(0(3(z0)))))))))))))))))), 3'(3(0(2(3(1(0(1(3(2(3(3(3(3(0(0(3(z0))))))))))))))))), 3'(0(2(3(1(0(1(3(2(3(3(3(3(0(0(3(z0)))))))))))))))), 0'(2(3(1(0(1(3(2(3(3(3(3(0(0(3(z0))))))))))))))), 2'(3(1(0(1(3(2(3(3(3(3(0(0(3(z0)))))))))))))), 3'(1(0(1(3(2(3(3(3(3(0(0(3(z0))))))))))))), 1'(0(1(3(2(3(3(3(3(0(0(3(z0)))))))))))), 0'(1(3(2(3(3(3(3(0(0(3(z0))))))))))), 1'(3(2(3(3(3(3(0(0(3(z0)))))))))), 3'(2(3(3(3(3(0(0(3(z0))))))))), 2'(3(3(3(3(0(0(3(z0)))))))), 3'(3(3(3(0(0(3(z0))))))), 3'(3(3(0(0(3(z0)))))), 3'(3(0(0(3(z0))))), 3'(0(0(3(z0)))), 0'(0(3(z0))), 0'(3(z0)), 3'(z0))
   3'(c_3(c_3(c_0(c_1(c_3(c_3(c_1(c_2(c_3(c_0(c_2(c_1(c_3(c_2(c_1(c_0(c_0(z0)))))))))))))))))) -> c81(3'(1(1(1(3(0(1(3(0(2(3(2(3(0(3(2(3(0(z0)))))))))))))))))), 1'(1(1(3(0(1(3(0(2(3(2(3(0(3(2(3(0(z0))))))))))))))))), 1'(1(3(0(1(3(0(2(3(2(3(0(3(2(3(0(z0)))))))))))))))), 1'(3(0(1(3(0(2(3(2(3(0(3(2(3(0(z0))))))))))))))), 3'(0(1(3(0(2(3(2(3(0(3(2(3(0(z0)))))))))))))), 0'(1(3(0(2(3(2(3(0(3(2(3(0(z0))))))))))))), 1'(3(0(2(3(2(3(0(3(2(3(0(z0)))))))))))), 3'(0(2(3(2(3(0(3(2(3(0(z0))))))))))), 0'(2(3(2(3(0(3(2(3(0(z0)))))))))), 2'(3(2(3(0(3(2(3(0(z0))))))))), 3'(2(3(0(3(2(3(0(z0)))))))), 2'(3(0(3(2(3(0(z0))))))), 3'(0(3(2(3(0(z0)))))), 0'(3(2(3(0(z0))))), 3'(2(3(0(z0)))), 2'(3(0(z0))), 3'(0(z0)), 0'(z0))
   3'(c_1(c_2(c_0(c_3(c_0(c_1(c_2(c_0(c_3(c_3(c_2(c_3(c_2(c_2(c_1(c_2(c_3(z0)))))))))))))))))) -> c82(3'(1(3(2(1(1(3(2(0(0(0(3(2(2(2(3(2(3(z0)))))))))))))))))), 1'(3(2(1(1(3(2(0(0(0(3(2(2(2(3(2(3(z0))))))))))))))))), 3'(2(1(1(3(2(0(0(0(3(2(2(2(3(2(3(z0)))))))))))))))), 2'(1(1(3(2(0(0(0(3(2(2(2(3(2(3(z0))))))))))))))), 1'(1(3(2(0(0(0(3(2(2(2(3(2(3(z0)))))))))))))), 1'(3(2(0(0(0(3(2(2(2(3(2(3(z0))))))))))))), 3'(2(0(0(0(3(2(2(2(3(2(3(z0)))))))))))), 2'(0(0(0(3(2(2(2(3(2(3(z0))))))))))), 0'(0(0(3(2(2(2(3(2(3(z0)))))))))), 0'(0(3(2(2(2(3(2(3(z0))))))))), 0'(3(2(2(2(3(2(3(z0)))))))), 3'(2(2(2(3(2(3(z0))))))), 2'(2(2(3(2(3(z0)))))), 2'(2(3(2(3(z0))))), 2'(3(2(3(z0)))), 3'(2(3(z0))), 2'(3(z0)), 3'(z0))
   3'(c_3(c_2(c_1(c_1(c_1(c_1(c_3(c_0(c_0(c_3(c_1(c_2(c_0(c_2(c_2(c_3(c_0(z0)))))))))))))))))) -> c83(3'(3(1(1(0(1(0(2(0(1(1(2(3(3(2(2(3(0(z0)))))))))))))))))), 3'(1(1(0(1(0(2(0(1(1(2(3(3(2(2(3(0(z0))))))))))))))))), 1'(1(0(1(0(2(0(1(1(2(3(3(2(2(3(0(z0)))))))))))))))), 1'(0(1(0(2(0(1(1(2(3(3(2(2(3(0(z0))))))))))))))), 0'(1(0(2(0(1(1(2(3(3(2(2(3(0(z0)))))))))))))), 1'(0(2(0(1(1(2(3(3(2(2(3(0(z0))))))))))))), 0'(2(0(1(1(2(3(3(2(2(3(0(z0)))))))))))), 2'(0(1(1(2(3(3(2(2(3(0(z0))))))))))), 0'(1(1(2(3(3(2(2(3(0(z0)))))))))), 1'(1(2(3(3(2(2(3(0(z0))))))))), 1'(2(3(3(2(2(3(0(z0)))))))), 2'(3(3(2(2(3(0(z0))))))), 3'(3(2(2(3(0(z0)))))), 3'(2(2(3(0(z0))))), 2'(2(3(0(z0)))), 2'(3(0(z0))), 3'(0(z0)), 0'(z0))
   3'(c_0(c_1(c_3(c_2(c_3(c_3(c_2(c_0(c_1(c_1(c_2(c_0(c_1(c_3(c_1(c_3(c_2(z0)))))))))))))))))) -> c84(3'(2(3(3(0(3(1(1(0(2(2(3(1(2(1(1(0(3(z0)))))))))))))))))), 2'(3(3(0(3(1(1(0(2(2(3(1(2(1(1(0(3(z0))))))))))))))))), 3'(3(0(3(1(1(0(2(2(3(1(2(1(1(0(3(z0)))))))))))))))), 3'(0(3(1(1(0(2(2(3(1(2(1(1(0(3(z0))))))))))))))), 0'(3(1(1(0(2(2(3(1(2(1(1(0(3(z0)))))))))))))), 3'(1(1(0(2(2(3(1(2(1(1(0(3(z0))))))))))))), 1'(1(0(2(2(3(1(2(1(1(0(3(z0)))))))))))), 1'(0(2(2(3(1(2(1(1(0(3(z0))))))))))), 0'(2(2(3(1(2(1(1(0(3(z0)))))))))), 2'(2(3(1(2(1(1(0(3(z0))))))))), 2'(3(1(2(1(1(0(3(z0)))))))), 3'(1(2(1(1(0(3(z0))))))), 1'(2(1(1(0(3(z0)))))), 2'(1(1(0(3(z0))))), 1'(1(0(3(z0)))), 1'(0(3(z0))), 0'(3(z0)), 3'(z0))
   3'(c_0(c_2(c_1(c_3(c_3(c_0(c_1(c_1(c_3(c_0(c_1(c_2(c_3(c_1(c_2(c_1(c_3(z0)))))))))))))))))) -> c85(0'(1(1(2(3(2(3(1(0(2(1(1(1(0(3(3(3(3(z0)))))))))))))))))), 1'(1(2(3(2(3(1(0(2(1(1(1(0(3(3(3(3(z0))))))))))))))))), 1'(2(3(2(3(1(0(2(1(1(1(0(3(3(3(3(z0)))))))))))))))), 2'(3(2(3(1(0(2(1(1(1(0(3(3(3(3(z0))))))))))))))), 3'(2(3(1(0(2(1(1(1(0(3(3(3(3(z0)))))))))))))), 2'(3(1(0(2(1(1(1(0(3(3(3(3(z0))))))))))))), 3'(1(0(2(1(1(1(0(3(3(3(3(z0)))))))))))), 1'(0(2(1(1(1(0(3(3(3(3(z0))))))))))), 0'(2(1(1(1(0(3(3(3(3(z0)))))))))), 2'(1(1(1(0(3(3(3(3(z0))))))))), 1'(1(1(0(3(3(3(3(z0)))))))), 1'(1(0(3(3(3(3(z0))))))), 1'(0(3(3(3(3(z0)))))), 0'(3(3(3(3(z0))))), 3'(3(3(3(z0)))), 3'(3(3(z0))), 3'(3(z0)), 3'(z0))
   3'(c_3(c_2(c_0(c_3(c_2(c_1(c_2(c_2(c_1(c_2(c_0(c_1(c_2(c_3(c_3(c_2(c_0(z0)))))))))))))))))) -> c86(2'(0(3(3(1(2(1(2(1(0(2(3(3(2(3(2(2(0(z0)))))))))))))))))), 0'(3(3(1(2(1(2(1(0(2(3(3(2(3(2(2(0(z0))))))))))))))))), 3'(3(1(2(1(2(1(0(2(3(3(2(3(2(2(0(z0)))))))))))))))), 3'(1(2(1(2(1(0(2(3(3(2(3(2(2(0(z0))))))))))))))), 1'(2(1(2(1(0(2(3(3(2(3(2(2(0(z0)))))))))))))), 2'(1(2(1(0(2(3(3(2(3(2(2(0(z0))))))))))))), 1'(2(1(0(2(3(3(2(3(2(2(0(z0)))))))))))), 2'(1(0(2(3(3(2(3(2(2(0(z0))))))))))), 1'(0(2(3(3(2(3(2(2(0(z0)))))))))), 0'(2(3(3(2(3(2(2(0(z0))))))))), 2'(3(3(2(3(2(2(0(z0)))))))), 3'(3(2(3(2(2(0(z0))))))), 3'(2(3(2(2(0(z0)))))), 2'(3(2(2(0(z0))))), 3'(2(2(0(z0)))), 2'(2(0(z0))), 2'(0(z0)), 0'(z0))
   3'(c_2(c_1(c_3(c_2(c_2(c_3(c_3(c_3(c_2(c_1(c_2(c_0(c_1(c_0(c_1(c_1(c_2(z0)))))))))))))))))) -> c87(2'(3(1(1(0(2(2(0(3(3(3(1(2(3(1(2(1(2(z0)))))))))))))))))), 3'(1(1(0(2(2(0(3(3(3(1(2(3(1(2(1(2(z0))))))))))))))))), 1'(1(0(2(2(0(3(3(3(1(2(3(1(2(1(2(z0)))))))))))))))), 1'(0(2(2(0(3(3(3(1(2(3(1(2(1(2(z0))))))))))))))), 0'(2(2(0(3(3(3(1(2(3(1(2(1(2(z0)))))))))))))), 2'(2(0(3(3(3(1(2(3(1(2(1(2(z0))))))))))))), 2'(0(3(3(3(1(2(3(1(2(1(2(z0)))))))))))), 0'(3(3(3(1(2(3(1(2(1(2(z0))))))))))), 3'(3(3(1(2(3(1(2(1(2(z0)))))))))), 3'(3(1(2(3(1(2(1(2(z0))))))))), 3'(1(2(3(1(2(1(2(z0)))))))), 1'(2(3(1(2(1(2(z0))))))), 2'(3(1(2(1(2(z0)))))), 3'(1(2(1(2(z0))))), 1'(2(1(2(z0)))), 2'(1(2(z0))), 1'(2(z0)), 2'(z0))
   3'(c_0(c_3(c_0(c_1(c_3(c_0(c_2(c_0(c_1(c_1(c_0(c_1(c_0(c_2(c_3(c_0(c_3(z0)))))))))))))))))) -> c88(3'(0(0(2(1(1(0(1(0(3(2(1(0(0(3(3(0(3(z0)))))))))))))))))), 0'(0(2(1(1(0(1(0(3(2(1(0(0(3(3(0(3(z0))))))))))))))))), 0'(2(1(1(0(1(0(3(2(1(0(0(3(3(0(3(z0)))))))))))))))), 2'(1(1(0(1(0(3(2(1(0(0(3(3(0(3(z0))))))))))))))), 1'(1(0(1(0(3(2(1(0(0(3(3(0(3(z0)))))))))))))), 1'(0(1(0(3(2(1(0(0(3(3(0(3(z0))))))))))))), 0'(1(0(3(2(1(0(0(3(3(0(3(z0)))))))))))), 1'(0(3(2(1(0(0(3(3(0(3(z0))))))))))), 0'(3(2(1(0(0(3(3(0(3(z0)))))))))), 3'(2(1(0(0(3(3(0(3(z0))))))))), 2'(1(0(0(3(3(0(3(z0)))))))), 1'(0(0(3(3(0(3(z0))))))), 0'(0(3(3(0(3(z0)))))), 0'(3(3(0(3(z0))))), 3'(3(0(3(z0)))), 3'(0(3(z0))), 0'(3(z0)), 3'(z0))
   3'(c_2(c_0(c_2(c_2(c_0(c_0(c_2(c_3(c_0(c_2(c_3(c_0(c_1(c_2(c_2(c_0(c_2(z0)))))))))))))))))) -> c89(2'(0(3(2(2(2(0(3(2(0(2(1(3(2(0(0(0(2(z0)))))))))))))))))), 0'(3(2(2(2(0(3(2(0(2(1(3(2(0(0(0(2(z0))))))))))))))))), 3'(2(2(2(0(3(2(0(2(1(3(2(0(0(0(2(z0)))))))))))))))), 2'(2(2(0(3(2(0(2(1(3(2(0(0(0(2(z0))))))))))))))), 2'(2(0(3(2(0(2(1(3(2(0(0(0(2(z0)))))))))))))), 2'(0(3(2(0(2(1(3(2(0(0(0(2(z0))))))))))))), 0'(3(2(0(2(1(3(2(0(0(0(2(z0)))))))))))), 3'(2(0(2(1(3(2(0(0(0(2(z0))))))))))), 2'(0(2(1(3(2(0(0(0(2(z0)))))))))), 0'(2(1(3(2(0(0(0(2(z0))))))))), 2'(1(3(2(0(0(0(2(z0)))))))), 1'(3(2(0(0(0(2(z0))))))), 3'(2(0(0(0(2(z0)))))), 2'(0(0(0(2(z0))))), 0'(0(0(2(z0)))), 0'(0(2(z0))), 0'(2(z0)), 2'(z0))
   3'(c_2(c_3(c_2(c_1(c_3(c_0(c_1(c_2(c_1(c_2(c_2(c_1(c_0(c_1(c_1(c_0(c_0(z0)))))))))))))))))) -> c90(3'(2(2(0(1(1(1(1(1(0(0(0(3(2(2(1(3(2(z0)))))))))))))))))), 2'(2(0(1(1(1(1(1(0(0(0(3(2(2(1(3(2(z0))))))))))))))))), 2'(0(1(1(1(1(1(0(0(0(3(2(2(1(3(2(z0)))))))))))))))), 0'(1(1(1(1(1(0(0(0(3(2(2(1(3(2(z0))))))))))))))), 1'(1(1(1(1(0(0(0(3(2(2(1(3(2(z0)))))))))))))), 1'(1(1(1(0(0(0(3(2(2(1(3(2(z0))))))))))))), 1'(1(1(0(0(0(3(2(2(1(3(2(z0)))))))))))), 1'(1(0(0(0(3(2(2(1(3(2(z0))))))))))), 1'(0(0(0(3(2(2(1(3(2(z0)))))))))), 0'(0(0(3(2(2(1(3(2(z0))))))))), 0'(0(3(2(2(1(3(2(z0)))))))), 0'(3(2(2(1(3(2(z0))))))), 3'(2(2(1(3(2(z0)))))), 2'(2(1(3(2(z0))))), 2'(1(3(2(z0)))), 1'(3(2(z0))), 3'(2(z0)), 2'(z0))
   3'(c_2(c_3(c_1(c_1(c_1(c_3(c_2(c_2(c_1(c_2(c_1(c_0(c_0(c_3(c_1(c_3(c_3(z0)))))))))))))))))) -> c91(3'(2(3(2(0(3(1(1(2(3(2(0(1(3(1(1(1(3(z0)))))))))))))))))), 2'(3(2(0(3(1(1(2(3(2(0(1(3(1(1(1(3(z0))))))))))))))))), 3'(2(0(3(1(1(2(3(2(0(1(3(1(1(1(3(z0)))))))))))))))), 2'(0(3(1(1(2(3(2(0(1(3(1(1(1(3(z0))))))))))))))), 0'(3(1(1(2(3(2(0(1(3(1(1(1(3(z0)))))))))))))), 3'(1(1(2(3(2(0(1(3(1(1(1(3(z0))))))))))))), 1'(1(2(3(2(0(1(3(1(1(1(3(z0)))))))))))), 1'(2(3(2(0(1(3(1(1(1(3(z0))))))))))), 2'(3(2(0(1(3(1(1(1(3(z0)))))))))), 3'(2(0(1(3(1(1(1(3(z0))))))))), 2'(0(1(3(1(1(1(3(z0)))))))), 0'(1(3(1(1(1(3(z0))))))), 1'(3(1(1(1(3(z0)))))), 3'(1(1(1(3(z0))))), 1'(1(1(3(z0)))), 1'(1(3(z0))), 1'(3(z0)), 3'(z0))
K tuples:none
Defined Rule Symbols:   0_1, 2_1, 3_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, c21_18, c22_18, c23_18, c24_18, c25_18, c26_18, c27_18, c28_18, c29_18, c30_18, c31_18, c32_18, c33_18, c34_18, c35, 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_18, c57_18, c58_18, c59, c60_18, c61_18, c62_18, c63_18, c64_18, c65_18, c66_18, c67_18, c68_18, c69_18, c70_18, c71_18, c72_18, c73_18, c74_18, c75_18, c76_18, c77_18, c78_18, c79_18, c80_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
   1'(z0) -> c20
   3'(z0) -> c59
   2'(z0) -> c35

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

(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_3(c_0(c_0(c_2(c_1(c_0(c_0(c_2(c_1(c_2(c_2(c_3(c_2(c_0(c_0(c_2(c_0(z0)))))))))))))))))) -> 0(2(0(0(0(2(0(3(0(2(2(0(1(1(3(2(2(0(z0))))))))))))))))))
   0(c_0(c_3(c_3(c_0(c_2(c_3(c_0(c_3(c_0(c_2(c_1(c_0(c_0(c_0(c_3(c_3(c_0(z0)))))))))))))))))) -> 0(0(3(1(0(3(0(0(3(3(0(3(3(0(0(2(0(2(z0))))))))))))))))))
   0(c_0(c_1(c_1(c_2(c_1(c_3(c_1(c_3(c_1(c_1(c_1(c_2(c_2(c_1(c_0(c_2(c_2(z0)))))))))))))))))) -> 2(1(1(1(1(0(3(1(1(1(2(0(3(1(0(2(2(2(z0))))))))))))))))))
   0(c_3(c_3(c_0(c_0(c_0(c_1(c_3(c_2(c_2(c_3(c_2(c_1(c_3(c_0(c_0(c_2(c_1(z0)))))))))))))))))) -> 0(2(2(0(0(3(0(2(3(1(0(3(1(0(3(2(3(1(z0))))))))))))))))))
   0(c_0(c_0(c_0(c_1(c_1(c_3(c_2(c_3(c_3(c_0(c_1(c_1(c_2(c_0(c_1(c_3(c_1(z0)))))))))))))))))) -> 0(0(0(1(1(1(0(1(3(3(1(0(3(2(0(2(3(1(z0))))))))))))))))))
   0(c_2(c_1(c_2(c_1(c_1(c_2(c_3(c_2(c_1(c_0(c_0(c_1(c_0(c_0(c_3(c_0(c_3(z0)))))))))))))))))) -> 0(3(2(0(0(1(2(1(0(2(1(1(3(1(0(0(2(3(z0))))))))))))))))))
   0(c_0(c_0(c_2(c_3(c_0(c_0(c_0(c_0(c_0(c_0(c_1(c_1(c_0(c_3(c_0(c_0(c_0(z0)))))))))))))))))) -> 0(0(3(1(0(0(0(0(2(0(0(0(3(1(0(0(0(0(z0))))))))))))))))))
   0(c_3(c_2(c_0(c_3(c_0(c_0(c_1(c_2(c_1(c_2(c_0(c_1(c_2(c_1(c_3(c_0(c_0(z0)))))))))))))))))) -> 0(2(2(0(3(3(1(0(0(3(0(2(1(1(0(1(2(0(z0))))))))))))))))))
   0(c_2(c_0(c_2(c_1(c_1(c_2(c_1(c_2(c_0(c_0(c_3(c_2(c_2(c_3(c_0(c_0(c_3(z0)))))))))))))))))) -> 0(3(2(2(0(2(2(2(2(0(3(0(1(0(1(1(0(3(z0))))))))))))))))))
   0(c_2(c_3(c_1(c_2(c_3(c_2(c_1(c_0(c_1(c_0(c_0(c_3(c_1(c_3(c_1(c_2(c_3(z0)))))))))))))))))) -> 0(2(3(3(1(2(1(1(1(0(2(3(1(0(2(0(3(3(z0))))))))))))))))))
   0(c_2(c_0(c_1(c_3(c_0(c_0(c_1(c_3(c_0(c_2(c_0(c_1(c_3(c_1(c_1(c_3(c_1(z0)))))))))))))))))) -> 0(2(0(1(3(1(1(2(1(0(0(3(3(0(0(1(3(1(z0))))))))))))))))))
   1(z0) -> c_1(z0)
   1(c_0(c_0(c_1(c_0(c_0(c_3(c_3(c_0(c_0(c_2(c_1(c_2(c_1(c_3(c_3(c_1(c_3(z0)))))))))))))))))) -> 1(0(3(0(0(3(3(0(0(2(1(0(3(1(2(3(1(1(z0))))))))))))))))))
   1(c_3(c_3(c_0(c_3(c_2(c_1(c_1(c_1(c_0(c_1(c_3(c_2(c_3(c_1(c_1(c_2(c_1(z0)))))))))))))))))) -> 1(3(1(3(0(1(1(3(2(3(2(2(0(3(1(1(1(1(z0))))))))))))))))))
   1(c_2(c_3(c_1(c_3(c_0(c_1(c_2(c_2(c_0(c_2(c_0(c_1(c_1(c_1(c_1(c_0(c_1(z0)))))))))))))))))) -> 1(2(2(0(1(1(1(1(0(0(3(2(1(0(2(3(1(1(z0))))))))))))))))))
   1(c_0(c_3(c_1(c_2(c_0(c_3(c_3(c_2(c_1(c_2(c_0(c_0(c_1(c_0(c_2(c_1(c_3(z0)))))))))))))))))) -> 1(0(3(3(1(0(2(0(3(1(0(3(2(1(2(2(1(0(z0))))))))))))))))))
   1(c_1(c_3(c_2(c_1(c_0(c_0(c_3(c_3(c_1(c_1(c_3(c_2(c_0(c_1(c_2(c_1(c_1(z0)))))))))))))))))) -> 1(1(2(3(3(0(0(3(3(1(1(1(1(1(0(2(2(1(z0))))))))))))))))))
   1(c_1(c_2(c_0(c_3(c_0(c_2(c_1(c_3(c_3(c_0(c_3(c_3(c_3(c_3(c_3(c_1(c_2(z0)))))))))))))))))) -> 1(0(3(3(0(3(3(1(0(2(3(1(1(3(2(3(2(3(z0))))))))))))))))))
   1(c_3(c_0(c_3(c_0(c_1(c_3(c_1(c_2(c_1(c_0(c_2(c_1(c_1(c_3(c_0(c_1(c_1(z0)))))))))))))))))) -> 1(0(1(0(3(1(3(1(0(1(1(3(2(3(0(2(1(1(z0))))))))))))))))))
   1(c_3(c_3(c_3(c_1(c_2(c_0(c_1(c_2(c_0(c_0(c_2(c_1(c_3(c_3(c_3(c_0(c_2(z0)))))))))))))))))) -> 1(3(1(1(0(3(3(0(2(0(1(3(0(3(2(3(2(2(z0))))))))))))))))))
   1(c_1(c_2(c_1(c_0(c_0(c_3(c_0(c_3(c_1(c_3(c_0(c_1(c_3(c_1(c_3(c_3(c_3(z0)))))))))))))))))) -> 3(0(1(1(1(1(3(0(3(1(1(0(3(0(2(3(3(3(z0))))))))))))))))))
   1(c_3(c_0(c_1(c_3(c_1(c_2(c_1(c_2(c_1(c_2(c_2(c_2(c_1(c_3(c_0(c_1(c_3(z0)))))))))))))))))) -> 2(3(2(1(1(2(2(1(3(1(0(2(1(1(1(0(3(3(z0))))))))))))))))))
   1(c_2(c_2(c_3(c_3(c_2(c_0(c_1(c_3(c_1(c_2(c_0(c_3(c_0(c_3(c_2(c_0(c_2(z0)))))))))))))))))) -> 2(3(1(0(3(1(0(2(3(3(2(2(0(0(3(1(2(2(z0))))))))))))))))))
   1(c_3(c_2(c_1(c_0(c_1(c_2(c_1(c_3(c_1(c_1(c_3(c_3(c_3(c_0(c_2(c_1(c_3(z0)))))))))))))))))) -> 1(0(3(1(1(2(2(3(2(3(1(1(3(1(1(0(3(3(z0))))))))))))))))))
   1(c_3(c_3(c_1(c_3(c_2(c_2(c_2(c_2(c_2(c_0(c_1(c_2(c_2(c_0(c_3(c_0(c_3(z0)))))))))))))))))) -> 1(3(2(0(1(0(2(2(2(2(2(1(0(3(3(3(2(3(z0))))))))))))))))))
   1(c_1(c_2(c_0(c_3(c_0(c_1(c_3(c_0(c_2(c_3(c_3(c_3(c_2(c_2(c_3(c_0(c_3(z0)))))))))))))))))) -> 3(3(0(3(1(0(3(2(3(2(2(0(3(2(1(1(0(3(z0))))))))))))))))))
   2(z0) -> c_2(z0)
   2(c_1(c_0(c_1(c_1(c_2(c_2(c_3(c_3(c_2(c_1(c_2(c_1(c_2(c_2(c_3(c_0(c_2(z0)))))))))))))))))) -> 2(3(2(1(1(0(1(2(2(2(0(3(2(2(1(1(3(2(z0))))))))))))))))))
   2(c_0(c_3(c_2(c_0(c_3(c_1(c_0(c_0(c_0(c_1(c_3(c_0(c_0(c_3(c_0(c_2(c_2(z0)))))))))))))))))) -> 2(3(0(0(0(0(0(0(0(2(3(1(3(1(0(3(2(2(z0))))))))))))))))))
   2(c_1(c_1(c_1(c_0(c_1(c_0(c_0(c_3(c_3(c_0(c_3(c_2(c_0(c_1(c_2(c_1(c_3(z0)))))))))))))))))) -> 2(2(3(0(3(1(0(0(3(0(1(1(1(1(2(1(0(3(z0))))))))))))))))))
   2(c_2(c_1(c_3(c_0(c_1(c_3(c_0(c_1(c_2(c_0(c_2(c_2(c_1(c_3(c_2(c_2(c_2(z0)))))))))))))))))) -> 1(1(2(2(3(3(3(2(2(0(2(0(1(0(2(2(1(2(z0))))))))))))))))))
   2(c_1(c_0(c_0(c_3(c_0(c_0(c_0(c_1(c_3(c_0(c_1(c_3(c_0(c_1(c_3(c_2(c_1(z0)))))))))))))))))) -> 3(0(0(0(1(1(2(3(3(0(0(3(0(1(0(2(1(1(z0))))))))))))))))))
   2(c_2(c_1(c_2(c_3(c_2(c_1(c_1(c_1(c_0(c_0(c_3(c_3(c_1(c_2(c_2(c_1(c_3(z0)))))))))))))))))) -> 2(2(1(1(1(2(1(2(3(2(3(1(3(1(0(2(0(3(z0))))))))))))))))))
   2(c_1(c_1(c_3(c_0(c_2(c_1(c_3(c_2(c_2(c_3(c_3(c_3(c_1(c_3(c_2(c_3(c_3(z0)))))))))))))))))) -> 2(2(3(3(1(2(1(0(1(1(3(3(2(3(3(2(3(3(z0))))))))))))))))))
   2(c_1(c_3(c_0(c_3(c_0(c_1(c_0(c_1(c_3(c_3(c_0(c_1(c_3(c_3(c_0(c_2(c_3(z0)))))))))))))))))) -> 2(3(3(0(3(3(0(0(3(2(3(1(1(1(0(3(1(0(z0))))))))))))))))))
   2(c_2(c_1(c_2(c_2(c_2(c_2(c_2(c_1(c_3(c_2(c_1(c_3(c_0(c_3(c_3(c_1(c_2(z0)))))))))))))))))) -> 2(2(0(2(2(2(3(1(2(1(3(2(3(1(1(2(3(2(z0))))))))))))))))))
   2(c_2(c_1(c_0(c_1(c_3(c_2(c_2(c_0(c_2(c_2(c_2(c_2(c_0(c_2(c_2(c_1(c_2(z0)))))))))))))))))) -> 2(3(2(2(2(1(2(2(2(0(1(0(2(2(0(2(1(2(z0))))))))))))))))))
   2(c_2(c_3(c_0(c_2(c_3(c_1(c_2(c_0(c_2(c_2(c_1(c_3(c_0(c_0(c_1(c_3(c_2(z0)))))))))))))))))) -> 3(0(2(1(3(2(2(1(1(2(0(3(0(0(2(2(3(2(z0))))))))))))))))))
   2(c_2(c_3(c_1(c_1(c_2(c_0(c_2(c_0(c_3(c_0(c_0(c_2(c_1(c_0(c_1(c_3(c_2(z0)))))))))))))))))) -> 2(2(3(2(2(0(3(0(3(1(0(1(1(1(2(2(0(0(z0))))))))))))))))))
   2(c_2(c_3(c_1(c_3(c_1(c_3(c_0(c_2(c_1(c_3(c_1(c_2(c_3(c_1(c_3(c_3(c_1(z0)))))))))))))))))) -> 2(3(3(1(3(1(3(3(2(3(1(1(2(3(2(1(0(1(z0))))))))))))))))))
   2(c_1(c_0(c_2(c_0(c_1(c_0(c_3(c_2(c_1(c_3(c_1(c_1(c_3(c_2(c_2(c_1(c_0(z0)))))))))))))))))) -> 2(3(1(2(3(2(2(1(2(0(0(1(0(3(1(1(1(0(z0))))))))))))))))))
   2(c_1(c_2(c_2(c_1(c_0(c_1(c_3(c_0(c_1(c_1(c_0(c_0(c_3(c_3(c_2(c_2(c_3(z0)))))))))))))))))) -> 2(0(3(1(0(1(3(1(3(2(2(2(2(0(1(1(0(3(z0))))))))))))))))))
   2(c_2(c_1(c_2(c_0(c_1(c_3(c_0(c_1(c_1(c_1(c_1(c_2(c_2(c_0(c_0(c_2(c_2(z0)))))))))))))))))) -> 2(0(0(1(1(0(2(2(3(1(2(2(1(2(1(1(0(2(z0))))))))))))))))))
   2(c_2(c_1(c_2(c_2(c_2(c_3(c_2(c_0(c_3(c_3(c_0(c_1(c_2(c_0(c_2(c_3(c_3(z0)))))))))))))))))) -> 2(3(1(3(1(0(2(2(3(0(2(2(2(3(2(2(0(3(z0))))))))))))))))))
   2(c_2(c_3(c_1(c_0(c_3(c_0(c_2(c_1(c_3(c_2(c_2(c_2(c_3(c_3(c_3(c_1(c_2(z0)))))))))))))))))) -> 1(1(0(3(2(2(3(2(2(1(0(2(3(3(2(3(3(2(z0))))))))))))))))))
   2(c_3(c_3(c_1(c_3(c_1(c_0(c_0(c_1(c_1(c_3(c_3(c_3(c_1(c_2(c_2(c_1(c_3(z0)))))))))))))))))) -> 2(2(1(3(3(1(1(0(3(1(1(1(3(3(2(3(0(3(z0))))))))))))))))))
   2(c_0(c_1(c_2(c_0(c_0(c_0(c_2(c_2(c_1(c_3(c_2(c_1(c_0(c_1(c_0(c_2(c_0(z0)))))))))))))))))) -> 2(0(2(0(1(0(1(1(0(1(0(3(2(0(2(2(2(0(z0))))))))))))))))))
   2(c_1(c_3(c_1(c_1(c_2(c_1(c_2(c_3(c_0(c_3(c_2(c_0(c_1(c_0(c_1(c_2(c_1(z0)))))))))))))))))) -> 3(0(0(3(1(1(1(1(1(2(3(2(0(2(2(1(2(1(z0))))))))))))))))))
   2(c_3(c_2(c_1(c_3(c_1(c_2(c_0(c_0(c_1(c_3(c_0(c_1(c_2(c_0(c_3(c_1(c_1(z0)))))))))))))))))) -> 1(2(3(1(1(0(1(3(0(0(0(3(2(3(2(2(1(1(z0))))))))))))))))))
   2(c_3(c_2(c_1(c_2(c_0(c_3(c_0(c_1(c_3(c_3(c_3(c_0(c_2(c_3(c_0(c_0(c_0(z0)))))))))))))))))) -> 3(0(0(3(0(2(3(1(1(3(3(2(2(0(3(0(2(0(z0))))))))))))))))))
   3(z0) -> c_3(z0)
   3(c_0(c_0(c_3(c_1(c_3(c_3(c_2(c_2(c_1(c_1(c_0(c_2(c_1(c_2(c_0(c_2(c_0(z0)))))))))))))))))) -> 3(3(1(0(2(0(2(0(2(0(2(3(1(1(3(1(0(2(z0))))))))))))))))))
   3(c_2(c_0(c_1(c_0(c_0(c_0(c_3(c_1(c_3(c_1(c_3(c_3(c_2(c_0(c_1(c_1(c_1(z0)))))))))))))))))) -> 3(2(0(3(0(1(1(1(0(1(1(0(3(0(3(2(3(1(z0))))))))))))))))))
   3(c_2(c_2(c_3(c_1(c_2(c_2(c_2(c_1(c_3(c_3(c_3(c_0(c_2(c_1(c_3(c_2(c_1(z0)))))))))))))))))) -> 3(2(2(1(2(2(2(3(2(3(3(1(1(3(3(0(2(1(z0))))))))))))))))))
   3(c_0(c_1(c_0(c_2(c_0(c_3(c_1(c_3(c_3(c_1(c_3(c_3(c_0(c_2(c_2(c_3(c_0(z0)))))))))))))))))) -> 3(0(2(1(0(3(0(3(3(0(2(3(3(1(1(2(3(0(z0))))))))))))))))))
   3(c_3(c_2(c_0(c_3(c_1(c_2(c_2(c_3(c_1(c_3(c_2(c_3(c_2(c_2(c_1(c_2(c_0(z0)))))))))))))))))) -> 3(2(1(3(2(3(2(0(3(2(2(3(2(3(1(1(2(0(z0))))))))))))))))))
   3(c_1(c_2(c_3(c_0(c_2(c_2(c_1(c_1(c_3(c_1(c_0(c_0(c_1(c_0(c_2(c_3(c_0(z0)))))))))))))))))) -> 3(1(0(0(0(3(1(1(0(3(1(2(1(2(2(3(2(0(z0))))))))))))))))))
   3(c_0(c_3(c_2(c_0(c_3(c_1(c_1(c_2(c_1(c_3(c_3(c_2(c_1(c_0(c_3(c_2(c_1(z0)))))))))))))))))) -> 2(3(3(0(1(1(1(0(2(1(2(3(3(0(3(3(2(1(z0))))))))))))))))))
   3(c_3(c_0(c_3(c_1(c_3(c_3(c_1(c_2(c_0(c_3(c_2(c_2(c_2(c_3(c_2(c_3(c_0(z0)))))))))))))))))) -> 3(2(3(1(0(3(2(1(2(3(3(3(0(0(3(3(2(2(z0))))))))))))))))))
   3(c_1(c_1(c_3(c_1(c_3(c_3(c_0(c_3(c_1(c_3(c_0(c_2(c_1(c_2(c_2(c_1(c_3(z0)))))))))))))))))) -> 3(3(3(2(0(2(1(1(2(3(1(1(3(0(3(1(1(3(z0))))))))))))))))))
   3(c_3(c_0(c_2(c_3(c_3(c_0(c_0(c_2(c_1(c_0(c_3(c_0(c_1(c_0(c_1(c_0(c_2(z0)))))))))))))))))) -> 2(0(3(3(3(0(2(0(3(1(1(1(0(0(0(0(3(2(z0))))))))))))))))))
   3(c_2(c_0(c_1(c_2(c_1(c_2(c_3(c_2(c_3(c_2(c_0(c_2(c_1(c_2(c_1(c_2(c_0(z0)))))))))))))))))) -> 2(1(1(3(2(0(2(3(1(1(2(2(0(2(3(2(2(0(z0))))))))))))))))))
   3(c_0(c_1(c_3(c_2(c_2(c_3(c_2(c_0(c_1(c_0(c_0(c_3(c_0(c_1(c_0(c_2(c_0(z0)))))))))))))))))) -> 2(3(1(2(0(2(0(3(1(0(0(0(3(2(3(1(0(0(z0))))))))))))))))))
   3(c_0(c_1(c_0(c_0(c_1(c_3(c_0(c_0(c_1(c_3(c_0(c_1(c_2(c_0(c_3(c_3(c_3(z0)))))))))))))))))) -> 1(1(3(0(0(3(1(0(1(0(2(3(0(3(3(0(0(3(z0))))))))))))))))))
   3(c_3(c_1(c_1(c_3(c_0(c_2(c_1(c_3(c_2(c_0(c_1(c_2(c_3(c_3(c_3(c_2(c_3(z0)))))))))))))))))) -> 3(1(0(3(1(1(0(3(3(2(2(2(2(3(1(3(3(3(z0))))))))))))))))))
   3(c_2(c_3(c_3(c_0(c_2(c_3(c_2(c_0(c_2(c_3(c_2(c_2(c_1(c_3(c_3(c_0(c_3(z0)))))))))))))))))) -> 3(3(2(2(3(3(2(3(0(0(3(2(2(1(0(3(2(3(z0))))))))))))))))))
   3(c_2(c_0(c_2(c_2(c_3(c_0(c_0(c_1(c_3(c_0(c_2(c_0(c_0(c_2(c_1(c_3(c_0(z0)))))))))))))))))) -> 2(1(0(0(0(0(3(2(3(0(3(1(3(0(0(2(2(2(z0))))))))))))))))))
   3(c_1(c_3(c_3(c_0(c_2(c_2(c_2(c_0(c_1(c_2(c_0(c_1(c_0(c_1(c_2(c_2(c_0(z0)))))))))))))))))) -> 3(2(3(2(0(3(1(2(1(1(1(2(0(0(0(2(2(0(z0))))))))))))))))))
   3(c_2(c_1(c_2(c_3(c_3(c_1(c_2(c_1(c_1(c_2(c_3(c_0(c_2(c_3(c_1(c_2(c_3(z0)))))))))))))))))) -> 2(0(2(3(1(1(3(3(1(2(2(2(3(3(1(1(2(3(z0))))))))))))))))))
   3(c_3(c_3(c_1(c_3(c_0(c_3(c_3(c_1(c_3(c_0(c_1(c_0(c_0(c_2(c_1(c_2(c_0(z0)))))))))))))))))) -> 3(3(1(1(0(1(3(3(0(3(3(0(2(2(3(1(0(0(z0))))))))))))))))))
   3(c_0(c_3(c_2(c_2(c_3(c_2(c_0(c_3(c_0(c_2(c_2(c_1(c_2(c_0(c_2(c_2(c_0(z0)))))))))))))))))) -> 3(2(1(0(0(3(0(2(3(2(2(0(2(2(3(2(2(0(z0))))))))))))))))))
   3(c_3(c_0(c_1(c_0(c_1(c_3(c_3(c_3(c_2(c_2(c_3(c_3(c_0(c_3(c_3(c_0(c_3(z0)))))))))))))))))) -> 3(3(3(0(2(3(1(0(1(3(2(3(3(3(3(0(0(3(z0))))))))))))))))))
   3(c_3(c_3(c_0(c_1(c_3(c_3(c_1(c_2(c_3(c_0(c_2(c_1(c_3(c_2(c_1(c_0(c_0(z0)))))))))))))))))) -> 3(1(1(1(3(0(1(3(0(2(3(2(3(0(3(2(3(0(z0))))))))))))))))))
   3(c_1(c_2(c_0(c_3(c_0(c_1(c_2(c_0(c_3(c_3(c_2(c_3(c_2(c_2(c_1(c_2(c_3(z0)))))))))))))))))) -> 3(1(3(2(1(1(3(2(0(0(0(3(2(2(2(3(2(3(z0))))))))))))))))))
   3(c_3(c_2(c_1(c_1(c_1(c_1(c_3(c_0(c_0(c_3(c_1(c_2(c_0(c_2(c_2(c_3(c_0(z0)))))))))))))))))) -> 3(3(1(1(0(1(0(2(0(1(1(2(3(3(2(2(3(0(z0))))))))))))))))))
   3(c_0(c_1(c_3(c_2(c_3(c_3(c_2(c_0(c_1(c_1(c_2(c_0(c_1(c_3(c_1(c_3(c_2(z0)))))))))))))))))) -> 3(2(3(3(0(3(1(1(0(2(2(3(1(2(1(1(0(3(z0))))))))))))))))))
   3(c_0(c_2(c_1(c_3(c_3(c_0(c_1(c_1(c_3(c_0(c_1(c_2(c_3(c_1(c_2(c_1(c_3(z0)))))))))))))))))) -> 0(1(1(2(3(2(3(1(0(2(1(1(1(0(3(3(3(3(z0))))))))))))))))))
   3(c_3(c_2(c_0(c_3(c_2(c_1(c_2(c_2(c_1(c_2(c_0(c_1(c_2(c_3(c_3(c_2(c_0(z0)))))))))))))))))) -> 2(0(3(3(1(2(1(2(1(0(2(3(3(2(3(2(2(0(z0))))))))))))))))))
   3(c_2(c_1(c_3(c_2(c_2(c_3(c_3(c_3(c_2(c_1(c_2(c_0(c_1(c_0(c_1(c_1(c_2(z0)))))))))))))))))) -> 2(3(1(1(0(2(2(0(3(3(3(1(2(3(1(2(1(2(z0))))))))))))))))))
   3(c_0(c_3(c_0(c_1(c_3(c_0(c_2(c_0(c_1(c_1(c_0(c_1(c_0(c_2(c_3(c_0(c_3(z0)))))))))))))))))) -> 3(0(0(2(1(1(0(1(0(3(2(1(0(0(3(3(0(3(z0))))))))))))))))))
   3(c_2(c_0(c_2(c_2(c_0(c_0(c_2(c_3(c_0(c_2(c_3(c_0(c_1(c_2(c_2(c_0(c_2(z0)))))))))))))))))) -> 2(0(3(2(2(2(0(3(2(0(2(1(3(2(0(0(0(2(z0))))))))))))))))))
   3(c_2(c_3(c_2(c_1(c_3(c_0(c_1(c_2(c_1(c_2(c_2(c_1(c_0(c_1(c_1(c_0(c_0(z0)))))))))))))))))) -> 3(2(2(0(1(1(1(1(1(0(0(0(3(2(2(1(3(2(z0))))))))))))))))))
   3(c_2(c_3(c_1(c_1(c_1(c_3(c_2(c_2(c_1(c_2(c_1(c_0(c_0(c_3(c_1(c_3(c_3(z0)))))))))))))))))) -> 3(2(3(2(0(3(1(1(2(3(2(0(1(3(1(1(1(3(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_3(c_0(c_0(c_2(c_1(c_0(c_0(c_2(c_1(c_2(c_2(c_3(c_2(c_0(c_0(c_2(c_0(z0)))))))))))))))))) -> c9(0'(2(0(0(0(2(0(3(0(2(2(0(1(1(3(2(2(0(z0)))))))))))))))))), 2'(0(0(0(2(0(3(0(2(2(0(1(1(3(2(2(0(z0))))))))))))))))), 0'(0(0(2(0(3(0(2(2(0(1(1(3(2(2(0(z0)))))))))))))))), 0'(0(2(0(3(0(2(2(0(1(1(3(2(2(0(z0))))))))))))))), 0'(2(0(3(0(2(2(0(1(1(3(2(2(0(z0)))))))))))))), 2'(0(3(0(2(2(0(1(1(3(2(2(0(z0))))))))))))), 0'(3(0(2(2(0(1(1(3(2(2(0(z0)))))))))))), 3'(0(2(2(0(1(1(3(2(2(0(z0))))))))))), 0'(2(2(0(1(1(3(2(2(0(z0)))))))))), 2'(2(0(1(1(3(2(2(0(z0))))))))), 2'(0(1(1(3(2(2(0(z0)))))))), 0'(1(1(3(2(2(0(z0))))))), 1'(1(3(2(2(0(z0)))))), 1'(3(2(2(0(z0))))), 3'(2(2(0(z0)))), 2'(2(0(z0))), 2'(0(z0)), 0'(z0))
   0'(c_0(c_3(c_3(c_0(c_2(c_3(c_0(c_3(c_0(c_2(c_1(c_0(c_0(c_0(c_3(c_3(c_0(z0)))))))))))))))))) -> c10(0'(0(3(1(0(3(0(0(3(3(0(3(3(0(0(2(0(2(z0)))))))))))))))))), 0'(3(1(0(3(0(0(3(3(0(3(3(0(0(2(0(2(z0))))))))))))))))), 3'(1(0(3(0(0(3(3(0(3(3(0(0(2(0(2(z0)))))))))))))))), 1'(0(3(0(0(3(3(0(3(3(0(0(2(0(2(z0))))))))))))))), 0'(3(0(0(3(3(0(3(3(0(0(2(0(2(z0)))))))))))))), 3'(0(0(3(3(0(3(3(0(0(2(0(2(z0))))))))))))), 0'(0(3(3(0(3(3(0(0(2(0(2(z0)))))))))))), 0'(3(3(0(3(3(0(0(2(0(2(z0))))))))))), 3'(3(0(3(3(0(0(2(0(2(z0)))))))))), 3'(0(3(3(0(0(2(0(2(z0))))))))), 0'(3(3(0(0(2(0(2(z0)))))))), 3'(3(0(0(2(0(2(z0))))))), 3'(0(0(2(0(2(z0)))))), 0'(0(2(0(2(z0))))), 0'(2(0(2(z0)))), 2'(0(2(z0))), 0'(2(z0)), 2'(z0))
   0'(c_0(c_1(c_1(c_2(c_1(c_3(c_1(c_3(c_1(c_1(c_1(c_2(c_2(c_1(c_0(c_2(c_2(z0)))))))))))))))))) -> c11(2'(1(1(1(1(0(3(1(1(1(2(0(3(1(0(2(2(2(z0)))))))))))))))))), 1'(1(1(1(0(3(1(1(1(2(0(3(1(0(2(2(2(z0))))))))))))))))), 1'(1(1(0(3(1(1(1(2(0(3(1(0(2(2(2(z0)))))))))))))))), 1'(1(0(3(1(1(1(2(0(3(1(0(2(2(2(z0))))))))))))))), 1'(0(3(1(1(1(2(0(3(1(0(2(2(2(z0)))))))))))))), 0'(3(1(1(1(2(0(3(1(0(2(2(2(z0))))))))))))), 3'(1(1(1(2(0(3(1(0(2(2(2(z0)))))))))))), 1'(1(1(2(0(3(1(0(2(2(2(z0))))))))))), 1'(1(2(0(3(1(0(2(2(2(z0)))))))))), 1'(2(0(3(1(0(2(2(2(z0))))))))), 2'(0(3(1(0(2(2(2(z0)))))))), 0'(3(1(0(2(2(2(z0))))))), 3'(1(0(2(2(2(z0)))))), 1'(0(2(2(2(z0))))), 0'(2(2(2(z0)))), 2'(2(2(z0))), 2'(2(z0)), 2'(z0))
   0'(c_3(c_3(c_0(c_0(c_0(c_1(c_3(c_2(c_2(c_3(c_2(c_1(c_3(c_0(c_0(c_2(c_1(z0)))))))))))))))))) -> c12(0'(2(2(0(0(3(0(2(3(1(0(3(1(0(3(2(3(1(z0)))))))))))))))))), 2'(2(0(0(3(0(2(3(1(0(3(1(0(3(2(3(1(z0))))))))))))))))), 2'(0(0(3(0(2(3(1(0(3(1(0(3(2(3(1(z0)))))))))))))))), 0'(0(3(0(2(3(1(0(3(1(0(3(2(3(1(z0))))))))))))))), 0'(3(0(2(3(1(0(3(1(0(3(2(3(1(z0)))))))))))))), 3'(0(2(3(1(0(3(1(0(3(2(3(1(z0))))))))))))), 0'(2(3(1(0(3(1(0(3(2(3(1(z0)))))))))))), 2'(3(1(0(3(1(0(3(2(3(1(z0))))))))))), 3'(1(0(3(1(0(3(2(3(1(z0)))))))))), 1'(0(3(1(0(3(2(3(1(z0))))))))), 0'(3(1(0(3(2(3(1(z0)))))))), 3'(1(0(3(2(3(1(z0))))))), 1'(0(3(2(3(1(z0)))))), 0'(3(2(3(1(z0))))), 3'(2(3(1(z0)))), 2'(3(1(z0))), 3'(1(z0)), 1'(z0))
   0'(c_0(c_0(c_0(c_1(c_1(c_3(c_2(c_3(c_3(c_0(c_1(c_1(c_2(c_0(c_1(c_3(c_1(z0)))))))))))))))))) -> c13(0'(0(0(1(1(1(0(1(3(3(1(0(3(2(0(2(3(1(z0)))))))))))))))))), 0'(0(1(1(1(0(1(3(3(1(0(3(2(0(2(3(1(z0))))))))))))))))), 0'(1(1(1(0(1(3(3(1(0(3(2(0(2(3(1(z0)))))))))))))))), 1'(1(1(0(1(3(3(1(0(3(2(0(2(3(1(z0))))))))))))))), 1'(1(0(1(3(3(1(0(3(2(0(2(3(1(z0)))))))))))))), 1'(0(1(3(3(1(0(3(2(0(2(3(1(z0))))))))))))), 0'(1(3(3(1(0(3(2(0(2(3(1(z0)))))))))))), 1'(3(3(1(0(3(2(0(2(3(1(z0))))))))))), 3'(3(1(0(3(2(0(2(3(1(z0)))))))))), 3'(1(0(3(2(0(2(3(1(z0))))))))), 1'(0(3(2(0(2(3(1(z0)))))))), 0'(3(2(0(2(3(1(z0))))))), 3'(2(0(2(3(1(z0)))))), 2'(0(2(3(1(z0))))), 0'(2(3(1(z0)))), 2'(3(1(z0))), 3'(1(z0)), 1'(z0))
   0'(c_2(c_1(c_2(c_1(c_1(c_2(c_3(c_2(c_1(c_0(c_0(c_1(c_0(c_0(c_3(c_0(c_3(z0)))))))))))))))))) -> c14(0'(3(2(0(0(1(2(1(0(2(1(1(3(1(0(0(2(3(z0)))))))))))))))))), 3'(2(0(0(1(2(1(0(2(1(1(3(1(0(0(2(3(z0))))))))))))))))), 2'(0(0(1(2(1(0(2(1(1(3(1(0(0(2(3(z0)))))))))))))))), 0'(0(1(2(1(0(2(1(1(3(1(0(0(2(3(z0))))))))))))))), 0'(1(2(1(0(2(1(1(3(1(0(0(2(3(z0)))))))))))))), 1'(2(1(0(2(1(1(3(1(0(0(2(3(z0))))))))))))), 2'(1(0(2(1(1(3(1(0(0(2(3(z0)))))))))))), 1'(0(2(1(1(3(1(0(0(2(3(z0))))))))))), 0'(2(1(1(3(1(0(0(2(3(z0)))))))))), 2'(1(1(3(1(0(0(2(3(z0))))))))), 1'(1(3(1(0(0(2(3(z0)))))))), 1'(3(1(0(0(2(3(z0))))))), 3'(1(0(0(2(3(z0)))))), 1'(0(0(2(3(z0))))), 0'(0(2(3(z0)))), 0'(2(3(z0))), 2'(3(z0)), 3'(z0))
   0'(c_0(c_0(c_2(c_3(c_0(c_0(c_0(c_0(c_0(c_0(c_1(c_1(c_0(c_3(c_0(c_0(c_0(z0)))))))))))))))))) -> c15(0'(0(3(1(0(0(0(0(2(0(0(0(3(1(0(0(0(0(z0)))))))))))))))))), 0'(3(1(0(0(0(0(2(0(0(0(3(1(0(0(0(0(z0))))))))))))))))), 3'(1(0(0(0(0(2(0(0(0(3(1(0(0(0(0(z0)))))))))))))))), 1'(0(0(0(0(2(0(0(0(3(1(0(0(0(0(z0))))))))))))))), 0'(0(0(0(2(0(0(0(3(1(0(0(0(0(z0)))))))))))))), 0'(0(0(2(0(0(0(3(1(0(0(0(0(z0))))))))))))), 0'(0(2(0(0(0(3(1(0(0(0(0(z0)))))))))))), 0'(2(0(0(0(3(1(0(0(0(0(z0))))))))))), 2'(0(0(0(3(1(0(0(0(0(z0)))))))))), 0'(0(0(3(1(0(0(0(0(z0))))))))), 0'(0(3(1(0(0(0(0(z0)))))))), 0'(3(1(0(0(0(0(z0))))))), 3'(1(0(0(0(0(z0)))))), 1'(0(0(0(0(z0))))), 0'(0(0(0(z0)))), 0'(0(0(z0))), 0'(0(z0)), 0'(z0))
   0'(c_3(c_2(c_0(c_3(c_0(c_0(c_1(c_2(c_1(c_2(c_0(c_1(c_2(c_1(c_3(c_0(c_0(z0)))))))))))))))))) -> c16(0'(2(2(0(3(3(1(0(0(3(0(2(1(1(0(1(2(0(z0)))))))))))))))))), 2'(2(0(3(3(1(0(0(3(0(2(1(1(0(1(2(0(z0))))))))))))))))), 2'(0(3(3(1(0(0(3(0(2(1(1(0(1(2(0(z0)))))))))))))))), 0'(3(3(1(0(0(3(0(2(1(1(0(1(2(0(z0))))))))))))))), 3'(3(1(0(0(3(0(2(1(1(0(1(2(0(z0)))))))))))))), 3'(1(0(0(3(0(2(1(1(0(1(2(0(z0))))))))))))), 1'(0(0(3(0(2(1(1(0(1(2(0(z0)))))))))))), 0'(0(3(0(2(1(1(0(1(2(0(z0))))))))))), 0'(3(0(2(1(1(0(1(2(0(z0)))))))))), 3'(0(2(1(1(0(1(2(0(z0))))))))), 0'(2(1(1(0(1(2(0(z0)))))))), 2'(1(1(0(1(2(0(z0))))))), 1'(1(0(1(2(0(z0)))))), 1'(0(1(2(0(z0))))), 0'(1(2(0(z0)))), 1'(2(0(z0))), 2'(0(z0)), 0'(z0))
   0'(c_2(c_0(c_2(c_1(c_1(c_2(c_1(c_2(c_0(c_0(c_3(c_2(c_2(c_3(c_0(c_0(c_3(z0)))))))))))))))))) -> c17(0'(3(2(2(0(2(2(2(2(0(3(0(1(0(1(1(0(3(z0)))))))))))))))))), 3'(2(2(0(2(2(2(2(0(3(0(1(0(1(1(0(3(z0))))))))))))))))), 2'(2(0(2(2(2(2(0(3(0(1(0(1(1(0(3(z0)))))))))))))))), 2'(0(2(2(2(2(0(3(0(1(0(1(1(0(3(z0))))))))))))))), 0'(2(2(2(2(0(3(0(1(0(1(1(0(3(z0)))))))))))))), 2'(2(2(2(0(3(0(1(0(1(1(0(3(z0))))))))))))), 2'(2(2(0(3(0(1(0(1(1(0(3(z0)))))))))))), 2'(2(0(3(0(1(0(1(1(0(3(z0))))))))))), 2'(0(3(0(1(0(1(1(0(3(z0)))))))))), 0'(3(0(1(0(1(1(0(3(z0))))))))), 3'(0(1(0(1(1(0(3(z0)))))))), 0'(1(0(1(1(0(3(z0))))))), 1'(0(1(1(0(3(z0)))))), 0'(1(1(0(3(z0))))), 1'(1(0(3(z0)))), 1'(0(3(z0))), 0'(3(z0)), 3'(z0))
   0'(c_2(c_3(c_1(c_2(c_3(c_2(c_1(c_0(c_1(c_0(c_0(c_3(c_1(c_3(c_1(c_2(c_3(z0)))))))))))))))))) -> c18(0'(2(3(3(1(2(1(1(1(0(2(3(1(0(2(0(3(3(z0)))))))))))))))))), 2'(3(3(1(2(1(1(1(0(2(3(1(0(2(0(3(3(z0))))))))))))))))), 3'(3(1(2(1(1(1(0(2(3(1(0(2(0(3(3(z0)))))))))))))))), 3'(1(2(1(1(1(0(2(3(1(0(2(0(3(3(z0))))))))))))))), 1'(2(1(1(1(0(2(3(1(0(2(0(3(3(z0)))))))))))))), 2'(1(1(1(0(2(3(1(0(2(0(3(3(z0))))))))))))), 1'(1(1(0(2(3(1(0(2(0(3(3(z0)))))))))))), 1'(1(0(2(3(1(0(2(0(3(3(z0))))))))))), 1'(0(2(3(1(0(2(0(3(3(z0)))))))))), 0'(2(3(1(0(2(0(3(3(z0))))))))), 2'(3(1(0(2(0(3(3(z0)))))))), 3'(1(0(2(0(3(3(z0))))))), 1'(0(2(0(3(3(z0)))))), 0'(2(0(3(3(z0))))), 2'(0(3(3(z0)))), 0'(3(3(z0))), 3'(3(z0)), 3'(z0))
   0'(c_2(c_0(c_1(c_3(c_0(c_0(c_1(c_3(c_0(c_2(c_0(c_1(c_3(c_1(c_1(c_3(c_1(z0)))))))))))))))))) -> c19(0'(2(0(1(3(1(1(2(1(0(0(3(3(0(0(1(3(1(z0)))))))))))))))))), 2'(0(1(3(1(1(2(1(0(0(3(3(0(0(1(3(1(z0))))))))))))))))), 0'(1(3(1(1(2(1(0(0(3(3(0(0(1(3(1(z0)))))))))))))))), 1'(3(1(1(2(1(0(0(3(3(0(0(1(3(1(z0))))))))))))))), 3'(1(1(2(1(0(0(3(3(0(0(1(3(1(z0)))))))))))))), 1'(1(2(1(0(0(3(3(0(0(1(3(1(z0))))))))))))), 1'(2(1(0(0(3(3(0(0(1(3(1(z0)))))))))))), 2'(1(0(0(3(3(0(0(1(3(1(z0))))))))))), 1'(0(0(3(3(0(0(1(3(1(z0)))))))))), 0'(0(3(3(0(0(1(3(1(z0))))))))), 0'(3(3(0(0(1(3(1(z0)))))))), 3'(3(0(0(1(3(1(z0))))))), 3'(0(0(1(3(1(z0)))))), 0'(0(1(3(1(z0))))), 0'(1(3(1(z0)))), 1'(3(1(z0))), 3'(1(z0)), 1'(z0))
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   3'(c_0(c_3(c_0(c_1(c_3(c_0(c_2(c_0(c_1(c_1(c_0(c_1(c_0(c_2(c_3(c_0(c_3(z0)))))))))))))))))) -> c88(3'(0(0(2(1(1(0(1(0(3(2(1(0(0(3(3(0(3(z0)))))))))))))))))), 0'(0(2(1(1(0(1(0(3(2(1(0(0(3(3(0(3(z0))))))))))))))))), 0'(2(1(1(0(1(0(3(2(1(0(0(3(3(0(3(z0)))))))))))))))), 2'(1(1(0(1(0(3(2(1(0(0(3(3(0(3(z0))))))))))))))), 1'(1(0(1(0(3(2(1(0(0(3(3(0(3(z0)))))))))))))), 1'(0(1(0(3(2(1(0(0(3(3(0(3(z0))))))))))))), 0'(1(0(3(2(1(0(0(3(3(0(3(z0)))))))))))), 1'(0(3(2(1(0(0(3(3(0(3(z0))))))))))), 0'(3(2(1(0(0(3(3(0(3(z0)))))))))), 3'(2(1(0(0(3(3(0(3(z0))))))))), 2'(1(0(0(3(3(0(3(z0)))))))), 1'(0(0(3(3(0(3(z0))))))), 0'(0(3(3(0(3(z0)))))), 0'(3(3(0(3(z0))))), 3'(3(0(3(z0)))), 3'(0(3(z0))), 0'(3(z0)), 3'(z0))
   3'(c_2(c_0(c_2(c_2(c_0(c_0(c_2(c_3(c_0(c_2(c_3(c_0(c_1(c_2(c_2(c_0(c_2(z0)))))))))))))))))) -> c89(2'(0(3(2(2(2(0(3(2(0(2(1(3(2(0(0(0(2(z0)))))))))))))))))), 0'(3(2(2(2(0(3(2(0(2(1(3(2(0(0(0(2(z0))))))))))))))))), 3'(2(2(2(0(3(2(0(2(1(3(2(0(0(0(2(z0)))))))))))))))), 2'(2(2(0(3(2(0(2(1(3(2(0(0(0(2(z0))))))))))))))), 2'(2(0(3(2(0(2(1(3(2(0(0(0(2(z0)))))))))))))), 2'(0(3(2(0(2(1(3(2(0(0(0(2(z0))))))))))))), 0'(3(2(0(2(1(3(2(0(0(0(2(z0)))))))))))), 3'(2(0(2(1(3(2(0(0(0(2(z0))))))))))), 2'(0(2(1(3(2(0(0(0(2(z0)))))))))), 0'(2(1(3(2(0(0(0(2(z0))))))))), 2'(1(3(2(0(0(0(2(z0)))))))), 1'(3(2(0(0(0(2(z0))))))), 3'(2(0(0(0(2(z0)))))), 2'(0(0(0(2(z0))))), 0'(0(0(2(z0)))), 0'(0(2(z0))), 0'(2(z0)), 2'(z0))
   3'(c_2(c_3(c_2(c_1(c_3(c_0(c_1(c_2(c_1(c_2(c_2(c_1(c_0(c_1(c_1(c_0(c_0(z0)))))))))))))))))) -> c90(3'(2(2(0(1(1(1(1(1(0(0(0(3(2(2(1(3(2(z0)))))))))))))))))), 2'(2(0(1(1(1(1(1(0(0(0(3(2(2(1(3(2(z0))))))))))))))))), 2'(0(1(1(1(1(1(0(0(0(3(2(2(1(3(2(z0)))))))))))))))), 0'(1(1(1(1(1(0(0(0(3(2(2(1(3(2(z0))))))))))))))), 1'(1(1(1(1(0(0(0(3(2(2(1(3(2(z0)))))))))))))), 1'(1(1(1(0(0(0(3(2(2(1(3(2(z0))))))))))))), 1'(1(1(0(0(0(3(2(2(1(3(2(z0)))))))))))), 1'(1(0(0(0(3(2(2(1(3(2(z0))))))))))), 1'(0(0(0(3(2(2(1(3(2(z0)))))))))), 0'(0(0(3(2(2(1(3(2(z0))))))))), 0'(0(3(2(2(1(3(2(z0)))))))), 0'(3(2(2(1(3(2(z0))))))), 3'(2(2(1(3(2(z0)))))), 2'(2(1(3(2(z0))))), 2'(1(3(2(z0)))), 1'(3(2(z0))), 3'(2(z0)), 2'(z0))
   3'(c_2(c_3(c_1(c_1(c_1(c_3(c_2(c_2(c_1(c_2(c_1(c_0(c_0(c_3(c_1(c_3(c_3(z0)))))))))))))))))) -> c91(3'(2(3(2(0(3(1(1(2(3(2(0(1(3(1(1(1(3(z0)))))))))))))))))), 2'(3(2(0(3(1(1(2(3(2(0(1(3(1(1(1(3(z0))))))))))))))))), 3'(2(0(3(1(1(2(3(2(0(1(3(1(1(1(3(z0)))))))))))))))), 2'(0(3(1(1(2(3(2(0(1(3(1(1(1(3(z0))))))))))))))), 0'(3(1(1(2(3(2(0(1(3(1(1(1(3(z0)))))))))))))), 3'(1(1(2(3(2(0(1(3(1(1(1(3(z0))))))))))))), 1'(1(2(3(2(0(1(3(1(1(1(3(z0)))))))))))), 1'(2(3(2(0(1(3(1(1(1(3(z0))))))))))), 2'(3(2(0(1(3(1(1(1(3(z0)))))))))), 3'(2(0(1(3(1(1(1(3(z0))))))))), 2'(0(1(3(1(1(1(3(z0)))))))), 0'(1(3(1(1(1(3(z0))))))), 1'(3(1(1(1(3(z0)))))), 3'(1(1(1(3(z0))))), 1'(1(1(3(z0)))), 1'(1(3(z0))), 1'(3(z0)), 3'(z0))
S tuples:
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   0'(c_0(c_3(c_3(c_0(c_2(c_3(c_0(c_3(c_0(c_2(c_1(c_0(c_0(c_0(c_3(c_3(c_0(z0)))))))))))))))))) -> c10(0'(0(3(1(0(3(0(0(3(3(0(3(3(0(0(2(0(2(z0)))))))))))))))))), 0'(3(1(0(3(0(0(3(3(0(3(3(0(0(2(0(2(z0))))))))))))))))), 3'(1(0(3(0(0(3(3(0(3(3(0(0(2(0(2(z0)))))))))))))))), 1'(0(3(0(0(3(3(0(3(3(0(0(2(0(2(z0))))))))))))))), 0'(3(0(0(3(3(0(3(3(0(0(2(0(2(z0)))))))))))))), 3'(0(0(3(3(0(3(3(0(0(2(0(2(z0))))))))))))), 0'(0(3(3(0(3(3(0(0(2(0(2(z0)))))))))))), 0'(3(3(0(3(3(0(0(2(0(2(z0))))))))))), 3'(3(0(3(3(0(0(2(0(2(z0)))))))))), 3'(0(3(3(0(0(2(0(2(z0))))))))), 0'(3(3(0(0(2(0(2(z0)))))))), 3'(3(0(0(2(0(2(z0))))))), 3'(0(0(2(0(2(z0)))))), 0'(0(2(0(2(z0))))), 0'(2(0(2(z0)))), 2'(0(2(z0))), 0'(2(z0)), 2'(z0))
   0'(c_0(c_1(c_1(c_2(c_1(c_3(c_1(c_3(c_1(c_1(c_1(c_2(c_2(c_1(c_0(c_2(c_2(z0)))))))))))))))))) -> c11(2'(1(1(1(1(0(3(1(1(1(2(0(3(1(0(2(2(2(z0)))))))))))))))))), 1'(1(1(1(0(3(1(1(1(2(0(3(1(0(2(2(2(z0))))))))))))))))), 1'(1(1(0(3(1(1(1(2(0(3(1(0(2(2(2(z0)))))))))))))))), 1'(1(0(3(1(1(1(2(0(3(1(0(2(2(2(z0))))))))))))))), 1'(0(3(1(1(1(2(0(3(1(0(2(2(2(z0)))))))))))))), 0'(3(1(1(1(2(0(3(1(0(2(2(2(z0))))))))))))), 3'(1(1(1(2(0(3(1(0(2(2(2(z0)))))))))))), 1'(1(1(2(0(3(1(0(2(2(2(z0))))))))))), 1'(1(2(0(3(1(0(2(2(2(z0)))))))))), 1'(2(0(3(1(0(2(2(2(z0))))))))), 2'(0(3(1(0(2(2(2(z0)))))))), 0'(3(1(0(2(2(2(z0))))))), 3'(1(0(2(2(2(z0)))))), 1'(0(2(2(2(z0))))), 0'(2(2(2(z0)))), 2'(2(2(z0))), 2'(2(z0)), 2'(z0))
   0'(c_3(c_3(c_0(c_0(c_0(c_1(c_3(c_2(c_2(c_3(c_2(c_1(c_3(c_0(c_0(c_2(c_1(z0)))))))))))))))))) -> c12(0'(2(2(0(0(3(0(2(3(1(0(3(1(0(3(2(3(1(z0)))))))))))))))))), 2'(2(0(0(3(0(2(3(1(0(3(1(0(3(2(3(1(z0))))))))))))))))), 2'(0(0(3(0(2(3(1(0(3(1(0(3(2(3(1(z0)))))))))))))))), 0'(0(3(0(2(3(1(0(3(1(0(3(2(3(1(z0))))))))))))))), 0'(3(0(2(3(1(0(3(1(0(3(2(3(1(z0)))))))))))))), 3'(0(2(3(1(0(3(1(0(3(2(3(1(z0))))))))))))), 0'(2(3(1(0(3(1(0(3(2(3(1(z0)))))))))))), 2'(3(1(0(3(1(0(3(2(3(1(z0))))))))))), 3'(1(0(3(1(0(3(2(3(1(z0)))))))))), 1'(0(3(1(0(3(2(3(1(z0))))))))), 0'(3(1(0(3(2(3(1(z0)))))))), 3'(1(0(3(2(3(1(z0))))))), 1'(0(3(2(3(1(z0)))))), 0'(3(2(3(1(z0))))), 3'(2(3(1(z0)))), 2'(3(1(z0))), 3'(1(z0)), 1'(z0))
   0'(c_0(c_0(c_0(c_1(c_1(c_3(c_2(c_3(c_3(c_0(c_1(c_1(c_2(c_0(c_1(c_3(c_1(z0)))))))))))))))))) -> c13(0'(0(0(1(1(1(0(1(3(3(1(0(3(2(0(2(3(1(z0)))))))))))))))))), 0'(0(1(1(1(0(1(3(3(1(0(3(2(0(2(3(1(z0))))))))))))))))), 0'(1(1(1(0(1(3(3(1(0(3(2(0(2(3(1(z0)))))))))))))))), 1'(1(1(0(1(3(3(1(0(3(2(0(2(3(1(z0))))))))))))))), 1'(1(0(1(3(3(1(0(3(2(0(2(3(1(z0)))))))))))))), 1'(0(1(3(3(1(0(3(2(0(2(3(1(z0))))))))))))), 0'(1(3(3(1(0(3(2(0(2(3(1(z0)))))))))))), 1'(3(3(1(0(3(2(0(2(3(1(z0))))))))))), 3'(3(1(0(3(2(0(2(3(1(z0)))))))))), 3'(1(0(3(2(0(2(3(1(z0))))))))), 1'(0(3(2(0(2(3(1(z0)))))))), 0'(3(2(0(2(3(1(z0))))))), 3'(2(0(2(3(1(z0)))))), 2'(0(2(3(1(z0))))), 0'(2(3(1(z0)))), 2'(3(1(z0))), 3'(1(z0)), 1'(z0))
   0'(c_2(c_1(c_2(c_1(c_1(c_2(c_3(c_2(c_1(c_0(c_0(c_1(c_0(c_0(c_3(c_0(c_3(z0)))))))))))))))))) -> c14(0'(3(2(0(0(1(2(1(0(2(1(1(3(1(0(0(2(3(z0)))))))))))))))))), 3'(2(0(0(1(2(1(0(2(1(1(3(1(0(0(2(3(z0))))))))))))))))), 2'(0(0(1(2(1(0(2(1(1(3(1(0(0(2(3(z0)))))))))))))))), 0'(0(1(2(1(0(2(1(1(3(1(0(0(2(3(z0))))))))))))))), 0'(1(2(1(0(2(1(1(3(1(0(0(2(3(z0)))))))))))))), 1'(2(1(0(2(1(1(3(1(0(0(2(3(z0))))))))))))), 2'(1(0(2(1(1(3(1(0(0(2(3(z0)))))))))))), 1'(0(2(1(1(3(1(0(0(2(3(z0))))))))))), 0'(2(1(1(3(1(0(0(2(3(z0)))))))))), 2'(1(1(3(1(0(0(2(3(z0))))))))), 1'(1(3(1(0(0(2(3(z0)))))))), 1'(3(1(0(0(2(3(z0))))))), 3'(1(0(0(2(3(z0)))))), 1'(0(0(2(3(z0))))), 0'(0(2(3(z0)))), 0'(2(3(z0))), 2'(3(z0)), 3'(z0))
   0'(c_0(c_0(c_2(c_3(c_0(c_0(c_0(c_0(c_0(c_0(c_1(c_1(c_0(c_3(c_0(c_0(c_0(z0)))))))))))))))))) -> c15(0'(0(3(1(0(0(0(0(2(0(0(0(3(1(0(0(0(0(z0)))))))))))))))))), 0'(3(1(0(0(0(0(2(0(0(0(3(1(0(0(0(0(z0))))))))))))))))), 3'(1(0(0(0(0(2(0(0(0(3(1(0(0(0(0(z0)))))))))))))))), 1'(0(0(0(0(2(0(0(0(3(1(0(0(0(0(z0))))))))))))))), 0'(0(0(0(2(0(0(0(3(1(0(0(0(0(z0)))))))))))))), 0'(0(0(2(0(0(0(3(1(0(0(0(0(z0))))))))))))), 0'(0(2(0(0(0(3(1(0(0(0(0(z0)))))))))))), 0'(2(0(0(0(3(1(0(0(0(0(z0))))))))))), 2'(0(0(0(3(1(0(0(0(0(z0)))))))))), 0'(0(0(3(1(0(0(0(0(z0))))))))), 0'(0(3(1(0(0(0(0(z0)))))))), 0'(3(1(0(0(0(0(z0))))))), 3'(1(0(0(0(0(z0)))))), 1'(0(0(0(0(z0))))), 0'(0(0(0(z0)))), 0'(0(0(z0))), 0'(0(z0)), 0'(z0))
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   3'(c_0(c_1(c_3(c_2(c_3(c_3(c_2(c_0(c_1(c_1(c_2(c_0(c_1(c_3(c_1(c_3(c_2(z0)))))))))))))))))) -> c84(3'(2(3(3(0(3(1(1(0(2(2(3(1(2(1(1(0(3(z0)))))))))))))))))), 2'(3(3(0(3(1(1(0(2(2(3(1(2(1(1(0(3(z0))))))))))))))))), 3'(3(0(3(1(1(0(2(2(3(1(2(1(1(0(3(z0)))))))))))))))), 3'(0(3(1(1(0(2(2(3(1(2(1(1(0(3(z0))))))))))))))), 0'(3(1(1(0(2(2(3(1(2(1(1(0(3(z0)))))))))))))), 3'(1(1(0(2(2(3(1(2(1(1(0(3(z0))))))))))))), 1'(1(0(2(2(3(1(2(1(1(0(3(z0)))))))))))), 1'(0(2(2(3(1(2(1(1(0(3(z0))))))))))), 0'(2(2(3(1(2(1(1(0(3(z0)))))))))), 2'(2(3(1(2(1(1(0(3(z0))))))))), 2'(3(1(2(1(1(0(3(z0)))))))), 3'(1(2(1(1(0(3(z0))))))), 1'(2(1(1(0(3(z0)))))), 2'(1(1(0(3(z0))))), 1'(1(0(3(z0)))), 1'(0(3(z0))), 0'(3(z0)), 3'(z0))
   3'(c_0(c_2(c_1(c_3(c_3(c_0(c_1(c_1(c_3(c_0(c_1(c_2(c_3(c_1(c_2(c_1(c_3(z0)))))))))))))))))) -> c85(0'(1(1(2(3(2(3(1(0(2(1(1(1(0(3(3(3(3(z0)))))))))))))))))), 1'(1(2(3(2(3(1(0(2(1(1(1(0(3(3(3(3(z0))))))))))))))))), 1'(2(3(2(3(1(0(2(1(1(1(0(3(3(3(3(z0)))))))))))))))), 2'(3(2(3(1(0(2(1(1(1(0(3(3(3(3(z0))))))))))))))), 3'(2(3(1(0(2(1(1(1(0(3(3(3(3(z0)))))))))))))), 2'(3(1(0(2(1(1(1(0(3(3(3(3(z0))))))))))))), 3'(1(0(2(1(1(1(0(3(3(3(3(z0)))))))))))), 1'(0(2(1(1(1(0(3(3(3(3(z0))))))))))), 0'(2(1(1(1(0(3(3(3(3(z0)))))))))), 2'(1(1(1(0(3(3(3(3(z0))))))))), 1'(1(1(0(3(3(3(3(z0)))))))), 1'(1(0(3(3(3(3(z0))))))), 1'(0(3(3(3(3(z0)))))), 0'(3(3(3(3(z0))))), 3'(3(3(3(z0)))), 3'(3(3(z0))), 3'(3(z0)), 3'(z0))
   3'(c_3(c_2(c_0(c_3(c_2(c_1(c_2(c_2(c_1(c_2(c_0(c_1(c_2(c_3(c_3(c_2(c_0(z0)))))))))))))))))) -> c86(2'(0(3(3(1(2(1(2(1(0(2(3(3(2(3(2(2(0(z0)))))))))))))))))), 0'(3(3(1(2(1(2(1(0(2(3(3(2(3(2(2(0(z0))))))))))))))))), 3'(3(1(2(1(2(1(0(2(3(3(2(3(2(2(0(z0)))))))))))))))), 3'(1(2(1(2(1(0(2(3(3(2(3(2(2(0(z0))))))))))))))), 1'(2(1(2(1(0(2(3(3(2(3(2(2(0(z0)))))))))))))), 2'(1(2(1(0(2(3(3(2(3(2(2(0(z0))))))))))))), 1'(2(1(0(2(3(3(2(3(2(2(0(z0)))))))))))), 2'(1(0(2(3(3(2(3(2(2(0(z0))))))))))), 1'(0(2(3(3(2(3(2(2(0(z0)))))))))), 0'(2(3(3(2(3(2(2(0(z0))))))))), 2'(3(3(2(3(2(2(0(z0)))))))), 3'(3(2(3(2(2(0(z0))))))), 3'(2(3(2(2(0(z0)))))), 2'(3(2(2(0(z0))))), 3'(2(2(0(z0)))), 2'(2(0(z0))), 2'(0(z0)), 0'(z0))
   3'(c_2(c_1(c_3(c_2(c_2(c_3(c_3(c_3(c_2(c_1(c_2(c_0(c_1(c_0(c_1(c_1(c_2(z0)))))))))))))))))) -> c87(2'(3(1(1(0(2(2(0(3(3(3(1(2(3(1(2(1(2(z0)))))))))))))))))), 3'(1(1(0(2(2(0(3(3(3(1(2(3(1(2(1(2(z0))))))))))))))))), 1'(1(0(2(2(0(3(3(3(1(2(3(1(2(1(2(z0)))))))))))))))), 1'(0(2(2(0(3(3(3(1(2(3(1(2(1(2(z0))))))))))))))), 0'(2(2(0(3(3(3(1(2(3(1(2(1(2(z0)))))))))))))), 2'(2(0(3(3(3(1(2(3(1(2(1(2(z0))))))))))))), 2'(0(3(3(3(1(2(3(1(2(1(2(z0)))))))))))), 0'(3(3(3(1(2(3(1(2(1(2(z0))))))))))), 3'(3(3(1(2(3(1(2(1(2(z0)))))))))), 3'(3(1(2(3(1(2(1(2(z0))))))))), 3'(1(2(3(1(2(1(2(z0)))))))), 1'(2(3(1(2(1(2(z0))))))), 2'(3(1(2(1(2(z0)))))), 3'(1(2(1(2(z0))))), 1'(2(1(2(z0)))), 2'(1(2(z0))), 1'(2(z0)), 2'(z0))
   3'(c_0(c_3(c_0(c_1(c_3(c_0(c_2(c_0(c_1(c_1(c_0(c_1(c_0(c_2(c_3(c_0(c_3(z0)))))))))))))))))) -> c88(3'(0(0(2(1(1(0(1(0(3(2(1(0(0(3(3(0(3(z0)))))))))))))))))), 0'(0(2(1(1(0(1(0(3(2(1(0(0(3(3(0(3(z0))))))))))))))))), 0'(2(1(1(0(1(0(3(2(1(0(0(3(3(0(3(z0)))))))))))))))), 2'(1(1(0(1(0(3(2(1(0(0(3(3(0(3(z0))))))))))))))), 1'(1(0(1(0(3(2(1(0(0(3(3(0(3(z0)))))))))))))), 1'(0(1(0(3(2(1(0(0(3(3(0(3(z0))))))))))))), 0'(1(0(3(2(1(0(0(3(3(0(3(z0)))))))))))), 1'(0(3(2(1(0(0(3(3(0(3(z0))))))))))), 0'(3(2(1(0(0(3(3(0(3(z0)))))))))), 3'(2(1(0(0(3(3(0(3(z0))))))))), 2'(1(0(0(3(3(0(3(z0)))))))), 1'(0(0(3(3(0(3(z0))))))), 0'(0(3(3(0(3(z0)))))), 0'(3(3(0(3(z0))))), 3'(3(0(3(z0)))), 3'(0(3(z0))), 0'(3(z0)), 3'(z0))
   3'(c_2(c_0(c_2(c_2(c_0(c_0(c_2(c_3(c_0(c_2(c_3(c_0(c_1(c_2(c_2(c_0(c_2(z0)))))))))))))))))) -> c89(2'(0(3(2(2(2(0(3(2(0(2(1(3(2(0(0(0(2(z0)))))))))))))))))), 0'(3(2(2(2(0(3(2(0(2(1(3(2(0(0(0(2(z0))))))))))))))))), 3'(2(2(2(0(3(2(0(2(1(3(2(0(0(0(2(z0)))))))))))))))), 2'(2(2(0(3(2(0(2(1(3(2(0(0(0(2(z0))))))))))))))), 2'(2(0(3(2(0(2(1(3(2(0(0(0(2(z0)))))))))))))), 2'(0(3(2(0(2(1(3(2(0(0(0(2(z0))))))))))))), 0'(3(2(0(2(1(3(2(0(0(0(2(z0)))))))))))), 3'(2(0(2(1(3(2(0(0(0(2(z0))))))))))), 2'(0(2(1(3(2(0(0(0(2(z0)))))))))), 0'(2(1(3(2(0(0(0(2(z0))))))))), 2'(1(3(2(0(0(0(2(z0)))))))), 1'(3(2(0(0(0(2(z0))))))), 3'(2(0(0(0(2(z0)))))), 2'(0(0(0(2(z0))))), 0'(0(0(2(z0)))), 0'(0(2(z0))), 0'(2(z0)), 2'(z0))
   3'(c_2(c_3(c_2(c_1(c_3(c_0(c_1(c_2(c_1(c_2(c_2(c_1(c_0(c_1(c_1(c_0(c_0(z0)))))))))))))))))) -> c90(3'(2(2(0(1(1(1(1(1(0(0(0(3(2(2(1(3(2(z0)))))))))))))))))), 2'(2(0(1(1(1(1(1(0(0(0(3(2(2(1(3(2(z0))))))))))))))))), 2'(0(1(1(1(1(1(0(0(0(3(2(2(1(3(2(z0)))))))))))))))), 0'(1(1(1(1(1(0(0(0(3(2(2(1(3(2(z0))))))))))))))), 1'(1(1(1(1(0(0(0(3(2(2(1(3(2(z0)))))))))))))), 1'(1(1(1(0(0(0(3(2(2(1(3(2(z0))))))))))))), 1'(1(1(0(0(0(3(2(2(1(3(2(z0)))))))))))), 1'(1(0(0(0(3(2(2(1(3(2(z0))))))))))), 1'(0(0(0(3(2(2(1(3(2(z0)))))))))), 0'(0(0(3(2(2(1(3(2(z0))))))))), 0'(0(3(2(2(1(3(2(z0)))))))), 0'(3(2(2(1(3(2(z0))))))), 3'(2(2(1(3(2(z0)))))), 2'(2(1(3(2(z0))))), 2'(1(3(2(z0)))), 1'(3(2(z0))), 3'(2(z0)), 2'(z0))
   3'(c_2(c_3(c_1(c_1(c_1(c_3(c_2(c_2(c_1(c_2(c_1(c_0(c_0(c_3(c_1(c_3(c_3(z0)))))))))))))))))) -> c91(3'(2(3(2(0(3(1(1(2(3(2(0(1(3(1(1(1(3(z0)))))))))))))))))), 2'(3(2(0(3(1(1(2(3(2(0(1(3(1(1(1(3(z0))))))))))))))))), 3'(2(0(3(1(1(2(3(2(0(1(3(1(1(1(3(z0)))))))))))))))), 2'(0(3(1(1(2(3(2(0(1(3(1(1(1(3(z0))))))))))))))), 0'(3(1(1(2(3(2(0(1(3(1(1(1(3(z0)))))))))))))), 3'(1(1(2(3(2(0(1(3(1(1(1(3(z0))))))))))))), 1'(1(2(3(2(0(1(3(1(1(1(3(z0)))))))))))), 1'(2(3(2(0(1(3(1(1(1(3(z0))))))))))), 2'(3(2(0(1(3(1(1(1(3(z0)))))))))), 3'(2(0(1(3(1(1(1(3(z0))))))))), 2'(0(1(3(1(1(1(3(z0)))))))), 0'(1(3(1(1(1(3(z0))))))), 1'(3(1(1(1(3(z0)))))), 3'(1(1(1(3(z0))))), 1'(1(1(3(z0)))), 1'(1(3(z0))), 1'(3(z0)), 3'(z0))
K tuples:none
Defined Rule Symbols:   0_1, 2_1, 3_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, c21_18, c22_18, c23_18, c24_18, c25_18, c26_18, c27_18, c28_18, c29_18, c30_18, c31_18, c32_18, c33_18, c34_18, 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_18, c57_18, c58_18, c60_18, c61_18, c62_18, c63_18, c64_18, c65_18, c66_18, c67_18, c68_18, c69_18, c70_18, c71_18, c72_18, c73_18, c74_18, c75_18, c76_18, c77_18, c78_18, c79_18, c80_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_3(c_0(c_0(c_2(c_1(c_0(c_0(c_2(c_1(c_2(c_2(c_3(c_2(c_0(c_0(c_2(c_0(z0)))))))))))))))))) -> 0(2(0(0(0(2(0(3(0(2(2(0(1(1(3(2(2(0(z0))))))))))))))))))
   0(c_0(c_3(c_3(c_0(c_2(c_3(c_0(c_3(c_0(c_2(c_1(c_0(c_0(c_0(c_3(c_3(c_0(z0)))))))))))))))))) -> 0(0(3(1(0(3(0(0(3(3(0(3(3(0(0(2(0(2(z0))))))))))))))))))
   0(c_0(c_1(c_1(c_2(c_1(c_3(c_1(c_3(c_1(c_1(c_1(c_2(c_2(c_1(c_0(c_2(c_2(z0)))))))))))))))))) -> 2(1(1(1(1(0(3(1(1(1(2(0(3(1(0(2(2(2(z0))))))))))))))))))
   0(c_3(c_3(c_0(c_0(c_0(c_1(c_3(c_2(c_2(c_3(c_2(c_1(c_3(c_0(c_0(c_2(c_1(z0)))))))))))))))))) -> 0(2(2(0(0(3(0(2(3(1(0(3(1(0(3(2(3(1(z0))))))))))))))))))
   0(c_0(c_0(c_0(c_1(c_1(c_3(c_2(c_3(c_3(c_0(c_1(c_1(c_2(c_0(c_1(c_3(c_1(z0)))))))))))))))))) -> 0(0(0(1(1(1(0(1(3(3(1(0(3(2(0(2(3(1(z0))))))))))))))))))
   0(c_2(c_1(c_2(c_1(c_1(c_2(c_3(c_2(c_1(c_0(c_0(c_1(c_0(c_0(c_3(c_0(c_3(z0)))))))))))))))))) -> 0(3(2(0(0(1(2(1(0(2(1(1(3(1(0(0(2(3(z0))))))))))))))))))
   0(c_0(c_0(c_2(c_3(c_0(c_0(c_0(c_0(c_0(c_0(c_1(c_1(c_0(c_3(c_0(c_0(c_0(z0)))))))))))))))))) -> 0(0(3(1(0(0(0(0(2(0(0(0(3(1(0(0(0(0(z0))))))))))))))))))
   0(c_3(c_2(c_0(c_3(c_0(c_0(c_1(c_2(c_1(c_2(c_0(c_1(c_2(c_1(c_3(c_0(c_0(z0)))))))))))))))))) -> 0(2(2(0(3(3(1(0(0(3(0(2(1(1(0(1(2(0(z0))))))))))))))))))
   0(c_2(c_0(c_2(c_1(c_1(c_2(c_1(c_2(c_0(c_0(c_3(c_2(c_2(c_3(c_0(c_0(c_3(z0)))))))))))))))))) -> 0(3(2(2(0(2(2(2(2(0(3(0(1(0(1(1(0(3(z0))))))))))))))))))
   0(c_2(c_3(c_1(c_2(c_3(c_2(c_1(c_0(c_1(c_0(c_0(c_3(c_1(c_3(c_1(c_2(c_3(z0)))))))))))))))))) -> 0(2(3(3(1(2(1(1(1(0(2(3(1(0(2(0(3(3(z0))))))))))))))))))
   0(c_2(c_0(c_1(c_3(c_0(c_0(c_1(c_3(c_0(c_2(c_0(c_1(c_3(c_1(c_1(c_3(c_1(z0)))))))))))))))))) -> 0(2(0(1(3(1(1(2(1(0(0(3(3(0(0(1(3(1(z0))))))))))))))))))
   1(z0) -> c_1(z0)
   1(c_0(c_0(c_1(c_0(c_0(c_3(c_3(c_0(c_0(c_2(c_1(c_2(c_1(c_3(c_3(c_1(c_3(z0)))))))))))))))))) -> 1(0(3(0(0(3(3(0(0(2(1(0(3(1(2(3(1(1(z0))))))))))))))))))
   1(c_3(c_3(c_0(c_3(c_2(c_1(c_1(c_1(c_0(c_1(c_3(c_2(c_3(c_1(c_1(c_2(c_1(z0)))))))))))))))))) -> 1(3(1(3(0(1(1(3(2(3(2(2(0(3(1(1(1(1(z0))))))))))))))))))
   1(c_2(c_3(c_1(c_3(c_0(c_1(c_2(c_2(c_0(c_2(c_0(c_1(c_1(c_1(c_1(c_0(c_1(z0)))))))))))))))))) -> 1(2(2(0(1(1(1(1(0(0(3(2(1(0(2(3(1(1(z0))))))))))))))))))
   1(c_0(c_3(c_1(c_2(c_0(c_3(c_3(c_2(c_1(c_2(c_0(c_0(c_1(c_0(c_2(c_1(c_3(z0)))))))))))))))))) -> 1(0(3(3(1(0(2(0(3(1(0(3(2(1(2(2(1(0(z0))))))))))))))))))
   1(c_1(c_3(c_2(c_1(c_0(c_0(c_3(c_3(c_1(c_1(c_3(c_2(c_0(c_1(c_2(c_1(c_1(z0)))))))))))))))))) -> 1(1(2(3(3(0(0(3(3(1(1(1(1(1(0(2(2(1(z0))))))))))))))))))
   1(c_1(c_2(c_0(c_3(c_0(c_2(c_1(c_3(c_3(c_0(c_3(c_3(c_3(c_3(c_3(c_1(c_2(z0)))))))))))))))))) -> 1(0(3(3(0(3(3(1(0(2(3(1(1(3(2(3(2(3(z0))))))))))))))))))
   1(c_3(c_0(c_3(c_0(c_1(c_3(c_1(c_2(c_1(c_0(c_2(c_1(c_1(c_3(c_0(c_1(c_1(z0)))))))))))))))))) -> 1(0(1(0(3(1(3(1(0(1(1(3(2(3(0(2(1(1(z0))))))))))))))))))
   1(c_3(c_3(c_3(c_1(c_2(c_0(c_1(c_2(c_0(c_0(c_2(c_1(c_3(c_3(c_3(c_0(c_2(z0)))))))))))))))))) -> 1(3(1(1(0(3(3(0(2(0(1(3(0(3(2(3(2(2(z0))))))))))))))))))
   1(c_1(c_2(c_1(c_0(c_0(c_3(c_0(c_3(c_1(c_3(c_0(c_1(c_3(c_1(c_3(c_3(c_3(z0)))))))))))))))))) -> 3(0(1(1(1(1(3(0(3(1(1(0(3(0(2(3(3(3(z0))))))))))))))))))
   1(c_3(c_0(c_1(c_3(c_1(c_2(c_1(c_2(c_1(c_2(c_2(c_2(c_1(c_3(c_0(c_1(c_3(z0)))))))))))))))))) -> 2(3(2(1(1(2(2(1(3(1(0(2(1(1(1(0(3(3(z0))))))))))))))))))
   1(c_2(c_2(c_3(c_3(c_2(c_0(c_1(c_3(c_1(c_2(c_0(c_3(c_0(c_3(c_2(c_0(c_2(z0)))))))))))))))))) -> 2(3(1(0(3(1(0(2(3(3(2(2(0(0(3(1(2(2(z0))))))))))))))))))
   1(c_3(c_2(c_1(c_0(c_1(c_2(c_1(c_3(c_1(c_1(c_3(c_3(c_3(c_0(c_2(c_1(c_3(z0)))))))))))))))))) -> 1(0(3(1(1(2(2(3(2(3(1(1(3(1(1(0(3(3(z0))))))))))))))))))
   1(c_3(c_3(c_1(c_3(c_2(c_2(c_2(c_2(c_2(c_0(c_1(c_2(c_2(c_0(c_3(c_0(c_3(z0)))))))))))))))))) -> 1(3(2(0(1(0(2(2(2(2(2(1(0(3(3(3(2(3(z0))))))))))))))))))
   1(c_1(c_2(c_0(c_3(c_0(c_1(c_3(c_0(c_2(c_3(c_3(c_3(c_2(c_2(c_3(c_0(c_3(z0)))))))))))))))))) -> 3(3(0(3(1(0(3(2(3(2(2(0(3(2(1(1(0(3(z0))))))))))))))))))
   2(z0) -> c_2(z0)
   2(c_1(c_0(c_1(c_1(c_2(c_2(c_3(c_3(c_2(c_1(c_2(c_1(c_2(c_2(c_3(c_0(c_2(z0)))))))))))))))))) -> 2(3(2(1(1(0(1(2(2(2(0(3(2(2(1(1(3(2(z0))))))))))))))))))
   2(c_0(c_3(c_2(c_0(c_3(c_1(c_0(c_0(c_0(c_1(c_3(c_0(c_0(c_3(c_0(c_2(c_2(z0)))))))))))))))))) -> 2(3(0(0(0(0(0(0(0(2(3(1(3(1(0(3(2(2(z0))))))))))))))))))
   2(c_1(c_1(c_1(c_0(c_1(c_0(c_0(c_3(c_3(c_0(c_3(c_2(c_0(c_1(c_2(c_1(c_3(z0)))))))))))))))))) -> 2(2(3(0(3(1(0(0(3(0(1(1(1(1(2(1(0(3(z0))))))))))))))))))
   2(c_2(c_1(c_3(c_0(c_1(c_3(c_0(c_1(c_2(c_0(c_2(c_2(c_1(c_3(c_2(c_2(c_2(z0)))))))))))))))))) -> 1(1(2(2(3(3(3(2(2(0(2(0(1(0(2(2(1(2(z0))))))))))))))))))
   2(c_1(c_0(c_0(c_3(c_0(c_0(c_0(c_1(c_3(c_0(c_1(c_3(c_0(c_1(c_3(c_2(c_1(z0)))))))))))))))))) -> 3(0(0(0(1(1(2(3(3(0(0(3(0(1(0(2(1(1(z0))))))))))))))))))
   2(c_2(c_1(c_2(c_3(c_2(c_1(c_1(c_1(c_0(c_0(c_3(c_3(c_1(c_2(c_2(c_1(c_3(z0)))))))))))))))))) -> 2(2(1(1(1(2(1(2(3(2(3(1(3(1(0(2(0(3(z0))))))))))))))))))
   2(c_1(c_1(c_3(c_0(c_2(c_1(c_3(c_2(c_2(c_3(c_3(c_3(c_1(c_3(c_2(c_3(c_3(z0)))))))))))))))))) -> 2(2(3(3(1(2(1(0(1(1(3(3(2(3(3(2(3(3(z0))))))))))))))))))
   2(c_1(c_3(c_0(c_3(c_0(c_1(c_0(c_1(c_3(c_3(c_0(c_1(c_3(c_3(c_0(c_2(c_3(z0)))))))))))))))))) -> 2(3(3(0(3(3(0(0(3(2(3(1(1(1(0(3(1(0(z0))))))))))))))))))
   2(c_2(c_1(c_2(c_2(c_2(c_2(c_2(c_1(c_3(c_2(c_1(c_3(c_0(c_3(c_3(c_1(c_2(z0)))))))))))))))))) -> 2(2(0(2(2(2(3(1(2(1(3(2(3(1(1(2(3(2(z0))))))))))))))))))
   2(c_2(c_1(c_0(c_1(c_3(c_2(c_2(c_0(c_2(c_2(c_2(c_2(c_0(c_2(c_2(c_1(c_2(z0)))))))))))))))))) -> 2(3(2(2(2(1(2(2(2(0(1(0(2(2(0(2(1(2(z0))))))))))))))))))
   2(c_2(c_3(c_0(c_2(c_3(c_1(c_2(c_0(c_2(c_2(c_1(c_3(c_0(c_0(c_1(c_3(c_2(z0)))))))))))))))))) -> 3(0(2(1(3(2(2(1(1(2(0(3(0(0(2(2(3(2(z0))))))))))))))))))
   2(c_2(c_3(c_1(c_1(c_2(c_0(c_2(c_0(c_3(c_0(c_0(c_2(c_1(c_0(c_1(c_3(c_2(z0)))))))))))))))))) -> 2(2(3(2(2(0(3(0(3(1(0(1(1(1(2(2(0(0(z0))))))))))))))))))
   2(c_2(c_3(c_1(c_3(c_1(c_3(c_0(c_2(c_1(c_3(c_1(c_2(c_3(c_1(c_3(c_3(c_1(z0)))))))))))))))))) -> 2(3(3(1(3(1(3(3(2(3(1(1(2(3(2(1(0(1(z0))))))))))))))))))
   2(c_1(c_0(c_2(c_0(c_1(c_0(c_3(c_2(c_1(c_3(c_1(c_1(c_3(c_2(c_2(c_1(c_0(z0)))))))))))))))))) -> 2(3(1(2(3(2(2(1(2(0(0(1(0(3(1(1(1(0(z0))))))))))))))))))
   2(c_1(c_2(c_2(c_1(c_0(c_1(c_3(c_0(c_1(c_1(c_0(c_0(c_3(c_3(c_2(c_2(c_3(z0)))))))))))))))))) -> 2(0(3(1(0(1(3(1(3(2(2(2(2(0(1(1(0(3(z0))))))))))))))))))
   2(c_2(c_1(c_2(c_0(c_1(c_3(c_0(c_1(c_1(c_1(c_1(c_2(c_2(c_0(c_0(c_2(c_2(z0)))))))))))))))))) -> 2(0(0(1(1(0(2(2(3(1(2(2(1(2(1(1(0(2(z0))))))))))))))))))
   2(c_2(c_1(c_2(c_2(c_2(c_3(c_2(c_0(c_3(c_3(c_0(c_1(c_2(c_0(c_2(c_3(c_3(z0)))))))))))))))))) -> 2(3(1(3(1(0(2(2(3(0(2(2(2(3(2(2(0(3(z0))))))))))))))))))
   2(c_2(c_3(c_1(c_0(c_3(c_0(c_2(c_1(c_3(c_2(c_2(c_2(c_3(c_3(c_3(c_1(c_2(z0)))))))))))))))))) -> 1(1(0(3(2(2(3(2(2(1(0(2(3(3(2(3(3(2(z0))))))))))))))))))
   2(c_3(c_3(c_1(c_3(c_1(c_0(c_0(c_1(c_1(c_3(c_3(c_3(c_1(c_2(c_2(c_1(c_3(z0)))))))))))))))))) -> 2(2(1(3(3(1(1(0(3(1(1(1(3(3(2(3(0(3(z0))))))))))))))))))
   2(c_0(c_1(c_2(c_0(c_0(c_0(c_2(c_2(c_1(c_3(c_2(c_1(c_0(c_1(c_0(c_2(c_0(z0)))))))))))))))))) -> 2(0(2(0(1(0(1(1(0(1(0(3(2(0(2(2(2(0(z0))))))))))))))))))
   2(c_1(c_3(c_1(c_1(c_2(c_1(c_2(c_3(c_0(c_3(c_2(c_0(c_1(c_0(c_1(c_2(c_1(z0)))))))))))))))))) -> 3(0(0(3(1(1(1(1(1(2(3(2(0(2(2(1(2(1(z0))))))))))))))))))
   2(c_3(c_2(c_1(c_3(c_1(c_2(c_0(c_0(c_1(c_3(c_0(c_1(c_2(c_0(c_3(c_1(c_1(z0)))))))))))))))))) -> 1(2(3(1(1(0(1(3(0(0(0(3(2(3(2(2(1(1(z0))))))))))))))))))
   2(c_3(c_2(c_1(c_2(c_0(c_3(c_0(c_1(c_3(c_3(c_3(c_0(c_2(c_3(c_0(c_0(c_0(z0)))))))))))))))))) -> 3(0(0(3(0(2(3(1(1(3(3(2(2(0(3(0(2(0(z0))))))))))))))))))
   3(z0) -> c_3(z0)
   3(c_0(c_0(c_3(c_1(c_3(c_3(c_2(c_2(c_1(c_1(c_0(c_2(c_1(c_2(c_0(c_2(c_0(z0)))))))))))))))))) -> 3(3(1(0(2(0(2(0(2(0(2(3(1(1(3(1(0(2(z0))))))))))))))))))
   3(c_2(c_0(c_1(c_0(c_0(c_0(c_3(c_1(c_3(c_1(c_3(c_3(c_2(c_0(c_1(c_1(c_1(z0)))))))))))))))))) -> 3(2(0(3(0(1(1(1(0(1(1(0(3(0(3(2(3(1(z0))))))))))))))))))
   3(c_2(c_2(c_3(c_1(c_2(c_2(c_2(c_1(c_3(c_3(c_3(c_0(c_2(c_1(c_3(c_2(c_1(z0)))))))))))))))))) -> 3(2(2(1(2(2(2(3(2(3(3(1(1(3(3(0(2(1(z0))))))))))))))))))
   3(c_0(c_1(c_0(c_2(c_0(c_3(c_1(c_3(c_3(c_1(c_3(c_3(c_0(c_2(c_2(c_3(c_0(z0)))))))))))))))))) -> 3(0(2(1(0(3(0(3(3(0(2(3(3(1(1(2(3(0(z0))))))))))))))))))
   3(c_3(c_2(c_0(c_3(c_1(c_2(c_2(c_3(c_1(c_3(c_2(c_3(c_2(c_2(c_1(c_2(c_0(z0)))))))))))))))))) -> 3(2(1(3(2(3(2(0(3(2(2(3(2(3(1(1(2(0(z0))))))))))))))))))
   3(c_1(c_2(c_3(c_0(c_2(c_2(c_1(c_1(c_3(c_1(c_0(c_0(c_1(c_0(c_2(c_3(c_0(z0)))))))))))))))))) -> 3(1(0(0(0(3(1(1(0(3(1(2(1(2(2(3(2(0(z0))))))))))))))))))
   3(c_0(c_3(c_2(c_0(c_3(c_1(c_1(c_2(c_1(c_3(c_3(c_2(c_1(c_0(c_3(c_2(c_1(z0)))))))))))))))))) -> 2(3(3(0(1(1(1(0(2(1(2(3(3(0(3(3(2(1(z0))))))))))))))))))
   3(c_3(c_0(c_3(c_1(c_3(c_3(c_1(c_2(c_0(c_3(c_2(c_2(c_2(c_3(c_2(c_3(c_0(z0)))))))))))))))))) -> 3(2(3(1(0(3(2(1(2(3(3(3(0(0(3(3(2(2(z0))))))))))))))))))
   3(c_1(c_1(c_3(c_1(c_3(c_3(c_0(c_3(c_1(c_3(c_0(c_2(c_1(c_2(c_2(c_1(c_3(z0)))))))))))))))))) -> 3(3(3(2(0(2(1(1(2(3(1(1(3(0(3(1(1(3(z0))))))))))))))))))
   3(c_3(c_0(c_2(c_3(c_3(c_0(c_0(c_2(c_1(c_0(c_3(c_0(c_1(c_0(c_1(c_0(c_2(z0)))))))))))))))))) -> 2(0(3(3(3(0(2(0(3(1(1(1(0(0(0(0(3(2(z0))))))))))))))))))
   3(c_2(c_0(c_1(c_2(c_1(c_2(c_3(c_2(c_3(c_2(c_0(c_2(c_1(c_2(c_1(c_2(c_0(z0)))))))))))))))))) -> 2(1(1(3(2(0(2(3(1(1(2(2(0(2(3(2(2(0(z0))))))))))))))))))
   3(c_0(c_1(c_3(c_2(c_2(c_3(c_2(c_0(c_1(c_0(c_0(c_3(c_0(c_1(c_0(c_2(c_0(z0)))))))))))))))))) -> 2(3(1(2(0(2(0(3(1(0(0(0(3(2(3(1(0(0(z0))))))))))))))))))
   3(c_0(c_1(c_0(c_0(c_1(c_3(c_0(c_0(c_1(c_3(c_0(c_1(c_2(c_0(c_3(c_3(c_3(z0)))))))))))))))))) -> 1(1(3(0(0(3(1(0(1(0(2(3(0(3(3(0(0(3(z0))))))))))))))))))
   3(c_3(c_1(c_1(c_3(c_0(c_2(c_1(c_3(c_2(c_0(c_1(c_2(c_3(c_3(c_3(c_2(c_3(z0)))))))))))))))))) -> 3(1(0(3(1(1(0(3(3(2(2(2(2(3(1(3(3(3(z0))))))))))))))))))
   3(c_2(c_3(c_3(c_0(c_2(c_3(c_2(c_0(c_2(c_3(c_2(c_2(c_1(c_3(c_3(c_0(c_3(z0)))))))))))))))))) -> 3(3(2(2(3(3(2(3(0(0(3(2(2(1(0(3(2(3(z0))))))))))))))))))
   3(c_2(c_0(c_2(c_2(c_3(c_0(c_0(c_1(c_3(c_0(c_2(c_0(c_0(c_2(c_1(c_3(c_0(z0)))))))))))))))))) -> 2(1(0(0(0(0(3(2(3(0(3(1(3(0(0(2(2(2(z0))))))))))))))))))
   3(c_1(c_3(c_3(c_0(c_2(c_2(c_2(c_0(c_1(c_2(c_0(c_1(c_0(c_1(c_2(c_2(c_0(z0)))))))))))))))))) -> 3(2(3(2(0(3(1(2(1(1(1(2(0(0(0(2(2(0(z0))))))))))))))))))
   3(c_2(c_1(c_2(c_3(c_3(c_1(c_2(c_1(c_1(c_2(c_3(c_0(c_2(c_3(c_1(c_2(c_3(z0)))))))))))))))))) -> 2(0(2(3(1(1(3(3(1(2(2(2(3(3(1(1(2(3(z0))))))))))))))))))
   3(c_3(c_3(c_1(c_3(c_0(c_3(c_3(c_1(c_3(c_0(c_1(c_0(c_0(c_2(c_1(c_2(c_0(z0)))))))))))))))))) -> 3(3(1(1(0(1(3(3(0(3(3(0(2(2(3(1(0(0(z0))))))))))))))))))
   3(c_0(c_3(c_2(c_2(c_3(c_2(c_0(c_3(c_0(c_2(c_2(c_1(c_2(c_0(c_2(c_2(c_0(z0)))))))))))))))))) -> 3(2(1(0(0(3(0(2(3(2(2(0(2(2(3(2(2(0(z0))))))))))))))))))
   3(c_3(c_0(c_1(c_0(c_1(c_3(c_3(c_3(c_2(c_2(c_3(c_3(c_0(c_3(c_3(c_0(c_3(z0)))))))))))))))))) -> 3(3(3(0(2(3(1(0(1(3(2(3(3(3(3(0(0(3(z0))))))))))))))))))
   3(c_3(c_3(c_0(c_1(c_3(c_3(c_1(c_2(c_3(c_0(c_2(c_1(c_3(c_2(c_1(c_0(c_0(z0)))))))))))))))))) -> 3(1(1(1(3(0(1(3(0(2(3(2(3(0(3(2(3(0(z0))))))))))))))))))
   3(c_1(c_2(c_0(c_3(c_0(c_1(c_2(c_0(c_3(c_3(c_2(c_3(c_2(c_2(c_1(c_2(c_3(z0)))))))))))))))))) -> 3(1(3(2(1(1(3(2(0(0(0(3(2(2(2(3(2(3(z0))))))))))))))))))
   3(c_3(c_2(c_1(c_1(c_1(c_1(c_3(c_0(c_0(c_3(c_1(c_2(c_0(c_2(c_2(c_3(c_0(z0)))))))))))))))))) -> 3(3(1(1(0(1(0(2(0(1(1(2(3(3(2(2(3(0(z0))))))))))))))))))
   3(c_0(c_1(c_3(c_2(c_3(c_3(c_2(c_0(c_1(c_1(c_2(c_0(c_1(c_3(c_1(c_3(c_2(z0)))))))))))))))))) -> 3(2(3(3(0(3(1(1(0(2(2(3(1(2(1(1(0(3(z0))))))))))))))))))
   3(c_0(c_2(c_1(c_3(c_3(c_0(c_1(c_1(c_3(c_0(c_1(c_2(c_3(c_1(c_2(c_1(c_3(z0)))))))))))))))))) -> 0(1(1(2(3(2(3(1(0(2(1(1(1(0(3(3(3(3(z0))))))))))))))))))
   3(c_3(c_2(c_0(c_3(c_2(c_1(c_2(c_2(c_1(c_2(c_0(c_1(c_2(c_3(c_3(c_2(c_0(z0)))))))))))))))))) -> 2(0(3(3(1(2(1(2(1(0(2(3(3(2(3(2(2(0(z0))))))))))))))))))
   3(c_2(c_1(c_3(c_2(c_2(c_3(c_3(c_3(c_2(c_1(c_2(c_0(c_1(c_0(c_1(c_1(c_2(z0)))))))))))))))))) -> 2(3(1(1(0(2(2(0(3(3(3(1(2(3(1(2(1(2(z0))))))))))))))))))
   3(c_0(c_3(c_0(c_1(c_3(c_0(c_2(c_0(c_1(c_1(c_0(c_1(c_0(c_2(c_3(c_0(c_3(z0)))))))))))))))))) -> 3(0(0(2(1(1(0(1(0(3(2(1(0(0(3(3(0(3(z0))))))))))))))))))
   3(c_2(c_0(c_2(c_2(c_0(c_0(c_2(c_3(c_0(c_2(c_3(c_0(c_1(c_2(c_2(c_0(c_2(z0)))))))))))))))))) -> 2(0(3(2(2(2(0(3(2(0(2(1(3(2(0(0(0(2(z0))))))))))))))))))
   3(c_2(c_3(c_2(c_1(c_3(c_0(c_1(c_2(c_1(c_2(c_2(c_1(c_0(c_1(c_1(c_0(c_0(z0)))))))))))))))))) -> 3(2(2(0(1(1(1(1(1(0(0(0(3(2(2(1(3(2(z0))))))))))))))))))
   3(c_2(c_3(c_1(c_1(c_1(c_3(c_2(c_2(c_1(c_2(c_1(c_0(c_0(c_3(c_1(c_3(c_3(z0)))))))))))))))))) -> 3(2(3(2(0(3(1(1(2(3(2(0(1(3(1(1(1(3(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_3(c_0(c_0(c_2(c_1(c_0(c_0(c_2(c_1(c_2(c_2(c_3(c_2(c_0(c_0(c_2(c_0(z0)))))))))))))))))) -> c9(0'(2(0(0(0(2(0(3(0(2(2(0(1(1(3(2(2(0(z0)))))))))))))))))), 2'(0(0(0(2(0(3(0(2(2(0(1(1(3(2(2(0(z0))))))))))))))))), 0'(0(0(2(0(3(0(2(2(0(1(1(3(2(2(0(z0)))))))))))))))), 0'(0(2(0(3(0(2(2(0(1(1(3(2(2(0(z0))))))))))))))), 0'(2(0(3(0(2(2(0(1(1(3(2(2(0(z0)))))))))))))), 2'(0(3(0(2(2(0(1(1(3(2(2(0(z0))))))))))))), 0'(3(0(2(2(0(1(1(3(2(2(0(z0)))))))))))), 3'(0(2(2(0(1(1(3(2(2(0(z0))))))))))), 0'(2(2(0(1(1(3(2(2(0(z0)))))))))), 2'(2(0(1(1(3(2(2(0(z0))))))))), 2'(0(1(1(3(2(2(0(z0)))))))), 0'(1(1(3(2(2(0(z0))))))), 1'(1(3(2(2(0(z0)))))), 1'(3(2(2(0(z0))))), 3'(2(2(0(z0)))), 2'(2(0(z0))), 2'(0(z0)), 0'(z0))
   0'(c_0(c_3(c_3(c_0(c_2(c_3(c_0(c_3(c_0(c_2(c_1(c_0(c_0(c_0(c_3(c_3(c_0(z0)))))))))))))))))) -> c10(0'(0(3(1(0(3(0(0(3(3(0(3(3(0(0(2(0(2(z0)))))))))))))))))), 0'(3(1(0(3(0(0(3(3(0(3(3(0(0(2(0(2(z0))))))))))))))))), 3'(1(0(3(0(0(3(3(0(3(3(0(0(2(0(2(z0)))))))))))))))), 1'(0(3(0(0(3(3(0(3(3(0(0(2(0(2(z0))))))))))))))), 0'(3(0(0(3(3(0(3(3(0(0(2(0(2(z0)))))))))))))), 3'(0(0(3(3(0(3(3(0(0(2(0(2(z0))))))))))))), 0'(0(3(3(0(3(3(0(0(2(0(2(z0)))))))))))), 0'(3(3(0(3(3(0(0(2(0(2(z0))))))))))), 3'(3(0(3(3(0(0(2(0(2(z0)))))))))), 3'(0(3(3(0(0(2(0(2(z0))))))))), 0'(3(3(0(0(2(0(2(z0)))))))), 3'(3(0(0(2(0(2(z0))))))), 3'(0(0(2(0(2(z0)))))), 0'(0(2(0(2(z0))))), 0'(2(0(2(z0)))), 2'(0(2(z0))), 0'(2(z0)), 2'(z0))
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   1'(c_2(c_2(c_3(c_3(c_2(c_0(c_1(c_3(c_1(c_2(c_0(c_3(c_0(c_3(c_2(c_0(c_2(z0)))))))))))))))))) -> c31(2'(3(1(0(3(1(0(2(3(3(2(2(0(0(3(1(2(2(z0)))))))))))))))))), 3'(1(0(3(1(0(2(3(3(2(2(0(0(3(1(2(2(z0))))))))))))))))), 1'(0(3(1(0(2(3(3(2(2(0(0(3(1(2(2(z0)))))))))))))))), 0'(3(1(0(2(3(3(2(2(0(0(3(1(2(2(z0))))))))))))))), 3'(1(0(2(3(3(2(2(0(0(3(1(2(2(z0)))))))))))))), 1'(0(2(3(3(2(2(0(0(3(1(2(2(z0))))))))))))), 0'(2(3(3(2(2(0(0(3(1(2(2(z0)))))))))))), 2'(3(3(2(2(0(0(3(1(2(2(z0))))))))))), 3'(3(2(2(0(0(3(1(2(2(z0)))))))))), 3'(2(2(0(0(3(1(2(2(z0))))))))), 2'(2(0(0(3(1(2(2(z0)))))))), 2'(0(0(3(1(2(2(z0))))))), 0'(0(3(1(2(2(z0)))))), 0'(3(1(2(2(z0))))), 3'(1(2(2(z0)))), 1'(2(2(z0))), 2'(2(z0)), 2'(z0))
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   1'(c_3(c_3(c_1(c_3(c_2(c_2(c_2(c_2(c_2(c_0(c_1(c_2(c_2(c_0(c_3(c_0(c_3(z0)))))))))))))))))) -> c33(1'(3(2(0(1(0(2(2(2(2(2(1(0(3(3(3(2(3(z0)))))))))))))))))), 3'(2(0(1(0(2(2(2(2(2(1(0(3(3(3(2(3(z0))))))))))))))))), 2'(0(1(0(2(2(2(2(2(1(0(3(3(3(2(3(z0)))))))))))))))), 0'(1(0(2(2(2(2(2(1(0(3(3(3(2(3(z0))))))))))))))), 1'(0(2(2(2(2(2(1(0(3(3(3(2(3(z0)))))))))))))), 0'(2(2(2(2(2(1(0(3(3(3(2(3(z0))))))))))))), 2'(2(2(2(2(1(0(3(3(3(2(3(z0)))))))))))), 2'(2(2(2(1(0(3(3(3(2(3(z0))))))))))), 2'(2(2(1(0(3(3(3(2(3(z0)))))))))), 2'(2(1(0(3(3(3(2(3(z0))))))))), 2'(1(0(3(3(3(2(3(z0)))))))), 1'(0(3(3(3(2(3(z0))))))), 0'(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))
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   3'(c_0(c_3(c_2(c_2(c_3(c_2(c_0(c_3(c_0(c_2(c_2(c_1(c_2(c_0(c_2(c_2(c_0(z0)))))))))))))))))) -> c79(3'(2(1(0(0(3(0(2(3(2(2(0(2(2(3(2(2(0(z0)))))))))))))))))), 2'(1(0(0(3(0(2(3(2(2(0(2(2(3(2(2(0(z0))))))))))))))))), 1'(0(0(3(0(2(3(2(2(0(2(2(3(2(2(0(z0)))))))))))))))), 0'(0(3(0(2(3(2(2(0(2(2(3(2(2(0(z0))))))))))))))), 0'(3(0(2(3(2(2(0(2(2(3(2(2(0(z0)))))))))))))), 3'(0(2(3(2(2(0(2(2(3(2(2(0(z0))))))))))))), 0'(2(3(2(2(0(2(2(3(2(2(0(z0)))))))))))), 2'(3(2(2(0(2(2(3(2(2(0(z0))))))))))), 3'(2(2(0(2(2(3(2(2(0(z0)))))))))), 2'(2(0(2(2(3(2(2(0(z0))))))))), 2'(0(2(2(3(2(2(0(z0)))))))), 0'(2(2(3(2(2(0(z0))))))), 2'(2(3(2(2(0(z0)))))), 2'(3(2(2(0(z0))))), 3'(2(2(0(z0)))), 2'(2(0(z0))), 2'(0(z0)), 0'(z0))
   3'(c_3(c_0(c_1(c_0(c_1(c_3(c_3(c_3(c_2(c_2(c_3(c_3(c_0(c_3(c_3(c_0(c_3(z0)))))))))))))))))) -> c80(3'(3(3(0(2(3(1(0(1(3(2(3(3(3(3(0(0(3(z0)))))))))))))))))), 3'(3(0(2(3(1(0(1(3(2(3(3(3(3(0(0(3(z0))))))))))))))))), 3'(0(2(3(1(0(1(3(2(3(3(3(3(0(0(3(z0)))))))))))))))), 0'(2(3(1(0(1(3(2(3(3(3(3(0(0(3(z0))))))))))))))), 2'(3(1(0(1(3(2(3(3(3(3(0(0(3(z0)))))))))))))), 3'(1(0(1(3(2(3(3(3(3(0(0(3(z0))))))))))))), 1'(0(1(3(2(3(3(3(3(0(0(3(z0)))))))))))), 0'(1(3(2(3(3(3(3(0(0(3(z0))))))))))), 1'(3(2(3(3(3(3(0(0(3(z0)))))))))), 3'(2(3(3(3(3(0(0(3(z0))))))))), 2'(3(3(3(3(0(0(3(z0)))))))), 3'(3(3(3(0(0(3(z0))))))), 3'(3(3(0(0(3(z0)))))), 3'(3(0(0(3(z0))))), 3'(0(0(3(z0)))), 0'(0(3(z0))), 0'(3(z0)), 3'(z0))
   3'(c_3(c_3(c_0(c_1(c_3(c_3(c_1(c_2(c_3(c_0(c_2(c_1(c_3(c_2(c_1(c_0(c_0(z0)))))))))))))))))) -> c81(3'(1(1(1(3(0(1(3(0(2(3(2(3(0(3(2(3(0(z0)))))))))))))))))), 1'(1(1(3(0(1(3(0(2(3(2(3(0(3(2(3(0(z0))))))))))))))))), 1'(1(3(0(1(3(0(2(3(2(3(0(3(2(3(0(z0)))))))))))))))), 1'(3(0(1(3(0(2(3(2(3(0(3(2(3(0(z0))))))))))))))), 3'(0(1(3(0(2(3(2(3(0(3(2(3(0(z0)))))))))))))), 0'(1(3(0(2(3(2(3(0(3(2(3(0(z0))))))))))))), 1'(3(0(2(3(2(3(0(3(2(3(0(z0)))))))))))), 3'(0(2(3(2(3(0(3(2(3(0(z0))))))))))), 0'(2(3(2(3(0(3(2(3(0(z0)))))))))), 2'(3(2(3(0(3(2(3(0(z0))))))))), 3'(2(3(0(3(2(3(0(z0)))))))), 2'(3(0(3(2(3(0(z0))))))), 3'(0(3(2(3(0(z0)))))), 0'(3(2(3(0(z0))))), 3'(2(3(0(z0)))), 2'(3(0(z0))), 3'(0(z0)), 0'(z0))
   3'(c_1(c_2(c_0(c_3(c_0(c_1(c_2(c_0(c_3(c_3(c_2(c_3(c_2(c_2(c_1(c_2(c_3(z0)))))))))))))))))) -> c82(3'(1(3(2(1(1(3(2(0(0(0(3(2(2(2(3(2(3(z0)))))))))))))))))), 1'(3(2(1(1(3(2(0(0(0(3(2(2(2(3(2(3(z0))))))))))))))))), 3'(2(1(1(3(2(0(0(0(3(2(2(2(3(2(3(z0)))))))))))))))), 2'(1(1(3(2(0(0(0(3(2(2(2(3(2(3(z0))))))))))))))), 1'(1(3(2(0(0(0(3(2(2(2(3(2(3(z0)))))))))))))), 1'(3(2(0(0(0(3(2(2(2(3(2(3(z0))))))))))))), 3'(2(0(0(0(3(2(2(2(3(2(3(z0)))))))))))), 2'(0(0(0(3(2(2(2(3(2(3(z0))))))))))), 0'(0(0(3(2(2(2(3(2(3(z0)))))))))), 0'(0(3(2(2(2(3(2(3(z0))))))))), 0'(3(2(2(2(3(2(3(z0)))))))), 3'(2(2(2(3(2(3(z0))))))), 2'(2(2(3(2(3(z0)))))), 2'(2(3(2(3(z0))))), 2'(3(2(3(z0)))), 3'(2(3(z0))), 2'(3(z0)), 3'(z0))
   3'(c_3(c_2(c_1(c_1(c_1(c_1(c_3(c_0(c_0(c_3(c_1(c_2(c_0(c_2(c_2(c_3(c_0(z0)))))))))))))))))) -> c83(3'(3(1(1(0(1(0(2(0(1(1(2(3(3(2(2(3(0(z0)))))))))))))))))), 3'(1(1(0(1(0(2(0(1(1(2(3(3(2(2(3(0(z0))))))))))))))))), 1'(1(0(1(0(2(0(1(1(2(3(3(2(2(3(0(z0)))))))))))))))), 1'(0(1(0(2(0(1(1(2(3(3(2(2(3(0(z0))))))))))))))), 0'(1(0(2(0(1(1(2(3(3(2(2(3(0(z0)))))))))))))), 1'(0(2(0(1(1(2(3(3(2(2(3(0(z0))))))))))))), 0'(2(0(1(1(2(3(3(2(2(3(0(z0)))))))))))), 2'(0(1(1(2(3(3(2(2(3(0(z0))))))))))), 0'(1(1(2(3(3(2(2(3(0(z0)))))))))), 1'(1(2(3(3(2(2(3(0(z0))))))))), 1'(2(3(3(2(2(3(0(z0)))))))), 2'(3(3(2(2(3(0(z0))))))), 3'(3(2(2(3(0(z0)))))), 3'(2(2(3(0(z0))))), 2'(2(3(0(z0)))), 2'(3(0(z0))), 3'(0(z0)), 0'(z0))
   3'(c_0(c_1(c_3(c_2(c_3(c_3(c_2(c_0(c_1(c_1(c_2(c_0(c_1(c_3(c_1(c_3(c_2(z0)))))))))))))))))) -> c84(3'(2(3(3(0(3(1(1(0(2(2(3(1(2(1(1(0(3(z0)))))))))))))))))), 2'(3(3(0(3(1(1(0(2(2(3(1(2(1(1(0(3(z0))))))))))))))))), 3'(3(0(3(1(1(0(2(2(3(1(2(1(1(0(3(z0)))))))))))))))), 3'(0(3(1(1(0(2(2(3(1(2(1(1(0(3(z0))))))))))))))), 0'(3(1(1(0(2(2(3(1(2(1(1(0(3(z0)))))))))))))), 3'(1(1(0(2(2(3(1(2(1(1(0(3(z0))))))))))))), 1'(1(0(2(2(3(1(2(1(1(0(3(z0)))))))))))), 1'(0(2(2(3(1(2(1(1(0(3(z0))))))))))), 0'(2(2(3(1(2(1(1(0(3(z0)))))))))), 2'(2(3(1(2(1(1(0(3(z0))))))))), 2'(3(1(2(1(1(0(3(z0)))))))), 3'(1(2(1(1(0(3(z0))))))), 1'(2(1(1(0(3(z0)))))), 2'(1(1(0(3(z0))))), 1'(1(0(3(z0)))), 1'(0(3(z0))), 0'(3(z0)), 3'(z0))
   3'(c_0(c_2(c_1(c_3(c_3(c_0(c_1(c_1(c_3(c_0(c_1(c_2(c_3(c_1(c_2(c_1(c_3(z0)))))))))))))))))) -> c85(0'(1(1(2(3(2(3(1(0(2(1(1(1(0(3(3(3(3(z0)))))))))))))))))), 1'(1(2(3(2(3(1(0(2(1(1(1(0(3(3(3(3(z0))))))))))))))))), 1'(2(3(2(3(1(0(2(1(1(1(0(3(3(3(3(z0)))))))))))))))), 2'(3(2(3(1(0(2(1(1(1(0(3(3(3(3(z0))))))))))))))), 3'(2(3(1(0(2(1(1(1(0(3(3(3(3(z0)))))))))))))), 2'(3(1(0(2(1(1(1(0(3(3(3(3(z0))))))))))))), 3'(1(0(2(1(1(1(0(3(3(3(3(z0)))))))))))), 1'(0(2(1(1(1(0(3(3(3(3(z0))))))))))), 0'(2(1(1(1(0(3(3(3(3(z0)))))))))), 2'(1(1(1(0(3(3(3(3(z0))))))))), 1'(1(1(0(3(3(3(3(z0)))))))), 1'(1(0(3(3(3(3(z0))))))), 1'(0(3(3(3(3(z0)))))), 0'(3(3(3(3(z0))))), 3'(3(3(3(z0)))), 3'(3(3(z0))), 3'(3(z0)), 3'(z0))
   3'(c_3(c_2(c_0(c_3(c_2(c_1(c_2(c_2(c_1(c_2(c_0(c_1(c_2(c_3(c_3(c_2(c_0(z0)))))))))))))))))) -> c86(2'(0(3(3(1(2(1(2(1(0(2(3(3(2(3(2(2(0(z0)))))))))))))))))), 0'(3(3(1(2(1(2(1(0(2(3(3(2(3(2(2(0(z0))))))))))))))))), 3'(3(1(2(1(2(1(0(2(3(3(2(3(2(2(0(z0)))))))))))))))), 3'(1(2(1(2(1(0(2(3(3(2(3(2(2(0(z0))))))))))))))), 1'(2(1(2(1(0(2(3(3(2(3(2(2(0(z0)))))))))))))), 2'(1(2(1(0(2(3(3(2(3(2(2(0(z0))))))))))))), 1'(2(1(0(2(3(3(2(3(2(2(0(z0)))))))))))), 2'(1(0(2(3(3(2(3(2(2(0(z0))))))))))), 1'(0(2(3(3(2(3(2(2(0(z0)))))))))), 0'(2(3(3(2(3(2(2(0(z0))))))))), 2'(3(3(2(3(2(2(0(z0)))))))), 3'(3(2(3(2(2(0(z0))))))), 3'(2(3(2(2(0(z0)))))), 2'(3(2(2(0(z0))))), 3'(2(2(0(z0)))), 2'(2(0(z0))), 2'(0(z0)), 0'(z0))
   3'(c_2(c_1(c_3(c_2(c_2(c_3(c_3(c_3(c_2(c_1(c_2(c_0(c_1(c_0(c_1(c_1(c_2(z0)))))))))))))))))) -> c87(2'(3(1(1(0(2(2(0(3(3(3(1(2(3(1(2(1(2(z0)))))))))))))))))), 3'(1(1(0(2(2(0(3(3(3(1(2(3(1(2(1(2(z0))))))))))))))))), 1'(1(0(2(2(0(3(3(3(1(2(3(1(2(1(2(z0)))))))))))))))), 1'(0(2(2(0(3(3(3(1(2(3(1(2(1(2(z0))))))))))))))), 0'(2(2(0(3(3(3(1(2(3(1(2(1(2(z0)))))))))))))), 2'(2(0(3(3(3(1(2(3(1(2(1(2(z0))))))))))))), 2'(0(3(3(3(1(2(3(1(2(1(2(z0)))))))))))), 0'(3(3(3(1(2(3(1(2(1(2(z0))))))))))), 3'(3(3(1(2(3(1(2(1(2(z0)))))))))), 3'(3(1(2(3(1(2(1(2(z0))))))))), 3'(1(2(3(1(2(1(2(z0)))))))), 1'(2(3(1(2(1(2(z0))))))), 2'(3(1(2(1(2(z0)))))), 3'(1(2(1(2(z0))))), 1'(2(1(2(z0)))), 2'(1(2(z0))), 1'(2(z0)), 2'(z0))
   3'(c_0(c_3(c_0(c_1(c_3(c_0(c_2(c_0(c_1(c_1(c_0(c_1(c_0(c_2(c_3(c_0(c_3(z0)))))))))))))))))) -> c88(3'(0(0(2(1(1(0(1(0(3(2(1(0(0(3(3(0(3(z0)))))))))))))))))), 0'(0(2(1(1(0(1(0(3(2(1(0(0(3(3(0(3(z0))))))))))))))))), 0'(2(1(1(0(1(0(3(2(1(0(0(3(3(0(3(z0)))))))))))))))), 2'(1(1(0(1(0(3(2(1(0(0(3(3(0(3(z0))))))))))))))), 1'(1(0(1(0(3(2(1(0(0(3(3(0(3(z0)))))))))))))), 1'(0(1(0(3(2(1(0(0(3(3(0(3(z0))))))))))))), 0'(1(0(3(2(1(0(0(3(3(0(3(z0)))))))))))), 1'(0(3(2(1(0(0(3(3(0(3(z0))))))))))), 0'(3(2(1(0(0(3(3(0(3(z0)))))))))), 3'(2(1(0(0(3(3(0(3(z0))))))))), 2'(1(0(0(3(3(0(3(z0)))))))), 1'(0(0(3(3(0(3(z0))))))), 0'(0(3(3(0(3(z0)))))), 0'(3(3(0(3(z0))))), 3'(3(0(3(z0)))), 3'(0(3(z0))), 0'(3(z0)), 3'(z0))
   3'(c_2(c_0(c_2(c_2(c_0(c_0(c_2(c_3(c_0(c_2(c_3(c_0(c_1(c_2(c_2(c_0(c_2(z0)))))))))))))))))) -> c89(2'(0(3(2(2(2(0(3(2(0(2(1(3(2(0(0(0(2(z0)))))))))))))))))), 0'(3(2(2(2(0(3(2(0(2(1(3(2(0(0(0(2(z0))))))))))))))))), 3'(2(2(2(0(3(2(0(2(1(3(2(0(0(0(2(z0)))))))))))))))), 2'(2(2(0(3(2(0(2(1(3(2(0(0(0(2(z0))))))))))))))), 2'(2(0(3(2(0(2(1(3(2(0(0(0(2(z0)))))))))))))), 2'(0(3(2(0(2(1(3(2(0(0(0(2(z0))))))))))))), 0'(3(2(0(2(1(3(2(0(0(0(2(z0)))))))))))), 3'(2(0(2(1(3(2(0(0(0(2(z0))))))))))), 2'(0(2(1(3(2(0(0(0(2(z0)))))))))), 0'(2(1(3(2(0(0(0(2(z0))))))))), 2'(1(3(2(0(0(0(2(z0)))))))), 1'(3(2(0(0(0(2(z0))))))), 3'(2(0(0(0(2(z0)))))), 2'(0(0(0(2(z0))))), 0'(0(0(2(z0)))), 0'(0(2(z0))), 0'(2(z0)), 2'(z0))
   3'(c_2(c_3(c_2(c_1(c_3(c_0(c_1(c_2(c_1(c_2(c_2(c_1(c_0(c_1(c_1(c_0(c_0(z0)))))))))))))))))) -> c90(3'(2(2(0(1(1(1(1(1(0(0(0(3(2(2(1(3(2(z0)))))))))))))))))), 2'(2(0(1(1(1(1(1(0(0(0(3(2(2(1(3(2(z0))))))))))))))))), 2'(0(1(1(1(1(1(0(0(0(3(2(2(1(3(2(z0)))))))))))))))), 0'(1(1(1(1(1(0(0(0(3(2(2(1(3(2(z0))))))))))))))), 1'(1(1(1(1(0(0(0(3(2(2(1(3(2(z0)))))))))))))), 1'(1(1(1(0(0(0(3(2(2(1(3(2(z0))))))))))))), 1'(1(1(0(0(0(3(2(2(1(3(2(z0)))))))))))), 1'(1(0(0(0(3(2(2(1(3(2(z0))))))))))), 1'(0(0(0(3(2(2(1(3(2(z0)))))))))), 0'(0(0(3(2(2(1(3(2(z0))))))))), 0'(0(3(2(2(1(3(2(z0)))))))), 0'(3(2(2(1(3(2(z0))))))), 3'(2(2(1(3(2(z0)))))), 2'(2(1(3(2(z0))))), 2'(1(3(2(z0)))), 1'(3(2(z0))), 3'(2(z0)), 2'(z0))
   3'(c_2(c_3(c_1(c_1(c_1(c_3(c_2(c_2(c_1(c_2(c_1(c_0(c_0(c_3(c_1(c_3(c_3(z0)))))))))))))))))) -> c91(3'(2(3(2(0(3(1(1(2(3(2(0(1(3(1(1(1(3(z0)))))))))))))))))), 2'(3(2(0(3(1(1(2(3(2(0(1(3(1(1(1(3(z0))))))))))))))))), 3'(2(0(3(1(1(2(3(2(0(1(3(1(1(1(3(z0)))))))))))))))), 2'(0(3(1(1(2(3(2(0(1(3(1(1(1(3(z0))))))))))))))), 0'(3(1(1(2(3(2(0(1(3(1(1(1(3(z0)))))))))))))), 3'(1(1(2(3(2(0(1(3(1(1(1(3(z0))))))))))))), 1'(1(2(3(2(0(1(3(1(1(1(3(z0)))))))))))), 1'(2(3(2(0(1(3(1(1(1(3(z0))))))))))), 2'(3(2(0(1(3(1(1(1(3(z0)))))))))), 3'(2(0(1(3(1(1(1(3(z0))))))))), 2'(0(1(3(1(1(1(3(z0)))))))), 0'(1(3(1(1(1(3(z0))))))), 1'(3(1(1(1(3(z0)))))), 3'(1(1(1(3(z0))))), 1'(1(1(3(z0)))), 1'(1(3(z0))), 1'(3(z0)), 3'(z0))
   ENCODE_0(z0) -> c8(0'(encArg(z0)))
   ENCODE_0(z0) -> c8(ENCARG(z0))
   ENCODE_1(z0) -> c8(1'(encArg(z0)))
   ENCODE_1(z0) -> c8(ENCARG(z0))
   ENCODE_3(z0) -> c8(3'(encArg(z0)))
   ENCODE_3(z0) -> c8(ENCARG(z0))
   ENCODE_2(z0) -> c8(2'(encArg(z0)))
   ENCODE_2(z0) -> c8(ENCARG(z0))
S tuples:
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   0'(c_0(c_0(c_0(c_1(c_1(c_3(c_2(c_3(c_3(c_0(c_1(c_1(c_2(c_0(c_1(c_3(c_1(z0)))))))))))))))))) -> c13(0'(0(0(1(1(1(0(1(3(3(1(0(3(2(0(2(3(1(z0)))))))))))))))))), 0'(0(1(1(1(0(1(3(3(1(0(3(2(0(2(3(1(z0))))))))))))))))), 0'(1(1(1(0(1(3(3(1(0(3(2(0(2(3(1(z0)))))))))))))))), 1'(1(1(0(1(3(3(1(0(3(2(0(2(3(1(z0))))))))))))))), 1'(1(0(1(3(3(1(0(3(2(0(2(3(1(z0)))))))))))))), 1'(0(1(3(3(1(0(3(2(0(2(3(1(z0))))))))))))), 0'(1(3(3(1(0(3(2(0(2(3(1(z0)))))))))))), 1'(3(3(1(0(3(2(0(2(3(1(z0))))))))))), 3'(3(1(0(3(2(0(2(3(1(z0)))))))))), 3'(1(0(3(2(0(2(3(1(z0))))))))), 1'(0(3(2(0(2(3(1(z0)))))))), 0'(3(2(0(2(3(1(z0))))))), 3'(2(0(2(3(1(z0)))))), 2'(0(2(3(1(z0))))), 0'(2(3(1(z0)))), 2'(3(1(z0))), 3'(1(z0)), 1'(z0))
   0'(c_2(c_1(c_2(c_1(c_1(c_2(c_3(c_2(c_1(c_0(c_0(c_1(c_0(c_0(c_3(c_0(c_3(z0)))))))))))))))))) -> c14(0'(3(2(0(0(1(2(1(0(2(1(1(3(1(0(0(2(3(z0)))))))))))))))))), 3'(2(0(0(1(2(1(0(2(1(1(3(1(0(0(2(3(z0))))))))))))))))), 2'(0(0(1(2(1(0(2(1(1(3(1(0(0(2(3(z0)))))))))))))))), 0'(0(1(2(1(0(2(1(1(3(1(0(0(2(3(z0))))))))))))))), 0'(1(2(1(0(2(1(1(3(1(0(0(2(3(z0)))))))))))))), 1'(2(1(0(2(1(1(3(1(0(0(2(3(z0))))))))))))), 2'(1(0(2(1(1(3(1(0(0(2(3(z0)))))))))))), 1'(0(2(1(1(3(1(0(0(2(3(z0))))))))))), 0'(2(1(1(3(1(0(0(2(3(z0)))))))))), 2'(1(1(3(1(0(0(2(3(z0))))))))), 1'(1(3(1(0(0(2(3(z0)))))))), 1'(3(1(0(0(2(3(z0))))))), 3'(1(0(0(2(3(z0)))))), 1'(0(0(2(3(z0))))), 0'(0(2(3(z0)))), 0'(2(3(z0))), 2'(3(z0)), 3'(z0))
   0'(c_0(c_0(c_2(c_3(c_0(c_0(c_0(c_0(c_0(c_0(c_1(c_1(c_0(c_3(c_0(c_0(c_0(z0)))))))))))))))))) -> c15(0'(0(3(1(0(0(0(0(2(0(0(0(3(1(0(0(0(0(z0)))))))))))))))))), 0'(3(1(0(0(0(0(2(0(0(0(3(1(0(0(0(0(z0))))))))))))))))), 3'(1(0(0(0(0(2(0(0(0(3(1(0(0(0(0(z0)))))))))))))))), 1'(0(0(0(0(2(0(0(0(3(1(0(0(0(0(z0))))))))))))))), 0'(0(0(0(2(0(0(0(3(1(0(0(0(0(z0)))))))))))))), 0'(0(0(2(0(0(0(3(1(0(0(0(0(z0))))))))))))), 0'(0(2(0(0(0(3(1(0(0(0(0(z0)))))))))))), 0'(2(0(0(0(3(1(0(0(0(0(z0))))))))))), 2'(0(0(0(3(1(0(0(0(0(z0)))))))))), 0'(0(0(3(1(0(0(0(0(z0))))))))), 0'(0(3(1(0(0(0(0(z0)))))))), 0'(3(1(0(0(0(0(z0))))))), 3'(1(0(0(0(0(z0)))))), 1'(0(0(0(0(z0))))), 0'(0(0(0(z0)))), 0'(0(0(z0))), 0'(0(z0)), 0'(z0))
   0'(c_3(c_2(c_0(c_3(c_0(c_0(c_1(c_2(c_1(c_2(c_0(c_1(c_2(c_1(c_3(c_0(c_0(z0)))))))))))))))))) -> c16(0'(2(2(0(3(3(1(0(0(3(0(2(1(1(0(1(2(0(z0)))))))))))))))))), 2'(2(0(3(3(1(0(0(3(0(2(1(1(0(1(2(0(z0))))))))))))))))), 2'(0(3(3(1(0(0(3(0(2(1(1(0(1(2(0(z0)))))))))))))))), 0'(3(3(1(0(0(3(0(2(1(1(0(1(2(0(z0))))))))))))))), 3'(3(1(0(0(3(0(2(1(1(0(1(2(0(z0)))))))))))))), 3'(1(0(0(3(0(2(1(1(0(1(2(0(z0))))))))))))), 1'(0(0(3(0(2(1(1(0(1(2(0(z0)))))))))))), 0'(0(3(0(2(1(1(0(1(2(0(z0))))))))))), 0'(3(0(2(1(1(0(1(2(0(z0)))))))))), 3'(0(2(1(1(0(1(2(0(z0))))))))), 0'(2(1(1(0(1(2(0(z0)))))))), 2'(1(1(0(1(2(0(z0))))))), 1'(1(0(1(2(0(z0)))))), 1'(0(1(2(0(z0))))), 0'(1(2(0(z0)))), 1'(2(0(z0))), 2'(0(z0)), 0'(z0))
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   1'(c_2(c_2(c_3(c_3(c_2(c_0(c_1(c_3(c_1(c_2(c_0(c_3(c_0(c_3(c_2(c_0(c_2(z0)))))))))))))))))) -> c31(2'(3(1(0(3(1(0(2(3(3(2(2(0(0(3(1(2(2(z0)))))))))))))))))), 3'(1(0(3(1(0(2(3(3(2(2(0(0(3(1(2(2(z0))))))))))))))))), 1'(0(3(1(0(2(3(3(2(2(0(0(3(1(2(2(z0)))))))))))))))), 0'(3(1(0(2(3(3(2(2(0(0(3(1(2(2(z0))))))))))))))), 3'(1(0(2(3(3(2(2(0(0(3(1(2(2(z0)))))))))))))), 1'(0(2(3(3(2(2(0(0(3(1(2(2(z0))))))))))))), 0'(2(3(3(2(2(0(0(3(1(2(2(z0)))))))))))), 2'(3(3(2(2(0(0(3(1(2(2(z0))))))))))), 3'(3(2(2(0(0(3(1(2(2(z0)))))))))), 3'(2(2(0(0(3(1(2(2(z0))))))))), 2'(2(0(0(3(1(2(2(z0)))))))), 2'(0(0(3(1(2(2(z0))))))), 0'(0(3(1(2(2(z0)))))), 0'(3(1(2(2(z0))))), 3'(1(2(2(z0)))), 1'(2(2(z0))), 2'(2(z0)), 2'(z0))
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   1'(c_3(c_3(c_1(c_3(c_2(c_2(c_2(c_2(c_2(c_0(c_1(c_2(c_2(c_0(c_3(c_0(c_3(z0)))))))))))))))))) -> c33(1'(3(2(0(1(0(2(2(2(2(2(1(0(3(3(3(2(3(z0)))))))))))))))))), 3'(2(0(1(0(2(2(2(2(2(1(0(3(3(3(2(3(z0))))))))))))))))), 2'(0(1(0(2(2(2(2(2(1(0(3(3(3(2(3(z0)))))))))))))))), 0'(1(0(2(2(2(2(2(1(0(3(3(3(2(3(z0))))))))))))))), 1'(0(2(2(2(2(2(1(0(3(3(3(2(3(z0)))))))))))))), 0'(2(2(2(2(2(1(0(3(3(3(2(3(z0))))))))))))), 2'(2(2(2(2(1(0(3(3(3(2(3(z0)))))))))))), 2'(2(2(2(1(0(3(3(3(2(3(z0))))))))))), 2'(2(2(1(0(3(3(3(2(3(z0)))))))))), 2'(2(1(0(3(3(3(2(3(z0))))))))), 2'(1(0(3(3(3(2(3(z0)))))))), 1'(0(3(3(3(2(3(z0))))))), 0'(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))
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   3'(c_3(c_3(c_0(c_1(c_3(c_3(c_1(c_2(c_3(c_0(c_2(c_1(c_3(c_2(c_1(c_0(c_0(z0)))))))))))))))))) -> c81(3'(1(1(1(3(0(1(3(0(2(3(2(3(0(3(2(3(0(z0)))))))))))))))))), 1'(1(1(3(0(1(3(0(2(3(2(3(0(3(2(3(0(z0))))))))))))))))), 1'(1(3(0(1(3(0(2(3(2(3(0(3(2(3(0(z0)))))))))))))))), 1'(3(0(1(3(0(2(3(2(3(0(3(2(3(0(z0))))))))))))))), 3'(0(1(3(0(2(3(2(3(0(3(2(3(0(z0)))))))))))))), 0'(1(3(0(2(3(2(3(0(3(2(3(0(z0))))))))))))), 1'(3(0(2(3(2(3(0(3(2(3(0(z0)))))))))))), 3'(0(2(3(2(3(0(3(2(3(0(z0))))))))))), 0'(2(3(2(3(0(3(2(3(0(z0)))))))))), 2'(3(2(3(0(3(2(3(0(z0))))))))), 3'(2(3(0(3(2(3(0(z0)))))))), 2'(3(0(3(2(3(0(z0))))))), 3'(0(3(2(3(0(z0)))))), 0'(3(2(3(0(z0))))), 3'(2(3(0(z0)))), 2'(3(0(z0))), 3'(0(z0)), 0'(z0))
   3'(c_1(c_2(c_0(c_3(c_0(c_1(c_2(c_0(c_3(c_3(c_2(c_3(c_2(c_2(c_1(c_2(c_3(z0)))))))))))))))))) -> c82(3'(1(3(2(1(1(3(2(0(0(0(3(2(2(2(3(2(3(z0)))))))))))))))))), 1'(3(2(1(1(3(2(0(0(0(3(2(2(2(3(2(3(z0))))))))))))))))), 3'(2(1(1(3(2(0(0(0(3(2(2(2(3(2(3(z0)))))))))))))))), 2'(1(1(3(2(0(0(0(3(2(2(2(3(2(3(z0))))))))))))))), 1'(1(3(2(0(0(0(3(2(2(2(3(2(3(z0)))))))))))))), 1'(3(2(0(0(0(3(2(2(2(3(2(3(z0))))))))))))), 3'(2(0(0(0(3(2(2(2(3(2(3(z0)))))))))))), 2'(0(0(0(3(2(2(2(3(2(3(z0))))))))))), 0'(0(0(3(2(2(2(3(2(3(z0)))))))))), 0'(0(3(2(2(2(3(2(3(z0))))))))), 0'(3(2(2(2(3(2(3(z0)))))))), 3'(2(2(2(3(2(3(z0))))))), 2'(2(2(3(2(3(z0)))))), 2'(2(3(2(3(z0))))), 2'(3(2(3(z0)))), 3'(2(3(z0))), 2'(3(z0)), 3'(z0))
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   3'(c_0(c_2(c_1(c_3(c_3(c_0(c_1(c_1(c_3(c_0(c_1(c_2(c_3(c_1(c_2(c_1(c_3(z0)))))))))))))))))) -> c85(0'(1(1(2(3(2(3(1(0(2(1(1(1(0(3(3(3(3(z0)))))))))))))))))), 1'(1(2(3(2(3(1(0(2(1(1(1(0(3(3(3(3(z0))))))))))))))))), 1'(2(3(2(3(1(0(2(1(1(1(0(3(3(3(3(z0)))))))))))))))), 2'(3(2(3(1(0(2(1(1(1(0(3(3(3(3(z0))))))))))))))), 3'(2(3(1(0(2(1(1(1(0(3(3(3(3(z0)))))))))))))), 2'(3(1(0(2(1(1(1(0(3(3(3(3(z0))))))))))))), 3'(1(0(2(1(1(1(0(3(3(3(3(z0)))))))))))), 1'(0(2(1(1(1(0(3(3(3(3(z0))))))))))), 0'(2(1(1(1(0(3(3(3(3(z0)))))))))), 2'(1(1(1(0(3(3(3(3(z0))))))))), 1'(1(1(0(3(3(3(3(z0)))))))), 1'(1(0(3(3(3(3(z0))))))), 1'(0(3(3(3(3(z0)))))), 0'(3(3(3(3(z0))))), 3'(3(3(3(z0)))), 3'(3(3(z0))), 3'(3(z0)), 3'(z0))
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K tuples:none
Defined Rule Symbols:   0_1, 2_1, 3_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, c21_18, c22_18, c23_18, c24_18, c25_18, c26_18, c27_18, c28_18, c29_18, c30_18, c31_18, c32_18, c33_18, c34_18, 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_18, c57_18, c58_18, c60_18, c61_18, c62_18, c63_18, c64_18, c65_18, c66_18, c67_18, c68_18, c69_18, c70_18, c71_18, c72_18, c73_18, c74_18, c75_18, c76_18, c77_18, c78_18, c79_18, c80_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_3(c_0(c_0(c_2(c_1(c_0(c_0(c_2(c_1(c_2(c_2(c_3(c_2(c_0(c_0(c_2(c_0(z0)))))))))))))))))) -> 0(2(0(0(0(2(0(3(0(2(2(0(1(1(3(2(2(0(z0))))))))))))))))))
   0(c_0(c_3(c_3(c_0(c_2(c_3(c_0(c_3(c_0(c_2(c_1(c_0(c_0(c_0(c_3(c_3(c_0(z0)))))))))))))))))) -> 0(0(3(1(0(3(0(0(3(3(0(3(3(0(0(2(0(2(z0))))))))))))))))))
   0(c_0(c_1(c_1(c_2(c_1(c_3(c_1(c_3(c_1(c_1(c_1(c_2(c_2(c_1(c_0(c_2(c_2(z0)))))))))))))))))) -> 2(1(1(1(1(0(3(1(1(1(2(0(3(1(0(2(2(2(z0))))))))))))))))))
   0(c_3(c_3(c_0(c_0(c_0(c_1(c_3(c_2(c_2(c_3(c_2(c_1(c_3(c_0(c_0(c_2(c_1(z0)))))))))))))))))) -> 0(2(2(0(0(3(0(2(3(1(0(3(1(0(3(2(3(1(z0))))))))))))))))))
   0(c_0(c_0(c_0(c_1(c_1(c_3(c_2(c_3(c_3(c_0(c_1(c_1(c_2(c_0(c_1(c_3(c_1(z0)))))))))))))))))) -> 0(0(0(1(1(1(0(1(3(3(1(0(3(2(0(2(3(1(z0))))))))))))))))))
   0(c_2(c_1(c_2(c_1(c_1(c_2(c_3(c_2(c_1(c_0(c_0(c_1(c_0(c_0(c_3(c_0(c_3(z0)))))))))))))))))) -> 0(3(2(0(0(1(2(1(0(2(1(1(3(1(0(0(2(3(z0))))))))))))))))))
   0(c_0(c_0(c_2(c_3(c_0(c_0(c_0(c_0(c_0(c_0(c_1(c_1(c_0(c_3(c_0(c_0(c_0(z0)))))))))))))))))) -> 0(0(3(1(0(0(0(0(2(0(0(0(3(1(0(0(0(0(z0))))))))))))))))))
   0(c_3(c_2(c_0(c_3(c_0(c_0(c_1(c_2(c_1(c_2(c_0(c_1(c_2(c_1(c_3(c_0(c_0(z0)))))))))))))))))) -> 0(2(2(0(3(3(1(0(0(3(0(2(1(1(0(1(2(0(z0))))))))))))))))))
   0(c_2(c_0(c_2(c_1(c_1(c_2(c_1(c_2(c_0(c_0(c_3(c_2(c_2(c_3(c_0(c_0(c_3(z0)))))))))))))))))) -> 0(3(2(2(0(2(2(2(2(0(3(0(1(0(1(1(0(3(z0))))))))))))))))))
   0(c_2(c_3(c_1(c_2(c_3(c_2(c_1(c_0(c_1(c_0(c_0(c_3(c_1(c_3(c_1(c_2(c_3(z0)))))))))))))))))) -> 0(2(3(3(1(2(1(1(1(0(2(3(1(0(2(0(3(3(z0))))))))))))))))))
   0(c_2(c_0(c_1(c_3(c_0(c_0(c_1(c_3(c_0(c_2(c_0(c_1(c_3(c_1(c_1(c_3(c_1(z0)))))))))))))))))) -> 0(2(0(1(3(1(1(2(1(0(0(3(3(0(0(1(3(1(z0))))))))))))))))))
   1(z0) -> c_1(z0)
   1(c_0(c_0(c_1(c_0(c_0(c_3(c_3(c_0(c_0(c_2(c_1(c_2(c_1(c_3(c_3(c_1(c_3(z0)))))))))))))))))) -> 1(0(3(0(0(3(3(0(0(2(1(0(3(1(2(3(1(1(z0))))))))))))))))))
   1(c_3(c_3(c_0(c_3(c_2(c_1(c_1(c_1(c_0(c_1(c_3(c_2(c_3(c_1(c_1(c_2(c_1(z0)))))))))))))))))) -> 1(3(1(3(0(1(1(3(2(3(2(2(0(3(1(1(1(1(z0))))))))))))))))))
   1(c_2(c_3(c_1(c_3(c_0(c_1(c_2(c_2(c_0(c_2(c_0(c_1(c_1(c_1(c_1(c_0(c_1(z0)))))))))))))))))) -> 1(2(2(0(1(1(1(1(0(0(3(2(1(0(2(3(1(1(z0))))))))))))))))))
   1(c_0(c_3(c_1(c_2(c_0(c_3(c_3(c_2(c_1(c_2(c_0(c_0(c_1(c_0(c_2(c_1(c_3(z0)))))))))))))))))) -> 1(0(3(3(1(0(2(0(3(1(0(3(2(1(2(2(1(0(z0))))))))))))))))))
   1(c_1(c_3(c_2(c_1(c_0(c_0(c_3(c_3(c_1(c_1(c_3(c_2(c_0(c_1(c_2(c_1(c_1(z0)))))))))))))))))) -> 1(1(2(3(3(0(0(3(3(1(1(1(1(1(0(2(2(1(z0))))))))))))))))))
   1(c_1(c_2(c_0(c_3(c_0(c_2(c_1(c_3(c_3(c_0(c_3(c_3(c_3(c_3(c_3(c_1(c_2(z0)))))))))))))))))) -> 1(0(3(3(0(3(3(1(0(2(3(1(1(3(2(3(2(3(z0))))))))))))))))))
   1(c_3(c_0(c_3(c_0(c_1(c_3(c_1(c_2(c_1(c_0(c_2(c_1(c_1(c_3(c_0(c_1(c_1(z0)))))))))))))))))) -> 1(0(1(0(3(1(3(1(0(1(1(3(2(3(0(2(1(1(z0))))))))))))))))))
   1(c_3(c_3(c_3(c_1(c_2(c_0(c_1(c_2(c_0(c_0(c_2(c_1(c_3(c_3(c_3(c_0(c_2(z0)))))))))))))))))) -> 1(3(1(1(0(3(3(0(2(0(1(3(0(3(2(3(2(2(z0))))))))))))))))))
   1(c_1(c_2(c_1(c_0(c_0(c_3(c_0(c_3(c_1(c_3(c_0(c_1(c_3(c_1(c_3(c_3(c_3(z0)))))))))))))))))) -> 3(0(1(1(1(1(3(0(3(1(1(0(3(0(2(3(3(3(z0))))))))))))))))))
   1(c_3(c_0(c_1(c_3(c_1(c_2(c_1(c_2(c_1(c_2(c_2(c_2(c_1(c_3(c_0(c_1(c_3(z0)))))))))))))))))) -> 2(3(2(1(1(2(2(1(3(1(0(2(1(1(1(0(3(3(z0))))))))))))))))))
   1(c_2(c_2(c_3(c_3(c_2(c_0(c_1(c_3(c_1(c_2(c_0(c_3(c_0(c_3(c_2(c_0(c_2(z0)))))))))))))))))) -> 2(3(1(0(3(1(0(2(3(3(2(2(0(0(3(1(2(2(z0))))))))))))))))))
   1(c_3(c_2(c_1(c_0(c_1(c_2(c_1(c_3(c_1(c_1(c_3(c_3(c_3(c_0(c_2(c_1(c_3(z0)))))))))))))))))) -> 1(0(3(1(1(2(2(3(2(3(1(1(3(1(1(0(3(3(z0))))))))))))))))))
   1(c_3(c_3(c_1(c_3(c_2(c_2(c_2(c_2(c_2(c_0(c_1(c_2(c_2(c_0(c_3(c_0(c_3(z0)))))))))))))))))) -> 1(3(2(0(1(0(2(2(2(2(2(1(0(3(3(3(2(3(z0))))))))))))))))))
   1(c_1(c_2(c_0(c_3(c_0(c_1(c_3(c_0(c_2(c_3(c_3(c_3(c_2(c_2(c_3(c_0(c_3(z0)))))))))))))))))) -> 3(3(0(3(1(0(3(2(3(2(2(0(3(2(1(1(0(3(z0))))))))))))))))))
   2(z0) -> c_2(z0)
   2(c_1(c_0(c_1(c_1(c_2(c_2(c_3(c_3(c_2(c_1(c_2(c_1(c_2(c_2(c_3(c_0(c_2(z0)))))))))))))))))) -> 2(3(2(1(1(0(1(2(2(2(0(3(2(2(1(1(3(2(z0))))))))))))))))))
   2(c_0(c_3(c_2(c_0(c_3(c_1(c_0(c_0(c_0(c_1(c_3(c_0(c_0(c_3(c_0(c_2(c_2(z0)))))))))))))))))) -> 2(3(0(0(0(0(0(0(0(2(3(1(3(1(0(3(2(2(z0))))))))))))))))))
   2(c_1(c_1(c_1(c_0(c_1(c_0(c_0(c_3(c_3(c_0(c_3(c_2(c_0(c_1(c_2(c_1(c_3(z0)))))))))))))))))) -> 2(2(3(0(3(1(0(0(3(0(1(1(1(1(2(1(0(3(z0))))))))))))))))))
   2(c_2(c_1(c_3(c_0(c_1(c_3(c_0(c_1(c_2(c_0(c_2(c_2(c_1(c_3(c_2(c_2(c_2(z0)))))))))))))))))) -> 1(1(2(2(3(3(3(2(2(0(2(0(1(0(2(2(1(2(z0))))))))))))))))))
   2(c_1(c_0(c_0(c_3(c_0(c_0(c_0(c_1(c_3(c_0(c_1(c_3(c_0(c_1(c_3(c_2(c_1(z0)))))))))))))))))) -> 3(0(0(0(1(1(2(3(3(0(0(3(0(1(0(2(1(1(z0))))))))))))))))))
   2(c_2(c_1(c_2(c_3(c_2(c_1(c_1(c_1(c_0(c_0(c_3(c_3(c_1(c_2(c_2(c_1(c_3(z0)))))))))))))))))) -> 2(2(1(1(1(2(1(2(3(2(3(1(3(1(0(2(0(3(z0))))))))))))))))))
   2(c_1(c_1(c_3(c_0(c_2(c_1(c_3(c_2(c_2(c_3(c_3(c_3(c_1(c_3(c_2(c_3(c_3(z0)))))))))))))))))) -> 2(2(3(3(1(2(1(0(1(1(3(3(2(3(3(2(3(3(z0))))))))))))))))))
   2(c_1(c_3(c_0(c_3(c_0(c_1(c_0(c_1(c_3(c_3(c_0(c_1(c_3(c_3(c_0(c_2(c_3(z0)))))))))))))))))) -> 2(3(3(0(3(3(0(0(3(2(3(1(1(1(0(3(1(0(z0))))))))))))))))))
   2(c_2(c_1(c_2(c_2(c_2(c_2(c_2(c_1(c_3(c_2(c_1(c_3(c_0(c_3(c_3(c_1(c_2(z0)))))))))))))))))) -> 2(2(0(2(2(2(3(1(2(1(3(2(3(1(1(2(3(2(z0))))))))))))))))))
   2(c_2(c_1(c_0(c_1(c_3(c_2(c_2(c_0(c_2(c_2(c_2(c_2(c_0(c_2(c_2(c_1(c_2(z0)))))))))))))))))) -> 2(3(2(2(2(1(2(2(2(0(1(0(2(2(0(2(1(2(z0))))))))))))))))))
   2(c_2(c_3(c_0(c_2(c_3(c_1(c_2(c_0(c_2(c_2(c_1(c_3(c_0(c_0(c_1(c_3(c_2(z0)))))))))))))))))) -> 3(0(2(1(3(2(2(1(1(2(0(3(0(0(2(2(3(2(z0))))))))))))))))))
   2(c_2(c_3(c_1(c_1(c_2(c_0(c_2(c_0(c_3(c_0(c_0(c_2(c_1(c_0(c_1(c_3(c_2(z0)))))))))))))))))) -> 2(2(3(2(2(0(3(0(3(1(0(1(1(1(2(2(0(0(z0))))))))))))))))))
   2(c_2(c_3(c_1(c_3(c_1(c_3(c_0(c_2(c_1(c_3(c_1(c_2(c_3(c_1(c_3(c_3(c_1(z0)))))))))))))))))) -> 2(3(3(1(3(1(3(3(2(3(1(1(2(3(2(1(0(1(z0))))))))))))))))))
   2(c_1(c_0(c_2(c_0(c_1(c_0(c_3(c_2(c_1(c_3(c_1(c_1(c_3(c_2(c_2(c_1(c_0(z0)))))))))))))))))) -> 2(3(1(2(3(2(2(1(2(0(0(1(0(3(1(1(1(0(z0))))))))))))))))))
   2(c_1(c_2(c_2(c_1(c_0(c_1(c_3(c_0(c_1(c_1(c_0(c_0(c_3(c_3(c_2(c_2(c_3(z0)))))))))))))))))) -> 2(0(3(1(0(1(3(1(3(2(2(2(2(0(1(1(0(3(z0))))))))))))))))))
   2(c_2(c_1(c_2(c_0(c_1(c_3(c_0(c_1(c_1(c_1(c_1(c_2(c_2(c_0(c_0(c_2(c_2(z0)))))))))))))))))) -> 2(0(0(1(1(0(2(2(3(1(2(2(1(2(1(1(0(2(z0))))))))))))))))))
   2(c_2(c_1(c_2(c_2(c_2(c_3(c_2(c_0(c_3(c_3(c_0(c_1(c_2(c_0(c_2(c_3(c_3(z0)))))))))))))))))) -> 2(3(1(3(1(0(2(2(3(0(2(2(2(3(2(2(0(3(z0))))))))))))))))))
   2(c_2(c_3(c_1(c_0(c_3(c_0(c_2(c_1(c_3(c_2(c_2(c_2(c_3(c_3(c_3(c_1(c_2(z0)))))))))))))))))) -> 1(1(0(3(2(2(3(2(2(1(0(2(3(3(2(3(3(2(z0))))))))))))))))))
   2(c_3(c_3(c_1(c_3(c_1(c_0(c_0(c_1(c_1(c_3(c_3(c_3(c_1(c_2(c_2(c_1(c_3(z0)))))))))))))))))) -> 2(2(1(3(3(1(1(0(3(1(1(1(3(3(2(3(0(3(z0))))))))))))))))))
   2(c_0(c_1(c_2(c_0(c_0(c_0(c_2(c_2(c_1(c_3(c_2(c_1(c_0(c_1(c_0(c_2(c_0(z0)))))))))))))))))) -> 2(0(2(0(1(0(1(1(0(1(0(3(2(0(2(2(2(0(z0))))))))))))))))))
   2(c_1(c_3(c_1(c_1(c_2(c_1(c_2(c_3(c_0(c_3(c_2(c_0(c_1(c_0(c_1(c_2(c_1(z0)))))))))))))))))) -> 3(0(0(3(1(1(1(1(1(2(3(2(0(2(2(1(2(1(z0))))))))))))))))))
   2(c_3(c_2(c_1(c_3(c_1(c_2(c_0(c_0(c_1(c_3(c_0(c_1(c_2(c_0(c_3(c_1(c_1(z0)))))))))))))))))) -> 1(2(3(1(1(0(1(3(0(0(0(3(2(3(2(2(1(1(z0))))))))))))))))))
   2(c_3(c_2(c_1(c_2(c_0(c_3(c_0(c_1(c_3(c_3(c_3(c_0(c_2(c_3(c_0(c_0(c_0(z0)))))))))))))))))) -> 3(0(0(3(0(2(3(1(1(3(3(2(2(0(3(0(2(0(z0))))))))))))))))))
   3(z0) -> c_3(z0)
   3(c_0(c_0(c_3(c_1(c_3(c_3(c_2(c_2(c_1(c_1(c_0(c_2(c_1(c_2(c_0(c_2(c_0(z0)))))))))))))))))) -> 3(3(1(0(2(0(2(0(2(0(2(3(1(1(3(1(0(2(z0))))))))))))))))))
   3(c_2(c_0(c_1(c_0(c_0(c_0(c_3(c_1(c_3(c_1(c_3(c_3(c_2(c_0(c_1(c_1(c_1(z0)))))))))))))))))) -> 3(2(0(3(0(1(1(1(0(1(1(0(3(0(3(2(3(1(z0))))))))))))))))))
   3(c_2(c_2(c_3(c_1(c_2(c_2(c_2(c_1(c_3(c_3(c_3(c_0(c_2(c_1(c_3(c_2(c_1(z0)))))))))))))))))) -> 3(2(2(1(2(2(2(3(2(3(3(1(1(3(3(0(2(1(z0))))))))))))))))))
   3(c_0(c_1(c_0(c_2(c_0(c_3(c_1(c_3(c_3(c_1(c_3(c_3(c_0(c_2(c_2(c_3(c_0(z0)))))))))))))))))) -> 3(0(2(1(0(3(0(3(3(0(2(3(3(1(1(2(3(0(z0))))))))))))))))))
   3(c_3(c_2(c_0(c_3(c_1(c_2(c_2(c_3(c_1(c_3(c_2(c_3(c_2(c_2(c_1(c_2(c_0(z0)))))))))))))))))) -> 3(2(1(3(2(3(2(0(3(2(2(3(2(3(1(1(2(0(z0))))))))))))))))))
   3(c_1(c_2(c_3(c_0(c_2(c_2(c_1(c_1(c_3(c_1(c_0(c_0(c_1(c_0(c_2(c_3(c_0(z0)))))))))))))))))) -> 3(1(0(0(0(3(1(1(0(3(1(2(1(2(2(3(2(0(z0))))))))))))))))))
   3(c_0(c_3(c_2(c_0(c_3(c_1(c_1(c_2(c_1(c_3(c_3(c_2(c_1(c_0(c_3(c_2(c_1(z0)))))))))))))))))) -> 2(3(3(0(1(1(1(0(2(1(2(3(3(0(3(3(2(1(z0))))))))))))))))))
   3(c_3(c_0(c_3(c_1(c_3(c_3(c_1(c_2(c_0(c_3(c_2(c_2(c_2(c_3(c_2(c_3(c_0(z0)))))))))))))))))) -> 3(2(3(1(0(3(2(1(2(3(3(3(0(0(3(3(2(2(z0))))))))))))))))))
   3(c_1(c_1(c_3(c_1(c_3(c_3(c_0(c_3(c_1(c_3(c_0(c_2(c_1(c_2(c_2(c_1(c_3(z0)))))))))))))))))) -> 3(3(3(2(0(2(1(1(2(3(1(1(3(0(3(1(1(3(z0))))))))))))))))))
   3(c_3(c_0(c_2(c_3(c_3(c_0(c_0(c_2(c_1(c_0(c_3(c_0(c_1(c_0(c_1(c_0(c_2(z0)))))))))))))))))) -> 2(0(3(3(3(0(2(0(3(1(1(1(0(0(0(0(3(2(z0))))))))))))))))))
   3(c_2(c_0(c_1(c_2(c_1(c_2(c_3(c_2(c_3(c_2(c_0(c_2(c_1(c_2(c_1(c_2(c_0(z0)))))))))))))))))) -> 2(1(1(3(2(0(2(3(1(1(2(2(0(2(3(2(2(0(z0))))))))))))))))))
   3(c_0(c_1(c_3(c_2(c_2(c_3(c_2(c_0(c_1(c_0(c_0(c_3(c_0(c_1(c_0(c_2(c_0(z0)))))))))))))))))) -> 2(3(1(2(0(2(0(3(1(0(0(0(3(2(3(1(0(0(z0))))))))))))))))))
   3(c_0(c_1(c_0(c_0(c_1(c_3(c_0(c_0(c_1(c_3(c_0(c_1(c_2(c_0(c_3(c_3(c_3(z0)))))))))))))))))) -> 1(1(3(0(0(3(1(0(1(0(2(3(0(3(3(0(0(3(z0))))))))))))))))))
   3(c_3(c_1(c_1(c_3(c_0(c_2(c_1(c_3(c_2(c_0(c_1(c_2(c_3(c_3(c_3(c_2(c_3(z0)))))))))))))))))) -> 3(1(0(3(1(1(0(3(3(2(2(2(2(3(1(3(3(3(z0))))))))))))))))))
   3(c_2(c_3(c_3(c_0(c_2(c_3(c_2(c_0(c_2(c_3(c_2(c_2(c_1(c_3(c_3(c_0(c_3(z0)))))))))))))))))) -> 3(3(2(2(3(3(2(3(0(0(3(2(2(1(0(3(2(3(z0))))))))))))))))))
   3(c_2(c_0(c_2(c_2(c_3(c_0(c_0(c_1(c_3(c_0(c_2(c_0(c_0(c_2(c_1(c_3(c_0(z0)))))))))))))))))) -> 2(1(0(0(0(0(3(2(3(0(3(1(3(0(0(2(2(2(z0))))))))))))))))))
   3(c_1(c_3(c_3(c_0(c_2(c_2(c_2(c_0(c_1(c_2(c_0(c_1(c_0(c_1(c_2(c_2(c_0(z0)))))))))))))))))) -> 3(2(3(2(0(3(1(2(1(1(1(2(0(0(0(2(2(0(z0))))))))))))))))))
   3(c_2(c_1(c_2(c_3(c_3(c_1(c_2(c_1(c_1(c_2(c_3(c_0(c_2(c_3(c_1(c_2(c_3(z0)))))))))))))))))) -> 2(0(2(3(1(1(3(3(1(2(2(2(3(3(1(1(2(3(z0))))))))))))))))))
   3(c_3(c_3(c_1(c_3(c_0(c_3(c_3(c_1(c_3(c_0(c_1(c_0(c_0(c_2(c_1(c_2(c_0(z0)))))))))))))))))) -> 3(3(1(1(0(1(3(3(0(3(3(0(2(2(3(1(0(0(z0))))))))))))))))))
   3(c_0(c_3(c_2(c_2(c_3(c_2(c_0(c_3(c_0(c_2(c_2(c_1(c_2(c_0(c_2(c_2(c_0(z0)))))))))))))))))) -> 3(2(1(0(0(3(0(2(3(2(2(0(2(2(3(2(2(0(z0))))))))))))))))))
   3(c_3(c_0(c_1(c_0(c_1(c_3(c_3(c_3(c_2(c_2(c_3(c_3(c_0(c_3(c_3(c_0(c_3(z0)))))))))))))))))) -> 3(3(3(0(2(3(1(0(1(3(2(3(3(3(3(0(0(3(z0))))))))))))))))))
   3(c_3(c_3(c_0(c_1(c_3(c_3(c_1(c_2(c_3(c_0(c_2(c_1(c_3(c_2(c_1(c_0(c_0(z0)))))))))))))))))) -> 3(1(1(1(3(0(1(3(0(2(3(2(3(0(3(2(3(0(z0))))))))))))))))))
   3(c_1(c_2(c_0(c_3(c_0(c_1(c_2(c_0(c_3(c_3(c_2(c_3(c_2(c_2(c_1(c_2(c_3(z0)))))))))))))))))) -> 3(1(3(2(1(1(3(2(0(0(0(3(2(2(2(3(2(3(z0))))))))))))))))))
   3(c_3(c_2(c_1(c_1(c_1(c_1(c_3(c_0(c_0(c_3(c_1(c_2(c_0(c_2(c_2(c_3(c_0(z0)))))))))))))))))) -> 3(3(1(1(0(1(0(2(0(1(1(2(3(3(2(2(3(0(z0))))))))))))))))))
   3(c_0(c_1(c_3(c_2(c_3(c_3(c_2(c_0(c_1(c_1(c_2(c_0(c_1(c_3(c_1(c_3(c_2(z0)))))))))))))))))) -> 3(2(3(3(0(3(1(1(0(2(2(3(1(2(1(1(0(3(z0))))))))))))))))))
   3(c_0(c_2(c_1(c_3(c_3(c_0(c_1(c_1(c_3(c_0(c_1(c_2(c_3(c_1(c_2(c_1(c_3(z0)))))))))))))))))) -> 0(1(1(2(3(2(3(1(0(2(1(1(1(0(3(3(3(3(z0))))))))))))))))))
   3(c_3(c_2(c_0(c_3(c_2(c_1(c_2(c_2(c_1(c_2(c_0(c_1(c_2(c_3(c_3(c_2(c_0(z0)))))))))))))))))) -> 2(0(3(3(1(2(1(2(1(0(2(3(3(2(3(2(2(0(z0))))))))))))))))))
   3(c_2(c_1(c_3(c_2(c_2(c_3(c_3(c_3(c_2(c_1(c_2(c_0(c_1(c_0(c_1(c_1(c_2(z0)))))))))))))))))) -> 2(3(1(1(0(2(2(0(3(3(3(1(2(3(1(2(1(2(z0))))))))))))))))))
   3(c_0(c_3(c_0(c_1(c_3(c_0(c_2(c_0(c_1(c_1(c_0(c_1(c_0(c_2(c_3(c_0(c_3(z0)))))))))))))))))) -> 3(0(0(2(1(1(0(1(0(3(2(1(0(0(3(3(0(3(z0))))))))))))))))))
   3(c_2(c_0(c_2(c_2(c_0(c_0(c_2(c_3(c_0(c_2(c_3(c_0(c_1(c_2(c_2(c_0(c_2(z0)))))))))))))))))) -> 2(0(3(2(2(2(0(3(2(0(2(1(3(2(0(0(0(2(z0))))))))))))))))))
   3(c_2(c_3(c_2(c_1(c_3(c_0(c_1(c_2(c_1(c_2(c_2(c_1(c_0(c_1(c_1(c_0(c_0(z0)))))))))))))))))) -> 3(2(2(0(1(1(1(1(1(0(0(0(3(2(2(1(3(2(z0))))))))))))))))))
   3(c_2(c_3(c_1(c_1(c_1(c_3(c_2(c_2(c_1(c_2(c_1(c_0(c_0(c_3(c_1(c_3(c_3(z0)))))))))))))))))) -> 3(2(3(2(0(3(1(1(2(3(2(0(1(3(1(1(1(3(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_3(c_0(c_0(c_2(c_1(c_0(c_0(c_2(c_1(c_2(c_2(c_3(c_2(c_0(c_0(c_2(c_0(z0)))))))))))))))))) -> c9(0'(2(0(0(0(2(0(3(0(2(2(0(1(1(3(2(2(0(z0)))))))))))))))))), 2'(0(0(0(2(0(3(0(2(2(0(1(1(3(2(2(0(z0))))))))))))))))), 0'(0(0(2(0(3(0(2(2(0(1(1(3(2(2(0(z0)))))))))))))))), 0'(0(2(0(3(0(2(2(0(1(1(3(2(2(0(z0))))))))))))))), 0'(2(0(3(0(2(2(0(1(1(3(2(2(0(z0)))))))))))))), 2'(0(3(0(2(2(0(1(1(3(2(2(0(z0))))))))))))), 0'(3(0(2(2(0(1(1(3(2(2(0(z0)))))))))))), 3'(0(2(2(0(1(1(3(2(2(0(z0))))))))))), 0'(2(2(0(1(1(3(2(2(0(z0)))))))))), 2'(2(0(1(1(3(2(2(0(z0))))))))), 2'(0(1(1(3(2(2(0(z0)))))))), 0'(1(1(3(2(2(0(z0))))))), 1'(1(3(2(2(0(z0)))))), 1'(3(2(2(0(z0))))), 3'(2(2(0(z0)))), 2'(2(0(z0))), 2'(0(z0)), 0'(z0))
   0'(c_0(c_3(c_3(c_0(c_2(c_3(c_0(c_3(c_0(c_2(c_1(c_0(c_0(c_0(c_3(c_3(c_0(z0)))))))))))))))))) -> c10(0'(0(3(1(0(3(0(0(3(3(0(3(3(0(0(2(0(2(z0)))))))))))))))))), 0'(3(1(0(3(0(0(3(3(0(3(3(0(0(2(0(2(z0))))))))))))))))), 3'(1(0(3(0(0(3(3(0(3(3(0(0(2(0(2(z0)))))))))))))))), 1'(0(3(0(0(3(3(0(3(3(0(0(2(0(2(z0))))))))))))))), 0'(3(0(0(3(3(0(3(3(0(0(2(0(2(z0)))))))))))))), 3'(0(0(3(3(0(3(3(0(0(2(0(2(z0))))))))))))), 0'(0(3(3(0(3(3(0(0(2(0(2(z0)))))))))))), 0'(3(3(0(3(3(0(0(2(0(2(z0))))))))))), 3'(3(0(3(3(0(0(2(0(2(z0)))))))))), 3'(0(3(3(0(0(2(0(2(z0))))))))), 0'(3(3(0(0(2(0(2(z0)))))))), 3'(3(0(0(2(0(2(z0))))))), 3'(0(0(2(0(2(z0)))))), 0'(0(2(0(2(z0))))), 0'(2(0(2(z0)))), 2'(0(2(z0))), 0'(2(z0)), 2'(z0))
   0'(c_0(c_1(c_1(c_2(c_1(c_3(c_1(c_3(c_1(c_1(c_1(c_2(c_2(c_1(c_0(c_2(c_2(z0)))))))))))))))))) -> c11(2'(1(1(1(1(0(3(1(1(1(2(0(3(1(0(2(2(2(z0)))))))))))))))))), 1'(1(1(1(0(3(1(1(1(2(0(3(1(0(2(2(2(z0))))))))))))))))), 1'(1(1(0(3(1(1(1(2(0(3(1(0(2(2(2(z0)))))))))))))))), 1'(1(0(3(1(1(1(2(0(3(1(0(2(2(2(z0))))))))))))))), 1'(0(3(1(1(1(2(0(3(1(0(2(2(2(z0)))))))))))))), 0'(3(1(1(1(2(0(3(1(0(2(2(2(z0))))))))))))), 3'(1(1(1(2(0(3(1(0(2(2(2(z0)))))))))))), 1'(1(1(2(0(3(1(0(2(2(2(z0))))))))))), 1'(1(2(0(3(1(0(2(2(2(z0)))))))))), 1'(2(0(3(1(0(2(2(2(z0))))))))), 2'(0(3(1(0(2(2(2(z0)))))))), 0'(3(1(0(2(2(2(z0))))))), 3'(1(0(2(2(2(z0)))))), 1'(0(2(2(2(z0))))), 0'(2(2(2(z0)))), 2'(2(2(z0))), 2'(2(z0)), 2'(z0))
   0'(c_3(c_3(c_0(c_0(c_0(c_1(c_3(c_2(c_2(c_3(c_2(c_1(c_3(c_0(c_0(c_2(c_1(z0)))))))))))))))))) -> c12(0'(2(2(0(0(3(0(2(3(1(0(3(1(0(3(2(3(1(z0)))))))))))))))))), 2'(2(0(0(3(0(2(3(1(0(3(1(0(3(2(3(1(z0))))))))))))))))), 2'(0(0(3(0(2(3(1(0(3(1(0(3(2(3(1(z0)))))))))))))))), 0'(0(3(0(2(3(1(0(3(1(0(3(2(3(1(z0))))))))))))))), 0'(3(0(2(3(1(0(3(1(0(3(2(3(1(z0)))))))))))))), 3'(0(2(3(1(0(3(1(0(3(2(3(1(z0))))))))))))), 0'(2(3(1(0(3(1(0(3(2(3(1(z0)))))))))))), 2'(3(1(0(3(1(0(3(2(3(1(z0))))))))))), 3'(1(0(3(1(0(3(2(3(1(z0)))))))))), 1'(0(3(1(0(3(2(3(1(z0))))))))), 0'(3(1(0(3(2(3(1(z0)))))))), 3'(1(0(3(2(3(1(z0))))))), 1'(0(3(2(3(1(z0)))))), 0'(3(2(3(1(z0))))), 3'(2(3(1(z0)))), 2'(3(1(z0))), 3'(1(z0)), 1'(z0))
   0'(c_0(c_0(c_0(c_1(c_1(c_3(c_2(c_3(c_3(c_0(c_1(c_1(c_2(c_0(c_1(c_3(c_1(z0)))))))))))))))))) -> c13(0'(0(0(1(1(1(0(1(3(3(1(0(3(2(0(2(3(1(z0)))))))))))))))))), 0'(0(1(1(1(0(1(3(3(1(0(3(2(0(2(3(1(z0))))))))))))))))), 0'(1(1(1(0(1(3(3(1(0(3(2(0(2(3(1(z0)))))))))))))))), 1'(1(1(0(1(3(3(1(0(3(2(0(2(3(1(z0))))))))))))))), 1'(1(0(1(3(3(1(0(3(2(0(2(3(1(z0)))))))))))))), 1'(0(1(3(3(1(0(3(2(0(2(3(1(z0))))))))))))), 0'(1(3(3(1(0(3(2(0(2(3(1(z0)))))))))))), 1'(3(3(1(0(3(2(0(2(3(1(z0))))))))))), 3'(3(1(0(3(2(0(2(3(1(z0)))))))))), 3'(1(0(3(2(0(2(3(1(z0))))))))), 1'(0(3(2(0(2(3(1(z0)))))))), 0'(3(2(0(2(3(1(z0))))))), 3'(2(0(2(3(1(z0)))))), 2'(0(2(3(1(z0))))), 0'(2(3(1(z0)))), 2'(3(1(z0))), 3'(1(z0)), 1'(z0))
   0'(c_2(c_1(c_2(c_1(c_1(c_2(c_3(c_2(c_1(c_0(c_0(c_1(c_0(c_0(c_3(c_0(c_3(z0)))))))))))))))))) -> c14(0'(3(2(0(0(1(2(1(0(2(1(1(3(1(0(0(2(3(z0)))))))))))))))))), 3'(2(0(0(1(2(1(0(2(1(1(3(1(0(0(2(3(z0))))))))))))))))), 2'(0(0(1(2(1(0(2(1(1(3(1(0(0(2(3(z0)))))))))))))))), 0'(0(1(2(1(0(2(1(1(3(1(0(0(2(3(z0))))))))))))))), 0'(1(2(1(0(2(1(1(3(1(0(0(2(3(z0)))))))))))))), 1'(2(1(0(2(1(1(3(1(0(0(2(3(z0))))))))))))), 2'(1(0(2(1(1(3(1(0(0(2(3(z0)))))))))))), 1'(0(2(1(1(3(1(0(0(2(3(z0))))))))))), 0'(2(1(1(3(1(0(0(2(3(z0)))))))))), 2'(1(1(3(1(0(0(2(3(z0))))))))), 1'(1(3(1(0(0(2(3(z0)))))))), 1'(3(1(0(0(2(3(z0))))))), 3'(1(0(0(2(3(z0)))))), 1'(0(0(2(3(z0))))), 0'(0(2(3(z0)))), 0'(2(3(z0))), 2'(3(z0)), 3'(z0))
   0'(c_0(c_0(c_2(c_3(c_0(c_0(c_0(c_0(c_0(c_0(c_1(c_1(c_0(c_3(c_0(c_0(c_0(z0)))))))))))))))))) -> c15(0'(0(3(1(0(0(0(0(2(0(0(0(3(1(0(0(0(0(z0)))))))))))))))))), 0'(3(1(0(0(0(0(2(0(0(0(3(1(0(0(0(0(z0))))))))))))))))), 3'(1(0(0(0(0(2(0(0(0(3(1(0(0(0(0(z0)))))))))))))))), 1'(0(0(0(0(2(0(0(0(3(1(0(0(0(0(z0))))))))))))))), 0'(0(0(0(2(0(0(0(3(1(0(0(0(0(z0)))))))))))))), 0'(0(0(2(0(0(0(3(1(0(0(0(0(z0))))))))))))), 0'(0(2(0(0(0(3(1(0(0(0(0(z0)))))))))))), 0'(2(0(0(0(3(1(0(0(0(0(z0))))))))))), 2'(0(0(0(3(1(0(0(0(0(z0)))))))))), 0'(0(0(3(1(0(0(0(0(z0))))))))), 0'(0(3(1(0(0(0(0(z0)))))))), 0'(3(1(0(0(0(0(z0))))))), 3'(1(0(0(0(0(z0)))))), 1'(0(0(0(0(z0))))), 0'(0(0(0(z0)))), 0'(0(0(z0))), 0'(0(z0)), 0'(z0))
   0'(c_3(c_2(c_0(c_3(c_0(c_0(c_1(c_2(c_1(c_2(c_0(c_1(c_2(c_1(c_3(c_0(c_0(z0)))))))))))))))))) -> c16(0'(2(2(0(3(3(1(0(0(3(0(2(1(1(0(1(2(0(z0)))))))))))))))))), 2'(2(0(3(3(1(0(0(3(0(2(1(1(0(1(2(0(z0))))))))))))))))), 2'(0(3(3(1(0(0(3(0(2(1(1(0(1(2(0(z0)))))))))))))))), 0'(3(3(1(0(0(3(0(2(1(1(0(1(2(0(z0))))))))))))))), 3'(3(1(0(0(3(0(2(1(1(0(1(2(0(z0)))))))))))))), 3'(1(0(0(3(0(2(1(1(0(1(2(0(z0))))))))))))), 1'(0(0(3(0(2(1(1(0(1(2(0(z0)))))))))))), 0'(0(3(0(2(1(1(0(1(2(0(z0))))))))))), 0'(3(0(2(1(1(0(1(2(0(z0)))))))))), 3'(0(2(1(1(0(1(2(0(z0))))))))), 0'(2(1(1(0(1(2(0(z0)))))))), 2'(1(1(0(1(2(0(z0))))))), 1'(1(0(1(2(0(z0)))))), 1'(0(1(2(0(z0))))), 0'(1(2(0(z0)))), 1'(2(0(z0))), 2'(0(z0)), 0'(z0))
   0'(c_2(c_0(c_2(c_1(c_1(c_2(c_1(c_2(c_0(c_0(c_3(c_2(c_2(c_3(c_0(c_0(c_3(z0)))))))))))))))))) -> c17(0'(3(2(2(0(2(2(2(2(0(3(0(1(0(1(1(0(3(z0)))))))))))))))))), 3'(2(2(0(2(2(2(2(0(3(0(1(0(1(1(0(3(z0))))))))))))))))), 2'(2(0(2(2(2(2(0(3(0(1(0(1(1(0(3(z0)))))))))))))))), 2'(0(2(2(2(2(0(3(0(1(0(1(1(0(3(z0))))))))))))))), 0'(2(2(2(2(0(3(0(1(0(1(1(0(3(z0)))))))))))))), 2'(2(2(2(0(3(0(1(0(1(1(0(3(z0))))))))))))), 2'(2(2(0(3(0(1(0(1(1(0(3(z0)))))))))))), 2'(2(0(3(0(1(0(1(1(0(3(z0))))))))))), 2'(0(3(0(1(0(1(1(0(3(z0)))))))))), 0'(3(0(1(0(1(1(0(3(z0))))))))), 3'(0(1(0(1(1(0(3(z0)))))))), 0'(1(0(1(1(0(3(z0))))))), 1'(0(1(1(0(3(z0)))))), 0'(1(1(0(3(z0))))), 1'(1(0(3(z0)))), 1'(0(3(z0))), 0'(3(z0)), 3'(z0))
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   3'(c_0(c_2(c_1(c_3(c_3(c_0(c_1(c_1(c_3(c_0(c_1(c_2(c_3(c_1(c_2(c_1(c_3(z0)))))))))))))))))) -> c85(0'(1(1(2(3(2(3(1(0(2(1(1(1(0(3(3(3(3(z0)))))))))))))))))), 1'(1(2(3(2(3(1(0(2(1(1(1(0(3(3(3(3(z0))))))))))))))))), 1'(2(3(2(3(1(0(2(1(1(1(0(3(3(3(3(z0)))))))))))))))), 2'(3(2(3(1(0(2(1(1(1(0(3(3(3(3(z0))))))))))))))), 3'(2(3(1(0(2(1(1(1(0(3(3(3(3(z0)))))))))))))), 2'(3(1(0(2(1(1(1(0(3(3(3(3(z0))))))))))))), 3'(1(0(2(1(1(1(0(3(3(3(3(z0)))))))))))), 1'(0(2(1(1(1(0(3(3(3(3(z0))))))))))), 0'(2(1(1(1(0(3(3(3(3(z0)))))))))), 2'(1(1(1(0(3(3(3(3(z0))))))))), 1'(1(1(0(3(3(3(3(z0)))))))), 1'(1(0(3(3(3(3(z0))))))), 1'(0(3(3(3(3(z0)))))), 0'(3(3(3(3(z0))))), 3'(3(3(3(z0)))), 3'(3(3(z0))), 3'(3(z0)), 3'(z0))
   3'(c_3(c_2(c_0(c_3(c_2(c_1(c_2(c_2(c_1(c_2(c_0(c_1(c_2(c_3(c_3(c_2(c_0(z0)))))))))))))))))) -> c86(2'(0(3(3(1(2(1(2(1(0(2(3(3(2(3(2(2(0(z0)))))))))))))))))), 0'(3(3(1(2(1(2(1(0(2(3(3(2(3(2(2(0(z0))))))))))))))))), 3'(3(1(2(1(2(1(0(2(3(3(2(3(2(2(0(z0)))))))))))))))), 3'(1(2(1(2(1(0(2(3(3(2(3(2(2(0(z0))))))))))))))), 1'(2(1(2(1(0(2(3(3(2(3(2(2(0(z0)))))))))))))), 2'(1(2(1(0(2(3(3(2(3(2(2(0(z0))))))))))))), 1'(2(1(0(2(3(3(2(3(2(2(0(z0)))))))))))), 2'(1(0(2(3(3(2(3(2(2(0(z0))))))))))), 1'(0(2(3(3(2(3(2(2(0(z0)))))))))), 0'(2(3(3(2(3(2(2(0(z0))))))))), 2'(3(3(2(3(2(2(0(z0)))))))), 3'(3(2(3(2(2(0(z0))))))), 3'(2(3(2(2(0(z0)))))), 2'(3(2(2(0(z0))))), 3'(2(2(0(z0)))), 2'(2(0(z0))), 2'(0(z0)), 0'(z0))
   3'(c_2(c_1(c_3(c_2(c_2(c_3(c_3(c_3(c_2(c_1(c_2(c_0(c_1(c_0(c_1(c_1(c_2(z0)))))))))))))))))) -> c87(2'(3(1(1(0(2(2(0(3(3(3(1(2(3(1(2(1(2(z0)))))))))))))))))), 3'(1(1(0(2(2(0(3(3(3(1(2(3(1(2(1(2(z0))))))))))))))))), 1'(1(0(2(2(0(3(3(3(1(2(3(1(2(1(2(z0)))))))))))))))), 1'(0(2(2(0(3(3(3(1(2(3(1(2(1(2(z0))))))))))))))), 0'(2(2(0(3(3(3(1(2(3(1(2(1(2(z0)))))))))))))), 2'(2(0(3(3(3(1(2(3(1(2(1(2(z0))))))))))))), 2'(0(3(3(3(1(2(3(1(2(1(2(z0)))))))))))), 0'(3(3(3(1(2(3(1(2(1(2(z0))))))))))), 3'(3(3(1(2(3(1(2(1(2(z0)))))))))), 3'(3(1(2(3(1(2(1(2(z0))))))))), 3'(1(2(3(1(2(1(2(z0)))))))), 1'(2(3(1(2(1(2(z0))))))), 2'(3(1(2(1(2(z0)))))), 3'(1(2(1(2(z0))))), 1'(2(1(2(z0)))), 2'(1(2(z0))), 1'(2(z0)), 2'(z0))
   3'(c_0(c_3(c_0(c_1(c_3(c_0(c_2(c_0(c_1(c_1(c_0(c_1(c_0(c_2(c_3(c_0(c_3(z0)))))))))))))))))) -> c88(3'(0(0(2(1(1(0(1(0(3(2(1(0(0(3(3(0(3(z0)))))))))))))))))), 0'(0(2(1(1(0(1(0(3(2(1(0(0(3(3(0(3(z0))))))))))))))))), 0'(2(1(1(0(1(0(3(2(1(0(0(3(3(0(3(z0)))))))))))))))), 2'(1(1(0(1(0(3(2(1(0(0(3(3(0(3(z0))))))))))))))), 1'(1(0(1(0(3(2(1(0(0(3(3(0(3(z0)))))))))))))), 1'(0(1(0(3(2(1(0(0(3(3(0(3(z0))))))))))))), 0'(1(0(3(2(1(0(0(3(3(0(3(z0)))))))))))), 1'(0(3(2(1(0(0(3(3(0(3(z0))))))))))), 0'(3(2(1(0(0(3(3(0(3(z0)))))))))), 3'(2(1(0(0(3(3(0(3(z0))))))))), 2'(1(0(0(3(3(0(3(z0)))))))), 1'(0(0(3(3(0(3(z0))))))), 0'(0(3(3(0(3(z0)))))), 0'(3(3(0(3(z0))))), 3'(3(0(3(z0)))), 3'(0(3(z0))), 0'(3(z0)), 3'(z0))
   3'(c_2(c_0(c_2(c_2(c_0(c_0(c_2(c_3(c_0(c_2(c_3(c_0(c_1(c_2(c_2(c_0(c_2(z0)))))))))))))))))) -> c89(2'(0(3(2(2(2(0(3(2(0(2(1(3(2(0(0(0(2(z0)))))))))))))))))), 0'(3(2(2(2(0(3(2(0(2(1(3(2(0(0(0(2(z0))))))))))))))))), 3'(2(2(2(0(3(2(0(2(1(3(2(0(0(0(2(z0)))))))))))))))), 2'(2(2(0(3(2(0(2(1(3(2(0(0(0(2(z0))))))))))))))), 2'(2(0(3(2(0(2(1(3(2(0(0(0(2(z0)))))))))))))), 2'(0(3(2(0(2(1(3(2(0(0(0(2(z0))))))))))))), 0'(3(2(0(2(1(3(2(0(0(0(2(z0)))))))))))), 3'(2(0(2(1(3(2(0(0(0(2(z0))))))))))), 2'(0(2(1(3(2(0(0(0(2(z0)))))))))), 0'(2(1(3(2(0(0(0(2(z0))))))))), 2'(1(3(2(0(0(0(2(z0)))))))), 1'(3(2(0(0(0(2(z0))))))), 3'(2(0(0(0(2(z0)))))), 2'(0(0(0(2(z0))))), 0'(0(0(2(z0)))), 0'(0(2(z0))), 0'(2(z0)), 2'(z0))
   3'(c_2(c_3(c_2(c_1(c_3(c_0(c_1(c_2(c_1(c_2(c_2(c_1(c_0(c_1(c_1(c_0(c_0(z0)))))))))))))))))) -> c90(3'(2(2(0(1(1(1(1(1(0(0(0(3(2(2(1(3(2(z0)))))))))))))))))), 2'(2(0(1(1(1(1(1(0(0(0(3(2(2(1(3(2(z0))))))))))))))))), 2'(0(1(1(1(1(1(0(0(0(3(2(2(1(3(2(z0)))))))))))))))), 0'(1(1(1(1(1(0(0(0(3(2(2(1(3(2(z0))))))))))))))), 1'(1(1(1(1(0(0(0(3(2(2(1(3(2(z0)))))))))))))), 1'(1(1(1(0(0(0(3(2(2(1(3(2(z0))))))))))))), 1'(1(1(0(0(0(3(2(2(1(3(2(z0)))))))))))), 1'(1(0(0(0(3(2(2(1(3(2(z0))))))))))), 1'(0(0(0(3(2(2(1(3(2(z0)))))))))), 0'(0(0(3(2(2(1(3(2(z0))))))))), 0'(0(3(2(2(1(3(2(z0)))))))), 0'(3(2(2(1(3(2(z0))))))), 3'(2(2(1(3(2(z0)))))), 2'(2(1(3(2(z0))))), 2'(1(3(2(z0)))), 1'(3(2(z0))), 3'(2(z0)), 2'(z0))
   3'(c_2(c_3(c_1(c_1(c_1(c_3(c_2(c_2(c_1(c_2(c_1(c_0(c_0(c_3(c_1(c_3(c_3(z0)))))))))))))))))) -> c91(3'(2(3(2(0(3(1(1(2(3(2(0(1(3(1(1(1(3(z0)))))))))))))))))), 2'(3(2(0(3(1(1(2(3(2(0(1(3(1(1(1(3(z0))))))))))))))))), 3'(2(0(3(1(1(2(3(2(0(1(3(1(1(1(3(z0)))))))))))))))), 2'(0(3(1(1(2(3(2(0(1(3(1(1(1(3(z0))))))))))))))), 0'(3(1(1(2(3(2(0(1(3(1(1(1(3(z0)))))))))))))), 3'(1(1(2(3(2(0(1(3(1(1(1(3(z0))))))))))))), 1'(1(2(3(2(0(1(3(1(1(1(3(z0)))))))))))), 1'(2(3(2(0(1(3(1(1(1(3(z0))))))))))), 2'(3(2(0(1(3(1(1(1(3(z0)))))))))), 3'(2(0(1(3(1(1(1(3(z0))))))))), 2'(0(1(3(1(1(1(3(z0)))))))), 0'(1(3(1(1(1(3(z0))))))), 1'(3(1(1(1(3(z0)))))), 3'(1(1(1(3(z0))))), 1'(1(1(3(z0)))), 1'(1(3(z0))), 1'(3(z0)), 3'(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_3(c_0(c_0(c_2(c_1(c_0(c_0(c_2(c_1(c_2(c_2(c_3(c_2(c_0(c_0(c_2(c_0(z0)))))))))))))))))) -> c9(0'(2(0(0(0(2(0(3(0(2(2(0(1(1(3(2(2(0(z0)))))))))))))))))), 2'(0(0(0(2(0(3(0(2(2(0(1(1(3(2(2(0(z0))))))))))))))))), 0'(0(0(2(0(3(0(2(2(0(1(1(3(2(2(0(z0)))))))))))))))), 0'(0(2(0(3(0(2(2(0(1(1(3(2(2(0(z0))))))))))))))), 0'(2(0(3(0(2(2(0(1(1(3(2(2(0(z0)))))))))))))), 2'(0(3(0(2(2(0(1(1(3(2(2(0(z0))))))))))))), 0'(3(0(2(2(0(1(1(3(2(2(0(z0)))))))))))), 3'(0(2(2(0(1(1(3(2(2(0(z0))))))))))), 0'(2(2(0(1(1(3(2(2(0(z0)))))))))), 2'(2(0(1(1(3(2(2(0(z0))))))))), 2'(0(1(1(3(2(2(0(z0)))))))), 0'(1(1(3(2(2(0(z0))))))), 1'(1(3(2(2(0(z0)))))), 1'(3(2(2(0(z0))))), 3'(2(2(0(z0)))), 2'(2(0(z0))), 2'(0(z0)), 0'(z0))
   0'(c_0(c_3(c_3(c_0(c_2(c_3(c_0(c_3(c_0(c_2(c_1(c_0(c_0(c_0(c_3(c_3(c_0(z0)))))))))))))))))) -> c10(0'(0(3(1(0(3(0(0(3(3(0(3(3(0(0(2(0(2(z0)))))))))))))))))), 0'(3(1(0(3(0(0(3(3(0(3(3(0(0(2(0(2(z0))))))))))))))))), 3'(1(0(3(0(0(3(3(0(3(3(0(0(2(0(2(z0)))))))))))))))), 1'(0(3(0(0(3(3(0(3(3(0(0(2(0(2(z0))))))))))))))), 0'(3(0(0(3(3(0(3(3(0(0(2(0(2(z0)))))))))))))), 3'(0(0(3(3(0(3(3(0(0(2(0(2(z0))))))))))))), 0'(0(3(3(0(3(3(0(0(2(0(2(z0)))))))))))), 0'(3(3(0(3(3(0(0(2(0(2(z0))))))))))), 3'(3(0(3(3(0(0(2(0(2(z0)))))))))), 3'(0(3(3(0(0(2(0(2(z0))))))))), 0'(3(3(0(0(2(0(2(z0)))))))), 3'(3(0(0(2(0(2(z0))))))), 3'(0(0(2(0(2(z0)))))), 0'(0(2(0(2(z0))))), 0'(2(0(2(z0)))), 2'(0(2(z0))), 0'(2(z0)), 2'(z0))
   0'(c_0(c_1(c_1(c_2(c_1(c_3(c_1(c_3(c_1(c_1(c_1(c_2(c_2(c_1(c_0(c_2(c_2(z0)))))))))))))))))) -> c11(2'(1(1(1(1(0(3(1(1(1(2(0(3(1(0(2(2(2(z0)))))))))))))))))), 1'(1(1(1(0(3(1(1(1(2(0(3(1(0(2(2(2(z0))))))))))))))))), 1'(1(1(0(3(1(1(1(2(0(3(1(0(2(2(2(z0)))))))))))))))), 1'(1(0(3(1(1(1(2(0(3(1(0(2(2(2(z0))))))))))))))), 1'(0(3(1(1(1(2(0(3(1(0(2(2(2(z0)))))))))))))), 0'(3(1(1(1(2(0(3(1(0(2(2(2(z0))))))))))))), 3'(1(1(1(2(0(3(1(0(2(2(2(z0)))))))))))), 1'(1(1(2(0(3(1(0(2(2(2(z0))))))))))), 1'(1(2(0(3(1(0(2(2(2(z0)))))))))), 1'(2(0(3(1(0(2(2(2(z0))))))))), 2'(0(3(1(0(2(2(2(z0)))))))), 0'(3(1(0(2(2(2(z0))))))), 3'(1(0(2(2(2(z0)))))), 1'(0(2(2(2(z0))))), 0'(2(2(2(z0)))), 2'(2(2(z0))), 2'(2(z0)), 2'(z0))
   0'(c_3(c_3(c_0(c_0(c_0(c_1(c_3(c_2(c_2(c_3(c_2(c_1(c_3(c_0(c_0(c_2(c_1(z0)))))))))))))))))) -> c12(0'(2(2(0(0(3(0(2(3(1(0(3(1(0(3(2(3(1(z0)))))))))))))))))), 2'(2(0(0(3(0(2(3(1(0(3(1(0(3(2(3(1(z0))))))))))))))))), 2'(0(0(3(0(2(3(1(0(3(1(0(3(2(3(1(z0)))))))))))))))), 0'(0(3(0(2(3(1(0(3(1(0(3(2(3(1(z0))))))))))))))), 0'(3(0(2(3(1(0(3(1(0(3(2(3(1(z0)))))))))))))), 3'(0(2(3(1(0(3(1(0(3(2(3(1(z0))))))))))))), 0'(2(3(1(0(3(1(0(3(2(3(1(z0)))))))))))), 2'(3(1(0(3(1(0(3(2(3(1(z0))))))))))), 3'(1(0(3(1(0(3(2(3(1(z0)))))))))), 1'(0(3(1(0(3(2(3(1(z0))))))))), 0'(3(1(0(3(2(3(1(z0)))))))), 3'(1(0(3(2(3(1(z0))))))), 1'(0(3(2(3(1(z0)))))), 0'(3(2(3(1(z0))))), 3'(2(3(1(z0)))), 2'(3(1(z0))), 3'(1(z0)), 1'(z0))
   0'(c_0(c_0(c_0(c_1(c_1(c_3(c_2(c_3(c_3(c_0(c_1(c_1(c_2(c_0(c_1(c_3(c_1(z0)))))))))))))))))) -> c13(0'(0(0(1(1(1(0(1(3(3(1(0(3(2(0(2(3(1(z0)))))))))))))))))), 0'(0(1(1(1(0(1(3(3(1(0(3(2(0(2(3(1(z0))))))))))))))))), 0'(1(1(1(0(1(3(3(1(0(3(2(0(2(3(1(z0)))))))))))))))), 1'(1(1(0(1(3(3(1(0(3(2(0(2(3(1(z0))))))))))))))), 1'(1(0(1(3(3(1(0(3(2(0(2(3(1(z0)))))))))))))), 1'(0(1(3(3(1(0(3(2(0(2(3(1(z0))))))))))))), 0'(1(3(3(1(0(3(2(0(2(3(1(z0)))))))))))), 1'(3(3(1(0(3(2(0(2(3(1(z0))))))))))), 3'(3(1(0(3(2(0(2(3(1(z0)))))))))), 3'(1(0(3(2(0(2(3(1(z0))))))))), 1'(0(3(2(0(2(3(1(z0)))))))), 0'(3(2(0(2(3(1(z0))))))), 3'(2(0(2(3(1(z0)))))), 2'(0(2(3(1(z0))))), 0'(2(3(1(z0)))), 2'(3(1(z0))), 3'(1(z0)), 1'(z0))
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   3'(c_1(c_2(c_0(c_3(c_0(c_1(c_2(c_0(c_3(c_3(c_2(c_3(c_2(c_2(c_1(c_2(c_3(z0)))))))))))))))))) -> c82(3'(1(3(2(1(1(3(2(0(0(0(3(2(2(2(3(2(3(z0)))))))))))))))))), 1'(3(2(1(1(3(2(0(0(0(3(2(2(2(3(2(3(z0))))))))))))))))), 3'(2(1(1(3(2(0(0(0(3(2(2(2(3(2(3(z0)))))))))))))))), 2'(1(1(3(2(0(0(0(3(2(2(2(3(2(3(z0))))))))))))))), 1'(1(3(2(0(0(0(3(2(2(2(3(2(3(z0)))))))))))))), 1'(3(2(0(0(0(3(2(2(2(3(2(3(z0))))))))))))), 3'(2(0(0(0(3(2(2(2(3(2(3(z0)))))))))))), 2'(0(0(0(3(2(2(2(3(2(3(z0))))))))))), 0'(0(0(3(2(2(2(3(2(3(z0)))))))))), 0'(0(3(2(2(2(3(2(3(z0))))))))), 0'(3(2(2(2(3(2(3(z0)))))))), 3'(2(2(2(3(2(3(z0))))))), 2'(2(2(3(2(3(z0)))))), 2'(2(3(2(3(z0))))), 2'(3(2(3(z0)))), 3'(2(3(z0))), 2'(3(z0)), 3'(z0))
   3'(c_3(c_2(c_1(c_1(c_1(c_1(c_3(c_0(c_0(c_3(c_1(c_2(c_0(c_2(c_2(c_3(c_0(z0)))))))))))))))))) -> c83(3'(3(1(1(0(1(0(2(0(1(1(2(3(3(2(2(3(0(z0)))))))))))))))))), 3'(1(1(0(1(0(2(0(1(1(2(3(3(2(2(3(0(z0))))))))))))))))), 1'(1(0(1(0(2(0(1(1(2(3(3(2(2(3(0(z0)))))))))))))))), 1'(0(1(0(2(0(1(1(2(3(3(2(2(3(0(z0))))))))))))))), 0'(1(0(2(0(1(1(2(3(3(2(2(3(0(z0)))))))))))))), 1'(0(2(0(1(1(2(3(3(2(2(3(0(z0))))))))))))), 0'(2(0(1(1(2(3(3(2(2(3(0(z0)))))))))))), 2'(0(1(1(2(3(3(2(2(3(0(z0))))))))))), 0'(1(1(2(3(3(2(2(3(0(z0)))))))))), 1'(1(2(3(3(2(2(3(0(z0))))))))), 1'(2(3(3(2(2(3(0(z0)))))))), 2'(3(3(2(2(3(0(z0))))))), 3'(3(2(2(3(0(z0)))))), 3'(2(2(3(0(z0))))), 2'(2(3(0(z0)))), 2'(3(0(z0))), 3'(0(z0)), 0'(z0))
   3'(c_0(c_1(c_3(c_2(c_3(c_3(c_2(c_0(c_1(c_1(c_2(c_0(c_1(c_3(c_1(c_3(c_2(z0)))))))))))))))))) -> c84(3'(2(3(3(0(3(1(1(0(2(2(3(1(2(1(1(0(3(z0)))))))))))))))))), 2'(3(3(0(3(1(1(0(2(2(3(1(2(1(1(0(3(z0))))))))))))))))), 3'(3(0(3(1(1(0(2(2(3(1(2(1(1(0(3(z0)))))))))))))))), 3'(0(3(1(1(0(2(2(3(1(2(1(1(0(3(z0))))))))))))))), 0'(3(1(1(0(2(2(3(1(2(1(1(0(3(z0)))))))))))))), 3'(1(1(0(2(2(3(1(2(1(1(0(3(z0))))))))))))), 1'(1(0(2(2(3(1(2(1(1(0(3(z0)))))))))))), 1'(0(2(2(3(1(2(1(1(0(3(z0))))))))))), 0'(2(2(3(1(2(1(1(0(3(z0)))))))))), 2'(2(3(1(2(1(1(0(3(z0))))))))), 2'(3(1(2(1(1(0(3(z0)))))))), 3'(1(2(1(1(0(3(z0))))))), 1'(2(1(1(0(3(z0)))))), 2'(1(1(0(3(z0))))), 1'(1(0(3(z0)))), 1'(0(3(z0))), 0'(3(z0)), 3'(z0))
   3'(c_0(c_2(c_1(c_3(c_3(c_0(c_1(c_1(c_3(c_0(c_1(c_2(c_3(c_1(c_2(c_1(c_3(z0)))))))))))))))))) -> c85(0'(1(1(2(3(2(3(1(0(2(1(1(1(0(3(3(3(3(z0)))))))))))))))))), 1'(1(2(3(2(3(1(0(2(1(1(1(0(3(3(3(3(z0))))))))))))))))), 1'(2(3(2(3(1(0(2(1(1(1(0(3(3(3(3(z0)))))))))))))))), 2'(3(2(3(1(0(2(1(1(1(0(3(3(3(3(z0))))))))))))))), 3'(2(3(1(0(2(1(1(1(0(3(3(3(3(z0)))))))))))))), 2'(3(1(0(2(1(1(1(0(3(3(3(3(z0))))))))))))), 3'(1(0(2(1(1(1(0(3(3(3(3(z0)))))))))))), 1'(0(2(1(1(1(0(3(3(3(3(z0))))))))))), 0'(2(1(1(1(0(3(3(3(3(z0)))))))))), 2'(1(1(1(0(3(3(3(3(z0))))))))), 1'(1(1(0(3(3(3(3(z0)))))))), 1'(1(0(3(3(3(3(z0))))))), 1'(0(3(3(3(3(z0)))))), 0'(3(3(3(3(z0))))), 3'(3(3(3(z0)))), 3'(3(3(z0))), 3'(3(z0)), 3'(z0))
   3'(c_3(c_2(c_0(c_3(c_2(c_1(c_2(c_2(c_1(c_2(c_0(c_1(c_2(c_3(c_3(c_2(c_0(z0)))))))))))))))))) -> c86(2'(0(3(3(1(2(1(2(1(0(2(3(3(2(3(2(2(0(z0)))))))))))))))))), 0'(3(3(1(2(1(2(1(0(2(3(3(2(3(2(2(0(z0))))))))))))))))), 3'(3(1(2(1(2(1(0(2(3(3(2(3(2(2(0(z0)))))))))))))))), 3'(1(2(1(2(1(0(2(3(3(2(3(2(2(0(z0))))))))))))))), 1'(2(1(2(1(0(2(3(3(2(3(2(2(0(z0)))))))))))))), 2'(1(2(1(0(2(3(3(2(3(2(2(0(z0))))))))))))), 1'(2(1(0(2(3(3(2(3(2(2(0(z0)))))))))))), 2'(1(0(2(3(3(2(3(2(2(0(z0))))))))))), 1'(0(2(3(3(2(3(2(2(0(z0)))))))))), 0'(2(3(3(2(3(2(2(0(z0))))))))), 2'(3(3(2(3(2(2(0(z0)))))))), 3'(3(2(3(2(2(0(z0))))))), 3'(2(3(2(2(0(z0)))))), 2'(3(2(2(0(z0))))), 3'(2(2(0(z0)))), 2'(2(0(z0))), 2'(0(z0)), 0'(z0))
   3'(c_2(c_1(c_3(c_2(c_2(c_3(c_3(c_3(c_2(c_1(c_2(c_0(c_1(c_0(c_1(c_1(c_2(z0)))))))))))))))))) -> c87(2'(3(1(1(0(2(2(0(3(3(3(1(2(3(1(2(1(2(z0)))))))))))))))))), 3'(1(1(0(2(2(0(3(3(3(1(2(3(1(2(1(2(z0))))))))))))))))), 1'(1(0(2(2(0(3(3(3(1(2(3(1(2(1(2(z0)))))))))))))))), 1'(0(2(2(0(3(3(3(1(2(3(1(2(1(2(z0))))))))))))))), 0'(2(2(0(3(3(3(1(2(3(1(2(1(2(z0)))))))))))))), 2'(2(0(3(3(3(1(2(3(1(2(1(2(z0))))))))))))), 2'(0(3(3(3(1(2(3(1(2(1(2(z0)))))))))))), 0'(3(3(3(1(2(3(1(2(1(2(z0))))))))))), 3'(3(3(1(2(3(1(2(1(2(z0)))))))))), 3'(3(1(2(3(1(2(1(2(z0))))))))), 3'(1(2(3(1(2(1(2(z0)))))))), 1'(2(3(1(2(1(2(z0))))))), 2'(3(1(2(1(2(z0)))))), 3'(1(2(1(2(z0))))), 1'(2(1(2(z0)))), 2'(1(2(z0))), 1'(2(z0)), 2'(z0))
   3'(c_0(c_3(c_0(c_1(c_3(c_0(c_2(c_0(c_1(c_1(c_0(c_1(c_0(c_2(c_3(c_0(c_3(z0)))))))))))))))))) -> c88(3'(0(0(2(1(1(0(1(0(3(2(1(0(0(3(3(0(3(z0)))))))))))))))))), 0'(0(2(1(1(0(1(0(3(2(1(0(0(3(3(0(3(z0))))))))))))))))), 0'(2(1(1(0(1(0(3(2(1(0(0(3(3(0(3(z0)))))))))))))))), 2'(1(1(0(1(0(3(2(1(0(0(3(3(0(3(z0))))))))))))))), 1'(1(0(1(0(3(2(1(0(0(3(3(0(3(z0)))))))))))))), 1'(0(1(0(3(2(1(0(0(3(3(0(3(z0))))))))))))), 0'(1(0(3(2(1(0(0(3(3(0(3(z0)))))))))))), 1'(0(3(2(1(0(0(3(3(0(3(z0))))))))))), 0'(3(2(1(0(0(3(3(0(3(z0)))))))))), 3'(2(1(0(0(3(3(0(3(z0))))))))), 2'(1(0(0(3(3(0(3(z0)))))))), 1'(0(0(3(3(0(3(z0))))))), 0'(0(3(3(0(3(z0)))))), 0'(3(3(0(3(z0))))), 3'(3(0(3(z0)))), 3'(0(3(z0))), 0'(3(z0)), 3'(z0))
   3'(c_2(c_0(c_2(c_2(c_0(c_0(c_2(c_3(c_0(c_2(c_3(c_0(c_1(c_2(c_2(c_0(c_2(z0)))))))))))))))))) -> c89(2'(0(3(2(2(2(0(3(2(0(2(1(3(2(0(0(0(2(z0)))))))))))))))))), 0'(3(2(2(2(0(3(2(0(2(1(3(2(0(0(0(2(z0))))))))))))))))), 3'(2(2(2(0(3(2(0(2(1(3(2(0(0(0(2(z0)))))))))))))))), 2'(2(2(0(3(2(0(2(1(3(2(0(0(0(2(z0))))))))))))))), 2'(2(0(3(2(0(2(1(3(2(0(0(0(2(z0)))))))))))))), 2'(0(3(2(0(2(1(3(2(0(0(0(2(z0))))))))))))), 0'(3(2(0(2(1(3(2(0(0(0(2(z0)))))))))))), 3'(2(0(2(1(3(2(0(0(0(2(z0))))))))))), 2'(0(2(1(3(2(0(0(0(2(z0)))))))))), 0'(2(1(3(2(0(0(0(2(z0))))))))), 2'(1(3(2(0(0(0(2(z0)))))))), 1'(3(2(0(0(0(2(z0))))))), 3'(2(0(0(0(2(z0)))))), 2'(0(0(0(2(z0))))), 0'(0(0(2(z0)))), 0'(0(2(z0))), 0'(2(z0)), 2'(z0))
   3'(c_2(c_3(c_2(c_1(c_3(c_0(c_1(c_2(c_1(c_2(c_2(c_1(c_0(c_1(c_1(c_0(c_0(z0)))))))))))))))))) -> c90(3'(2(2(0(1(1(1(1(1(0(0(0(3(2(2(1(3(2(z0)))))))))))))))))), 2'(2(0(1(1(1(1(1(0(0(0(3(2(2(1(3(2(z0))))))))))))))))), 2'(0(1(1(1(1(1(0(0(0(3(2(2(1(3(2(z0)))))))))))))))), 0'(1(1(1(1(1(0(0(0(3(2(2(1(3(2(z0))))))))))))))), 1'(1(1(1(1(0(0(0(3(2(2(1(3(2(z0)))))))))))))), 1'(1(1(1(0(0(0(3(2(2(1(3(2(z0))))))))))))), 1'(1(1(0(0(0(3(2(2(1(3(2(z0)))))))))))), 1'(1(0(0(0(3(2(2(1(3(2(z0))))))))))), 1'(0(0(0(3(2(2(1(3(2(z0)))))))))), 0'(0(0(3(2(2(1(3(2(z0))))))))), 0'(0(3(2(2(1(3(2(z0)))))))), 0'(3(2(2(1(3(2(z0))))))), 3'(2(2(1(3(2(z0)))))), 2'(2(1(3(2(z0))))), 2'(1(3(2(z0)))), 1'(3(2(z0))), 3'(2(z0)), 2'(z0))
   3'(c_2(c_3(c_1(c_1(c_1(c_3(c_2(c_2(c_1(c_2(c_1(c_0(c_0(c_3(c_1(c_3(c_3(z0)))))))))))))))))) -> c91(3'(2(3(2(0(3(1(1(2(3(2(0(1(3(1(1(1(3(z0)))))))))))))))))), 2'(3(2(0(3(1(1(2(3(2(0(1(3(1(1(1(3(z0))))))))))))))))), 3'(2(0(3(1(1(2(3(2(0(1(3(1(1(1(3(z0)))))))))))))))), 2'(0(3(1(1(2(3(2(0(1(3(1(1(1(3(z0))))))))))))))), 0'(3(1(1(2(3(2(0(1(3(1(1(1(3(z0)))))))))))))), 3'(1(1(2(3(2(0(1(3(1(1(1(3(z0))))))))))))), 1'(1(2(3(2(0(1(3(1(1(1(3(z0)))))))))))), 1'(2(3(2(0(1(3(1(1(1(3(z0))))))))))), 2'(3(2(0(1(3(1(1(1(3(z0)))))))))), 3'(2(0(1(3(1(1(1(3(z0))))))))), 2'(0(1(3(1(1(1(3(z0)))))))), 0'(1(3(1(1(1(3(z0))))))), 1'(3(1(1(1(3(z0)))))), 3'(1(1(1(3(z0))))), 1'(1(1(3(z0)))), 1'(1(3(z0))), 1'(3(z0)), 3'(z0))
K tuples:none
Defined Rule Symbols:   0_1, 2_1, 3_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, c21_18, c22_18, c23_18, c24_18, c25_18, c26_18, c27_18, c28_18, c29_18, c30_18, c31_18, c32_18, c33_18, c34_18, 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_18, c57_18, c58_18, c60_18, c61_18, c62_18, c63_18, c64_18, c65_18, c66_18, c67_18, c68_18, c69_18, c70_18, c71_18, c72_18, c73_18, c74_18, c75_18, c76_18, c77_18, c78_18, c79_18, c80_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_3(c_0(c_0(c_2(c_1(c_0(c_0(c_2(c_1(c_2(c_2(c_3(c_2(c_0(c_0(c_2(c_0(z0)))))))))))))))))) -> 0(2(0(0(0(2(0(3(0(2(2(0(1(1(3(2(2(0(z0))))))))))))))))))
   0(c_0(c_3(c_3(c_0(c_2(c_3(c_0(c_3(c_0(c_2(c_1(c_0(c_0(c_0(c_3(c_3(c_0(z0)))))))))))))))))) -> 0(0(3(1(0(3(0(0(3(3(0(3(3(0(0(2(0(2(z0))))))))))))))))))
   0(c_0(c_1(c_1(c_2(c_1(c_3(c_1(c_3(c_1(c_1(c_1(c_2(c_2(c_1(c_0(c_2(c_2(z0)))))))))))))))))) -> 2(1(1(1(1(0(3(1(1(1(2(0(3(1(0(2(2(2(z0))))))))))))))))))
   0(c_3(c_3(c_0(c_0(c_0(c_1(c_3(c_2(c_2(c_3(c_2(c_1(c_3(c_0(c_0(c_2(c_1(z0)))))))))))))))))) -> 0(2(2(0(0(3(0(2(3(1(0(3(1(0(3(2(3(1(z0))))))))))))))))))
   0(c_0(c_0(c_0(c_1(c_1(c_3(c_2(c_3(c_3(c_0(c_1(c_1(c_2(c_0(c_1(c_3(c_1(z0)))))))))))))))))) -> 0(0(0(1(1(1(0(1(3(3(1(0(3(2(0(2(3(1(z0))))))))))))))))))
   0(c_2(c_1(c_2(c_1(c_1(c_2(c_3(c_2(c_1(c_0(c_0(c_1(c_0(c_0(c_3(c_0(c_3(z0)))))))))))))))))) -> 0(3(2(0(0(1(2(1(0(2(1(1(3(1(0(0(2(3(z0))))))))))))))))))
   0(c_0(c_0(c_2(c_3(c_0(c_0(c_0(c_0(c_0(c_0(c_1(c_1(c_0(c_3(c_0(c_0(c_0(z0)))))))))))))))))) -> 0(0(3(1(0(0(0(0(2(0(0(0(3(1(0(0(0(0(z0))))))))))))))))))
   0(c_3(c_2(c_0(c_3(c_0(c_0(c_1(c_2(c_1(c_2(c_0(c_1(c_2(c_1(c_3(c_0(c_0(z0)))))))))))))))))) -> 0(2(2(0(3(3(1(0(0(3(0(2(1(1(0(1(2(0(z0))))))))))))))))))
   0(c_2(c_0(c_2(c_1(c_1(c_2(c_1(c_2(c_0(c_0(c_3(c_2(c_2(c_3(c_0(c_0(c_3(z0)))))))))))))))))) -> 0(3(2(2(0(2(2(2(2(0(3(0(1(0(1(1(0(3(z0))))))))))))))))))
   0(c_2(c_3(c_1(c_2(c_3(c_2(c_1(c_0(c_1(c_0(c_0(c_3(c_1(c_3(c_1(c_2(c_3(z0)))))))))))))))))) -> 0(2(3(3(1(2(1(1(1(0(2(3(1(0(2(0(3(3(z0))))))))))))))))))
   0(c_2(c_0(c_1(c_3(c_0(c_0(c_1(c_3(c_0(c_2(c_0(c_1(c_3(c_1(c_1(c_3(c_1(z0)))))))))))))))))) -> 0(2(0(1(3(1(1(2(1(0(0(3(3(0(0(1(3(1(z0))))))))))))))))))
   1(z0) -> c_1(z0)
   1(c_0(c_0(c_1(c_0(c_0(c_3(c_3(c_0(c_0(c_2(c_1(c_2(c_1(c_3(c_3(c_1(c_3(z0)))))))))))))))))) -> 1(0(3(0(0(3(3(0(0(2(1(0(3(1(2(3(1(1(z0))))))))))))))))))
   1(c_3(c_3(c_0(c_3(c_2(c_1(c_1(c_1(c_0(c_1(c_3(c_2(c_3(c_1(c_1(c_2(c_1(z0)))))))))))))))))) -> 1(3(1(3(0(1(1(3(2(3(2(2(0(3(1(1(1(1(z0))))))))))))))))))
   1(c_2(c_3(c_1(c_3(c_0(c_1(c_2(c_2(c_0(c_2(c_0(c_1(c_1(c_1(c_1(c_0(c_1(z0)))))))))))))))))) -> 1(2(2(0(1(1(1(1(0(0(3(2(1(0(2(3(1(1(z0))))))))))))))))))
   1(c_0(c_3(c_1(c_2(c_0(c_3(c_3(c_2(c_1(c_2(c_0(c_0(c_1(c_0(c_2(c_1(c_3(z0)))))))))))))))))) -> 1(0(3(3(1(0(2(0(3(1(0(3(2(1(2(2(1(0(z0))))))))))))))))))
   1(c_1(c_3(c_2(c_1(c_0(c_0(c_3(c_3(c_1(c_1(c_3(c_2(c_0(c_1(c_2(c_1(c_1(z0)))))))))))))))))) -> 1(1(2(3(3(0(0(3(3(1(1(1(1(1(0(2(2(1(z0))))))))))))))))))
   1(c_1(c_2(c_0(c_3(c_0(c_2(c_1(c_3(c_3(c_0(c_3(c_3(c_3(c_3(c_3(c_1(c_2(z0)))))))))))))))))) -> 1(0(3(3(0(3(3(1(0(2(3(1(1(3(2(3(2(3(z0))))))))))))))))))
   1(c_3(c_0(c_3(c_0(c_1(c_3(c_1(c_2(c_1(c_0(c_2(c_1(c_1(c_3(c_0(c_1(c_1(z0)))))))))))))))))) -> 1(0(1(0(3(1(3(1(0(1(1(3(2(3(0(2(1(1(z0))))))))))))))))))
   1(c_3(c_3(c_3(c_1(c_2(c_0(c_1(c_2(c_0(c_0(c_2(c_1(c_3(c_3(c_3(c_0(c_2(z0)))))))))))))))))) -> 1(3(1(1(0(3(3(0(2(0(1(3(0(3(2(3(2(2(z0))))))))))))))))))
   1(c_1(c_2(c_1(c_0(c_0(c_3(c_0(c_3(c_1(c_3(c_0(c_1(c_3(c_1(c_3(c_3(c_3(z0)))))))))))))))))) -> 3(0(1(1(1(1(3(0(3(1(1(0(3(0(2(3(3(3(z0))))))))))))))))))
   1(c_3(c_0(c_1(c_3(c_1(c_2(c_1(c_2(c_1(c_2(c_2(c_2(c_1(c_3(c_0(c_1(c_3(z0)))))))))))))))))) -> 2(3(2(1(1(2(2(1(3(1(0(2(1(1(1(0(3(3(z0))))))))))))))))))
   1(c_2(c_2(c_3(c_3(c_2(c_0(c_1(c_3(c_1(c_2(c_0(c_3(c_0(c_3(c_2(c_0(c_2(z0)))))))))))))))))) -> 2(3(1(0(3(1(0(2(3(3(2(2(0(0(3(1(2(2(z0))))))))))))))))))
   1(c_3(c_2(c_1(c_0(c_1(c_2(c_1(c_3(c_1(c_1(c_3(c_3(c_3(c_0(c_2(c_1(c_3(z0)))))))))))))))))) -> 1(0(3(1(1(2(2(3(2(3(1(1(3(1(1(0(3(3(z0))))))))))))))))))
   1(c_3(c_3(c_1(c_3(c_2(c_2(c_2(c_2(c_2(c_0(c_1(c_2(c_2(c_0(c_3(c_0(c_3(z0)))))))))))))))))) -> 1(3(2(0(1(0(2(2(2(2(2(1(0(3(3(3(2(3(z0))))))))))))))))))
   1(c_1(c_2(c_0(c_3(c_0(c_1(c_3(c_0(c_2(c_3(c_3(c_3(c_2(c_2(c_3(c_0(c_3(z0)))))))))))))))))) -> 3(3(0(3(1(0(3(2(3(2(2(0(3(2(1(1(0(3(z0))))))))))))))))))
   2(z0) -> c_2(z0)
   2(c_1(c_0(c_1(c_1(c_2(c_2(c_3(c_3(c_2(c_1(c_2(c_1(c_2(c_2(c_3(c_0(c_2(z0)))))))))))))))))) -> 2(3(2(1(1(0(1(2(2(2(0(3(2(2(1(1(3(2(z0))))))))))))))))))
   2(c_0(c_3(c_2(c_0(c_3(c_1(c_0(c_0(c_0(c_1(c_3(c_0(c_0(c_3(c_0(c_2(c_2(z0)))))))))))))))))) -> 2(3(0(0(0(0(0(0(0(2(3(1(3(1(0(3(2(2(z0))))))))))))))))))
   2(c_1(c_1(c_1(c_0(c_1(c_0(c_0(c_3(c_3(c_0(c_3(c_2(c_0(c_1(c_2(c_1(c_3(z0)))))))))))))))))) -> 2(2(3(0(3(1(0(0(3(0(1(1(1(1(2(1(0(3(z0))))))))))))))))))
   2(c_2(c_1(c_3(c_0(c_1(c_3(c_0(c_1(c_2(c_0(c_2(c_2(c_1(c_3(c_2(c_2(c_2(z0)))))))))))))))))) -> 1(1(2(2(3(3(3(2(2(0(2(0(1(0(2(2(1(2(z0))))))))))))))))))
   2(c_1(c_0(c_0(c_3(c_0(c_0(c_0(c_1(c_3(c_0(c_1(c_3(c_0(c_1(c_3(c_2(c_1(z0)))))))))))))))))) -> 3(0(0(0(1(1(2(3(3(0(0(3(0(1(0(2(1(1(z0))))))))))))))))))
   2(c_2(c_1(c_2(c_3(c_2(c_1(c_1(c_1(c_0(c_0(c_3(c_3(c_1(c_2(c_2(c_1(c_3(z0)))))))))))))))))) -> 2(2(1(1(1(2(1(2(3(2(3(1(3(1(0(2(0(3(z0))))))))))))))))))
   2(c_1(c_1(c_3(c_0(c_2(c_1(c_3(c_2(c_2(c_3(c_3(c_3(c_1(c_3(c_2(c_3(c_3(z0)))))))))))))))))) -> 2(2(3(3(1(2(1(0(1(1(3(3(2(3(3(2(3(3(z0))))))))))))))))))
   2(c_1(c_3(c_0(c_3(c_0(c_1(c_0(c_1(c_3(c_3(c_0(c_1(c_3(c_3(c_0(c_2(c_3(z0)))))))))))))))))) -> 2(3(3(0(3(3(0(0(3(2(3(1(1(1(0(3(1(0(z0))))))))))))))))))
   2(c_2(c_1(c_2(c_2(c_2(c_2(c_2(c_1(c_3(c_2(c_1(c_3(c_0(c_3(c_3(c_1(c_2(z0)))))))))))))))))) -> 2(2(0(2(2(2(3(1(2(1(3(2(3(1(1(2(3(2(z0))))))))))))))))))
   2(c_2(c_1(c_0(c_1(c_3(c_2(c_2(c_0(c_2(c_2(c_2(c_2(c_0(c_2(c_2(c_1(c_2(z0)))))))))))))))))) -> 2(3(2(2(2(1(2(2(2(0(1(0(2(2(0(2(1(2(z0))))))))))))))))))
   2(c_2(c_3(c_0(c_2(c_3(c_1(c_2(c_0(c_2(c_2(c_1(c_3(c_0(c_0(c_1(c_3(c_2(z0)))))))))))))))))) -> 3(0(2(1(3(2(2(1(1(2(0(3(0(0(2(2(3(2(z0))))))))))))))))))
   2(c_2(c_3(c_1(c_1(c_2(c_0(c_2(c_0(c_3(c_0(c_0(c_2(c_1(c_0(c_1(c_3(c_2(z0)))))))))))))))))) -> 2(2(3(2(2(0(3(0(3(1(0(1(1(1(2(2(0(0(z0))))))))))))))))))
   2(c_2(c_3(c_1(c_3(c_1(c_3(c_0(c_2(c_1(c_3(c_1(c_2(c_3(c_1(c_3(c_3(c_1(z0)))))))))))))))))) -> 2(3(3(1(3(1(3(3(2(3(1(1(2(3(2(1(0(1(z0))))))))))))))))))
   2(c_1(c_0(c_2(c_0(c_1(c_0(c_3(c_2(c_1(c_3(c_1(c_1(c_3(c_2(c_2(c_1(c_0(z0)))))))))))))))))) -> 2(3(1(2(3(2(2(1(2(0(0(1(0(3(1(1(1(0(z0))))))))))))))))))
   2(c_1(c_2(c_2(c_1(c_0(c_1(c_3(c_0(c_1(c_1(c_0(c_0(c_3(c_3(c_2(c_2(c_3(z0)))))))))))))))))) -> 2(0(3(1(0(1(3(1(3(2(2(2(2(0(1(1(0(3(z0))))))))))))))))))
   2(c_2(c_1(c_2(c_0(c_1(c_3(c_0(c_1(c_1(c_1(c_1(c_2(c_2(c_0(c_0(c_2(c_2(z0)))))))))))))))))) -> 2(0(0(1(1(0(2(2(3(1(2(2(1(2(1(1(0(2(z0))))))))))))))))))
   2(c_2(c_1(c_2(c_2(c_2(c_3(c_2(c_0(c_3(c_3(c_0(c_1(c_2(c_0(c_2(c_3(c_3(z0)))))))))))))))))) -> 2(3(1(3(1(0(2(2(3(0(2(2(2(3(2(2(0(3(z0))))))))))))))))))
   2(c_2(c_3(c_1(c_0(c_3(c_0(c_2(c_1(c_3(c_2(c_2(c_2(c_3(c_3(c_3(c_1(c_2(z0)))))))))))))))))) -> 1(1(0(3(2(2(3(2(2(1(0(2(3(3(2(3(3(2(z0))))))))))))))))))
   2(c_3(c_3(c_1(c_3(c_1(c_0(c_0(c_1(c_1(c_3(c_3(c_3(c_1(c_2(c_2(c_1(c_3(z0)))))))))))))))))) -> 2(2(1(3(3(1(1(0(3(1(1(1(3(3(2(3(0(3(z0))))))))))))))))))
   2(c_0(c_1(c_2(c_0(c_0(c_0(c_2(c_2(c_1(c_3(c_2(c_1(c_0(c_1(c_0(c_2(c_0(z0)))))))))))))))))) -> 2(0(2(0(1(0(1(1(0(1(0(3(2(0(2(2(2(0(z0))))))))))))))))))
   2(c_1(c_3(c_1(c_1(c_2(c_1(c_2(c_3(c_0(c_3(c_2(c_0(c_1(c_0(c_1(c_2(c_1(z0)))))))))))))))))) -> 3(0(0(3(1(1(1(1(1(2(3(2(0(2(2(1(2(1(z0))))))))))))))))))
   2(c_3(c_2(c_1(c_3(c_1(c_2(c_0(c_0(c_1(c_3(c_0(c_1(c_2(c_0(c_3(c_1(c_1(z0)))))))))))))))))) -> 1(2(3(1(1(0(1(3(0(0(0(3(2(3(2(2(1(1(z0))))))))))))))))))
   2(c_3(c_2(c_1(c_2(c_0(c_3(c_0(c_1(c_3(c_3(c_3(c_0(c_2(c_3(c_0(c_0(c_0(z0)))))))))))))))))) -> 3(0(0(3(0(2(3(1(1(3(3(2(2(0(3(0(2(0(z0))))))))))))))))))
   3(z0) -> c_3(z0)
   3(c_0(c_0(c_3(c_1(c_3(c_3(c_2(c_2(c_1(c_1(c_0(c_2(c_1(c_2(c_0(c_2(c_0(z0)))))))))))))))))) -> 3(3(1(0(2(0(2(0(2(0(2(3(1(1(3(1(0(2(z0))))))))))))))))))
   3(c_2(c_0(c_1(c_0(c_0(c_0(c_3(c_1(c_3(c_1(c_3(c_3(c_2(c_0(c_1(c_1(c_1(z0)))))))))))))))))) -> 3(2(0(3(0(1(1(1(0(1(1(0(3(0(3(2(3(1(z0))))))))))))))))))
   3(c_2(c_2(c_3(c_1(c_2(c_2(c_2(c_1(c_3(c_3(c_3(c_0(c_2(c_1(c_3(c_2(c_1(z0)))))))))))))))))) -> 3(2(2(1(2(2(2(3(2(3(3(1(1(3(3(0(2(1(z0))))))))))))))))))
   3(c_0(c_1(c_0(c_2(c_0(c_3(c_1(c_3(c_3(c_1(c_3(c_3(c_0(c_2(c_2(c_3(c_0(z0)))))))))))))))))) -> 3(0(2(1(0(3(0(3(3(0(2(3(3(1(1(2(3(0(z0))))))))))))))))))
   3(c_3(c_2(c_0(c_3(c_1(c_2(c_2(c_3(c_1(c_3(c_2(c_3(c_2(c_2(c_1(c_2(c_0(z0)))))))))))))))))) -> 3(2(1(3(2(3(2(0(3(2(2(3(2(3(1(1(2(0(z0))))))))))))))))))
   3(c_1(c_2(c_3(c_0(c_2(c_2(c_1(c_1(c_3(c_1(c_0(c_0(c_1(c_0(c_2(c_3(c_0(z0)))))))))))))))))) -> 3(1(0(0(0(3(1(1(0(3(1(2(1(2(2(3(2(0(z0))))))))))))))))))
   3(c_0(c_3(c_2(c_0(c_3(c_1(c_1(c_2(c_1(c_3(c_3(c_2(c_1(c_0(c_3(c_2(c_1(z0)))))))))))))))))) -> 2(3(3(0(1(1(1(0(2(1(2(3(3(0(3(3(2(1(z0))))))))))))))))))
   3(c_3(c_0(c_3(c_1(c_3(c_3(c_1(c_2(c_0(c_3(c_2(c_2(c_2(c_3(c_2(c_3(c_0(z0)))))))))))))))))) -> 3(2(3(1(0(3(2(1(2(3(3(3(0(0(3(3(2(2(z0))))))))))))))))))
   3(c_1(c_1(c_3(c_1(c_3(c_3(c_0(c_3(c_1(c_3(c_0(c_2(c_1(c_2(c_2(c_1(c_3(z0)))))))))))))))))) -> 3(3(3(2(0(2(1(1(2(3(1(1(3(0(3(1(1(3(z0))))))))))))))))))
   3(c_3(c_0(c_2(c_3(c_3(c_0(c_0(c_2(c_1(c_0(c_3(c_0(c_1(c_0(c_1(c_0(c_2(z0)))))))))))))))))) -> 2(0(3(3(3(0(2(0(3(1(1(1(0(0(0(0(3(2(z0))))))))))))))))))
   3(c_2(c_0(c_1(c_2(c_1(c_2(c_3(c_2(c_3(c_2(c_0(c_2(c_1(c_2(c_1(c_2(c_0(z0)))))))))))))))))) -> 2(1(1(3(2(0(2(3(1(1(2(2(0(2(3(2(2(0(z0))))))))))))))))))
   3(c_0(c_1(c_3(c_2(c_2(c_3(c_2(c_0(c_1(c_0(c_0(c_3(c_0(c_1(c_0(c_2(c_0(z0)))))))))))))))))) -> 2(3(1(2(0(2(0(3(1(0(0(0(3(2(3(1(0(0(z0))))))))))))))))))
   3(c_0(c_1(c_0(c_0(c_1(c_3(c_0(c_0(c_1(c_3(c_0(c_1(c_2(c_0(c_3(c_3(c_3(z0)))))))))))))))))) -> 1(1(3(0(0(3(1(0(1(0(2(3(0(3(3(0(0(3(z0))))))))))))))))))
   3(c_3(c_1(c_1(c_3(c_0(c_2(c_1(c_3(c_2(c_0(c_1(c_2(c_3(c_3(c_3(c_2(c_3(z0)))))))))))))))))) -> 3(1(0(3(1(1(0(3(3(2(2(2(2(3(1(3(3(3(z0))))))))))))))))))
   3(c_2(c_3(c_3(c_0(c_2(c_3(c_2(c_0(c_2(c_3(c_2(c_2(c_1(c_3(c_3(c_0(c_3(z0)))))))))))))))))) -> 3(3(2(2(3(3(2(3(0(0(3(2(2(1(0(3(2(3(z0))))))))))))))))))
   3(c_2(c_0(c_2(c_2(c_3(c_0(c_0(c_1(c_3(c_0(c_2(c_0(c_0(c_2(c_1(c_3(c_0(z0)))))))))))))))))) -> 2(1(0(0(0(0(3(2(3(0(3(1(3(0(0(2(2(2(z0))))))))))))))))))
   3(c_1(c_3(c_3(c_0(c_2(c_2(c_2(c_0(c_1(c_2(c_0(c_1(c_0(c_1(c_2(c_2(c_0(z0)))))))))))))))))) -> 3(2(3(2(0(3(1(2(1(1(1(2(0(0(0(2(2(0(z0))))))))))))))))))
   3(c_2(c_1(c_2(c_3(c_3(c_1(c_2(c_1(c_1(c_2(c_3(c_0(c_2(c_3(c_1(c_2(c_3(z0)))))))))))))))))) -> 2(0(2(3(1(1(3(3(1(2(2(2(3(3(1(1(2(3(z0))))))))))))))))))
   3(c_3(c_3(c_1(c_3(c_0(c_3(c_3(c_1(c_3(c_0(c_1(c_0(c_0(c_2(c_1(c_2(c_0(z0)))))))))))))))))) -> 3(3(1(1(0(1(3(3(0(3(3(0(2(2(3(1(0(0(z0))))))))))))))))))
   3(c_0(c_3(c_2(c_2(c_3(c_2(c_0(c_3(c_0(c_2(c_2(c_1(c_2(c_0(c_2(c_2(c_0(z0)))))))))))))))))) -> 3(2(1(0(0(3(0(2(3(2(2(0(2(2(3(2(2(0(z0))))))))))))))))))
   3(c_3(c_0(c_1(c_0(c_1(c_3(c_3(c_3(c_2(c_2(c_3(c_3(c_0(c_3(c_3(c_0(c_3(z0)))))))))))))))))) -> 3(3(3(0(2(3(1(0(1(3(2(3(3(3(3(0(0(3(z0))))))))))))))))))
   3(c_3(c_3(c_0(c_1(c_3(c_3(c_1(c_2(c_3(c_0(c_2(c_1(c_3(c_2(c_1(c_0(c_0(z0)))))))))))))))))) -> 3(1(1(1(3(0(1(3(0(2(3(2(3(0(3(2(3(0(z0))))))))))))))))))
   3(c_1(c_2(c_0(c_3(c_0(c_1(c_2(c_0(c_3(c_3(c_2(c_3(c_2(c_2(c_1(c_2(c_3(z0)))))))))))))))))) -> 3(1(3(2(1(1(3(2(0(0(0(3(2(2(2(3(2(3(z0))))))))))))))))))
   3(c_3(c_2(c_1(c_1(c_1(c_1(c_3(c_0(c_0(c_3(c_1(c_2(c_0(c_2(c_2(c_3(c_0(z0)))))))))))))))))) -> 3(3(1(1(0(1(0(2(0(1(1(2(3(3(2(2(3(0(z0))))))))))))))))))
   3(c_0(c_1(c_3(c_2(c_3(c_3(c_2(c_0(c_1(c_1(c_2(c_0(c_1(c_3(c_1(c_3(c_2(z0)))))))))))))))))) -> 3(2(3(3(0(3(1(1(0(2(2(3(1(2(1(1(0(3(z0))))))))))))))))))
   3(c_0(c_2(c_1(c_3(c_3(c_0(c_1(c_1(c_3(c_0(c_1(c_2(c_3(c_1(c_2(c_1(c_3(z0)))))))))))))))))) -> 0(1(1(2(3(2(3(1(0(2(1(1(1(0(3(3(3(3(z0))))))))))))))))))
   3(c_3(c_2(c_0(c_3(c_2(c_1(c_2(c_2(c_1(c_2(c_0(c_1(c_2(c_3(c_3(c_2(c_0(z0)))))))))))))))))) -> 2(0(3(3(1(2(1(2(1(0(2(3(3(2(3(2(2(0(z0))))))))))))))))))
   3(c_2(c_1(c_3(c_2(c_2(c_3(c_3(c_3(c_2(c_1(c_2(c_0(c_1(c_0(c_1(c_1(c_2(z0)))))))))))))))))) -> 2(3(1(1(0(2(2(0(3(3(3(1(2(3(1(2(1(2(z0))))))))))))))))))
   3(c_0(c_3(c_0(c_1(c_3(c_0(c_2(c_0(c_1(c_1(c_0(c_1(c_0(c_2(c_3(c_0(c_3(z0)))))))))))))))))) -> 3(0(0(2(1(1(0(1(0(3(2(1(0(0(3(3(0(3(z0))))))))))))))))))
   3(c_2(c_0(c_2(c_2(c_0(c_0(c_2(c_3(c_0(c_2(c_3(c_0(c_1(c_2(c_2(c_0(c_2(z0)))))))))))))))))) -> 2(0(3(2(2(2(0(3(2(0(2(1(3(2(0(0(0(2(z0))))))))))))))))))
   3(c_2(c_3(c_2(c_1(c_3(c_0(c_1(c_2(c_1(c_2(c_2(c_1(c_0(c_1(c_1(c_0(c_0(z0)))))))))))))))))) -> 3(2(2(0(1(1(1(1(1(0(0(0(3(2(2(1(3(2(z0))))))))))))))))))
   3(c_2(c_3(c_1(c_1(c_1(c_3(c_2(c_2(c_1(c_2(c_1(c_0(c_0(c_3(c_1(c_3(c_3(z0)))))))))))))))))) -> 3(2(3(2(0(3(1(1(2(3(2(0(1(3(1(1(1(3(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_3(c_2(c_0(c_3(c_0(c_0(c_1(c_2(c_1(c_2(c_0(c_1(c_2(c_1(c_3(c_0(c_0(z0)))))))))))))))))) -> c16(0'(2(2(0(3(3(1(0(0(3(0(2(1(1(0(1(2(0(z0)))))))))))))))))), 2'(2(0(3(3(1(0(0(3(0(2(1(1(0(1(2(0(z0))))))))))))))))), 2'(0(3(3(1(0(0(3(0(2(1(1(0(1(2(0(z0)))))))))))))))), 0'(3(3(1(0(0(3(0(2(1(1(0(1(2(0(z0))))))))))))))), 3'(3(1(0(0(3(0(2(1(1(0(1(2(0(z0)))))))))))))), 3'(1(0(0(3(0(2(1(1(0(1(2(0(z0))))))))))))), 1'(0(0(3(0(2(1(1(0(1(2(0(z0)))))))))))), 0'(0(3(0(2(1(1(0(1(2(0(z0))))))))))), 0'(3(0(2(1(1(0(1(2(0(z0)))))))))), 3'(0(2(1(1(0(1(2(0(z0))))))))), 0'(2(1(1(0(1(2(0(z0)))))))), 2'(1(1(0(1(2(0(z0))))))), 1'(1(0(1(2(0(z0)))))), 1'(0(1(2(0(z0))))), 0'(1(2(0(z0)))), 1'(2(0(z0))), 2'(0(z0)), 0'(z0))
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   1'(c_2(c_2(c_3(c_3(c_2(c_0(c_1(c_3(c_1(c_2(c_0(c_3(c_0(c_3(c_2(c_0(c_2(z0)))))))))))))))))) -> c31(2'(3(1(0(3(1(0(2(3(3(2(2(0(0(3(1(2(2(z0)))))))))))))))))), 3'(1(0(3(1(0(2(3(3(2(2(0(0(3(1(2(2(z0))))))))))))))))), 1'(0(3(1(0(2(3(3(2(2(0(0(3(1(2(2(z0)))))))))))))))), 0'(3(1(0(2(3(3(2(2(0(0(3(1(2(2(z0))))))))))))))), 3'(1(0(2(3(3(2(2(0(0(3(1(2(2(z0)))))))))))))), 1'(0(2(3(3(2(2(0(0(3(1(2(2(z0))))))))))))), 0'(2(3(3(2(2(0(0(3(1(2(2(z0)))))))))))), 2'(3(3(2(2(0(0(3(1(2(2(z0))))))))))), 3'(3(2(2(0(0(3(1(2(2(z0)))))))))), 3'(2(2(0(0(3(1(2(2(z0))))))))), 2'(2(0(0(3(1(2(2(z0)))))))), 2'(0(0(3(1(2(2(z0))))))), 0'(0(3(1(2(2(z0)))))), 0'(3(1(2(2(z0))))), 3'(1(2(2(z0)))), 1'(2(2(z0))), 2'(2(z0)), 2'(z0))
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   1'(c_3(c_3(c_1(c_3(c_2(c_2(c_2(c_2(c_2(c_0(c_1(c_2(c_2(c_0(c_3(c_0(c_3(z0)))))))))))))))))) -> c33(1'(3(2(0(1(0(2(2(2(2(2(1(0(3(3(3(2(3(z0)))))))))))))))))), 3'(2(0(1(0(2(2(2(2(2(1(0(3(3(3(2(3(z0))))))))))))))))), 2'(0(1(0(2(2(2(2(2(1(0(3(3(3(2(3(z0)))))))))))))))), 0'(1(0(2(2(2(2(2(1(0(3(3(3(2(3(z0))))))))))))))), 1'(0(2(2(2(2(2(1(0(3(3(3(2(3(z0)))))))))))))), 0'(2(2(2(2(2(1(0(3(3(3(2(3(z0))))))))))))), 2'(2(2(2(2(1(0(3(3(3(2(3(z0)))))))))))), 2'(2(2(2(1(0(3(3(3(2(3(z0))))))))))), 2'(2(2(1(0(3(3(3(2(3(z0)))))))))), 2'(2(1(0(3(3(3(2(3(z0))))))))), 2'(1(0(3(3(3(2(3(z0)))))))), 1'(0(3(3(3(2(3(z0))))))), 0'(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))
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   3'(c_0(c_3(c_2(c_2(c_3(c_2(c_0(c_3(c_0(c_2(c_2(c_1(c_2(c_0(c_2(c_2(c_0(z0)))))))))))))))))) -> c79(3'(2(1(0(0(3(0(2(3(2(2(0(2(2(3(2(2(0(z0)))))))))))))))))), 2'(1(0(0(3(0(2(3(2(2(0(2(2(3(2(2(0(z0))))))))))))))))), 1'(0(0(3(0(2(3(2(2(0(2(2(3(2(2(0(z0)))))))))))))))), 0'(0(3(0(2(3(2(2(0(2(2(3(2(2(0(z0))))))))))))))), 0'(3(0(2(3(2(2(0(2(2(3(2(2(0(z0)))))))))))))), 3'(0(2(3(2(2(0(2(2(3(2(2(0(z0))))))))))))), 0'(2(3(2(2(0(2(2(3(2(2(0(z0)))))))))))), 2'(3(2(2(0(2(2(3(2(2(0(z0))))))))))), 3'(2(2(0(2(2(3(2(2(0(z0)))))))))), 2'(2(0(2(2(3(2(2(0(z0))))))))), 2'(0(2(2(3(2(2(0(z0)))))))), 0'(2(2(3(2(2(0(z0))))))), 2'(2(3(2(2(0(z0)))))), 2'(3(2(2(0(z0))))), 3'(2(2(0(z0)))), 2'(2(0(z0))), 2'(0(z0)), 0'(z0))
   3'(c_3(c_0(c_1(c_0(c_1(c_3(c_3(c_3(c_2(c_2(c_3(c_3(c_0(c_3(c_3(c_0(c_3(z0)))))))))))))))))) -> c80(3'(3(3(0(2(3(1(0(1(3(2(3(3(3(3(0(0(3(z0)))))))))))))))))), 3'(3(0(2(3(1(0(1(3(2(3(3(3(3(0(0(3(z0))))))))))))))))), 3'(0(2(3(1(0(1(3(2(3(3(3(3(0(0(3(z0)))))))))))))))), 0'(2(3(1(0(1(3(2(3(3(3(3(0(0(3(z0))))))))))))))), 2'(3(1(0(1(3(2(3(3(3(3(0(0(3(z0)))))))))))))), 3'(1(0(1(3(2(3(3(3(3(0(0(3(z0))))))))))))), 1'(0(1(3(2(3(3(3(3(0(0(3(z0)))))))))))), 0'(1(3(2(3(3(3(3(0(0(3(z0))))))))))), 1'(3(2(3(3(3(3(0(0(3(z0)))))))))), 3'(2(3(3(3(3(0(0(3(z0))))))))), 2'(3(3(3(3(0(0(3(z0)))))))), 3'(3(3(3(0(0(3(z0))))))), 3'(3(3(0(0(3(z0)))))), 3'(3(0(0(3(z0))))), 3'(0(0(3(z0)))), 0'(0(3(z0))), 0'(3(z0)), 3'(z0))
   3'(c_3(c_3(c_0(c_1(c_3(c_3(c_1(c_2(c_3(c_0(c_2(c_1(c_3(c_2(c_1(c_0(c_0(z0)))))))))))))))))) -> c81(3'(1(1(1(3(0(1(3(0(2(3(2(3(0(3(2(3(0(z0)))))))))))))))))), 1'(1(1(3(0(1(3(0(2(3(2(3(0(3(2(3(0(z0))))))))))))))))), 1'(1(3(0(1(3(0(2(3(2(3(0(3(2(3(0(z0)))))))))))))))), 1'(3(0(1(3(0(2(3(2(3(0(3(2(3(0(z0))))))))))))))), 3'(0(1(3(0(2(3(2(3(0(3(2(3(0(z0)))))))))))))), 0'(1(3(0(2(3(2(3(0(3(2(3(0(z0))))))))))))), 1'(3(0(2(3(2(3(0(3(2(3(0(z0)))))))))))), 3'(0(2(3(2(3(0(3(2(3(0(z0))))))))))), 0'(2(3(2(3(0(3(2(3(0(z0)))))))))), 2'(3(2(3(0(3(2(3(0(z0))))))))), 3'(2(3(0(3(2(3(0(z0)))))))), 2'(3(0(3(2(3(0(z0))))))), 3'(0(3(2(3(0(z0)))))), 0'(3(2(3(0(z0))))), 3'(2(3(0(z0)))), 2'(3(0(z0))), 3'(0(z0)), 0'(z0))
   3'(c_1(c_2(c_0(c_3(c_0(c_1(c_2(c_0(c_3(c_3(c_2(c_3(c_2(c_2(c_1(c_2(c_3(z0)))))))))))))))))) -> c82(3'(1(3(2(1(1(3(2(0(0(0(3(2(2(2(3(2(3(z0)))))))))))))))))), 1'(3(2(1(1(3(2(0(0(0(3(2(2(2(3(2(3(z0))))))))))))))))), 3'(2(1(1(3(2(0(0(0(3(2(2(2(3(2(3(z0)))))))))))))))), 2'(1(1(3(2(0(0(0(3(2(2(2(3(2(3(z0))))))))))))))), 1'(1(3(2(0(0(0(3(2(2(2(3(2(3(z0)))))))))))))), 1'(3(2(0(0(0(3(2(2(2(3(2(3(z0))))))))))))), 3'(2(0(0(0(3(2(2(2(3(2(3(z0)))))))))))), 2'(0(0(0(3(2(2(2(3(2(3(z0))))))))))), 0'(0(0(3(2(2(2(3(2(3(z0)))))))))), 0'(0(3(2(2(2(3(2(3(z0))))))))), 0'(3(2(2(2(3(2(3(z0)))))))), 3'(2(2(2(3(2(3(z0))))))), 2'(2(2(3(2(3(z0)))))), 2'(2(3(2(3(z0))))), 2'(3(2(3(z0)))), 3'(2(3(z0))), 2'(3(z0)), 3'(z0))
   3'(c_3(c_2(c_1(c_1(c_1(c_1(c_3(c_0(c_0(c_3(c_1(c_2(c_0(c_2(c_2(c_3(c_0(z0)))))))))))))))))) -> c83(3'(3(1(1(0(1(0(2(0(1(1(2(3(3(2(2(3(0(z0)))))))))))))))))), 3'(1(1(0(1(0(2(0(1(1(2(3(3(2(2(3(0(z0))))))))))))))))), 1'(1(0(1(0(2(0(1(1(2(3(3(2(2(3(0(z0)))))))))))))))), 1'(0(1(0(2(0(1(1(2(3(3(2(2(3(0(z0))))))))))))))), 0'(1(0(2(0(1(1(2(3(3(2(2(3(0(z0)))))))))))))), 1'(0(2(0(1(1(2(3(3(2(2(3(0(z0))))))))))))), 0'(2(0(1(1(2(3(3(2(2(3(0(z0)))))))))))), 2'(0(1(1(2(3(3(2(2(3(0(z0))))))))))), 0'(1(1(2(3(3(2(2(3(0(z0)))))))))), 1'(1(2(3(3(2(2(3(0(z0))))))))), 1'(2(3(3(2(2(3(0(z0)))))))), 2'(3(3(2(2(3(0(z0))))))), 3'(3(2(2(3(0(z0)))))), 3'(2(2(3(0(z0))))), 2'(2(3(0(z0)))), 2'(3(0(z0))), 3'(0(z0)), 0'(z0))
   3'(c_0(c_1(c_3(c_2(c_3(c_3(c_2(c_0(c_1(c_1(c_2(c_0(c_1(c_3(c_1(c_3(c_2(z0)))))))))))))))))) -> c84(3'(2(3(3(0(3(1(1(0(2(2(3(1(2(1(1(0(3(z0)))))))))))))))))), 2'(3(3(0(3(1(1(0(2(2(3(1(2(1(1(0(3(z0))))))))))))))))), 3'(3(0(3(1(1(0(2(2(3(1(2(1(1(0(3(z0)))))))))))))))), 3'(0(3(1(1(0(2(2(3(1(2(1(1(0(3(z0))))))))))))))), 0'(3(1(1(0(2(2(3(1(2(1(1(0(3(z0)))))))))))))), 3'(1(1(0(2(2(3(1(2(1(1(0(3(z0))))))))))))), 1'(1(0(2(2(3(1(2(1(1(0(3(z0)))))))))))), 1'(0(2(2(3(1(2(1(1(0(3(z0))))))))))), 0'(2(2(3(1(2(1(1(0(3(z0)))))))))), 2'(2(3(1(2(1(1(0(3(z0))))))))), 2'(3(1(2(1(1(0(3(z0)))))))), 3'(1(2(1(1(0(3(z0))))))), 1'(2(1(1(0(3(z0)))))), 2'(1(1(0(3(z0))))), 1'(1(0(3(z0)))), 1'(0(3(z0))), 0'(3(z0)), 3'(z0))
   3'(c_0(c_2(c_1(c_3(c_3(c_0(c_1(c_1(c_3(c_0(c_1(c_2(c_3(c_1(c_2(c_1(c_3(z0)))))))))))))))))) -> c85(0'(1(1(2(3(2(3(1(0(2(1(1(1(0(3(3(3(3(z0)))))))))))))))))), 1'(1(2(3(2(3(1(0(2(1(1(1(0(3(3(3(3(z0))))))))))))))))), 1'(2(3(2(3(1(0(2(1(1(1(0(3(3(3(3(z0)))))))))))))))), 2'(3(2(3(1(0(2(1(1(1(0(3(3(3(3(z0))))))))))))))), 3'(2(3(1(0(2(1(1(1(0(3(3(3(3(z0)))))))))))))), 2'(3(1(0(2(1(1(1(0(3(3(3(3(z0))))))))))))), 3'(1(0(2(1(1(1(0(3(3(3(3(z0)))))))))))), 1'(0(2(1(1(1(0(3(3(3(3(z0))))))))))), 0'(2(1(1(1(0(3(3(3(3(z0)))))))))), 2'(1(1(1(0(3(3(3(3(z0))))))))), 1'(1(1(0(3(3(3(3(z0)))))))), 1'(1(0(3(3(3(3(z0))))))), 1'(0(3(3(3(3(z0)))))), 0'(3(3(3(3(z0))))), 3'(3(3(3(z0)))), 3'(3(3(z0))), 3'(3(z0)), 3'(z0))
   3'(c_3(c_2(c_0(c_3(c_2(c_1(c_2(c_2(c_1(c_2(c_0(c_1(c_2(c_3(c_3(c_2(c_0(z0)))))))))))))))))) -> c86(2'(0(3(3(1(2(1(2(1(0(2(3(3(2(3(2(2(0(z0)))))))))))))))))), 0'(3(3(1(2(1(2(1(0(2(3(3(2(3(2(2(0(z0))))))))))))))))), 3'(3(1(2(1(2(1(0(2(3(3(2(3(2(2(0(z0)))))))))))))))), 3'(1(2(1(2(1(0(2(3(3(2(3(2(2(0(z0))))))))))))))), 1'(2(1(2(1(0(2(3(3(2(3(2(2(0(z0)))))))))))))), 2'(1(2(1(0(2(3(3(2(3(2(2(0(z0))))))))))))), 1'(2(1(0(2(3(3(2(3(2(2(0(z0)))))))))))), 2'(1(0(2(3(3(2(3(2(2(0(z0))))))))))), 1'(0(2(3(3(2(3(2(2(0(z0)))))))))), 0'(2(3(3(2(3(2(2(0(z0))))))))), 2'(3(3(2(3(2(2(0(z0)))))))), 3'(3(2(3(2(2(0(z0))))))), 3'(2(3(2(2(0(z0)))))), 2'(3(2(2(0(z0))))), 3'(2(2(0(z0)))), 2'(2(0(z0))), 2'(0(z0)), 0'(z0))
   3'(c_2(c_1(c_3(c_2(c_2(c_3(c_3(c_3(c_2(c_1(c_2(c_0(c_1(c_0(c_1(c_1(c_2(z0)))))))))))))))))) -> c87(2'(3(1(1(0(2(2(0(3(3(3(1(2(3(1(2(1(2(z0)))))))))))))))))), 3'(1(1(0(2(2(0(3(3(3(1(2(3(1(2(1(2(z0))))))))))))))))), 1'(1(0(2(2(0(3(3(3(1(2(3(1(2(1(2(z0)))))))))))))))), 1'(0(2(2(0(3(3(3(1(2(3(1(2(1(2(z0))))))))))))))), 0'(2(2(0(3(3(3(1(2(3(1(2(1(2(z0)))))))))))))), 2'(2(0(3(3(3(1(2(3(1(2(1(2(z0))))))))))))), 2'(0(3(3(3(1(2(3(1(2(1(2(z0)))))))))))), 0'(3(3(3(1(2(3(1(2(1(2(z0))))))))))), 3'(3(3(1(2(3(1(2(1(2(z0)))))))))), 3'(3(1(2(3(1(2(1(2(z0))))))))), 3'(1(2(3(1(2(1(2(z0)))))))), 1'(2(3(1(2(1(2(z0))))))), 2'(3(1(2(1(2(z0)))))), 3'(1(2(1(2(z0))))), 1'(2(1(2(z0)))), 2'(1(2(z0))), 1'(2(z0)), 2'(z0))
   3'(c_0(c_3(c_0(c_1(c_3(c_0(c_2(c_0(c_1(c_1(c_0(c_1(c_0(c_2(c_3(c_0(c_3(z0)))))))))))))))))) -> c88(3'(0(0(2(1(1(0(1(0(3(2(1(0(0(3(3(0(3(z0)))))))))))))))))), 0'(0(2(1(1(0(1(0(3(2(1(0(0(3(3(0(3(z0))))))))))))))))), 0'(2(1(1(0(1(0(3(2(1(0(0(3(3(0(3(z0)))))))))))))))), 2'(1(1(0(1(0(3(2(1(0(0(3(3(0(3(z0))))))))))))))), 1'(1(0(1(0(3(2(1(0(0(3(3(0(3(z0)))))))))))))), 1'(0(1(0(3(2(1(0(0(3(3(0(3(z0))))))))))))), 0'(1(0(3(2(1(0(0(3(3(0(3(z0)))))))))))), 1'(0(3(2(1(0(0(3(3(0(3(z0))))))))))), 0'(3(2(1(0(0(3(3(0(3(z0)))))))))), 3'(2(1(0(0(3(3(0(3(z0))))))))), 2'(1(0(0(3(3(0(3(z0)))))))), 1'(0(0(3(3(0(3(z0))))))), 0'(0(3(3(0(3(z0)))))), 0'(3(3(0(3(z0))))), 3'(3(0(3(z0)))), 3'(0(3(z0))), 0'(3(z0)), 3'(z0))
   3'(c_2(c_0(c_2(c_2(c_0(c_0(c_2(c_3(c_0(c_2(c_3(c_0(c_1(c_2(c_2(c_0(c_2(z0)))))))))))))))))) -> c89(2'(0(3(2(2(2(0(3(2(0(2(1(3(2(0(0(0(2(z0)))))))))))))))))), 0'(3(2(2(2(0(3(2(0(2(1(3(2(0(0(0(2(z0))))))))))))))))), 3'(2(2(2(0(3(2(0(2(1(3(2(0(0(0(2(z0)))))))))))))))), 2'(2(2(0(3(2(0(2(1(3(2(0(0(0(2(z0))))))))))))))), 2'(2(0(3(2(0(2(1(3(2(0(0(0(2(z0)))))))))))))), 2'(0(3(2(0(2(1(3(2(0(0(0(2(z0))))))))))))), 0'(3(2(0(2(1(3(2(0(0(0(2(z0)))))))))))), 3'(2(0(2(1(3(2(0(0(0(2(z0))))))))))), 2'(0(2(1(3(2(0(0(0(2(z0)))))))))), 0'(2(1(3(2(0(0(0(2(z0))))))))), 2'(1(3(2(0(0(0(2(z0)))))))), 1'(3(2(0(0(0(2(z0))))))), 3'(2(0(0(0(2(z0)))))), 2'(0(0(0(2(z0))))), 0'(0(0(2(z0)))), 0'(0(2(z0))), 0'(2(z0)), 2'(z0))
   3'(c_2(c_3(c_2(c_1(c_3(c_0(c_1(c_2(c_1(c_2(c_2(c_1(c_0(c_1(c_1(c_0(c_0(z0)))))))))))))))))) -> c90(3'(2(2(0(1(1(1(1(1(0(0(0(3(2(2(1(3(2(z0)))))))))))))))))), 2'(2(0(1(1(1(1(1(0(0(0(3(2(2(1(3(2(z0))))))))))))))))), 2'(0(1(1(1(1(1(0(0(0(3(2(2(1(3(2(z0)))))))))))))))), 0'(1(1(1(1(1(0(0(0(3(2(2(1(3(2(z0))))))))))))))), 1'(1(1(1(1(0(0(0(3(2(2(1(3(2(z0)))))))))))))), 1'(1(1(1(0(0(0(3(2(2(1(3(2(z0))))))))))))), 1'(1(1(0(0(0(3(2(2(1(3(2(z0)))))))))))), 1'(1(0(0(0(3(2(2(1(3(2(z0))))))))))), 1'(0(0(0(3(2(2(1(3(2(z0)))))))))), 0'(0(0(3(2(2(1(3(2(z0))))))))), 0'(0(3(2(2(1(3(2(z0)))))))), 0'(3(2(2(1(3(2(z0))))))), 3'(2(2(1(3(2(z0)))))), 2'(2(1(3(2(z0))))), 2'(1(3(2(z0)))), 1'(3(2(z0))), 3'(2(z0)), 2'(z0))
   3'(c_2(c_3(c_1(c_1(c_1(c_3(c_2(c_2(c_1(c_2(c_1(c_0(c_0(c_3(c_1(c_3(c_3(z0)))))))))))))))))) -> c91(3'(2(3(2(0(3(1(1(2(3(2(0(1(3(1(1(1(3(z0)))))))))))))))))), 2'(3(2(0(3(1(1(2(3(2(0(1(3(1(1(1(3(z0))))))))))))))))), 3'(2(0(3(1(1(2(3(2(0(1(3(1(1(1(3(z0)))))))))))))))), 2'(0(3(1(1(2(3(2(0(1(3(1(1(1(3(z0))))))))))))))), 0'(3(1(1(2(3(2(0(1(3(1(1(1(3(z0)))))))))))))), 3'(1(1(2(3(2(0(1(3(1(1(1(3(z0))))))))))))), 1'(1(2(3(2(0(1(3(1(1(1(3(z0)))))))))))), 1'(2(3(2(0(1(3(1(1(1(3(z0))))))))))), 2'(3(2(0(1(3(1(1(1(3(z0)))))))))), 3'(2(0(1(3(1(1(1(3(z0))))))))), 2'(0(1(3(1(1(1(3(z0)))))))), 0'(1(3(1(1(1(3(z0))))))), 1'(3(1(1(1(3(z0)))))), 3'(1(1(1(3(z0))))), 1'(1(1(3(z0)))), 1'(1(3(z0))), 1'(3(z0)), 3'(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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   1'(c_2(c_2(c_3(c_3(c_2(c_0(c_1(c_3(c_1(c_2(c_0(c_3(c_0(c_3(c_2(c_0(c_2(z0)))))))))))))))))) -> c31(2'(3(1(0(3(1(0(2(3(3(2(2(0(0(3(1(2(2(z0)))))))))))))))))), 3'(1(0(3(1(0(2(3(3(2(2(0(0(3(1(2(2(z0))))))))))))))))), 1'(0(3(1(0(2(3(3(2(2(0(0(3(1(2(2(z0)))))))))))))))), 0'(3(1(0(2(3(3(2(2(0(0(3(1(2(2(z0))))))))))))))), 3'(1(0(2(3(3(2(2(0(0(3(1(2(2(z0)))))))))))))), 1'(0(2(3(3(2(2(0(0(3(1(2(2(z0))))))))))))), 0'(2(3(3(2(2(0(0(3(1(2(2(z0)))))))))))), 2'(3(3(2(2(0(0(3(1(2(2(z0))))))))))), 3'(3(2(2(0(0(3(1(2(2(z0)))))))))), 3'(2(2(0(0(3(1(2(2(z0))))))))), 2'(2(0(0(3(1(2(2(z0)))))))), 2'(0(0(3(1(2(2(z0))))))), 0'(0(3(1(2(2(z0)))))), 0'(3(1(2(2(z0))))), 3'(1(2(2(z0)))), 1'(2(2(z0))), 2'(2(z0)), 2'(z0))
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   1'(c_3(c_3(c_1(c_3(c_2(c_2(c_2(c_2(c_2(c_0(c_1(c_2(c_2(c_0(c_3(c_0(c_3(z0)))))))))))))))))) -> c33(1'(3(2(0(1(0(2(2(2(2(2(1(0(3(3(3(2(3(z0)))))))))))))))))), 3'(2(0(1(0(2(2(2(2(2(1(0(3(3(3(2(3(z0))))))))))))))))), 2'(0(1(0(2(2(2(2(2(1(0(3(3(3(2(3(z0)))))))))))))))), 0'(1(0(2(2(2(2(2(1(0(3(3(3(2(3(z0))))))))))))))), 1'(0(2(2(2(2(2(1(0(3(3(3(2(3(z0)))))))))))))), 0'(2(2(2(2(2(1(0(3(3(3(2(3(z0))))))))))))), 2'(2(2(2(2(1(0(3(3(3(2(3(z0)))))))))))), 2'(2(2(2(1(0(3(3(3(2(3(z0))))))))))), 2'(2(2(1(0(3(3(3(2(3(z0)))))))))), 2'(2(1(0(3(3(3(2(3(z0))))))))), 2'(1(0(3(3(3(2(3(z0)))))))), 1'(0(3(3(3(2(3(z0))))))), 0'(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))
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   3'(c_3(c_3(c_0(c_1(c_3(c_3(c_1(c_2(c_3(c_0(c_2(c_1(c_3(c_2(c_1(c_0(c_0(z0)))))))))))))))))) -> c81(3'(1(1(1(3(0(1(3(0(2(3(2(3(0(3(2(3(0(z0)))))))))))))))))), 1'(1(1(3(0(1(3(0(2(3(2(3(0(3(2(3(0(z0))))))))))))))))), 1'(1(3(0(1(3(0(2(3(2(3(0(3(2(3(0(z0)))))))))))))))), 1'(3(0(1(3(0(2(3(2(3(0(3(2(3(0(z0))))))))))))))), 3'(0(1(3(0(2(3(2(3(0(3(2(3(0(z0)))))))))))))), 0'(1(3(0(2(3(2(3(0(3(2(3(0(z0))))))))))))), 1'(3(0(2(3(2(3(0(3(2(3(0(z0)))))))))))), 3'(0(2(3(2(3(0(3(2(3(0(z0))))))))))), 0'(2(3(2(3(0(3(2(3(0(z0)))))))))), 2'(3(2(3(0(3(2(3(0(z0))))))))), 3'(2(3(0(3(2(3(0(z0)))))))), 2'(3(0(3(2(3(0(z0))))))), 3'(0(3(2(3(0(z0)))))), 0'(3(2(3(0(z0))))), 3'(2(3(0(z0)))), 2'(3(0(z0))), 3'(0(z0)), 0'(z0))
   3'(c_1(c_2(c_0(c_3(c_0(c_1(c_2(c_0(c_3(c_3(c_2(c_3(c_2(c_2(c_1(c_2(c_3(z0)))))))))))))))))) -> c82(3'(1(3(2(1(1(3(2(0(0(0(3(2(2(2(3(2(3(z0)))))))))))))))))), 1'(3(2(1(1(3(2(0(0(0(3(2(2(2(3(2(3(z0))))))))))))))))), 3'(2(1(1(3(2(0(0(0(3(2(2(2(3(2(3(z0)))))))))))))))), 2'(1(1(3(2(0(0(0(3(2(2(2(3(2(3(z0))))))))))))))), 1'(1(3(2(0(0(0(3(2(2(2(3(2(3(z0)))))))))))))), 1'(3(2(0(0(0(3(2(2(2(3(2(3(z0))))))))))))), 3'(2(0(0(0(3(2(2(2(3(2(3(z0)))))))))))), 2'(0(0(0(3(2(2(2(3(2(3(z0))))))))))), 0'(0(0(3(2(2(2(3(2(3(z0)))))))))), 0'(0(3(2(2(2(3(2(3(z0))))))))), 0'(3(2(2(2(3(2(3(z0)))))))), 3'(2(2(2(3(2(3(z0))))))), 2'(2(2(3(2(3(z0)))))), 2'(2(3(2(3(z0))))), 2'(3(2(3(z0)))), 3'(2(3(z0))), 2'(3(z0)), 3'(z0))
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K tuples:none
Defined Rule Symbols:   encArg_1, 0_1, 1_1, 2_1, 3_1

Defined Pair Symbols:   ENCARG_1, 0'_1, 1'_1, 2'_1, 3'_1, ENCODE_0_1, ENCODE_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, c21_18, c22_18, c23_18, c24_18, c25_18, c26_18, c27_18, c28_18, c29_18, c30_18, c31_18, c32_18, c33_18, c34_18, 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_18, c57_18, c58_18, c60_18, c61_18, c62_18, c63_18, c64_18, c65_18, c66_18, c67_18, c68_18, c69_18, c70_18, c71_18, c72_18, c73_18, c74_18, c75_18, c76_18, c77_18, c78_18, c79_18, c80_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_3(c_0(c_0(c_2(c_1(c_0(c_0(c_2(c_1(c_2(c_2(c_3(c_2(c_0(c_0(c_2(c_0(z0)))))))))))))))))) -> 0(2(0(0(0(2(0(3(0(2(2(0(1(1(3(2(2(0(z0))))))))))))))))))
   0(c_0(c_3(c_3(c_0(c_2(c_3(c_0(c_3(c_0(c_2(c_1(c_0(c_0(c_0(c_3(c_3(c_0(z0)))))))))))))))))) -> 0(0(3(1(0(3(0(0(3(3(0(3(3(0(0(2(0(2(z0))))))))))))))))))
   0(c_0(c_1(c_1(c_2(c_1(c_3(c_1(c_3(c_1(c_1(c_1(c_2(c_2(c_1(c_0(c_2(c_2(z0)))))))))))))))))) -> 2(1(1(1(1(0(3(1(1(1(2(0(3(1(0(2(2(2(z0))))))))))))))))))
   0(c_3(c_3(c_0(c_0(c_0(c_1(c_3(c_2(c_2(c_3(c_2(c_1(c_3(c_0(c_0(c_2(c_1(z0)))))))))))))))))) -> 0(2(2(0(0(3(0(2(3(1(0(3(1(0(3(2(3(1(z0))))))))))))))))))
   0(c_0(c_0(c_0(c_1(c_1(c_3(c_2(c_3(c_3(c_0(c_1(c_1(c_2(c_0(c_1(c_3(c_1(z0)))))))))))))))))) -> 0(0(0(1(1(1(0(1(3(3(1(0(3(2(0(2(3(1(z0))))))))))))))))))
   0(c_2(c_1(c_2(c_1(c_1(c_2(c_3(c_2(c_1(c_0(c_0(c_1(c_0(c_0(c_3(c_0(c_3(z0)))))))))))))))))) -> 0(3(2(0(0(1(2(1(0(2(1(1(3(1(0(0(2(3(z0))))))))))))))))))
   0(c_0(c_0(c_2(c_3(c_0(c_0(c_0(c_0(c_0(c_0(c_1(c_1(c_0(c_3(c_0(c_0(c_0(z0)))))))))))))))))) -> 0(0(3(1(0(0(0(0(2(0(0(0(3(1(0(0(0(0(z0))))))))))))))))))
   0(c_3(c_2(c_0(c_3(c_0(c_0(c_1(c_2(c_1(c_2(c_0(c_1(c_2(c_1(c_3(c_0(c_0(z0)))))))))))))))))) -> 0(2(2(0(3(3(1(0(0(3(0(2(1(1(0(1(2(0(z0))))))))))))))))))
   0(c_2(c_0(c_2(c_1(c_1(c_2(c_1(c_2(c_0(c_0(c_3(c_2(c_2(c_3(c_0(c_0(c_3(z0)))))))))))))))))) -> 0(3(2(2(0(2(2(2(2(0(3(0(1(0(1(1(0(3(z0))))))))))))))))))
   0(c_2(c_3(c_1(c_2(c_3(c_2(c_1(c_0(c_1(c_0(c_0(c_3(c_1(c_3(c_1(c_2(c_3(z0)))))))))))))))))) -> 0(2(3(3(1(2(1(1(1(0(2(3(1(0(2(0(3(3(z0))))))))))))))))))
   0(c_2(c_0(c_1(c_3(c_0(c_0(c_1(c_3(c_0(c_2(c_0(c_1(c_3(c_1(c_1(c_3(c_1(z0)))))))))))))))))) -> 0(2(0(1(3(1(1(2(1(0(0(3(3(0(0(1(3(1(z0))))))))))))))))))
   1(z0) -> c_1(z0)
   1(c_0(c_0(c_1(c_0(c_0(c_3(c_3(c_0(c_0(c_2(c_1(c_2(c_1(c_3(c_3(c_1(c_3(z0)))))))))))))))))) -> 1(0(3(0(0(3(3(0(0(2(1(0(3(1(2(3(1(1(z0))))))))))))))))))
   1(c_3(c_3(c_0(c_3(c_2(c_1(c_1(c_1(c_0(c_1(c_3(c_2(c_3(c_1(c_1(c_2(c_1(z0)))))))))))))))))) -> 1(3(1(3(0(1(1(3(2(3(2(2(0(3(1(1(1(1(z0))))))))))))))))))
   1(c_2(c_3(c_1(c_3(c_0(c_1(c_2(c_2(c_0(c_2(c_0(c_1(c_1(c_1(c_1(c_0(c_1(z0)))))))))))))))))) -> 1(2(2(0(1(1(1(1(0(0(3(2(1(0(2(3(1(1(z0))))))))))))))))))
   1(c_0(c_3(c_1(c_2(c_0(c_3(c_3(c_2(c_1(c_2(c_0(c_0(c_1(c_0(c_2(c_1(c_3(z0)))))))))))))))))) -> 1(0(3(3(1(0(2(0(3(1(0(3(2(1(2(2(1(0(z0))))))))))))))))))
   1(c_1(c_3(c_2(c_1(c_0(c_0(c_3(c_3(c_1(c_1(c_3(c_2(c_0(c_1(c_2(c_1(c_1(z0)))))))))))))))))) -> 1(1(2(3(3(0(0(3(3(1(1(1(1(1(0(2(2(1(z0))))))))))))))))))
   1(c_1(c_2(c_0(c_3(c_0(c_2(c_1(c_3(c_3(c_0(c_3(c_3(c_3(c_3(c_3(c_1(c_2(z0)))))))))))))))))) -> 1(0(3(3(0(3(3(1(0(2(3(1(1(3(2(3(2(3(z0))))))))))))))))))
   1(c_3(c_0(c_3(c_0(c_1(c_3(c_1(c_2(c_1(c_0(c_2(c_1(c_1(c_3(c_0(c_1(c_1(z0)))))))))))))))))) -> 1(0(1(0(3(1(3(1(0(1(1(3(2(3(0(2(1(1(z0))))))))))))))))))
   1(c_3(c_3(c_3(c_1(c_2(c_0(c_1(c_2(c_0(c_0(c_2(c_1(c_3(c_3(c_3(c_0(c_2(z0)))))))))))))))))) -> 1(3(1(1(0(3(3(0(2(0(1(3(0(3(2(3(2(2(z0))))))))))))))))))
   1(c_1(c_2(c_1(c_0(c_0(c_3(c_0(c_3(c_1(c_3(c_0(c_1(c_3(c_1(c_3(c_3(c_3(z0)))))))))))))))))) -> 3(0(1(1(1(1(3(0(3(1(1(0(3(0(2(3(3(3(z0))))))))))))))))))
   1(c_3(c_0(c_1(c_3(c_1(c_2(c_1(c_2(c_1(c_2(c_2(c_2(c_1(c_3(c_0(c_1(c_3(z0)))))))))))))))))) -> 2(3(2(1(1(2(2(1(3(1(0(2(1(1(1(0(3(3(z0))))))))))))))))))
   1(c_2(c_2(c_3(c_3(c_2(c_0(c_1(c_3(c_1(c_2(c_0(c_3(c_0(c_3(c_2(c_0(c_2(z0)))))))))))))))))) -> 2(3(1(0(3(1(0(2(3(3(2(2(0(0(3(1(2(2(z0))))))))))))))))))
   1(c_3(c_2(c_1(c_0(c_1(c_2(c_1(c_3(c_1(c_1(c_3(c_3(c_3(c_0(c_2(c_1(c_3(z0)))))))))))))))))) -> 1(0(3(1(1(2(2(3(2(3(1(1(3(1(1(0(3(3(z0))))))))))))))))))
   1(c_3(c_3(c_1(c_3(c_2(c_2(c_2(c_2(c_2(c_0(c_1(c_2(c_2(c_0(c_3(c_0(c_3(z0)))))))))))))))))) -> 1(3(2(0(1(0(2(2(2(2(2(1(0(3(3(3(2(3(z0))))))))))))))))))
   1(c_1(c_2(c_0(c_3(c_0(c_1(c_3(c_0(c_2(c_3(c_3(c_3(c_2(c_2(c_3(c_0(c_3(z0)))))))))))))))))) -> 3(3(0(3(1(0(3(2(3(2(2(0(3(2(1(1(0(3(z0))))))))))))))))))
   2(z0) -> c_2(z0)
   2(c_1(c_0(c_1(c_1(c_2(c_2(c_3(c_3(c_2(c_1(c_2(c_1(c_2(c_2(c_3(c_0(c_2(z0)))))))))))))))))) -> 2(3(2(1(1(0(1(2(2(2(0(3(2(2(1(1(3(2(z0))))))))))))))))))
   2(c_0(c_3(c_2(c_0(c_3(c_1(c_0(c_0(c_0(c_1(c_3(c_0(c_0(c_3(c_0(c_2(c_2(z0)))))))))))))))))) -> 2(3(0(0(0(0(0(0(0(2(3(1(3(1(0(3(2(2(z0))))))))))))))))))
   2(c_1(c_1(c_1(c_0(c_1(c_0(c_0(c_3(c_3(c_0(c_3(c_2(c_0(c_1(c_2(c_1(c_3(z0)))))))))))))))))) -> 2(2(3(0(3(1(0(0(3(0(1(1(1(1(2(1(0(3(z0))))))))))))))))))
   2(c_2(c_1(c_3(c_0(c_1(c_3(c_0(c_1(c_2(c_0(c_2(c_2(c_1(c_3(c_2(c_2(c_2(z0)))))))))))))))))) -> 1(1(2(2(3(3(3(2(2(0(2(0(1(0(2(2(1(2(z0))))))))))))))))))
   2(c_1(c_0(c_0(c_3(c_0(c_0(c_0(c_1(c_3(c_0(c_1(c_3(c_0(c_1(c_3(c_2(c_1(z0)))))))))))))))))) -> 3(0(0(0(1(1(2(3(3(0(0(3(0(1(0(2(1(1(z0))))))))))))))))))
   2(c_2(c_1(c_2(c_3(c_2(c_1(c_1(c_1(c_0(c_0(c_3(c_3(c_1(c_2(c_2(c_1(c_3(z0)))))))))))))))))) -> 2(2(1(1(1(2(1(2(3(2(3(1(3(1(0(2(0(3(z0))))))))))))))))))
   2(c_1(c_1(c_3(c_0(c_2(c_1(c_3(c_2(c_2(c_3(c_3(c_3(c_1(c_3(c_2(c_3(c_3(z0)))))))))))))))))) -> 2(2(3(3(1(2(1(0(1(1(3(3(2(3(3(2(3(3(z0))))))))))))))))))
   2(c_1(c_3(c_0(c_3(c_0(c_1(c_0(c_1(c_3(c_3(c_0(c_1(c_3(c_3(c_0(c_2(c_3(z0)))))))))))))))))) -> 2(3(3(0(3(3(0(0(3(2(3(1(1(1(0(3(1(0(z0))))))))))))))))))
   2(c_2(c_1(c_2(c_2(c_2(c_2(c_2(c_1(c_3(c_2(c_1(c_3(c_0(c_3(c_3(c_1(c_2(z0)))))))))))))))))) -> 2(2(0(2(2(2(3(1(2(1(3(2(3(1(1(2(3(2(z0))))))))))))))))))
   2(c_2(c_1(c_0(c_1(c_3(c_2(c_2(c_0(c_2(c_2(c_2(c_2(c_0(c_2(c_2(c_1(c_2(z0)))))))))))))))))) -> 2(3(2(2(2(1(2(2(2(0(1(0(2(2(0(2(1(2(z0))))))))))))))))))
   2(c_2(c_3(c_0(c_2(c_3(c_1(c_2(c_0(c_2(c_2(c_1(c_3(c_0(c_0(c_1(c_3(c_2(z0)))))))))))))))))) -> 3(0(2(1(3(2(2(1(1(2(0(3(0(0(2(2(3(2(z0))))))))))))))))))
   2(c_2(c_3(c_1(c_1(c_2(c_0(c_2(c_0(c_3(c_0(c_0(c_2(c_1(c_0(c_1(c_3(c_2(z0)))))))))))))))))) -> 2(2(3(2(2(0(3(0(3(1(0(1(1(1(2(2(0(0(z0))))))))))))))))))
   2(c_2(c_3(c_1(c_3(c_1(c_3(c_0(c_2(c_1(c_3(c_1(c_2(c_3(c_1(c_3(c_3(c_1(z0)))))))))))))))))) -> 2(3(3(1(3(1(3(3(2(3(1(1(2(3(2(1(0(1(z0))))))))))))))))))
   2(c_1(c_0(c_2(c_0(c_1(c_0(c_3(c_2(c_1(c_3(c_1(c_1(c_3(c_2(c_2(c_1(c_0(z0)))))))))))))))))) -> 2(3(1(2(3(2(2(1(2(0(0(1(0(3(1(1(1(0(z0))))))))))))))))))
   2(c_1(c_2(c_2(c_1(c_0(c_1(c_3(c_0(c_1(c_1(c_0(c_0(c_3(c_3(c_2(c_2(c_3(z0)))))))))))))))))) -> 2(0(3(1(0(1(3(1(3(2(2(2(2(0(1(1(0(3(z0))))))))))))))))))
   2(c_2(c_1(c_2(c_0(c_1(c_3(c_0(c_1(c_1(c_1(c_1(c_2(c_2(c_0(c_0(c_2(c_2(z0)))))))))))))))))) -> 2(0(0(1(1(0(2(2(3(1(2(2(1(2(1(1(0(2(z0))))))))))))))))))
   2(c_2(c_1(c_2(c_2(c_2(c_3(c_2(c_0(c_3(c_3(c_0(c_1(c_2(c_0(c_2(c_3(c_3(z0)))))))))))))))))) -> 2(3(1(3(1(0(2(2(3(0(2(2(2(3(2(2(0(3(z0))))))))))))))))))
   2(c_2(c_3(c_1(c_0(c_3(c_0(c_2(c_1(c_3(c_2(c_2(c_2(c_3(c_3(c_3(c_1(c_2(z0)))))))))))))))))) -> 1(1(0(3(2(2(3(2(2(1(0(2(3(3(2(3(3(2(z0))))))))))))))))))
   2(c_3(c_3(c_1(c_3(c_1(c_0(c_0(c_1(c_1(c_3(c_3(c_3(c_1(c_2(c_2(c_1(c_3(z0)))))))))))))))))) -> 2(2(1(3(3(1(1(0(3(1(1(1(3(3(2(3(0(3(z0))))))))))))))))))
   2(c_0(c_1(c_2(c_0(c_0(c_0(c_2(c_2(c_1(c_3(c_2(c_1(c_0(c_1(c_0(c_2(c_0(z0)))))))))))))))))) -> 2(0(2(0(1(0(1(1(0(1(0(3(2(0(2(2(2(0(z0))))))))))))))))))
   2(c_1(c_3(c_1(c_1(c_2(c_1(c_2(c_3(c_0(c_3(c_2(c_0(c_1(c_0(c_1(c_2(c_1(z0)))))))))))))))))) -> 3(0(0(3(1(1(1(1(1(2(3(2(0(2(2(1(2(1(z0))))))))))))))))))
   2(c_3(c_2(c_1(c_3(c_1(c_2(c_0(c_0(c_1(c_3(c_0(c_1(c_2(c_0(c_3(c_1(c_1(z0)))))))))))))))))) -> 1(2(3(1(1(0(1(3(0(0(0(3(2(3(2(2(1(1(z0))))))))))))))))))
   2(c_3(c_2(c_1(c_2(c_0(c_3(c_0(c_1(c_3(c_3(c_3(c_0(c_2(c_3(c_0(c_0(c_0(z0)))))))))))))))))) -> 3(0(0(3(0(2(3(1(1(3(3(2(2(0(3(0(2(0(z0))))))))))))))))))
   3(z0) -> c_3(z0)
   3(c_0(c_0(c_3(c_1(c_3(c_3(c_2(c_2(c_1(c_1(c_0(c_2(c_1(c_2(c_0(c_2(c_0(z0)))))))))))))))))) -> 3(3(1(0(2(0(2(0(2(0(2(3(1(1(3(1(0(2(z0))))))))))))))))))
   3(c_2(c_0(c_1(c_0(c_0(c_0(c_3(c_1(c_3(c_1(c_3(c_3(c_2(c_0(c_1(c_1(c_1(z0)))))))))))))))))) -> 3(2(0(3(0(1(1(1(0(1(1(0(3(0(3(2(3(1(z0))))))))))))))))))
   3(c_2(c_2(c_3(c_1(c_2(c_2(c_2(c_1(c_3(c_3(c_3(c_0(c_2(c_1(c_3(c_2(c_1(z0)))))))))))))))))) -> 3(2(2(1(2(2(2(3(2(3(3(1(1(3(3(0(2(1(z0))))))))))))))))))
   3(c_0(c_1(c_0(c_2(c_0(c_3(c_1(c_3(c_3(c_1(c_3(c_3(c_0(c_2(c_2(c_3(c_0(z0)))))))))))))))))) -> 3(0(2(1(0(3(0(3(3(0(2(3(3(1(1(2(3(0(z0))))))))))))))))))
   3(c_3(c_2(c_0(c_3(c_1(c_2(c_2(c_3(c_1(c_3(c_2(c_3(c_2(c_2(c_1(c_2(c_0(z0)))))))))))))))))) -> 3(2(1(3(2(3(2(0(3(2(2(3(2(3(1(1(2(0(z0))))))))))))))))))
   3(c_1(c_2(c_3(c_0(c_2(c_2(c_1(c_1(c_3(c_1(c_0(c_0(c_1(c_0(c_2(c_3(c_0(z0)))))))))))))))))) -> 3(1(0(0(0(3(1(1(0(3(1(2(1(2(2(3(2(0(z0))))))))))))))))))
   3(c_0(c_3(c_2(c_0(c_3(c_1(c_1(c_2(c_1(c_3(c_3(c_2(c_1(c_0(c_3(c_2(c_1(z0)))))))))))))))))) -> 2(3(3(0(1(1(1(0(2(1(2(3(3(0(3(3(2(1(z0))))))))))))))))))
   3(c_3(c_0(c_3(c_1(c_3(c_3(c_1(c_2(c_0(c_3(c_2(c_2(c_2(c_3(c_2(c_3(c_0(z0)))))))))))))))))) -> 3(2(3(1(0(3(2(1(2(3(3(3(0(0(3(3(2(2(z0))))))))))))))))))
   3(c_1(c_1(c_3(c_1(c_3(c_3(c_0(c_3(c_1(c_3(c_0(c_2(c_1(c_2(c_2(c_1(c_3(z0)))))))))))))))))) -> 3(3(3(2(0(2(1(1(2(3(1(1(3(0(3(1(1(3(z0))))))))))))))))))
   3(c_3(c_0(c_2(c_3(c_3(c_0(c_0(c_2(c_1(c_0(c_3(c_0(c_1(c_0(c_1(c_0(c_2(z0)))))))))))))))))) -> 2(0(3(3(3(0(2(0(3(1(1(1(0(0(0(0(3(2(z0))))))))))))))))))
   3(c_2(c_0(c_1(c_2(c_1(c_2(c_3(c_2(c_3(c_2(c_0(c_2(c_1(c_2(c_1(c_2(c_0(z0)))))))))))))))))) -> 2(1(1(3(2(0(2(3(1(1(2(2(0(2(3(2(2(0(z0))))))))))))))))))
   3(c_0(c_1(c_3(c_2(c_2(c_3(c_2(c_0(c_1(c_0(c_0(c_3(c_0(c_1(c_0(c_2(c_0(z0)))))))))))))))))) -> 2(3(1(2(0(2(0(3(1(0(0(0(3(2(3(1(0(0(z0))))))))))))))))))
   3(c_0(c_1(c_0(c_0(c_1(c_3(c_0(c_0(c_1(c_3(c_0(c_1(c_2(c_0(c_3(c_3(c_3(z0)))))))))))))))))) -> 1(1(3(0(0(3(1(0(1(0(2(3(0(3(3(0(0(3(z0))))))))))))))))))
   3(c_3(c_1(c_1(c_3(c_0(c_2(c_1(c_3(c_2(c_0(c_1(c_2(c_3(c_3(c_3(c_2(c_3(z0)))))))))))))))))) -> 3(1(0(3(1(1(0(3(3(2(2(2(2(3(1(3(3(3(z0))))))))))))))))))
   3(c_2(c_3(c_3(c_0(c_2(c_3(c_2(c_0(c_2(c_3(c_2(c_2(c_1(c_3(c_3(c_0(c_3(z0)))))))))))))))))) -> 3(3(2(2(3(3(2(3(0(0(3(2(2(1(0(3(2(3(z0))))))))))))))))))
   3(c_2(c_0(c_2(c_2(c_3(c_0(c_0(c_1(c_3(c_0(c_2(c_0(c_0(c_2(c_1(c_3(c_0(z0)))))))))))))))))) -> 2(1(0(0(0(0(3(2(3(0(3(1(3(0(0(2(2(2(z0))))))))))))))))))
   3(c_1(c_3(c_3(c_0(c_2(c_2(c_2(c_0(c_1(c_2(c_0(c_1(c_0(c_1(c_2(c_2(c_0(z0)))))))))))))))))) -> 3(2(3(2(0(3(1(2(1(1(1(2(0(0(0(2(2(0(z0))))))))))))))))))
   3(c_2(c_1(c_2(c_3(c_3(c_1(c_2(c_1(c_1(c_2(c_3(c_0(c_2(c_3(c_1(c_2(c_3(z0)))))))))))))))))) -> 2(0(2(3(1(1(3(3(1(2(2(2(3(3(1(1(2(3(z0))))))))))))))))))
   3(c_3(c_3(c_1(c_3(c_0(c_3(c_3(c_1(c_3(c_0(c_1(c_0(c_0(c_2(c_1(c_2(c_0(z0)))))))))))))))))) -> 3(3(1(1(0(1(3(3(0(3(3(0(2(2(3(1(0(0(z0))))))))))))))))))
   3(c_0(c_3(c_2(c_2(c_3(c_2(c_0(c_3(c_0(c_2(c_2(c_1(c_2(c_0(c_2(c_2(c_0(z0)))))))))))))))))) -> 3(2(1(0(0(3(0(2(3(2(2(0(2(2(3(2(2(0(z0))))))))))))))))))
   3(c_3(c_0(c_1(c_0(c_1(c_3(c_3(c_3(c_2(c_2(c_3(c_3(c_0(c_3(c_3(c_0(c_3(z0)))))))))))))))))) -> 3(3(3(0(2(3(1(0(1(3(2(3(3(3(3(0(0(3(z0))))))))))))))))))
   3(c_3(c_3(c_0(c_1(c_3(c_3(c_1(c_2(c_3(c_0(c_2(c_1(c_3(c_2(c_1(c_0(c_0(z0)))))))))))))))))) -> 3(1(1(1(3(0(1(3(0(2(3(2(3(0(3(2(3(0(z0))))))))))))))))))
   3(c_1(c_2(c_0(c_3(c_0(c_1(c_2(c_0(c_3(c_3(c_2(c_3(c_2(c_2(c_1(c_2(c_3(z0)))))))))))))))))) -> 3(1(3(2(1(1(3(2(0(0(0(3(2(2(2(3(2(3(z0))))))))))))))))))
   3(c_3(c_2(c_1(c_1(c_1(c_1(c_3(c_0(c_0(c_3(c_1(c_2(c_0(c_2(c_2(c_3(c_0(z0)))))))))))))))))) -> 3(3(1(1(0(1(0(2(0(1(1(2(3(3(2(2(3(0(z0))))))))))))))))))
   3(c_0(c_1(c_3(c_2(c_3(c_3(c_2(c_0(c_1(c_1(c_2(c_0(c_1(c_3(c_1(c_3(c_2(z0)))))))))))))))))) -> 3(2(3(3(0(3(1(1(0(2(2(3(1(2(1(1(0(3(z0))))))))))))))))))
   3(c_0(c_2(c_1(c_3(c_3(c_0(c_1(c_1(c_3(c_0(c_1(c_2(c_3(c_1(c_2(c_1(c_3(z0)))))))))))))))))) -> 0(1(1(2(3(2(3(1(0(2(1(1(1(0(3(3(3(3(z0))))))))))))))))))
   3(c_3(c_2(c_0(c_3(c_2(c_1(c_2(c_2(c_1(c_2(c_0(c_1(c_2(c_3(c_3(c_2(c_0(z0)))))))))))))))))) -> 2(0(3(3(1(2(1(2(1(0(2(3(3(2(3(2(2(0(z0))))))))))))))))))
   3(c_2(c_1(c_3(c_2(c_2(c_3(c_3(c_3(c_2(c_1(c_2(c_0(c_1(c_0(c_1(c_1(c_2(z0)))))))))))))))))) -> 2(3(1(1(0(2(2(0(3(3(3(1(2(3(1(2(1(2(z0))))))))))))))))))
   3(c_0(c_3(c_0(c_1(c_3(c_0(c_2(c_0(c_1(c_1(c_0(c_1(c_0(c_2(c_3(c_0(c_3(z0)))))))))))))))))) -> 3(0(0(2(1(1(0(1(0(3(2(1(0(0(3(3(0(3(z0))))))))))))))))))
   3(c_2(c_0(c_2(c_2(c_0(c_0(c_2(c_3(c_0(c_2(c_3(c_0(c_1(c_2(c_2(c_0(c_2(z0)))))))))))))))))) -> 2(0(3(2(2(2(0(3(2(0(2(1(3(2(0(0(0(2(z0))))))))))))))))))
   3(c_2(c_3(c_2(c_1(c_3(c_0(c_1(c_2(c_1(c_2(c_2(c_1(c_0(c_1(c_1(c_0(c_0(z0)))))))))))))))))) -> 3(2(2(0(1(1(1(1(1(0(0(0(3(2(2(1(3(2(z0))))))))))))))))))
   3(c_2(c_3(c_1(c_1(c_1(c_3(c_2(c_2(c_1(c_2(c_1(c_0(c_0(c_3(c_1(c_3(c_3(z0)))))))))))))))))) -> 3(2(3(2(0(3(1(1(2(3(2(0(1(3(1(1(1(3(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_3(c_0(c_0(c_2(c_1(c_0(c_0(c_2(c_1(c_2(c_2(c_3(c_2(c_0(c_0(c_2(c_0(z0)))))))))))))))))) -> c9(0'(2(0(0(0(2(0(3(0(2(2(0(1(1(3(2(2(0(z0)))))))))))))))))), 2'(0(0(0(2(0(3(0(2(2(0(1(1(3(2(2(0(z0))))))))))))))))), 0'(0(0(2(0(3(0(2(2(0(1(1(3(2(2(0(z0)))))))))))))))), 0'(0(2(0(3(0(2(2(0(1(1(3(2(2(0(z0))))))))))))))), 0'(2(0(3(0(2(2(0(1(1(3(2(2(0(z0)))))))))))))), 2'(0(3(0(2(2(0(1(1(3(2(2(0(z0))))))))))))), 0'(3(0(2(2(0(1(1(3(2(2(0(z0)))))))))))), 3'(0(2(2(0(1(1(3(2(2(0(z0))))))))))), 0'(2(2(0(1(1(3(2(2(0(z0)))))))))), 2'(2(0(1(1(3(2(2(0(z0))))))))), 2'(0(1(1(3(2(2(0(z0)))))))), 0'(1(1(3(2(2(0(z0))))))), 1'(1(3(2(2(0(z0)))))), 1'(3(2(2(0(z0))))), 3'(2(2(0(z0)))), 2'(2(0(z0))), 2'(0(z0)), 0'(z0))
   0'(c_0(c_3(c_3(c_0(c_2(c_3(c_0(c_3(c_0(c_2(c_1(c_0(c_0(c_0(c_3(c_3(c_0(z0)))))))))))))))))) -> c10(0'(0(3(1(0(3(0(0(3(3(0(3(3(0(0(2(0(2(z0)))))))))))))))))), 0'(3(1(0(3(0(0(3(3(0(3(3(0(0(2(0(2(z0))))))))))))))))), 3'(1(0(3(0(0(3(3(0(3(3(0(0(2(0(2(z0)))))))))))))))), 1'(0(3(0(0(3(3(0(3(3(0(0(2(0(2(z0))))))))))))))), 0'(3(0(0(3(3(0(3(3(0(0(2(0(2(z0)))))))))))))), 3'(0(0(3(3(0(3(3(0(0(2(0(2(z0))))))))))))), 0'(0(3(3(0(3(3(0(0(2(0(2(z0)))))))))))), 0'(3(3(0(3(3(0(0(2(0(2(z0))))))))))), 3'(3(0(3(3(0(0(2(0(2(z0)))))))))), 3'(0(3(3(0(0(2(0(2(z0))))))))), 0'(3(3(0(0(2(0(2(z0)))))))), 3'(3(0(0(2(0(2(z0))))))), 3'(0(0(2(0(2(z0)))))), 0'(0(2(0(2(z0))))), 0'(2(0(2(z0)))), 2'(0(2(z0))), 0'(2(z0)), 2'(z0))
   0'(c_0(c_1(c_1(c_2(c_1(c_3(c_1(c_3(c_1(c_1(c_1(c_2(c_2(c_1(c_0(c_2(c_2(z0)))))))))))))))))) -> c11(2'(1(1(1(1(0(3(1(1(1(2(0(3(1(0(2(2(2(z0)))))))))))))))))), 1'(1(1(1(0(3(1(1(1(2(0(3(1(0(2(2(2(z0))))))))))))))))), 1'(1(1(0(3(1(1(1(2(0(3(1(0(2(2(2(z0)))))))))))))))), 1'(1(0(3(1(1(1(2(0(3(1(0(2(2(2(z0))))))))))))))), 1'(0(3(1(1(1(2(0(3(1(0(2(2(2(z0)))))))))))))), 0'(3(1(1(1(2(0(3(1(0(2(2(2(z0))))))))))))), 3'(1(1(1(2(0(3(1(0(2(2(2(z0)))))))))))), 1'(1(1(2(0(3(1(0(2(2(2(z0))))))))))), 1'(1(2(0(3(1(0(2(2(2(z0)))))))))), 1'(2(0(3(1(0(2(2(2(z0))))))))), 2'(0(3(1(0(2(2(2(z0)))))))), 0'(3(1(0(2(2(2(z0))))))), 3'(1(0(2(2(2(z0)))))), 1'(0(2(2(2(z0))))), 0'(2(2(2(z0)))), 2'(2(2(z0))), 2'(2(z0)), 2'(z0))
   0'(c_3(c_3(c_0(c_0(c_0(c_1(c_3(c_2(c_2(c_3(c_2(c_1(c_3(c_0(c_0(c_2(c_1(z0)))))))))))))))))) -> c12(0'(2(2(0(0(3(0(2(3(1(0(3(1(0(3(2(3(1(z0)))))))))))))))))), 2'(2(0(0(3(0(2(3(1(0(3(1(0(3(2(3(1(z0))))))))))))))))), 2'(0(0(3(0(2(3(1(0(3(1(0(3(2(3(1(z0)))))))))))))))), 0'(0(3(0(2(3(1(0(3(1(0(3(2(3(1(z0))))))))))))))), 0'(3(0(2(3(1(0(3(1(0(3(2(3(1(z0)))))))))))))), 3'(0(2(3(1(0(3(1(0(3(2(3(1(z0))))))))))))), 0'(2(3(1(0(3(1(0(3(2(3(1(z0)))))))))))), 2'(3(1(0(3(1(0(3(2(3(1(z0))))))))))), 3'(1(0(3(1(0(3(2(3(1(z0)))))))))), 1'(0(3(1(0(3(2(3(1(z0))))))))), 0'(3(1(0(3(2(3(1(z0)))))))), 3'(1(0(3(2(3(1(z0))))))), 1'(0(3(2(3(1(z0)))))), 0'(3(2(3(1(z0))))), 3'(2(3(1(z0)))), 2'(3(1(z0))), 3'(1(z0)), 1'(z0))
   0'(c_0(c_0(c_0(c_1(c_1(c_3(c_2(c_3(c_3(c_0(c_1(c_1(c_2(c_0(c_1(c_3(c_1(z0)))))))))))))))))) -> c13(0'(0(0(1(1(1(0(1(3(3(1(0(3(2(0(2(3(1(z0)))))))))))))))))), 0'(0(1(1(1(0(1(3(3(1(0(3(2(0(2(3(1(z0))))))))))))))))), 0'(1(1(1(0(1(3(3(1(0(3(2(0(2(3(1(z0)))))))))))))))), 1'(1(1(0(1(3(3(1(0(3(2(0(2(3(1(z0))))))))))))))), 1'(1(0(1(3(3(1(0(3(2(0(2(3(1(z0)))))))))))))), 1'(0(1(3(3(1(0(3(2(0(2(3(1(z0))))))))))))), 0'(1(3(3(1(0(3(2(0(2(3(1(z0)))))))))))), 1'(3(3(1(0(3(2(0(2(3(1(z0))))))))))), 3'(3(1(0(3(2(0(2(3(1(z0)))))))))), 3'(1(0(3(2(0(2(3(1(z0))))))))), 1'(0(3(2(0(2(3(1(z0)))))))), 0'(3(2(0(2(3(1(z0))))))), 3'(2(0(2(3(1(z0)))))), 2'(0(2(3(1(z0))))), 0'(2(3(1(z0)))), 2'(3(1(z0))), 3'(1(z0)), 1'(z0))
   0'(c_2(c_1(c_2(c_1(c_1(c_2(c_3(c_2(c_1(c_0(c_0(c_1(c_0(c_0(c_3(c_0(c_3(z0)))))))))))))))))) -> c14(0'(3(2(0(0(1(2(1(0(2(1(1(3(1(0(0(2(3(z0)))))))))))))))))), 3'(2(0(0(1(2(1(0(2(1(1(3(1(0(0(2(3(z0))))))))))))))))), 2'(0(0(1(2(1(0(2(1(1(3(1(0(0(2(3(z0)))))))))))))))), 0'(0(1(2(1(0(2(1(1(3(1(0(0(2(3(z0))))))))))))))), 0'(1(2(1(0(2(1(1(3(1(0(0(2(3(z0)))))))))))))), 1'(2(1(0(2(1(1(3(1(0(0(2(3(z0))))))))))))), 2'(1(0(2(1(1(3(1(0(0(2(3(z0)))))))))))), 1'(0(2(1(1(3(1(0(0(2(3(z0))))))))))), 0'(2(1(1(3(1(0(0(2(3(z0)))))))))), 2'(1(1(3(1(0(0(2(3(z0))))))))), 1'(1(3(1(0(0(2(3(z0)))))))), 1'(3(1(0(0(2(3(z0))))))), 3'(1(0(0(2(3(z0)))))), 1'(0(0(2(3(z0))))), 0'(0(2(3(z0)))), 0'(2(3(z0))), 2'(3(z0)), 3'(z0))
   0'(c_0(c_0(c_2(c_3(c_0(c_0(c_0(c_0(c_0(c_0(c_1(c_1(c_0(c_3(c_0(c_0(c_0(z0)))))))))))))))))) -> c15(0'(0(3(1(0(0(0(0(2(0(0(0(3(1(0(0(0(0(z0)))))))))))))))))), 0'(3(1(0(0(0(0(2(0(0(0(3(1(0(0(0(0(z0))))))))))))))))), 3'(1(0(0(0(0(2(0(0(0(3(1(0(0(0(0(z0)))))))))))))))), 1'(0(0(0(0(2(0(0(0(3(1(0(0(0(0(z0))))))))))))))), 0'(0(0(0(2(0(0(0(3(1(0(0(0(0(z0)))))))))))))), 0'(0(0(2(0(0(0(3(1(0(0(0(0(z0))))))))))))), 0'(0(2(0(0(0(3(1(0(0(0(0(z0)))))))))))), 0'(2(0(0(0(3(1(0(0(0(0(z0))))))))))), 2'(0(0(0(3(1(0(0(0(0(z0)))))))))), 0'(0(0(3(1(0(0(0(0(z0))))))))), 0'(0(3(1(0(0(0(0(z0)))))))), 0'(3(1(0(0(0(0(z0))))))), 3'(1(0(0(0(0(z0)))))), 1'(0(0(0(0(z0))))), 0'(0(0(0(z0)))), 0'(0(0(z0))), 0'(0(z0)), 0'(z0))
   0'(c_3(c_2(c_0(c_3(c_0(c_0(c_1(c_2(c_1(c_2(c_0(c_1(c_2(c_1(c_3(c_0(c_0(z0)))))))))))))))))) -> c16(0'(2(2(0(3(3(1(0(0(3(0(2(1(1(0(1(2(0(z0)))))))))))))))))), 2'(2(0(3(3(1(0(0(3(0(2(1(1(0(1(2(0(z0))))))))))))))))), 2'(0(3(3(1(0(0(3(0(2(1(1(0(1(2(0(z0)))))))))))))))), 0'(3(3(1(0(0(3(0(2(1(1(0(1(2(0(z0))))))))))))))), 3'(3(1(0(0(3(0(2(1(1(0(1(2(0(z0)))))))))))))), 3'(1(0(0(3(0(2(1(1(0(1(2(0(z0))))))))))))), 1'(0(0(3(0(2(1(1(0(1(2(0(z0)))))))))))), 0'(0(3(0(2(1(1(0(1(2(0(z0))))))))))), 0'(3(0(2(1(1(0(1(2(0(z0)))))))))), 3'(0(2(1(1(0(1(2(0(z0))))))))), 0'(2(1(1(0(1(2(0(z0)))))))), 2'(1(1(0(1(2(0(z0))))))), 1'(1(0(1(2(0(z0)))))), 1'(0(1(2(0(z0))))), 0'(1(2(0(z0)))), 1'(2(0(z0))), 2'(0(z0)), 0'(z0))
   0'(c_2(c_0(c_2(c_1(c_1(c_2(c_1(c_2(c_0(c_0(c_3(c_2(c_2(c_3(c_0(c_0(c_3(z0)))))))))))))))))) -> c17(0'(3(2(2(0(2(2(2(2(0(3(0(1(0(1(1(0(3(z0)))))))))))))))))), 3'(2(2(0(2(2(2(2(0(3(0(1(0(1(1(0(3(z0))))))))))))))))), 2'(2(0(2(2(2(2(0(3(0(1(0(1(1(0(3(z0)))))))))))))))), 2'(0(2(2(2(2(0(3(0(1(0(1(1(0(3(z0))))))))))))))), 0'(2(2(2(2(0(3(0(1(0(1(1(0(3(z0)))))))))))))), 2'(2(2(2(0(3(0(1(0(1(1(0(3(z0))))))))))))), 2'(2(2(0(3(0(1(0(1(1(0(3(z0)))))))))))), 2'(2(0(3(0(1(0(1(1(0(3(z0))))))))))), 2'(0(3(0(1(0(1(1(0(3(z0)))))))))), 0'(3(0(1(0(1(1(0(3(z0))))))))), 3'(0(1(0(1(1(0(3(z0)))))))), 0'(1(0(1(1(0(3(z0))))))), 1'(0(1(1(0(3(z0)))))), 0'(1(1(0(3(z0))))), 1'(1(0(3(z0)))), 1'(0(3(z0))), 0'(3(z0)), 3'(z0))
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   3'(c_3(c_2(c_0(c_3(c_2(c_1(c_2(c_2(c_1(c_2(c_0(c_1(c_2(c_3(c_3(c_2(c_0(z0)))))))))))))))))) -> c86(2'(0(3(3(1(2(1(2(1(0(2(3(3(2(3(2(2(0(z0)))))))))))))))))), 0'(3(3(1(2(1(2(1(0(2(3(3(2(3(2(2(0(z0))))))))))))))))), 3'(3(1(2(1(2(1(0(2(3(3(2(3(2(2(0(z0)))))))))))))))), 3'(1(2(1(2(1(0(2(3(3(2(3(2(2(0(z0))))))))))))))), 1'(2(1(2(1(0(2(3(3(2(3(2(2(0(z0)))))))))))))), 2'(1(2(1(0(2(3(3(2(3(2(2(0(z0))))))))))))), 1'(2(1(0(2(3(3(2(3(2(2(0(z0)))))))))))), 2'(1(0(2(3(3(2(3(2(2(0(z0))))))))))), 1'(0(2(3(3(2(3(2(2(0(z0)))))))))), 0'(2(3(3(2(3(2(2(0(z0))))))))), 2'(3(3(2(3(2(2(0(z0)))))))), 3'(3(2(3(2(2(0(z0))))))), 3'(2(3(2(2(0(z0)))))), 2'(3(2(2(0(z0))))), 3'(2(2(0(z0)))), 2'(2(0(z0))), 2'(0(z0)), 0'(z0))
   3'(c_2(c_1(c_3(c_2(c_2(c_3(c_3(c_3(c_2(c_1(c_2(c_0(c_1(c_0(c_1(c_1(c_2(z0)))))))))))))))))) -> c87(2'(3(1(1(0(2(2(0(3(3(3(1(2(3(1(2(1(2(z0)))))))))))))))))), 3'(1(1(0(2(2(0(3(3(3(1(2(3(1(2(1(2(z0))))))))))))))))), 1'(1(0(2(2(0(3(3(3(1(2(3(1(2(1(2(z0)))))))))))))))), 1'(0(2(2(0(3(3(3(1(2(3(1(2(1(2(z0))))))))))))))), 0'(2(2(0(3(3(3(1(2(3(1(2(1(2(z0)))))))))))))), 2'(2(0(3(3(3(1(2(3(1(2(1(2(z0))))))))))))), 2'(0(3(3(3(1(2(3(1(2(1(2(z0)))))))))))), 0'(3(3(3(1(2(3(1(2(1(2(z0))))))))))), 3'(3(3(1(2(3(1(2(1(2(z0)))))))))), 3'(3(1(2(3(1(2(1(2(z0))))))))), 3'(1(2(3(1(2(1(2(z0)))))))), 1'(2(3(1(2(1(2(z0))))))), 2'(3(1(2(1(2(z0)))))), 3'(1(2(1(2(z0))))), 1'(2(1(2(z0)))), 2'(1(2(z0))), 1'(2(z0)), 2'(z0))
   3'(c_0(c_3(c_0(c_1(c_3(c_0(c_2(c_0(c_1(c_1(c_0(c_1(c_0(c_2(c_3(c_0(c_3(z0)))))))))))))))))) -> c88(3'(0(0(2(1(1(0(1(0(3(2(1(0(0(3(3(0(3(z0)))))))))))))))))), 0'(0(2(1(1(0(1(0(3(2(1(0(0(3(3(0(3(z0))))))))))))))))), 0'(2(1(1(0(1(0(3(2(1(0(0(3(3(0(3(z0)))))))))))))))), 2'(1(1(0(1(0(3(2(1(0(0(3(3(0(3(z0))))))))))))))), 1'(1(0(1(0(3(2(1(0(0(3(3(0(3(z0)))))))))))))), 1'(0(1(0(3(2(1(0(0(3(3(0(3(z0))))))))))))), 0'(1(0(3(2(1(0(0(3(3(0(3(z0)))))))))))), 1'(0(3(2(1(0(0(3(3(0(3(z0))))))))))), 0'(3(2(1(0(0(3(3(0(3(z0)))))))))), 3'(2(1(0(0(3(3(0(3(z0))))))))), 2'(1(0(0(3(3(0(3(z0)))))))), 1'(0(0(3(3(0(3(z0))))))), 0'(0(3(3(0(3(z0)))))), 0'(3(3(0(3(z0))))), 3'(3(0(3(z0)))), 3'(0(3(z0))), 0'(3(z0)), 3'(z0))
   3'(c_2(c_0(c_2(c_2(c_0(c_0(c_2(c_3(c_0(c_2(c_3(c_0(c_1(c_2(c_2(c_0(c_2(z0)))))))))))))))))) -> c89(2'(0(3(2(2(2(0(3(2(0(2(1(3(2(0(0(0(2(z0)))))))))))))))))), 0'(3(2(2(2(0(3(2(0(2(1(3(2(0(0(0(2(z0))))))))))))))))), 3'(2(2(2(0(3(2(0(2(1(3(2(0(0(0(2(z0)))))))))))))))), 2'(2(2(0(3(2(0(2(1(3(2(0(0(0(2(z0))))))))))))))), 2'(2(0(3(2(0(2(1(3(2(0(0(0(2(z0)))))))))))))), 2'(0(3(2(0(2(1(3(2(0(0(0(2(z0))))))))))))), 0'(3(2(0(2(1(3(2(0(0(0(2(z0)))))))))))), 3'(2(0(2(1(3(2(0(0(0(2(z0))))))))))), 2'(0(2(1(3(2(0(0(0(2(z0)))))))))), 0'(2(1(3(2(0(0(0(2(z0))))))))), 2'(1(3(2(0(0(0(2(z0)))))))), 1'(3(2(0(0(0(2(z0))))))), 3'(2(0(0(0(2(z0)))))), 2'(0(0(0(2(z0))))), 0'(0(0(2(z0)))), 0'(0(2(z0))), 0'(2(z0)), 2'(z0))
   3'(c_2(c_3(c_2(c_1(c_3(c_0(c_1(c_2(c_1(c_2(c_2(c_1(c_0(c_1(c_1(c_0(c_0(z0)))))))))))))))))) -> c90(3'(2(2(0(1(1(1(1(1(0(0(0(3(2(2(1(3(2(z0)))))))))))))))))), 2'(2(0(1(1(1(1(1(0(0(0(3(2(2(1(3(2(z0))))))))))))))))), 2'(0(1(1(1(1(1(0(0(0(3(2(2(1(3(2(z0)))))))))))))))), 0'(1(1(1(1(1(0(0(0(3(2(2(1(3(2(z0))))))))))))))), 1'(1(1(1(1(0(0(0(3(2(2(1(3(2(z0)))))))))))))), 1'(1(1(1(0(0(0(3(2(2(1(3(2(z0))))))))))))), 1'(1(1(0(0(0(3(2(2(1(3(2(z0)))))))))))), 1'(1(0(0(0(3(2(2(1(3(2(z0))))))))))), 1'(0(0(0(3(2(2(1(3(2(z0)))))))))), 0'(0(0(3(2(2(1(3(2(z0))))))))), 0'(0(3(2(2(1(3(2(z0)))))))), 0'(3(2(2(1(3(2(z0))))))), 3'(2(2(1(3(2(z0)))))), 2'(2(1(3(2(z0))))), 2'(1(3(2(z0)))), 1'(3(2(z0))), 3'(2(z0)), 2'(z0))
   3'(c_2(c_3(c_1(c_1(c_1(c_3(c_2(c_2(c_1(c_2(c_1(c_0(c_0(c_3(c_1(c_3(c_3(z0)))))))))))))))))) -> c91(3'(2(3(2(0(3(1(1(2(3(2(0(1(3(1(1(1(3(z0)))))))))))))))))), 2'(3(2(0(3(1(1(2(3(2(0(1(3(1(1(1(3(z0))))))))))))))))), 3'(2(0(3(1(1(2(3(2(0(1(3(1(1(1(3(z0)))))))))))))))), 2'(0(3(1(1(2(3(2(0(1(3(1(1(1(3(z0))))))))))))))), 0'(3(1(1(2(3(2(0(1(3(1(1(1(3(z0)))))))))))))), 3'(1(1(2(3(2(0(1(3(1(1(1(3(z0))))))))))))), 1'(1(2(3(2(0(1(3(1(1(1(3(z0)))))))))))), 1'(2(3(2(0(1(3(1(1(1(3(z0))))))))))), 2'(3(2(0(1(3(1(1(1(3(z0)))))))))), 3'(2(0(1(3(1(1(1(3(z0))))))))), 2'(0(1(3(1(1(1(3(z0)))))))), 0'(1(3(1(1(1(3(z0))))))), 1'(3(1(1(1(3(z0)))))), 3'(1(1(1(3(z0))))), 1'(1(1(3(z0)))), 1'(1(3(z0))), 1'(3(z0)), 3'(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_3(c_0(c_0(c_2(c_1(c_0(c_0(c_2(c_1(c_2(c_2(c_3(c_2(c_0(c_0(c_2(c_0(z0)))))))))))))))))) -> c9(0'(2(0(0(0(2(0(3(0(2(2(0(1(1(3(2(2(0(z0)))))))))))))))))), 2'(0(0(0(2(0(3(0(2(2(0(1(1(3(2(2(0(z0))))))))))))))))), 0'(0(0(2(0(3(0(2(2(0(1(1(3(2(2(0(z0)))))))))))))))), 0'(0(2(0(3(0(2(2(0(1(1(3(2(2(0(z0))))))))))))))), 0'(2(0(3(0(2(2(0(1(1(3(2(2(0(z0)))))))))))))), 2'(0(3(0(2(2(0(1(1(3(2(2(0(z0))))))))))))), 0'(3(0(2(2(0(1(1(3(2(2(0(z0)))))))))))), 3'(0(2(2(0(1(1(3(2(2(0(z0))))))))))), 0'(2(2(0(1(1(3(2(2(0(z0)))))))))), 2'(2(0(1(1(3(2(2(0(z0))))))))), 2'(0(1(1(3(2(2(0(z0)))))))), 0'(1(1(3(2(2(0(z0))))))), 1'(1(3(2(2(0(z0)))))), 1'(3(2(2(0(z0))))), 3'(2(2(0(z0)))), 2'(2(0(z0))), 2'(0(z0)), 0'(z0))
   0'(c_0(c_3(c_3(c_0(c_2(c_3(c_0(c_3(c_0(c_2(c_1(c_0(c_0(c_0(c_3(c_3(c_0(z0)))))))))))))))))) -> c10(0'(0(3(1(0(3(0(0(3(3(0(3(3(0(0(2(0(2(z0)))))))))))))))))), 0'(3(1(0(3(0(0(3(3(0(3(3(0(0(2(0(2(z0))))))))))))))))), 3'(1(0(3(0(0(3(3(0(3(3(0(0(2(0(2(z0)))))))))))))))), 1'(0(3(0(0(3(3(0(3(3(0(0(2(0(2(z0))))))))))))))), 0'(3(0(0(3(3(0(3(3(0(0(2(0(2(z0)))))))))))))), 3'(0(0(3(3(0(3(3(0(0(2(0(2(z0))))))))))))), 0'(0(3(3(0(3(3(0(0(2(0(2(z0)))))))))))), 0'(3(3(0(3(3(0(0(2(0(2(z0))))))))))), 3'(3(0(3(3(0(0(2(0(2(z0)))))))))), 3'(0(3(3(0(0(2(0(2(z0))))))))), 0'(3(3(0(0(2(0(2(z0)))))))), 3'(3(0(0(2(0(2(z0))))))), 3'(0(0(2(0(2(z0)))))), 0'(0(2(0(2(z0))))), 0'(2(0(2(z0)))), 2'(0(2(z0))), 0'(2(z0)), 2'(z0))
   0'(c_0(c_1(c_1(c_2(c_1(c_3(c_1(c_3(c_1(c_1(c_1(c_2(c_2(c_1(c_0(c_2(c_2(z0)))))))))))))))))) -> c11(2'(1(1(1(1(0(3(1(1(1(2(0(3(1(0(2(2(2(z0)))))))))))))))))), 1'(1(1(1(0(3(1(1(1(2(0(3(1(0(2(2(2(z0))))))))))))))))), 1'(1(1(0(3(1(1(1(2(0(3(1(0(2(2(2(z0)))))))))))))))), 1'(1(0(3(1(1(1(2(0(3(1(0(2(2(2(z0))))))))))))))), 1'(0(3(1(1(1(2(0(3(1(0(2(2(2(z0)))))))))))))), 0'(3(1(1(1(2(0(3(1(0(2(2(2(z0))))))))))))), 3'(1(1(1(2(0(3(1(0(2(2(2(z0)))))))))))), 1'(1(1(2(0(3(1(0(2(2(2(z0))))))))))), 1'(1(2(0(3(1(0(2(2(2(z0)))))))))), 1'(2(0(3(1(0(2(2(2(z0))))))))), 2'(0(3(1(0(2(2(2(z0)))))))), 0'(3(1(0(2(2(2(z0))))))), 3'(1(0(2(2(2(z0)))))), 1'(0(2(2(2(z0))))), 0'(2(2(2(z0)))), 2'(2(2(z0))), 2'(2(z0)), 2'(z0))
   0'(c_3(c_3(c_0(c_0(c_0(c_1(c_3(c_2(c_2(c_3(c_2(c_1(c_3(c_0(c_0(c_2(c_1(z0)))))))))))))))))) -> c12(0'(2(2(0(0(3(0(2(3(1(0(3(1(0(3(2(3(1(z0)))))))))))))))))), 2'(2(0(0(3(0(2(3(1(0(3(1(0(3(2(3(1(z0))))))))))))))))), 2'(0(0(3(0(2(3(1(0(3(1(0(3(2(3(1(z0)))))))))))))))), 0'(0(3(0(2(3(1(0(3(1(0(3(2(3(1(z0))))))))))))))), 0'(3(0(2(3(1(0(3(1(0(3(2(3(1(z0)))))))))))))), 3'(0(2(3(1(0(3(1(0(3(2(3(1(z0))))))))))))), 0'(2(3(1(0(3(1(0(3(2(3(1(z0)))))))))))), 2'(3(1(0(3(1(0(3(2(3(1(z0))))))))))), 3'(1(0(3(1(0(3(2(3(1(z0)))))))))), 1'(0(3(1(0(3(2(3(1(z0))))))))), 0'(3(1(0(3(2(3(1(z0)))))))), 3'(1(0(3(2(3(1(z0))))))), 1'(0(3(2(3(1(z0)))))), 0'(3(2(3(1(z0))))), 3'(2(3(1(z0)))), 2'(3(1(z0))), 3'(1(z0)), 1'(z0))
   0'(c_0(c_0(c_0(c_1(c_1(c_3(c_2(c_3(c_3(c_0(c_1(c_1(c_2(c_0(c_1(c_3(c_1(z0)))))))))))))))))) -> c13(0'(0(0(1(1(1(0(1(3(3(1(0(3(2(0(2(3(1(z0)))))))))))))))))), 0'(0(1(1(1(0(1(3(3(1(0(3(2(0(2(3(1(z0))))))))))))))))), 0'(1(1(1(0(1(3(3(1(0(3(2(0(2(3(1(z0)))))))))))))))), 1'(1(1(0(1(3(3(1(0(3(2(0(2(3(1(z0))))))))))))))), 1'(1(0(1(3(3(1(0(3(2(0(2(3(1(z0)))))))))))))), 1'(0(1(3(3(1(0(3(2(0(2(3(1(z0))))))))))))), 0'(1(3(3(1(0(3(2(0(2(3(1(z0)))))))))))), 1'(3(3(1(0(3(2(0(2(3(1(z0))))))))))), 3'(3(1(0(3(2(0(2(3(1(z0)))))))))), 3'(1(0(3(2(0(2(3(1(z0))))))))), 1'(0(3(2(0(2(3(1(z0)))))))), 0'(3(2(0(2(3(1(z0))))))), 3'(2(0(2(3(1(z0)))))), 2'(0(2(3(1(z0))))), 0'(2(3(1(z0)))), 2'(3(1(z0))), 3'(1(z0)), 1'(z0))
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   3'(c_1(c_2(c_0(c_3(c_0(c_1(c_2(c_0(c_3(c_3(c_2(c_3(c_2(c_2(c_1(c_2(c_3(z0)))))))))))))))))) -> c82(3'(1(3(2(1(1(3(2(0(0(0(3(2(2(2(3(2(3(z0)))))))))))))))))), 1'(3(2(1(1(3(2(0(0(0(3(2(2(2(3(2(3(z0))))))))))))))))), 3'(2(1(1(3(2(0(0(0(3(2(2(2(3(2(3(z0)))))))))))))))), 2'(1(1(3(2(0(0(0(3(2(2(2(3(2(3(z0))))))))))))))), 1'(1(3(2(0(0(0(3(2(2(2(3(2(3(z0)))))))))))))), 1'(3(2(0(0(0(3(2(2(2(3(2(3(z0))))))))))))), 3'(2(0(0(0(3(2(2(2(3(2(3(z0)))))))))))), 2'(0(0(0(3(2(2(2(3(2(3(z0))))))))))), 0'(0(0(3(2(2(2(3(2(3(z0)))))))))), 0'(0(3(2(2(2(3(2(3(z0))))))))), 0'(3(2(2(2(3(2(3(z0)))))))), 3'(2(2(2(3(2(3(z0))))))), 2'(2(2(3(2(3(z0)))))), 2'(2(3(2(3(z0))))), 2'(3(2(3(z0)))), 3'(2(3(z0))), 2'(3(z0)), 3'(z0))
   3'(c_3(c_2(c_1(c_1(c_1(c_1(c_3(c_0(c_0(c_3(c_1(c_2(c_0(c_2(c_2(c_3(c_0(z0)))))))))))))))))) -> c83(3'(3(1(1(0(1(0(2(0(1(1(2(3(3(2(2(3(0(z0)))))))))))))))))), 3'(1(1(0(1(0(2(0(1(1(2(3(3(2(2(3(0(z0))))))))))))))))), 1'(1(0(1(0(2(0(1(1(2(3(3(2(2(3(0(z0)))))))))))))))), 1'(0(1(0(2(0(1(1(2(3(3(2(2(3(0(z0))))))))))))))), 0'(1(0(2(0(1(1(2(3(3(2(2(3(0(z0)))))))))))))), 1'(0(2(0(1(1(2(3(3(2(2(3(0(z0))))))))))))), 0'(2(0(1(1(2(3(3(2(2(3(0(z0)))))))))))), 2'(0(1(1(2(3(3(2(2(3(0(z0))))))))))), 0'(1(1(2(3(3(2(2(3(0(z0)))))))))), 1'(1(2(3(3(2(2(3(0(z0))))))))), 1'(2(3(3(2(2(3(0(z0)))))))), 2'(3(3(2(2(3(0(z0))))))), 3'(3(2(2(3(0(z0)))))), 3'(2(2(3(0(z0))))), 2'(2(3(0(z0)))), 2'(3(0(z0))), 3'(0(z0)), 0'(z0))
   3'(c_0(c_1(c_3(c_2(c_3(c_3(c_2(c_0(c_1(c_1(c_2(c_0(c_1(c_3(c_1(c_3(c_2(z0)))))))))))))))))) -> c84(3'(2(3(3(0(3(1(1(0(2(2(3(1(2(1(1(0(3(z0)))))))))))))))))), 2'(3(3(0(3(1(1(0(2(2(3(1(2(1(1(0(3(z0))))))))))))))))), 3'(3(0(3(1(1(0(2(2(3(1(2(1(1(0(3(z0)))))))))))))))), 3'(0(3(1(1(0(2(2(3(1(2(1(1(0(3(z0))))))))))))))), 0'(3(1(1(0(2(2(3(1(2(1(1(0(3(z0)))))))))))))), 3'(1(1(0(2(2(3(1(2(1(1(0(3(z0))))))))))))), 1'(1(0(2(2(3(1(2(1(1(0(3(z0)))))))))))), 1'(0(2(2(3(1(2(1(1(0(3(z0))))))))))), 0'(2(2(3(1(2(1(1(0(3(z0)))))))))), 2'(2(3(1(2(1(1(0(3(z0))))))))), 2'(3(1(2(1(1(0(3(z0)))))))), 3'(1(2(1(1(0(3(z0))))))), 1'(2(1(1(0(3(z0)))))), 2'(1(1(0(3(z0))))), 1'(1(0(3(z0)))), 1'(0(3(z0))), 0'(3(z0)), 3'(z0))
   3'(c_0(c_2(c_1(c_3(c_3(c_0(c_1(c_1(c_3(c_0(c_1(c_2(c_3(c_1(c_2(c_1(c_3(z0)))))))))))))))))) -> c85(0'(1(1(2(3(2(3(1(0(2(1(1(1(0(3(3(3(3(z0)))))))))))))))))), 1'(1(2(3(2(3(1(0(2(1(1(1(0(3(3(3(3(z0))))))))))))))))), 1'(2(3(2(3(1(0(2(1(1(1(0(3(3(3(3(z0)))))))))))))))), 2'(3(2(3(1(0(2(1(1(1(0(3(3(3(3(z0))))))))))))))), 3'(2(3(1(0(2(1(1(1(0(3(3(3(3(z0)))))))))))))), 2'(3(1(0(2(1(1(1(0(3(3(3(3(z0))))))))))))), 3'(1(0(2(1(1(1(0(3(3(3(3(z0)))))))))))), 1'(0(2(1(1(1(0(3(3(3(3(z0))))))))))), 0'(2(1(1(1(0(3(3(3(3(z0)))))))))), 2'(1(1(1(0(3(3(3(3(z0))))))))), 1'(1(1(0(3(3(3(3(z0)))))))), 1'(1(0(3(3(3(3(z0))))))), 1'(0(3(3(3(3(z0)))))), 0'(3(3(3(3(z0))))), 3'(3(3(3(z0)))), 3'(3(3(z0))), 3'(3(z0)), 3'(z0))
   3'(c_3(c_2(c_0(c_3(c_2(c_1(c_2(c_2(c_1(c_2(c_0(c_1(c_2(c_3(c_3(c_2(c_0(z0)))))))))))))))))) -> c86(2'(0(3(3(1(2(1(2(1(0(2(3(3(2(3(2(2(0(z0)))))))))))))))))), 0'(3(3(1(2(1(2(1(0(2(3(3(2(3(2(2(0(z0))))))))))))))))), 3'(3(1(2(1(2(1(0(2(3(3(2(3(2(2(0(z0)))))))))))))))), 3'(1(2(1(2(1(0(2(3(3(2(3(2(2(0(z0))))))))))))))), 1'(2(1(2(1(0(2(3(3(2(3(2(2(0(z0)))))))))))))), 2'(1(2(1(0(2(3(3(2(3(2(2(0(z0))))))))))))), 1'(2(1(0(2(3(3(2(3(2(2(0(z0)))))))))))), 2'(1(0(2(3(3(2(3(2(2(0(z0))))))))))), 1'(0(2(3(3(2(3(2(2(0(z0)))))))))), 0'(2(3(3(2(3(2(2(0(z0))))))))), 2'(3(3(2(3(2(2(0(z0)))))))), 3'(3(2(3(2(2(0(z0))))))), 3'(2(3(2(2(0(z0)))))), 2'(3(2(2(0(z0))))), 3'(2(2(0(z0)))), 2'(2(0(z0))), 2'(0(z0)), 0'(z0))
   3'(c_2(c_1(c_3(c_2(c_2(c_3(c_3(c_3(c_2(c_1(c_2(c_0(c_1(c_0(c_1(c_1(c_2(z0)))))))))))))))))) -> c87(2'(3(1(1(0(2(2(0(3(3(3(1(2(3(1(2(1(2(z0)))))))))))))))))), 3'(1(1(0(2(2(0(3(3(3(1(2(3(1(2(1(2(z0))))))))))))))))), 1'(1(0(2(2(0(3(3(3(1(2(3(1(2(1(2(z0)))))))))))))))), 1'(0(2(2(0(3(3(3(1(2(3(1(2(1(2(z0))))))))))))))), 0'(2(2(0(3(3(3(1(2(3(1(2(1(2(z0)))))))))))))), 2'(2(0(3(3(3(1(2(3(1(2(1(2(z0))))))))))))), 2'(0(3(3(3(1(2(3(1(2(1(2(z0)))))))))))), 0'(3(3(3(1(2(3(1(2(1(2(z0))))))))))), 3'(3(3(1(2(3(1(2(1(2(z0)))))))))), 3'(3(1(2(3(1(2(1(2(z0))))))))), 3'(1(2(3(1(2(1(2(z0)))))))), 1'(2(3(1(2(1(2(z0))))))), 2'(3(1(2(1(2(z0)))))), 3'(1(2(1(2(z0))))), 1'(2(1(2(z0)))), 2'(1(2(z0))), 1'(2(z0)), 2'(z0))
   3'(c_0(c_3(c_0(c_1(c_3(c_0(c_2(c_0(c_1(c_1(c_0(c_1(c_0(c_2(c_3(c_0(c_3(z0)))))))))))))))))) -> c88(3'(0(0(2(1(1(0(1(0(3(2(1(0(0(3(3(0(3(z0)))))))))))))))))), 0'(0(2(1(1(0(1(0(3(2(1(0(0(3(3(0(3(z0))))))))))))))))), 0'(2(1(1(0(1(0(3(2(1(0(0(3(3(0(3(z0)))))))))))))))), 2'(1(1(0(1(0(3(2(1(0(0(3(3(0(3(z0))))))))))))))), 1'(1(0(1(0(3(2(1(0(0(3(3(0(3(z0)))))))))))))), 1'(0(1(0(3(2(1(0(0(3(3(0(3(z0))))))))))))), 0'(1(0(3(2(1(0(0(3(3(0(3(z0)))))))))))), 1'(0(3(2(1(0(0(3(3(0(3(z0))))))))))), 0'(3(2(1(0(0(3(3(0(3(z0)))))))))), 3'(2(1(0(0(3(3(0(3(z0))))))))), 2'(1(0(0(3(3(0(3(z0)))))))), 1'(0(0(3(3(0(3(z0))))))), 0'(0(3(3(0(3(z0)))))), 0'(3(3(0(3(z0))))), 3'(3(0(3(z0)))), 3'(0(3(z0))), 0'(3(z0)), 3'(z0))
   3'(c_2(c_0(c_2(c_2(c_0(c_0(c_2(c_3(c_0(c_2(c_3(c_0(c_1(c_2(c_2(c_0(c_2(z0)))))))))))))))))) -> c89(2'(0(3(2(2(2(0(3(2(0(2(1(3(2(0(0(0(2(z0)))))))))))))))))), 0'(3(2(2(2(0(3(2(0(2(1(3(2(0(0(0(2(z0))))))))))))))))), 3'(2(2(2(0(3(2(0(2(1(3(2(0(0(0(2(z0)))))))))))))))), 2'(2(2(0(3(2(0(2(1(3(2(0(0(0(2(z0))))))))))))))), 2'(2(0(3(2(0(2(1(3(2(0(0(0(2(z0)))))))))))))), 2'(0(3(2(0(2(1(3(2(0(0(0(2(z0))))))))))))), 0'(3(2(0(2(1(3(2(0(0(0(2(z0)))))))))))), 3'(2(0(2(1(3(2(0(0(0(2(z0))))))))))), 2'(0(2(1(3(2(0(0(0(2(z0)))))))))), 0'(2(1(3(2(0(0(0(2(z0))))))))), 2'(1(3(2(0(0(0(2(z0)))))))), 1'(3(2(0(0(0(2(z0))))))), 3'(2(0(0(0(2(z0)))))), 2'(0(0(0(2(z0))))), 0'(0(0(2(z0)))), 0'(0(2(z0))), 0'(2(z0)), 2'(z0))
   3'(c_2(c_3(c_2(c_1(c_3(c_0(c_1(c_2(c_1(c_2(c_2(c_1(c_0(c_1(c_1(c_0(c_0(z0)))))))))))))))))) -> c90(3'(2(2(0(1(1(1(1(1(0(0(0(3(2(2(1(3(2(z0)))))))))))))))))), 2'(2(0(1(1(1(1(1(0(0(0(3(2(2(1(3(2(z0))))))))))))))))), 2'(0(1(1(1(1(1(0(0(0(3(2(2(1(3(2(z0)))))))))))))))), 0'(1(1(1(1(1(0(0(0(3(2(2(1(3(2(z0))))))))))))))), 1'(1(1(1(1(0(0(0(3(2(2(1(3(2(z0)))))))))))))), 1'(1(1(1(0(0(0(3(2(2(1(3(2(z0))))))))))))), 1'(1(1(0(0(0(3(2(2(1(3(2(z0)))))))))))), 1'(1(0(0(0(3(2(2(1(3(2(z0))))))))))), 1'(0(0(0(3(2(2(1(3(2(z0)))))))))), 0'(0(0(3(2(2(1(3(2(z0))))))))), 0'(0(3(2(2(1(3(2(z0)))))))), 0'(3(2(2(1(3(2(z0))))))), 3'(2(2(1(3(2(z0)))))), 2'(2(1(3(2(z0))))), 2'(1(3(2(z0)))), 1'(3(2(z0))), 3'(2(z0)), 2'(z0))
   3'(c_2(c_3(c_1(c_1(c_1(c_3(c_2(c_2(c_1(c_2(c_1(c_0(c_0(c_3(c_1(c_3(c_3(z0)))))))))))))))))) -> c91(3'(2(3(2(0(3(1(1(2(3(2(0(1(3(1(1(1(3(z0)))))))))))))))))), 2'(3(2(0(3(1(1(2(3(2(0(1(3(1(1(1(3(z0))))))))))))))))), 3'(2(0(3(1(1(2(3(2(0(1(3(1(1(1(3(z0)))))))))))))))), 2'(0(3(1(1(2(3(2(0(1(3(1(1(1(3(z0))))))))))))))), 0'(3(1(1(2(3(2(0(1(3(1(1(1(3(z0)))))))))))))), 3'(1(1(2(3(2(0(1(3(1(1(1(3(z0))))))))))))), 1'(1(2(3(2(0(1(3(1(1(1(3(z0)))))))))))), 1'(2(3(2(0(1(3(1(1(1(3(z0))))))))))), 2'(3(2(0(1(3(1(1(1(3(z0)))))))))), 3'(2(0(1(3(1(1(1(3(z0))))))))), 2'(0(1(3(1(1(1(3(z0)))))))), 0'(1(3(1(1(1(3(z0))))))), 1'(3(1(1(1(3(z0)))))), 3'(1(1(1(3(z0))))), 1'(1(1(3(z0)))), 1'(1(3(z0))), 1'(3(z0)), 3'(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, c21_18, c22_18, c23_18, c24_18, c25_18, c26_18, c27_18, c28_18, c29_18, c30_18, c31_18, c32_18, c33_18, c34_18, 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_18, c57_18, c58_18, c60_18, c61_18, c62_18, c63_18, c64_18, c65_18, c66_18, c67_18, c68_18, c69_18, c70_18, c71_18, c72_18, c73_18, c74_18, c75_18, c76_18, c77_18, c78_18, c79_18, c80_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_3(c_0(c_0(c_2(c_1(c_0(c_0(c_2(c_1(c_2(c_2(c_3(c_2(c_0(c_0(c_2(c_0(z0)))))))))))))))))) -> 0(2(0(0(0(2(0(3(0(2(2(0(1(1(3(2(2(0(z0))))))))))))))))))
   0(c_0(c_3(c_3(c_0(c_2(c_3(c_0(c_3(c_0(c_2(c_1(c_0(c_0(c_0(c_3(c_3(c_0(z0)))))))))))))))))) -> 0(0(3(1(0(3(0(0(3(3(0(3(3(0(0(2(0(2(z0))))))))))))))))))
   0(c_0(c_1(c_1(c_2(c_1(c_3(c_1(c_3(c_1(c_1(c_1(c_2(c_2(c_1(c_0(c_2(c_2(z0)))))))))))))))))) -> 2(1(1(1(1(0(3(1(1(1(2(0(3(1(0(2(2(2(z0))))))))))))))))))
   0(c_3(c_3(c_0(c_0(c_0(c_1(c_3(c_2(c_2(c_3(c_2(c_1(c_3(c_0(c_0(c_2(c_1(z0)))))))))))))))))) -> 0(2(2(0(0(3(0(2(3(1(0(3(1(0(3(2(3(1(z0))))))))))))))))))
   0(c_0(c_0(c_0(c_1(c_1(c_3(c_2(c_3(c_3(c_0(c_1(c_1(c_2(c_0(c_1(c_3(c_1(z0)))))))))))))))))) -> 0(0(0(1(1(1(0(1(3(3(1(0(3(2(0(2(3(1(z0))))))))))))))))))
   0(c_2(c_1(c_2(c_1(c_1(c_2(c_3(c_2(c_1(c_0(c_0(c_1(c_0(c_0(c_3(c_0(c_3(z0)))))))))))))))))) -> 0(3(2(0(0(1(2(1(0(2(1(1(3(1(0(0(2(3(z0))))))))))))))))))
   0(c_0(c_0(c_2(c_3(c_0(c_0(c_0(c_0(c_0(c_0(c_1(c_1(c_0(c_3(c_0(c_0(c_0(z0)))))))))))))))))) -> 0(0(3(1(0(0(0(0(2(0(0(0(3(1(0(0(0(0(z0))))))))))))))))))
   0(c_3(c_2(c_0(c_3(c_0(c_0(c_1(c_2(c_1(c_2(c_0(c_1(c_2(c_1(c_3(c_0(c_0(z0)))))))))))))))))) -> 0(2(2(0(3(3(1(0(0(3(0(2(1(1(0(1(2(0(z0))))))))))))))))))
   0(c_2(c_0(c_2(c_1(c_1(c_2(c_1(c_2(c_0(c_0(c_3(c_2(c_2(c_3(c_0(c_0(c_3(z0)))))))))))))))))) -> 0(3(2(2(0(2(2(2(2(0(3(0(1(0(1(1(0(3(z0))))))))))))))))))
   0(c_2(c_3(c_1(c_2(c_3(c_2(c_1(c_0(c_1(c_0(c_0(c_3(c_1(c_3(c_1(c_2(c_3(z0)))))))))))))))))) -> 0(2(3(3(1(2(1(1(1(0(2(3(1(0(2(0(3(3(z0))))))))))))))))))
   0(c_2(c_0(c_1(c_3(c_0(c_0(c_1(c_3(c_0(c_2(c_0(c_1(c_3(c_1(c_1(c_3(c_1(z0)))))))))))))))))) -> 0(2(0(1(3(1(1(2(1(0(0(3(3(0(0(1(3(1(z0))))))))))))))))))
   1(z0) -> c_1(z0)
   1(c_0(c_0(c_1(c_0(c_0(c_3(c_3(c_0(c_0(c_2(c_1(c_2(c_1(c_3(c_3(c_1(c_3(z0)))))))))))))))))) -> 1(0(3(0(0(3(3(0(0(2(1(0(3(1(2(3(1(1(z0))))))))))))))))))
   1(c_3(c_3(c_0(c_3(c_2(c_1(c_1(c_1(c_0(c_1(c_3(c_2(c_3(c_1(c_1(c_2(c_1(z0)))))))))))))))))) -> 1(3(1(3(0(1(1(3(2(3(2(2(0(3(1(1(1(1(z0))))))))))))))))))
   1(c_2(c_3(c_1(c_3(c_0(c_1(c_2(c_2(c_0(c_2(c_0(c_1(c_1(c_1(c_1(c_0(c_1(z0)))))))))))))))))) -> 1(2(2(0(1(1(1(1(0(0(3(2(1(0(2(3(1(1(z0))))))))))))))))))
   1(c_0(c_3(c_1(c_2(c_0(c_3(c_3(c_2(c_1(c_2(c_0(c_0(c_1(c_0(c_2(c_1(c_3(z0)))))))))))))))))) -> 1(0(3(3(1(0(2(0(3(1(0(3(2(1(2(2(1(0(z0))))))))))))))))))
   1(c_1(c_3(c_2(c_1(c_0(c_0(c_3(c_3(c_1(c_1(c_3(c_2(c_0(c_1(c_2(c_1(c_1(z0)))))))))))))))))) -> 1(1(2(3(3(0(0(3(3(1(1(1(1(1(0(2(2(1(z0))))))))))))))))))
   1(c_1(c_2(c_0(c_3(c_0(c_2(c_1(c_3(c_3(c_0(c_3(c_3(c_3(c_3(c_3(c_1(c_2(z0)))))))))))))))))) -> 1(0(3(3(0(3(3(1(0(2(3(1(1(3(2(3(2(3(z0))))))))))))))))))
   1(c_3(c_0(c_3(c_0(c_1(c_3(c_1(c_2(c_1(c_0(c_2(c_1(c_1(c_3(c_0(c_1(c_1(z0)))))))))))))))))) -> 1(0(1(0(3(1(3(1(0(1(1(3(2(3(0(2(1(1(z0))))))))))))))))))
   1(c_3(c_3(c_3(c_1(c_2(c_0(c_1(c_2(c_0(c_0(c_2(c_1(c_3(c_3(c_3(c_0(c_2(z0)))))))))))))))))) -> 1(3(1(1(0(3(3(0(2(0(1(3(0(3(2(3(2(2(z0))))))))))))))))))
   1(c_1(c_2(c_1(c_0(c_0(c_3(c_0(c_3(c_1(c_3(c_0(c_1(c_3(c_1(c_3(c_3(c_3(z0)))))))))))))))))) -> 3(0(1(1(1(1(3(0(3(1(1(0(3(0(2(3(3(3(z0))))))))))))))))))
   1(c_3(c_0(c_1(c_3(c_1(c_2(c_1(c_2(c_1(c_2(c_2(c_2(c_1(c_3(c_0(c_1(c_3(z0)))))))))))))))))) -> 2(3(2(1(1(2(2(1(3(1(0(2(1(1(1(0(3(3(z0))))))))))))))))))
   1(c_2(c_2(c_3(c_3(c_2(c_0(c_1(c_3(c_1(c_2(c_0(c_3(c_0(c_3(c_2(c_0(c_2(z0)))))))))))))))))) -> 2(3(1(0(3(1(0(2(3(3(2(2(0(0(3(1(2(2(z0))))))))))))))))))
   1(c_3(c_2(c_1(c_0(c_1(c_2(c_1(c_3(c_1(c_1(c_3(c_3(c_3(c_0(c_2(c_1(c_3(z0)))))))))))))))))) -> 1(0(3(1(1(2(2(3(2(3(1(1(3(1(1(0(3(3(z0))))))))))))))))))
   1(c_3(c_3(c_1(c_3(c_2(c_2(c_2(c_2(c_2(c_0(c_1(c_2(c_2(c_0(c_3(c_0(c_3(z0)))))))))))))))))) -> 1(3(2(0(1(0(2(2(2(2(2(1(0(3(3(3(2(3(z0))))))))))))))))))
   1(c_1(c_2(c_0(c_3(c_0(c_1(c_3(c_0(c_2(c_3(c_3(c_3(c_2(c_2(c_3(c_0(c_3(z0)))))))))))))))))) -> 3(3(0(3(1(0(3(2(3(2(2(0(3(2(1(1(0(3(z0))))))))))))))))))
   2(z0) -> c_2(z0)
   2(c_1(c_0(c_1(c_1(c_2(c_2(c_3(c_3(c_2(c_1(c_2(c_1(c_2(c_2(c_3(c_0(c_2(z0)))))))))))))))))) -> 2(3(2(1(1(0(1(2(2(2(0(3(2(2(1(1(3(2(z0))))))))))))))))))
   2(c_0(c_3(c_2(c_0(c_3(c_1(c_0(c_0(c_0(c_1(c_3(c_0(c_0(c_3(c_0(c_2(c_2(z0)))))))))))))))))) -> 2(3(0(0(0(0(0(0(0(2(3(1(3(1(0(3(2(2(z0))))))))))))))))))
   2(c_1(c_1(c_1(c_0(c_1(c_0(c_0(c_3(c_3(c_0(c_3(c_2(c_0(c_1(c_2(c_1(c_3(z0)))))))))))))))))) -> 2(2(3(0(3(1(0(0(3(0(1(1(1(1(2(1(0(3(z0))))))))))))))))))
   2(c_2(c_1(c_3(c_0(c_1(c_3(c_0(c_1(c_2(c_0(c_2(c_2(c_1(c_3(c_2(c_2(c_2(z0)))))))))))))))))) -> 1(1(2(2(3(3(3(2(2(0(2(0(1(0(2(2(1(2(z0))))))))))))))))))
   2(c_1(c_0(c_0(c_3(c_0(c_0(c_0(c_1(c_3(c_0(c_1(c_3(c_0(c_1(c_3(c_2(c_1(z0)))))))))))))))))) -> 3(0(0(0(1(1(2(3(3(0(0(3(0(1(0(2(1(1(z0))))))))))))))))))
   2(c_2(c_1(c_2(c_3(c_2(c_1(c_1(c_1(c_0(c_0(c_3(c_3(c_1(c_2(c_2(c_1(c_3(z0)))))))))))))))))) -> 2(2(1(1(1(2(1(2(3(2(3(1(3(1(0(2(0(3(z0))))))))))))))))))
   2(c_1(c_1(c_3(c_0(c_2(c_1(c_3(c_2(c_2(c_3(c_3(c_3(c_1(c_3(c_2(c_3(c_3(z0)))))))))))))))))) -> 2(2(3(3(1(2(1(0(1(1(3(3(2(3(3(2(3(3(z0))))))))))))))))))
   2(c_1(c_3(c_0(c_3(c_0(c_1(c_0(c_1(c_3(c_3(c_0(c_1(c_3(c_3(c_0(c_2(c_3(z0)))))))))))))))))) -> 2(3(3(0(3(3(0(0(3(2(3(1(1(1(0(3(1(0(z0))))))))))))))))))
   2(c_2(c_1(c_2(c_2(c_2(c_2(c_2(c_1(c_3(c_2(c_1(c_3(c_0(c_3(c_3(c_1(c_2(z0)))))))))))))))))) -> 2(2(0(2(2(2(3(1(2(1(3(2(3(1(1(2(3(2(z0))))))))))))))))))
   2(c_2(c_1(c_0(c_1(c_3(c_2(c_2(c_0(c_2(c_2(c_2(c_2(c_0(c_2(c_2(c_1(c_2(z0)))))))))))))))))) -> 2(3(2(2(2(1(2(2(2(0(1(0(2(2(0(2(1(2(z0))))))))))))))))))
   2(c_2(c_3(c_0(c_2(c_3(c_1(c_2(c_0(c_2(c_2(c_1(c_3(c_0(c_0(c_1(c_3(c_2(z0)))))))))))))))))) -> 3(0(2(1(3(2(2(1(1(2(0(3(0(0(2(2(3(2(z0))))))))))))))))))
   2(c_2(c_3(c_1(c_1(c_2(c_0(c_2(c_0(c_3(c_0(c_0(c_2(c_1(c_0(c_1(c_3(c_2(z0)))))))))))))))))) -> 2(2(3(2(2(0(3(0(3(1(0(1(1(1(2(2(0(0(z0))))))))))))))))))
   2(c_2(c_3(c_1(c_3(c_1(c_3(c_0(c_2(c_1(c_3(c_1(c_2(c_3(c_1(c_3(c_3(c_1(z0)))))))))))))))))) -> 2(3(3(1(3(1(3(3(2(3(1(1(2(3(2(1(0(1(z0))))))))))))))))))
   2(c_1(c_0(c_2(c_0(c_1(c_0(c_3(c_2(c_1(c_3(c_1(c_1(c_3(c_2(c_2(c_1(c_0(z0)))))))))))))))))) -> 2(3(1(2(3(2(2(1(2(0(0(1(0(3(1(1(1(0(z0))))))))))))))))))
   2(c_1(c_2(c_2(c_1(c_0(c_1(c_3(c_0(c_1(c_1(c_0(c_0(c_3(c_3(c_2(c_2(c_3(z0)))))))))))))))))) -> 2(0(3(1(0(1(3(1(3(2(2(2(2(0(1(1(0(3(z0))))))))))))))))))
   2(c_2(c_1(c_2(c_0(c_1(c_3(c_0(c_1(c_1(c_1(c_1(c_2(c_2(c_0(c_0(c_2(c_2(z0)))))))))))))))))) -> 2(0(0(1(1(0(2(2(3(1(2(2(1(2(1(1(0(2(z0))))))))))))))))))
   2(c_2(c_1(c_2(c_2(c_2(c_3(c_2(c_0(c_3(c_3(c_0(c_1(c_2(c_0(c_2(c_3(c_3(z0)))))))))))))))))) -> 2(3(1(3(1(0(2(2(3(0(2(2(2(3(2(2(0(3(z0))))))))))))))))))
   2(c_2(c_3(c_1(c_0(c_3(c_0(c_2(c_1(c_3(c_2(c_2(c_2(c_3(c_3(c_3(c_1(c_2(z0)))))))))))))))))) -> 1(1(0(3(2(2(3(2(2(1(0(2(3(3(2(3(3(2(z0))))))))))))))))))
   2(c_3(c_3(c_1(c_3(c_1(c_0(c_0(c_1(c_1(c_3(c_3(c_3(c_1(c_2(c_2(c_1(c_3(z0)))))))))))))))))) -> 2(2(1(3(3(1(1(0(3(1(1(1(3(3(2(3(0(3(z0))))))))))))))))))
   2(c_0(c_1(c_2(c_0(c_0(c_0(c_2(c_2(c_1(c_3(c_2(c_1(c_0(c_1(c_0(c_2(c_0(z0)))))))))))))))))) -> 2(0(2(0(1(0(1(1(0(1(0(3(2(0(2(2(2(0(z0))))))))))))))))))
   2(c_1(c_3(c_1(c_1(c_2(c_1(c_2(c_3(c_0(c_3(c_2(c_0(c_1(c_0(c_1(c_2(c_1(z0)))))))))))))))))) -> 3(0(0(3(1(1(1(1(1(2(3(2(0(2(2(1(2(1(z0))))))))))))))))))
   2(c_3(c_2(c_1(c_3(c_1(c_2(c_0(c_0(c_1(c_3(c_0(c_1(c_2(c_0(c_3(c_1(c_1(z0)))))))))))))))))) -> 1(2(3(1(1(0(1(3(0(0(0(3(2(3(2(2(1(1(z0))))))))))))))))))
   2(c_3(c_2(c_1(c_2(c_0(c_3(c_0(c_1(c_3(c_3(c_3(c_0(c_2(c_3(c_0(c_0(c_0(z0)))))))))))))))))) -> 3(0(0(3(0(2(3(1(1(3(3(2(2(0(3(0(2(0(z0))))))))))))))))))
   3(z0) -> c_3(z0)
   3(c_0(c_0(c_3(c_1(c_3(c_3(c_2(c_2(c_1(c_1(c_0(c_2(c_1(c_2(c_0(c_2(c_0(z0)))))))))))))))))) -> 3(3(1(0(2(0(2(0(2(0(2(3(1(1(3(1(0(2(z0))))))))))))))))))
   3(c_2(c_0(c_1(c_0(c_0(c_0(c_3(c_1(c_3(c_1(c_3(c_3(c_2(c_0(c_1(c_1(c_1(z0)))))))))))))))))) -> 3(2(0(3(0(1(1(1(0(1(1(0(3(0(3(2(3(1(z0))))))))))))))))))
   3(c_2(c_2(c_3(c_1(c_2(c_2(c_2(c_1(c_3(c_3(c_3(c_0(c_2(c_1(c_3(c_2(c_1(z0)))))))))))))))))) -> 3(2(2(1(2(2(2(3(2(3(3(1(1(3(3(0(2(1(z0))))))))))))))))))
   3(c_0(c_1(c_0(c_2(c_0(c_3(c_1(c_3(c_3(c_1(c_3(c_3(c_0(c_2(c_2(c_3(c_0(z0)))))))))))))))))) -> 3(0(2(1(0(3(0(3(3(0(2(3(3(1(1(2(3(0(z0))))))))))))))))))
   3(c_3(c_2(c_0(c_3(c_1(c_2(c_2(c_3(c_1(c_3(c_2(c_3(c_2(c_2(c_1(c_2(c_0(z0)))))))))))))))))) -> 3(2(1(3(2(3(2(0(3(2(2(3(2(3(1(1(2(0(z0))))))))))))))))))
   3(c_1(c_2(c_3(c_0(c_2(c_2(c_1(c_1(c_3(c_1(c_0(c_0(c_1(c_0(c_2(c_3(c_0(z0)))))))))))))))))) -> 3(1(0(0(0(3(1(1(0(3(1(2(1(2(2(3(2(0(z0))))))))))))))))))
   3(c_0(c_3(c_2(c_0(c_3(c_1(c_1(c_2(c_1(c_3(c_3(c_2(c_1(c_0(c_3(c_2(c_1(z0)))))))))))))))))) -> 2(3(3(0(1(1(1(0(2(1(2(3(3(0(3(3(2(1(z0))))))))))))))))))
   3(c_3(c_0(c_3(c_1(c_3(c_3(c_1(c_2(c_0(c_3(c_2(c_2(c_2(c_3(c_2(c_3(c_0(z0)))))))))))))))))) -> 3(2(3(1(0(3(2(1(2(3(3(3(0(0(3(3(2(2(z0))))))))))))))))))
   3(c_1(c_1(c_3(c_1(c_3(c_3(c_0(c_3(c_1(c_3(c_0(c_2(c_1(c_2(c_2(c_1(c_3(z0)))))))))))))))))) -> 3(3(3(2(0(2(1(1(2(3(1(1(3(0(3(1(1(3(z0))))))))))))))))))
   3(c_3(c_0(c_2(c_3(c_3(c_0(c_0(c_2(c_1(c_0(c_3(c_0(c_1(c_0(c_1(c_0(c_2(z0)))))))))))))))))) -> 2(0(3(3(3(0(2(0(3(1(1(1(0(0(0(0(3(2(z0))))))))))))))))))
   3(c_2(c_0(c_1(c_2(c_1(c_2(c_3(c_2(c_3(c_2(c_0(c_2(c_1(c_2(c_1(c_2(c_0(z0)))))))))))))))))) -> 2(1(1(3(2(0(2(3(1(1(2(2(0(2(3(2(2(0(z0))))))))))))))))))
   3(c_0(c_1(c_3(c_2(c_2(c_3(c_2(c_0(c_1(c_0(c_0(c_3(c_0(c_1(c_0(c_2(c_0(z0)))))))))))))))))) -> 2(3(1(2(0(2(0(3(1(0(0(0(3(2(3(1(0(0(z0))))))))))))))))))
   3(c_0(c_1(c_0(c_0(c_1(c_3(c_0(c_0(c_1(c_3(c_0(c_1(c_2(c_0(c_3(c_3(c_3(z0)))))))))))))))))) -> 1(1(3(0(0(3(1(0(1(0(2(3(0(3(3(0(0(3(z0))))))))))))))))))
   3(c_3(c_1(c_1(c_3(c_0(c_2(c_1(c_3(c_2(c_0(c_1(c_2(c_3(c_3(c_3(c_2(c_3(z0)))))))))))))))))) -> 3(1(0(3(1(1(0(3(3(2(2(2(2(3(1(3(3(3(z0))))))))))))))))))
   3(c_2(c_3(c_3(c_0(c_2(c_3(c_2(c_0(c_2(c_3(c_2(c_2(c_1(c_3(c_3(c_0(c_3(z0)))))))))))))))))) -> 3(3(2(2(3(3(2(3(0(0(3(2(2(1(0(3(2(3(z0))))))))))))))))))
   3(c_2(c_0(c_2(c_2(c_3(c_0(c_0(c_1(c_3(c_0(c_2(c_0(c_0(c_2(c_1(c_3(c_0(z0)))))))))))))))))) -> 2(1(0(0(0(0(3(2(3(0(3(1(3(0(0(2(2(2(z0))))))))))))))))))
   3(c_1(c_3(c_3(c_0(c_2(c_2(c_2(c_0(c_1(c_2(c_0(c_1(c_0(c_1(c_2(c_2(c_0(z0)))))))))))))))))) -> 3(2(3(2(0(3(1(2(1(1(1(2(0(0(0(2(2(0(z0))))))))))))))))))
   3(c_2(c_1(c_2(c_3(c_3(c_1(c_2(c_1(c_1(c_2(c_3(c_0(c_2(c_3(c_1(c_2(c_3(z0)))))))))))))))))) -> 2(0(2(3(1(1(3(3(1(2(2(2(3(3(1(1(2(3(z0))))))))))))))))))
   3(c_3(c_3(c_1(c_3(c_0(c_3(c_3(c_1(c_3(c_0(c_1(c_0(c_0(c_2(c_1(c_2(c_0(z0)))))))))))))))))) -> 3(3(1(1(0(1(3(3(0(3(3(0(2(2(3(1(0(0(z0))))))))))))))))))
   3(c_0(c_3(c_2(c_2(c_3(c_2(c_0(c_3(c_0(c_2(c_2(c_1(c_2(c_0(c_2(c_2(c_0(z0)))))))))))))))))) -> 3(2(1(0(0(3(0(2(3(2(2(0(2(2(3(2(2(0(z0))))))))))))))))))
   3(c_3(c_0(c_1(c_0(c_1(c_3(c_3(c_3(c_2(c_2(c_3(c_3(c_0(c_3(c_3(c_0(c_3(z0)))))))))))))))))) -> 3(3(3(0(2(3(1(0(1(3(2(3(3(3(3(0(0(3(z0))))))))))))))))))
   3(c_3(c_3(c_0(c_1(c_3(c_3(c_1(c_2(c_3(c_0(c_2(c_1(c_3(c_2(c_1(c_0(c_0(z0)))))))))))))))))) -> 3(1(1(1(3(0(1(3(0(2(3(2(3(0(3(2(3(0(z0))))))))))))))))))
   3(c_1(c_2(c_0(c_3(c_0(c_1(c_2(c_0(c_3(c_3(c_2(c_3(c_2(c_2(c_1(c_2(c_3(z0)))))))))))))))))) -> 3(1(3(2(1(1(3(2(0(0(0(3(2(2(2(3(2(3(z0))))))))))))))))))
   3(c_3(c_2(c_1(c_1(c_1(c_1(c_3(c_0(c_0(c_3(c_1(c_2(c_0(c_2(c_2(c_3(c_0(z0)))))))))))))))))) -> 3(3(1(1(0(1(0(2(0(1(1(2(3(3(2(2(3(0(z0))))))))))))))))))
   3(c_0(c_1(c_3(c_2(c_3(c_3(c_2(c_0(c_1(c_1(c_2(c_0(c_1(c_3(c_1(c_3(c_2(z0)))))))))))))))))) -> 3(2(3(3(0(3(1(1(0(2(2(3(1(2(1(1(0(3(z0))))))))))))))))))
   3(c_0(c_2(c_1(c_3(c_3(c_0(c_1(c_1(c_3(c_0(c_1(c_2(c_3(c_1(c_2(c_1(c_3(z0)))))))))))))))))) -> 0(1(1(2(3(2(3(1(0(2(1(1(1(0(3(3(3(3(z0))))))))))))))))))
   3(c_3(c_2(c_0(c_3(c_2(c_1(c_2(c_2(c_1(c_2(c_0(c_1(c_2(c_3(c_3(c_2(c_0(z0)))))))))))))))))) -> 2(0(3(3(1(2(1(2(1(0(2(3(3(2(3(2(2(0(z0))))))))))))))))))
   3(c_2(c_1(c_3(c_2(c_2(c_3(c_3(c_3(c_2(c_1(c_2(c_0(c_1(c_0(c_1(c_1(c_2(z0)))))))))))))))))) -> 2(3(1(1(0(2(2(0(3(3(3(1(2(3(1(2(1(2(z0))))))))))))))))))
   3(c_0(c_3(c_0(c_1(c_3(c_0(c_2(c_0(c_1(c_1(c_0(c_1(c_0(c_2(c_3(c_0(c_3(z0)))))))))))))))))) -> 3(0(0(2(1(1(0(1(0(3(2(1(0(0(3(3(0(3(z0))))))))))))))))))
   3(c_2(c_0(c_2(c_2(c_0(c_0(c_2(c_3(c_0(c_2(c_3(c_0(c_1(c_2(c_2(c_0(c_2(z0)))))))))))))))))) -> 2(0(3(2(2(2(0(3(2(0(2(1(3(2(0(0(0(2(z0))))))))))))))))))
   3(c_2(c_3(c_2(c_1(c_3(c_0(c_1(c_2(c_1(c_2(c_2(c_1(c_0(c_1(c_1(c_0(c_0(z0)))))))))))))))))) -> 3(2(2(0(1(1(1(1(1(0(0(0(3(2(2(1(3(2(z0))))))))))))))))))
   3(c_2(c_3(c_1(c_1(c_1(c_3(c_2(c_2(c_1(c_2(c_1(c_0(c_0(c_3(c_1(c_3(c_3(z0)))))))))))))))))) -> 3(2(3(2(0(3(1(1(2(3(2(0(1(3(1(1(1(3(z0))))))))))))))))))
Tuples:
   ENCARG(cons_2(z0)) -> c2(2'(encArg(z0)), ENCARG(z0))
   ENCARG(cons_3(z0)) -> c3(3'(encArg(z0)), ENCARG(z0))
   0'(c_3(c_0(c_0(c_2(c_1(c_0(c_0(c_2(c_1(c_2(c_2(c_3(c_2(c_0(c_0(c_2(c_0(z0)))))))))))))))))) -> c9(0'(2(0(0(0(2(0(3(0(2(2(0(1(1(3(2(2(0(z0)))))))))))))))))), 2'(0(0(0(2(0(3(0(2(2(0(1(1(3(2(2(0(z0))))))))))))))))), 0'(0(0(2(0(3(0(2(2(0(1(1(3(2(2(0(z0)))))))))))))))), 0'(0(2(0(3(0(2(2(0(1(1(3(2(2(0(z0))))))))))))))), 0'(2(0(3(0(2(2(0(1(1(3(2(2(0(z0)))))))))))))), 2'(0(3(0(2(2(0(1(1(3(2(2(0(z0))))))))))))), 0'(3(0(2(2(0(1(1(3(2(2(0(z0)))))))))))), 3'(0(2(2(0(1(1(3(2(2(0(z0))))))))))), 0'(2(2(0(1(1(3(2(2(0(z0)))))))))), 2'(2(0(1(1(3(2(2(0(z0))))))))), 2'(0(1(1(3(2(2(0(z0)))))))), 0'(1(1(3(2(2(0(z0))))))), 1'(1(3(2(2(0(z0)))))), 1'(3(2(2(0(z0))))), 3'(2(2(0(z0)))), 2'(2(0(z0))), 2'(0(z0)), 0'(z0))
   0'(c_0(c_3(c_3(c_0(c_2(c_3(c_0(c_3(c_0(c_2(c_1(c_0(c_0(c_0(c_3(c_3(c_0(z0)))))))))))))))))) -> c10(0'(0(3(1(0(3(0(0(3(3(0(3(3(0(0(2(0(2(z0)))))))))))))))))), 0'(3(1(0(3(0(0(3(3(0(3(3(0(0(2(0(2(z0))))))))))))))))), 3'(1(0(3(0(0(3(3(0(3(3(0(0(2(0(2(z0)))))))))))))))), 1'(0(3(0(0(3(3(0(3(3(0(0(2(0(2(z0))))))))))))))), 0'(3(0(0(3(3(0(3(3(0(0(2(0(2(z0)))))))))))))), 3'(0(0(3(3(0(3(3(0(0(2(0(2(z0))))))))))))), 0'(0(3(3(0(3(3(0(0(2(0(2(z0)))))))))))), 0'(3(3(0(3(3(0(0(2(0(2(z0))))))))))), 3'(3(0(3(3(0(0(2(0(2(z0)))))))))), 3'(0(3(3(0(0(2(0(2(z0))))))))), 0'(3(3(0(0(2(0(2(z0)))))))), 3'(3(0(0(2(0(2(z0))))))), 3'(0(0(2(0(2(z0)))))), 0'(0(2(0(2(z0))))), 0'(2(0(2(z0)))), 2'(0(2(z0))), 0'(2(z0)), 2'(z0))
   0'(c_0(c_1(c_1(c_2(c_1(c_3(c_1(c_3(c_1(c_1(c_1(c_2(c_2(c_1(c_0(c_2(c_2(z0)))))))))))))))))) -> c11(2'(1(1(1(1(0(3(1(1(1(2(0(3(1(0(2(2(2(z0)))))))))))))))))), 1'(1(1(1(0(3(1(1(1(2(0(3(1(0(2(2(2(z0))))))))))))))))), 1'(1(1(0(3(1(1(1(2(0(3(1(0(2(2(2(z0)))))))))))))))), 1'(1(0(3(1(1(1(2(0(3(1(0(2(2(2(z0))))))))))))))), 1'(0(3(1(1(1(2(0(3(1(0(2(2(2(z0)))))))))))))), 0'(3(1(1(1(2(0(3(1(0(2(2(2(z0))))))))))))), 3'(1(1(1(2(0(3(1(0(2(2(2(z0)))))))))))), 1'(1(1(2(0(3(1(0(2(2(2(z0))))))))))), 1'(1(2(0(3(1(0(2(2(2(z0)))))))))), 1'(2(0(3(1(0(2(2(2(z0))))))))), 2'(0(3(1(0(2(2(2(z0)))))))), 0'(3(1(0(2(2(2(z0))))))), 3'(1(0(2(2(2(z0)))))), 1'(0(2(2(2(z0))))), 0'(2(2(2(z0)))), 2'(2(2(z0))), 2'(2(z0)), 2'(z0))
   0'(c_3(c_3(c_0(c_0(c_0(c_1(c_3(c_2(c_2(c_3(c_2(c_1(c_3(c_0(c_0(c_2(c_1(z0)))))))))))))))))) -> c12(0'(2(2(0(0(3(0(2(3(1(0(3(1(0(3(2(3(1(z0)))))))))))))))))), 2'(2(0(0(3(0(2(3(1(0(3(1(0(3(2(3(1(z0))))))))))))))))), 2'(0(0(3(0(2(3(1(0(3(1(0(3(2(3(1(z0)))))))))))))))), 0'(0(3(0(2(3(1(0(3(1(0(3(2(3(1(z0))))))))))))))), 0'(3(0(2(3(1(0(3(1(0(3(2(3(1(z0)))))))))))))), 3'(0(2(3(1(0(3(1(0(3(2(3(1(z0))))))))))))), 0'(2(3(1(0(3(1(0(3(2(3(1(z0)))))))))))), 2'(3(1(0(3(1(0(3(2(3(1(z0))))))))))), 3'(1(0(3(1(0(3(2(3(1(z0)))))))))), 1'(0(3(1(0(3(2(3(1(z0))))))))), 0'(3(1(0(3(2(3(1(z0)))))))), 3'(1(0(3(2(3(1(z0))))))), 1'(0(3(2(3(1(z0)))))), 0'(3(2(3(1(z0))))), 3'(2(3(1(z0)))), 2'(3(1(z0))), 3'(1(z0)), 1'(z0))
   0'(c_0(c_0(c_0(c_1(c_1(c_3(c_2(c_3(c_3(c_0(c_1(c_1(c_2(c_0(c_1(c_3(c_1(z0)))))))))))))))))) -> c13(0'(0(0(1(1(1(0(1(3(3(1(0(3(2(0(2(3(1(z0)))))))))))))))))), 0'(0(1(1(1(0(1(3(3(1(0(3(2(0(2(3(1(z0))))))))))))))))), 0'(1(1(1(0(1(3(3(1(0(3(2(0(2(3(1(z0)))))))))))))))), 1'(1(1(0(1(3(3(1(0(3(2(0(2(3(1(z0))))))))))))))), 1'(1(0(1(3(3(1(0(3(2(0(2(3(1(z0)))))))))))))), 1'(0(1(3(3(1(0(3(2(0(2(3(1(z0))))))))))))), 0'(1(3(3(1(0(3(2(0(2(3(1(z0)))))))))))), 1'(3(3(1(0(3(2(0(2(3(1(z0))))))))))), 3'(3(1(0(3(2(0(2(3(1(z0)))))))))), 3'(1(0(3(2(0(2(3(1(z0))))))))), 1'(0(3(2(0(2(3(1(z0)))))))), 0'(3(2(0(2(3(1(z0))))))), 3'(2(0(2(3(1(z0)))))), 2'(0(2(3(1(z0))))), 0'(2(3(1(z0)))), 2'(3(1(z0))), 3'(1(z0)), 1'(z0))
   0'(c_2(c_1(c_2(c_1(c_1(c_2(c_3(c_2(c_1(c_0(c_0(c_1(c_0(c_0(c_3(c_0(c_3(z0)))))))))))))))))) -> c14(0'(3(2(0(0(1(2(1(0(2(1(1(3(1(0(0(2(3(z0)))))))))))))))))), 3'(2(0(0(1(2(1(0(2(1(1(3(1(0(0(2(3(z0))))))))))))))))), 2'(0(0(1(2(1(0(2(1(1(3(1(0(0(2(3(z0)))))))))))))))), 0'(0(1(2(1(0(2(1(1(3(1(0(0(2(3(z0))))))))))))))), 0'(1(2(1(0(2(1(1(3(1(0(0(2(3(z0)))))))))))))), 1'(2(1(0(2(1(1(3(1(0(0(2(3(z0))))))))))))), 2'(1(0(2(1(1(3(1(0(0(2(3(z0)))))))))))), 1'(0(2(1(1(3(1(0(0(2(3(z0))))))))))), 0'(2(1(1(3(1(0(0(2(3(z0)))))))))), 2'(1(1(3(1(0(0(2(3(z0))))))))), 1'(1(3(1(0(0(2(3(z0)))))))), 1'(3(1(0(0(2(3(z0))))))), 3'(1(0(0(2(3(z0)))))), 1'(0(0(2(3(z0))))), 0'(0(2(3(z0)))), 0'(2(3(z0))), 2'(3(z0)), 3'(z0))
   0'(c_0(c_0(c_2(c_3(c_0(c_0(c_0(c_0(c_0(c_0(c_1(c_1(c_0(c_3(c_0(c_0(c_0(z0)))))))))))))))))) -> c15(0'(0(3(1(0(0(0(0(2(0(0(0(3(1(0(0(0(0(z0)))))))))))))))))), 0'(3(1(0(0(0(0(2(0(0(0(3(1(0(0(0(0(z0))))))))))))))))), 3'(1(0(0(0(0(2(0(0(0(3(1(0(0(0(0(z0)))))))))))))))), 1'(0(0(0(0(2(0(0(0(3(1(0(0(0(0(z0))))))))))))))), 0'(0(0(0(2(0(0(0(3(1(0(0(0(0(z0)))))))))))))), 0'(0(0(2(0(0(0(3(1(0(0(0(0(z0))))))))))))), 0'(0(2(0(0(0(3(1(0(0(0(0(z0)))))))))))), 0'(2(0(0(0(3(1(0(0(0(0(z0))))))))))), 2'(0(0(0(3(1(0(0(0(0(z0)))))))))), 0'(0(0(3(1(0(0(0(0(z0))))))))), 0'(0(3(1(0(0(0(0(z0)))))))), 0'(3(1(0(0(0(0(z0))))))), 3'(1(0(0(0(0(z0)))))), 1'(0(0(0(0(z0))))), 0'(0(0(0(z0)))), 0'(0(0(z0))), 0'(0(z0)), 0'(z0))
   0'(c_3(c_2(c_0(c_3(c_0(c_0(c_1(c_2(c_1(c_2(c_0(c_1(c_2(c_1(c_3(c_0(c_0(z0)))))))))))))))))) -> c16(0'(2(2(0(3(3(1(0(0(3(0(2(1(1(0(1(2(0(z0)))))))))))))))))), 2'(2(0(3(3(1(0(0(3(0(2(1(1(0(1(2(0(z0))))))))))))))))), 2'(0(3(3(1(0(0(3(0(2(1(1(0(1(2(0(z0)))))))))))))))), 0'(3(3(1(0(0(3(0(2(1(1(0(1(2(0(z0))))))))))))))), 3'(3(1(0(0(3(0(2(1(1(0(1(2(0(z0)))))))))))))), 3'(1(0(0(3(0(2(1(1(0(1(2(0(z0))))))))))))), 1'(0(0(3(0(2(1(1(0(1(2(0(z0)))))))))))), 0'(0(3(0(2(1(1(0(1(2(0(z0))))))))))), 0'(3(0(2(1(1(0(1(2(0(z0)))))))))), 3'(0(2(1(1(0(1(2(0(z0))))))))), 0'(2(1(1(0(1(2(0(z0)))))))), 2'(1(1(0(1(2(0(z0))))))), 1'(1(0(1(2(0(z0)))))), 1'(0(1(2(0(z0))))), 0'(1(2(0(z0)))), 1'(2(0(z0))), 2'(0(z0)), 0'(z0))
   0'(c_2(c_0(c_2(c_1(c_1(c_2(c_1(c_2(c_0(c_0(c_3(c_2(c_2(c_3(c_0(c_0(c_3(z0)))))))))))))))))) -> c17(0'(3(2(2(0(2(2(2(2(0(3(0(1(0(1(1(0(3(z0)))))))))))))))))), 3'(2(2(0(2(2(2(2(0(3(0(1(0(1(1(0(3(z0))))))))))))))))), 2'(2(0(2(2(2(2(0(3(0(1(0(1(1(0(3(z0)))))))))))))))), 2'(0(2(2(2(2(0(3(0(1(0(1(1(0(3(z0))))))))))))))), 0'(2(2(2(2(0(3(0(1(0(1(1(0(3(z0)))))))))))))), 2'(2(2(2(0(3(0(1(0(1(1(0(3(z0))))))))))))), 2'(2(2(0(3(0(1(0(1(1(0(3(z0)))))))))))), 2'(2(0(3(0(1(0(1(1(0(3(z0))))))))))), 2'(0(3(0(1(0(1(1(0(3(z0)))))))))), 0'(3(0(1(0(1(1(0(3(z0))))))))), 3'(0(1(0(1(1(0(3(z0)))))))), 0'(1(0(1(1(0(3(z0))))))), 1'(0(1(1(0(3(z0)))))), 0'(1(1(0(3(z0))))), 1'(1(0(3(z0)))), 1'(0(3(z0))), 0'(3(z0)), 3'(z0))
   0'(c_2(c_3(c_1(c_2(c_3(c_2(c_1(c_0(c_1(c_0(c_0(c_3(c_1(c_3(c_1(c_2(c_3(z0)))))))))))))))))) -> c18(0'(2(3(3(1(2(1(1(1(0(2(3(1(0(2(0(3(3(z0)))))))))))))))))), 2'(3(3(1(2(1(1(1(0(2(3(1(0(2(0(3(3(z0))))))))))))))))), 3'(3(1(2(1(1(1(0(2(3(1(0(2(0(3(3(z0)))))))))))))))), 3'(1(2(1(1(1(0(2(3(1(0(2(0(3(3(z0))))))))))))))), 1'(2(1(1(1(0(2(3(1(0(2(0(3(3(z0)))))))))))))), 2'(1(1(1(0(2(3(1(0(2(0(3(3(z0))))))))))))), 1'(1(1(0(2(3(1(0(2(0(3(3(z0)))))))))))), 1'(1(0(2(3(1(0(2(0(3(3(z0))))))))))), 1'(0(2(3(1(0(2(0(3(3(z0)))))))))), 0'(2(3(1(0(2(0(3(3(z0))))))))), 2'(3(1(0(2(0(3(3(z0)))))))), 3'(1(0(2(0(3(3(z0))))))), 1'(0(2(0(3(3(z0)))))), 0'(2(0(3(3(z0))))), 2'(0(3(3(z0)))), 0'(3(3(z0))), 3'(3(z0)), 3'(z0))
   0'(c_2(c_0(c_1(c_3(c_0(c_0(c_1(c_3(c_0(c_2(c_0(c_1(c_3(c_1(c_1(c_3(c_1(z0)))))))))))))))))) -> c19(0'(2(0(1(3(1(1(2(1(0(0(3(3(0(0(1(3(1(z0)))))))))))))))))), 2'(0(1(3(1(1(2(1(0(0(3(3(0(0(1(3(1(z0))))))))))))))))), 0'(1(3(1(1(2(1(0(0(3(3(0(0(1(3(1(z0)))))))))))))))), 1'(3(1(1(2(1(0(0(3(3(0(0(1(3(1(z0))))))))))))))), 3'(1(1(2(1(0(0(3(3(0(0(1(3(1(z0)))))))))))))), 1'(1(2(1(0(0(3(3(0(0(1(3(1(z0))))))))))))), 1'(2(1(0(0(3(3(0(0(1(3(1(z0)))))))))))), 2'(1(0(0(3(3(0(0(1(3(1(z0))))))))))), 1'(0(0(3(3(0(0(1(3(1(z0)))))))))), 0'(0(3(3(0(0(1(3(1(z0))))))))), 0'(3(3(0(0(1(3(1(z0)))))))), 3'(3(0(0(1(3(1(z0))))))), 3'(0(0(1(3(1(z0)))))), 0'(0(1(3(1(z0))))), 0'(1(3(1(z0)))), 1'(3(1(z0))), 3'(1(z0)), 1'(z0))
   1'(c_0(c_0(c_1(c_0(c_0(c_3(c_3(c_0(c_0(c_2(c_1(c_2(c_1(c_3(c_3(c_1(c_3(z0)))))))))))))))))) -> c21(1'(0(3(0(0(3(3(0(0(2(1(0(3(1(2(3(1(1(z0)))))))))))))))))), 0'(3(0(0(3(3(0(0(2(1(0(3(1(2(3(1(1(z0))))))))))))))))), 3'(0(0(3(3(0(0(2(1(0(3(1(2(3(1(1(z0)))))))))))))))), 0'(0(3(3(0(0(2(1(0(3(1(2(3(1(1(z0))))))))))))))), 0'(3(3(0(0(2(1(0(3(1(2(3(1(1(z0)))))))))))))), 3'(3(0(0(2(1(0(3(1(2(3(1(1(z0))))))))))))), 3'(0(0(2(1(0(3(1(2(3(1(1(z0)))))))))))), 0'(0(2(1(0(3(1(2(3(1(1(z0))))))))))), 0'(2(1(0(3(1(2(3(1(1(z0)))))))))), 2'(1(0(3(1(2(3(1(1(z0))))))))), 1'(0(3(1(2(3(1(1(z0)))))))), 0'(3(1(2(3(1(1(z0))))))), 3'(1(2(3(1(1(z0)))))), 1'(2(3(1(1(z0))))), 2'(3(1(1(z0)))), 3'(1(1(z0))), 1'(1(z0)), 1'(z0))
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   1'(c_3(c_0(c_1(c_3(c_1(c_2(c_1(c_2(c_1(c_2(c_2(c_2(c_1(c_3(c_0(c_1(c_3(z0)))))))))))))))))) -> c30(2'(3(2(1(1(2(2(1(3(1(0(2(1(1(1(0(3(3(z0)))))))))))))))))), 3'(2(1(1(2(2(1(3(1(0(2(1(1(1(0(3(3(z0))))))))))))))))), 2'(1(1(2(2(1(3(1(0(2(1(1(1(0(3(3(z0)))))))))))))))), 1'(1(2(2(1(3(1(0(2(1(1(1(0(3(3(z0))))))))))))))), 1'(2(2(1(3(1(0(2(1(1(1(0(3(3(z0)))))))))))))), 2'(2(1(3(1(0(2(1(1(1(0(3(3(z0))))))))))))), 2'(1(3(1(0(2(1(1(1(0(3(3(z0)))))))))))), 1'(3(1(0(2(1(1(1(0(3(3(z0))))))))))), 3'(1(0(2(1(1(1(0(3(3(z0)))))))))), 1'(0(2(1(1(1(0(3(3(z0))))))))), 0'(2(1(1(1(0(3(3(z0)))))))), 2'(1(1(1(0(3(3(z0))))))), 1'(1(1(0(3(3(z0)))))), 1'(1(0(3(3(z0))))), 1'(0(3(3(z0)))), 0'(3(3(z0))), 3'(3(z0)), 3'(z0))
   1'(c_2(c_2(c_3(c_3(c_2(c_0(c_1(c_3(c_1(c_2(c_0(c_3(c_0(c_3(c_2(c_0(c_2(z0)))))))))))))))))) -> c31(2'(3(1(0(3(1(0(2(3(3(2(2(0(0(3(1(2(2(z0)))))))))))))))))), 3'(1(0(3(1(0(2(3(3(2(2(0(0(3(1(2(2(z0))))))))))))))))), 1'(0(3(1(0(2(3(3(2(2(0(0(3(1(2(2(z0)))))))))))))))), 0'(3(1(0(2(3(3(2(2(0(0(3(1(2(2(z0))))))))))))))), 3'(1(0(2(3(3(2(2(0(0(3(1(2(2(z0)))))))))))))), 1'(0(2(3(3(2(2(0(0(3(1(2(2(z0))))))))))))), 0'(2(3(3(2(2(0(0(3(1(2(2(z0)))))))))))), 2'(3(3(2(2(0(0(3(1(2(2(z0))))))))))), 3'(3(2(2(0(0(3(1(2(2(z0)))))))))), 3'(2(2(0(0(3(1(2(2(z0))))))))), 2'(2(0(0(3(1(2(2(z0)))))))), 2'(0(0(3(1(2(2(z0))))))), 0'(0(3(1(2(2(z0)))))), 0'(3(1(2(2(z0))))), 3'(1(2(2(z0)))), 1'(2(2(z0))), 2'(2(z0)), 2'(z0))
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   3'(c_2(c_0(c_2(c_2(c_0(c_0(c_2(c_3(c_0(c_2(c_3(c_0(c_1(c_2(c_2(c_0(c_2(z0)))))))))))))))))) -> c89(2'(0(3(2(2(2(0(3(2(0(2(1(3(2(0(0(0(2(z0)))))))))))))))))), 0'(3(2(2(2(0(3(2(0(2(1(3(2(0(0(0(2(z0))))))))))))))))), 3'(2(2(2(0(3(2(0(2(1(3(2(0(0(0(2(z0)))))))))))))))), 2'(2(2(0(3(2(0(2(1(3(2(0(0(0(2(z0))))))))))))))), 2'(2(0(3(2(0(2(1(3(2(0(0(0(2(z0)))))))))))))), 2'(0(3(2(0(2(1(3(2(0(0(0(2(z0))))))))))))), 0'(3(2(0(2(1(3(2(0(0(0(2(z0)))))))))))), 3'(2(0(2(1(3(2(0(0(0(2(z0))))))))))), 2'(0(2(1(3(2(0(0(0(2(z0)))))))))), 0'(2(1(3(2(0(0(0(2(z0))))))))), 2'(1(3(2(0(0(0(2(z0)))))))), 1'(3(2(0(0(0(2(z0))))))), 3'(2(0(0(0(2(z0)))))), 2'(0(0(0(2(z0))))), 0'(0(0(2(z0)))), 0'(0(2(z0))), 0'(2(z0)), 2'(z0))
   3'(c_2(c_3(c_2(c_1(c_3(c_0(c_1(c_2(c_1(c_2(c_2(c_1(c_0(c_1(c_1(c_0(c_0(z0)))))))))))))))))) -> c90(3'(2(2(0(1(1(1(1(1(0(0(0(3(2(2(1(3(2(z0)))))))))))))))))), 2'(2(0(1(1(1(1(1(0(0(0(3(2(2(1(3(2(z0))))))))))))))))), 2'(0(1(1(1(1(1(0(0(0(3(2(2(1(3(2(z0)))))))))))))))), 0'(1(1(1(1(1(0(0(0(3(2(2(1(3(2(z0))))))))))))))), 1'(1(1(1(1(0(0(0(3(2(2(1(3(2(z0)))))))))))))), 1'(1(1(1(0(0(0(3(2(2(1(3(2(z0))))))))))))), 1'(1(1(0(0(0(3(2(2(1(3(2(z0)))))))))))), 1'(1(0(0(0(3(2(2(1(3(2(z0))))))))))), 1'(0(0(0(3(2(2(1(3(2(z0)))))))))), 0'(0(0(3(2(2(1(3(2(z0))))))))), 0'(0(3(2(2(1(3(2(z0)))))))), 0'(3(2(2(1(3(2(z0))))))), 3'(2(2(1(3(2(z0)))))), 2'(2(1(3(2(z0))))), 2'(1(3(2(z0)))), 1'(3(2(z0))), 3'(2(z0)), 2'(z0))
   3'(c_2(c_3(c_1(c_1(c_1(c_3(c_2(c_2(c_1(c_2(c_1(c_0(c_0(c_3(c_1(c_3(c_3(z0)))))))))))))))))) -> c91(3'(2(3(2(0(3(1(1(2(3(2(0(1(3(1(1(1(3(z0)))))))))))))))))), 2'(3(2(0(3(1(1(2(3(2(0(1(3(1(1(1(3(z0))))))))))))))))), 3'(2(0(3(1(1(2(3(2(0(1(3(1(1(1(3(z0)))))))))))))))), 2'(0(3(1(1(2(3(2(0(1(3(1(1(1(3(z0))))))))))))))), 0'(3(1(1(2(3(2(0(1(3(1(1(1(3(z0)))))))))))))), 3'(1(1(2(3(2(0(1(3(1(1(1(3(z0))))))))))))), 1'(1(2(3(2(0(1(3(1(1(1(3(z0)))))))))))), 1'(2(3(2(0(1(3(1(1(1(3(z0))))))))))), 2'(3(2(0(1(3(1(1(1(3(z0)))))))))), 3'(2(0(1(3(1(1(1(3(z0))))))))), 2'(0(1(3(1(1(1(3(z0)))))))), 0'(1(3(1(1(1(3(z0))))))), 1'(3(1(1(1(3(z0)))))), 3'(1(1(1(3(z0))))), 1'(1(1(3(z0)))), 1'(1(3(z0))), 1'(3(z0)), 3'(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_3(c_0(c_0(c_2(c_1(c_0(c_0(c_2(c_1(c_2(c_2(c_3(c_2(c_0(c_0(c_2(c_0(z0)))))))))))))))))) -> c9(0'(2(0(0(0(2(0(3(0(2(2(0(1(1(3(2(2(0(z0)))))))))))))))))), 2'(0(0(0(2(0(3(0(2(2(0(1(1(3(2(2(0(z0))))))))))))))))), 0'(0(0(2(0(3(0(2(2(0(1(1(3(2(2(0(z0)))))))))))))))), 0'(0(2(0(3(0(2(2(0(1(1(3(2(2(0(z0))))))))))))))), 0'(2(0(3(0(2(2(0(1(1(3(2(2(0(z0)))))))))))))), 2'(0(3(0(2(2(0(1(1(3(2(2(0(z0))))))))))))), 0'(3(0(2(2(0(1(1(3(2(2(0(z0)))))))))))), 3'(0(2(2(0(1(1(3(2(2(0(z0))))))))))), 0'(2(2(0(1(1(3(2(2(0(z0)))))))))), 2'(2(0(1(1(3(2(2(0(z0))))))))), 2'(0(1(1(3(2(2(0(z0)))))))), 0'(1(1(3(2(2(0(z0))))))), 1'(1(3(2(2(0(z0)))))), 1'(3(2(2(0(z0))))), 3'(2(2(0(z0)))), 2'(2(0(z0))), 2'(0(z0)), 0'(z0))
   0'(c_0(c_3(c_3(c_0(c_2(c_3(c_0(c_3(c_0(c_2(c_1(c_0(c_0(c_0(c_3(c_3(c_0(z0)))))))))))))))))) -> c10(0'(0(3(1(0(3(0(0(3(3(0(3(3(0(0(2(0(2(z0)))))))))))))))))), 0'(3(1(0(3(0(0(3(3(0(3(3(0(0(2(0(2(z0))))))))))))))))), 3'(1(0(3(0(0(3(3(0(3(3(0(0(2(0(2(z0)))))))))))))))), 1'(0(3(0(0(3(3(0(3(3(0(0(2(0(2(z0))))))))))))))), 0'(3(0(0(3(3(0(3(3(0(0(2(0(2(z0)))))))))))))), 3'(0(0(3(3(0(3(3(0(0(2(0(2(z0))))))))))))), 0'(0(3(3(0(3(3(0(0(2(0(2(z0)))))))))))), 0'(3(3(0(3(3(0(0(2(0(2(z0))))))))))), 3'(3(0(3(3(0(0(2(0(2(z0)))))))))), 3'(0(3(3(0(0(2(0(2(z0))))))))), 0'(3(3(0(0(2(0(2(z0)))))))), 3'(3(0(0(2(0(2(z0))))))), 3'(0(0(2(0(2(z0)))))), 0'(0(2(0(2(z0))))), 0'(2(0(2(z0)))), 2'(0(2(z0))), 0'(2(z0)), 2'(z0))
   0'(c_0(c_1(c_1(c_2(c_1(c_3(c_1(c_3(c_1(c_1(c_1(c_2(c_2(c_1(c_0(c_2(c_2(z0)))))))))))))))))) -> c11(2'(1(1(1(1(0(3(1(1(1(2(0(3(1(0(2(2(2(z0)))))))))))))))))), 1'(1(1(1(0(3(1(1(1(2(0(3(1(0(2(2(2(z0))))))))))))))))), 1'(1(1(0(3(1(1(1(2(0(3(1(0(2(2(2(z0)))))))))))))))), 1'(1(0(3(1(1(1(2(0(3(1(0(2(2(2(z0))))))))))))))), 1'(0(3(1(1(1(2(0(3(1(0(2(2(2(z0)))))))))))))), 0'(3(1(1(1(2(0(3(1(0(2(2(2(z0))))))))))))), 3'(1(1(1(2(0(3(1(0(2(2(2(z0)))))))))))), 1'(1(1(2(0(3(1(0(2(2(2(z0))))))))))), 1'(1(2(0(3(1(0(2(2(2(z0)))))))))), 1'(2(0(3(1(0(2(2(2(z0))))))))), 2'(0(3(1(0(2(2(2(z0)))))))), 0'(3(1(0(2(2(2(z0))))))), 3'(1(0(2(2(2(z0)))))), 1'(0(2(2(2(z0))))), 0'(2(2(2(z0)))), 2'(2(2(z0))), 2'(2(z0)), 2'(z0))
   0'(c_3(c_3(c_0(c_0(c_0(c_1(c_3(c_2(c_2(c_3(c_2(c_1(c_3(c_0(c_0(c_2(c_1(z0)))))))))))))))))) -> c12(0'(2(2(0(0(3(0(2(3(1(0(3(1(0(3(2(3(1(z0)))))))))))))))))), 2'(2(0(0(3(0(2(3(1(0(3(1(0(3(2(3(1(z0))))))))))))))))), 2'(0(0(3(0(2(3(1(0(3(1(0(3(2(3(1(z0)))))))))))))))), 0'(0(3(0(2(3(1(0(3(1(0(3(2(3(1(z0))))))))))))))), 0'(3(0(2(3(1(0(3(1(0(3(2(3(1(z0)))))))))))))), 3'(0(2(3(1(0(3(1(0(3(2(3(1(z0))))))))))))), 0'(2(3(1(0(3(1(0(3(2(3(1(z0)))))))))))), 2'(3(1(0(3(1(0(3(2(3(1(z0))))))))))), 3'(1(0(3(1(0(3(2(3(1(z0)))))))))), 1'(0(3(1(0(3(2(3(1(z0))))))))), 0'(3(1(0(3(2(3(1(z0)))))))), 3'(1(0(3(2(3(1(z0))))))), 1'(0(3(2(3(1(z0)))))), 0'(3(2(3(1(z0))))), 3'(2(3(1(z0)))), 2'(3(1(z0))), 3'(1(z0)), 1'(z0))
   0'(c_0(c_0(c_0(c_1(c_1(c_3(c_2(c_3(c_3(c_0(c_1(c_1(c_2(c_0(c_1(c_3(c_1(z0)))))))))))))))))) -> c13(0'(0(0(1(1(1(0(1(3(3(1(0(3(2(0(2(3(1(z0)))))))))))))))))), 0'(0(1(1(1(0(1(3(3(1(0(3(2(0(2(3(1(z0))))))))))))))))), 0'(1(1(1(0(1(3(3(1(0(3(2(0(2(3(1(z0)))))))))))))))), 1'(1(1(0(1(3(3(1(0(3(2(0(2(3(1(z0))))))))))))))), 1'(1(0(1(3(3(1(0(3(2(0(2(3(1(z0)))))))))))))), 1'(0(1(3(3(1(0(3(2(0(2(3(1(z0))))))))))))), 0'(1(3(3(1(0(3(2(0(2(3(1(z0)))))))))))), 1'(3(3(1(0(3(2(0(2(3(1(z0))))))))))), 3'(3(1(0(3(2(0(2(3(1(z0)))))))))), 3'(1(0(3(2(0(2(3(1(z0))))))))), 1'(0(3(2(0(2(3(1(z0)))))))), 0'(3(2(0(2(3(1(z0))))))), 3'(2(0(2(3(1(z0)))))), 2'(0(2(3(1(z0))))), 0'(2(3(1(z0)))), 2'(3(1(z0))), 3'(1(z0)), 1'(z0))
   0'(c_2(c_1(c_2(c_1(c_1(c_2(c_3(c_2(c_1(c_0(c_0(c_1(c_0(c_0(c_3(c_0(c_3(z0)))))))))))))))))) -> c14(0'(3(2(0(0(1(2(1(0(2(1(1(3(1(0(0(2(3(z0)))))))))))))))))), 3'(2(0(0(1(2(1(0(2(1(1(3(1(0(0(2(3(z0))))))))))))))))), 2'(0(0(1(2(1(0(2(1(1(3(1(0(0(2(3(z0)))))))))))))))), 0'(0(1(2(1(0(2(1(1(3(1(0(0(2(3(z0))))))))))))))), 0'(1(2(1(0(2(1(1(3(1(0(0(2(3(z0)))))))))))))), 1'(2(1(0(2(1(1(3(1(0(0(2(3(z0))))))))))))), 2'(1(0(2(1(1(3(1(0(0(2(3(z0)))))))))))), 1'(0(2(1(1(3(1(0(0(2(3(z0))))))))))), 0'(2(1(1(3(1(0(0(2(3(z0)))))))))), 2'(1(1(3(1(0(0(2(3(z0))))))))), 1'(1(3(1(0(0(2(3(z0)))))))), 1'(3(1(0(0(2(3(z0))))))), 3'(1(0(0(2(3(z0)))))), 1'(0(0(2(3(z0))))), 0'(0(2(3(z0)))), 0'(2(3(z0))), 2'(3(z0)), 3'(z0))
   0'(c_0(c_0(c_2(c_3(c_0(c_0(c_0(c_0(c_0(c_0(c_1(c_1(c_0(c_3(c_0(c_0(c_0(z0)))))))))))))))))) -> c15(0'(0(3(1(0(0(0(0(2(0(0(0(3(1(0(0(0(0(z0)))))))))))))))))), 0'(3(1(0(0(0(0(2(0(0(0(3(1(0(0(0(0(z0))))))))))))))))), 3'(1(0(0(0(0(2(0(0(0(3(1(0(0(0(0(z0)))))))))))))))), 1'(0(0(0(0(2(0(0(0(3(1(0(0(0(0(z0))))))))))))))), 0'(0(0(0(2(0(0(0(3(1(0(0(0(0(z0)))))))))))))), 0'(0(0(2(0(0(0(3(1(0(0(0(0(z0))))))))))))), 0'(0(2(0(0(0(3(1(0(0(0(0(z0)))))))))))), 0'(2(0(0(0(3(1(0(0(0(0(z0))))))))))), 2'(0(0(0(3(1(0(0(0(0(z0)))))))))), 0'(0(0(3(1(0(0(0(0(z0))))))))), 0'(0(3(1(0(0(0(0(z0)))))))), 0'(3(1(0(0(0(0(z0))))))), 3'(1(0(0(0(0(z0)))))), 1'(0(0(0(0(z0))))), 0'(0(0(0(z0)))), 0'(0(0(z0))), 0'(0(z0)), 0'(z0))
   0'(c_3(c_2(c_0(c_3(c_0(c_0(c_1(c_2(c_1(c_2(c_0(c_1(c_2(c_1(c_3(c_0(c_0(z0)))))))))))))))))) -> c16(0'(2(2(0(3(3(1(0(0(3(0(2(1(1(0(1(2(0(z0)))))))))))))))))), 2'(2(0(3(3(1(0(0(3(0(2(1(1(0(1(2(0(z0))))))))))))))))), 2'(0(3(3(1(0(0(3(0(2(1(1(0(1(2(0(z0)))))))))))))))), 0'(3(3(1(0(0(3(0(2(1(1(0(1(2(0(z0))))))))))))))), 3'(3(1(0(0(3(0(2(1(1(0(1(2(0(z0)))))))))))))), 3'(1(0(0(3(0(2(1(1(0(1(2(0(z0))))))))))))), 1'(0(0(3(0(2(1(1(0(1(2(0(z0)))))))))))), 0'(0(3(0(2(1(1(0(1(2(0(z0))))))))))), 0'(3(0(2(1(1(0(1(2(0(z0)))))))))), 3'(0(2(1(1(0(1(2(0(z0))))))))), 0'(2(1(1(0(1(2(0(z0)))))))), 2'(1(1(0(1(2(0(z0))))))), 1'(1(0(1(2(0(z0)))))), 1'(0(1(2(0(z0))))), 0'(1(2(0(z0)))), 1'(2(0(z0))), 2'(0(z0)), 0'(z0))
   0'(c_2(c_0(c_2(c_1(c_1(c_2(c_1(c_2(c_0(c_0(c_3(c_2(c_2(c_3(c_0(c_0(c_3(z0)))))))))))))))))) -> c17(0'(3(2(2(0(2(2(2(2(0(3(0(1(0(1(1(0(3(z0)))))))))))))))))), 3'(2(2(0(2(2(2(2(0(3(0(1(0(1(1(0(3(z0))))))))))))))))), 2'(2(0(2(2(2(2(0(3(0(1(0(1(1(0(3(z0)))))))))))))))), 2'(0(2(2(2(2(0(3(0(1(0(1(1(0(3(z0))))))))))))))), 0'(2(2(2(2(0(3(0(1(0(1(1(0(3(z0)))))))))))))), 2'(2(2(2(0(3(0(1(0(1(1(0(3(z0))))))))))))), 2'(2(2(0(3(0(1(0(1(1(0(3(z0)))))))))))), 2'(2(0(3(0(1(0(1(1(0(3(z0))))))))))), 2'(0(3(0(1(0(1(1(0(3(z0)))))))))), 0'(3(0(1(0(1(1(0(3(z0))))))))), 3'(0(1(0(1(1(0(3(z0)))))))), 0'(1(0(1(1(0(3(z0))))))), 1'(0(1(1(0(3(z0)))))), 0'(1(1(0(3(z0))))), 1'(1(0(3(z0)))), 1'(0(3(z0))), 0'(3(z0)), 3'(z0))
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   3'(c_3(c_2(c_0(c_3(c_2(c_1(c_2(c_2(c_1(c_2(c_0(c_1(c_2(c_3(c_3(c_2(c_0(z0)))))))))))))))))) -> c86(2'(0(3(3(1(2(1(2(1(0(2(3(3(2(3(2(2(0(z0)))))))))))))))))), 0'(3(3(1(2(1(2(1(0(2(3(3(2(3(2(2(0(z0))))))))))))))))), 3'(3(1(2(1(2(1(0(2(3(3(2(3(2(2(0(z0)))))))))))))))), 3'(1(2(1(2(1(0(2(3(3(2(3(2(2(0(z0))))))))))))))), 1'(2(1(2(1(0(2(3(3(2(3(2(2(0(z0)))))))))))))), 2'(1(2(1(0(2(3(3(2(3(2(2(0(z0))))))))))))), 1'(2(1(0(2(3(3(2(3(2(2(0(z0)))))))))))), 2'(1(0(2(3(3(2(3(2(2(0(z0))))))))))), 1'(0(2(3(3(2(3(2(2(0(z0)))))))))), 0'(2(3(3(2(3(2(2(0(z0))))))))), 2'(3(3(2(3(2(2(0(z0)))))))), 3'(3(2(3(2(2(0(z0))))))), 3'(2(3(2(2(0(z0)))))), 2'(3(2(2(0(z0))))), 3'(2(2(0(z0)))), 2'(2(0(z0))), 2'(0(z0)), 0'(z0))
   3'(c_2(c_1(c_3(c_2(c_2(c_3(c_3(c_3(c_2(c_1(c_2(c_0(c_1(c_0(c_1(c_1(c_2(z0)))))))))))))))))) -> c87(2'(3(1(1(0(2(2(0(3(3(3(1(2(3(1(2(1(2(z0)))))))))))))))))), 3'(1(1(0(2(2(0(3(3(3(1(2(3(1(2(1(2(z0))))))))))))))))), 1'(1(0(2(2(0(3(3(3(1(2(3(1(2(1(2(z0)))))))))))))))), 1'(0(2(2(0(3(3(3(1(2(3(1(2(1(2(z0))))))))))))))), 0'(2(2(0(3(3(3(1(2(3(1(2(1(2(z0)))))))))))))), 2'(2(0(3(3(3(1(2(3(1(2(1(2(z0))))))))))))), 2'(0(3(3(3(1(2(3(1(2(1(2(z0)))))))))))), 0'(3(3(3(1(2(3(1(2(1(2(z0))))))))))), 3'(3(3(1(2(3(1(2(1(2(z0)))))))))), 3'(3(1(2(3(1(2(1(2(z0))))))))), 3'(1(2(3(1(2(1(2(z0)))))))), 1'(2(3(1(2(1(2(z0))))))), 2'(3(1(2(1(2(z0)))))), 3'(1(2(1(2(z0))))), 1'(2(1(2(z0)))), 2'(1(2(z0))), 1'(2(z0)), 2'(z0))
   3'(c_0(c_3(c_0(c_1(c_3(c_0(c_2(c_0(c_1(c_1(c_0(c_1(c_0(c_2(c_3(c_0(c_3(z0)))))))))))))))))) -> c88(3'(0(0(2(1(1(0(1(0(3(2(1(0(0(3(3(0(3(z0)))))))))))))))))), 0'(0(2(1(1(0(1(0(3(2(1(0(0(3(3(0(3(z0))))))))))))))))), 0'(2(1(1(0(1(0(3(2(1(0(0(3(3(0(3(z0)))))))))))))))), 2'(1(1(0(1(0(3(2(1(0(0(3(3(0(3(z0))))))))))))))), 1'(1(0(1(0(3(2(1(0(0(3(3(0(3(z0)))))))))))))), 1'(0(1(0(3(2(1(0(0(3(3(0(3(z0))))))))))))), 0'(1(0(3(2(1(0(0(3(3(0(3(z0)))))))))))), 1'(0(3(2(1(0(0(3(3(0(3(z0))))))))))), 0'(3(2(1(0(0(3(3(0(3(z0)))))))))), 3'(2(1(0(0(3(3(0(3(z0))))))))), 2'(1(0(0(3(3(0(3(z0)))))))), 1'(0(0(3(3(0(3(z0))))))), 0'(0(3(3(0(3(z0)))))), 0'(3(3(0(3(z0))))), 3'(3(0(3(z0)))), 3'(0(3(z0))), 0'(3(z0)), 3'(z0))
   3'(c_2(c_0(c_2(c_2(c_0(c_0(c_2(c_3(c_0(c_2(c_3(c_0(c_1(c_2(c_2(c_0(c_2(z0)))))))))))))))))) -> c89(2'(0(3(2(2(2(0(3(2(0(2(1(3(2(0(0(0(2(z0)))))))))))))))))), 0'(3(2(2(2(0(3(2(0(2(1(3(2(0(0(0(2(z0))))))))))))))))), 3'(2(2(2(0(3(2(0(2(1(3(2(0(0(0(2(z0)))))))))))))))), 2'(2(2(0(3(2(0(2(1(3(2(0(0(0(2(z0))))))))))))))), 2'(2(0(3(2(0(2(1(3(2(0(0(0(2(z0)))))))))))))), 2'(0(3(2(0(2(1(3(2(0(0(0(2(z0))))))))))))), 0'(3(2(0(2(1(3(2(0(0(0(2(z0)))))))))))), 3'(2(0(2(1(3(2(0(0(0(2(z0))))))))))), 2'(0(2(1(3(2(0(0(0(2(z0)))))))))), 0'(2(1(3(2(0(0(0(2(z0))))))))), 2'(1(3(2(0(0(0(2(z0)))))))), 1'(3(2(0(0(0(2(z0))))))), 3'(2(0(0(0(2(z0)))))), 2'(0(0(0(2(z0))))), 0'(0(0(2(z0)))), 0'(0(2(z0))), 0'(2(z0)), 2'(z0))
   3'(c_2(c_3(c_2(c_1(c_3(c_0(c_1(c_2(c_1(c_2(c_2(c_1(c_0(c_1(c_1(c_0(c_0(z0)))))))))))))))))) -> c90(3'(2(2(0(1(1(1(1(1(0(0(0(3(2(2(1(3(2(z0)))))))))))))))))), 2'(2(0(1(1(1(1(1(0(0(0(3(2(2(1(3(2(z0))))))))))))))))), 2'(0(1(1(1(1(1(0(0(0(3(2(2(1(3(2(z0)))))))))))))))), 0'(1(1(1(1(1(0(0(0(3(2(2(1(3(2(z0))))))))))))))), 1'(1(1(1(1(0(0(0(3(2(2(1(3(2(z0)))))))))))))), 1'(1(1(1(0(0(0(3(2(2(1(3(2(z0))))))))))))), 1'(1(1(0(0(0(3(2(2(1(3(2(z0)))))))))))), 1'(1(0(0(0(3(2(2(1(3(2(z0))))))))))), 1'(0(0(0(3(2(2(1(3(2(z0)))))))))), 0'(0(0(3(2(2(1(3(2(z0))))))))), 0'(0(3(2(2(1(3(2(z0)))))))), 0'(3(2(2(1(3(2(z0))))))), 3'(2(2(1(3(2(z0)))))), 2'(2(1(3(2(z0))))), 2'(1(3(2(z0)))), 1'(3(2(z0))), 3'(2(z0)), 2'(z0))
   3'(c_2(c_3(c_1(c_1(c_1(c_3(c_2(c_2(c_1(c_2(c_1(c_0(c_0(c_3(c_1(c_3(c_3(z0)))))))))))))))))) -> c91(3'(2(3(2(0(3(1(1(2(3(2(0(1(3(1(1(1(3(z0)))))))))))))))))), 2'(3(2(0(3(1(1(2(3(2(0(1(3(1(1(1(3(z0))))))))))))))))), 3'(2(0(3(1(1(2(3(2(0(1(3(1(1(1(3(z0)))))))))))))))), 2'(0(3(1(1(2(3(2(0(1(3(1(1(1(3(z0))))))))))))))), 0'(3(1(1(2(3(2(0(1(3(1(1(1(3(z0)))))))))))))), 3'(1(1(2(3(2(0(1(3(1(1(1(3(z0))))))))))))), 1'(1(2(3(2(0(1(3(1(1(1(3(z0)))))))))))), 1'(2(3(2(0(1(3(1(1(1(3(z0))))))))))), 2'(3(2(0(1(3(1(1(1(3(z0)))))))))), 3'(2(0(1(3(1(1(1(3(z0))))))))), 2'(0(1(3(1(1(1(3(z0)))))))), 0'(1(3(1(1(1(3(z0))))))), 1'(3(1(1(1(3(z0)))))), 3'(1(1(1(3(z0))))), 1'(1(1(3(z0)))), 1'(1(3(z0))), 1'(3(z0)), 3'(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, c21_18, c22_18, c23_18, c24_18, c25_18, c26_18, c27_18, c28_18, c29_18, c30_18, c31_18, c32_18, c33_18, c34_18, 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_18, c57_18, c58_18, c60_18, c61_18, c62_18, c63_18, c64_18, c65_18, c66_18, c67_18, c68_18, c69_18, c70_18, c71_18, c72_18, c73_18, c74_18, c75_18, c76_18, c77_18, c78_18, c79_18, c80_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_3(c_0(c_0(c_2(c_1(c_0(c_0(c_2(c_1(c_2(c_2(c_3(c_2(c_0(c_0(c_2(c_0(z0)))))))))))))))))) -> 0(2(0(0(0(2(0(3(0(2(2(0(1(1(3(2(2(0(z0))))))))))))))))))
   0(c_0(c_3(c_3(c_0(c_2(c_3(c_0(c_3(c_0(c_2(c_1(c_0(c_0(c_0(c_3(c_3(c_0(z0)))))))))))))))))) -> 0(0(3(1(0(3(0(0(3(3(0(3(3(0(0(2(0(2(z0))))))))))))))))))
   0(c_0(c_1(c_1(c_2(c_1(c_3(c_1(c_3(c_1(c_1(c_1(c_2(c_2(c_1(c_0(c_2(c_2(z0)))))))))))))))))) -> 2(1(1(1(1(0(3(1(1(1(2(0(3(1(0(2(2(2(z0))))))))))))))))))
   0(c_3(c_3(c_0(c_0(c_0(c_1(c_3(c_2(c_2(c_3(c_2(c_1(c_3(c_0(c_0(c_2(c_1(z0)))))))))))))))))) -> 0(2(2(0(0(3(0(2(3(1(0(3(1(0(3(2(3(1(z0))))))))))))))))))
   0(c_0(c_0(c_0(c_1(c_1(c_3(c_2(c_3(c_3(c_0(c_1(c_1(c_2(c_0(c_1(c_3(c_1(z0)))))))))))))))))) -> 0(0(0(1(1(1(0(1(3(3(1(0(3(2(0(2(3(1(z0))))))))))))))))))
   0(c_2(c_1(c_2(c_1(c_1(c_2(c_3(c_2(c_1(c_0(c_0(c_1(c_0(c_0(c_3(c_0(c_3(z0)))))))))))))))))) -> 0(3(2(0(0(1(2(1(0(2(1(1(3(1(0(0(2(3(z0))))))))))))))))))
   0(c_0(c_0(c_2(c_3(c_0(c_0(c_0(c_0(c_0(c_0(c_1(c_1(c_0(c_3(c_0(c_0(c_0(z0)))))))))))))))))) -> 0(0(3(1(0(0(0(0(2(0(0(0(3(1(0(0(0(0(z0))))))))))))))))))
   0(c_3(c_2(c_0(c_3(c_0(c_0(c_1(c_2(c_1(c_2(c_0(c_1(c_2(c_1(c_3(c_0(c_0(z0)))))))))))))))))) -> 0(2(2(0(3(3(1(0(0(3(0(2(1(1(0(1(2(0(z0))))))))))))))))))
   0(c_2(c_0(c_2(c_1(c_1(c_2(c_1(c_2(c_0(c_0(c_3(c_2(c_2(c_3(c_0(c_0(c_3(z0)))))))))))))))))) -> 0(3(2(2(0(2(2(2(2(0(3(0(1(0(1(1(0(3(z0))))))))))))))))))
   0(c_2(c_3(c_1(c_2(c_3(c_2(c_1(c_0(c_1(c_0(c_0(c_3(c_1(c_3(c_1(c_2(c_3(z0)))))))))))))))))) -> 0(2(3(3(1(2(1(1(1(0(2(3(1(0(2(0(3(3(z0))))))))))))))))))
   0(c_2(c_0(c_1(c_3(c_0(c_0(c_1(c_3(c_0(c_2(c_0(c_1(c_3(c_1(c_1(c_3(c_1(z0)))))))))))))))))) -> 0(2(0(1(3(1(1(2(1(0(0(3(3(0(0(1(3(1(z0))))))))))))))))))
   1(z0) -> c_1(z0)
   1(c_0(c_0(c_1(c_0(c_0(c_3(c_3(c_0(c_0(c_2(c_1(c_2(c_1(c_3(c_3(c_1(c_3(z0)))))))))))))))))) -> 1(0(3(0(0(3(3(0(0(2(1(0(3(1(2(3(1(1(z0))))))))))))))))))
   1(c_3(c_3(c_0(c_3(c_2(c_1(c_1(c_1(c_0(c_1(c_3(c_2(c_3(c_1(c_1(c_2(c_1(z0)))))))))))))))))) -> 1(3(1(3(0(1(1(3(2(3(2(2(0(3(1(1(1(1(z0))))))))))))))))))
   1(c_2(c_3(c_1(c_3(c_0(c_1(c_2(c_2(c_0(c_2(c_0(c_1(c_1(c_1(c_1(c_0(c_1(z0)))))))))))))))))) -> 1(2(2(0(1(1(1(1(0(0(3(2(1(0(2(3(1(1(z0))))))))))))))))))
   1(c_0(c_3(c_1(c_2(c_0(c_3(c_3(c_2(c_1(c_2(c_0(c_0(c_1(c_0(c_2(c_1(c_3(z0)))))))))))))))))) -> 1(0(3(3(1(0(2(0(3(1(0(3(2(1(2(2(1(0(z0))))))))))))))))))
   1(c_1(c_3(c_2(c_1(c_0(c_0(c_3(c_3(c_1(c_1(c_3(c_2(c_0(c_1(c_2(c_1(c_1(z0)))))))))))))))))) -> 1(1(2(3(3(0(0(3(3(1(1(1(1(1(0(2(2(1(z0))))))))))))))))))
   1(c_1(c_2(c_0(c_3(c_0(c_2(c_1(c_3(c_3(c_0(c_3(c_3(c_3(c_3(c_3(c_1(c_2(z0)))))))))))))))))) -> 1(0(3(3(0(3(3(1(0(2(3(1(1(3(2(3(2(3(z0))))))))))))))))))
   1(c_3(c_0(c_3(c_0(c_1(c_3(c_1(c_2(c_1(c_0(c_2(c_1(c_1(c_3(c_0(c_1(c_1(z0)))))))))))))))))) -> 1(0(1(0(3(1(3(1(0(1(1(3(2(3(0(2(1(1(z0))))))))))))))))))
   1(c_3(c_3(c_3(c_1(c_2(c_0(c_1(c_2(c_0(c_0(c_2(c_1(c_3(c_3(c_3(c_0(c_2(z0)))))))))))))))))) -> 1(3(1(1(0(3(3(0(2(0(1(3(0(3(2(3(2(2(z0))))))))))))))))))
   1(c_1(c_2(c_1(c_0(c_0(c_3(c_0(c_3(c_1(c_3(c_0(c_1(c_3(c_1(c_3(c_3(c_3(z0)))))))))))))))))) -> 3(0(1(1(1(1(3(0(3(1(1(0(3(0(2(3(3(3(z0))))))))))))))))))
   1(c_3(c_0(c_1(c_3(c_1(c_2(c_1(c_2(c_1(c_2(c_2(c_2(c_1(c_3(c_0(c_1(c_3(z0)))))))))))))))))) -> 2(3(2(1(1(2(2(1(3(1(0(2(1(1(1(0(3(3(z0))))))))))))))))))
   1(c_2(c_2(c_3(c_3(c_2(c_0(c_1(c_3(c_1(c_2(c_0(c_3(c_0(c_3(c_2(c_0(c_2(z0)))))))))))))))))) -> 2(3(1(0(3(1(0(2(3(3(2(2(0(0(3(1(2(2(z0))))))))))))))))))
   1(c_3(c_2(c_1(c_0(c_1(c_2(c_1(c_3(c_1(c_1(c_3(c_3(c_3(c_0(c_2(c_1(c_3(z0)))))))))))))))))) -> 1(0(3(1(1(2(2(3(2(3(1(1(3(1(1(0(3(3(z0))))))))))))))))))
   1(c_3(c_3(c_1(c_3(c_2(c_2(c_2(c_2(c_2(c_0(c_1(c_2(c_2(c_0(c_3(c_0(c_3(z0)))))))))))))))))) -> 1(3(2(0(1(0(2(2(2(2(2(1(0(3(3(3(2(3(z0))))))))))))))))))
   1(c_1(c_2(c_0(c_3(c_0(c_1(c_3(c_0(c_2(c_3(c_3(c_3(c_2(c_2(c_3(c_0(c_3(z0)))))))))))))))))) -> 3(3(0(3(1(0(3(2(3(2(2(0(3(2(1(1(0(3(z0))))))))))))))))))
   2(z0) -> c_2(z0)
   2(c_1(c_0(c_1(c_1(c_2(c_2(c_3(c_3(c_2(c_1(c_2(c_1(c_2(c_2(c_3(c_0(c_2(z0)))))))))))))))))) -> 2(3(2(1(1(0(1(2(2(2(0(3(2(2(1(1(3(2(z0))))))))))))))))))
   2(c_0(c_3(c_2(c_0(c_3(c_1(c_0(c_0(c_0(c_1(c_3(c_0(c_0(c_3(c_0(c_2(c_2(z0)))))))))))))))))) -> 2(3(0(0(0(0(0(0(0(2(3(1(3(1(0(3(2(2(z0))))))))))))))))))
   2(c_1(c_1(c_1(c_0(c_1(c_0(c_0(c_3(c_3(c_0(c_3(c_2(c_0(c_1(c_2(c_1(c_3(z0)))))))))))))))))) -> 2(2(3(0(3(1(0(0(3(0(1(1(1(1(2(1(0(3(z0))))))))))))))))))
   2(c_2(c_1(c_3(c_0(c_1(c_3(c_0(c_1(c_2(c_0(c_2(c_2(c_1(c_3(c_2(c_2(c_2(z0)))))))))))))))))) -> 1(1(2(2(3(3(3(2(2(0(2(0(1(0(2(2(1(2(z0))))))))))))))))))
   2(c_1(c_0(c_0(c_3(c_0(c_0(c_0(c_1(c_3(c_0(c_1(c_3(c_0(c_1(c_3(c_2(c_1(z0)))))))))))))))))) -> 3(0(0(0(1(1(2(3(3(0(0(3(0(1(0(2(1(1(z0))))))))))))))))))
   2(c_2(c_1(c_2(c_3(c_2(c_1(c_1(c_1(c_0(c_0(c_3(c_3(c_1(c_2(c_2(c_1(c_3(z0)))))))))))))))))) -> 2(2(1(1(1(2(1(2(3(2(3(1(3(1(0(2(0(3(z0))))))))))))))))))
   2(c_1(c_1(c_3(c_0(c_2(c_1(c_3(c_2(c_2(c_3(c_3(c_3(c_1(c_3(c_2(c_3(c_3(z0)))))))))))))))))) -> 2(2(3(3(1(2(1(0(1(1(3(3(2(3(3(2(3(3(z0))))))))))))))))))
   2(c_1(c_3(c_0(c_3(c_0(c_1(c_0(c_1(c_3(c_3(c_0(c_1(c_3(c_3(c_0(c_2(c_3(z0)))))))))))))))))) -> 2(3(3(0(3(3(0(0(3(2(3(1(1(1(0(3(1(0(z0))))))))))))))))))
   2(c_2(c_1(c_2(c_2(c_2(c_2(c_2(c_1(c_3(c_2(c_1(c_3(c_0(c_3(c_3(c_1(c_2(z0)))))))))))))))))) -> 2(2(0(2(2(2(3(1(2(1(3(2(3(1(1(2(3(2(z0))))))))))))))))))
   2(c_2(c_1(c_0(c_1(c_3(c_2(c_2(c_0(c_2(c_2(c_2(c_2(c_0(c_2(c_2(c_1(c_2(z0)))))))))))))))))) -> 2(3(2(2(2(1(2(2(2(0(1(0(2(2(0(2(1(2(z0))))))))))))))))))
   2(c_2(c_3(c_0(c_2(c_3(c_1(c_2(c_0(c_2(c_2(c_1(c_3(c_0(c_0(c_1(c_3(c_2(z0)))))))))))))))))) -> 3(0(2(1(3(2(2(1(1(2(0(3(0(0(2(2(3(2(z0))))))))))))))))))
   2(c_2(c_3(c_1(c_1(c_2(c_0(c_2(c_0(c_3(c_0(c_0(c_2(c_1(c_0(c_1(c_3(c_2(z0)))))))))))))))))) -> 2(2(3(2(2(0(3(0(3(1(0(1(1(1(2(2(0(0(z0))))))))))))))))))
   2(c_2(c_3(c_1(c_3(c_1(c_3(c_0(c_2(c_1(c_3(c_1(c_2(c_3(c_1(c_3(c_3(c_1(z0)))))))))))))))))) -> 2(3(3(1(3(1(3(3(2(3(1(1(2(3(2(1(0(1(z0))))))))))))))))))
   2(c_1(c_0(c_2(c_0(c_1(c_0(c_3(c_2(c_1(c_3(c_1(c_1(c_3(c_2(c_2(c_1(c_0(z0)))))))))))))))))) -> 2(3(1(2(3(2(2(1(2(0(0(1(0(3(1(1(1(0(z0))))))))))))))))))
   2(c_1(c_2(c_2(c_1(c_0(c_1(c_3(c_0(c_1(c_1(c_0(c_0(c_3(c_3(c_2(c_2(c_3(z0)))))))))))))))))) -> 2(0(3(1(0(1(3(1(3(2(2(2(2(0(1(1(0(3(z0))))))))))))))))))
   2(c_2(c_1(c_2(c_0(c_1(c_3(c_0(c_1(c_1(c_1(c_1(c_2(c_2(c_0(c_0(c_2(c_2(z0)))))))))))))))))) -> 2(0(0(1(1(0(2(2(3(1(2(2(1(2(1(1(0(2(z0))))))))))))))))))
   2(c_2(c_1(c_2(c_2(c_2(c_3(c_2(c_0(c_3(c_3(c_0(c_1(c_2(c_0(c_2(c_3(c_3(z0)))))))))))))))))) -> 2(3(1(3(1(0(2(2(3(0(2(2(2(3(2(2(0(3(z0))))))))))))))))))
   2(c_2(c_3(c_1(c_0(c_3(c_0(c_2(c_1(c_3(c_2(c_2(c_2(c_3(c_3(c_3(c_1(c_2(z0)))))))))))))))))) -> 1(1(0(3(2(2(3(2(2(1(0(2(3(3(2(3(3(2(z0))))))))))))))))))
   2(c_3(c_3(c_1(c_3(c_1(c_0(c_0(c_1(c_1(c_3(c_3(c_3(c_1(c_2(c_2(c_1(c_3(z0)))))))))))))))))) -> 2(2(1(3(3(1(1(0(3(1(1(1(3(3(2(3(0(3(z0))))))))))))))))))
   2(c_0(c_1(c_2(c_0(c_0(c_0(c_2(c_2(c_1(c_3(c_2(c_1(c_0(c_1(c_0(c_2(c_0(z0)))))))))))))))))) -> 2(0(2(0(1(0(1(1(0(1(0(3(2(0(2(2(2(0(z0))))))))))))))))))
   2(c_1(c_3(c_1(c_1(c_2(c_1(c_2(c_3(c_0(c_3(c_2(c_0(c_1(c_0(c_1(c_2(c_1(z0)))))))))))))))))) -> 3(0(0(3(1(1(1(1(1(2(3(2(0(2(2(1(2(1(z0))))))))))))))))))
   2(c_3(c_2(c_1(c_3(c_1(c_2(c_0(c_0(c_1(c_3(c_0(c_1(c_2(c_0(c_3(c_1(c_1(z0)))))))))))))))))) -> 1(2(3(1(1(0(1(3(0(0(0(3(2(3(2(2(1(1(z0))))))))))))))))))
   2(c_3(c_2(c_1(c_2(c_0(c_3(c_0(c_1(c_3(c_3(c_3(c_0(c_2(c_3(c_0(c_0(c_0(z0)))))))))))))))))) -> 3(0(0(3(0(2(3(1(1(3(3(2(2(0(3(0(2(0(z0))))))))))))))))))
   3(z0) -> c_3(z0)
   3(c_0(c_0(c_3(c_1(c_3(c_3(c_2(c_2(c_1(c_1(c_0(c_2(c_1(c_2(c_0(c_2(c_0(z0)))))))))))))))))) -> 3(3(1(0(2(0(2(0(2(0(2(3(1(1(3(1(0(2(z0))))))))))))))))))
   3(c_2(c_0(c_1(c_0(c_0(c_0(c_3(c_1(c_3(c_1(c_3(c_3(c_2(c_0(c_1(c_1(c_1(z0)))))))))))))))))) -> 3(2(0(3(0(1(1(1(0(1(1(0(3(0(3(2(3(1(z0))))))))))))))))))
   3(c_2(c_2(c_3(c_1(c_2(c_2(c_2(c_1(c_3(c_3(c_3(c_0(c_2(c_1(c_3(c_2(c_1(z0)))))))))))))))))) -> 3(2(2(1(2(2(2(3(2(3(3(1(1(3(3(0(2(1(z0))))))))))))))))))
   3(c_0(c_1(c_0(c_2(c_0(c_3(c_1(c_3(c_3(c_1(c_3(c_3(c_0(c_2(c_2(c_3(c_0(z0)))))))))))))))))) -> 3(0(2(1(0(3(0(3(3(0(2(3(3(1(1(2(3(0(z0))))))))))))))))))
   3(c_3(c_2(c_0(c_3(c_1(c_2(c_2(c_3(c_1(c_3(c_2(c_3(c_2(c_2(c_1(c_2(c_0(z0)))))))))))))))))) -> 3(2(1(3(2(3(2(0(3(2(2(3(2(3(1(1(2(0(z0))))))))))))))))))
   3(c_1(c_2(c_3(c_0(c_2(c_2(c_1(c_1(c_3(c_1(c_0(c_0(c_1(c_0(c_2(c_3(c_0(z0)))))))))))))))))) -> 3(1(0(0(0(3(1(1(0(3(1(2(1(2(2(3(2(0(z0))))))))))))))))))
   3(c_0(c_3(c_2(c_0(c_3(c_1(c_1(c_2(c_1(c_3(c_3(c_2(c_1(c_0(c_3(c_2(c_1(z0)))))))))))))))))) -> 2(3(3(0(1(1(1(0(2(1(2(3(3(0(3(3(2(1(z0))))))))))))))))))
   3(c_3(c_0(c_3(c_1(c_3(c_3(c_1(c_2(c_0(c_3(c_2(c_2(c_2(c_3(c_2(c_3(c_0(z0)))))))))))))))))) -> 3(2(3(1(0(3(2(1(2(3(3(3(0(0(3(3(2(2(z0))))))))))))))))))
   3(c_1(c_1(c_3(c_1(c_3(c_3(c_0(c_3(c_1(c_3(c_0(c_2(c_1(c_2(c_2(c_1(c_3(z0)))))))))))))))))) -> 3(3(3(2(0(2(1(1(2(3(1(1(3(0(3(1(1(3(z0))))))))))))))))))
   3(c_3(c_0(c_2(c_3(c_3(c_0(c_0(c_2(c_1(c_0(c_3(c_0(c_1(c_0(c_1(c_0(c_2(z0)))))))))))))))))) -> 2(0(3(3(3(0(2(0(3(1(1(1(0(0(0(0(3(2(z0))))))))))))))))))
   3(c_2(c_0(c_1(c_2(c_1(c_2(c_3(c_2(c_3(c_2(c_0(c_2(c_1(c_2(c_1(c_2(c_0(z0)))))))))))))))))) -> 2(1(1(3(2(0(2(3(1(1(2(2(0(2(3(2(2(0(z0))))))))))))))))))
   3(c_0(c_1(c_3(c_2(c_2(c_3(c_2(c_0(c_1(c_0(c_0(c_3(c_0(c_1(c_0(c_2(c_0(z0)))))))))))))))))) -> 2(3(1(2(0(2(0(3(1(0(0(0(3(2(3(1(0(0(z0))))))))))))))))))
   3(c_0(c_1(c_0(c_0(c_1(c_3(c_0(c_0(c_1(c_3(c_0(c_1(c_2(c_0(c_3(c_3(c_3(z0)))))))))))))))))) -> 1(1(3(0(0(3(1(0(1(0(2(3(0(3(3(0(0(3(z0))))))))))))))))))
   3(c_3(c_1(c_1(c_3(c_0(c_2(c_1(c_3(c_2(c_0(c_1(c_2(c_3(c_3(c_3(c_2(c_3(z0)))))))))))))))))) -> 3(1(0(3(1(1(0(3(3(2(2(2(2(3(1(3(3(3(z0))))))))))))))))))
   3(c_2(c_3(c_3(c_0(c_2(c_3(c_2(c_0(c_2(c_3(c_2(c_2(c_1(c_3(c_3(c_0(c_3(z0)))))))))))))))))) -> 3(3(2(2(3(3(2(3(0(0(3(2(2(1(0(3(2(3(z0))))))))))))))))))
   3(c_2(c_0(c_2(c_2(c_3(c_0(c_0(c_1(c_3(c_0(c_2(c_0(c_0(c_2(c_1(c_3(c_0(z0)))))))))))))))))) -> 2(1(0(0(0(0(3(2(3(0(3(1(3(0(0(2(2(2(z0))))))))))))))))))
   3(c_1(c_3(c_3(c_0(c_2(c_2(c_2(c_0(c_1(c_2(c_0(c_1(c_0(c_1(c_2(c_2(c_0(z0)))))))))))))))))) -> 3(2(3(2(0(3(1(2(1(1(1(2(0(0(0(2(2(0(z0))))))))))))))))))
   3(c_2(c_1(c_2(c_3(c_3(c_1(c_2(c_1(c_1(c_2(c_3(c_0(c_2(c_3(c_1(c_2(c_3(z0)))))))))))))))))) -> 2(0(2(3(1(1(3(3(1(2(2(2(3(3(1(1(2(3(z0))))))))))))))))))
   3(c_3(c_3(c_1(c_3(c_0(c_3(c_3(c_1(c_3(c_0(c_1(c_0(c_0(c_2(c_1(c_2(c_0(z0)))))))))))))))))) -> 3(3(1(1(0(1(3(3(0(3(3(0(2(2(3(1(0(0(z0))))))))))))))))))
   3(c_0(c_3(c_2(c_2(c_3(c_2(c_0(c_3(c_0(c_2(c_2(c_1(c_2(c_0(c_2(c_2(c_0(z0)))))))))))))))))) -> 3(2(1(0(0(3(0(2(3(2(2(0(2(2(3(2(2(0(z0))))))))))))))))))
   3(c_3(c_0(c_1(c_0(c_1(c_3(c_3(c_3(c_2(c_2(c_3(c_3(c_0(c_3(c_3(c_0(c_3(z0)))))))))))))))))) -> 3(3(3(0(2(3(1(0(1(3(2(3(3(3(3(0(0(3(z0))))))))))))))))))
   3(c_3(c_3(c_0(c_1(c_3(c_3(c_1(c_2(c_3(c_0(c_2(c_1(c_3(c_2(c_1(c_0(c_0(z0)))))))))))))))))) -> 3(1(1(1(3(0(1(3(0(2(3(2(3(0(3(2(3(0(z0))))))))))))))))))
   3(c_1(c_2(c_0(c_3(c_0(c_1(c_2(c_0(c_3(c_3(c_2(c_3(c_2(c_2(c_1(c_2(c_3(z0)))))))))))))))))) -> 3(1(3(2(1(1(3(2(0(0(0(3(2(2(2(3(2(3(z0))))))))))))))))))
   3(c_3(c_2(c_1(c_1(c_1(c_1(c_3(c_0(c_0(c_3(c_1(c_2(c_0(c_2(c_2(c_3(c_0(z0)))))))))))))))))) -> 3(3(1(1(0(1(0(2(0(1(1(2(3(3(2(2(3(0(z0))))))))))))))))))
   3(c_0(c_1(c_3(c_2(c_3(c_3(c_2(c_0(c_1(c_1(c_2(c_0(c_1(c_3(c_1(c_3(c_2(z0)))))))))))))))))) -> 3(2(3(3(0(3(1(1(0(2(2(3(1(2(1(1(0(3(z0))))))))))))))))))
   3(c_0(c_2(c_1(c_3(c_3(c_0(c_1(c_1(c_3(c_0(c_1(c_2(c_3(c_1(c_2(c_1(c_3(z0)))))))))))))))))) -> 0(1(1(2(3(2(3(1(0(2(1(1(1(0(3(3(3(3(z0))))))))))))))))))
   3(c_3(c_2(c_0(c_3(c_2(c_1(c_2(c_2(c_1(c_2(c_0(c_1(c_2(c_3(c_3(c_2(c_0(z0)))))))))))))))))) -> 2(0(3(3(1(2(1(2(1(0(2(3(3(2(3(2(2(0(z0))))))))))))))))))
   3(c_2(c_1(c_3(c_2(c_2(c_3(c_3(c_3(c_2(c_1(c_2(c_0(c_1(c_0(c_1(c_1(c_2(z0)))))))))))))))))) -> 2(3(1(1(0(2(2(0(3(3(3(1(2(3(1(2(1(2(z0))))))))))))))))))
   3(c_0(c_3(c_0(c_1(c_3(c_0(c_2(c_0(c_1(c_1(c_0(c_1(c_0(c_2(c_3(c_0(c_3(z0)))))))))))))))))) -> 3(0(0(2(1(1(0(1(0(3(2(1(0(0(3(3(0(3(z0))))))))))))))))))
   3(c_2(c_0(c_2(c_2(c_0(c_0(c_2(c_3(c_0(c_2(c_3(c_0(c_1(c_2(c_2(c_0(c_2(z0)))))))))))))))))) -> 2(0(3(2(2(2(0(3(2(0(2(1(3(2(0(0(0(2(z0))))))))))))))))))
   3(c_2(c_3(c_2(c_1(c_3(c_0(c_1(c_2(c_1(c_2(c_2(c_1(c_0(c_1(c_1(c_0(c_0(z0)))))))))))))))))) -> 3(2(2(0(1(1(1(1(1(0(0(0(3(2(2(1(3(2(z0))))))))))))))))))
   3(c_2(c_3(c_1(c_1(c_1(c_3(c_2(c_2(c_1(c_2(c_1(c_0(c_0(c_3(c_1(c_3(c_3(z0)))))))))))))))))) -> 3(2(3(2(0(3(1(1(2(3(2(0(1(3(1(1(1(3(z0))))))))))))))))))
Tuples:
   ENCARG(cons_3(z0)) -> c3(3'(encArg(z0)), ENCARG(z0))
   0'(c_3(c_0(c_0(c_2(c_1(c_0(c_0(c_2(c_1(c_2(c_2(c_3(c_2(c_0(c_0(c_2(c_0(z0)))))))))))))))))) -> c9(0'(2(0(0(0(2(0(3(0(2(2(0(1(1(3(2(2(0(z0)))))))))))))))))), 2'(0(0(0(2(0(3(0(2(2(0(1(1(3(2(2(0(z0))))))))))))))))), 0'(0(0(2(0(3(0(2(2(0(1(1(3(2(2(0(z0)))))))))))))))), 0'(0(2(0(3(0(2(2(0(1(1(3(2(2(0(z0))))))))))))))), 0'(2(0(3(0(2(2(0(1(1(3(2(2(0(z0)))))))))))))), 2'(0(3(0(2(2(0(1(1(3(2(2(0(z0))))))))))))), 0'(3(0(2(2(0(1(1(3(2(2(0(z0)))))))))))), 3'(0(2(2(0(1(1(3(2(2(0(z0))))))))))), 0'(2(2(0(1(1(3(2(2(0(z0)))))))))), 2'(2(0(1(1(3(2(2(0(z0))))))))), 2'(0(1(1(3(2(2(0(z0)))))))), 0'(1(1(3(2(2(0(z0))))))), 1'(1(3(2(2(0(z0)))))), 1'(3(2(2(0(z0))))), 3'(2(2(0(z0)))), 2'(2(0(z0))), 2'(0(z0)), 0'(z0))
   0'(c_0(c_3(c_3(c_0(c_2(c_3(c_0(c_3(c_0(c_2(c_1(c_0(c_0(c_0(c_3(c_3(c_0(z0)))))))))))))))))) -> c10(0'(0(3(1(0(3(0(0(3(3(0(3(3(0(0(2(0(2(z0)))))))))))))))))), 0'(3(1(0(3(0(0(3(3(0(3(3(0(0(2(0(2(z0))))))))))))))))), 3'(1(0(3(0(0(3(3(0(3(3(0(0(2(0(2(z0)))))))))))))))), 1'(0(3(0(0(3(3(0(3(3(0(0(2(0(2(z0))))))))))))))), 0'(3(0(0(3(3(0(3(3(0(0(2(0(2(z0)))))))))))))), 3'(0(0(3(3(0(3(3(0(0(2(0(2(z0))))))))))))), 0'(0(3(3(0(3(3(0(0(2(0(2(z0)))))))))))), 0'(3(3(0(3(3(0(0(2(0(2(z0))))))))))), 3'(3(0(3(3(0(0(2(0(2(z0)))))))))), 3'(0(3(3(0(0(2(0(2(z0))))))))), 0'(3(3(0(0(2(0(2(z0)))))))), 3'(3(0(0(2(0(2(z0))))))), 3'(0(0(2(0(2(z0)))))), 0'(0(2(0(2(z0))))), 0'(2(0(2(z0)))), 2'(0(2(z0))), 0'(2(z0)), 2'(z0))
   0'(c_0(c_1(c_1(c_2(c_1(c_3(c_1(c_3(c_1(c_1(c_1(c_2(c_2(c_1(c_0(c_2(c_2(z0)))))))))))))))))) -> c11(2'(1(1(1(1(0(3(1(1(1(2(0(3(1(0(2(2(2(z0)))))))))))))))))), 1'(1(1(1(0(3(1(1(1(2(0(3(1(0(2(2(2(z0))))))))))))))))), 1'(1(1(0(3(1(1(1(2(0(3(1(0(2(2(2(z0)))))))))))))))), 1'(1(0(3(1(1(1(2(0(3(1(0(2(2(2(z0))))))))))))))), 1'(0(3(1(1(1(2(0(3(1(0(2(2(2(z0)))))))))))))), 0'(3(1(1(1(2(0(3(1(0(2(2(2(z0))))))))))))), 3'(1(1(1(2(0(3(1(0(2(2(2(z0)))))))))))), 1'(1(1(2(0(3(1(0(2(2(2(z0))))))))))), 1'(1(2(0(3(1(0(2(2(2(z0)))))))))), 1'(2(0(3(1(0(2(2(2(z0))))))))), 2'(0(3(1(0(2(2(2(z0)))))))), 0'(3(1(0(2(2(2(z0))))))), 3'(1(0(2(2(2(z0)))))), 1'(0(2(2(2(z0))))), 0'(2(2(2(z0)))), 2'(2(2(z0))), 2'(2(z0)), 2'(z0))
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   1'(c_3(c_3(c_1(c_3(c_2(c_2(c_2(c_2(c_2(c_0(c_1(c_2(c_2(c_0(c_3(c_0(c_3(z0)))))))))))))))))) -> c33(1'(3(2(0(1(0(2(2(2(2(2(1(0(3(3(3(2(3(z0)))))))))))))))))), 3'(2(0(1(0(2(2(2(2(2(1(0(3(3(3(2(3(z0))))))))))))))))), 2'(0(1(0(2(2(2(2(2(1(0(3(3(3(2(3(z0)))))))))))))))), 0'(1(0(2(2(2(2(2(1(0(3(3(3(2(3(z0))))))))))))))), 1'(0(2(2(2(2(2(1(0(3(3(3(2(3(z0)))))))))))))), 0'(2(2(2(2(2(1(0(3(3(3(2(3(z0))))))))))))), 2'(2(2(2(2(1(0(3(3(3(2(3(z0)))))))))))), 2'(2(2(2(1(0(3(3(3(2(3(z0))))))))))), 2'(2(2(1(0(3(3(3(2(3(z0)))))))))), 2'(2(1(0(3(3(3(2(3(z0))))))))), 2'(1(0(3(3(3(2(3(z0)))))))), 1'(0(3(3(3(2(3(z0))))))), 0'(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))
   1'(c_1(c_2(c_0(c_3(c_0(c_1(c_3(c_0(c_2(c_3(c_3(c_3(c_2(c_2(c_3(c_0(c_3(z0)))))))))))))))))) -> c34(3'(3(0(3(1(0(3(2(3(2(2(0(3(2(1(1(0(3(z0)))))))))))))))))), 3'(0(3(1(0(3(2(3(2(2(0(3(2(1(1(0(3(z0))))))))))))))))), 0'(3(1(0(3(2(3(2(2(0(3(2(1(1(0(3(z0)))))))))))))))), 3'(1(0(3(2(3(2(2(0(3(2(1(1(0(3(z0))))))))))))))), 1'(0(3(2(3(2(2(0(3(2(1(1(0(3(z0)))))))))))))), 0'(3(2(3(2(2(0(3(2(1(1(0(3(z0))))))))))))), 3'(2(3(2(2(0(3(2(1(1(0(3(z0)))))))))))), 2'(3(2(2(0(3(2(1(1(0(3(z0))))))))))), 3'(2(2(0(3(2(1(1(0(3(z0)))))))))), 2'(2(0(3(2(1(1(0(3(z0))))))))), 2'(0(3(2(1(1(0(3(z0)))))))), 0'(3(2(1(1(0(3(z0))))))), 3'(2(1(1(0(3(z0)))))), 2'(1(1(0(3(z0))))), 1'(1(0(3(z0)))), 1'(0(3(z0))), 0'(3(z0)), 3'(z0))
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   3'(c_3(c_0(c_1(c_0(c_1(c_3(c_3(c_3(c_2(c_2(c_3(c_3(c_0(c_3(c_3(c_0(c_3(z0)))))))))))))))))) -> c80(3'(3(3(0(2(3(1(0(1(3(2(3(3(3(3(0(0(3(z0)))))))))))))))))), 3'(3(0(2(3(1(0(1(3(2(3(3(3(3(0(0(3(z0))))))))))))))))), 3'(0(2(3(1(0(1(3(2(3(3(3(3(0(0(3(z0)))))))))))))))), 0'(2(3(1(0(1(3(2(3(3(3(3(0(0(3(z0))))))))))))))), 2'(3(1(0(1(3(2(3(3(3(3(0(0(3(z0)))))))))))))), 3'(1(0(1(3(2(3(3(3(3(0(0(3(z0))))))))))))), 1'(0(1(3(2(3(3(3(3(0(0(3(z0)))))))))))), 0'(1(3(2(3(3(3(3(0(0(3(z0))))))))))), 1'(3(2(3(3(3(3(0(0(3(z0)))))))))), 3'(2(3(3(3(3(0(0(3(z0))))))))), 2'(3(3(3(3(0(0(3(z0)))))))), 3'(3(3(3(0(0(3(z0))))))), 3'(3(3(0(0(3(z0)))))), 3'(3(0(0(3(z0))))), 3'(0(0(3(z0)))), 0'(0(3(z0))), 0'(3(z0)), 3'(z0))
   3'(c_3(c_3(c_0(c_1(c_3(c_3(c_1(c_2(c_3(c_0(c_2(c_1(c_3(c_2(c_1(c_0(c_0(z0)))))))))))))))))) -> c81(3'(1(1(1(3(0(1(3(0(2(3(2(3(0(3(2(3(0(z0)))))))))))))))))), 1'(1(1(3(0(1(3(0(2(3(2(3(0(3(2(3(0(z0))))))))))))))))), 1'(1(3(0(1(3(0(2(3(2(3(0(3(2(3(0(z0)))))))))))))))), 1'(3(0(1(3(0(2(3(2(3(0(3(2(3(0(z0))))))))))))))), 3'(0(1(3(0(2(3(2(3(0(3(2(3(0(z0)))))))))))))), 0'(1(3(0(2(3(2(3(0(3(2(3(0(z0))))))))))))), 1'(3(0(2(3(2(3(0(3(2(3(0(z0)))))))))))), 3'(0(2(3(2(3(0(3(2(3(0(z0))))))))))), 0'(2(3(2(3(0(3(2(3(0(z0)))))))))), 2'(3(2(3(0(3(2(3(0(z0))))))))), 3'(2(3(0(3(2(3(0(z0)))))))), 2'(3(0(3(2(3(0(z0))))))), 3'(0(3(2(3(0(z0)))))), 0'(3(2(3(0(z0))))), 3'(2(3(0(z0)))), 2'(3(0(z0))), 3'(0(z0)), 0'(z0))
   3'(c_1(c_2(c_0(c_3(c_0(c_1(c_2(c_0(c_3(c_3(c_2(c_3(c_2(c_2(c_1(c_2(c_3(z0)))))))))))))))))) -> c82(3'(1(3(2(1(1(3(2(0(0(0(3(2(2(2(3(2(3(z0)))))))))))))))))), 1'(3(2(1(1(3(2(0(0(0(3(2(2(2(3(2(3(z0))))))))))))))))), 3'(2(1(1(3(2(0(0(0(3(2(2(2(3(2(3(z0)))))))))))))))), 2'(1(1(3(2(0(0(0(3(2(2(2(3(2(3(z0))))))))))))))), 1'(1(3(2(0(0(0(3(2(2(2(3(2(3(z0)))))))))))))), 1'(3(2(0(0(0(3(2(2(2(3(2(3(z0))))))))))))), 3'(2(0(0(0(3(2(2(2(3(2(3(z0)))))))))))), 2'(0(0(0(3(2(2(2(3(2(3(z0))))))))))), 0'(0(0(3(2(2(2(3(2(3(z0)))))))))), 0'(0(3(2(2(2(3(2(3(z0))))))))), 0'(3(2(2(2(3(2(3(z0)))))))), 3'(2(2(2(3(2(3(z0))))))), 2'(2(2(3(2(3(z0)))))), 2'(2(3(2(3(z0))))), 2'(3(2(3(z0)))), 3'(2(3(z0))), 2'(3(z0)), 3'(z0))
   3'(c_3(c_2(c_1(c_1(c_1(c_1(c_3(c_0(c_0(c_3(c_1(c_2(c_0(c_2(c_2(c_3(c_0(z0)))))))))))))))))) -> c83(3'(3(1(1(0(1(0(2(0(1(1(2(3(3(2(2(3(0(z0)))))))))))))))))), 3'(1(1(0(1(0(2(0(1(1(2(3(3(2(2(3(0(z0))))))))))))))))), 1'(1(0(1(0(2(0(1(1(2(3(3(2(2(3(0(z0)))))))))))))))), 1'(0(1(0(2(0(1(1(2(3(3(2(2(3(0(z0))))))))))))))), 0'(1(0(2(0(1(1(2(3(3(2(2(3(0(z0)))))))))))))), 1'(0(2(0(1(1(2(3(3(2(2(3(0(z0))))))))))))), 0'(2(0(1(1(2(3(3(2(2(3(0(z0)))))))))))), 2'(0(1(1(2(3(3(2(2(3(0(z0))))))))))), 0'(1(1(2(3(3(2(2(3(0(z0)))))))))), 1'(1(2(3(3(2(2(3(0(z0))))))))), 1'(2(3(3(2(2(3(0(z0)))))))), 2'(3(3(2(2(3(0(z0))))))), 3'(3(2(2(3(0(z0)))))), 3'(2(2(3(0(z0))))), 2'(2(3(0(z0)))), 2'(3(0(z0))), 3'(0(z0)), 0'(z0))
   3'(c_0(c_1(c_3(c_2(c_3(c_3(c_2(c_0(c_1(c_1(c_2(c_0(c_1(c_3(c_1(c_3(c_2(z0)))))))))))))))))) -> c84(3'(2(3(3(0(3(1(1(0(2(2(3(1(2(1(1(0(3(z0)))))))))))))))))), 2'(3(3(0(3(1(1(0(2(2(3(1(2(1(1(0(3(z0))))))))))))))))), 3'(3(0(3(1(1(0(2(2(3(1(2(1(1(0(3(z0)))))))))))))))), 3'(0(3(1(1(0(2(2(3(1(2(1(1(0(3(z0))))))))))))))), 0'(3(1(1(0(2(2(3(1(2(1(1(0(3(z0)))))))))))))), 3'(1(1(0(2(2(3(1(2(1(1(0(3(z0))))))))))))), 1'(1(0(2(2(3(1(2(1(1(0(3(z0)))))))))))), 1'(0(2(2(3(1(2(1(1(0(3(z0))))))))))), 0'(2(2(3(1(2(1(1(0(3(z0)))))))))), 2'(2(3(1(2(1(1(0(3(z0))))))))), 2'(3(1(2(1(1(0(3(z0)))))))), 3'(1(2(1(1(0(3(z0))))))), 1'(2(1(1(0(3(z0)))))), 2'(1(1(0(3(z0))))), 1'(1(0(3(z0)))), 1'(0(3(z0))), 0'(3(z0)), 3'(z0))
   3'(c_0(c_2(c_1(c_3(c_3(c_0(c_1(c_1(c_3(c_0(c_1(c_2(c_3(c_1(c_2(c_1(c_3(z0)))))))))))))))))) -> c85(0'(1(1(2(3(2(3(1(0(2(1(1(1(0(3(3(3(3(z0)))))))))))))))))), 1'(1(2(3(2(3(1(0(2(1(1(1(0(3(3(3(3(z0))))))))))))))))), 1'(2(3(2(3(1(0(2(1(1(1(0(3(3(3(3(z0)))))))))))))))), 2'(3(2(3(1(0(2(1(1(1(0(3(3(3(3(z0))))))))))))))), 3'(2(3(1(0(2(1(1(1(0(3(3(3(3(z0)))))))))))))), 2'(3(1(0(2(1(1(1(0(3(3(3(3(z0))))))))))))), 3'(1(0(2(1(1(1(0(3(3(3(3(z0)))))))))))), 1'(0(2(1(1(1(0(3(3(3(3(z0))))))))))), 0'(2(1(1(1(0(3(3(3(3(z0)))))))))), 2'(1(1(1(0(3(3(3(3(z0))))))))), 1'(1(1(0(3(3(3(3(z0)))))))), 1'(1(0(3(3(3(3(z0))))))), 1'(0(3(3(3(3(z0)))))), 0'(3(3(3(3(z0))))), 3'(3(3(3(z0)))), 3'(3(3(z0))), 3'(3(z0)), 3'(z0))
   3'(c_3(c_2(c_0(c_3(c_2(c_1(c_2(c_2(c_1(c_2(c_0(c_1(c_2(c_3(c_3(c_2(c_0(z0)))))))))))))))))) -> c86(2'(0(3(3(1(2(1(2(1(0(2(3(3(2(3(2(2(0(z0)))))))))))))))))), 0'(3(3(1(2(1(2(1(0(2(3(3(2(3(2(2(0(z0))))))))))))))))), 3'(3(1(2(1(2(1(0(2(3(3(2(3(2(2(0(z0)))))))))))))))), 3'(1(2(1(2(1(0(2(3(3(2(3(2(2(0(z0))))))))))))))), 1'(2(1(2(1(0(2(3(3(2(3(2(2(0(z0)))))))))))))), 2'(1(2(1(0(2(3(3(2(3(2(2(0(z0))))))))))))), 1'(2(1(0(2(3(3(2(3(2(2(0(z0)))))))))))), 2'(1(0(2(3(3(2(3(2(2(0(z0))))))))))), 1'(0(2(3(3(2(3(2(2(0(z0)))))))))), 0'(2(3(3(2(3(2(2(0(z0))))))))), 2'(3(3(2(3(2(2(0(z0)))))))), 3'(3(2(3(2(2(0(z0))))))), 3'(2(3(2(2(0(z0)))))), 2'(3(2(2(0(z0))))), 3'(2(2(0(z0)))), 2'(2(0(z0))), 2'(0(z0)), 0'(z0))
   3'(c_2(c_1(c_3(c_2(c_2(c_3(c_3(c_3(c_2(c_1(c_2(c_0(c_1(c_0(c_1(c_1(c_2(z0)))))))))))))))))) -> c87(2'(3(1(1(0(2(2(0(3(3(3(1(2(3(1(2(1(2(z0)))))))))))))))))), 3'(1(1(0(2(2(0(3(3(3(1(2(3(1(2(1(2(z0))))))))))))))))), 1'(1(0(2(2(0(3(3(3(1(2(3(1(2(1(2(z0)))))))))))))))), 1'(0(2(2(0(3(3(3(1(2(3(1(2(1(2(z0))))))))))))))), 0'(2(2(0(3(3(3(1(2(3(1(2(1(2(z0)))))))))))))), 2'(2(0(3(3(3(1(2(3(1(2(1(2(z0))))))))))))), 2'(0(3(3(3(1(2(3(1(2(1(2(z0)))))))))))), 0'(3(3(3(1(2(3(1(2(1(2(z0))))))))))), 3'(3(3(1(2(3(1(2(1(2(z0)))))))))), 3'(3(1(2(3(1(2(1(2(z0))))))))), 3'(1(2(3(1(2(1(2(z0)))))))), 1'(2(3(1(2(1(2(z0))))))), 2'(3(1(2(1(2(z0)))))), 3'(1(2(1(2(z0))))), 1'(2(1(2(z0)))), 2'(1(2(z0))), 1'(2(z0)), 2'(z0))
   3'(c_0(c_3(c_0(c_1(c_3(c_0(c_2(c_0(c_1(c_1(c_0(c_1(c_0(c_2(c_3(c_0(c_3(z0)))))))))))))))))) -> c88(3'(0(0(2(1(1(0(1(0(3(2(1(0(0(3(3(0(3(z0)))))))))))))))))), 0'(0(2(1(1(0(1(0(3(2(1(0(0(3(3(0(3(z0))))))))))))))))), 0'(2(1(1(0(1(0(3(2(1(0(0(3(3(0(3(z0)))))))))))))))), 2'(1(1(0(1(0(3(2(1(0(0(3(3(0(3(z0))))))))))))))), 1'(1(0(1(0(3(2(1(0(0(3(3(0(3(z0)))))))))))))), 1'(0(1(0(3(2(1(0(0(3(3(0(3(z0))))))))))))), 0'(1(0(3(2(1(0(0(3(3(0(3(z0)))))))))))), 1'(0(3(2(1(0(0(3(3(0(3(z0))))))))))), 0'(3(2(1(0(0(3(3(0(3(z0)))))))))), 3'(2(1(0(0(3(3(0(3(z0))))))))), 2'(1(0(0(3(3(0(3(z0)))))))), 1'(0(0(3(3(0(3(z0))))))), 0'(0(3(3(0(3(z0)))))), 0'(3(3(0(3(z0))))), 3'(3(0(3(z0)))), 3'(0(3(z0))), 0'(3(z0)), 3'(z0))
   3'(c_2(c_0(c_2(c_2(c_0(c_0(c_2(c_3(c_0(c_2(c_3(c_0(c_1(c_2(c_2(c_0(c_2(z0)))))))))))))))))) -> c89(2'(0(3(2(2(2(0(3(2(0(2(1(3(2(0(0(0(2(z0)))))))))))))))))), 0'(3(2(2(2(0(3(2(0(2(1(3(2(0(0(0(2(z0))))))))))))))))), 3'(2(2(2(0(3(2(0(2(1(3(2(0(0(0(2(z0)))))))))))))))), 2'(2(2(0(3(2(0(2(1(3(2(0(0(0(2(z0))))))))))))))), 2'(2(0(3(2(0(2(1(3(2(0(0(0(2(z0)))))))))))))), 2'(0(3(2(0(2(1(3(2(0(0(0(2(z0))))))))))))), 0'(3(2(0(2(1(3(2(0(0(0(2(z0)))))))))))), 3'(2(0(2(1(3(2(0(0(0(2(z0))))))))))), 2'(0(2(1(3(2(0(0(0(2(z0)))))))))), 0'(2(1(3(2(0(0(0(2(z0))))))))), 2'(1(3(2(0(0(0(2(z0)))))))), 1'(3(2(0(0(0(2(z0))))))), 3'(2(0(0(0(2(z0)))))), 2'(0(0(0(2(z0))))), 0'(0(0(2(z0)))), 0'(0(2(z0))), 0'(2(z0)), 2'(z0))
   3'(c_2(c_3(c_2(c_1(c_3(c_0(c_1(c_2(c_1(c_2(c_2(c_1(c_0(c_1(c_1(c_0(c_0(z0)))))))))))))))))) -> c90(3'(2(2(0(1(1(1(1(1(0(0(0(3(2(2(1(3(2(z0)))))))))))))))))), 2'(2(0(1(1(1(1(1(0(0(0(3(2(2(1(3(2(z0))))))))))))))))), 2'(0(1(1(1(1(1(0(0(0(3(2(2(1(3(2(z0)))))))))))))))), 0'(1(1(1(1(1(0(0(0(3(2(2(1(3(2(z0))))))))))))))), 1'(1(1(1(1(0(0(0(3(2(2(1(3(2(z0)))))))))))))), 1'(1(1(1(0(0(0(3(2(2(1(3(2(z0))))))))))))), 1'(1(1(0(0(0(3(2(2(1(3(2(z0)))))))))))), 1'(1(0(0(0(3(2(2(1(3(2(z0))))))))))), 1'(0(0(0(3(2(2(1(3(2(z0)))))))))), 0'(0(0(3(2(2(1(3(2(z0))))))))), 0'(0(3(2(2(1(3(2(z0)))))))), 0'(3(2(2(1(3(2(z0))))))), 3'(2(2(1(3(2(z0)))))), 2'(2(1(3(2(z0))))), 2'(1(3(2(z0)))), 1'(3(2(z0))), 3'(2(z0)), 2'(z0))
   3'(c_2(c_3(c_1(c_1(c_1(c_3(c_2(c_2(c_1(c_2(c_1(c_0(c_0(c_3(c_1(c_3(c_3(z0)))))))))))))))))) -> c91(3'(2(3(2(0(3(1(1(2(3(2(0(1(3(1(1(1(3(z0)))))))))))))))))), 2'(3(2(0(3(1(1(2(3(2(0(1(3(1(1(1(3(z0))))))))))))))))), 3'(2(0(3(1(1(2(3(2(0(1(3(1(1(1(3(z0)))))))))))))))), 2'(0(3(1(1(2(3(2(0(1(3(1(1(1(3(z0))))))))))))))), 0'(3(1(1(2(3(2(0(1(3(1(1(1(3(z0)))))))))))))), 3'(1(1(2(3(2(0(1(3(1(1(1(3(z0))))))))))))), 1'(1(2(3(2(0(1(3(1(1(1(3(z0)))))))))))), 1'(2(3(2(0(1(3(1(1(1(3(z0))))))))))), 2'(3(2(0(1(3(1(1(1(3(z0)))))))))), 3'(2(0(1(3(1(1(1(3(z0))))))))), 2'(0(1(3(1(1(1(3(z0)))))))), 0'(1(3(1(1(1(3(z0))))))), 1'(3(1(1(1(3(z0)))))), 3'(1(1(1(3(z0))))), 1'(1(1(3(z0)))), 1'(1(3(z0))), 1'(3(z0)), 3'(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_0(c_0(c_1(c_1(c_3(c_2(c_3(c_3(c_0(c_1(c_1(c_2(c_0(c_1(c_3(c_1(z0)))))))))))))))))) -> c13(0'(0(0(1(1(1(0(1(3(3(1(0(3(2(0(2(3(1(z0)))))))))))))))))), 0'(0(1(1(1(0(1(3(3(1(0(3(2(0(2(3(1(z0))))))))))))))))), 0'(1(1(1(0(1(3(3(1(0(3(2(0(2(3(1(z0)))))))))))))))), 1'(1(1(0(1(3(3(1(0(3(2(0(2(3(1(z0))))))))))))))), 1'(1(0(1(3(3(1(0(3(2(0(2(3(1(z0)))))))))))))), 1'(0(1(3(3(1(0(3(2(0(2(3(1(z0))))))))))))), 0'(1(3(3(1(0(3(2(0(2(3(1(z0)))))))))))), 1'(3(3(1(0(3(2(0(2(3(1(z0))))))))))), 3'(3(1(0(3(2(0(2(3(1(z0)))))))))), 3'(1(0(3(2(0(2(3(1(z0))))))))), 1'(0(3(2(0(2(3(1(z0)))))))), 0'(3(2(0(2(3(1(z0))))))), 3'(2(0(2(3(1(z0)))))), 2'(0(2(3(1(z0))))), 0'(2(3(1(z0)))), 2'(3(1(z0))), 3'(1(z0)), 1'(z0))
   0'(c_2(c_1(c_2(c_1(c_1(c_2(c_3(c_2(c_1(c_0(c_0(c_1(c_0(c_0(c_3(c_0(c_3(z0)))))))))))))))))) -> c14(0'(3(2(0(0(1(2(1(0(2(1(1(3(1(0(0(2(3(z0)))))))))))))))))), 3'(2(0(0(1(2(1(0(2(1(1(3(1(0(0(2(3(z0))))))))))))))))), 2'(0(0(1(2(1(0(2(1(1(3(1(0(0(2(3(z0)))))))))))))))), 0'(0(1(2(1(0(2(1(1(3(1(0(0(2(3(z0))))))))))))))), 0'(1(2(1(0(2(1(1(3(1(0(0(2(3(z0)))))))))))))), 1'(2(1(0(2(1(1(3(1(0(0(2(3(z0))))))))))))), 2'(1(0(2(1(1(3(1(0(0(2(3(z0)))))))))))), 1'(0(2(1(1(3(1(0(0(2(3(z0))))))))))), 0'(2(1(1(3(1(0(0(2(3(z0)))))))))), 2'(1(1(3(1(0(0(2(3(z0))))))))), 1'(1(3(1(0(0(2(3(z0)))))))), 1'(3(1(0(0(2(3(z0))))))), 3'(1(0(0(2(3(z0)))))), 1'(0(0(2(3(z0))))), 0'(0(2(3(z0)))), 0'(2(3(z0))), 2'(3(z0)), 3'(z0))
   0'(c_0(c_0(c_2(c_3(c_0(c_0(c_0(c_0(c_0(c_0(c_1(c_1(c_0(c_3(c_0(c_0(c_0(z0)))))))))))))))))) -> c15(0'(0(3(1(0(0(0(0(2(0(0(0(3(1(0(0(0(0(z0)))))))))))))))))), 0'(3(1(0(0(0(0(2(0(0(0(3(1(0(0(0(0(z0))))))))))))))))), 3'(1(0(0(0(0(2(0(0(0(3(1(0(0(0(0(z0)))))))))))))))), 1'(0(0(0(0(2(0(0(0(3(1(0(0(0(0(z0))))))))))))))), 0'(0(0(0(2(0(0(0(3(1(0(0(0(0(z0)))))))))))))), 0'(0(0(2(0(0(0(3(1(0(0(0(0(z0))))))))))))), 0'(0(2(0(0(0(3(1(0(0(0(0(z0)))))))))))), 0'(2(0(0(0(3(1(0(0(0(0(z0))))))))))), 2'(0(0(0(3(1(0(0(0(0(z0)))))))))), 0'(0(0(3(1(0(0(0(0(z0))))))))), 0'(0(3(1(0(0(0(0(z0)))))))), 0'(3(1(0(0(0(0(z0))))))), 3'(1(0(0(0(0(z0)))))), 1'(0(0(0(0(z0))))), 0'(0(0(0(z0)))), 0'(0(0(z0))), 0'(0(z0)), 0'(z0))
   0'(c_3(c_2(c_0(c_3(c_0(c_0(c_1(c_2(c_1(c_2(c_0(c_1(c_2(c_1(c_3(c_0(c_0(z0)))))))))))))))))) -> c16(0'(2(2(0(3(3(1(0(0(3(0(2(1(1(0(1(2(0(z0)))))))))))))))))), 2'(2(0(3(3(1(0(0(3(0(2(1(1(0(1(2(0(z0))))))))))))))))), 2'(0(3(3(1(0(0(3(0(2(1(1(0(1(2(0(z0)))))))))))))))), 0'(3(3(1(0(0(3(0(2(1(1(0(1(2(0(z0))))))))))))))), 3'(3(1(0(0(3(0(2(1(1(0(1(2(0(z0)))))))))))))), 3'(1(0(0(3(0(2(1(1(0(1(2(0(z0))))))))))))), 1'(0(0(3(0(2(1(1(0(1(2(0(z0)))))))))))), 0'(0(3(0(2(1(1(0(1(2(0(z0))))))))))), 0'(3(0(2(1(1(0(1(2(0(z0)))))))))), 3'(0(2(1(1(0(1(2(0(z0))))))))), 0'(2(1(1(0(1(2(0(z0)))))))), 2'(1(1(0(1(2(0(z0))))))), 1'(1(0(1(2(0(z0)))))), 1'(0(1(2(0(z0))))), 0'(1(2(0(z0)))), 1'(2(0(z0))), 2'(0(z0)), 0'(z0))
   0'(c_2(c_0(c_2(c_1(c_1(c_2(c_1(c_2(c_0(c_0(c_3(c_2(c_2(c_3(c_0(c_0(c_3(z0)))))))))))))))))) -> c17(0'(3(2(2(0(2(2(2(2(0(3(0(1(0(1(1(0(3(z0)))))))))))))))))), 3'(2(2(0(2(2(2(2(0(3(0(1(0(1(1(0(3(z0))))))))))))))))), 2'(2(0(2(2(2(2(0(3(0(1(0(1(1(0(3(z0)))))))))))))))), 2'(0(2(2(2(2(0(3(0(1(0(1(1(0(3(z0))))))))))))))), 0'(2(2(2(2(0(3(0(1(0(1(1(0(3(z0)))))))))))))), 2'(2(2(2(0(3(0(1(0(1(1(0(3(z0))))))))))))), 2'(2(2(0(3(0(1(0(1(1(0(3(z0)))))))))))), 2'(2(0(3(0(1(0(1(1(0(3(z0))))))))))), 2'(0(3(0(1(0(1(1(0(3(z0)))))))))), 0'(3(0(1(0(1(1(0(3(z0))))))))), 3'(0(1(0(1(1(0(3(z0)))))))), 0'(1(0(1(1(0(3(z0))))))), 1'(0(1(1(0(3(z0)))))), 0'(1(1(0(3(z0))))), 1'(1(0(3(z0)))), 1'(0(3(z0))), 0'(3(z0)), 3'(z0))
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   1'(c_2(c_2(c_3(c_3(c_2(c_0(c_1(c_3(c_1(c_2(c_0(c_3(c_0(c_3(c_2(c_0(c_2(z0)))))))))))))))))) -> c31(2'(3(1(0(3(1(0(2(3(3(2(2(0(0(3(1(2(2(z0)))))))))))))))))), 3'(1(0(3(1(0(2(3(3(2(2(0(0(3(1(2(2(z0))))))))))))))))), 1'(0(3(1(0(2(3(3(2(2(0(0(3(1(2(2(z0)))))))))))))))), 0'(3(1(0(2(3(3(2(2(0(0(3(1(2(2(z0))))))))))))))), 3'(1(0(2(3(3(2(2(0(0(3(1(2(2(z0)))))))))))))), 1'(0(2(3(3(2(2(0(0(3(1(2(2(z0))))))))))))), 0'(2(3(3(2(2(0(0(3(1(2(2(z0)))))))))))), 2'(3(3(2(2(0(0(3(1(2(2(z0))))))))))), 3'(3(2(2(0(0(3(1(2(2(z0)))))))))), 3'(2(2(0(0(3(1(2(2(z0))))))))), 2'(2(0(0(3(1(2(2(z0)))))))), 2'(0(0(3(1(2(2(z0))))))), 0'(0(3(1(2(2(z0)))))), 0'(3(1(2(2(z0))))), 3'(1(2(2(z0)))), 1'(2(2(z0))), 2'(2(z0)), 2'(z0))
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   1'(c_3(c_3(c_1(c_3(c_2(c_2(c_2(c_2(c_2(c_0(c_1(c_2(c_2(c_0(c_3(c_0(c_3(z0)))))))))))))))))) -> c33(1'(3(2(0(1(0(2(2(2(2(2(1(0(3(3(3(2(3(z0)))))))))))))))))), 3'(2(0(1(0(2(2(2(2(2(1(0(3(3(3(2(3(z0))))))))))))))))), 2'(0(1(0(2(2(2(2(2(1(0(3(3(3(2(3(z0)))))))))))))))), 0'(1(0(2(2(2(2(2(1(0(3(3(3(2(3(z0))))))))))))))), 1'(0(2(2(2(2(2(1(0(3(3(3(2(3(z0)))))))))))))), 0'(2(2(2(2(2(1(0(3(3(3(2(3(z0))))))))))))), 2'(2(2(2(2(1(0(3(3(3(2(3(z0)))))))))))), 2'(2(2(2(1(0(3(3(3(2(3(z0))))))))))), 2'(2(2(1(0(3(3(3(2(3(z0)))))))))), 2'(2(1(0(3(3(3(2(3(z0))))))))), 2'(1(0(3(3(3(2(3(z0)))))))), 1'(0(3(3(3(2(3(z0))))))), 0'(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))
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   3'(c_3(c_3(c_0(c_1(c_3(c_3(c_1(c_2(c_3(c_0(c_2(c_1(c_3(c_2(c_1(c_0(c_0(z0)))))))))))))))))) -> c81(3'(1(1(1(3(0(1(3(0(2(3(2(3(0(3(2(3(0(z0)))))))))))))))))), 1'(1(1(3(0(1(3(0(2(3(2(3(0(3(2(3(0(z0))))))))))))))))), 1'(1(3(0(1(3(0(2(3(2(3(0(3(2(3(0(z0)))))))))))))))), 1'(3(0(1(3(0(2(3(2(3(0(3(2(3(0(z0))))))))))))))), 3'(0(1(3(0(2(3(2(3(0(3(2(3(0(z0)))))))))))))), 0'(1(3(0(2(3(2(3(0(3(2(3(0(z0))))))))))))), 1'(3(0(2(3(2(3(0(3(2(3(0(z0)))))))))))), 3'(0(2(3(2(3(0(3(2(3(0(z0))))))))))), 0'(2(3(2(3(0(3(2(3(0(z0)))))))))), 2'(3(2(3(0(3(2(3(0(z0))))))))), 3'(2(3(0(3(2(3(0(z0)))))))), 2'(3(0(3(2(3(0(z0))))))), 3'(0(3(2(3(0(z0)))))), 0'(3(2(3(0(z0))))), 3'(2(3(0(z0)))), 2'(3(0(z0))), 3'(0(z0)), 0'(z0))
   3'(c_1(c_2(c_0(c_3(c_0(c_1(c_2(c_0(c_3(c_3(c_2(c_3(c_2(c_2(c_1(c_2(c_3(z0)))))))))))))))))) -> c82(3'(1(3(2(1(1(3(2(0(0(0(3(2(2(2(3(2(3(z0)))))))))))))))))), 1'(3(2(1(1(3(2(0(0(0(3(2(2(2(3(2(3(z0))))))))))))))))), 3'(2(1(1(3(2(0(0(0(3(2(2(2(3(2(3(z0)))))))))))))))), 2'(1(1(3(2(0(0(0(3(2(2(2(3(2(3(z0))))))))))))))), 1'(1(3(2(0(0(0(3(2(2(2(3(2(3(z0)))))))))))))), 1'(3(2(0(0(0(3(2(2(2(3(2(3(z0))))))))))))), 3'(2(0(0(0(3(2(2(2(3(2(3(z0)))))))))))), 2'(0(0(0(3(2(2(2(3(2(3(z0))))))))))), 0'(0(0(3(2(2(2(3(2(3(z0)))))))))), 0'(0(3(2(2(2(3(2(3(z0))))))))), 0'(3(2(2(2(3(2(3(z0)))))))), 3'(2(2(2(3(2(3(z0))))))), 2'(2(2(3(2(3(z0)))))), 2'(2(3(2(3(z0))))), 2'(3(2(3(z0)))), 3'(2(3(z0))), 2'(3(z0)), 3'(z0))
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K tuples:none
Defined Rule Symbols:   encArg_1, 0_1, 1_1, 2_1, 3_1

Defined Pair Symbols:   ENCARG_1, 0'_1, 1'_1, 2'_1, 3'_1, ENCODE_0_1, ENCODE_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, c21_18, c22_18, c23_18, c24_18, c25_18, c26_18, c27_18, c28_18, c29_18, c30_18, c31_18, c32_18, c33_18, c34_18, 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_18, c57_18, c58_18, c60_18, c61_18, c62_18, c63_18, c64_18, c65_18, c66_18, c67_18, c68_18, c69_18, c70_18, c71_18, c72_18, c73_18, c74_18, c75_18, c76_18, c77_18, c78_18, c79_18, c80_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_3(c_0(c_0(c_2(c_1(c_0(c_0(c_2(c_1(c_2(c_2(c_3(c_2(c_0(c_0(c_2(c_0(z0)))))))))))))))))) -> 0(2(0(0(0(2(0(3(0(2(2(0(1(1(3(2(2(0(z0))))))))))))))))))
   0(c_0(c_3(c_3(c_0(c_2(c_3(c_0(c_3(c_0(c_2(c_1(c_0(c_0(c_0(c_3(c_3(c_0(z0)))))))))))))))))) -> 0(0(3(1(0(3(0(0(3(3(0(3(3(0(0(2(0(2(z0))))))))))))))))))
   0(c_0(c_1(c_1(c_2(c_1(c_3(c_1(c_3(c_1(c_1(c_1(c_2(c_2(c_1(c_0(c_2(c_2(z0)))))))))))))))))) -> 2(1(1(1(1(0(3(1(1(1(2(0(3(1(0(2(2(2(z0))))))))))))))))))
   0(c_3(c_3(c_0(c_0(c_0(c_1(c_3(c_2(c_2(c_3(c_2(c_1(c_3(c_0(c_0(c_2(c_1(z0)))))))))))))))))) -> 0(2(2(0(0(3(0(2(3(1(0(3(1(0(3(2(3(1(z0))))))))))))))))))
   0(c_0(c_0(c_0(c_1(c_1(c_3(c_2(c_3(c_3(c_0(c_1(c_1(c_2(c_0(c_1(c_3(c_1(z0)))))))))))))))))) -> 0(0(0(1(1(1(0(1(3(3(1(0(3(2(0(2(3(1(z0))))))))))))))))))
   0(c_2(c_1(c_2(c_1(c_1(c_2(c_3(c_2(c_1(c_0(c_0(c_1(c_0(c_0(c_3(c_0(c_3(z0)))))))))))))))))) -> 0(3(2(0(0(1(2(1(0(2(1(1(3(1(0(0(2(3(z0))))))))))))))))))
   0(c_0(c_0(c_2(c_3(c_0(c_0(c_0(c_0(c_0(c_0(c_1(c_1(c_0(c_3(c_0(c_0(c_0(z0)))))))))))))))))) -> 0(0(3(1(0(0(0(0(2(0(0(0(3(1(0(0(0(0(z0))))))))))))))))))
   0(c_3(c_2(c_0(c_3(c_0(c_0(c_1(c_2(c_1(c_2(c_0(c_1(c_2(c_1(c_3(c_0(c_0(z0)))))))))))))))))) -> 0(2(2(0(3(3(1(0(0(3(0(2(1(1(0(1(2(0(z0))))))))))))))))))
   0(c_2(c_0(c_2(c_1(c_1(c_2(c_1(c_2(c_0(c_0(c_3(c_2(c_2(c_3(c_0(c_0(c_3(z0)))))))))))))))))) -> 0(3(2(2(0(2(2(2(2(0(3(0(1(0(1(1(0(3(z0))))))))))))))))))
   0(c_2(c_3(c_1(c_2(c_3(c_2(c_1(c_0(c_1(c_0(c_0(c_3(c_1(c_3(c_1(c_2(c_3(z0)))))))))))))))))) -> 0(2(3(3(1(2(1(1(1(0(2(3(1(0(2(0(3(3(z0))))))))))))))))))
   0(c_2(c_0(c_1(c_3(c_0(c_0(c_1(c_3(c_0(c_2(c_0(c_1(c_3(c_1(c_1(c_3(c_1(z0)))))))))))))))))) -> 0(2(0(1(3(1(1(2(1(0(0(3(3(0(0(1(3(1(z0))))))))))))))))))
   1(z0) -> c_1(z0)
   1(c_0(c_0(c_1(c_0(c_0(c_3(c_3(c_0(c_0(c_2(c_1(c_2(c_1(c_3(c_3(c_1(c_3(z0)))))))))))))))))) -> 1(0(3(0(0(3(3(0(0(2(1(0(3(1(2(3(1(1(z0))))))))))))))))))
   1(c_3(c_3(c_0(c_3(c_2(c_1(c_1(c_1(c_0(c_1(c_3(c_2(c_3(c_1(c_1(c_2(c_1(z0)))))))))))))))))) -> 1(3(1(3(0(1(1(3(2(3(2(2(0(3(1(1(1(1(z0))))))))))))))))))
   1(c_2(c_3(c_1(c_3(c_0(c_1(c_2(c_2(c_0(c_2(c_0(c_1(c_1(c_1(c_1(c_0(c_1(z0)))))))))))))))))) -> 1(2(2(0(1(1(1(1(0(0(3(2(1(0(2(3(1(1(z0))))))))))))))))))
   1(c_0(c_3(c_1(c_2(c_0(c_3(c_3(c_2(c_1(c_2(c_0(c_0(c_1(c_0(c_2(c_1(c_3(z0)))))))))))))))))) -> 1(0(3(3(1(0(2(0(3(1(0(3(2(1(2(2(1(0(z0))))))))))))))))))
   1(c_1(c_3(c_2(c_1(c_0(c_0(c_3(c_3(c_1(c_1(c_3(c_2(c_0(c_1(c_2(c_1(c_1(z0)))))))))))))))))) -> 1(1(2(3(3(0(0(3(3(1(1(1(1(1(0(2(2(1(z0))))))))))))))))))
   1(c_1(c_2(c_0(c_3(c_0(c_2(c_1(c_3(c_3(c_0(c_3(c_3(c_3(c_3(c_3(c_1(c_2(z0)))))))))))))))))) -> 1(0(3(3(0(3(3(1(0(2(3(1(1(3(2(3(2(3(z0))))))))))))))))))
   1(c_3(c_0(c_3(c_0(c_1(c_3(c_1(c_2(c_1(c_0(c_2(c_1(c_1(c_3(c_0(c_1(c_1(z0)))))))))))))))))) -> 1(0(1(0(3(1(3(1(0(1(1(3(2(3(0(2(1(1(z0))))))))))))))))))
   1(c_3(c_3(c_3(c_1(c_2(c_0(c_1(c_2(c_0(c_0(c_2(c_1(c_3(c_3(c_3(c_0(c_2(z0)))))))))))))))))) -> 1(3(1(1(0(3(3(0(2(0(1(3(0(3(2(3(2(2(z0))))))))))))))))))
   1(c_1(c_2(c_1(c_0(c_0(c_3(c_0(c_3(c_1(c_3(c_0(c_1(c_3(c_1(c_3(c_3(c_3(z0)))))))))))))))))) -> 3(0(1(1(1(1(3(0(3(1(1(0(3(0(2(3(3(3(z0))))))))))))))))))
   1(c_3(c_0(c_1(c_3(c_1(c_2(c_1(c_2(c_1(c_2(c_2(c_2(c_1(c_3(c_0(c_1(c_3(z0)))))))))))))))))) -> 2(3(2(1(1(2(2(1(3(1(0(2(1(1(1(0(3(3(z0))))))))))))))))))
   1(c_2(c_2(c_3(c_3(c_2(c_0(c_1(c_3(c_1(c_2(c_0(c_3(c_0(c_3(c_2(c_0(c_2(z0)))))))))))))))))) -> 2(3(1(0(3(1(0(2(3(3(2(2(0(0(3(1(2(2(z0))))))))))))))))))
   1(c_3(c_2(c_1(c_0(c_1(c_2(c_1(c_3(c_1(c_1(c_3(c_3(c_3(c_0(c_2(c_1(c_3(z0)))))))))))))))))) -> 1(0(3(1(1(2(2(3(2(3(1(1(3(1(1(0(3(3(z0))))))))))))))))))
   1(c_3(c_3(c_1(c_3(c_2(c_2(c_2(c_2(c_2(c_0(c_1(c_2(c_2(c_0(c_3(c_0(c_3(z0)))))))))))))))))) -> 1(3(2(0(1(0(2(2(2(2(2(1(0(3(3(3(2(3(z0))))))))))))))))))
   1(c_1(c_2(c_0(c_3(c_0(c_1(c_3(c_0(c_2(c_3(c_3(c_3(c_2(c_2(c_3(c_0(c_3(z0)))))))))))))))))) -> 3(3(0(3(1(0(3(2(3(2(2(0(3(2(1(1(0(3(z0))))))))))))))))))
   2(z0) -> c_2(z0)
   2(c_1(c_0(c_1(c_1(c_2(c_2(c_3(c_3(c_2(c_1(c_2(c_1(c_2(c_2(c_3(c_0(c_2(z0)))))))))))))))))) -> 2(3(2(1(1(0(1(2(2(2(0(3(2(2(1(1(3(2(z0))))))))))))))))))
   2(c_0(c_3(c_2(c_0(c_3(c_1(c_0(c_0(c_0(c_1(c_3(c_0(c_0(c_3(c_0(c_2(c_2(z0)))))))))))))))))) -> 2(3(0(0(0(0(0(0(0(2(3(1(3(1(0(3(2(2(z0))))))))))))))))))
   2(c_1(c_1(c_1(c_0(c_1(c_0(c_0(c_3(c_3(c_0(c_3(c_2(c_0(c_1(c_2(c_1(c_3(z0)))))))))))))))))) -> 2(2(3(0(3(1(0(0(3(0(1(1(1(1(2(1(0(3(z0))))))))))))))))))
   2(c_2(c_1(c_3(c_0(c_1(c_3(c_0(c_1(c_2(c_0(c_2(c_2(c_1(c_3(c_2(c_2(c_2(z0)))))))))))))))))) -> 1(1(2(2(3(3(3(2(2(0(2(0(1(0(2(2(1(2(z0))))))))))))))))))
   2(c_1(c_0(c_0(c_3(c_0(c_0(c_0(c_1(c_3(c_0(c_1(c_3(c_0(c_1(c_3(c_2(c_1(z0)))))))))))))))))) -> 3(0(0(0(1(1(2(3(3(0(0(3(0(1(0(2(1(1(z0))))))))))))))))))
   2(c_2(c_1(c_2(c_3(c_2(c_1(c_1(c_1(c_0(c_0(c_3(c_3(c_1(c_2(c_2(c_1(c_3(z0)))))))))))))))))) -> 2(2(1(1(1(2(1(2(3(2(3(1(3(1(0(2(0(3(z0))))))))))))))))))
   2(c_1(c_1(c_3(c_0(c_2(c_1(c_3(c_2(c_2(c_3(c_3(c_3(c_1(c_3(c_2(c_3(c_3(z0)))))))))))))))))) -> 2(2(3(3(1(2(1(0(1(1(3(3(2(3(3(2(3(3(z0))))))))))))))))))
   2(c_1(c_3(c_0(c_3(c_0(c_1(c_0(c_1(c_3(c_3(c_0(c_1(c_3(c_3(c_0(c_2(c_3(z0)))))))))))))))))) -> 2(3(3(0(3(3(0(0(3(2(3(1(1(1(0(3(1(0(z0))))))))))))))))))
   2(c_2(c_1(c_2(c_2(c_2(c_2(c_2(c_1(c_3(c_2(c_1(c_3(c_0(c_3(c_3(c_1(c_2(z0)))))))))))))))))) -> 2(2(0(2(2(2(3(1(2(1(3(2(3(1(1(2(3(2(z0))))))))))))))))))
   2(c_2(c_1(c_0(c_1(c_3(c_2(c_2(c_0(c_2(c_2(c_2(c_2(c_0(c_2(c_2(c_1(c_2(z0)))))))))))))))))) -> 2(3(2(2(2(1(2(2(2(0(1(0(2(2(0(2(1(2(z0))))))))))))))))))
   2(c_2(c_3(c_0(c_2(c_3(c_1(c_2(c_0(c_2(c_2(c_1(c_3(c_0(c_0(c_1(c_3(c_2(z0)))))))))))))))))) -> 3(0(2(1(3(2(2(1(1(2(0(3(0(0(2(2(3(2(z0))))))))))))))))))
   2(c_2(c_3(c_1(c_1(c_2(c_0(c_2(c_0(c_3(c_0(c_0(c_2(c_1(c_0(c_1(c_3(c_2(z0)))))))))))))))))) -> 2(2(3(2(2(0(3(0(3(1(0(1(1(1(2(2(0(0(z0))))))))))))))))))
   2(c_2(c_3(c_1(c_3(c_1(c_3(c_0(c_2(c_1(c_3(c_1(c_2(c_3(c_1(c_3(c_3(c_1(z0)))))))))))))))))) -> 2(3(3(1(3(1(3(3(2(3(1(1(2(3(2(1(0(1(z0))))))))))))))))))
   2(c_1(c_0(c_2(c_0(c_1(c_0(c_3(c_2(c_1(c_3(c_1(c_1(c_3(c_2(c_2(c_1(c_0(z0)))))))))))))))))) -> 2(3(1(2(3(2(2(1(2(0(0(1(0(3(1(1(1(0(z0))))))))))))))))))
   2(c_1(c_2(c_2(c_1(c_0(c_1(c_3(c_0(c_1(c_1(c_0(c_0(c_3(c_3(c_2(c_2(c_3(z0)))))))))))))))))) -> 2(0(3(1(0(1(3(1(3(2(2(2(2(0(1(1(0(3(z0))))))))))))))))))
   2(c_2(c_1(c_2(c_0(c_1(c_3(c_0(c_1(c_1(c_1(c_1(c_2(c_2(c_0(c_0(c_2(c_2(z0)))))))))))))))))) -> 2(0(0(1(1(0(2(2(3(1(2(2(1(2(1(1(0(2(z0))))))))))))))))))
   2(c_2(c_1(c_2(c_2(c_2(c_3(c_2(c_0(c_3(c_3(c_0(c_1(c_2(c_0(c_2(c_3(c_3(z0)))))))))))))))))) -> 2(3(1(3(1(0(2(2(3(0(2(2(2(3(2(2(0(3(z0))))))))))))))))))
   2(c_2(c_3(c_1(c_0(c_3(c_0(c_2(c_1(c_3(c_2(c_2(c_2(c_3(c_3(c_3(c_1(c_2(z0)))))))))))))))))) -> 1(1(0(3(2(2(3(2(2(1(0(2(3(3(2(3(3(2(z0))))))))))))))))))
   2(c_3(c_3(c_1(c_3(c_1(c_0(c_0(c_1(c_1(c_3(c_3(c_3(c_1(c_2(c_2(c_1(c_3(z0)))))))))))))))))) -> 2(2(1(3(3(1(1(0(3(1(1(1(3(3(2(3(0(3(z0))))))))))))))))))
   2(c_0(c_1(c_2(c_0(c_0(c_0(c_2(c_2(c_1(c_3(c_2(c_1(c_0(c_1(c_0(c_2(c_0(z0)))))))))))))))))) -> 2(0(2(0(1(0(1(1(0(1(0(3(2(0(2(2(2(0(z0))))))))))))))))))
   2(c_1(c_3(c_1(c_1(c_2(c_1(c_2(c_3(c_0(c_3(c_2(c_0(c_1(c_0(c_1(c_2(c_1(z0)))))))))))))))))) -> 3(0(0(3(1(1(1(1(1(2(3(2(0(2(2(1(2(1(z0))))))))))))))))))
   2(c_3(c_2(c_1(c_3(c_1(c_2(c_0(c_0(c_1(c_3(c_0(c_1(c_2(c_0(c_3(c_1(c_1(z0)))))))))))))))))) -> 1(2(3(1(1(0(1(3(0(0(0(3(2(3(2(2(1(1(z0))))))))))))))))))
   2(c_3(c_2(c_1(c_2(c_0(c_3(c_0(c_1(c_3(c_3(c_3(c_0(c_2(c_3(c_0(c_0(c_0(z0)))))))))))))))))) -> 3(0(0(3(0(2(3(1(1(3(3(2(2(0(3(0(2(0(z0))))))))))))))))))
   3(z0) -> c_3(z0)
   3(c_0(c_0(c_3(c_1(c_3(c_3(c_2(c_2(c_1(c_1(c_0(c_2(c_1(c_2(c_0(c_2(c_0(z0)))))))))))))))))) -> 3(3(1(0(2(0(2(0(2(0(2(3(1(1(3(1(0(2(z0))))))))))))))))))
   3(c_2(c_0(c_1(c_0(c_0(c_0(c_3(c_1(c_3(c_1(c_3(c_3(c_2(c_0(c_1(c_1(c_1(z0)))))))))))))))))) -> 3(2(0(3(0(1(1(1(0(1(1(0(3(0(3(2(3(1(z0))))))))))))))))))
   3(c_2(c_2(c_3(c_1(c_2(c_2(c_2(c_1(c_3(c_3(c_3(c_0(c_2(c_1(c_3(c_2(c_1(z0)))))))))))))))))) -> 3(2(2(1(2(2(2(3(2(3(3(1(1(3(3(0(2(1(z0))))))))))))))))))
   3(c_0(c_1(c_0(c_2(c_0(c_3(c_1(c_3(c_3(c_1(c_3(c_3(c_0(c_2(c_2(c_3(c_0(z0)))))))))))))))))) -> 3(0(2(1(0(3(0(3(3(0(2(3(3(1(1(2(3(0(z0))))))))))))))))))
   3(c_3(c_2(c_0(c_3(c_1(c_2(c_2(c_3(c_1(c_3(c_2(c_3(c_2(c_2(c_1(c_2(c_0(z0)))))))))))))))))) -> 3(2(1(3(2(3(2(0(3(2(2(3(2(3(1(1(2(0(z0))))))))))))))))))
   3(c_1(c_2(c_3(c_0(c_2(c_2(c_1(c_1(c_3(c_1(c_0(c_0(c_1(c_0(c_2(c_3(c_0(z0)))))))))))))))))) -> 3(1(0(0(0(3(1(1(0(3(1(2(1(2(2(3(2(0(z0))))))))))))))))))
   3(c_0(c_3(c_2(c_0(c_3(c_1(c_1(c_2(c_1(c_3(c_3(c_2(c_1(c_0(c_3(c_2(c_1(z0)))))))))))))))))) -> 2(3(3(0(1(1(1(0(2(1(2(3(3(0(3(3(2(1(z0))))))))))))))))))
   3(c_3(c_0(c_3(c_1(c_3(c_3(c_1(c_2(c_0(c_3(c_2(c_2(c_2(c_3(c_2(c_3(c_0(z0)))))))))))))))))) -> 3(2(3(1(0(3(2(1(2(3(3(3(0(0(3(3(2(2(z0))))))))))))))))))
   3(c_1(c_1(c_3(c_1(c_3(c_3(c_0(c_3(c_1(c_3(c_0(c_2(c_1(c_2(c_2(c_1(c_3(z0)))))))))))))))))) -> 3(3(3(2(0(2(1(1(2(3(1(1(3(0(3(1(1(3(z0))))))))))))))))))
   3(c_3(c_0(c_2(c_3(c_3(c_0(c_0(c_2(c_1(c_0(c_3(c_0(c_1(c_0(c_1(c_0(c_2(z0)))))))))))))))))) -> 2(0(3(3(3(0(2(0(3(1(1(1(0(0(0(0(3(2(z0))))))))))))))))))
   3(c_2(c_0(c_1(c_2(c_1(c_2(c_3(c_2(c_3(c_2(c_0(c_2(c_1(c_2(c_1(c_2(c_0(z0)))))))))))))))))) -> 2(1(1(3(2(0(2(3(1(1(2(2(0(2(3(2(2(0(z0))))))))))))))))))
   3(c_0(c_1(c_3(c_2(c_2(c_3(c_2(c_0(c_1(c_0(c_0(c_3(c_0(c_1(c_0(c_2(c_0(z0)))))))))))))))))) -> 2(3(1(2(0(2(0(3(1(0(0(0(3(2(3(1(0(0(z0))))))))))))))))))
   3(c_0(c_1(c_0(c_0(c_1(c_3(c_0(c_0(c_1(c_3(c_0(c_1(c_2(c_0(c_3(c_3(c_3(z0)))))))))))))))))) -> 1(1(3(0(0(3(1(0(1(0(2(3(0(3(3(0(0(3(z0))))))))))))))))))
   3(c_3(c_1(c_1(c_3(c_0(c_2(c_1(c_3(c_2(c_0(c_1(c_2(c_3(c_3(c_3(c_2(c_3(z0)))))))))))))))))) -> 3(1(0(3(1(1(0(3(3(2(2(2(2(3(1(3(3(3(z0))))))))))))))))))
   3(c_2(c_3(c_3(c_0(c_2(c_3(c_2(c_0(c_2(c_3(c_2(c_2(c_1(c_3(c_3(c_0(c_3(z0)))))))))))))))))) -> 3(3(2(2(3(3(2(3(0(0(3(2(2(1(0(3(2(3(z0))))))))))))))))))
   3(c_2(c_0(c_2(c_2(c_3(c_0(c_0(c_1(c_3(c_0(c_2(c_0(c_0(c_2(c_1(c_3(c_0(z0)))))))))))))))))) -> 2(1(0(0(0(0(3(2(3(0(3(1(3(0(0(2(2(2(z0))))))))))))))))))
   3(c_1(c_3(c_3(c_0(c_2(c_2(c_2(c_0(c_1(c_2(c_0(c_1(c_0(c_1(c_2(c_2(c_0(z0)))))))))))))))))) -> 3(2(3(2(0(3(1(2(1(1(1(2(0(0(0(2(2(0(z0))))))))))))))))))
   3(c_2(c_1(c_2(c_3(c_3(c_1(c_2(c_1(c_1(c_2(c_3(c_0(c_2(c_3(c_1(c_2(c_3(z0)))))))))))))))))) -> 2(0(2(3(1(1(3(3(1(2(2(2(3(3(1(1(2(3(z0))))))))))))))))))
   3(c_3(c_3(c_1(c_3(c_0(c_3(c_3(c_1(c_3(c_0(c_1(c_0(c_0(c_2(c_1(c_2(c_0(z0)))))))))))))))))) -> 3(3(1(1(0(1(3(3(0(3(3(0(2(2(3(1(0(0(z0))))))))))))))))))
   3(c_0(c_3(c_2(c_2(c_3(c_2(c_0(c_3(c_0(c_2(c_2(c_1(c_2(c_0(c_2(c_2(c_0(z0)))))))))))))))))) -> 3(2(1(0(0(3(0(2(3(2(2(0(2(2(3(2(2(0(z0))))))))))))))))))
   3(c_3(c_0(c_1(c_0(c_1(c_3(c_3(c_3(c_2(c_2(c_3(c_3(c_0(c_3(c_3(c_0(c_3(z0)))))))))))))))))) -> 3(3(3(0(2(3(1(0(1(3(2(3(3(3(3(0(0(3(z0))))))))))))))))))
   3(c_3(c_3(c_0(c_1(c_3(c_3(c_1(c_2(c_3(c_0(c_2(c_1(c_3(c_2(c_1(c_0(c_0(z0)))))))))))))))))) -> 3(1(1(1(3(0(1(3(0(2(3(2(3(0(3(2(3(0(z0))))))))))))))))))
   3(c_1(c_2(c_0(c_3(c_0(c_1(c_2(c_0(c_3(c_3(c_2(c_3(c_2(c_2(c_1(c_2(c_3(z0)))))))))))))))))) -> 3(1(3(2(1(1(3(2(0(0(0(3(2(2(2(3(2(3(z0))))))))))))))))))
   3(c_3(c_2(c_1(c_1(c_1(c_1(c_3(c_0(c_0(c_3(c_1(c_2(c_0(c_2(c_2(c_3(c_0(z0)))))))))))))))))) -> 3(3(1(1(0(1(0(2(0(1(1(2(3(3(2(2(3(0(z0))))))))))))))))))
   3(c_0(c_1(c_3(c_2(c_3(c_3(c_2(c_0(c_1(c_1(c_2(c_0(c_1(c_3(c_1(c_3(c_2(z0)))))))))))))))))) -> 3(2(3(3(0(3(1(1(0(2(2(3(1(2(1(1(0(3(z0))))))))))))))))))
   3(c_0(c_2(c_1(c_3(c_3(c_0(c_1(c_1(c_3(c_0(c_1(c_2(c_3(c_1(c_2(c_1(c_3(z0)))))))))))))))))) -> 0(1(1(2(3(2(3(1(0(2(1(1(1(0(3(3(3(3(z0))))))))))))))))))
   3(c_3(c_2(c_0(c_3(c_2(c_1(c_2(c_2(c_1(c_2(c_0(c_1(c_2(c_3(c_3(c_2(c_0(z0)))))))))))))))))) -> 2(0(3(3(1(2(1(2(1(0(2(3(3(2(3(2(2(0(z0))))))))))))))))))
   3(c_2(c_1(c_3(c_2(c_2(c_3(c_3(c_3(c_2(c_1(c_2(c_0(c_1(c_0(c_1(c_1(c_2(z0)))))))))))))))))) -> 2(3(1(1(0(2(2(0(3(3(3(1(2(3(1(2(1(2(z0))))))))))))))))))
   3(c_0(c_3(c_0(c_1(c_3(c_0(c_2(c_0(c_1(c_1(c_0(c_1(c_0(c_2(c_3(c_0(c_3(z0)))))))))))))))))) -> 3(0(0(2(1(1(0(1(0(3(2(1(0(0(3(3(0(3(z0))))))))))))))))))
   3(c_2(c_0(c_2(c_2(c_0(c_0(c_2(c_3(c_0(c_2(c_3(c_0(c_1(c_2(c_2(c_0(c_2(z0)))))))))))))))))) -> 2(0(3(2(2(2(0(3(2(0(2(1(3(2(0(0(0(2(z0))))))))))))))))))
   3(c_2(c_3(c_2(c_1(c_3(c_0(c_1(c_2(c_1(c_2(c_2(c_1(c_0(c_1(c_1(c_0(c_0(z0)))))))))))))))))) -> 3(2(2(0(1(1(1(1(1(0(0(0(3(2(2(1(3(2(z0))))))))))))))))))
   3(c_2(c_3(c_1(c_1(c_1(c_3(c_2(c_2(c_1(c_2(c_1(c_0(c_0(c_3(c_1(c_3(c_3(z0)))))))))))))))))) -> 3(2(3(2(0(3(1(1(2(3(2(0(1(3(1(1(1(3(z0))))))))))))))))))
Tuples:
   0'(c_3(c_0(c_0(c_2(c_1(c_0(c_0(c_2(c_1(c_2(c_2(c_3(c_2(c_0(c_0(c_2(c_0(z0)))))))))))))))))) -> c9(0'(2(0(0(0(2(0(3(0(2(2(0(1(1(3(2(2(0(z0)))))))))))))))))), 2'(0(0(0(2(0(3(0(2(2(0(1(1(3(2(2(0(z0))))))))))))))))), 0'(0(0(2(0(3(0(2(2(0(1(1(3(2(2(0(z0)))))))))))))))), 0'(0(2(0(3(0(2(2(0(1(1(3(2(2(0(z0))))))))))))))), 0'(2(0(3(0(2(2(0(1(1(3(2(2(0(z0)))))))))))))), 2'(0(3(0(2(2(0(1(1(3(2(2(0(z0))))))))))))), 0'(3(0(2(2(0(1(1(3(2(2(0(z0)))))))))))), 3'(0(2(2(0(1(1(3(2(2(0(z0))))))))))), 0'(2(2(0(1(1(3(2(2(0(z0)))))))))), 2'(2(0(1(1(3(2(2(0(z0))))))))), 2'(0(1(1(3(2(2(0(z0)))))))), 0'(1(1(3(2(2(0(z0))))))), 1'(1(3(2(2(0(z0)))))), 1'(3(2(2(0(z0))))), 3'(2(2(0(z0)))), 2'(2(0(z0))), 2'(0(z0)), 0'(z0))
   0'(c_0(c_3(c_3(c_0(c_2(c_3(c_0(c_3(c_0(c_2(c_1(c_0(c_0(c_0(c_3(c_3(c_0(z0)))))))))))))))))) -> c10(0'(0(3(1(0(3(0(0(3(3(0(3(3(0(0(2(0(2(z0)))))))))))))))))), 0'(3(1(0(3(0(0(3(3(0(3(3(0(0(2(0(2(z0))))))))))))))))), 3'(1(0(3(0(0(3(3(0(3(3(0(0(2(0(2(z0)))))))))))))))), 1'(0(3(0(0(3(3(0(3(3(0(0(2(0(2(z0))))))))))))))), 0'(3(0(0(3(3(0(3(3(0(0(2(0(2(z0)))))))))))))), 3'(0(0(3(3(0(3(3(0(0(2(0(2(z0))))))))))))), 0'(0(3(3(0(3(3(0(0(2(0(2(z0)))))))))))), 0'(3(3(0(3(3(0(0(2(0(2(z0))))))))))), 3'(3(0(3(3(0(0(2(0(2(z0)))))))))), 3'(0(3(3(0(0(2(0(2(z0))))))))), 0'(3(3(0(0(2(0(2(z0)))))))), 3'(3(0(0(2(0(2(z0))))))), 3'(0(0(2(0(2(z0)))))), 0'(0(2(0(2(z0))))), 0'(2(0(2(z0)))), 2'(0(2(z0))), 0'(2(z0)), 2'(z0))
   0'(c_0(c_1(c_1(c_2(c_1(c_3(c_1(c_3(c_1(c_1(c_1(c_2(c_2(c_1(c_0(c_2(c_2(z0)))))))))))))))))) -> c11(2'(1(1(1(1(0(3(1(1(1(2(0(3(1(0(2(2(2(z0)))))))))))))))))), 1'(1(1(1(0(3(1(1(1(2(0(3(1(0(2(2(2(z0))))))))))))))))), 1'(1(1(0(3(1(1(1(2(0(3(1(0(2(2(2(z0)))))))))))))))), 1'(1(0(3(1(1(1(2(0(3(1(0(2(2(2(z0))))))))))))))), 1'(0(3(1(1(1(2(0(3(1(0(2(2(2(z0)))))))))))))), 0'(3(1(1(1(2(0(3(1(0(2(2(2(z0))))))))))))), 3'(1(1(1(2(0(3(1(0(2(2(2(z0)))))))))))), 1'(1(1(2(0(3(1(0(2(2(2(z0))))))))))), 1'(1(2(0(3(1(0(2(2(2(z0)))))))))), 1'(2(0(3(1(0(2(2(2(z0))))))))), 2'(0(3(1(0(2(2(2(z0)))))))), 0'(3(1(0(2(2(2(z0))))))), 3'(1(0(2(2(2(z0)))))), 1'(0(2(2(2(z0))))), 0'(2(2(2(z0)))), 2'(2(2(z0))), 2'(2(z0)), 2'(z0))
   0'(c_3(c_3(c_0(c_0(c_0(c_1(c_3(c_2(c_2(c_3(c_2(c_1(c_3(c_0(c_0(c_2(c_1(z0)))))))))))))))))) -> c12(0'(2(2(0(0(3(0(2(3(1(0(3(1(0(3(2(3(1(z0)))))))))))))))))), 2'(2(0(0(3(0(2(3(1(0(3(1(0(3(2(3(1(z0))))))))))))))))), 2'(0(0(3(0(2(3(1(0(3(1(0(3(2(3(1(z0)))))))))))))))), 0'(0(3(0(2(3(1(0(3(1(0(3(2(3(1(z0))))))))))))))), 0'(3(0(2(3(1(0(3(1(0(3(2(3(1(z0)))))))))))))), 3'(0(2(3(1(0(3(1(0(3(2(3(1(z0))))))))))))), 0'(2(3(1(0(3(1(0(3(2(3(1(z0)))))))))))), 2'(3(1(0(3(1(0(3(2(3(1(z0))))))))))), 3'(1(0(3(1(0(3(2(3(1(z0)))))))))), 1'(0(3(1(0(3(2(3(1(z0))))))))), 0'(3(1(0(3(2(3(1(z0)))))))), 3'(1(0(3(2(3(1(z0))))))), 1'(0(3(2(3(1(z0)))))), 0'(3(2(3(1(z0))))), 3'(2(3(1(z0)))), 2'(3(1(z0))), 3'(1(z0)), 1'(z0))
   0'(c_0(c_0(c_0(c_1(c_1(c_3(c_2(c_3(c_3(c_0(c_1(c_1(c_2(c_0(c_1(c_3(c_1(z0)))))))))))))))))) -> c13(0'(0(0(1(1(1(0(1(3(3(1(0(3(2(0(2(3(1(z0)))))))))))))))))), 0'(0(1(1(1(0(1(3(3(1(0(3(2(0(2(3(1(z0))))))))))))))))), 0'(1(1(1(0(1(3(3(1(0(3(2(0(2(3(1(z0)))))))))))))))), 1'(1(1(0(1(3(3(1(0(3(2(0(2(3(1(z0))))))))))))))), 1'(1(0(1(3(3(1(0(3(2(0(2(3(1(z0)))))))))))))), 1'(0(1(3(3(1(0(3(2(0(2(3(1(z0))))))))))))), 0'(1(3(3(1(0(3(2(0(2(3(1(z0)))))))))))), 1'(3(3(1(0(3(2(0(2(3(1(z0))))))))))), 3'(3(1(0(3(2(0(2(3(1(z0)))))))))), 3'(1(0(3(2(0(2(3(1(z0))))))))), 1'(0(3(2(0(2(3(1(z0)))))))), 0'(3(2(0(2(3(1(z0))))))), 3'(2(0(2(3(1(z0)))))), 2'(0(2(3(1(z0))))), 0'(2(3(1(z0)))), 2'(3(1(z0))), 3'(1(z0)), 1'(z0))
   0'(c_2(c_1(c_2(c_1(c_1(c_2(c_3(c_2(c_1(c_0(c_0(c_1(c_0(c_0(c_3(c_0(c_3(z0)))))))))))))))))) -> c14(0'(3(2(0(0(1(2(1(0(2(1(1(3(1(0(0(2(3(z0)))))))))))))))))), 3'(2(0(0(1(2(1(0(2(1(1(3(1(0(0(2(3(z0))))))))))))))))), 2'(0(0(1(2(1(0(2(1(1(3(1(0(0(2(3(z0)))))))))))))))), 0'(0(1(2(1(0(2(1(1(3(1(0(0(2(3(z0))))))))))))))), 0'(1(2(1(0(2(1(1(3(1(0(0(2(3(z0)))))))))))))), 1'(2(1(0(2(1(1(3(1(0(0(2(3(z0))))))))))))), 2'(1(0(2(1(1(3(1(0(0(2(3(z0)))))))))))), 1'(0(2(1(1(3(1(0(0(2(3(z0))))))))))), 0'(2(1(1(3(1(0(0(2(3(z0)))))))))), 2'(1(1(3(1(0(0(2(3(z0))))))))), 1'(1(3(1(0(0(2(3(z0)))))))), 1'(3(1(0(0(2(3(z0))))))), 3'(1(0(0(2(3(z0)))))), 1'(0(0(2(3(z0))))), 0'(0(2(3(z0)))), 0'(2(3(z0))), 2'(3(z0)), 3'(z0))
   0'(c_0(c_0(c_2(c_3(c_0(c_0(c_0(c_0(c_0(c_0(c_1(c_1(c_0(c_3(c_0(c_0(c_0(z0)))))))))))))))))) -> c15(0'(0(3(1(0(0(0(0(2(0(0(0(3(1(0(0(0(0(z0)))))))))))))))))), 0'(3(1(0(0(0(0(2(0(0(0(3(1(0(0(0(0(z0))))))))))))))))), 3'(1(0(0(0(0(2(0(0(0(3(1(0(0(0(0(z0)))))))))))))))), 1'(0(0(0(0(2(0(0(0(3(1(0(0(0(0(z0))))))))))))))), 0'(0(0(0(2(0(0(0(3(1(0(0(0(0(z0)))))))))))))), 0'(0(0(2(0(0(0(3(1(0(0(0(0(z0))))))))))))), 0'(0(2(0(0(0(3(1(0(0(0(0(z0)))))))))))), 0'(2(0(0(0(3(1(0(0(0(0(z0))))))))))), 2'(0(0(0(3(1(0(0(0(0(z0)))))))))), 0'(0(0(3(1(0(0(0(0(z0))))))))), 0'(0(3(1(0(0(0(0(z0)))))))), 0'(3(1(0(0(0(0(z0))))))), 3'(1(0(0(0(0(z0)))))), 1'(0(0(0(0(z0))))), 0'(0(0(0(z0)))), 0'(0(0(z0))), 0'(0(z0)), 0'(z0))
   0'(c_3(c_2(c_0(c_3(c_0(c_0(c_1(c_2(c_1(c_2(c_0(c_1(c_2(c_1(c_3(c_0(c_0(z0)))))))))))))))))) -> c16(0'(2(2(0(3(3(1(0(0(3(0(2(1(1(0(1(2(0(z0)))))))))))))))))), 2'(2(0(3(3(1(0(0(3(0(2(1(1(0(1(2(0(z0))))))))))))))))), 2'(0(3(3(1(0(0(3(0(2(1(1(0(1(2(0(z0)))))))))))))))), 0'(3(3(1(0(0(3(0(2(1(1(0(1(2(0(z0))))))))))))))), 3'(3(1(0(0(3(0(2(1(1(0(1(2(0(z0)))))))))))))), 3'(1(0(0(3(0(2(1(1(0(1(2(0(z0))))))))))))), 1'(0(0(3(0(2(1(1(0(1(2(0(z0)))))))))))), 0'(0(3(0(2(1(1(0(1(2(0(z0))))))))))), 0'(3(0(2(1(1(0(1(2(0(z0)))))))))), 3'(0(2(1(1(0(1(2(0(z0))))))))), 0'(2(1(1(0(1(2(0(z0)))))))), 2'(1(1(0(1(2(0(z0))))))), 1'(1(0(1(2(0(z0)))))), 1'(0(1(2(0(z0))))), 0'(1(2(0(z0)))), 1'(2(0(z0))), 2'(0(z0)), 0'(z0))
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   0'(c_2(c_3(c_1(c_2(c_3(c_2(c_1(c_0(c_1(c_0(c_0(c_3(c_1(c_3(c_1(c_2(c_3(z0)))))))))))))))))) -> c18(0'(2(3(3(1(2(1(1(1(0(2(3(1(0(2(0(3(3(z0)))))))))))))))))), 2'(3(3(1(2(1(1(1(0(2(3(1(0(2(0(3(3(z0))))))))))))))))), 3'(3(1(2(1(1(1(0(2(3(1(0(2(0(3(3(z0)))))))))))))))), 3'(1(2(1(1(1(0(2(3(1(0(2(0(3(3(z0))))))))))))))), 1'(2(1(1(1(0(2(3(1(0(2(0(3(3(z0)))))))))))))), 2'(1(1(1(0(2(3(1(0(2(0(3(3(z0))))))))))))), 1'(1(1(0(2(3(1(0(2(0(3(3(z0)))))))))))), 1'(1(0(2(3(1(0(2(0(3(3(z0))))))))))), 1'(0(2(3(1(0(2(0(3(3(z0)))))))))), 0'(2(3(1(0(2(0(3(3(z0))))))))), 2'(3(1(0(2(0(3(3(z0)))))))), 3'(1(0(2(0(3(3(z0))))))), 1'(0(2(0(3(3(z0)))))), 0'(2(0(3(3(z0))))), 2'(0(3(3(z0)))), 0'(3(3(z0))), 3'(3(z0)), 3'(z0))
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   3'(c_3(c_2(c_0(c_3(c_2(c_1(c_2(c_2(c_1(c_2(c_0(c_1(c_2(c_3(c_3(c_2(c_0(z0)))))))))))))))))) -> c86(2'(0(3(3(1(2(1(2(1(0(2(3(3(2(3(2(2(0(z0)))))))))))))))))), 0'(3(3(1(2(1(2(1(0(2(3(3(2(3(2(2(0(z0))))))))))))))))), 3'(3(1(2(1(2(1(0(2(3(3(2(3(2(2(0(z0)))))))))))))))), 3'(1(2(1(2(1(0(2(3(3(2(3(2(2(0(z0))))))))))))))), 1'(2(1(2(1(0(2(3(3(2(3(2(2(0(z0)))))))))))))), 2'(1(2(1(0(2(3(3(2(3(2(2(0(z0))))))))))))), 1'(2(1(0(2(3(3(2(3(2(2(0(z0)))))))))))), 2'(1(0(2(3(3(2(3(2(2(0(z0))))))))))), 1'(0(2(3(3(2(3(2(2(0(z0)))))))))), 0'(2(3(3(2(3(2(2(0(z0))))))))), 2'(3(3(2(3(2(2(0(z0)))))))), 3'(3(2(3(2(2(0(z0))))))), 3'(2(3(2(2(0(z0)))))), 2'(3(2(2(0(z0))))), 3'(2(2(0(z0)))), 2'(2(0(z0))), 2'(0(z0)), 0'(z0))
   3'(c_2(c_1(c_3(c_2(c_2(c_3(c_3(c_3(c_2(c_1(c_2(c_0(c_1(c_0(c_1(c_1(c_2(z0)))))))))))))))))) -> c87(2'(3(1(1(0(2(2(0(3(3(3(1(2(3(1(2(1(2(z0)))))))))))))))))), 3'(1(1(0(2(2(0(3(3(3(1(2(3(1(2(1(2(z0))))))))))))))))), 1'(1(0(2(2(0(3(3(3(1(2(3(1(2(1(2(z0)))))))))))))))), 1'(0(2(2(0(3(3(3(1(2(3(1(2(1(2(z0))))))))))))))), 0'(2(2(0(3(3(3(1(2(3(1(2(1(2(z0)))))))))))))), 2'(2(0(3(3(3(1(2(3(1(2(1(2(z0))))))))))))), 2'(0(3(3(3(1(2(3(1(2(1(2(z0)))))))))))), 0'(3(3(3(1(2(3(1(2(1(2(z0))))))))))), 3'(3(3(1(2(3(1(2(1(2(z0)))))))))), 3'(3(1(2(3(1(2(1(2(z0))))))))), 3'(1(2(3(1(2(1(2(z0)))))))), 1'(2(3(1(2(1(2(z0))))))), 2'(3(1(2(1(2(z0)))))), 3'(1(2(1(2(z0))))), 1'(2(1(2(z0)))), 2'(1(2(z0))), 1'(2(z0)), 2'(z0))
   3'(c_0(c_3(c_0(c_1(c_3(c_0(c_2(c_0(c_1(c_1(c_0(c_1(c_0(c_2(c_3(c_0(c_3(z0)))))))))))))))))) -> c88(3'(0(0(2(1(1(0(1(0(3(2(1(0(0(3(3(0(3(z0)))))))))))))))))), 0'(0(2(1(1(0(1(0(3(2(1(0(0(3(3(0(3(z0))))))))))))))))), 0'(2(1(1(0(1(0(3(2(1(0(0(3(3(0(3(z0)))))))))))))))), 2'(1(1(0(1(0(3(2(1(0(0(3(3(0(3(z0))))))))))))))), 1'(1(0(1(0(3(2(1(0(0(3(3(0(3(z0)))))))))))))), 1'(0(1(0(3(2(1(0(0(3(3(0(3(z0))))))))))))), 0'(1(0(3(2(1(0(0(3(3(0(3(z0)))))))))))), 1'(0(3(2(1(0(0(3(3(0(3(z0))))))))))), 0'(3(2(1(0(0(3(3(0(3(z0)))))))))), 3'(2(1(0(0(3(3(0(3(z0))))))))), 2'(1(0(0(3(3(0(3(z0)))))))), 1'(0(0(3(3(0(3(z0))))))), 0'(0(3(3(0(3(z0)))))), 0'(3(3(0(3(z0))))), 3'(3(0(3(z0)))), 3'(0(3(z0))), 0'(3(z0)), 3'(z0))
   3'(c_2(c_0(c_2(c_2(c_0(c_0(c_2(c_3(c_0(c_2(c_3(c_0(c_1(c_2(c_2(c_0(c_2(z0)))))))))))))))))) -> c89(2'(0(3(2(2(2(0(3(2(0(2(1(3(2(0(0(0(2(z0)))))))))))))))))), 0'(3(2(2(2(0(3(2(0(2(1(3(2(0(0(0(2(z0))))))))))))))))), 3'(2(2(2(0(3(2(0(2(1(3(2(0(0(0(2(z0)))))))))))))))), 2'(2(2(0(3(2(0(2(1(3(2(0(0(0(2(z0))))))))))))))), 2'(2(0(3(2(0(2(1(3(2(0(0(0(2(z0)))))))))))))), 2'(0(3(2(0(2(1(3(2(0(0(0(2(z0))))))))))))), 0'(3(2(0(2(1(3(2(0(0(0(2(z0)))))))))))), 3'(2(0(2(1(3(2(0(0(0(2(z0))))))))))), 2'(0(2(1(3(2(0(0(0(2(z0)))))))))), 0'(2(1(3(2(0(0(0(2(z0))))))))), 2'(1(3(2(0(0(0(2(z0)))))))), 1'(3(2(0(0(0(2(z0))))))), 3'(2(0(0(0(2(z0)))))), 2'(0(0(0(2(z0))))), 0'(0(0(2(z0)))), 0'(0(2(z0))), 0'(2(z0)), 2'(z0))
   3'(c_2(c_3(c_2(c_1(c_3(c_0(c_1(c_2(c_1(c_2(c_2(c_1(c_0(c_1(c_1(c_0(c_0(z0)))))))))))))))))) -> c90(3'(2(2(0(1(1(1(1(1(0(0(0(3(2(2(1(3(2(z0)))))))))))))))))), 2'(2(0(1(1(1(1(1(0(0(0(3(2(2(1(3(2(z0))))))))))))))))), 2'(0(1(1(1(1(1(0(0(0(3(2(2(1(3(2(z0)))))))))))))))), 0'(1(1(1(1(1(0(0(0(3(2(2(1(3(2(z0))))))))))))))), 1'(1(1(1(1(0(0(0(3(2(2(1(3(2(z0)))))))))))))), 1'(1(1(1(0(0(0(3(2(2(1(3(2(z0))))))))))))), 1'(1(1(0(0(0(3(2(2(1(3(2(z0)))))))))))), 1'(1(0(0(0(3(2(2(1(3(2(z0))))))))))), 1'(0(0(0(3(2(2(1(3(2(z0)))))))))), 0'(0(0(3(2(2(1(3(2(z0))))))))), 0'(0(3(2(2(1(3(2(z0)))))))), 0'(3(2(2(1(3(2(z0))))))), 3'(2(2(1(3(2(z0)))))), 2'(2(1(3(2(z0))))), 2'(1(3(2(z0)))), 1'(3(2(z0))), 3'(2(z0)), 2'(z0))
   3'(c_2(c_3(c_1(c_1(c_1(c_3(c_2(c_2(c_1(c_2(c_1(c_0(c_0(c_3(c_1(c_3(c_3(z0)))))))))))))))))) -> c91(3'(2(3(2(0(3(1(1(2(3(2(0(1(3(1(1(1(3(z0)))))))))))))))))), 2'(3(2(0(3(1(1(2(3(2(0(1(3(1(1(1(3(z0))))))))))))))))), 3'(2(0(3(1(1(2(3(2(0(1(3(1(1(1(3(z0)))))))))))))))), 2'(0(3(1(1(2(3(2(0(1(3(1(1(1(3(z0))))))))))))))), 0'(3(1(1(2(3(2(0(1(3(1(1(1(3(z0)))))))))))))), 3'(1(1(2(3(2(0(1(3(1(1(1(3(z0))))))))))))), 1'(1(2(3(2(0(1(3(1(1(1(3(z0)))))))))))), 1'(2(3(2(0(1(3(1(1(1(3(z0))))))))))), 2'(3(2(0(1(3(1(1(1(3(z0)))))))))), 3'(2(0(1(3(1(1(1(3(z0))))))))), 2'(0(1(3(1(1(1(3(z0)))))))), 0'(1(3(1(1(1(3(z0))))))), 1'(3(1(1(1(3(z0)))))), 3'(1(1(1(3(z0))))), 1'(1(1(3(z0)))), 1'(1(3(z0))), 1'(3(z0)), 3'(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_3(c_0(c_0(c_2(c_1(c_0(c_0(c_2(c_1(c_2(c_2(c_3(c_2(c_0(c_0(c_2(c_0(z0)))))))))))))))))) -> c9(0'(2(0(0(0(2(0(3(0(2(2(0(1(1(3(2(2(0(z0)))))))))))))))))), 2'(0(0(0(2(0(3(0(2(2(0(1(1(3(2(2(0(z0))))))))))))))))), 0'(0(0(2(0(3(0(2(2(0(1(1(3(2(2(0(z0)))))))))))))))), 0'(0(2(0(3(0(2(2(0(1(1(3(2(2(0(z0))))))))))))))), 0'(2(0(3(0(2(2(0(1(1(3(2(2(0(z0)))))))))))))), 2'(0(3(0(2(2(0(1(1(3(2(2(0(z0))))))))))))), 0'(3(0(2(2(0(1(1(3(2(2(0(z0)))))))))))), 3'(0(2(2(0(1(1(3(2(2(0(z0))))))))))), 0'(2(2(0(1(1(3(2(2(0(z0)))))))))), 2'(2(0(1(1(3(2(2(0(z0))))))))), 2'(0(1(1(3(2(2(0(z0)))))))), 0'(1(1(3(2(2(0(z0))))))), 1'(1(3(2(2(0(z0)))))), 1'(3(2(2(0(z0))))), 3'(2(2(0(z0)))), 2'(2(0(z0))), 2'(0(z0)), 0'(z0))
   0'(c_0(c_3(c_3(c_0(c_2(c_3(c_0(c_3(c_0(c_2(c_1(c_0(c_0(c_0(c_3(c_3(c_0(z0)))))))))))))))))) -> c10(0'(0(3(1(0(3(0(0(3(3(0(3(3(0(0(2(0(2(z0)))))))))))))))))), 0'(3(1(0(3(0(0(3(3(0(3(3(0(0(2(0(2(z0))))))))))))))))), 3'(1(0(3(0(0(3(3(0(3(3(0(0(2(0(2(z0)))))))))))))))), 1'(0(3(0(0(3(3(0(3(3(0(0(2(0(2(z0))))))))))))))), 0'(3(0(0(3(3(0(3(3(0(0(2(0(2(z0)))))))))))))), 3'(0(0(3(3(0(3(3(0(0(2(0(2(z0))))))))))))), 0'(0(3(3(0(3(3(0(0(2(0(2(z0)))))))))))), 0'(3(3(0(3(3(0(0(2(0(2(z0))))))))))), 3'(3(0(3(3(0(0(2(0(2(z0)))))))))), 3'(0(3(3(0(0(2(0(2(z0))))))))), 0'(3(3(0(0(2(0(2(z0)))))))), 3'(3(0(0(2(0(2(z0))))))), 3'(0(0(2(0(2(z0)))))), 0'(0(2(0(2(z0))))), 0'(2(0(2(z0)))), 2'(0(2(z0))), 0'(2(z0)), 2'(z0))
   0'(c_0(c_1(c_1(c_2(c_1(c_3(c_1(c_3(c_1(c_1(c_1(c_2(c_2(c_1(c_0(c_2(c_2(z0)))))))))))))))))) -> c11(2'(1(1(1(1(0(3(1(1(1(2(0(3(1(0(2(2(2(z0)))))))))))))))))), 1'(1(1(1(0(3(1(1(1(2(0(3(1(0(2(2(2(z0))))))))))))))))), 1'(1(1(0(3(1(1(1(2(0(3(1(0(2(2(2(z0)))))))))))))))), 1'(1(0(3(1(1(1(2(0(3(1(0(2(2(2(z0))))))))))))))), 1'(0(3(1(1(1(2(0(3(1(0(2(2(2(z0)))))))))))))), 0'(3(1(1(1(2(0(3(1(0(2(2(2(z0))))))))))))), 3'(1(1(1(2(0(3(1(0(2(2(2(z0)))))))))))), 1'(1(1(2(0(3(1(0(2(2(2(z0))))))))))), 1'(1(2(0(3(1(0(2(2(2(z0)))))))))), 1'(2(0(3(1(0(2(2(2(z0))))))))), 2'(0(3(1(0(2(2(2(z0)))))))), 0'(3(1(0(2(2(2(z0))))))), 3'(1(0(2(2(2(z0)))))), 1'(0(2(2(2(z0))))), 0'(2(2(2(z0)))), 2'(2(2(z0))), 2'(2(z0)), 2'(z0))
   0'(c_3(c_3(c_0(c_0(c_0(c_1(c_3(c_2(c_2(c_3(c_2(c_1(c_3(c_0(c_0(c_2(c_1(z0)))))))))))))))))) -> c12(0'(2(2(0(0(3(0(2(3(1(0(3(1(0(3(2(3(1(z0)))))))))))))))))), 2'(2(0(0(3(0(2(3(1(0(3(1(0(3(2(3(1(z0))))))))))))))))), 2'(0(0(3(0(2(3(1(0(3(1(0(3(2(3(1(z0)))))))))))))))), 0'(0(3(0(2(3(1(0(3(1(0(3(2(3(1(z0))))))))))))))), 0'(3(0(2(3(1(0(3(1(0(3(2(3(1(z0)))))))))))))), 3'(0(2(3(1(0(3(1(0(3(2(3(1(z0))))))))))))), 0'(2(3(1(0(3(1(0(3(2(3(1(z0)))))))))))), 2'(3(1(0(3(1(0(3(2(3(1(z0))))))))))), 3'(1(0(3(1(0(3(2(3(1(z0)))))))))), 1'(0(3(1(0(3(2(3(1(z0))))))))), 0'(3(1(0(3(2(3(1(z0)))))))), 3'(1(0(3(2(3(1(z0))))))), 1'(0(3(2(3(1(z0)))))), 0'(3(2(3(1(z0))))), 3'(2(3(1(z0)))), 2'(3(1(z0))), 3'(1(z0)), 1'(z0))
   0'(c_0(c_0(c_0(c_1(c_1(c_3(c_2(c_3(c_3(c_0(c_1(c_1(c_2(c_0(c_1(c_3(c_1(z0)))))))))))))))))) -> c13(0'(0(0(1(1(1(0(1(3(3(1(0(3(2(0(2(3(1(z0)))))))))))))))))), 0'(0(1(1(1(0(1(3(3(1(0(3(2(0(2(3(1(z0))))))))))))))))), 0'(1(1(1(0(1(3(3(1(0(3(2(0(2(3(1(z0)))))))))))))))), 1'(1(1(0(1(3(3(1(0(3(2(0(2(3(1(z0))))))))))))))), 1'(1(0(1(3(3(1(0(3(2(0(2(3(1(z0)))))))))))))), 1'(0(1(3(3(1(0(3(2(0(2(3(1(z0))))))))))))), 0'(1(3(3(1(0(3(2(0(2(3(1(z0)))))))))))), 1'(3(3(1(0(3(2(0(2(3(1(z0))))))))))), 3'(3(1(0(3(2(0(2(3(1(z0)))))))))), 3'(1(0(3(2(0(2(3(1(z0))))))))), 1'(0(3(2(0(2(3(1(z0)))))))), 0'(3(2(0(2(3(1(z0))))))), 3'(2(0(2(3(1(z0)))))), 2'(0(2(3(1(z0))))), 0'(2(3(1(z0)))), 2'(3(1(z0))), 3'(1(z0)), 1'(z0))
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   3'(c_1(c_2(c_0(c_3(c_0(c_1(c_2(c_0(c_3(c_3(c_2(c_3(c_2(c_2(c_1(c_2(c_3(z0)))))))))))))))))) -> c82(3'(1(3(2(1(1(3(2(0(0(0(3(2(2(2(3(2(3(z0)))))))))))))))))), 1'(3(2(1(1(3(2(0(0(0(3(2(2(2(3(2(3(z0))))))))))))))))), 3'(2(1(1(3(2(0(0(0(3(2(2(2(3(2(3(z0)))))))))))))))), 2'(1(1(3(2(0(0(0(3(2(2(2(3(2(3(z0))))))))))))))), 1'(1(3(2(0(0(0(3(2(2(2(3(2(3(z0)))))))))))))), 1'(3(2(0(0(0(3(2(2(2(3(2(3(z0))))))))))))), 3'(2(0(0(0(3(2(2(2(3(2(3(z0)))))))))))), 2'(0(0(0(3(2(2(2(3(2(3(z0))))))))))), 0'(0(0(3(2(2(2(3(2(3(z0)))))))))), 0'(0(3(2(2(2(3(2(3(z0))))))))), 0'(3(2(2(2(3(2(3(z0)))))))), 3'(2(2(2(3(2(3(z0))))))), 2'(2(2(3(2(3(z0)))))), 2'(2(3(2(3(z0))))), 2'(3(2(3(z0)))), 3'(2(3(z0))), 2'(3(z0)), 3'(z0))
   3'(c_3(c_2(c_1(c_1(c_1(c_1(c_3(c_0(c_0(c_3(c_1(c_2(c_0(c_2(c_2(c_3(c_0(z0)))))))))))))))))) -> c83(3'(3(1(1(0(1(0(2(0(1(1(2(3(3(2(2(3(0(z0)))))))))))))))))), 3'(1(1(0(1(0(2(0(1(1(2(3(3(2(2(3(0(z0))))))))))))))))), 1'(1(0(1(0(2(0(1(1(2(3(3(2(2(3(0(z0)))))))))))))))), 1'(0(1(0(2(0(1(1(2(3(3(2(2(3(0(z0))))))))))))))), 0'(1(0(2(0(1(1(2(3(3(2(2(3(0(z0)))))))))))))), 1'(0(2(0(1(1(2(3(3(2(2(3(0(z0))))))))))))), 0'(2(0(1(1(2(3(3(2(2(3(0(z0)))))))))))), 2'(0(1(1(2(3(3(2(2(3(0(z0))))))))))), 0'(1(1(2(3(3(2(2(3(0(z0)))))))))), 1'(1(2(3(3(2(2(3(0(z0))))))))), 1'(2(3(3(2(2(3(0(z0)))))))), 2'(3(3(2(2(3(0(z0))))))), 3'(3(2(2(3(0(z0)))))), 3'(2(2(3(0(z0))))), 2'(2(3(0(z0)))), 2'(3(0(z0))), 3'(0(z0)), 0'(z0))
   3'(c_0(c_1(c_3(c_2(c_3(c_3(c_2(c_0(c_1(c_1(c_2(c_0(c_1(c_3(c_1(c_3(c_2(z0)))))))))))))))))) -> c84(3'(2(3(3(0(3(1(1(0(2(2(3(1(2(1(1(0(3(z0)))))))))))))))))), 2'(3(3(0(3(1(1(0(2(2(3(1(2(1(1(0(3(z0))))))))))))))))), 3'(3(0(3(1(1(0(2(2(3(1(2(1(1(0(3(z0)))))))))))))))), 3'(0(3(1(1(0(2(2(3(1(2(1(1(0(3(z0))))))))))))))), 0'(3(1(1(0(2(2(3(1(2(1(1(0(3(z0)))))))))))))), 3'(1(1(0(2(2(3(1(2(1(1(0(3(z0))))))))))))), 1'(1(0(2(2(3(1(2(1(1(0(3(z0)))))))))))), 1'(0(2(2(3(1(2(1(1(0(3(z0))))))))))), 0'(2(2(3(1(2(1(1(0(3(z0)))))))))), 2'(2(3(1(2(1(1(0(3(z0))))))))), 2'(3(1(2(1(1(0(3(z0)))))))), 3'(1(2(1(1(0(3(z0))))))), 1'(2(1(1(0(3(z0)))))), 2'(1(1(0(3(z0))))), 1'(1(0(3(z0)))), 1'(0(3(z0))), 0'(3(z0)), 3'(z0))
   3'(c_0(c_2(c_1(c_3(c_3(c_0(c_1(c_1(c_3(c_0(c_1(c_2(c_3(c_1(c_2(c_1(c_3(z0)))))))))))))))))) -> c85(0'(1(1(2(3(2(3(1(0(2(1(1(1(0(3(3(3(3(z0)))))))))))))))))), 1'(1(2(3(2(3(1(0(2(1(1(1(0(3(3(3(3(z0))))))))))))))))), 1'(2(3(2(3(1(0(2(1(1(1(0(3(3(3(3(z0)))))))))))))))), 2'(3(2(3(1(0(2(1(1(1(0(3(3(3(3(z0))))))))))))))), 3'(2(3(1(0(2(1(1(1(0(3(3(3(3(z0)))))))))))))), 2'(3(1(0(2(1(1(1(0(3(3(3(3(z0))))))))))))), 3'(1(0(2(1(1(1(0(3(3(3(3(z0)))))))))))), 1'(0(2(1(1(1(0(3(3(3(3(z0))))))))))), 0'(2(1(1(1(0(3(3(3(3(z0)))))))))), 2'(1(1(1(0(3(3(3(3(z0))))))))), 1'(1(1(0(3(3(3(3(z0)))))))), 1'(1(0(3(3(3(3(z0))))))), 1'(0(3(3(3(3(z0)))))), 0'(3(3(3(3(z0))))), 3'(3(3(3(z0)))), 3'(3(3(z0))), 3'(3(z0)), 3'(z0))
   3'(c_3(c_2(c_0(c_3(c_2(c_1(c_2(c_2(c_1(c_2(c_0(c_1(c_2(c_3(c_3(c_2(c_0(z0)))))))))))))))))) -> c86(2'(0(3(3(1(2(1(2(1(0(2(3(3(2(3(2(2(0(z0)))))))))))))))))), 0'(3(3(1(2(1(2(1(0(2(3(3(2(3(2(2(0(z0))))))))))))))))), 3'(3(1(2(1(2(1(0(2(3(3(2(3(2(2(0(z0)))))))))))))))), 3'(1(2(1(2(1(0(2(3(3(2(3(2(2(0(z0))))))))))))))), 1'(2(1(2(1(0(2(3(3(2(3(2(2(0(z0)))))))))))))), 2'(1(2(1(0(2(3(3(2(3(2(2(0(z0))))))))))))), 1'(2(1(0(2(3(3(2(3(2(2(0(z0)))))))))))), 2'(1(0(2(3(3(2(3(2(2(0(z0))))))))))), 1'(0(2(3(3(2(3(2(2(0(z0)))))))))), 0'(2(3(3(2(3(2(2(0(z0))))))))), 2'(3(3(2(3(2(2(0(z0)))))))), 3'(3(2(3(2(2(0(z0))))))), 3'(2(3(2(2(0(z0)))))), 2'(3(2(2(0(z0))))), 3'(2(2(0(z0)))), 2'(2(0(z0))), 2'(0(z0)), 0'(z0))
   3'(c_2(c_1(c_3(c_2(c_2(c_3(c_3(c_3(c_2(c_1(c_2(c_0(c_1(c_0(c_1(c_1(c_2(z0)))))))))))))))))) -> c87(2'(3(1(1(0(2(2(0(3(3(3(1(2(3(1(2(1(2(z0)))))))))))))))))), 3'(1(1(0(2(2(0(3(3(3(1(2(3(1(2(1(2(z0))))))))))))))))), 1'(1(0(2(2(0(3(3(3(1(2(3(1(2(1(2(z0)))))))))))))))), 1'(0(2(2(0(3(3(3(1(2(3(1(2(1(2(z0))))))))))))))), 0'(2(2(0(3(3(3(1(2(3(1(2(1(2(z0)))))))))))))), 2'(2(0(3(3(3(1(2(3(1(2(1(2(z0))))))))))))), 2'(0(3(3(3(1(2(3(1(2(1(2(z0)))))))))))), 0'(3(3(3(1(2(3(1(2(1(2(z0))))))))))), 3'(3(3(1(2(3(1(2(1(2(z0)))))))))), 3'(3(1(2(3(1(2(1(2(z0))))))))), 3'(1(2(3(1(2(1(2(z0)))))))), 1'(2(3(1(2(1(2(z0))))))), 2'(3(1(2(1(2(z0)))))), 3'(1(2(1(2(z0))))), 1'(2(1(2(z0)))), 2'(1(2(z0))), 1'(2(z0)), 2'(z0))
   3'(c_0(c_3(c_0(c_1(c_3(c_0(c_2(c_0(c_1(c_1(c_0(c_1(c_0(c_2(c_3(c_0(c_3(z0)))))))))))))))))) -> c88(3'(0(0(2(1(1(0(1(0(3(2(1(0(0(3(3(0(3(z0)))))))))))))))))), 0'(0(2(1(1(0(1(0(3(2(1(0(0(3(3(0(3(z0))))))))))))))))), 0'(2(1(1(0(1(0(3(2(1(0(0(3(3(0(3(z0)))))))))))))))), 2'(1(1(0(1(0(3(2(1(0(0(3(3(0(3(z0))))))))))))))), 1'(1(0(1(0(3(2(1(0(0(3(3(0(3(z0)))))))))))))), 1'(0(1(0(3(2(1(0(0(3(3(0(3(z0))))))))))))), 0'(1(0(3(2(1(0(0(3(3(0(3(z0)))))))))))), 1'(0(3(2(1(0(0(3(3(0(3(z0))))))))))), 0'(3(2(1(0(0(3(3(0(3(z0)))))))))), 3'(2(1(0(0(3(3(0(3(z0))))))))), 2'(1(0(0(3(3(0(3(z0)))))))), 1'(0(0(3(3(0(3(z0))))))), 0'(0(3(3(0(3(z0)))))), 0'(3(3(0(3(z0))))), 3'(3(0(3(z0)))), 3'(0(3(z0))), 0'(3(z0)), 3'(z0))
   3'(c_2(c_0(c_2(c_2(c_0(c_0(c_2(c_3(c_0(c_2(c_3(c_0(c_1(c_2(c_2(c_0(c_2(z0)))))))))))))))))) -> c89(2'(0(3(2(2(2(0(3(2(0(2(1(3(2(0(0(0(2(z0)))))))))))))))))), 0'(3(2(2(2(0(3(2(0(2(1(3(2(0(0(0(2(z0))))))))))))))))), 3'(2(2(2(0(3(2(0(2(1(3(2(0(0(0(2(z0)))))))))))))))), 2'(2(2(0(3(2(0(2(1(3(2(0(0(0(2(z0))))))))))))))), 2'(2(0(3(2(0(2(1(3(2(0(0(0(2(z0)))))))))))))), 2'(0(3(2(0(2(1(3(2(0(0(0(2(z0))))))))))))), 0'(3(2(0(2(1(3(2(0(0(0(2(z0)))))))))))), 3'(2(0(2(1(3(2(0(0(0(2(z0))))))))))), 2'(0(2(1(3(2(0(0(0(2(z0)))))))))), 0'(2(1(3(2(0(0(0(2(z0))))))))), 2'(1(3(2(0(0(0(2(z0)))))))), 1'(3(2(0(0(0(2(z0))))))), 3'(2(0(0(0(2(z0)))))), 2'(0(0(0(2(z0))))), 0'(0(0(2(z0)))), 0'(0(2(z0))), 0'(2(z0)), 2'(z0))
   3'(c_2(c_3(c_2(c_1(c_3(c_0(c_1(c_2(c_1(c_2(c_2(c_1(c_0(c_1(c_1(c_0(c_0(z0)))))))))))))))))) -> c90(3'(2(2(0(1(1(1(1(1(0(0(0(3(2(2(1(3(2(z0)))))))))))))))))), 2'(2(0(1(1(1(1(1(0(0(0(3(2(2(1(3(2(z0))))))))))))))))), 2'(0(1(1(1(1(1(0(0(0(3(2(2(1(3(2(z0)))))))))))))))), 0'(1(1(1(1(1(0(0(0(3(2(2(1(3(2(z0))))))))))))))), 1'(1(1(1(1(0(0(0(3(2(2(1(3(2(z0)))))))))))))), 1'(1(1(1(0(0(0(3(2(2(1(3(2(z0))))))))))))), 1'(1(1(0(0(0(3(2(2(1(3(2(z0)))))))))))), 1'(1(0(0(0(3(2(2(1(3(2(z0))))))))))), 1'(0(0(0(3(2(2(1(3(2(z0)))))))))), 0'(0(0(3(2(2(1(3(2(z0))))))))), 0'(0(3(2(2(1(3(2(z0)))))))), 0'(3(2(2(1(3(2(z0))))))), 3'(2(2(1(3(2(z0)))))), 2'(2(1(3(2(z0))))), 2'(1(3(2(z0)))), 1'(3(2(z0))), 3'(2(z0)), 2'(z0))
   3'(c_2(c_3(c_1(c_1(c_1(c_3(c_2(c_2(c_1(c_2(c_1(c_0(c_0(c_3(c_1(c_3(c_3(z0)))))))))))))))))) -> c91(3'(2(3(2(0(3(1(1(2(3(2(0(1(3(1(1(1(3(z0)))))))))))))))))), 2'(3(2(0(3(1(1(2(3(2(0(1(3(1(1(1(3(z0))))))))))))))))), 3'(2(0(3(1(1(2(3(2(0(1(3(1(1(1(3(z0)))))))))))))))), 2'(0(3(1(1(2(3(2(0(1(3(1(1(1(3(z0))))))))))))))), 0'(3(1(1(2(3(2(0(1(3(1(1(1(3(z0)))))))))))))), 3'(1(1(2(3(2(0(1(3(1(1(1(3(z0))))))))))))), 1'(1(2(3(2(0(1(3(1(1(1(3(z0)))))))))))), 1'(2(3(2(0(1(3(1(1(1(3(z0))))))))))), 2'(3(2(0(1(3(1(1(1(3(z0)))))))))), 3'(2(0(1(3(1(1(1(3(z0))))))))), 2'(0(1(3(1(1(1(3(z0)))))))), 0'(1(3(1(1(1(3(z0))))))), 1'(3(1(1(1(3(z0)))))), 3'(1(1(1(3(z0))))), 1'(1(1(3(z0)))), 1'(1(3(z0))), 1'(3(z0)), 3'(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, c21_18, c22_18, c23_18, c24_18, c25_18, c26_18, c27_18, c28_18, c29_18, c30_18, c31_18, c32_18, c33_18, c34_18, 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_18, c57_18, c58_18, c60_18, c61_18, c62_18, c63_18, c64_18, c65_18, c66_18, c67_18, c68_18, c69_18, c70_18, c71_18, c72_18, c73_18, c74_18, c75_18, c76_18, c77_18, c78_18, c79_18, c80_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_3(c_0(c_0(c_2(c_1(c_0(c_0(c_2(c_1(c_2(c_2(c_3(c_2(c_0(c_0(c_2(c_0(z0)))))))))))))))))) -> c9(0'(2(0(0(0(2(0(3(0(2(2(0(1(1(3(2(2(0(z0)))))))))))))))))), 2'(0(0(0(2(0(3(0(2(2(0(1(1(3(2(2(0(z0))))))))))))))))), 0'(0(0(2(0(3(0(2(2(0(1(1(3(2(2(0(z0)))))))))))))))), 0'(0(2(0(3(0(2(2(0(1(1(3(2(2(0(z0))))))))))))))), 0'(2(0(3(0(2(2(0(1(1(3(2(2(0(z0)))))))))))))), 2'(0(3(0(2(2(0(1(1(3(2(2(0(z0))))))))))))), 0'(3(0(2(2(0(1(1(3(2(2(0(z0)))))))))))), 3'(0(2(2(0(1(1(3(2(2(0(z0))))))))))), 0'(2(2(0(1(1(3(2(2(0(z0)))))))))), 2'(2(0(1(1(3(2(2(0(z0))))))))), 2'(0(1(1(3(2(2(0(z0)))))))), 0'(1(1(3(2(2(0(z0))))))), 1'(1(3(2(2(0(z0)))))), 1'(3(2(2(0(z0))))), 3'(2(2(0(z0)))), 2'(2(0(z0))), 2'(0(z0)), 0'(z0)) by 
   0'(c_3(c_0(c_0(c_2(c_1(c_0(c_0(c_2(c_1(c_2(c_2(c_3(c_2(c_0(c_0(c_2(c_0(x0)))))))))))))))))) -> c9(0'(c_2(0(0(0(2(0(3(0(2(2(0(1(1(3(2(2(0(x0)))))))))))))))))), 2'(0(0(0(2(0(3(0(2(2(0(1(1(3(2(2(0(x0))))))))))))))))), 0'(0(0(2(0(3(0(2(2(0(1(1(3(2(2(0(x0)))))))))))))))), 0'(0(2(0(3(0(2(2(0(1(1(3(2(2(0(x0))))))))))))))), 0'(2(0(3(0(2(2(0(1(1(3(2(2(0(x0)))))))))))))), 2'(0(3(0(2(2(0(1(1(3(2(2(0(x0))))))))))))), 0'(3(0(2(2(0(1(1(3(2(2(0(x0)))))))))))), 3'(0(2(2(0(1(1(3(2(2(0(x0))))))))))), 0'(2(2(0(1(1(3(2(2(0(x0)))))))))), 2'(2(0(1(1(3(2(2(0(x0))))))))), 2'(0(1(1(3(2(2(0(x0)))))))), 0'(1(1(3(2(2(0(x0))))))), 1'(1(3(2(2(0(x0)))))), 1'(3(2(2(0(x0))))), 3'(2(2(0(x0)))), 2'(2(0(x0))), 2'(0(x0)), 0'(x0))
   0'(c_3(c_0(c_0(c_2(c_1(c_0(c_0(c_2(c_1(c_2(c_2(c_3(c_2(c_0(c_0(c_2(c_0(x0)))))))))))))))))) -> c9(0'(2(c_0(0(0(2(0(3(0(2(2(0(1(1(3(2(2(0(x0)))))))))))))))))), 2'(0(0(0(2(0(3(0(2(2(0(1(1(3(2(2(0(x0))))))))))))))))), 0'(0(0(2(0(3(0(2(2(0(1(1(3(2(2(0(x0)))))))))))))))), 0'(0(2(0(3(0(2(2(0(1(1(3(2(2(0(x0))))))))))))))), 0'(2(0(3(0(2(2(0(1(1(3(2(2(0(x0)))))))))))))), 2'(0(3(0(2(2(0(1(1(3(2(2(0(x0))))))))))))), 0'(3(0(2(2(0(1(1(3(2(2(0(x0)))))))))))), 3'(0(2(2(0(1(1(3(2(2(0(x0))))))))))), 0'(2(2(0(1(1(3(2(2(0(x0)))))))))), 2'(2(0(1(1(3(2(2(0(x0))))))))), 2'(0(1(1(3(2(2(0(x0)))))))), 0'(1(1(3(2(2(0(x0))))))), 1'(1(3(2(2(0(x0)))))), 1'(3(2(2(0(x0))))), 3'(2(2(0(x0)))), 2'(2(0(x0))), 2'(0(x0)), 0'(x0))
   0'(c_3(c_0(c_0(c_2(c_1(c_0(c_0(c_2(c_1(c_2(c_2(c_3(c_2(c_0(c_0(c_2(c_0(x0)))))))))))))))))) -> c9(0'(2(0(c_0(0(2(0(3(0(2(2(0(1(1(3(2(2(0(x0)))))))))))))))))), 2'(0(0(0(2(0(3(0(2(2(0(1(1(3(2(2(0(x0))))))))))))))))), 0'(0(0(2(0(3(0(2(2(0(1(1(3(2(2(0(x0)))))))))))))))), 0'(0(2(0(3(0(2(2(0(1(1(3(2(2(0(x0))))))))))))))), 0'(2(0(3(0(2(2(0(1(1(3(2(2(0(x0)))))))))))))), 2'(0(3(0(2(2(0(1(1(3(2(2(0(x0))))))))))))), 0'(3(0(2(2(0(1(1(3(2(2(0(x0)))))))))))), 3'(0(2(2(0(1(1(3(2(2(0(x0))))))))))), 0'(2(2(0(1(1(3(2(2(0(x0)))))))))), 2'(2(0(1(1(3(2(2(0(x0))))))))), 2'(0(1(1(3(2(2(0(x0)))))))), 0'(1(1(3(2(2(0(x0))))))), 1'(1(3(2(2(0(x0)))))), 1'(3(2(2(0(x0))))), 3'(2(2(0(x0)))), 2'(2(0(x0))), 2'(0(x0)), 0'(x0))
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   0'(c_3(c_0(c_0(c_2(c_1(c_0(c_0(c_2(c_1(c_2(c_2(c_3(c_2(c_0(c_0(c_2(c_0(c_2(c_3(c_1(c_2(c_3(c_2(c_1(c_0(c_1(c_0(c_0(c_3(c_1(c_3(c_1(c_2(c_3(z0))))))))))))))))))))))))))))))))))) -> c9(0'(2(0(0(0(2(0(3(0(2(2(0(1(1(3(2(2(0(2(3(3(1(2(1(1(1(0(2(3(1(0(2(0(3(3(z0))))))))))))))))))))))))))))))))))), 2'(0(0(0(2(0(3(0(2(2(0(1(1(3(2(2(0(c_2(c_3(c_1(c_2(c_3(c_2(c_1(c_0(c_1(c_0(c_0(c_3(c_1(c_3(c_1(c_2(c_3(z0)))))))))))))))))))))))))))))))))), 0'(0(0(2(0(3(0(2(2(0(1(1(3(2(2(0(c_2(c_3(c_1(c_2(c_3(c_2(c_1(c_0(c_1(c_0(c_0(c_3(c_1(c_3(c_1(c_2(c_3(z0))))))))))))))))))))))))))))))))), 0'(0(2(0(3(0(2(2(0(1(1(3(2(2(0(c_2(c_3(c_1(c_2(c_3(c_2(c_1(c_0(c_1(c_0(c_0(c_3(c_1(c_3(c_1(c_2(c_3(z0)))))))))))))))))))))))))))))))), 0'(2(0(3(0(2(2(0(1(1(3(2(2(0(c_2(c_3(c_1(c_2(c_3(c_2(c_1(c_0(c_1(c_0(c_0(c_3(c_1(c_3(c_1(c_2(c_3(z0))))))))))))))))))))))))))))))), 2'(0(3(0(2(2(0(1(1(3(2(2(0(c_2(c_3(c_1(c_2(c_3(c_2(c_1(c_0(c_1(c_0(c_0(c_3(c_1(c_3(c_1(c_2(c_3(z0)))))))))))))))))))))))))))))), 0'(3(0(2(2(0(1(1(3(2(2(0(c_2(c_3(c_1(c_2(c_3(c_2(c_1(c_0(c_1(c_0(c_0(c_3(c_1(c_3(c_1(c_2(c_3(z0))))))))))))))))))))))))))))), 3'(0(2(2(0(1(1(3(2(2(0(c_2(c_3(c_1(c_2(c_3(c_2(c_1(c_0(c_1(c_0(c_0(c_3(c_1(c_3(c_1(c_2(c_3(z0)))))))))))))))))))))))))))), 0'(2(2(0(1(1(3(2(2(0(c_2(c_3(c_1(c_2(c_3(c_2(c_1(c_0(c_1(c_0(c_0(c_3(c_1(c_3(c_1(c_2(c_3(z0))))))))))))))))))))))))))), 2'(2(0(1(1(3(2(2(0(c_2(c_3(c_1(c_2(c_3(c_2(c_1(c_0(c_1(c_0(c_0(c_3(c_1(c_3(c_1(c_2(c_3(z0)))))))))))))))))))))))))), 2'(0(1(1(3(2(2(0(c_2(c_3(c_1(c_2(c_3(c_2(c_1(c_0(c_1(c_0(c_0(c_3(c_1(c_3(c_1(c_2(c_3(z0))))))))))))))))))))))))), 0'(1(1(3(2(2(0(c_2(c_3(c_1(c_2(c_3(c_2(c_1(c_0(c_1(c_0(c_0(c_3(c_1(c_3(c_1(c_2(c_3(z0)))))))))))))))))))))))), 1'(1(3(2(2(0(c_2(c_3(c_1(c_2(c_3(c_2(c_1(c_0(c_1(c_0(c_0(c_3(c_1(c_3(c_1(c_2(c_3(z0))))))))))))))))))))))), 1'(3(2(2(0(c_2(c_3(c_1(c_2(c_3(c_2(c_1(c_0(c_1(c_0(c_0(c_3(c_1(c_3(c_1(c_2(c_3(z0)))))))))))))))))))))), 3'(2(2(0(c_2(c_3(c_1(c_2(c_3(c_2(c_1(c_0(c_1(c_0(c_0(c_3(c_1(c_3(c_1(c_2(c_3(z0))))))))))))))))))))), 2'(2(0(c_2(c_3(c_1(c_2(c_3(c_2(c_1(c_0(c_1(c_0(c_0(c_3(c_1(c_3(c_1(c_2(c_3(z0)))))))))))))))))))), 2'(0(c_2(c_3(c_1(c_2(c_3(c_2(c_1(c_0(c_1(c_0(c_0(c_3(c_1(c_3(c_1(c_2(c_3(z0))))))))))))))))))), 0'(c_2(c_3(c_1(c_2(c_3(c_2(c_1(c_0(c_1(c_0(c_0(c_3(c_1(c_3(c_1(c_2(c_3(z0)))))))))))))))))))
   0'(c_3(c_0(c_0(c_2(c_1(c_0(c_0(c_2(c_1(c_2(c_2(c_3(c_2(c_0(c_0(c_2(c_0(c_2(c_0(c_1(c_3(c_0(c_0(c_1(c_3(c_0(c_2(c_0(c_1(c_3(c_1(c_1(c_3(c_1(z0))))))))))))))))))))))))))))))))))) -> c9(0'(2(0(0(0(2(0(3(0(2(2(0(1(1(3(2(2(0(2(0(1(3(1(1(2(1(0(0(3(3(0(0(1(3(1(z0))))))))))))))))))))))))))))))))))), 2'(0(0(0(2(0(3(0(2(2(0(1(1(3(2(2(0(c_2(c_0(c_1(c_3(c_0(c_0(c_1(c_3(c_0(c_2(c_0(c_1(c_3(c_1(c_1(c_3(c_1(z0)))))))))))))))))))))))))))))))))), 0'(0(0(2(0(3(0(2(2(0(1(1(3(2(2(0(c_2(c_0(c_1(c_3(c_0(c_0(c_1(c_3(c_0(c_2(c_0(c_1(c_3(c_1(c_1(c_3(c_1(z0))))))))))))))))))))))))))))))))), 0'(0(2(0(3(0(2(2(0(1(1(3(2(2(0(c_2(c_0(c_1(c_3(c_0(c_0(c_1(c_3(c_0(c_2(c_0(c_1(c_3(c_1(c_1(c_3(c_1(z0)))))))))))))))))))))))))))))))), 0'(2(0(3(0(2(2(0(1(1(3(2(2(0(c_2(c_0(c_1(c_3(c_0(c_0(c_1(c_3(c_0(c_2(c_0(c_1(c_3(c_1(c_1(c_3(c_1(z0))))))))))))))))))))))))))))))), 2'(0(3(0(2(2(0(1(1(3(2(2(0(c_2(c_0(c_1(c_3(c_0(c_0(c_1(c_3(c_0(c_2(c_0(c_1(c_3(c_1(c_1(c_3(c_1(z0)))))))))))))))))))))))))))))), 0'(3(0(2(2(0(1(1(3(2(2(0(c_2(c_0(c_1(c_3(c_0(c_0(c_1(c_3(c_0(c_2(c_0(c_1(c_3(c_1(c_1(c_3(c_1(z0))))))))))))))))))))))))))))), 3'(0(2(2(0(1(1(3(2(2(0(c_2(c_0(c_1(c_3(c_0(c_0(c_1(c_3(c_0(c_2(c_0(c_1(c_3(c_1(c_1(c_3(c_1(z0)))))))))))))))))))))))))))), 0'(2(2(0(1(1(3(2(2(0(c_2(c_0(c_1(c_3(c_0(c_0(c_1(c_3(c_0(c_2(c_0(c_1(c_3(c_1(c_1(c_3(c_1(z0))))))))))))))))))))))))))), 2'(2(0(1(1(3(2(2(0(c_2(c_0(c_1(c_3(c_0(c_0(c_1(c_3(c_0(c_2(c_0(c_1(c_3(c_1(c_1(c_3(c_1(z0)))))))))))))))))))))))))), 2'(0(1(1(3(2(2(0(c_2(c_0(c_1(c_3(c_0(c_0(c_1(c_3(c_0(c_2(c_0(c_1(c_3(c_1(c_1(c_3(c_1(z0))))))))))))))))))))))))), 0'(1(1(3(2(2(0(c_2(c_0(c_1(c_3(c_0(c_0(c_1(c_3(c_0(c_2(c_0(c_1(c_3(c_1(c_1(c_3(c_1(z0)))))))))))))))))))))))), 1'(1(3(2(2(0(c_2(c_0(c_1(c_3(c_0(c_0(c_1(c_3(c_0(c_2(c_0(c_1(c_3(c_1(c_1(c_3(c_1(z0))))))))))))))))))))))), 1'(3(2(2(0(c_2(c_0(c_1(c_3(c_0(c_0(c_1(c_3(c_0(c_2(c_0(c_1(c_3(c_1(c_1(c_3(c_1(z0)))))))))))))))))))))), 3'(2(2(0(c_2(c_0(c_1(c_3(c_0(c_0(c_1(c_3(c_0(c_2(c_0(c_1(c_3(c_1(c_1(c_3(c_1(z0))))))))))))))))))))), 2'(2(0(c_2(c_0(c_1(c_3(c_0(c_0(c_1(c_3(c_0(c_2(c_0(c_1(c_3(c_1(c_1(c_3(c_1(z0)))))))))))))))))))), 2'(0(c_2(c_0(c_1(c_3(c_0(c_0(c_1(c_3(c_0(c_2(c_0(c_1(c_3(c_1(c_1(c_3(c_1(z0))))))))))))))))))), 0'(c_2(c_0(c_1(c_3(c_0(c_0(c_1(c_3(c_0(c_2(c_0(c_1(c_3(c_1(c_1(c_3(c_1(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_3(c_0(c_0(c_2(c_1(c_0(c_0(c_2(c_1(c_2(c_2(c_3(c_2(c_0(c_0(c_2(c_0(z0)))))))))))))))))) -> 0(2(0(0(0(2(0(3(0(2(2(0(1(1(3(2(2(0(z0))))))))))))))))))
   0(c_0(c_3(c_3(c_0(c_2(c_3(c_0(c_3(c_0(c_2(c_1(c_0(c_0(c_0(c_3(c_3(c_0(z0)))))))))))))))))) -> 0(0(3(1(0(3(0(0(3(3(0(3(3(0(0(2(0(2(z0))))))))))))))))))
   0(c_0(c_1(c_1(c_2(c_1(c_3(c_1(c_3(c_1(c_1(c_1(c_2(c_2(c_1(c_0(c_2(c_2(z0)))))))))))))))))) -> 2(1(1(1(1(0(3(1(1(1(2(0(3(1(0(2(2(2(z0))))))))))))))))))
   0(c_3(c_3(c_0(c_0(c_0(c_1(c_3(c_2(c_2(c_3(c_2(c_1(c_3(c_0(c_0(c_2(c_1(z0)))))))))))))))))) -> 0(2(2(0(0(3(0(2(3(1(0(3(1(0(3(2(3(1(z0))))))))))))))))))
   0(c_0(c_0(c_0(c_1(c_1(c_3(c_2(c_3(c_3(c_0(c_1(c_1(c_2(c_0(c_1(c_3(c_1(z0)))))))))))))))))) -> 0(0(0(1(1(1(0(1(3(3(1(0(3(2(0(2(3(1(z0))))))))))))))))))
   0(c_2(c_1(c_2(c_1(c_1(c_2(c_3(c_2(c_1(c_0(c_0(c_1(c_0(c_0(c_3(c_0(c_3(z0)))))))))))))))))) -> 0(3(2(0(0(1(2(1(0(2(1(1(3(1(0(0(2(3(z0))))))))))))))))))
   0(c_0(c_0(c_2(c_3(c_0(c_0(c_0(c_0(c_0(c_0(c_1(c_1(c_0(c_3(c_0(c_0(c_0(z0)))))))))))))))))) -> 0(0(3(1(0(0(0(0(2(0(0(0(3(1(0(0(0(0(z0))))))))))))))))))
   0(c_3(c_2(c_0(c_3(c_0(c_0(c_1(c_2(c_1(c_2(c_0(c_1(c_2(c_1(c_3(c_0(c_0(z0)))))))))))))))))) -> 0(2(2(0(3(3(1(0(0(3(0(2(1(1(0(1(2(0(z0))))))))))))))))))
   0(c_2(c_0(c_2(c_1(c_1(c_2(c_1(c_2(c_0(c_0(c_3(c_2(c_2(c_3(c_0(c_0(c_3(z0)))))))))))))))))) -> 0(3(2(2(0(2(2(2(2(0(3(0(1(0(1(1(0(3(z0))))))))))))))))))
   0(c_2(c_3(c_1(c_2(c_3(c_2(c_1(c_0(c_1(c_0(c_0(c_3(c_1(c_3(c_1(c_2(c_3(z0)))))))))))))))))) -> 0(2(3(3(1(2(1(1(1(0(2(3(1(0(2(0(3(3(z0))))))))))))))))))
   0(c_2(c_0(c_1(c_3(c_0(c_0(c_1(c_3(c_0(c_2(c_0(c_1(c_3(c_1(c_1(c_3(c_1(z0)))))))))))))))))) -> 0(2(0(1(3(1(1(2(1(0(0(3(3(0(0(1(3(1(z0))))))))))))))))))
   1(z0) -> c_1(z0)
   1(c_0(c_0(c_1(c_0(c_0(c_3(c_3(c_0(c_0(c_2(c_1(c_2(c_1(c_3(c_3(c_1(c_3(z0)))))))))))))))))) -> 1(0(3(0(0(3(3(0(0(2(1(0(3(1(2(3(1(1(z0))))))))))))))))))
   1(c_3(c_3(c_0(c_3(c_2(c_1(c_1(c_1(c_0(c_1(c_3(c_2(c_3(c_1(c_1(c_2(c_1(z0)))))))))))))))))) -> 1(3(1(3(0(1(1(3(2(3(2(2(0(3(1(1(1(1(z0))))))))))))))))))
   1(c_2(c_3(c_1(c_3(c_0(c_1(c_2(c_2(c_0(c_2(c_0(c_1(c_1(c_1(c_1(c_0(c_1(z0)))))))))))))))))) -> 1(2(2(0(1(1(1(1(0(0(3(2(1(0(2(3(1(1(z0))))))))))))))))))
   1(c_0(c_3(c_1(c_2(c_0(c_3(c_3(c_2(c_1(c_2(c_0(c_0(c_1(c_0(c_2(c_1(c_3(z0)))))))))))))))))) -> 1(0(3(3(1(0(2(0(3(1(0(3(2(1(2(2(1(0(z0))))))))))))))))))
   1(c_1(c_3(c_2(c_1(c_0(c_0(c_3(c_3(c_1(c_1(c_3(c_2(c_0(c_1(c_2(c_1(c_1(z0)))))))))))))))))) -> 1(1(2(3(3(0(0(3(3(1(1(1(1(1(0(2(2(1(z0))))))))))))))))))
   1(c_1(c_2(c_0(c_3(c_0(c_2(c_1(c_3(c_3(c_0(c_3(c_3(c_3(c_3(c_3(c_1(c_2(z0)))))))))))))))))) -> 1(0(3(3(0(3(3(1(0(2(3(1(1(3(2(3(2(3(z0))))))))))))))))))
   1(c_3(c_0(c_3(c_0(c_1(c_3(c_1(c_2(c_1(c_0(c_2(c_1(c_1(c_3(c_0(c_1(c_1(z0)))))))))))))))))) -> 1(0(1(0(3(1(3(1(0(1(1(3(2(3(0(2(1(1(z0))))))))))))))))))
   1(c_3(c_3(c_3(c_1(c_2(c_0(c_1(c_2(c_0(c_0(c_2(c_1(c_3(c_3(c_3(c_0(c_2(z0)))))))))))))))))) -> 1(3(1(1(0(3(3(0(2(0(1(3(0(3(2(3(2(2(z0))))))))))))))))))
   1(c_1(c_2(c_1(c_0(c_0(c_3(c_0(c_3(c_1(c_3(c_0(c_1(c_3(c_1(c_3(c_3(c_3(z0)))))))))))))))))) -> 3(0(1(1(1(1(3(0(3(1(1(0(3(0(2(3(3(3(z0))))))))))))))))))
   1(c_3(c_0(c_1(c_3(c_1(c_2(c_1(c_2(c_1(c_2(c_2(c_2(c_1(c_3(c_0(c_1(c_3(z0)))))))))))))))))) -> 2(3(2(1(1(2(2(1(3(1(0(2(1(1(1(0(3(3(z0))))))))))))))))))
   1(c_2(c_2(c_3(c_3(c_2(c_0(c_1(c_3(c_1(c_2(c_0(c_3(c_0(c_3(c_2(c_0(c_2(z0)))))))))))))))))) -> 2(3(1(0(3(1(0(2(3(3(2(2(0(0(3(1(2(2(z0))))))))))))))))))
   1(c_3(c_2(c_1(c_0(c_1(c_2(c_1(c_3(c_1(c_1(c_3(c_3(c_3(c_0(c_2(c_1(c_3(z0)))))))))))))))))) -> 1(0(3(1(1(2(2(3(2(3(1(1(3(1(1(0(3(3(z0))))))))))))))))))
   1(c_3(c_3(c_1(c_3(c_2(c_2(c_2(c_2(c_2(c_0(c_1(c_2(c_2(c_0(c_3(c_0(c_3(z0)))))))))))))))))) -> 1(3(2(0(1(0(2(2(2(2(2(1(0(3(3(3(2(3(z0))))))))))))))))))
   1(c_1(c_2(c_0(c_3(c_0(c_1(c_3(c_0(c_2(c_3(c_3(c_3(c_2(c_2(c_3(c_0(c_3(z0)))))))))))))))))) -> 3(3(0(3(1(0(3(2(3(2(2(0(3(2(1(1(0(3(z0))))))))))))))))))
   2(z0) -> c_2(z0)
   2(c_1(c_0(c_1(c_1(c_2(c_2(c_3(c_3(c_2(c_1(c_2(c_1(c_2(c_2(c_3(c_0(c_2(z0)))))))))))))))))) -> 2(3(2(1(1(0(1(2(2(2(0(3(2(2(1(1(3(2(z0))))))))))))))))))
   2(c_0(c_3(c_2(c_0(c_3(c_1(c_0(c_0(c_0(c_1(c_3(c_0(c_0(c_3(c_0(c_2(c_2(z0)))))))))))))))))) -> 2(3(0(0(0(0(0(0(0(2(3(1(3(1(0(3(2(2(z0))))))))))))))))))
   2(c_1(c_1(c_1(c_0(c_1(c_0(c_0(c_3(c_3(c_0(c_3(c_2(c_0(c_1(c_2(c_1(c_3(z0)))))))))))))))))) -> 2(2(3(0(3(1(0(0(3(0(1(1(1(1(2(1(0(3(z0))))))))))))))))))
   2(c_2(c_1(c_3(c_0(c_1(c_3(c_0(c_1(c_2(c_0(c_2(c_2(c_1(c_3(c_2(c_2(c_2(z0)))))))))))))))))) -> 1(1(2(2(3(3(3(2(2(0(2(0(1(0(2(2(1(2(z0))))))))))))))))))
   2(c_1(c_0(c_0(c_3(c_0(c_0(c_0(c_1(c_3(c_0(c_1(c_3(c_0(c_1(c_3(c_2(c_1(z0)))))))))))))))))) -> 3(0(0(0(1(1(2(3(3(0(0(3(0(1(0(2(1(1(z0))))))))))))))))))
   2(c_2(c_1(c_2(c_3(c_2(c_1(c_1(c_1(c_0(c_0(c_3(c_3(c_1(c_2(c_2(c_1(c_3(z0)))))))))))))))))) -> 2(2(1(1(1(2(1(2(3(2(3(1(3(1(0(2(0(3(z0))))))))))))))))))
   2(c_1(c_1(c_3(c_0(c_2(c_1(c_3(c_2(c_2(c_3(c_3(c_3(c_1(c_3(c_2(c_3(c_3(z0)))))))))))))))))) -> 2(2(3(3(1(2(1(0(1(1(3(3(2(3(3(2(3(3(z0))))))))))))))))))
   2(c_1(c_3(c_0(c_3(c_0(c_1(c_0(c_1(c_3(c_3(c_0(c_1(c_3(c_3(c_0(c_2(c_3(z0)))))))))))))))))) -> 2(3(3(0(3(3(0(0(3(2(3(1(1(1(0(3(1(0(z0))))))))))))))))))
   2(c_2(c_1(c_2(c_2(c_2(c_2(c_2(c_1(c_3(c_2(c_1(c_3(c_0(c_3(c_3(c_1(c_2(z0)))))))))))))))))) -> 2(2(0(2(2(2(3(1(2(1(3(2(3(1(1(2(3(2(z0))))))))))))))))))
   2(c_2(c_1(c_0(c_1(c_3(c_2(c_2(c_0(c_2(c_2(c_2(c_2(c_0(c_2(c_2(c_1(c_2(z0)))))))))))))))))) -> 2(3(2(2(2(1(2(2(2(0(1(0(2(2(0(2(1(2(z0))))))))))))))))))
   2(c_2(c_3(c_0(c_2(c_3(c_1(c_2(c_0(c_2(c_2(c_1(c_3(c_0(c_0(c_1(c_3(c_2(z0)))))))))))))))))) -> 3(0(2(1(3(2(2(1(1(2(0(3(0(0(2(2(3(2(z0))))))))))))))))))
   2(c_2(c_3(c_1(c_1(c_2(c_0(c_2(c_0(c_3(c_0(c_0(c_2(c_1(c_0(c_1(c_3(c_2(z0)))))))))))))))))) -> 2(2(3(2(2(0(3(0(3(1(0(1(1(1(2(2(0(0(z0))))))))))))))))))
   2(c_2(c_3(c_1(c_3(c_1(c_3(c_0(c_2(c_1(c_3(c_1(c_2(c_3(c_1(c_3(c_3(c_1(z0)))))))))))))))))) -> 2(3(3(1(3(1(3(3(2(3(1(1(2(3(2(1(0(1(z0))))))))))))))))))
   2(c_1(c_0(c_2(c_0(c_1(c_0(c_3(c_2(c_1(c_3(c_1(c_1(c_3(c_2(c_2(c_1(c_0(z0)))))))))))))))))) -> 2(3(1(2(3(2(2(1(2(0(0(1(0(3(1(1(1(0(z0))))))))))))))))))
   2(c_1(c_2(c_2(c_1(c_0(c_1(c_3(c_0(c_1(c_1(c_0(c_0(c_3(c_3(c_2(c_2(c_3(z0)))))))))))))))))) -> 2(0(3(1(0(1(3(1(3(2(2(2(2(0(1(1(0(3(z0))))))))))))))))))
   2(c_2(c_1(c_2(c_0(c_1(c_3(c_0(c_1(c_1(c_1(c_1(c_2(c_2(c_0(c_0(c_2(c_2(z0)))))))))))))))))) -> 2(0(0(1(1(0(2(2(3(1(2(2(1(2(1(1(0(2(z0))))))))))))))))))
   2(c_2(c_1(c_2(c_2(c_2(c_3(c_2(c_0(c_3(c_3(c_0(c_1(c_2(c_0(c_2(c_3(c_3(z0)))))))))))))))))) -> 2(3(1(3(1(0(2(2(3(0(2(2(2(3(2(2(0(3(z0))))))))))))))))))
   2(c_2(c_3(c_1(c_0(c_3(c_0(c_2(c_1(c_3(c_2(c_2(c_2(c_3(c_3(c_3(c_1(c_2(z0)))))))))))))))))) -> 1(1(0(3(2(2(3(2(2(1(0(2(3(3(2(3(3(2(z0))))))))))))))))))
   2(c_3(c_3(c_1(c_3(c_1(c_0(c_0(c_1(c_1(c_3(c_3(c_3(c_1(c_2(c_2(c_1(c_3(z0)))))))))))))))))) -> 2(2(1(3(3(1(1(0(3(1(1(1(3(3(2(3(0(3(z0))))))))))))))))))
   2(c_0(c_1(c_2(c_0(c_0(c_0(c_2(c_2(c_1(c_3(c_2(c_1(c_0(c_1(c_0(c_2(c_0(z0)))))))))))))))))) -> 2(0(2(0(1(0(1(1(0(1(0(3(2(0(2(2(2(0(z0))))))))))))))))))
   2(c_1(c_3(c_1(c_1(c_2(c_1(c_2(c_3(c_0(c_3(c_2(c_0(c_1(c_0(c_1(c_2(c_1(z0)))))))))))))))))) -> 3(0(0(3(1(1(1(1(1(2(3(2(0(2(2(1(2(1(z0))))))))))))))))))
   2(c_3(c_2(c_1(c_3(c_1(c_2(c_0(c_0(c_1(c_3(c_0(c_1(c_2(c_0(c_3(c_1(c_1(z0)))))))))))))))))) -> 1(2(3(1(1(0(1(3(0(0(0(3(2(3(2(2(1(1(z0))))))))))))))))))
   2(c_3(c_2(c_1(c_2(c_0(c_3(c_0(c_1(c_3(c_3(c_3(c_0(c_2(c_3(c_0(c_0(c_0(z0)))))))))))))))))) -> 3(0(0(3(0(2(3(1(1(3(3(2(2(0(3(0(2(0(z0))))))))))))))))))
   3(z0) -> c_3(z0)
   3(c_0(c_0(c_3(c_1(c_3(c_3(c_2(c_2(c_1(c_1(c_0(c_2(c_1(c_2(c_0(c_2(c_0(z0)))))))))))))))))) -> 3(3(1(0(2(0(2(0(2(0(2(3(1(1(3(1(0(2(z0))))))))))))))))))
   3(c_2(c_0(c_1(c_0(c_0(c_0(c_3(c_1(c_3(c_1(c_3(c_3(c_2(c_0(c_1(c_1(c_1(z0)))))))))))))))))) -> 3(2(0(3(0(1(1(1(0(1(1(0(3(0(3(2(3(1(z0))))))))))))))))))
   3(c_2(c_2(c_3(c_1(c_2(c_2(c_2(c_1(c_3(c_3(c_3(c_0(c_2(c_1(c_3(c_2(c_1(z0)))))))))))))))))) -> 3(2(2(1(2(2(2(3(2(3(3(1(1(3(3(0(2(1(z0))))))))))))))))))
   3(c_0(c_1(c_0(c_2(c_0(c_3(c_1(c_3(c_3(c_1(c_3(c_3(c_0(c_2(c_2(c_3(c_0(z0)))))))))))))))))) -> 3(0(2(1(0(3(0(3(3(0(2(3(3(1(1(2(3(0(z0))))))))))))))))))
   3(c_3(c_2(c_0(c_3(c_1(c_2(c_2(c_3(c_1(c_3(c_2(c_3(c_2(c_2(c_1(c_2(c_0(z0)))))))))))))))))) -> 3(2(1(3(2(3(2(0(3(2(2(3(2(3(1(1(2(0(z0))))))))))))))))))
   3(c_1(c_2(c_3(c_0(c_2(c_2(c_1(c_1(c_3(c_1(c_0(c_0(c_1(c_0(c_2(c_3(c_0(z0)))))))))))))))))) -> 3(1(0(0(0(3(1(1(0(3(1(2(1(2(2(3(2(0(z0))))))))))))))))))
   3(c_0(c_3(c_2(c_0(c_3(c_1(c_1(c_2(c_1(c_3(c_3(c_2(c_1(c_0(c_3(c_2(c_1(z0)))))))))))))))))) -> 2(3(3(0(1(1(1(0(2(1(2(3(3(0(3(3(2(1(z0))))))))))))))))))
   3(c_3(c_0(c_3(c_1(c_3(c_3(c_1(c_2(c_0(c_3(c_2(c_2(c_2(c_3(c_2(c_3(c_0(z0)))))))))))))))))) -> 3(2(3(1(0(3(2(1(2(3(3(3(0(0(3(3(2(2(z0))))))))))))))))))
   3(c_1(c_1(c_3(c_1(c_3(c_3(c_0(c_3(c_1(c_3(c_0(c_2(c_1(c_2(c_2(c_1(c_3(z0)))))))))))))))))) -> 3(3(3(2(0(2(1(1(2(3(1(1(3(0(3(1(1(3(z0))))))))))))))))))
   3(c_3(c_0(c_2(c_3(c_3(c_0(c_0(c_2(c_1(c_0(c_3(c_0(c_1(c_0(c_1(c_0(c_2(z0)))))))))))))))))) -> 2(0(3(3(3(0(2(0(3(1(1(1(0(0(0(0(3(2(z0))))))))))))))))))
   3(c_2(c_0(c_1(c_2(c_1(c_2(c_3(c_2(c_3(c_2(c_0(c_2(c_1(c_2(c_1(c_2(c_0(z0)))))))))))))))))) -> 2(1(1(3(2(0(2(3(1(1(2(2(0(2(3(2(2(0(z0))))))))))))))))))
   3(c_0(c_1(c_3(c_2(c_2(c_3(c_2(c_0(c_1(c_0(c_0(c_3(c_0(c_1(c_0(c_2(c_0(z0)))))))))))))))))) -> 2(3(1(2(0(2(0(3(1(0(0(0(3(2(3(1(0(0(z0))))))))))))))))))
   3(c_0(c_1(c_0(c_0(c_1(c_3(c_0(c_0(c_1(c_3(c_0(c_1(c_2(c_0(c_3(c_3(c_3(z0)))))))))))))))))) -> 1(1(3(0(0(3(1(0(1(0(2(3(0(3(3(0(0(3(z0))))))))))))))))))
   3(c_3(c_1(c_1(c_3(c_0(c_2(c_1(c_3(c_2(c_0(c_1(c_2(c_3(c_3(c_3(c_2(c_3(z0)))))))))))))))))) -> 3(1(0(3(1(1(0(3(3(2(2(2(2(3(1(3(3(3(z0))))))))))))))))))
   3(c_2(c_3(c_3(c_0(c_2(c_3(c_2(c_0(c_2(c_3(c_2(c_2(c_1(c_3(c_3(c_0(c_3(z0)))))))))))))))))) -> 3(3(2(2(3(3(2(3(0(0(3(2(2(1(0(3(2(3(z0))))))))))))))))))
   3(c_2(c_0(c_2(c_2(c_3(c_0(c_0(c_1(c_3(c_0(c_2(c_0(c_0(c_2(c_1(c_3(c_0(z0)))))))))))))))))) -> 2(1(0(0(0(0(3(2(3(0(3(1(3(0(0(2(2(2(z0))))))))))))))))))
   3(c_1(c_3(c_3(c_0(c_2(c_2(c_2(c_0(c_1(c_2(c_0(c_1(c_0(c_1(c_2(c_2(c_0(z0)))))))))))))))))) -> 3(2(3(2(0(3(1(2(1(1(1(2(0(0(0(2(2(0(z0))))))))))))))))))
   3(c_2(c_1(c_2(c_3(c_3(c_1(c_2(c_1(c_1(c_2(c_3(c_0(c_2(c_3(c_1(c_2(c_3(z0)))))))))))))))))) -> 2(0(2(3(1(1(3(3(1(2(2(2(3(3(1(1(2(3(z0))))))))))))))))))
   3(c_3(c_3(c_1(c_3(c_0(c_3(c_3(c_1(c_3(c_0(c_1(c_0(c_0(c_2(c_1(c_2(c_0(z0)))))))))))))))))) -> 3(3(1(1(0(1(3(3(0(3(3(0(2(2(3(1(0(0(z0))))))))))))))))))
   3(c_0(c_3(c_2(c_2(c_3(c_2(c_0(c_3(c_0(c_2(c_2(c_1(c_2(c_0(c_2(c_2(c_0(z0)))))))))))))))))) -> 3(2(1(0(0(3(0(2(3(2(2(0(2(2(3(2(2(0(z0))))))))))))))))))
   3(c_3(c_0(c_1(c_0(c_1(c_3(c_3(c_3(c_2(c_2(c_3(c_3(c_0(c_3(c_3(c_0(c_3(z0)))))))))))))))))) -> 3(3(3(0(2(3(1(0(1(3(2(3(3(3(3(0(0(3(z0))))))))))))))))))
   3(c_3(c_3(c_0(c_1(c_3(c_3(c_1(c_2(c_3(c_0(c_2(c_1(c_3(c_2(c_1(c_0(c_0(z0)))))))))))))))))) -> 3(1(1(1(3(0(1(3(0(2(3(2(3(0(3(2(3(0(z0))))))))))))))))))
   3(c_1(c_2(c_0(c_3(c_0(c_1(c_2(c_0(c_3(c_3(c_2(c_3(c_2(c_2(c_1(c_2(c_3(z0)))))))))))))))))) -> 3(1(3(2(1(1(3(2(0(0(0(3(2(2(2(3(2(3(z0))))))))))))))))))
   3(c_3(c_2(c_1(c_1(c_1(c_1(c_3(c_0(c_0(c_3(c_1(c_2(c_0(c_2(c_2(c_3(c_0(z0)))))))))))))))))) -> 3(3(1(1(0(1(0(2(0(1(1(2(3(3(2(2(3(0(z0))))))))))))))))))
   3(c_0(c_1(c_3(c_2(c_3(c_3(c_2(c_0(c_1(c_1(c_2(c_0(c_1(c_3(c_1(c_3(c_2(z0)))))))))))))))))) -> 3(2(3(3(0(3(1(1(0(2(2(3(1(2(1(1(0(3(z0))))))))))))))))))
   3(c_0(c_2(c_1(c_3(c_3(c_0(c_1(c_1(c_3(c_0(c_1(c_2(c_3(c_1(c_2(c_1(c_3(z0)))))))))))))))))) -> 0(1(1(2(3(2(3(1(0(2(1(1(1(0(3(3(3(3(z0))))))))))))))))))
   3(c_3(c_2(c_0(c_3(c_2(c_1(c_2(c_2(c_1(c_2(c_0(c_1(c_2(c_3(c_3(c_2(c_0(z0)))))))))))))))))) -> 2(0(3(3(1(2(1(2(1(0(2(3(3(2(3(2(2(0(z0))))))))))))))))))
   3(c_2(c_1(c_3(c_2(c_2(c_3(c_3(c_3(c_2(c_1(c_2(c_0(c_1(c_0(c_1(c_1(c_2(z0)))))))))))))))))) -> 2(3(1(1(0(2(2(0(3(3(3(1(2(3(1(2(1(2(z0))))))))))))))))))
   3(c_0(c_3(c_0(c_1(c_3(c_0(c_2(c_0(c_1(c_1(c_0(c_1(c_0(c_2(c_3(c_0(c_3(z0)))))))))))))))))) -> 3(0(0(2(1(1(0(1(0(3(2(1(0(0(3(3(0(3(z0))))))))))))))))))
   3(c_2(c_0(c_2(c_2(c_0(c_0(c_2(c_3(c_0(c_2(c_3(c_0(c_1(c_2(c_2(c_0(c_2(z0)))))))))))))))))) -> 2(0(3(2(2(2(0(3(2(0(2(1(3(2(0(0(0(2(z0))))))))))))))))))
   3(c_2(c_3(c_2(c_1(c_3(c_0(c_1(c_2(c_1(c_2(c_2(c_1(c_0(c_1(c_1(c_0(c_0(z0)))))))))))))))))) -> 3(2(2(0(1(1(1(1(1(0(0(0(3(2(2(1(3(2(z0))))))))))))))))))
   3(c_2(c_3(c_1(c_1(c_1(c_3(c_2(c_2(c_1(c_2(c_1(c_0(c_0(c_3(c_1(c_3(c_3(z0)))))))))))))))))) -> 3(2(3(2(0(3(1(1(2(3(2(0(1(3(1(1(1(3(z0))))))))))))))))))
Tuples:
   0'(c_0(c_3(c_3(c_0(c_2(c_3(c_0(c_3(c_0(c_2(c_1(c_0(c_0(c_0(c_3(c_3(c_0(z0)))))))))))))))))) -> c10(0'(0(3(1(0(3(0(0(3(3(0(3(3(0(0(2(0(2(z0)))))))))))))))))), 0'(3(1(0(3(0(0(3(3(0(3(3(0(0(2(0(2(z0))))))))))))))))), 3'(1(0(3(0(0(3(3(0(3(3(0(0(2(0(2(z0)))))))))))))))), 1'(0(3(0(0(3(3(0(3(3(0(0(2(0(2(z0))))))))))))))), 0'(3(0(0(3(3(0(3(3(0(0(2(0(2(z0)))))))))))))), 3'(0(0(3(3(0(3(3(0(0(2(0(2(z0))))))))))))), 0'(0(3(3(0(3(3(0(0(2(0(2(z0)))))))))))), 0'(3(3(0(3(3(0(0(2(0(2(z0))))))))))), 3'(3(0(3(3(0(0(2(0(2(z0)))))))))), 3'(0(3(3(0(0(2(0(2(z0))))))))), 0'(3(3(0(0(2(0(2(z0)))))))), 3'(3(0(0(2(0(2(z0))))))), 3'(0(0(2(0(2(z0)))))), 0'(0(2(0(2(z0))))), 0'(2(0(2(z0)))), 2'(0(2(z0))), 0'(2(z0)), 2'(z0))
   0'(c_0(c_1(c_1(c_2(c_1(c_3(c_1(c_3(c_1(c_1(c_1(c_2(c_2(c_1(c_0(c_2(c_2(z0)))))))))))))))))) -> c11(2'(1(1(1(1(0(3(1(1(1(2(0(3(1(0(2(2(2(z0)))))))))))))))))), 1'(1(1(1(0(3(1(1(1(2(0(3(1(0(2(2(2(z0))))))))))))))))), 1'(1(1(0(3(1(1(1(2(0(3(1(0(2(2(2(z0)))))))))))))))), 1'(1(0(3(1(1(1(2(0(3(1(0(2(2(2(z0))))))))))))))), 1'(0(3(1(1(1(2(0(3(1(0(2(2(2(z0)))))))))))))), 0'(3(1(1(1(2(0(3(1(0(2(2(2(z0))))))))))))), 3'(1(1(1(2(0(3(1(0(2(2(2(z0)))))))))))), 1'(1(1(2(0(3(1(0(2(2(2(z0))))))))))), 1'(1(2(0(3(1(0(2(2(2(z0)))))))))), 1'(2(0(3(1(0(2(2(2(z0))))))))), 2'(0(3(1(0(2(2(2(z0)))))))), 0'(3(1(0(2(2(2(z0))))))), 3'(1(0(2(2(2(z0)))))), 1'(0(2(2(2(z0))))), 0'(2(2(2(z0)))), 2'(2(2(z0))), 2'(2(z0)), 2'(z0))
   0'(c_3(c_3(c_0(c_0(c_0(c_1(c_3(c_2(c_2(c_3(c_2(c_1(c_3(c_0(c_0(c_2(c_1(z0)))))))))))))))))) -> c12(0'(2(2(0(0(3(0(2(3(1(0(3(1(0(3(2(3(1(z0)))))))))))))))))), 2'(2(0(0(3(0(2(3(1(0(3(1(0(3(2(3(1(z0))))))))))))))))), 2'(0(0(3(0(2(3(1(0(3(1(0(3(2(3(1(z0)))))))))))))))), 0'(0(3(0(2(3(1(0(3(1(0(3(2(3(1(z0))))))))))))))), 0'(3(0(2(3(1(0(3(1(0(3(2(3(1(z0)))))))))))))), 3'(0(2(3(1(0(3(1(0(3(2(3(1(z0))))))))))))), 0'(2(3(1(0(3(1(0(3(2(3(1(z0)))))))))))), 2'(3(1(0(3(1(0(3(2(3(1(z0))))))))))), 3'(1(0(3(1(0(3(2(3(1(z0)))))))))), 1'(0(3(1(0(3(2(3(1(z0))))))))), 0'(3(1(0(3(2(3(1(z0)))))))), 3'(1(0(3(2(3(1(z0))))))), 1'(0(3(2(3(1(z0)))))), 0'(3(2(3(1(z0))))), 3'(2(3(1(z0)))), 2'(3(1(z0))), 3'(1(z0)), 1'(z0))
   0'(c_0(c_0(c_0(c_1(c_1(c_3(c_2(c_3(c_3(c_0(c_1(c_1(c_2(c_0(c_1(c_3(c_1(z0)))))))))))))))))) -> c13(0'(0(0(1(1(1(0(1(3(3(1(0(3(2(0(2(3(1(z0)))))))))))))))))), 0'(0(1(1(1(0(1(3(3(1(0(3(2(0(2(3(1(z0))))))))))))))))), 0'(1(1(1(0(1(3(3(1(0(3(2(0(2(3(1(z0)))))))))))))))), 1'(1(1(0(1(3(3(1(0(3(2(0(2(3(1(z0))))))))))))))), 1'(1(0(1(3(3(1(0(3(2(0(2(3(1(z0)))))))))))))), 1'(0(1(3(3(1(0(3(2(0(2(3(1(z0))))))))))))), 0'(1(3(3(1(0(3(2(0(2(3(1(z0)))))))))))), 1'(3(3(1(0(3(2(0(2(3(1(z0))))))))))), 3'(3(1(0(3(2(0(2(3(1(z0)))))))))), 3'(1(0(3(2(0(2(3(1(z0))))))))), 1'(0(3(2(0(2(3(1(z0)))))))), 0'(3(2(0(2(3(1(z0))))))), 3'(2(0(2(3(1(z0)))))), 2'(0(2(3(1(z0))))), 0'(2(3(1(z0)))), 2'(3(1(z0))), 3'(1(z0)), 1'(z0))
   0'(c_2(c_1(c_2(c_1(c_1(c_2(c_3(c_2(c_1(c_0(c_0(c_1(c_0(c_0(c_3(c_0(c_3(z0)))))))))))))))))) -> c14(0'(3(2(0(0(1(2(1(0(2(1(1(3(1(0(0(2(3(z0)))))))))))))))))), 3'(2(0(0(1(2(1(0(2(1(1(3(1(0(0(2(3(z0))))))))))))))))), 2'(0(0(1(2(1(0(2(1(1(3(1(0(0(2(3(z0)))))))))))))))), 0'(0(1(2(1(0(2(1(1(3(1(0(0(2(3(z0))))))))))))))), 0'(1(2(1(0(2(1(1(3(1(0(0(2(3(z0)))))))))))))), 1'(2(1(0(2(1(1(3(1(0(0(2(3(z0))))))))))))), 2'(1(0(2(1(1(3(1(0(0(2(3(z0)))))))))))), 1'(0(2(1(1(3(1(0(0(2(3(z0))))))))))), 0'(2(1(1(3(1(0(0(2(3(z0)))))))))), 2'(1(1(3(1(0(0(2(3(z0))))))))), 1'(1(3(1(0(0(2(3(z0)))))))), 1'(3(1(0(0(2(3(z0))))))), 3'(1(0(0(2(3(z0)))))), 1'(0(0(2(3(z0))))), 0'(0(2(3(z0)))), 0'(2(3(z0))), 2'(3(z0)), 3'(z0))
   0'(c_0(c_0(c_2(c_3(c_0(c_0(c_0(c_0(c_0(c_0(c_1(c_1(c_0(c_3(c_0(c_0(c_0(z0)))))))))))))))))) -> c15(0'(0(3(1(0(0(0(0(2(0(0(0(3(1(0(0(0(0(z0)))))))))))))))))), 0'(3(1(0(0(0(0(2(0(0(0(3(1(0(0(0(0(z0))))))))))))))))), 3'(1(0(0(0(0(2(0(0(0(3(1(0(0(0(0(z0)))))))))))))))), 1'(0(0(0(0(2(0(0(0(3(1(0(0(0(0(z0))))))))))))))), 0'(0(0(0(2(0(0(0(3(1(0(0(0(0(z0)))))))))))))), 0'(0(0(2(0(0(0(3(1(0(0(0(0(z0))))))))))))), 0'(0(2(0(0(0(3(1(0(0(0(0(z0)))))))))))), 0'(2(0(0(0(3(1(0(0(0(0(z0))))))))))), 2'(0(0(0(3(1(0(0(0(0(z0)))))))))), 0'(0(0(3(1(0(0(0(0(z0))))))))), 0'(0(3(1(0(0(0(0(z0)))))))), 0'(3(1(0(0(0(0(z0))))))), 3'(1(0(0(0(0(z0)))))), 1'(0(0(0(0(z0))))), 0'(0(0(0(z0)))), 0'(0(0(z0))), 0'(0(z0)), 0'(z0))
   0'(c_3(c_2(c_0(c_3(c_0(c_0(c_1(c_2(c_1(c_2(c_0(c_1(c_2(c_1(c_3(c_0(c_0(z0)))))))))))))))))) -> c16(0'(2(2(0(3(3(1(0(0(3(0(2(1(1(0(1(2(0(z0)))))))))))))))))), 2'(2(0(3(3(1(0(0(3(0(2(1(1(0(1(2(0(z0))))))))))))))))), 2'(0(3(3(1(0(0(3(0(2(1(1(0(1(2(0(z0)))))))))))))))), 0'(3(3(1(0(0(3(0(2(1(1(0(1(2(0(z0))))))))))))))), 3'(3(1(0(0(3(0(2(1(1(0(1(2(0(z0)))))))))))))), 3'(1(0(0(3(0(2(1(1(0(1(2(0(z0))))))))))))), 1'(0(0(3(0(2(1(1(0(1(2(0(z0)))))))))))), 0'(0(3(0(2(1(1(0(1(2(0(z0))))))))))), 0'(3(0(2(1(1(0(1(2(0(z0)))))))))), 3'(0(2(1(1(0(1(2(0(z0))))))))), 0'(2(1(1(0(1(2(0(z0)))))))), 2'(1(1(0(1(2(0(z0))))))), 1'(1(0(1(2(0(z0)))))), 1'(0(1(2(0(z0))))), 0'(1(2(0(z0)))), 1'(2(0(z0))), 2'(0(z0)), 0'(z0))
   0'(c_2(c_0(c_2(c_1(c_1(c_2(c_1(c_2(c_0(c_0(c_3(c_2(c_2(c_3(c_0(c_0(c_3(z0)))))))))))))))))) -> c17(0'(3(2(2(0(2(2(2(2(0(3(0(1(0(1(1(0(3(z0)))))))))))))))))), 3'(2(2(0(2(2(2(2(0(3(0(1(0(1(1(0(3(z0))))))))))))))))), 2'(2(0(2(2(2(2(0(3(0(1(0(1(1(0(3(z0)))))))))))))))), 2'(0(2(2(2(2(0(3(0(1(0(1(1(0(3(z0))))))))))))))), 0'(2(2(2(2(0(3(0(1(0(1(1(0(3(z0)))))))))))))), 2'(2(2(2(0(3(0(1(0(1(1(0(3(z0))))))))))))), 2'(2(2(0(3(0(1(0(1(1(0(3(z0)))))))))))), 2'(2(0(3(0(1(0(1(1(0(3(z0))))))))))), 2'(0(3(0(1(0(1(1(0(3(z0)))))))))), 0'(3(0(1(0(1(1(0(3(z0))))))))), 3'(0(1(0(1(1(0(3(z0)))))))), 0'(1(0(1(1(0(3(z0))))))), 1'(0(1(1(0(3(z0)))))), 0'(1(1(0(3(z0))))), 1'(1(0(3(z0)))), 1'(0(3(z0))), 0'(3(z0)), 3'(z0))
   0'(c_2(c_3(c_1(c_2(c_3(c_2(c_1(c_0(c_1(c_0(c_0(c_3(c_1(c_3(c_1(c_2(c_3(z0)))))))))))))))))) -> c18(0'(2(3(3(1(2(1(1(1(0(2(3(1(0(2(0(3(3(z0)))))))))))))))))), 2'(3(3(1(2(1(1(1(0(2(3(1(0(2(0(3(3(z0))))))))))))))))), 3'(3(1(2(1(1(1(0(2(3(1(0(2(0(3(3(z0)))))))))))))))), 3'(1(2(1(1(1(0(2(3(1(0(2(0(3(3(z0))))))))))))))), 1'(2(1(1(1(0(2(3(1(0(2(0(3(3(z0)))))))))))))), 2'(1(1(1(0(2(3(1(0(2(0(3(3(z0))))))))))))), 1'(1(1(0(2(3(1(0(2(0(3(3(z0)))))))))))), 1'(1(0(2(3(1(0(2(0(3(3(z0))))))))))), 1'(0(2(3(1(0(2(0(3(3(z0)))))))))), 0'(2(3(1(0(2(0(3(3(z0))))))))), 2'(3(1(0(2(0(3(3(z0)))))))), 3'(1(0(2(0(3(3(z0))))))), 1'(0(2(0(3(3(z0)))))), 0'(2(0(3(3(z0))))), 2'(0(3(3(z0)))), 0'(3(3(z0))), 3'(3(z0)), 3'(z0))
   0'(c_2(c_0(c_1(c_3(c_0(c_0(c_1(c_3(c_0(c_2(c_0(c_1(c_3(c_1(c_1(c_3(c_1(z0)))))))))))))))))) -> c19(0'(2(0(1(3(1(1(2(1(0(0(3(3(0(0(1(3(1(z0)))))))))))))))))), 2'(0(1(3(1(1(2(1(0(0(3(3(0(0(1(3(1(z0))))))))))))))))), 0'(1(3(1(1(2(1(0(0(3(3(0(0(1(3(1(z0)))))))))))))))), 1'(3(1(1(2(1(0(0(3(3(0(0(1(3(1(z0))))))))))))))), 3'(1(1(2(1(0(0(3(3(0(0(1(3(1(z0)))))))))))))), 1'(1(2(1(0(0(3(3(0(0(1(3(1(z0))))))))))))), 1'(2(1(0(0(3(3(0(0(1(3(1(z0)))))))))))), 2'(1(0(0(3(3(0(0(1(3(1(z0))))))))))), 1'(0(0(3(3(0(0(1(3(1(z0)))))))))), 0'(0(3(3(0(0(1(3(1(z0))))))))), 0'(3(3(0(0(1(3(1(z0)))))))), 3'(3(0(0(1(3(1(z0))))))), 3'(0(0(1(3(1(z0)))))), 0'(0(1(3(1(z0))))), 0'(1(3(1(z0)))), 1'(3(1(z0))), 3'(1(z0)), 1'(z0))
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   1'(c_3(c_3(c_3(c_1(c_2(c_0(c_1(c_2(c_0(c_0(c_2(c_1(c_3(c_3(c_3(c_0(c_2(z0)))))))))))))))))) -> c28(1'(3(1(1(0(3(3(0(2(0(1(3(0(3(2(3(2(2(z0)))))))))))))))))), 3'(1(1(0(3(3(0(2(0(1(3(0(3(2(3(2(2(z0))))))))))))))))), 1'(1(0(3(3(0(2(0(1(3(0(3(2(3(2(2(z0)))))))))))))))), 1'(0(3(3(0(2(0(1(3(0(3(2(3(2(2(z0))))))))))))))), 0'(3(3(0(2(0(1(3(0(3(2(3(2(2(z0)))))))))))))), 3'(3(0(2(0(1(3(0(3(2(3(2(2(z0))))))))))))), 3'(0(2(0(1(3(0(3(2(3(2(2(z0)))))))))))), 0'(2(0(1(3(0(3(2(3(2(2(z0))))))))))), 2'(0(1(3(0(3(2(3(2(2(z0)))))))))), 0'(1(3(0(3(2(3(2(2(z0))))))))), 1'(3(0(3(2(3(2(2(z0)))))))), 3'(0(3(2(3(2(2(z0))))))), 0'(3(2(3(2(2(z0)))))), 3'(2(3(2(2(z0))))), 2'(3(2(2(z0)))), 3'(2(2(z0))), 2'(2(z0)), 2'(z0))
   1'(c_1(c_2(c_1(c_0(c_0(c_3(c_0(c_3(c_1(c_3(c_0(c_1(c_3(c_1(c_3(c_3(c_3(z0)))))))))))))))))) -> c29(3'(0(1(1(1(1(3(0(3(1(1(0(3(0(2(3(3(3(z0)))))))))))))))))), 0'(1(1(1(1(3(0(3(1(1(0(3(0(2(3(3(3(z0))))))))))))))))), 1'(1(1(1(3(0(3(1(1(0(3(0(2(3(3(3(z0)))))))))))))))), 1'(1(1(3(0(3(1(1(0(3(0(2(3(3(3(z0))))))))))))))), 1'(1(3(0(3(1(1(0(3(0(2(3(3(3(z0)))))))))))))), 1'(3(0(3(1(1(0(3(0(2(3(3(3(z0))))))))))))), 3'(0(3(1(1(0(3(0(2(3(3(3(z0)))))))))))), 0'(3(1(1(0(3(0(2(3(3(3(z0))))))))))), 3'(1(1(0(3(0(2(3(3(3(z0)))))))))), 1'(1(0(3(0(2(3(3(3(z0))))))))), 1'(0(3(0(2(3(3(3(z0)))))))), 0'(3(0(2(3(3(3(z0))))))), 3'(0(2(3(3(3(z0)))))), 0'(2(3(3(3(z0))))), 2'(3(3(3(z0)))), 3'(3(3(z0))), 3'(3(z0)), 3'(z0))
   1'(c_3(c_0(c_1(c_3(c_1(c_2(c_1(c_2(c_1(c_2(c_2(c_2(c_1(c_3(c_0(c_1(c_3(z0)))))))))))))))))) -> c30(2'(3(2(1(1(2(2(1(3(1(0(2(1(1(1(0(3(3(z0)))))))))))))))))), 3'(2(1(1(2(2(1(3(1(0(2(1(1(1(0(3(3(z0))))))))))))))))), 2'(1(1(2(2(1(3(1(0(2(1(1(1(0(3(3(z0)))))))))))))))), 1'(1(2(2(1(3(1(0(2(1(1(1(0(3(3(z0))))))))))))))), 1'(2(2(1(3(1(0(2(1(1(1(0(3(3(z0)))))))))))))), 2'(2(1(3(1(0(2(1(1(1(0(3(3(z0))))))))))))), 2'(1(3(1(0(2(1(1(1(0(3(3(z0)))))))))))), 1'(3(1(0(2(1(1(1(0(3(3(z0))))))))))), 3'(1(0(2(1(1(1(0(3(3(z0)))))))))), 1'(0(2(1(1(1(0(3(3(z0))))))))), 0'(2(1(1(1(0(3(3(z0)))))))), 2'(1(1(1(0(3(3(z0))))))), 1'(1(1(0(3(3(z0)))))), 1'(1(0(3(3(z0))))), 1'(0(3(3(z0)))), 0'(3(3(z0))), 3'(3(z0)), 3'(z0))
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   1'(c_3(c_3(c_1(c_3(c_2(c_2(c_2(c_2(c_2(c_0(c_1(c_2(c_2(c_0(c_3(c_0(c_3(z0)))))))))))))))))) -> c33(1'(3(2(0(1(0(2(2(2(2(2(1(0(3(3(3(2(3(z0)))))))))))))))))), 3'(2(0(1(0(2(2(2(2(2(1(0(3(3(3(2(3(z0))))))))))))))))), 2'(0(1(0(2(2(2(2(2(1(0(3(3(3(2(3(z0)))))))))))))))), 0'(1(0(2(2(2(2(2(1(0(3(3(3(2(3(z0))))))))))))))), 1'(0(2(2(2(2(2(1(0(3(3(3(2(3(z0)))))))))))))), 0'(2(2(2(2(2(1(0(3(3(3(2(3(z0))))))))))))), 2'(2(2(2(2(1(0(3(3(3(2(3(z0)))))))))))), 2'(2(2(2(1(0(3(3(3(2(3(z0))))))))))), 2'(2(2(1(0(3(3(3(2(3(z0)))))))))), 2'(2(1(0(3(3(3(2(3(z0))))))))), 2'(1(0(3(3(3(2(3(z0)))))))), 1'(0(3(3(3(2(3(z0))))))), 0'(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))
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   3'(c_2(c_3(c_2(c_1(c_3(c_0(c_1(c_2(c_1(c_2(c_2(c_1(c_0(c_1(c_1(c_0(c_0(z0)))))))))))))))))) -> c90(3'(2(2(0(1(1(1(1(1(0(0(0(3(2(2(1(3(2(z0)))))))))))))))))), 2'(2(0(1(1(1(1(1(0(0(0(3(2(2(1(3(2(z0))))))))))))))))), 2'(0(1(1(1(1(1(0(0(0(3(2(2(1(3(2(z0)))))))))))))))), 0'(1(1(1(1(1(0(0(0(3(2(2(1(3(2(z0))))))))))))))), 1'(1(1(1(1(0(0(0(3(2(2(1(3(2(z0)))))))))))))), 1'(1(1(1(0(0(0(3(2(2(1(3(2(z0))))))))))))), 1'(1(1(0(0(0(3(2(2(1(3(2(z0)))))))))))), 1'(1(0(0(0(3(2(2(1(3(2(z0))))))))))), 1'(0(0(0(3(2(2(1(3(2(z0)))))))))), 0'(0(0(3(2(2(1(3(2(z0))))))))), 0'(0(3(2(2(1(3(2(z0)))))))), 0'(3(2(2(1(3(2(z0))))))), 3'(2(2(1(3(2(z0)))))), 2'(2(1(3(2(z0))))), 2'(1(3(2(z0)))), 1'(3(2(z0))), 3'(2(z0)), 2'(z0))
   3'(c_2(c_3(c_1(c_1(c_1(c_3(c_2(c_2(c_1(c_2(c_1(c_0(c_0(c_3(c_1(c_3(c_3(z0)))))))))))))))))) -> c91(3'(2(3(2(0(3(1(1(2(3(2(0(1(3(1(1(1(3(z0)))))))))))))))))), 2'(3(2(0(3(1(1(2(3(2(0(1(3(1(1(1(3(z0))))))))))))))))), 3'(2(0(3(1(1(2(3(2(0(1(3(1(1(1(3(z0)))))))))))))))), 2'(0(3(1(1(2(3(2(0(1(3(1(1(1(3(z0))))))))))))))), 0'(3(1(1(2(3(2(0(1(3(1(1(1(3(z0)))))))))))))), 3'(1(1(2(3(2(0(1(3(1(1(1(3(z0))))))))))))), 1'(1(2(3(2(0(1(3(1(1(1(3(z0)))))))))))), 1'(2(3(2(0(1(3(1(1(1(3(z0))))))))))), 2'(3(2(0(1(3(1(1(1(3(z0)))))))))), 3'(2(0(1(3(1(1(1(3(z0))))))))), 2'(0(1(3(1(1(1(3(z0)))))))), 0'(1(3(1(1(1(3(z0))))))), 1'(3(1(1(1(3(z0)))))), 3'(1(1(1(3(z0))))), 1'(1(1(3(z0)))), 1'(1(3(z0))), 1'(3(z0)), 3'(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_3(c_0(c_0(c_2(c_1(c_0(c_0(c_2(c_1(c_2(c_2(c_3(c_2(c_0(c_0(c_2(c_0(x0)))))))))))))))))) -> c9(0'(c_2(0(0(0(2(0(3(0(2(2(0(1(1(3(2(2(0(x0)))))))))))))))))), 2'(0(0(0(2(0(3(0(2(2(0(1(1(3(2(2(0(x0))))))))))))))))), 0'(0(0(2(0(3(0(2(2(0(1(1(3(2(2(0(x0)))))))))))))))), 0'(0(2(0(3(0(2(2(0(1(1(3(2(2(0(x0))))))))))))))), 0'(2(0(3(0(2(2(0(1(1(3(2(2(0(x0)))))))))))))), 2'(0(3(0(2(2(0(1(1(3(2(2(0(x0))))))))))))), 0'(3(0(2(2(0(1(1(3(2(2(0(x0)))))))))))), 3'(0(2(2(0(1(1(3(2(2(0(x0))))))))))), 0'(2(2(0(1(1(3(2(2(0(x0)))))))))), 2'(2(0(1(1(3(2(2(0(x0))))))))), 2'(0(1(1(3(2(2(0(x0)))))))), 0'(1(1(3(2(2(0(x0))))))), 1'(1(3(2(2(0(x0)))))), 1'(3(2(2(0(x0))))), 3'(2(2(0(x0)))), 2'(2(0(x0))), 2'(0(x0)), 0'(x0))
   0'(c_3(c_0(c_0(c_2(c_1(c_0(c_0(c_2(c_1(c_2(c_2(c_3(c_2(c_0(c_0(c_2(c_0(x0)))))))))))))))))) -> c9(0'(2(c_0(0(0(2(0(3(0(2(2(0(1(1(3(2(2(0(x0)))))))))))))))))), 2'(0(0(0(2(0(3(0(2(2(0(1(1(3(2(2(0(x0))))))))))))))))), 0'(0(0(2(0(3(0(2(2(0(1(1(3(2(2(0(x0)))))))))))))))), 0'(0(2(0(3(0(2(2(0(1(1(3(2(2(0(x0))))))))))))))), 0'(2(0(3(0(2(2(0(1(1(3(2(2(0(x0)))))))))))))), 2'(0(3(0(2(2(0(1(1(3(2(2(0(x0))))))))))))), 0'(3(0(2(2(0(1(1(3(2(2(0(x0)))))))))))), 3'(0(2(2(0(1(1(3(2(2(0(x0))))))))))), 0'(2(2(0(1(1(3(2(2(0(x0)))))))))), 2'(2(0(1(1(3(2(2(0(x0))))))))), 2'(0(1(1(3(2(2(0(x0)))))))), 0'(1(1(3(2(2(0(x0))))))), 1'(1(3(2(2(0(x0)))))), 1'(3(2(2(0(x0))))), 3'(2(2(0(x0)))), 2'(2(0(x0))), 2'(0(x0)), 0'(x0))
   0'(c_3(c_0(c_0(c_2(c_1(c_0(c_0(c_2(c_1(c_2(c_2(c_3(c_2(c_0(c_0(c_2(c_0(x0)))))))))))))))))) -> c9(0'(2(0(c_0(0(2(0(3(0(2(2(0(1(1(3(2(2(0(x0)))))))))))))))))), 2'(0(0(0(2(0(3(0(2(2(0(1(1(3(2(2(0(x0))))))))))))))))), 0'(0(0(2(0(3(0(2(2(0(1(1(3(2(2(0(x0)))))))))))))))), 0'(0(2(0(3(0(2(2(0(1(1(3(2(2(0(x0))))))))))))))), 0'(2(0(3(0(2(2(0(1(1(3(2(2(0(x0)))))))))))))), 2'(0(3(0(2(2(0(1(1(3(2(2(0(x0))))))))))))), 0'(3(0(2(2(0(1(1(3(2(2(0(x0)))))))))))), 3'(0(2(2(0(1(1(3(2(2(0(x0))))))))))), 0'(2(2(0(1(1(3(2(2(0(x0)))))))))), 2'(2(0(1(1(3(2(2(0(x0))))))))), 2'(0(1(1(3(2(2(0(x0)))))))), 0'(1(1(3(2(2(0(x0))))))), 1'(1(3(2(2(0(x0)))))), 1'(3(2(2(0(x0))))), 3'(2(2(0(x0)))), 2'(2(0(x0))), 2'(0(x0)), 0'(x0))
   0'(c_3(c_0(c_0(c_2(c_1(c_0(c_0(c_2(c_1(c_2(c_2(c_3(c_2(c_0(c_0(c_2(c_0(x0)))))))))))))))))) -> c9(0'(2(0(0(c_0(2(0(3(0(2(2(0(1(1(3(2(2(0(x0)))))))))))))))))), 2'(0(0(0(2(0(3(0(2(2(0(1(1(3(2(2(0(x0))))))))))))))))), 0'(0(0(2(0(3(0(2(2(0(1(1(3(2(2(0(x0)))))))))))))))), 0'(0(2(0(3(0(2(2(0(1(1(3(2(2(0(x0))))))))))))))), 0'(2(0(3(0(2(2(0(1(1(3(2(2(0(x0)))))))))))))), 2'(0(3(0(2(2(0(1(1(3(2(2(0(x0))))))))))))), 0'(3(0(2(2(0(1(1(3(2(2(0(x0)))))))))))), 3'(0(2(2(0(1(1(3(2(2(0(x0))))))))))), 0'(2(2(0(1(1(3(2(2(0(x0)))))))))), 2'(2(0(1(1(3(2(2(0(x0))))))))), 2'(0(1(1(3(2(2(0(x0)))))))), 0'(1(1(3(2(2(0(x0))))))), 1'(1(3(2(2(0(x0)))))), 1'(3(2(2(0(x0))))), 3'(2(2(0(x0)))), 2'(2(0(x0))), 2'(0(x0)), 0'(x0))
   0'(c_3(c_0(c_0(c_2(c_1(c_0(c_0(c_2(c_1(c_2(c_2(c_3(c_2(c_0(c_0(c_2(c_0(x0)))))))))))))))))) -> c9(0'(2(0(0(0(c_2(0(3(0(2(2(0(1(1(3(2(2(0(x0)))))))))))))))))), 2'(0(0(0(2(0(3(0(2(2(0(1(1(3(2(2(0(x0))))))))))))))))), 0'(0(0(2(0(3(0(2(2(0(1(1(3(2(2(0(x0)))))))))))))))), 0'(0(2(0(3(0(2(2(0(1(1(3(2(2(0(x0))))))))))))))), 0'(2(0(3(0(2(2(0(1(1(3(2(2(0(x0)))))))))))))), 2'(0(3(0(2(2(0(1(1(3(2(2(0(x0))))))))))))), 0'(3(0(2(2(0(1(1(3(2(2(0(x0)))))))))))), 3'(0(2(2(0(1(1(3(2(2(0(x0))))))))))), 0'(2(2(0(1(1(3(2(2(0(x0)))))))))), 2'(2(0(1(1(3(2(2(0(x0))))))))), 2'(0(1(1(3(2(2(0(x0)))))))), 0'(1(1(3(2(2(0(x0))))))), 1'(1(3(2(2(0(x0)))))), 1'(3(2(2(0(x0))))), 3'(2(2(0(x0)))), 2'(2(0(x0))), 2'(0(x0)), 0'(x0))
   0'(c_3(c_0(c_0(c_2(c_1(c_0(c_0(c_2(c_1(c_2(c_2(c_3(c_2(c_0(c_0(c_2(c_0(x0)))))))))))))))))) -> c9(0'(2(0(0(0(2(c_0(3(0(2(2(0(1(1(3(2(2(0(x0)))))))))))))))))), 2'(0(0(0(2(0(3(0(2(2(0(1(1(3(2(2(0(x0))))))))))))))))), 0'(0(0(2(0(3(0(2(2(0(1(1(3(2(2(0(x0)))))))))))))))), 0'(0(2(0(3(0(2(2(0(1(1(3(2(2(0(x0))))))))))))))), 0'(2(0(3(0(2(2(0(1(1(3(2(2(0(x0)))))))))))))), 2'(0(3(0(2(2(0(1(1(3(2(2(0(x0))))))))))))), 0'(3(0(2(2(0(1(1(3(2(2(0(x0)))))))))))), 3'(0(2(2(0(1(1(3(2(2(0(x0))))))))))), 0'(2(2(0(1(1(3(2(2(0(x0)))))))))), 2'(2(0(1(1(3(2(2(0(x0))))))))), 2'(0(1(1(3(2(2(0(x0)))))))), 0'(1(1(3(2(2(0(x0))))))), 1'(1(3(2(2(0(x0)))))), 1'(3(2(2(0(x0))))), 3'(2(2(0(x0)))), 2'(2(0(x0))), 2'(0(x0)), 0'(x0))
   0'(c_3(c_0(c_0(c_2(c_1(c_0(c_0(c_2(c_1(c_2(c_2(c_3(c_2(c_0(c_0(c_2(c_0(x0)))))))))))))))))) -> c9(0'(2(0(0(0(2(0(c_3(0(2(2(0(1(1(3(2(2(0(x0)))))))))))))))))), 2'(0(0(0(2(0(3(0(2(2(0(1(1(3(2(2(0(x0))))))))))))))))), 0'(0(0(2(0(3(0(2(2(0(1(1(3(2(2(0(x0)))))))))))))))), 0'(0(2(0(3(0(2(2(0(1(1(3(2(2(0(x0))))))))))))))), 0'(2(0(3(0(2(2(0(1(1(3(2(2(0(x0)))))))))))))), 2'(0(3(0(2(2(0(1(1(3(2(2(0(x0))))))))))))), 0'(3(0(2(2(0(1(1(3(2(2(0(x0)))))))))))), 3'(0(2(2(0(1(1(3(2(2(0(x0))))))))))), 0'(2(2(0(1(1(3(2(2(0(x0)))))))))), 2'(2(0(1(1(3(2(2(0(x0))))))))), 2'(0(1(1(3(2(2(0(x0)))))))), 0'(1(1(3(2(2(0(x0))))))), 1'(1(3(2(2(0(x0)))))), 1'(3(2(2(0(x0))))), 3'(2(2(0(x0)))), 2'(2(0(x0))), 2'(0(x0)), 0'(x0))
   0'(c_3(c_0(c_0(c_2(c_1(c_0(c_0(c_2(c_1(c_2(c_2(c_3(c_2(c_0(c_0(c_2(c_0(x0)))))))))))))))))) -> c9(0'(2(0(0(0(2(0(3(c_0(2(2(0(1(1(3(2(2(0(x0)))))))))))))))))), 2'(0(0(0(2(0(3(0(2(2(0(1(1(3(2(2(0(x0))))))))))))))))), 0'(0(0(2(0(3(0(2(2(0(1(1(3(2(2(0(x0)))))))))))))))), 0'(0(2(0(3(0(2(2(0(1(1(3(2(2(0(x0))))))))))))))), 0'(2(0(3(0(2(2(0(1(1(3(2(2(0(x0)))))))))))))), 2'(0(3(0(2(2(0(1(1(3(2(2(0(x0))))))))))))), 0'(3(0(2(2(0(1(1(3(2(2(0(x0)))))))))))), 3'(0(2(2(0(1(1(3(2(2(0(x0))))))))))), 0'(2(2(0(1(1(3(2(2(0(x0)))))))))), 2'(2(0(1(1(3(2(2(0(x0))))))))), 2'(0(1(1(3(2(2(0(x0)))))))), 0'(1(1(3(2(2(0(x0))))))), 1'(1(3(2(2(0(x0)))))), 1'(3(2(2(0(x0))))), 3'(2(2(0(x0)))), 2'(2(0(x0))), 2'(0(x0)), 0'(x0))
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   0'(c_3(c_0(c_0(c_2(c_1(c_0(c_0(c_2(c_1(c_2(c_2(c_3(c_2(c_0(c_0(c_2(c_0(c_2(c_0(c_1(c_3(c_0(c_0(c_1(c_3(c_0(c_2(c_0(c_1(c_3(c_1(c_1(c_3(c_1(z0))))))))))))))))))))))))))))))))))) -> c9(0'(2(0(0(0(2(0(3(0(2(2(0(1(1(3(2(2(0(2(0(1(3(1(1(2(1(0(0(3(3(0(0(1(3(1(z0))))))))))))))))))))))))))))))))))), 2'(0(0(0(2(0(3(0(2(2(0(1(1(3(2(2(0(c_2(c_0(c_1(c_3(c_0(c_0(c_1(c_3(c_0(c_2(c_0(c_1(c_3(c_1(c_1(c_3(c_1(z0)))))))))))))))))))))))))))))))))), 0'(0(0(2(0(3(0(2(2(0(1(1(3(2(2(0(c_2(c_0(c_1(c_3(c_0(c_0(c_1(c_3(c_0(c_2(c_0(c_1(c_3(c_1(c_1(c_3(c_1(z0))))))))))))))))))))))))))))))))), 0'(0(2(0(3(0(2(2(0(1(1(3(2(2(0(c_2(c_0(c_1(c_3(c_0(c_0(c_1(c_3(c_0(c_2(c_0(c_1(c_3(c_1(c_1(c_3(c_1(z0)))))))))))))))))))))))))))))))), 0'(2(0(3(0(2(2(0(1(1(3(2(2(0(c_2(c_0(c_1(c_3(c_0(c_0(c_1(c_3(c_0(c_2(c_0(c_1(c_3(c_1(c_1(c_3(c_1(z0))))))))))))))))))))))))))))))), 2'(0(3(0(2(2(0(1(1(3(2(2(0(c_2(c_0(c_1(c_3(c_0(c_0(c_1(c_3(c_0(c_2(c_0(c_1(c_3(c_1(c_1(c_3(c_1(z0)))))))))))))))))))))))))))))), 0'(3(0(2(2(0(1(1(3(2(2(0(c_2(c_0(c_1(c_3(c_0(c_0(c_1(c_3(c_0(c_2(c_0(c_1(c_3(c_1(c_1(c_3(c_1(z0))))))))))))))))))))))))))))), 3'(0(2(2(0(1(1(3(2(2(0(c_2(c_0(c_1(c_3(c_0(c_0(c_1(c_3(c_0(c_2(c_0(c_1(c_3(c_1(c_1(c_3(c_1(z0)))))))))))))))))))))))))))), 0'(2(2(0(1(1(3(2(2(0(c_2(c_0(c_1(c_3(c_0(c_0(c_1(c_3(c_0(c_2(c_0(c_1(c_3(c_1(c_1(c_3(c_1(z0))))))))))))))))))))))))))), 2'(2(0(1(1(3(2(2(0(c_2(c_0(c_1(c_3(c_0(c_0(c_1(c_3(c_0(c_2(c_0(c_1(c_3(c_1(c_1(c_3(c_1(z0)))))))))))))))))))))))))), 2'(0(1(1(3(2(2(0(c_2(c_0(c_1(c_3(c_0(c_0(c_1(c_3(c_0(c_2(c_0(c_1(c_3(c_1(c_1(c_3(c_1(z0))))))))))))))))))))))))), 0'(1(1(3(2(2(0(c_2(c_0(c_1(c_3(c_0(c_0(c_1(c_3(c_0(c_2(c_0(c_1(c_3(c_1(c_1(c_3(c_1(z0)))))))))))))))))))))))), 1'(1(3(2(2(0(c_2(c_0(c_1(c_3(c_0(c_0(c_1(c_3(c_0(c_2(c_0(c_1(c_3(c_1(c_1(c_3(c_1(z0))))))))))))))))))))))), 1'(3(2(2(0(c_2(c_0(c_1(c_3(c_0(c_0(c_1(c_3(c_0(c_2(c_0(c_1(c_3(c_1(c_1(c_3(c_1(z0)))))))))))))))))))))), 3'(2(2(0(c_2(c_0(c_1(c_3(c_0(c_0(c_1(c_3(c_0(c_2(c_0(c_1(c_3(c_1(c_1(c_3(c_1(z0))))))))))))))))))))), 2'(2(0(c_2(c_0(c_1(c_3(c_0(c_0(c_1(c_3(c_0(c_2(c_0(c_1(c_3(c_1(c_1(c_3(c_1(z0)))))))))))))))))))), 2'(0(c_2(c_0(c_1(c_3(c_0(c_0(c_1(c_3(c_0(c_2(c_0(c_1(c_3(c_1(c_1(c_3(c_1(z0))))))))))))))))))), 0'(c_2(c_0(c_1(c_3(c_0(c_0(c_1(c_3(c_0(c_2(c_0(c_1(c_3(c_1(c_1(c_3(c_1(z0)))))))))))))))))))
S tuples:
   0'(c_0(c_3(c_3(c_0(c_2(c_3(c_0(c_3(c_0(c_2(c_1(c_0(c_0(c_0(c_3(c_3(c_0(z0)))))))))))))))))) -> c10(0'(0(3(1(0(3(0(0(3(3(0(3(3(0(0(2(0(2(z0)))))))))))))))))), 0'(3(1(0(3(0(0(3(3(0(3(3(0(0(2(0(2(z0))))))))))))))))), 3'(1(0(3(0(0(3(3(0(3(3(0(0(2(0(2(z0)))))))))))))))), 1'(0(3(0(0(3(3(0(3(3(0(0(2(0(2(z0))))))))))))))), 0'(3(0(0(3(3(0(3(3(0(0(2(0(2(z0)))))))))))))), 3'(0(0(3(3(0(3(3(0(0(2(0(2(z0))))))))))))), 0'(0(3(3(0(3(3(0(0(2(0(2(z0)))))))))))), 0'(3(3(0(3(3(0(0(2(0(2(z0))))))))))), 3'(3(0(3(3(0(0(2(0(2(z0)))))))))), 3'(0(3(3(0(0(2(0(2(z0))))))))), 0'(3(3(0(0(2(0(2(z0)))))))), 3'(3(0(0(2(0(2(z0))))))), 3'(0(0(2(0(2(z0)))))), 0'(0(2(0(2(z0))))), 0'(2(0(2(z0)))), 2'(0(2(z0))), 0'(2(z0)), 2'(z0))
   0'(c_0(c_1(c_1(c_2(c_1(c_3(c_1(c_3(c_1(c_1(c_1(c_2(c_2(c_1(c_0(c_2(c_2(z0)))))))))))))))))) -> c11(2'(1(1(1(1(0(3(1(1(1(2(0(3(1(0(2(2(2(z0)))))))))))))))))), 1'(1(1(1(0(3(1(1(1(2(0(3(1(0(2(2(2(z0))))))))))))))))), 1'(1(1(0(3(1(1(1(2(0(3(1(0(2(2(2(z0)))))))))))))))), 1'(1(0(3(1(1(1(2(0(3(1(0(2(2(2(z0))))))))))))))), 1'(0(3(1(1(1(2(0(3(1(0(2(2(2(z0)))))))))))))), 0'(3(1(1(1(2(0(3(1(0(2(2(2(z0))))))))))))), 3'(1(1(1(2(0(3(1(0(2(2(2(z0)))))))))))), 1'(1(1(2(0(3(1(0(2(2(2(z0))))))))))), 1'(1(2(0(3(1(0(2(2(2(z0)))))))))), 1'(2(0(3(1(0(2(2(2(z0))))))))), 2'(0(3(1(0(2(2(2(z0)))))))), 0'(3(1(0(2(2(2(z0))))))), 3'(1(0(2(2(2(z0)))))), 1'(0(2(2(2(z0))))), 0'(2(2(2(z0)))), 2'(2(2(z0))), 2'(2(z0)), 2'(z0))
   0'(c_3(c_3(c_0(c_0(c_0(c_1(c_3(c_2(c_2(c_3(c_2(c_1(c_3(c_0(c_0(c_2(c_1(z0)))))))))))))))))) -> c12(0'(2(2(0(0(3(0(2(3(1(0(3(1(0(3(2(3(1(z0)))))))))))))))))), 2'(2(0(0(3(0(2(3(1(0(3(1(0(3(2(3(1(z0))))))))))))))))), 2'(0(0(3(0(2(3(1(0(3(1(0(3(2(3(1(z0)))))))))))))))), 0'(0(3(0(2(3(1(0(3(1(0(3(2(3(1(z0))))))))))))))), 0'(3(0(2(3(1(0(3(1(0(3(2(3(1(z0)))))))))))))), 3'(0(2(3(1(0(3(1(0(3(2(3(1(z0))))))))))))), 0'(2(3(1(0(3(1(0(3(2(3(1(z0)))))))))))), 2'(3(1(0(3(1(0(3(2(3(1(z0))))))))))), 3'(1(0(3(1(0(3(2(3(1(z0)))))))))), 1'(0(3(1(0(3(2(3(1(z0))))))))), 0'(3(1(0(3(2(3(1(z0)))))))), 3'(1(0(3(2(3(1(z0))))))), 1'(0(3(2(3(1(z0)))))), 0'(3(2(3(1(z0))))), 3'(2(3(1(z0)))), 2'(3(1(z0))), 3'(1(z0)), 1'(z0))
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   0'(c_3(c_0(c_0(c_2(c_1(c_0(c_0(c_2(c_1(c_2(c_2(c_3(c_2(c_0(c_0(c_2(c_0(c_2(c_0(c_1(c_3(c_0(c_0(c_1(c_3(c_0(c_2(c_0(c_1(c_3(c_1(c_1(c_3(c_1(z0))))))))))))))))))))))))))))))))))) -> c9(0'(2(0(0(0(2(0(3(0(2(2(0(1(1(3(2(2(0(2(0(1(3(1(1(2(1(0(0(3(3(0(0(1(3(1(z0))))))))))))))))))))))))))))))))))), 2'(0(0(0(2(0(3(0(2(2(0(1(1(3(2(2(0(c_2(c_0(c_1(c_3(c_0(c_0(c_1(c_3(c_0(c_2(c_0(c_1(c_3(c_1(c_1(c_3(c_1(z0)))))))))))))))))))))))))))))))))), 0'(0(0(2(0(3(0(2(2(0(1(1(3(2(2(0(c_2(c_0(c_1(c_3(c_0(c_0(c_1(c_3(c_0(c_2(c_0(c_1(c_3(c_1(c_1(c_3(c_1(z0))))))))))))))))))))))))))))))))), 0'(0(2(0(3(0(2(2(0(1(1(3(2(2(0(c_2(c_0(c_1(c_3(c_0(c_0(c_1(c_3(c_0(c_2(c_0(c_1(c_3(c_1(c_1(c_3(c_1(z0)))))))))))))))))))))))))))))))), 0'(2(0(3(0(2(2(0(1(1(3(2(2(0(c_2(c_0(c_1(c_3(c_0(c_0(c_1(c_3(c_0(c_2(c_0(c_1(c_3(c_1(c_1(c_3(c_1(z0))))))))))))))))))))))))))))))), 2'(0(3(0(2(2(0(1(1(3(2(2(0(c_2(c_0(c_1(c_3(c_0(c_0(c_1(c_3(c_0(c_2(c_0(c_1(c_3(c_1(c_1(c_3(c_1(z0)))))))))))))))))))))))))))))), 0'(3(0(2(2(0(1(1(3(2(2(0(c_2(c_0(c_1(c_3(c_0(c_0(c_1(c_3(c_0(c_2(c_0(c_1(c_3(c_1(c_1(c_3(c_1(z0))))))))))))))))))))))))))))), 3'(0(2(2(0(1(1(3(2(2(0(c_2(c_0(c_1(c_3(c_0(c_0(c_1(c_3(c_0(c_2(c_0(c_1(c_3(c_1(c_1(c_3(c_1(z0)))))))))))))))))))))))))))), 0'(2(2(0(1(1(3(2(2(0(c_2(c_0(c_1(c_3(c_0(c_0(c_1(c_3(c_0(c_2(c_0(c_1(c_3(c_1(c_1(c_3(c_1(z0))))))))))))))))))))))))))), 2'(2(0(1(1(3(2(2(0(c_2(c_0(c_1(c_3(c_0(c_0(c_1(c_3(c_0(c_2(c_0(c_1(c_3(c_1(c_1(c_3(c_1(z0)))))))))))))))))))))))))), 2'(0(1(1(3(2(2(0(c_2(c_0(c_1(c_3(c_0(c_0(c_1(c_3(c_0(c_2(c_0(c_1(c_3(c_1(c_1(c_3(c_1(z0))))))))))))))))))))))))), 0'(1(1(3(2(2(0(c_2(c_0(c_1(c_3(c_0(c_0(c_1(c_3(c_0(c_2(c_0(c_1(c_3(c_1(c_1(c_3(c_1(z0)))))))))))))))))))))))), 1'(1(3(2(2(0(c_2(c_0(c_1(c_3(c_0(c_0(c_1(c_3(c_0(c_2(c_0(c_1(c_3(c_1(c_1(c_3(c_1(z0))))))))))))))))))))))), 1'(3(2(2(0(c_2(c_0(c_1(c_3(c_0(c_0(c_1(c_3(c_0(c_2(c_0(c_1(c_3(c_1(c_1(c_3(c_1(z0)))))))))))))))))))))), 3'(2(2(0(c_2(c_0(c_1(c_3(c_0(c_0(c_1(c_3(c_0(c_2(c_0(c_1(c_3(c_1(c_1(c_3(c_1(z0))))))))))))))))))))), 2'(2(0(c_2(c_0(c_1(c_3(c_0(c_0(c_1(c_3(c_0(c_2(c_0(c_1(c_3(c_1(c_1(c_3(c_1(z0)))))))))))))))))))), 2'(0(c_2(c_0(c_1(c_3(c_0(c_0(c_1(c_3(c_0(c_2(c_0(c_1(c_3(c_1(c_1(c_3(c_1(z0))))))))))))))))))), 0'(c_2(c_0(c_1(c_3(c_0(c_0(c_1(c_3(c_0(c_2(c_0(c_1(c_3(c_1(c_1(c_3(c_1(z0)))))))))))))))))))
K tuples:none
Defined Rule Symbols:   encArg_1, 0_1, 1_1, 2_1, 3_1

Defined Pair Symbols:   0'_1, 1'_1, 2'_1, 3'_1, ENCODE_0_1, ENCODE_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, c21_18, c22_18, c23_18, c24_18, c25_18, c26_18, c27_18, c28_18, c29_18, c30_18, c31_18, c32_18, c33_18, c34_18, 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_18, c57_18, c58_18, c60_18, c61_18, c62_18, c63_18, c64_18, c65_18, c66_18, c67_18, c68_18, c69_18, c70_18, c71_18, c72_18, c73_18, c74_18, c75_18, c76_18, c77_18, c78_18, c79_18, c80_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